{ "cells": [ { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "# 1. Introduction\n", "\n", "### *Table of Contents*\n", "\n", "* 1.1 [Example: Polynomial Curve Fitting](#1.1-Example:-Polynomial-Curve-Fitting)\n", "* 1.2 [Probability Theory](#1.2-Probability-Theory)\n", " * 1.2.1 [Probability densities](#1.2.1-Probability-densities)\n", " * 1.2.2 [Expectations and covariances](#1.2.2-Expectations-and-covariances)\n", " * 1.2.4 [The Gaussian distribution](#1.2.4-The-Gaussian-distribution)\n", " * 1.2.5 [Curve fitting re-visited](#1.2.5-Curve-fitting-re-visited)\n", "* 1.6 [Information Theory](#1.6-Information-Theory)\n", " * 1.6.1 [Relative entropy and mutual information](#1.6.1-Relative-entropy-and-mutual-information)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "# Standard Library\n", "import math\n", "\n", "# Dependencies\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Project\n", "from prml.datasets import generate_toy_data\n", "from prml.distribution import Gaussian, MultivariateGaussian\n", "from prml.linear.linear_regression import LinearRegression\n", "from prml.linear.ridge_regression import RidgeRegression\n", "from prml.preprocessing import PolynomialFeature\n", "\n", "# Set random seed to make deterministic\n", "np.random.seed(0)\n", "\n", "# Ignore zero divisions and computation involving NaN values.\n", "np.seterr(divide=\"ignore\", invalid=\"ignore\")\n", "\n", "# Enable higher resolution plots\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## 1.1. Example: [Polynomial Curve Fitting](https://machinelearningcompass.com/machine_learning_models/linear_regression)\n", "\n", "For presentation purposes, consider a synthetically generated example dataset. The data were generated from the function $\\sin(2\\pi x)$ by adding random Gaussian noise having standard deviation $\\sigma=0.3$.\n", "\n", "We generated $N=10$ observations spaced uniformly in range $[0,1]$. These observations comprise the input data vector,\n", "\n", "$$\n", "\\mathsf{x} = (x_1,\\dots,x_N)^\\text{T}\n", "$$\n", "\n", "For each generated observation $x$ we obtained its corresponding value of the function $\\sin(2\\pi x)$ and then adding the random noise to capture the real-life situation of missing information.\n", "\n", "$$\n", "\\mathsf{t} = (t_1,\\dots,t_N)^\\text{T}\n", "$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 437, "width": 584 } }, "output_type": "display_data" } ], "source": [ "# Sine function\n", "\n", "\n", "def sin(x: np.ndarray) -> np.ndarray:\n", " return np.sin(2 * np.pi * x)\n", "\n", "\n", "# Generate a train data set\n", "x_train, y_train = generate_toy_data(sin, 10, 0.3)\n", "\n", "# Generate a test data set\n", "x_test = np.linspace(0, 1, 100)\n", "y_test = sin(x_test)\n", "\n", "plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\", s=50, label=\"Training data\")\n", "plt.plot(x_test, y_test, color=\"g\", label=\"$\\\\sin(2\\\\pi x)$\")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.ylabel(\"$y$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "The generated training dataset of $N=10$ points is shown as blue circles, each comprising an observation of the input variable $x$ along with the corresponding target variable $t$. The green curve shows the function $\\sin(2\\pi x)$ used to generate the data.\n", "\n", "### Polynomial Linear Model\n", "\n", "Our goal is to predict the value of $\\hat{t}$ for some **new** value of $\\hat{x}$, in the absence of any knowledge for the green curve. To that end, we consider a simple approach based on curve fitting. In particular, we shall try to fit the data using a polynomial function of the form\n", "\n", "$$\n", "y(x, \\mathbf{w}) = w_0 + w_1x + w_2x^2 + \\dots + w_Mx^M = \\sum_{j=0}^M w_jx^j\n", "$$\n", "\n", "where $M$ is the *order* of the polynomial. Functions, such as $y(x, \\mathbf{w})$, that are linear functions of the unknown coefficients $\\mathbf{w}$, are called *linear models*.\n", "\n", "### Error Function\n", "\n", "Next, we need to determine the values of the coefficients $\\mathbf{w}$ by fitting the polynomial to the training data. This can be done by minimizing an *error function* that measures the misfit between the function $y(x,\\mathbf{w})$, for a given value of $\\mathbf{w}$, and the training data points.\n", "\n", "One simple error function is the *sum of squares of the errors* between $y(x,\\mathbf{w})$ and the corresponding target values $t_n$\n", "\n", "$$\n", "E(\\mathbf{w}) = \\frac{1}{2}\\sum_{n=1}^N (y(x_n,\\mathbf{w}) - t_n)^2 \\geq 0\n", "$$\n", "\n", "where the function becomes zero if, and only if, the function $y(x,\\mathbf{w})$ were to pass\n", "exactly through each training data point.\n", "\n", "We can solve the curve fitting problem by choosing the value of $\\mathbf{w}$ for which $E(\\mathbf{w})$ is as small as possible. Because the error function is quadratic, its derivatives are linear, and so the minimization of the function has a unique closed from solution, denoted by $\\mathbf{w}^\\star$. To minimize the error function we should derive the gradient vector, set it equal to zero and solve for $\\mathbf{w}^\\star$ as follows,\n", "\n", "$$\n", "\\nabla E(\\mathbf{w}^\\star) = \\mathbf{0}\n", "$$\n", "\n", "First, we have to substitute the polynomial into the error function\n", "\n", "$$\n", "E(\\mathbf{w}) = \\frac{1}{2}\\sum_{n=1}^N \\Big(\\sum_{j=0}^M w_jx_n^j - t_n \\Big)^2\n", "$$\n", "\n", "Note that each of the $N$ data points from the generated training set has $1$ dimension, that is $x \\in \\mathbb{R}$. However, the polynomial function populates $M$ features for each input $x$, essentially transforming $x$ into a $M$-dimensional vector. Thus, the training set $\\mathsf{x}$ can be written as a $N\\times M$ matrix $\\mathbf{X}$ where $\\mathbf{X}_{nj}$ represents $x_n^j$, that is, the $n$-th input value raised in the power of $j$.\n", "\n", "To find the gradient vector, we take the partial derivative of $E$ with respect to an arbitrary $w_k$. Differentiating the sum, term by term, we get\n", "\n", "$$\n", "\\begin{aligned}\n", "\\nabla E(\\mathbf{w}^\\star)_k &= \\frac{\\partial}{\\partial w_k} (\\mathbf{w}) \\\\\n", "&= \\frac{1}{2}\\sum_{n=1}^N 2 (\\sum_{j=0}^M w_jx_n^j - t_n)x_n^k\n", "= \\sum_{n=1}^N (\\sum_{j=0}^M w_jx_n^j - t_n)x_n^k \\\\\n", "&= \\sum_{n=1}^N (\\mathbf{X}\\mathbf{w} - \\mathsf{t})_n\\mathbf{X}_{nk}\n", "= \\sum_{n=1}^N \\mathbf{X}_{kn}^\\text{T}(\\mathbf{X}\\mathbf{w} - \\mathsf{t})_n \\\\\n", "&= \\big(\\mathbf{X}^\\text{T}(\\mathbf{X}\\mathbf{w} - \\mathsf{t})\\big)_k\n", "\\end{aligned}\n", "$$\n", "\n", "Using the partial derivative for one component, we compute the gradient vector by dropping the $k$ subscript. Thus, the minimizer $\\mathbf{w}^\\star$ must satisfy\n", "\n", "$$\n", "\\nabla E(\\mathbf{w}^\\star) = \\mathbf{X}^\\text{T}(\\mathbf{X}\\mathbf{w}^\\star - \\mathsf{t}) = \\mathbf{0}\n", "$$\n", "\n", "Solving for $\\mathbf{w}^\\star$ gives the unique solution of the curve fitting problem\n", "\n", "$$\n", "\\mathbf{X}^\\text{T}(\\mathbf{X}\\mathbf{w}^\\star - \\mathsf{t}) = \\mathbf{0} \\Leftrightarrow\n", "\\mathbf{X}^\\text{T}\\mathbf{X}\\mathbf{w}^\\star = \\mathbf{X}^\\text{T}\\mathsf{t} \\Leftrightarrow\n", "\\mathbf{w}^\\star = (\\mathbf{X}^\\text{T}\\mathbf{X})^{-1}\\mathbf{X}^\\text{T}\\mathsf{t}\n", "$$\n", "\n", "The resulting polynomial is given by the function $y(x, \\mathbf{w}^\\star)$.\n", "\n", "### Model Selection\n", "\n", "There remains the problem of choosing the order $M$ of the polynomial, which is an example of the important concept called *model selection*.\n", "\n", "In order to study the effect of different $M$ values, we plot the result of fitting polynomials having orders $M=0,1,3,9$ to the data set." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "jupyter": { "outputs_hidden": false }, "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 469, "width": 834 } }, "output_type": "display_data" } ], "source": [ "for i, degree in enumerate([0, 1, 3, 9]):\n", " plt.subplot(2, 2, i + 1)\n", " plt.tight_layout()\n", "\n", " feature = PolynomialFeature(degree)\n", " x_train_features = feature.transform(x_train)\n", " x_test_features = feature.transform(x_test)\n", "\n", " model = LinearRegression()\n", " model.fit(x_train_features, y_train)\n", " y, _ = model.predict(x_test_features)\n", "\n", " plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\", s=50, label=\"Training data\")\n", " plt.plot(x_test, y_test, color=\"g\", label=\"$\\\\sin(2\\\\pi x)$\")\n", " plt.plot(x_test, y, color=\"r\", label=\"Fitting\")\n", " plt.ylim(-2, 2)\n", " plt.title(f\"$M={degree}$\", fontsize=14)\n", "\n", "plt.legend(bbox_to_anchor=(1, 0.85), loc=2, borderaxespad=1, fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Note that the constant ($M=0$) and first order ($M=1$) polynomials give rather poor fits to the data. The third order ($M=3$) polynomial seems to give the best fit, while the higher order one ($M=9$) achieves an excellent fit to the data, that is, $E(\\mathbf{w}^\\star) = \\mathbf{0}$. However, the fitted curve gives a poor representation of the underlying function $\\sin(2\\pi x)$. This phenomenon is known as *over-fitting*.\n", "\n", "A more quantitative insight into the generalization performance on $M$ can be obtained by using the *root-mean-square* (RMS) error defined as\n", "\n", "$$\n", "E_{RMS} = \\sqrt{2\\frac{E(\\mathbf{w}^\\star)}{N}}\n", "$$\n", "\n", "The RMS error on both training and test data points for each value of $M$ is shown in the following figure:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "jupyter": { "outputs_hidden": false }, "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 440, "width": 572 } }, "output_type": "display_data" } ], "source": [ "def rms_error(a, b):\n", " return np.sqrt(2 * np.mean(np.square(a - b)))\n", "\n", "\n", "training_errors = []\n", "test_errors = []\n", "\n", "for i in range(10):\n", " feature = PolynomialFeature(i)\n", " x_train_features = feature.transform(x_train)\n", " x_test_features = feature.transform(x_test)\n", "\n", " model = LinearRegression()\n", " model.fit(x_train_features, y_train)\n", " y, _ = model.predict(x_test_features)\n", " training_errors.append(rms_error(model.predict(x_train_features), y_train))\n", " test_errors.append(\n", " rms_error(model.predict(x_test_features), y_test + np.random.normal(scale=0.3, size=len(y_test)))\n", " )\n", "\n", "plt.plot(training_errors, \"o-\", mfc=\"none\", mec=\"b\", ms=10, c=\"b\", label=\"Training error\")\n", "plt.plot(test_errors, \"o-\", mfc=\"none\", mec=\"r\", ms=10, c=\"r\", label=\"Test error\")\n", "plt.xlabel(\"$M$\", fontsize=14)\n", "plt.ylabel(\"$E_{RMS}$\", fontsize=14)\n", "plt.legend(fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The test set error is measuring how well we are doing in predicting the values of $t$ for new data observations of $x$. For $M=9$, the training set error goes to zero, because the polynomial contains $10$ degrees of freedom and so it can be tuned exactly to the $10$ data points in the training set.\n", "\n", "It is also interesting to examine the behavior of the model as the size of the data increases. The following figure depicts the result of fitting the $M=9$ polynomial for $N=15$ and $N=100$ data points." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "jupyter": { "outputs_hidden": false }, "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 436, "width": 775 } }, "output_type": "display_data" } ], "source": [ "for i, size in enumerate([15, 100]):\n", " plt.subplot(1, 2, i + 1)\n", "\n", " # Generate a train set\n", " x_train_100, y_train_100 = generate_toy_data(sin, size, 0.3)\n", "\n", " # Generate a test set\n", " x_test_100 = np.linspace(0, 1, 100)\n", " y_test_100 = sin(x_test)\n", "\n", " feature = PolynomialFeature(9)\n", " x_train_100_features = feature.transform(x_train_100)\n", " x_test_100_features = feature.transform(x_test_100)\n", "\n", " model = LinearRegression()\n", " model.fit(x_train_100_features, y_train_100)\n", " y, _ = model.predict(x_test_100_features)\n", "\n", " plt.scatter(x_train_100, y_train_100, facecolor=\"none\", edgecolor=\"b\", s=50, label=\"Training data\")\n", " plt.plot(x_test_100, y_test_100, color=\"g\", label=\"$\\\\sin(2\\\\pi x)$\")\n", " plt.plot(x_test_100, y, color=\"r\", label=\"Fitting\")\n", " plt.ylim(-1.5, 1.5)\n", " plt.title(f\"$N={size}$\", fontsize=14)\n", "\n", "plt.legend(bbox_to_anchor=(1, 0.64), loc=2, borderaxespad=1, fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Note that the over-fitting problem becomes less severe as the size of the data set increases. In other words, the larger the data set, the more complex the model that we can afford to fit to the data.\n", "\n", "### Regularization\n", "\n", "One technique that is often used to control the over-fitting phenomenon is that of *regularization*, which adds a penalty term to the error function in order to discourage the coefficients from reaching large values. The simplest such penalty term is the sum of squares of all of the coefficients, leading to a modified error function of the following form\n", "\n", "$$\n", "\\tilde{E}(\\mathbf{w}) = \\frac{1}{2}\\sum_{n=1}^N (y(x_n,\\mathbf{w}) - t_n)^2 + \\lambda||\\mathbf{w}||_2^2\n", "$$\n", "\n", "Such techniques are known as *shrinkage* methods because they reduce the value of the coefficients. The particular case of the quadratic regularization is called *ridge regression*. In neural networks, this approach is also known as *weight decay*.\n", "\n", "Similar to the previous case, the ridge error function can be minimized exactly in closed form as follows,\n", "\n", "$$\n", "\\begin{aligned}\n", "\\nabla E(\\mathbf{w}^\\star)_k &= \\frac{\\partial}{\\partial w_k} (\\mathbf{w}) \\\\\n", "&= \\frac{1}{2}\\sum_{n=1}^N 2 (\\sum_{j=0}^M w_jx_n^j - t_n)x_n^k + \\frac{1}{2}\\lambda 2w_k \\\\\n", "&= \\sum_{n=1}^N (\\sum_{j=0}^M w_jx_n^j - t_n)x_n^k + \\lambda w_k \\\\\n", "&= \\sum_{n=1}^N (\\mathbf{X}\\mathbf{w} - \\mathsf{t})_n\\mathbf{X}_{nk} + \\lambda w_k\n", "= \\sum_{n=1}^N \\mathbf{X}_{kn}^\\text{T}(\\mathbf{X}\\mathbf{w} - \\mathsf{t})_n + \\lambda w_k \\\\\n", "&= \\big(\\mathbf{X}^\\text{T}(\\mathbf{X}\\mathbf{w} - \\mathsf{t})\\big)_k + \\lambda w_k\n", "\\end{aligned}\n", "$$\n", "\n", "Using the partial derivative for one component, we compute the gradient vector by dropping the $k$ subscript. Then, the minimizer $\\mathbf{w}^\\star$ must satisfy\n", "\n", "$$\n", "\\nabla E(\\mathbf{w}^\\star) =\n", "\\mathbf{X}^T(\\mathbf{X}\\mathbf{w}^\\star - \\mathsf{t}) + \\lambda\\mathbf{w}^\\star\\mathbf{I}= \\mathbf{0}\n", "$$\n", "\n", "Solving for $\\mathbf{w}^\\star$ gives the unique solution that minimizes the ridge error\n", "\n", "$$\n", "\\begin{aligned}\n", "& \\mathbf{X}^\\text{T}(\\mathbf{X}\\mathbf{w}^\\star - \\mathsf{t}) + \\lambda\\mathbf{w}^\\star\\mathbf{I} = \\mathbf{0} \\Leftrightarrow \\\\\n", "& \\mathbf{X}^\\text{T}\\mathbf{X}\\mathbf{w}^\\star - \\mathbf{X}^\\text{T}\\mathsf{t} + \\lambda\\mathbf{w}^\\star\\mathbf{I} = \\mathbf{0} \\Leftrightarrow \\\\\n", "& \\mathbf{X}^\\text{T}\\mathbf{X}\\mathbf{w}^\\star + \\lambda\\mathbf{w}^*\\mathbf{I} = \\mathbf{X}^\\text{T}\\mathsf{t} \\Leftrightarrow \\\\\n", "& \\mathbf{w}^\\star(\\mathbf{X}^\\text{T}\\mathbf{X} + \\lambda\\mathbf{I}) = \\mathbf{X}^\\text{T}\\mathsf{t} \\Leftrightarrow \\\\\n", "& \\mathbf{w}^\\star = (\\mathbf{X}^\\text{T}\\mathbf{X} + \\lambda\\mathbf{I})^{-1}\\mathbf{X}^\\text{T}\\mathsf{t}\n", "\\end{aligned}\n", "$$\n", "\n", "The following figures depict the results of fitting the polynomial of order $M=9$ to the same data set as before but this time using the regularized error function. We see that, for a value of $\\ln\\lambda=−18$, the over-fitting has been suppressed and we obtain a much closer representation of the underlying function $\\sin(2\\pi x)$. If, however, we use too large a value for $\\lambda$ then we again obtain a poor fit." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 470, "width": 835 } }, "output_type": "display_data" } ], "source": [ "feature = PolynomialFeature(9)\n", "x_train_features = feature.transform(x_train)\n", "x_test_features = feature.transform(x_test)\n", "\n", "for i, ln_lambda in enumerate([float(\"-inf\"), -18, 0]):\n", " plt.subplot(1, 3, i + 1)\n", " plt.tight_layout()\n", "\n", " model = RidgeRegression(alpha=math.exp(ln_lambda))\n", " model.fit(x_train_features, y_train)\n", " y, _ = model.predict(x_test_features)\n", "\n", " plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\", s=50, label=\"Training data\")\n", " plt.plot(x_test, y_test, color=\"g\", label=\"$\\\\sin(2\\\\pi x)$\")\n", " plt.plot(x_test, y, color=\"r\", label=\"Fitting\")\n", " plt.ylim(-2, 2)\n", " plt.title(f\"$\\\\ln\\\\lambda={ln_lambda}$\", fontsize=14)\n", "\n", "plt.legend(bbox_to_anchor=(1, 0.65), loc=2, borderaxespad=1, fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "A sample of coefficients from the fitted polynomials is presented in the table below, showing that regularization has the desired effect of reducing the magnitude of the coefficients.\n", "\n", "| $\\ln\\lambda{=}-\\infty$ | $\\ln\\lambda{=}-18$ | $\\ln\\lambda{=}0$ |\n", "|-----------------------:|-------------------:|-----------------:|\n", "| $0.39$ | $0.38$ | $0.36$ |\n", "| $-135.04$ | $-2.14$ | $-0.46$ |\n", "| $3206.76$ | $81,88$ | $-0.39$ |\n", "| $-29215.92$ | $-390.51$ | $-0.22$ |\n", "| $139594.34$ | $578.12$ | $-0.05$ |\n", "| $-388863.80$ | $-31.48$ | $0.07$ |\n", "| $652373.24$ | $-49.12$ | $0.17$ |\n", "| $-648124.69$ | $-28.57$ | $0.25$ |\n", "| $350721.94$ | $540.17$ | $0.31$ |\n", "| $-79556.29$ | $-255.65$ | $0.35$ |\n", "\n", "The impact of the regularization term on the generalization error can be seen by plotting the value of the RMS error for both training and test sets against $\\ln\\lambda$, as shown in the next figure. We see that $\\lambda$ controls the effective complexity of the model and hence determines the degree of over-fitting." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 437, "width": 572 } }, "output_type": "display_data" } ], "source": [ "training_errors = []\n", "test_errors = []\n", "\n", "feature = PolynomialFeature(9)\n", "x_train_features = feature.transform(x_train)\n", "x_test_features = feature.transform(x_test)\n", "\n", "ln_lambda_values = range(-40, -20, 1)\n", "for ln_lambda in ln_lambda_values:\n", " model = RidgeRegression(alpha=math.exp(ln_lambda))\n", " model.fit(x_train_features, y_train)\n", " training_errors.append(rms_error(model.predict(x_train_features)[0], y_train))\n", " test_errors.append(\n", " rms_error(model.predict(x_test_features)[0], y_test + np.random.normal(scale=0.3, size=len(y_test)))\n", " )\n", "\n", "plt.plot(ln_lambda_values, training_errors, mfc=\"none\", mec=\"b\", ms=10, c=\"b\", label=\"Training error\")\n", "plt.plot(ln_lambda_values, test_errors, mfc=\"none\", mec=\"r\", ms=10, c=\"r\", label=\"Test error\")\n", "plt.xlabel(\"$\\\\ln\\\\lambda$\", fontsize=14)\n", "plt.ylabel(\"$E_{RMS}$\", fontsize=14)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "# 1.2 [Probability Theory](https://seeing-theory.brown.edu)\n", "\n", "The probability $p(A)$ of an event $A$ is always a non-negative number, i.e.,\n", "\n", "$$\n", "p(A) \\geq 0\n", "$$\n", "\n", "The probability $p(B)$ of an event $B$ which is certain to occur is always equal to one, i.e.,\n", "\n", "$$\n", "p(B) = 1\n", "$$\n", "\n", "In case two events $A$ and $B$ are **mutually exclusive**, that is, they cannot occur simultaneously $p(A \\cap B)=0$, then the probability of occurrence of either $A$ or $B$ is denoted as $A \\cup B$ and is given by\n", "\n", "$$\n", "p(A \\cup B) = p(A) + p(B) - 2p(A \\cap B) = p(A) + p(B)\n", "$$\n", "\n", "![Venn](../images/venn.png)\n", "\n", "### Rules of Probability\n", "\n", "Consider the slightly more general example involving two random variables $X$ and $Y$ instead of just two events (which are essentially binary random variables). Suppose that $X$ can take any of the values $x_i$, and $Y$ can take the values $y_j$. Moreover, consider a total of $N$ trials, and let the number of such trials in which $X=x_i$ and $Y=y_j$ be $n_{ij}$. Also, let the number of trials in which $X$ takes the value $x_i$ (irrespective of the value that $Y$ takes) be denoted by $c_i$, and similarly let the number of trials in which $Y$ takes the value $y_j$ be denoted by $r_j$.\n", "\n", "\n", "\n", "Then the **marginal**, **conditional** and **joint probabilities** are given by\n", "\n", "$$\n", "p(X=x_i)=\\frac{c_i}{N}\\quad\n", "p(Y=y_j)=\\frac{r_j}{N}\\quad\n", "p(X=x_i,Y=y_j)=\\frac{n_{ij}}{N}\\quad\n", "p(Y=y_j|X=x_i)=\\frac{r_j}{c_i}\n", "$$\n", "\n", "Note that the joint probability $p(X=x_i,Y=y_j)$ is short notation for $p(X=x_i \\cap Y=y_j)$.\n", "\n", "#### Sum rule:\n", "\n", "$$\n", "p(X) = \\sum_Y p(X,Y) = \\int_Y p(X,Y) dY\n", "$$\n", "\n", "Applying the sum rule as above is called \"marginalizing out $Y$\".\n", "\n", "#### Product rule:\n", "\n", "$$\n", "p(X,Y) = p(Y|X)p(X)\n", "$$\n", "\n", "Computing $p(Y|X)$ is called \"conditioning on $X$\". The product rule is generalized as follows\n", "\n", "$$\n", "p(X_1,X_2,\\dots,X_K) = p(X_K|X_{K-1},\\dots,X_1)p(X_{K-1},\\dots,X_1),\\dots\n", "$$\n", "\n", "Note that if the *joint distribution* of two random variables factorizes into the product of their marginals, so that $p(X,Y) = p(X)p(Y)$, then $X$ and $Y$ are said to be *statistically independent*. In such case, the product rule becomes $p(Y|X) = p(Y)$.\n", "\n", "### Bayes Theorem\n", "\n", "From the *product rule*, we can immediately obtain the [*Bayes' theorem*](https://www.youtube.com/watch?v=HZGCoVF3YvM), using the symmetry property $p(X, Y) = p(Y, X)$ as follows\n", "\n", "$$\n", "\\begin{aligned}\n", "& p(X,Y) = p(Y|X)p(X) \\Leftrightarrow \\\\\n", "& p(Y|X) = \\frac{p(X, Y)}{p(X)} \\Leftrightarrow \\\\\n", "& p(Y|X) = \\frac{p(Y, X)}{p(X)} \\Leftrightarrow \\\\\n", "& p(Y|X) = \\frac{p(X|Y)p(Y)}{p(X)}\n", "\\end{aligned}\n", "$$\n", "\n", "Using the *sum* and *product rules*, the marginal probability $p(X)$ in the denominator can be expressed in terms of the quantities in the numerator\n", "\n", "$$\n", "p(Y|X) = \\frac{p(X|Y)p(Y)}{\\sum_Y p(X,Y)} = \\frac{p(X|Y)p(Y)}{\\sum_Y p(X|Y)p(Y)}\n", "$$\n", "\n", "An interpretation of the Bayes theorem is that if we had been asked which is the most probable value of $Y$, *before* we observe any value for $X$, then the most complete information we have available is provided by the\n", "*prior probability* $p(Y)$. *After* we observe the value of $X$, we can use the Bayes theorem to compute the the *posterior* probability $p(Y|X)$, which represents our updated knowledge after incorporating the evidence provided by the observed data.\n", "\n", "Let $\\mathbf{w}$ be parameters and $\\mathcal{D}$ be data. Bayes theorem is given by\n", "\n", "$$\n", "p(\\mathbf{w}|\\mathcal{D}) =\n", "\\frac{p(\\mathcal{D}|\\mathbf{w})p(\\mathbf{w})}{p(\\mathcal{D})}\n", "\\Leftrightarrow\n", "\\mathrm{posterior} =\n", "\\frac{\\mathrm{likelihood}\\, \\times\\, \\mathrm{prior}}{\\mathrm{evidence}}\n", "$$\n", "\n", "The frequentist paradigm generally quantifies the properties of data driven quantities in the light of the fixed model parameters, while the Bayesian paradigm generally quantifies the properties of unknown model parameters in light of observed data.\n", "\n", "\n", "\n", "\n", "## 1.2.1 Probability densities\n", "\n", "\n", "\n", "If the probability of a real-valued variable $x$ falling in the interval $(u, u + \\delta)$ is given by $p_x(u)\\delta$, then $p_x(x)$ is called the probability density function over $x$. \n", "\n", "$$\n", "\\begin{aligned}\n", "p(u \\leq x \\leq u + \\delta) = \\int_{u}^{u + \\delta} p(x)dx = \n", "P_x(u + \\delta) - P_x(u) = \n", "\\frac{P_x(u + \\delta) - P_x(u)}{\\delta} \\delta\n", "\\end{aligned}\n", "$$\n", "\n", "Then we have that\n", "\n", "$$\n", "\\lim_{\\delta\\to 0} \\frac{P_x(u + \\delta) - P_x(u)}{\\delta} \\delta = \\frac{dP_x(u)}{dx}\\delta = p_x(x)\\delta\n", "$$\n", "\n", "Therefore, the probability that $x$ will lie in an interval $(a, b)$ is then given by\n", "\n", "$$\n", "p(a \\leq x \\leq b) = \\int_a^b p_x(x)dx\n", "$$\n", "\n", "and it must satisfy the following two conditions\n", "\n", "$$\n", "\\begin{aligned}\n", "& p_x(x) \\geq 0 \\\\\n", "\\int_{-\\infty}^\\infty & p_x(x)dx = 1\n", "\\end{aligned}\n", "$$\n", "\n", "The probability that $x$ lies in the interval $(−\\infty, z)$ is given by the *cumulative distribution function* (CDF) given by\n", "\n", "$$\n", "P_x(z) = \\int_{-\\infty}^z p_x(x)dx\n", "$$\n", "\n", "where\n", "\n", "$$\n", "p(x) = \\frac{dP_x(x)}{dx}\n", "$$\n", "\n", "If $x$ is a discrete variable, then $p_x(x)$ is sometimes called a *probability mass function* (PMF) because it can be regarded as a set of *probability masses* concentrated at the allowed values of $x$.\n", "\n", "\n", "## 1.2.2 Expectations and covariances\n", "\n", "The average value of some function $f(x)$ under a probability distribution $p_x(x)$ is called the *expectation* of $f(x)$ and is denoted by $\\mathbb{E}[f]$. The average is weighted by the relative probabilities of the different values of $x$ as follows\n", "\n", "$$\n", "\\mathbb{E}[f] = \\sum_x p_x(x)f(x) = \\int p_x(x)f(x)dx\n", "$$\n", "\n", "For a finite number of $N$ points drawn from the probability distribution, then the expectation can be approximated as a finite sum over these points\n", "\n", "$$\n", "\\mathbb{E}[f] \\approx \\frac{1}{N} \\sum_{n=1}^N f(x_n)\n", "$$\n", "\n", "Note that the expectations of functions of several variables, may use a subscript to indicate which variable is being averaged, i.e., $\\mathbb{E}_x[f(x,y)]$.\n", "\n", "Whereas the expectation provides a measure of centrality, the variance of a random variable quantifies the spread of that random variable's distribution. Thus, the variance provides a measure of how much variability there is in $f(x)$ around its mean value $\\mathbb{E}[f(x)]$ and is defined as follows\n", "\n", "$$\n", "\\begin{aligned}\n", "\\mathrm{var}[f] &= \\mathbb{E}[(f(x) − \\mathbb{E}[f(x)])^2] \\\\\n", "&= \\mathbb{E}[f(x)^2 − 2f(x)\\mathbb{E}[f(x)] + \\mathbb{E}[f(x)]^2] \\\\\n", "&= \\mathbb{E}[f(x)^2] − \\mathbb{E}[2f(x)\\mathbb{E}[f(x)]] + \\mathbb{E}[\\mathbb{E}[f(x)]^2] \\\\\n", "&= \\mathbb{E}[f(x)^2] − 2\\mathbb{E}[f(x)]\\mathbb{E}[f(x)] + \\mathbb{E}[f(x)]^2 \\\\\n", "&= \\mathbb{E}[f(x)^2] − \\mathbb{E}[f(x)]^2\n", "\\end{aligned}\n", "$$\n", "\n", "The covariance expresses the extent to which $x$ and $y$ vary together and is given by\n", "\n", "$$\n", "\\mathrm{cov}[x, y] = \\mathbb{E}_{x,y}[(x − \\mathbb{E}[x])(y − \\mathbb{E}[y])] =\n", "\\mathbb{E}_{x,y}[xy] − \\mathbb{E}[x]\\mathbb{E}[y]\n", "$$\n", "\n", "A covariance matrix $\\mathbf{\\Sigma}$ has entries $\\sigma_{ij}$ corresponding to the covariance of variables $i$ and $j$. If two variables are independent, then their covariance vanishes, e.g., $\\mathbf{\\Sigma} = \\mathbf{I}$.\n", "\n", "\n", "## 1.2.4 The Gaussian distribution\n", "\n", "The *Normal* or *Gaussian* distribution is one of the most important probability distributions for continuous variables. For the case of a single real-valued variable $x$, the distribution is defined as follows\n", "\n", "$$\n", "\\mathcal{N}(x|\\mu,\\sigma^2) =\n", "\\frac{1}{(2\\pi\\sigma^2)^{1/2}}\\exp\\Big\\{-\\frac{1}{2\\sigma^2}(x-\\mu)^2\\Big\\}\n", "$$\n", "\n", "and is governed by the parameters $\\mu$, called the *mean*, and $\\sigma^2$, called the *variance*. The square root of the variance $\\sigma$ is called *standard deviation*. An alternative way to represent a Gaussian distribution is by considering a *precision* term $\\beta = \\frac{1}{\\sigma^2}$, denoted by\n", "\n", "$$\n", "\\mathcal{N}(x|\\mu,\\beta^{-1}) =\n", "\\frac{\\beta^{1/2}}{\\sqrt{2\\pi\\sigma^2}}\\exp\\Big\\{-\\frac{\\beta}{2}(x - \\mu)^2 \\Big\\}\n", "$$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 437, "width": 586 } }, "output_type": "display_data" } ], "source": [ "x_space = np.linspace(-5, 5, 1000)\n", "\n", "for mean, var, c in [(0, 1, \"g\"), (1, 2, \"r\"), (-1, 3, \"b\")]:\n", " N_distribution = Gaussian(mean, var)\n", " y = [N_distribution.pdf(x) for x in x_space]\n", "\n", " plt.plot(x_space, y, color=c, label=\"$\\\\mathcal{N}$\" + f\"$(x|{mean},{var})$\")\n", "\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.ylabel(\"$\\\\mathcal{N}(x|\\\\mu,\\\\sigma^2)$\", fontsize=14)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Note that the probability density function is *not an actual probability*, therefore it can take values $\\mathcal{N}(x|\\mu,\\sigma^2) > 1$. We can see that the Gaussian distribution satisfies\n", "\n", "$$\n", "\\begin{aligned}\n", "& \\mathcal{N}(x|\\mu,\\sigma^2) > 0 \\\\\n", "\\int & \\mathcal{N}(x|\\mu,\\sigma^2)dx = 1\n", "\\end{aligned}\n", "$$\n", "\n", "The Gaussian distribution can be also defined over a $D$-dimensional vector $\\mathbf{x}$ of continuous variables as follows:\n", "\n", "$$\n", "\\mathcal{N}(\\mathbf{x}|\\mathbf{\\mu},\\mathbf{\\Sigma}) =\n", "\\frac{1}{(2\\pi)^{D/2}|\\mathbf{\\Sigma}|^{1/2}}\n", "\\exp\\Big\\{-\\frac{1}{2}(\\mathbf{x}-\\mathbf{\\mu})^\\text{T}\\mathbf{\\Sigma}^{-1}(\\mathbf{x}-\\mathbf{\\mu})\\Big\\}\n", "$$\n", "\n", "where the $D$-dimentional vector $\\mathbf{\\mu}$ holds the mean of each dimension, while the $D\\times D$ matrix $\\mathbf{\\Sigma}$ is the covariance." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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mTp0a9t9//yRYWXHFFcNZZ50VHnrooXDPPfeEI444Itnn6aefDsOHDw9vvvlmp86xaNGi6nbPnj3DZz/72bDZZpt1yfhPO+20pOpmzTXXDM0kXAEAUueCDQCy4bjjjgvz588PPXr0CHfffXcYM2ZM2HbbbcOuu+4aLrvssnDeeedVA5axY8d26hybbLJJ+PGPfxwmT56chDiPPfZY+NKXvlT32ONx4nHjFKMYCjWTcAUASJVgpXi67fHaUjcAsu+RRx4J999/f7J92GGHJaHKkmIflkGDBiXb48aNC++9917N5xkyZEg49thjwzbbbBOWX375Lhh5CB988EFSWRPvYyDU2SlLnaXnCgCQCqFKPnRVMNLR4yy6a7UuOR+N/dkden2ftIcBNMCtt95a3T700ENb3ad79+7h4IMPDqecckp44403wsSJE8OwYcNC2i666KJkStPAgQPDSSedlFTFNJNwBQBoOsFK9mSluqS1cQhcAJrjgQceSO7j6kBbbbVVm/vtvPPO1e0HH3ww9XBl5syZ4fTTT0+2f/rTnybTgppNuAIANJVgJV1ZCVE6O2ZBC0DjTJ8+PbmPU2piz5W2xOWZl/yYNMXVgeJqRv/5n/+Z9IZJg3AFAGgawUo68hiodPRzEbYAZTVnzpx29+nfv3+Hj/fOO++EV199tUMft8oqqyTVLXHZ41mzZoU0/eIXvwh33nlnWHnllcOFF16Y2jiEKwBAwwlVmqtIYUp7VLWkQ98VSF9sClvLksftabmsclyCuT2VcOWtt94KafnnP/8Zjj/++GT77LPPbvryyy0JVwCAhhKsNEeZApX2vgZCFqDLfXnTEFZeIe1RhPDG/BDOnNSQQ8fKlYpevXq1u3+lr0lctjktJ5xwQnj55ZfDv//7v4cjjzwypEm4AgA0jGClcYQpbROyAGVZNrlfv35ddryWSyIvWLCg3f3ffffd5H6FFdIJnSZNmhSuvvrqsNxyy4Wf/exnySpGaRKuAAANIVhpDKFKxwlZgCKLwUotPVXas9JKK1W3OzLVJ04J6ugUoq4Wg52jjjoq2f7Wt74Vtthii5A24QoA0KWEKl1PoFIfIUtj6LsCxRIrV1ZbbbXw2muvhdmzZy9z39dff70arqy99tqh2X7961+Hp59+OvTs2TNssskm4cYbb1xqn2nTplW3n3jiieo+cQrR+uuv3+VjEq4AAF1GsNJ1BCqN+ZoKWADaFoOK+++/P8yYMSO8//77bS7H/OSTT1a3Bw0aFJqtMiXpvffeC0cccUS7+//qV79KblGcStSIcCXdSUkAQGEIVrrm4r9yozF8fQHatsMOOyT3sSrlsccea3O/e++9t7q9/fbbN2VsWSdcAQDqJlipjwv+5vM1B1jaPvvsU92OFR6tWbhwYbj22muT7ZVXXjnssssuodlGjRqVLDO9rNvEiROr+59++unV5+PHNoJwBQCoi2Cl81zgp8/Xvz5+/qFYhgwZEnbcccdk+8orrwyTJ09eap+xY8eG6dOnJ9vHHXdc0vdkyVV8unXrltwaFWRkkZ4rAECnuKjqPBf02aLhLcBHxo0bl0z1mT9/fhg2bFgYM2ZMUp0SH8emsJdddlmy38CBA8Po0aM7fZ7x48cv9vhPf/pTdfvOO+8MM2fOrD4eMGBAdcpSVglXAICaCVZqJ1DJPg1vAULYcsstw0033RRGjhwZ5s6dm4QrS4rByoQJExZbvrlWhx56aJuvnXvuuYs9PuSQQzIfrpgWBADURLBSG1N/8sX3CiCEvfbaKzz++OPh+OOPT4KUPn36JP1Vtt566yT4mDp1alJNwkdUrgAAHSZY6TgX6fmlggUghHXXXTdceOGFya0WQ4cOTRrHtqcj+9Sjo+PoKipXAIAOEax0jEqVYvA97Dj/NgAIVwCADnDx1D6hSvH4fgLQUaYFAQBtEqq0zwV4sZkiBEBHqFwBAFolWFk2lSrl4fsMQHuEKwDAUgQrbROqlJPvOQDLIlwBABYjWGmdUAXffwDaIlwBAKoEK0sTqtCS9wIArRGuAAAJwcrSXEjTGu+Lpfn3Ayg7qwUBAC6MluDiGQCohXAlRVOmTAl33HFHeOCBB8K0adPCK6+8Enr27Bk+9alPhe233z4cdthhYYcddkh7mAAUmFBlcUIVOsoSzQC0JFxJyU477RTuv//+pZ5fsGBBeOaZZ5Lb+PHjw8EHHxwuv/zy0KtXr1TGCUBxCVYWJ1ihVgIWACqEKyl58cUXk/tYpbLvvvuGHXfcMayzzjrhgw8+CJMnTw5jx44NL7zwQrj22mvDe++9F37xi1+kPWQACkSw8hGhCgBQL+FKSjbeeOPwox/9KHz5y18Oyy233GKvbbPNNuGggw5KpgY9/fTT4YYbbghHH310Uu0CAPUSrHxIqEJXUL0CQGS1oJT89re/Dfvtt99SwUrF6quvnlSvVNxyyy1NHB0ARSVY+ZBgBQDoSsKVDNtll12q288++2yqYwEg/wQrH4YqghW6mvcUAMKVDHv33Xer221VuABAR5Q9WBGq0GjeX/6dAcpNz5UMu/fee6vbgwYN6tQxZs+evczX58yZ06njApAfZb/gcdELADSacCWjFi5cGM4555zq49ifpTPWXnvtLhwVAHlT5mBFqEKzaW4LUF6mBWXURRddFB555JFk+0tf+lLYaqut0h4SADkjWAEAaA6VKxmdDnTyyScn22uuuWb46U9/2uljzZo1q91pQUOGDOn08QHIprIGK0IV0qZ6BaCchCsZ89e//jWMGDEivP/++2H55ZcPN998cxKwdFb//v27dHwAZJ9gBdIlYAEoH+FKhjz33HNh2LBh4fXXX09WB7rxxhvDTjvtlPawAMgJoQoAQDr0XMmIF198Mey+++7Jfbdu3cJVV10V9t5777SHBUBOCFYgW7w3AcpF5UoGvPrqq+Fzn/tc+Nvf/pY8vuSSS8LBBx+c9rAAyIkyBisuXAGALFG5krJ//etfYY899gjTpk1LHsfll7/5zW+mPSwAckKwAgCQPuFKiubNmxeGDx8e/vjHPyaPTz311HDSSSelPSwAcqJswUoMVQQr5In3K0B5CFdSsmDBgmRVoAcffDB5fNxxx4Uzzzwz7WEBkBNlDFYAALJKz5WUHHjggeHuu+9Otnfddddw2GGHhSeeeKLN/Xv16hUGDhzYxBECkFWCFcgPyzIDlINwJSW//vWvq9v/7//9v7D55psvc/911103zJw5swkjAyDLyhSsCFUAgLwwLQgAckKwAvlUpvdzmf6dAmhJ5UpKFi1alPYQAMiRMl2wlOlCtFmGbji7w/tOeqZ/Q8cCAEUkXAGAjCtLsCJUaWxo0pXHFMAAwOKEKwCQYYIVGh2m1DsOQUvHaGwLUGzCFQDIKMEKWQlTahmjsAWAMhKuAEAGlSFYEarkL0jpCFUtAJSRcAUAMkawUh5FCVTa+/yELB8yNQiguIQrAJAhgpXiK3qg0hohCwBF1z3tAQAAHxKsFD9gKGOw0lLZP38AikvlCgBkQNGDlbKGKsKEpZW9isXUIIBiEq4AQMoEK8UiUOmYsocsABSLaUEAkCLBSnGY9tM5vmYAFIHKFQBISZGDlbKFKtRHFQsAeSdcAYAUCFbyTaDSuK9rGQIWfVcAike4AgBNJljJL6FK46liASCP9FwBgCYSrOSTfirN5+sNQJ6oXAGAJilqsFL0UIX0lGWaEAD5p3IFAJpAsJIvKlWyo6jfh6L+7ACUlXAFABpMsJIfQpVs8j0BIOtMCwIAQtmDFRfvAEA9VK4AQAMVsWqlSMGKSpX88H3Kh6HX90l7CACpEK4AQIMIVrLNxXr++J4BkFWmBQFAAxQtWBGqkBVWEAIgi4QrANDFBCvZJFQhiz9bi+5aLe1hANAFTAsCgC4kWMkefVWKx/cTgKwRrgBAFxGsZI+L8OLyvQUgS4QrANAFBCvZolqlHHyPAcgKPVcAoE6ClexwsQ0ApEHlCgDUQbCSHYKVcvJ9ByALhCsA0ElFClZiqJLXYMUUIPL8/c/rzx0AixOuAEAnFC1Yyas8X1QDAMUhXAGAGglW0qdahSV5PwCQJuEKAJRUnoMVAIAsEa4AQAmrVvIYrKhWoT3eHwCkRbgCAB0kWEmPi2YAIMuEKwDQAYKVdKhWoVbeL+kZen2ftIcAkBrhCgC0Q7CSDhfJAEBeCFcAYBkEK82nWoV6ef8A0GzCFQBog2Cl+VwUAwB5JFwBgFYIVppPsAIA5JVwBQCWIFhpLtOAaIQ8vafy8rMKQNuEKwDQgmClufJ0AQwA0JYebb4CAOSSYCWfhoYZdX38pDCgy8ZSFPE9NumZ/mkPAyCXnn/++fDjH/84TJgwIcyaNSv07t07bLDBBmG//fYL3/zmN0OfPp1ffn3hwoXhySefDI888khye/TRR8Pjjz8eFixYkLw+ceLEMHTo0HaPM3PmzHD77beHSZMmJR//wgsvJMdeffXVw9Zbbx0OOOCA8JWvfCX06NH46EO4AgAFqlrJQ7AiVKk/SOnoMQUuAHRGDCxGjhwZ5s6dW31u3rx5YcqUKcntiiuuSEKXAQM69//MddddF0aNGlXXGE877bRw1llnhUWLFi31WgxZ4u22224LF154YbjlllvCOuusExpJuAIABQhW8hCqlDVYaUSQ0tlzC1sAaM/UqVPD/vvvH+bPnx9WXHHFcMopp4RddtkleXzjjTeGyy+/PDz99NNh+PDhSdCy0kor1XyOloFIz549w2abbRbee++98Je//KXDx5gzZ05ynL59+4YRI0aE3XbbLWy44YZh+eWXD9OnT0+qbmJFTLztvvvu4Y9//GPy+TSKcAWA0hOsNEdZgpU0w5RaxiZooSsNvb7z0wOAbDnuuOOSICVOpbn77rvDtttuW31t1113TQKME088MQlYxo4dG84444yaz7HJJpsk4cfgwYPDFltskQQi8Ti1hCurrbZaOPfcc8PXv/71pQKerbbaKhx44IHhq1/9avjlL38ZnnnmmaSC5fvf/35oFA1tASg1wUrjlWE1oBhaVG55kbfxdlbR33sAXSn2P7n//vuT7cMOO2yxYKVi9OjRYdCgQcn2uHHjkoqTWg0ZMiQce+yxYZtttkmClc6IwUoMedqqnFluueXC//zP/4RevXolj+PUoEYSrgBQWoKVxivyhW0eA5XWFOFzAKBr3HrrrdXtQw89tNV9unfvHg4++OBk+4033kiaz2ZVrG7ZfPPNk+1nn322oecSrgBQSoKVxitisFKUQKU1RfycAKjNAw88kNzHPiZxak1bdt555+r2gw8+GLLs3XffrVayNJKeKwCQM4KV5ipT6FD5XIvWj8WSzEARxYau7enfv7Z/+2Ij2CiuArSs5Ys33njjpT4mi15++eXq+CpTmRpFuAJA6eS5aiXrwYpQpRiKGrIAFEnsW9Ke1pYpbss777wTXn311Q6FMqusskpS3fL222+HWbNmhaw6//zzw/vvv59s77fffg09l3AFgFIRrDROEYKVMgcqbX09BCwAIbyw86Cw8JMfS3sYYc4/5oZw5qSGHPvNN9+sbndkyeJKuPLWW2+FLPrDH/4QLr744mpYFFcVaiThCgClIVhpnLwHK0KVtqlioT2WYYb0Vvbp169flx0vVq5UVFbYWZbevXsn93HZ5qx56aWXwle+8pWkaqVbt27hmmuuCX36NPbfKuEKAKUgWGmcPAcrQpXyVLHouwIUTQxWau2psiwtl0ResGBBhxvFrrDCCiFLYgXO8OHDw+zZH/5+cs4554Rdd9214ecVrgBQeIKVxhCqlE/eAxYA2rbSSitVtzsy1SdOCeroFKJmidU3e++9d3jssceSxyeccEI48cQTm3JuSzEDUGiClcbIa7BS1GWUm8nXD6CYYuXKaqutlmxXqj7a8vrrr1fDlbXXXjtkQZwCFJvWTpw4MXl8+OGHJw1tm0W4AkBh5TlYybI8BitCla7lawlQTJtssklyP2PGjOoqO6158sknq9uNXuK4IxYuXBgOOuigcPvttyeP999//3DppZeGZhKuAEAGZbVqJW/BilClcXxdAYpnhx12SO5jVUplak1r7r333ur29ttvH9J21FFHhRtvvDHZ3muvvcL1118fundvbtwhXAGgkPJctSJYqZ9Qhby/hwHSsM8++1S3r7766jarRK699tpke+WVVw677LJLSNN3vvOdcMUVVyTbu+22W7j55ptDjx7Nby8rXAGgcAQr5b4oFao0j681lmGGYhkyZEjYcccdk+0rr7wyTJ48eal9xo4dG6ZPn55sH3fccaFnz56LvT5p0qRk+eN4GzVqVEPHe8YZZ4SLLroo2d5uu+3CbbfdVl0iutmsFgRAoQhWupZQhfZYQQigWMaNG5dM9Zk/f34YNmxYGDNmTFKdEh/HqTeXXXZZst/AgQPD6NGjO32e8ePHL/b4T3/6U3X7zjvvDDNnzqw+HjBgQHXKUsUll1wSfvCDHyTba621VjjvvPPCc889t8xzbrTRRkuFQV1FuAJAYQhWyhmsCFXSJ2ABKI4tt9wy3HTTTWHkyJFh7ty5SbiypBisTJgwYbHlm2t16KGHtvnaueeeu9jjQw45ZKlw5Ve/+lV1+4UXXljq9dbE8GW99dYLjSBcAYCUCVY6R6gCAI0Rm8I+/vjjSRVLDFHi0sy9evVKKkj23XffcMwxx4Q+fUwLbEm4AkAh5LVqRbDSOYKV7FG9AlAs6667brjwwguTWy2GDh0aFi1a1O5+HdlnWWJvlyzR0BaA3BOslCdYsQpQtvneAFBWwhUAck2wUq5ghezL+vcp6+/zPLFSEMBHTAsCILcEK+W44Mz6xToAgMoVAHJJsNJ1BCt0Nd83AMpG5QoANIlgpeNcnFMmi+5aLe0hAFAn4QoAuZPHqpWsBStZDVUiwUoxWD0IgDIRrgCQK4KV4gYrQhUAIK/0XAEgN/IYrGSNYIVm8n0tLisFASxO5QoAuZDXYCVLVStZDFZcfAMARaByBQAaRLCybIKVcvB9BqAMhCsAZF4eq1YEK8vmghsAKBLTggDINMFKsYIVoQoAUEQqVwDILMFKfQQrZIXvPQBFJ1wBIJMEK/URrEB+fj7yxkpBAEszLQgAuoBgpXVCFQCgDFSuAJA5eataEay0TrBCS94PrVt012ppDwGALiBcASBTBCudJ1gBAEiHaUEAZEbegpUsyUqwUtZQZehT0zq036SNNmn4WACA5hOuAEDOq1YEK9kLUTr78cIXsk4zW4DWCVcAyIS8Va0IVoofrNQbpNRzzqKGLPF9MikMSHsYANDlhCsApE6w0jmClWIEKmUMWQCgaIQrAKRKsNI5gpXiBSqtEbIAQD4IVwCggwQrxQlVshyotDdeQQsAZI9wBYDU5KlqRbCS/2Alb4FKW1SzFMeiu1YLeaKZLUDbhCsApCJPwUpWCFbKHaoUJWTR1BaAIuqe9gAAKJ+8BStZqFoRrHQufChqsNJSGT5HAMg64QoALINgJX/BSllClZbK9vkCQNYIVwBoqjxVrQhW8hWslDFUaanMnzuNp98KwLLpuQJA0whW8hWs5ClU4aOvRd56sKRh0jP90x4CAAUjXAGgKQQrtRGstE+okl+a2gJQNKYFAQC5ClbKPv2nPb42+ZC3ZZgBWDbhCgANp2olP1UrWQ5WhCod5+sEAM0lXAGgoQQrtRGstE5YAOnRzBagfcIVABpGsFIbwcrSVKt0nq8bADSPcAWAhhCs1EawsjThQP18DQGgOawWBECpCVayF6wIBACAvFG5AkCpq1bSJlj5iClAjeFrmj15WilIvxWAjhGuAFDaYCXtqhXBykcEAI3l6wsAjWVaEABdRrDScYKVD7noBwCKQOVKil5++eXw29/+Nnz/+98PX/jCF8Lqq68eunXrltxGjRqV9vAACkuwkg2Cleby9QaAxlG5kqJPfOITaQ8BoHRVK2UNVoQqVL72kzbaJO1hkBP6rQB0nMqVjFhnnXXCsGHD0h4GQKGDlbISrJBFWXpfAkC9VK6kKE4HGjx4cHKLVSwzZ84M66+/ftrDAiisMlatZOkCVrBCFkx6pn+q58/TSkEAdJxwJUU/+MEP0h4CQGmqVgQr6RGqZIupQXSEKUEAtTEtCIBOE6x0jGAFAKDYhCsAFDpYSZtgBQCg+IQrABRamlUrZQ1WYqgiWMk235906LcCUFx6rhTc7NnL/sV+zpw5TRsLUBx5qVopW7CSBS7aIf/0WwGonXCl4NZee+20hwAUjGAlu9KuWhGsUItJYUDaQwCALiNcAaBw0g5WyjYdSKhCXqS9DDMAxSVcKbhZs2a1Oy1oyJAhTRsPkG95qVpJk2CFvLAkM60xJQigc4QrBde/v7/QAOUKVsrWZ0WwAvmgmS1AsVktCIB2CVbaJ1gBACgv4QoAhSBYaeK5BSsAAIsRrgBQiKqVMhGs0FV8P2lJvxWAztNzBYDcBytlqlpJK1hxEQ4A0DaVKwDkmmClCecVrFAAaS7DrJktQPGpXEnRAw88EGbM+OgX5VdffbW6HZ8fP378YvuPGjWqqeMDyi0PVSuClSacV7ACpWBKEEB9hCspuuKKK8I111zT6msPPvhgcmtJuAI0Sx6ClTQJVgAAaEm4AkAupVW1IljJp3XuerzuY/x9j827ZCwAQPEIV1IUp/0sOfUHIG15qFpJczpQMwlW0g9UWjuekIVa6LcCUA7CFQCqBCvZqVoRrGQjUGnvHIIWikC/FYD6CVcAIIPTgdKQ12ClGYFKe+fOc8gSv++TNtokFFmaKwUBUA7CFQASqlbK3Wclb8FKmoFKa1SzAEC5CVcAEKwsg2AlW7IWqhS1moXy9FsxJQiga3TvouMAQMNoYNvAc+YkWImBRR6ClZbyNl4AoPNUrgCUXB6qVtJS5Aa2eQpVKJ5JYUDaQwCALqVyBaDE8hCslGE6kGClGJUqrSnC55B3mtkC0AzCFQAyS7BSvmClKKFKS0X7fOgY/VYAysW0IICSykPVStEJVj4igAAA8kzlCkAJ5SFYKUPVSjNlNVgpYqVKa8rwOQJQLM8//3wYPXp02HjjjUPfvn3DqquuGgYPHhzOP//8MG9efb9LLly4MEybNi2MHz8+fOMb30iO27t379CtW7fkNmnSpJqOF8dz3nnnJceJ44zjjeOO44+fRzOoXAEoGcFK+aYDZTlYAdJhShCwLLfffnsYOXJkmDt37mIBxpQpU5LbFVdcESZMmBAGDOhcg/LrrrsujBo1qkvGOmPGjLDnnnuGZ555ZrHnn3rqqeQWx/rzn/88fPGLXwyNpHIFgEwRrBQ/WClLtcqSyvg5l7WZbR76rQC0ZerUqWH//fdPgpUVV1wxnHXWWeGhhx4K99xzTzjiiCOSfZ5++ukwfPjw8Oabb3bqHIsWLapu9+zZM3z2s58Nm222Wc3HieeP46gEK3F8cZxxvHHccfzx84ifz5/+9KfQSMIVgBLJQ9VKGgQrzVP2gKHsn39kGWaAbDvuuOPC/PnzQ48ePcLdd98dxowZE7bddtuw6667hssuuyyZflMJWMaOHdupc2yyySbhxz/+cZg8eXISfjz22GPhS1/6Us3HiVOU4jiiOK44vjjOON447rvuuiv5PGLVzbe//e3QSMIVgJLIQ7CSVtVKswhWBAuQBaYEAW155JFHwv33359sH3bYYUlIsaTYx2TQoEHJ9rhx48J7771X83mGDBkSjj322LDNNtuE5ZdfvlNjjeeNAU0UxxPHtaTtttsu+Tyie++9Nzz66KOhUYQrAGRC0acDNXtloCwp6zSgtvhaFJspQUCe3XrrrdXtQw89tNV9unfvHg4++OBk+4033ggTJ04MaYjn/de//pVsH3LIIcm4WtOyt8tvfvObho1HuAJQAnmoWkmDlYEaT5BA2fqtAOTZAw88kNzH1Xa22mqrNvfbeeedq9sPPvhgSHOsS45nSVtvvXXo06dPw8dqtSCAgstDsJJG1Yo+K40lVGn/6/P3PTZPexiUkClBUBxz5sxpd5/+/WsLmqdPn57cx1WAYq+StsRljpf8mGaLSzm3Np4lxc8jfj6PP/54Q8cqXAEgVfqsdOG5BCsAUBqxb0ktq/K055133gmvvvpqh0KZVVZZJaluefvtt8OsWbNCGmbP/vAPZXEcK6+88jL3XXvttZNw5ZVXXgnvvvtu6N27d5ePR7gCUGBZr1rRZ6VYwYpQpTZlrF4p+kpB+q1AcU3eYGBYtf+qaQ8j/LPvPxt27JbLKscljNtTCVfeeuutkIbKeDs61oo4XuEKAIUJVtIiWGkMwQpZot9K60wJguKt7NOvX78uO16sXKno1atXu/tXAoq4bHMaKuOtZayNHK9wBYBUFH06ULMIVgCgnGKwUmtPlWVpuSTyggUL2t0/Tq+JVlhhhZCGynhrGWsjx2u1IIACynrViulAXXQewQpdYNJGm6Q9hEIwJQjIu5VWWqm63ZGpPnFKUEen5TRyvLWMtZHjFa4AUAqCla4nWKmfryHNYkoQ0JFKkNVWW22xZrFtef3116uBRWwWm4ZK1U4cxxtvvLHMfStNd9dYY42G9FuJhCsABaNqZWmCla4PBIQCZLWZrX4rAJ23ySYfVjPOmDEjvP/++23u9+STT1a3Bw0aFNIc65LjWVL8PJ599tmGj1W4AlAggpX0lClYARZnShBQFDvssEO1GuSxxx5rc7977723ur399tuHNMe65HiWNGXKlGqVTSPHKlwBoNCaVbXSDIIVoDNMCQI6ap999qluX3311a3us3DhwnDttdcm2yuvvHLYZZddQhqGDh0aPv7xjyfb11xzTVi0aFGr+40fP766PWLEiIaNR7gCUBCqVoo/HShNgpXG8bUFICuGDBkSdtxxx2T7yiuvDJMnT15qn7Fjx4bp06cn28cdd1zo2bPnYq9PmjQpdOvWLbmNGjWqYWONSzB/61vfSrbjeC644IKl9onjj59HtPPOO4fBgwc3bDyWYgYoAMFKesowHcjFP3mh3wpA/caNG5dMn5k/f34YNmxYGDNmTFKdEh/feOON4bLLLkv2GzhwYBg9enSnzzO+RUVJ9Kc//am6feedd4aZM2dWHw8YMGCxaUAV3/3ud8NNN90Unn766XDiiScmvWIOOOCAZLnliRMnhh/96EdJz5X4+OKLLw6NJFwBoJCaUbUiWIFsNbNNQ9b7rZgSBNRqyy23TAKLkSNHhrlz5ybhypJisDJhwoTFlm+u1aGHHtrma+eee+5ijw855JBWw5V4/jiOPffcMzzzzDNJ8FMJfyo+9rGPhZ///Odhiy22CI0kXAHIOVUrS9NnpX5CFQAor7322is8/vjjSRVLDC/i0sxxGk6sINl3333DMcccE/r0yUZ4O2DAgDB16tTwk5/8JNx8881J9cqCBQuSJaJj6BKnLq277roNH4dwBSDHBCvF7rMiWAHqoWoFqEcMJC688MLkVmuj2UVtNJdtqSP7dFTfvn2TaUHxlhYNbQGgRoIVimLSRpuEokij30rWpwQB0DzCFYCcUrVS7D4raRCsAAB0jnAFgC5X1GClWdKoWhGs0ChFbmabZaYEATSXcAUgh7JetVJURZ0OJFgh70wJAiBtwhWAnMl6sFLUqhXBCpAXqlYAmk+4AkCXEazUcQ7BCuSGqhUAliRcAciRrFet0DmCFYq6UlAz+q2kMSUIAJYkXAHIiawHK6pW8kOwAsVlShBAOoQrANRNsJKfqhXBCgBA1xOuAORA1qtWmk2w0jmCFaiffisAtEa4AkDuqlaKQLBC0em30nymBAGkR7gCkHGqVopXtSJYAQAoFuEKQIZlPVhpdtVKEYKVZhOskNZKQUVkShAAbRGuANAppgNlv2pFsEJaTAlqPlOCANIlXAHIqKxXrTRbEapWmj0dCOg6qlYAWBbhCgA1Mx2oE8fXZwUAoLCEKwAZlOWqlSJOB9JnhTIpQr8VU4IWZ0oQQPqEKwBkWjOqVhpNnxXKpBn9VprNlCAA2iNcAcgYVSvNVaTpQIIVKB9VKwDZIFwByJAsBytFrFoRrED+mBIEQBYJVwAobRNbyIK/77F5YfqtmBIEQFkJVwAyIstVK6YDdeL4qlaABjMlCCA7eqQ9AACyHaykwXSgEgUr102t7+MP2rKrRkIOmBIEQFapXAFgmUwHyq5cBysxVKk3WKkch0wwJQiAMhOuAKQsy1UrpgNlt2olt8FKV4UqSx6T1Put0FymBAFki3AFgMwwHagEwQp0kilBAGSZcAUgRapWijMdqJl9VnKnEdUqrZ0DSjIlSNUKQPZoaAtAKTS6aqVZclW1IvDIzDLMlmAGgMZSuQKQElUrHzEdqGDBSjMqVdo6L4XU7ClBqlYAqJVwBSAFgpXiEKxkIFRZcgw0laoVABCuAJCyvFetNENughVoAI1sAcgD4QpAk6la+YgmtgWRtWAla+MpeL+VojElCIDOEK4AUFiNrFoxHShfQQaNYUoQAHxIuALQRKpWPmI6UM6DlSz0V1mWLI+NDtPI9iOqVgCyTbgCQNOZDlSAYCUP8jLOBjIlCACaQ7gC0CSqVpqnCNOBMktgwf/PlKDmUbUCkH3CFYAmEKx8xHSgHFetCFZy18w2z0wJAiBPhCsA0EGlng4kWMkdU4KKQdUKQD4IVwAaTNVKMapWBCvQvClBqlYAyJseaQ8AgHLIc7BSWkIVAIAOUbkC0ECqVoqhlFUrgpVc91sxJagYVSumBAHkh3AFoIRMB6rh2IIVKPSUIADoCsIVgBJWrUCbBCuQCapWAPJFuAJQsmBF1UoNxy5b1YpgpeHyPiWoaFUrWZ4SBEC+CFcAyC3BCgAAWSBcAehiqlaaV7WSZ5kLVlStUDJZrloxJQggf4QrADSE6UA5IlgpDFOCACAdwhWALqRqhdxVrQhWCtVvhfxTtQKQT8IVgBIo2nSgPFetCFZgaRrZApB3whWAElStFEmeg5VMEawUTp6nBAFA3glXAAquaFUreZaZqhXBStOZEpQdWa5aMSUIIL+EKwBdQNXKh0wHgnTkuWpFI1sAikC4AlBgmthmh6oVSJ+qFQAaRbgCUCdVKx9StdI2wUpKDtoyZEGepwSpWgGAjhGuABQ0WFG10jGlmQ5UtmClRBo5JYjmULUCkH/CFQBKXbXSaJmoWhGskEGWXwagSIQrAJ2kaqU58jwdKBMEK4WeEpTnRrZ8SNUKQDEIVwCoi6WXM161UlYZ6bdCNqhaAaDRhCsAnaBqpTnyXLWSiWBF1UqqNLJdxvE1sk2oWgEoDuEKAKWrWjEdiCLQyLZjVK0A0AzCFYAaqVppDk1soZhUrQBQRMIVgIJodrCiaiXDVK2kTiNb2mNKEECx9AgZ9Morr4S77747vPDCC+FjH/tY2H777cNmm23W7sctWLAgHH300aFbt27hyiuvbMpYgXLJctVKM1l6OcNVK4IVzWwzzPLLABRV5sKVH/zgB+Gcc85JgpKWdtppp3DJJZeEz3zmM21+7HvvvRfGjx8vXAFKp0jTgRqpFE1soQ6qVppD1QpA8WRqWtDJJ58cfvjDH4Z33303LFq0aLHbfffdF4YMGRKuuOKKtIcJlJSqlQ+pWskwVSuZkOcpQY2kagWAIstMuPLnP/85nH/++cl2v379wgUXXBDuvPPOcM0114Thw4cnAcs777wTjjrqqPBf//VfaQ8XIDNUrXRM4atWBCsfMiWo01StNIeqFYBiysy0oEsvvTQJUNZZZ53w8MMPh09+8pPV1w466KDwf//3f+Hggw8OL730UjjjjDPC/Pnzw49+9KNUxwyUh6qVD6lagWVTtdI6VSsAFF1mKlfitJ/YKyVOC2oZrFR87nOfC48++mjYcsstkxDm3HPPDSeccEIqYwXIiiJVrTQyWFG1UhKqVjpN1UpzqFoBKK7MhCuzZs1K7nfdddc29+nfv3+49957w84775wELBdddFH41re+1cRRAmWkaiXfSy83WurBCpmhaiUbVK0AUOpwJfZTifr27bvM/VZcccWkF8vnP//5JGD5yU9+kiy/DFA2qlayUbWSOlUrZLxqpdlTgrJK1QpAsWUmXFlllVWS+xdffLHdfXv37h1uu+228B//8R9JwHL55ZeHww47LNkG6EqqVvJdtWI6UImkPCVI1Uo2qFoBIJQ9XNl4442T+4ceeqhD+/fs2TP86le/Cl/5yleSUGX8+PHhkEMOCXn1/PPPh9GjRydfh1i9s+qqq4bBgwcnKyjNm+fiDlicqhUgD1StfEjVCpBHzbpG/d3vfhdGjBiRtAGJhRTxPj6Oz3fU5MmTw9e+9rWw0UYbJbNd4nHiKsR77LFHUoyxYMGCUJpwZdttt01CkptvvrnDH7PccsuFG2+8MXz1q19NPvbWW28NeXT77beHzTffPFx44YXhqaeeSt6or7/+epgyZUo48cQTkya+M2a4+IBmU7XyIVUrrVO1QhEUqZGtqhWAfF2jLly4MBx++OFhzz33TK7lX3jhhSQEiffxcXz+iCOOSPZrS8wBYh/W7bbbLlx99dXh6aefDm+//XZynH/84x/h7rvvDkceeWT47Gc/G/7+97+HUoQrw4YNS+7/3//7f8kXpKO6d+8errvuuiSlil/YuOJQnkydOjXsv//+Ye7cuUnCdtZZZyXVO/fcc0/yRori12P48OHhzTffTHu4UBpZDlZUrcASTAnKJFUrH1K1AuRNs65RTz311HDllVcm2zGsueGGG8IjjzyS3MfH0RVXXBG+973vtXmMc845J1xyySXJ9korrRROP/30JFCJ441hy2c+85nktb/+9a/JeN9///3QKD1CRsQVgLbYYovkmxO/CGeffXaHPzYGKvGLHkuV4hc2TwHLcccdF+bPnx969OiRvAliBU9FXDlpww03TJLB+OYdO3ZsOOOMM1IdL1AuqlZap2qFIlC1AkBa16hPP/10uOCCC5LtrbfeOtx3331hhRVWSB7HqUexv2rMCGKlTJyGFIspBgxY/P+t9957L5x33nnJdq9evZJjxEyhIo575MiRYYcddgh/+MMfwhNPPJFUxMTWIoWuXIkVKH/84x/DM888U1Ow0tK4ceOSkqEPPvgg5EFM5e6///5kOzbkbfmmrYhz3AYNGlT9/OIbCCgvVSsIVrJF1UrrVK18SNUKkDfNuka9+OKLq1UksUCiEqxU9OnTp1qREve76KKLljrG9OnTwxtvvJFsf/GLX1wsWKmIAdGYMWMW683SKE0NV956661mni7zWvaIOfTQQ9sMnQ4++OBkO75xJk6c2LTxQVlleUpQM6layWjVCpmaEpRXqlYASOsaddGiRcnqv1FslrvNNtu0ul98PjaojeL+S64O3LJJ7ac//ek2z7fBBhu0+jG5DldiCVElWSKEBx54ILmP05m22mqrNveL5VAVDz74YFPGBmSPqhVUrWSLqpXWqVr5kKoVII+acY363HPPhRdffHGp4yzrPLHJ7cyZMxd7LU5PqrQE+dvf/tbmMZ599tnqdiWsyX3PlThfKn5x4rytT3ziE6HsYhlTFOeOxXKl9papbvkxHTV79rL/8jxnzpyajgdFp2rlQ6pWWqdqJWNUrXSKqhWAYujItVxc1jhr16jTpk1r9TgdOc/6669fffzxj388HHjggeEXv/hF+O1vfxsef/zxZIWjluKUokrbkcr+hWloG5vI7LTTTkmn4Vq/0UXyzjvvhFdffTXZbu/rsMoqqyTJYVxSatasWTWdZ+21165rnEA2qFpB1Uq2qFppnaqVD6laAZphyJAh7e6z5FSaLFyjzm5RANDeeVpez7Z2nrhU9JNPPpn0b91xxx2TfjBxWea4ylFcQjr2avnzn/+c9HC59tprw2qrrVaMcKVSshOb1saOvb///e+X6vhbi7hsc5xqlEctl6yK3/j2VN64+tZA46ha+ZCqldapWskYVSudomoFoHMmh/VC37Bm2sMIb4eXc3+N+mYN54nnqGjtPHFGTGzAe/nllycVKnEp5iUziMMPPzwJXdqrkslVuBKXSz7yyCOTFX3+/ve/J8nS//3f/1XXnu6omEydcMIJ4Xe/+11uVgZqLRWsiMtGtad3797JfVwSqxbtpYixlKwjiSeQHlUrqFrJFlUrrVO18iFVK0AzV/bp169f7q5R36nhPJVzLOs8seji+uuvDy+99FKbzXNjxcoPf/jDDn1euQhXYrfhj33sY+E///M/k+Wa4ic/dOjQJCSJa1m3J5YoxSQqplJx7lSlEiaPll9++Zo6Fr/77rvJ/ZJLVLWnzFOvoBaqVj6kaqV1qlYyRtVKp6haASiWGKx05fVes65Rl6/hPJVztHWeuBT08ccfn4Qosf3IaaedlhQPxHPERrZXXXVVMjXo3HPPTZr13nnnnR2qysn8akHRl7/85fC///u/yRcmhiP//Oc/w+677x7uvffeZX5BzznnnGQK0c9+9rPqeth5ttJKK1W3O1JGFcutoka9EYBsUrUC2aJqpXWqVgDyr1nXqCvVcJ7KOVo7T2xg+53vfCcJVmKmECtY4n0s6IgVKoMGDQrnn39+uOyyy6qrGi05bSjX4Uo0bNiwZMWg2K03BixxztWee+6ZVLAsKXb+jcslnXrqqWHu3LlLHSevYpJWaabT3oo+r7/+evVNpUEtdD1VKx9StZLRqhVTghanaqVTVK00hylBQJ416xq1f4tqm/bO07LNxZLnufrqq5OWI9EPfvCDsNxyy7V6jK997WvJss3R+PHja2rym/lwJYodfCdOnBjWWGONJGCJ86dGjBgRbrnlluT12JQmlvMcdNBBSX+WKO4XvxBxve3Yq6W1MCZPNtnkw79OzZgxY5nVOLHHTEVM34ByULUC2aJqpXWqVgCKoxnXqJv8/+dY8ji1nqflEtCf/exnl3mcyutx5szLL79crHAl+rd/+7ckRKkkV3G+VVx3epdddkl6sTz22GNJmFIJVeKa1jfccEN49NFHw2677RbyLq6YFMXEL36ubWk5ZWr77bdvytigLFStfEjVSutUrWSMqpVQ9qqVLFO1AhRBM65R119//fCpT31qqeO05r777kvu11prrbDeeust9lqPHh+1kG2vdUjs+draxxUmXIlieU6c+xSn/sQQJa7+E7+AMUyplOusvvrq4cc//nGSWu2///6hKPbZZ5/FSppaE8uc4nrc0corr5wET0DxqVqBbAUrqlayUbWS5SlBAEXQjGvUbt26hb333jvZjtf4Dz/8cKv7xecrlStx/yUXtIkhTUUs2lhWsDJ58uRkO7YmWXXVVUMhw5UYoNx1113Vta4rVSqVhjXf//73ky6/xxxzTMMSprTEaU9xOeroyiuvrH7DWxo7dmy13Om4444LPXv2bPo4oahUreS7agUoV9VKloMVVStAUXTFNeqkSZOS6/p4GzVqVKvn+fa3v13tkXLssccutcxyfByfj2IOEPdf0l577VXdPvnkk5fq0VoRm9jOmTMn2Y69Xhu16nCq4Upcb/ozn/lMOPLII6ufbGUaUCUR22abbQq9Qk5cOiqunBTLmGKD3rPPPjtJ6GI/mqOOOiqceOKJyX4DBw4Mo0ePTnu4QBMUqWqlkUwJKhFVK5mk18qHBCtA0TTjGnXgwIHhu9/9brI9ZcqUZGrRTTfdlGzH+/g4bkdxv0pD2pbi2HbdddfqykFbbLFFMvYYCE2dOjXcfPPN4Qtf+EIy/qhv374NXS0olVKQOA3opJNOSj7pJTv1Dh48ODz33HPhtddeC/PmzUvKkq6//vrwla98JRTRlltumbx5Ro4cmSRtY8aMafWNN2HChMWWrALqo2qlOUwJgvSoWgEgy9eoZ511VtJc9qqrrkrCkAMOOGCpfQ477LBw5plntnmMuCDOl7/85ST4iTlCaxUuUVxIp7IScaM0tXIllg7FuVI77bRTNVipVKmss8464ec//3n4wx/+kDS16devX/JapcltW/O9iiCWM8Wk7fjjj0/epH369Enmrm299dbh3HPPTd5oAwYU5xckIDtVK3mdEqRqpURUrWSSqpUPqVoBiqoZ16jdu3dPph7FkCbmBLHJba9evZL7+PiOO+4IV1xxRbJfW1ZZZZVwzz33hFtvvTXst99+SR+WWHUTpyrFQCUulBPHG3u37L777qGRui1q1CLPrYhzpSqNaiu9VWLSdcoppyTftN69e1f3jalT/ORnzpxZ3f+CCy5I9qPrxHXFK+uF7/uZv4e+vfyyRPFluWqlSOFKI6tWhCslIVjJbNVKM8OVLFetCFegdW8vmB1ufmKdZHvWrFnV1WHzfK20399+E/r2XzPtIYW3Z78cfvnpEbn/2hZRUytXYg+V6om7dw9HH310sn52bD7TMliJYuIUO/5uvPHGyeMYsJxwwgkNnSMFkKYiBSuNVPhgBTJO1cqHBCsApNrQNoYksalMLDH6n//5n6RUpy2xHCguy/zZz362+rFxvlVb86gA8ly1UiR6rdRB1cqHVK10/th6rQBAscOVzTffPNx9993JnKpBgwZ16GNWW221pDlN7BZcCVguueSScOihhy5WCQNAx6laaZ2qlYxIOVjJsyJNB8oyVSsApBquxKY3nWkiE/uyxFDmc5/7XDVgufbaa5OGNQBFqFop0vLLqlbIuzxXrRSJqhUA8qSp4UplZaDOiB1/f/vb34YRI0ZUA5bf/OY3XTg6gHLIa9VKKZgSpGqlDqpWmkPVCgCZ6LlSj7ic0s033xwOOuigtIcC5IyqleawQhB5p2olG1StAJA3uQpXKqsMXXPNNeHrX/962kMByB1VK2RawZvYNpKqleZQtQJAW3qEnPrJT34SPv7xj6c9DIC6FKlqpZFUrZRACaYD5bVqpdnBiqoVAPIod5UrLf3oRz9KewhADmR5SlCRqlY0sq2TfiupyvN0oCItvZxlqlYAKGy4ApBnqlayUbVCBpSgaiWvVK0AQMcIV4BCU7XSHHmuWjElKGUZCFZUrWRDloMVVSsAtEe4AlCCqhWNbMmkEgQrjaSJLQBkh3AFKCxVK/lXmilBZey3koFgpRny2sS22VStAJB3whWAgtPItm2mBJWbqpVlHF/VCgDURLgCFFKWq1Y0su2Y0lStlJGqFVpQtQJAEQhXAApM1QqZk5FgRRPbZRxf1QoA1Ey4AhSOqhU6wpSgFJQkWKHjVK0AUBTCFQAyV7VSqilBZWlmm5FgpRlUreSfYAWAWglXAJrE8suUVoaCFVUr2QlWsly1AgC1Eq4AhZLlKUFkhylBTVSyYCXPVSt8SNUKAJ0hXAEooDw3si3VlCAKJc/BiqoVAKiPcAUojCxXrWhkSymVrGqF/AcrqlYA6CzhCgDQ9UoWrKhaAYByE64ANFjRGtnmfUqQfivlClaaQbDScapWACgq4QpQCFmeEgSlkrFgxXQgOkKwAkC9hCsABZLnqhUKoITBiqqVYlStAEC9hCtA7mW5akUj244zJSjnShisUIxgRdUKAF1BuAIAFCpYaRZVKwBAhXAFoEE0ss1W1QrlCVZMB2rn+KYDValaAaCrCFeAXMvylCAovJIGKwAAS+qx1DMA1E3VSvbot1LsUKWZVK10nKoVAMpC5QqQW6pWKIS8BRUZHm/epwMBAPklXAEgVfqt5EjJg5VGU7XSPKpWAOhqwhUgl7JctWJKEEUKLfIwxmYFK6YDdZxgBYCyEa4AUHi56LeS4fAi02NrEtOBAIBlEa4AuaNqpThMCcqBjAcrpgN14PiqVqpUrQDQKMIVgBwzJahgshRkxLFkaTytMB0IAMgK4QoAsLiMhypFCVaaQdXKR1StANBIwhUgV0wJal7VSqOZEpTBYCMH1SrN1OhgpWjTgQCgzHqkPQAAsqkoU4Jy0cw2bTkLVPRZySZVKwCUmcoVIDdUrVAazQo7clipYjpQx5gO9BHBCgDNIFwByKG8TwmiAxodeuQsVClSsFLEqhUAKDvTgoBcyHLVShE1ekqQfispymGoUpSpQM0KVlStfETVCgDNonIFoE6mBJGLICSHU4DSCFZMBwIAOkPlCkDOmBJUsma2MRC5bmrtH0PNTAeqnaoVAPiQcAXIPFOCKL0ShyX6rNRwDtOBqgQrADSbaUEAdSjilCD9VsiKovRZaQbTgQAgXcIVgBwxJYiyKFKfFdOBmkvVCgBpEK4AmWZKEJSPYKXGc5gOBACpE64AdJIpQdD1TAWqjelAi1O1AkBahCtAZqlaKd6UIP1WyFKwUoSqlWbLctWKYAWANAlXADqhiFUrUCZFCFZMBwKA7BCuAJAwJYg0FanPSjOYDrQ4VSsApE24AmSSKUHFmxLUbOvc9XjaQ6CkfVZMBwKA8hGuANTIlKDO0W+F1uiz0olzqFpZjKoVALJAuAIApKJowUozpBGsqFoBgPYJV4DMMSWo+VOC9Fuh2YoYrJgO1HyqVgDICuEKQA1MCYL6CVY6eQ7TgRYjWAEgS4QrQKaoWoFiK1rz2iIHK1mvWgGALBGuAGRYUVYJ0syWtIKVIvRZSUPWgxVVKwBkjXAFoORTgvRboRmKGqwUtWolywQrAGSRcAXIDFOCoJgEK3Wcw3QgAMgF4QoA0DCClXzJerCiagWArBKuAGR0SlBR+q1QXkVsXttMpgMBQH4IV4BMMCUoHfqtULRgpShVK6YDLU3VCgBZJlwBoKGsFFQ+gpX8EawAQH2EKwDtMCUIOk6w0gXnMR0IAHJHuAKkzpQgKIYiByvNYjrQ0lStAJAHwhWAkip6vxXNVJur6MFKUfusZJ1gBYC8EK4Aqcp61UoaU4Igb4oeZBW1z0oeqlYAIC+EKwAZo98KeZJmsKLPSrGDFVUrAOl6/vnnw+jRo8PGG28c+vbtG1ZdddUwePDgcP7554d587ruD6S/+93vwogRI0L//v1D7969k/v4OD5fi/feey+MHz8+DB8+PKyzzjrJsVZfffWw2WabhcMPPzzcfPPNoZF6NPToAEAhpV2tos9KfQQrACzL7bffHkaOHBnmzp1bfS4GKlOmTEluV1xxRZgwYUIYMKDzf4RYuHBhOPLII8OVV1652PMvvPBCcrv11luTUOTSSy8N3bsvuy7k8ccfD//5n/8ZnnjiicWef+2115JbfP6WW24J++67b2gUlStAakwJgnwqS7BS5OlAANCWqVOnhv333z8JVlZcccVw1llnhYceeijcc8894Ygjjkj2efrpp5MKkTfffLPT5zn11FOrwcqWW24ZbrjhhvDII48k9/FxFEOc733ve+0GK7vssksSoCy//PLhmGOOCf/7v/8bHnvssTB58uRw7bXXhq9+9avhYx/7WGgklSsAJdSsZrZDn5oW0g4B1rnr8VTHUDSClS4+j6qVpahaAUjXcccdF+bPnx969OgR7r777rDttttWX9t1113DhhtuGE488cQkYBk7dmw444wzaj5H/NgLLrgg2d56663DfffdF1ZYYYXkcZx69B//8R9h5513Tqpk4jSkr33ta61WybzzzjtJNco///nPZCrQ73//+2R8LW2zzTbhoIMOCgsWLAiNpHIFIEP0WyHLBCtdfB7BCgAZEytH7r///mT7sMMOWyxYqYh9WAYNGpRsjxs3Lul1UquLL744vP/++8n2JZdcUg1WKvr06ZM8H8X9LrroolaPEwOaGNTEaUO//OUvlwpWWurVq1doJOEKkIqsTwkCFidY6eLzWHa5VapWANIV+5xUHHrooa3uE4OMgw8+ONl+4403wsSJE2s6x6JFi8Jtt92WbMdmubGypDXx+Y022ijZjvvHj2vpgw8+CD/72c+S7d133z38+7//e0iTcAWgFfqtQPmClaLLetWKYAUgfQ888EByH1cH2mqrrdrcL07ZqXjwwQdrOsdzzz0XXnzxxaWOs6zzxAa3M2fOXOy12AcmPh/FaUQtpwo9++yzyWsxgGkWPVcAMsKUoMbQdyW/oUqzg5UiV61kPVgBoHZz5sxpd5+4rHEtpk+fntzH/iax50pbYsXJkh/TUdOmTWv1OB05z/rrr199/PDDD1e343LLzzzzTDj55JOTlY4qU5U+/vGPJ8HL6aefHjbYYIPQSMIVoOlMCSpHM1vyLQvBSjMVOVjJA1UrALUbMmRIu/ssOZVmWWLFx6uvvtqhUGaVVVZJqlvefvvtMGvWrFCL2bM/+oNie+dZe+21q9tLnqdlSPPkk0+GPffcMxlPS//617/Cddddl0x3+vWvf51MH2oU4QrAEkwJouyyEqwUrc9KWrJetSJYAfJg8nP9Qo/5/dIeRnj/H8s17Ngtl1WOSzC3pxKuvPXWWw07TzxHxZLniSsEtVzhKIZDxx9/fPjGN76RrBwUQ5zYkyU2vY3njKsK/fnPf05eawThCgCQqVClqH1WTAcCoKtX9unXr+sCnxhO1LKyTu/evZP7uGxzo85TOUdr52lZpRKP+cMf/jCcdtpp1ec+/elPh/POOy+pshkzZkzSfPfss88OP/3pT0MjaGgLNJUpQa3Tb6U8oUFWZelrpM9KeahaAei8GKzEaTXLutVi+eWXr24vWLCg3f3ffffd5H7JZZS78jyVc7R2npbHWX311cNJJ53U6jG++93vhk9+8pPJdlyuuZapUrUQrgC0YEoQZSRYKWawkvWqFcEKQLastNJK1e2OTPWpVI50ZApRZ8/TsjplyfO0PM7QoUPbrIKJjXl322236lSiv/3tb6ERhCsAlEKWAoQsfU2y9HUpYrCSlqwHKwBkT6wEWW211ZZqOtua119/vRp8tGw62xEtK2raO0/LJrZLnqfl4/bG0PL1V155JTSCcAVoGlOC0lf2lYKyFCSkLWtfi6IGK6YDtU7VCkA2bbLJh/8fz5gxI7z//vtt7hdX56kYNGhQp86x5HFqPc+mm25a3f7ggw+WeZyWry9riel6CFcAoESyVq0SCVbKVbUiWAHIrh122CG5j1Upjz32WJv73XvvvdXt7bffvqZzrL/++uFTn/rUUsdpzX333Zfcr7XWWmG99dZb7LWddtqput3eVJ9nn322uh2P1QjCFYCU+61oZttcWQsWyv65F3FVoEiwAkAe7bPPPtXtq6++utV9Fi5cGK699tpke+WVVw677LJLTefo1q1b2HvvvauVKQ8//HCr+8XnK5Urcf/4cUuGNFtuuWWyPXHixPCvf/2r1ePEZZh///vfJ9sbbLBBl66w1JJwBWgKU4IgPVmsVkkjWNHANn2qVgCybciQIWHHHXdMtq+88sowefLkpfYZO3ZsmD59erJ93HHHhZ49ey72+qRJk5IgJN5GjRrV6nm+/e1vh+WWWy7ZPvbYY5daZjk+js9XpvHE/Vtz8sknVytt2trnO9/5Tpg7d26yffTRR4dGEa4AUDpZDBrK9rkWNVihbYIVgHwYN25csuxx7LkybNiwcPbZZydVJLE65Kijjgonnnhist/AgQPD6NGjO3WOgQMHJkskR1OmTEmmFt10003JdryPj+N2FPfbcMMNWz3OfvvtF/bcc89ke/z48eHzn/98uO2228LUqVPD//7v/4bhw4eHK664Ink9Vrkcc8wxoVEa08kFAHIQOqxz1+OhqLIaqhQ9WFG1AkDexRAiBhwjR45MKj7GjBnTajgyYcKExZZDrtVZZ50VXn755XDVVVclYcgBBxyw1D6HHXZYOPPMM5d5nDjWL3/5y+Huu+8Od911V3Jb0uDBg5OwJa6I1CgqV4CGy8OUIP1WKIqsTgGqEKyUM1hRtQKQL3vttVd4/PHHw/HHH58EKX369En6q2y99dbh3HPPTcKQAQPq+z+2e/fuydSjGNLEniqxyW2vXr2S+/j4jjvuSKpO4n7LsuKKK4Y777wz3HDDDUnlyic/+clkqtIaa6wRPve5zyXhTZzeFJ9vpG6LFi1a1NAzkGlxXfHKmt/7fubvoW8vS0bS9YQr2QhX0liGeehT00LWFaV6JcuBSoVgpesJVoAsenvB7HDzE+sk27NmzQr9+/fP/bXS2vc8HHp8sjGNUGvx/j/mhFm7bZP7r20RmRYEADmWh1Cl6MEKAIBpQUBDqVoh6/ISTuRt+k8ZlluuULXSNlUrAJSFcAWA0stLSJG3UCWtYMV0oGwQrABQJqYFAaREM9tsaRlYZLEPS54ClQrBCgBQFsIVAGgjyEg7ZMljoFIhWGkcVSsAkD3CFaDU/VYga9UseQ5UyhKspEmwAgDZJFwBSk0zW7JQzVKEQKVMwYo+KwDAkoQrADT0QnvoU9NCkXS2mqVIAUpbBCuoWgGgrIQrANBJZQhMsrzUcpmClTxUrQhWACgz4UqK3nrrrfDHP/4xPPLII8nt0UcfDTNnzkxeW3fddavbkEf6rSyblYIoCsFK4+UhWAGAshOupGivvfYKkyZNSnsYUFpl6rcyNMxIewgUUFrBSpnkJVhRtQJA2XVPewBltmjRour2qquuGoYNGxZWXHHFVMcEAFkPVspUtZIHghUAEK6k6qtf/Wr4xS9+EZ555pnw2muvhbvuuiustlo+/kIFy2JKEBSbYKU58lK1AgCYFpSqI488Mu0hAEBNBCvNkZdgRdUKAHxI5QpQSmXqt5I2fTmK830UrDSHYAUA8ke4AnQpU4LaZ6Ug8ibtgKxMwUpeCFYAYHGmBRXc7NnLvoibM2dO08YCQP6ULVhJW16qVgCAxQlXCm7ttddOewgA5FQZgxXTgdqnagUAlmZaEACFv0gnf98zwUo2CVYAoHUqVwpu1qxZ7U4LGjJkSNPGQ7Hlpd+KZraQ3VAlGYNgJZMEKwDQNuFKO7p161b3Ma6++uowatSokIb+/TXlA6BjBCsAAJ1jWhAAIFhJiaoVACgGlSvtmD59et3H6NevX5eMBbIsL1OCSPfifehT09IeBhkMVSLBSnYJVgCgfcKVdmy88cZpDwEokKEbLnt5dGimMgcractLsAIAdIxpQUCpaGYLHyp7sJJ21UpeqFoBgI4RrgBQugv6sn8PsvJ9KGuwkpeqFcEKAHSccAWom34rkA9ZCVUiwQoAUCR6rqRoxowZ4YEHHljsubfeeqt6P378+MVe+/znPx8++clPNnWMAF1NY9t0CFYEK7VQtQIAtRGupCgGK4ceemirr7322mtLvTZx4kThClAIApZyhiqRYCX7BCsAUDvhClAamtlSJlkLVcocrOSJYAUAOkfPlRSNGjUqLFq0qMO3oUOHpj1kWIp+K/mQxaVus3jxXxRZ/NqWOVjJU9UKANA5whUAUpPFECDPsrQSUEuClXxQtQIAnSdcAYACyGKoEglW8kGwAgD1Ea4AkKqshgJ5kdVqlaxOR2sWwQoAlIuGtkCn6bdSm6Ebzk57CJll9aDaZTVQyUKokoWqlbwQrABA11C5ApSClYIoEsFKtoOVPFWtAABdQ7gCQCZkOTDIiixPAYoEK/kKVlStAEDXMS0IADIuy4FKhWBFsAIAZaZyBegU/VYoa4jQTFmvVKkQrAhWAKDshCsAJZH2BXBH5SFMaLS8hCpZeF8JVgCALBCuAJA5eQkWyhyqRIKV/FG1AgCNoecKUHhWCsqnMi3PnKdAJQuhSpaClTxVrQhWAKBxhCsAZD50KGrIkrdQJRKsfESwAgBUCFeAmmlmS7MVKWTJY6BSIVjJZ7ACADSecAWgROLF8dAwI+RVnkOWPIcqkWAlv8GKqhUAaDzhCgC5k5eQJe+BSoVg5SOCFQCgNcIVAHIriyFLUQKVCsHKRwQrAEBbhCtATfRbIYvSDlmKFqhkJVTJUrACALAswhUACqPRIUsRQ5TWCFaWpmoFAFgW4QpQaN32eC3tIWRO3pvadnUI0loQU5YQpTWClaUJVgCA9ghXACi1MgcpSxKsLE2wAgB0hHAFAEouK6FKJFgBAPKoe9oDAPJDM1soHsFKcYIVVSsAkB7hCkAJZemCmvRk6X0gWKmPYAUA0mVaEACUTJZClUiwUh/BCgCkT+UKQEll7QKbcn7fBSv1EawAQDYIVwCgJAQrAACNYVoQABRc1kKVLAYrqlYAgHqoXAE6xEpBxbuYzOpFN8X/HmftZ0GwAgDUS7gCFFa3PV5LewiQKsFK+wQrAEBXMC0IAAomi6FKJFipn2AFALJJ5QpAyWX1QpxifT8FKwBAkalcAYACyGqoEglWuoaqFQDILpUrQLs0sy2+LF+Yk+/vn2ClawhWACDbhCsAZP4Cnba/Z1n+vglWuoZgBQCyT7gCADmU5VAlEqx0DcEKAOSDcAWA3Fywk/1qlUiwAgCUjYa2ACwmXrgPDTPSHgatEKqUK1hRtQIA+aFyBaDkF595vIgvG9Uq5SNYAYB8UbkCABmV9UAl68FKXqtWBCsAkD8qV4BlsgxzeeXlwr6I8lCpUiFY6VqCFQCy4vnnnw+jR48OG2+8cejbt29YddVVw+DBg8P5558f5s3rumuE3/3ud2HEiBGhf//+oXfv3sl9fByf76zHH3889OzZM3Tr1i25jRo1KjSayhUA2qT/SvPlJVSJBCtdS7ACQFbcfvvtYeTIkWHu3LnV52KgMmXKlOR2xRVXhAkTJoQBAzr/e8vChQvDkUceGa688srFnn/hhReS26233hoOP/zwcOmll4bu3bvXdNwjjjgivP/++6GZVK4AQAbkqVolEqwAQDFNnTo17L///kmwsuKKK4azzjorPPTQQ+Gee+5JQovo6aefDsOHDw9vvvlmp89z6qmnVoOVLbfcMtxwww3hkUceSe7j4yiGON/73vdqOu5///d/J8dZc801QzMJVwBYpjxd8OdRHkMVwUrXU7UCQFYcd9xxYf78+aFHjx7h7rvvDmPGjAnbbrtt2HXXXcNll10WzjvvvGrAMnbs2E6d4+mnnw4XXHBBsr311luHBx98MBxwwAHJtKN4/8ADDyTPR3Ea0owZHauknj17dhLGxKlA8eOaSbgCQLvydPGfF3kLVaKshiqRYAUA6hcrPu6///5k+7DDDktClSXFPiyDBg1KtseNGxfee++9ms9z8cUXV6ftXHLJJWGFFVZY7PU+ffokz0dxv4suuqhDx/3mN7+ZVNPEHis77bRTaCbhCkCTZfkCdVnyFgRkVR5Dlay/bwUrANA1Yp+TikMPPbTVfWL/k4MPPjjZfuONN8LEiRNrOseiRYvCbbfdlmzHZrnbbLNNq/vF5zfaaKNkO+4fP25ZbrnllvC///u/YbXVVmt61UokXAHaZKUglpTHUCAr8hqqRIKVxhCsAJA1cTpOFFcH2mqrrdrcb+edd65uxyk9tXjuuefCiy++uNRxWlN5PTa4nTlzZpv7/etf/wrf+ta3ku04bSkGLM0mXAGgJnkNCNKS51AlEqw0hmAFgCyaPn16ch9XAYo9V9oSK06W/JiOmjZtWqvHqec8J510UpgzZ07Ycccd26y4aTRLMQNQM0s0ty/PgUqFYAUAsiuGCe3p37/j/5e/88474dVXX+3Qx62yyipJdcvbb78dZs2aFWoRm852dHxrr712dbut88TKmdhot2fPnuGnP/1p0sw2DcIVgJQuWodu+NF/LHkOD4QsixOqNF7egxVVKwB0hSFDhrS7T3t9SlpquaxyXIK5PZVw5a233urwOWo9TzxHRWvnWbBgQTjyyCOTz/M73/lO2HTTTUNahCsA1EUVSzEClQrBSmMJVgDyadG9q4RFK6f/f9CiN95p2LFj5UpFr1692t2/d+/eyX1ctrlR56mco63znHPOOck0o/XWWy98//vfD2kSrgBQt7JWsRQpVIkEK40lWAGgq5dN7tevX5cdb/nll1+sIqQ97777bnK/5DLKXXmeyjlaO89TTz0VfvSjHyXbcdnmuHxzmoQrACkpwtSgMoYsRQtUKgQrjSVYAaCrxWCllp4q7VlppZWq2x2Z6hOnBHV0ClFnz1M5x5LnidOAjjrqqCR8GTFiRPjiF78Y0iZcAaDLFS1kKWqgkodQJRKsAEDjxYqSuITxa6+9tljT2da8/vrr1eCjZdPZjmgZCLV3npZNbFue5+GHHw733ntvsr3ddtuFG2+8camPfeWVVxZb/rmyz2c+85nk1tWEK0CrJo2cl/YQKIA892MpcqBSIVhpPMEKAHmyySabhPvvvz/MmDEjvP/++20ux/zkk09WtwcNGlTzOVo7Ti3naTld6Lvf/W6757zvvvuSW3T66ac3JFzp3uVHBIAlQoq8BBWVseZlvPUQrDSeYAWAvNlhhx2S+1iV8thjj7W5X6VqJNp+++1rOsf6668fPvWpTy11nNZUApG11loraVqbZcIVgBTl4QK3EcFFFsKLJceThTE16z2Xh/dd3oMVAMijffbZp7p99dVXt7rPwoULw7XXXptsr7zyymGXXXap6RzdunULe++9d7UyJU7xaU18vlK5EvePH1cxdOjQpO/Ksm5xKlDFIYccUn3+jDPOCI0gXAEgFc0MNsoapCwpD6FKUYIVVSsA5NGQIUPCjjvumGxfeeWVYfLkyUvtM3bs2DB9+vRk+7jjjgs9e/Zc7PVJkyYlQUi8jRo1qtXzfPvb3w7LLbdcsn3ssccutcxyfByfj+LUpLh/1um5AkAmtBZ4tNavpazBSL0EK80jWAEgz8aNG5dM9YkBx7Bhw8KYMWOS6pT4ODaFveyyy5L9Bg4cGEaPHt2pcwwcODDplXLOOeeEKVOmJOc76aSTwgYbbBCeffbZcO6554apU6cm+8b9Ntxww5B1whWAlBVxSeauIkgpT6gSCVYAIH1bbrlluOmmm8LIkSPD3Llzk3CltXBkwoQJiy2rXKuzzjorvPzyy+Gqq65KgpQDDjhgqX0OO+ywcOaZZ4Y8MC0IAApKsNJcghUAimKvvfYKjz/+eDj++OOTIKVPnz5Jf5Wtt966WlUyYEB9fwTr3r17MvUohjSxp0pscturV6/kPj6+4447whVXXJHslwcqVwCggAQrzSVYAaBo1l133XDhhRcmt1oM/f+bzXbUnnvumdy6WlxdqJZx1CsfERDQVJNGzkt7CKWTpwthsi0vqwFVCFYAgCIQrgBAQeQpVIkEKwBAUQhXADIibxfGZEfeqlUiwQoAUCTCFaCwinDxBu3JY6jiZxMAKBrhCkCG5O1CmXTl7f1SpFBF1QoA0JLVggAgZ/IWqkSCFQCgyFSuAECOCFbSJVgBAFojXAHImDxePNN4eWxaGwlWAIAyEK4AQMblMVSJBCsAQFkIVwAyKK8X03StvFarRIIVAKBMhCsAGZXXi2rKHapEghUAoGyEKwAZlucLbMr5PResAABlZClmoNDihV63PV5LexhQ+FAlEqwAAGWlcgVYzKSR89IeAgW86KbY3+MYqghWAIAyE64A5EDeL74pZm+VqEihCgBAZwlXAHIi7xfhFCtUKWqwomoFAOgMPVcAoEmKEKhUCFYAAD6icgUgR4p0cV42RfreCVYAABYnXAEKr2gXgkW6SC+DokwBKurPUyRYAQDqZVoQQA7Fi/WhG85OexgsQ5EClaKGKpFgBQDoCsIVAOhCRQtVIsEKAMCymRYEkFNFvIjPs6JN/6kQrAAAtE+4ApBjRbyYz5uihiqRYAUAoGOEK0ApFPUiMSrqhX3WFTlUKfLPjGAFAGgEPVcACkCD2+YpcqBS5FAlEqwAAI0iXAEo2EW/kKUxih6qRIIVAIDOEa4AFIwqlq5ThkClQrACANB5whWgVBeP3fZ4LZSBKpb6lClUiQQrAAD1Ea4AFJiQpTZClWIRrAAAzSJcASgBU4XaVrZApUKwAgDQdYQrQKmUaWrQklSxfKSsgUqFYAUAoGsJVwBKpqxVLGUPVCoEKwAAXU+4AlBCZaliEaiUJ1SJBCsAQFqEKwAlVsSQRaCyNMEKAEBjCVeA0ilz35WOBhJ5CluEKcsmWAEAaDzhCgC5CluEKR1ThlAlEqwAAFkgXAGgpkCjWUGLEKXzBCsAAM0lXAFKydSg5oYeLQMZoUljCVYAAJpPuAJAwwlUGq8soUokWAEAsqZ72gMASEuZLkYptjK9lwUrAEAWCVdSNHPmzHDJJZeEL3/5y2HDDTcMffr0Ccsvv3zo379/2GeffcKNN94Y3n///bSHCUCGCVYAANJnWlBKTjvttHDWWWeFRYsWLfXaCy+8kNxuu+22cOGFF4ZbbrklrLPOOqmME4pO7xXyqkyhSiRYAQCyTOVKSubMmZMEK3379g0jR44MV199dXjggQfClClTwnXXXRcGDx6c7Pfoo4+G3XffPbz11ltpDxmAjBCsAABki8qVlKy22mrh3HPPDV//+tfDSiuttNhrW221VTjwwAPDV7/61fDLX/4yPPPMM0kFy/e///3UxgtA+soWqkSCFQAgD1SupCQGKyeeeOJSwUrFcsstF/7nf/4n9OrVK3kcpwYBjVHGC1byp4zvU8EKAJAXwpWMV7dsvvnmyfazzz6b9nAASClUEawAAGSbcCXj3n333WolCzRDWS9oynjxSvaV9X1Z1n+HAID80nMlw15++eUwffr0ZHvQoEGdOsbs2bPbbawLQLaUNVSJBCsAQB4JVzLs/PPPD++//36yvd9++3XqGGuvvXYXjwqKy7LMZIFgBQAgf4QrGfWHP/whXHzxxcl2//79k1WFACiuMocqkWAFAMgz4UoGvfTSS+ErX/lKUrXSrVu3cM0114Q+fTr3S+esWbPanRY0ZMiQTo4Uikf1CmkQrAhWAIB8E660I4Yb9br66qvDqFGjOrTvm2++GYYPH17tlXLOOeeEXXfdtdPnjlUvQG0ELDSTYEWwAgDkn3AlQ955552w9957h8ceeyx5fMIJJ4QTTzwx7WEB0ABlD1UiwQoAUBTClXZUVuupR79+/drdJ04Bik1rJ06cmDw+/PDDk4a2QDpUr9AoQhWhCgBQPMKVdmy88cYNP8fChQvDQQcdFG6//fbk8f777x8uvfTShp8XgOYSrAhWAIBi6p72AAjhqKOOCjfeeGOyvddee4Xrr78+dO/uWwNpcyFMV76XvJ8EKwBAcbmCT9l3vvOdcMUVVyTbu+22W7j55ptDjx4KikiXC6CPuCCmHkKVj/h3BQAoMuFKis4444xw0UUXJdvbbbdduO2220Lv3r3THhYAXUCo8hHBCgBQdEokUnLJJZeEH/zgB8n2WmutFc4777zw3HPPLfNjNtpoo9CzZ88mjRCo0NyWWghVFidYAQDKQLiSkl/96lfV7RdeeCHssMMO7X5MDF/WW2+9Bo8MaI2AhfYIVZYmWAEAysK0IACok2BlaYIVAKBMVK6kZNKkSWkPAaiR6hWWJFRpnWAFACgblSsANXAxTWQVoLYJVgCAMhKuAK1ygdQ2F9XlJVRZ9r8Z/t0AAMpKuALQCS6wy0WosmxCFQCg7IQrAJ3kYrv4hCrtE6wAAAhXAOriwruYhCodI1gBAPiQcAWgTi7Ci0Oo0nGCFQCAj1iKGaALWKY53wQqHSdUAQBYmsoVoE0uomrjAj1/VKrUxr8JAACtU7kC0IVUsGSfMKVzBCsAAG1TuQLQxVy8Z5Mqlc4TrABA+Tz//PNh9OjRYeONNw59+/YNq666ahg8eHA4//zzw7x587rsPL/73e/CiBEjQv/+/UPv3r2T+/g4Pt+el156KVxxxRXhq1/9athkk03CiiuuGHr16hX69esXPv/5z4fLLrsszJ8/PzSDyhWABqhcxKtiSZ9ApT6CFQAon9tvvz2MHDkyzJ07t/pcDFSmTJmS3GKgMWHChDBgwIBOn2PhwoXhyCOPDFdeeeViz7/wwgvJ7dZbbw2HH354uPTSS0P37kvXhVx++eXh61//evjggw+Weu0f//hHcrvrrrvCBRdcEG655Zaw+eabh0ZSuQLQQC7s06NSpX6CFQAon6lTp4b9998/CVZiJchZZ50VHnrooXDPPfeEI444Itnn6aefDsOHDw9vvvlmp89z6qmnVoOVLbfcMtxwww3hkUceSe7j4yiGON/73vfarFqJwUqsVPnSl74Ufvazn4V77703/PGPfww333xzGDZsWLLfM888E3bfffcwe/bs0EjdFi1atKihZyDT4hts7bXXTrb3/czfQ99e/dMeEhk0aWTXlf2VmSqWxhOmdA2hCgD1eHvB7HDzE+sk27NmzUqmeeT9Wqn/958KPVZeK+0hhfffeCHM/uFGDf3a7rTTTuH+++8PPXr0CPfdd1/YdtttF3s9Tgs68cQTk+3TTz89nHHGGTWfI4Yzm266aXj//ffD1ltvnZxnhRVWWKxKZuedd06qZOI4pk+fvlSVzEUXXZQELHHq0hprrNHqeeJrF154YbJ96KGHhquuuio0isoVgCZRSdE4vrZdR7ACAOUVK0disBIddthhSwUrlcBi0KBByfa4cePCe++9V/N5Lr744iRYiS655JLFgpWoT58+yfNR3C8GKUs6/vjjwznnnNNmsBKdffbZSf+V6Ne//nUyFalRhCsATSYI6Nqvo69l1xGsAEC5xT4nFbHSozWx/8nBBx+cbL/xxhth4sSJNZ0jTp657bbbku3YLHebbbZpdb/4/EYbfVilE/fvzKSbOGVo++23T7b/9a9/hddea1wluXAFICWCgdoJVBpHsAIAPPDAA8l9XB1oq622anO/OGWn4sEHH6zpHM8991x48cUXlzrOss4TG9zOnDkzdMa7775b3V5uueVCo1gtCOjQRZe+K40TgwL9WJZNmNI4QhUAyKc5c+a0u0+tPVlib5Mo9jeJvU7aEitOlvyYjpo2bVqrx+nIedZff/1QizhlafLkycn2Jz7xiWQ56UYRrgBkgKWbFydMaQ7BCgDk15AhQ9rdp5apNO+880549dVXOxTKrLLKKkl1y9tvv5001q1Fy1V72jtPpaFwVOt5ossuu6z6Oe27776hkYQrABlS1pBFmNJ8ghUA6Lhtf71C6Nsr/f87316wQri5QcduuaxyXIK5PZVw5a233mrYeeI5Kmo9z9/+9rdkuefKeU455ZTQSMIVgByEDUUMWwQq6RGsAEAxVvaprITTFWLlSstGsO3p3bt3cj9//vyGnadyjlrPE5dy/tKXvpQ0sY3iykOf+tSnQiMJV4AO0XclO0FEHoMWQUo2CFUAoDhisFJrT5VlWX755avbCxYs6HCj2CWXUe7K87RsRtvR88Slm+MUoD//+c/J469//eth1KhRodGEKwA5k/WqFkFKNglWAIBlWWmllWqaghOnBHV0ClFnz1M5R0fPE3vMxCDljjvuSB7vt99+4b//+79DMwhXAHJuWWFGI4MXIUp+CFYAgI5UlKy22mrhtddeW6zpbGtef/31avDRsulsR7SstmnvPC2b2HbkPN/85jfDz3/+82T7C1/4Qrj++utD9+7dQzMIVwAKTACCYAUA6KhNNtkk3H///WHGjBnJ9Jq2lmN+8sknq9uDBg2q+RytHafe85x00knhpz/9abK90047hV/96lehZ8+eoVmaE+EAheAiDfL18+pnFgCoxQ477JDcx6qUxx57rM397r333ur29ttvX9M51l9//Wpz2ZbHac19992X3K+11lphvfXWa3O/M888M5x33nnJ9uDBg8Nvf/vbmnvB1Eu4AgAFI1QBADpjn332qW5fffXVre6zcOHCcO211ybbK6+8cthll11qOke3bt3C3nvvXa1Mefjhh1vdLz5fqVyJ+8ePa824cePCaaedlmxvttlm4c4771ysr0uzCFcAoEAEKwBAZw0ZMiTsuOOOyfaVV14ZJk+evNQ+Y8eODdOnT0+2jzvuuKWm3kyaNCkJQuKtrVV6vv3tb4flllsu2T722GOXWmY5Po7PR3FqUty/NTEAOv7445PtgQMHhv/7v/8Lq666akiDnitATSzJDNkkVAEAukKsBIlTfWLAMWzYsDBmzJikOiU+vvHGG8Nll11WDTNGjx7dqXMMHDgwfPe73w3nnHNOmDJlSnK+2DNlgw02CM8++2w499xzw9SpU5N9434bbrjhUse49dZbwxFHHJGsEPSxj30sGfcrr7yS3JY1Jalv376hEYQrAJBzghUAoKtsueWW4aabbgojR44Mc+fOTcKV1sKRCRMm1DX95qyzzgovv/xyuOqqq5Ig5YADDlhqn8MOOyzpp9KaGK588MEHyXYcZ1wdqD0TJ04MQ4cODY1gWhBQMxdykB1+HgGArrbXXnuFxx9/PJlyE4OUPn36JP1Vtt5662pVyYABA+o6R/fu3ZOpRzGkiT1VYpPbXr16Jffx8R133BGuuOKKpi2lXK9ui2INDaUV1xWvrBe+72f+Hvr2+mjNcVgWU4MgXUIVALLq7QWzw81PrJNsz5o1K/Tvn89rjCxeKxXla1tE+YiAAIAqwQoAQLYIV4BOcXEH6fCzBwCQPRraAkAOCFUAALJL5QoAZJxgBQAg24QrQKe54IPG/4z5OQMAyD7hCgBkkFAFACA/hCtAXVwAQtfzcwUAkC8a2gJARghVAADySeUKUDcXhFA/P0cAAPmlcgUAUiRUAQDIP5UrQJdwgQi183MDAFAMwhUASIFgBQCgOIQrQJdxsQgd+znxswIAUCx6rgBAEwhUAACKS+UKADSYYAUAoNiEK0CXchEJHzEFCACgHIQrQJdzMQl+DgAAykTPFQDoQkIVAIDyUbkCNIQLTMrI+x4AoJxUrgBAnYQqAADlpnIFaBgXnJSB9zkAAMIVoKFceFJUVgICAKDCtCAAqIFABQCAJalcARrOxShF4b0MAEBrhCtAU7goJc9MAQIAYFmEK0DTuDglb4QqAAB0hJ4rALAEgQoAALVQuQI0lYtWss57FACAWglXgKZz8UoWmQIEAEBnCVeAVLiIJSuEKgAA1EvPFQBKSaACAEBXUbkCpMbFLWlQqQIAQFcTrgCpcpFLM3m/AQDQCMIVIHUueGk01SoAADSScAXIBBe+NIJQBQCAZhCuAJnhIpiuIlQBAKCZhCtAprggph5CFQAA0iBcATLHxTG1EqoAAJAm4QqQSS6U6QihCgAAWdAj7QEAtCVeNE8aOS/tYZAxwhQAALJG5QqQaS6kqVClAgBAVqlcATKvckGtiqWcBCoAAGSdyhUgN1xkl4tKFQAA8kK4AuSKi+3iE6oAAJA3pgUBuWOaUPEIUwAAyDOVK0BuuSDPP1UqAAAUgcoVINdUseSPMAUAgKIRrgCFIGTJPqEKAABFJVwBCkXIki0CFQAAykC4AhSSkCU9AhUAAMpGuAIU/kJfwNJ4AhUAAMpMuAIUniqWxhCoAADAh4QrQGkIWeojTAEAgNYJV4BShwSClmUTqAAAQPuEK0CpLRkelD1sEaYAAEDthCsAJa5qEaYAAED9hCsAJQlaBCkAANAYwhWATgYTWQ5cBCkAANA8whWABgQYjQxeBCcAAJAtwhWABhCAAABAeXRPewAAAAAAeSZcAQAAAKiDcAUAAACgDsIVAAAAgDoIVwAAAADqIFwBAAAAqINwBQAAAKAOwhUAAACAOghXAAAAAOogXAEAAACog3AlRRMmTAhnnHFGGD58eBg0aFBYffXVQ8+ePcMqq6wSttpqqzB69Ojw1FNPpT1MAAAASub5559Prkk33njj0Ldv37DqqquGwYMHh/PPPz/Mmzevy87zu9/9LowYMSL0798/9O7dO7mPj+PzHfX++++Hn/3sZ2HHHXcMa6yxRlhhhRXCBhtsEI466qjw17/+NTRDt0WLFi1qyplY6psfg5T2xH1++MMfhpNPPrkh45g9e3ZYe+21k+19P/P30LdX/4acBwAAKIe3F8wONz+xTrI9a9as5GI5j7J4rdSsr+3tt98eRo4cGebOndvq6wMHDkyKBQYMGNDpcyxcuDAceeSR4corr2xzn8MPPzxceumloXv3tutCXn311bDnnnuGRx99tNXXY2Dz3//938mxGknlSoo+/vGPh7333jv86Ec/CjfeeGO49957kzfEbbfdFo4//vjk9ffeey+ccsopSQoHAAAAjTR16tSw//77J8HKiiuuGM4666zw0EMPhXvuuSccccQRyT5PP/10MgPjzTff7PR5Tj311GqwsuWWW4YbbrghPPLII8l9fBxdccUV4Xvf+16bx/jggw+SKpdKsPKlL30pqXj5wx/+EH784x+HNddcM7z77rtJBUstlTCdoXIlRfGNsNxyy7X5+nPPPZdMD3r99deT0qY5c+Ysc/+ipLEAAEB+qVzJ99d2p512Cvfff3/o0aNHuO+++8K222672OtxWtCJJ56YbJ9++ulJq4taxXBm0003TWZ0bL311sl54lSeijjtaOeddw5TpkxJxjF9+vRWq2SuuuqqcNhhhyXb3/jGN8JPfvKTxV6fMWNGck0dg6L48fE48XiNoHIlRe0FJeuvv37Yb7/9ku1XXnklPPnkk00aGQAAAGUTK0disBLF0GLJYCWKfVhiz9Bo3LhxyWyLWl188cVJsBJdcskliwUrUZ8+fZLno7jfRRdd1OpxLrjgguQ+9oOJoc+SYqASZ4JUgpbf/OY3oVGEKxm30korVbffeeedVMcCAABAcd16663V7UMPPbTVfWL/k4MPPjjZfuONN8LEiRNrOkecPBNbYUSxWe4222zT6n7x+Y022ijZjvsvOekmVr/ESpQoFiXEQKY1o0aNqm4LV0pq/vz51TddfAPHpkEAAADQCA888EByH1cHitNp2hKn7FQ8+OCDNZ0jtr948cUXlzrOss7zwgsvhJkzZ7Y61vaO88lPfrJ6LV3rWGvRmMlGdFosqYq9VWLDoHPPPTc888wzyfNf+9rXFqtiqWWe4LLEeXoV896b04kRAwAAhFavKypTP/JufkaulVqOI143tqfWniyVSpA4nWZZvUlixcmSH9NR06ZNa/U4HTlPbJ3R2ePESpd4/fv2228n4VFXE65kQEzgWr5JlrTHHnuEsWPHdurYlQZMHTHhqX/v1DkAAABaE3tHrrfeeiHvfpvBa6UhQ4a0u08t69fENhRxWeOOhDKrrLJKElDEoKLlH+xrLQBo7zwtr2eXPE9njhO/HvHjKtONupJpQRm2+uqrh5tuuilZP/xjH/tY2sMBAACoyUsvvZT2EOiglssqxyWY21Op/njrrbcadp6WFSZLnqerjtNVVK5kwFprrRX+8pe/VMvm4nyyO++8M1nz++ijjw7PPvtstcNxrdpLEeN8t7jUVhSnItVS6ULxxNLCSgIeO4X369cv7SGRIu8HWvJ+YEneE7Tk/cCS1yDbbbddh6ZrZFns1VFrVUYzf+bWWGONLl1WuOUCKr169Wp3/969e1d7hTbqPJVztHaerjpOVxGutKNbt251H+Pqq69erEPxknr27Bk+85nPVB9vscUWYfjw4eGII44Iu+yySxgzZkzSeyWu4V2rWubYxWAlr2vQ0/XiL0XeD1R4P9CS9wNL8p6gJe8HWlp++eVDXsXgIqvv5UaMq+X3asGCBe3u/+677yb3Sy6j3JXnqZyjtfMseZxlvdeWdZyuYlpQhm2++ebhzDPPrAY0d999d9pDAgAAoIBaLqDSkakzsd9KR6cQdfY8lXO0dp6uOk5XUbnSjlo7H7emnrLIvffeO3zjG99Itm+55ZYwbNiwuscDAAAALcXKj9VWWy289tpr7a46+/rrr1cDi1pbS/RvUXVTy+q2S55nyePEnqXtHSfOTGlUNZJwpR1pzxGM8+gqnn/++VTHAgAAQHFtsskm4f777w8zZsxI+oG21dPlySefrG4PGjSo5nO0dpxaz7PkcWJ7jfaOEwOaRizDHJkWlHGxuW2jy5cAAABghx12SO5jVcpjjz3W5n733ntvdXv77bev6Rzrr79++NSnPrXUcVpz3333VReBWXJJ78pY2zvOP/7xj/D00093aqy1EK5k3M0331zd3myzzVIdCwAAAMW1zz77VLdj38/WLFy4MFx77bXJ9sorr5wswlKLODUntr+oVJQ8/PDDre4Xn69UnMT9l1xsZuDAgdVqll/+8pdh3rx5rR5n/Pjx1e0RI0aERhGupOTWW29Nls9qL6X74Q9/mGzHcqwDDzywSaMDAACgbOKS6jvuuGOyfeWVV4bJkycvtc/YsWOrvUmPO+64ZPXbliZNmpQEIfHW1qq53/72t8Nyyy2XbB977LFLLY8cH8fnK9fCcf/WnHDCCcn9P//5z3DiiScu9fqzzz4bzj777GR7wIABwpWihiuxrOlLX/pS+MlPfpK8Af/0pz+FP/zhD+EXv/hFEqTEBLDS9fj73/9+2GijjdIeNgAAAAU2bty4ZLni2HMlLqgSw4lYRTJx4sRw1FFHVUOMWDkyevToTp1j4MCB4bvf/W6yPWXKlGS6zk033ZRsx/v4OG5Hcb8NN9yw1eMccsgh1ak+8br6K1/5SrjrrrvCI488Ev77v/87bLfddmHu3Lmhe/fu4cc//nGbPWS6QrdFixYtatjRaVNM8K655pp294tv6rgc83e+852mjAsAAIByu/3228PIkSOTYKKtcGTChAlJNciSJk2aVJ0qFMOPltNylpxedMQRR4SrrrqqzXEcdthh4bLLLkvCkba8+uqrYc899wyPPvpoq6/37t07CVoOP/zw0EjClZS8/PLLyZsxTv154oknwksvvZQ8F980q666ath0003DrrvuGg4++OC6lnIGAACAWsXVamMVS7xujUsd9+rVKwlT9t1333DMMceEPn36tPpxkzoYrlTccccdSYASw5EYlMQllQcPHpxUyXzhC1/o0Fhjlc3ll1+ezAKJU5ZiQ97YNHe33XZLpi7F6+tGE64AAAAA1EHPFQAAAIA6CFcAAAAA6iBcAQAAAKiDcAUAAACgDsIVAAAAgDoIVwAAAADqIFwBAAAAqINwBQAAAKAOwhUAAACAOghXaNOECRPCGWecEYYPHx4GDRoUVl999dCzZ8+wyiqrhK222iqMHj06PPXUU2kPkyaZOXNmuOSSS8KXv/zlsOGGG4Y+ffqE5ZdfPvTv3z/ss88+4cYbbwzvv/9+2sOkid56661w3333hQsuuCDst99+Yf311w/dunVLbuutt17aw6MLPf/888m/+RtvvHHo27dvWHXVVcPgwYPD+eefH+bNm5f28GiSl19+Ofz2t78N3//+98MXvvCF5PeCys/8qFGj0h4eTTZlypTwwx/+MAwbNiz5XaB3795hxRVXDAMHDgyHHnpoeOCBB9IeIk0yd+7c5PfA+P/EzjvvHAYMGBA+/vGPh169eoU111wzDB06NJx33nnhtddeS3uo0FDdFi1atKixpyCP4kVyDFLaE/eJ/7GefPLJTRkX6TjttNPCWWedFdr75yJebN1yyy1hnXXWadrYSM8uu+wSJk2a1Opr6667bhLIkX+33357GDlyZPLLc2vihVQM4+Mv0xRbDFHacsghh4Tx48c3dTykZ6eddgr3339/u/sdfPDB4fLLL08usimu3//+9+Fzn/tcu/vFQPb6668Pe+yxR1PGBc3Wo+lnJDdi4hyT5n//938Pn/70p0O/fv2SaoUXX3wxuaC66qqrwr/+9a9wyimnhJVXXjkcffTRaQ+ZBpkzZ04SrMS/WI8YMSLstttuSfVKrFyZPn16+PGPfxweffTR5Lb77ruHP/7xj8lfryi2lmFbrGTYeuutw0MPPZRUtFAMU6dODfvvv3+YP39+8jMd/72PoVp8HP9KGS+ann766aTCMf4Ve6WVVkp7yDRJDNFjJdPdd9+d9lBIQfxdMPrUpz4V9t1337Djjjsm74kPPvggTJ48OYwdOza88MIL4dprrw3vvfde+MUvfpH2kGmwtddeO/n/IVa3x+143bBw4cIwe/bs5A9vv/71r8Orr74a/uM//iM88sgj4d/+7d/SHjJ0OZUrtCn+B7nccsu1+fpzzz2X/AP6+uuvhzXWWCO5AF/W/uTXSSedFFZbbbXw9a9/vdWLp/he+epXvxp++ctfJo9/8IMfJGXjFNtll12WvB9ixVKlaiFOB4pTSFSuFOuv0z169EimgG277baLvR6nBZ144onJ9umnn55MJaW44vc4/rzH2yc+8YnkZzxOB4xUrpTLF7/4xaQqJU4Vbu13v3gRvf322yfha3Tvvfcm/55QzmuG6NZbb03+QBfF+xi2QNEIV6hLrFa59NJLk+0nnngibLrppmkPiZTEebTxL1gLFiwIm222WXj88cfTHhIpEK4UR/zLYqxcjI466qjws5/9bKl94l8lP/OZzyQVbLGCMfbk6MiUUopBuMKyxP48e+21V7J97LHHJlWulFusdov9GuP0oFdeeSXt4UCX09CWurSsYnjnnXdSHQvpipUtm2++ebL97LPPpj0coE7xr4wVsTlla7p375789Tp64403wsSJE5s2PiDb4hSRCr8X0PK6wTUDRSVcodPinPvbbrut+gt2bGpIub377rvJvelhkH+VlT5ir6U4BbQtcWWIigcffLApYwPy8ztB5PcCYsXKn/70p2oFCxSRcIWaxKZkf//735NGhtttt1145plnkue/9rWvaWRYcnE6QJwaEMWlu4F8q/w8x346sedKW1r+klz5GIDYZ6XC7wXlNG/evORa4cILL0yC+LgaafTtb3877aFBQ1gtiJrmVLcmLqcWu8JTbrGxZeU/zf322y/t4QB1iCXbsSFl1L9//2Xuu8oqqyTVLW+//XaYNWtWk0YIZFnsx3TOOedUH/u9oDxi76W2ppJGJ598crIIAhSRyhU6LTajuummm8KECRPCxz72sbSHQ4r+8Ic/hIsvvrh6IRZXFQLy680336xud2RZ9RiuRJbhBqKLLrooaYodfelLX1rm1ELKYYsttkjeE2effXbo1q1b2sOBhlC5QrvWWmut8Je//CXZjpUJL7zwQrjzzjvDlVdemawWFJuUnXLKKWkPk5S89NJL4Stf+Ury3oj/WV5zzTWhT58+aQ8LqEPLZoO9evVqd//evXtXe3EB5RanA8XqhGjNNdcMP/3pT9MeEk20zz77hK233rr6f0K8TvjlL38ZfvOb34QDDzww+WNcXMobikjlSs7Fi9l6b+0tnRiX1YxLbcZbTJ2HDx8eLrnkkvDwww8nHz9mzJik5wrleD8s+dft+H6YPXt28jiWAO+6664N/AzJ+nuCYlh++eWr23F59Y42rlxhhRUaOi4g2/7617+GESNGJH9wif+O3HzzzUnAQnmsvPLK1euGwYMHhwMOOCD8+te/Dtdee23429/+Fvbee2+/V1BYwhU6LS67e+aZZybbV199dbj77rvTHhJN/st2/A/yscceSx6fcMIJ4cQTT0x7WEAXaNmgvCNTfWK/lY5OIQKK6bnnngvDhg0Lr7/+erI6UFz8YKeddkp7WGTEQQcdFPbdd9+kH88xxxwT/vnPf6Y9JOhypgXlXFeszNCvX79Of2y8uP7GN76RbN9yyy3Jf6oU//0Q/yIVm9NNnDgxeXz44YcnDW3JnrT/jSCf4l+cV1tttfDaa69VK9PaEi+kKuHK2muv3aQRAlny4osvht133z25jxWPV111VfI7IrQU3xNxilD8PyO2GNDYlqIRruRc2uvEr7HGGtXt559/PtWx0Jz3Q/yLQ/zrw+2335483n///cOll17a8POSz38jyK9NNtkk3H///WHGjBlJoNrWcsxPPvlkddtyq1A+cWWxz33uc8mUjyhOHT/44IPTHhYZ5LqBojMtiLrE5rYVysHL4aijjkpKfaO99torXH/99aF7d/+UQNHssMMOyX38C2Nl+l9bzSsrtt9++6aMDciGf/3rX2GPPfYI06ZNq/Ze++Y3v5n2sMgo1w0UnSsi6hIblVVsttlmqY6FxvvOd74TrrjiimR7t912S77/bf01G8j/ig8Vsa9WW5VssUlhpYnhLrvs0rTxAemaN29e0tT+j3/8Y/L41FNPDSeddFLawyLDXDdQdMIVWnXrrbeGOXPmLHOf++67L/zwhz9MtuMFdlxejeI644wzwkUXXZRsb7fdduG2226rLr8KFM+QIUPCjjvumGxfeeWVYfLkyUvtM3bs2Gpfn+OOOy5ZXQ4ovriKWFwV6MEHH6z+/FcWOaB84uo/caGDZYm/Q95xxx3J9vrrr1/9/wWKpNuiRYsWpT0IsmfUqFHhhhtuSP4iESsUNt100+SvknG5zbhefey3ERtSxb9aRjFkOe2009IeNg0S509/61vfSrbXWmutcNNNN4WPf/zjy/yYjTbayIVWwcVeHA888MBiz8VVo2IT1NgM9YILLljstc9//vPhk5/8ZJNHST2mTp2aTPWZP39+UsI9ZsyYpDolPo7TAy+77LJkv4EDB4YpU6YstsoQxRN/3uPPfcteG9/97neT7fg+ic3Nl/xdgmL68pe/nCyvG+26667h4osvThrZtqVXr17JvxMU03rrrRfefPPN5H0Rp5RusMEGyf8Z8bm//OUv4ec//3k1iIvvhQkTJiQNkKFohCu0Kv5CdM0117S73worrJD8pSJOF6G4hg4dulhfhY4uyRj/s6XYf6k69NBDO7x/XF0qvpfIlximjxw5MsydO7fV1+MFU/xFecCAAU0fG9n83aDCr5jFtawgpTXrrrtumDlzZsPGQ7ri73sdaVDbv3//ZCWp2AAZikizBFp13nnnhZ133jmZ+vPEE0+El156Kbz88stJ49JVV101qWSJf6mI3eAt0wpQXLFx9eOPPx7GjRuXhChxaeb4l8cYpuy7777hmGOOCX369El7mACk5K677kr+f4jVKbG6LV43xCrW+EfYNddcM2yxxRbhi1/8Ythvv/38f0GhqVwBAAAAqIOGtgAAAAB1EK4AAAAA1EG4AgAAAFAH4QoAAABAHYQrAAAAAHUQrgAAAADUQbgCAAAAUAfhCgAAAEAdhCsAAAAAdRCuAAAAANRBuAIAAABQB+EKAAAAQB2EKwAAAAB1EK4AAAAA1EG4AgAAAFAH4QoAAABAHYQrAAAAAHUQrgAAAADUQbgCAAAAUAfhCgAAAEAdhCsAAAAAdRCuAAAAANRBuAIAAABQB+EKAAAAQB2EKwBQMgsXLgz/9m//Frp165bclltuufDXv/61Qx979dVXh+7du1c/duuttw5z585t+JgBALJMuAIAJRPDkQsuuGCxsOXkk09u9+N+9atfhSOOOCIsWrQoebzpppuGu+66K3zsYx9r6HgBALKu26LKb0gAQKnsueee4Xe/+1318X333Rd23HHHVve9++67w1577RUWLFiQPN5ggw3C/fffH/r169e08QIAZJVwBQBKatq0aWHzzTcPH3zwQfJ42223DQ899NBS+8XnPve5z4V58+Ylj/v37x8eeOCBsO666zZ9zAAAWWRaEACU1CabbJJM86mYPHly+M1vfrPYPn/+85/D8OHDq8HKmmuuGX7/+98LVgAAWlC5AgAl9vLLL4cBAwaEN998M3m88cYbhyeeeCJpcvvMM8+EHXbYIdknWmWVVcLEiROTZrgAAHxE5QoAlFisRDnllFOqj5988slw1VVXhVmzZoXdd9+9GqysuOKK4Y477hCsAAC0QuUKAJTcO++8EzbaaKPw97//PXn8qU99Kqy00krhqaeeSh4vv/zyYcKECWHXXXdt91h/+9vfwpQpU8Kjjz6a3D/22GPVqpi4jPOoUaMa/NkAADRfjxTOCQBkSAxPzj777PCf//mfyeMXX3yx+lrPnj3DzTff3KFgpbKKEABA2ZgWBACEAw88MAwePHix57p37x6uu+668MUvfrHm46266qrJCkP77bdfF44SACCbhCsAQNJr5bnnnlvsudjMdv/996/pODfddFN49tlnw2uvvRbuvvvu8PWvf72LRwoAkD3CFQAouRiqxCqTV199dbHn77vvvnDvvffWdKxYqfLpT3+6i0cIAJBtwhUAKLHYXyWuCvTCCy8kj1dYYYXQt2/f6uujR48Oet8DACybcAUASipWqsSKlbjCT6V57S233BK+853vVPeJq/38/Oc/T3GUAADZJ1wBgBKaO3du+PznPx+mTZu2WPPaPffcM3z3u98Na6yxRnXfMWPGhPnz56c4WgCAbBOuAEDJzJs3LwwfPjypSqm49NJLq81rV1pppXDaaadVX5s1a1a46KKLUhkrAEAeCFcAoEQWLFgQRowYER544IHqc+eff344/PDDF9vv6KOPXqwx7TnnnBNefvnlpo4VACAvhCsAUBIffPBBOPDAA5MlkitOPfXUcMIJJyy1b+y/ctZZZ1Ufv/nmm+H0009v2lgBAPJEuAIAJRBX/Pna174Wfv3rX1efO+aYY8KZZ57Z5sfEaUJbbbVV9fHll19e7dECAMBHhCsAUAIxSLn22murjw866KDw4x//eJkf061bt2Q6UMvKl9jsFgCAxQlXAKDgTjnllPA///M/1cf77LNPuOqqq5LwpD277757GDZsWPXxHXfcEX7/+983bKwAAHnUI+0BAACNdfbZZye3zrrrrru6dDwAAEWjcgUAAACgDsIVAAAAgDqYFgQAdJlnn302vPLKK9XHLVcXiq89/PDD1ce9e/cOW265ZdPHCADQ1botimszAgB0gVGjRoVrrrmmQ/uuu+66YebMmQ0fEwBAo5kWBAAAAFAHlSsAAAAAdVC5AgAAAFAH4QoAAABAHYQrAAAAAHUQrgAAAADUQbgCAAAAUAfhCgAAAEAdhCsAAAAAdRCuAAAAANRBuAIAAABQB+EKAAAAQB2EKwAAAAB1EK4AAAAA1EG4AgAAAFAH4QoAAABAHYQrAAAAAHUQrgAAAADUQbgCAAAAUAfhCgAAAEAdhCsAAAAAdRCuAAAAANRBuAIAAAAQOu//A7j6Hrq0jbF3AAAAAElFTkSuQmCC", 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" ] }, "metadata": { "image/png": { "height": 443, "width": 555 } }, "output_type": "display_data" } ], "source": [ "mean = np.array([0, 0])\n", "sigma = np.array([[1.0, 0.92], [0.92, 2.0]])\n", "\n", "N_distribution = MultivariateGaussian(mean, sigma)\n", "\n", "N = 100\n", "x1, x2 = np.meshgrid(np.linspace(-5, 5, N), np.linspace(-5, 5, N))\n", "p = np.zeros((N, N))\n", "for i in range(N):\n", " for j in range(N):\n", " p[i, j] = N_distribution.pdf(np.array([x1[i, j], x2[i, j]]))\n", "\n", "cp = plt.contourf(x1, x2, p, cmap=\"rainbow\")\n", "plt.colorbar(cp)\n", "plt.xlabel(\"$x_1$\", fontsize=14)\n", "plt.ylabel(\"$x_2$\", fontsize=14)\n", "plt.axis([-3, 3, -3, 3])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Maximum likelihood\n", "\n", "Consider we have a data set of observations $\\mathsf{x}=(x_1,\\dots,x_N)^\\text{T}$ drawn independently from a Gaussian distribution. Data points that are drawn independently from the same distribution are said to be *independent and identically distributed*." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 413, "width": 556 } }, "output_type": "display_data" } ], "source": [ "N_distribution = Gaussian(0, 1)\n", "x_sample_data = N_distribution.draw(5)\n", "y_sample_data = [N_distribution.pdf(x) for x in x_sample_data]\n", "\n", "x_space = np.linspace(-5, 5, 100)\n", "y = [N_distribution.pdf(x) for x in x_space]\n", "\n", "plt.scatter(x_sample_data, y_sample_data, label=\"Training data\")\n", "plt.plot(x_space, y, color=\"g\", label=\"$\\\\mathcal{N}(x|0,1)$\")\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because the data are independent, the likelihood function of the univariate Gaussian is as follows,\n", "\n", "$$\n", "p(\\mathsf{x}|\\mu,\\sigma^2) = \\prod_{n=1}^N \\mathcal{N}(x_n|\\mu, \\sigma^2)\n", "$$\n", "\n", "which corresponds to the product of the blue points in the figure above. Therefore, in order to find the unknown parameters $\\mu$ and $\\sigma^2$ is to use the observed data set and find the parameter values that maximize the likelihood function.\n", "\n", "The log likelihood function can be written as follows\n", "\n", "$$\n", "\\begin{aligned}\n", "\\ln p(\\mathsf{x}|\\mu,\\sigma^2) &= \\ln \\Bigg[ \\prod_{n=1}^N \\mathcal{N}(x_n|\\mu, \\sigma^2) \\Bigg] \\\\\n", "&= \\sum_{n=1}^N \\ln\\mathcal{N}(x_n|\\mu, \\sigma^2) \\\\\n", "&\\overset{(1.46)}= \\sum_{n=1}^N \\ln \\bigg(\n", "\\frac{1}{(2\\pi\\sigma^2)^{1/2}}\\exp\\Big\\{-\\frac{1}{2\\sigma^2}(x_n-\\mu)^2\\Big\\} \\bigg) \\\\\n", "&= \\sum_{n=1}^N \\ln \\bigg( \\frac{1}{(2\\pi\\sigma^2)^{1/2}} \\bigg) +\n", "\\sum_{n=1}^N \\ln \\bigg(\\exp\\Big\\{-\\frac{1}{2\\sigma^2}(x_n-\\mu)^2\\Big\\} \\bigg) \\\\\n", "&= N\\ln \\bigg( \\frac{1}{(2\\pi\\sigma^2)^{1/2}} \\bigg) -\n", "\\sum_{n=1}^N \\frac{1}{2\\sigma^2}(x_n-\\mu)^2 \\\\\n", "&= N\\ln1 - N\\ln (2\\pi\\sigma^2)^{1/2} - \\frac{1}{2\\sigma^2} \\sum_{n=1}^N (x_n-\\mu)^2 \\\\\n", "&\\overset{\\ln1=0}= -N\\ln (2\\pi\\sigma^2)^{1/2} - \\frac{1}{2\\sigma^2} \\sum_{n=1}^N (x_n-\\mu)^2 \\\\\n", "&\\overset{\\ln x^y=y\\ln x}= -\\frac{N}{2}\\ln 2\\pi\\sigma^2 - \\frac{1}{2\\sigma^2} \\sum_{n=1}^N (x_n-\\mu)^2 \\\\\n", "&= -\\frac{N}{2}\\ln 2\\pi -\\frac{N}{2}\\ln\\sigma^2 - \\frac{1}{2\\sigma^2} \\sum_{n=1}^N (x_n-\\mu)^2\n", "\\end{aligned}\n", "$$\n", "\n", "In the machine learning literature, the negative log of the likelihood function is called an error function. Since the negative logarithm is a monotonically decreasing function, maximizing the likelihood is equivalent to minimizing the error. The following figure depicts the likelihood of $\\mu$ against $\\sigma^2$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "pycharm": { "is_executing": true } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/7z/xqknp_gj24xcy44d03gqf30w0000gn/T/ipykernel_8080/3934809662.py:8: DeprecationWarning: `product` is deprecated as of NumPy 1.25.0, and will be removed in NumPy 2.0. Please use `prod` instead.\n", " ll[i, j] = Gaussian(mu, var).likelihood_iid(x_sample_data)\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 443, "width": 575 } }, "output_type": "display_data" } ], "source": [ "mu_space = np.linspace(-1, 1, 100)\n", "var_space = np.linspace(0, 2, 100)\n", "mu_mesh, var_mesh = np.meshgrid(mu_space, var_space)\n", "ll = np.zeros((mu_space.size, var_space.size))\n", "\n", "for i, mu in enumerate(mu_space):\n", " for j, var in enumerate(var_space):\n", " ll[i, j] = Gaussian(mu, var).likelihood_iid(x_sample_data)\n", "\n", "cp = plt.contourf(mu_mesh, var_mesh, ll.T, cmap=\"rainbow\")\n", "plt.colorbar(cp)\n", "plt.xlim(-1, 1)\n", "plt.ylim(0, 2)\n", "plt.xlabel(\"$\\\\mu$\", fontsize=14)\n", "plt.ylabel(\"$\\\\sigma^2$\", fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then by maximizing with respect to $\\mu$, we obtain the following solution\n", "\n", "$$\n", "\\begin{aligned}\n", "& \\frac{\\partial \\ln p(\\mathsf{x}|\\mu,\\sigma^2)}{\\partial \\mu} = 0 \\Leftrightarrow \\\\\n", "& \\frac{\\partial}{\\partial \\mu}\n", "\\bigg( \\frac{N}{2}\\ln 2\\pi -\\frac{N}{2}\\ln\\sigma^2 - \\frac{1}{2\\sigma^2} \\sum_{n=1}^N (x_n-\\mu)^2 \\bigg) = 0\n", "\\Leftrightarrow \\\\\n", "& \\frac{\\partial}{\\partial \\mu} \\bigg( \\frac{1}{2\\sigma^2} \\sum_{n=1}^N (x_n-\\mu)^2 \\bigg) = 0 \\Leftrightarrow \\\\\n", "& \\frac{\\partial}{\\partial \\mu} \\sum_{n=1}^N (x_n-\\mu)^2 = 0 \\Leftrightarrow \\\\\n", "& \\sum_{n=1}^N (2\\mu - 2x_n) = 0 \\Leftrightarrow 2\\sum_{n=1}^N (\\mu - x_n) = 0 \\Leftrightarrow \\\\\n", "& N\\mu - \\sum_{n=1}^N x_n = 0 \\Leftrightarrow N\\mu = \\sum_{n=1}^N x_n \\Leftrightarrow \\\\\n", "& \\mu_{ML} = \\frac{1}{N}\\sum_{n=1}^N x_n\n", "\\end{aligned}\n", "$$\n", "\n", "which is the *sample mean* of the observed values $\\mathsf{x}$. In a similar manner, maximizing with respect to $\\sigma^2$, we obtain the maximum likelihood solution for the variance as follows\n", "\n", "$$\n", "\\begin{aligned}\n", "& \\frac{\\partial \\ln p(\\mathsf{x}|\\mu,\\sigma^2)}{\\partial \\sigma^2} = 0 \\Leftrightarrow \\\\\n", "& \\frac{\\partial}{\\partial \\sigma^2}\n", "\\bigg( \\frac{N}{2}\\ln 2\\pi -\\frac{N}{2}\\ln\\sigma^2 - \\frac{1}{2\\sigma^2} \\sum_{n=1}^N (x_n-\\mu)^2 \\bigg) = 0\n", "\\Leftrightarrow \\\\\n", "& \\frac{\\partial}{\\partial \\sigma^2}\n", "\\bigg( -\\frac{1}{2\\sigma^2} \\sum_{n=1}^N (x_n-\\mu)^2 - \\frac{N}{2}\\ln\\sigma^2 \\bigg) = 0\n", "\\Leftrightarrow \\\\\n", "& \\frac{\\partial}{\\partial \\sigma^2} \\bigg(-\\frac{1}{2\\sigma^2} \\sum_{n=1}^N (x_n-\\mu)^2 \\bigg) +\n", "\\frac{\\partial}{\\partial \\sigma^2} \\bigg(-\\frac{N}{2}\\ln\\sigma^2 \\bigg) = 0\n", "\\Leftrightarrow \\\\\n", "& \\frac{\\partial}{\\partial \\sigma^2} \\bigg(-(2\\sigma^2)^{-1} \\sum_{n=1}^N (x_n-\\mu)^2 \\bigg) +\n", "- \\frac{N}{2\\sigma^2} = 0\n", "\\Leftrightarrow \\\\\n", "& \\frac{1}{4\\sigma^4} \\sum_{n=1}^N (x_n-\\mu)^2 - \\frac{N}{2\\sigma^2} = 0\n", "\\Leftrightarrow \\\\\n", "& \\frac{1}{4\\sigma^4} \\sum_{n=1}^N (x_n-\\mu)^2 = \\frac{N}{2\\sigma^2}\n", "\\Leftrightarrow \\\\\n", "& \\sigma_{ML}^2 = \\frac{1}{N} \\sum_{n=1}^N (x_n-\\mu_{ML})^2\n", "\\end{aligned}\n", "$$\n", "\n", "which is the *sample variance* measured with respect to the sample mean $\\mu_{ML}$.\n", "\n", "A problem that arises in the context of our solutions for the maximum likelihood approach is that it systematically underestimates the variance of the Gaussian distribution. This is an example of a phenomenon called bias and is related to the problem of over-fitting encountered in the context of polynomial curve fitting. First note that the maximum likelihood solutions $\\mu_{ML}$ and $\\sigma_{ML}$ are functions of the data set values $x_n$. Now, consider the expectations of these quantities with respect to the data set values, which themselves come from a Gaussian distribution with parameters $\\mu$ and $\\sigma^2$, given by\n", "\n", "$$\n", "\\mathbb{E}[\\mu_{ML}] = \\mathbb{E}\\bigg[ \\frac{1}{N} \\sum_{n=1}^N x_n \\bigg] = \n", "\\frac{1}{N} \\sum_{n=1}^N \\mathbb{E}[x_n] = \\frac{1}{N} N \\mu = \\mu\n", "$$\n", "\n", "and\n", "\n", "$$\n", "\\begin{aligned}\n", "\\mathbb{E}[\\sigma_{ML}^2] &= \\mathbb{E}\\bigg[ \\frac{1}{N} \\sum_{n=1}^N (x_n-\\mu_{ML})^2 \\bigg] \\\\\n", "&= \\frac{1}{N} \\mathbb{E}\\bigg[ \\sum_{n=1}^N (x_n-\\mu_{ML})^2 \\bigg] \\\\\n", "&= \\frac{1}{N} \\mathbb{E}\\bigg[ \\sum_{n=1}^N (x_n^2-2x_n\\mu_{ML}+\\mu_{ML}^2) \\bigg] \\\\\n", "&= \\frac{1}{N} \\Bigg(\n", "\\mathbb{E}\\bigg[ \\sum_{n=1}^N x_n^2 \\bigg] - \n", "\\mathbb{E}\\bigg[ \\sum_{n=1}^N 2x_n\\mu_{ML} \\bigg] +\n", "\\mathbb{E}\\bigg[ \\sum_{n=1}^N \\mu_{ML}^2 \\bigg]\n", "\\Bigg) \\\\\n", "&\\overset{(1.50)}= \\mu^2 + \\sigma^2 - \n", "\\frac{1}{N} \\Bigg(\n", "\\mathbb{E}\\bigg[ \\sum_{n=1}^N 2x_n\\mu_{ML} \\bigg] +\n", "\\mathbb{E}\\bigg[ \\sum_{n=1}^N \\mu_{ML}^2 \\bigg]\n", "\\Bigg) \\\\\n", "&\\overset{(1.55)}= \\mu^2 + \\sigma^2 - \n", "\\frac{2}{N} \\mathbb{E}\\bigg[ \\sum_{n=1}^N x_n\\bigg( \\frac{1}{N}\\sum_{n=1}^N x_n \\bigg) \\bigg] +\n", "\\mathbb{E}\\bigg[ \\bigg( \\frac{1}{N}\\sum_{n=1}^N x_n \\bigg)^2 \\bigg] \\\\\n", "&= \\mu^2 + \\sigma^2 - \n", "\\frac{2}{N^2} \\mathbb{E}\\bigg[ \\sum_{n=1}^N x_n\\bigg( \\sum_{n=1}^N x_n \\bigg) \\bigg] +\n", "\\frac{1}{N^2} \\mathbb{E}\\bigg[ \\bigg( \\sum_{n=1}^N x_n \\bigg)^2 \\bigg] \\\\\n", "&= \\mu^2 + \\sigma^2 - \n", "\\frac{2}{N^2} \\mathbb{E}\\bigg[ \\bigg( \\sum_{n=1}^N x_n \\bigg)^2 \\bigg] +\n", "\\frac{1}{N^2} \\mathbb{E}\\bigg[ \\bigg( \\sum_{n=1}^N x_n \\bigg)^2 \\bigg] \\\\\n", "&= \\mu^2 + \\sigma^2 - \n", "\\frac{1}{N^2} \\mathbb{E}\\bigg[ \\bigg( \\sum_{n=1}^N x_n \\bigg)^2 \\bigg] \\\\\n", "&= \\mu^2 + \\sigma^2 - \\frac{1}{N^2}(N^2\\mu^2 + N\\sigma^2)) \\\\\n", "&= \\mu^2 + \\sigma^2 - \\mu^2 + \\frac{1}{N}\\sigma^2 \\\\\n", "&= \\frac{N-1}{N}\\sigma^2 \\\\\n", "\\end{aligned}\n", "$$\n", "\n", "Therefore, on average the maximum likelihood estimate obtains the correct mean but it underestimates the true variance by a factor $(N − 1)/N$. The estimate for the unbiased variance parameter is given by\n", "\n", "$$\n", "\\tilde{\\sigma}^2 = \\frac{N}{N-1}\\sigma_{ML}^2 = \\frac{1}{N-1} \\sum_{n=1}^N (x_n-\\mu_{ML})^2\n", "$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 437, "width": 930 } }, "output_type": "display_data" } ], "source": [ "N_distribution.ml(x_sample_data, unbiased=False)\n", "y_biased = [N_distribution.pdf(x) for x in x_space]\n", "N_distribution.ml(x_sample_data, unbiased=True)\n", "y_unbiased = [N_distribution.pdf(x) for x in x_space]\n", "\n", "plt.plot(x_space, y, color=\"g\", label=\"True Gaussian distribution\")\n", "plt.plot(x_space, y_biased, color=\"r\", ls=\":\", label=\"Biased maximum likelihood\")\n", "plt.plot(x_space, y_unbiased, color=\"b\", ls=\":\", label=\"Unbiased maximum likelihood\")\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.legend(bbox_to_anchor=(1, 0.7), loc=2, borderaxespad=1, fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2.5 Curve fitting re-visited\n", "\n", "Now, lets return to the curve fitting example and examine it from a probabilistic perspective, thereby gaining some insights into error functions and regularization, as well as, taking us towards a full Bayesian treatment. We shall assume that, the target variable $t$ has a Gaussian distribution having mean equal to $y(x,\\mathbf{w})$ of the polynomial curve, given by\n", "\n", "$$\n", "p(t|x,\\mathbf{w},\\beta) = \\mathcal{N}(t|y(x,\\mathbf{w}),\\beta^{-1})\n", "$$\n", "\n", "where we have defined $\\beta$ to be the precision parameter, corresponding to the inverse variance.\n", "\n", "\n", "\n", "Each input point $x$ defines a Gaussian distribution located into prediction of $y(x,\\mathbf{w})$. We plot the Gaussian distribution heatmap of the values of $x$ against $t$. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "pycharm": { "is_executing": true } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 443, "width": 568 } }, "output_type": "display_data" } ], "source": [ "x_sample, t_sample = generate_toy_data(sin, 50, 0.3)\n", "\n", "feature = PolynomialFeature(4)\n", "x_features = feature.transform(x_sample)\n", "model = LinearRegression()\n", "model.fit(x_features, t_sample)\n", "\n", "x_space = np.arange(0, 1, 0.01)\n", "t_space = np.arange(-2, 2, 0.01)\n", "X, Y = np.meshgrid(x_space, t_space)\n", "Z = np.zeros((x_space.size, t_space.size))\n", "for i, x in enumerate(x_space):\n", " # create the Gaussian distribution for a given input value\n", " predicted_mu, _ = model.predict(feature.transform(x))\n", " g = Gaussian(predicted_mu[0], 0.3)\n", " for j, t in enumerate(t_space):\n", " # compute the value of the Gaussian for each target value\n", " Z[i, j] = g.pdf(t)\n", "\n", "cp = plt.contourf(X, Y, Z.T.reshape(X.shape), cmap=\"rainbow\", levels=40)\n", "plt.scatter(x_sample, t_sample, color=\"snow\")\n", "plt.xlim(0, 1)\n", "plt.ylim(-2, 2)\n", "plt.xlabel(\"$x$\", fontsize=14)\n", "plt.ylabel(\"$t$\", fontsize=14)\n", "plt.colorbar(cp)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Then, we can use the training data $\\mathsf{x,t}$ to determine the values of the unknown parameters $\\mathbf{w},\\beta$ by maximum likelihood. Assuming the data are i.i.d, the likelihood function is given by\n", "\n", "$$\n", "p(\\mathsf{t}|\\mathsf{x},\\mathbf{w},\\beta) = \\prod_{n=1}^N \\mathcal{N}(t_n|y(x,\\mathbf{w}),\\beta^{-1})\n", "$$\n", "\n", "Similar to the Gaussian distribution earlier, we maximize the logarithm of the likelihood function in the form\n", "\n", "$$\n", "\\ln p(\\mathsf{t}|\\mathsf{x},\\mathbf{w},\\beta) =\n", "-\\frac{\\beta}{2}\\sum_{n=1}^N (y(x,\\mathbf{w}) - t_n)^2 + \\frac{N}{2}\\ln\\beta - \\frac{N}{2}\\ln2\\pi\n", "$$\n", "\n", "For determining the maximum likelihood solution for the polynomial coefficients $\\mathbf{w}_{ML}$, we can omit the terms that do not depend on $\\mathbf{w}$. Since the $\\beta$ does not alter the location of the function it can be replaced by $1$. Therefore, the maximization is equivalent to minimizing the *sum of squares error function*, as presented the [polynomial curve fitting example](#Error-Function). The sum of squares error function has arisen as a consequence of maximizing the likelihood under the assumption of a Gaussian noise distribution!\n", "\n", "As a final step, we can also use maximum likelihood to determine the precision parameter $\\beta$, as follows:\n", "\n", "$$\n", "\\begin{aligned}\n", "& \\frac{\\partial}{\\partial\\beta} \\ln p(\\mathsf{t}|\\mathsf{x},\\mathbf{w},\\beta) = 0 \\Leftrightarrow \\\\\n", "& \\frac{\\partial}{\\partial\\beta}\n", "\\Big [\n", "-\\frac{\\beta}{2}\\sum_{n=1}^N (y(x,\\mathbf{w}) - t_n)^2 + \\frac{N}{2}\\ln\\beta - \\frac{N}{2}\\ln2\\pi\n", "\\Big ] = 0\n", "\\Leftrightarrow \\\\\n", "& \\frac{\\partial}{\\partial\\beta}\n", "\\Big [\n", "-\\frac{\\beta}{2}\\sum_{n=1}^N (y(x,\\mathbf{w}) - t_n)^2\n", "\\Big ] +\n", "\\frac{\\partial}{\\partial\\beta}\n", "\\Big [\n", "\\frac{N}{2}\\ln\\beta\n", "\\Big ] = 0\n", "\\Leftrightarrow \\\\\n", "& -\\frac{1}{2}\\sum_{n=1}^N (y(x,\\mathbf{w}) - t_n)^2 + \\frac{N}{2}\\frac{1}{\\beta} = 0\n", "\\Leftrightarrow \\\\\n", "& \\sum_{n=1}^N (y(x,\\mathbf{w}) - t_n)^2 = \\frac{N}{\\beta}\n", "\\Leftrightarrow \\\\\n", "& \\frac{1}{\\beta_{ML}} = \\frac{1}{N}\\sum_{n=1}^N (y(x,\\mathbf{w}) - t_n)^2\n", "\\end{aligned}\n", "$$\n", "\n", "Since we have a probabilistc model, we can use the predictive distribution that gives the probability distribution over $t$, rather than a simple point estimate.\n", "\n", "$$\n", "p(t|x,\\mathbf{w}_{ML},\\beta_{ML}) = \\mathcal{N}(t|y(x,\\mathbf{w}_{ML}),\\beta_{ML}^{-1})\n", "$$\n", "\n", "We can further introduce a prior distribution over the polynomial coefficients $\\mathbf{w}$, in order to take a step towards a more Bayesian approach. Consider for instance a Gaussian prior of the form\n", "\n", "$$\n", "p(\\mathbf{w}|\\alpha) = \\mathcal{N}(\\mathbf{w}|\\mathbf{0},\\alpha^{-1}\\mathbf{I}) = \\Big(\\frac{\\alpha}{2\\pi}^{(M+1)/2}\\Big)\\exp\\Big\\{-\\frac{\\alpha}{2}\\mathbf{w}^{\\text{T}}\\mathbf{w}\\Big\\}\n", "$$\n", "\n", "where $\\alpha$ is the precision of the multivariate Gaussian, and $M$ is the order of the polynomial, that is, the dimension of the paremeter vector $\\mathbf{w}$. Then from the Bayes theorem we have that\n", "\n", "$$\n", "p(\\mathbf{w}|\\mathsf{x},\\mathsf{t},\\alpha,\\beta) \\propto p(\\mathsf{t}|\\mathsf{x},\\mathbf{w},\\beta) p(\\mathbf{w}|\\alpha)\n", "$$\n", "\n", "Therefore, we can determine $\\mathbf{w}$, by maximizing the posterior distribution. This technique is known as *maximum posterior* or MAP inference. The maximum of the posterior is given by the minimum of the negative logarithm, which it can be proved to be\n", "\n", "$$\n", "\\frac{\\beta}{2}\\sum_{n=1}^N (y(x,\\mathbf{w}) - t_n)^2 + \\frac{\\alpha}{2}\\mathbf{w}^{\\text{T}}\\mathbf{w}\n", "$$\n", "\n", "Thus we see that maximizing the posterior distribution is equivalent to minimizing the regularized sum of squared error function encountered in [Regularization](#Regularization), where $\\lambda=\\alpha/\\beta$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1.6 Information Theory\n", "\n", "*How much information is received when we observe a specific variable?*\n", "\n", "Consider for instance the event of seeing an alien spaceship appearing in the sky. We have never seen one and we would be extremely surprised if one day such an event occured, since it is unexpected given our current knowledge. Therefore, the amount of information can be viewed as the *degree of surprise* on learning the value of $x$. The measure of information content is therefore depend on the probability distribution $p(x)$ and in particular is given by the logarithm of $p(x)$ as follows,\n", "\n", "$$\n", "\\text{h}(x)=-\\log_2p(x)\n", "$$\n", "\n", "where the negative sign ensures that $h(x) \\geq 0$. When the base of the logarithm is $2$ the units of $h(x)$ are **bits**." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 437, "width": 559 } }, "output_type": "display_data" } ], "source": [ "def h(prob: float) -> float:\n", " if not 0 <= prob <= 1:\n", " raise ValueError(\"Probability should be [0,1].\")\n", " elif prob == 0:\n", " return float(\"-inf\")\n", " else:\n", " return -math.log2(prob)\n", "\n", "\n", "px_space = np.linspace(0, 1, 100)\n", "y = [h(px) for px in px_space]\n", "\n", "plt.plot(px_space, y)\n", "plt.xlabel(\"Probability of event x\", fontsize=14)\n", "plt.ylabel(\"Information content (bits)\", fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The average amount of information is obtained by taking the expectation over the information content, given by,\n", "\n", "$$\n", "\\text{H}[x] = -\\sum_{x} p(x)h(x) = -\\sum_{x} p(x)\\log_2 p(x)\n", "$$\n", "\n", "This important quantity is called *entropy* of the random variable $X$. Consider a discrete random variable $X$ having two possible values $x_1$ and $x_2$ with probabilities $p$ and $1-p$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "pycharm": { "is_executing": true, "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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5+kEtpFmgl0XrBADYrgSOaKEhEfAAAGprd0KGvLf8kPy599Q5HxfVSO12aCFX9okUX3Y7wIaczi6QbzbEydwNx7TrZ+Pq7CSX94qQ20e0lhaNfSxaIwDA9hDwoEER8AAAamrrsTR5759Dsvxg8jkf179lI61fyeiOoYw3h82PW1ej1lVfqQMns876OPWf+eQe4XLnyNbSJoRdagCA6tGDBwAAGEZ9JrQhJlXbsbP2cMpZH+fm4iQTuzWTG4e0pGky7GrcutqBpnruqB48ajLcsgNJVSbDqcnrv2w/Lr/uOC7jujSVu0a2ZfIWAMAiCHgAAMB5g51Vh05rO3Y2x6adsxfJjIEtZMbA5hLi72nRGgFLNmUe1LqxdlHj1eesPSrfb46v0ntKBT+Ld5/ULhd1DJG7RrWVHpGBhtUNALB/HNGCGUe0AAAVqV8R1hw+La//eVB2JmSc9XGNfNzl5qEtZfqA5uLn6WbRGgFroCbGfbo6RuvTk1tYfNbHDWvXRB4c2166RrCzDQAcXQJHtAAAgCXsiE+X//xxQNYdOftRrBA/D7l1WCttIhZjzuHImvh5yKPjO8ptw1trO3rmrIuVrHxTlcetik7WLhO6hsl9Y9tJ6ya+htQLALBP7OCBGTt4AACHk7Lk9T+j5Y+9J8/6mPBAL7lteCutH4mnm4tF6wNsQUZekcxdHyufrjkq6blF1T5GNR2/qk+E3DO6nTQN4EgjADiaBKZooSER8ACA40pMz5P/Lo2Wn7YmaE1iq9M82FvuHNFGpvQMF3dXZ0uXCNicnAKTfLPxmMxedfSsI9Y9XJ1l5qAW2nj1QG93i9cIADAGAQ8aFAEPADietJxCeX/5YflqwzEprNQktkxYgKf830XtZGqvcHF1IdgBaiuvsFi+XB8rHyw/LJnVHN1S/DxdtSNeNwxuwZFHAHAACQQ8aEgEPADgOApMxTJnbay8/89hySqo/g1noLebtmNn+sDmHMUC6kFGbpF8vOqIfL72qOQXlZy1n8+DF7eXK3pFiLOzk8VrBABYBgEPGhQBDwDYP/XP/tL9SfLCon1yLCW32sd4ubloU7FuGdZK/JmKBdS7pMx8eeefQzJvU7yYznImsmt4gDwzqZP0bt7I4vUBABoeAQ8aFAEPANi3Q6ey5Lnf98nqQ6ervd/NxUn+1S9K7hrVVttFAKBhxZ7OkTf+jpaFOxPP+pjJPZrJI+M6SFiAl0VrAwA0LAIeNCgCHgCw32Mhby2NlrkbjknxWXYLTOnRTO4b016igr0tXh/g6PYcz5D//HlQG6F+tl11qgnzrcNacVwSAOxEQgO8/6aDGwAAdspUXCLfbY6XN/86KGlnGdXcKypQnp7YWbpHBlq8PgBndAkPkK9u7CfLDybJ87/vk5jkHN39eUXF8ubf0fL95nh5fEJHGdelqTg50Z8HAKBHwAMAgB3aGJMiTy/YKwdOZlV7f6i/hzw6rqN2/IM3ioB1GNk+RIa0aSxfrT8m/10aLVmVJm4dT8+TO77ZJv1bNpLnJneR9k39DKsVAGB9CHgAALAj6bmF8vLiA/L9lvhq73d3dZZZw1pp45h9PPg1ALA2bi7OctOQltqxSdWfZ96mOKl8snLj0VSZ8M5q7cjWv0e35dgWAEDDb3YAANgB1VLv1x3H5YXf90tKTmG1jxnftam2ayeyEX12AGsX7OshL13WVa7tHyXPLdynhToVqelbH6w4Ir/vOiHPT+kiw9s1MaxWAIB1IOABAMDGHT2dI0/8ulvWHk6p9v4OTf20PjsDWwdbvDYAF6ZzswCZd+sAWbLnpLy4aL92TKuiuNRcuf7zTTKpezN58tJOTMADAAdGwAMAgI0qMBXL7JUx8u7yw1JoKqlyv4+7izx4cXuZPrCFuDjTZwewVapP1viuYTKqQ4i8989h+XjVESkq1p/bWrAzUVYcTJJHx3eUq/tEijN/5gHA4TgbXQAAAKi9TVoPjjVaj47qwp2LO4fK0vuHy8zBLQl3ADuheu08cHF7WfTvodKneVCV+zPzTfLo/N1y1cfrJfpU9Q3WAQD2i4AHAAAbkl1Q/gbucFJ2lfubBXjKJzP6yMfT+0hYgJchNQJoWO1C/eSHWQPllaldxd+z6ob8LcfSZPzbq7XR6tUFwAAA+0TAAwCAjVh7+LRc/NYq+W5TXJX71CYdNXnn7/uGy5hOoYbUB8By1BGsaf2iZNn9I7SJW5WpJszvLDskU95fK/sSMw2pEQBgWQQ8AABYuZwCkzz56x659tONVRqsKl3DA2TBXUO0BquMPgcci2qq/N9pPWXuTf2keXDVCXn7TmTK5PfXyLvLDklRMbt5AMCeEfAAAGDFNsSkyCVvr5K5G45Vuc/b3UWenthJfr1zsHQJDzCkPgDWYWjbJvLnvcPkzpGtxbVS3y3VkFn165r6wTo5eJLePABgrwh4AACwQnmFxfLswr0ybfYGiU+tumtnQKtG2pu5G2iiDKBCE+YHL+6ghb7tQ/2q3L/7eIZMfHeNfLDisJjYzQMAdoeABwAAK7MlNlXGvb1K5qyNrXKfl5uLPDups3x78wCJbFT1OAYAqB19C+4erO3mqZz/FhaXyH/+OCiXf6QatbObBwDsCQEPAABWQk27eXnxfrny4/USm5Jb5f6+LYJkyT1D5fpBLbQGqwBwNh6uZ3bz/HLHYGkT4lvl/p3x6TL+nTXy6eoYKSkpNaRGAED9IuABAMAKxCRny9QP18rHq2KktNJ7LQ9XZ3liQkeZd+tAadHYx6gSAdig7pGB8vvdQ2TW8FZVd/OYSuSFRfvlhi82S3JWgVElAgDqCQEPAAAGKi0tlR+2xMul766RPcerjjLuGRUoi+8ZKjcPbUWvHQB17s3z6LiO8uNtg6RlNSHxyuhk7VjoioNJhtQHAKgfBDwAABgkI69I7vpuuzz00y7JLSzW3efu4iyPjOsgP902SFo3qXq8AgBqq3fzIFn876Fy4+CWVe47nV0oM+dslucW7pMCk/7vIwCAbSDgAQDAoEbK499eLYt2nahyn+qXoabg3Da8Nbt2ANQrL3cXeWpiJ/n6pv4S4udR5f7P1x6Vy95fJ4eTsg2pDwBQdwQ8AABYkBpN/N+l0XLVx+vleHrV8ef/6h8lC+8aIp2a+RtSHwDHMKRtY61p+0UdQ6rct+9EpjZOfd6mOO0YKQDANhDwAABgIQlpuXLNJxvkv0sPSeWhNQFebvLRdb3kpcu6ap+wA0BDC/b1kE9m9JHnJncWd1f924K8omJ5ZP5uufPbbZKRW2RYjQCAmiPgAQDAAv45cEomvLNGNsemVbmvf8tG8se9Q+WSLmGG1AbAcTk5OcmMgS1kwV2DpV1o1X5fi3eflPHvrNbGqgMArBsBDwAADai4pFRe+/OA3PjFFq2pckWqv86DF7eXb28ZIGEBXobVCAAdmvrLgruGyPQBzavcp46TXvnRepm74RhHtgDAihHwAADQQJKzCmT6Zxvl/eVHqtwX2chLfrxtoNw5sg2NlAFYzTj156d0kdnTe0ugt5vuvsLiEnny1z3yf9/vkNxCk2E1AgDOjoAHAIAGmpJ16burZd2RlCr3TegWJov+PVR6RQUZUhsAnMvYzk3lj3uGSb8Wjarc9+uORJny/lo5ksyULQCwNgQ8AADUI3V84dPVMTJt9gY5lVmgu8/V2UmenthJ3rump/h76j8dBwBr0jTAU769pb/MGtaqyn3Rp7Jl0rtrZNGuE4bUBgCoHgEPAAD1JCu/SJs488Ki/WKqNCYrLMBTvp81UG4Y3FJragoA1s7VxVkeHd9RPp7eW/w8XHX35RQWa3/fPbtwrxSaSgyrEQBQjoAHAIB6cOBkpkx+b602caayIW0ay+93D5HezTmSBcD2XNy5qSy8e4h0aOpX5b45a2Nl2uz1ciIjz5DaAADlCHgAALhA6pjCZe+vk5jTOVXu+/eoNvLljf0k2NfDkNoAoD60aOwjv945WK7sHVHlvm1x6XLpO2tkc2yqIbUBAM4g4AEAoI5KSkrlzb+jtWMKeUXFuvvUBJo5N/SV+8a2Z0oWALuZsvXald3l1cu7irur/m1ESk6h/OuTDTJvU5xh9QGAoyPgAQCgDnIKTHL7N1vlnWWHqtzXLSJAO5I1sn2IIbUBQEO6um+UzL99kEQ28tKtFxWXyiPzd8szC/ZKUTF9eQDA0gh4AACopfjUXLn8w3Xy595TVe6b1jdSfrxtoEQEeRtSGwBYQpfwAPn9rqEyon2TKvd9sS5Wrv98k6TlFBpSGwA4KgIeAABqYf2RFJn03ho5cDJLt66OYT07qbO8PLWreLi6GFYfAFhKgLebfHZ932pHqa87kiKT318r0af0f1cCABoOAQ8AADU0d8Mxmf7ZRknLLarSb2fujf3k+kEtGIEOwKGocFuNUn/r6u5V+vLEpebKZe+vlaX7qu52BADUPwIeAADOQ/WSePyX3fLkr3vEVFKqu69tiK/8dudgGdSmsWH1AYDRLusZIT/MGighfvqJgTmFxXLL3C3y/vLDUlqq//sTAFC/CHgAADgH1UPiuk83yjcbq06GuahjiMy/Y5A0D/YxpDYAsCY9IgNl4d1DpHtEgG5d5Tqv/XlQ/j1vh+RXmjgIAKg/BDwAAJzFsZQcrZnyxqOpVe67c2RrmT29j/h5uhlSGwBYo1B/T/l+1kC5rGd4lfsW7kyUaz/dKKk0XwaABkHAAwBANbbFpcllH6yTmNM5unUPV2d555qe8uDFHcTZmX47AFCZp5uLvHlVd3l0XAep3JZs67E0LTiPrfR3KwDgwhHwAABQyR97Tsg1szdU+ZS5qb+n/HTbIJnUvZlhtQGALVAN52cNby2fX99X/DxcdfcdPZ0jl32wVrYeq7o7EgBQdwQ8AAD8j2oA+unqGLn9m21SYCrR3dcxzF9+vXOwdK3UWwIAcHYjO4TIj7cPlLAAT926mkZ4zScbZfHuE4bVBgD2hoAHAAARKS4plWcX7pMXFu3XGoJWNKxdE/lh1gBpWukNCgDg/Do0PROQdwrz160Xmkrkzm+3ySerYpiwBQD1gIAHAODwcgtNMmvuVvliXWyV+67pFymfXU8zZQC40ObLP9w2UEa0b6JbV7nOi4v3y1O/7RVTsX7nJACgdgh4AAAOLSkrX6bN3iBL95+qct+DF7eXly7rKm4u/HMJABfK18NVPp3RR/7VP6rKfXM3HNOCdhW4AwDqht9YAQAO60hytkz9YJ3sSsjQrbu7OMvb03rInSPbaI1CAQD1w9XFWV6c0kUeGdehyn3LDiTJ1R9vkOSsAkNqAwBbR8ADAHBIuxLS5cqP1ktCWp5uPcDLTebe1E8m9wg3rDYAsGcqOL9teGt595qeWqBe0e7jGXLlR+skPjXXsPoAwFYR8AAAHM66w6erHYMe2chLfr59kPRvFWxYbQDgKCZ2bybf3NJfAr31Pc5iU3Llio/WycGTWYbVBgC2iIAHAOBQ/thzQmbO2Sw5hcW69e4RATL/9sHSJsTXsNoAwNH0bdFI5t8+SAvYKzqVWSBXfbxeth5LM6w2ALA1BDwAAIcxb1Oc3PHNNimsNKllaNvG8u0tA6SJn4dhtQGAo2rVxFd+vm2QdGjqp1vPyCuS6z7dKCsOJhlWGwDYEgIeAIDdKy0tlQ9XHJFH5u+WklL9fRO6hsmn1/cRHw9Xo8oDAIcX4u8p3986UPo0D9Kt5xUVy81fbpEFOxMNqw0AbAUBDwDA7sOdlxbvl1f/OFDlPjWq951reoqHq4shtQEAygV4qyb3/WVk+ya6dVNJqdwzb7vMXR9rWG0AYAsIeAAAdstUXCIP/rRLPll9tMp9d41so43qdXFmDDoAWAsvdxeZPaOPTOnRTLdeWiry5G975e2lh7TgHgBQFfvRAQB2Kb+oWO76drss3X+qyn1PTOgoNw9tZUhdAIBzc3Nxljev6iGB3u7yxTr9rp23lkZLWm6hPHVpJ3EmoAcAHXbwAADsTm6hSW78YnOVcEft1nnjyu6EOwBg5VR48/TETnLfmHZV7lOhj9qdWVy5qRoAODgCHgCAXckuMGlj0NcdSdGte7g6y8fX9ZbLe0cYVhsAoOacnJzk36PbyvOTO4tTpc06P29LkPt+2KEdxQUAnEHAAwCwG5n5RTLjs42y6Wiqbt3Pw1W+urGfXNQp1LDaAAB1M31gC3l7Wk9xrXQk67cdifLveduliJAHADQEPAAAu5CRWyTTP90o2+LSdeuB3m7y7S0DpH+rYMNqAwBcmEndm8nsGb3F3UX/9mXx7pNyxzfbpMBUbFhtAGAtCHgAADYvNadQrvlkg+xMyNCtN/Jxl29vHiBdIwIMqw0AUD9GdQiVT6/vox25rejvfafktrlbteb6AODICHgAADYtOatArpm9QfadyNStN/b1kHm3DpBOzfwNqw0AUL+GtWsic2b2FS83F9368oPJcvOXWySvkJAHgOMi4AEA2KxTmfkybfZ6OXgqS7fe1N9Tfpg1QNqF+hlWGwCgYQxq01i+vLGf+LjrQ541h0/LDV9skpwCk2G1AYCRCHgAADYpMT1Prv54vRxJztGthwd6yfezBkirJr6G1QYAaFj9WjaSuTf3Fz9PV936hphUuf7zTZKVX2RYbQBgFAIeAIDNiU/Nlatnr5fYlFzdelQjby3caR7sY1htAADL6BUVpPVZC/By061vOZYm1322SWu+DwCOhIAHAGBTjqfnaQ2V41PzdOutGvto4U5EkLdhtQEALEs10f/ulgFaU/2Kdsany4zPN0omO3kAOBACHgCATfXc+dcnGyQhTR/utA3x1RoqhwV4GVYbAMAYqpm++jdANdevSE1WvGHOZsmmJw8AB0HAAwCwmWlZKtw5VulYVoemfvLdrQMkxN/TsNoAAMZSTfXVLs5Qf33Is/VYmtz0xWamawFwCAQ8AACrl5JdINd+uqFKQ2W1c+ebm/tX+dQWAOB4WjfxlW9vqbqTZ+PRVLnlqy2SX0TIA8C+EfAAAKxaem6h1iwz+lR2lZ4739zSX4IJdwAAupCnf5WePGqE+qy5W6XARMgDwH4R8AAArJZqjjnj802y/0Smbr15sLf2KW2IH8eyAABVj2t9fVP/KtO1VkYny53fbJdCU4lhtQFAQyLgAQBYJdUU8/rPN8muhAzdeniglxbuNA0g3AEAnL3xsgp5/DxddetL95+Se+ZtF1MxIQ8A+0PAAwCwOrmFJrlxzmbZHpeuWw8L8NTG4aqQBwCA841Q/+rGfuLroQ95luw5Kff9sFOKS0oNqw0AGgIBDwDAqqgmmDd/uUU2xabq1pv4eWg7d6KCvQ2rDQBgW3pGBcmcG/qKt7uLbn3BzkR5+OddUkLIA8COEPAAAKyG6otw29dbZd2RFN16sI+7fHtzf2nZ2Mew2gAAtqlvi0by6fV9xMNV/9bnp60J8sRve6S0lJAHgH0g4AEAWAX1Ker9P+6UFQeTdeuB3m7y9c39pW2on2G1AQBs26DWjeWTGX3E3UX/9ufbjXHyxl/RhtUFAPWJgAcAYDj16enTC/bKwp2JunV/T1etSWbHMH/DagMA2Idh7ZrIR9N7iZuLk279veWH5dPVMYbVBQD1hYAHAGC4t/6OlrkbjunWVL+EL27sJ13CAwyrCwBgX0Z1CJV3pvUUZ33GIy8s2q8d2QIAW0bAAwAw1Odrjso7/xzWralPVz+e3lt6RQUZVhcAwD6N6xomL13Wtcq6arr8196ThtQEAPWBgAcAYJj52xLkud/36dacnET+e3VPGdq2iWF1AQDs27R+UfLIuA66NTU2/a7vtsv6So3+AcBWEPAAAAyxdN8pefCnXVXWX5zSVSZ0CzOkJgCA47hteGuZNaxVlWmOt3y1RfYczzCsLgCoKwIeAIDFbYxJkTu/3aZ9WlrRgxe3l3/1jzKsLgCAY1G7eK7qE6Fbyy4wyfWfb5KY5GzD6gKAuiDgAQBYlPpU9OYvt0iBqUS3fvOQlnLHiNaG1QUAcDxOTk5aP56LO4fq1lNyCmX6Z5skMT3PsNoAoLYIeAAAFnP0dI7MnLNJsgpMuvUrekfI4xM6ar9oAwBgSa4uzvL2tJ4yqHWwbv14ep5M/2yjpOYUGlYbANQGAQ8AwCKSsvK1X5RPZ+t/UR7TKVRemdqVcAcAYBhPNxeZPaOPdIsI0K0fSc6RG77YLHmFxYbVBgA1RcADAGhwOQUmuemLLZKQpt/qPqBVI3n3mp7ap6cAABjJ18NV5szsK62a+OjWd8any7/nba/SNw4ArA2/UQMAGpSpuETu+nab7K40kaRLuL98MqOP9qkpAADWINjXQ76+qb80C/DUrf+975Q8u3CvlJYS8gCwXgQ8AIAGo34RfvK3vbL8YLJuPbKRl8yZ2U/8PN0Mqw0AgOo0C/SSL2/sJ/6errr1r9Yfk9mrYgyrCwDOh4AHANBgPlhxRL7bFKdbC/R2ky9u6CdN/DwMqwsAgHNpG+qn9eRxr3SE+OUlB2TBzkTD6gKAcyHgAQA0iF+2J8hrfx7Urbm7OsunM/pI6ya+htUFAEBNDGgVLK9f1b3K+gM/7JQNMSmG1AQA50LAAwCod+sOn5aHftqlW1NDst6+uof0adHIsLoAAKiNSd2bySPjOujWCotL5NavtsjhpCzD6gKA6hDwAADq1cGTWTJr7lYpKtY3onxiQicZ1zXMsLoAAKiLWcNayfQBzXVrmfkmuf7zzZKUmW9YXQBQGQEPAKDenMzIl5lzNklWgUm3fsPgFnLTkJaG1QUAQF05OTnJM5M6y0UdQ3Xrx9Pz5MYvN0tOpX/zAMAoBDwAgHqRlV+khTsnMvSfZl7Suam2ewcAAFvl4uwk717TU7pHBurW9xzPlDu/3Sam4hLDagOAMgQ8AIALVlRcInd8s00OnNT3I+jdPEj+O62H9osxAAC2zMvdRT67vo9ENfLWra84mCxP/rZHSkv1R5MBwNIIeAAAF0T9QvvMgr2y+tBp3XrLxj7yyYw+4unmYlhtAADUp8a+HvLljf0kyNtNt/7dpnj5bM1Rw+oCAIWABwBwQb5af0y+2RinWwv2cZcvbugrjXzcDasLAICGoD7A+PT6vuLhqn8r9eLi/bJs/ynD6gIAAp5aOHbsmNx///3SoUMH8fHxkUaNGknfvn3ltddek9zc3Hp5jdjYWHn44Yeld+/eEhgYKG5ubtrrDBo0SJ577jlJSkqql9cBgPqwKjpZnl24V7emfuH99Po+0jzYx7C6AABoSNoR5Kt76NbUCa1/f7ddmyYJAEZwKuWwaI0sXLhQrrvuOsnMzKz2/nbt2smiRYukTZs2dX6NuXPnyqxZsyQvL++sj1Fhz7x582TMmDFS3xISEiQyMlK7Hh8fLxEREfX+GgDsx+GkLLnsg3WSla+fHqKaUE7s3sywugAAsJT3lx+W1/48qFuLCPKSX+8crB3nAgBLvv9mB08NbN++Xa6++mot3PH19ZUXX3xR1q1bJ8uWLZNbbrlFe0x0dLRMmDBBsrLqltivXbtWZs6cqYU7zs7OcsMNN8ivv/4qmzZtkp9++kkmTpyoPS41NVUmT54sMTEx9fozAkBtpOUUyk1fbqkS7twzui3hDgDAYdwxorVM6aH/dy8hLU9um7tVCkzFhtUFwDER8NTAPffcowUvrq6u8tdff8ljjz0mAwcOlFGjRsns2bPlP//5jznkeeONN+r0Gi+//LKUlJwZr/juu+/K559/rgU56gjY5ZdfLgsWLJD77rtPu1/V8uabb9bjTwgANVdoKpHbvt4qx1L0R1MndAvTAh4AAByFk5OTvHJ5N+kZpR+fvuVYmjw6fzeTtQBYFAHPeagdNKtXr9au33TTTVqwU5nqy9OxY0ft+ttvvy1FRUW1fh21I0gJDg6WO+64o9rHPPXUU+br69evr/VrAMCFUr+oPr1gj2w8mqpb7xYRIK9f0V2cGYcOAHAwalrk7Ol9pFmAp259/rbj8vEqdt0DsBwCnvNQx6TKqGNT1VFHqmbMmKFdT09Pl+XLl9f6dQoLC7WvLVu2POtjAgICpHHjxrrHA4Alfb42VhsFW1Gov4c2Dt3LnXHoAADH1MTPQ5us5V3p38JX/zggf+09aVhdABwLAc95rFmzRvuqpmapyVZnM3z4cF0/ndpq37699vXo0aNnfYzqAXT69Gnd4wHAUpYfSJIXF+3TrXm6OcunM/pKqL/+U0sAABxNp2b+8va0nuJUYTOrOqF17/c7ZG9ihpGlAXAQBDznsX//fu2rmo6levCcjRqdXvl7auO2227TvqakpMhHH31U7WOef/75Ko+vbZfuc11OnDhR6+cE4BjUyNe7v9suJZVaCbx1VQ/pGhFgVFkAAFiVMZ1C5eFLyt8XKLmFxXLLl1skKSvfsLoAOIazJxaQ/Px8846Z840sCwoK0nb55OTkaCPOauvGG2/Udgt99dVXcuedd8rWrVtl0qRJEhYWJnFxcdoI9bLjYo8//rhcdNFFtX6NshFsAFAbqdrErM2SXaCfmPXA2HYyrmuYYXUBAGCNZg1rJYdOZcvP2xLMa4kZ+TJr7laZd+sA8XDlSDOAhkHAcw4VR56r8ejnUxbwZGdn1/q1XFxc5Msvv9TGob/00kvy6aefapeKRo4cqU3wqku4AwB1YSoukbu/26aNfK1oco9mcufINobVBQCANU/WemlqFzmWkqNN0yqzPS5dnvp1r7xyeVftMQBQ3wh4zrODp4y7u/t5H+/h4WEeY14X6miX2sGze/fuau9Xk7M+++wzbWJXeHh4rZ//fDuL1BGtfv361fp5Adiv//x5UNYeTtGt9YgMlFcv78YvpwAAnIXapfPx9N4y+f21ug9Jvt8SL90iA+Ta/s0NrQ+AfaIHzzl4epY3Da3J1KqCggLtq5eXV61fS41iVyPYFy5cqIU36kjWyZMntddVwcz7778v3t7eMm/ePC2E2bt3b61fQx0zO9dFHQcDgDILdibK7ErjXdXErNkzemsjYQEAwNkF+6rJWn3Eq9K/mc8s2Ctbj6UaVhcA+0XAcw5+fn7m6zU5dqWOZ9X0OFflYOiaa66RjIwMadq0qWzYsEGuu+46CQ0NFTc3Ny18ueOOO2TVqlVa6JSYmCjXX399HX4iAKiZfYmZ8tBPO3Vr7i7O8uF1vSXEj4lZAADURIem/vLald10a0XFpXLb19vkVCZNlwHULwKec1BhSnBwsHZdTZk6l7S0NHPAU9tmxn/88YccP35cu3733XdrIU91OnfurAU/imrCvHOn/s0XANSH9NxCmfX1FskvKtGtPze5s/SKCjKsLgAAbNGl3ZrJrOGtdGvJWQVy+9dbpdCk/7cWAC4EAc95dOrUSft6+PBhMZn0E2QqOnDggPm66pFTGxXHqvfq1eucj+3du3e1rwkA9aG4pFQbhx6fqu8l9q/+UTKtX5RhdQEAYMseuriDDG3bWLe2LS5dnl1Y+7YLAHA2BDznMWTIEO2r2p2jds2czcqVK83XBw8eXKvXcHUt73V9rhBJKSoqqvb7AKA+vP7XQVl96LRurVdUoDw98UzYDQAAas/F2UnemdZTIoL0vTq/2Rgn8zbFGVYXAPtCwHMeU6ZMMV+fM2dOtY8pKSnRpl8pgYGB2jjz2mjZsqWu2fK5VAySKn4fAFyoRbtOyIcrjujWmvh5aH131DQQAABQd0E+7tpkLU83/Vuwp37bK9vjysepA0BdEfCch5pYNXToUO26GlGuRpVX9sYbb5iPWd1zzz1aY+SKVqxYoY0TVpeZM2dW+f7Ro0drE7KUDz/88Kxj0pcsWSK//PKLdl1N2urRo0c9/IQAIHLwZJY8WKmpspuLk3x4bS8J9aepMgAA9aFzswB59XJ90+XC4hK5/ettWl8eALgQBDw18Pbbb2ujz9XxqbFjx8rLL7+sTbpavny5zJo1Sx566CHtce3atZP777+/1s+vdv088sgj2vWsrCwZNGiQPPbYY9rz79ixQ/78809titakSZO03ULKK6+8Is7O/N8H4MJl5BbJrXO3SG5hsW79qYmdpU+LRobVBQCAPZrcI1xuHqLfiX8yM1/u/GabFBXTdBlA3dHEpQZ69uwp33//vTbBKjMzUwtfKlPhzqJFi3Sj1WvjiSeekNTUVC1MUiPZVYikLpWp3UEvvfSSeZoWAFxoU+V7vt8ux1JydetX9YmQ6/rTVBkAgIbwyLgOsu9Epqw7kmJe2xSbKi/8vk+endzF0NoA2C62gNTQxIkTZdeuXfJ///d/WpijjlSpnTd9+vSRV199VbZv3y5t2rSp8/Or41tvvfWWbN68WW677Tbp0qWLFha5uLhIQECANj3rvvvukz179sgDDzxQrz8bAMf17j+HZMXBZN1a94gAeW5yF+3vJQAAUP9cXZzl3Wt6Snigvunyl+uPyW87jhtWFwDb5lRaWlpqdBGwDgkJCRIZGaldj4+Pl4iICKNLAtCA1hw6LdM/3ygV/xVo7OsuC+4aIs0q/cIJAADq357jGXL5h+ukwFR+NMvb3UUW3DVY2oTU7WQAAMd9/80OHgBwQCcz8uWeedt14Y4a4frev3oR7gAAYCFdwgPkpcu66tZUTzzVdDm30GRYXQBsEwEPADgYU3GJ3P3dNknJKdStP3hxexnQKtiwugAAcESX946Qa/qd+RS/zKGkbHnilz3CYQsAtUHAAwAO5rW/Dsrm2DTd2kUdQ+TWoa0MqwkAAEf29MTO0inMX7c2f/tx+X5zvGE1AbA9BDwA4ECW7jslH6+M0a2pBo+vX9ldnJ1pqgwAgBE83Vzkg2t7iZ+HfsjxUwv2yt7EDMPqAmBbCHgAwEHEp+bK/T/u1K25uThpv1AGersbVhcAABBp0dhH/nNFN91aoalE7vhmm2TmFxlWFwDbQcADAA6gwFQsd367TTLy9L8gPjGhk3SPDDSsLgAAUG5c1zC5YXAL3dqxlFx5+Kdd9OMBcF4EPADgAF5atF92Jei3eE/oFiYzBjY3rCYAAFDVo+M6So9KH74s2XNS5qyNNawmALaBgAcA7NzCnYny5fpjurVWjX3k1cu7iZMTfXcAALAm7q7O8r52fNpNt/7S4v2yLU4/JAEAKiLgAQA7FpOcLY/8vEu35vG/Xxx9KzVyBAAA1kENQHjrqh66NVNJqdz1zTZJyyk0rC4A1o2ABwDsVF5hsdaYMaewWLf+/JQu0rHSKFYAAGBdRnYIkTtGtNatJWbky//9sENKSujHA6AqAh4AsFPP/b5PDpzM0q1d0TtCruoTaVhNAACg5u4b0076t2ykW1txMFlmr44xrCYA1ouABwDs0OLdJ+S7TXG6tfahfvL85C6G1QQAAGrH1cVZ3r2mpzT2ddetv/7nQdkZn25YXQCsEwEPANiZ4+l5VfrueLu7yAfX9RIvdxfD6gIAALUX4u8p70zrKRXnIqh+PP+et12yC0xGlgbAyhDwAIAdMRWXyL3ztktmvv4XvmcndZbWTXwNqwsAANTdoDaNq/TjOZaSK0/9usewmgBYHwIeALAj7/5zWDbH6keoTureTOu9AwAAbNe9F7WTnlGBurX524/L/G0JhtUEwLoQ8ACAndh0NFXe/eeQbi2ykZe8cFkXcaq4rxsAANgcNxdn7aiWn4erbv3JX/dI7Okcw+oCYD0IeADADqTnFmpHsypOTXVxdpK3p/UUf083I0sDAAD1JLKRt7w4tatuLaewWO6Zt10KTSWG1QXAOhDwAICNKy0tlUd+3i2JGflVRqv2igoyrC4AAFD/1NHrKysdvd6ZkCFv/H3QsJoAWAcCHgCwcd9uipM/9p7UrQ1qHSy3Ddc3YwQAAPbhmUmdpVVjH93axytjZPWhZMNqAmA8Ah4AsGHRp7LkuYX7dGtB3m7y1tU9tCNaAADA/vh4uMo71/QUdxf927n7ftgpp7MLDKsLgLEIeADARuUXFcu/v9suBZXO3L92RXcJ9fc0rC4AANDwuoQHyEOXtNetJWcVyAM/7pSSik35ADgMAh4AsFEvLd4vB05m6dZmDmohF3UKNawmAABgOTcObikj2jfRra04mCxz1sUaVhMA4xDwAIAN+nvfKflq/THdWoemfvLIuA6G1QQAACzL2dlJXr+yuzT29dCtv7Jkv+w5nmFYXQCMQcADADZGna1/5OddujVPN2d57189xdPNxbC6AACA5alw582ruuvWiopL5f++36Ed5wbgOAh4AMAGR6Kn5BTq1p+e2FnahPgZVhcAADDOsHZNZNawVrq1Q0nZ8vqfjE4HHAkBDwDYkB+2xMvS/ad0a2M7hcq0vpGG1QQAAIx3/9j20rmZv27t0zVHZd2R04bVBMCyCHgAwEbEpeRWGYne2NddXp7aVZycGIkOAIAjc3d1lreu7qF9reiBH3ZKZn6RYXUBsBwCHgCwAcUlpXLfDzskp1B/lv6Vqd0kuFJjRQAA4JjahfrJQxfrR6cnZuTLMwv2GlYTAMsh4AEAGzB7VYxsOZamW1PHshiJDgAAKo9OH9gqWLc2f9txWbL7hGE1AbAMAh4AsHL7EjPlzb/1TRIjG3nJE5d2MqwmAABgxaPTr+oufh6uuvXHftktSZn5htUFoOER8ACAFVPjTdWYUzXutIxqt/PmVT3Et9IvbgAAAEp4oJc8O7mzbi0tt0ge/nmXNpETgH0i4AEAK/bm39Fy8FSWbm3WsNbSt0Ujw2oCAADW77Ke4TKuS1Pd2vKDyfLdpnjDagLQsAh4AMBKbYhJkU9Wx+jWOob5y/+NaWtYTQAAwDaoCZsvXtZVGlcaxvD87/sk9nSOYXUBaDgEPABghbLyi+T+H3ZKxV3U7i7O8t+re4iHq4uRpQEAABvRyMddXruim24tr6hYm8xpKi4xrC4ADYOABwCs0LML98nx9Dzd2gMXt5P2Tf0MqwkAANiekR1C5F/9o3Rr2+LS5eNV+l3CAGwfAQ8AWJk/9pyUn7Ym6Nb6t2wkNw1pZVhNAADAdj0+vqM0D/bWrb31d7TsOZ5hWE0A6h8BDwBYkdScQnni1926NTUt642ruouLs5NhdQEAANvl4+GqTeCs+KuEqaRUHvhxpxSaOKoF2AsCHgCwIs8s2Cunswt1a09P7CQRQfpP3QAAAGqjd/MguWNEG93agZNZ8t7yw4bVBKB+EfAAgJX4a+9JWbAzUbd2UccQuaJ3hGE1AQAA+/Hv0W21iZwVfbD8sOxN5KgWYA8IeADACqTnFsrjv+7Rrfl7uspLl3XVxpwCAABcKHdXZ22qlmuFs1rqqNaDP+6SIqZqATaPgAcArMBzC/dJclaBbu3piZ0lxN/TsJoAAID96RIeIHeMaK1b23ciUz5cccSwmgDUDwIeADDYsv2nZP7247q1ke2byNRe4YbVBAAA7Nddo9pK+1A/3dq7/xySAyczDasJwIUj4AEAA2XkFcljv+inZvl5uMpLUzmaBQAAGvCo1pXddBM6i4rPHNUycVQLsFkEPABgoBd+3yenMvVHs568tJOEBXgZVhMAALB/3SICZdawVrq13ccz5ONVMYbVBODCEPAAgEGWH0ySH7cm6NaGtWsiV/ZhahYAALDMVK02Ib66tbeXHpLoU1mG1QSg7gh4AMAAmflF8th8/dEsXw9XeZmjWQAAwEI83Vy0qVoVTmpJYXGJPPgTR7UAW0TAAwAGeHnxfjmRka9be2x8RwkP5GgWAACwnJ5RQXLLUP1RrZ3x6fLZmqOG1QSgbgh4AMDCVh9Klu82xevWBrcJlmv6RRpWEwAAcFz/N6adtGrso1t74+9oOZyUbVhNAGqPgAcALCi7wCSP/Kw/muXt7iKvTO3G0SwAAGDcUa0r1e8i5WuFphJ56KedUlxSamRpAGqBgAcALOiVJfvleHqebu3RcR0kspG3YTUBAAD0bt5IbhzcUre2LS5d5qzlqBZgKwh4AMBCNsemytcb4nRrA1o1kmv7NzesJgAAgDIPjG0vLYL1Hzq98Ve0xKfmGlYTgJoj4AEACygwFcujlaZmebm5yH8u7y7OFUdXAAAAGMTL3UX+c0V33VpeUbE88eseKS3lqBZg7Qh4AMACPl4ZU6VR4f1j20lUpU/JAAAAjNSvZSO5bkCUbm1ldLIs3HXCsJoA1AwBDwA0sCPJ2fLeP4d1a13C/WXmoBaG1QQAAHA2D13SQUL8PHRrzy3cK+m5hYbVBOD8CHgAoAGVlJRqR7MKi0vMa+pElpqa5erCX8EAAMD6+Hu6yXOTO+vWTmcXysuLDxhWE4Dz490FADSgH7fGy6ajqbq1m4a0lC7hAYbVBAAAcD4Xd24qYzqF6ta+3xIv64+kGFYTgHMj4AGABpKcVSAvLtqvWwsP9JL/G9POsJoAAABqwsnJSZ6d1Fl83F1064//slvyi4oNqwvA2RHwAEADee73fZKZb9KtvTCli3i7uxpWEwAAQE01C/SSBy9ur1uLOZ0jHyzX9xYEYB0IeACgASw/mCQLdybq1iZ2byYjO4QYVhMAAEBtTR/YQrpHBurWPlx5RA6dyjKsJgDVI+ABgHqWW2iSJ37Zo1vz93SVpy7tZFhNAAAAdeHi7CSvTO0qrmpKxP8UFZ8ZIqGGSQCwHgQ8AFDP3vo7Wo6n5+nWHp/QUZpUGjcKAABgCzqG+cstw1rp1rYcS5PvNscZVhOAqgh4AKAe7TmeIZ+tOapb69+ykVzVJ9KwmgAAAC7UPaPbSvNgb93aK4sPyKnMfMNqAqBnWKfPEydOyObNm2XXrl0SGxsrx48fl+zsbMnPzxcvLy/x9fWV8PBwadGihXTr1k369OkjYWFhRpULAOdlKi6RR+bvkoq7ld1dnOWlqV21SRQAAAC2ytPNRV6c0lWu+2yjeS2rwCTPLtwrH1zb29DaABgQ8KxcuVJ++eUXWbJkiRw+XPvO623atJFx48bJlClTZMSIEQ1SIwDU1RfrYmXP8Uzd2l2j2kjrJr6G1QQAAFBfhrRtLFN7hcv8bcfNa4t3n5S/952SMZ1CDa0NgAUCnlOnTskHH3wgX375pcTHx2trpaXlH2/X5FPtsscfOnRIC4beffddiYiIkJkzZ8rtt98uTZs2bcCfAADOLzE9T974K1q31jbEV24b3tqwmgAAAOrbExM6yfIDSZKWW2Ree/q3PTK4TbB4uxt2QARAQ/bgiYmJkRtuuEGaN28uL7zwgsTFxemCnTJqTV3UkawmTZpowY366uPjY76vuu9RYZF6XnWES73OkSNHGupHAYDzev73fZJXVKxbe3lqV3F3pdUZAACwH4183OXJSpNBEzPy5d1/an9CA0D9qveINTk5WZ544gn54osvxGQyVQlogoKCZPjw4dK3b1+tt0779u21Xjuenp5VnisvL0/rzXPw4EGtV8+WLVu0Y16pqana/eq5CwsL5auvvpJvv/1W29Hz/PPPS0hISH3/WABwViujk2XJnpO6tWv6RUqfFo0MqwkAAKChXNYzXH7amiDrjqSY1z5dHSOX94qQNiEcTQeM4lRa3RaZOnrrrbfkueeek8zMTF2wo3rnXHnllTJ16lTp3fvCG3Bt3bpV5s+fLz/99JN2bKvicS8/Pz955pln5N57773g13E0CQkJEhl5ZtKP2iGldlMBOLcCU7Fc/NYqiU3JNa8FebvJP/ePkCAfd0NrAwAAaCiHk7Jk3Nurpai4/H3foNbB8s3N/RkuARj0/rteAx5nZ2ftD7N6SldXV7nqqqvk1ltvlWHDhklDWb16tXz88cfy448/SlHRmXOgqobiYv1RCZwfAQ9Qe+8uOyRv/K3vvfPK1K4yrV+UYTUBAABYwitLDshHK/WtMt69pqdM7N7MsJoAR37/Xe/NIdzd3eXf//631hPn66+/btBwRxk6dKj2Oqr5snrd6o56AUBDiE/NlfeW68+b94gMlKv6nPmLGgAAwJ7dPaqNhAXo33+9sGifZBeYDKsJcGT1GvCoHjjR0dHy3//+15xEWYp6PfW6ql/P9ddfb9HXBuCYnl24TwpMJebbzk4iL0zpIs7qCgAAgJ3z8XCVpyo1XD6VWSD/rbS7GYANBjyff/65xYOdytTrqzoAoCEt239Klu4/pVu7bkBz6RIeYFhNAAAAlnZJl6YyrF0T3dqcdbFy4GSmYTUBjor5vQBQS/lFxfLMwr26tca+7nL/2PaG1QQAAGAE1f/02Umdxd2l/K1lcUmpPPXr3ioTlQE0LAIeAKilD5YflvjUPN3ao+M6SoCXm2E1AQAAGKVlYx+ZNbyVbm1TbKr8sv24YTUBjoiABwBqIfZ0jny0Mka31q9FI5naK9ywmgAAAIx2x4g2EhHkpVt7afF+ycg7M+kYQMOzmYAnMzNTTp8+bXQZAByY2mb89IK9Ulhc3ljZxdlJnpvSWdueDAAA4Ki83F3kmYmddWunswvlzb8OGlYT4GisOuApLi6Wl156SVq1aiVBQUESGhoqfn5+2pQsNSceACzpz70nZWV0sm5t5qAW0qGpv2E1AQAAWIuLOoXKRR1DdGtzNxyTPcczDKsJcCQWD3hefPFF8fb21i5jx449Z7hz6aWXypNPPimxsbHaJ+fqkpOTI19//bV0795dtm3bZtHaATiu3EKTPLdwn24txM9D7r2orWE1AQAAWJunJ3YWD9fyt5klpSJP/rZHStQVAPYV8Pzwww+Sn58vBQUFctNNN531ca+99pr8+eefWqhT3dGH9PR0mThxomRlZTVwxQAg8u4/hyUxI1+39sSlncTPk8bKAAAAZSIbecudI9vo1rbHpcuPWzmBAdhVwKP66OzZs0e77ubmJhMmTKj2cbm5uVrAo4IddXFxcZErrrhCHnroIRk4cKB53N7Jkye1xwFAQ4pJzpZPV+sbKw9qHSwTu4UZVhMAAIC1unVYK2kR7K1be2XJAcnIpeEyYDcBz65du8w7ctQRK19f32of99tvv0laWpr2WGdnZ1myZIm28+eVV16RtWvXyqxZs7THqfu/+OILS/4IABzQi4v2S1Fx+bZiNxcneW5yFxorAwAAVMPTzUWemaRvuJyWWyRvLztkWE2AI7BowHP06FHz9S5dupz1cQsXLtS+qjdPU6ZMkdGjR+vuV7t2VLNl5fjx47J///4GqxmAY1txMEmWHUjSrd04uKW0Cak+oAYAAIDIiPYhcnHnUN3aV+tj5XASLTYAuwh4Ko45DwnRd1evaMWKFebr//rXv6rcr3b+jBw5UrczCADqW1FxiTz/u76xcmNfD7lrlP5cOQAAAKp6fHwncXcpf8tpKimV537fb265AcCGAx7VW6eMmqJ1tl0+qreOonrvjBkzptrHtW/f3nz91KlT9V4rAMxdf0yOJOfo1h66pD2NlQEAAGogKthbbh7aUre2KjpZlh/U744GYIMBj7u7e7VhT0Wqx07Z8axu3bqdtU+Pj4+P+Xp2dna91wrAsaVkF8hbS6N1a13DA+SKXhGG1QQAAGBr7hjZRkL8PHRrz/++XwpNJYbVBNgriwY8gYGB5uuxsbHnPZ41aNCgsz5XTk5OtcERANSHN/+Olqx8k27tmUmdxNmZxsoAAAA15evhKg9f0kG3dvR0jny5rvr3gwBsJODp0KH8D/bq1aurnL00mUzmBsvKkCFDzvpcSUlJ1QZHAHCh9iVmyneb4nRrk3s0k97NGxlWEwAAgK26rGe4dI/Uv2d7Z9khSc4qMKwmwB5ZNODp1auXeHp6atdPnDghH3/8se5+dTs5Odncf6fy9KyKKjZWbtGiRYPVDMCxqOD5ud/3SkmF/NnLzUUeGaf/5AkAAAA1o3ZAPz2xk24tq8Akb/x10LCaAHtk0YBH9c2ZPHmy9gZKXe6++26ZNWuWzJ49W26//Xa59957td476nLJJZdIcHBwtc+jeu7s2bPHfLtTJ/1fFgBQV3/sOSkbYlJ1a7ePaC1hAV6G1QQAAGDrekUFydSe4bq177fEy57jGYbVBNgbiwY8ygsvvCAeHh5aiFNcXCyffvqpFu6okEfdVsGPs7OzPPnkk2d9jkWLFklRUZF2PSIiQpo1a2bBnwCAvcovKpYXF+/XrYUHesmtw1oZVhMAAIC9eOiSDuLt7mK+rTp2PLtwL2PTAVsNeFq3bi3fffeduTFydX+YX375Zenbt+9Zn2Pu3LnaVxUSjRo1qgGrBeBIPltzVBLS8nRrj43vKJ5u5b+IAAAAoG6aBnjKnSPb6NY2x6bJot0nDKsJsCcWD3iUKVOmyI4dO2TmzJkSGRkpbm5uEhQUpB3L+uOPP+SBBx446/ceOHBAlixZYg6HJk6caMHKAdirkxn58v7yw7q1fi0byfiuTQ2rCQAAwN7cNKSlRATpj76/vPiA5BUWG1YTYC9cjXrh9u3by+eff17r71NHsmJiYsy3w8P15zgBoC7+88cBya3wi4WTk2jNANVOQQAAANQPtTP6iQkd5bavt5nXjqfnyexVMXLPRW0NrQ2wdYbs4LkQvr6+0rx5c/PF1dWwjAqAndgWlybztx/XrU3rGyWdmwUYVhMAAIC9urhzUxnYSj9Q58OVhyUxXX9UHoCdBzwAUJ9KSkrl2YX7dGt+nq7ywNh2htUEAABgz9QO6acmdhLnChul84tK5OUlB4wsC7B5Fg94WrVqpV3UEa0L0bVrV+15VNNmAKirBTsTZWd8um7tntFtJdjXw7CaAAAA7F3HMH/5V/8o3drCnYnazmoANhLwxMbGapejR4/Wy/OoCwDUdSz6a38e1K21auwjMwa2MKwmAAAAR3HfmPbi76lvufHSov2MTQfqiCNaABzWF+titaZ+lceiu7vyVyMAAEBDa+TjLv8erW+svOVYmvy596RhNQG2jHcxABxSWk5hlbHo/Vs2ktEdQwyrCQAAwNFMH9hcIhvpx6a/+sdBKSouMawmwFbZZMCjtuzl5+dr17289H8ZAEBNvPPPIcnKN+nWHp/QkbHoAAAAFuTh6iIPXdxBt3b0dI58uzHOsJoAW2WTAc/BgweluLhYeyMWGBhodDkAbEzs6RyZu/6Ybm1yj2bSLYK/TwAAACzt0m5h0j1S/3vYf5dGS2Z+kWE1AbbI5gKerKwseeKJJ8y3O3bsaGg9AGzPf/48IKaS8uZ97i7O8sDYC5vsBwAAgLpRH9w/Pl7/vi4tt0g+XHHEsJoAW6RvWV5PvvzyS+1yLmoHzqhRo2r8nOrxaWlpEh0dLUVF5Unu6NGjL6hWAI5l67E0Wbxb37jvhsEtJLKRt2E1AQAAOLp+LRvJ2E6h8te+U+a1z9cclesGNJfwQNpyAIYFPGp0+YoVK87Zy0L10Vm5cmWtn1t9X9nzquNZN9544wXVCsBxqL8/Xly0T7cW6O0md4xsY1hNAAAAOOPhcR1k2YEkKf7fTusCU4m88edBefPqHkaXBtgE54Z+M1X5UkaFNNXdf75L2fM2bdpU5s+fLyEhTLwBUDN/7Dkp2+LSdWv/HtVWArzcDKsJAAAAZ7Ru4ivX9o/Srf2y47jsOZ5hWE2AOPoOnhYtWsjw4cOrva/irp2zPaY6bm5u4ufnpz33wIEDZeLEieLh4VEv9QKwf4WmEnn1jwO6tebB3tq2XwAAAFiHe0a3lfnbjkt2wZlpp+oz/pcW75dvbu7PtFPAiIDn+uuv1y7VcXZ21v5guri4yPLlyxvi5QGgim82HpPYlFzdmhrJ6e5qc73mAQAA7Fawr4fcPqK1vPbnQfPauiMpsuJgsozswOkN4FwMeWdT8agWADS0jLwieWfZId1az6hAGd+1qWE1AQAAoHo3Dm4pYQGeujW1i8dUXGJYTYDD7uA5lzlz5ph38gCAJXyw4rA2arOiJyZ0ZJsvAACAFfJyd5H7x7aXB37caV47lJQtP25NkGv66Xv0ADAw4Dnb0S0AaAgJabkyZ22sbu2Szk2ld/NGhtUEAACAc7usZ7h8tuao7D+RaV578+9omdS9mfh4WPxtLGAT2EYDwK698Ve01mC5jKuzkzaCEwAAANbLxdlJHh/fUbeWnFUgn6yOMawmwNoR8ACwW2qk5i/bj+vW1NSslo19DKsJAAAANTOkbWMZ3q6Jbu3jlTGSlJVvWE2ANSPgqYVjx47J/fffLx06dBAfHx9p1KiR9O3bV1577TXJzdVP57lQS5culZkzZ0qbNm201woICJB27drJFVdcIR9++KFkZ2fX6+sB9ug/FaYvKH4ervLv0W0NqwcAAAC18+j4DuJcoW1iXlGxvPfPYSNLAqyWU2k9jrRSo8/NT+zkJCaT6ZyPqQ9ne536tnDhQrnuuuskM7P8DGhFKnxZtGiRFshciLS0NLnhhhvkt99+O+fjtm/fLj169JD6lJCQIJGRkdr1+Ph4iYiIqNfnByxpQ0yKTJu9Qbf24MXt5c6RF/ZnFAAAAJb10E875YctCebbbi5O8s/9IySykbehdQHW9v67XnfwlGVF6uvZcqPKj6mPS0NTYcrVV1+thTu+vr7y4osvyrp162TZsmVyyy23aI+Jjo6WCRMmSFZWVp1fJyMjQ8aMGWMOdy677DL55ptvZMOGDbJ582aZP3++3HPPPQQvwHmovxf+88cB3VoTPw9t5CYAAABsyz0XtRN3l/K3rkXFpfLW39GG1gRYo3pvP16TwMUSoUx9UqFKXl6euLq6yl9//SUDBw403zdq1Chp27atPPTQQ1rI88Ybb8gzzzxTp9e5++67ZevWreLh4SE//PCDTJo0SXd/nz59tNDnrbfekuLi4gv+uQB7tWx/kmyLS9etqaNZauQmAAAAbEt4oJdMH9hcm6pV5pcdx2XW8NbSvqmfobUBdhvwPP300/XyGGuyadMmWb16tXb9pptu0oU7ZVRfnjlz5sj+/fvl7bfflscff1zc3Nxq9Tpr1qyRuXPnatdfeOGFKuFO5WNpKmwCUFVJSam8/pe+905UI2+5us+Z7Y8AAACwPXeMaC3zNsVJTuGZD7rVngH1O98nM/oYXRpgNQh4zuPXX381X1e9carj7OwsM2bMkEcffVTS09Nl+fLlMnbs2Fq9znvvvad9Vc2U77rrrgusGnBcC3YmyoGT+qOS941pJ+6u9JQHAACwVcG+HnLz0Fby9rJD5rW/952SbXFp0isqyNDaAGvBO54a7KxR1CSr3r17n/Vxw4cPN19fu3ZtrV6jsLDQ3HdH9eDx9PTUrqtjWKrZUmxsrOTnMwoQOJ9CU4m8Wek8doemfjKpezPDagIAAED9uHloSwny1p+UeO2PgzbXAgRoKAQ856GOXSlqOta5jkWp0emVv6emdu7caQ5wunbtqjVzvvfee6Vx48YSFRUlLVu21Hb2qPBnxYoVdf5ZAHv3/eY4iUvN1a09MLa9OFecrQkAAACb5OfpVmUi6vqYFFlz+LRhNQHWhEYu56BCl9Onz/xlcb7JVUFBQdoun5ycHG3XTW3s27fPfL2kpERrpnzoUPnWw7JdPkuXLtUmd7388svy8MMPS13GsJ3LiRMnav2cgLXILTTJO/8c1q31igqU0R1DDKsJAAAA9eu6AWeaLZ/IKD/h8NqfB2VIm8Zar1LAkbGD5xwqjjxX49HPRwU8SnZ2dq1eJzU11Xz91Vdf1cKdSy65RGvwrEKmpKQk+fDDD7VdPGr74SOPPGI+0lUbkZGR57z069ev1s8JWIsv1sVKclaBbu2hSzrwDz0AAIAd8XRzkXtGt9Wt7UrIkD/2nDSsJsBaWMUOHhViqJ0pGzdu1HazpKWlaSGJClXUzphOnTpJ//79ZfTo0eb+NJaqq4y7u/t5H6/GmytqpHptqF0/FV9THcX6/fffxcXlzEjnJk2ayG233SZdunTRev2oXT6qobOatMWbV0AkI7dIPlpxRLc2rF0TGdAq2LCaAAAA0DCu6B0hs1fFSMzp8vdRaqLWmE6h4urCHgY4LkMDnpSUFHn++eflq6++koyMjLM+7pdfftG+qh0s119/vTzxxBMSHNzwb9wqhknqiNT5FBSc2T3g5eVV59cp28VTFu5UNGTIEJk6dar89NNPWp+f3bt3S7du3Wr8Ouc7OqaOaLGLB7bo41VHJDPfpFt76OL2htUDAACAhqNCnPvGtpO7vt1uXjuSnCPztx+Xq/pEGlobYCTD4k11xEjtzHn33Xe10eLn63yu7lePe+edd7TvW7BgQYPX6OfnZ75ek2NXZTtxanKc62yvo3br9OzZ86yPvfjii83XN2/eXKvXUX2EznUJCwur1fMB1iApK1/mrI3VrU3oGiZdwgMMqwkAAAANa3yXMOnczF+39vbSQ1JgKjasJsAhA56vv/5arrjiCklOTtaCm7JjRmXX1U6dZs2aaV/V7bLwp+xx6vsuv/xy+eabbxq0TrWzpmyn0PkaFKtjZWUBj+pnUxsVH3++Zs4VH6v+dwAc3Xv/HJa8ovJ/yF2cnbRPdAAAAGC/1JTUByvt2D6eniffbIgzrCbA4QKePXv2yE033STFxcXmwKZp06by+OOPaz141E4Z1XRYHSdSX1VoopoNq/vVDpOyEEh9/4033ih79+5t0HrVbiHl8OHDYjLpj4BUdODAAfP1jh071uo1OnfubL6ufq5zqXj/uca2A44gPjVXvtuk/0f8il4R0rpJ7XbRAQAAwPYMb9dE+rVspFt7f/lhyS44+/s2wJ5ZPOC55557pKioyLwz5+abb5aDBw9qvXj69u1bpR+Nalysxoar+9Xjbr31VnPIo55HPV9DUn1vFBU0bd269ayPW7lypfn64MGDa/UazZs3l6ioKO16bGzsOY+rHTlS3kg2PDy8Vq8D2Ju3/o6WouLyPy/urs5yz0X6qQoAAACwT+o94cOX6HfxpOQUymerjxpWE+AwAY865rRixQrzzh0V1syePbvGPWvUGPKPPvpIZs2aZQ5B1POd7/jUhZgyZYr5+pw5c6p9jJpqpRpFK4GBgTJy5Mhav446cqZkZmZqE8XOZv78+VXCJ8ARHTyZJb/sOK5bmzGguTQLrF2TcwAAANiu3s0byUUdQ3Rrn6yOkdSc8w/JAeyNRQOeNWvWaMGMuqj+Om+++WadnueNN97QghRFPZd63oaipkoNHTpUu/7ZZ5/J+vXrq61HTbVS1I4iNzc33f1loZa6zJw5s9rXuffee827l+677z4t6Kmud5F6LmXChAm17vUD2JP/Lo2WipvdfD1c5Y6RbYwsCQAAAAZ44OL28r89BBp1REuFPICjsWjAc/z4mU/bVdAxbtw48fb2rtPzqO8bP368+XZiYqI0pLffflsbfa568IwdO1Zefvll2bBhgyxfvlzbTfTQQw9pj2vXrp3cf//9dXoNdUTrueee066r8ecqWFI7htSxMPU6d999tzkc8vf3l7feeqsef0LAtuxLzJQle07q1m4a0lIa+bgbVhMAAACM0aGpv0zu3ky39uW6WEnJLjCsJsAIFu3SW7EpcKtWrS7ouVq2bGm+7uLiIg1JjS3//vvv5brrrtN21jz22GNVHqPCnUWLFulGntfWgw8+qDWWfvXVV7V+Q6qJdGUhISHy66+/Stu29BmB43p7WbTutr+nq9w0tPzvBAAAADiWf49uKwt2JkrJ/3Z45xYWy+zVMfLouNoNwAFsmUV38FQcAZ6Xl3dBz1Xx+y3RbHjixImya9cu+b//+z8tzFG7iNQxMdUAWgUy27dvlzZtLvx4iNodtHbtWpk+fbq0aNFCazKtjrOpBtSq0XR0dLQMHDiwXn4mwBbtTcyQP/ee0q3dMrSV+Hvqj0YCAADAcbRq4itTeurfF3617picZhcPHIhFd/CoMKSswfK2bdsu6LnKvl89nwo/LEFNu1J9g2rbO2jEiBHnnIxVmQpwCHGA6v136SHd7UBvN5k5uIVh9QAAAMA6/HtUW/ltR6IU/28bT15RscxeFSOPjWcXDxyDRXfwqICkLOxYvXq17N27t07Ps2fPHlm1apUW7gwbNkx7XgD2b8/xDPl7X9XdO37s3gEAAHB4LRr7yGWVd/Gsj5XkLHbxwDFYNOApmzilpkWp0eL/+te/JCUlpVbfrx5/7bXXat+vji+p5wPgOJOzKgrydpPrB7F7BwAAAGfcPaqNuDiXj9TKLyqRj1ceMbQmwG4Dnh49emjjxt3d3bWdOOp41e+//16j71WP69+/vzZlSoU7n3/+udYAGYD925WQLkv3J+nWbhnWShuPDgAAACjNg33k8l76XTxfbzwmSVn5htUEWEq9vjNSx6ZqQjVFfumll7RpVLGxsTJ58mStofCECROke/fuEhoaKj4+PpKTkyNJSUmyY8cOWbx4sRw9elQ73qV2AKnvb9asmfaa6pgWAMfqvaN278wYyO4dAAAA6N09qq3M33ZcTP/rxaN28Xy0IkaemtjJ6NKABuVUWpvuv+fh7OxsbqJcG2UlnOt7z/YYddtkMtX6NVFVQkKCREZGatfj4+N1U88AI+2IT5cp76/VrT18SQe5fURrw2oCAACA9Xrk510yb3O8+baHq7OsfmikhPh7GloX0JDvvxvkiJYKY2pyqRjSVAxuavKYio8D4Fi9dxr5uMuMgTRXBwAAQPXuHNlGXCv04ikwlcgHK+jFA/tW7wFPbQKX8wU/53oMwQ7gGLbHpcmKg8m6tVnDWokPvXcAAABwFpGNvOXKPmd2R5T5dlOcnMygFw/sV72+Q1q+fHl9Ph0AVOm909jXXaazewcAAADncdeoNvLT1ngpKj6zOaDQVCIfrjgsz07uYnRpgPUHPMOHD6/PpwPg4LYeS5OV0ZV377QWb3d27wAAAODcwgO95Ko+kfLNxjjz2neb4uW2Ea0lLMDL0NoAuxiTDgB17b3T2NdDrhvA7h0AAADUvBePu0v5297C4hL5YDm9eGCfCHgAWKWtx1Jl9aHTurXbhrcSL3cXw2oCAACAbWkW6CVX99X34vl+c7wkpucZVhPQUAh4AFilt/7W995p4sfuHQAAANTeHSNbV9nF8/7yw4bWBDQEAh4AVmdzbKqsOazfvXP78Nbi6cbuHQAAANSO6rdzTT/9Lp4ftsRLQlquYTUBVh/wFBYWijWwljoA1M07y/S7d0L8PORf/aMMqwcAAAC27Q7Vi8e1/O2vmqz18coYQ2sCrDrgadeuncydO1eM9MUXX2h1ALBNO+PTq/TeuX0Eu3cAAABQd6H+nvKvfvoPDL/fEi9JmfmG1QRYdcATFxcnM2fOlI4dO8qcOXOkqKhILEG9zmeffSYdOnSQm266SeLj4y3yugDq33uVzkOryVnXVPrHGAAAAKitWcNbiZuLk/l2oalEPlnNLh7Yj3oNeFxdXaW0tFSio6Pl5ptvlqioKHnsscfk8OGGaWB16NAhefjhhyUyMlJuvfVW7bZ6fTc3twZ5PQAN68DJTPl73ynd2s1DW7J7BwAAAPXSi+eK3hG6tW82xklaDi0+YB/qNeDZuXOnjBo1SgtZ1OXUqVPy6quvSvv27aVnz57y/PPPy4YNG6S4uLhOz6++b/369drzqOdTO3Zef/11SUpKMr/m6NGjZceOHfX5YwGwkA+WH9HdDvByY3IWAAAA6s1tw1uLc/kmHsktLJY5a48aWRJQb5xKVSpSz3777Td58sknZc+ePeUv5FT+p8jb21t69OghXbt2lbZt20pERISEhISIl5eXuLu7a02Sc3NzteAmISFB25mze/duLUBS62Uqlq6eSwU/kyZNqu8fx2Go/63VbihFHXNT/78AlhJ7OkdGvbFCSir8jXTvRW3l3ovoqQUAAID6c++87fLrjkTzbX9PV1n7yCjx8+QkCGz7/berNIDJkydrQcv3338vb775pmzZskULY1TIo77m5OTIunXrtEttlAU6Zc+j9OvXT+6//3654oordCESANvy4YojunDHx91FZg5qYWRJAAAAsNOJWhUDnsx8k8zdcEzuGNHG0LoAqzqiVZEKW6ZNmyabNm2SNWvWyA033CB+fn7V7r4pO15V3aW6xwcEBMgtt9yiBUTqyNeVV15JuAPYsMT0PJm/PUG3dt3A5hLo7W5YTQAAALBP7UL95OLOobq1z1YflbzCurUSAaxFg+zgqWzQoEHa5YMPPpBly5bJH3/8IatXr5a9e/eKyWQ65/eWNU3u0qWLDB8+XC655BIZMWKEdpQLgH2YvSpGiorLQ1wPV2e5eUgrQ2sCAACA/bprZFv5c2/5cI+UnEKZtzlObhjc0tC6AKsPeMp4eHjI+PHjtYtSUFAgBw4ckNjYWElMTJTs7GxtTT3O19dXwsPDpUWLFlozZQIdwD4lZxXId5vidGvT+kZKEz8Pw2oCAACAfesaESDD2zWRldHJug8dr+3fXNxdG+ygC2A/AU9lKsjp3r27dgHgmD5dEyMFphLzbVdnJ7l1eGtDawIAAID9u2tUG13AcyIjX+ZvS5Bp/aIMrQuoK6JJAIZJzy2Ur9cf061N7RUu4YFehtUEAAAAx9C3RSPp17KRbu3DlUfEVFz+4SNgSwh4ABjmi3WxklOhmZ2zk8jtTC8AAACAhdw1Uv+757GUXFm0+4Rh9QAXgoAHgCGyC0wyZ22sbm1Ct2bSsrGPYTUBAADAsQxt21i6RQTo1t5fflhKSsoHgAC2goAHgCG+2XBMMvKKdGt3jqT3DgAAACzHyclJ7qy0iyf6VLb8vb98whZgKwh4AFhcflGxfLL6qG5tTKdQ6dDU37CaAAAA4JjGdAyVdqG+urX3/jkspaXs4oFtIeABYHE/bImX09kF5zz/DAAAAFiCs3PVXTy7j2fIqkOnDasJqAsCHgAWVWgqkY9WHKly9rl7ZKBhNQEAAMCxTegaJs2DvXVr7/9z2LB6gLog4AFgUb9uPy6JGfm6tcqfmAAAAACW5OriLLcP1/eD3BSbKpuOphpWE1BbBDwALEZNI/holX73Tp/mQdK/ZSPDagIAAACUqb0iJCzAU7f20Ur9766ANSPgAWAxyw4kSUxyTpXdO2p6AQAAAGAkd1dnuXVYK93aPweSJPpUlmE1AbVBwAPAYj6u9AlIh6Z+MqJ9E8PqAQAAACq6um+kBHq76dZmr4oxrB6gNgh4AFjE1mNpsuVYmm5NfULC7h0AAABYC293V5kxoLlu7bcdx+VkpR6SgDUi4AFgEbMr9d5R55sndm9mWD0AAABAdWYMaiEeruVvlYuKS2XOuqOG1gTUBAEPgAYXk5wtf+07pVu7cXBLcXPhryAAAABYl8a+HnJ57wjd2rcb4iQrv8iwmoCa4N0VgAb3yeqjUlpaftvP01Wm9Ys0siQAAADgrG4ZqloJlN/OKjDJd5vijCwJsL6A56233pK0NH0fDgD2KzmrQH7elqBbu7Z/c/Hz1DevAwAAAKxFy8Y+cnGnprq1z9fESqGpxLCaAKsLeO6//36JiIiQmTNnyvr16y398gAs7Mt1+n8I3Vyc5IbBLQytCQAAADifW4frR6afzMyXBTsTDasHsMojWvn5+TJ37lwZMmSI9OjRQz766CPJzs42ohQADSinwCRzNxzTrV3WM1xC/T0NqwkAAACoiV5RQdKvRSPd2ierYqS0Yu8BwIoY2oNH/cHYtWuX3HnnndKsWTO5/fbbZceOHUaWBKAe/bAlXjLyiqqMRgcAAABsQeXfXQ+eypIV0cmG1QNYVcCzfPlyufLKK8XN7Uz/Daf/da5SO3hmz54tvXv3lgEDBsiXX36p7fQBYJtMxSXy6Wr9OMnRHUKkTYifYTUBAAAAtTGqQ4i0buKjW5u9MsawegCrCniGDx8u8+bNk/j4eHn55ZelZcuWui1u6vrmzZvlxhtvlPDwcPm///s/OXDggKXLBHCBFu0+IcfT83Rrs4a3NqweAAAAoLacnZ1k1jD977DrY1JkV0K6YTUBVndEq0mTJvLwww/L4cOHZcmSJTJ58mRxcXHRBT1q2tY777wjnTt3lpEjR8oPP/wgJpPJqJIB1JD68zt7lf6TjR6RgdK3RZBhNQEAAAB1MblnMwnx89CtfVzpd11AHL0HT5mLL75YfvnlFzl27Jg888wz2pStym8WV61aJddcc41232OPPSaxsbGG1Qvg3NYdSZG9iZm6tVnDWpmPZAIAAAC2wsPVRWZWmgK7ZPcJiUvJNawmwGoDnjJhYWHy1FNPydGjR+W3336TcePG6d4QqqAnKSlJXn31VWnTpo2MHz9eFixYICUl5SOYARjvo5VHdLdbBHvL2M5NDasHAAAAuBDX9m8uPu7lJ05KSkU+XcMuHlgXqwp4yjg7O8vEiRNl0aJFEhMTI48++qiEhobqgh4V6vz5559y2WWXSYsWLeT555+XkydPGlo3AJF9iZmy+tBp3drNQ1uJizO7dwAAAGCbArzc5Jp+UVUmxqbmFBpWE2ATAU9FUVFR8uKLL2pNmb/++msJCAjQdvWoiwp61CUhIUE72qWCnuuvv14OHTpkdNmAw/pktf6TjGAfd7mit/7YJQAAAGBrbhzSUlwrfGiZX1Qic9cfM7QmwKYCHkXt4lF9d9RErczM8r4elft5FBYWaiGQasqsGjgXFRUZUC3guNTUrAU7E3VrMwa2EE+38u2sAAAAgC1qFuglk7o30619uT5W8gqLDasJsImARx3BUo2XVQPmdu3ayeuvvy7JycnafWU7d5o1ayb333+/9O3bVzdqXU3aUo+fNGmSbh1Aw/p8zVEpVgeS/8fLzUVmDGxuaE0AAABAfbllWCvdbXVE66dtCYbVA1h1wHP8+HF5+umntaNZV1xxhSxdulTXRFkFNmpk+k8//aRN0nrttddk48aNsnXrVpk+fbo2ar3s+NZff/0ln3zyiaE/D+AosvKL5PvN8bq1q/pESJCPu2E1AQAAAPWpY5i/DGvXRLc2Z81RKanwIScgjh7wLFmyRCZPniwtW7aUF154QRITE807dRRfX1+58847Ze/evbJs2TKZOnWqFuaU6dmzp3z55Zda0KOeo+z41ty5cw37mQBH8uOWBMkuMJlvq+PJNw3Rf8IBAAAA2LpZlXbxxJzOkZXRZ06bAEZyNfLF1cjzzz77TNtlc+zYmeZUKtCp2FtH9dNRwY7anePj43Pe5+zatau8//772oh1Zc+ePQ34EwBQ1LEsdf64ojGdQiUq2NuwmgAAAICGMKh1sLQP9ZODp7LMa5+vPSojO4QYWhdgSMCzfPly+eijj+S3337TGiGX7dIpC3bUzhw1/lwFO8OGDav1848YMcJ8TKtiU2YADeOfA0lyLCVXt3bj4JaG1QMAAAA0FPVe88YhLeThn3eb11YfOi3Rp7KkXaifobXBsVk84OnQoYN5jHnl3TpNmzaVW2+9VbuEhYXV+TU8PDzE29tbcnP1bzgBNFxz5Yo6N/OXfi0bGVYPAAAA0JAm9wiXV/84qDVZLjNnbay8PLWroXXBsVm8B090dLTutgp5hg8fLj/88IPExcVpDZYvJNyp+LxM0AIa3v4TmbI+JkW3dsPg8j5YAAAAgL3xdHORf/WL0q39sj1B0ioEPoBDNFlWwYvqp3P77bfL7t27tSNbamJWxabJF2r//v1y9OhRiYmJqbfnBFDVnLX63TuNfd1lYvcLD2kBAAAAazZ9YHNxVZNF/ie/qES+2xxnaE1wbBY/otWxY0e54447ZMaMGeLn13DnEyMjIxvsuQGckZJdIL/uSNStXTeguXi41l9YCwAAAFijUH9PubRbmO734a/WHZNbhrYSNxerGVgNB2LxgEeNOQdgH77dGCeFphLzbXcXZ7m2f3NDawIAAAAsRbUmqBjwnMzMlz/2nJSJ3ZsZWhccE7EigDpRwc5XG47p1tQ/ZE38PAyrCQAAALCk7pGB0rt5kG5NjUwHjEDAA6BOFu1OlOSsAt3aDYNbGFYPAAAAYIQbB7fU3d4ely7b4tIMqweOy+JHtM51dGvjxo2yb98+SUtLk+zsbPH19ZWgoCDp1KmT9O/fXzp37mx0mQD+1yj98zWxujU1Fr1LeIBhNQEAAABGuLhzqDQL8JTEjHzdyPReUfqdPYBdBzyFhYXywQcfyMcff1xlfHp12rVrJ7fddps2fcvd3d0iNQKoauuxNNl9POOcn1wAAAAAjsDVxVlmDGohryw5YF5bsvuEnBjfQcICvAytDY7FsCNamzZtkh49esj9998vBw8e1HYEqEt1yu5Tj7vvvvu079u8ebPFawZQ/bniiCAvGdMp1LB6AAAAACNN6xspXm7lk2RNJaUyd72+XyVglwHPsmXLZNSoUeZgx8nJqUqYU/FSRj1O3T5w4ICMHDlS/vnnHyPKBxxaQlquNhmgopmDWoiLc/mfYwAAAMCRBHq7y9Re4bq1bzfFSV5hsWE1wfFYPOCJi4uTKVOmSG5urnnN09NTrr32Wvn++++10Cc9PV2Kioq0r+r2Dz/8INddd514eXmZgx71/ep51PMBsBz1SURJhc12Pu4uclXfSCNLAgAAAAxXeeBIem6R/LrjuGH1wPFYPOC59957JScnx7wb55JLLtFCnLlz58qVV14pbdu2FX9/f3FxcdG+qttXXHGFfPXVV9rOnXHjxpl3/ahGzP/3f/9n6R8BcFg5BSb5bpM+VL2yT6T4e7oZVhMAAABgDdqE+Mnwdk10a5+vOXrWViSATQc8KSkp8vvvv5uPZKkdOAsXLpSIiIgafb96nHq8+r6yPyTqtnpeAA1v/rYEycw3mW+rP8rXD2I0OgAAAKDcOEQ/eORQUrasOXzasHrgWCwa8KxYsUJMJpMWzqjjVp988om2U6c2nJ2dte/z9vbWbhcXF8vy5csbqGIAZUpKSmXOOv1o9FHtQ6RlYx/DagIAAACsybC2jaV1E/3vx2pkOmB3AU9CQoL2Ve3gUUezgoOD6/Q86vvU91d+XgANZ+WhZIlJzjnnJxQAAACAI1PvdW8YrP8d+Z8DSRKTnG1YTXAcFg141G6bMu3atbug56r4/SUlJRf0XADOT50frqh9qJ8Mal23kBYAAACwV2qaVoCXvkflF5V2wgM2H/CEh4dXG/bURcXvr/i8AOqf+sRh9aHTVaYElPXTAgAAAHCGt7urTOunnzL789YEyS4o72UJ2HzA0717d/P1PXv2XNBz7d27t9rnBVD/vtmon5wV6O0mU3oSrAIAAADVmTGwhThX+Cw0p7BYftnOyHTYUcDToUMH6du3r9ZkedmyZRIfH1+n54mLi5OlS5dquwd69eqlPS+AhpFXWCw/btH/Wb2qT6R4utWuQToAAADgKMIDvWR0x1Dd2tfrjzEyHfYT8CgvvfSSNgmrqKhIpk+fLvn5+bX6/oKCArn++uulsLBQe55XXnmlwWoFILJwZ6JuNLpybf8ow+oBAAAAbMH0Ac11tw+eypLNsWmG1QP7Z/GAZ/To0fLqq69q11evXi3Dhw+XXbt21eh7d+/erT1+5cqV2u4dFe6o5wPQMNQnDF9t0DeEG96uiTQPZjQ6AAAAcC5D2jSWlo31vzd/tZ5my2g4rmJh6njVlVdeKZ6envLAAw/Ili1btGNWQ4cOlYkTJ2r9dEJDQ8XHx0dycnIkKSlJduzYIb///rusWrVKm5ilvvf111+XSy+9VHu+84mKYrcBUBc74tNlz/FM3dqMgfpPIgAAAABU5ezspO18f2HRfvPaH3tOSlJWvoT4eRpaG+yTU6mFDwGqY1UVJ++UvXxNpvHU5rFl1GNNJrqV10RCQoJERp7p9q76I0VERBhdEgx23w87ZP6247qzxKseGikuFTvGAQAAAKhWRm6R9H95qeQXlZjX7h/TTu4e3dbQumCf778tfkSrurCmLLBRa2e71Oax1X0vgNpJzSmU33ed0K1dOyCKcAcAAACooQBvN5nUvZlu7dtNcWIqLg98gPpiSMBTFrrUJoghtAEsS03OKjSV/8Pj7uKsTc8CAAAAUHPTB7TQ3T6RkS/LDiQZVg/sl8V78MyZM8fSLwmglkpKSuXrjcd0a+O7NpXGvh6G1QQAAADYoq4RAdI9MlB2xqeb177ecEwu7tzU0Lpgfywe8KgR5wCs28pDyRKfmqdbm05zZQAAAKBOZgxoLvdXCHhWHzotMcnZ0qqJr6F1wb4Y1oMHgPX6er1+907HMH/pFRVkWD0AAACALZvQLUwCvd10a19vOP9EaKA2CHgA6MSn5so/B/VngqcPaF6r6XUAAAAAynm6ucjVlfpZ/rg1XnILmfiM+kPAA6BKV/+Kfcz9PFxlSk99538AAAAAtfOv/lFS8TPTrHyTLNyZaGRJsDMEPADM8ouK5fvN8bq1y3tHiLe7xdt1AQAAAHalebCPDG/XRLf21fpjTIlGvbGKd2379u2T3377TdatWycHDhyQtLQ0ycrKEj8/PwkKCpIOHTrIoEGDZMqUKdKxY0ejywXs1pI9JyQ1p1C3dt0AmisDAAAA9UG1PlhxMNl8e29ipuyIT5ee9LuErQc8u3fvlvvuu0/++ecf81rF9DI1NVW7xMTEyOLFi+WJJ56QMWPGyOuvvy5dunQxqGrAfs2t1Fx5UOtgaRNCZ38AAACgPoxoHyIRQV6SkJan+x2cgAc2fUTr448/lv79+2vhTsVQp3Ij14q31eP++usv6devn8yePdui9QL2bs/xDNkWVz66sewTBgAAAAD1w8XZSa7tr/8d+/ddVXfRAzYT8Hz55Zdy++23S35+vjnEUeGN+tquXTsZPny4TJgwQfuqble8X13U96nvV88DoH58s1G/eyfU30Mu6hRqWD0AAACAPbqqT4S4u5S/FS8sLpEftuj7YAI2EfAcPXpUZs2aZQ5rVHDTo0cPmTt3rqSnp8v+/ftl+fLlsnDhQu2rup2RkaHd36tXL3PQo76q51HPB+DCZOQVya/b9R38r+kXJW4V/uEBAAAAcOGCfT1kQrewKh+2FpfQbBkXxuLv3lQfncLCQvOxrGeffVY2b94s1157rfj6Vt/rw8fHR7t/06ZN8vzzz5tDnqKiInnyySct/BMA9mf+tgTJKyrWbR1VAQ8AAACA+ld5kEl8ap6sii5vvgxYfcCjjlb9+uuv5t07jzzyiBbQODvXrAz1PY8//rg89thjWsijLr/88osUFBQ0eO2AvVJ/juZu0B/PurhzqIT6expWEwAAAGDPekUFSqcwf93aV+tjDasH9sGiAc+aNWskLy9Pe0MZHBwszzzzTJ2e5+mnn5bGjRubQ6PVq1fXc6WA49h0NFViknN0a9MHtDCsHgAAAMDeqc0LMwbqd/GsiE6WxPTy6VqAVQc8x44dM//HPH78eHFzc6vT86jvU99f+XkB1N68zfqGbq2a+MiAVo0MqwcAAABwBJN6NBM/D1fzbdXFhGbLsJmA5/Tp0+brUVEX1t+j4vdXfF4ANZeRWySLd5/QrV3TN0oLYQEAAAA0HG93Vy3kqeiHzfE0W4ZtBDxeXl7m69nZ2Rf0XBW/v+LzAqi5X3cclwJTifm2m4uTTO0VbmhNAAAAgKOY1le/8SExI19WH6LZMmwg4AkJCTFf37JlywU919atW6t9XgA1o3phfbcpTrc2tlNTbWwjAAAAgIbXNSJAOjfTN1uet4ljWrCBgKd3797mN5br1q2TnTt31ul51Pephs2VnxdAze1MyJADJ7N0a9P6RRpWDwAAAOCIpvXT7+JZuv+UJGcxKRpWHvC0bdtWWrdurfX3KCkpkenTp0tKSkqtnkM9/rrrrtNCIkU9n3peALXz/Wb97p2IIC8Z3PrMdDoAAAAAljG5RzPxdCt/a24qKZWftyUYWhNsk0UDHuWBBx7QwhkV8uzZs0f69+8vf//9d42+96+//tIev2/fPu22eg71fABqJ6fAJAt2JOrWru4TKc7ONFcGAAAALMnf000mdNU3W/5+c7x5UwNQU+Uz2SzklltukU8++US2bdumBTQxMTFyySWXSMeOHWXy5MnSs2dPadq0qfj4+EhOTo6cPHlStm/fLr/99pvs37/fHA6pS69eveTmm2+29I8A2LyFOxMlp7DYfFvlOlf24XgWAAAAYIRr+kXqdu0cPZ0jG4+myoBWwYbWBdti8YDH2dlZFi1aJIMGDZKjR49qQY0KbdSuHBXgnE1Zeln2eHU0Sz2Pej4AtTNvs75x26gOIdI0wNOwegAAAABH1rt5kLQJ8ZXDSeXToudtiiPgQa0Yko6EhobK5s2btR07FYMbRd2ufKl8/2WXXSYbN25kehZQBwdOZsqO+HTd2tWVxjMCAAAAsBz1fndaX/2O+sV7Tkp6bqFhNcH2GLb9pVGjRvLLL7/IsmXLtKDH3d39rGcM1bqHh4cW7Cxfvlx+/vln7fsB1F7lsYuh/h4ysn0Tw+oBAAAAIDK1V4S4uZT3xCw0lciv248bWhNsi8WPaFU2cuRI7VJUVKT12jl48KCkpaVJVlaW+Pn5SVBQkLRv317rt+Pqani5gE3LLyqW+ZU68l/ZO1JcXTjqCAAAABipkY+7jO3cVBbtOqFrrXD9oBbmEy3AuVg0MVGhjeq7U6Zz587i4uKiXXdzc5N+/fppFwAN4489JyUz36Rbu4rmygAAAIBVuKZvlC7gOXAyS3YmZEiPyEBD64JtsOjH9t9++602JUtdpkyZYg53AFjGd5vidLeHtGksUcHehtUDAAAAoNyg1sES2chLt6aaLQNWF/CkpKSY++xcdNFFlnxpwOHFJGdroxYrmtaP3TsAAACAtXB2dpKrK+2wX7AzUbIL9LvwAcMDnuDg8hFvYWFhlnxpwOF9v0XfXDnI203GdAo1rB4AAAAAVV3ZJ1KcK7TcyS0slt93JhpZEmyERQOeiqGO6scDwDJUB/6ft+qbK1/eK0I8XDkmCQAAAFiTUH9PGdUhRLf23Wb9h7WA4QHP4MGDzZOwdu7cKbbm2LFjcv/990uHDh3Ex8dHG9Xet29fee211yQ3N7dBXlM9b6tWrbSu6erSokWLBnkd2Ld/DpyS09mFujWOZwEAAADWaVrfKN3tnfHpsv9EpmH1wDZY/IjWmDFjtD48a9as0U3UsnYLFy6Ubt26yZtvvqmNclfBixrnvmXLFnnooYe0xtGHDx+u99d96qmnbOp/J1in7zbpE/8+zYOkTYifYfUAAAAAOLsR7ZtIqL+Hbu17dvHAmgIeRe128fLyEpPJJLfccosUFRWJtdu+fbtcffXVkpmZKb6+vvLiiy/KunXrZNmyZdrPoERHR8uECRPq9eiZet3//ve/4unpKX5+vBlH3SSk5cqqQ8m6tWn99J8IAAAAALAeri7OcmVv/Y77+dsSJL+o2LCaYP0sHvB06tRJPv74Y+2o1vLly7VpWocOHRJrds8990heXp5W819//SWPPfaYDBw4UEaNGiWzZ8+W//znP+aQ54033qiX1ywuLtbCI/VVvZ46DgbUxY9bEuR/w+s0fh6uMqErTc4BAAAAa3Z1X33Ak5lvkj/2nDSsHlg/p9KyueUWsmrVKu2rOqL19NNPS0lJidZbZuTIkTJixAitv01gYKC4ubnV+DmHDRvWYPVu2rRJ+vfvr12fNWuWfPTRR1Ueo36GLl26yP79+7Xak5KSalV/ddRRMNXvp3379rJr1y5p166d1gOoefPmEhsbKw0hISFBIiPP/CUSHx8vERERDfI6sJziklIZ+uo/kpiRb167bkCUvDClq6F1AQAAADi/6Z9tlNWHTptv92/ZSL6fNdDQmmC977/PdDy2IBXiqECnjMqX1OWff/7RLrWlnksd92oov/76q/n6DTfcUO1jnJ2dZcaMGfLoo49Kenq6tjNp7NixdX5NFeSo3juKCpTc3d3r/FxwbGsPn9aFO9U1bAMAAABgvbt4KgY8G4+myrGUHGke7GNoXbBOFj+iVaZs41DZdKiK6zW5VHxsQ1I7jRQ1Nat3795nfdzw4cPN19euXXtBr3nHHXdITk6OTJ8+XQvEgLr6qdJo9M7N/KVLeIBh9QAAAACouTGdQiXIW3865Odtxw2rB9bN4jt4lIoBzYU+R0NTx66UNm3amEe8V0cdLav8PXUxb948Wbx4sQQFBdVbP5+KW8DO5cSJE/X6ejBWZn6R/LlXf0b3it4cuwMAAABshYeri0zq3ky+XH9M12z53tFtxdm5fKMEYEjAo44v2Yr8/Hw5ffrMdrjznYdTgYza5aN23qjzc3Whxq7fe++92vVXXnlFmjRpIvWp7HwfHMPiXSekwFRivu3q7KT94wAAAADAdlzeO0IX8CSk5cmm2FQZ0CrY0LpgfSwe8FQ8ymTtKo48V+PRz6cs4MnOzq7T6z344INy6tQpbUJX2fh1oK5+3qbfsTWqQ4gE+3oYVg8AAACA2usaHiDtQn0l+lT5+8yftyYQ8MA6jmjZ0g6eMjVpdOzhcebNsxqpXpfpYp9//rl2DEw1Vq7Yl6i+nG9nkTqi1a9fv3p/XVieary2OTatSvIPAAAAwLao94aX94qQl5ccMK8t3n1Cnp3cWbzdeUuPcvzXcA6enp7m64WFhed9fEFBgfbVy8urVq+jvu/WW2/V+grdc8890q1bN2kIjD13HJUbr6nGbCPbhxhWDwAAAIC6u6xnuLz6xwEp+V8r2pzCYvljz0mZ2ov3eDAw4Pnqq6/Mo8Wvu+66Oj/Pd999J0VFRdp1NaK8Ifj5+Zmv1+TYlTqeVdPjXBW9+OKLcvDgQa1HzrPPPluHSoFyJSWlWuO1iib3CBd3V8OG5gEAAAC4ACH+njK0bRNZGZ2sa8lAwANDA56ZM2dqW8xcXFwuKOBRO15yc3MbNOBRO3iCg4MlJSXlvBOoVIPksoCnts2MX331Ve3rRRddJAsXLqz2MWXPrb6qSVtKSEiIjBo1qlavBfu38Wiq1nitIrWlEwAAAIDtUi0XKgY8646kSGJ6njQLrN0JEtgvQ8ek18fzNESvmoo6deokq1evlsOHD4vJZDrrqPQDB8rPQ3bs2LFWr1F2/GvOnDna5VzUVK9rrrnG3LCagAfna66sGrJ1Cfc3rB4AAAAAF25sp1Dx83SVrHyTdlu9rf5l+3G5c2Qbo0uDleDMxnkMGTLEvHNm69atZ33cypUrzdcHDx5skdqAynILTbJk94kqu3caOggFAAAA0LA83Vzk0m5hujU1Tau+NlDA9tlswFNcXKx9PduOmvoyZcoU8/Wz7a4pKSkx9xYKDAyUkSNH1uo11B/I812aN2+uPVZ9LVtbsWLFBf1ssD+q0ZpquFbG2elMQzYAAAAAtu+KSpNxY07nyPb4dMPqgXWxyYAnKyvLPMLcx8enQV9LjQ0fOnSodv2zzz6T9evXV3nMG2+8Ifv379euqylYbm5uuvtVEKN2UKiL6kEEWOp41rB2TbSGbAAAAABsX6+oIGnZWP8e+Ket5+4XC8dhkwHP4sWLta8qMKltQ+O6ePvtt7XR56oHz9ixY+Xll1+WDRs2yPLly2XWrFny0EMPaY9r166d3H///Q1eD1Ad1WBNNVqriObKAAAAgP1Q74GnVtqh//vORMkvKt/FD8fVIOeb4uLiJDY29pyPUUeMVPPimp4XVEey1KSqzZs3y4cffmhe79WrlzS0nj17yvfff69N/crMzJTHHnusymNUuLNo0SLdaHXAklSDtYp/nFQDtjGdQo0sCQAAAEA9u6xXuLzxd7T5dma+SZbuPyWXdmtmaF2w04BH9ap57rnnzvkY1bdmxIgRdXr+iqHQtGnTxBImTpwou3bt0nbzqCBHjU13d3eXNm3ayJVXXil33XWXeHt7W6QWoLo/E5W3Zqq/4FUjNgAAAAD2IyLIWwa2Cpb1MSm6ZssEPGiwDsVlI8zPtkOnrp2+K04Duvzyy+Xiiy8WS1ENjt98803tUhsqyLrQzubn2xEFx7YtLl2Ons7RrV3Rm+bKAAAAgD26vHeELuBZdei0JGXlS4gf/TcdWYP24GmocW2dOnWS//73vzJv3rwGeX7A1psrq8ZrqgEbAAAAAPszrktT8XYv361fXFIqv21PNLQm2OkOHjUpqrrjVyrwGTVqlHbdxcVFli5dWuPnVJOpVH8btYvG39+/XusFbJlqqKYaq1V0ea9w3W43AAAAAPbDx8NVxnUJ033Qq1o23Dy0Je8DHFiDBDwqhFGXc1H/0Q0fPrwhXh5wKKqhmmqsVkb9fX4Z07MAAAAAu3Z573BdwHPwVJbsTcyULuEBhtYFO+zBczZRUVFauOPqavGXBuySaqhWkWq4Fh7oZVg9AAAAABregJZnfu8/np6n28VDwOO4GrQHz9maBR89elQOHTpk6ZcG7I5qpKYaqlV0Obt3AAAAALvn7OwkU3vpB6ss2JkohaYSw2qCgwU8AOqPaqSmGqqVUY3WLunS1NCaAAAAAFjG1Eof7qbmFMqKg0mG1QNjEfAANko1LVdbMCtSjdZUwzUAAAAA9k9Nz+3dXD89t/J7BDgOAh7ARqkGaqqRWuVGawAAAAAcR+UWDf8cSJK0nELD6oFxDP2oPzs7W37++WdZv3697N+/X9LT07U1tTOhplTD5iNHjjRonYA1UudrK1IN1lSjNQAAAACOY0K3MHl24V4p+F/vHVNJqSzec0Ku7X/uydawP4YEPMXFxfLiiy/Ka6+9Jrm5ubr7ahruqGBHPVZ9BRxNSUmpLKwU8Ezu0UxrtAYAAADAcQR4ucnojiGyePdJ89qCHYkEPA7I4ke0TCaTTJkyRZ599lnJyckxBzrqa2127tTmsYC92RybKicy8nVrk3twPAsAAABwRJO6698LbIpNlcQK49PhGCy+g+fVV1+VRYsW6XbhuLm5SdeuXaVFixbi4+PDrhzgPH6rtHunQ1M/ad/Uz7B6AAAAABhnRPsm4ufpKln5Ju222g/x+65EuXVYa6NLg70GPIWFhfKf//xHF+w8/fTTcscdd0hAQIAlSwFsVqGpRBbvPqFbm9i9mWH1AAAAADCWp5uLXNK5qfxYYYKW6tlJwONYLHpEa/Xq1ZKVlWXunfP111/Lo48+SrgD1MKaw8mSnlukW5tEwAMAAAA4tMotG/Ycz5TDSdmG1QM7D3gOHTqkfVXhTu/eveWKK66w5MsDduG3HfrjWb2bB0lkI2/D6gEAAABgvIGtg6Wxr8c5J+/Cvlk04FFj0MsMHTrUki8N2IXcQpP8ve+Ubo3dOwAAAABcnJ3k0m5hujU1eZcBRY7DogFPSEiI+bqfHw1hgdpauj9JcguLdX+Jj++q/0scAAAAgGOa3EP/4e/R0zmy+3iGYfXAjgOeVq1ama+fOqXfhQDg/BbsOK67PbhNY2nip9+GCQAAAMAx9YgMlKhK7RsWVGrxAPtl0YBHHctq2rSpdn3lypWWfGnA5qXnFsrK6GTdGsezAAAAAJRR/W4rv0dYuCtRiks4puUILBrwuLi4yJ133qmdATx48KAsXrzYki8P2LQle05KUXH5X8zurs5ycedQQ2sCAAAAYN3HtE5lFsjGoymG1QM7DXgUNRZ9yJAhWshz4403midrATi33yodz7qoY4j4eboZVg8AAAAA69M21E86hvlXabYM+2fxgMfZ2VkWLFggo0ePlqSkJOnbt6+89957kpuba+lSAJtxMiNfNh5N1a1xPAsAAABAdSq/V1i8+6QUmMqHtcA+uVr6BdWuHUX14nF3d5fMzEy555575KGHHpJevXpJeHi4+Pj41OqM4WeffdaAFQPG+32XGm9YftvPw1VGtC+fSgcAAAAAZSZ2D5NX/zhgvp2RVySrok/LmE60eLBnFg94vvjiCy2UKaOuq+Na+fn5sn79+lo9l/o+Ah44gt8qdb6/pEtT8XRzMaweAAAAANYrIshb+rYIks2xaea1BTsTCXjsnMWPaFUMZ8qokKZi6KPuO98FcBQxydmy+3iGbm1SpcZpAAAAAHCuY1p/7zspOQUmw+qBHe7giYqK0oU5AM5NJe0VNfb1kIGtgg2rBwAAAID1G981TJ5ZuM88Ij2/qESW7j8lk3uEG10a7CXgiY2NtfRLAjZL7VZbUOl41qXdwsTVxbDNdwAAAABsQLCvhwxt21hWHEzWtX4g4LFfvEsErNjexEyJOZ2jW+N4FgAAAIC6HNNaFZ0saTmFhtWDhkXAA1ix33Yc192ObOQlPSMDDasHAAAAgO0Y27mpeLiWv+03lZTK4j0nDK0JDYeAB7BSJSWlsnCn/i/fyd3D6WEFAAAAoEZ8PVzlokqTsypP6IX9IOABrNSm2FQ5mZmvW+N4FgAAAIALOaa1OTZVEtPzDKsHDcdmA574+HiJi4vTLoA9qpysd2jqJ+1C/QyrBwAAAIDtGdG+ifh5ls9XKi0V+X0Xu3jsUb1P0erVq5f21c3NTTZu3Hjex+/evVubFKR069atxq/TqlUrKSkp0Y6rmEymC6gYsD6FphJZvLvS8Sy63QMAAACoJQ9XFxnfJUy+3xKv+zD51mGtDa0LNhDw7Nix48wTu7rWOBCqa1BTFgwB9mb1oWTJyCvSrU3sHmZYPQAAAABsl2r1UDHgUdN6jyRnS+smvobWBTs8oqWCGsIaoNzi3Sd1t3s3D5KIIG/D6gEAAABguwa0CpYmfh66tSWVTgzA9llFwANAfzzr7336gOfSbuzeAQAAAFA3Ls5OMr5L03N+qAzbR8ADWJl1R05LZr7+uOIllf4yBgAAAIDaGNdV/6HxvhOZEns6x7B6UP8IeAArs6RSkt4rKlDCArwMqwcAAACA7evbopE09nXXrS3Zwy4ee0LAA1iRouIS+bPS8azxlZJ2AAAAAKjLMa2LO+tPBizZQx8ee0LAA1iRjTGpkp6rn57F8SwAAAAA9aHyh8e7EjIkPjXXsHpQvwh4ACuyuFKC3j0igOlZAAAAAOpF/5aNJMjbTbf2B8e07AYBD2AliktK5c9Kf7lWboQGAAAAAHXl6uJc5ZhW5Q+ZYbsIeAArseloqqTkFOrWxnE8CwAAAEA9qvwh8va4dElMzzOsHtQfAh7ASlRucNa5mb80D/YxrB4AAAAA9mdQ62AJ8OKYlj0i4AGsQElJaZURhUzPAgAAAFDf3FycZUynUN0a07TsAwEPYAW2xqVJclaBbo3jWQAAAAAawviu+vcaW46lyanMfMPqQf1wlQbg5OQkxcXFMmrUqPM+Vj2uTE0eX933AbZu8W59Yt6hqZ+0auJrWD0AAAAA7NfgNo3Fz8NVsgpM2u3S0jPHtK4f1MLo0mBtAY9SWloqK1eubLDHqxBJfQ9gD8ezKp95HdeF41kAAAAAGoaHq4tc1ClUftl+XPehMwGPbWuwI1oqgKnp48ougCPakZAuJzLyz7llEgAAAADqU+WWEJtiU6u0jYBtaZCAR+2sscQFsAdLKh3PahPiK21D/QyrBwAAAID9G9auifi4u5hvq7fYf+5lmpYtq/cjWkePHq3vpwTslgoqF++uND2L5soAAAAAGpinm4uM6hgqC3cm6qZpXTeguaF1wYoCnubN+Y8BqKndxzPkeHqebm0c49EBAAAAWID6cLliwLMhJlVSsgsk2NfD0LpQN4xJBwxUefdOi2BvbYIWAAAAADS0Ee1DxMut/JhWcUmp/L3vlKE1oe4IeAADj2epLZCVd+/QcBwAAACAJXi5u8jIDk10a4srTfiF7SDgAQyy70SmHEvJ1a2NZzw6AAAAAAsaV+k9yLrDpyU9t9CwelB3BDyAQZZUOp4VEeQlXcL9DasHAAAAgOMZ2SFEPFzLowETx7RsFgEPYNj0LP3xrPEczwIAAABgYb4erjK8nf6Y1hKOadkkAh7AANGnsiXmdI5ubRzj0QEAAAAYQH3YXNHqQ8mSmV9kWD2oGwIewACVd+80C/CUHpGBhtUDAAAAwHGN6hgi7i7l8UBRcaks288xLVtDwAMYoPL0rEu6cDwLAAAAgDH8Pd1kaNvGurXFlXqGwvoR8AAWdjgpSzuiVdH4rhzPAgAAAGCccZWOaa2MTpbsApNh9aD2CHgAC/ujUsOyED8P6RUVZFg9AAAAADCmY6i4OpefKig0lcjyA0mG1oTaIeABLOzv/fq/JC/p0lScK/xFCgAAAACWFuDtJoPa6I9pLaUPj00h4AEsKCkzX3bGp+vWxnbieBYAAAAA443tFKq7rXbwFBWXGFYPaoeAB7CgZZW2OPp5uEq/lo0MqwcAAAAAyozuGKK7nZlvks2xqYbVg9oh4AEsaOk+/RbH4e2biLsrfwwBAAAAGC8swEu6hgfo1pbuow+PreCdJWAhuYUmWXP4tG5tTKUtkAAAAABgpP9v707Ao6jPB46/uUMIEAhE0XAJBIGCcqkIinhglaKi/6qtiCjeR1Gp1qN/QSsPWkqVttZ6IJXWqrWloIIHUu5DufEAEhAQkBtCIJCEJPN/3vG/y86w2eyG3Z2d3e/nefbJzOzszG/Db5fMO7/f+17a0XqNMnPtTjEMw7H2IHgEeIAomV+0V8orj89fTUlOkosKrEMgAQAAAMBJl3ayXqNs3X9UCncddqw9CB4BHsCh6VnntmliZqoHAAAAgFjRqXlDOT2nnmUb1bTcgQAPEAVV1Yb815Zg2T70EQAAAACclpSUJJfaki3PtN2sRmwiwANEwaqtB2RfaYVlGwEeAAAAALHoUluu0FVbi2X3oTLH2oPgEOABomCmLfN8h1MaSMvcLMfaAwAAAAA1ObdNrmRnpFq2/Xct1bRiHQEeIArsc1bticsAAAAAIFakpyZLvw7NLNvIwxP7CPAAEbZpb6ls2G3NOs/0LAAAAACx7DLbNYtWBT5SUelYe1A7AjxAlKtnNWuQIWfl5zjWHgAAAACozUUdmklKcpJ3vbyyWhYU7XW0TQiMAA8QYTPt07M65kmyzxclAAAAAMSanKx06dW6sWUb07RiGwEeIIIOlFbIss37LduYngUAAADADezXLrPW7paqasOx9iAwAjxABM1ev1t8v/8y05KlT7umTjYJAAAAAIJyma1c+r7SCrNkOmITAR4gguxDGC9o30wy01Icaw8AAAAABKtVbn0pOCXbso1pWrGLAA8QIeWVVTJ3/Z6AmegBAAAAwE3TtGbaisggdhDgASJk8cZ9UlpR5V1PShK5uGOeo20CAAAAgFBcapumtWH3Ydm0t9Sx9qBmBHiACLEPXezesrE0zc5wrD0AAAAAEKqz83OkaXa6ZdsspmnFJAI8QAQYhiGffbPbso3qWQAAAADcJjk5SS45k2labkCAB4iAr78vkZ0lZZZtl3ViehYAAAAA90/TWrblgBworXCsPfCPAA8QAfaIduvcLGnbzJp9HgAAAADcoG+7ppKZdjx8UFVtyJxC64wFOI8ADxCF/DuXdTpFkjTLMgAAAAC4TL30FOnbrpllmz0lBZxHgAcIs+3FR80pWr7IvwMAAADAzewpJ+as3y3llcerBsN5BHiAMLNnlM/JSpMerRo71h4AAAAAOFkXn6mzEo6vl1ZUyZJv9zvZJNgQ4AEinH/n4g55kprCRw0AAACAezVrkCFnt8ixbPuMaloxhatOIIwOlR2TJd/uC5hxHgAAAADcyJ56QnOPGobhWHtgRYAHCKN5hXvlWNXxL7j0lGS5sMCajAwAAAAA3EiLx/jacbDshPyjcA4BHiCMZq2zDlHs3TZXsjNSHWsPAAAAAIRL+7xsaZWbZdk2ay3VtGIFAR4gTKqrDXMEj69LOlozzQMAAACAWyUlJcnFZ1qvceYV7XGsPbAiwAOEyTc7SmTv4XLLtosKCPAAAAAAiB8XdbBe46z87oAcPHLMsfbgOAI8QJjMLbRGrts0rS8tbcMXAQAAAMDNzm3TRDJSj4cSqg2RBRusMxngDAI8QIQCPP1IrgwAAAAgzmSmpch5Z+Rats0tJA9PLCDAA4RBSdkxWbHlgGUbAR4AAAAA8ch+raM3uymX7jwCPEAYLNqwTyp1bKJPefRzz2jiaJsAAAAAIBL6dbAGeHaVlMv6XYccaw9+QIAHiMD0rHPaNJGsdMqjAwAAAIg/ZzStL/mN61m2zV1PNS2nEeABTpIORZxH/h0AAAAACVQu3d80LTiLAA9wkjbuOSzbi48GHLIIAAAAAPHEHuBZunm/lJZXOtYeEOABTtoc21DE5o0ypX1etmPtAQAAAIBI6902V1KTk7zrx6oMWbxxn6NtSnQEeIAIlEfXIYsAAAAAEK8aZKZJj1aNLduYpuUsAjzASThaUSWfb9pv2Ub+HQAAAACJwJ6aYl4RAR4nEeABTsKSTfukorLau56SnCTnt2vqaJsAAAAAIBrsN7e37Dsim/eWOtaeREeABzgJ9lKA3VvmSKN6aY61BwAAAACipVPzhtKsQYZlG9O0nEOABzgJlEcHAAAAkKg09+iF7SmXHisI8AB19N2+I/Ktbfhhv4I8x9oDAAAAAE7n4dFKWmXHqhxrTyIjwAPU0VxbArHc+unS+bSGjrUHAAAAAKLtgnZNxbeI8NFjVbJs8wEnm5SwCPAAYcq/c2FBM0lOpjw6AAAAgMTRuH66nJWfY9k2t3C3Y+1JZAR4gDrQylmLNu61bCP/DgAAAIBEZL8WIg+PMwjwAHWwbMt+OVJhnVfatz3l0QEAAAAkHnsensJdh+X74qOOtSdREeAJwZYtW2TkyJFy5plnSv369aVJkybSq1cvGTdunBw5cuSkjq2vnzJlitxzzz3mMRs3bixpaWmSm5srvXv3ltGjR8vOnTvD9l5wcuwR6S6nN5Km2dbygAAAAACQCHSKVqN6aQErDiPyUqNwjrjwwQcfyJAhQ6SkpMQSlFm2bJn5eP3112X69OnSrl27kI+9Zs0a6dOnjxw+fPiE5/bv3y9LliwxHy+88IK8+uqrcsMNN5z0+8HJmVfI9CwAAAAAUCnJSXJB+6by4ZodlpviN57T0tF2JRpG8ARh5cqVZlBFgzvZ2dkyZswYWbRokcyaNUvuuOMOc5/CwkIZOHCgHDp0KOTj63E9wR0N9IwdO1ZmzpwpK1askE8++UTuuusuSU5ONve76aab5KOPPgr7e0TwdpWUydodxwN9/oYkAgAAAEAisd/0XlC0V45VVTvWnkTECJ4gjBgxQo4ePSqpqany6aefmlOmPC6++GJp3769PProo2aQZ/z48eZ0qlBo8Ob666+XUaNGSadOnU54fsCAAXLFFVfI4MGDpaqqSh544AEpKiqSJN9adIga+1DDBpmp0q2FNWs8AAAAACRygOdQeaWs2losvVo3caxNiYYRPLX44osvZP78+eby8OHDLcEdD83L07FjR3N5woQJcuzYsZDOcf7558u7777rN7jjcfXVV8u1115rLm/cuNEcVYTYyL/Tt11TSU3howQAAAAgceU1zJSOzRtats1dTx6eaOKqtBZTp071Lt966601jsAZOnSouVxcXCyzZ8+OSFv69+/vXdYgD6KvqtqQ+UXk3wEAAAAAO8qlO4sATy0WLFhg/tSqWT169Khxv379+nmXFy5cGJG2lJeXe5dTUlIicg4EtnpbsRw8ah2hdSEBHgAAAAA4IcDz5faDsvfw8etYRBY5eGqxdu1a86dWx9IcPDXR0un214Tb3LlzvcueKWGh2LZtW8Dnd+w4nvEc/tmHGBacki2n5dRzrD0AAAAAECt6tGos9dNTpLSiypJs+ZpupzvarkRBgCeAsrIy2bv3h+k4+fn5Afdt3LixOcqntLRUtm7dGva2rF692izDrrp06VKnAE+LFi3C3q5EYx9iyPQsAAAAAPhBemqynN+uqcz8ZpflGooAT3QwRSsA35LnWh69NhrgUZ6S5+GcmnX77bebFbSUlmlH9B0orTCnaPnqV5DnWHsAAAAAINbYb4JrFeLqasOx9iQSRvDUMoLHIz09vdb9MzIyzJ9aUj2c7r//flm2bJm5fMstt8igQYPqdJzaRhbpFK1zzjmnTsdOBPM37BXD53upXlqK9Gzd2MkmAQAAAEBMB3j2lVbI19+XSJf8Ro61KVEQ4AkgMzPTu1xRURF0EuR69cKXk2Xs2LHy+uuvm8u9evWSl156qc7Hqm2aGULLv9O7ba5kppHsGgAAAAA8WjTJkjOa1Zdv95R6t80t3E2AJwqYohVAgwYNvMvBTLvS/DvBTucKxiuvvCJPPPGEN4nzjBkzvNPAEF2GYciijdby6Be2b+pYewAAAAAgVl3Y3jqKZ+GGfY61JZEQ4KllBE9ubm5QFagOHDjgDfCEI5nx22+/Lffee6+53KpVK5k5c6Y0bUpAwSlb9h2RHQePT9lTfdrx7wEAAAAAdvZrpeXfHZCyY8crayEyCPDUolOnTubPDRs2SGVlZY37rVu3zrtclwpXvt5//30ZOnSoVFdXS/PmzWXWrFlMr3LY4m+tEeem2RnSLi88I7UAAAAAIJ6c06aJJCcdX6+orJaV31kL1iD8CPDUom/fvuZPHZ2zfPnyGvebO3eud7lPnz51Pp8Gc66//nozmKSjh3TkTtu2bet8PITH4o3WAM95ZzSRpCSfbywAAAAAgKlRvTTpfFqjgDfNEX4EeGpxzTXXeJcnTZrkdx8daTN58mRzOScnR/r371+ncy1atEiuvvpqM1lzo0aN5JNPPpHOnTvXseUIZ/4d+5eRJlgGAAAAAPhnv2ZaYrtpjvAjwFMLLRt+wQUXmMsTJ06UxYsXn7DP+PHjZe3atebyiBEjJC0tzfL8nDlzzNEe+hg2bJjf86xatUoGDhxojhTSRMrTp0+XHj16ROQ9ITQb95TKnkM/VEjz6H0GAR4AAAAAqIn9mmnl1gNytII8PJFEmfQgTJgwwZx2dfToURkwYIBZ2UpH6ej6O++8I6+++qq5X0FBgYwcOTLk42/cuFEuv/xyKS7+YU7is88+a47g+eqrr2p8TV5envlA5NlH75zSMEPaNKWaGQAAAADUpFebJpKSnCRV1Ya5fqzKkOVbDkhfqhFHDAGeIHTr1k3effddGTJkiJSUlHhLl/vS4I6OuvEtrR6s+fPny+7du73rDz30UK2vGTVqlIwePTrkcyF09qGEGokm/w4AAAAA1Cw7I1W6nN5IVm09nlx58bd7CfBEEFO0gjRo0CBZs2aNGXzRYE5WVpaZb6dnz57y/PPPy8qVK6Vdu3ZONxMRyL+zhPw7AAAAABAy+7WTvXgNwivJ0CtYQES2bdsmLVq0MJe3bt1KaXYRWb/zkFz+4jzLtnmP9JeWuVmOtQkAAAAA3GBe4R4Z+sYX3vXU5CRZPWqA1M9gMtG2CFx/M4IHCGDxxr2W9dNz6kmLJvUcaw8AAAAAuEXP1o0lLeV4eovKakOWbt7vaJviGQEeIIQEy+eRfwcAAAAAgpKVnipn5ecEvMZC+BDgAWpQXW3I55us0WXy7wAAAABA8OzXUPYiNggfAjxADdbuLJHiI8cs2wjwAAAAAEDwtAqxry+3H5SSMut1FsKDAA9QA3uG91a5WWYOHgAAAABAcLq3aizpKcdDD9WGyBffkocnEgjwADU4oTy6LfIMAAAAAAgsMy1FurUkD080EOAB/Kgi/w4AAAAAhIX9Wso+WwLhQYAH8OPr7w/KobJKyzZG8AAAAABA6OzXUj/kO61wrD3xigAP4Ic9onxGs/qS1zDTsfYAAAAAgFud3TJHMlKPhx8MQ1NikIcn3AjwAH7Y54QyegcAAAAA6iYjNUV6tm4cMOcpTh4BHsDmWFW1LCX/DgAAAACEjf2mOXl4wo8AD2Dz5faDUlpRZdl2HiN4AAAAAKDOerdtallfv+uQ7Dtc7lh74hEBHsDGHkkuOCVbmmZnONYeAAAAAHC7rvmNJCs9xbKNPDzhRYAHsLHPBSX/DgAAAACcnLSUZOnVuoll2+Jv9zrWnnhEgAfwUV5ZJUs3k38HAAAAAMLNfm1FHp7wIsAD+Fi99aCUHav2ricliZzbhgAPAAAAAJws++yIjXtKZXdJmWPtiTcEeIAAEeSOpzaUxvXTHWsPAAAAAMSLzqc1lAYZqZZtiymXHjYEeIAAc0CZngUAAAAA4ZGakizntGkSMAcq6o4AD/D/yo5VyYrvii3bSLAMAAAAAOFDHp7IIcAD/L8V3x2Qisrj+XeSk0TOOcMaXQYAAAAA1N15tpvom/cdke+LjzrWnnhCgAf4f0tskeMfnd5IGmamOdYeAAAAAIg3nZo3lEb1rNdZjOIJDwI8QA3JvZieBQAAAADhlZycJOfa8vCQaDk8CPAAInK0okpWbbXm3zmPBMsAAAAAEHbk4YkMAjyAiCzbsl+OVRne9ZTkJOnVmvw7AAAAABDpAM/24qOydf8Rx9oTLwjwAH4ixl3zG0l2Rqpj7QEAAACAeFWQ10Ca1E+3bGMUz8kjwANogmXy7wAAAABA1PLwnGerWGy/JkPoCPAg4ZVXVslX20sClu4DAAAAAISP/Zpr+XcHHGtLvCDAg4SnwZ2KqmrvelKSSLeWOY62CQAAAADiWfeWjS3rW/Ydkb2Hyx1rTzwgwIOEt9IWKdb5oA0y0xxrDwAAAADEuzNPbSBZ6SmWbSu/s1Y2RmgI8CDh2b9Eurdi9A4AAAAARFJqSrJZ3CbQzXeEhgAPEt4K25dIN9tQQQAAAABA5Kdp2a/NEBoCPEhoOw4elR0HyyzbupN/BwAAAAAizn5zffXWg1Lpkx8VoSHAg4S2Yot1elbDzFQ5o2m2Y+0BAAAAgERhL25z9FiVrNt5yLH2uB0BHiQ0f9OzkpOTHGsPAAAAACSKptkZ0io3y7KNPDx1R4AHCc3+5WGfAwoAAAAAiBz7NRiVtOqOAA8SVnlllXy1vSTgEEEAAAAAQOTYr8FItFx3BHiQsL7+vkQqfBJ4JSWJnE2ABwAAAAAcG8Gzed8R2Xe43LH2uBkBHiSsFVuskeH2ednSMDPNsfYAAAAAQKI589QGUi8txbKNaVp1Q4AHCWvlVuuXBvl3AAAAACC6UlOSpWt+I8u2lVuZplUXBHiQsFbaRvAQ4AEAAACA6OveynottmILI3jqggAPEtLOg2Xy/cEyyzYSLAMAAABA9HVrYb0WW72tWCp98qUiOAR4kJDsmdkbZqZK22bZjrUHAAAAABKVfQTPkYoqWb/rkGPtcSsCPEhI9gTLZ7dsLMnJSY61BwAAAAASVdPsDGnZJMuybQWJlkNGgAcJ6cQEy0zPAgAAAACn2K/JVtpmXaB2BHiQcCoqq+XL7Qct27qRYBkAAAAAHGO/JqNUeugI8CDhfP39QTPI4+tsW1IvAAAAAED02Ksab9pbKvtLKxxrjxsR4EHCsc/lbJ+XLY3qpTnWHgAAAABIdGc2byCZadYQBdO0QkOAB5LoFbTskWIAAAAAQHSlpSRL1/ycgNduCIwADxLOKtsInu6tmJ4FAAAAAE6z33wnD09oCPAgoewqKZPtxUct20iwDAAAAADO62arpLV6a7FUVRuOtcdtCPAgoazYYh3i1yAzVdo1y3asPQAAAAAA/yN4SiuqZP3OQ461x20I8CCh2OdwavWs5OQkx9oDAAAAAPhBswYZ0qJJPcs28vAEjwAPErqCFgmWAQAAACB22K/RCPAEjwAPEkZFZbV8uf1gwDmeAAAAAADndGuRE7BIDmpGgAcJ45sdJWaQx1e3FozgAQAAAIBY0b2V9Rrt272lcqC0wrH2uAkBHiRsguV2ednSKCvNsfYAAAAAAKw6Nm8omWnWUMXKrUzTCgYBHiQM+9zN7kzPAgAAAICYkpaSLF1Pt16rrdjCNK1gEOBBwlhJgmUAAAAAiHndWlkDPIzgCQ4BHiSE3SVlsr34qGVbNwI8AAAAABBz7LlSNdFyVbXhWHvcggAPEnJ6VoOMVGmfl+1YewAAAAAA/nW3jeApraiSwl2HHGuPWxDgQUJYYZuedXbLHElOTnKsPQAAAAAA//IaZEp+43oBb9rjRAR4kJAVtJieBQAAAACxy54zlUTLtSPAg7hXUVktX24/aNnWjQpaAAAAABCz7NdsJFquHQEexL21O0qkvLLasq27LWkXAAAAACB2R/B8u6dUio9UONYeNyDAg7hnn6vZtll9aZSV5lh7AAAAAACBdWzeUDJSrSGLlbbcqrAiwIOES7BsjwQDAAAAAGJLemqydM1vZNlGouXACPAg7q20fQl0b0WABwAAAABinf3mPCN4AiPAg7h2qOyYbDtw1LLtrHwSLAMAAABArDu7hfXabd3OEsfa4gYEeBDXinYftqynJCdJ27z6jrUHAAAAABCcglMbWNb3Hq6Q/aUkWq4JAR7EtQ27rAGe1rlZkpGa4lh7AAAAAADBadUkS9JTrGGLol2HHGtPrCPAg7hWaPvwt8+zRoABAAAAALEpNSVZzmhmnYFRaJulgeMI8CChpmgVnJLtWFsAAAAAAKFpf4r1Jv0GRvDUiAAP4pp9+F4725cDAAAAACB2tc+z3qQvtKXhwHEEeBDXFbS+P1hm2cYIHgAAAABwD/s1nH2WBo4jwIO4tcFPBa02TamgBQAAAABunaK193C5HKCSll8EeBC3imxD91pRQQsAAAAAXF9Jy15MBz8gwIO4VbTb+qEvoIIWAAAAALi+khbTtPwjwIO4ZU++1Z78OwAAAADgOu1siZbtxXTwAwI8SJgcPPa5mwAAAACA2Fdgu5ZjBI9/BHgQlw6XV8r24qMBy+sBAAAAAGIfpdKDQ4AHcck+ZE8raNnnbQIAAAAAYh+VtIJDgAdxyT5kjwpaAAAAAOBOrXOzJC0lybKNaVonIsCDhBjBw/QsAAAAAHBxJa2m9mlaJFq2I8CDuGSP5tqTcgEAAAAA3MNeFdleVAcEeBCnimxJt+xl9QAAAAAA7tE+z3rTnhE8JyLAg4SooMUIHgAAAABwrwLbCB4qaZ2IAA/ijn2oXnKSUEELAAAAAFyMSlq1I8CDuGMfqtc6tz4VtAAAAADAxbQyMpW0AiPAg7gfwWNPxgUAAAAAcJc0P5W0inaTh8cXAR7E/QgeezIuAAAAAID7tLPdvLcX10l0BHgQd+wfckbwAAAAAID7FVBJKyACPIgrVNACAAAAgMSopEUOHisCPIj7ClptmlJBCwAAAADczj47Y8+hcik+QiUtDwI8iCtFfipoZaZRQQsAAAAA3K5Vbn0qaQVAgAdxxf7hbpdH/h0AAAAAiJdKWvYZGuThOY4AD+KK/cNN/h0AAAAAiB/tbdd4VNI6jgAP4goVtAAAAAAgcSppFe1mBI8HAR7EjVI/FbTa2z78AAAAAAD3st/EL2QEjxcBHsR1Ba0zmlFBCwAAAADitVQ6lbSOI8CDuM2/oxnWqaAFAAAAAPGDSlo1I8CDuGH/ULenghYAAAAAxBUqadWMAA/iRhEVtAAAAAAg7lFJyz8CPIgb9uRaVNACAAAAgPhjn61BJa0fEOBBXKCCFgAAAAAkBvtsDUbw/IAAD+ICFbQAAAAAIDFH8Ow+VC4HjxyTREeAB3GBCloAAAAAkBhaNz2xklYh07QI8CA+R/BQQQsAAAAAEqeSVhHTtAjwID5H8JBgGQAAAADilz3naiGl0gnwID4U2UbwUCIdAAAAAOKX/ab+Bts1YSIiwIO4qKC17YC1glY7pmgBAAAAQNxiBM+JCPAgLitotW1GgAcAAAAA4lWBbQTPbippEeBB/E3PatkkiwpaAAAAABDHtHJyqt7d91GU4JW0CPDA9YpOSLBM/h0AAAAAiGfpqSdW0ipM8EpaBHhCsGXLFhk5cqSceeaZUr9+fWnSpIn06tVLxo0bJ0eOHAnbeT766CMZPHiw5OfnS0ZGhvlT13U7gkmwzPQsAAAAAIh39uI6RQk+gifV6Qa4xQcffCBDhgyRkpIS7zYN6ixbtsx8vP766zJ9+nRp165dnc9RXV0td955p0ycONGyffv27eZj6tSpcvvtt8srr7wiycnE5moskW5LtgUAAAAAiD/24jpFjOBBbVauXCk33HCDGdzJzs6WMWPGyKJFi2TWrFlyxx13mPsUFhbKwIED5dChukcMn3zySW9wp1u3bvL222/LF198Yf7UdaWBpF//+tdhemfxWUHLXi4PAAAAABD/I3gKE7ySFiN4gjBixAg5evSopKamyqeffiq9e/f2PnfxxRdL+/bt5dFHHzWDPOPHj5fRo0eHfA597e9+9ztzuWfPnjJv3jypV6+eua7TwK666irp16+fOVpIp4TddtttJzVaKF5s3EMFLQAAAABIRO1rqKTVKCtNEhEjeGqhI2jmz59vLg8fPtwS3PHQvDwdO3Y0lydMmCDHjoVemu3FF1+UyspKc/mPf/yjN7jjkZWVZW5Xut8LL7xQp/cTb+xJtKigBQAAAACJoTWVtCwI8NRC89543HrrrX730Xw4Q4cONZeLi4tl9uzZIZ3DMAyZNm2auawJnM877zy/++n2Dh06mMu6v74u0dk/vFTQAgAAAIDEraRVZCvCk0gI8NRiwYIF5k+tmtWjR48a99PpUx4LFy4M6RybNm2S77///oTjBDqPJl3evHmzJDp7Eq32tiRbAAAAAIDEmaZVmMB5eMjBU4u1a9eaPzXfjebgqYmOvLG/JljffPON3+MEc542bdoEfZ5t27YFfH7Hjh3iNvYPrz3JFgAAAAAgfv1QRXmndz2RK2kR4AmgrKxM9u7day7n5+cH3Ldx48bmKJ/S0lLZunVrSOfxDbzUdp4WLVp4l0M9j+9r48GRihMraNnL5AEAAAAAEmcETxE5eOCPb8lzLY9eGw3wqMOHD0fsPJ5z1OU88WaDbW6l5tYiwAMAAAAAicM+i2NXSbkcPBp64aN4wAieWkbweKSnp9e6f0ZGhvlTS6pH6jyec9TlPLWN+NEpWuecc464RZIkycVn5pnTtHQkDxW0AAAAACAxK2lVG4a5rCN6SssrpVG9xCuVToAngMzMTO9yRUVFrfuXl5ebP+0lzsN5Hs856nKe2qZ/uU2X/EbyxrBe3ulaew4d/90AAAAAABKjktYnD10o+Y3rSUZqYt/wJ8ATQIMGDUKaDqX5d4KdzlXX83jOUZfzxLOs9FRplUt3BgAAAIBE07YZ18aKHDy1jKzJzc0NqgLVgQMHvMGXUJMZ+46sqe08vtOs4i1pMgAAAAAAqBsCPLXo1KmT+XPDhg1SWVlZ437r1q3zLnfs2LFO57AfJ9znAQAAAAAA8YkATy369u1r/tTROcuXL69xv7lz53qX+/TpE9I52rRpI6eddtoJx/Fn3rx55s/TTz9dWrduHdJ5AAAAAABAfCLAU4trrrnGuzxp0iS/+1RXV8vkyZPN5ZycHOnfv39I50hKSpKrr77aO0JnyZIlfvfT7Z4RPLq/vg4AAAAAAIAATy20bPgFF1xgLk+cOFE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", 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" ] }, "metadata": { "image/png": { "height": 439, "width": 572 } }, "output_type": "display_data" } ], "source": [ "def entropy(probs):\n", " if 0 in probs:\n", " return 0\n", " else:\n", " return sum([px * h(px) for px in probs])\n", "\n", "\n", "px_space = np.linspace(0, 1, 100)\n", "y = [entropy([px, 1 - px]) for px in px_space]\n", "\n", "plt.plot(px_space, y)\n", "plt.xlabel(\"Probability of event $x_1$\", fontsize=14)\n", "plt.ylabel(\"Entropy (bits)\", fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the entropy is maximized when the two events are equiprobable, that is, for uniform distributions. The entory is also defined in a similar way for continous random variables and is called *differential entropy*:\n", "\n", "$$\n", "\\text{H}[\\mathbf{x}] = -\\int p(\\mathbf{x}) \\ln p(\\mathbf{x})\\text{d}\\mathbf{x}\n", "$$\n", "\n", "In the case of a joint distribution $p(\\mathbf{x},\\mathbf{y})$, the average additional information needed to specify $\\mathbf{y}$ given that the value of $\\mathbf{x}$ is already known, is called *conditional entropy*, and is given by\n", "\n", "$$\n", "\\text{H}[\\mathbf{y}|\\mathbf{x}] = \n", "-\\int p(\\mathbf{x},\\mathbf{y}) \\ln p(\\mathbf{y}|\\mathbf{x})\\text{d}\\mathbf{x}\\text{d}\\mathbf{y}\n", "$$\n", "\n", "Moreover it is easily seen, using the product rule, that the conditional entropy satisfies the relation,\n", "\n", "$$\n", "\\begin{aligned}\n", "\\text{H}[\\mathbf{x},\\mathbf{y}] &= \n", "-\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln p(\\mathbf{x},\\mathbf{y})\\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= -\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln \\big(p(\\mathbf{y}|\\mathbf{x})p(\\mathbf{x})\\big)\\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= -\\int\\int p(\\mathbf{x},\\mathbf{y}) \\big(\\ln p(\\mathbf{y}|\\mathbf{x}) + \\ln p(\\mathbf{x})\\big) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= -\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln p(\\mathbf{y}|\\mathbf{x}) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y}\n", "-\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln p(\\mathbf{x}) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= -\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln p(\\mathbf{y}|\\mathbf{x}) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y}\n", "-\\int\\int p(\\mathbf{x},\\mathbf{y})\\text{d}\\mathbf{y} \\ln p(\\mathbf{x}) \\text{d}\\mathbf{x} \\\\\n", "&= -\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln p(\\mathbf{y}|\\mathbf{x}) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y}\n", "-\\int p(\\mathbf{x}) \\ln p(\\mathbf{x}) \\text{d}\\mathbf{x} \\\\\n", "&= \\text{H}[\\mathbf{y}|\\mathbf{x}] + \\text{H}[\\mathbf{x}]\n", "\\end{aligned}\n", "$$\n", "\n", "stating that the information needed to describe $\\mathbf{x}$ and $\\mathbf{y}$ is given by the information needed to describe $\\mathbf{x}$ alone plus the additional information to specify $\\mathbf{y}$.\n", "\n", "## 1.6.1 Relative entropy and mutual information\n", "\n", "Consider some unknown distribution $p(\\mathbf{x})$ that we have modelled using an approximate distribution $q(\\mathbf{x})$. Then, the average *additional* information required to specify a value of $\\mathbf{x}$ as a result of using $q(\\mathbf{x})$ instead of $p(\\mathbf{x})$ is given by\n", "\n", "$$\n", "\\text{KL}(p||q) = \n", "-\\int p(\\mathbf{x})\\ln q(\\mathbf{x})d\\mathbf{x} \n", "-\\bigg( -\\int p(\\mathbf{x}) \\ln q(\\mathbf{x})d\\mathbf{x} \\bigg) =\n", "-\\int p(\\mathbf{x}) \\big( \\ln q(\\mathbf{x}) - \\ln p(\\mathbf{x}) \\big) d\\mathbf{x} = \n", "-\\int p(\\mathbf{x}) \\ln\\big( \\frac{q(\\mathbf{x})}{p(\\mathbf{x})} \\big) d\\mathbf{x}.\n", "$$\n", "\n", "This is known as the *relative entropy* or *Kullback-Leibler divergence* between distributions $p(\\mathbf{x})$ and $q(\\mathbf{x})$. Note that it is not a symmetrical quantity, that is to say $\\text{KL}(p||q) \\neq \\text{KL}(q||p)$. Moreover the Kullback-Leibler divergence satisfies $\\text{KL}(p||q) \\geq 0$, where the equality holds if, and only if, $p(\\mathbf{x}) = q(\\mathbf{x})$. Thus, we can interpret the Kullback-Leibler divergence as a measure of dissimilarity of the two distributions.\n", "\n", "Since the most efficient compression is achieved when we know the true distribution, otherwise additional information is required, there is an important relationship between data compression and density estimation.\n", "\n", "Suppose we are trying to approximate the unknown distribution using some parametric distribution $q(\\mathbf{x}|\\mathbf{\\theta})$, governed by a set of adjustable parameters $\\mathbf{\\theta}$, for instance a multivariate Gaussian distribution. One way to determine $\\mathbf{\\theta}$ is to minimize the Kullback-Leibler divergence between $p(\\mathbf{x})$ and $q(\\mathbf{x}|\\mathbf{\\theta})$. This is impossible since we do not know $p(\\mathbf{x})$. However, if we have observed a finite set of training points $\\mathbf{x}_n$ drawn from $p(\\mathbf{x})$, then the expectation with respect to $p(\\mathbf{x})$ can be approximated by a finite sum over these points, using $(1.35)$, so that,\n", "\n", "$$\n", "\\text{KL}(p||q) \\approx \n", "\\frac{1}{N} \\sum_{n=1}^{N} \\big( -\\ln q(\\mathbf{x}_n|\\mathbf{\\theta}) + \\ln p(\\mathbf{x}_n) \\big)\n", "$$\n", "\n", "Since the second term is independent of $\\mathbf{\\theta}$, minimizing this **approximated** Kullback-Leibler divergence is equivalent to minimizing the log likelihood function of $q(\\mathbf{x}_n|\\mathbf{\\theta})$ evaluated on the training set.\n", "\n", "### Mutual information\n", "\n", "Consider the joint distribution $p(\\mathbf{x},\\mathbf{y})$ between two sets of variables $\\mathbf{x}$ and $\\mathbf{y}$. If the sets are independent, then $p(\\mathbf{x},\\mathbf{y})=p(\\mathbf{x})(\\mathbf{y})$. If the variables are not independent, we can measure whether they are *close* to being independent* by considering the Kullback-Leibler divergence between the joint distribution and the product of their marginals, given by\n", "\n", "$$\n", "\\text{I}[\\mathbf{x},\\mathbf{y}] = \\text{KL}(p(\\mathbf{x},\\mathbf{y})||p(\\mathbf{x})p(\\mathbf{y})) =\n", "-\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln \\bigg( \\frac{p(\\mathbf{x})p(\\mathbf{y})}{p(\\mathbf{x},\\mathbf{y})} \\bigg) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \n", "$$\n", "\n", "which is called the *mutual information* of variables $\\mathbf{x}$ and $\\mathbf{y}$. The mutual information satisfies $\\text{I}[\\mathbf{x},\\mathbf{y}] \\geq 0$ where the equality holds if, and only if, $\\mathbf{x}$ and $\\mathbf{y}$ are independent. Moreover, using the sum and product rules of probability, we can prove that the mutual information is related to the conditional entropy,\n", "\n", "$$\n", "\\begin{aligned}\n", "\\text{I}[\\mathbf{x},\\mathbf{y}] &= \n", "-\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln \\bigg( \\frac{p(\\mathbf{x})p(\\mathbf{y})}{p(\\mathbf{x},\\mathbf{y})} \\bigg) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= -\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln \\bigg( \\frac{p(\\mathbf{x})p(\\mathbf{y})}{p(\\mathbf{x}|\\mathbf{y})p(\\mathbf{y})} \\bigg) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= -\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln \\bigg( \\frac{p(\\mathbf{x})}{p(\\mathbf{x}|\\mathbf{y})} \\bigg) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= -\\int\\int p(\\mathbf{x},\\mathbf{y}) \\bigg( \\ln p(\\mathbf{x}) - \\ln p(\\mathbf{x}|\\mathbf{y}) \\bigg) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= -\\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln p(\\mathbf{x}) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \n", "+ \\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln p(\\mathbf{x}|\\mathbf{y}) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= -\\int\\int p(\\mathbf{x},\\mathbf{y})\\text{d}\\mathbf{y} \\ln p(\\mathbf{x}) \\text{d}\\mathbf{x}\n", "+ \\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln p(\\mathbf{x}|\\mathbf{y}) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= -\\int p(\\mathbf{x}) \\ln p(\\mathbf{x}) \\text{d}\\mathbf{x}\n", "+ \\int\\int p(\\mathbf{x},\\mathbf{y}) \\ln p(\\mathbf{x}|\\mathbf{y}) \\text{d}\\mathbf{x}\\text{d}\\mathbf{y} \\\\\n", "&= \\text{H}[\\mathbf{x}] - \\text{H}[\\mathbf{x}|\\mathbf{y}] = \\text{H}[\\mathbf{y}] - \\text{H}[\\mathbf{y}|\\mathbf{x}]\n", "\\end{aligned}\n", "$$" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 4 }