{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 3: Global Optimization with Gaussian Processes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gaussian Process Summer School 2019" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal of this lab session is to illustrate the concepts seen during the tutorial in Gaussian processes for Global optimization. We will focus on two aspects of Bayesian Optimization (BO): (1) the choice of the model (2) the choice of the acquisition function.\n", "\n", "The technical material associated to the methods used in this lab can be found in the slides of the tutorial. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Getting started" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition to GPy, this lab uses GPyOpt (http://sheffieldml.github.io/GPy/), a satellite module of GPy useful to solve global optimization problems. Please be sure that it is correctly installed before starting by following the Getting Started page." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some of the options of GPyOpt depend on other external packages: DIRECT, cma, pyDOE. Please be sure that this are installed if you want to use all the options. With everything installed, you are ready to start. \n", "\n", "Now, just as in the previous lab, specify to include plots in the notebook and to import relevant libraries." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline \n", "import GPy\n", "import GPyOpt\n", "import numpy as np\n", "from numpy.random import seed\n", "seed(12345)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Remembering the basics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before starting with the lab, remember that (BO) is an heuristic for global optimization of black-box functions. Let $f: {\\mathcal X} \\to R$ be a 'well behaved' continuous function defined on a compact subset ${\\mathcal X} \\subseteq R^d$. Our goal is to solve the global optimization problem of finding\n", "$$ x_{M} = \\arg \\min_{x \\in {\\mathcal X}} f(x). $$\n", "\n", "We assume that $f$ is a *black-box* from which only perturbed evaluations of the type $y_i = f(x_i) + \\epsilon_i$, with $\\epsilon_i \\sim\\mathcal{N}(0,\\sigma^2)$, are available. The goal is to find $x_M$ by minimizing the number of evaluations of $f$. To do this, we need to determine two crucial bits:\n", "\n", "1. A **Gaussian process** that will capture the our beliefs on $f$. \n", "\n", "2. An **acquisition function** that based on the model will be useful to determine where to collect new evaluations of f. \n", "\n", "Remember that every time a new data point is collected the model is updated and the acquisition function optimized again. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Running example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start with a one-dimensional example. Consider here the Forrester function \n", "\n", "$$f(x) =(6x-2)^2 \\sin(12x-4),$$ defined on the interval $[0, 1]$. \n", "\n", "The minimum of this function is located at $x_{min}=0.78$. We assume that the evaluations of $f$ to are perturbed by zero-mean Gaussian noise with standard deviation 0.25. The Forrester function is part of the benchmark of functions of GPyOpt. To create the true function, the perturbed version and the boundaries of the problem you need to run the following cell. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "f_true = GPyOpt.fmodels.experiments1d.forrester() # true function object\n", "f_sim = GPyOpt.fmodels.experiments1d.forrester(sd=.25) # noisy version\n", "bounds = f_true.bounds # problem constrains (implemented by default)\n", "f_objective = f_sim.f # objective function " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot the true $f$, simply write:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f_true.plot(bounds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "f_objective contains the function that we are going to optimize. You can define your own objective but it should be able to map any numpy array of dimension $n\\times d$ (inputs) to a numpy array of dimension $n\\times 1$ (outputs). For instance:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.92961609],\n", " [0.31637555],\n", " [0.18391881],\n", " [0.20456028],\n", " [0.56772503],\n", " [0.5955447 ],\n", " [0.96451452],\n", " [0.6531771 ]])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n = 8\n", "x = np.random.rand(n).reshape(n,1)\n", "x" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 9.99379804],\n", " [ 0.30951655],\n", " [-0.53213703],\n", " [-0.92083089],\n", " [ 0.70757395],\n", " [ 0.04499155],\n", " [14.12247715],\n", " [-2.14113699]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f_objective(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bounds of the problem shoould be defined as a tuple containing the upper and lower limits of the box in which the optimization will be performed. In our example:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "bounds = [{'name': 'var_1', 'type': 'continuous', 'domain': (0,1)}] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use BO to solve this problem, we need to create a GPyOpt object in which we need to specify the following elements: \n", "* The function to optimize.\n", "* The box constrains of the problem.\n", "* The model, that is fixed by default to be a GP with a SE kernel.\n", "* The acquisition function (and its parameters)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create an SE kernel as we do in GPy" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "k = GPy.kern.RBF(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we have all the elements to start optimizing $f$. We create the optimization problem instance. Note that you don't need to specify the evaluation budget of. This is because at this stage we are not running the optimization, we are just initializing the different elements of the BO algorithm. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Creation of the object that we will use to run BO.\n", "seed(1234)\n", "myBopt = GPyOpt.methods.BayesianOptimization(f = f_objective, # function to optimize \n", " domain = bounds, # box-constrains of the problem\n", " kernel = k, # kernel of the GP \n", " acquisition_type='EI') # acquisition = Expected improvement" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "?GPyOpt.methods.BayesianOptimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point you can access to a number of elements in myBopt, including the GP model and the current dataset (initialized at 3 random locations by default)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.19151945],\n", " [0.62210877],\n", " [0.43772774],\n", " [0.78535858],\n", " [0.77997581]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "myBopt.X" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.95287634],\n", " [-1.19407487],\n", " [ 0.29000479],\n", " [-5.3506129 ],\n", " [-5.22815975]])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "myBopt.Y" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Run the optimization (may take a few senconds)\n", "max_iter = 15 # evaluation budget\n", "myBopt.run_optimization(max_iter) # run optimization " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And that's it! You should have receive a message describing if the method converged (two equal x's are selected in consecutive steps of the optimization) or if the maximum number of iterations was reached. In one dimensional examples, you can visualize the model and the acquisition function (normalized between 0 and 1) as follows." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "myBopt.plot_acquisition()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can only make the previous plot if the dimension of the problem is 1 or 2. However, you can always how the optimization evolved by running:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "myBopt.plot_convergence()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first plot shows the distance between the last two collected observations at each iteration. This plot is useful to evaluate the convergence of the method. The second plot shows the best found value at each iteration. It is useful to compare different methods. The fastest the curve decreases the best is the method. The last one shows the predicted sdev. at the next location. This plot is useful to study the exploration/exploitation that is carried out at each step of the optimization. See how the method converged after 10 iterations. You can also print the updated GP.\n", "\n", "The noise variance is automatically bounded to avoid numerical problems. In case of having a problem where the evaluations of $f$ are exact you only need to include 'exact_feval=True' when creating the BO object as above. Now, to run the optimization for certain number of iterations you only need to write:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GP regression
\n", "Objective: -2.215596090516634
\n", "Number of Parameters: 3
\n", "Number of Optimization Parameters: 3
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "
GP_regression. value constraints priors
rbf.variance 2.2938642476181945 +ve
rbf.lengthscale 0.11088635100243982 +ve
Gaussian_noise.variance0.0026639968440545531e-09,1000000.0
" ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "myBopt.model.model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use Bayesian optimization to find the minimum of the function $f(x)= x^2 + 10 \\sin(x)$ in the interval [-10, 10]. \n", "\n", "(a) Define the bounds of the problem, the function and check that it admits a numpy array of observations as input." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[8.56492259],\n", " [3.15258865],\n", " [5.64364388],\n", " [6.70667823],\n", " [4.78655946],\n", " [5.46222156],\n", " [8.2777045 ],\n", " [2.81455086]])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def g(x):\n", " return x**2 + 10*np.sin(x)\n", "\n", "bounds_g = [{'name': 'var_1', 'type': 'continuous', 'domain': (-10,10)}] \n", "\n", "x = np.random.rand(n).reshape(n,1)\n", "g(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b) Create a GPyOpt object for global optimization using a Mattern52 kernel and adding a gitter of $0.1$ to the expected improvement acquisition (Hint: when creating the object use the option acquisition_par = 0.1). " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "k_g = GPy.kern.Matern52(1)\n", "\n", "BO_g = GPyOpt.methods.BayesianOptimization(f = g, \n", " domain = bounds_g, \n", " kernel = k_g, \n", " acquisition='EI',\n", " acquisition_par = 0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(c) For stability reasons, constrain the noise of the model to be 10e-4. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "BO_g.model.noise_var = 0.0001" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(d) Run the optimization for 10 iterations. Make and comment the convergence plots. Has the method converged? " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "BO_g.run_optimization(10)\n", "BO_g.plot_acquisition()\n", "BO_g.plot_convergence()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Acquisition functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section we are going to have a look to different acquisition functions. In GPyOpt you can use the expected improvement ('EI') the maximum probability of improvement ('MPI') and the lower confidence bound. When using GPyOpt you can simply specify the acquisition that you want at the moment of creating the BO object. However, you can also load these acquisitions as separate objects." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "from GPyOpt.acquisitions import AcquisitionEI, AcquisitionLCB, AcquisitionMPI " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To access these acquisitions 'externally' we create a GP model using the objective function in Section 1 evaluated in 10 locations." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "seed(1234)\n", "n = 10\n", "X = np.random.rand(n).reshape(n,1)\n", "Y = f_objective(X)\n", "m = GPy.models.GPRegression(X,Y)\n", "m.optimize()\n", "m.plot([0,1])\n", "\n", "## Now we pass this model into a GPyOpt Gaussian process model\n", "\n", "from GPyOpt.models import GPModel\n", "model = GPModel(optimize_restarts=5,verbose=False)\n", "model.model = m" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define the bounds of the input space to be between zero and one." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "from GPyOpt import Design_space ## GPyOpt design space\n", "\n", "space = Design_space([{'name': 'var_1', 'type': 'continuous', 'domain': (0,1)}] )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's have a look to see what do we need to create an acquisition, for instance the Expected improvement and the Lower Confidence Bound." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "AcquisitionEI?" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "AcquisitionLCB?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we create thee objects, one for each acquisition. The gitter parameter, to balance exploration and exploitation, need to be specified." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "acq_EI = AcquisitionEI(model,space, jitter = 0)\n", "acq_LCB = AcquisitionLCB(model,space,exploration_weight = 2)\n", "acq_MPI = AcquisitionMPI(model,space,jitter = 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The objects acq_EI, acq_LCB, acq_MPI contain the acquisition functions and their gradients. By running the following piece of code you can visualize the three acquisitions. Note that we add a negative sign before each acquisition. This is because within GPyOpt these functions are minimized (instead of maximized) using gradient optimizers (like BFGS) to select new locations. In this plot, however, the larger is the value of the acquisition, the better is the point. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the three acquisition functions (factor 0.1 added in in the LCB for visualization)\n", "X_grid = np.linspace(0,1,200)[:, None]\n", "plt.figure(figsize=(10,6))\n", "plt.title('Acquisition functions',size=25)\n", "plt.plot(X_grid, - 0.1*acq_LCB.acquisition_function(X_grid),label='LCB')\n", "plt.plot(X_grid, -acq_EI.acquisition_function(X_grid),label='EI')\n", "plt.plot(X_grid, -acq_MPI.acquisition_function(X_grid),label='MPI')\n", "plt.xlabel('x',size=15)\n", "plt.ylabel('a(x)',size=15)\n", "legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(a) According to the previous plot, what areas in the domain are worth exoloring and why? How can we interpret the previous plot in terms of the exploration/exploitation trade off of each one of the three acquisitions?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b) Now make a plot comparing the shape of the LCB acquisition (of GP-UCB in the literature) with values different values of parameters. Use the values $[0,0.1,0.25,0.5,1,2,5]$. How does the decision about where to collect the sample change when we increase the value of the parameter?" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "acq_LCB = AcquisitionLCB(model,space,exploration_weight = 0)\n", "grid_par = np.array([0,0.5,1,2,3,5])\n", "\n", "plt.figure(figsize=(10,6))\n", "plt.title('Acquisition functions',size=15)\n", "for param in grid_par:\n", " acq_LCB = AcquisitionLCB(model,space,exploration_weight = param)\n", " plt.plot(X_grid, -acq_LCB.acquisition_function(X_grid),label=str(param))\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider the sixhumpcamel function defined as\n", "$$f(x_1,x_2) = \\left(4-2.1x_1^2 + \\frac{x_1^4}{3} \\right)x_1^2 + x_1x_2 + (-4 +4x_2^2)x_2^2,$$\n", "\n", "in $[-2,2]\\times [-1,1]$. This function has two global minima, at $(0.0898,-0.7126)$ and $(-0.0898,0.7126)$. This function is also implemented in GPyOpt so, to load and visualize it simply run." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "GPyOpt.fmodels.experiments2d.sixhumpcamel().plot()\n", "f_shc = GPyOpt.fmodels.experiments2d.sixhumpcamel(sd = 0.1).f # simulated version with some noise" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(a) Create three objects to optimize this function using the the 'EI' (with parameter equal to zero), the LCB (with parameter equal to 2) and the MPI (with parameter equal to zero). Use the same initial data in the three cases (Hint: use the options 'X' and 'Y' when creating the BO object)." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "from GPyOpt import Design_space ## GPyOpt design space\n", "\n", "bounds_shc = GPyOpt.fmodels.experiments2d.sixhumpcamel().bounds\n", "variables = [{'name': 'var_1', 'type': 'continuous', 'domain': bounds_shc[0]},\n", " {'name': 'var_2', 'type': 'continuous', 'domain': bounds_shc[1]}]\n", "\n", "space = GPyOpt.Design_space(variables)\n", "\n", "\n", "from GPyOpt.experiment_design.random_design import RandomDesign\n", "seed(12345)\n", "n_data = 3\n", "sampler = RandomDesign(space)\n", "X = sampler.get_samples(n_data)\n", "Y = f_shc(X)\n", "\n", "BO_EI = GPyOpt.methods.BayesianOptimization(f_shc,variables,X=X,Y=Y,acquisition='EI',jitter=0)\n", "BO_LCB = GPyOpt.methods.BayesianOptimization(f_shc,variables,X=X,Y=Y,acquisition='LCB',acquisition_weight=2)\n", "BO_MPI = GPyOpt.methods.BayesianOptimization(f_shc,variables,X=X,Y=Y,acquisition='MPI',jitter=0)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b) In the three cases run the optimization for 30 iterations" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "max_iter = 30\n", "BO_EI.run_optimization(max_iter)\n", "BO_LCB.run_optimization(max_iter)\n", "BO_MPI.run_optimization(max_iter)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(c) Now make a plot comparing the three methods. The x axis should contain the number of iterations and y axis the best found value (Hint: use .Y_best to extract from the BO objects the best current value at each iteration). Which acquisition is has the best performance in this example?" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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GHG/3PP4LdnZu8TsM3xSXTCEy5Sy/w9hvh9dWUBks9DsMERFJU+kyjJjTydavl/6clTn8t9qco3BBB5t7MrOg/wcOruHGi5r8DkNEREYwUg9UtsvpZOuf5nyfts7tfofhi7bWV/g/O57gcydv4+iDLvQ7nFH75d9X8MTbm9jd20dBnrb4FBGR9JXTydapR33E7xB807fpLX7+lwU0d73J5+sm+h3OqH3wsC7uf209r6zextENlX6HIyIiaWjwnK0zzjhjT/mHVMrpZCuXBSqmMberm4U7lvkdyn45bnqYgMHfl7Qo2RIRkbh6e3vjHn/iiSdSGofGX3JVYSlNffk097SxoX2D39GMWnlJAXOmVvDkks1+hyIiIrJPSrZy2NyiagAWbkxdFd1kOnFGhNeat7GtY5ffoYiIiAxLyVYOO2hCA2UOXtr4kt+h7JeTDgzT5+CZZa1+hyIiIjIsJVs5LG/iNI7o6mLhhszs2Tq8toKyonyeWtLidygiIiLDUrKVyyrqaOrsZOWOlWzuzLy5T/l5AY4/oIon392Mc87vcEREROJSspXLKupo6uwGMnve1tptnazY3O53KCIiInEp2cplFXXM2rWLkkBBxg4lnjQjAsBTWpUoIiKDhEKhuMdvu+02DjnkEA4++GBmz57N9ddfD8All1xCQ0MDc+bMYebMmVx11VVJiUPJVi4rn0o+cERRJGMnyddVlTKtqlTztkREJCEPPvggP/nJT3j44Yd54403ePnllykvL9/z/I9//GMWLVrEokWLuPXWW1mxYsWY21SylcuKQlBSSRMlLN22lK1dW/2OaL+cOCPMs8ta2dXT53coIiKS5q699lquv/56pkyZAkBxcTGf+9znhpzX1dUFQDAYHHObqiCf6yrqaOry5m29vPFlTpt2ms8Bjd6JMyL89rnVvLJ6K8c0VvkdjoiIDPbgt2HD68m95qRD4czRb72zePFi5s6dO+zz3/rWt7jmmmtYunQpX/3qV6murh5LlIB6tqSijkO2b6I4rzhjJ8kfN72KvIBp3paIiIxZ/zDihg0bWLBgAc8888yYr6merVxXUUfBkoc5/MCzMzbZmlBcwBFTK3hqSQvf/MBBfocjIiKD7UcP1Hg5+OCDeemll5g3b94+zwuFQpxyyin8/e9/5/jjjx9Tm+rZynUVddDTxdzKWbyz5R22d2/3O6L9cuKMCK+t3c7Wdm3dIyIiw7viiiv453/+ZzZs8PYF7u7u5qc//emQ83p6enj++eeZPn36mNtUspXrKuoAaCqehMPxyqZXfA5o/5x4YBjn4OllGkoUERFPR0cHtbW1e2433HADZ511Fl/+8peZP38+Bx98MHPnzqWnp2fPa771rW8xZ84cDjvsMA499FA+/OEPjzkODSPmuliydajLpyBQwEsbX+KUqaf4G9N+OCxazoTifJ56dzNnHzbF73BERCQN9PXFX6V+6aWXcumllw45fsstt4xLHOrZynXlUwEo3rGBQ8OHZmxx0/y8ACccEOapJS3aukdERNKKkq1cVzwBiitg22qaJjXx1pa3aN+dmVvfnDgjwrrtXSxrycz4RUQkOynZEm8ocdtqmmqa6HW9mTtva0YYQNXkRUQkrSjZEi/Z2r6GwyOHk2/5GTuUOLWylIZwUPW2REQkrSjZkj09W6X5JcwOz87Yelvg9W49t1xb94iISPpQsiVesrW7Azpaaapp4o3Nb9DZ0+l3VPvlxBkROnb18vLqzNznUUREso+SLdlT/oFtq2iqaaLH9fBqy6v+xrSfjm2sjG3do3lbIiK5zsy46KKL9jzu6ekhEolw9tlnA16ph0gkwpw5c5g9ezb/8z//s+f4V77ylaTFoWRLBiRbazii+ggCFsjYeVtlxQUcWVeheVsiIkIwGGTx4sV0dnqjNY888gjRaHSvc84//3wWLVrEE088wXe+8x02btyY9DiUbMmeWltsW02oMMSsylkZPm8rwutrt7NFW/eIiOS8M888k/vvvx+AO+64gwsvvDDuedXV1UyfPp1Vq1YlPQZVkBcoqYCicti2GoCmmibuePsOunu7Kcor8jm40TtxRpgbHnmXp5du5oOHq5q8iIjffvTCj3h7y9tJvebMypn8y9H/MuJ5F1xwAT/4wQ84++yzee2117jssst46qmnhpy3fPlyli9fzgEHHMCbb76Z1FjVsyWe2IpEgLk1c9nVt4vXWl7zOaj9c1hthbd1j+ZtiYjkvMMOO4yVK1dyxx13cNZZZw15/q677mLOnDlceOGF3HjjjVRWViY9BvVsiaeiDrauAODImiMxjIUbF3LUpKN8Dmz08gLG+2aEeWrJZpxzmJnfIYmI5LREeqDG0znnnMM3v/lNnnjiCVpbW/d67vzzz+dnP/vZuLavni3xVEz1eraco7yonAMnHshLG1/yO6r9duKMCOu3d7Gspc3vUERExGeXXXYZV155JYceeqgv7SvZEk9FHexqg06vPlXTpCZe3fQqu3t3+xzY/nnfAd7WPU++q1WJIiK5rra2lq997Wu+ta9kSzx7yj+8N0m+q7eLN1rf8DGo/Te1spTGcFDztkREclhb29DRjVNOOYW//OUvAFxyySVxhxCHO76/kpJsmdkZZvaOmS01s2/Heb7IzO6KPf+8mdUno11JogHlH8CbtwVkeAmIMM8t30J3T6/foYiISA4bc7JlZnnAz4EzgdnAhWY2e9BpnwG2OucOAP4T+NFY25UkG9SzVVlcyfTy6Rlb3BS8eVudu3t5aZW27hEREf8ko2fraGCpc265c24XcCdw7qBzzgVujf38R+A00xKx9FIyEQrL9iRb4M3bemXTK/T09fgY2P47dnoV+QFTNXkREfFVMpKtKLBmwOPm2LG45zjneoDtQFUS2pZkMfN6t7a/91E21TTR0dOR9EJ0qRIqyufIaRM1b0tExCfOOb9DGBej/b2SkWzF66EaHEUi53gnml1uZgvNbGFLi/5IplR/+YeYpklNABk9lHjSjDCL1+6gta3b71BERHJKcXExra2tWZdwOedobW2luLg44dcko6hpMzB1wONaYN0w5zSbWT5QDmyJdzHn3E3ATQBNTU3Z9Qmlu4o6WPXMnofhkjD1E+pZuHEhlxxyiX9xjcGJMyJc//C7/H3pZs6dM7jDVURExkttbS3Nzc1kY8dJcXExtbW1CZ+fjGTrRWCGmTUAa4ELgE8MOuc+4GLgWeCjwGMu21LdbFBRB907oHObt18i3tY9D698mN6+XvICeT4HOHqHRMupKC3gqSVKtkREUqmgoICGhga/w0gLYx5GjM3B+grwEPAW8Hvn3Btm9gMzOyd22q+AKjNbCvwTMKQ8hKSBQSsSwUu2du7eybtb3/UpqLHJCxgnHBDmqSUtWdeVLSIimSEpeyM65x4AHhh07MoBP3cBH0tGWzKOBtbamnwYwJ69ERduXMisqll+RTYmJ80Ic/9r61m6qY0ZNWV+hyMiIjlGFeTlPRXTvPsBPVuTgpOIhqIZvU/i+2ZEAHhSJSBERMQHSrbkPaWVUBDcq/wDeCUgXtr4En2uz6fAxiZaUcL0iLbuERERfyjZkvf019oa0LMFXgmIbd3bWLZtmU+Bjd2JMyI8t7xVW/eIiEjKKdmSvVVMhW2r9jrUVBOrt5XB+ySedGCYrt19vLRSW/eIiEhqKdmSvcXp2YqGotSU1mR0cdNjGqooyDPN2xIRkZRTsiV7q6iDru3eLcbMaJrUxMKNCzO2fEKwKJ+52rpHRER8oGRL9ran/MPQSfJburawcsfK1MeUJCfOiPDGuh1s1tY9IiKSQkq2ZG9xyj9AdszbOnFGGICnl2ooUUREUkfJluytv4r8oPIP0yZMI1wSzuh5WwdPKWdiaQFPvqtkS0REUkfJluwtGIb8kiE9W2ZGU01mz9vS1j0iIuIHJVuyN7O45R/A2ydxU8cmmnc2+xBYcpw0I8Kmnd28u7HN71BERCRHKNmSoeKUf4DsmLf1vti8La1KFBGRVFGyJUNV1A1ZjQgwvWI6E4smZnSyNaWihAOqQ6q3JSIiKaNkS4aqqIPOLdC9c6/DZsbcmrkZvSk1eKsSn1/eStdubd0jIiLjL9/vACQNDay1VTN7r6eaJjXx6OpHWd+2nsmhyT4EN3YnzYhw89Mr+e1zqziwpszvcHzREA4ytbLU7zBERHKCki0Zqr/W1vY4ydaAeVsfDH0w1ZElxTGNlZQW5nHN/W/5HYpvivID/O6zx9BUX+l3KCIiWU/JlgzVX2srziT5GRNnUFZY5iVb0zMz2SotzOehr5/Epp1dfofii929ju/c/TqfuXUhf/ricRxQnZu9eyIiqaJkS4YKRiCvKG75h4AFmFs9N6OLmwJMrSzN6WG0Wy87mg//v2f49K9e4O4vncCk8mK/QxIRyVqaIC9DBQKxWltDe7bAm7e1eudqNnVsSnFgkixTK0u5+ZKj2NHVwyU3v8D2zt1+hyQikrWUbEl8w5R/gPfmbWX6qsRcd0i0nBsvmsuyljYuv22hVmeKiIwTJVsS3zCFTQEOqjyIYEEw44cSBU44IMz1Hzuc51ds4Z9+v4jePm1jJCKSbJqzJfGVT4WOzbCrHQqDez2VH8jniOojeGjVQ2zq3P+hxBOmnMAFMy8Ya6QyRufOidKys5tr7n+LSOgNvn/OwZiZ32GJiGQNJVsSX3/5h21roHrmkKc/duDHaO1sZUP7hv26fGtnK8+vf57zZpxHUV7RWCKVJPjsiY1s2N7FL/++gpryYr50ygF+hyQikjWUbEl8/eUftsdPtubVzWNe3bz9vvwza5/h849+nmfWPsOpdafu93Ukeb5z1iw27ezm3//6DtVlxXx0bq3fIYmIZAXN2ZL49tTaGlr+IRmOmnwUEwon8OjqR8fl+jJ6gYBx/ccO54QDqviXP73GE+9otamISDIo2ZL4QjWQVzjsJPmxKggUcMrUU3h8zePs7lPZgXRRmB/gF5+ay0E1ZXzpdy/z6pptfockIpLxlGxJfIEAlNcOW/4hGebXzWfnrp28uP7FcWtDRq+suIBbLjuKymAhl93yIis3t/sdkohIRlOyJcPbR/mHZDg+ejyl+aU8svqRcWtD9k91WTG3XXY0Dvj0r1+gZWe33yGJiGQsJVsyvHFOtoryijip9iQeW/0YvX0qqJluGiMhfnVxEy07u7n0lhdo6+7xOyQRkYykZEuGV14H7Ztgd+e4NXHatNPY0rWFVza9Mm5tyP47om4iP//kEby1fidf/O1L7Orp8zskEZGMo2RLhren/EPzuDVxUvQkivKKtCoxjc2bWcO15x3KU0s28y9/eo0+VZkXERkVJVsyvHEu/wBQWlDK8VOO59FVj9Ln1GuSrj5+1FS+cfqB3PPKWn700Nt+hyMiklGUbMnwKqZ69+M4bwtg/rT5bOzYyBub3xjXdmRsvjLvAD51bB03/m05v3lu/BJwEZFso2RLhlc2GQL541r+AeDk2pPJt3ytSkxzZsZV5xzCkXUV/ObZlX6HIyKSMZRsyfACebFaW+Pbs1VeVM4xk4/h0VWP4pzmA6WzvIDRVF/JytYOejV3S0QkIWNKtsys0sweMbMlsfuJcc6ZY2bPmtkbZvaamZ0/ljYlxca5/EO/+dPms2bnGt7d+u64tyVj0xgOsqunj3Xbxm+VqohINhlrz9a3gQXOuRnAgtjjwTqATzvnDgbOAH5iZhVjbFdSpTw1ydapU08lYAGtSswAjZEQAMta2nyOREQkM4w12ToXuDX2863Ahwaf4Jx71zm3JPbzOmATEBlju5IqFXXQtgF6xreCeFVJFUdWH8mjq5RspbvGSBCA5S3axkdEJBFjTbZqnHPrAWL31fs62cyOBgqBZWNsV1IlBbW2+s2fNp+l25ayYvuKcW9L9l9VsJCy4nyWb1bPlohIIkZMtszsUTNbHOd27mgaMrPJwG+AS50bvqCSmV1uZgvNbGFLS8tompDxkIJaW/1OqzsNgAWrF4x7W7L/zIzGSIgV2qBaRCQhIyZbzrn5zrlD4tzuBTbGkqj+ZGpTvGuY2QTgfuBfnXPPjdDeTc65JudcUySi0UbfpajWFsCk4CQOCx/GI6tUAiLdTQ8HNYwoIpKgsQ4j3q4xCcAAACAASURBVAdcHPv5YuDewSeYWSFwD3Cbc+4PY2xPUq1sCljeuNfa6jd/2nzebH2TdW3rUtKe7J/GSJD127vo2KXNqUVERjLWZOs64HQzWwKcHnuMmTWZ2S9j53wcOAm4xMwWxW5zxtiupEpePpRHU9KzBTC/bj6AJsqnuf4VierdEhEZ2ZiSLedcq3PuNOfcjNj9ltjxhc65z8Z+/q1zrsA5N2fAbVEygpcUSVH5B4CpE6Zy0MSDVAIizTWEYysSNW9LRGREqiAvI6uog+2pGUYEbyhx0aZFtHRogUS6aggHMYMV6tkSERmRki0ZWUUd7FgHPbtS0tz8uvk4HI+tfiwl7cnoFRfkMaW8ROUfREQSoGRLRlZRBzjYMf61tgCmV0ynfkK9NqZOc40RrUgUEUmEki0ZWQrLP4BXx+n0aaezcMNCtnVtS0mbMnrTIyGWt7Rp83ARkREo2ZKR7Slsmrp5W6dNO41e18vjax5PWZsyOg3hIO27etm0c3y3chIRyXRKtmRkE6JggZT1bAHMrpxNNBTVqsQ01r9HojakFhHZNyVbMrK8Ai/hSmGyZWacVncaz657lrZd+mOejvprbWnbHhGRfVOyJYkpn5rS8g/glYDY3bebJ5ufTGm7kpjJE4opLghokryIyAiUbEliKlJX2LTf4ZHDiZRENJSYpgIBoyHsTZIXEZHhKdmSxFTUwY610Ls7ZU0GLMC8unn8fe3f6ezpTFm7krjGSFBV5EVERqBkSxJTMRVcn5dwpdDp006ns6eTZ9Y+k9J2JTGN4SBrtnTQ3dPrdygiImlLyZYkxofyDwBza+ZSUVShAqdpqjESpM/Bmi0dfociIpK2lGxJYvYkW6mdt5UfyOfUqafytzV/Y1dvarYLksQ1hr0Vics0SV5EZFhKtiQxE2oBS3myBd6qxLbdbTy//vmUty371l9rSysSRUSGp2RLEpNfCGWTfUm2jp18LKGCkFYlpqGy4gIiZUVakSgisg9KtiRxFXUpr7UFUJhXyEm1J/HY6sfo6etJefuybw1hrUgUEdkXJVuSuIo62LbKl6ZPn3Y627q38fLGl31pX4Y3PRJUFXkRkX1QsiWJq6iD7WuhN/W9S8dPOZ7ivGIeWaVViemmMRxiS/sutnVoAYOISDxKtiRxFVPB9cLO9SlvurSglPdF38eC1Qvoc30pb1+G996G1OrdEhGJR8mWJM6n8g/95k+bT0tnC6+1vOZL+xJf/4bUmiQvIhKfki1JXMU0796nZOuk2pPID+Tz6CqtSkwntRNLyA+YJsmLiAxDyZYkrrzWu/cp2SorLOO4ycfx6OpHcc75EoMMVZAXoK6qVD1bIiLDULIlicsvgtAk2O5PsgXeqsS1bWt5e8vbvsUgQzWGQ1qRKCIyDCVbMjoVdb71bAGcMvUU8ixPqxLTzPRIkJWtHfT2qcdRRGQwJVsyOj4nWxOLJ9JU06Rq8mmmMRJkV08fa7d2+h2KiEjaUbIlo1Mx1au11dfrWwjzp81nxfYVLNu2zLcYZG/9KxKXbda8LRGRwfL9DkAyTEUd9O2GnRugPOpLCPPq5vHD53/IVc9eRf2Eel9iyHUn157MadNO2/O4IfzehtSnHuRXVCIi6UnJlozOwFpbPiVb1aXVfOiAD/HsumdZ17bOlxhy2fbu7SxuXbxXslUVLGRCcT4r1LMlIjKEki0ZnYG1tqYd51sYV59wtW9t57rrXriOe5bcg3MOMwPAzGiMhFiuKvIiIkNozpaMTn+tLR/LP4i/akO1dPR0sLV7617HGyNBJVsiInEo2ZLRKSiBYLWvKxLFX9GQN3y8dufavY5Pj4TYsKOL9u7Ub1QuIpLOlGzJ6Plc/kH8FS2LJVtteydb/ZPkVdxURGRvSrZk9JRs5bTakDeU3NzWvNfxxoiXbC3Ttj0iIntRsiWjVzEVtjdDX5/fkYgPSgtKqSyupHnn3slWfVUQM/VsiYgMpmRLRq+iDnp3QdtGvyMRn0RD0SHDiMUFeUQrSjRJXkRkECVbMnoDyz9IToqXbIFXSX65am2JiOxlzMmWmVWa2SNmtiR2P3Ef504ws7Vm9rOxtis+Kp/q3W9f428c4ptoKMr69vX0Dtq2qTEcZEVLO85pQ2oRkX7J6Nn6NrDAOTcDWBB7PJyrgb8loU3xU0Us2dq2yt84xDfRsig9fT1s6ti01/HGSJD2Xb1s3NHtU2QiIuknGcnWucCtsZ9vBT4U7yQzmwvUAA8noU3xU2EQSsMaRsxhw65IDHsbUmsoUUTkPclItmqcc+sBYvfVg08wswDwH8C3RrqYmV1uZgvNbGFLS0sSwpNxofIPOW1PsrUzfvkHTZIXEXlPQnsjmtmjwKQ4T303wXa+BDzgnFvTv5facJxzNwE3ATQ1NWniR7qqmAprXoRX79z/a0w+HKpnJS8mSZlJoUkELDBkkvykCcWUFOQp2RIRGSChZMs5N3+458xso5lNds6tN7PJwKY4px0HnGhmXwJCQKGZtTnn9jW/S9JZzaHw5r1wz+f3/xoTovD11yGQl7y4JCUKAgXUlNYMSbYCAaMhHNQwoojIAAklWyO4D7gYuC52f+/gE5xzn+z/2cwuAZqUaGW4E78Bh34U2M/OxxVPwp+/BksXwIHvT2pokhrRUHTIMCJAQyTI683bfYhIRCQ9JSPZug74vZl9BlgNfAzAzJqALzjnPpuENiTdBAJQ2bD/r59QCwuuhlduU7KVoWrLanl67dNDjk8PB3nw9fV09/RSlK9eSxGRMU+Qd861OudOc87NiN1viR1fGC/Rcs7d4pz7yljblQyXXwiHXwDvPAht8UaeJd1FQ1FaOlvo6una63hjJESfg9WtHT5FJiKSXlRBXvxz5Kehr2dsk+zFN9FQFIB17ev2Ov7ehtSaJC8iAkq2xE+Rg2DqMfDKb0AVxzNObZlX/mHtzr0nyTeEY+UfNEleRARQsiV+O+Ii2PwurHne70hklPp7tgYXNi0rLiBSVqTyDyIiMUq2xF8HnweFIXj5N35HIqMULglTlFc0pGcLvD0Sl7eoZ0tEBJRsid+KQnDIh+GNu6Frh9/RyCgELMCU0JQhtbbAmyS/YrN6tkREQMmWpIMjPg27O7yESzJKNBSNm2xNjwTZ2rGbre27fIhKRCS9KNkS/9U2QWSWhhIzUDQUHTJnCwbskahJ8iIiSrYkDZjBkRfB2oWw8U2/o5FRmFo2lZ27drK9e++K8Y3hEKDyDyIioGRL0sVhF0CgwCsDIRmjf0Xi4KHE2oklFOSZViSKiKBkS9JFsApm/gO8egf0dPsdjSRouGQrPy9AXWUpKzSMKCKiZEvSyJEXQedWePt+vyORBEXLYslWvPIPkZB6tkREULIl6aTxVCifCi/f5nckkqAJhRMoKywbdpL8qtYOevu0O4CI5DYlW5I+Ankw55Ow/AnYttrvaCRBtaHauMnW9HCIXb19NG/VhtQiktuUbEl6OeKT3v0rv/M3DklYbVlt3GHEhv7yDxpKFJEcp2RL0ktFHUw/FV75LfT1+h2NJCAairKubR19rm+v442xDamXadseEclxSrYk/RxxEexohuWP+x2JJCAairKrbxebOzfvdbwyWEh5SYG27RGRnKdkS9LPzH+AkkpNlM8Q/eUfmnfuPW/LzGiMBDWMKCI5T8mWpJ/8Ijj8Anj7AWjfPPL54qvaslpgaK0t8CrJa8seEcl1SrYkPR1xEfTthlfv9DsSGcGU0BSAYcs/bNzRTVt3T6rDEhFJG0q2JD3VzIZok7d9j1OdpnRWlFdEdUl1/MKmsUnyKzSUKCI5TMmWpK8jL4KWt6F5od+RyAiiZdFhera8Dak1lCgiuUzJlqSvQz4CBUF4+Va/I5ER1IZq487ZmlZViplqbYlIblOyJemrqAwOPg8W3w3dO/2ORvYhWhZlY/tGdvfu3ut4cUEetRNLWK7yDyKSw5RsSXo78tOwux3euMfvSGQfoqEoDsf69vVDnmsMh1iuwqYiksOUbEl6m3o0hA+El3/jdySyD3tqbcWZt9UQDrJicztOCx1EJEcp2ZL0ZuaVgWh+ATa97Xc0MozakFdra3BhU4DpkSAdu3rZuKM71WGJiKQFJVuS/g6/EAL5XhkISUvVpdXkB/LjFzbtX5GooUQRyVFKtiT9hSJw0Jnw6h3Qs8vvaCSOvEAeU4JThkm2YhtSa5K8iOQoJVuSGY68GDpa4Z0H/I5EhhENReMWNp00oZiSgjz1bIlIzlKyJZlh+jyYENVQYhobrrCpmdEQ1obUIpK7lGxJZgjkwZxPwNIFsG2N39FIHNFQlG3d22jfPTSpaowEVUVeRHKWki3JHEd8CnCw6Ha/I5E4asuGX5HYGAnRvLWT7p7eVIclIuI7JVuSOSbWQ8PJ8Mpvoa/P72hkkP7yD/EmyU+PBHEOVrV2pDosERHfKdmSzHLkp2H7aljxhN+RyCD9hU3jrkgMq/yDiOQuJVuSWWaeDcUVqiifhiqKKijNL407jNjQX/5Bk+RFJAeNKdkys0oze8TMlsTuJw5zXp2ZPWxmb5nZm2ZWP5Z2JYcVFMNh58Pbf4GOLX5HIwOYGdGyaNyerVBRPtVlRVqRKCI5aaw9W98GFjjnZgALYo/juQ34sXNuFnA0sGmM7UouO/LT0LsLXr3T70hkkNpQbdxkC7wViSu0IlFEctBYk61zgVtjP98KfGjwCWY2G8h3zj0C4Jxrc85plqzsv0mHQGQmLFvgdyQySDTk9WzF23S6MRJiuarIi0gOGmuyVeOcWw8Qu6+Oc86BwDYzu9vMXjGzH5tZ3nAXNLPLzWyhmS1saWkZY3iStSYdqo2p01BtWS2dPZ20drUOea4xHGRbx262tGvLJRHJLSMmW2b2qJktjnM7N8E28oETgW8CRwGNwCXDneycu8k51+Sca4pEIgk2ITknMhN2NEPXDr8jkQH2tSJxujakFpEcNWKy5Zyb75w7JM7tXmCjmU0GiN3Hm4vVDLzinFvunOsB/hc4Mpm/hOSgyEzvfvO7/sYhe9lTayvOHokNYW9FoibJi0iuGesw4n3AxbGfLwbujXPOi8BEM+vvppoHvDnGdiXXVc/y7je95W8cspcpoSlA/J6t2oklFOQZyzRJXkRyzFiTreuA081sCXB67DFm1mRmvwRwzvXiDSEuMLPXAQP+Z4ztSq6bWA/5xdCieVvppLSglMriyrjJVn5egGlVQVaoZ0tEckz+WF7snGsFTotzfCHw2QGPHwEOG0tbInsJ5EF4hnq20lBtqDZuYVPwJslrRaKI5BpVkJfMFZmlnq00FA1FaW4bJtmKhFjV2k5Pr/a2FJHcoWRLMlf1TNixVisS00xtWS0b2jfQ09cz5LnGcJDdvY7mrZ0+RCYi4g8lW5K5IrFJ8i3v+BuH7CUaitLretnYsXHIc42xPRKXa5K8iOSQMc3ZEvFV5CDvvuUtmHqUv7HIHtGyWK2tnWv31N3q1xirtbVkYxvvOyAz6+jlBYy8gPkdhohkECVbkrn6VySqknxa6U+wmtuaOZqj93quMljIxNICrn3wba59MDM/t2BhHo998xRqJhT7HYqIZAglW5K5AnkQPtDr2ZK0MSk4iYAFhl2R+JMLjmDx2u0pjio5Nu3o4tZnV7F47XYlWyKSMCVbktmqZ8GKp/yOQgYoCBQwOTg5bq0tgJMPjHDygZk5hLilfRe3PruKFSpfISKjoAnyktkiM2HnOujc5nckMkA0FB022cpkE0sLKC8pULIlIqOiZEsyW/+2PdojMa1EQ9FhhxEzmZlRHw6yslXJlogkTsmWZLb+DalVST6tRENRWrta6ezJvnpajeEgKzd3+B2GiGQQJVuS2SqmQX6JKsmnmdqyWgDWta3zOZLkq68KsnZbJ127e/0ORUQyhJItyWyBAEQOVM9Wmukv/5CN87YaYoVZV7Wqd0tEEqNkSzKf9khMO/09W9k4b6uhyku2VqgKvogkSMmWZL7qmbBzvVYkppGq4iqK84qH3ZA6k9WHSwFYoXlbIpIgJVuS+bRHYtoxM6aEprB2Z/YNI5YVFxAOFbFS5R9EJEFKtiTzVcdWJKqSfFqpLavNyjlbAA3hUtXaEpGEKdmSzFdeBwWl2iMxzfQXNnXO+R1K0jWEg6xQrS0RSZCSLcl8gYD2SExD0VCUtt1tbO/OzH0Q96U+HKRlZzc7u3b7HYqIZAAlW5IdqmepZyvN1Ia8FYnZOJTYvyJR5R9EJBFKtiQ7RGZC2wbo3Op3JBITLfNqbWXjisT+WluatyUiiVCyJdmhWisS0002FzadVqlkS0QSp2RLsoP2SEw7ZYVllBeVZ2X5h5LCPKaUF6v8g4gkRMmWZIfyqVAQVCX5NBMNRbNyGBG8SfLLlWyJSAKUbEl20B6Jaam//EM2qg8HWanyDyKSACVbkj20R2LaqQ3Vsq5tHX2uz+9Qkq4xHGRbx262tu/yOxQRSXNKtiR7VM+Eto3QscXvSCSmtqyW3X272dSxye9Qkq6+f0Nq9W6JyAiUbEn22LNHonq30kX/isTmndk3b6u//IMmyYvISJRsSfbYs0eikq10kc3lH6ZOLCVgKv8gIiNTsiXZo3wqFIZUST6NTAlNwbCsTLYK8wPUTtSG1CIyMiVbkj3MIHKQ9khMI4V5hVSXVmdlsgWxDamVbInICJRsSXaJzFTPVpqJhqJZOWcLvGRr5eZ2nHN+hyIiaUzJlmSXyExo36QViWmktqw2awubNoSDtO/qpaWt2+9QRCSNKdmS7NK/R6KKm6aNaChKS0cLu3qzrx5VfThW/qFFQ4kiMjwlW5JdIlqRmG6ioSgOx7q2dX6HknQNsVpbqiQvIvuiZEuyS3ktFJYp2UojtWW1QHaWf4hOLKEgz7RHoojs05iTLTOrNLNHzGxJ7H7iMOf9u5m9YWZvmdlPzczG2rbIEP0rEjWMmDayubBpXsCoqyxVYVMR2adk9Gx9G1jgnJsBLIg93ouZHQ+cABwGHAIcBZychLZFhorMVM9WGqkuraYgUJCVPVsADeEQKzd3+B2GiKSxZCRb5wK3xn6+FfhQnHMcUAwUAkVAAbAxCW2LDFU9E9pboL3V70gECFiAKaEpWbwisZSVre309an8g4jEl4xkq8Y5tx4gdl89+ATn3LPA48D62O0h55zGeWR87NkjUV+xdBENRbO6Z6u7p4/1O7r8DkVE0lRCyZaZPWpmi+Pczk3w9QcAs4BaIArMM7OThjn3cjNbaGYLW1paEv09RN7Tv0ei5m2ljdpQbdYmW/XhUkDlH0RkePmJnOScmz/cc2a20cwmO+fWm9lkYFOc084DnnPOtcVe8yBwLPBknLZuAm4CaGpqUr+8jN6EKBRNgJZ3/I5EYqJlUbZ3b2fnrp2UFZb5HU5SNfTX2mpt530zwj5HIyLpKBnDiPcBF8d+vhi4N845q4GTzSzfzArwJser20HGx549EjVJPl30r0jMxt6tmrJiSgrytCJRRIaVjGTrOuB0M1sCnB57jJk1mdkvY+f8EVgGvA68CrzqnPtzEtoWiS8yU8OIaaQ2FKu1tTP7kq1AwJhWVaoNqUVkWAkNI+6Lc64VOC3O8YXAZ2M/9wKfH2tbIgmLzIRXfgPtmyGooR2/7am1laUrEhsjQd5ev9PvMEQkTamCvGQnTZJPK+VF5YQKQllZ2BSgvirI6i0d9PT2+R2KiKQhJVuSnfaUf9C8rXRgZlld/qE+HKSnz9G8tdPvUEQkDSnZkuw0YUpsRaKSrXSRzclW44AViSIigynZkuxkFpskr2QrXUTLoqxrW4dz2VfRpb4/2VKtLRGJQ8mWZK/qmaoin0ZqQ7V09XbR2pV92yhVBQspK85npXq2RCQOJVuSvSKzoKMV2rQTQTqoLfPKP2TjJHkzoyEcVPkHEYlLyZZkr8hB3r16t9JCtpd/qK9SsiUi8SnZkuxVHVuRqHlbaWFKaAqQnYVNwdu2Z+22Trp7ev0ORUTSjJItyV5lk6GoXD1baaIkv4Sq4qqsXZHYEA7iHKxu7fA7FBFJM0q2JHuZxSbJa0PqdFFbVpvVyRagoUQRGULJlmS3/j0Ss7DcQCaKhqJZOUEeBpR/ULIlIoMo2ZLsVj0LOrdAu1YkpoNoKMqGjg3s7tvtdyhJV15SQGWwUOUfRGQIJVuS3fpXJGqPxLRQW1ZLn+tjQ/sGv0MZFyr/ICLxKNmS7KY9EtNKf/mHbJ23pfIPIhKPki3JbmWToLhcPVtpIpsLmwI0RoJs3NFNe3eP36GISBrJ9zsAkXFl5vVuaUViWqgprSHP8nh01aN09nT6HU7SNffuoGBiM//98jomlRfHPSdcEub9095PXiAvxdGJiF+UbEn2q54Jb97rrUg08zuanJYfyOfgqoN5et3TPL3uab/DGRfFk+C2d/d9zp3Vd3L1CVdTN6EuNUGJiK+UbEn2i8yCzlugbROU1fgdTc679cxb6ejJzsKfHd29HHvtAr562gw+e2JD3HOeWPME171wHR+57yN8fe7XuXDmhQRMMzpEspmSLcl+1TO9+5a3lGylgfxAPhMKJ/gdxriYUAg1oQrWtjLs73jO9HM4ZtIxXPXsVVz3wnU8uupRfnDCD5haNjXF0YpIquifU5L9IrFkS3skSgo0hIMj1tqqCdbw89N+zg+O/wFvb3mbj9z3Ee56+y76XF+KohSRVFKyJdkvVAPFFdojUVIi0VpbZsZ5M87j7nPuZk5kDtc8fw2XP3I569rWpSBKEUklJVuS/cy8SvLq2ZIUaAgH2dK+i+2diVXJnxyazI2n38iVx13J6y2vc9695/HHd/+I0xZTIllDyZbkhshMr7Cp/oDJOKuv8vZIXDmK4qZmxscO/Bh3n3s3h4YP5apnr+ILj34hayvti+QaJVuSG6pnQdc2aNvodySS5RrGsCF1NBTlpvffxHeP+S6vbHqF8+49j3uW3KNeLpEMp2RLcsOeSfKatyXjq66qFLP9S7YAAhbggpkX8Kdz/sRBlQdx5TNX8uUFX2Zju/6hIJKplGxJbqjWHomSGkX5eUQrSsa8R+LUsqn8+gO/5ttHf5sXN7zIefedx5+X/Vm9XCIZSHW2JDcEI1AyUT1bkhKJlH9IRMACfHLWJ3lf9H187+nv8Z2/f4e73rmLI2uOZHblbGZVzWJq2VQVRRVJc0q2JDfs2SNRPVsy/hrCQe55ZS3OOSwJW0RNmzCNmz9wM7e/fTt/XvZnfvPmb+jp8za7DhWEmFk5k1lVs5hVOYvZVbOpn1CvvRdF0oiSLckd1TNh8Z+0R6KMu/qqIDu7emht30U4VJSUa+YF8rho9kVcNPsidvfuZum2pbzZ+iZvbXmLt1rf4vfv/J7u3m4ASvJLOHDigXuSr1lVs5hePp2CvIKkxCIio6NkS3JHZBZ0bYedG2DCZL+jkSzWEHmv/EOykq2BCvIKvJ6sqll7jvX09bBi+4o9ydebrW9y37L7uPOdO73XBAqYMXEGNaU1GPrHhqTWhKIJfO3IrxEuCfsdii+UbEnuGLhHopItGUcNsVpbyze301RfmZI28wP5zJg4gxkTZ3DO9HMA6HN9rN6xeq8EbG3b2pTEIzLQ8rXL6erp4scn/9jvUHyhZEtyRyTWC7DpbZg+z99YJKvVTiwhP2CjKmw6HgIWoL68nvryes5sONPXWCS3/eLVX/DzRT/nQwd8iBOiJ/gdTsppCYvkjmAYSiq1R6KMu/y8AHWVpUlZkSiSDS475DLqJ9Tzw+d/SFdPl9/hpJySLckd2iNRUqg+HGR5i5ItEYDCvEL+9dh/Zc3ONfzy9V/6HU7KKdmS3KI9EiVFGsJBVrV20Nen75oIwDGTj+HsxrP51eJfsXz7cr/DSakxJVtm9jEze8PM+sysaR/nnWFm75jZUjP79ljaFBmT6lnQvQN2rvc7Esly9eEgnbt72bgz94ZMRIbzjaZvUJJfwg+f+2FO7YYw1p6txcCHgSeHO8HM8oCfA2cCs4ELzWz2GNsV2T/aI1FSpHEMG1KLZKtwSZivH/l1XtjwAn9Z/he/w0mZMSVbzrm3nHPvjHDa0cBS59xy59wu4E7g3LG0K7LftEeipEi9ki2RuD564Ec5LHIY1y+8nu3d2/0OJyVSMWcrCqwZ8Lg5dkwk9YJhKA2rZ0vG3eQJxRTlB3wv/yCSbgIW4Mpjr2R793Z+8vJP/A4nJUZMtszsUTNbHOeWaO9UvFLFww7UmtnlZrbQzBa2tLQk2ITIKPRPkhcZR4GAUV8VZMXmDr9DEUk7B1UexKdmfYo/vvtHFm1a5Hc4427EZMs5N985d0ic270JttEMTB3wuBZYt4/2bnLONTnnmiKRSIJNiIxC9UxoeUcrEmXc1YdLWbG5ze8wRNLSl+Z8iZrSGn7w3A/Y3bfb73DGVSqGEV8EZphZg5kVAhcA96WgXZH4IjO9FYk7hs35RZKiIRxi9ZYOelX+QWSI0oJSrjjmCpZsXcLtb93udzjjaqylH84zs2bgOOB+M3sodnyKmT0A4JzrAb4CPAS8BfzeOffG2MIWGYM9k+Q1b0vGV0O4lN29jrVbO/0ORSQtzZs6j1NqT+Hni37O+rbsLckzpr0RnXP3APfEOb4OOGvA4weAB8bSlkjS9O+R+L9fhpIKf2PJVYd8FE76plfVP4vVxzakXtHaTl1Vqc/RiKQfM+OKY67gQ/d+iGtfuJafzvup3yGNC21ELbknWAUnfQs2v+t3JLmpfTM8fg20b4IzfgSB7N3IoiHiJVsrN7dz8oGagyoSz5TQFL54+Be54aUbeGz1Y8yrm+d3SEmnZEty07x/9TuC3OUcPPyv8OzPoLsNzvkvyMvO/xVFQkUEC/NUa0tkBJ+a/SnuW3Yf175wLcdOPpbSguzqCc7ef1KKSHoyg/dfA6d8B169Hf54KfTs8juqcWFmNESCSrZERlAQKODK465kQ/sGfvHqL/wOJ+mUKNhdlwAADQ5JREFUbIlI6pnBKf8CH/g/8NZ9cOeFsCs761F5tbaUbImM5IjqI/jIjI9w25u38e7W7JrmoWRLRPxz3Jfhg/8Xli6A330Uunb4HVHSNYSDNG/tYFdPn9+hiKS9f5z7j0wonMDVz15Nn8ue/2aUbImIv+ZeAh/5Jax5Hm47Bzq2+B1RUjWEg/Q5WLM1O3vuRJKpvKicbx71TRa1LOKeJUOKHWQsJVsi4r9DPwrn/xY2vgk3nwU7N/gdUdLs2ZC6RUOJIon4YOMHaapp4oaXbqC1s9XvcJJCyZaIpIeDzoRP/gG2rYabz/Tus0BjLNla2apkSyQRZsb3jv0eHT0d3PDSDX6HkxRKtkQkfTSeDJ++Fzpa4ddnwOalfkc0ZhWlhVSUFrBck+RFEtZY0cilB1/Kfcvu44X1L/gdzpgp2RKR9DL1KLj4L9DTDTefARte9zuiMWsIB1mpZEtkVC4/7HJqQ7Vc/dzV7OrN7PIwSrZEJP1MPgwu+yvkFcIt/wBrXvQ7ojFpqFKyJTJaxfnFfPfY77Jyx0pueeMWv8MZEyVbIpKewjPg0gehpBJuOxeW/83viPZbfTjIuu1ddO7q9TsUkYzyvuj7+ED9B7jx1Rt5vSVze7mVbIlI+po4zevhqqiD330M3vmr3xHtl4bYJPlVW9S7JTJaVxx9BZHSCF9e8GVW78jMhTNKtkQkvZVNgksfgJrZcNcnYfGf/I5o1BpU/kFkv1WVVHHj6TcC8PlHPs/mzs0+RzR65pzzO4ZhNTU1uYULF/odhoikg64dcPv5sPpZb4gR8zuihPU5x7KWdqpChVSWFvodjn8sANOOhyM+CVOO9LZtEknQ6y2v85mHP0NDeQM3f+DmtNys2sxecs41DTmuZEtEMsauDnj8h7C92e9IRu2RtzZSXVbM4bXlfofin92dsOJv0NMFkZkw5xNw2AVQVuN3ZJIhnmx+kq8+9lWOnXws/3Xaf1EQKPA7pL0o2RIR8dHHf/EsDscfvnC836H4q2s7LL4bFt0OzS+A5cEB873E66AzIb/I7wglzd295G7+7Zl/45zp53DNCddgadRDOlyyle9HMCIiuaYhHGTB25v8DsN/xeXQdKl327wEFv0OXr0T/vAQlEyEQz/mJV6T52iYUeL68IwPs7FjI/+96L+pKa3hq0d+1e+QRqRkS0QkBerDQTa3dbOzazdlxek19OGb8AyY/32Y9z1Y/ji88jv+//buPUaq8ozj+PfHLtdFuRRWEOQioOAV0VqtllKlFEyM1VarqZUarVBtC7bRNpJG26RGSdX+0WIr1QhBRaNSNVIUAxaJLQoqiG6tgCD35SqssCi7T/+YgxC6N3Y6c3aY3yeZzOw7Z/c8efLu7LPnvRyWTIM3HoLyU5NhxqugY3nakVoLM/6M8VTuqWTqu1Mp71DO1YOvTjukBrnYMjPLgwMrEldv3cPpxTxvqy6tkqHEgSNh745kmPExeHkSvHInDBqVKbwGfQtKi3iBgX1BEpO+Momte7dy96K76d6+Oxf3vTjtsOrlYsvMLA++2P5h26cuthrSvgt8+YbMo/LfsPTxzDDjB7OhbSdo79w1W6c+mbsz9Dgj89ztZCgp3DKgtFUpk4dP5saXb+T2BbczddRUhh03LO2w6uQJ8mZmeVD9eQ2Dfz2HW0eexISRg9IOp7DU7IeV8+CDFzP3zLQjF7WwfRVsWg7792baSttB+SmZwqvnmdDjzMx+dq3bpxvrEdpRvYPr/n4d26u3M33MdAZ0HpBaLF6NaGaWsgvumce5/bvywPeGph2KFavaGti2AjYuzTw2Lcs8V3+SeV8l0P3kg1e/ep4JPU7PLGxowdZXrefa2ddS2qqUGWNmcFxZOtuJeDWimVnK+nXrwCrfkNrS1CopprqfnFl8ABABOz8+WHhtXJbZD23ZzIPf17kPtD02nZiboBcwRTVc3+5Tbn5qFI9Wl3HMoRsfl7aFH81LLT4XW2ZmedK/WxnPvbOBT/Z8TqcOXpFoLYSUuQ9pl74w5NKD7VWVmcJr01LY/F6LH8IdAjxQu5ubP/+IiWW1PNi6P22U3JWwJN3fNw8jmpnlyZzlmxg/YwnHtC3luq/25YYLT6RrmVfXmf0/vbDyBe5YeAej+43m3uH30kr5uw10fcOIvhG1mVmejD6tB7N/9jW+dlI3pry6kgvvncfdsyuo3F2ddmhmR41LB1zKrWffypzVc7hv8X1phwN4GNHMLK9OOf5Ypnz/bD7cvJs/zl/BX19bxbTXV3PNuX0Y//UB9OjULu0QzQre9adeT+WeSqa/P53yDuWMPXVsqvF4GNHMLEUfbf2UP81fway311MiceU5vfnxiAH07tIh7dDMClpNbQ23LbiNuWvmMnn4ZMb0H5Pzc3rrBzOzFmzt9j1MeXUlTy9ZSwRcMawXN48YSL9kM1QzO3L7avYxbu44KrZV8NJ3XqJzu845PZ+LLTOzArBh517+8o+VPPHmWvbX1HLZ0F7c8o2BDCzvmHZoZgVp12e7WLFjRV52l3exZWZWQCp3VTP1tVXM+NfHVO+v4ZLTe/LTiwYyuEfL3evIrNi52DIzK0Dbqvbx8MKPmP7PNVTt289pvY6ldYkXkpsdiTYlrXhy3Pk5P493kDczK0Bf6tiW20cP5qbhJ/Lo66tZsmZH2iGZFZy2pen+g+Jiy8ysAHTu0IaJI09KOwwzawZfizYzMzPLoayKLUlXSnpPUq2k/xmjTI45QdJ8SRXJsROyOaeZmZlZIcn2ytZy4ApgQQPH7Ad+ERFDgPOAWySdkuV5zczMzApCVnO2IqICQFJDx2wENiavd0uqAHoB72dzbjMzM7NCkNc5W5L6AWcBixo45iZJiyUt3rJlS75CMzMzM8uJRq9sSXoF6FHHW5Mi4rmmnkhSR+AZYGJE7KrvuIh4CHgIMvtsNfXnm5mZmbVEjRZbETEy25NIak2m0HosIp7N9ueZmZmZFYqcDyMqM6HrYaAiIu7P9fnMzMzMWpJst364XNI64HzgRUkvJe3HS5qdHHYB8APgIknvJI9LsorazMzMrEBkuxpxFjCrjvYNwCXJ64VA/csVzczMzI5i3kHezMzMLIdcbJmZmZnlkIstMzMzsxxSRMvdykrSFmBNjk/TDdia43McrZy75nPusuP8NZ9z13zOXXaKIX99I6L74Y0tutjKB0mLI6LOm2hbw5y75nPusuP8NZ9z13zOXXaKOX8eRjQzMzPLIRdbZmZmZjnkYiu5D6M1i3PXfM5ddpy/5nPums+5y07R5q/o52yZmZmZ5ZKvbJmZmZnlUNEWW5JGS/pA0gpJv0o7nkIjabWkd5N7XS5OO56WTNIjkiolLT+kraukuZI+TJ67pBljS1VP7u6StN73Wm2YpBMkzZdUIek9SROSdve9Jmggf+5/jZDUTtIbkpYmuftN0t5f0qKk7z0pqU3aseZLUQ4jSioB/gN8E1gHvAlcExHvpxpYAZG0GjgnIo72PVOyJmk4UAVMj4jTkrbJwPaIuCcp9rtExC/TjLMlqid3dwFVEfH7NGNr6ST1BHpGxFuSjgGWAN8Gfoj7XqMayN9VuP81SJKAsoioktQaWAhMAH4OPBsRMyX9GVgaEQ+mGWu+FOuVrXOBFRGxKiI+A2YCl6Uckx2lImIBsP2w5suAacnraWQ+xO0w9eTOmiAiNkbEW8nr3UAF0Av3vSZpIH/WiMioSr5snTwCuAh4Omkvqr5XrMVWL2DtIV+vw79ERyqAlyUtkXRT2sEUoOMiYiNkPtSB8pTjKTQ/kbQsGWb0MFgjJPUDzgIW4b53xA7LH7j/NUpSiaR3gEpgLrAS2BkR+5NDiurvbrEWW6qjrfjGU7NzQUQMA8YAtyTDPWb58CAwABgKbATuSzeclk1SR+AZYGJE7Eo7nkJTR/7c/5ogImoiYijQm8xo0pC6DstvVOkp1mJrHXDCIV/3BjakFEtBiogNyXMlMIvML5M13eZkTsiBuSGVKcdTMCJic/JBXgtMxX2vXsl8mWeAxyLi2aTZfa+J6sqf+9+RiYidwKvAeUBnSaXJW0X1d7dYi603gUHJyog2wNXA8ynHVDAklSUTRpFUBowCljf8XXaY54GxyeuxwHMpxlJQDhQKictx36tTMkn5YaAiIu4/5C33vSaoL3/uf42T1F1S5+R1e2AkmTlv84HvJocVVd8rytWIAMly3T8AJcAjEfG7lEMqGJJOJHM1C6AUeNz5q5+kJ4ARZO54vxm4E/gb8BTQB/gYuDIiPBH8MPXkbgSZIZwAVgPjDsxBsoMkXQi8BrwL1CbNd5CZd+S+14gG8ncN7n8NknQGmQnwJWQu6jwVEb9N/nbMBLoCbwPXRsS+9CLNn6IttszMzMzyoViHEc3MzMzywsWWmZmZWQ652DIzMzPLIRdbZmZmZjnkYsvMzMwsh1xsmZmZmeWQiy0zMzOzHHKxZWZmZpZD/wWJ7BWie35KHgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "plt.title('Comparison of acquisition functions',size=15)\n", "plt.plot(BO_EI.Y_best,label = 'EI')\n", "plt.plot(BO_LCB.Y_best,label = 'LCB')\n", "plt.plot(BO_MPI.Y_best,label = 'MPI')\n", "legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(d) Compare the models and the acquisition functions in the three cases (after the 30 iterations). What do you observe? " ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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YFmQrQlIh2oZ4U5AU4k2ItiE5CvGmEm9DckRJNg3xAxnRdkb8wDZyZBt54AhP+txN/PTn3snxTBu+IyS85uSncs2JF8G+DYhjdF+CxsV9HQuaNB1kJC2uJ1Mky/LXNIMsg6NbkKbo0S2etPkJfubIVZ3H1H0b+XHiuDqexhEat/dkJVMkM/l5FOcgR9Pq+E+69+P89Off5Rx3wmvOfDpXn3kJ5viN/Hc/Liazfvdsv5DuK373/aBJ/rubjeJ332eIJhnxxJAkGRuTlOMmKfuTbeLIcOJkiyQyVXs0ifK2aWL9gZRtUslRM+0ebGvMlknYNjFbJn//QDphK4vZTCdspglb2wlbaUy6lZAdjdHtiGgzItoS4k0hOprfG8lRSB6AZFOZ3GeINw2T+7aJ793iyz57HT9z+5Ucx3Zom+Zjoe3TyXKaPjn6+plORIpnViYJEsfIcftz0bhvA5IENiboRoLZSNAkwmxEEAkm8T9rkilRasAoUarIVoYYg2ylyOY2bG1BZmBrC91O82c+y9Dt/DUQWAR/Z976yTHrz9I+DWibngTcrKq3AojIFeTu6LZgvAT4yeL9e8jrZ5bz/0FVUyAVkQ+Tu6e/te1g6+6SeiXwvCLj15cBn1fVO4B3AE8XkVNF5FTg6cW8Xu6fbPCRs8/nvRde3L9ygcb966w7H3zIo7ju9PN4INnAkIvF6087jw8+dCreXLFoM0YsAlx7yiO58cRzOBLlxzsSbXDDiedw8OSLautVwtTZ3idY8/nNa7OFMsD7zr+Yjz70fO6fbJBh/eYX5b+5mOGDAHsR/Zrj0SfsR48fPHgfaLLwtukICTfueygHT7ywfaWBA5RqrWcLP5fMRNU0D5L576UucQVAHHNw33nclDyYIyR5W0HCjcmDObjvPOdkCxFYHjMdb00qOZiczU3RGZ3HlHTxjcTBjXOb17rvIRw8/uHz7djM9ixvD/hzG7LOQoiFgyc8ghv3PYQjaz+WvfYsvH1aFLpd/Ik7//li8s9RqoUYNMUAjD1o7bcQztMWBAK7mCEu5h8Gvr14/63ASSJyejH/mSJyvIicATyN+iBTgx1tlUXkT8hHu84QkUPAzwMTAFX9beDt5Fm+bgYeAP5jsexuEfkF4NpiV69U1a4AcCB3Q33JN3wn773wYky07lp5sZgo4ie++oX8h0M38sjP387HH/Qwrn7wozASVe6PLq5Y866T+RtqIxEvu/h5XPq5j3Ph/Xdwywlnce0pj8RIhGSmZlG096VxhKRaWRbry7XRAZWsKehNFPHD3/ZDPOWTN/Cow7dzw0Mfxnu/KP/NfesPwWRSWRnXlaNqalbGVmLBXHEW8u4H+Mzz/v325Z9ZNyKyH3gvuVtEArxNVX/eWeergP8OPA54jqq+zVqWAR8tPn5KVb95Aee00rbpLjme1zzoqRw87dGYZLkd9G0T1ayMPlxxaZzPmkmnx1gbmghsFx+KZ9lMNnj5qd/IE++7lQvNXdwSnc4/n/gIzIB7WVJTWRqHdhplkmCyjJft+1ouNbfzCHM3tyZncnDfeeiQ52cOTJzwsydexoGjn+JCcxe37s8HCEwy6d94BrZNTBwZtkxM0vObHzVJZWW0rYs+0jkHGCq3Wqc9NxLx8jOezYH7buEzn/+bUW2TomzrsTESuOr2aR40yyoro5c0gyT3t5fUoBvNdW2haFsXKxdUgmgMrDcztk9niMhB6/MbCst/yRAX85cAvykiLyDvZ30aSFX1nSJyKfB+4E7gA4DHJDNlRwWjql7es1yBH21Z9kbgjWOOd+dJJw92Q93NtFnPTBTx/oddwvsfdknVALvWOf/+/NbFNrFYNtwKXHPSI7nmpEc23Mds0RilWrmg2tjzo0wr19NqeQam5X/IRBHvvfAxXPVF+e+t6heXu4VNnVRuqQshFvTrT+AQ3DFmM0U5qgs8j5yjwNeo6n0iMgHeV/jSf9Ba51PAC8gbP5cjqvr4RZ7Qqtumu+MTcldIS7BoNEySiXH+IYxAnIu8KB7Xidq2hIDpEwWFVdHnVu/DxO0uLUYirtl/Addk50IcI+X3MEA8NzqKA9q08phXx+dwdXwOkiTIxsag7XwDV11oEtcso7qxwTVyAddwAbJvAya5WNQ49g6krZI+oegyr2W6pLxuTWLMZMI1xz2cQ58f1zYdS6y6fVo4hTWRNIXiucvFYlSIwdz1PiqebZOUfYVmY1NaJmuknf3eQGC3cFhVu7zz21zPK1T1duDbAETkRODbVfXzxbJXAa8qlv0x8PGukzm2zGxzsFuFxlC63FFLupbl+zCto3y+ZT7B6Z3ncUttc02pbWfaY0dXyVabqnXYNOOsDJu6Nx7fIvX7fcXHSTGps84nVPUjDHbK3IUkcR6rN1Q4aPO9triGlpSWw21PR983r4xfLHEtjbMm+6oGkOI4v+4oQiZJ/nkVxDGSLG+81BdfSRLnMVsU8VyTxFp/et0aSRE7uVyX8a0R4nDMuqMpY9CTKH8fT7+nwLFBn3UwSs1ULHZZFX3iMRDYu1wLPFJEHi4iG8BzyN3RK0TkDKlGYHkpxWCRiMSFayoi8jhy7613dh0stMp7mHnEkrTEFlbL3fiDoe5glgtZuR+No4aVcYxban15PgpiyBNDLALNJE+As6ZsqlaJb9o4qtu1xDfrRpHt65+Bi4DXq+rVIzbfX7htpMBrVPUv+zZYO8oswfO4o2YCUf0+NVlElOQNgTERkeWWaLum2mLRF+s4LybJE+FAaU3K0DhGSg+YJIGtramIiqJu0ZBpJTR8yIjkFpI4QnVRLsGxQHkacZwnvoH82oyZXqOVyMdFVyAcu7DjF7eLga9FiUd7HK1mTS8HEUaSez8Ey9KuIU0hrlv1xRhIQTfiok9AkUW1wFgD25ZwDEIxsO4so31S1VREXkQehxwDb1TV60TklcBBVb2S3HX91ZKnTH8vU8+DCfCPkvc9vgB8X5EAp5UgGPcIXa6lQ6xxvfvvcEUdGzvgikb7GK5rapu7amPbTPM074s2UJhmJ9xHmsVVptR1YFOzRqbURWBQNmeLE+r0xVfVDHi8iJwC/IWIPFZVPzZw3+ep6u0i8gjg3SLyUVW9ZZaT3DEiqVyzSuuSJnkmYJPknetZDcpGhTSLqiypNj6r4qIw8VQkTucJEbloFLLCXTPO45hKIbVClmFl1Diq2kiNYyQr/oNtUZqmuVgsrMqVla343V1cJ4Uh98K2iWpZcFMTseHZblvjWrbULoZ6S7iUmakb8ebW159noI0h0fyeCOw5NMuaz5wx5D70hsrpzehUKJr1HawNBHYaVX07ecyyPe/nrPdvA97m2W6TPFPqYIJgXCAaLz/75jz7LzOMuvGLXaU0es/HJxZ989wYRjtZhZMEpy35TWscI3vfZXgP0OeLD4Cqfk5EriJP7zxIMBY++qjqrcW2TwB2l2BEcutiS7mIioH6zmR1sWDTJh5r23uEpA7UchozTWzDVDjmViSdWpNisVwQiwc4tSyO5bwxbqoLGBxbOLGgxHl2giybXlfpgpwUbsjW714OFNRYoLbfNjGTHfLXNxFE1k9qYoiSwpJq3xOBvUmaQulJkJlaL7SKYyxoG0S2CcluAoHVEATjCFYhCMewfHFqpbl25oGnoe5quMtltjuqRzS2WRR9Lqpjk0+MZZmuqHZGwlWxrm6pInImsF2IxeOArwN+eeC2pwIPqOrRIjX0U4BfWd7ZLglhWvOP3NriDo6sgkHuqDOWcLBpPLdtAqH8PmZxE11L8RhPRWPsWhejxu/eMOi1/TwDvCBg6k66sUCx2Jf4ps0aqlFzmSYRZLmVcSwGZvV+CKwA3U5rcbs1qkyplltqktdj9OZOMJrnRbA9EsoyOC1hNIHATqLA9i5PwbA3smbsAmb05BnNMkXkzGKxY73WJDk9dR+XrbXa6sod6yh5+Y6xUw9nAe8RkY+QB3G/S1X/t4i8UkS+GUBELi3Sx38n8Dsicl2x7cXAwaLo7HvIYxiv9xxjvRGmBeLjqLLCaSSNTnXVlsxwi5aWwyHC0F6nkexmIFX5hHJzSwxpEhWWtXgqGBPn1WbRAjr2WDDndFFV5/qqQYBYptdpTZUQjqe/t/2av2851pL/vVdVf1EjwZT3fVx8ZxthLHsvU9VihMqrwNsX8LmjBhfVQGBHOKZaZWX9rITrguuO2pbsxstYl5DUNFxUy2O62SG9bqkMKAg+D5nACMvikLp2Y9k0E/a7AWDApknYP4daXkJJjLkpsp8+wTPf9sO/ljxltLvO+4EvXuoJrgKRyh21urfjumgY3H8v4m61CA1qw3ZNbROQRmU2sejZRGOB7fx5VhOhsSKxya8zpW59g6mwGorHoiip1dgn8bRzOknyTmuxf5kkeQzlgrDjGGvzk7jS+ZULcuGO6v7uNQucfWpLaPrGxDGOQWNFUuuE83J7uRtqLNO4xljywZHiGZBdPhIfmBFjkBR0I5p6IHniGRsZ14cm3YtjdERCrEBgUeT5H3Z3u3ZMCcaSsuO1l4Vjn8eRG7/Yup5HQNYaZ19dpJYGWWtJH6ai0U2CM8YtdVFIKoUblKALdEPdMgkbAwTeouosHlXDviKD8rIS3wQWj0reUTYbeUmNMuHNIrNk+mIXfUKxt/7iUFzrIu21GG0h5VvmpSdTqpckyUXjEpPraCxVnHgpfvIYxrxdVKZWxZpVufjdy31M95e/tnmpaLQUDVmxsJIaHSdZxTEWAwmzoCjbs9Z5Cawe+xk09dEtMQa1B3A8VkUxRamukCE1EFgJx7RL6iweN7stuUqV4MZJeDPz/jrEomRZZzr7xrK0KUJrwrTHLbW+71wES1a+B0mntRjFnUz5XtZ+4GBT1y/uMLB4KrFYuOjBNPFJKSDGajmTRflk11JcYmbUNrQWl1e3JjVcNkuGWBfL9sxq18aU1FgUvrqZtXlWfGqZ2GV63bl1sfzdS2FY+87K5JHVssUII1sM1kpozPtH58RU+s5Xo3pyn9p9MaQOaWD3k9quqc3n1mc57LQmpqGsSiCwLI5JC6NNcFFt4kt207/NsC+xXK/qPLW4p9pWxi7LomRKhKwsRtRlSMZJlyPZBsfFW3Md936dcIJlkRxSi3ERGFU2NYziLxyZxi5qIpWLHkxFgn2PL+t+741xbEl4o7GiRpDUnU+VMdUkZWywWssjJC4scFnasDQ2Yvx8IrJvEGzJArIUN/VyGo6VMTVVttSKSixGNYGkkTQGCtqPvdhncRlxixorbE/vZYnr3r+5661ATG5ZJ54p2ZiqsKnLbwMDyyP3NsoHe0lAoyhkQQ3sCfZC+xSG8Vis1XC3WSChv5xG2Qlqsy7OMqLv22bMH4NkuvTEN7uBzZ7MFyFr4C5BqMRiaWXKrU75YvtnXkQbsywro8Y0/lU0dgZ0ilqDldAqB4xKUZjE1bRMyoyNrZkbB+BawmrCL265xtLCWInF8rqlFr/oDhSo87outJVvcUWfe95q1RYt7xFT3hvR7u5YBUbQkS9BWtxN2+YHAoHlEQTjHiCa0c10TL3FGj1iUVLjnYbsL9+n3y21POdZr3fVbM1YfPpocEE95lChEoulddEkddEIzN1i1zKfOqKx8bljNFSsx9I3ZuGzgOaJeyxhEFnxmZaLZi0u0f28YOYRi220iUhNovpUiEXbDbkcKAB/0htbdPVZFxediGse6uc9dbEtY3RNUloZpRKNgWMIjytpFabiiMPycyN+MYjIQGCpHPMuqSVjXFOPBTdWN9nN4CxkHeu5yW0ky/wuZtY52Mlv2pLh7BTbacwkmf9GOGom7PNkRHUZmhjHTnyzaBTptWoGZkDAFAWrbdFQ4rPcdWKkM0NqtdoIS+PYbKkmAmLourVz0VS0NWVymCzzisSutqKkGsDa4UGl0j11+jv6Yhz9bsjlQEGFJ1PqulkZW4kVrCyplYtymSl1u3BTzYrBBFOEGMxwKAW2d7nL1zFNUX9RAE2o+S13WRQlNd74x0BgndgL7VPo+Vnsmj/hOemy0PWW0+iwLg4Rla61sdpH2i1MZ7aGrhlHR2YcXETCm+CWujvILW/TGLbSLbERx1aU2Min4c9FaTHsq8G4iPqLNqWlzLUk+TKCVmUmHHE4RCx2srchu78AACAASURBVIQ4xr7ELE33VHE+l5bHerIbmP7uvgyp7niNxAqRsqQxovkpLrtRIiTy3xsmBrOxXh0rEblMRG4SkZtF5Gc8y88Xkb8XkY+IyFUico6z/GQR+bSI/Obqznr3094fCNbEQGDVrOtfzDHDKo01XRlSxwqyWcTimPW73FLXgazHMrO1xCw8my2isysZTRCN641K4aJZZomMpu6oVTbJqN3Vs495hJ/JIpZRPqp0S4XC0ujGMhbCcW6x6MOtuThnDcbqt4vq8XeNhDZxPQtolRE3nopntwxJralxdZQzYBCNTMA1lO2B7VkkShSb9vMoy+lZ8Zilm7JGkO1rfoc7jYjEwOuBZwKXAJeLyCXOar8K/JGqPg54JfBqZ/kvAP+w7HPdUxj/IHL1eaQLahWzvIz2JBA4BgguqQ672d207by7ksN0ZUJtuKOOGe3zuYi0JLGoXFOLjKm262qXG2qVIZWpG1OEYspeyS74X9g0E/ZbPnvu5y7KTKmbGrFf6r+Bzy11EXUZM4T7Q4zl4pGplQWsTvQc8Xsmi1oTkrRl9y2ti13xi0PQGMiYWkNN7m5Ycz3McuuamgiKpxeoMoqOdSttDmLtXENeCh4p6sc14hpLoZxMs4e6catuoqOGlXFOTbVtYiZ9BXvnIcrr2gINERxvT12WJZtaGUHJ9slMCc0MsLkcN6EnATer6q0AInIF8C3A9dY6lwA/Wbx/D/CX5QIReSLwEOBvgQPLOMFdR5qiFCIuTSHeqC1uhK8ES2Ngl7PE9mllBAvjHmbWmov9NQ+nnYxGg51m7fEE6XxWyel2wxLflLUYF82s1prR7qhmKswWVYtxU7PaFFgThKkb6mRqcQErfjFqCgd7ex9q6vdrlxDsc1UdhIwo+VEld7Esbq6lcRbBvMj4xQH76rKGuZbHakqkkeSoFIo1d9Tid6/ts8cNeWyZn62OdqlrmUvkGZyoi16tZ3qtLatnBh7ZVC6bs4HbrM+Hink2Hwa+vXj/rcBJInK6iETArwE/tfSz3M1kJheOxolHbLMihgQ3gcDKCYJxRroGCtqWrapW4JBBY58L6tyun0NG9FtEoxvL6DsfSXVUbchqOzPsOxnCELE4a3bURWC7pR5dhh9hYCkouVC03fNsAdHwgJb53dnTLKpNLouIX3SpxTGSu6Xay6r3dm1WqxTFXKzA4lgKQXvyLQcqsViVz3CT3bj7jndnnH0uFO3am9bC0gJtuV5rLJjJSl1SzxCRg9b0Qme572TcP6KXAF8tIv8KfDXwaSAFfgR4u6reRgAAHVqz2XY9dSebNAsCMrD2KMK2xqOmdWO9xvHWhN3slrpoXHfUVuvimM5YmrW6p9r7rmdUNb1JJvoof9M1fA6BYVlQh2ZKXRaKtMZQBubAsszV4hctS4zx1jhc/KnM6o6qkb/drLJgRuRuqjTdUkkhv7jcNVWy6fNfa2daXFVba8EuINlN7jLff8+3lYJw51ciuRocmFoXoS6eqrjVlqZPo7k9U1eGxqBZcb7ldRkghjibuqTO2vU3CJs6U9t0WFW7XEUPAedan88BbrdXUNXbgW8DEJETgW9X1c+LyJcDXykiPwKcCGyIyH2q2kicE7Ao+ghuP8Cm6d3U7k4kcTxYqO5G3LjMvXytgZ0jWBiPMXyunLNYGweJxdI91bc8bQrPtk7fLFbFLiSbbUDAZLN3zXxJcIa6qPrcUUvRVsYTtpW6CFbG3YOdMbIUi9Vts4CSCmaG+MS5kuV4LKM1V1ur7p6NnRQGaHYYuyyNRfu2qvhFNxbRxsTinbAsi6VYLK2LbnbUGkJ1X9SsdpEuLdnNUNyajxKRZ26NtZGYpxwccV2t3URPa8S1wCNF5OEisgE8B7jSXkFEzijcTwFeCrwRQFW/V1XPU9ULyK2QfxTEYg9u3UVP6Mp0INt5zgd6Se2lxDe+a9lL1xdYH4KpIFBjIeKsSyDalsU2S2OR/AYWY1lso8wT09sBN5IH6A8oYbCoRBJHdcK+GS2Jm6rsl2kHdpl1GQOLQWXqjljrLEd2kfN6dsllMERMaib9Vi3LmgjTxDdlEhiT5FYlE9OwMpaDVWUtQ8hFY2vii77R9EWMtmc6+N/SFcAV1vyGWLSsixV9casOOy0aS6LYNAcaKrGrsF3/HkorY2SvPAO5y9fiuzSqmorIi4B3kKdSe6OqXicirwQOquqVwFOBV4uIAu8FfnThJ7LXyQyQQlL8hlb/ICS38dMlDPe6VXW3kXtA7O6EgUEwtnAsuKUOFoddFkBXHPaN7LeIxC7XkzaiTEsHNuYJG5Qsd4Xy9TU0k0FCcSxHsg2Oi7eqz0fNhH092VHncUcNonHNETCTsoB5Psu2LtbcEsu6drHWXrswWVQTFKUwjEQb88r1S4YYqe32ssqQWtIQj7lwLF+JZZoj1XJNlUxronE03vaqcFtzY56M6S2tUXZauwawamLRIxynbsdSGyBoJH3pKKMyhLGJb2Yljkyt5EYSG7bS7pPWmDwCMKPKpEs0zZO7jv+9qvp24O3OvJ+z3r8NeFvPPt4EvGkJp7e7MUXCmySpz4ui7vCVsq/RiGnscE2dJOj2EjLhrSlBNAYWSRCMc7COf2xt9GVM9XXKRqeyHuoGZv8JOH8IVYkN/CJSUq0inWw3sGmJDWYupyGpQJKngi8Two8pjJ5mMUnc/A62TMLGiDzxY0pr1Lazymu4VkZYjGg0uvtHydaSMobRSQhiWxft11lpE45DtsNIPo2hfFiZutxSxjNSuHS2tE0aS000dlkZgZW7o5bUktiUOGLRFoowtSaXXunerLgllRtq4YpaltSItTGYZQ8AjMHXRo3JkNpKpIXrsYLmVmbNQIr7PTLF7WFqt8quKIkUmB/dTqv6iBWuePSJxh0smbMu2NZF9zs8lkRxYHUEwdjBbhKEi2TwiL7daI9twPsS31huqfZ5DXFPjTIlmzej4prgE4+lpXHTJOyP0qoe4xBCTOMa48b7lZYX1+JIiwtjy+CGmiKmbCBVrOMM8YsaT0vZ2JZGUyQ2sd/X3FJpWhnz511mLg8ETK2Mq+xgOq6nJT6xOK0/WLcuAsPdUaPx38+WidlYZg1GCtfUjpOv7o/CyjitxDkbqjMnvQmsC5mB8j/etvq3Pb+ldbHDqtjGXrG+NQQ3dUvqXrnO3Y6qsLWuGRcHEnzUlsQuvy8alO6og2MJ0rQ5ta7bv++xsZWzJraZle1G3YN23GQ3dr3FNoZa9ezkN3aJjcB6o1K4IFpTKRZrFieZ39rYJQQXVUrD1gn2o2GLo/K1rY5hLfFNWaexMYhUPOSudXGeDtIM4tLOfJp/dtxPLbFokrpYbFgX8bijWglvfLQNCCwinnoothusN57SimO03a4rUeze/4FjC7uP0OY6bjPrsj1AaV30icVqHWtZSIKzdxGRy0TkJhG5WUQaCbVE5DwReY+I/KuIfEREnlXMn4jIH4rIR0XkBhF5ad+xdrRZHnChrxWRDxXTv4nI56xlmbXsSnfbQDt2VlRfhtQaQ9xPG3GMLeLQFY4tHTM3VnKe+pAr7C95GVuT0RaGR0e4ft7fsu6iRaMWgdtjp93IytunqD7ZYrF6X+C6Sre5TtsCsO191/J5DdI1C5tVNsR+rdYrsohqUheRXbUJB1G2M0M6oeU6cwjONqtiKRbz+XWxaJfV8Lmj2rh1DReF7YI6xh3VFaWuW6wvU2rpVlve37ZorKZAK3ui7zTUKuirvWh/rp7ZvS0Su5A4rk3V/A5BGVgts/Sd+hCRGHg98EzgEuByEbnEWe3lwFtV9QnkGZ5/q5j/ncA+Vf1i4InAD4nIBV3H27G7ybrQryevc3StiFypqteX66jqT1rr/xjwBGsXR1T18as630VRZgVcR6KakJzBLRWG/QmknkxoC0yG09wH6MZcu+gkzaKVJZmo3FEdt9T6OtNYxvxzM54x0M3K2yeh4XrYiGUr5jVKDsz40w61Ji7E6mjFLkpWd0uNmGZPdZkp6U023MpYi6FyE99k7W7zGkdNy6hbHqQlXtEWi9N1p6KptC6rI7YbgwSR/6ePouHfl5vVuUso+koDdVGW1rDjXjXWPFtuNnVfNkWGVIWZazBCmYVwiQ39mrAn+072s1e6pfoS4SyA3e6u6VoX28pqlNdVXu9uvNZAL08CblbVWwFE5ArgW4DrrXUUOLl4/yCmNWQVOEFEEuA4YAv4QtfBdnIcr7pQVd0Cygtt43LgT1ZyZhZ9bl/LcD1dZBjGiFwrvfSKyBniCDqPscBU2rIDg49Dai8OqcU4xGW1dx9r7J4qIucWLhM3iMh1IvLjnnV+yhoV/1gxSn5asaxztH1GVt4+6cRObkLVOlfWRY866LQ02R314v4fIv5mFYjVuZSHdSxm05IgdSEFubjqsjLm6/dlMe3I4uxpm8pOY1eCiL4EOm79xb7kNnbMovvZOL959Wodokp4U2LFL65DWY02sVqV1HDel1bG8tpr93+gjV3RdxpK7flzrYV9fYqx6+9lkqQmsEN9xmOCs4HbrM+Hink2rwC+T0QOkWd6/rFi/tuA+4E7gE8Bv6qqd3cdbCcF45ALBUBEzgceDrzbmr1fRA6KyAdF5NnLO83ls2ZFihs0yml4O2YjG+qe9btqq0mqRKn2u9M6LMOyu92TQn4MRy1h6BOJfS4Ktlvqpuem2lStpvLzWMxyXFJT4MWqejHwZcCPum4Vqvr/qOrji5HxlwL/oKp3D3TJmIWVtk8qTZe8Mg6uFIvT4ubqtzQOZGgMY80ddWx21IFoNBVTnet1uaXaSXH6rItLiG1y6y62JrdxxGGtUL0Vu+gK7XyfzkHj1QnF7ZGWRXDOyU7KU5WEsWIyHdEYXFJ72VV9p7lFii8fQl9ehGOE6ru1LbGWcBwS6xhYDQpsazxqAs4ontVyeqGzW98fo9uxuxx4k6qeAzwLeLOIROQDTxnwMPI24sUi8oiua9jJu2jIhZY8B3ibqtq9gPNU9fbiAt8tIh9V1VsaB8m/4BcCJA86dd5z3vOMcv/qSw6x7WTunLQIhx631JIoVQz1TKllLUaS5XRoZ2Uri9lwSmy4mQndWoxDGeKWmq9Xd02tL1sfi6Oq3kE+yoWq3isiN5B3gK5v2cQeMR/ikjELS2+f3LZJ46ZLXptlcV7c8hrlPN960w/jT6TMhGmivISCxrm1X4usmOUjUgnCzHW7FMqMqV3Mal20P7d2qjLtL/PgikbHslib5xGLrnXRTmxUf2+FDcwYxzi2zM8Q8nqMzfunlik1VsgEjRUxUlxL7p5aicY5zkHZ/VkIB7LyvtN+jp/3nPupai8Wrqh2xtQuBvZZ2lwyd6OrZq2tKsWhNU+3i+8wbbqi7sbrPYY5rKoHOpYfAs61Pp/D1OW05PuBywBU9QMish84A/ge4G9VdRv4rIj8E3AAuLXtYDs5jjfkQkueg+NSoaq3F6+3AldR99G313uDqh5Q1QPxCSfMdKKz/gftlv+u1s7YmIyoNtvbTbFYzu/arjwfz3H7OoxRyqD0+4vMnJotMJWfbVGcNfENNJPf+CyN60wRdP0E4OqW5ceTN37/q5g1eLR9JEtvnxptk0wFQiUUGhYZHd2utCWwMVlUm2rn1vK4aSa5e3cmSNYuILvO0b4lXcuh65Y6E/NaF2e0XORC0Cqp4XFDtcViY3vHumhqv/+0bfO5Ia+DO2pJGc9tn1MpbutuqRTzypWCS+pAVt53mrBv3nOu7ztrH8ypzc9MtyC0lzlJrfZiLcJaQps49orF2mfbRTVYGfci1wKPFJGHi8gG+fPuJrL6FPC1ACJyMbAfuLOY/zWScwK5d9eNXQfbyd7kkAtFRB4FnAp8wJp3qojsK96fATyFgRaFY/nPKLIE1dgyFRXVqP2MyssnJHv2NzgBD8PcTneitqabTGJI7KJNXxzjprW/NRWNfa4ViMiJ5ELwJ1S1Lfj6m4B/snztx4y2j2Hl7VMlEK2p6kC7yW/KOLA2TdViDRyS9bSxzpzuqHZdweoYThzfImrE14RiR2bUzo5kVddt9kaiK0axJpY91sV8e+fVk1W2wqnBOEvyrVlcTn1M2pLtRFORCNRjMmOtvofG/R9oY0f6TsukeiZ92U9hKhzdybfuDOzm2L5KCEbRdKIuGockygkslzIp15ipD1VNgRcB7wBuIM+Gep2IvFJEvrlY7cXAD4rIh8kHj16gqkoeynMi8DHyNuUPVPUjXcfbsSEHVU1FpLzQGHhjeaHAQVUtG8DLgSuKCyy5GPgdESlr/b7GzhA26Pjx4oTDIve1rgwWbW2C0F2ndE91M6G5bqmpgZFZUiWj14WszNI3Kz6XvhI38+CsbJoJ+6P699lwRy1ee/fV4Z46BoPMmoSn07VCRCbkYvEtqvrnHftxR8zHjLYPZuXtk7THJE5r9Pmti2NLLKihtW6fLRZnSX5TZkGFIvula9WMLTfUInNqtW0prNCBAz+elWqisccV1V43jptuqVkGZUcry9B4+N9lGbdYfa5lPG26otp1N+31fVY4oDVDqk08IlvqookkDxWQ8jeOcndU2y11egWFa6qZs02evW3aVex032np2BlT3f6BD/s5H+hFYGdK3RNEkfdzV0bY4Jq6N1DVt5Mns7Hn/Zz1/nrygSF3u/vIS2sMZkdt1H0XWnx+hWe79wNfPPfxRwi9RYrCdS6tAeMserXGeohYtNdti2kszyPL0CWOhEnW3knvoksszsJRk7CviCk6aibsi0Z8jxZ2LOP9OuEEccXmWlgaG4iIAL8P3KCqv96x3oOArwa+z5pdjbYDnyYXlN+ziPNaZfukgtOJdpZbYrGWZbKkTTQagUgb92yfpbESi6V1cd6kNxFVgFoZxwhlSQVPWY1YKHu0pPkO/ALRc92udXAHi3jb5TMa9Ra96zO1NrZ95eVvXVju2sS/j9REJIWQdGOqfSzC+ljGMUqcl9jQWJEW0RgYxk73nWbFGytciMLWEjdlH8MVjgtOerNbBJRMksodVSZJ/j35RHWaQhTlorH8zB4Uy4GVccw7NR8L1sF56MpWOoiy89aRzGbQKOJIokzJ5i347cFkQtRh0UmzmMRNduMkwLEF4hCO6oR9su21OAKtVkafaFxTngI8F/ioiHyomPcy4DwAVf3tYt63Au9U1fvLDdtG21d25gskF4Rt9QiLV1scjLy9hw50tFkWtSNmsRXLilgmvoG6JbL83EdugYwaA1qSZs24xT5XVHd9y5rYmN/VdkERc5nHL2osDesiNOMWu6yL5fLp+3r8XxuRzO6JvSiviCQ2bBWx3VFsmrGxkf//tuveH4oqbC+yJlVg5XTWRe0TiEPdzvcqjQRBSV0kkv9laJaF2ow7gNHd7wERWtddwCoskqNiGn3xPT7ror2eTzi6VkbLHVVSg450RXUZ4nY6rxvUvNiZUm1B2OVq2uWO6mZMXbRoVJXRiXj696nvY4D8UdU3AW/yzG+Mtu86OlxSS2zX1GreSHfUPtHozYpqWRfn9mq2BKTGdcuiSVqsjUPJstbYw06x6Ky3qOQQtnWxmtcSt1hlRrWEox276v72s2ZIHYPPuujGYvuIIgPZVDRmJprGWhZuqQo1K+NOt8OB1aNZ1h9L54rGrvUWwK4TUKV1sRSL5cB7mhbzCtFofT/BNTUwK+vpo7Zihv5RdWb+a1k2eN+74ZdwO2NdI35zJI1YNYPdknssLL608ltOp8v93MfQESk7s+qm06lzk+AE1pMqAUjkSY7iisUxxj7HndTNjurNlNrlgjrS0jg0Y+p0XlNojaIrW6LTMdI0RauMjN3xjz7cGow+ulxRa5lRy/WdUipu/KLNGNf4vrany/10bLtlY7vMSnGPT2c073v3/g/sXgYnV7Get4Z10Jj61DbPt/0ertXYGNjy1WKMC0FZuKaGrKk7hyKz1GFcK0KzXLBuv02bZ826naeXLrE4REi2rCOZIUoVyQyS6iCr6FAx2FkiIJOlFC63M6XW3zcFXmnVKwVkKRA3W8SgTzQG4bjGVFlRtV56oJY9s0UsWuvXsO/ZMfevZzt3sGRsSQ1bb7jaI7euefbXIsYGeR4MFItDcGs8es+1PGwyFYg+jdXmiupaF6Eeq1qzKi/gX7u0FLpCcNvE1TQPbrbWhrC17vPGfW8vG4EibOpk9BRYExzR2OpW2mFN7HJFHWpF2xUZREvh54hCN1Nqm2gMWVMDsxCGGAJ+rDih3iQ4Y5LdQD0TaumW2hPH2OaiKqm2dizHkotLgaRIMJJJ7vM/oPOSZlGjk+TGLo4tmD00A+qY9ecVjcdKJsLVo1UyEOi455ySBN49ZeJ3WSwS4LTiikpHLDbcUefwirQT31TzfBa4WIhnLQFk0yMWNU2RRlINJ64x085/TJ+QtK2LlVjsQ5wYRvt7sX9X67fsszS6bdEqKDOlTmcU7rTk4k6YuqYWM7tLxQT2HA23VKcfUGX47LGGeYViz4BQV/KXXeGmaYvCKGrGWqeMctXdFdcc2FGCYLRYZQKcdc+UOjPLcEXtKa3Rl+AmyiAbeadP42uWQ1viG28pjZ5kN7ZQrL0vrAj7R4jUwA4hVLFd0G3BgxGxi65IHGppbFtvhKWxgZUpFUoh1IxjdHWNJoJs9VxvGb/oc22b0bLYhyZ2vcVx30ObddG1zvqS3+T76P/9MxMxiTIyE+1YiQ1f4psaLff8MtvewHrRJxphZ5LY7AoBVcUu5t+fPagukIvGJCnfQJq2JsCBXXLNu5TSA2I3EwTjSEJW1YJ5O11uvcWW+csurbEIttOYSTL7TWEnvumiL1tqG24inMB6ktfWK9zyinmuIBtcTsOmz7Lormsfr826aDEmEY6dKbU6hqce46jEN24Hxx5V77MsemovKiD7+osmd2HiGa2LTJPd1H7rDj3aZV0ckv20r7yG67aaemK1u4higyEiIn8Fy8pocGozFswgGA3idecPLAAZb/Ztc3MclFhq3szpCxoUWkcB1fheC0ujJpYrqsk9shqi0fla1vH6AutLiGF0mCdGcN7EN7sC14Jou6PuYKIb8dVjs5evWC+5MUBb2bib4KjpjlEs8cUy+rbZNEkjrnEWQpzQ8qglBHHiubxxXWM61aYnDtezvCEWy88eq6Jk0/m9A2pe19P6Z9diN8qCR9MiUUtu46xTvc7YyWzGHXapux7romdT93efN0NqKfiGZDxdNrX73ZrWLemNiFwmIjeJyM0i8jOe5eeJyHtE5F9F5CMi8izP8vtE5CWrO+vFssw4N69oSdPpNJSW9ecRResY31clsEkSSOKaWKzeR1H+Pokb7qtdCXDW8XoD68GaNcvHNrP+SQ7J1LdTlB21zs5YSwxkb+ykw04Y0bKRo+1QH7FvS3zjUsYNuslvauv0iMZ8u6Q2BdYEASKtRKNGNDrRFe5nD60ZfUth6E7Otr2WxbYQyzk8H12hNXfN+KKT6Gt7GoLSl5nR2scQFvk45QMEzf8E97Ms6B+8LQuqPX+hArO416Ge3GkdM6SKSAy8HngmcAlwuYhc4qz2cuCtqvoE4DnAbznLXwv8zbLPddksSkz4XEw7RZ0tHrumJbH2IqoQh6VLavU+ms6rJcCxcBPg2PMCi2MvZEkNPUYPfW6nO+GW6ot5dM/Dd14mGS6kJFtsnIumKZEaDqSHuCi7i1s2HszBybmYRfVy1pQ0i0lqyW66Xb5cRructsUwjkyaE9hhrKQgkP/BgCXCOkSitzxFW/Kbtn248Yl2c+CxLo6KX3QwcTNWcRbcDKZDKDurkRou1Tu4SO/hZjmVg3runKXjneO47qgDrIs+kVixgLi+rrZontIZQC1OsoiYIs0iKFxma26phZt0da9n07Ijs1pQyw7ZEngScLOq3gogIlcA3wJcXzs8nFy8fxBwe7lARJ4N3Arcv4yTWzWlmOgSeLMKjnKfixQsbec5Ni5yyHWvHEsoqq9eZVJ4VyXx1DU126qsjAp7uvRIYLEEwbhgxojJvsQ3Wj7s68AMHbNIDa+67295VHYn+0nZ3Ey4afIQXn7ys3LR6MYxzhu30EMeL7O4/fUVQfdhZ0q1E9/44hiPmgn7omlSm1JIjollLC2NQTiuOaJVrBcAJhd7dkca/Ba8LotMQwQW++w9nS6xqC3rjWRQptRY8uykQygKVOt22mpdtMXiL2VX8Wi9K2+bSLjp6Bn8bPIMzJhGIi6z2k6/U9Ml+kZSZg31JYEZ2/bYpCYiiczozM0l84pLIp3G1hrPwMbQmNvVcDZwm/X5EPBkZ51XAO8UkR8DTgC+DkBETgB+Gvh6YNe6o/rwCagxQq8rlnHWfbbtY5HsZNxf7fsqE95YQrGW9CY1aBQhWPGMW6bYLoGtor+RJCEBzgowuvtjrPe2qWcOFj1QuQ7W5aW6rrq1ytKUA+khHpXdyfGkRMDxpDx6+zMc2L7Nv4+O/Q2lL5Zx2Ww7LqrjYxdnE8y9MYwLiiUsG72xU2AYUWzyznIxSay1zvS8Bc67xKKY6VQxhxVx0Pn44hlba9DO/nfl1nW7VO/g0XpXvW0yhzmQfnrmY7Qx1rrY5o5aYwZBNbYtqm27IHdUiSyhW16Ddb/XppGo5iV/xk7AGSJy0Jpe6J6273DO58uBN6nqOcCzgDeLSAT8N+C1qnrf6AtaI7py3kgcV9NYhlj5NMsa05B1l8mOu2xWMYmFaC9dTyOpJts9tVo/slxSy1jGDnb8OgNrRbAwzshOZkvtO/aiSnbInI3uRVk+em+zj5RHpHdxzcb5c+17p5nJumjVQrNdw3wlNiprYmFldPFZGYe4o4YENOuJSN6ZVjPNKumzwAyxDo46btst3OZ6qs1565o1urQu+jqlF+k9LW3TnVzDBbMf0xqUK91RF86CrW99VkZbLI7NkGpjl9io3peWxtqKKx/0O6yqBzqWHwLOtT6fg+VyWvD9wGUAqvoBEdkPnEFuTNbEQAAAIABJREFUifwOEfkV4BTAiMimqv7mws5+RXTVLZyHobUWa9vM2TdZxHXsuAWuEH7TeEXBWKV+orQQi6V/uBlvZQwEbIKFsYOdsAruZMD/PCP4Pm6OT2fTGZM4SsKtyekLPc4Y1rn25ZGsPZX/ZleyG+O3LoYMpbsIyTvRZXhvZWmEmsXFtTiOOoRpTg0yGSwW7e3niWfszCo6lJEeCTfLqf62KTpt0PZ9WVsXck02RTKkWX97OzlX6U6a1uYtd+zYHlyr3ePQsCxGsZnL3XYJXAs8UkQeLiIb5EltrnTW+RTwtQAicjGwH7hTVb9SVS9Q1QuA/w780m4UiyVjRN1YXC+AZR5nN1JZ+6ywHdsF1RaL1WfL0lizMpYEK+PKUAhJbwJNFhnHuM5Eajiw+QkuTA9zS3RaldCmHNk/mJzDTfGZXJJ9lg0yMoQ7opP4l+TsHT7z+TCZEHk6bmkWkVgdnSE10HzWRd8877aFldHFtS4uMvmNIl7RGpgPQatOsiGqWxqhZm0EBlsce2MMW7ZvCECPZTH/POJYI7BrMZpYiNPxQilSw6Xmdi7MDnOznMq1claVcOsa82Bu5DQu5i72k2GAz7GPf+XB48+1EI92ps/6iczmjtoVvziGIe0Q9ItG17o41MU1EsVo/h3ZVkb3s09UjmFZSW9UNRWRFwHvII+Cf6OqXicirwQOquqVwIuB3xWRnyR/Wl6gqmsViDkf1iDSki1Q7r4XKVJ3q1jsQqPCFRWmrwVl0kONoqmVMc166zK6v/GOW1MDa8ExJxg1Gtex6RJ/Y91SZ3FjtRPfrFpcahy3uqVGavjFO/+SRx/9d/axzVESbiwS2tS2MIakmBOjnG/u4ZWffzsvP+Ubl5YtNcpgjnCdpWC7oPpcwIa4pbrJb3zrVp89ojGw3kSitYySlWi0XfccF762JDadbdxQkQj1BDe25XHBBiCNgAW2bZEaXnX073mUOVwltblRTudl8VMxEmEk4r/qV/Bn/H/5+sBDuZ+3HP0Lvmfy3WSTpEjCNV9DMndpkDnJTFTLXlq6xZftUZn8ZgxjEt4ksckzpTqU7tfQTN5Ti3NcE1T17cDbnXk/Z72/HnhKzz5esZSTWxG2aFil22LbcYYKyWWe544JqaKeYt1aKBjL4hhZZck0iZAtU8QwxlOhmOTtnC9janBNDbgcky6p61bnaVl0uUW57gtjObD5CR599N85jm0i4DhPQptLt2/jMfoZynrUQj48e0n22WGJb5bEPDFXbRad7bTeiUoHKFZfx6vLLdXGrctoz6s+B5G4q0hiQyRTlzyv6579OhbH3RRyEVhONZResVg+R+sYz3gg/TSPModrSW0u1ru4VO9As4xIDS/mao4jq9omAU5ii+dsfWTQMXxJxOxH2mfsarMuLgM3AVcbQ+ISZ4ldjBwhWt7H5atEU0ti+X4dxWKAKuuN7Z64TPfUIZQurH3TUs9hDaxumkTe/pyx4xojqcpu1OoyemhzQQ2uqfNRemeNTMi1Vhwj0qnJskXjqtyPy+P0ZUBddEzNhVt3so+6latMaAP5CP8PP/ABfLf8Blm1njf2aMYMqeuK7bo11I2rzJZaCcPi1ScCVykaDcJRk4yeAt24WQjHiEY3rq1h/esQijUUr1DsEoveY+6EI55jCbzI+BNuXaj3EKnh1XoVT8OfEfUx2WdHH969xb1uqR2PvtcddcGUcYxlG2QPWHUJwq5ldmxk1rFeJPXraXM/dUXlGELbtBrWSTQGppgkymu/FlM5r6RKjgPT9jKeZk2VSbLUsmaB3c8xKxhhuGjsEn9jhaFvfbcjMeS82o67KqF6y8aZHHXkoJ3Q5kB6iDN5wJuPPEN2NPHNzLjZ/Aq6OkpDKDstYzsvtjjsE43B2rjeCEoUmcrKWDK3pbFPKHaIRFco+sRiW7KbpVsaewbAbo78CbdukVO5lH/nsdxVWRVdrotb4hhnHHSbuXko4xdnEI+uG+j2ADfS1ETeyaYUmbOW6LCFoPveFouuwAzsMCLtFqkgGncMO+lNY1nZXjnZU9uS39iUgwLubxusjMc2x7RghGPHPbWPsS6qB/dfwI37HsoRJhjgSBHDeHCSZx+/KLuLyGNqUOABkmq9vUibK5g9ot+VYKJ0Sx1jZXTxZlMthKM9BdYDkcIl1RKNdge6IRpnOYZPKFrL2kRiPRtqc39tVsdlxFu7nhLaEmN4MDmbm6IzOEJStU83yOlcK2dxEfeQtLRNKcIVG4/LZwwYba+7oErzHH11JmdwRx3zP2Wc9sdnBfRZGfsYs24XbULRXRZYQ0prlCMcjkXRuFPuqNV3bbd9VrIbuz5vvS0a7pYaWDx5Devd7f2wfme0AwxJhDNL8ptF1Wq0E98sAk0EmSHroI2RiJef+WwO3HcLj0gPc6uVJRUMN8ent3qmfTI6bWkJb4Yi2ThrrGYyU0r7vgyFdjKcMfgS4LhZU33JcebFqAyOswyMY1LEfJVls9IsAiuLpJ0oxE2C401+4yuP4dzCjaynLe1gwwXVU1rDt392qP9vJOJl+76WS83tPGL7MLdYWVJv5tTWtulGOYN0ss9reRx9Dq7nSBG/6GK7o3YxpP1xMzUPYUgbVBvscqyLfdbLMvFNX7bU6r3o6GsAUB3vpREYTl/mzFmSpMwjunbS2rXjsYt2CbSWEj9lv9YkUZEAp8isXSbASeJ6TcaQ/GZXIiKXAa8jTxHye6r6Gmf5a4GnFR+PBx6sqqeIyNOA11qrPhp4jqr+ZduxQutaMDZ76lzHGiAk285naKZUe70ytfJcJHEjttBIxDX7L8gLXTvLDibncD8JJ5E2Ol+1U/FZCObMTLhoJJPWmCKTRbXOzpAOW5mp0KbMklq+Hsk2OC7eqj67GVNt+kQjsHDhGFg07WKgKrfhFj0fiE8s9mU8bWuf2rarWx6H7au2ziLa3sQqRE3ePl0dn8MHzUNrqx2Mz+b+NOakIuGNzbYuuH5ieS4jLImd8YsdbshGpeHKuW2iaiCiHLwqM6fa7VApCH3Csc2yOK8rvs+aOKtYDKyQIrPmPCxCcPn2sUgRueOicAnUsqViGq6oNm0ZYEOJjdlQhHTBabNFJAZeD3w9cAi4VkSuLLI258dV/Ulr/R8DnlDMfw/w+GL+acDNwDu7jhccMi363H6WGR+4k+nXNfZceIdv/BCMRPz1xiXeZddNzppr37uFtCfZzbzFsjdb4haPelxNd0sWrmMVEYgjw6R0Se2JZ8xnNMVDJbxKC2CHWPS5m5ZTbZ8t7qr2du4xXFZWDqjsAMUxYidzsDAS8Vdc5N38+uQhnbv3tZW229fUFcw+p55z9jFSt/oGEOw4xjZx57ZLWyZuTF3rj6UtNjESrd/rI0t9BJaMSL3I+xyuqcsUG5pljWmWbXarIOrqw5ZhR+qKxOCWupt5EnCzqt6qqlvAFcC3dKx/OfAnnvnfAfyNqj7QdbAgGBfETiahGXOMvmyqiyJSw6O3PwPU82rcywZX7PuSlZzDQugojD7GylPiG60v57W5U7XFMkK3aPQJx3VERM4VkfeIyA0icp2I/Lhnne8VkY8U0/tF5EusZZ8QkY+KyIdE5OBqz34xCMokylpFo2uNmTXWy+dK6opEWyAOjmnU+mevQDTg6gAxINmcCU4GdFrteZEaLuZuwG2bJvxJ8tj5zsXBp9Ps+MUui+I8mVLtOMbt2vv8u7IF5FARaK/XJkCHlPJoZEy1Ppf3/SwowrbGo6fAOHZbIpQ2QbibhWENY2XM9jw6bRnyawlz3IEwR0QeizGqu4SzAbtG3aFiXgMROR94OPBuz+Ln4BeSNcJd4NDnmrqwuMSR+/HFMbr7MLEQOZ0vjWX+DtkMHEgP8Si9qzZQvo3w68d9JdnG/pWfj4+xcYx9bKcxk6T5o/bFMbq4bqn+daauqWU8IzTjFkvRaLupzoMWqesXTAq8WFX/RUROAv5ZRN5lu1UA/wf4alW9R0SeCbwBeLK1/GmqenjRJ7ZuRLHBEE1jGTtwrYtdSWp82U672sFa29XWvLRtb3JBOW87qnGMZN2ucZIkaOE+V8biXKp38GjuabZNk/8wqG3yWhmHjB11lNYoxWODAaJxqFt86YrquqbCVAy6rvL2Mh8+AeqjjGMs8Vka7XMObqlrhjB1RTXFb9PimtoV87YnBNo6kJnZyo8V8Y6NOEaofk/79wtuqYtjxr7TGc4g+BtU9Q3WZ99oQNufxnOAt6lq7YcTkbOALwbe0XcyO2phFJHLROQmEblZRH7Gs/wFInJnYTn4kIj8gLXs+SLy8WJ6/iLPa9bMqfNaGYeW1+hzXx2VzMWTHbUrVfMQJEm4KGvWQYtRHq73zLXvVdJWMmAIfSPt0yyFwxoQ18qYz/NbEH2uputscVTVO1T1X4r39wI34IySqer7Vaub54PAOcs+r1W2T1OX1OFWxoqu8ho9YtG2ItoWRFcs2u6qbWLRZ11cenmNEp+Vo8XycZHe422bLuBzg/fRRdVuW03A4Gyoc9ZfNE4MZinS2tojV+htZXFj6ttmEZQCsbzfZ0ERtkwyetqN7HTfabdZGfcqkhbPiuluN8ycfbrAjnFYVQ9Y0xuc5YcAu+TAOcDtLftqsyJ+F/AXqtprVdix1nJIsGbBn6rqi5xtTwN+HjhA3mX552LblaiRRVkZV82s1kZNomnD5El+4+PmOK+DdrzVMTtKwi3x7qi/KKYnHiATIqtzZ4/Wt+FLdlMtKzIVtiW/sfFlP7WtjG3rgD++cUX0jZQBICIXkAdlX92xr+8H/sb6rMA7RUSB3/Htdyyrbp8EZSPO2GJYzbyKMluqjaf2ItTF4pDkNa14mpCGWLT2OUv84kxeEWWyLHeU3LEy3mxO9bZNt0anDT6Ub6BtJ1ADbQmnjYka7p2ulbGcB/S2X65QHGpd7MMWiyWTEMPYyo70nfIRLcpsmn1WxsDy0O0U2WjPVO72XXrb0o7EN4G151rgkSLycODT5KLwe9yVRORRwKnABzz7uBx46ZCD7eSdMjZY0+YZwLtU9e6ioXsXcNkiT24V9Rl3OnzCV3vRmwBnCE5m04PJOdwUn1mrg3ZjfCYHk4GGoR3MlCrpfJ1B2/Uq9Sa7GXdtbl1Gm7Z4RmApiW3K1PUz1BPqGylDRE4E/hfwE6r6Bd/xi1TQ3w/8tDX7Kar6pcAzgR8Vka9awKXuWPvUZ2Usk990xTG2lcuwxaJtSfRaDtum2nHa4xZr+/PEL85KrY3qi8kuC1BbMTkHN87lRjm9WaMxethc59X2WI9OaDZj82Nq7U7zfWllLAWeOzCRmcgr/nzzfYMafV4VruUwiU1DLCaxCWKxn7XoO42NawsujEvAGCQ1RKkSpaYSh66XSJROP1QeZH1CMSTDWSiqsK3RqKl/n5oCLyJ3J70BeKuqXicirxSRb7ZWvRy4QlVr/+DFAP25wD8MuYadvCN8wZpP9qz37UUH8N+An1TV21q29QZ61hj5R9wVzzi29uJQq6RbNsM+h644Rt/+F15aw6ZnZFEnG/zsiZdxID3Ehdld3BKfzsHkHHTSUcNvQQ3UmA6aZKsZHPBRWhy3TMJGlLZaGX3USmk48YxAw9oI611aQ0Qm5GLxLar65y3rPA74PeCZqnpXOV9Vby9ePysif0HeoXrvnKe00vZJmJY0KO3Jc7v+ecRd9d4Tx9gW+TCk3Yocceid7yzzHsuMb6c0iRFfnI1bN66wNBqJeFn8VC7VO7hQ76lqNKpE07+IIaPuHWK1sw0akPCmfcdSuSDbsYu191Z5jdLKWMY1lmU2bEsjUIux7rvvbLHoWzftSAZWxjL63E7teX3WTh+qI63zu5fV950g/3/OitYpihpWxhDXtkIsK68YgxL3uqV2Yv+2LYR6jOuJqr4deLsz7+ecz69o2fYTDH3+2VkL45Bgzb8CLlDVxwF/B/zhiG3zFUVeKCIHReRgdv/9+R/1Gv2nzHou7aPZw1Sxz6XKb3HsOcFJuwXLSMQ1k/P4k/1P4JrJeRjXd2rN6i3CsM6xWyB9SLbUsiMza1p6n5WxK57RtTaW669jWQ0REeD3gRtU9ddb1jkP+HPguar6b9b8E4pEOYjICcDTgY8t4rQ88xbaPtlt09bnj5A4nWTbyjgrkkmRibT+OX9vnZk24xR9JTZcoswvFl3roruNZFQZUqVKgjNHh8dup5KkLvisZaWlUTc2uDo6mz+OH8vV0dnNtmlROLv1tfeL/D/yWRnNgPjFbRP3ii13nfr2w78/934OrqijWXnfaSs7ks+Mo2B5WiPcGMbSymhPg7E8N0JW1MUzS4z1urGTgrE3WFNV71LVo8XH3wWeOHRbax9vKN3g4hNOmM4fUUi5ddnIJDezJr9ZNDOX1hgp8MRNzdz2R9MiOudNvjOUskM9T5Kbku10+h11daK2HAFZNg5uiQ2/G+pw0egTjvNgEG+ttr6ph6cAzwW+xkrS8CwR+WER+eFinZ8DTgd+yymf8RDgfSLyYeAa4K9V9W8XcKlLb5/stmnfKXl2zo0oYyPOGhaWQclvemiIRUcowlQADp0qDA2xaC9ftA7wtg1x3Gijqo6PZ+DL7hR1dZB0RLvXlsIeutt1939mjOXRlzHXTX4D/gQ4PlfTtsmmTSza1sU2oWpju6KWlMmfAq2svO+0kRzvtbq3PTdBcCyR0rOrjMtOp26pGK25nwKNz5J2NMbuYBshoVFgyk4+1b3BmiJylqreUXz8ZnIfXcj9dX9JRE4tPj+dgUGbNrsleU2fW6p3G+vahiS70ThCMqchSSLoalxcPAlxSjewVrG4YLo6bAvBcgkbSprFJC3JbobgS4Bju6u2uaeW+NxU1wlVfR89DuOq+gPAD3jm3woso7DnStunCGUjSoGkEth2p9l184tiM7PLaiUW8Ys7oNd1tHPf9v7s/ZjZEuC4pYKGb5i7zVWuVHEMWeYttTErGg1sbxY99uVph0q3VNs9tXT/bHNNheFJb0pmtSz2Ma91sRzMOgZYfd+pvM2ThLwKkpP8JrBajJmW1kii3C3VRJQ/lCsS53JXDQQKdkwwqmoqImWwZgy8sQzWBA6q6pXAfy4CN1PgbuAFxbZ3i8gvkDecAK9U1btnOo8BonHZsYyrFK4+8aiJIOmIBmVgptQSr1hsG7V35ve6xO4wbg20El+cztB6jG4so81Q0Qi0CsdAP6tun0Ry62Iez5rfI0eszngSG7aczrlEgOd2kkwKy6HUrOeVa6olFttiD8dit1/uLe7qgNIddW5iQfHUYrSypdZirexzcERjOc/+vGpmKalRtj++bKllLGOXaAQawhHq4rFtYMIVi4uyLga62bG+k12zr7GsJ6dBiG1sxbXgdX1Xup3W1y+S3hAZJDJEkVA5IJWDWZW7qgbhuIMokO7yAa0d9RvoC9ZU1ZfSMvqlqm8E3riQ85hTNC4DN/lN1zpDE9+MoVZKw/MZmP5JTCawvUTr1UDX1J12+R5SWgPsZDe5MHST39j4EuD4Sm1As5SGz9oYGM5OtE+2lTF2OvJRZEiALcvtOYoNZoY/oZpY9MUdzkirAPU8Fm78Yq28h9F8X0Osi6VwLD+XHS6rE+taGdv3tbg/9EWXK9RMkFg7vRxcK2OfaAQawhGGJL6ZTyx2UWYJDrSz+rapeLp6kkGFxDfj8Ll79n2HmmWwnSJRlMcdRv8/e+8ebctV1on+vlm11tmdgBgJREggIQHyQAw0B+huB5DGVxyjBW25NtB2gy+0lWvbDh2CMtCGxrZ9DNsx5I5L1DR6x72gjVdvtKPARR7aLZBw5WFyEj2JJpwkAuFhS8g5a1XN7/4xa1Z9c9acVbNq1dp77b3rN0aNvVbVrKq59lprrvmb3+/7fQpY5nWUURWVH4Ugh2pIQGDGjAhmoXmFTaJ8mzqjprQdQlh1RkEZV8gpVefUGkyC8tRUDIw+1vmLPZLVvnzGrUtRISZsAyClX0NgyaREKOLo7wuRRqAdbRwLZtrJZOzDDgJjocpaUmcXEoAm6mIn5Yo4Hgxs1WBsRxd9stgVHQzB56fBc6oOyo++Nbvpgio2NL+xkONQgjR1E/hfBz9XfWsmaxVx9KOMQ0gjgE7iKBGSn/pS6VSy6NeHnMLsZh6btgiyi8ZlI0utvjqze+Y4DM0N5LJsRRdh52lagwqAlAbnKuw07UcXZznxjIGYK3YK9P2wT1V+YdMJBE/0m5hafNqRhU7hbNp3jchxzlTLyZVzGm/isyF0xCRHGt9Y2HqMvltqzPxGImR8Y11TQ8dD7qfn9MLZZuwmlqqso8y++c1Qt9TeBSZBFmsTG92xwW3bMr6B27buupe7aN1Rt4IsazumAnVkxJeb7ldutY+pS/lYd1RrgGOf138rE5yQc2pRKof4rbUKbj7GkkWJw2J2Q0TXE9GdRHSaiF4TOP5LwrDrL4noC97xLyOi+4joV/av11tA7n235qLvo7CxkYxc6LKyVK1B9WNPflo9pkK0mbGvMAtak5oF7jvm5TgPYyON24gyDpGT9uVG+rmL8ShkO+KYBClLHRplHAjOlCGKiYR3PxDLZRwDvy4j0C9NtaRR5jQC8dqLM2ncLVBlemMXFHKlHfMbXyJoI0jR6wUijU50UYdlqUA757C+9YCPtySLTh9kn6Yop2FhZaly3LHjUCi/SkhT95s02gXDMTmLLVnqABOuUKQRaKJ9fsQxhFiNxRhZTLmmj0xpLEeYhJkcoekJDBFlAN4M4OthXEZvIaKbmPn2+t7M/060/18BPNO7zBuRWBx7F8GgihzqmSRuiE3Jos1jZE+WSoAZeKsAMOfKIY0zSZyxKeZvfgBdEcCDjDKG7u0vQmwSveQscIOYFNSuNMYmWymmNn45DXFsv0pqbBMhG/sQ/Chj6JiEjCjKSKN/DMDk9RYZpp9DtxlpWKiyXiSQkmQbafSlfH2QpTSAOFlUYvOjikq3txBax+35CdFF0iPlqBm1jbFklFGON36U8SAMtUaucXVGi7W5aFeUMRZpBAzZC0UcQ1vr1t65/jVScAhqLz4HwGlmvpuZVwDeDuDFHe1fBuBt9gkRPQum/M+7ttrLfUD9uzzXYhyFVLIYa2dzG7ksG5fa0kQXUZR1tNFGEeUGADTLUGdsgMM/K98SxpDGKeoy+vtiUek+WaqUabZJZXvWEpKn+qStl8R1EEDk7RppzbHd//FJrdHYZRYRk6WG0CdNHUIagYY4Tk0gZ0wDImAhQnBSlmphJ9Y2WlNHtP0IU4hzcUTp4BM8n+TFZKldJDJwHd8Z1UYXQ6gNb3oQGo+cmokd0tRdQey3oR5vAuMO231aHOshjfKxJI0h4tglLZVt/HZdxDKVPO4oLgbwSfH8TLWvBSK6FMCTAPxx9VwB+EUAP7blPm4XlPD7fwh+x3cNtMjrbQx4XRjiWJHHWppqSaO3AajbzNhfWAXEkG3XcOy+4ZzxJAXaDytSjW86MURyGiOJPrkMYJdLakgDnCnkqL5jqtkXl6b6j33nVF+i6mMmjbsJSxRXOqtlqZnSrcLpIfhRKCrdv63ooowook3g/Oc6AwbJUr37m8eeG6p1Sg19TEuO1mAMGnNl1LiqSjfUgDQ12TV1h0A6sFgpJakdJjgAWkY4AGqJKuDKRofkI05BBn1XVN/wKwU8vg7jhUR0q3h+AzPfIJ6HJgyxH8yXAngHM9sX8AMAbmbmTxIdkXmHLa+Rqdr4ZkY//KhhK596gHmQbUd5LsxvilqaKut1S6IvZalUNFFJFEVV13F+Q2fEcewII9DkjvQRx678w5hr6TbqMspcxtB9/fIaqa8BQLQGoz8h4ywD+ROrUI7QpiU2fIJ5SKWp6yLDIi9b9RiLMkOelXVNRkkQLYL7EkkjgEHEcShs4vaMaaHAOKEKrEvhklrVZFyVWZ3HGKrH2AU7VrScUAVZDBG7cB9dxD4GjgTVXtuTooZyFw15DMhVExaz5PjEuchltIQw4JrawpYXqKZ0S3Ucm3tIIxB2TwWavEagTfxCeYebkMNQbVoJW05jTP7ihniQmU92HD8D4Ani+SUA7o+0fSmAHxTP/zGA5xHRDwB4BIAlEX2RmVvGObsOVsrkzMlVo+q3v4vszGU2poXjlloUYKB6XyryWKAmjVCBcmh90cU5+rgVHIW507EkjBYp0cYxJjhTGOAk3UesIqXdn1qTtBBaEcdcAVMmTMvoopWxdDinTp3PyNkWre4jSCmvESqlIWszppBGIFynUcpUpyKPM6YDVQGLBZVYVcPyUhUo9BLLrMTDvulNV2kNeItK9qusRbQxQBa78uRYSQOt6hodY5kTVeyQooaii4ODS05k0TzmvKrLWJZetHF/o4yTzA9KAuwip4gyppBGANGSG/aYjTYCqMkjMIwcymtIyOsdYtwC4ClE9CQA98GQwpf7jYjoSgAXAPgzu4+Z/6U4/koAJw8jWWxhx6Tdhw1jJagSdZQRABbVuJapaowTpDF0/9kAZ8YIHPtvfYpTXTQHcYsGOPtBaELlKILGN/J41ARHjExdctMUKWooN6mnXylg5U7gkv/H/qKCDk+OulwrQ+jKZZT7ZD6jXKGK5TQChjT6uY2yrd1m7A4skV9GCP1Q4xu5GGZJWF06w2nXRACjm0azlf1bfe06whmWorrPxVjsRx8DkUfAHStqCbsc12IlgfwJb0d0kbbo+DwG8v/GJbk5jVo8rhDKawwZ4gCG+Plb1zG/jY+uY1ODeTuGXMxcAHg1gHcCOAXgt5n5NiJ6AxG9SDR9GYC3M/ORYMkOqhxGu83YDlKJpB+15bUwwLFmOEXpGN4AcJ9bOWro+nNdzRkBzDNGpEtUg+dOJE3tQ58sNXxOUzrDL9ERijaG5KmmWG/gZrUcNZLPGJKmtkxxvI+fdEkNTOA2KaMxVe1KH7okKG/RodTK5J15slQbZbSyVAkrQ5VRxFA+o3kcjzQCaEUbAbQijqNXQR6GAAAgAElEQVRfL2h2Pd0irCx1ocqkPEZSABwJaKCchvdYRhcdstg5ppjPOGeN62rXglmMHPpSVN8ZVY5R8fzFgFJCRhltu5A0FQhHGXcQVFKzoCmijEA7nzEYbbSksUOiCrRLtPj52JuSPil7Paxg5psB3Ozte733/Kd7rvFWAG+duGsHhzwHyml+V446Nq67GEEwymjralSRRuRZew4n52w9eYu1M+uOjpOHBUdh7jQvFQl0RRu3HfEbG2W0RMjOJVPOCQWWQmTMj+r1mtD4BHCxcLfoeen/XFuDMb39RLKwLSFEAmQUMTbAxCKNoedAE3GMRR1nHCyIuHZJtX9D5TXGlCBwFqgc4tYmi6psb4CMLnJN1pyoo7eZ+3Lr2nWfPClqLLrYlb8YUh1sFGUciakU3jXZj73kkhy1g/xfA/3RRhlNZB2OOMrnm24hpMpc890vtXG8cFQMe3YAU8hRgY4oozSwseU2/A1wo4u+gdjAe884HpgJo4cxpHGbZTYkHDllzzsnr9V33RABaxFIKf3yJSkDCF9zTnjQdK7dIX3ROUWJoyGJlEa4JyKTQ+WoRa8MNUQkc+95N2mMSU5n8ri78GWpUp668JL7Ys68VFJbxSBzBy2hE2TRksOQHLWLOEoCae7NLVIJyFzJuBRVlajJYiy6GEI9ZlQkUS5s1WU2ZG1GwBl/pprAjUGf2iSoevGjyH3E0f5NJI5Dx7IYfKnrtsEglFoN3mYkQhFYmSLx9W/+BKkiMzYDr4u6LmNNGi0safSlp/a5jC76kcbZMXWGh/nbHsBBksax7VLh12AM5TEmI0QUU2oxyTb2GhHS2ZcvYYghQefmtU0dTfQnbNwjW+5bWV8HJijrnohiLJ/RPHdJ4xDiOGN3QGDsKSPhtqRREkTfObLLbbK+pgbAnsxTSlEFWQzmKnrkMEQc63v5xFF3k8UUKaqNLlpC2SqjIeCTRvmYW87LAwaJyEo6FQxEXF2nRpQ0JkQcAbSjjT3EUR7bNLo4hnyOKakxY7s43ILiwwMr+0yN4EXb2SijfQw0xLHLBXV2SN0qSlaDtl3DPJPcMYxyZa3cUv08RWB4HqPZ75XUEHmMwfIagJvLKMtstNr1f+R2uf6ihJM35MHPYwxB5jLaMhsSKfmMfjug7Zpq91ls4pLKHJbRzpgGCypxzhuWbR5j/XxgaQ2gGlOq3EXAJXM+kfPRfHSq6F9Vlk5n3bnUbnmNMFkkzU27RCmqRLAeI8Q45ddmBFwSGCuxEQGV2uQWqm3nKACy+p8ljcHFTEsMMzeqy6ohjZS5OY1+fiMAJ8dRgkbMW5zSHaL2o81l1FolmzelYh6bZhxHSNJIqIYOmc+YqWY+Zudfcn42UI464/jiWBFGpnRC1lVyI2posyUDHNkuxfxmk/IdvvFNdEJmSWTM9CZEGjtMbjr7dERkL775jdkXN8ABNiONQJgczhHH3YOCyWE8C5Pra8tr2HqMFsb8ZrPvA3kkUeYThhaQaoIYIY7d9/KkqT1k0ZeiDong1WOSLa0Rq80INGPPENlVyfv7i+mRRiCgeJAEUh7LeDRxBFy5c4hEdsESTEkaU3EANRhnJELnhIm802ZsAdIAp0UaAZc4WvhRSHGdGdOCmeo6y4cVR2MmPhCpdfgOSpo6lQy1K48x1fjGQZ+ddkv6lbtbz3ld+YubOKRuG7pHprou2m/oEGlqzARnpfNWyQ0/93GWpB4+xMprZGMNb2yOopWfetFFS+JsPmFrs5JUSyo9U5vwfQN5jIlk0Zeimuu5r11K6+WCUpc01TzOgiU0WnmMftRxQE6lhBtl9e7pyUn9fQB6tYAmX7XZagi5qpSqdhrjBOSqY8xtfGmr/AsMq+84Y0dg/Zjk77I1jUpJQ5mxVXRKWC0ZLHV7kwgoLWZzmxkSx3rkTiGOKXUatwG/X/J5SHXju6VK+HmKfh6jOT/B+KY+f4OcoA3O2fVIoz85ChkqhCZL0gBnKGk0x+J5jRbT1V4kFGU2eJvRDaqYgZ/HCBjiOCavq0tl4LujWnIYckmVxFEVFfELuaEGDG+GkEUqOEgWUxAbG4IGOH3Xsivs9UTrgCdN3LF5aJHHocRRPvf3RxAikL6ZTt12q+Y3s+nNfmCuxbi7iBrgdCkpQse8fTLqOJPI3QIRXU9EdxLRaSJ6TaTNtxPR7UR0GxH9X2L/E4noXUR0qjp+Wde95qUh9Es4Y/LU/ZamBvs28F59eY7N+fE8xq59UYmq38Z7bH+A3AleYPV6HyONfq0zpy6arXWWiFAuY0yaKvMZU+Sp5lhbogqEDSTmiONu4oRamxqMIo/R1mMciqCcXjdyVPuxsEQulEdoUUtSBUNpy1TD8KWuXWSx7ntHZFHCz8G2Y1ZQmooyHiUcmMc4BfyxxTkmx5k+xJqR+xlg51BVUzMmVbVQYqzrgxgLY1LUMRLVGTsEtbsqnxmGyDn1HouikaaqnjzGavyb5ajbAyMcRNgERJQBeDOArwdwBsAtRHQTM98u2jwFwGsBfA0zf56IHisu8ZsA3sTM7yaiR6B2OQhjXiaqMDbSuJ/S1L4o45D7Ncf7o43O6n1sZdEngbHV/JRVflnCIxA56CqpsWtIjTL6SI00dklUbfsxhGO/QUQ3EtGniegvIscfRUS/T0Qfq1bJvlMcewUR/VW1vWL/ej09FmKVZxFY8VmoEguloZSGIk6agNeGN/7+Ospoi8MzVMnIzmlk5zRU9bwhdtKxtNpXhI1y5P4YWbTXl1FF6YjaRRYt/PHLjhdBaSqqKKOVpeZZv5yub/FrKBJ5YCx/3m8TlKPa+4goZCjqGIo4Oi7QfqSxK/IYkLQC4SjjjBkztoc6yiiet0ptzCUzjgqeA+A0M9/NzCsAbwfwYq/N9wJ4MzN/HgCY+dMAQETXAMiZ+d3V/i8y85e6bjaP4gJ9EtVtk8ZNwT1znzF5jH2y1E5piiWOcvOPi2sMdUfdqCTIRLATLF26E6XQBKkvl7FLutlVo7FPomrPmYI8GidCNXhLwFsBXN9x/AcB3M7M1wK4DsAvEtGSiL4CwE8BeC7M4PlTRHTBRi/yAEAE7NG6fu6bFeVKJxuCSMWBW66ikSXWuYuWxAnyVktQK4loTRqrSKSf2wg0BNEnil1kEWjnK6YSRYnQohfgjk2cZS3yuC3011YMP/eVIj4h7CSIkfYAkoljiDy2SKREjEBGSOO2scWxaYbFHGXcabTkon4UMaSkmEtp7DIuJKJbxfYq7/jFAD4pnp+p9kk8FcBTiei/E9EHieh6sf8LRPR/E9GfE9HPVxHLKGZtWgCbSESnvm9KX3xZaorsNFRSw3dIbd0nJEGVSJGjyrYdkJO9LsMbW4PxsME6pgJp0lQgLk/1j5nj5p/iG6fYc3cNzPyBHv08A3gkERGARwD4HIACwDcCeDczfw4AiOjdMMTzbVvt8BaxV0lTAfP+rVUWXASwUJmGLronvr5fjiWNANpksSZs1TWLZmVRw8hRTUkNBqtwaZ7mPk10Ut4LQH2/uu0G9u5yPGs5O8vSGqnXWxegE8umb0VVoqMgYLkb35+ukiZ2sdIpx2H/BeTtF2U5/Gva63TVnyUp0wca99XKeVVGwXWpgEyb8Q8AZonqjBkOpsgRrB1T7cL+umiMvSIE0c/dtv2YZarTgBkohi9QPcjMJzuOhwZm/8cuB/AUmIX2SwD8CRF9VbX/eQCeCeBeAL8F4JUAfj12s+O1vDZgcSwuHd1/aWrseN+8P3atFGMcc35EGupFBF130xTJaUeeYiRi2Wd4wxkly3RHQeYDJcjFnFPFICGjjFKaGos0+nXF/Ehjl0TVtGnLVA8pfgXA1QDuB/AJAP+WmTXSVth2Hqoa40+oeJRxMIKmKNyKOlqyqNZlFeGz0UMT7QtFG1uGOJ5JjdzXRxZlVDFmoJP0cjOqo40taapsl2q4ZSdW3gTOkfFOjC4SaI/LaGBKO7M4IKKOQq4aNMjx3Ftjm0UrEqm9vzBRxpDqYnZMPTzQs9HNVrENYmYNcPqun3rv2fBm53AGwBPE80tg5kh+m/+HmdfM/NcA7oQhkGcA/HklZy0A/B6Af9h1s2M3AnDO9dbbdkdIY1IJELsSHOAGU+QxDkLXhCxyLCRH9UliSp+2Jfcdg6F5O12kMZbTCPRLVE2bfBLyyCAUpRq8oV9a0YdvBPBRAI8H8AwAv0JEX4a0FbZDgQUV4vF0P8yWsNXSRyFHhRNZdImiWpXNc90QPT+v0cInj5ZUNnLWMFm0feoq0TEGzviRkStLjZTXAJDsiuobhQHD+2rJGjn/x36SZs9J2eQ17T19uWrUXdXf5P0j5BGAQxr3K39xg7FpRh/EW89KLhB3/57MBMNgP/8PwcigII0+OQy1m3FocAuApxDRk4hoCeClAG7y2vwegH8KAER0IYwU9e7q3AuI6DFVuxcCuB0dOBKhh7HgnEFFNwmJO5tu1zm1q518HJKfdu3376fztmmFzglKSFPl81qWmiug0HVx7JZctS6MXbrPZV9i0cSOlcyUeow6o0HEMUbo+29kZFdcEihj6JKgsrYMCzBRRltHTzqmSmkqEJenmmNh91QgLFEFwoWwDyji2Cet6MN3AvhZZmYAp4norwFcBbNKdp1odwmA921wnwPHgkqcxaJ5rkosVYFCKaxUhkxp5JnGat1xER91+YxmVx1d1A1JBBCQnStYMSorI1tXzSVrx9QgAk6oUvZa5zgG5KiS8FHJUYMb//yWe2qXlD7P3ElSKAeoYwFMlQArBkBQJRDiH1RuMMYEEPq9iJnkmN+p6JXqNnKJJfy7ZuXLgfsIKat1Xq1dVxOcpNdibFyV2agSMjNmzAijdk8tiprg90UUZ6K/DRDKFMfpAWDmgoheDeCdADIANzLzbUT0BgC3MvNN1bFvIKLbAZQAfoyZPwsARPSjAN5Tpfp8BMCvdt3vWBNGAHWksYs4HgRpnCqP0iWXw/MYZT5QKzfIv1eszEakbXOPqk2AKIYIYmr0c5NoIxWUFIXugySP2yCNAJy8RgBB4ijbHVLcC+BrYfT3FwG4EmaV7DSAnxFGN98AYyF9qFDXYaQ1zlVk8YQqcE7nWEWG6TzTKKzEuSItLUS+rv73nko2311/v6CFQdLo5wcG8gXHkEW7P15fUQWfN2MVVSSze8wCYCZRq1V3mx6Qbo83SgNDUlao7B6z2mY5AeMbGe1TbhtJHjmTbd02Xg2O6L3q9l4OpEMaARNlhIKChraipjl38Uhjzns7WFiS6OQuAg5pbCEQXZzfx90HM98M4GZv3+vFYwbwI9Xmn/tuAF+deq8D1WP0FZwkoh+pikl+nIjeQ0SXimMlEX202vwQ7GD0kYOh8tQp0CVNDZbh6JCl+kjJY4wRMz8C2Fc7se/8YJtY/mSFVIfUg/J3SZFhxfIZgW731K68RiBeSsPmOIYkqwcNInobgD8DcCURnSGi7yai7yei76+avBHAPyGiTwB4D4AfZ+YHK7ObN8LIK24B8AZrgDNBn/Z1fNoT+Yvy8VSoJYl2rm7lqE4OYelsqIhkk9vYlqc60kzxOFg2w5GgVtct2lvd58GOqXLcEEQoV44stTePsSyFCURpIo8jpbExhBYPQw6qUlpq9rkuqVHJakceY59cteWw6m+hvgjXVaCSp3asqMsxb4r6ZMyA1mrwdhhx4HMndTj/b7uAEAnbNjFzIoYh2anYF4suzlHHzcBs5nJDtl3DgUUYUwpOAvhzACeZ+UtE9G8A/ByAf1Ede5iZnzFln1KijcnX2pI0NYQUWWrf9UPRRudankwVQC1LbV2rQwIWJZvWSGdAYn3MTr99z+RL9qKvqLaVpbr7wlFGYFikEUCngyqAlkwVQFDiNZY0MofLg2wKZn5Zz/H7YaKHoWM3Arhxyv4c5Ph0Qrik9kFlGuU6/TtT5zNqSeJEdLEVYSzByDojjZxTMJ8PQIssyqiiM0Z4UUoq9KCxQMKPKkajjFnWSFBjE2DfUXBi0gi0x5SucdoniinnAG5E0Y08RvLxveike612FNJ3XSVwI8O1ZTaqKCOkcZtWc7RxIHZm7pRnwGp+73YVfpSxlqYCc67ijFE4yGWi3oKTzPxeUUjygzD5SVtHLNp4ECY4Q6OMKRhaj7Ev2mf2uxcNuxPGI5MhOH2IRDv3Ix0vKDv29oWcU2WUUSeupndFGs3xuBkOEDO82bz+4jHEvo5P1iVVGt8ARpa6VAWWqhxUi9GBN6ezOctKSkJLNlHFotrOrUwpiWp/X6RRytjtc6emY4wsBkiqfW7b+GSvzzFZtkldVBqCUeU/AoY1w+7ZRPLciKC4ViwayG6kMhR1lNdqtfGil311HgHUkca+cXFqHBPTm52dO83YDAcdxTvo+8/YbRzkaDnUDv+7AfyheL5XuS1+kIi+JfWmqeYDu0wauxC6rluKwzeOGJcjWJO/UC6iaCO3KFpEMtw2ZniTMimc0nTCwcgkZr/URqo81Rzvl6h2EceZPCZh38enpWARCyqjTqmLEaYg/imNc6oX5StLk89XGhmmTxol6pIbMeLolM3wyGJFFH0JLNkJS2IkjxW1tvpYy2VZNS6pFiF35qIAF0WnW+omNSPD1+uocxiIKgaJIjzSFyGTITmqTwK7nFY7y3UE+huSpkrSaMc7fxybEcWBzJ1mHF5YyesQQjjnL04PrWnQtms4SNObZDt8IvoOACcBvEDsfiIz309ElwP4YyL6BDPfFTj3VQBeBQDZBcYXoy5q3PObH3NRPWjn1NBxX5bKOUA93/eQlLVljCNMcIKy1JEIltEIRSVHlNY4aEhZqpSj+u6pffJUALVE1ZLGLomqOZ7qlDpSkgqaJN/oEGDr45Mcmx77+GYolsY3MSyUhrVpIZu7rMKdru/nEz4rFy10HV1EWTbOxrYdAEYGZBAyUlXJ2I0xTawuYZQsAmFymBGoLOvxoUuaKsmhv1/2xywoSfOuDIQSSJ0PFQVwYpnY2ECVbcMbVQJlBvMpsmYyWvwe9dR3lWQRANxcQvc+EvInhu390fUb4y8qhp1WQzJXu3BKZWXjJBdSK/MbO+ZpDr/elc6Qq2kJ+aYgousB/DKMoPbXmPlnA22+HcBPw/yHP8bMLxfHvgzAKQC/y8yv3rQ7gX1bnTud+AdfvmGXZ0hIM5ptEjNHhtqxz+7vus6MGQc580spOAki+joAPwngRcx8zu6vcprAzHfD2Og/M3QTZr6BmU8y88nsEee7x1R/5OmgIo3p9+s+T/KCofUY4xE9L9+wI8oYPl+0iUwGU8pnOO13YHE6JL/y4cuxfPLl5wduGm0E4hHHGZ3Y+vgkx6Yvf7R5f4aY3agRk+qQOyqAJroIGIJUFMLspazatqWpZn+7H7WhTRdZtFHGSgZb98Nig3xBSyZT5KvWydlxE7TXsZO5UvSxAo1YPBubpx4jizICWNe9tNDufuVHDQORSXuvmBFOKArp9k9EF4UJjhwbWXxcmujiBKY3IGgevvVB5Ax+E4BrALyMiK7x2jwFxp35a5j5aQB+2LvMGwG8f+MXabDvc6fF8vxQkxkbIFQTcdv3qx+XZWuLtZ0xw+IgCWNvwUkieiaAt8AMeJ8W+y8gohPV4wsBfA16Ck52oY84TkUau+6feu2u45YrpFyvL4/Rj+T1Trw80hiMIEb2m/vZnKNQ7qNHZCMS1CHkeRRihDAgHdCirU8S94M0dhHHmTwmYd/Hpz1ySzvsqTVOqMLIU6tajFOgZW4ln1tSpLVDGh1pauBaDUGUjqvdZNEhioBDGv37bAO9TqlTIIHTdyld/HxFAK0IYU0UtbehvS9EHqO5jh25jCHHVSlTDca7dCNNjeUx7qh6oTdnEMD3AngzM38eALzx4FkALgLwron6sxtzp2L739EZM44KmI06a8i2azgwSWpiwcmfB/AIAP/V1JXEvcz8IgBXA3gLERm7PlPQezRhrPsUkYgC08hThzqh+u3j94rsj8hSU+oxutdpy1Kt82CnI2pftLHHBVGSRz/iGMtbTC230YX+emhGeuXUGuuBL0cdIk8FhktUTZu2TNViNGnk7ZpW7AoOenyKOaUuVYmVavYran/+klQLJTuyzUaOWgBaN5IpW7i+LJuaqiXXrqlmHODqsY08ScdPv0xGQxbNtcRnM8tARZlE5JxcRW9ssGOVlKZaWSoA0/eEcZiLoiXdotK4xtYoGVh499f9i1fmWj3jTMgFNUAWAdQEsdctVTyuTUzlcdkfal/Prd/oSlHt6zHHqf4NNApcrt1RdWnGOl0qqLzcBafUC4noVvH8Bma+QTwP5Qw+17vGUwGAiP47zCv9aWb+IyJSAH4RwL+CqSO7MQ56bJpxuCAlqK26jInnz5gBHGwOY0rBya+LnPc/ADx9K33qyG8cShqD1x+YzzjmWj5iZTdix3xCmYxImQ0fijWe/dBduOJLf4u7zvtKfPjRV5oF7oogDpWjbhMyxygFkkT6JTbGkEYALeIYK71hjg8jjjPiOIjxaUklFlTgLHfnMLagxsk3W3LSiiyiLM1Ef5GbSIIlc1Uuozzffm/bclfXUMchi2WAMAJBE5ouhHKa5QIXAITKanCWgcrCLa1RQbHGydUn8WT1d7iLLsJHlpenBAo3QmeUsYss6sC+DtjbcNY8qYljYIEy2pf2kbqTUeVNSaCOz2mp1WZj1PjFrAeZ+WTH8ZScwRzAUwBcByMR/RMi+ioA3wHgZmb+ZEXcJsEuzp1mdCOWO7hrmOWoM2I4UMK476Bw5C+EqCHNANIYuxeRxgtOncI1D9yH2x93MT7w1KuhlQreMzXKaNFFDlPO96ON0ugmVs/MiTL2kEbFGj9z9/+JKx+6D3t6hbNqiTs+fQl+4up/jTKgkOaO0hqxkhpDy40MJYVBaApO2seQRgC90UafNAJoEcfcM7uRMtWZPO4WKFIPL4Yskr/IWXh86rx3nbtYQrHGs87+Da4oPoO78sfgI/nl0DbKaI1oyqY2I+fKIY3muIgoVlLUKFm0kca8IW7WZIdQgrNxP1GWNPoGOFHkObBaQbHGm869B1fqB7FXFji7znHn+ja8bu8lNdmiQgPL5rtkrr+dRa5RZLGDfAajit4xoE0eATiGOebG3m9TXbuR6wYyygjF9TjJGkAWN74pdkuOlZIzeAbAB5l5DeCviehOGAL5jwE8j4h+ACbitySiLzLza/ah39uDrU861/ObDNuM5KVGGWeyuF3oBO6xyzhehLGCWyQ5/gZugzQqrfFfbnwLrv3kPdhbrXB2ucTHLrkU3/XK70smjeHXFPjxHkg+dd7UaDOvs1mp75KlttBBGp/90F248qH7cJ42+Vrn6RWu/uIZnPyfp/Ghr7hK9C1twjC0ztrY2pWD7tEjVe0jjUB/tNGXqAJp0cam7e6vdB437FGBs9y4cdrSGidUgTVnWKsMXxLt80xjtQZUplGuN59gK9b4D1/4b7hy/SnswZKl2/G6R7/IEAwpS61gXUyDxjcib7EF3421aF/btGPnV8qpCdujRGhHGskdRzMyTqlZVvflpH4AV+oHcV5loXoeCly1+hROPvw3+PCJqxCDKgC9CMtRa3dUp3OoCVdsTPLH/BhZ9IlilxdS43Hb3heSq4bOtaj7LYhjkDRWHgBUkURoMmRRjHtF2YxdqzLDcrcWtOqcQQD3weQMvtxr83sAXgbgrVVu4FMB3M3M/9I2IKJXAjh56MnijEOPMdLUGTN2ahnvINBnUBOtlzjACEfe4wV3nsK1n7wH569WyACcv1rh2jP34Pl/ear3nqF79JrjRMaEvnqMQ3MBW9b3uQpuV3zpb7GnXXOPE3qFKx56wNw3MAmU+1L7NTUxjC0sxJxR2TG96S9erUsVNMMZY4gTMsWx26Zgbvo6ZJuRjj21xh6F3VK7yg1EFylUmuHTybP34Mr1p3AeCihUZKn4NE6eu7cmVI5TaIdsPZq3aF1Xi1K4sYZdWUPXikFnVG8+WFHj7Jx114R9cvlZ7Hn1Nk6gwOVnP9Xbh6488KFwyKK4rORRPllU1dYyv5GmN34bRBxUAwY60jDH3l+a5ljjmxa4GT/tuBiqw7gptjU2MXMBwOYMngLw2zZnkIheVDV7J4DPEtHtAN4L4MeY+bOTvLAZM7YA69Iqt1abOX9xMjADrNWgbdewez06AHDGncRxKGmM3QMArrn/PuytPDfE1QpXP+AqXPx7phAg2yY0OeyaMPZNJiVh8/MM3RX//o/TXed9Jc4qt6bZObXEXec/rvfcaP/2M1hWW8oHiGJHodUU0hjbl0IaU4ijaTsNcZwxLVTFCnyn1BBCdTWDaHxeAJhFIbtJWHOqK9afCZOl9Wfc63oupj6hq5+HCJQki4CRtul+Quj0V3Uvbsnn0Shk1cYx2FEKp7NH46wnvDmHHHcvHjOoj6Yj4d2hyCH5JMwiVDNRh8mivKckdw7RixFHHSaDMQIZc1ut3VKte6oWY6X9q+Vimj9u7ebYxMw3M/NTmfkKZn5Tte/1lcEM2OBHmPkaZn46M789cI23TlCDccaMUZjJ34xNMRNGgS7iOIQ0dpXbuP3xF+Ps0iVMZ5dLnHrc4xP61//YaR/rc2/JjvE66z7SeMujnoI7z78YD6slNICH1RKnHnkJbrngqS0SGstfTO3fQc89/OijLqlFHEOr3CnRxnWR9UYbgZk4HiYsQpbGsbbVzN5Kkn1Jc29pn4ycyBsA3LV4DM6FyFJ+YW9/qND15uwP5S5aVAY7vC6aMh719dImNzHFwWC35Io43rq4BHdmj8HDyM34hBx3LC7CrXuXDruehxRzslabSN6iTx5VgMi1ymOUDckMEcfQNZIIJNw2PmlsvRbx8ZD1GHVknBoK1sO3GcNAAxd4ZsyYcTQwi5gDiJnVDMlpjOUdvu+aq/CxJ1zq5jA+4VK8/+qr4ftejHFODUGW15gij9HmLsZyGbtKbZSLHMZ2puoAACAASURBVK+95hV49hf+Clc89ABOP/LxhizSZpOFbeQmUkFJUWQnZ9EzvwnlM/pGOGZfO4/RksYhTqqh3EYgbIwzDm3SO2M7OKHWJneRM5yLOTwFwBkD6+Hv0a2PuBx3/P1FuGr1KZxAgXPIcUf+2HFkKSbPtNFF68YaOp7gJNiXvwi4bs8mKqkA6CbfzjqlynNI4SfP+wacXN2Ly/XncPfyInzkvMs2Hp/Mxase2Jc3wCvHT+mzpE95xK2OVPZ8zUPmN6F9cr+En/doX1ddWqO0+YxVuwxuOSJFTZmNgPHN6qBX+2a4YEAlSMNnHB3MEcmpcfjnTseMMDJgJ+o9b9y2SKNWCq/83lfhutvvwNUP3I9Tj3s83n+lcUkFAqY53v3kNcMmO2mr2QB66zHK49ItNYQU0mijj5oUPnTBlfjQBVf2ltKI7+96ZfsDOwFqYQPSCLSjRWOdVIE4cQSmII8ztoFYaY2FKrFUBb6ERfVcYwXP9CZjYKBLKjIC5xn0SuF1F3wznvXFuxuXVEuWNi1y7+Um2tId9XOgMWEo00hj6HWY893vVbDMhhybRGkNWuTQZYkPZZfgQ9kloOUJ0BRkcSj6pKhShgoRVazNcGJjtfvZkCU1/DIb4rYuVENgJXF0yDDQrseYs/ndVbbskAKp9nhXagWkyq5nHDxmp9RkHHRpjYO+/4zDjR2Ydh8Q5GQ9ZlxStfGJ4xSk8Y+/6hq89+qnBe7ZTxrDffUihRmQrzWed/cpXPXp+3Dnoy/Gn156dVynugX0yVNDTqghOapFn8wsaHgx8BMeIoGtshsluZ8fhElh33G72pRCHMdEG4E4cQQwiQRsxjSw74TvlBrCUpV4GIE6jcoNWXFWRX0yQCnzGdaZWWzRGaByL58xy6AXS9xy/uX48PqJDYHLmy8R51lDzHrgyFElKkmbqXd4L56ML+B0/hh8JL8smPYXG0ec77v/2C50RWrKGmfXsnFKBerSGsgyl1apCQhzDKEoo9dd6YragnbJoiWK8d+Lxr3UuYd7yegx/7iMStakEe0oI6vm1qTRWlQDzFhVqg1qMTLNBlvbRkqJmhmDMUfzZhwGHF/CKNETdQxFG6eQp0ajmL21ErujjIAp3/GW33kLnv7APdhbr3B2scQnLroUP/jPvg8MFSSY8ndaRhtTZKnmnEiZjeBrmCBfZYNcyzGIRhRDCEyIYqRyKHEcGm0EuonjIHA7N3PGwUEpDSCDHwTjDEDYaLUFzhUoIxNpyzOgUA1ZVDZymTlRPx67Sl1FIxRrvOmhd5p6hyhw9lyOO1cX4XWP/VZoDLx2aBwQpDHtGk1pjf2AU04j0s2QOY4vRY2RxRjnEhoQe9VWG78eo88gQ+SyJorwSGMVZaSMHVlq3QttxrSCGMtZ8TBjxk5gJrBbAAPcYYx4GDAvx0l0RYgCx6YywknB0MDg8+4+hac/cA/OX1flO9YrPP1T9+Br7j3V6ov/fBO5ZwoR9NvEZKd1+xGGN/sFSfhbRCowOHBJUcIVMsUx+9NMcSRCpjhA46g6lZX9jOmw55ne7NHaqcUokXVNrnu+IqxMTp/OZLmJrIoeZibSplQVWcvj0bUNvosnz91b1zusS3isP4WTD909+ppd/eO8bfITc0rdBYRqLsbahcgilRzcalMc3ZxHJTfPddgkJ+S06ruz1jmUgrC67q+NWyqXFBwfZ8yYsV3MZHDGWOzGr+MuIeMocdxP0tjvZBrfxxlw9afvw97aK9+xXuHKB+9vn9gBKfuqXUw9N1Of8I2NHvpy1D4iafrnX2PUrSdDCmm07YYQxxQ31VjdxhBxBKarfzZjeuypdnhwGSGNikTEJhBp5AzQqnrsH7ckKqNqq6KMeyfMZklkTSjJRBcdMqbqzb13XL76ZB2pd6g/F/6HyP7KcSGBtPbVnK1REUda5PVr3pXi1rHootNGkkVJAHWbIGYrDhPHDvIYIpF+iQ7HeMcz4CEbgozAOqWudYbVWAdnTcO3GWkQclQqNIaWw5lxODATyi3ikI9Nx2vGSOituVhjB0njkDIZpx57Mc4uvPIdiyXueKxbviN5MtWDFNLImRocXazb7VhkUcqXgzUZJTq+/FMRR6drA4njYMyTsq2iqxbjsiu/S7nEMT5eVLmLNsKWkSF8lhQul40ENUQW7XVCJNE+dwhl+3N3Wg2vdyjHjtB4oLNm64OMrJr+Vn/zfoKYUm/WIhQI9qNvPpzoYuy6nhTVJ4uqCG/ZyiWJrYhjF3n0SGTdR2uWIxxba0Jry2x446XNY7TjWcgpdcZuIuaAPiMNu0DIdqEPMw4fjhdhFLDEsZM87iBpTD32J5dfjY8/7lI8tFiiBPBQlcP4p5deHT2/Ha1zJV1DYQliiCgCLlkcEpXcD4fU+GSu//8QzfHbgDi29w2XqQINcZyMPM6YBPYdTqnFmAsWEqrDGBzTKsMb+Z3WWSXVzATJqxxTQ2SxRkUwYwge8wjZrSeeGK93KPMjR9ZcrZ+PWWhSJofTMf2p+pSau5nqVN17XsgZVcv2YbIYk6RSyTV5lORQRg2j5NEnkaXbt/rfF4ky+sRxxuFDiywmehbMiGOXyNsu9WVGGojoeiK6k4hOE9FrAsdfSUSfIaKPVtv3iGOl2H9T3712Q29zwIi5oQKIGuLstxFO3z3865YLhVd9+/fh+adP4arP3I87L3w8/vSyq8Fada5cW/j1GJv9Ve1Fz/xGHtsEvhw1haj2ync3WBaxtRhbTqmA45baMnOo3sOgc6oljSqwQCBX4sW5IWOcsaY4FjNpPLxYZiXOFm2nVBI1GDljgKi1LGidUtXaROpI5vaVGQglGC5payJxDVkMLfIkmV4p5dQ7vAJfcEt4oB2VDCofqn2pJfs4J6AQhmG+U2rI+EbkNIYipZsiRiz7xmhZQiNIFoV8UJXh/5ECicU3a1xGzr3D72bbMMca3ci/Zdb8bZ1ekvktU+Qa3wTMf5PBmNUM20LKz/pcXuNQYS6xsc/YwvhERBmANwP4egBnANxCRDcx8+1e099i5lcHLvEwMz8j9X4zYRToJGsZ7xtpbPerv12sfMf7nvo0fOCKp7l5JIH2XfeIWdNvgjHRxVS57EHlMYZcVDvLbXQQR3sukEYcU0pwAD1mKQcIIroRwD8D8Glm/qrA8RcDeCPMfLQA8MPM/KfVsRLAJ6qm9zLzi/an19Nij0qcFXVgFlTghFpjzRnWnOGcF1pfqBJnkSPPNIoig8o0dGHJXEMcAUMYbGkNALXxjeWF5rulQJkGw5BGi1SyaPdTqQ0Zg7iWR8hoYSKLH6bL8GEAtHdicsMZ6fwsxzDTx7J+TSgNGaSybAx+5OR3SqJo2VRq28C+RtLKzm+NTxZr4ldFEGuCLWb/WWnee5841tcMOCjFnFYd0ijKaVBpmpBq3FJjsKU1QuqIGQeLTReDZ+weJGmco4uHEs8BcJqZ7wYAIno7gBcD8AnjJJhHZQ+dMtWgZHR6eWqfNFVefwpylJrHGIv2OblFKUY1I+St7XtOv5KcKiMbKqvqkpsC6M31C53v5zemmOIATX7j6AkZN/0ZsiXgrQCu7zj+HgDXVqth3wXg18Sxh5n5GdV2KMmij2XkwxirUecUP5eRbi+nTxrfcEaOLNXmMiIj8DI3OY3WuKbOc1RN28BmrhvIX7akK8/cPEGvXIckZ1zLQOOf1aToYqg+a+r4kZDTODXkW9ySo9r9geii2d/IS1Ey1EpDlWzIcrU10lNDLlsy1R5JatBp1ZPO1sTWI71WljpLU48WeG0WWGbSkQb7f9qF/xeX5U70Y0YQFxLRrWJ7lXf8YgCfFM/PVPt8fBsRfZyI3kFETxD796rrfpCIvqWvM8crwkhNtKZvEhuNNu5TpLFPmtrd98D1RH/8movd12rqMVr4slQfXdLULrIYI6Q7Z3gjIWSpQDjKaNEpU7WQpDGhjqMuabBMte76Dq3iM/MHiOiyjuNfFE/PR5pI6lBijwqc5WX0+FIV+BKMdm+hNByLHNVUgpe1GK1TqgIqcgfonB1ZKqCczy5BO/mIjVFMmBhSqevxwh6ro4xl0RDDoqzzBJt+q4acRWRS1iE1Nh6wqr5ficXFOVOgQoOzQP98oriJdEsDfmnJmEy0D05+oFCN2OiiJYqmLTvjs323dP28HXGUEUWdx9If2Dvf7qvOzQy5tVFGpYwslbS7wCmNb0gBetMasej/XZ8xDva/SrpyR93HmqVHFTNJO34YMT49yMwnO46HLuj/AP4+gLcx8zki+n4AvwHghdWxJzLz/UR0OYA/JqJPMPNdsZvtzoxxn0EZ11sM0WjjAUUaY1HG2DVSoo99xjepSHE/De3rMsMZYrQzllQOMaeI5o56g0DfCnpy9C0QdUyJNpp9/dHGfUbfSlkviOhbiegOAP8NJspoMWiVbJfh12KMQbqlqir0RPLtrT4OrMR3XDXfb51JWSrVdQr1MoNeZuBMQZ/IPeMqG0kMm1jJdi1YMx2giTJaCaqUogr5K4C4BNZXRSgKPk4ez+T1pATVGgDZNuL1c149V5RkxJUy1tRva0SO2lyLW38bKSrXZLGOImoTbaSCkZ3TrYijjDb65jj+5kcf62ijMOCpazVW/W7KclBneQ1ZWmPGjsFfiJlzFmfMOGicASAjhpcAcGrnMfNnmflc9fRXATxLHLu/+ns3gPcBeGbXzY5XhDGCvqhjMNq3YaQxfJ9hBCb1PBlR5BxInJM6xjdj8hinkJ6G+rRt+FFCa3zT1SblOjHEjG5qBHIdY/mNKdFGi1DUsb+zo50O+1bK+m/N/LsAfpeIng+Tz/h11aFBq2S7CKL452RBJRaBL3gsH5WV4YvOopJq/sqSG5wRtGZgqaCgTa5hnY0mrikImyRkrdehbXSxSdYLRhkt7KQzz2uiVhPLnkWgLk7BilqRRp2R6VHI+AYijxGYNm8R4yKKKXJUoBmjZXSxJostE6LqfSzciGMo2hh9LbatyHs0GavmManq/6wAlAHTGwthfDMJOP23dsaEmOsxzphxULgFwFOI6EkA7gPwUgAvlw2I6HHM/ED19EUATlX7LwDwpSryeCGArwHwc103mwmjQBdxnJo0hqSp5nzfjMa9njw+hIyGMMT4pum3K0OVz6Vjatr9pQPh8EnDthehqRyQI+pJU5tryPduQ/IYIY5j3FTl/sOGSr56BRFdyMwPylUyInofzCrZoSKMALAgxlnxlu+pNdac41wlPz2hCqw5w0No5KqWNCpLOJX9LprxpXZKRbVwVFR5jLqRpVJpKB0EofLFJ04EL/JdpYJrotYijZUbqTHBCUCW8kCTv2ge96QPpBCOjGoyZa7ZNr4xj6v71sdEaZGJ4ZPIlDSBkBy1ji76kcVSt9IJpCAVRf2oJVM1LbvHK5c4GtJYKiE9raKMviyVSgCeG+pkTqkztgM+shkAM2bsD3j63G1mLojo1QDeCZP4cCMz30ZEbwBwKzPfBOCHiOhFMCP+5wC8sjr9agBvISL7Q/2zAXdVBzNhDIAyPlDSmHTfaNuG6IytBWau085dlJiihMZhhCyv0YogRkhjfW7gc9KFaM6jpsHRRrMvTBwPA4joyQDuYmYmon8IYAngs2NWyQ4D9miFFf+D4LGlKvEl8TzPNFZr876Wa1WX1uD6ryEm2drklSGzJTXsWNHkntlfDkZ7YcgiJv+uKWYRyCOsyWJZExW33mK49mJL6j5Aem7Jayxn24xx9nEVAQ31B02bzvuNkMUHSWLk6yndUeVf55hHFqMRRmnX6kUbm5aRnPKAk6oljZQRbJTR5jKGooxUkgmDB8ZA65Q6Y7dAha63GTNm7AaY+WYAN3v7Xi8evxbAawPn/Q8ATx9yr+NHGP0SBhFnyli0cT9IYx/ZC5vkJEQHO4xvuiSnfeTRbZsWZYw5H8ZkrEMnYweWAmPf84RoYiqBDBLHBJlqKNpo9m9CHKn1WZ8CRPQ2ANfB5DqeAfBTqOIQzPy/A/g2AP+aiNYAHgbwLyryOHiV7CggV9qpxdgqrZExUFBtfMNZFfUR6gST30jG/AZGmqpQmcqUVcSx5DBJ8/eJdm6Usi1NRc5hKiIjeaKEh+kvNaRVEsoN5YzW+Ka+p42AygijuKfs0zbRGsu9r6qUo8rcRZ8s+pN7KqyRkRtXlNHGyC2be0fMcnReRU2BOpdR+mrJ8hpYuGOZLhWyxaZEZDtj0wy0c06tDHXOY5wxIx2HfK3l+BFGH3bC3UEcd4E0xqKMfbLUMZHG2Ip8jFTG3FJTEZK42X375ZAqI4fB44E8RqAjT3EAcZTXkgjVdATSiGOfTNXs351VfGZ+Wc/x/wTgPwX2D14l23UsqHDqMXa2rWoxOrBOqcL4hoDa9EapRpaqNYNKKytUYFUZpKD7+9eSUtp2FXGMkkYpTS1KJ5LHeVaZyrhy1KAx1oQLQjKPsYbfL9m+MroZjcRajF35i/ZxvZAnHFEdslhHI8v6/0qCKJrFQDfaCJjxN7aAGHVZzauFxWqB0UYZHVlq3vSdGWacXNgFLjWJU+o2QETXA/hlmFf0a8z8s97xVwL4eZg8IgD4FWb+NXH8y2Byh343UkB7xowZM3YaM2G06CCOMdIIeJP8fY40ToWu+0jjm7p9RRBjstS+KGNXXbUUbKMGYwyhPEafXHaa24QWFpLvXUU1UoljgkwVaBPHGbuNE2qNNWdYc4ZzAdcnW1rDSlIBtI1vqC1LtYXVuZIR6jzd/ESWsHDIoyi14JNGqoillaayX2tCRg7zsBNrZ5/E+ZZIOeY3GTn9csY8r18UKhvgjTtbWczq4Et+/qKFqYtof4+0QxapLBvSWIWXzesU0cXqxpyp5n/VETgKlefQYKgiHGWEEi8rYEzDJYHEx9o6pe4KiCgD8GYAXw/jSngLEd0UUDL8VgcZfCOA92+xm1tHXVLDYoBfwYwZMw4/ZsLoI0IckyWqW8xplNfpkqWGjo11Sh2LGGnclCxuG83/L83htDkvsX2XZCpyfsw4p1WXMSHaCGxIHMe7pM5IwB6VTnTRRBtdF5CFKp1ajIAtrZGZ0hoB4xvWBCqELFVEGctaiNmQxlQZuh9p0+A64uiTs1ZtRrRJGWdZ0B01VH/RMeIZQd4c45vW/Qxp9KOe7ZzKwbedBLbshbOvKosBwCGLlvxagt68427Gop/BGIUnX7Uuq6y4/uu/h6rKY6Sy+v0pjTS1Vm1oAm/KP7Y3Nj0HwOnKeh5E9HYALwaQJH0nomcBuAjAHwHYyCl6J9BTg5HXs0x1xowWjsDcqXP2TkRfRkRXBPZ/9RQ3J6LriehOIjpNRK8JHD9BRL9VHf+QLOxNRK+t9t9JRN+YdkMk1V8E0M51tJdIqcG4QZ1GX/aYVEsxVu9xRB3GZFdQ/zoJNRaDtdukmcYIp1SnNuW2XVMFmQ/JgPvqL/aiJHcL9cFfeAjVckyo3QigVbvxsOEojU8UyOpb9sgLlp5uXInSHPUCV8b194Iz1LJUrUQtxozM48yUOdC52Zq6i2kbYEhcTaKyhuQ1dRyVyaGrSJi/2dxFp70kpSEymbAvRuyCktc6X3F3agH6hjcW1h2VisbghgrtksXSbFSU1XNJJqtz6rxHL1IZ2ry6jramY13HsYosmuvBrckIdzGzrstYYZdk8gIXA/ikeH6m2ufj24jo40T0DiK6unJyVgB+EcCPVW0ePUWH9n3u5GPOXZwx49ghOjoT0bcDuAPA7xDRbUT0bHH4rZveWMg8vgnANQBeRkTXeM2+G8DnmfnJAH4JVQ5T1e6lAJ4G4HoA/1t1vWF96COOioPEcduksQtOhGnL8xk56RorA7WTsV2MLG4q943ljm5MHC0i5DF0/RYp1JRMHA8jjsP4lIJMaaceo2NkJMcKhVqWaoljHWWsDHAsadQLQxzLZUMeU7aaPErSCLMoxIqCpLEmgNXjFFOZbUT1JImt+1P9raOLeXgsc8bJTYY5Wyoj0fAmBCqrvEWPLMotRBoNydQOcYxvHnmsSKMqDYFVBWriWMtSq9fVPHaJohyrilKh2F/ieCER3Sq2V3nHQ4Om/2P++wAuY+avBvB5AB8F8DswOY0fZ2ZLOL92084eyNjEmB1SZ8w45ugalX8CwLOY+RkAvhPA/0FE/7w6NsWss5Z5MPMKgJV5SLwYwG9Uj98B4GuJiKr9b2fmc8z81wBOV9cbhd6o4z6TxjFRxi44UbiOdzwlJ8dvkxIVnIosBtK39gXOirgnGe4yHLLELnXrxADi6CCQk3tEiOORG5/2RIRwb6BmPM880mjHLLJRRE+WLKOMMrqYNcRRkseaVC7a++pjkjha0lhFGWOksSaOcAmZjC4G1QtTFXsPoEUa/ccIKyrca/TcZMS8O2R4Y/MX6+iejS4CDUksqu3cKkoaAXjRxq7NI48271GU+5BEETDGPfVz+VGUivpSbR5h5BEb8CAznxTbDd5VzwB4gnh+CYD7ndsyf5aZz1VPnw3gXDU2fQzAvyGiTwP4BQCPJiLHMGcEdmbuBK2NBHWOOM6Y0Y/hY9NOoWsKnjPzAwDAzB8mon8K4A+I6BJM81JCMo/nxtpUBSr/DkbScTGAD3rnhiQigxGrwQjFwbzGqXIafXTlM3adP8QoJ+aGmoKQM+qmbqnyOttCyMRm42v2OKwmXyelzEbAfdXPn2wZ3gRyG2W7wf3cjUXmYzU+LajEgkqcUIUxwFEZVsp9I/JMQzM5xjfImnGEM5j/TIk6j1EakpCimog4V46U1WiPHZXbpWeeo0BBExx/vbJRIwTk0zIa6ZzTlfNt8jAd4xt7LKe28U31uizxMddoO6TuB0IOqUNQRxeLMjqZN1mrrgERDWaylaFRUTnjlgTJ+Wq3VJtua6OolXMqFuYcVqiNbzTv3GLWLQCeQkRPgokYvhTAy2UDInqcHY8AXIAqv5GZryeixwH4AxiX1G9g5paEdCD2fWwih9nvxg/AjBkz9hddhPF/EtEVzHwXADDzA0R0HYDfg5EzbIoUmUesTcq55gJGXvIqAMgvfFRt9NGVvxUzuNkmady0PIZ//qYOq5JMhpxSp0AqMdz2JM0nkX3GN6ESG1ORRrdfYbMbAC3iGHJUTTHFOcQ49OOTHJsuvrj5AO5RgbUwvtmjNc5h4Z8OAFhmJUqtnNIa0vgGQG16wyVAlSxV6WrurkP0jarPf/fnpF0S3hK0IaTRPrZ9FTmPgejixnJUa8ZjXVQzr+xHFWVziKLIq/SvVfc78bsfXbCaag5eyVHrOpJF0UzwlXLJY1YZ+1jSmGUNWQ6NubXbauCdz9i8rxmDMkAVxvyG7HVEHqM1vjGPXeMbCz3GJXVLphIV4Xo1gHfClNW4kZlvI6I3ALiVmW8C8ENE9CKY/8KXA/gecb4dmz6EaXIY933utLd8VJsozlHFGTPScQRMb7oI44/DG1yY+e+rekSvneDevTIP0eYMEeUAHgXgc4nn2j7fAOAGADhx+cX1wCgdImPkMRhtDLiobos09rmmmmv0EElxvCuiuF8lPIZgKtv6VDLX1S4lMtlyve2q6zigrbl/mxACMJ+pIdFG4KgQx0M/Psmx6dprl8E3Y0+tsS77tdgLpVEoDUWC9mVsJulVBMcSRxtlZJi/li61Y3593z/xudPV+FKf0y7TESaNgM+WfKMbP7poj21tIcmLMvqYTA6bWI9RIp43rdFypRZulrwuQIvckEaLUtTBLLkpuyGJY+s+bjkUSx7N+KQqA5yKLFbjjJWn6ryJKlqXVCzMbyBXtRg3dkrdEpj5ZgA3e/teLx6/FtW4Q0TPA/CA1/bviehaHJKxqepzPT496vzHmzfIfqZCDugRx+EZM2YcDXT9XP0GjOtXPVshoosA/BcA3zzBvWuZBxEtYWQeN3ltbgLwiurxSwD8MTNztf+llRPYkwA8BcCHx3ZEZRwtMRDNbfQm22NzGlvndLwjriPoZpP9xLrgI647bjI1xiH1INFH5AHUpg+hLbVtq10o39HLb0zKbQSC+Y29YPPah25bwLEZn4ZCZbrOY5TjiTW4seY31jEVqqrN6OQ0AnqBYK5ivUmXVGGc4zuuduY01nmNYrOEcOroYgJq0x1LUv3cRd/wZlPy6DmIxuA6i4qxv3JIbcFO3m2OWVmav1qbyJDnnmqvZa5fRjf/eG2aY/MZC64dU4HGLRVo5LVy0dKOcb5T6j6b3kyNozc2cRN9nyOLM2YcT3SNys8C8CQAf05ELySifwszsPwZ2nr5wWDmAoCVeZwC8NtW5lFJOwDg12GSxE8D+BEAr6nOvQ3Ab8PkCfwRgB9k5o2Xt/qIY/uEzUljH/HzpY/7gVgkLbaiv4tkb2xupg9yiJh3rCJCSmu88C9ux6vf+W688C9uh5owxyNGHqPEMdJ3AEfF7MbiyI9Pe7Rq7TuhCpPPWNViXKqydkqVxjfOa8m45a7MWUMOW6RxIYlfxxYij57jai9plMSx2oCGLMZyF8egi3AGy2vYY6LMR3Ot7XyPUlUeqkArL9OcLwhgUYDXBVSxxnPWn8TLv/QRPPuhu6HKtkmJQxo9QhrdqvuZv+3PnnVLla9LGt/UY5q9naaNTW+6FulSF+UmwJEfm2bMmDEcOzA2bYRonImZPw/g+6vB7v+FkS38I2Y+M9XNE2QeZwH8L5Fz3wTgTUPuR9TYznf9MMXyHKMS1R55aguePHVIPmNIOmr32fO62qRe86ijT2Kaao6TrRhvveFX8Yx77sHeaoWzyyU+eukT8YofeBW0mnaV3H4mZNSoJVUdk9t4CHEUxycAWBDjbOStMfLU7g+lNb7RpQIUB2WpAIGo+nxX0lQpSwWEWFTu9BD+dIs8RlhJalyeGr+OS8os2duGHJUz5RAezlWTy5hQ5mOXoVjjTV96F64sP4M9FDh7Lsedq4vwuq/4ZmhZgN3mM9rak369x0Cx9lqaWjIIGpSZXEYpSwVE+Qz/MyKbuQAAIABJREFULxqJKkojTwWq3+b88P4gHc2xyabi7OAsdsaMGfuCrjqMX05Eb4GxrL8expr5D4nohfvVuW3CyrZUZFXetAms4I6INAajiD1tHClZJMo4VpY6xJwl6liI8fLTTc+NYQzpTTmnK8r4gjvuwDPuuQfnr1bIAJy/WuEZ99yL6/7iTtN+hHyzT84Zizg62FK0kbjKPxq4TY2jPj75OKHWG51vo4x2EYQzONJUGWm00Ua7IbLZKKT2o44i2tgXabTRRu1F7+rnWzS8stFN9/9UObXakh+R8w4LTq7P4MryMzgPBRSA81DgqvWncPLcvW5DGyksyuBWt/HqOVIhpKm27EYhIpC+5FQY31jUi1piPNpBp9RkHNmxSS4aVGZKvI7LU+ecxhkzjha6qMP/B+CvAJxk5ncx8w8D+FcA/gMRvW1ferdP6CKOIZnqZKRxy5i6fETyfQ/RhMrCTmBSZABysvO0++7D3sqVDu6tVrjmvvsmy93rIo5uv/pJ42F36RI4NuNTDEtVIlcay8xIVBdKQykNRRzOYyTUUUZWrjTVksZy6RJH2PqKqr2FyKMjVU0hjUCYOAopakp00daA3AakVNU149nO/abEk8vPYg/upP4ECly+/oyby9iFUrTxSKPZx5UUtspl1JYsMlTR5DFaOSp5f83j6v86Jq/aXmNHFrNwFMcmOX1pmSvNOY0zZvRhzPi0a+j6iX2+L6Fg5o8C+CdE9L3b7dbBoEuuqjJ2JKrB0hs98tQ+59Quaap0TN2mhFRnVFvOHzWocvwkz3cftZLV2y6+GGeXS5wvSOPZ5RK3XzxJWVC3D/b9FxFnX6baJ1G1bQ5iAWNiHOnxaUEFzlbOVOZxU1ajrsXY82G25TUcWap1SkXlYllJU6VhJwMovTEmtLIop43S77TttMqd8lSgym0LqhmqPnWYy4whiqFxrq7bKCSqsjZkLMfR3n8XCeTp7NE4ixznCdJ4Djnuzi9sN5auqXKf/BuQphIAznJHxmplqXphyCIWBCqbci6qBMq8Gq8WbjRyV51SB+Dojk0zOZwx49giGmHs0tsz869upztbBnVHEy1ibZIkqkMjjQccidzFSc6uoI+UUwm8/6qr8NFLL8VDyyVKAA8tl/jopZfi/VddFT1n01WmUMTxuEUbj+T4lIBF5EMpjW9yf/xS3OQv1lHG5m9NGj1ZqjS4sZFHHWgHL+pYkzwpUe2INNpoY2gDXLLoRxeniiq23E+zQN3FHUOIRLNH+D5y3mW4M3sMHkYODeBh5LgjfyxuXT4hfNFgBNEji0XRclptTHCELBVoTG+EJFUa3zjHgHrBdVPzm4PEkR2b5vzFGTOONbYk4tl9yAlV7MdJZbp1zI80Au1I4qaRRolYlNG/lm9847ZpiEdXLcbjgl7Dm0g9xlBkjlnhO7/7VXjBHXfg6gfuw+2XXIz3X3UVtFKTRYHldWS//YjjmGjjuP4cXqJ52LCkEmdhoosL8bg+rgoUSmHlmeFYWSprQOusFWUEmr9A9Z3IAXDb+MbC/9R0RRjb1+iONNathPNnO79w+587G2Xsve+IvmyicPChcyCLRGU5z0BlBuQ5tNb4yUd+E06euxdX6M/irvwx+Mh5l0FnA3/6JVkEmvIcFagoTV8KAmWqMrKpIouB0hnw94l/uS4VssU4cjKPTVsCizeoyl90DleLCl05jTNmHHtsILnfBRxbwijRRR5DMtUpSGMXWoQy2KY7AnZcnE97yV+B5JqToWv5+0KkUSuF915zDd57zTVmB4/734ccTUN9NG3EvoJaMlXfSdW5Zkkbk8YZB4+FKrHyGMhCaRRKA9V4ZWWp0CayBzG2mM9QQxoB9/PeJ0uVnyBJEGtZqq4WqJqrI0QagTZx9BHLW5wCrChYomJXwZnbX84JrBWAwKCjFDQpfHjvMnwYlwEAiKp3JM+BvIfByvxGSRbt36Iw1yhL84GpI4ryLxmybNc6hPEN53CcUlkBlB/uCOORRVE4+YszOZwx43hhJoweYnmMfrRxDGmUGBtl3E/IaKTOTV2towQ7OU4todGct3kOYNeCQOiYfz+fOIaijb2kccahxYJKrMTwvcxKlFqh1OZNl+U1VKahNdULBQxUbM9+Btqk0UJ+L7oIJFfnWYIocxndvMY2aSTdjC+pUcRtGdwAbpTR9kfKU7dVg7G7T/2/AZwpUKYrw6DMELmiAC3yenJPixzYpNyP54xJi9xEH4UU1uR/ZlAlQ4OgCtS5jKokaEESm79i0WvsKjwfzO/kscac0zhjRhr48Kv7jtUyHoHrXJ9M9ecx9u1LdlCNHOvKZ4wRkliJjTHwI28H5ao6NaaIrMqJRzCPcCDhsjmDY3MHY+f5fZOSZb/8xiR5i7vjRHissEdNWY0T3spNLsYym8doUY9ZlfmN45jquKVyyz3V5jfKTR7z8xl911Utfl0cB9VATqPNa+wjgvvlhho8rujAHaCHlEQypNEQRFrkLlmU0UXf6MZHwOimFXksRYkNWNII4YwqDHHsR7I+Rs5f4EgY38yYMWPG1kFE1xPRnUR0mohe09HuJUTERHTS2/9EIvoiEf1o372OdYRRksZSt3+Jw3LUdl5jJ4bmMx4TUMHJky/jXLjZ/yiWl7jRNTskpMMJZXtfiMCH7hmKNg6SqM44tFiqEquKQWVK186ppryGgkYlSy1hSCMAaBsRdPMYDbiKuoc/v7Hoo++yKnMZrTxVwnyfm0gjlVwrKaYihH4u4hBsPN6UACI8bKiiIQbOCFozkBFIVbUvc2VCwbkpdVGTQhkJipFF+Tilhl5Zms9RHWUsAeSgQgPLzBjfLO37YHIZbURRlUC5gGN8w5gjhDuNUgfzF2fMmHEwIKIMwJsBfD2AMwBuIaKbmPl2r90jAfwQgA8FLvNLAP4w5X7HKsLYha6oYzuy2I40Sgx1TnU7Eo4yhshOU4SbneehNrHjuwJVtP8nvu39fkhiY9GwriiZHz1MIYspEbiuNqH7OHXNPCfVkIvqLi1U9K2SEdGlRPQeIvo4Eb2PiC4Rx15BRH9Vba/Y357vL/ZUE2lcii/EUmhdFtU4Zt1SZU1GAHUuY+2aaiOLTnSR3f2t42gij3Ajjjba6EQalRtlNOd4kUYRbRyzuBMbH2w+3Vg5UFfkcT+MeOp7qfDjIKws1UpT81xsHlm07ZzzxXOR58jroiaTXBRtYlm7pbL7PGB4EzW+2aQW46x+2A7Y/S2WsmROWVyYMWPGNsam5wA4zcx3M/MKwNsBvDjQ7o0Afg7AWac/RN8C4G4At6XcbCaMHmLEcWrSKDE02jOlLPUwIhQ5CNWODE0Q/eLRzTUD92mRrNQehjFkIFBa47o7bsMPvPdduO6O26C0jhLHrj52SVTHwl5nyNZ5vWaV7JsAXAPgZUR0jdfsFwD8JjN/NYA3APiP1blfAeCnADwXZvD8KSK6YPNXuds44ZDF5vGi+oBbWaqiasJuR3opTfVJYxdxDBFIjzj6ktShpNE+txhLHI86Wk6rmZHK1qVAbN5lnnmkMQuTxS5EjtN6heeWZ/Dycx/Fsx+6G2q9EmU4QsY31Xk+WfTH4/Lwl9U4NvDyF2cTnBkz9h0XA/ikeH6m2leDiJ4J4AnM/Afe/vMB/DiAf596s2MlSSUCFrk7o14X4R9ESxqlVLVtfONKVn0jnC4TnE5pqjDAGSNZPSiTnKkwRK668b0GG94Mj9SmEET5fimt8eu/+RZce+Ye7K1WOLtc4mOXXIrveuX3OeU6agmqJ1MdKlHdAdSrZABARHaVTMoqrgHw76rH7wXwe9XjbwTwbmb+XHXuuwFcD+Bt+9DvrWKPCpzlJfbUGusyxwm1xtornyGdUpdZiYe1qqSpCqpyS7Xjlso0dLVGWNnNgMC1PBWQi1ex759cmAksVnBFFGFWI0PyVClfJe3KU4HGMbU2npFy6sRxbRM56lbgOv9E4bhbK3Fa/Z1uHFK1LXwvXquUpRJKMLLwOymIIAecUska2QSiR4o13nTuPbhSP4g9FDh7Lsed69vwur2XQBcleJkHjW+sU6oq0Wl8wyWBjtXM5BCAMctRZ8zYf1xIRLeK5zcw8w3ieWh4r38QyFhi/xKAVwba/XsAv8TMXyRKm2/v1rTxALDIy3oLwY82hsxw3OPjTXD6sGOT/CMLR9oZeLtTooQp0cRYBO75f3UK1565B+evVsgAnL9a4doz9+D5f3kq2k/zvFuiGrr3jqB3lQzAxwB8W/X4WwE8kogenXjukcIi8KGyxjd2vJKyVMCMW6TQSFMDkUYbbQxGHAOS1FBUUkYbx0QaATfa6Es+pxoDQ4oEc8/xN/AVDVM64vlRRf//ojOq61baKCNnWRV9FJFGIT/lPAuSRXssBFrkOFnchyv1gzgPBRSA81DgqtWncPLhvzFtIsY3Zl8lD+4zvtnAKXXwNmMQ5kjijBkjMXxsepCZT4rtBu+KZwA8QTy/BMD94vkjAXwVgPcR0d8A+EcAbqqMb54L4Oeq/T8M4CeI6NVd3Z8piECMOIZIowo5EdbPO0hjqjT1EJuSUCAfcZN2MYQmZEFpaeLvWzSXMEKsxmjPU2Sa1zxwH/ZWK2ff3mqFa+6/PyiTdYihl5vYldc4CuNdUi8kolvF9ir5MsJ3cvCjAF5ARH8O4AUA7gNQJJ57JGGJo81ftH9DslR/zLKQpLGTOHZIUkMOq1ORRrtfIkQak/MXB0Ye+whkbyRTN+RoCFqyU9knmcuYUUOwK1mqedwmjf5m8hwjm4WUtFZ4Mn8ee3D/4SdQ4PKzn6ojklTo6q8053IVEPV7Ioxv5N8Zu49Y/uKc1zhjxr7gFgBPIaInEdESwEsB3GQPMvPfMfOFzHwZM18G4IMAXsTMtzLz88T+/wzgZ5j5V7pudqyEHwSuJ1FFR46EJY1Srpop3XJSlRLVlDqNzcG4NDWEkCyVczZSwwxRgtJ57JDLVsdgiBTTl55uKuPszeMT79Opiy7G2eUS5wvSeHa5xKnHPd65lut86vVXOKG2jnkS1X3Cg8x8MnKsb5UMzHw/gH8OAET0CADfxsx/R0RnAFznnfu+ifp86BCSpeYAVtVYRgpQaKSp0GTGICsDrWbvtTDVH3echSx/3GrcMGV90zHyVKDxRlFlJcWU0suO8WsbclQbvTtI+LUYa6KtyDiylmxKf2QE1NJjXclS4xN4dmooVu0yMufJkhp5DqxWOJ09GmeR4zxBGs8hx92Lx0TvIZ1SAbRcc6c0vpmxBTC7ctS5/uKMGcPA/cq0wZdkLqqo4DthfgVuZObbiOgNAG5l5pu6rzAMx4owSshaZTHyuMjLFmkE4nmNXaSxixjKY7FcRovYRKkv17GLPO4KVMHQI3IXQ3mFXbmGqjQr+LZNal7iGNLYRRRj78cHnnw1Pnbxpbj2PpHDePGl+JPLrw5e2/apjzQCzfGNI43Tol4lg4kcvhTAy2UDIroQwOeYWQN4LYAbq0PvBPAzwujmG6rjRxonVIFzOsdSFVjrDEtVoNBLAE15DStLXWllzG9szjWUSxphqB+X1IwvmUsc63Z2jGFJHhuSaElj034caXTKbGRh0tgHabZyVMDK/E91ZqpY6LyqZgEjS80KrqKMuhlfKvKXdP2KPFriyHmVA2mJpFK4dXEJ7sweg6vKz+AECpxDjjsWF+HWvUtNG+mUuqieLygcQQyNjyUBixHv3RYmZDNcxOSos0x1xoyDATPfDOBmb9/rI22vi+z/6ZR7HVvCKNFFHn3SCLSjjaNIo1efcSocBmIo0Wdwo0qGthPIzJgnbKtwN+CSriARTSCNQ6KJIWil8D3f8X14/ulTuOpv78cdX/l4fODJVwcNb/w+hQxx/JqNu1ZeJXGV7DoA/5GIGMAHAPxgde7niOiNMKQTAN5gDXCOIhZU4iwWwWO50rUBzkKV9Rhlo4xFqXpJI4A62mj2iYm7swDhE0e3liOV1FrI2IQ01lfuIY1hB2XbfytPrV7DhpL44P319N8vrVxZqzW+kX+1ZigYt1QU9n8u39sBcpKSwVkVlbT/TxuFLArwcomffOQ34eS5e3F58RncnT8GH3nE5dCldq4BNKTd/KXa+Ma8sKpvJcCVCQ6pxvhml0BE1wP4ZZjx6deY+Wcj7V4C4L8CeDYz3yr2PxHGxOunmfkX9qHL20MVXZxlpzNmHC/MhNFDSLKaKlG18EmjRIw0RqOMFca4pR5m9BFJSyAlLLl093XnA43q20gpb3ctR/c5Q+H9VzwN77/iaea5CreviaFHZF3iOx1ppEBfp0DfKhkzvwPAOyLn3ogm4nhscEIVWJeZ65SqSqwqJ1WriAgpKKxjqkI1Voncao/6if1CEmr3Rd1Vh49XOguTxvrYgM/dYY4u+k6plk1rNNFEVgBKT5ZajX8KAGufhvfD5h0iE86rVppqyUElS9Wk8OHFE/Ahehwoz0G2bosgEb5TqkTMKdWcR+AxEcYtYb+LY+8q5ijijBnjQTj8aWDHyvSGyLgHyi2GPGAQ4RviSDOcrjqNvgnOIOyI+U3IVCK0Qh/cV+p6Oyj0Gd9EDW8mIEcxI5whdRljbX1HVzkgpZrhzNgdrDlMshY9H+ClYFPLrHTGpjzTJsqY6doAB3CdU6V7qtwoazZpeBM0yQE885vmcYoJjoU0wgGax6FajX2IRRclnDqBkTGqi4DGDHc2RWihSy702ONWcaEzNDUYla3LSNWm6i0GzpUxywEawxwL4a4KpUCLHMgyUN5ec3byHgXs/6nPKRUYN7EiNtcauiVgX4tjHzbMRHLGjOOBY0UYQ+gij3mmW8RxCGmUkKQx5pqaWmajXlXef+OSIFSHtMufgIUmZJJkdl0reO8IEYv2pzVJ6T9/LLnqI4pj0de/GGk0z2fSeFhwlsMCkD21rh/LEhtLj7kslCGOC0sWO0hjkDgCveRREkfHWXUkaXTcUVU3ObTjoE9EWs6oAWxDjlpfe8s1IOX/Rf61xjw6M9LUhjQ2xNG0VdENQJs02tIcgHFL9UliFmC2FfzSGklOqbvxsyaxr8WxdxoJctRZqjpjxtHELEkVsKRx7UlN80y3JKoxeWpXPuMQDJGl7nfeYqyGWSqo1L129f79fKnpttE2kEmXcQ6NVqa+d35/5L4uiWqXGc5gzMYSWwFvMEu2xjdAU4/RylJDqMezanyy4xQpgHWz8CXzG6GpIZGVs6rpN9UmOYxqQYL8vMbm8ZB8xuYzbZxTR8t5EqOLIaSOVVPnLvqy1FpcKr57UpZqzW+MrJea9vUagn0N8X+ikfmLvMfCa1vnMZZ1lDH236OyrI12qGBgacliwCk1ZIYzNv1i3Gdkp4pj7yR491j8jBmHCkdg7nTMCCMjr5JAio4J1aKypJeYgjSmGOAE3VQDbqm9r3QHymZ0SVD9iVgoZ9Hf12V8M9QpNdyn7vYhwxn/WN+5Q85JuX+IOMZIo9tuA9I4Yys4G5GjhrCgEufE8C3zGAEjS10FzisAaK0c0ighSaISs28dEqMESnLI3MY+0thR6cGcIT7H9S0Tcxm76i7GootTSuZjBDKYUy3/tV4X/Nfr5HkKgmjNb8wl2CGNVLAoCxLJrS91fb4kjk5ZDks+bbRxtTKkMSJJpEIDy6ptzCk1YHwT8XTaJrpK/gDDimMDwFfCFMd+EUxx7JcQ0c8B+HIAmojO9tU720kEoouzHHXGjOODY0YYG1jiaOETyFC0sY80SgwmjQEMNbo5aGOcqWReY8trAOOMb2JEsWt/KoYSxZb5Tcf9YxHQGGlstzvEK94zWrB5jLa8hg87prVII9AmjlXE0aKLPEp3VQLXbqox0mg/v5b8RKOM/nchYREsFjEMOaOm5C7GrmX6SSid7xa7Re/HwL74BNQ1K0WUUSFMGgGfOIp+a0EQK+IYktWGSmxAa5PPGEFdWgP2/904pcaMb2yUeofQWfaHmf8OwIX2ORG9D8D/z967B0tynXWCv+9kVt3bt6XWoyXLbUk21sNqvwgRtKTFjBnA9qzZ2cDeXS9gg7F3Yb0sEDsRBAy27JhgAdsaZsGzsRAz42AA24xtXsHimDEwWINZhhnL3bP4gW3JaskPPW2r9XKr+96qzPPtH5kn8+TJ75w8mVV1b92++YvIuFWZJx+Vt/LU+Z3v9/2+ny1dUl9urf8FAGf3JVmMxChHHTHiwsWBJYwufJFHN9oYIo0h59ROrKjMBjBcstrHldBFzACsrzS1vX/bKTXYPitnsUsSJRHJRaSo7esbvs63LTq66JBGwC9R7YULQFaxHzD35C/aMLUYXaRWXrUdZTR9U5roFmlUxNBMYh62TR5DklUTbTSk0Qe79qkkTTWEyY6mFUQzrpxGTBmNoS6qLdWD9vdBlAOR5Q9F+GSptlsqUEcZ3eQ/W55aHqJ5feX9MCTSEMc62uiJMto5i1lWFHRXqp3baM4j3GsqI45K15MDeVqSxaEOqSvqm3a7OPZaopSkjtHFESOGY69Vf4tiJIwOJOI4lDQOjTKGIo/VzP0aSE6XAZs0hmSpoTzGGOK32DX2l7YOXRd77Kjookt+A3mNI/YnTGmNLkys2Z+5IYrle/Mj0Ci/4THwMiTREEepJIchjSansa80VasmcVwEMXmLXZNbpo8iLUfomudDI+qo8tLQB4ivcuFEGSUZbv3s1lFGoBllJM0WmWzeTpULZYusfMcWaSyJQivKCBRksesjlaU1VFbXYTQRRZUD+QQN45t1S5nbzeLYI0aMGLGO2BOXVCK6nIj+gojuLf9eJrS5mYj+MxF9jog+Q0Q/aG37HSL6EhF9qlxujjtvMXCyFx9cyarrpBpyT/U5p4ZcVIsGggzI5Jl58s120ylVLIrtKaOxKHxuqeEoQ9y6rn2HHifkihp7vFjr92B5Dee1W3qj6xoOOvaqfzLwuaP6MKEcU5VhonJMVfE6Vbp47ZTYSKx+zPRhynpfrSOGojJCZ9xTrdeisypQuakaB1Xjnio5pxpIrqlD0CCCTj9hommuDFV0be5p6tXZXgOCCXeBjs/qTuq4JUiq9YlxSi1Io3FNZUXQ5r4mVC3aWQBUBNK4qzYgldmQHFMNcm79D2yn1CjjmxEt7GXf1BVdHOWo+xOUJI1lxIrA9Xgsdlk37FVZjbcCuJOZbwRwZ/nexTkAP8rMLwbwagD/nIgutbb/HDPfXC6fGnohIfKYJrlIHOvtw3/dvGU2AuuWhWUUsnfzFbvyF1XG1dI6ljVoi82D7Fv7zDc30KsYeM+H21c30V0XUxNM2t4igyGi6CGNI0Tsev/EpeHN9orCvgVRzK3XdbkNU3LDJY5VCQ6zlOTQXmziGEsaq8/sltqwYJfZMHUZK0KUmPy9NuxnxJWiduUsUs6oyz7Ur33tG+e1+qOlPF/OL7NLpEP3pUEaG+U2rPtskcdim0waqxqOdqmN1Pln+Ugj2qS8cU8F4xvzd2h+9YrqMK4T1mbsNOLCxEgaR/iwV4TxNQDeV75+H4DXug2Y+YvMfG/5+mEAXwdw5SovKkQcm+1k0riqKGNf7KXUUBpYuSSxb63FEIkUo56hKKSp2Sb8G7qijH0QE1UcMmDxEUf7dYhEVq8XGNQegEHZnvRP84BLakxOows7ygi0SSOARrTRJo4xUUf7bxRpLNGqz2igZPLYGzYpiSCLLjl0t7XWZVz0MSuut2h+ncX+XMn3ySWNxf51tNG0kcijiTa2pKqo21VRxiSpo4xAkDQCcPJHrY9hkUTzdzTjCmKPxk7W8ztGFy8Y+MjhSBpHSNgrwngVMz8CAOXfZ4UaE9GtAKYA7rNWv7OUW7yHiDZiTqrAmCZ5tfggEcdlksZ6XTjK2AerIomLFqH2kUN3vRRlbBFNa/a/dbwF5Kg+DN0/NqrY2k+HF3d/+xjRRHGMNMZgT/qnZcHIUhvrrP5LIo0ucQTQII9i1NGKNAICaXRBHqIoRRmVX34ZA9WIZMlkMUQUfXDzH5XneVq035RgoozaidLaUcZ6fU0a3WijRB4BNBxeOaVWlLGCG2WsSGPHj1DO1f1TeX2PzM+k716OaGBf900j9g9G0rh8dI3xQmO+dcDKTG+I6GMo6hG5eHvP4xwD8AEAb2JmcwvfBuBRFB3hewH8PIBf9Oz/FgBvAYDNqy5ubLMHUVKh64nKq4LYQEEafWY4thFOl3OqbYATgjG/qcplJE3L+mUjhiCFonetthEy1aHlM4r92/UYJXQZvNimOYu4pMZGFVttIjsG1+3UHE97rjfWDOcgYh36J7tves7V/n/Ito4rTGdIYqPPKkfjM514azMChYPqxJNol+WqijgaZ1Wz3nVW1VBQ0JU5js8Eh3TTDMdE/qHKWIb1nOik6QpqQ2Ul8dPcjryHJqV69GPGjdnn6mw7pS6ltIaN0gDHdbo2xkBNH53ibhvXUVN2g3RphpOhcZ22O2plrJOUpTjEshql56q5DjOgzPNusmh/pA7jm8EDJWO1u8+xDn1TuX89dqLDAMbo4ogRBxkrI4zM/ErfNiL6GhEdY+ZHyk7t6552RwD8OwDvYOZPWMd+pHy5Q0S/DeBnA9fxXhQdIy656SrvKMGQR5c4dpHGPpCIou2YWq+MK7Gx106phhBWsi9rQBYrO7VJozQgM9slB1UJITJkyJVbXiPmmID/uD6i3UUWQ/87M4CWlIgucTTHlUjvskkjLTKgWyOsQ/9k900v/dZp64HZ5ilmEf+kDZUBGpg7bacqw6ycUZmqvCaNeVJNZJn+zVZD2ORxbhFEoDbSlOo46lwVfVyANJpyG/VzV5BHE2WE9V22nVI5ifze5SxGF03f5Jeetg/ep+QP5Qy4Ds+63zNmT/z4ZNzufbFR3FOZNAL15JpEHEXSCJT/8IKa1v2gVWJDQkkgKc+BjECJAiVcOaWa85Ih1lYuI+Vl33yAOcg69E1l23rslBxdM9/aEYsiJoJISTJOCIyosFeS1I8AeFP4KPQ6AAAgAElEQVT5+k0A/sRtQERTAH8M4P3M/AfOtmPlX0Kh4f+7mJMSdfd5klw1JE/tK001kCSqqzC6WUYkqa/BzDLgy1sUbfJ75jHKx7WP57mmXF58bX3HB+TBL2X1Iq0j5/8gyVSl88e8HtHArvdP5tu6zSnmnEY7pW54Hs6p9WUwUUazzs5pNHmNtgzfrAdquarkrGqkqgAqiapBQ55qSVRtA5xqnSVRbZm72DLLHr9WlHGQLBozFp9Tqt2mta/mOo9RQExf0gVXngu08z1dYyAD2wSnymks19ky1aqt46jqQ8P8BihkqSaX0aBjEGpLUQGrD2vIeYOH8IJQyFv7LvsMezJ2Asbo4kHFKE1dDsxk+36WpO4VYbwDwKuI6F4Aryrfg4hOENFvlm1+AMB3AXizYAH9b4joswA+C+AKAL8ce+JpZT1fL2I7gTTaxLEvaTToymXcD4hxRG3tExic2e1jS3KsOo9xETLVlyxKZNB7bJdQOh1LX9I4QsSe9E/Lcki1+ykjU/WRRsAliG3i6JJHN8/RJY2+yTDXAMcus1E0qomPS44MfO6oPriEL0QQY47R2tfqhxaZWPMZ2NQHD7R13GSBZk6jTup1ALzEsXF8ywCnVWbDLbEBdBJFFz7jm/r1aHzjwZ70TVJdzJEsjhhxsLAySWoIzHwGwCuE9acA/Hj5+ncB/K5n/+9d5vXYpHFm/RpLMlVbomrLU335jAa9cxlLWaovj9EGpwzKysHAgvmNfSNzBqFBWNuVsHhvD0KkfEYjQw3JUofmMUqyVDcfsC8kIhYycvCRRIn4utflSlZ9n2MVuYux5Ha/Yt36Jx8mlMfJUMt1qdLItGrIU4G6fzPE0EhVDWzJqpTrmKH+IclyBZSE0StNzVFFGUnXJMY8PzopIj/mr1nn5jG2ZmBLOaodXQSaZNEFZXK/ZUfSuqBywO3GbTmqypuR0j6oZKLmuspcRiNN1WjeI3Oa4vyWHNVcK2wpKuT8Ri3/BhTbVX3PEgIjKY6Y517SWJB0Kn6jEgYmxXlUDrAq3isNwMpjHCFjv/RNIy4sjNLU5WC/T9bvVYRxbSFFHEOOqr5IY7WuZ5RxlfUXF4E396ejZEYfIhmzD9AtSw09lH3rLi7Stg9Z7CpB4dvuRhvFcwuv17Uw7IjhmJDdF5WRxOpvO9JoRxttKX47slhLVt2II4CqHIeBHWkUnVOFKCOAqi5jcRDnbwdkdYFukUXKdGPxwd3eNMzRLVJVyV9XICOqJos6pKkGbqQRQDDaCLRLcEhRxur4EWSasvIfIvXVmpt1K+3/nTZtOk8hQw9YRvTGSB4OHkZp6ogDRRgJzcGRjwhKUlXJlj4ESZoam8sYA16AWC6jLl6MqU2M9GuIUU69b4c0NjJa6iNaxTnCxMq3vS9Z7INWSY2BpHHE+kCjmb+4zdPBx3JLarjrU6VbxLEPebTXu6QxDfVndm1GAHYuo1un0f6rJaLUAzZZ7L2vRRxtAlps8+cxFu2tbQsSE5c0Ntahmc8I1KTRlNwAmqTRzW0EupUaQVlqx2CydrJlZ535AKjJ4tg/rTVGsrj/MZK/EUNwoAijhBB5jCWNMfmMBmbgFUUUffXMVoxl/GD3yROSSGM9yGvWZOzMn+yRx9hHWtnH8CaWLIoRQ895OklpT9I4GNyMdsYuI/pjxgm29QTzCAMcyfzGjTIWr+t2NnE07WLIo5vnKJFGb5TR9GlOlNH8jSGFrvlNQ35aylENuWuRxZzjlj5w6sP6JrLs+cJGiYyGYU17abXzmARJpBGoSaNtfGMfzyWNUpSxvr6OmozSfXGIumR8Y+cxuvdnxIgR64GRaC6A0fTmwoJEHBcljdU6QZpqYMijT5a6LjJV32y6GZSFIoSxUrAh1yIFVEI1EbsIzCIEJ7SvSxYb2yIkohJ5tAmZbYjTRRrHAdn+wjbH1WI0slRDDG3SaMtTJeIYQx4BiNHGGNJo4EYZgTZR1Enzb8wvlbd/ssliLBzy6EYZJVmqeO4l/Oj7SLTPGMiQRts9tUuiaq8TzzVAlgoAFIhG2UQRqAn14P53nMxaOcbo4oiRNK4XiOjVRHQPEZ0morcK23+CiD5bml/9RyJ6Ubn+VssU69NE9N91netAEUYirgZL7qDJxjJIY73OP2LoK0eVZKh9rOb7IOaH1Bfta5ncCATRXdcnyui9noGGPUB7YLeoTNQ9ZhdZFK8pQCJDTqxdpLHrvCN2HxrdRlU7Oo40umi6pjajjX3II1ATRzvaCDRJow9SLiMgyFLdPMYBqEidQxYpz8UlCE+krFhX9k1mMqq8ld7+I3CLQtFV9hBoTprrKnMdixDGkMaGS6obZWxcRzO62EBgIFm5ZGcFCbfzGIv/VXnZ5r6txxzpCAsjWRwxYr1ARAmA3wDwfQBeBOD1hhBa+CAzv5SZbwbwKwB+rVz/dwBOlOtfDeBfEVFQznSgCKMEH3F0o41uXmNXTmMoyijlMvaCJ+LoDjhWQSa7JKHt9mFjicb72JIajTIci+UxhmSpsaRRJGMRZFEihFIU0SdLlaKN7jl99vXrhq5ZMqvd64iIiehE+f5biOi8NVP2L3fvqpcLO39xtgQ7W7tfc0ljaxIsgjy6xBGASBo7o4xlLiMAUZZarLcurmctRl/pi2C0q4tEBvoR08fERByL9lHNWliUNIbyGovjkHx/BVlq/ToJy1KB4L0T8zzXUIp14CHV1dgHoCSJXkYANEkbi7fdeL8GYQXqh1sBnGbm+5l5BuDDAF5jN2Dmp623h1FOxzHzOWY2P/ibiJim25OyGusIM1CaOZn/0yRvlNXo2maX2qjXtctsGJjSGvVfhs7rchqmvMZeoE/Ezo0KAmGyaLeR5E1VKY1cgxMlltRotq9NG1QulKHIa0t6TjxtdHtAKrVzt7c+UyRZdK8vBqZdo0RI7lj4mzIagdIhg0ts8PIJpzVL9ioADwI4SUQfYebPO+0uBvC/A7jLOcR95SzZBQUpf9EtoyHBLrdhl9kwxM6UBXJJ40zX+9Trin0NaXTLcszyuuSGXX4DqMttZLmqyzokZZkNXZATQlEmiBMGa6qfU1M2JgFQXqZUWqOCQNoo022yKPVpntqOZh/b3KXu04qiFqza/w9TUqP6mwPo+6zZl2RdcqOsRl5dRkEaUa/TKCWe5XbTvuoDVXESU16j2jcATgk0M0Rf9U4toLyYKFB5+T9XXFyDna+ziPHNCvqmEfsTQwiNvc9BjKZKBNGs43l7Zn0stbEWuBrAA9b7BwHc5jYiop8C8DMApgC+11p/G4DfAvA8AG+0CKSIAxVhVGBxdt2GFHF0I40SJGnqMqOMe5XHKKl2VSPCJ38OcTCR6WIJtO0sqWGduzN6uKS+rM8M0LLIoiprytmLu4/P+bQr0hg67x6hc5asxC+hkFRs7+bF7QYYhG2PuU1s/qJkfAO0XVPtMhnNdjlauYtO5NFEHKt2QqRRQkyUsfGaBBfQSNhmN8X7PGxm02F4EyKbFUHtMLzpBZe/UnOdL9LorpMijfb+xWtLimqcU1VTlmrDfR/8GFkelPMCaOQx2gqIMbdwxBAsK1p4IUcdpc8ViibGbB+xMlxBRKes5S3OdqlDbv0IMfNvMPP1AH4ewDus9Xcx84sB3ALgbUS0GbqYA0UYbUiDo+b2ONIYK00N2s0PxCKlNXYVLlEUiKM0oJCilnV7WZYqDdj6yFIXMamI2VeSmhr4yKG7PXS8uq3/+vZoMBbq+KRZsqvtnYno2wBcy8z/Vjj284nob4nor4jo5cu/9N2DT44q5S+Goo0TcsmgLL23yWOIQLrHaMhUHdLok6Ya2LnbjRIbjizVIBTht9GSy+fckJZSlrcWEQKBtEkjZdpRUkgks1/fHBXt7yCN0jrt1Gl0y24Urz1SVDjHc685ZHxj3/fytZTHWLcpc0H1SBZHDMMqCN6FTBwNYsmgGIG8wO/NUsEYUiP2MWY+YS3vdY76IIBrrffXAHg4cBUfBvDa1qUxfwHAMwBeEvoI47RBCTMomlm/jracC2hKUI0sy11vIElTXSRKI9fKK0uVwAmDPNtWBWnwYw+S2iY1Djn0IdOANegw8lQjQ5XOGZKl2hgqSwVkaWoXuspntNo762JrRtptTV6RLS+V5KlGmmquk1W31NYHEq49Eo8x84nAYV1UN4SIFID3AHiz0O4RAM9l5jNE9O0A/h8ierGj2197MDdvQaicxnak+Y0tTTWQ5KaNfZwvqytfnemk6hdTpSuJKoCqD3SPMStDXYYo5lrV5jc5FTnZZZ9WSThhyVF7fN/EPihnLzm01wfLQyQEyvOmPDXnBtFTOeBmHhSSTyqet5g+pat7I1RPhiRPZciSVa1KzmjJU4GiL7D7Lp0Ayj6JQUIVeeZE1QQ6oeb/J0kaZLFCzuJoQ2UopKkTakp3B0zcERab8Buxf7Fq4jLKLwvQJG3JU8d7s6c4CeBGIno+gIcA/BCAN9gNiOhGZr63fPsPAdxbrn8+gAeYOSOi5wG4CcCXQyc7sBFGH3xmENX7DnlqTJQxVGLDRh8ZKqerjTb2ITQVYnJcfFKlQKkOnyzVo8iLQp+ajK19I8miv26jLDftqsXYLIJdb5cijdLnW6OZ/K5ZsotRzHx9nIi+DOC/AvARIjrBzDvMfAYAmPm/ALgPwAt25aqXDCm6aMtRY/IXXVnqhPJWtNHAdYyWopBu5NGONgLtSKMktXejjFVdRjT7uKY0tfOjxsEmi3neXiwEI5D2M9p47sp+akn9kAu3FmNx0uZ2oDvSWF9cvc2VprYiu6krWQ0Y33jgEnUyDqk5N/tGIY9xnTDUut7a/lwiOktEP7t7V30wsFtRroMQbYzBGGkcBoKcahRaulDmHP40gD8H8AUAv8/MnyOiXySi7y+b/TQRfY6IPoUij/FN5fq/B+DT5fo/BvCTzPxY6HwHKsJIJOf57LhGNx3RRinSODTKGIUBxjf2TP2q0MwTEmb2xX3y9gDDijT6THCkqKMdcSxm+6XXwwafsVHGIWTRlaFK673ns6Mv1v5utDEUaRwSQV0xgrNkzPwUgCvMeyL6OICfZeZTRHQlgMeZOSei6wDcCOD+3bz4ZcONLg4tp2HDJo1dxNMljTOdNgxz2hNlKbIyfDZNcsyEY3qjjKX5DRIGZWVh+YRBbn9Xyio5AVgTtGbv81L1RTYhzPPmX9MHue/dY5WEh9OkIJ8o+i/Tz3GSgDSDSxZHmhtkaihajteWgqB4YTYIkUbI0UfXCKdx3FC5D2VFFy3jm07keRlxZCAp+3a3D8+b/2uVF0R1uOnN8idOI025PsjM/7Js//0orOtfbW1/D4A/XfrFHXDsBVG5kCJqPjmqua99PueFdF/2E5j5owA+6qz7J9brf+TZ7wMAPtDnXOs1bNwjbKhMJJJStLF6Ldj1TSuzm/goo5mRNwOp6NqMC+YvDpHu9Cqp0SqZUVvVi7b1tvGNVSR7oWuwUFnft6J09rGdc2n/fQpta7UdSBaD5jp597GkY4ZMcKLA/WfJumbKImfJfPguAJ8hok8D+EMAP8HMjw/8dHsGDYqKLsbIUX3mNwYm6hhabNiRRzviaEcbjRGODybKaGCb39QrnZ2oHQkTj50LCohGRNAhi+a19D4QfeyEcw29I/gRPLMVcaR6PVBGFZWwroRthCNJ0tmzvhMdJLkrj1HlNdlbtOrUCjDYuh4AiOi1KCaxPrcL1zpiF3ChRtTcKKovqjqa4BxMjP91C2agZUcc7VxFH6Q2E5VjrpPBUUYpj7EqtbGHcCWikmTUha/+Wcu23slptM9hl9iw1wHFYNFE2LrKa9Tnjo88RhPDHnmLIbIo7Wuvsz9TM5LI3kijr4zIuqBrlsxZ/93W6z8C8EcrvbhdRGx0sStKuKGylnKiD6SIpF16yPRvdt+XWiN9X5RREQN2zrZOClmqRiOPkQUJdhdIczPC5MpRAcC8N/mKoQij3W8lCSjLwUiKKCMSIDVqhnIiyyJNpqRG47WJ7nUgpl9qKEjKlMPGOqvcRhVpBOp8Rt08ljmQuX9FlLS+l3b0st6vWVqD00Qk1pTl4CSNz2OcrJVcHljAup6IDqNwJnwVgFGOukT0JW2xJEcqIeE7/4UUUQvdTyniOOYz9gSv15hrCA5UhJHAVTTRF1UE2jP0DVfUjnxGKfK4CGLyGNdFXlgNHhplMrrvh9QmFGXsfV0dlxCKMkafo0feoo8sxhZrddv5iKi7PZTPOGJvwU54aWh00Ybb1/VdDNzIox1tLN7nzX7Rk8+orPeVksKKMHLCS3F+bsniXbJoXjdyFNtRRfEYwnncPmqZskhWzaWxzTO+c3MXG+2cfMauaKI05xBVWsON6lrlNUJ5jMVJuw/vg1F+9FmwWuv6/wPAe5j57PBPNWIRdBWhX7T9fkIjemh9xljy7bYb8xkPFi7Mp6IH7IGRPSPvRhsbrqiefEYXbpRxojTmWiFNNLJcYZLmmGdJyy11tzCcHLkmLT7jGv8gy2vJ3hFlNOdn6bUnj7E6hhWBWyZi7mNN2vxksdleHnTan8mOGkqRxlAU1XZO7Ys1qt94QWFIdHGRKGIXpL7ROK+aPtCONBao8xmBpjw/y+u+T6OUpZqcO9X+XnGCYlg+4PtGLmHJciCzHtQ0rdfb7qgSabTyHYu4WxllTNJS9VDvLzmlDoU0EWjWGXJVRRWdKKPrkgo0o4RulDEKllNqFEwOY4kif10YYFp5jHtkfBNycAaGWdf/i/L1bQBeR0S/AuBSAJqItpn51xe54IOOaIKzAPELFa23r+OgRdTczzxGGg8ODjxhtCFJUm1pl480GoQMcPpAJI6W8U1XaY3dKL3hjfz5XE89dRcNcWyY4ZSkUTLAiZGldl972ximeW3xZMoli1LkT8wl9JDFruhEUzJmDQBbRjdN0thVSmTE3kJbQYxtnlRk0Y0uxjilxqIr19E3geYjjYCJPtb7zVCX5kgTjQwAcqeUkKZKjmrqMbrGN7qUdPbhYsG8Q0Me07QtU3XRYYxjIPVBtjQ1BrFt7XIYMaSxUW4DaBCyal1xxcVBrFvHCTVqJgbhDhJN7iJQyVKLPEYCZUVJFUqKFioH9KQ2vlkjDLauZ+aXW21+AcDZkSzuDpYVJYwhjvsZLfKdCvctCxNCH2kE+hnnXOjY75PtayJm3B0oYhxKZo1FgjuQ2nDkVi5CMlQzw55WhjjxJTZUjBx1QQmXGpArJKFFCBsFs/3TxRQhX+1rfqM88tAQWhG+mKhhBFlsbm8b7/Qhi41z5818rUpuKshTXeI6SlPXE3NOe0lRh0QXu+T4XW3NayNRteWpPtObiWrKU1PB4IsSjjLy6j3Zked1dFHrejGwB0JGpuouzvHqvEjzfLFIqBaRpsakGdhtKqIpmeC4bUro0nlWQux99ipFJATuh/mKFf3aQOMbbhqFxS6dh13Mun7EkhETXVyFpLTLUXQ/wXt/JLJo1jvbYuSpUrsR+xfrNY+3BzCk8Xw+bax3TSOkSKMkTR0aZTSy1L0C5QXBoLzpWBdClOFNRC1GO5JYRRqFKKMdUWzuL8tSG20C8kz/dfkjjbFkK0TGQ2QxNJ63eYL9eavyGQM+64i9BVv/fluKapPFRaSoMc6pLuzz2RHGtlzf6gctaarB+bJfM5Nlxvym6hmEskGV8Y1wrUvJ2TakUamCNPoGSkCTNFbyVH+pCKB4fu2flEZR+p6QJgWNgsSWqPoijcUFoSlNBTpln1JkUSeEJOPC8MbnJGvLgJ2oLeU5kBEoUaCkdFDOCXpSkkXTd6+ZOcRQ63qn/S8s/8pGuFhl/qEUSdvPaJC5UB9ot7Em2WIijVK7gwjitTPz6o0DFWEMQYo4hiKNBm7NMglulDEEqayGbXzTZYKzTKKgsuJHPFQWoRH9q0wgShmSSxYDM/fd9RvbNR+LawxdW3ubL+pWbBOO4ZbayGSyOCS6KF2nysJkUWoTijR2RRn7glY0iz+iLUVdBln0RRNDZTSkNvbx7Ne2EY5UTggoJsPsbbb5DdlRMiUY39CQqCI3o1lldJHnWbW0kGX1Ir2vjm0NjqQBkCfaaNA3cuZTkPjXm4ur14WijNHXEWN0IyHLK0OhkETY7sP2u5PgiL1DDFk0pSJCS99z7PsoWgxZ9LTtE2nc9/fpgONAEUZluaT64BJHX9uQNLXLMdWVpYrXGluPcZcwtP5hBWmw4CGN1UBMIJEhgugjtosSFkMS+0o4Y6KLLllsH4Nb8lOp/W6SxhHLB4NaeYsGi5BFCT6CGIJNHO0+1CaNQC1NlWozurLURu1ZFTER5pBLAy+hDMxoV6RRC/2sSxIrEulE0CxUtQUHwCVxsRFUm1z79vE6pJbvjSw1pt5lL/jIYUnm3XqMQEEU1QJ9E6HZX8YuIw4G+hCWrrb70UW1j1GQtDQwkDSatiNx3J84UITRRld5DR9plPIZY6KMIYTyGINYggV9H6iMxUGRlIfYiBgGzSe6P7sv+mhfi3tdQ/8lQwYqfaOLYp1Fh/xJgxlpvY80jthfMKY3PpObHZ0u7IgqRRM31TxqsY9h4Jbe8PWDdomNiVtqw50YSxjG+GYpKPuXiiBa5TMapFEijo3jOIYOVh5jV+mfoc9lbH66Sxpjoow+kt0q3bGM/4MVZbTRjCpyI49xxAgJQ0ncUILSl2TuB5j7VF2vRf6C93CJpNG0P2jkkTT3WtYNB5YwupCIYwxpNDCDJV+U0Wd+Y8OtWwY4xjdds/Dp7nzBxAGST1IaQQjtNqEoo0+W2r4++T74AiuLmP74CGbMMc11DiF9PhlrdczIKGNv8DiLvyqEyKINQx77kEgpqmgTwS7YxNEXbQRqaaodZayuoeoDy8giNfs2V25fRNCcC2kYvUTKJA0ZtAmLSxpNO98ClBJVi/gs4XutBXIngZP20tzuIY3oiDKK51qSw7Yg6aUsB+V53c/rZsoDOf1UL5SFsQfUYRxxAWMZhEQ6xn6MMoYQJed1o40LkkZ7v4NGHvcjRsLoIJY0GvicAWMhyVLXTY4qIZg7GCKPvjzGDmJpH9M996J5jO3twUsJnEs6lhxdlK6rZXyTs7jY7UPH8ZHGEesHLhlDiCz6CKK0LiS7d6OGQDun0ZfjGIo2+qSuU5VXE2dmUszkMapEN/IYJbTkqAuMKTjLwJkVbUSkXX5XBNKDZci+fZ836j54oozLQoypWUW0bTiRWdtobSRxI/piNxw6LyQy40YXW/dPqebi7t+TNPYh1yNxXF8cKMJI4KDcyiCGNC4SZZTQV5a6aDmNZcCN8rVMIGIIodAmNspYtG2TrN3CItHF6hiCDMslhu3zyrPyUqRSNPJZNMo4YiXY1hPMOcGckwY5XFSO6iN8ZltMTqPdzu03JWmqHWU0cGWprckyxbLxzS7ARxpbJjkO2TQwpTWKZ9O8X+B6ouWo7X06o4w2ljUCiOl3hcislMdo/x0xYig6SYcpFSEtkcd0idC+Jzoegiit70MaTfsDTRwZDT+MmGXdsCeEkYguJ6K/IKJ7y7+XedrlRPSpcvmItf75RHRXuf/vEdFU2j8WEnEMkUa3Td8oY4xbKoB2nbIAlpbz0xONyB9r3Pr0vXj9N/4jbv3mvVBspFwdnzdAGoPn7iKPPeoxumPmrvatuo0DootSEKgP4e0ijdL1LYNQGwlsn2U/YS/6J+Y6FDSEKA4hlD6iuKHmjSW0j0+aaiMkSwWKfk5SVXDSbW5jPraOkFHSfIbb8gfxhvlncOvOl4v+ySJ+touqSxR5nlnSVEtCb8kruyDmLlvrJFIXE0UMkcbiIt2TNvMYpXqMC/2emLqXQFPOC1T3W7pvJmdnkajs2DdV7XZl7LQv0UEKu9rsRxJjrlkiedU6iSi6WJA0tvaJwH683xcq9irC+FYAdzLzjQDuLN9LOM/MN5fL91vr/ymA95T7PwHgx5ZxUaGZcxshaaovyighNo/RRRd53Aso1njnlz6Et331j/Ejj/013vrQn+CXH/p9qLkTwZWs6gEvqbSjln1kqbF5jLF1EmPWD0UdDXQ+Q2kyJC31tfhJY0yUcYSIXe+fGFRFFoEmATRRR3fpC5+cFICXINrb3H3tnEYbdpTRQJKlAk4eow+2rLKKnvXLs1PZHO/auRNv3flrvHH+abx156/xznP/vp7UGoBQmYggVhA9i5WtLkuW6s0htyOvhiw6RJsahJsbeYyj8U0n1nLstJfoVeaiT/kI075jn/2Wy2jfGy9ZDEVcl0QaD3S0cZ9irwjjawC8r3z9PgCvjd2RiAjA9wL4w777K+Lg7LmBjzTGSlMlhGSp+zWPsUKmccvTp3HT+YdwiOdQAA7xHMe3H8GJ81+y2jnSLok4AnKUMSBL7UIoj7HZrr2vXUfQV1PQ3q+LiPlIXaONx43WbVNfYzdptK+tK4dzxN70Ty5Z7CKG7rahBji+ftCF3WdKpFGKMvpkqQDa9RiN8U3plGqjF9ERyOSJ7CHcpB/DFjIoAFvIcDz/Bk5kDwXLb7RcVSUDnV0Cq/bS2J6Yvx01Gj1YRY5jCw3jITedoPg7ksUg9qRvWgcsTBj6ksXAvkG31v1AbHz3wkeQ3fWORLWLNHYRx/1GugeBMbqkDsRVzPwIAJR/n+Vpt0lEp4joE0RkOrajAJ5kZjMKeRDA1UMvxEccY0ijC1+UUYIkS/XlMaouOeoaRBxveOZhbGpH1stzXLfzjeKNlxzaJLI7yihu34U8xr5RxZhSGmJ7gSiqjKvFho80ysfvuuIRFna9fzJlNXZ02iKKM502Fhtdkcau/ES379ukubhI+7ikMYTUUU7YeYy+yTGfLLKSUhqCVBaVDxWXv4GfwCaafdAGMlyvzxRv3D7GLQOxIEFcNCfPW2cx8AselKUuEVX/LNyjStqrdVOWWvWPVj1G1GRx0P06GA7OazN2WleI5GQRsug5hhipW2O08i3d6EJu3E4AACAASURBVGLMPQrldwZII9BNpGOI474g4xcwVvYtJ6KPAXi2sOntPQ7zXGZ+mIiuA/AfiOizAJ4W2nl7fSJ6C4C3AMClxza9JzKDIFM8GygGQsa1cENlrRl8s07aZmOqcsx0gmmSY5Y3v/ATpTHXPXi7YkCv8Nd/IE4feja21QRbFmncoQnu37jSTxYNsqzuYLIcSJP6rwPKNDi1ZrZyDU6s9xmD0/r+qKzOc1L5Ls2id6AtGZW/vpL7q1mny89oBlqcElTO0AmBcgYnVH128744ZxFpMG17gy+MCMA69E9233Txs7cqsgigRQxtmG1mYmrOSScxlOSjNll0SWFr/3L7Npv+cI4dPcGE8uqaJ5TXU5Aa1etZ+dBNVdH/TVSOXCukicaso+/jhIF5SQgTALGVQJzv9unkKLaRYssijTtIcZ86WjeKJYVZJvZNy4BN8mJVx6xqgsWJecYZlFNj3TIQPRnnc5XNcsA36MsZmNCBN7xZh76pvI6qf9rEVo9TrxliSY4D0QgrTbvHM2uGBrF1nz0fWUycftlWddn3QKnGs06TtL5vwr2iJAF3BQDK/4nPiCzmGOsIwv6fuF8ZYWTmV/q2EdHXiOgYMz9CRMcAfN1zjIfLv/cT0ccBfBuAPwJwKRGl5UzZNQAeDlzHewG8FwCe+5IjbA+MzODHhhkIGUik8VAyw/l86uxXbDPkMISJyjF32qSJRpYXD2miNPJyIKUSDZ0HBlUJA3l44N8aeKzgS3vq4utxz+ZzcPz8w9jgOXZogrs3juHUoec3Oxs7p3Fi3X+bNFpoEMRMAxZZVBlXxGkRGBLlvo7dV3ott+0hM+2QpErEMUQagfUhzOuAdeif7L7pqhddzhJZdPsJW9I+02lD7tkHfciiDZs42qQRqi4J4sIoLzI9xTTJcV4rJM5EmUo0WANaE1hRIyDGCWrHOJPD6PwVYQZHSuHU5Brck1yJ4/k3sIEMO0hxt7oCp9JwgMWU4CDfoDNnq0SER3alFywFElM70SKNuwVvakB5z1zToGpwnudFHmNCQEagRAHlV6eQYdG+H1gtgnXom8p9q/7pCF2+/2cJLcTWHAQE4mIRIZu82GRprUlNGqil6BJFd7155gOk0T2XRBoBLEwcR+w+9kqS+hEAbypfvwnAn7gNiOgyItooX18B4DsBfJ6ZGcBfAnhdaP8YdEmuqnaC5MpIU305jENlqSEMMbuRBhtDSQNlxcBIZdwaLGhSeMdzfwh3XP0afODo38Mdz/qHeMez/wdoH1k07+11pmMx0lTHjbBxLcJgpa/xzapKcPSRo0pSVEl6KhneSG19COUyjmhh1/snBlWS07lOqsWFd/1ARuL2fRPKvIu0n+SianIZjfmNgZGlunmMkvGNW1qj8+MlJprmTCCVkUBNCm/f+gd498bL8X71Urx74+W4feMVyAP50OxGEvK8OXgR+iT3+dzraLyXbPb85e/Kp/EaALnSXk90RjK+6QvifvlB65on1IG1GDutCzrLWkiT0H1dOveB3LQL4mdwjW58ZNHXxs1p9J0r4DYbIzHtZWo0YqXYK8J4B4BXEdG9AF5VvgcRnSCi3yzbvBDAKSL6NIpO7g5m/ny57ecB/AwRnUahy//Xi15QF2ms1w/7NXNrMvrQpx5jV+7iIrPaLiRi4tqia1L45KHr8OHLX4ZPbl0PbVfkdsmijdA24TySjX2nScwKBm5DZF5dLoD2ffaZ37ScUk3+T9aUuEqlNhaduSc2teb6LfsMu94/cRlTM2RwphNxMajbNX9MY4xvfH2bSwql7b42E8q9uYyuW2q9vjskJvZhHdFFW7JuQ5PCXck1+NDmzbgruabZP3Vdh0t0Qg6pxvlzlyfGpfqLrTZWOY2hvw8NkuU+27HOsSaPMW9OPo7GN51Yu7HTfsJQ8hciQb5cxnUgNS05qi+66BLBUE3KoaRxAeJ4IZB2DJjQWjfsyX+Bmc8AeIWw/hSAHy9f/ycAL/Xsfz+AW5d9Xb48HSAsTXVzGaucRZUFc5EMfHmMnXLUAOwcFnG7ivdBCJKxUA0yM8jqIIRVm8mklqZ6chhdWSrQzmMEFsjRQ39ZqtknvN1/Dyui55DFznNa+ZpGnutKU91rcHMZR7SxF/0Tc0ECu+TsRb9SfNnmOhFdl31w8xztSTKJCBoC6EpNJ5Rhzik2ad6QpjbOo5rktegT6/cmj9Gg6uuMU+q8/u5WfZWPICYEzMtnwdPV0CTtJRFrEcRlwcrtNKAc4MhfYneSMNjHu78BhEDGmnNNuvl3YeQ5GABtTMU8xiI6S8DU9JXrl6e/DljXsdNBQCM/D9iX+YwV7OiijwC66+zPmqhOeWrrfrltHfSV8a617HcXQUSvBvB/ociJ+E1mvsPZ/jMo+oYMwDcA/M/M/BUiuhnAvwBwBEWi2juZ+fdC59qrCOOeQIGrWov24sIeSDVyfSLt511IUcU+Az2g2yl1L9FyMQ3NMmd5Y1Gscev2l/H6s6dw6/n723XRArJUwBf5dGWb1mvPpa2qxESMHLV1LS1Zm24sobatY+2TmXoiejUR3UNEp4moVVuMiDbKQtOny8LT32Jte1u5/h4i+q9387qXiZkVNfQtdrt6v7oMh0FsiQ2gSRalflFaZ/Zpks685S5tk1RJpp8mWiwrBE9/Fxsd4yQBp0lBTKpZ9MSfi2jvaw1oFGvcuvMVvGH+Gdw6f2Chuo02lpWjF+uQvZTJIaF8T3N7/aF4ntXlSOwBolWWhLIclOdNxcgiLqmoSx/1WUZcoHBdTX1RKlMiQloc+I6xDtFEH2iS+qOLhixG1Jsc4jQr3q+QCVFHCY4RTRBRAuA3AHwfgBcBeD0Rvchp9rcATjDzt6IoqfMr5fpzAH6UmV8M4NUA/jkRXRo63/gfgDyTbmbPgbYRTrEuLspoQ1qXJjmy0jnVZ3wjgRIGe2aX98IVT5KJAnByFJsXpVjjlx//KI7Pv44NzLFzdoK7N56Nd1z5WujJtBFldN1RATmyuCx0ReB89zemxqFYF9KRlRbt5Htq1pvPXkUVA1HGpZnfcFz0sw+sTu9VKKzeTxLRRywZFVAUmH6CmW8goh9CUYD6B8vO8YcAvBjAcwB8jIhewMz7aiioyxxGg8x59k3+nzG6MZHGvlFGA8noJmZCzFZamEgjIPeRBlOVVRLaVOmqD3SNb1ogz2sLRcScoZNi9rN4Jpbzr1es8c7tj+E4n8FmnmF7nuKe+bPwjsl/C70Mm/6e8NdXtBxR98D8piVLtQwwxEit4DJLObeMb0aMWCkEQii2cQxdOp1A18T8xktilWqSNqkvM/fGNbOxP29ElBHoH2k0137BRQ9XMHZCoRY4XSoHQEQfRlGrtRo7MfNfWu0/AeBHyvVftNo8TERfB3AlgCd9JztQEcYuuAMmKdLYN8oouRh25TG68NUpk8Bp/BcyVgYVDZsQRuT8nJg/gOPzr+EQ5lAADmGO47NHcWL7y537+ghqvAlM2X4XI3BSTpOvA/E6EHrauLLWJvH0ve48xW6h6vSYeQbAdHo27ILVfwjgFWUh6tcA+DAz7zDzlwCcxj6UXDEXA+RMqxZZdNdLkcYY6TsgmdSEJVVT4UsS6idNlNGY31TrHVKbOPmLihhKqMlo5ylW9Rc7frXESSQ7vyZA9myCc4t+GMf5DLaQQQHYQobj2ddxYvZA+AI82M3nzZ7sinFZDaHRZzRk8z1+l7Kss2zJwjk7jCovstcy4oJAKMrXik7FkEW7bUT7VUcZhxy/FV30SVEBObIqfXafq6onn9FcRwsdk27S5x2jjC1cDcD+QeqqrfpjAP7UXUlEtwKYArgvdLIDRRiJGBs0rxYJocGQ28YMiFzHVMkYp0uWahtAdBrfKM9M8z77b16fPYYNt5g2z3Hd7LFwboBnoCIaxOyC2c0g8xvhunzkUWXcWupzhwdt9nl224SjB2I6vapNaQn/FArThr4d5lqCUZBCn9mNIYcuaQTapTdcOWps5NBgSnm1SO/t9rY0VTLTsWWplfGX0+8p1/zG6d/8kbWCZJuP28jZTahcklqlMEmr3DlK02rx4fr5Y9h0+ydkuC57zLvPYKwBb1lInmnIYEdOVxVpyHLR+GZRp9QRIwAMkk/2QWeR+iUSG1umGe0sGmrjSlGBbkLch2D3wYL/p3WWAi8JVxDRKWt5i7NdkmKIvyZE9CMATgD4Z876YwA+AOB/Yg7nXOwzirFc+Mijb4Dlcxf0YSr8AkvrQugTXVwL2NFAI0d1IoScZeAsw2m6DDuOKnoHE9w/vUI+HuQ8xmJ9TESu36hsWRGBrvO2y4Fo7zZ3vWKN7/j65/EjX7oT3/Ho56FYd0YZgcUGhxKB7VoQ7vhiOj1fm+gOc51RlNUocxjzpLEYuKTRXjcEFdlzyGIIIdIY3M/kLwaijjZYyUTRRM58H5uVR8o4YGBymi7Ddqt/SnF/eoVnDz9i+h7Kh8tJY3MZY2Cu1b5m+1/VUDYEooY0n+G2/EG8YftTuC1/sM7/9NRsq0nj0CtfHSJyrH+GiD5PRJ8hojuJ6HnO9iNE9BAR/fruXfUIYMHo4hL2WwapoUlaLb32caOLQ8iihGVFGd19HFxohJB0vwXAY8x8wlre6xzyQQDXWu/F2qpE9EoAbwfw/cy8Y60/AuDfAXgHM3+i6/rH+G6JDZpjh60cRitXx85ndLf7chltSG6p0ySvBoO+PEYJvtzFLlfUdYEt+TqVXoO73WLa02fhVFIGiIxjagkpjxGoHUJb63s6pcY4hy5KIn3yLgld8tp0nuPdn/8dHH/6QWzqGbaTKb7wwLX4xyd+DNpTRNxcQ6te3erxGDOf8GyL6fRMmweJKAVwCYDHI/fdFzD9gZ27nChdrZ8mOWyXVJPPWO2vU0C13VBj0UUW7XYzz4Oyoea1E6hGa0KoOkaS43yXttQCJ4DES3UCqLkhily29Xy3lSryaYBOeSQAnKRjuJuO4oV8pu6f0mfh1PTazn1DULqQ1VK+/1QhBk05vIku1vdUZXO8c+dO3KSLKO32Top75lfg7Uf+m8ZsDmU5eGr38Ww5pfbHKlIMInOsjbHEOSL631AYS/ygtf2XAPzV0i9uRD/4yJGPtLgRc58LaJmTt+zcO0qSmvg58J0nimT5yKKdW+ymAgn5nJ2IyWc01xPpOOs9xsHESQA3EtHzATyEws/hDXYDIvo2AP8KwKuZ+evW+imAPwbwfmb+g5iTjYTRQgxpDJk7NI4lEUeLJMagy/imbsjAQLKoE6BnSmU3PA++a4CgSeHtF70aJ7IHcT0/ifvTozh16Fvk+mhCmQ2TQyPlLNklJxbBIuUn+syUG/JYzbIHoo7m897yxBdx/OkHsaULSfRWPsMLn34Atz52Dz5x5QsrEh0yv1kTdHZ6qAtW/2cUhaf/AzMzEX0EwAeJ6NdQmN7cCOCTu3blSwIzxGfdrDPE0ZBGoDbCAfqV2JBk9u02M3H9Nk8B1KTR9JEmyuhOrBl5/jwvrm+mk5bxTZpoaK2hmarSGgZsldjgBEXZDF8dRosocqqAPAFSBuVJe/CTJC3SKPVPtyffjVv4EVyvnsL96ZU4tfFccI/6jUDxnA2sjrTnaDpMRzqyzjPckj2Em/Rj2ColvVvIcFw/hhM7X8XJ6Q218U2SFFHKjIBp2dHmDEzWavJzsLFE2f7bAVwF4M9QSMJGLAFLk32G1AcSkYkkToua3zTIoj1xbrVxj1lJV0PRRYksSiXMUqHfbGz3kLz9XG5kleDlp0gxc0ZEPw3gz1GU1fgtZv4cEf0igFPM/BEUEtSLAPxBYfuArzLz9wP4AQDfBeAoEb25POSbmflTvvMdKMJoymrYcGuMhUhj1aYkjb4oo40ut9RJ6XQYdf0JQ++DKGIDmWCtbkGTwicnz8Un8dwinyjn4ltp6jKaY7gdmlCPMQSbKPVFbMAmNKDyDbxiTHpapTTK9zc88wg2dXNgv5nPcOOTD+MTV76waGsR5z2KLHYistP71wA+UBacfhwFqUTZ7vdRDN4yAD+13xxSgUKS6usHTM1CmzQCRppafKn7St0NTH/YkJp6yKLZ5iONIUwoxwxpox5j4ZLqsVCXiKIHUVG6NOk1iDEDPU0Kd9HV+OTkeUX/RKqXfyfp9a132ujX3DRSX/kh25jG7u+cgesN+oyY/3m9PoOTuMFzPa5T6q7hCiI6Zb1/ryP9kvKkbwscrzKWICIF4FcBvBFC/cQRq0UnqYyRqodqBwrRrmVGGSlJQIc2a8KXZcAkBc5ve6NsvciiRBRtuKTRR5Ztx9Suz9QzQnhBOqYuEcz8UQAfddb9E+v1Kz37/S6A3+1zrgNFGCVIJTVc0li1FaSpEmJlqS4mXTbzAtZWijoPRzG43E6TjvvpyFKBIm+GA7ILn0S12r5IWYkIDJWtStHFUG7mfYeejW01rSKMALCdTHH64mPVcUL3YdA1rsYaOqbT2wbwP3r2fSeAdy79onYRXN7SLkVBQ6IaSRK3y8mtGITIot3GkMb2tnklR4UqIosSpipCbZFwEXmyoZp/DVnkhIB5OTniflQTTTSyMTNgcaKMlKbeia0hoJwB5/lTebfL615CyqF0yVtjltxTUuO0OoptpFWEESjkyfepo+B5BtqYisdYhCgu0DeF5PLAMGOJv1+u+kkAH2XmB8rZ/RGrho8Ehtw+Y45p9w0ScVpiiQ0TXUSaAtMpYJ6XjSmwMwOhzh/mPB8WWewii8vCECnriLXEGv907S7cwtS2EY402Iops9Hllhoqr+E6pUrmN7Qko4PdngFni0w2XpvONiCD6LJyXwWZWTWGltY4eemNuPuia3BeTaEBnFNT3H3xNfjk0Ztax3Sjn6twjx2xCAi5Vpg7C1CTyLlO4iTqEYgxqgGATcqqpbm+IJYmMlmU0mgf0y6vIRnfALVTqiLhO1mOsfvk+nGiCtm2cUpdNjpMIlTO8XLvvRpHRZy3QR7d/kPqhxv56VfjHnUFziOFBnAeKe5WV+BUahkYG6fU8viuU+oaYRFjie8A8NNE9GUA/yeAHyWiO1Z7uSNWAg/BXHaph0qKurFRTKxsTMFbG+CLDoG3NoBDm8B0Wmy38hvXkiwuARdKdJEAqEz3WtYNByrCqMBV/o4vUmjLq+xIo1nvizL2laW6sI1vLjTYs/YsRB55PpcjjbYsFZClqRYo13INNm/7giz3NcdZBvoSW3eAxqkqcqxe+KO45cl7cd35R3Hf4WO468qbWjmgbj7nIvLcEasBMzDXqmF4lSZNxYEt4WzGAV0XQNSEIMIEpyJ9VnTRJYj2uu2ygGso0ujDxOoLp0khtbVJsEo0WAM6E57j8iusk+I7bKSqhcyai/W+EydNaZUvyrgIKOfClMwjWm3IUzUQ8KXaVbhVTXxOrW6fVTmkCvdPk8LtG6/AidkDuE4/jvvV5Tg1vbbO/ww6pap1yq8GFjCWYOYfttq8GYUxTstldcRi6O2mObScQ6BAvb3djib2iTI2ymdMUuDwFviiQ9DTFDxNAM1Q0xQKALnRzBBZ9BBF20SwT13VEQcTB3bYaBs/+BxQAb88FUDQAEeSpdoIkUjXKVUlujCDsKEY0HsvcaE8LzoaKSroltPokKkCBbkUa6N1kMWQ/HJdc/ckKMf8BpA7cuMYq0nh5KU3ghXhhmceASeET17+AuTlPXTvy8L3grkz8jmiPxiELFfQFnkywwGbOLoF7xeBTx0hkUV3uyGNQNM1tYoylqR1u0xK21BZQ55qG9+IUHXFlD7RRZ1QizRyWhqrmP4jy9ZKIqXywp9nN88nQZpXcJUI3mff7uvzHJxl0JnGSToGhsaN/ARIJzjFzw06OAO1U2pv8GpyHxc0lhixDogpHSFNNq8gL89HGu1IoZGi8tYG8q0psosm1e92spMgRdHFEs42rsEbVbTGTpLTvFm/H0jj6JC6dziwhNFGV9SxaueJMrrmNzbsdb48xj7GN6sCJwD6zuousXNpRRkzZ4AXqtXTM7K4VwjJQH0DsVAHTpkGJcC7vvB+HD9bltZQU9x95Br842/7MehMBZ1iR1nq+oAZFVnMclU6h5bv0Y42As0o43TBr39M7mKzfUEa7SijZH6zqeYVUZSMb0Jg1U4e0wmQzIs8QIU6d1GnRXmNYj8CJ1Q5pVIeb1gxFJSF+6BWdDHi/7WIQ3PomHHt5BqMxTahpEYJ+34q1nhX/nEc5zPYZE9pjTwvjpFQ0yl1zTDUWMJp/zsAfmfZ1zaiJ6SxhO/ZlcxcIl1AfVFGd5t5b9pRkhRS1EOb0JsFWZwdSaCnRW+Yni+uNQWgtC4m2M0YyUMUfSRxxC6CGdhdM6+lY/wWWdj05C1uRNjQ2ziUhAdfwdxFJ4IgRRSWlbsYg15SzZAF8yqQ6X0xI+ZDjENqC87nvfXMPTh+tiitoQBs6RmOP/0gbj1zT/t8I0Fca2R5LUm1X2tHqiphptNO2XsM3OjihLJqCSFUwzEkiU2UrkprpIlu5WqbgvQxhemLWoy+EwXuzYqLQ/smZmwiFkPkhpqbkS6PL12Gbl5LgyiGSmoEHFINbuFHcJzPYAtZ0TdZpTUAiIPu6vyD+qpC/dB3GXFhIjq3sGuyObRdilxGyl0pSaoFsMjioc0ib3FzgnwrxexIgtkRhZ1LimX7MoXtyyfIjhR5jTi0CRzeKgxxplNgOgGmE/DmBJyqgiwqZxmKVSkzfKXYLpD8xQsFB4owUpnDaBYJXaTRrDPtQuY3tumNz9EwRB4lqJiBU8rgpBhkcVLM1O+1tXtLjpplrU7CtGk4FXpkrBTZkexHsxcziGmQ4UzXZNFaf/25R9ulNfQMNzzd9GRYmhkQF0S37zIiDAYVdQidxRBHQxrnZc6fMcBxnUb7KhXCRE8mjwaGXLrRSYlcusY3xWtP4emOXyXTl2nnLwDZ5MasS5Jixt3O6ZGOv1eSJ+sxWRfna1viSZqjHFINbuAnvKU1Ys85YsRKEatMimjXRVBD26ttpm+aTovo4uEU88MKO5cQdi4Bdi4Bti8jnD+aYPvyCeaXbiK/9HBliMNbG+Bp2l7cCGMscQwFAWIdpZ1+YZH+1d13XxHKAWOndcOBlqT6pKi25DSmxpiN7txFf3kN1/hmkuaYZ/EDwGIWnrymBZyEZ7J1QkgWJVQuCZQ6FXtdh9xUgsnfu9DQq4Mo61Det9UurbGjprjvomON47r5naPxzZqB0c5TBoCkcA/NcoUUdV6jrTyY6QRp432KSc+JKKAZXQxFFCeUYc7tL8+UckChku27eYyNtipDpgOJaqp+FrisycgJEGPuakprcKJAie4vtV8iVAbYHmiUA0gKoxmtStmpcrbDWaf75XFGX5srNdXy+qBDqhmwCf38abosrrRGXiZx7oPJvBH7HEPNbqTj9JSlxrQ1+Ysmujg/nGB2MWF+ETC/qGincqAYkiYAppg+nUDNUqiZ7HVQX7Owrg9C0cVFIvVjdHHf4MIbdQ9AKOJooyvKaMOWpUrlNYBwHbVUKKMhldaoEClTXWqkcQhp6yKQjfXdRjoHAr4OPtM4ecmNuOfw1VVpjfNqii9cfA0+efkLdvUSRywGLgmjvQDlOm5Hm0yU0SBz8hvnCzzoMSU3JlV0UY4y2jD9pekHJ5EWmDHS+6oOo9MVufmEvAc28sH6hcs+V8+IZGPiUKy96Lz3OaQGcJKO4W462l1ao3HcBUprcOlU23MZcYFjEQmmDV+Uscfx3SgjTdJGOQwoVchRpyn0NEF2qCSLRxjZkRzzoxlml+XYOcrYuQw4fzTBzqUp5pdMML+kyHfUmwn0VEFPFXiaVLJULq/TN9neIpJDo4uBbbHRRYksjmY3e48xxmChEVkcEGXsahdyRl3E+IYT7jVgCBncSNs4JWCXwuPeEhtAp1OqC7ecxDrCW4MxchZQ58DtL3gjbnnqXly3/TWcvvg5OHnZC6rSGtI9WNQpdcz7WQ3Yua3ans8rnZNNlNHkOudaAWU0cabT4CSUD30Nb5aJqrSGUsiUv9ZEXUKj+CtNdRoDnPb60vhGKKERMr6xC2Lb7V1QnoMTZ33O8TUge5TYoJyi8jljzW1CJTUkh1TR8Kb8y/OsckjleQYmhbfh5biFHsUN9BTuo8uapTW81x7pCjRixCJYpVGeFYFsGdyEpKsladTTFPkhhWyLkG0B2RGN5JIZkkkOnROyzSmK4TsBSiE9R0jPM5I5g7SCmpWTIUoXpTgyLohiBlBMHqJLFu19XEIYGg90nUsgl7GRxX0ZgdzncvsDRRgVcbCcBuAnjQamzEaIHNqyVJ9EdZrkrfwjg4lqOyKKpTVQzMLzgHwXnQChgOWuo0uaOkC6ekEggjhqUrjr0pvwifSFAFANyPaLe+wIAEyt51uVoZ+KOJakcWr1DxNV9COGKM50UkXwdnTqVTfEQiqxYUpqGGmqW2ZjU80LKarVd04oxw7SyikVkEtrKHJ+UBMu3DMDsKOLwVqMQLMeo1RHLRaherBZmyyqHDD/XpUXclSbKPpKa8Q4pdqThb50hAakiGLDgKfpkDrE8KY6FSnchefgk0lR955I1c63ukk+eXoA+/cRBx6N+olA0bcoQj4hZJtAfohBF81xyZFzuGhjB/M8wdMbm3hGHQInE+gJYfoUIdskpNtcEEfFpURVlQXgm8+wW0Kj6ZcQIIsuXLLYJ7rYgyyO0cX1wIHuoWPLaQD+6KEhlaGajF0IkUegyFfK9XoO/DlJVuJU6q3HuAewB2xdOaAq585c0RBC0TtbBsYDnR1Vzv2cb0fsHpy6qhqqLmRfvgZK11SYiaUESUm8TB7jXCcNc5kYGGIomdpIbV3SWKyfAZhWNRlNHuNc6NtCpTVUopHP2/1dVWbDbPJ0iaYWoymt0ZJP2uV67OPHmjj0hF1So1Few22XA3ZqqB1NtPMYG+sDk4XStkYA2o0uehxSi/MHSCOwmHtingNJ06xw4gAAIABJREFUWSuzLK0x1KRrVD+M2DUIeYwLlepRCkgK+WghKSXoFMg3GZtbM1x5+Cyu2HwGAPD0oU18NbkUT+EizDABK8LkLABV5HrzNpCaJHKoMspoXac3zcXqINxnuqt/dLf37BP6kMV9GV28ALAeI/I9RquuYkeUMXgsi1geSmY4XzoexNRjBNrGN0Eobg0y+0CqcwaU0Ud3kiklJEuUpSrWuEU/guv5cdxHl+OkOiZNfBeYzwGfTNV3fMHoZRlYhAwuE4UMzgx8CwMc2wxI+vz7QaJ7YMEQn+UGUcxVK8pYTSYlOTKtWvUYd5ZggOPb3ogqOu9tTCjHNuo6tVOVdcrvVaKhM8OQuq+3kFhbRjmKms9pQkDkOE6xxi38CK7nM7hPHy2Lz8eBcg1WifWeAemZK8dxrcgiy8Y37fPEPcd2SQ1fv2WTyEapDyEHM9bwJhpZ1orWUs4QfJJGHHBIEvEWQpPM9jaf8sZuI32vpbqMEfCZ37Q+j5Gkpgr5hKAnAE8ZhzbmeM7WU3jeoccxoRzfzDeRKo37ATyFi8BqUkyQKWCKou+jDCBNRaqDKvpHThXIMcepnuk+ZLHrHnQ5o7qTdQchssgLGA6tCUbCWCKGNBoy6MpS+5JKG6G8RsDvlDpUiuqCUyzsIljIG+IPoljjXfO/xE18BpvIsI0U99BR3J6+qsq9Wxcs0ySIExpsshBbRmTVIOZ93+mtK9zn2bzTUFDQlTRVpTm0LshjrlVLlrrfYGoxtqAK1+cQqpzGJUGxxjtNsXlk2M5T3E1H8XZ+Ze+ovi1DBfzRRdcpdTdQfVXK297IXbT/FTmHDW/sfr/MX3TROcgfMWId4JLNSCfUZcDOa+RUFeQvKd1QpxoXbezgqo1v4rnTM7g0eQZP5ocrM7Ev5gme0YRMp6C8dMnXVPQ/mvzR+kZeoocsSp9fIosLSlGj9jPr12QsdBCxXqPzFYPA2FQZNj1yLdcpNcY51YbtlmrnDsXUYwTi3QNjajEuCskUJRidSq0aZz6UHcUt+hHcxI81CzrzY7glf9i/7xrBHfTtVY3LPiRSKtmxYHrbiGWCy2iQtXBORdRRF/mNxhTHuKZmJRuxo3VGueBTMITgOp8abFJeLc31bRkrUJTXcOvSuk6pQKG0sPvDNNGiOzRgEaqyC5Lm2LwfuezLYpxSb9EP47jTN72QH8MturtvsuWQofqv5jZKHFk+bvm3o73Z3qWA8G0fZHhTwh7cdUUFOMuauY9ZXpbW4ErqOqQWo5nM6ruMGLGn/gjm3L76sIpxKJ3j4mQb107O4Or0SVw//TpesPkobrr4a7jm0icxPbKD/LBGtgXkGwXRlPpI9/tOma7JotY1WRTqZCPXcs5iHylqZN7iSBbXEweKMNowxNEljz6SuOmU1NjoSSYlTDukYr7B07Ix0Jx1MG7QZ3DICWtuIsf1828AKJxSK+xhGY1FiWDMfV2FRHTM49mPINBMgWYKyAkoZ4pt0gjUtRprslh34T6lglRiwyV0PrRJov953KSs4bg6oczbn4Ymx+zyQX0jb6wWe55uyOW+6QZ+YvAxG7lDPoXBkh9Zr2TVOo8SCOYgwxvPALFrcHdByc1GXJhYIZHsiry7fd9FyTaOqG1cnuzgOelZHJ8+ghdsPornHX4Clx4+D7poDr3BBVmcFOMXb3+oncmSLhfU2KhilxTVwUEiiwQGad1rWTccWMJoI0Qau6KM0sDLXhdTjxHoJo8GwVqMC0AiR9KM/UKum2Xn6ztCEp0ptFwMMYHpSyYHBHyiHFJ3HYziuvouI8LgeqGcigG/QxpNlLGq0WiRxVwgjl21GKcdoSgfObTXd+U62pisKPm3pYaw3vftr5SnD/Ktl6T4dnTMfi3mCurmOvcWucTPF2WMcUddxPCmQXTt14tK9oRB0eAJL0YdpeyzjBixhpCe6QnluJwV/sudM3zw/34CD/2/X8G108dw1eFvYrKZQW9ocFqQTd9kW8sRVYoqGpLoiyhKUcUl5C1eqGTxQsGeEEYiupyI/oKI7i3/Xia0+R4i+pS1bBPRa8ttv0NEX7K23bzoNcVGGr3792zf5WI4EfRKMWSREy46i7Rw6+Sk/LtGUwM+n56c9r8hy244kCrWuPXpe/GGr/01bnvqi1AcJmVDHQcPKvakf7KJokUcDWkE0Igy2rJUmyxmPd2Uh9ZgdMmkK0u1seFMqsUQRzuV2TiCmr8mkBr6qJySTBYDs/qUptCenEnf+goS8bBlqFKOYPm3FWwtDWqaElFhf+nYTruFDG9cWapkeGO9N/mLijVu0w/hh/lzuI0fLvqnLuR5g3yPKgkZ6zh2WkcEax262CM5qkiCStJFOdd9gKbKRT/PGa97wxn8Lz/1OH7tV8/ijn/0ED70E3+DyydP46JDO8CmRj4txnutsYguIlxVdNEli0A/kuhcc+OzLYkscp5fOGSxNL3Zz3L5vRJuvxXAncx8BxG9tXz/83YDZv5LADcDRScJ4DSAf281+Tlm/sNlXtSmyrAthIIq0xuP+Y0Nu7xGTD1GoNv4JgaccDGkCRjhVNbunuePE7QMcDih1sBBp9RyUe2D03QU20hxyLIt3EaK++jy4QcdgEVzEW3H1CHuqTolMbewQqpaRFCxxju/9CHcdP4hbOo5ttUE92xdg9uv/+FmofcRi2BP+qd64F/m3CVclFBA7Wis88IZVecKGTGm1sTSMoxvNqs8xu7jbFKObU6CDqkGrlOqjWmSI9cK2wv8HOkECKlsOUlAeXc07HRyFOezFFtO33Q6uSLqOqgsq+OuM06pyzK+iaq36EGX4U0j3zLjZu6iTezKv/ZAj2YzvMs2DUKKu/OjuD35bmhS4HnWHsxbTqmU52DsUVL4/sBajp32FVZYm3ghmXWWARtTUKahMl1IwucAZgrb2QRn8038zce3cfJvd/DMM8Uzeu4c40uf/iau+8RXkB6/ujAKk8zCSqVDwxFVIov2tYTgk6FLn38BsjhivbBXI8zXAHhf+fp9AF7b0f51AP6Umc8tctIEjMM0rxYJdqQxNmoYmw9k0DWoSwU2JroIlqCeJjghYrQbEbKT6hjupqM4jxQawHkUToQn1bGVn1sy85HbLXqe8Dl9uYtdEroT37wPN51/CFt6Xphy6DmOn3sQtzx9epHL7QEuBo09l32GXe+fyESVykFCMXCnqlKEHWV0AzZzrVplKrrKVtjoIyuNOdYmzUTjGxdTlVe1IwFBVaF2PzJ+Uj2n3TepK3AqvbrXcUxUvxG16zK+8clNy0nAWDObcG1Gzz7urW+101H5i7fwIzjOZxzToDO4hR9pX4ynXxg+sz72TQKWMnYasRiC5CfLasKUZaW8k6FmXPwWzAjnZhM8Nr8In/2sxrlzzX5x57zG4/eeKcaIVp9p8o8rM6zyuWpKUrM6qhiKJBrJqSA9rT7jSBYveOwVYbyKufgFKf8+q6P9DwH4kLPunUT0GSJ6DxFtDLmIEHH0IUQiG7mPnjxGFzG5i5M00GbgoKoPIZJIZGxuEAlyD00Kt0++B+9OvxPvT74V706/E7dPvmepJTVWUYNxWViElN9w/lFs6uZ3cEPPcd35Rxe9rBE19qR/MpLUYqlJo5GmmrIbOleVLFULukzbIdVE80xt2CGYEDcWf7v2D79PquqT5CvPxFgtS0Xj77INuzQp3J58N96VvAzvVy/Fuzdejts3XhHum/Lm7L0kpwwa3zh5jDaGRhLF/QTDG/t6KG8W91Y5t91KO3L+buAnsOkUvNxAhusd0yAjXx2Nb3pjLcZO+waS6+iysISSGw1ipGtCpzJGMmckO0ByTuGZcxt4cn4IV73wEhw61DzGxiGF5xw/ItbbNfnHKqvlqFV00ZBF97O45LDDfIXn2UgWo8DyvQ0ta4aVPU1E9DEi+jtheU3P4xwD8FIAf26tfhuA4wBuAXA5HEmGs/9biOgUEZ16/HH5H+CSRinK2Cq5MdAtNWR8A8SX1gD6RxZd+AZbEpmUImKmSPygc5PCXcnV+FD6EtyVXL129Rdj0UW8+wxoY0ju6UPPxrZqDv531AT3H3p2/IlGrEX/ZPdN+dln6shiRRTLgb/JbyzzWSTkushlHCptt4mdLUeVCKK9zrQNRSldh+kuKOv4ffq4aElnhzuhJoW71NX4YPIS3JVcI/dNEe7N9Qx/h/GNAynvsCvKKK23jyMZ3sTmL1LOcv6iNSA0BPA0XdaSFu8gxX3tVLsmTGkN65wHFevQN5X7V/3THDsDPskBxlAymReEjmY51Ewj3Wak54Ds/AQPn7sEV77s+Xjxt23g8BaBCNjaIrzg5kO4+mVXY54nlaO2+R1ROaAyDZrldV6cTRZNRLEnObQX8bOPZHHXQESvJqJ7iOh0KVN3t38XEf1/RJQR0eucbX9GRE8S0b+NOdfKchiZ+ZW+bUT0NSI6xsyPlJ3a1wOH+gEAf8zM1WjDzLAB2CGi3wbws4HreC+A9wLAS7516v0VOkxzPMPDZ+Ft+PIYXUxV1lkvLU10ZaFvQyUMHZAexcLkRrnQCVp5ijolJG7OXaq80iKkSb+yGEtOPh9asmKoHNXkMeqE2nb0VRsaPBhSrEGs8VRyGAmfxYQz7KgJ7t66BieP3DDsovcByjyc3wPwLQC+DOAHmOU6B0R0BMAXUPQZP12u+ziAYwDOl83+wTr0T3bftHn1tdw2JyEADFIETrmIMioU70u31IwYSinRJGumU3HWeRmYEGPOw56vDZUVg5s1BU3SZl5eRL9EeQ5OUlCui3xJzWCU+d9JO3+xeq0BqGJgF3tLKG/2URKx9KErf7FxHiF/sYKdv5jnUKxxYvYAbtSP4xEcxnNwFhvIsYMUX6CjOEl1ukErj9EepC5CFI1L6j7HOvRNZduqfzpCl+//G7sMSGZMXSSrq7xMnpc9PUBKAVpDzTKk53NMziVIzxHomym+8cxFuP/iZ+Pnfus4vvE3D+Dez8/wvBdt4oqXPR93PTMpzM80FW7LGkhmgJrpyuyGZhkwmzfJonP9C0f8F6izOJLF/iCiBMBvAHgVgAcBnCSijzDz561mXwXwZsjP+j8DsAXgf405316FdT4C4E3l6zcB+JNA29fDkVSUHSWIiFBo+P9uGRd1uCEpbX+hfdHGon337HlXdDG2tMay0eFX0b1/khTRRlMYO02BSZN8k3kfM/iy940ott0XQ2VsfSKy0vrQ3IAr8XWjt8bs5ucf/BNcNX8SDMajk0txx/P++8LwJuAKt9RajwOcvpbg9mWMHm4EcGf53odfAvBXwvofZuabyyU0yAL2on8yOYyZ9doe1Pccrg2JNLpRwpD8tLlfd7/lOqV2YVXlgwD4J7gc9HJatPerJKrcWgdY/1cnj5FyiHmMkrzU5LuKkUVvLqRnvSNPdesv2vmLZEcCy4GmYo137dyJt+X/CT/Cf4djOIuHcDE+oF6CdyUvqwxvorGGpG+RWfxy+xEieoiIfn3BS1nLsdOIeLLljcwBxTO1MwPNMqjtHOl5RnoeSJ5ReOrpLTx4/lJ8Jb8K1/79q/HanzqG6//+MZzhIzibT7GTJcBMgTKTB89FlHFmuaLaZLGMKAajhTEI5D6OZNHCalxSbwVwmpnvZ+YZgA+jyHOuT8v8ZWb+DIRfF2a+E8A3Yz/CXhHGOwC8iojuRcGM7wAAIjpBRL9pGhHRtwC4Fu0B4L8hos8C+CyAKwD8csxJCYxN0tUiQcpp9OUtijUYe0pUQ5CiBsBqBlPS+LKPWUuFFRC8RdCVL2i2h42ALCv/ZBjh9Jnt6JSiCN2JZ77UMLvZ5ByX5c+AQftWztsDUUYPRPTtAK5C0xFwCHa9fyI2hdKbUsJKmmpyG0tZqpvHaIxvZnnSu7TGUMhy1axhfNPe3lw3VRmmKg+aehksakTVBy2yKMlYW6UlPDUcBeObkMrA/Q7U+4b7CXt769YL+YvkXFev+osWTmQP4Sb9mGV0k+NqnMVpuhx3KX+6AS8hB2w3YM3ifx+AFwF4PRG9yGlmZvE/6DmMbyKrL/Zk7HRgMeQ7aku1nT7CJks2SeM8r81vsiISqGYZ0mdyTL/JmD4F5E9N8ZWnLsMXn3k27p89C/fNnoWH55fhiewwnpxtYTZPQXOCmheEMT3PSHZyqFlWRBe1bpDFBkm0SV/fxYORLO4KrgbwgPX+wXLdSrAnZTWY+QyAVwjrTwH4cev9lyF8eGb+3mVchyGN257kF1+ZDRdSeY1i/3llNnEomeF8Pq22uaU0YktrqERXhbuXDak0hE7b0lROVC+pKaXpng4OYp1Ri7bN975/iU7kHKQ+5TU4JbFGIieqloKVpTWuD5jd3HXJC1r7ryGuIKJT1vv3lpKnGDSMHoioZfRARArArwJ4I4S+BcBvE1EO4I8A/DIze0fse9Y/mdyy8iUnJvpDoITBjIYsNRY7A6SpLhncLN9vB2SoUnmNTTXHPJf70InT53lJY8JAVp+XEwDWo7CUGrNJIkYebTmqGHHM88YkGWW6en5ZJVA5QycE0gyVEfJpKT8tr1nlZT1JDYSqSZAu0wdyqgyAGtslMhmRv2giivV55PqLlRxVyF+8PvuG1+jmLs/YpZKl5jkwSRulNQaD0ajluERUs/gAQERmFr+SfZV9AYjaM9HWRNafATixyIWsy9jpwGPAeMZblL58Fow0FZMU2JlBnZsg3Zxg4+kEO5ckSJ9M8NQlW/jK4cuwoTIcnZ7Ftp7gazsX48z2FrbPTaFmhGQbSLcZaqbb0UWLLA79HJ2f00MAD7zBFXO/FK0CXeMm6Qd5ZRKNvarDuFbYJN0gjVI+o1uLcdVIkxzZwDyfYkBBQGrq8dR1ebrIzCprMdJkAp7PC1mq21GFpKqT1d/vIbBJo0sU7TxGiVyG8hwl3Fea3WxZpLGP2c3SXGOHdXoA8BgzewdLRPQxANKHeXvk8X8SwEeZ+YFCbdXADzPzQ0R0MQrC+EYA74887u6Ai5wTnRRPq+EQ5ueA8pIkEsCT0jG0zGNEyEW5JyR56WbD5KZJHPvkMppajOb1TPj5SRONWfkVV4mGzgJscE3mRSgr8her9yvOY3RJYyOyGAjUhhxYffUXGzmMUv3FPMd96nJso1m7MsroJgDJaXYPIc3i3xazY8RE1oiBEGt6+rBkf4QKpSx70ciZTRoxz4pcxtkcydkdpFspNp5SmF9EOPfEFA8euhRTlePx+RYyneDJ2SaeOr8JfT7F9BkqnFXnDDXnwuxmlgGzGbAzq8liIAoqgTqMwrqO4yXLY3SxC8FxE4q+6Frr/TUAHl7VxYyEsYRLGqv1niijRBztiKJtfOPCNcKZJjlmESOFROkisdkDTrgYXwakS9VgJfCc6oSQuAQxaRvemEhWUGvtM76RSKOFGKOJPnD/hTHytmVY9reIZAoo+I1vdEpQQtTx5JEbcM/WNTh+7kFs6PlSzG4igue7hiUYPXwHgJcT0U8CuAjAlIjOMvNbmfmh8hzfJKIPoogYrB1hhC45UI4iEgWZQLhuqVmuoJTa1d58k7gRbdykHNueh2pCWaOvDBmB7TVsNUTVB9mDJZ9Nf84g1MSRci6e/cwiizkDaZM4Ug4gKWSiWhXvGaijjWWU0L21fWotttYFjG5M/mKjnEZH/UVTu/KFfAYbyESjmxB4noE2CvUNZTl4uuvfjVXO4ocmskbsJ8RMYnjGNDHRtYoAZ1kxxZ+moOkE6dl5HWV8OsEzF23iq8mluOTQNuZ5gp0sxdmzh6DOK6gZkOwUctT0XAZljG5y3SKLvQjtAsRuJIsrxUkANxLR8wE8hKKMzhtWdbL1/NVeA8S6ptok0Ye+A6SJyluFtydpjnnmZzCU/P/tnXuwJFd937+/7p65VysQEnpYi7RCIMm7WrkoSHYlGcexA8ZICYbgggoYKJLIqFIxqRAHF9hSUsEVjIiTEFfhRymBkitFTOQkLlNBSEiAA07QY4vClKTdlVYi0l60WT2QtI+7c2e6+5c/+pye06fP6cc87vS98/tUTe1Oz5nu031v/25/z+/FeZ+2JuQPIJ571ulpjAhwiBlEQWbgTOGoH7ZGFTmdWjQWwr4813JeK4RT4vIy+sJSqyqkZnmMQWFlnaMgu6ZRgDQGfuuKD2D/iSN4/Zn/hyfPuhgPnXNllh+kCuQUCuWEjOtfOIwrTh/D4+degvsv3oOk16380hboQg+3wVPogZk/oP9PRH8fwD5m/iQRRQDOZebniagH4B0A7tuUWbeAoHLLlHAIh5lopCT7kIJiWCp6jDQJQAFyD6NurWEy4hArmDwUaLVh4ZtZEoUp4gpbNwmlkMqqsdPYmoTzv6pmWCoSQhJk/Rg5yEQkJQw2Q4uNsNQgGYcl5/NKq8NvC+LPDEdtmL9o91wstNNI2BmOCox7V+7nY7iCX8QTdB4eop3gfr+gtPSDY8Ap9vMxXDl6GU/whTgQXDajGCpu9PN1MM9VfO9C1iQTFTaRKcI1TTHUxPuoPXh6LAGZV3A9QNiPEJ3u5V7GZEcPJ4IdOLORLbIkoxDxqR566wGidaB/mhEO0rF3cWMIDIe5WKybG+AJv29JlUheWrE4496KzBwT0UeRtc4JAXyRmR8hot8GcICZv0JE+wH8GYDzAPwSEX2Kma8BACL6DrI2O68gojUANzHzPe6jLaFgXCXCwJO+5PMyjj9vFo5aNa7kXWzQWqOWgL392epIQ8BXQ6dxaw0FR8H4AcHyKuqV+zwsVdPm4WzKHBdfLqPdDByYjXexLiwVyIRiCpS8ioU8Rr0/CvDAq36ylLNoE3CKz/zgDuw5sYbVdIhB2MejT+/Cx9/8kekL5DAmDUmdhtsA3ElENyErLvFeICv0AOAfMfOvVnx3BcA9SiyGyMTif5zzfNujPIzAOByVksyhlYQ6ZBB5iw1OCKRundQKCR2mIaI0Qj9N0DcqmWTicXZFubSX0QxLtSutDvkstX2EDfRUTuMWWrhoEIplo/MYAYzDUvX/lQ1y5jHCH5aaL0R5RGNVKGpOTf4igMxT6minYYejlnZNAR6gS/KcRdcDJ/Ui0HCI30n+Anv4BawmMQajCIdHF+HWlXe6CsR2hYlX8X0LWfOYpLBJONpRtMFZDEZtozAcC60zA1AQgNY3EJ3qY+VEiOErQyRnBRhSH8OzlchMCOGpEL1TQG8dCAcpwjOGd9EopqOPU+fxtD9vKyBFLG4ezHwXgLusbf/S+P9DyBa5XN/92TbHWirBGJB+qBk/YNni0SUa7bBUlyBsUvimCa7wVF8vRqC9Z9GFrxcjoESWLWYialzYBUD7fozm9xzb7JYTk1JXQbX5fvxNuOuO78pjNMNSTS8jGran2P/iY9hzYg070iEAYEcyxN6XjuK644fwvy+5pv1EF0zTQg/G9jsA3KH+fxrAX5/vDGeAymHkME9py0JTtbdaeRnR4yyHrVdcJEpnWBlVF7xp612sCkv10Q8SDKsqpAYq/3rB0XyVD0x5H7Uw9xBmgiswIjnGXkVKyZvHmH3XEoXjFPTxd4Li+/z/HjvUJH+xNMZop6HPM5+Syl+0i5nVPVju52PYwy/k+Y47EGNP/Cz2bTyNB8/aXfndWnhiD2PNbqdbxRe2N3YBmSoPXqOejKZo3BiCogHC9RVEp3vonwwQn0XgMEAcZ7nM4YgQnSJE60C0zuidThGux6D1jTxvUYvFSQvPFPrSeu7xRmG3Iha3NEslGF1UeRzrwlLbFsCpq5TaliBkpFOKRQ1HKiLKcT/7KqWmSOsL3/R6eViq18uo0OGoTULCOAyzUNgoyObSsKhLk8vtbDFiTclypOSi0RWW2iaP0eVZrMQSzxwGuPL0MawqsahZTYa46sSxLSkYlwHC+CE+L3iTFr2MUGPYGMvGr8ooDbC6aTNuRt8odFP6LIjz0Pt+mGAQj8cFYYpkVBbBVYtbdbSuoNnEu5gkhXGUJJlwNMJSKSYgpIJXkRIGheTMYwSQ57OaYalmLmOlR9Fsx5FW5y/aNkjnL5baaZjhqB7PShMvxJXBy1hNyhVVXx8/jwcxpWCcI9Os4htj7oBayBI6jh2OOoMiTE3FkikaKQyB4bDgZYx3hCo/mgAiUAxE68g8jKdN76IKRT0zKInFqrnUFbiZWHQuu1hknktV2s2kI3XmFsvqDJPRXb0Zm9J3uKk2sxcj4C8G4w/nDPwevwrhZ+cqenMXW1RIzeZCs6sIqvfrOA2O3NttbC9mm36MpfYY9nU23ps/gyNn78Qg6BeGDsI+Hj9nZ+UcGqGN3ox6NQkKVl6eEee5Z0FazEHLRYJ+llceRrPNjp37PCt6oMJLo72Qrp6M+RhlE1cM27hiN/1Dlrs9S+wqnwVcv5P6QSkMiyJQCyG74E2FAM1aUWTHppTzSIKsvYY5x2x7YAi8SbG9i/bldOUvAhjnL1a10wCqz9cSixRFhZdGV1Q12UCEJ6MLvPsWhM7Q4m/ZNG0k8tBRLfTODBCuD/O+jL1TQO8k0DuRCcXoTJa7aHsXeVT0LHKSNPJyzlrcLb1Y3CaIYHSw6li+XVV/5VepLAh9InFlCvG4SHyisTKEMwrAoQoXjcJyOKl6T1aBG/2qZIIiFByRd76u8/MK5RaH1s/qrpxI8/PitrJQBIptMAqCPArGLw8PXLgbh865FOthHymA9bCPR8/dhQd+Yk/TUxE2GwbCUSYKtWiEKoJDSfEFIK+ErMWiL2TdRc9yj/coLuUeFj6fcTxor1U8+wywPfla+Lg8ZdbqeuPcHZ3nl3BBZPka31Nq5BI6KpWWYL0/9+Hz7T7d3iR/ESi209AiN06c4ag+XBEiWjg+FLwGh4MLcAYRUgBnEOFQdBEOrFzm3V9jdH5125ew3NgisIkotNtp1FQenUQwaaHHGxuGl3GE/slMNPZPAP1TmWDsn+Syd1GHoo6q51Z5/BkIPRGL24elD0nV+EJTfWGpbcNR7WI3TVpKNRGjAAAeu0lEQVRr+HoxBmFa8Cq4qOrFqKlrrRGAnZVSU8Bb+MaJEZZaR/6w4RGcbanzplWJuiZikaNyeKrvOJOEpeZNwHUuo3MOQT4WyApQfOIN/wD7X3ocV6wfw+OvugQPXLS7UPCmo10NlhaCeohHdn/lgiJQ6W0JkEQAJVn+sF34xmSYhNgRNbvfTKFo9mCsy1/sgTCaQ3/gXpBiWD/MSSEvz7ZP+j5r8fBSEIu+dhp6n3YYV8IgpPn9a4alclBurwGgnMeIclhq/pn1vjDvGk+jL3+x1E5DnYcvHLWUv9hgYS+lAL+18lbsT5/B69Mf48noQhxYuQw8bTEuQZgFLrE4QThq0/DP2v0kSdafcRSDhkOE60P0ToZIeoQgCfJUmHCQIjqdOL2Ls5gDUB+qWvVdAZlB71Z/2dbIY6OHuoqpLszCN20FZVNm0YtxPFb9p1I4uvMadRuI2hVas9+iKn5j9jozKT1w2J7HCUXjvMWRKRrtXMZsW7G4TV17jdLD7gQkUYT7L7ga3432OsNdhY7B+kE+E40ccFbkJjQqZxq/FnnhGygvY5RkXkb1ux7PqAhOlXdRi0azJ+OqpVYGnIVG616MvYqcRpumGqJRhVAPjcrKV4nFOBnbJaP4je7JSEkKDsM8LFVHPZjtNQBPHmNpssjX/JyLfcbvhw5lbpO/mH+m2mk0qY6af8e23SUBneTj0jjGA+GleHDl8mxbvxg+LwibzjRpE3NOuchzGTcyL2Owo4/e6bCwEBQO0qzv4mCYexd5Y6MgGqeeRwvhKEJxe7JUgpEArKinkA0uP2VUFcDxMYkwbNKX0dWLsY5JK6amYbaSXVUpNQV7CuIQArUsrj1gVe018rlaorHwwFEhDCetkGp7GusqpLYJRdXjXZ5Gu/iN9hbZc9GeBLO9hq6WanoZARQ8jfb1KIayzkEkMjf2FgstYCDcyNouJP2sIIr2MmqnDiXqQT81tMGE7XR8VOUiNvnuiGf/O9e60I1HCDX1LtaKRZcnzeNlRJQJMLNaKoVFe6T7MebtNYx+jOMx/rD5JjTJX3SFo+bnBowbf1vVUQu22/cwGRqiumI8K9tfyt9uwjYoKiF0GKudhq8C6qy8i+Y+OEkywbiSeRkRECiJ8sXnYJggGIxAg1HmXTwzmPq4VfMxyXtIikisZhvYp6WNA1lpEQJztspbXHUUamhCXSGcfsP99qKKGzKY3ivFUXUV0dpiKSqP0Yn2Fhpi0FUUobzP8mdmhdQ2+M5NP4hVnntQfrU5jkugplF1MSHvXHR1WLPoTYMHrFm1ERFmD/G4OqUWipSoAji2pwgwPJIZuhejGX1gVmAeTaM2pmCVqgNMXYVugqo2Gy0pFW4Bmlf6bCoW9aJYkhRyGfXxAV0t1chhNH7OgDuPUeexFi6Rz8xX5Tg2zF8sYYej1mEVCjJfrjEFomiinpeCMFc6EkKo+yjmXsbBCNGpEXonR4jW4ywU1cxdVN/ZDBE3jyI5QjdZWsEIuEVjk4qpbQrfTEK/tldFEQpnm0vEYXXhm1aeqygcP2Q5RKNzvDm2ZrxuqaErpLahaaEbnzi0t5e+572GfqFoh49qj2GlgLQ+M9/bFWPN405VLVWYLaxEgqqiqQUFgFw0aBHRpmbMcIp47CbFbvSYJj0bbbupi980XTBrixly6QqtrGxObYvFKKouvuWIpKBEF8EpVkutyilsVCXVvtTWezMctUoYuvIXq8JRK72LSuyVBKIeZ27XVWjDMNtWFfIrCFuAzRJmSNOsAM4wK24TDEbqNXTmLgrCLFmqkFQXKxQ4w1OByfIYgUw8DlJ3mOqkvRijMHVWQpxlL0YbX+EbQIeiAr48xjws1Zf7ovIZS9t8NMxf1IKrTYXUKup+/By4c6h0LqM+pq8n43h8dj1NL4QORbVDUwvHrxCH+ZiZhqayVBacE8EwBfpZTGIaBYVwVC8pwWO+avF5/1zib5WKN86Am/8OuHoxlop+BQnONMxtrEIXbSkVbwGaF7xxicUmGPeFzmVEqLycYVAsVJMygpha5TEWwlIdp1e5kGC0ZmmV85kklR5ZAAWxWEBfR+O7uoBHCdO+T7OQVXvDCMIE+MJRLc/7rMNRzX3lxW/6KWh9AxQbxfBi4z5VlVFFNHaQLW6fZGkP7cJTTVyextK+O9Rag8Msl4aDdsKpyiMGwPDwBf6wVNvLCIzbb9htOHJPZPEBpG0IKofkLHiTFrxseps+hvH9hoczx1V5GZuGpVYVqeEwKLzM7xTGVYhEqZDaPSjNFguCYZp5fLSXUXukVIuNrF8jgRIqFbZKPdVS6vKl67DFom9b4/15bGJYE4padT+2auHY9I92nVdRU2rynYyLvOT/puOwVEeOZV0/xmlaVLryFynh6vxFHY7axLsIh3fWFN36vdpWCFUNgvE1DsNcLEr0gyAUycNSh0NgYwgMVc7icJRvE6EozBN5dHQwSfGbWeHyOPaCFCPHw2Cj9hoB8tYa9gp0QcwACGueo3QrCG9RCRdaCMbJuGJqVZuNmsqoOn+xDZvx8GF6GnUBHJ+XEdCFhsrVUu0qqbaXsXYeHhEp+YtdR7U0iAGEOpeRVNhg9tDf9DGgqoryPDBbbGRFc7KZjozVk9VghFHS/M9NMEXxnQKm+AHG/dJ84aha6DT2KhqehigqVE2lOKuUqovfmOj2GpRmxW5cZjxI8jWCYrsNh1bXtqUkLFN73ATXtYF3MTu42S/WOmF9nYJgvD9zvLGfSQubgXmqZumCUGCK/MV5iTZOEmAUg/S9o//eJ6l4F4W5I4JRURWaCvj7MQLFSqlma43SMWp6MbahViyGnFVhbxGumolLJR4rW22Mq3r6+jFqL6Ovd6BTNBa8j9VVUzkqetjqsKN+6zystjfDFzVsPqD5wlNLLTbADvFOqoKqIRaVeKwTjXaeo987OYP8RYazJYowJQwVbhxk7RdSd99UX9ihbq0xK8a5if4bZZXCytDUrJVG0b6tBCOMHL1lvUxQzEvfQ3b49sSh1Kb9qdqHs4dbMSyVwmJ7DZO8J6PRj9FFXR9GV/6i/X/TTnnzF3U4KlDvXawT2np7HJeFpa6MGoX+ommC0DX04pOjOuo8KLS16KnFd31IVcFYhGKH2QYLWhKSWsOqpQDaVEptErJaR9SyAA6QhZ5Oiy58U99+gqzCM0HZA2iGnJoPFL1e8ZWPj8bfy4/j/lVtU/CmqghNdozqz9t8pvdlfu46vitsliMai0BLDKbqM/NVhfRf3BoQZ6XRddiiDkvNH+7tHnrpeDGoLspgs3DnPrb7A1kXllpFU9Oc/9G2H65s0WOHyuttLaA4KVdpNQ9pFTjKPYWOy2CKPr140KYAUmluDauleh9ydNEajb3I50o30GG+driv3V5jkrYagjAPatppbDacJNkc0jR/5eGqgjBHxMM4IZP0X6yjHyYYNlh9D4PUG3Y2aS/GKnT/wAm06zgpGxgXutGhqS4qQsHqVp/rCt6U9+fZblzaJq0wC6GnDbyM+r3dk9H2MjYNQ82+W/Qu+sJRJX+xo3DRCwWVv5j9zqhm70k5LJUTAjX4mfZqlMUqJRP1YKzzMs6VCm1pehdzbxkwDoesW4mvK8BlexrNsE3TtoVhHhab5QgSKKYs7LgmN7zQj7HG6whU5DkaBW+qcOYv6ofkqodRMw/Rd91cXlq9Tdv1kICQJheLzPU/V0FoQgfDUQvEcbHuVRznQlK8jB1lG/RhlMdHD4vMY5yYgGfeyNskEzSMAFQdjqoqpGYhscbDgc7v8YlGVxhqaYW/Wf/FJgVvinN2ja09TGGsLRp1LqNrDoXQU31djbFmLqMZmgqUQ+18D1h13sU25zfeKYN9+afCFBRFRZAEeVhqlnc2Fo2zqLPWNwSk6QU0vYR2OOqKUqYbXP6lNvMYbVZpiCGfpUJUx4tsK0GMEYcYBSHWJzuNEqWWFebDU5M/1q4FK6PpfCNULlH2XTOnMQX67ptO5zRykOU06vXAPI8xNN5X3bd2sRw7h1G30nAUvPFihNxRT/XNtb2LQFkA+vZVqIiatdeww1E5kMgIoftstjgzj0ee7YIwL0QwGtTlMU6D3WqjSf5iL0gwsgvgRAlGcfkPchvPojc0E/WFbwr7ichY+A6QIkUAR+sH08to4s13KYpFl0DUYbC1c3QIxGLlUuuzKSKhTNHo22632EgBRKMUb/7RQex+4Ud4/JzX4P6L9+TCP2+pYQrIGoHoui7Sf7HjpErcxJR5GWPdHiL72BSKbcMQV9RKRJ2XsXIfhhtzhSKnaGxDjxJszPnPj8vm6GqfhXFNhY8pHB1eRh2qVtifzgcMCRxGmddY5TEiobzwTdt2PzZO76IZxtzwR2/nL9JwiP2jo7gifg5H0lfhAO8qLgto76LrmrmEtu+a6uqoUSD2Seg+Fe00NgtbJIp3UZg3SyUYA1C+aj6PMKqq/ot19IN4qibbdXCkvRRcWQjHLHyTy5JJL1UUVHsZnd9xPzn5wlGb5C9O4klrUySnVP00cXsZS8VvEkaQpvi9b96Oa154CqvxEIOwj0dffRk+fv2vIo0y4eASjTa+ayDhqFsFBm3Ehd9zLQLyUMI5rGX1HC7wnlVsZ8UR82qKRjssVVdKtQvejD8v92WMDFdYFKYYjrLCXslIhVqHnIVyNqB0j1jhlU7MsEqg2ktWg/bEZZVTQ9VmI2xUXbqy8I3aVudltAveNEEXvDEJOMW/PnU3dsfPYhUxBohweOMC3BK9HSlC/zXziUIPHI1FY94yaKLca5aCXEtEaaFnHnQsf1GT2xjjvdB1eMsL+qXNLJ+mj1hxP+7wPF+vsWmIPO6/oKLIDYc8ldcMyERHVgBnHOrpWwUuFL8x56Hfm97DqoISLu9iRThqXf6iLfjM9/q51nedaiuqNsxzdI1/8zOHcM0LT2FHPEQAYEcyxN4fP41rnzus5lbur2hus9/bxXKazEfoACr/ihJV+EY1nvcVcpmm2MmscAnJYkjrePL9OU24Vhh5RJpXWLgWrFTYZOF9Pt66BqoHY16UwloYK/RjtLBzDKvq//gqoFaNdbXU0BVSCyiBvW/wFHbHz2IH4sw2Icae9HnsS49ZxW7CkljkKHS+TPJtIYHDcPJ2GoIwSzqev2hWZdUvQdgMxEJ3lH7DCjNBVQzpDKqlVpGGlFf01NVSS0RB7jUpiUb9/1IlveJ427tYVxShbf5ieZy5r0ZfcYa5agFqOlqK4wg/+eKPsBoPC/taTYa46uVnLO9gtXA0x+ShqY4m2FOHe+nE7bYvoZpUFewwPT3GA36ut6b0Mjat3DzJgprtmQTKHsyq4ze1eU3w9hu02kM4McWPTygCzSqmxnEellqqlqrEmq6UOp67MSZ1bFMEtiexwe+GrrrrrZBqzOOK+HmsonitVhDjiuSFYiiqcb1KwlAVstGUxKMSizBsFQfNC5cJgpCx1b1XQvdZ6iC1phX+VinFgIPKXoxtOCsc4kzSn3o/VXBYHXo6b/ICLerhl8Ow+MDkC0v1VtkrisTUJ1ALc2iXvzgtxZDTYmiquc0ce/j8SzCI+thhiMZB2Mdj510y3q8KRdWCsKoXow8JR90CxJmwYPRUHnD2C+qqjtqUfkWviSYtL1xexM2GQgZGU9qyuOVKvC+MMlQhpvpfBxzH46JfK0U7ryvhosWfkdpCN7PCEtlPRBdggAg7DNG4gQhPrlxU/m5YFIHlz32RH8rDqPrq5uGoEwhGZgnNEzaBTe6/6IKTJOvHKGwZtoN9WoiHkYjeS0SPEFFKRPsqxt1ARIeJ6AgRfdLY/joieoCIHiei/0pEM1NfKzT7S7JSE57ab5Bw0nPEJ/m8i9TQs8gB8n6L476LanukQ1D19nFYqgvTy1gSL4bYK4aYhuWXNa5QOc9V/KamF6FrvlXhqFXeRftaufsquufh8zL+5WVX4+ELX4v1qI8UwHrUxyMXXIb7d+5R8ymHmFb1YqzyLubf1x7QLfL3hoheTUT3qvv9XiI6zzPus0T0sHr9PWN7K3uxEPukPbfKy5jvqyrvbcIAglmGy2tBWeWR1MK0zXF94fcu/N5Etd0Qdk7vostbpse7winbPKjpsFS70I4dBqq31+U5tvUwt2mpYXGgvwuHwwtxBhFSAGcQ4VB0EQ6svrZ4vRxikcOw0asoFqmz1VF997rx+Yq614+oe/9y6/PLiOgUEX18ynl09tlJ2FxMj6J4F5eXaWwTEf2m2n6YiN5ed6xFhaQ+DOCXAXzbN4CIQgC/D+BGAHsBvJ+I9qqPPwvgc8x8FYAXAdzU5KB0PEF475lGxQeqWG3aIXpCmgjIaeCQpxILZh6jDkvVBJzi+hcO4QNHv4VrX34MVBBg41DTqnyVklg0BWcYACHj+hcO4YM//Aauf+4gAk5b5S82O8dm+3AJR/3eDk01t+lxaRDgn/zizbj1b34It7/xBvyLn/kQPvZzNyOlcbVAl2h0zqXu8xmEeTEz0lHc+jUlnwTwDXW/f0O9L0BEfwfAXwPwRgDXAfgNIjpHfdzWXmy6fXp1ehrXDv4vAqNKc1Bnp2b4bN0jLuQfuseE+WtaVoMRVoK4VLm1N0fbF3CK65I1/Mrg+7guWUPAqbtwhpGHZ2K/d0GjIa5L1vD+M98r/Tztvzv2z7dNXqL3+DO8fCkFuOWVN+IzZ/08/vPKm/CZs9+CW897B1K9qOoQi7kQVO/rXmzbdmT2rks51jX3uuYmAC8y85UAPofMBph8DsDXZjCdhTw7LQ3mwknLSqiLEG2cJCIWl5hpbJMa9z4A1wC4AcAfqP15WUi8ETMfBACiyieeawEcYeYn1dgvA3gXER0E8BYAv6LG/TGAfwXgD+uOS8cTrPzj55G8qY+NP7kICKkyLLXLvRjDIEWSOkRXRS9GXSl1XgUzAk7x2e9/EVefOIrVZIhB0MehV1yKW676INIoAOK0EJqqHxbysNXCw4P9sBbkx/jMD+7AnpNr2THCPh59ehc+/uaPIEXYOH/R9UDie0hpIjjNcFTvGE/F1LgX4juv3Yu/vHRvoUBFEGcijxLOq6pqUWgWzSjlMlreRdf12CreRcW7APy8+v8fA/gLAJ+wxuwF8L+YOQYQE9FfAbiBiP4ULe3FIuzT+XwGn3zp6zi08TBu2fEBpMn0oe9NWTV+cc08RDMc1RaJPQox8trN7Hdz0NB0VonEIEyRxvXrmj7PHKmw91LFz40Ih+MLcevqLyF1rJv6xCFHoWqTYXyuHiwDTvHp4TexO3kuO8YowuH4IG696N1jx6BDJM6qtcakVPVgTCnAg71deDC8PBsbRsU2Ghqdi6j+X8d4UVD/m3kXdTjqRJ5GnlsVQue9DuBRY8y7kN3nAPDfAHyeiIiZmYj+LoAnAZyediKLenZaaqqqKwtCU+Zjnya2TWr7l5l5A8APieiI2t93fQfrctGbSwAcNd6vqW3nA3hJPRia2xtBpxnh94YIvzmY2UTnTdSwGERVKOq0lVKr0F7G/T9+DFefOIodiar4mQ5x9ak17Dv1RDbQV8SmyuNorUDvf/Ex7DmxNj5GMsTel47iuuOHivusyV8sbA/849o8xLm+18TLaGJ+Zgs9U/Tqojc+seijSyv3LfgJZj4GAOpfRxIV/grAjUS0g4guAPC3AOzClPaigpnbp7MQY8/gGPadfGKqiYUqfH3SSAU7vLTOo1gQlobgNIXoKo1zdF0h+lW5lk2pCud0VvxMnsO+ofoRGuGVBWyvGBxiUlVK3Tdaw+7kueIxRsex7/ST1jzn8ADq2GVVldVWqGtS8Maa3kWHWNQ23fcCLLHYUe+iwnevO8eoe/9lAOcT0dnIFrc+tQnzLM1FMZNnJ0EQOsfEtqnhdwvMzcNIRPcBuNjx0S3M/OdNduHYxhXbffO4GcDNQHaF9gHAOuP4h597Zg041mAeXeMCAM8vehIufgjsvA94TWFjOsTxw1+yr/XE53AI2Hm3fYxkiOMP3rGIn2dnfxYt2N1m8Em8eM996Z0XTHCcVSI6YLy/nZlv12+q7EWTnTPz14loP4D/A+A5ZKtkMTz2ogv2yWmbeITjT935zNpTd4ptmiEPAzu/atsNxDj+8teeWXu5ZDcmOo+HgZ13uY7x0l3PrL10l9im9nTCNqHZPe0b8ylkIaCnaryC4x11wDapeeT2CcDGfemdDzc49nwxF0Hap2Jvh3tCzqE7bIZ9mqdtamUPgDkKRmb+hSl3sYbMQ6C5FMAzyH7RziWiSKllvd03j9sB3A4ARHTgeWZvovhWgIgOsJxDJ9gO52EZo1qY+YZ5zKPKXhDRcSLayczHiGgngGc9+/g0gE+r7/wXAI/DYy+YuTbBu4ap7ZPYpm6yHc5ju5xDm/Hzsk3w3+uuMWtEFAF4FYAfI8unfg8R/RsA5wJIiWjAzJ/3Hayrz07b4fdJzmHxbIdzADpjn6axTU2+W6DLIakPAbhKVfXqI0vO/AozM4BvAXiPGvdhAE1W3QRB2Jp8Bdl9DnjudyIKieh89f83AHgDgK/P0V6IfRKE5cB5r1tjTBv1HgDf5IyfZebLmflyAP8BwO9UicV5zldskyBsOya2TWr7+1QV1dcBuArAg1UHW1RbjXcT0RqAnwbwVSK6R21/DRHdBeSxth8FcA+AgwDuZOZH1C4+AeDXVZLm+QC+sNnnIAjCpnEbgLcR0eMA3qbeg4j2EdF/UmN6AL5DRI8iWxX/oJGr08peiH0SBEHju9eJ6LeJ6J1q2BeQ5SweAfDrcFRyngVimwRB0Exjm5RNuBNZgZy7Afwac3VjeuKOVgGdB0R0sxX/u+WQc+gO2+E8tsM5bAe2w89hO5wDsD3OQ85BmCXb4Wch59ANtsM5ANvnPNqwVIJREARBEARBEARBaE6XcxgFQRAEQRAEQRCEBbJ0gpGIfpeIDhHRD4joz4jo3EXPqS1E9F4ieoSIUiLaUtWmiOgGIjpMREeIaC55HvOEiL5IRM8S0eJLjE8IEe0iom8R0UH1e/RPFz0nQWzTotnqtgkQ+yTMh+1gmwCxT4tEbNPWZ+kEI4B7AfwUM78BwGMAfnPB85mEhwH8MoBvL3oibSCiEMDvA7gRwF4A7yeivYudVWvuADCv8u2bRQzgnzPz1QCuB/BrW/DnsB0R27QgtoltAsQ+CfNhO9gmQOzTIrkDYpu2NEsnGJn560b1xPuR9R7ZUjDzQWY+vOh5TMC1AI4w85PMPATwZQDvWvCcWsHM30bWw2bLwszHmPl76v8nkVXXumSxsxLENi2ULW+bALFPwnzYDrYJEPu0SMQ2bX2WTjBa/EMAX1v0JJaISwAcNd6vYYluti5CRJcDeBOABxY7E8FCbNPmIrapg4h96iRimzYfsU8dYxltU7ToCcwDIroPwMWOj25h5j9XY25B5l7+0mbOrSlNzmELQo5tUqZ3QRDRKwD8dwAfY+YTi57PMiC2qbOIbeoYYp82l+1gmwCxT8L8WVbbtC0FIzP/QtXnRPRhAO8A8FbuaF+RunPYoqwB2GW8vxTAMwuay1JDRD1kBu9LzPw/Fj2fZUFsU2cR29QhxD5tPtvBNgFin4T5ssy2aelCUonoBgCfAPBOZl5f9HyWjIcAXEVEryOiPoD3AfjKgue0dBARAfgCgIPM/O8XPR8hQ2zTQhHb1BHEPnUPsU0LR+xTB1h227R0ghHA5wG8EsC9RPR9IvqjRU+oLUT0biJaA/DTAL5KRPcsek5NUEnzHwVwD7Jk4TuZ+ZHFzqodRPQnAL4LYDcRrRHRTYue0wT8DIAPAXiLuge+T0R/e9GTEsQ2LYrtYJsAsU/C3NjytgkQ+7RIxDZtfajDkQWCIAiCIAiCIAjCAllGD6MgCIIgCIIgCILQABGMgiAIgiAIgiAIghMRjIIgCIIgCIIgCIITEYyCIAiCIAiCIAiCExGMgiAIgiAIgiAIghMRjMLcIKJdRPRDInq1en+eev9aIrqbiF4iov+56HkKgrBciG0SBKGriH0SuogIRmFuMPNRAH8I4Da16TYAtzPzUwB+F1k/G0EQhE1FbJMgCF1F7JPQRUQwCvPmcwCuJ6KPAfgbAP4dADDzNwCcXOTEBEFYasQ2CYLQVcQ+CZ0iWvQEhO0NM4+I6DcA3A3gF5l5uOg5CYIgiG0SBKGriH0SuoZ4GIXN4EYAxwD81KInIgiCYCC2SRCEriL2SegMIhiFuUJEbwTwNgDXA/hnRLRzwVMSBEEQ2yQIQmcR+yR0DRGMwtwgIkKWuP0xZn4aWbL2v13srARBWHbENgmC0FXEPgldRASjME8+AuBpZr5Xvf8DAHuI6OeI6DsA/hTAW4lojYjevrBZCoKwbIhtEgShq4h9EjoHMfOi5yAIgiAIgiAIgiB0EPEwCoIgCIIgCIIgCE5EMAqCIAiCIAiCIAhORDAKgiAIgiAIgiAITkQwCoIgCIIgCIIgCE5EMAqCIAiCIAiCIAhORDAKgiAIgiAIgiAITkQwCoIgCIIgCIIgCE5EMAqCIAiCIAiCIAhO/j8qTWMVNgReAwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GP regression
\n", "Objective: 9.842461840558926
\n", "Number of Parameters: 3
\n", "Number of Optimization Parameters: 3
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "
GP_regression. value constraints priors
Mat52.variance 2.739129381272947 +ve
Mat52.lengthscale 1.0370016278363612 +ve
Gaussian_noise.variance0.0052689541438551771e-09,1000000.0
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GP regression
\n", "Objective: 1.3535506237840274
\n", "Number of Parameters: 3
\n", "Number of Optimization Parameters: 3
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "
GP_regression. value constraints priors
Mat52.variance 2.273080870245484 +ve
Mat52.lengthscale 1.0537165520056304 +ve
Gaussian_noise.variance0.00217940807403683041e-09,1000000.0
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GP regression
\n", "Objective: 6.836830524303437
\n", "Number of Parameters: 3
\n", "Number of Optimization Parameters: 3
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "
GP_regression. value constraints priors
Mat52.variance 2.4230073129206877 +ve
Mat52.lengthscale 0.9216333827190409 +ve
Gaussian_noise.variance0.0015763071150683931e-09,1000000.0
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "BO_EI.plot_acquisition()\n", "BO_LCB.plot_acquisition()\n", "BO_MPI.plot_acquisition()\n", "\n", "display(BO_EI.model.model)\n", "display(BO_LCB.model.model)\n", "display(BO_MPI.model.model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### Credit\n", "\n", "This notebook was written by Javier Gonzalez." ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }