{ "metadata": { "name": "", "signature": "sha256:c8775710e7309d80775f14a9e6c1ef41cf1ae38cff39557653bbab48978406ae" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[Sebastian Raschka](http://www.sebastianraschka.com) \n", "last updated: 05/07/2014\n", "\n", "- [Link to the containing GitHub Repository](https://github.com/rasbt/pattern_classification)\n", "- [Link to this IPython Notebook on GitHub](https://github.com/rasbt/pattern_classification/blob/master/parameter_estimation_techniques/parzen_window_technique.ipynb)\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "I am really looking forward to your comments and suggestions to improve and extend this tutorial! Just send me a quick note \n", "via Twitter: [@rasbt](https://twitter.com/rasbt) \n", "or Email: [bluewoodtree@gmail.com](mailto:bluewoodtree@gmail.com)\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Kernel Density Estimation - The Parzen-window technique explained by a step-by-step approach" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "#Sections\n", "\n", "- [1 Introduction](#introduction)\n", "- [2 Defining the Region $R_n$](#region_rn)\n", " - [2.1 Two different approaches - fixed volume vs. fixed number of samples in a variable volume](#two_cases)\n", " - [2.2 Example 3D-hypercubes](#3d_hypercubes)\n", " - [2.3 The *window function*](#window_function)\n", " - [2.3.1 Implementing the window function](#implement_window)\n", " - [2.3.2 Quantifying the sample points inside the 3D-hypercube](#count_hypercube)\n", " - [2.4 Parzen-window estimation](#parzen_estimation)\n", " - [2.5 Critical parameters of the Parzen-window technique: window width and kernel](#critical_parameters)\n", " - [2.6 Critical assumption: Convergence](#convergence)\n", " - [2.7 Implementing the Parzen-window estimation](#implement_parzen_est)\n", "- [3 Applying the Parzen-window approach to a random mutlivariate Gaussian dataset](#applying_parzen)\n", " - [3.1 Generating 10000 random 2D-patterns from a Gaussian distribution](#gen_1000samples)\n", " - [3.2 Implementing and plotting the multivariate Gaussian density function](#gaussian_density)\n", " - [3.2.1 Plotting the bivariate Gaussian densities](#plot_gaussian)\n", " - [3.2.2 Implementing the code to calculate the multivariate Gaussian densities](#code_gauss_dens)\n", " - [3.2.2.1 Testing the multivariate Gaussian PDF implementation](#testing_gauss)\n", " - [3.2.3 Comparing the Parzen-window estimation to the actual densities](#compare_parzen)\n", " - [3.2.3.1 Choosing an appropriate window size](#choosing_window)\n", " - [3.2.3.2 Estimated vs. actual densities](#estimate_vs_actual)\n", " - [3.2.3.3 Plotting the estimated bivariate Gaussian densities](#plot_estimation)\n", "- [4 Conclusion and Drawbacks of the Parzen-window technique](#conclusion_drawbacks)\n", "- [5 Replacing the hypercube with a Gaussian Kernel](#replace_kernel)\n", " - [5.1 Summarizing the implementation of the Parzen-window estimation with a hypercube kernel](#hypercube_kernel_summary)\n", " - [5.2 Using the Gaussian Kernel from `scipy.stats`](#scipy_kernel)\n", " - [5.3 Comparing Gaussian and hypercube kernel for a arbitraty window width](#gaussian_vs_hypercube)\n", " - [5.4 Comparing the different bandwith estimation calculations for the Gaussian kernel](#compare_bw)\n", "- [6 Plotting the estimates from the different Kernels](#plotting_all)\n", " - [6.1 Window width effects: local peaks and averaging](#window_width_effect)\n", "- [7 Using the kernel density estimation for a pattern classification task](#kde_classify)\n", " - [7.1 Generating a sample training and test dataset](#generating_datasets)\n", " - [7.2 Implementing the classifier using Bayes' decision rule](#bayes_rule_parzen)\n", " - [7.3 Density estimation via the Parzen-window technique with a Gaussian kernel](#classify_kde_est)\n", " - [7.4 Classifying the test data and calculating the error rate](#calc_error)\n", "
\n", "
\n", "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](https://raw.githubusercontent.com/rasbt/pattern_classification/master/Images/parzen_goal.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# 1 Introduction\n", "[[back to top](#sections)]\n", "\n", "\n", "The Parzen-window technique is a widely used non-parametric approach to estimate a probability density function $p(\\pmb x)$ for a specific point $\\pmb x$ from a sample $\\pmb x_n$ that doesn't require any knowledge or assumption about the underying distribution.\n", "\n", "**Putting it in context - Where would this method be useful?** \n", "\n", "\n", "A popular application of the Parzen-window technique is to estimate the class-conditional densities (or also often called 'likelihoods') $p(\\pmb x \\; | \\omega_i)$ in a supervised pattern classification problem from the training dataset (where $\\pmb x$ is a multi-dimensional sample that belongs to particular class $\\omega_i$). \n", "\n", "\n", "Imagine that we are about to design a Bayes classifier for solving a statistical pattern classification task using Bayes's rule: \n", "\n", "$P(\\omega_i\\; | \\;\\pmb x) = \\frac{p(\\pmb x \\; | \\; w_i) \\cdot P(\\omega_i)}{p(\\pmb x)} \n", " \\\\ \\Rightarrow posterior \\; probability = \\frac{\\; likelihood \\; \\cdot \\; prior \\; probability}{evidence}$ \n", "\n", "If the parameters of the the *class-conditional densities* (also called *likelihoods*) are known, it is pretty easy to design the classifier. I have solved some simple examples in IPython notebooks under the section [Parametric Approaches](https://github.com/rasbt/pattern_classification#param).\n", "\n", "However, it becomes much more challenging, if we don't don't have prior knowledge about the underlying parameters that define the model of our data. \n", " \n", "Imagine we are about to design a classifier for a pattern classification task where the parameters of the underlying sample distribution are not known. Therefore, we wouldn't need the knowledge about the whole range of the distribution; it would be sufficient to know the probability of the particular point, which we want to classify, in order to make the decision. And here we are going to see how we can estimate this probability from the training sample. \n", "However, the only problem of this approach would be that we would seldom have exact values - if we consider the histogram of the frequencies for a arbitrary training dataset. Therefore, we define a certain *region* (i.e., the **Parzen-window**) around the particular value to make the estimate.\n", "\n", "**And where does this name *Parzen-window* come from?** \n", "As it was quite common in the earlier days, this technique was named after its inventor, Emanuel Parzen, who published his detailed mathematical analysis in 1962 in the *Annals of Mathematical Statistics*: [On the Estimation of a Probability Density Function and Mode](http://ssg.mit.edu/cal/abs/2000_spring/np_dens/density-estimation/parzen62.pdf).\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# 2 Defining the Region $R_n$\n", "[[back to top](#sections)]\n", "\n", "The basis of this approach is to count how many samples fall within a specified region $R_n$ (or \"window\" if you will). Our intuition tells us, that (based on the observation), the probability that one sample falls into this region is \n", "\n", "$p(x) = \\frac{\\#\\;of\\;samples\\;in\\;R}{total \\; samples}$\n", "\n", "To tackle this problem from a more mathematical standpoint to estimate \"the probability of observing $k$ points out of $n$ in a Region $R$\" we consider a binomial distribution \n", "\n", "
$p_k = \\bigg[ \\begin{array}{c} n \\\\ k \\end{array}\\bigg] \\cdot p^k \\cdot (1-p)^{n-k}$ \n", "
and make the assumption that in a binomial distribution, the probability peaks sharply at the mean, so that: \n", "
$E[k] = n \\cdot p \\; \\sim \\; k = n \\cdot p$\n", "\n", "
\n", "And if we think of the probability of a continous variable, we know that it is defined as:\n", "\n", "$p(\\pmb x) = \\int_R dx = p(\\pmb x) \\cdot V$, \n", "
where $V$ is the volume of the region $R$,\n", "\n", "and if we rearrange those terms, so that we arrive at the following equation, which we will use later:\n", "
\n", "\n", "$\\frac{k}{n} = p(\\pmb x) \\cdot V \\\\\n", "\\Rightarrow p(\\pmb x) = \\frac{k / n}{V}$\n", "\n", "This simple equation above (i.e, the \"probability estimate\") lets us caclulate the probability density of a point $\\pmb x$ by counting how many points $k$ fall in a defined region (or volume). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 2.1 Two different approaches - fixed volume vs. fixed number of samples in a variable volume\n", "[[back to top](#sections)]\n", "\n", "Now, there are two possible approaches to estimate the densities at different points $\\pmb x^*$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Case 1 - fixed volume:\n", "For a particular number $n$ (= number of total points), we use volume $V$ of a fixed size and observe how many points $k$ fall into the region. In other words, we use the same volume to make an estimate at different regions. \n", "**The Parzen-window technique falls into this category!**\n", "\n", "![](https://raw.githubusercontent.com/rasbt/pattern_classification/master/Images/mle_case1.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Case 2 - fixed $k$:\n", "For a particular number $n$ (= number of total points), we use a fixed number $k$ (number of points that fall inside the region or volume) and adjust the volume accordingly. \n", "(**The k-nearest neighbor technique uses this approach, which will be discussed in a separate article.**)\n", "![](https://raw.githubusercontent.com/rasbt/pattern_classification/master/Images/mle_case2.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 2.2 Example 3D-hypercubes\n", "[[back to top](#sections)]\n", "\n", "
To illustrate this with an example and a set of equations, let us assume this region $R_n$ is a hypercube. \n", "And the volume of this hypercube is defined by $V_n = {h_n}^d$, where $h_n$ is the length of the hypercube, and $d$ is the number of dimensions. \n", "For an 2D-hypercube with length 1, for example, this would be $V_1 = {1}^2$ and for a 3D hypercube $V_1 = {1}^3$, respectively.\n", "


\n", "So let us visualize such an simple example: a typical 3-dimensional unit hypercube ($h_1 = 1$) representing the region $R_1$, and 10 sample points, where 3 of them lie within the hypercube (red triangles), and the other 7 outside (blue dots).\n", "\n", "**Note that using a hypercube would not be an ideal choice for a real application, but it certainly makes the implementations of the following steps a lot shorter and easier to follow**." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from itertools import product, combinations\n", "fig = plt.figure(figsize=(7,7))\n", "ax = fig.gca(projection='3d')\n", "ax.set_aspect(\"equal\")\n", "\n", "# Plot Points\n", "\n", "# samples within the cube\n", "X_inside = np.array([[0,0,0],[0.2,0.2,0.2],[0.1, -0.1, -0.3]])\n", "\n", "X_outside = np.array([[-1.2,0.3,-0.3],[0.8,-0.82,-0.9],[1, 0.6, -0.7],\n", " [0.8,0.7,0.2],[0.7,-0.8,-0.45],[-0.3, 0.6, 0.9],\n", " [0.7,-0.6,-0.8]])\n", "\n", "for row in X_inside:\n", " ax.scatter(row[0], row[1], row[2], color=\"r\", s=50, marker='^')\n", "\n", "for row in X_outside: \n", " ax.scatter(row[0], row[1], row[2], color=\"k\", s=50)\n", "\n", "# Plot Cube\n", "h = [-0.5, 0.5]\n", "for s, e in combinations(np.array(list(product(h,h,h))), 2):\n", " if np.sum(np.abs(s-e)) == h[1]-h[0]:\n", " ax.plot3D(*zip(s,e), color=\"g\")\n", " \n", "ax.set_xlim(-1.5, 1.5)\n", "ax.set_ylim(-1.5, 1.5)\n", "ax.set_zlim(-1.5, 1.5)\n", "\n", "plt.show()\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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1D1/LxUKsFze9R60d9eFAL/5iR984M+fJOwEVFB3UdRuxWMw17hcCSQnmeR6B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"text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 2.3 The *window function*\n", "[[back to top](#sections)]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we visualized the region $R_1$ like above, it is easy and intuitive to count how many samples fall within this region, and how many lie outside. To approach this problem more mathematically, we would use the following equation to count the samples $k_n$ within this hypercube, where $\\phi$ is our so-called *window function*:\n", "\n", "$\\phi(\\pmb u) = \\Bigg[ \\begin{array}{ll} 1 & \\quad |u_j| \\leq 1/2 \\; ;\\quad \\quad j = 1, ..., d \\\\\n", "0 & \\quad otherwise \\end{array} $ \n", "for a hypercube of unit length 1 centered at the coordinate system's origin. What this function basically does is assigning a value 1 to a sample point if it lies within 1/2 of the edges of the hypercube, and 0 if lies outside (note that the evaluation is done for all dimensions of the sample point).\n", "\n", "\n", "If we extend on this concept, we can define a more general equation that applies to hypercubes of any length $h_n$ that are centered at $\\pmb x$: \n", "\n", "$k_n = \\sum\\limits_{i=1}^{n} \\phi \\bigg( \\frac{\\pmb x - \\pmb x_i}{h_n} \\bigg)$ \n", "\n", "where $\\pmb u = \\bigg( \\frac{\\pmb x - \\pmb x_i}{h_n} \\bigg)$ \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### 2.3.1 Implementing the *window function*\n", "[[back to top](#sections)]" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def window_function(x_vec, unit_len=1):\n", " \"\"\"\n", " Implementation of the window function. Returns 1 if 3x1-sample vector\n", " lies within a origin-centered hypercube, 0 otherwise.\n", " \n", " \"\"\"\n", " for row in x_vec:\n", " if np.abs(row) > (unit_len/2):\n", " return 0\n", " return 1" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### 2.3.2 Quantifying the sample points inside and outside $R_n$ (the 3D-hypercube)\n", "[[back to top](#sections)]\n", "\n", "Using the *window function* that we just implemented above, let us now quantify how many points actually lie inside and outside the hypercube." ] }, { "cell_type": "code", "collapsed": false, "input": [ "X_all = np.vstack((X_inside,X_outside))\n", "assert(X_all.shape == (10,3))\n", "\n", "k_n = 0\n", "for row in X_all:\n", " k_n += window_function(row.reshape(3,1))\n", " \n", "print('Points inside the hypercube:', k_n)\n", "print('Points outside the hybercube:', len(X_all) - k_n)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Points inside the hypercube: 3\n", "Points outside the hybercube: 7\n" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 2.4 Parzen-window estimation \n", "[[back to top](#sections)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on the [window function](#window_function) that we defined in the section above, we can now formulate the Parzen-window estimation with a hypercube kernel as follows:\n", "\n", "$p_n(\\pmb x) = \\frac{1}{n} \\sum\\limits_{i=1}^{n} \\frac{1}{h^d} \\phi \\bigg[ \\frac{\\pmb x - \\pmb x_i}{h_n} \\bigg]$ \n", "\n", "where \n", "$h^d = V_n\\quad$ and $\\quad\\phi \\bigg[ \\frac{\\pmb x - \\pmb x_i}{h_n} \\bigg] = k$\n", "\n", "And applying this to out unit-hypercube example above, for which 3 out of 10 samples fall inside the hypercube (region $R$), we can calculate the probability $p(\\pmb x)$ that $\\pmb x$ samples fall within region $R$ as follows:\n", "\n", "$p(\\pmb x) = \\frac{k/n}{h^d} = \\frac{3/10}{1^3} = \\frac{3}{10} = 0.3$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 2.6 Critical assumption: Convergence\n", "[[back to top](#sections)]\n", "\n", "One of the most critical assumptions why this technique works (i.e., the Parzen-window estimation, but the k-nearest neighbor technique as well), is that $p_n$ (where $n$ stands for the \"number of samples\", not \"non-parametric\" ;) ) converges to the true density $p(\\pmb x)$ when we assume an infinite number of training samples, which was nicely shown by Emanuel Parzen in his [paper](http://ssg.mit.edu/cal/abs/2000_spring/np_dens/density-estimation/parzen62.pdf)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 2.5 Critical parameters of the Parzen-window technique: window width and kernel\n", "[[back to top](#sections)]\n", "\n", "\n", "The two critical parameters in the Parzen-window techniques are\n", "\n", "- 1) the window width \n", "- 2) the kernel\n", "\n", "#### 1) window width:\n", "Let us skip this part for now and [discuss and explore the question of choosing an appropriate window width later](#choosing_window)by using an hands-on example. \n", "\n", "#### 2) kernel:\n", "Most commonly, either a hypercube or a Gaussian kernel is used for the window function. But how do we know which is better? It really depends on the training sample. In practice, the choice is often made by testing the derived pattern classifier to see which method leads to a better performance on the test data set. \n", "Intuitively, it would make sense to use a Gaussian kernel for a data set that follows a Gaussian distribution. **But remmeber, the whole purpose of the Parzen-window estimation is to estimate densities of a unknown distribution!** So, in practice we wouldn't know whether our data stems from a Gaussian distribution or not (otherwise we wouldn't need to estimate, but can use a parametric techniqe like MLE or Bayesian Estimation). \n", "If we would decide to use a Gaussian kernel instead of the hypercube, we can just simply swap the terms of the window function, which we defined above for the hypercube, by:\n", "\n", "$\\frac{1}{(\\sqrt{2 \\pi})^d h_{n}^{d}} exp \\; \\bigg[ -\\frac{1}{2} \\bigg(\\frac{\\pmb x - \\pmb x_i}{h_n} \\bigg)^2 \\bigg]$\n", "\n", "\n", "The Parzen-window estimation would then look like this: \n", "\n", "\n", "\n", "$p_n(\\pmb x) = \\frac{1}{n} \\sum\\limits_{i=1}^{n} \\frac{1}{h^d} \\phi \\Bigg[ \\frac{1}{(\\sqrt {2 \\pi})^d h_{n}^{d}} exp \\; \\bigg[ -\\frac{1}{2} \\bigg(\\frac{\\pmb x - \\pmb x_i}{h_n} \\bigg)^2 \\bigg] \\Bigg]$ \n", "\n", "
\n", "
\n", "**mixing different kernels:** \n", "In some papers you will see, that the authors mixed hypercube and Gaussian kernels to estimate the densities at different regions. In practice, this might work very well, however, but note that in theory this would violate on of the underlying principles: that the density integrates to 1." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\lim\\limits_{n \\rightarrow \\infty}{p_n(\\pmb x)} = p(\\pmb x)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A few other requirements are that at the limit the volume we choose for the Parzen-window becomes infinite small: \n", "\n", "\n", "$\\lim\\limits_{n \\rightarrow \\infty}{V_n} = 0$ \n", "\n", "\n", "and the number of points $k_n$ in this region converges to:\n", "\n", "\n", "$\\lim\\limits_{n \\rightarrow \\infty}{k_n} = \\infty$ \n", "\n", "from which we can conclude:\n", "\n", "$\\lim\\limits_{n \\rightarrow \\infty}{\\frac{k_n}{n}} = 0$ \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 2.7 Implementing the Parzen-window estimation\n", "[[back to top](#sections)]\n", "\n", "And again, let us go to the more interesting part and implement the code for the hypercube kernel:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def parzen_window_est(x_samples, h=1, center=[0,0,0]):\n", " '''\n", " Implementation of the Parzen-window estimation for hypercubes.\n", " \n", " Keyword arguments:\n", " x_samples: A 'n x d'-dimensional numpy array, where each sample\n", " is stored in a separate row.\n", " h: The length of the hypercube.\n", " center: The coordinate center of the hypercube\n", " \n", " Returns the probability density for observing k samples inside the hypercube.\n", " \n", " '''\n", " dimensions = x_samples.shape[1]\n", "\n", " assert (len(center) == dimensions), 'Number of center coordinates have to match sample dimensions'\n", " k = 0\n", " for x in x_samples:\n", " is_inside = 1\n", " for axis,center_point in zip(x, center):\n", " if np.abs(axis-center_point) > (h/2):\n", " is_inside = 0\n", " k += is_inside\n", " return (k / len(x_samples)) / (h**dimensions)\n", "\n", "print('p(x) =', parzen_window_est(X_all, h=1))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "p(x) = 0.3\n" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "\n", "**At this point I can fully understand if you lost the overview a little bit. [I summarized the three crucial parts](#hypercube_kernel_summary) (hypercube kernel, window function, and the resulting parzen-window estimation) in a later section, and I think it is worthwhile to take a brief look at it, before we apply it to a data set below.**\n", "\n", "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# 3 Applying the Parzen-window approach to a random mutlivariate Gaussian dataset\n", "[[back to top](#sections)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us use an 2-dimensional dataset drawn from a multivariate Gaussian distribution to apply the Parzen-window technique for the density estimation. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 3.1 Generating 10000 random 2D-patterns from a Gaussian distribution]\n", "[[back to top](#sections)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The general multivariate Gaussian probability density function (pdf) is defined as: \n", "$p(\\pmb x) = \\frac{1}{(2\\pi)^{d/2} \\; |\\Sigma|^{1/2}} exp \\bigg[ -\\frac{1}{2}(\\pmb x - \\pmb \\mu)^t \\Sigma^{-1}(\\pmb x - \\pmb \\mu) \\bigg]$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we will use the following parameters for drawing the random samples:\n", " \n", "$\\pmb{\\mu} = \\bigg[ \n", "\\begin{array}{c}\n", "0\\\\\n", "0\\\\\n", "\\end{array} \\bigg]\\;, \\quad$ \n", "$\\Sigma = \\bigg[ \n", "\\begin{array}{cc}\n", "\\sigma_{11}^2 & \\sigma_{12}^2\\\\\n", "\\sigma_{21}^2 & \\sigma_{22}^2\\\\\n", "\\end{array} \\bigg] \\; = \\bigg[ \n", "\\begin{array}{cc}\n", "1 & 0\\\\\n", "0 & 1\\\\\n", "\\end{array} \\bigg]$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "# Generate 10000 random 2D-patterns\n", "mu_vec = np.array([0,0])\n", "cov_mat = np.array([[1,0],[0,1]])\n", "x_2Dgauss = np.random.multivariate_normal(mu_vec, cov_mat, 10000)\n", "\n", "print(x_2Dgauss.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(10000, 2)\n" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "#%pylab inline\n", "#from matplotlib import pyplot as plt\n", "\n", "f, ax = plt.subplots(figsize=(7, 7))\n", "ax.scatter(x_2Dgauss[:,0], x_2Dgauss[:,1], marker='o', color='green', s=4, alpha=0.3)\n", "plt.title('10000 samples randomly drawn from a 2D Gaussian distribution')\n", "plt.ylabel('x2')\n", "plt.xlabel('x1')\n", "ftext = 'p(x) ~ N(mu=(0,0)^t, cov=I)'\n", "plt.figtext(.15,.85, ftext, fontsize=11, ha='left')\n", "plt.ylim([-4,4])\n", "plt.xlim([-4,4])\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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BwcHIzs7ucLr2snPnTrz99tucsmxQyHv37sXy5cu588uXL8ePP/6Ihx9+GMuW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\n/9pWtw29Ul/2xXRFXLw58SYahYaDXQd5rPUxLnovMh2Z5oz7DDat7bb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YdXZkUhk2jY1k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wfJl/KUyiUCqQDpYpql6BLlSplkMUkunWNf2z7xga2vJVvMirlm5QLHpo5xbPIY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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 3.2 Implementing and plotting the multivariate Gaussian density function\n", "[[back to top](#sections)]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### 3.2.1 Plotting the bivariate Gaussian densities\n", "[[back to top](#sections)]\n", "\n", "First, let us plot the multivariate Gaussian distribution (here: bivariate) in a 3D plot to get an better idea of the actual density distribution." ] }, { "cell_type": "code", "collapsed": false, "input": [ "#%pylab inline\n", "#import numpy as np\n", "#from matplotlib import pyplot as plt\n", "from matplotlib.mlab import bivariate_normal\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "fig = plt.figure(figsize=(10, 7))\n", "ax = fig.gca(projection='3d')\n", "x = np.linspace(-5, 5, 200)\n", "y = x\n", "X,Y = np.meshgrid(x, y)\n", "Z = bivariate_normal(X, Y)\n", "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "\n", "ax.set_zlim(0, 0.2)\n", "ax.zaxis.set_major_locator(plt.LinearLocator(10))\n", "ax.zaxis.set_major_formatter(plt.FormatStrFormatter('%.02f'))\n", "\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_zlabel('p(x)')\n", "\n", "plt.title('Bivariate Gaussian distribution')\n", "\n", "fig.colorbar(surf, shrink=0.5, aspect=7, cmap=plt.cm.coolwarm)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ejc7OzgHPe+ONN/D5z38eXV1dGDp0qKPXMoIBEx0BolqRL7cX21pTUQVB8HXB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\nzeA4fvw4tmzZguTkZN7dwkxdQkIaRqGD8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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### 3.2.2 Implementing the code to calculate the multivariate Gaussian densities\n", "[[back to top](#sections)]\n", "\n", "To calculate the probabilities from the multivariate Gaussian density function and compare the results our estimate, let us implement it using the following equation:\n", "\n", "$p(\\pmb x) = \\frac{1}{(2\\pi)^{d/2} \\; |\\Sigma|^{1/2}} exp \\bigg[ -\\frac{1}{2}(\\pmb x - \\pmb \\mu)^t \\Sigma^{-1}(\\pmb x - \\pmb \\mu) \\bigg]$\n", "\n", "Unfortunately, there is currently no Python library that provides this functionality. Good news is, that `scipy.stats.multivariate_normal.pdf()` will be implemented in the new release candidate of `scipy` (v. 0.14)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "#import numpy as np\n", "\n", "def pdf_multivariate_gauss(x, mu, cov):\n", " '''\n", " Caculate the multivariate normal density (pdf)\n", " \n", " Keyword arguments:\n", " x = numpy array of a \"d x 1\" sample vector\n", " mu = numpy array of a \"d x 1\" mean vector\n", " cov = \"numpy array of a d x d\" covariance matrix\n", " '''\n", " assert(mu.shape[0] > mu.shape[1]), 'mu must be a row vector'\n", " assert(x.shape[0] > x.shape[1]), 'x must be a row vector'\n", " assert(cov.shape[0] == cov.shape[1]), 'covariance matrix must be square'\n", " assert(mu.shape[0] == cov.shape[0]), 'cov_mat and mu_vec must have the same dimensions'\n", " assert(mu.shape[0] == x.shape[0]), 'mu and x must have the same dimensions'\n", " part1 = 1 / ( ((2* np.pi)**(len(mu)/2)) * (np.linalg.det(cov)**(1/2)) )\n", " part2 = (-1/2) * ((x-mu).T.dot(np.linalg.inv(cov))).dot((x-mu))\n", " return float(part1 * np.exp(part2))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "### 3.2.2.1 Testing the multivariate Gaussian PDF implementation\n", "[[back to top](#sections)]\n", "\n", "Let us quickly confirm that the multivariate Gaussian, which we just implemented, works as expected by comparing \n", "it with the bivariate Gaussian from the `matplotlib.mlab` package." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib.mlab import bivariate_normal\n", "\n", "x = np.array([[0],[0]])\n", "mu = np.array([[0],[0]])\n", "cov = np.eye(2) \n", "\n", "mlab_gauss = bivariate_normal(x,x)\n", "mlab_gauss = float(mlab_gauss[0]) # because mlab returns an np.array\n", "impl_gauss = pdf_multivariate_gauss(x, mu, cov)\n", "\n", "print('mlab_gauss:', mlab_gauss)\n", "print('impl_gauss:', impl_gauss)\n", "assert(mlab_gauss == impl_gauss), 'Implementations of the mult. Gaussian return different pdfs'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "mlab_gauss: 0.15915494309189535\n", "impl_gauss: 0.15915494309189535\n" ] } ], "prompt_number": 73 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "###3.2.3 Comparing the Parzen-window estimation to the actual densities\n", "[[back to top](#sections)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And finally, let us compare the densities that we estimate using our [implementation of the Parzen-window estimation](#implement_parzen_est) with the actual multivariate Gaussian densities." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But before we do the comparison, we have to ask ourselves one more question: Which window size should we choose (i.e., what should be the side length $h$ of our hypercube)? \n", "\n", "The window width is a function of the number of training samples, \n", "\n", "$h_n \\propto \\frac{1}{\\sqrt{n}}$ \n", "\n", "But why $\\sqrt{n}$, not just $n$? \n", "This is because the number of $k_n$ points within a window grows much smaller than the number of training samples, although \n", "\n", "$\\lim\\limits_{n \\rightarrow \\infty}{k_n} = \\infty$ \n", "\n", "we have:\n", "$ k < n$\n", "\n", "\n", "This is also one of the biggest drawbacks of the Parzen-window technique, since in practice, the number of training data is usually (too) small, which makes the choice of an 'optimal' window size difficult. \n", "\n", "**In practice, one would choose different window widths and analyze which one results in the best performance of the derived classifier.** The only guideline we have is that we assume that 'optimal' the window width shrinks with the number of training samples.\n", "\n", "\n", "If we would choose a window width that is \"too small\", this would result in local spikes, and a window width that is \"too big\" would average over the whole distribution. Below, I try to illustrate it using a 1D-sample. \n", "![](https://raw.githubusercontent.com/rasbt/pattern_classification/master/Images/parzen_window_width.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In a [later section](#window_width_effect) we will have a look how it looks like real data:\n", "\n", "![](../Images/parzen_window_effect.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### 3.2.3.1 Choosing an appropriate window size\n", "[[back to top](#sections)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For our example, we have the luxury of knowing the distribution of our data, so let us look at some possible window widths to see how it affects the density estimation for the center of the distribution \n", "(based on our [test](testing_gauss) in the section above, we would expect a value close to $p(\\pmb x) = 0.1592\\;$ )." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print('Predict p(x) at the center [0,0]: ')\n", "\n", "print('h = 0.1 ---> p(x) =', parzen_window_est(x_2Dgauss, h=0.1, center=[0, 0]))\n", "print('h = 0.3 ---> p(x) =',parzen_window_est(x_2Dgauss, h=0.3, center=[0, 0]))\n", "print('h = 0.6 ---> p(x) =',parzen_window_est(x_2Dgauss, h=0.6, center=[0, 0]))\n", "print('h = 1 ---> p(x) =',parzen_window_est(x_2Dgauss, h=1, center=[0, 0]))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Predict p(x) at the center [0,0]: \n", "h = 0.1 ---> p(x) =" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 0.17999999999999997\n", "h = 0.3 ---> p(x) =" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 0.1766666666666667\n", "h = 0.6 ---> p(x) =" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 0.15694444444444444\n", "h = 1 ---> p(x) =" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 0.1475\n" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This rough estimate above gives us some idea about a window size that would give us a quite reasonable estimate: A good value for $h$ should be somewhere around 0.6. \n", "\n", "But we can do better (maybe I should use a minimization algorithm here, but I think this example should illustrate the procedure sufficiently). So let us create 400 evenly spaced values between (0,1) for $h$ and see which gives us the estimate for the probability at the center of the distribution." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import operator\n", "\n", "# generate a range of 400 window widths between 0 < h < 1\n", "h_range = np.linspace(0.001, 1, 400)\n", "\n", "# calculate the actual density at the center [0, 0]\n", "mu = np.array([[0],[0]])\n", "cov = np.eye(2)\n", "actual_pdf_val = pdf_multivariate_gauss(np.array([[0],[0]]), mu, cov)\n", "\n", "# get a list of the differnces (|estimate-actual|) for different window widths\n", "parzen_estimates = [np.abs(parzen_window_est(x_2Dgauss, h=i, center=[0, 0])\n", " - actual_pdf_val) for i in h_range]\n", "\n", "# get the window width for which |estimate-actual| is closest to 0\n", "min_index, min_value = min(enumerate(parzen_estimates), key=operator.itemgetter(1))\n", "\n", "print('Optimal window width for this data set: ', h_range[min_index])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Optimal window width for this data set: 0.554330827068\n" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### 3.2.3.2 Estimated vs. actual densities\n", "[[back to top](#sections)]\n", "\n", "Now, that we have a \"appropriate\" window width, let us compare the estimates to the actual densities for some example points." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import prettytable\n", "\n", "p1 = parzen_window_est(x_2Dgauss, h=h_range[min_index], center=[0, 0])\n", "p2 = parzen_window_est(x_2Dgauss, h=h_range[min_index], center=[0.5, 0.5])\n", "p3 = parzen_window_est(x_2Dgauss, h=h_range[min_index], center=[0.3, 0.2])\n", "\n", "mu = np.array([[0],[0]])\n", "cov = np.eye(2) \n", "\n", "a1 = pdf_multivariate_gauss(np.array([[0],[0]]), mu, cov)\n", "a2 = pdf_multivariate_gauss(np.array([[0.5],[0.5]]), mu, cov)\n", "a3 = pdf_multivariate_gauss(np.array([[0.3],[0.2]]), mu, cov)\n", "\n", "results = prettytable.PrettyTable([\"\", \"predicted\", \"actual\"])\n", "results.add_row([\"p([0,0]^t\",p1, a1])\n", "results.add_row([\"p([0.5,0.5]^t\",p2, a2])\n", "results.add_row([\"p([0.3,0.2]^t\",p3, a3])\n", "\n", "print(results)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "+---------------+----------------+---------------------+\n", "| | predicted | actual |\n", "+---------------+----------------+---------------------+\n", "| p([0,0]^t | 0.159151557695 | 0.15915494309189535 |\n", "| p([0.5,0.5]^t | 0.122208992134 | 0.12394999430965298 |\n", "| p([0.3,0.2]^t | 0.150755520068 | 0.14913891880709737 |\n", "+---------------+----------------+---------------------+\n" ] } ], "prompt_number": 199 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see in the table above, our prediction works quite well!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### 3.2.3.3 Plotting the estimated bivariate Gaussian densities\n", "[[back to top](#sections)]\n", "\n", "Last but not least, let us plot the densities that we'd predict using the Parzen-window technique with a hypercube!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "##############################################\n", "### Predicted bivariate Gaussian densities ###\n", "##############################################\n", "\n", "fig = plt.figure(figsize=(10, 7))\n", "ax = fig.gca(projection='3d')\n", "\n", "X = np.linspace(-5, 5, 100)\n", "Y = np.linspace(-5, 5, 100)\n", "X,Y = np.meshgrid(X,Y)\n", "\n", "Z = []\n", "for i,j in zip(X.ravel(),Y.ravel()):\n", " Z.append(parzen_window_est(x_2Dgauss, h=h_range[min_index], center=[i, j]))\n", "\n", "Z = np.asarray(Z).reshape(100,100) \n", "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "\n", "ax.set_zlim(0, 0.2)\n", "\n", "ax.zaxis.set_major_locator(plt.LinearLocator(10))\n", "ax.zaxis.set_major_formatter(plt.FormatStrFormatter('%.02f'))\n", "\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_zlabel('p(x)')\n", "\n", "plt.title('Predicted bivariate Gaussian densities')\n", "\n", "fig.colorbar(surf, shrink=0.5, aspect=7, cmap=plt.cm.coolwarm)\n", "\n", "###########################################\n", "### Actual bivariate Gaussian densities ###\n", "###########################################\n", "\n", "\n", "fig = plt.figure(figsize=(10, 7))\n", "ax = fig.gca(projection='3d')\n", "x = np.linspace(-5, 5, 100)\n", "y = x\n", "X,Y = np.meshgrid(x, y)\n", "Z = bivariate_normal(X, Y)\n", "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "\n", "ax.set_zlim(0, 0.2)\n", "\n", "ax.zaxis.set_major_locator(plt.LinearLocator(10))\n", "ax.zaxis.set_major_formatter(plt.FormatStrFormatter('%.02f'))\n", "\n", "fig.colorbar(surf, shrink=0.5, aspect=7, cmap=plt.cm.coolwarm)\n", "\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_zlabel('p(x)')\n", "\n", "plt.title('Actual bivariate Gaussian densities')\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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N7uQuGSo6qFipZgZAMplEKBSqunCjTf8qcZHJd+XUDaCVsWHVWMzEKe8RRT4/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\nmjLbCREOi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tfQUI3IRvTcRVlq2YiqTnQapa4hktWEGDU7bv7YBtG/oB8KFWpBT14+0XoQ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\nR821IEqlUjBdEH0zOCoqKhAdHY2xY8di9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B+K/V0mDz+bzuuAniZjC6oNEdaQOBgCV+ZjVtbLSiqVWuFj3nl7tkSA0VAHVV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UAAAg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\nuBAMw6C2ttYoNUmlUtTV1bX6/KZNm7B58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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "# 4 Conclusion and Drawbacks of the Parzen-window technique\n", "[[back to top](#sections)]\n", "\n", "As we see in the two figures above (estimated vs. actual bivariate Gaussian probability distributions), we were able to estimate the Gaussian densities reasonably well.\n", "\n", "#### Computation and performance\n", "One of the biggest drawbacks of the Parzen-window technique is that we have to **keep our training dataset** around for estimating (computing) the probability densities. For example, if we design a Bayes' classifier and use the Parzen-window technique to estimate the class-conditional probability densities $p(\\pmb x_i \\; | \\; \\omega_j)$, the computational task requires the whole training dataset to make the estimate for every point - this is a disadvantage of non-parametric approaches in general. \n", "In contrast, parametric methods, e.g., the Maximum Likelihood Estimate (MLE) or Bayesian Estimation (BE) only require the training data to calculate the value of the parameters. Once, the parameters were obtained from the training dataset, it can be discarded and recomputation is not required for classifying data in the test dataset. However, in Bayesian Learning (BL), new samples can be incoporated to improve the estimated parameter values.\n", "\n", "#### Size of the training data set\n", "Since the Parzen-window technique estimates the probability densities based on the training dataset, it also relies on a reasonable size of training samples to make a \"good\" estimate. The more training samples we have in the the training dataset, roughly speaking, the more accurate the estimation becomes (Central limit theorem) since we reduce the likelihood of encountering a sparsity of points for local regions - assuming that our training samples are *i.i.d* (**i**ndependently drawn and **i**dentically **d**istributed). However, on the other hand, a larger number or training samples will also lead to a decrease of the computational performance as discussed in the section above.\n", "\n", "#### Choosing the appropriate window width\n", "Choosing an appropriate window width is a very challenging task, since we have no knowledge about the distribution of the training data (otherwise the non-parameteric approach would be obsolete), and therefore we have to evaluate different window width by analysing the performance of the derived classifier in a pattern classification task, using the assumption $h_n \\propto \\frac{1}{\\sqrt{n}}$ as a guideline.\n", "\n", "#### Choosing the kernel\n", "Most commonly, either a hypercube or Gaussian kernel is chosen for the Parzen-window function $\\phi$. However, it is impossible to tell which kernel would yield a better estimation of the probability densities beforehand, since we assume that we don't have any knowledge about the underlying distribution when we are using he Parzen-window technique. Similar to choosing an appropriate window width, we also have to evalulate the performance of the derived classifier to make a practical choice." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# 5 Replacing the hypercube with a Gaussian Kernel\n", "[[back to top](#sections)]\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Working through the examples above, we estimated the probability densities for a bivariate Gaussian distribution using a hypercube kernel, and our Parzen-window estimation was implemented by the following equation: \n", "$p_n(\\pmb x) = \\frac{1}{n} \\sum\\limits_{i=1}^{n} \\frac{1}{h^d} \\phi \\bigg[ \\frac{\\pmb x - \\pmb x_i}{h_n} \\bigg]$ \n", "\n", "Now, let us switch to a Gaussian kernel for the Parzen-window estimation, so that the equation becomes:\n", "\n", "$p_n(\\pmb x) = \\frac{1}{n} \\sum\\limits_{i=1}^{n} \\frac{1}{h^d} \\phi \\Bigg[ \\frac{1}{(\\sqrt {2 \\pi})^d h_{n}^{d}} exp \\; \\bigg[ -\\frac{1}{2} \\bigg(\\frac{\\pmb x - \\pmb x_i}{h_n} \\bigg)^2 \\bigg] \\Bigg]$ " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "where \n", "$h^d = V_n\\quad$ and $\\quad\\phi \\Bigg[ \\frac{1}{(\\sqrt {2 \\pi})^d h_{n}^{d}} exp \\; \\bigg[ -\\frac{1}{2} \\bigg(\\frac{\\pmb x - \\pmb x_i}{h_n} \\bigg)^2 \\bigg] \\Bigg] = k$\n", "\n", "And applying this to out unit-hypercube example above, for which 3 out of 10 samples fall inside the hypercube (region $R$), we can calculate the probability $p(\\pmb x)$ that $\\pmb x$ samples fall within region $R$ as follows:\n", "\n", "$p(\\pmb x) = \\frac{k/n}{h^d} = \\frac{3/10}{1^3} = \\frac{3}{10} = 0.3$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 5.1 Summarizing the implementation of the Parzen-window estimation with a hypercube kernel\n", "[[back to top](#sections)]\n", "\n", "Let us quickly summarize how we implemented the Parzen-window estimation for the hypercube." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def hypercube_kernel(h, x, x_i):\n", " \"\"\"\n", " Implementation of a hypercube kernel for Parzen-window estimation.\n", " \n", " Keyword arguments:\n", " h: window width\n", " x: point x for density estimation, 'd x 1'-dimensional numpy array\n", " x_i: point from training sample, 'd x 1'-dimensional numpy array\n", " \n", " Returns a 'd x 1'-dimensional numpy array as input for a window function.\n", " \n", " \"\"\"\n", " assert (x.shape == x_i.shape), 'vectors x and x_i must have the same dimensions'\n", " return (x - x_i) / (h)\n", "\n", "\n", " \n", "def parzen_window_func(x_vec, h=1):\n", " \"\"\"\n", " Implementation of the window function. Returns 1 if 'd x 1'-sample vector\n", " lies within inside the window, 0 otherwise.\n", " \n", " \"\"\"\n", " for row in x_vec:\n", " if np.abs(row) > (1/2):\n", " return 0\n", " return 1\n", "\n", "\n", "\n", "def parzen_estimation(x_samples, point_x, h, d, window_func, kernel_func):\n", " \"\"\"\n", " Implementation of a parzen-window estimation.\n", " \n", " Keyword arguments:\n", " x_samples: A 'n x d'-dimensional numpy array, where each sample\n", " is stored in a separate row. (= training sample)\n", " point_x: point x for density estimation, 'd x 1'-dimensional numpy array\n", " h: window width\n", " d: dimensions\n", " window_func: a Parzen window function (phi)\n", " kernel_function: A hypercube or Gaussian kernel functions\n", " \n", " Returns the density estimate p(x).\n", " \n", " \"\"\"\n", " k_n = 0\n", " for row in x_samples:\n", " x_i = kernel_func(h=h, x=point_x, x_i=row[:,np.newaxis])\n", " k_n += window_func(x_i, h=h)\n", " return (k_n / len(x_samples)) / (h**d)\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "Let's go back to the hypercube example where 3 points lie inside, 7 points lie outside the hypercube, and our density estimate for a unit-1 hypercube at the center is $p(\\pmb x) = 0.3$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from itertools import product, combinations\n", "fig = plt.figure(figsize=(7,7))\n", "ax = fig.gca(projection='3d')\n", "ax.set_aspect(\"equal\")\n", "\n", "# Plot Points\n", "\n", "# samples within the cube\n", "X_inside = np.array([[0,0,0],[0.2,0.2,0.2],[0.1, -0.1, -0.3]])\n", "\n", "X_outside = np.array([[-1.2,0.3,-0.3],[0.8,-0.82,-0.9],[1, 0.6, -0.7],\n", " [0.8,0.7,0.2],[0.7,-0.8,-0.45],[-0.3, 0.6, 0.9],\n", " [0.7,-0.6,-0.8]])\n", "\n", "for row in X_inside:\n", " ax.scatter(row[0], row[1], row[2], color=\"r\", s=50, marker='^')\n", "\n", "for row in X_outside: \n", " ax.scatter(row[0], row[1], row[2], color=\"k\", s=50)\n", "\n", "# Plot Cube\n", "h = [-0.5, 0.5]\n", "for s, e in combinations(np.array(list(product(h,h,h))), 2):\n", " if np.sum(np.abs(s-e)) == h[1]-h[0]:\n", " ax.plot3D(*zip(s,e), color=\"g\")\n", " \n", "ax.set_xlim(-1.5, 1.5)\n", "ax.set_ylim(-1.5, 1.5)\n", "ax.set_zlim(-1.5, 1.5)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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1D1/LxUKsFze9R60d9eFAL/5iR984M+fJOwEVFB3UdRuxWMw17hcCSQnmeR6B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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "We can now use the `parzen_estimation()` function with the hypercube kernel to calculate $p(\\pmb x)$.\n", "
" ] }, { "cell_type": "code", "collapsed": false, "input": [ "point_x = np.array([[0],[0],[0]])\n", "\n", "print('p(x) =', parzen_estimation(X_all, point_x, h=1, d=3, \n", " window_func=parzen_window_func,\n", " kernel_func=hypercube_kernel))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "p(x) = 0.3\n" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**And let us quickly confirm that it works on a bigger dataset for non-unit hypercubes that are not centered at the origin:** \n", "(Note that I just chose an arbitrary length for *h*, this is likely not the best choice for *h*.)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "# Generate 10000 random 2D-patterns\n", "mu_vec = np.array([0,0])\n", "cov_mat = np.array([[1,0],[0,1]])\n", "x_2Dgauss = np.random.multivariate_normal(mu_vec, cov_mat, 10000)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "import prettytable\n", "\n", "p1 = parzen_estimation(x_2Dgauss, np.array([[0],[0]]), h=0.3, d=2, \n", " window_func=parzen_window_func,\n", " kernel_func=hypercube_kernel)\n", "p2 = parzen_estimation(x_2Dgauss, np.array([[0.5],[0.5]]), h=0.3, d=2, \n", " window_func=parzen_window_func,\n", " kernel_func=hypercube_kernel)\n", "p3 = parzen_estimation(x_2Dgauss, np.array([[0.3],[0.2]]), h=0.3, d=2, \n", " window_func=parzen_window_func,\n", " kernel_func=hypercube_kernel)\n", "\n", "mu = np.array([[0],[0]])\n", "cov = np.eye(2) \n", "\n", "a1 = pdf_multivariate_gauss(np.array([[0],[0]]), mu, cov)\n", "a2 = pdf_multivariate_gauss(np.array([[0.5],[0.5]]), mu, cov)\n", "a3 = pdf_multivariate_gauss(np.array([[0.3],[0.2]]), mu, cov)\n", "\n", "results = prettytable.PrettyTable([\"\", \"p(x) predicted\", \"p(x) actual\"])\n", "results.add_row([\"p([0,0]^t\",p1, a1])\n", "results.add_row([\"p([0.5,0.5]^t\",p2, a2])\n", "results.add_row([\"p([0.3,0.2]^t\",p3, a3])\n", "\n", "print(results)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "+---------------+---------------------+---------------------+\n", "| | p(x) predicted | p(x) actual |\n", "+---------------+---------------------+---------------------+\n", "| p([0,0]^t | 0.1488888888888889 | 0.15915494309189535 |\n", "| p([0.5,0.5]^t | 0.11777777777777779 | 0.12394999430965298 |\n", "| p([0.3,0.2]^t | 0.1511111111111111 | 0.14913891880709737 |\n", "+---------------+---------------------+---------------------+\n" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 5.2 Using the Gaussian Kernel from `scipy.stats`\n", "[[back to top](#sections)]\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we already went through the Parzen-window technique step by step for the hypercube kernel, let us import the `gaussian_kde` class from the `scipy` package for a more convenient approach.\n", "\n", "The complete documentation can be found on [docs.scipy.org](http://docs.scipy.org/doc/scipy-0.13.0/reference/generated/scipy.stats.gaussian_kde.html).\n", "\n", "**The `gaussian_kde` class takes 2 parameters as input**\n", "\n", "- **dataset** : `array_like`\n", " Datapoints to estimate from. In case of univariate data this is a 1-D array, otherwise a 2-D array with shape (# of dims, # of data).\n", "\n", "- **bw_method** : `str, scalar or callable, optional`\n", " The method used to calculate the estimator bandwidth. This can be `'scott'`, `'silverman'`, a scalar constant or a callable. If a scalar, this will be used directly as kde.factor. If a callable, it should take a gaussian_kde instance as only parameter and return a scalar. If `'None'` (default), `'scott'` is used. See Notes for more details.\n", "\n", "Note initializiation of a `gaussian_kde` instance requires a numpy array in which the different samples are ordered by columns and where the rows reflect the dimensions of the dataset - this is why we have to pass our previously generated training data in its transposed form." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First have a quick look how the `gaussian_kde()` method works using a simple scalar as window width, like we did with the hypercube kernel before and estimate the density at the center." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Example evaluating the density at the center\n", "\n", "from scipy.stats import kde\n", "\n", "density = kde.gaussian_kde(x_2Dgauss.T, bw_method=0.3)\n", "print(density.evaluate(np.array([[0],[0]])))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 0.14652936]\n" ] } ], "prompt_number": 37 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", " \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 5.3 Comparing Gaussian and hypercube kernel for a arbitraty window width\n", "[[back to top](#sections)]\n", "\n", "Let us now compare the Gaussian kernel against the hypercube for the same arbitrarily chosen window width:\n", "
" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import prettytable\n", " \n", "gde = kde.gaussian_kde(x_2Dgauss.T, bw_method=0.3)\n", " \n", "results = prettytable.PrettyTable([\"\", \"p(x) hypercube kernel\", \"p(x) Gaussian kernel\", \"p(x) actual\"])\n", "results.add_row([\"p([0,0]^t\",p1, gde.evaluate(np.array([[0],[0]]))[0], a1])\n", "results.add_row([\"p([0.5,0.5]^t\",p2, gde.evaluate(np.array([[0.5],[0.5]]))[0], a2])\n", "results.add_row([\"p([0.3,0.2]^t\",p3, gde.evaluate(np.array([[0.3],[0.2]]))[0], a3])\n", " \n", "print(results)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "+---------------+-----------------------+----------------------+---------------------+\n", "| | p(x) hypercube kernel | p(x) Gaussian kernel | p(x) actual |\n", "+---------------+-----------------------+----------------------+---------------------+\n", "| p([0,0]^t | 0.1488888888888889 | 0.146529357818 | 0.15915494309189535 |\n", "| p([0.5,0.5]^t | 0.11777777777777779 | 0.11282184148 | 0.12394999430965298 |\n", "| p([0.3,0.2]^t | 0.1511111111111111 | 0.137350626774 | 0.14913891880709737 |\n", "+---------------+-----------------------+----------------------+---------------------+\n" ] } ], "prompt_number": 76 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 5.4 Comparing the different bandwith estimation calculations for the Gaussian kernel\n", "[[back to top](#sections)]\n", "\n", "The `gaussian_kde()` class comes with 2 different \"bandwith estimation calculations\", let us explore if it makes a difference to choose one over the other on our dataset:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.stats import kde\n", "import prettytable\n", "\n", "mu = np.array([[0],[0]])\n", "cov = np.eye(2) \n", "\n", "scott = kde.gaussian_kde(x_2Dgauss.T, bw_method='scott')\n", "silverman = kde.gaussian_kde(x_2Dgauss.T, bw_method='silverman')\n", "scalar = kde.gaussian_kde(x_2Dgauss.T, bw_method=0.3)\n", "actual = pdf_multivariate_gauss(np.array([[0],[0]]), mu, cov)\n", "\n", "results = prettytable.PrettyTable([\"\", \"p([0,0]^t gaussian kernel\"])\n", "results.add_row([\"bw_method scalar 0.3:\", scalar.evaluate(np.array([[0],[0]]))[0]])\n", "results.add_row([\"bw_method scott:\", scott.evaluate(np.array([[0],[0]]))[0]])\n", "results.add_row([\"bw_method silverman:\", silverman.evaluate(np.array([[0],[0]]))[0]])\n", "results.add_row([\"actual density:\", actual])\n", " \n", "print(results)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "+-----------------------+---------------------------+\n", "| | p([0,0]^t gaussian kernel |\n", "+-----------------------+---------------------------+\n", "| bw_method scalar 0.3: | 0.146529357818 |\n", "| bw_method scott: | 0.153502928635 |\n", "| bw_method silverman: | 0.153502928635 |\n", "| actual density: | 0.15915494309189535 |\n", "+-----------------------+---------------------------+\n" ] } ], "prompt_number": 78 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# 6 Plotting the estimates from the different Kernels\n", "[[back to top](#sections)]\n", "\n", "And eventually, let us plot the results for the different Gaussian kernel bandwidth estimation methods for the estimated distribution." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from matplotlib.mlab import bivariate_normal\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "\n", "X = np.linspace(-5, 5, 100)\n", "Y = np.linspace(-5, 5, 100)\n", "X,Y = np.meshgrid(X,Y)\n", "\n", "\n", "##########################################\n", "### Hypercube kernel density estimates ###\n", "##########################################\n", "\n", "fig = plt.figure(figsize=(10, 7))\n", "ax = fig.gca(projection='3d')\n", "\n", "Z = []\n", "for i,j in zip(X.ravel(),Y.ravel()):\n", " Z.append(parzen_estimation(x_2Dgauss, np.array([[i],[j]]), h=0.3, d=2, \n", " window_func=parzen_window_func,\n", " kernel_func=hypercube_kernel))\n", "\n", "Z = np.asarray(Z).reshape(100,100) \n", "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "\n", "ax.set_zlim(0, 0.2)\n", "\n", "ax.zaxis.set_major_locator(plt.LinearLocator(10))\n", "ax.zaxis.set_major_formatter(plt.FormatStrFormatter('%.02f'))\n", "\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_zlabel('p(x)')\n", "\n", "plt.title('Hypercube kernel with window width h=0.3')\n", "\n", "fig.colorbar(surf, shrink=0.5, aspect=7, cmap=plt.cm.coolwarm)\n", "\n", "plt.show()\n", "\n", "#########################################\n", "### Gaussian kernel density estimates ###\n", "#########################################\n", "\n", "for bwmethod,t in zip([scalar, scott, silverman], ['scalar h=0.3', 'scott', 'silverman']):\n", " fig = plt.figure(figsize=(10, 7))\n", " ax = fig.gca(projection='3d')\n", " Z = bwmethod(np.array([X.ravel(),Y.ravel()]))\n", " Z = Z.reshape(100,100)\n", " surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "\n", " ax.set_zlim(0, 0.2)\n", " ax.zaxis.set_major_locator(plt.LinearLocator(10))\n", " ax.zaxis.set_major_formatter(plt.FormatStrFormatter('%.02f'))\n", " ax.set_xlabel('X')\n", " ax.set_ylabel('Y')\n", " ax.set_zlabel('p(x)')\n", " \n", " plt.title('Gaussian kernel, bw_method %s' %t)\n", " fig.colorbar(surf, shrink=0.5, aspect=7, cmap=plt.cm.coolwarm)\n", " plt.show()\n", "\n", "\n", "\n", "###########################################\n", "### Actual bivariate Gaussian densities ###\n", "###########################################\n", "\n", "\n", "fig = plt.figure(figsize=(10, 7))\n", "ax = fig.gca(projection='3d')\n", "Z = bivariate_normal(X, Y)\n", "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "\n", "ax.set_zlim(0, 0.2)\n", "\n", "ax.zaxis.set_major_locator(plt.LinearLocator(10))\n", "ax.zaxis.set_major_formatter(plt.FormatStrFormatter('%.02f'))\n", "fig.colorbar(surf, shrink=0.5, aspect=7, cmap=plt.cm.coolwarm)\n", "\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_zlabel('p(x)')\n", "plt.title('Actual bivariate Gaussian densities')\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "WARNING: pylab import has clobbered these variables: ['f', 'title']\n", "`%matplotlib` prevents importing * from pylab and numpy\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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yqK6uRjQaddX0zfM8EokEYrFYwfN3C7pAhsNhxGIxxONxuUuuKIrgeR7JZBLp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\n2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AO/+c1vYjuWfD6PX//6114nWlEUMTIy0mCt/sN0lsxONfo+0sFxnOdroes6jBgtl8vl\nMhzHGaRTOgTbwj4Iy7LAO9XIRdjnluV6gSTS1RSCIFVLaYNkg2AaFqRk+GxblTUvGqGUVaSzbvRB\nV3XoKpAZSnvLKiXNFxkxTVcTYWimR2zkolo3LQO4UY6wYwyuZxoWUHmf1ZyU87LvuKLg2cSXFKRz\n6eo2URWCAsDkwcmadAvHc9AVraanTPC7cyodMHmeqwh2WcfU2RN6jruHiuM4KJfL4HkemUzGe3b8\n5S9/wbXXXos77rgD733vewG4VudPP/00TjrppNiO5/XXX8e8efNwzTXX4IUXXsCqVauwfv16ZDLR\n+qR+RD+lV/o+0gHAG9i70ZgtDIZheL1SmjX7SqfTs6Z3SrcRNuiz7qO27cAyLd/ABVQHT/+2qt93\nOV9COV/yfc4SENMwoZSUGjOssHRMWA+XUj66B0yYwVhxshqGLhwtoZSXUS4qle3r3sAfJB9qSJ8X\n9/gt6KqBwtGi955c9HtisMZqqqx55xEUzaqy6ntQlvPlyj781ziVSSORTnqmbWyvGmq1TUSQ3gMA\ngbqc2o5bFl3pr1Ovz06vI27CQSX+giAgnU57z46dO3fi2muvxT333OMRDgBIpVI4//zzY21Vb5om\nnn/+eXzqU5/C888/j2w2i29961ux7W+mYhDp6FN0m3Sw1Sk8z3ttoQfVKZ2BFYYS2SCPDsr90/9p\nEBVC0lOuF4SDRDoJpVAGLwrIDGW9gZP1kEhlUqGkpR50tTr4Bwd3VjNhaK6YNAylY2Xv/AhEPOqJ\nOCnlE6VBYSEXlYZRFQBelCMM5MUhJRLQZBXiSA5KQXYFvqYFKVnt6EvnYtvR17MmMhKwu+dFwUc0\ngZAOtT2UjombcIR5cADA1q1bcdttt+GRRx6psbaeCoyOjmJ0dBRnn+2e/2WXXTYgHSEIi9rOVgxI\nB/xCz26RDqpOoXQKVaqQXmOQTmmMZkSiXr7fcsN2Po8OXvBmzqTrEJO1lR+6Ul+H4dgOVNlfqUGk\nwTQscBX/DiEQDWBbxFuWXfd7pYiCapi+ypFmUc7LyI40H7IuHC36NC5s9IYEo0DVf0MpKeB5HpZp\nIZ1Lw9QMt9dNIIVl6Dp4jq+JGLHwHEl5zh/5MC3wovudWYbh6W1YEGEJEg7Hsb4dVSYAACAASURB\nVP1anh5KycRNOKI8OO6//3489NBD2Lx5M+bOnRvrMURh4cKFWLx4MV555RW8+c1vxtatW3HGGWdM\ny7H0MqJSurMRA9LBoFsCUqpOSSQSvjBnUCxKJbqapg2qU5oAzVzDyAgvCK5XR+Vz0gcA1VkzDXA0\nIAUHtOAAyuoVokCdVAF34GYjC6ZhQhD8JEeURBi64S3PVqUYmukrnSVEVdNUIzKVLq+VqEgql2KW\nqR18U5mUlx6pF26lSA35cQCup4lSUrxjMnQduqp51y64PSJ0jmPXEAWO48HztptmMS3YlvvyIiEh\nxMGxK5EuWEzli1N3nelE3IRD1/VQD47vfve7ePHFF/HYY495Edbpwve//31cddVV0HUdp556qmeh\nPUAV9iDS0Z/oNL1Sz+xLFEVomgZN0yBJkmfaA3RmsQ7MXsIRFR6P6kBKxAOWBY7jYQPezJmIBxvV\nCJIMXuRRzheRzFRsxx3bTRXUEAl3PaWkelEOQtA0TFN1JJnIQbAkl42GAOHajkaQi4pvsLdC0kBh\nLqIAfNEE+pdNC7GwbRs8z8NxbK+vSqMcsZBwHzG6oiGqRyLPc7ACVSuNUiNBItbMOlONuAkHPU+y\n2az3m7QsC7fccgsSiQTuu+++lhpTxoUVK1bg2Wdn5zOqW+gFrcVUYUA6UI1wdEI62D4tIyMjlYdz\ntTolkUggkUjAtm1vdgK4A59hGHUtjKMwW8lGq+BFAbZp+Wa8BLdxHAfTdHzLsxEMMSTCRBoFnuNh\nagYESYRRSSmwCOo/AJd4kOuplJSgqboXPg0O+mFpGcBNt7QbcjU0E1KSBnvdV/JqaIZHQIKuoUQk\ngmikZQl+TtswNN0jHaLk2tCzEQ8yChMqzfqsisajEXlwPT3qLjKtmIoKFVVVvXJ6mrAoioIbbrgB\na9aswT/90z/FUvo/QDzoNcIcJwakg0G7pMMwDJRKJSSTSS+dEmX2Rd0jKRwa1vWVtTCOwoBwVEEd\naQk1+f7ALCKYMjE03dcATpMVt0oiwrJbVzUkUsnIMreoduREOOSCjMxwVX/hplnC9RWNQL4gbHiW\n53gYmtlUegjwRzssy4IAt0lbIlUxB6ucL0GUJLdBWwRJAeBVDrG25hzPATYfmmph0yocL/RcmqRZ\nTAXhUBQFtm0jm816z4hjx45h7dq1+OQnP4mPf/zjA8IxwxAUQc9mDEpmQ9As8aAHQKlUQjab9WrP\n65l9sT1dyMI4nU5jaGjIC5MahoFisYhSqeTNaNhjGhCOaISFKVnTKTEhetoBdnlD06GFlLkC7oBu\n6LoX/QDcgZi2Y1sWNDl8XYosWJYFVVahRizHQi5Gl9ZqsgZN1ir+H7pbCRWY9gf/1pXqcbOpoKhI\nClmXRx5fIVwkSmLdKDLmVa9wfKRan8r62nGanW787O7TIMsydF2PJJ6dgDw4HMfxEY69e/fi8ssv\nxy233IJPfOITA8IxA0Hl41PxCsOWLVtw+umnY+nSpbjttttCl1m3bh2WLl2KFStWYOfOnS2ty2IQ\n6YA/vUIRiUY3bqN0Slh1iiRJdb03BEGAIAhIJpNepMQwDK+UVhRFfOiaP3bxzGc+goMTdZ0NQ/B9\nIh7BWXc9kF4iTNxJzp+arCKZCRfv0cBbG+1QkWLW0WTN9bWwLGRHcp7OwldpFShBJT2IIAnQKuLO\nRtEOXdG9SEfwnIIRDt+5VipNdEVzDdkixK4ElogEQ8lU1jxToxsA8IsHV3t9T+ie5XneF7nshAxQ\nNZwoir5nyEsvvYSbbroJGzduxFlnndWt0xlgijGd6RXLsnDzzTdj69atWLRoEc4++2yMjY1h2bJl\n3jLj4+N49dVXsWvXLuzYsQM33XQTtm/f3tS6QQxIRxtoJZ3SbnVKsJvkILoRDraVvfu346tqILCe\nHgTPiCqQIeBFAZZugg8pr2VhaAYc23Yt2QUBhqbD0Pw9TOoN3GzUAai2gadjJ1JUzpd86R+2ckRK\nJGCbdmhXVwJFV9K5dOTxEPEIhnlLxwo+My7btn1RItbUi4iHVlbgODYSqZSXZiEflTCwwteZ2MKe\nUiphkwZqvCbLsq/7ayvtFlgPjkQi4a33m9/8Bl/+8pfx4IMP4tRTT43t/AaIH9OZXnnmmWewZMkS\nnHzyyQCAK664Ao8++qiPODz22GO4+uqrAQBr1qzB5OQk9u/fj9dff73hukEMSEcA9XQdbHUKpUgG\nreinH2wpbVBkSIMYx/GVG1v0BkKySWdvd5GvtlcPaj1YEOGIAhvtiBroyQODRb2oS9ggRcQjuG++\n0jiN1VwoJcU7HsuyvPWIqFH6iKpSiCiwEQilUHVJDbWhZ9oI6KrqO58a4zaGbIS6zM6ABm9RGo56\nLejpuRAkIWGI8uB49NFHcdddd+Hxxx/HvHnz4jm5AaYM01m9snfvXp8r7ejoKHbs2NFwmb1792Lf\nvn0N1w1iQDrgf5hHkY440inNYEA4mkfYAEXv0Se6ormOlmzzNyZaQiW1RDbYCgz6PMyGmwZ4X6fW\nkuwtS5oPlnwYuh7i61EtfZQSCd8MyHEcqLISmi4J6jNsywIvCN5+hQaC0jAdh3utXJJAn1Nkg/ei\nSXZD/UUwbWMF+hux31uvkwwWrYhGG7WgB1AjIqc0DRsldRwHd911F5588kn8/Oc/95pGDjCz8ZvH\n3tt4oS4hl8v5/m52fOqWceaAdAQQRjqmIp0SxIBsdA/tiBLZKIeuaL7mcEGQvoFF1OCplmSkclUt\nRzlfQiKVhKHrPsIBwPeeUpIjTcIMXfciOXTMju0AgisqpSocyzB922CjJGxaihrikeeJd56Bvims\njsM2LUAUYLLpFI6vOIvy1f1WPFSCxGMmoRsVKtSCnrx8gnoQep6wkxbbtvGVr3wFR48exc9+9rOO\nni+twLIsrF69GqOjo3j88cenZJ/9hDj6fbWCRYsWYWJiwvt7YmKixjI/uMyePXswOjoKwzAarhvE\nzJOIxwyWdFCL6FKphFwuV7c6hZZlq1PaxYBwdBduysXfyt4yTE/DYFcG2XrQFc1X/mkZhi8KYemm\nuwwzmJJ/BYVOo/ZBUYRGDemA8H4rtulW11iW5fWTAeCrqGFTGayokxxFgwg2y3OPxfa9SABqGYZr\nGGZUfUxs0wolFnTNZ2J1ChBPSSzHcZ4WJJPJeM+ORCIBXdexYsUKXHzxxRgbG0M+n8fGjRunjHAA\nwPr167F8+fJBVcwsxerVq7Fr1y7s3r0buq5j06ZNGBsb8y0zNjaGe++9FwCwfft2zJkzBwsWLGhq\n3SBm5p0fI4hA2LaNYrEI0zQxMjLi6Tei0inFYhE8z/tK2drBgHC0DkoBNIJj276BPyjeCpICTVZq\nyj8ty9+91masxCltYxmGRyDC+rqopapglMzLaBtB4tGJPXIzHh1ANd3hkZWyq/1gO87alTLWZq41\nG02p6mxqZ3MzjXhMpQdHLpfzSul/8YtfYN68eeB5Hk899RQWLlyIj370o3juuediPR7AndGOj4/j\n+uuvn/YZ+QDxQBRFbNiwARdddBGWL1+Oj370o1i2bBk2btyIjRs3AgAuueQSnHLKKViyZAluvPFG\n/PCHP6y7bj1wzuCXBABeXrVcdoVyuq4jlUp54c240ylBDMhHcwgbuOrpAsJKbKvrkR24DUGSakgJ\nL1Tbqju2DSHQ6ZQtHQ02Mktm09WeLxUiQeuSo6qvSoQZ8BPpJMxKakSURGhlFY5je2ka27RryEkw\nVWNquo9EJLPVjrGmpntdeDme80iHXUmF0DHSebPXMrQ/imOH2pLTtZ9Jug3CVBCOcrkMjuOQyWS8\nCc2BAwewdu1afP7zn8eHP/xhAG4I+7/+67/w9re/HcuXL4/1uC6//HLceuutKBQKuOOOOwbplQE6\nxkDTUQEZeJmm6c006lWnUDqlG9UpYQg+5AYkJBzBypUgggNdcNCMUo2TFiHsfT6k0iBYOhokHzSQ\nS8lEbeku41PhODZTyksiVMXrjkuEAwDkQhmpTJU8WLrpiV5J2MpzfGi0RCsrSGbTngbDMgwIkuQd\nZxDBa+uSilrCQc6iLpnzfyczkWwA8ROOKA+OV199Fddffz3uvPNOvOtd7/KWX7x4MT75yU/GekwA\nsHnzZsyfPx8rV67Ek08+Gfv+BugPDCIdFZCzKPVJyWQyU1Kd0g4GBKQWYbPoIGmIGvSiutZW9R/u\ngByMULjrcjXbIMJh6rUaDfL0YMGWtoaRDsBtnEaaEjqOqOW8/1fepxSPWSFSlHaxK6kiEp9aFTv5\nYDqE4zkv6hHmgULHVPPeDCUZLOImHOTBkUgkkEwmvWfJc889hy984Qu49957G4ar48Ktt96Kn/zk\nJxBFEaqqolAo4NJLL/Vy+wMM0A4GpANu1OLQoUOekhwA0un0lKZTOkG/k5B62gAq6WxmAGTTG0Qs\n2EE22DMkmJqh9UkjEea5wa5DjeaCZahsaoZNkzi2DZEhP8HlPKt3xluEGuEF90+pI1afEjw3L90U\n0islClGplZmIuAlHmAcHAPzyl7/E7bffjoceeggnnnhirMfQLLZt2zZIrwzQFQzSK3BTKyMjIwDc\niAdVp4SlU6jRUi+0jCawD8d+IyCtRDMaaT3CrMDZgZf9FwCcSnaBBuSgLoMGa7ZslEP1c+qySudg\n6ibERO0taRqGd2ymYUBg9iFUTMCiwOoyHMeGY/nLXaVkwnVRDWmSx/GcV/XiVCzUwpxd2fOlZYKp\nlZmEuMkGgEgPjvvuuw+PPPIIfv7zn2POnDmxH0crGFSvDNANDCIdFRiG25RL13UvvyqKoqfrkGW5\nJufa6zBNE5dctbPxgrMYrZASL1US0gHVXSb6e/c5bzLExGZSFkRI2ChKlKaElm1Uysuma4KRDlPT\nvWhIWBSF3gslHY5dqcQJdIlljt9HwBjCNpN7qEwF4dA0DZqmeZ2mAVfXcccdd+CVV17BPffcg2Qy\n2hdmgAFmMgakowJN03zdXMkt0KjMRkVRRCKR6Lhx01QgKg3Ub1EQoHnS0co2/J+xbrZ+4sEOvmGp\nG99xBfQitmVBTCaqJl3wD/phZakAvCgI6UmC1TZhpAPwp1mCjeRYQhFFOHznMohwhMJxHGiaBsMw\nfKX1pmniH//xH5HL5XD77bf3VBR1gAG6jQHpgHvTn3feeTj99NNx0UUX4dxzz4VhGLj11lvxhS98\nAYsXL/YqWyzL8kVBul210imo1t+yrIaeIf1IQjpBUKzqc9qswLEd8Iy+giUePrEpswy7Ln0W1QCq\nXrSFqmoEUQgVsQbX5XgePM/B0HTvOJshWEFSMpMjG4Sp9ODIZDLefakoCv7hH/4B73rXu/D5z3++\n5yc0AwzQKQakowLLsvDss89ifHwcmzdvxp49e/COd7wD//Iv/4K3vOUtvkZuFAUh3Ue32ld34xyo\nmyXZtTeLAQFpDV4juRCfDwCeSVhw+fBt+QfzqDLgMJITBC8IoaQjaj1Ps9FCZQ+LRuvNhKjH5p+s\n8PqdxAFKzwLweXAcPXoUa9euxfXXX4+PfexjA8IxQF9gQDoYOI6Df/u3f8OXv/xlfO1rX0Mmk8H4\n+Dhee+01nHXWWbjwwgvx3ve+12uyRCW1hmFMexRE13WoqlqjhG8XAxLSGI0G5CDxiFq/kddI6LZD\nms7RPt1t1rapJ1DzN1YkGxataNV4rdP1pgOP3/s2bwLB83zXJxDkwRGcCExMTOCTn/wkvvrVr+KC\nCy7oeD8DDDBTMCAdDF577TVcddVV+MlPfoKlS5d671uWhWeeeQbj4+PYtm0b0uk0LrjgAlx44YVY\nunSpryHTVEdBHMeBqqowTROZTCa2fPCAhPQeyMmU/s9GSuoRIl+H3YA2o5vkoNdb07MpFTIBpHuX\nnUBQFKTV+zfKg+PFF1/Epz/9adx9990488wzu3pOAwzQ6xiQjgDIl6Pe54cOHcITTzyBJ554An/5\ny1+watUqLwpCTeGmIgpi2zZkWa6xTo4bAwLSGN0QsMZxHNHLcbNCm9EMmtFvOI7jm0A4jlNDQuoh\nyoPjqaeewle+8hXcf//9eNOb3tTxuQwwwEzDgHR0CNM0sWPHDjzxxBN46qmnkMlkvCjIkiVLYouC\n0EMtmUwikUhMaz54QEKq6GZqoZu6iGbJRy9HJrqBdgWjbOt5y7Lq3r9RHhyPPPIIfvzjH+Ohhx7C\nCSec0JXzGWCAmYYB6egiHMfBwYMHvSjI7t27vSjIe97znq5EQajsTtd1X51/r2BAQLqDuHURlPqY\nSfqLTtGtCpWwVIwgCJ6nj6ZpyGaz3r3pOA7+9V//Fb/97W9x3333ec+BAQboRwxIR4wwTRPbt2/3\noiDZbBYXXnghLrzwQpx66qktR0Fs24aiKHAcx1d218sYkJDex0yqNGkXcZbEOo4DwzCgaZrXp+mV\nV17BH/7wB5x//vm4++67US6X8YMf/GBKJgkTExNYu3YtDh48CI7jcMMNN2DdunWx73eAAZrBgHRM\nERzHwf79+7FlyxY88cQT+Otf/4rVq1d7UZB0Ou0tFxYFEQQBmqYhkUjMKFdUlih95LqXp/twBuhD\nTLUHBwA888wz+P/bu9eoqM6rD+D/AbkoKCpikIsImhC8EFAQ0SoIziBGl7aN9tXVRSqgxkQjUSka\nNV20FYmJy7BITVzGosYLirYx6gx3Y1QEBUQFRYyXgigRjRoZFGbmnPeDa04YYLg5c84Z2L9PAYNn\nYybM3/08z36SkpJw6tQpWFhYYMGCBZDJZAgKCoKtra1R66mpqUFNTQ18fHxQV1eHcePG4bvvvhPs\n4jhCmqLQIRC1Wo1z585xXZB+/fohNDQUMpkMHh4eXKjQaDR48uQJ9zckYxzrMxbt3BB94+OpC9K6\npkse3bn7wAc+AkdrMzh+/fVX/OUvf8Ef/vAH+Pr6Ijs7G5mZmbhx4wYqKyt57VLOmTMHy5cvR2ho\nKG/PJEQfCh0iwLIs7t+/z3VBKisr4e/vj6CgIBw+fBj19fXYv38/zMzM9B7rE9t01M7ODaEA8pJY\nTr10B8YOHNrTY2ZmZjozOGpqahAREYG4uDjMmjVL52tUKhWvt1PfuXMHQUFBKCsrM3qHhZCOoNAh\nQiqVCmlpaYiJiYGzszOcnZ0REhICmUwGd3d3QeeCtMdQc0MohJCu4uPSNm0Xz8LCQmcGR0VFBRYv\nXoykpCQEBgYavY621NXVITg4GOvXr8ecOXMErYUQLQodInTs2DFERUUhPj4eS5Ys0emC3L17F35+\nfggLC8OkSZNgbW0NoO3hRnx1QZrODendu7fBnkkBhHQUH4Gj6XH1prfBnj9/Hn/961/x7bffwtPT\n0+h1tEWlUmHmzJkIDw9HTEyMoLUQ0hSFDhHKzMyEnZ0dAgICWvyaSqVCXl4eFAoFTp8+jf79+2Pa\ntGmQyWQYNmyYYF0Q7Q/i5tMXjYFCCGkNH4GjtRkcACCXy/HFF18gLS0NQ4YMMXodbWFZFu+++y7s\n7e2xdetWQWshpDkKHSaMZVlUV1dzXZDq6mr4+/sjLCwMEydO5K0Lot2/0fwHMR8ogBCAn8ChfZ03\nnY/Dsiz27NmD77//HgcPHkS/fv2MXkd7zpw5gylTpsDb25sL/5s2bcL06dMFrowQCh3dikqlwtmz\nZyGXy3H27FkMGDAAUqkUMpkMQ4cONXgXhK97XzqDQkjPw8cJFe1APhsbG+51zjAMPv30U9y5cwc7\nd+40yEWLhHR3FDq6KW0XRDsd9d69ewgICIBMJsPEiRO5teiudkGEuvelsyiEdG98BA5tsLaxseH+\nf1Cr1Vi5ciUGDhyIxMREUZ0cI0TMKHT0EI2NjcjLy8OJEydw9uxZ2Nvbc10QV1fXTnVB+Ny/YUgU\nQLoXoWZw1NfXIzo6GsHBwVixYoXJvP4JEQMKHT0Qy7KoqqqCQqFAeno67t+/jwkTJkAmkyEwMLDN\nLoiZmRkYhoG1tbXOzn2x076BNB0hTyHENB355k2jHw3XN4Pj0aNHiIiIwHvvvYd58+ZR4CCkkyh0\nAEhOTsa2bdtgbm6Ot99+G59++qnQJfGqsbERZ86cgVwuR15eHhwcHLgTMS4uLpBIJKivr0dRURHe\neustmJubt3vTppi0NxkVoC6IqchI9WtxTYD2sjXtlfOv+jpkGAZKpbLFDI47d+5g4cKFSExMxNSp\nUw3x7RDS4/T40HHy5EkkJCRALpfDwsICtbW1cHBwELoswbAsi8rKSigUCmRkZODnn3/GyJEjUVBQ\ngNGjR+Obb76BRCIRxVyQjtAecWw+U6E9FELEp7XlFJZldZYDWZbVCcKdfR1qNBoolcoWr5fLly9j\n+fLl2LlzJ7y9vV/5eyGkp+rxoWPevHl47733EBISInQpopSRkYEFCxYgMDAQjx49wmuvvcZ1QZyd\nnUU7HZVlWTQ2NqKhoUHniGNXUAARXkf3bzTtgqjVapiZmXFdEHNz8zZfh/pmcPzwww/45z//if37\n92PYsGGv+q0Q0qP1+NDh6+uL2bNnIz09HdbW1vj888/h5+cndFmikJqaipiYGOzbtw+hoaFcF0Qu\nlyMjIwMPHjzg9oJMmDCBOzIodBdEe+unRqPROXFgKBRC+NXVDaNtvQ6bL8Xom8GRlpaGb7/9Fmlp\naRg4cKDBvidCeqoeETqkUilqampafH7jxo1Yt24dQkJCkJSUhAsXLuBPf/oTbt26JUCV4lNdXQ21\nWg03N7dWf72hoQGnT5+GXC5Hfn4+Bg8eDJlMBqlUCicnJ0G6IPo2ABoLBRDjMuQJleavQwDo1asX\nt0Rja2vLzeBgWRbJycm4cOEC9u7di969exusDn3S09MRExMDjUaD6OhoxMXFGf2ZhPCtR4SOtoSH\nh2PNmjUICgoCAIwYMQIFBQWwt7cXuDLTwrIs/ve//3FdkIcPH+p0QbTtamN2QcRwlJdCiOEY80is\n9nX44sULaDQaAMD169eRkZGB0NBQHD16FGq1GsnJya+0NNdRGo0Gnp6eyM7OhrOzM/z9/XHgwAF4\neXkZ/dmE8KnHh47t27fj3r17iI+PR0VFBaZNm4bKykqhyzJ5L1680OmCODo6cl2QIUOGGLwLIuQo\ndn0ogHQNHyPNmx6htrGxAfAydOzYsQMZGRmoqanBzJkzERYWhrCwMLi4uBi1nnPnziE+Ph7p6ekA\ngMTERADAmjVrjPpcQvhm/AgvcpGRkYiMjMSYMWNgaWmJPXv2CF1St2BtbQ2pVAqpVAqWZXHnzh3I\n5XKsXLkSjx49wsSJEyGVShEQEABLS0tYWlrqdEEaGhq4Y65tdUGaT4wUwyh2reZvnhRC2sdH4Gi6\nBNd06NeQIUNw8+ZNbNiwAVKpFFlZWcjIyMDHH3+MiooK2NnZGa2m6upquLq6ch+7uLigoKDAaM8j\nRCg9vtNB+Pf8+XOuC1JQUIAhQ4ZAJpNBJpPhtdde63AXBAA3MbJ3796iOabbERRAWuIrcCiVyhYz\nW+7fv4+IiAh8/PHHePvtt3W+hmVZoy/VHTlyBOnp6dixYwcAYO/evSgoKEBycrJRn0sI33p8p0NM\ntmzZgtjYWDx8+LBb75Tv3bs3FzJYlsXt27chl8uxYsUK/PLLL5g4cSJkMhnGjx/fZhcEAMzNzU0u\ncGg0Ghze4amz96SnhxA+Aoe+GRzl5eVYsmQJvvzySwQEBLT4Oj72Bjk7O6Oqqor7uKqqyuhLOoQI\ngTodIlFVVYVFixbh+vXrKCoq6tahoy3Pnz/Hjz/+yHVBXFxcuLkg2i7IiRMn4OnpCScnJwAQxVyQ\njtLOgrC2tm7zVtKeFEL4CBzaTcbN9/zk5+djzZo12Lt3L9544w2j19FWfZ6ensjJyYGTkxPGjx9P\nG0lJt0ShQyTmzp2LDRs2YPbs2T06dDTFsixu3brFnYh5/Pgx7O3tceHCBaSmpsLf35/798Q+HfVV\nhpV15wDCR+DQN4PjxIkT+PLLL3Ho0CE4OjoavY72KBQK7shsVFQU1q5dK3RJhBgchQ4ROHr0KH74\n4Qds3boV7u7uFDpaoVQq8e677+LKlSuQSqUoLCyEi4sLd1Pu4MGDRT0dtbXr0buqu4QQPm6J1Qa9\nppuMWZZFSkoK0tPTceDAAfTt29eodRBCfkN7OnjS1oCyTZs2ITMzk/sc5UBdLMsiLCwMHh4euHTp\nEqytrcGyLG7evAm5XI5ly5bh6dOnmDRpEmQyGfz9/V/pRIwhaU9KSCQS2NraGiTwNH2zNsUAwteR\nWG3Qs7W15f47MwyDhIQEVFdX4z//+U+bS1yEEMOjTofASktLERoaij59+gAA7t69C2dnZ5w/fx6D\nBw8WuDrxKC8vh6enp9437fr6epw6dQonTpxAYWEhXF1duSO7HemCWFhYtHs3R2d15HZbQxN7CBFi\nBof2z12lUiEmJgaOjo7YuHGjKJbdCOlpKHSIDC2vvDqWZXHjxg3I5XJkZmbi2bNnXBfEz89PZ13f\n2NNR29swakxiCyB8BQ6lUtliDL5SqURkZCTCwsLwwQcfiHajMSHdHYUOkfHw8EBhYSGFDgNSKpVc\nF6SoqAhDhw7luiAODg4G74I0NDQY5HZbQxMyhHy/e0yHbnp9FfpmcNTW1iIiIgLLli3DO++8Q4GD\nEAFR6CA9CsuyqKio4LogSqUSkyZNQlhYGMaNG6ez2bCzXZCm+wj69OkjqumozfEZQOT7fLnr5lmW\nbXHTqyHom8Fx+/ZtREZGYvPmzdz9St0Ny7KYMmUK1q1bh+nTpwMA0tLS8O9//xsKhULg6gjRRaGD\n9GhKpRInT56EXC5HUVERhg0bBplMhmnTpmHQoEEd7oIAv01HbTpa2xSwLIuw/ys0yu/dfElF++eo\nDSFmZmawsLB4pS6IvqWskpISrFixAikpKRg9evQrfy9iVlZWhrlz5+LixYtQqVQYO3YsMjIy4O7u\nLnRphOig0EF0xMbG4vjx47C0tMTw4cORkpJi1DsnxIRlWVy/fh1yuRxZQHD8vwAADTJJREFUWVlQ\nKpX43e9+h7CwMIwdO7bNLgjw23RUMXc4mmNZFs+fP4dGo+GO8xqqC9LeHg5D7KlpbQYHAOTm5iIh\nIQEHDx7UudOkO4uLi4ONjQ3q6upgZ2eHdevWCV0SIS1Q6CA6srKyEBoaCjMzM+6GS+2Nlz1NXV0d\ncnNzoVAoUFxcDHd3d64LYm9vD4lEgjNnzmDQoEEYOnQoABj9RIwhaTddSiSSNrsznQ0hXd0w2tn5\nKtq9M81ncKSmpiI1NRWHDh3CgAEDulSLKaqvr4evry+sra1RWFgomtuWCWmKQgfR67///S+OHDmC\nvXv3Cl2K4BiG0emC1NfXw83NDQqFArt27UJISAgA05iOCujfdNme9gKIoU6osCwLhmG4ZZimf47m\n5uZobGzU6c5ovyYpKQklJSXYs2cPrK2tDVJLR4mhS/i3v/0Nffv2xerVq3l9LiEdRaGD6DVr1izM\nnz8fCxYsELoUUWEYBrGxsdi3bx9mzZqFy5cvY/jw4ZBKpZg2bRoGDhwoyFyQjtLugWi+6bIrmoYQ\nYx6JZVmW2wuiUqkAABYWFvjpp5/g5uYGW1tbrF27FhKJBF988YUgS1xi6BLGx8fD1tYWq1at4vW5\nhHSUeM7zEd7om46akJCAWbNmAXg5KdXS0pICRysWLlyI27dvo7S0FIMGDQLDMCgvL4dcLkd0dDRe\nvHiBKVOmQCaTwcfHp9XpqC9evBCkC6K9cK75xWddxcfsDQBcWGtoaIC5uTmsra2h0Wjw9ddf4/Dh\nw3B2doa7uzsSEhIE6yZJpVLunwMCAnDkyBFB6iBEzKjTQVrYtWsXduzYgZycHN5b1KaguLgYo0aN\n0tslePbsGXJycqBQKHDx4kW8/vrrXBdkwIABgnVBxDo/pCP0LQc9efIECxcuhI+PD+rr65GRkYFn\nz55h2bJlgm6kFKpLGB8fj759+2LlypW8PpeQjqLQQXSkp6dj1apVOHXqFAYNGiR0OSaPYRhcu3aN\n2wvS2NjIdUHeeuutV5oL0lGGvnCOb01ncFhaWnKB4969e4iIiMAnn3zCzacAgJs3b+KXX37hbiE2\npI52CYuLi6nTQUgrKHQQHa+//joaGxu5iaiBgYHYtm2bwFV1DyzL6nRBSkpK8MYbb0AqlSI0NNQo\nXRB995CYCn0zOK5evYqlS5di27ZtRgkXXUVdQkLaRqGDEIEwDIOrV69yXRCVSoWgoCCuC9L0VEZX\nuiDaG26b30NiKvTtP8nLy8O6deuwb98+jBgxQsAKdVGXkJD2UeggRAS0XZDs7GzI5XJcvnwZnp6e\nXBekf//+neqCaJckLC0tYWVlZXKBQ98MjmPHjuGrr75CWlqa6G5hpi4hIe2j0EFEJT09HTExMdBo\nNIiOjkZcXJzQJQmCYRiUlZXhxIkTyMnJgVqt5rog3t7ebXZBzM3NodFoYGVlZXItfn37T1iWxc6d\nO5GdnY39+/fD1tZW4EoJIV1BoYOIhkajgaenJ7Kzs+Hs7Ax/f38cOHAAXl5eQpcmKJZl8euvvyIr\nKwsKhQJXrlzBm2++yXVB7OzsuE5GaWkpXF1dYW5uDoZhRDEXpKO0I9kZhkGfPn24wMEwDP7xj3+g\ntrYW27dvp0mbhJgwCh1ENM6dO4f4+Hikp6cD+G2wknbQEnmJYRiUlpZyXRCGYTB58mTU1NQgOzsb\n+fn5sLGxMZnpqMBvG14B3QvzVCoVli9fjqFDh+Lvf/+7qGomhHSeaR3WJ91adXW1zuVcLi4uKCgo\nELAicTIzM4O3tze8vb2xZs0a/Pzzz/jjH/+IyspKuLu7Y/Xq1ZDJZAgJCUG/fv24mRxN94I0NDSI\npguibwZHXV0dIiMjMWPGDCxdulTUXRpCSMdQ6CCiQW8qnff48WPMnTsXTk5OyM7OhpWVFS5fvgy5\nXI4///nPYFkWU6dOhUwmw6hRo0Q1HRWA3g2vDx48QEREBGJiYvD73/+eXhuEdBMUOohoODs7o6qq\nivu4qqoKLi4uAlYkflZWVpg3bx4++OADLij4+PjAx8cHa9euxdOnT5GZmYmvv/4aZWVlGDVqFKRS\nKaZOnSp4F0TfDI6bN28iKioKW7ZsweTJkw3+XEKIcGhPBxENtVoNT09P5OTkwMnJCePHj6eNpAbE\nMAwuXboEuVyOnJwcAEBISAhkMhlGjhz5ynNBOkPfDI7i4mJ89NFH2LVrF0aNGvXKzyGEiAuFDiIq\nCoWCOzIbFRWFtWvXCl1St8SyLJ48eYLMzEwoFApcvXoVo0eP5rogffv2NdodMa3N4ABe3tK6efNm\nHDx4kDpchHRTFDoIIWAYBhcvXoRCoUBubi4kEgnXBfHy8jJIF4RlWTQ0NEClUrWYwbF//36kpaXh\n0KFD6N+/Py/fMyGEfxQ6CCE6WJbF48ePuS7ItWvXMGbMGK4LYmtr2+kuSFszOLZu3YqysjLs3r1b\n7829hJDugUIHIaRNDMOguLgYCoUCJ0+eh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pdBoej6fEvMyu1lb5njbSVmI7UOrSkebB9aCWdpB7Q7DUTnUoFWnSxc2JtmI5\n/bElvJroiVpkkH4H6HFeeeUVzJw5054Xw+izMDHSxylXoCrtUlEyL7PKa0N6XOpnUiwWK+5pYzby\naIgVXTqV0g61mNoxG+lCGQwGAfTenC6bzdraVuym98+qFFal6Em5dm5pRIQeJ5VKoa6uzvQxMvoX\nTIz0Ucrtrgto71KxcmzZbBaZTMaUPW30CqdKniVWCrFyaQel1A7rKKkOvW3FTAQap1L0RDrvHMch\nn8/j448/xpAhQ5BOp5kYYVSEXQX7IPTORNopQwsuk8kk0uk0otEo6urqVNtlAfPDzjRSk8vlEIvF\nEA6HbQ2hp9NpJJNJRCIR1ddvF3ThDAaDiEQiiEaj4q7DhUIB6XQaqVQK2WwW+XwegiD0y1SAESrd\n/dO7+EAggFAohGg0ikgkAr/fL6Z5UqkU0uk0crmcGEnsD/Ps5GtQmnfaEk8Iwd13341Ro0Zhy5Yt\n+M53voPHH38cmzdvLjvmVatWYfTo0fjCF76A22+/vdffn3zySYwbNw5HHnkkjj/+eGzcuFHzcxnu\nhyP94RtZI8jbdaWCQlqXoVUAdHR0oLGx0RSxII2GeL1e1NfXmyZCUqkUvF4vQqFQ2cdIoyGRSERV\nhNAFqa6uruRuDoA4h3ZtDChP7VAxQkWMkx0JqVQK4XDYcUFHN0s0kmqT38XTdIJaB4lVYzETt7xH\nFPn85HI5fOUrX8GsWbPw1ltv4a233sL48eOxYsWKkucJgoDDDjsMq1evxtChQ3H00Ufj6aefxpgx\nY8TH/P3vf0d7ezvi8ThWrVqFJUuW4K233tL0XIb7YWmaPgLNj5dr1yWE6K7LoOkKowuddIffUChk\nSR67nGY26uBqVcpGz/nlqR3qAQOgpqzWrURvBwnrjqoO2olGCQQC8Hq9mD9/Pq6++moAPZ9vOevX\nr8eoUaMwYsQIAMCsWbPwhz/8oURQTJ48Wfz/SZMmYceOHZqfy3A/TIy4HGk3Qbl2XTPqMqodm7xl\nOJ/Pl5gimUG512VkPxs3BwTpwlnJVbMvmYW5jXI1EOV2znWr54nbxlMO6RjD4XCvv+/cuRPDhg0T\nf25ra8O6devKHm/p0qU444wzqnouw50wMeJS6IUxn8+jq6sLDQ0N4hdaGomQtuvqxUhUgI5B3jJs\nB2ZEQ9T+5jahotUszKl21/6CUluxUncU/Yywee6NkjjSMj965vDVV1/FI488gjfffFP3cxnuhYkR\nFyJt1wWvxgTXAAAgAElEQVRQcgGk7apK7bp2UGkMVi3mUjtqu3f3dRuVunacaHe1Eqfu/iul0Og8\nS8WinfPsNtGsRD6f15Q6Hjp0KLZv3y7+vH37drS1tfV63MaNG3HllVdi1apVaGxs1PVchrthYsRF\nVDIvM3sRrrZl1uv12ioEaKdQKpVyZHffvoCWdldAX8Gmm1IAbhqHUgrNyW0D3DI3QO/PjFaPkYkT\nJ+LDDz/E1q1bMWTIEDz77LN4+umnSx7zySef4Oyzz8by5csxatQoXc9luB8mRlxCOfMyaoedTCYd\nW4SNpkWMQgWa3++v2WiIXqop2GQph8rIF1vpPGvZNqCctXp/hV63KuHz+XD//fdjxowZEAQBc+fO\nxZgxY/Dwww8DAL75zW/ipptuwoEDBzBv3jwAgN/vx/r168s+l9G3YK29DlPOvIzuM0M7ZRoaGkxf\nhLu6uhAOh1X3idHTMksfn8lkUF9fb3h8VATlcjn4/X7EYjHDxwRKxygVgEBPGN7v99vqFisnm82W\nLG5WIU3t0MVTurjSVJzT4s+u+dBCNZ8Ps9qK5RSLRWQyGU2LvV3IW40/+OADPPTQQ1i6dKnDI2O4\nHRYZcRBqXiZv15VvKpdMJh0ZWzqdRqFQEGtD7EQqgsLhcC+baYZxKqV2gB7fFWnkhHXt6KeW24pT\nqZSrxBLDvTAx4gBy8zJpu24ul0MmkynZVM5K+3Kl41LHykAggHg8rmvxMTpWpZRQtRvbMfQhXzST\nyaQoBJ1cNN0UvDVjLHrbisu1b7uppociH1MymWRW8AxNMDFiI/SCUygUTDUvMwtpNKSurs72sDjr\nlHEfdCGkVPLisKoewk2LrhVjqdRWrNS+7TaUhBoTIwytMDFiE1rMy6hxmFKfvpWREbmdvN5oiFEq\nFcha8frp66Y1Iz6fz9IoVH9BadFU6yZhqZ3q0NK+TVNptKbGLYWx0vOzTfIYWmFixGLU2nX1GIdZ\ntUDSzfWKxaIpEZlq24XtjIbQMXZ3d5f4l0ih6QenL+xup1I3SX+uh7AbeY0Pz/PgeR5er9cVuxWX\ni4ywmhGGFpgYsZBy7brSSIAW8zIrLib0jjafzyMUCon1KXZB54DneVsLZKURqlAoBK/XW2Iul81m\nS+oj2Db0+qFiQ6kwtpzNel8Rfm6q06DXFL/fX7Gt2C7zO/lx0+k0WltbLTkXo3/BxIgFlGvXBSCm\nQ/REAsxOHdD6FEEQxK3tzULLWKXRkPr6+opzYNbrl9bleDwehEKhXu8RvWjT7eelpmHsDr86KtnZ\nV7qjZ2kzZZSEkZoQrNb8zsh4WM0IQytMjJiMWrsuLQ6NRqOOeCZIu3VoVMDOxdTJaIj0dft8PqTT\n6YrPU2t9tbN4s7+hVA+hZhTGxEj1yIUgAHGe7eiQYjUjDK0wMWISau26RotDzYgM0KgAALE+JZPJ\nmH6hLzdWvdEQs6CeLdKaGEEQSsaoNfSudIcvX0QBa+46+ztqd/Q0fVap1dUO3JSmqXYscrGhJrL1\nzLXSeJjPCEMrTIwYhIab0+m0WIdgdruuETGipVvHSsyIhlTz+qUiMBQKlbwvZlGueFN+19kXd9Ol\n8+3UWKVzWygUEAgE4PF4SrpJaGqnr82t26iURqNtxdVsHaB1bxoGg4kRA0iLIek/unBSAWDVQqgF\n2q3DcZxitw7HcZY5m9JIUSqVgt/vdzwaYhdKd51Ku+nK7zoZ6tBoY7lW11rcA8aq9JWWtmL5bsUe\nj6dkWwVKKpUybRsHRv+GiZEq0NKuW04AVIPeyAAhBJlMRtxbpFK3jpnQ86RSKUes5Kl7rNTBVg9m\nFwur1Z0UCgXkcrleF3VWI6GNSnNL02ZmpXbc+L7Y+b1Wmmu5vwzHccjn89i2bRsGDRrEIiMMzbBb\nMp3QAlWe58W7B3pB4Hke3d3dCIVCiMViprokar0Q8jyPRCIBQRAQj8dV0zJWGHzRBQDoqU0xQ4ho\nGSf1S0mn04jFYohEIq68I6bCIxAIIBwOIxqNIhwOi14R2WxWFLr5fL5XfUstoremh85tJBIR55am\nzVKplCjUqROyXtz4ubIbOtd+vx+hUEgsyqdi+sEHH8To0aOxadMm/OAHP8CyZcvw0UcflZ3vVatW\nYfTo0fjCF76A22+/vdffP/jgA0yePBmhUAh33nlnyd9uvfVWHH744Rg7diwuuugi5HI5S16zVcS4\ngxE8O/4NGDDA6ZesCNu1VyNq7bo8z4ub2Vlh3EULTdVacOUupn6/v+JFM5fLged5U+5c6A6i1FfF\nzF2GabQpHo8r/l26l44WEVIsFpFIJNDY2Ci+p3SsNFJh98aAUjKZjPj5ovUn1eTrjUAIcc1drXwn\nWCMo7VSs1YfDTXMCuGs3YwBidCQYDALo+S7NnDkTF1xwAf7+979j7dq1GD9+PF544YWS5wmCgMMO\nOwyrV6/G0KFDcfTRR+Ppp5/GmDFjxMfs3bsX27Ztw4oVK9DY2IhrrrkGALB161acfPLJeP/99xEM\nBnHBBRfgjDPOwOzZs+174QbhOA4vhQ+z7XxfzvzblTc4LE2jAbV2XboAB4PBkkXNTCrVdlTrYmpW\nZIQWivr9fsTjcXR2dho+phbM2EvHjXe50rtOoPd+MPJ8fX+vjTATtdQO64gyhjyCRaOy3/ve9zB/\n/nwAEDv6pKxfvx6jRo3CiBEjAACzZs3CH/7whxIxMmjQIAwaNAgvvfRSyXPr6+vh9/vF3aXT6TSG\nDh1qwauzFo+Pfb6YGFGhXLsuUHo3Xl9fL+ap7UQqhuyuzaDnt8s7RS6aqACjAqg/LxZ0AaWUW0Cd\nbnvti+jpJJG267thbt0yjnIojU+pzXfnzp0YNmyY+HNbWxvWrVun6RwDBgzANddcg+HDhyMcDmPG\njBn40pe+ZGzgDuAN27jxYbd9p9IDEyMKqO2uSzs1BEEouRsvFouWVrfLjy2NRlTbqWIkMiKPhkgv\nOlYUgVKkrcJOmcc5jdYFlFnZ60etk4TebNACdRaZKoU6G8upNC9G5m3Lli24++67sXXrVsTjcZx3\n3nl48skncfHFF1d9TCfg/LX92QGYGOkF3cmVGv9I74aoi6dSp4YVxaBKx3baydXJ85tlnGble2UW\nesZXqRWzr1vZOx0BoJEp6nMSiURckdpx22dYPh4qkisxdOhQbN++Xfx5+/btaGtr03TOd955B8cd\ndxyampoAAGeffTbWrl3b58QIS9MwMSKi1q5rlnmZ0fHlcjmk02kEAgFTUhN6F2W1aIiR41aCpiXo\nDqBWp6OcvsibsYip1UYwK/vqkEZJ9VqsWxWZctv7JR1PLpdDKBSq+JyJEyfiww8/xNatWzFkyBA8\n++yzePrppxUfK/9ujh49Gj/5yU/ErR5Wr16NY445xtiLcABvuG/cGFgJEyNQ311Xq3uplXfbVChl\nMhlHxJCT0ZBCoWBpp5KcvhA1qQal1I6ST4T0zp6hnXJmd7VUdCyPYGntPPL5fLj//vsxY8YMCIKA\nuXPnYsyYMXj44YcBAN/85jexe/duHH300ejq6oLH48E999yDTZs2Ydy4cbjsssswceJEeDweHHXU\nUfjGN75h2Wu0Cs7bfz4H1VLTYkStXZe2k3o8Hk3mZVYsYlJLcwCmF2pqGbO0UFfP+Y3OhdS4LRwO\nI5PJsAXSRKQLYzkrewBilwKzW9dHuaLjcuKvmtSO0+mrStBIphZOP/10nH766SW/++Y3vyn+f2tr\na0kqR8q1116La6+9tvqBugAPEyO1K0bUoiHUr6Ma91KzLhDS1FAkEhHvrOzCSNus0XFKhSD1Fslk\nMoaOqUR/jIAYQXp3T9slA4EAs7L/DCPf7XLij4oTq3fPtQOlyAjbJE8bnIeJkZoTI5XaddPptG6/\nDsC83K20UJbua2NVp065yEi10RCjSNNiUiGotRBOK26+m3QTanUncrt16eJp5vw6vWGflajtVKxU\n1yOf374QGXGLQZzb8QZsbO11KX1HdhuEipBsNisKEWm7LrUSj0ajqKurs71VFuiJhnR3dyOfz6O+\nvh7hcNj2aAidh7q6OkSj0arOX808FAoFdHV1oVAoVLSxNwuaCspms8x6XQN0YVSyW6dW9tRunc2n\nfuTzG41GEQqFys4v4K7onlwc0esIozKch7PtnxLV2vFns1lMmjQJ48ePR3t7O66//nrxb0uWLEFb\nWxsmTJiACRMmYNWqVapzUBOREdquS9MeNHQorckIBoOGowDVipFKhbJWFVVKj+uGaEilImGz6erq\ngtfrhc/nEyNS0p1HWZ2EOkotxZVSD315Pu2ORKildmidWzqddkVqR+n6xCIj2nGyZkQQBHznO98p\nseOfOXNmiQNuU1MT7rvvPqxYsaLkuaFQCK+++ioikQgKhQKmTJmCN998E8cffzw4jsOCBQuwYMEC\nTePo92KELjLUkId+iQVBQDqdNnWb+WojApV2+bW6wyOZTBqyVJejdby0LgaAapGwmWFpGg0BgHA4\nDL/fj3w+X7I3DbXe7+v+HE6glHqota4SK5Huo0O72/SkdqyG1YxUh8fvXJrGiB0/AHHPNBoNbWxs\nFP+mZ93q92KEXujoP3onLq3JcOJCKO0W0Vooa/admdRTxe5oCK2LsTMaIi2MBaAovOidPt3si/lz\nGKNcV4nThmH9BaWWbbnhnbxl267oVDKZLFmYGOVxsoDViB0/0BOtO+qoo7BlyxbMmzcP7e3t4t/u\nu+8+LFu2DBMnTsSdd96JhoaGssfp92IEOHinTsObhBBN7brVnqcS8m6RSnfaZl84pJ0yADTtdGsW\nWqMhZqKUCiq3mR/HlW5KWM6fg+0LUx2VFk+plb3bolBurs+g6HXjNasrSmk86XS6ZJFjlMfKNM07\nHZ1450Ci7N+NXqs8Hg/ee+89JBIJzJgxA6+99hqmTZuGefPmYdGiRQCAG2+8Eddccw2WLl1a9jg1\nIUaAni8G3R4+FotZ5oaodsGqJhoif77RcctrQzo7O02PuCjNg1KXkJ5z0mPqHafZ4qfSYsrzvGH/\niFqi0uJJo3dSvxMnRUpffB/1dEWZKahTqRRisZjh8dcCHp91N2XHNDfhmOYm8eeH/1Pq12LEjl9K\nPB7Hl7/8ZbzzzjuYNm0ampubxb9dccUVOPPMM1WfXxNipKurC0DPjpGZTMbSC0o5MSLdV6UaJ1Gj\nYzbiG2IUurlgsVi0NRpCi5OtTMfVWhGnHUgXT/q5DQaDLFUmwUiURm90SstnVulGgdWMaMfJNI0R\nO/59+/bB5/OhoaEBmUwGf/3rX7F48WIAwK5duzB48GAAwPPPP4+xY8eqjqMmxAhV51a3Gip9WaUm\nakb2VTFSxKrWKWNFcazUG8QOQSBHKn6csM8vV8TZHzatcwK9dRG1Eo0y6/XpSe3IxYm0uFyOVjt4\nhrPdNEbs+D/99FPMmTNHvAG79NJLccoppwAAFi5ciPfeew8cx+GQQw4Rj1d2HJa/UhdA+/St7kqR\nH1++sZzdC46WaIhVc0IIQTKZNE0QaB0nFV5KOysrHc+OBUstTK50p++m2gQ34lQ0yu0mY2aiNbVD\n51gJJka0Y2WaRgvV2vEfeeSR2LBhg+Ixly1bpmsMNXc7ZocYkZuoRaNRw0JEr2jI5/NIJBJikayd\naRlq0OT1elFfX29LZEJu2GZnUa5eyplb0S3qC4WC2AbrlHmYWxZereOgkahgMIhIJFIShaQp0nQ6\njWw2K24D0ZdxyvNEbnhHU2l0TtPpNFatWoWVK1cil8tpqhmp1nALADo7O3HuuedizJgxaG9vx1tv\nvWXaa7YTp03P3EBNREYoZvpVlIO6vJptHqZVjOitDTEzMiI9dyAQEPvPrYYuNjQC5YZFVA/yNAT1\n4qDihBXF6sepos1aQR6d4nkehUIBfr8fu3fvxnPPPScWMk6ZMgXHH388pk6dipEjR5Ycx4jhFgDM\nnz8fZ5xxBn73u9+JXYp9ETeLBLuoSTFiBcViUcxd210gSpGmKOxelKXnph4dZlKuQ8esehy189gN\nvdD7/X5WFGsSZnRBUeNEN+CWyBWFzo3P58OcOXMwZ84czJgxA3fffTfWrVuHVatW4ZVXXukVujdi\nuJVIJLBmzRo8/vjjACA2B/RFnE7TuIGaECNKi41ZX2RpkSa9gFkhRNQWSaM77BpZfJXOnc1mIQhC\n1cfUQqFQQDKZNNSd5LYLuhqsKNZcKhVtKgk+p0VqX4PjOBx99NE45phj8N3vflfxMUYMtz7++GMM\nGjQIl19+Of7xj3/gi1/8Iu655x7bIrJm4mQBq1uouauVmXe+giAgmUwim80iFotZEhGQojTuXC7n\nWG1IPp9HV1eX6OBqx7mpV0t3d7dYb1GLiy5NQ0hrJKiTLc/zSKfTSKVSJTUSbDFVp9KcUuHH5rQ3\ncmGvVegbuRkoFArYsGEDvvWtb2HDhg2IRqO47bbbqj6ek7CakRqJjEgxQ4yUM/CyMhog/9LS9lVB\nEAx1q1QzHzQ9wvM8otFoLxFiVaqDGphR8VOLIqQc/dUp1snolXxO0+m0+D1z2sq+L0T1tIzRiOFW\nW1sb2tracPTRRwMAzj333D4sRti1rCbEiPwLYWShpAuikqW8lfUGSt4dldpXrcCJYlH6utPptCV7\n2fSFC7temFOs+dC0jlT4SwVfNWZh/YVq62mMGG61trZi2LBh2Lx5Mw499FCsXr0ahx9+eFXjdxqP\nj4mRmhAjUqq9MCjtbyI/ltXFj9S7w2g0RIrWMZtVLKoX2rJbLBbFsLnZ1MJiodebww2FvH0BWptj\n5z4w9Dxu/txqFSdGDLfq6upw33334eKLL0Y+n8fIkSPx6KOPWv3SLIFFRmpUjOi9yNKWMY7jKm51\nb5WBWLFYRC6XQygUciwaorVY1KxUmNS91ar9c9x8QbcataJYuqGkW/aEcQNaPtOVWorp/lj9zcpe\n/l2iO3JroVrDLQAYN24c3n777SpG7C7cXMthFzUhRqpt3dQSDbEaWhtilXeH2nxIN/azOxoit3On\nOwwzrEO6kFLjOrYnTCl6X2uldFm1VvZuajNWIplMsn1pdMDZsF+X26kJMSJFqxih0RDapaLli29m\nZEReG2LH5nJSqnn9FCPzoNXO3SzowiDN7bP0RA9uKIrtb9Erp6zsrUb+PrFN8vTBIiOstbcXNDTd\n3d0tpkS0LsRmiRFaJ0FbhiORCDwejyWLpHzMRl6/EQghomW3XXbugiCgq6sLuVxOPDdNT9S6IFF6\n/VJL8FAoJFqCe71eFItFZLNZpFIpZDIZx2zs+yLVWNm7fV6TySTbl0YHnMdj2z8lqrXk3759O046\n6SQcfvjhOOKII3DvvfeKf+vo6MD06dNx6KGH4tRTT0VnZ6fqHNREZERrmkZvbYTSeYxcJCp1ylh9\nATISDZGjZ6zyeVcSIWZHnQRBQCaTKUl7SWsl6Dz0pbtTs6n0evvrXX453LCxIrWyp4KZpnic7oRS\niowwMaIdJx1YjVjy+/1+/OIXv8D48eORTCbxxS9+EaeeeipGjx6N2267DdOnT8e1116L22+/Hbfd\ndptq63VNiBE5VtmKS4+n98JQadt7qy401B8lk8kgm80iEokgEAgYOp/W5zpRk0KN6gAgHA4jEAgg\nn8+LCwDHcSgWiwiHwyU762azWUu6IvobzCnWfJTSZZlMRoxIydu0pR1RdsHSNMZwMk1jxJK/tbUV\nra2tAIC6ujqMGTMGO3fuxOjRo/HCCy/g9ddfBwDMnj0b06ZNY2IEKN89QSMR1UZD5OfQi1bfEKs6\ndaQ7bqp1CpmNmVEYLUiN6sLhMPL5vOo51eol+nNXhNmo3eWzotjqoHPj8/lKPp9uEn0sMqIPJ8WI\nEUt+KVu3bsW7776LSZMmAQD27NmDlpYWAEBLSwv27Nmj+vyaESMUuqhL91RRchE1enwtF9NK0RAr\noYtzNpuF1+tFLBYzbQGo1KFDO5T0RGGMiDHpPFPBxfO8rmOUEyd0YZUWc7JFtTx6i2KLxaKTwy3B\nzcW0Too+pe8lqxnRh5XdNG9u24U3t+0uf24TPgPJZBLnnnsu7rnnHsX3XctnrSbFiCAISCQSCAQC\nlriIVlo0q3FRNTMyQl1kgZ5UBb1QWY30vHZFYazqzpFe2P1+v2ktm7VGpdZX2tJN0xJsHnuodC3Q\nKp7NtLKXPjedTqO5ubnqY9UaVpqeTTlkKKYcMlT8+edr/lHydyOW/EBPzd8555yDSy65BGeddZb4\n+5aWFuzevRutra3YtWtXxc9DzYgRKkLojrKxWMyy3XXVqDYaYpaRmHxPHZ7nTffwUOrQkaZI7PBr\nke6fo7STsdlpr3LFnMx+XR/yeaQpB+p90t+KYo2g5zXLxTNw8PNJDRWrtbJXihixmhF9OJmmMWLJ\nTwjB3Llz0d7ejquvvrrkbzNnzsTjjz+OhQsX4vHHHy8RKkrUjBihbYd+v79kwTCbcouc03vKqO2p\nYyVmpaL0iIdCoYBkMqnanWPGeSohtwpX6jSpxX1M9KKUgrC7PsLtrbTVIJ8nM63sWc2IPjgHu2mM\nWPK/9957WL58OY488khMmDABAHDrrbfitNNOw3XXXYfzzz8fS5cuxYgRI/Dcc8+pj8PyV+oSCCFi\nXUR3d7dl51FazMxYkKtdJOW26nSHYaPH1YITBmZOOMZqRWunCX2sm2sUnMTJ+gi3vB9WfDYqtRTL\ni7bp57lcZISJEe1wnLMdZdVa8k+ZMqVsXdeAAQOwevVqzWOoGTESiUTEC79dVBIC1RxPD1pFkNli\nhOb90+m0bYW5tGXXru4cMyh3x08Nw5jXifb9YJx2iu2PVKrnoXVRVJAIgiDOKxMjOmEOrMyB1arj\ny11Uw+GwLd4dwMEajUQiAa/Xi/r6+rKCwOwLMs/z6OrqAgDE43HThIha+iubzaKrq0uMwNht3W8W\nVJzQvD7dpZjjONEYLpVKlThx1gJ6P6P93SnWqbFKa3lCoRCi0SgikYgoVnK5HG644Qaccsop2L59\nO9atW4f9+/erHrNa589sNotJkyZh/PjxaG9vx/XXX2/ui7UZpx1Y3UDNREYodBGyMgRO0xNmREMo\nWhdPGg2hRbp2tQvLC0atTIVRlFp2+xPM68QcyhUX63GKdWPKzA3joXNGjQJvuOEGrF+/HnfddReW\nL1+OBQsWYNiwYfja176Gm2++ueS5Rpw/Q6EQXn31VUQiERQKBUyZMgV/+9vfMGXKFFtet9mwjfJq\nSIzQL66VX+BisSh2plglBNQuitXUaJgRIZAWjNbX19uSIrG7HsUNaAmbA+iV06/WjK8/z6lep9j+\nPBdGkX5WYrEYTjnlFNxzzz3405/+BJ/Ph40bN2L37t4+F0acPwGIWznQ6NaAAQMseHX2wDbKqyEx\nIkWPMZkWpLUhHo8HgUDAdCGiNlapgZtSG2ul41YrRqQFo5FIBMFgUNN4q4HjOHGDMLWW3VpCfsfP\nvE6qR0tRLADRJNDJKFRfEIo8zyMQCMDj8eCoo45SfIxR589isYijjjoKW7Zswbx589De3m543I7h\n4vSJXdS0GDEDQRCQTqfFIlF6d2oFSiKKRgisMnArh5aCUbMvmsViEYlEwtYITF9CzetE7iXBxIk6\n8igUTYt5PB5WFCuj3Pdci5GjETweD9577z0kEgnMmDEDr732GqZNm2bomE7B0jQ1JEbMbmdVMhCj\nhYZ2FJiZFSHQOxdOGZjxPC++VjNadsu9bjcWthpBzUuiLxiI0W4Np6FCj3725FEoO03t3BYZUTLC\n0vIdMur8SYnH4/jyl7+Md955p++KEZamqR0xYiZSAzF5bQhNJ1gBXShpZ4Xf77c9GqLVzt2sRZ2e\ns1gswu/3u847pK+h1UDMjkLvvowZRbH9iWoiI0acP/ft2wefz4eGhgZkMhn89a9/xeLFi6t/AU7j\nsM+IG6hJMWLEQEwpGmIXNBoiCIK4yZyZxy73Wsz2S9E6HnrOcDgMAKbb1lP66wKhhXK1ErTeRO51\nYvfur25BiyjTWxRb7Vy6TSAqRa+0jM+I8+enn36KOXPmiALw0ksvxSmnnGLJ67MDlqZhYkQzatEQ\no8fWgjT9Y2a9RKWLhhN76SidM5fLVXWs/sIbAyYCADg/B8L3zOsJHe+Yfh5aK0H3ggkGgxXdTWtR\nnGjBSadYJ6HmZ1qo1vnzyCOPxIYNG4wN1E2wNE3tiJFqa0b0RkPMFiPSjhWPx4NQKGT6xb9cd5ET\n7bN2npMaYGUymZI7VrexdsSxJT9z/p45eWPARARbApj0/lrLzl3J60TeTtxfFlQr6K9OsfJrRyqV\nEttuGdpwsxmZXdTkDGgVDIIgoLu7G7lcTpeLqllipFAoIJFIoFgs2mpxTghBMplEOp1GXV0dIpGI\nLWmZVCpV9pxWRJx4nkc+n0c4HBZTXnRBSKfTyOVyKBQKjha0rh1xLDw+DoEBfgRbeqflhIy9LqxS\nd9NwOFzibioIAjKZDNLptGnupm5JSVi1F0w1TrFumZNysB17q8Drte+fAtU64ao9d8mSJWhra8OE\nCRMwYcIErFq1SnUKaiYyIqXSwmakNsSMi0Q5/w6rUkDS45pVHKtnrHabpuXzedEvIhaLged5MaRO\nRVEgECib67ejEJHOnTfsEdMyABAY0FMsme/gEWwJQMgU8daoyTj2o79bOp5yqLUT291l0tfRWhRL\n565QKLiiKFYpMsL2pdGJg++hESdctedyHIcFCxZgwYIFmsZRM2JE/oUtt1BKa0OqsRg3KhgKhYJY\nNCiPhljZdkqLY+3c8ZbuK5PNZnuZpll1PtoOTQ2Zyl3Iy3Wc8DyPbDZrizhZN+a4sn+jogQAigWC\nDcdMxVHr15g+hmqghZlqCyoTJ9pQKoqlc2hmUayZMDGiHyfTNEaccCs9V896VbNpGjnSDdf8fn/V\ne50Y6dTJZDLo7u5GKBTSvOGbWSSTSQiCgHg8bqmPB4WmwHieRzweryhEzBB5iUSiosiknw3puWjU\nJJhgwx4AACAASURBVBgMIhwOK25gZ3Za54NTTgUABBp6FiFaJ0Lxx3rG7w33fEbyHdZ0GpkBXUyD\nwSAikQii0ajoGJvL5SyZv/4KjZx4vV5xLqWfxXQ63WszRavnUx4ZSSaTLE2jF85j3z8ZSk64O3fu\n1DTsSs+97777MG7cOMydOxednZ2qx6qZyAhQWqgp9QIxGg0xCnUz5Tiu4kJpdnFsNptFsVhEKBQy\nvLOw1nNKW3atNk0rF32Rfwb05OHVChHlkRPpf7UiH0dwkB8eL4fsfl7x8eHBPeLRzOiIlXUJWr1O\nvF6vZgMtq3FTnYZcKLutKJZFRvRjZWvvG5u24I1N/yl/bgOfBbXnzps3D4sWLQIA3Hjjjbjmmmuw\ndOnSso+vKTFCkRo6me0bordThy6UWhdmM23sqQCiW9abeYFSmodq24SrpVgsIplMAihv0kbz9Ebm\ntVLHidLuumri5P2Tp4PzcAgPCkDgexeo0qiIP+aFL9Tz/wJfFP+/r6HWAktt7Hmer1rc9UfKfVeV\nPotWO8WymhETsLC194QjRuGEI0aJP//0f18u+bsRJ1y15zY3N4u/v+KKK3DmmWeqHqtmxUixWER3\nd7fp0RA9nTpa3UylxzaKkp17d3e34eNWwmjLrl7BQM/nhDmd2eKEEmryQ8jb2z3jBNK5KRQKCAQC\n4DhOdf5YO7EyVjvFKn0nmRipAgcdWI044ao9d9euXRg8eDAA4Pnnn8fYsWNVx1FTYoSKEJ7nUSgU\nEA6HLVuoyoV1jeztYvQOXhqZkAogOwpj7dpl1+7zaUGPV8enl54Df8SPQrYgRkU83oOfD2/AIwqS\nSFMIAJBP8fD6PRD4IjaeMA1HvvGaja/OesrNH51DO7xO3JamMRIZssIpVh4ZGTp0aNXjq0kc9Dcy\n4oRbV1en+FwAWLhwId577z1wHIdDDjlEPF7ZcVj+Sl0ELZqkX2ZqM24mahcsM2pTqhUNuVzOVjt3\neidr5y670hZhLW3JTtUiqIXSs4mDTrPRQT3GUZmOjPg7f8QPIa/sRuv110bqQjp/tBBWvqCydmLt\nqKXJqnGKZT4jVeDw3jTVOuGWey4ALFu2TNcYakqMpNNp+P1++Hw+pNNpy84jdzQ1qzalmucUi0Wk\n02kUCoWydRpWFMYWCgUIgiBW+xtFbYzVtAi7aWGiF/atF/TkVP0RP/wRP0ix5/VGBkaQ3nfw8xpq\n6P36ooMiKAoEHi+Hjy84E4c8+6I9g3cBteZ1YnWURk8kSnqNo/+fSqUQi8UsG1+/hNnB11ZrL3VR\n9Xg8lt4VSxdOWkSp18W10nG1kM/nkUgkwHEc4vG45QWjQGn0KRgMWu4dQmt/eJ5HfX295edzisjA\nCPwR5ZRTICrxHBEIcl1Zu4ZlOdUuvFSYhEIhRKNRRCKRXu3E1NlUSzuxm9I0diMtcldyigV6BMiL\nL76IO+64A4lEQlN61Ijr59e//nW0tLRUrEPoM3i89v1zKTUlRujFxMoaCXp82gUgTVPYIQaA3tbq\n0WhU9UJqxnzQizz1afH7/bY4qdILXywWs70I2Ux2feM8AECkqXRPD05yxyQVI6H4QdFFn0NrS/wR\nvyvaYd2EmtcJLXZmXifakEahqHlgJBJBc3Mz9u7di1deeQUzZszA1KlTccMNN+Cvf/1rr2NQ585V\nq1Zh06ZNePrpp/H++++XPIa6fv7gBz/o9fzLL7+8or14n8Ljse+fS3HvyCzE6sWGGphls1nD0RAp\nWsbN83yJuZcdBZy0MNbs1ytF+tqle+dYdT67yRxIw+M7KKZoiqZalPY0YRxEamRHxQk1+7PKyM4s\n3BSloWPxeDyYNGkSfvazn2H8+PF45513sGjRIvh8vl4W4kCpc6ff7xedO6UMGjQIEydOVLyGTZ06\nFY2NjVWP+4ILLsCWLVvK/j2Xy+GEE04o8SKyFI6z759LqamaEfkX2IovNa1G9/l8FSMS1aBWN0H3\ns9Fr525EnEn3sqmvr7c8+qS3SLUcTkQ/ykGjIlI4D9dLkPjDfvjDfqT396538of94DMHTdE6rroY\nQx77PbNg14iWIk76s5527FoklUqhtbUV7e3tmD59uuJjlJw7161bZ8v4PvroI6RSKYwcObLsY4LB\nIKZOnYoVK1bg7LPPtn5Q3ppaihWpyW+TGUZXcmhtSDqdFnfitCI6oEShUEBXV5chO3e9c0FTQbRy\n3grhJT8fIQTd3d2IRCJVeZW4mVC8p7MrGAuirrkO0YFR1DXXoa65t18DTcsE6gK90jrxoXHx/ytZ\nsLPISXlonQTdnZimJTweDwqFgiO26xQ3Rkak0PSwGnaMf+vWrRg9ejQuueQStLe347zzzkMmk8Ez\nzzyDmTNnAgC2bduGQw89FPv370exWMTUqVOxevVqAMDMmTPL+m2YDouM1KYYAcy9M5YXilIba7OR\nj9ms/Wz0Xhio+FFLBZk5v3KDODs28XMTckESjKkX6UYH9e5kUEpLqO0PY1t4ugJuWXhpKoKKk2g0\nKhZxCoKATCaDdDotipNaFniFQqFifZwR1089bN68Gd/+9rexadMm1NfX44EHHsCbb76JiRMnAgA+\n97nPYeHChZg3bx7uvPNOHHHEEfjSl74EABg/fjzWrl1r+pgUcXBvGrfg3pFZgNkXNWk0REuhqJlI\nN5qjXSRGLZ21PEYqfqLRqOWhamlRLABL9g1ycrHb9Y3zxHRMdGB5bwZ/uHLtT+OIppKfO665tOxj\n1WomaIcJdTt1W82EE8hfv7SIU95hIggCstmsZdEntwg0oPxYKo1P6tyZz+fx7LPPitEKpXNUy7Bh\nwzB58mQAwCWXXII1a9Zg27ZtojMoAMydOxeJRAIPP/wwfv7zn4u/DwaDKBaLyGZt6E7zeu3751Jq\nNlFl9M5dWishr12wqh5B2qVjpoGZlufrta83Ogc0DUT9UbxeLzKZTOUn6jyH0wRjIWQTGUWxIe2k\nCcaCyHX3NjsL1IWQT/a+WAbqQrrGIa+ZkF6AlVw59ViG9xcqdaSpeZ3QaFN/r9vR+p0y6vp54YUX\n4vXXX8f+/fsxbNgw3HTTTbj88st7nUc6v1LnWmnkL51OY8eOHeA4Dt3d3SWGbXYJP9LPPgfVwMSI\nTqR24zTUbdaxtZybGnyZudFcJUMxusuuXe6ttEhVKvSknTRmdSbRc6VSKbFGwKoUmxrhxigK2bz4\nc7lOmrrmGJL/7f7sORFwZaJSHi+HokAg5AtVj4kurjRaQh1O6XYK0p2Ja1WcVILaqNNrhNQltto9\nYdwgoKUofR+1WvEbcf3UWsvxySef4K233sKxxx6Lp556ClOmTEEmk8Hu3btFy/qFCxfi0ksvxfDh\nw3HllVfixRd7DANzuRy8Xq893kUuTp/YRc3OQDWCQU/brNkXjXw+L25oZ5dniR0tu1KkaSCaOpB2\n55h9LmqYFggE4PP5SkKy2WzW8uLOxPVf1/xYf7hHFJSrF6lrqVf8fXLJNxV/rxcaOZHWTNDUoNtb\nYd1CpdSYnjl0s/Bz03t/2GGH4Ze//CXa29uRSCQwb948TJkyBe+88w4A4PXXX8f//d//YeHChbjo\noosQCATw+OOPAwDeffddMcVjOaxmpLbESLWpFJoySCaTYieHWq2EmRcKeV2K2cenx5PPBc/z6Orq\nAsdxVYkfvWJPWgNTbUeQVorFIjKZjLhhIN0igNbB0CgJFSdW5f6FPN/rd9HmuPivrlWbj4I0JeML\nlQrkfLc12x7Iu03UxAntNtGLmxY1K8L1SuJETeC5pahYinxeeJ63zdxRCz6fD0888QQ2bdqE3/72\ntwiHw7jwwgvxwgsvAABOPPFErF27VnwNv//97zF79mwAwAsvvICLL77YlnESj9e2f0pUcsMFgO99\n73v4whe+gHHjxuHdd98Vf3/PPfdg7NixOOKII3DPPfeIv+/o6MD06dNx6KGH4tRTT0VnZ6fqHNSU\nGJGidbEsFApiNETrImlWmkYqCKR27lYbtlHhZUfLLlBapBqLxSwtiqWdT9LQuBy6SEitxKWREzPF\niTTVEoxX3lwsMvBgBIS2AysRGzKg6jFVg5o4KdcKq+fYtUAlgZdOp8U9taoVeFaTTCYrtvXaidJn\n5/Of/zxisVhF07O//e1vOOuss6wc3kEcbO3V4oa7cuVKfPTRR/jwww/xq1/9CvPmzQMA/Otf/8Jv\nfvMbvP322/jHP/6BP/7xj+K83nbbbZg+fTo2b96MU045BbfddpvqFNSsGAHUF3VaGyL1tdC6SJpV\nvEkjMVQQWHVRpuOlLbvFYhHxeNyQe6uWOaBOqplMRlMayMi80veTRphCIe0Fnkr7nBgVJ6mb5iEY\nP3jRjgxqUHxcXWujmKLRSt3gAeA8XNlj2oHSwhoKhVR9OhillBMnQM9NUiaTcczrhCKPjKTTadfs\n2DtixAhs3LhR8W/PPPNMRdOzN954wz4h7KAdvBY33BdeeEGMGE2aNAmdnZ3YvXs33n//fUyaNAmh\nUAherxcnnngi/vd//7fXc2bPnq3oxFsyBWbMY19BnqYphxkmYtVSKRJjRXGstH7CiF+JHmj9jTzq\nYwWCIIjvpxkW+WaLk0Asovp3ecQkMrAe4cao5Gf1HVLNqhsxgpo4oT4dTi+sarihnZbekHAch3A4\n3KudWOp1YpeZnfz41ASRoQ8n0zRKbrg7d+6s+JhPP/0UY8eOxZo1a9DR0YF0Oo2XXnoJO3bsAADs\n2bMHLS0tAICWlhbs2bNHdQ7ck9yzCbqYKy3qtFOFbkVfrYtqNYJBfm67dp+lFzEaDbHCx0OK9HXq\nta2v5ly0EygcDhv2YimHvGtCy/b1lPDAOIRc79oR6T41atBUjS8cRCHT0/rr8ftQ5Hs6aUKNMXiD\n7jOJk3YvAQc7xei80W3qgR7hSjtNnBYEbkBa1K3WTlzus2elM3QqlXJVmqavQCwsLF2z4Z9Ys+Ff\nZf+u9fOgtKaNHj0aCxcuxKmnnopoNIoJEyaUTX1XOk/NiREK9eyg0BZPj8eDeDxuKDJQTfFmMpnU\ndG4zIyPUryQQCIgXLbNQGqfUq6SaOdbz2ovFItLpNARBMLUNWguVxIn/oR+Vfa5SW6834ENkUBx8\nurfPiJxIc/WbhzmJfGGlwiSbzZaIE+mi2h99Ooyi9Nmjnz8r9iiSR4zcVjPSZ7Dwczz1i0di6heP\nFH++dekzJX/X4oYrf8yOHTvE1uivf/3r+PrXezoDb7jhBgwfPhxATzRk9+7daG1txa5du9Dc3Kw6\nzppK00ihC5u0nTQYDJqSotC6aNIoQVdXl+ZzmyFGaIcOrdXQUz9RLXYWqdI0W7WdQGYjT+twGqMe\naoQG9G7l9YVLo2l0sz0hl+/1WLdDhQnHceK82eVwKqcvp4s8Ho+ubQCMvlYWGakOJ9M0WtxwZ86c\niWXLlgEA3nrrLTQ0NIgpmP/+978Aejxdnn/+eVx00UXic2ib9OOPP16xGLjmIyNS7w6rUxRSaJSA\nepbYdW4l51hBEEw/DxVNNEJBnVStFAZ6UkBSUefxeEqiZFaZ1kkJDqhHIVXqKBtpbQI+i4xk9vVu\ngwsPakBmr3p7XDmEB66H91u3an681K3SLVSTDjMzctIfojByp115akyvEZtcHDExUiUO+n9occM9\n44wzsHLlSowaNQrRaBSPPvqo+Pxzzz0X+/fvh9/vxwMPPID6+p4bpeuuuw7nn38+li5dihEjRuC5\n555TH4d1L9GdUBHC8zwKhYJYn2H2RcsqR1MjzrGZTAa5XK7XQm2lYyyNhsgt86tBbZw02gPoF5Z2\n3vkW7l/Y63feoB++aGmbbqS1Cend+ysej0ZI8t1pRJoHoJDpMW2T1o0AQCGVgXt3pagOp8WJE5hd\nSKskTug8yp12pf8tB7UEYOjDaTv4Sm64AHD//fcrPveNN95Q/P2AAQPEHZC1UHNihJpr0TsAK1IU\n5RZN6mhaLBYNRQn0Lp5m1sNogUYoCCGWF6kCB90r7bKrN5tAvA7FQu/oVKS1CbmORMnvwoMaUPzM\nLE0pVdPrGIMHIt/Zbc5AXY7d9RL9EaXCYjqHdONE+hh6HZEKpHQ6XbE2gNEbwvW3WwX9uCsOawPp\ndBp+v99SMy8lMSI12zJSx6BnzFQUVGrZNTMyIm2jBWB5twzNedfV1VluV282oUEDEIirh7SDA+Ka\njqXUHhxu6dnFN9DQ0/rLLfuJzhE6i9EogJZ6CS01J25o63WKSi3ZAJDJZLBu3Tr8+te/RkdHByIR\n9VZ1wBrHz74M4Ty2/XMrNRcZicViotK3qwefbqxXV1dn2ONCq3CoJm1h5KIrb6P1+/3o6uqq6ljl\nkL52Gu2h4s5oZ44dC47nmdvhq4uikExZeh4lAgPiKCTT/S5Vowe1eolqN66zG6eFkTRyQuvBwuEw\nCCFYv3491qxZg1/96lc4+eSTccIJJ+CEE07A+PHjS8ZMHT9Xr16NoUOH4uijj8bMmTMxZswY8TFS\nx89169Zh3rx5eOutt0ocP/1+P0477TR85StfUTUw6xO4WCTYRc3NgLRH3yoxQs9Bjb0AGHY01UMu\nl0MikRA7VyoJEaMXN/mGevTOyao6FGm0JxqNuq7QshzFbOXWXAC9um3CLU0lNSVq0RJfuCftGGoZ\nCE7h82aHCO8rKO0No7RxXT6fFzvvGKXQrqdjjz0Wv/71r3HmmWfiiSeewDnnnIP3338f119/fa/r\ni1WOn30ZwnG2/XMrNRcZoVgpRuhxqRuhmamKSkWcdnWuUKTdOfX19ZbetUlrUezufjKTwIAeL5Di\nZzsEiyh4jHj85d/DQMNnxaudXQgNGoBCsmffEipI5PhidUh+Nn+sdqI35SInhUJPITCtu3IycuJ0\nZESK0lhSqRRGjRqF0aNHiy2ecpTcPNetW1fxMdTx80c/+hE6OjoQCoXw0ksv4ZhjjjHxVTlDuQ3s\naomaEyPyL4/ZX26aPgBgSlpGTjkxotSyW81x9bjxlevOkT/OjPnleR6CIIjRHrdckKullxCpQLC5\nCbn/HuyuCQ6IKxqkVaLu93dBuOR/NDvE1jJUnNAOvHA4DEEQxG48aaeJW9M6dpNKpRCLqW9PYLbj\nZ3/4vLq5lsMuak6MUOgXwqzFUm7nnk6nbfmSaBUFZqLFMdasi7L09Xm9Xsss3aVYETXzPHM7uPoY\nhC7lzpZgyyDx//N7K7f0SqEREl9dBIVkGr56haLYYhHFfB6++hiIhpZYOgdOOp26LS1CxQlFrQ3W\nKnHiJv+XcpGRSj4jVjl+9mUIalvEAjUsRgDzFkypzTlNH9B0gtkoFXHaZWFv114vFLl9PP1/M7DD\n2EwL/uZBgMx0LtAyCPk9e3s9NtjchGI60+v3cjyhoOb6FEC5JZZ+frMOp3XcEGkod8Oi1gZbjUdH\nX0Pp+6Nl116p4+eQIUPw7LPP4umnny55zMyZM3H//fdj1qxZio6fzc3NouOnPMXTF2FpmhoUI9KL\nitEFibYIZjKZXouzVYsddUzNZrOK57WKavZ60Zv6kUL3zZF7h5g9p1TwSD0oLHnfAgFwXh98jY0o\nfiaqfIMGgvC9N8kDegRJoeOA7vP46krbKjm/H76mAUCRQOjq0iRSqDjxer3w+/01YSZmBno8OvpL\nSkz+vtOOJDWscvzsy5Da6yXpBUfccHtoIzTfCwCJRALRaLSqQk+pgVldXV2vYsquri6EQiHT0yZ0\nHwmPx6N43mpRmwtpPUokEtG88Bw4cEB3xIYQUtIKLR1PMpmE3+83ZUdjQggOHDgAjuPE40kXXRqS\nNyPc7v/rIyh2J8B5faIQAQAu9NnrkNvxS+aLChJPpKebRhoZ8cXrwR9IwN8Yh/BZu7D4OInooGKE\n83pROHAAvqYB4M+YpzrmTCYDv9+v+HmQzhPtzrFCnBQKBfA8j3A4XPnBFmLWOKTiRPo50yNO1N4X\nu6FdRtLv4+mnn441a9YwcaoDjuOwe9M7tp2vtX2iK6LCcpz/RDtItdELetdON7crF8I1m3w+j2w2\nK3prWJGPlv9spB5F7/wWCgUkk0n4fD5T7OPLQc3SAIjFsDzPixf4TCYjLqhm1AKQdO/0kidWVzYq\nooZ/0EDwe/fBF1e+G/SEIyhm0gcf3zwIRCJ2PCHjQq7WbNjNqitTi5wo7UxMP2d9Ze7cuMD1FYrM\ngbX2YkNG0jTy3W7VogRmpmkIIUgmk2LawoqLu/x4UifVeDxuuZMq9Q4Jh8NlBZ4ZFAoF0fsFgGJk\niXonSF0naSqMRomq3enUO3AgvAMHln+A7M7Y39oiRjuU8Df2eI5460rz9L1Eh4cDEYQesWJi7Q3Q\ne1fiSCQCn88n1p7YtbtuX0PqbhoKhRCJREp2Js5kMkin08hms+B5XrS3d4s4URJpbmo97ks47cBa\nrSPuv//9b0yYMEH8F4/Hce+99wIAlixZgra2NvFvq1atUp0DFhnReGHU2zprlhiRn5e2uFoBNXYy\nq0hVyxxI012VvEOMzKm0vodujtjR0aHpuWp3tFp2OuXq6sABIJ854mqFKyMAy0VF5ILEP7QN4HvX\niHiiUXj++gj46V/XNR6tmBU5qbWFjUZB6NzR76M0ckK/nz6fz9FOJyWYyKweJ83IjDjiHnbYYaIw\nKRaLGDp0KL72ta8B6Pk8L1iwAAsWLNA0jpoWI0DlL5C0hoHubWHXuJRSJFYWxtIIjNGN/LTC8zyS\nyaRqussM9AgeoPIcS8VJIBDotWBIxUndG08CHtndY06fx4hvUDMKe/978PyBAMhnIX0tcF5vSaoG\nHq+iSLGKWkvrmIVcnAAHjdek4sSpuZO3GefzeVPquWoRJ9M0UkdcAKIjrlSMKDni7tmzR+xwAoDV\nq1dj5MiRJWZ1etaqmkvTSKn0paUhfer4qUeI/H/23j1akrI8H33q3pd9mRmY2QOMCiJGMGSYH84C\nc1QQAorGCUfxFhUCEj2TlQNGjbCWB5bxOv6MSQjo+gWDBk4i4DUCwVFIcLwjyuANEtSgB4aLP4W9\nu7vu9X11/qh+v/6quvretXfv3f2s1Wvv7q57V9X31Ps+7/OOQhpWM0VCoGoZVVVHauTXD4jgNRoN\nzM3NDSSKHRRRFKFWq4n9KsK1tZutuCAihgll85bc+dVt26Fu2z7UutWFljW8Yo2/A3UR6DetQymw\ntX7inrQIzaSmxPrxGJkhHzGUVXtlked2e+jQoZ7TPPLII6lpbrrppjbX3auvvho7d+7Em9/8Ziwv\nL3c9BlMXGelHMzIOI7FhyEi3UuFRlttrna7rgjEGy7J6egQMgrxt7ccwbZDldYJsQrdaZnCErK14\nJ6iHbwOk/VG3bQf/za9zp9W3bssVwqbWW6kidmyoZam817DyoyDl8f3Oo6JT5IR0EtQQcRY5aUe3\nqFMURamS9XEfuyxJazQafXXsnaEdRTqwfufuu/Hdu7/X8fthHXHl+YIgwK233prSm+zduxdXXnkl\nAOCKK67AO97xDlx33XUdlz91ZARI+1+Mc7DMroNz3vf0/aYSxklG5H01TbPwXi9UhVS0N0q/HYvX\n0vhMOXx7vp5j2xHgv36s5/zq5sPAn0qcWtWFRfDaSup7pdJONpRtRwAxB2rJE4px1w0IX3z+MJtf\nKGiABZJz1DTNWVqniV5Rmiw5yetMXNSxm0VGhkeRaZpTTv19nHLq74v3V139sdT3ozriAsCXv/xl\nnHzyydi6teUkvW3bNvH/xRdfjFe84hVdt3Pq0zQ0GNGTdK1WExqG1TIkCoIAKysromS3aFKQt69F\n3Mzp+JIWhaqQZBOzcYM6Jeu63lfH4iKhf/8WYH5T6wMv8QjpREQI6rYjcsWrypakCkepJr0/1M2H\nteZZ6NzJFwCUpaPaPyxN9lMsDbxrXa0zaWmaQZCXQiRxrO/7Ix27vMjIjIwMh7VM08iOuEEQ4Oab\nb8aePXtS0+zZswc33HADALQ54gLAjTfeiNe//vWpeR57rPVQ9cUvfhEnnnhi12MwlZERAg2WeXbu\n41p2N5DfRRRFfTfVG/VpvlMEpqgoAWMMjuMM3cBPRrdtlFNrgzYoLHqgiRcPg+Lk96TpBGXTYYiX\nB+tR0zc2HQa44y3vXU1MqyB2HNdnNoWYFzkZ1lPHcZwZGRkSa1lNM6ojrm3buPPOO/GJT3witdzL\nLrsM9913HxRFwTHHHCOW13E7xr9rkw95UCOxaNZ2fJzryMMoXXaHvSmtVvUKkG6/XrRmg8ikoigj\n9+gpFKUy4so8lLD/SpgsKCrSBi25lEV6plQWkRgc3lkcq/74DvATzxp6eyYB00ZOxrnt3chJr7L1\nvMjIODVn04Q4Xtvz8ZxzzsE555yT+uytb31r6v0111yTO2+1WsVvfvObts8pktIvppKMAK1mYIyx\nwqpHihDHDnMj6idqMM7ICGk24jguxBJfRhAEsG17KDI5Su+cvpbPWaoBVlzp3lodcrMs3UjSOfWM\nAt2yAD8nxVOdA+ymj0kpbZIWawYUJrm9coZ4fhOUMIASRf3syrrCuMlJtoR1I2MQcpKtdJppRoYH\nx8yBdTqusAx83xcaDU3TCiEieTe3cZbs9kscsuss2ieF9C/UP2OcN/GsxoecUOfn51Eul8dKKkYl\nZuqP78j9fNCoSHxYl5Lf6hA3/qZqX4m6W9GvZ51EFmutORkX1uI3ydOcyOJz13Xxve99D+9617vw\nX//1X30tswi3z/WOtdSMTAqmMjLCGBNpinG2pZeRHTh7lewOstx+MOg6B63+yVuf3ODOMAzYtl2Y\nDoWqgBYWFsb+1DqOKJHqtxracasMWOXUZ2PDwiZRHZOHeEtL0Q5NSzXliw0z2bYJRVGD76CRk0kl\nJ2sBMvxTVRVBEKBSqWDr1q3YsmUL7rjjDvzkJz/BP/7jP+K0007DaaedhnPPPTelwSvK7XO9Y5JJ\nwmphKslItVpNdRwtAjSgDer+OciyO92oi1hnNxRNDrLrqtVqhZcHjwpWSSzbNafWeZrNTaKg4qAx\n/QAAIABJREFUqNB+27mcNz5sOxS7Vbobb9oCZVmysl9oVuw0UzVxqQzFc9vSNR3xwNeB41/U37Qb\nEP2QE3qtpeZkEqNVqqrimGOOweWXXw5FUXDFFVdg69atOHDgAD7/+c/jla98ZWr6It0+1zN4PJVJ\nihSmkowQivaZ4JxjZWVl7ILRbts9rEi1CJO2cTcLDIIAURQV7hC7GogOOxIKb+k12GFHQHsq3/As\nFx1SNPGmfJdXWTcSbt4O3U6iKWrgIaxuRuj7Q3Uk3ojIkhPHcaBpGjjnG1IQOwzyiFGj0cCmTZtw\n6qmn4tRTT82dL8/J8+677+45zSOPPJIiI3lun+sZs8jIjIwUQkZIMApg4DLTUdaZTZMUidWMvkRR\nJCIvpEUZB4oSsMYPflvcWsKFw6H5tkjRxIaJaG4zFNYuHI0OOwJ6lwgJAMRN59TYMIX+hM9tgtro\nbrVMCDcl0ZiouglQFGhekqZUlKQjsed5UFVVRAemcaDNglITdN6tVbXOJEZGZPQjYC3K7XO9Y0ZG\nppSMZC+IcV7kVLJLN64iSEGWREVRJBpoDZsmGYSYyWXJRZYIZzvt0rqLWA+1Zi/6Zt+JiIjvDzsC\n+kp7mRzbsh3ak4/3vZ64VAYvVaEGvRviaaGL+OEfwzz2ZHEsPM9DFEUIgmBo34mNimkrJc5D3j2z\nH5+Rotw+1ztmaZopraYhjLv6gpq/keqcPi8ClMP2PA/1eh2lUqlw19i8fewlih12/6k82Pd9LCws\niBTQuI8nNdIjq3oq9x53gzZulREsLvWeEEC0eHju53Ef/WR4uXP5cLi4LV0+jGaEBADTW12hiXBQ\nryI69kRCHceB7/uikV1RmJRIQD8W7BuhWmdU9BMZKcrtc72DQ1m116RiKiMjMsYRqh9XP5t+QZUv\njUZjbGmSXgO97FJb9D6uRuSFIgCkd5HdeMMwFE+62SfcfqBGzfSJ3irdjkoLI28zL89DdRMnV1ZJ\n7N/1lf/dfR7T6is6ogdO7udETuj8ouNGUZNRHDs3KoqKnEwKOQM6a0Z6kZGi3D7XO2ZpmiklI+MS\nWfYr4By7JqEZoVgNJ1VgeGOxQcuFV6vTLuld4jgWvTrCMEw1aIuiCJZlpayy5YG5EzkJfvVjKOVN\nMN12DYfKOnuMxJmIRbjlCOiNp3rvy9wm8Te7jNR2LSQhbVUSzVLH4LC0AJWFWH78YWza3r06IY+c\ndDLFIp+ZSRlA1wrTktbxPK+vrr1FuH2ud8zSNFNKRmQMS0b6EXCOO61AJIQxhnK5jHJ5fB4Redsq\ni2Ln5+cLrWCRO+12i7yMejwp6mKaptCJxHGMMAxFUzb6XB5EKCJAFve+7+dGBGIoUAD41cNg+EkU\nw5/fBi308jcop3V4rCWDlr/pCFjLaUFruGk7jOXe2pFoYSvUZrSDm1bH6RQWAlpC+vQuZKnj/H30\nOlnvA+24HyiGJSeTHhkBMDVOtePGWtvBTwKm/swZhjD022V3nGSEtA1xHMMwjMIv+iiKsLKygjiO\nsbi4WCgRoeNJnXY77dsoN2KqcCK9S6VSSXnB0DFljIFzLlIR9D9FBEzTRLlc7qilKAKDGpORboSb\nHZ5SMxEUjQUIrHmY0ejbn+fYOa4usRsV/WpOitAyjROTul3rAWvtwDqsKy4ALC8v47zzzsPxxx+P\nE044Ad/97ncBAE8++STOOussPPvZz8bZZ5+N5eXuFX9TSUaGTdPIFuRzc3NiQCsSWZFqtVqFqqpj\nv/DpOMjrK5fLI6WBeh1birwUfTwp6hIEARYWFmCaptgu6tkTxzF0XRfHwDRNKIqSSkEQOaF9yyMn\nWURmu+g01nR4c1vhLhwBZ+GIrtvub2r/nvQiABBUNov/wwF1Kd7cVhGF0SMPgd4iL+M6v0YhJ5MU\nCVhNdCMnVDm31oQu+9vQNkzj7zUOsFhZtVfbupuuuPv378f999+PG2+8EQ888EBqGtkV99prr8Xe\nvXvFd5deeile9rKX4YEHHsCPfvQjYWC3b98+nHXWWXjwwQdx5plnYt++fV2PwdSnafoFeV3out53\nl91RIyOr7aQax/FYRbHdMKxr66DHU07LkLiOoh/lclnc4H3fB2MMiqLAMIw2K3C66RM5AZBK5RA5\nkYt2neo2mGG63YAztwSVR1DilpbGWTgC5UZvwzNmJcSGm2WoQf/W8nKaiKs6VB7BnVuCAg63vAVm\n0BDTNg79AnNHHSv2b9zoltbxPC+VopiUKMBakyI6xyhCp+v6htScTDPWMk0ziituqVTCN77xDVx/\n/fUAIMZHmufAgQMAgAsuuACnn356V0Iy9WSkn6f3YUWVo5AREo3miVSLKnGlm9q4RLGdtnMUQWy/\nyPvdKCUje4pQ9INzjlKplBCKKBIlviTEpBcNkLQcmZwEv/4VTB61CUmJCDhznUt7nfkjUKnnG565\n80so15/oe99l5KVqnOpWKHGMGCrUmCEw56DyCDrz4ZqjV/0MApmcWJaVOqacc1FCTL/DanjBTDom\nQRCbFxmZ6UWGx1pW04ziiqtpGrZu3YoLL7wQP/zhD3HyySfjqquuQqVSSVn4Ly0t4Yknut/DppKM\n9Duw09O7oihDlbMOa7Hej5PqOG3WKVUBoC81/CjrWg1BrFwtQxEeegKnmyj9NpSLr1arIhIkP7VH\nUYQoiuC6LjjnKWKSJScA4JQ2oxy096NpzC1BZ0G6miUDZ/4IlJ3elQKhWYUlRUbkVA2QiGcBwAj6\nbwIZaRZ01rsEuGjIA63ruuK3YIwJV+OsaHhayEmnAX8tyEmWjHiel5umnKE/FBkZufd738DBe77R\n8ftRXHGjKMK9996La665Brt378bb3vY27Nu3D+9973vbpu21nqkkIzI6VZGMq8vuIKB8MAljuwk5\nx0FGsqmSlZWV3jMNAHk7aV2apvWd5hoGclqGqo3oKRtoqf0ZY3AcB7qud4wEUcome5OPogiO44ib\nPBGTSG0Rx1BviU6ZUep7+93K4bmExJ1fSqVT/LnDcyt0sroRt3I4dNY+XawoUDLnkG9UYTAfTz7x\nKKy5xbZ51gIUOckbaIMgqf4pkpxMQppoUKwWOZHn6cdjZIbOyNNyjAs7d78IO3e3GmF+6uMfSn0/\niituHMfYsWMHdu/eDQB41ateJQSwS0tLePzxx7F9+3Y89thj2LZtG7phauNqdCFlB3bZ+XN+fn6g\nNELeOvq5mXUSqY663G7wfR+1Wk2kgWh94775ErGr1Wpi34o4nnnVMgBSaRkS/pJw0rIsYXjWD+gG\nXy6XMT8/LyJXsiEcANRLaQdV11r7gZ0IkV3tfkMAgFApxt9lUORpNWRxZ6VSQblchqZpInJCLrph\nGA7kcdMLkxB9GVa7UoRDbHZbGo2GcJ2eYXCsZTXNKK6427dvx9Oe9jQ8+OCDAIB///d/x3Of+1wx\nD2lJrr/+epx77rldj8EsMiIZc3XTaQy77F4XNpEfOaVQJKgiKIqiwr1DKH3heV6h+5bnUTJIWmZY\nqKoK0zRhmiZ+/egjuRdTrbwNBve7enjESno7GnPbUfZ6N75zKoej0oyi+KVFWF46shVmKnmIkDDV\ngMZbPX7UmIE3t8HXKzC5B2B8HjZFgX5X2Qsma8IGoC0KMO0oInLST1+aGTpjLQWso7riXn311XjD\nG96AIAhw7LHHiu8uv/xyvOY1r8F1112Ho48+Gp/5zGe6b0dxu7g+QGTEtu1COt52IyMy+RnkCX3Y\nyAhVBBmG0TFVMq7KAUo5AcDCwkKhaZlGoyGOIdA9LTNOge6oiHMMz5iaXJK16hIW7LTgy65sRdXp\nbv/eDY3SYdB5utFgDBUKONSYARyI1CQq8mSD46jJ5yMp5JGTrFFdPy6604ZhyEleZGRGRoZHkWma\nfjCKK+7OnTtxzz33tH2+ZcsW3HnnnX1vw9SSERrQ6YIzTXPojre91pFFvyLVQZfbCf1WBI1jgJb1\nNqVSCUEQjG3gl/db3ic6hnnVMuSu6nkeSqVSYRbzefD00cPWkZ4WBWajHVm45S0AACuowy4fBit0\nEGkloRuJVEMQklhR0LAS8WscKygxGzoP4GrzMOEDWN9h9zzr+n5cdGWsdVmvjNXaln7ICQDhu6Oq\nKmzbnqVpRsDMgXWKNSNyFQk9LY/7KSmPNMjOpgsLC2ONwuSBc456vY4wDIXh1yDbO+i65E67srnY\nOCHv0+LioiAiFBHJpmV83x+p183Zr70n9cqDq6RvxDXjsPxtV3XUyluxUlnCSqm7fqNWbS8Flo3J\ngCRV45cSTQr9zUOk9RbROlpL/BrEG68yol8X3dXoSLyekKc5AZLr8Ac/+AGOPfZYfOxjH8NPfvIT\n/PSnP+163EZx+gSSCOeuXbvwile8Ynw7OAGI49V7TSqmNjJSr9fBOUelUhFlreNGpyf5SqUyUhlc\nv6Rh2DTQMMiai5F/x7gRxzFWVlZWLS2TRz6yn338b46HpXI0tE0oxWlLdYMn51akmbC1RahgUND6\n7VZK27Dg/7bndsjVOeMAUw3YerI9MiLVhBH7CGHg0P+28bSl+bGudxAUHQnoFjmhaBqlJMjrZC2j\nJJMSpSENiWVZOPXUU3HgwAF86lOfwne+8x3s2bMH9Xodp512Gj71qU+lUjfk9HnnnXfiqKOOwu7d\nu7Fnz56UuZbs9Hn33Xdj7969wl4cAK666iqccMIJqNfrq7rPRWOt0zSTgKmNjMzNzWF+fj7lslkE\n6AYnRyfGUY/fy6htGNv6YX1R8nq+jBtE5gCIfQLyq2VkEjbs9nSLggwDW+sctVixtnb+rpKOjgR6\nGY1SftRFhm+mSYRnZCI3+pbUe0WJoYIhUEoIleT8DOJio3aThrzICRmtzSInacjE6BnPeAZ27NiB\nvXv34he/+AW+//3v45WvfGVb2kZ2+jQMQzh9yujk9Akk5aS33347Lr744g137ONYWbXXpGJqIyNU\nDliEmymBxLErKysDu432Wm4nDGuzPgx6ddod17GV1wMglZYpolpmUBJiqGlRaKC0UiKhasHBHHRE\nbVEIGSvWVsyFT+V+lxcV8Y3+xIK+UYEVOgjUUrNKJg0ea1CVTHREui2QJmAaISz+owjlcrmtUoeO\nTTfNyTgxKZGRvGvatm08/elPBwA8/elPF//LGNbp89ChQ1haWsJf/MVf4CMf+QhqtXZTwfWODcat\nhsJ03mUkFEVGSMjJGMPc3NxY0yTdjNryvENGWW4nUKddwzC6dtodFWEYio6+cm8ZejKlkDGRMCCJ\nnKwWEcmijnQExEH/FQYNY3Pu504Pi3bb3NR1Wb6R1pnI5mzdEDATDz6eRNmK8O5YbyADNrnpH+mQ\nKBrnOM7UdCTOVtPMz3dP6Q3r9BnHMW677TZs27YNu3bt2pDHdS0b5U0KpjYyQiiqzwu5jcqq9KLA\nOYfjOGCMrYp3CBkk9aoEGuXYyuJTWg8NhL7vQ9d1QTiCIBi5WmZYEvI3HzkJQCP3u0ApAQXdNxv6\nJsxFaS8SIiXlsHs+vaZsho4IDBq0DtEahhaZK5VKA1WgbCR0i0bIfXVoWoqc+L4PzvnYbNgnfQDu\nx2dkFKfPz3/+87jllltw++23w/M81Go1nH/++cKIa71jktMnq4WpjYzklfCNChpA6/U6yuVyYaJR\neZAPwxC1Wg2KomBhYWEkItKLPDDGUKvVwBgrtBKINDZRFKWqZTjnsCxLkL16vY56vS5EwatNRACg\npPmwowoarL2s0eFJekVXOvejiTOX4LKxFaHWrilaMQ5v+0xGXnSE4Ku9xa8r0SLqfD61H7oaIWD6\nmlWgTEpaol/kRU7o3CXX30GdTvPWsdbI+11s2+5JRoZ1+ty+fTs++MEP4uGHH8ZDDz2Em266CWec\nccaGISIAwOPVe00qZpGRMV3csq6B3EaLCtXK+ohhugkPA9/34TjOUL16BhlUsh19gXS1DH1G/WFI\nuEo9fehJtd8n9lHTMg6zYKgMVS1dRUNEpBPynoRIq7GibMFi/GTb90FGO9LQN0FH2DadayThck+t\nosRtBLEFU/E76kaysKMKLC1xLzVUhh89rOF3j2Liyb5TBcpa6CgmGasZOVlNdNKM9PIZGdXpU8Z6\nOE6DYMIDX6uCqScjQGtwH/YEzw6gnfrejAs0MJPPxrj0Gp20KMN22h2UsGTTMnkmZkB+WobKLzt1\n2M3e6MdRKfOBfbuhK0npbi2cR1lPBnp/TB4d2QiJq1RRjvvvxJuHmpJoSaJYFxGb5WhTqtwYANyo\nBF1Nvg+YBsYCUapNxzJLTshXJivyXI8DLmGc0ZksORnEhn3SokR5kZFemhFgNKdPwmmnnYbTTjut\nzy1dH5hkLcdqYWrJiHwxDUsaeg3URZARIj4ACjFqkyF3ES6y0+44essoSnuHXSIn5CNDA8EfvumH\nhewHwWNWW4UN0Bz0FfKdUbBJ79x/ZkXZggqS3zmMB4t62fEcSkpCjDy12lW3UmOdBxCPmdAVDlNj\ngmgQOaSBlAZQmZxsxGhAEejXhp3KiydFN5JHjBzH6YuMzJCPCflp1xRTqxmRMcyFLjupLi4udo0Y\njEuPQvn5oi56Og7k6SF3ER52wOh1bLNVOVQZM2q1DDWxq1QqWFhYwNzc3KoQERmmkhCSKNaxHLb7\njCxHnXUeeQhjAzWk52nw1rngxO1h8rCHVwjj6eOoKDFUhUNV0lUz3/y5CcYYNE2DZVkwTROGYUDT\ntJRRWBiGqbRaJx1FtmMsVepMyoC7FujUXZeIHIBUVdMkHSvf91e11cJGw1o7sBbhjPue97wHO3bs\nwK5du7Br1y7s37+/6zGY2siIjEHIyCBOquN64pMjFOQdUtTTJJEeEqkW1Wk3ryqnn7SMYRhD7ftL\nX/+DsW7///O+58PSXDTCEuZNFwCwEszB0tojIo2o2ja4E5ajRWzSV3K/W4kWsZjzna+061HyiAgA\neNxCSfWFbqQb4lgRkRsA0BUOlxkImQZLSwii53kiNSOnwOSICRGRTmmdTqkKucvutHqbyJAjJ4wx\neJ4ntGhr2ZE4LzJCDw4zDAfG1y46WJQzrqIoePvb3463v/3tfW3H1J49w1TTMMYGdlIdtbw1G6Gg\nC76IsC2tjypzxkFE8raTjqNcldOptwxVapBId1g31XFDVQA7TH7/epAvVg1iA8th7yjWcrSYMhqT\nsRK1R1RqUXqZMhGh/724vRdNjS0g4K1IyW/9VpQlRv5xNdSEUPhMQ6VSwfz8PCqVCjRNQxiGoqLJ\n933EcSye7E3TTBEVipxQczXZvp/mqVQqKJfLYsAFkvD/WnqcTJJWg1KRecfKdd0184OZpAjNesVa\nRkaKdMYd5NyYWjIio5+bDRmKUTqh34F6WNKQbTo3aAXLIJCjFIZhjJSW6YUgCMRxlHvYTKqJWSf0\nUyLnRL2b0xEa0fAdT3mcfxnnEZJeWPGrqAUV1IPWvIaWEIOvP6iLqIhlWahWq1hYWEC5XIaqquK3\nbTQaCIKgjZzQbyjrIoicABDRE5oHSKqnVFUV1VPTaseeJUXZY0XkRD5WRZGTTgRtUkjbesRalvZ2\ncr3tdxpyxs2LjF199dXYuXMn3vzmN2N5ubNGDpilaQB0JwyUtoiiqHBDMUJe07ksxmm1bts24jgu\nhPDI1QCrmZYBiiMiBK2Z0giZ2nYlrQRVGCqD3iE9k4flYB5zhtv+eTiPTUa7kZnHBycbre2TGphx\nDZrKUAtaTq2KAtihiYirMHUGXY3hhu2EUE67WJYlIlwkHKZmhTSN3MmZBLBETmh5chqyn0Z2szJi\niOtHri6jY0W/hZxeG/exmtbjPi7wAtM0Dxz8Gv7zvq91/H5czrhf+1p6HXv37sWVV14JALjiiivw\njne8A9ddd13H5U8tGemnmobMtQzDGLqaZFA9Sr8t78dBRsIwRKPREB1wPc8r5Gkzr1/OJPWWGRSX\nvvuFANJGZit+CWUj+cyJ+hPyyamRiHcPUmaFqLVoHmZOxU49rAhCE/Lk8ibdiM8MWFqYStX0AzfU\noasxDI3jqz+1cPZzO2tP8qppqKrJ8zwwxtpKrkk0na3SASD6R62Vx8mkpGkG3Y5ux2pUIpfdlmnu\nXzQuFGlG9jsnnY7fOel08f5fr/+r1PdFOeNu27ZNTH/xxRenxK15mJ1BaB/YZSdVqgAoqpqEILub\nLi4uFqpMJy1Go9FIdfUtSoeSjfKsx7SMDEtPBmYZRER81nug72b9TBELIhIEu0fKpx5W2j5zo5am\naSXMd8cMm9U0y36lq9eBFyXTRQM+wZHOoVwui07ZpmmKFgb1eh2u6yKKIlEBRXoUWUsUhqFwLpXT\nOuRv0qlXzKiOpxsF8rEat5Oubdsol3u7/M7QGWupGSnKGfexxx4T83/xi1/EiSee2PUYTG1kBEib\nnclPYuTjMS5DsV4X9jDupsMShyL2Lw9E6DjnqFQqKJVKPdMyVDI6qWkZGU6QXDrzVjo64YY6TL29\n3wuPVdSaOoxNltP2vYyVYA6VpoFawDtforWwigXD7klUhoWiALrKwVhCRNxAg6VznP3ae/DVm3cP\ntcw8bw3ZD4bOadJCkABWjqTNPE5GxyiRk2zlTD9W8DN0B1vD/pNFOeNedtlluO+++6AoCo455hix\nvE5Q4il+XCCRnRw+dhynzUl1FNTrdTHIZiHrUcgHY5DlmqbZV0UPoZNTLMH3fYRhOPKNRU7LEBkh\nv4RsWsbzPERRJCo0hsFqkpC3/uVpqJa4iIzMWyFCpqJsRHDD5PczdSaqUACg5lvQlBjZ02nRaulD\nKE3D4uQYZMlIwPTm54GYx2NmRzIyZ7ioBVWU9SSlQhEbSwux4ldgaq3ts8Pk3NRULnQwhDhOts1n\nGsJIQcQV+KGC//U/v56ablhy0lpP0r/F931YliVICoC2tI5MTrLCTLmMOG8dFJWTyYysocheE1RO\nW3Szy16ge9Ug1/soyGpO5BQY3SvpnvaLX/wCf/M3f7OhesWsJhRFwbV3rN4w/JazJsdAT8ZUR0YI\ncRwLw6Zxi1R76VF0XR9KjzLI9LJTbK9Ou6OepFnCQyW8BBokGGNC3NhJpNsPVpOIAEDJTA9+Nc9E\n2Yiw7FmwtHRE5Em3DF3t/MjzlFfB5lJ+lGTFr2CxRwQF6Jy+aYTpsLkXGSjpYV9pJMKyayKOgbLJ\nkv3QVUSBgpLZfo5kf4dByAmdn3EcY35+XpwjNCBGUYQwDOG6LlRVFcSExM2dPE6IXAzqcbLavh2T\nCDlykrX555wjCAI4joNrrrkGz3zmM/tK0+zfvx9ve9vbwBjDxRdfjMsuu6xtmksuuQRf/vKXUalU\n8E//9E/YtWsXHn74YZx//vn49a9/DUVR8Ja3vAWXXHJJEbu9ZliDqvWJw1STEUVRRIpAUZRCLM/z\n9Cj9mqYNstxOyBOPdlvmsMizxqcoiO/7Kav29ZiWAYALLj0NjMfQ1OS4d9N+POm2bs7ZaIOMp7wK\n5s385nUrfgVlI0h9tuxXUmkeFmvQlPy0EJDoRgLWHnEKmCaiIxFToGvNNGWsQFNiLLutSJ4T6DD1\n5G6pqzHcoPcg3S85IVKq63pbtE4eEOVKHSIPcqUORS+InMgpHVqPHDGhdBGljEhEmyUnhLUmJ2st\npJWJHGMMhmEgCAK4rouPf/zj+M///E/87Gc/w4tf/GK8+MUvximnnJJ66BnFWMswDPzt3/4tTjrp\nJDQaDZx88sk466yzUvOud8zIyJSTEcdx4LouLMsSN6siQKSBvEPiOC7U3ZQwjBZlWB1Kp2oZ0zRF\nqJdIXxzHwntiUkzM+gFtqixeDZiCgBkoGa3PnnIsMbj3g2WvjE2l9pLebvBYe9rPDi1UDb/5v4lq\nhsjkYcVrJ8NPOabYV0UBEMcIIhV+qIj9/L/e9aK2VE035JETinZYltW3geAgZcTU00UmJ7KQVSYk\ncgRFJieke6IO0UR8prmMGEiO3ZYtW/CBD3wAX/3qV/H9738fL3jBC3DXXXfh0ksvxa233oojjzxS\nTC8bawEQxloyoehkrLV9+3Zs374dQCJuP/744/Hoo49uLDIyeVmTVcdUkxFqAEc3tCIgizRt2xZl\ntKPeyIrwRhlmm2i/iPAASOXy5YHBtm0RZieRnDx49HODXysiAgCWAUQMaHga5krt0QgAsIPWse6W\noiGQDfSyV8a81U4e8ojKsl9BSR/ufF3xSyKdlI2YMK6i4etQECOOW+SLoKkxGp6Gkslhe6NFCeTf\ncVi9ybBlxEC+x0nWtl4mJ9kePKvtcTJJduvZKI3jODj88MPx8pe/HC9/+ctz58kzzbr77rt7TvPI\nI49gaWlJfPbLX/4SBw8exCmnnDKu3ZkITKKGY7Ux1WSkVCqJgbPIk4HEZ730GoOgKC3KIJ4oeWmZ\nvGoZ+QlYjobIgwc9gWYHD3n715KInPenL0q9b3gaqlZCNihasOwaMPqMiPCcFM9TroXNZT8xUZNA\n4tVOqAclkeqRoyNZeFFy7vnNXjPDQNdi1B01VzcyLEbRm8igMmK6xuTzizQp2Z46WY8TIhwAUuSl\nSN+O9Y5Go4FqtbuD8LDGWvJ8jUYD5513Hq666qoNV70z4yJTTkYIRfhrABAlhYqi9NRrjAqqRnBd\nd2gtSr83jEFMzKhaJs/ELDt4ZMs8gSSycu6FPx14X8YNw1AQMcAo+IqRiYjfjFw4oYGKkS4hXvYs\nbCr5cMLk2NWDEtSmNoV65hDcUBc+KKlluCasphYkYgoavgZdS8zYFHS+HgwdqDsK3vR/n4b/9+oD\nQ+xldxRFTjqdX7Iglh5MaFoiHFQW3M2ATdabbOQy4mxkxLZtHHHEEV3nGcVYC0geaF71qlfhjW98\nI84999xx7MZEgQ33bLChMCMjTYyTjMRxLAR2lLceNxGhXDjQsnTnnI+kRemHlPVKy2SrZVRV7bta\nhkyvSL3POcc5f3zvUPuyGlhxNJQtjmVbg2W0jltWL7LspqNhmyvtzqmERmBgzkx/HzIWsam1AAAg\nAElEQVQVK8zCYql7110CRV3s0ETE8o+7nyNq7YS6q4HHQMVqpZ0MHXC81XmcGxc5kc8vIE1OPC+J\nLMlpnzAMYVmW6Jo7SDficXucrLWAtRts2+4ZGZGNtY488kjcfPPNuPHGG1PT7NmzB9dccw1e97rX\nCWOtpaUlxHGMN7/5zTjhhBPwtre9rchdWTPMNCMzMgJgvH0VSOzGGMP8/LwI4xYBKkm2bTvVeK6o\ndY2alhkEiqJMDBE5709fBLPJJ7Qmp+w0yMtYdozmPOk7zVOOgTgGNlXydR/LrolN5Xb9SDZds+xZ\nMLV2XYrta6ha7Y9ay66Jstn9ESxigC7xlJrTemN7KhhPnuIMHTB0Bf/nm1+EL17Xv5B1HCiCnMjR\nECIPRM455z3LiGl5/ZATartAxIQeWCaVbMjIe1hxHAfz8927U49irPWtb30L//zP/4zf+73fw65d\nuwAAH/rQh/DSl750zHu3dpilaaacjNDFTzedUZ8+ZGKwsLAgbl5F6VEoXdKrj02/6BQZGTQtE4ah\nMDobBmupDekEz49RshTYnoJqqdkgLwLKOdmwiCloeCp0rZ2IyFh2dMx3EMLmEYeaZ2ChlE9sbV/D\nfKmzqJUM2dxAQ9lkWHYMWDqHH6mwdI5lR2+P6Nga1A6Xg+snpMUqrmtB3xgHOSESQQSDnvSzZcRE\nHvrxOJHLiLOVQLLHiesmAuVuHieTFhnJpml6RUYA4JxzzsE555yT+uytb31r6v0111zTNt8LXvCC\nsXYdnkQwNmMjU01GCKNe5LJ3SJYYFKFH4ZyLp7eiS4Sz5cFAflpGLn+cn59fN94hvfCSP/4/wDhg\nmZKQzlVQav7ENVuFKaVolm1toLLeFVfHYnmwyhjqEzNuyH4jTzU0yOOhqgAccmQoIWgFV6cPhWEq\ndWTjtWq1Ks7rfsuIsx4nshCW+u7QC0jb4nfyOJHJyaQgjxRRj6sZhscsMjIjIwJEGgYdRMk7BCi2\n1wuBOu1SaHecNyqZOK12WgaYPCICAKbR/feUiYhc7qr38bOQtuO3DR2LlfYISc3VsZAhKjXPEAZk\nyXsdC82ISN1rv5ztQEM1E2Fxg/TG/bpmwNQHuxvqGhBFgOfFa5Kq6Rf9RE1Ic6VpmmgamcUgZcSy\naymQX0ZMkZNuHidZsW0QBKLMeJKiJLZt90zTzNAdfCYamW4yknV7HDSC0avXy7DLzQMZMPm+L55C\nKLw7blBahnxYaB+mKS0DAC/Yk3gZkF5EUVpPMA0nnaJYsdW+CAiQ/xS04mhYrLA2LUrN1VE280PU\nXpiQH9tvX7Hta6kOuyuunjJmyyKIFEFIfltTRQSEx+iYqtF1BWEYIwjWTwg9e67d/i+74DjOwES6\nWxkxlfL3KiPu5XFCEVbyDVJVdc3LiPMe2BzHmUVGRsRaZ6GGter3PA+nnXYafN9HEAT4oz/6I3zo\nQx8CADz55JN47Wtfi1/96lc4+uij8ZnPfAabNm3quA2T4aIzARiENNDNgS7CbiZm4yAjjDHR42Vx\ncVGEhIvSotRqNViWlcqbU1txulnKFTyj9POZVCICAKapgrEYrhfDD2LYTnK8ZX+8uq2gbo9nIFiR\nxKJhF4Fs3c2YlXWxpQeS6AjQIi+0Hj/qfvlnb5B1O0bDSY6D61F33WTdL3vjC7oua1LxsjccxHl/\n+l94xfk/wkte9/2hl0PkpFwuY35+XngKUZfser0uIihkb2+apoh0ENkPwxBBEKRSoUROaPnValU4\nKpNOzXEc+L4vrtPVxKxr7+jgcbxqryzIqn///v24//77ceONN+KBBx5ITSNb9V977bXYu3cvgMSr\n66677sJ9992HH/3oR7jrrrvwrW99CwCwb98+nHXWWXjwwQdx5plnYt++fV2PwVRHRrLo5yKOokiE\ndPvxDhmVNPQTfRkHKC0DQNxIpzEtQ9j9kpOh66Qb6L5/so+drBdZaShQVSXlZLpYHewRKIgUBJGG\nipU+h4hYAIDrq8IRtps7bB5kAgQAv11RkccrVxrt57DrchiGAkNX4LjrJzrSDWtRRpz1OMmWEVNE\npZsB22p5nORFRsIwXPOuxusd8RpePqNY9S8tLaFSqQCAINGbN28W8xw4kPgQXXDBBTj99NO7EpKp\nJiPZNE03ZE3FRhmE+0GeZkPGOCMjcloGQOpJrYi0DDDZRAQA5ueTQSRLROp2jLKlIAhjBCFgGunv\nI6bA9YBOHHXFTr5YqOTffVYcLeXnIc8nE5kwUmD00Hm4vopyZlkyiekGxlti1adqccf98fwYmppE\nSM447/n4j899p6/lrxcUXUbcTzdi0oxkheOr5XHSDyZJw7IesZbVNKNa9TPGcPLJJ+MXv/gF9u7d\nixNOOAEABFkBgKWlJTzxxBNdt2OqyYiMboP7KKZiw5AGmRx0i76Mg4xkq2XCMGwT2QHpapm5ubmh\nhbqTTkIUVcX/OOMkBEESDfIDjihSUCn33t+6HUPXWjflboeo5qhgDFicy/Ft8NVcQgIAfph/0+8W\nEak7KsrZyEqgoGTG8IPu5bkr9fbtU9UkhaPrCliQpLBUFSKStJExrp46/XQj1jRNEBASiHYqI5ZF\nsEV6nGQjI5NWcrxeUWRq7ZcPHMCv/rOzwHxUq35N03DfffdhZWUFL3nJS/C1r30Np59+etu0vdYz\nIyNNdCIN4zIV6+eilZ1be3XaHUc5craZHu2/7/silw1s/LSMksMaNE2OmiUvluEHclTEHdCNlOyf\nn6opmK+2z1tz1LboyYqd7glTd1TMS9M0PE387XRvW2koKDW9Ubwg/Tv+76cSsW4UQaRq5AhJHjQV\niABB3k592W589/bJ/J3HjXHa1me7EVO/Jromyc25UxlxkR4nMvLuYzNCMjqKLKZ5+nNOw9Ofc5p4\n//UvvT/1/ahW/YTFxUW8/OUvxw9+8AOcfvrpWFpawuOPP47t27fjsccew7Zt27pu58Z/lOmCbtU0\nlCZpNBqoVCqoVqtDO4nS8rqByIHneZifn++pDxklTcMYQ61WA5CcQEREGGMol8uicqder6Ner8Nx\nHJRKpa7kqBcmkYgoqpoiIoqq4PdeeCJUiYhozVIS22kN+nU7TRJqGT3FoEEjEsBmK2mCqPOxJiLh\n+t1XRt+7fvuy/HaT1xSWc6IiAFCrczRsjlo9YVS6rkDXVfg+g2Vpbcd1WnD2a+9JvYYFpUPJPHFh\nYUGQFM/zUKvVYNs2wjAUVTelUgmmaYrKGhKdB0EgeuwQqIS4VCqhWq2iXC6LKIzruuI+FIbhhjcb\nmxTEPF61VxayVX8QBLj55puxZ8+e1DR79uzBDTfcAAApq/7f/OY3WF5eBpBUd95xxx046aSTxDzX\nX389AOD666/v2VNoFhlpQh7cSQEPjMc7pNcATp12ZefWfjHoUwmlZUj3ArRy0XK5IqWmgERo53ke\nfN9Pie76We+kkZDsIKmoMiFVoRtJdMG2Qxx2eKlt/iiSIhM27ylu7RfLdWCu0lxHM2pCqRQZNVvB\nghRJke3bbReoljuvI4+QdANnsSBmnCckq1ZvDU6alghXg5CjXNJgmirsRoT/ccZJuPc/7ms71vGU\nDWzDRE6ow7BlWalml93KiPO6Xcv3sm5lxPS+m8cJRVY0TQPnPHU/pOqgGUbDWmpGRrHqf+yxx3DB\nBReI6Nyb3vQmnHnmmQCAyy+/HK95zWtw3XXXidLeblDi1a4DmzCQJwBVkmiaJiIB46peWV5exvz8\nfNtFO2qn3SeffBKbN2/uaxvltMzc3NzAJmayA2UUReImJBs9ZbdjkohIJxKiKKp4/9xTjwePgfl5\nC6qmQGu+yuUk7cF4DMtUEYYx5qoq/CAWZMTQIfQiqgrUGzwVYVEVYK7aek9pGhqfWfOJZa6iCDJC\nJcSypiNousGT94nnt0iMTEYaTuv/iLXPX7ISjQulmuoNLsp0TUMRkSDaB00FGnY7mWAsTl48hqEr\nCAIOxwnxg3+/DwByn8SSz6eLmOQhS07ouiuXywNVp8iVOlHzpMmSE7kbcbZFRZacyKB5iMxQGkjX\nddx999045phj8M53vhO33357120c1sei33nXMxRFwbv+wVm19f3Pt1ZWvfy7H8wiIxKoxn8U34w8\n5KVUxtFpt1/XWIq86Lo+tIlZNwdKym3LN8CXvv4HA+9PUcgjIkRCVD3Jkx/9u0cjijgMU0MQMpQ0\nXehG8q7bht0avAm1RjLAdtJYNOwYPAYW5jr/XlGOBrXhxJirdJ6n4aQJiby9NTtGpaQ0ty/prwMk\nJKYbwighF4PAdRk8L4JpaNh1+k7cd+DHUDQgluoWiZxMe9QEaCfrn/vE7wxVpTZKGbEsiKX7AT1Y\nEEmRy4ip8odzjo985CO45557sGnTJrz73e/GGWecgd///d9HuZwOz5GPxZ133omjjjoKu3fvxp49\ne1Klo7KPxd133429e/fiu9/9bl/zbgSsZWnvpGBGRoBUOJIG63FDJiMkijVNs/BOuySIpciL7GMw\nSrVM1oGSboB/+KYfFrIvwyKrCQGSaAiREFXXsHXHNmiaCrXJIkI/QrXaejJ1XAbLSh8PmYh4HoeH\ntOhVjopkUWvEiGPkEgxqyJeHQOqRlyUodo4ZL33meC1CQgijdoYVhjEMQ8FyrcWIKFVTazRD/Jlz\nVdMU2HYIw0wGK11X4TgBopDDsMxkgGs6wcY8TpGTTlGTacV5f/pf4v9hxbBA9zJiz/NSDxaapnX1\nOKHlyeREVVVYloVbb70VP/7xj/H+978fqqriyiuvxA9/+EMcOHAAJ598stieYX0sHn/8cTz00EM9\n590IYFNIxrOYejLieR4cxxEXbhHEQBaxdmqoN+xyO4XbKC3DGBORl15pGdM0hxapqqo6UUSkU1pG\n1RKBJRGRxcM3wbB0RCGDymNYJQuapsD3GSqV9OURhTGikME0W8u2HSZErkD3yhMC/WT1Bke1oooU\nDaFhtxOShtNKqQRhMn2v6IYMJ1Pt43oxyqXEL8X3099FLF2iXK8nof8swbLtSPTU8NwIUcSh64nu\nJgo5jt35TDz84CGEfgDOGDiPwSMGRVERxxyKquRGSqYxSpLFOCt1smXERE5I3DpIN2LSjNDfMAzx\nzGc+E+973/vwvve9D/V6HaVSWms1rI/FoUOH8Oijj/acdyNg1ptmRkYAAAsLC8IgqAiQup3K6MbZ\nUC+PjMhpGRLEdkrLUE+BjWRilkdE1GaYOUtEzJIJzjgMU4emqQj9CJGqoFQ24LkMpXJ++sy2m5Uk\nRm/iRlwl735jOxwlKWpBOpG8CEk2GiKTBjn64fqJMVseukVesuiWqrHt/E7Dvh9B01TohgrPDbH9\nGUt4/FdPIObNp26NIY45WMQ6RkoUVZ0RkgyKJCf9diMmAzUAQj+ysrKSum/kNcwb1sdimjDFuy4w\n9WSkXC7nirrGCSqVHbele169f1YQO660TCdMEgkBOutDYh6L1IxhmbAqJZglE5qehJ7DIALXVOhV\nE6WyAVVRwOMYjhOhVNbhOgyGoSIMuYiMyERE65KW6YV6g2N+Lr3dURSjEcWwMsSBoiIA4Psx9C5a\nEpno1Bsc5VKyDtK25IHSMeJ9MypC+8fjGHYjgkqRJlUB50DC9VQwxuF7ETjj0HUNEYAtRxyG5V8v\nQ1EVRIBI29DTYMwVQUw4Ge7NIiVdMQ7zNaCzFowM0uRqGcYYqtUqdF0H5xz1eh0f/ehHUymZPAzr\nY7Fjxw6EYdhz3o0AljUxmkJMPRmhAb2IxnNEQqIoQqlUahN2jQp5m1c7LQNMNhHJ6kMAwLASHwar\nUoJZNsGbkSLD1FEqm2LA9f0I5VKiGSmV2y8R245gGGrbZ0Br0FYUBUqG31UrnUXKMlnohsSCXlqv\nVPUip2LcZurF8+JU5EWG68UIm+TGMpvnRsBhmGpbqobQqIddzxetmacKGEcYRFBUBZqmwrAM+A5r\npmaa6TIlTqIiqiYiJaqm5UZKkvezG3bRyNOC0T1MVVUcOHAAH//4x/H85z8ft912G975znfi1a9+\ndddlyj4WRx55JG6++WbceOONqWn27NmDa665Bq973etSPhaHHXZYz3k3Amb6qRkZSWGcZIQs3UlM\nNq60TBb0JJP1KZn2tAzQIiKqqkBrOsqaZQtm2YSmJcZchqlDUZPICNNUqKoCs6TD9UJYlg7XSf4C\ngOtE0A01RUQ8N3mSTzu2drBsb0YdqtUOqR8n0ZCk5rE55qpqWrza/IzQTSwLJIREhh9wWGb7+UhR\nEAJpRah8mUteCJzHIjqSB1VToQPwvRCMcVTmK+CMC6e1xICppR8BpN8NGjhj4v2MlHTGKFGRXqCH\nKQDivnLSSSfh7LPPxmc/+1kcOnQIl1xyCf71X/8Vf/AHf4ALL7ww99wfxcei07wbDTMyMvMZESFJ\nxhjq9To2bdo08jKz/V5c14WiKGOPjNRqNWiaJsiFLFDLRkPktEy5XN7QaRkgTURUTYNVKUPTNaha\nohlRVAWGZTQjGMnTe6liwiy1CJplJV4slqUjCpMBUCYjvs8ECZH/imhb5hDL5XuMxZif01JVLTTG\nUpQCaFW9UGooCJKJZC2HH8QoN3vnuC4X/8vkQV5PxGJBRkIp7WPbEXRdgdH8znVaDqsA4DhRKvKj\nqgrq9ZbOikccPAY441A1FZxxRCFLUjeOD8Y47JUGeNQsI23uMIlbk2PUiorklQTL00w7iiQidL9Q\nVRXlclmc0/fddx8uvfRSfPKTn8SJJ56IX/7yl/iP//gP/PznP8cHP/jBwrZnI0NRFLx135Ortr5/\nuHzLROpzpj4yMs40TadOu0WlgIh0TGtaBkgGJiIksn+IoiqCiJhlq/mdIogIvSciQiQm8CKYJR0x\nj+G5IaySDscJYRqtaIZtJ2GKbGO4brqRPB+BeoOhVCINT+tzP4hThARIyosrkpi2lw+I7TCUm+XI\n8noiiaA0Gknkw7LSkZow4PB9ivik95GxWOynTESyCIMIPOKIIpYQQEMHEMGqlOA7ifdF1Nzp5Ddr\naVVEJESKmsiYdoFrkSQEaHkgGYaRul/cdddd+MAHPoAvfOELosLl6KOPxkUXXVTo9kwDJpEcrDam\nnowQRiUMURTBtm1omlaYV4m8rkajAQAolUqCiExLWkZG0gelFQ2h/5MoSFI1QwJWhiT0r8QKdFVH\nFCZCzJhrMCwdoR/BsKTISCl9vIKQIQhZUr4qEZFRxKu2w9q0JFHEEUVIlRADCSEhHUcYpsmI6/K2\n/12fC0JC8H0Oy1LhB+nBvFN1TLI9MVw3bCMmWai6CkRJZz1ZkBf6EThLIiS6oYMZBoLIh6Kq4BFr\nIxxU8ptHRIDpjowUTUSoFYZsRx/HMW6++WZ8+tOfxm233YYtW7YUug3TiFlp74yMtGFQr5FsBUte\nV1sqjRvHtsnriqKo8GoZYH0SkeS9CrX5dK02u5EqqgLd0EWaQdUSIqIqiiAigRfBMDV4TpgiJ53g\nOE0fDik9kz0Hsp4lMmyHoVxq15HkEZXUel3ekwi5fnLeeR4X0ZEsfJ8hCBhMU0MUJRb35BkigzEu\nCEmj7qf6+mRB08l7zRgHj5IUjlm2ELhJZIWF+dfGLDKSRtFEJM+OPo5jXHXVVTh48CBuu+22Ng+R\nGcYDPqumme6uvUA6TTNodITCmb7vi86aeURmHGmavHUBrXRNNi1DPiOVSmUkfcgkEpG8rrBJ6iX5\nnPQiiqokT+tolYyykCEKI7CmlgEAorDdg933WpGCKGRwnER4KQ/Qvh/BccLUfFmdCMG2Q5Heyf8+\nPzIRsTiVWnFdltJ5uB7L/V8st9Faru2kvw+C/BugvJ2McdiNdHvf2kp+esap+/DcEL4TwLV9uA0f\nntuaV9NUqHqiJWERg6o39TtK0/slQ25mkZEWiiYiQRCIhxwiIowxXH755Xj00Udx0003zYhIgVjL\nrr1A0v/nOc95Do477jh8+MMfzp3mkksuwXHHHYedO3fi4MGD4vOLLroIS0tLOPHEE1PTv+c978GO\nHTuwa9cu7Nq1C/v37+96DKaejMgYhDREUYRarQZFUXr2lhlHCii7rjiOoaoqPM8TJIWebOimMoqn\nySSSEKBz+S59rpIeRFWgKip4JOsSAM3QoCrJoGiYBqIwQuiHCIIIoZ8M3HLI1LXTA7FrB8krQ0Ky\nNumdYNshGvVkXnJeJaGpbScupjJ8X0p3NMlDdposHCcSVT558H2eIikU2ekGntNVlG5sdEzkSImq\nqcLDJSICKEVGNL11vah6/rVD6bXsDTRLRDc6iq6YkV2hKZXreR4uuugiHHnkkfj7v//7WWfegsHj\neNVeWVD/n/379+P+++/HjTfeiAceeCA1jdw76Nprr8XevXvFdxdeeGEu0VAUBW9/+9tx8OBBHDx4\nEC996Uu7HoPpuqrHACp3q9frqFQqqFarhfaW8TwP9Xod5XIZ1WoVAIRjIpXylstlIZ4NggCapqV6\nTAyKSSQi2WhItutuzHlCRHIGMJqGRUxUcgBAFCaDsGEZMM3kJux7CVEwzYyOI+TwmgRENwa7MecR\nUTeHADDGc4mB3YgEEQESDUdqWR4TURE5OpIlJEFO5CQIOPwmCQsCBrsRiMqhKGqPitRXvOa2tohI\nv0gICQNnLYtxHvNWVU2GdJBlvExyYt6afhqwGkQkDEPMzc0JwrG8vIzXvOY1+MM//ENcfvnlhdkS\nzNDCWkZG5N5BhmGI/j8yOvUOAoAXvvCF2Lx5c/5+DfAQPtOMSOgVwRi20+4wkZG8dXWqlgGS1Ixl\nWTAMI2XvLDss6rrelThNIgnJQ2pwaupBKD0Tx1yQDwJnrDlNMrAlJacRVEWFZmgI/RCmqaeeGjw3\n7It0kDaC0ji0bdVq775DrhOiXGlvFV+rBW2fBwFPCVo9j/X0FyFQZcywkLUiWcQ8Tv0eogcQh2jU\n4za8tpsgDXA6gFjTEPoBNGiApiEKO6ezpglFExHHcRDHcapZ56OPPorzzz8fV1xxBc4555zC1j9D\nGmvpwDpK76Dt27d3XfbVV1+NG264Ac973vPw0Y9+tKt1xtSTEXlw7kYaSIdhWdbAnXYHJSOyiRmt\na5BqGU3T2jp2ZvtOGIYhunACk0tE8kLy8gAoR0biZmQkqcbg4KoiokQAoKk6OOMiVaNJZMP3ErEq\nZxy+G8BoRkoY42BuYm0ui0VJUyJ8NzJP8HYmYlDJIR1AQkgYi9u+J6ISSeJOx4lSQljPjYRDbOAx\nmCUNnhuJUl3Pi2AYrf9bywlgmBosS2/bTiFkDRNbd10yeGvU/MT+vekj4uSIWD0naFbCxCKC0SIo\nKrjKoSLRjchPa6quJZU1PG4KVNOGaNOEz33id6DrOoIggK7rY49MyB4ilUpF3AMeeOAB7N27Fx/7\n2Mewe3exGpUZ0ijS9OyJX30bT/x/3+n4/bC9g3rNt3fvXlx55ZUAgCuuuALveMc7cN1113WcfurJ\niIw80kBpGd/3R+q02w8ZkatlaF29qmUAdKyWyWuKFUURoigST0W6ruPcC3861D6tBmQfEUJ2AKTB\nDGiG9pH8zyPyymiKWZvki0ccHMkgpxlJxCkMwuR4GJogIr6Xjo54bjNNE/E0ie1SVUJwnBAxj1Gd\nyz9/HCds8/twnVCQCdKJOE7UlkKi9Av97TcS4vsRopBDN1Txfxb0faPmQZWiI77TIjFEDj05OsQB\n5FS9sDCdPlQ1DSELxM0468YaZ3Zlo1fSfOWm54kHiDAM4XneQNHNXqCIq67rKU3Zt7/9bbz73e/G\npz/9aTzrWc8a1+7M0CeK9BnZ9vTnY9vTny/e/+Rbf5v6ftjeQUcddVT39W7bJv6/+OKL8YpXvKLr\n9DMyIiFLRjjnws9jlE67/dw8BknLEJkY1MQs23diUqMhMrpFRmSDs5hzcKip1BmV9pJvBYsYdCM5\n5elvGITQDV28B9pJSCLAZM1utMMJ+WiwbdR8VOcsMNH9NG7+5XAc3hYh8bwIJcnvJIp4iox4btRR\nPBsEnUlJGDAYZpeyYTvITc2QDTylbrJEpG09ftTUhbTy1dSCnrNmPxoliZgAKiA1yos5b6XeJGv4\njWoLT2mZTl11gyBo66qbVCP1d/138hC57bbb8PGPfxy33npragCZYfXAotFSqaNglN5B3fDYY4/h\niCOOAAB88YtfbKu2yWLqyUinNE0QBLBteyyddnulaYZJy8heAMNgPRARID8yknyedHklokGOq3HM\nAZ6U9lKqRuGtVAp1IY3CSJT9AkDoJwQk9HnTLTSB5wTQDS13YB7W7Mxu+OAxUKm2/36Nmo9SDiGR\nS4odJ2zzAAGSSAcRDBKlJvuQRHQMS0dtxROpF89NpolCLsqbdUMTJIYIR6PmQWvau6ua2kY8vIxe\nJvBa/WdkUMSErgWanoTERD40LYmQUBpdUVRRmr1R0UkfktdVl8gJddWVoyZy6lUGPcCUSiUR3Y3j\nGNdddx3uuOMO3HbbbZifny9uB2foirV0YB2ldxAAvP71r8eBAwfw29/+Fk972tPw3ve+FxdeeCEu\nu+wy3HfffVAUBcccc4xYXidMfW8aIOklAwC2bYtBPwxDVKvVkQZ8QhzHeOqpp9qcC7NldbLOI6+3\njOu6iON4JO8QYP0QERm5viJSZEQu7VWb0RFK3VC0RGl+p4nvVTFgJtERTRARGniT71pkhCIktDz5\nL5AmtzKpEGkIKudtXnXk8koCNipFLlUMETWh9ZbKhkjX0Hug1WVYJiCyGJeWaVi6VBGkwnNDkZKS\nyYjvBEJPo2kqPLcVJVE1Fa7ti/dhEIn9VlRFEBF5v2Mep6IjURghjrkgIfK0lFqLYy6qa2SX1o3Y\no2YUoaqceiUTRDlyoqqqSPfIujLOOd7//vfjiSeewLXXXjuW+9wMw0FRFJz3tv9etfV97u+eOZH2\n81MfGQFakYs4joVobGFhYezCMdnddTXSMlmsRxJCyPagAVqVNDI4j6EokoaExzKWpg8AACAASURB\nVIiVOBUFicIImq6BhUnfFN3QEfph8pTJqCFei5TA0OB7+Xbo3fQinhOKi56IQxauHaCcU3nTqPni\ncyIK2Qofzw3F+l0vTKVrQp/BsBIXWUrr1JddQT6yYCGDZmhiXfTeaSRaEYqSOHWv4z77TmdXVtKK\nyH1n1CaZ5DEXJITAeVoAm9WOJJ+vf/3IqBUz2dQr6U1ItE7nn2VZsG0bi4uLCMMQl1xyCXbs2IHr\nrruu8NLd5eVlXHzxxfjpT38KRVHwyU9+Eqeeemqh61xvYBs88tcPZmSkCUp/6Lo+cLVML2SXFYah\naEQ1S8v0j2zKhjxFUmZbzaqWZJBSU9U0iqogVlpPBKqmJk/pPE1WeMQRRAFKc4njZOCFKfEmLav/\n7Y7h2olIs1w1RVSELKBdO0h1CyZkiUoiJu2tWZHdY4FWhYyMRs1L0lLNhnZi2g6kC0AqPcMYB2tG\nNhRV7UhEQj9MPYUJ/U5z3uxNmCIgqqqAN22QeJRfWTPtRCQPqqrCNE0YhgHXdRFFEUzTBGMML3zh\nC6HrOqrVKnbv3o13vetdq+Ihcumll+JlL3sZPve5z4keXjOkUWQ1zXrB1LvZxHGMRqMB13VF07ki\nTMyoP43rumg0GsIwDWiZmAFoVXw0q2WiKMLc3NzUExEg3YsGkCsv2n1FCKQRofk4Y80UQZhESKTI\nSsxjhH6SxiD/EQApIhKFDL4XipfnBB3Fm7lmZzkmYYxxuHYAu2koJqNRS3/mOWHKvj5oEo/QZ/C9\nKEVEwpyqGkqr5IGFLa0IADj1ZN1Emui4xjxG4AViOs9pbSPdVEM/FMePridRCUbW/NLvlEQ54pRH\nDBmcKaQFwmAkcFLx1Zt3r4qHCOcc8/PzKJVKqFar+MpXvoLjjjsOv/u7v4uf//zn2LFjB57//Ofj\nm9/8ZmHbsrKygm984xuis6+u61hcXCxsfesVa20HPwmY+siIoigwTROVSgVBECAs0HDJtm3EcTxL\nywwImWxkPUYoCpIXMQGSzxljUGIl16SOdAtarCU25c1pwiCEpmkp7QiT9CgyVFVB4LXOG85jlKtW\nx/1x7USjZJXaCaZrB6I5nxjs3TCV5qH3YUAlvVHaAC+IYJi62CbN0GA3WjoP6hcThUwQDV3X2qqI\nAIBFHJqeRD56gX6bwA1Sehq6AUZhKDQjMuQUTZag0HdyZKRFSNLEZT2g6B4zcRzDtu02D5H//u//\nxkUXXYS//uu/xote9CIAieX7t7/9bTzjGc8obHseeughbN26FRdeeCF++MMf4uSTT8ZVV12FSqVS\n2DrXI2ZpmllkBADEgD+OhnZ5CMNQ9JKRiYjsH0Lr9jwPjuOgXC5vyN4yw0AeaPI8RuRpZFGrPE/M\nk+PNWGIJL6cK5D4pURi1DZYA2pq49YJr+x0jJoRO32c/5xGHU0+TAfI8yYIiH3kRECGSzXF7jCKy\nyG/aytvpiIwQkzKGwGv5gnhNksKbRCGvkiYKI1G6yBhL/TZZrQgha/suC1gn/QmvE4omImRFoGka\nyuWyuHccPHgQF110ET71qU8JIgIApVIJZ5xxRspZc9yIogj33nsv/uzP/gz33nsvqtUq9u3bV9j6\n1itmkZEZGUlh3GSEDNMajQZUVRVdL2dpmcGQjYykv0v3LWHNNAx5WLRcPZupAikNoGoaWBghCsNE\n+NckIaQfIVFrGIQI/UgM1IOkCtxGmpRQlUtrMO+PkACA0/AEaQBafXSikCEMIvFq2wa7RWToe844\nQj8Cy2m6R0SE0iluo/k+UxGU/et7acIkp2oAtKVgshERJtJA7duUrpzK6Yw94f1TiiYijDE0Gg2Y\nppkiInfeeSfe9a534Qtf+AKe+9znFroNedixYwd27NghHF3PO+883Hvvvau+HZOOOOar9ppUTH2a\nBkgLTMdFRqhahtIyVDlDxGOWlukf2TSMTC5kciKbn5HniKIkoX4q/2VoPpkzcm5tLZf8R7Q4rRuS\nCUzgBR3JSKlitTV7IxAhMDOpGcY4WNNCPZu28ZwApUq60ibwwtQyfC/RkFglI0VE6H+9GfWJQga9\nWS2Tl4oh4pFNQ2VLdUNf1qSEuccijuNcEyfW7AdEvWdkHY+YV46GyGW8OaW9WUxqdU3RRKSTh8in\nP/1pfPazn8Vtt93WsZFZ0di+fTue9rSn4cEHH8Szn/1s3HnnnWtCiiYdvEcn7mnAjIxIGJdwlapl\nsk8p2WgIlRL7vj+rlumCTqZnUHlbWiarHZG/k0EEg0SsjCdVNenW9oM9bVPKwix1bhngd5lG1my0\nxKGB6ChMcBu+0JXI81IqqZNINZAiKQkxiVLOs7R9qt4q5SXiR80FgYS0yVERWSfCOYeqphsWdqqc\nkUmIqiopAjMoESFMGiEpmogEQZDrIfJ3f/d3+MlPfoJbbrlFRGTXCldffTXe8IY3IAgCHHvssSnD\nrBkS8AmOWKwWZmREwqhpmk4mZuSS6Ps+fN8XTepILNupt0y/2MhEBOjswpqeJk6JWZMIRfNpP1aa\nolbWnAaI1UxJsEYRhLBFYlirCoQIJc1jWJ2Jo6yp6ERMPMdHqdIucg28IDUPZxyeG6BUTi8n9CMY\nlp6qrAn9EIZlpAzMXNsTRm4sYoJs+ULEGolzPlvS6zm+IB6y0y1jLeGroigIPD9VZh36gaiAoSe+\nrDCVSULxTiQEwMBh5WkiInQ/qVarQnjNGMNll10G0zTxL//yL313Fi8SO3fuxD33bOx71KiYZC3H\namFGRtCKiIxCRvL62MjVMqZpwjRNcM7F0wyQPGWGYdjVyrkTNjoJkdHRFj5uCVdbT+ssP1IifUap\nG1VPfEiyKRtCJ5JIWgjDMgQJaG1r6xwiYmKWTTFQUiqHtBlZwhJ4QcqSHgDsugurbKY0HqTlMCxD\nRB+S1El6m1kYpQgJEYmsdwqRDx7xtmMhaz+iMBLHJfB8QTwURUXUTN2QYBhoiVRpu2TfEM7j1Ofi\nGMb56ZosJol8EFajYsbzPKEvo9/CdV285S1vwSmnnIK//Mu/LMSiYIZiMInn8WpjRkYkDEtGwjBE\no9GAZVkiLdPJxIy6cVJYNa+Lrmzl3AnTREQIXbUjEinJEhGKkmQjJARZExI1dQ2kK+HSdEZOx2Ya\npLOEJIvADcBjDisvPeP4MEtmKm1BWo1UAz83EO/lih/f8XPN0NyGJz73Gp6weCdw1nJEJfJBviy+\n4zedV9NREGFn30zHpI5FEDQ1IVFLDyKLVKWoU1vKZgAiMsk37tUgIq7rgnOOarUqfoOnnnoK559/\nPv7kT/4Eb3zjG2dEZJ1ho/de6geTLUFfI/RLSORqmWq1Kmrnu1XLhGEoqmXIyrlcLmN+fl6EW8Mw\nRL1eR6PREE9A8jZNIxEhZAeibLlaLPVASSppeCoiIVTlNKhGzXLfZq8UmZhkEYWRqBDJVooACeEI\n3KDtcxm+l189E3iB+I70IrIJmzwdkPigAK0yXUrNRCHLRDFkMpBUBhERiMJI/C/7iGSXzZvHL45j\n4Vib7K8vtpPIEZf0HSxoTSsM0zKK/l4lvFlMMhH53Cd+B47jIAgCcczGCfIQieM4RUQOHTqEV7/6\n1bjsssvwpje9aUZE1iE4j1ftlYf9+/fjOc95Do477jh8+MMfzp3mkksuwXHHHYedO3fi4MGDPed9\n8skncdZZZ+HZz342zj77bCwvL3c9BjMygnSapt/oCOcc9XodYRhicXGxa5M76sqrqmrqJpIFtQ2v\nVqtYWFhAqVQShKder8NxnKkmIoReA1K2jE1uogekS0zzUj95DfA6gUhJduAMvACBFwh3UnmQpu/y\nkEdWxDJY2suDSAOQEAtPIhSyK6qXY1iWZ7KUJR+0XPosCkNxTKMm4ZGFrDxiggDKkY7sU1+rRDhN\nQnrpQyaZiHzlpue1PUzU63W4rit8hkaB7CEim5ndf//9+OM//mNcc801OPvss8exKzOsAYiUr8Yr\nC8YY/vzP/xz79+/H/fffjxtvvBEPPPBAaprbb78dP//5z/Gzn/0M1157Lfbu3dtz3n379uGss87C\ngw8+iDPPPLOnv8wsTTMEBknLDFstk20dPiMhaeSlbAiyQys5sQIA40Q+WFL6ywBFiDMhSn+butec\nVA5v03IQwqBFIrLpHN/z21I4MY8RuEFLPCqlUCjlI4tZwyAUYlBZz5FND8kVMpRyof/llAxZv6ua\nCt/zBUGmcl3O0+W+rT40ikjHyOts6UIUMZ+SE2WSO/Fmp5chO7dOMgkBWqkZrdkR2rIscT+ghnWO\n46S66Q7SdoIxBtu2YVkWTNMU833zm9/ElVdeiZtuugnHHntsYfs3Q/FYyzTN9773PTzrWc/C0Ucf\nDQB43etehy996Us4/vjjxTS33HILLrjgAgDAKaecguXlZTz++ON46KGHOs57yy234MCBAwCACy64\nAKeffnpXQjIjIxl0i4zI1TKUask6qYr+G80+NHEcz6plCkKeqDXbu0YWtiaQq20A0pJk/TU6d59N\nl83mkZMwaFXT0PdhJpKQLaml7+lzSpsEXhLylwkHEQkalEQPmGYJbsACQW4CL2jZ2TfJSboxng9V\n01IakGz1DJfSOrQdcqfdLCnkPBY+L3JYmEiF/Ht0ugmvNyKSRfZhgvRiURSJ+0KWnOShk4fIl770\nJVx77bW49dZbsXXr1mJ2boZVw1pW0xw6dCjlwrtjxw7cfffdPac5dOgQHn300Y7zPvHEE1haWgIA\nLC0t4Yknnui6HTMygrS/SCcy0qtaJs/EzDCMkSzdgRkR6YVWm/nWQEqQqzzofRaUukk0CvlP6HqX\niBYLI5GCISIhb4NcySJ/TpGU7LJFo75mCS6lTPJMkSgKJ1IurFX9w0ImCAlnPDf1ItbBGFRNQ+gH\nrRJnP0z2i6UFvi1S1VpenjA1j4Rkj8F6FqoCg4lVSR9G0VHOuSAnvp8Qz6x4PQxDuK6biqrGcYxr\nr70WX/va1/Bv//ZvotnmDOsb37zlRb0nGhPm5uZS7/sdn/pJNdI9KQt5fOyEGRnJII+MrEZaJosZ\nCRkfshESuZpGTt1kn05pmiineWIeQZFNwVKfi07A9JQsE4NEb6IZempApnW2/E/SBEL25pDdaBlP\nvERYxMAillqXqmktssAYeLNPDI8SP5BsCkZERjJRkLwUSz9REBnrmYiMo2JGVVVR7k8PNVRp57qu\nuJ/IDzOcc/zVX/0VnnzySXzuc58b6f4yCBhjeN7znocdO3bg1ltvXZV1ThOK6Ic2CI466ig8/PDD\n4v3DDz+MHTt2dJ3mkUcewY4dOxCGYdvnRx11FIAkGvL4449j+/bteOyxx7Bt27au2zETsGYgkxFq\nxd1oNDA3N9e1WoamlatlhsWMiAyOvMFLrsjopzcD9UcRDfW65HGjMEx62uQsj5rtZRvusTBq9sLJ\naWLX/I62lbY/mxYK/QCh39KnUB+e1LI6mIhFfgjOWErfkopUkJ4j5lKfmDgtRpX+l/ejFxHp1B9j\nvZk9FVG6qyiK0JpUKhVx7zBNE0EQYOfOnTjnnHOwZ88erKys4B/+4R9WjYgAwFVXXYUTTjhhVqWz\nQfG85z0PP/vZz/DLX/4SQRDg5ptvxp49e1LT7NmzBzfccAMA4Lvf/S42bdqEpaWlrvPu2bMH119/\nPQDg+uuvx7nnntt1O2ZkJAMiFlQtE0URFhcXhT6kU1qmXq/3rJbpBzMiMjw6qcVTqRvpqb9TCTDQ\nSt9QBEF+yaAKEhZEqVJWQugHqcgKkZe80mAAuWQl8sMkHSStWyYv8jTZbaZ9pTSP7IgqSFeTfJDI\nlY4H7Z9cnktEQk7HMOn40fTd0jHdOoh2+g0nAavpITI3NydK/r/yla9g69atUFUVX//617H9/2/v\nzsOiqvc/gL9n2BeXQg1ZVFBDUAkUVPQqCs6gpk92S/vpvQ+lorZLLlfU6j7ccsnlMR/L9OGauaAW\n2q3UGUDANDcU0FxSKZdEjKTSjEFmO+f3B57jzDAzDDAz5wx8Xn/JMDPnSw3Mez7f7/fzDQzECy+8\ngJKSEoeOB6j/pKtQKJCWlib4J3jiGO7u7vjoo4+QkpKCqKgovPDCC4iMjMSmTZuwadMmAMC4ceMQ\nHh6OXr16Yfbs2diwYYPVxwJARkYGDh48iCeffBJFRUXIyMiwOg4JS68wAODnbVUqFYD6Mx+8vb35\nMqmjp2VMUShpHktt461t0zVdvGrK8Lwac48196YqffgY0zfWR7cbP4ab2jGstHC3GVYsDM+FMVyr\nwoeNh/cBHi1Y5YKDVCLl/10/PaPnx1Tfkdb8FAzXLZVj2qvAUiXElKtNxxhyRhBRqVSQSCRGW3d/\n/fVXpKamYu7cuXj22WcB1JfRCwsLMWjQIERFRTl0XJMmTcLixYtx//59rF69mqZpiMPQmpGHuMZk\nOp2O/2RibbcMNy1jj90y5pj+8aNw0jKmb4SG4cR0K6ppcDE9gdYwnBhWKwy3sjIG6zWkBqFCb3CI\nndTgefg1IgZhRcc0XIPCVS8Mb+MXvRqEEMP7G16DC2t6zaMuqdy/WYZ5dNKxyXNwlSL9w9BSP8bG\nF6aa+/6j2yiIAI9O+HZ3dzdaI/LTTz8hLS0Na9euxbBhw/j7h4aG4qWXXnLomABg//796NKlC2Jj\nY/Htt986/HqkbaPKyENcJ1XuHBlfX1+n7JZpDgom1jV2qF79fcyt+Lb8OEuVlUe7XhpWOkzflC09\nv+ECVI65yorU3fC0XMbsbYZfm7IUHvjbLKynsbQzxvR5LD2egohlXA8RT09PeHl58X9LSkpKMG/e\nPGzbts2o34MzLV68GNu3b4e7uzvq6upw//59PPfcc/zaAULsicII6qsc1dXV/Mp2APDx8XHqtExL\nUDhpyJZA8ui+5oNGU8OJuWtKTe7HvbEbVjYMz9WxdB3ToGI6NWLUX4Vh+akX7v6G0y+Gi3pNx2XK\n0hocw+cxfS7D+5k+j0QqpSDykLkeIgCQn5+PVatWIScnB0FBQQ4dg60OHz5M0zTEoWiaBvVTNB06\ndABQXyHhdsuYm5bhDqgSw9HcHMM/mhRM6lk65df8fc1P4VirbJjr+Gr4JstPhxhM8RhO7/DrOEya\ntBleh2UZsPr6oGA0VWOy7dfcz8BNE0kkUv7+htMvjYWPxkJDU6dluOdzhSDi6BACwGIPkezsbHz5\n5Zc4cOAAOnbs6PBxNAXtpiGORJWRh7Ta+gPENBoNP3/r7u7Orxupra1tMKcrdjqdDuP+cabxO7YB\nxl1CmQa3Nbx/4/+PrVUy6q/TsGphOh7DN2c3dzejc1vMTQEZTv9Yq7JwuG6ohveXSiUNzocxDR/W\nttwahiZb14eY/qxi5YwgolaroVar+ZO7gfp1I6tXr0Z5eTm2bNkCLy8vh4+DEDGhMPKQWq02Oh2X\n646offip0t3dHZ6ennB3dxd9GLE0nURVE8uaswvH6H5WpnQsPRc33WH4NWA8DWM6PnPVF0OGQcP4\nWozRc1gKH6bTL/z3rfRnaaxXiCuEEMA5O2bUajW0Wq1RCwCdTof58+fD398fq1atElXVlRBnoTCC\n+j8Go0aNQp8+fZCSkoLExERotVosXrwY8+bNQ2hoKL/TRq/XG1VN7L2LpqW4XgV6vb7RnicUTurZ\nOp1jazAx+1gbwoql65mbEjK+X8MpFVunWZoTPkzHZP1+FEQA4x4ivr6+/O/lgwcPMHPmTAwbNgxz\n584V/QcdQhyFwshDer0ep0+fhkKhwP79+3Hr1i0kJCRg0aJF6Nevn9EBeFzVhFtXYnimhJB/TPR6\nPX86KNe23lYUTB5pTjixNiXT6POYTHcYrhkxvc3W6zc2nuZWPyyFF/OPcY0gsn/7U/x5MI7ATfMC\nMOoh8scffyA1NRVpaWmYMmUKBRHSplEYMcCyLDZu3Ih3330X77//Pnx9faFQKHD16lUMGDAAMpkM\nI0aM4A+n4rb+arVawasmGo0GdXV1DVbmNxeFk3pN2ZXT8LGSRqsazXpeG8OKJfxZPc1c+2HxeV0k\nfBjaty2a/2AhlUrt/sGC6yFi+gGhoqICL730Et577z2MHj26xdchxNVRGDFw9epV/OMf/8D27dvR\nu3dv/na9Xo9Tp05BoVDg8OHD8PHxwejRoyGTydC7d2+jg6ycXTVhWRZ1dXXQ6XTw9fV12HwzhZN6\nLQkn1p+3YXCx1qjNdL0Jfx8zVZbGplwMn7OpzK0/cRWGUzNcc0Pud9fwgwVXNWnq76+lHiIXLlzA\na6+9hqysLMTExNj1ZyLEVVEYMWHpCGTD71dXV0OpVEKpVOLatWsYOHAgXzXhDtNzRtWEYRjU1tY2\naCHtaBRMHnFUOGkqW9eXGN6nNU652MKW9SEsyxp9sGBZtkE4scZSD5EjR44gMzMTO3fuRFhYWIt/\nFkJaCwojLaTT6VBcXAylUokjR47A19eXr5r06tXLYVUT7o+dl5cXPD09BZ1vpnBimbldMKbfN90h\n09iOmaaPwfbQwXHFJmW2aO5CVe73l2sBYO3311IPkS+//BKffvopcnJy0KlTJ7v8PIS0FhRG7Ihl\nWdy5c4evmty4cYOvmgwfPtwuVRNue6BGozHqUyAWFEycp7HeKU1p/GZ4/9YUPgzZa8eMuSkdNzc3\nvieRWq2Gn58f/7vJsiw++eQTHDt2DNnZ2fzfAULIIxRGHEin0+HkyZN81cTPzw8ymQwymQw9e/Zs\nctWEYRg8ePAALMsabQ8UMwonRAwcuXWXZVlotVqo1Wr+HKvy8nKcP38eSUlJyMrKgkqlwscff+yU\nDw8VFRVITU3FnTt3IJFIMGvWLLz55psOvy4hLUFhxElYlkVVVRVyc3OhVCrx888/Iy4ujq+a+Pj4\n8PczVzVxc3ODWq2Gp6enS3WBNQxQf59xSejhkDbI2T1EAODUqVNYt24dDh8+DA8PD0ydOhVyuRyJ\niYnw9/d36HiqqqpQVVWFmJgY1NTUYODAgfjqq68EO3CPEFtQGBGITqfDiRMn+KpJ+/btkZycDLlc\njvDwcD5s6PV63Lt3j/9E5Yjth47C9T2x1EafqibE0ZwRRMz1ELl//z5eeukl/P3vf0dsbCwKCgqQ\nn5+PH3/8ETdv3nRqVXPixIl44403kJyc7LRrEtJUFEZEgGVZ/PLLL3zV5ObNm4iPj0diYiL27NmD\n2tpa7Ny5E1Kp1OL2Q7F1g21q3xMKJsTeHB1EuN1sUqnUqIdIVVUVUlNTsXDhQkyYMMHoMVqt1qmn\nfd+4cQOJiYm4ePGiwysyhLQEhRER0mq1yMnJQXp6OoKDgxEcHIykpCTI5XKEhYUJ2tekMfbqe0Lh\nhDSXMw6746p+Hh4eRj1EysvLMWvWLKxbtw4JCQkOH4c1NTU1GDlyJN5++21MnDhR0LEQ0hgKIyK0\nb98+zJgxA5mZmZg9e7ZR1eTWrVuIi4tDSkoKhg0bBm9vbwDWmzY5q2pi2PfEx8fHbtekYEJs5Ywg\nYrit3vB03VOnTuFf//oXtm/fjoiICIePwxqtVovx48dj7NixSE9PF3QshNiCwogI5efno0OHDhg8\neHCD72m1Whw/fhxKpRLfffcdOnbsiNGjR0Mul6NHjx6CVU24P9Cm3SYdgcIJMccZQcRcDxEAUCgU\n+PDDD5GTk4OuXbs6fBzWsCyLF198EQEBAVi7dq2gYyHEVhRGXBjLsqisrOSrJpWVlYiPj0dKSgqG\nDh3qtKoJtz7E9A+0M1AwIYBzggj3Ojfs78OyLLZt24ZvvvkGn3/+Odq3b+/wcTTm6NGjGDFiBKKj\no/kPBcuXL8eYMWMEHhkhllEYaUW0Wi2OHTsGhUKBY8eO4bHHHoNMJoNcLke3bt3sXjVx1rk4TUHh\npO1xxo4ZrtGgn58f/zpnGAYffPABbty4gc2bN9vlgEpC2ioKI60UVzXhusHevn0bgwcPhlwux9Ch\nQ/m57uZWTYQ6F6epKJy0bs4IIlzg9vPz438fdDod5s6di8cffxwrVqwQ1U42QlwRhZE2QqPR4Pjx\n4zhw4ACOHTuGgIAAvmoSGhrapKqJM9eH2BMFk9ZFqB4itbW1SEtLw8iRIzFnzhyXef0TImYURtog\nlmVRUVEBpVKJ3Nxc/PLLLxgyZAjkcjkSEhKsVk2kUikYhoG3t7fRTgKx495YDFvpUzhxTXv/28fh\nW9gt9RD5/fffkZqaipdffhmTJ0+mIEKInVAYAbB+/Xps2LABbm5uePrpp/HBBx8IPSSn0mg0OHr0\nKBQKBY4fP47OnTvzO3RCQkIgkUhQW1uL0tJSPPXUU3Bzc2v05FIxaawTLEBVE1eRtzuuwXEJ3CF1\n7u7ukEqlLX4dMgwDlUrVoIfIjRs3MG3aNKxYsQKjRo2yx49DCHmozYeRQ4cOYdmyZVAoFPDw8EB1\ndTU6d+4s9LAEw7Isbt68CaVSiby8PPz666+IiopCcXEx+vXrh//+97+QSCSi6GtiC24rpmlPiMZQ\nOBEfc9MyLMsaTSuyLGsUkJv6OtTr9VCpVA1eL+fOncMbb7yBzZs3Izo6usU/CyHEWJsPI5MnT8bL\nL7+MpKQkoYciSnl5eZg6dSoSEhLw+++/44knnuCrJsHBwaLtBsuyLDQaDdRqtdFWzOagYCI8W9eH\nGFZNdDodpFIpXzVxc3Oz+jq01EPk22+/xfvvv4+dO3eiR48eLf1RCCFmtPkwEhsbi2eeeQa5ubnw\n9vbG6tWrERcXJ/SwRGH37t1IT09HdnY2kpOT+aqJQqFAXl4e7ty5w681GTJkCL+1UeiqCXeKql6v\nN9oBYS8UTpyruQtVrb0OTad0LPUQycnJwfbt25GTk4PHH3/cbj8TIcRYmwgjMpkMVVVVDW5funQp\nlixZgqSkJKxbtw6nT5/GCy+8gGvXrgkwSvGprKyETqdD9+7dzX5frVbju+++g0KhwMmTJ9GlSxfI\n5XLIZDIEBQUJUjWxtPDQUSiYOJY9d8yYvg4BwN3dnZ/q8ff353uIsCyLr3c1QAAAE61JREFU9evX\n4/Tp09ixYwd8fHzsNg5LcnNzkZ6eDr1ej7S0NCxcuNDh1yRELNpEGLFm7NixyMjIQGJiIgCgV69e\nKC4uRkBAgMAjcy0sy+Lnn3/mqya//fabUdWEK3s7smoihi3HFE7sx5Fbd7nXYV1dHfR6PQDgypUr\nyMvLQ3JyMr7++mvodDqsX7++RVN8ttLr9YiIiEBBQQGCg4MRHx+PXbt2ITIy0uHXJkQM2nwY2bRp\nE27fvo3MzEyUl5dj9OjRuHnzptDDcnl1dXVGVZPAwEC+atK1a1e7V02EbElvCQWT5nFGa3fDrd5+\nfn4A6sNIVlYW8vLyUFVVhfHjxyMlJQUpKSkICQlx6HhOnDiBzMxM5ObmAgBWrFgBAMjIyHDodQkR\nC8dHfpGbPn06pk+fjv79+8PT0xPbtm0Tekitgre3N2QyGWQyGViWxY0bN6BQKDB37lz8/vvvGDp0\nKGQyGQYPHgxPT094enoaVU3UajW/Hdda1cS0Q6YYWtJzTN9UKZw0zhlBxHAqz7CZWdeuXXH16lW8\n8847kMlkOHjwIPLy8rB48WKUl5ejQ4cODhtTZWUlQkND+a9DQkJQXFzssOsRIjZtvjJCnO/Bgwd8\n1aS4uBhdu3aFXC6HXC7HE088YXPVBADfIdPHx0c024ltQcGkIWcFEZVK1aDnzC+//ILU1FQsXrwY\nTz/9tNFjWJZ1+JTf3r17kZubi6ysLADAjh07UFxcjPXr1zv0uoSIRZuvjIjJmjVrsGDBAvz222+t\neuW+j48PHz5YlsX169ehUCgwZ84c/PHHHxg6dCjkcjkGDRpktWoCAG5ubi4XRPR6PfZkRRitbWnr\n4cQZQcRSD5HLly9j9uzZ+OijjzB48OAGj3PG2qPg4GBUVFTwX1dUVDh8aogQMaHKiEhUVFRg5syZ\nuHLlCkpLS1t1GLHmwYMHOHLkCF81CQkJ4fuacFWTAwcOICIiAkFBQQAgir4mtuJ6WXh7e1s95bUt\nhRNnBBFucbPpmqKTJ08iIyMDO3bswJNPPunwcVgbX0REBAoLCxEUFIRBgwbRAlbSplAYEYlJkybh\nnXfewTPPPNOmw4ghlmVx7do1fofO3bt3ERAQgNOnT2P37t2Ij4/n7yf2brAtacLWmoOJM4KIpR4i\nBw4cwEcffYQvvvgCgYGBDh9HY5RKJb+1d8aMGVi0aJHQQyLEaSiMiMDXX3+Nb7/9FmvXrkVYWBiF\nETNUKhVefPFFnD9/HjKZDCUlJQgJCeFPHu7SpYuou8GaO4a+uVpLOHHGqbtcADRc3MyyLLZs2YLc\n3Fzs2rUL7dq1c+g4CCGNozUjTmKt8dry5cuRn5/P30b50BjLskhJSUF4eDi+//57eHt7g2VZXL16\nFQqFAq+//jr+/PNPDBs2DHK5HPHx8S3aoWNP3M4NiUQCf39/uwQhwzdxVwwmztq6ywVAf39//v8z\nwzBYtmwZKisr8eWXX1qdKiOEOA9VRgR24cIFJCcnw9fXFwBw69YtBAcH49SpU+jSpYvAoxOPy5cv\nIyIiwuKbeW1tLQ4fPowDBw6gpKQEoaGh/NZiW6omHh4ejZ5d0lS2nBZsb2IPJ0L0EOH+u2u1WqSn\npyMwMBBLly4VxfQdIaQehRGRoWmalmNZFj/++CMUCgXy8/Px119/8VWTuLg4o3UDju4G29hCVUcS\nWzBxVhBRqVQNjgNQqVSYPn06UlJS8Nprr4l2gTMhbRWFEZEJDw9HSUkJhRE7UqlUfNWktLQU3bp1\n46smnTt3tnvVRK1W2+W0YHsTMpx8s7W/TSfntoSlHiLV1dVITU3F66+/jueff56CCCEiRGGEtCks\ny6K8vJyvmqhUKgwbNgwpKSkYOHCg0SLHplZNDNcp+Pr6iqobrClnBhNFdiy0Wi10Oh1Ylm1wcq49\nWOohcv36dUyfPh0rV67kz59qbViWxYgRI7BkyRKMGTMGAJCTk4NPP/0USqVS4NERYhsKI6RNU6lU\nOHToEBQKBUpLS9GjRw/I5XKMHj0anTp1srlqAjzqBmvYYtwVsCyLlP8rcchzm07NcP8duXAilUrh\n4eHRoqqJpSmxs2fPYs6cOdiyZQv69evX4p9FzC5evIhJkybhzJkz0Gq1GDBgAPLy8hAWFib00Aix\nCYURYmTBggXYv38/PD090bNnT2zZssWhZ3KICcuyuHLlChQKBQ4ePAiVSoW//e1vSElJwYABA6xW\nTYBH3WDFXBExxbIsHjx4AL1ez287tlfVpLE1IvZYs2OuhwgAFBUVYdmyZfj888+NznxpzRYuXAg/\nPz/U1NSgQ4cOWLJkidBDIsRmFEaIkYMHDyI5ORlSqZQ/MZQ7QbStqampQVFREZRKJcrKyhAWFsZX\nTQICAiCRSHD06FF06tQJ3bp1AwCH79CxJ26xp0QisVrNaWo4ae5C1ab2h+HW5pj2ENm9ezd2796N\nL774Ao899lizxuKKamtrERsbC29vb5SUlIjm9GpCbEFhhFj0v//9D3v37sWOHTuEHorgGIYxqprU\n1taie/fuUCqV+Oyzz5CUlATANbrBApYXezamsWBirx0zLMuCYRh+Osfwv6Obmxs0Go1RNYd7zLp1\n63D27Fls27YN3t7edhmLrcRQVfz3v/+Ndu3aYf78+U69LiEtRWGEWDRhwgRMmTIFU6dOFXooosIw\nDBYsWIDs7GxMmDAB586dQ8+ePSGTyTB69Gg8/vjjgvQ1sRW3xsJ0sWdzGIYTR27dZVmWX2ui1WoB\nAB4eHvjpp5/QvXt3+Pv7Y9GiRZBIJPjwww8FmSoTQ1UxMzMT/v7+mDdvnlOvS0hLiWffIXEaS91g\nly1bhgkTJgCo7wzr6elJQcSMadOm4fr167hw4QI6deoEhmFw+fJlKBQKpKWloa6uDiNGjIBcLkdM\nTIzZbrB1dXWCVE24g/pMD4xrLmf0DgHAhzi1Wg03Nzd4e3tDr9dj48aN2LNnD4KDgxEWFoZly5YJ\nVn2SyWT8vwcPHoy9e/cKMg5CXBFVRkgDn332GbKyslBYWOj0UrcrKCsrQ9++fS1WFf766y8UFhZC\nqVTizJkz6N27N181eeyxxwSrmoi1/4ktLE0r3bt3D9OmTUNMTAxqa2uRl5eHv/76C6+//rqgCziF\nqipmZmaiXbt2mDt3rlOvS0hLURghRnJzczFv3jwcPnwYnTp1Eno4Lo9hGFy6dIlfa6LRaPiqyVNP\nPdWivia2svdBfc5m2EPE09OTDyK3b99Gamoq3n33Xb6/BgBcvXoVf/zxB3+qsz3ZWlUsKyujyggh\nTUBhhBjp3bs3NBoN3wE2ISEBGzZsEHhUrQPLskZVk7Nnz+LJJ5+ETCZDcnKyQ6omls5pcRWWeoj8\n8MMPeOWVV7BhwwaHhI7moqoiIc1DYYQQgTAMgx9++IGvmmi1WiQmJvJVE8NdIs2pmnAnBpue0+Iq\nLK1vOX78OJYsWYLs7Gz06tVLwBEao6oiIc1HYYQQEeCqJgUFBVAoFDh37hwiIiL4qknHjh2bVDXh\npjY8PT3h5eXlckHEUg+Rffv24ZNPPkFOTo7oTrWmqiIhzUdhhIhKbm4u0tPTodfrkZaWhoULFwo9\nJEEwDIOLFy/iwIEDKCwshE6n46sm0dHRVqsmbm5u0Ov18PLycrmpAkvrW1iWxebNm1FQUICdO3fC\n399f4JESQuyJwggRDb1ej4iICBQUFCA4OBjx8fHYtWsXIiMjhR6aoFiWxf3793Hw4EEolUqcP38e\nffr04asmHTp04CsfFy5cQGhoKNzc3MAwjCj6mtiKa03PMAx8fX35IMIwDN577z1UV1dj06ZN1FmU\nkFaIwggRjRMnTiAzMxO5ubkAHjWM4hpIkXoMw+DChQt81YRhGAwfPhxVVVUoKCjAyZMn4efn5zLd\nYIFHC20B44MGtVot3njjDXTr1g3/+c9/RDVmQoj9uFazAdKqVVZWGh1qFhISguLiYgFHJE5SqRTR\n0dGIjo5GRkYGfv31Vzz33HO4efMmwsLCMH/+fMjlciQlJaF9+/Z8TxHDtSZqtVo0VRNLPURqamow\nffp0jBs3Dq+88oqoqzqEkJahMEJEg95smu7u3buYNGkSgoKCUFBQAC8vL5w7dw4KhQL//Oc/wbIs\nRo0aBblcjr59+4qqGywAiwtt79y5g9TUVKSnp+PZZ5+l1wYhrRyFESIawcHBqKio4L+uqKhASEiI\ngCMSPy8vL0yePBmvvfYaHyBiYmIQExODRYsW4c8//0R+fj42btyIixcvom/fvpDJZBg1apTgVRNL\nPUSuXr2KGTNmYM2aNRg+fLjdr0sIER9aM0JEQ6fTISIiAoWFhQgKCsKgQYNoAasdMQyD77//HgqF\nAoWFhQCApKQkyOVyREVFtbivSVNY6iFSVlaGt956C5999hn69u3b4usQQlwDhREiKkqlkt/aO2PG\nDCxatEjoIbVKLMvi3r17yM/Ph1KpxA8//IB+/frxVZN27do57Awdcz1EgPpTb1euXInPP/+cKmKE\ntDEURgghYBgGZ86cgVKpRFFRESQSCV81iYyMtEvVhGVZqNVqaLXaBj1Edu7ciZycHHzxxRfo2LGj\nU35mQoh4UBghhBhhWRZ3797lqyaXLl1C//79+aqJv79/k6sm1nqIrF27FhcvXsTWrVstnoRMCGnd\nKIwQQqxiGAZlZWVQKpU4dOgQpFIpXzXp06ePTVUTrVYLiURi1ENEp9Nh4cKF8PLywpo1a4ymbJxp\nzZo1WLBgAX777Te+lTshxLkojBBiRkVFBVJTU3Hnzh1IJBLMmjULb775ptDDEhxXNcnLy4NSqcTl\ny5cRHR0NmUyGkSNHNqiaaDQaqNVqAPX9UQ4dOgQfHx/ExcXhzTffxJAhQzB//nzBtu5WVFRg5syZ\nuHLlCkpLSymMECIQCiOEmFFVVYWqqirExMSgpqYGAwcOxFdffUU7e0zo9Xqjqom7uztfNZFIJEhN\nTcWePXsQEhIChmGwZcsWbN26FZcvX0ZkZCTS0tIwbtw4dO/eXZDxT5o0Ce+88w6eeeYZCiOECIh6\nKxNiRmBgIGJiYgAA/v7+iIyMxO3btwUelfi4ubkhPj4e7777LoqKirB79250794db7/9NhITExET\nE4Pz58+jtrYW7u7uGDt2LLy8vLB161bMmzcPx48fR1xcHMaPH+/0sX/99dcICQlBdHS0069NCDFG\nTc8IacSNGzdw5swZDB48WOihiJpEIkFAQADat2+P0tJSZGdnIzAwEEqlEh9//DF0Oh2qq6uxa9cu\nDBgwAAAwdepUMAyDyspKh4xJJpOhqqqqwe1Lly7F8uXLkZ+fz99GRWJChEPTNIRYUVNTg5EjR+Lt\nt9/GxIkThR6O6KnVaowYMQLr16/HoEGD+NtZlkVlZSUqKiqQkJAg4AjrXbhwAcnJyfD19QUA3Lp1\nC8HBwTh16hS6dOki8OgIaXsojBBigVarxfjx4zF27Fikp6cLPRyXwbKsy50lExYWRmtGCBEQrRkh\nDldRUYHw8HDcvXsXQP3hbuHh4bh586bAI7OMZVnMmDEDUVFRFESayNWCCOCaYyakNaHKCHGKVatW\n4aeffsKmTZswe/ZshIeHY+HChUIPy6KjR49ixIgRiI6O5t+oli9fjjFjxgg8MkIIaX0ojBCn0Ol0\nGDhwIKZNm4bNmzfj7NmzgjW5IoQQIi60m4Y4hbu7O1auXImxY8fi4MGDFEQIIYTwaM0IcRqlUomg\noCCcP39e6KG4LL1ej9jYWEyYMEHooRBCiN1QGCFOcfbsWRQUFODEiRNYu3at2d4PpHHr1q1DVFQU\nLbgkhLQqFEaIw7Esi1deeQXr1q1DaGgoFixYgPnz5ws9LJdz69YtKBQKpKWlUYMuQkirQmGEOFxW\nVhZ69OiB5ORkAMCrr76KS5cu4bvvvhN4ZK7lrbfewqpVq/hTcgkhpLWgv2rE4WbNmoVdu3bxX0ul\nUpSWlmL48OECjsq17N+/H126dEFsbCxVRQghrQ6FEUJcwPHjx/HNN98gLCwMU6ZMQVFREVJTU4Ue\nFiGE2AX1GSHExRw+fBirV6/Gvn37hB4KIYTYBVVGCHFBbXk3zfr16xEZGYl+/fqJuosvIcR2VBkh\nhLiMQ4cOYdmyZVAoFPDw8EB1dTU6d+4s9LAIIS1ElRFCiMv45JNPsGjRInh4eAAABRFCWgkKI4SQ\nZrl37x6ef/55REZGIioqCidPnnT4NX/88UccOXIEQ4YMwciRI1FSUuLwaxJCHI/OpiGENMucOXMw\nbtw47NmzBzqdDiqVyi7PK5PJzHboXbp0KXQ6He7evYuTJ0/i9OnTmDx5Mq5du2aX6xJChENrRggh\nTfbnn38iNjbW6UFg7NixyMjIQGJiIgCgV69eKC4uRkBAgFPHQQixL5qmIYQ02fXr19G5c2dMmzYN\nAwYMwMyZM1FbW+vw606cOBFFRUUAgPLycmg0GgoihLQCFEYIIU2m0+lQVlaGV199FWVlZfDz88OK\nFSscft3p06fj2rVr6N+/P6ZMmYJt27Y5/JqEEMejaRpCSJNVVVUhISEB169fBwAcPXoUK1aswP79\n+wUeGSHEFVFlhBDSZIGBgQgNDUV5eTkAoKCgAH379hV4VIQQV0WVEUJIs3z//fdIS0uDRqNBz549\nsWXLFnTo0EHoYRFCXBCFEUIIIYQIiqZpCCGEECIoCiOEEEIIERSFEUIIIYQIisIIIYQQQgRFYYQQ\nQgghgqIwQgghhBBB/T/Sd8gmXCxSewAAAABJRU5ErkJggg==\n", 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wGCy7cCNN/4y4yKS7cuIGUMvYsGosZuKU94ggnZ9MJoOzzjoL7e3t2LBhAzZs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DdqrJJrTDzS0U+Uox0oQguEKejJyUmceeaZeMMb3oBHH30UR44cwQ033IArrrgCX/rSl9KvCV3H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\nFG+88QbXBXF3dxfsdFTGGKqqq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LqeUlm80iFoshHA47avrmeR7JZBKRSETz+p2CLpDBYBCRSATRaFTqkpvP58Hz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L21AmaM/EFarWKxiImJCdHMkTEGVVXx6KOP4tJLL8UnP/lJ/O7v/i7+8A//EJ/4xCfaLvO8887D\nkSNH8Oyzz8LzPNx7773YvXt3bJrdu3fj7rvvBgAcPHgQMzMzWL9+fVfzrgbQb2IxXkuN8S9awjBJ\nB2MMCwsLYIzBNM3cDHboyWR+fh6KosT0G3KEQ65OoUjIIFGXlUA4RHRDiQYvs1RAZWYSZtGMnrgN\nHYEfIPADFIoGNE2F70UDpmNHfy3LF8ryei0agOWyWoJtMdiNktqsDAuRj6zmaEniAbSSjDSklb7S\nfHaj5LcqEZCg4Qlg2QwLC+nbIluac9mbpEE4sn4rpIdxHV8cS83QMbV2WkxD5yUMOcKQQ21EoEh7\noyYqucbEIxuDRDk6gSK0QJSCnpycxDnnnIPXvOY1ePjhh3H8+HFcf/31uPLKK/GFL3wh+5rQddx+\n++246KKLsHXrVlx++eXYsmUL7rzzTtx5550AgIsvvhgve9nLsGnTJlx77bW444472s672rDUpKPf\nkuajR4/iggsuwNlnn42Xv/zluO222zruqxKOciINEKFExhiq1SpmZmYGXmayn4lt21AUpaWUbFAs\nLCxA0zShyWgX3ZDTKaVSadVFN4BWwgFEOg5V11CeqgjhqKqTYDQyODMKEeEIwxCT09E54iFQKOpg\njKNUNOA3hBSmqQnS4ThBI7XQHGxVTRGkI43Q0c+Nh0ClrCGZRQgC3jDaChvvG5UhUqolYCF0TRaR\nNv+XBWlELkoFFVXJtrxWC1Bs6DkCP5qmWFRRbZTEUulvve6L/aNIjtNIn9D+qYqCes0FD6Mbp26o\nCHyOIGDwHB8siFInjHGEPMTCi/NgXpzoUJWEnFKhmyNnrdGaceolQp6Eg+4XqqrGIrQ//OEPccMN\nN+ALX/gCfvVXfxXPPvss/uEf/gFPP/00PvKRj+S2PasZiqLg2o+9uGjru/NP18YIImMMZ555Zqws\n+Stf+UpLSfPtt9+O/fv349ChQ7jhhhtw8OBBPP/883j++edxzjnnoFar4dxzz8Xf/u3ftiWGI6/p\nGGZ6JaszbF6pGyIXi1GdAixfwpGWTiGyoRs6jIIJRVFbvFACP4BhGmB+ANMsCjKSfBiwLE+UgwLN\np/2kxqHb6hWxHIuhVGwul6ILts1gGOmkkIiETDwcp2nR7jg81hMFaEY72sFxODwvsjGXe68wzgXx\nqNc9aJoa8/Co1+Lia8f2oTe6xlHpMRekIkSpUkY9qEZPXSF1TFXApTJaLvmzU4ltNP+YbAD5kg2g\n6SFkGEbsfvHtb38bH/7wh3H//feLipLTTz8dV199da7bMwpYymf/fkuaX3jhBWzYsAEbNmwAAExM\nTGDLli147rnnxqSjGwxKDIIgQL1ej/UzyQtUnQIAxWKxbSv61VydQgg5b/HhUPUoqmEUTBGuD/wA\nutE8BoZpQG2E84OAwdRVuG4Aw9QR8hCO5cMoxElBEHBoWvci0k6o1wNUKvHz4gchjETRjG0zGGaT\nTPgehy5VnzhO3EG0bjUNzeq1AIWCJrQbMlyXpepWFha82D7yFJvmes0TUR1VAYgqeI6PIGCCdMjp\nEh06CuUSPMcFD5pRDkJ0LpUYKRl7ezSRN+EgV1PZhj0MQ9x777348pe/jH379mHt2rW5bsMoYilL\nZvstaT527BjWr18vPnv22Wdx+PBh7Ny5s+36xqQjgV69OpIVI2ldWKnkbBjbJq+L7MfzrE4Bljfh\nAFp9OIhwqHpkTsXBoGpR1CMMQzCfQTM0MJ+BqwpUHkI3mrbTruXBLBowClpmDlQGpVZI86Gqra3C\nK5X00lsgIh6tjqetfiC+x2PEw7YbZmQJAkTkwnV5y3IpmuLYLN5Hpu4jiWREQ9VVMBaRrtqC22Ki\npqgKdF2D11iH7wax1AprVKjohg7OGLyAidQQS+k+pyhqLL0yymQDyJ9wUES0VCrF+rzs3bsXhw8f\nxr59+1o8OMYYDniO1Ss/e+Yx/OyZxzK/77ekWZ6vVqvhsssuw969ezva4o886ZDTK93aihNoYJcN\nuLLWMWj4LG1dRDpGLZ1CSPPhUHUtil7oWqyvCmcMAQCtEfpnPgNXOArlQkwTIcOxfBSK0U/ErkdR\nD01rJW9Ww6dCUZC5LHlQTzaRA9IJgmUFKJf1mKjTsVncF6RDxMVNpFbSIhuu2xzYPY+J6hPa13Zu\niTxsFc6quipuLKmajDAUPim+m4x0JG5satNUbJT9PPImHJ7nwXGcWESUMYabbroJYRjinnvuGTd2\nyxF5VpVseOmrsOGlrxLvf/jIx2Pf91vSvHHjRgDReHPppZfiqquuwiWXXNJxe8aycAm9kIMgCLCw\nsBCrGBnGcrtdVxiGUFUVjuOIUlkiG6u9OkUupUwaf6lSPxWg4aLImAjx0xO1oijRk7svDbiODx60\nDmqBn1JVUvfhOgEsy2ssr/t9ECWniZSFZQWi2Zv8GYEiE3KEgqIdQJM8OE5rRYrrdm9t3rK91Wgf\n6djUFpzG9lPUxIdj+/AcH44dL7GNxLsNU7ZGOSwLGMKQi/QXlc3GfDoalS3AuF9L3hUqsksyEQ7H\ncXD11Vfj1FNPxW233TYmHDmDh+GivZIYpKQ5DENcc8012Lp1K9797nd3ta8jH+noFcO2Mu+0rnZm\nX9T7hDpGWpYFICozo7r6ftIqy5VwAHH9RhKKqkJRVIQhBw+YSLOIHhKaBk3XwAIGRVUyoxw8DOHY\nHgxTF8LIIGAwChrseiOFkhLx6AW25YOxEOVyFMYmcyC/0aVVhpPQc0S6kuY0SeJBBMMwNdiWD6Ph\nn5FMoThOZO9er3soFJq3gsDnImXUqeW2S6RLOo5pVSuUWgl52DgHQMMjTAhHFVVJpFPGZmGLQTiC\nIIilYOfm5rBnzx685S1vwZ49e3LVp40RYSmJtVyWzBjDNddcI0qaAeDaa6/FxRdfjP3792PTpk2o\nVCq46667AACPPfYYvvjFL+IVr3gFtm/fDgD46Ec/ite+9rWZ6xv5klnOOXw/uhnPz8/H2H7atNQZ\ndmJiomv2TxGIqampnrYrua6s6pQgCET/GCIh1GVSdhzUdb3tDWS5kY24qyhv+SwZ5QCa6ROKbBDx\nIJD5lNbQeER+HRqMQmPwDziMgg7DbDo0EukAopQDEQ7ZeZMOq6oqcCwfpUo2GaWfHA3o5bIhSAel\nUogoAFFExA+YICg0Tda5dJxApFCCgItlyWka+p9IBwAUCnrTi6RBOhzLF2kWTVNg1z1R5aNpKlzH\nh9pwdCX4XpBKOpgfkWUSiRIJYYyBBwyBTxGgsTspkD/hsCwLYRiiUqmIa+m5557Dnj178P73vx+v\ne93rclv/GE0oioIrbzq+aOv70kc2Lmm1zMhHOuQbd7s0CLl4FgqFnjvD9ppeoeoUwzDEunqpTtE0\nraXDZLKvgmEYomsksDwIR1oEIzngyJGOkIeCXIQ8hKq3kkAuyEKDHEiEgzEGXdUjwWND4Ehw7UhM\nCgCO7QlykYQc+ZCDJvQ5gLYEBACqVVcQCjG/5aNUNgThACLtiClFQVw3EBEK+j+ZWvG8RtTD0GLT\nE+TpZSdRGSQeTcJ1mpETspoH4lEgx3JjBEJVVXBwcD8iHFzq6U2aDUVRAZWL+UZNy3Hf586Eruvw\nPA+6rg/dWFD24CiXy+Ie8G//9m+47rrr8JnPfAY7duSrIRkjjlFKIY486ZCRRg7Ilc913YHSKd2Q\nDjmdQuvqVJ0CILM6Ja25E0VA6ClH13Vc8vYf97VPw0YymtFpoCFXS4p0RE3EIj8OGgSJiFAPiZCH\nYGAxgWJsG8IQnuMLkhFImg954I1s07OFozIoegAAlYn068ey/BbiUau6KJfj05OXhgyZLPhuAKOg\nw3VZrJ/D/JwT657rOoEQycogK/jA5/C9IK5QX3CgaSp4wKHqKjjjUDUVPAyhKgqcRqolDEP4rt8q\nClUUBI3OdiIyBQ2hEiLkPPq/ofkAV0eyG+037jmvbSv6TtHKTqAIqq7rMc3X97//fdx888348pe/\njE2bNg1rd8boEqOUcBiTDglJ0sE5F34Yg3SG7eYmIadTOpl9yemUXqpTqK8ClcMth+hGGrodXCjS\noSQGfrlJFQ+Y6LkCIGZ/TpENHnJwL2r4pxu6IByOFY9w0KCqaSo0Q07ZdH9d1BYiM61iQssBxNMf\nhKQxGWchHDsQRmQy4ciKVFC0IxLEBnAsX9rHKFphFDTxPxBpNVRdzazm8py4PsRNvI+IC4MGDQys\nldwl3qu6FkWluApNBwIvfV9WMyidktUF1vO8li6wmqZ1/fvP8uDYt28f7rjjDjz00EM4+eSTc9u/\nMbKRVjK+WjHypCMrveJ5Hur1+lA6w3ZKr/STTpFr6fvBciUcnZCm6ZBD+0AUfQhDDnA1VjoLQJTO\nEvGI0jJqS2qFNB4ARDO4yBRMja2nE7Kipnbda0m7WHUf5RQ/D8cOUCxl/1RJfEqN6nw3EOvVM5xN\ngSja4XuRGZpcukrRHYpoAEBtwW64kXLRjVc3NHDGxfSiZLsR5ZDPCUU4gHgZbdMCPdE8ztTBgqjy\naBTMwbL0G2ldYImEUBdYOQoip0xl0INKsVgU0dowDPH5z38e3/rWt7Bv377UtvRjLA7GkY4RBkUc\nfN/HxMTEQAM7IYt0pFXCtEun2LaNMAxXvdlXtwh5CKhRekWkUxqW2mQOJhMTYXNOnh2SwNR3/aiP\nTeDFohiu5UIz9LaaBjXlJt9JxwFExMNMpDiseqTbSLa6duwgllbxnKBl3rTUC4BYZINApKG5/CiK\nQwLadkiWxca2wWl+F/gBOONdGeMpqgIeNF1IyaGRqpHi066uVEsvgtGsVvRyylSOhKiqKtI0su6L\nc44PfehDeOGFF3D//fcP5T43Rv8YazpGDEQKwjAU4q2pqamhC7jkUPVipFOSWA1kI83yXPyvquA8\nbHQtVVrSLvTkTmZhonzTZy0pEs/xUomG5wVQVUXYfKcRDqApJOVhiFKlkDoNTZckKI7ti5QKVbhw\nxuHYHMVSc3DwnEDso+/Fw7OyNkN+X593BKmiFImfSGXQ57T/VtWJ/DUaUQ46B4HPRFhY0zW4ltus\nKFIVaGikuCRrcwAtAlK5ZBa8YZ2uchDvUhQVIVanM+mgFSrJlCnpQUg8Tg87hUIB9Xod09PT8H0f\n119/PWZnZ/H5z38+tw7YhLm5ObzjHe/Aj3/8YyiKgi984Qs4//zzc13nSkOyHcBqxph0NEBpC13X\ne65O6YTksnzfFw2VxumU3pCscGkKSWmwUkTkQw7x85BDVVRhcEVkBWhqMnzPh2Zo4B4X6RbGODQj\nGpj79eaw65GOg8hHs2S20eCt7rVEGNLICEAN1bK3w0uQD8/xW7abbOAptQI0SUmSgFjVSMhIx1KO\nZAAQYlLHcqAq6dulqqqIdjA/iN1gW6qTQh7rQ0HeHavRmTSPklhVVUXpvG3bCIIApmmCMYbf+q3f\ngq7rqFQq2LFjB2688cbcCQcA3HDDDbj44otx3333iR5VY8QxSpGOkXckDcMQtVoNtm2L5ml5mOFQ\n/xXbtlGr1VAul1GpVABA5GgBiJwsVaeQcc+YcERoVrg0PTrkzwHEwvGtgsVmiiUMOQLfh+/6sd4H\nIY+qLwj0ne/64nPSMSQFlDKS7n9W1REEJDZdwIXJlgy57FaGY0uCz4aOw01xIRXajMb2W1UndXny\nPvhuIOaz69H08TbYVFHCY8eIQMfbczz4no/AD8ACFpGNNoSDN5xjgYg4qjLJkEjkasA3792xKB4c\nnHNMTk6iWCyiUqngG9/4BjZv3oyXv/zlePrppzE7O4tf//Vfx/e+973ctmV+fh7f/e53RSdaXdcx\nPT2d2/pWKuj6XozXUmPkIx2KosA0TZTLZXieJ4zC8kC9XkcYhuN0Sp+Im4WFomRWbdhoy4hcSalD\naTQvgxTGp2VKT+ecc3A3inJomtYQZDb9IlRNhaoq8F0fiqrCc3woiiIGbRqci6X2eg4iHuQDQrCq\nDoqJElmatlBsJZ0U1UgSDopgyKW/BEqRWFUHmq7GIhtyeXAaKH3CGBfCUE2L0jPE/vcAACAASURB\nVCqqropokhwNIV8OFRo4mGhFm+VCSlEOIiTJTrMrHXn3UAnDEPV6vcWD4z/+4z9w9dVX4+Mf/zhe\n/epXA4iszr///e/jpS99aW7b88wzz2DdunV4+9vfjqeeegrnnnsu9u7di3K5nNs6VyJGKb0y8pEO\nAGJgH0ZjtjT4vi96pciEQxaM0rodx4FlWSiVSquyd0q/SJKKdpEO+XN5Xlk4qqiRZwQ9gZMbJqVV\nAj+I6Q7SUiuZjqC211ZsKaZLiW44licGf1lMmoyQyNEOGUQi6G8zatEaYSEwn6pemssUUY7GcU2m\nVXoFaWgiwSiLfZ4G6sUSP49K7Hu5B89KQN6Eg0r8NU1DqVQS1+fhw4dx9dVX46677hKEAwCKxSIu\nvPDCWMvyYSMIAjz55JP4gz/4Azz55JOoVCr42Mc+ltv6VipGKdKxcn6xi4Bhkw4yFqvValBVVbSF\nHqdTeodMKpIC0VB6OhZPylKzMJqXMRYdez+IlXCqkkaCymjlZQd+AN/zo5cbdD3QuZYL18oe7IFs\n4iGD0iO1eTsWjZCFoOKV4dUBNEkMESIWNFMkRDzk48KktBKBUk9yGgVoNoNznfj++q4nls0k4gHE\n02DR9rDoHAYsRkw6QSYgy5WE5E04GGOo1WowTTNGOA4cOIAbb7wR999/P84+++xctyENs7OzmJ2d\nFQ6nl112GZ588slF347lDmpwuBivpcbIp1eA+BPrsEgHVadQOoUqVYhgjNMpvSEttQI0haQi3cKj\nqodoehZ5djBAoRSJVEZLwsfAD6LGcDyA1vDvkKtaktOnaRnMYjwtQkSH8xB2LYoaFMsFcX0ROYqq\nUryWlIxjeTAKrT9Px/JiKRjP8ZsVLAlnUiAy6bLrriSWDRrHLRIsp1mcU7qEIJut0b4rqgLP9qDp\nmliWZ3tRJIPzqFTTTY+OKKoKzuLHkKpgkp1mxf8J34+VhLwJR5YHx5e//GV89atfxb59+7BmzZpc\ntyELGzZswGmnnYaf/vSn+JVf+RUcOHBgScjPckdad+vVijHpkDAsASlVpySfOpLRDSrRdV13XJ3S\nAcnusslBqN2AFNNtBFIlhNo6kMX6hPRQrUIRDbONnsOxohLGYrm1hLZetVEsF2KRDNdyUUiZ1qra\nLSRHRlq0g6pMWMBEUzzfa0Q5WFy3AjTLix2h42Cx9FQSnuNCleznk4SDNSpQhJZDUcXnQIOISNGN\nNDHwcggN94q8CYfneakeHH/5l3+JH/3oR3jwwQdFhHWp8OlPfxpXXnklPM/DGWecITqUjtEEXwYR\niMXCmHRIGDS90s7sS9d1uK4L13VFszUSrY7NvrpDa2+WppiU/B2i7xVBUqKIQnMwI80GLYMHDKqu\nxQbVqKqFQ+WS1XlDiNpusAcAx4qiGoU201ETtCShcCy3ac3eGIxdywXnIQoJMuM5HsyiGSMpZO1O\nKRLd0GHXHbFM13IF8aCUTZJ0Rf4k8aiG/B0AUUILIEZixHa4vtDMiJLlRLqESIVKvVZSvgN6JxrL\nqZQ2b8JB95NKpSLOGWMM73vf+2CaJr70pS913Qk7T2zbtg1PPDEa96h+sRIJdb8Ykw40IxyDkI60\nPi1ydYppmjBNE5xz8XQCROJG3/fbWhhnYVTIRjvEiAcgUi0AkGYbQYO5IqdoZD8PyRMiDfLACyBm\nly7DochHG/LhWm7L/EQmxPY29sWuOS3LShKOLMh9ZgjNdFQoog3ywKVpmoiOkK4FgLiuSXirKCo8\n2xVVKMmohKypEfuUUq2ShpVKOBajQsVxHKH/ogcW27bxzne+Ezt37sSf/Mmf5FL6P0Y+WC7X7mJg\nTDok9Es65Lb3lE7JMvui7pEUDk3r+ipbGGdhlAlHp1SLPJ0M2bE02ZuFwBiDypspBqHnKDQHfLqZ\nRx1pyT7cECFSebD0HE9ENejakgdkz/ZaUjKe47WUuiY/Z4yDMQ7DNGDXbRhmRF5k8mHXbUE2HMsR\nREJefzO9ERl/yUZpQJSWYXJ5K+dCGKqoCnzPgyppanjI42kSQQDTS2PFeUmZJ4mVcGNeDMJh2zY4\n56hUKuIeceLECezZswdve9vbcNVVV40JxwpDVhXXasTylHovMbolHnJ1SqVSEbXn7apT5J4uZGFc\nKpUwOTkpwqS+76NaraJWq4knGnmbRplwELKqWWJKbalETHYsBZqaArlSgjGW6arpu17z5UWv2Pee\nnyowJbiWCy+jjNau2fAcT6Q8GGNwHQ9uSplq8jO7bov1A5HbKOsQAUnzBKBtp23I6pfCUpZHZMt3\nPTAvaIl2RMvNjm4ktRzdEMjliPs+dyYsy4LneV31m+kV5MERhmGMcBw/fhxvfvOb8b73vQ9vectb\nxoRjBYLzcNFeaXj44Ydx1llnYfPmzbjllltSp7n++uuxefNmbNu2DYcPH+5pXhnjSAfi6RWKSHT6\n4XZKp6RVpxiG0dZ7I62lte/7otGbruu45O0/HuKerw7Ig1vSv6P5fWNA52hUXJB9ehsBaodqCRJL\nGlIUhMpJs9Iunu0hDMPUtIvv+rH5Qh62pFuAiHjIEQTxuaQJkStQoqZ1mihZBRD7X6SWGlUnJArl\nnDfTUVLaSt5empfSLXRc5fkYY7GOvML4K7G8MCVStBLIBgB8457zRN8T+s2qqhqLXA5CBqgaTtf1\n2D3kX//1X3HdddfhzjvvxCtf+cph7c4Yi4ylvM4ZY3jXu96FAwcOYOPGjdixYwd2796NLVu2iGn2\n79+Pp59+GkeOHMGhQ4dw3XXX4eDBg13Nm8SYdPSBXtIp/VanJLtJjqMbvUEWI8Z1HpFwUZTUhlGv\nFuZFokcuiU6Tng+6ocd0IATfbZIArTHoew2/ipCHMItNwShFrJqC00KMbPiuLyIRIjVSj/QcaW3g\nqY8KldzJ+g25NT0hKTaNnFdbyQNnLFaNEjm8NsWnNL+sDUk79smusWmEYzl4BwwCSqmkPTRQ4zXL\nsmLdX3tpt8AYQ71eR6FQgGmaYr7vfe97+MAHPoB77rkHZ5xxRm77N0b+WMr0yuOPP45Nmzbh9NNP\nBwBcccUVeOCBB2LE4cEHH8Rb3/pWAMDOnTsxNzeH559/Hs8880zHeZMYk44E2uk65OoUSpGMW9Ev\nHdI0G8mnZxow0xxK1bZRjtbzJacqksJMgu95MMykRsONEQ8ZRD6IpKhStYFMRjwnCtnLkRCRjvGZ\nGIjIAE2IQsnd1Gci5C/vR7LUVdbHUBWKrP1Qlch/Qz4+zAtSUzZplSlAey+O5v8rg4hkaTjataCn\n+0KShKQhy4PjgQcewGc/+1k89NBDWLduXT47N8aiYSmrV44fPx5zpZ2dncWhQ4c6TnP8+HE899xz\nHedNYkw6EPfnyCIdeaRTusGYcHSPZEltUuvRjHg0nr6FpKlpIibAGLQ2kal2BIT0HvLnRCooFRO4\nPvSMFEy0L9E16Ls+wpBDN5qREBFVaZSq0sCeRoTkklaKXojGalp6qWvSLrkZ1eAiEhRKqReeQhYU\nVUXgNQWnaTfV1Uo40tCpBT2AFhE5pWnkKGkYhvjsZz+LRx55BF//+tdF08gxVja+9+CrO080JExM\nTMTedzs+Dcs4c0w6EkgjHYuRTkliTDb6B1W3JLUeQjPAKOXSGHz19KdMlmj+l0VCSNuRXA6JM4kM\nRNUqTZvwoPG9JpEFEmqqkmcIAHi2C71gJMhAs2wVaJIdVdNEBANo2ItTmqNBFAI/ABpOrMlS12QV\nilxdIpcWA3HCEWvillKNkkYyWlIzK4BwDKNChVrQk5dPUg9C9xP5oYVzjj//8z/Hiy++iPvuu2+g\n+0svYIzhvPPOw+zsLB566KFFWecoIY9+X71g48aNOHr0qHh/9OhRzM7Otp3m2LFjmJ2dhe/7HedN\nYly9koBMOqhFdK1Ww8TERNvqFJpWrk7pF2PCMThCzmMDWIyAJCpUQh6VhdIrC8z3Y68kqBImaYRF\nVS9Z8D2vpecLNaKTEcg9UCTRZTIfLAiBXDHS0GPwgMcslyktIjsiBn4Qq0Jhvp+6vjTCkVyvmC8z\nqtHUeowK4UhCURShBSmXy+LeYZomPM/Dtm3b8LrXvQ67d+/G/Pw87rzzzkUjHACwd+9ebN26dVwV\ns0px3nnn4ciRI3j22WfheR7uvfde7N69OzbN7t27cffddwMADh48iJmZGaxfv76reZMYk44EiEBw\nzlGtVhEEAaanp4V+IyudUq1WoapqrJStH4wJx3CRJB4hD1saICUHbZmAZBERRVEFwUgOoiEPwbzW\n0tLA98UrDdSIjpbHQ95S8ppWrgtEJEUmFiI940UN1xhjIvIS+L4gCTxgghD5rteizUgSiDTRZxRZ\nijdxk6elSEpWl8uVQDaAxfXgmJiYEKX03/jGN7Bu3TqoqorvfOc72LBhAy6//HL84Ac/yHV7gOiJ\ndv/+/XjHO96x5E/kY+QDXddx++2346KLLsLWrVtx+eWXY8uWLbjzzjtx5513AgAuvvhivOxlL8Om\nTZtw7bXX4o477mg7bzso4fhKAgCRV63X6wCingbFYlGEN/NOpyQxJh/DQbuuo2klsRQFySqXlZcn\ni/9aqmUSg3NSPxH7TtdaUgy60TQbI4KQlgYKeQjd0GNERZX6mqRV22QN8p10F2k1/mnRpG5szFcK\n0SAsBuGo1+tQFAXlclk80LzwwgvYs2cP/uiP/ghvfOMbAUQh7L//+7/Hr/3ar2Hr1q25bteb3/xm\n3HTTTVhYWMDHP/7xcXpljIEx1nQ0QAZeQRCIJ4121SmUThlGdUoakje5MQnpDc3+LLwt8YjN0+Lt\nIS9PaVmOHBVQE6JVcj4lyP1QkpCjJc2OsVH0QTP12HRAk3zQPHL5KxARjywb8jQtRVbJapaRUBph\nSI9gjAlHN8jy4Hj66afxjne8A5/61KfwG7/xG2L60047DW9729ty3SYA2LdvH04++WRs374djzzy\nSO7rG2M0MI50NEDOotQnpVwuL0p1Sj8YE5B0dEsuWufLiGrEymw7Rz6SSFbTJEt0hVg0UUJKJaz0\nXp5Wnj4Z+eg0mKeVqpJ5V2y7pFLXSJCbTjLa+nOsMHFoFvImHOTBYZomCoWCuJf84Ac/wHvf+17c\nfffdHcPVeeGmm27C3/zN30DXdTiOg4WFBVx66aUitz/GGP1gTDoQRS1+/vOfCyU5AJRKpUVNpwyC\nUSch/ZKN9stUWgSn8ndZ29FugE12YyVQRIFICb3XNC1mriWnUdptU5IQyH1PkqmfpGlXch+69Q9o\nl1JZqaQjb8KR5sEBAN/85jdx66234qtf/SpOPfXUXLehWzz66KPj9MoYQ8E4vYIotTI9PQ0ginhQ\ndUpaOoUaLS2HltEE+eY4igQkGVHodp6s6ZOiSPG5Qimb1tQLEC8ZTbNmTxWkStuQTGeIktjGNLKo\nNHn9yaQi+V4Wg8qW5Gnpk6x9SCLW1Td5nDrMu9yRN9kAkOnB8aUvfQn3338/vv71r2NmZib37egF\n4+qVMYaBcaSjAd+P7Kc9zxP5VV3Xha7DsqyWnOtyRxAEuPjKw50nXIWQNR3dTpv+XRvX0oxISPt1\ntU/TZEUc5GmSaOesKkdRkiZeyXV2EpK2w1i/0T1c14XruqLTNBDpOj7+8Y/jpz/9Ke666y4UCukO\ntmOMsdIxJh0NuK4b6+ZKboF+42lT13WYpjlw46bFQFYaaBSjIN2iXdQjK7IR+4yiIBmDdLtUTVpU\nJK2hW5aWo/k9h6ZrmVUmWSQjS5uRFsVIX++YcHSDMAzhui5834+V1gdBgD/+4z/GxMQEbr311mUV\nRR1jjGFjTDoQ/egvuOACnHXWWbjooouwa9cu+L6Pm266Ce9973tx2mmnicoWxlgsCjLsqpVBQbX+\njLGOniFjEpKNriteOnSizZxPrpRJ9IaRIROALEQlt2l9aLIH/Uyi0IZkZJGU1un+//buPKqpO/0f\n+DsgO66oRRYV1FJcKCiI6CgKJIjVozNTna/OHFoRtdaNugxSlzlMK1pbj+XQuhxq3Ve0U6smgIB1\nQ1DBDTcsSokoFddKkJDk3t8f/eWWAGEzyb2B5/VXicJ9YgO889zP5/mYV9gATDuDw97envu+fP36\nNWbOnIkRI0Zg0aJFgn9DQ8ibotDx/2k0Gly8eBFSqRTHjh3DgwcPEBQUhLi4OAwcOFDnIDdtF0S7\n7sNQx1cb4jloT7PUjmtvKgog+jVnrUh9Czqbda0a3QV9n99QAKmvU1JnHHwTuhotXZNhjoHj2K53\nufNOjEF7exaAzgyOZ8+eITIyEtHR0Zg6dSoFDtImUOiogWVZbN68GatWrcLnn38Oe3t7SKVSFBUV\nYfDgwRCLxRg1ahR3yJJ2S61KpeK9C1JdXY2qqqo6K+FbikKIfsbYLfPH1224g9DY1t7aA8pqPlZf\nZ0VfV6O5gePPs27ML3Ac3enDvYGwsLAw+BsI7QyO2m8E5HI5PvzwQ3z22WcICwt74+sQYi4odNRQ\nVFSEf/7zn9i1axf69evHPa7RaHDhwgVIpVKcOnUKdnZ2CAsLg1gsRr9+/XQOZDJ1F4RlWVRVVUGt\nVsPe3t5o94MphOhnrBDS8DXrThqt+XhL6BtR3pxFueak5i0V7RBA7fduzTcQ2i5Ic79/9c3gKCgo\nwNy5c5GcnAxfX1+DPidChI5CRy3auRwN/Xl5eTlkMhlkMhnu3buHIUOGcF0Q7aFwpuiCMAyDysrK\nOqOTjY0CiH6NDQtrbkegObtYGv9aDd96qa21hQytpqzfYFlW5w0Ey7J1QkhD9M3gOH36NOLj47F3\n7154eHi88XMhxNxQ6HhDarUaubm5kMlkOH36NOzt7bkuSN++fY3WBdH+ULOxsYG1tTWv94MphPCn\ndigxVNelLQeO+tQ8el6j0TT4/atvBscPP/yA77//HikpKejatatBng8h5oZChwGxLIvHjx9zXZDi\n4mKuCzJy5EiDdEG02+6qq6t19vkLBQUQYatvHoiWOa/NaApD7VCp71aMpaUlN9NHqVTCwcGB+95k\nWRabNm3CuXPnsGfPHu7nACFtEYUOI1Kr1cjJyeG6IA4ODhCLxRCLxejTp0+zuyAMw+D169dgWVZn\n252QUQghQmDMLbEsy0KlUkGpVHLnNBUWFuL69esICQlBcnIyFAoFvv32W5O8SZDL5YiMjMTjx48h\nEokwa9YsLFiwwOjXJaQpKHSYCMuyKCsrQ2pqKmQyGX799Vf4+/tzXRA7Ozvu79XXBbG0tIRSqYS1\ntbVZTUWtGZT+NuMW3+WQNsjUMzgA4MKFC0hMTMSpU6dgZWWFadOmQSKRIDg4GI6Ojkatp6ysDGVl\nZfD19UVFRQWGDBmCH3/8kbeD4wipiUIHT9RqNc6fP891QTp06IDQ0FBIJBJ4enpyoUKj0eDFixfc\nOyRjbOszFu3cEH3j46kLQozNFIGjvhkcv//+Oz788EP87W9/g5+fHzIyMpCeno67d++ipKTEpF3K\nSZMmYf78+QgNDTXZNQnRh0KHALAsi0ePHnFdkJKSEgQEBCA4OBiHDh1CZWUl9u7dCwsLC73b+oQ2\nHbW5c0MogBBDM3bg0O4es7Cw0JnBUVZWhsjISMTGxmLChAk6n6NSqUx6OnVxcTGCg4Nx48YNo3dY\nCGkKCh0CpFKpkJKSgpiYGLi6usLV1RUhISGQSCTw8PDgdS5IYww1N4RCCGkpUxzapu3iWVlZ6czg\nKCwsxKxZs5CYmIigoCCj19GQiooKjB49GitWrMCkSZN4rYUQLQodAnT06FHMmDED8fHxmD17tk4X\n5MGDB/D390d4eDhGjBgBW1tbAA0PNzJVF6Tm3BA7OzuDXZMCCGkqUwSOmtvVa54Ge+HCBfz73//G\nrl274OXlZfQ6GqJSqTB+/HhEREQgJiaG11oIqYlChwClp6ejY8eOCAwMrPNnKpUK2dnZkMlkOHPm\nDDp16oSwsDBIJBL07t2bty6I9gdx7emLxkAhhNTHFIGjvhkcACCVSvH1118jJSUFPXr0MHodDWFZ\nFh988AGcnJywYcMGXmshpDYKHWaMZVmUlpZyXZDS0lIEBAQgPDwcw4cPN1kXRLt+o/YPYlOgAEIA\n0wQO7eu85nwclmWxc+dO/PTTTzhw4AA6dOhg9Doac/bsWYwaNQo+Pj5c+F+zZg3Gjh3Lc2WEUOho\nVVQqFc6dOwepVIpz586hc+fOEIvFkEgk6Nmzp8G7IKY696U5KIS0PabYoaIdyOfg4MC9zhmGwRdf\nfIHi4mJs3brVIActEtLaUehopbRdEO101IcPHyIwMBASiQTDhw/n7kW3tAvC17kvzUUhpHUzReDQ\nBmsHBwfu+0GtVmPRokXo0qUL1q5dK6idY4QIGYWONqK6uhrZ2dk4fvw4zp07BycnJ64L4u7u3qwu\niCnXbxgSBZDWha8ZHJWVlYiOjsbo0aOxcOFCs3n9EyIEFDraIJZlIZfLIZPJkJqaikePHmHYsGGQ\nSCQICgpqsAtiYWEBhmFga2urs3Jf6LS/QGqOkKcQYp4Of/eO0beG65vB8fTpU0RGRuKjjz7ClClT\nKHAQ0kwUOgAkJSVh48aNsLS0xHvvvYcvvviC75JMqrq6GmfPnoVUKkV2dja6devG7Yhxc3ODSCRC\nZWUl8vLy8O6778LS0rLRkzaFpLHJqAB1QcxF2n7/OscEaA9b0x45/6avQ4ZhoFAo6szgKC4uxvTp\n07F27VqMGTPGEE+HkDanzYeOkydPIiEhAVKpFFZWVigvL0e3bt34Los3LMuipKQEMpkMaWlp+O23\n39C/f3/k5uZi4MCB+O677yASiQQxF6QptFsca89UaAyFEOGp73YKy7I6twNZltUJws19HWo0GigU\nijqvl2vXrmH+/PnYunUrfHx83vi5ENJWtfnQMWXKFHz00UcICQnhuxRBSktLw7Rp0xAUFISnT5/i\nrbfe4rogrq6ugp2OyrIsqquroVQqdbY4tgQFEP41df1GzS6IWq2GhYUF1wWxtLRs8HWobwbHzz//\njM8//xx79+5F79693/SpENKmtfnQ4efnh4kTJyI1NRW2trb46quv4O/vz3dZgrB//37ExMRgz549\nCA0N5bogUqkUaWlpePz4MbcWZNiwYdyWQb67INpTPzUajc6OA0OhEGJaLV0w2tDrsPatGH0zOFJS\nUrBr1y6kpKSgS5cuBntOhLRVbSJ0iMVilJWV1Xl89erVWL58OUJCQpCYmIiLFy/iH//4B+7du8dD\nlcJTWloKtVqNXr161fvnSqUSZ86cgVQqRU5ODrp37w6JRAKxWAwXFxdeuiD6FgAaCwUQ4zLkDpXa\nr0MAaNeuHXeLxtHRkZvBwbIskpKScPHiRezevRt2dnYGq0Of1NRUxMTEQKPRIDo6GrGxsUa/JiGm\n1iZCR0MiIiKwbNkyBAcHAwD69u2L3NxcODk58VyZeWFZFr/++ivXBXny5IlOF0TbrjZmF0QIW3kp\nhBiOMbfEal+HVVVV0Gg0AIA7d+4gLS0NoaGhOHLkCNRqNZKSkt7o1lxTaTQaeHl5ISMjA66urggI\nCMC+ffvg7e1t9GsTYkptPnRs2bIFDx8+RHx8PAoLCxEWFoaSkhK+yzJ7VVVVOl0QZ2dnrgvSo0cP\ng3dB+BzFrg8FkJYxxUjzmluoHRwcAPwROpKTk5GWloaysjKMHz8e4eHhCA8Ph5ubm1HrOX/+POLj\n45GamgoAWLt2LQBg2bJlRr0uIaZm/AgvcFFRUYiKisKgQYNgbW2NnTt38l1Sq2BrawuxWAyxWAyW\nZVFcXAypVIpFixbh6dOnGD58OMRiMQIDA2FtbQ1ra2udLohSqeS2uTbUBak9MVIIo9i1av/ypBDS\nOFMEjpq34GoO/erRoweKioqwcuVKiMVinDhxAmlpafj0009RWFiIjh07Gq2m0tJSuLu7cx+7ubkh\nNzfXaNcjhC9tvtNBTO/169dcFyQ3Nxc9evSARCKBRCLBW2+91eQuCABuYqSdnZ1gtuk2BQWQukwV\nOBQKRZ2ZLY8ePUJkZCQ+/fRTvPfeezqfw7Ks0W/VHT58GKmpqUhOTgYA7N69G7m5uUhKSjLqdQkx\ntTbf6RCS9evXY+nSpXjy5EmrXilvZ2fHhQyWZXH//n1IpVIsXLgQz549w/DhwyGRSDB06NAGuyAA\nYGlpaXaBQ6PR4FCyl87ak7YeQkwROPTN4Lh9+zZmz56Nb775BoGBgXU+zxRrg1xdXSGXy7mP5XK5\n0W/pEMIH6nQIhFwux8yZM3Hnzh3k5eW16tDRkNevX+P06dNcF8TNzY2bC6Ltghw/fhxeXl5wcXEB\nAEHMBWkq7SwIW1vbBk8lbUshxBSBQ7vIuPaan5ycHCxbtgy7d+/G22+/bfQ6GqrPy8sLmZmZcHFx\nwdChQ2khKWmVKHQIxOTJk7Fy5UpMnDixTYeOmliWxb1797gdMc+fP4eTkxMuXryI/fv3IyAggPt7\nQp+O+ibDylpzADFF4NA3g+P48eP45ptvcPDgQTg7Oxu9jsbIZDJuy+yMGTMQFxfHd0mEGByFDgE4\ncuQIfv75Z2zYsAEeHh4UOuqhUCjwwQcf4Pr16xCLxbh06RLc3Ny4k3K7d+8u6Omo9R2P3lKtJYSY\n4pRYbdCruciYZVls27YNqamp2LdvH9q3b2/UOgghf6I1HSbS0ICyNWvWID09nXuMcqAulmURHh4O\nT09PXL16Fba2tmBZFkVFRZBKpZg3bx5evnyJESNGQCKRICAg4I12xBiSdqeESCSCo6OjQQJPzV/W\n5hhATLUlVhv0HB0duf/PDMMgISEBpaWl+OGHHxq8xUUIMTzqdPCsoKAAoaGhsLe3BwA8ePAArq6u\nuHDhArp3785zdcJx+/ZteHl56f2lXVlZiVOnTuH48eO4dOkS3N3duS27TemCWFlZNXo2R3M15XRb\nQxN6COFjBof2312lUiEmJgbOzs5YvXq1IG67EdLWUOgQGLq98uZYlsXdJkuJUQAADs1JREFUu3ch\nlUqRnp6OV69ecV0Qf39/nfv6xp6O2tiCUWMSWgAxVeBQKBR1xuArFApERUUhPDwcc+fOFexCY0Ja\nOwodAuPp6YlLly5R6DAghULBdUHy8vLQs2dPrgvSrVs3g3dBlEqlQU63NTQ+Q8hPOwY16aTXN6Fv\nBkd5eTkiIyMxb948vP/++xQ4COERhQ7SprAsi8LCQq4LolAoMGLECISHh2PIkCE6iw2b2wWpuY7A\n3t5eUNNRazNlAJHu8eOOm2dZts5Jr4agbwbH/fv3ERUVhXXr1nHnK7U2LMti1KhRWL58OcaOHQsA\nSElJwffffw+ZTMZzdYTootBB2jSFQoGTJ09CKpUiLy8PvXv3hkQiQVhYGLp27drkLgjw53TUmqO1\nzQHLsgj/v0tG+dq1b6lo/x21IcTCwgJWVlZv1AXRdyvrypUrWLhwIbZt24aBAwe+8XMRshs3bmDy\n5Mm4fPkyVCoVBg8ejLS0NHh4ePBdGiE6KHQQHUuXLsWxY8dgbW2NPn36YNu2bUY9c0JIWJbFnTt3\nIJVKceLECSgUCvzlL39BeHg4Bg8e3GAXBPhzOqqQOxy1sSyL169fQ6PRcNt5DdUFaWwNhyHW1NQ3\ngwMAsrKykJCQgAMHDuicadKaxcbGwsHBARUVFejYsSOWL1/Od0mE1EGhg+g4ceIEQkNDYWFhwZ1w\nqT3xsq2pqKhAVlYWZDIZ8vPz4eHhwXVBnJycIBKJcPbsWXTt2hU9e/YEAKPviDEk7aJLkUjUYHem\nuSGkpQtGmztfRbt2pvYMjv3792P//v04ePAgOnfu3KJazFFlZSX8/Pxga2uLS5cuCea0ZUJqotBB\n9Prf//6Hw4cPY/fu3XyXwjuGYXS6IJWVlejVqxdkMhm2b9+OkJAQAOYxHRXQv+iyMY0FEEPtUGFZ\nFgzDcLdhav47Wlpaorq6Wqc7o/2cxMREXLlyBTt37oStra1BamkqIXQJ//Of/6B9+/ZYsmSJSa9L\nSFNR6CB6TZgwAVOnTsW0adP4LkVQGIbB0qVLsWfPHkyYMAHXrl1Dnz59IBaLERYWhi5duvAyF6Sp\ntGsgai+6bImaIcSYW2JZluXWgqhUKgCAlZUVfvnlF/Tq1QuOjo6Ii4uDSCTC119/zcstLiF0CePj\n4+Ho6IjFixeb9LqENJVw9vMRk9E3HTUhIQETJkwA8MekVGtrawoc9Zg+fTru37+PgoICdO3aFQzD\n4Pbt25BKpYiOjkZVVRVGjRoFiUQCX1/feqejVlVV8dIF0R44V/vgs5YyxewNAFxYUyqVsLS0hK2t\nLTQaDTZv3oxDhw7B1dUVHh4eSEhI4K2bJBaLuf8ODAzE4cOHeamDECGjTgepY/v27UhOTkZmZqbJ\nW9TmID8/HwMGDNDbJXj16hUyMzMhk8lw+fJl9OvXj+uCdO7cmbcuiFDnhzSFvttBL168wPTp0+Hr\n64vKykqkpaXh1atXmDdvHq8LKfnqEsbHx6N9+/ZYtGiRSa9LSFNR6CA6UlNTsXjxYpw6dQpdu3bl\nuxyzxzAMbt26xa0Fqa6u5rog77777hvNBWkqQx84Z2o1Z3BYW1tzgePhw4eIjIzEqlWruPkUAFBU\nVIRnz55xpxAbUlO7hPn5+dTpIKQeFDqIjn79+qG6upqbiBoUFISNGzfyXFXrwLKsThfkypUrePvt\ntyEWixEaGmqULoi+c0jMhb4ZHDdv3sScOXOwceNGo4SLlqIuISENo9BBCE8YhsHNmze5LohKpUJw\ncDDXBam5K6MlXRDtCbe1zyExF/rWn2RnZ2P58uXYs2cP+vbty2OFuqhLSEjjKHQQIgDaLkhGRgak\nUimuXbsGLy8vrgvSqVOnZnVBtLckrK2tYWNjY3aBQ98MjqNHj2LTpk1ISUkR3CnM1CUkpHEUOoig\npKamIiYmBhqNBtHR0YiNjeW7JF4wDIMbN27g+PHjyMzMhFqt5rogPj4+DXZBLC0todFoYGNjY3Yt\nfn3rT1iWxdatW5GRkYG9e/fC0dGR50oJIS1BoYMIhkajgZeXFzIyMuDq6oqAgADs27cP3t7efJfG\nK5Zl8fvvv+PEiROQyWS4fv063nnnHa4L0rFjR66TUVBQAHd3d1haWoJhGEHMBWkq7Uh2hmFgb2/P\nBQ6GYfDZZ5+hvLwcW7ZsoUmbhJgxCh1EMM6fP4/4+HikpqYC+HOwknbQEvkDwzAoKCjguiAMw2Dk\nyJEoKytDRkYGcnJy4ODgYDbTUYE/F7wCugfmqVQqzJ8/Hz179sR///tfQdVMCGk+89qsT1q10tJS\nncO53NzckJuby2NFwmRhYQEfHx/4+Phg2bJl+O233/D3v/8dJSUl8PDwwJIlSyCRSBASEoIOHTpw\nMzlqrgVRKpWC6YLom8FRUVGBqKgojBs3DnPmzBF0l4YQ0jQUOohg0C+V5nv+/DkmT54MFxcXZGRk\nwMbGBteuXYNUKsW//vUvsCyLMWPGQCKRY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B+K/V0mDz+bzuuAniZjC6oNEdaQOBgCV+ZjVtbLSiqVWuFj3nl7tkSA0VAHVV\nYtxK9GZssGykyiCZXwSfzwe3241bb70VCxcuBDD4+ZazadMmjB07FmPGjAEAzJkzB88//3yBcJg6\ndar0/9NOOw3vvfee5tcynAMTHQ6Hjt5XS4M1I26i0rHJU3EzmUxB8SAzULsuI/1anGzgIwtkuSqT\nQ6moltNQi1FQ6/Tq1JohThuPGvQYg8Fg0eN9fX0YNWqU9HtXVxc2btyoerzHHnsMF110UUWvZVQX\nJjocCrkBZjIZ9Pf3o6mpSfri0pYFOg1WL0Z2+XT7eSNjqAQzrBulHnOaINFaVKtaaaS1glK6rlI2\nEvmMsHkuRkkEaZkfPXP4yiuv4Fe/+hX++te/6n4to/ow0eFA6DRYAAU3OqXW73ZSbgxWLdp0GWa7\nu9E6jXJZMtVII7WSau3my7m+yDzTotDOeXaaOFYik8locvl2dnait7dX+r23txddXV1Fz9uyZQs+\n//nPo6enB83Nzbpey3AGTHQ4iHJFvsxebCtNRXW73bYu+CQzJ5FIVKUb7VBASxopoC9w0kmmeyeN\nQ8n1Vc1y+U6ZG6D4M6O1RsfkyZOxc+dO7NmzByNHjsSqVauwYsWKgufs27cPl112GZYvX46xY8fq\nei3DOTDR4RDUinyRMtDxeLxqi61Rd4ZRiBDzer11a93QSyWBk8xVUB75okrPs5Zy+WolxWsVct8q\nh8fjwcMPP4wZM2ZAFEXMnTsXEyZMwNKlSwEA8+bNw913341Dhw5h/vz5AACv14tNmzapvpbhTFjK\nbJVRK/JF+qiQzJSmpibTF9v+/n4Eg8GSfVD0pKKS5yeTSTQ2NhoeHxE76XQaXq8XkUjE8DGBwjHS\nQg8YNJ97vV5bq6fKSaVSBYuYVdAuGbJI0osocaFVW+TZNR9aqOTzYVa6rpxcLodkMqlpUbcLeQrv\n9u3b8Ytf/AKPPfZYlUfGcArM0lFFSJEveRqsvDlaPB6vythI+3kSu2EntNgJBoNF5ZUZxinnkgEG\n65bQlhCWJaOfek7XTSQSjhJFjOrDREcVkBf5otNg0+k0kslkQXM0K8t2Kx3XSPt5o2NVcuVU2qCN\noQ/54hiPxyXBV83F0UnGWDPGojddVy0t2kkxNwT5mOLxOCuBziiAiQ4bITeWbDZrapEvs6CtG3rb\nz5sBy0xxHmTBI5SrZWFVvIKTFlcrxlIuXVcpLdppKAkyJjoYcpjosAktRb5IgS2lPHcrLR3yMup6\nrRtGKRfu0E4nAAAgAElEQVSoasX1k+smMR0ej8dSq1KtoLQ4lsreYC6ZytCSFk1cYCTmxSkBqvT5\nWbM3hhwmOiymVBqsngJbVi2EpEmcWe3nK03DtdO6QcY4MDBQUP+DhrgNqn0DdzrlsjdqOV7BbuQx\nOIIgQBAEuN1uR3TXVbN0sJgOBg0THRailgZL7+y1FPmy4qZBdqiZTAaBQECKH7ELMgeCINgaqEpb\nnAKBANxud0ERtlQqVRC/wNqj64eICqUAVbXy4kNF4DkpjoLcU7xeb9l0XbuKxMmPy/M8Ojo6LDkX\nY2jCRIcFqKXBApDcGHp29mab/En8iCiKUst1s9AyVtq60djYWHYOzLp+Om7G5XIhEAgUvUfk5kza\notPFtdiOvTLKlXEvt0Nn7i5llARQKcFXaZE4I+NhMR0MOUx0mEypNFgSpBkOh6tSc4DOjiG7fDsX\nzWpaN+jr9ng84Hm+7OtKpZTaGURZayjFK5QqqMVER+XIBR8AaZ7tyEhiMR0MOUx0mESpNFijQZpm\n7PTJLh+AFD+STCZNv6GrjVWvdcMsSM0TOmZFFMWCMWo1mSvt2OWLJWDNLrLWKbVDJ26vcimkduAk\n90qlY5GLilJiWs9cK42H1elgyGGiwyDETMzzvBQnYHYarBHRoSU7xkrMsG5Ucv202AsEAgXvi1mo\nBVHKd5FDsfsrme9qjZWe22w2C5/PB5fLVZC9QVwyQ21unUY59xdJ162kZL7W3iuM+oGJDgPQQYnk\nhyyQZKG3asHTAsmO4ThOMTuG4zjLKn0Sy08ikYDX6626dcMulHaRSt1f5btIRmmI9VAthbQee5xY\n5XbSkq4r767rcrkK2gkQEomEae0LGLUBEx0VoCUNVm2hrwS9O/1y7eethJwnkUhUpYQ6qaZKV3TV\ng9lBu6XiQrLZLNLpdNHNm8UwaKPc3BJ3l1kuGSe+L3Z+r5XmWl6fheM4ZDIZ7N27F21tbczSwSiC\nbbF0QgJFBUGQdgPkiy8IAgYGBhAIBBCJREytGqj1hicIAmKxGERRRDQaLelOsaIQFrnRA4OxI2YI\nDi3jJPVGeJ5HJBJBKBRy5A6XCAyfz4dgMIhwOIxgMCjVWkilUpKgzWQyRfEn9YjemBsyt6FQSJpb\n4u5KJBKSICeVgfXixM+V3ZC59nq9CAQCUnA8Ec0///nPMX78eGzduhW33347li1bhl27dqnOd09P\nD8aPH49x48bh3nvvLXp8+/btmDp1KgKBABYvXlzw2D333IPjjjsOJ5xwAq655hqk02lLrtkqItwR\ni5wdPy0tLVW9XtZlViOl0mAFQZCasllR4IoEfJZKbZVX9fR6vWVvjul0GoIgmLITIR0vSV0SM7vi\nEutRNBpVfJzuFaNFbORyOcRiMTQ3N0vvKRkrsTzY3eCOJplMSp8vEh9idwv6fD7vmF2qvHOpEZQ6\n62qtY+GkOQGc1X0XgGTt8Pv9AAa/S7NmzcJVV12FN954A6+//jomTpyINWvWFLxOFEUce+yxWLdu\nHTo7OzFlyhSsWLGioD39gQMHsHfvXqxevRrNzc346le/CgDYs2cPzj33XGzbtg1+vx9XXXUVLrro\nInzuc5+z78INwnEcXgwea9v5Lk7+s6obGeZe0UCpNFiy0Pr9/oLFy0zKxV5UWtXTLEsHCdj0er2I\nRqM4fPiw4WNqwYxeMU7ctdK7SKC434ncn17rsQtmUsolwzKQjCG3SBEr65e//GXceuutACBl0NFs\n2rQJY8eOxZgxYwAAc+bMwfPPP18gOtra2tDW1oYXX3yx4LWNjY3wer1SN2Se59HZ2WnB1VmLy1M/\nny8mOkqglgYLFO6uGxsbJT+yndCipxrt5+2sPSIXR0RoEaFTy4sCWSgJagtltdNJhyJ6MjfoNHgn\nzK1TxqGG0viU0mf7+vowatQo6feuri5s3LhR0zlaWlrw1a9+FaNHj0YwGMSMGTNw/vnnGxt4FXAH\nbWzgN2DfqZRgokOBUt1gSWaEKIoFu+tcLmdpNLn82LR1odLMECOWDrl1g765WBGMSaBTcKtVZK3a\naF0oWQl3/ZTK3CCbChIozixNhZBKv3LKzYuRedu9ezd+8pOfYM+ePYhGo5g9ezaefvppXHvttRUf\nsxpw3vr57DDRIYN0HiUFcujdDalqqZQZYUVQptKxq13ZtJrnN6vAmJXvlVnoGV+5FMehXsK92jt6\nYmkidUJCoZAjXDJO+wzLx0PEcDk6OzvR29sr/d7b24uuri5N59y8eTPOOOMMtLa2AgAuu+wyvP76\n60NOdDD3Sh1SKg3WrCJfRseXTqfB8zx8Pp8pLgW9i28p64aR45aDuBNIx0qr3UjVvpmbsViVil1g\nJdwrg7Z66i0tbpWlyWnvFz2edDqNQCBQ9jWTJ0/Gzp07sWfPHowcORKrVq3CihUrFJ8r/26OHz8e\n3/ve96QWB+vWrcOpp55q7CKqgDs4NDYAZsBEB0p3g9VazdPK3TMRRMlksiqip5rWjWw2a2lmkJyh\nYAWpBCWXjFKdBXqnztCOWlG4egr+lVuktGb6eDwePPzww5gxYwZEUcTcuXMxYcIELF26FAAwb948\n7N+/H1OmTEF/fz9cLheWLFmCrVu34qSTTsJnP/tZTJ48GS6XCyeffDJuvvlmy67RKjh37XwOylHX\noqNUGixJ03S5XJqKfFmxWNGlvAGYHjCpZcx0wKye8xudC7rAWTAYRDKZZAuhidALoFoJdwBSVgAr\nM64PteBfNZFXiUum2m6nchDLpBZmzpyJmTNnFvxt3rx50v87OjoKXDA0X/va1/C1r32t8oE6ABcT\nHbVPKesGqXdRSTVPs24EtEsnFApJOyW7MJKOanSctOAjtTmSyaShYypRixYNI9C7dZKG6PP5WAn3\njzHy3VYTeUSEWN3t1Q6ULB2s2Zs2OBcTHTVLuTRYnud117sAzPOt0gGrpG+LVZkxapaOSq0bRqHd\nWbTg0xqQphUn7w6dRKm4EHmZcXqRNHN+q914zkpKddZViruRz+9QsHQ4pZCa03H7bEyZrTJ1IzpK\nBYqaFbNAFshKbwRK7eftxIxiW0Blria5dcOOHR5x4WSzWXg8Hrjdbmb9KEG5VF0zXAb1jN64G/Ic\np8yvfCw8zzPRoRFm6agxSBoscVcQkx8dM+H3+w3v6iuN6ygXsGpVcCN9XCdYN8oF65pNf38/3G43\nPB6PZGGiO2WyOIbSKKXqlnMZDOX5tHuBL+WSIXFoPM87wiWjdH9ilg7tsJiOGoIsJqRwDfmyiqII\nnudNbX9uZIfPcepdaa3OqIjH44atGzRax6vVsmOmOZlYNwAgGAzC6/Uik8kU9F4hJeeHen2LaqDk\nMqi3LA4rofvEEMusHpeM1bCYjspweZl7pWYgNzTyQ3bWdMxENW54dHaG1oBVs3datKvJbusGiVux\n07pBu3AAKAossnMnTatYfQtjqGVxVLuwVq2g1+VlZ3XaeDyO5uZmy89TCzD3So1BxAYxS+bzeUti\nJrTu8PXGL5h9g6BjNwDY2ga+GnErSi4ctaZ0HFfYXE/Nz876nlRGuUWSLuHuNKuSk+J91DYgeqvT\nmpWFpDQenucLeqow1GHulRqE53mpbXkkErGsOmCpG1Ml1g35642OWx67cfjwYdMtKErzoJSVo+ec\nlQbpmi1yyi2agiCwYEodlFskiTWOrhdSTTEyFN9HPVlIZgrnRCKBSCRiePz1gMvD3Cs1RX9/P4DB\nDofJZNLSG4ea6Ki0/TzB6JjNykyp9NyJRAK5XM5W6wYJErbSjVZvwZR2QC+S5HPr9/uZi4vCiNVF\nr7VJy2dWaUPAYjq0w9wrNQZR26IoWmoiVfpS0sXGjPQNMRJMWiozxYogVbq2hh0Lvxxa5FSjbLxa\nMGUtNF+rBixVVxmzrk+PS0YuQuggbzlay6Az6su9Uhd3OnKzsjoLRH78TCaDWCwGYLCEudWNyuSQ\nJmkkXz4cDhfdqKyak3w+j3g8jlQqhUgkgmAwaEs6Mplzt9uNxsZGVcFh9WdBfi6PxwO/349QKIRw\nOCwFzwqCAJ7nkUgkkEqlJPeMk+IHnAa9QAYCAYTDYYRCIXi9XsmNl0gkJJcqieMyipNqYliN2meW\nZAAmk0nwPI9kMimJEjlMdGjH5XHb9qNET08Pxo8fj3HjxuHee+8tenz79u2YOnUqAoEAFi9eXPS4\nKIqYNGkSLr300vLXqn96hjZ2iA56sQ+HwwiHw4Z3snoXSbL4kmBVO90poigilUqVXfjNRC6w7AyO\n1QvZuft8PgSDQYTDYQQCAal1ejabldJLM5mM5RY6JZyywGodB7Es0YskEfnEtcnzvCTslBbJoUS1\naoaQz2woFEIwGJRcYGROeZ5HT08P1q5di3Q6rSmmw8iCd/jwYVxxxRWYMGECuru7sWHDBtOu2U44\nF2fbjxxRFLFgwQL09PRg69atWLFiBbZt21bwnNbWVjz00EO4/fbbFce/ZMkSdHd3a/pM1oV7hWBm\nvQc1stksUqmU6UW2tIoOvbEbZu746XP7fD6EQiFTjlsOsqh4vV5bU3/NQu4+ILUsiAhhwan6qVbw\nZL0gd8kIgoBsNguv14v9+/fj2WefxebNm3H22WfjzDPPxKc+9SlMmzYNn/zkJwuOQxa8devWobOz\nE1OmTMGsWbMwYcIE6TlkwVu9enXROG699VZcdNFF+PWvfy1lBQ5FqhnTsWnTJowdOxZjxowBAMyZ\nMwfPP/98wXvQ1taGtrY2vPjii0Wvf++997B27Vp84xvfwAMPPFD2fHVl6bDyhpLL5ZDJZKTFXsmV\nYTXVtG7Q5yZmWDNRy4hJJBKIx+PS7raSObc6xkUv5IZut/ugllHbqbvdbuRyOaRSKSQSCcldoGRd\ncor1B3DWWABIxRc9Hg9uuOEGrF27FpMmTcKTTz6JE088ET09Pfjud79b9Dp6wfN6vdKCR9PW1obJ\nkycX3c9isRjWr1+Pm266CQCkIP2hSDXdK319fQWpzV1dXejr69M89ttuuw333Xef5nt+XVg6lBYV\ns76wdLAk2S1ZsdiXWgyNdoQ1smApnTuVSkEUxYqPqYVsNot4PG4oG8hpN+5SsOBUcykXPKmUdcSE\nnT44jsOUKVNw6qmn4pZbblF8jtKCt3HjRk3Hf/fdd9HW1oYbb7wR77zzDk455RQsWbLENgurmVgZ\nSLph/0Fs/OCg6uNG7oG/+93v0N7ejkmTJuHPf/6zptfUheigMXMnKy+lTtcVsAKlcafTadN6x+iF\niC073Rp0oa9Kap3UCqXcByyttDK0zCn5nc1pIXIBr1XQG5m7bDaLN998Ew8//DCmTJmChQsX4r/+\n679w9913V3zMamGle2XqyGGYOnKY9PtDW3YVPN7Z2Yne3l7p997eXnR1dWk69uuvv441a9Zg7dq1\nSKVS6O/vx2c/+1ksW7ZM9TV1txUyQ3SQha+/vx8ej8eWYEn5lzOXy2FgYADJZBKRSKTiwMlK5oO4\nNehAWTtcFKIoor+/H4IgIBqN2toczumUC04l2QbVDE6thGpao+RzSqwi8jkt5ZKxiqFgpdMyRiML\nXldXF7q6ujBlyhQAwBVXXIE333yz8gFXEc7lsu1HzuTJk7Fz507s2bMHmUwGq1atwqxZsxTHKf98\n//CHP0Rvby/effddrFy5Eueee25JwQHUiaVD/sE3cmMgFS6VSqlbGQ+gVPvC7/ejoaHB1ptPNYI2\nyXXzPG9Jr5ahcAPXC6ucaj7EHUNvMOiS+JUU1aoVSEyHXugFb+TIkVi1ahVWrFiheg6ajo4OjBo1\nCjt27MAxxxyDdevW4bjjjqto/NXG5ane/t/j8eDhhx/GjBkzIIoi5s6diwkTJmDp0qUAgHnz5mH/\n/v2YMmUK+vv74XK5sGTJEmzdurUoJZplryhQ6Q1AqX+HXTUv6DHE43GIomh7Z1yzipzphaTC5nI5\nqVaA2dTDoqC3cqoTAmqHAiR2xs4+J+Q8Tv7cahUhRhe8hx56CNdeey0ymQw++clP4vHHH7f60ixB\nyQJhJzNnzsTMmTML/jZv3jzp/x0dHQUWKSWmT5+O6dOnlz1XXYoOvTdTLe3nKz22FohvOZ1OIxAI\nVM26oTVo0ywXFl3N1Kr+ME6+cVtNqeBUkhHjlJ4nTkDLZ7pcqi7p/1RrsTby7xLpIK0FIwveSSed\nhL/97W8VjNhZsDLoNUal8QZarBtWQ0p6W1X7otR80A3q7LZuyMuYk464DOugF0xS4I31PClE77WW\nc3NVWsK9UneGXcTjcdZ3RQecDf2onEJdiA4araJDb/t5PcfWgjx2w44maTSVXD/ByDyQPjF2xauQ\nBYD2vTO3wiBKCyYdw2BHga1as0bpdXMNlbgQ+fvEmr3pg1k6aphyCyK9u9ebkmmW6FDa6VtV+0I+\nZiPXbwRiyhcEwbYuuHRQMNk5ulwu6Xen3+itROlzzIJTraGUm4uUw5c3W3O6MI7H46zvig6qHdNh\nJ3UhOrS6V8xoP2/kZlAuM8XqG40R64YcPWOVz7vSImW2FYmkPNLuKjqWgczDUNptmk25663VXbsa\ndgnRcnEhxCVDfpwg7pQsHUx0aEetEVstUheiQ45SeWMzMzMquTmVa8du1Q2F4zhpATar4JbW11Yj\nZkQURcTjcQBAMBiEz+dDJpORbvQcxyGXyyEYDBYUhiK7TbOzEGoNVjnVfJQsTMlkUirhLrcw0RlI\ndsHcK8Zg7pUaRC1bgVgWKrVuyM+hF611N6zKjKE7RJbKzDEbM60qWiA9S0hUfSaTKXnOUvEMtZyF\nYDascqr5kLnxeDwFn08niTtm6dAHEx01DFm86Z4h4XDYtBgCPamY5awbVkIWYdKCPhKJmHajL5cR\nU0kZcyOii55nIqz0lqtXEyFkAaWDKtniqY7e4FQntaB3cpxPNcWd0veSxXTog2Wv1DDEnRCLxUxv\nP08otzhWUlXUTEsHCaAEBl0M5IZkNfR57bKqWJUNQ9/ASfdXM1Ih641ywakkVZq4E9g8DlLuXqBV\nJMutIWa5VXmeR3t7e8XHqjdYIGkNQsQGyQKJRCKWdYMtRaXWDbMKbhEXQyAQQCAQgCAIptfAUMqI\noV0bdtQ7KZcNY7a7Si2o0qzMjtfHnA4xKSIv5MF5B18z7YOhXxRJjnweiauA1A6pteBUI+i5ZrlI\nBo58PknhwUpLuCtZgFhMhz6Ye6UGSaVSUs8Qq9rPA+qLWbV7ppTqGWMlZrmQ9IgEedt7vTdns8SI\nvES2UmaHlps8ERwA4A4O7ohy2TzWD59Sk8JDjpLrwO74BaenqFaCfJ7MLOHOYjr0wbHsldojn89L\ncQsDAwOWnUdp0TJj4a10MZSXEw8EAhVXaNVLNQp9VaOCqla0ZnaQ5+bzebxx9FTlY3k45LJ5/LXz\nVHyqb5Nt1+AEqhm/4BSLihXxJeVSdeXB03RdGyVLBxMd2uE45l6pOUKhkHSDt4tyC34lx9ODVrFj\ntuggfnme520LkCWpsHZlw5iB2g6etEn/n1OmARi0bohJES5P4WfHGxl83VtTz8KkN161d/A2obXf\nSbUrp9Yi5eJtSNwSER6iKErzykSHTurIveL8O7PJWLmzp49PuqOmUilEIhEEg0Fbal8AR2IoYrEY\n3G43GhsbVRd+s2+8giCgv78fABCNRk0THKXcVqlUCv39/ZJFxe6S9WZBRAjxu/sajsydr8ULX0uh\nS5C4WjKHa7svjd7PKFksfT4fAoEAQqEQgsGgVNeCuFqTyaQk8Jz2WShFtcZKx9oEAgGEw2GEQiFJ\nlKTTaSxatAjnnXceent7sXHjRhw8eLDkMXt6ejB+/HiMGzcO9957b9Hj27dvx9SpUxEIBLB48WLp\n76lUCqeddhomTpyI7u5u3HnnneZerM1wLpdtP9Wm+iOwGbLYWPnFzWQyiMVi8Hg8JRd8PWhdJInY\nSSaTiEQiCIVCtuzoSBVPO3c45FrT6TQaGxsNW5KcxJbTz0UmnoWvpfCzQ4QHLUDyQh4bJ5yBXC43\npBZPu1BbLEnWUTqdRiKRAM/zSKfTUlVaGiemyzphPLTlKBQKYdGiRVi0aBHS6TSWL1+Oo48+Gscd\ndxy++c1vFr1WFEUsWLAAPT092Lp1K1asWIFt27YVPKe1tRUPPfQQbr/99oK/BwIBvPLKK3j77bex\nZcsWvPLKK3jttdcsvVYr4dxu236qTd24V8gX1Movai6XkzJBrHIrlLr5VRJDYcaOnw7cbGxstMW1\nYXe8iN34GjzIxLPwR33gk6kC14qvxQtf1INMLPux62WwlkUymQSAIp97pUXram1OafRWTq3luTAK\n/VmJRCI477zzsGTJEvz+97+Hx+PBli1bsH///qLXbdq0CWPHjsWYMWMAAHPmzMHzzz+PCRMmSM9p\na2tDW1sbXnzxxaLXkxYGxFrV0tJiwdXZQz1lr9SdpQMw37ROuzNcLhcCgYDpgqPUTY/s+HmeR0ND\ngy7rhpG5IHEbAwMDCAaDBa4NK4LciIWK7Er1XutQYe/s/9D1/GCHD4FWL3acP1NyI5D08KHsRrAT\n4try+/0IhUIIh8NSarcgCEgmk5Irj1TwrdZcDgVBKAgCfD4fPB4PTj75ZFx00UVFz+nr68OoUaOk\n37u6utDX16f5HLlcDhMnTsTw4cNxzjnnoLu725SxVwWXy74fBSp1c/X29uKcc87Bcccdh+OPPx4P\nPvhg2UutG0sHjdmFtniel4I1SdCaFShVOyU7fqsKnamhJXDT7JtjLpcrcFsNhWDRSkgdTsHtcyPY\n4kZOzCPUEYDLzYH/IAUA8EU90r8u76C5NCeIcHtdimm6SrUYWKGt0siDKEn2hsvlYsGpMtS+51oK\nHhrB5XLh7bffRiwWw4wZM/DnP/8ZZ599tqFjVotquj2Im2vdunXo7OzElClTMGvWrAKLE3FzrV69\nuuC1Xq8XP/7xjzFx4kTE43GccsopuOCCCwpeK6c279oKmJ0mSgcw0rEbdgUoynf84XC4oi+x3vFW\nGrhphHw+D0EQIAgCQqGQKedUu+5qB5jumHWh6mOh4QHdxyMChN7B64llqDZO2dWTlFsnBKc6ZU4I\nSvEvWq69s7MTvb290u+9vb3o6urSff5oNIqLL74Ymzdv1v1ap8C5ONt+5NBuLq/XK7m5aNra2jB5\n8uSi+lYdHR2YOHEiAKChoQETJkzA+++/X/Ja60Z0mIkoihgYGEA6nS7KTLFy0SLHFgQBsVgMwOAX\nzqpCZ3LIdWcymbKBm2bNAzmnKIqDGR0Oq71hN7TwCDT54QsfMVbmc3lsOevskq9XciOQOSVWM9KT\niAWmqmNGcGotUYmlY/Lkydi5cyf27NmDTCaDVatWYdasWYrPlc/dhx9+iMOHDwMYjGX64x//iEmT\nJlU4egfAuez7kWHUzUXYs2cP3nrrLZx22mkln8fcKzpQKiNu546DxFCIoig1SzPz2GrXYna9Ea3j\nIecMBoMAYHq5doKTdo0AEGgKQOAF5MTBz6jLXX58Lq8beVF/czS1glCkBgPpBFzvrei1WBf0BqdW\nOpdOtHTIr0PL+DweDx5++GHMmDEDoihi7ty5mDBhApYuXQoAmDdvHvbv348pU6agv78fLpcLS5Ys\nwdatW/H+++/jhhtukKr8Xn/99TjvvPMsuT47sNK98uo/92L9jr3q5zbhsxSPx3HFFVdgyZIlZbMX\nmejQCF1GvFRmilWWDtK7A4Cp8QxO7BWjdM50Ol3RsYYSfTddXvC7y81JwoPgCbjhCbiROlw4H+Fh\nQeRzeXAuDttnXoDxv/9jRWMgsQyk14nf7y9b7bMeRYgWqlk5tZqQImFamDlzJmbOnFnwt3nz5kn/\n7+joKHDBEE488US8+eabxgbqJCzMXjlrwhicNWGM9Ps9LxamFht1cwmCgMsvvxzXXXcdPvOZz5R9\nft2IjkpjOvRaN6zIjCGlvUlmjNk3eaUAVaA6aal2npP44pPJZMEOtFokPkxI/w+3hZHLDlbP5Vwu\n8Af5gucGmvzS/+UuFjMpVe0zm80WBFTW0sJpBbVaOVV+70gkElI6K0Mb1SzaRbu5Ro4ciVWrVmHF\nihWKz1WK35k7dy66u7uxcOFCTeerG9FBo1UYaLVuyDFLdMgbl8XjcVOOWw5iVs9ms4odWq06p51d\nYYFBhc5xHILBYEEJcmCwNbfdXUwDjX6k+tPwhYvdZqHWUJHwkB5rCUFICuBcHPK5PHwN1sW9aCmN\nDZjXMt0prgSrep2Umku1zsROmRM1WIfZCqjiZseIm+vtt9/G8uXLceKJJ0oxNffccw8uvFA9IJ6J\nDgWMxG6YcTOgrRuhUAh+v1/TuCuFPq4gCFI3XiMpuHrGandxsUwmg1QqBbfbjUgkIokPj8cjCS6f\nz6fqi7dChMhdK0p4AkduTP5IAOmBlOpz/2/2xfjEc8UFlcyGWDWU0nRLLZxOXjSrhdpcyjsTk7nL\nZrOOKFymZOlgfVd0UuX3sFI315lnnolcTl8sWd2IDvkXU21BNNoC3qgwyGazUvCevP6FlZkxxNJg\nZ4dWkn6bSqUKxJWV5yPWFJ/PV3LxU2ulLggCUqmUZSIkPCwMISkoPuYL+5FJKMe2eIPegtd5/NX7\naivVCpEvnEyEaEMpOJXMoZnBqWbCRId+nNATxS7qRnTQKC3eZmWmGMmMoRdgn89n6404Ho/D7Xab\n1qG13DwQcQdA0znNEHO0NSWdTqvW6QAKd2/lAgLNECFiJgu378jXkY7noAkPa0Diw0E3Wzlrh1Mo\nldVBFlCrLUm1ArGEcBwHv9/viOBUuaUjHo8z94peWGv72oQOmKRNQkatG0Yh1T05jit5fiuCVFOp\nFHK5HAKBgOFOuFrPSafCklLTVp5PyZoi/wzo8ZOXCgiUixD6XzW0uFaAQWsGMCg2CKGWwoC9SEcj\ncmIembgxMWJl3ICSiFNLLdVaaMpqnBRHQc+HE4NTmaVDP05oxGYXdSU6CGTxtqLuht7MGLIgal2A\nzS6Gq2gAACAASURBVCzfToQOaaVu5o1IaR4qTb+tFNKTBoCqmCO7QCPzWi7DI51Ol0wzJSKCtlpE\nOhoHj+1yYWB/f0XjOnjbdWj98fJKL8s2SlmSSPl2QRA0i7h6oFRRvkqCU41891lMhwnUUcO3uhUd\nuVwOAwMDpls39GbGAOoLotKxjUILLSJ0BgYGDB+3HEZTYfUKA3K+ahRx0ytC5EQ6GiX3ihKhlhD4\njwYzWWgXS9PoFmRTg3EdgWjQ7MuyDXpustms5GosJeJYmq4yWoNTK3VvKX0nmeioAOZeqU2I2BAE\nAdlsFsFg0LIFSc0cq7To6zHrG9mR05YGWujYEaCqlgo71M+nhXIihEZJLEQ6GpGKJTWfTyoqlrGm\ngqvdqM0fmUM7aoU4zb1ixNJjReVUuaWjs7Oz4vHVJcy9UpuQPh7kS0vKa5tJqRuTGbEjlYqDdDpt\naxlzsjO1syusvK6JXa4qvdCL6OE7bpD+Hm6LQFQRCoFosEB4yGM51IgtmovoDx8zNF6nQc8f6XUi\nXzhZmq52ygVK6w1OZXU6KoBZOmoTnufh9Xrh8XjA88qFlsyADlgFzM2M0Usul5MaeKnFUVgRoJrN\nZiGKIsLhsCmpsKXGWEnqrVMWIOIOUUJrGp0/EoAnoGzRySZrv3x8vdUKsdrqoseypJTtlUgkEIlE\nLBtfTVJHMR31I68AqSMsqepnFfQCSYIZlTrSGjmuFjKZDGKxGDiOQzQatTxwEyi0Jvn9fstrb5DY\nHEEQ0NjYaPn5zMYfHdwRqokGgtvnQbgtolitlKbccYYalS6wWjrAkjb0WjrAOsm9Yjd0sHkgEEAo\nFEIwGITb7ZYywBKJBF544QX86Ec/QiwW0+TW7Onpwfjx4zFu3Djce++9RY9v374dU6dORSAQwOLF\niwseu+mmmzB8+HCccMIJ5lxktXG57fup9qVWewB2QtddsFp0kKh72r1gx6IPHCljzvM8GhoaEA6H\nS94wzZgPcjPv7++H1+uF1+u1pbIoucFFIhHbg4GNkrh7PgAg2NpY8PdSQaQ0RLAo0dDRhFBbtPLB\n1RgkhsHv9yMUCiEcDksihAQd10sbeqPQViVSZC8UCqG9vR0HDhzAyy+/jBkzZmDatGlYtGgR/vjH\n4uaDoihiwYIF6OnpwdatW7FixQps27at4Dmtra146KGHcPvttxe9/sYbb0RPT49l12g7Lpd9P9W+\n1GoPoBpYvaiQMuapVMqwdYNGy7gFQUAsFpPiRuwIpCQBqmZfLw197fl8HvF4HDzPW3a+auLyuNEw\nokXxMS1CIjy8WXLNBJojiC2ayxZRGSSOgRYhpAovaQXgVBHiJKsLGYvL5cJpp52G++67DxMnTsTm\nzZvxrW99Cx6PB6tXry563aZNmzB27FiMGTMGXq8Xc+bMwfPPP1/wnLa2NkyePFnxHjZt2jQ0NzdX\nPO6rrroKu3fvVn08nU7jrLPO0l3iu2I4zr6fKlNXMR3yL6oVX14S/e3xeMpaGCqhVFwD6deit4y5\nERFG92ppbGy03JqkN1hUDbusGXoJDW8GPr7RhUe0IPGvj8q+JtjaCCFROrslkUjUTEyDFWgJpiS/\nK9VaYRwhkUigo6MD3d3duOCCCxSf09fXh1GjRkm/d3V1YePGjbaMb9euXUgkEvjkJz+p+hy/349p\n06Zh9erVuOyyy6wflLt+luK6/NaYURBKDondIN1JrShjrna8bDaL/v5+iKKIaDRaUd8UvXNBXDgk\nUt0KgSU/Xz6fx8DAAEKhkOVt7+1A7kbxNxcH34VHtBSURwcGrR3EtUL+9YaPZGK5/cU7Q9qdII9p\nEEXRkQKsmpA4Bp/PJ8WBEZdhNpsFz/OSdU8QBORyOdvm0ImWDhri1i2FHePfs2cPxo8fj+uuuw7d\n3d2YPXs2kskkVq5ciVmzZgEA9u7di2OOOQYHDx5ELpfDtGnTsG7dOgDArFmzVFu8mw6zdNQ+ZooO\n4hP2+XyIRqNSWqzZyMdsVr8WvXNBmtK53W7VVFh5mXEjVFJIzelkFt8GYNCVAhSKBjmB1kakDmqr\nShpqLzQ553M5+BpDijv5Uv1P6G6m1cQpCyxxIdDzJ0/TBVBgBalXa1I2my0bv9bZ2VnQtbS3txdd\nXV2mj2XHjh14/PHHMXXqVMydOxc/+9nP8Ne//hU/+MEPAABHHXUU7rjjDsyfPx9TpkzB8ccfj/PP\nPx8AMHHiRLz++uumj0mROkqZrZ8rhfnqmrZuaAnYNBOSJUJnbRgtZazlOclkEgMDA1JWgNUmZjo4\nFYAlgqMaCwPncSNABZB6w4ESz9aGXLiQuI5cJgthSWEwXqmYBpLRQap/Oi2moRrIr58OppRndIii\niFQqZZk1ySlCDFAfS7nxTZ48GTt37sSePXuQyWSwatUqyfqgdI5KGTVqFKZOnQoAuO6667B+/Xrs\n3bsXI0aMkJ4zd+5cxGIxLF26FPfff7/0d7/fj1wuh1TKhqaKbrd9P1WmrkQHjVFLhyAI6O/vl9JR\n6WAnq+IF6KwYshCbkbWh5QamV+QYnQMSLJpMJhGJRBAIGF+Ulc7hWOTdZTtaCoSJPOOlHOXqdchF\niMfjkT5XLLtjkHKfd6U0XY/HI31n68GlpfWaPB4PHn74YcyYMQPd3d246qqrMGHCBCxduhRLly4F\nAOzfvx+jRo3Cj3/8Y3z/+9/H6NGjpV5KV199Nc444wzs2LEDo0aNwuOPP654Hvo9oyu50lZYnufx\n3nvvgeO4opYQdgm8PMfZ9qOEkfTlcq+Vw9wrOqHLbBM/uVnH1nJu4lIxs2FaucJbpCusXdVMSbCo\n1+uVgkXpzBWzMoHIuRKJhOTDJ51N7SLY3oxsmSBQt7f0++yPhpGOJQpf4/dCTKsXHisHiXsi1g/i\nSiBtBOhOuqwdvTLExULuEeVcWlrm0GlCRen7qLUE/cyZMzFz5syCv82bN0/6f0dHR4ELhkZrrMW+\nffuwYcMGnH766XjmmWdw5plnIplMYv/+/VKp9jvuuAPXX389Ro8ejc9//vN44YUXAAxaWd1utz21\nf6roXiHpy+vWrUNnZyemTJmCWbNmYcKECdJzSPqyPBNJy2vlMEuHDvSko5p9c8hkMpIKt6vmhx2p\nsDS0+4aY/OlsGLPPRQqL+Xw+aUdKTKmpVMqyHWnuF4tKPKgeBxNsL06jpS0ewWFNRY+HRrQhOLxV\n3wAVIJYQElhJKs1yHOf4FFOnUM6lpWcOnSzwnPTeH3vssfjpT3+K7u5uxGIxzJ8/H2eeeSY2b94M\nAPjLX/6C//mf/8Edd9yBa665Bj6fD08++SQA4K233pJcM5bDuez7kWEkfVnLa+XUlaWD/qLqER3E\nupHJZDSlo5pp6aDLmDc0NGBgYMCSrBj5eNVSYY0csxR0sGg0GrU0ViSXyyGZTCKXyyEajUolnskX\nigTJkl29U0tol3OxhEYMQz43+B74m6MQltwO7633l3yNVtRKZZMUU9oSUmk7eictXlaY2cul6cqt\nSU753NHIm88JgmBbEUQteDwePPXUUwV/u/rqq3HLLbdg3rx5mD59ekGw6G9+8xvp/2vWrMG1115r\nyzjzVawUaiR9uZLXOufTYTNaF0V5XQgtN06zMjfohT8aPVIUyko/Iy2w7OrSamczOrKjpANT5e8V\nWQzIgmp2Hw9XIAAxnSn6e7CjDXlRlMaQ/PfB4ue0t0BMFge2qVUn5VycJDyspJQIUWtHr1WEOG2h\ntYpyQo40XgMG7w1OrBUSj8cd1dZe6bPziU98ApFIBLt371at1ZFOp/Haa69JWS6WY+Fn/NW3/oH1\nb/2jxKkrP3clr61b0QGU3klVq9gWObcey4pRyHhJfIPL5TJsbdAyB6TWR6lmdErHrOSDTt5PIqY4\njpMsK+WQ++bNEiFu/5H31ddaXF0x2N6qKDxK4QkGkE2mEBg+DHmh8pgOo1gpQuoFpTkkmTHZbLYo\nTbdc91crkH8feZ53TIfZMWPGYMuWLYqPrVy5suRr/X4/Xn31VSuGpYyFn/2zTjkBZ51ypEfND5/4\ndcHjRtKXK3ltXYkOuXtFDTMXX72Us6wYWXjVoOMbjNT70IPcimPl+URRRDweh8vlkuqKZLPKLeS1\nYESEcE//EHkAvpZmiB+LHk+JGh3B9lZkDsUqGifn9RYID2+kejvQUiJEqc6F02qxOCFNlQgKjuMQ\nDAZL1gqhXVpWx2HRsLb2lVFN9wqdvjxy5EisWrVKNVBX/n7reS2hrkQHULhoyyewWsW2lM5tV7dU\nURQL4husvtnT12m1FYfOvAkGg4ZrmaihR4T4FVwd7kgD8oJ2EeRrbUbm4CEAgLepEcLhfvham5Ht\nH0wn9ATV04vzj30b3Nzv6rk8S1ASIUoLKHDElWD3Lt6p0MHVdKouYL4rUM94gEHR4ST3ylAhX8Xs\nFTp9WRRFzJ07V0pfBgYzivbv348pU6agv78fLpcLS5YswdatW9HQ0KD42pLns+OinIg87sJu1wIN\nvRMvd24zg1RJLIXP55NuTmahNE6jwaJ6rp0E4IqiaGp6sRZKiRA5bg3WB3/7MGQH4kV/9zbpq9WR\nE7LwRBpgUwsrXcgXUNqVwCp+akfps0c+fyRN10wRIrcAOS2mY8hQ5c+xkfRlpdeWoq5FB133IpVK\nmbYb1ro4kj4YyWRS87nNEB10RkwkEpHSHq3EzmBRus5HJZk3ZiNfCAjetmHIKVQ7LHADagjklYsP\nT2PhTd+uYFIzIQKE4zipMJzcHWNXVtFQzqIhnz2t5e+N1lthlo7KqKZ7xW7qWnSQOAbA/p4eZNdP\nan7YdW6lWAqlHbhRiDiSCxwrLQ56XDe0eHO5XAVWL6uKu7l/80BJK0O+xPvga2tF5sCRoFJfa3PR\n8z2NDcj2x+EK+JFLFVYg9Q1vQ/ajQ4oiR3EsslRIJ2BVQK9Wqi1ezUApTZcWcnpFiFwEMdFRIXXU\ne6XuRAcRG4IgIJvNSvETZt+crKrwaaSSqlo2jpUVVEm5djOCRUuNk/TBAfQLSDt3su7GRoj92pq3\nVUKRlcPrhae5Gcjn4GltRfbgQXiefwjZ/7jFsjHYRbVFSDUwO6BVT60QLfVW4vE4CyStALXy5LVI\n3YkO0kOEKHorenqoLY6kwmculzO069e7SNqdjUMsDvl83paUX1J7w64y7ZXCeYzVPPG1tUJM8IaO\n4QoEkNOYKjzUsDueoRbRk+pM7iO0EOJ5Hu3t7VUb/1Alz9WPe6V+bDofw/M8vF6vpR1hlURHJpNB\nLBYDaQdfqeDQM2ay+JOusA0NDapt6M3a7YuiiP7+fsllY3V2Cikd3dDQYHmZdrPwDBsGV6gwTdbb\n3gbf8OHwDR8Ob8dwfcdrPlL+3BUozHrytrcd+SWfg2sI7UKN7upJLANddpwEqeppwOaEdNlqQQQG\nXf4+EAjA5XJJ3/FkMomNGzfi0UcfxUcffYRQKFT2uFqahH35y1/GuHHjcNJJJ+Gtt96S/r5kyRKc\ncMIJOP7447FkyRJzLrTK5DmXbT/Vpu4sHZFIRFLuVpvVyfFJgzgzKnxqFQiVuBuM3Fzl6alerxf9\nJrsR6Gsn1hsi4oxmwlRzYfE0FxcG83YMR/bgR2Ve14TsocMFf3OFw8qWDM4F5HNHnlP5cIcspeIZ\nrAiqtIJqCyDaEkLitUjNkE2bNmH9+vV45JFHcO655+Kss87CWWedhYkTJxaMWUuTsLVr12LXrl3Y\nuXMnNm7ciPnz52PDhg343//9X/zyl7/E3/72N3i9Xlx44YW45JJLVCuLDhkcIAbson6u9GPoHHer\nRAddqjgWGyzsFI1GbSkpDgxmisRiMXi9XkQikbKCw+hNTN4YjuyErIoToa034XDYcQGPSnh/v1Tx\n7542dVO0p7W4wZt32DAAgLsxUvB3+e+ugL/I6kHgynStrReICCnXgI1kyjgpi8UpkCyj008/HY8+\n+iguvfRSPPXUU7j88suxbds23HnnnUX3Fy1NwtasWYPPfe5zAIDTTjsNhw8fxv79+7Ft2zacdtpp\nCAQCcLvdmD59On7729/adr1WUe3W9nZSt3cfK0UHOS6pzmemi6FcMKVdmSIEo43h9EDHitidbeRU\naNeKHHfjYCot5/UUFR/zPP8Q+JnzWGwDhZolhFSvJXFR1bSEVNvSQaM0lkQigbFjx2L8+PG45ppr\nFF+npUmY0nPef/99nHDCCfjmN7+Jjz76CIFAAC+++CJOPfVUE6+qOrCU2RpG/iUx+0tMzP4ALGmY\npiY6jJYV11teXWtvGrPmlzS8ItYbp9x4NRNuABcQke8/UtLcFSlf3MszfDhysUIXityqUe7vSnCh\ncMkuuowjIoRkvAWDQYiiKM2bvAusE90xdpNIJBCJlP4c6rnHyBk/fjzuuOMOfPrTn0Y4HMakSZNq\n4vPqhFgLu6g70UEgH3yzFkV5GXOe5235MhhpTFcpWiqomnXzpa/P7XZbVsqcxjIrmNsNrrkFSMTh\nCqkEdLqoa1PJdnH5/Mhl0oqP6UGp6BYRIWQOqln502nuDCJCCKXSS60SIU6qn6Jm6ShXp0NLkzD5\nc9577z10dnYCAG666SbcdNNNAIBFixZh9OjRhq7DCeRRP2LVGZ/eKmHWDYGk4QqCgMbGRvj9fsti\nGuTBlCRTJBqNGhIcWhZaEvXf398Pv9+vmg1jFmRes9ms6am+VrrX5Hj/shwghbwSH5czVxMdCriG\naUtBdDW3Dv4bDg9mqfiL08E5hWORNFMSIxMKhaT5SaVSmrM8rMAJlgO1jYlSZgcRxcTyyPM80uk0\nBEEoKEBXCyh9DrR0maWbhGUyGaxatQqzZs0qeM6sWbOwbNkyAMCGDRvQ1NSE4cMHs7r+/e9/AwD2\n7duH//7v/1Z14wwl8i63bT/Vpu4sHQUlpg0uPKXKmFu1qJEKoqlUSlf5dKNU0stEr8uGRq1sutlz\nSirD0jUcTH/f/EEgWaY2hoYy5a5gcSqiK9pU5H4BBt0nRX9rHwHk80BTK5CIw7t+BYRpVxcf82Pr\nhtvthtfrrYuiW2agp8ZFrbiy5O87yQAqhZYGYxdddBHWrl2LsWPHIhwO4/HHH5def8UVV+DgwYPw\ner342c9+hsZGfT2InEi+jvb/dSc6aIwIA7rQl1pQoxWig/iTRVE0NZiy1FzYHSxKUozl4saK8xKr\nDTA4t9lsVvLb00LE0LkzVOnx5sHsE6STug7hGtZ+xEqCQatG7tBgWXQ14UHDjegCstr769BisR4r\nf5qBFSLE6YGkHKetE3C5BmMA8PDDDyu+9tVXX9U5UufjhKwSu2CiowJhQHbhxMWgZno1m0wmg1Qq\nJdWmsMJfLP/dSLyI3vkljdo8Ho8pZdPVIEXFABQ0vCMCJ5lMSgunJb56meDIt40AR+bpw/2VH1cP\n0WYgra0Pi5x6EyFmLfSlRIhSJ13yORsqc+e0GJyhRK6OKpLWnegw4l7Rk5JqpnuFLJLZbBaBQACi\nKJp+I5IfT0uwqFnQbirSC8cqaGEDQCpyRENqD5BF1WjAYK5hMK3VFS+2RuSJ5YMwrGPwXyXx0doO\nHPw3EB4M1HNFqUqkUfXUWaupNxFiFkoiRN6ADSgUIblczjFzpyTGnGSJGUqw7JU6QY8w0JuSapbo\nkJ+XuFasgNz06MqiRuJFtMyBFjeVnuOpoSRsPvqodMVP+rxqO9RynTndW15SH1NrB5DLKj9YYZ8W\nruFj/7bPD6T4wWDSiEyQ5POSq8XzP79D9pRLKjqXGmaJkHpbwIhVg8ydkggh30+Px1PVzCIlmKWj\ncurJvVI/8koFLRkbiURCKvRlZc8W+Xl5nkc8HpeqJZKbkpVZMfF4vKCyqJXXSiq2EneRVcW+SEn4\ndDotZReVotwc01kLpSpZptMG0lqbWpX/HqbSEalI9HwjVUrdV+L66PdTIbvFCpSyYzweD3K5XNWz\nY5wMLUDI3JG/kWDyas6dXBRmMhlLrZS1TI5z2/ajhJFeOPfccw+OO+44nHDCCbjmmmvK3vfqWnSU\nW1Cz2SxisZhUAVNPoS8j4oBummY0FVYrxHXkcrkMNaTTAi2oGhoapBRNKyBpxeS6rBA2pcppS3i8\nyDV93HzNH0S+obw7JN/aAXhlxwmUb6alisEut2ahVYRks1lHlB93msXFqQJOS40OhjJ5cLb9yCG9\ncHp6erB161asWLEC27ZtK3gO3QvnkUcewfz58wEAe/bswaOPPoo333wTf//73yGKIlauXFnyWuvO\nvaIlpsOMgluViI5SKbhGjlvunMlkEqIowu/3l82x14PSWI3Eiui5drpYm11F0wgF5bR1ZIzQ5N3l\nBUI+0gQudrCi40vHcMBiquaOIbUtSGM/FhNSTClXVjabLcjAMnvu5GKMWGUZ+qlmTAfdCweA1AuH\nbsCn1Avngw8+kDbjPM/D7XaD53mpiJsadSc6gML6EWYuivJz6CkGpDW2wUzRQV+rz+ezvJcJyfqx\nuraI1g67lhcI276+4FcXPwAAEMONcGmsKJpr7YDroHpGSz7aWiQ8csEGuJJxIBBCLtQIl6CQpeIQ\nq4cSZCEFBj+jPp+PBaZ+TDmri1yEKHXStWrumKWjcqqZvVJpL5y+vj6cfPLJ+OpXv4rRo0cjGAxi\nxowZOP/880uery5FB4EWBlqsDFZB4gBKpeCaidK18jxv+nnIok5n31jdiE4QBMTjcfj9fgSDwaou\nRu5McS0Ooam9SARwWoQP5VbJNbXBdfiA9Hs+2iq1rdeC0DLi4xNzcPP9yO/cAG7c6Zpfbxdkga12\ndozT3Ct6KLC6wVwRomTpYKKjMqwsg75hw4YiEUGj5/2Ws3v3bvzkJz/Bnj17EI1GMXv2bDz99NO4\n9tprVY9T96KDfAlJ3Qaz/P5ay4qTxVhrcziju3M1i4pVu35RFMHzfMWN6GhKjZF2ielttGdZPEmw\nEVxOhDsxmCorNGkrZy4n19oBV6K/7PPyDY2KbpmcNyAJHUlwUPPoTicwlAp0V1uEVAszvp9aREil\nNWl4nv//7L17tB1lfT7+zHVfz8kJkIvmoAhJJZEKIUmDqKRSLgb7SxGw4qUBJCUrlQbUViwuXatF\nUb+gNj+jbaQKRUVYID8h8SRqWgneEqCkLC+1JEr6TYKAlpxz9p77vDO/P2a/735n9sy+z7ntedY6\nyb7Mfe897/N+Ps/n+WSko0ukmeZc+4Y3YO0b3sCe/79f+ELo/V564Tz22GM4//zzcfLJgfD9iiuu\nwE9+8pOmpGMghaT8j4iKNmn30qlw+ATqlRuCIGDevHkdDZLd3nymqloEqN/MaAO8NKt+aI8WKrzt\nd2ffXuEO1StRYlMdHcDLB5obny+D7SDKEYVbnt96oRmOQauO6efvqJkIOlqJRYW9FHGRjn5qwgYJ\nvi9M2V8UvfTCee1rX4v9+/fDMAz4vo+9e/dixYoVTc91YCMd9IZE7cTTCPmnIVLt5obTThSgn5EO\nqqnwfR/5fD5VESe9MUZ7tLSDXnrD9AvOyOI6aRBEqCd+m7DcQijjL7HnvqRAIIFI1S2fBLna6Dni\njiyEyFmw2yNBwyzBS8fnZaag35GQmdTZNW00i4REPWmilUWZpqN7eJg+TUcvvXDOOeccbNy4EatX\nr4Yoijj33HNxww03NN2f4M922t8FqtUqqtUqFEVhs+N+w3EcGIYRakbECzdLpVJXNzLf93HixAnM\nnz+/rcGy3X1Sptqr+pwnAa7rQlXVvtXuU5JYKpVY2a3jOCiXy12RxvHxcWaDbts2uza0zryX43Z/\n8zRkx2BdHWVjEkQthCIdJD8UPOBIBwAok79ny/i1klmi5KGMv8QiHQDqpKM0wkgHn17xcsFnSYmH\nWwq+54JHgvSKIMAXJUi2AWNoEXKvPoutS23+0xYXNwM1w+q39wNPQmjkoxkJoa0HpjuC5nkeDMOY\n1mhC1BgPAH75y1/ioYceQrlcxqte9Sr89V//ddNt7NmzBzfffDMIIdi0aRNuueWWhmW2bt2K3bt3\no1gs4p577sHKlSvx3//937j66qvZMr/5zW9w2223YevWrf09ySmGIAj41eH/O2X7O3Ppq6Y12jeQ\nkQ5CCBNsUi1Hv8FHDvopUu1E9NPJPjuttonbH08CFEWBpmmp6UQokRoeHu77LLTf+hYiqSDlUyDb\n9e+aUzwJohdfTmvNW4TcxIsNr/OEI3FfxWFIerz+w5NyEElj1YxTGIFqV2PWmF6kFYXqNBIygPOy\nRFBjPFEUYds2isUiFixYgJNOOgnf//738fOf/xz/8i//gnXr1mHdunW4/PLLQ8SVekLs3bsXS5Ys\nwZo1a7Bhw4ZQeSbvCXHgwAFs2bIF+/fvx2tf+1pmSuV5HpYsWYK3v/3tU34N0kCaQtKZhoEkHaVS\nKTTLSQN04OrE5rvTbSfdkNPYZzOkTQKi+5qcnJzyCqNOIRE78T1raCFEkmB/TpeJIR4kX4JkBsSF\nFIchV9r36LCHIyJWQQB8P4h6DE6vqVi0Q0Lo33QKU6c7FRgHURTxmte8Bh/5yEcgCAI+9rGPYcGC\nBdi3bx++9a1v4Yorrggt34snxKJFi9gye/fuxRlnnBEq45zN8PzBSN8BA0o6KNL2afA8DxMTE30v\nhW123HzJaCf7TMPMrN9N72zbhuu6qTum9gNWPkhl5MwJAGBRDk/JNyUcfL2+H3UjjcAdOpkRD7d8\nUtfHKhILEES4rtt7B905gCgJocZHnufN6eqYThBHgKrVKkZGRnDeeefhvPPiS7C79YQ4duxYiHTc\nf//9ePe7392PU5kRyCIdA4K0SAcVbgLouHyzl31G0xtpYiqjKbQzLB0I+kU40hKS6seeTSwLc/LD\n8aQjxpHQHF6E/GQ42mEPL4Q6WReUuiWuioXvgzG8ELIVpEw8NdxjxRelBjGpJyqhDrp0tj+IA2oU\nNKVAv3fTVaI7EyMdPNoRknbrCRHt8bJz587EHiGzERnpmONIsx0z7QpLb1BpDP5RsuS6LjRNPAN7\nZAAAIABJREFU6ym90W3H3TTNzKKdYem+09gPbRne73MxCicxvYReXgTFbTQMawWidNaYjRQD8bKb\nKzPiEQd9aDEAIGfVnFJffh6lV57OKrtc12UC2258G+YqBtUnhEfcPbMdn45ePCEodu/ejVWrVmHB\nggW9nMKMwiClVwbnTGPQb9fCaFdY+noaoDlm0zRRqVSQz+dRLpdT1VMkdb5NQi+RpLjOsGlEpmhD\nOGrRTitk+t1ozFUTRKAtPDbM4UUNr1FSAQBWsXVaxRhq3IY29Ir6+/l6tITO6gVBYL146LWnZDPJ\nt6HfmCkz+3asxwfJJyQJ7UQ6evGEoPjmN7+Jd73rXf0/gWmEB2HK/qYbAxnp4NGPEHu/+rW0C1pp\nUq1W+5beaDWg866taZ/jVERSaHSD6lF4d1rHcdjMNTpj7Ra2Wu4qysGD1IgLkfOQ3EaTMbswAtUY\nb7qNuAoW0Sdw5Vzs8VESQr9f9LrRKEgvDpZzFWlFQmYKCQOSNR2tSEcvnhBAQGz27t2Lu+66q/8n\nNY3I0itzHP0SO7YrpOz3jYJGHKaqV0u3BlydluFOVWdYqkfxfR+lUgmKEugZ+EZjrusil8uFLKL5\nATiJhLzw0ssY8QO9RDtNnKrlV6BcjTcEozDKi1CoNpbQtgM31zgIVMuvgOgT+IIIoRZpceRCW6Qo\njoQkmUfJsjwnUwudYlDSMdR9uBXWr1+P9evXh17bvHlz6Pn27dtj1y2VSvj9738f+95sxiClVwaS\ndPDolnS0I6TsdzqAkg1CCAqFAgqFQt+2HXesvDg17UZtfGfYZpGUXq8njaKoqsp0HL7vw3Ec1lyM\nvs4PFrwpkuu6sCwrdoaf9zTo6jwU7aBqxZYLsOUC1MiArhUDa3TB91EtB6mOstYdsegGniBB9MNi\nUlMdQvXF3+LkRa9IWKsRaTYUmyno98ShWxIy0yMdAAbGubXfiLMnn6vISEcXxKDdrrD9JB1ULEqd\nEdP+cdOKEVmWe27U1gr89WzWGbaXY4iLokxOTjIyoSgKu/l7ngff9+G6LrvOPMGg26PL81UfRJAh\noPlnXiktbBjwAaBaWoSiHj+LM8qLmCDVVssocOkVq3hSaJ9m6RQAgNJERJqEnNtbt+FBICH9Rrsk\nBJgZ1v1JmKtalalAll6Z4+g2vTLVZal0n3wFh6qq0HW97z9weh2i++vFgrrVtaWlxbZtp3o946JS\n9LgMw2CDpCzLTBypqioEQQAhATmgBIT+JWkdjKAQBJo6goJTaTiWycJCSH6yT0e1tBBl7aXE9ymM\n4imxjqZ2YST0XC+eAsU14CgFKI6BSmkhJK+5MRnQvwGkFxIyUwfXtJFEQqgtPPVTmU7iFv1s6Pdl\nED+vfoBkkY4MUXQz8+810jHVzqK+7/dVnNoM3bqYdno9+XQKFbnRaEahUGCiSMuyQAiBIAhQFKXB\nAptWHdABE0AoBUNJSBxoasWRC00JB0W1tBBFq7kgtBcQUW4gHqJPQCDDVMqgKpA0BpBmJMQ0zVBq\nod8VRN1iuskP/Y7RtJ8sy3NSEzLIyNIrA4R2ZuPdiht7IR3NUjhplY7Sm1e/xKlJx9mLMLVdxH1u\nNBrBe3LQaIbnecjn85AkCa7rstJZKoikf3QgpNvhScjLJyZCP6iKehJyXl3LYShDTUmHxxmEVQoL\nMGT8LvR+tXgKygnplzg4ERGpozRqgHgxqeS5cCTg+EsTGClNza2BJyG5XC50TT3PY6W59HNIw0tl\ntmEmCFPjIh2ZnqN7ZOmVOY52B3A6GxcEoasy0W6txdtJ4fTTXpy2vQfQc5fZVvuaCmEqX53Cp1No\ntIIOXPTcaedaGqngZ+Gu68J1XRiGAc/zQgQkSkKSYMsFmGIJit/YbK0VXClsDGardSKh5U9CyQy6\ny+q5kZbREVMdin19Qg1MlopkEgoxIYgegOHYZdMGP6DS1BcQ/Bapy29UvDsoJCRpYJ8OEhIlHaZp\n9r0b8CAhi3QMEJKqNvrVFbYT8GLRZimHfkU6oimOiYmJnrfJgz9Oui9JklIVpvLpFFrdQ2fNQF1d\nTwiBruuQZTkxskNTLdGbueu6TFfDR0IAQIDft1lLpbAABTvQhdhyZ66kPJLKYT1BQkWe3yB8tYQC\nut9bf0EjIXEDKm2tniYJmQnpnU4xVSSEX6cdj44MyRgkTcfAxsPoDyY6gPNOmENDQx2F/+P20c5N\nK+osWiqVmkZV+kE6LMvC5OQkS9/Q/fX7JksJ3OTkJDu3NK4njVpQt1QaseHTKaIosuNpp1omCnoj\nLxQKGBoaYpEoapxm+zloCKIJrlCPUCVFOYQurnUr8qHl5sNQgmOo5E5mrztyAY4YnolOyCeHnlel\nETjSTKEb8VoK3v2zWCyiUChAkiQWCaGuso7jdOQR0wozIZrSrbYkDcfU6LFUq1Xmwpyhc/gQpuwv\nDnv27MGZZ56JZcuWJfa02bp1K5YtW4azzz4bBw8eZK+Pj4/jqquuwvLly7FixQrs37+/6blmkQ7O\nwKrdUthOtt3qB0xJDp8KSBO+70PTNLium7r3Bk07mKaZ6rnFeXx0kk7pFqIoQlVVqKqK556fSCUr\nO5k7GcNWcgt7LX8SK7/VcyOJy0VBxMbPXYQH3S+hKGh4frKIM/pnA5MK6OfKe6lEzcoANMzqBx1p\nRELa6buSIRnTmV4hhODGG2/E3r17sWTJEqxZswYbNmzA8uXL2TJjY2M4fPgwDh06hAMHDmDLli2M\nXNx000247LLL8NBDD7FofTNkpKNGOjRNS6UUthnpaNefIopuIx20AkdRlMQUR7+U+vyXb3h4ONV0\nSrVaZdcQaJ5O6adQlocHERKCwb+CeShAh+XnYQl5qLAblp8QT4Yg1D/DeW4yseCjG5ZchBpjgR4F\njXZQmHLyLNSHwFIskkBgIwdFdDHbbg9xJCRq6NaOq+ygoRsSEhfpyEhH95jO9MoTTzyBpUuX4rTT\nTgMAXH311XjkkUdCpOPRRx/FNddcAwBYu3YtxsfH8eKLLyKfz+OHP/wh/vVf/xUAWHVnM8yuu0of\nQQdu+sNSVbXrDq2t9hFFr34fnZKOditw+jEQ83qYfD4P27b7NsDz582fE72GcdUp1G3UNE3k8/nU\nrNXbxYRwEkQ0hv0n5JMxRE7ErmNKJeRJffZQyZ8EOcajI3ZduYS8q8FGDirqKZ4J4SRGkqJwfRmq\nYAMzRtnRHZK8VFq5yvKY7nJZHlN1LO2QECCYWFDbe03TsvRKD5jOSMfx48dx6qmnsuejo6M4cOBA\ny2WOHTsGSZKwYMECXHfddXjmmWewatUqbNu2rWlBwsCSDr5qg85++w0+dUPB+330m+TEgU89tEpx\n9NtXBACriuknpjqdcsk7nww9/94Da7razrg/H7IQP9ADQfRjnpcc8UgDHsRYEmT700vO0kAzEsK7\nyvIkJEM8CdF1HZ7n4eDBg7j66qtx7rnnYmhoCL/4xS+wYsWKRHK0Z88e3HzzzSCEYNOmTbjlllsa\nltm6dSt2796NYrGIe+65BytXrmTvEUKwevVqjI6OYufOnemc8DQgTb3yM0/uwzNPPZ74frtENjo2\nCIIA13Xx9NNPY/v27VizZg1uvvlmfPrTn8Y//MM/JG5nYElHpVKB53koFoupDIxA8sw8badPim7T\nN90gasLFu3n2E77vY2JiYsrSKVHCEffa//k/52IoEqyaJMPIiXYtYgA4Qg5yQmSBx4R4MsqY7OgY\nNXEYJS+8TlWYhzyCihU+tcLEpC2+PsQXcfCoilWvbm1mlhbSntm3S0J4F9DpjHrMlKgL1Xjkcjmc\nd9552LdvH+6++2789Kc/xYYNG1CpVLBu3Trcfffdoclcr9oBANi2bRtWrFiBSqXR7Xc2I830ylmr\n/xhnrf5j9vzrOz4Zen/JkiU4evQoe3706FGMjo42XebYsWNYsmQJfN/H6Ogo1qwJJmJXXXUVPv3p\nTzc9noFNaJbLZQwNDYVcJ9MAvZFVKhU4joPh4eG+1LO3MjTTNI2Ju4rFYmoOqnFVI2ncGClpA8DO\nCYivTuHJVrfHc8k7n4wlHHHISzZMEnymBPGzY81r7n/SqstkRZofel6N8dHQxGHoYqMXh43w9033\nAxJC/OYzeVnsX/XHbAAlIbTculQqMUMySqp1XWeGZbOxnLZf4AnQq1/9aoyOjmLLli349a9/jaee\negpXXHFFQ7qF1w4oisK0AzyStANAMNCNjY1h06ZNc+7a+74wZX9RrF69GocOHcKRI0dg2zYeeOAB\nbNiwIbTMhg0bcO+99wIA9u/fj5GRESxatAiLFy/GqaeeimeffRYAsHfvXrzuda9req4DG+mgZXZp\nuHtS0PTKxMREx+6brbabhG7txbtBq86w/bq2/H4AMP3GVKVTWsFwc1AlF1W3hIIcFnnavgqD5CGL\n7UcMJvz5mCecgCOEUxyWnJ5x27hTF3+V5HrTN5qzH0RQEuK6LgqFQkNlDL02zTQh/cRMiXTE/aY1\nTcOrXvUqAMCrXvUq9phHt9qB48ePY9GiRfjABz6AO+64A5OTnUUCZwOmk0PJsozt27fj0ksvBSEE\n119/PZYvX44dO3YAADZv3ozLLrsMY2NjWLp0KUqlEu6++262/he+8AW85z3vgW3bOOOMM0Lvxe4v\n1bOZBUiLdFBBJSEEQ0NDfa2ISTI0s20buq53bWjWybXo1sq8U/DVKfl8HuPj41OeTmkFRQynTRyv\n/rMySHdizAl/PopCIB51EJAP289BFeJTgZpYj3zo4hDgA6ZfQF4wYHo55EWrQUyahEmnhIJsISc5\nMIyARGUVH837xvAkRJblgeiBEq1eGRqKd7yNW74Z4u5tu3btwsKFC7Fy5Uo89thjHR/rTMd0m4Ot\nX78e69evD722efPm0PPt27fHrnv22WfjySfbv29mpCMF0kHFovTGk3Y3WirsogQnbe+NdjvD9nJt\neaEv3Q8lGpZlsRs7EBCgXqtTuiEbAHDb7X8EcCWxk3YwYPOIi3Lw5bLdoophSE2EqXGY8IKIhiLU\nj+llex6khON5+vmTcf7pWkcVH3MJzaILzUhIqw663RzHTEY7Ph29aAe+9a1v4dFHH8XY2BhM08Tk\n5CQ2btzIQv6zHYNkgz6YUxY0su5+/KjpQFmpVFAoFFITb/KDueM4mJychCAIGB4e7olwtCIJhBBM\nTk6CEILh4eFUW9FXKhW4rot58+aFymFzuRwjdZVKBZVKhYlzp5pwAIAqNalGcXqriJog4Xp30+tc\nC2T63Tl8aU6wniJ5DToHGkVLW+cwU9IJ7YKSEKolKpVK7LtLXXA7df6M28d0I+5z0TStJenoVjuw\nePFi3H777Th69Ciee+453H///bjwwgvnDOEAAM+fur/pRhbp6NOPOK40tdsbSyvw+oVuut92A8uy\nuk7ddDJ4RNM2QLg6hb5G+59QASntWUNnnu3OwHshHBQVJ4dhtbVhF8W4Uw9Dz1eb56dpaoVikgxD\nFZp7dFTdEopSULli+82J4f9aIw3REknw2c2poAQN72jZZLOKj+nQOcxkTGUkZCqRpOlo5dPRq3aA\nx2y4Tp1ghgey+oqBJx1AfRDv9oucpG9ISy9CB2DHcbrqfpuEJK1It51hOyUm0XRKnNkXEJ9OadUR\nNnpD7wfZAADdUSCKPibtPIaUelrFJI0kcNwegiiEK0JO2IEWY55SbVgeAHRSYAQiDhW3jCE5WFcj\nRZQkPXY5qutoF6LgQXNyrIKFDpZAvWQySkJUVY3VOczGgZWin9GWKAnpxH58pkV94iIdrTQdQG/a\nAYp169Zh3bp1bR7p7MB0azqmEgNLOvgfTbfkoNWAnAbpoAQHQKhRWxrgu96m2Rm2H2ZfgtDYEZaS\nEOrDQm/4f/oXz/TluD/6D+cDNWMtz6tfmwmriJxc10y4noyqk29agnrCHm4Z9aCYdEoYVsL9DTQS\nX9liEhV5ya6tFwwKihRESsbt5oOEIhL4EPDDXw/jwjONEAmkAyYdKHkSMhdn92mgXftxWrY7U3Qd\ncQRI1/W2SEeGeMyQj3ZKMLCkg0c3P2jeWbTVgNyPWUqU4KRRNkavA29lTrUS3R5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UAAAg\nAElEQVRFFNTknVUMCUOFgLBUTanhPYpJXUK+th3TaX18L08KEGMW03QfiiJAUQT8P9e8GTv/9Yct\ntzWV6DYKwhuUlUol9r1utzw36hHCC1Jd1w2V5wJhO/gkjxCehMwUxJGfarU654SdU43pFJL2EoWK\nop37fkY6aqDkoNPBkrdrTrtRG1DvDEtDsv28IfEEaarTKcDMJBwAUCrJkKTGc7IdH7YDNvsHgImq\ngFYBHt9P8OioShgqhgmG5QgoRIJYE7qEeUXCKmU0Kz7d0i4mqgKUFscsCsE//IzMsmb+7LMdEkI1\nUZIkoVgsxn5/OynP5V08gfjyXBoJaeYREhW92rbNyndnUtRD07SW6ZUMzeFNs1FHt1EoHuvWrcO6\ndeuaLgMMOOmIuh/2u5dJt9uNAzUqop1hAbCwbL9B0ynUx4Sew6ClUyiieo6q7qOYb/ysDa4PW5w+\nQmjRxRUAxqsiRsrhwXxck1iFTDfQa/blpi0ir3qY1EXklHoJLAA4LhjxODFZr9KJQpIAw/DguD5y\nuZnhG9EJot+1sW+shK7rHRPmZuW5tES+VXluK48QGjGlvjuiKE57eW7cxEzX9SzS0SPmePYohIEm\nHTw6IQed9DLpB+mgnWGpVbsoinBdNzWtyOTk5ECnU3hccPl5ME0PkiSgUGgcZGmUY6LiQ20hNm0X\nNLXSDLwfCF/KWzUElAvJ3wsz4iPSzr6ikGUBjuvDsjyse/t52Pf/7W+90gzFZe85GHo+XeW5PBGh\nhCVKQhRFYeRlJnmEZF1me4c3QB3fMtLBoZ1B3HVdFoptx3ujV9LRTjSlH6BECgAjUoOaTuEhy/Hn\nVtE85NTW531i0kc0Azavxf1ZM8PmY0DgCzJUrL9muwLzBNHM8HsUuiWgmGv+3Zuo+lC4c/z9uM8i\nHp6PWF0HACiyAMfxkcvNHL1BPzAd5blREhItz6URkmZGZVPlERIX6XAcp2+mh4MKP4t0DAai6ZVm\niJpv9TLYtoM4TQWPfgpU+XQKgJat6HtNpwCzg3CsuuhcAGB6DsPwkM+LIV1DpeqF0i/0kkxU6ADR\nuN2JavDecCn5+zNeETAy1Pj5mnbn37lJrW5kNqkFFSiWA+Rq44TjhokHEOSYRY5xjE8GaQDfD/5y\naiAm1XSC89/2R/jJd57o+LhmA9Iuz22ney6NlEQjjlPlEdIOZpLGZDZiOqtXphoDTTp4NBvEezHf\n6oYc8CSgWTSlH6QjWp3iOE6D2A0Ip1PK5XLXgtnZQDYoSmUVstzZebouoOkeZFmIJRw8KPkoF+MX\ntCJVJhU9LPic1AQMl3z2HhCQHL4pm15zENVNMOJR3374+e9PeLGRHUo4eOhGQLZURYQ/3d2qphD9\nKs9tp3uuJEmMaFChZlJ5Li9GTdMjJBrpmGmlvLMV09l7ZaqRkY4akshBv8y32vlx8k6mrTrD9qPM\nN9oUjp4/bUVPydUgpVMAQBBFnPWmPwQhHkwzqF6h0DSCfF6E4/hBeoFLsdi119oB/aoREkRF5g0J\nIJEQq2EChXzjugBgWrXjMfloXVu75rYRf6whUekESdyuYRDIsgjX9SCIIvxBUsMhncZ1lITQfkT0\nN0ndjZPKc9P0COERdx/LiEfvGCDePtiko1n1Cl8t0ov5Ft1Hqx8mJQHUybRV6qKX9Eqz6pRCocBI\nBj1mz/NQKBR6MiCbyYRDaBG10XUXxWLrn4pueA1pinbx8kRAPACAGti6xAcQiXZoPoYS0jKa7qOU\nEDUBgmhHJ5iIiXBEYVkEiiph1UUr8R97w6LMjIR0R0JoGlNRFOTzAetsVZ7LkxA+NQrUPUHiPEIA\nhEhInEfITOluO5cxSNHCgSYdPPhBnFaLAP3x3mg1C6CdYXkn03bR6SyDplOoLgWo54p5BT5NKQGB\n4M00TViWFRK/tbPfmUw2gEbCIYgCXnf+WSiWghtys1OkUY7JKoHM+XgkiU+7QUXzQz4gQD3KAQSR\nkrhsXzMCYlo1XYcN5qT6vycIZFmA6/rs+InnQ4ooSen1CHQuYjBQmQS5nIQVb3gd/uvAL9kNlL+2\ng0ZAgO5ICO2Im8vlQk0bm5XnxnVn5u9lzcpz6fNmHiE0UiJJEjzPC90PCSEzyrxstmKQNB0DT2Gj\n+UnLsjA5OQlFUTA0NNQXlp8UlaAzmkqlgkKhgFKp1JFPQCfwfR/VahWGYWBoaIjd0JKqU6rVKlRV\nRblcRqlUwtDQEAqFAgRBYNeoWq2yLrJx5zcbCYcg0IZ1PiTOw1zTXHZjqFbbb9LWCSYqPuLa9ExM\nhgdsx61fa91sfrOqaj5Lo1S1+nao0DUJcTqOOFCRrW0Tpn8RYkpeWkWTBgGXvPPJ0F8UjuM0uP/G\ngU4OCoUChoaGMDQ0xJrSaZqGSqXCfpdUN6KqKkuZ0kiI4zhMw0XTM5SMqKrK7km0as5xHCZ+tSwL\njz/+OH7729+2VS67Z88enHnmmVi2bBk+85nPxC6zdetWLFu2DGeffTYOHjzY0bqzHXyFUtp/040s\n0sHBcRzYtt1WeqMTxJGOfnSGbddFlUZSZFnu2uyrmSMjTcXws623vus/Oj6ftJE08NFBUhBEvPp1\nr4HrEOTyMizLRT4f/h64bn3gnqy4UNT6NqOplckqgRj5bOYNt0jlmPHGY0CyBoNPuWh6fRn+cafw\niA9RoqnBeoSjUgkIl+f58IgP4nnI52U4LoGSk7F87Qr86olfQZAAv1YHmEU+4hElHg/d9dquqsJ6\nKc9txyOEL8+llTae5+GOO+7Ak08+iZGREXz0ox/FhRdeiPPPPx+FQiF0fIQQ3Hjjjdi7dy+WLFmC\nNWvWYMOGDVi+fDlbZmxsDIcPH8ahQ4dw4MABbNmyBfv3729r3bmArGR2wMCHEemg3G/wpIOKU2kk\nIU3vDSpMLRaLIaU8jW50W52SZIb0p3/xTCrn0iviohrssSAGUQ5RhCxLyBfrngOmWScemuYgl5Pg\nuj6aTEQxWalV/8RcQhq1GB5Kvr6TVQ/D5fD7E5Meclyapap5KJfqy1Q0v2lzOUpYTNNHPi/Atj2o\nqgjLDiI3iiKy1AolFkA4xVKtuhCEgITUy2lFaJoDVZFgmA5kWYQoS/A9DwIkeIRAEIWByll3i6v+\n8r/Z4271IEDz8lzTNEMTCEmSmnqE0O3xJEQUReRyOezcuRM/+9nP8IlPfAKiKOLjH/84nnnmGezb\ntw+rVq1ix/PEE09g6dKlOO200wAAV199NR555JEQcXj00UdxzTXXAADWrl2L8fFxvPDCC3juueda\nrjsXQAaIhA886TBNE7qusx9oGgSAF5MmNYbrdrtJ4TJemEojKa3MvlRVbVox0wyiKM4KwsFHNehz\noebm+MqlSyAp1Kukfg1M00UuF/6paJrboN2oVAlbN45w8KDpi6GS1FC1AgTEo1hIKKWtEQg+tdJO\nN1sKs0VKJkgtRc6tRkTivhqSJMB2gvSKYRG8esVpOH7oGFzHhSSK8FwCiMlRj+D1wbnptoN+VsZE\ny3MpCbFtm6Vg2u2eSzUd9H/HcXD66afjtttuw2233YZKpcLErxTHjx/Hqaeeyp6Pjo7iwIEDLZc5\nfvw4nn/++ZbrzgVMd++VqcTAkw4AGB4eZkY6aUAQhFB5Wj8bw8WRDj6dQoWpSekUy7Jg2/acNPtK\nim7QyAZdRi3kcPIrTgEASJIIz/UAtZ7uihKOKEwjIBDtenpQy2PfC6IipVJ9X66bfPOpVD0McREQ\nPgWi6R5KxeA93fBQLIjQ9OB/AKhoBIVarxSnyT54vQrdfrsaFscmUHISHFvEwlctxkv/9wV4hACy\nBN8Loh1xaZcMrZEmCWm3ey41GgPAhKkTExOh+0Zc47dOPEAGFYN06gNPOgqFAmPzaX3pafltv63M\n4+rledfUfqZTkjATyQbQXCQqiAIkWYIgiJBUGcMnBSk1kQsXmLrD0iy67jC77yDFIrMoR7XihMhG\nXDfaVpicdDE8HNWO+Jis+A1W6xan6zAsD6Vicy0QJSBxsG0Pth0MIo7jhVIsFNWKExLU8hBFAR7x\nYeoOCPEhKyIci4AQD7IiYf7ik1H530k4lg1fFEBcEhAPQYTve6G0S6b36Az9MCkDkrVa1EiMr04h\nhKBUKkGWZXieh0qlgs9+9rOhVEoclixZgqNHj7LnR48exejoaNNljh07htHRUTiO03LduQASF+6c\noxh4STkduPtpK05Brcxd10Uul2PVH/0Cf8w0nWJZFoaHh0Oh1KTqFFmWUSwW5zThCNIn8YRDlCUU\nSkWIkggpJkph6uFSEl5EqmkONC2m1KRLTE62F02wm5iPaboH3QiOkf7PPzZqregp0WgGvoSPvyFS\nUalWtVGpWNB1m71nmcE5yIpUIx4yCsNFqIUcREmCJEsQZSmsp0lq7pJhWkC1Wvl8HuVymTVzJIRA\nFEXs27cPV155JT73uc/hz/7sz/D+978fn/3sZ5tuc/Xq1Th06BCOHDkC27bxwAMPYMOGDaFlNmzY\ngHvvvRcAsH//foyMjGDRokVtrTsX4Hv+lP1NNwY+0sGjn6SDGnBRUVdaBjt0ZhL1+RjEdAqQrN/g\n0ymUcKj5HMQa2XAdgoIqw3UJJKl+XUzdgZKToesOVDUcVeAjHNHUiu8FpmIUQ0OtG2KdGHcwVA5/\nJpUqwVBZSiQbmk4avDSagRKPOETTKFrteVSfUq3YSIJjuyzSYTkuZEWGklPhez5cAJ7nQhBFiODS\nK6IXuhkOortpt+glytEKNEILgN1XzjnnHFxyySV48MEHcfz4cWzduhXf/va3cdFFF+G6666LnVTJ\nsozt27fj0ksvBSEE119/PZYvX44dO3YAADZv3ozLLrsMY2NjWLp0KUqlEu6+++6m6841zAQyMFUQ\n/EFOpAEslEgIQaVSwcjISM/bjPYzMQwDgiA0lJL1isnJSUiSxEhEs+gGn04pFApzOroRPI8nHJIk\nMcKhFtRAvZ9TIEoiRFGAmg/IAdVxKLX/CfGgqhJcJxgMZUVkREOWRZi1Wb4k0ohKfC57aEgJaTqC\nbdeMnGo3nqGyzLQdNCqRy9XPz7I8DJUlRiCkUCVOfV/0l60bhK3vcREMum21VvarVV3ICj0ngWlV\nBBEsxaJVw4TD8+szKEJ8EOLBsV24TrCupVuBgZhhgzhukGrxPRC31kDO81tqPDICEo80CQe9X4ii\nGIrQ/ud//iduuukmfPWrX8Uf/uEf4siRI/j3f/93HD58GLfffntqxzOXIQgCNn/65Snb346PnNQw\nwd6zZw9uvvlmEEKwadMm3HLLLQ3rbd26Fbt370axWMQ999yDlStX4ujRo9i4cSNeeuklCIKAG264\nAVu3bm26/4GPdPQzvZLUGTat1A0lF1NRnQLMLsIRrU4BwAiHklOCNEstV+06LiRPhJirRyMsK6hY\nCSIdzXUTmuaEtBzNKlcqFQe+76PcJPLRTExqWeFUSbB/l/WH0XSCUlGCUSMM+bzUsD5PYJKPMyAX\nikzz+R503WnwHYkDJSi26QTXGUFqJdgOgecCkkwV+1lpbadIk2wAdQ8hRVFC94sf/OAH+OQnP4mH\nH36YVZScdtppeN/73pfq8QwCpnPu34uPiqIo+PznP49zzjkH1WoVq1atwsUXX9w0GjXwpIOiV2Lg\nui40TQv1M0kLNJ0CAPl8vmkr+kFNp9Dn9H2RajtEIdAXSBIcy4EoizVdS+tOm7oWpFhoNEDXk0WW\nSaDfscpEoAcp1Hq6EG6wNUyCQoQsVKsuylzqxXV8yEr4ePUa0dB0Ahr8MM1axKEJ2bBtj3ltxB6z\nB+i6DUEU4Pl+A/EwDYdFOzzfh0e8IHIkiZAhwzZsiJII13GC76rnwa8ZnkZTKRnxaI60CQd1NeVt\n2H3fxwMPPID77rsPu3btwkknnZTqMQwiprNktlsflRdffBGLFy/G4sWLAQDlchnLly/H888/n5GO\nTtCpV0e0YiSuCystOevHsfH7ovbjaVanADOTcDQz+/J9r5ZWqRMOUZICLYEggjhuLeohQlZkEMcF\nAaDmVTiWCyUnw/d8mIYDRQ2iHTI3IOs1ASklHxRSF9e4WrVRLof9WlzHQ8XxWMVMfdnAxAsIGq3J\nXJ97TXNbijINPWxt7theyFGV7tuyglSRGKnE8T0/tA9dsxOJumO5teiFCFEW4TouxFpkSSBiTcFO\n2M1WlIJoB1D/LDPyEUbahINGRAuFQqjPy7Zt23Dw4EHs2rWrwYMjQ3/gTWP1Src+KseOHcOiRYvY\na0eOHMHBgwexdu3apvsbeNLBp1fatRWnoAM7b8CVtI9ew2dx+6KkY9DSKXHgB0Sq4/A9j1WqUD0H\njXQQQiDKgSeH7/mQFQmO7UJR6z8J/jEQiE2pmDRKOHpBtWqjUGxMt2iag1IpOQ2jVd2WJbq67iJf\nCJ+HZXlMm0L3kwTHJbDNRkKjVa1Gci0KgQeYJILUKn1cx4XneizNAgCS5IEgKJ3zvLp4lUao/Ign\ndCYsTZ9w2LYN0zRDEVFCCG699Vb4vo/7778/a+yWItIk2L997sd44chPEt/v1keFX69areKqq67C\ntm3bWvbiGXjSwaMTctBJZ9h+pG7iqlNEUYRhGLBtmzVzonbHczWdkoQk4Sh9j0+tCKIQiEdry8pK\nEAWhJMM2axEOw24gHrpmh6IeQFDhUhpSoVWt0LFQlIeaeKbXUK3YKA/FO9Q6EYKQRERMIyAYphEM\n5MVilGw0Oqs6tgfXIZAVCbZDoCoSew4ARk2vwpM6ep48ommRaAkyTf3R7UiQ4LiBBwT18GDbqvl4\nhLdfIyQDSD7SrlChKdhSqcSIhWma2Lx5M84991zccsstWXv7lOGlqOlYdNr5WHTa+ez5f+67M/R+\ntz4qS5YsARBMcq+88kq8973vxeWXX97yeLJvUoegZWSVSgXFYrGjzrDd7CvahRYAcxCkJKRQKDAR\nq23bkGoz+W5TOjOdcCQJR6OEQ6y9HvQCqWkOCIFHCIhD4DrB4EwrLYBkQZdV86OIEg5DC17XasLL\nuBRHtWKxv2aoVuxQBAIIRyFsm+oz6ser68lRClqyS0kID9uJ7yLLEwovpt22zp1DNCpo6jZMw4Zt\nOnAsB64TVLE4VqDlEKWATATaDy/i11H/7KKEY5CRNuGgDR7L5TIjHOPj4/jzP/9z/Omf/ik+8pGP\nZIRjCjCdPh29+Kj4vo/rr78eK1aswM0339zWuWaRDg6tIhLddobtJtIRt6+k6hQgYJu5XI61uOab\n2PEdJpsRpJlONih8zwtFMYC6joPOpCnhCJb3Q9GOgKAIbF1KPnzPg5JT4Hk+LDPQcViGDVlu/JwN\nze5YRAoEJae+56NUzrEmT7wRl6bZKJXCEQ9dd1Dk0i+u6zX4glAiEkcwAMCokRPLckP74829otBr\n5xjXi4WHqXOEy2skbowEE4/pOuACkAHPJSFRKcCLTAdbVJo24dB1Paik4ppOPv/889i4cSM+9rGP\nYf369antP0MY0+lI2ouPyo9//GN8/etfx+tf/3qsXLkSAPCpT30Kb33rWxP3N/A+HbQTKxD4XvAi\nKh7UxbMbZ1Fa2TJv3ry2l6fplGKx2LXZV7TDJLU0pj0VaNdIYPYQjmZ+HPR5VEAqyhJEro5VUuRa\nWiW4XrIiQ+bSCpIiwyMe1LwCj3iMdEg13UewjsRIR9DPQggdTzPQgZTarDOfDu7Gw6dBoiTDsQnT\ngFDRZxwBMg0H+YLCHufyNFfPVcpoNpSaTsWxwz1kaGRFkkRIkgBDs7lIUvC/GSEtge8G9SHxYOoW\ne424hEU6CCG1mZcX8uqgVulAOOLBXhuA9MpDd702NFHod6QhyYPjv/7rv7BlyxZ88YtfxJo16WpI\nMtQhCALe/ZFjU7a/+z49Oq0lulmkg0NcRIKmUyzL6qkzbDsfMl+dQvfVqjoFQGJ1SlxzJ9d14bou\nm+XIsozLr/tFV+c01WinYgVASEAK1GbTos+EpJRwuDXHTBrpkBUJjuVCqpERXlHuugSuS4Iy0ITS\n0k5Bq2AoGeChVW2UuKqWKPEwdKehugQIyAUARja6hWk4oV401UmzgdhECQdQj3ZYugUvkiaRZAnE\nBSB6kCCBgMBzA8LRbsngXBeVfvf+1U1b0beKVrYCjaDKshzqA/WTn/wEH/3oR3Hfffdh6dKl/Tqd\nDG1ikOb+GengECUdnucxP4xeOsO2c5PoJJ1CSUOn1Sm0rwKN5MyW6AYFn1YJnjdWrAB1q3Pf9wBP\nZP0+PL822DGSERFVWi5EWYRt2qH3LNOJ7c1C3wPAvCuikY5CqTVJNTQ7cTm+30t0OSocjX/PCf1P\nwRMdqkdh+6pFeug+qd8GD3rN4wgHEJANgFayiPBqLe2jaRca6QhIigggXmMSh7kqKqXplKQusLZt\nN3SBlSSp7d9/kgfHrl278KUvfQk7d+7EwoULUzu/DMnghdRzHQNPOvgfLE86bNuGpml96QzbStPB\np1NofrVVOiUpDdQuZhvhAJpHOoD6gOh7HnwuDRCQlXp0IkifkEBWoASeHI7lMKJBQ/mWESYfdAA2\ndRtibfv8oByXWuEH9mYExNBsqJGIh1a1WRTEqaVRaAqEh12zYOfTH3GgDdnoY+pJ4tgkJKaNQq+a\ntaZfHiRJDGs4Qsdhx+owXMdlKRRezCaIAot00OvJp7YpcYxub66RDSBZvxHXBZaSENoFNpqKibtX\n0YlKPp9n0Vrf9/GVr3wF3//+97Fr167YtvQZpgZZpGOAQSMOVNHdy8BOkUQ6qHrcNM220imGYTDh\n11wz+2oHSZEOXs8R/B8fDQGC2R7z6nCoHkKCrMhwbAeSH8wy+ZmH67iQZBU2jWpEZv/tWIMDASnw\nPR+Fkgo6jtIUDiFebMQjLoLBp05Mw0Ucz7BMlxEW/nEruE6dgCSlkaJVK7bZGPVwLIctSyEIIlCL\nfIhe4FBKIx2EcCWzNeKSVMUy1yIdnQhGk1rR8ylTPhIiiiJL0/C6L8/z8IlPfAIvvvgiHn744b7c\n5zJ0j0ESTGekA3VSQEWlsixjeHi47wIu/mY9FemUKGYr2aBIinREK1eAwFaYajjo7JrXckiez7Qb\nrhOYrElNtBqWYQet2buoWInC0GzkivFRD23CbHjP0OyQniOqt6Cgws8kslEZN6DkZCiqzEqAHctl\nAtY4kqFXTEiyyL67hmZyg77Pohs8KOEAwIizh3rEgjDnURHEaSz5ZZGQWqRjLlex9FqhEk2ZUj0I\nrV6jpC+XyzExu+M42Lp1K0ZHR/GVr3wl9ZLY8fFxbNq0Cb/4xS8gCAK++tWv4rzzzkt1n7MNPOme\n68hIRw00bSHLcqiErB+IbstxHNZQKUuntI9opINCEMKRDSAQkvKaDs8lEGUpIBy1sk1Ss+aWuJJY\nz/XguR5EOXAwtUnQN0SKKZt1LAe5Ytj4y9Rt5BMIBQ9DC7QPuXzjZ2rpASlp1xo5avoVTaNEX3Ns\nF65LYkuBqUYlrhqGj2j4vl+PZtQInW0kl98SVpbMaaZcwj47Uax3no1GOuIIx1yIcqRREiuKIlRV\nhaIoMAwDrutCVVUQQvDmN78ZsiyjVCphzZo1+PCHPzwlHhw33XQTLrvsMjz00EOski9DGHOVVMdh\n4F1ffN9HtVqFYRiseVoaZl+0/4phGKhWq8xYDKibfQFgOVlaneK6bs9pnrlAOIDGSEdcaSUtmfUi\ngxsVk9JyTR6u48B1HDaIinx5qhWeiVu6BcdyYNUGWEu3YBqBKRYlEqZus79WoOtEoVdM7vgITMMJ\niUpZpKJWwktLZwGwNBD/fv18Gn08aDolquvQKwYAMEtzGhGJG/CTCIdj23C5aIYgChAFMSAcVMdB\ngh4sgUGY2HADbqcMeTbhew+smRIPDs/zMDQ0hHw+j1KphO9+97tYtmwZzjrrLBw+fBijo6N4wxve\ngB/96EepHcvExAR++MMfsk60siy3bR0wSJhOc7CpxsBHOgRBgKqqKBaLsG0bTky4t1/QNA2+72fp\nlD4hWjIrRszaPM+HKAapF554AMFAJwoiiBdUrPDrUqLhSUHEw7EdEIfEDn5xkRcePPGgERBqeUwj\nGYZmQY2JeESjJtHnlm6HCFK7oKTEdQkjFMHrNks5UXiEQJQkGFUzdP6UZAiiEKRYYr6jjl0/d0r4\naHkyn1phItIWHh1zAWn3UPF9H5qmQRRF5vEDAL/5zW/wvve9D3feeScuuOACAIHV+U9+8hO8+tWv\nTu14nnvuOSxYsADXXXcdnnnmGaxatQrbtm1DsVhMbZ+zEYOUXhn4SAcANrD3ozFbHBzHYb1SeMLB\nC0bpvk3ThK7rKBQKPVXNzDXCETe4hyohhMYZsshpPoAg4uFFStNo0zdSq7BwOXEpW0Zo3Ldjd05O\nDS2IikTheT5M3Q5FNyii0RJTt2OjFY7lhiIctumwKIdju9AmDW7ZxmOnUQ6aBjG0xmMBgmiHZdrM\ngyNORBrss/F1KuKlnwO1rvc8P7FkMCMc7YOW+EuSFDL9OnjwIN73vvfh7rvvZoQDAPL5PC688MJQ\n99B+w3VdPP300/irv/orPP300yiVSvj0pz+d2v5mKwYp0pGRDg79Jh3UWKxarUIURdYWOkundI64\nkD41+gIQyv/TZaOGU0xkWptRE0JYB9ToMkAgMHUsB47tMJLhOi4baC3Thm3U/+IG8zhQL4s4mIbd\n0hLZipCLKNmIeww0plosw2YkK45EERaJCQhL3RU0vhIr2I7dQDiCHizBfqKkjxeVxup1YqJLs1HP\nkTbhIISgWq1CVdUQ4di7dy8+/OEP4+GHH8brXve6VI8hDqOjoxgdHWUOp1dddRWefvrpKT+OmQ7f\n96bsb7ox8OkVICz07BfpoNUpNJ1CK1UowcjSKZ2jmTkYEK5iATym7RBFgYlK+eWZoJRLtTASE9m2\nIAhwLKelvoCf+av5ZEGppVvwPB+5QuMypm4hXxOo0hLWuMoSNyY64NhuQ2fcuEtIiCMAACAASURB\nVOPjCRIlBMyHo2qytI0ViWTw61mmFRIixkU36LZ5CKLQ8Dq1QwfmXmolbcKR5MFx33334cEHH8Su\nXbswf/78VI8hCYsXL8app56KZ599Fn/wB3+AvXv3Tgv5menw3OknA1OFjHRw6JeAlFanRGcd0egG\nLdG1LCurTmkTdJbLl202s0MHAsOpYHkC0RdqxITA9zyIMRUcvL6jmbo/Lu3Cgw7wdOBUC2pDFMYy\nbCi5OD1HnXjQbfEkhndJpUSAvs9HNGzTYXbvAEIEhjgksUyYVvDQ60ujQkC4EZvneYEXhNVYOhsl\nFjTK4RECURTYNUiKXMyFqpW0CYdt27EeHP/4j/+In//853j00UdZhHW68IUvfAHvec97YNs2zjjj\nDNYsLEMd0ZYBcxkZ6eDQa3qlmdmXLMuwLAuWZbFma1S0OqhmX90irool2vgtbnkxIY3iez4IakJR\nwm2PAF7Mdum6uXy4XDYO/MBpGzaUXPgn5/uB14XnelAjUQ+9YoSIhm3aIUJkGTZyBZU5i9qmDdch\nUHIK10+G8yKpHYvrkNBx0dSKrMgwdYtFgKIlsbRhYFgQKsCxmkc4eLIRvjbNIxpx/hyzqfdK2oSD\n3k9KpVIoanfLLbdAVVV84xvfaLsTdpo4++yz8eSTg3WP6hRzIaLXLjLSgXqEoxfSEdenha9OUVUV\nqqrC8zw2OwGCEL/jOE0tjJMwaGSjHYRTLLwNenyqJSjdrBOKuOhFHJEBksWkTdMqteiHojZGN2zD\nZpEHWtkSjXDQ54ZmQFEVVroL1MWgfBrIqBosksJHPChIjP05JRd87xU+reLYduw1oeSkHcLBC0f5\nG26r1MpsIBxTUaFimibTf9EJi2EYuOGGG7B27Vr87d/+bSql/xnSwWz4XvcLGeng0C3piGt7n2T2\nRbtH0nBoXNfXdlpaDzLhSDIJY++HUiz1fixAcqqFgkU2RJFFO6JERBAFKLlkYsHrOuLIBb9MNLXi\n2E5oHUIIDM1ALq/CqJpQckpdl8Et61h1PQod9Om2HcsJ7Yev0KGPRVmEpVtcfxkTkhwQD960iwo/\n6TV2IzqXTghHEtmIvld/bebfmKeCcBiGAc/zUCqV2D3ixIkT2LhxI6699lq8973vzQjHLEP0NzKX\nkVWvxKBd4sFXp5RKJVZ73qw6he/pQi2MC4UChoaGWJjUcRxUKhVUq1U2o+GPaZAJB0V0AIqWhCUp\nteNSLfX3Gnu3JC3jWDYcy2bGYm6Cvwtf+WKZgbEYXwViG3ZDNUtcBMWomrX91t/zXC+0bpxok23T\nchqWifMGiHNB5SuDCJemocLRetrGBbGDvzjCQVzSknDElfUFItOZTzgeuuu10HUdtm3DS+F4qQeH\n7/shwnH8+HG84x3vwC233IK/+Iu/yAjHLITn+VP2F4c9e/bgzDPPxLJly/CZz3wmdpmtW7di2bJl\nOPvss3Hw4MGO1uWRRToQTq/QiESrH26rdEpcdYqiKE29N+JaWjuOwxq9ybKMy6/7RR/PfG6iQVwa\n+qHFRDxoxUptfBRq6wui1FQs2iicDJMFmRMG80SCEgA+1eHYDhuoJEliok1KNul3hhACopOGyEU0\nygEEqRVe0xF9zEc87FpvGQCwTQuCIAZmXRwhIJyOg5XA+h5EQYTruKFy2GjDtkQfjjmQTgGA796/\nmvU9ob9ZURRDkcteyACthpNlOXQP+eUvf4ktW7Zgx44dOPfcc/t1OhmmGNP5PSeE4MYbb8TevXux\nZMkSrFmzBhs2bMDy5cvZMmNjYzh8+DAOHTqEAwcOYMuWLdi/f39b60aRkY4u0Ek6pdvqlGg3ySy6\n0YhoJQtFtJqFvR5pCgc0Rjx4rYLnEngIaz7AjZ20gVwSKAnxPT82HcMG/UgFDSUFfHQrqsdwLIeJ\nBF3HDek2gLCANLq/6GPbtIKuuy5hx0LTJ6yKhbuOPMmh50kjGvT68VGUJMHoXCmNpSmVuEkDbbym\n63qo+2sn7RYIIdA0DblcDqqqsvV+9KMf4eMf/zjuv/9+nHHGGamdX4b0MZ3plSeeeAJLly7Faaed\nBgC4+uqr8cgjj4SIw6OPPoprrrkGALB27VqMj4/jhRdewHPPPddy3Sgy0hFBM10HX51CUyRZK/rp\nR1wZLUVcVQuv86DZhDqxCCIfPkGDrTqPuMgCgAYSwlIRtQqP6DZ934PreKGoCN0uJQA0SsAP9r7n\nw/W4Jm6cbsMjBHbNvpw+jz6mN7no8diGxTw6HNuu9UnxWEmfyGllPE7rwZ8PH8IdFMIRRbMW9PS+\nECUhcUjy4HjkkUfw5S9/GTt37sSCBQvSObkMU4bp/A0cP3485Eo7OjqKAwcOtFzm+PHjeP7551uu\nG0VGOhD250giHWmkU9pBRjjaQ6seKHERD4o4rw4gGKCjQlMKKcGAK0pCooMJTVFEe5zEkZLoax4h\ngbCVW4YnEZYeJgE82XAth5EJ+th1XKDWdZcSjGC/YXEoE496Hov88KkUfpbWinB0QjZmemqlE9Fo\nqxb0ABpE5DRNw0dJfd/Hl7/8ZTz22GP4zne+w5pGZpjd+NGjF7ReqE8ol8uh5+2OT/0yzsxIRwRx\npGMq0ilRZGSjMySlWvjS2TjwlS0Udb0HkBTsIJwBVxIBodEIGv3gB1lKPqIN23jdBF2HeG6IpBAn\neE4He49EtBSez3rK8E6HSY8pqfB8zhW0ZifvISz8FEQBxHFCaRS+YVvSdQDmDuHoR4UKbUFPvXyi\nehB6P+EnLZ7n4e///u/x8ssv46GHHurp/tIJCCFYvXo1RkdHsXPnzinZ5yAhjX5fnWDJkiU4evQo\ne3706FGMjo42XebYsWMYHR2F4zgt140iq16JgCcdtEV0tVpFuVxuWp1Cl+WrU7pFRji6Rzvulnxl\nS1wjJJ64EEIa/qKgFRv0LwraeyS6vud7rL9LwzYj+3FsO/QaX0USd1xxpIJfjpC6QRjfCI85pnId\nXz1SF5TSSA5/DaMN20JVRHPM2jyNklhBEJgWpFgssnuHqqqwbRtnn3021q9fjw0bNmBiYgI7duyY\nMsIBANu2bcOKFSuyqpg5itWrV+PQoUM4cuQIbNvGAw88gA0bNoSW2bBhA+69914AwP79+zEyMoJF\nixa1tW4UGemIgBIIz/NQqVTgui7mzZvH9BtJ6ZRKpQJRFEOlbN0gIxy9oxnxaOUNQbUKwaAbX6pJ\naoNwUvOkaNloFHEltgH5CNIpVD8RRyaiBCJJHBolSSHCEomMsPUtWgIbJmVsWY5k8OV3SWkUL+Y6\nJREOeq1ncnnsVHpwlMtlVkr/3e9+FwsWLIAoinj88cexePFivPOd78RTTz2V6vEAwYx2bGwMmzZt\nmvYZeYZ0IMsytm/fjksvvRQrVqzAO9/5Tixfvhw7duzAjh07AACXXXYZTj/9dCxduhSbN2/Gl770\npabrNoPgZ98kAGB5VU3TAAQ9DfL5PAtvpp1OiSIjH/1Du91L2XuC2Px9UYz1+aDrJkGUpdgBtS6A\n9SLL1gd1qjuJ87CILs/DcwlEWWIEKOlxEoGKq+tvZV+etK3ZXBI7FYRD0zQIgoBiscgmNC+++CI2\nbtyID37wg3j7298OIAhh/9u//Rv+6I/+CCtWrEj1uN7xjnfg1ltvxeTkJO68884svZKhZ2Sajhqo\ngZfrumym0aw6haZT+lGdEofoTS4jId0jTu+R1Osj6f3we/WqF6Be8hoM0OHIBC8k9TjfCyrwDKIr\njVUgNL1ByUa9UiQs4qTr0LQOTyT4bVGQWoRFEMTQ4yi54Buy0XOOuy7s/RiiMZt1GzzSJhxJHhyH\nDx/Gpk2b8PnPfx5vfOMb2fKnnnoqrr322lSPCQB27dqFhQsXYuXKlXjsscdS31+GwUAW6aiBOovS\nPinFYnFKqlO6QUZAukdSlUtcZKNZ1CJZmBq/jiRJ8Q6ptASVe0+UpFCagicoPHgC00nEIYpomoRv\nqhYlOXHICEf3oB4cqqoil8uxe8lTTz2FD33oQ7j33ntbhqvTwq233oqvfe1rkGUZpmlicnISV155\nJcvtZ8jQDTLSgSBq8bvf/Y4pyQGgUChMaTqlF2QkpHt0knrpFwmhqRk+ksCna+jrPFHxPD+RuMQt\nH32Pj1xEoxg8Ak0F3yyvt/QJv91gm1mXWIo4Dw4A+N73voc77rgDDz74IF75ylemegztYt++fVl6\nJUNfkKVXEKRW5s2bByCIeNDqlLh0Cm20NBNaRlPwN8eMgLSPpKhEUmolOthGDceiywevR43LwqkZ\n+rpXK1Hl3UnjRKR0mTjSQMWpcedFuPRMUmlrFNSnBKg7lPZCOKKPZyrSJhsAEj04vvGNb+Dhhx/G\nd77zHYyMjKR+HJ0gq17J0A9kkY4aHMcBIQS2bbP8qizLTNeh63pDznWmw3VdXPaeg60XzACgtcFY\nfbn2IyFx0YJmItW440kaqJtFDZLe423gmxKFFqmZuRbVoJgKwmFZFizLYp2mgUDXceedd+LZZ5/F\n3XffjVwul/pxZMgwHchIRw2WZYW6uVK3QKc2e5RlGaqq9ty4aSqQlAbKoiDto10CEiybrAeJOqHG\nrRsXJYm+1mqZpG02S5E0i1yw5ZhlfGuNxmwkGTymokLFsiw4jhMqrXddF3/zN3+DcrmMO+64Y0ZF\nUTNk6Dcy0oHgR/+Wt7wFZ555Ji699FKsW7cOjuPg1ltvxYc+9CGceuqprLKFEBKKgvS7aqVX0Fp/\nQkhLz5CMhLSPXqMgDcvxqZkaAeCft1qmFdolFU230aaJ12wmGhRT6cFRLBbZ79IwDPzlX/4l3vjG\nN+KDH/zgjJ/QZMjQKzLSUQMhBE8++STGxsawa9cuHDt2DG94wxvwd3/3dzjrrLNCjdxoFITqPvrV\nvrof50C7WVK79naREZDO0A4JSYpa9LzvCJnohly0ioS0Xn/2Ew2KXV87m/U7SQM0PQsg5MHx8ssv\nY+PGjdi0aRPe9a53ZYQjw0AgIx0cfN/HP//zP+PjH/84PvGJT6BYLGJsbAy//vWvce655+Liiy/G\nBRdcwJos0ZJax3GmPQpi2zZM02xQwneLjIS0j05SMeH1wqQkziek2TLN0CupaNze3CEZPHbe+3o2\ngRBFse8TCOrBEZ0IHD16FNdeey1uu+02XHTRRT3vJ0OG2YKMdHD49a9/jfe85z342te+hmXLlrHX\nCSF44oknMDY2hn379qFQKOCiiy7CxRdfjGXLloUaMk11FMT3fZimCdd1USwWU8sHZySkfXRLQmYC\n5oI2o13wKRVqAkh/u/wEgkZBOv39Jnlw/PznP8f73/9+3HXXXTjnnHP6ek4ZMsx0ZKQjAurL0ez9\n3/3ud9i9ezd2796N3/zmN1i1ahWLgtCmcFMRBfE8D7quN1gnp42MgLSP6AA+3YRkkEhFEtrRb/i+\nH5pA+L7fQEKaIcmD4/HHH8ff//3f47777sNrXvOans8lQ4bZhox09AjXdXHgwAHs3r0bjz/+OIrF\nIouCLF26NLUoCL2p5XI5qKo6rfngjIR0jzhSEkdS4q3cGwlEqzLbQUe3glG+9TwhpOnvN8mD4+GH\nH8ZXv/pVPPjggzjllFP6cj4ZMsw2ZKSjj/B9Hy+99BKLghw5coRFQd785jf3JQpCy+5s2w7V+c8U\nZAQkw0xFvypU4lIxkiQxTx/LslAqldhv0/d9/NM//RN+/OMf4xvf+Aa7D2TIMIjISEeKcF0X+/fv\nZ1GQUqmEiy++GBdffDHOOOOMjqMgnufBMAz4vh8qu5vJyEhIhpmANEtifd+H4ziwLIv1aXr22Wfx\ns5/9DBdeeCHuuusuaJqGL37xi1MySTh69Cg2btyIl156CYIg4IYbbsDWrVtT32+GDO0gIx1TBN/3\n8cILL2DPnj3YvXs3/ud//gerV69mUZBCocCWi4uCSJIEy7KgquqsckXlidIV1//XdB9OhgHEVHtw\nAMATTzyBbdu2Yd++fVAUBe9+97txySWXYN26dSiXy6kezwsvvIAXXngB55xzDqrVKlatWoVvf/vb\n09Y4LkMGHhnpmCa4rouf/vSnLAoyPDyMP/mTP8Ell1yC008/nZEKQgjGx8fZDCmNsr60QH1Dkuzj\nsyhIhrQxFYQjzoNjcnIS1157La644gqsXLkS/397dxoU1Zn1AfzfIJvgihBkUVETBJSAgoiOgmA3\nYqR0aqLzak2RElFjopG4DBA1U8yMSEwsY5ExsYyDGhcUnRmjdLMTo6IoICpuGIUBUeISdaRR6O57\n3w+pvqGBZrP73ttwfp8CBu+BdOh/ned5zpObm4vs7Gzcvn0b1dXVvHYp586di5UrVyIsLIy3ZxKi\nD4UOEWBZFg8ePOC6INXV1QgICEBwcDCOHj2KhoYGHDx4EGZmZnqP9YltOmpX54ZQACGGZuzAoT09\nZmZmpjODo66uDlFRUYiLi0NkZKTO16hUKl5vp66qqkJwcDCuXbtm9A4LIZ1BoUOEVCoV0tPTERsb\nCxcXF7i4uCA0NBQymQzu7u6CzgXpiKHmhlAIId3Fx6Vt2i6ehYWFzgyOiooKLF26FNu3b0dQUJDR\n62hPfX09QkJCsGHDBsydO1fQWgjRotAhQidOnMDixYuRmJiIZcuW6XRB7t27B39/f4SHh2PKlCmw\ntrYG0P5wI766IM3nhtjY2BjsmRRASGfxETiaH1dvfhvshQsX8Oc//xnfffcdPDw8jF5He1QqFWbP\nno2IiAjExsYKWgshzVHoEKHs7GwMGDAAgYGBrf5MpVKhsLAQCoUCp0+fxsCBAzFjxgzIZDKMGDFC\nsC6I9hdxy+mLxkAhhLSFj8DR1gwOAJDL5fjyyy+Rnp6OoUOHGr2O9rAsi/feew/29vbYtm2boLUQ\n0hKFDhPGsixqa2u5LkhtbS0CAgIQHh6OyZMn89YF0e7faPmLmA8UQAjAT+DQvs6bz8dhWRb79u3D\n999/j8OHD6N///5Gr6MjZ86cwbRp0+Dj48OF/82bN2PmzJkCV0YIhY4eRaVS4ezZs5DL5Th79iwG\nDRoEqVQKmUyGYcOGGbwLwte9L11BIaT34eOEinYgn62tLfc6ZxgGn332GaqqqrB7926DXLRISE9H\noaOH0nZBtNNR79+/j8DAQMhkMkyePJlbi+5uF0Soe1+6ikJIz8ZH4NAGa1tbW+7/B7VajdWrV2Pw\n4MFITk4W1ckxQsSMQkcv0dTUhMLCQmRkZODs2bOwt7fnuiBubm5d6oLwuX/DkCiA9CxCzeBoaGhA\nTEwMQkJCsGrVKpN5/RMiBhQ6eiGWZVFTUwOFQoHMzEw8ePAAkyZNgkwmQ1BQULtdEDMzMzAMA2tr\na52d+2KnfQNpPkKeQohpOvbtGKMfDdc3g+PJkyeIiorC+++/j/nz51PgIKSLKHQASElJwY4dO2Bu\nbo533nkHn332mdAl8aqpqQlnzpyBXC5HYWEhHBwcuBMxrq6ukEgkaGhoQElJCd5++22Ym5t3eNOm\nmHQ0GRWgLoipyErzb3VNgPayNe2V86/7OmQYBkqlstUMjqqqKixatAjJycmYPn26Ib4dQnqdXh86\nCgoKkJSUBLlcDgsLCzx69AgODg5ClyUYlmVRXV0NhUKBrKws/Pzzz/Dy8kJRURHGjh2Lb7/9FhKJ\nRBRzQTpDe8Sx5UyFjlAIEZ+2llNYltVZDmRZVicId/V1qNFooFQqW71erly5gpUrV2L37t3w8fF5\n7e+FkN6q14eO+fPn4/3330doaKjQpYhSVlYWFi5ciKCgIDx58gRvvPEG1wVxcXER7XRUlmXR1NSE\nxsZGnSOO3UEBRHid3b/RvAuiVqthZmbGdUHMzc3bfR3qm8Hxww8/4O9//zsOHjyIESNGvO63Qkiv\n1utDh5+fH+bMmYPMzExYW1vjiy++gL+/v9BliUJaWhpiY2Nx4MABhIWFcV0QuVyOrKwsPHz4kNsL\nMmnSJO7IoNBdEO2tnxqNRufEgaFQCOFXdzeMtvc6bLkUo28GR3p6Or777jukp6dj8ODBBvueCOmt\nekXokEqlqKura/X5TZs2Yf369QgNDcX27dtx8eJF/PGPf8Tdu3cFqFJ8amtroVarMXz48Db/vLGx\nEadPn4ZcLsf58+fh6OgImUwGqVQKZ2dnQbog+jYAGgsFEOMy5AmVlq9DAOjTpw+3RGNnZ8fN4GBZ\nFikpKbh48SL2798PGxsbg9WhT2ZmJmJjY6HRaBATE4O4uDijP5MQvvWK0NGeiIgIxMfHIzg4GAAw\nevRoFBUVwd7eXuDKTAvLsvjvf//LdUEeP36s0wXRtquN2QURw1FeCiGGY8wjsdrX4atXr6DRaAAA\nt27dQlZWFsLCwnD8+HGo1WqkpKS81tJcZ2k0Gnh4eCA3NxcuLi4ICAjAoUOH4OnpafRnE8KnXh86\ndu7cifv37yMxMREVFRWYMWMGqqurhS7L5L169UqnC+Lk5MR1QYYOHWrwLoiQo9j1oQDSPXyMNG9+\nhNrW1hbAr6Fj165dyMrKQl1dHWbPno3w8HCEh4fD1dXVqPWcO3cOiYmJyMzMBAAkJycDAOLj4436\nXEL4ZvwIL3LR0dGIjo7GuHHjY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"text": [ "" ] } ], "prompt_number": 150 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 6.1 Window width effects: local peaks and averaging\n", "[[back to top](#sections)]\n", "\n", "As we have discussed in an [earlier section](#compare_parzen), choosing an appropriate window width can be a challenging task, if we choose a window width that is too small, we will end up with local spikes in the densities, and if we choose a window width that is too large, we will be averaging over the entire distribution:\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "gde_01 = kde.gaussian_kde(x_2Dgauss.T, bw_method=0.01)\n", "gde_5 = kde.gaussian_kde(x_2Dgauss.T, bw_method=0.5)\n", "gde_20 = kde.gaussian_kde(x_2Dgauss.T, bw_method=2)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 82 }, { "cell_type": "code", "collapsed": false, "input": [ "for bwmethod,t in zip([gde_01, gde_5, gde_20], ['scalar h=0.05', 'scalar h=0.5', 'scalar h=2']):\n", " fig = plt.figure(figsize=(10, 7))\n", " ax = fig.gca(projection='3d')\n", " Z = bwmethod(np.array([X.ravel(),Y.ravel()]))\n", " Z = Z.reshape(100,100)\n", " surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "\n", " ax.set_zlim(0, 0.2)\n", " ax.zaxis.set_major_locator(plt.LinearLocator(10))\n", " ax.zaxis.set_major_formatter(plt.FormatStrFormatter('%.02f'))\n", " ax.set_xlabel('X')\n", " ax.set_ylabel('Y')\n", " ax.set_zlabel('p(x)')\n", " \n", " plt.title('Gaussian kernel, window width h=%s' %t)\n", " fig.colorbar(surf, shrink=0.5, aspect=7, cmap=plt.cm.coolwarm)\n", " plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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5aipRv4TfppyRMbmI1+uFRcb28nluxbQhLMvC7/dHaUP4mhCxNOzxituRiCZh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\nFRWhsLAQRqMRRqORE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YDaMXXi1pxfQ8210A2BlxOjBgvPWEFCQkOBwOeL1eZj1haIKJkTaEUrouKV5G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PN5orlRoRsGdFOHoipQNQ2KEqdwsucEiM+b/FqJ6NTwLwiCJrfjPMgeJ626XdN1mdeNmCIn3Xqc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\nS+HIrMNxHEaMGIHIyEgSImWksgkRoHLGTBBVCXJGC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CIZSXl2PKlClobGzE4cOHMX78+LT7raurQ0NDA+fWmT59OhoaGjB16lTRBXXy5MmwWq14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\nxWIxLk6AL1IKbcHlC0kKks0NNQSK0YNaWcuDbOTaXRYANm3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1SzfULMtmum/uGJZliT17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\nfBDd3d3485//jHXWWQf7778/Ojo68PGPf3zU1BP6ks6nUo4Gv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"text": [ "" ] } ], "prompt_number": 149 }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "fig = plt.figure(figsize=(10, 7))\n", "ax = fig.gca(projection='3d')\n", "\n", "Z = gde_5(np.array([X.ravel(),Y.ravel()]))\n", "Z = Z.reshape(100,100)\n", "surf = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4, alpha=0.3, label='h = 0.5')\n", "\n", "Z = gde_20(np.array([X.ravel(),Y.ravel()]))\n", "Z = Z.reshape(100,100)\n", "surf = ax.plot_wireframe(X, Y, Z, color='red', rstride=4, cstride=4, alpha=0.3, label='h = 2')\n", "\n", "Z = gde_01(np.array([X.ravel(),Y.ravel()]))\n", "Z = Z.reshape(100,100)\n", "surf = ax.plot_wireframe(X, Y, Z, color='green', rstride=4, cstride=4, alpha=0.3, label='h = 0.01')\n", "ax.set_zlim(0, 0.2)\n", "ax.zaxis.set_major_locator(plt.LinearLocator(10))\n", "ax.zaxis.set_major_formatter(plt.FormatStrFormatter('%.02f'))\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "ax.set_zlabel('p(x)')\n", "ax.legend()\n", "\n", "plt.title('Gaussian kernel, window width h=%s' %title)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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BIxhqUEqxePFiLFu2DJs3b8batWtx7733Bi77/PPPh3a47+rqwqpVq8ra53PP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U/uTpskEojj4yjPv0BKpyUY3CYcjXJu/BJjLy2iksscd3XgibrIZS4ijh5ALcuQTO6KtTUa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\n", "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# 7 Using the kernel density estimation for a pattern classification task\n", "[[back to top](#sections)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the [indtroduction](#introduction) I mentioned that a popular application of the Parzen-window technique is to estimate the class-conditional densities (or also often called 'likelihoods') $p(\\pmb x \\; | \\omega_i)$ in a supervised pattern classification problem from the training dataset (where $\\pmb x$ is a multi-dimensional sample that belongs to particular class $\\omega_i$). \n", "Now, let us use the kernel density estimation for designing a simple Bayes classifier." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Bayes' Rule\n", "\n", "To design a minimum error classifier, we will use Bayes' rule: \n", "\n", "$P(\\omega_i\\; | \\;\\pmb x) = \\frac{p(\\pmb x \\; | \\; \\omega_i) \\cdot P(\\omega_i)}{p(\\pmb x)}\\\\\n", "\\Rightarrow posterior \\; probability = \\frac{\\; likelihood \\; \\cdot \\; prior \\; probability}{evidence}$ \n", "\n", "#### Decision Rule\n", "\n", "Where the posterior probability is used to define our decision rule. E.g., for a simple 2-class problem with the two class labels $\\omega_1$ and $\\omega_2$: \n", "\n", "decide $\\omega_1$ if $P(\\omega_1\\; | \\;\\pmb x) > P(\\omega_2\\; | \\;\\pmb x)$, else decide $\\omega_2$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Objective funtion\n", "\n", "For this example, let us simplify the problem a little bit. We will assume that we have equal prior probabilities (the probability to encounter a particular class is equal): \n", "$P(\\omega_1) = P(\\omega_2) = ... = P(\\omega_n) = \\frac{1}{n}$ \n", "\n", "And since $p(\\pmb x)$ is just a scale factor that is equal for all posterior probabilities, we can drop it from the equation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can simplify the decision rule, so that it just depends on the priors. For a 2-class problem, this would be \n", "\n", "decide $p(\\omega_1)$ if $p(\\pmb x \\; | \\; \\omega_1)$ > $p(\\pmb x \\; | \\; \\omega_1)$, else decide $p(\\omega_2)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Bayes classifier\n", "\n", "And in more general (for multiple classes), our classifier becomes \n", "$\\omega_j$\n", "-> max[\n", "$p(\\pmb x \\; | \\; \\omega_j)$\n", "] for\n", "$j = 1, 2, ..., c$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 7.1 Generating a sample training and test dataset\n", "[[back to top](#sections)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us generate random 2-dimensional data for 3 classes from a multivariate Gaussian distribution with the following parameters: \n", "\n", "$p(\\pmb x \\; | \\; \\omega_i) \\sim N(\\mu_i, \\Sigma_i) \\sim \\frac{1}{(2\\pi)^{d/2} |\\Sigma|^{1/2}} \\exp{ \\bigg[-\\frac{1}{2} (\\pmb{x}-\\pmb{\\mu})^t \\Sigma^{-1}(\\pmb{x}-\\pmb{\\mu}) \\bigg] }$ \n", "\n", "$\\Rightarrow$\n", "\n", "$p([x_1, x_2]^t |\\omega_1) \\sim N([0,0]^t,1I), \\\\\n", "p([x_1, x_2]^t |\\omega_2) \\sim N([3,0]^t,2I), \\\\\n", "p([x_1, x_2]^t |\\omega_3) \\sim N([4,5]^t,3I),$\n", "\n", "and \n", "\n", "$P(\\omega_1) = P(\\omega_2) = P(\\omega_3) = \\frac{1}{3}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "Now, we will create 120 random samples for each of the 3 classes, and divide it into a equally-sized training and test data set, so that each set will contain 30 samples from each class." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "# Covariance matrices\n", "cov_mats = {}\n", "for i in range(1,4):\n", " cov_mats[i] = i * np.eye(2)\n", " \n", "# mean vectors \n", "mu_vecs = {}\n", "for i,j in zip(range(1,4), [[0,0], [3,0], [4,5]]):\n", " mu_vecs[i] = np.array(j).reshape(2,1) " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 107 }, { "cell_type": "code", "collapsed": false, "input": [ "# Example for accessing parameters, e.g., mu_vec and cov_mat for class2\n", "print('mu_vec2\\n', mu_vecs[2])\n", "print('cov_mat2\\n', cov_mats[2])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "mu_vec2\n", " [[3]\n", " [0]]\n", "cov_mat2\n", " [[ 2. 0.]\n", " [ 0. 2.]]\n" ] } ], "prompt_number": 110 }, { "cell_type": "code", "collapsed": false, "input": [ "# Generating the random samples\n", "all_samples = {}\n", "for i in range(1,4):\n", " # generating 40x2 dimensional arrays with random Gaussian-distributed samples\n", " class_samples = np.random.multivariate_normal(mu_vecs[i].ravel(), cov_mats[i], 40)\n", " # adding class label to 3rd column\n", " class_samples = np.append(class_samples, np.zeros((40,1))+i, axis=1)\n", " all_samples[i] = class_samples" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 135 }, { "cell_type": "code", "collapsed": false, "input": [ "# Dividing the samples into training and test datasets\n", "train_set = np.append(all_samples[1][0:20], all_samples[2][0:20], axis=0)\n", "train_set = np.append(train_set, all_samples[3][0:20], axis=0)\n", "\n", "test_set = np.append(all_samples[1][20:40], all_samples[2][20:40], axis=0)\n", "test_set = np.append(test_set, all_samples[3][20:40], axis=0)\n", "\n", "assert(train_set.shape == (60, 3))\n", "assert(test_set.shape == (60, 3))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 136 }, { "cell_type": "code", "collapsed": false, "input": [ "# Visualizing samples by plotting them in a scatter plot\n", "\n", "#%pylab inline\n", "\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "for dset,title in zip((test_set, train_set), ['Test', 'Training']):\n", " f, ax = plt.subplots(figsize=(7, 7))\n", " ax.scatter(dset[dset[:,2] == 1][:,0], dset[dset[:,2] == 1][:,1], \\\n", " marker='o', color='green', s=40, alpha=0.5, label='$\\omega_1$')\n", " ax.scatter(dset[dset[:,2] == 2][:,0], dset[dset[:,2] == 2][:,1], \\\n", " marker='^', color='red', s=40, alpha=0.5, label='$\\omega_2$')\n", " ax.scatter(dset[dset[:,2] == 3][:,0], dset[dset[:,2] == 3][:,1], \\\n", " marker='s', color='blue', s=40, alpha=0.5, label='$\\omega_3$')\n", " plt.legend(loc='upper right') \n", " plt.title('{} Dataset'.format(title), size=20)\n", " plt.ylabel('$x_2$', size=20)\n", " plt.xlabel('$x_1$', size=20)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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npxu333fffejXrx/c3NzMVqBGo8FHH32EEydOID09HZ9++ilOnTpltv0TERF1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\n3nOP3JVZXsvdL06ckK4b3nKL1Bn6+fX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fIzg4GElJSVzxgYiIzMqmL4Hu2bMHmzdvxtatW9HQ0ICqqirMmTMH69atM9gv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\niMyEFSBZlCiK+PjIx1AJKkT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"text": [ "" ] } ], "prompt_number": 138 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 7.2 Implementing the classifier using Bayes' decision rule\n", "[[back to top](#sections)]\n", "\n", "Now, let us implement the classifier. To recapitulate:\n", "\n", "$decide \\; \\omega_j \\; for \\;\\; max \\;\\bigg[ P(\\omega_j|x) = \\frac{p(x|\\omega_j) * P(\\omega_j)}{p(x)} \\bigg]\\;, \\;\\; j = 1, 2, 3 $\n", "\n", "We can remove the prior probabilities (equal priors) and the scale factor:\n", "\n", "\n", "$decide \\; \\omega_j \\; for \\;\\; max \\;[ p(x|\\omega_j) ]\\;, \\;\\; j = 1, 2, 3 $" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import operator\n", "\n", "def bayes_classifier(x_vec, kdes):\n", " \"\"\"\n", " Classifies an input sample into class w_j determined by\n", " maximizing the class conditional probability for p(x|w_j).\n", " \n", " Keyword arguments:\n", " x_vec: A dx1 dimensional numpy array representing the sample.\n", " kdes: List of the gausssian_kde (kernel density) estimates\n", " \n", " Returns a tuple ( p(x|w_j)_value, class label ).\n", " \n", " \"\"\"\n", " p_vals = []\n", " for kde in kdes:\n", " p_vals.append(kde.evaluate(x_vec))\n", " max_index, max_value = max(enumerate(p_vals), key=operator.itemgetter(1))\n", " return (max_value, max_index + 1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 139 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 7.3 Density estimation via the Parzen-window technique with a Gaussian kernel\n", "[[back to top](#sections)]\n", "\n", "For our convenience, let us use the `scipy.stats` library class `kde` for the kernel density estimation: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.stats import kde\n", "class1_kde = kde.gaussian_kde(train_set[train_set[:,2] == 1].T[0:2], bw_method='scott')\n", "class2_kde = kde.gaussian_kde(train_set[train_set[:,2] == 2].T[0:2], bw_method='scott')\n", "class3_kde = kde.gaussian_kde(train_set[train_set[:,2] == 3].T[0:2], bw_method='scott')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 143 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
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\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 7.4 Classifying the test data and calculating the error rate\n", "[[back to top](#sections)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, it is time to classify the test data and calculate the empirical error." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def empirical_error(data_set, classes, classifier_func, classifier_func_args):\n", " \"\"\"\n", " Keyword arguments:\n", " data_set: 'n x d'- dimensional numpy array, class label in the last column.\n", " classes: List of the class labels.\n", " classifier_func: Function that returns the max argument from the discriminant function.\n", " evaluation and the class label as a tuple.\n", " classifier_func_args: List of arguments for the 'classifier_func'.\n", " \n", " Returns a tuple, consisting of a dictionary withthe classif. counts and the error.\n", " \n", " e.g., ( {1: {1: 321, 2: 5}, 2: {1: 0, 2: 317}}, 0.05)\n", " where keys are class labels, and values are sub-dicts counting for which class (key)\n", " how many samples where classified as such.\n", " \n", " \"\"\"\n", " class_dict = {i:{j:0 for j in classes} for i in classes}\n", "\n", " for cl in classes:\n", " for row in data_set[data_set[:,-1] == cl][:,:-1]:\n", " g = classifier_func(row, *classifier_func_args)\n", " class_dict[cl][g[1]] += 1\n", " \n", " correct = 0\n", " for i in classes:\n", " correct += class_dict[i][i]\n", " \n", " misclass = data_set.shape[0] - correct\n", " return (class_dict, misclass / data_set.shape[0])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 144 }, { "cell_type": "code", "collapsed": false, "input": [ "import prettytable\n", "\n", "classification_dict, error = empirical_error(test_set, [1,2,3], bayes_classifier, [[class1_kde, class2_kde, class3_kde]])\n", "\n", "labels_predicted = ['w{} (predicted)'.format(i) for i in [1,2,3]]\n", "labels_predicted.insert(0,'test dataset')\n", "\n", "train_conf_mat = prettytable.PrettyTable(labels_predicted)\n", "for i in [1,2,3]:\n", " a, b, c = [classification_dict[i][j] for j in [1,2,3]]\n", " # workaround to unpack (since Python does not support just '*a')\n", " train_conf_mat.add_row(['w{} (actual)'.format(i), a, b, c])\n", "print(train_conf_mat)\n", "print('Empirical Error: {:.2f} ({:.2f}%)'.format(error, error * 100))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "+--------------+----------------+----------------+----------------+\n", "| test dataset | w1 (predicted) | w2 (predicted) | w3 (predicted) |\n", "+--------------+----------------+----------------+----------------+\n", "| w1 (actual) | 19 | 1 | 0 |\n", "| w2 (actual) | 5 | 14 | 1 |\n", "| w3 (actual) | 0 | 1 | 19 |\n", "+--------------+----------------+----------------+----------------+\n", "Empirical Error: 0.13 (13.33%)\n" ] } ], "prompt_number": 145 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Conclusion\n", "Given that we have a fairly small training sample size (20 samples per class), the error rate is fairly small on the test dataset. Given the convergence principle \n", "$\\lim\\limits_{n \\rightarrow \\infty}{p_n(\\pmb x)} = p(\\pmb x)$ \n", "We would likely improve the performance of the classifier if we would be able to increase the size of the training dataset. By the way, the performance on the training data set here is expected to be much better, since this is the data set used to derive the parameters." ] }, { "cell_type": "code", "collapsed": false, "input": [ "classification_dict, error = empirical_error(train_set, [1,2,3], bayes_classifier, [[class1_kde, class2_kde, class3_kde]])\n", "\n", "labels_predicted = ['w{} (predicted)'.format(i) for i in [1,2,3]]\n", "labels_predicted.insert(0,'training dataset')\n", "\n", "train_conf_mat = prettytable.PrettyTable(labels_predicted)\n", "for i in [1,2,3]:\n", " a, b, c = [classification_dict[i][j] for j in [1,2,3]]\n", " # workaround to unpack (since Python does not support just '*a')\n", " train_conf_mat.add_row(['w{} (actual)'.format(i), a, b, c])\n", "print(train_conf_mat)\n", "print('Empirical Error: {:.2f} ({:.2f}%)'.format(error, error * 100))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "+------------------+----------------+----------------+----------------+\n", "| training dataset | w1 (predicted) | w2 (predicted) | w3 (predicted) |\n", "+------------------+----------------+----------------+----------------+\n", "| w1 (actual) | 20 | 0 | 0 |\n", "| w2 (actual) | 0 | 20 | 0 |\n", "| w3 (actual) | 0 | 1 | 19 |\n", "+------------------+----------------+----------------+----------------+\n", "Empirical Error: 0.02 (1.67%)\n" ] } ], "prompt_number": 148 } ], "metadata": {} } ] }