{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Some experiments in Gaussian Processes Regression\n", "> Using GPy and some interactive visualisations for understanding GPR and applying on a real world data set\n", "\n", "- toc: true \n", "- badges: true\n", "- comments: true\n", "- author: Nipun Batra\n", "- categories: [ML]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">youtube: https://www.youtube.com/watch?v=V1bF37-_ytQ" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Disclaimer\n", "\n", "This blog post is forked from [GPSS 2019](http://gpss.cc/gpss19/) [Lab 1](https://nbviewer.jupyter.org/github/gpschool/labs/blob/2019/2019/.answers/lab_1.ipynb). This is produced only for educational purposes. All credit goes to the GPSS organisers. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Support for maths\n", "import numpy as np\n", "# Plotting tools\n", "from matplotlib import pyplot as plt\n", "# we use the following for plotting figures in jupyter\n", "%matplotlib inline\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "# GPy: Gaussian processes library\n", "import GPy\n", "from IPython.display import display\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Covariance functions, aka kernels\n", "\n", "We will define a covariance function, from hereon referred to as a kernel, using `GPy`. The most commonly used kernel in machine learning is the Gaussian-form radial basis function (RBF) kernel. It is also commonly referred to as the exponentiated quadratic or squared exponential kernel – all are equivalent.\n", "\n", "The definition of the (1-dimensional) RBF kernel has a Gaussian-form, defined as:\n", "\n", "$$\n", " \\kappa_\\mathrm{rbf}(x,x') = \\sigma^2\\exp\\left(-\\frac{(x-x')^2}{2\\mathscr{l}^2}\\right)\n", "$$\n", "\n", "It has two parameters, described as the variance, $\\sigma^2$ and the lengthscale $\\mathscr{l}$.\n", "\n", "In GPy, we define our kernels using the input dimension as the first argument, in the simplest case `input_dim=1` for 1-dimensional regression. We can also explicitly define the parameters, but for now we will use the default values:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
rbf. valueconstraintspriors
variance 1.0 +ve
lengthscale 1.0 +ve
" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a 1-D RBF kernel with default parameters\n", "k = GPy.kern.RBF(1)\n", "# Preview the kernel's parameters\n", "k" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see from the above table that our kernel has two parameters, `variance` and `lengthscale`, both with value `1.0`. There is also information on the constraints and priors on each parameter, but we will look at this later." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualising the kernel\n", "\n", "We can visualise our kernel in a few different ways. We can plot the _shape_ of the kernel by plotting $k(x,0)$ over some sample space $x$ which, looking at the equation above, clearly has a Gaussian shape. This describes the covariance between each sample location and $0$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Our sample space: 100 samples in the interval [-4,4]\n", "X = np.linspace(-4.,4.,100)[:, None] # we need [:, None] to reshape X into a column vector for use in GPy\n", "\n", "# First, sample kernel at x' = 0\n", "K = k.K(X, np.array([[0.]])) # k(x,0)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(X, K)\n", "plt.title(\"$\\kappa_{rbf}(x,x')$\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Writing an animation function routine for visualsing kernel with changing length scale" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
\n", " \n", "
\n", " \n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", "
\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, ax = plt.subplots()\n", "from matplotlib.animation import FuncAnimation\n", "from matplotlib import rc\n", "ls = [0.05, 0.25, 0.5, 1., 2., 4.]\n", "\n", "\n", "\n", "def update(iteration):\n", " ax.cla()\n", " k = GPy.kern.RBF(1)\n", " k.lengthscale = ls[iteration]\n", " # Calculate the new covariance function at k(x,0)\n", " C = k.K(X, np.array([[0.]]))\n", " # Plot the resulting covariance vector\n", " ax.plot(X,C)\n", " ax.set_title(\"$\\kappa_{rbf}(x,x')$\\nLength scale = %s\" %k.lengthscale[0]);\n", " ax.set_ylim((0, 1.2))\n", "\n", "\n", "\n", "num_iterations = len(ls)\n", "anim = FuncAnimation(fig, update, frames=np.arange(0, num_iterations-1, 1), interval=500)\n", "plt.close()\n", "\n", "rc('animation', html='jshtml')\n", "anim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the animation above, we can notice that increasing the scale means that a point becomes more correlated with a further away point. Using such a kernel for GP regression and increasing the length scale would mean making the regression smoother." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Writing an animation function routine for visualsing kernel with changing variance" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
\n", " \n", "
\n", " \n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", "
\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, ax = plt.subplots()\n", "import os\n", "from matplotlib.animation import FuncAnimation\n", "from matplotlib import rc\n", "variances = [0.01, 0.05, 0.25, 0.5, 1., 2., 4.]\n", "\n", "\n", "\n", "def update(iteration):\n", " ax.cla()\n", " k = GPy.kern.RBF(1)\n", " k.variance = variances[iteration]\n", " # Calculate the new covariance function at k(x,0)\n", " C = k.K(X, np.array([[0.]]))\n", " # Plot the resulting covariance vector\n", " ax.plot(X,C)\n", " ax.set_title(\"$\\kappa_{rbf}(x,x')$\\nVariance = %s\" %k.variance[0]);\n", " ax.set_ylim((0, 2))\n", "\n", "num_iterations = len(ls)\n", "anim = FuncAnimation(fig, update, frames=np.arange(0, num_iterations-1, 1), interval=500)\n", "plt.close()\n", "\n", "rc('animation', html='jshtml')\n", "anim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, we can construct a full covariance matrix, $\\mathbf{K}_{xx} \\triangleq k(x,x')$ with samples $x = x'$. The resulting GP prior is a multivariate normal distribution over the space of samples $x$: $\\mathcal{N}(\\mathbf{0}, \\mathbf{K}_{xx})$. It should be evident then that the elements of the matrix represents the covariance between respective points in $x$ and $x'$, and that it is exactly $\\sigma^2[=1]$ in the diagonal.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X = np.linspace(-4.,4.,30)[:, None]\n", "K = k.K(X,X)\n", "\n", "# Plot the covariance of the sample space\n", "plt.pcolor(X.T, X, K)\n", "\n", "# Format and annotate plot\n", "plt.gca().invert_yaxis(), plt.gca().axis(\"image\")\n", "plt.xlabel(\"x\"), plt.ylabel(\"x'\"), plt.colorbar()\n", "plt.title(\"$\\kappa_{rbf}(x,x')$\");" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
\n", " \n", "
\n", " \n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", "
\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, ax = plt.subplots()\n", "cax = fig.add_axes([0.87, 0.2, 0.05, 0.65])\n", "\n", "\n", "\n", "def update(iteration):\n", " ax.cla()\n", " cax.cla()\n", " k = GPy.kern.RBF(1)\n", " k.lengthscale = ls[iteration]\n", " # Calculate the new covariance function at k(x,0)\n", " K = k.K(X,X)\n", "\n", " # Plot the covariance of the sample space\n", " im = ax.pcolor(X.T, X, K)\n", "\n", " # Format and annotate plot\n", " ax.invert_yaxis()\n", " ax.axis(\"image\")\n", " #ax.colorbar()\n", " # Plot the resulting covariance vector\n", " ax.set_title(\"Length scale = %s\" %k.lengthscale[0]);\n", " #ax.set_ylim((0, 1.2))\n", " fig.colorbar(im, cax=cax, orientation='vertical')\n", " fig.tight_layout()\n", "\n", "\n", "\n", "num_iterations = len(ls)\n", "anim = FuncAnimation(fig, update, frames=np.arange(0, num_iterations, 1), interval=500)\n", "plt.close()\n", "\n", "rc('animation', html='jshtml')\n", "anim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above animation shows the impact of increasing length scale on the covariance matrix." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
\n", " \n", "
\n", " \n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", "
\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, ax = plt.subplots()\n", "cax = fig.add_axes([0.87, 0.2, 0.05, 0.65])\n", "\n", "\n", "\n", "def update(iteration):\n", " ax.cla()\n", " cax.cla()\n", " k = GPy.kern.RBF(1)\n", " k.variance = variances[iteration]\n", " # Calculate the new covariance function at k(x,0)\n", " K = k.K(X,X)\n", "\n", " # Plot the covariance of the sample space\n", " im = ax.pcolor(X.T, X, K)\n", "\n", " # Format and annotate plot\n", " ax.invert_yaxis()\n", " ax.axis(\"image\")\n", " #ax.colorbar()\n", " # Plot the resulting covariance vector\n", " ax.set_title(\"Variance = %s\" %k.variance[0]);\n", " #ax.set_ylim((0, 1.2))\n", " fig.colorbar(im, cax=cax, orientation='vertical')\n", " fig.tight_layout()\n", "\n", "\n", "\n", "num_iterations = len(ls)\n", "anim = FuncAnimation(fig, update, frames=np.arange(0, num_iterations, 1), interval=500)\n", "plt.close()\n", "\n", "rc('animation', html='jshtml')\n", "anim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above animation shows the impact of increasing variance on the covariance matrix. Notice the scale on the colorbar changing." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### GP Regresion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Creating a data set" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# lambda function, call f(x) to generate data\n", "f = lambda x: 0.4*x**2 - 0.15*x**3 + 0.5*x**2 - 0.002*x**5 + 0.0002*x**6 +0.5*(x-2)**2\n", "\n", "np.random.seed(0)\n", "# 30 equally spaced sample locations \n", "X = np.linspace(0.05, 4.95, 30)[:,None]\n", "\n", "np.random.shuffle(X)\n", "\n", "# y = f(X) + epsilon\n", "Y = f(X) + np.random.normal(0., 0.1, (30,1)) # note that np.random.normal takes mean and s.d. (not variance), 0.1^2 = 0.01\n", "\n", "train_X = X[:10]\n", "train_Y = Y[:10]\n", "\n", "test_X = X[10:]\n", "test_Y = Y[10:]\n", "\n", "# Plot observations\n", "plt.plot(train_X, train_Y, \"kx\", mew=2, label='Train points')\n", "plt.plot(test_X, test_Y, \"mo\", mew=2, label='Test points')\n", "\n", "\n", "\n", "# Annotate plot\n", "plt.xlabel(\"x\"), plt.ylabel(\"f\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fitting the above data usigng GPR with RBF kernel by varying the length scale (Noiseless case)\n", "\n", "\n", "Here we assume that observations (train instances) are noise free. Thus, the GP fit must pass exactly through the train points." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
\n", " \n", "
\n", " \n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", "
\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "\n", "ls = [0.05, 0.25, 0.5, 1., 2., 4.]\n", "from sklearn.metrics import mean_absolute_error\n", "\n", "\n", "\n", "def update(iteration):\n", " ax.cla()\n", " k = GPy.kern.RBF(1)\n", " k.lengthscale = ls[iteration]\n", " m = GPy.models.GPRegression(train_X, train_Y, k)\n", " m.Gaussian_noise = 0.0\n", " m.plot(ax=ax)\n", " ax.plot(test_X, test_Y, \"mo\", mew=2, label='Test points')\n", "\n", " ax.legend()\n", " ax.set_title(\"Length scale = %s, MAE = %s\" %(k.lengthscale[0], mean_absolute_error(test_Y, m.predict_noiseless(test_X)[0].flatten())));\n", " fig.tight_layout()\n", "\n", "\n", "\n", "num_iterations = len(ls)\n", "anim = FuncAnimation(fig, update, frames=np.arange(0, num_iterations, 1), interval=500)\n", "plt.close()\n", "\n", "rc('animation', html='jshtml')\n", "anim\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that increasing the length scale makes the fit smoother." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fitting the above data usigng GPR with RBF kernel by varying the length scale (Noisy case)\n", "\n", "\n", "Here we assume that observations (train instances) have noise. Thus, the GP fit may not pass exactly through the train points." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
\n", " \n", "
\n", " \n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", "
\n", "
\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "\n", "ls = [0.05, 0.25, 0.5, 1., 2., 4.]\n", "from sklearn.metrics import mean_absolute_error\n", "\n", "\n", "\n", "def update(iteration):\n", " ax.cla()\n", " k = GPy.kern.RBF(1)\n", " k.lengthscale = ls[iteration]\n", " m = GPy.models.GPRegression(train_X, train_Y, k)\n", " m.plot(ax=ax)\n", " ax.plot(test_X, test_Y, \"mo\", mew=2, label='Test points')\n", "\n", " ax.legend()\n", " ax.set_title(\"Length scale = %s, MAE = %s\" %(k.lengthscale[0], mean_absolute_error(test_Y, m.predict_noiseless(test_X)[0].flatten())));\n", " fig.tight_layout()\n", "\n", "\n", "\n", "num_iterations = len(ls)\n", "anim = FuncAnimation(fig, update, frames=np.arange(0, num_iterations, 1), interval=500)\n", "plt.close()\n", "\n", "rc('animation', html='jshtml')\n", "anim\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Optimizing kernel parameters\n", "\n", "Thus far we had been hard coding the kernel parameters. Could we learn these? Yes, we can learn these by applying MLE. This might sound a little weird -- learning prior parameters from data in the Bayesian setting?!" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k = GPy.kern.RBF(1)\n", "m = GPy.models.GPRegression(train_X, train_Y, k)\n", "m.optimize()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GP regression
\n", "Objective: 6.219091605935309
\n", "Number of Parameters: 3
\n", "Number of Optimization Parameters: 3
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "
GP_regression. valueconstraintspriors
rbf.variance 12.433073229232102 +ve
rbf.lengthscale 2.34663339745307 +ve
Gaussian_noise.variance0.017278356392144867 +ve
" ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m.plot()\n", "ax = plt.gca()\n", "ax.plot(test_X, test_Y, \"mo\", mew=2, label='Test points')\n", "\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.1261412756644803" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean_absolute_error(test_Y, m.predict(test_X)[0].flatten())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above, we see the fit for the learnt kernel parameters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Other kernels\n", "\n", "We have thus far discussed RBF kernel. Let us now have a quck look at Periodic kernel before we look at combining differnt kernels." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "k = GPy.kern.StdPeriodic(1, period=2)\n", "data = np.linspace(-4.,4.,100)[:, None]\n", "C = k.K(data, np.array([[0.]]))\n", "\n", "plt.plot(data,C)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The periodic kernel does what you might expect -- there is a periodic nature of relation between different points." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now try to fit the periodic kernel to our previously generated data." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = GPy.models.GPRegression(train_X, train_Y, k)\n", "m.optimize()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOy9d3xc5ZX//77TiyRLsi03uVdcZNmWuzHGmGpKCJDgEJJACCG8SMgG8v1lN5uF8M1usqElhG+SZUmyLCEGApgAptgUGxfAVe5dlm11jTSSppd7n98foxk3lRlpyp3yfr38h6Q7dx5L89zznHM+5xxJCEGOHDly5MihNjSpXkCOHDly5MjRFTkDlSNHjhw5VEnOQOXIkSNHDlWSM1A5cuTIkUOV5AxUjhw5cuRQJbpE3HTQoEFizJgxibh1jhw5cuTIMHbu3GkTQgy+8PsJMVBjxoxhx44dibh1jhw5cuTIMCRJOtXV93Mhvhw5cuTIoUpyBipHjhw5cqiSnIHKkSNHjhyqJCE5qBw5cuRIBwKBADU1NXi93lQvJSswmUyUlpai1+ujuj5noHLkyJG11NTUkJ+fz5gxY5AkKdXLyWiEELS0tFBTU8PYsWOjek0uxJcjR46sxev1MnDgwJxxSgKSJDFw4MCYvNWcgcqRI0dWkzNOySPW33XOQOXIkSNHDlWSM1A5cuTIkUIkSeLOO++MfB0MBhk8eDDXX399ClelDnIGKkeOHDlSiNVqZf/+/Xg8HgDWr1/PiBEjUrwqdZAUFZ/b46e5zY0voCAroQm+Op0Gq0nHkCIrWm3OTiaL1g4PbU4f/oCMECBJoNNKFOaZGDjAnIvHJwlZVmjpcNPm9KMoAkWATiOh00oMLrKQbzGmeolZg6IIAnJoP4QHjEtS6J9eq0WjSfyeuPbaa1m7di233norq1evZtWqVWzatAkAl8vF97//ffbt20cwGOTRRx/lpptuorq6mjvvvBOXywXAs88+y6JFi9iwYQOPPvoogwYNYv/+/cyZM4e//vWvabm3E2qgZFnhVEM7vqDAYjZi1p//C/IFZY6esVOYZ2DowLy0/AWmCy6Pn5pmB5JWi9loQG84/+dt7iC29laGFlspzDelZpFZgr3DQ32rG6NRj9l8/u9aCEFtixuNzcmooQWYDNHVi+SIHSEEQVnBF5DRaCQufeDlhLzP9ufu6PWa22+/nccee4zrr7+evXv3cvfdd0cM1L//+7+zfPly/vznP9PW1sa8efNYsWIFJSUlrF+/HpPJxLFjx1i1alWkB+ru3bs5cOAAw4cPZ/HixWzZsoUlS5Yk5P+XSBJmoFweP6caOjBbTOQZu/aQdDoteXlm3IEgx2taGTOsEL1Om6glZS2tHR4a7G7yreZurzEadBgNOhrbvHS4fYwsKcgdGOKMEIIzjR14g4L8vK7/FpIkYTUbEUJQVddBSaGJQYXWJK808wnKClW1dgC0SfCQeqOsrIzq6mpWr17Nddddd97P1q1bx1tvvcUTTzwBhKTxp0+fZvjw4TzwwANUVlai1Wo5evRo5DXz5s2jtLQUgPLycqqrq1VroBxuH0hSl0YiIQZKUQSnGh3k51uiut6g16FotRyraWPCiEIM+pyRiheNrU7srkCPxulcLGYD/kCQE7V2xg0vSkp4IxsQQlBd14ai0WI29e4VSZJEfp6ZFocfWXYyZGBeElaZHQSCMsdq7FgsJnwdZ7+/5f/d3u1rBKHnmkGnSVhK4sYbb+Thhx9mw4YNtLS0nH1vIXj99deZPHnyedc/+uijDBkyhD179qAoCibTWW/caDwbItZqtQSDwYSsub84XD6q6tuR0HT5S03Ib9oXkLs9IXaHRiORZzVxvMaO1x9IxLKyDnuHhzZXAKs5tnyGQa9Dq9NTVWdHhIPyOfrFqYZ2FI0Wgz62M6HFbKDdE6Te5kjQyrILWVY4UWvHajGj7fqZ2CUSIU/LH1SQZSUha7v77rv5t3/7N2bMmHHe96+++mp+97vfRfbi7t27AWhvb2fYsGFoNBpefPFFZFlOyLoShcvj50yzE6ul+5RCQgxUX0NDkiSRl2emqr49YR+CbMHp8dFg92CJ0TiF0em0aHQ6quva4ryy7KOxxYlfIWbjFMZsMuDwytjaXHFeWXYhhOBkfRtGk6nPkYGQkZJRlPg/n0pLS3nwwQcv+v7PfvYzAoEAZWVlTJ8+nZ/97GcA3H///bzwwgssWLCAo0ePYrWmTyg4KCucauzo1ZGREnFCnl42S7z38ZY+vz4oK8gBP+NHFOXyIH1AlhWOnmklLy+6EGtP+PwBrAYNwwblx2Fl2YfD5aPG5iQvyhBrz/fyMnKQlXxrTuHXF+ptDtwBcd5Boa3hJJMnT4n5XrKiYDLocs+nPnDo0CF0eSXojUa0Gg0+f5BJpcV7FCVYfuG1UXlQkiT9kyRJByRJ2i9J0mpJkhIq89JpNUhaHbXNHb1fnOMiTjW0YzLH509kNOhpdwfocOa6PceKLCvUNDviYpwA8q0mTjc5CATTK5SjBlweP20uf5+92AvRaDT4Arm/Q1+QZQWNTh9ViLXXKyRJGgH8AKgQQkwHtED32cQ4YdDrcHrl3IMxRlo7PMhI6OKYyLVaTNTYXLkHY4zUNjswmeLr7VitJk41tMf1npmOEILTTfE7KEAoJwXgzxmpmFAUBUWIqA8K0T7FdIBZkiQdYAHq+ri+mAg9GJ0Ec/moqJBlhUa7G5PR0PvFMWKxGHMPxhhwuH24/TK6OJdNaDUahEZLY4szrvfNZOpbnBgSUE+mkSRkRSQkH5Wp+ANKTGHRXg2UEKIWeAI4DdQD7UKIdRdeJ0nSvZIk7ZAkaYe91RbDknvGYjFxpjH3YIyGWpsjIcYJOh+MaHKJ+igQQlDXizqpP5gMelocPnwBdUqH1YQ/INPmjF9o70I0Ggl/QMmpXaMgEJTPup5REk2Irwi4CRgLDAeskiR9/cLrhBDPCSEqhBAVRcWDYltFD2g1GvyyRHsu1NcjXl8Apzf+J/ZzMZkMNLV5c6G+XrC1udEm6IEYJs9q4nTOo+2VM00dCTsoQOh5K2kkAsGcF9UT4a4dmgSM21gBnBRCNAshAsAbwKI+rLHPWMwG6lpcKErulNIdNTYneUno32axGKlpyolXukNRBLYOL8YEtyiSJAmh0dJsz3m03eFw+wjIJLzYXILOUF/u+dQdgaCCJoa6szDRvOI0sECSJIsUCh5eARyK+Z36iclooM6WezB2hdPjIygnZ/CaVqPBFyQnXumGOlsHxgSFWS/EbDTQ3O7N5Wi7od7mxBrnQ5vslmn+WxNn/uM0zaubkD2haIKmsz4qVlpaWigvL6e8vJyhQ4cyYsSIyNd+vz/q+/z5z3+moaEh5vfvijVr1vD444/3eE1VVRUvvxxd70IhBLIiYo3uAVG0OhJCfCFJ0mvALiAI7Aae68N79QudTkuHy48vEMSY4PBJulFvc2KJk6w8GqwWI3UtLvKtxlwdyDkEZQWHJxhXtVhvmM1G6podjBo6IGnvmQ60O72giW+427HDweGbDxBoPNvpRj9Ez5Q108ivyEcQ+gzEoqAdOHAglZWVQKh1UV5eHg8//HDMa/vzn//M7NmzGTp0aMyvvZCbb76512vCBur223sXdPuDcp+92Kh+k0KIR4QQU4QQ04UQdwohfH16t35iNZs405Rr+XIuHS4vCtqkGwq9QU9Tay68dC4NLYkTqXSHTqvB6Q3i9eXag51LQ6sLsyl+fwvZI19knAACjQEO33wA2SOjkUK5qHgJJl544QXmzZtHeXk5999/P4qiEAwGufPOO5kxYwbTp0/nmWee4ZVXXqGyspKvfvWrXXpeS5Ys4Yc//CELFy5kxowZkY7nNpuNG2+8kbKyMhYtWsT+/fsBeP755/nhD38IwNe//nUefPBBFi1axLhx41izZg0AP/nJT/jkk08oLy/nmWeeYd++fcydO5fy8nLKysqoqqoCQt6TosSsjYiQVoOYNBoJWZFy4aVzaLS7sZiT+1CEUJ1ai8OXa0nVidzpPSVSpNIdeVYTZ3J5wQjtTi9SH/IdPdH6ZstFxilMoDFA65uh5q6SJMUl5Lp//37WrFnD1q1bqaysJBgM8vLLL7Nz505sNhv79u1j//79fOMb34gYprChMhgufh74fD4+++wzfvvb33LPPfcAoRZK8+fPZ+/evTz66KN861vf6nItTU1NbNmyhTfffJN//ud/BuBXv/oVl19+OZWVlfzgBz/g97//PQ8//DCVlZVs376d4cOHA/3zniDNDBSEBBP1uZM7AC6PD1lJXYjNbDJQl2tiCkB9CrynMJIkoaDNHdw6abK7Mce5QNp7suffbfjnGgmCsui3F/Xhhx+yfft2KioqKC8vZ+PGjZw4cYIJEyZw5MgRHnzwQT744AMGDIgutLtq1SoAli9fTlNTE06nk82bN0dGzV911VXU1dVFhh+ey5e+9CUkSaKsrIza2tou779o0SJ+8Ytf8Otf/5ozZ85gMpn67T1BGhooAEmrpbXDk+plpJz61tR4T2F0Oi0OTzDrq+kVReBwp8Z7CpM7uIVwuH3I/Xokdo1pbM853nN/3lfBxLkIIbj77ruprKyksrKSI0eO8LOf/YyBAweyd+9elixZwjPPPMN3v/vdqO53YQpAkqSLjGh3RvXc0R3dXXPnnXeyZs0ajEYjV155JZ9++imBfnpPkKYGymw00GR3Z3VxnMfrJyCLlIsULBZj1o+CaLa7MBhTP/k2d3DrDHnHMfcUpvhLA9EP6fpvrB+ip/hLAyNfS4CigNKP59OKFSt49dVXsdlCTQ9aWlo4ffo0zc3NCCG47bbb+PnPf86uXbsAyM/Px+Hofh++8sorAGzYsIEhQ4ZgtVpZunQpL730EhDy2EpLS6PuiH7h+1VVVTFhwgQefPBBVq5cyZ49e5D76T1Bgke+JxK9QU9zm4uSouwc5NbQ6sIS5zBGX9BqNDg8StaqK4UQ2J0+rElU7nWH2Wigqc1NUb4p5QeXVODzBwnIAmMC/u9as5Ypa6Z1q+LTms/3njUaiUBQ7vOemDFjBo888ggrVqxAURT0ej1//OMf0Wq1fPvb30aI0OH0P//zPwG46667uOeeezCbzWzbtu2iPFRBQQGLFi3C4XDwl7/8BYDHHnuMu+66i7KyMvLy8iLfj4ZZs2YhyzIzZ87k29/+Nh0dHaxevRq9Xs/w4cN55NGfx+UzqMpxG9HidHmYMqo46zZjUFY4esYe81DIRKEoAiXoZ+zwolQvJenYOzw0O3yYU5R/uhCvP0CRRZeVY+JP1beBVh9TWCnWcRuyR6b1zRa8J72Yxpoo/tLAi4xT5FpFYNRrUz6VesmSJTz77LOUl180zSIhCCHw+mW03fy/jxw5TOHQsZGvexq3kdZHXkOWelENLY64Smj7i0Yj4Q4oeH0BTCoIdSUTW7sHcxJr0HrDZNBja/cwcIAlqw5uQVnB7ZPJy0vsvtCatQxeVRLVtREvypDWj9mYkRVBvD56aZmDCmPQ62hp92ZVLkoIkTI5c09YzCbqs6zDttvjRxbqMwI6vQ5bmzvVy0gqTXYXRhUd2qAzFyVIeQukzZs3J817AvrUc6870tpAARiMBpqzqMN2a4cHvQpzPRqNhMevZFWH7Ua7K6Uqyu4wGvS0dGTPwU0IQYfLj15lhzY460VlC4oiiOfHLv0NlF5HS4cvazZjSxIakfYVq8VEXXN2KPqCsoI3xtk2yUSr12WNoq/N4UWjQuME6vGikkU8pOXnkvYGCkCv19HSnvkhDbfHj6LCkFIYjUbCExBZURfVZHelrDA3GsK5qGzA1uFRjUilKzQaiYCc+XtCCIEi+i8tP5eMMFBGgx5bR+ZX0as1pHQuFrMh43NRQgg63H7V5QEvRNJosWe4F+XzB1H7KKZwXVSmR3mCcvwjChlhoAA0GV6kKMsKXr96Q0phtBoNbl8wo+PuHU4fmjh3yk4EZpOB5gz3ohpVUg/YGz3lorRaLeXl5UybNo2ZM2fy1FNP9TpGvrq6mr/97W+JWGqfkWVBvBX1GWOgzEZDRoc0bG1u1amUusNkMtLYmrleVHOHR1Uy/54QaOhwZWZ0QVEELm8wqXVG0bYHupDQUMOurzebzVRWVnLgwAHWr1/Pu+++y89//vMe76c2AyXHo21EF2SMgQJAytzNaHf5VKlS6gqdVkOHO5iRnc79ARl/MH1CNRazgUZ7ZuZnW9rdSW0x9X8f+zkPP/xQxMgIIXj44Yf4v4/1bEzCaDQSwV7ikSUlJTz33HM8++yzCCGorq7m0ksvZfbs2cyePZutW7cCoXEXmzZtory8nKeffrrb65JFIsJ7kOaFuhdiNoU2Y4FVPYWT8cDh9iFJ6WGcwphMBprtLoYOyk/1UuJKk92ZNt5TGFkJ9W5Mt3X3RpvThylJRdJCCNra23n2d88A8MQTT/Lwww/x7O+e4YHv/yDSeqgnJCCoCHS9XDtu3DgURaGpqYmSkhLWr1+PyWTi2LFjrFq1ih07dvCrX/2KJ554gnfeeQcAt9vd5XXJICyO0CbAg8ooAwWZuRltbe60+//odVraXB6GDEx9Q9t4IYTA6QlitapT5t8dFrOR+hYX40ak12eoJzxeP3ISHVlJknjiiScBePZ3z0QM1QPf/wFPPPFk1J/x8Lyo3qIhYS8tEAjwwAMPUFlZiVar5ejRo11eH+11iSAYVBIWZs2sEB+hzdiQQWMH1F5v0xOZ1tGgw+lTbb1NT0iShDeYWfL/pjZP3Gc+9ca5RipMLMYJQvOi5F4sa1VVFVqtlpKSEp5++mmGDBnCnj172LFjx0XTcsNEe10iCCoiEeknIAMNlCRJeAJKxmzGljY3RhXXePSE0aCn1ZE5OcGmdreq6216wmI20JAh8n9FEbiTLI6Aszmnczk3JxU1Et1O3W1ubua+++7jgQceQJIk2tvbGTZsGBqNhhdffBG5s57qwnEX3V2XaGRZiVvfva7IOAMFnV5UhmzGdnf6iCO6QtJoaM+ASa+BoEw6n3m0Gg0uX2YIV+wOT9Lnb4WNUzjn5PUFeOD7P+DZ3z0Ts5HSXDAW3uPxRGTmK1as4KqrruKRRx4B4P777+eFF15gwYIFHD16NDKvqaysDJ1Ox8yZM3n66ae7vS7RJEocESbjclAQ2oxOjw9ZVtBq09cGuzw+BOlrnADMJiNNbW4G5KW3cKXJ7kq7POCFGI2ZIVxp7fAmTRwRRpIkCgcMOC/nFA73FQ4YEPNDWgiQFQWtRtOjtzNx4kT27t0b+fqXv/wlAHq9no8++ui8a7u6LpEkUhwRJiMNFGTGZmyyp584oisyQbji8ASwWtQxf6uvZIJwxecPkiqV/8/+7ZHz1HphI9WX32VYcq41pO8BOtHeE2RoiA/Cm9Gftu1F5DQWR1xIugtX2p1eJE1mbBVdmjeRbWxNrSd74X7s6/7MhCayiegccSGZseu6IZ07Ord0uDGotGt5rISFK+na/sjW7kmLdjrRYDToaUnTjitCCFy+INoMOSykcxNZWVFIRt/qzPhLd4Opcy5OOtLm9GFQ4dynvmI2GdOyiWxQVvCpvRtpjIg07bhid3jRZdCeSOcmssFg/IYS9kRGGygI9SJzuH2pXkZMhMZqZNafRqfV4PIE0y6kYbO70lZa3h0WszEt2x+1dHgwZUhUIYwk9d7+SG0kYqxGd2TWU7ALzCZ92m3G5jTsHBENBqOeZnt65aLaXOofq9EXgkpIcJAu+AJBgslsHZEkNFKo0DWdvKhkiCPCZI6/3A2SJOEPhkaRG9MgPKAoArdPJi8vAw2UXofd6aGk2JoW4o8OV+aIIy7E0hlyHTOsMNVLiYpmuwuzOfF5wNqmDrxxLHgz6bWMKCno8RpJgtq6eh5+6Eds374do9HImDFj+M1vfsOkSZNier9NmzZx3333odfrWbt2LQ8++CCvvfbaRdctW7aMJ554goqKipjuDyArIinhPcgCAwVgNZtosDkZnQabMdkdmpONRqelzeGlqED9km1bW/qM1YgVjUbC6ZEJygo6ldcKCiFweILkJaEHojcgYzLFr8bK6+091ycBt9zyZe761rd4+eWXAaisrKSxsTFmA/XSSy/x8MMPc9dddwF0aZz6g6IoCEFy4ntkQYgPQpvR5ZO7bS+iJuwZJo64kHSZ2xUWR6SDp9dXTCYjDS2O3i9MMW0OL9oMDLOG2bDhE/R6Pd/5zr2R75WXl7NkyRJ+/OMfM336dGbMmMErr7zSef0Gli1bxq233sqUKVO44447EELw/PPP8+qrr/LYY49xxx13UF1dzfTp04FQt4rbb7+dsrIyvvrVr+LxnN2D69atY+HChcyePZvbbrsNpzMkZhozZgyPPPIIs2fPZsaMGRw+fJhAUMHtdvGde77N7FnlzJk9izVvvAHA+vXrWHrpYubPm8uq278auU9/yAoDBZ2jOFQ+RM/j9ZMGNrTfyEg4PeoWrtjsrrTtgRgtOq0GRxoIV2wdnowTqpzLgQMHmD17NoELNv8bb7xBZWUle/bs4cMPP+THP/4x9fX1AOzevZvf/OY3HDx4kKqqKrZs2cI999zDjTfeyOOPP85LL7103r3+8Ic/YLFY2Lt3Lz/96U/ZuXMnADabjV/84hd8+OGH7Nq1i4qKCp566qnI6wYNGsSuXbv43ve+x+OPP44i4Jf//gsKBgxg1+5Kdu7azbLLL8dms/GrX/4H772/ji+2bWfOnDn89jdP9/t3k7lH9QvQ6bR0uDwMU0TSm0xGS5PdjSUJcfZUYzEZaGh1M2GEev+vbW5/2neOiAa9Xk9zm4shxXmpXkqX+ANyRoojukJ0Fu6Gn0+bN29m1apVaLVahgwZwmWXXcb27dspKChg3rx5lJaWAiFvq7q6miVLlnR7708//ZQf/OAHQKiPX1lZGQCff/45Bw8eZPHixQD4/X4WLlwYed2Xv/xlAObMmcPrr7+OJEl8/PHHvPjXswawqKiItWvf4dChQyy7bGnkPgsWLOj37yRrDBSAwaDH1u6ipEh9m1FRBB6/jNWauSfFMJIkEVCxcKXD5UWSsiO4YDTosDs8lBSpU7jSaHcmRRyRSqZOncqaN14PFe4GZYyG0J7oSdlnNJ79nWi1WoLB3hWZXf19hRBceeWVrF69usf30Wq1BAJBNBJdDmcUQnDFFSvOM1zxIDt2YScGvY5WhzpDS7Z2Fzp95oojLsTSKVxRI80ZLI7oirBwRW2EB0RmSueI7rj88uX4fD7+/KfnQ+2PhGD79u0UFRXxyiuvIMsyzc3NfPrpp8ybN69P77F06dJI2G///v2RxrILFixgy5YtHD9+HAhN5u1q2KGsnA0/rlixgj/84feRr+12O/PnL+Czz7b2ep9Yyey/fBdotFrsKmx/1ObwRU5O2YBahSuBoJzx4ogLMRsNNKtQuNLa4UGfZA/bpNfi9Xrj9s+k713cIUkSr/79dT768EOmTZ3M9GnTefTRR/na175GWVkZM2fOZPny5fz6179m6NChffp/fe9738PpdFJWVsavf/3riKEbPHgw//M//8OqVasoKytjwYIFHD58+KLXy7ISUe7987/8lDa7nVnlM6mYM5uNGzYwePBg/vv5P/GNO7/OnNmzuHTJYo4cOdKntZ6LlIgCsells8R7H2+J+33jhcfjZdLI4lQvI4LD7aOuxYPFnD2ndggp5fSSTGnJgFQvJUJNUzsBoVW99DreuD1+hg80k29RTzjt2JnWhI/VaGs4yeTJUxL6HrEiKwKTQauaQ5IQAq9fRhun3P2RI4cpHDo28rXPH2RSafEeRQmWX3htdu3CTgTq6kXWbHdjNmVPeC+MTqvB4VaPiixcb5Ntxgk6J+6qqOO82+NHTkY3UhWitvZHwaCSMmFZ9u1EQptRLe2PAkEZb5aFlM7FaDLQpBL5fypCSmpCVkKGQQ00tbmzLqIQRk3tj4QQBBWRrLrci8hKAwUgK5IqNmNjqxNzhoxy6At6nRa7y68KL6qlw4sxw5qRxoJa5nYFZQWPX07SoU1ShSG4EOmCsfCpQlYE8fwziBjbUGStgbKYDdSleDMqSkillI0hpXMJ1+KkEpfHh5Kyc6I6kCQJb1DB6wukdB2NrU5MSSrM1eoN2O2tqjNSGgmCcuq9qKAcv7EaQgjs9la0+uj/tlkbzwidUERKR5Hb2l3os/jEHsZo0NHa4U5pLU5jqxtLFknLu8NqNlHf4mTs8KKUvL8Qgg53gDxrcoqkrYUltLY10dxsA9RlpAQhQ5Uqmb0iBLIcTw9KQqs3YC0sifoVWWugIBTSqG1xMWFEah5MrQ5fVnQriAaD0UBzW2qKqH2BIN6AQr4xuz0oCMn/3QEFnz+YkrIHW1tyJ0lrtDryBw5P2vvFisvlYfKo4pQc3Kpq7egMhpTmx7M6tiRJEoFOLyrZtDu8aDSZ2wAzVgx6HS3t3pSENBpsTqyWxMqZ0wmL2USdLTVNZFsd3oxulhwrOr0OW1vyBV3hQ1uqxVtZbaAArJ1eVLJptLuyqltBNBiMBpqSnBcMygpuv6za/oypQKOR8AaSn4uyd3iQcoe28zAa9Ng6kn9wU8uhLesNVCgXRVK7a7c7vYgs6fUWCwa9jlanL6mKvoYWB6YsVlF2h9VioibJraia7Jk5Sbq/GAzJFREFgjIunzoObVE9JSVJKpQk6TVJkg5LknRIkqSFvb8qfbBajNQ1J28zNra6sqJreV8wGg00JKkuKigrONw5FWVXJPvg1u7wIuX+Dl1i0Oto6Ujewa3e5sSiko4i0X4ifgu8L4SYAswEDiVuSalBSBrak9Aws8PlRUi5MEZ36HVa2p1+AsH4jd3ujjqbA1PuoNAtFrMhaQe3Brsrq+sBe8NoNFBn60j4+/gDMk6fehr09roKSZIKgKXAnwCEEH4hRFuiF5ZsLGYjda2uhMd661tcWVshHy1mi5G6BIeXAkE5V4PWC5IkIWm0tCa4uXJrLvfUK3qdFocnmPCDW73NoaroTjS7cxzQDPxFkqTdkiQ9L0mS9cKLJEm6V5KkHZIk7bC32uK+0GRgMOhpbEncg7G1w4OkzW3E3tBqNLh9wYR2+qhTUScjfMUAACAASURBVBhDzZhMBhpbXQkLLwkhcrmnKDGbjdQ0Jc6L8voDuPyKarwniM5A6YDZwB+EELMAF/CTCy8SQjwnhKgQQlQUFQ+K8zKTg0Gvw56g8JIQgka7O6NHV8cTq8VETXNipM4erx+3isIYasdoMiYsvNTUmohi9QuNadfGVXHLOF6zYX+yFsfrNhRP6lsL9YRWo8EnQ4czMamImmYneSo7tEVTcFAD1Aghvuj8+jW6MFCZgtli5HRjB+NHxLeSvr7FmdQCxHRHkiQ0Oh1Ndmfci3fPNDlUIaFNF/Q6LR2uAF5fAJMxfp/hoKzQ6vCRlxe/YvXnnvsvHA4nDz30I0I93wRPPvkU+fl53HvvdyPXeXc7abjjKHLz2Um02sGnGfrSJEyz1DdxO0y4LCbfaoxrjVKbw4sipJTXPV1Ir0dIIUQDcEaSpMmd37oCOJjQVaUQrUaDLIhr3N3rC9Dm8ucKEGPEaNDT0u7DH4ifR9vS7gatembtpAt5FiOnGjvimqM93dCOOa4ndoHD4WT16tU8+eRThI3T6tWrcTichD0pxaNcZJwA5OYgDXcc7cKTis4ji/66/mEw6Kltjp9HqyiChlZ11mVG+8T8PvCSJEkGoAq4K3FLSj1mk5GGVjf5FgN6Xf9zRmeaOsjLndj7hMVi4lRDGxNK+9/uJRCUabJ74npizxYkSUKn11Pf4mT4oPx+36/N4SWgSFjiGmaVOj0nWL16NatXrwZg1apV53hU4Hq39SLjFEZuDuJ6t5X8W0Jpimg9smiviwcGvQ6H24vD5SPf2n8DX9PcgUGlqYeoPh1CiMrO/FKZEOJLQgh7oheWaqwWE9X1bf0+MTa2OEGry53Y+4hGI6HRhR6M/aW6vg1L7qDQZwx6HR3uAA5X/2qjgrJCXYszQWrWs0YqzLnGCSBY3fP6z/48Oo8s+uviR15njlbu50iOdqcXT0CJy0E8EeRiTt0QfjDWNHUwckjfRpI7XD5anb6kdWbOVEIPRi8Wh5fC/L4ZmAabA0mrU0V1fDpjtZg40+xkolHXp4eaEIKqWnsCDwqi00ic5cknnzrPSOnG9Ox1nP15dB5Z9NfFF7PFxMn6NsaPKOrTATgQlKm1OcnPsyRgdfEhJ2PqAYNehycgaLLHfnr3B2TONDtzxilOWC0m6lpcuPogPW/t8NDuCWb1MMJ4YrWYOFHb1qfTe01TB1q9PkEKyrOey6pVq9ixYzurVq06z7MBsF5XjHZw12dz7WAd1uuKz/lO7x5ZbNfFD61Gg0an41RDe8yvlWWFE7V21U9TyBmoXjCbDLQ6AzEZKX9A5nhtW04pFmfy88ycanTEZKQ6nF4a7B5VFR+mOxqNhMls5FiNPSYjVdPUjjcgEigWksjPzzvPc3nooR+xatUq8vPzCBsLjVnD0JcmXWSktIN1DH1pEhrzuY/Frj2yrgQR0V0XX/Q6HQEhcboxeiOlKIKT9W0YTSbVRxSkRHROmF42S7z38Za43zeVuD1+rEaJEYMLenSnPV4/Jxs6yLOac3mnBOFwehhWbKGooOfTX5PdSYvDnxOoJAhZUfB6fIwekt+jAkwIwZmmDnwymJLixV44VrzrMeOKR8H1bivBah+6MUas1xV3aZzCHtlDD/3ooq/PFUT0fl3i8AeCCDnIuOFFPRodf0Cmqq4No9GATiV5J58/yKTS4j2KEiy/8Ge5HFSUWMwG/MEgR063MnyQlQLr+Q89WVaotTlweYM545Rg8vPMNLZ7aXV4KS3Jx3jBidzj9VPX4kIRUs44JRCtRoPFYqK60ckAq56SIutFraPanV7qbC4MRj2mpA1AvDj81hUasyai1uvuPl15ZMB5Hln01yUOg15HUKPhyOkWBg0wM6jQct4zSFEEzXZXaEiq1ZQ2z6ecBxUjQgi8Pj+KomDQadFIEAgqBBWBSUWnkmxAUQRujxetRsKg06AICMoyipCwmONbyJijZwJBGa/Xj0EnRfJL3oCMVquNW32N4pZxvWsneKo7jydRROeRxf+6vuHzBwgGguh1GrQaCVkR+AMKBqNelbWYqvGgfP4gx2vacPkCKLLCqKEDGDbQmlYPEkmSLuq6rE3D3Hubw8uZJgftTh8D8owMKbZSUqReNU9XaDTSeSIULZBufwohBHU2J/UtLoKyQp5Zz8TSopSMW+8Pep0W/QX1ZXlxVJEno/ODPyBTZ3NSZ3Oi02kYWGBmZEk+Bv2Fh87unle9e27JqJcyGvTnCYK0gCFNU7BJ2QWHT7Xwxsaj7D3ehD94flK1MM/IirljuGHxBPIt6iwWyxSCssKWfbW8+9kJjp25uJRtQmkRy2eP4oqKMeh1Of1MInF7A7y1+TgbK8/QeMEUYZ1WYtrYwdy6bDLTxqVnX8t40lvnh1E7y/vlSdU0dbD2syo27j6N139+1xKrSc+SslKuWziOkUMK+vweIc7WSwEX5ari7UllAgkN8bU5vDz/zl627quN/Gzs8AEMLDCjCMHxGjsdrpAiy2zU8Y1rpnPVvDFp5VGlC9X17fz27zs41RBqkWIyaBk1pIDiAjMdLh8n69vx+EIPgJEl+Xzv5llMGT0wlUvOWD7ZdYr/fe8A7Z0Fr/kWA+NHFGLQa7G1eaiubyPcPLx8YgkP3DKH4oLszaU5XrfRdF9Vtz8v+eO4XnJJXRMIyrz68WHWbDwa+X0PG2hlxOB8FCFobHFR2zn2RauRuPmySdy6bHIXHlUsnBVUhEmWkEKt9BTiS5iBevbFtfznXz/H1u7BoNNw45KJXLNgLMXnKK+EEBw+3crfPz5M5bEmAC4tK+W+m2dhNqZXiEPNfPDFSf70zh6CsmBIsZUvXzaRpTNHnhdG8gVkvjhQxysfHaK+xYUkwV3XzeD6xRNSuPLMIhBU+NM7e1i3rRqAyaOK+dqVU5k6dhDac5RXTo+fdz+r4q3Nx3F7AxTmGfnR7XOZPm5wilYeO9Hni3rPx9ifrKX1V7V0R/FPRlD00IiY1mdr9/DL//2Mk/XtSBKsqBjDykXjGXWBl3SqoZ21W0/w4Y5TAIwbXshPv7mQoj4WjIcQVFTMjXy1Y8d2stU4ARw93cKVFWOTZ6DGT54uhq74V/wBmcmjivnR7XMZXNhzfuPTyjP88c3deP0yl4weyL9+a1HOSPUTIQSvbzzK39aFevtePX8s37hmeo+/V19A5tWPDrHm02MA3LhkAt+4Zrrq6yXUjs8f5D/+93P2VTWj12m496Zyls8e1WO0wO7w8vTL29l/0oZOK/Hjr81n7iXDkrjqvtF1vkh3Ub4o2nxMvD2o+hYnj/5pC81tboYWW/n+bXO4pJdowaFqG8+8tovGVhdDiiz87K5FfexJmPOgzmXrvlqefHkbO/77m10aqIQkGhrtbvwBmctnj+Kxe5b0apwAlpaP5Nf3L2PgADOHTrXw7y9sjYSccvSNVz46zN/WHUSS4Hs3l/Pdm8p7NfpGvZY7r5nOD26bg1Yj8dbm4/xtfcY2r08KgaDC43/bxr6qZoryTfzi3qVcMWd0r6HsonwTj9y9mOsWjiMoCx7/2zZ2HmlI0qr7RvSdwqPvXxdb54eeaWh18dPnPqW5zc3EkUX85/3LejVOAJeMGcQv77uM8SMKabS7+bfnN2Nrj3XiQXSdLrKFHYcbePqV7fTkIyXEQAkBV1SM5oFbZsfUr6u0pIDH7llCcYGJg9Ut/ObV7Qmb5JnpfLLrNK9+fBiNBP/0lblcOXdsTK9fNmsU/3znArQaiTc2HuW9z7s/weboHiEEv3ttJ7uONlJgMfDzby9mYmn0s8a0Wg3fvr6MlYvGE5QVHn/pC07UqrdXczSdwkOc7fKwevVqKirmdlvYGlvnhx7W5vHzHy98RpvDx/Rxg3j07iUxCbMK84w8ds+lXDJ6IK0dXv79ha24vIGoXx9tp4ts4PCpFh7/2xfIiuD6ReO7vS4hIb6SkZPFtp27zourx0KdzcH/9/uNuLwBbr/iEr5yxZQ4rzCzOVRt45E/bSYoC75zw0yuXTiuz/f6eOcpnn19FxoJfnbXYmZOKInjSjOff2w6xgvv7cds1PHYPZcyfkRhn+4jhOD3b+zmo52nGFRo5vH7L2dAnvq0w7Hni6LPx/Te+aF7ZFnhFy98xp7jTYwsyec/7rsMq6lvRQkOt59/+eNGam1OZk8awr98Y2GMIfDE1kGpHbvDy8PPfoLd4eWqeWP41rXTmTxyYPJCfIOLzH02TgDDB+XzT7fPRZLg5Y8OqT6soSYcbj9PvrydoCy4buG4fhkngOVzRnPr5ZNRBPz27ztoc/Zv1EI2ceCkjRc/OADAg7fN6bNxglD93b03zWTiyCJsbR6eenk7sgqjC9F3CodY+9eFOz8UPTSC/FsGxSQtf33DUfYcb2KA1chPv7mwz8YJQqrLf/3WIvItBnYdbeStLcdjvEN0nS4yEVlWeOrl7dgdXqaOGch3bpjZY6g7IQZKisMvfPakIXztyqkA/L/Xd+Fw5x6MvSGE4A9rdtPa4WXyqGLuum5GXO771SsuYdrYQbQ5fPzutZ25sGsUOD1+nn4lFKK+eelE5k0d3u976nVa/s/X5lOYZ2RfVTNrt8b6YEw80eeLkpePOXK6hVc/OYwkwT99tYKSImu/7zmk2MoDt8wG4KUPDnCsJjFhV8Ut43jNhv3JWhyv27qY9ptevL7hKAdO2ijKN/HQqnlotT2bIFVXY968dBJTxwykzenjuX/sSfVyVM8nu07z+YE6zEYdD36lotc/frRoNRIPfqWCPLOe3UcbWb+9Oi73zWT+snZf5KAQPmjFg4EDzNz/5VkAvLTuIDVNjrjdOx5Eny9KTj7G4wvym1d2oCiCm5ZMpCyOIeq5lwxj5cLxyIrgmVd3EAjKvb8oBry7nZyu2EPT96po/VUtTfdVcXpOJd7d/R/emQpO1rfz908OA/DDr1REJdVXtYHSaCQeuHUOJoOWLftqzyv4zXE+bU4ff1m7D4B7bpjJ0OL+nxLPZdAAM/d9KfRgfPH9/bR2xKpgyh52Hmngk12nMeg0PHDL7LgdFMJUTBnG5bNHEQgq/O61naoL9Zlm5TFqZzklfxxH8U9GUPLHcYzaWX5RS6J77/1ul4P/4jki/eWPDtFodzN2+ABWxfGgEObOa6YxYnAetTYnr284Grf7Rq+GTA+CssKznZ/VaxeMY8b46Gr6VG2gAIYWW7nzmukA/Hnt3pz0vBteeHcfLm+A8oklLJs1MiHvsXD6cCqmDMXtC/Knd/Ym5D3SHa8/yB/frATg9iunMmJwX2pleufu68soLjBxrMbORzuqE/Ie/SH6fFHi8jFVdW2s3XoCjQT33zw7Ie27DHpt5OD2xsYj1DR1xOW+0ash04O3txznZH07JUUWvn71tKhfp3oDBXDVvLGMH1FIa4eX1zccSfVyVMfe401srDyDQafh3ht7Tjr2B0mS+M6NMzEZtHy2v45dRxsT8j7pzBsbj9LS7mHc8EJuSGAXDqtJz90rywD46wcHcjnaC5AVwR/frERRBNcuHN8vgUpvTBs7iBUVownKgv/6xx7ioYwOVvf89+zt52qitcPD3z8OPbejqcU8l7QwUFpN6MEI8NbmY9Q2qyvunkpkWYl4M7dePoWhA+PT2bk7Bhda+MoVlwAhr60vY78zlYZWF//YFOrA8e0byvqlZI2GhdOHM33cIJyeAH9bfyih7xUmXZL2G3ef5niNneICE1+78pKEv9+d10wnz6znwEkb2w7V9/t+sakh1c2LHxzA6w8y75JhzJo0JKbXpoWBApg0spgr5oROKS++fyDVy1ENH+86xZkmByVFFm66NDl981YuHMeQYitnmhyRHmU5QgY7EFS4rHxkVN0J+oskSdxzw0w0Gon1205yujE+4aXuSJekvdcfjHQ/+frV0zAbEz+EJd9i4KudB7f/fW8/gWD/DHc8u2ekkiOnW9i4+wx6nYZvrYxdVZw2Bgrga1dNxajXsu1QPYdPtaR6OSnH4wuwuvPk/PWrp8XUtaM/6HVavnFNKI68+sODMVbTZyaHT7XwxcH6zlZR0cfY+8uoIQVcOXcMiiDSczERpFPS/q3Nx2nt8DJ+RCFLZyYmH9sVV88fy/BBedS3uPjgi/51XolX94xUIoTgf98LORM3LpnQJ+GW+v+X51CUb4rE9V98/0BcYr3pzD82HafN6WPiyCIWz4itm3N/WTBtOJeMHkiHy8/bm9VXj5NMhBD8tbMg94YlE87r2J8MvrJ8SsIPbumStG9zeHnz05Ca7lvXzkhqk2OdVsM3rw0Jul775AgeX/8ObtGqIdXKrqONHDrVQr7FwJeWTurTPdLKQAHctHQi+RYDh061ZHWHCYfbx9udFezfvGZ60mdoSZLEHVeFZLvvbDmOw+1P6vurid1HGzlY3UKeWc9Nl05M+vufe3D76weJObilS9J+zadH8fplKqYMTcmwx4opQ5k8qpgOt5+1n/W/f2V/umekEkU5e2i7ZdmkPnfuSI//7TlYTXpuWRayxq98dDhrvah/bDqOxxekfGIJU8emZurq1LGDmDmhBLcvGBEHZBtCCF7qzHd8ednkfrXQ6Q83LZ1InlnPweoW9p1ojvn1vYkf0iFp39rh4YMvTgKwakXihRFdIUlS5L3f2nQsa8PfW/fXcqqhg0EDzFwzv+/t1tLOQAFcPW8shXlGTtS2sfNI9kmd25w+3v3sBAC3p2gjhlnVqZB697MTtGdhn75dRxs5WddOYb6Raxf0r+9hf7Ca9NzY6b29+vHhmF4bjfghHZL2r284ij+osGDacMYOT5ysvDdmjB/MtLEhdWU2hr8VRUTKgW69vH8TiNPSQBkNukgo5e8fZ58X9damY3j9MnMmD2HSyNQ+GCaNLGbO5CF4/TJrO41mtiCE4LVPQhvxxiUTMfZrFHj/uW7BuIgXdaDKFtVrohU/qD1p39LuYf32aiSJiJouVZzrRa3deqLfuah0Y+eRBk41dFBcYOLy2aP6da+0NFAQUswUWA0cq7Gzu3NcfDbgcPt5v1MhlOqNGObLyyYD8P7nVVnV6ePgyRaOnG4lz6zn6nmxzdtKBBaTnus7c1GvfBxdXVQs4gc1J+3f2nyMoKywcNoIRg8t6P0FCWbq2EFMGV2MyxvIqt6VQghe6/Sebrp0Yr+VxWlroEwGHTcuCXlRYdVONvDuZyfw+mXKJ5YwIYbBd4nkktEDmTK6GKcnwIdZtBlf3xjaiCsXjY+pOj6RrFw4DotJz/4qG8fO9K6si1X8oMakfYfLx7pt1QCR/LQauLlTufb2lhP9rotKF0KfOzsFFgNXzh3T7/ul/tPVD66ePxazUcf+Kpuqp4zGC48vwNqtoTDaLZ1ei1oIb8a3thzPis14vMZO5bEmTAYt1y3sfiJosrGaDVw1bwwA/4gi/5EO4ofeWLv1BL6AzOzJQ1Kae7qQOZOHMrIkn5Z2D5v3nkn1cpJCOOR9/eIJmAz9P7SltYGymvQRK/3WpsxPRq7bVo3TE2DyqGKmjkl8p4JYyLbN+MbGkNd+9fyxMY0NTwYrF45Hq5H4fH8tDbWOHtV56SB+6AmPL8C7nXJutR3aNBqJLy0NR3mOZfwctSOnW9lX1YzZqOPaBfEJeae1gQK4flFoM27ZX0uT3Z3q5SQMWVbO8Z4mJb3uqTc0GikiXMn0zXimsYPPD9Sh12m4YXHy6556Y+AAM5fOLGV4kx770kM9qvPULn7ojY93nsblDTBldHFS2kvFypKykQwcYOZMkyPj6zbDyr1rF4zDao7PoU3dn74oGFRoYXFZKYoiVDlhNF58cbAeW7uH4YPymD1paKqX0yWXzjy7GXcdzdzNuKYz57l8zmiKC3ofupYKbqgYz90fDMRwQXu+rloTqVn80BOyIiKHthsT2Dm+P4QOMaEQ8JufZm6t4KmGdnYcbsCg00SEOvEg7Q0UhPo8AazffgqXJzM7GoS7RqxcND6p7Vti4dzNuGZjZm7G1g4Pm/bUhMI3KegaES2Ddsnke7pWUHXVmkiN4ofe2HmkgYZWFyVFFuZOHZ7q5XTLlXPHYDXpOXSqJWN7iIafT1dUjKEwL355S/V/CqNg3PBCysYPxusPsi4DVWRHz7Ry5HQrVpOeZbP6V1eQaM7djEdOZ95mfP/zk8iKYMHU4QyJ89TieJIurYn6wzvhQ1tnzk2tmI16runMyWSiF9Xm9PFpZQ2SBNcvjq9gKCMMFBCpol+7NfMknWu3hMIYV84boxo5c3eYjXqunh/ajG9vzqzCXV9AZt22UCudlXHeiPEmE9R5PXGyvp39VTZMBh3LK0anejm9snLheHRaDdsP11Pfoq7xJP1l3baTBGWFOZOHMizO8+gyxkDNmljCqCEFtHZ4M0pFZmv3sHV/LRqNlNJWOrFw7YJxIRXZgcwSrmzac4YOt5/xIwqZMkrd6rZ0V+f1Rth7umLO6JT1P4yFwnwTl84sRQh4d2v/m8iqhUBQiTQOuH5R/A9tGWOgJEnihs5c1DtbTmRM+6P3P68KhZSmDWdwoSXVy4mKgQPMLJoxAkWE1p8JCHE2IX/9ovGqU1FeSFidp0lTdV5PtDm8bNoTCimtXJQehzYgIh74aOepjGkiu3VfDW0OH6OGFDBj/OC43z99P6VdcGlZKQVWAyfr2zlYnf75D58/GAkp3aDykNKFhDfjuu3VGdH+aH+VjVMNHRTmG1k0ozTVy4kK06w8Ru8sp/oHZt6f08HWr8lpoc7rjQ86Q0pzpwxjaJxDSolk7LABTB83CK8/yEc7qlO9nH4jhOCd8KFtcWIObRlloAx6baS1ezgEkM5s2H0GpyfAxNKilDeFjZWJpUVMGV2M2xtgw67TqV5Ov3mns4Thmvnj0OvSZ9tozBrm/mgSm+a5WGNtoMHlSvWS+kUgKPP+56FDW7wT8skgPLdr7dYqZDm9c+WHT7dyoraNfIuBSxM0uTh9dlqUXD1/LDqtxPZD9TS2pu9mVBQReSjesHiC6kNKXXH9os6Q69bjaV24W9/iZMfhBvQ6DVepoClsrBRYjSwtDz1A1qZ5/mPTnhraXT7GDBvAtBTNQesPcyYPZWixleY2N9sO1ad6Of0i7ARcPW9swjr5Z5yBKso3hQp3BbybxvmPPcebqG12UlxgYsF09dZ49MT8qcMYXGihvsWV1oW7726tQgi4dGZpXGs8+s6Fxr5347+y87Dwya70rRU8N6R0Q4JCSolGo5FY2SkmeDuNozxNdjdfHKhDq5EiEvpEkHEGCs6qST7acSpt8x/hjXjdwnHotOn5Z9JqNVy3MBRyTVfJudsb4ONdp4CzD/lU8txz/8WTTz7FWaMkePLJp3juuf/q8XWjhxZ01grKfLjjVMLXmQgOnLRRXd/OAKuRJWXpkQfsiuVzRmMx6Tl8qpVjNenZ5Pr9z6tQBCyaMYLiAnPC3ifqJ58kSVpJknZLkvROwlYTJ8aPSO/8R01TB7uPNmLQa+PSsj6VrKgYjcmgZV9VM9X17aleTsx8tDN0yJk+dhBjhw1I8WoEDoeT1atXR4zUk08+xerVq3E4nPTmSYVzNu9+lp75j3c66wGvWTC233OGUonZqGNFZ+1WOubKvf5gZMZVIqTl5xLL0fxBILopaCognfMfYe9p2ayR5FvUEFLqO1azgeVzQpsxLNNOF2RFRDplqyMhL/HQQz9i1apVrF69moqKuaxevZpVq1bx0EM/AnoOec2eNJRhA0P5j+1plv9oaHGy/XA9Oq1GFcMh+8t1C8ejkWDrvlpa2j2pXk5MbNgVatA7eVQxExMs3orKQEmSVAqsBJ5P6GriyPypwxhUaKa+xcXuY42pXk7UONw+NuwOFRon+nSSLFYuGo8kwad7ztDmTJ8WOzsPh4Q2Q4oszJkyLNXL6UTqNEZnicY4QSj/EZ5d9U6aHRbWduYBl5aXUpivzga9sVBSZGH+tOHIiogUuqYDyjkNelcm4fkUrQf1G+D/AN3GBSRJuleSpB2SJO2wt9risrj+oNVquG5BWHKePptx/fZq/AGZWZOGUFqS+tHV8WDYwDwqpgwlEFRY98XJVC8naiJ5wEVq6vUmOsN7Zzk/J9Uzy+eMwmLUcbC6haq6tgSsL/64vAE+2qmePGC8CEvOP/jiJD5/euTKK483UWtzMnCAmQXTEi/e6tVASZJ0PdAkhNjZ03VCiOeEEBVCiIqiYnXIP1fMHYNRr2XP8SZON3b0/oIUE5SVsyGlDPGewoRDru9/UUUgKKd4Nb1T3dnrzWzUccUctfR6O5tzWrVqFTt2bI+E+6I1Umajnisq0ivk+vGOU3j9QaaPU0MeMH5MHlXMhNIinJ4AGyvToz1bOGd27YLkiLeieYfFwI2SJFUDLwPLJUn6a0JXFSfyzAaWzQ51/06Hzfj5/jpaO7yUDs6nfGJJqpcTV6aPG8TooQW0OX1s3luT6uX0Svjzsnx2SHGlDiTy8/POyzmFc1L5+XlEE+YDuHZhKOS6aU8NbQ5vQlfcX2RFsPazcLeCzPGeINSeLXwQTYf2bDVNHVQea0qqeKtXAyWE+GchRKkQYgxwO/CxEOLrCV9ZnFjZGXPfWHkGh1u9+Q8hxHkzn9KxxqMnJEmKhDTUvhnbnT4+3XMGSYLrVNbr7d57v3tBzilkpO6997tR32NosZW5lwwjKCt8sE3dIdftB+tosrsZWmylYrI6B3X2h5BM20RNs4PKY02pXk6PhIu8Q+Kt+EzM7Y30LLCJgdKSfGZNGoI/IEekkWrk6JlQTUSeWc+yWYlpG5JqlpSVMsBq5GR9OwdOpj5P2R3rtp0kEEzM+ID4cOHhJfbDTPjk/v7nJ1Udcn3nnIS8Wgd19gedVhOZUqDmwl2H28+G3aGSnfChPxnEZKCEEBuEENcnajGJIqw2ee/zUJNJNfJ2p5DjqnljMRrUPfOprxj02kjVuVqFK4GgzHsJHB/QE4pbxvGaDfuT2j/7NgAAIABJREFUtThet503lj3eTBs7iDHDBtDuUm/I9UStnYPVLViMOpbPUfegzv5w1bwxGPRaKo81cUalufL120/iC8jMnFDCyCHJE29lvAcFUD6hhBGD82hp9/D5gbpUL+cimtvcfB5pG6KukFK8uXreWFUPbvt0T2h8wJhhAxIyPqA7vLudnK7YQ9P3qmj9VS1N91Vxek4l3t2J+R1J0tmWO+9sVWfINew9XTF3DGajWvKA8SffYoxETdQo/w8E5Uh478Ylyc0DZoWB0mikiFuqRrHEe59VoSiCRdNHMGhA4tqGqIHCfBNLy9U5uE1RBG9tCo3kvmlJ8hr0Kh6FhjuOIjefLzWWm4M03HE0YZ5UZDxNnfrG07R2eNiytwaNBCsXZvahDc566xt3n1ZdrnzTnhrsDi+jhhQkXbyVFQYKYNnsUVhNeo6cbuXYmdZULyeCy+OPJKqvT/LpJFWEa1nUNrht97FGzjQ5KC4INRxOFq53Wy8yTmHk5iCudxPzeTXotZGuDGo7uL295ThBWbBg2ghKiqypXk7CKS0pCOXKgwofbKtO9XIiCCH4R/jQdmnypypkjYEyGXQRaaSa3OgPtp0M9XobN4iJpUWpXk5SUOvgtvBGvH7xhKQ26A1W93xi7u3n/eHq+ePQaSW2Hayjya6O8TQuj591nQ/pLy2dmNrFJJGzwpUqAkF15Mp3H2uKHNqWlCVfvJU1Bgrg2oXj0Ggk1fS/8gfkiFjg5qWTUrya5KK2wW0nau2RwtxkN+jVjem532JvP+8PxQUmFs/oHE/zmTpCruFD24xxg5mQJYc2gPKJJZQOzqe1w8tn+2tTvRyASMh75aLxKRnUmVUGanChhflThyErgg9U0HJnw+7TtDl9jB02IOMKc3sjJOFWz+C2tzaFJL5XzRuDNcmFudbritEO7lq5qR2sw3pdYhtyhhvhfqiC8TTnHdouyx7vCToLdxefnRWVauFKVV0be080YzLouCpFUxWyykDB2Wr0ddtCsslUIStnY7s3L52UcYW5vXHu4LZUS86b7G627K9Fe46YJp70Jh/XmDUMfWnSRUZKO1jH0JcmoTEndpuqaTxN5NA2fAAzJ2TXoQ3gslmjyLcYOFHbxuHTqc2Vv7U5dGi7cu5orObkFOZeSNYZqCmjihk/opAOt59PK1O3Gb84UEd9S6hT9sI0nZjbXy7vbCN06FQLx1M4uC08kmVJWSmDCi1xvXe08nHTrDxG7Syn5I/jKP7JCEr+OI5RO8sxzUpOofC542nkFI2nOe/Qdmn2HdoAjHotV80bA8Dbm1NXuGtrc7N5b03nQTJ14q2sM1CSJEW0/G9sPJaS/IcQgjWfHgXgxksnok3Tibn9JZTv6RzcliLhSrvTx/rOhHy8azxilY9rzBrybxlE0UMjyL9lUMI9p3OZP3UYJUUW6ltcfJ6i/Efu0Bbi2gXj0GpSK1xZ8+kxFEWwePoISorie2iLhax8Mi6aPoJhA600trpSUkW/v8rGido2Cqxnh/llK9cuCA1u27K3BlsKhCtvbzmOLyAzZ/IQxg4vjOu9UyUf7wtarSYi1Hltw5GkD/kUQvBmp/d045LsPbQBFBeYWVwWEq6kQv7f2uHhw0517ZeXTU76+59LVn4KtFpN5Bef7M0ohODvHx8GQj2tjPr0HV0dD0qKLCycPgJZEazZeDSp7+1w+yLKta8snxL3+6dSPt4Xls8ZRXGBiVMNHWw/nFzhyu5jTRyvsVNgMWR0W6NouaFTLLFuW3XSh3y+uekYgaDCgmnDGT00tTPpstJAAVxWPpJBhWZqm51JlXTuO9HM/pM28sx6rsuCCvlouG35FCQpNKzR1uZO2vu+vfkEXn+QWZOGJGR0dSrl431Br9NGvKi/f3wkaSoyIQSr1x8E4EuXTcrYXpSxMH5EERVThuILyLz5afIObm0Ob2So6G2Xp9Z7giw2UDqthlsuC/0BVn94KCm5KCEEf+vciDddOjFlyhi1MWpIAYtnlBKUFV7fkJzN2ObwRvJeX1memI2Yavl4X1hRMZrCfCNVdW18kaS+ldsO1XOito3CfCPXzh+blPdMB756xSVAqHC3tSM5c7v+/skR/EGFeZcMi3vIuy9krYECuKJiNEOLrdTZnHycBHntziONHD1jp8Bq4LoktqxPB76yfDKSBB/trKaxNfGJ4b9/cgSvP0jFlKFMHjUwIe+Ravl4XzAadNx2eSjc+dL6gwk/uCmK4OUPDwFwy2WTc97TOYwfUci8qcPwBxXe2Hgk4e/X0OJk/faTSBKsunJqwt8vGtS3Q5KITqth1ZWhU8qrHx9OaF2ULCu8+P5+AL582STMxtxGPJfSkgKWlo8kKAv++sGBhL5XfYuTddtOopHgjqumJfS9Ui0f7wsrKsYwpNhKbbMzMgMoUXyy+zSnGjoYNMAckVfnOMvtV1yCJIXqNutsie3+v3r9IYKyYNmsUSnPPYXJagMFsHhGKWOGDaCl3cParYmrO1i/vZozTQ6GFFsjA8pynM/XrpyKQadhy75ajiSwSPGlDw4iK4Jls/u3EaOd35RK+Xhf0Os0rFoROri9/NFhvP7EdJfw+AK8tC50GLnj6mnoddktGOqKMcMGcPnsUQRlETngJoLjNXY27a1Br9Nwe+ffXg2oe6ckAY1G4hvXhE7Rr31yJCFSZ5fHz+rOMMY3r8ltxO4YXGjhhs5apP95d19CkvR7jzexdX8tBr2W26/o+0ZM9vymZLOkrJRxwwtpaffw+obEhJfe2HiUNoePiSOLuDSJ3ePTja9dORWjXssXB+sTMolaUQT//dYeIKQsHhznYvX+kPUGCqB84hDmTx2G1y/zv+/F/5Sy+sNDONx+po0dxPxp2VuAGA1fvmwSA6xGjpxujXt4KRBU+O+3Qxvx1mWT+9w1IlXzm5KJRiPxnRvLAPjHpuNxDy/V2RyRVjp3ryzLyHHu8aK4wBxRVz7/9p64TwX/cEc1x2rsFBeYuC1BgqG+kjNQndy1sgyDTsPmvTXsO9Ect/seOtXCe59XodFI3H19WVa2b4kFs1HPN6+bDsBf1u6Law3I21uOUdvsZPigPG66tKeuERd6bud/nU4FuP1h8qiBneElheff3hM3j1ZRBL9/YzeBoMKyWSOZPEp9asb/v70zj5Lrqu/89/feq/XV3rX0rsWSWGLJMpFtEQdnsgDGYIzJZGm2QBJMhuEcGHwmQxjyR85hDiczMWFmwgzWsAwEI8JgCJvZYQZMbGRJ3rCFbSFrs9aWWuqqevt7d/6oLqnU6qWqq169+6ru5xwddXVVv76vq+797b8fb9zxik2oFFQcOTV/qR1UL7hYMy/FfN9x21buJhcLAbVAOZ/E7y8U7/73+/f1ZJCeabv4+P37wRjwxlu2YMNYtutrDgO/tX0K2zeXUdNtfOabT/TkmkdOXcQ//bBRIP3nt1+3rJt11657cc89H8VlocRwzz0fxa5d9156TdgKcLvhrbdeCzUewWPPncEP9h7pyTW/t+d5PH34HLJqDO947daeXHPQiUUV/MUbtgNoJHS9cLba9TUZY/if//woarqNbZtK+I2tE11fs9cIAdXCnb+1BddM5DB7Qcene3Aw3ve9p3BitobJUpo705lniAjvumM7YhEZP33iOB58vLt2VJbt4mNf2gvb8fDKG9avMNqEoVqtYffu3ZeE1D33fBS7d+9GtVpDU2iFrQC3G3KpGN75+usAAJ/51hM4da47V9+J2So+952Gxv7O11+HdHJw/lZ+c92mMn77ZdOwHQ//7cv7uh5q+MN9R7Dn6ZNIxhS8+87rufTuCAHVgiJLeO8f7EBUkfDj/Ufxk8eOrflaP3viOL75s19Blgjv+dcvE4kRHVIpqHj7bQ3t+n98dT+On5lf87U+951f4MipeYyNqKto7IS7734/ZmZmsHv3buzYcQN2796NmZkZ3H33+wE0NnAYC3C74ZbtU/jNbZMwLBd//6W9sNZYjmFYDv728z+HYTm4eesElxo777z9tq0oZhN47tgcPvvtJ9d8neNn5i8p4e98/XUo59VeLbGnCAG1iMlyGn+ycDB+/Cv78czRcx1f48ipeXz8K/sBAO947VZs8aGNzjDwqhvX4xULB+N/+cKeNbldv/3QITzw0CHIEuF9f3QD4qsWgtKCMLpMq3ACwlmA2y133XHdpYOx4bbuLB7VjDsdO1PFRCmFd7/xep9WOtikk1H8+zfdCEUmPPDQIfy/NSjRF6oGPvzZh2BYLl6xbRK3bO//KPd2Gbyd1ANuvWkDXn3jBtiOh4/848M4Mdu+v/eFs1X8zWcehGG5uGX7lKh56gIiwl/ceT0mS2kcO1PFh//3v0A32xdSe54+gU99s5G19+43Xo/NbY0PZwvuvctcGZNqEMYC3G5IJaL4q7e9HPGogp8+cRz3fe/ptoUUY4005gefOI54VMF/ePNN3AXjw8TmqQLecVsjw/IfvrwPe55uvyWVbjr4yD8+jDNzGjZN5vHuN/Lp2msiBNQSEBH+7PZt2L65jPm6hQ9+4id49tjqmVlHTs3jrz/5U1yomrh2YxH/5g3buX7zw0AipuBDb385irkEnjl6Hv/psw9hvr56EsL3HzmM//yFPfAY8Ee/+2L89svaGWtyOeY0MzODvXsfueTuW0pIha0At1s2jGVx98wNkKhRw7Tr64+v2grJcT3s+trj+O6e5xFRJPzlm2/CZJmPLgVh5tadG3DHKzbB9Rj+bveethpen7uo40O7foLnjs+hnE/ig2/dyX1rKfKjGPLabdezb//oZz2/br/RTQd/t3sPHn32NKIRGW9+1Uvxmp0boSyaVeN5DN9++BA+951fwHY8XLuxiP/4tpdz/+aHiVPnavjQ//opzs8bKGTieO8f7MDWa0pXva6qmfjC9w/guwsdme+8ZTPe8upfa1tR2LXrXlSrtRa3XkNopdMp3HXXu3p4R+HlX558Af/1/zSSTrZtKuGdt1+HiVL6qtedmK3hY1/ai4PH5xBRJHzgLTtx/ZZKACseTBhj+MwDT+KbP2s0Pb71pg34k9dce9W5wxjDngMn8clvPIFzF3WMjaj40Nt/A2MjfFj7puVgy2Thcc9zti9+TgioVXBcD/d+7TH8cCHFdryYws1bJ7BlugDH9XD01Dx+tP/opQanv/vr6/Dnt28TwskHzl7Q8Pf/9Ah+eaRhzb5ouoBbtk+hlEvCsl0cOHwOP370KDTDhiwR7rpjO155w/o1/CaG1pjT1Y8FB46cw0c+9xBqeuNv/ZvbJrFtUwm5VBwXagZ+/tRJ7H3mFDyPoZhL4N/94Q68ZH0x6GUPHIwxfONnB/H57z4Fx2VIJSL4Vy+bxounR5CMKzh8ah57nj5xac+8eF0BH3jLTmRUfrInhYDqEsYY9j1zCp/51pM4eW7pTtvFbAJ/+rpt2Ck6RfiKuzCS4+sPPgfNXLpYdvvmMt5267VYL+rOfOVC1cDuHxzAD/YexlLHiCwRbtk+hT997VYxWsZnDp24gE/882M4eHxuyefTySj+8HdejFfftOEqD1DQCAHVI2zHw6PPncYvDp3F4ZMXkYgpyKXiuOnXxnHdpjJk0a6lbxiWg58+fgwHDp/DhZoJIsKLpgrYtqmEF6/zZ3yGYGleOFvF/mdO46nDszAsB5lk7FKT03w6HvTyhoqDx+fwk8ePYfaCjppmYXRExUvWF3HjS0a5VRKEgBIIBAIBl6wkoPiy9QQCgUAgWEAIKIFAIBBwSSCpZpbtwLIdMK9RQ0GShFg0ItoBBYBuWnAcD80otyRLiMcikKXB0108zUX9gTk4R0wo62NQbytwU7vkeh5My4breGhmDSoRGfFoRNTS9RnH9WAY1uVCZAKiEQWxqCgu7jd9FVCaboKYh3w6jmxRRTTSEEim7eDCvIG5mg5FfBB8hzGGmmYiphAqmQTUZBSKLMHzGCzbwZkLGmo1E/F4FMqAKA3Go7WrZjjJpaMYvW9LoN0fHMeFYVpQ4womCkkk41FIEsHzGKq6ifMXdRi2BzUZF4LKZ0zLhuM4yCSjGB/LIBqRQUSwbBc13cK5izpcENQEPynag05fkiQc14Oum5goqsimls/qYYzh7IU6zs2bYkP6hG5aIM/FVDmD+ArtZjyP4diZeei2F/oN6ekejv76Y0vOcJJLCqb3bQ/EktJ0E4mohIliGvIKqb+GaePo6XnIkQiiEVFf12s8j6GuGShmYyjl1BXPnYs1Ay/M1pBMxgfSyxAEgSZJGJYN5th40VR+ReEENFoMlfMprK+kUavpcL3wTyblibpmIBtXsHlqZEXhBDQmqq4bzaKSjaNa1/u0Qn/gbcAgYwzVmo6xfALTleyKwgkA4rEINk8VEJEYDNPq0yqHA9txYegGNk/mUM6nVlWKs6k4tkwVYBkmHGdtXd0F7eOrgDJMCwkF2DiRX3UTtpKIR7FlugBNN3o2xXPYqdV1jBaSqHTY3iSfSWByREW1Fl4hxdOAQc9jqNcNbJrIIbOKwtYKEWG6kkU6JsMwhJDqBZbtAK7TEP4duLIVWcKmyQJcx4YthJSv+CagdMNCOiZjsry2an5FlrBpPI9ayLV3HqjWdEwWU8h1cCC2kknFMVFUUdOMHq+sP/AyYNDzGDRdx6bJ3KX4a6eMFtOIR6hxuArWjO04kDwXG8ZzkNZQYC9JhI3jeTiWBc8TSnQ3OI4DhqXdZb4IKMYYklHCaPHqBpKdEI3I2DCaCb2LKUhqmoHJoop0l723sqk4CmoUOncupsWHw9WHBQ8DBhljqNV1bJrId52tOlXJgjwXziqdxAVL4zgumOtg/Xiuqzi3JBE2jOdQ18T5tFYMw0JejQKM9U9ASRLWbDktJhGPopiJCd/7GtANC8V0rCNX0kpURlJQwLg5GHftunfRGIxG5/Fdu+694nU8DBis1w1cM57tWSnFutEs9JBatEHieQymaWHDWL4nSVgRRcZ0JY1qXbwXnWLZDuIRWjHs4MvOjPU406icT0Hi6GAMA5btIBEhlHo8ynndaBa6zsNmZKhWa1fMamrOcqpWa+BpwKCmmxgbUVdNTOkEWZYwVUmH1u0aFLW6jo1rdOstRyoRQ06NCLdrB7ieB8+xV50N5kua+Y4dO9jevXt7ek3H9fDssTmkU4meXncQ8TwG0zCweargS6r+hZqB03MGkoE3n7wslJrMzMxcNaI9SCzbQUxmPfMoLOb4mYuwPEkUubdBXTMwXkj2zKPQCmMMzx47j0RClMe0Q7WmYctU4VJndSLaxxjbsfh1oUnkV2QJpWycwxgIf9Q1A+vHuvOvr0QuFUdMZhyUAdCCMLoMT8LJ8xhc28ZEyb8JsuPFDEyxJ1bFsh2k4rIvwglYyLIsp1HX+5cRGlbqmoGpcrqtsR+hEVAAGu4q1xWp5yugGxZGC8k1Z4m1y2QlCz3wzcgW3HuXWWo0e1D4rSgAjUD9WEGFLlLPl4UxBsfyV1EAGvFyNSqLUMQK2I4LNSYjnWwvaStUAgoApsrC774crudBIYZCxn83qCJLyKvRAP3ul917MzMz2Lv3EczMzFwRkwoS3bRQysZ9VxQAIJeOQ4InFLdlqGkG1o1m+uJ6myilYQSuuPGLZVodKQqrCigimiKiHxPRASJ6ioje29UKuyQRjyIRkUTtwRLomonp0f5Nka2MpGBZtk9XXy19nJBOp66IOd199/sxMzODdDqFIN18jDGQ5/Y8QWUlJoop1IXidhWW7SCnRnuaoLISsiyhkI6JhIklqC249jpJUFk1SYKIxgCMMcb2E1EawD4Ab2CMPb3cz/iRJNGKZbs4eOIC0qpImGhimBbyagTFXP8ORQA4P69jtmoiEetdwsSuXfeiWq21xJMa1lI6ncJdd71r0asZrhRGix/3n2pdxzXj2Z5ns67G8yfmICnRnmaohR2trmPLtD/JQsvBGMMzR89DFefTJRzHhQxvWQV6zUkSjLGTjLH9C19XARwAMNHlersiGpGRiivC17sAYwzw3L4LJwAoZBLwetrupbP08auFUbCHc1Nj77dwAoCJUgZ1LkoA+KCuGZgor95fr9cQEUq5BAzfvAvhwzAtTJQ6b9zQ0S4iovUArgfw8yWeuwvAXQAwPT3d8UI6ZbyYxnPH5pASaeeNYHylu64d3VDJJ3F23kQi3gsr6nJm3u7duy+lkPOWPr4clmlj46j/nSmWIhqRocYUuJ439J22Xc9DTCGkAurEX8gkcPaiDojRQTAMC5V8sqN+rE3a/gkiSgG4H8D7GGPzi59njO1ijO1gjO0olUodL6RTFFmCGlc4SHUOFsf1oMaUHgmHtZHPJMDcXlpRfKePL0ezIDfIOpixkRQ0EaSHrpurFoH6CRGhlBVWFGMMzHPXnLjVloAioggawuk+xthX1vSbfGCsmIKmDfdmNHRzTaZzrynnkz2sUeM7fXwpGGOQ4CGX9qfOpl2iERnJIU8ismwHeTUaePFyIZOA6wx3skRdNzHZxfnUThYfAfgUgAOMsY+u9vp+ElHkrq0oT3NR/fIs5u55AdX7Z+Hp4bHILNtBIR1bk+nca/KZBLyeWFF8p48vR10zutqIvWSslB7qjD7LsjseK+MHRDTUGX2u5yGuUFcdZ9qJQd0M4K0AniSixxa+90HG2ANr/q09ZGwkhYMnLiKtdq658joGvF1sy0Y5oHjHUhTSMVQNp8upr0unjwMIPH18OVzPQzIqB+pmbSUWURCPSI109yFru6ObjXgHL/ddyqk4d/T8UE5C1nUTmyZyXV0jNL34VuJXL8whEo129KHkdQx4uxiGhWImhnwfinLbhTGGXx49j1RP0mv5Sx9fjsYYjVzgLqVWNN3C0bN1qG1W7A8KuqZjy/RI0Mu4ghOzVRgOuPp8+I3juFDIw1SlvbrM0PfiW4nRQhJah61eeBsD3ime53IlnICGSyOrRlcchd2+S5Wv9PHlcBwX6YTC3eGTTEQhE5/uUL/QdAujI/0vtViNSl4dun6JhmFhvMt5gECHaea8oiZikFHv6GfWMgbc01zUH5iDc8SEsj4G9bZCIFaWplsYK/C3EQGgnFfx3PE5pJSrhWfYXapLYRgWpqfyQS9jScq5JE5fNLhxPfpJI0nFRWYNrn6/kWUJyZgCz2NDUURt2Q7yqWhPYuMDIaAAoJhN4GwHHQ06HQPe2eHqr3tKgutbV+ZuUWQJyah81Wb0dO+qvx/QsFZPvflZ7l2qS2E7LrI92oh+kE3HcfJ8Z4pbWNF0E1MlfpWc0REVh05c7JH7m28sy8aGSm9i43zurDWQS8c7yiLrZAz4aodrq5uq3Smva6WumRgr8rsRAWB0JAXNuNICDbtLdSlM08Joge/3Ip8a/CwyxhgUmaAGVJTbDrGIAkUeDuupkIr1zFIcGAFFRMgkV45/tNLJGPD2D9dO2/R0BmMMssQCq45fCVdzcfq+0zj84cO48OVzkM0rY0trcanyTLPWhneXTTGX9LGhLx/UdRMTHMaeFlPJJwe+iNoyLZR7GH4YGBcfsHL8YymaY8DrD5yHc3j5uFL7h6u/bXo03cJkqb8b0dVczH51FvrzOhIbEyjeWYScuDIhYP6ReTx5+5OwT18+CJVyBLlPbUB2ZyPNtFOXKu/00o3hJ4Me/2CMISJTKOJsGTWOE+cG1+Vq2Q5Gsr2dKDxQAkqRpY7rP6SEhPTvF1e+bkeHa0NItY4h74VwCsJ6WkrwRCoRbP3GVmRuaLSRcXX3qtcAgHPGxvl3HEJ6fyO21HCpHl02rb/Vpco7YbGemowWVBw6NY9Uks+4ZTfUdRPry3y7WVvJqzHUrG5rBfnEMi2URnub4j8wLr4mlbwKTe9tSmcn8Sq/2vRouoWxProxlhM89mkbT97+JFy94Uqd/ersVa9p4s06qH7jHIDOXKq8Y1k2ypzHnlqJRRUo4fnztk2YrKcmg+pytWwHhUxvrSdgAAVUMhGF1OP6j/YPV3/a9HiaC/Nr5zF7z0mc/sLpS8LBT1YSPPZpG7NfnQUA6If0Fa+j/0q79HXTpVr+xEYUPjCB8ic2Ynrf9lClmIfNempSzCR62CuRDzTdxDin5RbLIbdkuQ4SlmWj7MOAzsGzM9HIXJrvuuXOlbQXr+p9mx7j0RpOvulZeLMO5ha+t9jN1qSdeFG7rCp4Fp5PbFw53pfYGLvC5dqOS5VnLDMcsafF5NJxnJ7TgHCF+palmbnXTZ+3oCjnkzhypgZ1QFyuzcw9P9pLDaSAGskmMXux9/2v2jlcGxNfW+ueaM0xqGZ6uzd7Zdym6Wbb+fzOSwKonXhRk3YE2eqCp/F88c4iIpXIktZWpBLBuplRnKhboTxIFtOsewqb9QQ0slxTCQW260HhtG6rExoJQ8mgl7EmEvEoBinj3LJslHxS2sL/SV0CSaKAZ0W116ZntbY/K6W3t7rZ2o0XAQ1B9vDGh3HgLQdw+K8P48CbD+DhDQ9j/pErR3w1Bc9SRCoRFO9sCGo5IWPrN7Ze9dqmcEwXkgDz3yXZDxqD18LlUmqlUkhBNwYjzZnXcot2KWTiMAcgFmU7LnI+urwH0oICgMqIikMn+c1caqczxWrp7U03WzvxosqbKqsKslaLrCl4lrPKWi2uzA0Z7Hx+Z8MqO3S1VZZLxVAzw5255LgeMkmF264R7RBRZEQHIFui0eornNZTk0ImgTNzOmIhn7hrGhbW+djqK7wnxirEIgoUTs3odtv+eOMrvz1NN1u78aJ2BVmT1QRPK3JCvuJnWylmkzh/bC7UAsowTExN8tlzrxNKuQROz+lIxMNrfUjwuOy51wlEl708shROpcFxXKR9VtrC+ZdpkxFORy6325ki/upUW262duNF7QqyVpqCZ/2H1qPypsqaki5kWUIiJsOP0S79wPU8qDFlIGI3WTUOzw3PUM7FGIaFci7c1lOTyoga6s4ShmFhdMTfIZ3h33ErkE/H4XDYh6xgAFefAAAOGElEQVSdzhSGZaNUUVeM7zSFRbvxonYFmR+Uc8me16f1C003McrBhNZekVllJArPeJ6LbDrc1lOTWERBJKTZEq7nQY37r7SF1+fSBkSEdEKBw5kZ3U5nCsd2UMhkQDfQqm62duNFq2XcNQWZHzTq02q+Xd8vPI8hEZEQjfA176kbynkVzx6bQzoVrs7ahmWjNCDWU5NiJoHZmoV4yGJRmm5ic5fTctthoAUUAJTzKRx84QJXm3G1tj+RV2aQzSiX6gpWiu80aSde1Enigx/4UZ/mN5puYON4e1NBw8JaWoLxgGs7yKczq78wROTScZya04AQCSjPY1Cjcl+GdIbnpFgj0YiMCGfZEs3OFFdn8TU6Uziyi2K280OxV4LML/yqT/MLxhhiioRYSNbbCaV8Ei/MaqEZCd9opeNPMWiQNL08YapPq2sGrpnoj9I2eDtvCcpZ/iaLLteZwo0wpBX4WgzajiDzA0kiJOPh6ayt6SbWhagRaSekkzEQwuNytSwbpdHwdfBoh3I+hYMnLiIdgsxExhjikf4pbUMhoDKpGE7O8dfmfqnOFFpN97WuIGjC0lm70T0eXCk1vSYXks7azf6Hg2Y9NYlGZMQ48/IsR7+7x4fDpuySTocZBkU/6gqCJhbltz6tFc2wMBqyRqSdUswlYZn8lWEsxjLD1T1+LRSzCe67fATRPX5wT8JFlPMq992c+1FXwANFTuvTWpHBkA5JfGatNIYZ8t1Z2wlx/8NOyKbiYIG1ZmuPhtLW3yzKoRFQiiwhrkjcFos6rgc1MRjFoKuRS8fhclif1kTTTZTzg5XOvBzlfJJrzd0ww93/sBOyyShsjr08MvW//+Hgn4YtVApJaAafVpSumxgboGLQlWh21nY47WhAYMim+I6R9QqeO2s7rod0YrBd3q2U8ipMTr08mm6hEoDSNhzv/AJqIgaJ8XcoNquy+1FXwAu8dtYepFY67cJrSzBDN4fC5d1EliUkOB1mGFT/w6ESUECj/ZHFmXtJ002MF4fDemoSUWQkIvy5XJnnIjcgrXTaJc+hy3WYXN6tVDh0uQbp8h6udx+NYlGLI23R9by+VWXzRiWvctWfTzesgWul0w5ExF1/PsMYHpd3Kzy6XIl5gbm8h05ASdJCfz5ONqOmmxgrDo8bo5VkIgqZOLKgPBf5DD8tsfpJOa9C5yQ+67iN7vHDqLQBjcbKvLwXmm6iEmC5xdAJKAAYHUlz8QFojnEYpEaknTKSTXCR/j+s1lMTRZagcpJyrusmxobM5d1KJhWD5/KhQAdpPQFDKqAUTuo/NG34Yk+Lyafj8DiwZpk7vNZTk9GRFOq6EegaHNdDKjG81hPQcLkWMjGYVrBxQd2wArWegCEVUECj5Y4WYDDScT2khixzbyl42Iy6YQ5814h2iEUVRAOuFTR0E+ND6vJupZhVYdsBx8o9N/Byi6EVUPFYBBGZAtuMw+7GaCXwzeh5AzMEr1vGCsENlrQXWn0NW+beUkgSIRtg4kpd4+N8GupPwnghmCwy23GRSQrrqUlzMwZRRV8XisIVqIkYZCkYpc0wLIwNUd3TapTzKowAYuWMMSgyuGj1NdQCKpmIBrIZTVNsxMVU8irMPm9GxhgUGvyee51SyfffirJsByPp2NB0jWgHRZYC6bhS1wxMjPDh8h76T8NoQUVd718syrIdjGTERlyMLEvIpvprRdU0E5MloSgsJqPGQay/1qxt2SiLOOBVjBXTMPp4Prmeh2RU5mbMzNCfkulkDDKxvsWibMtGKSc24lL004pyXA+pmIx4LDyjtvvJ6Ej/FDfdMFHJJwd23lM3KLKEdLJ/dZu6ZmKcI6Vt6AUUAEwWU33ZjHXdxPiIKjbiMjStqH60ojJ0vjYib2TUeF8UN8YYiHlDn+K/Ev2q27QdB9lUlKvYuBBQaLQXicnka12U5zFEJCAzJF2y18poIQXL58Jdw7Ixko2JbLFVmBjxX3GraSamyhlff0fYUWQJhT4obqZpc9deSuzQBSbKaV+LFOuaITZiG0gSoVLwb7gkYwzMcVDO87UReSSZiCKuEFyfBunZjotMQrhZ26EykoLtYw/RumZigkPvjhBQC8QiCnKqP1qKYdkoZmND3dKoEwqZBOC6vriXanUDU2Xh2muXyXIGmuaPFWWaFsaLQmlrByLyrdO543qIK3x6d4SAamFsJAXL7K2WwhgDXKGxd8pUOY1ajw9Gy3aQS0W5yVAKAxFFRjEbg9lj7b2mGZgqpwZ+lHsvyWcSkMB6HorQdQNTlWxPr9krhIBqgYgwUVSh9dDvXq8bmB7l883nmUQ8ikxChu30xqJljMGx+POxh4FSToXnOD2zaC3bQTou9318+CCwbjSLuta7UERdMzBZTHFb9sLnqgIkk4ojEZV64uqr6yZGC0nEIkoPVjZ8TJQysE27Jwdjra5j/XiWOx97GCAiTI9mUKt3fzB6HoNr25goCdfeWogoMsq5eE86TFi2g1Rc5tK116QtAUVEtxLRM0R0kIg+4PeigmaqnIFtdXcwWrYDNSqJ9NkuICKs68HBWNMMjBdTQlHogng00jgYu0xeqdV1bBjPCUWhC4o5FRGJdVXU7rgemOtwryisKqCISAbwcQCvAfBSADNE9FK/FxYkRIT1Y2s/GG3HBTwHkyJrr2visQjGR9budtUNE4VUFDmOtcSwUMypiMm0Zu9CtaZj3WiaqzqbsDI9moNtWmuKR3keg2EY2DDGv6LQjgV1I4CDjLFDjDELwBcB3OHvsoInHo1g/Wga1ZrW0c85jgvPsbFxPM/9mx8Wcuk4cslIx/3hdMNCKq6gUhBxp14xVcmAPLfj2GC1rmOyqIq4U4+QJMLGiRzqmtGRkPI8hrqu45rxPLdxp1baWeEEgGMtj48vfG/gScajmCqlUa3pbX0IDMsGcx0hnHygMpJCIRVpO0Bc1wxkE4qYLdRjiAgbxnOA68JoI7PP8xiqNR2TIyrXsY4wElFkbJ7MQdf1tmrVHMeFrhvYMlkITclLOwJqqZP2qtOaiO4ior1EtPfs2bPdr4wT0moMmyZyMHRj2Q3peh6qNR3pqISNE3mROusTpbyK0XwStZq2rP/dcVxUazrGCklURMaeLxARNk7kkYnJqNaXV94Mw4JpGNg0kRPCyScaQqoA5tjLdv1gjKGuGZDJw5apQqg6qLQTNT4OYKrl8SSAE4tfxBjbBWAXAOzYsSPYWeo9JhqRsWW6gPPzOs7NG3BcBkmS4DEPEoBETMHmyZzwrfeBXDqOjBrDidl51DULHgMkSYLrelBkIJWIYt10QSgJfaAykkIuHcepczXUNBcggCQJzPUgy4RSNiGShPqALEvYMJ7HfM3AmQsabJeBSAIDAxhDTJEwWQqne7UdAfUIgM1EtAHACwD+GMCbfF0VhxARRrJJjGST8LxGBg0RhcZUHiQkiTBZbtSWWbYLBgaJSCgIARCLKlg3lmvUmbkeXNdDNKIIBSEAMqk4Mqn4FeeTIkuhfi9WFVCMMYeI3gPguwBkAJ9mjD3l+8o4RpIIsahIWeYBoSDwAS0oCEJJCJ5BOp/augvG2AMAHvB5LQKBQCAQXCI80TKBQCAQDBVCQAkEAoGAS4SAEggEAgGXCAElEAgEAi4RAkogEAgEXCIElEAgEAi4RAgogUAgEHCJEFACgUAg4BLq1RjnKy5KdBbAkZ5fuPcUAcwGvYg+M2z3LO53sBm2+wUG857XMcZKi7/pi4AKC0S0lzG2I+h19JNhu2dxv4PNsN0vMFz3LFx8AoFAIOASIaAEAoFAwCXDLqB2Bb2AABi2exb3O9gM2/0CQ3TPQx2DEggEAgG/DLsFJRAIBAJOEQJKIBAIBFwytAKKiG4lomeI6CARfSDo9fgNEX2aiM4Q0S+CXovfENEUEf2YiA4Q0VNE9N6g1+Q3RBQnoj1E9PjCPf9N0GvqB0QkE9GjRPTNoNfiN0R0mIieJKLHiGhv0OvpB0MZgyIiGcCzAF4J4DiARwDMMMaeDnRhPkJEtwCoAfgcY+zaoNfjJ0Q0BmCMMbafiNIA9gF4w4C/vwRAZYzViCgC4EEA72WMPRzw0nyFiN4PYAeADGPsdUGvx0+I6DCAHYyxQSvSXZZhtaBuBHCQMXaIMWYB+CKAOwJek68wxn4C4HzQ6+gHjLGTjLH9C19XARwAMBHsqvyFNagtPIws/Bto7ZOIJgG8FsAng16LwB+GVUBNADjW8vg4BvwAG1aIaD2A6wH8PNiV+M+Cu+sxAGcAfJ8xNuj3/DEAfwnAC3ohfYIB+B4R7SOiu4JeTD8YVgFFS3xvoLXNYYSIUgDuB/A+xth80OvxG8aYyxjbDmASwI1ENLCuXCJ6HYAzjLF9Qa+lj9zMGHsZgNcA+LcLbvuBZlgF1HEAUy2PJwGcCGgtAh9YiMPcD+A+xthXgl5PP2GMXQDwfwHcGvBS/ORmAK9fiMt8EcDvENHng12SvzDGTiz8fwbAV9EIVQw0wyqgHgGwmYg2EFEUwB8D+HrAaxL0iIWEgU8BOMAY+2jQ6+kHRFQiotzC1wkAvwfgl8Guyj8YY3/FGJtkjK1HY//+iDH2loCX5RtEpC4k/ICIVACvAjDwGblDKaAYYw6A9wD4LhoB9C8xxp4KdlX+QkS7ATwE4EVEdJyI/izoNfnIzQDeioZW/djCv9uCXpTPjAH4MRE9gYYC9n3G2MCnXg8RFQAPEtHjAPYA+BZj7DsBr8l3hjLNXCAQCAT8M5QWlEAgEAj4RwgogUAgEHCJEFACgUAg4BIhoAQCgUDAJUJACQQCgYBLhIASCAQCAZcIASUQCAQCLvn/6LrIB3wjSGAAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m.plot()\n", "ax = plt.gca()\n", "ax.plot(test_X, test_Y, \"mo\", mew=2, label='Test points')\n", "\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we might have expected, the fit is not very good. Let us create a data set having periodicity where our periodic kernel would be of good value." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEHCAYAAACwUAEWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nO3df5DU9Z3n8ec74yiUgt7K9GAYCaBUQtvAiI1BpKh0FqOYxB93dkQ3JBotYsLUoZa5IxUto+dtTLzKrcZmjXFxzZ6KmexiyK0XE9c2BhNWBkNkbJZIkJURnG7IKhhRYXjfH9M9GaCnp4eZ7m//eD2qppxvf7/z7XeP3bzn8/Nt7o6IiMhAPhR0ACIiUtmUKEREpCAlChERKUiJQkREClKiEBGRgpQoRESkoOOCfHIzWwl8Bki7eyTP+U8APwFeyz70T+5+52D3HTdunE+aNGkEIxURqW0bNmzY7e5N+c4FmiiAvwfuB35Y4JpfuftnhnLTSZMm0dHRMZy4RETqipn9+0DnAu16cvfngT8GGYOIiBRWDWMU55nZ78zs/5nZWQNdZGZLzKzDzDoymUw54xMRqWmVniheAj7i7jOB7wFPDnShuz/o7lF3jzY15e1mExGRYxD0GEVB7r633/dPmdkKMxvn7ruDjEtEhu/AgQN0dXXx3nvvBR1KXRk1ahQtLS00NjYW/TMVnSjMbDzQ7e5uZufS2wLaE2RMPe/2sHv1bva/tp/RU0Yz7vJxNIxuCDIkkarU1dXFmDFjmDRpEmYWdDh1wd3Zs2cPXV1dTJ48ueifC3p67OPAJ4BxZtYF3A40Arj7A8AVwFfM7CCwH1jkAW53u3f9XjZ9dhMHug/0PdbY3Mj0n05n7OyxQYUlUpXee+89JYkyMzNOPfVUhjqOG2iicPerBjl/P73TZwPXs7/nqCQBcKD7AJs+u4k5r81Ry0JkiJQkyu9YfueVPphdMXav3n1Uksg50H2A3as1bCIitUmJokj7t+0f1nkROXaJRIJ0Ot13nE6nSSQSw7rnnj17aG1tpbW1lfHjxzNhwoS+4w8++KCoe1x77bVs2bJlWHEUsmPHDq688sqC1xw6dIi77767ZDGAEkXRRk8ZPaTzpXhji9SjRCJBW1sbsViMdDpNOp0mFovR1tY2rM/UqaeeysaNG9m4cSM33HADN910U9/x8ccfD/QO/h46dGjAezz88MN89KMfPeYYBnP66afzxBNPFLxGiaKCjLt8HI3N+aeTNTY3Mu7ycX3HpXpji9SjeDxOOBwmlUoRiUSIRCKkUinC4TDxeHzEn2/r1q1EIhFuuOEGZs2axa5du1iyZAnRaJSzzjqLO+/883Zz8+bNY+PGjRw8eJBTTjmF5cuXM3PmTM4777zD/lDMufXWW/niF79ILBZj6tSprFy5Euj9x/7mm28mEokwffp0fvzjH/fF0traCsBDDz3EFVdcwYUXXsjUqVP5+te/DsDy5cvZt28fra2tfOELX2Dfvn0sXLiQmTNnEolE+u41LO5ec1/nnHOOl8LbL77ta5vXepJk39fa5rX+9otvH3Zdd3e3h8NhB7ypqcmbmpoc8HA47N3d3SWJTaTapFKpoq/t7u7u+xzlPlcj+Vm6/fbb/Z577nF391dffdXNzF988cW+83v27HF39wMHDvi8efP8lVdecXf3888/33/729/6gQMHHPCnnnrK3d1vuukm/9a3vnXU83zjG9/ws88+2/fv3+/d3d0+YcIEf/PNN33VqlV+4YUX+sGDB33Xrl3e0tLi3d3d/uqrr/rMmTPd3f0HP/iBn3nmmb53715/9913vaWlxd944w0/cOCAn3zyyX3PsWrVKr/hhhv6jt96662j4sj3uwc6fIB/U9WiGIKxs8cy57U5THt0GpP+xySmPTqNOa/NOWpqbCgUIplM0tTURCaTIZPJ0NTURDKZJBQKBRS9iBTrjDPOYPbs2X3Hjz/+OLNmzWLWrFls3ryZVCp11M+MHj2ahQsXAnDOOeewffv2vPe+7LLLGDVqFKFQiPnz57N+/XrWrl3L1VdfTUNDA+PHj2fevHl5NzZdsGABY8aMYfTo0XzsYx/j9ddfP+qaGTNm8LOf/Yzly5fzwgsvcPLJJx/jb+HPlCiGqGF0A81XNzPp1kk0X92sKbEiJZbrus39wZX7AyzXtVsKJ554Yt/3r776Kvfeey/PPvssL7/8MhdddFHe1eS5cQ2AhoYGDh48mPfeR05PNTO8yOVhJ5xwwqDPMW3aNDo6OjjrrLP42te+xl//9V8Xde9ClChKIIg3tkitam9v7xuT6OzspLOzs2/Mor29veTPv3fvXsaMGcPYsWPZtWsXTz/99LDu9+STT/L++++ze/dufvWrXxGNRpk/fz6rVq2ip6eH7u5uXnjhBaLRaFH3O+643uVwuaTxxhtvcNJJJ7F48WJuvvlmXnrppWHFCxW+hUe16v/GTiaTAMRisb439tKlSwOOUKR65D4v8Xi8r+s2mUyW7bM0a9YswuEwkUiEKVOmcP755w/rfrNnz2bhwoXs2LGDO+64g+bmZq644grWrVvHzJkzMTO++93vEgqF2Lt37+A3BK677jpmzJhBNBpl0aJFLF++nA996EMcf/zxPPDAA8OKF8CKbfJUk2g06kEXLkokEoe9sdPptJKESD+bN29m2rRpQYdRVrfeeivjxo3jxhtvDDSOfL97M9vg7nmbMWpRlMiRCSEUCilJiEhVUqIQESmTu+66K+gQjokGs0VEpCAlChERKUiJQkREClKiEBGRgpQoRKQq9LzbQ/ej3Wy/azvdj3XTs79nWPcbiW3GAVauXMmbb745rFhyVq9ezT333FPwmm3btrFq1aoReb5iadaTFE31wiUopShDnNtmHOCb3/wmJ510ErfccsuQ77Ny5UpmzZrF+PHjjymO/i6//PJBr8klikWLFg37+YqlFoUUZe/6vaybso7Nn9/M9tu2s/mvNrNu8jr2ri9u5ajIsRqsDPFwWxb5PPLII5x77rm0trby1a9+lUOHDnHw4EEWL17M9OnTiUQi3HfffTzxxBNs3LiRK6+8Mm9LZN68edx4442cd955TJ8+vW+jv927d3PJJZcwY8YM5s6dS2dnJ9C7lXhuMd7nP/95li1bxty5c5kyZQqrV68GercVTyaTtLa2ct9997Fp0yZmz55Na2srM2bMYNu2bSP++1CLQgaleuESpGLKEDdf3Txiz9fZ2cnq1av59a9/zXHHHceSJUtYtWoVZ5xxBrt372bTpk0AvPXWW5xyyil873vf4/777++rG3Gk999/n9/85jc8++yzXH/99WzcuJHbbruNj3/846xZs4af//znXHPNNXl3i02n07zwwgts2rSJz33uc1x++eXcfffd3H///Tz55JMAfOUrX+GWW27hyiuv5P333y96g8GhUItCBqV64RKkcpchfuaZZ1i/fj3RaJTW1lZ++ctf8oc//IEzzzyTLVu2sGzZMp5++umit+++6qqrAPjkJz9JOp3mnXfeYe3atSxevBiAT33qU+zcuZM//elPR/3sZZddhpkxY8YM3njjjbz3nzt3LnfddRff+c532LFjB6NGjTrGVz4wJQoZlOqFS5CGWoZ4uNydL33pS31lUbds2cJtt93Gqaeeyssvv8y8efO47777+PKXv1zU/YrZVnygVkD/bcUHumbx4sWsXr2aE044gQsuuIDnn3++qLiGQolCBlXuD6pIf0MpQzwSFixYwI9+9CN27+5tKe/Zs4fXX3+dTCaDuxOPx7njjjv6tu8eM2YM+/btG/B+uZrXzz33HM3NzZx44onMnz+fRx99FOhtwbS0tBxWA6OQI59v27ZtnHnmmSxbtoxPf/rTvPzyy8f0ugvRGIUMKvdBzdf9VIoPqkh/DaMbmP7T6QPOehrp8bHp06dz++23s2DBAg4dOkRjYyMPPPAADQ0NXHfddbg7Zsa3v/1tAK699lquv/56Ro8ezYsvvnhYASOAsWPHMnfuXPbt28fDDz8MwJ133sm1117LjBkzOOmkk/oeL8bZZ59NT08PM2fO5LrrrmPv3r08/vjjNDY28uEPf7gk+0lpm3EpSimmJ0p9G+o24z37s9Ozt1XP9Ox58+YVHOgOirYZl5LI1Quvtg+q1I5cGWIpv0AThZmtBD4DpN09kue8AfcCFwPvAte4+/Dr+skx0QdVZGjWrl0bdAgjIujB7L8HLipwfiEwNfu1BPjbMsQkImVSi13fle5YfueBJgp3fx74Y4FLLgV+6L3WAaeY2WnliU5ESmnUqFHs2bNHyaKM3J09e/YMea1FpY9RTAB29Dvuyj6268gLzWwJva0OJk6cWJbgROTYtbS00NXVRSaTCTqUujJq1ChaWlqG9DOVnigsz2N5//xw9weBB6F31lMpgxKR4WtsbGTy5MlBhzEiEokE8XicUCgE9G690d7eztKlSwOObGRUeqLoAk7vd9wC7AwoFhGRoyQSCdra2lixYgXJZBKAWCxGKpUCqIlkEfRg9mDWAF+wXnOAt939qG4nEZGgxONxwuEwqVSKSCRCJBIhlUoRDoeJx+NBhzcigp4e+zjwCWCcmXUBtwONAO7+APAUvVNjt9I7PfbaYCKVoVLtCqkXoVCIZDJJJBLpG29pamoimUz2dUVVu0AThbtfNch5B6q/3VZntIpbpLZUeteTVJkgisyIBCmdThOLxchkMjQ1NdHU1EQmkyEWi5FOp4MOb0QoUciIUu0KqTft7e19YxKdnZ10dnb2jVm0t7cHHd6IqPRZT1JlVLtC6k1uVlP/6bHJZFLTY0UGotoVUo+OTAihUKhmkgSo60lGWLmLzIhI6SlRyIjKFZk5MlmUqsiMiJSeup5kxKl2hUhtUaKQklDtCpHaoa4nEREpSIlCREQKUqIQEZGClChERKQgJQqRQSQSicP27Emn0yQSiQAjkmpVre8lzXoSKaAeitJIeVTze8lqsbB5NBr1jo6OoMOQGpDbGTSVStHU1ARAJpMhHA7XVL0BKb1Kfy+Z2QZ3j+Y9p0TRS4V2ZCDpdPqoojSdnZ2Bf7Cl+lTye6lQolDXEyq0IyJSSN0PZqvQjhRSD0VppDyq+b1U94lChXakkHooSiPlUc3vpbrvelKhHSmkHorSSHlU83up7gezux/rZvNfbR7w/LRHp2lzOxGpeYUGs+u+60mFdkRECqv7RKFCOzLSet7tofvRbrbftZ3ux7o1IUKqXt2PUYAK7cjI0VRrqUVKFFkqtCPDNdhU6zmvzdEfH1KVAu16MrOLzGyLmW01s+V5zl9jZhkz25j9uj6IOEWKoanWUqsCa1GYWQOQAC4AuoD1ZrbG3VNHXPqEu7eVPUCRIdJUa6lVQXY9nQtsdfdtAGa2CrgUODJRiFSF0VNGD+t8LdCeabUpyEQxAdjR77gL+Hie6/6Lmc0Hfg/c5O478lyDmS0BlgBMnDhxhEMVGVxuqnW+7qd6mGqtgfzaFeQYheV57MjVfz8FJrn7DOAZ4JGBbubuD7p71N2juS18Rcqpnqdaa8+02hZki6ILOL3fcQuws/8F7r6n3+EPgG+XIS6RY1avU62LGcjXrMLqFWSiWA9MNbPJwBvAIuDq/heY2Wnuvit7eAkw8F4bIhWiHqda1+pAvsZcegWWKNz9oJm1AU8DDcBKd3/FzO4EOtx9DfBfzewS4CDwR+CaoOIVkYHV4kC+xlz+rO43BRSR4evZ38O6yesGHMivtsWGtfZ6iqFNAUWkpGptIF+LJw+nLTxEZETU0kB+rY65HCslCtGAnYyYWhnIr8Uxl+FQoqhzGrATOVq9L548ksYo6pgWSYnkV2tjLsOlFkUd0yIpkYHV0pjLcClR1DEN2IkUVitjLsOlrqc6pgE7ESmGEkUdyw3Y5VOPA3Yikp8SRR3TgJ2IFENjFHVOA3YiMhglCtGAnYgUpK4nEREpSC0KESlIW7yIEkUF0AdRKpW2eBFQogicPohSqQbb4qUWazJIfhqjCJD2WpJKppoMkqNEESB9EKWSaYsXyVGiCJA+iFLJtMWL5ChRBEgfRKlk2uJFcpQoAqQPolQybfEiOZr1FKDcB3GgWU/6IErQtMWLgBJF4PRBlEpXii1etHaouihRVADttST1RGuHqo/GKESkbLR2qDopUYhI2WjtUHUKNFGY2UVmtsXMtprZ8jznTzCzJ7Ln/9XMJpU/ShEZKVo7VJ0CSxRm1gAkgIVAGLjKzMJHXHYd8B/ufibwv4FvlzdKERlJWjtUnYJsUZwLbHX3be7+AbAKuPSIay4FHsl+/2PgL83MyhijiIwgrR2qTkEmignAjn7HXdnH8l7j7geBt4FT893MzJaYWYeZdWQymRKEKyLDpUV81SnI6bH5WgZ+DNf0Puj+IPAgQDQazXuNiARPa4eqz4CJwsz+wd0Xm9kyd7+3BM/dBZze77gF2DnANV1mdhxwMvDHEsQiImWktUPVpVCL4hwz+wjwJTP7IUf8de/uw/0Hez0w1cwmA28Ai4Crj7hmDfBF4DfAFcCz7q7WQg3RCl2RylcoUTwA/AyYAmzg8ETh2cePmbsfNLM24GmgAVjp7q+Y2Z1Ah7uvAf4O+Acz20pvS2LRcJ5TKotW6IpUBxvsD3Qz+1t3/0qZ4hkR0WjUOzo6gg5DCujZ38O6yevyLr5qbG5UmU2RMjOzDe4ezXdu0FlP1ZYkpDpoha5I9dAWHhIIrdAVqR5KFBIIrdAVqR5KFBIIrdAVqR5KFBIIrdAVqR4qXCSBqfcVulpDItVCiUICVa8rdLWGRKqJup5EykxV3qTaKFGIlJnWkEi1UaIQKTOtIZFqo0QhUmZaQyLVRolCpMy0hkSqjRKFSJlpDYlUG02PFQlAva8hkeqiRCESkHpdQyLVR11PIiJSkBKF1LWed3vofrSb7Xdtp/uxbi12k4qRSCRIp9N9x+l0mkQiEUgs6nqSuqVtNKRSJRIJ2traWLFiBclkEoBYLEYqlQJg6dKlZY1HLQqpS9pGQypZPB4nHA6TSqWIRCJEIhFSqRThcJh4PF72eJQoapS6VArTNhpSyUKhEMlkkqamJjKZDJlMhqamJpLJJKFQqOzxqOupBqlLZXDaRkOkeGpR1Bh1qRRH22hIJUun08Risb6WRK5lEYvFDhvgLhclihqjLpXiaBsNqWTt7e19YxKdnZ10dnb2jVm0t7eXPR51PVWZwaqiqUulOLltNAbqotMKaQlSblZTPB7vG5NIJpO0t7eXfcYTKFFUlWLGHtSlUjxtoyGV7MiEEAqFAkkSEFCiMLO/AJ4AJgHbgc+5+3/kua4H2JQ9fN3dLylXjJVmsLGHOa/NoWF0Q1+XSr7uJ3WpHE3baIgMLqgxiuXAv7j7VOBfssf57Hf31uxX3SYJKH7sQTuTishIC6rr6VLgE9nvHwGeA/57QLFUhaGMPahLRURGUlCJotnddwG4+y4zG2gFySgz6wAOAne7+5MD3dDMlgBLACZOnDjS8QZuqGMP6lIRkZFSskRhZs8A4/Oc+sYQbjPR3Xea2RTgWTPb5O5/yHehuz8IPAgQjUZ9yAFXOI09iEhQSpYo3H3BQOfMrNvMTsu2Jk4D8q4gcfed2f9uM7PngLOBvImi1mk6p4gEJaiupzXAF4G7s//9yZEXmNl/At519/fNbBxwPvCdskZZYTT2ICJBCGrW093ABWb2KnBB9hgzi5rZQ9lrpgEdZvY7IEnvGEUqkGgrSG7sYdKtk2i+ullJQmSIKqnOQ7UIpEXh7nuAv8zzeAdwffb7XwPTyxyaiNSwSqvzUC20MltE6kY8HmfFihV9dR4AMplMYHUeqoU2BRSRulFpdR6qhRKFiIgUpEQhInWj0uo8VAslChGpG5VW56FaaDBbpE4NVtukFlVanYdqYe41t9sF0WjUOzo6gg5DpGKprrocycw2uHs03zl1PYnUGdVVl6FSohCpM6qrLkOlRCFSZ1RXXYZKiUKkzqiuugyVEoVIncnVNslHtU0kHyUKkTqjuuoyVFpHIVKHVNtEhkKJQqROqa66FEtdTyIiUpAShYiIFKREISIiBSlRiIhIQUoUUhUSicRh9QLS6TSJRCLAiETqh2Y9ScVLJBK0tbWxYsUKkskkALFYjFQqBaDtoUVKTIlCKl48HmfFihWkUikikQgAmUyGcDhMPB4PODqR2qeuJ6l4oVCIZDLZV7YyV8YymUz2FZ8RkdJRohARkYKUKKTipdNpYrFYX0si17KIxWKHDXCLSGkoUUjFa29vJ5VKEQ6H6ezspLOzk3A4TCqVor29PejwRALX824P3Y92s/2u7XQ/1j3iVQoDGcw2szjwTWAacK675y1wbWYXAfcCDcBD7n532YKUipGb1RSPx/vGJJLJJO3t7ZrxJHWvHPXPzd1H5EZDelKzacAh4PvALfkShZk1AL8HLgC6gPXAVe6eGuz+0WjUOzry5h4RkZrRs7+HdZPX5S1t29jcyJzX5hS9I7CZbXD3aL5zgXQ9uftmd98yyGXnAlvdfZu7fwCsAi4tfXRSzbQwT+pJueqfV/IYxQRgR7/jruxjeZnZEjPrMLOOTCZT8uCk8uQW5uUGuXOD4G1tbUoWUpPKVf+8ZInCzJ4xs848X8W2CizPYwP2k7n7g+4edfdoU1PTsQUtVS0ej/cNckciESKRSN8guBbmVSe1EAsrV/3zkg1mu/uCYd6iCzi933ELsHOY95QalluYF4lEyLUqtTCvemnrlsHl6p8PNEYxUvXPK7nraT0w1cwmm9nxwCJgTcAxiUiZqIU4uHLVPw9q1tPlwPeAJuAtYKO7X2hmH6Z3GuzF2esuBv6G3umxK939fxZzf816qk+5MYlUKkWu+zG3J5RaFdUpnU4f1ULs7OzU/8sj9OzvGXb980KzngJZR+Huq4HVeR7fCVzc7/gp4KkyhiZVrP/CvCO7KrTmQmpZqeufa/dYqRlamFdbjty6BejbukUtxPKq5DEKkSFbunTpYf+AhEIhJYkqpa1bKodaFCJSkdRCrByBDGaXmgazRUSGpuK28BARkeqhRCEiIgUpUYiISEFKFCIiUpBmPYlUgZ53sytvXzv2lbcix0qJQqTClaOCmUgh6noSqWA9+3uOShLQW5Rm02c3jXhtZJF8lChEKli5KpiJFKJEIVLBylXBTKQQJQqRClauCmYihShRiFSwXAWzfEaygplIIUoUIhWsXBXMRArR9FiRCjd29ljmvDZn2BXMRI6VEoVIFSh1BTORQtT1JCIiBSlRiIhIQep6EpGaoP2wSkeJQkSqnvbDKi11PYnUiEQiQTqd7jtOp9MkEokAIyoP7YdVekoUIjUgkUjQ1tZGLBYjnU6TTqeJxWK0tbXVfLLQflilp64nkRoQj8dZsWIFqVSKSCQCQCaTIRwOE4/HA46utLQfVukF0qIws7iZvWJmh8wsWuC67Wa2ycw2mllHOWMUqSahUIhkMklTUxOZTIZMJkNTUxPJZJJQKBR0eCWl/bBKL6gWRSfwn4HvF3FtzN3VdhSRvHL7YeXrftJ+WCMjkBaFu2929y1BPLdILcqNSeRaErmWRW7MopZpP6zSq/QxCgd+bmYOfN/dHww6IJFK1N7eTiqVIhwOk0wmAYjFYqRSKdrb21m6dGnAEZaW9sMqrZIlCjN7Bhif59Q33P0nRd7mfHffaWYh4Bdm9m/u/vwAz7cEWAIwceLEY4pZpFrlEkE8Hu8bk0gmk3WRJHK0H1bpmLsH9+RmzwG3uPugA9Vm9k3gHXf/X4NdG41GvaNDY98iIsUysw3unndyUcWuozCzE81sTO574FP0DoKLiEgZBTU99nIz6wLOA/7ZzJ7OPv5hM3sqe1kzsNbMfge8CPyzu/8siHhFROpZIIPZ7r4aWJ3n8Z3AxdnvtwEzyxyaiIgcoWK7nkREpDIoUYiISEGBznoqFTPLAP8+hB8ZB9Tj6m+97vqi111fhvq6P+LuTflO1GSiGCoz6xhoWlgt0+uuL3rd9WUkX7e6nkREpCAlChERKUiJole97iGl111f9Lrry4i9bo1RiIhIQWpRiIhIQUoUIiJSUF0nCjO7yMy2mNlWM1sedDzlYmYrzSxtZnWzyaKZnW5mSTPbnC3DuyzomMrFzEaZ2Ytm9rvsa78j6JjKxcwazOy3ZvZ/g46lnEa6jHTdjlGYWQPwe+ACoAtYD1zl7qlAAysDM5sPvAP80N0jQcdTDmZ2GnCau7+U3ZV4A3BZnfz/NuBEd3/HzBqBtcAyd18XcGglZ2Y3A1FgrLt/Juh4ysXMtgPRkSojXc8tinOBre6+zd0/AFYBlwYcU1lkiz/9Meg4ysndd7n7S9nv9wGbgQnBRlUe3uud7GFj9qvm/0I0sxbg08BDQcdS7eo5UUwAdvQ77qJO/uGod2Y2CTgb+NdgIymfbBfMRiAN/MLd6+G1/w3w34BDQQcSgFwZ6Q3Z6p/DUs+JwvI8VvN/ZdU7MzsJ+EfgRnffG3Q85eLuPe7eCrQA55pZTXc5mtlngLS7bwg6loCc7+6zgIXA0mx38zGr50TRBZze77gF2BlQLFIG2f75fwQedfd/CjqeILj7W8BzwEUBh1Jq5wOXZPvqVwGfNLP/E2xI5ZOt7YO7p+mt/XPucO5Xz4liPTDVzCab2fHAImBNwDFJiWQHdP8O2Ozu3w06nnIysyYzOyX7/WhgAfBvwUZVWu7+dXdvcfdJ9H62n3X3zwccVlmUoox03SYKdz8ItAFP0zuw+SN3fyXYqMrDzB4HfgN81My6zOy6oGMqg/OBxfT+Zbkx+3Vx0EGVyWlA0sxepvcPpF+4e11NF60zI15Gum6nx4qISHHqtkUhIiLFUaIQEZGClChERKQgJQoRESlIiUJERApSohARkYKUKEREpCAlCpESM7PZZvZyti7EidmaEDW915LUFi24EykDM7sLGAWMBrrc/VsBhyRSNCUKkTLI7ie2HngPmOvuPQGHJFI0dT2JlMdfACcBY+htWYhUDbUoRMrAzNbQu931ZHpLsrYFHJJI0Y4LOgCRWmdmXwAOuvtj2VrtvzazT7r7s0HHJlIMtShERKQgjVGIiEhBShQiIlKQEoWIiBSkRCEiIgUpUYiISEFKFB/fSGUAAAAQSURBVCIiUpAShYiIFPT/AXRdyfOp/pB8AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# lambda function, call f(x) to generate data\n", "g = lambda x: np.sin(6*x) + 0.5*np.cos(x)\n", "\n", "np.random.seed(0)\n", "# 30 equally spaced sample locations \n", "X2 = np.linspace(0.05, 4.95, 30)[:,None]\n", "\n", "np.random.shuffle(X2)\n", "\n", "# y = f(X) + epsilon\n", "Y2 = g(X2) + np.random.normal(0., 0.1, (30,1)) # note that np.random.normal takes mean and s.d. (not variance), 0.1^2 = 0.01\n", "\n", "train_X2 = X2[:10]\n", "train_Y2 = Y2[:10]\n", "\n", "test_X2 = X2[10:]\n", "test_Y2 = Y2[10:]\n", "\n", "# Plot observations\n", "plt.plot(train_X2, train_Y2, \"kx\", mew=2, label='Train points')\n", "plt.plot(test_X2, test_Y2, \"mo\", mew=2, label='Test points')\n", "\n", "\n", "\n", "# Annotate plot\n", "plt.xlabel(\"x\"), plt.ylabel(\"f\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = GPy.models.GPRegression(train_X2, train_Y2, k)\n", "m.optimize()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "

\n", "Model: GP regression
\n", "Objective: 6.688944496233991
\n", "Number of Parameters: 4
\n", "Number of Optimization Parameters: 4
\n", "Updates: True
\n", "

\n", "\n", "\n", "\n", "\n", "\n", "\n", "
GP_regression. valueconstraintspriors
std_periodic.variance 1.6241936960384638 +ve
std_periodic.period 2.0498165862939817 +ve
std_periodic.lengthscale 0.5405924861920798 +ve
Gaussian_noise.variance 0.026138350160739007 +ve
" ], "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m.plot()\n", "ax = plt.gca()\n", "ax.plot(test_X2, test_Y2, \"mo\", mew=2, label='Test points')\n", "\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the plot above, we can see that just using the periodic kernel is not very useful. Maybe we need to combine the RBF kernel with the periodic kernel? We will be trying two combinations: adding the two kernels and multiplying the two kernels to obtain two new kernels." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "k1 = GPy.kern.StdPeriodic(1, period=2)\n", "k2 = GPy.kern.RBF(1, lengthscale=1)\n", "k_combined_1 = k1+k2\n", "k_combined_2 = k1*k2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now try to visualise the two kernels." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "C1 = k_combined_1.K(data, np.array([[0.]]))\n", "C2 = k_combined_2.K(data, np.array([[0.]]))\n", "\n", "\n", "plt.plot(data,k1.K(data, np.array([[0.]])),label=\"Periodic\")\n", "plt.plot(data,k2.K(data, np.array([[0.]])),label=\"RBF\")\n", "\n", "\n", "\n", "plt.plot(data,C1,label=\"Periodic+RBF\")\n", "plt.plot(data,C2,label=\"Periodic*RBF\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also visualise the covariance matrices corresponding to the two new kernels we have created." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cov = k_combined_1.K(data,data)\n", "\n", "# Plot the covariance of the sample space\n", "plt.pcolor(data.T, data, cov)\n", "\n", "# Format and annotate plot\n", "plt.gca().invert_yaxis(), plt.gca().axis(\"image\")\n", "plt.xlabel(\"x\"), plt.ylabel(\"x'\"), plt.colorbar()\n", "plt.title(\"RBF+Periodic\");" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cov = k_combined_2.K(data,data)\n", "\n", "# Plot the covariance of the sample space\n", "plt.pcolor(data.T, data, cov)\n", "\n", "# Format and annotate plot\n", "plt.gca().invert_yaxis(), plt.gca().axis(\"image\")\n", "plt.xlabel(\"x\"), plt.ylabel(\"x'\"), plt.colorbar()\n", "plt.title(\"RBF*Periodic\");" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOy9d5xcZ33v/36mz/beq7qsYsuWZdkYd4oN2BBDQguQwOVCAhHiphIg+iUESLiJkQmBazCh/GxKkmtsY4MBF1xlSZZl9bba3vvsTi/P/WPmjNarnZkzO2dmzqzO+/XSy9LuzJzjOTPn+zzf8vkIKSUGBgYGBgZ6w5TvEzAwMDAwMFgKI0AZGBgYGOgSI0AZGBgYGOgSI0AZGBgYGOgSI0AZGBgYGOgSS75PIBk1NTWyo6Mj36dhYGBgYJBFXnnllQkpZe3in+s6QHV0dHDw4MF8n4aBgYGBQRYRQvQu9XMjxWdgYGBgoEs0CVBCiO8JIcaEEMcS/P4mIcSsEOJw7M8XtTiugYGBgcHKRasU3/eBfwN+mOQxz0kp367R8QwMDAwMVjia7KCklM8CU1q8loGBgYGBAeS2BnWtEOI1IcQvhRCbEj1ICPFxIcRBIcTB8fHxHJ6egYGBgYGeyFWAOgS0SykvB74B/DzRA6WU90kpt0spt9fWXtR1aGBgYGBwiZCTNnMppWvB3x8XQvy7EKJGSjmRi+PrgbAnzMRDE3i7vThXOal5Vw1mpznfp2VgYGCgW3ISoIQQDcColFIKIXYQ3blN5uLYesB1wMXRdxwlOBqM/8xab2XLo1sou7osj2dmYGBgoF80CVBCiB8DNwE1QogB4O8AK4CU8tvAu4FPCiFCgBd4r7xEjKjC3vBFwQkgOBrk6DuOsrN7p7GTMjAwMFgCTQKUlPJ9KX7/b0Tb0C85Jh6auCg4KQRHg0w8NEH9++tzfFYGBgYG+sdQksgy3vPetH6/eGN5iWw0DQwMDC7CCFBZxrnKqfr3e/bsYffu3fGgJKVk9+7d7NmzJ5unaGBgYKBLjACVZWreVYO13rrk76z1VmreVQNEg9HMzAx79+7lM5/ZHQ9Oe/fuZWZmxthJGRgYXHIIPd/4tm/fLleCmrnaLr5QOMzdn/46A/5qZDiEb3aYN7R6uG/vlxFC5OPUDQwMDLKOEOIVKeX2xT/Xtd3GSqHs6jJ2du+MzkGdX3oOyusP8bnvPM9QqAGTGTBbKa5dRbfZRu/oHB0NRju6gYHBpYURoHKE2WlO2q33jf9+leePDGImzOnffIO54ZOsuuVT0LKFT/7Lb/jxF99GRakjh2dsYGBgkF+MGpQO6Bqa4f8+exaQnHz8f/Phu95A0DvHW9YGmB/rYmLWxw+fOJ7v0zQwMDDIKUaAyjNSSr7+s0OEI5JGxzwfufsW7rnnHoQQ3Pv1f+G6Vj8A//nMWVxuf57P1sDAwCB3GAEqz+w/OcK+E8M47Rb+9S9/n69//Z54Q4QQgu/e+yWu3tCALxDmx0+eyvPZGhgYGOQOI0DlmYeePQfA7dd0sLq58qJuPSEEH33bZgB+8uRpvP5Qzs/RwMDAIB8YASqPzMz7efbIAELAnW9YlbCV/Mp1dWxsr2LeG+T5IwM5PksDAwOD/GAEqDzyxP4egqEImzprWN9WnfBxQgjedHV79DkHenN1egYGBgZ5xQhQeeTRF7oAuGVbCxZz8ktx8xWtALx8YphAMJz1czPQnpl5H6NT84TCkXyfioFBQWAEqDxxdmCa0/3TFDss3LKtNeXjW+pKWdtSiS8QZt+J4Ryc4fIIe8KMPjBKz5d6GH1wlLDXCKaRiOTwmREefv48vWNuTvdNM+1KLiJsYGBgDOrmjWdfi9aStm9ooKG6RNVzbrmylbMD0/x6fw83XN6SzdNbFoYx48X4AiH++cED/CqWzjWbBG+8vIU/uGkdlxfZsFoMLzADg0QYO6g88eKxIQCuWleHOUV6T+HmK6M7rReODekuTZTKmPFS3Ul99YH9PPrieYKhCKubK5BS8syr/fzHr07QMzyT79MzMNA1RoDKA7NuP8fOT2A2Ca7b3Kj6easay2mqLmbeG+TcgL5ubmqMGS81nnqlj8de6sZqMfHl/3kDX/vTm/n6rtsoslvYf3KYpw8P4nL78n2aBga6xQhQeeDl48NEJKxvraSxulT184QQbFsX1fM7cEpfdah0jRlXOhOzXr70o30AfOitm2mrK8Xt9lJeZOGP374VgB89cZKTvVP5PE0DA11jBKg88EIsvXf5mlps1vRqENvW1gJRBQo9kY4x46XAT586zZwnyOVr6njjlkaaq51saK9mXWslN13eyPYN9fgCIR5/uUd36VoDA71gBKgcE4nIeP1px4bE6uaJ2La2DoDj3ZO6MjFUa8x4KeALhHjo2bMA3PmGTlprSygpsgNgMZtob6jgrutWAfDca4MMjrvydq4GBnpGkwAlhPieEGJMCHEswe+FEOJeIcQ5IcQRIcSVWhy3EDk7MM3MvJ/qMgebOhIP5yaita6U6jIHc94gvSP6ubGZnWa2PLrloiCldPEt9L5a6fzq5R5m3QE6G8u5el0dZSUX26TcclUbbXWlzHkCPHWoPw9naWCgf7TaQX0feGuS398OrI39+TjwLY2OW3C8enYMgA3tVUveuFIhhIjvog6c0leaTzFm3PjARjr+oYOND2xkZ/fOS6rFXEoZF/V9y9XtNNQsXWO0WS3c+YbVADx5aACff+kGEwODSxlNApSU8lkgWbX3LuCHMso+oEIIob59bQXxWtc4ABvaKlW3ly9GCVB6q0PBBWPGjs93UP/++ktq5wRw5PwE54dmKS+28ZYd7Qn1FQHuvmktDpuZ031THO2+9LocDQxSkasaVDOwMI8xEPvZRQghPi6EOCiEODg+Pp6Tk8sVUkoOn43+P23pXH5N5opYgDpy3rip6Y2nY+m6HRsbaEqwe1Iocdq4ZmMDAC8cGcr6uRkYFBq5ClBLLSOXrPBLKe+TUm6XUm6vra3N8mnlluFJNxOzXoodVja2VS37dVY3l+O0W5hy+ZieM+Zo9IIyhAtw87ZWTKbEuyeFm2LD16+eGycS0U/Ti0FiFjcn6alZaaWRqwA1ACwUnGsBLrkl4+Fz0d3T2pYKykrTrz8pmE0m1rVUAhhzNDri3OAMgxPzlDitXL91yQTBRVy/pQUh4Ez/NGNT7iyfoUGm7Nmzh927d8eDkpSS3bt3s2fPnvye2AolV1p8jwCfEkL8BLgGmJVS6mvSNAccidWf1rdVplQvT8X6tkpe6xrnePcE121u0uL0ckrYE2bioQm83V6cq5zUvKum4OtVyu5p25panPalW+4XU1FiZ31rJaf6pnn+6CDvvnl9Nk/RIAOklMzMzLB3714C0kLl5nfy7MHTzPsuoy3gIhgKG9qKGqNJgBJC/Bi4CagRQgwAfwdYAaSU3wYeB+4AzgEe4I+0OG6hcTjWwbepPf328sWsb42mCI8VYB1qpYrKPv1qVAD4litTq9Mv5PotzZzqm+bgmVEjQOkYIQT33HMPIWnm6YEqiry9gAOLHYZCxey692n++RM3UFJky/eprhi06uJ7n5SyUUpplVK2SCnvl1J+OxaciHXv/amUcrWUcouU8qAWxy0k5j0Bzg/PYjELNndqEKDaoym+riF9afKlYqWKyo5MuTk7MI3daubmK9vSeq6SDnzt3ATBUGH+/18qBEMRvE1vpqi6Hf/cBCd+/nfs/fRNlBXbOHBqlH96cH++T3FFYShJ5IiTfVNIGR20rakoyvj1VjWWYzGbGJ32Mu8tnBmalSoqe+j0KADrWisodqa3gt7YXk1ZkY2JWS9n+oyaop556LmzHOmaIOiZ5fTjX8Ez3sXP7v8a3/3LN2ExC57Y38vZgel8n+aKwQhQOeJU7MbT0VCOw555ZtVqMbOmuQKAM/2Fc1NbqaKyr5yJpm+3rUm/89RkEmxdHR07eCWWBjbQH15/kL0/fQmADWWT+GaG2bVrF3v37mXvP+3h7hvXIoF/+ekllyDKGkaAyhGnYt12a5orkg5vpsP6tmia73gBDXmuVFHZV2I7qDduXZ6RpDLbdsroytQtP3++i6C04cDLA9/4XLwmtWvXLioqKvjY27ZQ7LDwyukx9p+85HrAsoLhqJsjlHbwtS0Vmr3m+rYqoIujBdQooYjKLpXmK1RR2ZFJN4MT8zhsZrYsYwcFsDk2uH12YAYppWaLGANt8AfDfP+XxwH47AdvwGyOduspQUq5Xu+/bSPf+cVR/uuZM+zYeEmK5WiKsYPKAfPeIP1jc1jMgo3tyx/QXcz61ugOSm/mhclYiaKyh87E6k8tFZhNy/tKXdZRjUlA3+gcs/PG8LXeeOHoIFMuH801xbzjutWv+93CxcQdOzsBePHYMF5/KKfnuBIxAlQOOB2rP7XUllKZwYDuYlbHalDDU+6C8hRaaaKySv3pimXungCcdgurmyuISBkPeAb64Yn9PQDcsq0VS5JZp5a6UjZ3VuMPhvndYUOlPlOMAJUDLjRIlKVtUJiMYoeV+soiQmHJ0MS8Zq+bC1aSqKxSf7rhivTmnxazZVU0zXf0/GTG52SgHfOeAM8fGUQAb4/5eCXjLTs6AHj0xfPZPbFLACNA5QAlQK3WsEFCobOpHIjK7BjknokZb7z+tHlVZvWzraujO7BTfUabsp546tV+AqEI61or6GxKXUO+bXs7JiF45fQos25/Ds5w5WIEqBygdGatbS7X/LVXNUZfs5BazVcSx3uiu52O+tJl158UlAB3dmCaSKRwUrYrHSW9d9MVraoWmDXlTrZvqCcckTz32mCWz25lYwSoLOPzh+gddWE2iXhbuJZ0xgLU2X5jB5VrpJSc6I0GqHWtlRmrWrfVlVLitDLrDhRcynalMuv2c/DUKGaT4K07O1Q/79pNUX3MF44OZOnMLg2MNvMs0zU8i5RQX11EdVnmChKLUVJ8vaP6sX+/FNizZw8zMzOEOt4BROeYdu/eTUVFxbKVrYUQrGmp4PDZcY6en6ClrjCbRlYSB0+NEpGSdc0VNKfw91rI1RvqAXj17Hh8bMAYH0gfYweVZbpiLeCtdaWaKEgsprMhehMbnnQbfkI5YqGq9Ssnoivkx35yH3v37mVmZiajnZRio3Km36hD6YGXT0QHbq9cV5dWcHnw/nuxEGLS5WNwYt6w5VgmRoDKkLAnzOgDo/R8qYfRB0cvEjtVmhfa68uysnoqK7ZTXeYgEIowYvgJ5QRlOPPjn/5LQlgIel38n3/7Grt27Xrd0OZyWBsLUN0jxo4430gp4wFq56aGtJ43OzvDePerAOw/Mczu3bs1WcBcahgpvgxQYxuhBKiOhuylazqbypl0+Tg3OENTTUnWjmNwASEE7/zAJzh0/4t4p6K7qEyDE1xQGuk1AlTeGRifZ2jSTbHDypXr1AcoZQEz/KmvcD4If/EP3+T8k/dqsoC51DB2UMtErW3EucFoqmaNhhJHizE6+XKPlJJv/eD/AuCeiM67LHRaXS6rmioQAoYm3Xh8gYzP02D57Ivtni7rqFJtQKkghODLn/sTAEobNwDaLGAuNYwAtUzU2EZMuXxMz/lx2Mx0NmZxB2V08uUUpZ5wdjC6y/nRt74aV7XONEg57RZaakuJRCSnjTpUXtkfC1BXratL+7lSSu795z0EPTNYnWU4yhs1WcBcahgBapmosY1Q0nvNtSUUO7LnsqkEKKOTLzcIISgvr6CsPqrJduX6htepWmuV5jvZYyhK5ItIRHIwphBy7eamtJ6rLGDuvXcvDaXRebZ3fuCTmixgLjWMALVM1NhGKAGqra4UaxL9rkxpq4+2v45MebJ2DIPX80ef2E0EM1WldsqL7fG6gxZdWmtijRJdg7MZv5bB8ugemWXeG6Sy1B5vXFGLEIKKigp27drFe++8GYDLdtym2QLmUsJoklgmamwjzv9nNxDt4MvquZQ7cdotuH1BXG4/ZcX2rB7PAM7EXFNb6i40pSx14wl7wkw8NIG324tzlZOad9Wk1B1cGxMB7jF2xHnjaFfUwmZNc8WyFpd79uxBSsn+kyNAdDf8gFGDShsjQC0TxTYiURef2WmO22Bks/4E0RtjS20pZwem6Rt1sXnV8lW1DdRxNnZt1yTRZlPT5bkUSkNN7+icRmdrkC6Kx9qmjuplv4YQgg0xe53e0TnCEYnFbASodDBSfBmQzDZCSkn3cDRFs65Ve4mjxbTGVvLdw8aqOxeci+2gFKPBxajt8lyKpuoS7FYzs/N+plzJa50G2eHo+XEAtqxafoACKC+201xTQiAUoWfYSNmmiyYBSgjxViHEaSHEOSHEXy/x+48IIcaFEIdjfz6mxXH1QCLbiNFpDx5/iNIia05mk1rronWobuNLkBPOxHZQW1YvvVtV0+WZCJNJxOuKSiA0yB0ut5/uYRcWs4lta9Pv4FvMxo7oLupYt9H0ki4ZByghhBn4JnA7cBnwPiHEZUs89KdSyitif76b6XH1jjJo2VhVjN2a/UxqW0y3zQhQ2WfW7Wds2oPNaqK1fml9NjVdnsnoaCg8G5VUqiqFghJI2upLKSnKvJ57WXt0F3b4nGFEmS5a3Dl3AOeklOcBhBA/Ae4CTmjw2gWLEiiaa0swm7OfSVVulIYKdvY5G5tPaqkpSWixoabLMxmK8khPgShKLLfepkeU+tPGtipNmho2xupQJ3uMQfp00eLO2Qws9DYeiP1sMXcLIY4IIf5LCJHQelQI8XEhxEEhxMHx8XENTi8/KDcWJfWWbZTjGK3m2UdJ77Un2D3BhS7PpVC6PJPRHgtQA+P6X3BkUm/TI0e7ovcdJbBkyoa26Ov0jc0TChk+X+mgRYBaaomxeBLtUaBDSrkV+C3wg0QvJqW8T0q5XUq5vba2cLvReoZzG6CqyxwU2S14/CFm5g0Xz2xyNlYXUm48S6F0eS4OUgu7PJOh7KAGCyBAZVJv0xtSSk7GDEa3rdXm/lNSZKO1rpRQOELPiJGCTwctUnwDwMIdUQswtPABUsqF1cHvAP+kwXF1TXfsg7imOXsafAsRQtBaV8rp/ml6R1xUrCnc4K53lPGBLSneY6XLc+KhCbzn1c9BAbTFZudGpz34AyHsNv1OhGRab9MLYU+Ycz8c4Orn7bhrbLRWaNfctLqpnP6xOc4NzMQHsQ1So8UO6gCwVgjRKYSwAe8FHln4ACFE44J/3gmc1OC4usXl9jPl8mGzmLKqYr4YpQ7VPVw4hfVCIxKR8VXw+tbUKaBEXZ6pcNot1FcWEY5I3SubZ1pv0wOuAy72rdrH8Ce7eesrZdz9RDmH1h3EdUCb935VbKF6ss/o5EuHjAOUlDIEfAp4gmjg+ZmU8rgQ4u+FEHfGHvZnQojjQojXgD8DPpLpcfWMUn+qrypOWwU5E9pi6cQeYxYqa4xOu/EFwpQV2bKu2KEsbhRFfL2Sab0t3+SihrY6Luis72upNzRpL5NSPi6lXCelXC2l/MfYz74opXwk9ve/kVJuklJeLqW8WUp5Sovj6hUlQLXkqINPoVVpNTfy3FlDubaN1UVZP5bSKNE1pO/rmWm9Ld/kooa2qkkRdDbUQdJBv4ntAkaZGG+pza15YHPseCOT2XHWXY6u3EqjO4fNL0qA6h/Tf6NEJvW2fJOLGlp7Qxlmk2B8xosvEMKh45qinjDepSyQ6xZzBUWxYnxW+6L0SppzyYTe2O50dXN51o+lDOsOjhfGqluptxUauaihWS1m2upL6R520TviYn2SDlCDCxhafFlACVC5uIktpLbcidViYs4TxOsPafa6K23OJROUHdSGtuzXVRS5o2Fjti2r5KqGtqox2ihx2nC+Vo0RoDQmEAwzOD6PELAux+2kJpOgsaoYgMEJ7VbdK2nOJVOUjjpFcTyb1FUUYbOYmPMEmHUbs23ZQqmhhSteP9KpdQ1NWbCe7jMClFqMAKUxfWNzRKSkptxJqQY6XumipPn6NSzGrpQ5l0yZdfuZmvNht5qpr8x+k4TJJOJ1RUMJO7uUXV3G0/9g4oGbp5j6Q+frnAm0YlXMmkWZozNIjRGgNEZZYTdVF+e0g0+hqSa6g+rT0OxuJcy5aIESJBqqinJmPNdSG03znS8g0dhC5cz4LIfXeGn6q5a0ZtbUsjrWyddndPKpxghQGqOIxCot37lG2UFpGaAKfc5FK+LNLznszlQCVN+YcVPLJoFgmL5RF4KoSGw2aKkrxWoxMeHyaVojXskYAUpjLnTw5bbFXEEJUIMT2rWaF/qci1YoDRKrctj8oljKD2VpdMAgSu+oi3BEUlvhpKzEkZVjWMym+OhJv7HgUIXRZq4xShpoVZZt3hOhBKixaW07vwp5zkUrlBbz9W2Zuaymg7KDytZsm0GUrlgKtbm2JKvp27a6MrqHXXQPz+bEabvQMQKUhkQikt5Yai1fH77m6mgNanzWi5RS0y9boc65aIWyg1qbw+7MCzYq+QtQl8KAtqLW0Zll7UxldOD8kFFTVIMRoDRkoU5bbWVxXs6hvMSO027B6w/h8gQoz7Je3KWCPxhmaHIekxA5VQhprCrGbBJMz/nx+IIUOXKn7QiXzoC2soNanWX3gdaYSv15nctX6QWjBqUhSv2poaoIqyV7K8xk1tpCCJpiu6gBI8+tGX2jLqSEukpnVq/tYiwWEw1VxUjIuar5pTSgreygNmhkUpgIRdDZqEGpwwhQGpILnTbFFuDkB0/S84UeTn7gJPs6973OFiA+C2V8CTRD6c5Ugn8uUXZsuRYBvlQGtD2+IEMT85hNIuvp23bF58tQB1GFEaA0RCmiZytAqV3RKgFK7z5ChYTyXnY25la+CqLtydFzyG2AulQGtJXFR31VUdbtcarLo87X876g4XytAiNAaYiyg2qrz06NQu2KNj4LNWYEKK1Qrm0+ml+UTr4hDUcH1HCpDGh3DcYWlrXZF3cWQsTdko0MR2qMAKUhyip7fUt28thqV7TNMTUJozVZO5T6Yj4ClDJTN5zj63mpDGh3xTrqOnM0GqJkWIxOvtQYAUojXDGdNpvFFO/U0Rq1K9r4LNTMykjB5JtwJBJX5uhozL5I7GKaY9dzVOPZtlRcKgPa52MpvtVNubm2Sqt5lyFflZKCazOPRCQmU2500NJBccqsryrCYc/O26qsaJdK8y1c0SoBanLWp/ks1KXI8KQbfzBMRYmNEmdu27wBGhdcz0gkgsmUu3Wl1gPaepypUobrc+XRpKT4ug0B4JQUTICamfcxNu0hFJZYzdDWUI7dqp/T74kVsJtqsjeJrqxoE82lKF/0YoeV8mI7s24/k7M+aipWRq0gX/TGbd7zM9sWvZ42Zt0BRqbcNNXk1ghTqwFtPc5Uef0hRqY8mE0ibsuebdpjO6jBCf07Jecb/dzhk+D1BRiacFNaEr3RSik5OzDDmqZyHFnuulGLUqNoy7KLrtoVbVNNMbNuP31jLiNAZUi8+SVPAsAQXfjMuqfoG3XlPEBpQaoO1J3dO/Oyk1JSt7UVTuw5smFXalCjUx4jw5ECTXIFQoi3CiFOCyHOCSH+eonf24UQP439/mUhRIfa1w6FI5wfdsWDU+z1KCtxxoYnpRb/CxnTm4MZKAVlRdvx+Y6EtgDNWfCFulRRdsfrcmBSmAhl91aoquZ6nanqWWCPkyvKiu2UFdkIhCJMzflydtxCJOMAJYQwA98EbgcuA94nhLhs0cM+CkxLKdcA9wD/pPb1h8bnKC6+WF1YCIHZamV4Uh/bZOWDvibLUilqMVrNtaNH0eDLo7incj2HxguzM1OvM1UX3AdyuytVjCgHxvVx/9IrWuygdgDnpJTnpZQB4CfAXYsecxfwg9jf/wu4VajY10rA7Q9hTlAUtlktzMwHCIUjyz55LQiFIgyMzyGAtboJUIpxYWGuuPVEfPGRQ5HYxSg7qHyKxmaCXmeqlAaJbGvwLUYJUH3GMH1StAhQzUD/gn8PxH625GOklCFgFkjpWRAMhXE4koudOh02xqbz+6UdGJ8jHJFUlTmy5iWTLsqKu1BvaHphes7HrNuPw2ampjx/tbym6vy0mmuFXmeq4vNtOV58NBtqL6rQIkAttRNaXBhS85joA4X4uBDioBDi4MT4BJYUtukWi5lZdyCvtaieBV1eemmBVwLUeAHMQgVDYfyBkG7qiQtRWoEbq4rzWswu9Nk2Pc5ULZxvy/XuWFEH6R01Ws2ToUXbygDQuuDfLcBQgscMCCEsQDkwtdSLSSnvA+4D2Lx1m6o7ltVqYcrlpbq8KM1T1wYlQOXShiEV0RtqdAcQCkdSBvp8IKXk/NA0gZBECBMWk6SzsQKzjs5VubbNeb62SopvyuUlFIpgsejnPVKL3kwvhyfdBEIRyottlJfk1pZG+TzlWr6q0NAiQB0A1gohOoFB4L3A+xc95hHgw8BLwLuBp6SGy2W7zcqky5f3ANWeJQWJ5WCzmqktdzI242V02hNPKegFJTgJs4WS2GBzOBLhzMAU61qq4kEq34OdSoNErmZkEuG0W6gstTM952d4co7W+vyez3LRk+mlcm3zqVBfqCnbXJFxgJJShoQQnwKeAMzA96SUx4UQfw8clFI+AtwP/EgIcY7ozum9mR53MeGIJBAMY7PmfjWmqEznSstLLU01JYzNeOkbdekuQI1NucFkwWq58BE0m0w4HA4Gx+doayjXxWCn0mK+vjU3KgPJaKouYXrOT+9o4QYoPZHPzEddZREWs4lZdwCfP5Q19ZlCR5M8gZTycSnlOinlainlP8Z+9sVYcEJK6ZNSvkdKuUZKuUNKeV6L4y7EYbcxNZv71YiUMv5BX5vHOZmlUOoWejMujEQkk3N+bEsogVjMJtz+EO5pry7M8i5c2/x18Ck0xjoz+0eNwroWKIuPzhxp8C3EbDLFd25DhqhzQgovkZ0Ai8WMy7v0IGA2mXT5mPcGKbJbaKjW1y4l7gulsxvayNQ8Doct4e+Lixyc+/+H8j7Y6fOHGJ50YzYJWuvzr94Qn4WaNNJCWqB00K1tzs9utKlWMRbV1/dTT6yYAAUX0ny5pHeBzftSO4J8ohTWB3U0DBgOR5idDyS1TRdCEOxNvtjIxWCnEtjrKpy6aDJpKkB+tjIAACAASURBVPBZKL0R9/hqTznxkhWU1KLRap6Y/H/rNMRhtzGR4zSfkibId5fXUig3ND0VYqdcXqy21PqJRWuSN7zkYrAzbvNekx+R2MU0xnboYzq6noXKTGy+zW4101iVn+vbHNNUNFTNE6OvJX+GWCxm5r251bbKlUjsclBsGiZ0NDszM+/H4Uw9zFz8tipMNX1EJkIX/S5Xg53xa5uD7kw13YqFPgulJ3oWZD7yNd+m7KD0lOHQGysqQAGEwpJwOJKzWZp4i3mj/rqq6iuKMAnBzLyfYCicNK2WC4KhMMEIqNHaMDlN1PxgNZN/1EV47EKQyuVgZ640+NR2KzZURXeVU3M+AsGQ7lLKhURcJDaPu2Ml6zJspGwTsuI+4VarhVm3n6qy3MjS9MalUvTVwQdgsZioq3QyMuVhdMpDS553eeMzHpxp2KOU7ijH/Px6Kg5E8jLYeUHFPHsBKh0bCofNQnWZg0mXj+GJedrz4O67UuhWOvga8rewVFK2Uy7DWDQRK6oGBeCwW5mdz02ab2GXV6dObxbKl0APnULz3gCWNHdxYZuJyvfUJLUWyQahcCRubZFNhfp0bSguqNTra3Sg0OjVgUJ9iTNqRGnYbiRmxQUoAH8wN+rmvWMXzM6KHPowTlyMksLIt6y/PxgiLNNfITrzNN82POkmGIpQWWqn2Jm4JT5T0rWhuKBSn/8FRzLmPH5Gp+Zz3lWrFr3MtykLyGFD8mhJVmSAQpjw+bM/E9WbR6kUtVzYQeV3xT0z58OuontvMRaLmbk8zLddEInNrnxWujYUiqq5XmehIhFJ78gsQ5Me3AHJucEZRib0tdvzB8MMTc5jEvmXsLqwgNTXe6QXVmSAstutOdkydytSKTrs4FNQZqHyHaDmvcFlN2kEIzLnnl+KT1C2r226NhSNOrdRGZpwEZKCIqcdq8VMaYmTWW+IGR2lsKJO3NHMR74bh5QFpDELtTQrMkBZzCbcOVh1nx+aAWCVzjT4FqLs7vI5OyOlJJBB2tVmtTLtym1rda4cktO1odDD9UyExxtgzntxd2GR087QpFs36b6F9jj5RrmehvP10qy4Lj6FYFhmvTOmazC6yt7Qln8h0UQ06sAXyu0NIDJo+7fbLMy6fdRW5u6GkssaRTo2FHr2+eofn6O4aOkhguIiB8MTc7roPIzbvNfmP/MRNxY19PiWpKAD1KEzo5zojpoarm2t5Kr1DfHfmcwm3N4AJUXZ8XnxB8P0j81hErBWxwFKD7NQU3M+nPbMGg2CoewvOBQWCgCvy1GXl1obivrKIoSIvqf+QAi7TR9f4dl5H8JkTnh9TCbBnDecN8eBhSjp2zU6GA1RBIBHp/W34NAD+vh0p4k/GOb7jx3lif3dr/v5m3d08Mdv24rNasZhtzIz78tagOoZniUiJfWVRZRl6RhaoIdZKF8ghNOZWZejyPKCYyHjI27WHDFT7ykn8vgc4d9z5M1UbzE2a9R6fnzGy+D4HKua86+yDjAx68XpSH5tipx2hifnac/j7BFc0OBbr4OFZUNltAln0uUjEpEIgTEPtYCCq0FFIpKv/OglntjfjcVs4s7r13Dn9WuwWkz8en8PX/r+i4QjErPJhNefvZx312C0/tRapz8NvsXkcxYqHI4Q0uAyOO02ZnIw3+Y64OLklld5/9NV3PpyCac+eIp9nftwHdBPjUDx9sp344tCIBjGH0rtP2o2mfD4QzlveFlIJCLjLfq52h0nYs+ePfzt3/wllaV2QuEIky4vu3fvZs+ePXk9Lz1RcAHqVy+f58i5ccqKbXzlEzfykTu28JE7tvDl/3kjFaV2jnVP8PBzZwAIRaJpoWzQNaSYFOpP4mgx+ZyFmvelP5y7FCaTwBvI7o1NUXWQk6+PqLn2oEqFUtzvG9VHgBqbnseZxD5lITablck8zLUpDE+58QfDlBfbKM1j5kNKyczMDHv37iXongTgr77wZfbu3cvMzEzW7luFRkEFqJHJeX70q+MAfOKd21i9oMNqdXMFn777KgB+8tuT9I7MYjKbmPf4s3Iuyg5qdZ7nKNSQahYq7Akz+sAoPV/qYfTBUU1vxK55/7Lmn5YiGIoQzuLqO11Vh3yhFNYHdVJYn/eGVNuR2KwWXO5Als8oMUr9qSHL822pEEJwzz33sGvXLvrORe9pD//qGXbt2sU999xjpPliFFSAuv8XR/AHw7xxaws7NzVd9Ptt6+p5y45OQmHJvz/0KnarlZn5LAWoWIv5hvb857FToay4lxoGdB1wsW/VPk5+8CQ9X+jh5AdOaprS8gcjmEzafNmsNgtz7uxcT0hf1SFfNOnIdsPjDSBM6e2QQ3nwbVPIp837YpQgFZgbB8BeVm8Ep0UUTIDqHXHxyulRbFYzf/z2rQkf96HbN1NWbONs/zRHusbxBbT/Isx7AoxMebCYxet2cXol7gs19fobWiqh0kx3UlJKgiHtdjz2mBBwtkhX1SFfKJ1feghQU3NeHGkIAAM4HHbGZ/Kz+1MUQvKtIAHR78fu3bvxLwhQu3fvNtJ7CyiYAPXI82cBuPWqdspLEueOnXYLd16/FoD/fPoUwVCESETbC96lyOBUF+PQKH2VDZTUnf0HLq4452R64vU7gGyntHz+EMKk3UdMCIFfw4C3mJp31WCpU6/qkC+UHfHYTP4DlMcfSnuHbDGbmPflXr4KLliorG/Lj4uughKc9u7dy+23vgGAjrVb2Lt3rxGkFlAQAWpi1suzh/sxCXjH9WtSPv72nZ2UOK2c6p3i9OAMbq+2q+6uAaWDT78KEgtTd5NfHeIDT1fxye9WMvXSTPwx2U5pzc77NJ/TCUXIWheY2WnG9s1m5pyv3znm0oNKDQ2VxdHZtjk//sDFho65IhAMs9xLEZECfzD3566k+Na35jc1L4SgoqKCXbt28Xd/sxuAoop6du3aRUVFhZHmi5HR3UMIUQX8FOgAeoDfl1JOL/G4MHA09s8+KeWd6Rznly91EY5IrtvSTIMKe2an3crbr1vDT548yeMvdXP1ulpKi9XY5KnjdP8UAGua858mWIpEqbtSr5njdx3jut5rMTvNWU9puf0hbPb0O6UiMe29pQY6rRYzriz6ffXWBPjX947w7kgTd6/pzLkHlRoWzrYNjs+zKk9p5mmXF/syB7AdNivTs14aanI3lzcds3l32MzU57lJAqJt5lJK/LF63KTLx8Pf/BcsZv181vJNpjuovwaelFKuBZ6M/XspvFLKK2J/0gpO4Yjkd4f7AXjbdatVP+/2a1dhtZh47dwYfaPatlef7I0GqI06GPRbimSpu/B4KJ66S1eoNF1CaabjvP4QP3/2DJ/42hO8//97lD33P89zr/W/7jH2LDdKdA/NErKA7R3lOfegSoe4yGgebTfmvIFlK5NYLOacp/m6F3Tw6WWHIoTAYbNQVeYgHJFMurL32c6EQDBM1+A0Z/qn6B6azmo37UIyDVB3AT+I/f0HwDszfL2LOH5+nCmXj/rKorQ070qLbFy3uRkp4bev9GlWhwqGwpyLtZhvWV2ryWtqjdrUXbpCpekQDIUJp/GW+wMhvvjd5/jhr44zMeslEpEc6Rrnnp8e5OfPnok/Ltt1qPOx+bZ8D3GmIj7blqdhXSklARXDuckIhqTm9eFkxG3edSASuxjlnIYn8uvbthTRe940VpsNp9MBZitnBqZzkl7ONEDVSymHAWL/rUvwOIcQ4qAQYp8QImkQE0J8PPbYg9NTE/Hd0w1XtKa96nnzjg4Ann1tAJdbGxWC88OzBEMR6iqc1FbkP02wFOmk7hSh0o0PbKTjHzrY+MBGdnbvpOzqzOprbk8Ai1VdBllKyb/99yG6Bmeoqyzibz98LT/4/B18+PbNAPzwV8f59QJZq1BEZm0Fd344Nj6g9wAV20EN5umG5vEFMGcgAAxgyfJueDFKg0RHnqWWlkKZbevXmS+UlJKuwRmKi5zx+6/FbKK4yEHf6GzWj5/yDiKE+C3QsMSv/jaN47RJKYeEEKuAp4QQR6WUXUs9UEp5H3AfwKYtV8h9x4eAaIBKlw3t1bTWldI/NscT+3v5g1s3pP0aizkVS+91NpZrNt+jNUrqbqk0n69UXpS6UytUmg4ubwC7ygD16AvneOHoIE67hc996Fra6qPB8a43rsVmNfOdR17jO4+8xmUd1bTUlWGxRG9sFRrXoabnfEzP+XFYzbTW67cBBhaKjOank296zoc9zfbyxditFqbnfZSXalcfTkb3SPSGul6Hi4+4OojOfKEmZjxYrJaL7nVCCBBmplzerNWDQcUOSkp5m5Ry8xJ/HgZGhRCNsRNuBMYSvMZQ7L/ngWeAbWpOzuMP4vWHWNNSSXMa0viBYIi5eS/zHh+3XNUGwK8P9qp+fjJO9cUaJHSghJyIRKm7OWeYX77Pl5OaSjCkbkB3zhPgZ0+dBmDXe66KByeF23eu4rbt7YQjku89dhQpJQ6bhVmP9moESnqvsboYk4bt8dkg38O6/mAEc4bvkRACfwY+YekgpYybAm5or9ZdG3eTTpyvFyKlZMKV2Anb4bAxMuXOaj0q02/hI8CHY3//MPDw4gcIISqFEPbY32uANwAn1Ly42xvNcb7x8hbVJzTn9lJsFWxsr2JtcwU3bmnCbBIcOz9J70jmW1JlB7WhTX+rsIUsTt3Vf6uTL793hFMluRmQVDug+/BzZ/H4gmxdU8uOyy5WBwH4wJs3UeSwcvjsGAdPjSCEyIoSgVJbbKvPv09QKi7MQuVe3SJTA8qFRCDr7eZ79uzhzz7zvxiedGM2CVrrS3Unyqqk+IYm9VODGp9xY0sx52m325jI4jxepgHqq8CbhBBngTfF/o0QYrsQ4ruxx2wEDgohXgOeBr4qpVQVoLz+6Af3mssaVZ2M2+OjpbqYhppShBBYLWa2rKnjynV1RKTk0ReWzCqqJhSOcDY2A7V1lT6GNpOhpO46Pt/Bmo+1ELEKpmO+UNnEHwwhVdQLp+d8/OLF6DX5wJsuS/i48hJ7PD37g18ei7ahR7QvsJ/pj05I6Hl3rFBXWYTZJJid9+Pz53aeyOsPajaAbbNamM2iSr0iyvq9Bx4CoK7CyV/8+f/SnSirkrLVkxHllMt/kTvyYmxWC9NZrCNm9CmTUk5KKW+VUq6N/Xcq9vODUsqPxf7+opRyi5Ty8th/71f7+hEpaW8oo06Fk2ogGKLYbqas5OJ89rtvXAfAM4cHM/pA9gzP4g+GqSl3UF+Vfy2vdLBazNRWOJHyYskjrXF7g1gtqetPj75wjkAwzI7LGlmbYnDy9p2rqK0oYmhinoOnRzCbzcxpPICtBKiNBaCvaDGbqKssQrK0xmI2mZn3Z1x/UrBZLfFMSTZQ9O7e+d4/AuDUkf3s3btXd6Ksynzn9Jw/r3YkCm6vX7XGohAm5rIkyq3vRDtw9UZ1u6dAIEhLAmWH67c2U+yw0jvq4tUzo8s+l2PdUVn8zsaKjDuY8oHSmtyX5dmZeU8gpWtqMBTh6Vf6AHjXDetSvqbFbOJt160C4BfPn8NuszKroRBwKBSJCwBv6dTn+MBilLpFX459vrx+9erlasi2cKwQgutvi45f+maiTVd6Ck4A9pgRZTgiGdeBhNXErE+1xqLTYWM8S7VQ3d9l1QQofyBIXYUz4QfOZjVz2/Zos8QjL55f9i7q1bPRHpBNnfpfYS+FkufO9g0tEIqk/PIfPDXMrNtPW32Z6pmjW7d34LRbONY9Qe/IrGZ1EICekej4QE25g8qy3HSVZUpjnmahtBQABpBCZHWmRkrJw088B4B3Kjq2oke9O2UBOTSRXxsVKWVaGotCCHyhSFZ2froOUGaTYHVT6npAKBhK2er4jtjq+8VjQ4xOLe8D8OqZaIAqhPrTUihOrNk2ulNzA/ttrKvytu3tqleyxQ4rt25vB6LpwWA4otlNRknvtdeX6WplnQxluHMwhzc0tfXFdLDZrFlzS1ZEWQfGo+/RU4//lF27dulSlFVRB8l1ynYxLo8fU5o7ZLvNypRL+12UrgNUkcOaMooHQ2Eqim0pbypbV9fSWFXM9Jyf546mX4sanpxneMpNkd3ClkINULFW/WyuuP3BECLFNRub9nD47CgWs4kbt6U33/a2a6NyVy8eG8IXDOPxadNufnogGqBW61RfcSmUG9pyZ6GWY1Q57wmoqi9edKxwhJHJeYaX6FKzWsy4fdnZQQkhKCuvoKiqGYA1zZVxo0C9ibI2VecmBZ+KaZcPZ5oai9kyotRWalpjSotS50D9vgDtKlJEQgjuuLaT+x87xkvHR7hhSzP11eobHZTd07q2Sso0FJ7NJc0xk7bhLDZJuL1BLCluYM8e7kdK2LmpKW3b7fqqYjZ31nCse4JDZ8apK3dQ7Mzcuvtsv6IgUTjpWyUlNLaM6+k64LpIUFiRuEqmIhKtL6pvkJBS8tMnT/HQs2fiO+vrtjTzR3dsobr8QtYjm3Woj/7JZ/nlFx6lqsyO0x79bOqtBgUL1CTyPAvlC4QptqYvAhwMRxVetKzP63oHpUaJwG41qX5D3nZtNM23/8QwQ1PutNqUD8XqT5e1V+lWQSIVSoovm0VYNQ0SLx0fBOD6NObbFnLTldF64rOH++OjCJkgpYyn+LasLpzdcXxYN83rmYlRpZr6Yvw44QjfeuhVfvZU1JetutyJzWrmxaODfGbvkwwsrIWK7NlvdCsD2AucEPQWnODCbNvwZP5qUD5/EJY5QmC1WjU3FNV1gEqF1x+gOg2Zjda6Uja0VeIPhjncNcnIlPqhuEOxHdSWzsK5gS2musyB3RpNp8xlQYkBUt/ARqbcdA/N4rBZuGJNIunG5Fy7uQm71cyJnkmGJtwZ1xHGZrzMuv0UOyy69vhaTE2FMzoL5Q6kFaiXa1QppSSUhgLwj397kt8e7MVmMfG5D+3kO3/1Vu79zG1sXVOL2xfkaw/ujzdHWK0WXBp2ZS7kbGwAe1WjvtO3yg4qn07JU3OJlSNSYbdZmJ7TtpZY0AEqHAxTlsRddymUZolnDvUx6w6o6jyZmPHSPzaH3Wpm65rCaEFeCiFEPM3Xn6VOvlTvp6KteNX6+pQ7rUQ47VZ2boqqTrxwbBivPzPbhpM90fGBtvqyghofsJhN1FdGBYvTqSsu16gynQHdvlEXDz93FiHgbz98Hds3RLtx6yqL+KsP7KS5poT+sTnue+Q1IDYPlSX7jXOx+uLGjvy66KYiagMC0/P+tK1qtMLtDWY0QhAIate4BAUcoKKabKa0t+pvu251fPU94QowpKJj5oVj0ZTU+tZKKpYYBC4kstnJFwiGU3Z47Yu9l9dubs7oWDdui6b5Xjg2lPGq7UjXOEBadi56oak2/dGB5RpVuub9qhySpZR855HXCEckb7q64yJbGqfdwp+/fwc2q5mnD/Vxsie6Y8uWLl/cHkfnzU3RYfqi6DB9HmahokahmQUXk8XEvIZDuwUboHz+4LJUdIsdVt6wJbr6fvpQL/O+UDTvmoRf7+8B4OoNy1/16wVlB5UN1WSPN4A5iRvoxKyXM/3T2Cwmtq1LXz3d5w/i9viJRCRbVtdSVeZgdMrN4bPjmZw2R7qiN8gtq/S9wl4KpQ6Vzg5quUaV3kAYiwqDwpeODXG8e4KyIhsfePOmJR/T3lDOO9+4FoAHf3MSKSXhiNRchsvnD9E/NofZJFilYmQl38RHB/LQaj7n9WPO8P7msNmYnjMCFOFQmLLi5XVv3fmGWJrv1X5sNmvSuYNZt59XzoxhMol4WqmQaYm1mvdloVNoLoXFxsGTwwBcsa4+3k2lhmAojNfjpbrURntdCYSD+PwBboxZsDxzeGDZaYVgKMzJ3miKb/t6bS1HckFjfBZKfT11uUaVQZWDmA8/fxaAP7htI6VFibvB3vGG1ZQ4rRzvnuBo1zg2m1Xz2mjX8CxSRtNnhbC4VK7nwFjuRWNn5vw4lll/UjCZBD4Nm10KNkDZrOmn9xR2bGykvb6MOU+AF44OIjExPr1058xTh/oIRySbOqppqtGnQWE6KCm+bBjdBVJYbByKyUxt37CUvdjShMIRwsEga1qqqCpz4nRYaW+soKHSyY6N0YDy8skRZpeZ5jvdN00gFKGhqoiGNMYO9IKy4h6dTk9kNF2jSrXpnzP9U5ztn6bEaeWWWLdlIoqdNu6K76JOYLWYNDcwVOpPrXX6V6iHhcaFuZ+FCgTDmnQ3hiKpa9FqKcgAFQiGVM1IJcJqMXP7NR0A/Pczp7HarIzP+vAuMfT5+EtRJ9er1tdTWZo9Y65coaT4smF0l6ywGwiGORqr9Wxbq36n4vf5Wd1ceVHgqyhxcNXaOjqbyvH6QzyxTL+vI+ej6b21LZW6bD1ORWONcj3Tb01eqHZf//76pD5hHl9AlbrAYzHHgNuu7lBVr7rj2ugu6kz/NOcGZ/Br3ByguA+sbdZ/eg8W+EJlWe1lMYpDgBbYrFbNFOoLM0AFglSUZBYsbt/RTn1lEcOTbl44MkBJsYPukbnXBalzA1McPT+BySS4ZmM9VhX5d72jpBAmXT5NtbNC4QhhEt/gT/RM4g+GaW8oe92AZjI83kDMPHDp160sc3LLtugs1W8O9qV/0hAPmps7C6/+BBdW3Nm2aZj3BFK2H0+5vLx4bBCTgLdes0rV6zrtFm7b3gHAEy93E4oNe2pFV6xBYrPOGyQUFH3FXM9Cub3+pPXjdLDbLLg02gkXZIAymcg4n1xbVczbYy3n//X0aSKSaJAanad7cJqz/VN87/EThCOSK9fV01BV+Ok9AIfNQm2Fk0hEMrJMTcKlcPsCWCyJP06vnhkB4EqVzRFSSkyEKU/RNfn7N6/HbBIc6RpflqKysoPavoymDT1QU+7AYjbhcgfwZKlNG2INEil2UM+82k84ItlxWRN1leq/L2/e0QHA80cG8AbDzHu1qUNJKeM7qMsKZH4xvuCYza0v1Kzbv+z5p6XQqiOz4AKUlBKHCoWJVFgtZm64vInaiiIGxud4+LkzCCEoLXZgttmY8YR46lAfQsDdN66jagWk9xRaYmm+Hg0chhXm3MnNzZT605Xr1dWf3F4/zTWp6wZVZU52XtaAlPDIC+cAVDdMDE/OMzbtwWm3sEHnMzKJMJtM8cVTfxY13NQ0SDx/ZACAm9LUV2yoLmHbunqCoQgvHRvSTI1gYjY6gF3ksMTnxfROfUURJiGYmfNn3YZkIb5A8vpxuki0UagvuADl8wepKM1cew2idYyPvm0LAA/++gTHY6tpKeGHvzpOOCK5aVsbLTVFFDnT16bSK2310UK4IgGjBYGQxJxgiHNs2s3g+DxFdgvrVc4aWUyoes/37NnD5JlnAfjlyz1x9Wo1dt4vHYt2FW5orSyIDq9ENMZ9obJTt4hEoi3gyRgYc9EzPEuRw7qsEYK3XNMJREc6fAFtbswneqYAaKsrKZj6osVioq7SiSQ7deKlkFIuy0LlwMlhvvbgy3zroVd57MUu/AsCqt2ujUJ9wQWocChMqQbioAB1lcVsbK/k925cR0TCPz2wjx//5gR//x8vsO/4EFaLiT+4ZQNOW+HevJZC6Wjq0XAWKtkH/LVzMZmo1bWqptR9gaAqCSvFzvuBb/0jFkL0js7x8V2fU23n/dzR6NDwjo3quwr1SLaNKH2B1AoSzx+Jvpc7NzUuq1Z71foGqsocDE+6OdU7pYkawYnY+MDaFnV+Y3pBSfMNZaHTdil8/hAiDfUItzfA/35wP1/50T5eOjbEbw70cP8vjrDn/ufjtSetFOoLLkBZLSbNtqIWswmnzcR7b93AFWvrmPcG+c+nT3Oka5yyYht/8f5rKHaY08qnFwLKDqpXowAVDkeSrrCPnIs2ImxVqb0XDoaoLE2t2KHYef/Zp/+UoeNPAfDrV4ZV2Xn7AiEOnIzWxW6+Mr2UlN5QZtsGx7NzQ5tzJ59vk1LG03vXb13ee2k2CW64PPrcF44P4dagDnUi5oB95drlaT7mC2VHnC05ssW43H5VwtwQvdb3/tcrvHhsEIfNzPvffBkffftWaiqcnO6b4m++/bu407UWKUpd220sJhKR2KzaxtT6ymL6xt18/sPXcbx7gqcP9SKE4A/fupmKEjs+nw+nY+Wk9wDa6qM3NK06hbz+IOYEDRKRiOTo+ViAWp1axzASkTjtFtUpGSVI3VfTQd2mN1O99o3841f+MOXzXzk9ij8YpqW2pCAUBpLRErdRyU7nlzcQwpLEfqFneJahiXnKi+0ZyQnduK2Nnz93lpePjzA27aYkTSuWhUgpORHTWLxKZd1TLyizbbmy3fD4Q1hs6u5xT7zczYGTIxQ5rPzzn9wU3+1du7mJf/j+i/SOuPjeY0fY/QdXgzDh8wdVW8cvRUHtoPyBIOVpisOmoshpwywkJpNgy+pa/uw92/n0u6+iosSO1+enrmJl7Z4guuIWIlpE1kKUMplHUN+oC5c7QFWZI/5hTobX50+roK3UnLxTfcyPnMFsc/DHf/61lCmiF45GRWu3r6srmPpEIpQdVLZ8vgIpPiP7Ywoh12xqzEhst72hjM6mcty+IC+dGFn26wAMjM/j8gQoK7LRUF2c+gk6YilfqOWYS6pFbf1pcHyO7z9+FIBPvvOK132fq8qc/NUHd2KzmnnutQFeOT2C3WZhJkOdzIwClBDiPUKI40KIiBBie5LHvVUIcVoIcU4I8dfLPV44rF39aSGNNcXMu1/f1imlJBKOpGxzLkTsVjMNVcVEJAxMZL5KS9aCrOyetqyuVRUIhJCqV1xKcNq7dy+7du3iX//2IwCcmLDzmc8ktvOWUvJCrP50cwq1g0JA2UGNT3s0tzCXUhJOoSBx8FQ0mCiK5WoJhSPMu734fX48Hi/+QJCbYiLAv8tAvgqI7546G0sLbgGizCqOTEYXHK4DLvat2sfJD56k5ws9nPzASfZ17sN1IPMUYDgcIaTyff7ZU6cIhCLcuK2V8E3sEwAAIABJREFUN2y92MutoaqY9962EYD/8/PDhCISd4Z+bZnuoI4Bvwc8m+gBQggz8E3gduAy4H1CiMuWczCLWbv600JKnHaqSux4/Rfy3vNuHx0NheMNlC5Ko0T3cOadfMlWYMogrOr0ngr1AQUhBBUVFfGa061XtlFZasdR3kjA2XDRjUm54R06M8bQpJuyIhs7NqZ3U9UjJUU2yottBEIRTWfbIFpAJ8l3bsrlpWtwBpvVfJFqeTICwRDhYIB1LZWsaalkfVs1pXYzV62txWQSHOmaYDADuZ/jsfpTQSrUK07JM56MzCXV4PYFsKgY0B2enOeFIwOYTYL33Zb49v2O61bT2VjOxKyXJw/2Zmy/kVGAklKelFKeTvGwHcA5KeV5KWUA+Alw1zKOhT3JIGim1FeX4DALPB4fLpeb9vrSjHKnekepQ2Xaap5MIiUcjnC8O6YUvjp1odrrC1Bdlt6Odc+ePfGGCJvVzN03rgNgrnjr674Ye/bsYffu6K7qgd+cBMDp7+dLX/r7tI6nV5Q0n1aNLwpz3uTzba+cjs63bV1di11lq34kIpHhEGtaql6XEqyvLmFdSwVbV9cQjkh+EZMZWw7HYxYehVZ/AqitKIobUQ7/59iyzCXV4nL7salYFD70uzNEJNy4rTVp05jZbOI9t2wAoqLBYcio4SUXNahmoH/BvwdiP1sSIcTHhRAHhRAHp6cuvPm+LNSfFtPWUM76tio2raqleAXNPS2F0sl3PsMA5fEFEjZInBucxusP0VRTQo0KeSMpIxQvI4W7cKf0gds2UFZs43T/9OsGd2dmZti7dy+f2PXXPH90EEGEX//wS6ra0QuBljrth68BvL5Q0gB18FS0/pSOALDH46O9YWl328oyJ2+6Kprme+rQhdtGOtcoFIpwui8qEntFgXXwQcyIMmZPP3Ei+YIjlflkKvzBSML5RYXJWS/PvNqHScDvxRaAydixsZHmmhImZrwcOj3GVAZ1qJQBSgjxWyHEsSX+qN0FLZUfSPhpk1LeJ6XcLqXcXll1oSMoFApTssKDRi5pi6X4+jP0nZlL0iBxNO6zlDr1I6XUZN6spMjG/3h7dPj6/l8cx+MLxjv9du3axa9eGUVKmOo5xJ/8jw+lbEcvFJoVGxWNRUYDSepP/mA4PkKgdqfiDwSpKrMnnZU6+rufYiZM97CLc4PTaQ1fQ3T+yR8MU1/pVDWuoEeUTr7ZiuQNDKnMJ1Ohpknq6Vf7CIWjElZNKtRdTCbBO2OB7OfPncWTgeN1ygAlpbxNSrl5iT8PqzzGALBwOKIFGEr3RC0mUVB23HpH2UGNZNhqnqxB4kjXhQHdVPgCQSo1aki5+8a1NFYXMzzl5gv3vxC3EXjPR/+Cmo03AzB06KEVE5zgQqPEkMYio8luYCdjAsCdjeWqBYBDwRD1VYm7OaWUzM1OM3LqOQAefu5cvBFG7W53f2y+bVOBylfBhUaJ4a1yWeaSagiGwqQKT1JKnjkUFWK+bXu76te+4fJWqsoc9I/NcbxnetlGlLm44x8A1gohOoUQNuC9wCPpvogti/WnS5HG6mLMJsHUnD9aCF8miW5g/mCY031TCAFbVqf+EoWDYUqXaUC5GKvFzN995FpsFhPPvjbIn//777j/F0f47DeexGSyMH7qGbyTvfGa1Eog3mo+oV2A8gdCkCSAKwuQy1Wm0QLBEJUp0vTKbveWy6NyST967AB7771X1fC1woFYV+H1WwvXYDTeaj7rXpa5pBrcngBmS/L605n+aYYm5qkotXO5ykF7iAoq3HpVNKA999rgstvNM20zf5cQYgC4FnhMCPFE7OdNQojHAaSUIeBTwBPASeBnUsrj6RzHHwgldeY0SB+L2ZRxJ1+yFtVTvZMEQxE6GsspVTFwaTELTTs0r1pfzxc/dA1Wi4mXjg/z7UeOEsFMlXmGc099m127drF3794VE6RaYwFKS/22eW8Aa5L6U1whREUDDERtcmpUzBUKIfju3r/H5xrF6iynrGmz6uDk9Yc40jWBAN54eeEqhCwc1k3XXFItLm8AR4oGCWX3dOMVrWlnsG7d3o4Q0Tm5ocnlqZxkpCQhpXwIeGiJnw8Bdyz49+PA48s9TjAUoqRo5Q3M5ptVTeX0jLg40z/NxmWkQzxJWlSV9nI19adwJEKRQ3tRk7fsXIXVauLpw4McPXYCQm7+4x8/jsVi5p577gGgoqJiRaT5qssdOGxm3L4gcx6/qkVBKtzeYMIGCZfbT/fwDFaLSdVnJxKRFNktqm5yUko++9nPMnm2j+ar7qZmw83s3r1bVZA6fG6MUDhCe30pFQU8w3jBiDK64FDMJbUkGIpgsyd+PwPB8AKFevXpPYW6ymIuX1PH4bNjPPPqIJs61WlxLqQgpI6ElKq1ogzUs7qpgqcO9XOqf5K7WJP28+e8wYQtqunMP/n9IeprszPtf8tVHWzqrEHetZXyEntctkpJJa2E4ATR/5/mmhK6hmbpHp5VvatJRiAUwW5Z+v05dn4CKWFDW7Wq9nKPz88qFXOFC4ev/+en/5JXfFC9ajvf+PePA6S8Zkr9aeuqwq0/wYUU30QWjSijASrx7490jeH2BelsLKc9jZnQSETi8fowm83celU7h8+O8eyRAe6+cTUtdUt3byaiIAo7hWyFoGdWNUU/LF2Dy0vxef2hJVtU3d4AXYPTmE2CjR2p608yEsbpyN7MWX1VCQ01pRdpKq6U4KSgpGwzHR1QUKNQv3WNuuFcs5CqLOAXDl9/a+9XuXxNLRITd3/s86p2u4oA8I1XFG56DxYYUXoCGdWIExEMhRO3Usd4+Xh0hGDnJvW1PK8vQCQUYFVTOfWVDjZ3VFJaZKNvdI5j3emr1Os+QIXCkRVnd6EXFJHU5YpSJrqBHe+eICJhXWsVTnvqm5KxANGGtgZtZtsA/MHkChJHutQr1IfCEYrTWIAsHL5++7VR12tRdzlf/OIXkz5vYGyO0/3TWC0mrknjpqpHFhpRDmbBdiNVg0Q4IjkQ01jccZm69zIYClFkE3Q2VWK3WigvdrC+rYodsRm5fSdGmE6zWUL3ASoQCFJWbDRIZIO2ulIsZhMTs7607cL9wcQdXsrNS017eTAUpsRppG+1oD02OqCFCrbbG0xYXxyZcjM65abYYVWlBO/zB1Q1RyxE2Sm9dUcHpUU2zg/N8syr/Umf89i+qPLE9nV1KYv/hUDcdiMLPl8ub3ILldO9k7g8ARqqiuOqM8mQUhL0B2mufX0q0Goxc8fOaP3qxWNDjKY5BqH7ABUJRyhaYXYXesFiMdEe+/B1Dc6k9VzXvD9hh9fRNAJUIBBckYK8+UDRjsx0+BqiCvWJUnJHF8y3mVV0XprF8mvIDruFd9+0FoCfPX2GcALr+UhE8thL5wF45xvTr6fqkWwaUQZDyS3eX16gUK8mFe72+OloKl/ysW+8vJX6yiKm53yc6J9myqW+rqb7AGWxmFZcrUBPrG6OroBP90+n9Ty3b+kOr+k5H/1jc9itZta1qhDqNBpgNEMpZI9MZq5qHghFEn7vXou1l6uZi0k3vbcUv3/zeixmE4fOjrH/xNIz/ofOjDI86aay1F7w9SeF5tjwdY/G6iCQvL4opWT/8ej7rCa9F4lIHFaR8HsshOCWbVH1833HhxlLQ3Vf9wEqmwKxBhcaJU73TaX1vEQeQcruaWNHNVYV186oP6VHMl+g8mI7FSV2/MEwYxnOQ4WS7FTiHZoqGiT8/iA15ZmNiNSUO3nz9jakhAeePMP0EivwR1+M7p5uurx5xSjOKLNtgxpY4iwkVYPE4Pg8o9MeyopsqhaZHp+fhqrkXbh3xna1+44PE5QwOavu86nrKymlpMwY0M0qSg0hncJ6OBxJqGCeTnt5MBSmWEUThUEUNb5ASh3qXJop24UEgmFkgt1T9/Asc54AtRVFKW9KAEJGVHXvpeIT77wcu9XMyyeGeXxfD77AhZrpiZ5JntjfgwDedcPajI+lF1o1dr5W8PiCSRsk4goha+pUpXAtJlK6jq9prmRNczm+QIgj5yYYn/Wp2kXpPkAVGwEqq6yO7aDSqVvMewNYlhD7lFKm1SARCISyrlC/UlDrC9TRGA1QXUPLD1Aeb+IBbOXmtXWNOgNKu0YduI3VJfzhm6NmeD/89QmOdk3imvcRCIbZ8x8vEY5I3ryjnQ3thT3/tBBFvmp8xks4krnztcKcx580rR5XCFGxQ/Z41Ttg37Qtmnp99nA/NpuVMRXeZboOUEBS1WODzGmuLcFuNTM952fapa4FdGbOh8N2cV1heHKe8RkPJU4rHY2pu7uQkRXtuaUlEw9NqPIFUnZQPRm0mruSNEgoN6/LVQwC+/xByjTSVwT4yB2bWNVUzpTLxxf/40UefPI0f3rPk3QPz9JQVczH7ti0ourVxQ4rVWUOQmGZsajzQvzBxA0S4XCEY+fVjxDISISyYnVNTm+/thOzSXD43Bie/9feuUdHVd57//PMJTOTyZUkBEhArqJCQkTkJlVK1VZrtWitoHIU9bVqrcEufduzLEu0nnWseooo7zqn1mPraRWwVU492lOBpXhBERDCRW5CCBAgV8h97vt5/5gLgcxlTybJDMPzWYtlZu89ez/bmdm/5/ldvj+nl5MdrohJL0FS2kDpWV4qEsNoMIS6jm77pk7Xe5wBdfCzqfomPteAij/pJ1bfn+D+oEp9TQKZX5ESJNweH3sCjQAn6nLhesntQwNlMZt44s6pjB6WS1OLg/98fxdVBxoxGQ38nxsmMGKIjknROUawLU6ijUW7Ey1B4sCxFrpcXoYW2CmKURoQlK/SS0lRDuVjCtE0yWc7arFYMjjRHN1zk9oGKk2CnanOxSP9BqrqQOzunC6PFy1si6/TBqriwtiaYV6fRqYqwNZNrL4/wf3BTL7jvVQ1l1JGfIDtO3ISt1fjgiE55OlwzZqNhj7/DZeNKWLxP01j/tUXM3FUIT+ecxHPPXQVMyYM61Ox4VShNKgO0ktB57OJlSBxWiFE3wq5IDe+EpGrJvmz+T7adgSzyUibw+uvqYxASluAeIUFFb3jkoDY534dqeanWh1h3Xse72nXgJ70Y5dL1T/FQ+HcQl19gUoLs/xtVNqcvZLIcbm9iBj9vfQ8vHyahi2j73+/QghGDs3humkX8Ku7Z/CDmaO4oMhOUX7/aDkmm+GhRpR9UwsVM0EiYKAm6VghS+mLuwP2dy4bQZbNzKHjrRw8doqsTGvUQmRlARQhA3XgWAtahOy8IB1OT9gEiX1HmnG6fQwfnK2vvbumYVUZfLox2oy6+gKZTAZKi7KRQE1d/A+1ti5XRAXz0/Enfenl/dXNNstmYfzwQdjNgpJCOyMitI9PB4KZfLWNfSN3FC1BwuHysv/oSQwitgs3XvdekMK8TGaW+Wur1m6uQQiBTwoQIqwtUgZKwfCibLJsZlo73Rw6ETn7S9MkHm94AxaPew/8Dc3SKaA9EOjtCzQ2UHy993Bz3NfocnrDJibFKwCsaf2rAGMwCIYUZvdJW5FUJriCOqEj400P0RIk9tQ04fVJxpTkk2WL/tk5nG4KcuKfgJiMBr4zOZjNV+sXnDYaEYRRnUYZKAX+H/vFgfTcrfsbIh7X0uHEFCG7a9v+egAqdLh/NE1i7Qf3z/lAsC/QyF+NpPj24rAdVceW+g3UnjiLryFyAfaugADw+BH6BIDNRjUB6QuCMajGU46Y3g09ROqADbA9jgJspBa3ey/I2JI8LhoxCKfbG+o3FQn1lFAAcEkgUWLv4cgPteYI8afGli4OnWjFmmHkklGxZ9cut6dPs7sUZzIuYKC+qY1Pvsrn0/D6wj8E4+me69M0bJaBSYCJpqyRDmTZzAzKtuLxaRxPUFHC4/Xhi5DgBKfjT3o+44wEFH4GZVu5qsKfLPHehgNRDa8KAiiA03Go6ro2Wtud5J4VP3A43UR4doVk+SvGFetqXufzxR9cVehnbGk+AIfrTj/QpJQxVzSdzvAF2HA6QaJMp7xRUWH/d8Bu29zWo3g5GJNLtB16KlE6OIuT7U6qj7dQOrj399Xl9GCO8PtsaXdyuK6NDLOR8SOiyxu53F7yEyiwt9symHrREN7++BuONrSzKfD8CIdaQSkAmBBY+Rw81sKJkz0DsnUnO7FZw38pN+0O9o0ZqutaJoNIy5TgVOGVl1/AiI+2LjfNbY5Ql9olS5ZEfV9LhwtLmBVyc6uDY40dWDNMjAsYv2j0d/wJ9CtrpAPDA0apt41Fg7R2usiIkMG3M5CBe8nIgpj1iW6PN6EMXCEEWTYTt8weD8A7H++PeKwyUAoAivMzKS3K8mfy1LbicLpD+zxeHw53+OBqh8PN14eaMBgEl40fEvM6UkpVoNuPSClpbW2hpe4A4K9dCrZQb2lpiap/FimAHpSvmji6UFfpx0DEn/Qqa6QDowLyVYd6kZXZnWgtNk67cGOvkE0GmXAJUH62lZllQynMtUXtX5bQVYQQtwohvhZCaEKIKVGOqxFC7BRCVAkhtiRyTUX/MX2CfwW07+gpDte34XR5cHm8fFPbgj0z/Izpq331+DTJJSMLyNahm+hye8lV+or9hhCCpUuXhlY6N9/xAMuWLaOysjLUpTYcPp8WsUB3R7f+T7HwadqAJMDoVdZIB0YG0ugTbUQZ6fOVUuou0PUnOCUeGcrNsiI0yc1XXRj1uES/SbuAm4FPdBz7bSllhZQyoiFTJJcZgTbZ2w80kplpo7qunYPHWsmyWyPOvIL9eabpbgvtI0slSPQrQgju+vH3AbAXjQKIapwgIAAcZmUrpYwrQcLl9pA3AAXYepU10oFgS5xEWr9H64B9ormDplYHOZkZIWMYCafbnVD8KYjBIDCbBN+ZcgF3Xzcx4nEJmUIp5R5gQNNJPR4PtbW1OJ3x9bZXxKbALPnNP/n9wi11NZgyLNjzBkf8fDscbrbsrUMImKY3/iSUQkh/I6Xk72//F3AxtkH+mpNHH300qpFq6XCFzdA81tjOqXYneVkWXa2/Na+GPUYNTV8QVNYI5+brrqyRDgwrtJNhMoQEnfN7UX/U0eXGFCH+FGxAWTamKGZs2P/59s0EM9duodXh47vTRkU8ZqCy+CSwRgghgd9JKV+JdKAQ4n7gfoARI0b02F9bW0t2djYjR45UdRb9QOaJVhwuL8WDMvE42jnZ0kB2QfjV0afba/F4NcrHFlEYQ1gySIZZGaf+JJgQ8frvXmHy3b8nu6CEnz2yiGXLXgQir6RcHh82U08D1f3hpef3NlAdsIPKGpGy+MLVh52rGA0GRhTncOBYC/uPnmTaBH3eiu50dLmxZISfOOyIQ3/PbDL0WYJTfo6NprZTmM2ROxrENFBCiHVAuOj3E1LKv+kcyxVSyuNCiMHAWiHEXillWLdgwHi9AjBlypQeEV2n06mMUz9it5pxuLw4XT4K8wfR2Bg52PzR1iMAzJl8ga5zu9xe8lT8qV8RQpCXl8fPHrqfI1lZHG3o4CeLnsAgJHl5eWF/N94oDSjj0d+TUmIZwAlIUFmjaXUTjmoHttE2CucWppVxCjJqaK7fQNWe6pWBcns1rGHsgE+T7Kz2/8YnxSgh0DTZpxNMk9GA1WwgWr5lTAMlpbw60YFIKY8H/tsghFgNTEVf3Cosyjj1H1k2M02tDjqdbgrzbBBB+/hIfRsHak+RaTXr/sF4vF5y7Okp6plKLFmyBCklS/7wBUcbOvhqb31U997Jtq6w6eVujy/UIVmPALDT7aE4TnXrRAkqa6Q7wUy+3ugrSikjFmBXHztFl9PDkEF2BscQ3HW5PQzJ79vPtzjfzoETSRSLFULYhRDZwb+Ba/EnVyhSEJvFRIbZiNcn6XSET+MFWLelBoBZ5SW6inMBDCrFfMAQQlA+xh+H2fpNfdRJXWuHO6xA7NeHmnC6fYwamqtLANjr9cXUcFP0jlFD/ckLtQ3xJ0p0Od0YIsR945E38n++fZvglGnLwBClAUiiaeZzhRC1wAzgfSHEB4Htw4QQfw8cVgx8JoTYDmwC3pdS/iOR6yYbIQQLFiwIvfZ6vRQVFXHDDTckcVR9gxCCnIAbrrXTFfaYk20O1nx5CIBrLo8c4DybSFXsiv4hWNOy98ipiPVPbo8PT4TZ9Za9/gaWl10Uu74N/AXYqodb/zAyaKAa26PWsoWjpcOFJULn6njkjfoy/tSdoQX2iCYq0Sy+1cDqMNuPA9cH/q4GJiVynVTDbreza9cuHA4HNpuNtWvXUlJSkuxh9RnZmWZOtjtxuLz4wsQm/vLhPtxejekThjGmRF8XU4/Xh92qlLUGktHDcsm0mmhuc3K4rpWRQ3t+Vk2tXdjCqD5IKflqn99ATdFpoCwJ6LMpojNicDYGg6Cx1UFrh4u8OFqZON0+MsII/LrcXvYePokQUDYmetajpvVffLEgNxOkL2zzsnP6iXH5/W/0y3k3v3JHzGOuu+463n//fX70ox+xYsUK5s+fz6effgpAZ2cnP/vZz9i5cyder5clS5Zw0003UVNTw4IFC+js9EvnL1++nJkzZ7J+/XqWLFlCYWEhu3bt4rLLLuPPf/5z0mJtZpORLJuZtk43XU4PBd32nWjuYN2WGgwCbr/mYt3ndLs9lAxKH320cwGjwcDEUYVs2lPHl7vrwhqoDocbm62n++5oQzsNp7rIsWcwtiS2vJHL7WVQH9THKMKTYTZSWpjFkYZ29hxuZsZEfRNiKSVuj0ZGmI9md00zXp/GmJK8mG1LXJ6Bjy+CkjrqNfPmzWPlypU4nU527NjBtGnTQvv+5V/+hTlz5rB582Y++ugjHn/8cTo7Oxk8eDBr165l69atrFq1ikceeST0nm3btvHiiy+ye/duqqur2bBhQzJuCwBDwM0nhH/2FYw3tXa4eP7NTfg0ybcnXxCXcKWQEksfVKAr4iPo5vu6phmP98x8qZZ2J4jwbteQe2/8EF1uHY/Ho0tJRNF7Rge8FXo6XwdxuDyI8K2WTmdo6lAISVZ88Zx+YuhZ6fQX5eXl1NTUsGLFCq6//voz9q1Zs4Z3332XF154AfCnxh85coRhw4bx8MMPU1VVhdFoZP/+0yKJU6dOpbTUL0FfUVFBTU0Ns2bNGrgb6oa/yttIUV4mJ47CK3+r4pujp9hT00xtYzvDCrO449pL4jqnSo5IDsFEiYPHWzla38bowGrI59M43txBdlb4+rUvv/YrhOh17xmECNvoUNF3XDQin/XbjnLguH7R2OjxJ/0ZmsmKL57TBirZ3HjjjTz22GOsX7+e5ubT3UullLz99tuMHz/+jOOXLFlCcXEx27dvR9M0rNbTS2aL5fQS22g04vWGdckOGEJATmYGNosJr0+ydnMNAKVF2Tx136y4fOBuj5dsm/qqJYOJowoRAg4eb6HN4eNkmwO7zczxhnZstvCfYV1zB9/UnsKaYWKyDgFgSKw/kEIfFwXaYNTUteH1aboUWRwuLxmWnu671g4Xh060kmEycNEFBWHeeSbJ+nzVUyMB7rnnHnJzcykrK2P9+vWh7d/97nd5+eWXefnllxFCsG3bNi699FJaW1spLS3FYDDw+uuv4/OlbksAgxBI/HVRi++eSf3JTiT+tPJ422y7PV5yC1X8KRlkZ2YwYWQBuw41s+/oKawWI7Q4MJmMWCI84D7d7u9yOu2SobpKCDxeH1lqAtLvjB/uN1CH69poa3cyKIZ6S7T4U7C9xkU62mu43F7y7clx36ppTwKUlpZSWVnZY/vixYvxeDyUl5czceJEFi9eDMBDDz3E66+/zvTp09m/fz/2FC5aNRpFKJ310guL+d700Vw3fXTcxgn89U+WMHU2ioFh9qV+Pb5Ne05gt1mwZ1rDFuaC/6EWNFDfmlSq6/xut5dc+8AH0M83CvNsDMq24HB5OXC8JebxHV2uyPVPcaSXe7zeXv3u+wL11OgFHR09i+Vmz57N7NmzAbDZbPzud7/rccy4cePYsWNH6PW//uu/9ngv+LP7ko1BCOIst4iIJUPFJpLJ7EuHs/ydKr7aWxfTNVRT10ZtYzvZmRm65I0AkJpKgBkgxo8YxBdfn2B/bQtTY3QQONnuilhCUPWN30DpiT+JJBbYqxWUIixCiEjq/HHhcnvJUe01ksoFxTmUFGbR6fSwp6Y56rHrt/n1FWeWlehWnTer+NOAcfFIf7yo+ngrWgT9xCAOlzdsqcqR+naaWx3kZVlCChXRSGaCk/pmKSLSFwbK7fGQqwxU0pk+wZ/s8GWgf1c4Op0e1gWSYb5zmT4BYK9Pwx6mCFTRP4wf7s/CPFzfzqn2yE0ZOx0uEOEf79v2+0sILr2wOGYJgdenkZlED4gyUIqIGA2GhN18Sv4mNZgTiEN9set4j3qoIGs2HcLh8jJxdCFjS2MX5wK4XB5yB6BBocLP6Uy+Vk62RTZQza3OsO49gK376wG/gYqFy+UhJ4kF2OrJoYiI0SCIpGauB5+mKXmjFOHSccWUFmVxqt3Jui2He+z3eH28t+EgAHOvjN6GuztS07CqFdSAMbTAHlJ5qTvlwOsL38a9y+0NuzpyuDzsPdyMQeiLP0mpYYtQRzUQKAOliIjff917P5/T5aEgJ31ab5/LmM1GbrlyHABvr9/XYxX1jy8PcardyQVDcqgYpzM5An8DStX+ZuAQQnDxBcFVVDsn27p6HNPc2oUxQvfcnQcb8fok44YP0qX8YTIm9/NNewPl6/JR/0Y9Nc/UUP9mPT5H6tYepSIGQcRZWiz8s+vkzb4UZzJjwlAuGJLDyTZnqPAa4EDtKf70j68BmHf1xbofSF6fhk2tngacKYHi6b1HTtLa4T5jn5SShhYH1ghlBF/t0+/ek1ImXQA4rQ1U2+Y2No7eyJ4791CzuIY9d+xh46iNtG2Ov+kXQHNzMxUVFVRUVDBkyBBKSkpCr91ud+wTBHjttdeoq6vr1RjOZvXq1Tz//PNRj6lmbZsaAAAWTUlEQVSurmblypW9Or/BIHC59N9bECklNpVenlLYrSZume1XN/nD+zv5343V7DzYyL+t2ITXp/G9aaOYFiN1uTsul4d8FX8acKZe7DdQX1c3gdHI8ab20L6Gk51kRDBOPp8WSpKZdsnQmNdxur1JT3BK2+mPz+Fj5w924qk/s+mep97Dzh/sZPqh6XG3hi4oKKCqqgrwyxZlZWXx2GOPxT221157jcmTJzNkiD4ZmWjMnTs35jFBAzVv3ry4zy+EQPQiDuVwuhlWEL3SXTGwZNszqBhbyE3fGsvfPj3A79/dHto3piSPhd8vi+t8Kv6UHC4aMQhrhpFjTR10OX1oPo2GU504XV663D7smeEnDbtrmmnrdDO0wM6I4tjKLl6vD3uSBYDTdgXVtLqph3EK4qn30LS6qU+v9/rrrzN16lQqKip46KGH0DQNr9fLggULKCsrY+LEibz00kusWrWKqqoqbrvttrArr1mzZrFo0SJmzJhBWVkZW7Zs8d9PUxM33ngj5eXlzJw5k127/E2JX331VRYtWgTAnXfeSWVlJTNnzmT06NGsXu1v1fXLX/6Sjz76iIqKCl566SV27tzJ5ZdfTkVFBeXl5VRXV0e9N2uGKe4maVLTklZ9rgiPzZIBUnLXdWVU/ngK1gwTJYVZ3HzVhfzqrplxi72aTULFn5KAyWQIZfPtPtREps1CS5cHaTBFNE4AX+w6BsCMiSW6PjeTQHctXH+RttMfR3XkFEw9++Nh165drF69ms8//xyTycT999/PypUrGTNmDE1NTezcuROAlpYW8vLyePnll1m+fDkVFRVhz+dyufjiiy/48MMPue+++6iqqmLx4sVMmzaNd999lzVr1nD33XeHjFd3Ghoa2LBhAzt37uTHP/4xc+fO5dlnn2X58uX893//NwAPPvggjz32GLfddhsulyum8cnPtlB3KnLa6tlomiRTzaxTDoNBBDIz4aqK4XyrvLTXHVK9Xh9ZVhVfTBYVY4uoOtDIrkONzJpU6p98REHTJBsD7r0ZE/W5cTP6qUFhPCR/BP2EbXT07LFY++Nh3bp1bN68mSlTplBRUcHHH3/MwYMHGTt2LPv27aOyspIPPviA3NzYVdsA8+fPB2DOnDk0NDTQ0dHBZ599Fmozf+2113L8+PFQ48Pu/PCHP0QIQXl5OceOHQt7/pkzZ/LMM8/w3HPPcfTo0TNU1cORnWmJS9jW4XJTmKuy91IRi9kYmpAk0r7b5faSrzI0k8b0QAzp62p9nqB9R5ppaXcxOD+T0cNid8F2e7xkpkCJSNoaqMK5hZiLw8/wzMVmCudGb3EcD1JK7rnnHqqqqqiqqmLfvn0sXryYgoICduzYwaxZs3jppZf4yU9+out8Zy+/hRA9VjmRVj3d23ZEOmbBggWsXr0ai8XCNddcwyeffBJzPNk2k/5sPqmRmYTmZorY5GZm4HT3QSsXpb+XVMrGFIXiUPUne05Uz+bjqqMATJ8wTJd7z+PxpYQAcNoaKKPNSNn/lPUwUuZiM2X/UxZ3gkQ0rr76at566y2amvyzmebmZo4cOUJjYyNSSm699Vaeeuoptm7dCkB2djbt7e0Rz7dq1SoA1q9fT3FxMXa7nSuvvJI33vC3uF+3bh2lpaW61dDPvl51dTVjx46lsrKS73//+2cI2EZicH4WDmfsbD63x8ugbBV7SlWy7JY+6TVmSQH3z/lMhtnI5Av99WpB9flIdDk9fBIwUHolrFJlApL8EfQjOZfnMP3QdJpWN+GodmAbbaNwbmGfGieAsrIynnzySa6++mo0TcNsNvMf//EfGI1G7r33XqSUCCH4zW9+A8DChQu57777sNlsbNq0iYyMM1cbOTk5zJw5k/b2dv7whz8A8PTTT7Nw4ULKy8vJysoKbdfDpZdeis/nY9KkSdx77720tbWxYsUKzGYzw4YN45lnnol5jgyzET2akW63h6Ihg3SPTTGwmIwGTAm49sDv3huk0suTzlWTSvl81wk+rjrCLbMvjLgy+rjqKE63jwmjChmuI3sPUkcAWMSbnXXGm4V4HvgB4AYOAgullD0alQghvgcsA4zAq1LKZ/Wcf8qUKfLsRIA9e/Zw8cUX93rMqc6sWbOiJlAMNN3/f7d2OKlvcWCzhl8huT1e7GbBkMLsgRyiIk4On2hBmMy9zsBr73RwYWl+0jO8zneO1bfyT8+uoa3TzfM/nc2Ykp76iVJKHn3pQ47Ut/HzeZczqzx2jy+fppFhkAwbwN+xEOIrKeWUs7cn+g1bC0yUUpYD+4F/DnNhI/D/gOuAS4D5QohLEryuIgnkZlkxICPK/LtcbgYPyhrgUSniJdduwZVAHMpkSH76sQJys61Mn+DPyAvGmM5m96FmjtS3kZdl0V2E7XR5yE1SB92zSehbJqVcI6UMftM3AuHM81TggJSyWkrpBlYCNyVy3XTms88+S5nVUzhGFOfS1eXssb2jy0lpYVZCmWGKgSHLbsHTyziU16eRpRJgUoJMawYzAtl8n2w7SqfzzLpPnyZ57e/++PK1U0fpdttJTSNTZ0lJf9OX06B7gP8Ns70E6G7eawPbwiKEuF8IsUUIsaWxsbEPh6foCzLMRoryrHR0OkJZgl1OF/mZZnJUXOKcIJE4lNPlpkCVEKQEBoNgXEku40cMoq3LzZ8DeopBPviymkPHWynMtfHDgFCwHsxJFojtTkwDJYRYJ4TYFebfTd2OeQLwAm+EO0WYbREDX1LKV6SUU6SUU4qKivTcg2KAKcyzM7I4G5fLhdvloijHquJO5xhZNnOvRICNQmIxp3Vu1TlFhtnIAz+8FJNR8MGmQ3x9yJ9JfOhEK2+u2Q3AvT8ox6ozI0/TJNaM1HHfxhy1lPLqaPuFEHcBNwDfkeEzLmqB4d1elwKR23oqzgls1gzGlapsvXOVglwb1SfayIoijXM2Pk1TCiEpRqbVxLBCOzdfNZ63PtzLr/+wgfKxg6n6ph6vTzLloiFMvTi2MGwQp9vNsPzUWSEnZCoD2Xm/AG6UUvZsTOJnMzBOCDFKCJEBzAPeTeS6CoUiMSxmEwYRXwavw+GmKE9f7Z1iYMi1W3B7vNwy+0KmXTIUt1djy946vD7Jd6eN4ufzLo/LXad5Ney21KljTHQ6tBywAGsD/xM2SikfEEIMw59Ofr2U0iuEeBj4AH+a+WtSyq8jn7JvCdYgRXrdG4xGI2VlZXg8HkwmE3fddReLFi3CYIhs72tqavj888+5/fbbE7q2QtFX2C0mvJqGMcr3tjsGIVOieFNxGqvFjPRpmG1GfnHndOpOdvL5zlrGlOTr6ph7NmaTIaUSnRL6tkkpx0bYfhy4vtvrvwN/T+RavWHJkiW0tLSwdOnSkFzQo48+Sl5eHkuWLOn1eW02W6jtRkNDA7fffjutra089dRTEd9TU1PDm2++qQyUImUozM2kpr4Duw7VebfHS15W6sysFafpLuo6ZJDf3dcbfJqWUvEnSGOpIyklLS0tLFu2jEcffTRknJYtW0ZLS0vc7SMiMXjwYF555RWWL1+OlJKamhq+9a1vMXnyZCZPnsznn38O+FtefPrpp1RUVLB06dKIxykUA4XVYtbt5vO4Pcq9l6JYzIaItYnx4HR5yEuxTNy0Xa8LIVi6dCkAy5YtY9myZQBUVlaGVlR9xejRo9E0jYaGBgYPHszatWuxWq188803zJ8/ny1btvDss8/ywgsv8N577wHQ1dUV9jiFYiApzLXR3OGO2CIcTrdPSSXXj+I0uXYLJ+JohxMJqWnYU6zGLW0NFJw2UkHjBPS5cQoSXJF5PB4efvhhqqqqMBqN7N+/P+zxeo9TKPqT/GwrDS1dEMVAdTqcjBmmr1WMYuCx2yz4mmIrmsfCbEy9BpRp6+IDQm697gTdfX1JdXU1RqORwYMHs3TpUoqLi9m+fTtbtmzp0TE3iN7jFIr+RAhBfiATLBxen4bdYlK1TymMwSASFgD2eH1kp9jqCdLYQHWPOVVWVqJpGpWVlWfEpPqCxsZGHnjgAR5++GGEELS2tjJ06FAMBgN/+tOfQo3+zm55Eek4hWKgKcq343G7w/4mHA4npUWqCDvVsWQYE4pDudwe8nJSK/4EaeziE0KQl5d3RswpGJPKy8tLaCnrcDioqKgIpZkvWLCAn//85wA89NBD3HLLLfzlL3/h29/+dqhnU3l5OSaTiUmTJnH33XdHPE6hGGgMBsGoYXkcPNZKdtbpIs2OLifDCrIwKmHYlGdQtpVjzV1k9rKGyZCiCiEJtdvob/qi3UZ/1EGdT6R7exPFado6nJw41YlP8+uTDSuwk5tiWV2K8Egp2Xv4JFlZ8atASCnB52XEkOTFGSO120g9k9nHhGufrlAoepKTZSUny4rb48NkTK2CTUV0hBBn1EPFg8PlZmgKyRt1R63dFQrFGWSYjco4nYPkZGZETHaJhubVyNZRrJ0MlIFSKBSKNCAv24rL5Yl9YDeklNgsxpT1LCkDpVAoFGmA2WTEZIzvPQ5navf3UgZKoVAo0oTcKDVt4ZBa6rr3QBkohUKhSBsKczNxu/W5+XyaRqY1tfPkUnt0Ojja0IrTHX9n0EhYMwwMHxw93bKuro5FixaxefNmLBYLI0eO5MUXX+TCCy+M61qffvopDzzwAGazmffff5/Kykr++te/9jhu9uzZvPDCC0yZ0iMLU6FQKEIYjQYsJoOuchqH083oITkDNLLecc4bKKdbw2rtuyWq0+mKul9Kydy5c7nrrrtYuXIlAFVVVdTX18dtoN544w0ee+wxFi5cCBDWOCkUCkU8FOTZqDvlIDPKc1FKiclAyvf3Ui6+OPnoo48wm8088MADoW0VFRXMmjWLxx9/nIkTJ1JWVsaqVasAWL9+PbNnz+ZHP/oRF110EXfccQdSSl599VXeeustnn76ae644w5qamqYOHEi4FeqmDdvHuXl5dx22204HI7QtdasWcOMGTOYPHkyt956Kx0dHQCMHDmSJ598ksmTJ1NWVsbevXsB6OjoYOHChZSVlVFeXs7bb78d9TwKheLcJifTguaL7lXqcrgoKcgaoBH1HmWg4mTXrl1cdtllPba/8847VFVVsX37dtatW8fjjz/OiRMnANi2bRsvvvgiu3fvprq6mg0bNnDfffdx44038vzzz/PGG2+cca5///d/JzMzkx07dvDEE0/w1VdfAdDU1MQzzzzDunXr2Lp1K1OmTOG3v/1t6H2FhYVs3bqVBx98kBdeeAGAX//61+Tm5rJz50527NjBnDlzYp5HoVCcuwghGFZgp8sRXoBaSonJKMhMQXHYs0nt9d05xGeffcb8+fMxGo0UFxdz1VVXsXnzZnJycpg6dSqlpaWAf7VVU1PDrFmzIp7rk08+4ZFHHgH8Gn7l5eUAbNy4kd27d3PFFVcA4Ha7mTFjRuh9N998MwCXXXYZ77zzDgDr1q0LuSIB8vPzee+996KeR6FQnNvkZllpbHWgabJH0XVHp5ORxeeGALAyUHEyYcKEsLGiaJqGFstpX7DRaMTrjZ0GGi7AKaXkmmuuYcWKFVGv0/0a4YKlsc6jUCjOfYYPzuZAbQvZWbbQM6DT4aI433ZOrJ5AufjiZs6cObhcLn7/+9+Htm3evJn8/HxWrVqFz+ejsbGRTz75hKlTp/bqGldeeWXI7bdr1y527NgBwPTp09mwYQMHDhwA/F15YzU6vPbaa1m+fHno9alTp3p1HoVCcW5hMZsYW5pHV5eTzi4nHR0O8jPNFORmJntoukloBSWEeB74AeAGDgILpZQtYY6rAdoBH+ANp1rbW6wZhpiZd/GeLxpCCFavXs2iRYt49tlnsVqtoTTzjo4OJk2ahBCC5557jiFDhoSSFeLhwQcfZOHChZSXl1NRUREydEVFRfzxj39k/vz5uFz+e37mmWeiZg/+6le/4qc//SkTJ07EaDTy5JNPcvPNN8d9HoVCce5hMZsYP2IQbq8vJdtpxCKhdhtCiGuBD6WUXiHEbwCklL8Ic1wNMEVK2RTP+fui3YYiMdT/b4VC0d9EareRkItPSrlGShkMqGwEShM5n0KhUCgUQfoyBnUP8L8R9klgjRDiKyHE/X14TYVCoVCkKTGdkkKIdcCQMLuekFL+LXDME4AXeCPMcQBXSCmPCyEGA2uFEHullJ9EuN79wP0AI0aMCHsy1RV3YEjlbssKhSL9iWmgpJRXR9svhLgLuAH4jozwRJNSHg/8t0EIsRqYCoQ1UFLKV4BXwB+DOnu/1WqlubmZgoICZaT6ESklzc3NWK2q5bdCoUgOiWbxfQ/4BXCVlLIrwjF2wCClbA/8fS3wdG+vWVpaSm1tLY2Njb09hUInVqs1VGCsUCgUA02ieYfLAQt+tx3ARinlA0KIYcCrUsrrgWJgdWC/CXhTSvmP3l7QbDYzatSoBIetUCgUilQnIQMlpRwbYftx4PrA39XApESuo1AoFIrzD6UkoVAoFIqURBkohUKhUKQkCSlJ9DdCiEbgcLLHEYVCIC51jHOU8+E+z4d7BHWf6UQ63eMFUsqiszemtIFKdYQQW/pSVzBVOR/u83y4R1D3mU6cD/eoXHwKhUKhSEmUgVIoFApFSqIMVGK8kuwBDBDnw32eD/cI6j7TibS/RxWDUigUCkVKolZQCoVCoUhJlIFSKBQKRUqiDFQvEUJ8TwixTwhxQAjxy2SPpz8QQrwmhGgQQuxK9lj6CyHEcCHER0KIPUKIr4UQlckeU38ghLAKITYJIbYH7vOpZI+pvxBCGIUQ24QQ7yV7LP2FEKJGCLFTCFElhNgS+x3nJioG1QuEEEZgP3ANUAtsBuZLKXcndWB9jBDiSqAD+C8p5cRkj6c/EEIMBYZKKbcKIbKBr4AfpuFnKQC7lLJDCGEGPgMqpZQbkzy0PkcI8XNgCpAjpbwh2ePpD4QQNcAUKWW6FOqGRa2gesdU4ICUslpK6QZWAjcleUx9TqCp5Mlkj6M/kVKekFJuDfzdDuwBSpI7qr5H+ukIvDQH/qXd7FQIUQp8H3g12WNRJI4yUL2jBDja7XUtafhQO98QQowELgW+TO5I+oeA66sKaADWSinT8T5fBP4voCV7IP2MBNYIIb4KdCFPS5SB6h3hWvmm3Wz0fEIIkQW8DSySUrYlezz9gZTSJ6WsAEqBqUKItHLbCiFuABqklF8leywDwBVSysnAdcBPA+74tEMZqN5RCwzv9roUOJ6ksSgSJBCTeRt4Q0r5TrLH099IKVuA9cD3kjyUvuYK4MZAfGYlMEcI8efkDql/CPTcQ0rZAKzGH3ZIO5SB6h2bgXFCiFFCiAxgHvBuksek6AWB5IH/BPZIKX+b7PH0F0KIIiFEXuBvG3A1sDe5o+pbpJT/LKUslVKOxP+b/FBKeWeSh9XnCCHsgYQehBB24FogLTNtlYHqBVJKL/Aw8AH+oPpbUsqvkzuqvkcIsQL4AhgvhKgVQtyb7DH1A1cAC/DPtqsC/65P9qD6gaHAR0KIHfgnWGullGmbhp3mFAOfCSG2A5uA96WU/0jymPoFlWauUCgUipREraAUCoVCkZIoA6VQKBSKlEQZKIVCoVCkJMpAKRQKhSIlUQZKoVAoFCmJMlAKhUKhSEmUgVIoFApFSvL/AddwdOrsExoGAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m = GPy.models.GPRegression(train_X2, train_Y2, k_combined_1)\n", "m.optimize()\n", "m.plot()\n", "ax = plt.gca()\n", "ax.plot(test_X2, test_Y2, \"mo\", mew=2, label='Test points')\n", "\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Name : GP regression\n", "Objective : 4.136252889408651\n", "Number of Parameters : 6\n", "Number of Optimization Parameters : 6\n", "Updates : True\n", "Parameters:\n", " \u001b[1mGP_regression. \u001b[0;0m | value | constraints | priors\n", " \u001b[1mmul.std_periodic.variance \u001b[0;0m | 1.7461089633948401 | +ve | \n", " \u001b[1mmul.std_periodic.period \u001b[0;0m | 2.041745856285753 | +ve | \n", " \u001b[1mmul.std_periodic.lengthscale\u001b[0;0m | 0.6637866448282967 | +ve | \n", " \u001b[1mmul.rbf.variance \u001b[0;0m | 1.7461089633948303 | +ve | \n", " \u001b[1mmul.rbf.lengthscale \u001b[0;0m | 24.98629931665634 | +ve | \n", " \u001b[1mGaussian_noise.variance \u001b[0;0m | 4.955970365230769e-16 | +ve | \n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOy9eXhkZ3Xn/33vUqtUKkmlfZd63226221jwGYzOIBjIAOYzAQSfmZISJoOmQmZJNAJZJmZTDpNIEMgMBAwa4LBgInBG17b7n1Vq1stqbWXVCpVlWq/y/v749aV1GqVarv31i31/TxPP+6WSnWvVVXved9zvud7CKUUFhYWFhYWZoMp9w1YWFhYWFishhWgLCwsLCxMiRWgLCwsLCxMiRWgLCwsLCxMiRWgLCwsLCxMCVfuG1gLn89Hu7u7y30bFhYWFhY6cvLkyQCltGHl100doLq7u3HixIly34aFhYWFhY4QQq6v9nUrxWdhYWFhYUo0CVCEkK8RQmYIIReyfP8eQkiYEHIm8+fTWlzXwsLCwmL9olWK7+sAvgDgX9d4zPOU0ndodD0LCwsLi3WOJicoSulzAIJaPJeFhYWFhQVgbA3qTkLIWULIzwkh27M9iBDyMCHkBCHkxOzsrIG3Z2FhYWFhJowKUKcAdFFKdwP4RwA/yvZASumXKaV7KaV7GxpuUh1aWFhYWNwiGCIzp5RGlv39cULIPxFCfJTSgBHXNwNSXELg0QASwwk4e53wPegD62TLfVsWFhYWpsWQAEUIaQbgp5RSQsh+KCe3OSOubQYixyM4/87zEPzC4tf4Jh47f7ITnn2eMt6ZhYWFhXnRJEARQr4D4B4APkLIOIDPAOABgFL6JQDvBfAxQogIIAHg/fQWGUQlJaSbghMACH4B5995HgeGD1gnKQsLC4tV0CRAUUo/kOP7X4AiQ7/lCDwauCk4qQh+AYFHA2h6qMngu7KwsLAwP5aThM4khhIFfX/lwfIWOWhaWFhY3IQVoHTG2evM+/uHDx/GoUOHFoMSpRSHDh3C4cOH9bxFCwsLC1NiBSid8T3oA9/Er/o9vomH70EfACUYhUIhfP4fv4iPHvwTCKKEQ4cO4ejRowiFQtZJysLC4pbD1G7m6wHWyWLnT3ZmVfEtF0i84zcP4URiJ04nHdj7oS9h7qofv/vxT+DIkb8HIaQct29hYWFRNqwAZQCefR4cGD6g9EENrd4H9a1f9OPz/34agAOymILN5UXL7nfAu6sLo/4IOps8VpCysLC4pbAClEGwTjarWm9wIoR/+tFZAECHfRaPffMz8LRuQ++9H8Mvjl/Ha7Y0gyFAR1ONkbdsYWFhUVasGlSZEUUZn/nqixAlGY22MH761cP4+Ec/jLnBl9DOTwMA/u5bL2ImlEQkmizz3VpYWFgYhxWgysxjL13DlfEQGrwubPBE8LsPfwhHjhwBIQT/9oVPws3EIVAOL1+axkQgaoklLCwsbhmsAFVGKKX47lOXAQDvvWcjPvunn1gMTgDAsSwOffAeAMAvXh0Gy3EIRtbuq7KwsLBYL1gBqoycujKD4akIvFV23LWjBR634yYhxNvu6EFdtQNTczFcGQ9hLmKl+SwsLG4NrABVRr739AAA4N7bO9DRULXqY+w2Dm/Z1wkAeOKVYcggiCVSht2jhYWFRbmwAlSZmJmP41dnx8EyBG+6vR1upz3rY9/z+g1gCMGr/VNIizL8wbiBd2phYWFRHqwAVSaePDkKWabYu6UZXY1rj9zobvFiR089ZJnizNUZpEQZsmxOsYQUl+B/xI+Rz43A/20/pIRU7luysLCoUKw+qDLx7OlRAMDtGxvhq3Wv+VhCCG7b1IhzQwGcGvDjwPYWLMRSqKl2GHGreWPNvcrO+OwCzl8LYO+WJjR4XeW+HQuLisAKUGUgtJDE2cFZsCzB3i2N4NjcB9m7d7bgG/9xCWcHZ8CzLOajSVMFKGvu1erMzMfxl19/Ga/0Kz1tDhuL/3TPJnz0gV2w8dbHz8JiLawUXxl4/vwEZAps7/ahvaE6r5/Z1t2AploXogkBgxMhJNPmSp3lM/fqVkMQJXzqn5/HK/3T4DkGfW1eJNMS/vUX/fj7750s9+1ZWJgeK0CVgWdPjwEAbt/YgBp3dnHEcmw8i90bFOfzU1f8AMMgkVw9IJSDQude3Qp84dEzOD8UQJ3HgX/4+Bvwdx+7G5947x4AwI9fHMKxixNlvkMLC3NjBSiDSaZEvHJJSffs29oENo/0nsq+Lc0AgNNX/HDYecxFzKPmK2Tu1a3Amasz+PYvL4NlCD7+4G7s3dKC9sYafPCt2/GWvZ0QJRlffPQcYnGrZcDCIhtWgDKYU1dnkBIk9LZ60Zlnek9l/9Zm8ByDaxMhxJMCEmlZp7ssnHznXt0qfOOJSwCA+w/04C37usAwSw3Yf/zB/fC4bLg8GsRPXx4u1y1aWJgeTQIUIeRrhJAZQsiFLN8nhJDPE0IGCSHnCCG3a3HdSuTkgB8AsLWrFnU1ham56muc6G1RHM2vjM1DNJHcXJ17tTJIrTb3ar0zPBXGC+cmwHMMHnrzZjhsN/5Oatx2fODNmwEAT50aRUoQy3GbFhamR6sT1NcBvG2N778dwMbMn4cB/F+NrltxnBhQ0nvbe+pg4wtbtO08h742LwBgYDQIhmMQT6Y1v8diUedebX1kK7o/242tj2zFgeEDt5zE/JFf9gMA7t7Zir622lUf8+7XbwLLEJy9FsCl4VtPQGJhkQ+aBChK6XMAgms85AEA/0oVjgHwEkJatLh2JRFNCLg8Og+WIdjV01DUc2zpVBa8K2NB2G08wjFz1TDUuVfdf9aNpoeabqmTEwAEI0k8fmwYBMD7792UdchknceB/VubIcsUz5wehySZJ11rYWEWjKpBtQEYW/bv8czXbinODs5Alil6W2vQXL92c242tvfUAQCujs0DIKaTm9/qPH1qFIIoY3tPHXZvXH1ApcqDr9sAAHj+3KTlUm9hsQpGBajVtpGrFk8IIQ8TQk4QQk7Mzs7qfFvGotafNnfWocppK+o5uppr4KtxIpESMT4TgSBaO28z8dRJxSHknj0dORWar9vVDo/LhvHZBZwZnDHi9iw0YOVMNmtGm34YFaDGAXQs+3c7gMnVHkgp/TKldC+ldG9DQ3FpMLNy/LISoLZ31xUkL19OlcOGvjZVKBEECINU2iqym4FgJIlTV2bAMgT3H+jJ+XiOY3DXDiXTfXowYKX5KoDDhw/j0KFDi0FJlmX8/ic+icOHD5f3xtYpRnmtPAbg44SQ7wK4A0CYUjpl0LVNQTQh4MpYECxDsLOnvujnYVkGm9pr8cqlaQyMBnHPbZ0Ix5JotK0+rsOsSHEJgUcDSAwn4Ox1wvegr+LrVc+eGYNMKbZ31aMhh7+iyt272vEfr17HxeE5hKJJ1Beo7LQwDkopQqEQjh49CoFy8O74dTxzfBACXoOaVBjzC0nUmsh+bD2gSYAihHwHwD0AfISQcQCfAcADAKX0SwAeB3A/gEEAcQAf1uK6lcSlkTnIFOhrrcl78crGlk6lDjUwGgTPsYgl0sDqYjFTsl5NZZ9eTO/lX169Y1sLCJS2Af983ApQJoYQgiNHjkCiBE+OuFGVuA5lmaMIyzX4wF/8DF/4xBuxob2CPowmRysV3wcopS2UUp5S2k4p/Sql9EuZ4ISMeu/3KKV9lNKdlNITWly3kriYkRL3ttSg2lVc/UllY3sNWJZgMhBFIiVCqKDUUC5T2UodzxGJpXBiwA8mz/SeirfKjr42L0RJxrlrAaueUQG4tj6IqqZNEBJh9P/4ML71p2/HhrYazEWS+Iuvv2y9hhpiOUkYxIXhOQDAhrYa8Fxpqaw6jxNtvipQCoz6I5AkWjEfivVqKntiwA9Jpuht8aCxrrB06x3bFAurS9eDpuprs7iZp06O4ulTY5CEJK49+XnEZgbxf498Fv/8R2/OuIPM44lXR8p9m+sGK0AZAKUUFzInqK1ddSU/n9POo6NRsUkamQqDMAySqcoQSqxXU9njl5UG7D0bChf23L1TSQleGA4gFDVXX5vFEpIk47Nf+QUAoMs5h8hkPw4ePIijR4/i03/6KfzXB3YBAP7xh2eQFiozE2A2rABlAP5gHMFIEm4Hj57m0mssNp5FR8bH7/p0GDYbh4VEZSxs69VU9ni/otB8/a7C2/t29TXAzrMY8y9gas48BsAWN/L8uQnEqQscBHz9f//BYk3q4MGD8Hq9ePD1G9HV7MHMfBw/fO5quW93XWAFKAO4OKKk93rbauCpym+8Ri56WpRANzIdBs+xSCQr4wS1Hk1lZ+bjuO6PwM6z2Lu1cIMUG89iU4diYXV5NFgx6dpbCUop/uWn5wEAD923EzVuRa2nBqnDhw+DYxl8+O3bAQCPH7NMgLXAClAGcGGZQGKlcWix9LYqvVDXpyOQZYq0VBmL2no0lVXTe5s6vEXXF7d3K4F5eCpi1aFMyPmhAAbG5lHtsuF992654XvL7azuua0Ddp5F//UgpuaiRt/musMKUAZw/poSoDa2e28Yu1AKzbUu1FTZkUiJmA3FIVaQo8R6M5VVA9TtGxuLfo49mZ8dngojHLMClNn4xfHrAIC7drSgoTZ7K4DbweP1u9sBAD99cciQe1vPVEyA8gej8AejFZf+kGQZl0cVH13V6FUL3E4enapQYjoMwpCKGtuwXkxlKaU43q8EqHtv7yz6eXb1KSeoaxMhxEw0KdkCECUZvzyhBKg33t6R1QBY5W13dAMAfv6qleYrlYoIUGP+MCJxEdGUjMujcxArqO9n1L+AlCDBV+NEc4kNustxOmxob1TkzNenIuA4DrGEtbAZzdRcDDOhBNwODlu7incIafC6UOdxIJ4SMeZf0PAOLUrl5IAfwUgSjbUu3JGZar0Wd25vgcdtw9hMFIPj8wbc4frF9AFqZj6KpAQ4HDbYeA4OhwOTgcr5AF8ZU96gnU0eVLtLa9BdDscy6GpcEkrYeBbRuJUaMpoLQ5n6YmtNyenbzR3KCfvaVKSiTsPrHbWv6a7tLXC7couceI7FPXsU69Hnzo7reWvrHtMHqPmF1A3CAo5lEEuKEMTK6DMYyKT3OhurNBNIqHRnlHzXp8MghFSUo8R6gFKKc0NL/W2lpp9Vj8bhqYh1GjYJoijjmdPKpKB797Tn/XP7tyonrZcuLHliV1p5wgwYZRZbFJJMAXJzDHU67ZgKRNHZXFOGuyoMtf7Uo8EOeyWdjVVgCOAPxiCIEqQKUfKtBw4fPoxQKIRQozJIev+WZhw6dAher7doZ+vdGxShxNBkCNF4GnWeyuwJW0+cHw4gmhDQWu/G9r78WyCe+ck3AfSi/3oQgiiBY5mS3x+3IqY+QYmSDKfj5rQYyyinKFk294JMKV1M8W1o1T6YVjttaKx1Q6bAZCAGUa4cy6NKRnW1/vwX/gmXRmZBAPzg6/+Ao0ePIhQKFf0abOvxgUA5EVtCCXNw7KJyAtrZ64Mnj/QeoLw/kgtzSATHkBZlnB8K4NChQyW/P25FTB2gKKVZFTO8jUMomjT4jm5GikvwP+LHyOdG4P+2/waz09lQAuFYGm4nj7YG7cdhOB08WnyK8GJidgEMa82GMgK1OfNDH/vvoGCQCE/ji59XHAWOHDmSU+WVjSonj6Y6F0SJYnSmcuqs65ljF5WpQHs2NuT9uqrvj95GZXP9zoc+jqNHj5b8/rgVMXWAWn0Qr4LdxiO0UN4AFTkewbHeY+j/zX6M/PkI+j/Yj2M9xxA5HgEADIwp6b2uJg+qSnQwXw2HnUNL/VKA4lgW8Qrx5Kt0CCF44zsfAgDEA4oEWYvFpztjhTU2E7WEEmUmFE2hfzQIjiXYt7mpoJ8lhODQ//deAICnfScAbd4ftxomD1BrkxLksh2X8xkboab3Ohqr4LJrK5AAABvHoqVOCVDjswuKki9hKfmMgFKKbz36FABgwT8AADdMWi2WTZlZQhOBqCWUKDPHL0+DUmBTRx2a6wvLgFBK8e9fPwpKZbh8XWBYmybvj1uNig5QDMdgIV4ek9R8xkb0jyydoEodsbEahBC0+5QPzsRsFIQQiJZQQncopTh06BAmw4pq8oWff2fR1brURWhzxu1+YjZqtQ2UmVcuKem9nb31sNvy15Op748vfv7vUcUkwDAc/vPH/rsm749bDVOr+HLhtNswv5CCx238mOV8xkZciSknqF4dBBIqHU1qgFqALNOKaWKmlGJ+IYlwNIlajxPeqsoZlU0IgbO6Hva4D3aexYa2Whw5cgQA4PV6S0rjqNOSr/sjSFeQfdV6RA1QhVpYEULg9Xpx8OBBtOzbg3/71VXcfd9vwMsulPz+uNWo6ABFCEGiTKKAXGMh2A4bpl6MgWXIoiWRHtRWOVDjtiMcS2EukoCTI2uKS8zC1FwUC0kJLocdU4EYHDwLhw5pUL144P0fwZNHn1ak/pn2AS1qDG0NVbBxDIKRJCLWbKiyMT0Xw3QwDpeDw7buwme4HT58GJRS/OSlIeBXV3HuWgBHrRpUwVR0ig8AJBlladrNNTYicofyvZb6Knh0EEioOOwsWn1LpyjCMKYflpYWJIRjabgyLQRutwNDUxFIFXL6A5b1t7UsnY5XW3zWUnmuBssw6GjKeCzOLlTU72Q9ce7aLABgY3staovsRyOEYFu30nx9dWzeCk5FUPEBiue5suTqc42NGJlXZMKtDW64nfqdDNwOG1p8irvyxGwULMsgYfIemonZCFzOpZQeIQR2O49AuHKG9akKze292f33cqk8s9GbaUCfmI0iabUNlIWzmQC1qc0LO198oqm72QOHjUUgkiy76rgS0SRAEULeRggZIIQMEkI+tcr3P0QImSWEnMn8+YgW1wUAu41DpEzF5LXGRlzNmES21lfBqWPqym7jFk1ox2cWYOM5RE08TyiVFpEU6U2uGjaeQzhWOSmtgVHl9d2zYfX6RD4qz2xsyAwvnAjEEDPxa7meUQPU1u7iDYABxZpNrSuqg0st8qfkGhQhhAXwRQBvATAO4Dgh5DFK6aUVD/0epfTjpV5vlesjVcaUljo2YiWD4yEAQEdDFVhWv4MqxzJoXd6syxCIgnlVQoFwHA776ilPmTJIJNOruoeYiWg8jbGZBXAswab21esT+ag8V3vfAMCWDuU5x2cWKmZSMqCkMwOPBpAYTsDZ64TvQV9FjlGJJwVcHQ+BIQQ7ewqvP61ka1c9zgzO4ty1Wbx2Z5sGd3jroIVIYj+AQUrpEAAQQr4L4AEAKwOUbggShSzfvCsvJ8NTYQBAZ5N+AgmVtkwNaioYA6D8PsxKLCnA6Vw9p+902DATSqCr2dwB6sri6dgNjlt985GPyjMbWzJjO0YrSMkXOR656cSoprsrbRDlheE5yDJFT0sNGutKH5GjiizODs6W/Fy3Glps7dsAjC3793jmayt5DyHkHCHk3wghHdmejBDyMCHkBCHkxHwwkNcNsByDWMI86aF4UsBMKAGOJejQweJoJU21LnAswVw4gVRaNG1hPS1IWOvWGIYgnhRN3ydyOZPeWy6QWEkuleda36/zOFDl5JFIiQiE1w50ZqCUdKYZWRJIeDVJz6tpwmuToZKf61ZDiwC12rFl5QrzEwDdlNJdAJ4E8I1sT0Yp/TKldC+ldG9tXX7uwXYbb6r6xci0UgRvqa9ClVP/04CdZ9GYqUNNB+OQAVMGqWA4DnuW9J4KwzGImdwN40pGILG1K3v6J5fK0/fg2u9tVZk5ORczfW9bPunMSkKtP23prNNEedfRUI0qJ49QNI1AyPwbDjOhRYAaB7D8RNQOYHL5Ayilc5RSNYJ8BcBrNLjuIizDICWY50OsTtFs9VXB5dC/1cxhZ9FUqyj5puaiYIg5peYLCSGno4bDZjOFCfBaqAKJ3X3ZGzhzqTxz1WbaMyfv6fk4kilzqzJLSWeaCSkuYfpb06j7XgJ7Bp3Y2uTV5HkZhmBju/Jc6ubGIj+0WD2PA9hICOkBMAHg/QAeWv4AQkgLpXQq8893AejX4Lo3IJgoV391QjnKt9S7DWk+ddo4NNUpAWp6LorbNjYinhLgdJin8VWSZAgSRS6/CIYhiJs4JSSIEoanwiAAtqxxggKWVJ6BRwNIDBUmHFDSh2OYCSYQSwioynPUQzkoJZ1pFpbX0O6FG4AbyfuGEPlplSY1tL42L05fncXl0SDusoQSeVNygKKUioSQjwN4AgAL4GuU0ouEkL8EcIJS+hiAPyCEvAuACCAI4EOlXvem+4CyeOjheVcoqoKv3VdlyP3YbTwavOoJKgYbzyKeFFBvonmO0WQaXJ6/C0k2n+hF5fp0BJJM0VDjyMuhPpvKMxd9GXusyTnz90L5HvSBa+Qhztx80ssnnVlustXQxBkR5995HgeGD5SsRuxrVU5Ql69bJ6hC0ET/TCl9nFK6iVLaRyn9q8zXPp0JTqCU/gmldDuldDel9F5K6WUtrrscluMQN0mD6nW/UoPqajZGvcRzDJpqlV3q1Fw0M/7dXEKDhVgK9jxH3rMcWzYT4FwMZk7H7Q36qjM3qq7ms1HTvZYrYZ0sGr7eA7bhxv0u08Ch/mvdppeaG1FD62tTAtTw9NpN2hY3UtFefMux8xwW4inUlNl0NJ4UMJtR8LU3lC5RzQdCyOLYjek5RWquh0iilD6XZFqG3ZHfichh4xGKlv+1XA01QPW06Lv5aG+oBssQBMJx02y8siFJMuStdnSe3IPY40GIIylw3Xa4769DTE4hlRYLcgM3GiNqaOqJeCIQNW12wIyY911TIAxDkEqVvw41vEzB5zKwBtRU58osaAmkBEnzsRul9rkIoox8qyiEECRNOqzvWiZAqb1KesFxDJpqXZici2EqGMMOEy9qgXAcNjsPhmdQ/Z4b03ku2Y7ZUAztjSbKN6/AiBqax21Ho9eJmVACE4EoOnQ0kF5PVLwX33LMMAvpSsZEtLWhCm4DA5QiNVfqUP5gDJQQzeTJpfa5JFMCCFPYW02UzCmVV09Qa0nMtaJNVfIFE0ibNGADyuRZWxa/OpZhTD/ludSWgHzpzaT5BkatOlS+rKsAJVFa9kVNlZi31bvhsBt3QLXxLJrr1TRfFAxDNFvUSs3RR+Ip2ApM8bAcg7jJfOii8TSmg3FwLEFvqzYS5LVQx7RMB2NImnSRTwsScu0LRak8EwfyRW0JoHU3pqvzbQnIlw0VGqCSKQH+uSiCZTBzXlcBimPZsi9q1yYViyNlro9xxWGXjUNjRsk3ORcDz7GajQwvNUcfS4gFqxntNh4LJht5PrisfcDG6//aqoMup4Nx0xoAh6PJnOIXh8OGYMTcvVCefR5c+oIbj9wbxPV3szcYP2vFopKvggJUNJHC4EQYcYHCH0pgwWBDhHUVoGw2ruyL2qhfGbPR2Vht6PwXh51bTPFNBaLgOVazYY6l5uiL6VFjGQbJtLl23WqA6moyRp2ppoQmAgumSF+vRiSezpreU+E5FgsVML7+sj+EMxsSsP9uA5oeatJcfaieoNQ1wuxQSjExG0WNxwWOY1HldmJsNmqoCcC6ClDlXtTiSQGzYUXBp1rVGAXPsWioUQKFfz4GQohmi1opOXpZphDl4u7DTM3XwFKAUk82etOb8frzz8VMaxqb730JUvnT77lQTYA3tunz+na3eMAQgulgzNQpT5XZUAwsd+Pmw+1yYCpgXIBdVwEKQFl9y4Yy6b1WXzUcBqSAlsOyS71QM0ElVywVGRhueu4SbHuSaQFMkeNGJFre13Ml6uu7sU3/+hMA1FY74LCxiKdEhE04/j2ZEkBIfq8ty7GmTVMCwFwkgWAkCYeNRV+7Pq+vw8ahpd4NmQJjM+Y+RVFKMRe5uXeRYQjiKQmyRmtLLtaNzFxFkigopWUZr6z6bLU1VMFpoEBCRbU7mg3FIcna7liLte1ZyCMFlA2OYxBLplHjNkc/lDpCJZfFkVYQQtBc58bIdATT83FIkqzrbLFCCS0k8+5vsvM8wtGUaV7LlSy6vzRUo8qpn61UV7MHE4Eork2GDBHaFMtCPJV1Y8nbOMwvJFBf49L9PtZdgCKMYpRajsbAK2NLc4L0HPOeDaedR53HgWAkiblwAk6eaNoUWIxtTyIlgueLc3S38zwWYuZY1OYXkghFU3DYWN1dJJbTXOfCyHQEs6EEUoIIF2v8rKxsDdrRpAC7I7/XhmEIUknznIZXslRfrAan4yagq8mDly5MYmgiDOzV7TIlMx9Jwpll8oDdxiMYSVoBqhg4jkUsKZQlQA1NqSk+N+xFnhryIduCwTIEjbUuBCNJ+IMx9LZ6kBZEQwxrsyFIFGyRlzdL8zWwlN5rqXfn7SmoBeowykA4iURKhMvgacNrNWiLjTTv5mtAqSmWK7uRi6uZE1S3zg4hXc3K5mbIxLOhKKWIpyVUrbGxFGWKtCDprmZddwHKxrOIJtKo8xjvoDw2EwWgmMTqlYpZa8Fw9LJo9Lpw+XoQM/MxbGz3Ipkqb4ASSyzum0Uooab3Ogw8PQFAR2Yi82wojpjBBsC5GrRrn9sMFODmRVgGqXR534/ZUPsX9RbAqArQURPXoBbiqZzrl8NuQzAcR7NP38+DeRLaGkEIKcuiFk8KCIQT4FgGrTpN0c21YNhkBj5vRskXjIPnWcTL6ISdFiSgxPSiDO0cMUpBDVDqDtgoupszSr5g3HCpea4GbfGX0YKez85zphR7iJK8mP3YrrOFlWogPZXxzDQj85EkHDkGi3Ici5gBzePrLkAB5bE8UnPYbQ1Vuin4ci0YsZ+H4POoASoGlinv4MJ4Ig2OLe13wbEMEiZQf6kLWO8aY971oDuzoE0HY4bLtHM1YNPxwnoOOY41pe3RdX8EgijDV+OEr1bfuoqvxgmXnUMsKSK0YM7BnClBzisNmzZgSOy6DFDqPCEjUe1L2huqdcvL5lowhOtp+GqUorV/XtmhlbPBM5osXsGnwvOcZo4YpTCcqUFt6qw19LrN9W6wDMH8QtLwxT1XAzbfXbjazYz9XKqCr6OxWtfaMaBkeNRTlLrpMROCKOXdt0hYBgmdnfbXZYBiWAbJtLGLmvomb/VVwaWTQCPXguHqcy6Ofvdr3AtVDGmxdJLwUFcAACAASURBVAUhxzJIlnl8fTiWwlwkCRvHoNNgV26WYdCgpm3n44ZuvNZq0GZ8HNz3Fy63N1tvGwBczdSf9B6hotKZqUOpzvhmYiGeBp9nkLbbeMxH9T0FrssAZeM5RBPGpoWGp5dUXnqNWs/H0aG+xgGOZRCOpZBMi5BlpS+sHJQqkFApt1BiZGrptTXSAFilOTPrazacNNTVfK0G7dqvdYNxFr58cKz5TIBV/8wegwaMqmlb9bpmQhksmt97nGMZJHQ+1a87FR+g2P4YXbdQO8Pb6l26pfjUBSObio91suA5ZezGZCAKfzAOn8eGtCjpnrpYCaVUs9NbuX3ohqaUGV/lmuHT6nPjzOAsZkMJw1WZqzVoM290IywXt2ngRILJb04jGEDBQy/1Qm0h2KCTg8RK1BTfiAlTfClRhpPPP+uRFvRtHViXAQqAoWOyY0kBgXASHMugpd6ta59HLkcHjiFoqnNjMhDFzHwMDTUOpNOi4QEqLUgFz4DKBmEIUoLx/w8qav2pXAFKHbsRCMcRT4sw2n9gZYP29elwUbXF5Okopj94BdLs0q67kKGXepBIiZiai4JlCDZ1GFNfVKXmk4HCVJB6I0lywZtBwjBIpATd+vPWbYAyMs+9OAOqocqQMQxrOTrY+WWmscEY9mxsRCItotqY6fOLJJKCZr1gLMsikRDKF6BUiXlTeQKUuuP2B+NlVWWqCKIMO1fYJkxOyDcFJ2CpReLA8IGynKSuT0dAKdBY59LV4mg56oZjJpSAJMtgNdrIlUo0mQZX4Pplt3FYiKV1C1Ca/GYIIW8jhAwQQgYJIZ9a5ft2Qsj3Mt9/hRDSrcV110KGcRNZ1fkuHY0eXW1S8sHh4FC/qOSLKyKDlPGLmhYKPhW7jUPE4JriclS1lVE77JV0Nam9ULGypzuB4jZ/sceDNwUnlXyGXuqF6ujQ3lClmSVYLhx2Dr4aJySZYmbe+CGA2QhHU7DzhaWPOQ3H+qxGyaspIYQF8EUAbwewDcAHCCHbVjzsdwDMU0o3ADgC4H+Wet1csCyDpEFNqssVfE57efPpDp674QRFCCl63EUpCBoo+FTK1XwNANGEgJlMoO8xuAdKRXWTmJmPI13mMQ2iJKOYt5M4snaDbq4WCr1QNx+dBp+O2zPN/CPTEUOvuxZpQS7qM6tn64AW2/39AAYppUOU0jSA7wJ4YMVjHgDwjczf/w3Am4jOhlw8xyFmkFBCfZO1+FxwldnGhedY+DIBSt2dlWMOj9YpVqlMJwe1kN1c5zLcB0/FYeNQW22HJFMEQomyqTIBIJFMF+VFyOXomcrVQqEXqkDCKIm5SlvGMuu6iQJUsZ9ZUdKv71SLANUGYGzZv8czX1v1MZRSEUAYwKqeIoSQhwkhJwghJ+aDxR/7FSWfMSeosVlFwdda5y6LSe1yGIagsXbpBKWlmq4QtE5FiWWSy6s77I7GasNSQKvRVKsUEWdCibKeomIJIe8+meW4768D27D6z+Uaeqknan1xc7sxI1RUlk5Q5lDypQUJtMgzA6tj36kWAWq1/6uVK0k+j1G+SOmXKaV7KaV7a+tKe9MaoeSLJtKYCyfBcwwavU7wBjpdZ8PjsqHKySMlSAjH0pApDG3wFEQJVOO1nMkYjRqNuoAZOWJjNVrqlQbsmXAC6TL6KyYFqag6K+Nk0PzIppuCVD5DL/UimRYxEYiCYQg2dBirjVQVoWYZ/x5PpMEWaUtm4xWhhB5osd0fB9Cx7N/tACazPGacEMIBqAEQ1ODaa2KEkm9xBpSvCnaDp+hmg2UZNNa6EU2E4A/G0N7gNnTsRjIllOzBpyLHJcQen0dyKIGJTQvo/mCboYuZKjHvatLHADhf1B33XDhZFlWmSinjUxy3VaHz5B7EHg8idiWGztfUlbUPSlXwNdU6DVPwqaiv53TQHKaxC4l00SpZRShh3gB1HMBGQkgPgAkA7wfw0IrHPAbgtwC8DOC9AJ6mBuRrZChBSk9lnerB12kCBZ8KyxA01bkwNBnCzHwMXU3VhjZ4xpOiJifJlX0zEQDTfzZmaN9MuUxiV6La48zMx8uiylQp1R2EcTKofo8PJF6F2pYasGXc1KmvrTpzy0jUGtRspqZY7hlZaVGGzV78PegllCh5Rc3UlD4O4AkA/QC+Tym9SAj5S0LIuzIP+yqAekLIIIA/BHCTFF0PWJZBMqWvJ5866Ky9sRp8gb0heuG4oRcqDo5jDVM0AkAiLZY81C9X34yU0H+RVpo4Y2AZgj6DXAaysTR2I1YWVSagzfgUFYZhkDDYL3Ml6um42yCLo+XUuJU0fDItIWSCESSlbjz0EkposuWnlD5OKd1EKe2jlP5V5mufppQ+lvl7klL6G5TSDZTS/ZTSIS2umwue098JWx081lLvLpvKayUOO4d6b8Y0dj4GjmWQMrDBUwuBhBn6ZtQCdpOBTZzZ6M6c4KaDMYhlEkkk0gIYjZpKbSZwqVcVfH06DylcDULIYl2z3HUoUZIhrSoTyB+G0adGbI6clE7wBpwcxpcHqDIYia6G4iaRadbN5LiN3HVrIWs3Q9+MusNu9+k3QiVfatw2uOwcEikRoWh5mpZjCUEzlSrHlndWGbAkgClXA7Zah7peZiVfLJkGx5UWCvjMJHOtqegAFVpIIhhZ2+5dTyVfJJbGXERR8DXUOMouMVfhOXbRTWKxF8qgACXLFFr8ys3QN7NYo9BpQnIhEKLUFQFg2uCxGyqptKSpLU85XepTgoTx2SgYAmzsMFZirqK+r4bLbBobSwilz23jWF2czc2xohbI6St+/PuzA+i/PgcAuHtnO9735q1oXaXYqaeSb2BUuX5bQzU4lil7oVOFZRk01jhBCBAIxZUjvEGNrmlB1CQNpPTNjK6a5jOqb2Zo0jgPPikuKQbAwzcbAKs017kxPBXBbDhhqCpTRZRkTReMcto2XZ+OQKYUTbVOuHQaj5OLdpM066bSEjhbaeUJQgjSOqy1FRegLg4H8DfffBmiRMFzDCileP7cOE4OTON//d49aPXduJjIVD8l38CY6sFXDY41R3BSsfEs6j1OBMIJBMIJVNkZCKKke59WMiVqYhKr9s2sFEqwDZxhfTOLAUrnInrkeCTrCJXlasXW+sxcqFACKUEyPEBpfQqnRBFelCN9OlxGBZ+KmuKbKrPUXNBo46HV/LflVFSKb2J2Af/zW8cgShT33dGD//c/7scXP/lW3L6pCfGUiP/1yKs31Zw4HWdDXZtYchngTSIxV2EzYzeAjCcfowQovYmnRfAaLThq30zjl3pR96k2NH6pFy0vbzNEYp5MiZjMjGHY0Kafgk9KSDcFJ2B1taLqyTcbSug+ansloiRDLrGQvhJFXVoeoYRqEquOvigH6glqZr48PoSAMrdNq5OsBO1t1cy1qq4BpRT/+G8nEU0I2LulGR955264HDwavC588gP70NZQhVF/BF957OwNP8frqBZSPfjaGqrgNIlAQoVjCBoz499n5mPgWH1yxCtJC9rWKdS+mdpPtqH6PT7IBgklh6fDShNnnQs1bv0UfIFHAzcFJ5WVakV1MZ2djyNlcP0mlRbBapwlMEJlmw11CKXRDhLLaah1gucYROJpxA3ecKikRUkzCy+GYZDSeOJzxQSokwN+XBmbh8dtw6H37QW77JfqtPP44w/eARvH4JlTo4u7I0BRCyV1UgupEvPW+iq4neU1iV2JjWfRkJGaT8/FMkVM/T8EetcVJIM8+dTTcXtDta7il1xqxOXfX5wLNR8zdN4ZoCi9eE7b34PR7Q/LUdeILZ3lEUgAAMswaK1X0nwTZRpemEgIRVscrcTGc5or+SoiQFFK8Z0nLwEA3vOGzXCukntvb/TgvgO9AIDvP3X5hu/poeTzB2OIxNJw2TnUVtvKNkwvG04bB9+yuVAMQwwpSuu/cBJD5MnqAtah85ygXGrE5d9vqa8CQwiCkaSuM3hWI5HSp35p5ORrlbQgYXwmCkKADW3lkZirLEnNyyOU0HJumx4G3RURoF65OInhyTDqPA689Y6erI/79ddthI1n8Wr/FK5NLJ2i9CjeXRxRUi+dzR5whGg2PVYr7DYO9Z4lV3NA/9ONLNOiZgUVglJT1P8kqAokOnRW8Pke9IFvWv30vVKtyLEMfN5M+0DQ2EF3em089Phs5mLUryj4GmrKp+BTac+Yxo6USWqe1nBuG6D9hsNcq2oWfvrSNQDAu9+waU1D1tpqB+7LBLAfPLPsFMVov+vuv64o+Lqaa0wXnAClcc7nXTEXSufokRZEMDr/Lmw8h6gBc76uZU5QPToX0Vkni50/2XlTkMrm8t2oOoSEEobO+dKtTYHAEPHOctTNRzkVfCptZR5cqPXGQ+vnM1deahWm5qK4NDIHO8/i3ts7cz7+11+3ET9/+RpO9E9hLpxAfY1z0fdLSznr8KTyhupurgFvMok5oOy2vS4eNp7FQjyNWFIAzdRv9OrXiqdEzVzMs8EwBEJa30AbTwqYDsbBscQQnzbPPg8ODB9Q+qCGsvdBAUov1IXhOcyFk0gLEpwGbI70nCnGsiySKcHQMTVLM77KH6DUFN/ErPF2R3q8rjKIpm095tv6r+CZU6MAgDt3tK5ae1pJbbUD+7a2QKZLP2u3aa8WGvFnFHw+NxwmcZBYCccxaFKVfMEYCEN0HXYXT6YNWWgEnU8Oao9MS30Vqt3GyAZZJ4umh5rQ/WfdaHqoKWufV6tPaR0IhBOGGQCnBQlEQ2XmcniORdygwaIq6glqcxkFEiqq1Nw/b2zKFsi8rkTb15VliaaefCYPUBTPZoLMvbd35f1Tb97bDQB46sQIZJmCZRgk09otzKm0iMlZRXWjmMSaM0Ct7IViGEbXYXeiVHw+m1KKJ14Zxue+/hI+/4MT+NlL17KmsPR2xbg2NI/bBp1406kqLPxw3hDn9HxRB90FwgnDhBKJpKBbGttop31gaQOytav8Aaql3g1CgLlICqIoGzo1OpYUSp46sBKe4xDTMAVvzpU1QyIlIRBOoLHWhe09+Vvb7N7QiAavC/75OC4MzWLXhkZNi7GD4/MQJBmNtS7YeBZOk7iYr4RlyOKocP98PDNYTL9hd8UOs1uIp/GFfz+J4/3Ti1979vQYLgzN4tD79t2cms3UFPVwIIgcj8D5nkk8FFYWrys/H8DwfxsydAbVWnQtmwslGCTRjqUEzZqvV8NIJZ8gShibWVAUfO3lVfAdPnwYoVAIDd43YGY+jsm5KP7+bz4Nr9eLw4cP6379uA6tAzzHajriyNQnKDUS33NbZ0E7c4YheNNrlBPXUyeuAwAkqt28kksjigdfZ5MHDKhpBhWuxMazaKhdUvJxLLPqsDspLsH/iB8jnxuB/9v+ok8MxRTtKaU48r3jON4/DZeDx0cf2IOH37UbbgePVy5N4W++eeym59VrlpDq6sCHb3yfGDmDKheLvVDBmO6pThVBlDVtvl6JkWKP6/4FSDKFr8aZV8lALyilCIVCOHr0KJJhZWP2Z5/9Oxw9ehShUMiQk5TWCj4VLd+Xpj5BqbnpO3e0Fvyz99zege8+1Y/jl6eQyuRaU2kRTg1kpQOZIYXdLTXgS7Sp1xOHjYNPHVw4HwchBMKKIJ2vD1wuipWYP3NqFGeuzqDKyeN//969iynJLV31+IuvvYizgzP4xfERvD3T4wYs1RRr3I7CL7gG+bg6ND3UpOk1C6W22gGHjUU8JSISN2bsRilj3vNBosr7R89+MxU1vaf6GpYLQgiOHDkCAPjRqVNo2HIPnnj2FRw8eBBHjhwxxHhalGTo8bJqmYI37+oKRRbdVOtaHHddCI21bmxor0UyLeH0wDRsNg4LCW0mV6o9Vn2tXtN58C3HYWNR77lxLtTy3WohPnC5KEZiPr+QxP/72XkAwG+/Y9dicAKU4P/RB3YDAL7zy0uIxJZeO5bRZ5ZQIa4O5YKQJQur6TljCut6n3D0Gna3GqpAotMAh/pcqEEqFfEDABw1LYYFJ0C/Wq6Wbi/mXV0z7N3aUvQLdtfONgDAi+cnNOtylmV5mUy12nQWR8thBQLPs0m86VQ1Wl6VIcakG2SlhfjA5SKZEgtOA33/qcuIJQXctqkJb9jTcdP379jeil0bGhBNCPj2Ly/deH86fLgKcXUoJ2ov1Ew4obtzhyTJhjRfxw2w4QKWhlCWa0jhciilOHToEFILMwAAu6cZhw4dMia9J0iATidWouEG0vQBav/WlqJ/9q5MavDkwDRSgoS0Bova0EQY8aQIb5UdHjcPd5k70bMROR7BiY2vIv5Hk3jbSQ/e/1QtRveeRerM0rA7LU8MhRbSF+JpPHNaUWj+1tt3rLoJIYTgI+/YBZYhePL4CGZDSycGPRwIfA/6INeu/pEwagZVPrTUKwEqEEroLpRIC5JmY96zYeNZxAwySx2aUrIf27rrDbleNtTgdPToUbz7194IAGjs2ICjR48aEqQSaUG315VlGc3cXkq6Q0JIHSHkl4SQq5n/rrotIYRIhJAzmT+P5X1zDMHWEt5IK9N8WixqZwaV3U5vmxeQqWmm6C4nW+qOBkSEP3IdyYiSLtPyxFBoIf2Xx0eQFiTs2di4Zgq3vdGDu3a0QabAE68ML35dnSWkJayTxZU/cmDBeePzZnN1KBeqA0IgrL8nXzylvRR5JYQY4xMpiBJG/QsgADaWWcFHCIHX68XBgwfxf/76M8oX+Sr8wR8chNfr1T3Nl9Bgim42tHR7KfUOPwXgKUrp3xJCPpX59x+v8rgEpXRPoU/usnMlK+Tu2tGKwfF5vHRhEjt765ESxJKMXVWLow1ttWBZYpopustZK3UnB0T4/30WPb/TsegDt9pjCz0xiAUU0kVJxs+PDQEA3nFXX87H339XL54/N45fvDqM33jjFth5FizLau4OAgAXnAv4xvun8cfNW7HHVbemq0O56GquAQAEwnHde4gSKUFzKfJqGOHOPjYTzSj4HGVV8KkcPnx40dml2mXDQjyNP//rv4avxqX7tZOCBI7Xpz1GS7eXUs94DwD4Rubv3wDw6yU+3w1UaVDfuXOHUoc6cXkKMiUlO0pcy+Swe9vMK5DIlZqLDSrfL9QHbi0KKaS/ekmxoWrzVWHPxtyquE0ddehr8yKaEPDC2TEA+riDAMrrK3JA8wdzuzqUC7XAPzMf193ZXdBJirwSI05QqkN9m6+8Cr7lqBtc1fJoMmDMdF29e8+02nCUusI2UUqnACDz38Ysj3MQQk4QQo4RQvIOYlrscprq3Ohr8yKZlnBhOICFEqS5oigtylR7Wjyw28y1cKnkSs2R9qXfq+oDt/WRrej+bDe2PrIVB4YPFC4xL+D+njujBJm33tGT1+JHCMH9dyonrZ8fU9J8eij5FuJpBMIJ2DgGnQ3lV3llo7MxM7gwFIegsxt4qQtNNJHGC2fH8cNfXbmhhrgShiGaD7tbyfAycZPZUNO2Ro3d0FuZqdWGI+fZnRDyJIDmVb71pwVcp5NSOkkI6QXwNCHkPKX0WpbrPQzgYQBobWsv4BLZuWtnG65NhPDyhUnc1ld8TevK+DziKRHeajuqHLxpFXxrpe7YBg62+24MPqoPXLEIYv6eXrGkgFNX/CAEeG1GZZkPd+9qw9d+eg5DkyGM+iPobPJovjirO+zWBuM8+IrBYefgrbIjFE1hNpTAxpsFkJpRipnofxwbwld/em7xOb73VD/e+doNeP+bt96UumdYFslUaen3XCx68HWU3+JoJUuu5vqP3RAluaANZVFkXOpL9ebMuapQSt9MKd2xyp8fA/ATQloAIPPfmSzPMZn57xCAZwHctsb1vkwp3Usp3Vtbp41q6q5lab54UizaUeLMVeV/b0NbLURJQpVZLY6ypO6iLhnNj2wCtWmbskmmxLy92l69NAVRkrGt24c6T/4iDJ5jFxu2Xzg7DkD7tNDVcTUFVAWHCWoUa6H2Qvl1nAulLGTFvVdePDeOr/zkLCSZYkevD/u3tUAQZfzwV1duahkAlNdXTyUfpXSxPWRrT72hnnf50JY5sY/69T9BpdKi7spMhtWmt63Uu3wMwG9l/v5bAH688gGEkFpCiD3zdx+A1wK4+R2qI8vTfOeG5xAvUmFyfkixONrSVWfKIYXLUVN3m/51M1x/2Ijvvmkef/W+KZDtDogaN7YUIjF/8bwSXAo5Pam8brdyVHj+7JiywGg852tgbB6A4ndn5PiHYmhWA5SOvVBpQSyq/nR1LIijPzgJSoHfvG8b/vIjr8OnfvMAPv3h14JhCH703FWcuuK/4Wc4Vp/ma0ARIxz8xB8uKvg2tdfi0KFDhvjd5Yua4jOiBhUzYOoAz3Ga9LaVusL+LYC3EEKuAnhL5t8ghOwlhPxL5jFbAZwghJwF8AyAv6WUGhqggKWm3ZMD/qItYlQF37Zun6ktjlRYJ4vW/9yC6t9vwuQ+ApHLWB4xRNMhcWlByktivhBP4+zVGTAEOLCj8AC1rceHOo8D/vk4rowFFU8+DRs8L2de377WGs2eUy+aM1Y9c+EE0jrVbuJJseCFjFKKr/3sPERJxn37e/Dg6zctfm/Pxka8/81bAQCf//4JLMRvdHbRo3Cvet595V+/D1GSUV/jwJ/88X8z1PMuH1SRxMwadTqtSKQk3STmKjzHIrGK72ehlLTKUkrnKKVvopRuzPw3mPn6CUrpRzJ/f4lSupNSujvz36+WfNdFoKb5Tg5MIxIrPEBNBRYwEYjCxrPobvLAZTdf/1M2lo/dmJmPgdH45JFvqu3E5Skl5dPXAG+VveDrsAzBa3cpdcnnzowrSj6N0kKiKC9O0d1QAQGqM1Ponw0lNB0ls5x4EYMETw5MY2A0CI/Lhv/y9u03tWG8+/WbsL3Hh0g8jZ++eGMZWo/CvWon9J4PPgwAGOo/g6NHjxrqeZcPjbUusAxBKJrWvXXACEm/Vtcx/zFAI5an+Y5fns79Ays4dnEKgFJglWQZHnfhC2y5YNnlc6Hi4FgWcQ3z/fkuLCcHlLROKe4gr9+tBKiXL0wAIEhptDiP+CMQRBmNXhd8teawNFoLVWoeCCeKTlnnQpQKm74syxSP/EJJjrzn3s2rqnAZhuCht24DAPzs5aEbNhgy9Fk8CSF4w30PAgCSYeVzbKbgBCgpzpbMqXgiM2tOL4yQ9APaeP3dMgEKWErzvdrvL1jSenpwFgCwracelMpwVOgJajoYU47fGu3SZJkin/ehJMmLIpPbN68mCs2P3lYvGmtdCEVTuDI6p5m1/5VRJb3X2VyNaqf5Nx/dmWZd/3xMtwWn0GDx6qVJXJ+OwFfjxH37e7I+bmtXPXb0+BBPCosN24BiGqtHupJSih8+/iwAID43AgCGed4Vgjpd97qOQgk9xrxnQwvT2HUdoERJxkI0gYVoAslUejHNd3pwBtOB/HcplNIb6k8cy5hq95ULG8+iwbs0F0pLaxlBzM+rbWA0iHhSQJuvCs11xTdKEkJwx3ZFzXfs4iQkSRvn5EWBRKOnIjYfjXWZlNBCCjGdRqYXugP+ZWb22rvu3pDT4eO9924GAPzkhUGkMulmnmMRTWh7GlQ970ZnldrOk499GwcPHjTM864QVKm5nko+I7wVFyEE6RJr3es2QAmiCElIY1NHLbZ01sHj5OC2M+hr8yKVlvD8+cm8n8sfjOG6PwKOJdjY7oWtAgQSy3HYONR7lgIUoF2+P99x4Kpq6/bNpc9TunMxQE2BEkXmXiqXMyeonlZPRWw+WIa5YdNRDGsNqhRECYUozGdDcZy56gfHMnjDbbkbs3b2NaCvzYuFeBqvXlI+izae06SwvhxCCDw1XrjrlM3pxvZaHDlyBAcPGuN5Vwiqkk/PAJXv51ULWI4t+bNp/q1iEYiSDEgi+tpqF9+ATXVVcNo47N/ajGsTITx3dgLve+PmvIrAL5wfB6VAX5tiMFntMmf/UzacNg711UraamY+rukxP54W85KYnxxQ6n6lpPdUNnXUobbagdlQHBOBGBo8jpIGUVJKcSVzgtrY5i35/oyiqdaF6WAc00X0QuUaVJlKFzbf65mTo6AUuGNbC6pduVOkhBC88TVduDYRwjOnRhdbCPSoQf32fz2En3/mp/B5HHBl3idmq0EBSyeosRn9alDRZLpkBV8klsKL5yfgsnPobK5BT8vqoiLVpb6mqvjBopV1FMiTZCKFruabd0eeKgfe8pp2MAzB2WuzGBwL5vV8L5xXCqv7trZAEETUVJBAAgB4noXDzqHKySMlSAhHU5CpNqeofCTmgXAC16cjcNhYTcYcMAzBHdsUocXJAT/iJe7SJudiiCYEeNw2tJrIpy0XqtR8NhwvqG0gn0GV8QJMYmWZ4ulTSnrvTXu7876Pu3e1g2MZnB2cQSAjr9ajnjaYGTC6/LU1W3AClgLUzLx+UvNSvRWP90/hE0efwlceO4ujPziJT/7j0/jnH59Z1fxACzuydReg0oKIump71mPsjt5G7O7zQZYpnjgxmvP5Yok0Tl9RivsHtreA5xhTN+iuBscyIJTeIJRgNPKyy2dBOX9N+f3t6G3QrEHwgJrmuzBZ8v/HpRGlAbu7uUbzMfJ6ovbOzIaTBQWofAZVJlP529RcGglgZj6OBq8Lu/oa8r6PapcN+7e2gFLg2Yw/oyTTop1esnF1XDkd97Wa+3Tc5ltqHdCrNlbKCfWFc+P4m28eQyiawubOOty1ow02jsETrwzjiz88tWpWptQNR2WttHkgCAIa1yjCE0LwwN0bAAC/OjOOZHptufXTp0YRT4nobPKgqc4Np60yf2XLpebTwRg4jZR8+ZzCLgwpk3l39ua/eOViW48PVU4eE4EoRv0LJT3XuWuKQnNDW01FCCRUVCXfTDCORAGnyHwGVRaijjx2Uakh3b2rreDd+b2v6QQAPHPyOiiluox/v5KxsNrRa46Bk9mocvLwVtkhSLJup6hiA0YwksCXf3wGeKvQuwAAIABJREFUAPC+N23BXz38evzRQ/vxP/7LnbDzLJ45NYqfvTS4yvVKy9JU5mqbhVRaOT3lOr6/dV8Xql08xmejeP7M+JqPff7cBABlx55MCqitrpwd9nJYhqC1XtlxTwWi4Dm25P6ZfF3MLw4rAWq7hgsExzLYn0nzHR/wl3SKOpdpIdjcWWvK1E82upsV09+ZULwgR418BlXmW6OklOLVS0oKXFVXFsKeDY2ocdsxNRfD8FRYl/HvVzP1xR095g5QwJJQYmRKe9PYQoUvKpRS/NOjpxFNCLh9UxP+0xu3LG5Edm1oxKH37QUAfP/pAYSiN7qDyCitlLCuApSQFlDvyT3si+dYvHVfFwDg0ReuIZFloQ5Fkzg5oKb3WgEqw2VSg9hccCyDlkW/rygYpnSpeVoQQXLUn2bmY5iZj8Pt4BcH7WmFmuY7MeAv2vIomRYxMDYPQoCtneZzuV4L9ffpD8aREvJfBFS3+9VQB1Xm+964NhFCIJxAnceBDW2FT6llWQZ3bFc2GscuTCqFdQ3nfIVjKfjn4+A5Bl0t+Y+QKRdLrubaK/mSKQEsW3iK/eTANE4N+OF28PjYg7fdtInbt7UFt21qQjwp4DsrjIAZwpQ0RmXdBChKKRy2/OtDv33/DvAsg+OX/TiW2QGu5GcvXUMknkZLvRtdzR7YeLaidtjLsXMMmjIGo1Nziiy5VO+zZErMKZBYPD31+MBqPPhuV18jnHYO16cjuJKn4GUl/deDkGSKjkYPfDXmd5BYjjMzdkOUZMyG1k7bLSfXoEqJA0ier9UrGYn4/q0tRRff1aGiL1+cACFEs+ZrYOn01O5z5+UXWW7UuqIezbrFeCsCwI+euwoA+I03bkb9Kp8RQgg+fP8OsAzBkydGMLbs3jmOLSj9vBLzv2J5kkim4fPmPyq5sdaNN+9V8t8/emEI/rkbpZ3BSAI/eFbJqT7wuo1ICWJR/nFmweng4cv0zUzNRRWpeYkLQT4u5mr9Scv0noqNZ/GajGz9xfOrbzJycX5Z/akUOWy5aK5T3vOFumCvNagymc6/V+aVi8Wn91S2q/XE2SjG/BFNlXxq/amr2fynJ2BJKDFVZG/bWiTSIrgCA9SVsSAujczB5eDxln3dWR/X3ujBm/d2g1Lg8ZeX3EFUqXmxrJsABSrn1X+xnI++axdYhuDYxUmcujaLYETZhaYEET9+4RomAlH4vE7ce3sXREGs2PoToDTrumws3A4eiZS4KDUvRTEliHLeJyi98v9qmu+V/sL9FQHg3DXl/ja1e3O6H5gRVWo+HYwVrPxSB1WuHG2fSIrg80gFTQaiGJ9dgNvBY3sJr+/yeuLLFyY1VfKpCr4tFZK+VVN803PaiySKCfw/fl45Pb11f3fOCedvv7MXAPCrM6OLXp+lutasiwAlyxROW+Hqq7aGaty3vwsyBT7/g9MYnAqjf2QOZ6/O4kcvKE7L771nMxgGqHZyFZveA5SdDKV0RR2qNO+zXClCtf5U5dSu/iTLFAuxJBIJxcJqZ68PNo7B4EQIEzOFqfkopYsKPi36s8pBR8a/bUbD8e/JPHfapzPuILdtarppQm6hLE/zMax2nnxqik9LBame6NkLVaiibmY+jlcuToJjCd5xV1/Ox3c2ebCjx4dkWsKzp5daeEpR8q2LAJVMpVHnKe5080fv34sNbV4Ewgn8n++cxAsXpvC5b76CyUAULfVu3Ht7F+LxFBprqzS+a2MhhIAlQGsmQE3NRTOKqeIXglwpQvX0tK3bV1JzoIooyUinUuhr9WBTRz02ddTCyRPs2qAsPk8cHwaAvE8SozMLmI+mUO2yVcQMqNVYVPLNJ5DK0TKRL/nWJs9cVQLUno2NJV9zV1/DYj0xGElpMkZFFOWlKboVsgFp8DrBcwwi8TTCKxRxpVDMdOTnz45BpsD+ba15T79+2wHlFPUfx4YXP4e3/AmKyjLczuLUddUuO/7wfbejzuPA0GQIX37sLKbmYuhpqcFffOR14FgCG89UZPpnJewyS/+puVhJUvN83vBa15+SiRR6W72wZ6xaOJbBN778D5i9dhwA8Py5yUVz0Hympb58QSnwb+uug7e6sgQSKt0Zm5mZUFyzuVD51CYFUVp8fbUIUDzH4raNik/j2cEZTQLU8HQYgiijocZRMfZkLLP0GR2eCmn2vKm0CJbNP0BRSvFcpnn6DXtyeyuq7N/WgjqPA+OzC4v+lqSE+XPrIkDZuNLcxXf3NeIvPnQnfucdu3Dnjlb82l19+NzDr4evxolYLImOzHC4SodjCVrqtZGaK5LV/AKUFvWnhVgSnU3VNxTv1WmpP/qXzwGguDQSxMc/kf+01BczAeq2DQ0VuwFRi//+YEyT/qF8x6dcvh5ESpDQ1ezJe3edi31qX1v/tCbpyovDikNINq84s6KO3RjWsBdKGfOefxnk+nQEYzMLqHLy2LMxf4NnjmXwuszMthfPKT2mDMMgUeTpvnLa5rOQTAmoL1G8YONZbO6sRW2NC7+2LNeaTKXRVOda3LFXOjaeRVOdKjVXVIvFBqhcXm0z8zHMhrSpP0myjCo7e9MpWZ2WCgCPD5xHTccufP+Jk3lNS02mRJwa8IMA2KuBw3q5qHHb4XbwiCUFzEVS6CrRizeVFvMax3Baw/Seyu2bmsAwBBdHAggvlJ7eurCYYq4MgYSK2qw7ruHgwkRSBM/nf4p87qxyenrtznbwBU5veO3Odvz4+UG8dGECH/61XYpLfUIoykas4k9QoqiNeWutx4lqB4NoTJlQGo0l4LYxmu0OzYDLxi32+kzNxSDLtOgCZiKHV5t6etKi/hRPpNFcv3oNUA1S88OvAAB8m+/Jy6n6xIAfaVFGd4tn0TKoUlmSmpe+oMVTQl4CCXX45O4N2gX3apcN27rrIcsUp6/NltwGoXosahlEjUAVSqj9ilpQSM+jLFO8cFY5/ainoULoa/Oiuc6N0EIKl4YD4FgGyVs1xccxRDPz1tYGDza116LJY8em9lq0NlRG70S+OOwcHDYWHrcNaUFCcCFZtBVJrsCmlb0RpRQOjmRNwak1p+DQK5CEJKqaNuCjf/AnOdN7L2XSe7s3NMBTwf1tABZrFloEqFhSyJnuDEVTGJkKw8Zr406/nP1blTTfmcHZkqy4EikR1ybCYAiwuwADWzOglhSm5pZaB9aa3ZUPhXzGr03MIxBOoL7GiS1dhb++hBC8dpeiynwhk+YrNlNT0spOCPkNQshFQohMCNm7xuPeRggZIIQMEkI+Vco1lyPJMpx2bWsHLMvA63FWnGN5Pth4DrIkLzYDTswuKOacRUh6c73htKo/xRPprBN41eB09OhR/P7vfhTvvnc7AOAXZ2bWnJZKKV2sP92xpbmi2weAJSXfVDBecv+QKNGcv4+LQ4o0f0tXnea1u32ZAHV2cBahEtJ8/dfnIFOKtoYqVBXYH1luOjMByj8fR1qUEDkewbHeY+j/zX6M/PkI+j/Yj2M9xxA5np/bhCTJedUVVY5fVnoK921pLjr7cfcu5eR17OIkREkuOlNT6ip8AcC7ATyX7QGEEBbAFwG8HcA2AB8ghGwr8boAlPqTtwK7/8sFwxAwBGjPfADGZxbAc4V7n8kyhbzGCUXL+hNDKFxZFJqEEHi93sWa069nXOpbtr0Bzurs01LPDQUwGYii2sVj/9bSByiWm97MGInpYKzk/qF8FpLFzYcOvUVNdYqtWCIl4tTgTNHPczGT3qukAZQqbQ1VYIgyRy00k8g5uysXKaGw4ZMn1ACV2SwUQ2eTB22+KizE0+gfmYMMUlSQKilAUUr7KaUDOR62H8AgpXSIUpoG8F0AD5RyXRVZKl5efqvCssxiCmFsJgK+CK+sXCaxi/WnntLqT4IoweNcu3v98OHDizWn7T316G2tgUg5bL7rvTedoNR//+AZ5S37ht3t8KyDDU5vpodrei5e8ohtKY+t9oXMCWqnTuMr9m1RFsZXLhXnDgIAlzIKvi1dlSWQABTJfVOdG5QCg4+M55zdlYtoIv8pujPzcYxMheGwcSWNJyGELKkyL0+BZQmSRahMjchjtQEYW/bv8czXVoUQ8jAh5AQh5MR8cO1fPs+Sik/PGA3HELQ3Kimh8ZmFosw54ykR3BpWOFrZGyVTAurz8FdU3wOEELzv3s0AgB8+N4jJmaUUyOHDh3Ho0CHMhuJ46uQYCAGun/xJXv1SZmfR1Xw+hmgJ/UNpQQJybCiCkSQmAlE4bCz6inAvzwd1YTt5ZQayXFxqSFXw7amw+pNKZ5OyiQxdXlsokWu2F1CYSezJzOlpz8bGkoeLqiew45emwLPFudTnDFCEkCcJIRdW+ZPvKWi1d3zWbRql9MuU/v/tvXl0XNWZr/3sc2rWLGvwIIMnbAZbFrYxYMwYhoQEaGhocCe+CYRLA6ERzgfdyaK5cRJyFwlcjIG+yaK5SdMJwaSbOCFAJ7Y70GAIYGPkeRayLU+a5xrOqdrfH1Uly3aNqlOqktjPWlp2Ve06Z9d03r3f4ffKBVLKBWXl8S9wZjBEQZLVteJ07DYxmCV08HhPRDQ2vbhFeEWWPIPvvAxdQHaNtH8kN14ynfHlHo629/O7Dz6jz+sfrJdauXIl9z76HGYwRBE9/OKff5xSvVS+U+i2U1boxDBDGSVKeP1G0hTz7Z9F40/jMpY3Goo/YNLb76O3z8vkykLKilx09PgGv0vpfEYtnQMc6xjAadc5e5QoSJzKGZFFZGtR4h1xst5ekF4G34ZdYfHfBWdn7vqeObmc4gIHxzsHONoxgG8YjSiTfsOklFdLKWfH+Pt9iudoBoaWItcAR9Ke6Sn4/QYlBcq9ly6FLgeFLhsep40+r0F3fwAzJNO6ABhmKO7O9aT4U/XwsyANM0jxMKr/bTaNe26YA8Dv1+9nz6Eu/AGTFStWcN+DD7O/O7wy3bTmF9TXP5hSSvpoICphdSiD2pl+n4EziaZlNuJPXl+AAodgZk0pZ59Rzos/XYnuDa/k//zpobTUQeBEkH/WGWVJBU7zlcmRHdTuaf6kvbuSYaZY9OwPmGxrbEMImDcrcwOla2LQ0G3YeXRY7X1GwsW3AThLCDFVCOEA7gBez/SgMjR6mwfmErfLTigkhyRK9KTdZjvRF96q+JPPb1A+zP5MX754OtMmlNDZ6+PZ1xrYcaCD5pYe+quvwu4pob+tia6mDWPGOMEJl9DhDAyUPxBMqk5vdfzJ5wtQ7NKZUFGETdcQAvx9HfzlrV8A8O7m5sFMzVR3u1EDVZvnLd4TEc3kOzrgZdZr58Tt3RVVoI+H3zCTum2j7DzQjhkMMW1iqWWthQbdfDuPjnyShBDiZiFEM3Ax8KYQ4k+R+ycKId4CkFKawAPAn4CdwG+klNszOS+Aw56ZvNHnFYddR4ZCTI64EA619KYlGhsMhkiUNxS9gGUaf7INw70XRdME3126kNJCJ9s/a2P5L/7Ct555mx1NHZjebvavXQmQMBV9tDEtIudzOAMXX7JYZFu3l6Pt/bidtsHMwUwIhSS6kIyvOCElFi28/h83XYrp7+dQSx8v/HJ1SuogEGlBH2m9Mn/W6CrQHUo0kel4xwDyXGfc3l3J8HqNhPHioWzZF/7t1loYt5s7owq7TWNvcycdfYG0jVSmWXyrpZQ1UkqnlLJaSnld5P4jUsrrh4x7S0o5U0o5XUr5o0zOCeH6J6d97NUpjQRCCHRNnJZqnmpR5IAvELdGTEo5GJzOJP4UCkk8Gda3zZ1eyT/9j4VUlLo52t4fVs4wvMwubcXXc5z6+npWrlw5ZozU9EnRVPMBDDP9qn0pZdLatmj907lTxllSJ9jv9TMphs6lEIKVzzxNZ1NYBLjy7NTUQSCsIdfa5aXI42BOlnqQjQQTxxWiaYL2Hi9dvb64vbuS0edLPYNv8/5wWn/tDOsMu8tho3Z6JVKGF6/eNIuvR+VV3h8wLJE3+ryi6+KkVHNNEwTM1C7S/V4Dhz22T7ylc4C2Lm/G8SefP5Bxc0ghBOeeOY7//T8v5X/duYiLJ3Qwr/wIP/vxdwZX6fX19ZSWxq+XGk1EBVGPtvcPK503YASTJkhYlfwC4UVmgVOPqXMZjTl17v8QgNIz5/NgfWoLiY8j7r1zp5RTNAztt3zBZtOYUO5Bysw0+QKmTMnV3tPv57Mj3dht2rDUIxIRdfN9ureVAV96iRKjUgU1XP+kDNRwsesakypP7KAg9aZiPiOILY7o5KA4Z4bxp1DQmvhiZVkBQoDTrjHjrr+lothJQURVIGqkxoJxgnBnXV0TdPb66Oj1pX1x7vcl1+CzMv7k9fqZEaOIdqg6yIMP1rNdc9DNOH71+5fQtWVJP7OPd5yIP1nRgyyXTK4q5nBbP4cjkkfD+a4aZohUNGK3Rhp3nnPmOJwWq4NEEyW27G+lq89PdRxdzViMyh2UTROj/suXSzwuO8UeBy6HTlefn55+P8Fgapl8gQQJEtstij9ZGV+sKC1g+sQSZk0up/KUppNjxThBuM3BYB+hI6lJ4AwlWelAS+cAxzsHKHDZmTIhs/iTlBKXXYsZYxyqDvLMMyu4at4ZAFx64524C8sSfmYBI8iG3SfqeEY70cSXY50DaSUxRQkGQwRTlL6KdpaONv+0kvJiNzNqyggYQT7Zm546yKgzUFJKyy38540Cl51QKDRY4PnZ0W6EpiVVIZBSxv3CWxV/ChgmRR5rU4OdDtvnYkET7Q114Hj6BipR6QCcqH86d+o49AzfS58/wLgEGZpD1UG+fPFUAPpt1dzxjfsTxtfWbznMgM/kjOoiZo5CiaNTibptj3cM0DOQvi7hgC+QkjI9wJaIrFTt9OwY9gsiu6hPdrekFSMddQbKHzCHVR+jOIHTYSMUCg1mYjUe6cLhsNHrTfwjCBhBhIj9lbEq/uQPGJQWjp0WJyPJzJqwssOB471pPzdl8V8L4k+hUIjiJC7IqLGsnV7JlPHF9PQH2NLYTuPh+Knmv1u/D4BFsydROAZi1FEDdaStL+3YDUB3vx9Hkro2CGs4Hu8M1y5OtSA7MxYXDKrUt9DZ40v5eaPOQBlmcEx8+XKJpgl0cULDrfFwVySTL/GPoKffjz3O7nVw95Rh/Mkm4rfWUCRuuzBzcthAHUzTQIVC8XfGEN4db7XIfRsMhSh0pR76FkJw6+VnAfCnjz/D7nRwIEYr9GPtvXy88xiagEtmj7dU5SJXTJlwQpJsOC3T/UYoaV0bnNg9zZ5WmfHuOB5nji+mstRDT3+ATZFml6kw6j5Fm2BMfPlyja5rgzuoaGvpZG22w72CYl9cBuNPGa6wHap8IC7J2i5Ekw6aW3vTcqP4AkZCtevjQ3fHGarTe30BKstit0+Jx42LZ+B22th9sIPmll4MNPYf7hx8jYYZ5N/f2UswJJkzvYoJaQTh85nyIheFbjsDfpO2Hl/a5RDJfs9RovVPcy1ML49imkF8fgPDDHJBpHPAxzvHsIFKt/2wIjZ2m0ZNVTE2XYu4EAyMJIkSfiP2Fz68wj6RwTdc/AGTIuW+jUnQG0zadqGmqgi7rtHe46O9O7mIaJSePj9OR/y4X3TxkenuGEAXMmZqeSLcThtXnh/uL/TrtTtw2m3Y7A72He5i98EOdh/qZP3WsHraojkTKC8aGx4WIcSQ5oUDaTVw9BsmpJAEFApJtgzWP1mbINE/4MMmQlQWOSh0CGZPCSvLb9rbknIpxKi62htmkAL3qMyMzzs8ThtShgYD601HuxNKHhlmMG4PqMOtfbR3eykpcGYUfwoYBkWjrLncSNG2ui1p2wWbrjG5Krx72HWwI+VjDwSCCb0SVsWfgqEQHufwfr9fv+5c3E4bn+w+zkc7jqJpgsICNx6Pi492HqfxSDelRU7mzagcdQ0KExFtRtnS7aWrL/VEib6BADZb8vf6s6Pd9HkNKks9cRuDDoe+fh/jyz1Mri6htNhN9bgirrvgTNxOG4db+9gR6deVjFFloAKGSfEY+vLlkiKPA8MMnpQoYbPp9MWRxO8dCGCPU6C7OeLDnntWVUYrbE2g4k9xSNZWIfr4jJrw57mv+fQ4TTwSuYJOij9laKB8foPyouElwEyZUMptkVjU/3tjC/2RtiKdvT7+7Y9h5bRvfrmWkgLHmCofiMaJj7T24fWn7rbtGwgkFf4FTto9WfW++QMG5YWO05rJFhe6mD8z7Eb8782HU6q9HFUGSgZDKb3piuQ4HTbkKZl8Todt8Id/Kr39/rjvfUMk6JmpD9up3LdxSdZWIfr4rMlhN0pTiqnmZpJ24Efb++no8VHscQy6m4ZNKBS3O3IyNE1w3cIzmT6plPZuL99+9s/87r29fP/n7zPgM5g3q5p5s6ooGwMNKIcyfeKQuGIwlHIcyp9u/Mmi9HIpJSHTpCrObuwL88N1bZ/ua+Xgse6kxxtVVwS7TQnEWoUQApsmTmTyHQl/WXxxWobH+8IbZnDQBZSJgfIHTApVd+S4VNxckVLbhagmX6qZfP3eALYEC4OoesR5GSozSClxOTLbHZcUOnnwtvlMnVhCa9cA//af2zh4vIfyYhf33DiXoBEcEx2ShzJ9SOKLpmv0e5PHoYLBUNKyAQiXjexsirhvLRKI7ff6qaksinudvqJuMnZdY9eBdo53++joSewZGDUGKhSSSiDWYuw2jTPGl6BrguaWHrx+g5AU4QDrEMxgCDNOGvLugx34jSBnji+mvHj4FwfDNCkZYxcXK9HdOnP+MCdp24UZkVqoQy29KXWj7e7344zjugXYblH8yRcwMt7djCvxUOax8+P7ruBr153LeVMruO/m8/nn/+9aKko8eJz6mCvIHl9egNOu09XrxwxCV1/yGqKuPh+OBEkvUXYf7CBghuPQVrXXsGkk3CUXehxccE41UsLG3S0c6xhIKCA7aq74fsOg2KI3URHG47KhifAqLSRh54EOXE7HaRlgbZ39uJyxv3QNEemSTN17mpQq/pSE4guKk7ZdqCp1U+Cy0+c1ONqeuF04QMAIxb2ohzO8rNHfCxpBijKsX7Tp2mCS1C2Xz+KH//NSrrlgCk67Tr/Xz/iKsZFePhRNE0yMSFgdaevDG0i+6Ojqi++OH8oWi9XLvT4/VaWepONuWDQdgPc2H6KwwMVnx+Lv9keNgTLNIIWqQaGlFLmdBAIm50VSw7c3tmLTNfqGuBGklHT2B+L2Ztq0x5r4U7wCYMXJJGu7IIRg5uSwWyhqXBKRKFB94HgP3f1+yotdg+LCw8Vu0yzZ3UwYV4jPd3I2WygkcdtF2unro4WaSGbmoZaecMwwwWcmpSQQpxzkVAb19yxy74WCoZS8IJfOrcHjtPHZkW4Ot/bicNgRQo/54Y0aA2XThCU9aBQniEoeRbXzomoQZojByvWePj96HON0vKOfpqPduJ02ZmewwjbNIJ4M4xOKE0TVHqK1afHw+gxIoDQwmJ05oyqj2G8wFMLlsOa3a7fpFDhtmJEi3dBAkNaXjxL6l87TlDXGClEJq6ajPTgcdtq6B+KO7R3wo6WQbNTvM9jf3ImuCc6dkrk6vWEGKS1IbQPhtOtcdF5Y+ujdhuaEY0fNFd+hMrwsR9MENl1wzpnlaJpg/+EuvH4Tt9PBsfY+AkaQlu4B3HHcex/tCBdHzptZPezutxAuKlTxJ+uI7oj3JEk1b+8ZwOWMH6vYss8a963fb5yWcpwJNVXF6ITo/EsHTfM30/ftZg4tP3iassZY4ewzw5mZnx3twmG30Z2gHqqz1x/39zqU7Y2thCTMnFyOe5i1aUPxpakQcv2FYRHgdRubEso4jYqrvsrwyh4Om4bbaWf6xFJCIcmuA+3YbDqBkGD/0W6IIw4L8NH2owBcdN7EjOYggyFcFvxIFGHOmxJuOLev+YSwaqz05AG/GVerLWAE2RHZUWcaowj3b7Pu96tpgkklhfTcfQDZdnJCz1BljbHCOZEGgk1He8K6iVLETCyQUuL1myntdgdjixa59xy29Dxcl8yZyBnVRXT1+Vm/Jf4ualQYKNM0KUpx+6hIjyKPA3/A5LyIi2575KLkdNgo9LjiJkd09frYdbAdu01j3qzqjOagyges5afPPokdg36fQdPR7sEmgMuXLx8cY5hBzFD893zXgXYCZogpE0oyzvCysr9XlLbVbZgtiZU1xgrV5QWUFjrxBUyOd/bjcTtp6To9Pbu1qx97Ctl7MFR/L3MDFTBMitO8PttsOl+JtFJ584P9cceNCgOFTF+/S5EaxQVODMMYdAtF616S8fHOo0gZDrC6E7iJkhEKScviE4rwKrq7u4vWA1sB+HRvy2CH2q6uEzuqzl5vwkyvE/GnzC5gZjBEQRZ2x6kqa4wVopJknx3pRtMEA37zJEHgUEjS3uOPK+Y8lI4eL82tvbgcOjNqyjOemz9gUF6cPHvvVC6rnURFiZsjCbJNM7oyCCFuE0JsF0KEhBALEoxrEkJsFUI0CCE2pnseJRCbPew2HV0Izp0yDpuusbe5M2nxHDC4Lb8wQ/eeP2BQotqnWEa0lX3ULfft//UkK1eupL6+/qR26b0D8ZXpYWh2Zma7Y3/AoLTI+vhiqsoaY4WoJl9TRH3B43ax/3AXoUh94rGOPpwpxJ7gRHv3c6dUWHJttWtiWB0myordfDESi4pHprPbBtwCvJvC2CullHVSyriGLBZmMGRJEE8RH4c9HIeaPytcQPf+lsMJxx9u7WVbYxtOu87FsydldO5gMEiBWxkoKxFC8PD9SwEoqAhfAIYaJzMYIpBACqels58Dx3pwO22cN3VcRnMJxxet7ZAMqStrjBWmTzgh6gzhOJzT6WD3wXb2HGqn1xtMOVHJyvbuhhlM270XpcjjYHHtJP768plxx2RkoKSUO6WUuzM5RjL8AUN10M0yxQVO/AGTS+dOBuDdzYcSjl+zoQkI1zMUuDK7+Ng0Meaq/3ONlJJfvfB/AHCVTkJoNpYtWzbo3jtvLO0VAAAgAElEQVTS2ovLFX9RsGHnMQDOPyuz7EzIXn+vVJU1xgrRZpTR3m0QjuMUFnpwu90paxxKOaT42gL9Pb8/QNkwBYDtNp0it86tV86KO2akfGcSWCOE+EQIcU+igUKIe4QQG4UQGzs72pAhazOAFKdT5HEQMEzmnz0et9PG/sNdHGmLXd0dMIK8/ckBAK5dmHh7ngyp1CMsJ5oQ8X+ffRq38KLpNpbc9ygrV65k2bJl+AIG/f7E7TU27ApnZ0YbzA2XbHs/UlHWGCtMnVSK067T3u2lpz/1thuncqQt3BqnuMCRUWucKJqWWQeCApc9bhsfSMFACSHWCSG2xfi7KY15XCKlnAd8CfiWEOKyeAOllC9IKRdIKReUlVdg11WGV7ax23R0TUYK6MIxpfc2x079fH/rYfq8BtMnlQ7qvg0X1aDQeoQQlJaWUl9fz01X1gEwa8F13P/3yygqLqW5pRdPApdqv89ge2MbmiaYNyszAxUIGJRkOfs2mbLGWKHAZWdydVjNo/FI6q1UTuWEdFVlxp4LKSWuDJPXKko8+BJo8SU9upTy6oxmED7Gkci/LUKI1cBCUopbSdUCfIRwO2wEQyEunVvD25sOsubjJm64ZAaeIS48X8DklXU7AJIGN1PBMEyKPGNPPy3XLF++HCklH2w7wqo/72ZHUwePLXsUTRNoNnvCC9One44TDEnOm1qR8eIhGAzhUfJkluCw6UyfUMK+5i52Heig7qzhJa9EW+NYob/n8xtUl2WWAON02BAigx1UpgghCoQQRdH/A9cSTq5ISigkLVPZVSSmqtSD1xugdnoVZ00uo7PXx6r/2nnSmN/8eRdtXV6mTizhivPPyPicuiYyjnEoYiOEYP7Mauw2jcYjXUihUVjgSvp+f7A1nCCz4OzMdk8QLgJX3g9rEEJw9hnhlPBdB1PrRnsqfiM4WP80b2Zm2ZkAQTNIkQUJTolyDDLanwkhbgaeAyqBN4UQDVLK64QQE4EXpZTXA9XA6sgX1Qb8Wkr5x1SOL4HCU94AwzBobm7G50suO69ID8MM0tMreOTGM+joqeRwh5/G5nam1Yxj+2dt/GH9PoSAe2+qs0QXUclXZReX08bc6ZVs3H2czftauKxucsLxvQN+Nu46hiZgcW1NRudW9W3Wc86UsIHac7CDYDCU9m9we2MrfiPcRXtcSeZp+HabNQlOlSUeJLEDURkZKCnlamB1jPuPANdH/t8IzB3O8TXBaW9Ac3MzRUVFTJkyRa3OLCZgBJGAAFq7BhjX2sbWvQf4tzU72bq/FSnhugunctbkzIv7DDNIgUuVD2SbRbMnsnH3cRr2Hk9qoNZH2nDXnVWV8QXMFwgwsWxs1SLlmooSN+PLCzjW0U/TsW6mT0ovBrxxVzg704rdsRkMUZhhBm8Uj9sBMhRTmyqvlzixdMJ8Ph/jxo1TxikL2HRtsPBvXImH8nHjmFjuZMu+VoQQ3HL5TO768hxLzhUImJYKiCpic/HscNJLw94WgnGaTkZ5+9ODAFw178yMzxs0Q6q+zWJcDp1ZUTffgY60niulZOPusIGab4GBylYB9qnktYGKlwqrjFN20DRB9K3VRLib57gSN397zbk8+a0r+dp151kXM5KhlJqqKTJj+sQSxpd76OrzsylygYrFweM97GvuxOOyc8G5EzI+r11X9W1W43HaOKsm3OtrZ1N6caiDx3to6/JSWuhk+sTSzCcTyk4B9qnktYFSX/CRR9cEQxfauia49cpZTJ1QYul5VP3TyCCE4IsLwzuiP370Wdxxb/0lLNh5yZxJODP8bFR9W3ZwOe1MnxT+He462B5ToT4eH+8I17bNnzXekuvqSMnP5bWByleEECxdunTwtmmaVFZW8pWvfCWHs7IGm66l9cUfDmYwpBoUjiA3XDIdu03j0z3HOdbed9rjR9v7+K+NB9BEeGym+AImJaq+zXLsNp2J5QUUeRx09Pg43hFfZHUoUsrBusZMtTMh3GA0GwLAsVAGahgUFBSwbds2vN6wqOratWuZNCkzTbp8QQiBJsIZlNnC7zdUg8IRZHx5IRdF3HZ/+vj0XdSqdTsJhiRXzDuDmqrM1QVMM0ihEgDOCjabNtjDKSpJlYymYz00t/ZS5HFQd5YF8kaGOSLxJ8gwiy/XXHDPy1k57oYXvpp0zJe+9CXefPNNbr31Vl555RWWLFnCe++9B0B/fz9///d/z9atWzFNk+XLl3PTTTfR1NTE0qVL6e8Pr3yef/55Fi1axDvvvMPy5cupqKhg27ZtzJ8/n1/96lc5i7XZdI2AGULPkotVhlSDwpHEYdf5wrwzeG/LYf7zw8+4dO5kpkXiELsPtrN+SzM2XfA3V51jyflsIn78WJEZNl3jonMn8sHWw3y04wg3LJ6R9DnvRbQ1F82ZZM3nMkLxJ1A7qGFzxx13sGrVKnw+H1u2bOHCCy8cfOxHP/oRV111FRs2bODtt9/mkUceob+/n6qqKtauXcumTZt49dVXefDBBwef8+mnn/LMM8+wY8cOGhsbef/993PxsgDQdY1smsZsNLBTJGbm5FK+MP9MAkaQJ375IS2dA+w60M4Pf/EBUsKXLppGVVn6PX1iodRfsodNF5w/swqbrrHzQDtdCdq/Q7gebX3EvXfZ3Mxq26KMZHxxVC9jU9npZIva2lqampp45ZVXuP766096bM2aNbz++us89dRTQDg1/uDBg0ycOJEHHniAhoYGdF1nz549g89ZuHAhNTXhL1BdXR1NTU0sXrx45F7QKQgtO26+YCiEU13ARhy7TeOem+bS3NrL7oMd3PvknwYfu3j2RJZ+cbYl5/EHTEpV/ClrFLjsBIImtdMr2bTnOBt2HuWaC6bEHb/zQDtt3V4qSt3MOiOz1ikQdt+OZPxYXSky4MYbb+Thhx9myZIlJ90vpeS1116joaGBhoYGDh48yDnnnMOKFSuorq5m8+bNbNy4kUDghEii03nCZ6/rOqZpjtjriEW2kiV8PoOyEfJfK07gcdmQUvIPX72Q2dMq8Ljs6Jrg6gVn8u3bL7DMJWeYJsUq/pQ1PE47phnkwvPCMcWPdhxJOD7aTv3yusmWZO/5DXNE48ejegeVa+666y5KSkqYM2cO77zzzuD91113Hc899xzPPfccQgg+/fRTzj//fLq7u6mpqUHTNF566SWCwZjF03mBrmkEZPymdsNFhpSAaC4ocjvp6OujrMjFD+6+FAi7f6wu5dBUinlWcTpsSBnigrMn8DPRwJZ9rXT3+SmJoVl6uLWXj3YcwaZrfOmizLMzIdqAcuTMhtpBZUBNTQ319fWn3f/YY49hGAa1tbXMnj2bxx57DID777+fl156iYsuuog9e/ZQUFAw0lNOixhCHhljtwkVf8oBLqcNGTp5wZGNOkO7Mk5ZRdMEmhCUFrmYN7MaMxji9+v3xhz7u/f2IiVcOe8Myout2fWMdPxYZLvmJRMWLFggN27ceNJ9O3fu5JxzrMk2UiQmGAyxfcdOyiZk3loDIv5ru6B6nGqxkQv2HurA5c6ee8YwgxQ6BVVl6vPNJvsPd+JwOtnb3Mk//t93cNp1fvrIdSd1fmjpHOCBp9cQDEmeW3YNEysy/0yCoRA2gtRUWVu0DyCE+ERKueDU+9UOShGX8ArbugWMzz8y+l2K2GS7+j8QMCkpUJ9vtrFH4sNn1ZSx4Ozx+I0gv3/vRMKVYQb5P6s+xgxKLplTY4lxgsjvd4TrF5WBUsRFCGvdcQKp9PdyiMdlwzCzGPdU+oojQoHbTsAIf463f+FsAP6wfh9/WL+Pfp/BC69vZu+hTipK3dx9Q61l55XBEAXukY0fKwOlSIgmBL6AYcmxVP+n3FLkdhIIZC87VCVHjAwepx0jkuU7fVIZS64+h5CEX7y1la//8A3+a+MB7DaNf/jbCy3NqLTnoAGlWu4oEiKEwDRMcGRWOe7zG4xT7r2cEitRwipGuj7m84zTYUMOUXS+7aqzmVhRyHOvbcIMhjj3zHJuuXwmM2rS6xeViFBI5qQAWxkoRUKECLdOyBTTNCkpKLJgRorhIoTAZsFnGQt/wGSCSo4YETRNYDslA/OS2hpqZ1SiaRoFFjUSHIrfMKguHfkF5pg3UMGBIG2r2/B+5sU9zU3FzRXobrXSS4eSAifdXjOj+IJNE5a0iVdkhsOuI6W03lUjR06fTQF6jIVGkSd7BdKmEaQwB/WLY9pA9WzoYesNWzGOn4ih2KvtzPnDHIovSF+1ub29nS984QsAHDt2DF3XqawMKwt//PHHOBypfYA///nPuf766xk/PvPOlqtXr2bfvn088sgjccc0Njby8ccfc8cddwzrHGXFblp7OodtoAwzSLGSv8kLSjwOWnsDlhsTFX8aWew2LTsLjTjY9NwsMDM6oxDiSSHELiHEFiHEaiFEzFaNQogvCiF2CyH2CSG+k8k5UyXoDZ5mnACM4wZbb9hK0Jt+NtO4ceMG5Yvuvfdeli1bNng7VeMEYQN17FhqUvnJuPnmmxMaJwgbqFWrVg37HDZdw5GBa8jvD1BW7B728xXWUVjgtDyTzzCDFLrH9Fo37yh2O/BnMeFlKFLKjJtYDpdMTeJaYLaUshbYA3z31AFCCB34Z+BLwLnAEiHEuRmeNyltq9tOM05RjOMGbavbLD3fSy+9xMKFC6mrq+P+++8nFAphmiZLly5lzpw5zJ49m2effZZXX32VhoYGbr/9durq6k7S4wNYvHgxDz30EBdffDFz5swhWqjc1tbGjTfeSG1tLYsWLWLbtm0AvPjiizz00EMAfO1rX6O+vp5FixYxbdo0Vq9eDcB3vvMd3n77berq6nj22WfZunUrF1xwAXV1ddTW1tLY2Jj09ZUUOIf9g9A1tcLOF2y6hs3iRXcgoPp7jTQetwNzhKTS/DlsQJnRskdKuWbIzQ+BW2MMWwjsk1I2AgghVgE3ATsyOXcyvI3ejB5Ph23btrF69Wo++OADbDYb99xzD6tWrWL69Om0tbWxdetWALq6uigtLeW5557j+eefp66uLubx/H4/f/nLX/jzn//M3XffTUNDA4899hgXXnghr7/+OmvWrOEb3/gGp6psALS0tPD++++zdetW/uZv/oabb76ZJ554gueff57f/e53ANx33308/PDD3H777fj9/pREYcuL3bR2p+/mM80ghSNcO6FIjNXZWEJKnHa1gxpJHHYdMUIqQEYOG1Ba+U29C/jPGPdPAg4Nud0cuS8mQoh7hBAbhRAbW1tbhz0Z97TELqVkj6fDunXr2LBhAwsWLKCuro7//u//Zv/+/cyYMYPdu3dTX1/Pn/70J0pKUpMIiaqjX3XVVbS0tNDX18f69esH28xfe+21HDlyZLDx4VD+6q/+CiEEtbW1HD58OObxFy1axOOPP85PfvITDh06hMuVfPWr69qw2mR4/QaVpdb0GVJYQ4HLTsCwzj2kdse5YaSaQuayAWXSswoh1gkhtsX4u2nImEcBE4jV4jaWQyGu6ZdSviClXCClXBBNQBgOFTdXYK+OHQi2V9upuLli2Mc+FSkld91112A8avfu3Tz22GOMGzeOLVu2sHjxYp599ln+7u/+LqXjnRr4FEKctsuJt+sZ2rYj3pilS5eyevVqnE4n11xzDe+++25K8yovcqVdtOvQwW5TF7B8orjQiWGRgfIHzJhK2ors47BlpyXOaefJYf+2pGeWUl4tpZwd4+/3AEKIrwNfAb4qY79bzcDkIbdrgMRNTCxAd+vM+cOc04xUNIvPylTzq6++mt/85je0tYXjWu3t7Rw8eJDW1laklNx22218//vfZ9OmTQAUFRXR29sb93ivvvoqAO+88w7V1dUUFBRw2WWX8fLLYfu/bt06ampqUlZDP/V8jY2NzJgxg/r6er785S+zZcuWlI5TWuQimMaFzRcwGKeSI/IOp91m2YUtYBiUqP5POaHQ4xiUPMoW/oBJUQ4zcDNyHAshvgj8I3C5lHIgzrANwFlCiKnAYeAO4G8zOW+qFF9QzEWfXRSug2rMXh3UnDlz+N73vsfVV19NKBTCbrfzs5/9DF3X+eY3vzmYDvrjH/8YgDvvvJO7774bt9sdMz29uLiYRYsW0dvbyy9+8QsAfvCDH3DnnXdSW1tLYWHh4P2pcP755xMMBpk7dy7f/OY36enp4ZVXXsFutzNx4kQef/zxlI4jhKC0wMGAGUxpVxQ0TEqL0k/nV2Qfl0WrYruqb8sZBW47xzu9WdU/NAyD4hy2Bcqo3YYQYh/gBNojd30opbxXCDEReFFKeX1k3PXAM4AO/FxK+aNUjv95bLexePHihAkUI82p73cwGGJPcyeFBYl3RqYZxK6FsiLNr8icjh4v7RnWQ5nBEE5dMrFCKYTkip1N7RQWZs9L4R3wMfOM8qwdP0q8dhuZZvHNiHP/EeD6IbffAt7K5FyK/EDXNQqcNoKhEHqCjoY+X4AzJlunBaawlpICJ8c6BzIyUH6/wYRqJW+US2xZFmDOZfwJxriSxGhk/fr1uZ5CUiZUFLKvuSvuyi1gmJQXOZXrJ4/Rde00Pbe0UfJGOceRRUUJf8CkrCC3JSLqCqJIG7tNp7rcg88fOO0xKSX+QICq8vxuZ68Aj1MnOEx1cyklbqVennNKPA58WVKUCAQMS9t1DAdloBTDorzYjY4c7EsD4YtWb5+XaRNKRrxvjCJ9xhV78PmH1+trwBugolRlaOaawgInZpaaUOpa7ktElItPMWymTizlaHsfXf3ecGWbkEybUIwrw95RipHB7bKDHG5/qBAFbpVenmuyIV0F4cWmKw8KsJWBUgwbIQQTK4qoKAmG+0apgtxRR6HLhpkk4eVUgqEQHqe6dOQL2Uhk8BsmlXlQgD3mXXypKjCkg67r1NXVcd555zF37lyefvppQkl8+U1NTfz617/O+Nz5iMOuK+M0SqksK8DrOz2WmAivN0CVkq/KGzwum6XSVQCmYVKUBwXYY9pALV++nGXLlg0aJSkly5YtY/ny5Rkd1+1209DQwPbt21m7di1vvfUW3//+9xM+ZywbKMXoxWm3kW4nFU1Ilb2XR5QUuAhYnCiRLw1Gcz+DLCGlpKuri5UrVw4aqWXLlrFy5Uq6urosk3qpqqrihRde4Pnnn0dKSVNTE5deeinz5s1j3rx5fPDBB0C45cV7771HXV0dK1asiDtOoRhpSgocKa/A/QGD8iLVWiOfcDpsiPjypmkTDIVwO/PDIzJmHclCCFasWAHAypUrWblyJQD19fWsWLHC0iyzadOmEQqFaGlpoaqqirVr1+Jyudi7dy9Llixh48aNPPHEEzz11FO88cYbAAwMDMQcp1CMNBUlHtoPdeJIoWWGaZhUTFDyVfmG3cKCXZ/PYHJlfrhwx6yBghNGKmqcAMuNU5TojswwDB544AEaGhrQdZ09e/bEHJ/qOIUi2+i6RmmhA18SjcWAYVJa4FAlBHlIkcdOr89MaZGRFBnC48qPHm5j1sUHJ2JOQxkak7KKxsZGdF2nqqqKFStWUF1dzebNm9m4ceNpHXOjpDpOoRgJqssK8CVJlvD7DSrLVAF2PlJW5CaQZiuceDhsWt4sQsasgRoac6qvrycUClFfX39STMoKWltbuffee3nggQcQQtDd3c2ECRPQNI1f/vKXBCNtmU9teRFvnEKRC3Rdo7wwfizK6wswvtyTF4FzxenYbTp6ptJVhFvklOVRjHHMuviEEJSWlp4Uc4rGpEpLSzNaIXi9Xurq6jAMA5vNxtKlS/n2t78NwP33389f//Vf8+///u9ceeWVgz2bamtrsdlszJ07l2984xtxxykUuaJ6XCH7D3diCoFtiKvPNIM4NEm56u2V17jsOqGQRMvAUJkBk5LC/IkxZtRuI9tY0W7jVCHFbAkrjlXGensTxcmEQpJ9zR0I3YbTYcPnD6AhmTaxLKMLnyL79A34OdwxgMc1/PqlgN/P9Ekj34UgK+02RgOx2qcrFIrYaJpgRk05PX0+ugcCVJW4Kc0jl48iPgVuByGzb9jP9wdMyvJAPWIoY95AKRSK9NA0QWmxm1Ll0htVCCFwOYbffiMQMCjNs/5eKuKpUCgUY4RxJW68MdrgpILTruVdEkx+zUahUCgUw6a4wIUMpq9Q7/UFqMjDHbMyUAqFQjGG8LhsaTeiDAWDFOdZ/AmUgVIoFIoxRSpF10MxgyEK3ba8TCDLKElCCPEkcAMQAPYDd0opu2KMawJ6gSBgxkonHC6HWrrxBYbbdO10XA6NyVUlCcccO3aMhx56iA0bNuB0OpkyZQrPPPMMM2fOTOtc7733Hvfeey92u50333yT+vp6/uM//uO0cVdccQVPPfUUCxZY9rYpFIoxitNhQ0tDPNbrCzBpYuJrXq7INItvLfBdKaUphPgx8F3gH+OMvVJK2Zbh+U7DFwjhyiDv/7Tj+fwJH5dScvPNN/P1r3+dVatWAdDQ0MDx48fTNlAvv/wyDz/8MHfeeSdATOOkUCgU6TKhopDD7QNJux4HQyHcdoEjD7rnxiIjF5+Uco2UMqqN8iFQk/mU8pu3334bu93OvffeO3hfXV0dixcv5pFHHmH27NnMmTOHV199FYB33nmHK664gltvvZWzzz6br371q0gpefHFF/nNb37DD37wA7761a/S1NTE7NmzgbBSxR133EFtbS233347Xq938Fxr1qzh4osvZt68edx222309YXrHqZMmcL3vvc95s2bx5w5c9i1axcAfX193HnnncyZM4fa2lpee+21hMdRKBSjnyKPE53knqWBAT81VfmjHHEqVsag7gL+M85jElgjhPhECHFPooMIIe4RQmwUQmxsbW21cHrWsG3bNubPn3/a/b/97W9paGhg8+bNrFu3jkceeYSjR48C8Omnn/LMM8+wY8cOGhsbef/997n77ru58cYbefLJJ3n55ZdPOtZPf/pTPB4PW7Zs4dFHH+WTTz4BoK2tjccff5x169axadMmFixYwNNPPz34vIqKCjZt2sR9993HU089BcAPf/hDSkpK2Lp1K1u2bOGqq65KehyFQjH6GT+ukP6B+B4h0wxS7LHldTfspC4+IcQ6YHyMhx6VUv4+MuZRwARejjEO4BIp5REhRBWwVgixS0r5bqyBUsoXgBcgLHWUwmvIC9avX8+SJUvQdZ3q6mouv/xyNmzYQHFxMQsXLqSmJry5rKuro6mpicWLF8c91rvvvsuDDz4IhDX8amtrAfjwww/ZsWMHl1xyCQCBQICLL7548Hm33HILAPPnz+e3v/0tAOvWrRt0RQKUlZXxxhtvJDyOQqEY/RR5nBQ4fQSM09twSCnx+QKcMXnkZY3SIamBklJenehxIcTXga8AX5BxhP2klEci/7YIIVYDC4GYBirfOe+882LGihJpGjqdJ/zAuq5jmsm7l8bKqJFScs011/DKK68kPM/Qc8SqKk92HIVCMTaoqSoOCwBrGrYhRbh9/V6mTyrNu8LcU8lodkKILxJOirhRSjkQZ0yBEKIo+n/gWmBbJufNJVdddRV+v59/+Zd/Gbxvw4YNlJWV8eqrrxIMBmltbeXdd99l4cKFwzrHZZddNuj227ZtG1u2bAHgoosu4v3332ffvn1AuCtvskaH1157Lc8///zg7c7OzmEdR6FQjD6EEEydUIoug/T1eent9+Lz+pg6vhinFc0Ns0ymM3wecBJ22wF8KKW8VwgxEXhRSnk9UA2sjjxuA34tpfxjhucdxOXQkmbepXu8RAghWL16NQ899BBPPPEELpdrMM28r6+PuXPnIoTgJz/5CePHjx9MVkiH++67jzvvvJPa2lrq6uoGDV1lZSX/+q//ypIlS/D7w6/58ccfT5g9+E//9E9861vfYvbs2ei6zve+9z1uueWWtI+jUChGJ7quccb4EoLBEBJO2knlO2O+3YYiM9T7rVAosk28dhujx5QqFAqF4nOFMlAKhUKhyEtGpYHKZ7fkWEK9zwqFIpeMOgPlcrlob29XF88sI6Wkvb0dl0t1U1UoFLkh//MMT6Gmpobm5mbyUWVirOFyuQYLjBUKhWKkGXUGym63M3Xq1FxPQ6FQKBRZZtS5+BQKhULx+UAZKIVCoVDkJcpAKRQKhSIvyWslCSFEK3Ag1/NIQAVgeRPGPOTz8Do/D68R1OscS4yl13imlLLy1Dvz2kDlO0KIjVa2r89XPg+v8/PwGkG9zrHE5+E1KhefQqFQKPISZaAUCoVCkZcoA5UZL+R6AiPE5+F1fh5eI6jXOZYY869RxaAUCoVCkZeoHZRCoVAo8hJloBQKhUKRlygDNUyEEF8UQuwWQuwTQnwn1/PJBkKInwshWoQQ23I9l2whhJgshHhbCLFTCLFdCFGf6zllAyGESwjxsRBic+R1fj/Xc8oWQghdCPGpEOKNXM8lWwghmoQQW4UQDUKIjcmfMTpRMahhIITQgT3ANUAzsAFYIqXckdOJWYwQ4jKgD/g3KeXsXM8nGwghJgATpJSbhBBFwCfAX43Bz1IABVLKPiGEHVgP1EspP8zx1CxHCPFtYAFQLKX8Sq7nkw2EEE3AAinlWCnUjYnaQQ2PhcA+KWWjlDIArAJuyvGcLEdK+S7Qket5ZBMp5VEp5abI/3uBncCk3M7KemSYvshNe+RvzK1OhRA1wJeBF3M9F0XmKAM1PCYBh4bcbmYMXtQ+bwghpgDnAx/ldibZIeL6agBagLVSyrH4Op8B/gEI5XoiWUYCa4QQnwgh7sn1ZLKFMlDDQ8S4b8ytRj9PCCEKgdeAh6SUPbmeTzaQUgallHVADbBQCDGm3LZCiK8ALVLKT3I9lxHgEinlPOBLwLci7vgxhzJQw6MZmDzkdg1wJEdzUWRIJCbzGvCylPK3uZ5PtpFSdgHvAF/M8VSs5hLgxkh8ZhVwlRDiV7mdUnaQUh6J/NsCrCYcdhhzKAM1PDYAZwkhpgohHMAdwOs5npNiGGDWrzwAAADnSURBVESSB/4fsFNK+XSu55MthBCVQojSyP/dwNXArtzOylqklN+VUtZIKacQ/k3+WUr5tRxPy3KEEAWRhB6EEAXAtcCYzLRVBmoYSClN4AHgT4SD6r+RUm7P7aysRwjxCvAXYJYQolkI8c1czykLXAIsJbzaboj8XZ/rSWWBCcDbQogthBdYa6WUYzYNe4xTDawXQmwGPgbelFL+McdzygoqzVyhUCgUeYnaQSkUCoUiL1EGSqFQKBR5iTJQCoVCochLlIFSKBQKRV6iDJRCoVAo8hJloBQKhUKRlygDpVAoFIq85P8HyuL9pByEab0AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m = GPy.models.GPRegression(train_X2, train_Y2, k_combined_2)\n", "m.optimize()\n", "m.plot()\n", "print(m)\n", "ax = plt.gca()\n", "ax.plot(test_X2, test_Y2, \"mo\", mew=2, label='Test points')\n", "\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the above two visualisations, we can see the two kernels in action." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2D GP\n", "\n", "Having studied GPR for 1 dimension, we will now be looking at GPR for 2d data. Let us first create some dataset." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "X = np.array([[3, 2], [1, 4], [1, 1], [3, 4], [2,2], [2, 3], [3, 1], [3, 3.5], [2.5, 3.5]])\n", "y = np.array([1, 1, 3, 2, 5.5, 4.5, 0.5, 3, 3.5])" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((9, 2), (9,))" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.shape, y.shape" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:,0], X[:, 1],s=y*50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above visualisation shows the dataset where the size of the marker denotes the value at that location. We will now be fitting a RBF kernel (expecting a 2d input) to this data set." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "k_2d = GPy.kern.RBF(input_dim=2, lengthscale=1)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(9, 2)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.shape" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = GPy.models.GPRegression(X, y.reshape(-1, 1), k_2d)\n", "m.optimize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generating predictions over the entire grid for visualisation." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "x_t = np.linspace(0, 4.5, 40)\n", "y_t = np.linspace(0, 4.5, 40)\n", "\n", "XX, YY = np.meshgrid(x_t, y_t)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "Z_pred = np.zeros_like(YY)\n", "for i in range(40):\n", " for j in range(40):\n", " Z_pred[i, j] = m.predict(np.array([XX[i, j], YY[i, j]]).reshape(1, 2))[0]" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(40, 40)" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Z_pred.shape" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.contourf(XX, YY, Z_pred, levels=30)\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above plot shows the prediction in the 2d space. We can alternatively view the 3d surface plot." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection='3d')\n", "ax.plot_surface(XX, YY, Z_pred, rstride=1, cstride=1,\n", " cmap='viridis', edgecolor='none')\n", "ax.set_title('surface');\n", "ax.view_init(30, 35)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "Z_var = np.zeros_like(YY)\n", "for i in range(40):\n", " for j in range(40):\n", " Z_var[i, j] = m.predict(np.array([XX[i, j], YY[i, j]]).reshape(1, 2))[1]" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWMAAAD8CAYAAACihcXDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nO2de7BsV13nP7977sl9J0huhJAEYg3BF0IYLoiVKYWAToypZCyjhBmQWNFbKCoIPogzBcjUTMlYozgVX5dHBXzwmIAYKBQzQyjwAXIJIUACVgoYiUSTmwvJTe4j95zzmz969zm7d6/n3mu/utenqut091699u6zu7/929/1W78lqkomk8lk+mVb3weQyWQymSzGmUwmMwiyGGcymcwAyGKcyWQyAyCLcSaTyQyALMaZTCYzAILFWERWROQzIvJBw7ZrReR+Ebm9uP102sPMZDKZxWZ7RNtXAHcBZ1q2v1tVf775IWUymczyERQZi8j5wI8Ab2n3cDKZTGY5CY2M3wT8KrDP0ebHROT7gX8EfklVv1ZtICIHgYMAsnP1mWc84ZyZ7bohkzvTvwClCYKyUWpcui8BbZztps+tz89GNLWbY6PhLMZt4m9TQgPNJV2J67ctTP9XYzvf/9rzf5aNgJMV0qZJ+xi2BZxIQxs1va7yGap+RsqfhfI2Lb+s/LynzUz/M9u3zpEU96X0xVspbV8pnfCVbVv3t1c+CKuyztfvfPCIqs4KRiQ/+Lxd+sDRsPP5mTse/bCqXtZkf7F4xVhErgDuU9VPi8hzLc0+ALxTVU+JyMuAtwOXVhup6iHgEMCuJz9Bz/vvP7u5be3k6lbDEyubd7ed2jrT205sfQK2n5z8XTnB3HNTZrfNfpFXj88+3n58fe5NmZ7b7PuR09ZtTVjfs+pvVLC2e8XfqEbbFLj+d3Xa+v7f2x455e1Djp/wttnk4ePhbZuwd7dzs+7eZXx+Y8+OuefKn53q+S4/Pr17VrjXdk4er+8qP1fq1/L8xq6JsG3sKH2Xdm2dy+07t87ZruL+3p1b5+nMHVtf2MfumP1/7z/jkc3755xxjNd9zwf+Hw154OgGH/+rxwe13fuEf9rfdH+xhETGlwBXisjlwE7gTBH5E1V98bSBqj5Qav9m4I2+TlUtUVuEELsIFeIYEW5LgF37cIlz+Th9Ymt6T6kEOkZ4Y1+zsCJc3Z9FlOX4CaMgb3vklFGQp2w/vj5zfsuPV4/rnCDD5DszFd7tJ7eEt/y8iW2nZEuQT6zMCHKVh0/u2BTkh07t3BTko6d2zwnysuEVY1W9HrgeoIiMf7ksxMXz56rqvcXDK5kM9AUzExUbsAmxLSq2CXHdaDhEhENEoYrry2TadyphNr2mC1IJMCyACJv231CQVx45PfMZqQpymbIgbz+pm9GxT3jLIr3txLbN6NjE2snVmei4Lvc/6nJHF4eYbIoZROQNwGFVvRn4RRG5ElgDjgLX1urUEhVPaVOIY0W4jviG9OES6DrCDN1bFGViBL9zEe5bgKs4omSbIFdxCbJLnE3Ujo4NnDi5umlVhETHRx7dM2NVLANRYqyqHwU+Wtx/ben5zeg5FlNUbLMnTLQhxDZRSCHAPqr7sIlzXTtjSlsCHRttp7zq6FKEN44dC267bV9kZGeJkk2C7LMrqtjsiqTRccmqSBUdLwO1I+PknJgXhxB7wvRcqBCHRsPJL4kLQiKd8r5TRM1TurYoyoR670MS4Rjxdb02WJgbCHKMXeGji+jYxrJFx72KsS8qNuHKnvDhE6CqSLjEoI74+vrwiXNbwtwFMYOfiyLCrv6CRDmhIJdJHR0b8QzklckDeROGERkbouIyPtENiYpd1kRsNJxCiH39hgqz7xK1T2GOzT5JLsJQW4hTi7Cp/2j7ogGpomMTXQ3kNeW0bvCv64/2fRhWehNj3XBHwCav2BcVty3EbYmwb18uYQ6NliHOZ46lbtpfjA+/CCJc3ZdXkHuMjk10bVUsE8OIjAt8GRQmTP6xC59VYRKHIBGo8+X3JPxX958qWp7SRd60jWUW4ep+6wpyLLHRsS3veLO/DqyKZfKN+xdjz8DdlBRRsS9roioQThFIkRZV7cPzhWsjWu6S1gQYRifC1WOoI8hNo+O6mKLjsVgVQ2bU9Yxjo+KZ1/YtxLZ+pzcPcvxEkGBte+TU5q1ryvuO8YOjI+Ea52Pj2LFBCPGUuscS+6NlC05mAphSYOP7jpkCI98g/InSwP3DJ4cTLMQgIl8Vkc8VJYMPO9o9S0TWReRqX5/9R8YFoRaFz7YIjYpn9h0jVF1NFPBMk50SamFANxFzXdFfpkjYhjdCrmlXpIqOvbaEiURWxUB5nqoesW0UkRUmpSE+HNLZYMS4CdXaEz58XqlVGAIFwPWFTzUBoEqMKEP87L/QPmLpSoRh2EKckpiJICE1K0xkqyKIXwDeCzwrpHG/YlzDL3Y9ZyMmKm4ixCFf9toTACBYlEMFuUqXVkYWYTN1Ut5iz3nIQF5MzrGJmKyKgbK/Yj8cKqpOTlHgr2VSH/SPKtsQkfOAH2VSvXIEYpwYXzU2qJlB4BCCTmdmRVoXEB4pd0Ht1MAFtCRqE3il1NZAXhtZFV2luJ1mG/8S/qtyRFUPOLZfoqpfF5FvBW4RkS+q6sdK298E/JqqrouEXW0MYgCviV8ca1HM7DckKrYIQeoBoKj+IgatogfEEjPdf61jqDk4B+MW4jrH3uQc2wbyfJiuTn21ZHw8dGpL1Y+eap7O1xaq+vXi733AnwPPrjQ5ALxLRL4KXA38voj8B1efgxDjwdJDVa+oL2LE8XUpyo0EGBqL8JiFuCtCapM0CXRs+MrljgER2SMi+6b3gR8CPl9uo6rfpqoXquqFwE3Az6nq+139LpRNYcI3226IRPmGkSPsbVkYSYR+SXzhxtS0KppQp1bFAvjGNh4H/HlhP2wH/kxV/6pY5QhV/cM6nS6kGNepSBYjJl188dsU5CmxhYpcr21EwyuQRRTiNgbyxpLiNnRU9cvA0w3PG0VYVa8N6TdYjIucucPAP6vqFZVtO4B3AM8EHgBeqKpfdXboqU3hoslkjzERXeELGk2b7dxbziI8GOqmuJnwpbiZsBWcXyZiPONXYF9O6TrgG6r6ZOB3CFgDL5RQ4Y0ZeICANC7HwF3XtOUj90YDT3jK0gtxgvOcwjeuExjF+MZDHsRLTVBkLCLnAz8C/DfgVYYmVwGvL+7fBNwgIqKqjUcA1neFnfDTuyVKkDf27HAL8t7dgxK2LmyL1ul4hY1Mt76xcf8e37hL1nSF+9fP7PswrIRGxm8CfhWwXXucB3wNQFXXgAeBs917rn+CYj8QKemyBm0jBvRDkioSzkLcnDYHsWMXe4DZOhXLjleMReQK4D5V/bSrmeG5ObUVkYMiclhEDq8fa68snm12kWvwYkiTI5KRQASHsP9lFeGu841jqCO8GTchkfElwJVF8vK7gEtF5E8qbe4BLgAQke3AWUxWiZ5BVQ+p6gFVPbCyr5viH32ujJya2qLUtSAnFOFlFeKuCKniVgfj5A/Pij5jreCWCq8Yq+r1qnp+kbx8DfARVX1xpdnNwEuL+1cXbYLP5lA8pYWm7Sg5ovxnCFmEAwj8XzetOdLGIJ6P8ky8ZaH2DDwReYOIXFk8fCtwtojczWSA7zVND8yUx2h+rn4KjndgwzII1qdv3FikUgpyYgGGHA0PnVTCmzMq5oma9KGqHwU+Wtx/ben5k8CPpzywOpQzKtZ2rxhTd9b3rFoHMXT3rmDPbdu+feMVjbJ4xmZdtBhdj/b/OTLaWP3DxZAyKoZMvzPwdq3P+Ugbuzbm/CZTeltoyhvYhdnEnCA7UtxGLchTbEs/degzj/5/mNmk1uy8DNC3GCdibadEFTUpR8fefGMYlCC3bpF0PNiXhdhNF/WN65JKeLuqUXFaV/iX02e1vp+6DKZqm+kyJtQ3LlOexlnOpIjJqjB+kB2X86PJPR4Q2RsePk0zKjJxDEaMfZgmeqSa/BE8QykLchKyCA+L0LUik+BJb1tm+hdjQyUnX5ERX1ZFSHRcHcCoCrL1Ms8jyG2K8tgFP0fDLdCRrVSntnGdQvPLnGvcvxiXCLUqyjSJjtsQZGhHlBdBiDP90fb6hstSSbGMiKyIyGdE5IOGbU8UkVuL7XeIyOW+/noTY/HUpjBFx2XhTREdh1BXkGFLlJsIadvRdhdkIc4sKK5Klv8FeI+qPoPJZLnf93U2jMjYU3Q6dXQcY1dAM0GeUhZml7iGthsLWYgzi0ipkuVbLE0UmJaIOwv4uq/PXlPbtu88PTcTZ2OHbi5QGppzXKac5hYyCQTmJ4KY0t2sE0Jq5uUugtC6yCKcaUrqIvNrusK/hqe27ReRw6XHh1T1UOnxtJKl7Yv8euCvReQXgD3AC3w7HEZkDLWi4/JzsxZGvF3RKEKGYdYP7oksxGlp4//ZpJTmkvjDR6ZFzYrbphAHVrJ8EXCjqp4PXA78sYg49XY4YlyiPJBXxzt20bogL7koZyHOLAEhlSyvA94DoKp/D+wE9rs67V2Mt5dn3kREx768Y1t0PNdnTUHOojxLTlvLLAuBlSz/CXg+gIh8JxMxvt/Vb+9ibMMXHZdpYleYHpsEOTpKhqUR5SzCmcxcJctXAz8jIp8F3glc6ysr3NsAnsjWcc0M5JWKB5UH86as7dxaZaA8mGd/PmxAr/rYVN3NNrAHnhUWeii+0xVZiDPLjKOS5Z1M7Ixgeo2MY4qDlKPjJsVJmkTIYJ86HVSYZRopL0C0nG2JTNukzKQYA4OxKWzecd3BPJtdAe0KcnC1rBGLchbh8dOknnGfCwIvMl6bQkR2Ah8DdhTtb1LV11XaXAv8FvDPxVM3qKotGXqGXTtPb64Qa7MrTDSxKyCNZQHmaaZB1sWUsiCPwMbIQpwZK6d1hfsfHW5+f0hkfAq4VFWfDlwMXCYizzG0e7eqXlzcgoQ4FFt0bI+Ebc+HZ1WYIuSYKBlqrDg98Gg5C3HGRo6WmxOyIKmq6sPFw9Xi1rjQ6UqpNkXZO461K5oIcjXlzSfIYLctklgXUwYoylmIl5s6a036sqBM7N3ZbkGjIRPkGRfViW4H7gNuUdVPGpr9WFGd6CYRucDSz0EROSwih08/eHzmHx8ryLE0EeQQHxn8UXJtUe5RmPNAXf+kmDofXLO7bTxzCZaZIDFW1XVVvRg4H3i2iDy10uQDwIWq+jTg/wBvt/RzaDq9cPWsZgITGx3Pb5sVZNegnuk5l22RXJShF0HOIrwcxFYyzLRDVDaFqn6TSU7dZZXnH1DVaZj7ZuCZoX02iY5TCjLMZ1nUtS3AH4kMXZCzEC8n5c+4a+ZqSrpY/24MeMVYRM4RkccU93cxqT70xUqbc0sPr8Re49PIUAUZ6vvIECbItayLlslCPCJ6tLDqrFGZsRMyA+9c4O0issJEvN+jqh8UkTcAh1X1ZuAXi2mAa8BR4FpfpytiN/dD0t1spTZDUt7mt9nT3sCf+gZbghyTAjfFWp7ThmO16qZkIR4/XawMHUOTsZ6UrOk2jjy6p+/DsOIVY1W9A3iG4fny1L/rgetjd37mjpM8dGryU7p356no9a/6FmSYX8DRlJMM5qnUZYYkyJnFZggTPrZHWBOP3bEcn/PeZ+CVpzzG2hUuurAsbM+5bIukg3uJL1FzVDw8Fn0RAhvLNhUaBiDGVVL5xzBMQYbEg3uJBDkL8eLSNK3Nl2NsipZzjnE8gxBj16/gUAW5ycAetJRtkVkuEvwQ2xZbaCWTYsFyjD2rQ79KRO4s5l78XxF5kq+/3sR4ZdusaNrsCmguyGVSCTKEZ1rUzbYIpuGXMkfFw6SORdHVj3iqTIqRp7W5Vof+DHCgmHtxE/A/fJ31GhlXjXmXIJdpkvIGcYLsWzEkRJCh/qy9TCYlXQ/eDSWTIjW+1aFV9VZVnQrcJ5hMmHPSu03hGim1+cdztCjIk+322XoQNoUaWhbkmtFxjopHSuD5Hsw06BIjyaTYPy3dUNwOVrZPV4cOMcevA/7S16i3lT7KPHbHcY6emny4yuluMJvyZs0/hugcZAhPe5tsj0t9sz1XJ/UtOu0tM3q6yKII8Yu7Grwr01YmxfrGtk2dCeCIqh4wbSivDi0iz3V1IiIvBg4AP+DbYW+R8fbKpI/yL2D1ZARlWFRoO0KGdlLfbLRhWeSoeLHo0y/24hm8G1kmRcjq0IjIC4D/DFxZKhdhpVebYv8Zj1i3Nc2wgOEIcmcMrOxmpiVqWhRN/GIfyzR4F7I6tIg8A/gjJkJ8X0i/vXvGZWIG9MYkyEOOjjPDo2uLIoQ8eOensjr0bwF7gf8tIreLyM2+1/cuxtXoOHWGBSyWIGcyJpr8UKf0i33EDN6NAVX9qKpeUdx/bVGrB1V9gao+rrT60ZXungYgxuAX5DKuDIvQadNtCXKVphNDTOToeLHxRsU9WxQ+O8I4eBfhF5eDr2WpSTGlNzFeldkT5BLk0AE9CF8lJJUglwmZtRSzlFMtQr+sefAuE4gvAs5lM9PQa2R8zhmzghAzoNe2IJfpopaFCde6epnFo65XHPt5CPn81VnzrozPL+5j8G5dt/HQqZ1Btz4YhE1hw+UfV6kzKaSKrY5Fddv865pnWLQ50p1ZEFqY6FG3HkWd/OJF84tTE7LSx04R+QcR+ayIfEFEfsPQZoeIvFtE7haRT4rIhaEH4IuOk2RYQOPCQv5t7Qzo5cG85aDNDIqu/GIjEcWBbH6x64p5kQiJjE8Bl6rq04GLgctE5DmVNtcB31DVJwO/A7wx5iDGJMhlYgf0qjTJSXZemuZ841ERJMSWc9qGRVGmbb94ZJM9WsUrxjrh4eLhanGrXutfxdaK0DcBzxeRKGWKFeQyUYJcInWltyqp7IocHWdCSWFRNE1pG6JfPAaCPOOibuftwH3ALar6yUqT84CvAajqGvAgcLahn4PTwhsnv+mff153QK9KlznIKeyKzPLQxJ4IiYq7GovIfnFzgsRYVddV9WImZeCeLSJPrTQx/ZTO/Tyq6iFVPaCqB/Z+yyqPW31wZns1Oq7iG9BrOwe5TMyAXiyhX6AmWRXLupzPKElkOzX54c9+cftEZVOo6jeBjwKXVTbdA1wAICLbgbOYrBLtxSfIMf5xlbYzLMo0sStCviTZqlg8+vxBtH3myoFE9ou7JSSb4hwReUxxfxfwAuCLlWY3Ay8t7l/NpHBG7YnpnQ3olehjpRAXjS8v8yDeYhAxcFd31l3TlLaZYxiwX7y+ITx8ckfQrQ9CIuNzgVtF5A7gU0w84w9WimK8FThbRO4GXgW8JuYgqtExpB3QK5PCPy5T165IFR3nCSDjZEw2Ua0p0CWyXxyGt7i8qt4BPMPw/GtL908CP97kQB63+iD/evqs2q8PLUoPlcL0paL0VWyF6auF58u4toUUpJ/py1KIPpOJpYsqbTMk8IuXjcHUpjAxNP+4jMuuKBMzmJczK5aD4Kg4wmqKsSjqprTN9NGBX7xMg3cwsOnQvdkVDurYFU2LCTmPJ8aqyL7xQtKXNTVmvzglIbOSi3Y/ISJ3Fm3+zNdvr2L8eIP4mgQ5hjYKCpUJFd3Z19T3jtvMEx2Tb7kojO1/nv1iI95ZySJyEXA9cImqfjfwSl+nvUfGJkGu0pldUSI0u6JMn9FxJmNjyH5xmbH4xYGzkn8G+D1V/UbxGu/SS72LsYmhZFeUsdkVobnHqTMrquSsiuETFRUviV9sC5za8ItVhRMnV4NuwP7pbOHidrDcV8Cs5KcATxGRvxWRT4hIdW7GHIMQ4y7sijKpB/PKhH5Qo3I7m1gV2TdeKJbRL/bNzG2JI9PZwsXtUHljwKzk7cBFwHOBFwFvmc7XsDEIMQ5lqIN5bXjHXTE2DzMzHhbUL57BMyv5L1T1tKp+BfgSE3G2MhgxXtTouK7/5hPnPAEk0zZNB+8WlcBZye8Hnle02c/Etviyq9/BiHEofUfHZZqKbrYqMm0z5MG7EU/2CJmV/GHgARG5E7gV+BVVfcDVqXcGXpc8fvVB/qUyCy/1zLwy1Zl5sxu3ZuZt7FC2nZoIZ3lWXijlWXlrO4XtJ83Rtm9GXlts27cvL1A6UurWL555Pk/2iCJwVrIyKQ3xqtB+e4uMtwfMwLMxhug4xUBeHasis9y0URzIxwIO3vXC4GyKkLzjWPrKO7ZRt95xyBct+8aZ1DS2LjJB9CrG56w8FNSu6UBeleA6qjWT100EZ1y0lVWRfeNMQsY48043hLWTq0G3PhhcZBxKE6vCRdMPUR2rYgjkFLdMmTF9dheFQYrx2KyKph/cGN+4alVk3zgzGJYjk6I1Qlb6uEBEbhWRu4rqQ68wtHmuiDwoIrcXt9ea+mrCIlgVZZquk+ci+8aZOgxhmaWhZ1K0SUhq2xrwalW9TUT2AZ8WkVtU9c5Ku4+r6hWxB3DOykPcv35m7MuM7D/jEY48uqdxPzPF5xsSWpR+5jU9pbhl2mXj2LFO7aBcH3tceCNjVb1XVW8r7h8D7gLOa/vAUtDX5c9gR5/zIF4mMTmtLR1RnrGIXMgk2blaoQjg+4piy38pIt9tef3BaRWkbx5tHvnFnqwUvnGZrnzjrsiDeO2TJ9dkbATPwBORvcB7gVeqajUn7TbgSar6sIhczmRe9lxRjKLy0SGA73hajaIPA6A8G68rqrZFdW28jT072PZIXvY8E49v7KLOVd4Q09oA2BDrepdDICgyFpFVJkL8p6r6vup2VX1oWmxZVT8ErBbFMRaDEQ7iZTI2hnAVlpknJJtCgLcCd6nqb1vaPL5oh4g8u+jXWRRjCARnVCSkKz85Z1QMl7FbFSmrteW0ti1CbIpLgJcAnysq2wP8OvBEAFX9Q+Bq4GdFZA04AVxTFMoYNA+fHG6Obs6oyCwqXa7uMSa8YqyqfwM4r2tU9QbghlQHlclk0tJ6mltLVt4QEZGdwMeAHUw09CZVfV2lzQ7gHcAzmbgEL1TVr7r67X0GXqoc4yGTp5ZmqnitiocX6/K9D0uwRbyrQwPXAd9Q1ScDvwO80ddp72LchPsfzalY0eRc40ymEYGrQ18FvL24fxPw/Om4mo1Ri3Emk0nPEK7kBjDho+nq0OcBXwNQ1TXgQeBs1w4HtdKHiyarfUyxrfjhZcC5iZnx0vX06K5pMvuuFZSYOQJHVPWAtSvVdeDiYi28PxeRp6rq50tNTDtyJjUMMjKuLr0USrUuxdFT4Zfk1uWXErDdPvEvk8mMGM/q0BcAiMh24CzgqKuvXsW4yeBdX35x17PvMpkhMATrYigErg59M/DS4v7VwEd86b692RRrar70N0XFIRaFr1pb1aJw5RiHVmyLXZgUwqq2ZTKZLVKXz03AucDbRWSFSUD7nunq0MBhVb2ZyUS5PxaRu5lExNf4Oh2NZxxLjEWRgmxFZLpAjp+YmV257ZFTvS0w4KvYtqgErg59EvjxmH4H5RmHRsWpLQqnX9zT4F1rs+8WLH917Ix9anQmHYMS47r4Bu5SWRShfnGoFbH95HJGFplARvjDOdiKbSNgMDbF2KLiUL841L5YPZ6FObNclIsEdVGXQjbqjfN0xXCPLJAhRMWhglt38K5qWZRrGduQ43mkMDM8XAs8LDuDEOO6UXHsendVIW4jKu7DokhVWD77l5lMf/QuxintCV9U7KKNqLhuhkUunZnJLB+9i3FdmtoTbWRQuKJi17bsF2f6ZrCL6C4RISt9XCAit4rIXSLyBRF5haGNiMj/EpG7ReQOEfm3ITvvyp6oUhXimKi4bFHUjYpjLIqkUfIIR+cz4ye2fOYAigT1Qkg2xRrwalW9TUT2AZ8WkVtU9c5Smx9msgDpRcD3An9Q/LVy2jADr64QJx20a8ErjomKfeKbB+8yXWGKlo1LLi1RYfk28UbGqnqvqt5W3D8G3MWkPFyZq4B3FHU+PwE8RkTOjTmQtnziJvZEOSquCnEXUXEIeVXo5aav2XeZ9ETlGYvIhUymAVprdxbcUzx3b+X1B4GDAI99gvtDZBLi1D7xTFTsEOIqVbGtGxXP9VuJiuuktNUlZ1JkFp6NYZctCB7AE5G9wHuBV6rqQ9XNhpfMhYCqekhVD6jqgb3fsiWEdQoBJRXiCi6fuEpVbGOi4k4H7rJfvBCMZdXvwdUyHgFBYiwiq0yE+E9V9X2GJpu1OwvOB74e0ncdn9hXBChaiCN84hh7ImVUbMJkUWS/eIFoeYmstZ3DLwc7wIptrRGSTSFMysHdpaq/bWl2M/CTRVbFc4AHVfVeS9tNUglxOSpuKsQxPnFZbH1C3DQqbtOiyGQy/RMSGV8CvAS4VERuL26Xi8jLRORlRZsPAV8G7gbeDPycr1NTPeM6KWyuiR1jEeIcFWeGgqmIvOm5ZS2fCWHpvqW2zxKRdRG52tevdwBPVf8GsydcbqPAy319uUidwtaVEFdpKsTGPptGxR6/OA/eLQ+nd7dnTcRUbOu6SFBiQtJ9KYrPvxH4cEing5iBN2YhTj1gF5JBkdPZFoeUC5Ku72lvHccULEqRoMB0X4BfYDLWdl9Iv72X0EydS9ynEMdWZatjT9iwWhQ5i2IpWdudVzSvIhr1Hd0vIodLjw+p6qG5Pi3pviJyHvCjwKXAs0J22KsYp84lHpIQp/CJc1SccRE64cMnzEOqSzGgqdBHVPWAq4En3fdNwK+p6vokB8JPb2Jsmg7dlRD78ojHJsR54G4BMaS1dZljHDwV2kNsXYqxEJDuewB4VyHE+4HLRWRNVd9v67N3m2JKjBA3SV9rIsSxIgztD9g5hTjAosiDd/2R0i/ujSWsSxGS7quq31ZqfyPwQZcQw0DEeIhC3DQahjAhDvWJsz2RSUmbEz6WYPbdNN33cyJye/HcrwNPBFDVP6zTae9i3JoQe2pNuEph9inEyeyJPHCXybRCSLpvpf21Ie16FeNFFGJT+lobQpzJlAlJa/PlGJsmd/TJMk2Fhh7FeE1nLYKYJZPqCnHXA3UQnr4WK8Q5Kl4uYgbvytkTTVPc8uy77ujdpoCEWRM9TW+GtLYENBDizChwDt4FFAgaWh1j3+y78oSPvmbfycBLaPYuxn0L8dBsCWgoxDkqzkQwpBzjZa9yj8wAABkiSURBVKd3MS6TQoiH5g/H2BKQhdiELwUsp+elpa8c4wFN+OiFXsW4HBX3KcRdp61lITZTN++2+rqhi3Pf+cXJ0tqWMMe4TXoT4/WNLaEckxB3bUtAux7xVBi6FLC2xaiP99QmvsG7IRUIWoIc49YYlE0B7Qpx29Oabc9BywN1CaLitgSszyhw27594xPkhqt72LInxpbWtox4xVhE3gZcAdynqk81bH8u8BfAV4qn3qeqbwg9AFcucZkQIa47UDfaaLgFa6KOgPV92e1ilILsIVWBIO/rc1pbp4RExjcCNwDvcLT5uKpeEbvz0EkdQxLipiIMw4mGbQxZXOswJEFetP8txBWVD6WVCR8b8WVuuyRkpY+PFTU7k7Ku9rr2bQlxV8sjte4NL8BgXdcsmo+cgj7S2so5xplZUnnG3ycin2WyIvQvq+oXTI1E5CBwEOCMbz1z83mbTxzqEZepI8RtR8NJB+iyEDdiSFHyEGlDoG0rfIxwuaVWSSHGtwFPUtWHReRy4P3ARaaGRaX8QwB7n3KuQnMhDhmsSynEvQzQQRbhjJHYTIo6aW3GHGNPWlvOMY6n8Rp4qvqQqj5c3P8QsCoi+0Ne6xqwCyFWiFdOpBfilUdOW+tKuKqtRVkSWYiTMljftueC8plwRORtInKfiHzesv0sEfmAiHy2WEH6p3x9NhZjEXl8UWwZEXl20ecDsf008YlDhbhMWYhXj+uMEG8/vu4V4izCmcwsbeUYP36Y1dtuBC5zbH85cKeqPh14LvA/ReQMV4chqW3vLDrbLyL3AK8DVmGziPLVwM+KyBpwArhGVb35L+sbW8LatxDPbGthbbpsRwyPRfSObdXaco5xegISGxTYVwSqe4GjwJqrz5Bsihd5tt/AJPUtLQMU4tZEeJEEuOGkBSOL9P9pSFfV2nKOcdjq0A5uAG5mktSwD3ihqjoLfPQ+A88aFRtoIsQuf7i3BULHLDJtiK5vX2P+fy0oMTnGoWltbRWVFzXXmbHgXR3aw78HbgcuBf4NcIuIfNywivQmvYpx0zS2KqG1SmOEOLkIj1FQuhReF+XjGOP/cUDk0pmt81PAbxaW7d0i8hXgO4B/sL2g8QBem8TaE2VsUXFvQjymAbm9u2dvQyTBsQ02q2KBWOIc438Cng8gIo8Dvh34susFvUXGqltC6yoSX6WJPdGGEC9UacuhCq+LvbvH9T8eMLmOcTgBiQ3/FbhRRD7HZPHSX1PVI64+e/eMZwic7gzNhLiKT4izCA+cLMjdkusYhyQ2fB34oZg+exfjuoN2JkKFuCy+yYW4pij40qySX1KPXYCrZEH2kqyofKYVehfjTTyDdqFTnX20JsSRQhCb47px7Fg6QU4oxKlmiC3LIqtJz+OAWLIJH63QqxjHRMUmmvjEfQjxICYZNBDiNqfmlvuuLcw5Oo5mmSZ8yIbbruyb4UTGBb5UNl890tABu5k+6wrxEohwH7URGgnzEglySJEg3+w7E31O+Ggrx3gM9JdNUZoObcqg8HnFIeltNsrC7BPiutFwGwJc+xK3hhAPpUDN9DiiRHmJBLlP2pjwscwMKjLuIipuW4gHEQWXiRDioQiwCd29a2l85aY0XW4pFUucY1yL/id9ROQVm54zCXSoT1wmC/FwhXhK1DEGvvc+BtOsn5MFiOZjc4wzWwwqMp7iyys2ETHnfNKfY406KwsoxHVFOEXBGt8KKCZyhNwc0+SOVBM+YhnjhI+2GKQYhxLjFTeOigcgxMFRXIAQx4pwG9XCqn2GinMtH3nB6cyayBM+WqN/m6LAl1vseq5MSAZFdFQ8ACEOJqEQb+zZsXnrguT7WbSJLQOlrRzjZSOkuPzbgCuA+1T1qYbtAvwucDlwHLhWVW9LfaAuYi2KMsFesYEuhTgoKvaIT4wI98V03yFRcrYsFpvUEz5kXZ1XyH0TEhnfiHt5kR9msgDpRUxWfv6D4L17UtqmmOwIr4ccmEHhxRIVjy0iDhHiLqNgH6HH4n1fOToGxjEVeplzjCFspQ/f8iJXAe8o6nZ+QkQeIyLnquq9iY4xmNjZNd6oeCBC7I2KGwpxHQGOXZW4TMwP4saeHd4ouWmEvIhLMIVgmtwROuEj5xinJ8UA3nnA10qP7ymemxNjETnIJHpm5ezHRO8otg7FItBEiFOKcBPxdfUVIswhguxkLJNAFiiKzznG8aQYwDNd/xhDVFU9pKoHVPXAyr49WwcROHi3bLQlxKEWwPqe1c1bW4T27zvmMeRJd02dqdCZMETkbSJyn4h83rL9P4nIHcXt70Tk6b4+U4jxPcAFpcfnM1mErxOaDN6NmgZC7KILAXbt10dtQV6AqLNLPz8XlfdyI+6xtK8AP6CqT2NSaN67mGkKMb4Z+EmZ8BzgwT78YhtDHj114YyKWxTiOqztXpm71SVElNsQpSGWtXSdS9v/yPe/D53wYSTnGG+iqh8Djjq2/52qfqN4+AkmQaqTkNQ23/IiH2KS1nY3k9S2n/L12Re1Zt31QGohTiXCMSJraxv647i+Z9V5vmw+snMwbyDecWrh77MWRaoc42omRRt1jGUjKjjbLyKHS48Pqao3urVwHfCXvkYh2RS+5UUUeHn4cXXL2u6VzRPg+4L3TRsesUuIQ0Q49Re92p/ryzE9Pts5qyXIDhY1q6JJWltXpTMHyBFVPdC0ExF5HhMx/ne+toOZgTcm2rikrSvEuntXtBD7rIAUdkMoIfupY59YL/E93nHbdoW1/4497dC0NhO+tLZyJkU5rW3ZMilE5GnAW4CrVPUBX/tBiLHp1zf0g9FqMrvjC5LqS7tt375GQmzClXkQIsJ9UFeQa/nHIxzMi32fOZOiX0TkicD7gJeo6j+GvGZUhYLWdqZNeate5sZe3ja9rG0yxblONGwjVICbCrXPr5v2b2tns5nGYlfE/ID3OXhnzKTwDN4tWSZFyFjaa4Gzgd+fVIxgzWd7jEqMe8Ez6FPni9u0zkQqIQ4R15SRcrkvlzC7RDmZILdwXmvTIFJfhMG7MRIwlvbTwE/H9NmvGO9an6tPsbFrY64+xfqu+VoUpudO75bNKdHlgbuYQTzjlzfgizvzHoovcW0ro+Vo2PcF7sorBr8oL4ogN7G1mqTymWy8JtOg26CLTIoxMAjPuCmxvnFZpEwfdKPo7d0dtXpE7bXqehTiJp5xXY/St0/btlgPua8BPe9nwbD/UIvC9r9p0y/uY/DunJWHar92TAzGptjYoXPTok0esc83DomO5/YdU/ugjVzVni2JEAEO+YL72rgKObkiZdu22AjZSuCVT3I7KkCIQ6PiMfnFvbGhw05t7fsAmhA8c8j02opoVT/0nUyt9UTbKYTYFXn6otLTu2XzloKQvnzHWyUmQm56TqdRrktkQ9p0RZuZRk384rEP3rXFYCLjMqG+cZm1nbJZp6IcHc+0cUTHJryzuabERMoNV+IwiUxsNOwT4LYp78MWLdvOlen5mAg51Qy9xmJbIyq2WRTl+94fu4H5xZkt+hdjwyBemTpWxUxbhwBXv8S2Ly94VgBJFCnXqSthi4ZNpBZhW+QVU7xpul/bjyfM2xNDEeTaRPrETWlUj6JEGzWM8+DdFv2LcQmTb1zGl1Vhi45d3rFJkGG+8Hybi2AOXYRjL3friLRPlEMFGeanT0f/yE7FsqOxAdP5bxoVh2ZRzOyzoV/cRg3jZRm8gx49Y9lW+tIZTnj5g+G7tLL9ys98OC0fYDALm2tUvmkUM+3DN5XZZkmECrHNf/V5wWs7ZeaWipA+rccU8f5iz6eViAwaJ5FZMi4hjsUXAdexKLJf3A6DioyhXnRcphwdz22LiJDBvTim7UtcjbRihTtVloRNhF10uU7adF+mc2WLkpvaFrVn6rU0PlBHiOtGxTN9hmZRlIixKOqyzBYF9CzG23eeZu1k8WHzTADxecchdkUVkyCD+TIXwlcsjqVOZbVYS8IVBYdQN3PFt3BsXVFuIsjQwIZqcXzAl8YWmwNePme1CgPVtChC84u7XoBUNjaaLd/VMoNMbfNdJvk+ZJPnt0TGZleYHoM7XSpVYfNpX3Uqq9WxJObae+yC9V2zt7qE9uM6HuPxW/4Hc/uvMTmkzcE0W/8xWTKQNiqeOY4BWRTL5BdDoBiLyGUi8iURuVtEXmPYfq2I3C8itxe34DnZM5c/Ed5xyAixS5Crl3smH9knytVb07au/drKWqYU4RTi68O3D9vxmd5P6P/D9j91nYvUohxb6rSpPRETFfsG7vJK0N0QstLHCvB7wA8yWe/uUyJys6reWWn6blX9+VQHVvaOTXnHZWx2xWSb3bKoXtqaPMmYlYzrRs11KqqlsiNihDe0rCmEpR5O922yMmz2hcl2amJbgHvGXlVAY7Jp6q7OHSrEIYQMdG8eT0RU3DSLIqe0zRPiGT8buFtVvwwgIu8CrgKqYhyFyNaJt3nHvinSsz5xGkG2PQfxS8zbaLLCRowI+2wI5/4jhDf09TaB9omySZCBufMIBP+42rxkcI8NpIqWQ22J0LREW1Rsoq2o2MWiWRQichnwu8AK8BZV/U1Dm58AXg8o8FlV/Y+uPkPE+Dzga6XH9wDfa2j3YyLy/cA/Ar+kql8ztJlh187TnChEeEaQDdgG8+oKMjCThwzmL3L1+SltrJ5cp35EjAi3LcA+yv2bhNkmym1FyWD+UY0ZsI0hdqDWFRHH2hO+DIoUUfGyWBQhboGIXARcD1yiqt8QkW/19RsixqZvdvXMfQB4p6qeEpGXAW8HLjW8iYPAQYDVc86y79ESHacUZDBHyWBOnZqScrXpJqUsU4lwjACHWhq+DIrqfqvC7BLlJoIM5mJD4BZlaCbMTUTY9DhkwM4mxDEZFE2i4gW3KELcgp8Bfm+6QrSq3ufrNESM7wEuKD0+H/h6uUFlfac3A280dVSsrnoIYNeTn6DgiI47FGTwX/JWt00JFecYr69tPzhEgJtmUFRx54ZP/oaIsilKjjmHPgvKtfipialI1xkvSC3Ede2JmDoUdaLikVoUrtWhQ9yCpwCIyN8ysTJer6p/5dphiBh/CrhIRL4N+GfgGmDG+xCRc1X13uLhlcBdAf1u0oUgw2weMoR/ocEuunXr/8b00ZUIt51FMcUmzF2Jsuu8xo4LxIpwbLpimVAhrj1oZ4mKY9PZBhsVb2zEDMC6VocOcQu2AxcxWZrpfODjIvJUVf2mbYdeMVbVNRH5eeDDTBT+bar6BRF5A3BYVW8GflFErgTWgKPAtb5+V7YF/hpbCgmFCjI0F2WoHxFXCRXvLgQ4VnyDVw/2ZFL4hNklyk2sC7BbUG0N2PrGFkIHapsKsXfQroRNiPuKih8f4nt1i9ctKNp8QlVPA18RkS8xEedP2ToNmoGnqh8CPlR57rWl+9czMauj2LvzFA+fnEQWIYN51eyKEEGubjNvt4syuCuKpcQ1XblLEe4jkwJMQjv/2iZRMtQTZUg/YFtHhCGtENui4iYMacZdi3jdAuD9wIuAG0VkPxPb4suuTnuvTREkyI50N5cgg9m2MG2ftLGP2pdxrVgRSpNqaXUG5IaeSQGugbv517UtypvH2tGAbUgtkS6EuMuoeIQDd0CwW/Bh4IdE5E5gHfiVytjaHL2LMbQnyOC2LabbwfylnrS110xogzq5wV0IsO/Stoxrgk51v3Epbmn9ZPBHxE3EOeTqKbSgU1MhDqGJTwzNSmXCaCwKIMgtUOBVxS2I3sR4Rexf7lBBBqyDeuCOksvbTW2mVL8EMYXTfYQU6UltQ9SqaRuJqQ+bQMemuMX6yZO26cYE2hywjRXhyXbztup5bmJPpIiKFyCdrXV6jYzP3HGSh05NPjXl6BjCBBnc06Z91oRLlMvtyoQI6PaTGtTORN1otm8B9lHdh0mc47Ip5tvGTBqJHRNoYlfUyZYxfX5cYttUiGPtiSpNveIxRcVt0btNUVuQwZr2BlijZDAP8E2xCTOETWaY9BcuxCEZDakFOFZ866yH5qpJXT2GqjCnEuX5tv4xAVe51ZTEZMu4ouHq9raEuIqrTOZgveKNjfaX1GpA72IMNQUZvD4y2EXZN1hUbjvFJ5ymJaHq0IYFESLAKRehNPVlE+jquZrSVJTtbe1jAm0M1pr6rRIiwpN29u2u9LWm+cRt2hM5Kp7Qn2e8bfbDkkqQAevgHthFGdzCXH6NjTri23Q2XBMB7noF4PL+TMJsi5Z9Vy51RXnSvtlg7VSsUy7o6hNhU5umQlwlhT2RiaPXyPixO45z9NTWygkxggw4fWTAal1AXb/Y/l5sQl03ZWwQAtwk99Sx4nf1OFzCHBItu0TZ1rbafvKa+MHaWBGOzZYxnetQWwLChTjUJ46xJ3JUHEfvNoVPkAFj2hu4fWTwWxeQzi9ukqfbxDeGRAKcKOnf2Z9FoF3C3FSUbW3L7U2vmbzOLpwuoU4xZuATYVMbZ72JxEJcxSfExtcMowbFYOhdjMEtyDCfhwy4o2TwWhdg/4JDc7849HU2mmZAeAU4tfiGUN2naZq74XyB38IIG8Dbuu87v6Fr98VSJ1smRoQhjRBXqQpxrD0ROmi3rFEx9CjG2yt5xjGCDJ4oGayiDPP2BbiFGdrxi237suES4JTim3IlYFeN6pljqi5GGxktx9oSoRNPTITqRehnIiZbpq4tAXFC7Bqwa8ueWHZ6jYz3n/EIRx7ds/m4jiCDI0oGq30B5mh5ik+cq7jEuq6F0UX02/YS7NX+reIcIMxNLAwIy6DZPG7H+Wxa3a5OtkyTaBjcWRNtCrEJmxDbouLHrZzh7XMR6N2mMAkysCnK0w+GzUcGc5QM4aIM7stiiJviW4dkqWceAW4ivuUv8QlXxBuxf6M4G84V2M9X3SyMKaGDtSHr+oX0UyXGNzZ9ToYsxIOyJ9Y32DgWV0WuS3oXY9g6ySmjZAgXZYhLuzLhEuu6M9xSDbyFCnBMPYKYti7hLh/bnDC3EC1Dfb84ZTGl2GyZpiIM7QqxiRT2xLJExdCjGK/KvIiE2Bbgj5IhQpTBKczgn00GiWo6DFh8m1Ddj02cg4S5YbQM9f3iOsFbU984SIShdyFu4hMvuz0xpdfIeHpS73903+ZzPtsCzFEyhIsyOIQZvOJcJUis606wGIj4ukbay5TPQehxmMTZ+AMKjaJlaDZQm3IllDqpim2LMAxHiJeRIDH2LUstIjuAdwDPBB4AXqiqXw09iHPOOOYUZPBHyRAuyuD4skNQClaZZDPZAjMe2hDfULGt249LpF1edB0bo8lYQJ2JPS6aZspYP1uGz8oQhDgGlxAPPSpuQxO9YhyyLDVwHfANVX2yiFzDZEHSF4a+MTALMsz7yDAfJUO4KIM9WoZAca7iEevgfiykFt9UwhtDdZ82cW5TmKHZQG1Kz7h2pkwNEYbuhHgZfOK2NDEkMg5Zlvoq4PXF/ZuAG0REigLL5h0bPOOqIENYlAzz1gWYRRns0TJ4vvA2Ek+giMl46EqAXfUJplT//y7Kx+MT5igbA6z+MtitjM3tEbWYY2icLRMgwuCPhiFeiE00FeKR2xPtaGLAjkOWpd5sUyxJ8iBwNnCk3EhEDgIHi4enXvc9H/h8wP4Xhf1U/h8LzDK9V1iu99vXe31S0w4e0qMf/utTf7Y/sPlOETlcenxIVQ8V95NpYpkQMQ5ZljqkDcWbOQQgIocdS2EvHMv0fpfpvcJyvd8xv1dVvSxRV8k0sUzI9VfostQXAIjIduAs4GhA35lMJjM2WtHEEDHeXJZaRM5gsiz1zZU2NwMvLe5fDXzE5Y1kMpnMiGlFE702ReCy1G8F/lhE7mai/tcEvKFD/iYLxTK932V6r7Bc73eZ3quRtjRRcgCbyWQy/dM8ZyeTyWQyjclinMlkMgOgFzEWkctE5EsicreIvKaPY+gKEXmbiNwnIgufUy0iF4jIrSJyl4h8QURe0fcxtYWI7BSRfxCRzxbv9Tf6PqYuEJEVEfmMiHyw72NZNDoX49JUwh8Gvgt4kYh8V9fH0SE3AqnyG4fOGvBqVf1O4DnAyxf43J4CLlXVpwMXA5eJyHN6PqYueAVwV98HsYj0ERlvTiVU1UeB6VTChURVP8aS5Fyr6r2qeltx/xiTL+15/R5VO+iEh4uHq8VtoUfDReR84EeAt/R9LItIH2Jsmkq4kF/YZUZELgSeAXyy3yNpj+KS/XbgPuAWVV3Y91rwJuBXgebFuzNz9CHG0dMEM+NCRPYC7wVeqaoLu/Kkqq6r6sVMZmA9W0Se2vcxtYWIXAHcp6qf7vtYFpU+xDhkKmFmpIjIKhMh/lNVfV/fx9MFqvpN4KMs9tjAJcCVIvJVJtbipSLyJ/0e0mLRhxiHTCXMjBARESYzj+5S1d/u+3jaRETOEZHHFPd3AS8AvtjvUbWHql6vquer6oVMvrMfUdUX93xYC0XnYqyqa8B0KuFdwHtU9QtdH0dXiMg7gb8Hvl1E7hGR6/o+pha5BHgJk6jp9uJ2ed8H1RLnAreKyB1MAoxbVDWne2Vqk6dDZzKZzADIM/AymUxmAGQxzmQymQGQxTiTyWQGQBbjTCaTGQBZjDOZTGYAZDHOZDKZAZDFOJPJZAbA/wdQyIGw+64UIwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.contourf(XX, YY, Z_var, levels=30)\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can above see the variance plot." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Air quality 2d map \n", "\n", "Now, we will be using GPs for predicting air quality in New Delhi. See my [previous post]() on how to get AQ data for Delhi.https://nipunbatra.github.io/blog/air%20quality/2018/06/21/aq-india-map.html\n", "\n", "I will be creating a function to visualise the AQ estimations using GPs based on different kernels.\n", "\n", "The shapefile for Delhi can be downloaded from [here](https://www.arcgis.com/home/item.html?id=165e7c8ae6744dd5ad04537c6f938ffd)." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import os\n", "df = pd.read_csv(os.path.expanduser(\"~/Downloads/2018-04-06.csv\"))\n", "df = df[(df.country=='IN')&(df.city=='Delhi')&(df.parameter=='pm25')].dropna().groupby(\"location\").mean()" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
valuelatitudelongitude
location
Burari Crossing, New Delhi - IMD245.58333328.72565077.201157
CRRI Mathura Road, New Delhi - IMD265.66666728.55120077.273574
DTU, New Delhi - CPCB214.33333328.75005077.111261
IGI Airport Terminal - 3, New Delhi - IMD130.66666728.56277677.118005
IHBAS, Dilshad Garden,New Delhi - CPCB212.58333328.68027577.201157
ITO, New Delhi - CPCB220.50000028.63169477.249439
Lodhi Road, New Delhi - IMD176.08333328.59182577.227307
Mandir Marg, New Delhi - DPCC82.00000028.63726977.200560
NSIT Dwarka, New Delhi - CPCB184.58333328.60909077.032541
North Campus, DU, New Delhi - IMD147.83333328.65738177.158545
Pusa, New Delhi - IMD112.00000028.61030477.099694
R K Puram, New Delhi - DPCC103.60000028.56461077.167010
Shadipur, New Delhi - CPCB213.83333328.65147877.147311
Sirifort, New Delhi - CPCB222.25000028.55042577.215938
US Diplomatic Post: New Delhi46.62500028.63576077.224450
\n", "
" ], "text/plain": [ " value latitude longitude\n", "location \n", "Burari Crossing, New Delhi - IMD 245.583333 28.725650 77.201157\n", "CRRI Mathura Road, New Delhi - IMD 265.666667 28.551200 77.273574\n", "DTU, New Delhi - CPCB 214.333333 28.750050 77.111261\n", "IGI Airport Terminal - 3, New Delhi - IMD 130.666667 28.562776 77.118005\n", "IHBAS, Dilshad Garden,New Delhi - CPCB 212.583333 28.680275 77.201157\n", "ITO, New Delhi - CPCB 220.500000 28.631694 77.249439\n", "Lodhi Road, New Delhi - IMD 176.083333 28.591825 77.227307\n", "Mandir Marg, New Delhi - DPCC 82.000000 28.637269 77.200560\n", "NSIT Dwarka, New Delhi - CPCB 184.583333 28.609090 77.032541\n", "North Campus, DU, New Delhi - IMD 147.833333 28.657381 77.158545\n", "Pusa, New Delhi - IMD 112.000000 28.610304 77.099694\n", "R K Puram, New Delhi - DPCC 103.600000 28.564610 77.167010\n", "Shadipur, New Delhi - CPCB 213.833333 28.651478 77.147311\n", "Sirifort, New Delhi - CPCB 222.250000 28.550425 77.215938\n", "US Diplomatic Post: New Delhi 46.625000 28.635760 77.224450" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "import geopandas\n", "gdf = geopandas.GeoDataFrame(\n", " df, geometry=geopandas.points_from_xy(df.longitude, df.latitude))" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "gdf.plot()" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "def plot_air_vis(df, k, shp, title):\n", " m = GPy.models.GPRegression(df[['longitude','latitude']], df[['value']], k)\n", " m.optimize(max_iters=2000)\n", " y_t = np.linspace(28.38,28.9, 40)\n", " x_t = np.linspace(76.82, 77.4, 40)\n", "\n", " XX, YY = np.meshgrid(x_t, y_t)\n", " Z_pred = np.zeros_like(YY)\n", " Z_var = np.zeros_like(YY)\n", " for i in range(40):\n", " for j in range(40):\n", " Z_pred[i, j], Z_var[i, j] = m.predict_noiseless(np.array([XX[i, j], YY[i, j]]).reshape(1, 2))\n", " \n", " data = geopandas.read_file(fp)\n", " fig = plt.figure(figsize=(6, 6))\n", " plt.contourf(XX, YY, Z_pred, levels=30,alpha=0.6,cmap='Purples')\n", " plt.colorbar()\n", " gdf.plot(ax=plt.gca(),markersize=gdf['value'],color='k')\n", " data.plot(color='k',ax=plt.gca(),zorder=-1,alpha=0.4)\n", " plt.gca().set_aspect(\"equal\")\n", " for a in [100, 150, 200,250]:\n", " plt.scatter([], [], c='k', alpha=1, s=a,\n", " label=str(a) + '$\\mu g/m^3$')\n", " plt.legend(scatterpoints=1, frameon=True,\n", " labelspacing=1, loc='upper left',ncol=2)\n", " \n", " plt.title(title+\"\\t\"+str(m.objective_function()))" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "k_2d = GPy.kern.RBF(input_dim=2, lengthscale=1)\n", "k_2d_rbf_2 = GPy.kern.RBF(input_dim=2, lengthscale=3)*k_2d\n", "k_2d_rbf_3 = GPy.kern.RBF(input_dim=2, lengthscale=3) + k_2d_rbf_2\n", "k_matern32 = GPy.kern.Matern32(input_dim=2)\n", "k_matern52 = GPy.kern.Matern52(input_dim=2)\n", "\n", "k_rbf_matern = k_matern32 * k_matern52 + k_matern32*k_2d_rbf_3\n", "\n", "\n", "fp=os.path.expanduser(\"~/Downloads/wards delimited.shp\")" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_air_vis(df, k_2d, fp,\"RBF\")\n", "plot_air_vis(df, k_matern32, fp,\"Matern32\")\n", "plot_air_vis(df, k_matern52, fp,\"matern52\")\n", "plot_air_vis(df, k_2d_rbf_2, fp,\"RBF*RBF\")\n", "plot_air_vis(df, k_2d_rbf_3, fp,\"RBF*RBF+RBF\")\n", "plot_air_vis(df, k_rbf_matern, fp,\"Matern32*Matern52+Matern32*RBF\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There you go. Till next time!" ] } ], "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }