{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# An Introduction to Experimental Design with Emukit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overview" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# General imports\n", "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib import colors as mcolors\n", "\n", "# Figure config\n", "LEGEND_SIZE = 15" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Navigation\n", "\n", "1. [What is experimental design?](#1.-What-is-experimental-design?)\n", "\n", "2. [The ingredients of experimental design](#2.-The-ingredients-of-experimental-design)\n", "\n", "3. [Emukit's experimental design interface](#3.-Emukit's-experimental-design-interface)\n", "\n", "4. [References](#4.-References)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. What is experimental design?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider a function $f: \\mathbb{X} \\rightarrow \\mathbb{R}$, $x\\mapsto f(x)$ which is defined in some constrained input space $\\mathbb{X}$. The function might be unknown, and we may only learn about it by querying it at some locations $x$ to obtain (possibly noisy) measurements $y(x) = f(x) + \\epsilon$, $\\epsilon \\sim \\mathcal{N}(0, \\sigma^2_{noise})$.\n", "*Experimental design* (ExpDesign) tries to predict the function $f(x)$ as accurately as possible also in locations where it has not been observed. This is especially useful if one needs to know the value of $f$ at a particular point $x_{new}$ but it would take too long in real life to evaluate $f$. This happens for example when $f(x)$ is the output of a time-consuming computer simulation, and a decision that needs to be made depends on the value $f(x_{new})$. \n", "An example of such a scenario might be a simulation of a tsunami [[Saito, 2019]](#4.-References) \n", "that is being run whenever an earthquake happens, in order to decide if inhabited regions need to be evacuated, and there is just not enough time to query the precise but expensive simulation. The function $f(x)$ in this case might describe the severity of the tsunami (wave height), and the inputs $x$ might describe physical measurement on the ocean ground.\n", "An *emulator* for the function $f$ that can be queried instead of the simulation, and would give an approximate answer with a calibrated error bar which can be used to make the decision instead. For this, the emulator first needs to be trained on \"datapoints\" which are the results of previous simulation runs of $f$.\n", "\n", "To make an emulator as reliable and functional as possible, the aim is to learn the function $f$ as well as possible given some limited number of function evaluations.\n", "\n", "There are two crucial bits in experimental design:\n", "\n", " - A prior probability measure $p(f)$ which captures our prior beliefs on $f$, called the model. Everytime we observe new data $D$ the prior will be updated to a 'posterior' $p(f|D)$ using the available data. Obtaining the data $D$ would require running the costly simulation.\n", "\n", " - An acquisition function $a: \\mathbb{X} \\rightarrow \\mathbb{R}$ which for each point in the input space quantifies the utility of evaluating this point. The central idea of the acquisition function is that the next point that will be acquired should be maximally informative to learn $f$.\n", "\n", "Given these ingredients, ExpDesign essentially iterates the following three steps: \n", "1. fit the model $p(f|D_{n})$ on the currently available data $D_{n}$.\n", "2. find the most interesting point to evaluate by $x_{n+1} \\in \\operatorname*{arg\\:max}_{x \\in \\mathbb{X}} a_n(x)$\n", "3. evaluate the objective function at $x_{n+1}$, obtain $y_{n+1}$ and add the new observation to the data $D_{n+1} \\leftarrow D_{n} \\cup \\{x_{n+1}, y_{n+1}\\}$.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. The ingredients of experimental design" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

The Objective Function and the Input Space

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example let's assume we want to learn the one-dimensional forrester function: \n", "\n", "$$\n", "f(x) = (6x - 2)^2\\sin(12x - 4)\n", "$$\n", "\n", "which is defined over the interval $x \\in [0, 1]$. In this example we know the functional form of $f$, but in practice we may not.\n", "\n", "Conviently, this function is already implemented in Emukit. Note that in order to pass it to other Emukit modules we wrap the function by the UserFunctionWrapper interface." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from emukit.test_functions import forrester_function\n", "from emukit.core.loop.user_function import UserFunctionWrapper\n", "from emukit.core import ContinuousParameter, ParameterSpace\n", "\n", "target_function, space = forrester_function()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `space` object defines the input space $X = [0, 1]$, which in this case is purely continuous and only one dimensional. We may also apply experimental design in other domains that contain discrete or categorical parameters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course in reality, evaluating $f$ on a grid wouldn't be possible, but since the forrester function is a synthetic function we can evaluate it here for visualization purposes." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_plot = np.linspace(space.parameters[0].min, space.parameters[0].max, 301)[:, None]\n", "y_plot = target_function(x_plot)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(x_plot, y_plot, \"k\", label=\"Target Function\")\n", "plt.legend(loc=2, prop={'size': LEGEND_SIZE})\n", "plt.xlabel(r\"$x$\")\n", "plt.ylabel(r\"$f(x)$\")\n", "plt.grid(True)\n", "plt.xlim(0, 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

The Intial Design

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Usually, before we start the actual ExpDesign loop we need to gather a few observations such that we can fit the model. This is called the initial design and common strategies are either a predefined grid or sampling points uniformly at random. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X_init = np.array([[0.2],[0.6], [0.9]])\n", "Y_init = target_function(X_init)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(X_init, Y_init, \"ro\", markersize=10, label=\"Observations\")\n", "plt.plot(x_plot, y_plot, \"k\", label=\"Target Function\")\n", "plt.legend(loc=2, prop={'size': LEGEND_SIZE})\n", "plt.xlabel(r\"$x$\")\n", "plt.ylabel(r\"$f(x)$\")\n", "plt.grid(True)\n", "plt.xlim(0, 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

The Model

\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can start with the ExpDesign loop by first fitting a model on the collected data. \n", "A popular model for ExpDesign is a Gaussian process (GP) which defines a probability distribution across classes of functions, typically smooth, such that each linear finite-dimensional restriction is multivariate Gaussian [(Rasmussen and Williams, 2006)](#4.-References). GPs are fully parametrized by a mean $\\mu(x)$ and a covariance function $k(x,x')$. Without loss of generality $\\mu(x)$ is assumed to be zero. The covariance function $k(x,x')$ characterizes the smoothness and other properties of $f$. It is known that the kernel of the process has to be continuous, symmetric and positive definite. A widely used kernel is the squared exponential or RBF kernel: $$ k(x,x') = \\theta_0 \\cdot \\exp{ \\left(-\\frac{\\|x-x'\\|^2}{\\theta_1}\\right)} $$ where $\\theta_0$ and and $\\theta_1$ are hyperparameters.\n", "To denote that $f$ is a sample from a GP with mean $\\mu$ and covariance $k$ we write\n", "$$f \\sim \\mathcal{GP}(\\mu,k).$$ \n", "\n", "For regression tasks, the most important feature of GPs is that process priors are conjugate to the likelihood from finitely many observations $Y = (y_1,\\dots,y_n)^T$ and $X =\\{x_1,...,x_n\\}$, $x_i\\in \\mathcal{X}$ of the form $y_i = f(x_i) + \\epsilon_i$ where $\\epsilon_i \\sim \\mathcal{N} (0,\\sigma_{noise}^2)$ and we estimate $\\sigma_{noise}$ by an additional hyperparameter $\\theta_2$.\n", "We obtain the Gaussian posterior $f(x^*)|X, Y, \\theta \\sim \\mathcal{N}(\\mu(x^*),\\sigma^2(x^*))$, where $\\mu(x^*)$ and $\\sigma^2(x^*)$ have a close form. See [(Rasmussen and Williams, 2006)](#4.-References) for more details." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that Gaussian processes are also characterized by hyperparameters $\\theta = \\{\\theta_0, ... \\theta_k\\}$ such as for instance the kernel lengthscales. For simplicitly we keep these hyperparameters fixed here. However, we usually either optimize or sample these hyperparameters using the marginal loglikelihood of the GP. Of course we could also use any other model that returns a mean $\\mu(x)$ and variance $\\sigma^2(x)$ on an arbitrary input points $x$ such as Bayesian neural networks or random forests." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import GPy\n", "from emukit.model_wrappers.gpy_model_wrappers import GPyModelWrapper\n", "\n", "gpy_model = GPy.models.GPRegression(X_init, Y_init, GPy.kern.RBF(1, lengthscale=0.08, variance=20), noise_var=1e-10)\n", "emukit_model = GPyModelWrapper(gpy_model)\n", "\n", "mu_plot, var_plot = emukit_model.predict(x_plot)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(X_init, Y_init, \"ro\", markersize=10, label=\"Observations\")\n", "plt.plot(x_plot, y_plot, \"k\", label=\"Objective Function\")\n", "plt.plot(x_plot, mu_plot, \"C0\", label=\"Model\")\n", "plt.fill_between(x_plot[:, 0],\n", " mu_plot[:, 0] + np.sqrt(var_plot)[:, 0],\n", " mu_plot[:, 0] - np.sqrt(var_plot)[:, 0], color=\"C0\", alpha=0.6)\n", "plt.fill_between(x_plot[:, 0],\n", " mu_plot[:, 0] + 2 * np.sqrt(var_plot)[:, 0],\n", " mu_plot[:, 0] - 2 * np.sqrt(var_plot)[:, 0], color=\"C0\", alpha=0.4)\n", "plt.fill_between(x_plot[:, 0],\n", " mu_plot[:, 0] + 3 * np.sqrt(var_plot)[:, 0],\n", " mu_plot[:, 0] - 3 * np.sqrt(var_plot)[:, 0], color=\"C0\", alpha=0.2)\n", "plt.legend(loc=2, prop={'size': LEGEND_SIZE})\n", "plt.xlabel(r\"$x$\")\n", "plt.ylabel(r\"$f(x)$\")\n", "plt.grid(True)\n", "plt.xlim(0, 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

The Acqusition Function

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the second step of our ExpDesign loop we use our model to compute the acquisition function. Two example of ExpDesign acquisition functions are:\n", "\n", "\n", "**Uncertainty Sampling (US)**: Choose the next value $x_{n+1}$ at the location where the model on $f(x)$ has the highest marginal predictive variance\n", "\n", "$$\n", "a_{US}(x) = \\sigma^2(x)\n", "$$ \n", "\n", "This makes sure, that we learn the function $f$ everywhere on $\\mathbb{X}$ to a similar level of absolute error.\n", "\n", "\n", "**Integrated variance reduction (IVR)**: Choose the next value $x_{n+1}$ such that the total variance of the model is reduced maximally [[Sacks et al. 1989]](#4.-References).\n", "\n", "$$\n", "a_{IVR} = \\int_{\\mathbb{X}}[\\sigma^2(x') - \\sigma^2(x'; x)]\\mathrm{d}x'\\approx \n", "\\frac{1}{\\# samples}\\sum_i^{\\# samples}[\\sigma^2(x_i) - \\sigma^2(x_i; x)].\n", "$$\n", "\n", "Here $\\sigma^2(x'; x)$ is the predictive variance at $x'$ had $x$ been observed. Thus IVR compute the overall reduction in variance (for all points in $\\mathbb{X}$) had $f$ been observed at $x$.\n", "The finite sum approximation on the right hand side of the equation is usually used because the integral over $x'$ is not analytic. In that case $x_i$ are sampled randomly. For a GP model the right hand side simplifies to $a_{LCB} \\approx \\frac{1}{\\# samples}\\sum_i^{\\# samples}\\frac{k^2(x_i, x)}{\\sigma^2(x)}$.\n", "\n", "IVR is arguably te more principled approach, but often US is preferred over IVR simply because it lends itself to gradient based optimization more easily, is cheaper to compute, and is exact. \n", "For both of them (stochastic) gradient base optimizers are used to retrieve $x_{n+1} \\in \\operatorname*{arg\\:max}_{x \\in \\mathbb{X}} a(x)$. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from emukit.experimental_design.acquisitions import IntegratedVarianceReduction, ModelVariance\n", "\n", "us_acquisition = ModelVariance(emukit_model)\n", "ivr_acquisition = IntegratedVarianceReduction(emukit_model, space)\n", "\n", "us_plot = us_acquisition.evaluate(x_plot)\n", "ivr_plot = ivr_acquisition.evaluate(x_plot)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(x_plot, us_plot / np.max(us_plot), \"green\", label=\"US\")\n", "plt.plot(x_plot, ivr_plot / np.max(ivr_plot) , \"purple\", label=\"IVR\")\n", "\n", "plt.legend(loc=1, prop={'size': LEGEND_SIZE})\n", "plt.xlabel(r\"$x$\")\n", "plt.ylabel(r\"$f(x)$\")\n", "plt.grid(True)\n", "plt.xlim(0, 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Evaluating the objective function

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To find the next point to evaluate we optimize the acquisition function using a standard gradient descent optimizer." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from emukit.core.optimization import GradientAcquisitionOptimizer\n", "\n", "optimizer = GradientAcquisitionOptimizer(space)\n", "x_new, _ = optimizer.optimize(us_acquisition)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(x_plot, us_plot / np.max(us_plot), \"green\", label=\"US\")\n", "plt.axvline(x_new, color=\"red\", label=\"x_next\", linestyle=\"--\")\n", "plt.legend(loc=1, prop={'size': LEGEND_SIZE})\n", "plt.xlabel(r\"$x$\")\n", "plt.ylabel(r\"$f(x)$\")\n", "plt.grid(True)\n", "plt.xlim(-0.01, 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Afterwards we evaluate the true objective function and append it to our initial observations." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "y_new = target_function(x_new)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "X = np.append(X_init, x_new, axis=0)\n", "Y = np.append(Y_init, y_new, axis=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After updating the model, you can see that the uncertainty about the true objective function in this region decreases and our model becomes more certain." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "emukit_model.set_data(X, Y)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu_plot, var_plot = emukit_model.predict(x_plot)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(emukit_model.X, emukit_model.Y, \"ro\", markersize=10, label=\"Observations\")\n", "plt.plot(x_plot, y_plot, \"k\", label=\"Target Function\")\n", "plt.plot(x_plot, mu_plot, \"C0\", label=\"Model\")\n", "plt.fill_between(x_plot[:, 0],\n", " mu_plot[:, 0] + np.sqrt(var_plot)[:, 0],\n", " mu_plot[:, 0] - np.sqrt(var_plot)[:, 0], color=\"C0\", alpha=0.6)\n", "plt.fill_between(x_plot[:, 0],\n", " mu_plot[:, 0] + 2 * np.sqrt(var_plot)[:, 0],\n", " mu_plot[:, 0] - 2 * np.sqrt(var_plot)[:, 0], color=\"C0\", alpha=0.4)\n", "plt.fill_between(x_plot[:, 0],\n", " mu_plot[:, 0] + 3 * np.sqrt(var_plot)[:, 0],\n", " mu_plot[:, 0] - 3 * np.sqrt(var_plot)[:, 0], color=\"C0\", alpha=0.2)\n", "plt.legend(loc=2, prop={'size': LEGEND_SIZE})\n", "plt.xlabel(r\"$x$\")\n", "plt.ylabel(r\"$f(x)$\")\n", "plt.grid(True)\n", "plt.xlim(0, 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Emukit's experimental design interface" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course in practice we don't want to implement all of these steps our self. Emukit provides a convenient and flexible interface to apply experimental design. Below we can see how to run experimental design on the exact same function for 10 iterations." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization restart 1/1, f = 10.389046310690773\n", "Optimization restart 1/1, f = 12.430645421282618\n", "Optimization restart 1/1, f = 14.401713059514762\n", "Optimization restart 1/1, f = 18.27927905465763\n", "Optimization restart 1/1, f = 20.356481039870744\n", "Optimization restart 1/1, f = 28.894340531087423\n", "Optimization restart 1/1, f = 31.59183877266898\n", "Optimization restart 1/1, f = 34.50383358105009\n", "Optimization restart 1/1, f = 26.515314304617206\n", "Optimization restart 1/1, f = 25.486082708992214\n", "Optimization restart 1/1, f = 23.697850766802002\n" ] } ], "source": [ "from emukit.experimental_design.experimental_design_loop import ExperimentalDesignLoop\n", "\n", "ed = ExperimentalDesignLoop(space=space, model=emukit_model)\n", "\n", "ed.run_loop(target_function, 10)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtoAAAHjCAYAAAAdc7jLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzs3Xd4VGXi9vHvmWTSCwkhhSJdQDpEI4IQOihKEQR3saxKlx9gryvuu6vrslh2FV1gFRZ2JYgCNmwrEZAgTUQBAWkhEAgQSK8z5/0jkCUkQAJJziRzf65rrmTOnDnnnnG4vHl45jmGaZqIiIiIiEjlslkdQERERESkNlLRFhERERGpAiraIiIiIiJVQEVbRERERKQKqGiLiIiIiFQBFW0RERERkSqgoi0iIiIiUgVUtEVEREREqoCKtoiIiIhIFfC0OsCVqlOnjtmiRQurY4iLycrKwt/f3+oY4mL0uZCy6HMhZdHnQsqyZcuWk6Zp1qvo82ps0Y6IiGDz5s1WxxAXEx8fT2xsrNUxxMXocyFl0edCyqLPhZTFMIxDV/I8TR0REREREakCKtoiIiIiIlVARVtEREREpAqoaIuIiIiIVAEVbRERERGRKlBjVx25nPT0dFJSUigoKLA6ilSj4OBgdu3aZXUMl2C32wkPDycoKMjqKCIiIm6pVhbt9PR0jh8/ToMGDfD19cUwDKsjSTXJyMggMDDQ6hiWM02TnJwcjhw5AqCyLSIiYoFaOXUkJSWFBg0a4Ofnp5ItbskwDPz8/GjQoAEpKSlWxxEREXFLtbJoFxQU4Ovra3UMEcv5+vpq+pSIiIhFamXRBjSSLYL+HIiIiFip1hZtERERERErqWiLiIiIiFQBFe0aYMGCBcTExODv709QUBC9evXio48+KrFPbGwsI0eOtChh5Vq6dCkLFiwotb02vUYRERGp/VS0L2XfPpg8GYKCwGYr+jl5ctH2ajJp0iQefPBBYmJiWLFiBXFxcTRp0oShQ4fy8ssvV1uO6nSxoj1nzhxeeuml6g8kIiIicgVq5TralWLVKhg5EgoKim4AGRkwfz4sXAjLlsHgwVUaYcWKFbz99tu89dZbTJw4sXj74MGDiYyM5Omnn6Z///506dKlSnNcTk5OTrWs8nLddddV+TlERETEje3bB7Nnw+LFkJkJAQEwdiw+4H0lh9OIdln27Ssq2dnZ/yvZ5xQUFG0fObLKR7Zff/11WrRowbhx40o99vTTTxMYGMgbb7xRYvvcuXNp0qQJvr6+3HrrrcUXLDnnpZdeokWLFvj4+BAREcGgQYM4duxY8eOpqalMmDCBiIgIfHx8uOmmm/j+++9LHMMwDF555RWmT59OvXr1aN++Pc8//zyRkZE4nc4S+37yyScYhsGvv/4KwL/+9S969OhBaGgoISEh9O7dm82bNxfvf9999/HBBx/w7bffYhgGhmEwc+ZMoOypI9988w0xMTHFr2fGjBlkZmYWPx4fH49hGMTHxzNq1CgCAgJo1qwZc+bMKXGcHTt2MGjQIEJDQ/H396dNmza8+eabZf53ERERkVpo1Sro0KFoUDUjA0yzeJD1Orii0T6NaJdl9uzSBftCBQXw6qtwQdGtLIWFhSQkJDB58mQ8PDxKPR4cHEzv3r1Zs2ZN8baEhAR2797NK6+8Qm5uLk888QTDhg1j06ZNQFHJffHFF3n55Zdp27Ytp06d4ptvviErKwuAvLw8+vXrx5kzZ5g1axbh4eG89dZb9OvXj7179xIZGVl8rlmzZtGzZ08WLVqE0+mkadOm/OEPf+Dbb7+ld+/exfstXbqUrl270qJFCwAOHjzIPffcQ/PmzcnPz+c///kPPXv25Oeff6ZZs2Y899xzJCYmcubMmeIy3LBhwzLfo507dzJo0CD69+/PBx98wOHDh3nyySdJSkri888/L7HvuHHjuPfeexk/fjzvvfceU6ZMITo6mhtuuAGA22+/ndatW7N48WK8vb3ZvXs36enpFf7vJiIiIjXQ+YOsF1jvG4JRkHJlg9OmadbI27XXXmtezM6dOy/6WLkEBppm0d9jLn0LCrq681xCcnKyCZivvfbaRfeZNm2a6ePjY5qmafbq1cv09PQ0Dx48WPz4unXrTMBctWqVaZqmOWXKFHPEiBEXPd78+fNNu91u7tmzp3hbQUGB2axZM/PRRx8t3gaYnTp1KvX8Dh06mBMmTCi+n5ubawYFBZmzZs0q83wOh8MsKCgwW7VqZb7wwgvF2++44w6zV69epfbv1auXeccddxTfHz16tNmiRQuzsLCweNuCBQtMwFy/fr1pmqa5evVqEzCfe+654n3y8/PNsLAw84knnjBN0zRPnDhhAub27dsv+t7UZFf956EWWL16tdURxAXpcyFl0efCTU2aZJp2e4med8rTyxzU817zmkdXmF3BNK+gr2rqSFnOm3pQKftVky5dutC4cePi+927dyc8PJyNGzcC0KlTJz777DOef/55Nm7ciMPhKPH8r7/+mq5du9K0aVMKCwspLCwEoFevXiWmdwDceuutpc4/evRoPvjgg+LnrVq1ioyMDO68887ifXbt2sXw4cOJiIjAw8MDu93O7t272bNnT4Vf78aNGxk+fHiJEf+hQ4fi6enJunXrSuw7YMCA4t/tdjstW7YkKSkJgNDQUBo1asTEiROJi4vTJctFRETczeLFJWYzLI66li73v8GubqOov2P1FR9WRbssAQGVu98VCAsLw9vbm0OHDl10n0OHDtGgQYPi++Hh4aX2CQ8PJzk5GYD777+fF198kaVLlxITE0NERATPPfdcceE+efIkGzZswG63l7i9++67HD58uMRxIyIiSp1rzJgxnDx5km+++QaAuLg4unXrxjXXXANARkYGAwYM4PDhw7zyyiusXbuWTZs20bFjR3Jzcyv4DkFycnKpHB4eHtStW5fU1NQS2+vUqVPivpeXV/E5bTYbX375JZGRkdx///1ERkZy880388MPP1Q4k4iIiNRA5w2ePtGmJ8/85s9g2HjivadIWPX6FR9WRbssY8eC3X7pfex2uPvuKovg6elJt27d+PTTT0t9wRAgPT2d+Ph4evbsWbytrJHYlJQUoqKigKJCOWPGDHbt2kViYiKPPvooL774IvPmzQOKRnajo6PZtGlTqdvy5ctLHLesS3s3a9aM6Oho4uLiyM7O5uOPP2b06NHFjyckJJCUlMTixYv57W9/S48ePYiOjiYtLe2K3qOoqKhSr9nhcHDq1ClCQ0MrdKzWrVvzwQcfcObMGb7++mtyc3O59dZby3zvRUREpJY5O3g6OmYkcbc/js/R3Xy9cAaTEn+6qsOqaJflkUfKV7RnzKjSGNOmTWPPnj3Mnz+/1GN//vOfSU9P56GHHiretnXrVhITE4vvf/fdd6SkpBR/4e98jRo14sknn6RFixbs3LkTgL59+/Lrr79yzTXXEB0dXeLWvn37cmUeM2YMy5cvZ/ny5eTk5DBq1Kjix3JycgDw9v7fCjnr16/n4MGDJY5x/mjzpcTExLB8+fISU2A++ugjCgsL6dGjR7nyXshut9OnTx8efvhhkpOTOXPmzBUdR0RERGqQsWO5+4bhfB97H2E74tkc9xwtcjOu+rBadaQszZsXrZN94TraUFSw7faix5s3r9IYw4YNY+LEiUyZMoWdO3cyZMgQCgsLiYuLY8GCBbz00ksl1tAODw9nyJAhzJw5s3jVkS5dujBo0CAAJkyYQGhoKDfeeCPBwcGsXr2avXv3Fl/45p577uHtt98mNjaWRx99lGbNmnHq1Ck2btxIZGQkM8rxF4s777yTxx57jMcee4yePXsWj6YD3HjjjQQEBDBu3Dgef/xxkpKSmDlzZonpL1A0urxy5UpWrFhBw4YNqV+/PvXr1y91rmeffZbOnTszbNgwJk2aRFJSEk888QQDBw6kW7du5X6ft2/fzqOPPsro0aNp1qwZp0+f5uWXX6Zjx44VHhkXERGRmmdivQ6s7X0rIb+sZd2nr+BjVs6/aGtE+2IGD4bt22H8+JJXhhw/vmh7FV+s5pw5c+Ywb948EhISGDp0KKNGjWL//v2sXLmSJ598ssS+3bp1Y/LkyUyfPp0HHniAdu3asWLFihKPr1mzht/97nfccsstLF++nHnz5jFs2DAAfHx8WL16Nf379+f5559nwIABTJs2jb1795Y5Kl6WRo0acdNNN5GcnMyYMWNKPBYREcH777/PsWPHGDp0KK+99hpvv/128dJ/50yePJkBAwZw//33c/311zN37twyz9W2bVtWrVpFSkoKI0aM4Nlnn+WOO+5g2bJl5cp6TmRkJBEREfzpT39i8ODBTJ48mTZt2pS6zL2IiIjUPq/HfcmqnPoYR3by38/fwMfzgmWV7XZMuKLmbZimWRkZq12rVq3M3bt3l/nYrl27aNOmTTUnEleQkZFBYGCg1TFciv48FF24KDY21uoY4mL0uZCy6HPhXtZt+4XfLvgRR046na9tzMfDmhddJ2XRov9dGfLuu/F9882fc0yzfPNoz6MRbRERERFxO6fSMrhn7jpMoFFYIB893L9oWvAbb0BaGjgcRT/feINcyLuSc6hoi4iIiIjbueMPi3AGRRFccJKPnhxa5opqV0tFW0RERETcyiv/WcVBe2PMozuYNWk49QJ9q+Q8WnVERERERNzG/iPHeX1DKo68bG6+8QYGtSu9slllqdYRbcMw3jEMI8UwjJ/P2zbTMIwjhmFsO3u7pToziYiIiIj7+O1floF3AFGBdv49sefln3AVqnvqyAJgUBnbXzVNs9PZ22fVnElERERE3MC8FatJ9m2CkbKbOQ/dhs1WtVW4WqeOmKa5xjCMJtV5ThERERGRzOxcXvrqAA7Txg1dorm+Sd0qP6erfBnyIcMwtp+dWhJidRgRERERqV3Gzfo3zsAIgsnkP5OqdsrIOdV+wZqzI9qfmKbZ7uz9COAkYAL/D4gyTfP+izx3PDAeoF69el2XLl1a5jmCg4NLXW1Q3IPD4cDDw+PyO7qRX3/9lbS0NKtjWCozM5OAgACrY4iL0edCyqLPRe10+MQZnkkowCvtMC+PaEddf68KPb93795bTNOMruh5LV91xDTN4+d+NwxjHvDJJfadC8yFoitDXuzKTbt27dLVAd2UrgxZmo+PD507d7Y6hqV0pTcpiz4XUhZ9LmqnXg/PwfBsSFi9cO64dUC1ndfyqSOGYUSdd3c48PPF9nVHCxYsICYmBn9/f4KCgujVqxcfffRRqf1iY2MZOXLkJY918OBBDMPgk08u+neZK7Jx40ZmzpxZavvMmTMJCwur1HNdTHx8PIZhEBQUhGEYxTdPT2v+LukK74mIiIjAlxu2c9CzIRz7hdfHDa7Wc1f38n7vAQlAK8MwkgzDeAD4i2EYPxmGsR3oDcyozkyubNKkSTz44IPExMSwYsUK4uLiaNKkCUOHDuXll1+u8PGioqJISEigR48elZpz48aNvPDCC6W2P/jgg3zxxReVeq7LmT9/PgkJCcW37777rlrPf44rvSciIiLu7NFFazEL8mjashUxzav+C5Dnq+5VR+4qY/M/qzNDTbFixQrefvtt3nrrLSZOnFi8ffDgwURGRvL000/Tv39/unTpUu5jent7c+ONN1ZF3DI1bNiQhg0bVtv5ANq1a0dMTEy1nrMirHhPRERE3NV/vlhPemATPI/tYPHvH6r281s+dUTK9vrrr9OiRQvGjRtX6rGnn36awMBA3njjjVKPzZ07lyZNmuDr68utt97KkSNHih+72NSR+fPn07ZtW7y9vWncuDF/+ctfSh13zZo19O7dm4CAAIKDg4mNjeWHH35gwYIFTJ06FaB4usa5uW3nT5PIysrC39+fOXPmlDp2dHQ0d999d/H9xMRExowZQ2hoKH5+fgwcOJDdu3eX4127tCZNmvDoo4+W2LZgwQIMwyAzMxP43xSU+Ph4Ro0aRUBAAM2aNSsz99W+J+ccOHCAYcOGERQURGBgILfddhu//vpriX0Mw+D111/n6aefpl69eoSHhzNlyhTy8vKu+n0RERGprf60chuOnAzadehEwxC/aj+/irYLKiwsJCEhgdtuu63MFTSCg4Pp3bs3a9asKbE9ISGBv//977zyyiv885//ZPv27QwbNuyS55o1axaTJk1i2LBhfPLJJ0yaNInnnnuuRImPj4+nb9++2O12Fi5cSFxcHDfffDNHjhzh1ltv5ZFHHik+f0JCQpml1N/fnyFDhhAXF1di+/79+9myZQujR48GIDU1lR49erB7927efvttli5dSlZWFv369SMnJ+ey753D4aCwsLD45nQ6L/ucsowbN46OHTuyfPlyYmNjmTJlChs3bqzU9wQgLy+Pvn37smvXLubNm8eCBQs4cOAAvXr1IjU1tcS+s2fP5ujRoyxevJjHHnuMf/zjH7z++utX9PpERERqu4WfriErqDFeaYf557ibLclg+aoj1WX69Ols27bNknN36tSJ1157rdz7nzx5kry8PBo3bnzRfRo3bsznn39eYltKSgrr168vfl7jxo3p0aMHn3/+OYMGlb4gZ3p6Oi+88ALPPvsszz//PAD9+/cnOzubP/7xj0yaNAkPDw+eeuopOnbsyBdffIFhGAAljtekSROAy05LGTNmDCNHjuTo0aPUr18fgLi4OEJCQhgwoOgbwK+++ipZWVls27aN0NBQALp3706TJk145513mDJlyiXP0b179xL3n3nmGf74xz9e8jllueuuu3j22WeBoi+afvzxx3z44YfccMMNAJX2nrz77rskJiayZ88emjVrBkBMTAzNmjXjH//4B0899VSJYy5YsACAgQMH8t133/Hhhx/y+OOPV/j1iYiI1HYvf/ozDs86dO7UmXqBvpZk0Ih2LdKlS5cS5bx79+6Eh4eXGIk9X0JCAllZWYwaNarEKHCfPn04fvw4SUlJZGVl8f3333PvvfcWF8orNXjwYAICAnj//feLt8XFxTF8+HC8vIrWs/z666/p378/QUFBxXkCAwPp2rUrmzdvvuw53n33XTZt2lR8mzx58hVlPVf8Aex2Oy1btiQpKQmgUt+TjRs30qVLl+KSDUXzuLt37866desumgnguuuuK84kIiIi/7No1TqygxrjnXGEfz5YPRenKYvbjGhXZETZamFhYXh7e3Po0KGL7nPo0CEaNGhQYlt4eHip/cLDw0lOTi7zGCdPngSgbdu2ZT5++PBhPDw8ME2TqKioMvepCB8fH4YOHUpcXBzTpk1j9+7d/Pjjj8yaNatEpg0bNpSaYgLQt2/fy56jTZs2REdXeD35UurUqVPivpeXF7m5uQCcPn260t6T5ORkIiIiSm2PiIgo9d//UplERETkf/76yY847WG069CZ0ICKXZymMrlN0a5JPD096datG59++il//etfsdlK/sNDeno68fHxDB8+vMT2lJSUUsdKSUm5aCE8NzXjk08+KbPstWrVCpvNhs1mu2hZr6jRo0dz2223kZiYSFxcHPXq1aNPnz4lMt1+++0899xzpZ57tRei8fHxIT8/v8S2C+dBl0dISEilvSdRUVHs2LGj1Pbjx48X//cRERGR8vsi4UfSzq408vYfbrc0i6aOuKhp06axZ88e5s+fX+qxP//5z6Snp/PQQyWXqdm6dSuJiYnF97/77jtSUlKK5xVfqFu3bvj6+nL06FGio6NL3QIDA/H39ycmJoZ//etfmKZZ5nHOTfsoz+jqgAEDCAkJYenSpcTFxTFy5MgSX/js27cvO3bsoG3btqXytGrV6rLHv5SGDRuya9euEtu++uqrCh+nMt+TmJgYtmzZwoEDB4q3HTlyhPXr11f6euciIiLu4Pkl63AW5NGkeWsig6yZm32ORrRd1LBhw5g4cSJTpkxh586dDBkyhMLCQuLi4liwYAEvvfRSqTW0w8PDGTJkCDNnziQ3N5cnnniCLl26lPlFSCiaijBz5kymTZvGoUOH6NmzJ06nkz179rB69WqWL18OFBX7fv36MXjwYMaPH4+/vz8JCQlER0czZMgQWrduDRQtSdinTx+CgoIuWortdjvDhw/nlVdeITk5udRqHA8//DCLFy+mT58+TJ06lQYNGnD8+HG+/fZbevTowV13lbUUe/kMHz6cqVOn8uKLL3L99dfz4YcfljmaXB6V9Z7cd999vPzyywwePJg//OEPeHh4FC8BOGHChCt+rSIiIu5oy679JHs1xJaym7cenXj5J1QxjWi7sDlz5jBv3jwSEhIYOnQoo0aNYv/+/axcuZInn3yy1P7dunVj8uTJTJ8+nQceeIB27dqxYsWKUvud/wW+xx9/nLlz57Jq1SqGDh3KXXfdxb///W9uvvl/y+D07NmTr776iuzsbMaOHcvo0aP59ttviy+8cvPNN/PYY4/x+uuvExMTc9mCOGbMGJKTk6lfv36J80DR/PQNGzbQunVrZsyYwYABA3j88cdJS0ujQ4cOFXr/LjR+/HimT5/O3/72N+688068vLyKVxapqMp6T7y9vfn6669p3bo1DzzwAPfeey+NGzcmPj5eU0dEREQq6JkFX4Jh0OCaJrSKCrI6DsbF/unb1bVq1cq82EVMdu3aRZs2bao5kev76aef6NChA+vXr6dbt25Wx6kSGRkZVz2Xu7bRn4eidc/PXTRI5Bx9LqQs+lzUXCdOpxP9h89xnk5i0VNjiW1VepGIK2UYxhbTNCu82oJGtN3EDz/8wGuvvYafn5/bly4RERGpBfbtg8mTISgIbDaeHTAWw9uf5p6OSi3ZV0NztN3EAw88wOnTp5k3b16pZeJEREREapRVq2DkSCgogIICCjH4stMteCTv5Yslv4c72sHgwVanVNF2F1u3brU6goiIiMjV27evqGRnZxdv+lvTzph1GzHsk9l45+cWPb59OzRvbmFQTR0RERERkZpk9uyikezzvNtlCGbmaWb+srZoQ0EBvPqqBeFKUtEWERERkZpj8eISRfv7oHqkN4+m/fYvCHQUFm0sKIBFiywK+D8q2iIiIiJSc2Rmlrj7/zoOBNPk+W1fXHI/K6hoi4iIiEjNERBQ/GumzZOfOgwkaN9mrs84cdH9rKKiLSIiIiI1x9ixYLcD8NK1N2IEhHD3tlUl97Hb4e67LQhXkoq2iIiIiNQcjzxSXLQ/7DgYzhxj+oELVlez22HGDAvClaSi7cJmzpyJYRi0bNmyzMdbtGiBYRjMnDnzqs8VFhZW4ePMnDmTsLCwqz63iIiISLk1bw7LlpFQrxE5TTrSdftXeJnOosfsdvDzg2XLLF/aD1S0XZ6Pjw8HDhxg8+bNJbZv2rSJQ4cO4ePjY1EyEREREYsMHszLdz+CaTqZtnc92GxFV4gcP75o/WwXuFgN6II1Ls/f358uXbqwZMkSoqOji7cvWbKEPn36sGXLFgvTiYiIiFS/wkIH2/Lq4Dh9gPxvN8J1kVZHKpNGtGuAMWPGsHTpUkzTBMA0TZYuXcqYMWNK7bt06VLat2+Pt7c3jRo14plnnqGwsLDEPmvWrKFjx474+PjQtWtX1q9fX+Z5V65cSXR0ND4+PkRGRvL4449TcMEC8SIiIiLVbf5H8RAQRqCnk34uWrJBRbtGGDFiBMePH2fdunUArF27lhMnTjB8+PAS+3355ZeMHj2aLl26sHLlSqZOncpf//pXHnrooeJ9jh49yuDBgwkNDWXZsmVMmDCB3/72t2SfdxlTKCrsI0aM4IYbbuCjjz7i+eefZ+7cuTz11FNV/4JFRERELuHdb3/BmZdN95joy+9sIbeZOvLCxzvYeTTdknNfVz+I529re8XPr1OnDoMGDWLJkiXcfPPNLFmyhEGDBlGnTp0S+/3+978nNjaWhQsXAjBo0CAAnnrqKZ599lkaNmzIa6+9ho+PD59++il+fn5A0fSUsWPHFh/HNE0ee+wx7rnnHubMmVO83dvbmylTpvDUU09Rt27dK349IiIiIlfq+KkzJHtEYpzaz0t3DrE6ziVpRLuGGDNmDMuWLSMvL49ly5aVmjbicDjYunUro0aNKrF99OjROJ1OEhISANi4cSP9+/cvLtlQNGJ+vj179pCYmMidd95JYWFh8a1Pnz7k5uby888/V9GrFBEREbm0Py1ahc3Lh7DQUOoF+lod55LcZkT7akaUXcHtt9/Ogw8+yDPPPENWVha33XZbicdPnjxJQUEBERERJbafu5+amgrAsWPH6NChQ4l9fH19CTjv6kknT54E4JZbbikzy+HDh6/uxYiIiIhcoS92n6GQHB68s6fVUS7LbYp2Tefv78+QIUN49dVXGTVqFP7+/iUeDwsLw263k5KSUmL78ePHAQgNDQUgMjKy1D45OTlkZmYW3z+379y5c+ncuXOpLE2bNr36FyQiIiJSQWu27iQv+Bq8j+9kQi/r18m+HBXtGmTSpEnk5eUxceLEUo95eHjQtWtX3n//fSZNmlS8fenSpdhsNrp16wbA9ddfzzvvvEN2dnbx9JEPP/ywxLFatWpFgwYNOHjwIOPGjavCVyQiIiJSfrOWrcV0RtGocXNsNtefAa2iXYPExsYSGxt70cdfeOEFBg4cyO9+9zvGjBnDTz/9xHPPPce4ceNo2LAhANOnT+fNN99kyJAhPPzwwxw9epSXXnoJX9//zXGy2WzMnj2bu+++m/T0dAYPHoyXlxf79+9nxYoVLFu2rMQcbxEREZGqVljoYHuGL47MAzz/xF1WxykX1/+rgJTbgAEDWLJkCZs3b+a2227jtdde45FHHuGNN94o3qdBgwZ89tlnnDx5kjvuuIM5c+awePHiUsV59OjRrFy5km3btjFq1ChGjBjBnDlz6NKlC15eXtX90kRERMTNzV2xGsO/LkFeBr1bh1sdp1yMcxdBqWlatWpl7t69u8zHdu3aRZs2bao5kbiCjIwMAgMDrY7hUvTnAeLj4y/5r0HinvS5kLLoc+G6esx4k0QjkptbhvHvSb2q9dyGYWwxTbPCi3ZrRFtEREREXFp2bh6JZhicOsjMEV2sjlNumqMtIiIiIi7tzWX/xeYTQGCALy0jas6/XGtEW0RERERc2rKNB3DmZtKrm2tfcv1CKtoiIiLV2fazAAAgAElEQVQi4rLSMrJI9gyH04f5/e3trY5TIbW2aNfUL3mKVCb9ORARkZrutaVfYfPyIzQogPAg177k+oVqZdG22+3k5ORYHUPEcjk5OdjtdqtjiIiIXLGVPxzBkZ3OkD4xVkepsFpZtMPDwzly5AjZ2dka0RO3ZJom2dnZHDlyhPDwmrHWqIiIyIVSUtM45R2FLS2JJwa1tTpOhdXKVUeCgoIAOHr0KAUFBRankeqUm5uLj4+P1TFcgt1uJyIiovjPg4iISE0ze8mXGHY/QkPrEOhb8y6YVyuLNhSVbRUM9xMfH0/nzp2tjiEiIiKVYNWOFBxGEHcM6mZ1lCtSK6eOiIiIiEjNdij5BGl+DfDISGZ6v1ZWx7kiKtoiIiIi4nJmx32N4WEnLCwMf5+a+cX+Wjt1RERERERqrv/uOY2DPEYOudHqKFdMI9oiIiIi4lISj50k078BHlkpTO93rdVxrpiKtoiIiIi4lL8t+wbDw5OwumH4eNXcCRg1N7mIiIiI1Epf/3ICh5HP7f2jrY5yVTSiLSIiIiIu41RaBqe9o7ClJzO9f2ur41wVjWiLiIiIiMt4Y9l/MezehAQHEVQDL1JzPhVtEREREXEZn/6YhNMIY1DP662OctU0dUREREREXEJmdi7HPMLhTBKPDWpndZyrphFtEREREXEJ81bGY/P2J9Dfh9CAmj1tBDSiLSIiIiIu4sON+3Dm59D9hq5WR6kUKtoiIiIiYrn8gkISHSGYqYk8dVt7q+NUChVtEREREbHc4lXrMPyCCfSy0bhugNVxKoWKtoiIiIhY7r21uzALC2jbrnaMZoOKtoiIiIhYzOl0sjfHD+epgzw5tLPVcSqNiraIiIiIWGrlt1sgIAw/DyddG4daHafSqGiLiIiIiKUWfbMN03TSqGkLq6NUKhVtEREREbHU9lMmjlOHmXpL7VjW7xwVbRERERGxzE+/JlIY1ADvwixu71Tf6jiVSkVbRERERCzz1sq1ANSNiMAwDIvTVC5dgl1ERERELLNu/xkcOLhr6PVWR6l0GtEWEREREUucTs8kzScKW+ZxJvRqaXWcSqcRbRERERGxxD9WxGPYvQkODMDPu/bVUo1oi4iIiIglPvnhEM78HHre2MXqKFVCRVtEREREqp3T6eSwIxgzNZFHB7e1Ok6VUNEWERERkWq37JuNGH4h+NttNK4bYHWcKqGiLSIiIiLV7t+rt2OaTpq1qH1fgjxHRVtEREREqt3Ppw0cpw4z7dbaOT8bVLRFREREpJpt230AR1B9vB1ZDGwXZXWcKqOiLSIiIiLV6u2PvgMgLKL2lmzQOtoiIiIiUs2+O5CGwyhk5G03WB2lSmlEW0RERESqTVpGFum+kdgyTzCpFl4N8nwa0RYRERGRavPup2sx7D4E+vsR4Gu3Ok6V0oi2iIiIiFSbjzcfwCzMp2vH9lZHqXIq2iIiIiJSbfbleOM4lcj/DWpndZQqp6ItIiIiItVi7Q+7IDACX6OALo1DrY5T5VS0RURERKRaLPhiIwD1ohpZnKR66MuQIiIiIlItvk/MotB08Lu7Yq2OUi00oi0iIiIiVe50eiYZvpF4Zp/i3m6NrY5TLVS0RURERKTKvfPxWgy7N8GB/njZPayOUy2qtWgbhvGOYRgphmH8fN62UMMwvjIMY+/ZnyHVmUlEREREqt4nWw/gLMjjhs4drI5Sbap7RHsBMOiCbU8C/zVNsyXw37P3RURERKQWOZDrh5mayDQ3WNbvnGot2qZprgFSL9g8FFh49veFwLDqzCQiIiIiVWv15h0QWA8fWyHtGtSxOk61MUzTrN4TGkYT4BPTNNudvX/GNM065z1+2jTNMqePGIYxHhgPUK9eva5Lly6t+sBSo2RmZhIQEGB1DHEx+lxIWfS5kLLoc1E1Zq3czA7vNtwVkcLAzk2tjlNhvXv33mKaZnRFn1ejlvczTXMuMBegVatWZmxsrLWBxOXEx8ejz4VcSJ8LKYs+F1IWfS6qxpSlOynMOUaTwbHE9mpudZxq4wqrjhw3DCMK4OzPFIvziIiIiEglOZWWQaZfFJ45qdznJsv6neMKRfsj4N6zv98LrLQwi4iIiIhUogWfrMPw9CIo0B9vrxo1meKqVffyfu8BCUArwzCSDMN4APgz0N8wjL1A/7P3RURERKQWWLXtIM7CPLp2dJ/VRs6p1r9WmKZ510Ue6ludOURERESkeuzL8sKZc5jJ/XtZHaXaucLUERERERGphbb+sh8zKBIf8rm+SV2r41Q7FW0RERERqRLvrtoAQN2ISIuTWMO9ZqSLiIiISLVZv/80DpzccUtXq6NYQiPaIiIiIlLp8gsKOeFRFyP9GON7tbA6jiU0oi0iIiIile6DbzZi8wnEz8dOHT8vq+NYQiPaIiIiIlLpln23A9N00qJlS6ujWEZFW0REREQq3c8nHDhSjzB5UCero1hGRVtEREREKtXRE6nkBkRhz09nYNsoq+NYRkVbRERERCrVO5+sw/DwpE6dOhiGYXUcy6hoi4iIiEil+vKnwzjzc+kT08XqKJZS0RYRERGRSpWY7495+jBTB7S2OoqlVLRFREREpNKs/WEXBNTD1+agSViA1XEspaItIiIiIpVm0VebAQiLqG9xEuvpgjUiIiIiUmm+P5SOAwf3jOxudRTLaURbRERERCpFdm4ep73DsWWe4L7uTa2OYzmNaIuIiIhIpfjPF+uxefkR4OeDj5dqpka0RURERKRSrPx+D6bTQZs27r3ayDkq2iIiIiJSKXadMXCkJjGpf3uro7gEFW0RERERuWr7ko5REBiFV2EWfdpEWh3HJahoi4iIiMhVe+fT7zAMGyEhIVZHcRkq2iIiIiJy1b7ZeQxnbia9b+xsdRSXoaItIiIiIlfF6XRy1BmEeeYIU/q0sjqOy1DRFhEREZGr8u2WnRj+ofh5mDSt596XXT+firaIiIiIXJX3Vv8AQN3IBhYncS1aSVxERERErsrGxHQcpsmdw26wOopL0Yi2iIiIiFyx/IJCUj3DMDJTeKBHM6vjuBSNaIuIiIjIFftw9SZsPgH4+dgJ9PWyOo5L0Yi2iIiIiFyx5et3AtC0WQuLk7geFW0RERERuWLbU/IpPH2EB/t3tDqKy1HRFhEREZErcjo9k2y/SDxzzzC0U32r47gcFW0RERERuSKLP1+P4elFUEAANptq5YX0joiIiIjIFfls635MRyHRndpZHcUlqWiLiIiIyBXZm2bDkXqYyf3bWh3FJaloi4iIiEiFHTyaQkFQFF6OHKKb1LU6jktS0RYRERGRClvw2XoMw0ZISKjVUVyWiraIiIiIVNg3O4/izM9hUPfOVkdxWSraIiIiIlJhiXm+mKeTmNS3tdVRXJaKtoiIiIhUyKYdv0JgOD5GIQ1D/KyO47JUtEVERESkQhZ9tQmA0PAIi5O4Nk+rA4iIiIhIzbJ+XyoOw2Ts0BusjuLSNKItIiIiIuXmdDpJMUIgLZnf3dTM6jguTUVbRERERMrts/XbsPkF4+9lI8DXbnUcl6aiLSIiIiLltvTb7QBc07iJtUFqAM3RFhEREZFy++FIFoWmk/Ej+1sdxeVpRFtEREREyiU7N480nwg8sk8xoksDq+O4PI1oi4iIiEi5LPlqAzYvXwL8fLDZNF57OXqHRERERKRcPvp+N6bppP11uhpkeahoi4iIiEi57DzlxJGaxJTBnayOUiOoaIuIiIjIZaWkppEXEIU9P5MeLepZHadGUNEWERERkcta8Nk6DA9PgoODrI5SY6hoi4iIiMhlffljImZhPj2v72h1lBpDRVtERERELmt/lh1H6mGm9LvO6ig1hoq2iIiIiFzSzv1JOIOi8DbzaBWlqSPlpaItIiIiIpe08PMEAELrhlmcpGZR0RYRERGRS1qzOwVnbiZDe0VbHaVGUdEWERERkYtyOp0cdQZinjnC+F4trI5To6hoi4iIiMhFrf3hFwz/uvh6mIQH+Vodp0ZR0RYRERGRi/rPf7cAEB7VwOIkNY+n1QFERERExHVtTEzHYZqMHdnN6ig1jka0RURERKRM+QWFnPKsi5GZwj03NbU6To2jEW0RERERKdOKbzdj8wnEz8cTP2/VxorSiLaIiIiIlOnD73YA0LSpVhu5EiraIiIiIlKmH4/nUXj6KA8O6GR1lBpJRVtERERESknLyCLbLxLP3DMM7VTf6jg1koq2iIiIiJSy+PP1GJ7eBAX4Y7OpMl4JvWsiIiIiUsqnW/ZhOgrp2K6N1VFqLBVtERERESllT5oNR2oSE/q3szpKjaWiLSIiIiJF9u2DyZM5FBZJQWAknfZuoMcrzxdtlwpT0RYRERERWLUKOnSA+fNZENoMw+bB8P1bYf78ou2rVlmdsMZR0RYRERFxd/v2wciRkJ0NBQV806QjZn4Oo5P3QEFB0faRIzWyXUEq2iIiIiLubvbsokJ9VmLjTgQe/pkAZ+H/9ikogFdftSBczaWiLSIiIuLuFi8uLtqbA8Mw6zak88FtJfcpKIBFiywIV3OpaIuIiIi4u8zM4l8XNe4IwKhDP15yP7k8FW0RERERdxcQUPzr+iadMLNOc+uJQ5fcTy5PRVtERETE3Y0dC3Y7TiClcUfqHfoRD8yS+9jtcPfdlsSrqVS0RURERNzdI4+A3c7nYddgBITS7WAZ00bsdpgxo/qz1WAq2iIiIiLurnlzWLaMuGZdARh76LwvQtrt4OcHy5YV7SflpqItIiIiIjB4MFs7xWKeSaazIwdsNggKgvHjYft2GDzY6oQ1jqfVAURERETEetm5eaT5R2GcOkjByVS8fOxWR6rxKjyibRiGv2EYHlURRkRERESssfTr77F5+RHo54O/SnaluGzRNgzDZhjGbwzD+NQwjBTgFyDZMIwdhmHMMgyjZdXHFBEREZGqtPL73Zimk6bNWlgdpdYoz4j2aqA58BQQaZpmI9M0w4GbgQ3Anw3DGHu1QQzDOGgYxk+GYWwzDGPz1R5PRERERMpv50kHjtQkfte3ndVRao3yzNHuZ5pmwYUbTdNMBT4APjAMo7L+faG3aZonK+lYIiIiIlIOx06eJjcgCnvKHoZ1amB1nFrjsiPa50q2YRivGYZhXGofEREREal5Fq5aj+HhSXBwEDabFqWrLBV5JzOBjwzD8AcwDGOAYRjfVWIWE/jSMIwthmGMr8TjioiIiMglfPljIs7CPDq1v87qKLWKYZrm5fc6t7Nh/AaYAeQBWcAfTdNcWylBDKO+aZpHDcMIB74CppqmueaCfcYD4wHq1avXdenSpZVxaqlFMjMzCQgIsDqGuBh9LqQs+lxIWdz1c3Hfkr3YCrP5+6i2+Htr9ecL9e7de4tpmtEVfV6530nDMPoC4ygq2FHAA6Zp7q7oCS/GNM2jZ3+mGIaxHLgBWHPBPnOBuQCtWrUyY2NjK+v0UkvEx8ejz4VcSJ8LKYs+F1IWd/xc/PRrItTJwnZ8F7cO7Gd1nFqlIlNHngGeM00zFhgJxBmG0acyQpxdmzvw3O/AAODnyji2iIiIiFzcws83ABBSN8ziJLVPuUe0TdPsc97vPxmGMZiiVUduqoQcEcDys9+19AT+Y5rm55VwXBERERG5hLV7T+DASWz3DlZHqXUuW7QNwzDMMiZym6aZfHY6yUX3KS/TNPcDHa/0+SIiIiJScU6nk2POYEg/yrhet1odp9Ypz9SRbwzDmGoYxjXnbzQMwwvoZhjGQuDeKkknIiIiIlXmq+9/wvAPwc8O10YEWh2n1inP1JG9gIOiqR1RwBnAB/AAvgReNU1zW9VFFBEREZGqsCR+GxBGWFRDq6PUSuUp2jeZpjneMIwHgWuAekCOaZpnqjaaiIiIiFSlLUmZOEwnw4Z2szpKrVSeqSNfGIaRQNEXFu8B6gO5VZpKRERERKpUbl4+Z7zDsWWd5IHuzayOUytddkTbNM1HDMNoBsQDTYHbgbaGYeQDP5umObpqI4qIiIhIZVvy1QZsXn74+3oTGuBldZxaqVzL+5mmud8wjH6mae45t80wjACgXZUlExEREZEqs/L73ZhmJA0bN7c6Sq1V7gvWnF+yz97PNE1zQ+VHEhEREZGqtvOkA0dqEr/p1dbqKLVWRa4MKSIiIiK1QEpqGrkBUdjzM7nr+kZWx6m1VLRFRERE3My7n67D8PAkODgQL7uH1XFqLRVtERERETfz5Y+JOAvzaHtdG6uj1Goq2iIiIiJu5kC2F87UJB7o1crqKLWairaIiIiIG9mx7zDOoEh8zDz6tIm0Ok6tpqItIiIi4kbeXZUAQEjdehYnqf3KtY62iIiIiNQOa/eewIGTnjd1sDpKracRbRERERE34XQ6OeYMhjNHmdCrpdVxaj0VbRERERE38fXGnzH8Q/Czw7WRgVbHqfVUtEVERETcxHurfwAgLKqhxUncg+Zoi4iIiLiJLUmZOEwnI4Z1szqKW9CItoiIiIgbyM3L54x3OLask9zfvZnVcdyCRrRFRERE3EDc1xuwefnh7+tDiL+X1XHcgka0RURERNzAig27MU0nTZq3sDqK21DRFhEREXEDO086cKQe4b7eba2O4jZUtEVERERquZTUNHIDorDnZ3BHF604Ul1UtEVERERquXc/XYfh4UlwcBA2m+pfddE7LSIiIlLLffHjIZwFeXTtoGkj1anGFu3APXsgKAgmT4Z9+6yOIyIiIuKyDuT4YqYmMqlfG6ujuJUaW7QByMiA+fOhQwdYtcrqNCIiIiIu5/uf92IGhuNjFBLdpK7VcdxKzS7aAAUFkJ0NI0dqZFtERETkAgu+2AhAWHiUxUncT80v2ucUFMCrr1qdQkRERMSlbDhwBkfGKW7p3tHqKG6nxhbtFC/fkhsKCmDRImvCiIiIiLig3Lx8TtnrYWSmMDG2udVx3E6NLdrH60SyLeCCeUaZmdaEEREREXFBS77agM3bn0BfL+oF+l7+CVKpamzRBoPRtz9GrnHeSwgIsC6OiIiIiItZnvALptNBo6a67LoVamzRDklPIa9RO0bcPLZog90Od99tbSgRERERF7LztIkjNUmXXbdIjS3aDXMzabDtc3Z2u5NZzboWFe0ZM6yOJSIiIuISDiWfID8gCq/CLEbqsuuW8LQ6wNX45L9z6Vq/FX+/9WFubJPHzc01yV9EREQEYP7HazFs3oSEhOLp6WF1HLdUY0e0AUL8fJjn+Bk8vbhrSzbZuXlWRxIRERFxCd/sTMaZl8X1nTVtxCo1tmhnXHstpKXRd+HbDGlYgGdYE6KnvmF1LBERERHLOZ1OkhxBmKeTmNSnldVx3FaNLdrnm/PwXQSe2Ut23daMn73E6jgiIiIilvrq+58w/EPx8zTp2DDE6jhuq1YUbYB1s8bhSE3i88MG/9200+o4IiIiIpb5z+ofAAiLamRxEvdWa4p2cKA/iyb0AMPGvf+IJzM71+pIIiIiIpbYkpRNYdpxRtzcweoobq3WFG2A2K5tGdbExDOsMdH/96bVcURERESqXVpGFhm+kXhmn+SBHs2sjuPWalXRBvjbtDsJTttLblhr7v/Lv62OIyIiIlKtFn72HYbdm6AAf+r4eVkdx63VuqINsO6vE3CkHubro56s2vCT1XFEREREqs2nW/djOgpoeW1rq6O4vVpZtAP9fXlvciwYBuP+uY6MrByrI4mIiIhUi70ZnjhOHWZCf62fbbVaWbQBenRqzZ0tbXjWvYYuD2l9bREREan9fvo1EWdQFN5mLgOui7Q6jturtUUb4K+TRxKWsY+CiOsYOfNdq+OIiIiIVKl3PksAIDSsnsVJBGp50QZYM3sCzpMH2ZgRxLuffWd1HBEREZEqs3bvSRzZaQzs1snqKIIbFG0/H28+e+p2zPxcnvt4N4eSU6yOJCIiIlLpCgsdpNhCMdKSmdLnWqvjCG5QtAHaNW/E470i8QioS4+n/k1hocPqSCIiIiKV6v3/fo/NNwh/bw+i6vhZHUdwk6INMHVkXzp4Hccj8lpumq4vR4qIiEjtsnTdDkzTSZNmLayOIme5TdEGWPn/HsR+ci/H/ZryyJsfWh1HREREpNL8fMqJ41QS4wZ0tDqKnOVWRdtms7F+1v040o6zdE8+X23cYXUkERERkav2a2Iy+YH18SrMZHjnhlbHkbPcqmgD1AsJYuEDN2LYPPjdvLWcyci0OpKIiIjIVfnHR2sxDBuhdetiGIbVceQstyvaAH1vaM9vWnngWbcRnae+jdPptDqSiIiIyBWL330CR3YafWM6Wx1FzuOWRRvgzxNH0CjvAGZkG3o9PMfqOCIiIiJXJL+gkOMedYuW9eurZf1cidsWbYDVsybhcXIviV7XMO3vy6yOIyIiIlJhS7/egM0nkAAfT66p6291HDmPWxdtT08PNsy6H8eZYyzfb7Lsm81WRxIRERGpkPfX7cR0OmjUVMv6uRq3LtpQ9OXID6bGYjoKmP7+dvYnHbc6koiIiEi57TgNjtQkxvfrYHUUuYDbF22AmPbX8ljPcDwCQun1+zhyd/0CkydDUBDYbEU/J0+GffusjioiIiJS7JeDRygMaoB3YRYjumpZP1ejon3W/43sx01BZ/AIb86gaa/D/PmQkQGmWfRz/nzo0AFWrbI6qoiIiAgA8z5eB0BoWD0t6+eCVLTP895vbqb55pUc7DKESdf1KflgQQFkZ8PIkRrZFhEREZfw7Z6TOLLPMKBbJ6ujSBlUtM83ezafrVmI//7NfNZ/Em9eU8Zcp4ICePXV6s8mIiIicp78gkJSPMIw0pJ5SMv6uSQV7fMtXox3QT6rPpqFR+oR/jL8aT4Lu6bkPgUFsGiRNflEREREznrvy/XYfAII9PUiqo6f1XGkDCra58ssuhz7NXlZxL0/EwrymDRqJj8GhJa5n4hIjbVvn770LVLDvb9uF6bTQfOWGs12VSra5wsIKP71+owTvLLsBfAJZMQdv+eYl2+Z+4mI1DirVhV9uVtf+hap0XameeA4lciUgR2tjiIXoaJ9vrFjwW4vvntHyn4eWvlnCsOb0nfoE+QatqLH777bwpAiIldh376iL3VnZxdNhTufvvQtUmNs2vErzqAofJy5DGwXZXUcuQhPqwO4lEcegYULS/zP57H9WzjwxZt8Nvj/6DNwCuu+nY9txgwLQ4qIXIXZs0sXbKAQg/2+gewMqEuyfxCpz7xCaveenM7KJSffgWmamCY4z/708/YkyNeLYH9v6vj70iAsmPYtGtGmSQM8PT0seGEi7mXepwlAKPUiVbJdmYr2+Zo3h2XLikZzCgqK/2c0Z/uX3BZUj5+638WNdcPY2Ly5xUFFRCruwJHjrPliPduv7cHekPocDYkiLTiS/IBQCAjB8LCXfMIRgItMlcsHMs7dMYEzEH8G07EVMzsNb0c2Ub5O2kQFcVPbxgyMaU9kWEhVvTQRt7P+YAaFZgEjht5odRS5BBXtCw0eDNu3Fy3ht2hR0RcfAwJY2SGYjsd/JqVhV3o+/CZrXplidVIRkTLl5uXz7dZdxG/by7ZDJzmc7iTDIwjDPwRG/QkA0+nASD+B75njhCb+RGhmKpGZp2iYdZrInAzq5mWx+P/+Qt06QdQNCsDXyxMfb088bAYOB6RlZnDqTCap6RmkpmdzOj2DvNw8ChwOnNjI8fTloG89ElP9+WJtBs+vXY+ZdoxG3rnEXhfF2AExtG7SwOJ3SqRmOnE6nQy/KDxP/MqkXi2tjiOXoKJdlubN4Y03im5n2YCtBYW0nvB3EsOvZfjv57P8Dw9al1FEBHA6nWzauY8Va3/k+30pHM72IN+vHoanN+CL6YjC4TiOkXUMr8xk7l2/gptOHiIm7TiBjsKLHzgoiDFPj7jiXKZpsj3pNAu+3MraH/eSmp5JvuFFom8DFu/3ZvHb2zDTVtEuuJBxg7pye8+u2Gz62pBIecxdGY/h6UWd4CACfO2Xf4JYRkW7Aux2T358YxLXPTSXrWFNGPfX/zDv0d9YHUtE3Ehmdi7LvtnI51v2sisllzMedTD86gC+OM1InHlH8cz6FR8vO0EhocRGt2VIp270aBlWVGQnH4D5m+BSJbsSvvRtGAYdG4Xy6gP9gH7F239KPMUfFn/F1j2HybP58LOzMdM/T+H/li6kdUAuU4fcwG09u17VuUVqu8+2HcZphHN95/ZWR5HLUNGuoAA/H7a+ch+dH13El84GPPrWh/x10pWP+oiIXMq5Yv3ppj3sOJFPlm8Eht0HiKTQeRxbZjJemccIDqlL75j2jL6hF9FN6l78gGV86bsUux2q6Evf7a+py/tPjym+/69vtvOXuP9yJt/G7oCmTP3sGFMXv8WIdiE8/7vbCA70r5IcIjVVYaGDJGcdzLREpg3ob3UcuQwV7SsQVieIdf/vTrr//gPe3xeB19yVvDh+qNWxRKQWuLBYZ/pGYLP7AFEUOo7gcXIf/n6+NG3ajFG392Fklwb4+1Tgn44v8qVvoKhg2+1Fj1fTl77v6dOBe/p0ACBu7Q6ee3cV2d4hfHg0kGXPfUwz2ylem3ALnVo1rZY8Iq5u2TcbMfzqEJB7gnYN6lgdR/5/e/cdHlWVuHH8e6akJ5QkEHrvRUXEgiiIBbCgiB10baDYFrHrrrr6syMWLKtYQWURFSugoAIq2CjSS+g1IYT0OnN+f0yUIiVAZu4keT/PkyeT5M7kDR4nb+6ce85BqGgfpib1kpnx7/M59ZFPeW9FHbxvfM7D157rdCwRqWT2f8Z6z2LdrnUrrr7sHPp2Sjnyucz7ueibwYMDZ7IdWlnpkh4duKRHB0pLSxn01AR+3LKVNXVa0P/1BSQXfs5LN/Tl+I668Euqtw9mLMT6U2jQrKXTUaQcVLSPQItGKXz3wLn0evQL3lqahPvtL/n3P852OpaIhLHyFuv2rVtx3eBzObN9CsaYig+yj4u+w4XH42H8fYHrX8ZM/pX/fPA96XVbcfE7S4HUXNsAACAASURBVKiV9xUvD+3DSUe1cTiliDMWZRp8RRsYdul5TkeRclDRPkKtGtdn+n396P34V4xZmIR5+0v+pbItImWycvIY/83PTJ2XytKMUvKj6+yzWLdu2YprLjubszvV0+obu7mu73Fc1/c4Jv24iNte+4odyS25bOxSGr/1Df+7/3LqJ9d2OqJIyMxfvgZfQn0ity3hgmMaOh1HykFFuwK0adqQb+7uyxlPTmHMoiSyX/6Yp4fpAkmR6ig9M5v3p85m2h9rWZFpKYxNwXi8WJuCr3Qz7vRUYmOjad68BYMH9mHA0dpJsTzO796R87t3ZNIPi7j19SlsqNeO4x+Zwhn1S3l1xOVEePXrTKq+/37+I1CL5Lr1gvNKl1Q4PTNVkHbNG/HtfWdz2qOfMmFtA3Y8NY437hrkdCwROZDU1MCW5OPG7ZqnPGhQYGWOcs5TTt24lYnf/c53izaQmmMojk3BuD1Yfz18pZvwpK8gLjaGps1acMWAPlzYpSERXhXrw3X+yR05/+SOPPjOFN6Ymcm3O5vS8uY3eXpgJy4540Sn44kE1Q9rsvBRyvlnd3M6ipSTinYFat2kPj//38Ucf8/7TDNNGfCvMXz8iDa1EQlLkyf/feWNnBwYMyaw/N3EiYGLBneTm1/I57Pm8s28lSzanEuaLxbikwGw/hR8RZvw5i0nPj6OFi1accnAsxlwTAMV6yB4+Ko+PDjYzzkPvMlCbwx3fZPO81+8yJePXE2thP1sGy9SiWVk5ZAdVQ/39lXc1EsXQlYWKtoVrEGdRBY+dzVH3fY6c+u2pteIl5j+9I2acykSTlJTAyU7P//vXysr3sUDL2Lmex8zfUs2v6Smsz7PRXFsHYwnAkjCZ92Ql05EXjrxNRI4umM7Lj2xG2e2r4BVQaRcXC4XXz12HcvWbqHPg++xuV47Ot89gQfObMrQC05zOp5IhXrpo28x3khq1qhBfHSE03GknFS0g6BWQhzLXhlGhxtHs6ZuW44e9gK/PD+MqEj9jyEOqYApElXKyJF7rB+9NSKar5KbMrtOM5bWaca2Os0oTmqKmVNCYMfFuviLN+PJX0lMVBS16tanT/ejuLRbU1rVjXfu5xAA2jatx9p37uCWFycyKcfFY3PyePPbF5j+5BDiYqKcjidSIb5csBG/SeKk4452OoocAhXtIImJimTFa7dx9E3Pk127Le1uepXZTwwmJamW09GkujmMKRJVUWmpj3nL1/DTwlTm/76F1T2vJa12I/ITG2Dik/46zhbkEJ22hpYLptA2YwO/nHEpJx3bnvOPOZlT2yTpbHUYe/GWgdyzbQc97n6TbSntaHfbW7w/rCc9jmnndDSRI1JYVMwWkwSZG7mrr1Y2q0zCpmgbY/oAzwNuYIy19gmHIx0xr9fD4tdGcMZdr7CidlOOu/9DJv2zN8e2q4ZnEMUZ5ZgiwcCBgc1LKvmZ7czsXJau2cSy9VtZtj6NNWlZbM4qIrPYkEcUfJFZNu0D6HUdtigPb8ZGUtYuoPGOjRyTvo4z01bTJWc7f1VplwvmT3HqR5LD0KBubVa/fQdX/N9YZhXW5op3F3He9wsYPfzSg99ZJEy99cUsXFFxxMVE0DRJ1yBUJmFRtI0xbuAl4AxgI/CrMeYza+0SZ5NVjG+eupGbX/iQz0pqcf7Ls3ms71YG9+vudCypDvaaIrFPJSWBHQLDYOOS4pJSdubksTMnj8ycPNJ2ZLNlRxZpmblkZOeTkVtIVn4x2YWlZBVZ8vxuikwk/og4XJExuz1SDBCDz5+FLckixreD4rztRHjcxMTFMWbsw3TJ3MJBz03H6RdaZfXe/YP5+pfFXPPaDL7Y1oQZQ5/jp2eHEr9181/TqE7VNCqpJD6cvRw/KbRt38HpKHKIwqJoA92AVdba1QDGmPFAf6BKFG2A0bdexLFf/ci/v1zFA9+m8c38d3j3vqucjiWVmN/vZ2vGTjZsy2BrRhbZeQVk5xWSW1hMTkER+YXF5P26kbyjz6bQE0GRJ4JS48bvcuE3Lnxl7/3GhW+1G/9tL+EHrAW/BVt22/75/cpu2LI3LFjMro/Z9fGft/nzcTBgAo9H2TGB7+3GurzgicC4vbvOOP+NG4gvewO/Pw+/LxeK8zGl+bjsdtwu8Ho8eCMjSUioQZvmjTmqWUu6NKlNycbFnNar566HK1kQmDpzoD9CvN7AluRSaZ3ZrQMrOrek6y2jyUlsS6dbxvDlZ4/TIXs7lJRgoFpOo5LKxe/3k1oUj81Zx+03nuJ0HDlExlp78KOCHcKYgUAfa+11ZR8PBo631t6813FDgCEAycnJx06YMCHkWY/UhrSdPDh1Hf7kliRkLObxAUcRGx3pdKwqIzc3l7hKfBZye1Yea7ZlsiUzl7TsQjLySsgqsuSWuijAS6krAr87ChsRjYmIwbjKv2yctX7w+8DvB1v29udtv6+sIPvL2nXZeyzmz1aN/bMpl31+1212O8YEvhnAHjV8j+PLvuaxPtz48RiL24DXZfG6DB43RLgN0V43cZFeEmIiqBUXRWJCDHVqxBEd6SHC7SLK6ybCc/A503uPi6hNmzjuuutwFxbu9z6+qCh+HTOGwgYNDvr4Ev7e/GgWM7ztoTCHpz9+lIu3pf7tGP03Fwi/3yOzFq3hjY11aJO/iHsHHO90nGqrV69ev1trux7q/cKlaF8EnLVX0e5mrb1lf/dp06aNXb58eagiVqjiklKOvvE58pPa4duxkQk39+TEzm2cjlUlfP/99/Ts2dPpGPuVnZvPrPnL+X3FelZtyWRTZgHbC/zk2EhKIxNwRcb+7T62tBh/QTa2KB98RRh/KS5rcRmLy2XwuN243R7cHg9ut5uY6Ehio6OIj4nivieHkZKbRe3SImL8vv3mKo2L56ffVuFyG7wmUFyNC0zgRPR+dyDb/bNuV+BgtzGBN5cLj9vgdRsiPC4i3G4i3Qav24U3xOtK73Nc7OsiUQicyfZ6dXazqhk2jI8nTWN4/3shpgaXT36ex5fO3PMYrxeGDAmLaVTinHD7PdL//teYX5JC8wTDdw+c63ScassYc1hFO1ymjmwEGu32cUNgs0NZgi7C62HJmDsY9Ng4ZhbV4pI35zOwxQKeveVip6NJBdmwLYOpcxYyd9UmVm7LZkueJZcYbGztsrPQHiAZv78Af2kmFOXizt2B22WI8HqJiIomqXZNmjdMoX2TOrSqm0CrOgk0T4o5tJK69uvAy+IHKNl4vXiuupJT2tQ50h+7cunbN3AR6KhRMHbsrmUPBw+G4cM1X7eqGTeOATk5tH93OOedfx8fnHcXS2o35JMf3981V7+kJDAWVLQljCzMdOErWs/Nl/R3OoochnA5o+0BVgC9gU3Ar8Dl1trF+7tPZT6jvbuPZszltrFz8CQ1ISZzFVMevoLGKUkHv6PsU6jPRPj9fmYvXMn035fxe+o21u4sYaeJw8Tt+m/oLynCn7MdU5SDGx9RERHEJiTQpmlDurVtzHHNEjmmYU1iorwVHzA1FTp33veqI3+KiakSq44cSLidoRIHuFx/TWnKdXk4vc9NbO10Bg3nT2ba168QZf27jvMd4A9TqfLC6fnih/nLGDQ+FW/aUla8MWK/ry5K8FXqM9rW2lJjzM3AVAJXPb15oJJdlVx4ahf6dmtP11tGk1e7Nd0fncydPepy6yVnOh1N9mHV+i18NGMuPy7bxKpMH7mRiWXTPTxYWw+fLw1TsB1v7jZiYmKpW7cup57YmtM69KBb49pERIR4K+4WLQJTIA42RaIKl2wRIPBqRU5O4Ka/lJ++ep5zc3aw+KRL6BZTk+8/f5rapcVaaUbCyn+/mA3UoU79RirZlVRYFG0Aa+1XwFdO53BCTHQUS8bcwQNvfsXbvxbz7LwS3p75PJP+pbPbTsrNL+TTmb8zbd4qFm7OZbuNg7Iz1dafgq90K67cdUR4XcQl1OT4zm05u0sXeretS3Rk2PyvpSkSIhBYwm+3lWZcwJezxnJNXibTTx/CCZc8ytRPH6PZ4CuczSmym182F1FaupGrrjjd6ShymMKoDcij1/TjpnMz6X7nGDLqtKH7Y19zYXMXz956sXajC4GcvALGfzOHyb+vYklGKQUxKWXLzSXhsy7ITSciN434hASOO7o9A48/jtNa1wn5hX2HpUWLwLxTzT2V6mrEiMASfnst6fjm3C/4V14m755zB6dd8hiTLujIUQ5FFNnd8nWbKYyrT0Tacq7p3tTpOHKYVLTDTL3kWqx++04efncqr8/cyKStTfj0hld49eqTOevEvZ7+U1P/2niB6rzxwm7/DoeyAUV2bj7jp81h8u+pLN1eSkFsXYwnEmtT8JVuxp22kpjoSBo0asxFfU/ioq6NqBW7v3WeRSSsHWAa1SOrfyHlk0d5sv89nD1xBR/XrUe3ji0dDCsCL370PcZVg8TkOng8leCEjuxTWFwMeTiqysWQB1JcXMJJw18mzZuCiYgmKW8tY249l2PaNNPSZH86hH+HrJw8xn/zM5PnrmJZho+C2MAZa2v9+DI34ynMIi42ms4d2nJVz46c3q4Obree3KqCcLq4SRyWmvrXNCqbk4OJj/9rGtXIX1N5/ucsbFEe7113Aqd0aet0WnFAuDxfdBj2MtnEcNM5x3FPP+0I6bTDvRhSRbsSmPXHKgY98zHUbY21floUruWN95+geWb6/u9UDVaSONiKGlluL+837cSU/leyrCCCwpjdivWOTXiKs4mLjeHYzu258YyjOKFFYoh/AAmVcPnFKeFlX+Pi5Y+/5YlZ27HFBbx1VVdO76aCU92Ew/PFmk3b6PncHEzachb/dzixwViVSg5JpV51RA6sR+eWrHv3Ll7/6hce+d9MVqe0oddVo+k490sem/sFR+Xu+PudSkoCZ22q8pzckSP3OIud6Yngg/ptmNqoE8sad6KwfptAsfb78JVsxpO+krjYGLp27sCwoRfRrbmKtYjsadiA04iO/JEHv97A1e/O5XWfjz4ndnY6llQzz334LcadQHJyskp2JaeiXYlc368b1/frxqSGbXj4uAtZdMJAzut2ASlLZnLvr5M4P33NroOrwcYLaeMn8EH99kxv1IHljTpRWL8txuPF+n14t6XSZu4X9Fq/kAvT17D1l8XVb0MWETksV5/dnUjvHO7+cg3Xj5vHe5ERmkYiITV9RSY+U0S/M491OoocIRXtSuj8zSs5f9LjzKqZwr+PPY/Vnc/gn516c8+6P+i7aBp3r5hNSnFB4ALJKmTVhi188M0vzFy6mTW5bkquexPjcv9VrNv+/hmnrV/IFRuX0LB4t+kkLhetVbJF5BBcfuYJlPp8PDB1I5e//hOf3RpJl3bNnI4l1cD6rdvJia2PO20lw8/QH3iVnYp2ZVS28UKPnVv5bvprrPvhPe4+ug9zjjqLT86+nY/PKKTuip+4bNVPDC0sIiYq0unEh8zn8zFz7lK+/HkJP6ems7EoCpuQQmBjmBR8xZvo9MvHnLl+IZduWkq94oL9P5g2oBCRw3Bl3+7k5H/Lkz+6Oe/56XxzVx/aNW/odCyp4kb9bxrGHU9SUiI1Y7TSVWWnol0Z7bXxQpOiPMb//BH+nz/i3QZteaNDb9a368HzHU9j1L2fUrNoG71aJzHk3JPp0KKRw+H3bf7ytXz2w3x+XrmVNdl+ciOTynZcjMWPwV+wmciCJSTUqEnn9u24/KQTOPPlJZifFv5tXdw9eL2BFQVERA7DTReeRl7hZEbPc3HGE1/y08MDaFwv2elYUoVNW56BzxRxeq8uTkeRCqBVRyqjg6y2AZAZm8DAy+9nZZELm5CCO7YWAHbnZhpGFtGlSW36Hd+O07t1wusN3d9bqzduY/pvi/l1xSZWbM1ma4GL/IgauKJrBPL5ffh2bsFVmEO010WNxCROObYjg05sxtGNa+35YOX4d6gWq6/IQYXDKgISfg5lXNz32iTeWwm+zE0sGHkliTXigxtOHOPk88XGbRl0f2YWJm0Fv710K0lxUY7kkL/TqiPVyQE2Xvhz/ehaH45netn60eu253DHG1OZu3QNRSaCDVEpbEqL4/PPN+P/aBWe/B3U9pbQsEYErevVpG2jOjRJSaR5gzo0Tkkq11rS1lq278xm1YatrN2ynQ1pO1mzNZP1Gblsyyslu9RNoTcBV0zNsnvUxk80/pJ0XPmb8WRvJr5mLTq2bcXZXY7m3E71Dn6ldTn+HZg4USVbRI7YY0POZ+ez4/nS1Zhj/vkGK14dRlSkXtaXijVqwjSMO47ExESV7CpCRbuy6ts3cKa2bOOFv3aGLNt4Yfdy2SQpng/vHvjXxz+vTmfUJz8xf9kaCopLKHZHss1dg/SS2szf4IINeUAesB7rK8UW5YG/FGN9GOvHWD9g8LvcWJcHXF6MNwLj2XsueC2sPwG/PxNbnIMrfwvunC1Ex8RQM7EO3bu2pFfbk+jZui5REYe5Mcxe/w57b0Chki0iFeXl2y+l/wOvs6BuKzre+CIrxgzH5XI5HUuqkK+XbcdHEWf00mojVYWmjgjWWpZtzWbyvPXMmL+ctVu2U1RURElpCT6fxY8hMEoMGIPFFfiMLfuKtbiMxWUMHo8Hb0QEEZFR1E1OpFPLxnRsWIvjmyXSqk5s0Hda1BQB2ReNC9mXwx0XJ97yAltiW1ArawXzXhle8cHEUU49X2zclkH3p2dh0lcw96V/UjtOr5iEE00dkcNmjKFdvRq0q9eJ2/t1Oujxf/5xZowJdjQRkbDz4/M302Ho82Qmtuasu19l6pM3OB1JqoDnP5yO8cSSWLu2SnYVote85JAZY1SyRaTacrlczBt9E6SvYpmtz9CRHzgdSaqAqUvT8eXuoE+PQz5pKmFMRVtEROQQRUVG8OszV+PP3MzkTV5emTTD6UhSia3fup2s6Aa4c7Zyx1ntnY4jFUhFW0RE5DAk10rgq7v7YYvyeWz6Bn5csMLpSFJJPf3B1xiPl6TkRGrFatpIVaKiLSIicpg6tWzMqAFtMJ5ILnnpO7Zl7HQ6klRC01ZmUZq1jfNP7eZ0FKlgKtoiIiJHYGDv4/lHxwjcNevR9Y63KC4pdTqSVCILVqwjP74hEQUZ3H5mW6fjSAVT0RYRETlC/7m2P10i03DXbc1RNz7vdBypRJ6Z8C3GuKhbryExkVoMrqpR0RYREakAnzxyHTV2rqQgqS3nPTDG6ThSSczeXEJpxgauOEOrjVRFKtoiIiIVZPZzN2K3r2FBYSJPvP+103EkzH376yJKExoQ7cvlhlOaOx1HgkBFW0REpILEREUy/d8X4i/I4qWftvHTolSnI0kYe37ST1jrp17j5ng8wd05WZyhoi0iIlKBWjaux3MD2mEiY7h41BSyc/OdjiRhyO/3s2CnF1/6Wm46W9NGqioVbRERkQp2Ye/juaBxKZ7kphx988tYa52OJOEgNRWGDYOEBCY0aAPxdTh2wwIuqV3idDIJEhVtERGRIHj+tktoWLAaf0o7eo142ek44rTJk6FzZxgzBnJyeL19T2xpCaN++DDw+cmTnU4oQaCiLSIiEiTfjRyGa3sqa9wNuf/1z52OI05JTYWBAyE/H0pKKDYuVrU7hZqpv9K8MDvw+YEDA8dJlaKiLSIiEiRej5uZ/3cF/twM3l2Yw/TfljodSZwwciSU7Joe8mrjTpi42py3dMauY0pKYNQoB8JJMKloi4iIBFHDuom8cdWxGLeXq179npy8AqcjSaiNG7dH0R7b6XRsYS53rPpl1zElJTB2rAPhJJhUtEVERILszBOO4tJWBk9SY46++SWn40io5eb+dXNjRAxprU+iyZIZ1PCV7Pc4qRpUtEVERELgqWEDqZubiq9uO87VzpHVS1zcXzcfbXcKxhvJsIXfHPA4qRpUtEVEREJkxsgbsBlrWVBQi1c/neV0HAmVQYPA6wVgeufTcaWv5eKtq/Y8xuuFwYMdCCfBpKItIiISIlGREXx1z3nY4kIenbKCtZvTnY4koTBiBHi9TE1sSEn9tpy0cNrfC5jXC8OHO5FOgkhFW0REJIQ6tGjEPaem4I5Ppsd9Y/H7/U5HkmBr0QImTuTZo87C+kp5YPF3u77m9UJMDEycGDhOqhQVbRERkRC7aWBvOnu24k5pwwm3jnY6joRAfq/TWNbhNKI2LKSF8YPLBQkJMGQI/PEH9O3rdEQJAhVtERERB3z66HV4M1axLaYp92ozmyrvuf99jYmpQUTtmnhzs8Hng6wsGD1aZ7KrMBVtERERB7hcLmY8Nhh/znbG/ZHNL4u1K2BV9r9f1uPLz6Jb1y5OR5EQUtEWERFxSP3k2oy+pDMmIpoBI7+iuKTU6UgSBCvWbWZnTEPcWRv5v4HHOB1HQkhFW0RExEH9e3ald3IunjrN6XLTC07HkSB4dNzXGLeHlHr1SUmIdjqOhJCKtoiIiMPeuudKYjNXklOrFcNGTXA6jlQgv9/PD5t8lGas5/p+JzkdR0JMRVtERCQM/PD0dfh3buHztX6+/X2Z03Gkgrz1xUz8CSnEUsg1PZo5HUdCTEVbREQkDNRKiOPta0/EuD1c+cp08guLnI4kFeCVbxbjL8qjU+ejMMY4HUdCTEVbREQkTPTu1on+jUvxJDXl2Ju1vnZlt2T1RtKjGuDasY5nLuvmdBxxgIq2iIhIGHnxn5dSI2slBUltueap95yOI0fgwXemYNxe6tVvQNOkOKfjiANUtEVERMLMD88MxZexgWlbvEyevdDpOHIYiktK+WVHBKVpq7n+7BOdjiMOUdEWEREJM/Gx0Yy/qSdYy/Vv/khWTp7TkeQQPfP+ZExsIjUj4eruTZ2OIw5R0RYREQlD3Y9uy6Wt3XgSG3HcP191Oo4covd+Xo8vL5Oux3bRRZDVmIq2iIhImHpq2EASc1ZRnNyWQf/3jtNxpJxmzVtKbnxjvDlbeOpibblenaloi4iIhLFZI2/At30tMzNi+eT7352OI+Xw6PgZYC0NmzanjnaCrNZUtEVERMJYTFQkk0b0wfpKuOWDuWRk5TgdSQ5gZ04uS4tq4k9bxUOXdHc6jjhMRVtERCTMHduuBf/oFIu7ZgrH3/6603HkAP495jNcUfEkJsRwWrsUp+OIw1S0RUREKoFHrjuPlPzVlCa34aKH3nQ6juyDz+fj81UFlO7YxMVn9XA6joQBFW0REZFKYtazN+FLX83PuTX54Js5TseRvTz7wRRsfArx5HNP33ZOx5EwoKItIiJSSUR4PUy5tz+2KJ87P17ClvQdTkeS3bzx03p8uTs4oVs3XC5VLFHRFhERqVQ6tGzMjd0ScccncfI97+D3+52OJMCEaXMoTGhMZN42Rl7a1ek4EiZUtEVERCqZ+wb3pWHhOnzJrTn/X284HUeApz79HX9RPo1bt6d2XITTcSRMqGiLiIhUQjOeHYY/bRULipJ54/NZTsep1n5etJL06Ea4dqzhucEnOR1HwoiKtoiISCXk8biZ/tBF+AuyeWhKKuu2pDsdqdq6/51pYC2Nmragc8OaTseRMKKiLSIiUkm1alyfEafWxxVTk54PvKf52g5Yv3U7K3zJ2LRVPHSpNqiRPaloi4iIVGL/vPh0mvs3Y5Nbcdbdrzodp9q567+f4oqIJqVOMr21QY3sRUVbRESkkpv+9A3YbStYYRrywoffOB2n2sjMzmV2RjSlaancNvBUp+NIGFLRFhERqeRcLhc/PD4Yf24GT8/Yyop1m52OVC0MH/0RJqYGdRKiueL4Jk7HkTCkoi0iIlIFNEpJ4qF+LXFFxXH6fyZSWupzOlKVlpWTx3db3ZSmr+HGAb2djiNhSkVbRESkirj2nB50jtyOK7kFp938LAwbBgkJ4HIF3g8bBqmpTsesEu54+SNMTC2SYr1cf0pzp+NImFLRFhERqUI+feRaojYuYF2Ntrw4eQ7k5IC1gfdjxkDnzjB5stMxK7WcvAK+3mgo3b6Wa/v3dDqOhDEVbRERkSrEtWYNMz9/BlfGRp4553YWxtba9cWSEsjPh4EDdWb7CNz6wgRMbG2Sot3c0ruN03EkjKloi4iIVCUjR1KnIJdXJj0O3mgGnncXhWavX/clJTBqlDP5Krn0zGy+3eKlNG01QzU3Ww5CRVtERKQqGTcOSkrok7GBi6aOpqhxJwb0GLTnMSUlMHasM/kquZuf/xATU4O6NWK4sVcrp+NImFPRFhERqUpyc/+6+cyS72kwfwpLTryYJ5t33e9xUj7rt25n9s44fNtWcselpzsdRyoBFW0REZGqJC5ujw+/mP4a7m2pvHzuHXxXq/5+j5ODGzLqQ0xkDPWSanGZ1s2WclDRFhERqUoGDQKv968Pa5UWM+7j/wO/j2su/BcbI2ICXx882MGQlc+chStY6kvBbl3Oo/84y+k4UkmoaIuIiFQlI0bsUbQBTsxO475Jj+OvWY++595BsTcChg93KGDldMtrX2OxNGnWjDM7pDgdRyoJFW0REZGqpEULmDgRYmL2KNxDNyzijG9fJ6dlN7qff2fgOCmX8V/PJj22Ge70Vbw+9Ayn40gloqItIiJS1fTtC3/8AUOG7LEz5JgTm5KQtpj0Rl25+OG3nU5ZKZSW+vjXJwvw5WfRruNRtK2X4HQkqURUtEVERKqiFi1g9GjIygKfL/B+9Gh+Gn0r/u1rmZOTwLP/m+Z0yrB350sfUlKjEbEF23hvWC+n40glo6ItIiJSjcTFRDHtXxdg87MZ9WMa039d7HSksLVxWwYfr/ZTun0dl57Tm1qxEU5HkkpGRVtERKSaad2kPq9cdhTG5eaqN2azfku605HC0pVP/w+i4qlXM4aH+nd2Oo5UQiraIiIi1dA5PY7hpq4JuOOT6P7AeHLzC52OFFY+mPoTqa6GsHUZT1zbx+k4UkmpaIuIiFRTdw/qS48aWbiTm3P0zS/j9/udjhQW8guLuP/TJfgLsmnbviO922k5Pzk8KtoijCSYcgAADRZJREFUIiLV2LgHrqJ+/mpK67Th+FtfdDpOWLjmyXH4E+qRUJLJR7dqq3U5fCraIiIi1dwPz91E5PYVpMe1pN89/3U6jqN+Wb6B2Tm18W1dwYgrziYu2nvwO4nsh+NF2xjzkDFmkzFmftlbP6cziYiIVCcul4t5o4dB+koW2/pc9fhYpyM5Ir+wiFfm5uEvKaR582Zc06O505GkknO8aJcZZa09uuztK6fDiIiIVDcxUZHMG3Ud/u3r+H5HAvf89xOnI4XcZY+8g63ViISidD65Xef95MiFS9EWERERh9VKiGP2Y5fhy9rK+yssI8d/43SkkHnny5nML0khOm0x9/6jP7XjtGa2HLlwKdo3G2P+MMa8aYyp5XQYERGR6qph3US+ufds/Pk7eX7ODsZ8NsPpSEG3ZtM2/j1lLf7cHVzTvQmDTmjidCSpIoy1NvjfxJhpwL7WxrkfmANsByzwCFDPWnvNfh5nCDAEIDk5+dgJEyYEJ7BUWrm5ucTFxTkdQ8KMxoXsi8bFgS1Zt40nfimAiBiubJzD6ce0cDpSUPj9foZ9sICCms3ol7CZfkc3Jj5e40L21KtXr9+ttV0P9X4hKdrlZYxpCnxhre14sGPbtGljly9fHvRMUrl8//339OzZ0+kYEmY0LmRfNC4ObtbcZVw+Zg4mMpZ7eyRx44BeTkeqcJc+/AZzClLwpi1l4n+uJXPVAo0L+RtjzGEVbcenjhhj6u324QXAIqeyiIiIyC49urRl/NCTsEW5PD5rOy9+OM3pSBXqybFfMju/Dr4tyxhycT+OaqjZq1KxHC/awFPGmIXGmD+AXsBwpwOJiIhIQPejWvPhjT3wF+bw9OydPPXeFKcjVYiv5yzgpbn5+HZs4rhjj+HOPu2djiRVkONF21o72FrbyVrb2Vp7nrV2i9OZREREZJcTOrXks1t74c/P4qV5hdw48gOnIx2RhavWM2TcfKyvhGb1k/jolqo3JUbCg+NFW0RERMJfl3bNmHH/2fgyNzI5PYE+97yK3+93OtYh27gtg/7Pfo0/Io663kI+v/s8jDFOx5IqSkVbREREyqVFoxQWP3c1dutyltGILje9SHFJqdOxyi09M5veD3+ILzaZWsVpfHzfJdSM0XrZEjwq2iIiIlJuNeJjSR1zG9EZy9hZoyVtbniJzek7nI51UGk7sjj5/vcpjKtPTPZa3rrzEhonxjodS6o4FW0RERE5JB6Pm6Wvj6B5yTr8ic04/t+fMPnHec6GSk2FYcMgIQFcrsD7YcMgNZX1W7fT4/4PKIyrT2zWGsbceTldmtR2Nq9UCyraIiIicli+HTmMy1pY8EYz9KPVDH36PRzZn2PyZOjcGcaMgZwcsDbwfswYfj3hVHo+9AmFcSnEZq3hzbsG0b1lcugzSrWkoi0iIiKH7Ymh/Rl3zbH4s7YwNaMm7Ya+wIZtGaELkJoKAwdCfj6UlOzxpfcTmzLw4sfwRdeg8Y7lfPDAlZzQIjF02aTaU9EWERGRI3Lq0W1Y/eoNJOxcQUHNZpz06GQeGjMpNN985Mi/FWw/cP0x/bj3iqcw/lKee+8eJpvVHNVIG9JIaKloi4iIyBGL8Hr449XhXN8pElucz9urvLQZ8gJzFq4M7jceN26Por04tibHnH8f35w5jIS18/ju7du4IH0NcR+OD24OkX1Q0RYREZEK88Dgs1j67GBiM5ZREN+QS95ZRK8RL7N2c1pwvmFuLgDFxsXNnc+g37WvsLNFV0767g3mffQIzQpz9zhOJJQ8TgcQERGRqiU+NprFr4/g4x8WctvrU1lTrx2nPD2DNp50nh16Dp1aNq6w7+WPjeXJuu14/dSr8Cc3JXLDYl6e8gKn79i054FxcRX2PUXKS0VbREREgmLAyZ0YcHInHnzna978bgMrU9pwzn/nEZ/7KVd1b8GNA04jLibqsB573ZZ0Hh83lamXj8TWagCZmxk06XH+s/zHv79c7/XC4MFH/POIHCoVbREREQmqh686k4evOpOnJs7g5c9+Jrt2E15aZHnxt8+oXZLGCU1rcvbx7TjlmLbUiN/3JjI5eQV88cM8pvy+gt835ZMTUx/jroXPn8uFXz3Ho4u/J86/n10qvV4YPjyIP6HIvqloi4iISEjcNfBU7hp4Kss3ZnD9qIms3ZFDRkIKUzJqMeWrrdgvNmHzd+LxFeLFB8ZQal2UemIgpgbGuIBkfDYNd9oKaicmceXFp3LbBY0xF/0EJWbPFUi83sDbxInQooVjP7dUXyraIiIiElJtGiYyc+RQALbuzOM/42fy/dzlFBQVU4qLEpeHYpcnsPGM9eHyZ+PJ3kxkVCT1GzbmgjNP5h8nNiUu2lv2iO3gjz9g1CgYOzZw4WNcXGC6yPDhKtniGBVtERERcUxKzVhevqEv0HePz/v9fopL/URFlLOqtGgBo0cH3kTChIq2iIiIhB2Xy0VUhFYhlspNI1hEREREJAhUtEVEREREgkBFW0REREQkCFS0RURERESCQEVbRERERCQIVLRFRERERIJARVtEREREJAhUtEVEREREgkBFW0REREQkCFS0RURERESCQEVbRERERCQIVLRFRERERIJARVtEREREJAhUtEVEREREgkBFW0REREQkCFS0RURERESCQEVbRERERCQIjLXW6QyHxRiTAyx3OoeEnSRgu9MhJOxoXMi+aFzIvmhcyL60sdbGH+qdPMFIEiLLrbVdnQ4h4cUY85vGhexN40L2ReNC9kXjQvbFGPPb4dxPU0dERERERIJARVtEREREJAgqc9F+zekAEpY0LmRfNC5kXzQuZF80LmRfDmtcVNqLIUVEREREwlllPqMtIiIiIhK2VLRFRERERIIg7Iu2MaaPMWa5MWaVMeaefXw90hjzv7Kv/2yMaRr6lBJq5RgXtxtjlhhj/jDGTDfGNHEip4TWwcbFbscNNMZYY4yW8KriyjMmjDEXlz1fLDbGvB/qjBJ65fgd0tgY850xZl7Z75F+TuSU0DLGvGmMSTPGLNrP140x5oWycfOHMabLwR4zrIu2McYNvAT0BdoDlxlj2u912LVAprW2JTAKeDK0KSXUyjku5gFdrbWdgYnAU6FNKaFWznGBMSYeuBX4ObQJJdTKMyaMMa2Ae4Hu1toOwD9DHlRCqpzPFQ8AE6y1xwCXAi+HNqU45G2gzwG+3hdoVfY2BHjlYA8Y1kUb6AasstauttYWA+OB/nsd0x94p+z2RKC3McaEMKOE3kHHhbX2O2ttftmHc4CGIc4ooVee5wuARwj84VUYynDiiPKMieuBl6y1mQDW2rQQZ5TQK8+4sEBC2e0awOYQ5hOHWGtnAjsOcEh/4F0bMAeoaYypd6DHDPei3QDYsNvHG8s+t89jrLWlQBaQGJJ04pTyjIvdXQtMDmoiCQcHHRfGmGOARtbaL0IZTBxTnueK1kBrY8yPxpg5xpgDnc2SqqE84+IhYJAxZiPwFXBLaKJJmDvU/hH2W7Dv68z03usRlucYqVrK/d/cGDMI6AqcGtREEg4OOC6MMS4C08v+EapA4rjyPFd4CLwM3JPAK1+zjDEdrbU7g5xNnFOecXEZ8La1dqQx5kRgbNm48Ac/noSxQ+6c4X5GeyPQaLePG/L3l2/+OsYY4yHwEs+BTvtL5VeecYEx5nTgfuA8a21RiLKJcw42LuKBjsD3xpi1wAnAZ7ogskor7++QT621JdbaNcByAsVbqq7yjItrgQkA1trZQBSQFJJ0Es7K1T92F+5F+1eglTGmmTEmgsAFCZ/tdcxnwFVltwcC31rtwlPVHXRclE0R+C+Bkq05l9XDAceFtTbLWptkrW1qrW1KYO7+edba35yJKyFQnt8hk4BeAMaYJAJTSVaHNKWEWnnGxXqgN4Axph2Bop0e0pQSjj4DrixbfeQEIMtau+VAdwjrqSPW2lJjzM3AVMANvGmtXWyM+Q/wm7X2M+ANAi/prCJwJvtS5xJLKJRzXDwNxAEfll0bu95ae55joSXoyjkupBop55iYCpxpjFkC+IA7rbUZzqWWYCvnuBgBvG6MGU5gasA/dBKv6jPGfEBgGllS2fz8BwEvgLX2VQLz9fsBq4B84OqDPqbGjYiIiIhIxQv3qSMiIiIiIpWSiraIiIiISBCoaIuIiIiIBIGKtoiIiIhIEKhoi4iIiIgEgYq2iIiIiEgQqGiLiIiIiASBiraISDVgjPnOGHNG2e1HjTEvOJ1JRKSqC+udIUVEpMI8CPzHGFMHOAbQTqkiIkGmnSFFRKoJY8wMIA7oaa3NcTqPiEhVp6kjIiLVgDGmE1APKFLJFhEJDRVtEZEqzhhTD3gP6A/kGWPOcjiSiEi1oKItIlKFGWNigI+BEdbapcAjwEOOhhIRqSY0R1tEREREJAh0RltEREREJAhUtEVEREREgkBFW0REREQkCFS0RURERESCQEVbRERERCQIVLRFRERERIJARVtEREREJAj+H7Bmu96OjhkLAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu_plot, var_plot = ed.model.predict(x_plot)\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(ed.loop_state.X, ed.loop_state.Y, \"ro\", markersize=10, label=\"Observations\")\n", "plt.plot(x_plot, y_plot, \"k\", label=\"Objective Function\")\n", "plt.plot(x_plot, mu_plot, \"C0\", label=\"Model\")\n", "plt.fill_between(x_plot[:, 0],\n", " mu_plot[:, 0] + np.sqrt(var_plot)[:, 0],\n", " mu_plot[:, 0] - np.sqrt(var_plot)[:, 0], color=\"C0\", alpha=0.6)\n", "\n", "plt.fill_between(x_plot[:, 0],\n", " mu_plot[:, 0] + 2 * np.sqrt(var_plot)[:, 0],\n", " mu_plot[:, 0] - 2 * np.sqrt(var_plot)[:, 0], color=\"C0\", alpha=0.4)\n", "\n", "plt.fill_between(x_plot[:, 0],\n", " mu_plot[:, 0] + 3 * np.sqrt(var_plot)[:, 0],\n", " mu_plot[:, 0] - 3 * np.sqrt(var_plot)[:, 0], color=\"C0\", alpha=0.2)\n", "plt.legend(loc=2, prop={'size': LEGEND_SIZE})\n", "plt.xlabel(r\"$x$\")\n", "plt.ylabel(r\"$f(x)$\")\n", "plt.grid(True)\n", "plt.xlim(0, 1)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. References" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Saito, T. *Tsunami Generation and Propagation* Springer Geophysics, 2019\n", "\n", "- Rasmussen, C. E. and Williams, C. K. I., 2005. *Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning.* The MIT Press, 2005\n", "\n", "- Sacks, J., Welch, W., Mitchell, T.J. and Wynn, H. *Design and Analysis of Computer Experiments*, Statistical Science, 1989" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 2 }