{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "###### Content under Creative Commons Attribution license CC-BY 4.0, code under MIT license © 2014 L.A. Barba, C.D. Cooper, G.F. Forsyth. Based on [CFD Python](https://github.com/barbagroup/CFDPython), © 2013 L.A. Barba, also under CC-BY license." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Relax and hold steady" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Welcome to the second notebook of *\"Relax and hold steady: elliptic problems\"*, **Module 5** of the course [**\"Practical Numerical Methods with Python\"**](https://openedx.seas.gwu.edu/courses/course-v1:MAE+MAE6286+2017/about). Are you relaxed yet?\n", "\n", "In the [previous notebook](https://nbviewer.jupyter.org/github/numerical-mooc/numerical-mooc/blob/master/lessons/05_relax/05_01_2D.Laplace.Equation.ipynb), you learned to use Jacobi iterations to solve Laplace's equation. The iterations *relax* the solution from an initial guess to the final, steady-state solution. You also saw again that the way we treat boundary conditions can influence our solution. Using a first-order approximation of the Neumann boundary messed up our spatial convergence in the whole domain! (We expected second-order spatial convergence from the central difference scheme, but we got closer to first order.) This was easily fixed by using a second-order scheme for the Neumann boundary. *It's always good to check that you get the expected order of convergence.*\n", "\n", "A word of warning: in this course module, we will introduce a different use of the word *\"convergence\"*. Before, we used it to refer to the decay of the truncation errors (in space and time) with a decrease in the grid spacing ($\\Delta x$ and $\\Delta t$). Now, we also have a relaxation scheme, and we use the word convergence to mean that the iterative solution approaches the exact solution of the linear system. Sometimes, this is called *algebraic convergence*. We'll concern ourselves with this in the next lesson. But first, let's play with Poisson." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Poisson equation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The **Poisson equation** has a forcing function that drives the solution to its steady state. Unlike the Laplace equation, Poisson's equation involves imposed values inside the field (a.k.a., sources): \n", "\n", "$$\n", "\\frac{\\partial ^2 p}{\\partial x^2} + \\frac{\\partial ^2 p}{\\partial y^2} = b\n", "$$\n", "\n", "In discretized form, this looks almost the same as [the Laplace Equation](https://nbviewer.jupyter.org/github/numerical-mooc/numerical-mooc/blob/master/lessons/05_relax/05_01_2D.Laplace.Equation.ipynb), except for the source term on the right-hand side:\n", "\n", "$$\n", "\\frac{p_{i+1,j}^{k}-2p_{i,j}^{k}+p_{i-1,j}^{k}}{\\Delta x^2}+\\frac{p_{i,j+1}^{k}-2 p_{i,j}^{k}+p_{i,j-1}^{k}}{\\Delta y^2}=b_{i,j}^{k}\n", "$$\n", "\n", "As before, we rearrange this to obtain an equation for $p$ at point $i,j$, based on its neighbors: \n", "\n", "$$\n", "p_{i,j}^{k+1}=\\frac{(p_{i+1,j}^{k}+p_{i-1,j}^{k})\\Delta y^2+(p_{i,j+1}^{k}+p_{i,j-1}^{k})\\Delta x^2-b_{i,j}^{k}\\Delta x^2\\Delta y^2}{2(\\Delta x^2+\\Delta y^2)}\n", "$$\n", "\n", "It's slightly more complicated than the Laplace equation, but nothing we can't handle. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### An example problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's consider the following Poisson equation:\n", "\n", "$$\n", "\\begin{equation}\n", "\\nabla^2 p = -2\\left(\\frac{\\pi}{2}\\right)^2\\sin\\left( \\frac{\\pi x}{L_x} \\right) \\cos\\left(\\frac{\\pi y}{L_y}\\right)\n", "\\end{equation}\n", "$$\n", "\n", "in the domain \n", "\n", "$$\n", "\\left\\lbrace \\begin{align*}\n", "0 &\\leq x\\leq 1 \\\\\n", "-0.5 &\\leq y \\leq 0.5 \n", "\\end{align*} \\right.\n", "$$\n", "\n", "where $L_x = L_y = 1$ and with Dirichlet boundary conditions \n", "\n", "$$p=0 \\text{ at } \\left\\lbrace \n", "\\begin{align*}\n", "x&=0\\\\\n", "y&=0\\\\\n", "y&=-0.5\\\\\n", "y&=0.5\n", "\\end{align*} \\right.$$\n", "\n", "To solve this equation, we assume an initial state of $p=0$ everywhere, apply the boundary conditions and then iteratively relax the system until we converge on a solution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To start, let's import the libraries and set up our spatial mesh." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "from matplotlib import pyplot\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Set the font family and size to use for Matplotlib figures.\n", "pyplot.rcParams['font.family'] = 'serif'\n", "pyplot.rcParams['font.size'] = 16" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Set parameters.\n", "nx = 41 # number of points in the x direction\n", "ny = 41 # number of points in the y direction\n", "xmin, xmax = 0.0, 1.0 # domain limits in the x direction\n", "ymin, ymax = -0.5, 0.5 # domain limits in the y direction\n", "Lx = (xmax - xmin) # domain length in the x direction\n", "Ly = (ymax - ymin) # domain length in the y direction\n", "dx = Lx / (nx - 1) # grid spacing in the x direction\n", "dy = Ly / (ny - 1) # grid spacing in the y direction\n", "\n", "# Create the gridline locations.\n", "x = numpy.linspace(xmin, xmax, num=nx)\n", "y = numpy.linspace(ymin, ymax, num=ny)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def poisson_source(x, y, Lx, Ly):\n", " \"\"\"\n", " Computes and returns the source term (right-hand side)\n", " of the Poisson equation.\n", " \n", " Parameters\n", " ----------\n", " x : numpy.ndarray\n", " The gridline locations in the x direction\n", " as a 1D array of floats.\n", " y : numpy.ndarray\n", " The gridline locations in the y direction\n", " as a 1D array of floats.\n", " Lx : float\n", " Domain length in the x direction.\n", " Ly : float\n", " Domain length in the y direction.\n", " \n", " Returns\n", " -------\n", " b : numpy.ndarray of floats\n", " The forcing function as a 2D array.\n", " \"\"\"\n", " X, Y = numpy.meshgrid(x, y)\n", " b = (-2.0 * numpy.pi / Lx * numpy.pi / Ly *\n", " numpy.sin(numpy.pi * X / Lx) *\n", " numpy.cos(numpy.pi * Y / Ly))\n", " return b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Jacobi iterations need an exit condition, based on some norm of the difference between two consecutive iterations. We can use the same relative L2-norm that we wrote for the Laplace exit condition, so we saved the function into a helper Python file (`helper.py`) for easy importing." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from helper import l2_norm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, what value to choose for the exit condition? We saw in the previous notebook that with an exit tolerance of $10^{-8}$, we could converge well for the different grids we tried, and observe second-order spatial convergence (with the second-order Neumann BC). We speculated in the end that we might be able to use a less stringent exit tolerance, since the spatial error was a lot larger (around $0.0002$ for the finer grid). Here, we'll try with $2\\times 10^{-7}$. Go ahead and try with different values and see what you get!\n", "\n", "It's time to write the function to solve the Poisson equation. Notice that all of the boundaries in this problem are Dirichlet boundaries, so no BC updates required!\n", "\n", "There's also one extra piece we're adding in here. To later examine the convergence of the iterative process, we will save the L2-norm of the difference between successive solutions. A plot of this quantity with respect to the iteration number will be an indication of how fast the relaxation scheme is converging." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def poisson_2d_jacobi(p0, b, dx, dy, maxiter=20000, rtol=1e-6):\n", " \"\"\"\n", " Solves the 2D Poisson equation for a given forcing term\n", " using Jacobi relaxation method.\n", "\n", " The function assumes Dirichlet boundary conditions with value zero.\n", " The exit criterion of the solver is based on the relative L2-norm\n", " of the solution difference between two consecutive iterations.\n", "\n", " Parameters\n", " ----------\n", " p0 : numpy.ndarray\n", " The initial solution as a 2D array of floats.\n", " b : numpy.ndarray\n", " The forcing term as a 2D array of floats.\n", " dx : float\n", " Grid spacing in the x direction.\n", " dy : float\n", " Grid spacing in the y direction.\n", " maxiter : integer, optional\n", " Maximum number of iterations to perform;\n", " default: 20000.\n", " rtol : float, optional\n", " Relative tolerance for convergence;\n", " default: 1e-6.\n", "\n", " Returns\n", " -------\n", " p : numpy.ndarray\n", " The solution after relaxation as a 2D array of floats.\n", " ite : integer\n", " The number of iterations performed.\n", " conv : list\n", " The convergence history as a list of floats.\n", " \"\"\"\n", " p = p0.copy()\n", " conv = [] # convergence history\n", " diff = rtol + 1.0 # initial difference\n", " ite = 0 # iteration index\n", " while diff > rtol and ite < maxiter:\n", " pn = p.copy()\n", " p[1:-1, 1:-1] = (((pn[1:-1, :-2] + pn[1:-1, 2:]) * dy**2 +\n", " (pn[:-2, 1:-1] + pn[2:, 1:-1]) * dx**2 -\n", " b[1:-1, 1:-1] * dx**2 * dy**2) /\n", " (2.0 * (dx**2 + dy**2)))\n", " # Dirichlet boundary conditions at automatically enforced.\n", " # Compute and record the relative L2-norm of the difference.\n", " diff = l2_norm(p, pn)\n", " conv.append(diff)\n", " ite += 1\n", " return p, ite, conv" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the `plot_3d` function we wrote in the previous notebook to explore the field $p$, before and after the relaxation. We saved this plotting function into the helper Python file, so we can re-use it here." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from helper import plot_3d" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we initialize all of the problem variables and plot!" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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p8bSj55NOp8PQ0BCGhobEm4NGwfJ6vW0toJCrVNXrdSiVSgA0j5AgqSJ20NiMs1arHblir53IQaqKxSKi0Sji8TiUSiXcbjd0Oh2efPLJXi+NaCNyuRi2uzu5TqfD4OAgBgcHUS6XwbIsZmdnwXEcPB4PfD7fsQWL4zhRTuREvV5vKYOPm0dI3dxPJiRVxJ7jYaRyRyVVqSoUCqJIqVQqeDweXLhwQRwTEgqFerzCk0sv2j/IqeVEJ7cqtVqtKFiVSkUUrHq9LkawjtKUluM4WY7YaYxU7UWreYQ0LudkQlJ1ChGacQpbe3uNh5EKUmqp0ChSarUabrcbFy9elOXFgDgcJFW70Wg0GBgYwMDAgChYc3NzqNVqYgTroIJ1Erb/DgKNyznZkFSdEo4yHkYq9DpSlc/nRZHSaDTweDwkUqcUKX9PGulFUv1OwYpGo5ibm0O1WhUFa79B33KVKo7jjpwvud+4HEGsqBeWvCCpOsHsFKkHDx5gZGTkwONhpEIvpKpRpLRaLdxuN5588kmoVPSVIaRPu3OqDotGo0F/fz/6+/tRrVbBsizm5+dRqVT2FCy5StVhI1V70UqwqNmo/KArxAljv/EwyWQS4+PjvV7ioemGVPE8L4pUIpGAVquFx+M5tkjJqQyf2J92VNR1CymtVa1WNwlWNBoVBcvtdsPn88FkMslaqtq9bhqXI19Iqk4AnRoPIxU6JVU7RUqn08Hj8WBwcLAtESnhhEgnPaLbSPVzp1ar0dfXh76+PlSrVcRiMSwuLqJUKgEArFZrj1d4eNoVqdoLGpcjL0iqZMpRupozDCPLu0GFQtG2RHWe55HL5USR0uv1bRWpRmhI8clCqqLSCjmsVa1WIxAIIBAIoFar4caNG9jc3MTq6mpTBEvqf0e3W0HsNS6HBEsakFTJiOOOhxGq6OQoVceJVO0UKYPBAI/Hg+Hh4Y6eDIV1y7H3DiFv5CBVjahUKuh0OgSDQeh0OsRiMTx48ADFYhEulws+nw9ms1mSf1Mvz6mPEywptcY5LZBUSZx2jodRKpWS7Pf0OI5ywuJ5HtlsFtFoFFtbW10TqUYoUtVZOI5DMplENBpFJpOB3W6Hz+eDw+HoyEVOTqIip7UKCFF0lUoFv98Pv9+PWq2GeDyO5eVl5PN5MYIlJcHq9PbfQWklWALUzb17kFRJkE6Nh5FSv6dOsFOkjEYjPB4PRkZGenLSE2aBEe1DiDomEgnE43HY7Xb4/X6cOXMG2WwWkUgE8/PzcDgc8Pl8sNvtp/IiIsdt/lZrVqlU8Pl88Pl8qNfriMViomAJESyLxdLT91gqUtUIjcvpHSRVEmHneBig/c04T6JU8TyPTCaDaDSKZDIJk8kEt9vdM5FqRMhhI46H8B6zLItkMgmtVguj0YgzZ86I3w2FQgGHwwGHwwGO47C1tYVQKIS5uTk4nU74/X5YrdZTcxGRc6RqL5RKZZNgxeNxrK6uIpfL9VSwpL7Fv59gAdviqlKpZPd5kSokVT2k2+NhTopU8TyPdDqNWCwmipTH40EwGJTU3Xmvm5YeBalcjHdGHU0mE7xeL8bGxpBMJpFKpfZcp0KhgMvlgsvlAsdxiMfjWF9fRzabhcvlgt/vP9L2kVRem4Mgp7UKHCa6plQqxZE49XodiUQCa2tryGazcDqd8Pl8XZNoOeWp7hSshw8folqtYmhoiMbltAmSqi5Tr9d7Nh5GzlLF8zxSqZQYkbJYLJIUqUYop+pwCC0uWJZFIpEQt29HR0eP/B4rFAp4PB54PB4xurG8vIxCoQC32w2/3w+TydTmv6T3nHSpakSpVIrv8U6JFraBbTZbR18Pub3WwPaa6/W6GKWicTntgaSqwzR2NRe29no1HkZuUiWIVCwWQ6FQQDgchsfjwdjYmCy+6HKTql711WrsXq/T6eD1evctKDjq+hqjG7VaralHktfrfewYFTmJipzWKtCONTdKNMdxSCQS2NzcxN27d8UIVqcFS07U63VoNBoal9NGSKo6wM7xMBzHiVt7vQytykGqOI5DOp1GNBpFKpWC1WqFx+NBOp3G5OSkLGRKQG7bf92UwGKxCJZlm+YpdnMMUGOF2c4u30Lejl6v78paOoGUOqofhnaeGxUKBdxuN9xu9y7BOu2FDAK1Wm3Xd47G5RwPkqo2ISQAClt7jSIllSoLqUoVx3Hi1l46nYbNZoPb7cb4+Lh4YVhdXZVdRZNcI1WdolQqIRqNIhaLiVs2Rx1M3c51Nnb5rlQqYFkWs7Oz4DhOjGDpdDpZRX96PftPauwUrMZCBofDAa/XC4fDcepes8dVLtK4nMNDUnUMds7ZE05kQkRKaigUiqZeV72klUh5vV5MTk62/HLKLeoDyHPN7aZSqSAajSIajYJhGHg8Hpw/fx4ajabXS2uJRqPBwMAABgYGUC6XwbIsZmZmAGzflOh0uh6v8GDISQC7zc5Chq2tLUQiEdy7d0/sdWa32w90Ayenm6ZWtIpU7QUJ1sEgqTok+83Z69bWxVHpdaSqVbPG/USqETkKymmNVAnbadFoFBzHwePx4OzZs9BqtW1YZffQarUYHBzE4OAgSqUS7ty5g5WVFYTDYfj9fni93iNF2boBSdXB2ClYyWRSFCybzfbYZrJy3WYVOGqPLZpHuDfStgCJIHxgstksyuWymGsht8qIXnRUF+4EY7GYKFJ+vx9TU1OH+rLJUarktubjSJWQ+B2NRlGtVuHxeDA9PS2byM7j0Ol0sNlssFqtMJlMiEQiuH79OjQaDfx+Pzwej6RuqkiqDo9CoYDT6YTT6QTP86Jgzc/Pi5F0p9PZdM6XYuPPw3CYSNV+0LicR0jnLCAxisUiKpUKVCqVGJFKJBIolUoYHh7u9fKORLciVYJIRaNRsaw5EAgcWqQakZugAPKMVB0GoUUBy7Iol8tiHpzBYOjQCqWBwWDA6OgoRkdHkcvlEIlEcO3aNej1evj9frjd7p5faOUeQek1DMOIzWQbBWthYQFWqxU+nw9Op1NWPapa0QkpPO3jckiq9uDLX/4y4vE4PvGJT4gfAI1Gg1wu1+ulHZlOSlW9XhdFKp/Pw263o6+vr20djnu9dXkU5CiCj5NAodFiNBpFoVCAy+VCMBjctxXBSaFV9MdkMmFsbAzBYBC5XA7hcBhLS0swmUzw+Xxwu909uehKvcv3TqR887FTsFKplChYBoMB1WpVdkU0Ap2OtO3VzV2j0cjq83kYSKr2wGq1YmVlpemNl+OFvZF2r3+nSDkcDgwMDHRk2KkcBUWOkapW6xUijyzLIp/Pw+l0YmhoCCaT6cTebR4WhmFgNpthNpsxPj6OTCaDSCSCBw8ewGw2w+/379o66iRy2/6Ty3oZhoHdbofdbgfP8wiFQlhZWcEbb7wBs9ksRrDkJAzdet0FwZLbefywkFTtgcViQSaTaXpMpVI1hTLlRjukamekopMi1QhJVedpXK9QncmyLDKZTNfeZylz0As/wzCwWq2wWq2YmJhoimzYbDb4/f6Ol+/LRVIE5BjpYRgGRqMRDocD09PTSKfTiEQiuH//vhipdLlcshIs4viQVO2B1WpFNpttekylUp3KSNVOkepFpEKOUiXHNafTaayvryOVSokCcJxcuNPOzshGY/m+w+GA3+/vSIdvkqruIORUMQwDm80Gm80mDgAXIpXC3Eop5NpJgZNeEUhStQetIlVKpVLWkarDXORrtZooUsVisedbPnIUFDlEqoQLAMuy2NraAsMwCAQCTY1XiW2OKyoMw4jVZcKW6ubmJubm5uB0OuH3+9uWgyi3RHU5S9VOUdoZqRQEa2lpCUajUcy167Vg9apBrNTPiceFpGoPbDZbS6mSc6TqcV+gWq2GeDyOWCyGUqkEp9OJkZERGI3Gnt9ZyFGqpLpmnueRy+VEkRLupCuVivh+E51lZ3+keDyO1dVV5HI5uN1u+Hy+Y221UqSqOzyuIGCnYGWzWVGwDAaDKFi9aMch93YQUoWkag+sVusuqZLTSWovdt4lCCIVjUZRLpdFkTKZTD1aYWsUCoXshFZqkapcLicOLjYYDPB6vRgZGRFPrCzLSmq9UqNTr03jEOB6vY5YLIbl5WUUCgW43W74/f5Dfx/lNqZGrlJ1GDFhGAYWiwUWiwXj4+NiO46VlRXo9fquC1YvpUpOn83DQlK1B3q9HuVyudfL6AhCo8ZYLIZyuSyLsnilUolKpdLrZRwKKUSqCoWCOLhYp9PB4/FgaGiI7lCPSKcvBkqlUhzoXKvVEI1Gsbi4iHK5DI/HA7/ff6A+YBSp6g5H7VPVWC06NjbWJFg6nQ4+n6/jDWXb1fiTaIZe0T1o7K0hp5PTXlSrVcTjcRSLRdy6dUsWItWIFATlsPQqUlUsFsXBxWq1Gl6vF08++eRjT6BSi6ztxUn4Ph4ElUqFQCCAQCAgjv6Zm5tDrVYTBz0L0x12Irfzlpyl6rjjl3a242hsKCsIltvtbvtIpF5IlRzOL8eFpGoP9johCRd3OZwAqtWqGJGqVqtwuVzQ6XR4+umnZbH+Rkiq9qdcLovz9pRKJTweDy5evHioE7FcpArozcm5l6KiVqvR19eHvr4+VCoVsCyL2dlZcBwnRrYaL+4kVd2hE1toQkNZIYLFsqw4EkmIYLVDsHq1/UfVf6cY4UK+swForVaDRqPp4cr2plKpiDlStVpt1+iQZDIpy9EKcpSqTq+5UqmIIgUAHo8H58+fP/JnU05SdZrRaDQYGBjAwMAAyuUyIpEIbt++DYVCIUaw5CYpcluvQKc715tMJphMJgSDQeTz+aaZk16vFx6P58jfd9r+6wz0iu6DyWRCLpeD1WoVHxMagEpJqiqVijjMluM4uFwuTE5OttwaECoY2x1K7jRylap2S4oQfWRZFhzHwePx4OzZs8feggBOz7baUZFi9Eer1WJoaAhDQ0MoFouIRCK4efMmisUidDodDAaDLL7rcpWqbkZ7jEYjgsGgKFgsy+LGjRtQq9ViBOsw1yWq/usMJFX7YLFYkE6nm6RKKm0VdoqU2+3G1NTUnjkWAlJZ/2GR47rbNZJBKCyIRqOoVqsHfq+PAkWq5Iter8fIyAhGRkZw8+ZNVKtVXL9+HVqttiuJz8dBzlLVi3UbjUZxqHehUBBlWih08Hq9jxWsXkWqpHZj0m6k+Q2TCBaLpWVX9V41AC2Xy2KOlCBS09PT0Ol0Bz6GHOUEkGek6jjbafV6XdzGLZVKcLlcTdu4nYC2//ZHipGqvVAqlRgYGMD09HRT4rNer4ff75dE88lG5CxVvX4dDQZDk2CxLCsKltfrhdfrbRnJbkeS/VGQy3foqJBU7YMU5v8JIiXkzRxFpBohqeoeh12zMKCaZVkUCgW4XK6u9gwjqTo5NAqgkPgcDAaRy+UQDoextLQEk8kEv98Pl8vVc6GRW18tgU7nVB0Wg8EgRiuF7eDbt2+DYRgxgiWIVK1W63r1t5xuTI4KSdU+9EqqhEquWCwGAG3Nm5FjE01AnlJ1EEkRxpVEo1Hkcjk4HI6ejgMiqToZtLp47Szdz2QyCIfDuH//PiwWizjouReCRZGq9tO4HVwsFsGyrChYXq9XnJpBtBeSqn1o1VW9U5GeUqkkRqQUCgXcbnfbRKoRilR1j70S1TmOQyqVAsuyyGQycDgc6Ovra9vct6Ny0u8gj4uc7rIfJymN41N4nkcqlUI4HMb8/Dzsdjt8Ph8cDkfX/l6O4ySb77Ufcqmk1uv1GB4exvDwMEqlEliWRSwWQzabRV9fH7xe75F3P4hm5Pcp7iJ7RaoKhUJbjl8sFsUcKWFUxXFK4g8CSVX3aExU53ke6XQaLMsilUrBZrPB5/NhampKMhdq2v47ORxGABmGgd1uh91uB8/z2NraQjgcxr179+B0OuHz+WCz2Tr6OZXbAGgBKUeq9kKn02FoaAjJZBKDg4PIZrOYmZkBz/NiS45OCpZUznedgqRqH2w2G9bW1poeO66UCN2u4/F410SqEaVSKTs5AeQrVdVqFffv30cymYTZbIbX68X4+LgkLyAkVfsjp0jVUdfKMAycTiecTic4jkMikcDm5ibm5ubgdDrh9/s7ElGV6/YfIF9JqNfrMBgMYspBuVwGy7K4c+eO2K43KGvQAAAgAElEQVRlv679R0Wur9dBIanah3ZV/zWODVGpVF0XqUaUSiWq1WrXf+9xkcsXked5sQtyIpFApVKB3W5HMBiU7UWDkB/tEEAhDcHtdoPjOMTjcayuriKXyzUNem7Hd1POUiVXdrZU0Gq1GBwcxODgoChYs7OzqNfrYhVhJ6uPTwokVfvQKqfqoFJVKBTEiJRarYbb7T702JBOINftP6kjNOOLx+MwGAzwer0YGhrC22+/DZfL1evlHQiKVO3PaYhU7YUQVfd4PKjX64jFYnjw4AGKxaIY0ThOlSpJVffZb+uyUbCEsUh3795FvV4X3++jCpZcvkNHhaRqH/aKVO0lJfl8HrFYTBSpo8xf6zQkVe1DEOdYLAatVguv14vBwUHx7o/neVlJCknVyaGTkiI0mPT5fKjVaohGo1hYWEClUhFzcg57wSWp6g0HEZzGsUjCaKy5uTlUq1UxgtXt1gxShqRqH2w2W8vqv8ZIVT6fFyNSWq1WMhGpvSCpOh6NW7mCOD/55JMtK5fkdkdGUrU/cnptuhVVU6lUCAQCCAQCqFarYFkWc3NzqNVq8Hq98Pv9B0p6lqNUyenz0C40Gg36+/vR398vCtb8/DwqlYoYwTrtgkVStQ+tIlVKpRKVSgXLy8tIJBLQarX7XlilBknV4RH6hgntLqQYgWwXcrhQUNuJg9HttarV6qYLbiQSEavKhMjWXi1i5CpVcvo8tJtGwapWq02C5Xa799wSPumvmfQtoIdYrVZks1lwHIelpSUolUox+dhgMDRt9cgFuUtVt05kwmxFlmUBoKfFBd1CTic7OcjfaUaj0Yg5OaVSSezsrVAoWs6mk6NUybGdgkC7vz9qtRp9fX3o6+sTh74vLi6iVCq1JedOTsjLCLoIz/OYm5tDuVzGM888g6mpKXzuc5/D4OAgbt26BZ/P1+slHgk5S5XQ96lTJzLhZBCNRlGv1+F2u3HmzJlT0xSPtv/257RHJo6KTqcTG08Ko1Nu3rwJlUoFv98Pj8dDUtVlOrl2tVotbgkLOXeCYI2MjGBoaKgjv1cqnHqpevnll/FLv/RL+NSnPoVPfepTuH37Nl555RX8y7/8C8bHx1Gv1/Haa6/BarX2eqltQa5jaoBHPbbaeTKo1Wri4GIhbD05Odn23ixygKSK6DSNo1Py+TwikQiuX78uNkLu6+uTTfRfanP/DsPOdgqdYmfOXbVaPfE3JpK7NYhGo/joRz+KyclJTE5O4md/9mexubl5oJ+tVqv4gz/4A0xNTeHcuXN4/vnn8frrr+/5/Hw+jz/8wz9seuyv//qv8fTTT+PKlSv46le/Co1GA4vF0vScxk7ZcmOv0SlyoF0NQOv1OqLRKO7cuYNbt26hWCwiGAzimWeewdDQ0KkUKrlSKpWwtraGmzdvYmVlBaVSqWO/iyJV7cVoNCIYDOLSpUvQ6/UoFou4du0abt++jUgkIvmbP7mMqGlFrVbruhCqVKpTcW6V1C1BpVLBBz7wAUxMTODu3btgGAY///M/j/e///24devWY/dkf/VXfxXf+973cOXKFbjdbrz88sv4wAc+gDfeeANPPPHErud/9rOfxVNPPYV/+qd/ArAtS5///OebnqNWq1GtVpv2/4VeVXLMr5HzReE4UiV0h45Go8jn83A6nRgZGYHRaJT1a9JO5HKzUKvVkMvlcPPmTXE47NTUFFKpFGZmZgAAfr8fPp/vRBYTnEQUCgXGxsagVCqRzWYRDoextLQEs9kMn88Hl8slOYGR+/afXCKCckNSr+rf/M3fYGZmBq+++qr4hn/2s59FX18fvvSlL+G3fuu39vzZhYUF/MVf/AVefvlluN1uAMAv/uIv4nOf+xx+//d/XxQngYcPH+Lll1/GN7/5zV3/1ojZbEYmk2lq4ChnqZIzh5UqjuOQTCbBsixyuRwcDgcGBgZgNptJpFog5e2/er2OeDyOSCSCUqkElUqFc+fOidVkSqUSZrMZAwMDYt7O9evXodVqEQgE4Ha7j30BpEhV5xByqhiGgcVigcViwcTEBNLpNMLhMBYXF8V5mQ6HQxKCJWep6tb2305Ow/dHUlL19a9/HYODgxgdHRUf8/l8OHPmDL7+9a/vK1WvvvoqeJ7H+9///qbHf/RHfxQvvfQScrlcU6Trk5/8JH7t135NFLC9ELqqN0qVnJO95cxBpIrneSSTSUSjUaTTadjtdvT19XVkXtlBkcvFWGpSxXEctra2wLIs8vk8XC4XxsbGxPJtQajKxQpWbq9h6l3j0Og0TXk7uVwOoVBIjHoEAgHJXJSJR7T6jjAMA5vNBpvNJn6vI5EI5ufnYbfb4ff7Ybfbe/bdknNOlZyFUOpISqpmZmYwMTGx6/GRkRH8+7//+2N/VqFQYHBwcNfP1mo1zM3N4bnnngMA3Lp1Cz/4wQ/w53/+54hEIvse12KxHHlUjZSRy4W+kb2GQfM8j3Q6jWg0imQyCZvNBq/Xi8nJyZ7/jYKo9HodckF4L1mWRSqVgt1u3xVdTKVS4Oocbv3bLH7wyhu49k+3UMyWYLQacOknn8aLH3kBF148A4VCAZPJhImJCYyPjyOdTiMUCmF+fh4OhwOBQABWq5XeG4mw3/vAMAwcDgccDocYgQ6FQk2Dnrv9Xso9p4oiVZ1BUlIVj8fx9NNP73rcYrGgUCigWCzumegmzFzbad9CknkikRAf+83f/E386Z/+6YFK5U+iVAkRH7ndqTRWLvI8j2w2C5ZlkUwmYTab4fF4MDY2JqkTnZwKA3oZqWocQm02m+H1ejExMbHrJLzw1hLe/F9v4Yf/cAOx1UTTv+XTBfzb317Gv/3tZQyd7cd7fuY5PP3Bi5h4JtgU9RDy69bX15HNZuHxeMThwPtBciwNFAoFnE4nnE7nrvfS5XLB5/N1JTIt52hPLxLVT8v3R1JStRfHOdHv/NlvfetbyGQy+OhHP3qgn28lVXLf/hPWL7cTAsMwyOfzSCaTSCQSMBqN8Hq9CAaDkhKpRjrdW6uddFuqisUiWJZFLBaDTqeD1+vF8PDwrtdqczGMH3z1DVx+5SrY1RgAQKFUIPjEENRaNVZm11HOV6AzaTF6fgjlUgUrM+v48p9+A1/+02+gb9yH9/7XS3jxIy+gb8wHhUIBt9sNt9stVoIuLi6iXC7D5/PtO1rlNFwU5MTO9zIej2NlZQX5fF5sOmk2mzvyu+V4DhWo1+t7drcnjoekpMrlcu0aCwMA2WwWBoNh33JMl8uFQqGw64MuHM/pdKJWq+G3f/u38dJLLx345CjkVDUi90iV3KQwn8+DZVmEw2HodDoMDg62vPhKEYpUNSPMC4tGo2Ll3hNPPLGrSi8RSuLy165i+fYqFq8vI7oWb/p3rs5h6fYalGolxp8agdagRblQxsJbD1CvNW8RP7wfwd//X6/i+39/BRPPBjH+1Cje+3PvhsNvh1KphN/vh9/vR7VaFUerANsVhI2dv+XyPp5WlEqlOOC3VqshFovhwYMHKBaL4qDnds6l4zhOtsVKtVrt1M/o6xSSkqoLFy5gfn5+1+MrKys4f/78Y3/27//+77GxsYHh4eGmn1WpVJiensbCwgIymQx+/dd/Xfz3SqUCAHjppZfwD//wD3j3u9+Nl156Sfz3VvP/VCoVCoXCUf5ESSCHBqCNUQxhvmJ/fz90Oh08Hk+vl3dg5NKmoJMIDVZZlkWtVoPH48HZs2d33Snnknm88c3ruPy1q5i7sgCOeyQx/RN+WNwWPFwMIR3Lwjfuht1lw/rcQ8xffSA+z2Q3YuhMP/LpAlZnN2D32dA35kMymsbDxTDCy1H8x/98A3/1e1/B+fedwfs+/Dxe+KlnYbQaoFarMTAwgIGBAZRKJYTDYdy4cQNarRZ+v182UiWXdXYSoVu73+8Xu3oLc+kEwTIYDMf6HXLOqepVlE2ur9dhkJRU/czP/Ax++Zd/Gaurq6IYsSyLe/fu4TOf+UzTc1mWhdvtFt+kn/7pn8YnP/lJfP/738fHPvYx8XmvvfYaPvjBD8JsNuPs2bMIhUJNx1ldXcXIyAg+8YlP4I/+6I92rclmsyEcDjc9JrdIz072SvjuNaVSSYxiqFSqXVGMzc1NSa57P6RWUbcf7Vzrzso9t9uN8fHxXReycrGC6/9yG69//Rry6QIyiSzW5x7uOt7mYhgBjkP/ZADOviLqPIfV2Q0Us83NPnPJPFburGP4/ADGnxmFVq9FIrSF8BK7Y3083n7tLtKxDF77yuuwOE143399Hs/++BNQa9XQ6XRNFYThcBjpdBpzc3Po6+uD0+mU7AXitOSuHJTGrt5CpPTu3buo1+vioOejjKKS8/ZfrxLVTwOSelU/9rGP4Ytf/CJ+53d+B1/+8pehUCjwu7/7uxgZGcGv/MqviM+7cuUK3vve9+LjH/84vvSlLwEAJicn8fGPfxyf+cxn8BM/8RNwuVz4q7/6KywtLeHv/u7vjrwmYahyIydh+08q6y+Xy+K8PYZh4PF4cOHChZZh9XZ1VO8mclrzcaVqZ+XeXn3B6nUOd74/hx+88iau/q+bu8TI1e+Ad9iN2OYW6pUafKMeJEJJhB6wCD14JEdqnRoTzwbBcxzW5x9i+MwAeAArM2uYu7LYdMzAmA8Onw2hBxFoDFq4+uwIL7FYnd0Qn3Pl1bdgtBrw/E89i/d9+BIuvO9RBeH4+Di2trbQ39+PWCyGhYUFOBwO+P1+2Gw2SUmM3ObodfOmQ6PRoL+/H/39/SiXy2BZVtzuFQY9HzTXSM5SJee1Sx1JSZVGo8F3v/td/MZv/AbOnDkDhmFw7tw5fO9732uqzDGZTLBarfD7/U0//4UvfAF//Md/jBdeeAFqtRpmsxnf+c53WnZTB4BnnnlG3MYTtv/+5E/+BD/5kz8pPuckVv/1OlJVqVREkeJ5fs/toJ0oFApUq9UurbI9nPRIFc/z4gy3ra2tfSv3Fq8v4fIrV/HWP9+G3W9DrVxFuVDZdcxSrgyO46E3alHTqMDzPIrZ4q7n1cpVVEoV6E06mGwmqDQqFDJFVMu7v5uFbBEOnw16ix4arRo8x6OUL+/+3fkSVmc3sDEfQpL9S7z7vzyNFz/8PMaf3u6dZ7PZ4HK5xEjc5uYm5ubm4Ha74ff7O5YUfRjkFqnqlQRqtVoMDg5icHAQpVIJkUgEt27dEvPsPB7PvjlTcilAaQW1VOgckpIqAPB6vfjKV76y73MuXryIra2tXY+r1Wp8+tOfxqc//ekD/a7r168/9jl7JarLffuv2+uvVqu78mqmp6cPFXbvtQweBTlFqg7Dzso9n8+H0dHRXRfHhw8iuPzVN3H5lTcRXo6Kj0fXtxPPLU4T+qcCyG7lYTDrUK/VsXJnA/d++CjS9HAxDIVSgZGLg9DqtcjEM9BaNEg+zGD1zqNIU+Lh9jnBGbDDH/QizWZgdplQypexemcds2y6aW0qjQoTz4xCoVSgmCvBZDNibW4T928si8/55he+jW9+4dvon/Aj+MIgAo4BDIwHoFAo4HK54HK5UK/XxaToUqkEr9cLv9/fszlnJFWHR6fTYXh4GMPDwygUCohEIrhx4wY0Go0YwdopIXKO9tD2X+egV/UxtNr+k9L22VHollQJCcrRaBTlchlutxsTExNHThCVo6CcpEiVkI/CsqxYafXkk0/uOjlvhZN4/evX8IOvvom1uU2MnB+E2WlG/OFWUxRJoVTANeAEV+MQW4/D7DTBPeCEw2dFbKP5psnhtcJg0iERSiIRTsE/7oar34FsIttU7afSqODsc6BariKyFkWd4+Dw22DzWLEVSTUd0xmwQ6PXgF2NIZfMw2gxwDvkQj5dAN+QJK/Ra2B2mLD4wxX86t/9HkYvDuN9H76E9/7cJdi9ViiVSjE3p1qtgmVZzM7OguM4cQZhN6vESKqOh8FgwOjoKEZHR8Uo7LVr16DX6+Hz+eB2u8Ubaymt+zDIWQilDknVY7DZbCeyT1WnpLBer4uDi4vFIpxOJ4LBYFvKd+UoVXJacyupalW51zhzTyCfKuD6d97G9/72ddx9fb6pcu/BzRUAgN6sw9hTI9vbJiolNudDWL69Jj6vlC8jtr7d0HNgKgCr2wweQDaRx/rcJuKhpPjc9TvbBSdGmwGDZ/rAczwUCgXW7m5i8a0l8XmhBxGEHkTAMAxGzg/CZDMACgapSBobCyGx7xUAzL2xHR2zui0YmAqAq9XBg8HKzBruvXlffN7i9SUsXl/CX/7uV3DhfWfwgf/zvXj2x56AwbJdQSjk7DRWEGo0GnFLqdMRAjlKlVTXazQaEQwGEQwGkc1mEYlEsLy8DKPRKOsKcKA3W3FSfZ/bCUnVY2j15ZH7B0OpVKJc3p1PclR2Vno5nU4MDQ3BZDK19bWSk6AIyC1SBUDsUs2yLIrFIlwuV8vKvUqpiuvffhuXX3kTN787g3q1jqFzA5h4LojV2Q2Uco8+Y95hF1x9TrBrMcQ3t2DzWNA/FUCSTSPckHyu0asxcn4Q9Vod9958APDA8Ll+TL5rDKt31ptysPxjHji8doSWWCQjKTgDdoxcGET8YRKR5UfH1Jm0GDk/iEqpirs/XIRCqcDohUFMvWsMy2+voVJ6lKfXPxWAzWXBxnwI6VgGniEXxp4aQXQtLm5ZAoDBosfwuQGk4xn83x/7EtRaFZ798Sfxvg9fwrM/tncF4dWrV2EymRAIBDpWQSi1yM/j4HleFus1m80wm80YGxtDJpPBzZs3cfPmTVgsFvj9fklXhBLdg6TqMcipeeNBaUekTZi/FY1Gkclk9qz0aickVZ1DGPuztbWFt956Cw6Ho6UYcxyH2cvzuP6v21GpQqY5gXxlZh3Athyde+80VCoF4qEkNudDYFcfSUkqmkEquh0B9o954Rlyga/zWHxrCQvXlpqOufRONEtr0OLCi2dQ5+pg12IIP4gi/OBRnlYilETinWjWwFQArn4n6rU65q8+wL03HkWauDqHxevbeVN6kw5P/KdJMAoG4SUWm/MhbOJR25XoWlxsPOoecaBvJIB6vY75N+9jriHvq1Kq4sqr13Dl1Wsw2gz40MdexDM//gTOvWeqqYJQuCCHQiEsLCzAbrcjEAi0tYJQjpEqOckIwzCwWq3Q6XR47rnnkM1mEQ6HsbCwAJvNBr/fD4fDIav3oNPI4RzYLkiqDojcTlT7cdTmnzzPI5VKIRqNisNu/X4/pqamuvLayKFp6U6kLII8z4sz97a2tqDT6aDX63HhwoVd7+f9Gyu4/LU38frXryHFpsEwDAan+2Cw6rF+9yHyme1ort6iw/CZAZQKZcy9sw1odhhx5vkJZLZy2Jx/JCwDUwGYnSZszofw9gMWDMNg6Gw/9CYd1uY2RWEzWgwYPNuHYraEO/9xDzzPw2jTbx8zkcPmwqNjDp3ph8luxPq9h9iYD0GhYDB8fhA6oxarsxviMU02I4bO9iOfKuDt790Fz/Owui04954ppGMZbDQcc/jsAAw2A5ZnVnF7ZXY7af78ALQGLVburIstIYTGo9lkHt/4b/+Mb/y3f4YzYMd7f+4S3vfhSxh7ckS8IFutVvA831RB6HK5EAgEjl1BKLdzldykSoDneSiVSnGmJM/zSCaTCIfDuHfvHhwOB3w+H+x2u6Tej14JDsMwknodOgVJ1WMQPgQ7T1RCp2w5ngwOU73I8zwymYw4uNhqtcLj8bQsme80cqz+k2KkqrFyT6/Xw+v1ikm5m5ub4vsaWmJx9R9v4MZ372Du9YWmY/A8j7W5TQDb22tPffA8AAZzP1xoyj8CgOxWXozqjD09ArPdiOxWDg9uru46ptA3Sm/W4ekPXgAY4O7rC02RJgDIp4riMcefHoXZaUQmnt11TI7jsfz2dqTLYNHj2R97AjyAO5fv4e6V5r8pHcsgHduOnk08F4TZZkI6nt59zHdG5ACA0Wp455g87lye33XMRCiJV//7P+PV//7PuPj+s3jqA+fxwk89B9+IBwzDiIOB21lBSFLVGxiGgcPhgMPhEFMiQqEQ5ubm4HQ64ff7YbVae/7eUJJ6ZyGpOgAGgwHFYrEp2VroVSXH2U+Pi/gIW0HRaBRbW1swmUzwer0YGxvr6clPylGfvZDKmiuVCliWRTQa3bNyj2EYZOI5/OOffQc/+OqbWLq1Kv7bwHQfTHYDNuZCyKXyYBhg+NwgdCYt1u5u4uZ37gDYlozpS+MoZItYm92WLovLjP5J/7b03Fh5dMypAMwOE9bvPUQuuX3MoXMD25Gqu5u48Z2Z5mNmili7u31Mg82A4bP9yMSzTS0QhEjV2r1N5La2jzlyfgg603ak6q1v394+ps2AsRcmUcgUsXJn/Z11mjAw2YdMIovFhi3IoTP9MDmMWJ5ZQzGzHZUauTAIvUm365jBFyZRbDim2WnC4HQfMvEs3n7tLt5+7S7++pP/A5PPjeHFDz+PH/nZd8HmaW8FIUlV72lsucFxHOLxONbX15HNZuFyucSeZr14n6idQmdhDnkXLa1b7i7xoQ99CJ///OcRCATEx2ZnZzE6Onrs+VG9oFQqYXFxERcuXBAfE5o4siyLRCIBo9EIj8cjqeTLWq2GmZkZPPXUU71eyoHZ2NgQ55B1G2GoLMuyqNfr8Hg8TQOCBQqZIt741nXMXJ7D7A/mkQyl9zjitlw5AjZwNQ7zb95v2WgT2I5eTT4bBKNQILLMIrISa/k8AOif9MPZ5wBX5zB/9QGqpdYNXrVGDSafHQPHc4issIivJ1s+TzimZ9CFeo3DvTfvo1Lc3WQU2G6XcObSOBRKBdi1GB4uRvY8pqPfiuHpQXD17WO2alwKABqdGtOXJqBUKRBdTzRtT+4kMObD2fdM4tx7pnDpJ5+BwdwcmRKaUkYiEajV6gNVEKbTaWxsbODcuXN7PkdKxONxJBIJTE5O9noph+KHP/whnn/++UP9TL1eRzweRzgcRqFQEJvGNja37jT5fB7379/fsyl2JxBE/6Dd6iXKgQyYdPUAtBqqLOe2Co1rz+fziEajiMfj0Ol08Hq9GB4elmR4WCpRn8PQ7TXvrNxzu92YnJzctY1ULVdx419n8INX3sTN78w0VcDtjCA5+xzwDruQeJjExr2H2Li3PZvPYNFj7KkRFHMlrN7ZgFKlwMjFISgUCqzOruPt1+bEY/ZN+GF1mbG5GEImnoMjYINvxIut0BY2F8LYXNier6kz6RB89xDKhQpW76yDUSgwcmEQKrUSq3c2MPP9R8cMjPtg81gRuh9GKprZHp487sNWONV8TKMW0+8eR7VcxdI7W4GjF4eg0aqxcmcdt79399Exx3xw+G14eD+CZCQFm9uCvskAUu8MZN7avCMec+pd46jXali6vQae4zB8YRB6ow4rM+t4+7VHx/QHvXAG7IgsRxF/uAWLy4TBqX4xdyv0IILv/n//gT/T/zWe+89P4sWPPI+nP3QRKrWqqSllPp9HOBzGtWvXYDQa4ff74XK5dt30yC3yI7f1HgchSuz1esWbnsXFRXHL1+fztaX9zH5QN/XOQpGqA/ALv/AL+OhHP4pnn31WfOz+/ftwuVyw2+09XNnRyOfzuH37NrRaLdRqNbxeL1wul+RDwjzP4/r1603vg9QJhULgOA79/f0d+x1CAUEkEkEmk4HT6YTX621ZuXf38gIuf+1NJB4msbkY2tVkU0DYtuI5HrVaHStvr+0ZlRo61w+zY/t3RddiTVV+jRitBgydGwDP8+DqHFZm1lApto5K9U8FYPNYwACIh5JNbRca0Vt0GD43AOadm8jlmbWmVg5Nx5z0w+Gzg2GArXCqKRm9EZ1Ri5GLg2AYBRgAK3fWd1U5CgTGvHD1OwEeSMcz4vbkTjQ6NYJPDEOhVIBRMFi9u4HcVr7lc73DbvRN+OEZcOF9H76Ec+9pLgQR8hzD4TDi8bhYMCIkRAvtTaanp1seX2pEIhHk83kEg8FeL+XAcByHq1ev4tKlS205XrVaRTQaRTgcRrVaFbeCO9GVvxefD2GkjxzTZRqgSFW7OAnz/0qlEqLRKGKxGJRKJRiGwcWLF6FWq3u9tAMjxzudTiWqC5V7wsw9q9UKn8/XshJz6fYafvDKG7jy9WvYCjd3FR+Y7oPJZsT63CZq1Ro8QSc0Ki1W72zgbkNyuhCVEnKlfKMeOP12hFeiYu6UQN+EH1a3GZsLIRRzZYycHwTHcViZWcdcQyK3zqjF5LvGUC1VsTKzBle/E55BF6Lr8e3WBg2Vgv5RD+x+G0JLLLKJLPzjXhiMBqzcWce9Hz5KYtfoNZh61xjqNQ7Lb6/C5rHCH/QivtkcEQO25cU94ERkJYZEaAvBi0NQa9VYnllrOqZaq8LEs0HkcjlElxIw2Yzon/Ajyabw8H6kacizq98B34gX8c042NUYRi4MQWfUYmVmvSmBX6VWYvzpUajUSiy9vQatQYOh6X6kE1ls3HsoNiX99l9+D+5+J37k596NFz/yPEYvDLWsIAyFQrh37x5cLpfsUhLkGKlq99w/tVqNvr4+9PX1ifmPQk6dEME6zEiv/aBIVWchqToAreb/yWH7TxgrEo1u9/Lxer04f/48NBoN3nrrLVkJlVxp9/ZfoVAAy7KIx+Pi2IxgMLjrohRZjm5v7X13BmqtGuxydJdQAUDofhgjF4bQPxVArVpDqVTC6vwG6rXmz3YhU0R4JYq+oA/D5wdgtBgQe7iFrdDuvKbQ/TA0OjX6xv2olmtgFAzWZzdRrzYfs5QvI/QggoGpAIbPD8Jg1iHJphHbSOw6Zng5CrVODf+oFza3GbyCx8bCw135V5ViBev3HmL43KCYSJ+JZxFZie46Jrsag1qrhm/YDavLDK1Bi7V7m7typarlGtbnNuEctmP4/AC0Og3ymQIe3t+dfxXf3IJKo4ar3wmDWQ+DRY/NhTCKuVLT82rVOlZn1xG8OIyRcwNQqBQoFcp4uBjedczYZgKXv/YGFhEr2LsAACAASURBVK8voVapiU1GfcPNFYQcxyEWi2F1dRX5fF7s4i51yZKjVHWygk6j0WBgYAADAwMol8uIRCJ4++23wTCMGME6TsSHqv86C0nVAWiVUyXVSFW1WhWTkzmOg8fjwdmzZ+WeIChb2hGpKpfLohyrVKo9Z+6lomlc+cb2zL37DVV2wjqGzvXDYNJj9e4GPIMuGK0GrN97KI6RETBaDRg80498Jo/ERnK7R1SuhLXZTaQizUns/ZN+WFxmbMyHYHGYYPNYsbkYFpuACuiMWky9ewzlQgXhZRZDZ/tRq9SxemcDc1cWm57rG/XA4bchvMRCrdPA3WdHZCWG9bmHTc9T69SYeGYUHM9vi9SZAYABVmbWMPfD5tYG7gEnfMMesOsxcDUO/lEPYptb2FwINSWSCxEkpUqBldl1DEz2QaVRYWVmDQ/vNkuUw2dDYNyHrUgK+VQe/ZMBpKMZbC6Gmzq6KxQMRi++E7GaXYdvyAO9RYfVOxuYv/ag6ZgWpwkDU33IJfNIhJIYOtuPXCqPtbub4lbt/NUH+Ns/egVT7xrHix95Hj/yv70LVrcFCoUCXq8XCoUCiUQCOp0Od+/eBcdx4sVYiucBuUpVN9as1WoxNDSEoaEhsWjh5s2bUKlU4qDnw94cU6Sqs5BUHQCbzYZIpPmEqlKpJDP7SUh4jEajqFarcLvdmJqa6sh+PHE4jhqp2lm51xhlbKSYLeLNf7yJy6+8ieh6HHavtWWkh+d5lAsVGK1GmB0maA1aVEqVlrlClVIF9VoNWr0WJocRCqUC+VS+pRwWc2VY3RYYrQboTDrUqjUUsq2OWUW1XINGp4bZboJSpUQ2kdsVEQO2o2IOvx1GqwEqjQpcnUcht/uY1VIV5WIFBoseFocZaq0KuVS+Ze5XIVNEnavDYNaDq3PgeB6F7O7vb61aRzFXhM1tfeeYalSK5aZEfoFcuoB6tQ6DSQ/w2xeNnREpYLtXVj5dgMFigMVhhkavRq1Sb3nMfKaIarkGnUkLo80ARqFAudA6Ryy6FsPr37iKb/2//wr/qAcvfuR5vPu/PAOe56FSqcTtpHK5jHA4jFu3bomVqF6vVzI5lBzHyS5q3otoT2PRQqFQQCQSwfXr1w89V7JWq/VErk+LVFGi+gF45ZVXcOvWLfze7/2e+FgikUAqlepZcqVQmsuyLMrlMtxuNzwez4FD/W+99RaeeeYZ2X3Q33rrLVklqh/mc1Kv17G1tYVIJIJSqQS32w2v17u7cq9Sxc3v3MHlV97E9W+/vevirFAwGHpnm2ornIR7wImtSBrhpd3J3maHCQPTAaTjWag1KtRRQ3w1KXYJb2Rgug9muxHR9Tg8gy7kUvld0SNgu3Hn0NkBlPIl1Ko1WBzb+VWZRG7Xc/1BL+w+K+IbCTgCdlSKVazOboCrN4uoWqfGyLkBcDyPdCIDk92ANJtruf3oHnDCO+xGbDMBq9MiRq92ypZSpcTIhUGoNart12nQhfjmVsutQqvbAovfCL4MaPVaaPQarMysoZRvFh4xImgxILYeh3fILeZJ7WQ7cb8fxWwJtWodFqcJa3c3kUvuTmDvG/fD7rMiuhaDq9+JUr6MlZn1XaKrNWhx8T9N4+KHzuA//x8fhFrdfJEtFAoIh8NgWRYGgwGBQKBlBWE3WV5ehl6v70nbkaOSTqexubmJs2fP9nopYm5lNBoVX0e3272n9D148ABmsxler7dra+Q4DhqNRu7bjpSo3i5sNpskEtWFiy7LsigUCnC5XAgGg0cqwRUagErlbvUwyKm54eMiVcJoC5Zlkc1m4XA4MDIyAqPRuLty7/UFXH7lKt781g3YvFZYnCZodJpdUqU366Ez6FDIFJDZysPut0Nn1IJhgJ33UBbndn+c3FYeWoMGOpsWOpNul1Rp9GoYzDqUixVkEznYfTboDFoo1cpduVImmxFKlQL5VAG1ah1WpwUGq2GXVCmUChitetSrdWQSORhtRmgNGmj06l0VfHqTDiqtCuloBoVUEUabHiaroaVUGax68ByPXDIPjVYNi9MMvVmHarn59wu/q5gpIZPIbUfHbAYwCgY81/xCGa0GMACyqQKq5RrcZh1MNuMuqVJplNDqNaiWqsgksrB7rTCYdVBrVbukTm/SQaFQIJ8uoFauweoyw+Iy75IqRsFAb9Ki1vA66c066M26XZFGjV6NJJvGt/6f7+B/fupbeP6nn8OLH34eZ1+YBMMwMBgMCAaDGB0dRTabRSgUwv3792G1WhEIBHoyUoW2/46HyWTC2NgYgsGgOLh7aWkJJpOpZdsNav7ZWShSdQCuXr2KP/uzP8MXv/hF8bF8Po/V1dWO36kI4w6i0ShyuRwcDkfLcvnDcvv2bZw5c0Z2Ja43btzAE088IZs7HmFW4sTEhPiY0LFemLlns9ng9XpbjrBYvbOO7/+PN/D6N661FAilWonRC4MAAzDMtsCt3tlArbJb+G1eKwJjXhTSRRhtBsQ3t8Qqs0aEaIvOpEWlWIVaq8ba7MYugQAe5V8V8yUYzDpkEzlszLduVdA37oPNa0U+U4TBpMPGfAjZrd3RK41ejZFzg6jXOag0yj2jV8B2VMoz6EI+k4fJZkZkmUX84e42EY1RqXq9DoZRbLd0aLEFZ3WZ0T8VQD5T3Ba3cAqhB62bggod3Iv5MnRGDVbvbLTcUtWbdRg5P4hysQKtQYtCuoC1u5stt1SFvla5VB4mqxGbiyFx+HQjaq0KIxeGtt97AFx9eyRPqy1V94AT7/25S3j///4Chs8ONP2bUEEYDoeRSqWaZhB2Q7AWFxdht9vhdrs7/rvaRSwWQzKZbPpeS4nGthuJRAIWiwU+nw9OpxP37t1DX18fbDZbV9ej0WgkI6JHhCJV7aLb1X8cxyGVSoFlWWQyGTgcDvT19cFisbTtJCeH6sVWCJEfuUiVQqEQL5xC5V4sFoPRaITX621dubcSxeWvXcXlV95E6H4EQ+cG4B5wIp/KN1WmMQoGQ2f6oVQrsTq7CaVKgcHpfvhGPU3tCADA5DAiEPQil9zesuub8MPZZ0chW0R2RwSpb8IPg1mPzcUwSvkSRi4MIjDu295uaojgaPRq9E8GUCmWsTH3EA6/DZ4hF1z9DsQ3m8XGPeCA1WNBdC2ORCjZcMzmXlWK/5+9N4+RI73rxj/V91l933fP4bnH9l7e3WR38xKS8IZfYCPeBAUioUAOCUUiRCAhoQRQEKskCpFeJCCE/CRQBGRDgIQE+MEmm73s3fWuPYfnnp6+7+mevu+q3x9PV033dPV4Hby2h/j7n8vVU89TVd31rc/zOcQieM45AQqIbSYgV8ngnnHCMWEbUcZpTRpYvCYc5cpI7KTgnXPB5reg2WiNeEC5ph2QK2WIbibQaXUQWPLBM+NE6MScFGo5nFN2NKstRNdjsHjNsHhMaDfaI82a1WeG1qRBOpTFUbaEwJIP3lkXQivDzZpILIJ72gmmyyC2mYBKp4J7ygHXtH3I4gEAdBYtjA4DiukjJPcIod815UC30xtBsJyTdkhkYkTWSXPmX/DAN+9GaDUy9Pqr0Mhh8Zjw5n+t4jt/+n1451x48sOP4akPPQarzyyoIAyFQqjX63wG4dupIDyrSNW9/Bt00naD87Hb3t4GwzD8/90pVPJeyz99O+s+UvUWKpVK4aMf/Sj+6Z/+id92uyNTuBs/m83i6OjoVPTidtTGxga8Xu8djUe4HbW6uorp6enb5tnydtfh4SEODoi67jSj1VK+jCvfexM/+ubL2Hl9X+hPQa6SI7DkAcMAEqkI8e0UyvmK4L5WnxlWrxndbg+dZgfhtVGbBIBDcDyQyqWgxBQSeymU0sJ/U2fRwn3OiW67B4oCDtZiY0nU3jkXtEYNWFCoHJYR2xxvtOlf9IJlWIilIsS3hLlXwLGvVKvVRr1SR3o3JzgniVSMwJIPUpkEEpkY6XAO2YiwIaneSp+YU1QQkQMAS8AIm9sKigJKuQqiAjwpgCzrBfpzEklFiG0mxs7JHrDC6jGh1+2h1ewgtBIRROQkUjECyz5I5RJIJGKkD3LIRoXnRJs1sAbMkIiloEAMUYUidSiKwuylKbz7o+/EpQ88CNqkHfr/breLTCaDVCqFbrfLZxDebpLzxsYGb156ViqZTKLdbsPv99/todxSsSyLV199FUqlkqcbOBwO6PX6t7XBYhgGCoXizNA2xtRbGvz9puotVKPRwJNPPonnnnuO33Y73L05iJYLLqZpGjabDXq9/m1/c9ve3obdbodOp3tbj3O76yxkLna7XWSzWWQyGXS7XVAUhaWlpVHlXrWJV/+VKPdWn9+ESEwhsOQD0+shtBIderhaPCZYfcQYMxc9hMGuh2PCiny8MNQwiMT9WBeZBOG1GNqNNlnKU5NA4UGuktakgWfGiUqhithmEipaCZNPDxEjHnEGd59zgjZpEN8hjZxjwgajXY9EPyKGK5lSisCil/gwrcVAiSgElrwASx7ug/wrs9MAa8DCz0Fv08E1SSwKBkn1FAX4F72QK2UI34ijVWvBNmGGwaJH5EZ8aLlNo1fDO+9GrW9DwC27NastguAMlGvaAYNVxy+vOYJWmFxGpPYzOBxYapXIJJg470e5XEZunygrA0s+iMQUQiec5jmbBY7wrrfp4J5y4Ch7hPiJXEH/ogcqrRIHa1E0Kk345t3Q6NWIbAyT1VW0Ev4FDx8ozTWi7WYboZXIENLmCFqhMamRCedRzlVgD1hhdhuRCWeH3PPFEhEmzgcACgitRACWxYV3L+LJDz2GSx94AArVcOPE+SWl02mIxeLbqiBcX1+Hx+M5U79FsVgMLMvC6/Xe7aHccr322mu4cOECxGIxDg8PkU6nUSqV+KDn27kiwtX9pmp8/VQ2VSzL4vz583jppZeGtv8kSjTOCZvj02g0GlitVhiNxjsKge/t7cFoNMJoNN6xY96OulcRtl6vx2fuDSr3WJZFKBTiw227nS5Wn98ghPPvvTE2lJc2aeBf8hIiez/Lblx5Zpww2PVgWRaR9dhYVESulGHioh9isQiNahMHq8LoFUCcwV3TDoBlkQplxyI9IhEF/5IXap0STJfB/vVRRRxXar0KwWUvKFAo5StjI12AgfgXANGNuCCnCCC8ouB5kuPXaXWxdy0syCcDAKNDD9+cCwCFdDgnqIYEjjllOpMWLID9a2HUSsL2KUqtApMXAhCJRKgUq4KKPK7sASscQRtYsIhtJoYat8GSSMUInvdDrpaj1+5i780DQe4XQFSJ/kUPwAKFZHFs9A5A0EODTQ8KwP5KRJDPBhD08PGnH8aTH34Uy0/NQywZXuY6qSDk1GY/6e/X6uoqAoEAtFrtzXe+RyocDvMu6GetXnnlFVy6dGnoejEMwwc9V6tVWCwW2O3228aru99Uja+f6qbqxRdfHLopbqWpqlarfHCxSqWCzWaD0Wi8a+vyBwcH0Gg0Z4ocCgBbW1twOp2gafpuD4VX7qXTaVSr1aHMPa4ajQZ2d3chrsjxwreu4PK/XEW1WCNy+nk3KsXakNye2BG40Wq0EVmPg+kxPCoU30milDtemrP6CN8nG8kjFzuERCZBYNEDFsDBSgS9LkG6ePSqz71q1VvQW2k4pxwonkCFFFo5gou+oXF551zQ6FWIrCdQKx83F65+oHF8J4VSrswvT7YbJHaG+2mRyiUkqoZleRI9h7xlwrkh/pXeroNzwoZi6gipUBYisQj+RQ8ffjzYhPoW3FBplTxapdGrh8wy+Tlp5Agu+dCstRBei4JhWLim7DDY9IjvpHCUPTY0tXrNsPrMSB9kkY8XSNO25APLsti7fgCmSyZFiSg+1mZ/JYJ2ow2DTQfXlAOF9DCxXWNQwzfnRqVQRXQzQZq2OTfUehWxUDg6RqVcUw4YbDrEthIo5StQahSCqJREJkFwmYwrdJ2Q020+CyxeE5J76SH3fL1NB/e0A4eJAlKhLFnyXfRAqhi1hfAveKCilQivE8I9bdbiHR98GE99+HHMPjo1kkFYqVSQSqWQy+Wg1+vhcDhgNBpv6eF5/fp1TE1Nve1Bwrez9vf3oVarYbfb7/ZQbrleeeUVPPbYY2P/v9frIZfLIZVK8aHsDofjJ36RZVkWLMveb6rG1E9lUwUAy8vLt9xUDUaKKBQKWK1WmM3me4LgGI1GIZPJztyPws7ODqxW6x1VrgwW9yBJp9MoFounct8O1qK4+h/X8f2//C+Us8KoAEDUXvaABd1OD1uv7o1Er3AlEoswc2kSMrkUxcwRIjeEOT0AeZBPPxgAwwKha+Gx6BVAmiajQ492s4OtK3uCnB6ANEczl6YgloqRORiP9ACA3kYjsOwD22Ow83pobCAxAExcDEBrUKFRaWL3aggMI/wzI1fJMXtpCj2mi+hmAqWMMPcLIA2n55wTvR6Dzcs7YxFBkYjCuUcmSZxNror96+Gxf1OukWHhMZKtuPtmaKjBPVnuGSesHhO67R42XtlGtyOMCEqkYsw9Og2JXIJ8vDCWpwUQVGryoh9gga3X9lA7Gm8+7JlzwOwyo1VvY+vyzinnVIbZR6YgkoiQ3MsIenRxZfNb8P5PvBsPvHcZvrnhgHDuBSOVSqFYLN7SUtKbb76J2dnZM2VWvLu7C71ef+ZeSoGbN1WDxVEZ0uk0Wq0WrFbrLQsXuB7jrPBgT6n7TdXtrIsXL+K5554b4hBcvXoVFy9eHIJRG40GH1wslUphtVphsVjuOV+QRIL8eJ81+Hpvbw8GgwEmk+mOHrdWq/ENMqfcE1qyzUbyeOHZK3jx26/ySA9t1cAz7SLBvQMKMv+iB0qNAtGNBGqlOiiKItlyKhkOVo9RGQ69ajfaCK/FwDAsVLQSvnk3z7Phyuo1weI18+gVQB6GhCuURrEfM0OJKAQWvZAppQivEbsEsUQMS9AIWkcPmWUS2wQX6uUGohsJsCwLrVENz4wL5cPqUMzLccRMFsU0QUucU3borTQxAM2T5k4sEfG8pIO1GDrNDkHa+kueB6tRnn+lMarhnXWhnK/wy6AaowreWTeOMqWhQGP3OQf0lmOkBwC8sy5ojVpENmI8V4njSbEMg9BKBN1OD3KVDMElHzrt7hBhXG/VwX3OgUQohWKCnD+zywh70Ipc7HDIlsI754bWoOYRKO6aKjUKHv0BSPAzOVYHB6uEP6fUKuBf8KJVbw0hfSanAY4JG7LRPL8My6FSHKLGVWDJC0oMJHcyaNZaEIlFCC75IFVIh1ApDr1rVJoIrxN+kMaghnfOjXqpjvB6bOCeMsPqsyC1n+aXLP2LXjz1oUfxxIcehdVrHvoOcEtJyWQS9XqdfxCPQ6KuXr2KxcXFezJCZ1xtbW3BYrHc8d+h21G30lQNVqfTQSaTQTqdRrfb5YOeb9YM32+qTq+f2qbqiSeewDe/+c0hhITzemJZls9m4/K3LBbLPR29kEql0Ol0zhzR8k4uW7ZaLWQyGWSzWchkMl65dxJpLOXLePV7b+Lac+t49Xtvjv17FEVh4YkZSOUSJHbTyByMekRxpdapMHNpEizDYv3FrbGcGoA8yE0uPeqVJrav7I3dTySisPDkLCRSMaKbSeQF4my4os0aTF4IgGVZrL2wiW57vP1GcNkLvVWHSrGG3auhsfuJJWIsPjkLkYhCeD0mGPDMlcGuI6R9hsHa85tjuV8AMPVAABqjBpXD6kiO4dDxpWKcf9c8KBGF3TdOR5osbhO8C24wXQYrP7oxFr0DgJlLU1DTShTSRRysxsbuJ1VIsfTELCiRCFuv7Y7YPgyWLWCBZ9qJTptw8E77nZ5//BwUagVysfypSJdcJcPiE7MAgBsvbwu65nPlnLTDOWFDq9HG2gubY/ejKAqPf/AhXPiZRTz2Cw9BaxxeIuKQDu73xm63w+FwDDVQHHH6Xv69PFk3bty4415Pt6NYlsXly5d/oqZqsNrtNt9g3Sxb8n5TdXr91DZVP//zP49nnnkGPp8PALmprl+/DpFIBJFIBKvVCqvVembMNLPZLGq1GgKBwN0eyi1VJBKBQqF42yIWBgOpWZaFzWaD1Wod+cFvVJt47fvX8OKzV7Dyow3+oe+dc0GtUyF8I4ZGmTy0tGY1vDNuHCYKSPcbKZlSisCSD53mMP+I4wlx6BVACNaOIEEqOPRJrpYhsOhFu2+XwPQYUBQF75yL58RwD02Tywh7wIJc7JBHOuQqOfyLnj76FeWPb50wwWQ1DqnqTC4j7H4LstEcryBTaOTwL3jQqrcRWSfoGW8aekJpaPEYYfGakYse8uNXaBTwL7j7PCfSiFAU4F/wQs5/vtn/vKnPczpG+mQqKSaWfGjUWrxPE0eaVyjlCA2gMid5UsCxoq5RaeJgLcofP7jsH4mg4awcIpsxVPK1oc9zSCHLsjx3TSaXDtkYcJ8fVBWq9Sr45z2oDaBCFAUEz/shG+BpARBUJapoJfyLXtSKNUQ2CFLJGZx2ex0kdzK8/5c9YIHZbUJiJ4VihiBtHM+rdlRH+Eb/+CIKE+f9kEglCK2E+UbeOWmH0aEf4mqpdSr4Fzw8TwwgS5kXfnYJT334MTzy8xdHFITtdhvpdBqpVAoikYhXEL7xxht46KGH7glaxFuts0iuBwhf6vXXX8elS5du299sNpt8gyUSifigZ+5ZyCVgnCUkckzdb6puZ33kIx/BRz/6Ubz55puYn5+HXk/UVoFA4ExCwHc7u/AnrVgsxofC3q7ilHvpdBrtdptX7p18s+p2urj+3DrWXtzCi99+FUfp0pi/SMjBwWUvmB6DlR9tjMSeDNbkRT+0Js1NOT1iiQhLT82BElHYvx5BaYwiDuCQHnL81ec3T0Vajo9fwf71yNj9uOOLRCLsXQ/f9PjBZS96XRarz2+cfvwH/NAaNSjlKgi9heMzLIP9a2FUC+M5RQa7nhC5ewyu3wRpmn4wCK1Jg1K2jL1r4bH7UWIKF/7XIkRiCrtvHpw6f6NDj8CyH0y3i5UfnT7/6Qcn+scvnXp8sUSE5XctQCyhsPPG6cfX22lMnA+A6fbewvGD0Bq1OMoe3fT6L79r4S3N3+wy4on/8yiWnprDhZ9ZOFVBWK/XsbCwcGpe3b1W165dw7lz5+5paxeharVaWFtbw4MPPvi2/P1Go4F0Oo1MJgOJRAK73Q6r1Qq5XH5mAIdT6n5TdTuqXC7jX/7lX/D5z38eUqkU73//+/HJT34STqcTu7u7MJvNZ8q0jiuh+JSzULeLC8YwDJ+5N065B5C3rM3Lu3jx2St45Z+v8jJ0qYLzY+ryTuMc+tRtd4fMNtUGJfxzXhwmj5Eqg0MPZ9A6EnTsmXFCayTBuhxSRdR3asS2Eqj0l4y4iJJBTytuTEyvh4O1GM9J0llouKYdKKSKSIcIEVlv18E1YRs5vslrgNVtQWwzwfOP3DNO0EbNUKyMVC7hTTsPVonSkIzJC6bH4mAtOnB8LVzTnNKwf3wrDeekHUfZYU6Ua9oBnUWL6GaCXx5zn3OCNmsQ2zw+vlgqguucHRKJBJEbCfQ6PUhkEvgW3Gi320hspcH01Y86Cw3POSeOsiXE+67stFkLz4wTR9nykFO7+5wTeguN6FaCN1Z1n3NAZ6ERWougUSLoGae+owDsXQ+j1+lBLBVjYtkHUMS/irN24GJvyrkKb3lAmzXwzLhQypb5MQGAe9pBFJXbSRzlyvw5MViHeWISGVElUiIKoZUwOq1u33vKj2arheR2ml+ypc1aeGdcKOUriG2R74/GqIZ/zoNSrjxkw+CaJurD+E4KR31Uyzlpg8FuQHzk+F6IRCKE+nE/IjE5vkhEYX9g/norjceffgRP/fJjmL00hZP14osvwmq1Ip/Pg6ZpOJ3OW1YQ3ul64403sLCwcObQl1qtht3dXZw/f/5tP9Zg4/zAAw/cE4rt/2bdb6r+O/XSSy/hK1/5CmKxGH7hF34BkUgE73nPe/C+972P3ycUCoGmaZjN5lP+0r1ZlUoF8Xgcs7Ozd3sot1Scu7PH47n5zieKM1vNZDIoFoswGAyw2WyCCqXIRhyv/NPr2L8WxrX/WhsJIuaKKPKmIFdKkYsfIr413k9KrVNh+uEJUBSw81poSEp/spyTNtj8FnTbPdx4eXss0kCJKMxcmoRCKUchXTxVEaikFZh5ZBIURWHvzQOeNC5UNr8Fzkkbel0GN17eHglNHqxzj0xAqVGgnKuOGGwOllwtw9yj0wAFhFdj/FKUUFk8JrhnHGB6LG68vI1ua3x4+fSDQaj1KlSLdey+MZ7TJVVIsfjOGVAiEcLrURwmhH2iAMDkMsC/4OWDrLmlOKGavBgAbdKiVqph+zVhN3yANCKL75wBJRYhvp0c6/0FAAabDsHzPrAMsHF5eyRgerCCyz7orDRa1RY2r+yMvVfFEhEWn5iFWCJGcj9zqnpTa9Lg3EMTYBkWm1d2T1Vv+ufdMDqNaNVb2Li8MxaVpUQUHnzvMiYvBvDEL12CZ4a8GHHEaS5VIplMolgswmQy8fYp91qDdRZ5YAABCSKRCBYXF+/YMRmGgUQiOXPnSqDOflOVzWbxmc98BlevXgUALC4u4qtf/SrcbvdNPkm4MX/0R3+EZ599FhKJBDRN44tf/CLe8Y538PsUi0X89V//Nb7zne+g2Wyi0WjA4/Hgc5/7HLRaLcRiMW/a+Md//Mew2+340Ic+xH/+rNoSAOQtYtCU8qxUNptFvV6/pXiIQeWeRqOBzWaDwWAYVe5F83jp26/ihWevILpx3JwQp28bcokisn2lF+fdFNtKDZkocs7jkfU4auU6pHIJLEET1CoVDgaCjgnSQZbnOKSJQ3RKucoQekKbCKpRzBzxqM5JjyiunJM26G16gmodVonKbtkHEUXhYD3G2zWIJWIElr2gKAoHqxF02z1oDGro3TSoDjUUiqwxqOGd7Tuv95tGe9AKk0OP5IDKDyD8HaPTgOR+BkfpEigRheCA6talhAAAIABJREFUw3ur35yIxCIEFj2QyKQ4WCP5fypaCd+cG41qcyhsWK6WwT3jQLfZ45WOersWrknniM+V1WeGzWtB6iCLfJxzP/fycTHtOpm/SETBv+iFQt3nX1VbUKjlCCx50aq3eT8rAP3tPhRyBWT382BZsrznnLSPqP+EVIGcIjC8HuPRR86rSqVXIdpXCkrlRJHY7fSG1IdEKehFr9vD/nWyXW+h4Z5x4jBZHGqODDYd9C4dGkdNHpXkFJGRjfjQveqZcREEcCuJcr5y7LIOlldEAn2D1WUfwIJHoDhOVik3jLTpzFqCwA2gYvagDWanAbHt5NC9Gljy4qkPPwb1hAzv+4X3YLAGzShrtRosFgucTuc942V1+fJlPPLII2cus7BQKCCTydzRl+n7TdXpdceaqna7jYceegjT09P4u7/7O1AUhY997GN45ZVXcO3atZsakX3qU5/CD3/4Q7z88suwWCz4+te/jk9/+tO4fPkyD30+88wz+PKXv4znn38eCwsL6PV6+OxnP4v/+3//L/7t3/4N73nP8Rf9z/7sz9DpdPAbv/Eb/LZkMgmGYd5Sk3evVavVwtbWFpaXl+/2UG6p8vk8yuUygsHgqfs1m01ekXmacq9SqOLl77yO7df3sPnKDrLR8Yo4m98Mx4QNYIGdq+O9lygKmLgQgJpWotVoY+u1vbHfHKVWgcmLxJE7Hz9EYjctvCNIrIt71gWKAvauhUeCkAfLv+iBzqxFt9PD9mt7Y9V7UoUU0w8GIZGKUcqWET7F5Vxn0RLJPiiEb8R4ewahcp9zwOQygukx2Hl9f6xPlFgiwtSDQciVMlSLtVM5PRq9GhMX/WB6PcR3kiimxnN6HEHiXs6wLHavhsY6ooMCph6YgFqnRLPaxM7V0HifLqUEc5dmIBJTyEbzIwHPg2V2GeGbc4EBcWQfl9EIkMgbnVmLbruLrdf2xjrC8z5hEjGOMqUh24OTpTVpMHWRfEfC69FTlZaeWRfMLgN6XXKtxjnic6isTCFBtVDD/vXwWFRMo1dj+sEgQAHxndSpqJzeSePiU0uYe2wa7/jgI9AYhhsnIQWh3W6/q2qyn9SW4G5XLpdDsVi8o7QPhmEglUrvOVuhn6DOdlP1V3/1V/jEJz6B/f19/gGaTqfhcrnwzDPP4Hd+53fGfnZ7exuzs7P4+te/jo997GP89vn5efj9fnz/+98HQJqqarWKL3zhC/w+zWYTNE3jve99L773ve/x2//2b/8WBwcH+MxnPsNv+0lQk3ulbncg9J2qQqGAQqGAycnJkf/rdDp85h5FUbwi8+QbUqvewms/uIYXvnUFKz+8MWTM6Jt3Q6lVIrweRbPa4vPoitkSkgMNj1QhRXDRi06ni4MVot5zT9uhs4yiRyq9Ev55DwqpI6RD2WP0qL8Mxam0gL6nU5/TUy3UoNGr4ZlzoXZUG0LPBpGm0ArJ1LP6LbC4jEiHh/2wTrq3H6vsZIjciA9J63V2LdwTDiRDWRRTR5CrZfAvePuhzMfoDUVR8C94IFfLcbAWQavWJjyxCduQyhEQVhpy3DFunlzRFg0cE3YU0yVkwzmep8SyLEID3lUA4Jl1QmNQI7aRRPWoBq1JA++MC+XDyhDSxiEtLAPsXz9Ar8vAHrRCb6OR2E3xij5ggH/U5xpxijypXIr9awdDOX+cKo7jH3E5g4PeTwBpRoLLPqKqWyWqPrPLCEfQhnQ4yysigQFVYaXBqyL98x6o9CqE16JDjbzFY4LNb0E2kkc2mueRrkq5itROlm8OuWul1CoRuUHQMtqshXfWhUJq2P2d8+rqdro8KuactMNo1w/xzACCirmmHShmSkjspECJKExe8EMkEg1xqgByvXVmmueKcerF6oB6ECAI7gPvIQrCh99/EXLlMLl5nILwTqMgZ7Wp4lzSb/ZSejuLYRjIZLIzI0I4pc52U/W+970Pm5ubiESG31wXFxehVqtx5cqVsZ995pln8Hu/93sIhUJDlgGf/vSn8Rd/8RcoFovQaDTo9cgP9MmLbbPZMDU1NZT1993vfhcvvPACPv/5z/PbzqqCDrg9gdB3o04S7Hu9HvL5PDKZDNrtNt9InXyL7XV7uP7DG7jy3TeQjeSwczU0Fj1R0UqyZCQWoXpUw8FKdOx4zG4jnFN2UBSQCuX45UGh8s27QZuJBPtgJTqWUyVVSBFc9kEql6DT7GDvzQM+cuZk0WYtfPNuUBRQTJeGmomT5ZiwwuI1gwKF6GZ8LNJEiSgEl31QahVgGQZ718Jo1YTPlZJWILjkg0hEoVZu8A2mUJmdBrjOEdVmMpRF7hT0wjvvgs5MiK0Hq9GhgOHBksolmLjgh1QmRafdxe4bobH8L9qs6UfOAMX00ameTraABc6gDSwLRDfjY5EeSkRh8rwfSq0SDMNg79rBWP6TQiPH5MUgRCIK9VL9VKTH7DLCM+MECyB9kEM6NJ7/5JtzQ28l5yq0Fh2LYEpkEkw9EIRUJkG7Re6rcaiY1kTOFQWgmCnxtg1CZQ/a4AhYABaIbSeRH2joB4uiiHu+SqsE02Owfz081itLoZZj5uFJWP0WPP70wzj/vxYgFg8vtTUaDZ4IrVAo+AzCO/HwPqtNVTweR6/X462B7kT9tDVV9ywet7q6KghRBgIBPPfcczf9rEgkGjG2DAQC6Ha72NjYwMMPPyx4kYvFIvL5PD7+8Y8PbadpGpXKMIQvkUjQ7Y4n0N7Lda8RP99qiUSiofDiarUKs9mMiYmJEb4Fy7LYenWPV+4NvmUrNArMPjrF+wxxajYACK9FceOlbX5fo9MAe4AgAvl4gTh8z7h45GeQ0+OZIegJ5/NkD1oh1UhQyw87n0tkEkw9GATLsP1MNwb+RS/kKjkiN2LYfvXYxFNrVMMzS5Riid008aha6HtUrcew9uNjc0ZbwAKz04jEXhpHmdJxll5f5cep70QiCoElL+RKGZ+p5zrngEgGlFJV7A9I++UqOWYuTfJcI+LH5INILMLBiXNl6B8vnyggE85DTavgnXejXq4jciOO/ECIsD1ogcGuR2wziWqxBovHCKvPgkw4h+iNBADS9IilYkxeDIASHfO/7JMWGCx6RG7EsTVgeMrl/1WKNUQ34jx60+v0EFqN4voPbxyfK86VPJRFPlEAbdbCfc6Jw+QhMgc53pyVosi56jAdFKJHqJcbcEzYYHIaEN9OYnfAcFSukmHmkUl0uz2ErpPrOug9tT5gpKm30nBNO3GUKSGxmzp2Oa82EV6LDTUnJ7MKjQ49XJN2ZKOHiGzEEdkg+4klYrhmbFBpSVZju9Em3CmTBuEbMWxe3uH/plqnwvSDwX64dpRXDwJEUbjyo+NzxaFiHFeMO88cKsg1fRwqxucaFmuw+sywes1I7qax98bxuZIppDj38CQq5TIy+4fodXoILBGe28FqFNf7x////t/nobfp8M4PEgXhuYcJSq1UKhEMBhEMBvkMwv39fdA0DYfDAZPJdGZ/596u6na7d4Xb9NN0He5ZpEomk40swQHAr/7qr+Kb3/wm6vX6WHv897znPbh8+fJIE/T1r38dH//4x/GDH/wAP/dzPyf42S996Uv4yle+gvX19SH/qWvXruFLX/oS/vIv/5LfVqvVEA6HMT8//5NO867WrQRC3+3ilHuxWAyFQoE3mBNSBkU3E3jhW1cQuRFDJpwfilEZLIoicRsqWglRX5E1Dr2Rq4jZpkgiAssCoZXx6A0XYMsyLJq1JvZXImO/Oc4pO0wOA0CxyCcKSO0JZ69xxpIKtRwiEYXIRmIsT0dJK+Bf8IAChV6PxLCMyxM0OQ1wTtrBMgyqpTq/5CRU7hknDFYaoChkIvmxqJxYKkZwyQeZQkKUfmvxsZwmtU4F36IbYIFuPx5mHP/L4jHBEbSi3emgmDlCZn880hVY9EJjUEMkopDYy/Ck9ZPFIV3ER4k0beO4ckpagcnzxGW+1WgjdD08FkG0B22wesnvRzF1NGRbMFic4ahSqyD34FYShbQwKiZXyTBx3g+KovrLoZGxqJjeSsM75wbTY9CoNofCmE+We9oOk9MIFkA+XhhaDhwaa395T66SgxJRiG0keNuHk6XUKvrLtiCo1ICZ6cnSmtUILvjAsCyqxdqQGe3J8s65YfdbCMn9lx+H55xz6P85BWEqlUKhUIDJZILD4RDM5vzv1FlFqvb393mxzp0qhmEgl8vPHKlfoM42UjWubrEJvKXP3rhxA8888wz+8R//ccTQU6fToVwe/gERi8X8EuL9enuqVqshnU7j8PAQGo0GRqMRLMuOoJi52CFe/ParePHbVxBZH16qIHl0BsS3Eyjnq3Cdc0Bn1iKxk8bB6vHSnkhEIbDshUwh43lKwWUvxFIxwqsxbA2gR3KVHOcemUSrThzBlbQC/jkPmvUWIusxrA/YBagNSvjmPDjsozemPvKVTxaR3E0PcbW4nDzOp4njHsW2kkPokUgs4puB0EoYLMMOqfw2X9nl91VoFJh81I96pYHIeryPHh1n+R0OoEcakxq+GTfv3m52G2HzWZCN5RHfSiI+sLzIKx37nlqcn1ZkIz5kbSCWiBA874VYLOEtFyaWfWBBlvY2XhpGT6YecKFWqiO6kehzypyoFmuIbSaH+EcWjwkWrwmZcB6HiQKPiKRDWd4lnSvfvBtqvRqRvgLPv+DhnecHkS6pXIJzD0/w/CuRWITgeT86zTZBBQeQJq1RA++si3cV5zhdpXwF8e3k0JKdPWCF2W3kUTF7wAKzy4TkXnrI8JVDxQazAoNLPl6luPHK8bmSKQkqxqkCJVIxguf9KBdLSO3msPr8Br8v79WVKyO+nez7dLlQTB8hvpNGfGfgHuQc1HfTKKSPCCrnIOq93QGkSdR3YJerCNrZrDYRXPZDqpAitBLB+gCCqVDLMfvoFDqtLvavhyGVSzGx7EOz3sLBWhQrA2M12vVwThFeXWI3xSsd8/ECohtxRDfieO0H1/APz/wLJs778OSHHsMTH3oUZhfxtjIYDDAYDGAYBoeHh4hGo6hUKnwG4c1ETjcrziH8LFa32/2fsAx3T9c9i1Q5nU5MT0/j+eefH9r+gQ98AM899xxqtfEePx/5yEfwD//wD2i320M30Fe+8hV89rOfxauvvoqHH3546DPRaBRPPfUUvvzlL+ODH/zgyN88PDzE008/zZPcgbNL9ubqXkWquNiDXC7HW1aYTCaIxWK0Wi1sb29jaWkJlUIVr/zzVVz99+s8OXgcymB2G2EPWNFtd9HrMgitjEcZvHMuPsOsfFjlg5FPFofISGRiiCVipPczQ8tbg0XI4i50uwwkEvGpY7V4jLD6Leh1emTZaiUydqyeORfotzxW0iCKpRJkbjpWN3rdHsRvaaxW9Do9dJptHKxFwfSEfya88y5o9RqAuvlYJ5Z9EElEkEjFSO9nbz7WHkPGeoLMPTRWrwmOgBXdTg/ddo8nrQuVf94DjVENiqJQypXH8q9EEhEmln2QyCSQSCVI7WfGcoo0ejX8Cx50uz2I+0unp43VHuif13b3VFTseKxAKVcZO1axVIyJ86QRl0jFNx2rb8GNXpeBSCy66Xnlxtptk6Zp7FgXPNAYbn5exVIxJi8EIBJTb+289kOrL/0/D+Dxpx+GRj+qIMzlckgmk2i323wG4U+iIOx2u3jjjTfwyCOP3PJn73bdjcxChmGgUCjObCM6UGefqL61tYVwODy0/VaI6gcHB0PKPI6oXigUhjKbYrEYfvZnfxZf+MIX8Eu/9EuCf7PT6eCRRx7Bj3/8Y37bWSV7c/X666/jwQcfvCdu9pPKvXGh1LVyDd/52r8idjWD6/+1NqTcIwRvLzrNLg5WI9AYNfCcc6JSrCK2Obz8ojVq4Jl1opg5QmovC5vfDLPLNKKcA4gRptll6Kv6KvwP+GA+H9D3Hpp3Q6FR4GCVKKcCS15UKlVk+5yRobEOqAfVejWPepwkm3NjPcqUkdxLw+o1weI1j3g0AcSnyeIxEU5VugTfvBsqWnnKWEnOXrfdRWDJh2q1ilyoMERg5pzae13S4Km0Snjn3SOKRIBk2vnmCFqT2EkTpKuvUMudCHDmxprcz6CYOoJ31kX4aBtx1I6Gx+qdc/HqtXazDfu0FSqFcsj7C+CUfn6eCK3UKOBb8Axl5A2eV++sizR4W4mxijyA8K/kOinqh03kEwV+rOEbMdRLx80Gd17VOhVBb2otTF7w89FCo2M9ViUSlaQXtaPaEP8OOM7qq/bnwflkccq/wdLbaTgn7MhF88jFCnCfc0Jn1hKO04A4ghurSke8smrl+lj1HufgDxYIrUYgkZEXinq5MWLtcDJX0GDXwzVlRzaaH7FWsHhMUJkUaBRayEbzvKN8+EZsRJzgm3cf3x/FGiYuBHikdlCVKZFJ8OB7l/HULz+Oh//3ecgUwgrCdJqgcw6HA3a7/S1zjd7uqJe3s+5GZuH9pur0umNN1de+9jV88pOfHGqMMpkMXC4X/uRP/mTIUiGTycBisfBrtpylwje+8Q382q/9Gr/fwsICfD7fENoUj8fx7ne/e6Sh+sAHPoDvfve7/L9ZlsX58+eHFIHAvYv2vJV68803sbS0dNf8QzjlXjqdRqfTgdVqhc1mG4l+6HV7WHl+Ay8+e4UsocWyyIWFkQuFRg7fvAdsP7ZlMIT3ZOmtNJxTDnSabUjl0qFomJPlmLDB6ND3f7zZsdwfzq5AqSVvwLVyfWQ5kiupQorgkhcsSx5auXhhLE9JayINYqfVgVQh4809hYprVjqtDiiKxIiM41T5FtxQ0yqABRq1friwwLdcIhMjsOgjyIFMjFz8ENmwME9JrVPBO+dCt92FTClDYieFozE5cSaXEY6ABa1mB2IJQW/GcdU8M05oTVp02h3UKjWkdrKCPCFuaVTSR2SOsuWxnCbOBqHb7kGulCI5EFp8sjQmFfxzXrQbHUjkklPRG3uQLO91Oz0wXQb7K2FBVSKntJQrZRCJRSgfVhEdo7STq2QILvvA9BjI5DKkI1nkxviqcZYJ7UYHUrkEkc34kHXF8FhtsLiN6LQ6fYPP4SZlsIJLRBUKCqiXGiPLrFxxAgGWJYT0fPwQqZAwX1BJKzCx5Ee71YFMLkVsO4FSTpgvaPWaYfNb0G52eOHCOBWvf8ED2qyF1WPCkx9+DEtPzQsqCLkGSy6Xw+l03lRBWK/Xsb29jQsXLozd516tN998E7Ozs2P5yLe7WJYFy7L3m6pT6o6afz744IOYnZ3FN7/5TYhEIvz6r/86XnrppSHzz5dffhlPPPEEPvGJT+DP//zP+c9/6lOfwo9+9CO8/PLLMJvN+MY3voHf/M3fHDL/jMfjeOqpp3D+/Hn84i/+4tDxf//3f38IJeOaqhdffHHo5jjLTdXKygpmZmbuaH4VwzC8q2+tVoPZbIbNZhN0St5+bQ8vfIso90onCLFE5WZAbDuF2lENgSUf/1Ae9H2iKAq+BTcUaoIeiSQi+OfcaNbbiKzHeN8l4PhtnENk9FYaToF8PIBDZNwo5ctI7KThnLRDb6OR3MvwmWlc0Tbi/ZQOZ1FMlxBY9EKmkCJ8I45mdVhSTjhUaoTX4+h2uv18wd5QliDQ96la8vI5aypaCc85J8qHFcS3h00plVpCXOeUjlafGRa3CemD7EgDoTGp4JvxkKYpkh+LdAGAfcIKo12P2FaS5/4A7Ah6JBJR8C95Ie27p0ul0iFF4GDJlTL4l4gv1sFqBEaHgXcoP4lyELWeg0fw3Oec0Fm0iG0mUD7RcHKcpuRuGsVsqb9kJ+V9owbvF+LpRDhNvW4PwWUfWnWytMmeuF+Cy36wDEHFNAY1PDMu5BMF3s2cP68nkCZ70MajnyfvF05pl4nkkIse8hyr0EpkxJjTO0uWqiObcTSrBBUrHZWR2csPmZhKpGLyHRGTJlumkME37+b5Xyfvl8CiF81aCwerEZhcJtgDFqQEGk6jQw/nhB2FdBHJvQxB8Iwanrs2WIO5guV8BRMX/GBZBgcr0aHlQk6UIVfIEFojHLxxqJhCLUdg0UuWSFci5J6YdiAXPUQmMvyCYrDr8I4PPoKnfvlxnHto1AanWq0imUwil8tBq9XyGYQnCdbVahWhUAhLS0sjf+Ner9dffx3Ly8t3LNyYa6ruVBP3NtfZbqoAgkBxMTUURWFhYQFf/epXh3LfVlZW8K53vQu/9Vu/hc997nP89k6ngz/8wz/Es88+C6lUCq1Wiy9+8Yt45zvfye/z27/92/jTP/1TwWP7fL6Rpcfl5eX/UU3V+vo6gsHg2560zrIsSqUSMpkMjo6OYDAYYLfbodVqR95eYltEuXfj5R1QFBBej431suGWWbrtLlFDjeEeDaIsYokYtdLow5wrjsTdaXYgV8sFH+ZcGZ162AM2NGtNKNRyEjg8Bj1yTNpgtOnRarQglkpwsBoZav64okQUAovE6oBlWbRbHT6w+WRxAc5MtwepQopSjjR4QsUhXc16C0qNAunQaEPFFbe82Kg2CcqxEUezIqwy886RZbBOqwuKwlgETywhBpgisQgisYjnwAmVUquAf96DdqsDhVo+YiY6WJxlRKvWhlKjGAoiPlkcAbtVb0Mql4xVz1EU4F/yQqlWgGXYISPMk8UhMgzDQqaQopwfz2lS0Qr45j3otLpQqOXIhLPIxYRRVIvHCHvAhkalAblKgchmbCzS5J11QWvSoNvugaKA3WsH6AlcAxJ47INYIoFITKFRayK8Kqy0U6jlCC6RZkWuko+YhA6W3kLDfc7Z/x4okNhLD0UXDZYjaIXJZeSvwcFadOz3O7Do7XulsX0yvjBXi+NfgWUhkUtRLVbHfr85DzqWYbH05Bye+uXH4J4eVRCWSiUkk0kUCgUYjUY4nU5eQVgqlRCLxc5cxBdw5+N1uP7ibrrf38Y6+03VvVYPPfQQfvCDHwzdIFevXsXFixfPpFx0c3MTbrf7bVtfr1aryGQyODw8hFar5TP3TjZS+USBz9w7KennGgdOZeeYsEGiFqOWq48YMnIcmUL6COlQBr4FDxRqBaIb8ZFlGovXBKvXjMRuuo90kWW4g9XoiCGid84FtU6F8HqM+J/NEZQlupEYUpRyLucAcLASgd6qgz1gQfIgg2JyGI1QaAh61KgQ9Mg5ae+/xSdHlj7IMqUdh4kCspE8Aks+SBVSRNZjI8iFo690jG0n0ag2EVwSRrqOETw5DtaikMql8My4kEvkkI8MN1sSmYR/EIVWIjA69GN5UhxxvFyoIr6VHFAvJlA50RSYnAbYAhbkonkcJo8QWPJCIhWPoI0AQTl0Zi2iW8R7yT5pgZiSjKCNHMoh7aNQCrUcnhnOC2q4KZCrZAgs+dBpdRBaicDq7XO89tIj9xZt1kLn1IBtU4hvJce6nAPD/lfFzJFgnh5XPE9onZgyBha9goiMRCruu/ATB321Tg33tIOgYgfDqJhMJcXEsp+ga6sR2ALC2XtA3xV9yoFCmjRNgz5RI/dWXwWY3EujdFjB5IUAmG4P+yvDDSdFUTzvkJuHkHs6AEjlUtinLFAqFNhfiUBn1sI5aUcmnBu5tzhvrFqpjvB6DK5pB/RWmvfDGizCj7Py5ye47CeN9EoE7RNL4RMX/Hjqw4/hif/zKExOw9D/cQrCVCrFKwhVKhXK5fKZC6MH7rwVxP2m6ub1U91U/czP/Ay+9rWvwWq18tuuX7+Oubm5Owan3s7a2dmB1Wq9rUqQRqPBK/cUCgVsNhuv3BusarGGV/75dbz8T6+D6TEopo/Dgk+WwaGHM2hDvVyHilYhshVD9VCY+0SW4XRoVBpDsvSTxXGfFBo5Oq0uRGIRQithQZRFKpcgsOgFC0AsFvFLQUJF+ERutOotKDRyHGVKY+fFIV31ch1qnQrJvfRYnyzSdNGoV5tQqOS8uajgvPomot1Ol38Ij53Xkg8sw0AsFaNaqiG+KZxnp9YRE89mtQmVVolCpjjWU8vo1MMRsKH2VubVt5BoVlu88enp85Kh0+qg1W4hvZsbO6+J8370egykMglvbilU3IO6WWtCqVWikCqOvV5asxq+WQ9qpf68+pYDQuU+RwjXzWoTMpV8PP+KArxzTqi1ajAMA7DA3nVh/hU/ry4DqUKCRuW0eangm/egUW1CRZ8+Ly4EulaqQ02rTkWauHDmZq0JmVJ26veLMz1lGBYsw47llYllYkxdCPTnJUWjPJ6rxSko65UGVLRyJFB67Lx0KiR2T5uXE3oLDYlcgid+6RIef/phqHXDCH6v10M2m0U4HEaz2YTf7/+JFYR3q+5GU0VR1B2lmLyNdb+put319NNP4/Of//xQLM3a2homJyfP5Jrx/v4+9Hr9iCfXrVa73ebDi09T7rUabVz9t+t44dkruPZf6yOIkGvKDp2FRmQ9DkpEwTvnRK3UGEGEuCUy7s1Ta9LAEbThMFkc4bJwZPBOiygCHRPjuU88TypHODokH08uiHSZnITrkw5lUcqX+8qoUT4RAJi9BpgcRiS202AYBr55N+8RNTgvkYi84UvlMoRWI9DoVXBM2PjMwJPzInyrLg5Wo7AHrDDY9Uj2ndSH5tVv9CqFKuLbSR5FEGrMtGY1PNMuZKN5FDOlsTwpYNhTq9fpwTfvQbPaRORGfGRevgUP796u1CjgmrKjkDoaIS+TeXnA9BiEVqKwek0wOQ1EIZgenRfnnh7fSvL8L6EHvclpgGPChmyUeFoFz/sJH+2EIg84di+PbSfQqrcRXPaRBmZ9mMRPrhdpYA9WI5CrZPCcc+EwNfqgP8m/MrtNsHhMgpwqtZ7Mq14iKKZnxgmNUY3w2vh55eOHyEYPMXHeh1q9juz+4ej16mf4xXdSaFQbCC770KwRBFjoeik1ChysRSGRSeCbdfNo1ui8fP2mqY9i+qxI7qVG0D411+j1mybPjAtKnRzRG4mRZVhuXoX+uZw474dYKsH+9bAEARVqAAAgAElEQVTwvPq+WtWjGoLn/Wg32mTZXGheWgXCazGIxCL45t0opksC85L2FYSP4eH/fQFS+fFvWSaTQalUglKpRCpFXkK4DMJ7/eX6flP136q31FSJ/+AP/uBW/ugt7fw/rf793/8ds7OzcDgc/LZCoQCNRnMmb5pSqQSJRCJIEr9Zccnx+/v7SKfTUKvVCAQC/HIih0z1egxWfngDz37xu/jen/0Hdq6GsHl5RxBhaDVaoM00tEY1dBYt2o0OIuuxUc4HC3RaXRhsNFS0CgarDqVsWfCNlekyYFkWBrseSloJ2qRBJpxHUSDLrdMkSim9TQc1rYRKp0RsKymoCGxUmlDrVNBbaWgMakhlEoTXY4KqqWatTZaPzFrQZhq9Tm8ocJefFgs0Gy0YrDTUejX0Fhq1o7ogT4rpMuh1ezDY9FDTSujMNPKJgqDSsdPqQCQRwWgn+yq0CsS3U0O2BVy16x0oNHKyr04FmULKL7mdrFqpDtqkgc6sg9akAdtjEdmIj3CPWBZoVBow2HTQGMi86tXmCKGem1er2YbRboBaR+ZVzJQEVW6dVgcMw8Lo0ENNq6AxqJE+yAo6zTcqTciUUpgcRqh1KihUhAN3cokLAKrFKrRGDfQ2PbRGDUQUhfBGHEx3dF6VYg1Guw60SQudhUar0SaWGCfuWabHoFFpwOg0QqMn93c5X0U2MsoV6zQ7aDVaMDqNUOtV0Bo1yEUPBRWUjUoTYqkYZpcRKloJpUaJ1H5GUBFXKVShopUwOvTQ6NUQS8SIbSdGmhSWBSqHFegtOuitNGiTFt1OF7GtxAi3j+kxqB3VYXIZoTVooDPTqB3VBJV+ZF5tWDwmMi+DBoepIkpZ4esFAGa3CWpaBZVWicxBVvC7WClUIVfJYXaR8yWVS5HYSY0s87EsUMqWoDNpYbDroTVowDAsEjvJkXuW6THIhLPIRPL4z7/5MTav7EKhlsPqM6NSqYBlWfh8PrhcLphMJpTLZezu7iKXI9dTpVLdc5QQlmURj8eHOMl3okQi0f8Uw9E/fCs73UeqbqE+/elP473vfS+efPJJftvu7i7MZjMMBsMpn7w3KxqNQiqVDjWJp9VJ5Z7FYoHNZhMkum+/vo8Xn72Cl7/z+giPg0OEjrJlpEIZBJe8kMiFOUJGpwGOgJU8LAtVBJe8KJfKyIYKI0sJjkkbDFYdopvkx9837xJGugY8mkJ9jyhnsP9WfOJhIJaK+Tfx0EoENr8FBrsOqf3syFKCQqNAYNGDWrmO6I0Ej5wcrEdHiN46ixauaScKyQJyscN+lh6Fg7XYiP2B1WeG2W1Ccj+NRqWBwKIXrUYbkbVhPhEwnD0olorhmXGilKsgsTPcwIjEIvgXPZD0SfM6Cw2b34L4bhKlzPBDTqYkqBiH9rmm7KAtNOJbyRGVHXdty4dVJHaS8C96IVPKxl/boBXZSB7FzFHfLoDFwVp09NpO2GCw6xDfTqLT6sISNIHqUiOEZI7Po1ArcLAWgUKlgHvaIYgeSWQEZQFLUBazy0g4VQLLekqtAmafARKRFOG1KLyzhAsVFlC5ce7lhcwRj7JIpGJBPo/Nb4HFQ/hX5cMKgst+tFttQXGCd84FrUGLyGYMYDBWvUeJKEws+yDt5w1q9KqxPCUufqnbN5m1B4iiM7oZH7m2nIKRy1UMLPZViaujqkQOaTpMFJCN5nle2f71yBC3DwAsPhNsXgviOyk0q00ElnxoVEZ5ZSe5WhKZGN5Zt+ASIHdtKYrkGOqtNGx+69hrG1j0olVvI7QagWuK8PeErq3Rrsf5983jwfcv44mfH0V8qtUqUqkUstkstFotn0F4LzRYvV4Pr7/+Oi5dunTHjskwDCQSyV3JG3wb6j5SdbvrlVdeAU3TOHfuHL+tVCpBJpO97Qq6t6Oq1SpYlgVN02P34ZQwkUgEoVAIFEXB6XQiEAjAYDAMfVniOyn865//J/7mc89i45UdbFzeQUng7ZpT1uksWqhpFZQaBWIbCTSqoyqgZq0FjVEN2qQhb9diMWKbSfQ6oyqgVr0NnZmGRq8CbabRaXcFESEyhi70VhoqrRJ6K41qsTZCZAYAlmHBMAwMVhpKjQK0WYvDRGHEdBMg2XViiQh6qw5KrRJaoxrJ/YygaqtVb0OhUUBvIWOQq+WIbSbQEkBO6pUGQe9MWmj0JM8uciMuqIRqVJvQW2loDWpojRrUqw3y0D1xCliWRbvegdFBxqq36lAp1JANjyode10GvR4Do10PpZagfflEcWR5h5xX4jdlsJF91TqCnFQFULFGpQmlRgG9VQcVrYJMIUN8O3kKKqYFbdZCrVOi1+shtZcVVOTVS3UY7HpoDGrozFq0G21B93amx6BVb8PoNBC0z0KjnK8iI+AV1m13wfQYWD1mqLRKaI0a5OMFFDOjXLFWvQWRRAyTwwCVVgmVVonkfkYQZakd1ck9aNdBpVNBqpCSxlHAV6x8WIVKr4DBqofWoAZYILqVGD0HLFAt1WHsnwO9mUaz1kJidxQZ7HV6aNZaMDkNUNMq6MxalPLlkeYLANrNDnrdHsxugoppDGrk4oeCnlIcgmZyGqHUKqDQKJDezwh+x+ulBo+gqWgVJDIxErtpQdS3nK9AZ6WhN9MEaeoyiO+kBJGmSrEGk1MPjV4D2qxFs9ZCan/0O95td9GoNmFxm6CilaCNWpTzFUEH90a1iUKyhNhGAv/x18/jMFmAyWnkUw1kMhlMJhM8Hg8UCgWy2Sx2dnZQrVYhkUjuql8Tt7rgcrnu2DFZlr2PVN2kfqqRqi9+8YugaRq/8iu/wm+LRqN8lMpZq3Q6jXa7Da/XO7SdZVk+c49znx+n3Cukinjx26/ihW9dGSHNkiw94h+1fz0Ck9MAi8ckqBrjuE/tZgfhtSjc55zQmjSIb6dGlnPkavJ2XSnUkNxN8byW8HpsxPeJM/jMRQkachr3yea3wOQyIL6dQqfdGetnBQCeWSc0eoJUSOVSuM85UcqOKsxEIgqOczbIlXJE1+Mw2HSw+oSVcydd1p2TduistOA5UNFK+OY9qBSrSGwneaVj5MaoBQVBxRzIJ4o4TBQQWPKCoihBpaPeQcPhtyEVyqJRbfBv8ILnYMYJjVGD6HocIqloPCrG+1RJEFqNQmfUwBaw8vmCJ8/BoHu7I2iF3qY75Ry4eWSQk+ALyfS5kOt8oohsJDfW5Rw4Ro+Se2lUj+qYOO9Hq59RN4IecT5RfcNO35wb5XxlxGxUJKIQWPJBpiCqRLVONdYRnXeFZxiErodh8RJPtujWaIi2ilbCv+hBo0yMW/3zHnSpDg4jR2PPQSF9jKCJJWJBnpIQgtZpEe+w0fvABdqkQWw7gV6HgX/RQ87BltA5IMjlwVoUCrUCVp+RNOiJ4QZd1r8P2L4ZKYcixrZGFYwct65ZbeFgLQLPrBsavUr4PrDScE07+vYjKQTP+yGVSrAndA76Ks5MJIdiuoSJC34+9PvkfTD1QLCvILwEg31Y+MMh/KlUCuVyGRaLBQ6H4466mgN3x7T0PlJ187qlnf+n1fr6Osrl8pAvVa1WQ6/XOxXtuVer0Wig1WrxS5eNRgOJRAJ7e3uoVqswm82YnJyE1WqFUqnkG6raUR0//ofL+JvPfQsvf+c17LwREnQNJwn1PYLcaJQwWHU4TBUFfZ+YLgORSASdlYZSQ9CQVCgriHT1Oj3IFDIY+oiQilbyBpQnq1lrQa0nb+BqnYr4Lt2ICyIBzWoTtFkLrVEDrUEDlmERXo8JZtm16i3orTpo9CrozES9JuRPxLJAr92FzkJDo1dDb9GhlK+MEM+5c8CwLIx2PRQaJXRmLXLRQ0HFUqfVhURKECGFRgklrUB8JzkUmXI81nYfEaKhopVQqGSIbSYFeTfNeotwY/rjFYkoRDYSgqqterkOvYXmEaFOq0vOwQgqRq6DnuN/WWjUSnVBNRrTZdBpdwlqoVWCNmtRTJfGcMXIQ9DYR4S0Bg0y4Zwgp6pZa0GmkMJo1/e5Rwp+uelk1Y6IWsxg00GtU0EiFSG6lUBXADmpFGvQWwjviDZp0OsyiApwj1iWoG1Gux5qvbp/zzQF0SOmx6BVaxGkS0fu3XK+MoZX1kWr0YLJqYdap4bGqEEufohqYRQVa9ZaoEQU4V/1vzepUEbwe1M7qkOhlpNzSyshVUiR3E2jJYAiVg4r0Jq0/e8D4WfGd1Ijy3wsS9A2g00H2qgFbdSiUW8iE86P3DO9LoNauQ6T08B/x2pHdUEUsdMiHDSziyBNWoMGxWxJkDfZrLXA9liY3SYoNUqodSpkY4cjlgwAuV4SuQQWlwlKrQJylQypUFYQTS6kiiimj3DlX9/AC9++AqbHwB6wQCqXgqIoqFQq2Gw2uFwu9Ho9RKNRhMNhdDodKBSKO9J0NJtNlMtl2Gy2t/1YXLEsC4lEck8sf96Guo9U3e76+7//e9y4cQO/+7u/y2/LZrOo1+tDGYNnpQqFAnK5HNRqNTKZDMRiMa/cOxld0252cPXfV/DCs5dx7T/XRqB5ko9nJA+fdhe+BQ9atdapKM/BWhQyBUF5yvnqCDeEU1dJZBLCizDTsAWtSIbSI75PnJcS0+0h1FfDGe36vmrsBPdJ3c9YK9cR30zCPeuERqdGbCsx8uPK5e4VUkfIhHOE/yWTILweR6s+yiPhFIHlwwoZD8PiQMCU1BG0wuAgbuTdThf+OSJ/P6mcA459sgbP1zieVGDRA3Gfv6OzEJ+st4KK2SesMNj0/Vy14Qcyjwgd1RHbSsIz64RapxJUD3Ko2ND5kkpwsD7qPWXx/P/svWmMI+d5LvoUWdz3fd96X6Zn1cxosSwpSBQv5/pHnBMd2wFy4ASGY8C+COQgCy58A/+JkA1yADuLHfjkBjeOj2wdxEkcX/tYlrWONCPNdM/SO8lms5tbrySbO1n3x1dfNYtVxR7ZI1mJ9f6S2O9Us8la3u/5noV4heVSBVR2q4KbfWohI9nOCY0T1I4qDb0jLkCJU8UrvJILG9AZtIhMhWTNK9WsGiNnKe9mAw6fFf64D7lUQbK9qzNo4RlxQqfVI3kjjcCYH06fXRY9ojYNNMdR4NYtZCTbX9Qnamd7H4V0UTF7DyDXmJfPSizvVjB6No5Woy2LoEWmQ7C5LNhYzKLb7hKfqP2qJKuRoog6gw6pm8ef105W6n8l8JQArPOfly/ulfX10pt0SJyOoVVvITmfRnA8AIdCpp/JYUR8JiJ8XvFTEYHvODj493O18ukSxs4lwKgYJG+kJR5ggVEfUY6u5VHZq2LsXAJNGVUgwPuF2c3YWNxEr0MyO8slGcRRrUJwwgu9yYDs0jb0Bh3CU0HZXEOtXoOLHzyHR554ABc/cFakIASIQXWhUEAul0Ov1xMyCN8uBeH+/j5yuRxmZmbeluPLVa/Xg1ar/c+y/fceUnWva3NzE7dv38Yv/MIvCK81Gg3U63U4nc6f4Tt7a0X31jc2NlAul2Gz2UTKPbqq6HZ7WHj+Dp7503/BP//l97B6bR13Xl6WV+7VmrC4zLA6icqt2+4qOoE3603YPTaY7CY4fDbUDuuynBeOA9qtDhw+wrmx+2w4KJRR2pCu2HvdHrheT1DuWd0W3lRS6hreaXehUqt41EIPs92E7dWcrBt6q96C1qgVUAsapCyHcIgUgXYzb2S5Kft51St1gSNkdVrQ6/YI/0vm8yI8KRssDsINqR4cYUtGOUd5Ug5euWf3WnFYqkgejgBBhDrtDq/yM8DmsmBnax8HMn5S/YiQwaqHxW5CLlmU/byatRZYHQuX3wGj7RgRknPNrpUJl8bhI+cCq1Ujs5iVRYSqB0ewOs2Eg2Y3ottuY2ulIPt5VQ+O4PDZYHFZYHPzirxFGSS1x6FeqcMVcPCKPCsqe1VZFWm300Wn1YE37IbJZoTNZcFubl8WQWs12uh1ezz3iKgSC+kSyrvyCJqKVcMdcvDnlwFba3nZz4uiR66gAyabCRodi+xKToF/VYHeooMr4CT8KwCZRSn/SkCPvDbYeMSt1Wwju5yTDB69bg/VgyO4QkTBaOXVqXJKv067i8ZRg1fkmWBxWnBQUEAcG2102l0Srmw1wGw3YWdzT1HFyagYQRVoMOuRSxZRq0jRtur+EXQGLXkPNhNYHYutlbxELAAAh6UyLA4TnAGerwYGW6s5CULLcRwqe0dweK1w+Ox8FmUH26s5ybnY7fAKwnQJ3/8fz2P56hr0Zj28UTcYhoFarYbVakUoFILb7RYUhMUi+TwNBsM9RXiq1SpardZPbaHzVorjOKjV6veQqiH1c41Uvfzyy/i7v/s7fOlLXxJeOzw8RD6fF5HX341FnYELhQLq9TrcbjcsFguKxaJk5bL6RhIv8Mo9JQ+dgwLJwxvmWm73WhEaD6CYKWEvd6CYzwfwDucRF7ZW86jxCrdup4vUzU3Jjc0dc8Lpc2BrKQcOHGIzYdSPGti4JUV5YrNhwrNZyEBn1CE8GVBEeUbOREkA8XwaDq8N3oQHO9k9yQp00PvKl/DCGbDLKgINFj384140q01srxQQmQ7B4jCSSJsBArvVZSaoCu8IH+fjauQyAh0BO4KjPuRTJRwUD8l7B4PUzYwERfTzLuvZ5W00a00k5qJoNdtI39yUPGQ9CRecXjs2F7fBgEHsVAjVg5oswkG9p5ILGzCY9QhP8Iq3gW09qqAEHyXk8Nvhi5FsOwkiZNQhcTqCZq2F9M2MgKBtreQkhGiT3YjodBjV/SqyyzkSmWOXV+TZfTaEKSKUKgjGlOvzGxJivDfmhjfqJo7oxUOMnY2j2+shKRNVExoneXaZpS00a02MnomT+JcB7yeqOKU+WiqVSlG9R3MdqWLQaDUiPBlAaXNXsv2l1WswciaGbof3vwo5obdrUS4cSa5dqnKjZqjhiQBsCo7kVrcF0akQDktlZFdywnuXyx+kJpulzV2i9DsXh1otz9XqR4/Ku1WEp/3gusDmnS0Joh2dDsHKo23tRhsjZ2KyEVMU0abpAGqNGrEZef8pVsti5HSMz8xMw+wwIzQur4wczBX0RIi3WOpWRoLmmu0mRGdDArctPBWEzWVBSsb01RV04OFfvR+PPvEgxs4nMFj9CkKz2YxgMHhPFIT5fB5HR0cin8W3u3q9HnQ63X+Woeo98897Xbdu3cIf/dEf4etf/7rwWrVaRSaTeUch1bstjuNwcHAgmNU5nU74/X6YzWYwDIN6vY61tTXMzc1hey2PF/7nFVz/4S1odcSbSCnHjpo+1ssN6C16pG9lUC8Pz+dr1pqCxFtuZU0NPbUGjaDsS84rZX2pEDsVAcuqwTAqIWZErnQmLRKnyI1Rq9fg6KCmmM1GCK8hNI5a0Jt12JcJUqZl91oRHPOjVqnDZDOikJYOCLQcASvcERfa9Q5MVgOyMgMCrcCoD06/HbVyHVqjZmjuHhnQTGjUCF8otZCR5UkJbuQmHbqtjkDQluNJqdRkO4hlWTAMQQqHZg/OkS07jY4VApvlymAleX5E9agTQpDlysIPl7Uycfgube6gKMMnAnj39hEfaod1mOzDXbP9CQ/cYRdq5ToMFj027mQV8/Qik0FYPRY0j5oCsVoxo44PPG63OlCrVVi/kZZVrh1n7/Eebp2uYqYgq2Uxdu7uXOH1Zh1G+Cgng9mAXKaA3Yx8rqPRZhBI3SabEbtbe7JIEwA4/HaEx/2o8o7k+WRRVhEHAN6oG96Ym6CPFoPstigtMohaUa820VP1kF8tKud7ngrDZDUKn21yISOrDmUYEOsKLaEtdLuE5D8sK7DX7UGjY4XgaLlHoc6o5YUKLRjMOlT2jgRRwmCZbEYiGqhQF/sT8hKngmg3O4LJaGBEzHXiOA7lchnb29vY3d2Fw+FAMBiE3W7/iRSE2SyJQorFYm/53/6k9d5QdXL9XA9V2WwWv/mbv4lvfetbwmuNRgMrKyvvmsRyjuOEzL29vT1YrVb4fD7ZC7GQKeF//fW/Yv3lDNZviIcSii70eBWWK+CAj8/SKgyE22oNZLVcrxK0yD/ihSvgQD4lDe01Wg2In4qgvFNGdiWP8GQQVre8ys/qMiM8FcLO1h6K6ZLgUZO6mZE4MFPPo1yygINCGYm5COE+3dyUkGt9CQ9cQSeyy1uoletDFYGhiQBZLd/eJNlsp6JoNqQeUUKWnlGH5MIGNFoNojPUJ2tgZc3n05FoHOIjFJoI4qAgjeohPJYoum3x91DM7EiIy5QrRvMECUJlV3aPnw3jsFjG1ir/PbjMSMkMyARx9KO0tS98D3qTDulbUgTNE3HBG3Mffw+no1CzJM9vcJgOjPlI3uEyERkQn6oeUgubEpJzZDoEs93IW0l04RtzQ8WpJehkv8v5+o00tDoNYrMRlPcqki1mlj/HGYbB2o00LHYTwpNB7G5LBw2tXgPvmBt6jQ7r8xtwBZ3wJzyygwY9x4/KNf56UM7eo4jQQekQ2eWcoKRL396UmLNSPhFFrEZOx6AzaWW5R/6EF+6wk0QEFQ6Hco9oREtmiVwPY+fi6LS6SM6nZc9xo8WI9C3Cexs5E0PtsI70bbGnFEF+Y2A1JLiafA9hHPCqO9H3oGUxeiYGjvcLszjMCE8GZHlKAler0SLXA/89yPlPEfQojNpBDenbm0J24cadLCp74gUjRTIPigfIruQRnQ7B7DQjNb8h4cHZfBaExgLY3don38OZGLR6LZLzacnWYj8yt184xNj5BOGkyfh1Tdw3ikf/24N4+Ffvh8NnE/2M4zjs7e1he3sb5XIZbrcbwWDwLSkI0+k0WJZFOBy+63/z09Z7Q9XJ9XM9VFUqFTz++OP4/ve/L7zW6XSwsLCA8+fP/wzfmThzz2AwCJl7gyfz0WENV77zBl7+X1fRarSwncrjYFuqsAMAs9OE6FQIjVoTBrMe+aR0SKJl99kQGvOjXiXeQ5vL24orVXfYCV/cg3q1Ab1Jh41bWVkPHwDCgNaoNaDVaZG8uYHmkXSlChCJv8VlRqvRFhADOT4TAIHM3O100etxsls7wDH5m9VpwDDgQ2rlEQNWq0ZiLgZGxUCtURFU7I48KtZvuqjRa7C7vSfrEQUcE8VbjRb0Jj1KGWXkxuo2IzwZROOIfGfDcvfoFmK90oDeTBzGldBJb9QFT8QtZL4pZQ8CZFhy+uxo1ptQ8+aig9u9tKLTIZgdJrRbHTAMFHMKKdqmN+rQ7nRQq9aQWynKImgqtUrYglKzKtQqdcXvjObp9XocNDoNbwUg/51p9CzGz4+g3WxDZ9QNzZ0TMgVrTRjNBuTTBZQ25VEeu8eK8GQQ9aMGDCY9sqvS6BpadKutUW1Ab9IjfWdTEW3zJ4gtQqPahEavGYq2+ce8cPkdaDeP0TY57hFArh2T1YBul0Ov28P6jZQsItSf/8eoGDRrTSQVUE81q8Lo2QQYhgxZ1cMjWUUxwG95no2j2+5CZ9TioHgo684PkC1PguIRpKmU3UU+JVUQAuR+RwUjRgvhaikhc3afDZGJAH8P0yO7vI2Dkvx91BNxwhf3onHUhM6gJQipjNoQoEOYEzqjFu//r/fjgY/cB6NFHIHW7XZRKpWQy+XQaDTg8/kQCAROjEpbX1+HyWR6R+1/er3ez9Sb6x7Xe0PVva5ut4sLFy7gxRdfFF7jOA7Xrl0T2Sy8U9VqtVAoFFAsFocq99pNotx78ZnX8OYPFiQ3y+hMSFAnAeTh1Wl1kL4pRgwYhkH8dAQanQbJG2lo9VrEZsOoVxvI3M6KVrVqVo3EmSjAAes30jDZjYhMhVDdr2JzUcwhoflhrUYbqYUM7H4bQqM+7BUOJfwcvUmHwIQXraMWtlYKZECLeVDclCI31L/moFTG9mqeH9Ds2JbhPlGHc4qKhSaIq3J2WeoaTlExOmSS1btBdtDwxtywes3Ir5dwtH8keBWlbm5K1IOBMV6BdyuLxlGDoCgq4ic1uJ0UnQnDZDMI7uNUOTf4nQ3mCapZFeJzUZLRN4DyqFk1/OMe6PQ6bNzchN6kR3Q2hOrekcRzaFA9aHFZEJ4MYl+GU6U36xE/FUG9WsfGrSwfJE04OJLvrM+RPbu8DW/MDU/YJavipEpDuk0bmiAKM7mtJzqMFDZKKGV2EZsJw+Qwyg70FOWhW4kjp2PQGFgk56VoG+UlbS5tobJ3NFS9F5sNw2Q3In1zE61GmwxznS7W58UDvYC28Xw1jgNGz8rn9LEaNRJnYuR33khDq9fAFbOD6aokA/0g/8poMyA+E8HO9p7E4sNg1iNxOipsjdm8xONKzldr0GmdDhFy6JHgE1UkXC1XxA53yIXcakFynbnDTuE8KaRLZEvWLc9T8ie88ISdwiCUmItCb9YjOZ+WoHjhCRJ2nV3exuFOGaPnEop+XbHZsJBQUK/UMXougUq5gsLajux3RnldnVYHo2cTaNaHfGdqFVLzGwKqV90/klATdAYtLn3oHB554kFc+OUz0GgH7u1vQUG4vLwMp9MJj8cj+dnbVe8NVSfXz/VQxXEczp07hxdeeEF0kly9evUdG6o6nQ5KpRIKhQK63S68Xq9skGev18OtF5bwwjNXUNzYQWWvqsh3odtRGh3xE6EPNLlitWoSqaJiwGpZ2RBjWjqjFvG5KLguSZ8vbpQUV+sGqx7xmQg67Q60Bu1QhMVoMyA47gM4BjqDFptLWyjvyCMslPvUarT4uBRlVIxaIjTrLbAaFulb0m1GWt6YG56IC61GCyo1IRTLccUAwBt3w+o2Q8Wo0e10eMsA+UspwptJUrWZnNEgrfipCIxWAziOQ71KyNFyxagYjJyOQqPXQqViZG/etFSsCvFTYWi0GrBaVpbsS4sS9rkeB41eg1KWDKRypTeTrclui3y/hWQROwqoJw2Abrfa0Ok12FrNy+beAcfIXLvRJt/vEJ6U029HaCIg8PvkHs60PBEnfAkvWvU2z+WRbrHR8o/44Ak50W6S71/OSAr8GbgAACAASURBVJJWeDIIh9eKTruLTruL9RtpWYQUIHwis80EjiPq2uR8Wpb3wzDAyJk4dEYtGIZBKbeDYlIeyaQoHsuqodaocVgsS2wDaKk15GGvYlTQGLSEf6WAzGkNWoyejaHX6UGr1yK/UZT11QJ4wvzpKDrNDtq9Dva3DhWROYoeNRst6PRabC5vKfIR7V4bwpNBtOrk+924nUX1QP5ccIecCIz6+GtdTaJ2FK51X9wDb9RNrm8GWL2eQlcBAQ9NBOD029BuddHr9LA+n5blLgLHxrEcx6FZbw291kdOx2Di44YeeeIBzD08LRlUGo0G8vk88vm8ED/m9XqFRfadO3cQCATesUg1juPAcdx7Q9UJ9XM9VAHA2bNn3/GhalC5RzP35ODetTdTvHLvdclQQlb9TmT4bZ7obAg9VQ+HW2WJEo3m6G3cyqJWqSF+Kgq9WSeLxtC8Oarqo8olOS+n+CnCx6Gr85HTMTAqSNAY6r6s1qixfoNfzZ3mnbYXMqJwWzWrxsgZ4r6cnN+A1qBB/FRE1glcoyPqH0LA3oDRYiS8i0NCYO+/HqgSrV4h/lEWlxmRySDKuxXJdgPdoqvuE1SHbofK5Qma7EZEZ0I4KB4it1aEO6jMk6IKylJ2F8WNHXjjHnhCTuRSRewNDCX9Plm72/sIjvlg99lklXMUAdpazeGgWEZkKgCL04zUrU0Jp4oeJ7O4herekUjFNrid1J89WK8QvppGr0F6ISPitgkcNH5l3250yANczSA5L3Z6F7ZgeUd2rteDf8ILvVYn4V8RnlQcYAhCqmbVGD0TQ7NO1IT95wJBbuLotDtYv5Hm+TpR1A6kHCG9SQfPiAsalYbnwZkU1XsmmxGxU8TXa+N2VuBNyeUPWl1mRKcJmppd3obTb0dwXN5p3eGzCc74+WThGBGS8YmiKA89TmDEC1fIic3FLRwOoHj9/Ku93AHCE37YPDakbmUkZrIhHuXZ4re7ojO8e7mMBxcZGkhWYXXvSOCArd8QKy4HM/3q1QZxe1dLET+6ANTqiDN9p9XB6LkEuB4nGVCJ0i/KI4dkIB0/n0Cz0UJqXuxVpTVoyf2FJ7izWrItXCtLMwi1Bg1GzyYEXpfBrEd8Loqy3LlgNyI2G0G9XEfqZgZmhwnx2Yj8ucCfJ+XdCjKLWwKZXU6Z6A458f7/ej8eeeJBjJ6NY7COjo4EBaHJZEIgEEAul8PIyMg75uROP1+9Xv+O/L53oN4bqt6OOnv2LH784x+LuEpvx1BFlXv5fB7lchkulws+n09Q7vVXbr2AF565gqUra6hVali/Ls8PAngFVMiJTqcn3BSUvtXguB8Ovw29Dod6ta6IhAAgEmK3hfi47B9hU4FLBPCKHpsRDMPgsHiI7Io8EkJ5NAazHio1wz9M5FEx4War10DNqlHcKCnyjtQa8qBVqVVgtSxy6wVFrhhFY8BzPbaWc4qoCYnPIWRrVquWNdKkRYewbqcLVsMSBK0s32t2mBCdCaHT6gqWFEqrapuHbMO1mx2oVAySQ/hMlFPVaXX4gVSZg0Ye4B50Wt2hqjXgWGXX7XSPzRYVVuDBMT+cATt6vR55gA05xyJTZPun2+1iv7CPggIaAwCJuSg5x1QMDgqHimiMgPKYdFCzauxu7co6vQME8Rs7F4dGpwGrUSOfLsmmAwC8wuxsXHSOKfFzKK+L/vfmsjKnSm/SCYR+VsuS4GMFlNZoNSBxmogc1BpC6ldCbswOE+KnIui0OmRbagj/yuIyITZDehmGGYriUXSw0+qQ2J35DVllJEDOscCID512l9gYKKj3AIIe+aJudLs9NOstrN9IK55jBD2yg+txqJXrSN2UV/oBvI2Dmwwdw9B9gJxjRhvxkhp2jgFEmagzaqHWqLG7ta+I/pJzLAFWqwarYVHM7Mi6yAM8D+1cAkaLAacensKjTzwIf8Ir6qEKwlwuh2w2C4/Hg0gkIhs5dq/rvaHq7urnfqh66KGH8K1vfQtms1l47dq1azh//vxPrXCgyj2auWez2RSVewfFQ7z07dfxwv+8grU3U6Kf2TxWhCcCyKdL2N3a4zlKfuzLqMvMLkJGzyWL2M8dCKiJnMrPE3HBE3Vja2Ubh6UKIS9H3bKO3URh5xDQDeqVlE8WJKvq4Lgfdo9VGCyCY37YfVZsreQlaqnIVBBakwabi9to1do8wmLhfZ/ED5fYqTAMZgNR5dTbAsKSubMl2gKkK2WtXsMTpTuInyIWBIN5giLl3g2ijho5HQWrk6IxhL8UQbfbxcatLFQqFRK82iw94CdFeWXU+0pQX3Y5gTdFS2fQIn46imaN8DWotUG72eZjdY4fRAYL4TMdHRLSvN6sQ/xUBI2jpoRTZbIZ4RlxollpI7dWOHZSP5QS7vs9tXLrBZjtJkRmQqjIoHiD6kGrm+df8f+2v5xBBwIJ7/G567MhNObDDq+06i/ibebGdrJAzl3Km5JZ2VMVVnaJICzUi0qO90M5NxuLWVR2q/CP+ODwEzf3wSE5Oh2CxWVG+ibxxgpP+GH32iXO4cfKOYMwsNDtn8FtSCEjT68VBhYirDAgtSD2iVKzaozwCsv1eWLl4B/3wOGySzy4qCM6AAHVUUKECHITQ7fTEZTBY+cS6HY7SC2Iz7FB93S1hsXY2bjAt+tHB6kysl4hfk6sVo2Rs3G0G20J92iQq0UHSjmvKpvbgshUSED86EB5WJKiR06/HcExP/by+9heKwxFjwZ5XVa3BbagBa3DNgob4vORZgXmU0XsZPeErEU5hWi/KnCv79zdWslJQrqpOjO7ksNB8VA4dzOLUu7g5KUxPPrfHsT7f/V+2Dzi6LTXX38d0WgUOzs7ODw8FBSEcgv1e1HvDVV3Vz/3Q9UHPvABPP3006Kk7xs3bmBmZuYnjheo1WooFArY2dmBwWCA3++H0+mUDGm1ch1X/uUNXPvePA53ylh7M63I4zFZjYieCgMch16vh/XryigERULAO5gPWyFa3eRh2utxaDfbWL+uvEIkNxU/el2O54QorxCdQXKj43ocaocEKlcqZ8AOZ9gOnU6H6oGySgjgjRxjboAjrsmDhOv+8o+QbRBwwH7+QBKO3F/BMT+cQTLsFjMlFFLyiAUABMZ9MNr1MBqJn5USugEQYqzFSW5yuaQ0LqW/4nMRmGxGqFQqbK3lsLct78/EMEDidAwGix4qFYPNpW1FtI1RHT/8VSrVUCRErVFj5HQMrI44Jg9DQlgt2ZZTa9RgGCB9c1ORz6Q1aIhRrFoFDhxSC8rInM5EHv4Mw5Dw3RtpWR8j4Bi5AUfcwdeupxRRE7PdhPhcBBzHodPsYO2GMjfG4jIjfioCrke4MevXlXlSdo8V0dkwep0e6keNoTwap9+O8FQQvS7JwUsvZBSvH3fIidB4AN1uF8WtkiKnCiCeUoERLziOLM6U+HUA4Yv5oi5wHIf9/HA0JjDqhSfiBgDsZPcU0RiALI7sPhuqlSpqe3WS/6dQsdkwrC4LGBWDfLIo2Rbtr8TpKMw2IxiVCttreUV0kCoTDWYdGJUK2eWcor8ZRSi1Bi1UKhXWFtKoH8ifuyq1CmPnE9BoWTAqhtg3KChq1Ro1Ji6MQKVWAQyGXj8aHYux8wmoVCpwHMkkVb5+tJi4MAKr24L7/48LeOAj98Fg1uPVV1/F5cuXoVKp0Ov1UCqVsL29jXq9LigIjUaj7DF/kuI4DgzDQKfT3bNj/ozrvaHq7agnnngCn//85zE1NSW8dvPmTYyNjZ0oae2vZrOJYrGIYrEIlmXh8/ngdrtllXtvfH8BLz7zGt74/+ZFyj266jsoHmJ7rQCNjuTfcT2p55LZYUJ0mrp1F3l0I4rKYQWF5K7ogUH8oYKCm7jOpEX8VJQgIQMu3HavVeCA7GT3eMJ5GA0ZPpMzQIwac6kC9rYPyOA3G0KtUkfmtpjPRFV9W2t5HBQOYXaYEJkOorpfk/gNUa7YJu91ZXWbEZ4I4nBH6pxOvZsogkaJ7PQz7C9qckrJ7Q6/DcFRP3a39ySybP+ol6AbtwkniSJ+pc1dyRBF1JZGgQjviTjhjXkkBqLUhVtv1iPFIxYCp2oA8RPQNoNWIM0LPlUDRG+KtqlZtbDlR9HBjdubOOp7YFB3b2p30O30BE+rzKI4K5HmL3K9HpLzxMeI5hYOcvEEV/o+c9FjJEeMDuoMWiRORwVeFMcBgXEvbC4rUgtiFSVFTRpVgoTQh6dGq5H4CBmtBsTnooKPETXnlFPvmexGuGMO9JrA5tKWYAEAEJf4zsD1E5nm3ciXc8TI82wcHd7zbfD6CU8EBdREo2Mxdi6BVrMtQXmcAbLw2OFtASg5XE4VSJEPyqmiBqFyHCFvzA1f1EOG+K094XOp7lUlA9cg/4oqbPfy+8gnxdcE3drNrpDtTEo6l0OE+r2yyDVM+EU7W9IMQooOUlECIagHJAglwzCIzYRhtBuR4Unr9DMc3PKnCQGU11Ur1+EOu+BPeLG1si1CjxgVw3tTaYSteG/MDW/Ejc0lMWeN8j2ptUiz1kJgxAtn0IHMnS0Rui5wwHj/ulajjeAYoWBQJJSWVq/hrzUI3DLq4p5c2BBt3eqMOlz60Dn4zjjw6//nE2A14mdMp9NBoVDA9vY2er0e/H4//H7/Tz0McRwHlUr1tmUZ/gzqvaHq7ajf+q3fwsc+9jFcunRJeG1xcVHIzRtWg8o9n88Hr9crq9y7/dIyXn72dZQyu1i6uqboWE6dyI02A8ABa9dTiqt6qgIz8IqxtTdSilwINUu2qvQmHXrdHlbfSCmiYnSrSmfQotvpYfWNdUVUjMD9MWh1WnTaHay+kVJEADS8BFyjZdFutrH2prwfDnBsQMpqWLTqLawNQQt0Ji1GzsSgVqvRqDWHom1UqaRSq1Ar14dy0CgSwqgYHB3WkJpXRttMNiNBTRiSUTaMS2R2mJCYiwAADncryNxWRhYoagKA8DyGIHM2jwWxmTA4Btjf3lfktgGA3W9DdCoEgMNOVpkTAhDUMTwZBDigmNlR5MEBgCvkRGjcDzBAPlVSVA8CZPs5MOZHt9vB1koOB3l5tA0gnBvqUJ1dyWEnq4zc+Ed88MXdYABsLm0r8usAMmh7wi4wDLBxZ0sR3QAIz9AVcAjInJKPEUAGBWL4yCB1K6Po8QYA8dkIrB5yr0kubCiqHQHC+7E4zSDDX0YRCQGIbYPJbgLX7WF9fkMRCaHu5UarkaDgN9KK/CtGxWD0XBxGs16wchiMuaFFUR6dUYtuu4u168qoo5pVYfzCCDR6DdpNgq4r+WqpNWpM3DcKVqtGu9HG2nVldSarZTF5cQRqlkWz1hyKUGr1GkzcNwqVikG91hyK8OuMWkzcNwKGYVCrNCTDdX/pTTqM3zcKhiF5j8kFZTTTYNFj/MIIAHIfUXKGBwCdWYtTD03DG3XjkV97ALMPTUq2/ZrNJnK5HPL5PFiWRSAQgM/nkyz276Z6vR7UavV7Q9UJ9XM/VD355JN43/veh1/8xV8UXltdXYXb7ZaVqna7Xezt7SGfz6PRaAxV7q3f2MCLz1zBS8++LlJ26QxaJM7EBIUaQMiXNo9FouyiCqbqfhWbSwSloaaY2SWx55LBood3xIX2UUdAaWh+GvXdoUVQsTAOihXhgUqRhczilsj9mXoN7ReOY15I8rw0I9DiNCEyHcLe9j7yqRIhp5+KQmfS8gqy45s1dVgvbZZQyuwJ21oavQYbtzZFN2vCK/OjmNlFaXNXGCjluE+Ut1Pg0TaaA6hm1UgtZEQ3a6vHgtAYQeZ2t/fJ8Hma95xZEJNwqRpva5WgbWoNRX2I91T/jd0TccEbdWGLdz+n1hUEdRRzqrwxN/FR4r97ilB2Oz2JT5U/4YGTd48v71RFCNEg6hgY9cFg06GQ2sHRfo0Mqrx7dXrAQZ6ieJnbW6geHAkkfcrz6r+vUM8vypnTm3VInIqgVmkgc0eMUEamgrA4TUjfIucJjbeRc6anKFhygRjC0my7QcuIfj4Tlc4rqfcYhvCZ9EYd1nmPI7PThMhkEKWtHexkxOgG9R2j/CW6PT5oRUHVqxqdRjDWtHkID2gwKkbgSWnUwgBA0ZjB/L9BV/huuwuzy4j4TFSC3AicKt65vNvuCsjNIO+HcPzihFzODwsU/RpEeSj/qtPuCMOCJ+KEO+JCdiWHSt/2sc6oReJ0DJ1WRyCXU45Qdlm8LU3vZa16W7CT8MWJoekgn4h+941qUyCiUyf7QQd1iq5RXhcAAREa3IITXNkPawLC54rY4Y/6JFw4i9OM6HQI1f3jKJvIZBAWt5moI/vvZTRbsc9slhrhDuYr2jxWRCaDhL7An6s0/mv9htiHiypEDwqHyPIofZxH4FbfTIoWu56wC+//tQfwyBMPYOS0NLqmVqshl8uhUCjAaDQiGAzC7XbfNXe41+uBZVloNJq76v8PUO/uoerll1/G+973PtmfffrTn8Zf/dVf3atfdU/ri1/8ImKxGH7lV35FeC2ZTMJqtcLtJnwCjuOwv7+PQqGASqUiZO6ZTCbJyiCfLOLFb7+GjVubWHh+cehK0hNxIjQRBANg5VpS0W8JIA7YwXHinLtyNam46gQI4Tc05gcHYOXauiIqBpCHtH/EC67H9yqsUAGy1eaLewAOWL66poigAcT40hv1gOtxWH59TRFBI8f1wOwxwmgwndgbnvDDFXah1+1h+fU1RSUcQLYgXCEHup0ull9bU+TbAEBkOghn4O56w5N+6G066LR6LL++pojiAWRQtXms6La6WHp9TXGVDBBOlc1tRavZxsrra4qrZIBwTay82/zK1fWhvdFTIdg9NrTqLaxcTSquqIFjdKNVb2HlmnIvwwCj5+MwWoxoHjWx8kZScfXNMMDY+QQMVgMalQZW30gqrr7BANHZIMx2E6863Va8SzEqBpOXxqA3anF0WMPamynF46rUKkxeHIXOqEX1oCYRg/SXmlVh8tIYtAYtKrtVrN9ID+2dujwOjY5FebeqmFkJEIRl+vI4WB2Lw1JZ0RUeIAPT1OUxMGoGxc0SCuvKvCONjsXU5XGwGhZ7+f2hCjeNjsX0/RNQsyrsbu8hs6iMfGr1GkzfPw5GrcLO1h6yQ1BSrUGL6fvHUS4fol3tKjqiA2QQm75/AoyKQWGjhO0hXEe9SUc+BxWDfKqk6KsFEO+0qcvjYBgG+WRBMQMRIIvKyUuj6PV62FjawsG2vDrzuHcMDICttbyieg8gA97kpVEADLLL20P5Yma7CRMXRwAO2FzeUvT8A4i/18SFEXAcQV+HIbUWlxlnH5tFYi6KR554EL6Y2ByU4zhUKhUhg9BmsyEYDJ6oIHxvqLq7umdD1e7uLlZXV0WvPfXUU/j3f/93fO9738Njjz12r37VPa2nn34aLMviN37jN4TXMpkMNBoNTCaTkLlnt9vh8/lgs9mkyr1SGS8/S5R7q9eSwusaHYuRsyRSgW4HUXPD8o7YkJNujVFkgPRaEJ4M8H4pxzepwWw+4NiNurS1i1L6+IKj/JV6tSHcbAlvKkB4R303NIqgHZVrgoWC3WcjHKUBpSHxfIqK0DaKEO0NBBfTDLvqwZFwY3b4bQiM+rCfOxDd/PRmPRJzEREyR60CdrfE3CeihIuisnf8WdJA3p3snujmpzNpEZkOol5pYov/LCnyNMiTokHMh6WKQG53Bx3wJbwSp3eK4h0UjwOFXSEn/HEP8anqQxYoD66f70W5ZoUNMf/K4jQRhKR4gNwa+Xw8ESe8UY+gpDvuNQv8Ovq5E6TMjezqNg6LxwgAPaf2cgfCNh6NrBnkdVFX+r0+ztmxI7rYzNXmIc7au1u7AknZF3fDHXIJPDpa9DwpZvdQ4j93W8ACb8SDYmpHpBB1+O3wxpwoZHZwkCOv+0e8cAedkuw9kqXn5+03yHFpPtygK7szYIfNb0F1tyZ8n8ExP5x+OyHz9yHA7rATgYRPFE0THPfD6bNLUBNPxAVf3IN8qiQ8+IgXlJWYV/Zx1oTePlQpPBmAzW2VGF1S9EfcG4TNY0H6ljhXkKrW+hEo6l6eviXm8gxyqgAgMhWCxWWSoDHUG6tfYRmZDkFvJih0q3a8wKFquP5A7OhMGGaHEal5sQcW/dz743wocjOI8oTG/XD47IJyDiDbp0abQaY3QHzd+iJnBIRzIF+RcsD6zUgTvKP6oOqSWoFsLh1Hdwm9A9uWkakQrG6zyNB45HQMOqNWIqyITodgdVmQWToWkyTORKHT67B2PSVCwmMzYfTUXRxsVwTiPA2g7neSZxgG0/eP45EnHsD7Pno/bG4xpYVmEOZyORwcHIgyCAefc71eDxqN5ifaOnyX1rt7qBqsL3zhC/jTP/1TPPvss/jgBz/4dv2an7q+/vWvY3t7G5/73OcAEIh0bW0NlUpFGKTklHv1Sh1X/vVNLF1Zw+vffVP04BosvVmHyUtjvNQ5fWLv1OUxweBuWK/BosfkpTGoVGSroKzgTCz0Xh6DimGwdj2lqAAT9aoYrL6RRGVXGW2j74FRM1g7qdeqx+TFMajUDFaupVDdG/IerPRvU2HlWvLE3qlL42BUDFaurivmcIl6GWD1WhKVIb10NcswDFauJoeijkKvisHK63fRe5msfJdfXx+KUNJVMhhg5YRek9WIiUujb733tXVFT63+XkYFLF85odfG9wJYem1tKKKqt2iROBsDq1Zj5VoSzaoyQmm2mzB+aQTNegPrbyrnRQKAxWHC5KUxcByHxSurQ9+D2WHC1N32Os2YvDgK3GXv1MXRuzquxWXCxH1jAMfhzqsrQ9Fii8uEyfvGwPU43LkyvNfqNmPiwih6PQ6Lb6H3zqvLQ1Foq9uC8QvEoPPOqysn9JoxfmHkrnptHgvGziXAcTjxPdg9VoydT6DX6+HOKyuKvC7aO3o+Tt7DSb1eG58d2cPiqyf3jp2Lo9s9udfhsxFLlV4Pi6+uDu/12zF6JoZut4s7r6wMRe4dfjs5bqeLO68O73UFHLj44XOYfXASD3zkAvQmsTUCVRDmcjnUajWJgrDX60Gr1UKtViv+jv9g9R9nqPr93/99/OVf/iW+853viLhK78b69re/jZdeegk6nQ46nQ6/9Eu/BL1eD61Wi0QiIepttzq4/oObeOGZK7j2vXlh9ULNJ6nyib6W4N1/07cywjYV5UG0m+277qXxJsAx4VylYpC6uSmQzWnvUeUIW0v5u+iN8sn1d3Ncmd7TxC377ntVvNP2T9pLPgdK3FTqVbMqhGcCYDgVNm5tDu0l3KW7O25/b3KBkNspV0ul4nv5VafccU/s5T2AfuJetVrEAaM+WUeVGrJLub73K+WLCZ5arcHj/pS9fXwvKghgVAxCU36SR3grK6yoWa0ao2eOvZA47lj6Pqje0+o1iJ0Ko3ZUJ+f6Cb0jZ2JChAzX44gY5HQU7XYLudXSQO+xIzvtHTtHTD/Xb5x83LfSO3o2DjU70Ms7gYt7gdGzibvsZWS9qvp5UqLec3Go+ZxBqngc2qtWETuXwd5ORwgxp59vt9vB5mJOSEtQ6lU+bpQoLGkvAz7XT9zbH2ZOOWC0l/rPDesFQzy77qb3rRy3v3f9elrgRuqM/Z/vT9abOB1Fq9NCbrl08nHPxqFi1aLj6k06XP7weTzyxIM4/0tzigrCXC6HTqcjRORYLJb3hqoT6p4PVU8++ST+5m/+Bv/6r/+KRx999F4f/p7VwcEBnn32WXz5y19GuVzGxz/+cXziE59AIBDA7u4uDg4OMDo6KvRv3Mniz37jrySS/sGaeWgCepMOWyu5oV4tot7VvMSYc7CmHyS9+WQBuXVlrgAAjN4Xh81hQS5ZHMpBAIDpB8ahN+uRv4veqQfGYbTokU+WhqrFAGD6/nHoLXoU0sM5EwAwef8oOlwbjf0WtoYo1gBg6vIYDFYDShs7AnFT8biXx2C0GlDK7AzleADA5KVRmGxGlLK7koDowRq/L4GeuofWYXuoGg8AJi6OwmQ3YudujntxBBa7CTtbexJzTrn3YHaYsbc9nEMDAPEzETi8duxu7yNzQu/Y+QQsLhP2c4cSqb60Nw6L04z9wuFQtSMABKd9cHjtqO3VkDqhd/RcDDaPFQfFCpJD+EykNw6DTY+97T1sr5xwXZyNwe6146B0iPXrJxz3bBx2nw2HxTLWrivzrwBg5EwMDr8Nh8XKyb2no3AEHCiXylgdwusCyJaS1WPGbn4f2TvDz9/EXATOoAOVnSpW3kgO7Y2fisAVcqK8WxHRFeQqdioCd8iJyl4VK1fXhx93NgyVSQUNp8HyCb2xmTDcYSeqBzUsv742tDc6HYIn4sLRQQ1LJ/RGpkPwRl04Oqhj6bXVob3RqSBsARsqexWk54dfF5HJIHxxD44Oa1i8Mvy44YkAfAkvauU6Fl9dGd47GYAv7kWtUsfiK8N7QxMBBEY8qB02cOeE4wbH/AiOelGvNnH75eWhvfFTEfz+//tZhCeCsj9vNptCEsi5c+feG6pOqHs6VH32s5/F3//93+O73/2uImn9Z135fB6f+cxnsLm5iY9+9KOYnp7Gt7/9bXz5y18Weg4PD5HP5zE5OSn6t512B6//2w18/+vP4+aPFwWVU2DMC6fPge31gsAfoLYE3XZXRF71j3jhCjhE/BU1S2wJup2usEoHCIncFRTnwlGflF6PQ/LGcSAr4a84sbWeF6TpKrUKI2djAG+iSInElBfTz82hiAcYRmRJQLk5/Zwf2sswjCjehPoz9Tuyq1SMgID19wq8oz6OkkrFIE79lvrkzHIeUYyKgX/MA4NRj43bWwIBnHKq+ntp4jyrY8nqkieWE16XH7tbx/yrfjf29b5eu9+G4KhPUDWKeg1aJG+kBYSG8NB8It6SkI1nJBwNioDZPBbia9SXKUj9rHQmHVJ9sTRWtwXhiYBIhXnsfaVDaiEjwP+Uu1fK7qC0ccy/is2GYbASJ2+6/+/HxgAAIABJREFUhWZ2Uq5XWTQAx2Z5n6m+IGrKCzsslUVmqtGZMExWA1J9jvV6sw7hqQBqhw3RcSPTIZjtRqRvH+cS6i06jMzFJF5k0ZkQzA4z0n3KLJPNiPipCMp7VZHHWXgyCJ1Fi+zStrCVaLQaiH/bgEdTaNwPjVmDndSesFVrsOgxcjom6Y1MBmHzWEWu6sSaI4ajgyPRUEt5Tv1B0NRTatA5PDQRgMNrE3FoqC9XvSzOKwyN+2H32UQ8Hp1Ri5EzcUnkFOUo9fODBA+sahPpW8dqToHP1Mc70uo1GD0bR2NA+Sm42K8cc59IJA/JzUstHOfvyfGvWC2L2KkQatU6cqtF4ekjx+titSzGzsXRbraR7Mv18ye88ISd2O7ji6k1aoydi6PT6iK1cOwFRpWF/Tw0NasiTvKdHpLzaaFX8PZKFQUunEpNeqliUuiNEgPiwkbp+N7F93IcMWbu9d0//XEvCpmS6N41dj4h3JeP75+EY9evCKUxN2AgMqF1Bu2wB6yo7dX77kc82qViRBY0VOVJMyYBck8894tz+OVPPobLHz4PNXvyoNTr9aDT6X7qpJF3Ub17hyqO4/CZz3wG3/jGN/C9730P999//9D+YrGI3/md38G1a9cAAHNzc3j66acRDodP/F3tdhtf/OIX8cwzz4BlWVitVvzJn/yJ7BD39NNP42//9m/BsixYlsUXvvAFfOhDH8Ly8jLm5uYAAMvLy/i93/s9/MM//IPw76rVKjKZDGZmZhTfRz5VxAvPXMGb31/AytUTVoZzETj8NpR3qieukKOzIbiCDlR2j4YqlADim+ONulDdPzrxPYQnA/BG3Tg6rGH59eGryOC4D764F/VKHUtXhq8M/aM+fkXUwOIrw1dwvrgHwXE/mrUW7pywevJGXQhPBtGst3Dn5RUMO6/dESciUyQf7/aLy0N7nUEH4rNhtFsd3HphaXhvwI746Sg6zQ5uvbAosiAYLLvXhpGzZDvzpF7CHYmj2+lh4ceLQ9V4VrcZY+dH0Ov2sPD8naG9ZgdRE3E9DgvPL4qsGAbLZDNi6v5x9LpdLPx4cagq0WDVY+aBCXA9DvPP3xnaqzGwGL0Qg1arw52XlocqI/UmHWbfN4lOp4NbLy6jO6RXZ9Ri7v0zAMdh4YU7Q1WfWoMGMw9NotlsYPVqGp2GspJTo2Nx5tFZgGFw+6UlSYhwf7FaNc48NguGUeH2y0tDOUqslsWZx2agUjG488oKjg6VOVWshj+uSoWl11aHcgLVrBpnHpuBWq3G0tU1RXdvgDzozzw2C5ZVYflacqhXlkqtwplHZ6HWqrH2ZkoxqxAgD+TTj82C1aiRvLEhiQUa7J17ZAasjkVqISMJDe8vhmEw98g0tDoN0nc2sTNEDccwDOYenoLWoEVmcWuoyo5hGMy+bxJ6ow7Z5W3kh6j3AJBekw5bawXkT0DvZx6chNGix/Z6XjFjktb0/eMw2YzIp4snIudTl8ZgdphQyOxIzJEHa/LiKMxOE3ayu9gY4nkHADMPTOD846fx2McekqgCT6r3hqq7q3syVH3uc5/DV77yFXzpS1/ChQsXRD+bmZmB1XqcWdRqtXDx4kVMTEzgG9/4BhiGwSc/+Um88soruH79uiiDT64+/elP47nnnsPLL78Mj8eDr33ta/jsZz+LV199FWfPnhX6nnrqKfzZn/0ZXnvtNYyOjuIHP/gBPvShD+E73/mOiDhfKBTwsY99DP/8z/8svNZoNLCysoLTp0+f+LdT9OoH/+PHWHj+jvCQpu7iVKHHcZyASPV4J2b6Vcm5lh+jTBzWbxybxdGst1b92GtIQIPUZIXCdUkv3edvN9tI8R5GNIdMNYAGUUf2TrsreCNRJEaj15D9eP5hSrk9vW4XqZub6La7AhKjM+iQnD9Gbag/EzixKzx1Fk/2oTZqlnBzGBXxfaLH8MSdMNlN2F7OCw9TJe5TZCoIs8MkCimmjsmsRo3UzWPOWngyAKvLjNStY8Sk3yur3/8qNO4naEVfnITgwWXUkkxBnnwaHPPB7rUhc2dLRFin3l79+YOBES8cfY7wtGiuYb9zuY9HLqlHFa3odAgmuwkbt4/fG0UjM0tZkXiAuqdv3MkKijFPxAVvzE1Uen2KPvo393ucucMkiDmXLIhidFxRB5x+BwrrRUE5N5j7R4s6w/d7slncJkQnQ4IPGS1f3ANP2CVShjl8NoTGAyhlxR5P3qgbvpgbW33oiN1rhW/Eg1J2B3vZ47/NFXTA6jejnK8KiAf1GtorHIiQNaIq9AkZcADxWItOh3FQOhQ9IB1+O0LjfpGnlNlBPLTKOxXRdrHgVZXZFXLnTHYjYrMRHPV5I/W/t35HcprAcFSuiaKdLC4zYtNhkdM59X2qVcSoFs3j2y8c+3DpTQRZq9caoigdgvrFcFg69kwSvKcabRFyThHC8u7x36w1aAXuaT9yrjfpEJjworJfxU6afBeUh0YNRuligqJztcOa8PlQnh/XA9bnj+9TFHGrHzWEv5nyMxlAxDmjiFuzfozOsRq1wB3tD45Wa9QYP09d8jPH93beiyy5kDnm27IqjJ0fEXiQwr2d9zjrD6+WQ8ZoWoJOr0Xy5obonhaZDkCn1wufD0Xk9XzGKb0XqFQMzv3SaXzgk4/h0ofO3RUqJVe9Xg96vf5tD25+B+vdOVRxHAe73Y5yWd5deHl5GRMTE8L/f/WrX8WnPvUprK+vY2SEOMfm83mEQiE89dRT+N3f/V3F37W8vIzp6Wl87Wtfwyc/+Unh9dnZWcTjcfzbv/0bAMKXCoVCePLJJ/HFL35R6Pvwhz+MdDqN27dvC681Gg08/PDDeO6554TXOp0OFhYWcP78+bf0WeRTRfzoG69g9VoSt15cUnT5BYiXVHg8gHa7g+XX1xXdzQHAFXIgMh1Ct9090ZvJ5rXAN+aBXqfH8mvrosiPwbJ6LBg9S0J+l19bG6pIsThNGOMVP8uvD/ezMtoMmLo8JvQOUz5RJdzhwQGKa3tDV+l6sx7T948DDIe1N9NDV+k6ow4zDxLPmrXr6aGrdK1Bg5kHJ8GogPTCpiQAtb80eg1mHppApVzG/mZZZCsg6dWxmHlgAipWhcziFna3lFfpao0asw9OQK1RI7uSE9k2SHpZNaYfGAerUyOfLEriRPpLpWYwcj4Os82E4sbOUH6bSsVg8vI4dCYtdjZ3h6+mGSA864fZbsbRbn3oapphGIxfGIHRpsdBoXzXXK3y7snI7ujZOGweC0FrT+AHxeciMNj0KO9VsLWYH3r3i86E4Ao70ag0sHRlbSiiGZkKwhNxo1lrYvHVlaEoZWjcD1/ci1ajjTuvLA9FHv0jXrgjTjTqDaTe3ByKPHqjboSnAui1Odx6aVEUszNY7rATsZkwut0ebr+0NNSTzRmwIz4XBXocbr20pOhyDpBtb1fMBpvNhlsvLSu6pwMkMHnswgg4jsOdl5eH3nusLjPG7xsBwzG4/cryUDTRbDcRnyiGwdKV1eEKWJsRsbkQVGoG6fksqgfKvQaLHtOXiWfXyrX1ofcevUmH6QcmeMpDWjGXEzj27FKzZHE4GE7fX9QLTK1VIzW/MfTeo9VrMPfIDCYvjuIXf/39JC/1p6z3hqq7q3fcUf0DH/gAFhcXsbEhNsmbm5uDyWTClStXFP/tU089hT/4gz9AMpkUKfM++9nP4q//+q+xv78Ps9mMf/qnf8LHPvYxPPfccyJ/rD//8z/H5z//eSwuLgpZfxzH4ezZs3jppZeEPo7jcO3aNVy8ePEn+hs77Q6ufpegV/M/uiO6IcfniBtu5s4Wjg5rgnKK4zhJGGtkJgSL3SRkslFEilExgiKGFkUgKKpAnKQjYLWEG9S/ZUNz4bZW8oLPT3wuAp1RJ+IGAceoQm69IFzEJOuOeL30D3gCVytVFFb/4UniqJ1cEMvgKeLRz79yRewwO4woJHdFcmo5nlRg1AeHz4aN21nRjZN4IPlFHCVf3AN3yInM0pboZkh5RweFY98oitpkl7dFzvYkqzCEyu6xZxjlhQ16NlGUsnpwnGvo8NsRGPWimCphp28LxGDRIzYbQb16nJdI3OMDEp8r6l7d73Iu+E71cb2AY9+zWuUI2aU8uB4n65MF0HBkggqkFkjGn9FqQGw2QgaQvuGKUZMVMstqsHE7i267y/uFRXB0UBM7n/MIIVEFEsd56llWr9bFwdkM8e/R6FgkFwjySNVMzXpLYqpJY5ToSp9kp8XQbXewPnAdxU9FhPO1cdQEq2URmQmiUa8jv7oj6o3OhGHhkc5auc5zGInDeT8KAvCeUjx6eXRwfC2zrBprN8TRKZS7RH2t6LWs1WkkPkgUnaO5cwwDxOeiMPDIbv8A4om64It5RDyn+GwERrtRxEMDCLcmMOLD9npeuD6j0yFYnGaJLxZF3PrROep1NXgdUSf5YmZHuD6FnMClbVGcj4VH+Hb7ELfAiBeuoBNba3lRTJDBqoc34UJltyqgjHI8KeCY41buc9SnHKV+7hPAI3FnY6juHTv1u4IOBEd9KA443Gv1Goyei6NebggcN6efuNbTfEdalAfW5HcR6LUcmQxKEE0BweKVsRzHkYzJqZCE0yeHYBltBgTHfejUuyLunUrF4Pzjp/GBT/4CLn7oHNTqe7dV995QdXf1jg9VwWAQExMTeP7550Wvf+QjH8EPf/hDHB0pIxUf//jH8c1vfhOtVkukQPiLv/gLPPnkk3jttddw6dIl/OEf/iH++I//GKlUCvF4XOh79tln8dGPfhTf/OY38Wu/9msAjoeqF198UXSyXL169SceqvqrkC7hB3//Y2zc3kJqYWPoSsThtyM6EwLX40gie1aZU2DzWPlMOA65ZFES8ttfFqcZCX4rsbgxPLvNZDdi9FwcAIedzb2hPAGj1YDRcwkwDIe93KHIzHSw9CYdxi4kwDAMDksVSURJf2kNGozzae/VvSMRsXawNDqW9GpUJEh3IH6lvyhsz+pY1KsNpPiQYLkiuWVxaI06tGpNrN/YUOQSqVQMRs7GYbDo0G6QrQ2l1T8ddk02IzqdLtavp4cij7HZMKxuC3rdHtbeTA9FHiPTQTh8NvS63ND8NoCQpF1BOxnmb2SGrugdQRucIRu0Wh02F7eHZtP54h744m4ADDZub4oG08HyRFwIjvnQ7XaRvp1FdYjHmStI0FoGDDaXtkQP1MGy+2yIz4bBMAy2VvND+TY2twWhqQAazQb2sgeCwahcmR0mjJ6Ng2GAYmZ3qALWZCPXEQMGe/n9oSpRg1mPsfNETr9fOBx6beiMWoyfT0DNsijvVYa6stOBQKvX4OiwTgQoCtcRGQgS0Bo0aFSbWHszqXwdsWqMnotBZ9Sh3WiTvE8FFI0OmiabAe1mByvXkooIPt2+MjtM6HW6WLmWVETGKN3A7rKi2+th5dr6UI+m2EwYdp8N4PjkiCFoF01iYACsvpEaem0Ex/zwRFxgVAzW3kwNRdr9CS/8CS/Ah5kPQ8+9UTeCYz4wvK3KMI6bO+TEyNkYRk7H8Ph/fxTe6E+PSg0Wx3HgOE42ju0/cN3VUPWutzrd2dmR8K4AwGq1olaroV6vK35xOzs7MBqNEkkn5Wzt7u4KfQAkgciDfQDe9qnbF/fg1//vX0W308XV7xLl4CB6JTinlyqYf+62oK6ze20i7gFAEZMgqvs1zP/otpBtZvdYCSLVF1ditBoQmwmjXm3gJv8743MRTF4ekyBSJOstima9hVs/JkTryHQI0/ePIdmnKgOO/Yc67S7uvLyMbqeL0EQA0w+MI31rU/Qwpx5eHIClK2votDpwhu2IzAWwk94X9fb7Ha1cS6LdaMMbc2PmwXFsLm+LeET93Kf1Gxto1ppwhZyYemAc23zeXn/F5yLQm/TYuE3en8Nvw/QD4ygkiyLkCKDqNBMyi4R3ZPNYMHVpDKXsrmR4PeYdbaOyV4XZYcL4fSPYH3CVB/q5RHkk5zMwWg0YO5fA4U5ZYiVBXM5dyCWL2LidFbgr/W73tKgzfHFjBwuLi4Qfd1rszk+LInk7W3tYeH5R1vtKOH9segTG/ajt17F+NSMoWrkEJ0FKaf7a4U4FC88vClwQX9wjGUgFZOuwhvkf3eGVnG6ExgIijh1AOTQxNI6amH+ObNvHToXhibqRWhCjNoQXE0e71SGk/h6H6HQIMw9NSlAbFatCaMpPtsmvrJNzeNwPz0UXskvbqFeOj9vvgXX75WV0Wh0ERn049fAUQZP6BkeGAUbOxKHRsVi6sopWow1fzIO5h6dEXC9a8VMRGCwGrL6RROOoCXfYibmHp0Xu7bRoltz6/AbqlQacfjtOPTwlyQ8Ejl3cKYpm81gx89AE4U4NbAFTpIg6yVucZkw/MCHiQ9EaRMZoLEvtUKxWBCDkEObWC1h7MwWDmYQFN2tNSVCw3WNFeCqIQrqE5PwGdEat8F0O3gONNgNcMTvKuxWkb24KuYYcHwY9eA9MnI5iP3+I+R/dPs5WVKlE3E+A8FVHz8RR3u27D9N8xwE0UUCwKg3M/+i2MBBGpkJI38pI7oHj5xNoNdqY/xF/Ds+GEZ4MIjOAEAqoVLcrOofD4wGRShQg5+WFtwmVkqv/RAjVW6p3PVKl1Wrxy7/8y/iXf/kX0euf+MQn8I//+I+o1WqKQ9Xjjz+OV199FZWKeMKnPK3vfve7+OAHP4hPfepT+OpXv4qdnR24XC6h7wc/+AEef/xxfOUrX8Fv//ZvC6+fP38eP/zhD0X2+/cKqZKrQrqE//3/vIC1N1Oo7B9JgnD7y+6zITwRQKfTRYcnnCshJlaXGaGpICrlMox6o4jsPVgmuxHxU2F0211wHJC+uSkKJe4vg0WP+FwEvXYPjFolIloPFo26oYnmmTtZxZUejfEBGBzVqjjcqooiP/qLWkmoWDXUrArbq3lFrgJ9oGv1LNRqFtvJgqLqiJLx9SYdVKyKbEcO4TPFZsMw2ow4OqqiVekMRf3o9hAY4CB/KLIgGKzAmA/OgAPgeijvHg3lKHljbngibnC9HmqVuiCEkCu73wZ31AGNWkO2JRYyigiExW2CI2iDSqWCCmps3MoqIhBWtwWRqSA67Q56XU4SKN1fhHwd5o/FiGwiBosSqrvdHtT8tqESqkDtBziOnGuDESz9RY09wXBgNSyxR1BA3FiNGvG5CDpcB71eD3ubh4q9dCGg0WnBasl5uatwrlHLEINJBxWrRiFdGoowx09FoDWx6HEcjnbrQ33kItMh2NxWMAywnz8Y6uEWHPPzKCVQ2a2KCPGD5U944Ym4wPV6OCrXJeHa/eUKOWD1mWEwGNCstQRitlw5A2R7sdPuCWHMSvdAuoXW6fSAXk+ytdpfZocJ8dkwOp0uVIwKa9dTimiX0WqAd8QNDauGRqdF8saGIrdLb9IhMRcFB3IvSt9URncpyZ5hGOFcU7qvsVqWBMNrWLAaNTYWt0TRS/2lZolJtNlugmvEhv/yqccxPjcq23uvi37ner3+hM7/UHVXU+K7XuvodrslQxEAVCoVGI3GofCi2+1GrVZDtyu+0dPj0QGKBiEP/p7BPloWi0VCtGcYBr2eMon0pylf3INPfOGj+L++9Tv41Sf/C04/SqTX4t9PXHP9CQ/Wrqex8toaOA68e7b0a47OhBCaCCJzK4vsrTzazQ5GzsSg1kiVHqGJAGIzYWwubmPpNQKFJ85EoTVIgzL9I16MnI4hnyxi+eo6KrsVJE5HYbBILy5PxIWx8wnsZHex8vo6itkSnFEbDFZpryNgx8TFURwUylh+bQ3lQhWRaeLxM1hWtwWTl0eJHcRra8itFxAaD8AZtEt6zXYTJi+PolVvYfHVNWSWthBIeGWJmgaLHlOXR8H1OCxdWUP65iY8ERcCY15Jr9agweT/z96bBkmS3ud9v8ysyrrv++7qc6Z77p1dYBckAIIECJiEKJBW0CIjSMBkMCTSYYf0waTCIoP8IJERFmyHFGHSVEiCBSJCQYph0ZRpiLiIXWC5i13s3Gffd1X1Ud11n1n+kJXVVV1ZNbODncECngefUJtTnfXmm5n/93mf//N8YBrJIPHgjUUyD/fwhFwkzgwb5klGiZmrk5htZu6/ucTi2ys4fHYmzieGjtW2GR0eOw+/s8SD76xgsZuZvJTi9MJQmxPeiJuld1Z58J1lDEYD01cmRs4JX8zN5p1dHry5BB2YfmESgzw8J/wpVW9zuHnM2nVVKzVzNY3JKg8dG54MEp+LsPVghwdvLlMr1Zi9mta9zoGEl4mFhDp/3lymcFBk+koau8c2dKwn7GLyQoq9zQMevLnEwU6eqcsTuIOuoWOdfjXS5Ch3zP03lsiu75G+kMQf8w4da3NZmXlhktJRmftvLLH1cJf4rP78MdtNzL44RbPeYu3aFkdbBWIzYfxJz9CxstnI7ItTKG2F+288ZOXGOuF0kOT8sDWMZJSYfmESURS594Y6J/wxL+kLyaFjBVFg5oU0skVm+Z0N1m9u4fKrsSyCOPwemLyYwu6y8vCtJe69sYjVZWX26hSSYXhOpBbiuINOFr+7yt3XH2I0q/PaaBre5IjPRfBFPSxfX+Pu6w8RBIEzH5zBbDMNHRuZDBJI+sgu73H32w9pNVqceXkWm8s6dGwg4SU6HWbzwa4a71KqcfaDMzh8w53f7u49llnNcf+NhxwfFDnzgWk84eFrZ3VZ8CZd7Kxmuf/GEvs7h8y9OI0/7hs61uayqp5kByUW314ju7rH9JU04fSwzYDZZmLyYorScYX7byyy/XCH9PkksZnI0LEaW1qr1Ln3xiJrdzZJno2RPBsbOlbrdm63FO69scjS9TViM2HdOSGKAlc+fp6//0/+Lr/3f/+P/MSv/ci7tkT4XvGcqXo8fF+E6vfv32dtbW3g83cjVD+tldKE6oeHhzgcjp5Q/Rvf+MaAq7ueUB3g05/+NP/8n//zge+8du0aCwsLyPLwS+VpILe+z1f//atc+9otTFbTWCZGFTKHKeXL2D32oZb1fji6xo6lowr2rlv3qJR1rUW7clzB6rYNhSj3Q2Ok6uUaFoeFYr400jHcIBuYuqRG88gWmVqpzvodfXZFMkikL6oPFUkSaTXbPfH0aWiUu1GWUBRAYCxjklqIY3GYadSbGI2GAXuF04jPRXB47dTKNUxWE2u3t0ayc+q2nodKoYzVYR2wKzgNTQhfOipjd1nZfLA7UluhidtLR2UcbvuAuexpaFvIpXwJu8fO3ilrgn5YnGYCE16qlQYuj53SQWUk46ZtO1aLNaxOy5A5Zz9UcXySZr2FbDZSLdZGur1rW4lKp4MoQum4THZpT5fZ6BeAK11tx8r1dV0WrZ95bDZaGAzSWI1b8mwMu9dGrVTHZJVZvbkxkq2IzoSxuS0c54uYrTK5lcORc0ITVJfyJexu+1Dwcj80c0bt2vWLzk9DY65LhyXsXvuAkPw0tKDtSqGCzW1jf+tEHH4aVqeFifMJasUaZodFNXcdcZ21BoJGvYHJYhoyNe2H0WRg8kIKBTCIIvVTJqH90JoCJIOIoih02h2Wb6yPvvcvJDFZZJr11lB0zWmkFuLYPTZqxRqyVVa1jCMYLM3stXxcweK0sHJ9beSc0AxRS/kSNrdtKNy6H5pwvnRYxu6x9RoR9OCNuIlOhalV6rz4yUt84rMfJZA4KQ6vXbvG3NxcL5fvaaPT6SAIAibTcEH9A4wfDqbqZ3/2Z1lfXx8oqrLZLPfu3ePnfu7nBo7NZrMDbNFnPvMZBEEYErl/4xvf4BOf+ERPQ/XJT34Sq9Wqe9z8/PxAQQWq1uo0U2UwGIYYsaeJYMrPL/z2z/IHX/2n/PQ//Hg3C3D4mjv9dmIzYY72VL1DraxqK/SYCpvTSnwuSumoonomHZfxhFy6q1KTTSZxNkatXGejS0G7Ak7M9uGbyCBLpM7FaTVbbNzfYW/7AMkk6h4rSiIT59SV+9bDXfa3DrG5rTj9+n5kibNRDEYDWw92ya7tYbaa8IaGmQqA2FwUs83E1mKGzGoWo8mAPzbMKABEpoLY3FZ2l7PsLmURJXHgIdWPYNKHy+8ku77P9mKGToeu+HoYnrALX9TD/tYBWw8ytJptwhOBIZYJ1M6nQNJPPnPE5r0d6tUGoZRfl1GwOi1EJgMUD8ts3t2hUqwSTPkwmofZRJNVJjodolqosXV/l+JBCX/cq8smigaRQMqHJBg4WD2kkq/iDbuxu4eZI0EUiM1GaDXb6rXbPsQdcOAOOoeOBVVfJggC2w92ya3vY/fY8OkwR6BuQRmMEruLGTIre8hWmeCE/so7nA5itprYWc6wvbiLbDYSnQrpHhtI+FSDxZUcW/d3EERxZPyGM2DH6Xewt3HA1oMdOkqH2GxE99o5/XY8ITelwwqH63lkg0ww7UOQhg+2Oi34Yl6O9wps3N2mWq4Rn40g61w72SITTKpF9vodtcs3Oh3SvXaSUSKcClArde/RXIFQKoDdq3/twukAzUaLzfs7HGwf4o95VbG2DsITQTrtTtfOYx9PyEUgoX/tQqkAgiiw/TDD7nIWh8dOeHL09TCYDOwuZtha3MViNxOfG2Z4QO3yNVlkdldUc0yj2UhKh/UDcAVd2BxWcuv7bN7fRhRFJs4ndZk8i9OEKENufY/1e9u0WwoT55O6LL7VacEZcJDPHbNxb5tGtcHE+SSyZXhxLVtkPCEXxYMSG3e3qRSqpOZVf7nTkIwS3oibSqHK+t0tCgdFtTNah50Tu/mNn/kfPsXnX/09fvG3f27oWdVutwfkKs8Cz5mqx8MzZ6oajQZXr17l7NmzfOlLX0IURX7lV36Fb33rWwPmn9/+9rf58Ic/zK/92q/xh3/4h71//w/+wT/gG9/4Bt/+9rfx+/3823/7b/mN3/gNXfPPz3/+87z55ptMTk7y1a9+lU996lND5p8Av/7rv86nP/3pAVf2e/fuEY/Hh8RTkYcjAAAgAElEQVTuzxIae/Wt//gmrpBT3ZIYob9yBRzEZtVYEoNFwm63j2RtNFHxQSaPzWnFaDKqmiqdzjKT1cTkxaRq6WAQsToGDSn7oZnwNapNmo0mTr+Drfs7PTPIfvSbmxbzJSwuE8e7JV2PqJ4JqcnIYSZPKBVQ7QZGaJ+S8zFsTgu5zUNCKT/53DG7Ixi36HQIV9BFdi1HaCJI6bA0slMrkPQRTPjJrO1hdhuRJdNIjYkn7CY6HSK3sY8n6EJRFFZv6nsNOX124mfUqBqby4ZkGAxH7odmdVDMlzAYJdXo79am7kpatsiEpv3USjUEBNwBF9sPMrpaEINsIH0hidJqUy5U8EY8A+ac/dA0a5Ikks8dE0z62V3J6erWevE8NjN7mweEJvwc7ORHZl1qL5rceo5wOsTxXnFkV2lkKoQv4iGzliOY9FMpVEd6YPW313sjHuqVLluqw4z1zEW3D3D6HAiCMBCe2w+H1050JsRB5hDRKGG1W9i5n9FlQXoGnIUqSlvB7rWzemNdVzOmGWWWi2WqpRqhRHAgJqcfqvh6AoCjvWNCST+bI9guzcrBaDKyv3XQM2cdxWpOLCSwuqxk13NE0qEBQ9HTiEwFsbjMHGdLhFIBioclNu/rawO1aJrs2h6+qHfAdPM0VCYvxN7mHi6/SxWkj2CwNP1VPneE2WrGKBtGarDsbhvelAuaAoIgYHVaWbmxpttFqOn3GtUG1XIVT8jN6s0N3eegZu+hKAqFgyKBmK/XBHAa/aahx3tFPvr3X+ETv/zRkQs+DW+88QYvvvjiM8vhUxQFg8GA0Ti8MPgBxg9H958sy3zlK1/hH/2jf8T8/DyCIHDu3Dm+/vWvD7ip2+12XC4XkcjgquZf/at/xe/93u/xoQ99CKPRiMPh4K//+q8HCiqA3/qt38JsNvPTP/3TGAwGJEniz/7sz4YKKhjNVLVao03xngU09urn/8nP8PaXb/CVL3wTRgmSQ+rDpnJcxW60IgCdEZowd1AVT9eKNWSTjGyR6XRGiUQdiKJIpVDFaDYimUTa7REiUa8dg2zgaK+A0lIQENBd9qPqH2STkcJ+kXqlicVtHsmzmh0mzDYTlUKVeqXRczDWg9FsxGI3U681qRarqjOyDhMEqqbB6rLSarSoleoorbbu6hXUn2F322i321SLVWSHAckkqbelziWxe2x0lA7VYg2724ZsNiKM+H22LktULdYwmmTsbiOSURpZVImiQLVQRbbIWB2WbsL8cFFlNEvqllmzgygIGGWjynTp7CyZLDJG2cBxodr1CBOQzfpb30azAaPJQK1Up1aq0VE6mK362wKSUUQ2G2nW1euhtDu6Oi1Q2RWTVabdbFMt1mk3FUxWGUHQn/ZmqwmlrVApVGnWW5gsMpJBHOj+6v0+q4lOR70eTU8Tg8mAZJRo6YyxbJHV+6NUx2SWsXvtyBaZVlN/IWGUjdASkAwSRqMBg9mgW1QZTQZEUaReqdNqtnH5ndhcVt2iymCUECWRRq2p+rsJ4PDYdIsqURKRDCK1Sp1qsYaidHB4bLpFlSCq59lutKgWa7RaCnaPbWRRJRlF2q02lUKVVrOFzWVFlET9LTmDSKfToVaq0aw3sTrNGGSDbkEjSqJ6f5Rq1Kt1LDYTJps84E93cs4AHWrlBiZLDYfXjtVp0R0LQRAQBKhXGijtDr6oB/uIsWi1myhthWaljdJWcHodPeZSD4IAjXqTSqGGNyzgDrp0iypF6SAI0Gq0qBxX6UQ7uENu3aKq0+ngDrv51K98jBd+8uJjd/ApivLDFBfzvsb7nql6P+L3f//3CQQC/PzP/3zvs5WVFZxOZ0/0/n5BbkNlr77+J9/CIBuGzDb7oTEgexv7tFoK0alQ13RvmCXQGJDjvQKFwyLJMzEKByVdlkA2G5m8lKJarJHb2GdiIU61XNftQutF87QVNu9vM3EugdLWZ200ewiDrMbJpObjiJI0EEPTj8TZGHaXheWb60Qnw5jtJ5YJp9FvFuoOOXH5T2wQTsMf9/biTmSLTCDuG6lnOjHq3OuNcb9JaT9sLiupc3GOst0xPhvjOFfQ7Qo0WTUtU7U7xgm1009Hu2KQDSQXYtQqVbKr+8TPRBEFkfXbW0MvPy2mSDJIrN7eIHk2PmDOeRqaDm2lN8YmVm/qs5rRmTDuoJP12ydjPEpfpnYw+thezGCUDdj8Fo62C7o6Qq8W/bK+T6vRInoqBqYfDq+d5LwaDn28X2BiPsFh5kjXU0pr268UqqrQ/Xyyu1U+PMZaR1ez0WLj3rYat1Jvqno/ZXjOT5yP02q32Lq/S2Q6iGwysXF7a4jt0lhYi93M8o01IpMhLHYLy9fXdB3JE2eiOH1O1u9s4gm5cPodPaPS09DYoK2Hu5i683jj/rauhk+L4sn1jfFuX2hxP1x+1ewznzvmeL9Aaj4xYObZD40VrxxXyW7skT6f6uovhxksNVYrRbPRZOPeNtOXVCNNPQ1WzxpBEFi5taF69p0KKNbQr79avbVBZDKEyWJi+fqq7sIlNR/H7rWpz4qgS42yGtGF2gukXlTH2B/3sTFCP6expbl11XD245/9CJ/45Y/oCukfhddff51XXnnlXf+7J8X/n5mq56XrE+D9ylTpIZj08wv/9Gf5P+78z/y3v//3MVnlkeLlZrNFp93B5rbhDjhpNlrsjRC1NutN2u02VqcZT8hFo9Egu6Evam012z13bE/YjSCJ7G8e6lL37VabRq2B0WTEG/ZgNBk52MnrboN1Oh3V8dpowBv2IFtkjvYKIyN86uUaoiThDXmwOMyU8uWRhpfVUg0ElXmzu21Ui7WRwuFqsYbS6eDwOXD67DRqjZFtzrVyjXa7jd1jx+V30G62R8bc1Cp1mrUWVpcFT1A1Ihx1bKNap1FtYLabcQddiJIw8thWo0XpuIzdaScQ82N32Cjsl3TZBEXpUC5UMZgM+CIeTBaZ0lFppLi/lC8jGSS8YQ9mu7nLFuqLdrXxdAed2Fw2apU6lRFt58VD9fycPgd2j039DUf6tgXFfIlWs43DZ+8ZoY66dqWjMo1qE7vbqo4xUDjUFwPXKw2qxRoWhzrnVbNZ/e9t1JqU8iXMVhO+qAeD0UDpqKIrrG+32hQPyzicDgJxPzaHrfcbTqPT6ZDPHCNKIr6IB4vdQr1cHxnxks8cIwiqls/qstCsN0eKqPPZI5S2gjvgxO6x0W61Rwrrj3LHNGvqlr3D70Dpskh6ON4vUi1VsXefKwJQLelHUZWPK5TyZawuS28ej7pH65UGR3sFLDYzvqgHyShRK9d1nyutZpvD3SOMZiO+qAejyUCz1hw55/e3DpCk7jy2mmg1miNF7btrWZqNJp6wG6vDTLul0Bxxf+Q29mk123hCLuxum8p8NfSfVwc7eaxOC//wf/tl/s2D/5Vf+J9+9okKqu8XnmuqHg/PmSrgS1/6EktLS/zjf/yPe5/t7OygKArxuL5Q8v2EfvbqeK9AcDqA3a52opwuSBxeO4mz0V53mLZKPm3aCaqOYOJCkuJBke2HGeKzYZwBp65Oql9PtXprQzWvTPrJrAyzaP0B0MvX1nH6HXhjTkoHFXLrw+yDxpYsX19HNhlJzscp5fW1T5pGauP2Fs1mU405qTVY13Fa72ekiocl9ZwEgRUd1sYVcBCfjfaiY0LTftw+F+u3t4ZealoX5fGeykLF5iK4/A61WeDUlsVpo04t6ud09A1oPjUJms0mG3d2sLrNRKbCFHLFIWZM0zKJRpGNO1uYzKaeOadeV1dsNoLTb2f99hatZqunH9HTuQRTfvxxL9sPdynly6QvpgBYvbExVCy7Qy6i0yH2NvbZ2zxU/cMssq5XleZndZQtsLOU6bIyDl3/qV7ob6nG6q2Nk+DlhztDbJfBKDF5aYJOp8PytTVcASfBCR/Z9b0hB3WNyTOaZFZurCGbZfWcRnTDaTEvq7fU364xX3rarnA6iCNgY3sxQ7VQY+JcHEkysKKjD9KYo+2lXfK7x0xdmlBNKHXYlV64c04NOk6cieHw2nTZFYvd3Ovm7B83PQbLaDIwdXGCdrvN8vV1XAGnGl1zKiIG1O28+NkIkkFk+77K8KYW4hzuHulqsDSt1trtk3EbxRL2R94U86WhgOJ+9LRzazn2Ng+ZupRSo7qurQ4VUe6gE2fYRqvaYWcxc2Kuen1YV6WyzGpn9NrtTcLpAP6Yj7Xbm0OLAa07stmNoPFFPN8TK6WH7wdTJcvyM9NwPSP8cMTUvB/xl3/5l/zN3/wNv/u7v9v7LJvNUqvVSKVS378Te5dotxWuf/UWf/q//AVL31nXFeGC2snmj/vU1XA3MqHd1NdUecIuotNhauU6stmoW3xpsLttJOdj1KsNzFYTmw+2BxyA+6FS/UnarTayRWZ7aYejjD6joPm5CJKIwWjoZvWNNtLUCsUOqm5sXICvWii6aDVa3WwtfQEsdO0Qkn7qtQa1epXs0j7Nmv4K1h10EpuJUKuqupz121uUC/qsjbr1GqdRa2K2mdhezIxsqZdkifjZCAbJgNlqGrnVCKp+JrkQQxDBarOO3M7VkFqIY3NZURRFNW8cE4ESmQ7iDXto1pt0FFi5saarZQLwRz2EJoPUK3UMJiOrp3Ig++Hw2UmciaosndXM2t3RJp1mu+of1Kw1MVvNA5l2p6HZegAYTUZyG3u6BTx0XdEvqfEuoiRSPCyPjY7RCitF6dCoNVi5vjZK+qi6l8e81Cp1Ws0mG3d3UEaMmzfsxpNw0a4rWO0WVm9tjL73PDYmFhLUKnVMVhObI7b5oLvteTFFs9HGbDXpurdrkAwiU5dUfyyjyUA+ezzSagEgfjaC0+1AEAUqhSqrt0bPocRcFGfAgdJSaDXbYw1Agyk/oZSferWJKApq7ugIBtsddJE4E6FWbmA0G1kfYwprsslMX07TqDYwWU1sPdjlKKd/7xlkianLaTptBdkiD2QdnoYoiVz95EV+6tc+zuWfOPee6p8UReHNN9/k5Zdffs++83H+5vOi6vHwvKgCXn31Vf7kT/6Ez3/+873PDg4OODo6Ymrq2TjWvpe4c+cOdoOT1//j23ztT77F4U6+Fx58vDfMVFhd6kv9YOeI3NoeZrsaelsr1YZ0UprWp3yshgUbZIn0BbWLb+XmxoDbuxZR02q1We0G4k6cT3b9gAZ1OYIA8bNRrF09SavRHgqJ7kd8NoLDZ+8VeSrD41W70E7lK6pde75e1I1W8Bzs5of8mVwBJ7HZCHsbe+xtHva0ZuXjMhun4mHUuJUkhX2VkerF9zRarJ7q0tQCjhuVBqu3NtSw4QtJpK5fVj+jqHXXIXS6+YQdQlN+nF4HW/d3h16sqYU4FqeF1RtquPBJHM5w915kKoQn7OqxZp6Im8hkUNfXyhv1EE4HyKzmONw56hXNGgPXD3vXD02L59GK5lplWGvXC1XuasRESSAyF8JiUX9Df3FmkA1MXUyhKB2Wrq3SUTqkLyQx28xDnVqCIJC+mMRkllVNUq2pxrUEnEOBwQChST/+qI+1W+pL1x/3EU4H2FnKDM2hUCpAIOnreUg5/So7pOf95A65iM9E2NtS42PMdpVVKx9VhtzLbW4r8bkI+b1jciv7iAaRqUsTdNodVm6sDTAxskVjQJq9wm3qUqrLYA16cfU8nySx1/02jsGaOJfA6rKo/61YG8tgRafDeMJuth6oET3uoIv4XKTHqvXDH/cSTgd7ocZWp4X0+RRHe8PFmdPvIHkmxlHuiK2HGYwmNY+wVqkPFfgWu1l9RpVrrN7c6EUJCYLA0rXB4kxj0TsKLF9fVS0VFhJYnBYW31mmVT95ZqlMZQrZYux5lml6zNXbG1QLg+OmFdRayHQg4eMTn/0oH//lj+ga0b4XaDabXLt2jZdeeumpfL8eFEXBZDL9sInjnxdVTwvXr1/nD/7gD/jX//pf9z47Pj4mm80yOzv7fTyzJ8P9+/eJRqM4nU7abYUbX7/Dl//N1/nuf7k5kr3S8gbNdjNKW2Hx7ZWRhokAyQU1FgNg+dqarlBWQ3hSdTQXgPW722PDQT3hrku5IJBdzZFdGx3jYXNZSV9IIgiqzuN00dMP2aIWNQajgVq5PpQn1g/NbNJsM9FutVl6R1/QqiG5EMPlU603lq+vP3osuoGnG/fGj4Xdp/qMGY1Gcut7jx6Li0k1sDpXGEi5Pw2j2cj05Qkkg0StXGP5+mhWU5REpi6p4bmtZpvla+PHIrUQx+lzAJ3HHAsf7Xab1dubVPKjj/VG3F1XaoHMala32UKD3W3rsVL5XOER4d0yMy+kkSSJarHK0ph5oTmdm61mmo3mI+fFxLkETp+DDp1H3iORqRDBpJ9Gvc7G/R3Kh6NDfNWxUGUJuyvZkWa+oIVAq1FQjwprls1GZq5OIUkClWJt7D2ijsUkZotMs9lm6Z3xz4v0+SQOn52OooZ9P2osQkk/HWD97tbYe+RdjYXb1guLz2eOx94jmlu+2vlcYfnG+HvkAz99hf/qV3+cix9beOqFR7Va5d69e1y5cuWp/p1+PC+qHh/PiypgbW2N3/iN3+A//If/0PusVCqxsbHB/Pz89/HMngyLi4v4/X7cbjfFYpFMJkM+n0eoS9z72jLf+rPvcLCtbpPEZsK4gsM6Ka1r53A333uB+ePeXvdKP6uh6YJqpRMHbYfPTmIuOsRqaMUbCL2HtskmE50N06g22HmQHWA1VD2VhZUbazSqzd5WIIIw1LGmMTQbd7Z7rIQWpHw6r9ATdhGdCrO7muVwR2UlotMh3CEXW6dczrWxyOeO2F1SWQlnwE50OszBVn5gLDRGqj/M2O62kVyIUdgrDmSyaYyUKAqq705LwWCSiJ+NQhs27mwNMBWq/5aVlVvq9pkgCr0A6tNjEUoH8Ee9rN3dpJxXX9DJhZjq+H6qQ1INWQ6RXd/vuXOH0wG8US/bD3cG2C6NuSscnIRAu8NqSPNp7zCNuWvUmj2mQdvqLB6W2HowOBahaT+iJJJ5mKPdUnoMQ7PRGsosVPUvdlZvqeHC2padwWgYCsrtdcHd3+Go23AQmQlhcZjYXcwNjUV8NjIQUhxM+Qkm/Ww9GNRraTqb0mGp94J2BdTOuL2NA7LrJy94zbuo3Wz1XtAWh1mNSun796AlBSToCB027m7TbihIRpHpy5O0m+0hBktjS/q1Z5MXU8jmYQZLc3rf6Qt3js9FcPmdQ12E2ljsb+fJrKi6KI3NO+36bnVaCE8HqJcbbD9Q54XDZyc1Hx8KfNYCkJW20tvy0zoxS0eDjLCmcZPNMis3VSZWjXZKo7QVVq4PjoWmw1u/t9XbNp44n8BiM7N0akEQTPkxu01U9qs9jVh0Oown5BrS8bmDTuKzUfK5E4YtkPDx4f/mg5z52CRtQxO/3080GsXhcDxVUXexWGR1dZULFy48tb9xGs+LqsfH86IKODw85Gd+5mf4q7/6q95ntVqNhw8fPtOJ+17h4cOHtFotyuUyFouFcDiM1+vt3RDttsK1r9zkzf/nGt/40rdH6hhAdWWf+4C6BXr7W/dHxrqA+rBc+NAcokFk8Z1ViiP0VKBu9519ZbbroJwlszJ6hQlq5qHT76RwUGTl+vrYY8OTQSJTIRqVBne+/WDssc6Ag+lLEyhKh1uv3hsZVg2q/mL+5VlEUeT2t++P1AWBWiSc+9EzGIwSa3e2RgY6a0iej+LyOznaLYw0H9WQOBvDH/NSLlR4+J3lscd6Ii6CaR+ybOL2q/dHrrYBbE4Lcx+cgU6HW6/dH9l1Caq+5NyPnkUUBfVa63jwaBAEmP/QHLLZyPZiZmyIMEBiIYrBIlE7rrG7OH5eRKZDRCdD1Mr1R15rV8DJzJU07Xabm9+8O1JHCOoW5bkfUZMX7v7tw7HMiiiJXPzoPJJBYuXWxiOv9dmXZ7E6TGTXD8Zq3ADC0wG8ETfFfJnN2+OPDSR8pOZjNOotbr16b+y1trutnPngDEq7072vR89lg2zgYjef9P5bSxQP9DVuAAhw4cNnMZplth5sj2VXAWavTuHw2jjMHI3V8AFEZyJE0gGqpTr3/vbBSN0aqEXQ1OUJ2i2F26/dH9ndCifXutOBe2+Mv9aSQeLjv/wRPvDpF3jh4+d7z1RFUdjf32d7e5tqtUo4HCYajT6VAOKjoyO2t7dZWFh4z797FBRFwWw2/7B1AD4vqp4WWq0WL774Iq+++urAZzdv3nymFOv3glarRS6X6wnsPR4P09PTj4wy2N865KtffJWvffG1HnvVzwat3drore60rrbDzNGAFkljkzbunjitayxDvdtBpkHLydtZ3O2t+kVRIH42giAKbN3b7Wlq3GEX0akQhzv5ge0eVU/lYPXWes8s0OI0M7GQoHxcHdji0LL2Nu/v9Ngng9zNnTvll6V1Ru5v58n1razT55PIVnnAdd5oNjJxPk6t3GCzb2UdnVa9mvo9sLTtRATUlXVbve0cARvhdJD8zvFAfttpjRScsGWnu/dC6QC+qJeNvpW5xhA16y1Wb230Xq6alizX1YtBN6T5Ygqj0cBKn7ZL1YslKOXLA0WepnNbv7PVW8kbZIOqJetq57RHkNZdqXp8HXf/nsrCmCwyyzfWe3/P4bWRnB/uFvOnvFicJg7W81S6ehZ1K3eix4xqzzxfzEtkMjjQnaZqbVShdb8rus1tJTwVoF5sDLCHyfk4dreVlRvrva5Ozd28Xm2wcuOkoNd0R5sPdnqWG72cQqPE0rUTJ+9RDFZ/96B272garNOsTTDlxx1ysrOcpdQtbDQhudpkccLauAJOEl2X/v78zvT5JGabieUb671C6nRHoIbwZAh/1DPQ4dZzbxdg+drqyb0acuFLuDncPibf1aMJgsDEuQQWh3lAZG91WkhfSHKUG+yo7Hk+PThhFCWjxMyVNI16k9UbJ35V3oib6HR4iAXTGLr+sbe5rUwsJLpRQCfPhsh0CNlmILdy0Du3nht6H4sGqpXNJz73UT7+Sx/BF9WPwtLQbDbJZDLs7u4iCALRaJRQKPSexcrs7+9zcHDA3Nzce/J9j4PnRdXj43lRheoVc/nyZV577bWBz95++21efPHF7+OZjYeiKBweHpLJZKhWqwQCAcLhMPv7+4iiSDSqn3mmh3Zb4Z2/vsm1r97m9f/rLQoH+p1DGuZfmcFkNbO7nB0Z0qohtRDHF3VztF9i5dra2GP9MS/JhTj1aoN7336g6wOkweIwM//yLIqicPtbD8YyK5JB4sJHzyKIAg/fWtF1Yx74fR+axWw1sf0wM/AS1MPE+SSekJOjvWJPkD8KzqCd6FwYURG49/qSrgePBqvTwtmXZ2i3FW6/On61LRklLnxkHlESuP/GIuXj0attQRCY/9AsJouJrQc75DbGswnpiyncQQdH2WNWb47upAT1xR+bDVOvNLj3+uLY32dzWznzgWkUReHW39wb6RsEauGWuhxDEGDrdkbXebv/95370TPIFiMbd7dHuoVrmL4ygcvvJJ85YuURbEl4MkhsOkK9XOP2I5gxh9fO7EtTdNoKN75xV9ebTYNsNnL+I/MIAtz51oORHlGgLkIWfmSOdqetFu974+fyzAtpnD4HBzuHrN0eramCLvM3FaJarHP39UewvH4Hs1cnUdoK179+ZyzjbbLKnPvRswgC3H7t/khvLVAL0/MfPotRNjwW8zd7dRKnz05u82CsrhIgNhsmnA5RKVS597cPxx7rCbl45TMv8eInL3Glj5V6N6hUKuzu7pLNZrHZbESjUXw+3/e0jZbNZikWi0xPTz/xd7wbdLoh5s+LqsfD86KKk6Lq1VdfHZg0b7311vuuqOp0OgM6Ka/XSzgcxm639859Z2eHdrtNIpF4or+hx16BuhWYXIhROqr0HJFV9irezdc7Ka702CCDbGDyYpdBOfXySsxHkYwimaU9auV6b5UrW4y9bkANkekg3pCbzT7tk9bVtn5r0LpAs4Totx7QPttdOdFTQT/bVek9nDV27mivwE6/NswgMnE+gSiKPX+mHmPTbLN6c31geyI8E8DhtrN5d6f3+1Ln4pisMivXB3P+9Lr3IpNBPGG32rXX18XmDjqJzoQ52M73VuyqRipMZm2Pgz4/IbPdRPp8cuD3aR2MqsbphJGSDGo2Y6dz4j8lGSWmLqVUXc/NjYHtJY2tXLu1cfL7FuKYbSZWTnlShSYCqsbpwW6P4Yl0GcyNe1sDnZ4uv4P4mSj7W4e93+fw23FHHRRzZY4yJxonk83E5PnkgPO8lrd32gNJlATiZ6OYzSaWr6+r188oMXV5AqXdGWrvT83HsfUxWP0szGlfo2Cyq8Hq88zScgo3ux1zGhw+O6mzcfb7HMl72YNbgyyMbJGZ6iYZaDYhFoeZxNkYhYMCmeWTY4VuKK8oiSxfW+v9vslLE13n8dWBLsvEmajK/nazCLX5aXUMWzn44z4i6QCbfRqzyGQQs9vM4WZ+4PdpVg8HO4fsdtltrTtyf+dEqwX0uv2q5VqP3dau32kW7URDJ7F8TWUg+13Wl66vDWzlx+ciqvv8jZPOx8TZKJJJJLdyMLDl925YqcdFp9OhUCiwvb3N4eEhPp+PWCz2RPqr7e1tms0mExMT78m5PQpaTfE0tjK/z3heVD1NXLp06X1dVFWrVbLZLHt7e1itVsLhMB6PR3fFk8vlqFQq3/NNp2mvvvXn3yG7tsfy9fWxbEnibBR30EWnrbAyImxUQyDhIzIdgg5sPdgZamHvh91jU1uiOx0Otg8HtjNOw2g2MvNCupdXuHZrOEZEg2ZCarGbaTXaLN9YG8t2xWYjeCNuoMPStbWh9up+OPw2Amkvsmxib+1goDg9DavTwtTlCQTgMHM0IOAe+n0mA1OXJzDIBvVFc3NjJEMgCIJarJpFLGYLy++sUR+jnYlMhfAnvAjA6s3Nka7loL4YU/MxOh3YXc6OZYMsDrP6+wSB48d81DUAACAASURBVL3i2A40rbCRzTK1Sp2VbsEzCqFpPyaHjGyQ2bq7O5YBCaeDhNIBNdrkxtpIDzVQt8/S59RFSXZ9r1cQ6MFsMzF9JY0oiRQOigPb3aehxTaZbSZa9RaL310Zy9CFJv34Yz5EUWLpnZWRPlUAgaSfQNJDrV4nt7JP6WB0B6HTZ2fivNoturd5MNb3TbaoXk6SUaR8XBnYhjsNrfnC6rKiNFo8/O74rsD4XBRf1A0ILF1b1Y000uCPe4nPRhFE2Ly3M2RA2g+729ZrAjncPWJzjHZNNhuZvpwmNBnkI3/v5SdmpR4Xmv5qZ2eHSqXyrvVXGxsb6r39hIvmd4vnRdXzouqJ8IEPfID//J//88DE+X4XVZpOKpPJIAgC4XCYQCDwaJ3U/j6FQoHJycn37Fz2tw/52hdf42tffG1A/wOqliU04e95HWnsx/FeYehhbXN12a5DVaujeVnV6w3Wb28NzEg9tqvfXf10AdTr9OuyJZo7eX8nkIbwZBBfxMPWQ5Ut0XIS9zcPyJ0KVFXd1CMcdLVdJotMeDZIu9YeKoCMZgPxsxGUhtq5JQioD3dJGjLI1Lr3JElUvarqLdXZ3Gdn7c7mUNF2Ws/kjXqIpIO67uv+qIdQOsjOSpb87tFIxg1UBjJ1Lk5hX+1O1Bi3dqvNyo1Bxk27JiobtwEdtavQbDWzemvYJV29JiZWb26oHlrpIL6Yh41720Pi9nA6gC/mZfPeDoWDoqoBm42wt3lI7tQW7GkGy2SVCU75aFSaZJcHtzNNVpn0xRTVgspgSQaJxHyEDh227u4OXZPpyxMIotjTYOnpnjRo3WYrN9UuRM3RW8/ryh/zEp4M9v6b3WMjNR/neL8wNI9sLisT5xJkN3Psb+QHsgdPm4tKRomZy2nVv+rGRm/cETts3tsZ8GECdT6arCZWul5empZJz5Oq5xx+Z5NSvow37CY6M6xlArB6LKTOxjnYypPb2O+xTHoO81q3n+bdNY5lEgSYvpIe8KBKzcexeWys6V2TuSgOn73HKmoeY3pZhp6Ii5/6tY+/p6zUu0Gz2SSbzbKzs4MgCEQiEcLh8Nhn/MrKChaLhUgk8kzO8XlR9byoeiL8xE/8BH/0R39EKBTqffb2229z5cqVZ9pGelonFQwGCYVC72pC5/N59vf3mZmZec/PT2OvvvJ/vkr5qKJraNiP+FwEp9dOs9kChm0Q+uEM2EnMxagUq5itJtbvbI1ku7QioVqsYXVZVNPPMW7akxeStBUF2WykuF8aECefhla4KUqHto6RZz+8MTdWr5lOq4PVbmXjzs7IbDytcKsWqlicFl1zTg2aTUWz3sBit4wMwoaTtnODUUKUJKqnBNynEe3aaDRrTXX78ub6SDbBE3YTnVY1KBa7eWRAMpxs1dTKNSwOK9m13FABrsFglLrxNh2MspHioX7skIZkd/tNabZptxVWbw5H4vTOOerC7reiNDrYXTbdKCENDq/a9l8pVbE6LENWAf2QzUamLk3QbLYxWYzkM6Od/TUjUtliBIUhofVpqIaaLuqVOkbZ2DMv1f193e3BcrGKzWFhfUSAL6gi9MR8lHKhgmiE0kGV/M4It/6uYagoiUgGgfKxfoC3huTZGA6fnUatqRY876yOTSMITQR680grQvVgd9tInYtTK9WwOCy6BaoGzZ6hoygYzUaOc4WR97a2ZWt1WXB6HXzw5y6TuBR533gRVqtVdnZ2Hqm/evjwIR6Ph0Ag8EzOq9PpIAgCJpPpmfy9Z4jHKqqk/qiVx8C7OviHGX/xF3/BBz/4QbzeExfcbDZLIBB46tb8mk5qfX2d5eVlBEEgHo8zMTGB2+1+110jzWaTQqGA3+9/z89VFAWi02F+9L/+ABc/tkCz0SKzmtMtflRmxcHGfVV74Yu4MZoMuu33nrALT8zF0W6B3eUcrm4I7FHueKj07+/0W7+zidlqwht2U8yXhiwR1E5G1Rdrtev47o97adb0g2iTZ2PYXFY27qqrdn/Mi0GWhhzdQRWdB5I+CtkyB1t5vGEPdrdVN+bC5rKSPBtTTUrvbWN1WvCE3BQOi0PxLpJRYrIb4aNtJfliXurV+lAmGUByIY7Jau4yWGUCcR+iQdQV4weTPnxRLzuLGfa2DvFGXNhcNt1Cwu6xEZ+NkM8cs/VgF5vbiifsorBfHHp5Gk0GJs4laFSbrN3aRDJIBOI+auWarg1HaiGB0WRg7fYWtbLK8AiCqBsnEk4HVP+w+7sc7OTxR9UAbb2Qa6ffQXwmSnGvTGZlD9lmxOo2Uz6qDlkMyBYjqYV4d5t4E9lkJJDwUS3WhgoaQVAbElRPMDUiJZjy0+kounM/Oh3G4VU1dPncMYGEH4td/5zdQVfP/213OYc76MQddHGUOx46Z5NVJjkfp5gvs357E7PNRCDpp3xcGSqMBVEgtZBAEEQ27+5gMMj44x4ajSYNnXkUmwljc1pZu7NJ8aCs+jhZTbpxN96wG3/CR2YlR2Z1D2/YjWw3Us5XhwpHs93US3PYuLuN1WUhmPBTOioPLbBESSS1kKDdVHPzBFEkNBGg1WjpivdjMxHMNpPqK3VUJjQRRDYbhrJJQXXF/7Ff+BF+6Xf/Hj/5uR/D4jXR6XTweJ49Q6UHo9GI1+slHo9jsVjIZrM8fPiQcrmMLMuYTCYEQSCXy+FwOLBYLM/s3ARBeM+6F99H+L3HOeg5U/WE+NznPsdnP/vZAQuFW7duMT09/dQmr6aTyuVy2Gy2sTqpd4Nyucza2toz8zFRFIV3vnKLr3zhm6xcXyecDrC/kyc7glnRtrh2l7KEp0PUiqOZFc2kM7OaxR1yIxmkoVgXDWa7mfT5BIXDEigdXAGnbsQNdFvfL6WgA4e7eSJTobE5epHpIEargf3NPKGJALVSjd1FfZ2Nti3XO+e+7b3T6Jlp7hcQBHD6nSPZIE2Po7QVjrJHhCdDQ0as/UiciWJxmtleypCciw3ZTfTDF/MSTgfYXc7ijXgQBIZihzRo9g6F/QIIIk6/ajxZ0ek4VMXRKZR2h3z2iHA6NJbBSs3HVeZxKUt0OqQKzEc4XweSahbj7op6zqIg9ETnp2G2y/gnvNQKdWSTEXfAPTJLT2M/2q02R7ljwumg7taRhonzCawOCzuLWaKzYYoHxZGsW898cymDL+btisb1M+8cXjvepItGqYXBYBgZMQMMbA8e7xUIp4MDBp/96IVtGwQya3sEkl7qpSaZZf35rJmn7ixl8Md8dDoKy9fWdLWKWtTMYfYIg0HC7rEN2FMMnHPXqqJRb3bPOaSK+3UKfNUQVY242l3KEZsNc5Q7HopL0qA1BuysZJm7OsUnf/VjXP7xwQy+ra0t2u32+zrfVU9/dXx8zNTUFE6n85mdgyRJyLL8TP7eM8RjMVU/dKXks4LT6aRQOJVubzDQao0WWT4Jms0me3t7AzqpK1euvKerAEmSaLdHi1/fa4iiyNWfvMjVn7zIwU6er33xNb76xdd0jxUEMFlkFKWDoijQgVazPXJbxGwz06FDu+vt1FGUkQadJosRQRRRmm1ESaQDI0XABlnCYJCoVxs9fcpI408BBElAlk0YRAmTyUR1jAhfNhsHz7nTGbktYpAlBFFAaSvdc+6MjsMwiIiiSLvZQlGATmes5YTBaKDTgY7S6f7GcceKvfNU2m1E42h2VjSICKJAu91BFBWE7v/0IIgCoijSajS7v6uDII5+lgmioJ6H0qHT/f8jjxVEBKDT7oDSQTCIIx+TBqMRl9tFs3xIo9GiWCwyqulKnYvq/NSumzRmPAQEOh1QOgp0OhiMo+/ljtIB7Zq0FQyyAVESdeeHdiydDkq7jSAKGEwG0Nnpa7cV9bw7qN/VUZs2Rv4+RdXIGCQDJpOZZnX0c67dfQZ2FHV+GGQJySih6CwSevdQB9qtNqIoIluMukVVu9mi3f3daqh0B4vNhN5Gn6J0aDXbmBBQOgqK0kG2yggCuiagSlvhysfP85u/9N/hCbv1f1e7/b4PCBZFkWAwSDAY7Omv8vk8d+/eJR6PP1J/9V7hh8xK4V3hOVP1hPjt3/5tzpw5w9/5O3+n95kW9/K90sOKonBwcEAmk6FWqz2RTurdoNlscvv2bS5fvvxUvv9xoCgK1756m6984Zt897/cJJDw4ot62V7K6K5EI9MhDBaJ/fVDDEYDiTNRjnLDompQO7PisxGyqzmOD4qkL6pt/nqdcCaLKlKuFFQbgdS5OBa7ZSi2Bror+PNxEDqs397G5bcTSAXY3zgkr7PiD6R8qhC+6/2jZ86pwel3EJ+Lsr+5z8HuEZMXUnQ6g+ajGjQ9Vb1cZ/3OFokzUWxuq67GTDPTlC0yK9fXcPochLsGmHrMSigdwBfxsHF/m3arrZoinjL41ODw2knOxzjYyZNb32fyUgpREFi5sT5UrBpNBiYvTdCsNVm9uU5sNtoT3OsxWFpTwcqNNawuG7Hp0axbMOUnkPCx/XCXarnO5IUkleOqrpbP7DARngpQK9TJru6pbfcGieUbw52rBqNEaCaA0lbILO4RngzgDXl0w5dBvb42l5WVm+uYLLKumaeGfsF6KV9m6nKaWmnQFkCDZk5Z6DJcqoGlzPL14WxBTdCtdcsFkz58MR+b97Z0t7z6RfaiQSQ1n+jq84ZZKV/Miz/uYXc1R+mwTOpcHBRYu7U5tOixOi1MnE9S7hqUTpxL0FQa5JYPhrZO+7Vay9fX8IRdhJIBNu9vc6yztRifi+IOOFm7u0mn3ekZDvebwmroNwHd3zrkAz91pcdKPaoQWF1dxWw2PzPB93uFt99+m5mZGfb398lms1itVmKx2PfsfzUKiqJgMBgwGvWL9B9gPBeqP038i3/xL7Db7fziL/5i77OVlRWcTucTaZM0X5JMJsPR0ZGun9TTgqIovPPOO1y9evWp/p3HxWHmSGWv/v2rA9lw/TDIEsEpHzarHYMsDXhh6SE5H8PuttGoNfq8ePTZIH/UQzCtimStDsuAG/hpyFYj8TMROi31xbG3sT/UDahB694zGCUQhIG8Pz1Ep8O4Q07q5TpG03AuWz809/NKoYLFaRnKIxw4524R1mq0MFll8tmjAc+w00hfUAXUSluh3VJUl/ARTwLNU6parGGymVi9uT7SeNPuUV3Rq8UqNqeVneXRAmPJKHXjgVSBcfGwPPZ6pxbiWF1WWvUWgiAM+Sz1w9/dyiwXqlgcZjbubFEaIa63Oi0k52MUj0qIskBpr0J+V1/ILYgC013vJ7EbRj0uWiU+F8EVcFKvNDDIhl63nR60nL3KcQWr0zrkZ9UP1a9qgma1gdlu5jBzNNYSYerSBEaTyma0Gq2x4cDhdAB/3EelUAFJtS4YxWLZvaoHVeW4gtVlZe3uxkgbB8koMX0lTbvVxmSWh/IOT2NiIYHVaaHdbtNRhn21Bs85yE9+7qN8/Jc+jDukz0rpYWlpCafTSTAYfOx/837Am2++yQsvvIDBYOi9Z3Z2djg4OMDn8xGNRnE6ne/Ze+Z5UfW8qHoi/PEf/zH5fJ5f//Vf7322sbGBLMuEw+HH/p5qtUomk2Fvb+891Um9G7xf3eAVReH6127z1/9OZa/arbZqOui16xY6kSk14Hj99iaVQhVPxE10MkRuc3+oONM66/Y29tnbPMRkk9VOtFJ9SK+lxbhUSzXVBFOA2FwIi83Kxt2tYVuAc6otgFYEhSeD2L1WMit7Q1YNgYSPQNLXK4LsXhvJszHy2WN2T/lr9WwOcsfsLGW7dgWqluc066au9pMoSke1OVA6JBfUgOXVW8OsW3wu0mMoaqU6vqiHUDpAZiU3VOhoHX6Z1RwH23m1i+9cglKfSagGk9XE5EW1TX79zlafyaTAyo3Bzk5RFJi4kOx1s7UaLaLTITwhN+t3t4aE9KcNQFV9TpS9PuPP3ti5LfgSbir5KgdbR6p/16UJGtWmGs3Tf737gpm1GB29uBYNoSk/RotBZV2qzZ52a/vh7kCgMpwEDGsdalanhfR51U7kdBea9t+0gkKURKYuT+jqqjR2p1Itk3m4R7ul9IKP9Trn4rMR3EFXz/rAHXQRn4uQWR3Wr2nmm5q5qObTVCnqWx+kFuKUCmV2HqjzN3Uujtlq7l3THgSYvJDqRRA1qo2ehmz9znCHYi/outtxqXX9He7kh3zBtC7No/0CW/d3MBglXvqpK3zqVz/GpY89mpXSw4MHD/D5fE+loedp4vXXX+fll18e+s3ajsj29jaVSoVQKEQ0Gv2eNcGKoiDL8vt+q/QJ8Lyoepr40z/9U27evMlv/uZv9j7b3lZfKLFYbOy/bTabvdy9d+Mn9TTx/fbYehQOd/O8/p/e5i//978eyV5B18/mchrJIFLYL45t8QaVhbF77LSaLR6+tTw2INkdcRKZDCHLRpZvrA8VSP2wuay97a/c5oHuVoQGySAydTmNySpTLdVYfmd1bPhrbC6CL+Kh0+mw+N2VsREsmukmgsD2/R32x0R4yBYjk5dS1Oo1lDpsPGLsJi+msHtstJptHr61PNboNZj0EZ2JQKfDys2NkSwaqMWE5jO0t7k/1rxVlERmXkhjssjUynUW31kdGwwcnw3ji/lQFFU8Pc5w1hVwMnE+gQBsPdwdKZYHLdsxRrPdolqokV16VJRPEqfHro7d28tjDS8DSR/x2SgdRWH11sZIRgpU5vTMSzOIosDe1qHu1rIGQRSYvTqF2SZTLdXHWhyA2jASiKtjt/TO6iPGzsHkhRSNRoOtxV2OM6PP2WgyMPfStHrPHpQeGZQ8eSGFw6vOu8Xvroxk80AtxP7uf/8pPvSZl/CEXGO/91G4e/cukUjkfdP997h4/fXXeeWVV8Ye02q1evmDnU6nlz/4JGzT86LqeVH1RPjyl7/MX/3VX/HP/tk/632mhRPrdYfo6aTC4fD7xsvj/V5UaeixV1/4Jm//vzd6L4HTRp4awpNBvGE367dP4mgCCS/BZECNneljYRxeG4mzMfa3DntdfSabTGwuQqPSYOv+yQtKjdBRt9C00Fw9c04NkZkgZruZnQeZns1BZDqIJ+Rm897OwKpcY4J2lrO9sFmn3058Lkp+92hgVW6ymkhfSFI5Pul6G8VgaXoqo8nIyo2TKJ/k2RhWl7rN2c9oaOO0cf/EeNMbcavdlac68uxuG6mFOPnsUa8IMtlMqp6pMOhfJBnU+JpOR3Wa14qgyYsp9dxuDhq1xuciOH0OtWOw+yIPpgIEEoPRNaC+zL0JNwdbeQo59Zw1Y8zT3V+yRWbyYpJa+WQbVmODOl2Gr3/sUue6MTo3TkxL47NhnH7nwLmBahJpD1g52ilQ3FeLb5ffQeJMlNzGwUB+otVlIX0uSeGgxOZ99RqqTFqaerU+oFHq6Y3EQdNLLQJn8Z1VWn3zLjYTxhNys3Z3s7cIUE1FhzvnXAEnibnoQByM2W5i6uJET7/VGzsdc1FBULcORYPUi7rRkJqPY7BIbN7boVFRx84ddRKfjA4EMIPqhB5OB8ms7rG/pS6g7B51fh1s5wf0XXqGoQajxAd++gU++Ss/9sSslB5u375NMpl8Zl107xUep6jqR7VaZXd3l0wmg9VqJRqN4vf7H3v35HlR9byoeiL87d/+LX/8x3/Mv/yX/7L32cHBAUdHR0xNTQGDOqnj4+MBndT7DT8oRVU/vvHlv6G4VOf1//QWD99aGXus0+dg5mqaVqPFzb+5Nza4FwHmPjiJ2Wph8a2VsStygJkXJnH4bGTX9scyAwC+mIdUNwD6zmvjA2iNJgPnP3IWBIFb37w3NhIHYP6VWcx2E1v3dx8ZehyZChGeDFA+rvDwO+PHTrYaOfcjZwCB61+7PZbNALjwY/O9LbxRxpgaUgtx/HEvR9ljlq+PD5d2+OzMvThFu9ni2tfujD1WEODSj59DMkjce2NxbJwJwMyVNA6/g72N/bGmoqAWlumLKRqVBrdevTf2WMkgMnk1SafTYf3GziOv4dlXZrA5rGw+2BnawjyN8GSQ2EyUaqHC3UeE/ZpsJs5/+CwoHa59/fZYRhbgwkfne80M4yKhQC3KA0kfhb0ii++sjj3W7rExfXWCaqnKgzdWxr5RBEHoXcMH31nUtTrpx/wrs3zoMy/x4b/38vfMSunhxo0bTE1NvS+f3+PwbosqDaf1V16vl1gs9kj9laIomEymZypheUZ4XlQ9Tdy5c4ff+Z3f4Qtf+ELvs+PjY7LZLIlEoqeTstvtPZ3U+7nN9K233uLq1avv63M8Da0QVBQ19f4r/+6bvP3lG70VsiBA+mJKTa+/eeJVFUoH8EU9KnvVp8vyRF0EEj5yq/s9LYzmsXSYOSLTxxBpn/d37w3omPqiQURJJLkQRVEUdh7mettk0Zkw7oCT1dsbAxEz0ekQ7qCLzfsnDJbT7yAxFyW3Mdjx5vDZSZyJks8c97YYNRatWW8ObKVIxv4YnxMGK3EmqvoD3dyg3sfyaZ+v3d7sMViuoNpJqempNJxExJx4d5msMpMXBwN9gRM9U009P82BeeJcApNNHooUSi3EsTotrN48YSEDCR+eqEvtlusTO2tM2u7KiU+UxW4mfSFJMT8obtc7P9VtPoUkS6ycyq5MX0j29D/a+WkxOpv3dwa2NP0JL6FUgO3Fk+5Vi9OMP+Whelxjf+Nk7DS2pXBQ7MXPaGweDIrs9YKBQd2acwedLF9fG9gODk0E1I7TPhd1l9+hMrLbgwHFNpeVifOJAed3o8nA1MUJWq02y9dPWEVBFJi5kqZzSt+VPBvD7rUPxcFoDvBrtzZ795zdayU2GyG3vkd+94Rt1EKj9zZPOiW1a9WoNlm5cXJvaazUp371Y1z8sYWn+vx65513OHv27DM10fxeoSgKb775Ji+//PL3/D0HBwfs7OxQLpfH6q+eF1XPi6onwvb2Np/73Of48z//c0DVSW1ubrK9vY3D4SAcDuP3+39gXGW/+93vcunSpR8oylaPXTvMHPH1L77G0vV1Hr61PJYpkYwSsYUwZouZymFlbDAxqC93V8BBo9Zk+droTjxQt/BSC3EURWHt1uZYDZHJIjP74iSCKHCwnR9pUKhh8mISm8dGo9pg6Z21sayDL+YlNheGDqxcWxvZ1QZq0O/s1SlEg0B2bX+sDkwQIH0phd1lo1Z+tB4nmPKrgdgKLL6zomuboMHqtDDzQhpBFNldzo5lbARRYPpKGovdTLVYHWkyqSGcDhKeDKK0FRbfXtE1xtRgd9vUYGdRYPvh7tgQaMkgMf3CBCariVK+PDZiBsCf8mLzWZANRtZv7QyJ3/vh9DmYvJRCEAU27myNNBUFkIwic1enMVqMFPaKupYM/UiejeGNuGm3Ojz4zuJYfZI76OyFKq/d2iA/5t6SzUZmXpjEaDJwmDkaamDQOw+r20ylUmX7boZ2c/Rc8kbczL00zdzVKX7ilz6MO/jes1J6eOutt7h48eIPlKlls9nk2rVrvPTSS+/Zd57WX2n5g5r+6nlR9byoeiKUy2V+/Md/nM9+9rPcvXuXz3zmM3g8HgqFwvfV7+lJcf3/Y++9g+S67yvfT+ccpnOaHDDIABMYJVKSRYmQbVretSSX1zTlXS213nobaJe0kkzbqrKtZK9ePe9qS7YsPz5Z1sp+8j7aXplUIMUcAAIYhBlg8kynmZ6e0Dn3++POveie7h4MgIkkThXL1sXt2797p/v2957v+Z5z9iwHDhzYUzeM9bIWK5UK5356iee+/UIdewWADAL7vWi1Ql5gMV/C1enA4bcxMxxqmDLz9Liwea1S9p4whRcQfLHWiKjXMlhyuYzuo51UqhWmhmbrRNRyhRCJI5PLpYxDT7cTm6+N6Ysh0svNQp2tAisST0nvtTTfaIlgtBroOOCXJgXlCjndRzqQyWVMnJ2uK4CkqTJgctVTytvrFrRoTTyYvH0uDG16QpejZBM5DBYdnYfa69gyaR2rIcCi1krUBEG9nqpuHdUqE+eErD5fnzDROXV+tqENK1hOWFYtENJ1PlnRNdNgoiZHnBSTsgSrzdfRt6qrGl/VVflX8w+b2S2IjKM4kSqGNzfLXzTZBBsJMdhZ8L5yUClXiY7G6tahUMrpOdZFpVRhcmiaSqUqBTJPXZhtmH4NDHiRaSA+vUwmkRU0UoM+FoLxhnWYHUY69gck36xaV/haRkpcR99tPZSKJSbOTlOtVlsyUsDVqcNz02RTOSl7UJwebFjHYID5mQXmZxZQa1V0HW4nk8oKGsbacG6Vgrt//nY+9Jtbz0o1wxtvvMEdd9yxpx48c7kcFy9e5Pbbb9+y44fD4Tr9lc1mQ6/X76muxwZxq6jaClSrVV577TWefvpp/u7v/o5HHnmE3/iN3+DOO++kWCxy/vz5uuiavYKtjtjZCrz99tscOXJkXTYwn89z+fwoz//1y4y/MYPeoGduMtZygkqpVtJ7rJNSsYRapyaxkFpXJxXY58NkM1DMF+uKo2Yw2vR07m8nnciiN2vXDUgW11Fc9ZK6Vqjz9axDbNVlEln0Zh3BkXBTU0WojWApodKqSda0qJrBv8+LxW6kkC8hl8sF48911+Fb9S1afx1KtYLuI51UyxXh73KNdbTv92FqM1DIlVAo5E3NPNdej+xKFp1FT7CFyeTa66HWqkksJNf9u7QP+jDajEIYtULOxNmplq79JrsBq99MMVvCajcTHp0nEW+9jt5jXZSK5dXPaZLg5XUCpleLoEKugEKhYPzMZMt1iB5Y6ZWMkGs5HGrteaYVPM/KZfF6pDawDgPFbJF0NsP82MK663B1OcikM/Tf08XP/fp7GDjUv2UmyNdCK2uC3YxUKsX4+DhHjx7d0vcR82jD4TBqtZrBwcE9dZ02iA2d0DuOn9tKfPnLX+b48eP8j//xP/joRz+K3+/nz/7sz6QWlFKp3Na4l83EdkfVbAbkcrkQXbMG5XKZaDTK2bNnuXjxIg6fjd/66r/mOmDjVQAAIABJREFU/3zlD/n4Zx9l/90DKJSNT5tCoGyASqXK9MUQC7OLWJ1mjDZD0/f3dDsxO4yEx6IEr0QF1qGruYeN3qzD0WFjZSHJ9KpGyd3lahpnIpNB5wE/1SrMDgvrsLjMmB2mpsd2dTqEdYzPEbwcQaGU4+lunkivM2nx9XpIxlMS++PtdaNUNxamMhm0Dwr2INOXQsRmFrA4zVhbiIBtvjaUOjnTIyFmLoWQK2T4+t1N99UYNHh73SQXU1IOoLfX3TIqpX3Qj0IpZ2ZEEHBbnRZs3ubGjQ6/DbPdRGQixuxICLlSTmCguQu2WqfC2+sWWnYXZkktpfD1e9DomzO2/n4vMjnMDIeJTsawuMw4/Lam+9q8VswOE3OTMcFnSi6TrudaqLQq/P1eFBUlc2MLLM2vYPYaULdYh7fXjUwuY3Y4RGR8DqvTjLPD3nRfq9uC2WFifirGzMUgcik4uXFfpVqJp9tFeiUjtK3jKdr3+dCZmhcy7i4XCqWc4EiEyNgcVpcZd1fzz57FaRLWMb3A1KWgpKNrFi2kVCs5fP8gv/57/5JvvPkV/o8/+RRtbivnzp3j9OnTRCKRHblf7bVCoVwub1ssjdlsZt++fXR1dW35++1mvKOYqq9//et885vfRKlUolQqeeqpp3j00Uc39NrnnnuOL3zhC2SzWYrFIo899hif+cxnpNZStVrlK1/5Ci+99BLhcJhiscjY2BhPPfUUn/rUp6S22V6cogPB2M7j8WCxbI8+YTMwNDTEwMAAWq1WmlSJRCIkEgkcDgcejwe9Xt/0tUtzK/z0Oy/z4//7Z8gU8rr23loIwu8OivkSc1MxOg+2k1xs/UQuBkBPXZgVCgW1kvGzzZkSk80oiIZnF6hWEUwjW0Tz1AYkh8eidB5qJ72cZna4+Tq8vW7aPFamL8zg6nCi0auZGJppqt8RLREWI8sU8gW83S4iLaJrhLaloPEJXg7TebCdXKp1yLWr044z4GBmJITNY0Vv1jFxboZ8ptFfS2NQE9jvJbuSJ5PM4e9zMzcVa+oRJYrKlWoF05eCdB1srxO/N6yjw4Grw87s5Qhmu1EyO20WkiyK21PLaZbnE7QP+loGaItWFRqdmqmLs3Ts91MuVZg8N91U3+UI2HB3uYiMR9EatULESot4HrVOhavXQTFbJBXP0HmwncXwUtPYGABXjx2728bUhVkC+3wAgs6sid7N7mvD2ysEVitVSuw+m2QG2rgOQShezBWJTM7RfaiDpbmVls7sHQcCmNoMTF6YwdvjRtHEZkFErbmoXCHn4ccf4ud+/T1YnM2tC9LpNKFQiFgshtVqxe/3Y7FYtrzgudEpup1EPB4nFosxODi4Le8nfu92ik3cYry7ApW/9KUv8bWvfY033niD3t5efvSjH/HII4/wzDPP8OEPf3jd17788st85CMf4fvf/z6PPvoos7OznDhxgkQiwR//8R8DggfVZz/7Wb785S/zO7/zO8hkMvr7+/mDP/gDzp07x5//+Z9vx2luGfYqUyU60s/Pz2M0GvF6vezbt++aN9g2t4VffvIkH/3Pj3DueUF7dXlpvOm+5VKZUrGMSqPCbDchk0Minmi6L0AxV0Aul2OyGVFr1aSXUy1bT8VCkWq5gs6kQyaTUSqVGrRUteso5oto9BpMNiMyGeuOmReyBWQyMNqMaAxq8ulCS0F0PlegXCqjM2pRaZWUyxVSLaJ5KuUKhWwBo9WAyWZEoZSTTmRaCrNTiQyaZBKNQY1ap6aQLVLINjcsLRXKKGQK9CYtcrmMaqXa0tKiUqmSTedoM1iEdagUZGPJluvIJLJUq2C06tEaNBQLJckzbC1ymTyFXBGtXoPBKhTmrUTt1WpVaqWabSaUKiWZRKqlYD61nMZVqWCw6lFrVJTLlQZXfhGFbBGVQoWuTUspXyKVTJBOtv6b55IF5D7hs6dSK8kksi0HCJKLKdydTgwWAzKZjEqlQjHfah0FKU7I1GZEJpdRzLcW1ydiCcx2I2abCZVaRTFfpNLi/pJaStPmtvCJz/8SR9574JrfXYPBwMDAAP39/cTjcaanp0mn03g8Hnw+3zv1B/2GUCqV9syw1DsF7wimanl5Gb/fz5NPPskXv/hFafvJkyeZmpri4sX1PW3uu+8+FAoFL774orTtq1/9Kp///OeZmprC5/MRjUa54447CAavmhjef//9uN1u/v7v/57x8XEcDseeZapuJrdwu1Eul4nFYoyNjaHVavH7/ZviSC+xV0+/yNxUDFeXE6ffRmi0MW5EoRJG3kuFMhPnptGZtHQdFPRSM02Cez09LjQmFbHJRTKJrMBs6DVMDc2QX1PoGCx6IX4jItg42HxWvN1uolP1NgYgsDU9xzqRy+WMnZkS3NnX2BXUQmRrpocFQ08x9meteSUI04A9RztJLqaYHQkLtg6DvgYDRqgxx9QL8TzlUkWKVJk4N93AUBjtBuztVpYjSVbmEoII39fGzKVQQzyJSqui91gn+XSByfMzUjhvokm0C4h6qqssVO+xTpRqwfB07cSmKCoXheMCi+QkPBptmG6TxO2VKmNnpyS7gUwy29S5X2QKZ1YjdsSYoGYsnTh0kFhIELwSFULA9/mYm2qMjZHJZXj7ncgUMiJXYoJw/KAfOfKmYcbODgfuVQZ0KbqMr99Dm9vC5FCjyFz8m4tmmlIUTKR5QHHX4Xb0Jh0T56bJZ/L0Hu9GLpcxfrbxby6GGc9PC6J0e3sbv/DEw3zgX7VmpTYKcSItHA4jl8vx+/24XK5NFZXvRaYqHA6Tz+fp7u7elve7xVS9Q4qq733ve3ziE5/gpz/9KQ899JC0/U/+5E/47d/+bYaHh1vSn5FIBJ/Px1NPPcUf/MEfSNtPnz7NHXfcwTe+8Q2eeOIJAAqFQt103COPPILP5+Nb3/oWZ86cobe3d92JtN2M6elpNBrNdeUWbieq1SorKytEIhGSySROp5NMJkN7e/umOxxXq1UuvnyZH/75T3nrf59pKaQFIRNOb9Eil8uZGW4dagtgchro3N9OtVIV8tzWGTMX8wYFvYkwDdeKzQBBEG11WUAGkYk5FmZbR6qY7EIuWqVcIZ8t1HlqrYVcIafnWCdqjQq5Qs7U+Zl1bRncXU7cnQ6qVYiHl9YN7lXrVAQOeFGr1FQrwhTeevYQ3Uc60Jv1yOUyZi+H17XLaPNYCAwI3mCp5TTTF1pH7ijVSvqOdyGTy5HJqoyfq/frWgv/Pi82txVkMDcVa9oSFGFsM9B1SPib57OFhsm6WsjkMvqOd6ESr/WF5q04EVaPGXugjWKxSGY5x8J067+5xqCh91gXVKtUyhXGzkytGyvUfbgDg1W41sHLERajrQ1ArW4LHYN+6VqvFxKuVCu59xfv4KF/dR8qp4xjx4613PdGkU6nCYfDzM/PY7FY8Pv9WK3Wm2oPigNKe62ompmZQSaT0d7evi3vJ3rO7ZakkE3Gu6f9NzQ0BNBQjYv/e2hoqGVRdf78+Wu+VsRauwGz2czY2Bjt7e3S/mIbba8VVQqFoqnoe6dRGzgt+n+JkyWjo6Nb0rKUyWQcemCQQw8MsjwvslcvSeyM3W/D0+UkMjlf5wOkUCrov72bcrkiBfGqtCp6j3aSy+SYuhDkwosj0v6ebic2b1tdOHSt4eblN6+2I3UmLQfu7WYlliQ0KrAzJruRjv1+FsNLzI6EJSdwmUxGz5FOVDqVYBBZKEnFkVwmY+LcNBdeuroOm7cNX6+b0FiEpahQqLi7nEJ47eUIY6evumSrtCr2neijkC1IxqJao4buI52kl9LMDIfqxubdPU7UBgVz43EpnkSMVJk4O83E6avXz2DV03WwnXjkqiWCoLfxMDe9UGdkKlfI6btNZEUEZkxgD1fjec5NS+cCgpjf2e6om+yTwpovBhl5Y0zaV2vQcOCeAVKJNDMXhcJXDLNeiSUIXY4Qqpk87DrUjtakZfLctNROFCJ3BC1d7bW2ui34+z3EZhaYX82wtPvb8HS7CI9GGa251kq1koE7eymXylIotkIlp+Ogn0qpyvSFIMvRqwyqo8OGzqIhPrMs6bNEJnLi3DSXXrnq4G+w6Nl3Zy+JhSSzq9pAo81A14F2YsF43edaLpfRe7wLtUbF2JlJivnSagHYDTJBszX0s0vS/s52O54uF+HxqKTJ8/V5+NAnH+L9/+o9WBwmEokE09PrO+jfKAwGA/39/fT19bG4uMjs7CzDw8M3FRhcqVT23D0dBFZ/uwucvSbm32y8I4qqhQXhSdFkqp+OEhmMeLy1ad/NvFYul/Pqq6/y3//7f5e+cEqlklKpdENBlDsJhUJBqdT6yXU7USqViMViRKMCy+HxeLj99tsbqPxW03+bCavLwkf/80l+6T89wtALlzj97BD//K3niYcaWYFyqSz9KA7e3Y/OrCU8Gq37wa5FdDJGdDKGzdfGwIleCutE12STOS69egW5Qs7xDxxCrpAz8sYYF19u3L9arTIxJPxgdR0MYPPbWJ5briuOarEYWWIxsoTOrOWODx2lUq5w7vmLTU03i7kil1fP59D9+1DrNcwOhxh+tXlMytyEcAxnu532+/3kM/mmawZIL2e4+Mpl5AoZR993AKVaxaVXL3Ohyf6VshDqC4IZqtVtZTG8xJW3muvi5qcXmJ9ewGDVc/vDR6iWq5x9/mLTsOZcOi/Fvhx6z340WhVTF2e51OIcRTd2d5dTsGZI5Vpej+W5FZbnVlCoFNz2wSPI5TIuvDzS9JqUCiXpfPz73djcQpzP5NnmTNDCjPCZNFj19N3dSblUYertYFNmLL0iXGuAow8dRKlWCsX2yyMN+1YqVcbPTAFCIerr9ZBazjDyxmjTdcRm48Rm46i1Kh79Dx/mrg8f58h7D6w55tYXKTKZDLvdjt1ul9qD58+fRyaT4ff7cbvdG24PlsvlPeVPJaJUKmEwNJ9e3gqITNW7GbuyqPrxj3/Mz/3cz11zv/e+97288MILLf/9Olub14VSqcQrr7zCgw8+yMc+9jFpu1hU7TUoFAry+dYtj61GtVpleXmZSCRCKpXC6XQyODi47lPldhRVImQyGUcfOsjRhw7y0SdPrk4OvlinLbK6zJLJ4cjrwg+OXCGn7/ZuKuWKELy8+pFUKOX0HO2iWhUiY848JzzRuzodOAM2pi/Vm5B6up3Y/TaCI2HO/PgCIIQpH7h3QNI8iZCYo+UMUxeDTK3qfcS4l/GzU3WtRHH7xLkZTv3zOUDUGvmZn4kRm7n6YCFofYQ4GrHYUSgV9N3WRT6XZ3b4qmFjrZnn+NlpyZFcZMFmLgXrhPbi9umLQc799NLqOaoZvLufTCJT1y7VrGp/0stpJs7NADPXPkeTjomhaU4/O3T17zXgIzYTk1ijq+fuIzYT58Jqtp9CqWDgjp6GEOi1AcxiISrG18wMXw2jFv6+QhD0zHCIt58T1qEzatl/Tz/plfpzVGoUdBwMUMwUmR0OExqek85FZ9bVMWNAjWZrmrHXhaJa9L5KxTIsRa4yd6I+bn56gXPPC5pTpUrBwJ29VKvVuolB0bWeSpXxs1NSIertcWFfNcyt9bHy93t4+PGrrFQzbDfzo1QqCQQCBAIBMpkM4XCY119/fcPtwUqlsmeLqltC9e3Frrza9957L8PD6weVAtK4vCiuTiaT2O1XvVqSSeGLXrttLWpfW4tEItHytdVqlU996lOYTCY+/vGP1/3bXpyig51bt5iIvrCwgMlkwufzbXg8ejuLqlpYnWY++p8e4Zf+44cZeuESL/+/bzI7EmLs7SmW5+sZh0q5IjFEJodBKKRWs/dGTzcGGYuMilKt5OB9+1CoFSxFl5ld9UWqRT6Tl9gTf78HR8BOuVRh9PR4U6ZEFFPrzTr23z2ATC4jPBptKrJeWUiy8vKI0Eo81onRaiCXyTN2erKBVSmXyoy9PSVcG7eF7kPtVICpc9OMnmo8x7mpmOQmfuCeflQaFcuxBNMXgw3sWD5TkApUd5cDT4+LarnKlVMT656jzqTlyIP9KBRywuNzTc9xeT4hDSB0HW7H7DBTyBYYPTXR9ByvrJ6LGNcCMHV+puk5RifniU7Oo1AqGDzRh1qvJhlPMTk0w/x0/TlmUzmGXxPO0eo142hvQ6NebY++3dgiE89Fa9Bw+L37USjkzE3FpFZlLZLxNMm4ULi6ex1ozRqUcgVTQ6GGcywVyxIzZnGY6D7agUwmb3mOkYl5IhOr53h3Px37/Tz48Xs58p4DDfuuxU620/R6PX19ffT29rK0tEQwGOTSpUu43W78fn/TB7m9KOmAvcuw7WXsyqJKr9dfl6/GkSNHAJiamqozHpucnKz792Y4fPiw9NpatHpttVrliSeeIJlM8slPfpJUqn5SaS8zVdtVVJVKJebn54lGo8jl8pbtvWthp4oqEbXs1XIs0ZS9AjCY9XQc8jMfXODcTy5KkTHuLldT4XL3kQ40ejWjb09SyBZwtts5eP++htBeAKvHir/PLTEOap2a3qOdTSfShMnAbiqVCudfHKZSrhDY5+XAvQNMDE3XBfHCVeZodjjMxNlpjFYD++/uZyEcZ26yXpytMWjoOdJBJpHlzE8uIJPJhHPscQn+RGsE6B0H/BitBibOTZNL57F52zh0/z7C43MsRupF0SabAW+/m1gwzrmfXhK0U0c7Ka1qp2oJaZkMeo91IVcquPTKZSly5+B9+5pG7jj8NtzdwrTf1PlZdCYt++7qbWD/4KqgPZ8pcO6nF6lWq3Qdasfb625gxuBqfI3oQWV1mTl4/yCx2YUGcbtar6LjgJ/MSo6xN6fr4nzG18QKAdL06Mjro1LM0sH79xG8HGElVj+pahVDsKdiTJ8JCYan+5wUcyXmxurXIUb0lEsVhp6/RKUiRNJ4ez1MXWgSSTPg5YOPP8T7f+2BlqxUM+wGjZJMJsNms2Gz2SiVSszNzXHhgsAC+3w+3G63xPLs1eJkJ5iqd3v77x0x/SdaKvzO7/wOv//7vy9t/8hHPsLk5GSdpUImk6FYLNaZXN57772o1eq6VuLXvvY1Pve5zzE5OYnfL7ggV6tVPv3pTxOPx/mbv/kb/vqv/5rZ2VkymQwf+tCHOH78ODMzM6jV6l07RdcKyWSSYDDI/v37t+T41WqVpaUlotEoqVQKl8uFx+O5qdHbcDhMpVIhEAhs4kpvDtVqlfM/G+a5v/oZ89Mx5AohMqZV+HKb24Kv30MilsTsNBGdbLRNEKFUKVaz4MrIVQrKxXJLg0m42oJKxlOYbEZmRupbUbXQ6DX0Hu0kncygN+sl0Xkr+AbcWOxmsqk8OqOGyaEZci0m5kw2QVCfiKcwO4xNLRlEiIaeCpWcSrmyGu0y3XICs81jwdfnYWUhhcVhJDw2x1KLSTUhYkawwVCqFRRyxaYWBCK8vW5sXivJeAqjzShlDDaDzqSl+3AH6ZUsBovumjE63n4Xco2cSr6CyWpk6kKwpYeY2I5MxlOY7UbmZ+LMzzSfOBSNWeVyGZWKoG8ZP9vc/BOECUKTy0A+WcDmaSMyNt9QlIkQDUDLhZIgPP/X7+PwAzd2v4hGo6TTaXp7e2/o9VuJbDYr5dmZzWbp/h+NRjlw4Nos3G7C6dOnOXjw4LZZHFQqFdRq9Z4sQDeAd09MjdVq5Xd/93f5b//tvzExIdDUP/7xj3n22Wf52te+Vrfv8ePH6evrI52+enP8yle+wquvvsozzzwDQDAY5L/+1//Kk08+WVdQ/bt/9+/4h3/4B06ePMn3vvc93n77bV5//XV+9rOfSYzVrfZfPTKZDBMTE7z11lvMz8/j9/u588476erquukv+k4zVc0gk8k49J5B/uNf/Bs+891/zx0fPoa9RYyJUqPA0WEnm8gRHp8jv8rYyBXNv5auLidKtZLoZIx4aBGdQdsyukZv1mHzWlmJJQmPz1EqlnH6W7fBPT1OqlSJTsyzPLeCyWbEYGnuRm92mGhztbEYWWZuch6ZTIazvfmxZXIZ7i4nxUKJyHiU5GKaNo8Fta75IEeb14rWqCE2u8jc9AIqjar19VMrMDoMLETjhMciZJNZnO02FMrm18/ht6NUKSWHdr1Zh9Xd3I5DY9BgdVtILAjXr1ws4epyNI12AUGIX61WiU7OsxRdxuIwY2oRb6QzaTBaDZTSZZbCKyiUCjw9zaNdAOwBG8V8ifBYlEQ8hT1gQ2tsPtFlcZrQ6NUshATfLbVW1TI2RqGU42p3oJKpWZhdYmUxgdGpaxqdBOAM2Lj7F27nd3/wJE9++9Mcuv/GXbp3A1PVCjqdjt7eXu69914CgQDhcJjz58+TSCTIZFrbiexG3NJUbT/eEUyViNqYGoVCwe/93u81xNQ8+OCDxGIx3n777bpR02effZYvfOEL5PN5CoUCv/7rv85nP/tZ6Ys/NDS0bijlP/3TP/HAAw8wNzdHLpejs7Nza05yi5DP5xkZGdmU4M217T2v14vD4dj0p5f5+XkymcyuyJqqVCpUq1XK5TIymQy5XC79J5PJGHrhEs9++wXe+Me38fa4hDH3Ji03uDp2H52YJ5/J03EwwMp8gtBoo+eTXCGYfVargoi462D7unE0zg47rg4HsyNh5HIZ/gEvsRbMh1KtwDfogRIEL0foPda5ynw0GjtCTbvrwix6sw53l4vwaKTBRBOuMjsr8SRzkzF6j3dRXCdipvNAAJ1Fx8TZKexeGzavlelVU821MLbp6TwQYCG0xHIsQc+RDtLLmabMm1wuo/topxCjcnYKX58Ho1XfknkT7CeECJ98Ji/ExkSWiEw0Mm9KlYKuIx3kslmCw1F8A24MJj2TQ7NNPaKEdqtdyCuUy6SWXbOIHo1eLZl0zo6E6T3WCVUYP9fYKgQI7PNitpuEv41Fh7vT2TLAWmfS4uhqI5vIsRxNcu8v3sHDjz/EoQcGqVardX8f8TMO19f2CQaDlEqlXfHd3QhEY9FyuUy1WsXn8+HxeHZ9wbLdIdC3mKp3WFG13Th16hRf//rX+cY3viFti8fjLC8v70paez2USiWGhoa47bbbbuj1YnsvEomQyWSk9t5WeqQsLCyQSCTo6enZsve4FiqVCqVSSbppKRQKFApFy6fwlViCn/z1yzz37ReaOlQDsKoLUqoUlEsV5HIZYy3y2+BqCywZT2GyCwHPtR5NtRCnDqGKTCGnXCgzca61+aerw46zw0lyMYnJZmJmONiyhajSKAU393wRtVZFLpWX7AaaQfSJSi2nMVj1UsBzM4jTfrlkFp1JRyLeOnsRwNHZhslmpFKs1jh+N2+vGa16Og4KOYrGNgPx8FWfrGboPtKBRqemWCihVCkZP9vaSFNv1eEf8JJL5jDbTS1zDEFg9XqPdSFfDRiuVKtMNNFTibD72vD2uEgsCu3d0JVG538RCqWcvuPdlIolVBoV+RqfsWYIDHh54OMn6HuggyIFnE4nPp+vLkuztsCSyWTSw8RGfsBnZoT37ujouOa+uwGRSIRsNktPT4/UHpybm8NoNOL3+7HZbLtSS7TdLvCVSgWNRrNrWcibxK2iaqsxNjbGk08+yXe+8x1p2/LyMvPz8wwMDOzgyq4flUqFt99+mzvuuOO6XpdOp4lGo8TjcSwWC16vF5PJtC03mMXFRRYXF+nr69vy96pFpVKR/hN/SBQKhfT/bwSi9urZb7/A6/9wmlKhhCNgw+azEh6fIxWvZ2BEK4O5yRgLoUUh5PlYJ+VCmcmhel2VEF3ThUwuk0bja0XniXg9O2F2mbB4TCyHVkjG06h1KnqPdZFN5hqKIuWqwWaxWGLirDCZFhjwYHZaBCHzmlDgtfYJIkPVrCgSNDsddcVYxwE/RotBYPXWMEe+fg9Wl5npC4J5qhQKHW2MVBGF9KmltCRA7z4sDASMn22Mr+k44MewKqTPp/NYVi0I5mYW6iwm4GoYtWRaKoP2/V7UWg1TQ7N1rF5t+PL4uWmKuaIQ39LrkWJkaiHYPniJzS5KGr2+492Uy416OrlCTs+RDuRKucAmFstXmckmf3exKIus6vhUGhX3/OIdfOiTD3KwprVXLpeZn58nHA5LLE2tx5P4GyL+X7GwEv9rhqmpKcnmYC8gGAxSLpfrOhCiDUwoFGJlZQWXy4XP59tWX6hr4VZRtam4VVRtNebn5/nYxz4mabEAUqkUMzMze07QCGw4t7BYLErtPaVSidfrxW63bzvlu7Kywtzc3LYUsGJ7T9Rw1RZTN3sDWYkleO2ZU/x//9ez68a6APgHvDjb7ZTyJYZfv0K51FpTpjVq2HdnL3KFgpnhYEsBvIiOgwFsbgv5bIGRN8ZaxqmA4Mjdf0c3MpmcyfMz60bGgOAwbrYbySRzjJ4ab8mMgTDt13ebwD6OnZlsyYyJ6L+9G71FT2opLZlUtly3TU/v0U4UcgWjpydbCs9BmCQcuKsPnUHDSixZ5zLedN0OAx0H/CgVKkZPT7Rk3UAogPbf3YdKK+ifgiOtWTcAR7uN9n0+yqUKl98ca8m6gZBLeeCefhQqJfPTsaYGp7VoH/TxC//+Ye7++Tsw243r7iuyNGIEzFoLlI22BycnJ9FoNPh8vnXfb7dgZmYGuVzesggUC89QKES5XMbv9++K9uBOFFVarXZXsnabgFtF1VYjn89z33338fzzz0vbcrkcV65cWdfGYbdivaKqWq2yuLgo0eButxu3272jGU9bPbEIwk2iVsB/rfbezaBarXL+xRGe/cvnJfYKBNG5o7uN9GKG+OxVJsNsN9G+38fcdKwu66/rUDs6o5aJoastL7lcRvtBP5VKieDIHNWy8FU22Qx07A806ILEqcToxLwUNQLQfbQDjfYqywKirqsTZDLG3p6UijHRQHSthYDd14anx01oLMryKjMjk0HPUaHlOX5uWjp3ceKxXCrXZRSKurO17TSRmanVC8nkMvqOdQmRKuemqawWokq1kp6jHRTzpbpWmMDfIm3ZAAAgAElEQVTguBuYI8nQs8a0VCaX0X7Qh1KhZGpoRmKORGuLXDpfV4yJgc1rrQ98/R7aXBamL85K2YoKlYLe412UVtcnhdUaNHQf6SCdyNR5U0nGomtCqWv1VGKhp9YKrNTDj9ezUhuF2O4Ph8OkUik8Hg9er7fufrBee3B8fByDwbBnpqSvpwjM5XLS9KDBYMDv92O327e90NiJvMJbRdWtouqmUK1WOX78OC+99JK0rVgscuHCBY4fP76DK7sxNCuq0uk0kUiExcVFrFYrHo9n29p710I6nWZqaoqDBw9u6nGbsVJKpfK62ns3i8RCkp9+92WGXx/j9LNnW1oyiOvbf08/WoOG8PjcunogAIvLTN+xTkrFChdfHlk3MFoul7H/vn1otGqCV8LrhgcD2LxWug63U8qXuPjKlaaCdunYCjkH7xtAqVExOxJaNwQahIKkfb9/9diXW2qNQHBAF489dX6mwfuq4dirTFAhV2L41cstbSoA5Eo5XccCGIx6Zi+FW+qYRHh7XHh73eTSeYZfG1036UGlUXLgvkGUSjmjpydIXIOl8/d7cHU6yaZykklqK6h1au740FH2n+jnoV+9D5NtfVZqoygWi8zNzRGJRFAqlfh8PpxOp/RdadYeHB8fx2q14nK5NmUNW42xsTFMJhNut3vDrxFD4EOhEMvLyzidTvx+/7a1B0ulEqdPn+bEiRPb8n5iEX2rqLpVVN0wxKLqxRdfrKO/T506taE22m6DWFSJN8m5uTlUKhUejweHw7Hr+uTZbJaxsTHJwPVmUS6Xt6S9d7MY+tkwz337eV575nSdIFqmkOHb50KpUDF7KUylXMFkN9I+6Cc6Nc/imnafwJK4VoXsy5JBp1KjbDDoVCjl9B7vplIuC2LpSrVldA0IDJG7w0FwNMry3IrgxH60A6Vaydjbk3VtSoVKQd/xLko1ejBRO7SWdROP7epwErwcZiWWqJ/YO9N47N7jXZQKJSbPCexOK1YLwNXhoM1nYXYkTGY5i0y+ek1WpwFrjy1Xyuk45IeS4GperVYlPVRkcq6hvbqWOapl9MbXDB6IxqK5TJ6p84KeTJo0bOJd5u5y4vDbpAlIySx0NeC49thqrYp7H72TDz7+IAfv28dWIpVKEQ6Hicfj2Gw2fD5fXa5qNpslFAoxPz/PkSNHMBqNGxa37yQuX76M3W6XEjiuF+VymVgsRigUolQqSdODW5kRm8vluHjxIrfffvuWvUctxKLqRgKr9whuFVXbgWPHjtUVVQBvvvkmd9111w6u6vpRqVR44403MBqN5HI53G43Ho8HtVq900tric2wgVjb3pPL5SiVyh0vpJohsZDkJ3/9Eq8/cxqFStGQK7cWnQcD6EyCF1g+U1jX6NJkFww6M8kcepN23WNLYmu9+vqPbVw99mLrY3cf7kClE5jBXPpqkdEMYgs0nchiMOsaWl/N1q3WqTZ0bEObHnu7lUKuiKXNTOhKtKmFg7TuIx2otEpkchm55PqTj2KBmklm0Zu0gtv7esc+2oFKI1yTbDLXNHZHOvbqUEO5VOG+X7qThz6xeazURlGpVIjH44TDYXK5HGazmWw2S6VSwe/343K5kMvlNzw9uN0YHh7G4/HQ1tZ208fK5XJEIhEikQh6vR6/34/D4dj0806lUoyNjXHs2LFNPW4rSO3pbTIa3QG8e8w/dxIKhaIhlmY33hRaQfzivfXWW5TLZdrb27nzzjvp6OjY1QUV3Lj5p1hIFQoFKdNLpVKhVqtRq9W7sqACwXTzl/7DI3z5J7/LJz73Sxx/3yFUmuZCWHevE4NFz8xwiNCVKHqzDldn86dsrVFDYJ+P5GKKqSFhgs/f52l5bH+/G51Jx8xwiODlyLrH1hg0BPZ5ScaFY6cTGfwD3pbH9va50Zq0zI6ECV6OYDDr8fQ0bxFp9Gr8Ax6Si2mmhmZILaUJDHhRaZs//Xt7XehNOuHYI8KxvT3N2zlKtYI2v5lMIkf0SoxsMkf7oK+laamnx4XOqCU4EiE4HMFg0ePra35slVaFt89DainF5LlpUktp2gd9UpG6Fu5uJzrD6rFHIhisBnz9zbVIaq2K4x84xK899S/48o+/wC/81sPbXlCB8N00mUyYTCbK5TKpVIpcLlf3HVtbRIn2JKIX1HU+8G8pNjP7T6vV0t3dzT333EN3dzexWIxXX32Vy5cvN8Se3QzK5fKOC+XfjbjFVN0kHnzwQf7qr/6qLnh5o1N0OwWxvReNRlGr1dL03vnz5xkcHNxR8fn1oFwuc/bs2Q3T2+JNG4TCdytF51uJWpHwfGiB6dfDvPW/zrESS9JxMMBSdInIeHNdVdehdrQGjWR0qTfrmDg3Qz7TaHRZaxWQWEjSdaidlVhzE1IQmDG9ScfY2Sm83S6MbVez/dbCYNHTeaid5blllucTdB1qJ7GQJHilebRLx37R4mAKV4cDk83I5NAM2VSuYV+9Wbe61iTxyCI9hztI1lgprEVgnxe1QWihWtxmbG4rwZFI0+k9rVFDz5FOEvEUsdkFeo52kV5uHekTGPRhthmZujCL1WXG6rJIWYBroTNq6T7SQWo5TXRynt6jXaQTWWYuNWel/ANeLE4TU+dncfhtfPA3HuShX70PY9vOjfRXq1Xi8TihUIhCoYDf75fsF6rVKolEgnA4LGmMNtP7aitx7tw5ent7MRq3pkCtVCrS9GCxWMTn8+H1em+qPRiPx4nFYteVo3szqFaFWKS98vtxA9jQh/BWGXuTsFgsJBKJuqJKJpPtuhiGSqUiTe/l83ncbjdHjhypY6P2WsTORpgq0U9KvFGLhdRedPwV2wZzc3OYTCYCgQAHDx5E9rCMx3/vV7n4ygj//K0XGD010fIYi9El2gcDuLtcGK0G4uHFpgUVQGo5TSYhBAFrDRqqlSrzs/Gm+wLEw0sYDxrwdLsw2owsz620zANMr2RIL6exOM2oNCqqQCzUWqgeDy9htBlwdzoxthlIxFNNCyqATCJLajmN2WFEoZKDTMbCOseen12g/YAfb7cbg1VPeiXT0g4hl8oTnZ3H4jDhbLcjk8vqpiPXIjazgMlmwNlhR2/UkUlkmxZUANlUjqW5FdrcFtydTuRKOUvR9Y89cEcPj33xVxg80d9yv+1APp+XDDEtFgs9PT11WioQ7osWiwWLxSJZEIyMjFCpVOq8r2r1qWv94NbzvtpKVCqVLb1niMHyHo9HupanTp1Cp9NJ04PX+3uyV0Og9zpuMVU3iV/7tV/jiSeeqNP1nDlzhkOHDm2pCHGjSKVS0vSezWbD6/W2fNq6dOkSHR0dW/Y0thVoxgqujYwRWalaz5y9gkqlQiwWIxwOSwJXt9u9Lq2fiKd4/ruCa3vwSgSZXBCNF4tFgsMRKuX6r7GovRo/I5hgWt0WAv2ephEpeouOroPtLM+vSP5HPUc7UamVdVYIItoHfRhtRslEU9RXLQSFbLpaiExNcjHVaNBZY+Egwt/vwbIai5NJZDFY9HQdam9u/rka65JaSTN7STi2u8eBxWFm+kKoobD09rho87ZJIcqSaWkTNk0Mai6sxuwIaxNYpGZsmqvTgbPdQXAkxMpCUjJbbRal08xSomO/nw8+/iAPfWLnWamlpSWCwSC5XO6Go1uy2az0sCAGGN+I99VW4tSpUw0PoVuNarVKMpkkFAoRj8clZm9tsdoK4XCYfD5Pd3f3Fq9UQLVaRS6X73rZyE3gllB9O/Bbv/VbnDx5kgceeEDadv78efr6+nZsCqJQKEjTexqNBq/Xi81mu2ZBcfnyZTweDxaLZZtWevOoLaq201Nqq5FKpQiFQiwuLuJwOG7YqfnCK5d56W9f5yf/z0sU88WW+0lmlDq1YBg5ur5hZJvHQtehDqqVKsOvX1nXjPKqiaaWpegS05eat8pEmB0m+o53Ua3C5TfH1jXRBOi7rRuj1UByMcn4qst7K2iManqPd6LWaBh/e1Lym2qFriMdWJ1mMoksV94aX3dftU7FwF09qFVqJoamr2m1ENjnwxGwkc/kr2m2qtap+eBvvJf7f/kE++/eWVaqUChIPky1RdDNYq33ldvtxuv11gmfd6o9+MYbb3D77bfvmEZJfLgS26perxev17tuATM7KwyPbFcUUKVSQalU7goyYYtwq6jaDnzuc5/jyJEjnDx5Uto2PDxMIBDY8BPFZkCctolEIhQKBTweD263+7o+4GNjY9hsNmw22xaudHPx5ptvctttt91UZMxuQalUIhqNEolEUKlU+Hy+TbOySMRTPP83L/Pct39WFw9j81sx2HUszq6QXspI2zsOBDCYBX2UyBAJNgtdlEuVuogUkWFKLCQIXrmqtxJjUMLjc3U+Uf5+DxaXhanzM1LBJJNB7/FuZHIZEzWBzWqdmt5jnWQTOaYuXp2mMztMtA/6ic0s1IVBr43FEeEdcGG0GJk6Pyudj1KtpPdoJ8Viiclz05KxqKj3WlrDeNn9bXi6XYTG5iTTUlhl41b1Y5LZqkKYBpQrFHUWBxJjtkbjJVpKzK+Jwek8EOCDjz/Ig5+4F6N1Z1mp5eVlgsEgmUxG0vxsVZFR+13YqPfVVrJX2x1MvB7EojYSiaDVaqXpwbX3ie12rb9VVK3udKuoujl86Utfwm638/GPf1zaduXKFVwuF1ardUvfu1qtSu29paUl7HY7Ho/nhtt3k5OTGI1GnE7nJq90c1Frznn27Fnsdjs+nw+dTrfnCqna/LBWztSbjYuvXOalv3uD0VMTjJ2ZXHdfvVnHvjv7kMlgdAORMR37/dh8VrKpPKNvja9roqnRq9l/dz8yuYzpi8FrGnR6elx4up2rET1j6xqLKlRyAge9GEx6FmaWrmlaavfb6Njvo1KucOm10YZWYy3kchkDd/WiNWg3FDFjshvpO95NtVrl8htjLbVgIBQE/bd303d7D+/5l3fvOCtVLBaJRCKEw2FMJlNDa247IN7jFhYWmnpftWoPbuYatzvuZaNIJBJSe9DhcOD3+6VrMzo6isVi2TaD1VtF1epOt4qqm8M3vvENMpkMn/rUp6RtExMTmM3mGzaKuxYKhQLRaJT5+Xm0Wi0ej2dD7b1rYWZmBrVavWujI8T2njhlIk4UiWGvWq2WQCBAW1vbrniiXA9rRec+nw+r1bqt604upnj+b17h2b98oSHcWKlREBj0UsqXCY4IGqJmjIwIiSFa9bfS6DX0Huus00eJUKyGMpeLV80/vT0ubL42pi9cjWkRIRhsuiXGS6lW0nusk2K+xMS5Ne0+GQQGPWj1OqaGZigVy1cZplVj0loY24QJR1HjJZfL6DnaiVwhZ2yNiSZAx0E/BrNeugaC35SP2Gy8oXDTGjV0HAiwNL9MbEpgnzoO+NGbdYyfbdSIdR4I8PAnH+S9H995VmplZYVgMEgqldqUSbTNQK33VT6fx+v1NhhoblV7cLcWVSIqlQoLCwuEQiFyuRxer5d0Oo3H46kbotrqNahUqneyjcOtomo78N3vfpcrV67w5JNPStu2ojgRvzTRaJRisShl723mjS4UErQufr9/0455s9hoZIw4rh0MBkkmk7vmh6AWtTe+jYrOtwuXXr3Cs3/5PFMXZ9EbdUyeb25XAEii7eRiCmObgfRK67F/AF+fG6vLwko8gdVpWddYVKVR0nusi3y2gEqtEhzda1qNa9HmtWByG0kvprF7bcRnl1pO48kVcnqOdiKTQ7lYQaVRMn62UVwvQiyYludXsDotDfmIa9F1qB2tUUMmmcVoNjAx1NxOAkBr1NKzmt/Xe6yLhx9/iMETfS2PvR0oFotEo1HC4TB6vZ5AILDthf5GUSgUiEQiRKNRdDodPp+vLl9vs9uDu72oqoV4bcR8xa6urrrW6VahUqmgVqvfyROHtywVtgOipUItNsuaQJz+iEajLC8vY7PZ6O3t3bLsKIVCQaHQWnC8nbhe0XntuHaxWCQcDnP69GnJemAnxfe10R12u53+/v5dN2F54N4BDtw7QGopzfPffYXkUiPDJKLNI7S1F4KLVAGTzYjGoCHfpIBQ61RYnGbSKxkWZhcx20y0eSwti6o2twWlSkFkfAmNXoOzw46hzdB0f5lchsluQImSxFwKu8tGm8fKYnS5qejb1GZAa9AQnZynVCjhH/BidZkbJhxrz7NcLBObXUSlEc5jIbTYNIdRZ9KiN+tYWUiyFF3GeMiA3WcjNNrcd6vNa8Z/3MUDv3KCvsGt+05vBCIrlUwm8Xq9HD9+fNdPcKnVajo7O+no6JC8r0ZHRxu8r2QyWYM1w27xvtoqiNdmeXkZj8fD0tISo6Oj2O12/H4/ZrN5p5f4jsYtpuom8dJLL/H000/zp3/6p9K2ubk5crkcnZ2dN3TMfD4vTe/pdDppem+rbwKxWIxUKrVtI7hrsdZT6mYjY9aOfPv9fjwez7Y8Sa0V2rYSk+5miOzVq//rLVQaFZ2HAsTDS8xNxhr2XStW9/d7sbgEY8pm03veHhc2bxtTF2Yp5Ar0HqvPvauFYCvQSTadY/ZSGLPLhLfHxdzEAsvzKw37t3ms+Ps8hMeFjMPeY13IFPI6AbwIKV5Go2LszCRag5augwEWQo2WD1BvWhoem6tpiTY3UPUPeLE4TExdmKVcKnPfR++SWKm1zGWtUeZWQ/x87rW2+XoQ8/XC4bDkfeVyueqY4LXtwY14X1WrVV577bU9w1SJOH36NAcPHkSr1Uqt01AoRDablaYHN1O7WalU0Gg0e+oed5241f7bDgwNDfGHf/iH/MVf/IW0LR6Ps7y8TG9v74aPUy6Xpem9UqmEx+PB5XJta/tqcXGRxcVF+vq2rw2x1lNKpOk321NKNNSLRqO0tbURCAQ2nS0SRefhcJhkMtl0JHwvIrWU5mfff40f/vlPWrJXcNXJvFQso1QqmDg/TS7VvP0F4O11Y/daqVSqZBLZdbPy5EoZ7Qd8qNUaNDo1syNCuHIrWD1WAv0eivki1QqMnZls0EfVovtwB1qjBoVSQWw23rSgqjvPw+2UCmWUSjkT52fWPc/OgwE+/G/ez3v+5d0YLPqm++RyuTrzTJFR2OwiJ5lMEgwGWVlZwe124/f7dz0rdSPYTO8rMRf1nnvu2b4T2ASIk9Fr5QWiJjccDqNWq6Xi82bvt7eKqtWdbhVVN4fp6Wk+/elP8z//5/+Uti0vLzM/P8/AwMC6rxXbe5FIhJWVFWl6b6daASsrK8zNzV1z3ZuBnYqMqVarLCwsEAwGKZfLBAKBm76h1LpJG41G/H7/rtWi3CwuvXqFZ7/9PK/+/VsUVoXWgUEvMpWM6JX5utaY1rAa6bKYkoTwGoNG0BI1Mbp0dzlx+G1MX7oaLmz1mnF3OgmPztW1ABVKBb3HOqlUqoyfmaRaFdqBfbd1U61UBR1WTRElBhjPz8QkywLRiHStjQEIonG9Rcf42SkKWeE8hagcfYNQX6PX0HO0/pw0ejX3//IJHn78QfbdtfGHlGq1yuLiYgOjcDMPV+Vyue5HNBAIbAvzvRuwGd5XxWKRM2fOcNddd+3IOdwoNmIDIfrhLSws0NbWdlPF/K2ianWnW0XVzWFlZYWTJ0/ywx/+UNqWSqWYmZnhwIEDTV+Tz+el6T29Xo/X690V1Lv4FLt///4tOb7Y3lvrKbVT+oZsNksoFCIWi+FwOAgEAhs2bBVbN+FwmGKxKE0i7QbR+XYgtZTmxb97nTf+8W3O/uTCNfc/9N5BNDo1E2emWZprbNnVQq1X0XdnFyqFmnM/vXjNY3cfbqfN20Y8GL+msahMBsfffxi5Us6Fl0fWZZgAbD4r3Yc7yKXyXHzl8jXXcsfDR7nz5HEe+OUTLVmpjUJkFCKRCHq9Hr/ff133iVQqRTAYZGlpCbfbjc/n2/Os6c3gRryvZDIZ+XyeS5cubThjdLfgesT1a9uDHo8Hn893Xe3BSqWCVqvd8d+xLcStomo7UCqVuPPOO3nxxRelbblcjitXrnDkyBFpW7lcZmFhgUgkQqVSkdp7u+lHOJPJMDExwaFDhzbtmM2m92qLqd2A2jBTuVxOIBDA4XA0vTmk02nJF8Zms+H3+3ed6Hy7MfzaFZ799gu88oM3JfYKQGtU4+y2k08WmF+1FBBZndRyhtk1TJW9vQ2Hz8bsSFjKx3N22HF1OBomBgUj0m7KRWE6UIjIEOwQZAp5neEmgMVpJrDPy1xN9I5opxAPLRJdoxMTo3smzs1QyAqslKiPmjw/QzZ5dTJSYqU++RD77tx4y3+jECdbQ6GQ1LZrVSCVy2Xm5uYIhUKoVCpJy/cO/qG7IaTTacLhcB1D08z7SrRsicViHDt2DNi+aJybxY1OLIreZLV60I2w+beKqtWdbhVVN4dqtcrx48d56aWXpG3FYpELFy5w7NgxEokEkUiERCKBw+HA4/HUpbLvJuTzeUZGRupyDG8UezUyJp1OEwwGWVxclDQnCoWCubk5wuFw0yfcWxCQWkrz/N+8wls/PEs+m2/qxVQLe3sbhjYdKrWafKqwrommmIEnk8lQqhXMDodJxJMt97e6hCKqkC9DpcJ4E5F6LToPBjBY9MgVchaCi0QnW1sniK7oaq2Ku3/+Dt77sXtumpXaKEqlUt1nUSyastms9Ll1uVz4/f53NSu1Uaz1vhLNdwHJtdxsNtPR0YFer99T04ObYQMhTi7HYrF124NiAXqrqLpVVN00xKLqxRdflD5M2WyW06dPo9FoMBgMeDyeXdHeuxZKpRJDQ0PcdtttN/T6jXpK7QWUSiUmJyelSSKXy0VPT8+O5TnuNQy/Psqzf/k8r/z9WxLTUwtHZxs2dxszF0NUq1V6jnSSTmSYadK+U6qV9B0XvKumzs9i97fh7nISvBxpKla3eqz4+9xExudZii7TfbQDlVrJ2JkpysXGwqrzYACdUcv4uWlUaiVdh9tZmU82tUPQGjTc/8sn+ODjD24JK3U9SCQSjI+Ps7S0JI3R+/3+Pfdd2y0oFApMTk4SiUSoVqt4PB76+vokPdt2R+PcDDZ7YrFarUrtQdFUtJYtFa/JO7yQv1VUbReOHTvGP/7jP/LDH/6QwcFBKpUKuVyOu+66a1e1966FarXKqVOnpIDijaJcLu/q9t71IJ/PS6aCRqMRn8+HQqEgFAqRSCTwer34fL5dZSq6m5FcTPFP3/oRP376JRLzSdr3+0gvZYiMN2eCvL1u2jxWps7PYLYbsfttTF+8KlyvhUIpWC1UK1UmhqaF1h8wfna66aSfKEyPzcbJrGQFJ/UW1gkAgX1ezHah3efpcgkZfB+/F715ZwvrTCZDMBgkHo/jdDrxer2S4Fi0Etgua4Z3AsSWaTAYlLL0lEqlFP+11vsKdi7YeaMolUqcPn2aEydObPqxa01iFQoFfr8fp9OJQqG4VVRxq6i6KVSrVV555RUee+wxAD7wgQ/w+7//+xiNRt56663rLk52Aza67rXtvZv1lNpJ1Io0C4WC9KO0tnCq1RoYDAbJVHS33Eh3E2qHAETtWfBSlGe/9Twv/+DNpuwVgEqrou94F9lUHp1BcCefvtjarV0IbXazvJDA6jATHIvWhR2vRdfhdrR6DflsAY1ew/iZyaZmnnCVlXr4Nx9i4Pae67sAm4xKpUIsFqtLPWjWgs5ms4TDYebn57FarbfMHtdBbXHaqmV6I95Xu6HAyufzXLhwYcvF9aI2bW5ujv37929bePMO4VZRtVWYnp7m6aef5gc/+AGDg4P87d/+LW63m5GREWmfd2JRtba9JzJSe7G9B/Vi1WZBra0g+lEFg0Gy2Sw+n+9dNfnXCrU//NVqVfoBWsuYpJbT/Ox7r/Lst1+QCiZvnxu9RUtwONKQK+jpFnIBZy4KuYByhZy+492Uy2Um10TYXI2ikTH29iTVShWTzUDHgUDTfD6DRU/XoXYWI8tEJuYA6D7SwcOPP8h7P7bzrNTaCVW/378hTabYrgmHw1IW3NqcvHcjxKndYDBItVqlvb19w6a8a72v1uZ17qb2YDqdZnR0VBLXbzXE34R3uDzi3VtUff3rX+eb3/wmSqUSpVLJU089xaOPPrqh1z733HN84QtfIJvNUiwWeeyxx/jMZz5T96X7zne+Q6VS4aMf/Sj/5b/8F/7sz/4Mr9fL5ctXR65PnTrFbbfdtueKjWZF1U55Sm0FSqWSFMAsl8tbPvFvFIVCgVAoJJk2BgKBDRVm7yTUTkQ6HA58Pt+GvdYuvznGa8+c5n9/88cNxdRaeHtcePvcZBJZRl4fu+axD9w3gM6gZfZyuKGYWgutUcvPf/rnOPGR2+jfBaxU7Q//RqevWkHMgotEIlJLey9oPDcT+Xxe+p7abDYCgcAN+wFuhvfVVmNlZYXZ2dlNneReD2LI/WY6tO9CvDuLqi996Ut87Wtf44033qC3t5cf/ehHPPLIIzzzzDN8+MMfXve1L7/8Mu973/v4/ve/z6OPPsrs7CwnTpzgscce44//+I8b9r9y5Qrvf//7yWazKJVKRkdHpX87c+YMhw4d2nNPhmJR1SwyRiym9hqq1SorKyuEw+FrjqTfzHvE43GCwSDFYlEyFd2L12sjKJfLdTYUN1ucplcyvPC9V3nu2y/UOavLlXK8/U4q5SrR0Zj0eXR3OXEEGvVWzQw95XIZ3Uc7USgUDc7qPUc7+eDjD/Lej92D3rSzT9m5XI5QKMT8/PxN//A3g/g9CIVCkuP/9XoR7SWIjPLs7OyWxVStncZsNhl8I9E4N4vFxUWpJbcdqFQqKBSKd6Q7fw3efUXV8vIyfr+fJ598ki9+8YvS9pMnTzI1NcXFi+sbCd53330oFIo6z6mvfvWrfP7zn2dqaqqhX/yLv/iLnDx5ki9+8YsUCgXGx8elfzt//jx9fX17ig6tVCqcPn2aw4cPS209kZHai6xUoVCQomkMBsN1myfeKGp/HO12O4FAYNfaaFwvkskkoVCIpaUlXC4XPp9v02ELNcEAACAASURBVD/jl98c47m/+hmx2TgTQ9Mtw5dBmAzsPdaJQqWgVCgzcXaKUpMJPxEWp5nuwx24Ohx88JMP0n/bzuRciljr8L9dIvNaI0zRz8put+/J7/lalEolIpEI4XAYg8FAe3v7lkT+rMVGva9EbGV7cH5+npWVFfr7+zf1uK1QqVRQKpV7jkS4Tmzoj/SOEoH88z//M5lMhoceeqhu+/ve9z5++7d/m5GREQYHB5u+NhKJ8Oqrr/LUU081vLZYLPLMM8/wxBNPSNuff/55xsfH+c3f/E3+6I/+iHy+3plZoVBILbPdjlrRud1uZ2hoCJ/PJ03B7CWs9Z3xer3cfvvt2/pl12q19Pb20t3dTSwWY3h4GJlMJpmK7rUfrtqncfEHeN++fVv2I7Xvrj723dXXkr0SYWjT0b7Px0JwiYXgIq4OB/tO9DFzKUhysXFasPdYJx98/CHe8yt37zgrVduOamtro7+/f1tNZJVKJYFAgEAgQDKZJBwOMzY21nTSba+gNtfQ4/Fw/PjxbWVODAYD/f399Pb2Eo/HmZiYkLyvPB4ParW6Tn9Vmy6x2e3Bcrn8jmXJdzv21i/mNTA0NARAd3f906f4v4eGhloWVefPn7/ma0VUq1WefPJJvvKVr0gtMVGoJ0KpVNZNx+02tIqM6e3tpbOzk3A4zFtvvYXVaqW9vX3Xu4avfUrs6enZcW2TXC7H7Xbjdrsl3dH4+PieMGdc6+Lt8Xg4fPjwtq7ZYNFz8t9+gJP/9gNcfnOMZ7/9Ai//4E0CA14UCjnjZ6cYef0qOzw/s8D8zAJKtZJ9d/ZSKBSJjM/xnn9xNx/85EO7gpVaXFwkGAxKU6Z33XXXjv/4mUwm9u3bJyULDA8PA7QcNNhNqFQqkoO8WCgODg7uqF5MLpfjdDpxOp1S1NCZM2fQ6XT4fD7sdrtUSInMlXgv3iz2qlQqbfsD8btJo7ce3lFF1cKCIEZd+2MqjhTH4/GG19zIa59++mlsNhuPPPIIIBRQzYqq/5+9846Pos7//2vTe0IKSbaE9BASUEoAQariUaQIggKCEiDFQNRTz3KK7XuCKIoJkEIH6aiIcijSmxAgSBQCJCEhO7vpPdlsts3vD34zN7tJIGXL7Gaej8f9cePs5rPD7sz78y6vF9syVe2Jc+o2ndvZ2SEwMBB9+vRBZWUl8vLyoNFoIBQKWaUkTunLUE3nfD4fISEhrFkfE2dnZ4SHh9Nr/uuvv2BrawuRSMQqc1umBo2joyMEAgEiIyNNvj4qe7X4i/kPJge3nIJa1VqLCgBUChWUShUmxo5nTVaKGjt3d3dnRcDfFlZWVnRWhZo6zMrKarOUZWqYU5E+Pj6IiopiZauFnZ0dAgICIBKJ6IxgXl5eq4EOKsCigivgf+XBrvz21Gq10fubTH2PYAusDqqOHz+OCRMmPPK8MWPG4PTp0+3+9072jT0UmUyGFStW4KeffqKP2djYtPobbAqqqPIeNaHR0ek9Ho9H77goTZd79+7R9i2maHDVzaD07t2btTfUtrC2tgafzwefz6fLFXl5ebRCsSkaPamGXolEgsbGRvj7+xu9dNJRnN0cMTnuKUyOewp3rhTg2NbTOP/9ZcibWuDg4oDh0wei34RQeIhc4e/vD1sH09ziqAkxgiAgl8vB5/MxZMgQsymnOzo6IjQ0FCEhIaisrKRLWaaUD6GGQcRiMdRqNYRCIYKDg1m5idKFx+PBzc0Nbm5utPbVnTt3oNFo4O/vD19fX9p9Auh+eVClUpnNPdHSYPUvfMSIEXQq+mFQ9X9vb28AD2rrXl5e9H9vaHjgEcY8pgvztUzq6+u1XrtmzRqMGzdOS/+jrUyVtbW1Sct/bWWlbG1tu6wp5eTkRGdaSktLcePGDTg4OEAkEmlptRgKaiy8tLQUTk5O4PP5rMigdAdXV1dERkbSjbXXr1+Hk5MThEKhUa8pNWovEAiM8nf1RURMCCJiQrB41Tz8dS4XA8b0g6PLg/IkJdSanZ1NDykY65pSwxGurq7o06cP3N3dDfo3DQlzY0W5DVy9etWo3xfmNXV3d0doaCirsmadxdrams4IyuVyutVCV/uqO+VBU5T/OB7A6qvu5OTUbg9UWwwYMAAAUFRUhMDAQPp4YWGh1n9vi/79+9OvZaL72jNnzkAikWgFVXl5eWhpacHIkSMBAIcOHYKNjQ3kcjmMjaGNjClbAj6fT2uh3L17FwKBAP7+/nrtv6Amo5hN54MGDbK4CRMbGxuIRCIIhULU1dWBIAjcvXsXfD4f/v7+er05Un09EomEFi41diO/vnFyc8SwKdp+lba2tnTZhbqmd+7coa+pPj8vUwxWJpNZxDVtC3t7e7otgMps3rlzxyBZViojLRaL0dTUZHaZvo7i4OCA4OBgBAUFaV1TXe0r3fLgo7JXxm5UN7REhDlhkZIKb7/9Nj7++GP6+LPPPovCwkItSQWZTAalUqm1ixwxYgTs7Oy0SolfffUV3n//fRQWFkIgELT5d4cOHYqbN2+itLSUPlZVVYXa2lqEhBjedLUtTSljWsZQApilpaV60deRyWStnNHNeWfaFZi7czc3NwiFwm7ZjVB9PdRuvz23eUtG12aou5kW6v2kUilcXFx6pG0R1YNXUlICe3t7Wpqhq9eAyoRLJBKjZsLZBHPalumt1xntqxs3biAkJMRoA0YajQb29vZmUYrtBj1Ppwp4IP65Zs0aXL58GcHBwTh+/DgmTZrUSvwzIiIC1dXVKCoqogMASvzz4MGDmDZtGgiCwLBhw7Bw4cI2xT8pRowYgevXr6O8/H8msbW1tSgvL0d4eLhBPicVRKnVavpHxfyfKWAqQQOgG9s7ckOkxCSlUil4PB4tosfmySNjoDsxJhAIOqxjRGX6JBIJlEolrYFkabv9zqIrgunv7w9/f/8OZVqo1xIEgcbGRoNkvswVpoaZj48PBAJBh/t6mpqaQBAEqqurTdqzyTZ0p5r5fL7W5qo9a5zs7Gz069fPaH1VXFDFOMnSgipA26bG2toaH330USubmrFjx6KiogLZ2dlaP97ffvsNH3zwAVpaWqBQKLBw4UK8++67bX5ZPv30U/zwww/Iz8+HTCZDdHQ0Bg4ciHXr1qGxsRHFxcXo16+fXj+buVjGNDU1QSwWo6amBn5+fhAIBK0eWlSKXyqVora21mBikpZCRxW3maa6PTXT11GY2SsnJ6d2BWKZgpLG7HszR9raILVls0N5RRIEYdY6bsaAqb/H9HJk3lOp8mB9fT1u3bqFYcOGaWljGXp9Dg4Olv576LlBlbHRaDQYNGgQzp07Rx9rbm5Gfn4+3avV3fc3V8uYttSNHR0d6ZIBNbbPJlkBtqPrDScUCuHl5YWqqipIJBJoNBraL84cviNsQDd7RfUJUaP79fX1Jp3QNFdkMhkkEgltWi4QCGBrawuCIGjHAYFAoFc7HkuH0r4qKSmBg4MDXcYuLy8HQRB02ZRqbWGWBg11j+WCKsZJXFDVfUiSxMCBA3H27Fn6S6VUKvH3339j4MCBXXrPtqb3qGDKHHdyGo0GxcXFKC4uhkqlgo+PD8LCwlgtgGkOVFVVIT8/H42NjXB1dUVISMhDp1w5Hg21IaqoqKC1xAICAszyd8cW1Go17t+/D4IgoFKp0Lt3b4SFhXElvm5AlfcLCgrQ1NQENzc3hIaGolevXlrnGNoah/obXFD1/0/igir98Pjjj2sFVSRJ4urVq4iJienU+xh6es/Y6DadUzt9qozl7e0NoVDIlfw6gW55hWoOrqiogEQigbW1NV1KsfCbnF6hdMNqa2vh5+cHf39/tLS0gCAIrewVl6nqOMxmfldXVwiFQjg4ONBiqK6urhAIBD2uwb87UBpoYrEYCoUCIpGIzlRLpVItD0lm/6Ruc7u+rHGo9+wBG2QuqDImAwcOxKlTp7TKLVeuXOlQUNWe0nlXNaVMDfOhD7Rvd0HZYhAEAWtra/rmwN1c26axsRESiQTV1dUPbQRubGwEQRB0Pxufz+cyAu1ATZtJpVLY2dlBKBS2WYqmythUyUUoFBrFnNtcaWhogFgsRn19Pfz9/cHn81s181PBgUQiQVNTU6cGBnoi1HdQIpHA1dWVNorWRS6Xo6SkhA5amdpXQPvN7UDXsldcUKVzEhdU6YfRo0dj9+7dWhINjwqq1Gq1xZT3SJKkp39qa2s7Pf3DNENt7ybcE2E+9ClvMy8vrw59R1QqFf1aLhDQhhl4+vr6gs/nd+ihwFT05/qstKE2UwRBdNqCqS17JK7P8gHMycj2hn7agtJPk0qlaGhoaKV9RZ3T3ewVF1TpnMQFVfphypQp+PLLLyESiehjbQVVupYxxtaU0jfMpkldw9CuwCwXuLm5QSQS9cjJtfr6ejrI7MxDvy2oQIAqY/VUGQDqoa+vEqlu0NpTA4Hm5mYQBIHKykr4+PjQJb6uoLs5MwfzcUNA9UuJxWKQJAmRSNRheZq2oLSvSkpKaJ9U3YnMrgZY1LOsB2TDuaDKmMybNw/JycmIioqij129ehWDBj1QemaW96iMlLmW93RVudsa79XX3xCLxVAqlRAKhfD19TXL69VRmEKKhnpIt9XjYs42Kh2BudM31EOaClrr6+vpINiSHzLUQ58gCNqHry3ZhO6ga5jelgimpaFUKiGVSlFSUgJ3d3eIRCK9C3h2VfsKaLs8SJIkrKysekK2lguqjEl8fDyef/55DB8+nD52/fp1hIeH05575t50ztQ/8vDwoH+Mht6Z6zrSd2cnzDbaG+U39A1K1/BXIBDAz8/PYiQYqH49iURiVA0kZvbK3t6+3R4tc4XpntCrVy8IhUKjqHYzAwEvLy/w+XyjqYUbA0rXsL6+3miZZI1GQ2+OH6Z99ajslUajgY2NTU/IfHNBlTH517/+haFDh2LChAl047lYLEZ1dTWEQiH8/f3NMpjqaNO5MdBoNCgrKwNBELCzs4NIJDLbHiE2mRkzLWyM+aA0BExdpM729ekbqveKmiY01+wVU0W+qamJDsBNocxPabRJJBKoVKpOOQywDab4qZWVlUkHdXS1r6g2jo5Y45AkyQVVzJO4oEo/vPnmm/Dz88PixYvprJSVlRUUCgUIgkBFRQV69+4NoVBoFjdWSumcspzg8/lwcnIy9bJoKLNVqkeIz+ez3n6FmR2iyqZs6m3SLelQDyy2bwaoh5NEIqHFUNlUJjLX7JVaraZLxY6OjrSgJFvWLZfLaWkGc/Kz1PVKFYlErLu3Uvd+b29v8Pl8LXFWZnBFJQ8oY2gLhwuqjMmGDRuQkZGB4OBgJCYmYsSIEVo3dao/gCAIODo6IiAggHW9LFS/TWlpqV7MUY2BUqmkb1CG6kHoLlQmqKysDG5ubmZx82eWXNmqJcZco7koc5tD9kpXkqOj02amoq0eTzZtVijq6uogFovpbJ+/vz+rM2zMzYparYaVlRWCg4PRq1cvaDQanDt3DmlpaaipqcGXX36p1fpioXBBlbEhSRJ//PEH1q1bh/z8fMTGxmL27NlaDyNqzFUsFqOlpcXkDdi6NyRK9JDNN9G2YGZZNBqNybMVJEnStjEtLS3g8/kmK5l0h7Z6k7ozhaSP9VDlH41GQ4scsiUr1VGoaSxKH8vUGxjdUpS5iscyy1gP83I0FrotCwEBAWbpGSmXy7F79258++238Pf3R1lZGWJiYvDaa69hyJAhZvd5uggXVJkSiUSCtLQ0HDp0CJMnT0ZcXBz4fL7WOXK53GSlQWbTuTmlzjuCTCYDQRCoqqoy6XW1NDNj5hSdr68vBAKB0a6rrpm0QCBgXUayqzCV3Lsrn9FZmNfV29sbAoGAVaWorsLUE9OHLElnYd7bLWG4RiwWIzMzE7/99htGjhyJ+vp63L59G7Nnz8bChQshFApNvURjwAVVbEAul2Pv3r3IyMiAQCBAYmIihg0b1qo0WFpaCoIgaNNhQ5QGqayDVCrV2uWzOQXdHajrKpFIaJNRQ+wSmdkTpkWEpV/XR6mQdxcq+yiRSKBUKs26KbkjMK+rra0tBAKBQbJFVHaaIAgoFAqLv67MrKCNjQ19XfWd3WRWIeRyOYRCIfz8/Mwui0qh0Whw4cIFpKeno7y8HImJiZgzZw5dxWhsbMSBAwdw8OBB/Pjjj2ZX3egCXFDFJjQaDS5evIhvv/0WYrEYixcvxqxZs1qp2xqiNEiJ6bG16dzQtDW9pI9+Buakmbn09Ogbpj6TvpTwW1paIJFIUFZWZvbTiF2F+ZvVV5aFqYHk5uYGoVDYps2JJdPY2AipVIqqqqo2m7C7AtXQL5FIDLopNhbNzc3Yv38/tmzZgvDwcCxfvhzDhg2ziCpGN+GCKrYiFouxYcMG/Pzzz5g6dSqWLl0KPz8/rXPkcjnEYjEqKyu7VMJiCkna29u3OSLbE9GdvBEKhZ26qTJ7jABAIBDoXfTQHKGGHEpKSuDs7EyLinb0RqybPaF60Cw1e9JRqAEXiUTS5eyV7qQsG5u4jQ2zCburWfvm5maIxWJUVVUZvRxuCCQSCTIzM3H06FHMnDkTCQkJrVpWejhcUMV2mpubsXv3bmRmZiIwMBCvvvpqq6a/zpQGOYPSjkOV7MRicYcasHXNjHtatq+jUNlWSjbiUQ36VJBLTUb2xOxJR2FO5T1KGZ4ZjJm7ppuh0RU1pvpL24IK/ouLi6FWq2n7GHPdVGk0Gly6dAlpaWmQSqVISEjAiy++aNbBoQHhgipzgRpPTUlJQUlJCZYsWYLnnntO64tNPayKi4uhUCi0SoPmqtfCFpqamiAWi1uNkDMfTIbsxbBUFAoFLSrq7u4OoVAIV1fXVmru5joZaSp0v5dMk23dIY2e6JvXVaiJXalUqqUwbmtrC5VKBalUajGepHK5HAcOHMCWLVsQGBiI5ORkjBgxgntmPBwuqDJHioqKsGHDBvz3v//FjBkzEBsb26o0SKWdy8rKwOPx6GZhS242NQaUSGNxcTEtcEcJi3IPpq5DPayKi4vR1NQEAOjVqxdEIhEX/HcTKntVUVFBm9oGBASYdfaEDVCOBwRBAAAtKisQCMy6dFpSUoKNGzfil19+wbRp0/Dqq6/2lMk9fcAFVeaMTCbDd999h40bNyIsLAyJiYkYNGgQrly5ggsXLmD48OHw8vKCjY0NKioq4OzsjICAAK500kV0Va/d3d1RV1enNTDABaydh1kOlMlk8PHxgVqtppv7hUIhV0btIkx7IQ8PDzg4OKCqqgrW1tZcVrUbkCRJa3YBgKenJxobG9HY2GiWZtkkSSIrKwtpaWm4f/8+4uPjMW/ePG6j2Hm4oMoS0Gg0OHLkCD744ANUVFRAKBQiISEBc+bMoW+YVDlFLBZDoVBAJBJxzdMdoC0zY39/f60bZktLCwiCQHl5Oby8vCASiVinLM5GHtW4zmwUBmA0w2Nzp62eNd1JVt3+P1P6H5oTlDtDSUkJnUllDrFQG6+SkhJ6aIDNwz8tLS344YcfsGnTJgiFQixfvhxPPvkka9drBnBBlblz7tw5ZGZm4tatW5g7dy5GjRqF/fv349ixY5g5cyZiY2Ph4+Oj9Zrm5mYQBIHKykr4+vpCKBRyjeo6MB/4HVVdZpP5KVvRDVI7KrHQ1NQEiUTC9QE9BJVKRfvwdXS6kjJDl0gkXPbqITQ0NKC4uBgNDQ203Mqj+vsaGhoglUpZObhSWlqKzZs346effsKUKVOQlJSEgIAAUy/LEuCCKnNny5YtiIyMxPDhw7Vunk1NTdixYwc2bdqEqKgoJCQk4LHHHms1NcjUTunppUHmZKRMJuuWP1hjYyPEYjHq6ur0ps1kzjAf+E5OThAKhV0SWdWVD6AasHty4Ep912pra+nvWlc2SUw1fC579T9pFIIgYGNjA5FI1CUBW7VarZVx5fP56N27t9FbBUiSRHZ2NtLS0pCfn4+lS5di/vz5rAn0LAQuqLJ0NBoNTpw4gZSUFNTV1SE+Ph7PPvus1gO+p5cGmWbGrq6uEAgEndJPehhUxksqlcLV1ZVuvO4pMIU/KXNgfWVFKeuWuro6vb8322E+8K2trfWaFaWyV1KplJYS6UnZK6awrL6NwpkG38ayqFIoFDh06BA2btyI3r1747XXXsPo0aN7zL+nkeGCqp4CSZLIz8/H+vXrceLECcyZMwevvPIKvLy8tM7rKaVBY5sZ6wpXmtok25AwG/odHBwgEAgMYlHD/Hv6yIKZA8yHsr4f+G3BLLtacvaKKkuLxWI0NzdDIBAYVFiWsleSSqX0/cfX11ev2ezy8nJs3boV33//PSZOnIikpCQEBQXp7f052oQLqnoi9fX12L59O7Zs2YLHH38cCQkJiI6Obrc06OLiYjEZFqY57KNE/AwF88FoCUaqFEzTXypzZMwJKF2rIapB29y1raiAXCwWQ6lUmiQgZ7oE8Hg8CAQCi5BkoMrJBEHAwcEBAQEBestSd5SWlhaUlJSgtLQULi4uEAgEXd4UkCSJP//8E+np6cjNzcWSJUuwYMGCHmeNZUK4oKono9FocOzYMaSkpKC5uRlxcXGYMmWK1kOIKg0WFxdDpVKZpTow08xYpVKxxhxWo9HQN3RDmg4bErb2OFEaQubsYafrw8cWMUlm9srb2xsCgcDs+nJ0Lb7YMPhATW1KJBI0Nja2OWncHkqlEj///DMyMzPh4eGB5ORkjB8/3mT36fLycrzxxhu4evUqAKB///5Yu3Zth/SulEolPv30Uxw4cAA2NjZwc3PD6tWr8eSTTxp62fqAC6o4HvyY7969i3Xr1uHMmTN48cUXsXDhQnh6emqdx/SxYqqKsxWmmbGnpycEAgFrTXd1vdf4fD6rMyxMOxR9mfkaAt2yK1sC6odBZdvY7sNnbtkr3d5RNpfgdX1ZKWkG3c1KZWUltm7dioMHD+Lpp59GUlISQkJCTLqpUSgUiImJQXh4OPbs2QMej4fY2FhcvHgR169ff+Q9OCEhASdPnsSFCxfg4+ODTZs2Yfny5fjjjz/w+OOPG+lTdBkuqOLQpq6uDlu3bsW2bdswZMgQJCQkIDIyss3SIEEQcHV1RUBAACt20ID5mxlTOjiUbYtIJGJNIKg7fk81MJs6K9VRmFZNXTHKNiSUf6dEIoGDgwOEQqFZ+fAxNzBsy16ZeytDQ0MDJBIJzp49i9zcXMTHx0OhUCA9PR05OTlYvHgxFi5cyJp78MaNGxEXF4eCggIEBwcDeCDhIBAIsGrVKrz99tvtvvbOnTuIjIzEpk2bEBsbSx+PiopCYGAgjhw5YvD1dxMuqOJoG7VajaNHjyI1NRVKpRIJCQmYOHEia0uDzHFwtt3UuwLVSC8Wi01uymppo/ZUOZggCNpahA3X1tfXFwKBwKyUuHVharUBpt3UyGQyiMViVFdXm0Vm/VHU1tZi5cqV+O2331BTU4OlS5fiww8/ZN1vceLEicjNzcX9+/e1jvfv3x/Ozs64dOlSu69dtWoV3nvvPdy7d0+rqX758uVIT09HTU0NazaZ7cAFVRwPhyRJ3L59G6mpqbhw4QLmzZuHBQsWwMPDQ+s8U5QGqX4eqVRq0cKFuga4QqHQ4A9e3dKOpY7VMzMsxgoYmUEdYLlK8cxr6+XlBYFAYPDMIHMzotFoIBKJzP7aVlVVYfv27di3bx/GjRuHZcuWgcfjYevWrfjll1/w1FNP4d///je8vb1NvVQAD3S4wsPDcfr0aa3j06ZNw4kTJ2hvz7aYN28e9u3bB4VCoVWi//rrr/Hmm2/i8uXLGDp0qKGWrg86FFSxt7GDw+DweDxERkZiw4YNqK2txebNmzFp0iQMGzYM8fHx6Nu3L3g8HhwdHREeHk6n2rOzsw1WGmROmfXu3RvR0dGs7OfRF05OTvS1LS0txY0bN+Dg4ACRSKR36QDdMk5kZKRZZ/wehZOTE8LCwhASEoKysjLcvHnTYKVNpv6Rp6cnIiIiWFN+NATMa1tRUYE7d+6AJEmDZK+YTf3u7u4ICwtje0bjoZAkiVu3biE9PR3Z2dlYtGgRLly4oFW2/Pzzz/Hpp5/i6NGjrMpuVlZWYvDgwa2Ou7m5QSaTobm5ud2NS2VlJZycnFr1PFKfu6qqSv8LNgFcUMUBAPDw8MCbb76J119/Hb/88gveffdd8Hg8xMfH45lnnoG1tTX9QBIIBKiurkZBQYFeSoO6ZsYCgYAO6HoKVDaOz+fTje13796lNXW62tjO9NijymEhISFmvbvvLFZWVrSCPtWEn5+f321pCKpEThAE5HI5BAIBhg4dyupGeX1jZWUFX19f+Pr6QiaTQSqVorCwUC/ZK6ZzAZ/Px+DBg1nZ1N9RVCoVjh49ioyMDNjZ2WH58uXIzMxs9/tiY2ODqVOnGnmVXaOTFS+9vZaNcEEVhxbW1taYPn06pk2bhps3b2LdunX47LPPMH/+fLz00ku0zouXlxe8vLzo3oZ79+51qjRIkiStyN3Q0ABfX1889thjrNqVmQIejwd3d3e4u7tDoVBAIpHgypUrnW6+ZupleXl5WXzmpKO4uLigb9++dNaVygx2pnmcEiSVSCRwdXVFnz594O7uboTVsxsnJyeEhoYiODgYlZWVdPaKEr/sSCDflsemuW+wampqsGPHDuzZswejRo3Chg0bEBERYZafydvbGw0NDa2ONzQ0wMnJ6aHldW9vb8hkMqjVaq1Akno/XbFqc4XrqTJjbt++jf79+2PkyJGtatz6pLq6Gps2bcJ3332HkSNHIj4+HmFhYVo3Bd0HTXulwa6YGfd0SJLUahCmmq91rxlTs0utVtOlmJ6UOeksusH9w2QOGhoaIBaLDWLLY6kwg/uHbQyoDURpaSk8PT0hEonMujRN9aump6cjKysLL7/8MmJjY1v1q5obEydOxO3bt1FUVKR1vDON6oWFhQgMDKSPU43q1dXVrJlybAeuUZ3NrF27FpmZmbCxsYGNjQ1WrFiBott5FAAAIABJREFUGTNmdOo9pk6dil9++QVjxowxaFBFoVKpcPjwYaxfvx62trZITEzEU089pbUDpbSDiouL6ck2b29v1NXVQSKRoKmpiS7FcA+kzsOcKKMygxqNhlaSZ7tmF5vR9XIUCoVwdXWlRVxtbW27bLzb02E28Gs0Gjrgb2pqQnFxMZqamiAQCODv72/WmwC1Wo3ffvsNGRkZ4PF4WLZsGaZMmWLWn4lJZmYm4uPjtQKjsrIyCAQCrFy5UktSoaysTKsthJJU2LJlC1555RX6vOjoaPTp04eTVODoOqtWrcJXX32Fy5cvIyQkBL///jsmT56Mw4cPY9KkSR16j5MnT+KNN95ATU0NgoODjRJUUZAkiZycHKSmpuLatWtYsGAB5s+f32qXUVtbi7y8PNTX18PZ2RmhoaGsUOS2BFQqFfLz81FSUgIrKysIhUL06dOH1aKi5gJJkigtLcW9e/cgl8vRq1cvrnyqR5qampCXl4eqqirY29sjKCgIfD7frO8LdXV12LlzJ3bv3o3hw4dj+fLl6Nevn1l/prZQKBQYMmQIIiMjsWvXLlhZWWHx4sU4f/68lvjnhQsXMHr0aMTFxSEtLY1+fUJCAk6dOoULFy7A29sbW7ZsQVJSEif+ydF1amtrIRAI8Oabb+LTTz+lj0+ZMgVFRUW4efPmI99Do9Fg8ODB+OKLLxAXF4fAwECjBlVMKisrsXHjRuzevRtjxozBkiVL8Pfff2Pbtm1ITk5GREQEfHx86GZpNllymCPMKbNevXpBIBBApVJBLBbTzdKGNIu1ZHT1w4RCIdzd3VFaWorS0lL06tULQqGQywJ2EaY3p4+PD/h8PhobG822XE25VWRkZODixYtYsGABFi9e3MqtwtIoKyujbWp4PB6io6Oxdu1aiEQi+pwbN25g3LhxeP3117FixQr6uFKpxCeffIIDBw7A1tYWrq6uWL16NUaNGmWKj9JZuKCKjezduxdz587FyZMnMW7cOPr4mjVr8NZbbyE3Nxd9+/Z96Hts3boV+/btw6+//orAwECTBlUURUVFePfdd/Hrr78iIiICc+fOxZIlS9otDVI6M231BnFow7RjaWlpaTdwamlpAUEQKC8vh5eXF4RCoVn3pRgLhUJBj+x7eHi0qXRPkiRdvqICALbaoLAJyvOOCvop+xjd725zczOkUqlZlLDVajWOHz+O9PR0qFQqLFu2DFOnTuWyxJYPp1PFRnJycgBAS1GW+f9zcnIeGlTJZDJ89NFHrKk/Z2dn4+OPP0ZtbS0WLVqETZs24e7du0hJScHo0aPx8ssvY+7cuXBxcWlzarCgoAD+/v4QCARmPS5tCKiHfWlpKdzc3BAUFPRQCw57e3uEhIQgKCgIFRUVyM3NpSeouLKrNiRJ0j58TU1N4PP5iImJaffByOPx4OPjAx8fH7r5+vLly/D29oZQKGSd8rWpYVrzODk5PXJC0tHRkf7uVlVVIS8vj1UG6cADD89du3bhu+++Q0xMDL788kv079+f+11xaMEFVUamsrISAFqVvzoqgPbll1/imWeeQf/+/Q2zwE7i6uqKzz//HNHR0fSxQYMGYdu2bSgvL0dmZiaeeuopjB8/ni5V8ng8ODk5ISIigp4avHbtGtzc3BAQEMDaHaox0NU+8vf3x5AhQzq1C2ZqB1FaP5QuU08PXikpBalUCkdHRwiFwk6LrDo6OtLSAeXl5bh16xatTN/TM69M94WuyKRYWVnRwStVLszKyjJZ6ZUkSRQUFCAjIwPnzp3DvHnzcPz4cYsZ/+fQP1xQ1U2OHz+OCRMmPPK8R03odaQMW1JSgg0bNuDPP//szBINSlhYWLv/rXfv3vjggw/wzjvv4Pvvv0diYiI8PDyQmJiIUaNGwcrKCjY2NhCJRBAKhaiurkZeXl6PLA0qFApaaoLSPnJzc+v253dxcUFkZCRUKhWkUimuXbsGV1dXszOe7S66U5P60ESzsrKCn58f/Pz86PcvKCiwCJ+/zkCVp8ViMS0GHBoa2u3SqIODA0JCQmjdq/z8fCiVSqNkrzQaDU6ePIm0tDTI5XIkJSXh22+/5Up8HI+E+4Z0kxEjRiA3N/eR51G9LZSHU0NDg9ZupyMCaB988AESExPh7+/fnSUbHVtbW7z44ot44YUXcPXqVaSkpODDDz/EK6+8ghdeeAHOzs5apUHmA8qSS4NUvwlTasJQqtE2NjYICAiASCRCTU0NCgsLoVAo6B4XS+wNYgpJUpmk8PBwgwTqzs7OiIiIoD0rc3JyYGdnB6FQaLESDExtOjc3N4SEhBhkAIVZetXNXgkEAr3+zcbGRuzevRs7duzA448/jpUrV+Kxxx6zyH8/DsPANaobGapR/dSpUxg7dix9vCON6hEREbC1tdXaLd26dQt2dnYIDQ2FjY0Nrl69auiPoBdKS0uRkZGBAwcO4JlnnkFcXBwCAgK0ztG9aVtKaZApgOrs7ExPmRn7xi2Xy0EQBCoqKoxmOGwMmFNmpmzYp0RF6+vr4e/vDz6fbxGbg6amJojFYtTW1pqspEwNDkgkkm5nr0iSRGFhITIzM3Hq1Cm8+OKLiIuLg4+PjwFWzmHGcNN/bISSVHj77bfx8ccf08efffZZFBYWakkqyGQyKJXKhzZ4smX6r6soFAocOHAAaWlp8PHxQUJCAkaOHNlqalDXnd7cSoO6yt1seshqNBqzF7iketHEYjEUCgWrGpyVSiXtbWnKILo7UEGMWCwGAFrUlw2fQS6XQyqVasmMdCR7pdFocObMGaSlpaG+vh5JSUmYOXOmSX+T5eXltFwB8ECpfO3atRAKhQ99XUlJCdLT03H06FEolUo0NzejX79++OSTT1jTf2sBcEEVW1m1ahXWrFmDy5cvIzg4GMePH8ekSZNaiX9GRESguroaRUVF7QoPmntQRUGSJC5fvozU1FTcvXsXsbGxmDNnTqvMCbVLrqmpMYvSIJVtYzZGs9mWh2nF8jDLFragq4LO5l4xqtxLEASam5vB5/O7ZZZtDJRKJSQSCUpKStCrVy+IRCLWiqBSmy+JRAKFQkFfX93AuqmpCXv37sX27dsRFRWF5ORkDBo0yOS/SYVCgZiYGISHh2PPnj3g8XiIjY3FxYsXtYQ12yIhIQEnT57EiRMnIBKJIJfLsWDBAhw5cgSXL1/mAiv9wAVVbIZpU2NtbY2PPvqolU3N2LFjUVFRgezs7FZNrwkJCbh06ZJW+W/atGlagqLmilQqRXp6On744QdMmjQJcXFxEAgEWudQjddSqRTu7u5taguZEmbpxxx94pRKJa3dxPbry6asX0dhymW4u7vTljhsgRlcU/YxbA7+dGlpaYFUKsWNGzfw448/IiEhAQKBABkZGfj9998xZ84cxMfHw9fX19RLpdm4cSPi4uJQUFCA4OBgAA/aJAQCAVatWqVlAaNLQkIChgwZgiVLltDHCgoKEBoaimXLliE1NdXg6+8BcEEVh3nT0tKCvXv3Ij09HXw+H4mJiRg+fHibpcHi4mKQJImAgACTlSVUKhVd5rG3t7eIJuW2VMZ79+5tksZ2qglcIpFYTBM4dX0JgoBSqaSvrynKllRjv1gspqdyzf36KpVKpKSk4ODBgyguLsbs2bOxatUqVqqeT5w4Ebm5ubh//77W8Y6YFatUKlhZWWn9Lpubm+Hk5IT58+fju+++M9i6exBcUMVhGZAkiYsXLyIlJQVFRUWIjY3F7Nmz4eDgoHUeszTI5/ONlr1oaGgAQRB04y6fz7fIcfrm5mYQBIHKykr07t0bQqHQKJ9TJpNBIpHQf1cgELT6t7cETNVgz7Q+8vLygkgkMvuBBZlMhv3792Pr1q2IiIjA8uXLIRKJsH37duzbtw9PPPEE/vWvf7USYTYlfD4f4eHhrVo5pk2bhhMnTqCpqalT73fjxg08/vjj2Lhxo1YGi6PLcEEVh+VBEAQ2bNiAw4cP49lnn8XSpUtbSUwYozTIzJrY2tpCKBT2GNVy6rMTBAEHBweIRKJOC2g+CmZjNEmStLCmJUo/6EJljCQSCQBAIBAY5LPX1dWhuLgYMpkMQqHQIjwjCYJAZmYmfv31V8yaNQsJCQmt7g8ajQYnTpxAUFAQQkNDTbTS1tjZ2eEf//gHfv75Z63jL730Enbt2gWZTNapYDcpKQlnzpzBtWvXLHKTZwK4oIrDcpHL5di9ezcyMjLQp08fJCYmYujQoVoPdmZpENDPxFJjYyMIgkBNTY1FZ006Sl1dHcRiMW310t3eG4VCAYlEwhkY/3+ampogkUhQVVWll++bbkAcEBBgdpOIumg0Gvzxxx9IT09HSUkJEhMTMWfOHLMLJNoLqubPn4/du3d3Kqg6efIk5syZg7Nnz6Jfv36GWG5PhAuqOCwfjUaD8+fPIzU1FQRBYMmSJZg5c2arG2p3SoNqtRrl5eWQSCSwtrams1I9IWvSUXSDoc5MiVE+fGKxGDKZjDaMNqfGaENDfQcp2YvOZkaZmmSWshlobm7GgQMHsGXLFgQHB2P58uUYMWKE2QaI+ir/3bhxA1OmTMH+/fsxYsQIA6y0x8IFVRw9i+LiYqxfvx5HjhzB9OnTsXjxYvj5+WmdwxzBf1RpkJklsCRxTENCkiStYk6SJJ0dbCsApRr7KdNdkUhk9lkTY0D18NXV1T10slRXu8tS1POlUikyMzPx3//+FzNmzEBiYmKr6WBzZOLEibh9+zaKioq0jnekUZ0iJycH06dPx86dO/Hkk08aaKU9Fi6o4ugeTNkHGxsbrFixopXsgy5KpRIHDx7E1q1bUVVVBblcDkdHRyxfvhwLFy40ygNTJpNh165dyMzMRGhoKBITEzF48OBWpcG2xAxJkqSzUpS1SXtBAcfD0fXbEwgEsLOz0yqhMo9zdA7doJQyh9ZoNLQTgYuLC6u1uzqKRqNBVlYW0tLSIBaLER8fj7lz55p9to1JZmYm4uPjUVhYiMDAQABAWVkZBAIBVq5cqSWpUFZW1qrPrq2AqqSkBB9//DEyMjKM+lksFC6o4ug6q1atwldffYXLly8jJCQEv//+OyZPntxKoFSXS5cuYcSIEdi1axfmzp0LADh48CBmz56NDz74AJ999pmxPgI0Gg3Onj2LlJQUlJWVYenSpZgxY0arB3hTUxMKCwtRVVUFAPDz84NIJDKJtYklolarIZVKcf/+fajVajg6OiIoKIg1itzmDlU+LSoqQl1dHXg8HgQCAUQikdkHq3K5HN9//z02b94MkUiE5OTkVo4LloJCocCQIUMQGRmJXbt2wcrKCosXL8b58+e1xD8vXLiA0aNHIy4uDmlpaQCAv/76C+PHj8fzzz+PkSNH0u9ZWVmJQ4cOmb04NEvggiqOrkFZ6bz55ptaYqJTpkxBUVGRlpWOLpcuXcJbb72F8+fPax0fNWoUbty4Qd/0jU1hYSHWr19PTwUtWrQI7u7u2Lt3L0iSRP/+/eHn50eXB9muHm0uMHt5vLy84ObmhvLycsjlcrp3ytwnzkyJroWTv78/FAoFSktL4ebmBqFQaJZZqtLSUmzatAmHDx/G1KlT8eqrr0IkEpl6WQanrKyMtqnh8XiIjo7G2rVrtT77jRs3MG7cOLz++utYsWIFAGDmzJn48ccf23zPMWPGcEGVfuCCKo6uQZk+nzx5EuPGjaOPd8T0mSRJqFSqVk3gL7zwAg4ePIjm5maT7p6bmpqwdu1arFu3DtbW1hg+fDjeeecdREVF0eew2efMHCBJEtXV1SAIgu7l0RW01NVGMpXpsbnyqN5A3X8DNnkhtgdJkrh69SrS0tJw7949xMXFYf78+VwfIwdb6NADgBuv4WhFTk4OALQSxqP+f05OTrtBFY/Ha3Oq7u7du3jiiSdMFlCp1Wr897//RUZGBpqamvDll1/C09MTGRkZ+Oc//4n4+HhMnToVtra24PF48PHxgY+PDxobGyEWi1FQUEBPDXJTaW3DtLZxc3NDUFBQu1kSe3t7BAcHIzAwEBUVFcjNzYWVlRXdw8YFsG1DfR/r6urg7++PwYMHt/l74/F48PLygpeXF204nJWVBU9PTwiFQlZlYBUKBX744Qds2rQJ/v7+WL58OUaPHm2RJT4Oy4d7OnC0orKyEgBaeZFRD0iq96ijZGVlIScnB6dOndLPAruAXC7HmTNnsHr1ai3dlkmTJuHevXtYt24dvvjiCzz//PNYtGgRvL29AQAuLi6IjIykA4YrV65wpUEd6uvrIRaL0dDQAD6f3+6Dvi2srKzg6+sLX19frQCWamA3Jz8/Q6HRaOjMqZWVFUQiEfr27dvhwNPBwYEOYCsrK3Hnzh1WCKqWlZVh69attMfn7t276QZtDg5zhQuqegDHjx/HhAkTHnneo2rvnSwVA3iws168eDH+7//+D6NHj+706/WFs7Mzvvrqq1bHeTweQkJC8M0336ChoQE7duzAjBkzMGDAACQkJKB///509q1Pnz4ICAigH0wAEBAQ0GOU1JkwRSTt7e0hEonQr1+/bl0HKoBVqVQoKSnBtWvX4OrqahHTa12Bqf3l6emJyMjIbpVIrays0Lt3b/Tu3Zu2/rl3755R5UJIksT169eRlpaGO3fuYOnSpcjKyuJKvxwWA9dT1QOQyWS0qvjDcHJyQkBAAN5//32sXLlSa7QXAH744QfMmjUL+/btw5w5cx75fgqFAlOnTkV0dDTWrFnTnY9gVDQaDX7//XekpKSgqakJcXFxePbZZ1uV/ZilmJ5SGpTJZCAIQm8K3w/DUnWWHgWV+WtsbDS4EKpGo6HtlihhW0OUXxUKBQ4fPoyNGzfCy8sLycnJGDt2rMX/W3JYFFyjOkfXoBrVT506hbFjx9LHO9KoTqFQKDBz5kyEhYXhm2++MfCKDQNJksjLy8O6detw6tQpvPDCC3j55Zfh5eWldR5VGpRKpRZZGqTKT5SgpynKRswpQm9vbwiFQotqYKaCG4IgYGdnB5FIhF69ehk1A6qrH6YPY/CKigps3boV33//PSZMmICkpCSEhIToacWm4YMPPsB//vMfbN26Fa+88oqpl8NhPLigiqNrUJIKb7/9Nj7++GP6+LPPPovCwkItSQWZTAalUgl3d3f6mEKhwKxZsxAaGqoVUMXHx+Pjjz9uZXBqDtTX12Pbtm3YunUrBg0ahISEhFblLkpNXCwWg8fjmX1pkDmhx5YGZ2bwYWtrC5FIBE9PT7O+xgRBoLy8HD4+PhAKhSYXtFSr1fRkoYODA4RCYacCPJIkkZOTg7S0NNy8eROLFy/GwoULTe7hWF5eTssVAA+UyteuXQuhUNjh9yAIAuHh4WhubuaCqp4HF1RxdJ1Vq1ZhzZo1uHz5MoKDg3H8+HFMmjSplfhnREQEqqurUVRUBGdnZygUCjz//PMoKCjAe++9p/We//nPf3D06FGzbkZVq9X47bffkJKSAoVCgfj4eEyaNMliSoMkSaK2thZisZj1WlINDQ0Qi8Wor6+nzZzNobGdEussLi6GXC6ny5psvMZ1dXUgCIIeQnjYNVYqlfjll1+QmZkJNzc3JCcn46mnnmJFiU+hUCAmJgbh4eHYs2cPeDweYmNjcfHiRS1hzUexcOFCVFdX48iRI1xQ1fPggiqO7sG0qbG2tsZHH33UyqZm7NixqKioQHZ2Nuzt7XH48GFMnz693ffU7dMyV0iSxJ07d5Camopz585h7ty5WLhwIXr16qV1nlKphEQiYb2gKNUcLpVK4ezsTDeHm0MGSFfKQSQStZpcZQNqtZq2lXF0dERAQIBZXWPq++Hi4oL6+nrarLeqqgrbtm3D/v37MX78eCxbtgyhoaGs+lwbN25EXFwcCgoKEBwcDOCBwKhAIMCqVau0LGDaIzs7G7Nnz8aGDRswceJELqjqeXBBFQeHMaitrcXWrVuxfft2xMTEID4+HpGRke2WBqmxeDaUBilz3traWvj7+7drzmsOMNXF1Wo1LTpq6kxJc3MzCIJAZWUlfH19IRAIut2rZCpIkoREIkFSUhIIggCfz0dFRQWWLl2Kl19+mbVTmhMnTkRubi7u37+vdbwzZsVjx45FQkIC/Pz8MG7cOC6o6nlw4p8cHMbAw8MDb7zxBpKTk3HkyBG8//770Gg0SEhIwD/+8Q9YW1uDx+PR4+yNjY0oLi5Gfn4+BAIB/P39jVoa1J346qzuEVvh8Xjw9vaGt7c3HcgUFhYafEqxLShFc7FYDJVKBaFQiJCQEJMHeN1FrVYjOzsbarUawcHB8PHxQVVVFe7evQuxWKzlTMAmcnJyEB4e3up4UFAQTpw48cjXHzp0CM3NzXjhhRdw5swZQyyRw0LggioODj1hbW2NadOmYerUqbh16xZSU1Px2WefYf78+ViwYAHdzO/i4oJ+/frRpcErV67A09PT4CbOzc3NkEgk9ARdVFSURU3QMXF0dERYWBiCg4NRVlaGnJycLjVddxaqjCqRSODm5oaQkBBWliI7S3V1NXbs2IG9e/di9OjRSEtLQ3h4OHg8HtRqNX799Ve8++67eO655xAbG2vq5baisrISgwcPbnXczc0NMpkMzc3N7f4WlEol3nnnHWzevNnsNx4chocLqjg49AyPx0NUVBTS09NRU1ODzZs3Y+LEiXjiiScQHx9PP4xsbW0RGBiIPn36aFm1BAQE6G2ijSqJEQQBlUoFgUCA4OBgs8+YdBRra2t6UKCurg5isRh5eXl007W+MoRNTU0Qi8Woqal5qH2MOUGSJHJzc5Geno6rV6/ilVdewblz57QmfYEH13jKlCmYMmVKlwSCTUlH1puWloaoqCg8+eSTRlgRh7nDBVUcHAakV69eeOutt/D666/j559/xltvvQUbGxskJCTg6aefblUapCba8vLyulUaVCgUdPO2h4eHxWRMuoO7uzvc3d3pa9Ndy6G2jLcjIiLMPptBZZ7S09Nha2uLZcuWISMjo0PTiWz97N7e3mhoaGh1vKGhAU5OTu1mqWpra7Fy5UqcPXvW0EvksBC4RnUODiNCkiT+/vtvpKam4sqVK3jppZcwf/78Vg2+zKnBjpYGSZJspcZt7H4tc4IZFJEkCZFIBG9v70dm8ah/m9LSUnh4eLB2orOz1NbWYufOndi9ezdGjBiB5cuXtxq4MFcmTpyI27dvo6ioSOv4oxrVf/31VyxdulRL8LexsREFBQW0RtrMmTOxYsUKQy6fgx1w038clkN3hPuUSiU+/fRTHDhwADY2NnBzc8Pq1atNns6vqqrCxo0bsXv3bowaNQrx8fEICQnReojpmum2VRpkjuo7ODhAJBLBw8PDIh6GxqKpqQkEQaC6upo2c9adgtTVxTIX7bGHQUmDZGRk4NKlS1i4cCFiY2NbSYOYO5mZmYiPj9eSdCkrK4NAIMDKlSu1JBXKysoe6hhw+vRpbvqvZ8IFVRyWQXeF+xISEnDy5ElcuHABPj4+2LRpE5YvX44//vgDjz/+uJE+RfuoVCocOnQI69evh4ODAxITEzF+/PhWN3XmQ10gEMDd3R0lJSWorq42+1F9tkCpiUskEjg5OUEgEEChUIAgCNjY2Ji9gjuFWq3G77//jvT0dGg0GixbtqxNf0tLQaFQYMiQIYiMjMSuXbtgZWWFxYsX4/z581r3kAsXLmD06NGIi4tDWlpam+/FBVU9Fi6o4rAMuiPcd+fOHURGRmLTpk1aU0lRUVEIDAzEkSNHDL7+jkKSJG7cuIGUlBT8+eefWLhwIebNm6cVNGo0GpSUlKCoqAgtLS3o1asXwsPDLaL8xCZaWlpQUFCAsrIyOkMYEBDAStXzzlBfX4+dO3di165dGDZsGJYtW4bo6GizDxI7QllZGZ3t5vF4iI6Oxtq1ayESiehzbty4gXHjxuH1119vVdIrLy/HM88806r8t2nTJgwZMsTYH4fD+HBBFYdl0B3hvlWrVuG9997DvXv3EBQURB9fvnw5PZ1nak+ytqioqEBmZib27t2LcePGYerUqfjpp5/ooIsyFK6oqABBEHqfGuypUBOCMpmMtuhRqVS0B6KXlxeEQqFBpS/0DUmSyM/PR0ZGBs6fP4+XXnoJixcvbmUMzsHB8VA48U8Oy6A7wn05OTl0wKH7WpVKhVu3bmHo0KF6Xa8+8PHxwfvvv49hw4bhww8/xN69ezFw4EC89tprCAsLo0uDvr6+8PX1bTU1yOfzzT6rYiw0Gg3dk2Zvb9+qJ83a2hrBwcEIDAzUkr4QCoXw9vZmbRCr0Whw4sQJpKWlQaFQICkpCSkpKRZb4uPgYAPcr4uD9XRHuK+yshJOTk6tAgxq2q6qqkr/C9YDu3fvxtdff40BAwYgJSUFQ4YMQXZ2NlJSUrBq1Sq8/PLLePHFF+myn6urK/r16weFQgGJRIKsrCx4eXlBJBJZrMBnd5HL5SAIAhUVFejduzf69+//UNV1KysrOohtbGwEQRDIz89nnb1PQ0MDdu3ahZ07d2LQoEH44osvMGDAANYGfxwclgQXVHGYLd0RGmS7SGFYWBiOHTsGT09P+tjgwYOxfft2lJWVISMjA+PGjcOECRMQFxeHPn36AADs7OwQFBREC4revHnTohqsuwtJkqitrUVxcTEUCgWEQmGXxFBdXFzQt29fWkE9Ozsbrq6utBG1sSFJEvfu3UNmZibOnDmDuXPn4vfff4e3t7fR18LB0ZPhgioO1tNV4T7qtTKZDGq1WitbRb0fW/tKYmJi2v1vvr6+WLFiBd59910cPHiQ1tFJTEzEk08+CSsrK62sSkNDQyuvwZ5WGmRO9Tk7OyMwMLCVMnhXoAJWoVCImpoaFBYWQqFQQCAQwNfX1+DXWaPR4PTp00hLS0NjYyOSkpLw9ddfm72aOweHucI1qnOwnq4K9wH/a1Rn6tMA/2tUr66uNnulcZIkceXKFaSmpuL27dtYtGgR5syZ06qZmioNlpaW9pjSoEwmA0EQqKqqaldpftsdAAAV0klEQVR/St8wy4re3t70UIE+aWxsxJ49e7Bjxw70798fycnJGDhwYI/PRHJwGJAO/bh6hgEYh1kxYcIEPPHEE/T/nzlzJu7fv49ff/0Vtra22L17N8rKypCbm4tZs2ZpvbasrAwajYb+/8899xx4PB5Onz6tdd6pU6fwzDPPmH1ABTywBhk6dCh27tyJw4cPo6ysDGPHjsWKFStAEAR9HlUaHDZsGNzd3XHz5k38+eefqK6uZn05tDNQSunXr19Hbm4u3N3dMWzYMAQFBRml78nBwQGhoaEYNmwYXF1d6etcVVXV7et8//59vP/++3jqqafQ0NCAo0ePYtu2bRg0aBAXUHFwsAAuU8XBOj755BN8/vnnqK+vh729PS3cV1JSgsjISJw+fbpTwn0JCQk4deoULly4AG9vb2zZsgVJSUmsEf80BC0tLdi/fz/S0tLg7++PhIQEPPHEE616h9qytTHX0qBSqURJSQmkUinc3d0hEolYI5ehq8bu7+/f4RKdRqPB+fPnsWHDBtTU1ODVV1/FrFmzWNEY3x2nA+CBLtSKFStoGQuSJDF9+nSsXr1aL+vLz89HZGQk3n//fXzyySf08cTERHz33Xc4deoUpzHF0VG4TBWHeTJy5EgoFApcv34dwIMMy5IlS1BVVYXi4mJERkaivr4eJ0+e1Hpouri4wN3dHf7+/lrvl5qaitmzZ2PkyJGIjo7Gxo0bcezYMYsNqADA3t4eCxYswIULF/Dmm29iy5YtGD9+PHbs2IHm5mb6PDc3N0RFRWHgwIFQKpXIysrC3bt3tc5hO42NjcjNzcW1a9dAkiQGDx6MyMhI1gRUwP+mMwcPHgySJHHt2jXcunWrzV5BCplMhq1bt2LcuHHYtWsXPvzwQ5w9exZz585lRUClUCgwYcIEKBQK3Lx5E7du3YKzszPGjRuHxsbGR77+4sWLmDRpEv71r38hOzsbt2/fRnJyMvbv36+3NYaGhmLJkiX45ptvUFlZCQD49NNPsWXLFvz4449cQMWhd7hMFQfraGxshIeHB7766iu8/vrrqK2tRUREBObNm4dvvvnG1MszWyQSCdLS0nDo0CFMnjwZcXFx4PP5WudoNBpUVFRALBbD1tYWIpEIvXr1Yl1piSRJep1WVlYQiUTw8vJi3TrbgyRJVFdXQywWQ6lUIj8/HzNnzoS9vT3EYjEyMzPx22+/4fnnn0dCQgL8/PxMveRWdMfpgCRJ9OvXD7GxsVrnKZVKHD9+HJMmTdLbOktLSxESEoJXX30Vffv2RVxcHPbs2YM5c+bo7W9w9Ag4RXUO82Xw4MEICwvD3r17kZSUhB9++AF37twxybi6pSGXy7Fnzx5kZGRAJBIhMTERQ4cONYvSILPZ3tPTEyKRyKzUzduirq4O//73v3Hq1Cl4enrCysoKr732GmbPns1qL8fuOB2cO3cOo0ePxq1btxAZGWnopeLf//431qxZA5VKhW+//RZJSUkG/5scFgdX/uMwX0aOHIlLly4hOzsb6enp+PLLL7mASk84ODhg0aJFuHjxIpKTk5GWloann34au3btglwup89rqzSYl5dnktJgfX09bt68ievXr8PGxgYxMTGIiIgw+4CqubkZP/30E/766y8MHz4cU6ZMgb29PQ4fPoxLly6xeoAgJydHy/qJIigoCH/99ddDX3vx4kUADwLK6dOnIyoqCgMGDMAHH3xgkO9XWFgYWlpa8MQTT3ABFYdB4TJVHKxk//79eOGFFxAVFQVPT0+cPXvW1EuyaMRiMTZs2ICff/4Z06ZNw5IlS1qVnDQaDcrLyyEWi2FnZ2fw0qCx/54xkUgkyMzMxNGjR/Hcc88hMTFRqxR75coVrF+/HoMGDUJycrIJV9o+dnZ2+Mc//oGff/5Z6/hLL72EXbt2QSaTtSslsWzZMqxfvx6BgYHYt28fhg4dipycHEyePBn9+vXDsWPH9LbOkydPYtKkSRg8eDAuXbqE69ev47HHHtPb+3P0GLhMFYf5MnLkSADA7du3sW7dOhOvxvIRiURYuXIlrly5guDgYLz44ouIjY3FlStX6GyJlZUV/Pz8EBMTg6CgIEilUmRlZYEgCKjVar2tpaWlBQUFBbh8+TIaGhoQHR2Nxx57zOwV4TUaDf744w8sWLAACxcuRHR0NK5du4bPPvusVW9bTEwMtm3bxtqA6mF0ZKNOZUQXL15Me28OGDAA77zzDn7//XecOXNGL2vJzs7GjBkzsGTJEpw+fRoBAQF4//339fLeHBxtwSmqc7ASFxcX2NnZITExEQMGDDD1cnoMjo6OWLJkCWJjY3H27FmkpKSgpKQES5YswXPPPUf3+Li5uSE6OhoKhQIEQSArK6tbQpckSaKurg5isRjNzc0QCoUYOnSoyXu49IFcLsfBgwexefNm9OnTB2+88QZGjhxp1gEi0D2nA0ofTncCd+DAgQAeZOrGjBnTrfXl5+dj0qRJeOaZZ5CamgorKyt89NFH9Hd79OjR3Xp/Do624IIqDlby6aefwtPTU0tbhsN4WFlZYezYsRg7diyKioqwYcMGjB49GjNmzEBsbCx8fX0BPCgBBQcHIzAwEOXl5fj7779hZ2eHgIAAeHh4PDJwUKvVKC0thUQigaOjI0QiEdzd3c0+4ACAkpISbNy4Eb/88gumTZuG77//vsP6TebAgAEDcPv27VbHCwsL0b9//4e+tm/fvgCgJdQLgA6idY93ltLSUjzzzDOIjIzErl276CGMhQsXYvXq1Xj33Xfpvi4ODn3Clf84WINMJsMff/yB1atX49tvv8WGDRv04s9mCsrLyzF//nxEREQgIiICzz//vJa6eXuUlJTgo48+wtChQzFw4ED07dsXM2fOfGTjryEJDAzE6tWrcfnyZQiFQsyePRtLly5FdnZ2m6XBwMBASCQSZGVlQSKRtFkabG5uRl5eHrKysiCXy/HYY4+hf//+HQrE2AxJksjKysKiRYswb948hIeH48qVK/j8888tKqAC/ud0wLSP6qjTweTJk2FtbY2cnByt8/7++28AD/e+7Ah+fn64d+8eTp8+rTVBaW1tjdzcXC6g4jAYXKM6B2s4fPgwpk+fDoFAgPfee89sp3QUCgViYmIQHh6OPXv2gMfjITY2FhcvXtRSgG+LhIQEnDx5EidOnIBIJIJcLseCBQtw5MgRXL58+ZEZAGNAmfimpKSgsrISS5cuxfTp01sJUlKlwbKyMro02NzcjOLiYqhUKgiFQvTu3buVlIM50tLSgh9++AGbNm2CQCDA8uXLMWrUKIv4bO1BOR0ws0GdcTr45z//iT179uDs2bMICwuDRCLB2LFjERQUpNdGdQ4OPcHpVHFwmILuiCImJCRgyJAhWLJkCX2soKAAoaGhWLZsGVJTUw2+/s5w7949rF+/HseOHcOsWbOwaNEi+Pj4aJ2jUCiQl5eHsrIy2NraIjg4GHw+36wzUhSlpaXYvHkzfvrpJ0yZMgVJSUkICAgw9bKMRllZGW1Tw+PxEB0djbVr10IkEtHn3LhxA+PGjcPrr7+OFStW0MfVajW++OILbN26FdbW1lAqlZg1axY++eQTizf65jBLuKCKg8MUdEcUUaVSwcrKSivD0dzcDCcnJ8yfPx/fffedwdbdHZqamrB9+3Zs3rwZUVFRSExMBI/HQ0pKCh577DFMnToVAoEAMpmM9nkTCATw8/Mzu2Z0kiSRnZ2NtLQ05OfnY+nSpZg/f77Za2ZxcHA8lA4FVVyjOgeHnsnJyUF4eHir40FBQThx4sRDX2tj0/oneffuXQDA2LFj9bI+Q+Ds7IxXX30VcXFxWLVqFaZPnw4PDw9a84rKPLi7u8Pd3R0tLS1035W3tzdEIhEcHBxM/CkejkKhwKFDh7Bx40b07t0bycnJGDNmjEWX+Dg4ODoHdzfg4NAzlZWV9Mg4Ezc3N8hksk4rRmdmZiIqKgoLFizQ1xL1TkNDA77++msMGTIEJSUlOH36NI4cOQKlUomxY8dizZo1qKqqos+3t7dHcHAwhg0bBhcXF/z111/IyclBTU0N61TEy8vL8cUXX2DUqFH4+++/sXPnTvz4448YN24cF1BxcHBowWWqODiMRFeChZMnT2Lfvn04e/Ysq33gFAoFbGxscObMGa2JzW+//Rb19fXYvn07pk2bhscffxwJCQmIjo4Gj8eDlZUV/P394e/vT+tU5eXlQSgUwtfX12SlQZIkcePGDaSlpeHWrVtYsmQJLl26BGdnZ5Osh4ODwzzgeqo4OPQMn89HeHg4Tp8+rXV82rRpOHHiBJqamjr0Pjdu3MCUKVOwf/9+jBgxwgArNS4ajQbHjh1DSkoK5HI54uLiMHny5FYlz5aWFhAEgfLycvj4+EAoFBqtNKhUKvHzzz8jIyMDvXr1QnJyMsaPH89lpDg4OLhGdQ4OUzBx4kTcvn1bS78H6FijOkVOTg6mT5+OnTt34sknnzTQSk0DSZK4e/cuUlNTcfbsWbz44otYuHAhPD09tc7TaDQoKysDQRCwt7dHQECAwYRBKysrsW3bNhw4cABPP/00kpKSEBISYhETihwcHHqB8/7j4DAF3RFFBNoOqEpKShAfH2/wtRsDHo+HiIgIrFu3DufOnYOTkxOeffZZJCcn49atW1qCov7+/oiJiUGfPn0gFotx5coVSKVSvXgNkiSJnJwcvPrqq5gxYwY8PT1x8eJFfPPNNwgNDeUCKg4Ojk7DZao4OPRMd0QR//rrL4wfPx7PP/88bSoNPMikHDp0qFVJ0VJQq9U4evQo1q1bB6VSiYSEBEycOLFVT5U+SoMqlQq//PILMjMz4ezsjOTkZEyYMIEVJb7y8nJa9wl4kN1cu3Zth9TYS0pK8OGHH+L8+fOws7ODWq3G/Pnz8fbbb8PW1tbQS+fgsHS48h8Hh6noqijizJkz8eOPP7b5nmPGjLHYoIqCJEnk5uYiNTUVFy9exLx587BgwQJ4eHhonUeVBsViMRwcHDpUGqyursb27duxb98+jB07FsuWLUNYWBhrMlLdUeLXaDQYPHgwlEolzpw5Ay8vL1y/fh0jRoxAUlISvvrqKyN+Eg4Oi4QLqjg4OMyXmpoabNmyBTt27MCwYcOQkJCAiIiI/9fe/YVE9edhHH+fFEn7ByZRmgsTqKU4iNCuYUEjmZPCGmEEFfwmKCpCwhKNUi9EKMvECyOForzuIqEiU7CQvNEQMZwVwRSTBMmtVNLUOnvRz0HTtdKZSZ3nBV6c75wjn7l7mPM9z5kVgj59+kRvby+jo6Ns3bqVkJAQ1ytzTNPE6XRSUVFBS0sLDocDh8OxJN8puZgmfqfTSUxMDKWlpWRlZbnW09PTaWpqor+/3+Pzi6xwClUisvx9/fqVx48fU15ezqpVqzh9+jTJycmzbg2OjY3R2dnJ8ePHsdlsxMfH8+DBAwICAsjMzJzzduJSspgm/s7OTqKiorh+/fqM8JWWlkZzczMDAwMem1vER2ijuogsf35+fqSnp1NbW0tJSQnPnj1jz5493Lp1i6GhIdd5q1evJjw8nBMnTuB0OikqKiIwMJCCggJSU1OXdKCC7w8oWCyWWesWi4XXr1/Pe21kZCRHjx6lsrLS9YBEfX09dXV1ZGZmemJcEZmDQpWILAuGYRAbG0tlZSX19fWYpsn+/fvJzs6mtraW8+fPk5qaSmBgIE+ePKGvr4/8/HzKy8tJTEykoaHhT3+FeS22ib+qqorU1FQiIiIIDQ3l4MGDlJWVkZ+f76mRReQHalQXkWUnODiYnJwcLly4QHV1NTk5Ody4cYOKiooZv0glJCSQkJDAu3fvGBsb+4MTL9yvbNH48uUL+/btY2Jigp6eHsLCwmhpaSE9PZ0PHz5w5coVL0wqIgpVIrJs+fv7k5GRQUZGxrznhYaGemmihQsJCWF4eHjW+vDwMEFBQa6XUs/l7t27vHz5koaGBsLCwgCIj48nOzubrKws0tLSiIuL89jsIvKdbv+JiNvk5eVhGAb379//06MsO1ardVYLP0B3dzexsbHzXju15yoiImLGemRkJKZp0tzc7LY5ReT/U6gSEQYGBjh27BhRUVFERUWRkZFBX1/fb/2Pvr4+SktLPTThyreYJv5NmzYB0NvbO+O8qScJN27c6KGpRWQ6hSoRHzc+Pk5ycjLj4+O0t7fjdDpZs2YNNpuNkZGRX/4/ly9fJikpyYOTrmwOh4PY2Fhyc3OZnJzk27dvXLp0CYvFwtmzZ13nNTY2Ehoayrlz52Zcu27dOvLy8ly3EHt7eykpKWHbtm0cOHDA699HxBcpVIn4uKqqKtra2iguLsbf3x8/Pz+Ki4t58+aN6/U5P9PS0kJjY6Me31+EgIAA6urq8PPzIzo6mh07djA0NER9ff2MNvW1a9eyYcMGtmzZ4lqzWCw0NTURHBzMzp07sVqtpKSkkJKSQmNj47z7sUTEfVT+KeLjFlM6OWXv3r2cOXOGzZs3Y7PZuHfvHg6Hw0MTi4h4nco/ReTnFlM6CVBdXc3o6ChHjhzxxHgiIsuGQpWIj1tM6eTExAS5ubncvHlzybyYWETkT1GoEpE5/crWgNu3bxMTE8Pu3bu9MJGIyNKm8k8RH7fQ0smPHz9y9erVJf/6FxERb9FGdREfZ7fb6ejomFU8+bON6jU1NZw6dWpGB9LIyAhdXV2Eh4cTHBzMoUOHKCgo8OT4IiLeoI3qIvJzCy2dtNvtvH37ltbWVtffnTt3ACgsLKS1tfWPB6r+/n7sdrv2e4mIVyhUifi4xZROLmUPHz5k165ddHV1Lej6srIyoqOjsVqtxMfHU11d7eYJRWSlUagS8XGLKZ2cMjAwQFxcHCdPngSgoKCAuLg4Xr165bXv8aNr165RV1dHYmLigq4tKiri0aNHrmLUw4cP8/TpUw9MKiIrhfZUiciKNDk5ib+/Pw6Hg6qqql96mhG+b8APCwvj4sWLFBYWutbT0tLo6emhvb3dUyOLyNKlPVUi4rv8/Rf2cHNNTQ2fP3/GZrPNWE9KSsLpdNLR0eGO8URkBVKoEhGZpq2tDWBWy/zU8dTnIiI/UqgSEZnm/fv3ALNa5tevXw/A4OCg12cSkeVBoUpE5Bf85v5TEfFBClUiItOEhIQAzGqZnzqeXnYqIjKdQpWIyDRWqxVgVsN8d3f3jM9FRH6kUCUiPm1wcJDx8XHXsd1uJygoiBcvXsw47/nz50RHR7N9+3YvTygiy8Xv9lSJiCwrhmHcB/4yTXNWz4xhGBbgP8Bz0zQPTFu/BFwE/mWa5hvDMPYBT4F/m6apBlARmdPCilxERJY4wzBuAMnAP/4+bv37o3+apjn109Qo8F/g3fRrTdO8ZhjGGPDYMIxJ4CtwWIFKROajX6pERERE3EB7qkRERETcQKFKRERExA0UqkRERETcQKFKRERExA0UqkRERETcQKFKRERExA0UqkRERETcQKFKRERExA3+B5AboRE9MFwRAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set the initial conditions.\n", "p0 = numpy.zeros((ny, nx))\n", "\n", "# Compute the source term.\n", "b = poisson_source(x, y, Lx, Ly)\n", "\n", "# Plot the initial scalar field.\n", "plot_3d(x, y, p0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks suitably boring. Zeros everywhere and boundaries held at zero. If this were a Laplace problem we would already be done!\n", "\n", "But the Poisson problem has a source term that will evolve this zero initial guess to something different. Let's run our relaxation scheme and see what effect the forcing function has on `p`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Jacobi relaxation: 3125 iterations to reach a relative difference of 1.9958631078740742e-07\n" ] } ], "source": [ "# Compute the solution using Jacobi relaxation method.\n", "p, ites, conv = poisson_2d_jacobi(p0, b, dx, dy, rtol=2e-7)\n", "print('Jacobi relaxation: {} iterations '.format(ites) +\n", " 'to reach a relative difference of {}'.format(conv[-1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It took 3,125 iterations to converge to the exit criterion (that's quite a lot, don't you think? Let's now take a look at a plot of the final field:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the solution.\n", "plot_3d(x, y, p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Something has definitely happened. That looks good, but what about the error? This problem has the following analytical solution:\n", "\n", "$$\n", "\\begin{equation}\n", "p(x,y) = \\sin{\\left(\\frac{x\\pi}{L_x} \\right)}\\cos{\\left(\\frac{y\\pi}{L_y} \\right)}\n", "\\end{equation}\n", "$$\n", "\n", "Time to compare the calculated solution to the analytical one. Let's do that." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def poisson_solution(x, y, Lx, Ly):\n", " \"\"\"\n", " Computes and returns the analytical solution of the Poisson equation\n", " on a given two-dimensional Cartesian grid.\n", "\n", " Parameters\n", " ----------\n", " x : numpy.ndarray\n", " The gridline locations in the x direction\n", " as a 1D array of floats.\n", " y : numpy.ndarray\n", " The gridline locations in the y direction\n", " as a 1D array of floats.\n", " Lx : float\n", " Length of the domain in the x direction.\n", " Ly : float\n", " Length of the domain in the y direction.\n", "\n", " Returns\n", " -------\n", " p : numpy.ndarray\n", " The analytical solution as a 2D array of floats.\n", " \"\"\"\n", " X, Y = numpy.meshgrid(x, y)\n", " p = numpy.sin(numpy.pi * X / Lx) * numpy.cos(numpy.pi * Y / Ly)\n", " return p" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Compute the analytical solution.\n", "p_exact = poisson_solution(x, y, Lx, Ly)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.00044962635351970283" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Compute the relative L2-norm of the error.\n", "l2_norm(p, p_exact)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That seems small enough. Of course, each application problem can have different accuracy requirements." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Algebraic convergence" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember that we saved the L2-norm of the difference between two consecutive iterations. The purpose of that was to look at how the relaxation scheme *converges*, in algebraic sense: with consecutive solutions getting closer and closer to each other. Let's use a line plot for this." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the convergence history.\n", "pyplot.figure(figsize=(9.0, 4.0))\n", "pyplot.xlabel('Iterations')\n", "pyplot.ylabel('Relative $L_2$-norm\\nof the difference')\n", "pyplot.grid()\n", "pyplot.semilogy(conv, color='C0', linestyle='-', linewidth=2)\n", "pyplot.xlim(0, len(conv));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like in the beginning, iterations started converging pretty fast, but they quickly adopted a slower rate. As we saw before, it took more than 3,000 iterations to get to our target difference between two consecutive solutions (in L2-norm). That is a *lot* of iterations, and we would really like to relax faster! No worries, we'll learn to do that in the next notebook." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spatial convergence" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a sanity check, let's make sure the solution is achieving the expected second-order convergence in space." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[nx = 11] Number of Jacobi iterations: 249\n", "[nx = 21] Number of Jacobi iterations: 892\n", "[nx = 41] Number of Jacobi iterations: 3125\n", "[nx = 81] Number of Jacobi iterations: 10708\n" ] } ], "source": [ "# List of the grid sizes to investigate.\n", "nx_values = [11, 21, 41, 81]\n", "\n", "# Create an empty list to record the error on each grid.\n", "errors = []\n", "\n", "# Compute the solution and error for each grid size.\n", "for nx in nx_values:\n", " ny = nx # same number of points in all directions\n", " dx = Lx / (nx - 1) # grid spacing in the x direction\n", " dy = Ly / (ny - 1) # grid spacing in the y direction\n", " # Create the gridline locations.\n", " x = numpy.linspace(xmin, xmax, num=nx)\n", " y = numpy.linspace(ymin, ymax, num=ny)\n", " # Set the initial conditions.\n", " p0 = numpy.zeros((ny, nx))\n", " # Compute the source term.\n", " b = poisson_source(x, y, Lx, Ly)\n", " # Relax the solution.\n", " # We do not return number of iterations\n", " # or the convergence history.\n", " p, ites, _ = poisson_2d_jacobi(p0, b, dx, dy, rtol=2e-7)\n", " print('[nx = {}] Number of Jacobi iterations: {}'.format(nx, ites))\n", " # Compute the analytical solution.\n", " p_exact = poisson_solution(x, y, Lx, Ly)\n", " # Compute and record the relative L2-norm of the error.\n", " errors.append(l2_norm(p, p_exact))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the error versus the grid-spacing size.\n", "pyplot.figure(figsize=(6.0, 6.0))\n", "pyplot.xlabel(r'$\\Delta x$')\n", "pyplot.ylabel('Relative $L_2$-norm\\nof the error')\n", "pyplot.grid()\n", "dx_values = Lx / (numpy.array(nx_values) - 1)\n", "pyplot.loglog(dx_values, errors,\n", " color='black', linestyle='--', linewidth=2, marker='o')\n", "pyplot.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks pretty much second order! Remember that the boundary conditions can adversely affect convergence, but Dirichlet boundaries are \"exact\" and will never impact your convergence." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Final word" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have used the difference between two consecutive solutions in the iterative process as a way to indicate convergence. However, this is *not* in general the best idea. For some problems and some iterative methods, you could experience iterates *stagnating* but the solution *not converging*.\n", "\n", "Convergence of an iterative solution of a system $A \\mathbf{x} = \\mathbf{b}$ means that:\n", "\n", "$$\n", "\\begin{equation}\n", "\\lim_{k \\rightarrow \\infty} \\mathbf{x}^k = \\mathbf{x}\n", "\\end{equation}\n", "$$\n", "\n", "The error in the solution is actually $\\mathbf{x}-\\mathbf{x}^k$, but we're looking at $\\mathbf{x}^{k+1}-\\mathbf{x}^k$ for our exit criterion. They are not the same thing and the second could tend to zero (or machine precision) without the first being comparably small.\n", "\n", "A discussion of better ways to apply stopping criteria for iterative methods is a more advanced topic than we want cover in this course module. Just keep this in mind as you continue your exploration of numerical methods in the future!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "###### The cell below loads the style of the notebook" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "css_file = '../../styles/numericalmoocstyle.css'\n", "HTML(open(css_file, 'r').read())" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (MOOC)", "language": "python", "name": "py36-mooc" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 1 }