{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Cavity flow with Navier-Stokes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final two steps will both solve the Navier–Stokes equations in two dimensions, but with different boundary conditions.\n", "\n", "The momentum equation in vector form for a velocity field v⃗ \n", "\n", "is:\n", "\n", "$$ \\frac{\\partial \\overrightarrow{v}}{\\partial t} + (\\overrightarrow{v} \\cdot \\nabla ) \\overrightarrow{v} = -\\frac{1}{\\rho}\\nabla p + \\nu \\nabla^2 \\overrightarrow{v}$$\n", "\n", "This represents three scalar equations, one for each velocity component (u,v,w). But we will solve it in two dimensions, so there will be two scalar equations.\n", "\n", "Remember the continuity equation? This is where the Poisson equation for pressure comes in!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the system of differential equations: two equations for the velocity components u,v and one equation for pressure:\n", "\n", "$$ \\frac{\\partial u}{\\partial t} + u \\frac{\\partial u}{\\partial x} + v \\frac{\\partial u}{\\partial y}= -\\frac{1}{\\rho}\\frac{\\partial p}{\\partial x} + \\nu \\left[ \\frac{\\partial^2 u}{\\partial x^2} +\\frac{\\partial^2 u}{\\partial y^2} \\right] $$\n", "\n", "$$ \\frac{\\partial v}{\\partial t} + u \\frac{\\partial v}{\\partial x} + v \\frac{\\partial v}{\\partial y}= -\\frac{1}{\\rho}\\frac{\\partial p}{\\partial y} + \\nu \\left[ \\frac{\\partial^2 v}{\\partial x^2} +\\frac{\\partial^2 v}{\\partial y^2} \\right] $$\n", "\n", "$$\n", "\\frac{\\partial^2 p}{\\partial x^2} +\\frac{\\partial^2 p}{\\partial y^2} =\n", "\\rho \\left[\\frac{\\partial}{\\partial t} \\left(\\frac{\\partial u}{\\partial x} + \\frac{\\partial v}{\\partial y} \\right) - \\left(\\frac{\\partial u}{\\partial x}\\frac{\\partial u}{\\partial x}+2\\frac{\\partial u}{\\partial y}\\frac{\\partial v}{\\partial x}+\\frac{\\partial v}{\\partial y}\\frac{\\partial v}{\\partial y} \\right) \\right]\n", "$$\n", "\n", "From the previous steps, we already know how to discretize all these terms. Only the last equation is a little unfamiliar. But with a little patience, it will not be hard!\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our stencils look like this:\n", "First the momentum equation in the u direction\n", "$$\n", "\\begin{split}\n", "u_{i,j}^{n+1} = u_{i,j}^{n} & - u_{i,j}^{n} \\frac{\\Delta t}{\\Delta x} \\left(u_{i,j}^{n}-u_{i-1,j}^{n}\\right) - v_{i,j}^{n} \\frac{\\Delta t}{\\Delta y} \\left(u_{i,j}^{n}-u_{i,j-1}^{n}\\right) \\\\\n", "& - \\frac{\\Delta t}{\\rho 2\\Delta x} \\left(p_{i+1,j}^{n}-p_{i-1,j}^{n}\\right) \\\\\n", "& + \\nu \\left(\\frac{\\Delta t}{\\Delta x^2} \\left(u_{i+1,j}^{n}-2u_{i,j}^{n}+u_{i-1,j}^{n}\\right) + \\frac{\\Delta t}{\\Delta y^2} \\left(u_{i,j+1}^{n}-2u_{i,j}^{n}+u_{i,j-1}^{n}\\right)\\right)\n", "\\end{split}\n", "$$\n", "Second the momentum equation in the v direction\n", "$$\n", "\\begin{split}\n", "v_{i,j}^{n+1} = v_{i,j}^{n} & - u_{i,j}^{n} \\frac{\\Delta t}{\\Delta x} \\left(v_{i,j}^{n}-v_{i-1,j}^{n}\\right) - v_{i,j}^{n} \\frac{\\Delta t}{\\Delta y} \\left(v_{i,j}^{n}-v_{i,j-1}^{n})\\right) \\\\\n", "& - \\frac{\\Delta t}{\\rho 2\\Delta y} \\left(p_{i,j+1}^{n}-p_{i,j-1}^{n}\\right) \\\\\n", "& + \\nu \\left(\\frac{\\Delta t}{\\Delta x^2} \\left(v_{i+1,j}^{n}-2v_{i,j}^{n}+v_{i-1,j}^{n}\\right) + \\frac{\\Delta t}{\\Delta y^2} \\left(v_{i,j+1}^{n}-2v_{i,j}^{n}+v_{i,j-1}^{n}\\right)\\right)\n", "\\end{split}\n", "$$\n", "Finally the pressure-Poisson equation\n", "$$\\begin{split}\n", "p_{i,j}^{n} = & \\frac{\\left(p_{i+1,j}^{n}+p_{i-1,j}^{n}\\right) \\Delta y^2 + \\left(p_{i,j+1}^{n}+p_{i,j-1}^{n}\\right) \\Delta x^2}{2\\left(\\Delta x^2+\\Delta y^2\\right)} \\\\\n", "& -\\frac{\\rho\\Delta x^2\\Delta y^2}{2\\left(\\Delta x^2+\\Delta y^2\\right)} \\\\\n", "& \\times \\left[\\frac{1}{\\Delta t}\\left(\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}+\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y}\\right)-\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}\\frac{u_{i+1,j}-u_{i-1,j}}{2\\Delta x}\\right. \\\\ \n", "& \\left. -2\\frac{u_{i,j+1}-u_{i,j-1}}{2\\Delta y}\\frac{v_{i+1,j}-v_{i-1,j}}{2\\Delta x}-\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y}\\frac{v_{i,j+1}-v_{i,j-1}}{2\\Delta y} \\right] \n", "\\end{split}\n", "$$\n", "\n", "The initial condition is $u,v,p=0$\n", "\n", "everywhere, and the boundary conditions are:\n", "\n", "$u=1$ at $y=1$ (the \"lid\");\n", "\n", "$u,v=0$ on the other boundaries;\n", "\n", "$\\frac{\\partial p}{\\partial y}=0$ at $y=0,1$;\n", "\n", "$\\frac{\\partial p}{\\partial x}=0$ at $x=0,1$\n", "\n", "$p=0$ at $(0,0)$\n", "\n", "Interestingly these boundary conditions describe a well known problem in the Computational Fluid Dynamics realm, where it is known as the lid driven square cavity flow problem." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Numpy Implementation" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot, cm\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "nx = 41\n", "ny = 41\n", "nt = 1000\n", "nit = 50\n", "c = 1\n", "dx = 1. / (nx - 1)\n", "dy = 1. / (ny - 1)\n", "x = np.linspace(0, 1, nx)\n", "y = np.linspace(0, 1, ny)\n", "Y, X = np.meshgrid(x, y)\n", "\n", "rho = 1\n", "nu = .1\n", "dt = .001\n", "\n", "u = np.zeros((nx, ny))\n", "v = np.zeros((nx, ny))\n", "p = np.zeros((nx, ny)) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The pressure Poisson equation that's written above can be hard to write out without typos. The function `build_up_b` below represents the contents of the square brackets, so that the entirety of the Poisson pressure equation is slightly more manageable." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def build_up_b(b, rho, dt, u, v, dx, dy):\n", " \n", " b[1:-1, 1:-1] = (rho * (1 / dt * \n", " ((u[2:, 1:-1] - u[0:-2, 1:-1]) / \n", " (2 * dx) + (v[1:-1, 2:] - v[1:-1, 0:-2]) / (2 * dy)) -\n", " ((u[2:, 1:-1] - u[0:-2, 1:-1]) / (2 * dx))**2 -\n", " 2 * ((u[1:-1, 2:] - u[1:-1, 0:-2]) / (2 * dy) *\n", " (v[2:, 1:-1] - v[0:-2, 1:-1]) / (2 * dx))-\n", " ((v[1:-1, 2:] - v[1:-1, 0:-2]) / (2 * dy))**2))\n", "\n", " return b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function `pressure_poisson` is also defined to help segregate the different rounds of calculations. Note the presence of the pseudo-time variable nit. This sub-iteration in the Poisson calculation helps ensure a divergence-free field." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def pressure_poisson(p, dx, dy, b):\n", " pn = np.empty_like(p)\n", " pn = p.copy()\n", " \n", " for q in range(nit):\n", " pn = p.copy()\n", " p[1:-1, 1:-1] = (((pn[2:, 1:-1] + pn[0:-2, 1:-1]) * dy**2 + \n", " (pn[1:-1, 2:] + pn[1:-1, 0:-2]) * dx**2) /\n", " (2 * (dx**2 + dy**2)) -\n", " dx**2 * dy**2 / (2 * (dx**2 + dy**2)) * \n", " b[1:-1,1:-1])\n", " \n", " p[-1, :] = p[-2, :] # dp/dx = 0 at x = 2\n", " p[:, 0] = p[:, 1] # dp/dy = 0 at y = 0\n", " p[0, :] = p[1, :] # dp/dx = 0 at x = 0\n", " p[:, -1] = p[:, -2] # p = 0 at y = 2\n", " p[0, 0] = 0 \n", " \n", " return p, pn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the rest of the cavity flow equations are wrapped inside the function `cavity_flow`, allowing us to easily plot the results of the cavity flow solver for different lengths of time." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def cavity_flow(nt, u, v, dt, dx, dy, p, rho, nu):\n", " un = np.empty_like(u)\n", " vn = np.empty_like(v)\n", " b = np.zeros((nx, ny))\n", " \n", " for n in range(0,nt):\n", " un = u.copy()\n", " vn = v.copy()\n", " \n", " b = build_up_b(b, rho, dt, u, v, dx, dy)\n", " p = pressure_poisson(p, dx, dy, b)[0]\n", " pn = pressure_poisson(p, dx, dy, b)[1]\n", " \n", " u[1:-1, 1:-1] = (un[1:-1, 1:-1]-\n", " un[1:-1, 1:-1] * dt / dx *\n", " (un[1:-1, 1:-1] - un[0:-2, 1:-1]) -\n", " vn[1:-1, 1:-1] * dt / dy *\n", " (un[1:-1, 1:-1] - un[1:-1, 0:-2]) -\n", " dt / (2 * rho * dx) * (p[2:, 1:-1] - p[0:-2, 1:-1]) +\n", " nu * (dt / dx**2 *\n", " (un[2:, 1:-1] - 2 * un[1:-1, 1:-1] + un[0:-2, 1:-1]) +\n", " dt / dy**2 *\n", " (un[1:-1, 2:] - 2 * un[1:-1, 1:-1] + un[1:-1, 0:-2])))\n", "\n", " v[1:-1,1:-1] = (vn[1:-1, 1:-1] -\n", " un[1:-1, 1:-1] * dt / dx *\n", " (vn[1:-1, 1:-1] - vn[0:-2, 1:-1]) -\n", " vn[1:-1, 1:-1] * dt / dy *\n", " (vn[1:-1, 1:-1] - vn[1:-1, 0:-2]) -\n", " dt / (2 * rho * dy) * (p[1:-1, 2:] - p[1:-1, 0:-2]) +\n", " nu * (dt / dx**2 *\n", " (vn[2:, 1:-1] - 2 * vn[1:-1, 1:-1] + vn[0:-2, 1:-1]) +\n", " dt / dy**2 *\n", " (vn[1:-1, 2:] - 2 * vn[1:-1, 1:-1] + vn[1:-1, 0:-2])))\n", "\n", " u[:, 0] = 0\n", " u[0, :] = 0\n", " u[-1, :] = 0\n", " u[:, -1] = 1 # Set velocity on cavity lid equal to 1\n", " \n", " v[:, 0] = 0\n", " v[:, -1] = 0\n", " v[0, :] = 0\n", " v[-1, :] = 0\n", " \n", " return u, v, p, pn" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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EJkcy65IiVKrhibTWlkZeevExAG697cccabMCPpGm046df1Pl/jLeXPEEB3ZtByA6PpFlN93B9PMWI/szNs44fwmRMXHDFq4AM1NS6bA7ONDawjvbD3D1nCKiw4Y+TYG108KRsjKOlJZSubuUqr17cTkcA9bNmzGdy+++m+TcnCFfb6TpaGri2fvuJyYlhaScbP+Sgzk6ekTut0AgEAjObra2VuH0eonU6ZiRlBRqc0JCtDYWi9tCbU/HiAs1AJO2BI+3ix7XDkq7tqJT6YnRjk7Uj+DcZuwogCCzeUslanl4vUwRMSYWXDYZtXp4WQkVReHpfz2I3d7DvAVLKSyazr/W+4RQbtbY+OLXVB7mrWeepHTLBgDCo2K45LpbmbNkORpN/7CCqNiRs1mSJC7MzqbL6aCuq4vXN+/l+vmTMOg0pz1XURSaq6sDoqxydymNR470q6OSZVIL8kkrKGDT676MlXHpaVz+ne8wfs7sMSd+wmNjyZo0kfdXPNOv3BQRERBtidnZFM6eRVRCQkhsrNq3D0mlIjknB1l9zj5iBAKBIOi0O3vY3u4b131eRjrqcySByPHEaGI5QgU1tpFLKHI8Zt0CPEoXDvchdnRuYFbUBZjV585YQEFwOGffouJSo9Bqhj43mcGkY+KcXLT60wuG0/HJx6vZU/YZkVGxXHf9tzja3IHHo2A0aEhKDO2Xvqm2mlXPPsX2j99HURSMYWYWf/lmFi3/Elp9cOZ2U6tULBuXx8o9ZXQ6HIG0/Wq5/w+Qy+Ggev8BKktLOeJfutv7DybWh4WRVVxEZnExWROLSS8sRGc0UrFrF7s+WMfi229j3tVXhUxguJ1O2hubaG9ooL2x0bdu6F030N7UhMflOuE8a2cnh3d8jqzRUDh7FhFxI9+DOFgMYWE8eOPNyLJM+vhCMouLfUvRBEwhHtB+aNt24tLTiYwP3f0RCASC0UBRFD5qKkcBsiMiyI2MDLVJIaPvODWr24lpBMep9SJJEpH6JbTZrLg8dWztWM/cqIvRy2KYhGDkOGeF2oLLJmMwmEJtBm1tTax8/q8A3PLVH2E0mTl40Bdbnp0VN+yQyiHb1dzIOy/8m03vrsbr9aAzGDn/imu58KrrMZjCgm6PQaPh8vwCnivbTWNnN+tLy5mZFsPRsjIqd++mcncp1QcOnCBiYlNTySwuImviRLKKi0nIyhwwA6UhzMy9L68cVSGhKAq2rq4TBFhbQyMdjb51V2vrKdtQyTJRiYm0NzQEyjQ6HdMuWcKCa75MYlZwEs+4HA56LBZ6LF2+dZd/7V8i4uJoq6vj8I7PObzj88B58enpZBYXkzNlMlMvXhx0QdxWX89jd3+HuLQ0ckqmMK6khNypJYTHhG4caMWu3VTs3En+zBmk5OWdUYbU0cBptwMErSNGIBCMDJXWNo70tCMB52dmjLmIkGDiG6cWgcXdSe0ojFPrRZLURBkup7VnJW5vG9s7NzAzchFq1fA78QUCOIeF2lhAURRW/OuP2GxW5sxdwqTJc+hxuDjS7PMC5Q5zPrah0NXZztqVz/Dx6tdwu5yoNVrOu/zLLL7mZswRUUG3pxev14utqZ6cjlYOhEVS3tDG1pdX0rLunUAdWaMhs6iIrInFAY+ZOTp6UO0n5WQP30aPB0trax8B1kBHY6Nv3eBbO3pOPS5SZzQSnZhIZGKCb53QZ52USHhMDFX79vHo1+4kMiGBeVdfxazLLsMUceYTmSqKgqOnhx6LBavFQk+nT2TZ+omuPtt9yk82ru90qHVaksflMn7O7BERaV6PB6fdjtNux9Fjw2m34bTZ+60dNjtOmw2nzYbdakUlyzRXV9NcXc3mN94EID4jg3FTS8iZMoXckhLM0cH7rKePL+S5X/8vqx9/AlNEBOOmTSV/xnTyps8gOikxaHb0opJl/njzLUQmxFM4axYFs2aSkJkZspe+zW++icftoXD27JDcj168Hg9V+/aRXlg4qDkhRwtFUc7pF3DBwLi9Xj5sLgdgRlIS0aKjhRhtLBZ3JzWjNE6tF5WkJ8pwBW09L9Lt6WRb5ydEagb37jEQVqtzBK0TnO0IoRZCPt2whtLdm4mIiOa6G+8G4FCDz6MSGxNGZMTQk2acKT3dXXzw6guse+MlHLYeVCqZeZdcziXXf3VEx5wNFofdxpEDe6nYV0rF3lIq9pdh6+4CIHzSNJKuuIGY+RcRHxtNdlwEWcXFpBXkoxnF7FZOu8Pv+fILsPre8ESfMOtoasLr8ZyyDXNMDNGJCUQlJhKV4F/32TeYzad9CWuuquaWB/6X4oULkNVqPG433R0d/TxaPZYuerqOE1p9Fp8Y6zqtvQMhqVSYIiIwhodjDDf718cWg9nMnk82cGi7b5ylMTycSRecz8SFC4lJTsZpt9FcXUPtoUMDiimHvXf7eMF1XJnNhss5Mj9oTUeP4rTb0eh0RCXEI6tl3C4XbqcLt8vZf+109inr3fcd9xxf1nd9fFt92rd3+T7b1s5Odn6wjp0frAMgLi2NvOnTyZ8xncI5s1FrBjc20+vx4HF78Hrc/rUHj9uN19O/bKDjHo+b7EkT2fzmWxzc+hlv/N9fiExIoGDWTApnzWTctGkYwoLnVc8oKuKPN30FRVFIzM6icPZsxs+ZTdbEiUH1yKpkmY9fepmDn22jcPYsJsydS/7MGUG9F72s+PkviEpIYML8eWQWFYUkVHvfps0Yw8NJKywIiRfY6/EgqVRCtPrZ3l6NxWVHq1IxOyU51OaMCaI1sVRSTu0ITnx9MtSqCL9Ye5lOdxud7rYht2Wzu0fQMsHZjnSuTdYnSVI40Pm3J9aENPSxvb2FX/z0Znp6urn7u79jSsk8AF7+tJTWbhuzpmdRMC44vcfvv/o8a15cQU93F5IkMW3hRSy96Q7ik1ODcv1eyvfsZvsnH1Cxr5Sa8kN4vf1FRFJ6FtmFRWSPn4g1JZM9XV1IwLLpBaSMYNr+pqoq9m3afGxcmD9U8fjxbscjazQ+8dUrwJJ84qvXIxaVEI9aO/g4+c6WFvZv2jxgaGFfAWa3Wof0d8oaDaaI/iLLaA4/ToCZUWu11JdXBF6IvB4PTofjpGLK0WOjubo68PLmcY/Sj44kIavVqDVqVLIalVpGpZJRqVSBFzhJkkACFAAFxavQ0dQUmKRU8reBJPmFy5kL19FEo9djCAtDbzQiyao+Aswnshw2O16PB8Xrwevxoni9oz8BqyQRl5pKWkEBaq0Gr8eLpbUFl8OJ1+tB8SqAgtfrBcV3zxWUgG2KV/Gte5demxX/OfQ9R0FRvFjbO074u9RaLYlZWSRmZ5OYlYkhLIzWujp6LBbA/3+nd+X7ECgSSL0lkoSigOT/fCj0eqokJMn3kTleAnQ0N7Pnkw3HboVKRWpeHtmTJ5EzZQrRiQkgSbTU1NLe0IBKlv2L6thns3dfVqOSZWRZhUqWkVS+bUmWkWXfZzmw3bcdWWbfps28+qc/A76OkMI5syleMJ/8GTPQm479rrXU1lJ/uBxZo0ZWq5HVGt/av6/WaFDJ/u+Qf99Xz7ecynN4pLSMR79+JxGxsRQtmE/xwgXkTJkyYGdCZ0sL1fv2odHpfItej7Z3u89yJoLTbrXy+D3fJaekhEmLFpFWePopcmzd3VTu3o3eFOb7XoWZMISFoTMaz1jw1R0+TGxqGlr9mXcOetxuDu/YQURcHBGxsejDwoYlOC0uO08f2YpXgeW5ORSeQSh3VdlB4jNT0Q8jm/JIYO2wYIo888iQU+HyOnm3+W0Abs+eOSrj1E64pqcZu/sQ4B1yG51tPdxR8hRAhKIolpGybTTofac+ePQ3mMNHz4vbZbGTl/EzOAvuyUhzznrUOtpbQjtGTVHIyi7EbI4MiLR9NU20dtuQJMjKiA2aKY01VfR0dzFx1nyW3/x1UrJCk46+fO9uPnzzZcA37ionbyLZ44vJGT+RrIIiTOZjD3FFUXAdPszBtlY+LKvkhgWTRqxntebAQV5/5NETyo1m8wkhiX09YmFRUSPas9xaW8uLv/3daevpjMYTvFpGs3lAb9exxYxGpxvUPWupreVfP/npGdvv8XqRVCp0RiM6owGt3oDWoA+sdX32fcf1aA0nrnUGXz1Zlnnolq8eu4Ci4HG5BkyuMlgURcHtP1/WaNDpdGh0WtQare+lVavxbfdba9i/ecvoCdA+uOx2XHY7Y+pXyZ9Ntbm6OqRmuJ1Oag4coObAgZDZoHi9VO/fT/X+/Xz04sqQ2NBjsbB9zVq2r1kL+MSjLMvIfhHt8o85HCqSJB3r+FBJSJK/I0QlgSTR2dLCxldfY+Orr6GSZcKiIomIjSMiPg6tTo+sUdPZ1MzBbdsGdS1Zo0HW+ESjWuv7Lmq0WtRaLRqdNiDqtHo9Truddf95lnX/eRaDOYyUcXlkFE0gKScbrd7Qr75Gp6PpaBVP3/uzE6+rUqE3mdCbTAEB5xNzfdZhveLOt3+kbA/rn3+e/BkzmHLhhRQvmD/oiI6utjYev+d7gX2tXk94bKxPuMXFEuHfPr5MrdXSUFlJVEICOuMxYfV5ey1eBdLMZgoGGe4P4HI6eej6u/G6PSRkp5FRlE96UT7pRXmkFuYOSYQOBa/Hw0PX3U1EXAwX33UDBXOmjsjvuabPOLWtrVUsis85Zbv2Hjv/+s3zzLp4GiULJg7tmnIcGnl4YZbPPvbvYZ0v+GIhPGohwOGwo9PpfWLD5USr1VHV3MHbn/uSiEwuTmVycVrQ7Oloaaa9pYnM/PF43O5BhVeNBvVVR9i3YwvZ44tJy847be+qy+Ph8e3b8CoKX5pTRGz4yPw/m6qq2Lpq9QlhiX17qoNBe2Mj65597gSRZfKHF/YKrtEOe7J1d/PWXx8blJjSHXdMrdWOmIBWFIWXfv9gnxc4DbJ/3bfs2PrYi16v0LK0tRIVn4DBHNa/HY3mjOx87eFHcDmcyGqfp6PX+9BvW632eUPUMrKsDtRV9dmW1Wq62ztY//zzZE+ewripJUQnJvrP6V/32PaxsvefeZau1la/N1GFJKlQyarAy3U/7+Jx+ypZHrierGL7mrVU7d1HTEoKqfl5pObnEx4TjaSSUfV7WVehUkmUbdhIR2NTwIspqXo9U36vpkpCovdF3/eCr5JUPsdX7zmBfZ8I6K3vdrnY+f4HPm+bJBEZH0dsSgoxKSnoTaY+/zeJuvJyLM3Nvs+Lz0127PPj3w84WP2fKWnAukDgt1HpdcjicjiwtLT0+yzoTaZAKLBapwUFutvb6emy+D2F+L2Biq9Jvyex3z59y/uX9drZ93vQr65gzCCr1RjMZszR0RjNZp/gCwvDYPKte7fdbjc71r6LravLNz7YYkHxnt4DY4qIQGcy0t7QSExyMhkTJpBVXER5fixtWlgUF8+0zPRBdxh2NLbw9I9+S/WeQ9it/cdPq2QVSeOyyCjKI70on4yifJLzslBrR/79oOlIDQ/f/D0szb5wwYyJBSy560aKzxv+FDkN9jq2d24FYG5sJlOjT/5utfaFdTz8/ceJS47h8fV/whQeGi/jvu0H+d6yn8NZ4D0SHrXRRwi1EPDqK//gqi99LbDfbLHy2ta9eL0KOVlxzJt16l6f0WL/zm3oDUYy88cH/dpD5a0DB6joaGd6bipTc1NCbY5AcMZ4PZ6QJqc4HrfTybY1ayicM4eI2OB59k/Ghy+8yNE9eyiaP5/xc2ZjMJtDZssLD/yG3R9+RMGsmRTNn0fBrNlDSuQzXD5+6WVee/gRJJWKzOIiJsydy/g5c0jMzvKHdPpCSr1erz8k1nOabV/orC901XvCtsft81y7XW5cTgcetxt7l5VXH3kEr9+zrFarScnPJ31CIan5BZijIvG43bhdbrxuN26XC6/Ht+9xu33ecLf72OLfd7tcuBwOnA4HHqcLl9PRZ4yn3w63C4/Ljb27G1t39wn3R28yYY6JxmgOR2c04HG5cTkcAy8jNM51JJBUqoD3UCXLSIBX8eJxu3E5nCeNHkh56Eeo46JpeOBxXJU1RMTFEBkfQ0R8LBEJsb7thFgi4mOI9K8NYcfef7xeL01HaqgqO8DR0gNUlR2ket9hXPb+SaPUGg3J+dmkF+WRUZxPRlEeiTmZyMOcS3HVp2EAACAASURBVBbA5XCy6dU1vPuPF2ivawIgOS+LJXfdyJSLFwzrGVlpPcze7jIAFifmUxA+8Lh7r9fLvdc+wM4NZSy+bhHff/ibQ77mcLB29XB13q1wFogSIdRGHyHUgozL6eBb37iU3z74HLGxiXTZHKzcVIrb7SUpMYILFxYgy6FJz/3kA/dSWDKD+ZdeEZLrD4WypiY+qKwgLsLE1bOLQm2OQCAYYbxeb8inLOi1o2LnLjKLi0IWdQA+Yf/W3x4jNT+fglkzQzY34YcvvMiG//6XwtmzKZw9i9ySkqBP6fD4d7/HgS1b0ZtMjJs2lYKZMymYNZPopKRBt+H1enE7nScXcn0Wp/3YtrWzk/XPPd+vLbVGQ9r48WSMLyQpJ5fw2Bh/ttlubF3d2KxW7N3d2Lut2Kzdx237jp2xcNSoSX/yfiSVirrv/x5PRxdez+m9czqjISDaAmIu/piYM8dGYevs5mjpfl7+zd/weDy+sZve/u+MGr2OtMJc0ns9b8X5xGemDvk763G52frW+7z7xPM0Ha0FID4zlcVfv54Zyy9E1gwtgmRvVxmVPYeRgMtTikg3DZzZt7G6mW+c/0N6um38asWPmbV42pCuNxyEUDuRc1monbNj1ELF0aOHcLucbPj4bS5Z/hXe3nEAt9tLVKSR8+blhUyktbc0sXvzJ4RFnF0TZGb5J/Rs7rRitTsx6Ud/sLBAIAgeY0Gkgc+O3JIpoTYDlSxz+XfuDrUZTL14MQuvuzZkWRfb6htILyxk8VdvJWPChCGHgKtUKl+49hmKzPeeXoGkUpFeWMC4adPImzaNzOKiYWcedjud2LqtPnHnF3K+bZ+Q62pr44P/PBuor4mLRlKpUOwOJs2ZRk5JEWkFuWiNOjoaW+hobKGzqTWw7mxqoaOple7WDhorq2msPPVYU3NMJCpZhcftDkQDRycnEJ2cQI+lm4byI1R8voeKz/cEztGbjKSNHxfwvKUX5ROblnTSz4qiKLTVNRGTkoCsUTP7qiXMvPwidqz5iLVPPE/dwUqevfePvP3XZ7joa9cx+6olaHRn9ltfGDYBh8dGnaOWt2r3cE36ZOL0J2ZsTUiL485f38LD33+cR3/4BOM/zCc8OnRefIFACLUgU1Hue5ht3LgWKXUW7VY7GrWKCxcVoNWG7t+xcc2beL0eqstDNzB/KJi0WhJMJhqtVqqaOyhMC/5UAgKBQHCuMdg5KkeL6KRELr3z6yG7ftbEifxm7TsjPj2DWqvFHK096VyO7z29AoCk7GyyJ08ifNZk9gKJ0VHc8sd7+9VNyT95YjCPy42lpa2/mGs6TtQ1ttDVemK247a6RtrqGjFFmFl40xXkTJ1IZ2OLL3Ryz0Eay6s49NkuDn22K3COMcJM+oQ8n3jzJyyJSooPjFF95ie/Jzkvi0u+eRPhsdGoZJlpS8+n5JJFlH24mTV/f5ajpQdYef+jrHnsWc7/6peYd+1y9CbDoO6rJElMjCjB3u6gzdXCK9W7uDFzKuGaEwX64uvOY+PbW9n6/g7+du8/+enj3x3UNQSC0UAItSBTfngvKrWOmKJLqO/oRqWSuOSiIkzG4GRXGgiP282Gd94AoO5IOR6PG1k+ez4aWVFRNFqtHG1uF0JNIBAIBKNOKLyriqKQNbGYB9a8Exgbub2tGloqiTpDj6CsUROVFE9U0ql/Mw9v283DN32vX1lUUjyphbmkFeaSWphD2vhxRC+eHzhu7+6het9hqsp8492Olh2g+Wgt+z/dzv5PtwfqmWMifVkmJ+ShMxn4+Pk32Pz6Wi649ctceNs16MOMqFQqJp4/h+LzZrP/0+2s+ftzHN62m9f+8ATvPvkC591yNQtvvAJj+OkFsyzJTIucwab2DXS5LbxRU8aX0idhkPuHMkuSxD0P3cmdi77PR298ypxLZrDw8jmDua0CwYgjxqgFmZ/eeztxk5ZjjEpG8Xq4+IIikpNCG26445N1PPW7nwf2f/7Yf0jODE2K/sHg9Xo5enAfWQUTAGi2Wnm+rBSVJHHbhdNQhyh8VCAQCASCYPJ+40HKOhuYnZzM/LSRnfvU6/Xy7E//gNfrJbUgl9TxuaQW5BAWdebjIns6u6jae4iq0gMc9Qu4trrGk9YPi45kyV03Mu+6ZWiOm3/08PZS1j7+HHs/+QwAfZiJhTdeznm3XI05+vTvU3aPjU/a3sfp9ZCkD+fK1CLUqhOTlXz4+kZ+/41HMUeF8fj6PxGTMLCXc6QRY9RORIxREwSF8ppakmfegMZgxmmzUPHJM3z5ssdCbRYfrX613351+cExK9S8Hg/PPvo7xhVPCQi1WKORMK2WbqeT2tZOMuKD8zAVCAQCgSCUdDhtAGfsURsMKpWKrzz4PyPSljHCTMHsEgpmlwTKuto6qCo7wJFd+1nzxHN43Z7Ase62Dl757d9Y/8yrLLvnVqYtPT8wXjV3ajG5//g9R0sPsPbJ59n13gbWPvE86595lXnXLOWC264hMsGXsfbQZ7tJys3oJy71soFZUQvZ2LaeeruFNfUHuDS5ENVxY+gWXj6HjW9v4ZO3NvN/P3qCX634ScjGZArOXYTrIUgcrm/lvb01aAxmrG217H3nUSxNlWxdtyakdtUdreDQ7h39yqrLD4bImlPj8bh5+qFfs/n9t8kuPJbhUZIksiJ94uxo84nx9AKBQCAQfBHpcPUKtdANnxgq5uhIJiyY6Zu6wS/SJEkiLCqCpHGZ5M2aQtakQqrLDrJ/4/YTzs8ozufrf7mfn735FNOWXYDL4WTdiv9y34U38cKvHqG1poG6gxU8fNN3aa9v6n9tdTgzIuciARXWVj5qKj9hbkJJkvj27+4gKi6CLe/t4L2VH47WrRAITorwqI0yiqKwvaKObeW1gISttZIjG5/H2dPBBVdex74dWznv8mtC1kuzdd1aZi9ext5tm+lsayEpI4vqikMhseVUuF0u/v2H+/h844eYzOHEp6T3O54dFUlpUyNHmtqZPz5T9HoJBAKB4AuNy+uh2+1L5z8aHrVg4HG5yZsxmZJLFhEeE0VYdOQZz8uWnJfFVx+6l6V338J7/3iBLW+8x4YX3+LTl1cTn5lKQ3kVf7rhHr79zwdJzD727hCtjWVKxHR2dH5GaWc9Zo2OacdNiB0RE853/ngn99/6Bx7/xdNMmltEQlrciPztAsFgEB61UcTt8fJBablfpEFKrJo77voykTG+bFnzl17FXfc9eEIvTjBZfvPXuPm79+LxT1r6oz89ybwll4XMnoFwOR08+Zt7+XzjhwBkFkw4QYilhkegkiR6HC5aLD0hsFIgEAgEguDR603TyzKGIU5PEGpkjZrCedNIK8wlIj5mWJNnx2ekcOMDP+RXa59h4Y1XIKvVNJRXAdBe38Sfb7iHI7v39zsnSZ/CeHMxAJ+2HGGf5cRxc7MvnsZF1y6ip9vGw9//O16vb546p2PgCcgFgpFECLVRosfh4q1t+zjc0AbAnBnZXLR4OhqNhrBwX6y01dKBLKtDOk+QrFbjcjnptnSgN5rQG01MX7Q4ZPYcj9Nu5/Ff/4SyrRsDZVn5J05srVapAnOqHWlqD5p9p6OjqYmOpqbTVxQIBAKB4AzoOz5NRJEcIzo5gSt++DUK5/WfrNraYeHRW3/Avg3b+pVnGXPINuYC8H7DQfZ0NpzQ5l2/vpW45Bh2bihj1Yp3OXqghpf/9sbo/RECgR8h1EYYr1ehrKqR5zbsorHTiixLXHzBePJyEwJ1TOE+QdHd2RkqM/thaWsFIDJmbLnz7bYe/varH7Jvx9Z+5X3Hp/UlJ8rnqSxvaB11205Fj8XCpjfe5K/f/DbP/PK+kM83JBAIBIIvHp0uOwCRZ2nY42iy5Y33sHf3EB7X//fX2WPn79/4GdtWr+tXXhA2gVR9OgrwQeMhVtXuDQhhAFO4ke89/A0A/vnrZ3n4B3/nk1WbR/3vEAjOTl/5GKWqpYNNB6ppt/q+3JERBs6bn09EeP8JGXs9at2WsZH4orOtBYCImNgQW9Kf1oZ6pi+6CIeth6pDvnAFSZLIyB8/YP2UcN+8MpYeB4qiBLWH0Wl3sHfjRna8+x57N23C43JhiojgByv+jXyWhqQIBAKBYOwifGgnZ/51y5l/3XIAeizdNFZU0VBeRWOlb736LyuwdVkDdSRJYmL4FIyykYPW/VRYW6m0tjIpMoUZMWloJZmMvFRKFkxkx8e72b/dN5a/7kgDyZmJIfs7BV98xBvkCNDWbWPTgSqqW30eMllWMW1KBvm58QOGNYZF+D1qlrHhUets9Qu16LEl1FKycjCEhfHy4w8jqVSk5+bjcjoxGAee/643Rt+rKLg9XjTDiHUfDIqicPCzbex49112f/gRdqu13/Eb7/sFUQkJJzlbIBAIBIKhY1L75hezupwhtmRsYwwPI2vyeLIm9+/kdTmd/Tp1JUliXFgBifoU9nWV0exsZGdHLWWd9Uwgmmdue4Law3X92ti05jOuvmt50P4WwbmHEGrDwOZ0sa28lj3VvjFIkgTj85OYWJSKTnvyW2vqM0ZtLNDh96hFjjGPGsCbK57A5XQyd8llLL3hdj586+WT1lWrVKgkCa+i4HC5R12oSZKEWquhpbb2BJF24S1foXD27FG9/lDxer3Yu7uxdlrosXRi7ezE43IzYd5cVPLo3jOBQCAQjAwBoeYUSS2GwvETafdiVpuZETWbZkcje7vK6PZ0sYsWFj59I0dWbOPTf6wP1N349lYh1ASjyjkr1FotVvTDeLbVtlnYcrgGr9eXsTE9NYppkzMIPy7McSACoY9jZIzaWPWoVR3az9Z1a9AZjCy76WtERMew/Oavn7S+JEnoZBmb243D7SEsCDZGxsfjcfX/IOVMmcKSO24PwtUHx0cvrmTnuvX0dHZitVjosVhQ/FmrABIyM/nq734jRJpAIBCcRRhln9DodgmhNhrE6RKYr42j2naU/d2ldHjsRN5UxPILclj/k//SfbSdfdsO0t7cQVRcZKjNFXxBOWeF2huf7UfWDn8AbnSUkeklmSQlRJy+sp8wfzIRa9cYEWpjcIyaoij896m/ALD4SzcSER0DcNrxXjq12ifUXO5Rt/Hz9z/gpd8/iN1qJT49ndb6egxhYdx8/31jalzanCuvoGzDBpqqqk44VnLRRVzzPz9GZzSGwDIf3e3taA0GtGJAvEAgEAyaXo+aw+PB5fWiCWEG6S8qKklFhjGLZH0Kh60Hqew5jCfJwIIVN1L91h72P7WJTWu2cenNF4baVMEXlLHzNhlkDAY1aq1myOdrtWomFCSTkxWHSnVmQ3rDInqTiYwRoRbwqI2drI+7N3/CodLPiYyJ44Irrx/0eXrZ95EeTaHmtNt57ZFH2fzGmwDMWLqUq37wPf5y5ze47O5vExE3Nu6jw2Zj17r1bF39NuWff97vmKxWc/l37mbel64OeVrnQ9u388wv7kOj1WIMDz+2RBzbjk5KYuaypWh0upDaKhAIBGMFnUqNLEl4FAWr00WkXjwfRwuNSkuhuYh0Qyb7uvfQ6Kgn7bIiki7I4/MNNVyseJElIZQFI885K9SuXF5y0qQUo00gPf9YGaPW2gyMnTFqHreb1/71GACX3XrXGXladP5xaQ6XZ1RsqztczjO//CWNlUfQGY18+cc/YurFvnnnrr33f0grKBiV6w4WRVE4WraHLatW8fn7H+Do8U3+bQwPR1ar6WprIzI+nlt+879kFg08zUEwcbtcRCclkZKXR+3Bg3S2tNDZ0hI4LqlUzFq+nImLFgZdpHk9HtY89U/0JhPxGRkkZGYQnZQ0prylAoHg3EWSJEyyFovbgdXlFEItCJjUYUyLnEmrs5m9XWVYTJ2YL87mPxXbmJ+QTbYpJuSdn4IvFuKNIwSEmf3JRMbKGDV/6GO4P7ww1Hz89ms01VaRlpvPjPMuPqNzderR8agpisKnr73OG4/+Hy6nk7TCAr7y6/uJTU0N1AmlSLO0trLtnTVsWbWapqNHAd+PeMGsWcxctpSi+fP4+z3fJSk3h5t/dR9hUVEhsbOzpYWjZWUcKS2jsrSMmgMHcDsHzliWN2M6l999N8m5OUG20odKlsksLuIfP/hRoExWq4lNSyUhI4N4/5IyLpfk3Nyg2VV94AAAyTk5QjQKBOc4RnWvUBPj1IJJjDaOedGLqLFXsa9rFxaPg9V1+0g1RDAjJh2DPPSIrR6H7fSVBOcM4lc+BGj1erQ6PdZuC16PJ6RJHBx2GzZrN6bwCDSagTMgBZOeLgtvP/dPAK6+4+4Bpzc4FYHQR/fICbUei4WVv3+Q3es/BGDR9dez9Bt3otYM/UE8EnjcbvZ+uomtq1ax99NNeD0+L2JsSgozli1l2iVL+k0PMHPZUqYtWRK0z5vH7ab20CGOlJVxtHQPlaWltDc09Ksjq9VkTBhPQmYmW1e/DUBCViaX3/1tCmbNClrPpMftpq2+npaaWlpra2mpPbaWJAlFUQL1GiuP0Fh5BKPZzJyrriR/xvSg2NiL3mjiDzfdjASk5OWRPmE8GePHkz6+kJiUlKD35na1tSFJUsjEv0BwLtM7Tq1bZH4MOpIkkWbIIEmXzOGeQ1RYD1Jj66SmpnRY7bqsYroFwTGEUAsRYeERtDU30mPtDmSBDAWdba0ARMaMjXFV76xcgbXLwsRZ88ibWHLG5x/zqI1M6GPl7lL+c999tDc0YoqM5MZf/jzkafcbKivZumo1n72zhu72dsAn/iddvJiZy5aRPXnSgC/rM5YuHVW7utraOVJW5hdmZVTt24fL4ehXxxwTQ1ZxEZlFRWQUFZFWkI9Gp6P040/Y++mnLLnjDmZdtnxUPEWOnp5jAqymrxiro6OxMSB0T0d0UhILr7uWmcuWjmoSFo/bTXdHB9aODrrbO+ju6KC7vZ3u9nYi4+Joqa0N3O9eTBERpI8vJH/mTOZedWVQOhNUsprfXnMtEbGx5E4tIbekhJwpUzBFhI/6tY/HbrX6sr+GMDmOQBBMTHLvXGpCqIUKtUpDQdh40g2ZHOjeS6uzGWUY7YmhboK+CKEWIkwRkbQ1N2K1dARVqHk8bjrbWomO83laOv3j08ZCav6W+lo+evMVVLLMlbd9a0ht6ANj1IbnUfN6PHzwn2dZ89Q/8Xo8jJs6lRvv+0XIEoXYrVY+f/8DtqxaxdGyPYHyzKIiZi5fyuQLLkBvCt6YS4/bTUNFBZWlx4RZS21tvzoqWSa1IJ/MoiKyiovJLC4iKjFxQBEZGR/HvS+txBA29EkVFEWhu70j4Alrqa2ltaaWlpoaWmprA6J2IDQ6HfEZ6cSmpBCbmkpMSgqxKSnEpKTwzC9/Sc3+A6QW5HP+jTcwcdGiIQlJt8vlF13tftHVERBiXe3tWHvFWIdvu6er64yvkZSTzdSLF1O8cNGIiTSvx4PTbsfR04PTbsdps+Gw2XHabThtdhw2G6n5eRz8bBv1FRV88vIrSJJEcm4uOSVTGDe1hJzJkzGYzSNiz6lQyWoevPEmYlNTKJw1i/FzZhOXnh50L6Pb6URSqURoqmDUCXjUhFALOUbZyJSIacNux2awspq/jIBFgi8C4lckRPSdSy0h9TSVR5D2pkbWvfES19z1PWBspeZ//d9/x+12sXD5l0hIzRhSGzp/6KPTPXSPWmdLC8/d/78c2rYNlSxz6Z1f54Kbbwp6iKrX66Vi5062vLWaXevXB7xT5uhopl2yhJnLlpKQmRkUW6ydnRwp28PRsjIqS0up2rsPp61/HH1YVGTAU5ZZVERaYQE6w+nnFYTBj+/zejx0NDUFPGItNTX9QhUdPSeP7TeGh/vEV2qKX5ClBARZeGzsgC/zbfUNmKOj+eZf/4/ckpJ+ddxOZx/B1e5bt7f7xFjv0tYe2LZ3dw/qb+xFZzQSFhVJWGQkpsgowiIjfftRURzavp19n24Cjn0eShZfhDk6GqfNTnN1Fc7jxJTTZjsmtOx2nH7h1Vd0Oe02HD3H6jnt9pOOITwViqJQe+gQtYcOsW/TJqYuXsz8L38JrcGA1+NF8Xrwer0DbiuKgtfjK1P85V5/HaV32+M/dty24lXInDCBHe+9x8Gtn/HG//2FmJRkCmfNonDObHJLSoI2DcSfb7ud1Lx8Jp63iPzp01CfZHLd0UJRFJHU4BwgMOm1S4TLCQRfRM5ZoeZyOEKW9RGOzaXW1XnyXv7RoKmumo1r3+SS62/FHBF1LPQxxB41S3sbe3dswWAKY+kNtw25nZFIJvL6I49yaNs2ohITuOlXvyJ70sQhtzUcNr3+Bq/88SHA550qWjCfmcuWUjh7dlB76o+UlvHo1+/sVyapVCSPyyWruDggzGJTR3d8VFdbG/dffiWeU4w/jIyP7+MNSyY2NZVYvzAbikcnMiGer//poX5liqLwi0uXYe04s6yt+rAwn9jyCy5TYDvKt0RGYvILs7DIyJNmuVQUhS1vraJw9ixaamppb2xk/XPPs/6558/47zsdKllGbzKhNejRGYy+8bUGA1qDHq3eX2bQs/vDj07wWPZ2bLTU1LLmqX+y5ql/jrh9g6G1to4N/32VDf99FUmSiIiLIz4zA61ejyyrkdVqZI1/rVajUqv95XL/sn6LjCpwriZQ1nt81/qPaKurp+7QYbauXo1KlomMjyc+I4Ok7CxMUVHojUb0JtOxJczUb3+433G71cpj37qb7o4O4jPSiUpMJCI2loi4OMJjY4mI822HRUaOeidU1d59vPbwIyTl5JCcm0NSTg5JOdkYw4MbHttjsfCfX/6KCfPnUTR/HpHx8UG9fi9er5e3H3+C2VdcTkxy8rDa6g19HOoYtcPbdpM9ZUJIx8oDeFxuVGpZdC4Au97fGGoTBGOIc1eoOR2nrzSKfPnO73LtN3+AwTT0UK+h0FxXi8vhYP3rL3HZLXdy/hXXMvOCS0L6cPR6PNQfreD+p1ZSU3GYsIjIIbdl84d/qOWhB3lf8d170BmMXHb3t4L+ItGXiYsW8elrrzNtycVMXXIx4TGhycqZlJNNWFQkaYWFgTDGtMKCoIZaApgiI9Ho9URHRwXCEntDFWNTU4hOShrxFP4DJbORJMk355vZ7BdWx4msqD7er4A3LGLEPCpOu507H/kzUQkJPPSVW/G4XOiMRrQGA7peIaXXozUa0Ol7RZXBL7YMx4771zqjof9xvR6twYjOoEfWaAb1bNj5wboTyhRFQaVSIcsykiyjUqlQqVSn2FahUslIKsm/VqGS/cdU8qC2q/buPSFhzfE2dTQ10dHUNKz/wZni9Xhoq6+nrb6e/Zs3D+ocjVaLPiwMvcmEztRH1BlPFHV6kxG9KSywrfOXSyrVaf9elSxjjo4mIi7OL+Ri+wm58NhYImJjMZjNZ/Q7UV9RQXtDAwWzZlFz4MAJ4ynB17GSlJPdT8DFZ2SM2tjKvZ9uYv+WLezfsoX/PvQn0goLKF6wgKL580nMzgra7+C2d9bwwX+e5eOVL3HhLV/hvBtvGPKzK1rrG4/Z1NOD1eXCdAb3bvVfn+Htv67gih99nYtuv3ZI1x8J/vb1n7L/0+3ct2YFsalJIbPjwau/QXtDEz/57+NEJYZu3L6luS1k1xaMPaTebGbnCpIkhQOdf3rlvZB61ELFK08+yrrXV2IwhfHAitfGxD2oLj/I2y/8mzt//rtht7X28GH2t7YwNSeF6eOCGFP6BWeshFF5vd4zzgQ6KnaEOFtrL26XC1mtDun/xml3cGDrVsZNLUGj0yFJEpJKFRKbnHYH//zRjzm0YwcZE8aTN306uSUlhEVF4nW78bg9eNzuPosrUObtV+7G43HjPa7+CXX6LZ7AcZfTQVtdPa11df3skySJqMREopOTCI+JRavTYe+xYrf2YLdacVit/fYVr3fE75FaqyUyLg6tQY+9pwdLS+ugwls1Ot0xj1xcbH/vXEDgxaH1z+XlsNm4b9lywqKimLF0KRkTJtDR2Ejd4cPUl1dQV14+oFdaJcskZGT4vG5+8Zack01kQsKgP1Mne145bDYObNlK6ccfs3fDxn7jQGNTUihasIDihfPJLCoa1e+3tdPCO08+yaevvY6iKMSmpnLV979H4exZQ2rvxarPabB3cX56OtOSEgd93uHtpTxy0/eQ1Wp+/MpjpORnD+n6w+Xxb/yc0vWb+OY/fseE+TNCYgPAzxZeS0djC3/c+gbG8OB2ovfF1m3lh9MuA4hQFMUSMkMGQe879cGjv8EcPnph5V0WO3kZP4Oz4J6MNOesRy0U2G096PSGkL5UNdXVAGCzdvPJ6ldZ/OWbQ2ZLL4fLdrJn66dYuyyYzMPzYNV1+354EyND95D9IjIWRBoM7OEKBWNBpAEhnyICQKvXUbxgfqjNAMDrcTPtkiV85YFfY4oIXTZdgL9/5x5a6+qISkwgf+ZMCmbOIG/atEGH4CqKgtNmw249Jtx8S3d/YRc43n1C3e729hMyr7qdTlpqa4lMSGDW8mWcd+MNuBwOOptb6GxuxtLiW3e2tGBpaaHDX9bV1h5I0nMqDGZzwCun0elpra3jnSf/gUarZcpFFzL3qqtIH1+Ioih0tbVRX17uE25+AddQWUl9RQX1FRXw3nuBdvVhYSTlZJOc0xs66QufHCgB0St/fIi86dMoXriw3zNDZzAwcdFCJi5aiMftpnL3bko/+pjSjz+hpbaWD194gQ9feIGwqEgmzJ1H0YJ55E2fERCfI4UpIpwv/eiHzFy+jFf++Ceq9u7lye//gImLFnLFPd8hKnHwYgugMDyBBnsXe1pazkio5U4t5sLbr+G9p1ay4ie/58cv/Q21NvjPlPisNFi/iabK6pAKtZ6ubiRJQh8mssYKxg5CqAWR8rJdqDUa8icPPyvQUGmurwlsr3t9JYsuuwbtCIeLnSmHy3bidrv4fMM65l1yxZDb6XY6sfhfShKihFATCM419CYT0y+9JNRm0NnSwvg5zZ5K3QAAIABJREFUc7jq+98jPiNjSB0dvdMM6IxGIoYQheX1ePjzbXdQe/AgAPHp6WRPnkT25MnkTJ5MdJ8Xeq1ejyki4pSTy3vcbrra2k8QcoFtv9Dr6erC1tVFQ0Vlv/NdTidbV7/N1tVvk1ZYwLyrr2LyBReSP2MG+TNm9LtOS00t9eXlPvFWUUF9eTmttXVU7tpN5a7d/dqNSkwMeN2ScnNJyskmPCaGp+/9Ocm5uVx8+20UL1xwwv9AVqvJLfFNJ3HFd++h7tAhSj/ZQNlHH1N76BBbVq1iy6pVaPV68mfOoHjBAsbPnXPSDoChRB2kFRRwzz+eYMtbq1j12N/Z/eFH7N+8hYu+eiuLrr9u0B0xeeY4Pmw6TGNPDy09NmKNg0viBLD0O7ey5+Ot1O4vZ/VfV3D59+84o79hJEjI9EW/NB2pOU3N0cPjcuPssWMIDxszHYICAQihFlSa6qop3boxZELN6/HQWn8sFMfS3sam91axcNnVIbEHfD9uh8p2ArB13dphCbV6fxhLjNmIdgSTbYyVsD+BQHB2EBEby8LrQjfmB6CytJTsyZO46NavkD1pEubo6GG1J6vVRMbHERkfBxSetJ7T7sDS0kzd4XKe/tnPTwjfjIiNxRwVTUtNLVV795JbMuWE6yRkZpCQmcHkC84PlNutVp+3rY/3rb68nPaGBtobGti78cQEDHWHD/Pvn95LyrhxXHzH7RTNnzfgs1ySJFLy8kjJy2PJ7bfR9v/snXd4FOX2xz+zNW3TeyekAKF3EBDpCggqqFhRrNdr791r7+1nLwh2rw0LXVHpvUNCGqT3nk2y2TK/Pza7JKEm7M7k6nyeZ59kJ7vznmxgd77vOed7iovZv249+9auJWf3HnvW7a+1qNRqEgb0t5dIjhtLYMTRfqoVH37EoMmTCO/R43RfUsBeJTBq1vn0H382v777Hlt+/oWl777HtqXLuPDuu0gZPuyU5/BUa+nhHUiOsYqDlRWM84o57fW1Oh1Xv/ggL879F6s/+oZ+40eRMDi1U7/DmRLawx5v6WH5hFpTgxEAL4OyyavQvVCEmoSUFRWQvmsbeZnpxCadnh25K6muKMNiOeoMpVKr+e37LxkzbZZs835KC3JpqLX3KWQd2ENlaTFBYV1rJnaWPbowm2a1WNj9++8MmTrVZedUUFBQcDc9WzNnUqPz0BMcHc3qRYsJjo4iulUARSUnEZWUjCEwoEvn9fD2Jr7VYdaBKIrUlle0lk9mU9T6tSTncLsB9oWZmSy8/wG7ELvuWlLHHF+wOQiMiGDcxXMZd/FcjLV1HNy4kf1r15K+eQtZO3eRtXMXS15/g8ikRKcZiampiZevvoZzb7iec+Zd2unyaG8/Py554H5GtpZDFhw6xHu338HAiROYddutp3So7OUbZhdqFZWMjY7u1OZidK+ezLh1Pj+9+hGLH3ieB3/8AA/v08/KnSlhPewZtdLD+ZKt2ZHGOvv4FE8Ze9MUFI6HItQkpKwwD4BV337OdQ89Lfn65cWFxCf3wS8omD2b1jLnhtsJj46jtqqCwNDO1cS7isx9u9vd3/bnKqZdcnWXzlVU7+hPc91g3e3LV3B43z5FqCkoKCicJqIocuFdd6L3cm+vjyAIziyfw4ijqriEl6+eT1OHgfFavR5zczPrvvue2vIKRs2edVolbt5+vgw7dxrDzp1GS7OJjG3b2L9uHQfWr6coM4uizCxWfrwQtVaL1Wzm17ffYd9ff3HZo48QGhvb6d8pLjWVOz/+kE0//czS995n9+9rOLhxE9MWXMu4Sy52bqrWV1W1y5ImeAehFgTqWlrIr68ntpOOxZMWXMy+PzaRs+sAP770PvOeuKPTsXcVQ1AAngZvakrKMTU2oe9E6aaraHIINYP8BmsKCm1RhJqEOIw8dm34g7LCfEKjTr88wRWER8dx98vvsX7FT+zZtJaK4kLGz5wjaQwdydrfXqhtWbOCqRdf1elSQ7PVSpnRXroQHuAaoWa1WFi1aDHBUWc250ZBQUHhn4Sjv04O9v31FyPPn4l/WCgBYeEEhIUREB6Gl6/vGZew6zz09G2dwWazWjmy/wD719rLItuarOTuP8DLV17N9JtvYuzFczvd86RSqznrwgsYcM54fnn7XbYuXcrPb73NlqVLmXPP3SQOHszXzzzHlGuvIS61DwAalYpehjAO1JVwoKKi00JNpVZz1QsP8Ozs61n/9S/0nzCK1HEjOnWOriIIAqE9Ysjdm07ZkQJi+iRJsm5bGuvswl5Ot0cFheOhdExKhNncQlWZfb6PKIqs/v4LyWPwDw6x1/9HxwFQWpAneQxtEUWRzH27EFo/xDw8vSjNzyU/O6PT5yo12nfDvPVafDxcM69q+4qVVBUVUV1S6pLzKSgoKCi4l7MvvYTz/30L4+bOpd+4sUSnJOPt5+fyPmNHv9r5t/6bwVOnHPNzc0sLS954k7dv+TcVBV3rvfIJCGDeIw9x2/vvEZmUSOnhI7x9y6189vgTlBw+zIf33EtZbq7z8b197eWRBysqMXdhtENIbCQX3ncTAF88/AoN1bVdirsrhLX2qcllKNJUb9/o9VR61BS6GYpQk4iK4qJ2TdVbfltOTWW5LLGERdvLMUoLck/xSPdSW1XB8AnTuOrOhwHoN2IMj7735TF20qdDUb1dqIUHdG4o64mwWiysXrQIgOrSUmxumGfkCixmM1aLRe4wFBQUFP6RlOXmYqypYdTsWYw8fybDp09n2HnnMmTaVAZPnoxfcDCrFy3uslgD6NG/H3ct/JgL7roDD29vdq5aTVVxMcaaGt674y5qy+3XElGefhg0eqyiSHZ1dZfWGnPJDPqMG05teSX/ferNLsfcWULj5e1Ta1J61BS6KUrpo0SUF7V/87FYzKxZ8l8uXHCL5LH4B4Wg9/CksrQYc4sJrU4ee37/oBBmX3Mzh/bsAOxz5iJi47t0Lkd/WpiL+tO2r1hJZaHdIdPS0oKxpuaMXdNcjaWlhf++8CKXPvyQ3KEoKCgo/CMJjYtjzr33uH0dtUbDuLlzCYmO5sN77nNu/FaXlPD+nXdz67tv42kw0Ms3lG1V+RyoqKRXUFCn1xEEgSuevodnZi5gx7I/6T/hLIbOmEBNaTn+YV2YE3GahMns/NhY7+hRU4SaQvdCyahJRFlRPiERUfgFBgNw8c13YbWYMZtbJI9FEARCo2IQRZHyIvnscB14eNp7GZobjV16viiKlLjQ8bFtNs1BVXHJGZ/XlbQ0m/j4/gepr6pWZr4oKCgo/APIPXCAb198+ZiRB8XZ2Xx03/20NJvobQgDIKemhkaz+XinOSV+oUFc+p87Afj6yTeoKirl/VsedzojugOH82OZzBk1pUdNobuhXOFJRExCMg++tZj4Xvb5JMHhkcy98Q60Wtf0U3WW7tKnBuDhZXdZ6qpQq2xqwmS1ohIEggxn3sC+Y+XRbJqD6pLuI9Rampv5+L77SN+8mbi+0s67UVBQUFCQh7jUVB794Tse+u/XzL3vXgZOnIBPgD8AObv38PnjT+Cv0ROq90EEDlZWdnmtwdPOZuiMiTTVNfDKvNvI23+IfX9sctFvciwhcfaRAmVHChBF0W3rnIimekWoKXRPFKEmESkDh+Lh6UVoZOuuUaF880KgTZ9aYTcSak2NXXr+nlK7iIoM9EV9htklq8XCgfUbGDPHPgRcq9Oh1mq7jVAzNTbywV33kLFtOwDxqd1bqCn9cwoKCgquQxAEQmJiGH3BbK5++imeXPor933+GRfceQciIkvfe58+vvas2tr8fBpaOl+1I4oiGVt2E90rAYCa0goA9qxe57pfpAM6Dz0BEaE0GxupK69y2zonorFW6VFT6J4oQk1iQqO6h0A6aijSHYRa10sfKxsb2V9WBsDgnmduo69Sq7nmuWcZNGkiAHH9+nL7B++h1mnP+NxnSlNDA+/dcRfZu3Y5j8X26S1jRMfHZrWy98+/+PSxx7F04SJBQUFBQeH0EASBiJ4JjLt4LgteeJ7pN91IqiGUEL03FpvIysNHOp2hEgSBpvoGlr/zebvjB9dto9nY5Mrw23G0T036jWylR02hu6IINYkJa52d1m0yat1AqOn0HggqVZeE2vp8e/zxoQFEBnZubszxcDhGFmfnABDRsycxvXoxbu7cMz73mdBYV8d7t93BkX37nMdC4+Lw6uSsHHfS0mxiww8/8vy8y/nkwYcYMmWKbLOUFBQUFP6JqNRqtBotU8N7IQDZNTXsr6jo9HkGTBrDvf99i9C4KOcxs6mFg+u2ujDa9sjp/Hi0R00ZeK3QvVCEmsQ4MmpyC7W2mT056sHbIggCHl7emFtaOlUql19by5GaGgRgZIprh4c7hVpCgkvP2xWsFgs/vfl/NNS2n2kT30360xpqaljx8UKevOBCvnvpZcrz8xlwzjmkjjlL7tAUFBQU/pEE670ZHdwDgFWHj1DXhbE3EYnx3PvtO/Q9++jg692r3Ff+GNphlpqU1yZNSkZNoZuiCDWJMfgH4OHlTXV5KS3NzbLFoffwxD84lKaGeuprujZvxZU4nR9Ps09NFEXW5dnnwKXGhuHv7enSeEpyuo9QU2s0zHvkYWbcfCNg3zEFe2O5nJTnF/DdSy/z5OwLWfnRxxhragDw8PbmgjtvlzW2joiiSHVJCWmbNvPnV19TeuSI3CEpKCgouJUhAdFEePhiFUWW5RzukvDx8vXhxnefZtrNVwCw/8/NmE2uLWm3mi1YzZZ2zo8H121j7Zc/uXSdk9FU1zrwWulRU+hmKEJNYhzW+ADlxYWyxtJdBl9D5/vU0isqKG9sRK0SGJIYdeondAJRFCnOzgYgPKGHS8/dVSwtLfz6znsAXPrwQ0QmJsru+FhXWUFjXd0xA8pn/Otm/ELcN2/nZNhsNiqLijiwYSNrPv+Cr55+hteuvY4HJ03myQsu4oO77kalVhMWHy9LfAoKCgpSoRIEpoanoBIE8urq2Fla2rXzqFTMvP0arn/zCURE0jdsd22ggsArl93Gn5/9CED6pp28ff0D6Dw9XLvOcVj+7udU5BfRWN+AoFKh0WlJc/Xvp9DtEQThYUEQNgqC0CgIQs1pPmeRIAhih9sKV8emCDUZCHOWP8psKNJNjE3gqPNj02kINYvNxh95hwEYmhiNp4uNPuoqKmisrycgPBwP7+5Rr77uu++pKi4mrm8qQ6dN5Yr/PE54D3lFZHzfvnj4tN99jOubyqjZs2SKCJobGvjxtdf56J57+eXtd9i6dBl5aWmYGptQqdVc/vhjjLtY3n5DBQUFBanw13lydkhPAP7Iy6OqqetmIAOnjOXeb96mMOOwq8IDQK1RM+qic9n/52YALC32+W+OnjV3Yqyu5anzrsXcbN9wfHTCZRxY674+PIVuiw74Fni3k89bAUS0uc1zcVxoXH1ChVPjyKiVym0oEtN9Zql5tgo1U+OpSx93FRdjttjw8dDRLy7c5bEUd6OyRwBjbS2rFy0GYNatt9pdvmSOzdTYyOJHHyNt4yb0Xl5EJCSQl5bGxfffL+sAbi9fX86+9BIO79lLY32987hWp+PqZ56WpW+updnEF08+SU1pGWqNBpVajVqjRqXWtH5Vo9ZoGDFjBr1Gjjj1CRUUFBQ6QX+/CLIbKshrrGFpdg6Xp/ZB1Wqc1Vkik+IJc4OAGnnBVJa9/Wk7a/6Q2DN3cj4VCYP78senPwAg2mzUV1QzYtZkt6+r0L0QRfFxAEEQ5nfyqSZRFN06v0kRajIQ6nR+VCz6Heg9T6/0sdFsZnOhvdF4eHIMGrXrRcFRx8fuIdRWLfyEpvp6BpxzDj3695M7HOoqK/nw7nspOHQIv5AQbnj1ZUqP5FKYkUFkYk9ZYhJFkYxt21j1ySJydu9p9zMPb2+ue+lFeg4aKEtsOg89U66Zz+vX3XDccQVBUZHMve9eUoYPlyym/evW4+njQ0hsDIbAQKfbqYKCwt8PQRCYHJbCoiNbKTYa2VJUzKiorosgtdb1l45avY4J8+ew5KUPANB7eWIICnD5Oh1JGNS+hSAyuQfRvRPdvq7C34bxgiCUAdXAGuARURS7Pmn+OChCTQbCuonzozOObiDUTrf0cUtBATZRJMTXm6SIILfE4jQS6QZCrTw/n/Xf/4Bao2HGv26SOxxKjxzh/TvvprqkhIiePbnh1ZfxDw3FPzRUlmyVKIoc3LiJ1Z98Qu6BgwD4BQdzzhWXs2nJTxhra7np9VeJSk6WPK6y3FzSNm0mfcsWcnbtPkakqdRqxl82j6nXXoPOw/29GB1561+3AKD38iIkNobQmFhC4mIJjYkhJDaGkJiYblP6q6CgcGYYtHomhSWzsuQQ6wsK6OnvT6h39xqfMvaSmax8/0ua6hoIjY+SZAPJPyyYoOgIKguKARgxe4qycdUFDhvT8Fbp3HZ+o9H5+Wno8PcxiaLYeUtT17AC+AE4DPQEngWWC4IwShRFq6sWUYSaDIR0k1lqASFhaPV6KkqKsJjNaLTyDXV2lj6exPWxqqmJvWX2ZuiRKbFuezN1lD6Gd4PSx1/feReb1crZl15CcLT76/VPRtbOXSx84EGa6utJHjaU+c8+g2drj5rU89xsNhv7165j9aLFFBw6BIB/WBiTrrqS4dPPQ6vXk7VjBwtefJ6QGNeObjgRTQ0NZG7fTvrmraRv2Ux1ydHGfbVGQ0hsDOV59v/zMb17cckD90smIG1WKzVlZZTn51OeX0B5fj4e3t40G42YGhspSD9EQfoh5+PjUvsw8cor6TturNsvWnauWs2u334jccgQkoYMIaJngnKhpKDgBnoZQslqqCC7oZKl2dlc2TcVjYyl6h3x8PHi7Mtns+LdzwmOda1J2MnoOaQvlQXFCCoVw2ZOkmzdvxMNmkmIGvcJf6OmEfgcoKDDj/4DPHG85wiC8Dxw/ylO3VsUxfSuxCSK4tdt7u4TBGEvkA2MB37vyjmPhyLUZMDTyxvfgEDqqqtorK/DyyDNRW5ZUQFBYeGo1fY/u0qlIjQyhsLDWVSUFBIeEy9JHOm7t9Nr4NB2x06n9HFDnmO4tT9RQe55zWw2GyU5h+3OgHFxblnjdMnZs4e9f/6Fp8HA5PnzZY1lx8pVfPXMs1jNZoZPP4+LH7gftUb6tw+b1cqeP/5k9aLFTmfOoKhIJl11JUPPPbfdZsMV/3kCvadrxza0i8VmozAjg/TNW0jfsoUj+/Zjsx7dRAuMjKT3yJH0GjmCpCGD2bp0Gb+++x7n3XA9Y+fOcY5ZcGU8tWVlTiFWUVDgFGaVRUVYzeZTnqP3qJFMuOIKeg4aKIlYslospIwYzq/vvsf+desB8AnwJ2nIEBKHDCF56BCCoqTZWa8qtrcZBEa4vu9VQaE7IAgCE0OTyGusprypiQ0FhZwdK81G1uky/soL+P2TbyXpT3OQMCiVrT+tpveYofiFBEq2rkKXiAbq29w/WTbtFWDRKc6Xc6YBORBFMUcQhAogEUWo/e8TGhlDXXUVZUUFxKf0kWTNw2n7yNq/m9FTZjiPhUXFUng4i5L8XMmE2qZVv6JSqUjuP9h57FSljwV1teS0znsbkRzrttgqC4swm0yExcej0bkvjX8qRFHkpzffAmDKNfPx9pM2Y9WW9d//wPcvvwLA1OsWMPXaa2TJeBRmZPDpY09QlmsfJxESG8Pkq69m8JTJxxWN7hJpTfX1fP/qaxzasoWG6qMuvjoPDxJHjKDXSPstODq63evk7e/P/V987lIhsPzDjyjOyqa8IJ/KgkLMx+mBA3tGLzQ2luCYGEJiogmJieHgxk0c3LABlVrNoEkTmXDF5UQmdq03Y+vSZZTl5tJiMmE2mTA3N9PS3IzZ1GL/3tSM2WSipdn+M/v3ze2ErYOG6hp2/fY7u36zf84FhIcz6aorGXn+zFOK20Nbt1FRUICnjw+eBgOeBh+8DAb79z4+J/0/7eHtxX9mX0hsn94MO/dcBpwzHr1X13aIi3NyqCgoJCopkYDwcNkyhMbaOioKCojt01v2LGVNWRn+oaGyxgD2DQ05DY/kxkujY2p4L34tOsiW4mISA/yJMhjkDsuJIdCfMRdPJzROugqSnkPsvd8jZ0+RbM2TUVtWIXcI3Zl6URTrTueBoiiWA+VujseJIAjRQBBQ7Mrz/mOFWk1lubPcTg5GTp5On6EjMfi7v1nWQV11FX/8/C1Dz56MTq8HYPC4CUTE9XAai0hBfW01Py58m/te+8h58dCzTz/Ou+zaduLNQU1zMz9n2MuyUmNDCfBxX5ZE7+XJjH/djNZD77Y1Tpfx8y5h00+/MOaiC2WNI2FAf7z9/Dj/1lsYPn26bHH4h4VRW15GWI94plxzDQMnnOPyrNTpoPf2Jn3zFow1NUQkJJDSKs4SBvRHqz/xv5vBk11fUrPvz7+cpboqtZrg6GhCYqLtgizaLsiCY6IJCAtrJ2ZFUWTjkiWMnTuH8fMuJTAi4ozi2Ll6NYe2dM7SWqPToffyQqfX09xoxNTY3jY8KimJQZMnMXDiBIIiT293fcfKlWxbtvyEP9fq9XgaWkWcj6FVxPk4hZx/aChZO3aStWMn37/yKv3Hn83w886j5+BBnbq437lyFb99+hkAHj4+RCUmEpmUSGRiIlHJSYT36HHcfyvNRiPrvv2OsXPnuKQ/cMeqlfz46uuExMQweOoUhkyZQkiM9CXUu9f8wRf/eZJp11/H+EsvkSUbD3YTnV/ffZdb3vo/DIHyZE5sViubfvqZgowMLr7/PlkEdKJPML0NoaTVl/Hl7r1cNXggYTL2o/740vsYggKYMH8OKpWKidfMpabMpX4MJyW8ZyxB0REUZR6h6qOvGTtvFh7e7rvOOBV/fS7doG8FO4IgxAKBQCygFgTB4T6WJYpiQ+tj0oEHRVH8URAEH+Bx4HugBHuP2otAFrDSpbF1ZVL9/zKCIPgCta98t1pWoSYH333wBmuWfMOF1/2bSRdeJlscz/77agpyMlnwwFMMGTfxpI9taGnhs317aLFYCTJ4cf7w3uhd7DhVWVR02heC/1SajcZuYSxRnJNDWHy87DvimTt2EBITI3uG4MD6DQgqgZCYGAIjIk77AthiNtNsNOLj7++SOPb++Sc15eXo9B5o9Xp0Hh5oPVq/Ou7rPdB56NHq7TeHyLbZbDw/7zLK8/IJi49n0KSJDJo0kdAulB7v/n0NeQcP0lhfT1NDA0119q+N9fU0tx7rymdeQHgYQ6dNY9h5555Wz+POVavZ88cfFGZmUllYdMzPVWo1IbExRCUmEZmc5BRyvkFBvHLNtVQXlzDhissZM+eiMzKa2fLLr/y2+FMqCgudx+L6pjJ06lQGTpyAT8CxG4XuyDitXrSY5R98iCiKxPbpw7xHHpJ8DqQoiix84EH2r11H8vBh3Pjaq7K9jzx10Vyqiop48JuvCI2VbpO0LU1mE2/+8QP6+CjUgsDcXinEStxrDNBsbOLuITPw9jPw4pYlzuOiKEoqYveu2ciie56lpamZ1/YsQytjRU1JTh5PnXcNgN/pZo/kwnFN/X3GIrwNbuxRq2/kouT54KbXRBCERcDVx/nROaIo/tn6GBG4RhTFRYIgeAJLgEGAP1AErAIeFUWxa5PlTxSbItT+OSx84XG2/7Uab4MvTy78Dk9vn1M/yQ08eOX51FZWEBweyWPvf3VCE5Mms5nv0w5S2dSEr5ee2SP64KV3/ZvnJw8+xBVPPH7SbIiCgoJ7KDiUwd4//2TgxIluNxKx2WyYGhtpqm+gqb7OLuJaxVxTfT2rFy2msa79NYC3vz89+vejR79+JAwYQFzf1E7F2Gw0UpSVTVFWFkWZWRRmZlKcnY3ZdGxrhU9AAKIoYqyxl9QaAgOZeNWVjJ49q8vvT6IoknvgADtWrGTXb79jrK0F7GKx14gRDJk2lb5jxzgF4ZI33mTEjBkud709vHcfXz3zDOV5+ai1WqZdt4BzLpsnaXbNWFvLy1fNp6asjOk33cikq6+SbO22fPP8C2z+6Wcuuudu2SomLGYz902dSvjd16BLikMAZiUlkixxprHwUDbPzrqBuH4p3PftO5Ku3Za6iioeHDOXwMgwnlrzpWxxADQ1GLln6PmgCDUn7hZq3Zl/bOnjP5G6anspgbG+jt++/5KZV90geQyiKNJQa78IqSgpYt2yHzln1sXHPK7FauWnQ+lUNjWhVauYMbS3W0QawOF9+9n88y+MnTvHLedXUFA4MdEpyUSnSON+qVKp7P1rPj7QoVfwwIaNNNbVERIbQ0L/AXZx1r8fIbFn5jDr4e1NwoD+JAzo7zxms1qpKCigMDOLoiy7eCvKzKK2vH07RX1VFUtef4M/vviSyfOvZsTMGZ125xUEgfi+fYnv25fZd9xO+pat7Fi5kv1r13Fw40YObtyI3suTfmefzdBpU2mqb+C1axdwwV13MvL8mS4Tzj369+OexYtZ8dFH/PnV1yx99z32/vkn8x55mIg2DrvuzKR4+/lx5ZNP8PYtt7L8w49IGDiw3d9FKpKHDmHzTz+TuX27bELNZrUhNpmoe+9bRrz3HNnGSpZkZjG1RzwDJKwUqMi3t/MEx5xZ+fWZUp5nz3yHxEnnNqmgcDr8cztq/4HUVVc5v//9x6/b3ZeK5kYjVovFeX/ZV5/QZGxo9xiLzcYvGYcoNRpRqwQuGJWKr5d7sl0tzSbqKyv5/bPPjzuMWEFB4Z+Bf0gwTy37lYe++ZpLH36QETNnEBoX5xbRoFKrCY2LY9CkiUy/6UZueOVlnvh5CTe+/upxH19bXs53L73My1fPJ3v37i6vq9ZoSD1rNFc9+R+eXPoLlz36CMnDh9HSbGL78hW8d/udbFu2DHNLC/99/gU+e+xxmhoaTn3i00Tnoef8f9/Cbe+/S2hcHPlp6bwy/1pWL1qM1WJBFEV+/r+3ulSeerokDBjAtOsWYLNa+ezxJzDWSr81SjiNAAAgAElEQVQ5nzRkCACZO3Ye11BHCkSbfV2VTWR6ZB9Sfe0bFysPH2FzYZFb/wZtcQik4Bh52w/Kc+3lwVK6TSoonA5KRu0fhCOjBtBiamb514u45Oa7JI2hvtW50YGxrpZV337OrPn2Yc42UWRFViYFdXWoBIFZI/oQ6OO+dHpNqd2Su7a8nC2/LuWsCy9w21qdwWqxyNZwr6DwT0TqoegdaWk2sfa/35I8bCj+oaH4hYTgHxaGf2hI6/1QvHwNLhOOHt7eDDvvXIaddy61FRXsWv0b25Ytpygry/mYXb/9Tl5aGlc9+SSxfXq7ZF2A+L59uWfxJ6z4eCF/fPEly97/gL1//cX5/76FP7/6moCIcMbNneuy9Toy8aorydq1i4yt2/j6mWe49oXnJe2H8gkIICopicLMTAoOZbj0tT1dbDYbYM8yqwSBSWFJeGm0bKvKZ21BAY0WM+ecYTb5dHAMmg6WWSA5M2oSzm9TUDgdlIyaxBQczjr1g9yA2dxCY8PR0RP+QSFs+W0ZFcWFJ3mW66lvLXsUWpu4+w4bTfbBvdRWVSCKIr/l5JBdXY0gwPShKYT6ubePzjE7CeC3Tz/DchqzpqRg/Xffyx2CgoKChOg89Nzwysvc/OYbzHvkYc678QZGz55Fn9GjiUxMxNvP120XzX7BwYw8f6ZzgH1bKguLeOOGG/njy6+cF/euQKvXM/NfN3P7B+8TFh9PQfoh3vn3bQAsef1N0rdscdlaHVGpVFzx+GMYAgPZv2496779zvkzV/6OJyNpqH2WaMb27ZKs1xGb1f57Cq2mPoIgcFZwD8aF2MtQt5eUsjQ7B6ubX4/yvFahFi1z6aMjoxanZNQUuheKUJOYJQvfaSeYpKK+uorwmHgmzL4EgP4jx/L8F7+i1XfdUawrNNRWM3nO5Uy84FIAEvsO4K4X38HgH8javFzSKuw9GlMGJhEV5Of2eKqKj467qCktPam1t1RYLRZWfLyQukrp7IkVFBT+2RRmZJI8fBgTrric0RfMZsjUKaSOOYvEwYOITExk05Kf+O/zL9BsPP6sy64Sl9qHuxctZFCb8RWizcbiRx6j9EiuS9dqiyEwkMsffwxBEPj5rbfJP3SIwowMdq3+zW1rtiV5WKtQ2yaPUHOWPnZwvhwcEM3U8BQADlZW8mNmJmY3lmdW5jsyWUpGTUHheCi1VRKTm5nG+uVLmDL3SknX9fD04r7XP6Ik/whrlnxDXmY6Og+PM7J+7gp9hoxgwKhx7N74FwBHDqVhE0XW5eWxu7UM8Zx+CfQIk8Z5qq1QA/ht8acMn36erGWHRVlZNDc0sGPlKs65bJ5scSgoKPxz6DloID0HDTz1A12MzWZj9aLF7FnzR7vjzQ0NfHTvfdzx0Yd4+7nHNj5l+DAmXX0Vqxct5tOHHyUoOgpBUDFkqvsHHycMHIBao+Hw3r20NJvQSTy709GDJqiOzdL29g3DQ6Xhl+ID5NTU8t/0Q1yYkoyniz8XbVYrlUWlaLRa/EKDXHruziCKIuW5BYD8piYKCh1RMmoS0lBXi7GuljVL/ovZLK1xhZfBFw9PL6Lie6JSqyk4nNXO1EMqtDr7h1F8ch8AjuRksjQzwynSxvSOIyUqRLJ4qkqOlj6qNRqqS0vZvnyFZOsfj8N79wHIHoeCgoKCu1GpVEyefzXXvfQiZ114QbvZhBUFBSx+5FG3flZNXXAtPQb0p6KwkENbtnJo61bqq9xvtKX39CS+b18sLS0c2bfP7et1xGFiolKpj/vzHj5BzIkegEYQKGxo4KuDadS72HCrurgcq9lCUHS4c66iHBhr6miqN+IfFozOU9rNawWFU6EINQkpK8wD7KYeW3+X5yJcq9MTFd8Ti7mF4rzDssQA4B8cQkBMHL4z5pLT2pM2eWAifePCT/1kF1JXXsHUBdcC4O3vx5NLfyEoSt7Sh5w9ewF7Zq0wI0PWWNpScli+fy8KCgp/X7R6Pb1HjWTOvffw2JIfuHvRJ0y9bgHRKSlkbt/Oj6+94ZZ1y/LyeP26G8jdf8B5TLTZ2LlqtVvW60jSULv7Y8a2bZKs1xZHL55wkqHfkZ5+XBo7GJ1KRUVTEwv37qOqqcllMVR0FyMRp+OjUvao0P1QhJqElBbkOb9f/f2XkjUtdyQ20V5/npd1SJb1ASobGwm+dAGeUbEINiuzhvehZ7j0pQ+XPvIQ065bgE+AP3UVlahUKhIHD5I8DgeiKHJk717n/a3doGfOwc9vvY3JhR/SCgoKCh0RBIHolGSmLbiWuxct5PGffiSiZwLF2TkuXys0NpZLH3qAoMj2QmH7ypUuX+t4JA8bBkDm9h2SrNcW0eH6qD75ZWCw3pvL44bir/XEZLWyeP8BSlzUp1jhsOaX20gkTzESUei+KEJNQsoK89t8n8fezetkiSMmsRdg75eTg7zaWr46sA+Vlw8tFWWEFx0iPMAgSyzBrdmz8NaBq3JnjaqKi6mtqHDe37lqlSwlqh0pPZJL2sZNlOQoWTUFBQXp8A8N5awLLyCiZ8KpH9wFopKTueuTj9uZmRSkH6L0yBG3rNeW2D690Xt5kZ+eTkN1Nb+8867b13RwqtLHtvhpPbg4ZgCheh/MNhtfHDhIrgvmzzmHXcueUVOMRBS6L4pQk5C2GTWAVd9+LtlQybbEJtkzavmZ0mbUzFYrf+Ue4cf0NKw2ET8N5C58k8I9XR/g6irCe/QAkF2IOPrTHDRU15C2abNM0Rxl/Xd2++ri7GyZI1FQUFBwLR7e3lz5nyeYe/99aHQ6AHasXOXWNQ/v3cfhvXuJ6d0LURR5/fob2LFCmkwenF7pY1u8NDouiu5PjKc/VlHkm/R0NhYWYjuDa5jyfMew6+6RUZNbMCooHA9FqEmIo0cNQO/pRW5mGln7pRcpUT0SUWs0khqK5NfW8sW+vexuNe/oFRXCzOG9EZubyE9Lk60M1IFTqMmcUTu8dy9BUZEIKhWCINB37Bh2SFSGcyKa6uudJZhF3UyoSdH0r6Cg8PdHEARGz57FHR99QEhsDDtWrnLr55IhMIAP7rybrB07Afu8Oq1eOufH0y19bIterWFWVF96GeyGL+sLCvk6LZ06k6lLMVQ6Mmox3cSaP07JqCl0PxShJhE2qxVBpeKCBf8GoEevVJ777Gf0Hp6Sx6LV6oiMS5DEUMRksbDmcA4/pKdRazKh1ag4b0gK4/sl4OPrS2hcHM1GI+V5+ac+mRsJT7ALteIc1/dBdIaU4cO4/4vP8fTxQRRFrnrqSWbfcbusMW35dSktrb1p3SmjZmpq4odXX5M7DAUFhb8RUUlJ3LXwY+L79nWrG2NwdDSTrr6q3TFtazZPChwDrzvOUTsVGpWKqeEpTAlPQS0IFNTX88GevazLL6C5kxu/zoxatLQmYsfEoZiJKHRjFKEmEaIocs8r7zNs/GQAyosK8A0IJDaplyzxOAxFcjPT3bbGkZoaFu7Zxb6yMgD6xIRy5fhBxIb4H42jT28A8g4edFscp0N4j9YeNZlLH/uPH49Wr8fT4ANAU0MDfsHBssVjs1pZ9933zvvFWdmylOt2RBRFvnn2OeorlYyagoKCa/Hw9uaK/zx+jMmIq5lwxeWExMQ470uZUbO1DrwWTqNHrSOCINDHN4wr44YS4eGLTRTZVFTE2zt3sbGwEJPl1AOyjTV1NNU14BcSJKslfmNtPcaaOnxDAvHwln7jXEHhVChCTSLUGg16D0/8AoPR6T2oKi+VfJZaWxyGInlZrhdqzRYLq7Kz+OlQOi0WK76eemYO68W41B7oOgzMjO1jn6cmt1Dz9vPFEBREQ3U1DTU1ssYC4Gmwm6s01TfIGsfBjRupKipy3jfW1lJXWSljRHb+/PIrdv32Oz6B0gxGV1BQ+GchCAJ+Ie6d6anR6bjonruP3tdLmFHrQuljR/x1nlwcM4AZEX0I0nlhFUXWFxTy9s6dbCkqpsV6YsF21EhEnv605oZGNny79KjjY2t/WnfYiFRQaIsi1CRGEARCIqMRbTYqS4pO/QQ3EdeayXO1oUh2VRULd+8krdW5sF9cOHPP6kdUkN9xH380oyaPA2VbIhK6h6EIgKdPq1BrqJc1jrXffHvMINLiLHnLHzO2bXe6oxkCA2SNpSMNNTVUFRfLHYaCgsL/CCnDhzkdJ6XIqLU0m6gqLkZsU/ooiiLVrf3jnUUQBBINwVwRN4Rzw3sRoPXEIor8lZ/P2zt3sb2kBMtxev0q8uW15td7e7Lk5Q/5+M6nAbCYLXz20Ets/fk3WeJRUDgRilCTgdDIaADKigpkiyGyR0+XGoo0ms0sz8zk18wMzFYb/t4ezB7Rh7N6x6HVnLi0IjIxEY1OR2FmJuYuNiS7iu5iKAIcLX2UMaNmamxkxMwZXPfSCwD0GNCfMXMukvX1qSou4dNHH3M2whsCuodQE0WR7StW8tbNt+DTTWJSUFD432DWbbfi4e0tSY+aVq/jnVtvY/mHHwFQXVrK6wuuZ/+69Wd0XkEQSPEN5cr4oUwJS8ZX64HZZmNNbh5v7djJrtIyrG0Em9zW/IIgEBYfTWXr0O3cvens+30DAyePkSUeBYUToQg1GQiJtNekl8so1NoaihTldt1Ao8lsZntRIZ/s3kVGlb0kblBCJHNG9zut2WgarZao5CSsFgtFWVldjsMVOGepdYuM2tEeNbnQe3kxZOoUjK3zcsLi4rjo7rsYMXOGLPG0NJv45MGHMNbWOo91h9LHyqIiPrjzbr74z5MMOGc8Og/5+i0UFBT+9/ALDubcG6+XJKMmCALJQ4eRvtk+9qWysIi8tDT6jhvrkvOrBIE+fuFcHT+UiaFJ+Gh0tNhsrD5yhI/27mVfeTk2UTyaUZPRmj+0R0y7++Mun4XeS+lTU+heaE79EAVXE+LMqMnrdBibmEJ+dgZ5WYeI6ZncqeeWNxrZU1LKwYoyHCXdQQYvxvdNIMTPu3Nx9OlD7v4D5B48SFxqaqee60q6VUbNUfpYL2/pI+AsiQkICwOOikgpEUWR7156iYJD7Ut15cyoWS0W1n7zX5Z/+BFmkwmNTseYORfJFo+CgsL/LmMuvBABQZK1eo8ayaaffnLej+6V4nx/dxVqQUU//wh6+4axv7aYDZWHqTW1sDznMJuLiqnXa0EQZLXmD+vR1shFx9mXz5YtFgWFE6EINRlwlD6WF8qXUQOITerNhpW/kJeVzllTZ57y8TZRJKe6mj0lJRTU1zmPB/t60Tc2nKTIINSdtPoFiOvTm3XI36cW3iMe6B5Czcu3Gwm10lIA/F38Qd4Z6quq6NG/P3ovL9a3caE0yJRRy09P55vnXqAwI8N5bMjUKbLF48BmtVJ6JJe8tDTy09Lw9vNjyrXXoNYob/UKCt0ZlVrNWRdeIMlaSUOHoNZonG0P/caNc9taGpWKgQFRpPqFs7emiA2l2VQ3N8OUUUT07kF9gAFRFBEEaURqW9oKtZEXTsMQpJStK3Q/ZP/0FgThFuBeIBzYA9wqiuLWkzz+DuBmIBaoAL4DHhRFsVmCcF1CaFRr6WOxzEKt1aL/VIYizRYLB8rK2FNaQn3LUafKhPBA+sWFE+7vc0Zvst3F+dHTYMAvJITa8nLqq6plNaroDqWPDmpaxysEhMsn1HyDghg163w+uPseAKZdt4Atv/6Kj8R/I5vVyrL3P2DNF186++QcjJ93qaSxiKJIRUEBeQfTyE9PJy8tjcJDGbQ0298Ke40YwazbblVEmoLC/wgdjZvchYe3NwkDB5K5fTvgXqHmQKtSMyQwhgPvLKY6yh/roCR0MeGsLC3hz+wcpg3qTw8/P3QSvQZwtPRRUKmYMH+OZOsqKHQGWT/BBUG4BHgVuAnYAtwBrBQEIUUUxbLjPP4y4HngWmAjkAwsAkTgLonCPmN8A4LQe3g6Lfq1WuksedvS0VCk4wVdRWMje0pLONhaUw723bF+8eGkxoTi49n5evrj7ZwFR0fjaTBQnpdPY10dXr6+Xf+lzpDwhB7UlpdTcjgHQ+AQ2eLoDmYiDmpK7Bk1V5fGdJbqkhLSN21G7+XF+HmXMnDiBHyDgiSNQaVWM3n+1Xj5+vLL2+84j/ceNdJZOisV6Zu38PnjT9B4nKxrrxEjuPaF5yTpeRFFkW+ee57KoiLC4+MJa72FxsfhGxQk+U756kWLGTR5EsFR8g+vlStToKBwKnqPGknm9u0ER0URniDde1dEdAy73v8AlZcHhmlj8Z1yFiYfL37KzEIAYn19SfD3o4efP0GeHm79/xMSF4mgUjFwylhC4+R/v1BQOB5yb7XeBXwoiuInAIIg3ARMxy7Enj/O40cDG0RR/LL1/hFBEL4CRkgRrKtwWPQX5GRSUVxERGy8LHE4DEXyszMoys0hpmcyNlHkcHU1u0tLKKg7Wt4YZPCiX1w4iRFBaM5g7sqWX35h5PnntzsmCAKxfXpzaMtW8tLS6DVCvj9nREICh7ZspTgnh6Qh8gk1j9YeteNdhEuNs/QxNFTWODb/8iuiKDJk6hT0Xl6ExcfLEkez0ci6b78DwMPHh+aGBsbPmyd5HCkjhjPhyiv4tXVUgQMpRRrY//+OnXMRr113A1k7drb7mafBQFhcHGHx8fQdN4bUMWPceuEliiIN1dW8cNkVTLj8MiZedaWs5i47V60mMimRiFajIgWF7kKf0aP4+f/eou+4cZJuJoTFxwFga2ym9ofVqHdnMP61p8g0VlJnbia3ro7cujr+IB9fnY4e/n4k+PkT6+eL3sXZNq1OR1BUGJMXXOzS8yoouBLZhJogCDpgCPCc45goijZBEH4DRp3gaRuBKwRBGC6K4lZBEBKA84DPTrKOHmh7xWIAaKyvw9Orc6YXriQkMpq66iqM9bWnfrAbiU3qRXV5GaVVVRTo8zlYXk5D2/LGsAD6xoUTEWA44zdzURT56f/eptfIkcdc9Mf16UPewTQaqt0/bNpYW4e33/GzduE9eqD38qSlscntcZwMb19fPHx80Gjl3UtpaW7G02DAw9sbjQTW0SfDMZ9s1KxZssaRvXsPtRUV9Bo5ksnzr+L7V14laaj0or6huppVCz9pd0xqkebg2xdfwmo2H3O8qb4eQa0idcxZ9Bk92u0XhMs/+JAdK1dhaWlh1SeL2LpsObNu/TcDJpwj6cVozp69HNiwAZPRyOrFi7nz44/Qe0rvJldXWUlhRga9R53oI1Uamo1G6quqCYmJli0Gi9lMU30DWr0OD2/5PvstZjM1paUERkRIVup4PEJiY/ELDiZ1zGhJ1w2Ni2t3f9zMWSQ2CIyMHkg9Fo4YqzhirCa/sZq6lhb2lJWzp6wcAYg2GJzZthAvT5f8nx576fnE9bPPla0oKMY3KACdp7zOveu++lnW9RW6F4JcU9gFQYgECoHRoihuanP8ReBsURSPm1YRBOE24GVAwC403xNF8eaTrPME8HjH489/8Su+AfI1/lutFtRqaS/CbVYrmft2kTJwKDZRpMxoJL+6mvyGevLbZM/UKoF+ceGkxoZh6EJ544mwWizcM/ZsBkyYwPxnnmr3s5ZmExqdFlUXzEg6y+41f6DRaug79lg7YqvFgqBSSRLH/xI2m61bvCbVJSUEhIfLHQaHtm4jLrUPei8v8tPSnYPbpWb99z+g1en4+tnnZBNpAD++/gY7V61ybrQIKhUDzhnP+HnziEvtI1kc7952Oxnbth9zPHHIYC68804iero/s2WzWnl+3uWU5x919R0+fTrzHnnI7Wu3paG6mmcuvhTRZuXBr7/CNziY6pJSAiOk/f9TlJXNy1ddTUyvXty58CNJ125L7oGDvH7d9SQNHcq//u8N2eLIT0/n1WsWkDBwALe++86pn+AmyvMLePbiSwhPSOD+L0641+1yLGYz958zEZvVioePDw9+9QVPnD8bLz8/nlr2q1N8mW1WChprOGKs5khjFbXm9jYE3lotPfz8iPfzI97PFy+ttkvxWM0W1K0bog+ffQk1pRW8uPlHvP3la8HYvGQVnz3wAoCfKIp1p3q8nAiC4AvUfp+xCG+Dl9vWMdY3clHyfPgfeE1cjdylj51CEITxwEPAv7D3tCUCbwiC8Kgoik+d4GnPYe+Dc2AACuS4mGmL1CLNbLWSU1rMz1s30VPvRWF9vbPvzEF0kC+9okOJDw04o/LGE8bQOtB6z5o1pG+eQa+RR7W4zkP6DEDPgQPxNLSf9aYYLxyf7iDSgG4h0gBShg9zfi+XSAMYc9GFmJqa2P37GtlEGsAFd9xO1o6dtDSbGDlzBuMuuZigSOltt6cuuJbMHTuPMXrJ2rGTl6+ez1kXXsC06xa4tQ9WpVYz9/57ee/2O7FZrQBsXbqUxCGDGXbuNLet2xGfgAD6jh3D9uUr+OWdd0kZNoyirGxm3fZvyWIACI2NQaXRUJiVhcVsRtPFC+ozxWqxZ3zlrlIoy80DkL2HMj/N7rIc2bOnpOtqtFqCo6Ioy8tj9AWzqSgsRBRFwuPj22XItCo1PXyC6OEThCiK1JibyTVWkdtYTW5jNUazmf0VFeyvqAAg3NubaIMBX50OH50Og06Lj06Ht1aL5iSfXw6R1tLUTE1pBZ6+Pnj5nXoGrNVmo77FTF2LiXpTC3UtLdS1mKgztdDU6qbZVSyR8s8HVeg+yPmOVQFYgY4OBWFAyQme8xTwmSiKjm25fYIgeAMfCILwjCiKto5PEEXRBJgc9/8pjd3NFgtF9XUU1tdTVFdPqbEBEdANGObMnum1asL9DUQEGkgIC8LXy70XeWbT0ZLK719+hXs//0xygQaAKFJXUcmSN/5P8l1uBQVXo9XrZRVpYB+fMHjqFEbPOv+YzQ+pMDU1seH7H+k7Zgx6by88vLzQO27eXnh4eePh7UVVcYlbhVrGtu0sevgRp0hz8N1LLxPbu7ezR0cKZt7yL/b9tZYdK1ayf+06QuNiJVvbgUanIzKxJ/lp6RRnZxPTq5fkMYA9cwLyb8aV5dmFWkis9H+LtuS1CrWY3tL/PULj46gsKmLsnDnsWbMGsM9yOxGCIBCg8yRAF8XAgCgsNhtFzbXkGqvJNVZT0WKkxGi/HQ9PjQaDToeP1i7efFpFnI9Waz+u01Gda3fhdpiKNJrNdvFlMlHX0nJUjLXeNx6n1NtV2Jr+Z0zMFSRAtncsURRbBEHYAUwElgAIgqBqvf/WCZ7mBXQUY45Pw04psFXZWWg9ut4zoBJU+Op1+Oo98NPr8fPwwEenQyWTEKw3meyirL6Oovp6KpuO7bHSq6B8z06E2kquvutWQgJ8JRWujowaQEVhIb9/9hnnXn+dZOt3ZOvSpQyaNLFdZk9q0jdvcc60UVDoCiqVCpXMFQKGwEAmXnG5rDHoPT258sknZI0BIHnYUO77/DN2rlrF9hUrKc7OBqClqYnFjzzKHR99KMkG1aGt29i2bBkeXl6YGhsxNTZScCiDZqNR8h6tmF69yE9LJz8tXTahZmm9sFZr5MnoOShvFWqh3USoyVEREBYXh6ePD/6hIeQfso8HijmJUOuIRqUi1iuAWK8AxoZAg9lEbmM1FSYjDZYWjBYTDVb7V6so0mSx0GSxcIyVeBsEUSTq1ftR67S8tm07ltNoC1ILKnw1eny0egwa+81X64GnWntGo8tNxkbeP4PnK/y9kPvq8FVgsSAI24Gt2O35vQGHC+SnQKEoig+2Pv4X4C5BEHZxtPTxKeAXURStHU9+MrKrq1HrXWsYoRIEfPV6/PR6fPUe+Hvo2wm5rswHsdhsNFssx9xMrV/rW1ooqq9rN9/Mgb+3BxEBBiICDIQH+JK5bi2f//A5AOn9Uwi9eO4Z/86d+l1aTO3u//7Z5wydNpWQmJgTPMP9fPP8C9z/xWeyNZfnp6eTn57O5PlXy7K+goKC6/EPDWHCFZcz4YrLKczMZMeKlexYtYri7GyWvP4GFz9wn9tjSBoymD1//EFta2kYgGizcXjvPnqPGun29dviEGf56emSrtsWR+mjupuUPsqR3XRgtVgoPJSBoFIRlZws+fph8fEMnjIFgIJ0h1DruoD30epJ9Tu2LF4URZptFhosJoyWljZfW8Vc6/eN1hZEQUAT5G/f+W8Vad5qHQaHCNN6OMWY45inWuuWze5mQV4zE4XuhazvWKIofiMIQgjwJPaB17uBaaIolrY+JJb2GbSnsc9MexqIAsqxi7eHO7v2qOQYdF5db3y02GzUN5moa7Tf6ptM2ESRmuZmapqbgWPdHD01Gvz0Hvh66PHTe+Ct1dJiszpF19Fb6zGrBYvtmGrOExLi591GmBnw1LXfOWyoqXZ+v+qTRQyffp6kAqVtRg3Aajbz3cuvcNPrr8lWklpTWsovb7/D3PvulWV9lVrN8g8+JHXMWUQmJsoSg4KCgvuISkoiKimJGf+6mcwdO9i+YiUH1m8gdcxZbl1XpVYz97578fbz47fFnzqPZ+/aJblQc2Rt8tPSqausZPfvaxgn9UZha+mjXD1yYDdlKs/PR1CpZO1RKz2SS0tzMxE9e8riRtp//NnoWzO9Zbm56L28CHbDhq0gCHiqtXiqtYScJIltFW18/fpr7N2+jSnXL2Do6DF4a/Qn7W1TUJAKuTNqiKL4FicodRRFcXyH+xbgP623M6JPbJhLRYpNFDE2t7SKtmZqG03UN5qoa2qmrtFEs9nSmn5voMTYuSHGKkFAr1Wj12rQazV4tH7VazV46jSE+vkQ5u+DVnPyjF1D9VGhZqypYc3nX3DejTd06fftCubWrJ8hMJD6qiqmXHsNAWFh1JZX4B8aIlkcHZ1ON/64hIETJ8gyN02lUmG1WPjyyae54+MPZb2IUFBQcB8qtZqU4cNJGT78mP41dyEIAtNvuhEvX19+/j/7x2z2rt2SrA3299rVnyzCLzQUlVpNcU4Or8y/hn7jzpYsBgfWblD6WFteTktzM8FRUbKOO3EYicT2lscISd+6SV6YmYkoil2RtlQAACAASURBVEQnJ8tqWKUWVFRn5NCSk09iSCR+OunFq4LCiZBdqP1dUAkCBk99q539sY3qJrPlaAauyURdYzNNLWZ0Gg0ebURYRyHmoVOjVatdknGqr6pqd/+vr7/hrIsuxC84+IzPfTpYLRYuefABrBYL3730MrVl5bL2qDmI6d2LZe99wE1vvi757qLQ+uFUmJnJ6kWLZX89yvLyZO+dUFD4uyP1/KxzLpuHl8HAN8+/QF5aGi3NzZIMAhcEgZDYGD599OiEnLqKSnyDpHe16w6lj46yxxAZyx5BXiORtuSn2UthT2YkIhXlBfZxGsHR8rViKCgcD0WoSYRDeAX7emO1WGQxj2iorkZQqRBtNrz9/UkaMpgN3/8gWVYtYcAAeg4cSHm+3V0pY/s2RFGUpewxJDYG36BgsnftYuzcuQw7dxq2TpSZuoq2F2y/Lf6UvmPHyNZsD/DNc8/zr/97UzE3UVD4mzFi5gw8DT58+tgTHNm3n+RhQyVZd8CECUR//iUFraYRAD6B0gu17lD6qBiJtKcrRiLuwNTYSF1FJV4GA95+8s1PU1A4HkoBrsSYGhvZvnyFLGvrPD25/YP3UGs0mBobufzxxzj3huslW98hyIKjowgID6O6pJSKgkLJ1ncQEhPDre++y/Dp5wFwYP0GQJ5ZYW1Fqs1q5cunnsZyHGMYqcg/mMYfX3wp2/oKCgruo//48dzwysvtRJO7UalUzPjXze2OGWQQakdLH2XMqHUDoWZpaaE4Kxu1VkuExDPUOuIKIxFXUFFg3zx2R5+cgsKZogg1iSnNzeWPr746pk9KCi575GHiUlOJSOxpf7POyZElmyUIAslD7QODM7dvl3z96JRkDIEB9B41CkEQOLRli9O6WWo6lkCV5Bxm+UcfyxIL2EsxV3y8kOLsHNliUFBQcB/Jw4Yy+oLZkq6ZMnxYuwyeITBAsrUdJlZWS/s5anJ8BjuFmoylj4WZWVgtFqKSkmTNLrrbSKQzOKp8QmKiZY1DQeF4KEJNYkoPH6H08BHSN2+WfG1H87KjgTj/YJrkMThwfGhnbJNeqDkwBAYQl5pKs9FIzu49ssTg6FFz9Itc+tCDhMXFHuOQKV08AlazmS+fftp5YSMXcq+voPB3RY5xJG2zalJm1Iqysnn/jrsozMgEoKasjK+efpacPdK/5zt71GTMqB01EpE3i9VdjERAyagpdG8UoSYxpUeOAPDHl1/LFoNDqDnq1OUgaajdYTFzxw5ZesMc9DlrNAAHNmyQZX21RsPc++5lxPkzAbvhy/Dp09HKNMDYPnPeXpKy5vMvZInBQca27RQcypA1BgUFBdcQ06sXgyZNBKQVajG9UshLS2P7CnvLwdalyziwfj3xfftKFgNAS7OJmtJS9F5e+AYFSbp2W44aicjcn9Za9tgtjEQcGbVo+UYmKCicCEWoSYxDqGVu305hhjwXoY43aIfjkhwYAgOJ6NmTxro6CjMzZYsjdcwYAA6u3yBLKczgyZMYfcFs+o0bC8C+teskj6EtQpudzZUfL6QoK1u2WKwWM18/86ySWVNQ+Jtw7g034O3nJ4njpAOVWn2McUrfsWMl71WrKMhHFEVC42JlmxsK3chIpHX4uZxGIjtWrqK+qkpxfFTo1ihCTWJKj+Q6v//zq29kiSEsPg6tXk/J4cO0NDfLEgO0yarJWP4Y0TOBgPAwKgoLnWUpUuLInCUMGICXwUDewYPUlJVLHoeDthcQVouFL5+SrwRStIkUZmYq5iYKCn8TQmKimXzNfMnXTRk+vN39ARPGSx6D4/NFTiORZqORsiO56L08ZXeedBiJRKfIV4JZWVTEC5dfSVHrZvH+tWtZ/Mijks05VFA4HRShJiFmk4mKwqMuhztXr5blolyt0RCdkoLNapW1tCx5mN1QJEMGQxEHgiDQZ/RZABxYv162ONQaDX3GyB9H24xaVHIycal9SN+yVZZYRNFeErty4SftNjgUFBT+dxk75yLJ10wZcVSoefj4kDRUmtEEbekOjo8FhzLsfWEpvSSf5deWo0YinoTEypfFComJwVhTg6mxCYDfPv2MnoMGyfraKCh0RBFqElKeX4DYph/LZrWy/rvvZInFMegyX8Y+tZ4DB6BSq8nZvUdWS/rUVoF0cMNG2WIA6DduHAD71q6VLQYvXwMXP3A/AM3GBubcew+prX18UuMoRbW0tPDNc8/L2ssIkCej+Y6Cwt8FOS6CA8LCCIuPB+zv91K6HR7YsJHq0lKnUFOMRNoaiaTIaiTS0X3TJ8Cf4dOnyxSNgsLxUYSahJQeOYxGp8Pb3x+AoedO4/C+fZgaGyWPpTsYinh4exOXmorZZOLI/v2yxZE4eBA6T08O79uHsbZOtjhSRgxH+//snXd4k2X3xz9Pk27a0kUnFCilbAqULVv2BtngApwgorgXbkAUFRVQRBEV2RvZe+8NhQ7K6AI66E6TPL8/0oS2gPi+P/rc5eX+XFcvkzTlfIUmec59zvkeBwcuHDpMbmamEA3PfDmVZr164hUQwI2rCSTFxgnRAZbWRytxJ06we8lSYVoAVk7/jozr14VqkEgk/x3hTSwdHPXbttU0blZaGl+MeMLmcJwQHc3vH35Efm6upjpAGomUxCe4uB1/qwEDcHASY+QlkdwNmahpiN7BkQlzf6FGs6aAxchi7IwfhDj8WQeJRRqKwK05NZE2/faOjoQ3bozZZBKyNsGKo7Mz1ZtYdJzdK0aHT3AwiqJQp5XFZOXUTnHmJiXNXVbPmElqYqIgNZCVkc7Sr6YJiy+RSP57wps2wcHZmfCmTTWN6xMcRG5mJpk3bgCwae5vuHl64ejsrKkOgEuFn/fSSMSCo7Mz5StUAMDB2ZmW/foJ1SOR3AmZqGlI3dat8KtcGe+AAABSExIAMa0gPsHBOLu5ce3yZWHVGyiyT03gnBrcsumX7Y8W6hS6UJ4S6EJZMlEryM9n4eQpQtw5wdKqfGLrNuHOnBKJ5D8ntEED6rVpo3nFpGTVRmdvT9shgzTVAJCdkUFqQgKuHh54FV6DiKIsGIlY8S3cnda8dy9cPdwFq5FIbkcmagLwDgoELI5DolAUxXaadUlgVS2kdm0cnJy4dOYsuVlZwnRYE7Wz+/YJtYOv/UhLFDs7zu7dJ3Ruz+ZCefYsGdcEuVCqKg7OzrbXy8jJk+g1Zowwp1KrE9iSqV+Sl50tRIMVkS26EsmDiKOzM92eHa15XHdvbxyKVM8ad+uKh6+vZvGNBQXAre6ZijVrCl0PUFaMRKxUCKmEnU5Hm8HaJ88Syb9BJmoC8AoQn6jBrTk1kYYient7QhtEoJrNxBw9KkyHu7c3lWrWJDczk7gTJ4XpKOfpSZV6dcnPyeHC4SPCdOj0emq2aA7AqZ1iXCid3dx4Yfo3NO/TB4CoAwcIrBYqpGUIbiVqGdeusfqHmUI0WPn7xx+FHmxIJA8inv7+msdUFAWfwkXKip0d7YcN0zR+zNGjrJz+nW0O3Nr2qHVnQlZ6OrlZWWXGSMSKb8WKNOzUEU8/P9FSJJI7Iv5V8hBirRCkJoibt4FbA8UiDUWgiE2/wDk1uOX+eHrXbqE6ykz7YytL+6OodQE1mzcjpHZtahUmjKd37xHW9ghgNt7arbNn2TKhCf3NGzdY+qWcl5NIHgSs7Y8RHdrjWzH4Hs++v5Tz9GTrn/PZ+OtcwHIwO/35F0hLStJUR152Nl89NZJD69YDFiOR7IybQveGgqWi1n64tsmzRPKfIBM1AXj4+KCztyc1MVHoYsUyZygifE7NatMvNlG7ZeSxS6glfY1mTdHZ23P+0GGhrX7+Varg6e9PakICKfHi9qmZirxWVVVlwaRJwtpT9Q4OHFq3jmObtwiJL5FI/j3WRK3DiOGax3bz8gJudQSc3buPwNBQzefU3Ly8uH7lCnuXrwDg8PoNfNRXvHlH9caNCahaVbQMieSuyERNAHY6HV7+/piMRnHzP4CHry9u3t6kp6Rws9CRSgQBoaGU8yxPctxFoX8fQdXD8PD1JeXSJa5dvixMh09wMAGhoWTeuMGlM2eE6XBydSWsUSNMBQXCll6DdSm5eLOXoocqlWrVIrxJE2GHCzq9HoBFU74Q+poRedAkkTwo+AYHUatFC4LCwjSP7erhUey+o4sznZ5+WnMdjs7OOLq42O5npaXxSP9+lK+g3bzenbC+l0okZRWZqAnCO9A6pyau/VFRFNviS5HLfO3s7AhrZKmqiZzLUhTFZioivv3R0nYo2mGwLNj0A9RqaWl/PLNHXKLm6e/P05M+ByA3M5O+L4+zJZBao3dwAMDZrRxHN20WogEsidqCSZO5HBUlTIMVkSZAVtJTUkRLkJRBfIKD6fD4CCGxdXp9sWSt7dChuHl5CtHi7u1tu+3s5iakwvggkBR7UbQESRnioT1KyLh2HSdXV2Hx2wwZRNNePfGvUlmYBrAseGzUuROV69Qu9Vj5OTlkXLtGhZCQ277Xom8fajZvTniTJqWuoeipXkma9uhBcHi4bV5NFA07dcTFw8M2ryaKOq1bkZeTY0scRVGtYSO6PjNaWGIE8Nw303D18KDbs89QrWFDVFUV5p5WpW5dardsgZuXNyG1awnRAJaEMaJ9O5z+4TWlFcumfUP5Cr60GTxIyG5KgDlvvkXlOnXITs+g7ysvU658eSE6ADbP+53406fp+OQTVKwhzgZ9/6rVHNuylQ4jhlGtYUNhOk7v3sPWP/6kzeBBmr+fVa5Tx3a4cjkqiiVTv6RFn9406d5dk/jlvDzJzsignKcnbQvdDTNT05j92uvUb9dWsxktN28vW7dK++HDcHF3x2wyMeOlcQRVr07vl8YKdaSc/8mnKIodvceNxblcOWE6jmzaKCy2pOzx0CZqHr4+QuPX0Hjp5t0Ib9JYs1jGggIWTprCC99Pv83tSasP8DWzfqTH88/fdZdOSO1aQi98rfhVroxf5cqiZeDh40OHMjBo7eDkSKennhSqwXrR3fHJJ4TqAGjSvZtoCTZK+3Dl32A2mzm6cSMRj3YQ2sqUnpzCzrOLAcjNzqJRp4406txZiJZD69aRFBunuctgSQ6v38CFw4dp3ruXUB1HN20i5uhRItq30zy2NUkDOLltO/GnThPaoIFm8d08PUmOu0jnkU/bDqijDhzg0pkzmrodunlZKmruPt60HjgAgKS4i0QfOUp2eobQJM3yHrIJk8nEgDdeE6YDoP2woexcuEioBknZQbY+SjTDbDITc+wY+1asFKYhNSGBFd9+Kyy+RCK5/yTGxNCyfz8ee20CdjqdMB35ubm227k3M4no0EHT+NadWckXL5IUG4eHry+VBB48ZaamEX30KI4uztRo1kyYjoL8fE7v3IWiKNRr11aYDoAT27cDUK+Ndt0Sbl5e+AQHF0uWz+3fD0CNZtodtLh7W4xNOj31FA5OTgBcOnMagBANunr+iZvXr1NgMODp7yd8bk1kt5ek7CETtYeMzNRUYbHNZovxwKrvfxBmyetUrhx7li0XOtdz8dQpacIgkdxHfIKC6PbsM8JP5A2FiZpTuXKM+Gii5hd8p3ftYvfSZRzfshWA+u3aCt1VdWLbNlSzmdotH7lrF4MWRB04QF52NlUjIorNSWlNSnw8yXEX8fD1ta3H0YJynp50e/YZ2++j2WwmqjBRC9ewu8fd2xufoCCa9eppe+ziqcJErbbYRO36lasAeAcFCdUhkZREJmoPGYf+Xidsb5paaDWfl53NkqlThezEcnKxnFQt+HwS169c0Tw+QFJsHKu+/0FIbInkf5F/mjvVioL8fNvtgW+8prn9OYDRUMDiL6ay7a8FgMWdNOrAAQx5eZprATi2xbI+IqJDeyHxbToK11iIaHssyontlt2YdVu30jSBrtWyRbF/g6sXLpCVlo5flcratj56e9O1SMIIEH+6bFTUbly1JGq+wdruuZNI7oVM1B4yMlNTWf39DCFJktl0ayfYqZ27bKe+WuLkarmgy8/JYe577wvZg+Xp78+2+X+xZ9lyzWNLJJLSwVpNa9qzBw0efVSIBmvrY25mJgC/T/yQg3+vs7WZaUlmaioxR4/h6OKsadWmJAX5+ZwqI22PJ62JWps2msat0bRpsWrzub37AKipcTtqtYYNiiWMuVlZJMddxMnVVfhMtvXgVlbUJGUNmag9ZGSmpXHh8GGiBOzFUtXiy5uXfPkV2Rk3NdXgVMTJ6cq5KCGVLa8Af8Dy/x91QNx+MhHJukTyv0p+bi4VKlWi7/iXhWkoefDk6e9H/1dfEaLlxLbtlrbHR8S2PZ7bf4D8nBxCG4hte0xPucalM2dwcXMjtEGEMB2A7fM/vKm2RkDegYHFKomXzpxFVVUq1aoptEUX4HphRc1HVtQkZQyZqD1kZKWlA7Dqhx8wm833ePb9pWhFzaIljZXTp2uqoeSQ7o6Fi2ynnFpRvkIFwLKD6te33yUpLk7T+FZO7dxFWlKSkNgSyf8aZqORxz/+EEdnZ2EarBU1sOyFHPree8Jsxo9ttswBR7QX2/Z4vLD9sr5gHad2WD5nard6RKhZRV52NnEnT2Lv6EhohNiE0db2KHg+DW7NqPnIipqkjCETtYeMrLQ0ABIuRHNkg7a7OlRzcQONem3boNjZce2ydrNiJRO1em3bcHzbNvJzcjTTYO/oiLuP5WQ3Lzubnya8TmZqmmbxrbi4ufH9mLFySa9Ech+oEBJCUPXqQjUUTdTaDhlMtYbaWcCD5fBpx8JF3Lxxg5hjxwvdHsW1PRry8jm1cyeKnR312mrbbliSE9ssbo9atz2W5MKhw5hNJkIbNBC2b9BKvNVIpE4doTpUVbVV1LyDAoVqkUhKIhO1h4yiro9rZ/1YbAC+tDGbzYRGRNDjhecBS9I0+O238K2oXauBk6srnv5+1Gxu6c2vXKcOwz94X3MzAk9/f9vt1IQE5rzxpqb/FgBB1cO4cTWBH8a8RMY1MS6cEonk/mEqTNQCq1Wj27PPaB7fWFDAsmlfM+/9D1DNZuq0aoW9oyMmo1FzLQBR+/eTn5NLaER9oW2P2RkZxBw7hoOTk/C9g2f3WebTRCbQYEmO4s+cASCklnYOmHci5+ZN8rKy8PDxETLPKZH8EzJRe4hQVdVWUQNIS0pi99JlmsX38PXlmWlf2Qbtz+7dp3n7pXdgIM9/+w1thwwB4NC69ZrGt+JVJFFT7OxIv3aNldO/03RuzMnVFd+KFbl2+TI/jB0ndHWDRCL5/2M0GNDZ2zPsg/eLLVnWioJ8y4xc9JGjtv9O7NWH5IsXNdcCRV0ntd1nV5LTu3ZjNpmo0byZ0Hk9VVVt82k1BBq8gMVlMTs9HZ+gIMp5egrRYMjLZ8mXX5EQHQ3cmk/Ly84WokciuRMyUROAKBOHvKysYieb9g4ObPx1rs0hrLRxLlcOBydHvAL88atSmczUVK6eP69JbCsBoVXxrViRag0b4OHrS0J0tO1NWks8AwLQ2dvj6OKCajbz3NfT6D/hVc33QAWHW1q1UuLj+X7M2GKJvFYYDQbbrIJEIvnvMRYU0P25ZwmsFiomvqF4V0DGtWu0GTyIwGrVNNdiyMvn9K5dZaLt8aSAJdd34tqlS6QmJuLp70+FkEpCtZQFW34HJ0dO79rF7AmvA3Dzxg2+fOppzefWJZJ/QiZqAjixbZuQuJlpaZTz9KRua8uHRbthQxn340xys7Q/ParVvDlgqaqJwE6no1HnToCYqpqXvz+D336LFn37ALBz0SLNNQAEhYfbbifHXeSHsePISk/XVIPewYHVP8zg8PoNmsaVSP7XqFKvHm0GDxIWv6CE62RYo0bC9NjaHhtE4OblJUQDWNxAo/YfwE6no1aLFsJ0gMUBE2636xdBWVl0XSEkxLZn8Nrly2SlptGgo5j1GhLJnZCJmgD2rVzNxVOnNI/r4OTEq7/OoXmf3gBcOnuOCiEhNrt4LanZojBR27NX89hWGnXuDMCR9Rswm0z3ePb9JbJLZyK7dKbVY/2x0+k4uPZvzVcVAARXDyt2PzEmhpkvvay5lrDISH6f+CHrZv8s1wZIJP8lWi9SLknR9QAubm4Mff9dzfWkxMcDRZdci3V7PLdvHwUGA9UjI3F2cxOuBcTPp0HZqKiBJVErSutBA9Hb2wtSI5HcjkzUBJAUG8v2vxZoHrd8hQqUr1CBSoWDu5fOnBF2UVylXj0cXZyJP32a7IwMIRoCq4USGFaNjOvXuXD4iKaxreYlnv7+1G3TBkNeHvtWrtRUA3CbS13tR1rSd/zLFOTnaaqjdkvLSfP6n+cw74OJGPK0NVaRSCT/f4pW1Aa88bptFYmWLPv6W/auWMkpW9tjW801FOWW26PYtseC/HyijxzFTqcjLLKRUC2GvHyunr+AvYODkLbYolSodKsF1MnVlea9ewlUI5HcjkzUNCY3K4v0lBRObNsubIeVq4cH3kGB5Ny8yY2EBCEa9Pb2VG/cuNhwswgiu3QB4NC6dcI0tBk0EIBdi5do7o5Wrnx5PP39aNmvL4qicOHQYXwrVdT8AiswLAwPX18Ajm7cxA9jxwoxNxHlTieR/C9gLDQTiezahYgOYipZBXl5LJw0GUNuLh4+PuxetowDa9YK0WIsKODMnr0oikKd1q2EaLASe/w4Bfn5VK5bR9huPStXoqIwm0wE16ghvHrlV6Si1qJvn9tW+EgeDhRFWakoyiVFUfIURUlUFGWeoij/uKtBURQnRVG+VxTlhqIoWYqiLFEUxe9+a5OJmsYkxVqWG5tNJnYuXiJMR6Walqra5bNnhWmoWTindmavuPbHhp06otjZcXL7dvJzc4VoqFy3DpVq1ixM4LdpHv/Rxx+n36uv0KhLZwx5eWz8da7mGhRFsbXDgmW/zrSRo0iIjtFUx4VDh9k873eZsEkk/wVGgwGvgAD6v/qKMA1Fq3rpKSnsWrSY8KZiLPGjDx8hLyuLkDp1hK4HADi3r2y4PYKlmwfEz6cBNlMVnV5P64EDBKuRCGQrMBAIB/oDocDie/zMNKAnMABoAwQCS++3MJmoaUxibKzt9t4VKzVdtFyUijWt7Y/nhMQHbLvMzu3br7lNvxUPHx+qN44kPyeXUzt2CtGgKAqtC6tq2xcs1Dx+i759sLOzo8uokej0evYuX0FqYqLmOqztj1bSkpKZ8dI4LkdFaaaheuNI9q9ezdQnniT2+HHN4kok/wuYjEaGffCe0KqEsYShycA338DDx0eIlhNWt0fBrpMA5/aXnfk0m5GI4Pk0AHcfHxxdXGjUuZOtq0Py8KGq6jRVVfepqhqvquoeYBLQTFGUO5Z8FUXxAEYCr6iqukVV1cPAU0ALRVGa3U9tMlHTmKS4ONvtvKwsDq79W4iOslBRK1+hAoHVqpGdns7ls+ISRqupiKidagARHdrj4eND/KnTQoxmwLJjrnnvXpiMRtbN/lnz+GGRkcV2P1WuW5cPV6+kYhFnytLGTqej/bChJMXGMf25F/jrs8+FzVBKJA8a1Ro1pGr9+kI1FBRZEdC0Zw8hSdLZvXsxm0y2wz/R82npKSkkxcZRzrP8bXPJIrAaiVQuA4maoij4Va5M26FDREuR/DvcFEVxL/J13xcTKoriBQwD9qiqWnCXpzUC7IFN1gdUVT0HXAKa3+Vn/iv09/MPk9ybpJjYYvd3LFxEi359NXfGCg6vjmJnx+XCXnE7nU7T+FZqNG9GQnQ0Z/fuJaR2LSEa6rVpzWInJ6IOHODmjRtCWlR0ej2PPNafNTNnsWPBQirXqaO5BoCOTz3JgTVrObRuPe2HD8O/ShXNYjs6O1OtYUMcnJ24dOYsF0+e5MDq1TTrpe1wd6POnVn742wyb9xg/6rVnNqxk15jX6Rxt27CLa0lkrKM6HkjuFVR8wkKou/L44Ro+Ouzz6nd8hEyU1MJrFYNn6AgITqsnNu3H4DwJk2EuYIaDQYSYmJw9/YhPTkZDx8fIWYzd6LtkEEEVK0qWsYDzZEb8TjlO5Xan5+XZTM4u1LiWx8CE+9HDEVRJgNjABdgH9DjH57uDxhUVS25zyi58Hv3DVlR05ikuDhb1cAnKMgybLx7j+Y6HF1c8K9cGUNuLskX4zWPb8W2T02gTb+jiwt127ZBNZs5smGjMB3N+/TG3sGB41u3kZacLESDu7c3rQcOQDWb+fvHnzSP3+DRDvQb/zID37AsIF3x7Xekp6RoqsHe0dFm8AKQnZHB/E8+4/sXxhSriJcmJqOR2OPH5aycRPIfUpBvwE6nY/iHH9jcdbXGZDSxd8UKAPKys/l61GihS5St+9PCBc6n6ezt+WHMS6yZMROwtD1mpqba1imIJKJDB9ESHng87RvgZR9Zal+e9g2soYIBjyJfn99Nk6IokxRFUe/xVaPIj3wBNAA6ASbgN6UMnM7KRE1DsjNu0qDjozz56ScA+IZU4r2li4VVkmxzagLbHyvXrYOTqyuXz50jMzVNmI7ILpb2R5FLl109PIjs2hWzycSuJfd9HvVf027YUJzd3DixbTuXzmj7u9G4W1c8fH2p2bwZkV27kJedzaIpUzVfI3En9y+f4GCuXbqsiRadXk9iTCzvdevBvA8mcnTTJnKzsko9rkTyoGM0GOj01JNCjSqK7uVMTUzEzctLiOvjpt/mUZCfz/mDBwGoIchUBSwthg5OTjaH5XP79jOxVx9MRm13mN6JMnAtLvn3ZKqqerPI1z/t8vkSqHmPL1ubm6qq11VVPa+q6kZgMNANuNu8WRLgoChK+RKP+xV+774hEzUNcfVwp+/L4/CrbLGDTUtKQlEU3Ly8hOix7lMTOaem0+sJb9IEVVU5t3+/MB3VIyNx9/HmSlSUZlWTO9F6kMV1at/yFcJcKF3c3Wk/bCgAa2bN0jR20Q/MPuPG4eblxZnduzWvdDqXK0eLvn2KPaaz11OndSvNPtRb9utLo04dObJhI7+99wHvdunGjJfGcyLDFAAAIABJREFUsWPhImFrNSSSsk5weHUefeJxoRrMpluVcNfy5Rn45htCkoGjGzfx9ahnyM3MJKh6dQryDVw9f15zHVZcy3vYbhvy8mjSozsBobLlUFI6qKp6TVXVc/f4Mtzlx6350d1m4A4DBYCtHKsoSjhQCbivLWIyURNAeT8/FEUhNTFJ2MJpuJWoiayoATZb9nN79wnTYKfT0bBjJwAO/S1up5p/lSqEN21CTmamUB2tBg7AzcuL8wcOcuHwYSEaXD3c6T/BYvO9bNrXmldcWw8cgM7enu7PPYujiwt7li1n09zfNNXQ5+VxhEVGApZT+vMHD7Fs2td80n8A00aOJjVRzC7Gkoh8H5NIrKiqyqC330KnFzt+by5SJRrw+gRhh7F2eh0J0dEAXD1/no/79Sc3K1uIFgBX91uJmoOzM11GjRSmRSKxoihKU0VRxiiKEqEoSoiiKO2B+UAMhUmXoihBiqKcUxSlCYCqqhnAz8BXiqK0UxSlEfALsFdV1ft6MSsTNQHo7e3x8PXFkJsr1FEuIDQUnb09CReib7M01hKrXfC5ffuKtYxoTWQXS6J2eMNGYesCANoMGgRYjGZE6XB0dqbjk08AsGbGTGEX4vXbtaNeu7ZkZ2SwbNo0TWN7+PrS6cknaD98GE99/hl2Oh1rZ/2oqVOrTq/nyU8/xrdixWKPu5Yvz/CJH+AVcF9nlv+Rgvx8kuLiOLVzJ9vm/8XiL75k5svj+eSxAZwstCEXgdlkYvfSZcLiS8oOiqIIN+4AMBV+jjXq3In67doJ01EyYW3WqyfVGja4y7NLn6IVtXbDhgpbmyCRlCAH6AdsBqKwJGAngDZFWivtsexYKzr4Oh5YDSwBdmBpeex3v8XJRE0Qnv6WC6y0JHEn4np7e4LCwjAZjVy9EC1Mh4ePD0HVq5OTmUn86TPCdASGhRFQtSrpycnEHD0qTEd40yZUCAkhJT6eKIHtoM379MYrIID402c4vWuXMB39X30FFzc3jm7arPlAfsennsROpyO8SWOGvPsOYHF007JN18XdnZFTJuNUrpztsez0dH558y0unyvdtRaqqnJ00yY+fWwgr7dtz+Shw/n59TdZ8e10di9dStT+Azi7uQmzZL954wYzX36FvStWYjQYhB70SCRgec2YTSY8fHzo98p4oVqKujm7eXnR88UXBKoBFw9Loubu4007aYd/V6SJlLaoqnpSVdX2qqp6q6rqpKpqFVVVn1dV9WqR51xUVVVRVXVbkcfyVFV9UVVVL1VVXVVV7aeq6n2/qH9oE7WMGzeExq9UqyahERGoZrEtQ6ENIqhSrx4m491WRWhDrRbNqVizBgX5/zQXWrooikKjrl2oEBKCIU+cDjs7O1oPHEB5Pz8MeXn3/oFSQm9vT+eRT+Pq4SFsMTtYnCj7vDwOBycncrMyNY1ddK4ksktnuj//HKqqkpFyTVMdfpVDeOKTj1Ds7Kjfrh1BYWEkxsaWumOroig0ePRRxsz4nnZDh+Dg7Hzbc66ciyL2+IlS1XEnzh88xNTHn+TCoUOkJSXxQc/enD94SHMdRS+qDHl5/Pbe+0QdOKC5jpLsWrKU07t2i5ZB1IEDHN20WXh7bGJMLAfX/l3qF8HWw4JBb7+Fi7v7bd/PTE1l/6rVmswgF62o9R0/rpgeY0EBB9asIStNu5bycoWJWtfRo3Es8l5yfOtWrl+9Kvx35MLhw1w9f154orRl3u9C40vKForoF4bWKIriDmR8uv7vO76JSsSgqmqZcF4yGY3Y6XTCtRgLClAURfyshcmEIS/vNgdErVFVlZvXr+Ph6ytcR2JMLIHVQoXE37FwEfaOjjTp3o1jm7fQsFNHTX9XszMy2Ll4CTsXLCQn05I0V28cycA338A7MFATDWaTifVzfmHjL7/edmHXedRIuox8WhMdVlZ+9z0dRgzHaDAw+/U3uHIuCt9KFXnjj9+FvX6jjxxhxksvA/DOooWatsgWxZCXz+Rhw0lNSGD0l19Qq0ULIToAfn37XY5v3UrPF1+g/fBhpRanID+fZV9/Y1sxUpLN835n9Q8zaNqzB4PffqvUdADMfHk8UfsPULN5M0Z/ObXYe8W5ffuZNf4VqtSvx0szZ5SqDivb5v/FgdVrmPDbr7ZqX2ZqKu9370k5T08+WrNK6Gfv+917kpmaymcb1uHs5iZMx9m9e/nxlQkAHqqq3hQm5F9gvaaeemglzuVK7zohNyubCZG94AH4O7nfPLQLr0UteJbcGS3enM1m8z2XfYpOjKyUhcWxYHmdiE7SwPL7ITpJs+oQlaQBtBrwGLmZmej0ehp17qR5fFcPD7qMfJq2gwexd8VKtv45n8p162qWpGVcu8bvEz8k+sjtrcnVGjagQylegN+J+NNn2Db/Lxydndm3chXpKSkEVK3KqKlThL2XpKekMPfd9zCbTPR48QVhSRrA5nnzSE1IoEq9etRodjeX69InKS6OE9u24ejiTNOePUs1lp1OR++xY+74PbPZzL4VKwFo0r1bqeoA0On0ODg58dhrE277jD25w9JGXreVdmsDXNzd6TV2TLHrr4snTwFQpW5doUlafk4OmampuLi5CU3SAKrUqyc0vqRs8dC2PkrEkHzxorDYmTducHTTJmHxJZL/L4qilIlOACdXV9oNHcJ7SxYRGhGhScxz+/Yz9YknbUmanU6Hi5sbXgEBBIZVQzWr7C28CNYCY0EBCz77HNVsZt3sn0lPSaFGs2a89ONMvAICNNNRTJPBwK9vv0NWWjr12raxrdkQwbXLV9jy+x8odnb0n/DKPQ/JSpONv85FVVUe6d8fV4/Sff3o9Pq7LtqOPnyE61ev4le5siYX4zq9nq7PjL7t99FsNnNq504A6rRuXeo6rNRs3sxmHmYl7uRJwLJTVSQ3EhIB8A4Wb0YjkRSlbJQPJA8N62b/TPfnnxPizFXO05MFn0+iQkgIQWFhmscHy6nd3T7EJZIHDXtHR6o3jiz1OCajEWc3N8b88D1Orq44lSuHg5OT0BP4Tb/NIzHWtisVZzc3Hn1ihNDX9/JvviX+9BkqhIQw5N13hP39qKrKsmnTMBoMtBo4QNj7LUDKpUsc3bQZBycn2g4ZLEwHwN4VKwBo3ruXJv82IXVq02rAY7c9funMGW5ev0FA1ar4VgwudR1W7rSmwFpRq1y3rmY67sSNqxbfiLLgGiqRFEVW1CSaYsjLZ8Fnnwuxndfp9dg7OjLnzbeFrUVY/cMMzfeBSSQPOjq9npDatfCrXBkPX18cnZ2FJmmJMbFs+nVuscdyMzNZ/s23XImK0lSLtUvgwJq17F66DEcXZ56e9JnQluVTO3dxdu8+3Ly86Dp6lDAdAJvm/oZqNtOib1/KeXoK05GZmsbJ7TvQOzgQ2bWrJjHbDhl8xxbckzus1TTt2h7vhNFg4PK5c+j0eirWCBeq5UZCAoBmbdwSyb9FJmoPISINZBQFoo8cZc+y5ULiu3l5k5qQwG/vfyDE2Ulnb8+Ml8YJ3Z8nkUj+e8wmE3999rnt/cPqxDl25gxemfMzFWvU0ExLeso1/vz4U05s28biKV8AMPidd/CrXFkzDSUx5OWxbNrXAPQaOwbnImsltOb61ascXr8BewcH2g0Tawd/YO1aTEYj9du3K/X2Syt3StJUVbXtPazbRru2xztx5fx5jAYDweHVsXd0FKrl+hVLRc1bVtQkZQyZqD2EHN0obk7Legq+6vsfbCdYWuLmbWm9OH/gIGtmzNQ8flD16iTGxDDz5fHkZmprNW9FtPWwRPIgs2PhIi6dOYOzmxvthg3l3cWLePKzT6hav57mVb6Da9diNBj45a13KDAYaDdsKBHtxS1YBksFKy0piaoR9YUY3hRl87zfMZtMNOvdC3dvb2E6ipqINO/dS5gOgJT4eK5dukx5Pz+Cw8VWscpC2+PRTZtITUy6VVELCrTswhPQ9SOR3AmZqD2ErJ4xg4zr18UEL7yQMeTm8tenn2n+ZujudevDeuuf8zmyYaOm8a2zGlfORTHrlVfJy87WND7AmpmzyExN1TyuRPKgc/3KFQ79vY7+E17lg+VL6TXmRWGuimazmX2rVhd7LOfmTQ6v3yCsayLl0iW2/PEndjod/V99VWh7alpSEgfXrEVnb1+qdvz/hpgjR7l+5QoVQkKELYe3cnJ7odtj61bC19CUhUQtMy2NKcNHcPGURcvxLdv4cfyrqDJRk5QRZKL2kGEyGklLSmb97DlC4ivc+mAQ0QLp5lV8RuGvzz7n6vnzmsX3qxyC3sEBgPhTp5k94XXNl1q7engwbeQorl64oGlcieRBx97JiVd+ncMj/fsJNwW6cOgwqSW6Eq6ev0BweLimF+DWpFBVVZZ+NQ1TQQGtBjwmdI0FwJbf/8BkNNK0R3fKV6ggVIvWJiL/hC1RE9z2qKoqFwsdH6sIdHz0C6lMfk4OeVlZAOxeupTqjSPLzKoeiUQmag8Z1tmofatWCbHKV+yKf0hp3QLpVqL9pWpEfbbO/wujwaBJfJ1ej3/VKrb7MceO8fPrb1CQn69JfIA6rR4hLSmZb5993vahLZFI7o2Hj49Qm/mi7F+1ynZbURQefXwE436ahV/lEE11HFq3nvSUFE5s20bU/gO4+3jTZdRITTWUJOPaNfatWo2dTkeHESOEaslKS+PEtu3o7O1p3E0bE5G7kZ6SwqWzZ3FxcxNe2UtLSibj+nU8/f2F7sgsOc/p6OJCM8HtqRJJUcrGJ45EM7LS0gFQzWZWC5jRoshporObGy379eXE1m2ahXf39sLJ1ZXAsGoANHj0UYZ/8L6tyqUFJa2qLxw+wrwPJmo2O1YhJASfoCAMubn88tbbFlc0jVultEqMJZL/RbLS0zlReMji6e/Hi99/R/fnn0Nvb6+5llM7drBw8hSWfzMdgN5jxwp1nATY8sefGA0GGnftKnThN8DBtX9bTETatcXVw0OollOFbo+1HmkpvGJ0sYzsT/Pw9SlWHW/eu7dQAxyJpCQyUXvIyEq7ZQ1/asdOYo8f1zS+TqdjwBuvU86zPLmZmbR6rD/tNFzKWr6CH099/hmdnnoSgL3LtXefLJmoPff1NJ6e9LlmH5yKolDrkZaApf1kzcxZ/PHRx5pW9RKiY1g27WshM3oSyYPOob/XYSoooGGnjrz221xCG2izdLwkZrOZ6CNHObtnL+nJyfhXrULViPpCD2IyU9PYu3wFip0dHR4XW01T1VtL2Fv06SNUC8DJHZbkvl6bNoKVlJ1F14qi4BdiqULb6XS0HjRAqB6JpCQyUXvIyEpPL3Z/5Xffa1pN6fHC87To05taLSyJwulduzWLDZZWx+qNI6nTqhVu3t7Enz7DlSjtZtTA4vwYHB5O75fGArD2xx81r2jVafVIsfuH163n+zFjuXnjhibxK9WqyeVzUUweOty200cikdwbVVU5vnUbwyd+wIgPJ+Ls5iZMS2J0NDk3b9ruJ8XGMWX441w6e1aYpm3z51OQn0/DTh01XeZ8J6KPHOHa5ctUqFSJqhFiWw1zbt4k+shR7B0dCW/aRKgWuGUkUkXwomuwdJkANHi0A55+foLVSCTFkYmaAETao2elF1+2HH/qNCe2bdMsvldAAHArUTi1a5dmseHWegCdXk+znj0A2KNxVS2wWigjPprII/374envT/yp05zZvUdTDVXr18epSHuHq4cHtVu21HRusd2woaSnpDDnjTeZ88ZbpCUnaxZbInlQycvKYsSHE4Vb34OlbbsoHj4+jJ3xg+bzT7lZWaiqSlZ6OruWLEVRFDo+8YSmGu6EtZrWvE9v4SYiZ/bsxWwyUaNpUxycnIRqyc/JISE6GgcnJwKrVROqBbDNdbYdInbXnkRyJ2SiJoDYY8e5fO6ckNhZqWno7O2x0+kA6DxqJNGHj2huk1+9SWP0Dg5EHz4irP2tWS+LA9eRDRs01eDk6kqFSpXQOzjQ+emnAEtVTct/A51eT63mzbHT6XB0cSE7I4PAsDDCGjXSTEPtR1pSoVIlwNKSM3noMLYvWIjZZNJMg0TyoOHs5iZ87spK0UStQqVKvPTjLAJCq2qu48iGjexftZodCxZiyM0lokN7zU1VSlLURCSyaxehWuBW22Od1q0EK4FLZ89iNpmoVKum8Fk5sBiKhEVGEhxeXbQUieQ2ZKImgISYGHYsWCQktr2jI2Nn/EDFmjUAqNG0Cf0nvKq5k5mjszPVIyMxGY2c27df09hWvAL8qdm8Ofk5uZrvU7MS2bULvpUqknAhWlNTFbAkSi369qHvy+MAWDRpsqZLuO3s7Gg79NYJZn5OLsu//oZpo0ZzOSpKEw2nd+8h5ugxYXunJJIHFZPRSOyxYwBUqlWLsbNmCEsgky9eZOmXX7FjoeVz9dEyUE07WDhHWL9tW8qVLy9UiyEvn3N792Gn01G7cD5ZBJejosjLzi4T+9OKUiEkhHZDZTVNUjaRiZoAkmJjObppk2bzQEXp8PgIQmrXolKtWgBcOiNulqC2oPbHojTv0xuAPctXCLlY1+n1dBk1CoC/f5qtaTWpZvNmdBk1kiY9ulOjaVMyrl+3ObdpRWSXzrh5eRV7LDC0GmmJSZr8e1StV5c/PvqISYOHsvWPP4uZ7UgkkrtzJeo8ednZ1GjWjBe++1ZoMpIUd5ECg4H8nBx09vYsmjyFDXN+EabHYiJSuDutj3ir9/MHD2LIy6NqRH2hzpPJcRf5evQzNvfJkNq1uHrhgnBTKd+KwdRo1lSoBonkbshETQCJsbGYjEZ2L12meWxr5SykVk0ALp05o7kGK7VbtgDg7O49wub2arVoTnk/P66ePy8saY3o0J6A0FBS4uM5tG69ZnGd3dxw9fBAURQGvvk6ji4uHFizhrN792qmwd7RkVYDHiv2mMlkpG6b1prMdDi7uTH0vfe4dvkyK7/7nom9+vDrO+8RdeCg5u3AEsmDxIXDh2nUpTOjvpiMo7OzUC3JF+Nst00FBSi64tV6rUiIjiY95RoxR49y7dJlfCtVJLRBA811lMSaGNVtLXbJtYu7G8lxF21mM/Pen8jiL74UvjzeTqcTPkMokdwNmahpjKqqJMXGArBn2TJNLdGLYquoCXTn8vD1pVLNmuRkZhJ34qQQDXY6nc1UZO/yFWI02NnR9ZnRAKyf8wvGggLNNXj6+9tcKBdOmkJuVpZmsVv07YuDszM9X3wBF3d3Dq9bz9pZP2oWv1rDBrYVESajkeNbtjBz3Mt8OmAQG3+dS8b165ppkUgeFILCqjH0vXeFzxjl3LzJzeu3ulMCw6ox+ospQgwzEmNi+PGVV9k2/y/AspNLZAKQEB2NyWi0da3UFTyf5uLmXuy+IS+PPuPGyiRJIvkHZKKmMWlJyeTn5AKW5dNHNm4SosMnOBhnNzeuXbpczF5Za6ztj6cFtj827dkTO52OIxs3ajqjVZQ6rR6hUs2apCYksH/VaiEamvXqSfXGkaSnpLBy+neaxXX1cKfLyKdpM3gQI6dMRu/gwKa5v7FHw8S56+hRtiXoVrLT0yjIz0dXaLxTmsgZOcmDRs3mzTWfbb4TSXEXbbd9goJ4dtpXwlYWZKamkRgTY1s7k5WezoZffhVy+AYwc9x4tvz+B9np6QSHh+PpL9aExsW9+L9Lw04dCaldW5AaieTBQPy77ENGYkxMsfs7FiwUcpGmKAqVCtsfRTlQQhGb/h07hV2slq/gS+2WLSnIz+fgunVCNCiKQtdnLVW1jb/8iiFP+0qroigMeutNHF2c2bdyFef2a2fy0nboEHR6PVXr12PYB++jKApLpn7JmT3arC3QOzgwfOIH6B0cbI8V5BtwcXfHVYPZm+NbtjJl+OPMevkVFk6ewqbf5nFkw0YunjxFxvXrsg1TIrkL1pUi7j7ePPft17h7ewvTkllixnXLvN/xqxyC3t5eiJ6czMxi3Qm/vf8BUQcOCtEC4OJ+q6Jm7+BAj+efE6ZFInlQkImaxiQWtj1aSYiOJvrIkbs8u3SpVNM6pyau/TEgNBRPf3+uX71KSny8MB0t+vYBLO2PohLG8CZNCI2IIOP6dfYs035+ESx77nq++CIACz6frNmQd9HWl4j27eg1dgxmk4m5776v2UFCQNWq9HjheQBC6tRGVVVWfDudeR9MJD83t1RjR3RoT79XxnPpzBn2Ll/BmhkzmffBRL555lkm9uzN623bs3DSFLm6QCIpQVJcHC5ubjz39dd4BwYK1ZKVmlrsfocRw6nfrp0gNaAWOeC5EhVFdno61RtHCtNTtNLZdugQ4RU+ieRBQCZqGpMUG4tPUBAADk5OtB44QFj74y3nR3GGIoqi3Kqq7RTX/li9SWO8AgNJio0j7sQJIRqKVtU2z5tHfk6OEB3N+/QmrFEj0pOTWfnd90I0tBk8iFYDB2DIzeWnV18jNTFRk7itBjxG9SaN6fniCzw77UtcPTw4unET34x6hmuXr5Rq7GoNGzBu9o/4Vqx42/cqVKxI75fG2PYfisSQlydagkRiIy0pidFfThWyv60kmUUStfCmTej27DMC1VDsYMfJ1ZXBb78ldB5Mp9fj6OKCm7c37YcPE6ZDInmQkImaxlRvHMlrv8/D2c0NQ14e3Z9/ngGvvyZEi7X1Mf70GaEzMrUfEZ+o2dnZ0by3xUZZy9mokoRGRFCjaVOy0tJtO4G0xs7OjkFvv4mDszN7l68Q0iqjKAp9XhpL3TatyUxNZdb4V8nOKP1ZSjs7O4a++w7B1asT3qQJr/wyh+DwcBJjY/nq6ZGc3l26rZgVKlVi3E+zCI2IKPZ4Ymwsnw4czIY5v2i6QsCQl0fciZNsX7CQ3z/8iM8HDWHjr3M1iy+R3Isuo0ZSuW4d0TKAW62PXgEBjPhwotCDlZLt0n3HjysTFSwXd3e6PTMaJ1dX0VIkkgcCmahpTJPu3XFwcsTT3w+A9OQkYQPZ7t7eePr7kZmaSnpKihANAKENInBydSX+1CkyU8XtsWraozs6vZ7jW7aSnZEhTIe1qrb1z/nCzE28AwPpWdgGuODzSUL23NjpdAyfOJGQOrVJiY9nzptvauKS6uHra7OL9grwZ+zMGTTp3o28rCxmT3iNdT/PKdWZMVcPD577ZhqRXbsAluStSv16ZN64wd8/zebDPv3467PPSYyJvcef9J+hqiqXz51j99Jl/PXp53wx4gneerQT3z77HMu//obD69aTnpJCeJPGpCYmCXOsBYQaIEnKFoHVqt37SRqRlZqGvaMjT0/6TOi+MiheTavVsiWNu3UTqOYWYY0a0qR72dAikTwIPLSJmqi9XVa8Ck+2UpOShOqoVNPS/hh/Wlz7o97enprNm6GqKuf27ROmw83Li7ptWmM0GDi2eYswHZVq1qRu69bkZmZyYM1aYTpa9OtLaIMGpCUlsXvZciEaHJwcGTVlMj7BwcQeOy6kyujg5Mjgd97msdcmoNPrWT/7Z3YuWlyqMfUODgx97126PfsM5f0q8NLMGYyfM5uGnTpiNpnYv2o1U4aP4ODf98/8RlEUnFxdSU1M5PTuXSRER982E2fIy+P7F8fycb/+vN62PW926MinAwZx/uCh+6bjn0hLTuaXt98pVtnMzrjJ8a1bWfzF1PuevP6nqKrK4fUbhB58WUmIji4TC9xv3rhRJhLr/JycUl07oqoqmWlpDHrrTYKqV7/r80xGoyZt7WaT5TDJxd2dgW++fseWRxFulD3HvHhbpVG63hYn5shR0RIkZQjlYXuBKIriDmS8vWgBvsHBwnQkxsSiqmZ8givi4OQoTMfVCxdQzSoBoVWF7sO5ev48BQYDlWrVEmr5fPXCBbLS0gmLbCRUR1JcHIkxMdRv316ojutXrnBq5y5aDxwgtI3n2uUr7FqyhF5jXhT6e3rx5Ck2/fYbj3/8sWav26vnzxe78EtPucbuJUs4+Pc6Jsz9hXKenvc9prGggJPbd7B3xUouHLqVhLn7eONbsRKZqalkpaXZLsBf/H461Ro2vO86rJiMRrb/tYD1c37BkJtLv1fGk5aczIVDh7l6/rztQq/niy8Im31JvniRxVO/JPrwESI6tOeJTz4WogMsv6ezXnkV78BAxvzwnbA2M5PRyPdjxpKRco1nvpqKX+XKQnQArPphBgdWr2Hoe+9Ss3mz+/7n52Zmsu7nOfR9edw/Pu/Y5i0smjyFbs89S8t+fe+7Div5OTm82aEjIz76kIYdH73t+8kX4/l61Gia9+5Fr7FjSk3HvTAaDHzU7zEq167NU5M+EzpDN/35F1BVlZGTJ+Pq4X7vHyglVs+Yyebf5gF4qKoq/pTjH7BeU089tBLncqX3PpOblc2EyF7wAPyd3G/EbqoUiFspXNz8J5SFwWeAoLAw0RIA/vEEUkvKyt+Hf5Uq+FepIloGPsHBtB0yWLQMfCsG3/MCSAsq163DqC+maBqz5GujfAVfuj//HF2fGV1qybPe3p4Gj3agwaMduHb5MvtWruLAmjWoZpXnv/3aliwbCwrISksvZrt9v4k5eozFU6eSFBtne2zpV9Nst51cXQltEEFYZCS1W7YoNR1FyUxNw83L8hmSn5vLpl/nsvXP+ZiMRjx8fanfvr0mOu5E9JEj/DThdQy5uQRXry5k8bOVtbN+JO74CXyCg3H38RGm49rlK2z/awGq2WwbO7jf6Owd6DXmxX98jqqqbJs/n5zMTFt7dWlhNpup3749DR7tcMfvH9u8mbzsbIyCu4sun4si88YNMlNThSZpZpOJ+FOnAUo14fg3tB8+zJqoSSQPb6ImkUgkDzJaVTh9K1ak54sv0HX0KE7u2MmNhAQqVKoEWBK68hV8SyVuZmoqK7/7nkN3aO/08PGhZf9+VG8cSXB4uKZV1nP793N4/QaGvf8eJ3fsZNm0aaQlJWOn09Fu2FA6P/1UqV+E342ze/fxy5tvUWAw8Mhj/ek7/mVhFflTO3ex5fc/0DsUih1CAAAgAElEQVQ48ORnn+BcrpwQHQArp0/HVFBAq4EDSu0A7N9U2ONOnCT+9Bk8fH3vmkDdL3R6PY+99updk59jWyzt/RECDxUAYgtdlqvUqytUR8a1a5iMRnwrVhTurlsWFslLyg4yUZNIJBLJPdE7OJT6xSVYKgF7l69gzcxZdzXTyUxLIzg8nJDatUtdT1EunT3LL2+9g09wELNfe53Tu3YDUDWiPo9NmCC0U+LEtu389t77mIxG2o8YTo/nnxNWoUhNTGT+x58A0P/V8UI7Fc7t38+pnbtw9fCgy8inhekA2DZ/PgCtBg4o9cMFByenu1ZTE2NjSYqNw8PXV7hjZtzx4wBUqV9fSHxDXh56BweuX70KgHfh+iSJpKwgEzXJQ4XJaBQ64ySRSP4Z66qMyC6dKcjPx5CXT0H+rS9DXl6h46SKqqqaJSPXLl/hp1cnYMjNJeFCNAkXoinnWZ5eY8YQ2bWL0Latw+s38OfHn2A2meg6ehQdn3pSmB6jwcDcd94jJzOTyC5daNqzpxAdYHm/X/71twB0fWZ0qbbo3ovrV65wasdOHJydad5L3N8JYDPLiuggdgbabDZz8eQpAKoIShgzU1OZ/8lnVK1fD7A4Hl+/ehWjwVAmxg8kEnnFKtEUQ14+9o4Owi4i1s3+2TLbI+DDScuLSonkQcZOp8PRxUVYC2FJMlNT+XH8K2Slpdse0zs4MOqLKZpX9cBy0e8dFISiKOxbuYqFkyajqiq9xo6h3dAhmuspysrvvufS2bP4VanMY69PEPqet2vJUpIvXiQwrJptT6Yoti9YiKqqNO3ZQ2jCqKpqsURNJNcuXSI7I4MKlSqViinSv8HT359LZ84Qc9TitHh4wwb2rljBu4sXCtEjkZRENsJKNOX6lSscXPu3sPjxp06z7qfZQmLfvH5dqN2+RCL5z8nLzubHVyfYWqOsGA0G/vzoE81XAqiqyqIpX3D53Dl2LFrEgs8noaoqj702QXiSdmzzFnYuWoyDkxNPffYpjs7OwrRkpaWxbvbPAPQbP17o3FF2xk0OrF6DYmdHm0EDhekAi+N0Snw8nv5+Qg4ZihJnnU8rrGaJwM7OzjZzC5CXlUVE+/ZlYjm4RAKyoibRGJ1ez9KvplGtYUO8ArR/I/QKCGDjr3PxCQ7WfOmmh68v6+f8Ql52Nq0HDtA0tkQi+c8xFhTw6zvvcuVcFADlPMsT1qgRYZGRhEU2wjswUPOK0Zndezh/8BCZqZ+TGBODYmfH4LffEr5EOOXSJf767HMABrzxulArfoC1s36yXHR3aE9ogwihWvYuX44hL4/67drhHRgoVMuxzZsBqN+uvfAOj9jjlkStqsBEDaBC5RCuXrhgu992qHinY4nEikzUJJqi0+vIz8lh/ief8Pz0bzVvQbQmhwsnTcYrwL9Udz/diSr16rJs2tfkZWUJmSNJS0qSJ4USyb/AbDaz/Otv0ent6f3SWKo3jsS/alWhMz3GggJWTJ8OYEnSFIURH07UxOTlnzDk5TP3nffIz8mhee/eRHbpLFTPlajz7Fu5EnuHe1vmlzbGggJ2Ll4MiE8AirY9iv6dAYsLJkCVemITNb+QENvtao0aUrFGDYFqJJLiyNbHh5Brly9jNpuFxNbZ2wMQfeQoOxZo3wPuGRAAWIbMf3nzbVLi4zWNX7XQ2ervn2az4tvpaL1wftNv89izbLnmcSWSBw3VbKbv+HGMnjqFtkMGE1itmnDb7N1Ll3Ht0mXbfVVV+fvHnzi8foPmWnIzM23vI8umTSMhOpqgsDD6jhe771BVVZZ9/TWqqtJ+xHDhB1NHNmzk5vUbVK5bl8p1xDosJly4wLXLl/EKCKBiTbHJSGZqKtevXKGcpyc+wcFCtRSt/opuH5ZISiITtYeQmKNHObJho5DYRR0X18ycRWKstvMdRdstczIz+enV18hKT/+Hn7i/hEbcasHZ/tcCFnw2CbPJpFn8Bo92YNGUL/j17XfIzripWVyJ5EFDp9eXKYfY7IybbPh5TrHHvAIC6DBiuBBTiN3LlnNm9x4Orv2bfStX4eTqyhOffoK94733iZUmxzZvJvbYccr7+dF++DChWiwLrv8CoF0ZaKcraiIiuu0xrsj+NNFarImaX5XK1GjWTKgWiaQkMlF7CMlKz2DNzFkY8vI1j63T29tuGw0G/vjwY4wFBZrF9yqsqFm5fvUqc958C6PBoEn8CiGVKOdZ3nZ//+rV/PbeB5rFrxoRgVdgICe2bWfq408QfeSoJnElEsn/j/Vz5pBTuFeufIUKDHj9Nd5aMJ+mPXtonlCqqsrBNWtZOf07Fk35AoAh776Nb0WxlRFDXh4rv/sBgF5jXrzrHjGtOH/wIIkxMfgEBVGnVSuhWsqS2yMUnU8Tsz+tKL4Vg1Hs7Gg3ZIjwqrlEUhL5G/kQkp2eQXpyMjsWat96qNMXd966ev48G+b8oll8Dx+fYu5fIXVqU/uRR4oNEpcmiqLc1o9/Yts2/vzkU0xGY6nHt7Ozo0m3rgCkp6Tww5ixrJ31oyaxwXIhtf7nOWRcv65JPInkf4Hki/HsXrIUdx9v+r0ynrcX/kWLvn3Q29vf+4dLgfjTp0m5dImUS5coyM+nZovmVG/cWIiWomye9zvpycmENmhQJpKRbX9aqmmtBw0U6joJcCUqiutXr+ITFERweLgwHftXrSYvO5u449aKmtj5NLCs2qhSry6NOncSLUUiuQ2ZqD2E5NzMAGDT3N/ISkvTNHbJk9/yfn4cWree+NOnNYlvp9NR3s+PZoU7da5fvkKrx/pralNc8gRx9Jdf8PhHH2p2Kt64Wzdbq4mqqmz8dS7fPf8iNxISSj22g5MTzu5ufPrYQFZ8+53mv38SyYPI1j/+pOeLL/DOokW0GvCY8PbCkitWzu7Zy7SRo0lNTNRcS/LFi5iMRlITk9j6+x8odnb0ffkl4e10iTGxnNu/Hxc3N5r06C5UC5SdtsfY48f59tnnuXL+PHoHBxQ7haObNgvTY6Xf+JfROziIliGR3IZM1B5CstItiVp+Tg7rS8w8lDbWZKRWixYAVAwP5/1lSzR1Weoy8mkGvvE6YZGRZGdkcGjdes1iA4Q2iKCcZ3m6PfsMAMu/ma5ZRQssc3rVGjUq9lheTjY7FiykIL/022Fb9u2Lp78/2+bP5+P+A1gzY6acl5NI7oLJaKTv+HG0HTIYByexCRpAQX4+RzZuKvZYk+7deGXO7Ntay7XgwNq/2fL7H6z87nsKDAaa9epJUPXqmusoiXU2rUXfPkL3yUHZant0dnMjMSYGs8mE0WBg2tOjyMvOFqoJKBO/MxLJnZCJ2kNIdsYt84w9y1do6nxop9Mx+J23GfbBe9jpdJzbt4/8nBxN20Iad+uKoii0GTwIgB0LFmrqghhYrRqD336bDiOGExQWRkp8PDsXLdYsPkDTHsV3LlVr0IC+41/W5KRep9fTa+wYAAy5uWz6bR4f9+vP3z/NJrdwBkcikVjQ6fU4uriIlmHj1M6d5GVlAeDo4sLwiR8w5N13hGmMPXacdbN/5viWLTi7udkOwERgPXC7eeMGhzdsQKfX88hj/YXruXz2HKmJifhWrEhgWJgwPQDO5coVux8YVo2mZaDiKJGUVWSiJgBVVUmIjhYWP6dI9cJsMrH6h5maxm/aozsu7u6ERTaiwGDg7L79msa3UrN5MypUqkTyxYuc01CDTq+n9iMtsdPp6PvKywCs/3kOmanatQHWbdMGJ1dXOj75BA7OzuxaslRTJ9BaLZoT3rSJ7X5+Tg4b5vzCx/0HcHr3nlKNraoqu5Ys5djmLTIxlEj+Q6xtj5Vq1mTC3F+EzvUY8vK5fPaszTlXNZv5+bU3OLFtuxA9+1auIvrIEXYtXoKpoICGnTri4esrRAvA4fXrObZ5i621UHTbI1gqakXpM+4l4fN7EklZRiZqAkhPTmbT3N+Exc8uYkdfvkIF4k6eIOboMc111GvbFrCYaYjAzs6O1oMGArB9wQIhGkIjImjwaAfysrNZ++OPmsV1cHKi09NP0Xnk0wx68w0AFkyaTPLFi5rEVxSF3mPHohRx2NI7ODB66hfUbtmi1GPXbdOaFdO/492u3Zn+/Ats+m0eCdHRcr+cRPIPZFy7RtSBg7QbNpSxs2YI33916czpYm3jednZVGvYgLptWgvRkxIfz69vv8vupcsAbF0bosjLyWHeBxPZv3o1AKENGhB34qSmrfYlKVpRq9umNWEl2vAlEklxZKImgMTYWI5v3UZacrLmsU1GIw7OznQe+TRgacP7cPUq/KtW1VxL3datURSFM7t3azIbdSciu3bBxc2NqP0HNN/pZqXniy9g7+jI/pWruBwVpVnctkMGo9PradipI4/074chN5df3nqH/JwcTeIHhFaleaGpi51Oh9FgYPEXUzWpLHr4+DB66hfYOzoSe+w4a2bM5IsRT/Bh774smDSZk9t3lIm5CYmkLBF14CCjv/yCXmNeFOY4WZTYY8eL3e/x4gt0f/45YVWj1MREsjMyyLl5E72DAyu+/Y51s38WogWgIN+A2WSydQ7MHPcyB//+W+h+QGc3S6Kms7e3tcBLJJK7IxM1ASTGxmE2mdi1eInmsVWzmfFzZtv65uNPn0ZRFFw93DXX4ublSdX69cnPyeX8wUOaxwdwdHbm/9g776iorq8NP5deFUFFEREVe++9xt57b7F3E00z9l5iL7H3bmIssXdjL1hRFBQRRFEQpcPAzP3+GCGoMeUX5h78cp61ZsG93GG/Isycffc+767cqiUAv+38SYiGLDlyULd7N1RVZfe8BZpVddIuZloOH4ZHkSK8CAxk58zZmmlo3K8vNvb29P1hFu6FCvHs4UOWDBrMm5dhJo/t5pWfnlMnv1PViwwL49Leffy2c6eQGykSSUamfKOGFK5USbSMVB7dMiZqiqLQ/ttv+EzwgOtXIb875ybrdMS8fk3tzuIGXSe/dwM0m0duWg4fJkiNEVsHY+tjrU4dyZorl1AtEsmngEzUBBD6tnJzce8+EuPjNY1tYWVFJhcXHJycyOruTmxkJK9CQjTVkJaSdWoD4tofAWq0a4uZuTnehw4Tk6YtVEvqdu1ClhyuPL59mxvvOappgYWVFT2nTcXO0ZHrx45xYfceTeI6ZMlCu69HUahSJQYvWYRniRK8DApi8aDBmowLKFKlCm1GfvnOOTNzc0rUroWrp6dJY0e9ekWInx9hwcFEhoWREBubutdGIsmIZKS9RPrkZALv+GBmbk63SROp+vaGmyhUVeVVmvEEmbNmpd/cH7CxtxemKW2nipm5Od0nTRTuQGnr6IijszP1e/YQqkMi+VSQiZoAQgMeAxAfHf3BPBotyVOsKIBmM8z+iJK1awHg89tZYX3zTtmzU7puXZJ0Os0SlPexsrGhxVBjG8i+JUs1T+DBaNvfdeJ4AHYvWEjQPV9N4pZr2BAzMzNsHRwYuGAeBcqVI+LZM5YMGsLLoCCTx6/etk3qXkULKysMej275y1g8YBBhD5+bLK4do6OXD10mOkdOjGxRStG12vAqOo1+aZWHcY2asLk1m2Z0/NzYS25EklGJsTPH1Wvp/esmZStX0+0HGJev0H39nXbytaWvnN+IIurq1BNSTpd6ueN+/fTdAzOx7B1dKDJgP5CE1iJ5FNCeKKmKMoQRVECFUVJUBTlsqIoFf/ieidFUZYqivJcUZRERVH8FEVp8mfPyUgY9HpepFn8/bZzJwaDQYiWlCHPgT7iEjWn7NnJU6wocdHRPLx+XZiOlE3f53b9QnKaNzctKVW3DvnLlCEyLIyTmzYL0VC0alXq9+qJPimJ9WPGEhsZqWl8azs7+s75gSJVq/Dm5UuWDBrCs4ePTB635bChFKtejcKVKjJo0UJccrkR6OPDnJ6fc3TtOpKTktI9poWVFa1GDKf/vDk4ZHFKPZ+k0xEbGcnr0FCqt21NTgH7RyWSjM6zhw8ZsGC+yc2H/i6vnhk7UxQzM3pOnYx7IfFzuVIqavnLlKFu1y6C1RjJ5OJCxaafzJJNIhGO0ERNUZSOwDxgElAWuAUcURQl+0eutwKOAZ5AO6AQ0A8Q17v3D3n17Nk7d7nCgoLxvXhJiJY8xY2JmsiKGqR1fxRjqQzgUbQIeUuWJPrVq1QrY61RFIXWX45AMTPj1JatRKRpo9GSRn37UKBcOV6HhrJl8hTNbyRY2VjTe+YMStapTXREBEuHDCXI17TVvZS2oGLVq1GwQnm+2byJOl06Y9DrObRqNfN69ebJ3XsmiV2kShW+3rSRghUrfPC1nTNns3ToMC7u3af5UHBVVXkR+IRL+/ZxeM1a6YgpyVCUa9iA/GVKi5aRSsQz4+t1m5FfUrRqxkgekxITsXFwoOv4sRmmbdXcwiLDaJFIPgVEV9RGAqtUVV2nquo9YCAQB/T+yPW9AWeglaqq51VVDVRV9Yyqqrc+cn2GI6XtMQUrGxt+E2QN7+blhaWVFSF+/ugSxLguwu/tj3fO/CZ0j06qVf/2HcIWpbkKFKBKyxYk6XTsXbxEiAYzc3O6T55E5qxZ8b1wkRMbN2muwcLSkh6TJ1GuUUPioqJYNmwEAbdumzSmtZ0dlVsYXSitbGxoMWwoX6xeiZuXF88DAljYfwB7Fi4ySVtqJhcXBsyfR/Mhg1MXMW5eXljb2fHQ+zo7Z85iQrPmrP76G64fPWYSDclJSQT6+HBqy1bWfPsd45o0Y2bnLuyYMYscefMKn78kkaTF0tpatIR3ePXsGbU7d6Z62zaipaSSrNPR4duvyZIjh2gpEonkf0QRtSB9Wx2LA9qpqronzfkNgJOqqh/sDFYU5SAQ8fZ5LYEwYCswS1XVv7XCVxQlExA54/hRIT3SxzduIjE2loc3bhJ45w5Df1xKfEwMBStUwMpG+zeeRQMG8fj2bYYtX0a+UiU1j5/CDz168sz/IUOXLSV/aTF3SfXJyUxr35HXoaEMWboEr7JlhOiIefOG6R06ER8dzeAli4TNmQm4dZulQ4aiqiqDFi6gQHntdRgMBn6ePYeLe/diZWND3x9ma65Dn5zMyc1bOLpuPck6Hc5ubnSbMJ68JUuYJF7QPV82jZ9AhSaNqdO1C74XL+J99Bj3zl9Ibcu1srGheI0afNajG25eXv8qXuAdHw6uXEXg7dvvVPvT4urpia2DA7aODtg6OGLjYP/22BEbe3uKVKmCc07TLgZD/P3JVaDAH37NoNcT+vgxWVxdPxioqzUJsbFYWFkJt6/XJydjZm4uPMFWVVW4Bi24d+EChStXxsxM9P3v37l16hSl6tQRLUPyD3n94gWTW7UByKyqqratFP+QlDX1nGv7sHUw3Zo6PiaWr8q3gE/gZ5LeiBumAVkBc+B9D+wXwMd2vOYD6gJbgCaAF/AjYImxffIDFEWxBtJmQI5gtOEWkajVaNcWazs7Tm3ZSo68nthlziS0faNk7Vpk9/DAxt5OmAaACo0bE+x5Hxs7cTrMLSyo1bEDfte8hW50dnByolG/Plw/cjTVylgE+UqVpPmQwZz/ZTd2AsY3gHEoeftvv8bSxhrvw0dwyJJFcw3mFhbU79WTUnVqs33GTJ743MXaznTOaR5FizBqwzoe3byFpbU1JWvXpmTt2sTHxHDnzG/cOHYcv2vXuH7sGDU6tPvX8TxLFKf7pIlcP3qUq4cOE+Ln98E1fzUIvf+8OSZL1CKeh7J/2TJiIl4zeMkiwGjEFOhzl0AfHwLv3OHJ3XskxsXRfdJEyjaobxIdf4UuIYFzP+/i5OYtNOrXV2hlJTYykg1jxlGgfDnq9+opTAfA4VWrSU5OpunAAUKTGJ+zZ/H3vk6TAf1N4nz4d9sdXwQGcmH3Hup07YpT9mzpriMtf5akJcTGcnTtOso2aCB0P52qqhxbvwGPIkUoVKmi0KT+8q/7sbK1oVj1GkJunKdwastWYbElGQ+RFTU3jHvLqqqqejHN+dlALVVVPxjWoiiKH2AD5E2poCmKMhL4WlXVnB+JMxGY8P55URU1ScYmo9z9Nej1oCjC786qqoouPh5rgQl0io7IsHCTL2z+CoPBQLDv/VTHVFFER7zm7rlzVGreLN1/X589fMS1w4fxPnKEqPBXmFta8uWaVSiKQnx0DPExKY9oEqJjiI+JpWrrVmTL7Z6uOhJiYzmxcROnt+8gWafDq1xZsubKRaCPzwct5IqikCNfPur17KG5A2CyTsfFvfs4tmEj0a9eAVCpWTM6jRmtqY4UngcEsPab7wgPCcEllxvfbN6ElY2NEC2X9x9g+7TpmFtaMmr9WmHGOPExMczq3JXI8HChyTzA5kmT8T58hLrdu9F88CBhOq4cOMC2qdMpWq0a/ebMFqYjLPgp0zt0xNnNjXG7xMwyjY+OxtbRkTENGhEXHc3ME8eEvucF3bvH/D794BOoHsmKmukRWVELB/TA+/61rkDoR57zHEh6r83RF8ihKIqVqqp/1LczA6NhSQqOwNP/TbLk/zsZIUmDjDOvSFEU4Ulaig7RSRoYK3yikzQwDouv3KK5Sb63m1d+WgwdQrNBA/G7eo2rhw4ReMeHam1amyTe++iTk7m8/wCHVq4i5vXr1PMPva/z0NvoDGvj4IBnsWJ4liiOZ4ni5ClWTJMbb8H376danOuTk7l68CBH1q7nzdvh6AXKlaNx/34ma4v9K3zOnmPzxEkkxsWRv0wZek2fKixJ87t6jZ0zZwHQZewYoe6lvy75kcjwcApVqkgZgVb+YcFPuX70GJbW1tTuJG4QNoD3kaMAlG/UQKiOgJs3AchfupQwDRvHT6RUnVrERUfj6OJCclIyQde8hbT7A2TPk0dIXEnGRFiipqqqTlEUb+AzYA+Aoihmb48/5qJwHuiiKIqZqqopVnQFgecfSdJQVTURSHXKyCgLcYlEIsnImJmbU7hyJQpXrqSZyc/9y5fZt2jJH86OUxSFFsOGUqhSRVw9PTWvNh/fuInHt27TZ/ZMbhw/zuHVawl/arzn51m8OE0G9Be2sFNVlRObNnNw+QpUVaVq61a0Gfkl5hZi3uKfBwSwbvT3GPR6mgzoL7SC9fD6deMeV1tbOnz7jdA1wIlNm1ANBqq0aomjs/Zt3ClEhofj730daztbilWvLkwHQMAtoxecqL3pAPZOmdkxw3hTIS4qivFNm9Fm5JfC/p4lkrSIrKiBsdK1QVGUa8AV4AvAHlgHoCjKRiBEVdWUHpJlwFBgoaIoi4ECwPfAIq2FSyQSyX8FLSq8D6/f4Nap02TL44F9FifioqKIi4omLioKXXw8qqoScOsWNTt20DRJU1WVI2vWcmTNWrLmysXs7j148TgQAPdChWgyoB+FK1cWlgDoEhLZMX0G148dw8zcnLYjv9Ss+vlHRL16xapRX5EQG0ul5s2o17OHMC26hITUBXiTAf1xzvmHOyQ0IeJ5KFcPHsLc0lL4TLMbx46jGgyUqFVLWMU1hUdvK2r5BCZqrmkqWPqkJOydnKjQpLEwPRJJWoQmaqqq7lAUJRswGcgB3AQaqaqaYjDiARjSXB+sKEpDYD5wG+Met4XALE2FSyQSiSRd8Spb5qNOq8k6HXHRxqQtWafTbHGpqir7ly1PHUAfHmIc2ema15Mm/ftRolYtzRO05KSkVEfJNy/DWPvddwT73sc+c2Z6TpsizCUWIDE+nlVffc3r0BcUrFiB9t98LbSCdXj1GsKfPiVP8WLUaNdWmA6Ak5s3Y9DrqdayBZmziW3jTml7LNdQbNvjm5dhvAp5hqOLC1ndcwnTkT2PxzvH1du2EZ7ASiQpiK6ooarqEj7S6qiqau0/OHcRqGxiWRKJRCLJIFhYWZHJxYVMLi6axVRVld0LFnJ257sGBw5ZstD3h9lkzaX9wlKfnMyO6TPpOmEcT+7eZc23o4l+9Yqc+fLRe/ZMIZpSMOj1bJ4wkaf3H5AzXz56TZsqrPUSIMjXl9PbtmNuYUHH0d8J3fcbGRbGpV/3Y2ZuTt1u3YTpAHgR+ISnDx7g6OwsNKmHtG2PpYQm9Gn3hFlaWWWoWXgSScYZ+CGRaIAol1OJRPLpYDAY+Gn2Dx8kaWBMlvYtXkJclPbGY6e3befa4cOc2b6DJYOHEv3qFcVrVGf4yuVCkzSAPYsW43P2HJmyutBv7g/YOjgI05KS0KoGA/V79RRqZAJwcstW9ElJVGjc2OTzBv8K7yNHAChTv57QRBrSGomIa3sEyObujvK2nbpC0yZCxsBIJB9DeEVNItESv6vXcMnlJmxRkxgXlyFcFCUSyR9j0OvZPn0GVw8ewtnNjVwFvMhVoAC5ChYgV4ECOLm6Crn7/zwggEOrVgOwZ6FxW3b9Xj1p1K+v8DEeZ3bs5OzOn7CytaXvnB/IkkNsMnJy8xaePXxIznz5+KxHd6FaoiNec3HPXhQzM+FaVFXl+rFjgPi2R0i7P02c4yMYK/Yubm68CgmhdmexbpwSyfvIRE2iOb4XL1G4ciUhix1bBwdWjPiS4SuX4+jsrHn8vYuXULdbV+F3vyUSyR/z6tlzKjZtSusvRmDrKG7gfFr0yclsnTIVfVJS6jmPokWp0rKFsCTt4fXreJUty53fzrJ34SIUMzN6TJlM7kKFhOhJ4UXgE46sXYdiZkbH70en7ucTxent20lKTKRco4bpPmvwn/LE5y6vQp6RzSN36pgJERxbv4EqLVsQGvAYW0dHcgiueIKx/TFn/nxky51btBSJ5B1k66NEc3wvXeLyr78KiZ09jwfhISGs+HIUCbGxmsd3zpGDhf36E+jjo3lsg15PcpqFnkQi+ZBsud3xKlsmwyRpACc2bebp/QfvnHv64AH7liwlNlL7FsxAHx+2TZvBk7t32TR+Aqqq0mbklxSrVlVzLWkxGAzsmDETfVIStTp2ED7zMDYyivO7dqEoCvUFul+mcO2wse2xXIMGQveEXdi9h8WDhgCQq4AXD1WGE6QAACAASURBVC5fwd/bW5geANc8HtTt2lWoBonkj5CJmkRzrKyt2T1/IS8Cn2ge28bensxZsxLi58fab0eTrPvD8Xsmo0iVysS8fsOPQ4Zx88RJTWObmZvz8w9zCLyjfZIokUj+N0L8/Tm6dl3qsUOWLNTv1ZNxv/xMz6lTsM+cSXNNp7duJ+LZM5YOGUZSYiK1O3fOEAYMF37ZzePbt3F2c6NRv76i5fDbzp0kxsVTsk4dXD09hWrRJydz86TxPadsA7Ftj9b2drx8Ynz/f3j9Bmu/Gy28XbZ848Z4liguVINEPIqiWCuKclNRFFVRlD/dPKkoyum316V9LE9vTTJR+48SHREhLLaVrS26hAQ2jZ+geaIEvzs8+Xt7s3nSFM2G+QK4FShApqwuJOl0bBg7jhObNmtqcFKoYkUWDRjIL/PmC6koSiSSv09yUhLbpkxDn5yMZ4kSdJ80kQl7d9NkQH+csmcXounVs2fcPnMGgKTEROydnChcuSK6hEQhegJ9fAgLfsrr0FD2L1sGQMfvvsXa1laInhTiY2I4+9PPADT4vKcwHSnvb/cvXyH2zRvyFC8mvAXTxt7+neM6XToL3w7g5pVfaHxJhmE28OwfXL8KyJnm8U16C5KJ2n+UPQvEzQhPmU8S4u/PgeUrNI+f1or31smT7J6/QLNkSVEUClf6fbrE/h+XsXPmLPTJyZrEL1m7Fk6u2Tn708/M6tqdexcuaBI3BRGJuUTyqXJmx05yFynMVxvWMWLlcso2qC98z9WZHTtRDanjTYl984Zf5s7n6YMHf/Is03Hnt7PsWbCQn2b/QGJcPJWaNaNghfJCtADEvH4NwLmfdxEfHU3xGtVx8/ISpuf0tu0E37/P9ZTZaYKrafBuopY5WzbhJisSCYCiKI2BBsBX/+BpcaqqhqZ5pHsvukzU/oMY9HquHzuG78VLQuKnHSR5ett2zXVk93x3uOW5Xb9wbP0GzeIXqVrlneNL+35l5chRxMfEmDy2uYUFNdq3B+DNixesGvU1m8ZPJDritcljA/h7X2fzpMkE3fPVJJ5E8ilTvU1rOo7+jlwFC4qWAkBcVBSXf92femxuYUGD3p/z1cb15CtVUogm3/MXuHfhAr4XL+Ho4kKLYUOE6Ehh/ZhxvAwK4sz2HQDU79VLqJ43L1+yfMSX3PntN8zMzSlZpzavX7wQOqrGxu73RK35kMHCq58SiaIorhirY92BuH/w1K6KooQriuKjKMoMRVHS3dZbuj7+B4mPMba87V20mIIVyms+S8UyTaIGsHXKVL7ZvFEzF0bXNBU1gNKf1QWMNsqOzqafn1KoQnnMzM1TW1Ky5spF0apVCX/6VBMnrsotmnNkzRoS4+IBuH7sGPcvX6bViOGUb9zIpJvMi1SpzLVDh5nfpy+exYtTo0N7StWpLXyej0SSEcloozwu7t2HLt74uuFZogQdvvtG6Iyy16GhPA8ISD2OffOGub16G41NqlfTXE9yUhKPb99mfp9+JMTEULhSJTyKFtFcR1oSYmNTZ/4pisLkVm2o260rTQcOEKYppaKWt2RJyjaoL0yHJP24GhKClb3pEm5dbHzKp47vrVESVVX9V33XivEbrgeWq6p6TVEUz7/51K3AE4ytkiWBWUAhIF037MrV0X+Q+Gjji/aLwEAu7tlL9XZtNY1vbftuohbz+jXbpk6j39w5mjhRpbQ+Fq1alXsXLpAQG0eDz3uZPG4Kto6OeJYoTmjAYxLj4ogIDSVfmdKa2VrbOjhQqXlzftuxM/VcpqwuRDx/TnREBJlcXEwav/XIL/C7dpVAHx8CfXzYly0b1dq0pkrLFnLQqESSQUlOSuLszp+wtrOj+ZDBVGnVUvj8tve7MRRFoWGf3kKSNIDwp08x6PUkvO2OCPH3Z3a3HnSbOEHYHqjEuN+LA6qqkqdoURr17SNESwrW9nYoikKbkV8KdZ+UpB+l7fN/sPcwPUkgFmONmqfvfWkSMPGPnqMoykzg27/41kUwtjs6AjP+iSZVVVemObyjKMpz4ISiKPlVVX30T77XnyFbH/+DxEVHp35+ePWa1LttWmFpbUzUUv6o2339FfV69kh9czM1mbNlo3H/fvSYMgm7TJm4f+kSwffvaxI7hSKVK9Ni2FDq9eqJQa9nx/SZmu1TA6jZoT1KmkVWYlw8VVu3MnmSBuDg5ESbkV+mHkeGhXFwxUomtWrD9mkzCAt+/3U4fXly967w1h+J5FPjxvETeBQtynfbtlKtTWvhSRqA78WLqZ/bZcrEwIULqNi0iTA9oY8D3zmOef2a+r16CjWqSEiTqNk6OtJj8kThHQw29vZUatEc90IZo6VX8knhDmRO8/iz5GouxkTszx4BQF2gCpCoKEoy8PDt868pivJP9sVcfvsxXTelin+l/Y8S9eqVsNjxaRK12MhIjq5br2l8Kxsb6nbvRrPBgwB4dOMG+UqV0mxukZmZGfV79cTazo6aHYz7tY5v3KRJ7BQqNW9GhSaNqde9G655PQnx80vd06AFLm5ulKhVk2LVq1GwQnleh4ay+utv0SUkaBK/9GefUaJmzXfO2WVypHDlSjjnNK1Ns33mzCzsN4BJLVqxbvT3nNqylYBbt4S51kkknwJ5ihah96wZOGXPJloKYHSc9Lt6DYBsuXPzxeqVeJUtI1TTi8eP3zlu+9UoytT7TJAaI2krap2+F2+DD5DF1ZWmA/qLliH5NIlWVTUqzeOjb9yqqoapqnr/Lx46YDhQCij99pFyt6cjMOYfaEux83/+P/y7PopM1ASxb8lSYbHjo9+tXJ396WdeBgVpFj93kSI0GzSQUnXrYGZujs/Zc++8mWhBSrtF9XbtsLaz5c7pM7wIDNQsvqOzM2ZmZlhYWdFp9GgUReHwqtUmryalpXanTtTq2JFe06bimteToHv32DJpMoY0jm6mQlEU2n496p3kPCr8Fc8ePnyn0mcKsrq7M3jxQgwGA7dPn2HfkqUsHjiY0fXqM693H3bNncft02dkxU0iSUP29/b2iubRzZvoEhLIX6YMI1atJFvu3KIl8eLJ77NBmwzoT7U2rQWqMZLy3lq9bRtK1q4lWI2RCk0ayzZ3SYZBVdUgVVV9Uh6A39svPVJV9SmAoii5FEW5ryhKxbfH+RVFGacoSjlFUTwVRWkBbAR+U1X1dnrqk4maAOKiovA+fIQQP7+/vtgU8dNU1ABs7Oz4VcPE0crGGkVRcHByomCFCiQlJnL33HnN4qfFPnMmqrVpg6qqmlfVUvAsUZxqbduQpNPx06zZmiUIniWK41WuLLaOjvSfOweHLFm4ffoM+39cpkn8zFmz0mrEMACqtm6FhZUVx9ZvYOPY8Sav7GXPk4dBixdi7+SUes6g1xPse5+ge77kyOsp905IJBkY3wsXqdCkMQMXzhcy9PuPePG29bFmxw7U69lDrJi3JMbF4VbAixbDhoqWkoro1kuJ5H/AEqNRSIrDkw6oBxwF7mNss9wFNE/vwDJRE0BKH/tpDVvd0hIfHU3+0qVx9fQEYMCC+TQbPEjTPVIppLSF3Dh+XPPYKdTq1BELKyuuHz1GxPN0rVj/bZoOHIBT9uz4e3tz5cBBTWIqipKajDjnzEnfH2ZhaWXFqS1bubBnryYaKjRpQtGqVWkxdAhDlizGIUsWbp06xZLBQ4gMCzNp7Jz58jFo0QLs3mu5TYyLI+xpiEkT5tehoQTcusWjmzd5dOMmD6/fwN/bG/9r3vhdvcaDK1d5cOUKb16a9mcgkXyq5C1Zks5jxwifK5eCPjmZl0FBlG/UiJbDh2WYGz2qCj2nTMbS2lq0FInkk0BV1UBVVRVVVW/+wbnTb4+DVVWtpaqqi6qqNqqqFlBV9Rs5R+3/CSktdjeOHTf5YvSPKFCuHAMXLUgdCvr4zh1cPT2F3OUqUasmFlZW+F68pLmpSQqZXFyo1KwZBr2ek5u3CtFgY29Pu6+NMxb3LVosZA9jnmLF6DpxPAC75szl/uXLf/GMf4+iKHSfPBFrOzs8SxTnyzWryJkvH8G+95nfpx/BJh6im6tAAQYsnJ9qbOOQxYkXgYGs/uprlg3/wmRVb3unLPicPcfSIcNYMngIS4cM5cehw/lx2HCWDR/B8hFfcGz9RuwyZYxKgUSS0Sj9Wd0MkwwBRDx/TsEKFeg0ZnSGMFoBo8tjs0EDM1zbqkQi+ftkjFeT/xihbzcc65OTObfrF83jexQtgoWlJXlLlgAg8M4dzTWkYOvgQJEqldEnJ3PnzG/CdNTt1hUzc3Mu799PZHi4EA3FqlejTL3PiIuOZvf8BUI0lKpTh+ZDBmPQ61n//ViePwr46yf9S9Ja+jrnzMnwlcspWrUqkWFhLBk4mNunT5s0vkeRIgxYMA9rO1t6TZ9GpzHfkymrC/7XrjG3V2+2TZ2W7pUtKxtrWgwdwherVn50DpWrZx6C7/sKqXSnoKqqrOpJJH8DC0tLek6dkuHa+uScMonk00YmagIITeMMdWH3HhLj4//katORt2RJAB7fviPUOKFMvXqAcfCyKJxz5qBcwwYk63Saui++T+svv8DO0ZGbJ07ic/asEA11unahSsuWJMbFseqrrzRPXG3s7ekzeya1OnVEl5DAutFjOL5xk0l/Rz2LF6ff3Dk4OjtTqVlTvt+5g4Z9+2Bpbc2VAweZ3qEjh1auSnfTG4+iRRi5fi0N+/bBzNz8na9d2L2HJYOGML5JMzaNn4j3kaPERpq26qyqKi+fPOHC7j1sHDeeCc1amDxRlkj+P5AlRw6sbDJWe2Ha9naJRPJpovzXnM0URckERM44ftSkw/n+jIktWr3T8tju66+EuUNNatWGNy9eMO6XXSa3Rf8YuoQExjVpRlJiIpN+3Yujs7MQHS8CnzCrS1esbG0Y98svwjaoXzlwgG1Tp5M5Wza+27ZFyO+pPjmZlaO+wu/KVXIXKcyQpUuwtrXVXMeFPXvZNWcuBr2e8o0b0fG7b7GwstIsfmRYGIdWrubKgQOoqoqjiwtN+velYtOmHyRW/5ZnDx+xffp0gn3vU6pOHXLkz8e98+cJ9v19xp9iZoZnieIUq1aNolWrkiNf3n+1EFNVlfCnITy8fj31ERX+e9utpbU1nceOwdbRAWtbO6xsbbCyscXK1gZrW1usbGzS/ecgkUgk/2USYmMZXa8BQGZT7HlKT7RaU39KP5P05j9bURNVxYqPicHCypIC5coB0HnsPxnRkP7kLVkCxcyM54/SbYj6P8bKxobiNaoDxuqeKFw981Cydm10CYn4X7smTEeFJk0oUL48kWFh7wx01RJzCwt6TZtKjnx5Cfa9z92z54ToqNqqJQMXzMfW0ZFrhw5z+/QZTeNnzpaNTmNG89XG9RSsWIHoV6/YMWMWt06dTvdYbl75GbFyBc2HDEYxU2jUpzcj165h4q976fT9aErUqomVjTWPb91m/4/LmN2t+79qF1ZVFZ/fzrJ18hR2zpzF9aPH3knSwDirauO48az4YiSLBgxkTo9eTO/QkYnNWzK6XgNGVa/JN7Xq4Hvx0r/953+U4Pv32Tlr9gfnDQYDL4OC8D5yhN3zF7Cw/0AeXr9hMh1/h1fPnrFrzlwCfXyE6gC4evAQwffv//WFJiboni9PH4hxOE7Lm5dhPHv48K8vNDG6hIR3umpEoaoq4SEhomUAEPPmjdD4sZGRACTrdEJ1pHDj+EnREiQZiP9sRW3cLz/jnDOn5vETYmNRFAWDXo+5pZXwVok3L19iY28vrLqYwqtnz7CysRFWTUvBOMdMFT6TJzwkhKjwcPKVKiVUR8TzUB7fvkW5hg2F6ngZFMSNY8dp0PtzYa08qqpy/9Ilrh48RLeJE0xaSYp58waHNKMDUkjW6Xh08yZ3z1/gwaXLfLF6ZboMin/17Bk3jh3n+rHj79y0sc+cmcJVKqOLj0eXkEBiXDy6hHh08QmpHxPj4xm0cAEFypf71zrSEv70KQdXruLGseNUbtmCBp/3ItjXl6B7vgT53if4/n0SYt6dCdl04AAhtugh/v6c3LSFmydPYtDrKVGzJr1nzdBcBxhdS3+eM5drhw6T1d2db7ds0rQKnZZnDx+xdPAQVODLNavJlttdiA6DwcCKL0fy6MZNes+cTtGqVYXoADi5eQv7ly2n+eBB1OnaRZiORzdvsmTQECo0aUyXcWOF6YiPiWFMw8bkKlCAkevWCHl9v7B7D4/v3CHoni/x0dEMX7GM0MeBqTeQtebU1m3sW7wEPoHqkayomZ6MtetVQ0S5qYlOiN7HKXt20RIAcHFzEy0BQNhC4n2y5spF1ly5RMvAOWcOYS2xacnu4UHDPr2FalAUhSJVqlCkShWTx/qjJA3AwsqKQhUrUqhixXSN5+LmRr2ePajXswfPAwK4cew43keP8ebFC5r07/+nvwPpfbMvOuI1x9av58LuPalGKlcPHuLS3n0fXJvdw4PcRYvgUcT4cCtQIF21pEWXkIhBn5z6Gq6qKg+vX+fkpi2pDqmW1tZUbd2KOl06m0zHnxHi78/GseN5GRSEraMjzYcMEpakvQwKYvmIL4iLjqZ8o0a45BL3Gn/2p5/xu3IVJ1dXPIsXF6YjPiaGE5s2oxoM5C1VUpgOgKsHDgHGvyGRBNy8hWow4JAli7CbcNk8cvPT7B9Sj6e170jH0d8J0QJQpWWLlERNIvnvJmoSiUQi+ZCc+fKRc0B/GvfvR9C9e0RHRPxpopZei6vEuDhOb9vOqa1bSYx7tzVdn5RElhyu5C7ye1LmXrgQtg4O6RL7r4iNjGLNN9/SZdwYrGxsuPPbb5zctIUgX1/AeOOveru21GjXFocsWTTRlBZVVbmwew97Fi4iWacjT7Gi9JgyWUjXCBit6pcNG0F0RAQl69QWaln//FEA+39chqIodBk3RujIizPbdxAXFUWx6tWEJoyJ8fHcPHkCxcyM8o0bC9MBpLYre5UtI0zD+8mqo4sL5RuJ7SKRSFKQiZpEIpFIPkBRFPIUK6ZJLN+LF/n5h7kfHThvZm5Ot4kThLQCRzwPZcWXI3n55AnXjx3n2qHDhAUHA+Dk6krtzp2o3LwZ1nZ2mmsDiI+Ofrtv8hRgHDXSZEB/YTbxkeHhLBs2gjcvX1KkSmW6T5ooTEuyTsfmiZNI1umo06Vz6t5wEcS8ecPpbdsAaDKgvzAdALdPnSYxLp7ClSrhlD2bUC0Pr18HwKtsWWEaMmXNirWdbeoNolodOwirREsk7yMTNYlEIpEIpUiVKozd9ROJcXFER7wm5rXxER0Rkfrx5slT5ClWTNNFf4ifHytGfkX02wH0h1auAoxVxzrdulK2fj3Nk5BXz56ltoo/uXuPjePGE/H8OfZOTnQdP1aT1tyPEfPmDcuGjyA8JIT8ZcrQa/p0LCwthek5uHIVzx4+xM3LS3hydGLjZhLj4ilTvx5uXl5CtVw5cACAis2aCNURHx1NiJ8f1na2uBcqKEyHoihk8/Dg6f0HWNvZUbVVS2FaJJL3kYmaRCKRSISjKEqqsVFG2Cv64MoV1o0e88HsvE7fj6Zis6ZC9tOEBT9lw5ixjNqwjjPbd/Dr0h8x6PXkL1OGbhMnCK2OxEdHs3zEl7x4HEieYkXp+8MsoWZZ/t7enN66DQsrK7pNnCC0QvLmZRjnd+3CzNycRn37CNMBxkT/4fUb2Do6UrxGDSEajBVphReBj1FVlXylSgkfFJ79baJWtVXLdDFokkjSC5moSSQSiUSShquHDrN92nQMev0HXzu0ajXuhQqSq6C2FYCkxEQ2jB1HiL8/q0Z9he/FSyiKQsM+vWnweS+h8+wS4+NZOeprQvz8cPPyov+8uUKNs+Kiotg6eSqqqtJs0EBy5s8nTAvAsfXrSdLpqNS8mXDzjqsHjSYiZevXw9JaTCIdHx3DypGjyPW2iuZVtizREa8xMzfDPnNmIZqye3hgbmFBzY4dhcSXSD6GTNQkEolEIsFoynFi02YOLFuOtZ0d2XLnJltud7K6u5Mtd+63H92x/4grpynZt3gJIX7GeWS+Fy+RKasL3SZOELbvyv+aN/lKl8Kg17Pmm+8IvHOH7B4eDFw4X6hhB8CuOfN48/IlBSuUp0aH9kK1hIeEcGnfr5hbWtKw9+dCtRgMhtRErUITcW2PVrY2xEZG4nflKgAnNm7itx07+W77VmGasnl4UK5hQ+F79iSS95GJmkQikUgkGCsx+UqVZPKBX4Xahb/PzZOnOLfrl3fO5cyfHwcn7R0mwbjg3z1/AY379+PSr/vxv3YN55w5GbR4ofBZmN5HjnL92DHsHB3pPHasMLfJFI6sXotBr6dG2zZkySFm1InBYMDMzIxHN24Q8fw5rnk98ShaRIgWAGtb23eO46Kj6f7VKKFVWFfPPLh55RcWXyL5GDJRk0gkEokE44Bv0UPm3yf86VN2TP9weHZibByPb9/G1TOP5m2Pt06e4nlAAJsnTkKXkEDmrFkZtGiBsLmcgXd8yF2kMFHh4fw8Zy4A7b/9Rnh15HlAAN5HjmBlY0N9AYPYUzizfQeFK1XiyoGDAFRs0kToTQir9xK1/GXKUKZ+PUFqjLh5eWWYGzMSSVpkoib5z/Hoxk3ylyktJHZ8dDTW9vbC7/JKJJKMT7JOx4Zx40mIjQUgq7s75Rs1pFzDBmR1F2O4YtDrObJmLQC6hAQAGvT+XFi1CODkli0UqliRG8dPkBATQ/nGjSj9WV1hen776SdqtGvH4VWrUVWVmh07CK00hj99yvJt20iIicXM3JxyjRqiT04WZuCRtqJmZm5O21EjhSdJouNLJB9DJmoSzTHo9bx5GfanQ3RNyb2LFwm4dYv6vXpqHjs5KZlto8fQeez30llKIpH8KfuWLOV16Auqt2tL+UYN8ShaVPiC8uaJk7wIDHzn3K6584iNjKRezx6a60uMi+P+xUvcPXceg16Pc86ctB01UlMNaVFVlWPr1vPM/yG3T5/BxsGBOl06C9MDxpbeqHDjiAkzc3Pm9upNmc/q0vrLL4ToMbe0xMzc3NgS2r6dcLMXiSQjI2/rSzTHzNycrVOmkpyUJCS+e8ECHFyxktPbtmse29E5C/GxMczr3ZfnjwI0j//k7r2PDhWWSCQZh5jXrylUqRKTft1L21EjyVOsmPAkTZ+czOE1a945V7RaNb7dson6vXoK0Xf3/AWSdLpUh05bBweOb9jIq2fPNNcCEBkWTszrN1z+dT8AXmVK8+TuXV6HhgrRA8Y9YCkY9HqyuLrSfOgQYXoURcHKxgZHFxfh4wokkoyOTNQkQnj55An7f1wmJHaKrfbeRYs5+9PPmscvXbcu4U+fsqBvP24cP65p7Gy53VnQtz8HV6z8YD6URCLJODhkyUKxalWFz5dKy/VjxwkLCgYgR768DFgwj35zZpM9Tx5hmm6dPPnO8fOAADJlzYpzzpxC9KQ4c6bgc/Ycx9ZvFOqEGRcVlfq5naMjPadOETqIHIztjy2GDhFqICKRfArIRO0/ypuXL4XGt3V05Mz2Hdw+fUbz2Fnd3VM3M/8ybz4X9+7TNH7J2rVQzMzQJSSwcdwE9ixchD45WZPYdpkyUbVNa46t38D0jp24cuAgBoNBk9iAZv9OiUSSvuiTkzm6dh32mTPT7uuv+GrDegpXqiRUU2JcHL4XLqYeOzo7M3jJImp2aC+s+vh+opanWFH6z5uDtZ2dED0AcVG/V9S6ThwvbNtBWgpXqUy5hg1Ey5BIMjwyUfuPcvbnXYQ+fiwsvt3b/Vnbpk0n/OlTTWObmZnh5uWVevzTrNmpblha4Ojs/I6ZyZntO1g2/AuiIyI0iV+rYwdsHR2JCn/FtqnTmN+nLwG3bmkSOz46mrXfjubcrl+IjYzUJKZEIvn33DxxgmLVq/H9zu1Ua9M6Q1T67l0wtj0CeBYvzqj1a8lfWoxRVApP0yRq7oUKMWD+POFVo/i3rY/1evagaNWqQrWk0GLoEOGtvBLJp4BM1P6jxEVF8cu8BaiqKiS+raMDAAkxMWwYO56kxERN47sXLJD6uaqqbJ8+g+vHtGtDLF33XUeyRzduMLdXb54+8PvIM9IP2/c2tz+9/4DFAwezYew4Ip6bdh+FQ5Ys1Gjfjl/mzmNCsxasG/09d347K2y/okQi+XsUq16dViOGCx9mnZabJ08BUL1tG4b8uITM2cQPKw7x8weMdu8DF84Xbhpl0OuJj47Gq1zZDLUfLCP9HkkkGRmZqP1H0cXF43/tGrdPnxYSP+2b19MHD9i7aLGm8XOlSdQAStWpTWhAQKoNtqlJaX9MwaNoUb7asO4DXaaiRvt2H7xRhvj7c3n/fpO3JxYoX476vXqiT07m9ukzrP32Oya2aMUv8+YT5Osr7OaBRCL5OKKrQu+TGB/PQ+/rdBk3lrZfjRK+5wqMN0BTBkoPXLgA+8yZRUsiPiYGRxcXuk+amCGqoBKJ5J8hE7X/KAlvjST2LlqcOgtHS+zeu8t4/pfdXD96TLP4KYYibgWMLZAWVlY0GdBfs8WIo7Mz+UuXIme+fNhnzkzQvXv4XrqsWSuIjb09dbp2eeecR9GiNOzTW5M38wa9PydvqZKpx7Fv3nD2p5+Z37svB1esNOm+uUc3brJl8hSOb9yEz9lzvHr2TNN9ehKJ5N/z4nEggxYtpEKTxqKlpBLi7082j9wMXrwIR+csouUAkBAbS4/Jk8jk4iJaikQi+R+Qt1cEER0RIXQAZorj3+vQF5zYtJnG/fpqGv/9dpBO349Gl5CAwWDQZBh0jrx5qdCkMc2HDGZq2/Z4HznKZ927kSNvXpPHTqFU3bpk9/AgITaGdaPHsGvOXPKXLqWZW1mNdm05vW07rp55CA14jPfhI1jb2tLu669MnjCaW1jQfdJE5vTo9Y4jWe3OnWg6cIBJY+cvU5qI0FC2T5ueaultZWODa15PcuTNa3zky0vB8uWxsLIyqRaJRPK/4VG0iGgJav97OwAAIABJREFUH5AYF8fgxYszVFLknDMnLm5uomVIJJL/EVlRE8T+H5cJdcBLa81+cvMWzWfO2Do6Uq1Na4rXrAGAwWCgcovmmiRpAJbW1nT47lscnZ2p0b4dqsHAoVWrNYmdQsWmTSlYoTwla9emUrNmJMbFsXnS5NTkwdRY29lRt2sX6vXowYAF87C2s+PC7j3sW7xUk/bDLK6udB77/TvnTm/bzrap00xe5a3QuBGfz5iWmojpEhII9r3P1YOHOLRqNW9ehmGeAVqpJBLJp0Ox6tVxyi5+n1xapGGHRPJpIxM1QfheusytU6eFxU+bqCXrdOxdqO0esRI1a9Bm1EgqNDa2rVw9eEjT+EDqnoY6XbtiY2/P7VOnCX7wQLP4VjbWqZ+3+mI4LrnceHzrNic3b9FMQ/V2bSlYoTweRYrQb+4PWFpbc3rbNo6sXadJ/OI1alCjQ3ucc+bk8xnTsHFw4MqBg8zv05cXgYEmj220zbZ957yjcxasbW1QTdgOGRsZyYvAQILv3+fRjZv4XrzE7dOnuXb4CBf27OXM9h0cW7+BsOBgk2mQSCTpi0yKJBJJevO3EzVFUWTtPJ2Ij44m+tUrTm3ZKsw4ITH+90QtU1YXHt+5zf3LlzWLn9XdHTMzM4pWq4p95sw8vn2bsGBtbfpTsM+cKdUF8dCKlUI02Njb023CBBQzMw6tWk3w/fuaxLWysUndk5a/dGl6z5yBuaUlR1av4fS27ZpoaDFkMBWbNqFk7dqMWr8W98KFCA14zLzP+3D10GGTxi5QrhyDlyxO3fSvKAqvQ1+weeJkZnbpytWDh0xS+VYUhbM/7WJ+774sGTyElSNHsW70GLZMmsxPs2azZ+EiwoKDyerunu6xJRKJRCKRfBr8k4raXUVRuvz1ZZK/4sWTJ4DR7fCh93UhGlTVuB8IILuHB5MP7CdP0aKa67CwtKRsg/oAXD2o3Syz96nZsQP2Tk74XrxEwK3bQjR4lihO/V49Mej1bJ4wSYjJS+HKleg5ZTJm5ubsXbSYC3v2mjymhZUVDXp/DkDWXLkYsWI51du1RZeQwNbJU9g+bYZJfxYeRYowbPmPZM6WjdL1PqPX9Km4eXkRFhTM1ilTmdmpC5f3H0jXhM0uUybafT2KL9euxuMjf3cvnzzh8KrV+Ht7az6+AuDNyzCuHjyE95EjmseWSCQSiUTyzxK1McAKRVF+UhRFnAvG/wNevk3UAE5t3SpEw4B5c2jcvx/mFhY88bmLPilJ2LyXFNeua4cPC3Pfs7G357Pu3QA4uGKlsEpng8974VG0KC+Dgti3eKkQDSVq1aTLuDEoisLPs3/QZKGetmXIwsqKtqNG0nPaVGzs7bm8fz8L+vTjReCTP/kO/w5XT0+Gr1hOdg8PStWpw6gN6+g9cwa5ChYkPCSE7dOmM71DJy7u3ZeuM99yFy7MiFUr6PDdtx+MS3hy9x5H163nx6HD+b5BI34cOpxj6zfw+PYdk1T5EmJj8Tl7ll/mzWdm565MatmKbdOm4+alzcgIiUQikUgk76L8kwWpoih5gTVAUaCfqqq/mkqYqVAUJRMQOeP4UWFzYX79cZmx7dFgIFvu3Hw+Yzo58+cTomVh/4EE3rnD0GVLyV+6tBANqqoyu1t3QgMeM3jJIgqUKydEhy4hkentOxAZHs7AhfMpVLGiEB1hwcHM6dELXUIC/efNpUiVykJ0XNizl59mzcbM3Jx+c3+gcKVKmmsIf/qUDWPH8/TBA6xsbek7exYFypvu90NV1XeSRlVVuXvuPEfXrSPY19iOmiWHK90mTiRfmvEC6UHMmzccWL6CS3v3UbBCeer36oW/tzf+3t4E3b33TnJmZWtL/tKlaDygP7kLFfqf4qmqSuAdH+5fvozf1WsE3bv3gZGNhZUVuQoWwNLKCgsra+NHa6u3x8aHpZUVFZs2IXuePP/q3/8x9MnJeB85Qpl69bC0tv7g6wa9nrDgYJ4+8CNf6VJkcXU1iY6/y/NHATi6OOPg5CRUR2xkJOYWFsLnnyXrdADCHVQNBgOoKmbm5kJ1wIevMxJJWkIDApjVtTtAZlVVo/7qepFotaZOiI1ldL0G8An8TNKbf2TPr6rqY6CuoihDgV8URfEFkt+7pmw66jMZkWFhwt7AchcuzODFCwn2vU+NDu2Fuj9WbdWS4jWq45wjhzANiqJQu3NnXoeGki13bmE6rGysadSvL88ePcLNy0uYjmy5c9PqixE8uHzlo21xWlC1VUt08fHcPHECjyJirLCzurszfMUy9i5awt3z51Pn3pmK9xdPiqJQvEZ1ilWvhu/Fixxdu44Q/4e45Er/LbsOTk50/O5bKjdvxuHVa8lfpjReZcvQuF9fEuPjeXz7Nv7e13l4zZvgBw/wvXiJ5kOH/M/xFEUhq3suMj10wcLK8g+ryMk6HU987v7l9/IqVzbdEzWDwcDtU6c5tHIVVra2VGzalOSkJEIDHvP0wQNC/Px4+sCPZw8fprbGdvp+NJWaN0tXHX8HfXIyd8+d4+xPP/Pw+g0a9+ub2s4rgrvnzrNj5iyK16hOh2+/EaZDl5DAuu++x8Lail7TpgoduHxy8xb8r12j28QJQkfj+F/z5uj69bQaPix1nqcIIsPC2D59JtXbtqFY9WrCdBj0erZMmkLeUiWp1qa1sAT21NZt2GfOREJsHNXatCY5KQlrW9u/fqIJOL97j5C4kozJP6qoASiKkgdYBxQHVvBhojYp3dSZgIxQUZNI/oqUv8uMcNc1OSkp1SFTJHFRUR+0B2qNqqqEBQWZrHqUgkGvB0X56LiK+JgYAm7dpmjVKun2OxL16hW3T5/h1smTPLpxE1VVccjixMAF89Hr9STrdCQl6owfdcaPybpEkhJ1FK9ZI90qWaqqcv/SJQ4sX0mInx9gnAVl6+hIaEDABze2FDMzXD3z4F6wEBWbNTFpRT4sOPidm0mxkZFc2vcr53/5hdehLwCwd3KiXo/uqXuAtSQ+Joa9Cxdzef9+AIpWq0bvmdOFJEiJcXGs/uZbHnpfJ0sOV4avWI5T9uya6wDjkPulQ4ehKApDli4mX6lSQnQY9Hrmfd6HEH9/2o4aSfV2bYXoADi6dh2HVq2mYtOmH4xJ0ZKge77M79MXtwJefL1xgzAd83r3Idj3Pla2tjg6Z2HUurXCtoO8DA5mRodO8AlUj2RFzfT8o1dvRVH6AXOB40AxVVXDTKJKIvmPkxEStBQyQpIGCE/SwPj/YuokDfjL9ixbBweKVauarjEzubhQvW0bqrdtk5q03TxxkrCnIZSuWyddY32MRzdvcmD5Ch6/Z+gT8fw5PH+OuaUl7oUL4V6oEO4FC+JeqCA58+fHysbGpLr0ycnsW7IUg15P21EjCfHz4+xPu7h+9ChJb1v73AsVokb7th9t0TQ1flevsX36dF6HvsDazo7WX35BxaZNhLyWJMTGsnLkVzy+fRuXXG4MXrxYWJIWHfGajePHoxoMNB0yWFiSBsZ92CH+/mT38KBKq5bCdBj0ei79aty5UrW1GB365GTMLSzwu3oVgILlKwjRkUI299wE+95HFx9PqTpthCVpAJkEVnwlGY+/nagpinIYqAgMVVV1o+kkSSQSiUQkaZO29DRP+RhPH/hxcMUKfC9e+ug1PadNpXiN6prfOIiPiWHjuAncv3SJAuXLs3jQYAJu3gKMCXWZep9Ro317PEsU1ywpSlvlToyPZ/+Pyzj38y7AOHKi05jvcc4ppp09LiqKFV+OIujePbJ55H6bpIkZAm3Q69k8cSJR4a8oWrVq6hgWESTGx3NwuXH8S/OhQ4S2gd6/fJnXoS9wK+AlrL3+xMZNeJUri9/VawAUrFBeiI4UsuY2jkIxt7SkZscOQrVIJGn5J68U5kBJVVXFDLuSSCQSieZokRhldc9Fqy9GULdbN6LCw4kMDycq/BVR4eFEvTIe/7ZzJ0WrVgUN87Twp09Z/fW3qcPX/a8ZF5UOWZyo0rIlVVu31jwJCQsO5uKevbQYNpTHt++wdcpUwp8+xdLamhZDh1C1TeuPtsyampg3b1g+/AtC/P3JkS8vgxYtJJOLixAtAEfXb8Dv6jWy5HCly/ixwn4uAKe3biMyPByvcmWF7gkDuLh3HwBVWrYU1r2hS0hg2fAvUN86Pce8fs3pbdup1amjEE0pLc0VmzQhc9asmseXSD7G307UVFWtb0ohEolEIvlvYmNvj429Pdk9PP70Oi3HZjy8foP1348hNjLynfOl6tal24RxQlwME2JjWfPNd9g6OvLr0h85tXUbqsGAZ4kSdBk3RnMzJn1yMmbm5iiKQnREBD8OG05owGNyFSjAwEULhDpf+l29xtE1azG3sKDn1CmpQ+1FEBkezsktW1EUhZbDhgltbX/zMox75y9gZWNDuYYNhOmwsLZOdQQF2DplKl3GjxP2s8nqngvFzIw6XeW4YEnGQlztXSKRSCSSf4BWi7hL+37lp9k/fDCuAODWyZN4lS1D9bZtNNGSgsFgYMukyanVvcA7dzC3tKTJoIHU7txJiO38+V92U6B8OWwdHFk2bDgvg4LwKFKEAQvmCd1TGhkWxqYJE1FVleZDh5CnWDFhWgAOrVyFLj6e8o0b4V5IjNPjrVOnyFeqNJd//RWDXk+ZJo2xdXAQogXA8r0bHV5ly1C+UUNBaowVtdJ165DtbQukRJJRkImaRCKRSCQY9zQd37CRmydOUrBCBZxcs5Mle3acXLPjlN317cfsJjcv+SOOrF6Dz9lz75zrOXUKJWrW0FwLGPeiHVmzltDHj/G7epVXIc/IW7Ik/efNEeKo/OZlGHFRUbh65mHT+InEvH5Nydq1qNmhveZawNiimtXdneePHnFl/wEsra1pOnCAEC0AgXd8OLlpC1EREYCx7VEkaSvS5hYWtPv6a6GVRvvMmWncv5+w+BLJx5CJmkQikUgkGK3+G/T+XOgMtD/i5slTHF23/oPzWyZNoufUqRSpUllzTcfWbyQuKoqLe/YCxopI3x9mY21np7kWAO8jRwi+/4Bsud15dPMmLrnc6PT9aHFzubZsI2+pkngfOYKqqtTu3EmY8yVAdEQEQb6+gDFJurhnLw+uXKF+r55CfkZpK2p1u3XF1dP0brp/hcg5rhLJx5CJmkQikUgkZKyxGCk8e/iQbVOmph5b29lStGpVitesSdGqVYRUr8JDQjj788/vnHMvVIg3L1/i6umpuR5VVbly4CAvnzwBjM59PadNFWqxHujjw7VDh0jS6XB0dqZut67CtIAxUUshWafj7vnzjFy3RtjvvIWV0RXI2c2Nej17CtEgkXwKyERNIpFIJJIMSMybN6z55jusbG0o26A+JWrVpGD58kKMTNKy/8fl6N8b2+B/zRuvcuXInieP5ov/oHu+qUkaQOasWbl37jzm5ua4eXlpqgWMpi+hAQGp5jf65GRWfDGSBr17UaRKFc31gHGeXApm5ub0mjY13YbU/y9YWBlnDbYd9SVWNtrPHZRIPhVkoiaRSCQSSQbkic9duowfS94SJYSYhfwRj2/f4dbJk6nHrp6eNOrXl5K1awmzv7968NA7xxHPnxMZHk5WdzHGEEH3fN9xKI2LiqJw5UoUrqx9i2oKaStqLUcMI3+Z0sK0gLH1sWSd2saRGxKJ5KPIRE0ikUgkkgyI6Hlb76OqKnsXLQLAJZcbDfv0oVyD+kKTyGSdjhvHjqUe2zg40HH0d5SuW0eYpid3775z3GzwID7r3k2QGqNJTsqYifKNG1GjXTthWlKwd3Ki9RcjRMuQSDI8MlGT/OdQVZWXT4KEbV6OjojAIUuWDLkfRiKRSD7GjeMnePMyjPbffkOlZk0xtxC/hPA5d5646GgAPIsXp/vkiTjnzClUU+Adn9TPW30xglodOwhUA7GRkagGA+6FCtH+m2/+j737jorqWvs4/j1D71UEQURRsffejb2LXWOPPXYTu0mMXWOLXaPRmKiJxl5iSbB3scYGKiKI9N5hzvvHyEQsMfde5hzyuj9rZTFzZibPbyEM85y9z9754m9P0Qrl80UOQcjv1JmnIHzwXp2GoTRJkjiwalWuP6ZKSoqLY9OkySTFxalSPzsrS5W6giD8e8myjImZGdN2/kydjh3yRZMGummPkiTRtF9fRq5ZpXqTJsuyfkSty+efqd6kge7vrZWdHQPmzc0314OJJk0Q/hnRqAmquH/pMv7Hjr//iQZSsGhR1owZS8C1a4rXditWjMSYGBb16cuDy1cUr3/T7yRHN24iNSlJ8dqCIPw7SZJE+Qb1MTHLHx/0QdeAPA8MZNjyZbQZNjRfNI9RISGkJCTQY9pU6nbyVTsOoBtR6zd7Fo5urmpHEQThPyQaNUEVtk6O7Jg7j9CHD1WpX7R8eTJSU9kw/jPunj+veP0abduSEBXN2jFj2fftSrIyMhSrXbFxI27+4cfsTl04vnkLacnJitUWBEHIKwlRUYzftJGS1aupHUUv+O49Pv7yC2q2baN2FL1iFStSolpVtWMIgvBfEI3aByomLIyo0FDV6ts4OpGZns7GSVNUmQLoVb4cAJkZGWyaNIWbfn6K1q/ctIn+zPTJ7dtZNngo4UFP3/OqvGFkbEzHsWNISUzk8Lr1zO7cld+3/kh6Sooi9Z8HPmLHnHncOnmS9NRURWoKgvD/j3vJktg4OqgdI5ey9epStUVztWPkkh9GGgVB+O+IRu0DlZqYyO7FS3ItIawkWydHAGJfvGDL9BmKXzdlbW+Pi6cnoLtma8v0L7hy5DfF6ltYW1PxlVXJQh8+ZHH/AZzfs1eRf5OS1atRrn49QDct5uDqNczu0hW/n7aRkZZm0NqFinvjUcqH76dMY0bL1mycOIlLBw+RFBv7/hcLgiDkY2psQC4Iwv9folH7QGVmZHDvwkVu+p1Upb6lnZ1+SefAa/7sX7lK8QxFK1TQ35a1WrbPms35PXsVq1+zbds3jl0/cYKAq8pcN9d+1MhcZ1qTYuPYv3IV276ebfCRrrqdfKndoQOZGRncOXOWHXPm8kXb9qwc/iknt+8g+vlzg9WWZZnY8HCxqIogCIIgCPmaGA//QGVlZAKwd+kyStWsofhZQI1Gg42DA/FRUQCc/vkXPEqWpHrrVoplKFqhPJcOHtTfr9S0CempqaQmJmJhY2Pw+t6VK+Hs7q6fgmpsakr3qVNwdnc3eG2AAoULU79rF05u36E/VqVZM3rP/NLgK3JJkkSnCeMIfxrE4xs3AV2z/OjGDSKCgzG3ssSxXTuD5JAkiYinwXzTtz+mFhY4urni6OqGo5srDq6uOLrpbtsXLIixiUme1xcEQRAEQfgnxIiaSsKDglStn7N4RXxUFEfWb1Alg42zU677vyxYSPC9e4rVL1qhPAAuRXT7qSXHxdGoZw9FmjTQNQw12rbB0c2Nqi2ak5qYyOap08lIS1ekPkDzAf2xsrPD1MICUwsL/I8f5+d589FmZxu8trGJCf3nzMG+YMFcx4uULUO5Bg0M2iz61KjOqLWr0Wg0PL5xk6u//cax7zfz87z5rBk9hjldu3N43XrVpgYLgiAIgiCIRk0lf/z4k6qLeWRl/rXK4Jldv/LswQPFM9g6/tWoWdra0vurLxS9TqmApydl6tRh7IZ12Dg58fDKVe6eU3YFyOqtW9G0X1+6TZ6Em7c3oQ8fsnvJEsXqW9jY0GrIYMrVq8fw5cswt7bm0oGD/Djza0WmBto4OvDJgvn6hVXMLC24c+YsC3r15vap0wat7Vq0KGO/20CRcmXfeKxIubI06tnDoM2iLMukJiUR/fw5z+7f58Hly1w/8Tvndu/h+OYt7Pt2JXuWLjP4NYOCIAiCIORPolFTSXhQECe37Xj/Ew0kM/2vRk3Watm5YKEioyivsnFypPnAARQoXJiUhASs7OwpU6eOYvUlSaLv7K+xsLGhzbChAOxbsULRa5fsXVyo1b4dpubmDJg3B3MrKy4dOMilAwff/+I8Uqt9Oxr26I5X+XJ8unIFVvb2XD9+gs1Tp5GZbvjRPQ+fkvScPhWNkRGTt2+jXP16JMXGsmnyFH6aOYuUhASD1bZxdGDEihVUbtok1/Gnd/7ka9/ObJs122BbSDy6fp2Vwz9ldueuLBnwCWvHjOOHGV+wa9E3HF63npPbt1O8alVMzc0NUv+fymkoBUEQBEFQlmjUVBL5LITLBw+SGBOjSv3X9+16du++ogtpANTt3ImWgz6hdscOAJzfq2x9ADMLC0A3suVesiSRwc84++tuRTPkjNoUKFyYXjOmA/DrN4sJeaDMHnNGxsZ4likN6JqmkatXYuvsxJ0zZ9nw2URFltCv3LQpXSd+jr2LCwMXzKfXjOmYW1tz9bffWPhxH+5duGiw2qbmZvSe+RXN+vcDoFilitRo0xqAK4eP8E2/Aaz6dCR3zpzJ05MZxatUYcLmTXSfMhkbR8e3Pufg6jXsmDOPi/v38+LJE7RabZ7V/ztJcXH4HzvOtlmzmdm+I5HBzxSpKwiCIAjCX6QP7RoMSZJsgfh5J46ptoxucnwC01vqFs1o2rcPbYYPUzzDhX37+WX+AjRGRmizs2natw/paWm0GzFcPw1NKUlxcczs4Ius1fLlvr2q7Yvz6PoNVo74FAsbG6bt/BkrOztVchxYtZo/fvwJJ/dCjN+0EUtbW8UzRIWEsHrUGGJfvKBohQoMXrwIC2trRTPERUTw89z53L90CdCN/HUYPcqgv7eXDx3m/sWL9J31NQnR0ZzbvYfze/aQFKvb68/Z3Z363btSs00bzCwt86xuWnIyf/z4Eye3bSfz5UkUSaNBfq0xs7CxwatcWbzKl6do+fIUKVc2T0bcsrOyCLp9h/uXLnH/0iVCHzzUX59XqERxfMeOwcjYBCNjY4xMjHVfX7lvZWuLsanp/5zjXWRZJvCaP8WrVnnndFRZlpG1Wv1qsmqSZdngC/IIgvD/U1pyMlOaNgewk2XZcFNK8oBSn6n/Td+TvPbBrvqYFBevWqMWFRJCiWrVSIqJwcHNTZU/6tmZmXQYPYqQBw8I9L9Oqdq18K5USdEMOazt7an4UWMeXLpMeFCQao2ad+VKVGjciMCr1wh79JjiVSqrkqP10CE8/fMuz+7f53ngI1VyOHt4MHrdGtaMGkPw3buEPgxQPIe9iwtDli7m4v4D7Pv2Wy7uP0DVFi0MmqNGm9b41KwBgK2TE60GD6Jp3z5cO3qMUz//zIvHT9izZBmFvL0pXqVKntU1t7Ki9dAh1O7QnoNr1uJ/7Di1O7SnQbeuPLl1m6A7dwi6fYfwoCDuXbioH2EctnwpPjVq/Nd1s7OyOLNzF0c3fU/aO6Y3Pg8IZNWno/72/zNkyTeUrl37v87xLrIsE3D1GkfWb8DUwpwS1aoCkJGWxovHT3geGEBoQCBhgY94/ugRvWZMo1z9+nme45/ISEvjxu9/cHH/ARr17E6FRo1UyQGQmpTEoTXrKFGtChUbN37/CwzoypHfMDEzo9JH6uZ4dv8+0aHPqdTkI1VzJMbE8Oj6DSp+1FjVZj47K4t7Fy5Spk5t1U5uZKSlY2puxqMbN/AsXVrxk8SvSoyJwcjYGI2Rkep74Z3euUvV+kL+8sE2amYW6l334eFTkhErlqtWH3RT/cwsLUlPTcXU3Fz1s78dR4/C3Npa9eXQO40fh7GJKVZ2yo9i5TAyNqbvrJmkJiZS0MtLtRz2Li6MXLOa0IcPVWtaJUmidof2+NSozr0LFxXJYefsnOu+iZkZtdq3o2a7tjy8cpU/z57Fu7Jhcji4utJn5lc06NaViwcOUtDLi4JeXtRq3w7QjcY//VPXtD25fZsiZd9cCOU/YWRsTKOePajSvBm3T53m1smTBPpfzzXF09HNDdeiRcnKykSblUVWZpbua1Ym2VlZZGdmYWaZ9x9sHl2/wZH1G3h04wag2/dwy/QZPA8IJDIk5I3RRoDo52F5nuNVWRkZ3PjDj2otW+iPhT58yIV9B7h27Ji+2bUr4KxKoybLMjf9TrJn6VISoqJ5cOkS5Rs0UOWDuCzL/L71Rw6tWYuxqSle5cpi7+KieA6AhOhoNk2aQlxEBOZWVpSqVVOVHKCbMXHl8BHaDBtK0359Vctx0+8kW7/4koqNG9N/7mxVMmyaPJnWQ4awcvinOLq5Mf3Xnap9Frl18hTHv9+Mibk5dTv50qhnD1VyADi5ualWW8h/PthGTc0zN69uMqyWnGlbOddoqc3aQZ1RtNe9/iFdLbZOTtg6Ob3/iQZm4+ig6oeaHI5ubtTt5KtqBkmS8KlRHZ8a1Q1eq0jZsniWKfPGcSs7W8rUqZPni+7YOjlRt5MvdTv5khwfz50zZ7nld5IHV64gy1oGLpin2PtW0O07HNmwgYdXruY6/uTWLf1tUwsLCnl741bcG/cSJShUvDhu3sUMeiY8NjyczVOn4+ReiHL16+F//AQX9+/n2b37+ueUrFGd2u3bU66B4Uf1tFotGs1fl5nHhL3g128Wc/e8buVan5o16PL5Z6o0adrsbPYsW87ZXb+iMTKi26SJqjVpWRkZfD9lGnEREZSqVYuS1aupkgPg8c1bXDl8BDNLC0X3DH2bM7/sBKBCo4aqZQh79IgVw0cAuvegM7t24VLYU5W/OU7uhfT7uuZcs62WsvXqqlpfyF/U7xgEQRCEN6h1ZtnKzo6abdtQs20b0pKTuXvuPFEhoRT0KmLQusH37vHbhu/euXCMiakpPaZNpXDp0ji5F8rVpBhaoL8/W6bPICk2jvjISL5s14GMl4vs2Do7UbNtW2q2a4tToUKK5NFqtexevJQun0/QT189sn4DGWlpWDs44Dt2DJWbNVXlZygzPZ2fZs7ipp8fphYW9J8zm9K1aymeA3SjersWLSbo9m0KeBam79dfqTbNLzsri18XLwag5aBB2BUooHiGxJhYbBwdCL57j6A7d7B1dqJC40aK58gGrnMDAAAgAElEQVShMTLWL2wWdOcO0WFhTN72oypZnAq5A+BdqRLFKlZUJYMgvI1o1ARBEIS3MreyokrzZgavI8sy1vb2NOnbh6otWhAXGUlceDjxEZHERui+JsbEEPTnn4rkeTXXqR0/c2DVav100PjISCSNhjJ161K7QztK166t+CyJI+vWc273bio3a8Kepcv1W0jU6tCediOGK74AUfDde3iWKU1KQgKbJk3h0Y0bWDs4MHjxIjxLqzc6cWbnLi4dPIi5tTWDFi7AwsZG8Qw516Cf27OH5wGBuBYrSv2uXRTPAXD50CFMzc0JvnsPgLq+vqpebvD6yZbOE8apsngWgINrQSSNhmYD+qlSXxDeRTRqgiAIgqokScLRzQ3Hv7k2Iysjg/ioqDem/BlKemoqP8+dx/UTv7/xWJk6tek/d44qH3LP79nLiR+2ArBy+KcAFCzqRbdJE1UZCXh45SqH1q5jwLw5rBs3nhePn+Ds7s7QZUtw9vBQPM+N3/+gUpOPeHjlKvu+XaHbL/Prr3ApYtgR4beJCXtB0O3blKhWlSPrNgDQecIE1S5/iAsP59yevUiShJGJCdVbtyIpNhYre3tVRl9fHd0s16C+qgvwGJuYULFxI0pWN/zUdkH4T4hGTRAEQcj3jE1NFZtaGPnsGd9PnkrY48f6Y5IkYWlnh7WDPWnJKVw5fITaHdorkifH3fPn2fXN4lzH6nXuRIcxo1VpGrMyMtj1zTdEPQth2aAhxEdGUrh0KQZ/840qq/emJCSwffYcjE1N2D5rDtrsbNp9OsIgK5L+E4H+1ziwajVFK1QgLTmZKs2bqbYwE+ius5S1WmSA7Gy+9u1Mi08G0nLQJ6rkyTnhYm5lRecJE9Rf1GzMaNUzCMLrRKMmCIIgCC/l7CnXtH8/bBwcsHZwwNrBHktbW1UXgnp2/z5bpn/xxmqXV44cwc3bmzq+HRXP9MdP2/SbocdHRlK8ahUGLVyQp3sM/icuHzpMRloamyZNQZZlqrZsQeOPe6mSBSDgqj9JsXHcPnUajZERdTv5kpacjJmlpSoNQVx4RK77lZp8RPOBAxTPkUMy0jVqbUcMx95F+Wv2XqfGdYOC8D7KXY0tCIIgCPmckbEx1Vu3okqzppSoVhU372LYODqq2qTFhIWx4bOJ+gVMQLcReeOPezFw/nxVVhCMCg3lxOYtuY49uXmLnQsXkfqOPfkMSavVcn7PXgD9Zu1WtrbcPX9Bf19JsiwT6O//V77sbFYMG8G5lxnVEBserr/tWbo0PadPV3RRntcZGRlTtGIFanfsoFoGQcghSVIbSZIuSZKUKklSrCRJf/vLKul8LUlS2MvXnJAkqURe5xIjaoIgCIKQT6UkJLB+/GfIWi1VWzTHp2ZNfGpUV3X7DlmW2b1kKZkvV+wD3ZYJdTp2pGGP7lhYWyue6eGVK0Q+e5br2L0LF6ncVJ3VL6NCQomL+GsES2NkRLfJk6jZto3iWUB3zWVKQgKgGzkauHA+pubqbVMEYGpuTvfJk1VtFgUBQJKkzsAGYCrwB7r+qNx7XjYRGA30A54As4CjkiSVkWU5La+yiUZNEARBEPKpF0+C6P3VlxQqUTzffKC9feoU985fAMDK3p4G3bpSt1MnrOzUWbEP4NzuPbnuN+jWlTbDh2Fqbq5KnoBr1/S3TUxN6Tt7FuXq11MlC/w17dHU3JxBixbmiz1DW3wy0ODbfgjC+0iSZAwsBz6XZXnjKw/d/ZvXSMBYYLYsy/teHusLhAMdgR15lU80aoIgCIKQTxWrWEHtCLmkp6SwZ+lyHFwL0rhXL2q2a6taM5Qj9sUL/jx7DgDHQoXoOW2qqot2APppjxY2NgxatFD1f8e4CN20x4+//AIPn5KqZsmhxsbWwr+ezWsj5OmyLKf/j//PKoA7oJUk6TrgCtxA17jdecdrir583omcA7Isx0uSdAmojWjUBEEQBEFQ2k0/P1oPG0qVZk1VvW7vVef37kPWaqnj25H2Iz9VbTGTHLIsE3jNHztnZ4YuW4qbdzFV8wDEvginzbChVGjUUO0owv9D1x+HYGJhuN+7zNSUnJshrz00E/jqf/zf5/yCfgWMB4KACcBJSZJKyrIc85bXuL78Gv7a8fBXHssT+eNdVhAEQRCEfK9GG3WusXqXrIwMHly+zLDlS/GpUUPtOACEBwVhbm3FsGXLcHTL089s/7Ui5criWrSo2jGE/6dqOhbGwtLKYP//1JRkftHd9AASX3nonaNpkiTNBya9539dmr8WVpwjy/KvL187AF1T2BVY91+FziOiURMEQRAE4V8pNSmZ4d8uV2UBk3dJS05m9No1WDsov5fcu7gVU39UTxDyQKIsywn/8LmLgc3vec5jwO3lbf01abIsp0uS9BjwfMfrXrz8WhAIe+V4QXTTJvOMaNQEQRAEQfhXUmNj7ffxKve+xeIEQTA0WZYjgcj3PU+SpGvoRuZ8gLMvj5kAXsDTd7zsCbpmrQkvGzNJkmyBmsCa/zF6LvljCSlBUFhqYmKupZOVFvkshIy0//X6V0EQBEEQBOG/9XKEbi0wU5Kk5pIk+fBXs7Uz53mSJN2XJMn35WtkYBkwXZKk9pIklQd+AJ4DebpZomjUBNVEPnv9mlDlmFlZsXHSZEIDAlSpb2JmxpKBA3NtiKqk0IAAEmNiVaktCIIgCIKQj3yObqXGrcAVoAjwkSzLr35Q8gHsXrm/EFgBrH/5GmugZV7uoQaiURNUdGjNWiKCg1WprdFocPUqyophI7h/6ZLi9e1dCuDh48OqT0fx87z5pCYmvv9FeciuQAGWDBjIjjnzCHv0WNHagiAIgiAI+YUsy5myLH8my3JBWZZtZVluJsvyn689R5JlefMr92VZlr+QZdlVlmVzWZabyrL8MK+ziUbtA6Z0c/A6cysrNoz/jKRYdUZ2StWqQXpKChsmfM6lAwcVr9+wR3cALu4/wPxeH3Pr5CnFalvb29N2xHAuHTzIwt59WDNmLPcuXECr1SpSPyE6mv0rVnLjDz+S4uIUqSkIgiAIgvBvIhq1D9j+lavQZmerVt/JvRBRoaFsnDhZleu1SlbXLeWszc5mx9x5HF63Ht20Y2UU9vHBu7JuU9aEqGi+nzKV76dMJT7yvde+5okqzZtRuk5tAB5evsL68Z+xoFdvzu/dZ/B/D1snJ0pUq8bWL75kRqs2fNO3P/u+XcHd8+dJS042aG1BEARBEIR/A9GofcCe3L7NmZ27VKvvVKgQAEF37rDt61mKjebksHF0wMPHR3//+OYt/PT1LLIyMxXLkDOqluPWyVPM79Wbi/sPGLxplCSJrp9/hpmlhf5YxNOn7FywkPk9exl8SmTp2rXoMW0qoLtm7uT2HWyY8DnTWrRi+eChHF63npSEf7oK73/u8c1bnN65k+snThBw9RrPAx+RGBNDdlaWwWoKgiAIgiD8U2J5fpXIsowkSSqHgENr11G2Xl2cPTwUL+/kXkh/+6afHwdXr6H9yE8VzVCqZg1CHjzQ37/221HiIyMZOG8uFjY2Bq9ftm4dnD08iAr5a2GVDqM+pXzDBor8fDi4utJm2DB2L1mqP2bj6MjodWuwd3ExeP3qrVqSGB3NgVWr9ce02dnEhodTrFJFLG1tDVbbq3w5Hly+zJ4ly954zNLWFmt7e1y9i9Fz2lTMrQy3kacgCIIgCMLb5IsRNUmSPpUkKUiSpDRJki5JklTjH76uhyRJsiRJeboUphJunzpFZrq6y7PLskxmejo/z1+g+GgWgKNboVz3/X7axrndexTNUKpWrVz3a7RpTZfPPsPIxESR+hojIxp06wqAqbk5AJcPH8HMwuLvXpan6nbupN/3R9JoSIyJ4bvPJiq2fUHjj3vRoHu3XMcSY2J4eOUq6SkpBqur0WhoNXgQgxYtxPy1zXJTEhJIiI6m9ZAhijRp6ampRD4L4fHNm9z4w48zO3dxaO06dsyZx8aJk4h+/tzgGQRBEARByF9Ub9QkSeoOLAFmAlWAm8BRSZL+9nS+JElewDfAGQNHNIgnt26rsoDF2wRe8+fivv2K17V2sMf0tYbk18VLuHv+vGIZvMqXw8zSUt+w3fQ7iZmlpb5pUkKNNq2xsrdn9Pq1FChcmCc3b7F9zlzFrpfTaDR0nzoZIxMTPlkwn0IlihMaEMCyTwYT8iDPFzB6gyRJdBg9iirNmgFQwLMwoGvc5/f8mJt+fgb9XpStV5fxmzbiVqxYruNpycmsGjmKg6vX5BrxzEuRz0JYM3oMkz9qytxu3VkxbARbpk1n95KlnNjyA5cOHqRI2bL6acJqSE1K4qafH/7HjquWQRAEQRA+RKo3asB4YIMsy9/LsnwXGAakAAPf9QJJkoyAn4AvgX/l2uLRz5/z+9YfycrIUC/EKx9+969cRWx4uKLlJUnCqVAh/eiVW7FiLPT7He9KlRTLYGRsTM22bRgwbw7VW7ciPSWF3UuWKFYfwMzSkgHz5uBeogSDFy/C0tYW/2PHObpxk2IZXIsWpf2oTylduxaj1qymTJ06xEdFsWL4CO6cOWvw+hqNhp4zplGyejXqdOzI51u3ULxKZeIiItg8dTrrx00w6L57BQp7MOa79fpmEcCzTBkSo6P5feuPzOnanVUjR+F/7HiejoQXKOzBsOXLGDh/HgW9vN76nCMbvuObvv35ed58zu3eQ/DdewYdjZdlmdCHDzmx5QdWDB/B9Jat2Tx1ur6BVlNKQgKxL16oHUMQBEEQFCEpucrdG8UlyRRdU9ZFluW9rxzfAtjLstzhHa+bCVSQZdlXkqTNL5/b8R3PNQPMXjlkA4TMO3FM1etOvunbn4inT+n8+WfUbNtGlQxzu/cg9kU4WRkZtBo8CNdiRanQqJGiGb6fOo26vr7sXLiIqJAQhi1fik+NfzTzNc9kZ2VhZGxMUlwc83v0Ijk+nqHLllCqZk1Fc+R4dOMGa0aPJTszk2HLl+FTo7riGbKzstj37QrO7NyFpNEw/NtllKha1eB105KTiQgOxrN0aWRZxv/YcfZ9u4LEmBiMTU0Ztmwp3pUN18jLsszpX3ayf8VKvj50kPjICC7uP8DV347qt7OwtLVl0KKFFK1QPk9ra7OzufrbbxzZsJG4lydNjE1NAd44oaMxMsKtWDG6TZ6EZ5nS/3PtlIQEHly+wv2Ll7h/6SIJUdG5HjcyMcGrbFk0RkZIRhqMjIzQ5PynMaJpv754+JT8n3O8S3J8Aqd27ODMzl18vnULjm5ugO77EhEczIvHTwh7/JgqzZu9MTJqKFmZmRi/NkU6PSWFW6dOU6RsGVw8PRXJ8S7PHjzAytZW/71SS2JMDNrsbOwKFFA1R0ZaOpnpaVjZ2b3/yQak1WrJTEvDzNJS1Ryge8/RGBmpVj8pLg5LGxtVM+RHj2/eZMWwEQB2siwbbkWtPCBJki0Qv3jXcSwsDfeZOjUlmQldmsG/4HuS19ReTMQZMAJeH8oJB0q97QWSJNUDPgH+6ae1KehG3nKJj4xStVHr8vlnZGakU6xiRdUyVGzUiLL16pEQHU2pWrUwNTd7/4vymO/Ysdi7FKDtiGFkZWRQvEoVxTMYGet+Dazt7ek0YTyJMTGUrFZN8Rw5vCtVosfUKTy7f58SVZX/foDue9Jp/DicPTx4cPmKYj+n5lZWeJbWNR6SJFG1RXPK1K3DkQ3f8fDKFYqULWPQ+pIk0bB7Nzx8SpKVmUGh4sXpNH4cbUeM4Papk1zYd4Bn9+/j5p33zYDGyIgabdpQuWlTzu/Zy/EtP4As89X+vYQ/fUrI/Qc8u/+AkAf3eR4QSGhAQJ4teBMRHEzw3bsEXr/+RpMGkJ2ZyaMbN975+lrt2+VJjtclx8dzcruuQUtPScHSxobLhw7rG7OokJBcW4zYu7gYvFHLTE9n37crqNK8OcUqVkCbnc3Dq1e5+ttRbp88RUZaGo0/7qXYwkivL0yVEB3N4bXruXzoEOUa1Gfg/HmK5HibZw8esGniZGycHBm5erUqf2NA15D8NHMmYY8eM3TZElWnEl/Yu4/ft26l14zpqvy9iwgOxtHVlfCgIDZOmkzzAQMM9vv7Ps/u3efK4cOkJSfjXaUKTXp/rEoO0J2sOrBqNQ6urlRp1lSVBdZy3PQ7qVptIf9Ru1H7j0iSZANsBQbLshz1D182D901cDlsgBC7As55He8/4lW+nKr1AVoPG6r6ypP2LrqzrBUbN1Y1R44qzZqqHQGAai1bUK1lC7Vj0KBbV+p37aLqz4mFtTWdxo0lMz1dP8JkaK9PvzU1N6NqixZUbdGCpNhYg57kMTEzo2GP7tRs15aT23cQExaGe4kSuJcoQc12bQHdiGd4UFCulVP/F17lyuFVrhztR43keWAgt0+d5vap0zwPDATA1MKCoUuXYGRsjDY7W/efNlt/O69H05JiY/HbvoNzv/5Kekqq/nhKYmKuKcEmZmYUKlEc16JFcStWzOAnFCKfPWPLtBmEBgRQunZt9n27Ev/jx/TNraTRUKpWLcVObCTGxOJ//DgNu3cjKyODU7/s5Pj3m0lPScHU3Bz3EiXQarVoNMpc5fDqCM31EyfYPnsumenpuBYtSnZWJrkntyhDlmX2LF3GrZOnsHF0VLw+/DX6GvviBQdWrSY9JUXRbWBedffceSKCg0lLTib2Rbhii0a9jVar5fqJ3wHdFi13Tp+hz8yvcHRzVTyLhY0N1347ipGJCXU7dVK8/qua9OnN6Z9/UTWDkH+o3ahFAdlAwdeOFwTediGCN+AFHHjlg6MGQJKkLMBHluVHr75AluV0QH9Bh9qNSX4ivhfCP5Fffk5MzNQ5G/86awcHReqYW1nRctAnb33MyNiYQsWL53lNSZL0TWHLQZ8QFRrKndNnuHXqFGGPHlG3k2+e13xVYkwsftt0q79mpKa+9Tm12rejTN26uBUriqObm2LTpvyPHeeXBQv0jeN3n0/UP+ZesiTVWragSvNm2Do5KZInJSGBtWPH4upVlNunTrN/xUqiQkMBqNqiOW1HDFdki40cgf7XSYyJpuJHH/Hbhu84vnkLAI169qTdp8MVnd6WkZZO8N27FK9SmT9+/Imzv+7GzNKCwUu+UWU0beeChXSdNJFfFiwiPSWFmm3bqja1PiI4mAt79wG6Kc0VGzcmNjwcexcXxd/r5VdWm06IiqZRz56qNGmge++zdy1I5SZNsLIz3LYw/4SSi5kJ+Z+qjZosyxmSJF0DmgB7ASRJ0ry8v/ItL7kPvH5hyGx0o2RjgGeGSysIgvBhcXZ3p1HPHjTq2UOR7UQ0RkZU+ugjPMuUITYsjJgXL4gJe/HydhjpKak8Dwik82cT3rg+zFAy0tLYs3QZF/cfyHXc1Nycel27UK1lC8Wui8uRnpLChgmf8zwgkBePn+B/XLcip2eZMviOG6PfbkPJPDvmzsW7UiX8j5/gzukzGJmY0G3SRGq0aa1oFoDLhw7x59lzxIaHc3D1GjRGRvSfO4fCPj6KZ0mMieXK4SPEvggn4No1bJ2d6DB6pOI5ckQ+++tjUnZmJgt796H9qJE07tVT8SyvNmpFK1Sg4WvbtCjNzdubBt27q5pBEF6n9oga6KYlbpEk6SpwGRgLWAHfA0iS9AMQKsvyFFmW04A7r75YkqQ4AFmWcx0XBEEQ8o4SI5pWdrZY2dm+dYEUWZZJSUgk9sUL0pKTsba3N3ie8KAgtkybQdjjNxcXzkhLw8rWVvEmLTM9nY2TphB0R/cnT5udjYWNDb5jx1C1ZQvFpjm+6sCqNUSHPic6VLffn42TEwPnz1W8YQTdtGC/bduJDQvj4ZUrAPSYNlW1Eax7Fy4gyzIB164BUL1VK1KTkjC1sNBfH62kyODc57Mb9uiuSpMGIMu6Rs3EzIye06eqvqhIm2FDVR9NE4TXqd6oybL8syRJBYCvAVfgBtBSluWcBUY8AeV3YxYEQRDyDUmS9I2cEgL9/Tm0dj2WtraUqVsXC2srzK2sMbeyxNzaGgtr3e205GTFFqbKzsrihxlfEHD1aq7jqYmJPLl9m/INGyi+SNbDK1c5t3t3rmPtPh1BkbJlFc2R4+YffsS83CBezs7Gw8eHgl5FVFvh8O653PuC/r71R6JCn9NrxjTFG7X01FTiIyP19ys3bUL7UeqN7mmzdR/t2o4YToHC6m//ofZKrYLwNqo3agCyLK/k7VMdkWW50Xte298AkQRBEIQPWPEqVRizfq3aMfS02dlsmzU7176GJqameJYtS7GKFShaoYLimdKSk9kxd+4bx/cuXYZGo6Fqi+aK5pFlmd9//DHXsZAHDzi4ag3dpkzC2d1d0TxZmZncv3Qp17Fm/fvRcvAgVUY+o0L+2ouyeNUq9JoxXZUcObRaLd6VK1OvS2fVMghCfpcvGjVBEARBEN5OlmV2LVrM/YuXKFe/HkUrVKBYpYp4+Pgodq3e2+xbsZLYF3/truNRyod6nTtTuWlTVZbif3DpMs8DAvX3rR0c6DhmNFWaN1NlUaQnN2+RnpIC6Bbu6DF1iqqr+eZMeyxUvDgD589TbBXddzE1N6PHtCmqNouCkN+JRk0QBEEQ8rGUhAQa9uhGl4mf5ZsPtfcvXuLivv0YmZhQuUkT6nXphGeZMqquEvv71q2AbppsHV9f2gwbkmd7Df43/jx3DgBrB3sGzJtHsYrKj3q+KvLZMxxcCzJkyTdYWFurmgWgTN26+ebnWRDyK9GoCYIgCEI+ZmVnh5Wdndox9FITEzm2eTNthg+jVru2im1Z8Xee/nmXQP/ruJcsSdeJn1OkbBm1I3H33HlcixVl8DeLcHRzUzsOyfHxDF26BLsCBdSOAiCaNEH4B0SjJgiCIAjCPybLMiNXrVR9lb5Xnd+zB99xY6nbyVeV1RRfFxEcjJO7O/1mf634Ai/v0rRfX0VWSxUEIe+o/24mCIIgCMK/hqVt/lrCXJudTZvhwxTbbPyfMDEzY9CiBfmiacwhmjRB+PfJP+8ggiAIgiAI/yGNkVG+atIAHAoWVDuCIAj/D4gJwoIgCIIgCIIgCPmMaNQEQRAEQRAEQRDyGdGoCYIgCIIgCIIg5DOiURMEQRAEQRAEQchnRKMmCIIgCIIgCIKQz4hGTfhghQcFEfrwoWr1QwMCuH36DLIsq1I/OytLlbqCIAiCIAjC+4lGTVBNaEAAIQ/Ua5Sc3N3ZMOFzrhw+okp9N29vjm7cxOpRo1VpGJPj49k4cRLn9+wlNTFR8fqCIAiCIAjCu4lG7QOm9oiKvUtB1o0bR3hQkCr1jU1MKFWrFttmzWbXosVkZWYqWl+j0dBq8CACr/mzuP9AdsyZR3xUlGL1bZ2cqOPbkZ0LF/Fl2/Zs/eIr7l+6hDY7W5H6Wq2Wk9t34LdtO4+u3yA9JUWRuoIgCIIgCP8GolH7gF06cJCkuDjV6lvZ2WJsYsqaUWOICg1VJUOlJh8BcG73blaO+JS4iAhF65epW4ciZcsgyzKXDh5kbrceHNv0PRlpaYrUL127Ng17dCczIwP/48dZN3Y8szp14dDadUQEBxu0tkajoWbbNtw48TsrR3zKlKbNmd/rY7bNms3ZXb/y9M+7ZGVkGDSDIAiCIAhCfiWpdX2MWiRJsgXi5504hrmVldpxVHXih60E/3mXAfPnIkmSKhnWj5/AvQsXcSxUiFFrVmHv4qJo/eysLL5o046UhAQArB0c6Df7a4pXqaJYhgeXL7N2zLhcx+xdXGgzfBhVmjdDozHs+ZSsjAyWDR761umXrYcOoWm/vgb9+UhNTGTtmHEE37v3xmMmpqb0nvklFRo1MkjttORk9q9YRcDVq5haWGBqbo6phTmmFhaYWVhgam6BqYU5pWrWpFStmgbJIAiCIAg50pKTmdK0OYCdLMsJauf5OzmfqRfvOo6FpeE+U6emJDOhSzP4F3xP8poYUVNJXESkaotI5DAxM+P26dNcOnBAtQxuxYsDEPP8OWtGjSExJlbR+kbGxlRo1FB/Pyk2ljWjx+L30zbF/n1KVq+Od6VKuY7Zu7iQnZlJRmqqwesbm5rSd9ZMTC0sch1vMegTmvXvZ/Am3sLGhmHLl1K4dKk3HmsxeJDBmjQAcysruk76nAbduxERHEzQnTs8vHKVO6fPcO3oMS7s20fY48cUq1TRYBlyyLJMUlwczx484NbJU5z6+Rf2Lv+W76dOY8nATzi8br3BM7xPVkYGacnJascQBEEQhA+CaNRUEnD1KnfOnFU1g4mpKQB7li4n8tkzVTIU8vbW344IDmbt2LH60S2l5Ex/zOHo6kr08zBePHmiSH1Jkmg1ZHCuY4mxMfjUrKnYqK+LpyedJ+Qe1Tv63UYOrF6jyLWMFjY2DF++7I1m7eCq1Wz4bCJhjx4brLYkSdTv2oVxGzdQ0Mvrjccjg4M5unEToQEBBmnetVot53bvYXrL1sxo1YYl/Qfy/ZSp7F22nFM7fuaW30niwiOo28k3z2v/E3EREVzYt5+NkyYzp1sP1U8wAcSEvUCr1aodQxAEQRAMSkx9VMmJLT/gf/wEn/2w2eBT297l8qHDbJ89BwDPMmUYvW4NRsbGimYIe/SYhb376O/XbNeW4lWqUK1lC8UyZGdl8WXb9qQkJCDLMjaOjny+9QdsHB0UywCwZvQYsjOzkIw0BF7zx8XTk5FrVmHj6KhIfVmW+fHLmYQHBVG3cyd2L1lKVkYG3pUq0WfWTOycnQ2eITUxkTVjxvLs3n0+6v0xlw4cJDk+HkmjoXqrVrQeNsSgOTLS0ti77Fsu7NsH6EZcX21UC3p5UaVZU2p1aI+tk1Oe1o6LiOT3rVu5sG8/2e9Y2MbexQU372K4eXvjWqwYpWvVxNohb39Os7OyePrnn9w7f4G7Fy7wPCBQ/1j5hg2o49sRSdKgMdIgSRokjYRbsWJY2trmaY63efHkCb//8CPRz58zet0a/XFZlkmIisLM0lLR9/XngY8o6O0EqeQAACAASURBVFUk1/tmVmYm2mwtpuZmiuV4G1mW0WZnK/6e/q4sak2vzy+0Wq1qf+tfFx8ZiV2BAmrHEN4hKS6OGa3awL9gmp+Y+mh46r+DqyQ+OlrVRs3awZ5CJYqTEBWl+HVZOUzMTClduxayVqbfnFnIKpyhdiniiZGJCV5ly5KZkUHzAf1xdHNTNINu+mMjrOxseREURGTwM1ISEhRv1FoNGUzE02AqNm7E2rHjiQsPJy05WbFGTZIkukz8jDM7d1G7Q3s8Svmweep0QgMDyUxPVySDhY0Nw5YtZe3YcTTq2YOm/fri99M2Tm7fwbWjR2k2oJ9B65uam9Nt8kRK1arBjrnzKVm9Os369cH/+AmunzhBeFAQRzZ8R4XGjfK8UbN3KUDnCeNp0qc3v2/9MVfD5uzhQWpSEnEREcRFRHDvwkUAxmxYl2eNWlpyMsc2fc+lAwdJecd2DbdPneb2qdNvHB+6dIlBr+F7dv8+J7b8wO1Tp5FlmXL163F88xYingYT8fQp4U+fkp6SQt9ZX1O5aROD5cih1Wo5teNnTm3fwVcH9pGZns6Dy1e4+Ycfd86epf3IT6ndob3Bc+SIi4jgxeMnlKpVE1mWeXD5MkfWbaBS0yY07tVTsRygO9liZGKKqbkZGWnp7F22HLsCzrT4ZKCiOQDio6KwcXREo9Fw9bejhD95QuthQ1VpGu+cPo2tszOm5uZcP36CloMHqdZEn9y+A/eSJUmMjqZWh/ZYWFurkgPg0sFDOHu44+jmhkPBgqrlAN2JFwtrK+xcXFRtqv/Y+qNqtYX854MdUZtz7DcsbWzUjqOq1MREzK2tVT/TeXH/fqq1aoWRsbFqWZ7+eRcXz8LIsoyxqSmm5uaq5MjOysLI2JjUpCRSE5NwdHNVPMOrZ79TExMJD3qKV/lyimZISUjA1Nwc45fTc+MjI3l88yaVmzZVLEPsixec/mUnHUaPAnQfzoNu3yHQ35/mA/obvH5cRAS//7CVC/sPUL9LF9qP+pTEmBjCHj0i7NFjwh49xnfcmDw94STLMs/u3+fO6TPcOX2GsMe5p5wWKl4cZw93tFotslaLrJXRarW0HjqYwqXevMbwf/Xo+g1ObPmB+5cu/e3zJEnCwdWVVkMGG3w0PjY8nG2zZhN4zR87Z2eKV63CnTNn9dtLSJJEwx7d9T83hhYTFsaqkaNp2L0bHj4+HF63nkfXrwO6mRJjv1uv2PuqLMtsnjadJr17Y2ZpyZbpMwh79Ahza2um79qJlZ3hR11ftX32XGq0aU18ZCQ/zvwaWatlzPp1ir+fAXw/dRrJsXEkxcURHhSE77ixNOjWVfEcAKtHjibQ3x9ZlqndsQPtR36KiZmZKo3jt0OHE3TnDp6lS1G/axeqtlBuNs3r1o+fQHxUFOM3bVR1JPrB5SusHTMW/gWjR2JEzfA+2BG1/DIFQU0W+aRRrdVeuTPP71KkbBm1IwDo/zhYWFurdpbz1Q91FjY2qnyoeX0anV2BAoo2aQAOrq60HzVSf1+j0VCsYgWKVaygSH17Fxc6fzaBJn37cNPvJJIkYevkhK2TEz41ahikpiRJeJYujWfp0rQeOoSokBDunDnLndNneHzrFubWVgyYN9cgtXPIssz9ixc5vuUHnty89dbnWNjY0KB7NwoW8cSlSBEKFC6syMmVa0ePseubxaQlJQG6EZtrR48hSRLelSpR8aPGVGjUULFpZVEhIaweNZrYF+Gc+GEridHRANg5O9NsQH9qtmur6Mmvc7/u5pbfSWStlgeXLpORloZ7iRL0mzNL8SYtPCiIK0eO8DwwUHd9qVZLp/HjVHk/S0tO5u658/rtRjxK+VDHt6PiOUD3+/Xq9bYX9u4jPCiIIUsWq9KcZKSmImu1RAY/o9hri2opzdbJmRpt2qg+XTi/fB4R8ocPtlETBEF4H7VHm0HXsDXs3k2V2s4eHjTq2YNGPXuQFBfH3XPnSIqNzfPr4l7nXrIkbYcPJyokhOjQUKJCQ19+fU5yXBypiYm4enm9sRCQoaQkJLDrm8VcP37ijceKV61C76++VOQazldFPH3K6pGjiY+KAiAxOhore3ua9u1DHV9fxa+RC3nwkL3frgDQT4+t17kT7UeNxMRM+ev1Dq/fgKzVEvLgAQAdRo+iftcuiucA3ffj1T0hQ+4/YOHHfeg3+2vcS5ZUNEtceHiuBbuKlCvL4G8WYfbaqr9KyUjX7Rnabcok1ac+lqlbh3IN6quaQRBeJxo1QRAE4b2s7e2p0aaNweu8OnL4ttHL1KQkokOfK7Y67MMrV9k+ew5xERFvfTzwmj+3T52mXudOiuQBCHv8+OV2JjG5jts5O1O6dm3Fm7S05GS2TJ+RaxEcO2dnytavp5++rKTge/e45Xcy17GT27aTlZlJkz69FT8B4/9ag+/g6krvmV8q3qQBhAYE6G97lPJh6JLFql6vn5GaRq0O7anYuLFqGXKUb9ggX5ycE4RXiUZNEARB+NewsLbGw0eZD7hZmZlIGok+X3+FsYkpxqYmGJuYYGxqipGJSa5jSgkNCGDN6LEkx8Xpj2mMjHAp4olbcW8eXb9OAc/Cik3vl2WZXxYsJCokJNfxtJQUrh//HRfPIopfa3to7bpc980sLanbuRMNunVV/IN4UmwsD69c0d8vU7cuvWZMV3wqaI6Qh7pGrVDx4gxbtlT1SyAcXF3pOGa0qhlyiCZNyI9EoyYIgiAIb2FsYkKJqlXVjqH37P59Nk2agrN7ISo2boR7yZK4lyiBm7e3atsBXNx/QD8lVGNkRKmaNanWqgVl69VXJVPAtWs8vHxFn6dOxw40HzhQ8VV8c9z0O4k2OxtJo6H10CF81PtjVa+Rf/4wgIJeXgxbvgwrOzvVcuToPmWSatMuBeHfQDRqgiAIgvAvYOPoxPRfd6q+2EGO54GB7FmyFM/SpanaqgWVmzRVrSEC3ejeoTVrAajQqCFthg/DxdNTtTwA/sePY+PoSN9ZMylepYqqWQDS01IZvmK5qv9Or3ItWlTtCIKQr+WPd3tBEARBEP6WvUv+2aRYlmXCHj1iwpbNFPQqonYcAO6cOYskaRi1do1iq7P+ndjwcDQaDRO2fK/4YjNvo83Opue0qfkiiyAI/4xo1ARBEARB+I9IkqTqnldv4+zhzuj1a/PNtUYajYZhy5flmxFQjZER9i4uascQBOE/kD/ePQRBEARBEP4HbsWKqR0hF6X20xME4f8vseuzIAiCIAiCIAhCPiMaNUEQBEEQBEEQhHxGNGqCIAiCIAiCIAj5jGjUBEEQBEEQBEEQ8hnRqAmCIAiCIAiCIOQzolETBEEQBEEQBEHIZ0SjJgiCIAiCIAiCkM+IRk0QBEEQBEEQBCGfEY2aIAiCIAiCIAhCPiMaNeGDlpqYqGr9xJgY0lNTVc0gCIIgCIIg5D+iURNUFR70VNX6zwMf8fP8BaQlJ6tS38zSitUjR3N88xZSk5IUr5+dlcVv323k8qHDJMXFKV5fEARBEARBeDvRqH3AsrOy1I7AtaNHOfvrbtXqF6tUkSc3b7Gob38eXb+heH1TczOa9e/L4XXr+bpjJw6tXUdSbKxi9Y2MjaneuhX7V6zkizbtWDF8BH7bthP57JliGZ4HPuKHL77kwKrVXDpwkMc3b5IUG4ssy4plEARBEARByG+kD+3DkCRJtkD8vBPHMLeyUjuOqsIePebFkydUbtpEtQz3Llxk/fgJtBk2lKb9+qqS4fQvO9mzdBmSJNGwR3daDx2CiZmZYvVlWea7zyZy9/x5AEzNzanVoT2Ne/XC3qWAIhkC/a+zZvQYtNnZ+mMFvbwoW78e5evXx7NsGTQaw53XeXTjBhsnTs41FdXSxoYCnoUp4OmJi6cndXx9sbKzNUj9p3/e5cmtW0iSBJL08itISLmOVWryEVZ2dgbJ8E9kpKWTmZ5usO+DIAiCoK605GSmNG0OYCfLcoLaef5OzmfqxbuOY2FpuM/UqSnJTOjSDP4F35O8Zqx2gA9VdlYWRsbqfvut7O3YMXcebt7FcC1aVJUMRSuUR9JoOLR2HalJSbQdMVz3wVhB1Vu15NCatWSkpXFy+w7uXbhIry+m41m6tCL1JUnCd9wYHl69SlZGBhlpaZz++RfO7d5Djdat+ajPxzi7uxs0Q/Eqleny+Wf8Mn+B/lh4UBDhQUFEPg3Gd9wYHFxdDVbfu1IlRq1Zzbpx44mPjAQgJTGRp3/e5XngI3pMnWLQ5qRw6VI8vfsnh1brfg7epln/foo0aRlpaUSFhBIVEkJUSAiRL79GhYSSmpjIhM2bVGvU0lNSeHjlKiEPH9Jy0CeK/66+LikuDmt7e1UzCIIgCIKhiKmPKgl58JCAq9dUzWBlZ0dGairfT56q2jVa5lZWuJcoAcAfP/7EzgWLco3qKMHCxobKzZrq74cHBbFj9lxCAwIUy+Ds4cFHvT/OdczE1BQn90KKje7V7tCe+l275DpmZWdH/a5dDNqk5XDzLsaYDeso6OWV67g2O5uAa9cMOh1To9HQoGtXPt+6Be9Kld54XNJoiH0Rzo0//Az2u5IUF8f22XOZ1LgJi/r05fspUzmwajUX9+0n8Jo/ceHhlKxWjeS4eJLjlTuhGBUSwulfdrJmzFimtWzNpslTsHFwULVJC757j83TZnD0u42qZciRc4InP8hISyP6+XO1YwDkmxwAN/381I4AQHJ8vOJ/3wRB+Hf7YBs1ta/PSkmI59DatWi1WtUyGBkbY2ljQ1JsLPcvXVYtR7GKFQAwNjWlSvNmZGZkKJ6hbidf/W0jExOGLF2sbyCV0qRPHxzd3PT305KT8alRAztnZ8UydBg9ipLVqwG6f4/k+HhWjxpNyIOHitR3KFiQUWvX4FW+vD4DwMX9B5jXoxfP7t83aH1nDw9GrFpBp/HjMDU31x+XtVqu/vYbW6ZNZ3qrNgTfvZfnta3t7ek5fSrjNn1HhcaN3toI3T59muVDhjK9ZSumt2xN0J07eZ4jOyuLgGvX2PftSuZ178mcrt3Zs3QZDy9fITszE4AzO3exsHdfFvXtxzd9+/Pk1u08z/E6WZa5d+ECqz4dydJPBnHzjz+wsrfn3O497Pt2BRsnTuLxzZsGz/GqQH9/FvXuy8MrV8jKzOTB5SvsWbZc8Ryga/RXjxrNi8dPyEhL59zuPTy+eUvxHADJ8QmsHTOOtORkHt+8RdDtvP85/aeeBwby01df8+LJE4O/f7zP2V2/cuvUaaJCQ1XNAXDjDz8y0tLVjkFqUpK4Hvk1AdfUPYkv5C8f7NTHlMREVa818SpXjk8WLlB96tDABfOxsrdTbeoj6Bb08PDxoUDhwniVL6dKhsKlSlG4dCkqNGyISxFP7F1cFM9gam6G77gxbJw4mVod2uPs7o6HT0lFMxgZG9Nv9iyWDRpC9datMLeyIvRhgKI5rOxsGf7tcrZ+8QXhQU8ZsfJbTm7fwdM7f+Lh42Pw+hqNhvpdu1C6Tm12zJnHo+vXaTVkMFZ2dvx59izBd+9RqLi3wep7li7NgLlzCA96yh8//sTV337Tn4Wv3KwpCZFRRAQHkxgTg42jY57Xj4uIIPjuPYJu337nKGZEcHCu++kpKXmeI0dWZibXj5/A76dthD1+nOuxoxs35bpfsnp1ilWsaLAsOdKSk9m/chUX9u4DID01lektW5GeottqQ5udrUiOHFGhoawfN4HIZ8+4cvgIO+bOIyk2lpLVqzH82+WK5QBdo79l2nSiQkLYPmcut0+ewqlQIT7/8YdcJz+UoNVq2bVoMZkZGSwZ8Amm5uaM2bCOAoULK5oDdN+XC3v3kZaSjKyVGbJ08VtH75UQHxXFtplfY25jQ/fJkyhbr64qOQAeXb/Bvm9XUKNNa+r4dlT1c9n5vftIjI6mxScDVcsAGOREoPDv9cE2ajYODqrWt7CxUbV+Du/K6vyheFW5+vVVv14PoMOoURStWMGgi2a8T9l69ajQqCEdx4zGzMJClQyWtrZ8snABMWHPKV27tioZTM3N6D93Dn4/bcPexYWOY0Yjy7KiJzac3d0ZsfJbzu/eQ1JcHHU7+VK3ky9ZmZkYm5gYvH5BryL0nD6VloM/4eS27Vzcf4DyDepTualumm5qUhJmlpZ5XtepUCGa9OlNkz69SYyJ4e6589w5c4YHl6+Qma47A99z+jS8K1dC1mqRZbB1dsrzHOkpKVzYt59TO34mLiLirc9x8fSkVO1aFPDwwNnDA/eShh8Fv3v+PDsXLMqVKTEmBkmjoWiFCpSpU5tyDeobPEeO4Hv32DDhc/1qsTnT/IpXrUKjnj0VywG6Uc9fFy/Rjwjc8juJsakpdXw7KvI787qrR47w5JZuVDEzPR0bR0csbdVpBP48e5b4qCj9/RsnfkeSJEUb+hyPb9wgMyODzOhoflmwgN7mX1KiWlXFcwAkxcYSFRJC4PXrNOnTW5UMObRZWfjUqKFqBoAmfXpzYssPascQ8gn1Px0LH7z80KRB/mhaJUmi1xczVGvSchT0KkJBryKqZjAyNs61Eqgao88ajYZ6XTqT9cp0XKU/cDoULIjvuLE0G9CfF4+f6I9bWFsbvLaNoyM127WlZru2ZKSl8fDKVe6cOcP9S5eo0aa1QWubWlhQuWkT3EuWIOJpMBHBwUQGBxP+NJjYsDBkWSY1OZlm/fspsqBIUlwce5ct59rRY299vOUnA2k+cIDBc7zq3oULbJ42g4zU1FzHWw0ZTPMB/9fefYdXUeV/HH+f9IQkEEpI6L2DCooCunZQsZfVxa5rQ1ddO7uKdRd7xYYNsIuIoq5SLPQioPQqhBJSCCQhvdx7fn/chF+I1EjuGeDzep77hDt35s6Hm8nc+c45c+aaoGYBmPb55ztaGSt1OPpojjnrTEJCQ4OapSB3O+OHv7bTtG1pabz49xu44blnSGzRIqh5po8dt9Pz7IwMGtTyIFG7U3krmtCwMC64805nRRoECrWEpCSueuzRoG8j1R156inEOj6JL1KdN46QRWQH10Wa/FHltXIuxdarR7ueRzlbf0RUFN1OOJ5uJxyP3++v9RZOYwx1GzWibqNGtO+184FkWUkJWZtSydywnq2pqbVeqOVkZvLt62+SV9Gd0Fqw1g/WYv0Wi2XlL7/QuV9fmgehey7AnK+/4bOnnt7l4BQ/f/wJTTt0oGu/vkHJAoFbrXz54st/mJ65fj0zvhjH6ddcHdQD8f+9+SYFOTk7nscmJHDiZZfS78ILgnKSo6qMlPWsnjcPgKjYWC648w6OOetMZ5c+rPn1VyKiorj2yf/S6dhjnWSoVFJUxLVP/tdpl8dKKtIOT8aYk4DdjTjU21r7y26W+xk4sdrkN621Nx+4dCrURERkP7nsHgwQHhlJcts2JLdtE5T11UtM5PKHHwrKuvbGWsuEd9/j548+JrltWxo1b0aj5s1pWNH9s1Hz5sQm1AtqEZCRksLoh4Zi/f6KLqDd6dqvH12P70diy5ZBL0g2LFu+o2UvISmJU664nN4DBxIRFbz7Y1Y1Y1ygNa3jsb257F9DnFwDXSk/O5u8rdu45eWXnF0TXtUJl1xMfIMD33VaZD/MBJKrTXscOBWYt5dl3wKGVnl+wC/YVqEmIiJykCgvLaXfBecz4LprnQ9GBYEh5z945DE6HXcsXY8/ns59jnPaOuL3+RjzzDMktmrJqVdeSc/TT3Pavb6kqIhFP/3MJffdS5/zz3P+O8tKTeW2114N2kmOvVGRJq5Za0uB9Mrnxphw4DzgFbv3IUkLrbXpe5nnT1GhJiIicpAIj4wM2r0V94Xf5+eOt950MljIrmxcsYL+115L1+P7OW/5Bdiaupl/vPEaDZo0cR0FCIw4LSJ7dC7QAHhvH+a93BhzBYFC72vgcWvtAW1VU6EmIiIiNRJX31vX9bTs2tV1hJ3U5q08RLxi0eKNREQd+FGIK5UW76h94qq1SpdYaw/0DQGvByZYazftZb6PgPXAZqAH8BTQEbjwQIZRoSYiIiIiIjXSu0kToqPr1Nr7FxUVMCrwz+rF06PAI7taxhjzJHD/Xt66s7V2RZVlmgEDgL/uLZO1dkSVp4uNMWnAD8aYttba3/e2/L5SoSYiIiIiIl7XDMir8nxPrWnPASP38n5rqz2/FtgKjN/vZDCn4mc7QIWaiIiIiIgcNvKstdv3ZUZr7RZgy76+sQn0qbwWGG2tLatBtsqb8abVYNndcn+lrYiIiIiIiDunAK2Bt6u/YIxpaoxZYYzpXfG8rTHmIWNML2NMK2PMucBoYKq1dtGBDKUWNREREREROZxdD8yses1aFeEEBgqpHDGlFDgNuBOoA2wExgJPHOhQKtREREREROSwZa0dtIfXUgBT5flG4MQgxFLXRxEREREREa9RoSYiIiIiIuIxKtREREREREQ8RoWaiIiIiIiIx6hQExERERER8RgVaiIiIiIiIh6jQk1ERERERMRjVKjJYc/v9ztdf1lJCdZapxlERERExFt0w2txqig/H+v3ExMf7yzD/O8nANDrjAGEhAT/3IW1lncfGEKrbt045qwziW/QIOgZFv08hU0rV9K6R3dadetGdFxcUNfv9/koLysnIioyqOsVERER8SoVaoe5/OxsYhMSnK0/Mjqa4bfexiX33UtymzZOMnQ/8S88cdElTB/7BRfceQetuncL6vojoqLof921vPT3G/nfmyPo0q8vx559Np37HEdoWHD+RLuf+BeWz5rFiLvuwRhDUps2tO7RnTZH9KB1jx4kJCVhjKm19ZuQEGaOG8ek90ZSp1494hrUJ65+A+LqJxDfIPAzrn4D6jVOpGn79rWSwe/3U5ibS2lxCWUlxZSWlFBWXExpcTFlJaU7/h0RHc1Rp51aq5/H7pSXlrJl4ybS162jc5/jiKpTJ+gZKvl9PrJSU0ls0cJZhkrlZWWEhYe7joG11sl2sSteyiIiIjWjQu0wN+6Fl7jw7n9Sp25dJ+sPCQ0lqVVrXrrhRi4fOpTuJ/4l6Bmi6tTh5MsH8c1rr/PSjTfRs//pnD34FhIaNw5ahuYdO3LWTTfy9auvsWTqNJZMnUZ8wwYcd+659L/2mlov2IwxXHLfvZQWFbNg0iTSfv+dtN9/Z+a4LwE4+owzuOzfQ2othzGGk/52GU3atWP0Q0PZsnHjH+aJjInh2mH/rZX1V2ZYNW8+X738Mtuztu5ynvCICAYPf6XWD4DLSkrYsnEj6etSSF+7loyUFNLXpZC1aRN+n49eZwzgqNNOrdUMu1KUl8eKOXNYOmMmy2fOYsD11zkt1DavWcPUT8eQ2LIFp1xxubMcABtXrmTBhImcd/s/nOaw1jLji3E069iBVt2Ce9KpuvycHLambqZl1y5Oc0Dgbyo8Ui32InJw0TVqjpSXlbF24ULn10f5fD7evuc+SotLnGXocdKJlBQW8f7Qh1k8ZaqTDMdfdCF16tUDYFnFQWiwrxs7adDfaN+r147nvrJyeg3oH7RWtZDQUAYNfZBuJxy/0/SEpCTOu/22oOTocMzR3PXeO7tsNWvSrh2JLWuvKDDG0PP00xjyyceceNmlhISG/mGeyDp1+HXyZHIyM2stR9rva3nr7nt55sqreX/ow0waOYpFP08hc/16/D4fAOUlpUwaOapWc0DgoD9z/Xp++uhjXr31Nh48cyCjH3qY+d9PoLiggJCQEGaP/7rWc1Tl9/tZOn0Gr912O89ceTVzvvmGxq1bs3zWbHK3bAlajkoFudv5/JlneeHa67HWkr5uHdu37rrQr21lJSV88p9hjH32OSBQKLlSlJfHG3f8k00rV1JaXOwsB8DahYuY8ulnnrgW+Pdff3MdAQi0zsvO8rOz2bxmjesYFG7f7jqCeMhhW6i5+EKvavrnY3nl5sFsXL7CaY72vXrSpV9f/L5yZxna9epJ0/bt6X32QCctahBorTnl8kHEN2xAy25d6X32wKB3GwoJCWHQ0AeJiYsjMiaauo0aUS8xMagZQsPCuOrxx+hwzNE7pvl9PsKjooKWoX5yMrePeIOep5++0/TUVauC0tUvqk4dzr/jdu4e+S6te/TY6bX87GymfjamVreN5LZtGDz8Ze567x169j99lwXjwp9+4n9vjqCgFg/E1yz4lWevvoZhlw1i/CvDWbPg1x2FIgS2i7HPPc+nw54kfe26WstRqaSwkGljPmfYpX/j7XvvY/X8+Ttee/ueexlx192smjd/D+9wYPn9fmaP/5phl/2NGV+Mw1rL9M/H8tSgK3Zc9xpM2RkZvHLLYOZ++y0Ar9w8mB8/+DDoOSDwuxpx972krlrFN6+9vqNwdKEoP58PH32MWV9+xch/P+j05OjmNb8z6qGhfPbk05QUFjrLAfDTRx/z7RtvOjupUNUP739Adnq66xh88fwLvHj9DZSVuDtxDfDTR584Xb94y2Hb9bFuo0ZO13/kqacQFhFB804dneboe8H5zq9jCAsP56YXnyeufn2nOfpddCEJSY058lQ31x8B1EtM5K9D7mfD8hX0v+ZqIoJYIFUKj4zkuqee5M0776J+chL9r7uWyOjooGaIiIriikcfpnnnTowf/ipd+vah34UXEh0bG7QMTdq147bXX2Xed98xfvhrFOTkcPnDQykrKQnK/qN5p05c+egjnD34FqZ/PpaZX35FcX4+4ZGRXHzvPWSnp9OgadNaW3+7nkdxx4gRrFkwnyXTprNs+gxys7J2vB4SGkq/Cy8AY0hISqq1HDmZW5jyyafM/vprivPzdzlPo+bNSWrdmrggXW+7ceVKxj7zLOuXLttpuq+8nEbNmwe9i92aBb8y6sEHyc/+/8LdWktxfkFQc0CgVe+d+x4gZfFiAIoLCshYvx5feXnQegdUNfa559mWlgYECsjC3Fxn12VPePdd8rZuZdZXX9Gyaxd69j/dWXfM3378kc2r17A9K4tL7r/P2TWeZSUlfPv6GxTm7Pa2EwAAIABJREFU5XHO4FucZKh06lVX0vX4fs67yPYeeCbTP//caQbxjsO2UHOtXmIix190oesYzou0Sq6LNAgMbHLUaae5jsERJ59MmyOOIDImxlmGyOhobnjuGRZPmersGqSq16398t13dO5zXNAzhISE0HvgQLoefwL/e/NNfOXl9Dnv3KBmSGjcmHNuHUz/a69hzrffMvXTz6ifnETvgWfV+rojoiLp0rcvXfr2xX+vn00rV7J0+gyWTptO6urVtD3qSI44+eRazRDfsAEnXHIR7XoeRdrataSvW0f672vJWL9+R/etph3ac/UTj9dqDgh0c/xuxAhmjvtyt93ozrzxhqBdP2itZepnYxj/yvCdWjsBrN9Pg6ZNgjqoSHlZGSP/9eBOrZ0A6WvXMffb/3HcuecE9Ttn/oSJO7VuFuTm8s3rb3DxvfcEvTBJXb2aRT/9DEBsQgLW+p0UrgBZmzaxefUaWnTpwpk33uh0IJ6s1FSOOu00Bt58k7MMlZq2b19rg1Xtj0bNm7uOIB5ivNBnO5iMMfFA7rDJE52OmCYi+66kqCjorXq7Ulpc4vwWAn6fj7zsbOo2bOg0R3Z6OlmbUml/dK+9z1wLfOXlbE1NJW3tWtLWrqP3WWdSPzm5VteZvm4dORmZlBYXUVJUTGlREaXFFT9LSigtKsL6LQNvuanWW39Li4v57KmndxQiMfHxxNWvXzFCan1i69cnLiGBY846i3qJtd8C7Pf5GD30ERb++CNAoMdI50607tGD1t2707pH96AOWrUtLZ1nrryK4oIC6jZsSO+zB9L77IE0rMVW6D159/4hLJs5k79c+lf6X3uN0+OPHz/4kIyU9Vx8793OW4+yMzKIS0ggLCLCaQ4vKS4oYMhp/QHqWms9fcFa5TH1q29+T3R07W3TRUUF3HrTGXAQfCYHmgo1ERGRg8y2tDQKtm8nLqE+sQn1nLaK+P1+vn39DbZs2EjrHt1p3aMHzTp2cHbw7ff5eOOOfxIVW4djzzmHTsf2dtZ6BbBp5Somvvce59x6K42aN3OWo1LK4iW07NbVMz1qZGcq1P7ocC7U1PVRRETkIFM/ObnWWxD3x9mDb/HMgX/h9u1c+dgjnuhSD9CgSTLXPTnMdYwdgn2vUBGpORVqIiIiUmMhId4aQNrVYCG7Ex0X5zqCiBykvLV3FRERERERERVqIiIiIiIiXqNCTURERERExGNUqImIiIiIiHiMCjURERERERGPUaEmIiIiIiLiMSrUREREREREPEaFmoiIiIiIiMeoUBMREREREfEYFWoiIiIiIiIeo0JNRERERETEY1SoiYiIiIiIeIwKNREREREREY9RoSYiIiIiIuIxKtREREREREQ8RoWaiIiIiIiIx3iiUDPG3GqMSTHGFBtj5hhjeu9h3huMMdOMMdkVj8l7ml9kX/h9PqfrLy8tpbS42GkGEREREfGOMNcBjDGXAs8DNwNzgDuBCcaYjtbazF0schLwMTATKAbuByYaY7paa1ODk1oOpJQlS0hu25bI6GhnGaZ+Noby0lL6nH8+derGB339oeHhjH3yKXK3bKFTn+Po0qcPDZs1C2qGnMwtjH32Way1JLZoQaMWLSp+Nieufn2MMbWeISs1ld8m/0BYRETgER5OeGQEoeERhEdEUL9JMslt2tR6jkqlxcXkZ+eQn5NNQU4O+dk5FOTm0uaII2jRpXPQclTy+3xs2biJ1FWrSF29mmPPHkhiy5ZBzwHgKy9n3aJFLJ81m1OuuMLJ302lvG3ZLJg0iRMuvoiQ0FBnOay1rFu0iDZHHOEsQ6WSwkIiY2JcxxARkT/BeaEG3AW8Za19D8AYczMwELgOeLL6zNbay6s+N8b8HbgIOBUYXetpDzGLp0ylXa+eRMfGOssQERXFM1dexaVDHqB9r15OMvQ5/zyeGnQFk0aO4thzzuakv11G/eTkoK3fGMOFd/2T12+/k3HPv8g4XqRR8+b89YH7aNezZ1Ay1EtsxKVDHuCte+5j6fQZO6ZHxkRz1eOP0aVv31rP0LBpU5q0b8cn/xlG3rZtO71Wv0kTbnv1lVrPULh9O1+/9jrzv59AWUnJH15v1a0bx190Ya3nKC0uJu3330ldtZrU1atJXbWKzWt+35Gp2wnH06hFi1rPUVVBbi4rZs9m6YyZrJg9h6K8PHoN6O+kSAsURYuZ8cUXLPzxJ4487VSnRVrK4iWMH/4qdRs1dF6oLZg0mWUzZnDFIw87zVFeWsqsr8ZzwiUXO80BkJ2eTkJSkusYWGuDctJLRA4NTrs+GmMigF7A5Mpp1lp/xfM++/g2MUA4sG1XLxpjIo0x8ZUPIA4CZxtdWj5rNs9edQ25WVlOc1hr+fiJ/2CtdZahSbt21EtszJinnqEgd7uTDJHR0Vxy3z2UFhezbOZM6tStG/QM4ZGRXPfUMBo2bQqAz+cL+gFfbEICg4e/TOe+///nFxEVTdujjgpahi59+3LfB6Pp9pcTdppekJNNWEREra8/Jj6eSx+4n+ueGkaT9u3+8PrGlSvZlp5e6zk2rVzJTx99wtjnnmfmuC9Zv3TZToXj8tlz2Lh8Ra1msNaSvm4dP3zwIa/cMpiHzjqbDx55jF8nTaYoLw+AJdOmsXre/FrNUVVJYSEzx33Js1ddwys338KCiZPwlZez6pd5LJ0xM2g5KmVu2MB7Q/7FSzfexLpFi9i0chWLp0wNeg6Aorw8PnjkUd4f+jCpq1ez6OcpTnIAFOXn8+ZddzN97BdOfi9VZaWm8uY/72bdosVOcwDM+GIcG1fU7t/tvvCVl7N+6TLXMQAoLihwegxSaconn/L67XdQXlrqNMeCSZP3PpMcNlxfo9YQCAUyqk3PAPb11NdTwGaqFHvVDAFyqzw2Afj9/v3NekD5ysspKynBV1bmNEfH3sdwxSOPOD/Dd+5tt3LHWyOcdp/q3KcPJw/6Gzc+/5yzLkOx9epxw3PP0LBZMy594H4nLQSR0dFc/9ST9B54FuEREQy4/rqgd0uNTUjguieHcemQ+4moWPfRZ5xBXP36QcvQ6dhjufu9dxn00IPUa9x4x/Sm7drRoEmTWl9/myOO4Jr/PM5DX4yl/3XXEtegwU6vx8TFEZtQr9ZzWGuxPh/+ch/s4mCqvKw8KPvTzPXrGfvc8zx8znmMefoZNq9Zs9PreVu3kpNR/auk9uRt28bnzzzHU4Ou2Kkgytq0iXWLFgUtR6U1C37lmauuZv6EiQCkr13Hr5PdHPDlZmUxfPCtrJm/gMz16/nh/fed5IBA8fr2PfeRkZLCB48+hq+83FmWnMwtfPPa67x0483kZG5xlgNg6fTpvPj3G1gybZrTHAAfPfYEK+fOdR2DksJCSotLCAlz29lsVz055PDlha6PNWaMeQC4DDjJWru7kRiGEbgGrlIcsMllVz8IdFvqdsLxTjMAnrmGwcX1Prty9q2DCQlxe/4isWVLbnrhuaBfo1ZVaFgYl/37XzRs1ox+F17gJIMxhuPOPZe2R/Xkw0cf5fRrrg56hpDQUI4560yOOOUUpo0Zw+RRoznntsGEBvGLvF5iI8684e+cfs3VLJ4yheljv2Dtbwvpf+01td491xhDcps2JLdpw2lXX0XetmyWzZzJ0unTWTlnLqXFxRw9YAAdex9TqzkA6icn0/vsgTRt355NK1dVdAVds2MQnsSWLTn27IG1nsNay7zvvmf88OHkZ+f84fXQ8HB69u9f6zkqlZeW8t1bb/PThx/9oVWifnJy0LvaZW7YwJt33sW2tLQd0/K3ZZORkkLjVq2ClgMCJ0RH/vtBMlJSAs/Lyli7cKGzLvbjXniBksJCuvTrR3Z6OvUSGznJATB97DhOvnwQHY5xOxabtZbuJ51Ip2OPdZoDoP9119L/umtdx+DYswfy5YsvuY4hHmFcNjdXdH0sBC621n5ZZfoooJ619rw9LHsP8CBwmrV23n6sMx7IHTZ5IlF16tQ8vIgEja+8nPKyMqcDzgDk5+SQm5lJ0w4dnObYvGYNKYuX0PeC851lKCspYc2CBSyfPYczrr+OmPjgt4ZXDq6yaeVKUletosMxx9DpuOAc8FlrKS0qIj8nh/zs7IpBZwKPyKgo+l10Ya0XSNZaFkycREZKyo7Bd8IiIwiPiAz8OyKCTsf2JjourlZzVNq4YgWfP/0s0fFxJO4YjKgFiS1bULdRo6CeBLPWMvbZ50hdtZou/frSuU8fmnZo76z3yIrZc/jthx85adBlJLVu7SRDpaL8fDLXr6dl165Oc8iuFRcUMOS0/gB1rbVurgfZR5XH1K+++T3R0bV3TF1UVMCtN50BB8FncqA5LdQAjDFzgLnW2n9UPA8BNgDDrbV/GEykYp77gH8DA6y1s/dzfSrUREREDjBfeXlQW5v3pKykhJKiImLr1X734H1RXlZGWHi46xhyEFCh9keHc6HmhT3q88AoY8w8YC6B4fnrAJWjQI4GUq21Qyqe3w88BgwCUowxldey5Vtr84MdXkRERPBMkQaBwZnCIyNdx9hBRZqI1ITzvaq19lNjTCMCxVcS8BtwhrW28qrwFkDVK9VvASKAz6u91aPAI7WbVkREREREpPY5L9QArLXDgeG7ee2kas9bBSGSiIiIiIiIM66H5xcREREREZFqVKiJiIiIiIh4jAo1ERERERERj1GhJiIiIiIi4jEq1ERERERERDxGhZqIiIiIiIjHqFATERERERHxGBVqIiIiIiIiHqNCTURERERExGNUqImIiIiIiHiMCjURERERERGPUaEmIiIiIiLiMSrUREREREREPEaFmoiIiIiIiMeoUBMREREREfEYFWoiIiIiIiIeo0JNRERERETEY8JcBxDx+/0AhIS4O29grWXj8hU07dCe0DA3fxZ+v5/FU6YQV78ByW3bEB0b6yTD8pmzAIiOiyU6No7ouFhi69UjLCIiaDlyMjMpKSyitKSYsuJiSouLKSsppUWXztRt2DBoOSCwbRRu387WzZvZtjmNrWlp9Op/OvUSE4OaozJLTmYm65cuY+Py5Zx42aXEN2gQ9BwAvvJyUhYvYfmsWZxyxeXExMc7yQGQty2b+RMm0Oe8c4mMiXGWw1rLmvkLaNW9G+GRkc5yABRu305EdDRh4eFOc0DgczHGuI4hInLQUaHmSH5ODkunTeeYgWc5LVCK8vNZ+OOPHH3mmc6+0I0xjHvhRVr36MGRp57i5AvdGEN2Rjoj7r6Hnv1P59xbBwe1MIFAoZrcpg2v/eMOcrdsoVW3btz4/LNEx8UFNUPj1q0Y9eBDbFqxEoCEpCTuHvleUD+P3C1ZfP7Ms2xauXLHtEYtmnPv6FFBy5C1aRPjXnyZ33/9lZLCwh3Tk9u25fiLLgxKBmstaxcuZN3CRaxftowNy5axPWsrAE07dODUK68ISo5Khdu3s2LOXJZOn86KWbMpzMujWceOnPS3y4KaA8Dv87Fy7lxmf/0NS6ZOI6l1a3oN6O+kULPWsmL2bCa+O5L87GzueHuEs0LNWsu8775n8qjR3PXeO04LtbKSEr56+RUG3nxTUPdju5K5fj1hEZHUT05ymgMCf0cuT2xU8koBvWH5cory8ujYu7fTHGlr17I1NZVuJ5zgNMe2tDSn6xdvOWy7PuZu2eJ0/b/87zs++e+wnQ5EXVg2YyafDnuKFbNnO8tgjOG4c8+hIDfX6ZfGESefTN/zzyMyOjroRVqlxJYt+ccbr9GgaRMSkpOcHNw0bNqUO958g+MvvgiAuIQEYuKDm6Nl1y788523uOieu3d8BgU5uYSEhgYtQ8Nmzbh22H84/45/0KBpkx3T037/nfLSsqBkMMbQqHlzTGgoGetSdhRpAKmrVpG7JSsoOay1/PK/73j68it5f+jDLJg4icK8PAA2rVzJppWrgpIDYOvmzXw34i0ev/BiRtx1D4t++hm/z8fmNWtYVtEaHCzWWhZPncYL1/+dEXfdQ8qSJWSlpjJz3JdBzVEp7fe1DB98Kx89/gSZGzYwfvirTnIAZKWm8vJNtzDji3F8MuxJZzkANq9Zwyu33MqYp59xmgNg9viveeue+3b0JHHF7/PxwcOPkp+T4zQHwPiXh/PR409grXWaY/LI0Yx+cCilxSVOc8z6arzT9R+OjDE9jTGTjDE5xpitxpgRxpg9dmsyAY8ZY9KMMUXGmMnGmPYHOtth26JWt1Ejp+s/7txzaNKuHS06d3aa48hTTyEmPo72Rx/tNEeTdu1o0q6d0wwAZ9zwd3xlwTkI350GTZrwj9dfc5ohLCKCi+6+i7ZHHUW9xEZOCuiQ0FCOv+hCjjj5ZL5+9VU69j4m6N1Sw8LDOe7ccznmrLNYMHESk0aOoteA/tSpG7yz4fENGnDqFZdzyuWDWPvbQmaP/5qFP/5Ij1NOplGL5kHJYIzhmLPOpNeA/mxYtpwl06axdMYM0teuo0XnzrTq3i0oOQDCIyNp1qkTfp+PlKVL2bh8OSWFRcTExQX1jHx5WRk/f/wJi6dMJTs9fafXWvfoHrQcAMUFBUx45z2mfvYZfp9vx/RgdxOutOjnKXz8n/9SnJ8PQNH2PMpLS52cANuwbDlv3vlPfD4fYeFhTluz1i9dyg+j36dzv74U5OQSVz/BSQ6AlXN/oVX3bkRGRzvLUOnSfw2htKjQeeveObcN5i+XXkJElNtuyydedinTPx/rNMPhxBjTBJgMfArcBsQDLwIjgYv3sOh9wO3A1cA64HFggjGmi7W2+IDlc30GI9iMMfFA7rDJE4mqU8d1HBHZRyVFRc4PKvw+H+nr1jk/qVDZBbHn6ac5zZGVmsqymTM5esAAZwe/fp+PjJT1rF+6lGYdO9KsYwcnOUoKC9mWls7WzZuJjI6m/dG9grZuay1lJaWUlRRTVlKy41FeVkbzTp2CegBcWlzChmVLiY6NJTounui4WCJjYpx08bfWsmbBAuonJ5OQlOT0MgOA7PR06iYmOs8B3un2KH9UXFDAkNP6A9S11m53nWdPKo+pX33ze6Kja++YuqiogFtvOgNq4TMxxtxIoMhKttb6K6Z1BxYB7a21a3axjAE2A89Za5+tmFYXyACusdZ+cqDyHbYtaiJycHFdpEGglc91kQYQEx/vvEiDQDfZv1xyidMMIaGhJLdtQ3LbNk5zRMbEOMthjCEiKtJ5SwBARFQk7Xr2dB0DCHwu7XsFr2Dem4Qk99fHVVKRJgepuGrbbom19s/2VY0ESiuLtApFFT+PB/5QqAGtgSQCLXEAWGtzjTFzgD6ACjUREREREXFrydzfiYyovZOpJaWVdRObqr30KPDIn3z7H4HnjTH3Ai8BdYDKC2uTd7NM5VmXjGrTM6q8dkCoUBMRERERkRo5qnUi0VG1N+JuUfGOkZebAXlVXtpta5ox5kng/r28dWdr7VJjzNXA88AwwAe8TKDocjvqDyrURERERETE+/L24xq15wgMCLInawGstR8BHxljGgMFgAXuqnx9FypHkGoMVL2fQmPgt33Mt09UqImIiIiIyCHDWrsF2K97cVlrMwCMMdcBxcCk3cy6jkCxdioVhVnFwCrHAq/XMPIuuR96SERERERExAFjzG0V91LrYIy5FRgODLHW5lSZZ4Ux5gIAGxgy/0XgQWPMuRWjRI4mMBLkAb2RplrURERERETkcNWbwMAkscAK4CZr7fvV5ukI1K3y/GkCA4+MAOoB04EzDuQ91ECFmoiIiIiIHKastVftwzym2nMLDK141Bp1fRQREREREfEYFWoiIiIiIiIeo0JNRERERETEY1SoiYiIiIiIeIwKNREREREREY9RoSYiIiIiIuIxKtREREREREQ8RoWaiIiIiIiIx6hQExERERER8RgVaiIiIiIiIh6jQk1ERERERMRjVKiJiIiIiIh4jAo1ERERERERj1GhJiIiIiIi4jEq1AS/3+86AgC+8nKn6/f7/VhrnWYAKMrLc/5ZlBaXkLctm21p6WSkrHeWx+/3k5uVxYZly1k8ZSrlpaVOcgDkZ2ez6pd5TB0zhpKiImc5SouLWT1vPhPfG0lxQYGzHNZaUlevZtLIURTkbneWAwJ/M7PHjyc/O9tpDmstKUuWkJuV5TQHQElhIXnb3H4elcrLylxHkF3w+3yuIwDeOQYR8aIw1wFcyc/JIapOHWfr/+W77xn77LPc9d67JLZo4SzHyrm/8N6QIdz0wgu07tHdWY7U1asZPvg2Lh/6IN1OOMFZju9GvEVxQQEX3vVPZxkyUtYzeuhQ4hLqc+c7b2GMCXqG4oJ8xg9/lfnfT6Bhs2b8e8ynQc/gKy/n508+5YfR71OUl0d8wwY8/OW4oOfISEnh82efY838BQDEJtTjmDPOCHqOpTNmMnnkKDYsX47f5yMmLo6jzxgQ1P2YtZY18xew8KefWDpjJjkZGUTGxNClX1/q1I0PWg4IHPwvnzWb+d9PYOmMGQAktmxJbEJCUHMAlJeW8tuPPzHtszFsWL6cG59/lroNGwY9BwQK+Rljv+CHDz7kvNv/wTFnBn9brZSfnc3Xr75GUuvWnHz5IGc5ANYvXca6RYs46W+XOc3h9/tZOm063U/8i9McAG/c8U8i68Rw/VNPOs3xwSOPsnVTKv98922nOca98CKLp07jX59+TFhEhLMcP38S/O9b8a7DtlBzWaQBNGzalLZHHkWcg4OKquolNgrkqO82R0x8PG2PPIK6jRo5yxASEsKZN97Adsdnw1t178Y9o0ayec3vToo0gPgGDbji4aEce/ZA0taudZIhNCyMU6+4nL7nncvPn3xKdno6IaGhQc/RuFUrBr/yMqt++YWpn31OYW4uEdHRQc/RtV9fktu0Zv6Eicz7fgJ+n4/o2NigZjDG0LxzJ4ry8ygrKWHZzJmUl5UTExcX1BwAWZs2kZGSQmlJMWHh4ZQUFjo5uCorKeHnjz9h5dxfyNq0CYCifDctnVs3b2b8K8PZsHwFRXl5bNmwwUkOCBRGX738CrlbtjjLUGnl3Ln8MPoDElu2wFrrbL8KsPDHH0lfl0LX4/s52Z9V1ap7N0LC3B8Gtuzaldh69VzHoFnHjhQXFDr/TBq3bOl0/eItxgtdvYLJGBMP5A6bPNF5sSYi+85XXk6oBw4qtm/dSnyDBk4zWGtJXbWaJu3bERLirge73+djw7LlNG7VkmgHxVrVHJvX/E5MfDz1k5Oc5bDWkrsli/KyUho2beosBwQ+k6L8gqC3dIrIn1NcUMCQ0/oD1LXWuu1XvheVx9QjnhhDdFRMra2nqLiQGx+8BA6Cz+RAc3/UIyKyD7xQpAHOizQItGw169jBdQxCQkNp1b2b6xiEhIZ64vMwxlAv0V2vgKpCQkNVpImIHOQ0mIiIiIiIiIjHqFATERERERHxGBVqIiIiIiIiHqNCTURERERExGNUqImIiIiIiHiMCjURERERERGPUaEmIiIiIiLiMSrUREREREREPEaFmoiIiIiIiMeoUBMREREREfEYFWoiIiIiIiIeo0JNRERERETEY1SoiYiIiIiIeIwKNREREREREY9RoSYiIiIiIuIxKtREREREREQ8RoWaiIiIiIiIx6hQExERERER8RgVaiIiIiIiIh6jQk1ERERERMRjVKiJiIiIiIh4jAo1ERERERERjzlsCzVrrdP1Z65fz7dvvElZSYnTHDmZmXz92uvkZ2c7zVG4fTvfvPY6WampTnOUl5by3Yi32LxmjdMc1lomjxrN2oWLnOYAmDbmc5bPmu1s/dZacrOyWD1/vvO/2+z0dBb+9BO+8nKnOXK3bGHe9xMoLXa7/yjKy+PXyZMp3L7daQ5feTkr5/5C7pYtTnMAbNm4kW1paa5jUFpcTHZGhusY+MrL+fb1N0hbu9Z1FCa+N5J1ixa7jsHUz8awbOZM1zGY++3/mD9housYLPp5CjO+GOc6Bqvnz+eHDz50HYNNq1a5jiAectgWatu3bnW6/lW/zGPyqNFkpKx3mmPDsmX8+P4HbFyx0mmO9HUp/PD+B6z97TenObIzMpn43kiWTp/hNEdxQQHfv/0Ov06e7DSH3+djwjvvMnv8eGcZfGVlLJ85i58/+sRZBoC8bdnM/vobJrz9LuVlZc5ybEtLY9LI0Xz96qsUbs91liM7I4OvXhnO2GefZ+vmzc5yFOXn881rr/PR44+zccUKZzn8fj9zvvmWt++93+mJDYDMDRt4f+jDzPvue6c5IHBy48cPP2Lxz1Oc5ijKy+OH0e/zy3ffOc1hrWXSyJHM+vIrpzkAfv7oY6Z+NsZ1DGaMG8cP73/gOgZzvvmWySNHOT+BvmTKVKfrF28xrs9QB5sxJh7IHTZ5IlF16jjLYa0lOz2d+snJzjJU2paWphxVZKenUzcxkZAQt+cxcrOyiI6NJSIqymmO/OxsQsPDiY6NdZrDK/x+P8YYjDFOc1S26oWGhTnN4ff58Pt8hEVEOM1hraW8tJTwyEinOSDwmYSEhrqO4RnZ6enEN2zofFvNycwktl4959tqblYWMXFxzrfVgtxcwsLDiYyJcZqjtLiYksIi4uonOM1RXlZGfnYO9RIbOc2xfes2Hj77HIC61lq33RX2ovKYesQTY4iOqr3tqKi4kBsfvAQOgs/kQHO71zyMGWM8UZQAylFNQlKS6wgA1G3Y0HUEAGIT3H55eo3rAr6S64PeSiGhoZ4oSowxzg98K3nh8/ASr+xT6yUmuo4AeGffXqduXdcRAIiIinJ+QhIgLDzceZEGEBHljf2YeIM3jjhERERERERkBxVqIiIiIiIiHqNCTURERERExGNUqImIiIiIiHiMCjURERERERGPUaEmIiIiIiLiMSrUREREREREPEaFmoiIiIiIiMeoUBMREREREfEYFWoiIiIiIiIeo0JNRERERETEYw7bQq3c73MdQUREREREZJcO20Lti02LyC0tch1DRERERETkDw7bQi2rtJD3189jbf47vfKbAAAN8ElEQVRW11FERERERER2ctgWakl1Yii3lvGblzIzax1+a11HEhERERERAQ7jQu3Mtk3p2bgxAHO3beTL1MUUlpc6TiUiIiIiInIYF2pzcqbRJSmMs9u2JcQYNhTmMHL9XNKKtruOJiIiIiIih7nDtlDzA7/m/oKNTOWqrp1JiIqi1Ofns42/sTBnM1ZdIUVERERExJHDtlA7ql4TAFIK17KmZAF/7dSGjvUTsMBPmWuYkL6SMg3hLyIiIiIiDniiUDPG3GqMSTHGFBtj5hhjeu9l/kuMMSsq5l9sjDlrf9fZo24RA5t0IdQYssu2MSf3R/q1qMvJLZoDsCIvk082/Ep2aWEN/1ciIiIiIuJlxph/G2NmGmMKjTE5u5mnhTHm24p5Mo0xzxhjwvbyvinGGFvt8cD+ZHNeqBljLgWeBx4FegILgQnGmMTdzN8X+Bh4BzgK+BL40hjTbX/Wm1fyAw3DFjCoxRE0jKhDmfUzJ2cm9ePzuKxTJyJCQthaWsgH6+ezJi/rz/wXRURERETEmyKAMcDru3rRGBMKfFsxX1/gauAa4LF9eO+hQHKVxyv7E8x5oQbcBbxlrX3PWrsMuBkoBK7bzfx3AN9ba5+x1i631j4ELABu298VF5UtwVc+ngubtaJTfKAuXJG/jEy7nGt6dKZZXBw+a/kmbRnTtqzVEP4iIiIiIocQa+3D1toXgMW7maU/0AW4wlr7m7X2O+Ah4FZjTMRe3j7PWpte5VGwP9mcFmoV/7lewOTKadZaf8XzPrtZrE/V+StM2MP8u3RkfF9CCKXcn0lu0Sf8pUEEpyS2wwAZJWn8mjeTs9olc0xyEgDzszcxdtOiAzaEv6+8nJzMLQfkvf4May3Z6emuYwCQnZGB3+f+usDcLVsoLytzHYO8bdsoLS5xHYOC3FxKCt13AS7Ky6MoP991DIoLCijIdT86bGlxMfnZ2a5jUF5ayvatW13H0D51F7RP3Zn2qTvTPnVnXtqniuf0ARZbazOqTJsAxANd97LsA8aYrcaYX40x9+6tu2R1+zVzLWgIhAIZ1aZnAJ12s0zSbuZP2tXMxphIILLKpDiA3A2GI1qfyJLtc9nuyyGivJTWYY2JTejIN5uXkm+z8YWVclz9BjQwIUxYu44tpVmU1yuiOOTPf+HMHPclX7/6GrePeIPkNm3+9PvV1JJp0/jw0ce5dth/6XDM0c5yrF+6jDfuuJOL772bXgMGOMuxdfNmnrvmOk67+ipOuXyQsxxFeXkMu2wQvQb057zb/+Esh6+8nCf/djktu3bhikcedpYD4KWbbiEiKpLBr7zsNMc79w9h66ZN3PvBaIwxznJ8/vQzLJkxk399+jERUVHOckx4+x2mfj6W+z4YTd2GDZ3l0D51Z9qn7kz71D/SPnVnntmnvvOus3XXVFFx7Z54qPL+cdW2kRJrbTDOvuyu9qh8bXdeJtDrbxuBLpPDCHR/vGuf12ytdfYAmgAW6FNt+tPAnN0sUwr8rdq0wUDGbuZ/pGIdeuihhx566KGHHnrocTA8Wrk8Rt/H4/goIC1In0feLqY9sodsT+7De3aqtsw1QM4u3msEMKHatJiK9zhzPz6v64AyIHJfl3HdopYF+IDG1aY3BnbXdyR9P+cfRmCwkkpxwCagGYFfukh12kZkT7R9yJ5o+5C90TYie1K5fWxzHWRvrLXFxpjWBAbZcGFPrWnPASP3svzafVxPOlB9RPrGVV7bV3MI9GZsBazclwWcFmrW2lJjzHzgVAKjN2KMCal4Pnw3i82qeP3FKtNOr5i+q3WUUOUXWaXJNM9a675TtHiOthHZE20fsifaPmRvtI3Inrjs/lkT1tpioNh1juqstVuAA3Xh8izg38aYRGttZsW004HtwLL9eJ8jAT+QubcZK7luUYNAa9coY8w8YC5wJ1AHeA/AGDMaSLXWDqmY/yVgijHmbgJDZV4GHA3cGOzgIiIiIiJy8DLGtADqAy2AUGPMkRUvrbHW5gMTCRRk7xtj7iNwXdoTwKsVDUJU3AN6NHCqtTbVGNMHOBb4iUDLeR/gBeADa+0+j1rjvFCz1n5qjGlE4F4EScBvwBn2/0dWaUGg+qycf6YxZhCBD+i/wGrgfGvtkuAmFxERERGRg9xjBO6NVunXip8nAz9ba33GmLMJ3GdtFlAAjCJwj7RKMUBHILzieQmBxqRHCAxquI5AoVb1cqy9MvYwuzdYxSiQQ4BhNjgjxchBRtuI7Im2D9kTbR+yN9pGZE+0fUhVh12hJiIiIiIi4nVOb3gtIiIiIiIif6RCTURERERExGNUqImIiIiIiHiMCjURERERERGPOSQLNWPMrcaYFGNMsTFmTsW9DfY0/yXGmBUV8y82xpwVrKzixv5sI8aYG4wx04wx2RWPyXvbpuTgtr/7kCrLXWaMscaYL2s7o7hTg++YesaYV40xacaYEmPMKn3PHNpqsI3caYxZaYwpMsZsNMa8YIyJClZeCR5jzF+MMV8bYzZXfF+cvw/LnGSMWVCx/1hjjLkmCFHFAw65Qs0YcymBexQ8CvQEFgITjDGJu5m/L/Ax8A5wFPAl8KUxpltwEkuw7e82ApxEYBs5mcANCzcCE40xTWs/rQRbDbaPyuVaAc8C02o5ojhUg++YCGAS0Aq4mMB9dm4AUoORV4KvBtvIIODJivk7A9cDlxK4V6wceuoQ2CZu3ZeZjTGtgW8J3Dj5SOBF4G1jzIBaSyieccgNz2+MmQP8Yq29reJ5CIED61estU/uYv5PgTrW2rOrTJsN/GatvTlIsSWI9ncb2cXyoUA2cJu1dnSthpWgq8n2UbFNTAXeBU4A6llr93qWVA4+NfiOuRm4F+hkrS0LalhxogbbyHCgs7X21CrTngOOtdYeH6TY4oAxxgIXWGt32wvDGPMUMNBa263KtE8IfM+cEYSY4tAh1aJWceayFzC5cpq11l/xvM9uFutTdf4KE/YwvxzEariNVBdD4M7z2w54QHHqT2wfQ4FMa+07tZtQXKrh9nEuMAt41RiTYYxZYoz5V0VxL4eYGm4jM4Feld0jjTFtgLOA/9VuWjlI6Dj1MBbmOsAB1hAIBTKqTc8AOu1mmaTdzJ90YKOJR9RkG6nuKWAzf9xxysFvv7cPY8zxBLoqHVm70cQDarL/aAOcAnxI4OC7HfAagZM9j9ZOTHFov7cRa+1HxpiGwHRjjCFwbPaGtVZdHwV2f5wab4yJttYWOcgkQXJItaiJ1DZjzAPAZQS6KhS7ziNuGWPigPeBG6y1Wa7ziCeFAJnAjdba+dbaT4H/AOpaL0BgoAjgX8BgAte0XQgMNMY85DKXiLh3qLWoZQE+oHG16Y2B9N0sk76f88vBrSbbCADGmHuAB4DTrLWLaieeOLa/20dbAoNEfB04EQ5UnAAzxpQDHa21v9dKUnGhJvuPNKDMWuurMm05kGSMibDWlh74mOJQTbaRx4H3rbVvVzxfbIypA4wwxvynouukHL52d5y6Xa1ph75DqkWt4gtvPlD1gtyQiuezdrPYrKrzVzh9D/PLQayG2wjGmPuAh4AzrLXzajunuFGD7WMF0J1At8fKx3j+f3SujbUcWYKohvuPGUC7ivkqdQDSVKQdemq4jcQA1YuxysLeIIc7Hacexg61FjUIDIk7yhgzD5gL3ElgKNT3AIwxo4FUa+2QivlfAqYYY+4mMPzpZcDRwI3BDi5Bs1/biDHmfuAxYBCQYoypvH4x31qbH+zwUuv2efuo6P66pOrCxpgcAGvtTtPlkLG/3zGvA7cBLxljXgHaE+jm9nKwg0vQ7O828jVwlzHmV2AOgesYHwe+rtYSK4cAY0wsgd9xpdbGmCOBbdbaDcaYYUBTa+1VFa+/AdxmjHmawMjCpwB/BQYGM7e4ccgVatbaT40xjQgcWCcBvxFoBam8ELMFVc5cWWtnVtzD5AkC9yxZDZyvg6xD1/5uI8AtQATwebW3ehR4pHbTSrDVYPuQw0gNvmM2Vtzv6AVgEYH7p71EYFAiOQTVYB/yBGArfjYFthAo3v4dtNASTEcT6HVR6fmKn6OAa4BkAtsIANbadcaYgQT2IXcAm4C/W2snBCWtOHXI3UdNRERERETkYHdIXaMmIiIiIiJyKFChJiIiIiIi4jEq1ERERERERDxGhZqIiIiIiIjHqFATERERERHxGBVqIiIiIiIiHqNCTURERERExGNUqImIiIiIiHiMCjUREdkvxphQY8xMY8wX1abXNcZsNMb8x1U2ERGRQ4Wx1rrOICIiBxljTAfgN+AGa+2HFdNGA0cAx1hrS13mExEROdipUBMRkRoxxtwOPAJ0BXoDYwgUaQtd5hIRETkUqFATEZEaMcYY4EfAB3QHXrHWPuE2lYiIyKFBhZqIiNSYMaYTsBxYDPS01pY7jiQiInJI0GAiIiLyZ1wHFAKtgWaOs4iIiBwy1KImIiI1YozpC0wB+gMPVkw+zeqLRURE5E9Ti5qIiOw3Y0wMMBJ43Vr7E3A9gQFFbnaZS0RE5FChQk1ERGpiGGCABwCstSnAPcDTxphWzlKJiIgcItT1UURE9osx5kTgB+Aka+30aq9NAMJQF0gREZE/RYWaiIiIiIiIx6jro4iIiIiIiMeoUBMREREREfEYFWoiIiIiIiIeo0JNRERERETEY1SoiYiIiIiIeIwKNREREREREY9RoSYiIiIiIuIxKtREREREREQ8RoWaiIiIiIiIx6hQExERERER8RgVaiIiIiIiIh6jQk1ERERERMRj/g+yhJhAjIzOOQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "u = np.zeros((nx, ny))\n", "v = np.zeros((nx, ny))\n", "p = np.zeros((nx, ny))\n", "b = np.zeros((nx, ny))\n", "nt = 1000\n", "# Store the output velocity and pressure fields in the variables a, b and c.\n", "# This is so they do not clash with the devito outputs below.\n", "a, b, c, d = cavity_flow(nt, u, v, dt, dx, dy, p, rho, nu)\n", "\n", "fig = pyplot.figure(figsize=(11, 7), dpi=100)\n", "pyplot.contourf(X, Y, c, alpha=0.5, cmap=cm.viridis)\n", "pyplot.colorbar()\n", "pyplot.contour(X, Y, c, cmap=cm.viridis)\n", "pyplot.quiver(X[::2, ::2], Y[::2, ::2], a[::2, ::2], b[::2, ::2])\n", "pyplot.xlabel('X')\n", "pyplot.ylabel('Y');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Validation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Marchi et al (2009)$^1$ compared numerical implementations of the lid driven cavity problem with their solution on a 1024 x 1024 nodes grid. We will compare a solution using both NumPy and Devito with the results of their paper below.\n", "\n", "1. https://www.scielo.br/scielo.php?pid=S1678-58782009000300004&script=sci_arttext" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Import u values at x=L/2 (table 6, column 2 rows 12-26) in Marchi et al.\n", "Marchi_Re10_u = np.array([[0.0625, -3.85425800e-2],\n", " [0.125, -6.96238561e-2],\n", " [0.1875, -9.6983962e-2],\n", " [0.25, -1.22721979e-1],\n", " [0.3125, -1.47636199e-1],\n", " [0.375, -1.71260757e-1],\n", " [0.4375, -1.91677043e-1],\n", " [0.5, -2.05164738e-1],\n", " [0.5625, -2.05770198e-1],\n", " [0.625, -1.84928116e-1],\n", " [0.6875, -1.313892353e-1],\n", " [0.75, -3.1879308e-2],\n", " [0.8125, 1.26912095e-1],\n", " [0.875, 3.54430364e-1],\n", " [0.9375, 6.50529292e-1]])\n", "# Import v values at y=L/2 (table 6, column 2 rows 27-41) in Marchi et al.\n", "Marchi_Re10_v = np.array([[0.0625, 9.2970121e-2],\n", " [0.125, 1.52547843e-1],\n", " [0.1875, 1.78781456e-1],\n", " [0.25, 1.76415100e-1],\n", " [0.3125, 1.52055820e-1],\n", " [0.375, 1.121477612e-1],\n", " [0.4375, 6.21048147e-2],\n", " [0.5, 6.3603620e-3],\n", " [0.5625,-5.10417285e-2],\n", " [0.625, -1.056157259e-1],\n", " [0.6875,-1.51622101e-1],\n", " [0.75, -1.81633561e-1],\n", " [0.8125,-1.87021651e-1],\n", " [0.875, -1.59898186e-1],\n", " [0.9375,-9.6409942e-2]])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "# Check results with Marchi et al 2009.\n", "npgrid=[nx,ny]\n", "\n", "x_coord = np.linspace(0, 1, npgrid[0])\n", "y_coord = np.linspace(0, 1, npgrid[1])\n", "\n", "fig = pyplot.figure(figsize=(12, 6))\n", "ax1 = fig.add_subplot(121)\n", "ax1.plot(a[int(npgrid[0]/2),:],y_coord[:])\n", "ax1.plot(Marchi_Re10_u[:,1],Marchi_Re10_u[:,0],'ro')\n", "ax1.set_xlabel('$u$')\n", "ax1.set_ylabel('$y$')\n", "ax1 = fig.add_subplot(122)\n", "ax1.plot(x_coord[:],b[:,int(npgrid[1]/2)])\n", "ax1.plot(Marchi_Re10_v[:,0],Marchi_Re10_v[:,1],'ro')\n", "ax1.set_xlabel('$x$')\n", "ax1.set_ylabel('$v$')\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Devito Implementation" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from devito import Grid\n", "\n", "grid = Grid(shape=(nx, ny), extent=(1., 1.))\n", "x, y = grid.dimensions\n", "t = grid.stepping_dim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reminder: here are our equations\n", "\n", "$$ \\frac{\\partial u}{\\partial t} + u \\frac{\\partial u}{\\partial x} + v \\frac{\\partial u}{\\partial y}= -\\frac{1}{\\rho}\\frac{\\partial p}{\\partial x} + \\nu \\left[ \\frac{\\partial^2 u}{\\partial x^2} +\\frac{\\partial^2 u}{\\partial y^2} \\right] $$\n", "\n", "$$ \\frac{\\partial v}{\\partial t} + u \\frac{\\partial v}{\\partial x} + v \\frac{\\partial v}{\\partial y}= -\\frac{1}{\\rho}\\frac{\\partial p}{\\partial y} + \\nu \\left[ \\frac{\\partial^2 v}{\\partial x^2} +\\frac{\\partial^2 v}{\\partial y^2} \\right] $$\n", "\n", "$$\n", "\\frac{\\partial^2 p}{\\partial x^2} +\\frac{\\partial^2 p}{\\partial y^2} =\n", "\\rho \\left[\\frac{\\partial}{\\partial t} \\left(\\frac{\\partial u}{\\partial x} + \\frac{\\partial v}{\\partial y} \\right) - \\left(\\frac{\\partial u}{\\partial x}\\frac{\\partial u}{\\partial x}+2\\frac{\\partial u}{\\partial y}\\frac{\\partial v}{\\partial x}+\\frac{\\partial v}{\\partial y}\\frac{\\partial v}{\\partial y} \\right) \\right]\n", "$$\n", "\n", "Note that p has no time dependence, so we are going to solve for p in pseudotime then move to the next time step and solve for u and v. This will require two operators, one for p (using p and pn) in pseudotime and one for u and v in time.\n", "\n", "As shown in the Poisson equation tutorial, a TimeFunction can be used despite the lack of a time-dependence. This will cause Devito to allocate two grid buffers, which we can addressed directly via the terms pn and pn.forward. The internal time loop can be controlled by supplying the number of pseudotime steps (iterations) as a time argument to the operator.\n", "\n", "The time steps are advanced through a Python loop where a separator operator calculates u and v." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Also note that we need to use first order spatial derivatives for the velocites and these derivatives are not the maximum spatial derivative order (2nd order) in these equations. This is the first time we have seen this in this tutorial series (previously we have only used a single spatial derivate order). \n", "\n", " To use a first order derivative of a devito function, we use the syntax `function.dxc` or `function.dyc` for the x and y derivatives respectively." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Equation is not affine w.r.t the target, falling back to standardsympy.solve that may be slow\n" ] } ], "source": [ "from devito import TimeFunction, Function, \\\n", "Eq, solve, Operator, configuration\n", "\n", "# Build Required Functions and derivatives:\n", "# --------------------------------------\n", "# |Variable | Required Derivatives |\n", "# --------------------------------------\n", "# | u | dt, dx, dy, dx**2, dy**2 |\n", "# | v | dt, dx, dy, dx**2, dy**2 |\n", "# | p | dx, dy, dx**2, dy**2 |\n", "# | pn | dx, dy, dx**2, dy**2 |\n", "# --------------------------------------\n", "u = TimeFunction(name='u', grid=grid, space_order=2)\n", "v = TimeFunction(name='v', grid=grid, space_order=2)\n", "p = TimeFunction(name='p', grid=grid, space_order=2)\n", "#Variables are automatically initalized at 0.\n", "\n", "# First order derivatives will be handled with p.dxc\n", "eq_u =Eq(u.dt + u*u.dx + v*u.dy, -1./rho * p.dxc + nu*(u.laplace), subdomain=grid.interior)\n", "eq_v =Eq(v.dt + u*v.dx + v*v.dy, -1./rho * p.dyc + nu*(v.laplace), subdomain=grid.interior)\n", "eq_p =Eq(p.laplace,rho*(1./dt*(u.dxc+v.dyc)-(u.dxc*u.dxc)-2*(u.dyc*v.dxc)-(v.dyc*v.dyc)), subdomain=grid.interior)\n", "\n", "# NOTE: Pressure has no time dependence so we solve for the other pressure buffer.\n", "stencil_u =solve(eq_u , u.forward)\n", "stencil_v =solve(eq_v , v.forward)\n", "stencil_p=solve(eq_p, p)\n", " \n", "update_u =Eq(u.forward, stencil_u)\n", "update_v =Eq(v.forward, stencil_v)\n", "update_p =Eq(p.forward, stencil_p) \n", "\n", "# Boundary Conds. u=v=0 for all sides\n", "bc_u = [Eq(u[t+1, 0, y], 0)] \n", "bc_u += [Eq(u[t+1, nx-1, y], 0)] \n", "bc_u += [Eq(u[t+1, x, 0], 0)] \n", "bc_u += [Eq(u[t+1, x, ny-1], 1)] # except u=1 for y=2\n", "bc_v = [Eq(v[t+1, 0, y], 0)] \n", "bc_v += [Eq(v[t+1, nx-1, y], 0)] \n", "bc_v += [Eq(v[t+1, x, ny-1], 0)] \n", "bc_v += [Eq(v[t+1, x, 0], 0)] \n", "\n", "bc_p = [Eq(p[t+1, 0, y],p[t+1, 1,y])] # dpn/dx = 0 for x=0.\n", "bc_p += [Eq(p[t+1,nx-1, y],p[t+1,nx-2, y])] # dpn/dx = 0 for x=2.\n", "bc_p += [Eq(p[t+1, x, 0],p[t+1,x ,1])] # dpn/dy = 0 at y=0\n", "bc_p += [Eq(p[t+1, x, ny-1],p[t+1, x, ny-2])] # pn=0 for y=2\n", "bc_p += [Eq(p[t+1, 0, 0], 0)]\n", "bc=bc_u+bc_v\n", "\n", "optime=Operator([update_u, update_v]+bc_u+bc_v)\n", "oppres=Operator([update_p]+bc_p)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "code_folding": [] }, "outputs": [], "source": [ "# Silence non-essential outputs from the solver.\n", "configuration['log-level'] = 'ERROR'\n", "\n", "\n", "# This is the time loop.\n", "for step in range(0,nt):\n", " if step>0:\n", " oppres(time_M = nit)\n", " optime(time_m=step, time_M=step, dt=dt)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "fig = pyplot.figure(figsize=(11,7), dpi=100)\n", "# Plotting the pressure field as a contour.\n", "pyplot.contourf(X, Y, p.data[0], alpha=0.5, cmap=cm.viridis) \n", "pyplot.colorbar()\n", "# Plotting the pressure field outlines.\n", "pyplot.contour(X, Y, p.data[0], cmap=cm.viridis) \n", "# Plotting velocity field.\n", "pyplot.quiver(X[::2,::2], Y[::2,::2], u.data[0,::2,::2], v.data[0,::2,::2]) \n", "pyplot.xlabel('X')\n", "pyplot.ylabel('Y');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Validation" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "# Again, check results with Marchi et al 2009.\n", "fig = pyplot.figure(figsize=(12, 6))\n", "ax1 = fig.add_subplot(121)\n", "ax1.plot(u.data[0,int(grid.shape[0]/2),:],y_coord[:])\n", "ax1.plot(Marchi_Re10_u[:,1],Marchi_Re10_u[:,0],'ro')\n", "ax1.set_xlabel('$u$')\n", "ax1.set_ylabel('$y$')\n", "ax1 = fig.add_subplot(122)\n", "ax1.plot(x_coord[:],v.data[0,:,int(grid.shape[0]/2)])\n", "ax1.plot(Marchi_Re10_v[:,0],Marchi_Re10_v[:,1],'ro')\n", "ax1.set_xlabel('$x$')\n", "ax1.set_ylabel('$v$')\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "The Devito implementation produces results consistent with the benchmark solution. There is a small disparity in a few of the velocity values, but this is expected as the Devito 41 x 41 node grid is much coarser than the benchmark on a 1024 x 1024 node grid.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "fig = pyplot.figure(figsize=(12, 6))\n", "ax1 = fig.add_subplot(121)\n", "ax1.plot(a[int(npgrid[0]/2),:],y_coord[:])\n", "ax1.plot(u.data[0,int(grid.shape[0]/2),:],y_coord[:],'--')\n", "ax1.plot(Marchi_Re10_u[:,1],Marchi_Re10_u[:,0],'ro')\n", "ax1.set_xlabel('$u$')\n", "ax1.set_ylabel('$y$')\n", "ax1 = fig.add_subplot(122)\n", "ax1.plot(x_coord[:],b[:,int(npgrid[1]/2)])\n", "ax1.plot(x_coord[:],v.data[0,:,int(grid.shape[0]/2)],'--')\n", "ax1.plot(Marchi_Re10_v[:,0],Marchi_Re10_v[:,1],'ro')\n", "ax1.set_xlabel('$x$')\n", "ax1.set_ylabel('$v$')\n", "ax1.legend(['numpy','devito','Marchi (2009)'])\n", "\n", "pyplot.show()\n", "\n", "#Pressure norm check\n", "tol = 1e-3\n", "assert np.sum((c[:,:]-d[:,:])**2/ np.maximum(d[:,:]**2,1e-10)) < tol\n", "assert np.sum((p.data[0]-p.data[1])**2/np.maximum(p.data[0]**2,1e-10)) < tol" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Overlaying all the graphs together shows how the Devito, NumPy and Marchi et al (2009)$^1$ \n", " solutions compare with each other. A final accuracy check is done which is to test whether the pressure norm has exceeded a specified tolerance." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 4 }