{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "*This notebook contains material from [cbe67701-uncertainty-quantification](https://ndcbe.github.io/cbe67701-uncertainty-quantification);\n", "content is available [on Github](https://github.com/ndcbe/cbe67701-uncertainty-quantification.git).*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [11.0 Predictive Models Informed by Simulation, Measurement, and Surrogates](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.00-Predictive-Models-Informed-by-Simulation-Measurement-and-Surrogates.html) | [Contents](toc.html) | [11.2 Markov Chain Monte Carlo Examples](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.02-Contributed-Example.html)

\"Open

\"Download\"" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "# 11.1 Gibbs Sampling to Approximate Bayes' Integral" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "Created by Pedro Amorim (pamorimv@nd.edu)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "The following text, examples, and codes were adapted from these sources:\n", "* McClarren, Ryan G (2018). Uncertainty Quantification and Predictive Computational Science: A Foundation for Physical Scientists and Engineers, Chapter 8: Reliability Methods for Estimating the Probability of Failure, Springer, https://doi.org/10.1007/978-3-319-99525-0_8\n", "* McClarren, Ryan G (2018). Uncertainty Quantification and Predictive Computational Science: A Foundation for Physical Scientists and Engineers, Chapter 11: Predictive Models Informed by Simulation, Measurement, and Surrogates, https://link.springer.com/chapter/10.1007/978-3-319-99525-0_11\n", "* Yildirim, Ilke (2012). Bayesian Inference: Gibbs Sampling, http://www.mit.edu/~ilkery/papers/GibbsSampling.pdf" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "Models can be used to fuse experimental and simulation data, as long as we attend to the dissonances between those two. To do that, we can use calibration techniques to account for those dissonances. One of the ways to combine simulation and experimental, or, better saying deterministic and stochastic data to use Bayes' rule." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "$$\\pi(t,\\epsilon | y,x) = \\frac{f(y|x,t,\\epsilon)\\pi(t)\\pi(\\epsilon)}{\\int dt \\int d \\epsilon f(y|x,y,\\epsilon)\\pi(t)\\pi(\\epsilon)}$$\n" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "The likelihood, if assumed to be normal (for example), can be solved. This way we will have a closed form for the prior." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "$$f(y|x,t,\\epsilon) = \\frac{1}{2\\pi^{N/2}\\sigma^N} exp{\\left[ -\\frac{1}{2\\sigma^2} \\sum_{i=1}^{N} (y(x_i) - \\eta(x_i,t_i))^2\\right]}$$" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "But if you don't know the measurement error, you will have to evaluate the denominator of Bayes' rule, and after each step re-evaluate your QoI. This process can become not only very tedious, but also very expensive as your model becomes more complex. To avoid this numerical integration, you can approximate your integral via several methods. **The one discussed in this notebook will be Gibbs Sampling**, although other methods such as Markov Chain Monte Carlo." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "Assume that you have a joint distribution of two variables $\\theta_1$ and $\\theta_2$ about and **can** sample the conditional distribution of a bivariate distribution $p(\\theta_1 | \\theta_2)$ and $p(\\theta_2 | \\theta_1)$." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "To conduct Gibbs Sampling, you should follow these steps:\n", "1. Give an initial value for $\\theta_1^{(0)}$ and $\\theta_2^{(0)}$\n", "2. Sample $\\theta_1^{(j)}$ from the conditional distribution p($\\theta_1|\\theta_2^{(j-1)})$\n", "3. Sample $\\theta_2^{(j)}$ from the conditional distribution p($\\theta_2|\\theta_1^{(j)})$" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[11.1 Gibbs Sampling to Approximate Bayes' Integral](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1-Gibbs-Sampling-to-Approximate-Bayes'-Integral)", "section": "11.1 Gibbs Sampling to Approximate Bayes' Integral" } }, "source": [ "Gibbs Sampling is yet another Markov Chain. The Markov characteristic lies on the fact that the the next value for a parameter solely depend on the knowledge of its current value, and not on its previous values. \n", "**This method will fail if you have independent variables.**\n", "According to the law of large numbers, and the central limit theorem, the average of the results of this Gibbs Sampling will generate the expectation value of the quantity you are trying to measure." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "source": [ "### 11.1.1 Example: Multivariate distribution" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "source": [ "Suppose you have a multivariate distribution $\\theta$ ~ $N_2(0,\\Sigma)$ with $\\Sigma =$ $$\\begin{bmatrix} 1 & \\rho \\\\ \\rho & 1 \\end{bmatrix}$$\n", "\n", "\n", "The conditional distribution for each of these variables is given by:\n", "\n", "$\\theta_1 | \\theta_2$ ~ $N(\\rho\\theta_2,[1-\\rho^2]$)\n", "\n", "$\\theta_2 | \\theta_1$ ~ $N(\\rho\\theta_1,[1-\\rho^2]$)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "outputs": [], "source": [ "import numpy as np\n", "from scipy import stats\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-white')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "outputs": [], "source": [ "mean_x = 0\n", "variance_x = 1\n", "cor_xy = 0.3\n", "\n", "mean_y = 0\n", "variance_y = 1\n", "cor_yx = cor_xy\n", "\n", "x = np.linspace(-3,3,1000)\n", "y = np.linspace(-3,3,1000)\n", "xgrid,ygrid = np.meshgrid(x,y)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "outputs": [], "source": [ "position = np.empty(xgrid.shape + (2,))\n", "position[:,:, 0] = xgrid\n", "position[:,:, 1] = ygrid\n", "\n", "gauss2d = stats.multivariate_normal([mean_x, mean_y], [[variance_x, cor_xy], [cor_yx, variance_y]]) " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "img = plt.contour(xgrid,ygrid,gauss2d.pdf(position),15,cmap = 'jet')\n", "plt.clabel(img, inline=True, fontsize=8)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "outputs": [], "source": [ "def gibbs_sampler(dist1_i,dist2_i,correl,steps):\n", " \"\"\"\n", " Returns values for a bivariate normal distribution using Gibbs Sampling.\n", " \n", " Parameters\n", " ----------\n", " dist1_i, dist2_i : float\n", " The initial guesses for each variable\n", " \n", " correl : float\n", " The correlation between the two variables.\n", "\n", " Returns\n", " -------\n", " count : list(int)\n", " Steps conducted in the Gibbs Sampling.\n", " \n", " val_1 : list(float)\n", " Values for the variable 1 after running Gibbs Sampling.\n", " \n", " val_2 : list(float)\n", " Values for the variable 2 after running Gibbs Sampling.\n", " \"\"\"\n", " #Initializing empty lists\n", " count = []\n", " val_1 = []\n", " val_2 = []\n", " \n", " #Appending initial values to each one of the return variables\n", " count.append(0)\n", " val_1.append(dist1_i)\n", " val_2.append(dist2_i)\n", " \n", " #Running Gibbs Sampling\n", " for i in range(steps):\n", " val_1.append(np.random.normal(val_2[i]*correl, 1 - correl**2))\n", " val_2.append(np.random.normal(val_1[i+1]*correl, 1 - correl**2))\n", " count.append(i+1)\n", " \n", " return [count,val_1,val_2]\n", " " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "outputs": [], "source": [ "#Running Gibbs Sampling 100 times with the initial guesses (-2,2) \n", "iterations,xvals,yvals = gibbs_sampler(-2,2,cor_xy,100)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Plotting the results:\n", "img = plt.contour(xgrid,ygrid,gauss2d.pdf(position),15,cmap = 'jet')\n", "plt.clabel(img, inline=True, fontsize=8)\n", "plt.scatter(xvals[0],yvals[0], c='blue')\n", "plt.scatter(xvals[1],yvals[1],c='red')\n", "plt.scatter(xvals[2],yvals[2],c='green')\n", "plt.scatter(xvals[21:],yvals[21:],c='black')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "outputs": [], "source": [ "#Running Gibbs Sampling 100 times with the initial guesses (3,3) \n", "iterations,xvals,yvals = gibbs_sampler(3,3,cor_xy,100)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "nbpages": { "level": 3, "link": "[11.1.1 Example: Multivariate distribution](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.1-Example:-Multivariate-distribution)", "section": "11.1.1 Example: Multivariate distribution" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Plotting the results:\n", "img = plt.contour(xgrid,ygrid,gauss2d.pdf(position),15,cmap = 'jet')\n", "plt.clabel(img, inline=True, fontsize=8)\n", "plt.scatter(xvals[0],yvals[0], c='blue')\n", "plt.scatter(xvals[1],yvals[1],c='red')\n", "plt.scatter(xvals[2],yvals[2],c='green')\n", "plt.scatter(xvals[21:],yvals[21:],c='black')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "source": [ "### 11.1.2 When will the method break?" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "source": [ "Gibbs Sampling will not perform well in cases where the two (or more variables) are independent from one another (the conditional probability of two independent variables is zero)." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "source": [ "Furthermore, the method will probably perform poorly in situtations where your surface contains several minima/maxima. In this case, we will most likely have uneven sampling of the several basins we will have in the system.\n", "\n", "Below let's see an example with two independent variables." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "outputs": [], "source": [ "def f1(x,y):\n", " return np.exp(np.sin(x) + np.cos(y))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "zgrid = f1(xgrid,ygrid)\n", "img = plt.contour(xgrid,ygrid,zgrid, 20, cmap = 'terrain')\n", "plt.clabel(img, inline=True, fontsize=8)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "outputs": [], "source": [ "def gibbs_sampler_f1(guess1_i,guess2_i,steps):\n", " count = []\n", " val_1 = []\n", " val_2 = []\n", " \n", " count.append(0)\n", " val_1.append(guess1_i)\n", " val_2.append(guess2_i)\n", " \n", " for i in range(steps):\n", " val_1.append(np.exp(np.cos(val_2[i])))\n", " val_2.append(np.exp(np.sin(val_1[i+1])))\n", " count.append(i+1)\n", " \n", " return [count,val_1,val_2]\n", " " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "outputs": [], "source": [ "iter_f1,xvals_f1,yvals_f1 = gibbs_sampler_f1(0,0,1000)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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beeKdQn5cU8/fr+9LRlJkYvYfiUBIo7DcS362ncr6AI9d0weApZuaeO2LEq6anNPJK2y1/l9b7OIvXzUSb1X47IpUju/eMd/TNQ06l3xfwnr1OMgshYZrqHG/Q0DVfyvcktTuwl0fCrLB3cwmj4sCr5ttPg/Ffi9lAR8t4YObtG6QJNLNUWRHWcmLstPTZqe3LZp+9hh62RwY5I51BqTbZF481sTt/Q38dZXKE+tahXz6ICM39DFg6cBmWH5V55VFLq4aGc3Fwxz83/wmeiUbyU8+uGrbLiHeALF2Iy/cNoCPF1Tx8JsFnHLnUu67uCfnjkuPBDP/ACzb1MT8lfU0u1XOGJ2Kpgle+LiIG8/O40/Hp+Es9XT2EqnzaNz4UR1znX5OzI/ixSlJHVItWebRuX+lyn8KVdAM4L4HPDOBII02uOyM1tdduH6Xja699pCE26eFWdrcwOLmepY1N7KipZGKoH/n8zbFQHernW5WO2Pik0m3WEg2WYg3mogxGLEbjFhkGYMkIwEagpCu49c0XGGVJjVEvRqkOhigIuCnxO/lh8Ya3qos3nkMsywzwBHLsJh4jolNYFRsIt2s9g75/XeLlnl7rJk7B+jcvTzEHctUnt8U5tGhRqZ2Uzrk7mB1eYhReRb6pprYWB1ia11rcBMgFBaYDvDCcVDinZ+fbwT+DeQCZuARp9M5+2D2tSuSJDHlhHSO6RfHXS9v4r6ZW/h6SS0zru4dscJ/pwghkCSJ5VuaObpXDCP7x/Hl4lrGD03k04XVvPF1GQvXNHDj2Xmdus75Th83fFRPS0Dn8cnxXDWy/bvKuUOC/1un8vSGMIFwEDwvgutJEC27vU41wPTxu4j3ddfBSy8d0LFUXWdxcz3z6qv5rqGG5S2NhH91ofayORgTn8zg6DgGOGLoZ48hwxLVISLq08I4PW42eJpZ625mVUsTb1cU83JpIQDp5ijGxiczITGFExNTybC0b0zhqASZbyZZmF+hcdfyEBcuCPHMBpmnRxgZndq+F+awLlhaEmBibytP/9DMZSOisZpkihpUft4eINGuMMCx//s7KJ93fn7+ZcBRTqfz1vz8/ARgtdPpzN7l+VwOwOe9J3RdMGteOU/M2gbA7ed35+KTMo/46rAIrQghWOls4dOFVcy4ug9zl9fR4lE5e0waSzY1Ud0Q5KQRSZRU+0mJN5MQ3bGNnPaGX9V58JsmXv3FRe8UI/+cmky/dm4qpemC17dq3L8yRI0fJN8HiJa/gla2120kAfqDHJBwN4SCzKmt5IvaCubWV+PWwiiSxNDoeMYmJHN8XBIj4xKJM3bOud6BJnQ2eVwsaqrnx8ZafmiopSYUAGCAI4bTktI5IyWTYTHx7Woh60LwdqHG9JUq5V7BWbkKTwxr30Kf1xa7CKiCRp/GA5PiUTXB91v9vLKohSqXxindNWbdeSJ0oM/7Q+CjXR63e56fLEtcfFIW44Ykcv8/nTz8RgGf/1TNw1fm079bx/VAjnB4kCQJTRdsKvawrcJLXloUK50h5vxSgy4Em0vcnH5cCn1zD8AUaWfWVwa5+v06ttSqXHNsNA9Mimv3MWU/VGrctjTE2kbBsckyNcXHIdSV+9wuu4X9Eu66YIBPasr5oLqUHxvr0IQg3RzF1PRsTk5MZ1xCMjGdLNb/iyK1uk8GOGK5NrsHQgjWu1v4tr6KL+sqeaJoC49t30y6OYqzUzM5NzWbY+MSD1nIZUnikp4GpuQpPLU+zOPrVOaUatzSz8D9g4xEt0PflKtGRlPlCvPSz62ZdXfNbuCioQ6eOiOR535qoWfC/hf4HFK2SX5+vgOYDbzmdDrf2eX/uRyi5b0rQgi++KWGGW9updEV4sITM7nt3G7E2LvWTLkIB8YPq+spqfazpcRNToqVk0Yk8dXiWswmmQsnZmK1dE5bV00XPP9TC4/OayLBqvDClETGt3MKYJFb545lKp8Ua+TYJR4fZmTqW/v5fRbwdsp1XHjdnoXbp4X5vKaCtyqLmVtfjSYEvWwOpqRm8aeUTI6O7jqTew6GJjXEl7WVfFxTxjd11QR0jSyLlQvSc7g4PZd+jph2OU6lV2f6SpU3t2okWeDRoSYu7dk+vWE0vVV37/migdvGxpIeY+C+OQ10t3t54pqJ0JEtYfPz87OAT4GXnE7nv//nuVzaUbx34PKqPP3+dmbNLSfWbuTPU7tz7rj0iCvlCGB7pZclG5tIijUzcVgSQghmzi7BbFL4anENaQkW/nFLfzRddOrnWdyoct2HdSwpDnJ6fyvPnJlIfDv2a/aqrX7tv68Po0hw70Ajtw8wYJ2x/xb9+LzxzL9k/m7/E0KwvKWRf5Vv572qUlxhlWyLlfPTczg/LZuBjtgjWrD3hjusMrumgneqSvj21wvVsJh4Ls/sxvlp2e1yV7GiTuOWJSq/1OocnSjz3DFGjk1pn+/EN5t9zFrpZkimmaUlASblhnjs6g4U7/z8/BRgAXCj0+n8bg/P59IB4r2DTcVuHnq9gOVbmumTY+e+S3pybP/4dj9OhPZhe6WXx2cVcuHETGbNK+fSk7MY2T+ed+aVU9kQZOq4dNZuc3HqyJSdAczDjRCC/yx3c/+XjUgSPHF6AucNbr9MByEEHxRp3LGs1Z96QXeFx4cZybTJSA/u/zH6JvZl4w0bdz52h1XerijmlbJtrHM3Y1UUpqRmcWlGHmPik7v0hPb2pjYYYFZlCa9XbGe9uwWrojA1LZvrsnsyNObQ9EEIwbvbNe5aplLhE1zcQ+HxYa0dDQ+ValcYV0AnxaHw2oJyXrt1/3zeByve/wDOA7bs8u+TnU6n/9fnc+lA8YbWk/nl4lqeeKeQiroAJwxJ4M7ze5CffXh76kbYN4XlXlY4m5k6PoNfNjTy8YIqHru2D4GgRrSt811fVa4wt3xSzzynn+O7W3hhStLOFK72YEOjzk1LQiyo0hmcIPHcMSaO+zWT4UCEO92eTsXtFQA4PS5eKN3Km+VFuLUwg6PjuDqrOxek5RBt7Nhz6tND1KluGjUvLZoPjxbAq4cIiTAaOkK0+o8NkkKUZMSmmImWLcQZbCQa7MQrNmSp4/K5hRCsaGlkZtk23q0qxauFGRYTz005PTk3NRuzcvBWs0cVPLZW5cn1YUwK/G2wkZv7GTC2w91ieXOYOz8uZ9UTJ0FnT9LpSPHeQTCk8cbX5bz8WTEef5gzR6dyyzndyEqOpBZ2FbyBMI+9VcgNZ+WSlmDh/97eiixLHNM3juMHJXSqtf3RWi93zW4gGBb8bVIcVx4T3W7Vva6Q4IFVrfnDMSaYcbSRq/INO91CpodMqGL/il2ilCi8071811DD08VOvq6rwiTJnJeWzQ05PRkeE9+udwk1YRebA1UUBKopDNZSHKqnNNRAZaiZFt2/7520gQGZFGM0WaYEsk3xdDMl0dOSQm9LGr3MKZjl9rv4tKgh3qos5sWSQrZ4XaSaLVyf3YPrsnuSaDr4jo+FLp1bl4T4skynT6zECyNNjEs/dFfKvNVl3Dh1AvwRxHsHzR6Vlz8r5q1vytF0wTknpHP9n3JJT4z0DO8KLNvUxPrtboqqfCTHmrjs1Gwc1s6rEat1a9z+eT1zNvoYlm3mpSlJ9EhqH9HYcYt9+9LW1L+r8g3MGGrcbUZkxkNxVOrN/LZUck/IzLpqG09s38JadzMpplYBuia7BynmQ/9+14fdLPMWscJXxEpfCev95dSH/1sUZZfN5JmSyDbFk2GKI80YQ7IhmniDjVjFil22YJVNmGUDCjISEjo6qtAJ6CE8ehCX5qdJ81EfdlOjuqhUmykLNVISaqBcbaK1qL5V2HtZUhkUlc3RthyGWfPoH5WBQTo0YdSFYF59Nc8WF/BNfRUWWeHyzDz+nJtPd9vBZzTNKdW4eUmIIrfgvDyFp0YYybAd/F1Fl5lheTjFewfVjQFe+qSYD76vBODssWlce2ZuxBLvYArKPGwqdnPm6LS9vsbtC7Ou0MWogZ0XnxBC8Ol6L3d+3oA3JLh3Qiw3jo5ptyDppiadGxa3ukiGJcq8eKyRYUm7C8/1V2fwcnrlvoVbMkLSWHL73ESx30sfWzR35PXmwvScQ7r1rw+7WeB2stDj5GfPVgqDtUCrcPaNSueoqCz6R2XS15JOviWVFEP7FyTtSkBX2RasZXOgik2BCtb6ylnjL6Uu7AbAJpsZbsvjeHsvxth7M9iajXIIbpdN7haeLnbyVkUxYSE4Ny2Le7v1ZWB07MGtPyx4fF2Yx9apGGV4cLCRmw7SlfKHFu8dVNYHePmzYj76oRJNh8mjUrhqcja9czovb/j3yKqCFmbOLmHe8jriHUZ+fmkUZlPXmty+g1q3xp2z65m9wceQTBMvTkmid0r75jjftDjErMIwjw0zcmUvw+4XhVmz4PLLMdwdQmvrFMlmSB4PqZPBFMvI2ATu6daX05LTDyoAqQudVb5SvnGtZ55rI6v9pQBEyxaOtfdgpK0Hx9i6MciaTZTcNXK+hRCUqY0s8xax2LuNRZ6tbAq0GmSxipVxjj6cFN2fE6P7kWA4uDhXZcDPs8VOXi4txKOFOT05g7/06HfQwc1tLp2bF4f4qlxnQJzEy6NMjDrArJSIeO9CdWOAf80p5b35lfiCGqOPiueKU7M5bmD7+Qj/aGi6YP7yOv71ZSkrnS3E2AxcMimLaSdnEefo/ADk/7LDt33PFw14gjr3TIjjptExHdIFsCUkCGmtrUh349fJN2ga0gPs2eqWTZA8EdImgzGGcQnJ3N+9H2Pjkw/4u6oJnZ89W/mseRVftqyjOtyCjMRwWzcmOPoyztGHQdasQ3ZHHE7qVDc/epzMd21ivnsTtWEXMhKj7D04PWYwp8cOIs144NZzkxri+eICni0poEkNcWpSOn/r2f+gRFwIwWclramFZV7BFb1as1ISLPv3+XUJ8VZjuhct/GRmp4v3Dpo9Ku/Mq+A/35RR1xyiR4aVi0/K4szjU7FHdZn+XF2aJrfKhz9UMmtuOeV1ATKTLFx6ShbnjkvHZuma57DKFeb2zxr4erOPoVlmXpiSeNBd3A4JhwM8rX5kw1/Y3fKWjK2WdtoZYIqlv1nwyuAJjIpLOqBDCCFY7ivmg6ZlfNq8irqwG6tsYqKjH6fGDGTiIVipXQ1d6Kz2l/JlyzrmtKxlS6AKCYlRth6cGz+MM2KGEGc4sMIql6ryQmkBTxU5aVRDnJ6cwUM9+3NUdNwBr8+jCh5arfLMhtZg9ZPDTUzrqezzItwlxLtl2N1F06dN4PrxWV2qiCao6nz5Sw1vflPGhu1ubBaF049L5bzx6QyIlN3/BiEEK7Y08953lXy1pJaQqjOibyzTJmUxYVhSl/psd0UIwayVHqZ/2UgoLJh+YhzXjYrunPXOmgUXXbTz4fUnw8vDAUmGpDGQfjaYEzC5nHw38XqOiz8w0a4MNfNO0xLeaVxCYbAWs2Tg5OgBnBV3NCdG98faDq4QIQRu3U9duJnGsJtmzYNb8+HVA/j0IAE9hCo0dHQEApnWDoMmyYhFNmGTLdjlKGIUG3EGBwkGB4mGGIxS+1z0nYEqPmlexUdNK9garMEkGTglegAXJoxkgqPvAfnIXarKcyUFPFm0hZawytS0bB7qOYCeBxHYXN+oc+2iEL/U6oxJlXlllInebYxi6xLiDRSNvv9bHjkjk9TDMEn5YFiztYVZ8yr48pcagqpOnxw7Z49JY/KoFBJjO2hw7BFCZX2Az36q5uMfKymu8mOPUjhzdCoXTMzs8rn0xY0qt35Sz4/bAhybZ+G5sxLpnnjo7pw3CsL0jJHIsUtkHkhGQW4ulJTsfCiAk28cxrcnnAdRGeDeyuQ185n96I/7vUtN6Mx1beD1hp+Z69qIjmCUrQcXxB/D6bGDiVEOLkAf0sOUhGooClVREqylNFRLpVpPldpIQIT2uI1JMmCRTBglA7Ik/ZptItCERlCoBPQQOr/VGQmJBEM06cYEMo2JZJuSyTWn0s2cRoJycEFSIQRr/GW827iED5tW0KB5yDDGclH8sVyaMIoM0/5b0U1qiCeLtvBssZOgrnNlZjce6NGfNMuBnVtdCP7l1Lh7eQhPGO4ZaOC+o4x77B3eJcTbn3Ni0emX3cEL5+eGWJdxAAAgAElEQVSg6YJt9SrJDoXYqK7nY3N5VWb/XMNHCypZv92NIkuMGhjPacemMHFoYpcoJDkc1LeEmLusljm/1LB0UzMAw/vEcvbYNE45JqXTeo3sL5ouePUXFzPmNqHI8LeT47l0mOOQ87b9YcEzG8IEdUGvaJmvyjVmjW374j5rFkyfDqWlEBYy8q/i9XPffO684gKW9OlFn9JyHn3zfc6wxiDNn9/m/nbQEPbwRsPP/Lv+Z8rURlIM0VwUP5KLE46lm/nA3Sxlah0b/cVsCpTgDJRRFKxGo3U8mAGFDFMC6cZE0owJpBjjSDLEEK84iDXYiVFs2GULyj785kIIAiKEW/PTonlp1Fw0hF3Uqs1UhxupDDVQrtbRrHl3bhOn2OllyaS3JZt+llz6RmVjlQ8sLTKkh/natZ43GhbxvXszEnBKzECuSRzL8fZe+31xqA76eaRwE6+WFWKSZW7P7c2d3XrjMByYLtT6BX9eGmLWNo1eMRKvjjIxNm33c9clxLt55INFX94ziqG9s5jv9DFrpQdFhvOH2Nu9yU97srXcw2cLq5nzSw3ldQGMisSxA+I5cXgS44Ykkhz3+7LIy2v9fLeynm+X1bJ8czO6gO7pViYfl8oZx6WSnXJkpFiurwpy6yf1rCoPcVLvKJ48I5HMQ6yS1IVgu1uQZZO4/KfQTsG+e1mIHLvE9X33/OOdNQuuvhp8vzaIKyKXcFqAuy8/n09GjSC9vpGH3v6QafMXYrjmmv1q6brZX8mLdd/zftMygiLMGHs+VyYezykxAzEeQNCxMtTACp+T1b5C1vq37RRMuxxFb0sWvSyZ9DCnk2dKI8OUeFgDmi2al+JgNduClWwNVuAMlFESqt3phulpTmewtQdDrL0YGJWH6QCKeYqD9bze8DNvNiyiUfPS15LO9UkncG7ccCz7uZ9tXjf3Fazjg+oyUkwWHurZn8szux3w9J95FRrXLgqx3S24rKfCkyNMxP86hq1LiLen36VFS5+7GI8xmUafzi9Ffj5e5+Xso+xcNtyBzSRhaef2mu2JEIK1hS6+WlLL3GW1lNW29hPul+dgzKAERg+MZ1CvGEyGrvse9oQ/qLHS2cxP6xr5cXUDW8tbf7w9M22cODyJk0ck0zunY6aXdAR+VeeJ75p54acW4qwyj52WwFkDbYe8/p+rNWaXatT4Bbf0M/JhUevMw4eONvFztUZTSDA5e88Xh928JLYQ+Rd8xPbTdEzhMHd/NJs/f/IVtlCodfpNG8IthOBnz1aerZ3HPPdGoiQj58eP4JrEsfSJSt+v96EJjXX+In7xbGSpdzPlaj0ASYYYBkX1YKC1GwOi8sgyJnXJz9yrBdgUKGG9v4i1/m1s9pcSRsMsGRlk7c5IW19G2vqRZNy/ToIBXeXjphW8VPcD6wPlJBkcXJM4lisTjyfeYNv3DoClzQ3cvmU1i5rq6W+P4ek+g5mYmHpA78sXbg1oPrk+TIIZnj3GxNRuChUVFZ0v3v7cSUU/zryDx5dauHyEg+E5Ft5b5SY7zojDIvH6Uje9k41cNNSB1dS1BVAIQUGZl+9W1rNgdT1rtrrQdIHFJDOkVwzD+8QyJD+Wgd2jO7VqcE80e1TWbG1hpbOF5ZubWVvYsnPk0tG9YzlhcCLjjk4kL63r3g3tjR8L/dz2aT1FjWEuONrOI6fEE2c99Eo8WZL4+zqVvrEy+bESbxeG+VOOgb+tVjkpQ2ZOmcadA4yMSdvzsWQZhKTDpO1w8XpwBOk2T+e9/zzKsOZNkJ0NM2bsdWyZLnS+dq3nqZpvWeEr3ikwVySO3q9skbDQWOkrYIF7LYs9m3DpPoySgcFR3Rlu681QW36HiLUuWoOVAoGEhIzc7sfw60HW+raz3OdkiXczVWoDAH0s2RxvH8gYx0BSjftO8RNCsNBTwHO185nn3ohNNnN5wnHclDyB1P24EAgh+KSmnDu3rKHI72VycjpjCgbz/L0OSkv3+RHvZG2DzlU/h1her3NKpswDeXVcPLmLlMd/XRZNnUfj8hEOrvmgjnE9o3BYZHolGdlSo1Lv1bhnwoGn4nQmbl+YxRubWLyhkWWbmnGWeRCidQZs93Qr/fKi6Z1jJz/bTo8MK2kJlnbrl7E3NF1QXuunsMJLQamXTSVuNmx3U1rT2odCkSX65toZ0S+Okf3iGN4nrsv7sPdGvUfj/q8aeX+1h24JBp75U2K7DAH+sCjMqnqdJItEokUi0yYxLl3hn84wFgUmZSqsrG/tZZFt37vBkTqhlpozV0H3ZlifBK8Oge1x5ORAcfHej68Lnc9b1vBE9VdsDFSSa0rgluSJXBg/cp+39kIINgaKmedayY/udbh0HzbZwkhbX46zD2CYrRdR8oG5/IQQeHQvjeFGGrUmWrQWWjQXHs2DR/fi1/0E9ABBEUIVKvqvvvIdSEgYJANGyYhZMmOVo7DKUdhlOw7FQYwSTZwSS7whnnhDHIYDzDwRQlASqmGRZyM/edZTECwHoJ8llwnRQxjrOIoYZd/W9EZ/Bc/UzuXjppUYJJlLEkZxW/JEMk37vggENI1/FBfwN+dGAmEdPs2H9/uC34jVCjNn7lvANV3w/KYw969UMbRUkvLiqdAVxDszM3Pn6J/0GIUEm0KzX+fMATbeX+0h2a6Ql2BgS41KnxQjOfFHXnDQ5VVZs9XF2sIW1m93s7HITXVjcOfzZqNMdkoUmckW0hMspMSbSYo1Ex9tJNZuxGE1EGVWsJhkjAYZ5Vdd0HQIqTqBkIYvoOH2hWnyqDS6VOqbg1Q3BqlsCFJe66e81k8o/N/PMjPJQr88BwO6RTOoZzQDe0R32Vzs/UXXBe+s8vDXrxrxhHRuPj6GO06IPWT3my4E723XWFWvc2t/A/9yavSIlqjwCcanK2xt0SlwCaYfZWgz1bAy4OfOLWt4p6oEqc6K+Ocg+CkLkNr8IetC54uWtTxW/SWbApX0MqdwR8okpsQN3afPuT7cwrctK/jGtZwKtR6LZORYe3/GOQYx1JqPSd6/z1wVKlVqNZWhKqrUamrCtdSqdQREYLfXRUlROBQ7NtmGVbZikc2YJTNGyYgiKb9a263CqqETFiohoRLUg/h0Pz7dh0f34NY8aGg79yshEafEkWJMJtWYQroxjQxjGjFKzH5b75WhBhZ41vCdazVFoWqMksJIWz9OiRnO0dZe+0wX3B6s45maucxqXIwsyUxLGMUdKSftV+FP1kA/5RPWwsRiqI+Cfw2CH7PJyZHavGDvSrFb58mFJcz78yToKuINrT88WZZ48JtGJuRHkWRTWFYaRAj4fL2XKYNsfLnJx+0nxDIo48gPCja5VbaWeSis8FJc5aekxkdFXYCqhgDNnvaZGhfvMJKWaCEr2UJ2ipW8NCvdM6z0yrJ3OffNobK5JsTtn9WzuDjIMblmnjkzsV1L2z8tDpMfI5Ntl5ixRuWxYSYWVmn8WK3j1wR3DzQSs5cxWKqu83xJAQ9s3YAqdO7K60Pu8j48NN3Q5i20EIJ57k08XDWbtf4yeplTuDv1FM6KPbpNodGFzkrfVmY3L2axdxM6OkdFdeOk6GEc7xiwX1kZXs1LUaiE4mAJJaFSqtTqnZZzlBRFqjGFZGMSSYZEEgzxxClxxCoxmNqpfF4XOl7dS1O4mQatkfpwA3XhemrUWurD9TsbVTlkO9mmLHLM2eSZckkzpu6znawQgm3BSr5xreA79ypaNC8phjhOjRnBKTEjiDe0na9dGmrgyZpveLthMQZJ4crE47k95aQ2XVayDEIA+fVw/Uro2QRrk+HloxEl+z/Zp0sELNlLefyCQj/fbvbhDwsuGGLnuYUtnDnAxpRBdhYU+qlxa5w3uGvnER8qwZBGfUuIBpeKy6vi9oXxBjRCqk4oLNB/HZEkyxImg4TFpGC1KDiiDMTYDcRHm0iMNR1xwdKDwRfS+fv3rQFJh1nmwZPjufBo+yG7oYrcOpuaBKdmt1q2IU2gSPBLrU65VyBLkGCWmJDRtuW7qKmO6zauYL27hVOS0niuz5D96lK3zFvEA5WfsshbSK4pgXtST+W8uOFtirZPD/Btywo+bV5EuVpHrGJjUvQwTokZQaap7TRBTWiUhEopCGxla3AbVWo1AEbJSKYxg2xTJpmmzAO2djsCVahUqzWUhyooC5VTEiqjSWsCWi8s3cx59LJ0p5elJzFK28KoijCLPBuY07KUVb6tGFAY6ziKs+NGk2/JanPb4mA9/1f9Fe81LcUmm7k5eQI3Jo3HpvzWuNwtSC3/Gu+Ytg6sKnf37M1fuvfDZti3QdWlxRtaMwRq3RrJDoVH5zXz8CmtvqXL36llyiAbp/Tdv6hvhN83X23ycs8XjZQ1twYkH5wUT6K9ffz0HxaFeXCVyi+TLbsNlr1lcYitLp0xqQq39DPssZACoDEU5J6CtbxWtp0si5V/9BnCmSkZ+xS9bcFa/lb5OZ+3rCbZEM1dKSdzacKoNt0bdWoLnzb/xBctS/DqAXpbsvhT7HGMsR/V5nZBPUhBsJCN/s0UBLYSEAFkZHJM2XQ3d6O7OY8MU/oB+5p3RRcaqgihoaILDbHT790asJQlAwbJiAHTIV0QWjQXRcFitgW3UxjcRovWOsA33ZhGH0tv+kX1IcXQdg+Y0lAtnzf/wreu5fj0IAOi8jg3bgwjbX3btOa3BKp4qGo2c1rWkmKIZnraaVwUP3I3l9b/pocCRKUGGPryWn4yF5ETZeXFvkM5NbntLKEuL947UDXB379vRheCZLvChqoQz519YIUGEX5/lDSq3P1FA99u8dM7xchTZyRybF779WXX9NZ+2/MqNBItEk+NMBEIt1rbNy9ROb+bstdMEiEE71WVcuvmVTSoIW7N7cXfevTHvo+CjaawjydqvmJm/Y+YJAM3J0/gpqTx2JW9v6+yUB3vN/7AXNdKdHRG2wdwTtwY+kbl7HWbsAjjDGxlrW8dzuBWVKFila30seTT25JPD3M3zPsZuFRFELfWiFdvwqs349Nd+HUPAeEhqPsIiQA6++8CNEoWzFIUZsmGRbZhlaOxyjHY5FgccjxWORppP8rYW4dF1OIMFLA54KQsVI5AkGRIYmBUP46yDiTRkLDX7b1agK9cy/ik6Sdqwk1km5KZGncCE6KHtBljWOrdxv2Vn7LUu52+lnRmpJ/F+Oi+O5/ftTBrV1fZT421XLNhBZu9Ls5JzeIffYbstUrziBHvHXy81kNuvJEeSUZiLHKnTVaJ0LkEVJ3nFrbwzIIWFBnuHh/HtaOiMXZA97+wLjDIEhcuCHJZTwOKBKoOJ2bu/cdb4vdy7YYVfFNfxbCYeGb2H8agfTQt0oTO6w0/80jVFzRpPi6JP5b7004jpY10tOJgNW83fscC9xoMksLJ0cM5N34MacY9C5IQgnK1gpW+1azzbSAgAthkG/2j+jIgqh+5ppx9+ol9upumcCVNWg0tWg0tWh0B4dntNWbJSpTswCLZMMs2TJIFo2TBIJlQMKBIBqRf2yUKBELoaIQJCxVVBFFFgJDwE9C9+IUbv+5G3yVoKWMgWkkgWkkiTkkhTkkjRklG2cedgVtzs9G/mfX+jRSHShAIsoyZDLEN4qioAVj2EgPQhMYC9zrea/qBbcFKUgxxXBA/jkkxw/bac0UIweyWNfyl8lOKQ/VMiu7PoxlT6GFObnONIV3jie1beGTbRiyywt97D+KKzG6/afF7xIl3hD82Qgi+2eLnvjkNFDeG+dMAGw+fGk9GTMcFXXcYCAurND4r0Xj6mL0H4jSh81JJIfcWrANgRq8B3JjTc5/ZC794Crmz/APWB8oZbe/J/2Wcw4Covf8eSkO1/KdhHj+412CWjJwZeyxT4sbsNcAW0AOs9q1luXcl1eEajJKRfpY+DLIeRXdz3l7L1ltTAJuoC5dQHy6jIVyBX7QOPpCQiZZbBTRaScQhJ2BX4rDJMShS+2aCtZbNe/HqTXi0Jlx6PS6tnhatlqBo9T/IKMQqKSQaskgyZJNgyMAg7f2zatFaWOtbzyrfWmrDtRglIwOi+jHCNoxM457dWkIIlno381bjfDYHSkk2xPJqzm1tphkGdZWX637g7zXfEBAqNyaN586USW3eSQEUeF1cs2EFCxprGRufzGv9h9FjlxjJ7068C+tU/v59Ew9Miie9A3/QEQ4/2+pV7p3TwDynn/xkI49PTmBMj8NTkr8/d3hOj4srNixjUVM9kxLTeKX/UHKi2o7J1Kou7q/8hPealpFpjGNGxtmcGTN4r8eqVZt5s2Eu37qWY5KM/Cn2OM6NH7NX8ahV61jsXcpq31pCIkSGMZ2htiFtWplhEaI2XEK1up0atQi/aPUZWyQ7iYZM4g0ZxO+npdvRCCHwCw9N4SoatUoawuU0adUIdCRkEg2ZpBi6kWbsjl3ec19+IQQVaiXLvStZ61+/8zyNtI1goLX/Hv38QghW+ApY5dvKNUmn7ddaa9QWHqj8nHealpBujOWxjCltftY7jvPP8u3cuWUNIV3nkV4DuCW3NZXxdyfeH67xcNPH9RhkuG1sLDccF92lS+sj7Bt3UOfJ75t5eVELFoPE3ePjuPrY9nORBMKC+ZU6p2UfXIBTEzrPFBVw/9Z1WBUDz/YZzMXpuW3+KHWh8++Gn3mw8nP8QuXm5PHcnjxpj9kJAG7NxzuN3/NJ88+A4PSYY7kgfhxxbaSyVanVPF/7MgYMDLT25xjbcDJNGXt8rSqCVKmFVISc1ISL0QljwESyMYdkQy7Jhhxsctw+L2BCCHQCaMKFhhddeNHwoRNEiCCC0K++b+3XFD9Ba+a28uufERkTkmRGJgpFsqJgQ5EcKDiQ9qN/SliEaAhXUBsupkYtwqW3lvnb5TjSjb3IMOYTq6Ts8b0E9SCrfWtZ4l1GbbgOu2znGNtwjrENw6q0T2XxUu92bi9/j3X+csY7+vJU5nn7bBRWEfBx3cYVfFFbyTGxCbw+YAT2ZtfvS7yhNYh1/1eNzNnoIyfOwCOnxnNqX2vEN36EoeuC91Z7eOjbJmrcGhccbeevJ8WR4mg/a29lvc4lPwbZ3CwoOMdCj+gDu9AXeF1cum4pi5sbOCM5g5f7Dd1nG9CN/gpuLnuH5b4ixtjzeTpzKj0tKXt8bVhozG5ezH8a5uLW/UyMHsJlCZNIMe670lgIwTLfCvpZ+mLfg2WuC40qdRtl6iaq1W3oaERJDtKNPUkz9iTRkInchlhqwosq6lBFA2HRSFg0EaYZwW+n3EuYkTEjYUSSjEgotIq29GvWiY5AQwgVnRA6AdjFx70DBQcGKZY4ZRJyGy6R1venAhoBEaJK3UaVWkBduBSBwC7HkWXqS5axL3blt+dSCEFhcDuLPL9QECzEKBkZbh3KcY5jiVEOrJd/RageDZ1s03993WGh8Vr9Qh6p+gJVaNydejI3J09ss3GYEIJ3Kku4efMqvFqYe6JTePfSq6Gzxfuil79l+gk5BzV3b28sKPRz75wGttSojO5mYcZp8QxIO/KLev4ILCkOcN+cBlZXhBiaZeb/JidwdFb7fXaqLnhkjcqMNWFSoyT+OdrEpDYCkP+LLgQvlmzlbudaLIrC832GcEF6TpsGQlBXebzma56tmUuMYuXRjLOZGjd8r9ss9zp5se5zSkO1DLH25NrE0+hh2bPlfCC4tHqKQ2spDW0iJPyYJRuZxt5kmnoTr6Tv1bUQpp6gXklIVKGKGjT+G6RUsGOQ4jBIsSjEtFrKkgMFKzJR+5UZ8r/oIoSOD0140XATFi400YyGlwTlzH24GzQCohifvgWTlIpV7osiRRHU/VSqBZSrm6kLt87nTFQyyTUfRYax1x599dVqDQvdP7POvwEJiaG2IYx1jN5n3ji0CvfGQDFLPJs52taLU2NG7PZ8ZaiZuyo+YHbLGvpbMngh+yKGWPeeIQStbWev2bCCbzZvJPfhZ6CzxXv7NV9yXO9M3hhtIsfRfm6OsCZ4fZmbx+Y10RLQuWionekT40l2HJm9On7vlDSqPPhNE5+u95IerfDXSfGcc5StXfu9bGxqtbZXNQgu6q7w3EgTceb933+Z38tl65fxXUMNpySl8Vr/4aTvw9pe5i3ihtK3cAarmRo3nMcypuy1Cq9abeTF2tks8m4gw5jIdUmTGWnru1OsdhTNxMjRWBXrfvnjdaFRqRawLbiaBq0cCZl0Y09yTP1JNuTtMcNEE14CooSgXkpQlCNobeOgYMckpWGUkjFKSRilRGSpaxlFQmgIVGTJgkdbg0GKwSLn7fZ/n+6iNLSRktB6vHozRslCrmkA3UyDsSm/LXNvDDfxo/snVvnWADDcNpSxjuNxKPtXKPho1TtcGD+eHPNv77LmNK/h9or3qVFd3Jw8gXtTT21zwLMQgrlbNnHzmWdBZ4v3Na/N5YHiJCTguWP2b4bbgdDk0/j79828ttiFxSBxy9hYrh8V3eW7FP5RaPFrPLWghVcXtaDIEjcfH8NNx8dga8fPRxeCZzeEuW+lisMIM0eZ+FPugblg3q0s4bqNKwgLwTN9BnNlZrc2v6cBXWVG9Rc8X/sd6cZY/pF1AROj++3xtaoI82HTQt5qmIcEXJQwkSmxx+9WXLPev5FN/s1km7KoUCs5M3Zym4UzIT1AUWgt24IrCQgPNjmWPNNR5JgGYJZ/68MNi2b8+jYCYjuqqAVAxoZZysIsZ2KW0lGktqtChdAQugdd9yCEF6H7EMLf6vMWIRBhBBqI/zanavVlG5AkI0gmJMmCJEchSzYk2Y4sO5AOYMCCJrxIGGnW5iNLVuzyYAxSDD59y6/vS8Ei5WCS0gGJunApRaE1VKpbEeikGXrQ0zKMBCXzN59vU7iZH9w/ssq3BoNkYJR9JMfbR+2WE78joFkSqsEuR1GpNtCkubk95Zxf16f/JgOpRfNzf8UnvNm4iJ7mFF7OvoThtry9vscuFbAMx6QzbWGIhdU6Z+YozBxl+u1k7UNkW73KA1838uUmH+nRCtNPjOO8wfYuO1/x904oLHh9qYsnvm+mya8zdbCd+0+Ma/dMoRK3zqU/hVhQpXN6tsLM40ykHMB3y6WqXL9pBbMqSxgZm8BbA4/ZZ2n7al8pV5e8gTNYzaUJo3gk/Syi9zJybIO/mKdrPqQ4VMNo+wBuSDqD5F2aHLk0F9FKNHOav+Z4x3FEKw7mu35AkWROcIz5zf78uofC4HKKgmsJEyLJkE0P81BSDd1+48LQhBe/vhW/XoBKHQBGKRmLlIdFzsVAwl5cKTq63oQerkPTGtC1BnS9GaG74DejzCQkydwqzBhAUoAd6xCAjhBhECpCBGFPBT2SGVmORVbiUJQEZCURRUlCknc/p0Jo+EUBZikTTXgJinIcylB0EaA+/ClWuTchUYlNHohRSsEvtiIThUXKJiD8bA+uoSi0hpDwE6+k08sygjRDj9+cg3q1nrnu79ng34hNtjExehxDrUOQJRm/HuSF2s/ZHqziuqTJ9LZko6Ht7NYYFhqVagNuzUe/qNzd9vu9ezM3lr5NpdrMbckncm/qqXusju1S4p2ZmYmmC57ZGGb6CpVYE/x7tHlnT4n2ZFGRn79+9f/snXd8HdWZ/r8ztxfpSlddVrUtuTfce8EYsDGE3iEhpEN6sptsdpNdstlkN5vNbhqEBEILHYzpuOJeZVu2bMvqvev2MnNn5vz+kJF0cQdM2P3x/GN/7pmZe++Zq+eced73fd5+KlpVxuda+PHlXi4b4/g0qPkxwTAELx+O8NN3fDT2ayweZedfVnqZnP/RPn4LIXiyVue+nSoG8N9zrHzuAp/qdvl6ue3QTprjUf5x1AT+YdT4s3ZE0YTOr7re4eedr5NtSeW3hXewfFh13XDEDIWHe9/gFf8OsswevpF9HXPdQ8cG9RAV0QP0az5mOC+hQW0kYkRY6bmCoB7icOwI891zh10vRHV8N43qIQwMCixjKbfNIs2c/KguhHFSEz6KIpoBgUXKxiGV4ZBHnXZ3LUQCXetA19pO/tsNg8FJGdmUjiynI5vSkOTUk7tlN7LkBMl2QXMuhDawWzciAzt4I4hhBDF0H4buQ4ihNmiS7MFkzsVkzsdsHgGSB4VG4kYDsmRDoJFmWkJEr0QVPaSbLyVm1CFhQhdBBPrA/wmTIs9FkMBAokk9Qo2yh6gRwCNnMdY+n3xL2Snfo0Vt5Y3A2zSpzeSac7gqbSUjbSUAbAlVsidSzVz3OOa7J1Idb6Ey1oAQBi/6t7LKM5u7Mlac8v2DeowftL3AE/07mWQv4E/Fnz2lqcYnjrzfw+F+gzveVajsF3x5rJlfzrLgsny0xCqEYM3hCA+87aOhX2N+qZ0fX5HOzKKPrrz6UyRDCMHm2jj/8nY/B9sGFs6fXOFleflHv3D2K4KvbFd5rkFnQY7M44utlF5APMUQgl/UH+Mfaw5TaHfy1JS5zEvPPOs5TUof9zY/yu5IPTekzeA/C24h3Xz6FLOKaA3/0fkc3Zqfa9Pmc0/mFae4/O2L7EcRKuPt49gd2ctkx0Q2hjYz1TmFOqWefEseM13TUYwo1cou6pWDCAyKrBMYY5tzSiaFLqJEjSoiRhUGEWScOOWxOOSxWKTkY4UQGEY/WqIBPdGMrnUABiAhm7IwmXOR5WxMlmxkOf0DBSU/KAwjhqH3oOs9GFonutaJOFmsI0luzJYiTJZiJHMmCm04pFEoohVDxHGZJhLS95MQPdjlEuzSKAzCRI0TOOXxRI0j6CKKRcrCIU2gTTvO8fgOwoYPjymbCfaF5JiT5TIhBEfiR3kz8A5+3c9kxyRWelaQakqlM9HP+mAFq9Pm8lz/u6giQbm9gCa1i3szV9KV8LExdIDpznLK7ckZd28EKrmv5UlCepwH8q/lS5lLBt/3E0veAIou+NH+BP95eKAT91+X2Jie+dH/QFRN8Jc9IX65yUdP2ODKcU7+YUU6E3I/OhvRTwF7muL89B0fW1HjOHwAACAASURBVOvjFKaZ+eFladw49eJIVhvbde56V6UrJviX6Ra+P+ns/trvR5cS585DO1nX18XNeUU8NGEGHsvZfw8v+vbxjZa/AvCrwlu5KX3maY+LGyp/7H2dNf7tFFgy+X7uzUx0DGmbfVofVbFjTHCMp0VtxSbZGOcYQ2X0CDERY4ytnHq1AYfkoNw+khplHyfiu9FIUGSZwDj7vFMCbgnRT0Q/SFScAHRsUiFOeSJ2qSSJdIUQGHo3CbUWLVF7UgJhQKIwF2G2FGAy5xGP9uHr2Y/F6sGVUoIzpfCsgVNfz36C/ccwdAXDSCAMbSBF8GRnElkyI8lmZNmKbLZjNjswmV1YrCmYralYrGlY7V5MZ8iDF0IgDD+a1oaeaEbTWkCogIzJUoTFMhrJnEeUY+giik0uRMaOQQynPIaIfgSTlIIi2jCTilOeQNiowCmPwSS5EcKgOXGU4/EdRAw/maZCJjqW4DXnvW+eE7wb2sqW0HZMkokVqZcy2zUzKSD8TP8mXg3s4js5NyAjcTTejMfkokXtZppzNLNd45Ku2Z0I8rWWJ3k7eITLUyfyh6I7yTSnfHzkPWbMmNnAL6qrq5e87/USzpHnPfwP8afTLXxvsvkjTSl8D2HF4MHtAf5nS4CwKrh2kou/X55GWdanJP5hcKhN4WfrfLxTHSPLLfOdJWl8dnYqtjO48H0YqCcX/F8e1ij3SDz1ARb8zX1d3HpoJ/5Egv8Zf8k5g5JRQ+XvWp/nsf7tzHKW8ufieyi2nd5bpDrews86/kpLoofr0hZyb+aV2IdlFbSoreyO7KVBaWSV50raEx2km9LIt+ahC52D0Uou9yzHjJnWxDGOxN4lJkLkmUczwbGYVFPy+6qih7C+j7ioB0w45bG45Cmn7LINPUhCPU5CPY4wAoCMyVyAyTISi7UULaERi7SBEHgyJtLTvgW3pwyz2UlH0+sUld921jnt79pDsP8ossmGbLIiSaaTi4bEgN5tYBgJDF3F0ONoWhQ9EUGI5Fxvs8WNzZGFzZGD3ZmLw5WPxXZq8ZAQBrrWgZaoR0vUIYwQIGO2lGCylmOxjMQgTkDfgl0uRjE6SDHNIqBvJs10KSbJiV/bhFMei1UeImhD6DSohzge34EiohRaxjPRsRiHnCwz9Wl9vOJ/nVqljkJLAdelX0O2eaCd3Cv+HXQk+pjkGElHoo9x9iImOEp4rO8dxtuLmeocRUiP4jWnDvs+god6N/OP7S/jNbv4U9HnKA04Lz55jxkz5vvAnUCkurp6zvvGSjiPIp1+RfClbSovNOoszZN5YrGVEa6L85jmi+r8z5YAD+8MEksIbpji4nvL0hmd9b+vc8/fEpXtCr/Y4OeNo1HSHDL3L/LwxbmpuG0X576dCBjcumkgBfCLY8z8avaFSW3vySQ/OnGYMpeb56fNZ1LK2Tuj1MS7uLPxYY7FO/h29gr+Ie+q07rNGcLgWd9mHul9C685hb/LvYVLnGVJ47IkUxk9wv7oASY5JpBvyeOt4DqmOiYTMAL0az7muefglGUORtfTp7eSZsphsmMZmeZkv+mE6CWk7yYuGpGw4pIn45InY5KGgntCGGiJehLKEXStBeAkYZdhtY4mHuvH4crH0FU6ml7D7SkjHukgxTuOnrbNFIy6EZPZTlvdS3hzZuNwf/gc9OEQQqDrMTQ1iKr4UOP9qPFelFgPSqxnkNhNZidOdxHOlGJcqaVY7RmnSBqG3kVCrUFTqxEihiQ5sdjGIVtK0eQoMg4skpeQsQePaRGaCBDUt+M1rzztZ0sIher4bmqVvUjIjLXPo8w2I6moSQjBwVglrwfeQjEULk1dwkL3/CQfmcf63uF276XUKx3si1azwD2Jp/s3kiI7STE5ucN7adJ3qYy28NmmP1Ov9PB1MZdnb3kALjJ5Xw9UAk98UPKGgcl4tEbn6ztVbCZ4ZKGVa4ovnrdCT3iAxP+8K4iiCa6b7OI7S9M+0q4s/xdR0aLwy01+3jwWJdUu87UFqXxpvgeP/eKQthCCv9QMBCXtJvjzAiufucAUQH9C5a7KXbza3c4teUX8ceJMUs5h3fqyv4KvNT+BTbLwcPFnzxiU7NdC/Fvn0+yPnmCRezLfybmBlJOl1v2aj6rYUSyShTnuWehCp15pZLRtYLe/NbSdS5xTT6ahGRyNb6NO2Y9FsjPBvogS66Qk2UMTQUL6LmKiBgkrbnkqLnlyUh62MOKoahWJeCVChJEkNxbbeCzWccimVAb+zgW1h39L4eibkGUrwf6jZOYvIByoxzBUQr7jpKSPITV9HH2du7A5snB7Rp11vgxdQ9MUdE3B0DWEGCabyGZkkwWzxYbJfO7gpjB0lHgPsUgbsXAr0VAzCTUAgNmaittTRkpaOa6UEiR5OKEa6IkmVLUKPdE4cLylFIttKrIplzi1xIwarFI+VikLm3x2OSii+6mMbaRDqyVFzmCac8UpC2lYj/Bq4HUOx6oosIzgxvTr8Jq9aELnkb63cEhWujQf16ct5M3gXnLMadzkXcKjvW+xyjMnKesIIKTH+Wbr07xcvZWs+7fDxyCblADPfBjyfg/Dd1hfGzcQzDyTEf5HgZ6wzm+2BnhkV5CIKrhqgpNvLU7jko+w4u9/O4QQbKuP81+b/WyqjZPmkPnK/FS+NC8Vj+PiFUQFVMGXt6s8U//Bn8gOh/xcW7GNpliEX42dxn3Fp2YUDIcmdH7S/gr/07Oemc5SHi+5lxHW05erH4rW8UDHk4SNGPdlfYZVntlJxTYbg+8y1z2LneE9LE1ZRL41j+p4DdvDO8i15GIIg8s9y+lLtHAw9g5REaTEOpmJ9sVYh6XIGUIlbOwjbBxCQsYlT8YtT0OWhgKghhFGjR8goVQBCUzmAiy2KShxCUNXcHtGI59MSQv0HSbQX0VG7lwslhTCgTrcnlFIsoWQ/zg2eybRcAtqvB+zxU3WiCUIwyAS7CIS7CYa7iUe7ice9aPEg6jxMLqmcD6QJBmLzYnVnord4cHuSsfhzsCZkokrNRe7M+2090dVfESCDYQDdUSC9QgjgWyyk5I2Bk/GBJwpyfq+YYRIKEdIKEcQIo5sysFqn47JXIokGUgXYLrVkajjUGw9USNAiXUKkxxLsLyvcKkyeoRX/K+hobHSczmznDOQJInDsQbskhWrZOaxvnf4p/w7Afht9xoWp0xh0rB4yHsQQvBO3R6+vuouOA/yvuj2Ye+tcOeqGCv3yOxYbecHexP8V5XGti6dZ5faGJN2cXZ2WW4T/3Kll28s8vDg9iAP7wzyWlU7C0fa+foiD5dehEyJ/y3QDcFrVVF+syXA/laFbLeJn1yRzj1zUkm5SPLIe9jXo3PzJpWm8EAs5O8nX1hQEuCFjhY+e3g3qWYz786+9JzZJH1amHsaH2FT+Dj3Zi7i5/k3nDYHVwjBc753ebj3DfItGfyi4AuMsiWnepkwMc89h1JbMbVK/WBTgDH2MsySCQmZQmselbH1NKmHSZG9LHLdRqa5IOl9YuIEQX07BjEc0lhSTbMxSUNVf4YRQY3vO0naBmZrOVbbNGRTBpIk09+1DiEM7M4crLZ0EmoIkEjLmIyvex+u1FJsjkx8PQewWFNIqAHSM6ejqYJoKIG/u5v6I/9FNNTLYH63JGF3pGF3ppGaXoDVnoLF5sJssWMyW5FN5pO6t3RS79bRNRU9ESehxkgoEZR4kHjMj6+3AT0x1NzYbLHjTsvH4y3Ck1lMWmYJFpsLqy0da1Y66VmXYBgakWADId9RQv7jBPoOYbak4MmcQlrmVKy2NGQ5BZtjLlb7DBLqcdR4BfHIG8imDKz22Zgtp491aCJASN9Nqmne4DznWUaRZS7kWHw7Nco+uhL1XOK8ghzLEPFOdk6kxFbEC741vOJ/jZp4HdenXzNIzg1KJ/nWDPq1EAeiNUSM+GmJe2B6JSZcgFXCRd15r1+/nmi6h7Xdbez09/HQhBlkWs/9+PR6s87dWxTiOjw438odoy++RWUwbvDYnhAPbg/QHtQZm2PhK/M93DjVheP/EwfDYNzgqX0hHtoRpMmnUeo1c98iD7de4r7ocyCE4L+rNL6/N0GuQ+LppVbm51zY7t4Qgp/UHOGBuirmpmXw4rQF5zSUOh7v4Kb6P9Ce8PPrglu5I2PuaY+LGQq/7HqeTaGDLHJP4ns5N+M6jXezIQxUoaIIhXqlkUxzBjvDu5nsnMRYezm9Wgv7Iq8TFSHKbbMYZ5+fZMGqCR9+fTOqaMci5eCRF2KVh/K5hVBQ4/tR44cAA4t1LFb7DORhnhyq4iPQdxiL1YPFmoortRRV8dFe/wp2Vx6RYAM5hZfh9oyiu20b0VCAYF8Pvu4GtEQMAKs9hVRvESnp+bg9ubhSc3C4vMimj+ZvUQhBQokQDfUQDnQSDnQQ8rUR8rcjjAHd252WhzenjIy8saRlliIPk0oMQyPsP4G/9xCRYN3A8Z4yvDkzcaaUDnKMEAaaegIlvhdh+JFN2dgc8zFbkhWBmFGLT1+PhESKPAeXnCxd9Wsd7I++QcjoY6R1GhMdSzAP80wxhMH28E7eDq4n1ZTKbd6bBt0eN4UOsj9ygvGOYqY5R5NnyTjjZvbjzDYp4QzkLSSpYeP69RQUFLBs90bmp2fyQPnk8752W8Tg1k0qW7sMPl8+4FXhvIgyyntQNcFLlWF+ty3IkQ6VdIfMnTNTuGd2CsXe/5vBzeNdKo/sDvH0/hBhVTCr2MZ9CzysHO/8WKpUfYrgnq0qa5p0ri4y8egiK94L8CUBiGgad1Xu4qWuVu4pKOX342dgM52d/DcEj3J345+wy1aeKv0is10jT3tcV8LHP7Y/Sp3Swb2ZV3JL+tJzbkAqIgfZEdlFkbWQS5xTybfkcSy+nWplJy45jRnOVWSYh3ZZQhiEjQOEjD1IWEg1zcUpjU8ioYRahRrbhRBxzNZybPY5SaT9HkK+alSlHzXeh6r4yMpfjM2RhWEksFhT6eusINjfR0/bMUK+VgDszjTSc8rwZo8iLbMU2xlkDAA1HiUS9BGLBIhHw6jxGJoaR9NUhGGcJCYZk9mM2WLFYnNgc7iwO1NwpqThdKchn+He6HqCUH8rvp56fN21+HsbEYaO2eIgM38cOYWT8eaUJy0iCSWAr/cA/p4D6FoEmyOHjNy5pHrHDxLwAIkfR4ntRogwJkspdscC5GHpl5oIEtC3oIgmLFI2aaZlWKShTB9daFTFt1Cr7CNFzmCWazUeU3IHnRa1laf7nyOkh7kq7cpBGUUT+mDQ+2wqxCcqz/tXoR7cJjP/Uj7pgq+jGYIfVyT42SGNSekSL1xqo9zz8eyChRBsb4jzxx1BXj8aRQDLyhzcPTOFK8Y5L0prro8TsYTB2iNRHt8bYkdDHKsJrp3s5otzUz9W3X9/r8GNGxVawoJ/n2XhmxPMFyxXtcdjrN6/hYNBP78cO5VvlpSf8xp/6dvGt1qeYZw9j2dHfoVCq/e0xx2LNfOj9kdRRYIf5d1+Sr7umbAp9C4u2cUs1wxiRog9kVfp01spsk5kqmN5UjeYhPDh19eTEN3YpVF4TAsxSUN2r7rWQTy6GUPvxWQegc2xAJP5zG23+rv3oWtREAKT2Y5hJLA7Cwn2ddHeuI9AbyMAqd5CskZMJDN/HK7UU72w49EwfZ1N9He14O9pJ9DXSbC/m4QSO8s3l5AkOBuvSJKMy+Ml1ZtNWmYe6dmFZOQW4cnMQ35flauWUPB119DTVkVP+1E0NYbZ6iS3aCr5pTNJSR9aAA1DI9h/hL7OXajxXqw2L5n5C0n1ThhG4hqqcgg1thfQsdqnYbXPHPBf4b3uPrUE9C0YqKTIs3HLU5N24d2JRvZGXych4kxxLKfEOjlp7qJ6lOd8L3JCqWWmczqr01aed5PnTwx5X/HUI5hdTv5z3LTBsYZomNpomDKnmxLn+Tl3vdWqc8dmBdWARxdaub704+300erXeGJviCf3hWgP6mS6ZG6c6ubmaW4m53+4rtgfJwxDsKdZ4ZkDYV6ujBCMG5R6zdw1K4U7pqd8ZJ3ZzwdCCP5YrfH1nQlyHBLPLbMyJ/vC3/9wyM/Kfe/iSyR4duq8c3bnFkLw087X+I+uN1meMp7HSu4l5Qytq7aFj/CvHU/hNafws/zPn9Y57kx4L02wJ9HMnuhaNJFgmnMFRdYhAyshBFGjiqCxHTCRZlqMQy4bNq6gRHeQUI8gSW5szgWYLaf6cZzuO76nO4cDnbTX76GjcT+6puBMySav5BJyiqbicCUvWLFwkPbGo3Q2naC7pYZgf/fgmDMlHU9mLqnp2bjTMnGlpuNwe7A7U7DZnZitdkxmyyD5DlRy6miqQkKJocQixCJBoiE/4UAfIX8vwb5OAn2d6NpAOb7ZaiMrv5SconLySsaSmV+SLJXoGv1dNXQ2VdDTVoVhaKR6CykYPY+cwimDu3EhBCF/Nb3tW1FiXdjsWWQVLMPtGZo7w4igxHagqceR5FTszqWYLUWD76WLGAF9M3FRj1XKJ920PMleIG5E2Bd9nW6tkSLLRKY5L0uynjWEwfrgRjaHt1JsLeIO7y24ztJWbUPwAHNc4/B19H4yyHvtO+8wpriYDb2dXJqZyy5fL18/VsE4dyoS8MNR4yl3nZ8JenPY4KaNKrt7DL47ycy/zbBg/piNpzRdsKEmxl/3h3jrWBRVh7IsC9dOcnH1JBfjcyyfOCIXQlDRqvLKkQhrKiO0+DWcFonVE13cPt3N/FL7R2rNej6IaYKv7FB5rEbn8hEyTy6xkWm/8M+wqa+Lz1Rsw20y8/qMRefVDPibLU/zWP927vLO49eFt56xW/ha/w7+u/tlxtoL+Wn+507pbiOEYGdkN9OcU3DIp+rqQgjq1QoqYxtxyenMcX2GVNNQ4NQQCn59E3FRh00qPFlEMvTHrSWaiEc2IkQEi20KNsdspJO7dWHo+HoPkJYxGdl0+hRXX08DzdWb6G0/jiSbyCmcwohRc/BkJPuT+3vaaao+QMuJg/R1DnhhW+1OsgtHkz1iFJn5JXhzCrGdo/XbB4VhGIT6u+ntbKSnrYHullp83W2AwGp3MmLURIrKpzJi1EQs1qEnwoQapbOxgta6XURD3VjtKRSVL2TEqDmYLQOLsRCCkO8YPW2bUZV+XCml5BStwOYY6nCjJdpQohsxDD8W63hszoVD8ywEMVFNQN8CyKSblmOXSwbPFcLgWHwHx5UdpJlymOO6Duf7CnsORQ/zom8NqaYUPptxB5mWU4Pn7Wofdzf+glJbLt9gJdetuAb+1uS9YcMG0nNzebOng6UZ2Vy5712+WzoWt8nMU+1NXJ6Vy215xWc1BBoORRd8e3eC3x/TWJIn8+xSG9kfsUPh+cIX1VlzOMJLlRF2NMQxBJR4zVwx1sllYxzMLbX/zQKdIcVgW32cddVR3j4WpT2oY5ZhyWgH109xsWqC66JnjZwJjSGD6zYoHOgT/NM0M/801fKBdPXnO5q549AuylwpvDFjEUXnIBfV0Li36VHWBA7w3Zwr+Mfc1WdsUPBk/3oe7XubOa5x/FPenUnVkjDQdfxl/1oqogdZ5bkiyUQKBir2DsXW06AeIs88mhmuVUkpZgnRR7/2JjpBUuQ5uOVpw7RtDSW2jYRyGFlOx+5ajsmcO3huNNRMZ9ObKPEe8kpWk5Y5Jem9A71N1B15G193LRark4LR8xgxei42+xCpxMIB6o7sov7wbnw9bYBE1ohSCkZPYsTICXhzC0/raZJQVXzdHfi6uwj09RLy9xMNBolFQqjxOAlVwdB1hBDIsozJbMFqt2NzOHG6U3B50kj1ZpCWmY03Jw932ulbsMWjYTobj9Nad4TW2sMosTBmi5XC8qmMnjyXvJKxw2QQQX/XCZqrt9DfVYPZ6qCofBGFZQswWwbmXBg6vp799LRvwTBUvNmzycpfOLjwCaGhxnajKgeQZDd21wrM5qEnOE348Wlvk6AXtzydFHlW0vx0JGrZG3kNk2Rhruu6U8rrm9UWnuh7GoHgLu9tFNmSc8YBdkeO8c/tj+Pqlaj87IvwSSDv9/K8D4f8vNDZwj+XTaI9HmOnv5epKWnEDYO+hMIi75k1vPfj8RqNL21XybJLvLz84nijXAi6QzpvHIvwelWUrfVxFE1gM0vMLrYxr8TOrGI7lxRYL1pudF9EZ1+Lwp6mONsb4uxvUdAMcFkllpY5WDXeyeVjnaQ7/7bNKja269y0UUET8NTiD+4s+cfmWr5ctY956Zm8On0R6efwJ4kbCe5o/CPvBKv4Wf713Jd96WmPE0Lwx97Xeda3mRWp0/luzk2n7MwTIsFf+56jWjnBpSlLWZayOImAEkJhT2QtXVoD5bbZTLAvShqPGXX49fVIWEk3XY5NHiIJXe8nHn4Lw+jDYpuKzTF3MC/Z0FW6Wzfg69mP2ZpKbuHluNOGtP1oqIeaQ2/Q216FxeameOxiCkbNxWQe2kV2Np3g+P5NtJw4hBAGWSNKKZ0wm+Kxl+B0Jwc+dU2jo6metroTdDTU0dnciK+na6AA5yTMFguuVA8OVwpWhwOL9WS6IAOygZ7QUJUY8WiUaChILBxKeg+bw0l2QRG5xSMZMXI0BWVjSElLlnIMw6CruYbGo3tpPL4fNR7F7cmgfNoiyqYuwD5Meg32t9BQtZ7ejmNYbG5GTriM/JGzBqUXLRGlu20jgd6DWKxp5JWswpU6lLana53EIm8jjBBW+yys9hlJWnlA30pUHMUmFZFuWpFUJBXUe9kReRHFiDDTtZp8y5D8BdCn9fNo7xOEjBC3e2+m3J48DnAs1sQDh/7M/rufhU8SeevC4CtV+xjjSqU5FqVDiTHLk4EsQVU4wO35JSzLOH9NsaLX4Nr1Ct1xwSMLrdw66pPRVT6qGmxviLO5JsbW+jhHOtXB33up18yEPCvlWRZGZVoo9poZ4TGT5TadtUGBEIKwKugO6bQFNJr6NWp7E1R3q1R1qrT6T5YUyzA138bCUXaWljmYXWy/KF4jFwohBL85qvHt3QnGeCTWLLdR9gEDz79qOM53jh9kZVYez0+bj/McqWtxI8EtDQ+yKXSc/y68lc9mLDjjZ/xdz1pe8m/lGs887s/+zCmdaBRD4fG+v9KoNnF12ipmu2a+bzzK9sjzBPRupjpWUGqbknT9sFFByNiFRcrBa7oySSZJqDXEIxuQJDN212WYLUNts6KhZtob1pJQ/XizZ5E1YsngrlFLxGmoWk9LzTZkk4XisUsoKl84SNqGYdB0fD9Hdr5Nf1cLNoeL0ZPnUTZ1AZ6MoR09QKCvh5pDFdQdPkhLzTESykABjicjk5yiUrILisjIG4E3OxdPZhZ2p+uCZEJd0wj6+vD3dNPf1UFPewvdLU10tTShqSoA3tx8Rk6YzKhJ0ygeMx6T2Tzs/ATN1Qc5cWALnc0nMJktjJ4yn4lzVuD2DGWFBPqaqa18HX9PA67UHMZc8hnSs4cqRaOhJjoaX0dV+knPnkl2wTJk+b2ApUo8uhlNrcZkLsLhWpHkLR7RjxAwtmLGg9d8FWZpSPaNGxF2Rl7Ep3cx7X33HyCkh/lL3xN0J3q4xXsjExynBr9bWlpYvnw5fJLIGwZ+wAeCPgwGmrzm2hwsy8hhXW8nG/u6eKBs0nlLKADdMcGNGxW2dBr8YIqZn063XBRzqw+DQNygokWholXhcLvC0a4E9X0JdCP5OJtZIsUmYbdIWE7KCAlDEEsIgnGDxPv6tlpMMCrTwvgcK1NGWJleYGNqge0j7VLzUUDVBV/bofKnEzrXFJl4YrGVFOsHu0f/VneUH56o5MbcQp6cMgerfPadu2IkuLXhITaEjvG7wjvOmMMthODB3ld53reF69MW8tWsq08hJcVQ+Evfk7SordyQfi1TnclprzEjxLbws0SMILNdV5NnGT3s+gYBYwtRowqHVEaaadngjloIgRrfiRrfj2zKw+G+All2D57X27GN3vatWKwe8kuvxpkyFFTraT9K9f6XUWJB8ktnMHLSFYPyiBAGjcf2c3DLqwT7u/Bk5DJ+9mWMnDAL87AnlXDAz9Hd26nas4POpnoA0rNzKR0/ieKxEygYPQa35+xeMB8WuqbR1dJES80xGo9V0XziKJqqYne6KJs6g4lzFlA8ZjzSMG7wdbdxdM966o/sRiAomzyfyQtW4ToZ9xBC0NNWRc2hV4lHfOSVTKdsymostgELA0NP0N22EV/3Xmz2LEaMum5QCxdCkFCrUKLvIsluHO6rMA0zB1OMNvr1N5GQ8ZpXY5WGaehCZXfkFbq0BibZl1JmT17gY0aMv/Q+SVuinZu9NzDJkdyB6ROTbXKm8viorvGD6kp+PmYyHUqc3zfX8PmCkVgkmaiuMzn1/H8sqi64b6fKw9U615WYeHyR9SP3CP+okdAFzT6NZp9Ge0CjJ6LTHzUIKwYxVaAZA/fEYpJwWCRS7DJep0y220S+x0xRupkCjxnzJzxdsV8RXLde4d1Ogx9OMfPAh1hc3yPu2/OL+cuk2edc5DWhc3fjn3g1cIjfFN7O3Rnzz3jsX3rf5vH+dVybtoD7sq45hbhVQ+WxvqdoUpu5Kf16JjsnJo1HjRBbw0+jGBHmuW9I8sEQQsenryMu6nDLl5AizxmmbyeIR9ahJeqwWCdgcy4+2ToMNC1Ke/3LRIINpHonklt85aB1akKNceLAK3Q2VeD25DJ2xvV4MoZ26l0ttexd/xx9HU2kZeYzZeFVFI+dlqQTNx47zP5N66itrEAYBrnFpYybMYeyqTPJyE3WbN9DLBKmr6MDX08Xwb4+Qn4fkWCQeDSCGouRUNUBfxM4qXmbsdrs2JwnNe9UD6leL57MLLw5uaRlZWM6Tb53QlVpPHaY4/t3U3NwH0oshicjkykLlzF14TJcqUMSTyTo4/CON6k5uA1Jlrn+q/+KY5gEpGsqDUc30Fz9Lhabi3Ezriczf8iv3SvCmgAAIABJREFUJhyoo71hLYahkle8Ck/GxGHndhILv44QCRzulUnZKAnRT7/2GgZxvKZV2ORhKYtCZ2/0NdoS1UywL2aMPblBsWIoPNr3BK1qG7d7b2acY+zg2CeevAH+ueYIAE2xCJ8rKGVfwMc2Xw8jnW6K7E7uLyk/7/d7rzrv27sTTM+UefUyG7nOTzax/V9HXdBg5TsKjSHBnxd+uCrZ96SS2/OLeWzy7FP6BL4fQgjub3mKx/t38PMRN/DVrGVnPPZl3zZ+07OGK1NnDXgxn9JOTOfJvqc5odRyY/p1p+y440aYLeGniRsRFrhvwjss0CWETr/+JopoIlWej9s0dWjMiBMNv4ahd2BzLMRimzJI6vFYN601z6IlwuQUXUFa5tTBMX9vI1W7/ooSC1Iybhkl45YNpsjFIkH2bXiB+iO7caakc8mSayidMHswfU/XNI7u2cGut1+lt70VZ0oqk+ctZvL8xWTkJZdlCyHw9XTTVnuC9sYGupoaCQf8g+NmiwV3WvqA5u12Y7XbsVisAzKHJCEMHS2hkVDiA5p3OETY7ycWCSOMgcdOk9lMZn4BeSUl5I8czYjSUVhsyTUGWkLlxIF9HNq2icZjRzCZLUyau5DZV6zGmz0k+4T9vbTWVTF2+qnt4wBCvnaO7nmWcKCDEaPmUjb1KkymAakkoYZoq3+JWLiFjNx5ZI0YKsIyjBCx8KsYug+781IstiGi1UWYPm0tGkG8plXY5aFF2xAG+6Kv05o4dtodeNyI80jv43QkOvls5p2Msg1o7/8ryBvg9e52xrlT2R/o5+mOZh6dNAuPxcoPqw/x49ETz1kh936sbdK4dbNKtl3izcttjL1Iviif4uzY06Nz1TsKuoBXlttYkPvBA6V/bqnj3iN7uSG3kKenzD0vWe1nHa/x8643+H7Olfwob/UZj9sWPsKP2x9jnms8P8m/K8nWEwYI7EX/GiqiB/lM2mpmuWYkjatGnC3hp4kYfha4b3pfxaROv/4WimjEY1qCSx56PDaMKLHwmgFCcF2OxToksUSC9bTWvoBsslIw6sZBS1YhBC0ntlJb+QZ2VzoTZt+KJ6NocKzh6F72vPMMCSXOhDkrmDx/5aA8IgyDqj072Lr2Bfw9XWSNKGT2iqsYN3MuZstQbrIwDDqbG6mtPETjsSpCvn4A3J40cotLTmre+aRnZ+NK9VyQ3q3EojRXH6e/uxOnOxXDMAj7fXS1NNPd2oyh68gmEyNGjmbkxEmMnDgZhyu5DqSvo42969+kcscWDENn4pyFLLz6BjwZZ/euGZx3XaPu8Fs0n9hCSlo+k+bdhcPtPfnddTpb3sbfU0FK2ljyR16TpIPHwq+ja63YnEuw2oYKDnURo097BQ0/GaZV2N5H4Hujr9KWqOYSxxWU2JIX/qgR5Y89jxLQA3wx6x7yLLmfHPL+6dqHuHHMknMe/0DtEW7PL2Gk080OXy9PtTfyH2OnnjMYdTrs69FZ9c5ARsMbK2zM/gCFH5/ig+PNFp0bNirkOgYW0A9TEbu2q41rK7ZxWWYOa6cvPKfGDfBM/26+2PwYt3vn8PvCO89IMDXxNr7e8ltG2vL4z4Ivn5IOCLAxuJn1oU1cmrKES1OXJo3pQmN7+Hn69Dbmu24g21IyOCaEcVIqqcUjL8ZlGnoUN4wosdDLGEYQh3tV0qN4sL+KtoZXsNkzKSy7BYt1IBim6wmO732BzuYDZI2YyPiZN2K2DgTR1HiUnW8+SeOx/WSNKGXeqrtJyxySPVprq1n39GN0NjeQU1jMwqtvYPSU6UnzEgkGOLpnF8f37yXk68dkNlMwupySceMpLBtDqvf0TSguBNUH9oGAeDSKw+0iv3QUbk8ahmFg6BodjQ00n6im8VgVgd4eZFmmeOx4xs2aQ1H52KTKy3DAz663XqVi8zoAZq9YxdyV12C1nV+rw972o1TtfhZJkpg0787BYKYQAl/3Hrpa1uFwF1I4+mZM5vdyxjVikbfQEw3YHIux2oeIeIDA16ATJMN0DVZ56InAEDo7Ii/RrTUy13UdeZZki92AHuAP3X8C4KvZXyDYEfxkkHf898vYsOCfGW07exrgU22NbOzv4tqcAh5qruN7I8deUOrg+1EXNLj8LYWOmODlS22sKPiUwD8OPF2ncde7KpO8Em9ebr+gTu7vx15/H4t3b2RiioeNs5biPocPN8D+aCNX1PyKWa5SXh55/2mdAQH8WpgvN/8agN8XfQOv+dTGvFWxYzzV/wzTHFO4If3aUxoB7I++QXOiipnOqyi0Jnt+B/StRIxKUuV5uE1D1cXCUIiGX8LQ/Tjcq5PMkfy9lXQ0rj2FNBJKlEPb/0Kgt5GREy+nZNyywc/S19nM5pceIhLoZ+qi1Uyce8UgycWjETY+/xSHtm0iJd3LkutuZcKseUlBv972Ng5s2URd5UEMw6BgdDljps+gdPzEMxKhYRiEA35Cvn4iwQCxcBhJlpk8b+EZ74swDHave5NLlizHYrFweNd2xs+ag/nkPQ37/RzctplRk6aQW1RCb3sbNYcqqK7YTywcIjUjg6kLljB2xsykYGuwv4/NLz9D1a5tpHozufyOexg9adqZPsYgEkqcjsYjVB94DZNZYfzMm8gtHjrvvUXU7sihqPw2TOaBhVIInXjkTbREw0kJZei+6yJCr/YSApVM8/WYpeGeKSpbwk8T0vtZknL7KX4oHYlOHur5M9nmLFYqK7h8+eXwtyZv5ffLyR2Rx8by7+M8zc5mOF7sbCHHasduMjHDc3qfiQtBV0xw+VtxjvkFzy69cCP/T3FhePj4QO79olyZtZfZSP2AGSUArbEoM3e+g102sXvuZWSfx46qTwuzoPpnmCUTm8v/jgzz6a0XdGHw920PUxlr4DeF953SHBagJ9HL73oeItucxReyPodFSl44auJ7ORzfxDj7fMbZkwOhEf0wAWMLLnkKHtNQWqIQOrHwGnSt8yRxD+24A31HaG9YgyullILRNyGf1GKVWIgDWx4mGuphwqybySka0swbj+1n26uPYnO4WXztF8guGNrRNRw9zOuPPkg46GfWZStZsPr6JDLu7+5iz9tvUF91GIvVxvhZc5g4d/5p5QdD1+nr7KC7rYX+zg78PT3oujY4brHZ8HgzWbD6M6edbwDD0KmtPERuUTEJVaXu8CFmXXYFSixKd2sLkVCQntYW5l65GsMwqN6/F5vDQXZhET1trVRue5eulmacKanMWHYZ42bNSQp0ttQc560n/kRvRxuT5y/hslvuxmo/9TcjhCDY34WqxDi09TX8vR3klWQTj7RTPu0aCsuG7mXIX0Nb3QvYHDkUjbl9MFg8cB9fQ9dacLhWYbYO5Ylrwk+v9iISNrLMNyT5rseMEJtCTyBLJpa678L2vqrc9zYLo/yl/Pt1/wZ/a/J+4JWH+EL8ee7wzuF3RXd+5O9zLvgUwZVvK+zvNXh6qZUbPmZPlP9f8PujCb62M8GVBTIvXmrD8SFyy+O6zqLdGzgWDrJr7mVMSDnVNe/9MITBjfV/YEu4mnVl32Wqs+iMxz7Vt4E/973Jd3JuZJVn9injCZHgD90PEzRC3J/9ZTzvc+3r01rZEn6aPMtoZjs/k7QjV4x2+vQ12KRivKYrk7I74tF1aGr1SY17KBgfDtTRUvssTlcBhWW3DhF3PETFpoeIR31MWfBZvDlDRR1Vu9exb8MLZBWMYul1X8bhHpBXDMNg6yvPs+ONNWTkjWD1PV8hr2SI1JV4jD3vvMmRXTswWyxMWbCYyfMXYXc6k+fT0OluaaG17gSdTY1oiQSSJJOWlTWY453q9eL2eJJ2wmdDV0sT7Q31pGVmocRijJo0hbrDB4kEg2SNKCDs9zF+1lyqK/aR6vUim0x0NjcxZf4iAv19dLc0c2Tndjoa60nLymbh1ddSWDZm8PpaIsG2V19k11trSc/O5dovf5PsguTfgb+nHX9POyXjZ9Bae5iGqj043B7M1jB9HUcpm3o1ReVDC27If4LW2udxphRTVHbrYPceIVSioZcxdB/OlOsxmYdSBRWj4+RvoACvadUptrJbwn8ly1zMPNf1p0h6bwfW8UbtW7x122twHuRt+slPfnJek38h+O1vf5sGfPNHX/gWjhQXD/ZuZqw9j3H206cgXSw4zBI3lZp4t9Pg11UDzoTjPg1ifqR46HiCr+5IcHWRiRcvtX3o7kf3H61gbXcbz06bd97S2YO9m3modzP/XnAjqzxTznjciXgrP+v8K0tSpvD5jCtPq4e/FVjHMeU4t3lvYoQ1OQNDNeJsCz+HVXYw331jkg+3LqL06a8g4yLDvBpZGm5ZepCEcgCrfXaSVhqPdtFS8zRWe8bJ3d0AESbUGAc2/5FYpJ+pi+7FO0yTPbhlLQfefYXisdNZdsNXsNqdJ68V5aU//IrK7e8yZcFSrv/qt/FkDpFK49EqXnvkj7TX1zJ+9lyuvPMeSsaNTwpYKrEoNYcOULFpPY3HjxKLRBhROoqx02cxZeFiRk6YRE5hEZ6MTOxO1xltXU8HtyeNvOJSUtO9KPEYbk8a3pwcLFYbx/ftwWZ3oGkaQggKRpWhqSoJVQUETceOYug66Tk5TJg1l5YT1VRu30qgr4/8kaMwWyzIJhMl4yZSVD6Oqj3bqdi0joy8EWQOy6Lp7Wyite4whWVT6Gg8Tlr2CArLplBYPodIoIuWmq3YHWmDToU2ewZWWxr9XbtJqAHcaWOQJAlJMmG2lKKpx0+meY4dzNs3SynIOIiISiRMSRW0DjkFi+SgTt2PRbIlBbgBSm0lhIIhNj2zEeC/77//fj9nwUXfiv4gdxUbQ8f4VsvTLHCVkWU5VV+8mEi1Sry5wsaKtxRu3qTy6mUSl3+qgX8keLJW48vbE6wqlHl+mRXrh8w7f7GzhQdbavle6Vg+k3N+7fNq4l38uH0Nl6dO5N6MRWc8LiE0ftH5DGkmN9/Mvu60xN2kNLMjsovZrpmMsZ+aqloZ20BchFjsuiPJq0QIgV/fhIFClnk18jC7V13rRIntwGwZiXVYupiuxWitfQ7ZZKOw7JbBx3JD16jc/hiRUDdTFnyO9Kyhx/JDW1+jcvsblE1dwJwrbh/Ut0P+fp799c/p62znijvvZdqiofJ/LZFg22trOLp7Jxm5eay8+/NkFyR7ayixKNUH9tN4rApD18kpLGLKggnkFBZfEEEPOAkO9LCUZPkk0SXPs8lspnD00NzmFBXTWlfDmOkzSSgKvbE2ZJOJ3o420rKyaa2tIaugiBEjR1FbeRBPVhY3f/N7VGxaT8XmDbTV13LZLXeQXzrgxV40Zjz3/OhnvPj7X/HSg//F8pvvYualVwBQMGoiof5u9m96mWjIz/Sl1+I82Yx65MRV6LrK8f0vYnOkkpE3sKv3ZExGVfz0tm/B5sglI3fgaU2WXTjcK4mGXiQWXY/DtWrwuzrlCaiinZCxB5tUkBTAHGmdSneigar4FnIsI0kdVvxjkkyn+OScDRedvC2SiYeK7mJ+9b/xd23P80jJPRd0/js9HcxNzzxn49izIcU6kPmw5I04121Q2LTSxqysTwn8w+DNFp3PblFZmifzwjLbhybujniMLx7Zy0yPl389z6YdQgi+0fJX7LKZ3xTeftbUted9W2hQO/lp/ucGGwUPhyY0XvavxWPycEXqZaeMdyUaaE5UMcY29xTjoZg4jiIaSZUXYJGGdGMhVGKRtwfMjpzLhxXnCNob1qIlwhSPuQuLdWhDc+LgWvw99YyffQsZuUMkd3zfJg5te43Rk+cx98rbBx/Hg/19PPXLB4gGA9z09b+jdPxQGls44OfNxx+hp62VqYuWMnvFlUnl5oahU3f4ENUV+9A1jcKyMZRNvYSUtDO7MwohiEciRIIBoqHQQIFOfKBAR9e0pGMlScJstWK12bA5nNhdblypqbg8Hsxmy6B17fSlywGQZRP93Z3E90ZR43GKysdRE6xg8vyBRdnX003WiALMFguzVlxJyfiJrHv6CV55+PfMX3UNk+YtQJIk3Gnp3Pbdf2Ttw79h/TOPkYjHmbdqQJMvn7aQis1ruGTpZ3CmpJFQFRqqduPv7WTCnOs4svNxDu96ipmX3ocrdeDJLzNvIUq0i+62DTjdI3C4BzYWJnMuNscClNgWEuqRwRRCSZLwmBajah349Q1kSTcP7swlSWKa83LWhx6hIvoWi923fWAn0o9FQxhjz+Pb2St4wb+Pd0PV531eXSTElfu28IPqyg/9GdJsEm+dzIC46h2FxpBx7pM+xWlxsG+ggcJkr8Qryz+8VALwtaP7ieo6T0yeg+U8LRKe8+1lW6SGf867llzLmbXxXi3Ak33rmO+ayDz3hNMesyu8h26th6s9K092dR+CLjQOxtbhlr2Mtc9931iMgL4dq5SHS05edJTYToQRHCDuYdf091QQDtSQXXDpYB43QGdTBW11uyges4S84ksGX2+rr2LPumcpLJvC3JV3DhJ3JBjgr//5U2LhILd8+x+SiLuvs50Xf/dr/L09rLzr88xbuTqJuAN9vWx++Xmqdu8kI28Ey268lUuWXHpW4oaBQp+q3TtoPFZFb0cbWiKBw51CRm4+eaUjGTGqjILRZeSPHE1OUTEebyay2Uw44Ke9vpaagxUcfHcTx/buprOpgXg0CgwsCjaHgxnLVlA4upzRk6ditlpJy8ymt6ON7taWAVIcFlTNLijkxvu/TfGYcWx79WW2v7ZmsADIYrVy7Ze/yYTZ83l3zbPsWf8GACazhfKpC7HanCixCBarjfJpi8gaUcqRHW8zZf7dyLKJwzufHPQZlySJvJLVWCwptDWswdDVwc9gsU3GZC5CiW7H0IODr8uSDY9pGRp+Qsb+pDm0yy4mOZbSr7fRpB4+63yfDR9bBO9bOSt42rebH7a9yNYxf39KJdvpMMqVwn3FZfym6QR3jyhhZtqHyzfNdUq8scLG3FfjXL1OYcdqO+5PeCn9Jw3dMcHV6xTSbRKvXWb7wD4lw/FqVxsvd7Xy8/IpjHGfn797zFD5SccapjmKuDtj3lmP/UvvO+gYfCXr9AU7MSPGxtC7lNlGM9Yx5pTxeuUAEcPPfFeyzg0QMvYgUPGYkt0Fda2bhFKJxTYZs2WIoBNqgO7WDbhSSknPHpJR4hEfxyvW4MksYeSkywdfDwf62bLmT6RljWDhNfcMSiUJVeX53/4HIX8/t37rHxgxcqjQp6etlbV/fhCz2cx1X7mfjNzkBhWNx6qo3LEVi9XKrBVXkl8y8qydb4bDbLEwatIUHC43Nqfzgo2pIsEAIZ+PQH8vbXW1tNXV4k5LJ6ewiLSsbCRJIiV9KNusYHQZjcePkurNYMLsgYVzeBsxq93OlXd+ju2vr6Vy+xZURWHpdTchyTKyycRVn/sKWiLBhmefIDU9g7HTZ+PJzGX/ppdoOVHJqEmzsTtT8GTm4fJkYHN6mDDrFg5u/TN1h9+kfNrVAJjMdvJLr6ap+gl62jaTU7QCGCB2u3MpkeBTKLGtONyrBj+7XS7EYZQRNg7glMclmVgVWSbQYDpIVXwrBdaxSZ2VzhcfW/TOIVv5p7yrORxv5UX//nOfcBIPlE0ix2bnG8cqzvsHdjaMTRvwAa/yC760Xf1Irvn/C3RDcNtmhZ644JXlNvJdH/7noxo63z5+gHGuVL5deipxngl/6t1CW8LPv4647qwbgTa1l7eCe1ntmUu+9fSL/7bwTuIizhWeU+WShFCoVnaRbS5J6hoOA6lhUaOK/8fee8bXcV3n3v8ppxf03gsBsHdSJEWRKlS1qiXZsixXxVbia0fOzU1uuv2+r1N+uYnjxI4d9yJZimRRvYsSKfZOgGABid7bAU6vU+6HAxxgcEACpCjZecPni8Q9ew9m5sysvfaz13qWXVxiqHWo6zqxyB4EwYbFaijvylDPDnQ0CitvN9AoZ49uB11j8bpPpiRMdV1jz8s/Q9NUtt73ZUzmqdCzN5/4CQOd7dz96P+gdBqH7B0Z5uWf/gcms4V7HzMabl3TaNr7Pid27yS3qISt930Cd1Y2mqZdkhHOyi/A6rg0RUFI8t3u7BxKampZtPYalm26jpKaWuLRCG0nGzl1YB/jI8OGb9KdncOyjZupbFiUyric+XcFUWTTx+5mzQ3bOHvkEHtffTF1TJQk7nr0K5TULOCVn36fkb4eAFZsvpPi6kU4M3PJzC8hHg0Tj4YJB304M0sprd1Iz/m9+Ea7UueyuyrIzFvF2PBhouHhaX/Djdm6FiXRjpLoNVybW0pOOAH1kPGaBYGltuuJ6SHaYscu6Tmm/u5ljbpMfDxzNQutRfyfoTfQ9PnRFm6Tif93wVL2ez28ONx3Ra7j5lKJb6408es2lV+cV+cecBUA/EOTwo5+je9tNLPqCmmo/7inndZwkP/TsGLedElUS/Cd4XfY6qznWufFNXCeGd+FJIg8lD27vklMi7E/eJDF1oUUmQrTjnfGGonrERZZ06VkA+pRBCRcojFtXlV6UJU+zNZ1BrokEuwlMH6anIINmC1T9MRo/2k8gy1UL7klla4NcO74boa6z7Fu2ydwT4u8aT6wh5P732fTHfdSt3LKe49FIrz6i58AcNejjxkyI3VN4+jOHbSfOknN0uWsuHYLnoE+xoeHaTt5gqHuKSP1UcFstVJUWc3SjZupXpKknNqaTnD+xDFi0YvVyUyHIAis3XYryzZdR9Pe3TTv35s6JpvM3PfY1zFbrbzww39FScSRZBNVi9bgGx0kI7sQ/9gQgiDQ0XyIo+8+R83SW7HY3LQcfwF9mq3KL7keUbIw3Ltjxr2sQBCcSaps2uQjCS4c4lIi+jkU3Rg8kiOXUCBX0Ro7gqonLul+4SM23qIg8nj+zZyJDrAjcGbe4z5XUsUCu4v/p/XUFfOU/2y5zJZCka8diNMTvMp/z4WmMY2/OZbgE1USn19wZTZ745rK37WfZlNWLrflzT+M9Nnxwwwrfv6o4JaL9guoYd7yH2GbaxU58ux0zPFwI1E9ymZnuuqgrmu0xo6RK5UZBKcgKUoU0c9hFxchCcYN0Hj0CILgxGQx8usj/e8jyXZyCqd4c13TaD35OnZXPqW1U/RPLBLi2M4XKKyop3bZVHvI7+Ptp35OSc0Crr3z49OuVee93zxNYMzDbY98nsxpYYK6rtO4Zxe9redYuHY9Szdci987hjMjk7IFdVQtXjqxWrg0g3mlIAgC2QWFLF6/gbK6+gmZ2v2MjwzPPXjGeTbdcRcVDYvY88oLDPf2pI45M7O443OPMdrfy95XXwAgr6Sa2uUb8XkGEQSRxeu3sWTDLTjc2YwN9VGz7DYC430M9TSmziPJNnILNxLytxEJ9k772zJm2xo0dRBVMTqZTnEFIBDUGpmJOst6YnqY7vjpS7pX+IiNNyS97zzZxU9Hd897jCyK/Gl1A8f94+wcu7Qf9EKQRIGfbjajaPD4wUuf9f47QdN1HtsbJ8sC39t45QouPzvQQ280wp9XL7qkc/7Es5uF1iK2OC9Os7wbOE5MT3BX5oU58SPhYxSbiigzp4cmDikdRHQ/NZZVacfC2hlAS9ukVJXRCa97eUreFSAaHibkbye7YL2h7uRwXzNh/zDVS7YZiu02H3iLeDTC2m0PGp7N+y88QzwW5fbPftmg93H+xDHaT51k/S23U1RZbbim9lNNdJ49zYIVq6hfmVwlyLIpJecqyyZi0QjRcOiCz+liUFWFWCRCOBAg5PcR9HkJ+f1EQiES8di8HS5BFCkoq2Dx+g1YbHbamuZeEei6jqpOrZ4FUeTGBx/C5nSx45lfGyJgapauYPE113LwzZeTVYEAZ0YOQz3nsTpcmK12Ok4dxjPUjTMjh8LyFTjcBXSeftdwD1n5axAlK56hA4ZrMZkXIghWEjGjkZYEBzZhARGtBU2PG47lymW4xVw64+mGfS585MbbLMo8lLWeN/3NeJTgvMc9XFxJtsnMD7pbr9i1VLtF/nKFie2dKrsGrtInF8Iz7Sr7hzX+Ya2ZnMsoFHwh/KCnlQV2F7degtd9PjrEsXAXj2RvnNPgv+M/TrW5aNYUeIDhxAj9iQFW2pfPeq6e+GnMgtVQWAEmq76fxSyUIgvGKJdE/DQgYjIbq6R4R44hCBKZeUbtjZ7ze7A5c8gvmYoUiccitBzdSeXCVWTnT1372PAgjXt3smrrNkPySTwWZe+rLyXjszdvNZzf5xml+cA+CisqWbQ2yb/rmkZ2QSGiJNF7/hwdp5sxmczzVudLFpCI4h0dYaini6HuLjyD/XhHh/F5RvGPefB5RhgfHmSkr5fBrg48A/2E/D40de7vzGKz07B6LVl5+fScb2HwAgZc13WO73qXY++9Y2i32h1svfd+xoeHaNr7vuHY9fc9hCCK7H15e6qtpHoxw71t7H31l3iGull304P4RgdoO3mQioathPxDjA9P2R1RMpOZu5LAeAuJ+FRpN0GQkc0LURKdaJpxFWMXF6GTIKp3GNoFQaDCvJRxdZCgOjbns5mO30q64cez1qCg8YZv/mEyVkniU8UVvDjcR0C5cp7y15fIFNsF/ubYVe97NqiazjeOJ1iaJfDZK0SXAHSGg+wZH+XzpVWXVKDhRd9xAO7LXH3RfmNKgNPRLra4LhwzfiZ6FoAltkVpxzRdZSDRRpFpAeIMqViFUVT82ERjHUJd11HircimSkPpLF3X8I+fwpVZjyxPUSzhwAi+0U5KqtcbBKPamw+RiEdZtN64gXr47dcQRZENt91taD+5bw+RYIBr77zX4I3rus6J3TsxWyys3DIlaDXc20NfWytWu52S2jpKJsL65oNoOMxofy+jA31EggFksxl3dg7ZBUXkl5ZRUF5JYXklBWUV5BaXkJmXj93lRlUVfJ5Rhnq6CHrH5/w7oiRRvWQZWfkF9J5vwTsLhSIIAg53Bn3trWkeekXDIsrrGzg87FrEAAAgAElEQVS2cwfxWDTV7srKZsXmGzh1aG9K8jYrv4T6VVtYtPZGlm+6g7bmg3SdO0EsEmR0YATZbKe/47Dh/MnCzzqBcSPdYTI3ABpKos3QbhaKEHES1YztACXm5AqyP3F+zucyHb8V473CVkahnMHbgUvjeR4sLCOmabwxMnDFrsUmC/zPJTK7BjWOjV7lvmfi9V6NFp/Ony+/siXmJjefHyxMr6R9MbzjP81KWznF5otXWzoePo+OznpHep3ASZyPtVEoF6TplwCMqQMoxCmUa9KORbVuAKyC0eBp6gi6HkI2GWmLcLAHVYngyjZey3BP0nkpKDd64+2nDpKVV0Je8VR0SyIep/nAHhau3WAoS6YqCk17d1Ne35BmgAc62xkfHmLRug1YrMnJJBYJE49FyS8rR1NVhro6Cfl9c2ZSaprG+PAQY0MDaJpGRk4eBeWV5BQU4czIxGq3I5vMSJKEKEmpKjp2p4uMnFzyS8vJKy7F6nAizTPhThBFqhYtwe5y0XnmFIl4LK3PguUrcbgzOHVofxo9s/amW4hFIpw9YjS8a264FU1Vadq3K9WWmVuEw53F4R3P4srK45pbHqJ68XoiQT+5RYsY7T+NNk2Qy2LLxWLLI+A9Zzi3KOUgiG6URKfxXgQBq1hBTO9F142rD7voxi3mMaQYx8yF34rxFgSBza469gUvjQLZkJmLWzbxjmfoil7PF+pkrBL87Lwyd+f/ZvjpOYUCG3y86spmpL4zOsQCu4sax/zlEmJagiPhTjbPEWEC0BzpxC5aqLEUz3pc0zV64r1UWSpnPe5RkptR00uaTSKuDyCTZSggDKQ2qiSTcUzY3wEIOFzGUEPPYAuurBKs9qnJIxoOMtLbTkWDkWfvONVIPBphyTVG6dXuc2eJBAMs2ZAeDdPa1IjD7aZ8moBTPBZD13RESSKnqJi80jIiodBFKShVVZOediiIKzOL/NJyHG63wcufD0wWC1l5+dicsys+zgZRkqhavBRVUehrS/daRUmiftUa/GMeRvqMYXoFZRXklZZx9qgxTC8rv4DS2nrOHjk442wCsslCUUU90XCQzrNHyS2qoKBsCaoSxzvaaejtcNcQDvagaVOrdkEQkOUyVKUvbTKxCKXoJEjoo2n3kSeXMab0X1JAxm9Npel/FdzKczVfuaSLlUWRDZk57Pem3/wHQaZF4LZSiec71atx39MQVXTe6FW5v1JOFUW+EtB1nQNeD9dmzY9jncSZ6ABxXWG1o3LOvudjfdRaSi5YMm1U8ZDQE5SYZjfuXnUIu5iRJt0JkNBHMAkFae2qMowgOFMFhCcRCfVjseWnNLohmZruH+shK8/opQ91nwN0iqqMXnrH6ZOYLVbK62a2N2Ox2gwKe5CMShkbGqBy4WIDJePMyMSRkYF3eIjx4SGGe7qwX8SY6rrO+NAgSiJBdkERrqzsK7ZhPV/YHE5yi0vxDPSlKtpPR0nNAkwWCz3n07O3a5etYLS/j8AMqqZ22UqGe7sI+afC98xWG/kl1TTueZWzR95DScQorV1GZm4VIODzGKkZu7MMdI1o2OhMSnIh6HF0zRgaaBKS4Z4JfSTtOjPlQlQShHXfxR/GNPzWjHeDtYilttJLfhFWuLM4GwygaFeW4rilVKQvrNMeuGq8J3F4VCOiJp/NlcRwPMZoIsYK98VTsWfiXCz5kTRY0uOxZ6I3PkK5+cKqhB4lyXfmmWafQILaOC4xPalH02NohJGF9GvXtDFEKX1MLDKC1W68lnBgFE1TcGYZleXGhnoQBJGcQqOcaX9HG0VVNYYUd4CBzg6Kq2vSCvkO9SSpnemRJ+FgAM/gAFa7g4B3HFVRKK6pNagPzkQ44Ccei5KZm5cmHftRIr+sHF3XGRseTDsmSRIFZRUM93anOV+TIlgDne2G9tLaCZ65w9heuWgN6295iIbVW1m64VbMVhuSyYrNmU3Qa6RrLRO/aSxiNMailIzVV1XjhCHhQkBGIV0scPJdC2kXFRI0/p1595yB+vp6sb6+/gf19fX76+vrd9bX19fOPeqDo9rmIKFrDMSubEzq6pzko2gau8p7T2LyWUw+myuFzkgyJK3a7pijpxH98eTHUGq+eLGOuJbAr4XJl9N58SefhMpKePjLSR2KHS/OHv8d0QLYxXRKRyUZISUL6cd0LYg4Y0yyEG8A0wyOPhpKTh52p9HYB8ZHcGRkG3hhXdcZGxogt9gYNaMkEvg8o+QWGycAAO/oCBabzVBp3T82Rn97KyG/D0dGBol4LMWFzwZd1wn6vJgt1rR6kh81bA4HFpudwNjsERk5hUXEIhEiIWMEW1ZBIaIoMjZoNPqTz3J8KH3/TBAELHan4d82Zw6RkPFvm8wZgEAibvSWBTH5TulawNguCEg4UfX0KLvJdy2qzT9c84N8lfcA1paWlg3A/wb+6QOca97Im0gRHo3H5+h5aah0JR9FT+iq5z2J3pCOSYQi+5VdJo9ObDzlmedXc3ASXjWMSZBwzhCOmongRJiWSzIapiefhC99Cbq6wOpO9vnal2w8+WT6ORJ6DJOQbtg0PXntAsZr13UdXY8aokwAVDUZ6SCZjF5rIp78SM0Wo1GMhgPYHMYJRYnHiUcjaaJR4YAfdN2wgTn92PQiwZqqosRj2Jwu8opLKCirIBaJEItELrj6VRUFVVGwOZ0fOVUyG+wu1wVj0R3u5DMLB4wGU5Ik7O4MQn6/od1qdyDJJoK+2T3dmfdrtjhTv9lUHxFJtqIqkRntk3Uv0ykeQbCikd5unnjXErOMuRA+iPG+FngDoKWl5QCw5uLdrwysUvKSY9qVjct2TKxGw1f3LFMIKcnncqU/3MnfznqJG14xXcEiyHNeT2JiN980Q0TqL/4CJkTskMzJPgGfxF/8hXG8ruvoaIizfh7JcQIzN3AnV2wzK9BP9J8RbjhZSkycUWRbVRJp0RiJRNJRkc3GSUtJJCba00WN1ETCUGgBQcDucuPMzMQ/PsZwb3fSw7Rd2POejMmeb3TI5WK++0ySLKfJzk5isqKPmkgP+ZVNJpSE0dkTBAGT2ZzWfiGIkmyINpk6j4yuz5TCFQGByXfFcAzpAu2TVZfmb9c+iPF2A9PXC2p9ff2HrlIYn5R8vMQPfy5EJ56Z5arMdwpWCSLq/D+u+cI0sYkYv8R9C5MgpQzzxTC5SanM6NvdPfX/mpLsI8qaoX0KAjqz3ffkCzLzOsRZ26dKoRnv1eHKo6R6farsWeossxiJSZ5bnZHfMNWeblTEGYZOFEWyCwopqqhC1zQSsVgaDTMTkxudsxmtK4VYNIJ/zEMsEk5lSl7ofdNU9YIhjZP3KsrpJkhTlbS9gskxs7XPBl1TDRmwqXZdTZuYk9evM7t51WZtT71rwvwN0AexgH5gOsEntrS0fOh+q2eCLsmeZ+28+WKSLim+whTBf2UU2QViKnjmv5KbF7InPEXPPL2eSWRINmK6QkS7+DiHmFy2BrWoob182h5gLJDsY3VHDe0w4ZUJFhK6cTyQqpIzc+krCAII5rSlsigl/442Y2mdlV9Dw5qPYzIb6RSLzUk0bOREzRYrsslEaMYS3+5Mfn4hf3qEgs3hTFEI0VAIn2c05aln5uVTUFGZohouBNlkQhSly06bnwvxaJRoKITV7kBJKIQn7uNCK6tIKIjFNvumaTiQpEVsDuM+iq5phPx+7C7jXkQsGiERj2GfR41UgHgshDzjt0qm5keRpBn038R7Iwjp9J6mxxBJt12T75rpEqRhP4jx3gvcDlBfX38NcMmq4pfj0XVGQogIFFsuvNy7HJzwJD2jxVdrXKYw+Swmn82VQvlE3cXJjcv5otCU5Hb7EhffkbeJFhyilVHFaNS+9S2YDJgIDCU/5rwqP9/61iznEJxEZmw4AYgkjYOqp1+7KDjTNqlEUUaSHcTj8wsBc2XmEPR50KbRgoIgkJVfiGew39DXZLHgzMjEM5i+6ZaRm0skFCQaDhEO+PGNjjLc083ZI4fob29jZJpo04UgCAJ2t5toOHxFRauURAJVURBEEU1Vsdhs2JwOdF2fNREHkoY+Egziypo9Qml8eAjZZMbhMk5IXs8oqqKQlWcM7fQMJJ9lVr6xfWy4l7Gh9GcTDY1jtRv/tpIIgK5NbFxOQdOSk68wI2RU13VUgohC+ubv5LtmFeYf0fNBLNXzQLS+vn4f8G3g6/MdODDx8V0Ol3oy6KXG7sRyCbX15oMd/SrZFliYedXznsQ1+SKSkHw2VxIlVjsuSeZkYP5hUQC1lmRo1rloerhY2t8w5dITN4ZwPfww/PCHUFEB3s5kxMqf/K2Hhx9OH++Qsghq6ZENIlYELCikp3iLUlZaeBgkC9nODCe7ELIKytBUBe+I0VAXVlTT39GaqhQz1V5Jf3t6e35JMlGov6Mdr2cUXdcoqqqmeskyJFkmr2R+ma3OjEwkk4nx4cGJgsAfDAHvOCG/D9/YaKpMWjjgT1ESF6IxRvqTCThZ+elhorqmMdjTRV5JiSGmHaCvLZkIWFhRaWjvb0+mos8U8Trx/kvsev6HhjZVSRAOjODMMBr6yd/UbDVGDGkT740oGjeSNcLoxJFJ9/Yn3zXbLNm+F8JlG++WlhatpaXlsZaWlo0tLS0bWlpazs41xq9G+PvB1/i34R18ofOnvH4J2iaQnLn2jY+yPvPioWKXiqii81K3yh1lEtIVTEb5rw63WWBrkcizHVc2eUkUBNZmZrN3/NKSrRZbixEROBaeW3u62lJEayw9y+3hh6GzE/pO5SIhUb1udqmFDDGPgDaOos+y0SXkktDTtTZEKQ9d86LPoGusjmJi4UE0bW5WsaAsGXE70Gn8nCoXLiYSDNI/I165YuEiwoEAg92dhnZ3dg6urCy6W87gyspO0h+hEJqmEfL7jJuZF4EoiuQUFIIgpLIsLweTxYl1XScjJxe705UMWXS7U7y3rusICGm/WTwWY6i7i8y8/FljzYd6uomGQoaiFJNob27EnZNDZp4xzr6t+QSZeQVk5EzFuGuaylD3efLLjJo1vrEudF0jI8fIryUlYQWsDqOwmqoMARKiZPTUJ5NzTEJ6XL1XHUJAxClcXPZhOj5SjuAl7wnckpW/Lfk4v5d7HYfDHfjV+S/HTvi9DMdj3JiTnt32QfCfHSreOHx2wUdWFe6/DD63QKYtoPNO/5WlTm7ILqAx4GXwEuL1nZKVZbZS9gbnFvBZbKvEp4boSczu8cqCTLGpiM74rLuV5MglgI5HSS8AYhaKSOijqbDBSUgTmt+KYkzTdrgq0XWVcGDuScfhziYrr4TuluOG9pqlK5FkmdOH9hraqxctxWSx0Hxgn6FdEARqlizHOzqCEo/hzMykv70V78gw2QVzJzlNh2wyk1tUgiybUC7D+w6Mj0/IxCapI1VVsNonaJJYHHd2LrYJDZTJqvOT0HWdrjNJHf/S2gVp59Z1nZZjh7E5nRRVGuUHwoEA/e1t1K9cYzhnyO+j80wzDavWGfoPdp0jHg1TWrPE0O7pP4sgSmTOyIYN+Tuw2ouQpBk1T5VeJLkobSMzpvcB4qzGe1TpJUsqTBNBuxg+UuM9+fh0XWeDsxYJkfcCczrsKfxmqAcRgdvzZk9pvhyoms4/NCVYkiVwQ9FVvnsmHqiSKLTB3zZeWdXFuwuSiSXPDfbO0dOIG12LOBBqZ1wJX7TfKnvSgz0YuvD7VWutpjfeR1hLP1eOXIKIxGCiPe2YRSgDdGK60fBLciEIFpSEUfbT7q5AEE0Exuf3rlctXstwbxu+aRo+NoeTupVrObnvfWKRqes1WSwsWnsNrU0n8I4aJ6ryuoakaNPB/bizc6hZtoKC8oo0L3Q+kE0mcotLcM5RoHgSSU9bxT8+hiAKWG12JFlGkiQigQDxWHRCG0VHkiRMs4Q7AvS1ncfnGaWstg7rLEld3efOMj4yTMPqdWnRIHaXi4f+6E9ZssFYaOP4+zvQVJVlm7YY2lub9mGy2CiZZrx1TWOop5HsggXIpqmNyUTcTyTUizPTOKFoqg9N9SCb0lUaY1oXZqEYUTDNaI8wpg6QL89P2XESH5m1UnSVOzNX0B4b4YGOf+dfht5iTA2x1dUwr/GqrvGrvk625RaQb7m05I6L4efnVc54df5mpel3IhHhdw0WSeDPlpvYOaDxes+V474XOzNY6srg530dc3eeho9lLkdF4xXfiYv2KzLlUG0uYneg6YJ9Flob0NA4E0nXxJAFM/lyJf2Jc2nLeLNQiIiNiGYUVhMECdlUjRJvQ59W1koUTbgy6/GPn0ZTZ58Ep3PWtcs2IkoyZw4bS22tv/kOYpEwR95909C+csv1SLLMvldfMrSLksTya7cQ9HlTnvkHeccFQZj3eEEQEEUJSZJxuNyoqopAMtZcNluIhsOYLJYLRo/ouk5v63kGuzrJKyklrzSdow/5fZzct4ecwiLK62a3Ixm5eYbs0Gg4zOF3Xqdm6UpypmmihwLjdJ05Su3SDamYcQDP4FliER9FlcY0Fp8n+V5lZBurJSXiSZVBeYYGfEL3oDCOTTB67wADifOATpEpfWVxMXxkxvvbQ2/xvZF3uTdzFX9ZeCcLbcU8lruVDGl+USMvDfXTEw3ze2XpEp2XC09U538fibMxX+TjlVcDvC+ExxpkFrgFvnYgTkS5Mty3IAj8XmkNR3xjHPR65j1ula2CWks+vxrbP2ff610raI520hefnVsvMRWTLWVzPDx7FZMy80IieoARxehhC4KITawjqnei6kavPVmEIYESN1I7WXmr0NQYvjHjZDIZ/z09DtzmzKBm6TWcb9xLyD+1aVpUWcOC5as58MbLBk1su8vN2htvpvPMKc43GumW/NIyapYup+P0STrPXnqprUuFEo8z3NtDJJjkxu1OJ4IoJuOwBYGQ34cky7gysy6Ycq8qCu3NTQx2dZBbXEp5/cK0SSMRj3HgzdcQRIFV198070ll36vPEw0F2Xz3/Yb2k3tfR0dn0bobDe1dLbuw2DLIK5ky0rqmMj5yDLurArN1av9N1zUS8dNIcimiZIx6CWvJIh1WMV1FpCvejFPMIlO6NDr4IzHe7/hPIwoCt7mXcjjUwbPjh6m3FLLAOr+L1XWdv28/TZXNwd356ToOl4uv7o/jjcH3N1250l7/f4RZEvj+JjOtfp2/Onrl6JPPlVaRKZv4+/b5GxVBEPh8zrUcCLXRGL54uNvN7jWIiLziOzDrcUEQWONYSXu8g+FZuPFiUx1mwUp7PL26t11cDGiEtVOGdkkuRpRyiEePGzx2m7MMq70Iz+B+9IkwQFWJc+74Swx1n6D91Ns07vkFQz1J475s0x0AHH13u+H8NzzwMKqi8NZTPzecf/m1Wygor2DX9mfT6JPF6zeSX1pG4+6d9LVfXIbZOzpC19nTKJdR8CQc8BP0eTFZLJgnMjcFUUTXdSLBALFwCEmWMZkv/L35PB5OHdzH+PAQJbULqGiYzXDH2f/6qwS9XtbddEtaeOCFMNjVwaF3XmPZpq0UVUx5wOMj/Zw7vpu6FZtxZk4JlXkGz+Ed6aCiYauBkvGNnUSJ+8kuuMZwfiXRhq75MVmWGto1PU5YO4tNqEGaIbngU4fxqL1Umpddsg36SIz3UMKHhMhiWwmPF9xMraWAvaH5a3m/MtzPId8Yf1azCPkKZVb+6rzCU+0qf73SxLLsq1z3XLixWOKxBpl/blZ4q/fK0Ccu2cTjlfW8MNTH4Uvwvh/J3ohTtPDt4bcu2i/PlMFm5xJe8R0gpKYn3ACssa9CRmZvMN2TlwSZSvMK+hPnCcwoUWUSsrAIFYS0JkNdQkEQMFtXo2ljKIlWQ3tu8XUkYl68o0nKR5LNmC1Ogr5BHO58MnLKsdqSoWLOjGyWbriFjtOH6WufmiCyC4rYfNf9tBw7RNPenal2UZK4+aFHECWJ137xE6KhqTh0URRZt+1WsvILObzjLTrPGCec6YgEA4z09dK8bw9DPV3zKlsGSQdLlGUy8/IxW6zEJhJ7VFVB13VksxlXVvYFve1wIEBr43HOnziKIIg0rF5HUUVVmkGLhsPsffVFxocHWXPjtnmHPMajUV768XdxuNzc8MBUbKimaRx4/QnMVhsrrrtrWrvK+cZXsDqyKKleP61dYbR/N1Z7Ec6MKS9a1zXikcOIYmZaMY6QdhKdOA5xRdp1nYseQsJEpfnCFZ8uhI/Eat2ZuYJs2cHL3hO84D3GzuBZ1tmr5h5IssL4/2o5QZ3DxedK5jdmLpwc03hsX5zrCkX+bPnVCJP54p/Wm1iUKfDwrhjdwSsTffL1ynryzBb+59kT8w5HzJTtfCl3C897j3E60n/Rvg9l30BIi7Ldu2fW407JyWrHSo6FTzCupMed11pWIyFzNrov7ZhLXINGlNCMquCyaQGimE0sst+gVeHMqMXuLGekfyeJRJJWyCqoZXyknaC3n7ySRWTkJjetdE1j6cbbyMgpYu8rvzRkXa6/5WNULlzCW7/+Gf0dUwUKXFnZ3PrI5wmMj/HKz35oSKyRTWY23v4x8kvLOLF7J01735/VMBdVVrNw7TXYHE56zrXQtHc3fW2thk3S2SAIyU1JAEmWUnoo0VAIJR4nMzcvLYZb0zTGR4Y5d/wopw/tJzA+TklNLYvXb8CZmR4yNz48xK7nnyUwNsa6m2+jpDppPNU5Jhhd03j15z9gbGiAO7/4FcMEcurAWwz3trH2pgexTlMS7G7ZRcg3SN2Kuwz6M57BfSTiPvJLbzRMLEr8LJrmwWxbn5JEgGRGZVA7jkUoxywaN4oDqoeexBmqLSswz6IbPxc+dOP967ED/Myzh+e9x9kdPEee7OLRnOvmTZl8u+McLaEA/9yw8oromYxEdO56O0aGWeDp6y3IV+O65w27LPDcjRbiKtz9doxQ4oPz326TiW/VLWP3+AhP9HfOe9zX8rfhFq38Vf/zF+1XZy1lo2Mxz4zvxKfOntG5xbkZAYF3/O+mHbOKDmosq+lJnGZcMSYHmcVCrEI1Qe2YQeZTEEQs9mvRNR/x6LFp7QIF5beiqjFGepObkdYJPtXhLsDhTn4TPk83owNn0NQEm+/+ArFIkN0v/gRtYlNTFEXu/r2v4nBn8pvv/mOqEjpAcVU1t3zqs4wO9PPSj79vUNmTTWauueUOapYsp/3USXa98Bt8Y+krHofbTd2qNdStWoMjw81AZzsn9+3hzOED9He0E/R5U9cyGzRNIxz0T5wrA7N1KsAgHoviGRyg49RJGnfvpK3pBJFQkOLqWpZu2kxRZXWafommqbQcO8L7L24HQWDzXfdSVJF05M4ePcyu7c9y5vDBVMGFmU7Ae9uf4uzRg1z/8U9RuXAqkmSwq4Xju16kcuFqqpdMedeB8X7aT71NfulSA9cdi4ziGdiLK2sRDndlql3XosQi+xClQuQZm44B7TA6MdySkWIBaI6+j4zMAsu6tGPzgfSNb3zjsgZeDN/97nczgcc3PXw7L8ab+fPCO6g059AV97DV1cBy+/yWOudCfj55Yj935pfwV7WL5x4wB8KKzm1vxmgN6Lx1q4X6q6nwl4xcq8CKbJFvn1JoHNN4sEr6wLUtV7qzeGt0kF/3d/HZkiqc8xALsolmTILEjzzvs8JWdlFnoNpSxHbvHkJalA3O9GLDVtFKTI9xMHyYOusCMmZsNmXJRXTFTzKmDlBhXmrwuExCPiHtJKruxzZtM0qUMtFUD4n4aWRzDeKEZyWbHOi6yvjwESy2fBzuMmJhL7LJisOdj2+0C+9oJ71t+4hHgxRXrsDuzOTM4R0kohGKqxcnE4UsFqoWL+PE7vc4c3g/dSvXpELpMvPyySsto3n/Xs43Hqe0tjalgyIIAgVl5WTk5NLTep72k00oiQRZ+flI0zzMScXBnMIicoqLMZktRMIhxgYHGO3vY7C7E+/IEAGvl3AgQDQcIjaRRq8qCmpCIRwM4PN4GB8aYqi3i97W8wx0tOMdGSYejZGRm0dJzQIq6hpwZ2fPKjo10t/LobfeoK/tPCXVNVxz6x0pjfKhnm6Gu7tYd8tteIeHaWtqpKJhkeH32fPyc+x77QVWbd3Gdfc8mDrmHxvi7ae/g8OdzQ0PfAV5YqWgxCMcf//HiKLE8s1fQJKTkSe6ptLT+p/oWoKyBZ9AlKYiUqLhnWjqIDbnxxClqXDGhD6KV30Xu7gIh2i0X0OJDk5Hd7PQei2F02gWv9/PL3/5S4DvfPWrX71oCvKHarw3PHwbVruN61z1VFhy0YGdwTNsdM5dtyGhadx1dDd+NcErq6/D9QFlKROazv07Yuwc0HjmBjM3llylSy4XCzJE8q3w7VMqvSGdO8ulDxyCtjEzl3/rPs+ZoJ9PFpXP63wrbeW85DvBq74mPpOzEYs4+2+aKTvxqyFe8u1nnb2BPFN6CnKpuYRj4UY64p2stq9EnLb0lQQZi2CjPX4Mq+ggS57KqBMntJvD+klkIQeTMBV9IMnFJOKnUZU+TOaFqeW03VlG0NeGz9OEO3shGTlVONz5dJ55j0hwlIqGrfhGO0nEQ4iiTHn9WhKxCGcOv4skm1JZmHaXm8qGxTTufo9TB/dSs2Q59onNu8zcPEoX1HPu+FGa9+/B7s4gt6g49VxdmVmU1zcQi4TpON1M15nkprE7OyetKo8sm3BlZqVC9pwZGZgsFjRVndBNGcHnGWV8ZJixoUHGhgbxjo7gHRkhMD5GJBREEEQcGRnkFpVQUlNLWV092fkFWO2OWX/rsaHB5MR05BCiJLF6643Ur1pLwDvO2aOHiUbCmC0W2pqbaFi1ltziElqbTqSyN3VdZ+dzT7HvtRdYuuE6bnvk0VTqfCgwzlu//jaaqnLzp76O3ZWkaDRN5eT+JwiM97Ls2s/jdE/RHMM97xDwtlBcfQ82x1SeSSLeRjy6H7N1DSbLVCk6XVcZU14FdLKl2xGmyRMrepz9oUDX8aAAACAASURBVO1YBBtr7HcY3rXfGeP92OceZYfays89e4hpCiejfSy3lc+LMvnr8yd5eqCbny9bz4ZLrHU4E4qm8+mdcV7o0vjBJhOfrv1w9Yn/O2BtngTo/MspFW8Mbi0VP5ABz7NYcUoy/9p1jjyzlXWZ6eXEZkISRJbZSvneyHuMqyFuzVh6wb6LrZW8FTjKkXALt7nXp9W2lAWZTDmD/aGDmASZSosxYSJDysej9tEdP0mpaSFmcYoKMAsFxPQuwloLdrEupTwoCGZEMZNE7AS6Hk8lbgiCiMNdhXfkOCFfGxk5SxFECZ+nC0dGPo6MAlQlRk5RAxk55SiJKGULluMfH+HM4R3IJgv5pcmQWVdmNtWLl9G0bxcndr9LUWV1KgnHmZFB3cpVDHV307T3fTyDA5RU12CyJDMCZdlEUWU1heWVBLxeOs+couN0M7FIBLvLNWuVHUmSsDmcZOTkklNUTEF5BUWVVeSVlpFbVEJucQl5JSXkl5ZTUF5JSU0txVU15JeWkZVfgDMjE7PFOuu7oioK/e1tNO7Zxdmjh0jEYjSsXsvq67fhzs7B5/Gw//WXqahroP3USQrKyvEMDqAqCtkFhXgG+qlcuAhVVXnlZ9/n+Ps7WLn1Jm595NFUseRQYJy3nvw2kZCfmx96nKyJ6DVd1zl37HmGehqpX30vBaVT75LP08Rw37tk5a8lp3CK/tBUH5HQy4hSDlbHNgPXHdAOEtXbyJS2YRaNGZVNkXcZVjq5xnEvzhkp9L8TxluHx3//c4/yybJrWWErpznay3J7ObdmLJlz/KvD/fz+qSN8sbSaP69JX+ZeChRN57Pvx3m6XeUf15n42uKrhvtKYUuhiD8O3zmt4I/DzSUfzICvy8zhiG+M73e3cktuISXWuRXWSs3ZhNQYPxjdeVH6xCzKlJnyec67m7ieYI2jPq1PgSmfIWWEQ6Ej1FsX4JamZEQFQSBPLqcj1sio2ku5eXHqYxUEEYtQTFhrJq4PYhPqUsckKRtdj5GINSKKGUhy0hGRZBtWewFjQ4eIRYZwZy/C6siit3UfId8ggz0nsNmz8I/30td+ABBYuOZm/J5Bzhzega5pFFbUIwgCzoxMGlatp7XxKId3vI7JYqGkekGKXqlbuRqT2czpQwc4dXBfMt29pDRl0KwOB2UL6ikoqyAeidB9roX2U00MdXeRSMSxWG0G3nomBEFIhQCaLRbMFismi2VCUvbi74SiJBju7eHciWOceP89elvPIQgi9avWsPqGm8grKaXjdDOSKKIocWSTmdrlKzFbrAx0dVC3YjXtzU10njmN1eHA5nLxzHf+ns4zzWy975NsvfeTqfv0jw3x1pP/TDQcYNsnvkZeaZKu0HWdtqbX6WndS0XD9VQuvD51faFAF31t27G7yimpunuaPnuCSPBFdD2O3XlPihYDiGpd+LRd2IVFuKRVhvsdSLRyMvoetZY1VFmM0Se6rnNo5Aiv/fpV+G0a7+B9lY/Hl2SzNrOWYnMmdZZCltjmjtE+F/Jz25FdLHS4eW7Vpg+0SZmY8Lifblf5uzUm/mTZVcN9JSEIAjeXiIzHkgbc8wE9cEEQuDW3iKcGunmqv4tPFVfgnAddtslZy1v+Uzw5dpD7s9ZcMPGr1JzHmBLgee8eFlkrKDGnr+hqzFUcDzdyJnqWVfYVyNOWuybBgkPMpDV+BIU4BdO4SlGwIQluQlojOjGs4pTnLsmlqEo/idhJJFNJqs6l2ZqNLDsYGz5EIu4lM285GbmVONz5ZBcsQEmEsTmyKam+ht7Wfdhd+dQu20wk4OXM4XcJeEcprVmCKEpYHQ6WXHMtY4MDHNnxBv0dbVQ2LMZstSEIAkWVVdQuXc7oQD/NB/bS1nQCq8NJVn5B6veyOZyUVNdSuXARFpsNn8dDz/kW2k+dpPtcCz7PKLFIBB0wWcyzFie4GHRdJxIK4hkYoKe1hZZjR2jau5ue8y2E/D6KKqtYcs0mlm68lpzCIuKxKEfffYeg30skFOLs0cO4srIQBJHCikrOHj5ERcNCKhYuoriqBp9nmOe+90/EIxHu+fIfsvza61P3Nth9jref+g6aqrLtoT80GO7WxlfpPreLkpoNLFjxsdSYSGiAnvNPYTJnUF73qRTPresa0dAbqMoANuftSPKUw6DoXjzqK8hkki3fZvDGQ6qXvaHf4JKyWWe/00CXABwKH+G5vudpfe4czMN4C1e6SgpAfX19ZfjG4o5HHv8S95RcQ7Ullz/pfZafVHz+oh/2WDzGhgPvMBaPc3jjNirtl1/0NKLoPPhujFd6NP5xnYk/XnrVcH9Y0HWdPz6U4J+bFT6/QOKH15o/UBTPCf84mw68wxJnBjvX34BNmnt/ojU2zJaWv2eBtYA3av8Iqzj77x3V4nyl+1/xKH7+o+LrFJjStTo6Yl38ZPTnNFjr+VT2g2kfWWP4Hdrix1hjv4Nys3EjyqfuIaQ1kiFeh0OaWnrrWoRQ4DfoegS76+NI06rMj/TvZrR/F5m5KymsuB1BEOg88x42Zw4FZcsYH27D5+mmvP46RFFC13Wa9r7GifdfIre4ki33fhlnRpJr13WdYzvf5t1nn0A2mbnxwU+zdOOW1HeXFHo6zYE3X2VsaJDMvHxWbN7CghWrZ9UXCfn9DPV0MdLXg2dggHhsKl7e5nBic7qw2u2YrVZkkxlRkhCEZHieoigk4nFikTDRYJBQwD9V3UcQyMjOIbc4SbHkFpekuHZlooSbZ3CApj3vc/39nwDg7aefwJWVjTsri5G+PmxOJ0uu2UQiHuOtp35Ga+MxSmvruevRr6TUAnVd5+zRnRx+5xlcmXnc+OD/wJ2dpJU0TeXs0e0MdBymtHYjdSvvShnbaHiQ7pYnESQTlQ2fTWl267pOLPweifgpLLbrMFuXp56HpkcZUZ5DJ0qu/ACyMLXxrehxdgWeJKz7ud75mTS6pCfeyw9HfkrOWBbfv/+7AFUtLS2daT/INHxoxltzyB3/sf1XxLNMdMU92EUzj+RsvOCYqKpy8+GdHPR62LHueq7NTlfemi+8sWQ44J4hjX/faOKxhVcN94cNXdf55vEE3zyucE+FxK+3mrHJl2/AXxjq5b5je7inoJRnV25M46hnwyveE3yq84d8Mmsd/1H+2Qs6Cj3xEf6g+zsUm3L4TtlXsIrpRmtPcB+v+d7kBtdWbnJfbzim6Sp7Qs8wpvRzrfMT5MpT5cR0XWNMfZ2Y3kWWdAs2cUrOQVP9hAO/AXTsrvtSkqG6rjPStxPP4F4ycpZSVHkng13HiYa9mC1ORElGNlkJB0YwW13kFi3EZLHT1XKcvS//HEEU2XjHZ6ioX5n6W57Bfl77xQ/pbW2htLaemz7xCEWV065F02hvbuLYzh2M9vdhsdqoW7Wa+lVrySspnfXZ6bpOOODHOzpKwDtGyOcjEkwWfIjHYiiJeCp2PFmcV8JktmCx2bA6HNhdblyZWbizs8nIyTVoiAAkYjF6Ws8RDgRYck3SVrz55C+oW7maqkVLOHfiKK7MLLILihjq7qSoqoZDb7/K/tdeBOC6ux9gzU23pWiSWCTE/teeoKvlGKW1S9l81xcwT1BxiXiE5v1PMDZ0nspFN1K9+OYpjzvYR/f5pxBFExX1j6RS4HVdJxbZQyJ2ArN1NRbblD3T9AQe9SUS+jA50t1YxKlNTV3XOBB6gQGljU2O+ykwGfNVfKqffx/+IbIgcW/8Tu7Ydgf8No13osTRsesXL/KX6pvENYUfV3wehzR71W9F03jwxD6eH+rl6RUb+URR+az95oPekMZtb8Zo8en8aouZT1RfjSr5KPFvpxL84YEEmwpEXtxmIdty+Qb8O50tPH7mOI+V1fLvi1fPi475h8HX+NbgK/xl4Z38SeFtF+x3IHiav+j/GZudS/jrokfSvGtd13nO+wLHwid4IOs+VtqXG47HtQg7g08Q0yNscX4KtzRFwUz/kLOlO7CKU++zqo4RCWwHRGyue5CkKcMwOrCH0f5dODNqKam+j/7OY1isLnRdo7/jMNkFCzBbXYwNnWfR2geAJI/7/gs/xjPYTc3Sa1h704NYbMlwNV3TaNq3i53bnyYc8HPd3Q+w6WP3pd3nQEc7zQf30XHqJKqikJGTS9XipVQ2LKKgojIt+uTDgKoo7H3lRQLecSoXLia7oICiymoGOttp3L2LBStX03L0MJvvvg+708XJfbvY8/J2At4x6lau5cYHHyEzd8rh6znfxP7XnyAaDrBq6z0sXj+1oRj0DdK095dEw+M0rLqP4uq1qXEB73n62rcjm5yU1z2M2ZKZek6ThttkWYbFdt201YzKmPoaMb17YsKennmpcyLyNh3xEyy33USNxciBx7QYPxz9KR5ljMfyHkUZSnDjjTfCPIz3h8Z5i2Hl8c995rOcl8aotuZdUD1Q03UebT7M0wPdfGfhKr5Ylq66NV80ejRueC3GcFTn5Zst3Fl+1XB/1FifL7EwU+C7pxW2d6rcXiqRdZkG/JrMXKKayne6zhHTNG7MKZjTgG9y1NIRH+X7o+9RYc5hqW32Irul5jzsopXnvLsJaVHW2usN5xYEgTrrArpiPRwIHaLMXEKOPC0MUDBRKNfQFW+mJ36aYtOCVASKIEjYhGqiWhch/SQmoQBZSC67RdGGZKpEiZ9BmRQxEp0IgoDDVTHBgR8m6G+juGoLrqwyRnpPkVNUT3HVGpwZhQS9A7iyihElGYvNSc2ypAfYcnQXrU37sDszyMxLVpUpLK9i5XU3IggiFQuXGIoPTN6nKyubmqXLWXLNJjJycgkH/LQ2HefMkYM07tlFf3sb/jEPiXgc2WTCZLFccS2geDTKQGc75XUN5BYV8/6Lz7FwzbqJohLZhAMBFqxYRWvjUV780Xc5dXAPucWl3PXFr7DhtrtSMe6hwDj7X/sVx3e9iDMjh5s+8VUqG5ITf3KiOkzTvl8iCAIrrv08eaVJ2kvXdcaHDzPQ+TJWWx4V9Z/GZHZPHNMmqJKTmCzLZxhuhTH1DWJ6N5nS9djF6eGCOqeiu2mLH6HOsp4G6wbDPSu6whNjT9Mb7+PhnE9SaSm/pGiTD83zBjp27NhBRlEuOjruWTaRdF3n908d4T962vhm7RL+esHckSgXwqvdKp/cGSPDJPDaLZareiW/Zbw/oHLPOzFkEV64ycLGgsvz3qa/I9+oXcLfzOMdiWsK97d/j93B8/y66kvcljG7boSu63xv5EW2e/fwaO7tfCr7hrQ+US3Kj0Z/xqji4Qs5n6HCYlwV+tQRdgefQsbMZudDOKaVsVL1CB7lRRS8ZEu3YBWnlsua6iUcfBFdi2Bz3oI8bSkd9LbS174dQTRRXH0vQ90t5BUvwp1dxrnjL6FpCvUr70kr+TU21MO+157AM9BJfmkNa256gLziy5OUiEej9LSeo6/1PP2d7YwNDcKErTBZLGTk5OLKysbhdmNzODFbbZjME5y3KKCrE5x3LDpRRzNI0Odl7U23UFyV7qDpus6OZ35N3crVlNc1cGL3TiKhIA6Xm4LyChp3v0vzgd3EIhFKa+vZePs9VC9ZnjKiSiLOqYNv07z/TTRNZdmm21my4ZZU4lE8GuTs0e2M9DWTlV/L4vUPYbElN441LcFg1+v4PE04M+soqbpn2uZknEjoTdREJ2brWszW9am/qekJxtXXiek9ZIhbcEhLDPdzJrqXs7F9VJmXs8J2s2HCU3WVp8d+w6noaT6eeQ+rHUnKq7e3d96e94duvEtLZ/d8NF3nK6eO8oOeVv539UL+tu7SVbUg+ZD+5ZTCHx9KsCJb4KVtFkocv/uGW9V0BgMq/T6FkaDKeFgjENOIJHRULfmbyJKA3STgsohk2SXynRLFGcn/iv8F0vrP+TTueCtGd1DnJ5vNfLr28lZCmq7zxZOH+Hlfx7wn+YAa5WOt/8LpaD/PVP8B119w5afxd4NPsSNwnK/l38s9mZvS+gTUID8a/SkBNcgXcj9Dmdn4To8rg+wJPYOMic3OTxo2ozQ9ikd9mYQ+MuGZLZw6poWIBF9GU0ex2K7FZJkyRrHIKL1tzxKPjuHMWEHAG0KSzEiymdplt1/wvnVd43zjPo7vfIFoOEB5/UpWbL4zFc980Wc2PsaBN1+mavEy3Fk55JdOTVTxWJTR/n48g/14h4fxeUYJeMcJB/xzFicWJQm704UjI4N1226lbEF6mCbA+Mgwpw8dwGQ2ExgfQzbLtDYeY7i3C0mWaVi9ntU33JrSNIFkfclzJ/Zwcu9rREJ+yutWsObG+3FlTW1YDnYd4/yJl1GUGDVLbqW8fnOKQolFRulr304sMkxu0WZyi6e8ak0LEAm+gqZ6sNi3YJ6mFqjqEcbUV0now2m/q67rnI7upiV2gArzUlbZbk0z3L8Zf57GyEnuyLiVTc4pj/x33nirusaXm4/wk952/rR6IX93mYY7pur8/t44Pzuvcl+lxC+vM+Mw/W4ZNV3X6fOpnOiL0dQf5/RgnHMjCTrHEiQuU5zPIgtU5cjU55lYVGhmWbGFVaUW8l2/e5rknqjO/e8mM1v/ZKnM364xXVadUFXX+OLJQ/yir5M/r1nE/7dg6ZzvjEcJ8rHWf6E9NsKz1X/Ada7ZjYaiq3yz/5fsDZ3i8fz7uCszfWPdp/r40cjPCWkhPpfz6TQP3KsMsSf0DAIim5wPkClNZedpepwx9XXiei8ucR1Occ20ZXecaOhtlEQ7srkBq30rwkSlFVWNMdj1Kv6x01jtpeSXbsPhnkoqudj9J2JRTh18m9OH3iERj1JWt5wl628mr7Rm1nGapnHgjZc4suMNSmrqqFm6ghWbbyAei9Le3EgsEiYjJ4/Ciuq0OpKaqhKPRkkk4miKgk5Sf0WSTZitFmTT3JLL0XCY3rYWWhuP03mmmfHhZG3R4qpaFl9zLYvWbUyl+APEo2HOndjN6UM7iAR95JfVsmrrvansU0hy2y3HXsA70o47p5yFax5IFRHWdR3vyDGGet9GFM0UV91lUAlUEr1EQ2+g6+rEyqhy6pjuxaO8gkqQLOlmbOLUSkLXNRojO2iPH6fSvIyVtlvSDPcz49s5GWnmFvdNbHFtNjyH32njHddUPtN0kP8c6OavahbzzQVLLstw94c0Pr4jzoERjb9aIfONVaYPrLFxpdA1lmBna4Td7VH2d0bp9yWttCRCTY6J+nwT1bkmKrJkijNk8p0S2XYRt1XEahJSYXYJVSeS0PFHNcbCGkMBhX6fStd4gtZRhZahOJ3jyuRqlspsmQ2VVq6rsbKl1kaR+3eD809oOl/bn+AHZxVuKxV5cqvlsnhwTdd57NRhftTTztcq6vj2wpVz/uYjiQAfa/u/7J13nF1ltf6/e+/Ty5zpvSaTTHrvhSRAKhCkiICK1y5y7YoXf4LYRbHdKyqCCiIIFwGFBAmBhBDSe5tkMplM7+X0ttv7++MkIZOZVAKEK8/nk38y+5y9z97nPO9613rWs35FQ7KHJ4fcftoIXDV17m1/lM3Rg/xnzge4PmPOgGOCRpA/9jxK0AjxkcxbGOboPxgkZPTyRuQpdKEy030dOSeNwhLCIGCsJS5qcErD8CkLTozDEkKgJraiJrYe69Zb0q+QGezdQ2dTyv42t+RKfFkTTigqToauJejrPEJO0eiTIvgoB7et4dCOtSTjUbLyS6maPJ/ykVOw2t4UEBi6TmdzA4au09PWQkZuPuUjx9B0+CAbV/4Dq81GVkEhky9fTE9bCzvWvExeaTkjp8wgK7+QYG8PNofjRHv+6SBMk0gwQG9HGz1tLXQ2N9DecDQ1HV4IFIuVkuEjqBw7keETpwzI0fd1NnN413rq9m1G15Lkl1UxbvayEw1Lqc8cov7Aalrrt2KxOhg6ZglFQ990+1OTAToaVxIN1eNOq6CgfDlWm/fY/TZREztQE1uQ5XQcnmUnngVA0myhz3gJCYkMZRl2+U2rBEPobI+tpFWrYZh9KmMc8/txmyY0nux7moOJGpakLeQy78Dv2CVL3lFd58ZdG3ipp537qsZz55CRp32PM2FDp8GNryYJa/DoZTZuqHh3ScowBZsbE/yrOsbLNXFqu1NG9vlehZkVDqaX2plcYmd0gQ2n9eKmdCJJk71tKjuak2xtSrCxPkFfLOX4NjrfxuIRTq4a5WZi8bs/cOLBQxpf2KRR5pF47go7Yy6gLiGE4GuHdvPLhho+UljGn8ZOP2sjV7cWZnndrzmS7OIv5Z86bQ5cNXW+3/5XNkT388mspdyaefmAexY2wvy55zG69R4+mHE941z9UzgxM8SGyNNETD+TXEsos/XPg0bMnYTNzVjJJsOytL8WWGskEX0ZIXTsrrlYbW+SsJoM0N6wgli4AaenhIKyZdid/YmtqeZ1avesIC2zhIrRV5KVP+LE6zU1Sd2+zRzasZZgTzsWm53yEZMZMnoaeWXDCfX2Eo9FKCgbwpZVK0CC6YuuZs3fH0dRLFSOm0TI34skSfR1tDPlyiUc2r4ZQ9cpGjqcnWtfxjAMMvMKmLl0OafDy0/8mR1r3/Rhd3q8FJQPobCikpJhIygaOnyA3jwWDtBwcDt1+7fQ19GErFioGDWVkVMvJyv/pNROIkJjzTpajmxEmAZFQ2cyZPSVWO3H1TcGfV3b6G5bh4REbvEVpOdM6j/w2EwQDT2BYinC4V6AJB3PfQui5h5C5sZjDThXnShCAyTNGJujz9FrtDLGMZ/hjv5OgXEzzmO9f6NRbeIa3zJmeAY6CXZoffxs319Yccvv4FIi7+5kgqt3vM72oJ8Hx0zhUxcwzkwIwQMHdb6yOUUA/7jywgjgYsA0BZsaEzy7J8oLB6J0R0xsCswZ4mRhlZMFw5wMz3nn52KapuBAh8qa2jira+JsbkxgmFDkU/jAWDfXj/O8q0R+fOENafDHOTZuHnr+C68Qgh/VVfPt2n0syS7g6YmzztqJ2atHuOHoA+yJNfO70o9yc+b0QY/ThcFPO57ilfBObky/jM/lXD1ARnj8h9igNrI0bRFzPLP63U/VTLAl9k+69UaG2acxxnFZv067hNmA31gNSGQoV/QvZJoREtFXMPRmFGs5DtcCZNlz4nMHe3bT1bIGw0ySmTOF7MK5KBbnsdcadDTupL76FRJRP970QkpHzCe3eOyJbkghBF0tdRzZs4HGQzvR1AR2p4e80hH4u4LklQ5FSybIzCtg3Oz5rHzkQcbPXUDx0OFsWbWCtvojjJo2i6pJ09j+6ku4vGkkYlGcbg8jp85k68srKaka2W9SzclorKmmt72VjNz81EBjX8aA72IqpdFGS90+mmv30t1yFBBk5pdSOXYmQ8ZMPyGHBIhH+mg6vJ62+q2Yhk5+6QQqxizC5XmzESoSPEpn88uoiR48vmHkly7Gah/oGZ66j1EkyXVSYTJJwFhDQhzFIQ0hXbnihH8NpKbhbIo+R8KMMsW1jGJb/92dXw/waO/j9Oq93JhxHeNdAz146pPtfLP1YULtfdR/4kW4VMi7Nhpm2fZ1tCTiPDlhJtfmDV7EPBMimuCzG1SeqDO4ukTmsXl20t+ChvhCcbRH44mdYZ7aFaElYOC0Siwe4WL5GBdXVrnw2i+tYqk/ZrDqUIx/7IuypjaOZsCwHCsfmujh5kkeinzv/K6lPSb44JokGzpNvjjKws+mWbEp5/8sH26u43MHtjPem86KyZdRMIiR0skIGwlurX+QdZEaflB4HV/IGXz2oSlMftv9PM8G3mCBdwLfzPsQtlM6NjWh8bT/OfbHDzDVNZnl6VehSMpJ72GwJ/4q9epuci3lTHVdg/0k/wtdBPHrq9Doxi2PJU2edcJ5TgiBltxDMr4JJBm7c3a/KFzXYnS3riXQswtFcZJVMIeM3MnIx1wVTUOno3EXjTVriYV7sLvSKR46g4KKqdgdb+aNdU2ltW4/jYd20lK3n3gkgqFDZn4huqowdeESgr1B/F1dWG12MnLzMXQNu9PFyCkz+NdjDzNp3pUc2rGFEVNmkFdSxrrnnqJy/OR+RcWzwTB0Al2tdLcepbP5CB1Nh0lEU37gmXkllFZNpHzEZHzZ+SdeI4RJX+cRWus20d1WjYREftkkykbMx32SG2Ai1klXyxqioTqs9nTyShbhTR9+ztemmu34jdUYREmTZ+CWJ/T7zjSrB9kZewmrZGeG+zoyT3KcTP29hcd6/4YudD6c9SGG2gcuartjR7in7VHskpWvSFfz8aW3wKVA3g0uOx/YuR4Jiecnz70gh8CDAZMbX01yKCj43iQrd423vKP57aQuWHEgyiNbw7xxNIEswYJKJzdN9LBslAvPJUbYp0MgbvD8/hhP7YqwsT71Oa4c7uRj07wsqnJhuQACvVBopuDOrRq/OqAzI0fmqcttlHrO/z6+2NXGTbs3kmm1sXLKZYz1Dh5NHUfS1PhM06M8F9jJZ7Pn85OiGwft3hRC8JT/Nf7Qs5Kxzgq+V/gf+E7yaoYUya8OrWFdZD0VtnJuybwJzynH1Cf3sCf+CnbJxXT3tWRaTu68MwiZG4mae7GQQbplITbpzVSIaQRIxNZg6K3ISgEO1zwUy5t/TxHTK0RD9VisXrIL5uDLHn+CxIUw6Wk7SHPtBvxdR5AkmezCURSUTyIrf0S/CTGmYdDVUkdbfTUdTYfpbWvANA2EEChWFw5nOiWVw0nLyqN62w4sVhuetAwW3PhhXn36r4yePgeEoG7/biYvWHTCc/s4dE0lHg0RCweIBnsJ+7sJ9nUS6G4j2NOOeWyup9OTTn7ZcArKR1A4ZBRub/828likl47GnbQ37CAR7cNqd1NYMY3iylk4XCelMeLddLetJ+yvRlYcZBfMJiN36ol7czYIYRA2txExd6LgIUNZhE1+c/EwhM6++GscVXeSpRQxzX0tTrm/nceu2B6e8z+PV/FyW9at5FlzTz0NL4e2c3/H0xTZsvhx0afQO2OXeEQ33AAAIABJREFURs77jice4RvdzZS73KycfBmVbu/ZXjoAfz2i89kNKm4L/G2BnSsK3zlFRWtQ589bQjy6NUxP1KQsw8JHpnq5dZKHwnchYr2YqO/VeHxHmMe3R+gIGxT5FD4xI43bpnjJ9rxz9/jpep1PrlexyvDYPDvLSs7/3LuCfq7e8TohXePJCbO4KrfwjMebwuTbbc/xm+5XWZo2lj+WfRyPMrhr3mvh3fy440myLT5+UPhxKuz5A47ZHdvLs/5/4lHc3Jr5IYpt/WV5fr2dLbHniZthRjvmMsw+rV/0ljCbCBhrMInjkSfhlacgSW+mOXT1IMn4BoRIYrWNxuacjiy/qfiIhurpbl1HPNqCxeolM28a6TmTUE7qaI6Gumg7upWOpp2oiQgWq4OcotHkFI0hM2/YiaEDx6FrKn0dTfS0N9LX2Uygu5Vgbye6lkzdw2NyVlmWMU2FZFzHMAR5JblYrVaEMDEMHV1T0ZJxjEEGGrvTMknPLiAjr5isvFKyiypwp2X2z0ELQSzcTXfrAbpb9xPqawYkMnKHUlgxlZziMSjKm7uiWKSF3o5NRAI1yLKNjLypZOXNQFYs6GotkuxFUbKRZOdpFTuq6CKgr0GnF6c0Ap8yt1+aJGz0sS32AgGjk0r7FMY45iGftOsyhMGLwVVsim6hwlbOrZk34R5k4f9T70s80beGic5K7i28Da/iunQKlkfv/jKXDa/i6QmzybQN3hp/OsR0wRc3qfzxsMFl+TJ/m2+j8B3Sb+9oTvLbN4L8c38UU8DiES4+NcPLgkrne0JffT7QDMFLB2P8cXOIdXUJ7BaJmya4uX2Oj5F5Az0/3g7UBk0+uCbJnj7BnWMt/GCKFet53ufWRIzlO9azK+Tnp1UT+FpF1Vnz+g/1rOPOlqcZ6SjgySGfo9Q2uIf4wXgjd7c9QtxUuavgFuZ4BurMW9U2Hu97krAR4SrfEqa7pw7Ig++Kr6JVqyHHUspk1zJc8pvFSlMkCBpvEBc1WMjAp8zv749hJkgmtqAl9wEWbI7J2Bzj+xXUYuF6eto3EAs3Iss2fNnjycidgt3x5ucyTQN/5xE6m3fT3VqNrsWRZQvpuUPIzB1GRu5QPOkFgzoGplwBQ0QCPcTCAeKRIIlYBDUZQ1MTGJqGME0E4pi3iQWLxYbV4cTucONwe3F5fLh9WXh8WQO8TU7cq0SEQE89fZ1H6OuoIR5NDX/2ZhSTVzKOvJLxONwnaelNnbD/IH1d20lEW5EVB5m5U8jIm4ZyrDlQTWxNSTAlG6bejcO9YAB5m0IlbG4jau5Bxkm6Mr9fPUIIQYO6l73xNSiSwiTXUgpPGXsWNIL8re9pmtRmZrlnsNS3qF86DSBixPlRxxNsjh7kat8Mvph7HZZjx1wy5D3r97/iD/MWn7eta0PY5OqXk1QHBHeNt/DdSda3fdakEIKXa+L89+tBNtYn8Nolbpvq5dMz0yjL/PcwtjrUqfLgxhBP7YoQ1wRXDnfy5Xk+ZlUMbp5/MRHXBV/erPGHGp2ZuanFusx7ft+bmKHzH3u38HRHMx8uLOOhMVPP6kj4Sqiajzf8Eaus8Fj5p5ntGTbocd1agHvaHqUm2cyHM6/gP7IWD0i3xIwY/+t/hsPJI4x1jua69OU4ThracPKPX0ZmnOsKSq2jT4nCGwka6zAI45SqSFNmokhvRm2G0Yca34SuHUWSnNgck7Dax57QhkPKyrSvcwshfzUIE5e3jPTs8XjTR/Qb32WaBoHuo/S0HaS38zCxUBeQmmqflllKWmYJ3oxCPL58nJ7s87aAPReoySjRYAfhQDthfyuhviZi4e4T15GRM5SsgiqyC0fhcPVPiSViXQR79xDs3Yehx7DZM8nIm0J61gSECKBrDUiSA4u1lGRiC073YgBi4edxuOYjK8fb3wUJUUfQ2IBJBJc8ijR5FrL0ZsAZN8PsjK2iUz9KjqXs2OLbP5NwKF7D3wP/QBc616dfO0CJBKnC5HfaHqVd6+OO3Gu51te/2P2OkXdVVdV1wAdrampuPeX/yzlLh+WZENUEV69O8q3xVhYWvb1beN0QPLcvyq/WBaju0CjyKXx+jo+PTPGS5nhv5LIvNnqjBn/aHOIPm0L0RE2mltj58nwfS0e63nYSf+qozqffUFEk+ONcG9eXn196SgjBD+uquad2HxPTMnhm4uyzWgsfTnRwc/3vaUj28OOiG/lM9rzBt9Omxq+7nuNfoa1Mdg3jW/m3kmHp/wM2hcn6yAZWh9bgU9K4KeOGAQ09EcPPjti/6DVayLMMYaJr0SlRuEbE3E7E3I2Egkeegkce12+UlqF3kIxvxtCbkSQHVvsEbPaxSCctFroWIdCzh0DPLrRkAEm24k2vIi1zFO60IQPyv4lYkED3UQI9DYT6mogE2hEiJTuVJBmnJxOnOwu7Kx27Mw2bw4vV5sJqc6JYbMiy9UTLvhACYeoYhoahJdDUOFoySjIRIhELkoj6iUd60NQ3p9LbHF7SMkvwZZWRnlNBWmbJgAVDTfQR8h8k1HeAZLwLJBlv+nDSsyfiThtyzMMkSSK6Bqt9HIbehmLJRU3uxe6YgmIpQE3sRJYzsNgq0EQ3QeMNVNGGhSzSlXnYTtJuCyFoVPexL74WE4PRznkMtfWXF2pC46XgajZFt1BgzeeWjA+SbR1Y21sd2sEvO/+OU3bwnYKPMs41sHj5jpB3VVXVr4HFwO6ampqbT/lbOW+BvOHsHWRvFZoheGpXhF++FuBor86IXCtfmufjhvEerO9g4e5SRlwzeXx7hP9ZH6TJrzM638bXL09n+WjX25o+qguZ3LJWZVuPyWdHWPjFdCuu87SXXdHVykf2bEaRJP42fiaLcgrOeHzQiPPpxj/zUmg/H8qYxq+KbzmtC+bK4Bb+u+s50mQX/6/gVia4BiormtRmnup7hoARYJ5nDpenze832EEIQZ26kwPx1wEY5ZjDUPvkfrJEXQQIGhtIigYUPHiVGTilYf1kh4beTjK+DUNvBKxY7SOw2cefsJs9fq54pIlg735C/oOYRgJZtuH2DcHjq8SdNuSECdPJMA2daKiTSLCDaKiLeKSHeLSPRCyAloye8X6eDrJswe7y4XBl4PRk4fJm40nLx5NegN058BqEaRCPthIJHiESrCUZT0XlTncRaZljSMscjWJxoKkHMPR2FCUP2ZKDqXdjtY/ENIKYRi9CxDDNKLKchmn0oDjGERF7iIsaZBx45em45FH9R5kZveyKv0yP3ky2Uswk19IBPtytahtP+5+lS+9mlnsGi31XYpX679QTpspvuv7Ji6EtjHVWcE/BR8myDN7MtK+xhhsXLYe3mbw/BHQBn307yPvtwnHSvn9NgEa/zvjCFCEtG/n2EtJ7GZoheGZPhF+8FqS2W2NEnpVvXpHxtpK4agi+vUPjZ/t0RqVLPDHfzvis89sJ1UbD3LDrDfaHg9xbOYb/VznqjL7gpjD5WedL/KhjJSMc+TxW/mmGOwYWKAHqkm18t+0xWrUePpJ5BbdlLRyQ20yYCVYGX2JHbBf5ljxuzLiOQlv/RSRqBNkdX02nfhSfnMt415X9/MEh1dUXMjai0Y2FDLzKNBxS/zZ3w+hBTexCVw8DJoqlGKt9DBbrkBPFT0iRYTTcQDhQQyRQi66FAbA5snB5y3B5SnF6irDa0s8YPJmGjpqMoqkxdC2BoScxDf1YpJ7KeUuygqJYUSx2rDYnVrsHi/XMKTjTUEnE2olFWoiFm4hHmjFNFZBweUvxpg/Hm17VT6Nt6D3oWj1251S0ZDW61ojFNgxJsmCxlpOIrcfumIYpouh6C3G5mxiHAQmPPA6PPLlfikQXKocSm6hNbsMiWRnjmE+5rb+Fhy50Xgu/zmvh9XhkNzdkfIBhjoGLeF2yjR+0P06T2sUtmQv4eNbiAd+T43igaw0/3PsU3jteg4tB3lVVVZ8EvnLKf3+8pqZmW1VV1Xzgc+dL3mFV4LW9s0RpmIKnd0f46asB6vt0JhbZuPOKDBaPcL7rnYfvFRim4Lm9Ue5fG6CmS2NUvpVvXZnBslFvXzpldavBbeuS9CXhvqlWvjj6/GSiUV3n9gPbeaytgUXZ+Tw2bga59tPPYwRYEz7IJxv+TEJo/KL4Zm45TUNP3Ezy313PsSq0nVGOMu7Kv2XQ0WoH4zX8I/A8UTPGZZ7ZLEib1y86E0LQph1mb3wNcRFmtGMeVY7+5zyelw0bW9HxYyETjzIZp1TZL1o0zRha8gCaegBhhkFyYLUNw2qrQlbyByg5kvEuoqGjREMNJxHlsRmbznzsrlzsjmxsjiys9gwsVs9FedamqaElA6iJPpKJHpLxbpKxTpKJHiDFSTZHNi5vGe60CtzechRL6rmZRjDlBWOtQFbS0bUWtOR+nJ4lCGEQjzyPzTEZQ29FCB2QUOzDiVJNzDwIgEseiVeegiK9mVITQtCsVbM/vo6EiFBqHcMY5zwccn+lSLPawnP+5+nQO5ngHMc16ctwyv17DExh8kzgDR7uWYlXdvFf+bcwxX1mffmq0H7+evAVtt72DnRYni95m8emrYRVyLRLfG6khWzH21+IfOFAjB+t9lPTpTG2wMZdCzNY8j5pXzAMU/Ds3ij3veKnrje1EN69OJMFw87cJHOh6I4LPvmGygtNBouLZP58mZ0C17k/OyEEDzXX8cWDO8my2nli/EzmZQ3U3J6MNjXAJxv/xIboEW7JmM79xR/Cexo54drwbn7Z+Qy6MLg95xqu9s0Y8N2KmTFeDK5iZ2w3WUoWH8i4ekDDhi5UDie2UGSrwqcMfn1CmMTFESLGdnT8KHhxy+NxySP7ydmEMDH0ZrTkQXTtKGAgyV4s1qFYrENQLAX9SP/4a5LxLuKRVuKx9hSZxruPEWAKkqRgsaVhsXqwWFzIFieKYj+W77YgIYMkIYSJEAbC1DENFcOIY+hxdC2KroUx9Fi/c1usXhyuPByufBzuIpzuIixW1ynXl0ql6loTWnI/VttILLaUGiQeWYnNORNFySQZ34rNMQnTDKGZncSkJhKiDpBwySPwyJP72RIAdGmN7E+8RsDoJEPJZ5zzCrIs/SWfCTPB6tAaNke34pW9XJt+NSOdA83OOjU/P+14il3xI8xyj+breR8k3XJuIx3fyYLlfM6DvFc0GRwJmXx5jJUHqjWqA4IHZr19crR1R+J896U+drWqDM+x8q2FGVzzNudr/52gH0tB/eRVPy0Bg7lDHHxnSSaTS85PFnouEELw+0M6X9ui4bLAw3NsfOA8i5l7Qn5u2r2RI9EId1eO4ttDR2M5gxLKECb3dbzITzv/RZktmz+WfZwp7vJBj+3WAvy08yl2xGqZ4hrO1/I+OOh8zCOJOv4RWEGf0cd451iW+hb3m1J/rkhF4vVEzF1oogMJGy55BC55DFYp45RjVXT1KJpWi6E1ASZIDiyWEizWUhRryYmhyAPPY6Yi5GQfatKPlgyiayF0LYqhxVKkbCQR5kAdNwCSjCLbkS12FMWFxerGYvVgtaVhtadjs2dic2SdiKrPBWpyPwgTSbIgKzkolhx0rR5D78Y0ulAsJeg2B1FzH5roPHZvRuGRx/eLtAH69HaqE+vp0htwSmmMds6lxDpqwA5lb3w/LwZXETEjTHNPYXHalf2URMePezG0ld91P48Q8Pnc5SxLm3ZeQeIlR94rmgyGpUnUhQVPHdV5dF7qx/3lzSpfGm2h4jwlYWfDvrYk977kZ01tnCKfwl1XZnDzJM8FWZG+j7MjqQse2RLi/rUBeqIm145xcffiTIZmX3yJ5aGAyYdfS7KzV/CJ4Qq/mm47rxRcRNf4/IEdPNbWwNyMHP46fgalTvcZX7MxcoRPNz5Cmxbgm/nL+Hre4hO63JMhhOD54EYe7F6JLEl8OvsqrvHNGOCNogmN18LrWR/egCzJXO6dxyzPjH4FzTPBEDqG0E9M7lHNTqLmHuKiDjCxSYW45JE4pKEnnAvfvEYVXWtE1xowtCaESEXAkpyGYilAUfJRLHnISlY/dcvZIIRACAOOqVOQJCRJGRDdn/09ohh6FxZLYT/lzJvH6GjqQYQZRdeakZUMFCUTq30imuggbtYSF7WYJFDw4ZbHDtiVQIq0DyU20qHXYZOcVNlnMMQ+EeWUz9yudbAi8C/q1QYKrQVcm371AD/31HG9/KLz7+yI1TLBOZRv5N9EgXXwvoEz4ZLReT/z0hp+05ZDmUeiNmjylTFWfnVAY3aewjUlCt/ZqfHz6da3NKj2ZDQHdH70sp+ndkdId8h8dUE6n5rhxXGRnfzex+AIJ00eWB/kN+uDJHXBx6encefl6Re9Y1M1BPfu0rhvr06ZR+Ivl9mYk39+5/hrawO3H9iORZJ4cMxUbjrL3NSAHuNrrU/xtH8bU1zlPFj6MYY58gY9tkPr4+edT7MjVstYZwVfyb2B8kE6M3v1XlYGV3EoUUOmkskS30JGO0aeuaAnTDr0OhqSe8myFFNuG4v9WLelIWLEzIPEzGoMQkhYcEhDccrDsEvF/QqXkCJL0+jF0Fsw9DYMvf0EmYOMLGcgK5nISgaynI6spCHJ3mOmTRf2m0rxjYZphhFmCNMIYZp+TMN/TBWSGuzgcC/DahtoXieEIBF9CYu1HCGSoHhJmi3E5XZ0egEZh1SBSx597DP3j6C79SYOJ7fQpTdglRwMs09lqH0SVqn/bjFshFkdWsOO2C6cspOFaZcz1TV5wEJsCINn/Ov5c+8qFEnmM9lXcfUpC3ZNoh1dmBRY08m0uM+opLskyNu02OufX/ki/9uXx3cmWVnbZrCtx+QDZQoP1eiYAmbnyeet4x0MoYTJr9YF+N0bIQTw2VlpfHW+D5/z0htO8O+ArrDBT17185dtYVxWia/MT+f22WkXfRHd0Gnw0XUqDWHBneNSzVz285B51kXDfHjPZrYEe7mtqJz/GTmZNOuZdwvP+LfzlZYnSZga9xQs5/acBaf1RnkptI0Hu1cQM5N8KHM+H868YtBJ9bWJI6wMrqJL76LUVsKStIWU28sGHAcpwytNJLHLLuqSO3BIXopsw9FEEkNoOGRPyh9ctBM3a4iLOgRJJOw4pAoccgV2qXhAJHr8moUZxjC6MI1uDKMH0+hDmKFTjpSQJAeS5ESS7CDZjnUvKoB07J95LArXEUJDCBUhEggzBuinvJ/tWASdhaxkI1tyUJTcQSN/IQSa6CEpmkiYdWikpINWKRenVIVTHoYinVo8NGjRDnEkuZ2A0YldclNpn8IQ+4QBpJ0wE7wR2cgbkU3oQmemexqXp80fUJAEqI438suuZ6hLtjHTPYov5V5PrrV/I9HK4B7+7t/BdHcFe+LN/LL4Fhzy6b9jlwR598y9o/6Gmz/MuMI0ZucqTMyW+cZWlevLFKbnyqgGON5ixK0bgr/uCPOj1X66IyYfnODm24syKM349+iIvNRR06Vy70t+XjoYoyTdwr1LM7hurPuiForDquCrW1QePmwwNkPisXnnJynUTJMf1B3gB0eqKXE6eXTsjLMWMzu0IF9sfpyXQvuZ4R7KAyUfOW0U7tfDPNizgpdDO8i3ZHBH7rXMco8ecA8MYbAztotXQq8RNsMMtw9jYdrlFNn6+7QkzAgWycb22IvYjkWOXiWLVvUwvUYLSTNKmW0cuccGQQhhkBRNxM06EqIBQRKQsUmF2KUS7FIxVin7jJG0EDqmGUpFymYYYUYRZixFxiKJECoIDYEBiNSsS0kG5GPRvg1JsiHJKcKXZTeS7EGWvUiy79gicPrvhCHiqKKVpGgmaTZjEAYhsMp5OKQhOOXKft7axxEzwzQk91Cv7iEponjlTCrtUyi1jRmQHlFNlS3RbayLvEHMjDHGOZrFaVeQZRmY+gjoER7ueZEXQ1vJtvj4z5xrmevpP9mpUwuSZ/XxrdZn+HzOAoptmfyk40VkJO7MX3raz3pJkLfmzau/44G/U5KTSVtMIAFHw4KPVCpMzXnrEfHrdXHuWtFLdYfGjHI7P1yWxaS3oVD2Pt46Xq+L8/9W9rG/XWVamZ0fX3Xxn9WKJoNPvZGSFN470cqd4yznZamwyd/DbXs3UxeL8JXyKn4wfOwZW+uFEPzNv4X/av07cVPlv/KX8cXchVhPo+HdE6vj113P0qB2MsU1nDtyrqXMPpDwVVNlU3QLr4c3EBdxRjpGcLl3HkW2Qkxh0KwdJNdSRtyM0K03UuWYAaQGIfuUHKJGkHp1DyMdM2nX6nDIbrItJceu2UAV7SREI0mzCZ2UZ4iEDZuUj03KwyrlYZVyUCTXgGt7JyCEgY4fVXShmZ2ooh0d/7HrtGKXirFLpTjk8gHFR0hF2e1aHY3qPjr0lA94nmUIQ+2TyLNUDFgkVFNla2w768MbCJsRKu1DWZR2xQBzMUh5vT8f2MgjvS8TN5PckDGX27IW4jopN9+thflr3ybqkl18NGsmm6NHadeC/KToRrq0EE/5t/KfOVecdrHaX3+UG5YshXeTvMNVC+sf+OG3WTgij56E4MVmg4VFCsN8b23r3NCn8e2VfaysjlGaYeF7SzNZPubtb9t+H28Nhil4YkeEH7zspyticMskD/csziD/Io5q60kI7tio8r/1BtNzZB69zEZV+rl/36K6zjdqdvO7piOMcKfx6LjpTEs/c9GpUwvy9Zb/5Z/BXYxxFPHrkluZ6h58YrsuDP4Z2MgjvauImyrL02fysaxFA6xmIbV93xDZzIbIJhIiwXB7JZd55mCTVTq0I9hkJ4bQmehaBKRIq89oo0trRBNJMiz5RIw+ZMmCKQxGOmYhEKe430VJilZU0YZqtp8gcwAZF1YpC4uUgYV0FMmHRUpDxj2gCHq+EEJgEscQYQxC6CKILvxoou/YNRxryceOTco7tksowirlDMjbH3+/XqOVFvUgLdohVBHHIbkptY2lwjYOtzLQJjhuxtkS3caGyGaiZpQhtgquSFtAxSDpKiEEW6IH+X3PCprULia7hvOfp1l8H+3dQMCIcV36JB7ueZ0b0qdwX+eL3JwxjfWRWkY6CvhE9twBr0sYBvce2c+DO7eSe+/98G6Sd++MT9R/8/ZP0CJ83DHKwvC3SNqRpMkvXgvwwPogViWVR71jzsXPo76PtxehhMnP1wb4/YYgNkXi65en87nZPuwXqWgN8GSdzh2bVGI6/HCylS+NtpyX0ujl7nY+uX8rbYkEdw4ZwXcqx+BQzrxbXBHYzddb/5d2Lcgns+dyT/5y0i2DR68BPcIjvatYEdyCU7ZxS+bl3JA+F/sgudCEmWBzdOsJkimxFjPHO4sKWxEdeh0VtvHsi68lZPRQYR9PkbUKv9GB32inzDYW1YxTr+5hmH0qDepeEmaUbEsxRbaB+mRTqGii+9i/HnTRh44fcUqOWsKOjBNZciBjR8aGhAUkBelYzlsgACOl9UbDJJXzNohjEuc4QR+HggeLlIlFysIqZWOTclHwnTYoM4VBj95Cu1ZLq3aYhIigYKHAWkmpbTS5looBxUUAv+5nY2QL22I7UIXKcHsl872XnbbGUJNo5sHuFeyO11FszeFzOVcz091fSrgz1sjmaB2TXeW0aQGckpUlvrE869+B34iyOG0Mr4VrSFMcLE+fOOAc2wK9/Me+LVRHQnzY5mXb578K7yZ5N972eP2t04Zwx8R0JmdfOMEKIXhmT5Tv/KuPtpDBTRPc3Ls085IZrvs+LgxHezT+34t9vHQwxtAsCz++JouFVRdvq94eS01eeqHJYE6ezJ/m2s5r1xfUVL56aBfPdLRwYO5Sihxnv7aQEef77S/wUM86si1eflB4HR/KOL3OtyHZwR96VrI5epAsJY2PZS1iiW/qoDJE1VTZGdvNG5FN9Bl9pCs+prunMsU1iR6jnpgZJGoEKbQOwyrZiJkhyuxjaUjuxS676NPbsUl2Cq1VNGn7GWqbfEJqeCakouQoughhEMYQYUxiGCKGSQIh1BQxowPGMdIWgISEjIQFCSuSZDtG9E4UyYWCG0XyokhpKKSdUzQfM0N0aQ106vV0aQ1oJJGxkGcpp8hWRYG1ckAB8vhnOKo2sDmyherEISQkxjpHM9cze4BdwXE0qV080rOK1yJ78CluPpq5kOXpMwc8mx2xBv7Wt4UrvCPZFWviUKKdxWljGO8qwRCCv/Zt4vuF1w1apIwbOvfW7uf++hoKHQ4eGjONMUnj3c959878dP22791MRemFe5sc6FC58/leNtYnGF9o477lWUwvO3cx//u49PFKTYy7VvRxpEdjyUgXP746k/KLZMErhOCxIwZf3KyiGvDjKVa+cJ7t9R3JOPn28+sc3RVr4qstT7Ij1sAsdyU/K76Jsc7T/w72xOp4qOdFqhONFFqzuC1rIVd4Jw7qgWEKk0OJGjZENlOvNmDBwhjnKKa6J5NvyUYljlPysCv+MiW2UbRptYy0z2J3/BUmOBfiVnzsjq2mxDaSLMul5Tt0MoQQhM0++vRWeo1WevRmomYAAIfkJs86hHzLUPKs5VgGUc5AyqJ3V3wPW6Pb6dZ7cEpOpronM8M9jXTLwAInQJvay2N9q1kd2oFNsvLBjMu4KWM+7lO6a01hIksyf+vbQoPaw135V9GhBflqy5Nc45tAs9rH0WQ3n8uZzwTXQBnq+r4uPrV/G4ejYT5VPIT7R0zAZ7VdGgVL3oIxVTBh8pPVfh7aHCLNLnPPkgw+OsX7fpPN/1GouuB3G4L8bE0A3YQvz/PxpXk+nBcpJdYaNfnsBpWVzeYFReEXAlOY/KVvI99tex6/EeXjWXP4dsE1ZJ2mTVoIweboQf7cu4ojyVaKrdncmnkFV6ZNGjQSB+jUutgS3cau2B6SIkmWkskk9wQmOMcjkcRvdOCSffiUHA4mNjDRtYi4GWFXbBUz3defdkewN/4qNslFmpKNV87ELaf3y5VfTKRkjXEipp+Q0UPI6CFodBIwutA23At3AAAgAElEQVRJ+azYJAdZSjE5llJyrGWkydmnvXZDGNQmjrAztpuDiRoMDEqsxUxzT2Gca8wAx7/jaFG7ebzvVVaHdmKRZJb7ZnFL5oIBlr8NyR5eCO7GIVv5dPY84qbKRxse4oeF11PlKOA3Xa/y2Zz5GMIcNNoOair/VbOX3zcfocLp5g9jpnLlSbM537PkLYTg6d1R7vlXH10Rg49N9XL3ogwy3e/rtf8d0BbUufvFPp7dG6Usw8J9y7NYPOLipFKEEPzliMGXN6skjAvLhZ8NMUPHdYpCxa/H+FHHCh7ueR2PbOeb+cv4dPZlg+a3j1/nhugB/tK7miPJVvIsGdyUMY+lvmmDasQhlVLZH69mR2wX9WoDAGW2UsY5xzDaOQq37KRB3UuX3kimUoBb9lFsGzlos4gpDFaH/3giyoVUAsQpp+GSvDjlNByyG7vkwiY5sUoOLJINi2RBRkl5mwACgcDEEDo6GrpIoooESTNGUsSIm2HiIkzMCKKRPHEuBSs+JYd0JY90JZ9MSyFeOfMsUkKDBrWJffH97I9XEzNjuGQXE5zjmOyeSIF1cGdIgNpEK0/617IuvAeLpHC1bya3ZC4Y1LJ1f7yF+zr+xWdz5vFg9zq+mreYia5S/hHYySuharItHkJmgh8X3oBNsgxoEHq2s4UvVO+gM5nkS+XD+f6wsbgt/b8v70nyPtSp8o3ne3njaIJJxTbuvzabicXvS//+HfF6XZw7n++lpktj2ahUKuViaffboiaf26jxQpPBjByZP11mY+R5KFIGQ0jT+EdXC39oruOO0mHcUjiw+HUo0c63Wp/hlXA15bZs7i24luvSJ52WlI4rHB7vW8OBRAM+xc21vlksT59FpuX0Xih+3c+e+D52x/bRpXchIVFqK2Gko4oKWzG51rx+U+xPB00kCRu9hM0+IoafmBkgdoxwE2YUc0CjzbnDJjlxSh6csheX7MMtp+NRMkmTs3DJpy9SngzVVKlLHuVgooaDiRqiZhSrZGWEo4oJznEMd1Se1npVCMG2WA1P+9exI1aLS7az3DeTGzPmnfHe1iTa6dWjzPJU8r325/l63hJcxxbUmkQ7ISMxqNKoMR7lC9U7eKGrjQnedB4aO40pvsxBz/GeIu+YanL/2gD/83oQj13mnsUZ3Db1/RTJvztUXfDbDUF+9moqAvzGFencMcd3UQZlCCF4oi6VC49o8J2JVr4xznLeczOPv5ckSfy2sZZXezt5ZtKcMx7/Sqiau9ue5UCijUmuMr5b8AHmeQcqP07G3thRnvK/xqZoNVZJ4XLvRK5Ln8Nwx5l/W51aF/vj1VQnDtKudQCQoaQzzFFJpX0oQ2zluJTz39kIIdBRUc0EGkl0oWIIDZPUtPnUDEsJGRkFC4pkwyrZsEoObJLjglIwpjBp1zqoSx7lSLKOhmQTOjp2yU6VYxijnaOosg/DdprdCaQsfF8O7eAfgTdoVLvIUtK4LmMOy30z8ShnX9AMYRIxk8TMJGvDhxhuz+fBnte4Pn0SS33jBhyvmga/ajjMd4/sB+C7lWP5cvnwM5qhvWfIe9WhGHc+30uTX+eWSR6+tzTzHZ1c/m5CCEE8aRKMaoRjOrGEQVIz0XQT45iKSpHBapFx2GRcDgWvy0K6x4rD9u9xjwCa/Bp3rejjxeoYI/Ks/PHmXEblXxwnys644AubVJ6uN5iQKfGnuXYmXqAy6pP7tnBjfglLc1Idkd3JBNuCfXgtFuZm9u/YNITJk31b+GHHClo0Pwu8I7g7f/lpHQuPo0nt4jn/G6wKbSchVEY6SrnGN5P53vGnTakcR0APcChxmNrkEeqS9agilU/Os+RSZi+l1FpCsa2IbEvWoBK7dxpxM06r2k6L1kJjsolGtZmESACQa8lhuKOS4fbhlNtLz2rodTTZzguBTbwS3knUTDDcXsz1GXNZ4B2P9TzMt47jib7N/L57LdPcQ7g5Y/qgz+213k7uqN5BdSTE8twi/mfUpLMaoMF7gLzbQzp3vdDLP/fHqMq18vNrs5g95O3xgn430RtSqWuJUt8eo6kzTkt3gvbeBJ19SXqCKgnVPPubDAKXXSE73UZehp3CbAdFOQ7K8p1UFLioLHLj8/zfswd4sTrKj1YHeOYTeeR5L65M9LkGnc9vVOlOwDfGWrhn4vmZpf2p+Siv9XXxl/EzTvzfh3dvQpEkutUk1+QWckthGRmnTEtPmBoP97zOzztX0WtEWJY2jrvyr2K8q+SM54sYcVaFtvNCcBNNahdu2cHl3gksSZvKCEfpWdMOhjBoUVs5qtbTkGykSW0hKVJ5Z5tkI9+aR741j1xLDjmWbLIsWfiUtNOmId4K4macPt1Pj95Ll95Np9ZFh9ZBn+E/cUyOJYdyWykV9nKG2MtJUwYfIXYyIkacteHdvBTaxsFEE1ZJYZ5nPNemz2KUo+yM9yhuqjQkexjpLBz07/d3vkSm4h602aY1EeMbh3bzt/Ymyp1u/nvkJK7JG9iteTpcsuRtmII/bQnz/VV9aAZ87fJ0vjjXh+0iNmi8GxBC0N6bZHdtkH1HwxyoD3OoKUxv8E2PY6siUZDtoCDLTn6mg+x0G1lpVnweK16XBZdDwW6VsVnkE37jpilQdZNE0iSa0AnHdIIRnd6QSndApbMvSVtvgo7eJIb55nPMy7AzoszD6AovY4emMaEyjdyM93794O2ca+pPCr62ReXPtSn74ofn2Lis4NzIanuwj3Knmy2BXq7KLeQvrfX8obmOP4+dzm+barm1oIzhbi97wgGGubwUOPoHKmEjwe+61/Kb7lcIGHGWpY3jzvylTHIN3jhyHCmf6aOsDG5hfWQfSaFRYs3hyrRJLPBOoNiWc07XbwqTbr2HFrWVVq2NDq2TDq3zRKQLICOTpnhJU9Lwyl7cigu37MIhObDJNqySFQuWE1G7QGAKE01oqEIlYSZJiDhRI0bEjBIyQgSNUL9zSEhkWTLJt+RRaCug0FpIia1oUFOowaCaGltjNbwS2smmaDWa0Cm35bHUN51FaZMH7WQ9GVEjyZ973+DXXatxylZ2jrx3UKWPIcwBZmRJI5Ui+X7dAXRhcmfFSP5r6MgBBewzIaIJHtrcxO8/tQguJfLe367yled62N6cZEGlg59/IJuKrPdmhCiEoL49xqb9frZU+9lRE6Sj71jkYpEYVuJhZJmHqlIPQ4vcDCl0UZjteNvy+Jpu0tKdoL4tRm1LlMPNEQ42RjjSEj1B6sU5DqaMSGfG6Axmjs6gOPf/3k4HUkOT24MGQy7QS/yVVoPPbFCpDws+U2XhvqlW0u3n9txWdLWyJLuA+44eZH5WLrMzcvhD0xEAEqZJYzyKJkyWZBewLHdgVBc04vyuey2/7V5DwIhxuXckX89bzGz3sLMuWlEjwWuRPbwS2sGe+FEAKu1FzPOMY45nDKW23PNa+FI66wg9ei+9ei9+3U/ACBIywoTNCFEzStyMH2vKOTdYJStu2YVbdpOmePEpPtIVH5mWTLItWWRZMk8r5Tsd4maS7dHDrI/sY2P0ADEzSbriZoF3IovSJjPcXnzWz+3XYzzUs47fda+l14gwz1PFf+UvY7Zn2FnPL4Tgha42vnpoF3WxCMtzi/jFiAkMdZ/fgI1VLQaf3aDS2trKkAevgkuBvLPyCvnZmlRBMt0p88OrsvjghIvrLPdOIJrQeWNvH6/t6mX9nl7ae1NknZ9pZ8qIdCZX+ZgwzMeIMg82y7ufMwRIqAYH6sPsrg2xoybAtkMB+kKp3UBZvpPLxmcxf2IWM0dnYP8/kEdfdSjGoU6V7c1Jrh7t5kMTz2301KmI6YJ7dmj88oBOnlPiNzOtXFemnPN3dlV3O4+01nNtbhH/7Gqlwulmii+T6/NLeLajmcZ4jK9UVNGWiFPoGLiIhow4D/e8zgPda+jWw0xxlfOl3IVc7Rt/xgHKx9GtBXgtsod14b1UJxoBKLZmM8M9imnuEYxzVmA7gy3puSKl0VZJiiSa0NCFgXnCl0RCQcEiWbBJVuyy/ZyHTZwN7VovW6M1bIkeZGesFlXopMkuZnvGMN87nkmu0ytNTkaz2sfvutfySO8bRMwki9JG8428JUx3D/QRHwx7QwG+emgXr/Z2MtKdxq9GTmRRzuAdm6dDd1zwlS0qj9cZjPBJ/HhoN9+8eSG82+R93yMr+f4GO0d7dW6d7OH7SzPfU5ptf1hj9bZuVm3tYuO+PlRd4HEqzB6byZxxmcwam0lZ3ntnFqYQgtqWKBv3+3ljby+bD/iJJ01cdoW54zNZPC2Xyydn43W996wHuiMG968J8M0r0sl0K3z9nz188TLfW5IY7ugx+dT6JLv7BNeWKvxmlpVi97ktzAfCQTqScUZ6fGwK9DDM5WVcWjp3H97LhwpKebajhbChE9Y1vjV01KDFrLip8njfZv676xUa1B7KbVl8NnsBH82aSdo5qCMAurUgG6P72RipZne8Dk3o2CQLY50VTHRVMs45hOH2EmzypfvMu7QA++JH2RM/ys5YLW1aLwAF1kxmukcxyzOa8c4h50TYQgi2xxp4oHsN/wzsAuCGjMl8KXfhGbtgT0Z7Is49tfv4U0s9PquVeyvHcHtpJdYzqEgGu46/HDH42haVkAZ3jbfwrfFWuttbL42cd8/iRygrKeaX12Uzr/K9sU2PxHVe3trNCxs72bC3D8MUFOc4WDQth8snZTNlRDrWSySyfqtIqgabDvhZs6OH1du76fKr2Kwy8ydksXxOHpdPyn7PRORra+MkdcGSkS5WHoiy4kCM392Uyvl2hQ1yPPIFLbK6KfjFfp17d2pYZPjRFCu3jzi/5p5vH96LS1FwKxYcskK61cZT7U08O2kOj7c24LNauTr39EUtQ5isCO7hN92vsiV6FI9s55bMGXwqa+5pi2qDIW4m2ROrY3usll2xWurVlHzQKikMsxczwlHKcEcRlfYiSmw5F6TEeKvw62Hqku3UJluoSbRwMNFItx4EwC07GOccwmTXMKa4qyix5pzzM42bKs8GdvJQzzp2xhpJkx18LGs2n8tZQIltcM31qYjoGvfXH+Jn9YfQTMEdZZXcPXQ0mbbzqyfVBk1u36jyapvJrFyZP8yxMTojxSmXTMHy6ruf5fs3jcRlu7TJzjQFW6r9/P21dlZt7SKeNCnOcXDVrDyWzchldIX3PRNdXyhMU7DzcJAXN3fy4qYuugMqXpeFq2bm8sEFhYyvTLuk78GawzGe2xfljjk+7n2pj28vymRMgY2N9Qn+sS+K1y5x62TvBc/VPBpK/eBebjWZliPz4GwbE85j6MPT7U00xmPcXlrJZ/Zv4/NllczOyOFvbY3URsPcM2zMOb3Pzlgjv+9ey7OBnahCZ5a7ko9lzeYD6RNxnkUueCoCeoR98XoOJBo4mGiiNtFCQqTSagry/2/vvgOjKNMHjn9n+6b3Rhp1AGlKFxALKCoIIjbEU0+xcJ7tFMXT8xQU0fNO7A0Rz46IgBUBFelNpA8QSEJCetvdbJ+Z3x8Bf8hRkrDLbsJ8/mKZze6T3c2z77zzPs9LpimJLFMKmcYk0o2JpBrjSTLEkmiIIVpnbdaSQq/io1q2U+m3UeGvpcRXzUFvFUW+Cgq8ZdTJ9b/fN92YQGdLNmdZcuhmbUt7c0ajpo2OtNN1kDnVq/ioeg21shPRnMbEpKFcn9CfaH3j+iR5FZm3D+zjqb3bKPd6GJeWxfROPejQxHltr6zy/FY/Uzf7MOtgRl8jt3f+Y6+dsEneze1tcrpU2bx8/uNBPll6kMIy1+/J6srz0uktNq7SqzWSFZXV26qZv7z09y+zTlmRXHdRG8YOTQ/baZX5WxzUuBQO1vl57OIESm1+9lT4mLvZwY97XVzZI4o7z40hI7Z58auqysf7ZO5f46XKA/edZeCf5xiJMjbuc6KoKoqq8kzeDkYkp5NrjeT2bet5ulMPzoo+dqOk46nyO/hv1Sreq1rJPm8FsTorV8X35vqEAfSL+N9NBxpDVhUOeMvJ8xxkn6eUQm8ZB3wVlPiq8KnyH+6rQ0e03kqUzopVZ8YiGDEKDatNBBpWm/hVGY/qw614qVfc2GUX7kPry48Up48k05hMtimFHHMa7c3ptDdnnHR1yPFU++uZX7uRD6vXsMGZj1HQMyq2J39OHMKQqE6Nfm1kVeHjg4X8Y89W9rvqGZqQzAyxF/1P0uP9WH4plblzpZcdtSrjcvXMHGAk4xhTcFryPokte23M+e4A36wuw+tX6dcljmsvymBE/5QzqgCmMexOP1+tKuPTpcVs3WfHatYxZkg6fxqRSaes5l0QDCaHR2HWGhuTBsdy19wK7jw3hj7ZFt5ZbaN/rpn0aAOf/+agd5aZvtnN61BZ7VF5ZL2XtyWZ7EiBlwcauSKn8V8IO+x1TMvbTr/YRNpYrFx9ks2PT0RRFVY49vDf6tUsrP0Vl+qjrSmZcfF9GBfXu0nTKscjqwpVfhvl/hoq/XVU+e3Uyg5sspN6xY1TceNRfPhUP8qhriYCAgZBj1kwYtGZiNCZidZFEKuPJN4QRaIhhhRDHKnG+D/sRNNc9bKH72xbmVe7kcW27XhVP10tGUxIGMh1Cf1IOkHZ+9EUVeWL0iKe2LuVHQ4bvaLjeEbswYik9CZ/KVa6VR5e7+Xd3TK5UQKvDDRxefbxc4yWvI9BVlSWrK9g1teFbJTqiLLqufK8dCZcnEmHzOZ9w59ptuTZ+HBxEQtXluH1KQzpkcCtI7MZ3OPEjYNC5V/LashNMDKuVxTj3y9jYK4Fi1HA61cpd8h0SjZyQ5+mnfoeaWVZw2hqW03DBc2XBhrJjgrdFKFNdrGodjOf1qxjuWM3CiqiOY1Rcb0YFduLXtassHyfmqvG72SxbRuL6jbzg207LtVHmiGWq+J7c218P3o28fdVVJUFZcU8uXcbv9lr6RwZw1Mdu3FVWlaT2ggffqw5e2QeWuelzgsPdGso/oo8yVmalryP4PMrzPu5hLcXFZBf4iIrxcJNl2Yx7vyMsD39D3fVNi8fLynmg8VFlNd46ZITxe2jc7hsQAoGffhc36h0yDy3rJaEiIaY+mabqXEqjOsVxccb7cRadVzWNZIyu7/ZVZs+ReU/2/w8+WvDXPETZxu5v1vz+qQc6eFdm6mXZSa369yosuqjlfnqWFC7mQV1m1jp2IuCSroxloujuzEspivnRYnEH2enn3ClqArbXMUste/kB9t2VtfnIaOQZohlZFxProw9h3OjOjR5XlxWFb4oLWJq3na22uvoGBHNPzqcxfUZ2U1+LICt1QqTVnlZUaYwKFXH6+ea6J7QuMfRkvcR/LLC8PvXEBNp4I4rcrikf4rW9CpAPD6FRStKeXtRAXuLneSkWZk0JpfRQ9LCakVOvVch0qTj2SU1XHdOFCa9wJLdLpIidXy/y0mUqaGq9bGL45u9HVuBXeHeNT4WFMp0jRN47VwTQxtZoXks9+zYyBuFeQBMyMjh4XZdEKNOXhZ+LFV+B9/ZtvF93VaW2XdiU9zoEOhpzeK86E4MjOxA/8h2x+01HiqyqrDdVcya+n2srN/DL47dVPodAHS3ZHJJ7FmMiOlBn4icZl48lfnwYAEz9u1EqrcjRkbzWPuzuC49+4TNo47H7lV58lcfL273E2eC5/qZuLmjvkmjdi15H6Wi1kNSrKlVnTKGE0VR+WF9Ba/Oz2f7fjvZqVb+MjaXMUPSwmIkrqoqsgIzl9fh8il4/Crnd7DyySYHfbPN3H5uLG+srGNAroVebU6tjcCiQj/3rPaR71C5ob2e5/uZSI9o3ueu0FXP8/t38c6BfXgUmTGpmTzUtjMD45OaHZ9PldlQv59l9l0sd0hsdBbgVRvau7YzJXNORA49I7Lobs2kiyWdNMPpuXDvVnzs8ZSx3VXMFlcRm52FbHYV4lAaiuEyjfEMjurI0OjOXBjdmXTj/24q3Fg2n4+3DuTxYr5EscdFr+g4prTvylVpmc0aaauqytz9Mvev9XHQqXJbJz3P9jWRaGn666Ylb01IqKrKsk2VzJy7n+377bTLiOCBa9sxon/TSrODaeV+FzpBIM6q4+Xldbx2dcNa8HvmVXBJ5wguP+vUr384/SrTf/Px3BY/Zj08dY6Rv3Rt/lRKucfNywW7ebVwLzU+LwPiErk/V2RsamazRohHcileNjkLWFe/nw3O/fzqLKTI9/9NoWJ1VtpbUmhrSibHlEAbUzzphliSjdEk6KOIN0QQpbNgPmrzgcNkVaFe8WCTXdTITir8dsp8Nkp8tRzwVpPvrSLPU06htwrlUKm9WTDQzZpJ74gc+ka0ZUBke3LMTV/hcbT9TgcvF+zhnQN52GU/FySkMLldFy5JSmv253NnrcJfVzes2T47seGMa0BK88+4zojkvWRDBWajjqxUK7lpESiK+ntDJ01oqarK4vUV/OfTfewpqqdH+xgemdCB/l3jQx3a76rqZWYur2PSoBhW5bv5fqeTN69NOfkPNsGeOoV71nj5rkihW7zAywNNnH8KUykOv4/ZRfuZWbCbPKeDTIuVSdkduTWzHSnmwO3tWuV3sM1VzE73QXZ7yshzl7PfW0mRtxo/x+6EqUPALBjQCzoEBBRUfKr8+6j+WOL1keSaEmlrTqajOZXOljS6WjLoaEk97tZvTaWqKsuqyni5YA8Ly4vRCwJXp2XxQNvOx90QoTFsXpWpm328uM1PlBGm9TZyZxOLt45l7Y4D/OnKYdBak/dHPxSx+0A9/bvGMffHEt55uKeWuMOQrKjMX17Cfz7bR2mVh2F9knhkQkfapofHhbLvdzn5fpeTdolGLusSQbskY8A7F6qqyoKChlPqfIfKtW31PN/PSNYprEqRVYWvy0t4qWA3S6vKMAk6xqVlcXtWe85LaHzVYVMpqkK5306pr45yv51qv4M62YVDcVOvePGpfvxqw/hZh4BJ0GPWGYnSmYnRW4nTR5BkiCLFEEO6MZaoRhbJNEel18P7xft580Aeu+vtJBnN3J7dnruyOpBpbf7nT1FVPtwrM3m9l1IX3NpJz/Q+JpKtgXnN3/2pkBl3BLG3iSiKscAHQAxgAh6QJGn1EcdzCULylgodiNlRPPP+Hu69pi2RFgPPf7QXs1HHPVe3C9jzaALL7ZV59+sDvPFlPl6fwk2XZXH32LZhsdpHVtTfR0vBbDnr8qvM2OJjxhY/OgGm9DDyt+6GJvUNP5adjjpeL9zL+8X51Pl9dIqM5pY2bbmxTS5tLOHxJXm6yKrCD5VlzC7ax5dlxXhVhYFxidyV3YGr07Kx6E9tNL+hQuaeNT5Wlyv0TdLxyrlG+iWf+hlCnUvm3bV2holWFmwo5b8PBrElrCiKTwI1kiS9KIqiCHwsSdI5RxzPJYDJe29RPQtXllJc4Wbseel8t66c+GgjD1zbniqbl/k/l3DryJM3odeEVkWthxc+yePzn0pIijUxZUJHrhiceka9b/l2hQfX+ZiX31C08a9+RsbmNr5j4fE4ZT9zSw4wq2gfv9RUoEPgosQUbsjIZUxqG2KNgdl9KNyoqsqvtho+Kingo4MFlHjcJBhNTMjI5basdnSPbv6FzcPKXCqPbvAye7dMsgWm9236KpLjKazxMWNpLQNyLJQ7ZFINNqbe1riRd3OHPv+B37d8NgDuE9z3lK3YWk1qvJnbr8hh4YpSBvdIYO6PB/n8p4P8uKmSUYOaf8FBc/okx5l59s6ujB+WyRPvSjzwynY++/EgU28TaZcRnoVS+6t8+BWVjsmBSX650To+v8jMjwdl7l3jZdwyL+en6/hP/6b1SjlahN7ATZltuSmzLXvr7bxfnM8HB/O5eetazNt1jEhKZ1xaFiNTMohr4YlcVVU22WqYV3qAuaUH2Ot0YBR0XJqczp/a5DIyOQPzKY6yATyyysztfqZt9uGWGwptHj/bSKwpMLkmr9JHUqSOhAg9E/pEsb3Uxw9bbI3++ZOOvEVRvBW4/6j/vkWSpPWiKKYB3wL3SZL08xE/k8spjLxVVWVvcT3vfnWA6Xd2YfnmKooqXIy7IIMte23klzgZenYi+SVOrGY93do1b/2rJnRkReXTpcU8/3Eebo/MpCtzuWNMbtj0Qj/s6tmlrNzvZtrlCdzSL7ANyvyKytuSn8c3+qj2wJ876Znau/lLC4+mqipraqv4tKSQz0sPUOxxYRAEzktIZmRyGy5NTkeMbBlN1xx+Hz9Vl/N1eQlfVRRT5HahFwQuSEjhmvRsrkrNbHJ3v+NRVZV5+TKT1/vYb1cZmaXjhf4mOsUG5rNZavMzZ50di1Hg8q6RbDjgJtqs4/KzIpn8eQEL/h7knXREUewOfAI8KEnSt0cdy+UUp012H3Bw/0vbeW5SVyKtelZvqyEm0kBMhIFv15bzxM2dWky7Us3xVdZ6eOq93Xy9upxOWZHMuLMrPTqEz5dxic3P3Z9XsmyPixFdInh5bFLAN8mu9TSsXHh5hx+TDh7pYeSB7gYiArg9oKKqrKut4svyYhaVF7PD0TDCy7JEcFFiKucnpHBeQjK51vDYKMUp+1lXW8Xy6gqWVZexqqYKn6oQqTcwPCmV0SltGJXShsQAJezD1lXI/G2tjxVlDSuE/t3fxPA2gXu/be6G3juz19q5qJMVvQ4y4wykRev5rdiLy+ng238Ed867K/AFcK0kSb8d43gup5i8V22rZsd+O3kHnXTMjOTcbvEs3ViJyyMzfngmGUnBu1KtOf2Wbazk8Xd2UV7j4Y7ROfx1XDvMxvAYhSuKylurbfzzuxrirDpeG5fEhZ0CfzFwr03h4fU+vsiXaRMhMLW3kT910AelIjjf6eD7ylJ+qCzlx+pyqn0N3f7SzBb6xybSJzaBs2Pi6R4dS5YlIqgJ3Sn72eGw8Zuthk22GtbVVbPZVoNfVRGAXjHxDEtM5eKkNIbEJwdkSuRo+2wKf9/o45N9MqlWeOocE3/upMgoGA8AABJXSURBVMcQoNf+8FJmn6zyyi916AS4d2gca/LdfLzJzoxRifwguegWXc2Ii4O4VFAUxQVAT+Dwg9dJkjT6iOO5NCF5F5Q6Wbm1mvhoI5cOSAXgvW8PYDbqWLiilOgIA29N7olfVsKiYk8THLZ6H0+/v4fPfyqhc3YUL9zdlc45zW8cFWjbSrxM/KScXeU+7h4Sy+MXxwdl8+xfSmUeXOdjXYVC93iBZ/uauDSzeZtJNIaiqmx31PFLdQWraytZV1fN7nr778ej9QY6RUbTPiKKthFRZFkiyDBbSTaZSTSZiDWYiNTrser1GA61hJVVFa+q4JRl7H4fNT4vlV4PpV43xW4XBa569jkd7HE6KHDV/74TZrTeQO/YBAbEJTIoPolB8cnEB3GOvtKt8vRmH6/u9GMQ4G/dDUzubiQ6QPPaAOsL3fxW7KVvtpmebcxUOmRW5bu5olskP+5xsbPMy6TBDS2BW1SRTlG5i6lzdjN+eCafLSvmmgvbMLRXIp8tO8iOfDsTLs5ko1TLNRdmoKpo67nPAMs2VjLlzZ3Y6n1MHt+Bmy7NCpv33eVTeOzrat5da6dXGxOzrktp9mbHJ3K45PrRDT7y7CpD03Q829d4StV7TWHz+dhir2WrvZYd9TZ219vJczoodDnxqccu1GmKRKOJthFRdIyIonNkDGdFx9IjOo72EVEBWcVxMvU+lRe3+3luiw+HH27pqOfJc4y0aeQ2d431zY565m+pZ3T3SD7a6ODZUQlkxxt5dkkNhTWHlo0Oj6fNoR7zLSp555c6WbmlmhsuzmTDrlo+WFzEC3efRb3LT0xky9xdXnPqqmxeHn1zJ0s2VDK0VyLPTepKUmz4rJL4ans9f51XiV9W+feVSVzdKzhNnbyyyluSn6m/+ih3w+hsPdN6G+nWyC51gaaoKuVeNyVuN+VeN9U+L3V+H/WyH7cs41cb+nnrhYYiHateT4zBQJzRRJLRTKrZQobZSqQhNGv8PbLKW7v8PP2bjzJXw+v5TB8jXeOD83r+IDnRCXBRpwjmrLOxq8zHPUNjSYzQY/coJB61p2+LSt5ur8zU93Zz15hcMlOsPPfRXlQVeouxDOuTHNTCCU14U1WVDxcX8/R/9xAXZeDFe7qFVYn9gVo/Ez8pZ22Bhxv7RPHsqMSgbfnn8Km8uM3P81t92H1wXTs9/zzHGLAVEK2dT2norz31Vx+F9Q1nMtP7GBmYGtwzmV1lXj751cHfh8dj1As8/k0VEUYd1/eOIjfhfwenLSp5A2zaXccmqZbCMhdx0UZuvTyb2Cht1K1psDPfzl9f3EZBqZMHr+/A7VeET0GWX1aZvqSGf/9UR5dUI++NT6FTSvDOEKo9Ks9v8fHSDj9uGSa01/NYLyMdtSR+TD6loZx96mYf++wq/ZJ1TOttZFhG8K4hHO3jjXZsboVNRR765Vi4pV/0cacBW1zyhoZd2zfvqWNwj1PvHqZpfRwuP1Pe2Mk3a8oZ0T+5YQmpJfTl9Yct3e3kjs8qcPtUZo5N4qqewe2NXeZSeW6Lj9d2+vEqML6dnr/3MtI5Tkvi0DDd9P5emem/NSTtcxIF/nmOkZFZp17N2lSqqlLjVNhZ7mVQW+sJ79uU5B0273SU1aAlbs1xRVkNvHRfN6ZM6MDidRWMe2wDB8pdoQ7rdxd1iuDnv7ahW7qJ2z6p4KEFlXj9gR8YHZZqFXihv4n911i5/ywDXxTIdJ3n5uqlHjZWnvoFxZaq3qfy0nYf7ee6mbjCS4JZYOFwExtGWxiVfey2tYFyvPdbEAQSIvUnTdxNdVqT99KNFSxeX3E6n1LTigiCwG2jcpj9aC9Kqz2MfXQ9G3bVhjqs37WJNbBoYjp/GRzDO2vsjHyrhOK647dEDYS0CIF/9TeRf42VKT0N/HBQps8CN8O/dfN9kUwwzqzDUblL5YlNXnI+dXHvGh9towS+vcTMuivMQU/aqqoya42NwS8VU+OUg/Y8RzttyXvOtwe44/ktvPdN4RnzgdIEx+AeiXwxrS8xUQZunLqJRStLQx3S74x6gWmXJ/Le+BR2lnm54JViVu4P/hlCslXg6T4mCq61MqOvke21KiO+99Bjvpt3JD+uIJ4FhNLWaoWJv3jI/tTFU7/6GZSqZ8VIM8tHWhiRGfwpEpdP4e55lTy4oIqceAOnc0Ym6MlbUVSe/WAPT723m4t6JzHrkV5hc7FJ03K1zYhg3rS+9OwQy30vbeedRQWhDukPRnePZMlfMoiz6hnzTilvrao7LYOWWJPA5B5G9l9j4b3zTOgEmLjCS+YnLiav85Jna/lTKj5FZe5+Pxd846bHfDcf5snc1MHAzqssLBhuZlCQV5AcVlTr5/I3S/hoo4PJF8bx6U2pxFlPX8uOoF6wXPzDEl79ys68n0uYcHEb/nGLqG3+qwkoj1fmwVd38M2acu4YncND17cPq8GBza1wx2cVfLfTyY19onh+dFKzNzluDlVV+blU4ZUdfr4skJFVGJ6h41bRwOhsPZbTGMupkmoVZu/x894eP2UuyIkSuKuzgdtEQ7P2izwVawvc3PhBGW6fyhvXJHNZ18B0xWzKBcugXq5/crbEzzsE7h3Xlr+OaxtWf1Sa1sFs0vPivd2Ii5Z4c0EBDqeff/5ZDJuKzBiLjg8npDB9SS3/+rGW3RU+/jshleQAN7c6HkEQOD9dz/npeorrFWbtlpkl+bnuRy9xJrimrYEb2usZnKY7LZWNTVXuahhlf7BXZk2Fgl6Ay7P03C4aGJGpC8lg8KONdu6fX0lmnIFFE1MRg7g09ESCOvL2d5nKYxMHcMvl2QF/Do3mSKqq8txHeby1sIBrLszg6YmdwyaBHzZ/i4NJcytJjtLz6c2pdEkNzR+9oqosPagwZ4+f+QUyTj9kRAiMzdUzJkfPkFQdJn3oXrsDDoWFhTJf5Mv8VKqgqNA9XuDGDgYmdDAErGVuUymKypPf1/DS8jqGtrcwe3wK8RGB/RIOm5H3/de00xK35rQQBIHJ49tjNAi8+kU+OgGmTewcVmd7V/aIIifeyPj/lnHJ6weZc0MqF3QM7PKxxtAJAsPb6BneRo/Dp7KoUGbu/oYR+Ss7/EQbYViGnmEZOi7I0NM5Vgjq62jzqqwsU1h6UGZxsczWmoYBpRgrMKWHgWvbGegeonYAh7l8Cnd+VsHCbU5u6R/NjFGJGEP4BQdBTt5jzksL5sNrNH8gCAL3X9MORVF5/csCIi0GptzYIawS+DlZZpZMyuDaOaVc814pM8cmMb536DonRhkFrm9v4Pr2Bpx+lR+KZb4+IPN9kcL8AhnwkWiG/sk6eifp6Jmgo2u8jnbRAuYmJi9VValwg1SnsLVa4dcqhXWVCttqVBQVTDoYlKrjub4GRmXrw6bgqKpe5vo5ZWwo8jDtsgQmDY4Ji89U+JSoaTQBIAgCf7uuPfVumVlfF5IQY+TOMbmhDusPMuMMfHNHBjd/WMZfPq+kxCbzwPmxIU8IEQaB0TkGRucYUFWVPLvKzyUKq8pl1pYrfFfsRzk0y6oTIN0qkBkpkGIViDdBpEHArAcB8KsNmy7bfFDlUSlxqhTWqzh8//98CWbok6Q7NFWj59xUXUA3oAiEwhofV71bxoFaP3PGpzCqW/hs16clb02rIwgCj9/UiRq7j+c/ziMjycIVg8PrLDDWouPTm9K4e14F0xbXUFUvM+2yhLCZpxcEgQ4xAh1iGlamADj9KjtrVXbUKOTZFfIdKsX1KoUOhS3ehuZZXgVUQC+AVQ8xJoFEs4AYq2NYhkC7aIFOsTq6xTck/lB/YZ3IzjIvV71bitOrMv/WNAbmhtcGMFry1rRKOp3AjLu6Ul7j4eHXd5CZYuWcTrGhDusPTAaBN65OJjFCz+srbdjcCjPHJoXtctoIg0DvJIHeSeExnRFMvxZ5uOrdUswGgW/uSKdrWvi0Iz6s9b8LmjOW2ajj1Qd6kJZoYdILWyiv8YQ6pP+h0wk8MzKBhy+K48ONDu74rAK/3DqrIVuKdQVuRr9TQrRFx7d3hmfiBi15a1q5+GgjbzzYA4fLzz0vbsMvh1+FoSAIPDIsnidGxDPvt3otgYfQ+kI342aXkhyl5+vb04/ZcztcaMlb0+qJ2VFMm9iZ9btqeWVefqjDOa77hsbxzxHxfLGlYZceRdES+On0W7GHcbPLSI7Ss2hiOplx4T2rHN7RaTQBMmZIOiu2VPPqF/s5/+xEenUMr/nvw+4dGofXr/LMklpirTqmj0wI64t6rcXeCh9XzS4lxiKw4LZ0MmLDPzVqI2/NGeOJW0RSE8w8/PoOPL7wmz457MEL45g0KIY3V9mYubwu1OG0emV2P1fNLkUAvrw1/Efch2nJW3PGiI4wMHViZ/YWO8OuC+GRBEFg6mUJjO0RyZPf1bBwW32oQ2q1XD6FG94vp9Ih89nNabRPCt857qNpyVtzRrng7CQu6ZfM61/mU1rtDnU4x6XTCbw6Lom+WWbu+qyC7aXeUIfU6qiqyv3zq9hY5OGta5M5O9Mc6pCaREvemjPOlBs7IssqM+fuD3UoJ2Qx6nh/QgoxFh03fVCG3RO+Uz0t0Xvr7Hz6q4Mpw+K4/KzwqZxsLC15a844WSlWrhvWhnk/lYTVPpjHkhZj4J3rk9lf7efhhVWhDqfV2FXm5dGvqrmwo5UHL4gLdTjNoiVvzRnpjtE56ASY9VVhqEM5qUFtrTxwfhwfb3Lw7U5nqMNp8WRF5S+fVxBpFnjt6qSwaUnQVFry1pyR0hIsjByUyhc/l+BwBXeT4EB46MI4uqQaeWhBJfVebfrkVMxaY2NTkZcZoxJJjW4ZK0uORUvemjPW+OGZ1LtlvlldHupQTspkEHhhTBLFdTKvaMsHm63WJTN9SS3nd7AwtkfLm+c+kpa8NWesszvGkJtu5atVZaEOpVEG5lq4olsEr66oo8YphzqcFunVX2zUuhSeuqzlFz81K3mLohgpiuICURR/EUXxO1EUkwMdmEYTbIIgcEm/FNbuqMHuDP+pE4CHLozH7lGZvc4e6lBanHqvwturbYw6K4Lu6S1rWeCxNHfCZyKwUZKkp0RRvBl4DLj3iON6gNLS0lOLTqMJsi7pHvzOSr5dvoNzuyWEOpyTigMGJNUwe2klV7dPa/Gjx9Np4bZ67FXVjLs4haIi38l/IASOyJkn3Ryz2RsQi6KolyRJFkXxH4BfkqRnjjg2GPilWQ+s0Wg0miGSJK040R1OOvIWRfFW4P6j/vsWSZLWi6K4DOgODD/q+HpgCFACaJNzGo1G0zh6IJ2GHHpCzR55HyaKYmfga0mS2p/SA2k0Go2m0Zp7wXKKKIo3HrpZjza61mg0mtOquRcs3wXmHJpS0QO3BC4kjUaj0ZzMKU+bHI8oipHAR0ACDaPzGyVJqgjKk4WAKIqxwAdADGACHpAkaXVoowo8URSvBK6WJGl8qGM5VaIo6oDXgJ6AB7hNkqS9oY0q8ERR7A/MkCTp/FDHEkiiKBppGDjmAmZgmiRJC0MaVACJoqgH3gZEGmYzbpEkKe949w9mkc7h5YRDgE9oWE7YmjwALJUkaShwM/BqaMMJPFEUZwLTaT3FXGMAiyRJA4FHgBdCHE/AiaI4GXgHsIQ6liCYAFQdyimXAq+EOJ5AGwUgSdIg4B/Av09056D9UUqS9CLw9KGb2UDLKGNrvP8Abx76twEI3+bQzbcKuCvUQQTQYOA7AEmS1gB9QhtOUOQBY0MdRJDMBR4/4nbLqKxqJEmSvgRuP3Qzh5PkzIB0ZWnmcsIW4yS/XxoN0yf3nf7IAuMEv9+noiieH4KQgiUGOLIxiCyKokGSpFaTBCRJmieKYm6o4wgGSZIcAKIoRgOf0/rO5pEkyS+K4hzgSmDcie4bkOQtSdIsYNZxjl14eDkh0CKXEx7v9xNFsTsNU0IPSpL082kPLEBO9P61MjYg+ojbutaUuM8EoihmAfOB1yRJ+ijU8QSDJEk3iaL4MLBWFMWukiQdcx+8oE2btPblhKIodqXhNG68JEnfhjoeTaOsBC4DEEVxALA1tOFomkIUxVRgMfCwJEnvhjqeQBNF8UZRFKccuukEFE6QN4PZzLa1LyecTsNFoZmiKALUSZI0OrQhaU5iPjBcFMVVgEDr+0y2do8C8cDjoigenvu+VJKk8N4OqfG+AGaLorgcMAL3SZJ03GtpQVsqqNFoNJrgaS1LwDQajeaMoiVvjUajaYG05K3RaDQtkJa8NRqNpgXSkrdGo9G0QFry1mg0mhZIS94ajUbTAv0fzaukxxL+CLoAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "zgrid = f1(xgrid,ygrid)\n", "img2 = plt.contour(xgrid,ygrid,zgrid, 20, cmap = 'terrain')\n", "plt.clabel(img2, inline=True, fontsize=8)\n", "plt.scatter(xvals_f1[0:5],yvals_f1[0:5], c='blue')\n", "plt.scatter(xvals_f1[6:20],yvals_f1[6:20],c='red')\n", "plt.scatter(xvals_f1[21:],yvals_f1[21:],c='green')\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "outputs": [], "source": [ "iter_f2,xvals_f2,yvals_f2 = gibbs_sampler_f1(-3,0,1000)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "zgrid = f1(xgrid,ygrid)\n", "img3 = plt.contour(xgrid,ygrid,zgrid, 20, cmap = 'terrain')\n", "plt.clabel(img3, inline=True, fontsize=8)\n", "plt.scatter(xvals_f2[0:5],yvals_f2[0:5], c='blue')\n", "plt.scatter(xvals_f2[6:20],yvals_f2[6:20],c='red')\n", "plt.scatter(xvals_f2[21:],yvals_f2[21:],c='green')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "nbpages": { "level": 3, "link": "[11.1.2 When will the method break?](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.01-Gibbs-Sampling.html#11.1.2-When-will-the-method-break?)", "section": "11.1.2 When will the method break?" } }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [11.0 Predictive Models Informed by Simulation, Measurement, and Surrogates](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.00-Predictive-Models-Informed-by-Simulation-Measurement-and-Surrogates.html) | [Contents](toc.html) | [11.2 Markov Chain Monte Carlo Examples](https://ndcbe.github.io/cbe67701-uncertainty-quantification/11.02-Contributed-Example.html)

\"Open

\"Download\"" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }