{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "$$ \\LaTeX \\text{ command declarations here.}\n", "\\newcommand{\\va}{\\mathbf{a}}\n", "\\newcommand{\\vb}{\\mathbf{b}}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## AERSP 597 - Machine Learning in Aerosapce Engineering\n", "## Lecture 11, Gaussian Process Regression: Sampling\n", "### Instructor: Daning Huang" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "from __future__ import division\n", "from warnings import filterwarnings\n", "filterwarnings('ignore')\n", "\n", "import random\n", "import numpy as np\n", "import scipy as scp\n", "import scipy.stats\n", "from matplotlib import pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "%matplotlib inline\n", "\n", "# External code\n", "from ML_in_AERSP.MiA_utils.sobol_tmp import i4_sobol_generate" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## TODAY: Gaussian Process Regression - IV\n", "\n", "* Design of computer experiments\n", "* Latin hypercube sampling\n", "* Low-discrepancy sequence\n", "\n", "> Code for Sobol sequence [here](https://github.com/smanist/MiA_utils/blob/master/sobol_tmp.py)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Motivation\n", "\n", "+ Previously, we assume the training dataset is **given** to us, i.e. we do not take control of the data generation. The sample input may not be representative of the parameter space of interest.\n", "+ But in many cases, we want a **surrogate** of a computational model that is expensive to evaluate.\n", " - For example, a CFD or FEM model\n", " - But in this case, we can **specify** a set of inputs that populates the parameter space.\n", "+ The question then becomes how to choose inputs to best represent the parameter space, and build the ML model that approximates the input-output relation of interest.\n", "\n", "> Differences between this lecture and the previous lecture.\n", "> - Previously, the sampling focused on the approximation of a probabilistic distribution.\n", "> - This time, the sampling is about the infilling of a space." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Design of Experiments\n", "\n", "+ Full-factorial\n", " - For $d$ dimensions, divide each into $N$ intervals, and generate a $N^d$ grid.\n", " - Good for low-dimensions\n", "+ Variants\n", " - Central composite design: Factorial + Center + Axial\n", " - Box-Behnken, Plackett-Burman, etc.\n", " - See wikipedia\n", "+ Issues\n", " - Curse of dimensionality\n", " - Insufficient for complex functions" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Latin Hypercube Sampling\n", "\n", "+ For $d$ dimensions, divide each into $N$ intervals, and generate $N$ points.\n", " - No two points share the same interval in the same dimension.\n", " - \"having N rooks on a chess board without threatening each other.\"\n", "+ Typical criteria\n", " - Center the points within the sampling intervals.\n", " - Maximize the minimum distance between points and place the point in a randomized location within its interval.\n", " - Maximize the minimum distance between points and center the point within its interval.\n", " - Minimize the maximum correlation coefficient.\n", "+ Issues\n", " - Sometimes not *orthogonal*, i.e. not sufficiently uniform.\n", " - Need multiple runs to obtain satisfactory sample distribution." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Thinking about Sampling\n", "\n", "What we want:\n", "+ Uniformly cover the parameter space\n", "+ Does not explode with dimensionality\n", "+ Randomness to avoid system bias\n", "+ Easy to generate (hopefully)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Low-Discrepancy Sequence\n", "\n", "It generates **quasirandom** numbers" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Four levels of randomness\n", "\n", "+ Eurandom (e.g. quantum random number)\n", " - Unpredictable\n", " - Uncorrelated (independent)\n", " - Uniform (unbiased)\n", "+ Pseudorandom (e.g. conventional random number)\n", " - Look like random, but *predictable*\n", " - Uncorrelated (independent)\n", " - Uniform (unbiased)\n", "+ **Quasirandom**\n", " - Does not look like random, but effectively random.\n", " - Uniform (unbiased)\n", "\n", "> Nonrandom (e.g. Full Factorial Design)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "0.417022004702574" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.random.seed(1) # Pseudorandom\n", "np.random.rand() # Always 0.417022004702574" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Discrepancy as Uniformity\n", "\n", "+ Definition for an interval\n", " - Difference between the fractions of samples and area.\n", " - A larger area should contain more samples.\n", "$$\n", "D(a,b) = \\left| \\frac{\\mathbf{Count}[a,b)^2}{\\mathbf{Count}[0,1)^2} - \\frac{\\mathbf{Area}[a,b)^2}{\\mathbf{Area}[1,0)^2} \\right|\n", "$$\n", "+ This provides an index for the uniformity of the samples (over a unit space)\n", "$$\n", "D=\\max_{a,b} D(a,b)\n", "$$\n", "+ Simplified index, star discrepancy\n", "$$\n", "D^*=\\max_b D(0,b)\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### One-dimension example\n", "\n", "+ Van der Corput sequence\n", "> 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 0.01, 0.11, 0.21, 0.31, 0.41, 0.51, 0.61, 0.71, 0.81, 0.91, 0.02, 0.12, 0.22, 0.32, ...\n", "+ Works for other number bases, too.\n", "$$\n", "n=\\sum_{i=0}^{L-1} d_k(n)b^k \\quad\\Rightarrow\\quad g_b(n)=\\sum_{i=0}^{L-1} d_k(n)b^{-k-1}\n", "$$\n", "+ Extends to $d$ dimensions\n", " - Halton: The $n$th sample: $(g_{b_1}(n),\\cdots,g_{b_d}(n))$\n", " - Hammersley: The $n$th sample: $(g_{b_1}(n),\\cdots,g_{b_{d-1}}(n), n/N)$\n", " - where $b_1,\\cdots,b_d$ are co-prime numbers" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Comparison of Sampling Methods\n", "\n", "Over a unit square:\n", "+ Full factorial\n", "+ Uniformly random\n", "+ Latin hypercube\n", "+ LDS: Halton\n", "+ LDS: Hammersley\n", "+ LDS: Sobol" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "def URand(N):\n", " return np.random.uniform(size=(N,2))\n", "\n", "def LHS(N):\n", " _t = np.linspace(0,1,N+1)\n", " _x = _t[:-1] + _t[1]/2\n", " _i = np.random.permutation(N)\n", " _j = np.random.permutation(N)\n", " _s = np.zeros((N,2))\n", " _s[:,0] = _x[_i]\n", " _s[:,1] = _x[_j]\n", " return _s\n", "\n", "def _halt(N, b):\n", " _f = 1.0\n", " _r = 0\n", " _N = N\n", " while _N > 0:\n", " _f = _f/b\n", " _r = _r + _f * (_N%b)\n", " _N = np.floor(_N/b)\n", " return _r\n", "\n", "def Halton(N, b=[2,3]):\n", " _b1, _b2 = b\n", " _s = np.zeros((N,2))\n", " for _i in range(N):\n", " _s[_i] = [_halt(_i+1,_b1), _halt(_i+1,_b2)]\n", " return _s\n", "\n", "def Hmsl(N, b=2):\n", " _s = np.zeros((N,2))\n", " for _i in range(N):\n", " _s[_i] = [_halt(_i+1,b), (_i+1.0)/N]\n", " return _s\n", "\n", "def Sobol(N, sk=100):\n", " return i4_sobol_generate(2, N, sk).T\n", "\n", "def Grid(N):\n", " _m = np.int(np.floor(np.sqrt(N)))\n", " _t = np.linspace(0,1,_m+1)\n", " _x = _t[:-1] + _t[1]/2\n", " _X, _Y = np.meshgrid(_x, _x)\n", " return np.hstack([_X.reshape(-1,1), _Y.reshape(-1,1)])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "def discAB(smpl, a, b):\n", " _ax, _ay = a\n", " _bx, _by = b\n", " _mx = (smpl[:,0] < _bx) & (smpl[:,0] >= _ax)\n", " _my = (smpl[:,1] < _by) & (smpl[:,1] >= _ay)\n", " _d1 = np.sum(_mx & _my) / np.float(smpl.shape[0])\n", " _d2 = (_bx-_ax)*(_by-_ay)\n", " return np.abs(_d1-_d2)\n", "\n", "def discS(smpl, N):\n", " _a = np.linspace(0,1,N)\n", " _A, _B = np.meshgrid(_a, _a)\n", " _D = np.zeros_like(_A)\n", " for _i in range(N):\n", " for _j in range(N):\n", " _D[_i, _j] = discAB(smpl,\n", " [0, 0],\n", " [_a[_i], _a[_j]])\n", " return _A, _B, _D\n", "\n", "def runDisc(sfun, Nsmpl, Ndisc, Nrun):\n", " _d = []\n", " for _i in range(Nrun):\n", " _s = sfun(Nsmpl)\n", " _, _, _D = discS(_s, Ndisc)\n", " _d.append(np.max(_D))\n", " print(\"Mean: {0:4.3e}, Std: {1:4.3e}\".format(np.mean(_d), np.std(_d)))\n", " return _s\n", "\n", "def pltDisc(smpl, N):\n", " _A, _B, _D = discS(smpl, N)\n", " _f, _a = plt.subplots(ncols=2, sharey=True, figsize=(16,8))\n", " _a[0].plot(smpl[:,0], smpl[:,1], 'bo', markerfacecolor='none', markersize=1)\n", " _c = _a[1].contourf(_A, _B, _D)\n", " _ = _f.colorbar(_c)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 1.890e-02, Std: 0.000e+00\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = runDisc(Grid, 2500, 21, 1) # Deterministic, so running only once\n", "pltDisc(s, 21)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 1.894e-02, Std: 5.344e-03\n" ] }, { "data": { "image/png": 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6cPLoTImQ9aS1bg9D5TV1CTumulaMRzylME2drChEmMpDs/xMVpSGGFRtw4+jYKOuUyojkmMYX26DeSyMnPpaZj6Ezgufe2Yo9HrqjK1l7vPux9y7oefa92H7vBT36NAc4vidIAiCUJr9T+/LluX3uqd0llDtKTzwuf6JyyJMMzNZURoCZQbbVAYYtbDqMiIp6s5B0LfbUcK7zaEfUjAUej11xu7BvnkWc++GJm8bmn9Dn6X4/prqvSAIJaA0mHMJFSEcylBh4+30HfNUGX5zbOki60rrQESpBWUG21QGWA5hRVF3DmF8KTPeusKhH+YO9diG3oMx9+7YuX1zfWj+DX1G9f0VmuxLqIeY9VolPRFT8ORw5KNfvD35ljBThNJb6ioeQ8XpGJzCdmOR74m8TFaUhhiilIKvZgOMou4ckhClznjrAod+mDsUoa8cw01dBN/Q/Bv6jOr7KzTZlyAI44i3dFr0CdPU2X5dxt5V6HIUpOIlrYfJitLSoWJUYqSEYRyztyEnYtdIzgXOY0hB6NhyF7MpBR/V99ec7ytBqA1fYfrZSzeMZuCdWubd1ORcX2oz5DVNFbabAxGkdXFN6QqkYmMDOHWKjzG0WDTbJZgtNFyPM4bn9nb5unWRo345MEb4FEXZGFMZwzZmXgNhYxv6HeLSnzH3XGz9qOsxxJzvK8ENCY/jRZ8ASe2tE3aJ6etYAXndUzq4DG5eUhGk9TEZUdo2rlyModQGmY2r4d8+ztXwLCUsuYl/wZ/YMaS4j1Lci7Fie+g7ZKi+Lv3pU7e+a1EIvqF6+I5Jzu9TgRfc14VNGRH106bUwwAjTlN4SeX7QuhjMuG7IaF2OUN8XcPYQpMtxbQlJsRO1kzWHf7KJdNyinsxZejoUH3te2JsT9OS653H6uF73dJLJgTBFRFyw8j60vLU5pl2vadkHakwxGREqTGq1tebp/UuRnbO9U6u4i1U5ImwLEeMMZ5L0IZsGeIKxX2UYvullPPatb5je5qGXItyzlAmO5L1o8Jc6TO0cxnGsp+iAJRb+ykPeQQqJiNKjXF1+vSwkd026KYixvq8M0C9XrxaiDHGc3mXfLYMcRU99nGxdee4/dIQrvVNkck6V3t9x2RK36dCXriKqlivTmmxKgicEC+pMMZkRKlhzAisLcQsxCtitxEo116futccAhtjjOfyLvlsGeJ6j3QdV2IcU/QhVTtSCLXQ9i4WwNZW8/vmZn33mcCbmP1KuZHaeO4qP7bvOAp7ybw7fSRsV6BkcqJ0zAjsM+hCjNAcBniIiLbb+OyzwPnzTVhzKihCQ2t7WEBFLu8S1fY4Y3tjcvZa+sB5Poa2d3sbOHmy+f3AAX7tEoQ5YxvttRvWH/3i7Xjztz1euhqzgvO2LZLYSHBlMtl3XenLWBmSqdM+J1XmyZDMqHYbd3aAc+ea11T09Z1P3WvL4psz0yj1tcbKG8rqao9113HcxtGl77qO4dYOCjY2gOPHm5+Nje52U801ycQr+JJrXVoN699qMuI/e+mG0lUQCsHtXqr9YY4wQU9pKCEhcfY5qTwrsV4gytBG30yia2u7fTPmTc65Ho1LxlnXulFfK2WmZm7rCl3a2nVMTDu4hqKvrQEnTuz+3bX+nmqucfY0C8JUoQzh7crAu//pfbh80xWS8qdAbRlyKZGwXSEFIkpXhBih9jnr6+nDZENwadeQEW1/FpJJlKNxyiXjbBembstlE2Jph8n6ZJYewq67r4DiJjrHcBkn6gc3R4820QkAv74aC7+m6guu34dCWqawrpSLl7L2vpT1pPngGrrL5V4S6qF6UVraK2Guv1w2hujhw2WTvrjQrteQSLM/i/Umc4FjnQymTsvl3jFxySztii0sqcrkiouIphTa29vN98CRIzznV/teH9pj1Yf2d4pZNmB/HwrCGByT9dSG9KGQGgnbFVJRvSgd83qlFobm+sePX70GjaOXEGgycJ482QifEyeGRZr9Waw3mQs+dUq5v+dQ3RaLXU+pYSwBUUhmVc4CvUba9wsXzDw2nstUHn6gmb8yrwQhntq9pcL0kLBdISXVi1LfLWCoReqQEVqLYTYk0ihEZc1bw/js70lJV7+PhUn7Zlbt6uuS/c9t7EPg+BAGSP+ArH0/cO0HYd5w8/CkQryl84Fr6K4ghFC9KPXdAobaOEst6HxwNeo3N6/2wqXEp8/bXlxXUgkan/09S7Kx0fSZ+d2FrnEp6d0PufYUhGwOSjxEEeZJrHevpKCa0ho4EaYCNeIlFVJTvSgdo20sxSR54Y6LUV+izTk8xlyzH3cROgZD57Uzq7qQMtFNCCHX5hoizw0RjYJQJxLCK9SECFIhhsmL0jZTS/Iylk2zTUojnkLwdnlxXcqtJVQaCB+DHF7+kuIl5Nqlx30KD7am0AZBEK4m1lsq28LwJmfo7lxC34WyzE6U2owZtNyNtcUCuOce4GMf2w13HTPqUxrxfaLJR0zZwuTCBeDYMeB1r2seIAydX5MnyHUM2vMvtwDjPv+B8uNeo6fWJ/u2IIRQcwgvR2L6M0dffvbSDbj54JeTXkMoh4TtCrmYtSgdM2gpjLWUhv32diNIfaA04sdEU2zGz2PHmm0lrly5OrNxzbiOQXv+5RZgvvPfzgB8zz3NtiCcBS0FpT21IUimXEEQhHgu33QF+5/eV+z6X3u1yuItfe7W/U7C9MrtB7MIUwlpny6zFqVjUBhrxgBcLveGpVIIVTu5zeZm85rTuzUmmmJF/Zkzu6+HDsXVtUZKi4WxLWja88zOAPzoo80DBYCX9436/sj1oICy3pIpV6gBag+fhB8KgiDwRkTpABTGmjH8lstdgQbQhMt1JbfJGYo3JppiRdWhQ8DDD48fZxvsgJ/xzjlEtWv+5azv2BY07XlmPyS55x7g8GH/EOXU1BqqSllvEaFCDsSbIcwB8ZbuJZe3VJgmIkoTYwzAxeLqBD4pPGAuQjBWCNjn28Ztu9xcxq9tsAN+xnuosV9KzHIRVV3zrP2QJGX/h1La+xyKT705P2jporb6CoIgcCKXMBWE1IgozURboKUywF2EYKwQoEhoRMnQ1iZd+GYs7sK09fx54OzZerbXoRIA7XkWWm5ukZhyTXVKfOrtcx9yEIRcHrQI/Mid8GiqXh5JHOWPSdz02Us3jB5b2luaC/GWCqkRUcoQH0MxxKiMFQJ955fyQvkK/rYRHGIIb2w0gvTcuaa8XMZ0rKjqEwCx4iRUWNQcSlpaTJns1O011z73IVUbYuZPrd5rYRwJ4RVqpMZMwuItFabANaUrQMFi0WwZsliUrgkNxlDc3h4/dmurOdZkPXXBCIFQz0jf+bHl9kE9vhsb8dl819YaD2mOrMCU7e9ru8+c8ymXAurxpyovZZtdMNmpjx0LL4OqDS7zp6/fU31vCNNAEhQ1iOcpD21B6ipQ57J3q6vHPfXDKLkfpskkRGmsQd2mtMgtbexyg3p8Y41gMz+A8HJ85hhl+/vaHjvnUgqLvvaH3qdU/VlaTJ05Axw5spul2uDTPqo2uMwf6vtYEASBkho9pDZfe7UqXQWBMUqpu5RSF5RSF5VS7+r4XCmlfm71+aeUUt9lffagUupLSqk/ap3zS0qpP1j9fFYp9Qer929WSv2/1mf3u9RxEuG71OFfpcPyfEIaNzevTqA0Nfr2Py21Do5ifviUkSO8kfNay772h47DVMJF+7JTl2ify/yZSr8LfkgIr1ADQ4L05oNfdlpbOhdkbWl9KKWuBfBeAG8GcAnAo0qpHa31p63D3gLgttXPnQDet3oFgF8EsAXgA3a5Wuu/Z13jXwF4zvr4Ca31d/rUcxKeUmqPRU2eypi2l/YIu9JuYwqPi09fhMyPdvk+ZbiOsX2NkmM7Nj6+daP27lJ+X3C8h3J7cF37oLRnWaiXnCG8IqDnB5WHlEMIr3hLhR7eCOCi1vpJrfUVAA8BuLt1zN0APqAbHgHwcqXUKwFAa/3bAL7SV7hSSgH47wB8MKaSkxCl1NRkPMUYxSXC6SiM+BQPDVKHPLbLTzHH7GuUDJUcG5+phM8CV7cllUjlKH4NEpYrjCHeEoErroK0ptDeHMKUy9pSYQ9rSqmPWz/vsD67EcDnrL8vrd6D5zF9vAnAn2qt/9h67xal1CeVUr+llHqTSyGTCN91pWTYZ6prx4SSlginowh9TZGxNXVfxJQ/NHfGtrfJObZ9+9e28e2L0uHaQ7TbkiL0f7EAjh5tkhpRlkuFhOUKOZBtTQRqUgjNuWwPI4TzZy9+I375q981fqA3Dy+01nf0fNj1pKKdrtnlmD7uwV4v6TMAbtJaP6uUej2AX1VKvU5r/dWhQmblKS35RL/r2qW9hiU8TVxDo7v6gtI7FdPXQ/PW/sy+Romxdb2/fOtW6r51GX+7LYsFsFwCx4/Te/HPnWuSGnG7bwAeHmtBEIaRLMZ7qcnzGcIcvKUSgeHFJQCvsv4+COALAcdchVLqZQD+WwC/ZN7TWl/WWj+7+v0TAJ4A8JqxsmblKbWf6Of2vnR5E7h6DVNCVd8c41c64ZVhyBPFyUvlUpcS++qG4jv+29vAyZPNQxfKOWm3X4SfUCuS8EjgQqggdU14JN7Sq5GkR8V5FMBtSqlbAHwewNsAvL11zA6ATaXUQ2gSHD2ntX7GoezvBfC41vqlAVZK3QDgK1rrF5VS34EmedKTYwXNSpTaguj06byCY22tMSq3t4H1dWBnp3kFeAiK1FCLyByCkVIMxbR/SMhzeijhUpeQcSvVRt/x9zneZz5QtD/FQxzOYdXCNJEQXiGWqXtIbb72aoXrnnKNvgzDNROvUBat9QtKqU0AHwFwLYAHtdaPKaXuXX1+P4BzAI4AuAjgeQAvWTNKqQ8COIxm3eolAMe11r+w+vhtuDrB0XcD+BdKqRcAvAjgXq11b6Ikw6xEqc36OnD+/K4wzIExyM+f57s+zIUQY5RaRIYKxnbdXdsSa4Bz8bqWpob1pK5rY9v4iMfc8yHF9WROC1NFvDrThEKQ1uYtNWG8qcWpC3JflUVrfQ6N8LTfu9/6XQN4Z8+59wyU+6Md730YwId96zg5UepqxO7sNMLw8OFdD2Zqw9cY4uvru9etkRBjlDoEM9R7ZOq+XDb7uy6XTcglcHV5djuBOAOcU5htSXzHrYTwKe2FTyHEU8y/sTLtdgDiVRXqCuE19RQjehrMyUPahb3GlFqg+nhLRZgKQ0xOlLoalLZBlcvwtQ3ymj0LIQYulzBTU+flshnz48f7Ey9RZrPl0v7a2Nhoxmq5bEROqfXf1AzNBzui4uxZGg9+ivk3ViblQx1BMOQO4RVxWj/UgtTVW8qVdhIkDl7UUGp60CWMMzlR6mpQ2gaVeLH8qFlgmbovFo2ndMiYb7ez1jZzIcQDuLbWjNN99zWvOZJklZ7fGxu7If7b2+7Cj9v8LL1FkSAYKNa8iYenTkp6SC/fdAUAWITxDkHhRRVvqUDB5ERpiEFJaYRSht4tFsDWVvP75qaEvVESO+aS5MWPmL02qR8acRZyQDOfzp7dG/raB+cHavJQR+iCwrNRKuFRaa+peIX84BKya8SpgbNITRnmayPCVOhiVvuU5oByT0WzxcTJk2X2VhX6KbnnbQyUe6/6ELPXJvU+mFz3yrWxs3W77pPqQqnxF4QpceX2g1WKwzllSU0tSGPKv3zTlT0/XPnaq5XXfqeSGVuIZXKeUkpK76lo1tNRlRdKaMZanzJrI9WenKlJ7SXsazOnvTZLh+e6IhlzBYE3uT2nsUKYs2igWqfJxTvqA5dMvbkRb6nQRkTpAKX3VFxbA06coCkrhnbiFQrDtpQ4oiLVnpypSR3u2dfmWoQgJ6iSPNn3AudwX0FIReq9FG2xmMrILiFIu7xkKT17IcK0RhHaxVyFKQUS1j4dRJQOIAZcQzvxCkW/lBJHOaFsI5XITi0OXdvM0Yucok4xZVIleWrfC/JwQKgdzh6/FAKVu4eUUhi6CFMuQpQ6C+8chSmVt1SE6TQQUTpAKe8ON4O9nXiFol9KiqNc/UvZxlQim7ovXNvM4aFBG47hsjU8ABIEH+ZkOFIIVO6CNAVdYi+3EH3ztz0OAPjoF2/Pet05ClMqRJjWzyRFaQ1rHofK52iwD4kNbiIacNsHEtg9hmMbbFIJCw5rTGPKoSRFH8eWWcMDIEEQxmkbyy4itaQg9Ulw08Wbv+3xKEFX0htqBGkpRJgKc6X67Ltd2SQpMqOGlOGT2XKo/Bqyg9rUlom2q3+5t4E6A62BYq4Nzfu+fvVtT47xSdHHVGXmzpo7dL2+zySzr5CDGj1/XZgMvn2ZfDl6SLvWk3aJRyPqSos7X978bY971zmVeOaclZcaSu+mJE6qm+o9pV2enlIhbz5ep6Hyue6b2kdt4YFd/VtbG6igmGtD856qX9fXm3XN6+t7388xv0OuQV2v3NETQ9fr+4xjhIfAi5KhdamTHcVC2TechHusxzQXfWK0lvoLu0gYb71UL0q7jN5SIW8+BniukLochuIUwwO5h/Nyom/eU/bhBz/YJNp6wxv2ZqROOb9N/ZfLZq9gn2tQ1KtU1tzFomnz8ePd1+urC4d13MK04SS2uELRR7Ghu204CzvO3tw5hfFSbw8jwrROqg/ftQWRS+hYyhCzVCGWMfiEZ845/K4dHmr/napfptLfffN+KOSWqu1j8zvmOraw9A1xpgiLtvsv53fL9nYjwg8c8LueXcd2v3MPjxeEKZBSkPqG7rq+XwqfUN2x47hkA+YApwdHEspbH9V7Sg1bW40htVwO7+05txAzHy9mTX1D7Xlpe3ns11T9UlN/hzDkOfNt++ZmI5LaZY3N75g+tusfsp1L7Jh29R+HcHyXPm0fM9fweGEX8VqkhaOHtA0Xjyk3gTzEnLylHHnu1v3A+dK1mA+TEaWucDOOOIW1ceubIagFXVtE2H+n6pea+juEIWHm2/ZQkbex0TyoWi6bey3E81eKrutzCMdvj13Xd1j7mNJ9KdQPJw8MN2oQpIaSwrQmMTpHqEN4AQnjrY3JiNI+T4oNJwFoMEbmcrlb/1J1q8lwzCnoUvULRbmLRRMlADT3AJd5PUauuba21txX993XvKa+ZurvGA4PMtpj1yWUa/ouEeYD92RHIeQQpLGhuxyIrRsXL6+QD3kQlp/JiFIXI4hjuKQxLpdL2rr5GMccxfoYYvQ2mPV/QB7RxRnfPVEp531MUiQfOM57DkJZEOZITR5Sm5wCL5dQvvngl/HZSzdkudaUSeEtFeqh+kRHPnDc/9MYmZubtHXzSSySI6lPzeTok9BrbGw0WVL7MqWWJPdc8t0TlTL5TkxSpNrhmOBN4AXHPTdrp1ZBakgtFkP2HHUpswRz2rM0BSEiV75zyjAZT6lNnwekz8uQwmPiWxa1B8THe9GX1Mf8XZMHNQU5POyh11hbG07sVZLckQm+HjtKD19MUiRBEAQfcgrSlKG7qTymnMOIBUHoZ5Ki1NcYpjSeqfcnNGWmFLl9SX04hjuXIEd44hRDIHO3yffBDuWDIA5htTWG4QvCGOKx2EvtHtI2lMI0hxgdqq+E8NJQOoRXvnPKMUlRysVjEootBoG8wjBH1tnayCE4OIgaampoU4yQ4yYC5SGSwBFumS9rTnY0NUFqiBWmc/CMytYwcUgW3jqY5JrS9hqnsbVtlGuiKMqy175SrIMNXdvn24+xyHrWNLj2q33c1Mairz0x60op16RSEPpdMbWxFoQpwkWQpsq6Gxr+OwdBKuRDvKRlcRKlSqm7lFIXlFIXlVLv6vj8eqXU/66U+o9KqceUUqx8a9yMRx+RTCFyqdrfVw6VUcttnErh058ux7r2q30cx7Fot9Wnn/ra4yvk7GumSpxG9RDJFdexFvEq5EYMxIZSgpRrgp0cYvQH/9LvD16/jy7RLvgjXs15Mhq+q5S6FsB7AbwZwCUAjyqldrTWn7YOeyeAT2ut/45S6gYAF5RS/1ZrzeIbjVsYKvcEMGPlrK83xqkJW6RqD7dxyokdCurTny7HuvZr13GxY0EZ4tpuq08/Uc2t9jVT3L9cvx986zU09txCn4U0iGEZDxcPqQ+2oPvlr36X83kuYbw5PKOm/j/4l37fq/4Cb8ZCeOUhWHlc1pS+EcBFrfWTAKCUegjA3QBsUaoBXKeUUgC+CcBXALxAXNdguK1tK50AJmYP05/4iUaQ2sYpVXtSZEeuxfhtZz22X4dwOdZ1/rePo7hnKAVWu62u/TQ0B3zrxznpVerM3771GupbWf8qCONwE6SpQnfb5XUJ05xi1IWce60a5rautHTCIyE/LqL0RgCfs/6+BODO1jFbAHYAfAHAdQD+ntb6L0hqmJFcAqa0SI71xLWN09TtadfBZ5xqMX7bW4qEZE7mCKWIa7fVte1Dc8C3fpyTXpl2nj8PnD3r/h3mej/51muob+ccFSG4MXevRWlBShW6G+JttAVfaTEq3lJ/OCcT8014xDEx2JRxWVPaNSK69ff3A/gDAN8O4DsBbCml/tJVBSn1DqXUx5VSH//yl9PE3cesezJG3dGjfklhUpLiOj5r4bqO7Vq7NlbPmHa06+Cz3jHVuj9qKJNtcYJDu4bmAIf6UbGxARw5Apw757cWONX64aG+nVK/TwH7f/OVv/h/S1cnOTUIXgqj/rqn2qaa0IWITlq4ClJAlhRwx0WUXgLwKuvvg2g8ojYbAH5FN1wE8CcAropr0Fo/oLW+Q2t9xw03pNnLKcbA8jHqciWC6bpOrFD1MQhdjx3rj5j+atfBR2hO1fiVpDPuTHUOAHvnwdpa4yH1fQjjej/JnJsu9v/mfdd8A0mZYvzxIFSYdoWJhuzBGSL47LDYj37x9ixhsn31LC1Y9z+9b89PDq57Su/58YFakFJ+j4SUJQ928uISvvsogNuUUrcA+DyAtwF4e+uYpwF8D4DfUUp9K4BDAJ6krKgrMWFhxqgzoWypruND13U4hqSO9UfKMM45wnEO5MIONwXqWDOcivY8CLk3KMKgBUGg5/onLpN4da97SicLQ/zoF2+/KsT2l7/6XcFhr30CNEc4r6mvy9rSvnqGCPcucq4dpRJeqTyktphMucaU6n4TwhkVpVrrF5RSmwA+AuBaAA9qrR9TSt27+vx+AD8D4BeVUn+IJtz3J7XWRZ6nxwqW0KQwqei6Tu71WC5rzrrq2ZUkKQdUa4O7xM/6OrCz4152qnXKU1iTF9o3tjgCmt+XS+DAgd2yKPq9hiRZOeeBucab3gS89a3AmTPAoUPprysIc6YGYdoFpSDtOia1OPVJekRJajGawvOXM1w3VKC6eklFmJbFxVMKrfU5AOda791v/f4FAN9HWzWhj9yewlAPSSnPCtV1u8TP+fNNeLdr2an6YAre4tC+6RJiy2X4djHU9cuJ7zyIEdrmWm996+498PDDu2X6PrARBMGNUsJ0/9P7rkp49NlLN1yVhbfLW+qLb4huanE6JKqpw4lTCtHU4acl14+2hWafSPUN2xVhWg4nUSrMm1BvTO6tLWKv61LO+jpw+LB72VPwaKYitG+6tq5ZLHY9pTFlU9SPM1tbwMmTjYg/ccL//MUCeN3rgCtXGk8psDfrr88DG2G61LCelHOG0JTk9pi6ECPycmbpHcM3dDeVGM21DpLb/ZMrzFdIh0uiI4ExOZKPhCaKCT0vNokUVWIbuxzz+6FDjUjZ3nbr89C6cMrunKouLn3jeu12Wa79PlT+lBMkhbK93fTX933fbuiuSZR05kwdma4FoUYoBYCPaEkdTkrldcyVECmWVEmLQhMThcJNkLa5cvvBl35C4N6+qSKe0spxDTGsYX2cgbuHKkdYZ67QUZc9YEuGsaa+dg0hupRsbu71KPvSdW/anus59KGQHgmd64YyrDDGY0oVwptCRKb2nIYmOEoh7ktkhp2TWJMw3vyIKCWgpOBzFXApjO9U7aZaL1lzkqFS2Z275sn6ehOaub6eti5dpO4H7g9AqKFIBGciBWp4wCUIU4NamAIoEs6b2qtJsc6VghQe0VLMSZAa5tjmkkj4LgG59iztwjXEsG8vwpjQzL52U4d7hpaXalxyhHXmCh112QN2Z6dZK7izk7YuLvUzUM0x6n6ew16eJb/vBP7UsJ60dqgN5TGh47pnqavQzBVmWzqcl0qQ5g7N7ULEmZAD8ZQSULO3JcaD2tduaq8sZZbWEGoKfTaE1rnEFkQhdeUadltTREIoNX/fCYLQTa4ESLmFImU4b+q9SduUFKEGEaNCTkSUElDD9hx9xnKMgdnXbmqjlSpLayhcBdAQlHVOPb9NXdt7jQ7BVRhtbDTtWC4bMUmxl23XWJYUqjV83wmCCzVn4E2x3i21MC3pucwdzhvrJc0hSGud+8J0kfBdQlxD93xD/ChCAvvCd1OEiVKXWToLal/fuVAqnDOmzrkxdQXcw0KH5sRQn/d9RhkOfOBAs+2Ka1j7WDhs11jWEkI7h3BmQShFClHRJ4ZiQ3hLh9KmqgO1l5Q6TPf6Jy73/ggCNybtKc3tTXD1Tvl6sSi8XuLdCKev71zmF8XYhczjmsbb1NXeazSkzeac5bIRhcDVfdA3HpSeZd+w9jGvb2hINYewX3sP07NneYQfC+mQ9aT5qcFjykGQGkI9pjnaQCVGRXAKtTJpUZo77NI1pNA39LBUqKIxatfXmyQ3XNa0ccHF4KYYuylu+wNcXV9bfJ0+7X/vmn46frzfS9w3HpT3mG9Ye8gDBJdzKL//QufWxkZzf5w715xfy4MSQRBo4CRIDam3jfEN3aUQoyJEhSkwaVGaW8y5Gpe+Rmgpr5ctus6da96bkiiKxcXgjhk7059vehNw5Mj4lizUImRrq/l9czPNeA7VN+Tetc/pq2/feOS4x1yuQXkPUX7/haz7BZpjzp7dbZMgCPTk2k9x/9P7cPmmK3ve69uztAZcvaYpExzFCFLOQnTf45de+r1UBIV9T3DuK2GXSYtSX0PTxSCck/AyRuT6OnD4cJm9UAG+fe5jcMdkmD1ypBG+hw8P9yu1CDEhsAcOpBFsQ/WtKfyYEq4JqswYLZd76+cyr+c6lkId1JzsyIZamObKxlsa6gRIrl7SUDHKea7aQrT9fm5hmuMhjUDPpEWpLy4GYapMmByFl21MuhiVqbZgoTLUXb1/PmPhanCHzJuxhwJD4a8+dNXDZJG160ENtVjhnCV5aKztz7hmFe5a9wv09znH7zNBmDq5PKZturylFGUCIC+3ixBhGuMlDRGkXMVonxDtOi6HMO2b/6EPn1zbJ9AgotTCxSDsOobCGE5tUPcZib7vD+EjMobKb/cFlaHu6v1LMRYh82bsoQBVPbvKWVsDTpwIL5MKVzG3tsZX0AHD4u3o0b3h8amjDGIEY/sez7VXscAfKoNTPBxxpBamXSG81NiCry3+UonUvnWmPqHIY15SXzFauxDtOi+lMB2b977CdGqCVCl1F4CfBXAtgPdrrd/T+lytPj8C4HkAP6q1/v3VZw8C+AEAX9Ja/xXrnBMA/nsA5sb8aa31udVnPwXgxwC8COB/0Fp/ZKyOIkotXERVaCZMmz7PlE8ZvvhmHU1tVPqsJ6TyqLl6/1KMBcW8sVksmrYcPx5eTzuRVWg9UjM0T9qfcQwTHevj7e1GkB45kqb/u/ovR4gw5wcEgiC4USKEd8wDmVqkunhNQ7yktQtSKoGWSpi6PohxFaYTFKTXAngvgDcDuATgUaXUjtb609ZhbwFw2+rnTgDvW70CwC8C2ALwgY7i/7XW+n9pXe+1AN4G4HUAvh3Ax5RSr9FavzhUTxGlBPgaw32eqZQZMn2zjg4ZlRSheSXWE7p6/1KKm3bfxXjWT55sssyGjkGKBw/UYZtD86SGbVHG+tglOVMM5kHMctn0hfEot9+jhuMDAkGYC8bozul1pgjhDRF7KUQq9TrTUoKUq7CiFKYp5jjXfovkjQAuaq2fBACl1EMA7gZgi9K7AXxAa60BPKKUerlS6pVa62e01r+tlLrZ43p3A3hIa30ZwJ8opS6u6vC7QyeJKC1AKi/CkAHsm3V0yKiUfVPDoRKCFHMoxTykFrpD8yT3tighjPVx6vtgba0JVb/vvt2Q9a73BEGYHhShvF3e0hQhvBSZbNvlxAhU3wzCXaG7Ikb7MXWMEaehc3sqyc08uRHA56y/L2HXCzp0zI0Anhkpe1Mp9SMAPg7gn2qt/2x13iMdZQ0iotSitFclllwhc7lD83KMS66xp+o7CjGTQhCNtS/3PVY6jJTDwxc7Ydbp02kTKtX+HSoIU6NU8iNXqMRoX9mpEjBRQyGSahCjAM3681RzOkcffvWFr0+0bdLDa0qpj1tvPKC1fmD1e1ccfvupicsxbd4H4GdWx/0MgH8F4B8EloVrxg6YKotFY6AtFrvvGa/K9rbfeb64XCcEYwCnNgbt67j2R0y/xfaXy7VTjUmNxIzV2Bw0/by1FX8fUdRnDpg+2NnZneOp+kXuIyGWGXowkpOiT7s8g76CLaUgta+R+jqxXtK5CNIrtx9kI0j7yii1pyoRC631HdbPA9ZnlwC8yvr7IIAvtM53OWYPWus/1Vq/qLX+CwD/Bk2IblBZwAw9peZJ/nK5m4nVeDJcvAcU4YB916nByzC2XUtfG2K2joj16riMWS6Pmmt/UeJ6jaF7g4q+/S6F9KReJz52DUHgyFxEMCePaQ4x2nfNGM9pV71d9yXtYw6ClFLocZnDFfIogNuUUrcA+DyaJERvbx2zgyYU9yE0ob3Paa0HQ3fNmtPVn38XwB9ZZf07pdQZNImObgPwe2OVnJ0oNaLg+PEmSYxtPLmE2lEYXX3XMXU7fx44e7a8SOlibLuWPgEYs3VEV3/5tMFlzHKFWbr2ly8+W+z0MXRvUNG336WQntTrxMeuIQiucBJQUyK0X32y8I6FzJYQpF3X9xWnPvV29ZJOXZBSex1D5u7XXq2C9oWdGlrrF5RSmwA+gmZLmAe11o8ppe5dfX4/gHNotoO5iGZLmJcsNKXUBwEcBrCmlLoE4LjW+hcAnFJKfSea0NzPAvhHq/IeU0p9CE0ipRcAvHMs8y4wQ1Fqr6/a2fE/P6XRtbHRCNJz5xojMdV1YgzQse1a+jJ7Um8d4dMGToay6z6Pvtj9sbERtn9n6kywNpzGJBecIyFKeDg594dQnhzCdC5eUhvKfvVJeFRajLahWG8a4yUVQZoe8yDFV5heuf0g674NZbV/6LnWe/dbv2sA7+w5956e93944HrvBvBunzrOak2pbQTZ66tyXn9oHd3aWuMhTeWlMmxshF9jbC2ayex58iRw9Oj4msHQtW3r683ejmb/x1qhWttnj2l7XZ/rNWT9pR++a2/b40KxPp2KEmMv608FoQy5xTg3QWpwXW9K7SWduiBNge+DFBfPvkRj8GNWotQ2gmKEGcX1DW3DlMI4dBG/KQ3QjY1GMBqPbwp2dpryfbzduUVAzuvZY+o6tzmJohrxFVXtcckpyjiOdYnvYKEu5ujJzIVv3/p4moyIy5FkiIKQeoZ6SecgSEuH7bqGmgv8mFX4bjs8MSR8MCbkrCtELsU+iqX3ZjQeX9NPPly4ABw7Bpw5Axw61H9cSLhh7n7xvd7Q3PKZd65zu/Q8qR3fOZgqdNsFjmM9xxBugQ8ieGlCeftCeGsQo2261pv6JDcaE+5zmHNcBamsLa2DWYlSCiMoxrjrun4Kw5SizNj1XqF9fexY4wEFgIcfpi2/b71rKnzHYWhupRAV7frJGr+85BRlkhVXSEnK9WOS9CgtXPu3T/i5rmGNIURQ5xKknL2kVN8DofMxxEP63K37O8dmqutKuTMrUUpB10b0Ywb8kLGfwjAtLb5jOHNm7yslZr3rffc1r75b04Rcz6fvhoRDClHRrl+qMZ+q2OXofeyjby5OdWwEYYg5eKx8iBWmPgmPXMoK+TyHWB26/hAiSMeJfTAiIbvTQESpJ8a4O33a3SDtMl45GYNddfERQZRtOXRo2EMaS8zWNKkZErE5vGqpvGkc+pYSM99Nkq2avY8px4YqHF0QuHrzpoRLH/tsDRNCTDbbrnNzCdUhL6kI0n6o7mnXOSkhvPwRURqIjwGfay1pKF118RFBOdpCZcRSb03TRa0GdyrhO7XQ0VL3bop5lXJscoejC4IL4iXtp6T4jxGkY2Xm8uK2EUF6NdTzi+IhSV8Ir5AfEaWB+BjwudaSutI2bmPrkqMtQ/twUkApyMTg3svUEtqUundTzKvU+y73reGe2oMKIT3iLeVNTAhvCkHaVX6MOA1NbhTLFARpqvs2dciurCvNz6y2hOG0LUKpPSEXi2b/0JB9LPvwPT9kHOztI7a2mvpvbYXVNwSfOs9hqwvqe4nTvTlGjnu3qz9qm1f2nsXtbW9kT1yhBOINGWesjyhF2P6n9yUXpKWuN/WtX1wE6XO37mcnSGXtKW9mJUpr36ydwnDf3m6y2x45Us64DRmH0kasT51L1zUH1PdS7fdmH6H3bFd/cJhXvu2pTUgLvBFRmYcc/ZxTjHZd20eg5vaS7nv8EmtB6kLKqIYUwlKiMHgwq/Dd2kPGKML32nu1liB2HDY3Gw9MznF0rTPH9aQ1rEWkLo/LOITes1y/q3zbM7XQbUEQ+nEN4S0pSNuEhvamSm5Ugxgd85JOSeBduf0g8MXStZgPsxKltRlI1Gs/AR590K6Dj4AoJTZc+43jelJTp/PngbNnafqNeh75ljc2D0qPg2+G3nZ7ONynXXAVy8J8CF1bKl5WHnASpDZ94jRXcqMaxCiQdk9iFyi8pJKFly+zCt+tjXYIH3X4Hpd1fD6hm1NaT5q6/0356+tNuPa5c9MJjx2bM6XDRk39dnbc7tlawpc5hBALglCWIYN+SMRxFaQ2dmhvjrDdmkJ1XdeRpkLWg06fyYpSLoIrBgrDeqgfUhrCHBIDUc2BVOtJUwsRWxidPctzbV/oGI3NmVTiqau+fUmJjh/fzTw7RgkR7dL3U/geFaaHrzdKvKT+UPZZSIKh657Se35qwLfPahGjwDwE6ZTCjmtlsuG7pcP3gL0hfDs7/iGnFCF8Q/1Qao/CNj7t9FlPSjUHQvtpLMQ0dShke/0wx3DQ0DEq1Z6u+vbt83vgQPP+gQO09wAVLn3P4XtUELqQLWLqIESMur5fwnNGIZBrEqPANAWphPDyZLKilMPaJ3st37lzzXsuhh3lusmhfki9R2HfdW182+pTZ6o5ENpPYwZ9aiFiyjfertJJf7rgcJ/aLBa7oeGbm1f3V1d9+9rArW1tXOrHvQ2CMIZ4SdNw3VO6VyyYhEdUgtT1+JLhnS7zrDYxCpQVpLHjadYH1xA2LjRMVpRy8AwZQ259HTh82N2wo/ROlOoHDomBqNoe+pCAi0Ff2tt14QJw7Bhw5gxw6NDu+yWSVrkkSDp5svm9y8PZNaf65lnO+ZeqLzl8jwpCH1P1lu57/FLxhDKxpBakLmVQi9SYOtYoSEtBPW4+D0ieu3W/PMgqyGRFKQdsg27MsLONSi5iJgc1tDVHiGlK4UHVx6HXP3ZsN1Lg4Yd33y8hlseuubHRrAM1v5feWmaxAI4e3Rtp0VWnkL4s/bBCEIRuahekXBjy5lIyJmKmLEipHwpJMqN5MwlRGmI4ljY227QNxNRGIpf21+CJySGcU67v6+rjkPEPvf6ZM83rP//ne8OISzyQGLvm2hpw4sTu36dP+7eZ8t7a3m4E6ZEju3XuGoeQvqzhgZBQByU9e0PeUvF4CMa7GSt2Qr2kNQvS3Pd0KkEq4bv1MAlRyt1LMGSk+u5nSAUXLwkXcTwEpXDua2/u9X0h4x96/UOHGg9pW+CVeCDhe027za5zleLe6vpeMNdsj0PoPVTDAyFBEMoxpfDoXF5Tm5oFaW7EQyoAExGl3L0EQ0ZqKXEY234qMclFHPsS2v6+9roIBEoRMTT+fW2LvX6Nnjm7za5eU4pszUP3RXscar2HBIGKKYknIR0phKl44+MRQSoYJiFKQ8jpJRgyUksZ6rHtL73dSmlC28+lvUPjn0rkUNxzPg8DqL3wrmNnQpO7rj1UJ7vffeZJ6jlVQzSDIAiCCyHCVLYOSYcIUsFmEqKUu6dgaGuOWkPoSm+3UprQ9tfQ3pC25RIuPve6z7Eu9fcZu75ru+4b7LMOOPWcSvX9KmJXSIl4sIQ+qNaZTpkc60ml/4U2kxClXLxPY/gad5yNthrEVUpqan/KvWANVMJlrK6pPIjUwitk79Kxfqeso8+cCFlX6wL3h4lCXUgIr+BLiXWmgiD0MwlR6mJEcxB4vuK5BqMttF85jMdcyDGPqB4MjdXVRzD7HEv9YCvF3qWlEl3Z4cjL5e4+rrFzqZaHiYIbU9hbcyoYcS7e4nFihOlQ/0qSo2FyPAzY//Q+XL7pSvLrCHRcU7oCuTBG2PZ2uToYg9RVhG1sAKdO9RttJhz4woXmdbGgq6srof1qztva6q+7ad9Qu1yOmTtj84gC37ndR466dmHXf2xOlZpzvn08VE/ffrZFLNX4UM0ZQTCICONDTWLguqd077rROa4ndX24FBqZIN5poY9JeEqHKLXlCgWu4Xznzzd7GQL5Paqh3g5z/HIZl5m4Bm9yaXKHGsd4wTmERY/NqXZCIq4ef58MvmO017sKAlfmLkwlhDkcCedNj/SvMMRkRakxjCnDzbhhDMX1deDw4TKCO1RE2MmfDhwIz0wsIYD8qP1Bwdicsj/P0dbFookoAIDNTfdsvpT3hut9LmH5gsCH527dP3uR7osI03RIvwpjTDZ8N0W4WR8h4XwUIYDGUDx0KF8YHHXo4lAIn0t4H7cQQAknHg4NLdU/Ptcdm1P25znCjbe3mwdrJ09eHSY/FD5f4t7gsExCEAQhBhOyOxS6K2LfDxGkgguT9ZTmDDcL8ZbU6k2qtd65kP4Z3gKpVP+0r0vl0csRbryx0UR8mN/bn3W9H0to/wzVR7yogpAWCd2lI2Ytac1JjlIkKxNBKrgyWVGaw1i016sul83PYuFmcKXaZiG14edqBLfrMReDVMKJd+kSoKX6p31dF3HMZc6urQEnTvR/Ztffp85Dx4Y8PBi7tjywmT6SgZcfJUJ4a0pyJAgCHyYrSnNgG1kHDjS/HzjgZnDZxuTp01cba6EGcWrDz1Xst+tRu0HqOh4cEvVwoUuAxvZP6H3Rvm6fOLbLr3HO+tR56NiQhwdj15YHNoIgCPOitJd0/9P7il5f8ENEaQRdRlaIwdVVTqhBnNrwcxUF7XpQ1quEB8vOdHz27LS9vbHY40O9fzCVUOwTx+3MuvZrSULvuyGGjg15eDB2bXlgIwjpGArdjfGWXv/EZQkLbjHV9aQS5SCURkRpBG0jK9Tg6jLWQg3iFIZfiPeoXQ/KepXwYG1s7G69s73td10uYaC5oPLWdZFaKLbXonMRUaH33RDU7ePUX4IglOfyTVdm56mqeT2pDy4PKkp7SYX6EFE6QipBMVYuhYFHVXdu3qMSdVhbazykpj/HqD0MtI3PXKLy1nXhcl+U3ieVal2n/XmN+ywL80TWlQqCUDOylVI5JrsljCvtrSLaf6fa4iDH1glj13DdJsPe9oLDFiyl6uBzXbvvc2wbMkbsViw+89Wnn6jHcrEAjh5Nd2/Z/djXp6avjh4d7++xfjWf7+yUv+8EQeCJi9dKQnAFQeDO7D2lYwl5Unnl1tebcFDjAUnBWN1ThASmppZQWN8w0NTtit0ShYOH3IXt7SbE+siRNHW1+xHovn/aod7GW97V12P9yrHfa7kHhXLU7i2tvf5COqbqQZP5LnBg9qJ0LCFPKkG2s9MYrYcPpxN8dt27DMmUwjiF4Wq8YOfONX9zEcoGO9RyZ8ev7alDfEO2RLHh9GDC0DXHUu9P7JLcrB3qPdTXY/3Ksd+nEI4uCFPBxwMqYYmCIHBm9uG77fDBFOGE7RC/xaLZ0/T48XwekK4wQSOMd3byXI+izJResDHGQmBNm48d82/7WIhvbPhte16HhBTH1oGarjkWc/+6tM8uf+ha9me5wrdzjU9fe7jND6Esc0n4IgiCINAwe09parq8CtvbwMmTjWGXK/xtyMOTwlhOUXbbCxbijR06Z6w8130Y19cbD7hP28c8YtTeqRAPHDcPGfUcS9W+UG+nr+c91/i4bKfDYX4IQihTDmX09Zb2eWJdM6u6ZuD92qsVrntKO9erFFP1NqcIWb/uKV1lBt4pjm8tzF6Upl4flVsM9tFlSKYMDWyXTdHP7TJDjOChc1xFp8s+jNT9ymFtIYc62FDP35ztc7kf7L1xXULWS49P6esLwtwITV6UUlhdvulKknJr4crtB2cRJeC6f22twlQow+xFaeqn+7nFIFdS9HOIETx0jo/ozA2HZElTn7ch7Qvtc5f7Yczz3r526fEpfX1BENyZqsdPCMfXW+ojTA1cBGoNXvk5Mvs1pSnWe8naqqsZ6ufQ/jLr9ba33c91XQdYIzm2GRL2Etrn5n5YX++f+2Y+HjrUPS9Lj7d8zwlDTDkEdiqMCQqqbWRcvadcBMsYY/1S89xP7eW97iktglDoZfaiNIUQKW0scmSon2P6a2urOXdrK7xuUzGuOeyHOje6+twnYdLOTvjcDx1vn/nel6jt9Onde893H+Sp3G+CUBIqwRhSTi3iUQjDR5iGettLitOh60r0QFlmL0oNlIYSlTiYi/FWWkxN5SFCn/BPMY/mMjfH6Opzn/m0sdFk4V4uwyIF7Gu7jsmpU039Tp0av0ZXW+zQ46H7tq8fpnK/CcJUyOERFW/pdIkRcuI5FWxmv6bUQLnmkSrJz1yyWcasRdvcBA4ciBO0uRO0pF772b6Wz96urnWby9x0od1nPvPJ9PHJk83riRPh9WiPSd9YfvKTe1/b2OeNJWobmiN9/SAJkQQhDioR2S5TvESCIUU23iGMMK3loUSNKKXuAvCzAK4F8H6t9Xtan6vV50cAPA/gR7XWv7/67EEAPwDgS1rrv2KdcxrA3wFwBcATADa01v9ZKXUzgM8AuLA69BGt9b1jdRRP6YqU3rq2Z8DVo5GyTik9XTm9aBTh17nXkub0FLnu7eoakmko7d3mRHs87fkUci+E3j/tMembZ1tbzXzoC3m3z+u6N1zvl77jal+7LQhTxRa7sVvBzIEUDwc4kSOMt43xnKbyns7VK6uUuhbAewG8BcBrAdyjlHpt67C3ALht9fMOAO+zPvtFAHd1FP1RAH9Fa/1XAfwnAD9lffaE1vo7Vz+jghQQT+lLpMwc2fYMuHqZUtYppadril40Su9mTk9R+1qnT3e3wYzZ8eNuYtN1bub0CpdiaDxd7oW2tz/0/mmPSV+9Dh0Czp7tHxff+TmHMRaEuRDqMXUJz53anqVjzGV7mFSI95SUNwK4qLV+EgCUUg8BuBvAp61j7gbwAa21BvCIUurlSqlXaq2f0Vr/9sr7uQet9W9Yfz4C4AdjKimiNAOuxmJOYurQNkJjwhdrIWV4d0rsa50+3d8G15BMX6b4gKLN0Hi63At93w8mM297TFxF4FC9hsbFd37OYYwFgQs5vHNT9wD20SV+xsTxmIivXZj6hPG6bhHjSy5xOvHw9RsBfM76+xKAOx2OuRHAM47X+AcAfsn6+xal1CcBfBXAP9Na/85YAZMQpb5P6n2OT+EF4LCfX0wd2kZo+28O7TNQjV+XuKjNQzQkkFKNWS0PKFJ9h4T0qzmn7yEChQikHJdaxlgQhPJw85aKF46WVMIUiBenXLzvV668DJ+9dEOKoteUUh+3/n5Aa/3A6veuTmt3iMsxnSil/icALwD4t6u3ngFwk9b6WaXU6wH8qlLqdVrrrw6VM4k1pb5r9HyO55opMse6zb5rtNeucV5fSDV+sVlWc9M1drFr+ULmXC3rB6m/QyjWkvbdVxT3G+VcqGWMBaF2SnswpyDgvvZqtefH5fhYas/Ey83TKxl7e1lore+wfh6wPrsE4FXW3wcBfKF1vssxV6GUOoomCdLfX4X+Qmt9WWv97Or3T6BJgvSasbIm4SkdelLf5dHwebLP1QuQI2Su7xpt7w8nz2gbyvELDVMu4VFNMT+mHKbpO0/Gjt/aajLqLpfuGXVdIw5S3m8uc9U3o7MgCNPGdbsXX1wF4ZhASS2mJXPxXlJ6S21kzakXjwK4TSl1C4DPA3gbgLe3jtkBsLlab3ongOe01oOhu6uMvj8J4G9prZ+33r8BwFe01i8qpb4DTfKkJ8cqOQlR6rt2yseo4yq4jDH8pjcBb30rcOZMk8AkxTW4CfIh2kb10Pj5isXQMOUSYi7F2JWcD6mFve99nuJ7YWwtaQ5c5qprRmdBEIQuXEN4XalBlMxpbWlurntKj86BsQcXU3+ooLV+QSm1CeAjaLaEeVBr/ZhS6t7V5/cDOIdmO5iLaLaEeek/vFLqgwAOowkRvgTguNb6FwBsAdgP4KPNjjIvbf3y3QD+hVLqBQAvArhXa/2VsXpOQpQOUaOwcsEYxW99667H4uGHrz4uxpjnKsiH8BGAvmIxdC6VEBspxq7kfKjNSxuyf+7YWtIcuMzxVEmxhOnA1XitGQndLYfL+lbxlu4ll7fUIF7TcbTW59AIT/u9+63fNYB39px7T8/7/0XP+x8G8GHfOk5elNYorHw4c2bvaxtjzC+Xu0byVA3JxaJp5/HjaUKzQ+dSjNgolUyJWxKn2h4uxWyZU7KtLvWe+neqIAjpofaW1sDcvKW5hSnQLU5l/Wk9TCLR0Zw5dKjxkPaF7pqkKAB9YhZXUidlMuWbdXwHDrgJqdwJWkIS1JRKppTjuva8GJsjU02m09XPU22rIAhh+Br2rkl8KEi1npQbLv1Z2pvNkVLeY5MMSQRpXTiJUqXUXUqpC0qpi0qpd/Ucc1gp9QdKqceUUr9FW01/cmSnraEuxsDd3BwWRClFSGqBY4d2cs0CDISJjVKZjXNc154XnDMZu3LhQhNOf+GC+zncMldz+t4UBMEfWzxRCVMJiaSj9tD2EE8v97Bm7vWbE6Phu0qpawG8F8Cb0aQLflQptaO1/rR1zMsB/DyAu7TWTyulXpGovs4MrUHLHZqYYz3cWJvGQu5ShgymDkec8hq3UqGS1Nd1DVMdmiMp9yOm4Nix4fXdXYT0c8p2pfqu4hYOLghzIdd+nyFMMYTXZW1p7WG8IZQI5RXqw2VN6RsBXNRaPwkAq1TBdwP4tHXM2wH8itb6aQDQWn+JuqK+dBm8xjBaLpswTyCPwZ9jjVisMZlS/KQWVjkElBCHSxZs6sRUlALLZU6Mre+mIuVDrlTfVbUlqhIELlAY8pyFaU1IPzaEZuIVYSqM4SJKbwTwOevvS2j2r7F5DYCvU0qdB3AdgJ/VWn+ApIaBdAkVYxgdP96EzOXKhprD21VbIhjOxBrQImqvZmOjeRi0XDb9E9Iv1HuJ+uAyJ8z67j6o5kXKez3Vd5VdZ7k/BCENQ2G2KQTVXNaTpqB2b6kIUyEFLqK061uu/c32MgCvB/A9AL4BwO8qpR7RWv+nPQUp9Q4A7wCAm266yb+2kbTDPEtuvUBNbRkxORumsUa/eIWuZm2tSUB1333N61C/9M0Ne467zB/Ke4JCCFLNi9rudWC3zosFcPTobphzbe2YKvb/5q+/5psK10YQ5kHNwrT2tbECT1wSHV0C8Crr74MAvtBxzK9rrZda6wWA3wbw19oFaa0f0FrfobW+44YbbgitczDtRDPtJCOS5CMe1z7knNgmJvup77Y0U6RvDrgm9XGZGz7zh+K+psiIa7ffJ/NwSkKSM/lit297uxGkR47M9/7giP2/ed813xBdXq2GNkd8krB0ZRtNmYU0dj1obetJXfrQN2lOjeIutM7P3bqfpZeUY53mioun9FEAtymlbgHweQBvQ7OG1ObXAGwppV4GYB+a8N5/TVnRPmyPybPPNslGzpzp3yLFpu1xEA9XPK596ON5anvFfLysJZJanTzZiA9uHuAULBbNVjxAk+F5ba1/Dox5+MxYra83fw/NDZ/5w+W+tttvR2kA5eoXkpzJF7v/p5yUTNiLEaY1Gt3cMELH1XimFqDXPaV7Q4P3P70vKIxXBOkuNXlMYwQpZ1wSVAnpGRWlWusXlFKbAD4C4FoAD2qtH1NK3bv6/H6t9WeUUr8O4FMA/gLA+7XWf5Sy4gbb4Dl/3s/AaguWqazLLBka69qHPiGIbVHhIzJyCxLX9nMJX46thxHhwG5Ybuj6QZ+x8pk/pj6ha8hTjJVv5uFU5EjO1BaiJow3x3p+oTyha8+Eqym5Ho9SmLoKUmpxHbK1jWsdYgVNDcI05D7ONV/HxtZlHEWYlsfFUwqt9TkA51rv3d/6+zSA03RVc8M2eIyHxdXAaj/B5yASKCjpGUqx3q1twPs8PMj9oMG1/bm3CTLXbM/v2HqYBEbmd2BvH5w40YjW5bL5faws+9WXLq+tXZ/QNeQpxso38zAVbYE9lpyJgqGkc4BEpcwBEaZ01C5MSwnSVGVSihjOwpSLIA3dM9c10ZcI07I4iVLO2AbP2pqfgWUbwRyNpDEPTd/nqYVYbi9fl3fFdYy4JoWJGSPX/rfnNNA9v2PnytrauNj0KStmrLq8tjahbR3aXqq2h1hcvuemEpUiuCPClA7fcF5KhoTpECXFaCpSiBduwrRkuG6oAB0qT4Qpb6oXpTHYRjBHI2nMgDSfL5eNEW4M5NRCrJRhy8WgpiBmjGLW7bbnd+q5srm5OzdT0+W1tQlt65Q8fVwENteHRUJaRJjSksJrGiN4+7ylIkj9MPeIqzjldk/FzklqMdouW4QpX2YtSm04GkljBqR5f7kcNpBjjM6uc0sJeN/rhrS7Bg9Yux9ctlAByszvmPvKdywovbZjcHyI5cKUBLZQJ5IAiZZYYdpneA+V6xPGK4I0nBrvEc6C1L6GCFOeuGwJIxSiaxsKeysM8/nm5vBWGzHbr3SdS7E9Rgi+123X3WXrDc5b1QDdQo17nUMJbZfrFisxW7GUugdS4LpVjyBQwilEsc2+xy+xrl+b65+47GU8m+PHzhn6fMioN0J0aoLUt5/nRowg/dqrVRZBal/PBe5Zg6eGeEo9Ke1J6/LQjHmjYrKP1uoRAq6uu4tHKFV7qeZNVxtqHqMhQtvl6vmbs4ewPR9zt7/096jAA27hvG0h2v6bU1276PNuxgipGI+pCzUJUqGfUPGWU4h2XbuW+TcXRJR64mPIDhleoUaZ616Pdrlmu5ujR3e3zKk9UZDB3ttyZ+fqdvsm9aFo75A3E4grP+ShhA+c9oANbZermDVrUJfLpi05xVEpUWauu1zuJoWy+zi0Xr7nzfmBgLAXDsLU1Stag0jNLZ5CEx+Zc2tABOkwIYK0pBi1EWHKCxGlnvh4b4YMr1RGWV+529uNID1yZFoeNdNee4/avv5MKbBtozylN5NTEiuuwmKoj9ri6cCBpg1d2XpTUjpZ2PHj3SG7ofUaO2+qe0ILNJRaZxobomufz1GgUkGdUMlXBKQShS5tEkE6TM2C1CDClA8iSnsYSx7jsvn7kOGVyijrK9d+n3O4nIvHpSvZ0/o6cPhwOSO3veet/Qrw8zi3+9n2OAM894CNoc9DWEvSrhTX7bq/KLfNsWmLVm73g8CDXF7TFOtFKcvkKHBDw3i7jnW9XmpEcMbhK0i5iVEbEaY8UFqXGYQ77rhDf/zjHy9ybRdOn26MqFOnuo2nsc+FfoaEp0u/5uh733DEWtbItcWZ6cOpz2fTvuPH926fxJVa5pMrudqjlPqE1vqOdFeYPtd/3Sv031z7odLVAEAvzmpKXmTgJlCHhMiY6OAkSIU4fAQpZzHapmuOfuIX/inp/5X9txzUrzzx41TFvcRTP/qu6v//iae0h7En/1SejqkZny4Mhfq59GsOL9PWViPafuM3gA9+cHxsavH8tMM3TfIrHw9pjdQSKWAoHRpN/b1Uy/0h8IJyDWeNghSoawudIY+pCNLpwF2QxuyVKx7Tsogo7WHMiKIyskobnyUYEpUu/ZrTwP3Yx5oxmsrYtMWZ8SACZdvINWlSKUqHRs/xe0ngT4hIrVWMtuGyfjVkfamLkS9itA44CtIuEdp1jAhT/ogoLUxp4zM3tXiGNzd3f69pbMb6NyQjcQ6mIoKosheXFtG55kUt3wcCT4ZE6lTEaBfUArWrr4bK9VlfKoI0DLt/ufQPJ0HqIkS7zhFhyhsRpZ5QrDWM2SMwhRGX0zCsRXysrQEnTpSuhR+Lxd5tf0wm4KFxLS1+DKEiiJuomUL2YiDfvODcB0J9TFmI9uEb3uuz/U2MMHWFi+DiRLtfzd8l+6q0IA0RoX3liDDli4hST3yNqK7jYwwxCiOubcjnNAy5eOamSHvbn5oM/lARxK2NPvNb7gXpA0Ggost7SrHlTagwdUEE6dUM9edzt+4v0melBCmVEO0q10eYCvkQUerJkBHV5bXpOj7GEKMw4tqGfE7DkItnrgZ8vYDt9aJzMPg5tdF3vORekD4QhBRQeoxTbdMTI65yecRzrt11FX65vaYlBGkqMdq+hqswFfJxTekK1IYxorqMTiP2treHj7cNsdOnG2OW4vqurK833jSTcZWizBSYvWB9+ocrfW0ZamPXfBqiPY4pxrXUmJjrXriw9/qc5q7veLkQ29+5x2tK96wgCA1DIjBEHLmcs+/xS70/uch17RBv83O37o/yUrtewxUKQXr5pitZBKl9PYEXIkpbxBhVGxvNNhuuXpsURqwLOztNmOfOjv+57f5JaYSa/jl6tH4jt2+sh+aAz3zKJQZKzVlz3WPHrr5+aaG8WDQ/y2Wz1Q6l1za2v4fOT9FvpeaHIAjl8BGmroKUK9RCNVZYphCmvoI3VpDmFqPtawt8kPDdFjFr1HxD0UqFHsZc1/TPcgkcONC8njzZfEYdhrexAZw/3wjorm1ZSie58bl+X5/Hbo9jyLW2svScXV8HDh/ee/1S60rt6wLNfXDqFO1cjO3vofNT9BuncGpBEOigWF9auyDtI3QvWSpBSbXWNKQ+FIK0NBLKy4fJitJQwZLDqLLr5moMUgqwmHVcpl+Wy8agPX7czzvsgt3Ws2d3f29TOsnN0PXb49XX51Rr6lzmLcUcKrUG0KyR7ap/aaHctV6citj+Hjo/Rb/JGlFBELqYelKjknvHAvHCNHUocBsOYlTgx2TDd0PDyHKsUQupG5ewONM/m5uNGN3cdO8v13BBu61D4+EbLk3N0PV9xqtvvWT786F+c5m3fXUaKp9DaKyhr/4xa7Rj4LSeNYTa6y8IQl7GvJh9oshVLNXoJQ0ltwjsI2ZtaqiXlKMg5VinOTJZTymVF4DKQ2mXE1I3bmFxIR4RV8+ma1tLe2Xa1w8dY9MvJlQZ2FturEfY1MsktmrXaah8DqGx5rpjfUpdV597v7TXnpqhtpcOmxcEYXrULEhLhe12levjLY2px5QEqUHCeMszWVFKJVj6jE1fw6xdTur1qhypRWx24TLefWM8du7Qekn789AHEu11wH3X7yqfU2js2Lygrmt7PIfGkdtDo1g4PqgQBKE8vmtLpx62yw1XYSrhut2IMC3LZEUpFX3Gpq9htr7eeMKMt8qGwvNA7b1I4Q3hIjZD2tY13nY5wN7sq/ZnY3PF7hcjfk6fHl+P6kp7HXC7HkPll1xDWvrBTfveHxpHLnPbJuYe5vigQhCEaSJeUlqGhCnF9X29pLUIUoMI03KIKB2hz9j0NczMNixAk7zHNhIpPA/U3ouc3pDc4YAhbesa76Hsq6dP737mO1eo+97M4QsXgEcf7X4wIlxN+94fGkeOIa2pMom7CHCO/SEIAg2u3tKpe0k5ClJu1y8pSG8++GUAwGcv3VCsDoIfIkoDCdn+pW97EwrPQ0wZXQZkrmyuQLjxPHb9vs9D+qprvIeyr9qvXLYKMg9GDh/m59WrgaFx5BjSurHReMeXy+ZeyCkOOfaHIAj5kORGZbEfClCKUR8vKQdBan73FabiLS2DiNJMrK31b29CEfrnWkaXUOsyIF3KozI8Q0XY2PX7PqcKtWyXQ3WNVKGgof08Ba9X6jZw7dtHH20eRBw4kFccSoivIEybMW/p1MnhJf3aqxWue0p7nxdzzSFqEKS2GG2/L8KUP5PdEiYXPltmcNiCoWtbjdCtVai2ZAntl7Hrp94yptR2KaGE9jOX7Yh8sccntA2uY9zXt2PnU/dtu83nzgFHjvSHHKeavxy+6wRB4M1cvKShgtR+FYa5+eCXewWpfYwvta2HrR3xlEZSW5haV8IlX8+c7d3htCWL7+extLPa1uxJHMLV68XNo2rfm6HrQWPv77EEWSkzBrdDyF3qJgiC4EqMt7RmQZraQ9wWorEeUwq4ekl9hWaIx1TIh3hKI6H0xuXwvJl1hTs74WV0eXdyew27rpe7Dmbsn3++6Y+trTzX7WOo/TF94+r1CvH6jdUrpk32vTnUhqF6x97fXefb12vXK3YOu7a5r26CIAgCHaWTG1HA0Vvr4hkdOlfgiYjSFr5GIWWYWo4wSQpDdMzQzkHX9XLXwYz9N36j2/GpRfNQ+1P0Tbs9IXNrrF4xbXK9N9fXmxDXrqzEsfd31/lD/RQ7Tj71lRBbQRBiCfF4zsVLGhO26/o+N3J4SUVUThcJ321RKqRtsdi7z2UqUiVVyp3YpCsMeawOqcJLNzd3w3eHSD23+tqfam612xMyt8bGLMd+mbmzEg/1U60JgkIzYQuCINRC6cROJcJ4OYXtUopRCePliYjSFqWMwu3tvftc1kbq9ZttuoTEUB0WC+Do0d29Yinr6tr21HOrrx6p5lZse1yEimmT8crax1LNOU5CMPd9REVoJmxBEOrHZ21pzV5SHyi9pO1jSq8vzU0qz6gIU36IKG1RyijkZBjXgG9/jWUizQHHuRXjwYptj49QSSlqahWCnIjxeAuCIHCnVNhuSUp7SXOE6Yow5cXsRCnXMDIxjP3w7a+xTKRTZqivYsVezP3kI1S4ixqu3yu5KJ0JWxAE/szFS5qa1N5SDgI557pREaZ8mF2io1r3XBTc6EsmxC2pS0jSoxSJkmITX8XcT0Nj0m4rt/FrI98rgiDMmTHBWbMg5eglTSUcQ8ql9pKWSGQkyZN4MDtROmaE595WRKClFnEQsq1OirbFir1U24rUMo4G2V5FEARhenAUpBTn5ijPl5htXqiuP2WUUncppS4opS4qpd7V8blSSv3c6vNPKaW+y/rsQaXUl5RSf9Q65y8rpT6qlPrj1es3W5/91KqsC0qp73ep4+xE6ZgRXpsxLOzFVxyUegjRtQ3J2NzjJnxShazmykQ9VodSW0NR1UkQBCEnfd7Qmr2kc+Brr1bBgpTKSzp1QVgapdS1AN4L4C0AXgvgHqXUa1uHvQXAbaufdwB4n/XZLwK4q6PodwH4Ta31bQB+c/U3VmW/DcDrVuf9/KoOg8xOlI7BzfAXdnExyn3FQamHECZ78M7O7ntjc49bCGuqvU+PHm2yBR84UK6tHB9OmTptbYk4FQRBSA1nLylVGTHnUwjS0t7RNpzqQswbAVzUWj+ptb4C4CEAd7eOuRvAB3TDIwBerpR6JQBorX8bwFc6yr0bwNnV72cB/DfW+w9prS9rrf8EwMVVHQaZXaKjMSQhB19SZGBNmUBnyJPYdd3a5l6KviuZJdkeL46JlUxdlsvmPlgud/fH5fKgQhCEedPeHka8pHwpHa7LlYoTH60ppT5u/f2A1vqB1e83Avic9dklAHe2zu865kYAzwxc81u11s8AgNb6GaXUK6yyHukoaxARpR34hiUOHe9TVqpjp0KXUIjth7YQpOzXIRFdmwDtIkUbcmZJNmO9vt54rJfLxkMLNO3iNj72nq0HDuyKU4BXXef43SQIQoOPd1Eoy3VP6Shhuv/pfdHe0s9euoGddzK1IFVXFPY/vS9F0Qut9R19l+14r53C2eUYV4LKElHaga9Hbuj4VHsxznEz+i4RRN0PY+X5GNwcvW3cySnWzVifP994Z48fryN0vy1OudV3jt9NgiB0c+X2g+It7SFWFJoyStchFiMCS4vTSr2jrlwC8Crr74MAvhBwTJs/VUq9cuUlfSWAL0WUJaK0C18xMXR8qr0YRfA0UPfDxkbjgVouG6O/LTx9DO4peENTU9KrZsb6+eeBN7wB2Nzs354mZR1Dy+c6v+S7SRCEKdAORR7i+icuB60rjRGFVHuVxtSBwltqKClOJy5IAeBRALcppW4B8Hk0SYje3jpmB8CmUuohNKG9z5nQ3AF2ABwF8J7V669Z7/87pdQZAN+OJnnS741VcnKJjigyVFImlPEpK9WxqaHo89AyqPvBlHPyZJNQps1cEmHlyvSaI6HQ0N61Bw40nw0lVfKto2/fUfRB+5olM/Vy+m4SBKE8EtI7TIi4pBKkqcqL4bOXbsgmEnNeqyRa6xcAbAL4CIDPAPiQ1voxpdS9Sql7V4edA/AkmqRE/wbAPzbnK6U+COB3ARxSSl1SSv3Y6qP3AHizUuqPAbx59Te01o8B+BCATwP4dQDv1Fq/OFbPyXlKS4SOzT1cjaL9dijl2bN8DVpq7xTX9Xe55nQOr9rQ3HK5vm8dffuOog/a1+T2ncR1nguCQMfcxWeot9SXVAIy1GNK6S21scViCu/pHMSojdb6HBrhab93v/W7BvDOnnPv6Xn/WQDf0/PZuwG826eOkxOlJULH5h6uRtH+jY3dtX3b22UN6c3N3d+7Qngp4SYeDLnmdKoQ1HYm3b655XJ93zr69t1Q+a5irn1Nbt9JXOe5IAjCED4hvDG4CsLUHk1uwtTQFpAxInVuYrQmJhe+mzp0rCssbi7hakNhkF3t9wkhXFtrvFgcQmNNWOfJk90hlZShku1w4JJhlzac5rTpkwsX3PvGDonNPbd8+m5svF1De9vX5DR+wHzC3gVB6GbuXlQXuITQcqnHECbs1ldgiiDlzeQ8pamZ8xN/yqzEXXBK3DLkaeoLlQwJPW63ecrzKzSEs50lFxjvG3v8OIeOjo03N49nKJzubUEQ6BHR2RAbwjvkqcwpFkM8pqm9pX24eFFFjNaBiFJPpmIkhkCVlZizSDAMGdFdIZJUocch88ulP3P2ed+1QgW36Yv1deDwYbe+scfv9Gm+Qn9svEuJuRruUUEQhBzkCuEdooT3siZhaiMCtF4mF76bGm5hcTnDPX3b3nd8joyrKekKlaQKD22LKd9Q1ZhjbLrmletc29pqrtXOXhwawmn65NChsHuPc+got+8TQ+33qCAI/Cgt7HJx/ROXo85vC9AawmkFgYLJeUpTPuHn6D3w8T6lqH9ImVP0NlN7tHzGNTSD7NDYdV0/NrS4lNdPQkf9meI9KghCGuYiNnNivJSlBWmt3lKhTibnKU35hL/PA1QSHy+Q6ZutLTrvakh/UyRGmjou43rhAvDWtwLPPjvubVtba8ra3t7t36Gx67q+61zb3GyOs7MYA/TjO1TeVOZSqXZw9eAKgiCUYN/jl7Jfs7QgNYTUY//T+xLURJg6k/OUzu0Jv48XyPTJckm3xi6mv9ueuikn+fHFZVyPHdtN/PPww+Nltvt3aOy6ru861/qOox7fofKmMpem0g5BEASg8aqWEHi5ybVnqSBMicmJ0rZBTBmyes89wKOPNq81YvpmsWi2PKEQ7jGhkT4iSbiaM2f2vo7R7t/cYa3r601CqPV1mvKG5kvtc8l8b5m+qrUdgiBMGwnd7ae0MKW8voTxCjmYXPhuG8pw3p2dxjO1sxNfViwxYX1cQvPa4aAl6hXTj6VCK811v+VbGg/poUNu55Ue99D7x3d/3LHPSuEzX8z31s4Ov3YIgiDMkRo9vLFJl2LZ//S+PT+CMMTkRSll5s2xsnKKlClkx/QRDn19G9vnMf1YagxyXDfFXA69f6Yw1wG/dnDOGCwIghDDnLyrpUShfV2qOlCscRWBKgwxufDdNpQhimNlGaPz/Plmi5CU3o3awxN9aYf6mvDG5RI4eXL3fV9i+rHUGOS4boq1jGP3z9ZWM5bLJXDixO77Q+3lmBG7D59x6+qrmtrqyhTbJAiCYJM7jLdLhFLVISSMtw9bmHIL8xXRXIbJe0pzsrEBHDnShCim9urkDE/kkMm07TmyRVOMRymmH0uFiOa4ro+nLvX8GGpvTV7UkD1obULbyuH+7aOm8RMEYS9z8ngaQkN4c3lMh65TOpR3CA5hvqWvL8zAU5qTtbXGQ2qe/Kcit3eBQwbQtufI9jpNwcNS0mPUdW2fCAOq+bG56Z+Aq8aIAZf+6hqT0Lba1zPbAnG5b2ocP0EQ4plLFt6cuIhOCo8ppbe0j7YwTOVJFQHKCxGljriKhhwZTUON2lA4Go72vptcDOwYSgr/2GtTzY+Qeyd3BmEKXPqra0xC22pfj8MDJpsax08QBCGElGG8Pl7QWoSpTZd4DBWqIkT5IqLUkb71biUINWpDiTEcU3oAUxvYOb2XJYV/7LVrEBYpxjK0TJf+opwP9vVKzjNZPyoI04EidHeO3tIUwjQkLLf0djUU9InLPrEqYpQ/sqY0kJLrtFzWFHLJ3plyzVjqNrbr3h5zyjnQHlOXsqmun2KNKrd1jGNj6YM5d2sr3dwOGROXNoXMMypk/aggCIKQmvb6VFknWg+zEKUhhlf7nM3NRgBtbjZ/czewuOzTGCsczThcuHD1GKZuY19yJTPmKeeAS9n2MT5zPIcQ4XZ/jI2lD1RJtqgx9Tp61P3BSVc/pJofXB6UCYIglKJ276QgpGQW4bshYZ7tc4YS7QyRO2SNW4hcbGinvc3OuXPNe7lCRcfGPGUopEvZoWsFc6wr7Kt/qfkZev924ZpkK3dbNzZ275Pt7aa9Y2Pd1Q+p5kcNYd6CIAhDxIQtpxKkz9263zuEN7YuOdeTCvNhFqI0xAAdO8fVwAox8GKMWW6JTEKw22/6f30dOHy4rJelPeYpjWyXsttrBZfL5mexGA/ttl9T0LfP5tGj6R4u5BKBKe/9GLqyf4d8j6WeH9wenAmC4Mcct4KJRTykgjDOLMJ3Q7BDQ2PC2UJC1nxCC9t14xYid+EC8Na3Nq/AeF8a4WLab8bh0CEe4ci5cZ17a2vNdionT47PG5+wZ8pQzu3tRpAeOZJmfvrcNy7Hxra9xL3YHtuQEPfUYfHcQrsFQRBcCBXj3ASpeEkFrszCUxrrsYg5P8Sb5uOpGAszLs2xY40QefJJ4Hd+Z7wvjXC5/fbGO1ob1F4gn7mXwsNF6e1bX2/CS8+cSSN4jLf4y19uMmRvbvZfJ0cGa273Ihc4bjElCIKQglyCNCSEVxC4MQtRGmsE5Tai+kIfu8QOdwPvzJlGkD7+eHdYYRt7XdzOTn1GPXXIphFytkDvmwsptu6hnF87O824Hj6cZlxtbzHQ/N53ndzbslAxhdBXEeuCUC9zDd0NaTc3DykF4iUVUjILURprBFEaUSFG5dBavNwGnm/9Dx3a9ZCac4bq27UuriaoE/x0CbkUaxX7yqScXzlEnvGWUlyHo3iawppxQRDSYgQU9z1AudcvhhKC1MVbOkWhLEyHWYjSWCi9E6GZgKnW4sW2JaT+vsY9RzHgSl/dQ8VEl5BLIe5KJT9KcY0TJ+jK4+aZpB4nbu0TBCGMuXowcyB92yBeUiE1IkodoPROxGYCLiGK++oiuBPab11CLkTcjYmPtbXdrWVEoOyytdWEAy+XtGI3FGphL55XQaibIcF05faDk/ZGcqWkN3LIWypeUoE7s8i+yymLJmU2zJB2xbYldWbOqVK631wynsZkRaXM0pubkLq7nsO9X0pkCObeJ4JQA1duP+jkwaP08s3RYzjHNnchXlIhB7MQpbFbEJQUFMaAu3DhakMupF2lxVEfMYZqCSM3pZBJgYv4iBEoFNt8lOqfobpvbjZ9srnpfk7IcaUo8X3AvU8EgTOuYrR9jpAHrt5IrvUSBJvqw3eHwhLNZyZzaY0hp8aAMxlpgd0wuymF0saEEZYIQQxdG1wqVNIl7NM3NNS+9yjmYqn+Gap7X5+4trf2ezTFmtPa+0QQShArLCWU159axTz19jDiJRVyUb0oHTJkp7Beyhhu6+tNBlbbkKshIZCrUWuypi6XjVd4Z6dp886O27n2aw5i1wbXxoULzZ6zZ840GZWBq++vvrnoMwfs11yE3Eeu58QI/TERmCNJUYrv0Bq+twSBA9SiSIRpWii9kUYIXveUji6rVi/p5ZuuvPT7/qf3FayJkIvqRemQIcsxU6VvGbYBF2PIlcqy6WrUmj0m77sPePTRxivc5R3uO9e1b6j6IaWQKcFYvxw7tjsWDz/cvLreXz5zgGv/+BAzx8b6yi47x0O3mh+kCEKtpPTQhQrTWr2GIZTek9T2TH7t1SpImFJ5S0t5SW1Bav8t4nTaVC9KhwxZVyPX1YiMNQLt/UbPn2/248wlEDmGRvYda7zCXd7hWFL3gx0y7uLljbkG5cORsX45c2bvK+B+f3EQNn19FtqXQ+fFzLGxvrLLTt2vsl2MIORhToKPMxzGgVoE1uglbQvSrs9EnE6T6kUpBa5GZIgR2PZsnDsH3H5787q9Pe4NqX0dl4/3q8srTC0cU/WDGbPlstlCxNXLGwKFsG6XMdYvhw7tekh94eAB7euz0L4cOi9mjo31VXt7qJTb+Exh+YMgcKS0+JEw3r3EjgeV8OsTpKHe0lhKeEmHBGnXcSJOp4WIUlxtRPaJwhDj2jbs1tcbsfLP/znwO7/j5g2JFa32sVwNy5wema4xpLi+GbPjx5tsrSm8vIY+0ePTjnYZHIRjSvr6LFRAhiRHoqBddkrhGCOuxcsqCHspLUTbiDBt4DIuKQRgbV5SV0HadY6I02ngJEqVUncB+FkA1wJ4v9b6PT3HvQHAIwD+ntb6l8lqGYirYZTS0LMNO+MpPXw4ziPrUz9O3o6+8ShdR4rrtz1YoWW5zNk+0eP7MKP0fMhJn1cxtB9S9589VkD/nEgZARHTxtL3tCCUhovYGcJVmNbQFl+o2kQh/FwEaW5vaW4vaYgg7TpfxGndjIpSpdS1AN4L4M0ALgF4VCm1o7X+dMdx/xLAR1JUNIRQw4jS0LMNO9dyfUL4xuCwns/QNx6l18ZRXJ9KpMSuRzQZjBcL2rWOJWiPW6z3zbX9HLx8dl2B/npzfbjA6XtHEHJSm4Cbm8eU2/jIdiu0iDitGxdP6RsBXNRaPwkASqmHANwN4NOt434cwIcBvIG0hhGEGkapDD1T7mIBnD4dbvTa9RszoDkZrX3jkbqOY2Kkff2u7U9yEbse0WQwPnCAdq2jL5Qh0UDTlhBRPbSXKlfPPdA9VjUJPE7fO4KQC26Cx5U5CNMUYxPrJfUVpLm8pbV5SfvKFGFaHy6i9EYAn7P+vgTgTvsApdSNAP4ugL8NRqKUq2FEafTmNKBjhUap8fAVY13bn+Qito9KrXVsQx0S3fUaUo++MH07tJeDl689VrHjNnTvhn4mCMIutQpSQ58wnUK7OCIe0oYUgrRdtojTenARpV13TvtRzf8K4Ce11i8q1X+jKaXeAeAdAHDTTTc5VnF6UBq9OQ3oXAKY2hD2FWNd25/EQNWemPWmuUkREh3StqF6tNd794nXKTB074Z+JkwH+3/z11/zTYVrUx9chQ935uCh7eO6p7QIUzSCMYUwFSFaJy6i9BKAV1l/HwTwhdYxdwB4aCVI1wAcUUq9oLX+VfsgrfUDAB4AgDvuuCN/fmsmUAqHnCIkpQBub50Tux9sjAiM2f6ki9D2+O4lmhMOYeOxIj1kvXdJYua1qzj3+cwH8bjyxv7ffP3XvWK2/5tDmJIgbYvE0LaZsNbrn7jsfU1q9j1+KdkYXf/E5agQXjsUd0yg5kxyZK6VSzSLgBQMLqL0UQC3KaVuAfB5AG8D8Hb7AK31LeZ3pdQvAvj3bUEquMPVgEspNNqhlPZrTFkhaw9Nn1ONQ2h7fPcSzcViARw9mm4fVleoRDrX+61NTHtdxbnPZz5weqAiCFRMSZAaKEXic7fuF2HqSFt0GkEYI0YpRbNdJ0FIxago1Vq/oJTaRJNV91oAD2qtH1NK3bv6/P7EdZwdczTg2luqUK+rHBMeXX1ONQ6h7eG6l6jZ2ujIkbICmUqkD40zJ8HK5aFECDXXXRC6mKIgNcS0rS2CRJiGEStG27+nFM6CQIXTPqVa63MAzrXe6xSjWusfja9W3cQasnM04FKHNI8JzKFsp6XGgYsIbdO1J+sQrvdD6H3z7LNue3r2MTTOnB4QcZ0PLtRcd0FoM2VBmgIuwjQlKYRpSB1cPqOqZ5dwFqEqxOAkSudGrv0Q+xADjp4xgdnV5zIO3fj2i+v90Hfc2NYt58/vhhID/l7PofaUfjAhCAIvRJD2MyR2XIVpSlJ6S4FywtS3Xym9p236PLycxWrO9brCMCJKO4gVlRwNWdsgB/iEJI5BFT7pI6RKh2xy2KKD8jqu90PfcX33ozlufR04fHh8T8+Q+1oeTAiCYBBBGoeLMK05jBfIK0xjRX5KcdpmSPhRCFYRltNARGkHsaLSGLKLBXD6NA/xZxvkQPmQRFfRUyJ8snTIJoctOiiv4yrs+o5r34/23DHHu+zpGbLWWNhF+krIAdcQzpoEaQmvpKuwmYswBdKJPeqxzSlOuxBBmQel1F0AfhZNfqD3a63f0/pcrT4/AuB5AD+qtf79oXOVUr8E4NCqiJcD+M9a6+9USt0M4DMALqw+e0Rrfe9YHUWUdjDFjJNDayaBeIPT93zXvrHrncsoLu3pzrFFBzDcn6X7AOgWn0D4fRWy1nisXlMQZzkfEE2t7wRajFDgJkxrE6TmNZcwTSFmuM2BEPr6P7S/Uo9ninWnAg+UUtcCeC+AN6PZ6vNRpdSO1vrT1mFvAXDb6udOAO8DcOfQuVrrv2dd418BeM4q7wmt9Xf61FNEaUI4GPaGtkFO7YHzPT+kb3KJ/NIhmzm26ACG+7N0HwDjYbsh95URRevrwM5O8+pblss8rEl8hTwgSn0tYX60hR8XUVKLIO0SERzWcXbBIfFRam/pEGNtt8ey1PiJQJ0cbwRwUWv9JAAopR4CcDcAW5TeDeADWmsN4BGl1MuVUq8EcPPYuSsv638H4G/HVHISopSrAcjBsLdJ6RlbX28SzhgjfwzXvqHcv5QjVHM3pBzu/dlXv5j7qis50saGX9+59FtN4st1Htj9HrrumfucE3hRWpjWIEjHBENqYRoqWOYuTIfg9iDBpT4iXNlzI4DPWX9fQuMNHTvmRsdz3wTgT7XWf2y9d4tS6pMAvgrgn2mtf2eskpMQpTUZgCVJ5RlbLIBjxxoj//Dh+DGwjVrK/UtzEhoSGSpSp5jEZ23NXzCO0ZUcybfvXPqtJvEVMg9C1z1zn3NCGYaEQWlhypnahYCPMAWQZB5wFaa1wVW4cvT4Xnsl2TraNaXUx62/H9BaP7D6vSubVLsSfce4nHsPgA9afz8D4Cat9bNKqdcD+FWl1Ou01l/tr/5ERGlNBmBJNjaA5bL5WSzovMrb240gPXKEZgzaRi0XI9ZHMIaGRIY+YJnqPUD9wMkWReY1Rd/FiK8LF5qHPGfOAIcOjR9fglzrnoXp4yIISghTzkLF17hO5S2lMPJ96iYPKOpmaJxzrLPl5oFOwEJrfUfPZ5cAvMr6+yCALzges2/oXKXUywD8twBeb97TWl8GcHn1+yeUUk8AeA0AWzRfxSREaY1P30uEHK+tAQcONEb+gQN0fdb2ZlKWB9D3VQ5vZEhIpM95Y+VMhRwCh1vfmagDAHj44bJ16SNm3TPX5RZCfnyEX05BwlWQxohAamFK6XUqLUzFW1qeGQjG0jwK4Dal1C0APg/gbQDe3jpmB8Dmas3onQCe01o/o5T68si53wvgca31SzemUuoGAF/RWr+olPoONMmTnhyr5DXBzROiMAJnezvvdTc2gFOn0niFqAzMdnnUfeVTntnWZ7Ho7jv786E2uELdl2366pv63NDyUvcHNRR9dOZME3Vw5ox/mdRjlIJS330CL0JEQGrhcOX2g2zFCZVXkis+dUsxRuKBFaaM1voFAJsAPoJmq5YPaa0fU0rdq5QyW7WcQyMcLwL4NwD+8dC5VvFvw97QXQD4bgCfUkr9RwC/DOBerfVXxuo5CU9pDkITe/Thmxgo9DptSniFYutN7S3zKW8slLi29cwx9aVua1d5qb1oqco35S6XwMmTzXshfbRYNFmBz55t6rdYAEeP7npOx8qsYT5KeK8QIypSeMq4ClGAp5BMVSfxmApCOrTW59AIT/u9+63fNYB3up5rffajHe99GMCHfesootQR18QerolZdnbGEwO1DegaDM4uYutNLaR9yhszoCkM7JzhjDH1TfFwoL3GmXKOd/VrqnvIlHv8eFwkQrt+vuu1axB83MKlhfqgFCRcRQgH4cedlAmQBEHIT/WiNJdB75rYg3LPv3ZZNRicXeSod3se9M0L3/kyZkC7GNhj1xyaM9TzO0YQpHg40F7jTDlXuvo11Vz0XVfdN67t+rVfT58evoYIPoE7VCIwVphyFaNAeu9ojDDlWDfKhxS5vKU+9S01V2uNSBiqN+f7XpiAKM3lPXRN7BGa4KaLdllD57iKl5Qivq/sHIZyl4epa174zBeqvhq75tCcqdU77orPHI8tm7p8G9c9PA1949qun/336dPxcyFkTlN+Z0iSo3lDbRCGiBHORmnOUF3OHtPahGlqT61dfur5m7ItlGIxtJ5953H+XpgT1YtSLt5D29jqMhhDjDEfA9pVvIwdF2M0lhRQ7VDQvnkRs540pm5D1xwaZy7ze4zQeZPygQVl2T4PfVzWgIaMK8VcCJnTlPf11B+yCP2kMvp8xAhXw5PjutEuuItmamHKkRQClUNbS9eh9PWFhupFKZdwtTFjK7Ux5mqwjh0XU8+SAqorFLSr/rHrSVM/XGiX77O9BlDOCxU6b3J4zii8gz4PfVzWgIZ8b1F815USwynKEuohR9bcGkP2SotRH+HnU9evvVq99Pt1T2nvetnXLClMuWPaGTK/59JHQl1UL0ptSoaG5UiIM4QxWM2WEH19MGbYDtVzrH9LPyCg7uOu9qR+uOBbvn08EFc3n/unfWxINmmgv72U9zKFd9D1AYXv2tLclBLDKcoSBJsuMSJidBzOYbyACFMXXL2nc+oToU4mJUpLhoZRJMShIGWmW+6hdzn62Ef4hggrX2HddbzruTHZndvHumSTdq1/V/kuuCYPCqmX6wOKsYdDsqZSmBs5haEtRrgJUk5CVJguffNfBKlQA5MSpRIaRhdy6lp2bkokarLxSTYVIqx8hXX7eJ9zh7yBpi3r643g9M0SG1r/vvJdcE0eFFMv1zr27cHqs+eoIAj+cBKjtQjRMW9kLe0QuhFBKtTCpESphIalDTnl0L8pvbWm7PPngbNn4xM9cRDxQwx5A02m1/Pnu0XUUJZYCkLKy93fvgmqzHrT7/3evXuz+sJlHXEX4gkWbDgJxFyIgKMlJLRYRFi+rW0EgZJJiVKulDbUjPG6vj6+z2FOqMJbKT3BRoRtb8eLIg4ifggXUbW+DrzhDXEiKhec+rurLqZPl0vg5MndhFy+UK4jpoZ7iL8gpELEqMANEedCbYgoTYgRS8YIBcoYasZAptjnkBKq8FZKT/DZs3u9UL7nc+hXCtptMfP3xIki1ZkE9nrTAwfCPbox64hTwz06QMjHnLw0UxCkfSG8U2ibIAh1cE3pCuTAJB1ZLPJe1xZLp06VMdQWi0ZInDjReL0o6kHVnxsbNPWhKgfYFQ5tj2COOTSVawjD9M2xNn1jZZ/vWlYMPnMmR30EgQvP3bpfRBszxDsoCPVSvSh1MZiMONzezlcvYFcsbW6WM9S2txsv18mTTcIainp09WeI2GmvYQwVSjkM4RxziOs1Njd353FuahLRoXXtOy90PlD3WUg9TB0uXKhn/AQ6pu4lnaoYpWiTvUepIAiCD9WH77qEbpYKKfMN5xxbGxm6BnO53P2dgr4kLqEhtLHht7FrSl3OzzGHuF6jZFhyTWsUQ+vad17ofKDuM9d62PeRnTTs3Lnw5GGCwAnOQrRLDF73lI4qs3R7Oe+fKggCPdWLUheDqfRaP1fRNGZMhq7BpF4HOJTEJURQxYqxWCPc5fwcc8j1Gl3zyfW90veCL75zgyLp1WIBbG01v29upttjduy80LGifrjhWg/7PrITZQHhycOE+piql7S0QOsihVdybHsYzkjoriDUTfWitAYj21U0jRmTnJOIxAiq2DGM7RfKfnUVRTHiqWs+ub5XG75zg6LNJuQd8MuQGzqPY+d/ey5Rlde3R20f9n1k1yEmeZgglIaTGPUVoV97tYr2lgqCIOSielEK5N1yhWobky7GjEmOAty3P1IIpdh+CTm/r92u7Yvph6Hsq2PvlSb1vUrR5hQh7ymhvqfaobeu5drZhe2tpzh+bwnCGBzEaKn1mRzaLggm6kI84PNhEqI0p0eIahuTqeDbHyHr01KtE40hdh1gjHjqmk+u75XGdb6Ejh9Vm82WLV1ZmEvuOdwF9cMHO/T28OHya1qFephK6G5JUUYtRGv1lvqGEItwmQ7t75Ertx+U8Z0JkxClLkbZhQvAsWPAmTPAoUNpr5UaToaxb3/4rk8LTZCS2jA23rTlshmPdihy21vUhqNgzIHrfCkpbIauzVFwUc8lu7yxcru+i4bGmNN3lyC0KSVGJWOtIDT0PdgSYToPJiFKXYyyY8d2Q9EefjjttbrwMcbGjuVkGKcQV4tFI/a+93uvTpDi2o+pHx6srTXetPvu6153yGmMKIkVFa7zpeTDn6Fr56pXLeKta54PjfFU7wuhfnIL0pxCtFZvqTAfphJlIcQxCVHqwpkze19zYYzL5XI3ecqYMTZmuKU0jDkYwybRzPHjwPd9X9jWMzk8kRzES04WC+DoUb91hqGU9CQPebtz1av0Nkmu+M7zKd4XQv3kEqTiEU2DeNDqxlWQird0+sxGlB46tDcLZC7BZYzL48eBU6fcjLExwy2lYczBk9HO4tn3WWmGxoFzeG5odtXt7UaQHjnCo/9TU/JeKL1Nkitra7v7krrMI873hRBHrZ6OHIKUgxityVta65Y0gh8h3xkiTKfN5ERp20PQtaE7kM8wGhJYfZQw3GyhApQVHbWKvZS47kPqcm5odtWQuZyDVF7BLmGYywMZM89N+PtP/MTVa55TwOFBliCEkFKQchCigsCR2AdYIkyny+REadtA6trQPafgqkVEiWHJm5h9SNvHhWZXLT2XY7fh8aWrvTnvk1ABbMLfjxxpHjr47LUaAqfoBUFwJZUg5SxGa/KWuiLipC5qjagQ8jA5Udo2kPo2dHeBw/rK1HDykAr9xOxDah9nz2lXUt8HruXHbsNDQU7vaagA9nnoMFR313aVflghCL6kEKScxagghDAmIH0eCFCLUfGWTpPJidK2gRRjMLkYhbUL19SenxT9M2ZIb201v29u1jkmXcTsQ2ofd/r07ngDYZ5WalzL7xOfOUVRTu9pqNj22dKlXffSyx0EITVzF6RT9JZypVbh5JN4qA/T7pSe0Vr7V+hncqLUFRex5GIU5jLccq6boyRF/4ztI2myHKcOW3QlNLGQfS7FVkLAsMe1j9RzxLX8HOIz5D5L1T8lMkiXXu4g1EktIXnUgrQmMVoLU0lyZO4J81qLeKK6l3N9J4gwnRazFaUuYsnFKMxluOVcNxdKl5cypn/6BMLGRpPApSuJi/ks9JopCE0sZJ/rck7InPb1tKaAU/inT3/b85NL/X1p970IUWGq5N6HVEhPTWKkBnFay8OlNiJMp8NsRSmV8ZXLoK7BWOzyUqYIn15ba8q/776rvaFra8CJE2HXa0PlnQ5NLGSf214P2lWf0nOk9lB2wK8Ppxje2hfqPZX2CWnY9/gl9gbt9U9cFmEqZGHoXuAoTrnfuy6IMJ0GsxClXcZybUmPSm4T49pmai/lkEDIkXCGSnSMrfEbqrePSCjpcVwsgKNH/T3B3PDpw9IPAVIz1r7S34mCUJrrntLVhfCmXk9qyg9Zu+oTulu7AOEiTqcgSA1c+lQI55rSFaBmsWiM98Vi9z0jLra3w8t1LaPr+iFQlRNTvm+/GS/liRM0RqoRCF1ldX22tdXU14QQA/79aB+/sQGcOpUvNHusn1PWJ3a+bW83gvTIkemKtDZD85OamPEJPXesfRTfq8J0qMEQTLFe8bqndDWJg3LWM6Ug5YyvyLty+8EiwrDUdXMw1XbNgcl5Sru8WxQeDdcy+rxrFy4Ax44BZ84Ahw6Nexk4ZDydgifItx/bx3MKzU7pCY2db+2tl2qiBo9fzPhwyw4sCFOkRq8pF3wFaQ0PQHyxhVTq9s1BtEk4b51MTpR2GUoUxrxrGX2G2rFju6GNDz88bihyyHiaMxyUQhhsbjZrTEP28gw9ngIOiX5i203VhhIC0VW0uWRR5pYle7FoQuqPH68zO7AgUJNybSlnYcrVmzsVDyklqcJQ5yBGbSSctz4mJ0pLG0p91z9zZu/rmJFZQ8ZTSgOcwpsTs5dnDZlUUwq20veNoUTyIN8oiKEsypyyZNvrfE+d4usFFqZDDQmPUsNRmIYIUq6JoTgLDOq531VeaPvnfF+K17QeJidKuXLoUOMhNYwZmVMPKWy3z9cTxDWpUUpqqGMI9lhSearb88M1mdQQLlmU7WNOny57/4as8+3qpxq+iwQ+1CBMUwuutgjkJlLHMN7L1P0kXlJ/xu6ttvjifi/mQrymdSCi1ANX44zCiKtBgMQIiHb7XISB3a/U/UMZtpvKsJ/qGr4U63jbZVJ74sf2geWwnUrIOt+ufqrhu0gQfMnpCSwpUmMTDqXqpxBByllQcBF/XOpBgT3vqB5giDjlzSRFaaon+67GGYURl1qA+HiS+ogJ+Qxpn92v1P1DGb7aHn+q7VK4hNi64DOfKL2jJvPyPfd0l51L0HN4gDA0X/rGp6veHNoi1EUN3tKS5BKpVOtIjSCgEqfiIRWG6Jpnz926n3TeSEgvTyYpSktlm7QToQwd54IxKM12DqkFdkifxYj/EIHV9vxQjW1oO1wN+zlul+Izn0LHst3/29vAyZPNZwcO7C0zt6Dvuh6nMNj2Ax67XqHrsgXBpgZhymXdZAqRGrqOdOzzUv3FWUBwn+e1MDa3zOfiNZ0ukxSlqZ7sjxlndiKUs2fjDU8qD1sXfR6kUM9lDqM1lXEc2o6+89r1rHm7FFdi1wiH0O7/jY0m02zq64bCKQzWHh9O9RKmRQ3ClCMlMuW6GvqxwlS8pEIb3/mUwmsKiDjlwCRFaakn+xsbu5k5t7fj62A8bLffvut9paLdR7Gey5oJbQeH/UW5ELJGOJZ2/6+tASdOpL1mDJzuF3t8ONVLEHLDxVtaEl8DPzScN1RIcBYL8tAlnJj7jtprCog45cA1pSswJdbWGg/pqVM0Bt7GRhPy+fjjzb6I3DCGbe3ev9B2TKX9rphQ8sXi6s82NujmvStj/T9U3xiGyh36jOt86arXWN+F9oEwP8TAmy4+gkA8pPXx3K37X/pJUTancmzkQUM5RJQSYBthlIYntcgVwhAju8F4Q7e3uz9fLptEQ1z6aay+KcpNdc3cDLXDLCuYeh8IdHAXpnMWTLFtT9133OfOVGmLPVugxgjVFCI3RZlXbj8o4rQAkwjfLZ1AZGxNVkwina0t4Pnnm9fNTX5eljEox6bUOA8lhYml9Nz1YSjMcyjJECUlsvr6lDuVUNixsTaJu7r2Y/Xpg5rmvxCHrC/lB5WgHAuBnqron+J89hF37WOHxjlHiDz1WlNgNcZfJC1SGGASorR0oo4xIywmkY4x9IG0xj4lqfYTLTXOXUlhqJJZ+baplBE/dt1cSYZyZPXtot3+sX1KSxM7T4baMZYkyacPSn93C4JB1pbG0bfONEYkiJc0L7Hzn8P9k0KYCvmYhCgt7Z0YM8JiEuksl42n9Bu/sR7vS6r9REuNczspDGUyK982lTLix66bK8lQ7v17DbWJJ5/6+grY9v2wXDY/ZvmCT9mlv7uFvIi3lA+pDHdb3E9ZkE5tHnMQlFSkSIIk5GESopSLd6KP0PpxzybaR6r9RDmMs1nnawxtivJ82jRkxNv75O7s0HpTzfW6wjVzknoO9Im52sSTT31jBPfaWhPBcd993ZEcLg8zSt/TQl44C9O5eEtTG+siBupiqnNevKZ7UUrdBeBnAVwL4P1a6/e0Plerz48AeB7Aj2qtf3/oXKXUCQD/PYAvr4r5aa31udVnPwXgxwC8COB/0Fp/ZKyOkxClwi61rNGqpZ5dlDSkh65thxaP7W0b6h07fbouj2GbUM8dB/HUVfe+9vjUN1Zwz2GNrUALZ2E6dWow0sVLmoepilEb8Zo2KKWuBfBeAG8GcAnAo0qpHa31p63D3gLgttXPnQDeB+BOh3P/tdb6f2ld77UA3gbgdQC+HcDHlFKv0Vq/OFRPEaUj1CaeQrwedhtNGTHtdalDbeGQNWB7Mw8fHhYCocmbahYZJmvskGDnID77aN8zLu1xIbbNNayxFQRXQvfgFGjgLkinwtzmt3hN8UYAF7XWTwKAUuohAHcDsEXp3QA+oLXWAB5RSr1cKfVKADc7nNvmbgAPaa0vA/gTpdTFVR1+d6iSIkpHqE08hYgGu41AfHtd6lCzuOGKLQDGxm4sWY3LNSjJ8fDHzhrrOu84PJSyw7KBvQ+PfNsjCFzg7i2dojjlbpTXIEg5z1lXpjSnfZi5ML0RwOesvy+h8YaOHXOjw7mbSqkfAfBxAP9Ua/1nq3Me6ShrEBGlI1CIJ7O1C+C+rUuoMRwiGrraGNPesTpwMPQ51aME7WQ19msJcjz8aa915lIv1zosl826TUNIe6iZ8z0kxMNdmALTWWc6Y2NcEF5i4sJ0TSn1cevvB7TWD6x+Vx3H69bffccMnfs+AD+z+vtnAPwrAP/A8XpXMTlRSm0kUXiGQvZwzGkMt9tItQ6xDw6Gfup6dIVEp0hA5FuXrutyCLHMIYxd22n3FwfBbq69XO6drxzGjcu9LAgpmYow5c6V2w+y95bW8CBljDnPZw6C9No/16nqsdBa39Hz2SUAr7L+PgjgC47H7Os7V2v9p+ZNpdS/AfDvPa53FZMRpcaQXC53BWAJI6lLALju4cjNGG5DZYByaVvKenSFRLskIEpBDcKBg8AytPurVL3s7wOzhvTAgfL3jQ2Xe1kQBCEXRjjXLE7nKEw5CNKCPArgNqXULQA+jyYJ0dtbx+ygCcV9CE147nNa62eUUl/uO1cp9Uqt9TOr8/8ugD+yyvp3SqkzaBId3Qbg98YqORlRagzJ48eBU6fKGUl9m8m7bO3SDtPjFhJHZYCmFiB9iZvs39fW0taj3Vdmv9k3vCH/3BTh0E2fB5lLf7W/SzgJd4NdpzGPvIT6CjUzRyO+BDV4Sw21e03nNKdnLkihtX5BKbUJ4CNotnV5UGv9mFLq3tXn9wM4h2Y7mItotoTZGDp3VfQppdR3ognN/SyAf7Q65zGl1IfQJEN6AcA7xzLvAhMSpSnWV4UYUb4GbZd3tB2mxwWORnEXfYmb7N9j2uEyL9p9deBA48E/dSq/QV7LuOWmz4Mc219U4svluyT2WpRCccwjX4PHXhCE8ogwzccchOncBalhtX/oudZ791u/awDvdD139f4PD1zv3QDe7VPHyYhSCsO7baCFGFG+9egKFeQYplcTY4mbYvs1ZF5w8b6lpiZvWKoxoRJfLt8lsdeiFIpj/WlvWXT6dB1zRBAEYQwRpnwRQVoXkxGlFLQNtBxCousaxhhdLKZjvKUSK13lDiVuovDQhMyLWryVfePkGppZek23D6nGJOZ7wzcENvY7ivI7bqw/zeenT4vHVKiTKRvv3KjJWwqIMOWGiNE6uaZ0BTixsbF3PaoxovqMw9Onm9cYhq5hRPL2dtw1OJCqLSX6aGjMuOI6X/v6c6yf7Qc6sWu6qe6tEsQ+fHHtZ/N57Fy0z6fu98WiWUt/4sTeMtvfs4IgCFOgJhHdxVSE3FTaMUfEU2rh4znJva9i7aRqS2i5NYWZjmHaMrTljOt87etP19DMrmv79nXNaw9j6+7Tz9RQ93vfVli1RA0IeaD2MKX2WE3No8SZ2rylQPz862tvLi9szfNbxGj9iCgNJCahkasImoLx1t7WgprQPqpZ+LQxbWlvOROyxVBff7qGZg7Vz9RrDCrhFRqKHHOd2Lq79PPGRpoHKtSC13UrLEGgwhj0tYdSCnXTN/9iBHZOsVqjMBVBOg1ElAbSNh7HDN0piSAfSreb+7YfFNgJZA4f3rv9DYf9Nn372vVBQ+g9l8IjmLOfU91TQ/0e+lDNZSssQaiNGo32527dX6XhXqO3FMgXyjt0nRjB6jrHXedUyvulxnktdCOilIgxQzFWBNUablpa/KXa9oMTdlvsNpXue0OqxF2h9xx1IqLc/VxiXEs/XBKEMWoULlOGUgTXKkxLExsxQCn27LKoBGoOMSrzLi8iSokYMxRjRVBOo5BSAJcWf1yEGTUhe6W6npcK6jkces+FzMmh7MI+IbUU/V/inprqfSRMgy7DUdaWlkP6hQ8cQ9mNmIyZJyJIp4lk3yXCNhRTZA5tZ6xMmaG0lqy/Ln1QY6ZcF0LGaLEA7rmnOW9ra/e9XJluY7KudtUz59i2swubvTZNfVzHo5Z7q81U7yOhfsRw5AulOOUmrGqC6z1y/ROXX/rxPSc1XPts6oinlJhc673MdZbLJrMlpeeLQ6ixSxlzDim0x8i1v7e3gY997Or3TB+mSqBjiPHwlR7rdnbh9l6brvfM0HGUXuzFYvfBw+amiElhmowZjhy9RHOj1rWsU4P7veDiPc01j0SQlkNEaQSp15cNGamm/OWS1lh3NYyHjqMQEC5lzDmksO2Zd93u5ctfBj75ycZjat4zr6WF3xClx7otqNv1cRXclFmKh+jbjoUTta6TFwSDhPDmRdaWxsFdmALda09zPtSQ+VUWEaURdBmRfUZniAE2ZKTayWOMp5QCV8N46LgQAdHuH5cySq9X5YLPdi833NB4S3d2dsMxTR+WFn5DcBvrFPUZ63+f7xBO27H01ZvzQxCBP67GYw2G+JToEuniLeVDTfdD7jkjgrQ8Ikoj8DHiQwywEsLMNwzRrK2zDc6QOrX7h5sIKc2QIPHpq6Hxje1z8XzFMdb/Pt8hnLZj6as354cgAm84GY/iLc2LeEvjqUmY5kLmFA+cEh0ppe5SSl1QSl1USr2r4/O/r5T61OrnPyil/hp9VcNImcjFJ/mHT5IXU2cgf3IR1zaZ43Z2aBK3xCTBaZMzeU+uelAkyEktGmtN4lML6+vAkSPNayhUc9KnnL57W5InCSGEGI9icJZHhLvAFfl+4MOoKFVKXQvgvQDeAuC1AO5RSr22ddifAPhbWuu/CuBnADxAXdEx+owkLoZylwFm19n+fazOpUWXfX1jcLazkfYd38eYgerTZi5jTlkPCtHuWp+Q+bVYNOGix4+L5ysVOzvAuXPNayg+c3JoHviU03dvl/4eE+qDq/EooakNY8KTSpiKly8ervdSbqQfeOESvvtGABe11k8CgFLqIQB3A/i0OUBr/R+s4x8BkP0bYyxErCvMtDR2nYG9WVDt16HzUoW4+iQy+omfGE62kyvxkYFLWCBlPSjCmV3rEzJeJrHOqVN095eEA++FYj5RLTmgqIusKRUMOcIJJWRREPYy93tCBCk/XETpjQA+Z/19CcCdA8f/GID/I6ZSIZjEHstlY8y21ze6ZijNSZdhZwzwsSyq7fOo8TVIh+qU25jmsh6VSz0MrvUJGa8Uc5KbaCktkinmE5f1x2PlC0Ib7gakrC11gyrpkawtpWGuwlTmDk+U1nr4AKV+CMD3a63/4ervHwbwRq31j3cc+18D+HkA/5XW+tmOz98B4B0AcNNNN73+qaeeim+BhRGep05dbTD5GJSljU9XUtYzVx/U0tdtaq13TXDrY/v7JfWerkIYSqlPaK3vKF2P2rD/N3/9Nd/0+sOv+JHsdRgyjCkNyFQGeA2CNGWYsW/7KeoiwoKOOQlT33nz61/8edL/K3/puoP6DXe8k6q4l/g/z/909f//XBIdXQLwKuvvgwC+0D5IKfVXAbwfwN1dghQAtNYPaK3v0FrfccMNN4TUd5ChdXeuSTUWC+DoUZqkMqnXS6VcOxmShCSkzVzWf/qScn2m0MAtEY79/UI5b7vmSG3zprb6Cnux/zfvu+YbSldnDyI86KhBOPswJyElCHPARZQ+CuA2pdQtSql9AN4GYE+qDaXUTQB+BcAPa63/E3013aAwYre3m2QiR47kSSoTA2XG2i58Dc2+Ng+Vk7oNXVAY0K71rlV0xzJFkWJ/v1DO2645Utu8qa2+Aj9yiM85e0lTEtJ+SXrEi7k8/JlLO2tldE2p1voFpdQmgI8AuBbAg1rrx5RS964+vx/A/wzgWwD8vFIKAF6o1YVsr3MKFbe5MpF2reuiCHk0ZSyXTfIaYPc65rP19SYLqH2dvjViQ2sDS6y7pFirmHJ9Zi5ShsdyWw9KDeW89V2jnZq+eTE0XzjPc6FexICkh2pNJwWyvlQQBBuXREfQWp8DcK713v3W7/8QwD+krVoZKIzNFJlIfa5Nlen2+PGrvUHms/PnG4+yfZ2+vuNmsOasD7dkRzYphSO3MedM1xwpOW/65gW3h0uCIJRn7l7iKTHXpEcCH5xEqeBHyW1oqDPd9nlE1teBw4fryoZr4FYfCkK8nimFo93H3BIWCcPY88IeO3nQIKTGNopr8XzVKMrEWyoIAkdc1pQKnhiDfGenf52Vy5q7kHV5FOtqzZq57e2rr23KP3Qo/DpTXG9YmpA1fbkSCaVabyjzKA32vLDHjlviKWG6iLioA26CXLx88Uz53pty26bCpDyl3DwyQ54Fl9DJkuvyUl47tmxu48wBzl6sVHWb+rpVDpSM+hDmSU2GIzdR5sMUvaWCINTNpESpr5GaWtwMhYm6GOolhQb1tSnDAEPFiO941yR+OYckp6obZyFORek5aMbO7NEK8J1ngiDkg1qQSxgvH2RtqVCKSYXvjm3T0A73KxVW6GpolgyXo742ZRhge5xdwzhNHe65Bzhxwv34Gra5mGMoK+Uc5dp/HOZgrmziglATNXtJDVNoQxciqIQ28qCiDiblKR3zyLQ9bKm8gV1bqQzVo6uMGrxzPlD2dXucXT2nGxu7WYM/9jHgwIHx4+1XzsSEsk51zvnAMRSYixgsmU1cEAR+pBKzlGG84jGNQ7ylQgkmJUrHaIsM6rDC9lYqfeuwQtea1iweUoaXuorHtTXg7Flga8v9+K46cxiH9n6x6+vN+y7ipV1/joIsNz4PIHzGP2aucBGDNT2cEQTBD18hmNq7Si1MY6lV2Nptr7UNwvyYnCgdMgJDhZGrYdneSqVvHVboWlMRD934jOvaWhO6G4MZh+Wy8bZSiFNf8dLeL/b8+UZw951rl586YoCaHA8BfOaQz30Yc8/mHJcU35uCMFWmGvYqXE0tWxQNCfBQr/FUvKXcx07YZXKiNEUYo2uZbeMtxKiMTY4kpMf0/3JJ95DAd97aWVGBRphub7tlct7YaOq+XDZznrvo4PQwxjek1veebX8HpWqveMsFQfAllxjnmI2XWziwr1iMEaah1+QApzETxpmcKO0yuF3pM8xcDMsuQUttVHIXD204hLmmwIzDYrHrKY3FV7zYc+Hs2d1+dil/ba2p9333ja+r5UDKTNCpQ2p979lc4rA2b7kgcGGKXlKOIpBjnUp6TSkEYayw5iZQRXBOj0mJUmNsAo3h6Gtw9xlmLoZlbZ6GHIKxtj7xgbr/Yh44uJxL4cU35H7YkGrtN7AbzuzaltTiLXX59lpk+zqpHnhN9cGUUB8cjOiamaIYDyWXOE0xZ6k8vu0yqOsqgnOeTEaULhbA0aNNGKNJNORr2MUYZmPGZEnjrOvaOQRjiIGdqp+oy609223MXK/9YYM9L8fa0h6r1NEKqcvPPXa1zxVBsJmyMOPomeRYJ5sUIb05Hp6kqHeIF5W78HypHV8sW485MRlRur3dCNIjR4DNzfzGvu92NDnpunaOcL0QAztVP1GXG9N/tRvqKeaOLf6AtKLdDr8eWx9ay1iFJGPLgYQFC0L9lBTjNQhTIE5glfDip1wjy11sjiFRFeWYjChtGz9dW7GUpKRx1nVtWzBy8NwZUvUTdbkpvercSeHNs8UfkG9dZXt9aPteqGWsQpOxUdH3HVLbOnhB6GPKXlIDdwHIGV+Rx0H4cEveVBoOYzJ3JiNKbeOnbyuWkpQ0zjh7cduk6idOxjGnupTCRfzZv/s+OHE5vuua7XuhlrEqLZ45fYcIgkAHBzFei1ge85pyFD0iTBs4js0cmYwoteGyv18t2NuLcPMwC3UQus8q0C3+2sLGV/S4HN8VLdBOAFQLpcVz7NY3giDwgKsA5FqvLmxxWoPYmbMwrWF85sQ1pSuQAmOg5TB2jPFrsv6mZrFohONiQVem6a8PfrBpy9YWr/qlKLNmOPaH732wseGXjMwcbx6cjLXdt3xT/52dfN8dteAy33y/c3N/bwpCDBy8hUJ91CR4aqprLFduP/jSj8CLSXpKc5I7bC40TC6XZyJFGJ+EBu6FY3+kvg+M6OkKzafYI7h0+CtnUsw36W+hJq5/4vJshGnbG8ml7bV4SWtmqh5TEZ/1MAtROiTIYsVa7rC5UGPOxbDc3Gz2do0xFFMYm3M1YPvmZrs/OIRC+t4HoULHZR1oCDnuYw7jFEKK+690uLEwP2JDKY0o4iDQUtEn/Oz3c7dfxGhecu3BSomIzukwC1E6ZLRy9DoNEWrMuRiWFIaiaxk+BvpcDdi+udnuj62tJovscgmcOJG1isGECp2uuVDLQ4vavmsMc73/BKELLp5DSnyEX2pxLiKUB6FeUxGIQgyzEKVDRmstBm0s3AzLWg30nEx5blLOR5eyOHgpS4wnh3YLAheoEs9MxWsaIwApvKciQHnTJUxFdAopmYUoHTJauYm1HHAwVGsSXBcuAMeOAWfOAIcO5buu69z0DbvmMP4p6Wofh4cg7fHMMQ4c2i0IU6VWrym1GHQRqCJA60REqJCTWYhSYS8cwj1rehhw7Bhw7lzz+8MPl61LF119OSR4UguV0qK3q32lH4KUEsox7S49joKQAuptOmrzmqYWhyI+BUEIRUTpDAgxLsUg3eXMmb2vNdB+8GCPZ2qBllJsuczLjY2m3ctlc/zaWtmHIIsFcPTo7oONnEI5pt0pxlG+V4Spwt1rKmJREATuiCidAW3j0iXcc6phfyFG8aFDdB7SUkZ5ezxTjmlKseUyL9fWmvl9333Na475O+aZPncOOHJkb5/kFsq+cy/FOE71e0WoC2pvqaHPa0ohCGXdpiAIMSil7gLwswCuBfB+rfV7Wp+r1edHADwP4Ee11r8/dK5S6jSAvwPgCoAnAGxorf+zUupmAJ8BcGFV/CNa63vH6iii1MLXaKvlqX/buHQxhjluO0JBaaO4ff3FovFqAs3DAqq+bT94iBUYXLIlu7YjV7iu6Zflctczbfrd9JNdl5L3ju/cTzGOpcOoBSEHKYSga5m2eBVBKggCACilrgXwXgBvBnAJwKNKqR2t9aetw94C4LbVz50A3gfgzpFzPwrgp7TWLyil/iWAnwLwk6vyntBaf6dPPUWUWvgabaUFjishxmX7nFraOkZpo7h9/e3tRswAtF699vjFCgzf8U/1EMO1Hbm8kKZfjh8HTp1qRGm7n7isny499wE+fSEIqbylpREhKghCB28EcFFr/SQAKKUeAnA3AFuU3g3gA1prDeARpdTLlVKvBHBz37la69+wzn8EwA/GVHISopTKAPY12jgYebkYamtNXtTSRnH7+mb9o/mdghTj4TLX7evmeIjBYd61vaCLhV8m5D5StK303BcEQRAEIRlrSqmPW38/oLV+YPX7jQA+Z312CY031KbrmBsdzwWAfwDgl6y/b1FKfRLAVwH8M63174w1YBKi1McANsbe+jqws7PX6PM12uZk5A21daj/OQgHzqyt0WdATiEIXea6fd0cD2zG2hk791zOp/ZIG0zbzp8Hzp4dr3+N91mNdRamxVS9pYIg8EX9+ZWr9n8lYqG1vqPvsh3vacdjRs9VSv1PAF4A8G9Xbz0D4Cat9bNKqdcD+FWl1Ou01l/trT0mIkp9DGDb2Gtnw/ShbVDFGFg+53I05Ib6n1vYb1//cexXIKxepTz4ba9h6vEea+fQ1kdDD6fa60SB/HN3Y2P3O2p72++BAIf7zIUa6ywIU8fFWC4t5BMZ9FdRup2CQMglAK+y/j4I4AuOx+wbOlcpdRTADwD4nlXoL7TWlwFcXv3+CaXUEwBeA8D25F7FJESpjwFsDNj1deDw4XDDvW1QxRhYPudyNOSG+r+EQArZo5NjvwJh9SrlwU993fa4Umx30vVwqr1OtER4/tpa4yE17e0i5zY/KaixzsL0EG9pg4/QGzp2rC9zCUoKZG4IE+JRALcppW4B8HkAbwPw9tYxOwA2V2tG7wTwnNb6GaXUl/vOXWXl/UkAf0tr/bwpSCl1A4CvaK1fVEp9B5rkSU+OVXISotQH25CNMaD7spqOGVhdgsnHOCttyPl67tbWdtcY5vJCDgm5vv6LGb+UXla7Xqmu41puaW9y17gO1Wlo66Ohh1NcsuWOiW7TH10Zf0PIPb5zWv4gCFyhFok1iU4XRJiWw2SSluRd8ayy424C+AiabV0e1Fo/ppS6d/X5/QDOodkO5iKaLWE2hs5dFb0FYD+AjzY7yry09ct3A/gXSqkXALwI4F6t9VfG6jk7UdqHr9gIXUvWZVj7GGelDbkQz11uL+SQwOzrv5jxS9k+u16nT6e5jmv9S3uTu8Z1qE5DYzr0cKr0PdZH+/vI9ENXxt+QckuGKwtCSeYoPKYmHlMyx/lRkvaevLLNEQ1a63NohKf93v3W7xrAO13PXb3/X/Qc/2EAH/at4yREKcUT/q71ZymM8NKezhgWi6Z/jh/3q3/uNg+Jiti50tWWXO3ru06KNvUdt1w2P4tFfi9i17jWfD/50v4+Mv0Rm/GXQ7iyIAjpESEajgjTtLSF6NhxIk6nySREaah4tI35LqgN3tLhj6516DvG7Kl56pRf/Tl5nmIfNHS1JVf7+q4Tm4XWZ+/PAweaa1HuqRoDp7mVmr7vo9g+CAlX5vBdJgiUTFl0iBilYcpzpBSuYnToPBGo02ESojRUPNrGfNf6sxBjLyTJTk5c6tB3zBREek7PWq72jbWJct51XWsok21KahJGFHVNJcBDyuXwXSYI1JQUHSHCcUpJhWphLsJ0SCzGisBQITpWnojT+pmEKA011lJsYRGSZIcKF8PXpQ6pPDLtepo1bK57MVJA3YahvvbZv3WsPJ/1zW3a4xkjkLqu5bvNEpWY5CqMutrHta6hUH2X1fRgQRBikaRC08D0+9TEqW8IrY2LIKQWo0Pli0Ctk0mI0lBSeB5CkuyM4Wq4uRi+LnVIHRJpr2E7csR9L0ZOuPT10Fxw2VLIHvcYUdMeT2qBNJTJFrh6/lJdn+t60q72ca3rEDEPQlyZmlgX6sfVEyaCUJiK15RCLA4J1dRitAvxntbJrEWpgeppfaqn/q6GW0nD16ft7XoOreuluF6Kcly8jz77t45llqUcW+p5MrbNUnv+Ul2f43rSvmRgHOs6Rg7BWKNYF6aPCE7BlakI0xSUEKNddRBhWg+TEaUxIoXK+HItp70Gb2wtnqvhVtLw9enDdj1DQj1zj1mbWO+jy5ZCKcLL+66Vkvb8rVGgGca+Z0KTgVHWgYocgrHmuSAIgiB0YwvBUuJUxGh9TEaUxogUKuPLtZz2GryxtXg1GG6pDNjUSZe4lWNTw7i7MNaOmtYVjn3P5BByuUJepzL/BEEQUlK7t5QqzLZPBOYWqCJG62UyojTGGKQyvlzLaa/B61uLF0NuQz/VetnUSZeo6t1VTi1iy6eeKdpU07rCse+ZHEJOQl4FQRB4UbswBRox5ysafQVgynWmIkbr55rSFaDCGIOcjX+DqeuhQ3tfU6xD3d7u/vzCBeCtb21eSzJWT67jOlZv12PGWCyA06ebVwq6yvOpZ0yb+tqysdGEu7qKLOo+8YHDfMxRh5J9LAiCUCNTWIvsIuyuf+LySz8x16ESkZRlCWWZjKc0JbV4vGzGvCnHju2GDD/8cJ46dVGr1ydmax0ffNcph2RodqmnvQ567FifawP+3sWaPKuUXLjQ3LdnzjQPslKSoo9r/B4VBEGYG13ezFSiL9RzKiJ0msxWlPoYSKmM4JRG2pihf+bM3tcc+Gao5WzE5tpax3ed8nIJHDjgFw7tUk+Ke4Dz+t0aGHuQRHm/pOjjuT5MEARhPkwhjNeQU/i5rjvNLUan4P2uidmKUh8DicJA6zIYSxpphw7l95D6tleMWP91ysvlcJ+FCmWKe6D0OuA+OD/8sBl7kER5v+Tew1kQBGEqTEmYliCnp7YPEaNlmK0o7TOQfL15rtgZd8+ebcp0NdJqMZrH8DVKxYh1x8zRxWLXU5qifK5w2BIqNWMPknLeL0P93fcZ9zkkCIIg8KFEiK6I0bLMVpT2GUhjBmqo8buxsbv1y/b2bqKSOXkMfY3SnEZsbuGf6npUfVbbgxAOW0KVJuf9MtTfU/m+EgRBCIVK3IjHNQ8iRnkwW1Hax5iBGmpwra01HlJj6FPWiQuUQia3KMptSJc03Pv61n6fOsFSqjobOGwJ1cZODrWzU4/Ad2Gov2v5vhIEQeCOLZZEoNIjYpQXIkpbjBmoJYzfWsLeKIVWbtGW25Auabj39a39vm+CpXZZ1IwlcuJ4j9gh+yZBEbc6hjLU3xzHQhAEoXZEoNIigpQfkxel1J4cMbh2afctpdDKLdpyj2vJedTXt/b7vgmWUo+TayKnMSi+D1zLMHVeXwcOHxbPoSAIgkCDCNRwRIzyZfKi1HWrDO6UWOM3ds22l4xSaHET/yn6v9S6zb6+Denz9jmp18rGJnKi8Oy6lmH3Dae5HENta40FQRCmjghUN0SM8mfyopTKw1KaEmsQxwQ9t7VjKQ3mFP2fY0yntjY39mGF7b08fTqsX1LN+xoEnyQxEgRB4IsI1KsRMVoPkxelqbfKiMHHCHUxhKmN2jFBz82bmdJgTiFENjaavl0um7FLIURqXZub2jMd0y+p5n0Ngo/bgyhBEAShm7nvlypitD4mKUpT7TVKjYsRarfFGNOu4bSxcBb0XfjsPetLivmzttb06333Na8p5ieHtbl2/wNuY5HaM11CXLlkEB56SMHBk8rxe1QQBEHoxgizuYhTEaJ1M0lRWoPHAXAzjO22AMPtGiovxqCtxRAN3Xt2iKF+oxAJ6+tNdtb19bDz2/XZ2mp+39xs6jQ0drlEjs8cNqTyTJvXmDnt22/m+OUSOHmyea9vTe/QQ4pS4d4+7eUgnAVBEIS9TN1rKmJ0GkxSlJYOMXMxzHwzeNpt6WvXkKEdatByMjJD6xIzH4b6jUIk7Ow024UcPkyzjY4RPS6e17bnMNU4+8xhQyrP9Po6cM89wF//603bQ0SW77ib448fB06d2tv2rgzWfd7SHN9rXW3zaW8tDwQFQRDmxtSEqQjR6TFJUVras9dnmIWsaWu3JbRdoQbtUD1rSaIT4y0c6jcKkUC9jc5y6VbeYtEce/x4/BrLMajmMAXHjgEf+1jzc8MNYSKrPWY+c6j9eVcG6z5vaY7vtaEHCC5ztPQDQUEQBKGfKQhTEaPTZZKilBpf8dVnmJVc0xZq0A7Vs9YkOjZjbRjqN6oQUMptdE6ccDvWeFVPnaLfY5Ybdl+fOQNcudJ4SkNFVnvcxzzOQ/MkVgRS01XXoW1/gL3tLf1AUBAEQRgmlzD1FY9DdRIhOg9ElDrgK776kr3YnqlcxlusN9PXoE5Jij4rJQBKhzm2281NTLTnbUxIfLuvP/pR9/vCpV/svqT4ruA2FkB/lAcg4bqCIAi1kTIBUqiAFOEpiCh1gEK4GM/UkSNXf1bb/pqGMeOZ03rUPkoJgNKeSY7Cx8bM2/PngbNn3eZx3zFdfU15X9h9WXpcUzEW5TG19gqCIMwBSq+piEohFhGlGBdPFAb8xkZjYJ8711yrL/xvKp5AIG27ahC8Q6QUhVR9U7KP2/eLyzzuO6arr8fKC82wSxmOzYmhzMVTbK8gCMJciBWmIkYFKq4pXQEOGPG0vZ3uGmtrjcennX0TaP7uer+PxQI4fbp5dbmuSaASi891Af92+ZBjzGqFqm/6yvGdByG07xeXeewz18eO9e3Dmuejy3i69G2OeSEIgiDQs+/xS17i0hwvglSgZFae0j7vh+0FSOkd6vOO+XrNSq1HpFgvR0WIB7gW72psPam84y4Ju1LOv5Ihxr59WHPYLtV4ll4nLQiCIMQx5jUVESqkZFaitM9oso3f06f5G1alDGBOhneIYKnFaI6tJ5WY6yuHch5wfVDg24fUAjpnv/huceNajiAIglAfXcJUxKiQg1mJ0ph1aZwo5UHinhxnjBRjm0I8xNQzh5hxmQeu9ajlQUEte/KGMLTFjXnfpf21fz8IgiAIDSJChRLMSpS6GE1iWMXB1fMFpBnbFOIhpp5cRJ5rPfoEOLd5NIU9eWOuTd1+buMrCIIgCEJZJilKhzZ3T3GN2HKnZKBxEUWxuI4JN886l/q41qNPgHObR1PYkzfm2tTt5za+giAIgiCUZZKiNMfm7pRGVWxZHEStqcP6evN3aVEUw2IBHD3abEcCDI8JN886l/rE1oNbqDWXfg1hsQC2tprfNzfd297uL8r2c3l4IgiCIAgCDya5Jcz6OnDkSPOaalsSynJjy+KwHcWpU00d/tE/6jf6c2wZQXGN7e1GkB45IkZzF2N9TDEGlFsZGWLvk9Jbngxdf+iz7W3g5Mnmp6vtfeem/F5JMb6CIAiCINTLJEXpzk4jKnZ2rs6sS2VQUu7bF2uguYrarvpQGdqf/GTz+lu/1Xhlusr1NXJD6kZhSJv+PHtWjOYuxvqYw0OSLmp/+DN0ffuz9n2zsQEcP978mG2v7M/7yk25z7AgCIIgCILNJMN3cyTqcKHkfo5doYpbW423ZLkETpygrePWFvADPwBcvNhfrm/IXkjdKMICa97ewxffui0WzfwxAqcLrqGZHEOKqa5v3ltfvzr0fG1t934Hrt72qq/cmkOWBUEQBEGoi0mK0hyJOlwocU0jMpbLRoAC7tlPY8TToUPA7/7u3gRTdvmAv5Eb0n85BKVvP3FO6uJbNxMKeuqU/9Yg1OI8t9gvLdKGrm8+O316PPS8fV+VbBfnBzaCIAiCIORjkqK0ixKGV+prdhl0RmQcP3516N3mJnDgQL9QbHtQfGm3d6iMWvY97BJtvkKutIdtCN+6xbSFWpxzFvup6bt/7PHhfF8Z5jyGgiAIgiDsMllRGvIEPtc5VIyFyLbrM2aM5hRPtRijXX3CWWQO0TVXfQVKjKCh7jcXL/8UPXFD2aF9xodD39R6LwmCIAiCQMskEx0BYUlJcp1DRVcikrW15m+T8MSHdsKlmCRIY+dSJ1FJlRm1KwmVb2Kq0glyuNSDOuOqXV5f20q3OQVU2aE59I1k4RUEQRAEAZiwpzTkCXyucwyxnoo+rwiVFzKmnLFzqUMIS3heXcePwhtEsba1XY+h833K5uxxm6InziVE17ccQRAEQRCEkkzWU+r6BN72sIU8tY950t/nqYj1+g15IX3KjvFm5t5OosT2FVtbzfhtbQ0fR+EN6porQ9uAuNTDdYuRNq5biuRmudzdjshA6f3nQt988m3bFPtGEARBEIQ6cRKlSqm7lFIXlFIXlVLv6vhcKaV+bvX5p5RS30Vf1TS0DeqchlmfkAox8l3FtU/ZMWIq5KFADL515W6Ad+012Z4r9nshDziGhHz7M7uc9rU47GdpsgKfPDk8t7kI6BTEtm3KfSMIgiAIcyZGy/Wdq5T6y0qpjyql/nj1+s3WZz+1Ov6CUur7Xeo4Gr6rlLoWwHsBvBnAJQCPKqV2tNaftg57C4DbVj93Anjf6pU97RC2nGGgfSGsIWF1rvXmFrJXKuFR6HXtUNWubMap6tc1V+z3+kJzh7YGctlipKs+pbYUGQoT3tho2mrXq4vc8z9naHNs21L3DYcwb0EQBEGYGzFabuTcdwH4Ta31e1Zi9V0AflIp9VoAbwPwOgDfDuBjSqnXaK1fHKqny5rSNwK4qLV+ctWwhwDcDcBuyN0APqC11gAeUUq9XCn1Sq31Mw7lF6VtUMcaZhSGV4iR71pvTttBAOVEcuh122IxVV/61q9PRHZtDRRbn1JzaOhBwtoacOLEeBm5696uc0phFtu21H1TS8ZtQRAEQZgYwVoOwM0D594N4PDq/LMAzgP4ydX7D2mtLwP4E6XUxVUdfneoki6i9EYAn7P+voSrvaBdx9wIgL0obRNrmJUyvLiJTRdKek5C+yuXiI4dT6pkOD71ST2e3Lz8LpSKxODolaxx/ARBEARhAsRouaFzv9U4ILXWzyilXmGV9UhHWYOoRhAPHKDUDwH4fq31P1z9/cMA3qi1/nHrmIcB/H+11v/36u/fBHCf1voTrbLeAeAdqz8PAbgwVkFH1gAwWR34spcBr/gW4EvPAi+8ULo2Foz6yPDt3wq88iDwzCXgC39aujYrGPYTSzr6ieV4lqbVT7m+H6obC6r77tVa6xsIypkVrf/NfwXAHxWsDgfk/4D0ASB9AEgfAMAhrfV1VIUppX4dTb9S8/UA/tz6+wGt9QOrawZrOQDf0XeuUuo/a61fbpXxZ1rrb1ZKvRfA72qt/7fV+78A4JzW+sNDDXDxlF4C8Crr74MAvhBwDFad84DDNb1QSn1ca30HdblTQvrIDeknN6Sf3JB+ckP6qSz2/2YZC+kDQPoAkD4ApA+Apg8oy9Na30VZniMxWm7fwLl/apZrrkJ9v+Rxvatwyb77KIDblFK3KKX2oVm4utM6ZgfAj6wyN/0NAM/VsJ5UEARBEARBEARhwsRouaFzdwAcXf1+FMCvWe+/TSm1Xyl1C5rkSb83VslRT6nW+gWl1CaAjwC4FsCDWuvHlFL3rj6/H8A5AEcAXATwPABZNSQIgiAIgiAIglCQGC3Xd+6q6PcA+JBS6scAPA3gh1bnPKaU+hCaZEgvAHjnWOZdwC18F1rrc6vK2u/db/2uAbzTpaxEkIcETxDpIzekn9yQfnJD+skN6Sc+yFhIHwDSB4D0ASB9AEykD2K0XNe5q/efBfA9Pee8G8C7feo4muhIEARBEARBEARBEFLhsqZUEARBEARBEARBEJJQjShVSt2llLqglLqolHpXx+dKKfVzq88/pZT6rhL1LI1DP/39Vf98Sin1H5RSf61EPUsz1k/WcW9QSr2olPrBnPXjgks/KaUOK6X+QCn1mFLqt3LXkQMO9931Sqn/XSn1H1f9NLt190qpB5VSX1JKdW43It/heZH/qfL/EpD/hYD8nwPkf5j8f2KC1pr9D5qFtU+g2StnH4D/COC1rWOOAPg/ACgAfwPA/1O63kz76W8C+ObV72+RfuruJ+u4/xNNHP0Plq43x34C8HI0C9lvWv39itL1ZtpPPw3gX65+vwHAVwDsK133zP303QC+C8Af9Xw+++/wjGMx+/+p8v9S/hd6zINJ/5+T/2Hy/4nLTy2e0jcCuKi1flJrfQXAQwDubh1zN4AP6IZHALxcNXvmzInRftJa/wet9Z+t/nwEzd5Bc8NlPgHAjwP4MHb3XZobLv30dgC/orV+GgC01nPsK5d+0gCuU0opAN+E5h/6C3mrWRat9W+jaXcf8h2eD/mfKv8vAflfCMj/OUD+h8n/JybUIkpvBPA56+9Lq/d8j5k6vn3wY2ie/MyN0X5SSt0I4O8CuB/zxWU+vQbANyulziulPqGU+pFsteODSz9tAfgv0Wwe/YcA/onW+i/yVK8a5Ds8H/I/Vf5fAvK/EJD/c4D8D3Nh6t+HLHDaEoYBquO9dtpgl2OmjnMfKKX+azT/ZP+rpDXiiUs//a8AflJr/WLzYHCWuPTTywC8Hk1K8G8A8LtKqUe01v8pdeUY4dJP3w/gDwD8bQC3AvioUup3tNZfTVy3mpDv8HzI/1T5fwnI/0JA/s8B8j/Mhal/H7KgFlF6CcCrrL8Ponla43vM1HHqA6XUXwXwfgBv0c0eQ3PDpZ/uAPDQ6p/wGoAjSqkXtNa/mqWGPHC97xZa6yWApVLqtwH8NQBT+Wftgks/bQB4j9ZaA7iolPoTALcD+L08VawC+Q7Ph/xPlf+XgPwvBOT/HCD/w1yY+vchC2oJ330UwG1KqVuUUvsAvA3ATuuYHQA/ssqQ9TcAPKe1fiZ3RQsz2k9KqZsA/AqAH57QUz5fRvtJa32L1vpmrfXNAH4ZwD+e0D9hV1zuu18D8Cal1MuUUt8I4E4An8lcz9K49NPTWG0wrZT6VgCHADyZtZb8ke/wfMj/VPl/Ccj/QkD+zwHyP8yFqX8fsqAKT6nW+gWl1CaAj6DJEvag1voxpdS9q8/vR5MV7giAiwCeR/NUZ1Y49tP/DOBbAPz86snnC1rrO0rVuQSO/TR7XPpJa/0ZpdSvA/gUgL8A8H6tdWdK9aniOJ9+BsAvKqX+EE0Y0E9qrRfFKl0ApdQHARwGsKaUugTgOICvA+Q7PDfyP1X+XwLyvxCQ/3OA/A8D5P8TF1TjiRcEQRAEQRAEQRCE/NQSvisIgiAIgiAIgiBMEBGlgiAIgiAIgiAIQjFElAqCIAiCIAiCIAjFEFEqCIIgCIIgCIIgFENEqSAIgiAIgiAIglAMEaWCIAiCIAiCIAhCMUSUCoIgCIIgCIIgCMUQUSoIgiAIgiAIgiAU4/8P1136DqtnEuYAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = runDisc(URand, 2500, 21, 10)\n", "pltDisc(s, 21)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 9.690e-03, Std: 1.947e-03\n" ] }, { "data": { "image/png": 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Xxtrk2k8ct2kpFS57xAqCIAiCME+qEqVDYYt93jsfcelrZFGGgnLCxsOYavuRIWyEDlfxH5qVmWO7KIVKysRGubx+qa4bc4/Y0r7XBEHwJ+Z60i623lJZTyoIZVCVKG2Nn27YomkIb24Cx4833rv2cxtCktVQhoJOkdJ4tvEwbmw0n6eqU00hgymzMqeCUqikbK+PmKaYiyV7G0uYj4IglI2E8QpCPVSVfbc1gra2rs46aWahbMNJ3/rWRmTaZvpsk9UcPOhuYKbMWJkqsydg366UdUp5rdj09W+MjMwpKTV762LRhKC363VtCJ2LYw/CYs2D0ueXIAjzQzyhglAHVYnSlq7ha75uBeqP/EgjMm0NxpCtM6gZMhypth6hJnbfmf3RXmuxqNO4rkl0l8TubvMwa3fX/pzQeT/2IMx2HriKTJtyRbgKgiDw5MCTl3JXQRC8qSp814ZWoLomgUmRrMb22KGQPqqtR6iJHcbX7Y+f//nGaI4V9pgzRLidr63oriFMuQR8wo5D5/3YNdttlqY8t6HrkinKFARhHqRcT9plKIy3VC9q25ZS6y8IPsxOlLbYGoymAAHcxUhfRtTQbSyGDEeOiUVSCLi+dsfsi5xGeTtvY4ruuWEzR3Osjxy7Zuu5ndpmKca6ZFtBLAiCkJIa15c+/5obRJgKs2EWojREGLUC5MIF4E1vajyRgP8elRTbWHQNR7N9rfDl4kVLIeD6DOmYIoJa8PrMz5QPIGpKHtVHiZ4/3+8KCmwFsSAIQmpqEKal118QfJmFKA0xOjc3G0G6t9eIUts1Yl2haJZn/jbxNSD79gY1sw3HFhRjooWj9zYU6mzJPtmgfeqQeiukUsRsiXM0Z2bbEvtLEIS45AzdrQkRpMKcmYUoDTGiNjaA8+fDw3bN8mLvB2j+TuEFGruGbAsxTpsN+tix+Ea+71zwvX9SiNmxY23LSTVHSxHpU4T0Vy19IAgCX1pvqYS9CkJZzEKUhhqdLue3Rle73srVq+pjqPXtDdq+TuHV6F6DQijMBbPvcuwry/F6LmJ27FhuYbnc6hObvnt9bn0gCHPhwJOXWHlLRZAKQnnMQpSm4uJF4L/4L4Ann2xeD6379E1w5EOKMM/uNUoSCkCYUKZ+oBATqvDw2NdzEbNjx3ILM+VWn9j0zZu59YEgCEJKLh85JNvCCMUiopSQEycaQXrkyLVGF0WCo1SECseShAIQ1l6fc01v+u5uOq+xb1hs6jFzEbNjx1IJfirvfsp1wBzomzcSzi8I9cLNWyoIQlmIKCXk7Nn93y4Jf7gZaqEiJIVQoCSkvbbnmuLCzOjcTXAUU4SEhMVOHc9ZPIXWzaXfqPuBY2SBLRzvdUEQBEEQeCKilJDDh4GHH+7/zDTQchjwLtecgzHZ7Q/f9o5tz2P2czcjMtB4So8ebV63561W7tsO2UIVFgtc207O4imm55/6WiHXFgRByI14SwVB8OW63BWYI63hurNT5jXbfVCXy/CychFrDIbK3dzc306oFbKHDze/u6LOdtshV9rruqwTHjr23LmmvufONa/N9nHDrJvP3HXpN+p+cLl2H217L16Md8/W8H0gCAIdsqbRH0nQJMwZ8ZRmIKb3Y8hTR3nNIW8Q5xDOLrHGYKjcKW9syiy8MeDsXTfrtr0d16MbEhFhe7xLue29+slPAo8+2njiT52ybo4VnL3kgiAIgiCUgXhKMxDq/RhjyFNHec0hb1AOD7AvscbAt9yYc6KPUO/W1lYzB7a2aOvVB6Unrp27iwVdmUP1c70fbI/vHjfWP217X/96uzr4wNlLLghCHsRbKgi8UErdpZS6qJR6Sin1Cz2fK6XUr6w//2Ol1BuMzx5USn1VKfUnnXP+Y6XUI0qpf7/+/T3r929VSv1/lVJ/uP6536aO4ildM+R9KMn7B6RZgzbkFYtx7dL6vxRCvVt9cyDWWFF64tp6U3pMh+rnmgTLdm/jbrlj/dO2d7kEbropzr7JnL3kgiDkQ9aXCgIPlFLXA/gggLcBuATgcaXUrtb6s8Zh7wBw+/rnTgAfWv8GgF8DcA7ARzpF/wKAf621vm8tdH8BwPvWnz2ttf4hl3qKKF0zZNiVFpo2ZCCmEHcxjNPS+r8ldn+Hlk/xACFVsqPNzSbsdLVqrknl7Td/xyjL9n5w7bduuTZtsalLimRbgiDEh9NelSJMBYEFbwbwlNb6GQBQSj0E4G4Apii9G8BHtNYawGNKqZcrpV6ptf6y1vp3lFK39pR7N4Cj67/PA7iAfVHqjITvrhkKQaslNI0itLYbJpgiwQll/6dMyNL29/Hjca4XOp4U4cLdOsS6VzY2gIMHG6FEFRpOGS4dWlZov1G1xSbZlu09JMmPBCEPrQAUIRgOF2EvCJZsKKU+Zfy8x/jsZgBfMF5fWr8Hx2O6fK/W+ssAsP79CuOz25RSf6CU+m2l1FtsGiCeUox7nWoJTXPd4qOP1mhdrRqRkMKjQtn/Kb2um5v7+5Du7MTb3qVdG5kjvLk7p2LeKzVvjZLzO8a8722SbdneQ6VGOAhCyXSFKBePaYne0rbfSqy7sA+Xe8Dkz1/8TnzsG2+YPtCZh5da6zsGPlQ972mPY2z5MoBbtNZfU0q9EcBvKqVep7X+xthJ4ilFv9eptif9U94UG89b69EBxj0qXPvOxSMV2oaNDeD8+fjbu+zu5ksu1Z1TMcc9dSKo0rEdC/O+t+njoXuoe71aIkwEoQQuHzk0KJy4CCpuwsCF1HWXbWFokKiBq7gE4FXG60MAvuRxTJf/oJR6JQCsf38VALTWL2itv7b++9MAngbw2qlKiqcU/V6YXE/6cyX2cVmXtlw2ntKhOnL1kth6pJbLJux2b6957duGFB4wCg84FdTjHqPuc0mc1R0Lqq2ihuZ093q1RJgIAndsDG4u3qJSvI59fZWr7iJQBSIeB3C7Uuo2AF8E8E4A7+4cswtga73e9E4Az7ehuSPsAjgO4L71798CAKXUTQC+rrV+USn1A2iSJz0zVUkRpeg3oHKFC3ZDZFMZzy5G5FQyJdssoilx3dtxbw84dixtG3wE09S4pQ5ZNn+H0tb9woXG60xxH3B9YELNYtH0W3svDrWbSjzWHF4tCFxxEUlchCl3xvqoFFEtiHe0i9b6ilJqC8AnAFwP4EGt9RNKqXvWn98PYA/AMQBPAfgWgG//R1dKfRRNQqMNpdQlACe11v8MjRj9daXUzwJ4FsBPrU/5UQD/RCl1BcCLAO7RWn99qp4iSgfI9aS/NepWq/I8tZwNfpe62ayti0GM/nMRC6FeROp7xndd7lg7XMWTb5/k9sju7jb9dvRo02+xRaN4RgUhHb4GNwdhWrqwK73+c4XD3M+N1noPjfA037vf+FsDeO/Aue8aeP9rAH685/2PA/i4ax1nJUqnDMXchiTQHyKbkhBhxMFbQhGmmPuBBGX/ubSF20OFdl1uO5622OzbCbgl9+qWdfEicOIEcPYscPiwWx1SkDIJlSAI6QgVRByMc67CzrZfuNZfaJCxKZdZidIpQzG3IWnSNSJTCWbTmHW9pqvhG6NNscMUY5J6zLvlc3io0MVn3GzbYc6VzU23hxknTuyvOX74Yf86xKKE+S4Igj2UhrYI03BKr78gcGRWonTKUOz7vE8Y5PCophLMpjG7vR33mpRtqmU9q0lI//h4AWsRMrbtMO9314cZZ89e/du3DlzhEDUiCDlohUZu0WYSQ/xwEKac8OmLmML0xqdfwPOvuSFK2TUzNh4y5/kzK1E6ZSj2fd5nrObwqMbwvEwZnrG9PZTlj41JbgPbZ74sl8264pMn/frH5ppj/Z+7z2ygXAPrOhcPH+73kNYCp6gRQZgzMb1xuY30GryNNbRBELgwK1FqYmvQ9hmrOULzYnhepgzP2N4eynDVsTGxNbAphFhfGT7zZWcHOH262evRpy4uW/y0mHUvQZRQ1rF0z2aX0LmcO/xYEHJgiovcgi2V0MndTg6iLrT9HNogyFrSGpitKLU1aPuM1ZgGbEoPVWtwLhZNqG5ur1iIyBgbE581hr7j21dGzHWRQ/hcs7vGMuT6XWLM61SZdEuhtIcKgiAIgIi6IWSPUmFuzFaUcjW6UxqTrXAZWjua2oiP5Z3xWWPoS7cM3z7M4bnrboVDef3uvKaYW651rFGoDQnR0LlcY18JwhSmOMq99iylUMvtLc1NaPtFUPNAHm6UT1Wi1MXQnTJoXY1mqhDRHGFzQ9dMbZjmDqGkuH63jJKM+5j9351judZlr1bNz3KZ11sa4yEW5UMFm++h2j3PwjzhJM7auszB0C5VUHCs89wfMgjlUpUo9U0o02dYuZZFFSKaQ5gNXTOFQK7dsJ372jxzfM05lmtd9sGD+/dfuw9wKcmvgPFtfCgftNl8D5X0wEUQSiaFYOMgZHIKU5/2cxSkc2dsDuWe38I0VYlS34QyfYaVa1kpQ0RTkUIgxzBsOQnd0D60aQun9nZpx/fCBeD8+f365fKKt/fdapVXUPl+D4Rs40N9r1Gs6eU8dwWBE6V6El0ppZ0l1HGulDKHhGupSpRSJpSJZTS7lFuCwcYxy2cpHhyfvUR9jwmthy+bm40g3dtrrpF7PNr7b7nc95RSYtuXvt8vIfcL9b1Gsaa3lHtVEDgQ29jm4C0F8oUt27a/BMHDZSy5IH1RBlWJUh9yr2Ns6TNmU25l4kuoUWn2P1U7TOObs7AP3UvU5ZjQeviysdF4SNsx4EKs+z72frkh9R46N9U9wmV7LUEombmtMwV4tZVTXYRhxFtaJtflroDQ0BqzOzv7721uNvtU2q5TPX68MTBjsFw2WXq75dvW0Ya+PvChNb43NobLHGpPSmz6zmxLl7YNwPAxVPUIYawNJhzGZAyb+o31JdX8piZVvfrmge3cEAThaubk+UnZ1jEhIyKnLOZ0j9TC7D2lqRnySvR5DFzWqcYOkexm+TTbQHU9H69J25+LBbC7a9evAI+wwdC+o2pDSD0ovWwcxmQMm/q57JfLxYsv3kpBKJMY3iCuYZ+5vaYlClKuY5mSube/NESUJmbIsA0VKG96U/MTy7A0DddY4sGnD9q6fPKTwKOPNglsTp2aLrMkQ9zlQUZqKOfCVHtyi7jQ/ua6XRB1KHPucRKEOTG3MMUU4rQr5ubUv4KQk6rDd3OFA45d1wzvGzvOpe47O8Dp0/t/x2ivGWYXO9zThbYur3+923klhQ0OhVdStSHkPqGcC1PtyR3+Sj1nON1HlOQeJ0GYGweevETqESpBhFG3eYgS+mKM0usvzIuqPaWxk474XNf0SmxvDx/n4kVJvc0Fx+RQAHDTTTwN/NQZil2vF+KxSzkXUnuGY29hwuU+ooaDB18Q5sjcvKZAPM/p3PpREDhQtSgdM45ihs7ZGmVjx7XvLRaNeB0zgmNvc8GV7hhSjGOMhxWhWZRtxUt7/mq17zmvae/c1CKO0xYm3EJix+pTq9gWhBKgEqalrUfMveaUM6WNpTBfqhalLklHUl3X9rj2szFvqu91p+BmAA9Ryh6ntvVsr71a7T9ccOn/9vyTJ93CQksQETnmJKctTM6dax40dNdM56KdaxcuNFv+cP6eEIS5QSlM2/JKQcSpIJRL1aJ0jBIMcWDYCM4VfuxLjPrGGENq0eHSbtswbJvER7WJhBweyr751fdeKQ9x+vCte4qM34Ig+EMZymuWU4pAnWMo8xjiLRVKYLaitBSGhNeUkR5iKKfyQHI05imErtkuFzFlG4YdK4MzZyjnJPW8SyGYt7bihOb71n1jo/GQmmu6x4i9PlcQhGuJ4TUsyXsqXtOrEWEqcEdE6ZrlsgmRAxoD0NZIymVYTRnpOZLXjPVFX325bIlBTXdPV/O3DVP9b1NmbQY/peCmnne+gtlljGI9cAgR+y514rQ+VxBiwlG0xdrP1CyfM+I1FYQyEFG6xtxW5eDBMGMrBRTChZqxdW999S0lwU6XKTHRDaOlnhc2ZdZg8PsIa5tzuHhdOYxRKu86p/W5ghALU/hw80rFFGYchXgXEaYN3OalIJhYiVKl1F0APgDgegAf1lrf1/n8RgD/PYBb1mX+t1rronap29xsxFT7dxebdXycKCGUk2sdp4TGlJhI2a7S5qULPqLN5pyh8Wn7crEAdnfthGaIsEw1Rhy85rbrcwWhVPoEDzcBEFuYcRenIkwFgTeTolQpdT2ADwJ4G4BLAB5XSu1qrT9rHPZeAJ/VWv/vlVI3AbiolPoftNaXo9Q6Ahsb41ktU3g1OBiPIfWJte4tNVNj3RUTPmImdl1rMPh9RFuI0DMzyu7tNe9NbeGzWjXZjmOHv4bAwSMrCHNlbsIU4C1ORZjym5OC0GLjKX0zgKe01s8AgFLqIQB3AzBFqQbwMqWUAvBdAL4O4ApxXbMyZOxSGnxcjMdWZD33XLMlje02FDUIIWBa2HTb6SpmKKnBIzrE2HwK3dO1D3Nv4KNHp/u0DVc/edLvIUSqh1B9c4TbAzBBKJkpkcNNBKQSZtza3SLCVBB4YiNKbwbwBeP1JQB3do45B2AXwJcAvAzA39Ja/yVJDRngmsDHF5+yYhiXrch661tpyksJRX+4CpspMRNTANTyIGCKbh/GeIBj9mVNHsy+OcLlAZgglI6tuOEm0OaemXbuwpTbfBQEwE6Uqp73dOf1TwD4QwB/A8BrADyilPpdrfU3ripIqfcAeA8A3HLLLc6V9YFCEIwZcJSiwKessbqF7EEIXB2OGlJeSob6I5Uw9Nm+JyUljGEf3T7k4CEODVfP2YYc+x8LfDH/N3/Hdd+VuTb1wlEIzFmczbntgsARG1F6CcCrjNeH0HhETTYB3Ke11gCeUkr9GYAjAH7fPEhr/QCABwDgjjvu6ArbKFAIAg4G8BBD6xtd98g0GRJZMcQVtRGcIsyaqk5dUggC336wrZtLG1yO7fYhBw9xaB1ytsF3/2OhTsz/zTe+9BVJ/jfXgAia8pmrMOX2cEQQADtR+jiA25VStwH4IoB3Anh355hnAfw4gN9VSn0vgMMAnqGs6Bgh4bU2hvFUtk5OWS1D98gcI4Y4pzaCh8Yq5YOF7rywFR8pBIFvP9jWzaUNLsdyEKF9xNq2JhecH8AJQg1w9JbOnbkKU0HgxqQo1VpfUUptAfgEmi1hHtRaP6GUumf9+f0AfhnAryml/i2acN/3aa2XEet9FSHhtSFCgKNXIeYemTGEQWwj2BQAvnV3FRG+8yKFIPAdQ9uHO4tFkxhrtWreG+uvEgRQ6PZAfXD83mjhKv4FoSZEmPJjTsJU5p7AFat9SrXWewD2Ou/db/z9JQBvp62aPSHGba5zY1GaURm7vhQCwKYMU7yY88JF0Pb1Rd92M22dUnraXB7uHDzY/H3w4Pg5JcxV1+2BbOD4veECZ0+vIAiCL3MSpoLAEStRyp0Q49bm3BjbT5RKaQYpRfi2jYjoipd2Xmxvh4nivu1mAH6etr4+KlV0mUw9YPD5Dgj5zpn6LAWcPb2CkIpQ8SLeUp7ULkxlzgmcqUKUxiZ2chjXY0MJuVZpBilF+LaNiBgSrqFesbHtZnKIPtsHNK5zI7fQGsJsV+gDBhfG5mWOe3AoEkAQKGnFgBjOaaldiLlSa3/IfSVwR0SpBbGTw7geG0rItSgMUk4ChMrAHhKulBlau6JvuWyEUsokO7HmKZeHHcslcO5c8/fW1tV9lFKMjV0rhygcigQQhFD6jP+5eBHn0s4SMcelRoEqCBwRUWqBS7idufbPxXjMafCGrnt0JaYAcRVdJYdg50iyE2uecvG+7ewAp083f3fXxPrOFZ8HAWPXyjFnbcaH08MmgT9i6DeIMOXP0PiUNIdljgklIKK0Bx/jqm/tn4tHwTQ0Yxt3Y9vIpDB2YwoQLh63FPg8XAjt+1iCyHXbpVj3yOZmkzm4/ZsCrnOS+mEU13YKfCjJiBeEKcaEnsx1QXBHRGkPPsZVa8C+5S3N78WC5vqbm/G9D6m9VDE9PVw8btTYJNmhWh+bEt8tV2IKoIMHae83rnOSeq0813YK+fEx0Dl7EKkFB+e2hlBjm2yxaXsq4TrncRDKompR6utN8TGuWmN/e7vxlB496m8sm9dP4X3gJlRCoGiL77xxPa8v5HvoPJt5UKIo8N1yJVZbY9xvXO8v6rXyXNsp5GHOnqLnX3MDbnz6BadzahWmwjAu4z3n+0mYD1WLUl8DM8S48jX0uoKmvX4uocE1c7APrttr+M4b1/OGQr77sJkHJYqCqXbFSiDlWx/uc90F3z4s8eGHkI65G8/Pv+aGb/92FaY5qTXjbC3IAwthDlQtSnMYT76GHjfvQ7c+Y8Y417VkbZ1Xq/3kNTbba/jOm77zxvptbLuXLiUKThtytGssw+5Ufc6da+bSagWcOhW1mmypdS4K/Cjde+gqTEtvryAIQgjX5a5ATFrjKZZHo92SY7kML2tzEzhzho/3oVufVrzt7EwfywVTcA7Vr6/uvvOmu6dlK0iH+q09/vDhuPO0hXK+5iakLW2G3dOn+8elZGKMcU3zRhBCie1NFG+lIAhzpWpPaWwoPYTcvA/d+ox5D3Ou4xwrb7UCTp681htmEqPfu4mqzN85ie3RThnaGrrXrm+G3a2t/URIsQjpxxhjHFpmTSHPwjhzF1Rt6G73vZLCeAVBEHJRnShNaQBRCI7Y9aUqP7ZopjamW2/YmTPpDWFzXnB62BBbIKcM4w5py8aGf+ht6Hja3I82/ZgyA65rmd26cQ3vF8qghpBWCeMVBEGYpjpRmtIAohAcLvUN2T/VpvycUBvTLuVRPxiIKURD6hpbIPvsm+oLJ7HvAlUWZW5r0E26dTPbI15ToVb6vKQh5BCmkuxIEIScVCdKOYVLjmFuBwLY1Tdk/9RU/eFrdFIb0y7lcRPuJSaVAob3Tb1wATh/XkQIQJdFeaicGKLP1XPbrVt3rTXX+SvwhYvnMESwSRivIAg5UUrdBeADAK4H8GGt9X2dz9X682MAvgXgZ7TWnxk7Vyn11wDcD+C7AHwOwN/WWn9j/dkvAvhZAC8C+Pta609M1bE6UcrBU2AyZCSmEpip+4OzaBoix4MMX+FZQsh4y+bm/nY3OzvlzIchbPtt7Diq+3GonBj3n4/ntqa9dAU7xMM2jYTxCoKQA6XU9QA+COBtAC4BeFwptau1/qxx2DsA3L7+uRPAhwDcOXHuhwH8Q631byul/i6AnwfwS0qpHwTwTgCvA/D9AB5VSr1Wa/3iWD2rE6XcGDISSxCYU/QZ32Pt4hq6l7pfl0vg+PHhvUljJ5XyFS5jW6n0sbHReEjbMS8d237L+WAmhugL8dy2mPc+p+8wQaCAOnTXRISpIAgEvBnAU1rrZwBAKfUQgLsBmKL0bgAf0VprAI8ppV6ulHolgFtHzj0M4HfW5z8C4BMAfmn9+UNa6xcA/JlS6ql1HX5vrJKzFqUpRNKQscZNYPrQZ3yPtatEL2oMdnYaQXrsWDzhOYavcGmTRwFNBlqbOnKe5333v82+slP91mb3Xa2a8jY24n7XdMvO0d9T15V7XwilFnHmE8ZbS9sFQcjGzQC+YLy+hMYbOnXMzRPn/gmABYDfAvBTAF5llPVYT1mjzFqUUhlKKcL1OLJYNOGZb3lLs1ZsyuAuNXSPWlB0s/OmxndOhmyl4kIqj3rf/T/2nWDbbxsbjWi/99598d4tl7KNJQi+Uu99QYgB1/Wl1CHYbXkiqAVhn29c+Q488pUjEUp+eEMp9SnjjQe01g+s/1Y9J+jO66Fjxs79uwB+RSn1jwHsArjscL1rmLUo9TWU5rblwZABvbu7H4I6FIpq0hr1y6WdiOUC9fiW+qAiZCsVF1LdT333v0sYqssDmO7vc+car/NqFd6nJQi+Uue8IMSC2/rSmGuCRZwKQhKWWus7Bj67hH0vJgAcAvAly2MODJ2rtX4SwNsBQCn1WgD/W4frXcNsRGmfMelrKHUNyhKMwhCm1sUuFsDRo/bt9xEdOdej1ji+MfqTqkwqYThF3/1PFYbaLSemKBPBJ+RGkhz5wUWYpho/EaeCkI3HAdyulLoNwBfRJCF6d+eYXQBb6zWjdwJ4Xmv9ZaXUc0PnKqVeobX+qlLqOgD/FzSZeNuy/rlS6iyaREe3A/j9qUrORpTG9L7UbBQul434Pnmyf5/Btt0u7fcReTm90TWOb4z+pCrTVxjmXCPuytZWE9pL9aDDbDsw3g9cE44JAmeGhFtokiMuwjQlIk4FIS1a6ytKqS00iYiuB/Cg1voJpdQ968/vB7CHZjuYp9BsCbM5du666Hcppd67/vs3AOysz3lCKfXraJIhXQHw3qnMu8CMRCmlt4vaoKRmzOh0Te7SJrc5c6b5jGKfQR+RF8tbOVcDPUZ/pvIoD10nxYOL2Fu6ANfOSZs5arYdGO+H2pcbCEJp5FxjmtPLLeJUENKhtd5DIzzN9+43/tYA3ts9b+jc9fsfQLN/ad857wfwfpc6zkaUUnq7uHvOxoxOm+QuphE8tTYuFbH63MVApxKwHIRwjP5MdV8MXSfl3Iw5ht05aTNHx9bH2hzrC4e5LAg14CJMqbylXMKuRZwKggBUIkrFMLqaMaPTJrlL1whOtTYuBy4Gep848Jl74qmKA8XctB3PmGM49ABosRhOENZtu8t61y4uczpkz1v5zq4DLsKGE998tcLLPj+ZaPIaUgpTjuMm4lQQ5k0VolSM/KsZMzptkrsMCbUchmTsa7oImW6/LJfA8eN2mYfHyqEkpL9cz61RWNh+l8Qcw6EkSRSh8za4fJ+G7Hkr39mCKyWtp/QVpingKEhNRJwKwjypQpSOGUapDeflssnOCzRrT0s01oeEGoUh6ToenIzXbr/s7DSC9NgxN6M8prc5pL9cz801Nq7rol2wFVk5IgZyr9ntI2TPW9trCAJX+pIcffPV6qq/XYVpbG8pd0FqUtJDCEEQwqlClI4ZRqkN5zYxENAkQ8otpCihMCRdx4PTA4cuZt24ZDkNGSPXc3ONjc26aF9iiU3X5GMp65bjOrUtAxCEITgJ05IEaYsIU0GYD1WI0jFSP5Hf3Gy2UEl1zZTCh8KQdBUyuR442PQr1Z6WFHUZq1Ms0ZNrbGzWRXPDNflYLeR+cCTEpUSRkwNOwrREam+fIAgN1YtSHyEVYkhtbACnTrmdE0JpBi2lkInpqaPoVyqhFFqXHHNksQAuXGh+U2OzLtqXWBmWXZOPlcTUllIlfT8JQixiC9MpUj5AaMOaKbe5Sb3O1OwvEcSCkIbqRakPpiG1ucn7SX/pBq2Ja1tieupC+5XSQxRSl+Wy8dyfPJl2juzuNuttjx6NK0aoPXFUIqpbTitM++qaM5SVov/G+qym7ydBmMJcTzr0eazkR2PexFiCtG9N7dDnlOI6pkjs6ysRqIKQBhGlPZiGFPcn/TWtzaJsS6gx7FKXPsOect6E9Eu7xvnMmWnRkVtIc9heh0pE9ZWT+rvEJula7IiAmr6fBMFkSpAN4SpMQ8N4qQSpb3v7zg8VqLGEqU1fSWZgQYiHiNIeTEOKy5N+WZt1LWN9ktIYbg37T34S+JEfaQQAl3njsw/rhQvA+fNh88zs/5h7f1L3M9W86Ssn9ZywSbpGUScRnkLtUHsaUwnTkHqHilDbsn0FKqUw9ekn8Z4KAj3X5a4Ad1qDy9dAXy6b/QWXy7B6tAb7zk5YOblw7Qeb47n0yeZmsy3Mo482ImBnJ3zeAPt9cPGi/xwyBcNUGW079vZo+9R2nDY3G4+uz/Y6JTyoSV3Xzc0mbHssdLuk/hN4kSvJUS3JlaZCfbu4ikSugrTvWu2PKxRzgaqM9kcQBH/EU0pM6xVaLJp1davVvrcixJvAxfPmS4w9MLn0ycZG41lsQyWp6mN6Lvf2mvd859C5c808XK2GE3G17Wi9mlSE7P1ZQ4SAbRuo25o66ZogzBlXkdmeE2ONaSmCdOjaLt7TEI9pDBFZkwdVQpWF1IgoJaYrJE6eHPf+5NqjMLWx3xUm3eu7ZCtt4RQ2aCsAXPq9bfti0SQMSiG+Y/Rp6JpYzmu6bbBtQw1tFQTBDRdhSpmNd6h8DriKU1fxlMqjKaJOENyoXpTmEl+mkOhe16xTqCHq64VJnWG4K0y67e7LVjrUHyV7z1zG2+yDUJGytdWsK8ztVXaFizc8BNs21NBWQZgD1OKNgzDlIkhNfMTplADMEWJbujiVfWKFVFQvSl1F35QHbwobIdEVhOZvV3y9MLkzDHfbbYr57e3x/i7ZoxRr/86peVpqaCwnb7gvtm2ooa3CPJC1c/TkFKYcBalJaAbi9v3clCROOfSXMD+qT3Tkmjylm5QlJJnOULIes06hiUa67bO5JnD1dX0SzITSbXf7end3ur9z1JeKdv/O3d3x41wTQ/nMUy6JolJBlXQsdpkUcK2XINSIz3rSmOXUiItw7goqbgKrxKRIpdVXKJPqPaWu3ochD56PABry6FF6RKbCYm2u2QrTEA+xK0PlT/V3Cd69MWznk6s32GeeptpLlAsxPOxcvfZc6yUIFNQcTmjrMaXylnL3kpq4eky5U5LnVBBSUL0odaUr3kIEZI41Yr7XHFvjGWPNqa9gt8kiyxnb+eQ6jj7z1OecksUOtQhfLoHnngPe+lb6cGzXunSR9alC7aQSpl1xk0LExcrK26UkQdoSO9lTDkoQp5zrJtRD9eG7U8QMc4u9B6BZ9/ZvwO+a3ZBY87VNmKdrP5YcgpsiNJLr/pE5xo2qv336dGzu7+w09Xr00elwbApcwq25zh+hDrgYqBy8YX0hty/ccjlKuV04ispvvlpd8yPYwWm/U/Me53K/C/Uze09pCs9PrJBHs+5AWDvGPMQ2XpdUHrQUWWSnxqtkb2EoLt5Vqnk/1N8pQonH5v7mZuOxNz+PWSfxfgrCtcT0mPp4SVtB+sItl3HDswei1IsbU8Kz+3moF7hGb2kXDt5TEaNCamYvSlMYerFETF/dY7TDRoi49qNvn6TIUDpVt1zioLT1nFTzfqi/UzwcGJpv7VhsbV09FjHrlCs773LZhM0D17Z36PiS5qlQPrnWmE6JMc7ClMLL6usFNc/zFahzEKZA3eunBaFLdaI0ZAuXWNePJWK6dW9DbReLJpwwpVEYmlCKE1N1yyUOSvPQUo3xUH/nnENDYxGrTqmEXt91dnaaddxAE6UwNfdKm6eCHweevMQizLCF2ngP8ZJ23/MVpqnWlrpAHY5L7UWtERGmwlyoTpTmNohiX3/MOG2vfeFCs+1IrDpQECrsYhrpOT1SY23iLOT7oOjHsT5xLZ9yzgyNRay5k+p7re86fWHKY5Q2T4V6SGm8u4izmB5TH4+hj5c01dpQFy/qXLylgAhTYR5UJ0qpDCJfA7bv+pQG5VhZ7TUXC+Do0bqNwtwPH2Iw1aZW8LSJf1Jt35MTyvWklHMm9YOL0O812/7qu87Gxn6m6+7c6yPXQx1BAGiM9xgeYM6hvEPkTlJk4ymekzAVhNqpTpRSGUSUax4pPQdjZZnX7tahNuFiCvDWSAbS7rVKje8epjUK9BbK9aQle/BCv9ds+6vvOuZ9VPNcE+rBVlTailff0N2+Y1yFKXUIr01bcotRV+YiTMVbKtRONaKUWoBQeyaoDDjfsmo1Jj/60f31bkDZYs0c27H53J2bLnO1NKFOuZ50zh68kO+z7p7FY+WUNr+EMLitK3XFt+4hoq1Ej2lOOK6rzYkIU6Fmqtmn1GUPPxtC9/kLrQ/1Xpi59gXttoOqXaah3LZrbK/V0hibP6a4ct2blvo+yYXsw5kO8z6a6neX+ZViv19BCCXGXqCu+5hOiWDKOnL0kpa6Z2ssSn4QJAhjVOMp9fEEcN5TkMrLZ7aRQ+KnGNuEmGM3tNdqacTaGzZVCGuse6t0T1yu+ofcd2P3Ubc9LvOrtEgGQQD6BZKryGzPSe0xTSXczP6gamPK9aVD/cQpRFg8pkKNVCNKfQQI5z0FqcRDbsPPJ9TUxnBPLThTi4kYe8PalhvKcgkcPx4nA3Tu+RxKrPqPzc/lssmee/Ik/cOIbntc5lfJa3yFfUoP4R0jtojjFspL4SXtCvT2Nad29mEz1tzEqghToTaqEKWUmXK5QCUeKNo41b8u23bYtIuj8OBYp5TC3OUe29lpBOmxY/T3Vo57NsVWMqGMzc92n9EzZ3hFhLSe1ZI938K8oPKSds+3EWxTnsIpL2EKgW37ecx9W128pVR9klOsijAVaqIKUUqZKdeGXCF4PtelEC5T/Ust2Dg+LOBQp5yhqy5jPBRaTQGlEG/7c7EAdneH65t6KxmfcR6bnzHnbqqswIKQmpRrFDl4TEOTN/keHyMb8ZgwTTmu7bVii1MRpkItVCFKUwuGXIaU63WpRMxU/1L3/9S2FDEE2VT5HNan5jTg+7bgCQ2tzr0+tO3PT34SePTRJsS13Y/TpITvl7E+5zB3h+DwsEcIhzKEt+Zw4DFshKlvJtpYQizUS2yW4SJOXfshdxKkFOJUhKlQA1WI0tI2sk913RAR47KlTez+91mj6Cp4SvDY5DTg2zHe3qbrp9x93vbjc881onQIDt8vuQV8DGpsk+APJ4O6T8S4hO7eeug5fO7STeT1ioWPl5RCkA6VR+E1zi1E+0jlORWEUqlClPbRNXgoDaBcngfX61LtTWgrAs+da/7e2qI1Mn3WKLrWP6SvUhnXHDxelMI4t5es7c/lErjpJj7eur5xzpEgKTa5H0oIPOgToyV7S2899Ny3f7sK09AwXp/ss66ClFqMjl1jrC9K3r80ljgVb6lQOtWK0lhbkZREiIjx8cqePt38ffAgbR931yjaGNKu9Q/pK4q5lVoc2F6vexylMOYgslPVI3R8cyRIsiGkXbkfSgi0uAhJjobzmGfNd71lDGGaK3Q1hRjtu2atwhSII05FmAolU60oHdqCxGZNnDBsqA8ZoZubzZq89u+YdbExpE0vWN94c8uoeu5cI+qH1jVSYytG5vgwJwah/RhLOIfO3bZdq1XzMCp1EjahLFyM5Vje0tQiLYfH1BZbsZ1DkJrXzp0EKjbmnKQQqCJMhVKpTpSaYqO73QD1mrg5MmRcb2zYiSkKMehiSA/VN3VGVW7Y9mFsb9Zc1hVy9QpOzd2p8Wnbs1rJ96owTA4DmUp8unhJ29DdvvdTCVMzhDe0D0LEaKp1taV7S7tQeU9FmAolUp0oNcUGcK2hxNU4zIWrKJjqv6nyKMSgiwgcqi+V55xKVG1t7XuaUmDbh7EFdypPbAzx61JmiQ8ugOnxMSMSUs5fgSdd72aoUezjLU2R4MZHrFGKNAohNiW2fQWpKczbv0PbXXsYbx8U4lSEqVAa1YnSPhFi/l2qcRgLV1Ew1X9T5aV+KDBU31DPeStIVqv9tbQh82qu85JyPoyJxBjit/TQZrO/gOGwfPP3VDntuXPxgAv9iCEsmJhC1VegzlGYUiDCVCiJ6kRp17hPnbyjNLpGZ+yELFTiK+YerGNld8XoyZPAmTNhompO860LpRgfE4kxHoaUHnUxFVUC2I1PX7+XLtgFP1qvJqUhXHIm3pxw3BIFoPOezgWfjMpdRJgKpVCdKKVgTgaVTxKhLn17mg4lGKKCaoxct99oPzPFaGj7OM23kgXykEiM1abSvdtTUSU2LJfNA5qTJ/vLKVWwC7xwEaY3Pv0CW0FWO0NraqeOtRWoc/WWzlWYUi4FEMpARGkPuQ2qnMLAJ1xvzFNy4QJw/jx9O2KO0VjZ3e1pYl+vZWhOUM8VTgLZlSGRWHKbYhIaVbJcAsePN3sInzlz9fwrXbAL4eQ0gqkS/Qxxw7MHnNdcpvQMlibKXQTqXIUpBSUJ0+5DqJLqLvhzXe4KpKL13C2X08e2BhWFke9y3ZbWiN7ZCb++DWYdbdrerd/m5rUhrJubwLFjjcFK3Y7Yon2sDyjnhkuZQ3OCeq70jSUFPvcBFbHalJucfQo0c25vr7nPa+tbgQbKsFsfg5Ry/8fU1L4NyhC3HnrOyeM6F6geNJQQCj9UxxLqLoQxG1GaWuiFXJfaiJ4yXl3r2K1fn6ja2Gg8pDHEQKyxzG3k99HWabHo70vquRJDdAO0Y+Y6Tq5t4jgP+sj1ndbSzr2pSIhS+lMII4XBODdhGguXbW5yMSZMp7zUJbTPhzkJ0yFKrrswzWzCd1Nl+aS4LvW6TN+MuEPtzL2dSKzQXY5hnrZbctiQKgS4D8oxiz1OHOdBH7mXGdjOvVL6U4gDddidT+KjkHWmL/u8rlbkcGdsG53QMN5UY8o1lLi9h7iFxNrc2xLKWy+zEaWhAsk03F2MrLHrptjTE/DPiMvVmCxN7IaQQsxRjnPogwybMqnHKXb5sQj5bklJKf0plENqYSpMEyvkNlSY5qatA5U4pUh6ZMJJ4Lnc05zqXQpKqbsAfADA9QA+rLW+r/O5Wn9+DMC3APyM1vozY+cqpf6fAA6vi3g5gP9Va/1DSqlbAfwpgIvrzx7TWt8zVcfZiNJQTMPd1sgKFZ1UxtyQ8Tq1vyBHYzKmsc0xOQtlnYbGk7sXs1sm9TjFLr9LCsHI6YGS2Z+cxLJAx5QxGcOALEmYyvYnYYwJ01KgTMBUozD1CcvlUO9SUEpdD+CDAN4G4BKAx5VSu1rrzxqHvQPA7eufOwF8CMCdY+dqrf+WcY3/G4DnjfKe1lr/kEs9RZRa0s26ShG21pa5WOyH6bbnuVzHle5em2b9unXObdAC/l7qVNjsa8rBCB+aTymEL7cyU5bfJcUc5vhACeB5/wrzQjymdTHlLeUE58zAOQVeyDpREabWvBnAU1rrZwBAKfUQgLsBmKL0bgAf0VprAI8ppV6ulHolgFunzl17Wf+PAP5GSCVnk+golG6yFJvkHVNJaNoyd3f3E5akSF5iGoZ9WXO5ZSo1+yRH/UISRbmOZ+lJYXJlJ+ZY/tBYppjDsftsjLE5zPH7RUhDjAQlvsZorORHVN68UkRWSkISH3Him69WJGHFMR6s5EgiRHFNSX5kxc0AvmC8vrR+z+YYm3PfAuA/aK3/vfHebUqpP1BK/bZS6i02lZy1pzTEi2XzxN/WA0Wxib0LY3ttcgxhtfFSx/RIhoRZu3qsOHmSOHl5S2RoLDncY1NjG+u7sV2zK/NKoMInjBco32PK2esWixrCeFsoxo86jBdI63mkFJMleUwvX35JrHm8oZT6lPH6Aa31A+u/+56EdCfg0DE2574LwEeN118GcIvW+mtKqTcC+E2l1Ou01t8Yrv7MRWlrPF24ML2tQRfK8DifTexDjEYORrELNvWNKeb6wqxtk/i49jWnsMtUArlW8ctpLFsuXgROnABe97pmLgP0Sc6m2s3pwYsQDofkJHMVplzgsK9oSWG8LRRJkEoVpjG8myUJ00gstdZ3DHx2CcCrjNeHAHzJ8pgDY+cqpV4C4L8E8Mb2Pa31CwBeWP/9aaXU0wBeC8AUzdcw6/Ddzc1m4/e9Pfdw2djhcdR7i3JmqK0uoaxUYYF91+wLs45FzrDLLotFc38sFnGv0zeXSw9jBniNZcuJE8333R/8wfj9EnI/TbVbQnjnTaxQu9ShvLYCiJtnj0NGWhve9n1P9r5fSxivCccxiRkSW2rZhfM4gNuVUrcppQ4AeCeA3c4xuwB+WjX8MIDntdZftjj3rQCe1Fp/+0tYKXXTOkESlFI/gCZ50jNTlZy1p3Rjo/GQtl6aMVJ7c1xCRqnqlrqNYwmXALqtd1wYuyZHz1dMdncbAXP0aFyPVl+/9o1DrR7VlJw9u//78OHh42JGU5QWqSHUj3hM+WCK0bd935N45CtHrjmmpjDelpBw3hjeUiCO5zGFaBSP6bVora8opbYAfALNti4Paq2fUErds/78fgB7aLaDeQrNljCbY+caxb8TV4fuAsCPAvgnSqkrAF4EcI/W+utT9Zy1KHUxclOHnLnsLbq9PV03m7ambmN7vZMn+z0nFCLQbHd7zbE+GLvm3IzpVCK8r19thargxuHDwMMPD3/u8p0oDwkEX7iF8QLjwvRln9fJvFmlhaBSMuQd7WNImJYYxtsSEs4bU5i2hN6zKb2YIkyvRWu9h0Z4mu/db/ytAbzX9lzjs5/pee/jAD7uWsdZi1IXIze1l8xFANnUzaat1CJwylAdS7gE0IhAs93AcB+Y9Q69Zi5jnfq6OUW4rVAVaOnuxxyyz7KI1vrhGCoXS5gKcRkSpEPe0jF8helU+G8qscs1iVX3vnIRfbky+4owLYtZiNLWOFosmpDE1khyMXI5e8ls6jaVrMe2nClyhNyOYZvZmNILl8ujx8mTGEOQcL4Ha8G8X1yzTnfHvHu+iFTBJKbBKMI0HaFJjmy8oz5hvEPCNGTdaUrR6iNMY3lLh7D1ouZ8eCXCtCysRKlS6i4AH0ATS/xhrfV9PcccBfBPAbwUTQaoHyOrZSBmlt29tfO5TcThauSWali1bbUJ9Q3BRuin7EPbzMaUXri+slK0OZcnsa9tnARyDkr/ngDclhAA14559/y5zwkhLSHClIra1j1S4xKu6ytMU9J3vRChWoIwbaEM8xXmy6QoXWdP+iCAt6FJF/y4UmpXa/1Z45iXA/hVAHdprZ9VSr0iUn0HGTMCTS/h0aNhRnvpCVhiC5fc27cAzXicO9f8vbVlNyaUXri+slIY5Dk8icslcPz41Q97AD6htrnuzRoEWOh2Rt3zucwJgQaqTe9jGrAchKkLpa6FdMVFjJZO6BpXrqG8Y3C758RbWg42ntI3A3hKa/0MACilHgJwN4DPGse8G8BvaK2fBQCt9VepKzrF1Ibt7XuhBmLpCVg4hEDGNk53dvaz+R48mL+9gH+buT/w2NlpBOmxY1e3LWSe2bTZtl9y3ZtzEWDdB0Bjfdw3J7jPbyE+IkznRYggLTUbb+tB9RWnrsI0l7dUEEKxEaU3A/iC8foSgDs7x7wWwEuVUhcAvAzAB7TWHyGpoSWpM4W2+yhubs7HAKViTLBQGKmbm802M+3fHPAVadwfeEwlq3JlyPPaxbZfUt2b3XlL9fCHu2gbegDE/aGBIMyR3PthUnhISxWmQNrMwCJMhRKxEaV932LdRzYvAfBGAD8O4D8C8HtKqce01v/uqoKUeg+A9wDALbfc4l7bEVJ5AIf21hQPQD+u/TBkpLqUs7EBnDrlXWVW5Hjg4drXlPfdkOe1i22/pPpeiCWuuIu2oQdA3B4aCOOY/5u/47rvylwbesRbKswNEaRCidiI0ksAXmW8PgTgSz3HLLXWKwArpdTvAPhrAK4SpVrrBwA8AAB33HFH1CD5WKJwam/N7nEAT2MyFa79MGSk5uzP7lzKmagpBRQPBnyx9bym7BebdscSV6Hlxh6zoQdA3B4aCOOY/5tvfOkrylrAxhhX752rJ63E9YaCkBpZT1oONqL0cQC3K6VuA/BFAO9Es4bU5LcAnFNKvQTAATThvf8dZUVdiZWQyNZoDjEma/KyuvbDkJGa06PSnUu1P3DI+WCAo0ixaXesepvljn0vDH3mOmZmOe35Pt9DHMdR4EkKg1G8pPH43KWbgreFEQRBACxEqdb6ilJqC8An0GwJ86DW+gml1D3rz+/XWv+pUupfAfhjAH+JZtuYP4lZ8SliJSSyNbZCjLIaRI9p3FK0IaeR251L1N6roX10c5HqwUApD1+4hJiOfS8MfdaG165WTX9P9bNZDlD+95AguEK9R2lsb6ktudeTAsAjXzkyq8y7Qv7QefGSloXVPqVa6z0Ae5337u+83gawTVe1MLqG9XLZGGYnT+Y3LqfgYgSHUIOwHiJUIA95Xrv76HKgKxxdvW0xk9ykErVcvH5j3wtDn21sNAmI7r3XLhN1Xzklfw8J8chtbKaEg6AbQkJ4Ba60gjDXd4UI0vK4LncFUtFmiTx4kLdXBtg3grnXc4zNzfE1tyZtJuPlcvy9qXNCGCuvFU87OzTX6vZN+/rsWfs+S4VP223PcZkjVHUrkXZuAsPfC2PfGS79bJbj8z1EfV8KdVOy0dhu82EyFMbqGt7aV3ZqXLy1XLLecg8jnss+tH2kvtdL/m6ZM1ae0hqI7X3MEYrIOfzRxbvU5zGb8qJRe2Lb8lar5sGF2afUc6fbN5T76FLjGv7ZnmP+HiLUA1lSREHIvRo616k93GPUHCEh1A916C4XOHl6JYQ3Phwy7/aJwlQeUxGk5VK9KKVe2ziErzEWktm1FgNwLGRwSHBQr+tsy1mtru1TF/G0XALnzjV/b23xe1jgimv4Z3tOivnIJazWhpB7NZX4pvg+KelBgTAPuIQYx1xbyiGEVxIeCS1jojC2MBVBWjbVi9JUws3XGAvJ7FqLAdi3/ndKmFOv62zLWy73PaW+5bb719qKuC4xPOAhZXKfZ5wjBlpC+tA2A28oFONc0oMCIS9iPAo+PPKVI7mrIAQSS5jKd0r5VC9KhwwtauPO1xgLyexaqwGY4kHCWGKYEAHQhrv2lW1LjPaHlMl1nrXjs1rtPwjgWE+Arg9j3huhdXTdsqaEhwnCOHNKdkQBl0y8ghCLXMJQBGkdVJ/oaChZB1WSFNeEPN3X3fq1oaQ7O/NNFhKaAMcGmyQuPnNkYwM4dar5CdkLl7r9Y2WWmpzGFGjcEkQBcfo1xb3hy9j90vfZXBJVCWUwtJ60bz0mh0REXYbWjYasJ3UVxLaCW7ydAqWIFEFaD9V7SoegCkl0TcgzdnxJnp+YcPHMxQxbHfMSxWj/WJm51iaHesrM8ek7/+JF4MSJJqvx4cNhdfUhRr/GujcovJauW9ZwDwsX4lGjEWm7ntLVWyq4UWP/uqwXzpnkyPW+lkgLoctsRSmVceeakGfs+NaIPXly2hsSakRK6Nw0McUxpyRVucRB7KyyW1vAo48Cly8DjzziV8cQShJdFPNxbDzMNdunTjXvbW3ln/tC3dRg8JYWwisJjwQXQoVpjQ+45sxsRSkVU4bx2PYfXaY8PyahRuTU+VOiNaaonYNgNseasr0+ZeXyTMcWba9/fSNKX//6OOX30e3/UkRXygy/oYnAhLLhaESm3gomljevm4WX01YwXWRrmLoIua99hSnH7xIhDBGlEfAVGS5GbKgROXW+KVrbNa5me6i2wJm6dq1GqznW29t07eXed+34LxbA7m7cBw/33gvcdFNaTyX3/h+CWkAP3ecUicAEXkgIXnxK85YK84JCHLp+j4ggrRMRpRFIYZgOGZG2gnjKCDVFa197qLbAmbo2Fb4PClJ4bSnbyyFkdKzP2vG/cAHY22veS32PxMAU24AIrrGHWm34riBwh7OnMRU3PHvAObGThPAKPtgKUxGk9TJLURpbaOQUBlSC2DTo+9pDtQXO1LWp8O2XmB7hFsr2cggZHeuzdtwXC+DoUV7iLeR7wRTb58/7f6/UEro+9VBLmCccjUnX0F2qzLuxtofphvByRkJ4acmR5Ij6np4Sphy/QwQ6qt8Spo/YWxHYbDfiy9Q2EzG2jKBsz1RZY+0L2WKj7ZfFwq0M3/6MOce4b+Ey1mft+B8+THuPUPRJyJhtbgLHjjXe35Axr2WbFPM+57yNjVAvKUOKOXoFc3t5a8uAK6RjSHiKIK2fWYrSko2kKaM1piBOgeteh7ZipO2X3V03o9+3P2POMe7CxabPqIV12yfHj9vvGdwlZMw2NhoPaeiY29aB+4MJk6H5UFIbBCEGHMVsDUi/piGmSOyWLYJ0HsxSlHIUbrYGGrXY4WYYjrWv7zNXgRbaf64iOFZ4eKkPVVqohbWNp5Lqgc7QHAgZ87ZMwK6MHA8mYj1I4PpwRbDHxmDkaFSmzrobim3ocG4vqSBQ0H5ncPzuEOIwyzWlHLFdd+WyZrC7Pq1vvRq39V42ex0C/ollQtdccugvDutGQ6Fed916Ktv53cdi0az5bOeMLzHmgOsWTTnWrVO3m0NSLkEYIpWwi7U9DCU+yY4Au4RHsq60TFIJRRGk80JEaQb6xGEMA61rRJ471+wRuFrtZ8As1TC0MZBjJI2Z6q9aEtXEJoawnipzd7fxpB49anftsW1NzN8UuGzR1HpSqfrPds7GeJBQ+sMVgSex1pNSJTkKrYNsDyN0SZnkSISiEIviRWmJIqBPUIV4QIfIlemWGl8RH8OjNbUVz2rVCH/Ka+agxPtqCldRNTR/cgjqmA+PXLy0Jc9pIR8cjViq0N05rF/0FeM2fePqJX3b9z2JR75yxOranDzQvg8SSsmkLAgUFC9KOYRTuhJqYNpuP9E1dLe2gIMHeXlFbcRPn4fXRhi49jPFliAnT5a/3hMo876awlVM5ogiGJqDMR8eddvZrUONc0FIB0dByg1uAsqEkyAVBKFuik90VGLSl9AkOH1JXWySkHBM8ESd7MTsB9f2hm4JcuZMI/y59bEN3flT4n1FTY77JcdWQt12duvgOxe4JVET4sJFfNqE7k55SfvWk3II3W1JVRdObTaxFbNz8GILQk0U7yktIfyUmr6kLr7eDF/vIFV4p403ysXDG+LVCfGMlT4Px9YsppwjNYYNu9A3B6n6xPbe6NbBd26Lh1VIKVRT7ks6B0IEKScvKWcv9BQSuivMjeJFKUdSGNatodh6I1yz0Lb4Go5UBufUGs22D22vMWdhGcJYv6WcI6UKGap7vu9hQLtOeSpcfwrbe4PqPig1iZpAQypBmlOM1uqJK0GQ2q4tBcoWpjakTHIkCDGpQpRy866kNKxDr+VrOMY2OH3blVpYcpt7U/isWTTH2qW9PnOk1OzGMbeJeetbm582XN+3/NT3xpwf8syVA09ewuUjh5IIUl8x6hO664qLYPIlVhbe2II0F23dcohTyZYsCHYUv6YU4LcJe8r1eKHX8l03F3u9Xeo1jWPr38Y+4zD3XNbu+dTXHGuX833miClk+tqUqr9d10PGmK/t2vFHHwV+5Edkja9QBrEF6eUjh5J7R7muraQmhSClDNv1KYuzcDaR0F1hjlThKbX1yNh4WSg8MSk9BLV6I1K3ayyj8ZgXbGjupfTouXjpQj3cqUIyh9rke33X8XD1fMbaJub8+Sb7NMDPOywIKaEQoqm8pO3v2N5SSkoTpCHUHs4bEy4JzYQ6qcJTauuRsfGymMf0eUuoMkpKZko6KPqyL6Ox+dmQl2po7tl69HzqHpIpN9TDnSoj7VCbfK/v6mHlkn14Y6NJ8nX6NJ9IEEFIResV5ZjEiNrj5lMelQeXmyD9ye/+DH7yuz9DXq5JKR7TKWQ9qVATVXhKbbHxspjH9HlLqNaOdcvhulYuFpSZWSnGpC+jsflZrEy+FMmAYnjpcs9H6ja5elg5RSCkWGebe7wFwSSHCB3yks4ldNeH2MLuJ7/7M/jYN94QrfwUHlOf9aQSuivMlSpFacgG9OYxfcYgVfhgt5xSs476MhYuO3UOQBPS2YVSiNiWFSMZEAVj8zG1gCktpJ6aqbpTfHfM7ftH4EssQToVuhuDEkJ4fUW3iyB19ZK6EtLPORMgCYJwNVWK0pjblYTu2bda7e+5GUNYlcLmZiNIxzKKTgn5lpoFB3BtP9i2N0TMbW42c3W1asqh9ky7ULpgii3iKb475vb9I/CEY5iuCznWTIZk4S1BkMb2lrbIOlNByE+VopSjgdXWZbXqN7BLE1YUhvab3tT8DI1TijBVznT3qQTS7SXbrmW8997md98DlMWiWdsa22PK8X52wXccbO8xivvCtwwJ+xWoyClIXUN3a1iPWIIgdYHCK81BmLqE7sp6UqE2qhOlppEEAKdOAd/6FvCd3wlsbYUZTiEGWGv0LZf7ntKSCfVe7ew0QuvMmeG+LF2MhNL28cmTfkl3YmXabefy9nYaD2bpDyN8xyGnh9j2u650L7YwD3KE7nImhSClJJW3FOAhTAVhrlQnSk0jyfQwAdd6fPoYM8aoEurUYLyl2Fqklr7yxewjn4cpof03dX5NDw1ievx8xyFFgqMhbL/rbOaAeFOFKTh6SalIsa7UJYQ3VeImai+pjTCl6msqYeobVi0Ic6WKLWFM+rZy+LEfa7xNNsbz2NYRXLaJ4IDP1hzmViYpthYpfdudVNuvmLj0WY76xaLvvs89f6b613Wbmxabdtl+15mCe6hM33oK8yC2IPX1ktYcuusD17DdWOQYZ8m6K8yd6kSpachtbTWG1cc+1oTx2hjPPntS+jJlHNa2J2pq4zTF9bj0bUtofeYqIPruey59MTSmvg/JbNrl+l0nD/MEH3InNqL0klIkOYothEpfR2pzPGWyqbk+gBCEXBQfvjsWGuYTNpcyZHQqRC4kXNjsF6pyQsV47HBP22y9lIT07cWLwIkTwNmzwOHD+esD1BWS60Lffc+lL4bGNFZYsA9jZc49DF8QOITwchOkQhg5khwdePJS8msK86J4URor0UaKdVBTxmGI8Wj2C1U5uTJ82pIjW69r35rz6sSJZkscAHj44Tz16SICYh8ufeEypt1Eb777NbvSPgSStaOCLSm8pNShu6XCUZD6hu2mXFuaEgndFWKjlLoLwAcAXA/gw1rr+zqfq/XnxwB8C8DPaK0/M3WuUurvAdgCcAXAw1rre9fv/yKAnwXwIoC/r7X+xFQdixelsbwZFGJsSthOGYchxmM3SQ5FOTEJfQiwXDaJrWzXDlPh2rfmvPqlXwKeeab5Hbs+HJLNcKhDibjMMXN+AbKfrMCT3GG7gF/obonhnDUJ0pKQJEcCJ5RS1wP4IIC3AbgE4HGl1K7W+rPGYe8AcPv6504AHwJw59i5Sqm/DuBuAH9Va/2CUuoV6+v9IIB3AngdgO8H8KhS6rVa6xfH6ln8mtJYyVYo1kFRrUnzWSfY1y9U5cRgqq+m6t5uMXPwIG/BY86r3/1d4Mknm9+x8ZmL1Otl2zocP85nDS5HQvrdnF+p13LK2lHBhlSClNs2MClCW7sCtFZBmnptqSBUwJsBPKW1fkZrfRnAQ2jEpMndAD6iGx4D8HKl1Csnzv2vAdyntX4BALTWXzXKekhr/YLW+s8APLUuZ5TiPaVj+HpmuiFw29t+3h0qLyOVB6ItZ7Xa3yuVi4Cb6qupPkjh0aXw9Jler5RrFn2uRen5aj3Zb31rE7K8syPetCFC+r3rVU3Zx1zCnQW+cPCQAvTbwIgAEkJwDd3NsZ5UKIINpdSnjNcPaK0fWP99M4AvGJ9dQuMNNek75uaJc18L4C1KqfcD+AsA/1Br/fj6nMd6yhqlalHqa9xRhcBRGWm2+xUuFsDu7rBoas9frfiF2YXuiZnCIKYOT0xpxE9dq09w+65l7Jt7rSf75Eng7W8Xb9oYXBIsdZHwayEELoIUaEQApTB95CtHJoVpaWscBUGIg7qsYoV3L7XWdwxdtue97tOQoWPGzn0JgO8B8MMA3gTg15VSP2B5vWuoWpT6Gnd95+U0EKcERSuWLlzYT5zTd3xbznLZeEoXCzsvMAdjlMNaSa5igYI+we27lnHKky2CZhyXfk81/5fLJux6b49npIXAF05iNJTPXbqJ9brSrqF7w7MHqkvaVAIx15PO3Uvq830iWYMBNJ7KVxmvDwH4kuUxB0bOvQTgN7TWGsDvK6X+EsCG5fWuofg1pWP4roc0jULf8N+Ue1e2a7nOnnXb8H53d3+d4ViduezX2EeOun3ta7z2JqUgdD3g1Pmp1ib7wm2/WVtSzf+dnUaQHjvWvOb6fSDwoiZBGoKtl/Rzl26KXJP8TGXOTVUGF1xCd+cmSC8fOXTNj285Ah4HcLtS6jal1AE0SYh2O8fsAvhp1fDDAJ7XWn954tzfBPA3AEAp9Vo0Ana5/vydSqkblFK3oUme9PtTlazaUxqKTbhmn6cidRZKU0S7XM/0Xo3VmbOHMGXdbD3SJRIaSsxlPaGr57A9frVqwouB/XbE9EJSld2d/7Hq3L1O6ykVhCFKNgR9PIw2IbwxkWyvVyPh0oKwj9b6ilJqC8An0Gzr8qDW+gml1D3rz+8HsIdmO5in0GwJszl27rroBwE8qJT6EwCXARxfe02fUEr9OoDPotkq5r1TmXcBEaWj2AiePjHHWcSZ2Cbd4SI4+khZt7ZvFgvg6FH+49vSJ1Q4hGTHwOWBkBmSevLktZ7emA+XqMruzv9YW1lRJ1Cqdf4J5YhR33WlsUJ4Y3lJJYS3DuboJRVo0VrvoRGe5nv3G39rAO+1PXf9/mUA/9XAOe8H8H6XOoooHcFG8PSJuVChlMNgs6nzHA3JbptNEV9KX/QJlVr3lHR5IGSGpG5tXTuOm5uNB3W1auZBTM8jFYtF48lfLPzLSDE3ap1/gtAlhceO2kvKfe1sKnweFLiMhW3orq8gPfDkJRF3ay4fOSRrSwug6jWlKYixVo7rGk4Oe12mZqjNvmOUoz/61nvm2lMydvvNBwdT12n74Pz5/vt3Y6MJUz19mv5etP3ecO2v3d1GaO92V4o4lJdibsiepnUydwOYa8iohPaWS4ggNX+XxNy/R+ZM8Z7SGr13qcJ/bfvO3HLGtV7mOswh458zQ2PhO0Y5PER9XnCfLWIoSLVXrk0/+0ZCpMR1voTu9wukCYnnvCRAEACasFdJcERPTUmOUlGSxzRmPcVbyp/iRWnpYWA267dsz3PFViCE9PHm5n5ioJ2d8sZoaCx8jercIseWWPdVqr1yqfqZSjy5PgBqj3NtR+h+v4LgSylGLwWcwltL9IJ+7BtvwE9+92dyV4Mc6tDdUC9p97053aNCmRQvSmMaWWOGJJUnydf4pxANtgIhpI83NhoPadtXOeHgVS/FQxQrq2t3r9xYc4Kyn33a3j3H9n7tHkc9X0qZf4KQAt9kR2O0WXi5hfLOKeERRd+X6r0e8wRyF6ac6yakoXhRGtPIGjMkqTxJU4JvyCCmEOO2AiH3diG5HwBwxHfrE9vjQ7O6LpfAuXPN331JhEoSRz7zpnuO7f0qnkyhRDgakzc+/QKef80NQWX4CjkXURQifjh4SXNvhVMrPl5Sm9BUrsI0VZ0khJc3xYvSmIwZiCnCA80tK4Crj6NcE8hdIKR6AGDCwas6hmufhPah63zf2dnf9/PgQd7zq2VISPvc632Ze236gPu9KAhCA6cQXqEsbLPuxoKrMBUEEaUjjBmIsYxHUwyZW1aUkFAnFjnWB3LvP9c+6Ts+5oOLVpQBTYKs7W2+Ar9lSEj73Ott5t577+UjymN714V5IsZtHny8pHMK4Q0h9lYwMSjZ+yffIUKLiFJmmGLIFBIuyVG655ZOCu/RUIKZ3IJqSBi49knf8TGF98YGcOpU8/f2Nv11QgXT0D3TCmmK+4bbPZjauy4IJRBjXaktnNctcvQEzyXzrmvoro8g5eItzVEHCeHli4hSZnSFqE2I7mq17+EJ8e64UJsXZSjBTAxB5cK5c83Yrlb7Io8KF9F08SJw4gRw9ixw+HC867RMza9QwdR3vimkKeAWikvhXRcEEw5GbWzGvIu5hFturxwFsTLwcksw1YU6dDdEXHERpoLQcl3uCgj7uAo907BOvRF9e+2dnf7Pl8tG0C2X6eoUwuZmfx8OvV8DrWiymWsnTjSh5CdO0Fxnan5Mza/QcSlhXKnvIZfxNo8H/OtR2veAIKQil5e0BkFbM77bwPiS02MogljoIp5SRrh6f2zDe2Mw5UUpLfSPej9SKra24m6d0kffw5GzZ6/+PXasDVPzY2x+UXjpc4+ryVB7Ut5DY30aUo/SvgcEe8SgFGqkpPWkVIIyh8c09/eHhPDyRESpB75G8dR5ruFyOQ3rqWvnDP2rKbQ4xxj3CYnDh4GHHx4+drXaF882fT41P8baXZvQGWpPrL1i+8oa69OQe1lCgIXaSR3CK57OcpkK3XXxklILKo6hvN0tnVJ7kYX0VBu+GzNsbCq00Pc81/A6zlC3xWU8u/3MPYQwZv18ynYJbW2PBdzuiZD50a0f9/GdYqi/u33k+73TR7essTEPGauavtOEfbgZr6FMiQVqIZg7wZEI27KJ5eFL5Tn0/f54/jU3BO89TFEPIR7VekpjelN8n/6L18Afl/Hs9jN3z1rM+vmU7eKdbY9dLvvDjIf2/hx63weXNnL0otv2N+X3R7csTuHMgiD0M2cxaZN5N0eSI9sxyb03KRdsheCY+Gw/E89pfVQrSocMuJzr0dqtRrgZxSXgss9md3xyPwzwCdumEk+p2j50Twzt/Tn0vg1dEerSRu4PKMagFI4iQgVfxLtwLdy2T8m5zY0LsTLw+pLTg20rsGJ7MzmE8dp6Q83jRKDWQbWidMjoirnFxhhj27cI04Tss5nbAJ+qZ8w9RHO3fWjvz6H3bcS4KUKnjh/afzaWSOfoiRWEOUIZ5geMbw3jgq/wofaS2rSHm9iOza2HnsseWs2ZVqz6CuOYYvf519wgwrQCqhWl3GhFxsmT+2u3xIANg1pgxBqPtn6LRbP20aZ8irZxmF9De38OvW8jxrtblfQdP/QQKESk2/RnyZ5YQRD48sItl2cdvpsKV2GaelxiZ421EY4+4pQibFeon2oTHQ2xtdWIwq2ttNdtE4lsbe0bx6GJS0pP8BIKRRIVsw+pEyS15wNNPXd37cebom2UiXFS4bp/6NDxIXv4Do27TX+WsP9pCHP/zhGEEGr1wuVYy8kJGw/6VDi1ixiL5XF0LffykUPf/qEgVJCKoC2f2XlKc4Uz9l031BtWo1cmpXdvuQSOHwf29prX1AmSQtY+UhDzeu04LRaN2KYaL9f7c+j4kD18bbdo6cLBMx2bGr9zhPrIYZzOLdS1ZkoI46X2mIYKyzHvae41qmPIfqW8mJ0o5USoQM6dwGeIEOPcNHpjJ4Xa2WkE6bFj+9egTJAUO8PpVD/HeADTDYu9cGFf1NteK4V4C2n70LhPlTkHwRZ6T8xBuAtCbkpIcsSdGGG833y1Is3CSyGoqAWjWZ5L0iSqB0mytrRsZhe+6wvHsDWuewCGhI2a4Y9D5QyNhesYtdc6f35c1IVmaY41Prb9TDl3u2GxZ8+6h6vmDiue6g/fcas5dLcbiu47p3OPvSDkgsLzRpFoKUZZIdhs9ZILV893aJ/6CLMQURnbgynrSAVXxFNqSclekNTeCVdvSrd+bf8OlTM0Fq5jlDszbSi2W8lQzt2+sNi+BEO22XND8Znbse5l7vOJKoKhxugOgQ+uBqp4RYS54+Mx5RxSG4p4S8ulKlEaU3zlMqaWy2YbG6BJkmS2y7a9qQW1q3E+VD+b9YI279eK7VYylP3iEsI6FH5NKd585vbc5klLyPcAVZ9xF+5CXnw8JiV4WbivTxSGoQ7jpQ7hbXERppwEaQn3r5COqkQptfga8uDFYEhg7uzsb2lx8KCfZ5C7Ee5av6GxEIO3vy+p+sXVC0p1P45d12dulz5PfB++hXwPtH3WhvHKmlCBmhqMU0l2JIQS4uWzEaZzEaTiLS2TqtaUUq/pmlr/FGOtXvdam5vN3qYnT/Z7Bm3ay3XtacvGxr6I8elL13HgsD44Vh1ijrXNekDz+lT349h1uc/tKXzmge+6zLluMyTwpwZBOgS1l5TLWtA5Qb22NGYiqiHRSbl1iyDEoipPKbUHZMqzEGutnsnGBnDqVP85pXt8TEKy7rqOA4f1wRzq4AqVR7vF1uPXvW5NGVx95sFi0WQ9Xiyu7ou2vJj9wj3qQigPDoLUViTc8OwBEYUDPPKVI3jb9z2ZuxpssMnGG4uux5SjGE1x34u3tDyqEqXUTBnVKdfqDVGLgR4S9uk6DiHjRtXfnIz7qTaZn1MKaNtx7t4bY+eVdj/4zIPd3WYbnqNHm9dtX5h/x3rQUdODMCE/HARpTGQtaT2k3LuUQkxxFKIttd/3gj8iSgOwMdBiG8mcPW4ubbfJumtzbozjTc6da9b4rlbDHmzfOriIQ8q5NDWHYs0xX2E+dl7s+4F6DHzmYl/7h/4WBK6IYSq0fOwbb8BPfvdnRj/nAGXSo1gJj7iT+r4Xb2lZVLWm1IfQtX1T58deg8V5b8SYa99yrwv91rfo17FO9VesuTQ1h2LNMd81jmPnxb4fOKypNNdgA/t9Ufr6WkGogVa0iJdUEATBjdl7SkM9K1Pn+3iDfD2MIeXEIHS/0rHjjh9vQhiBtB7ira0mC/JqRb+Odaq/YoX8TnnrOIZsDs2V2HXlEnZN6RHO/T0hzA/xkoaRc73i3KHeImaIGj18ct8LU8xelIYamVPnm16NWIl7Ypfji+9+pRcuAOfPD/fVzk4jSI8dSy8OzK0xDh6kXcdq9lefUJj7umOTXHObi0CnFMcx+7LGuSeEMQfDVLykgg3cQ3i792qISJ7DfS+EM3tRGmpk2pwfO3FP7HKoGTJUNzcbQbq313xu41HMZejGXsdKKRRyP5wYY2guTImZWF74mFBmyqUUxzG/JzjPPSE9YpgKNZAy6VEOhu5T8/2SvLg1ep1rZfaiNAUhiXtCjGkuXp0uQ4bqxkbjITUN9z64tosSSqHA9eEEMDwXpsRMTpE/xXLZJMQCgHe9q8mW280qDfARazHvp3bOLRbNmupUW9cI/BBBWj+yLUw/vgmPcogp2/vUxYvqe++3WzVx9iYLtFiJUqXUXQA+AOB6AB/WWt83cNybADwG4G9prT9GVssExPSkhBh9rSG7Wu2Hi5ZuyI2JpDkIThtC+qE7lzn36dBcoN62xywvRUbs06ebvx9/fH/t81TWXB84eIDHaOfe9jZPQS6kQQQpPbKuNC81ektD7tMhLyrFvR87zLm7r6uQj0lRqpS6HsAHAbwNwCUAjyuldrXWn+057r8B8IkYFY0N1zCz1mh1TazDGSqRxN0gz0Vqr6DtGFAl8Jqir/1meaZAitE/m5vN/Qo0ntKjR/fbbF6P4tpmW13XrqckhiAXykAEqTs1Cp4ppraF4YjLOHFPeER5n1IJ0e5r8ZjWj42n9M0AntJaPwMASqmHANwN4LOd4/4egI8DeBNpDSPRNZC5hjj6JtahgrPw4/ogIQYu45ByLruMQd+xMcYwVxbjlo2Nq/ewtWmX733WCuDVqtkKZ3s7fA/dGMQQ5AJ/ahSkNzx7AC/ccjlK2bceei5KuV1i1V/wY0pwtfdRDHHK8R7tClJhPtjsU3ozgC8Yry+t3/s2SqmbAfxNAPfTVY2W7j6R3f0Gue/xl6t+HPZlHMJ3T8rce5z64DIOKeeKyxj0HRtjX9Gp9nc/jzUfXMoN2dP34MEmXPgP/sCvni1T9S3xvhGEErj10HPXCNJUAlUII+U4UQtIjoJ0DBGr9WPjKe2bBd1HOv8UwPu01i8qNTxplFLvAfAeALjlllssq0hD1yPj6y3h7DmMAVcPMuAf4unineMy3lzHwWUM+o6Nud7VduxizQeXckOyCZvJhNqkSj5M1XdOkQlzw/zf/B3XfVfm2syPz1266RpxEzN8N6a3d26kDLOm9pTe+PQLxQlToW5sROklAK8yXh8C8KXOMXcAeGgtSDcAHFNKXdFa/6Z5kNb6AQAPAMAdd9yRNDi8a/T5Zridg2HW7Y/a2ukiAKbGO5VorXEcWrp9SLV1iu29SjkffMsNzSbcnhsyR3KHPQv5MP833/jSV4z+bz7w5CVcPnIoSb24EkPUuYqbVEmO+gTzGCEZeD/2jTcAwFVrS9v3bK6bEsrxmlorGXNNaVs2J3Ha9ofpGQ1ZTzrVf5LkiA82ovRxALcrpW4D8EUA7wTwbvMArfVt7d9KqV8D8P/uCtLcjBl9MT0aJVK78HYRAFPjXXtfhWIj2rt9SLV1im3GXYr5MCSku+VSPcSwqQf1FlI1PxgR4lCKJ+Zln9dFhQZSCFIXYe0jTAEEi1PX66WA2jM6JrZSbgdDLU4pyqNIbCSCtCwmRanW+opSagtNVt3rATyotX5CKXXP+nO260htienRsIFDiGhfOKBNf3Coe0ymxnsODylCsBHtZrKe5ZIuU2uMjLtD88FWSIc+xDDvN9sQ29rvUYE3tQrTXCGwlB7SmMIUCBentuWnwleQlrR1j4uYtBHNuTyxNnUTQcoPq31KtdZ7APY67/WKUa31z4RXKy2+QpPK2OPgbRsKB3Q9b2505w6lAKhBTNiI9jZZz733Nr+7849iXsV+eGArpEMf+Ezdb12Bv7Eh96gg2FKKMJ3CpR2uwhRwT+4TQ5yW4h31DdtN6SVNcf2U4jR33wn+WInS2uAmJjl423zrwKHunKAUADWICdsHPmaynu3t8PWkvvWgKn/oWi716Bv/xQK4cKH5PVR+V+CHhvrW8HBEyEsp3lLu2HjcWqETMyTZx2sK0InTmIKUMjy3VEEak5jfBS79Jl5SnsxSlHITkxzWavnWweW8ORi3tusYKcqqqT/beWSG2QJ0oa4l9k/f98tHPwrs7QFvetPwXqRjSd1MbL8Ha3g4IuSnFGHK1VvqIkjN1zZt8WmDrzAFwpIh+QjSlBlygemxmqsgbYm1ftUWEaR8qVKUThmjNYnJkuCw3i329SjXMfaVtVo1HrDNTb5iIaSPqdaTAnz7x5bYD4psvwdljbkwN7glPvIRpOb7XIUp4OY1dRGkqYUoEL52dA6C1IRCnIogtUcpdReAD6DJD/RhrfV9nc/V+vNjAL4F4Ge01p+xPPcfAtgGcJPWeqmUuhXAnwK4uD7kMa31PVN1rFKUThmjcxaTOY3GPuM2tXBor3fhAnD+fNw+6FvfF1IW0JTV9leu0OmpORQyprZhsDbUGFq+tbX/UCIU2+/B0JDjIUTAzo9SvKWuxPSWhghSn2ulFKaAnTh19Y5y84yaUI1VTfh8L8xNwIeilLoewAcBvA3NVp+PK6V2tdafNQ57B4Db1z93AvgQgDunzlVKvWr92bOdyz6ttf4hl3pe59qwEtjcBM6c8TPclsvGK7Vc0teLA63RuLMTp/yx/muNW9MAXSyAY8eG18hRs7nZXG9vL14ftLTr+06fDr9W23dbW/tzu68/+6Ce01NzKOT+o8S2f3LiOjYp2+Qzb1zGPvZ3kSCE4CoeYmRYpRKksYUQhQh85CtHesWnq3c0pSC94dkDZIJ07iLrxqdfsO4D376as5cUwJsBPKW1fkZrfRnAQwDu7hxzN4CP6IbHALxcKfVKi3P/OwD3Agj+oqlSlNoYbkMGVwxDiZPQHTIaqero2n+7u41A3N0Nu64tGxuNhzSVaKIWaD6ihHpOT7UpVDhxul9i0x2bWG33Kddn3riMPZeHF0Ja5m5820LtIbU91ldcU4lBU5xyDdd1FaOACFJbxsSpi3DtMnNBCgA3A/iC8frS+j2bYwbPVUotAHxRa/1HPde8TSn1B0qp31ZKvcWmklWG79owFGYWI+SP09q20KQnU7j2H0V/u4YBpgzfHrpWt84xQxld+9gmqVLM/uN0v8SmOzax2j5U7ti8ix3+POdlFHOnlDDe2EmPQryrPt7PmOtLgfBQXhOOgtR3vESQumN+R9TWR9dfjha9sKGU+pTx+gGt9QPrv/tu/G4lho7pfV8p9Z0A/hGAt/d8/mUAt2itv6aUeiOA31RKvU5r/Y2xBsxWlMbegqLvWpw9ArmSP1EYpiWKmG6dY7bBtY/76pKyj0u4X6jojo1v26ceJAyVOzauPvemrBMVaiNUmMYI602xLpGDMLW9XmxijKEwDZUYnZGXdKm1vmPgs0sAXmW8PgTgS5bHHBh4/zUAbgPwR02OJBwC8Bml1Ju11l8B8AIAaK0/rZR6GsBrAZii+RqqEKU+hlCMLSimrkVFDMOvZK9FiSKmW2eqrWQo5sZYBtwUfZxyLnITUb5tt3mQ0Fcu9bjaPLzg1ueCOweevITLRw4FlRHDW0q91YQvMUVMqCB1EdkhwhRAVHFaihgN8ZJS3GdzZkZi1IbHAdyulLoNwBcBvBPAuzvH7ALYUko9hCbR0fNa6y8rpZ7rO1dr/QSAV7QnK6U+B+COdfbdmwB8XWv9olLqB9AkT3pmqpJViFLTEGq3yrDdz7FrlFFlS/XB1lgr0TMYkxIFdbfOVFvJUMyNvv6k7OOxeZ5asNRyL/k+SKC+d2yuWUufC3zoGvfUgpfLFjFUHlJXYQogSJwCtAI1liClfJgwNVY2grT9LcLUDRGj16K1vqKU2gLwCTTbujyotX5CKXXP+vP7Aeyh2Q7mKTRbwmyOnTtxyR8F8E+UUlcAvAjgHq3116fqWYUoNQ2h1uCx3c+xa5QdPNgce/BgeoPJ1lgrxTPYCozFoklkZCs05u5JCRnfEubG2DxPLVhK6C8bxh4ktEmOqO+nvvvURuTW0udCOBTicSwpSm6PKSXUIbux18t2ofKeUgnSWN5sm3Hy2VszhzC1EXecBLOI0XG01ntohKf53v3G3xrAe23P7TnmVuPvjwP4uGsdqxClpiEUup+jj8FEJaJsrx3LM0gtBs09QffWU9mm3nPwpIz1dcj4luA1HpvnqQSL2f/c+yuUqfvJ9773vU9LmKNCOnzFo41hTylMc3pLuextSbEfq6/3NFSMxl4XSjlGHMSVbR2mjkslWjn0mRBOFaLUxPQOtJ5SFyPIx2CiElG5jbXQdnSNWzOZ1NGjaTPycqXto9Wq2b/U9Oi7CIKSvclj83zqHqBq9xwefLRM3U8+fbFcNnP35Mk671OBN7mycXIJ46XCpz0UwrTFVqD6CtIUCYpcxaht2G7f+yUKPLOsGPUXMVoXVe5TCqTdZN53vz1u+zGG7hvY3dewHYPDh93GIuXYdccg9piYAuDMmea3zx6iMfbT5UbfWFC1m2qPTJv5kvs+n7qffPpiZ6d5qHLwYHkPRQR+2IpMn30KS99OwscD59Jmn/JjiL3PXbqpV3z6CFKffURdednndTJBavs5BTGvceDJS1f9UJQl1EV1ntIctF5BVw9O3/rXnAZeqKeWs4dzyMMWY2sW28Ra7f6k7di70LelUY5MvTHpG4tcWxcNYTNfuHtlffqC870ulMlYqG2osCw1jDdEkLq02ddjCvglQBqj1jBdyu1NYnlMU4s8Hy+qCNG6EVFKhI/h2bf+lSJsNhe5w4/HGBqfsa1ZqK8FjGfdHWIsoUzuTL0x6RuLVHPM9p6ymS+Ue4+mONcGzve6UBdUxnxJiY+ohE+KNlOG84bCdSsemznsIrZiCNPcYm9KoOaun5AGEaU9+Bh0PoZn3/pXH7iLCw4MjY+PSOwytJY2xd6PNWfqpRA+sZP42NSRcu9RALh4EThxAjh7tgmNdzk3JVwelgnlYIoozmG3MbyloYlyQvsrpE25hWnOTLoU+AguSmHKTfBxq4+QDhGlPfgYdDk9B0PigtN+kDFwaUPM8enOl5R7P4aK6NofYviKMw6CfagOJ07sZ7N++GG3c22QZFJCTmKK0ZK8pVTEDuPlwAu3XI4iTNu+CBWnz7/mhtF5ffnIIWchRukp9bl+bMz2caubEI9qEx2FQJUExRab5C1jyVKGEpmMlVtDohwubQiZLzZJcKgTP1H2m20SH4pkPz5l+I6N2ee5EhUNjfvZs8CxY81v13Nt4JZMSuCJGIq0xBKDcxPhMfjmq1Xw+EyNg63IvHzkUJQ1pRz2G23b1q0Lh7oJaRBPaQ+pvZ42Xo2QNaup94NM5YWlboNvvUPmSw5vkm2/2fSHbf3NPWvPn/fb/qbdRmfqWiYU9zI3j9/hw8MeUgq4JZMSBEGYIpa31MQUpj7eUxuPKTD8wCe2OJu6fsxrCgIgntJkXhAfT6eJj9dhrFwK79tQm1J5MHN4EKnnC6U3ybZutv1m0x+29d/cbLx7e3v+298Aw9eKeR/PzeOXcksmoWxK9JZyXqtaYugsJ1Kua/X1ntp4rvs8hSnFWwrx69omEa/zYPae0lReEPM6PtvHcPQ62Ga05caQBzCWx3rsupTjGuKN7GOqP1zX9J4/v3+8bz1CPbY+5Lz3alj7LQiCPd98tYrihbOl1HWlLSk8piY+605tknm16zxziTHqdaYiKgUbZi9KUwko8zrcwgF92dxsQipXq8Z4jiG0bHA13If6v6/elJl1Y4/75mYjSFtvZJvZ2VfUTI2ja3vMbNMue6vazKeUD0JSCsVaviuEeslpOOcitmjzFaZCPnzFqU04by5shWmqenJMyCTQMntRmkpAmdcZM6BtDF4u3pONjWYrm3vvbX7nMppdDXcXAUOZWTd03Kfo80bGFDW+QjBGncxxiX1/pBSKqcQ2l+8UQRDKg8s+pS2pvaUmrutOqTzcscgtjLuIMK2b2YvSHIwJGxuDN6VRPGWscgjVda2Di7CkFJI24x4aetu9RszxsenHvj6KPWdSeKTN3zGhfGg2Nl9j9JkIXYErJWwNI97SMHIK0xbbMeQuTAUhFbNPdBQDm6QrQ8fYJFUZO4Y64ctUshsOSVF86kCRFIgyoVNIIqAxco9PXx/FrlN7fywWcZIf+dY/19YyLWPzNUYyJy5bNgnxEc8FD7pC21d41yKGX7jlstVPTGwTIsV4SML9wYsv3Ly3Ah3iKe0h9Al/a4ytVk1Yq4tnwsYzEuppbbFpJwdPaAwoPEOUfTOVCKhUr1OO+dPeH9vbvNZj5l4fOjQWseZW6usJgiD4MCVMKTyuNl7TUI9pnwg13xNvrMAdEaU9hBqPrRG2Wg2XM5QkKJSQ9ZJ95Mg8GsNopUxY1ELdNykfNqQiZ+Zabg9UctdnaCyoxbI5/1JcT+DBHBMexUZCeHlgitYQgWorTAE7AenqCXUpmzuytrRORJSuMQ2pUOPRzDLaekr7jomRJIhqvWROYhitlAmLckD9sCEWfYK4+14q0ZxqjG3bY1uf1A8VqL8HpuYf1+8dYV6UsK5U4EcrUH3FqW2W3j6vKdV8Fe+pwJWqRGmIMdc1pCiM2SkjNLdxxlWYufbLHMKQbbaraXFpK7UA6hMk3fdq85T5tmeo70P3NHaF+ntgav5x/d4RwuHgLY1dh5L38IwBt8y7qQj1nrp4TWNSsvdUvKX1UZUoDTF2c659E67GtV98wpA5hbj6QiHufMoY67u++6j7XukPCLpQbY2zXALnzgHf+hZw8uS+IC1NwA/dvzXccwJfajVOXUN4qTK5vuzzWgS4Jb7eU07h2dy8p7b1EWFaF9WI0uWyWZ/ZGnNjx/UZRhxESylGG7d6+oiCEo39LkPtdmkbdd/1CZLue7U9jPFtT7fvd3aA06ebv8+coVv7zIUa7jlhmtZATOkx7Rqltt7SmkN4a20XZ3y8p5yEaUtOgTqUrImDUBbiU40obQ261pgbO87GMHI1oCiEWilGm2/SnfZcajHrIwpqMPaH2u3Stpx9x+3hRmq6fb9YAJ/8JPD61+/3bWoBH3NMarjnBHtShfKKl0TgiIv31HadaQ5ShfdOPUQZE6biLa2HakRp1+AZMq4WC+DChea3S3lTcNtiJCa+SXeA4T5KLVA4eMZjEVvIUJXfF7465+iE3V3g0UeBt789/76yAP0cqs1DLkwT02s6ZYRyWN9KBUdvmmDHC7dcLtpr2hLLeyoefcGkGlHaZci42t0F9vaAo0fHDSRXA4rjFiNDhBrioRl++/rI1hi2rXt73GLRjPnU8aV4qTmJqFD6wldTjwGncefwUIpDHYT6oBan4hUZRwx9Xrh6TbkK0xYKgeozR8VbWj/ViNKucTlkXMUyulwFZWxxMVZ+SkO82y9D17MdF9fw6wsXmocQU8f7zIscApGTiAqlOzco703bseEkwjh4EiVJkRCTUO+lq9Fpc72a15XGptbMu7ceeu6q15+7dBNJubZeU87hvF1cw3vlXhPGqEaUdo3LIePKxfCjMMRstn2g8Ax2GSufkyHeYjsutnVvP18sGq/41PE+giCHQEw9dinFiK8o66uj7dhwEIJcMfu1pochQl58vaYcvCA5s9Hm8KDNKQNvV4gOfRYqUGsJ5+0y5T2l3GNVvKX1Uo0opTAuu8ZtnyE2ZqS7GMfUnsFuPcYyEZdsiNvW3TwuVls5bSMUSzyWIEb66sjxwQt3xr7/pD8Faly8piGGZk1rSwVaxoSozTm+ArWWJEhD5PSGijAtm2pEKQU2IcBjRvq5c00G4NUKOHXq6nO7xhy1Z9DENhOxYM/Fi8CJE8DZs8Dhw817nMR9LPGYW4zYiO2+OnIaG+60fbxa7W9J0/3+m+pPCe8VfLDxmoqBKcTAR5DmpCSvaWxki5h6uS53BWKwXALb281vFzY3GyHXDQE2jazuMVP0leGCz/mudUyF77hw4MSJZm3qiRP771G2J7QslzF3uVbo/A2lFds7O8PH5K5j6ZgPNKa+/6bKGBsnQRhiTHiGejmpvKQcwlg51KEWPnfppqBQ3NAwXtsQ3tKJIR5FkNZLlZ5SX6+RjXel75jWS/CudwEHD+YXgzm8RDaekhJCQYc4e/bq3wBte1L2TUnjEMNT6xqCHwsu3sWuRzS0DEGgphWWMbymknhl3pjicsp7SpXwyEeQluYlNYVjymRiEllRNlWI0q5xl9pAKsnIj4VNH5RsuB4+DDz88NXv2bbHNwTVBZc5WNI4xHjAMtZXvvfy0Bj7ZsEuIcGUaxlcRLhQLq7rxWrykgrx6ROoVEK0ZW6C1HxPHgAJU1QhSrvGXWpPYYiRX5qhNlRfmz6IOS45+tG2PTZCJ7RvXOYgRZZboKx5azLWV7738tAYu2bBHlrfWQPy8E6ggNJrKkZyGDc8e6DabWE4iFGgLEE6FVbbfh5y30nobt1UIUqnDElfwdI9b6icEEFRmqE2VN9YgtN27Dj3YwrPZIoHMWYfA+n6m/qBw1hf+fajz77Ifddq+/jkSZ7rwkMoyUMvpMc1S+6UOBUvqcCFuXpHx46N8UBIQnfLpwpROmVI+gqW7nkxhE9phhrX0OjY9WqF0VveAvzyL1+dhXcKyv03qbF98AL093GKecD5gUMLxb7IAM36Tq5IRmQhBr5bQMT0krrsRckZEeTh1C5IfT2XPsJUvKT1U4UoncJXsHTPiyF8Qg21vq1KYsI1NLpdSxxLxLXC6MgR4Mknm/fMNaYxBCSFGJuql8uDl+7Yp5oHpT24CYH6/ipteYAg+ND1mub0krbhrLGEqWwNwh8uobqmiIvxECZUJFKE8wp1MQtR6mvodc9LLchsvFjtViXAtYl4SqTbRpc+j+lRawWR6SmNfW0KMTZVrxQPXkx8RBLlfTc3kZbTyzy3vhbyY+s1TWUE1+IxFewIGeuYgrT7OnT+U3ssJQmS0DILUepLbqPKxovVt1UJBbnaHmJExxRUpjDqE/8cvejAdL36Hrz4eJxLWfub+/qpSeFlHhr7ufW1EI7rutI+ZC2pAFwtEGMmYwp96BDD622bcKjFRRDGCqGdEqZT15X1pHUgonQEG6PK1hj3EXk2Xqy+rUooCDUofUXtmBE9VWbONWtU106Z1GcIn7HnsvYXcF8XWzOpE2CZ15pbXwtlEHstad974i1Nw1A/d9+nEKkUY5pDkE6dM3R/pFjPKeG8gojSEWyMKltjfOq4PkOaKnzYZw/FlPtmmoy1cQ6eFw5t9Mlm7bL2N/aenC7rYoVwhsZ+qq9zR6IIwhDUXtKahSmHbWFc+9ZXpFKOIRdBOlZGKw5TJxjqek0lwdF8EFE6wphR1RpUi0XzesoYnzLaY4oRnz0UQxMHhXg8fcqsBQ5t9MlmTbktUqhY4dCHc6Id++US2N62H7d23C9cAM6fF2EqxMfGA+MrSKeEDaUwlWRHtAJxTKRSP0yINW4xhFtOMSjrTOeJiFIL+oxkVxE5ZbTHNKR99lAEwoRyDI9niPApxSvj08bUbaOeq93yQh/QpPCGljKfWlLU13XcNjcbQbq315wrHmwhJmLglk8qb3Os65QkSDlg2y5ZT1oPIkot6DO2qA3zmIa07x6KsYSybbmUhnQMTzQXYZI65Dd0rk5lWKacd+a1AN7zySRlSDMVruO2sdF4SM3xEYSaqTmMNyal91lMr3atglSYJyJKLWgNpsXi6vC01rjjIk5ssa1vLKFs23eUhnQMgZ0rGVSX0sJVp/qNct2peS2A93wyoRaRKeaIz/eFrPEVulBk4O1i6yWNFbrbPbZ0kZWKGvppzoLU9GBS39NCnYgotaA1nLa33ddmcqBr0HOp73IJHD++v89qty6UhnQM49elfhQh4ENQtC3lgxWfcfXtq75rbW5Otzd3pueSIjEEQXBDhOk4pfdNivW+nAVpXzhtjIdNQ9cSyqUaUZrCqPZdm5mbrkHPpb47O40gPXasvy7cDWmX+g2FgK9Wzc9yaZ8Z2RaXMlI+qPAZV985271W+/fQA6aW3A9uOMz90iJABKEPTl5SYZqSBWmq5FOlCVLzM/GYCmNUI0pTZHL0XZtJgZntd3c3bL/TVAbvlFFr1qsWo3eozX2iamMDOHiwmbcHD9J7313KGBPIHKCes1Mil8uDm5zkFuaCUDOh3tIaM/CWKEhTj0GpgtQ8RoRpHpRSdwH4AIDrAXxYa31f53O1/vwYgG8B+Bmt9WfGzlVK/TKAuwH8JYCvrs/50vqzXwTwswBeBPD3tdafmKpjNaK09kyOpugeCncdomvQp/KA+KwdLJmxcOShtg6JQQpR5FLGmEAuCar10i5zM8b9xMFLKcJcKB3uXlLOYbwufUKxVynXfhgixwOB0gWpeawI07Qopa4H8EEAbwNwCcDjSqldrfVnjcPeAeD29c+dAD4E4M6Jc7e11r+0vsbfB/CPAdyjlPpBAO8E8DoA3w/gUaXUa7XWL47VsxpRWnsmRzPZ0tGjYW1M5QGZm1F77lwjSN/6VrcMpH1ikEKwu5ZRw3jl8O6dOwecPt08WDh1iqZM13a4itix483PXPqQg5AWhNLgLExTUUr7c3qmuQpS3zWdFMJU1pM68WYAT2mtnwEApdRDaDycpii9G8BHtNYawGNKqZcrpV4J4Nahc7XW3zDOPwhAG2U9pLV+AcCfKaWeWtfh98YqWY0oBcrxvPkYb2bbOGYO7WsT9dYhpfAjP+JWXy5isLSESX1w6ctQXNvhKmLHjh/6bGpsJdxX4ERsL6kQTkwxaiMgbcc+d5h0bYLUPF88psm4GcAXjNeX0HhDp465eepcpdT7Afw0gOcB/HWjrMd6yhqlKlFKAcdN5n0Ya0cM8R6jTaUZuVtbjbczNBnPGNTzk7q8GF5DF3I8mPId9zFie7nHjh8KKZ+6H2t5ICAIU1AnN2rLcxVpJa8rjSVIXfqjhL6rVZCa5YgwJWNDKfUp4/UDWusH1n/3PYHp3gBDx4yeq7X+RwD+0XoN6RaAk5bXuwYRpR04bjLvQ9uO1WrfYI7puaJoU1cgcU++0yWFIKKen33l5fZ2hpK6/hwiNFzrMHb8UEj51D1Oub+sMF9SGqg+XtKY2XbNsksJaRXiwVWQAs19SiFM5yhIr/8LHWtsl1rrOwY+uwTgVcbrQwC+ZHnMAYtzAeCfA3gYjSi1ud41iCjtwHWTeVfa+q9WabyNFG3qCiTOyXd8jG0KA516fvaVFyJ8Y3gNXUnlYY8puGzLpqyDWdZQtmjX/iwt2kHIC5WBahu668pctn/xEesuyY44eEk5w1mMcoJKGM+ExwHcrpS6DcAX0SQhenfnmF0AW+s1o3cCeF5r/WWl1HND5yqlbtda//v1+QsATxpl/XOl1Fk0iY5uB/D7U5UUUdqBg9eDgrYdy2V+kTCFud0NcHVduYYE+hjbFAY61fwcS2YT0ucc7h+b+lOIuZiCy7ZsyoRI3bIovJ5c719BcBFeOcSobQIk6hDe2GtsxQM8TkmCNFQUztFLmgut9RWl1BaAT6DZ1uVBrfUTSql71p/fD2APzXYwT6HZEmZz7Nx10fcppQ6j2RLm8wDa8p5QSv06mkRKVwC8dyrzLjAjUTqHMLIYyYZS0DWGl0tge3u/HRzr72NsczLQx8QMhz6Pfb9SCMqY49lXdl+fUCZEmirLp884zCWhDLh6SXN6R1Nn5pWkT3kpSZAK5aG13kMjPM337jf+1gDea3vu+v3/w8j13g/g/S51nI0ojenVMD19u7v5hC9FG4fEQEyR0DWGSwj58zG2ORnonARyHyFzwOZcc4ul9gFIe67tHI85nn1l97WLMiHSVFnc54wg1CRIXaDwllII0qkQ3tzZdjlTqiD19ZaKl1ToYzaiNKZB1RqLFy40+1QCecQHRRuHDPqYQrFrDA+1o3RvN6f6cxLIfbjO5an1kN2+b9u/vb0/rwG+D0OWy2Z9+MmTYfd3yLib53Kay0L5UBioLoJ0SoBxEqMpvKUpPKQStttPqWLURNZ2ClTMRpTGNMJNr8vRo/k8CRRtHBIDKb0kQ+0owYM6Run1D2G5bLaLAZpkSFNCxnUuT62HHOr7vnnd/p1SeNnsAXr6NHDmDI+tgOY8lwV+UHpIOQlSF3y9pRKym48aBKkPlF5SEcR1MRtRGhPTgC7dQBsSAxw8a7nDB0MN+Rz15+LRakUVQJdJeco7ajL0eXdex4oOsBGdKfcADW1btz6uDx0EgQpXQRpbhN166Llv//25SzeRlBnDW5pSjMb2kpYYulubIBVxKFAgopQxOQUFFzFjklsYhxryOeofw6Pls+643XO2/ZuCKe+oiU3f9+2TS1XfsXGwCc2lnjuhbevWJ8ZDB2EehHhNuK0hNQWp+ZpKnFIRU5C6bA0zV2oTpC643u/Pv+aGWffX3BBRypiYiYtSXJsLvn1AIVJyJI4yieGd9Vl3vLEBnDpFVwcgvvfQVQhOifKhulKH5toQQ+RSP3QQhDF8BGksMdYVo0Ofh4hTG2+pTQhv6nBd8ZLuU7u4ovaWxtpvWOCLiFLGxExclOLaJjk9r759MCZSbNuTI3FUS6w+j7nu2KXO3LyHPtvsUCUwyk2Mhw5C/fh6SWMYq77evSlB2ndsLs9pbYK0JGoXpDaE3O9j/Sehw/UgopQxMRMXpbi2SU7Pq28fTHm3bNpjluGyBpKCWH0ec91xynkyJoC7n9mIZZ8xzeEljQnHsH+hLjh5T1wEad95ruI0xFuaeg2phPDuMydBSiUQOd3nQjpElK6p1ZiaEgolhZH61tVXLI2dZ9seswxz+5GpNZC2+IaMupSTkpTJoLoC2HwNDH82NG4+8yy0vVzGraWmsH8hLj5ry0IYE2WuAspXjA6VE9tzmiPDbgovaQmhu3MSpIIQSpWi1GcdXy5jKrdRae6xev58vDqU5kWbIocA6cMnZNS1HEqm5nvKZFDd8RjbHiaWWA5tL6d7ArDrp9zfeUJ5cPKaUAnSbpm2wtQlE69s95KHuQvRPm+py0OovvtdEh7NgypFqc86vlzbjeQ2Kjc3G0G6twccPx5PmFIYorm3hAklhuCi6hNzr93t7XiCIfd8N+mOR/f15ubVczZ3ffvo25olp+Cz6SdOc0DIQ6iB6gqVlzSGIO2WTeE1nYMY5eYlFcFEg+/9LutK6+C63BWIweZms0arLxFL3/vAvjHVrh/b3m5+56prS+y6bGw0QvTYsUaY7uzEuU5riIaUb46R0EDVJ205u7v74xRj7k3Nd060c/b48TTfBT50x3/sPvMZz7nPASEvtXtIh64zdS1Zr8mHG59+QQRpD+aDp5Btn0w4fR8IcahGlJrG05ChbmvAUwgoW2Nuqk6hdbGpRytMYxqKYoiWgTlOFPdBl5IeLGxu9j+siSHUqATj2H3mM55znwMCPbYGKpUBGuoltRGJMchxTcGOVoiKGB0n9bpxoXyswneVUncB+ACA6wF8WGt9X+fzvw3gfeuX/x8A/7XW+o8oKzoF5Z6ei0XzOsdWLF1iblNh4rPdiQscwh+XS+DcuebvrS0xivswx6n0cOlQ2oc17b3QYntPudxHY2UOldN3DkVyrtBzBCEULsYpZ2Hosra0NnKE7ooA9YPKSyrMg0lRqpS6HsAHAbwNwCUAjyuldrXWnzUO+zMAP6a1/nOl1DsAPADgzhgVHiLEeGqNvtWq2Z4ByLcVS5dQMee7TQW3NV8UQrndfgMAHn88bmKnGuDwIMEV6gcqfX1gu47T5T7y2X7I9d72Gc8S54DAFxsDlVKQhnhJOQhSlwRIwrWMCUnbeSZiNA224zGW8EjWlZaPjaf0zQCe0lo/AwBKqYcA3A3g26JUa/1vjOMfA5D80UiI8dQafSdP0oWYxjDmfAxuLllifaF8YLC52ZTzP//P+yGZYnDTkzPZTooHKt17ikI0+ng4h86h7H+fsnInWxLKpQYP6du+78lv//3IV45QVGeQOXpLqbykIjYFgR82a0pvBvAF4/Wl9XtD/CyAfxlSqdS067C2tnivdYqxvqsPijVfVOvuTIM/9IHBxgZw6hTw0Y9Ol5Uy2VVMcrRjap7GrFPKxGFtWYtF/zWpk1DZlkP5PcFlHapQPpzC+Ma8pFSCtH3dfc8VDh7bEhHRWQ5cHkYJ+bHxlPbFv/Q+qlJK/XU0ovQ/H/j8PQDeAwC33HKLZRXj4+NNdPEGUHkOOHkwpwj1WPWt7025vrWWEGazHd0tTmIxNE9jhMl3mRpbynHlOEcA2u8JWYc6D8z/zd9x3Xdlrg0NXLZFie0tFQRBqAUbUXoJwKuM14cAfKl7kFLqrwL4MIB3aK2/1leQ1voBNOtNcccdd/DaZMoRF4OUynjd2EgnLEJJlaCpj1r3RPXpE7Mdfeeb4n93N6zPzH7vq1+MMHlXcgu2FFAuHZB1qPPA/N9840tfUfT/ZkEQyuLGp18Qb6kAwE6UPg7gdqXUbQC+COCdAN5tHqCUugXAbwD4O1rrf0deS4a4GKSUxitX70yXrmHqKhRD+oyijzga1j59MpVN99y5xmv5yU8Cjz7avBe6NnuoDPP63TmQah1i37j6XpvjHOHCxYvAiRPA2bPA4cO5ayMI9nzu0k0SMisIibEVpmNh2ZLkqHwmRanW+opSagvAJ9BsCfOg1voJpdQ968/vB/CPAfwVAL+qlAKAK1rrO+JVu5+UCTZcDFJK45Wrd2YKV6EY0mdmH5WWdGWsvqHzaOz8178eePvbw+bV1Nwcu36MbVamSBFOzI1U98OJE00yMQB4+OF41xHqoQZPySNfORK8hrSLZN/1YyxLqyAIPLHap1RrvQdgr/Pe/cbfPwfg52ir5o6r8ClNsABleGf6+jWWmO67ltlH29t0nuUU8yW1J3xrCzh4kKZNVA8SxoixJjRnOLFJSfNrqq5nz179WxBSIutJBaE8pryl8pChfqxEaSm4Cp9SQmFTQWUU9/VrLDHtEjJKea1Ya3td6zs0ZrZjyeUhh209Yq0J5fBQKsX3EdX8mqrr4cPiIRUEQRDc8F1fKqG7dVCVKHU1sEsNhY0FlVHs0q+hoqrvWt1zY4ROU2UX7rbPtb5D9aj1gUvoeLrOjZTRFCm+j6jml3x3CjUj60oFIZxWKFJsByVe0nlQlSgdYyrMM8f1uUFlaLr0q6uo6vZj37VSCMac2YVNhuohoqEf1363nYc2TJ3DxWttMjSPONZV4EvKPUpzh+6260oldDcO33y1wss+LwmiuRPiuXT1loqXtB5mI0pTeY58w904kMPQdBVVNv24WAAXLuzvceqKzTVC+4r6AcBy2ayfHRPrOeHyUMa137vHhyRH4vodEDO5liAIQi4k2REPDjx5yfnBlGwTM0+uy12BVGxupklm0hqeOzvXXv/kycaYXS7j1iEWrfChrH9r9A4Zw92Q3tWq6cexcdzdbTJ/7u761T/FXBlqty9D844LXOrn2u/d401hac4Rm7mV6jvIFS5jIwihUHpJQ7LeipdUmDPUnkt5sDAfZuMpTfXEfyzc7eDBxvg7eJCn92HKm5Xb07Oz03inzpzpr19b/9ZD6uNlBcr0Dtl6AHN5LLmGE4fsn9sXCXHhAnD+/HB4bqwEWSFwHRthPohHRIiFeEvTMiRIfb2lvtcTymQ2ojQVY4Imt/EXKjpt6h9T9GxuNp7S1tvcLT9lJl5u2ArpXA8WuAp9qv1zNzcbQbq315Tpuh9rzvBmirGZqj+X8G2hXnKvJa2Jds1mLX0qwjQNIhCFUESUJmTK+IttuJ0713gaVyvg1KlrP58SbTbGa0zRM+Vtpqh/7eQQ5hTzOta9Qbm29/z5/Tq6Xq/raW3fK0XETd33uaMshLqJJZ7mmIXXTCJUkzgVYZofH2+pMC9ElBISajjnNtwoRJvNFi3U5beI6JzGt49CxpBiXvuWkTLjrU1Ztp5WoCwRN3Zf2q4FF4QUvHDL5dxVYMtQVtuXfV5XIUyFeOTwkopntj5ElIJONIUa36ZhF8MztLXVeBhT74No2y82bZ6z8MwZAhkytym8kb5l5H7QA9jP6z5PKzcR57O/7tRacEEIQcQSDVPbrNQgTMVbGgcXcSjeUmGMWYvSkO0d+nAxnKf2Td3epjemcwm6qX6hHodaySmw2rFbLK7eesYGinnnWwaHdcS+CbYoxpj6QYbPHJxaCy4IvqQQSXMI4bXd91OEqdAll7dSvKR1MpstYfoY2t7BF5ftJqa2YaDePiLGdi62TPVL6DjkbFtKXOcEZb+0Y7i7W9b2Ibb3ZMw5ZDNuFNfvK4N6uxef76V2Lfjp0+XMG0GYC7aC1Pd4QegiglIYolpPqY2HYGh7hxSkTsrDIYxxiNBx4Nw2SlznRIx+GZq3NvdbrPBjinJjJ+ia2gom1rpbak9xyR5rIQ9ToXq+28GU7rHjgK/AzO0x/earVZA4Fm8pDSHiUsJ4hT6qFaU2Rl7O9Ympr901CkMMeWpxEdoXYvD2EyIghxgaK5v7LVR4DdV7Kqu0Db5zyLYvU2xX1FcGlzXYXOoh1EFqQVRjCG+oxzO3MA1FhGkYOb2d4mmtl2pFqQiVq+kahX1GMpWBnZo5GrwhSaEoxq97fZv7LfSejO3N9CmzrdNqtZ9ErG88ptbk2lw/ZSZhQRCEKUSYzhMqUSjeUqFLtaJUDLRhhrZosDX6cwv+nFloQ+GQ6Zli/LrXH7rfuu39+Z/fX/vo2gdD9d7auvp6KedEW5fVanw82raHJDDj9jBIEHJQsgjiAuW60NKFqSAIfKhWlNYGpRAb2qLBVqzEEPwu7aMyznOIW6q622Y07mtbrP1o++hrr28fDNW7TaRz773N75SCzRTaNtsthTwQiPEwqOQHPIIguBMjUVHJwlS8pW5Qh866eksldLduRJQSEdu4oxRiq1VTRneLhlCxEtIHLu2jMs5Te56GPNQ+TI1V7LbZzpW+sYohrnJ771NEZsS4hnhfhblxw7MH8MItl53Py7Gu9HOXbiItL2bm3LbsFOKUsh0iSO0RQSjEZpaiNIaAjG3cUQqx06eBY8eAvT1az5LZB1PZRru4tI/KOF8sgAsXmt8pGPJQxyC3SGvpGyvf8Yvt/aWoxxTcRGCOeSLeWSEECq9ciDAFkESc2gjSG549YFVWym1cUopTX0SICgJPZilKU26VQYVpdIcYdWbClaNH43mrXPs4xxrg3d1GmB89mubasTO8mpS2ptqmjbEEnWv/pnr4Eou+db4p4SbMhbzc+PQLztvCUAgfX2EKxPOa2npGbcUokG9f0Vji1Lc9IkTDEC+pkIJZitIYhmFK487GqBsytM16xsxgysH4niJVHc2xCMnwCtRrxNu0MdZ4ufYv94cvUyI75nyy3R96tbp2+YAguBLqNQ0VpkC419Q1RLcEQTpUh1CB6toeEaKCUBazFKWleZG62Bjnub1KHPu4W/dUdQwdixIEfhdX76NNG2ONl2v/cn/4Yu7burV17TjErPPYXDfnRK7EVEJaUmz3kFOYAn5eU9+1ohzDdV0IEagiSPMhXlIhFbMUpaVjY5yn8CptbjYGMNAYv9w9Hrk8jqFjwcG75gpHD2KMa/eda9uXKdZW9o1DzL4em+tmXVKv5xbqhkKYAojqNQ1NWpRSkLaCzjWs2gUXgSqCNB8iSIWUiCgNgFvCjhRrxbqhi6dPN69L8Hjk8mpx9Bp3oRbsrn3N7V4aY6yuyyVw/HizVhnIkyF5a+va7WlSzfmNjeF1tt3vjpTruQXe+Kwr7ZIzAVJLn9eUIoNuDkFq/h1TnALj609FkIZRk6isqS1CPyJKLRgyQrmt9Wvrs1rtG6XUBn43dHG12v+bOyWIQ5OUQo1asLv2Nbd7aYyxurZi69ixuHuWjtHt+7H+bOfYYtEk/qLaB7mvf7iHPQvlw0WYUpJLkPa9n0qcAo1AFUEaRgkiLkWIv9CglLoLwAcAXA/gw1rr+zqfq/XnxwB8C8DPaK0/M3auUuqnAJwC8J8AeLPW+lPr928F8KcALq6Lf0xrfc9UHUWUWjBkZHEzrNp6rFZpDPyNDeDUqXjlx6Akj1xKoRYi2Cn6lNu91NLXtrG6mg9qpvDpc8r5a3p1L1yw8+7akHN9sCBQZeYF/MN5qeAgSPuOiS1OAfGQhlKCIBXSoZS6HsAHAbwNwCUAjyuldrXWnzUOeweA29c/dwL4EIA7J879EwD/JYD/R89ln9Za/5BLPUWUGgwZfENGFjfDqq3Pcnlt+F7JUBriZhIY7oI6l1BzXRO5Wu2HcVOuzeSA65rMjY24SXwoH1SYXt2zZ+m2iHIZy5IeEgllQeU1BfKIUxtBSpXQyFXQpRSnNoggvRoRpEIPbwbwlNb6GQBQSj0E4G4Apii9G8BHtNYawGNKqZcrpV4J4Nahc7XWf7p+j6SS15GUUgmtwbezc/X7rZHVZzQtl8D2dvObC2P1zY1Pfw2NS846pYByHF3aaNvfpkA6c4bXQxCqMd3cdG+bzzk+ZYe2sS3r/Hng8OE83xmx722hHGIICyrRdsOzB5y2Ygm9TipBeuPTLwT1e+j5FOS+PjdEkM6aDaXUp4yf9xif3QzgC8brS+v3YHGMzbl93KaU+gOl1G8rpd5i0wDxlBr4eKZKWgvHAZ/+ovQY9iWB4TSGLp4jl2Nd2mjb3+ZxfQl/cmagpRpTHw9uTK+vWfb2dlgbU3unXUOhhbLhslaMwmPaEstz6ip4U4XrupaV2nMqglQoEfUXl2M9PFhqre8YumzPe90vkqFjbM7t8mUAt2itv6aUeiOA31RKvU5r/Y2xk0SUGvgYaWJUXcuY0PDpL0rjua8sTmPoIqa62/OMiTuXNtr299hxtu2I9UDAbO/Fi8CJE02I6uHDdNdITfe+mhpTbqGxqbenEYQWSmEKhCdDasvwgZsg7Ss3hTgVQXot4iUVRrgE4FXG60MAvmR5zAGLc69Ca/0CgBfWf39aKfU0gNcC+NTYebMTpdSGWkqjyqw7wMvgNBkTGhyNULNOIfMjdcKf7hYbY+Iudb/7eFspMdtrbtHy8MPT53ITcy3dMZ4aU04RAACvhz/C/KBIgGTi6zXNKUaBNGIutjgVQXotIkiFCR4HcLtS6jYAXwTwTgDv7hyzC2BrvWb0TgDPa62/rJR6zuLcq1BK3QTg61rrF5VSP4AmedIzU5WcnSgdMtRsDNFQYzX0fLPuAA+Ds7aQvBBDnkIEuIjHvi02FosmrDO3oKLwtoZgzsuzZ5v32t9TcBNzLa73Fbf7kOMDKWF+xPCaAuPiNHQ9akmCdOh6VAJVBOm1iCAVptBaX1FKbQH4BJptXR7UWj+hlLpn/fn9APbQbAfzFJotYTbHzgUApdTfBPB/B3ATgIeVUn+otf4JAD8K4J8opa4AeBHAPVrrr0/Vc3aidMhQszFEQ41Vl3DLPvrqntvgrC0kb2h+2DxQyCkC2j4PXWfoAlePInDtvLTxkLb0jWOstrqU63pflXwfCvPkxqdfSLbdCKUwBfrFKUVyJM7huj51CBlfDu3ghghSwRat9R4a4Wm+d7/xtwbwXttz1+//CwD/ouf9jwP4uGsdZydKhww1G0ERKjoWi2Y/wMXCT+B26547SQmQ30MXKxy7zWzalmszXhxEQEphnMKj6Du+If3QN46x2srVKysItRNDmAI0QrSlFkFq4itOubWDAyJIhdqYnSgdwkZQhIqO3d1mbZu5H2AK8UAh3IaMZ0oPnU89U4mFVOMVOlaphPFy2exPevIkXZ/0td13fKn7Idb4cwqx5ez5FoQYUK8zpSJ3uK4pdmJlUXYRpyJIr2VugnRu7Z0rIkodCDXaultopPKM+Br2ZnuHjOc2s+kv/VL43oy5t4vplrtaNT/LZbrxKsVztrMDnD7djDmVgOlrOxfRFmv8OXjXW3LNPRHD9REiZLoCpNRwXt96UBAi4rrGf/s6tjgF0m8pUyoi0IRaqV6UUho8oUZbLgPU1bBv+2y1aoQH0NS7r+4nTthlNo21JjOmWDh4sBnvgwfTjdtYH3Ay3mOIxb4yOYk2SjiNZUuuBwClPIgR8pBKpOYUplRiFKAVpH2fxdx/ts97Kl5SQZgP1YtSCoOnNSAXi+Z1bq+NK66GfdtnJ082P6a3sIttZlPbNZk+CaBikcNIp9j7MwVUYrErznK3KxU2Y+kiXClEbikPzYR5E1OkphSmlEIUCBdvtt63lOJUuBbxkgo1U70otTF4pgw6TmIgBX37Xw55Cw8fbjyk3cRAY2WOwamvcxjpY3OxRuOd03ibxPZk2oylS9+0x1640Dwg2t3l8WDHhjk9jBDooQ7/NMViDIFaqhgdOi+mOA2Be/18EEEq1E71onTI4DGNzinjr0YxMEbf/pehYrJvHGrb4xQI3+/WFBfnz1/9eY3Ge47xthmj2GLZZixd+mZzs5kzbSh9+7u2+SKUwYEnL2URA5wFKrUYBXh4FLmLv1xzkRoRpMIcuC53BXLRGp2tcTqWpKc1IEvwOlBj2/apPuzDHAPX66Wg9f4ul/bn9LXJ5ZjNTeDYsUZUjJXBCZ9+ajHFmW8ZrtiMkc98DqGvD13uhY2N5iHGmTONp5Sq7iFjK8yb3EY0tWB72ef1VT+u51LDQZCa5B5vk6FkTQI/ZGwEk+o9pSZD2WRr9EBNEWt/TxcoQqtjEisb8Ngxrbho21wCFF7FmJ7J7hwy+39ofqX8TlgugePHw72bZp2p6s41vFoog9xeKt89MW3oE5pdb2oMMQrQCVJqQZB7vMfg7tGdM5znjZCWWXlKTQ8JJ49cDmy8RSatx+TiRTrPic0YuNaTEh9vmU2bpo7hNDdtPGWLRePdbROB+eDS1906TdWxO4fM/s05v8z67e01fcjtQURqj7FQHxw8Iam8iiHeVFu4eUi75B7vqevnrp/Qj4yLAMzMU1r6ekVKXPvCXOto69Gh8HK61DOV95fjdh6xsPGU7e42c+LoURovn2udQtaED32Wcoy7URuuuNbV5fg5RpEI9HDwUt349AvF74PJXZC25PJ8cckg3K1H6HXmLtjm3v45MStRWqqBFcNAdu2L1nBeLBrxYSMSKUL/bOtJFQJpQ1+7ahOqLtsgpX7Y072eOTf7MkCPzaGhz1KGrYZ+L7nWVUJyhVzkDtOLGc4bm1IEaUlQz8ch8cThoUwJ5P5+EPIzK1E6BmdRkcOINEVJu72E63q1lGIlZQhkX7tKNfSH5r1Le1I87Bnbz7R9vb1NNwYlRVVMifKh40tom1AfHAzP0rymMQRpbO9T6nHOtbWNy3VFnE7D4ftByIeI0jWuoiJXeF8qfMJ1u6T0TIeGQLrQbddyCaxWwMmT5Rn6Q1vQcBMuNvdnSJ2793NJURWuotymbd3+4PzQTigPDoZnKV7Tkj2kHMbZFpe6hgp68/xS+iclJc0bgZZZJToawzWhR8oEKSkT37RJYxaLsO0lUm8lkTM50M4OcPo0cPAgH4Pdtv+HtqDJMefMunbfs7k/Q+qcI+ER9T1CmZSo2x8cEkIJdcFlnRhn0ce5brakGGeqaxx48tJoCO7Y5zGu2X4uCHNBPKVrfNdYpvYkxfZY9HmkfDxG3MNZKfuRm1cRGO7/Po9g7i1o+ura58GNOY9yRiMANG2j7KOhdbs+D6fEwyoMwSWckZPXtAYhWjqmpy6VKORyL3BBvKXzRESpJ7nC+2KLPSrjfHOzCWldrRrDlJtB2vbjatV4OEOMZo6hnkPj2Dd/XJJJxRAYfXXd3NwPHd/ZCe/fqbrnGEMqoZciEZpv/3B/OCXwgIsBmmOtaQ4Rmtr7FnN8Y7Ull4dSQnv34fK9IKRDRGlhxN7Cos/49Cl7Y6MRe/fe2/yOLSpcaftvtaIxmrl5hIZERMhDh1gCw6yr2Y+UHlyO4ohK6HFsW0t3vnG7TwQ+cDFAx0QihWCdqyeUy/iWhITuSh/MDRGlhUG9hYWNkehbNpXXNcZ2L20/Lpf7ntIQOAsDkxCPYIoQ124/Uoajcvbcu9DNtmuzbU+XmHubmnTnWyn3iZAH7sLFR7DOVYT2kWoLFkEQykRE6QClPdH3FQwxs5qaws9mq4qxOsba7sVFpI2FTXJcV0pNihDXWP1I7bkfI/Z3B8UWOLn2Np3DfSKEUeraOhGfgiAIYYgoHSDECKM2Sm3K89nmAbAzEkPFiE9fDgm+nA8IpsImxfMTjutcc7nXUgki2yRToYS0x/Vcqr7juP5a4Emp4pQ7ub2LVN7S3O0QBIEeEaUDcFp7R1XeVJKblIlsXOvKwZClykjKDW57Urpc3+Xe8BVErv3hkmQqF659IWJSyAX3kF7BndAxFUEqCHUyK1HqYlx2jbCcHhnKjLhj5aRIZGMLR8FHlZGUG5SJcygErcv1UyTSce2PoQc91HO6b9scQagR8ZrWhzxsEAShy6xEaYixncIjE7u8qXJCjGYfMTB2Tkibc3v6SoPSAxwaqr2x4Xb9FIl0KPuDIrO1WS/KbXMEgTsiTgXxkgpCvcxKlKZcg5WaKeOWal3qUHk++37G8sxyCpMsgTEPMFXo6hjd8eKWITi0PmNZf0Pm6sYG7bY5glAKIk794CboxFsqCILJrERpiHFJ4a2M6cGbMm5jr3P12fczltCnLrd0z6tv/X224kkZqt3XLm4h1VNZf0Pnaq72ln5PCHUg4rR8XIQpN1EtCAItsxKlLbkMqpgevCnjNvY6V599P2MZ1NTlTo0bFwN9qB7nzgGnTzcPDE6dsi8v5lY8Jr7jxdEjbpPhunsMl7q7wLHvhfki4rRsxGMqCAJQqSidEgm5DKqYIcBTxm2qda4lGdm2YjJHgiifjLjU9eCyFc8QHEPqpzJcDx1DTewHJRz7XhBE3NSLeEkFoX6qFKVTRl/qhD4tJQm2Prh4BKmwFQc+CaJCtlnpC5u1qevQvN7asvdem3Cfr6nrZzOGNt8tKQRdbOHLfW4I88VVvMxFxHIXdWMPFLjXXRAEGooXpTbhcl1CDKrSw9ZChCVF2zkJWypx0Defutt1uPRdX9isTV1r8F6nxHUu2oyhTV+nGA+fuc3p3hSEVPgIntKEbCmirk+YllJ3QRDCKV6U9u3VF9Poyx22Fmo4hghLirbHFvUhe9FS0t2uw6Xv+sJmcwpLTmKFsi6uc5Hq3k/Rnz7zpfQHboKQChuhxEW4libqJARbEOZL8aI09V597T6KuYz0UMMxxLCmEEaxRT0Xw7q7XYdL340dG5JJ1zecmEufUtfFdS5SPRjg1J8mbT8sFsD2No+HEIJQKl0xmENolSZIW0qttyAIYRQvSkP26vM18HMalYtFI8IXC7/zc4dyxr5+ak/22ByK0da+ueeTBMllDueODjAJnf8mtuND7dnk1J8mbX9sb/MUzYJQMqlEqgg6QRBKpXhRCqTfUiKFUTlkCO/uNl7ho0d5b0+Si9Si22cOhYxR39xzTYK0XDbbw5w8yU8YTTE1/2NA/RAq94OhKWy/3+b+XSMIIYSIVBGegiDUSBWi1BdfcZnCqBwyhHNsTyIM4zOHfPcNBfrnnmsSpO3t5vpnzvgn+LEVJDV4GWNf0+wjgF7ouY6B7febfNcIAh0iNAVBmDuzFqWcPRY224zYnlcTPiInpkeHwxxyrYNrCKyvd9blOFtirLcNuSYFZh8B9EIvlnis/btGEARBEIR0FC9Kaw0h6xrCfXtX2pxXGz4GNjePju++oS2hc941BNbXO2t7HNU9zG2cW6ba19dHlEIvhnis9XtXEARBEIQ8FC9KSzVEXT/v27tyjvgY2Nw8OqEPDnJmYG4x2zCV7GkqWzXVPcxtnFum2tedD9TfY9QPqmwfkAmCIAiCINhSvCjNaYiOGeNThujQ522Zq1Wz7q/9vG/vSi6k9Jr4GNi1eY9D53xof/Q9MPGZ6y1U9zDXceYqln0wBWnIAzLxtAqCIAiCYHJd7gqE0hqiOQyb1tje2bn2s83NJpHMkNE29LlpwJuf52znFGP9wI3lskn0s1zmrok/KedCX391x9t3rrdQtCfGuFKVye3eDWmXGbFx/rx/m0r6zhAEQRAEIT7Fe0rHiP00fswDMuW1GfrcxSPKxdsQyxMUo31cw71D6OunmOs0u+PtO9cpiTGuNc4VIKxdVBEbbTmLRSOQc3+HCYIgCIKQl6pFaWyj0sXYthUJLmVyMZpt6+wqlGK0z1VAcxH+Y/T1U8x1mqnCZF36PsaDkZrCbk1C2tWXgM1n7XxbzvY2j+8wQRAEQRDyUrUo5WRUxhZYMb1lVLj2AfX4ufYHZUKXmGMxlr215HWaLvMlRj25rlENhaJdQ2vfu6RaTywIgiAIQtlULUo5GZWbm40Bt1o1Bh2FMDHb1+dx4OJJbXE1QKnHz7U/2vVzR47Y7+k5de0LF8LW4vXh6r0qhdIESy39bkM7n0+enF5PbP7uwuk7WhAEQRCEfFQtSjmxsdHsTXnvvc1vakMs1FtmY1CHGt25DVBXkbO52YjIvb1mb8/QMNi2rJ0dun4wxwSw815xpG9u5Z4vrnB7CBSTobWl3XEsbQwFQRAEQciDVfZdpdRdSqmLSqmnlFK/0PO5Ukr9yvrzP1ZKvYG+quUzlYU0hL4Mny5ZP22yYXLKmOmTQdSmP5ZL4NSp5gdovJoUY7axQVeWiTkmQ5mbS8B3bqXMpjx1rZj3NyUUfTZ0L3H6jhAEQRAEoSFEyw2dq5T6j5VSjyil/v369/cYn/3i+viLSqmfsKnjpKdUKXU9gA8CeBuASwAeV0rtaq0/axz2DgC3r3/uBPCh9W/BgNJrQB0qaONF7B6TM1wxlldqZ2ffy9h6tKnK7xv/tg8Xi8Yb69qXZlj4u961/15p4aM2869vvqX0Tk5dqxSvYMw+Ky3kWhAEQRBqJ0TLTZz7CwD+tdb6vrVY/QUA71NK/SCAdwJ4HYDvB/CoUuq1WusXx+ppE777ZgBPaa2fWTfsIQB3AzAbcjeAj2itNYDHlFIvV0q9Umv9ZYvyq6eErU1sDOruMTnDFWMZv63Ii1F2H+ZaU5+ESi5h4ZzXPNrMv6HtaabWalO1m2rO5R6HmMKxFGEuCIIgCDPCW8sBuHXk3LsBHF2ffx7ABQDvW7//kNb6BQB/ppR6al2H3xurpI0ovRnAF4zXl3CtF7TvmJsBiCgFj61NQukzpHN6RWIZvxsb+6G7KTD3azx61K8vbceh9DWPQ9vTjIlyygzKVHMu9ziIcBQEQRCEWRGi5cbO/d7WAam1/rJS6hVGWY/1lDWKagTxyAFK/RSAn9Ba/9z69d8B8Gat9d8zjnkYwP9Va/0/rV//awD3aq0/3SnrPQDes355GMDFqQpasgEgwaoyX17yEuAVfwX46teAK1cyVSKwj77/e4FXHgK+fAn40n8gqxU/mM+lEEjnIaN+GmtXO2+/+TzwzOcy3H89/cTi+4AbVPPp1VrrmwjKmRWd/83/KYA/yVgdDjD6fsuG9IH0ASB9AACHtdYvoypMKfWv0PQrNd8B4C+M1w9orR9YX9NbywH4gaFzlVL/q9b65UYZf661/h6l1AcB/J7W+r9fv//PAOxprT8+1gAbT+klAK8yXh8C8CWPY7DunAcsrumEUupTWus7qMutCekjO6Sf7JB+skP6yQ7pp7yY/5tlLKQPAOkDQPoAkD4Amj6gLE9rfRdleZaEaLkDI+f+h3a55jrU96sO17sGm+y7jwO4XSl1m1LqAJqFq7udY3YB/PQ6c9MPA3he1pMKgiAIgiAIgiBkJUTLjZ27C+D4+u/jAH7LeP+dSqkblFK3oUme9PtTlZz0lGqtryiltgB8AsD1AB7UWj+hlLpn/fn9APYAHAPwFIBvAZDci4IgCIIgCIIgCBkJ0XJD566Lvg/AryulfhbAswB+an3OE0qpX0eTDOkKgPdOZd4F7MJ3obXeW1fWfO9+428N4L02ZUWCPCS4QqSP7JB+skP6yQ7pJzukn/ggYyF9AEgfANIHgPQBUEkfhGi5vnPX738NwI8PnPN+AO93qeNkoiNBEARBEARBEARBiIXNmlJBEARBEARBEARBiEIxolQpdZdS6qJS6iml1C/0fK6UUr+y/vyPlVJvyFHP3Fj0099e988fK6X+jVLqr+WoZ26m+sk47k1KqReVUj+Zsn5csOknpdRRpdQfKqWeUEr9duo65sbinrtRKfX/Ukr90bqPZrnmXin1oFLqq0qp3u1G5Ds8LfI/Vf5fAvK/EJD/c4D8H5P/T0zQWrP/QbOw9mk0e+UcAPBHAH6wc8wxAP8SgALwwwD+l9z1ZtpP/xmA71n//Q7pp/5+Mo77H9HE0f9k7npz7CcAL0ezkP2W9etX5K43wz76PwP4b9Z/3wTg6wAO5K57hr76UQBvAPAnA5/P/js84VjM/n+q/L+U/4UO86Dq/3Pyf0z+P3H5KcVT+mYAT2mtn9FaXwbwEIC7O8fcDeAjuuExAC9XzZ45c2Kyn7TW/0Zr/efrl4+h2TtobtjMJwD4ewA+jv19l+aGTT+9G8BvaK2fBQCt9dz6yqaPNICXKaUUgO9C88/8Stpq5kdr/Tto2j6EfIenQ/6nyv9LQP4XAvJ/DpD/Y/L/iQmliNKbAXzBeH1p/Z7rMbXj2gc/i+bJz9yY7Cel1M0A/iaA+zFfbObTawF8j1LqglLq00qpn05WOx7Y9NE5AP8Jmo2j/y2Af6C1/ss01SsK+Q5Ph/xPlf+XgPwvBOT/HCD/x2yo/fuQBVZbwjBA9bzXTRtsc0ztWPeBUuqvo/kn+59HrRFPbPrpnwJ4n9b6xebB4Cyx6aeXAHgjmpTg/xGA31NKPaa1/nexK8cEmz76CQB/COBvAHgNgEeUUr+rtf5G5LqVhnyHp0P+p8r/S0D+FwLyfw6Q/2M21P59yIJSROklAK8yXh9C87TG9ZjaseoDpdRfBfBhAO/QzR5Dc8Omn+4A8ND6n/AGgGNKqSta699MUkMe2N53S631CsBKKfU7AP4agFr+WU9h00ebAO7TWmsATyml/gzAEQC/n6aKxSDf4emQ/6ny/xKQ/4WA/J8D5P+YDbV/H7KglPDdxwHcrpS6TSl1AMA7Aex2jtkF8NPrDFk/DOB5rfWXU1c0M5P9pJS6BcBvAPg7FT3lc2Wyn7TWt2mtb9Va3wrgYwD+TxX9E7bF5r77LQBvUUq9RCn1nQDuBPCnieuZE5s+ehbrzaWVUt8L4DCAZ5LWsgzkOzwd8j9V/l8C8r8QkP9zgPwfs6H270MWFOEp1VpfUUptAfgEmixhD2qtn1BK3bP+/H40WeGOAXgKwLfQPNWZFZb99I8B/BUAv7p+8nlFa31HrjrnwLKfZo9NP2mt/1Qp9a8A/DGAvwTwYa11b0r1GrGcS78M4NeUUv8WTQjQ+7TWy2yVzoRS6qMAjgLYUEpdAnASwEsB+Q5PjfxPlf+XgPwvBOT/HCD/xwD5/8QF1XjiBUEQBEEQBEEQBCE9pYTvCoIgCIIgCIIgCBUiolQQBEEQBEEQBEHIhohSQRAEQRAEQRAEIRsiSgVBEARBEARBEIRsiCgVBEEQBEEQBEEQsiGiVBAEQRAEQRAEQciGiFJBEARBEARBEAQhGyJKBUEQBEEQBEEQhGz8/wHdQFs1avTefwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = runDisc(LHS, 2500, 21, 10)\n", "pltDisc(s, 21)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 2.000e-03, Std: 0.000e+00\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = runDisc(Halton, 2500, 21, 1) # Deterministic, so running only once\n", "pltDisc(s, 21)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 1.200e-03, Std: 0.000e+00\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = runDisc(Hmsl, 2500, 21, 1) # Deterministic, so running only once\n", "pltDisc(s, 21)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: 1.200e-03, Std: 0.000e+00\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = runDisc(lambda N: Sobol(N,sk=10), 2500, 21, 1) # Deterministic, so running only once\n", "pltDisc(s, 21)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Additional Benefits using LDS\n", "\n", "Leads to quasi Monte Carlo:\n", "+ Monte Carlo using LDS samples\n", "+ Error in a $d$-dimensional space\n", "$$\n", "\\epsilon \\sim \\frac{\\ln{N}^d}{N}\n", "$$\n", "+ In low-dimensions, better than regular Monte Carlo\n", "$$\n", "\\epsilon \\sim \\frac{\\sqrt{N}}{N}\n", "$$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "A = np.pi*0.25\n", "def circleMC(sfun, N):\n", " _s = sfun(N)\n", " _x, _y = _s[:,0], _s[:,1]\n", " _r = (_x-0.5)**2 + (_y-0.5)**2\n", " _m = (_r <= 0.25)\n", " _a = np.cumsum(_m)[10:]/np.arange(11.0,N+1.0)\n", " return np.abs(_a-A)\n", "\n", "N = 100000\n", "R = []\n", "for _f in [URand, LHS, Halton, Sobol]:\n", " R.append(circleMC(_f, N))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lbls = ['URand', 'LHS', 'Halton', 'Sobol']\n", "stys = ['r-', 'b-', 'g-', 'm-']\n", "Ns = np.arange(11.0,N+1.0)\n", "f = plt.figure(figsize=(12,8))\n", "for _i in range(4):\n", " plt.loglog(Ns, R[_i], stys[_i], label=lbls[_i])\n", "plt.loglog(Ns, 1/np.sqrt(Ns), 'k--', linewidth=2, label='N^1/2/N')\n", "plt.loglog(Ns, 0.01*np.log(Ns)**2/Ns, 'r--', linewidth=2, label='logN^2/N')\n", "plt.ylabel('Error')\n", "plt.xlabel('No. of samples')\n", "_=plt.legend()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Slideshow", "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": "3.8.6" } }, "nbformat": 4, "nbformat_minor": 2 }