{ "cells": [ { "cell_type": "markdown", "id": "b4bf393b", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Lecture 13\n", "## Optimization" ] }, { "cell_type": "code", "execution_count": 1, "id": "bcf62302", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "from scipy import optimize\n", "import cvxopt # pip install cvxopt\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import sympy\n", "sympy.init_printing()" ] }, { "cell_type": "markdown", "id": "e47ae7c4", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- univariate, multivariate\n", "- linear programming, nonlinear programming\n", "- unconstrained, constrained\n", "- convex problems" ] }, { "attachments": { "stationary.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "f16a1df3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "![stationary.png](attachment:stationary.png)" ] }, { "cell_type": "markdown", "id": "08b28749", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Univariate Optimization\n", "\n", "Minimize the area of a cylinder with unit volume. Here, suitable\n", "variables are the radius r and height h of the cylinder, and the objective function is\n", "$f ([r, h]) = 2\\pi r^2+2\\pi rh$, subject to the equality constraint $g([r, h]) = \\pi r^2h − 1 = 0$." ] }, { "cell_type": "code", "execution_count": 2, "id": "d9b21744", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/latex": [ "$\\displaystyle 0.541926077255714$" ], "text/plain": [ "0.5419260772557135" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def f(r):\n", " return 2 * np.pi * r**2 + 2 / r\n", "r_min = optimize.brent(f, brack=(0.1, 4))\n", "r_min" ] }, { "cell_type": "code", "execution_count": 3, "id": "0dd08f1f", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle 5.53581044593209$" ], "text/plain": [ "5.535810445932086" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f(r_min)" ] }, { "cell_type": "code", "execution_count": 4, "id": "dc409bf9", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ " fun: 5.535810445932086\n", " message: '\\nOptimization terminated successfully;\\nThe returned value satisfies the termination criteria\\n(using xtol = 1.48e-08 )'\n", " nfev: 19\n", " nit: 15\n", " success: True\n", " x: 0.5419260772557135" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "optimize.minimize_scalar(f, bracket=(0.1, 4))" ] }, { "cell_type": "markdown", "id": "eef1dd3b", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Unconstrained Multivariate Optimization\n", "\n", "As in the univariate case, Newton’s\n", "method can be viewed as a local quadratic approximation of the function, which when\n", "minimized gives an iteration scheme. In the multivariate case, the iteration formula\n", "\n", "$$ x_{k+1} = x_k-H^{-1}_f(x_k)\\nabla f(x_k)$$\n" ] }, { "cell_type": "markdown", "id": "6f58ed1a", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "$$ \\min_x f(x) = (x_1-1)^4+5(x_2-1)^2-2x_1x_2$$" ] }, { "cell_type": "code", "execution_count": 11, "id": "c41a51d5", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "x1, x2 = sympy.symbols(\"x_1, x_2\")\n", "f_sym = (x1-1)**4 + 5 * (x2-1)**2 - 2*x1*x2\n", "fprime_sym = [f_sym.diff(x_) for x_ in (x1, x2)]" ] }, { "cell_type": "code", "execution_count": 7, "id": "0cf83c1e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}- 2 x_{2} + 4 \\left(x_{1} - 1\\right)^{3}\\\\- 2 x_{1} + 10 x_{2} - 10\\end{matrix}\\right]$" ], "text/plain": [ "⎡ 3⎤\n", "⎢-2⋅x₂ + 4⋅(x₁ - 1) ⎥\n", "⎢ ⎥\n", "⎣-2⋅x₁ + 10⋅x₂ - 10 ⎦" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Gradient\n", "sympy.Matrix(fprime_sym)" ] }, { "cell_type": "code", "execution_count": 46, "id": "47d84538", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "fhess_sym = [[f_sym.diff(x1_, x2_) \n", " for x1_ in (x1, x2)] \n", " for x2_ in (x1, x2)]" ] }, { "cell_type": "code", "execution_count": 9, "id": "a133fdf4", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}12 \\left(x_{1} - 1\\right)^{2} & -2\\\\-2 & 10\\end{matrix}\\right]$" ], "text/plain": [ "⎡ 2 ⎤\n", "⎢12⋅(x₁ - 1) -2⎥\n", "⎢ ⎥\n", "⎣ -2 10⎦" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sympy.Matrix(fhess_sym)" ] }, { "cell_type": "code", "execution_count": 47, "id": "c756f978", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "f_lmbda = sympy.lambdify((x1, x2), f_sym, 'numpy')\n", "fprime_lmbda = sympy.lambdify((x1, x2), \n", " fprime_sym, 'numpy')\n", "fhess_lmbda = sympy.lambdify((x1, x2), \n", " fhess_sym, 'numpy')" ] }, { "cell_type": "code", "execution_count": 13, "id": "4da7497e", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "def func_XY_to_X_Y(f):\n", " return lambda X: np.array(f(X[0], X[1]))\n", "\n", "f = func_XY_to_X_Y(f_lmbda)\n", "fprime = func_XY_to_X_Y(fprime_lmbda)\n", "fhess = func_XY_to_X_Y(fhess_lmbda)" ] }, { "cell_type": "code", "execution_count": 14, "id": "58ffddf3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: -3.867223\n", " Iterations: 8\n", " Function evaluations: 10\n", " Gradient evaluations: 10\n", " Hessian evaluations: 8\n" ] } ], "source": [ "x_opt = optimize.fmin_ncg(f, (0, 0), fprime=fprime, \n", " fhess=fhess)" ] }, { "cell_type": "code", "execution_count": 15, "id": "c1584674", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "array([1.88292613, 1.37658523])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_opt" ] }, { "cell_type": "markdown", "id": "a099669e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "For such cases, several methods exist to\n", "numerically estimate the gradient or the Hessian or both. Methods that approximate the\n", "Hessian are known as quasi-Newton methods, and there are also alternative iterative\n", "methods that completely avoid using the Hessian. Two popular methods are the\n", "Broyden-Fletcher-Goldfarb-Shanno (BFGS) and the conjugate gradient methods (共轭梯度法)." ] }, { "cell_type": "code", "execution_count": 16, "id": "f58eeb05", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: -3.867223\n", " Iterations: 9\n", " Function evaluations: 13\n", " Gradient evaluations: 13\n" ] } ], "source": [ "# more iterations\n", "x_opt = optimize.fmin_bfgs(f, (0, 0), fprime=fprime)" ] }, { "cell_type": "code", "execution_count": 17, "id": "4822ea90", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: -3.867223\n", " Iterations: 9\n", " Function evaluations: 39\n", " Gradient evaluations: 13\n" ] } ], "source": [ "x_opt = optimize.fmin_bfgs(f, (0, 0))" ] }, { "cell_type": "code", "execution_count": 18, "id": "1d3f3c98", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "array([1.88292644, 1.37658595])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_opt" ] }, { "cell_type": "markdown", "id": "ded01d9c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "In general, the BFGS method is often a good first approach to try, in particular if\n", "neither the gradient nor the Hessian is known. If both the\n", "gradient and the Hessian are known, then Newton’s method is the method with the\n", "fastest convergence in general." ] }, { "cell_type": "markdown", "id": "ed7079c4", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The methods for multivariate optimization that we have discussed so far all\n", "converge to a local minimum in general. For problems with many local minima, this\n", "can easily lead to a situation when the solver easily gets stuck in a local minimum,\n", "even if a global minimum exists." ] }, { "cell_type": "markdown", "id": "8d01b19f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Brute Force Search\n", "$$ f(x) = 4\\sin x\\pi+6\\sin y\\pi+(x-1)^2+(y-1)^2$$" ] }, { "cell_type": "code", "execution_count": 50, "id": "10af0d17", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "def f(X):\n", " x, y = X\n", " return (4 * np.sin(np.pi * x) + \n", " 6 * np.sin(np.pi * y)) +\\\n", " (x - 1)**2 + (y - 1)**2" ] }, { "cell_type": "code", "execution_count": 24, "id": "058ae5bd", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "array([1.5, 1.5])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# initial point\n", "x_start = optimize.brute(f, (slice(-3, 5, 0.5),\n", " slice(-3, 5, 0.5)), finish=None)\n", "x_start" ] }, { "cell_type": "code", "execution_count": 25, "id": "4c4d7795", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle -9.5$" ], "text/plain": [ "-9.5" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f(x_start)" ] }, { "cell_type": "code", "execution_count": 26, "id": "ec343f61", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: -9.520229\n", " Iterations: 4\n", " Function evaluations: 21\n", " Gradient evaluations: 7\n" ] } ], "source": [ "x_opt = optimize.fmin_bfgs(f, x_start)" ] }, { "cell_type": "code", "execution_count": 27, "id": "cf95227c", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "array([1.47586906, 1.48365787])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_opt" ] }, { "attachments": { "brute.png": { "image/png": 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HD8Y8a77zs47uoOkb87/b0Ojf2PpfVJq1w+YPKDh5OpEysp6jC3/mWQ6gPzQFwTUfoyqVeuH0stouN2BQUL7MjaiX0zW6rbMo6jQwcKDiiRMnKCU5mdpG2U0xigoY/L7mDjp5Ks5cQYN6H1P5ss2N8617JlLq/ulmXav6D1GjWv2N87PMlGZKwnN09Mx+s14FDrKPZ9GncW9YwEGrWtF0U4u7LKpPcxAfB2BwIVFRbYUBAeJ4Tow32uBFHFO3O3Wp38vVfEccLxDHTmZNWN+QpiOUZltewAHMDsYs+8D1wyWbM+Aj+PsNr1qk2HNT19O9sfmqZzdwsH5fOt35yyQbI/5STB+6vVUHG6MZCHpizClb1tJrDKRwsyE+D7QE7/e+kaJqh/Ii216+XjSA5Hdct1uUgIgPAKD1zMpvKeFQPhjjdSPDutKQxh1tzAWvL4o9mJpPN/2iBAjtqoXSt/0etdxXcU5IXe9c+JVpNoY6J2k3wMHo+dNM0zE+zpd9bqKBEa35qWUvm+3wSkjpJwy6mcKDavKigOyh7Xg9dhH9mGIVSADUfDP4FkfzpoKCAvxGFg4dQ7UrVLFcjwoUyGBc7PDlppk0KdmqWUA9NID3t74hIIBAnB/HeI+s3buVJiTOocyTeaaHYhuv2gpo0T5noFnWlGAsPJ9vdrnTIpQQ5yiOYwD6VzdaTbSc1gVQMGrBqxbANKbtcBoUlsf0Y71zk+fTjzvyx+tRryuNbJOvtZ208TOLoOruto9S05qtjEvFN/mrtQ/T2T9OGuelryxPw1q/REEV8s3wNuz+hNJzfjHq8c9JU3Dk2BLKys4zdeKNy5eLoXp1/n1ZmQ/xtWF/OTHNgVpLoMYV6Xi5HGtg4HAnOPM/ecpUm4/B1KlT6emnxhgRipYtW+4wgnsxHrK0PSmUsutWUyogmhSh99LEx02Vo2xSlHMig6Zvesl8EaH9iHZvW15EKAM4mLjhI1PKgTIwsHdHPRpw8xvM5XWDinbalv9Z1sn7Yr3dG1zLTKF6FQjQ8HGKeg+A8OPWbywfC8zh5NOhAgeimhp95Q+YrOpGGxkcQKr9Vb9HUGVuMrPsBg6cGEcw5a90HRBQ34OU3P00ZskMi0SbX4QvLQHaydeJslERHejZDte7ghrZHhn9sAEQPNi6PwWXr5pXUAz/N+zfybQk8yxST0zrJPnkS9p34gjdz7Qk8bmZvMgRHKCBaHPPO7iBA7SZunEdvbZqmQ2wjWrRloY2a+XIoKNvQTaYDU3eGE8vr1pm635TeFN6re9ApZYAjQEux/w+1+znpBmRNS5Ovw3ZfAhM5/ie9yufDTDjL61i0mbJnAdS+tFtbrLYsJsLLIYDaC9ej59oAwh4r9zbYpCFMXZajhuAHdtmsGf/GKfx/S13AvROYFolcJFNNfFuHhubz4w3rBxKT3d61NR4Q4P99YYPzKV2b3AdDWhyk3ku+hWgcFCLZ6hR9bZm/a79v9DmPZ+Y50EVo6hrZP58vCIr+z06cmwOPzX2ojWBpcLl5M8/dtNfFw7Qn+d3sn02/XlhH/15Ll8Iia4lSlSiEqUijVFKlKhIV5QKoyuuasX2DVldeZfR7VWXE9McqLUEalw7NS99iQYGDveAA4PeffrSxInfmK2gSRg4sD/tTE2lF/79YoGzIvOH7PiJONqzN99MKLjGE1S96vXGfKfO5TAnpbvMuWUJgwwOIKW4p8NHpuqSdwQD+0X8Ozb7eDfbeN430HsAgoWpsynl0DbbVOHVmlH7kK5KCbyt8SUsEJ3R+DLkDwcvl8EBzK9e6T6WqpXNZ0RF5zj0g6PiF32ft0gbZaYFDoJj2g/l0xh7mWkGA7Tmln85MsxOUvthjZrTc12uK1LzIgCCbzavttiB88UDEIxo2dHnfLJ9OPq7OVyjHlLQR5gTsOhciXL4DzwbfZOS6UN9cWxOAAHM173M+VO1AdS9sfZn0yEZbZw0B6ibm7yJ7l30Iw7NzRc4ALP+/MK5Nuk9BoD/waOduhUJQHACIdBSvNLjGureyNmhUDaLAyhQOarH7tlOwxfm24A7aZZk8O3EdIIG+L2OXfmphfkG4z025m7qUKfoTNAwV0E3+DuoNAgALk9F30E1y+W/f5zmcHo+AWD9caB3Gt9LOQD9mywwgOinw+d3+o08FfuhBbDJoED2K5Dfyfh+ioEnZL+CXbkbaM7WN83lt6s7iK5ufJt5nnt8O/2e9KR5XrlcBAMF/zX9BnmFDApgOhQSPJYqVojhTVz3AALnT82mC6fm0F9/HXNt66uyRMm6dMWVLDhKma5U8qoWVKKku4aQ8zO+xi2O+kCtJVDjFgdN/J1DAwMHiqWkpFCvnnlqRoCDzp0707Fjx+i7b7818hkUJiIRphQfsrTMZ0yTIrwMGodOMB2LZJOidg2fpnpB+erPpP0raX7SR+ZVOEUqQoN5O35kUX1+NdviAMz3HW1HF7sk3hcg6Bs2uNAaDQCnrKNJzB8j3rjmAyd2WjQsnBCVy9SiSuyvcpmabF+D/QVRQybt4bahvJ3bHtfz9foPLGZb8INQ+XRs2r+V3ovLlx7J0inMgw/5y3H5EVCg/v9353stS5CdBL/r9ZDN7lmOAOLGNGJwg9FcOV/JsAMg9GvU1NH8xLI4xQnGnrNjE01LWq/UEPSt25je7DnUJyDAOLf98plFUu4k9RWXAcbmnqXjbUzFqzHDfTr9iuME+lhlIgGt0Ic97nU0LZJBktt9Lgg4wDXP3b6Fnlv6m017gDow7w9GdaT2det7NjMC4Fi2K5nWZu6hWcxkSDYjA3P/T+ZLcH+HrpjCcfNqPiQ75zs9M7Cvv2NJ/u8TjOev149VgkaVgzGiio3r8agFyDsuvhgrIDlXRUjyR3uA5QI0jWXRf0TmnF9GoDRuTqAEv4vXutyhvDdYk6+gDmjzQ+JM+mVXvvmXHBziy/hxFsGVGAXv+JlcmpTwtPldwbfktnavm98OVTCRrpFvUuVyoZja3A7mTqUDuV+Y56VKhTAH41fNaIVmheLgj9NL6I/Tv9o0AoqmBS664sqmDCR0Y3+dGGBoaBtH5GdslcVcEKi1BGrcYiaPp+k0MHAhE7QDscuWUdbeLFq1apXRskWLFtS7V2+l74HLULYq8SE7f/4gJe++2WxTqUIvZk/4gnGOF8vSxEfo1Nl9xjlMiuQXixjCFI1UkYqMzuwfVKLTtnxpYWCL07Qo0IAADmDbs3+njCNbLD4Y/Pr92YOOHUKHUsUy1T11U/l0OIEDX/asmFD+qMk2sXKkIjAwKvtnf5hGfqHwPXhs8U9mqEtejj0YtiEMJNzVqpMy/KPYFkx8MtMOzEjaoAQbfLw3rh7oCXDIzB36h1esThP6sMhXCgdrvhZZAoxyJ3tk3sffPcw2yjOtjBj60N8xeHsnECP7k/D22Ptzn6GxGTrrfxZm3GtUKgCEt1bHmmFDxTXgGM9Hz/oNqVPdUGpSo5ZcTXuPHaHpiZtpYcZuWx0vgKnSM936OJoN8XZeQQGew/6z3rM4p88b8BBFBVuZHC8O/nxuGbyjXJZG87a+9tAkQnK9IzeFck7l0sHTuZTGIsNBel2jXA0DZCCoQ1C56lSdhUcujE8XzBVVUYygPXiJCR+8REri/geTWCQgJ4AwomnPQvsg4HfrFDrYV5SkKdvmW8LEqsJAy0KamNpRNLp9vgBG1gbLWvafNr3GvjX5UdBkc17RHBjPQMfwlym4SnvL4yD7FAAUNA793Kc/wfkTU+iPk1MdtQOQ+pcoWYdJ/NtSiSsqUIkrG1nmNU/+OmmYHF04t8ETuMC4pSqMYiChg2lyJPIz5riX6CBQawnUuJeITK7TamDgSp7AVcoPmSwxEB2RkdtgaeJoczEq+0T5BSXbOJqd2YFT6E04Jg9scnNAHHsDDQigOVmd9kOhwYBIJ37sD0BQ0Vb+mPBx3SJgoI3KNnb6gNcsan8wkEN+e4cPaUTRkf0NUCkzjV5CeKIfTDRUUYJQxzdEMqpSuiy1DKpNlS5GDUrM2Ucbc/YqgQXvBx+GB1p3oUFNWjuaN/G22KtAQd864TS+912u/VWgQGV6Jc7ldgwAsPlgCmUzBm7fyVxKOpxucWpEXzAhFRlQa1sjgkkzq7NQkWGW++Y2Pq8D83Xngg8sztFuJi3o5899VoEDOJ3fz6I/edkAEHwx+F7GEdv4ExpVZT7klKvgzl8/p4V7U8ypVCZnsKW/7udXLYyuSguHQeSwlyiTI9ygzG0DEFi8O5Z+3bXQzHPi1l6sA2CIDo6iLvU6mqE0xXovx3NSY+nLrXMszy6e22di7vQMbvGMIsyvU1QvPK+jmvWm7iyqlz95EKC1eSnue2XoYIzp5OvBrxu/0YeW5b8XVVoc0P/JxWNN2oOm7/R+1fQrUJkQPdIpT2CHeWRtfecGt1JM6GC+BJL9CpqGjKQmdYaZ9Tg4czaNdqbfbZbBYkDMa2RWCAd/MUb+3JFxdOHsYqE07xBM+5VlB7C/Pj7Nf2ydLxbAP+HP8+zv3Ea6cGapM/BgPgpXlr+V/Q2m+vXCL5sY/zJv5XSd/pYHalx/11Ec7TUwKA4qK+ZQPWTJu0fQ+fNZRmtEIWhQN99uUX7JyInP5EhFskpTsQSlaRHagZEtKkdfRBn6PX2Bzb8B88CMqbAmQ74AAegQFtSBQqo0NdW7mDuofD3jHBoGbFlHkox9xpFEcjI5AkCA7agvEyOVT8fomOdsplEq21bxw4QFyQwIpHpvd7c6GsuOtG8y0xhVvHGZaXSKf28QQvoH85MFu7bbcgtIzXyecm3DDZFtXSMNyQOpQMETLXvQUzED5aaWcxkUQKviFmrS0lk4AUhzi/QiNHU8hDR5RLP+fgMEOTIO/CHeZ2ZFTps/91kFDnz5HMjzIoLR4p07aEVGmi2sqNxWdQ6n4n6NI6gdM0NyylEh95PNodzC7MrOxnBOV8XMl03zVHHwsQ48C8PnjbUw1BP7veCZmUYo6EW7llFsxgqTKZWvz59z5Iq5tlEfpqGJMZlar/1V2gNVwANf4/kCCOgPM6O6FapTk2p1qSILY40wywALAGTJh7Nox6FMWp2dTBtYlDCVFoKDDDmxo7w2+f44XY9sQiQHgliycx7NT51hDi+aEKHw67WPmoIo2YRXNiFSCfPkPAVeQAGY9nNH3qQ//7BG6ypZujddWe4aKlm6g7neojq4cG4rAyGrGUhYxhyZ8wMdiOMj+dee9I0FBiPiWIU9VvFWhR0T/QM1blGsrajH0MCgqCnqcTw8ZLtTJhkRALjNnqxSFLUGGHbB5n+YJkVwYOrZ/D3LbHIc5XpVWrE4ys9b2sgnkOSrogFVK1uDrgkbaoRjE7M6yv1V5zCp2XUomZan/6aMMoSxB0feZoZ6U43hq8wNEOAl3Ty4B4sKEeXZDEicDyALiWqQYZqHn+P1cPAe1OJpCqnchBcp99AcvLfqRdNkC+Zaz3V/y+bLIWeallXZGFxWib/V5SGbU6PI1DjZRKts81WSU+UFXSzEGPAT+GzTSldtgDgGwEBUjRDqUqdhgUKgqkCBl3WrQIHK1Epcq3wMxml2yjKaw7JSy5ll5bZezwsCEOSsyWCyXu6cH0pRnFt1n1VmM7xPUYADPhb8BhKy9lBcJsvgfhEoGPe/pjWPRn3mk9CHgQE3h2I+przHert9/7FZjPGdNAV4dsS8HvC9mDPkMbMvP5D9CpwcvlVaPK+aAvzW5+z4hZYxQKDaILFuwKLhhDKToXKMcUYuGGwZxzLpFAMjyCeDzS2nTP9G/ej6iGv9Bgiy2SLm8XpdaMs3AIS5u+Loi22LlNJ+3s6fPfwIHm49wFPoYNX9Ub0v5ShEcmhSWVsgm4TK2oJhbV62fBNk38B+rb+hclcFWS5bdjYOCX7BNUcBGPRzh5+zSPBh+1+66n+KjSE3QMLpBcynYbblWgAM0tNWKv0PLA2L4SRQDHygxi0Gkvg9hQYGfpOsaDrgIUPa7iuuiqEy1d42B3XTGsjRDWRHZAwi+xvIERLMiaQDSEdi0+abjKxYjSgMLWpGUVSdTo5mRgAY67JWUSqLLiQn/+JjYZyrQ/sVKsoQHIoX7PjMkOrzcfkeQKhjgxstL2heV5C9G0DoGTaKWof0dR1WDnGH6xdV0byz7G8gS67Q7vZfXjCjnqiiFME2us/P+eHvnKTKBWWy+VrFPRhQ+A8cP3uGknKy6Rg738JMiLABBEQGBVNE9WDPUmBxbH6MKDIPsZwMuYzh4FtxgAIwGJ9vmkGzGSBQbTBNaFeziWGP3apGuMW3AGYMB04dYpLQXEo9ksGk6ElKUAGAMDS8pydJs8qsyM0cSr7PviJSFSU4UNGrqMpU61x+yz8dfV0GzXrfdFJ3cjYGbcWs4pBMzxj4rHLJMgM9IqIf3dvaGg1M1RG27F9s+FqpIQBTOqhJf0tkMtUYvAyaxtWZcfR7xmpLhl5eD4BxX9u7qXUt/yIiyQIIjOf1+vjc4h5mjrN2rlHm6RDbOR37Awj4GF7vz9urPzQBlmxChLHkQB3Pd3vb/PbJ2nlZACdHEwyrNYxa1B/Jl2jsZSFglUqDWASixy1txJM/WKShc8fyE1ei7sqyg6lUpftNO3+xfaCP5QhIAAaBSCpWkOsIFAMfqHELco2B7qOBQaAp7DA+BwaoLl3tEyMkGI7lF0bj0K8tkQlWJL1AOcfXoymVK12b+rX6n3Es/puS8C8L4yxLM8S24jGk3It2zqW4rFix2HIMyUm1stUZ859Lhy9m/z3NJOyZx9Is7cSTojAZwnhyeFY+R1EDAj4u3+NDEJc+y9Ag8DLsvYADWR09JHIEM9PqKQ5jOB2+uPw1xkzmGOWIUvRiNytjItvMyo7I6ChHs5l1zZNKKZuKaVQld7Is8hKcIE5/X5bF2V9QIPtdODllO12SSurI2/rDzPM+GA/RYKYmL7QBBCczB95X3KvAgdM9Rj85NKeTCQ2fQ2a6IYlfePM/CwXs+NhFsQcQ7fgdex4YEOWbm9mTbELkZDonm2otuv4FpdOs7GysihTG1yXuZek06sCMXteoL/VmWXULmh0e42DsRbuWUnz2ehvokKProL2vTRVlSc7A7msMuZ5rEbJOHKLEQxl05Nwpi98M2uM32pYBsk7BEYapUUTVEMdIQ/L4/Nzr/ZEdjsXsxhgL38HXlj/Fh2V5XKw5C6BNXpo6wayXHY7FRGZy/iHeKSl1kJm/yJez8YWza+ns4ad5V2N/VaUxzHRokKXsUpzA3+GPk7OpUeSTGhhcihsQoDk1MAgQYX0NKwKDK8uPoKsq5tsMi1qD6lVvo+Aa+XWy1qBn8/G20GdgZMUsjLJEw9faIP1fkb6IUnITlRoEX/1RD3OhlrXaUzumZQiuGOKli2sbFSgINCCQF4R41b8lfWyaF6myW8p9cC6GuwNdnu32hq2Z/LF6tfsLRuQRseF/WAKlxVl5oBAS68/6WsED2vaa8YKpwnfSGqAdMucOmJcfktEX04g+xb15cRhVremGuW+YjIe/oADjPbDwDUv2aTDvt0b0pT4NOvjtHyCujwOEeUzlLmakVTlGiv3EYzlqDqSqKmdz3uftuLn07pZl/JTW3zLWlt3XrGQHsWk7aDjLhM03hKj98Nrh/PSS7uUIRG6gAAvt9sPrZhQiOKl/e939tvWDaW0+7Qmz3MmECA1ErZ3XeyY7uGKcm5oMLjQgwDjihnl+Zpl7xbCbqC8IOJD9mjCOPz4UaO9lA+3xPNeuUM1vEKAa3+v9EYM+qIQwYiQilQmoKHhTRQCct344nb9w3FiiyuHYl/BPvDYw3mcODDfNh5CU7KoqYwPiSyDO6+/x5SRND9RaAjWuv7QujvYaGBQHlRVziMAAdoJlgj4zW2Uf/JJyD08xzuVsyCgUfQ1Uakq0kW0gR3X4pED29gAJiQc2MpvhWJ8gAUxvt9BrqFnN1qbaFWsp7CYDHYznRVpf2HlV/WWAAn+GG1v/y9UhGT4X7676tzmcyhEZlU8vfsHUGsBW+ObmVhMFfLBHLsg3F5IjFGEM2a5+7Y2vOX505RwHvphGjF9cm5yczUnaK69Hvn6nqDJyP34umyJAQ3B/6xs8hXDkY3jZy2YbXqXPGFu+RjetAdq3+O4FU+viBQDK0X6m9R8R0OzXWKOvDeFzB8zM1476ip4ka0uWDx2jDGcrO+4nDn9XGT1H1th90uNJFmmqsa9lk2iygsYFYdR9TiI0SMndSe/Hj7doDwoyp5yB3UkQIUx9SQ9lbYHq3YgFAkA9OD8fCKpo8+HqV0wNuOxbgLwFE9Y+ZF6rHP0v+8g6WpPyolk/IGq6LZFZxt5X6NiJJUYbMTS52Uk4QEjS8yc+N0vKBE28LOz4zQVdPLicmOZArSVQ48q0vBzONTC4RHdBBAZYQtka000HIjmEWUTDH8yEZ2grOjY5mROhnRg1QSXZQBuvG5yx1metYSBhPdWpFEplryxrdK1aNoiqMtMiOCgXhWZAXg9AwU+b/msxjZLDwsl9An0ugy4vtHX72PD1LmGhC7/dOs04hanBJ9dabUpRIUrFVOZEkMKJ9tJuElDDNOP7/5pMo5NUla+vuPbyupwcRuX1yNfuS5ou9/9y00yalLzALFZFgDIri+BABiH+mGyImiFf1+kvAAT9+/8w3nQuh0mRKotwEZDA8xCDpn9qJsVDmNtfbh7tGqJW1Da5PdciHd0cusXsuV6fC9l3SAX2PRPAj4YwL3p91TgLOFD5LfkaEuFMx23Iex+hrT/Pp6+xi7pefC8CzD/RXu2YvyYznj7b8JUxvcq3QDYjurvto5YgGaIZESLe3d3hA8uliGZEdap2o5iwZyz1cs4iN4dj2PGfyRllagvgU3BV5XxQYxn4Ep9cTkxzoNYSqHEv8a1TTq+BgZIsgS/EQ5ac0M780V9V+UXmTNTLnFi0QQyu8QRVr3q9WSfnNVCZE6Gx+BLDeUG1Buh7qTY5P4MXJrw41jo38QOWUXm1OZUsOTIrLh4gbOvULV+Yxf/p/bHPCEWPxzxkcyAUmVcnKd64dTPpw215DG7jCkG05IZ8LYO5gIsHsmTeLXqN3DdQ53K4TSdprzy/7GPhZCsu98O5LBH2aiqiGstrmcqXwask2h+tgQy0vGgNZAn9qKbt6NWeQ7xeWpG2k0OT+tJgwDcl6vtXzTU4OavLDvtOmhdZU+clWg8k9/9dlR9HX2WyYi4wAAcyOHASNPiaWgREaOv1+fQ1blHWe9UWYM6Xl79hOmzLkYhQL5sRvdz7IxSbm2hGpArsIZoRqYKD5B7+mbIPvmuMh/CkkWFzzLHlg3NH3zWj/8CEqEzQBFN4KLe91OeXE9McqLUEatxLfe9U82tgoKJKMZThIUvd8oCZpKRUhftZNsHbzJnFUGaynwEaieZEreo/RI1q9Tf78gPZBMerEzLvf6n3WP+nK+8xl3G5gAIsCGubkvCcGcfalxZDDn/nZE4kfrhgizyQhR4UN5lJiR32qVhtHCMueIefnjfL0++0tzEr2YFoi/1Su+vo/ja9xepiPxZNX/xZjxiy1U36q7ogUXoPn4IJ/cYWyp9ANYeqTDbZ8EcqK0q73TRDmFfWGuwblc+0qtaFsrdX/UbvbsyLygStwdZR/3JqGtDyO+dMpIWZO405+tZtTN8OGuk6n+h0jKzYy29+TtleBJJuAFo0+0JEsMn9nYE2n0jUFqgk07xdIPey31JBtAYAr2LOBn+ez0Bemzi2CF7ctAXoM/LnB82uKsHLpI2f0eb98UYb2YwIhe/H5vvbyMIg2f9PZUaUlvkMnTwVZ4zvKxLR6YO3m3kDZP7AGOAy+nc5Mc2BWkugxr2MbqO5FA0MTFIU7wEesl1J75j2g/IPX8yELCc7w0rF6EQqByd+NaLE3RfzyvtcLns5L8Nj3fPV2pfDGuPSZ9OqtKnGUrw4eItOyE7AQGQoVMAAk3Wfnv9xUwEDtAn9Nr+Nm58B2ooOqv4w4ugbiK32hCfNYf3RYIjAwEn6aw4sHYjMRXEzPyLj6Y+vgcjY+gIGsrO5F2Ag5wvYN9o3QyyRtUhORWDgy7cAE4ogyM2MSKSfm6O+eH+8hu+cuHGyma/A6XdcJMTxMYjo46BihH10N6rF6/fn+fQydlG08ee3KwKDT6991xYRSnxHqzLWi8BAjkYkA4Mh0fNslycCg5rV76Ma1W+1teEFp7LzM5CLkQt5/eW0v5yY5kCtJVDjXk73ka9FAwNOiWLeFxYYxKW+SXsPLzdW/f8DMFDZcxbzLbNNVxhgoProYAJ/gYFTtBARGPhikkVGyks2YRshirhABAb+OET7c83ykkXmQpUQSW5flOci4+XVfh3zi4xtIIAB5qg9/gXsjC3lH/9ytevn7Yp6LwIDX2ZEmFt8nt3MprzST7w/XkGjyJBfLsCgoOsQr9+f57OonwOn8fz57YrAYOL1dk2qP8BAFlSJwABhSgdE2QVZIjCQE5jK1ycCg8vV6Ziv+XJimrGW+Uua8KUV2f7aXjsum5CsRXZRDgNpYOBAmEAXy8AAKc1LV82PXHP8RBzt2fuMsQyVxmDH3um0PWuiUe8GDBbt+B9tzV5ktPu7aQxEHwkvEnnjIovxH8KXztn6pjGjl/X5+uhgIH+BgZPNrz9MsshIuUlYi4u0IjDwItnm6/Lnmnkfvhe1ME405W2Lei/6Nzj5jajm9MrYoq+cAdgrXUVgMG/oPyiqdqhqKQEt6zbpXdMR2ssaxOfZTQMmZpN2A1YiY1wQYFBQSX1RELUoNBcFfT6LYv1exhDDC/v67RYXMAiqGEVdI+0aNjEUuT/AoFywc24hLzQKdBsNDAJN4eIdXwOD4qW3OZsMDOQMyCdPJ1Jaxj+N9r6AgSr6AZ9IzIT8dwMGokT+ctQYiNGJvACDH7d+ayaP86IxUDnH4b56YWL9YZJFRupSAwPZ5CXljlc9S6n9uWb+++B7kabFrTGQnSedzMP4WvledDL3FZlIdsj9OwEDEZx40RiIEYncgIFoeuYGDESHf6+mRCIDqgqJye9hoPciMIipHUWj2+fnxPE6d0GfT6/jF7ad+NsNJDCQfd7cNAaVy0VQz+bv2S4tMTk/uaUbMPjzj90sItFIs3/ZWr9ckgzH5gJ8HGhg4INAf7NqDQwu0Q3DD0l0PpZDkfnyMVia+DgdPZVsrN5NYyCGLP27AQNRIo8LvZydj8OCOtHA5o+6Pk0vLn7YzAWhyoCMzv46H6tMieRoK758DETnYzfTC9eLK6JKRNAJ/26sOZobY2c2unjQdtoYOsSyqmLz1/lYDHcI5+NpA14t8twFF5dp2cnOnf5oDArqfFz9qrK09Q67NNOyMHYi5zNYfss/Kbx6LblZwM/FUKVenI9Fnxm3ULdixuN2LOvujIH2hIG4OFFj4NX5WDQlulTOx3JkpIKYEhXm+Qz4g3FxAlFjcLk7H4saAznaoEwv0ZRI9kGU217qcw0MLvUdKNr5NTAoWnp6Hg0/JLdwpaItohyV6PyFUzRv/TBzrqsj36HqFZua5/xAZqz/L4QrvTbyYYqs1YVf4iXbi9oMLMJXxKftBzbT1xvyY14/3+1tWxI4OfmOKoqIKL10YlJESbIbw4N1X+7hSsHELmTJqWpXqILlum6iaQ0a+gJE4mBr926lp1fmZ4L2h0EXx/H3WMxmjb6+JJ58/OWZW+mOJfnr9XWtIvjz4key7/hR6vvDx5R79owx5aXMgCyHK/VlTiSbTTmFu/VKQzkSmBeNksyUF1Raz++3v/tDpw/TC7GvmrkMCgpOxGhdWIPX59Pf9RamvZxvwSm5GeYQAZtKIyuGK1VlqReDeRQkXKmv5KUiHeRwpWVr/SxWX1bHlxswyMjcW+T0uZyuscgvThpQAwOJIMV1iodsx7pwczoxwdmFP09SUupAs05WOWbkxFLC7reMeicnJ1SKsfa9mLqYEzocIIMvwm7KW4OqYXJRkZ3LYUExsBwNosgm8ziQnP3SiyZDDIPXqlY0jWjzgG02OfmOrwRnTmYNoiT5zZjhNDwyP7qFPKlodnGpzYj42goSdx995QRn/moNRMkwxnOiL+qKYpMZGn/mE+3jfZkRyVmAvTh0PzJ/Gk3flWhcJkKVLrz5n1S7YuWiuOwCjSFqDZDgbPkI90RPXoGQ+FtxMycSHVy9Rub5IXEm/bIrL58ILrq4fA0gYHhr9QdmvP6Czi36FmAMr/4VaFucm6zVcFunmESyZrkgequ3VXMmJziTBTii35vKvNVXgjNfyUtFuiHB2emD+QJAOdeR2PZSH19OTHOg1hKocS/1vVPNr4GBiirFUCYCgxIl67LMx5PNWUXHYxQ2j1hq1uFAjEjk5F+QcyKDJiU8ZfYriKQdQGDXoWTadXgHpeQmmmYw5qDSQd1KDahFzShqVK0JFSVYwLVM3/QSyx1w0pix9JXlCdKa1iF9qfSV5aRVBPYUa/k58R0zfwHWck+Hj1zXATq+uyrfsfzWlvdR2zodbAv1Jc2SJZcqM6IN+3fSkN/yY9S7SZIvR20BJ4ro94AypyRVvD3fy1oDXxGZeD++FxlAlIEJfKDNTUWa0wC5CxalraXPE2fzackfDYVsKja+6z00oFG0OZZ8MGjW+xSfm2kUewF/soTeS4hQec6iPvc34Zr4/EDrtOYWdUQlUbuGXAZzBj7PfFrK2pYv29mrfntyJzDoLy5/jQ6cyjGqILW/o8Vw6ljX+V7JY/h7DuHCjB1zzDnRvyAmRHjXjF35KWWezFs7tJNf9H2+WMzr/L1mtBc1qTAF/LDnGGpYuY5tKGhSnliUn+NFpZV9Y/mzdOj0QaOv7Asmf1dlTbEstOvX+isqVdL6jRLNiXyFLJW1BqWrf0hXXNnQdl2XuuByYpoDtZZAjXup751qfg0MVFQphjIRGMgRicQXR6UKvahenfyQgWJINCxTlV1RxUg/2GWCp6uCRmBV+hKKTZvvEwj4GjC8WjNqzoBCVEhHW5ZfX33letHRl9cVN0AQpUV8DT3DRhkAhZ/LezmxWVkGZJ7r/paNHqK2AGOoHBZFplVlRiRLzN3MiGRQ4JYISr6m4jiXtQaY04v/g0wD9PPFOKMN32TpIy8HQLimQSfqUKcFL/J7DwnsgvQ1NHt3XtIwcQAvjCbaAxTc/Ns405ei2lXlaMPwceJQlmM5i7QvgCWDAi/SecuEATwRw5ZiGrdszLKztZOvgQyy3LRM188aQ8fO5/mwuDGfIglkkyLUNQ9qSlfX61SkAAHzzEqeR4k528XpSWUuY2mgOJFBEJp4yfasGEpZBOEFtr0nD9HeE7lUp0J1qlO+GrWt1VjZ3kshwPawefkMv5uf0NOLXzCBkyojtRgkAu/rxzu/bDH7FP32ZE28bOYbGtSf2jZ8yHIJojkRKurXeZMqVoixtOEnF85tpbOHrP0vR3+Dy4lpDtRaAjUuv9eX014Dg0t0N0RgICYvEVOmY2miGRFeOksTH6FTZ/cZqy5XujaLfPChRSIBM5dJCU+b0nU09Kot2LB3Lc3aPskVEEArgJdlyqFtxhq8/kMWya6hvSm4YojXLrZ2AAdLU7+yXBtvBHOeDqFDqWKZ6ryoyPZItLYm7SfKOLLZMqYvEyKAgi/i36HMY2lmP5W2QLYHVn2sZDOXMW2H06Awq4mQGGUFE37X6yHqVtfOyMrMIiSqMweMpvBqtc11FvQAtunYisLsBCYwD8VOodxz+eZrkHiP732Xa6SiebviafSKryyX4MukSmwsS0vFOgCyHgwk9GnQQSmRFNviGEAD/gs/JC+m7UfS5WoCA/M4u5e9Qn1LkWVQgMHcQI98n52YY74oGRTAhGjmkH9cEodjviZxj4RrQ2f9z/R7QJ0bOBCdkI22ER3o1auHiUMax6ITMgqcaCozzG7MpziJDPp5HUxZutXrQr0bdrcl2uJt3PaZx/bSqoy1tC57vcnoiu3h13B36xGex8az+vmmGTbg6suhV5xTPgZQn7srjn5IXU0Jh+zPv9weWptW1epT82r1GKhpReFV7VJ/uQ8/F7UGKIMWblyPR21aDjkjtKxRkc2JIOC6N3oMn4ZkIZX8fd26ZyKl7p9utpd9AGEqnLLrVrrw53GjTckrKrLv/IdUpnQDs494IGoNeDmiGJau/BSVKFmTFxX7/q+/TtKF04vp/MnvKaLt0ssmxn+gGPhAjVvsN87DhBoYeCBSIJrgIYPzcckyPemqynn2svILQw5T6uuFg3VOSfgXHTiRJ5HBufzSQpm8ARD8ljrTVJ+K9XDACmMvxsbMPKhpzVY2STdvm3Y4lZkd7aCdh5JcQQNesu1DuipNafhYbnsAn7XpM83cDHJbRAdqFtyNQio3cTXvkfvJ5/BtwAdgfeZc02yIt4GmomfYPT6doEW/AvQFOLqpxZ18GHMvmhCh8NXuL1DdSvkfRNmESJVkaFpSLD0Tl59Q55Fm/WhM+6HmHPxA1hQUBBRAmr8sjYGlrN205/gRY+iFmfnPHJ8LEWTqV6xC9SpWpeiQBhTBItpUuKoMr/a0hyPpqEUTKeV4rtkeDO6U/g+4jgVwMJbRg0cpQmc3abA5+MUDMEmzU2JpavJCU0ost8E5mMPIqqFUsVRZCqtSz2iy4WCysY87YJXeGoUX/6HfoIZd6bZm19oYF7EdP/YXFEzZtorGrJ7Bu5Mvmo1dOosmbE8w2xcWFKTkHKB1mXvo2EXnZQwcWaMWVWRgA1vF0qUpPMh/pgbA8/75Uyj+YL5zoRs4EH1oMK9KYwLmddDc12jniTyzGWhhfr1+LAWXr4oulk32C3FiPi2d2AmY+Akbv7XY/YttINkPKledmlQPNxh58fePdhAe5J46RKeYsGFHToojGEBbaCSGRAxggM67BB7vmDfjvrWAV39AK+YVNzh2z2BgYOae9WKx38fwnxnZrJdSwKEaTHaWdro/49d9SXH78tcmv3OX7JxH81Pzfz+yQEd0QpbNSb0I8MRw5LiOUqVCqHHo51TyivKqy6I/Ti+h88feo7/+OmbWlyhRia6qMpZKlrabpZqNAnCAUKp/nJzJ1pRvCtmkfYoGBgGg9aUaUgODS0R5AIM9GSnG7CVK5L0MsrLfoyPH5pgrimj4A3th1DDOj55KZ9qC0WadyrdATGaGhqqoCeYA7ACRcmYnTVECAjCxfRoPtKhQxb6+jjF24oGNtGV/vFIDAcDRslZ76lK/V4Hm4AAhJWe1UoOA9dWs0Jj9NaQaFUIpqEJ9Y8mVSgfZtAoY69jZHDp+JoeOsb+MI4k27QC/Xox5ffMnbGPwer4X1dEocwIFYpxxtJOlV2BQxyz7wPxg42M9od9Yi827bA7hZEJUGFAAaW383jQDDHCnVKzX3w3Rbfo1akrtajfwrFUAELntl89MO3nMCdOn97sNp6hgZ3tbFTM9tH4Uvdp5hNKO3OlaICn+NW01uTH6Tn3lcmgcRjUfZJgklWdgwssG04t7lo63gBwnqTbGk0EBaPXLkMeVQAq0fWPl/EKBAjDrCQwEbD+4n7Ye2E8LM3Z7uSwKq1yFutdrSB3q1qcmDDR4BQrG8zD7axs4eLbLtbZrRNv+s96zAMt5Ax6yPTeq39CbXe5USqy9Mp8qIkBavWDXEpvJj6qtv2XQNF7TqLdfJkpOABgM9TMxd3rSivF1+gMGAL7ashCx2I6wEMO+tAnQJAxgv93bm/ZQAja+Buy93B/4fzy5eKwZtQm0e7rToxbtyoerXzG1vfhePdb5RVMwJvsayNpj2eRXFVL8yLEllJWd7/xcpnRTpjl42xEcwBn57OF/059/WAUO0B5cWeZqBhA6BkSDgHlh0vTnuY305/lk2/ygOYBBGnO0L3mVXUON+uLcAiXZD9S4xUkbr3NpYOCVUkXcTn7I5JdElUqDKCT4cWNWgIIVSc/Q+Qt5qkdEIpKdmmRQ4BZXH9L9hamzlZJ9SPSHtbi7QMy6ikQwp1mftYaWp/+mBCDoA/Okq0P7uWokVGOjDJJ92P4nZi+xSfad+hSkHIAgqm5/n1oCqKGnb/3aQltc333RT5ofFT6/DAog6Xuq0yO82jBDEUEBKmQTIlky7iTtFJ0xMY4XTQGYqsmb19LkpAQz8yz6FtUWXaMOXR3SiEa07OgJJMimMVjHsAat6LkOgxzDmYLhu3/pp6Y0GH1Ao9HN+tKtLFqTytEUbVQbdxqel7bSdMpUtVOVwUfhhvBe1KKGdylu9snD9PzK72hxtpURcAIFuF/P//4DTU/LN3lzu89w6H1s8U+We+tVU3Di7FlatiuZpidu9gwEVHQRyzD3kPCmdGfbaJ8gQQ6ninHwPI3rdYPN9Alap6HzxltM0lSaA1nrhufkg653K6XVMvMJwH5vi0E28z7x+sRjaADm7PiF4pkZ0MmLfgtivddjMLTwV2gT3IqqlbVrOJzGcQIEaI9ndUz0CE+aLDyjk7cvo0mpKyzAVZwXdBzEmPohjdnvvEI1R8Yev9Xkw1mG38HU1JWW36w4HrQID7ce4OqTIN8fFdCRTYpkcIDv5Pi4182p5fe4mDwUjWR/MzFICOpV/oCyMBDgoH6dl02BIPrJ2/kTU+j8ic/lYuMcgUxKlunBGPRWBkjw11EZAICYidCf53eyv1QGBuItWgp5UmgtYPXQuPk7WmMgE+dvfK6BwSW6eSIwkKMQweYwvNFUQ3IggwIst2P4yxRcpb2xcjDGeEFtzV5kXoms2uQVYFoX7ZxrZt/l5dgDEPQNG1yk0YTE8XEMLcKK9IUWpllsA9+FliyUZ/uQzgVaB0x/UnPWsb/V4rCFOoYkqE3INUzjkGcm4jQYd9oW1c9oK39MUAZp1cdMlS06CiJiySvdx5ofd1lTgH6yra/Kll72K1AxixhrWt9R1L2+PfcF6sB0fbJuqUWKjHJ5gwkHzIQig4INE5GKzEwICbAwZzLTMCTlZFMWMzXakrOPVKZG4njQJIxs3YmiaudJEcU68VgFDlDvlggNpiJ3LvjAJpUsKEDg64H5xUk29q6jmUao1NQjGQxolKNgZhISXL460+pUo4ZV6nhisPiY2GO9b6+bQRMZsyVvTqAAGaMfWz7NIhl3AgW4P5+ui6V3N1rHh6PxhOtutzHW4hpid6Wwd0gyTdi6QSxWHkfXDKYqpe1akd3HDlPq0TwTNGVHVoi+90Z1oB6NIqgCMztSbSqfA7RTRVGStWVop8rnIPsboJ1TGFMxsRbaYYOZ32gWxUoVESevhfU/3gWrM+NoD3uGDp7OpbSj6a5AAcxrOfauaBfc2m8wgJkBbmenLKM5zAGeO1KLK5IFD2KdeIx3z4Rti22/KbENtHN967dxjZgltpePMcdPzBxJBsa8nS+AIN8fgDc5WpEsnJHBwbwdP7JAHL/yKUkMNa0KpS2a7sKkaMGme0yBHgZROSPvTB9NZ87mg398/0OCxzo6JGMcMPDnjr5Of13IizaGMqcNzHuJUpF0RcnaDCwEG83A9P/1V56gEQV/XdjraSw+BwBIqfK3UMmyvY2MzCI/w9tcqn2g1hKocS8Vndzm1cDAjToBrOMPGeIap2U8onREkm0VsRxR6oAX00+b/mvxKXAydYHNpCrSEBjXQZG3FogRLyh5AFBW7lnCzIzWOWoRoLqNCbmaoup0KpD2Ag7DOSf20MET6UyTcMCgEQ936rRuRJjAVq9Kc8P0yKufgpNJlhMokGOM42P0cPT9hQYFMtMISemY5d9bTHCcmEVcNyTIM5I2OAICMI7XMwY+pk4Dalcn1Ga2gTGcNjCjCXvTaeHu7TRrV6LFgVTsA6nvfa0708CI1mKx5VjFBKOBL/MiOZQpHxQA4Zk2g1zzPfC2gdwDEExlviLjty20SV9hSvFSzC1K6bWsDcIa4VMwrtstNodyMNNjlsywmOGg/RM1F7sAAEAASURBVBNtutKD7aFBUfuAzN2+hcXGj3Vk6CHt71m/ITVnJkHRdUNZJDJ3IM3Nj9YyE6RYZnrkBBS4FmF0x65KrZIBfJfMMnMu4FqwAWi+1muI5XpUzuyIdPVsh+st7WTNAcaDf8pT7W9g7fKBDsA7ggJMSl6AJpYNOSm8+o9YOl48QZQhcfPHX0Dsx48BYmemLLU5FvN6CB1GNOtvMVHkdXwP7cDPO9cqn0/eBsz6jWGdqDsLeiDSitcXZA9Nwhw27zzmr8D9QMRx3ACCrDlAPznCki9w4OYrJkcAxPgiOFAJ9mRwAN/C7ANfWMyIMQ58DENqPemoPTCcf8+sNUx8LpxL8Iuxx/j+bAACV1zZhJkrtaErrmppC5nK+Rl/xgxU20CtJVDjBooOhRlXA4PCUK8QffGQpe1JsUQnwHA8dBlAwYqkf9HRU3mOjKgTQQFeSAt2fGYDBTe2/pfF6RYx9H/Y+pVpK4lxsIHxviZsaIGdgPNGKfx/7osQlxXrOBgYbORHaFazTaGiGvEJAKhyTmbwU8NR2Tzx4wC0XbTzZ9rM/CjEDZqP7g2upV6NB4jFhgPih/GfWiKIyBIqSPT+vfJz06cAA8iaAplxAWP7KktkJsayh4T02dUzLeYTTg6oAATvxy9VSvXBmN3VtL1ncx/LBbucgEGdtWMj/cxAQgqTIMsbQMjtke1oUJM2SoYQ7cEQf7RlmeUaUa5i9lCODczNp5t+UUrjuclD7/qtlQx43ghF/x+22Yv3bHJckxNoQUjO+5ljNs9RwFcGSfiDbfpYmF3Ufc60BC/F5WsWUYb7+0nvm9jz2gSnlg3mQpM3xtPHCWscgdyoFm2ZL1IEdW+Un6zRMojHEwCFZTtT6NP1axxBAuZyAgiIqPTs73Mt61RpQFRmRSoQpfLrgO/Ot/0etTG8YLrHb/zR5oMCCXXPulHUpU7rQoW59UhCWzO8S7YeTHX0j+Hr8wUIQItZO9con09MCtB6a1gXur5xB0czIdviClgALcK4jXOUAAHg7cHW/W1rkCO6YWpZM+IGDlTR5USfsYKAg6CKUdQh/DlLRMGDuVPpQO4XNsog10G1qoMcfQ94BzgF/3luC104y3wBfJgA8T6qPUBAiZJ1mDlSW7qiVGMDBPiKfnQ5Mc2BWkugxlXdg0tdpoHBJboDeMgW/96Lzp/PMlcQEvwCVanEyhSgQJQyqMJ2Qto9sPljJijAy2xu0nSb2RBnWjuH9rLZvJsLuXgANTeiaSASRgZTdZ9i5+nH8hlqsT0cKetXqsfU3GWpXiWWsI3t5cgaYnv5GOsFSPg9fYENxIhtubmRryhJYp+iPPal7YCqeWCTmy1aDtDx5+T5liyoWBMikdzS/AbT4Q1hLV+N+9qi4pdBgWzqAGb2h2vGmE6ShgT1d6udOeZS5QDwBQgebt2Vbm/VwcZgYryi3MDUvRW3WAkQMA9Mlu5q1Ulp4gLm+PW1cyx29egDzcjDjEG+vVkX5frdAAL6c5AQE8yY3iKUfmJsaAbWH9hpgIE5TAoqRk5CPd9gwqLyg8A1f7JhIU1IXsubGntc8yfdb7OZiDnRVyVVx0Bg0idtiKdvt260MNp8sr7MYXhY81auZj68bUH267MyaOa2zY7mSpj/0U7dbFoJrFuOWIT5ZdMi/EZkZ3ajXbvr6P42vc0l4xkZvfRzi7kMngsn/xQ4qb+3YZrl98sHAxOOKFRew9zyfv7ukStj9d7NlHBgh0W4II6Dtdwa0ZcGh3d3NHPDM4owo19sW6RkwjEeTIVuYNoBVUhkcb5AHLsBBERku78VHNHztTuqeyP7UqjAwag2dxrfMRU4EJOf7crdQHO2vmm51M4NbqWY0MFGmeqbjnDj7RqOoeoVm5r9EK0o+8AnFtMiVMK8qHrVWxl/0MdRg2AOIhwALPzFNBJ/nsv3OxKqzUMAADD//vok8AEuJ6Y5UGsp7LjLl8dSXFwcbd26lTasZ+/9Q7nUu09fGnbTMBowcCAnpWV/4sQJeuutN2n2rFlG+/bto+nmW4bTrbfeamlX1CcaGBQ1RT2Oh4ds/pJ8KR13Nobqcf3u9y2aAkgXuka+Yowclz6bVqVNtcwiR0RwMhvy5VgM9fWO3BTanptssX+3TObnCWJ1N6seSfUr12XhKsM9gQVfzLe4BGgTGldrSo2qRlDDauE+wY7Y1+sxnND2MkC0bu8KR9ACDczwlv+wmWTBwe2LDV/b7IblxENyDG6sTQQFTkyKCApUphIYR3a0dAMEkLI+HdPb1ZQHY8obpMvJLEQl3yJYKEon23DeRt67rQttEf70seieSj8Ep2sHszyEOSjf1byrzawGY/oCCGiDDQwhoqggvnpktbpGQiYwHm5x1sFcwQwC27r9KZR4KIM2H9rjyGihHQckKsmnEyBAP+R3ePPqWyxO2E70dNISgLEev2aFI0MOif3QZq1sDDnmD8TmS2OBqEZPd+pOA5u2NKcH0y9HWUKl7JjsBKBlOuIejl01yRZ2E/dJpclxMy/iiwRjjhC3bWtEUOMqdZkfSoirCQ/vJ+8BAg6wEKbZJ3MJIXJ9Rc3yEhHLV2QhXPcIJpn3Eh0I68Uzu+/EYeZkvctc/sp9qeaxeFC/QjXms1TNKKrIflvRLOKYr9wqTgAB65QBHDQ7jywdZwFuoMmrXR40fUJkcADfr8eiWY4XFvoV36X3Vr1oibIHQdBNLe4yvjtyfgNcCIKA9G1yryGwU4EDo02tYdQk5GaL9gD5jA7mfmmaGBtEufgPSU8rVujC/jr41CKI/Yr6GCZQMIU+dWozRbUeo52PXQgMIDBoUB7zf8ONN1HHjp0oKyuT5s79mXamptLd94yi//wnj8fjwwAU3DHidlq3Lp5e+PeLFBkZST/99BPN+OlHZXveryj2GhgUBRULMIYIDERQIEYfwrBc5fjnX0QLd3xpc6wVIyE4mQ1Byj6k6Qib2RB3fEvI3lRkQMAXKfCibcBs6uE85wUogClH2NOdh7Y7MuXinAAKuN7G1SLZy7oc1WFajDJXlvVkggSpEGh4mkUJ2XU4mYGBdEdHaT4n5mtfpyt1Du3Ji4w9oo5M2Pidja64/vva3k2ta+WFdVOZDmGA+5sPNmyUcYyP9aMrvrZIlqG+/7zngwZj6sTkyCYSTkwT5vACCCDJ3cFCUm5jf5sP7KP4A9no6rqBCY2qWdto06JmLYph9uftQuq7ggZDYr1lDX2zfZ1SYu20Vlzf5G0rleZFWACYvpvDmUYnLMq2ZgCEhP0sWteejTYm0NbYoQC2zmknDroy/g5dDekrHDVV2gl+XS8l5DtB8nEAfJ5nku7bmnXmRa7O49ASPNflOot5Fu7rxA1x9GNKvgOkORg7cDPh4e32HT1G+44dpb1HjlHm0aPs7wjtOXKUV9v2LWrVorpVKrMoXzWpdqXKVLtyJVsbXgCA8DPzcXAyM1JpEGJZno2HFv9oe35kXwqEdn2N0VVMoqeiKfxTnHw/xjD/FNGMD+sGQIAG0J8wt4icU5ExtNhqM+d1OLFjw1jJzLGdb8dZeE9VsjxeL+4BQqJrRlLXkDaOSfTw7PuKLIT3Da5T9Xzy+fCcLtuzjbYf2ktbcrNofU6mha68nT973Ite7HfbsXaYI1AAeHPzzRnXZaQZwcjpfSuaFsngAOvlmejxffg07g0LOMA34M42DxlaYvi2zdn6liWENvz++jV5wAhgAXCwI+sHSwI0jA/tQav6D5hBRVDm5HuAOr6BdyhfrjWVL9vSL00C7+91f/78QTr3xwEDBJw5m0qnz+6wWDtc22uHBgYuxOTAQAYAvBxd58yZS22j8r9N//73C/T1VxMMUHDfffebo48ceRctXrSQPvvsC0dNg9m4gAcaGBSQcIXtBmCwbOUQ9qNuS8E17qXsI+soYdc7yggGiLP/c+K7Fn8CRB4a1volM1qOnJCFrw/qTtlsiIfKW5ZhjUrC+8h7Hgkj9KKpkFzPz/cwqTo+Yr4ia/D22INRjg6OYpFtIgxmGSZIThskNrsPM8nrgQ2UkptoeTk79XEq5wAi9/RBRwdop77QDiAHQzvmGC1ncgZtkY30xx2zbd37N+pH10dca5oOIVnSl1vnWCRY+JC/3mW0GdZy3LqZ9OE2q3MjGNAPe9xrqMpVCcAwsRxxZcqWtfQasy/PFRJOoZ0Tk406JKmaxUw6VmSkeQIB6ON1E2PYt2Nx7FWZksFozNmxiT7btFJpZoS1ww9BNnfikvVZLGynyPDxtcFJ+faIGEczIzAasQyMFQYk8Lmc9pBoQgPRj/kzDGwUYzF74H34dcgmQ6gHwySbShkAgoWXlf0I0F6lbUGEoa/WxynDjQLQ/bNdR7q9TbQSxAEILE1JodXpe2jJ7jTKPXMG0xRq69eQ+RIxwDC0VQsKr6lOfgYnaKcQqTJAAD2eVzgm47l5pesA068CdH7m9+9p4d68vDL8ImRg7aZd4oyzDBAwFpjRRWnMebYAYW75WvzZA2B0Y0CgU0grUxIu9+fPuFtkITyjCDM6omlPR80Y3j/xLCLWtOQ4m6+LPGdRnOO5d9IAcoDw6kb7u1d0Hsc3SpXhWTQtWrI7lpnSTbMsmWt58R36duMnFkEVhFF3Rz1qaIydvtfXRP6TGlVva4yp+t6jAvmJ2jZ82KI9AFN+IHcSHT+xVKlB4ItEkrSypZtQubJtqEyZRoY2oYxDNmXeR97DlAkbtAAX/jzBNAKpdObMdtd50V4DA1DBecvet4/m/DyHBl0/iIJr5wnKeGvwgtjeenucaSKE9tHR7Yzy+PgES595c+fSAw/cR9A8fPDBh0abov6ngUFRU9TjeHgYMjLzzAx27f+FNu/5xNKTJ0RBjP5VadNsEgieZAsS9TlJUy0vKQwk27pzhjUhe6Nj9k30AwhoWr0JNQkKp4hqjU0mFnX+bvBPSGamSQjFty03yeJ06zQW5gcAAVCoWynE1fQI0ptdh5KZdH9HoYGC03p4OYAETJaaMwfoBlXDeLG5h8nQygyWBGvferOMH+Cabms+zFBHowwmAB9vnG6T+iHU4Uud7zXsfqEleCnue5v0mYdONJhAJh2XpchyZB4n+3InQMDDUc5i0mMZRPDrCcSeAwU4sqo0CriOH1jEJKewp2B8b45sazGBMoAFc8L+bGusJYynuH7kQegX2oJ61G+m9EVAWzCE+04cMs2B9pzItdidi+OpjjkI6MT8FZowM6SIqiE2B0nej6/ZidFSAQJoWOYwR+6PNq2w3TPVfXaLMIT7cHvzNjZAAKl9wp4MWpicTLG7mSbtiHu4UX49Bd1XL1OGhjZtQn0jmI9HuP33Bi3HB6uXK0GNDBCctAcyWFJpD7B++Oc81LavaaaF5+GN+B+VmiXca5jaDGKOuCozM4CE3UeyaOeRTMP8J+lwukUw4C+9AALqMO0Csm7DLAl5MpwS52HdyzI205rsZOXa+dw8spAK5ABEJTCzoAXpW2kJA1Iq4M3H4Xs8s1FBdall9RCqxI7FLTq4ESUxcHGcgXFsGccP0R72Wzty9rRPoIF3XTemSejLfr9i6GUnAId7A/Oie5n/ATaV3wFMi56LHmnQUWUGilwzo9rcwXzpyih9+Lo3uI56s6ATJegvWxhxzAmz3w6hQ40EmU7aA7QDQKgf1NuiQUA5QpsfOfYbHTuxBKd+bYhyJG7nmH+j6OMo1vlzjHGv7vidyc/40zcQbUXeqijHD+S4WKcIADjz3zgsjJYtW265DBE0bE9KpgoVKljqi+JEA4OioGIBxsBDtis9lTbs/oj2HrbeeEQfqlklWmk6hBfL1Y1vY+YuZ2jujh+UEXFEsyH4DazMWMM+CGrtAJfYt63NTHsKCQR8kQGmS8mHmB9DTgqtY4l9DpzK8dXF0Cg0D4qkyOoRPk2PABT2Hc+kw6dzmBYgl+0PGoDpNItC5M8G6U949eZUp2I9alStiRIIYDwAH2gHYhltVUmKQNsbmwyiXg27G9ODKfiMRS9ZnGUFD9AS8ORI+Kipklrho/ZVz9GGShwRh95a/5uN2RWj8cC+XE5exWkAZ0xRym6Y7rg4m/J+2CO+fCtmGtSMhaVEtlpsTqEpwbxh23vsCGUxM5NEZoK0dM9uG/NqNJL+YZ7hjEHt0Tjcok3AdU3ctNoWnpJ351oEOZoRfBAmJDJGUpIK837YQ0J8dZ0wigluzEzdGjoCBbEPjhG1Rd58+R+I7bG2uOyd9PveVEdmSAUIQAun8LKQ+IvO477McZT2+gwMLEtOpd8YGJi+PUlcsuMxpP7YOoeGUqUypQ1ToeNnztL2/fn+J6jnpkYJ+7J9ahs4SOhYP5R6RIRZNBh4xh77bbYykpFoAgXApfI9wFrg3P5Q+57Gc+akPTDaSQAB9/2jTfMc4+wjilGX4CbUq14r05QF48gb3gsHTh4yirnPgNyGn+O5asT8tbD5SpYHCTp3cv89O8kmZOBjYu8WWYg/nz+nbbG9c8QxcIznFKY/zRkIANNfu0JVE1DJbX2d454lMG3EQgZCljO/hJTjuY5dMO9dTTqwkKssrG2FKkY73J8xKyfarlvU7sDv4M24b21CGh5u9jDTAMuR5ERz0FXpS2lW0iTLukR/Mwj2lqZOsNRD29+u7iDTMRlZkhN2j6NTZ/dZ2uEEJkahQddQvaCeVO6qILMeZkbHT6xlfyvp5Kl4nxJ9s2MhDuAAXaZMUypTOoz9NWZ/jdhfA2PEQDHNBVku1vLRzDzNTEH6O/V5eOiGIgc/X3zxOb3yn5dtPgO8HM7JEyd+Y1sSrhGbbH5ka1jAAg0MCki4wnbDjZ3wS3/LywAZjds1epKuvLIWMx16x5LJV3yZ4GX0W+oMmymN6FwMQDAreZ7Nxp2vG07B3ep1od6MaZXNd/iHavPBPNV69qlc2scc3LhtK3ee42PxfUVmBgTJFTZIryC5qlm+mqNjHbQYybmptJ5pMRJzkpTMNR+b7/FS5kAB0Y/8ie8N4AA/AtXmxQ/B63qxxusa9aXO9ToYuQlAz0nbflHGEIeW4KnoOwwaOcXZ56ZDx8+dVZo84KP4Rqehhu08woC+svJXpWQdEtIXmH05kpBhA1PlZluONmDQ+4dFeopNj/ZeNpgorWPx61dnptNG5qvgFMOej6VKdgUw4ysJG+zpb2RaBDEUp5t5Dp+P70WggORtUQwsFHZDDoa9zBkzi/3BCdMNqGAuSEUfaNGdZdSNMoGKL+2JyOj6cuCFdP2eqBhLuNG5WxI9gYHwKlWoe8NQAsPern49Vz8BN7phjckHDlASAw/TNm5mIMndd2VY00i6hmkSRJDgpgURAYIbYBb9D1Thfvk1QMs0sjnLsXLxeQAD+s32Ja5SeAD77sGRRsIvaIxU2gQ+fkH3PHNwHNMI+AICfA6Y2KjC8wIMgCF3Msfj/bHHM3p9g5YGoBYl92KbojjGb3cp82Fw0qbxOcT7A3D0OfMPkc0x0Rbv1eeib6I6DLyoTIu49qAxS1IoJ6RE/5jaUXR36xGUxsxbp2350vY95tqD3JN7aEHSeMv3HP0rl6lFnRrczMBzFyMS4a798yg1+yeLOTHa8Q1ahNpVOlJw1WiLqRHqYW508vQWZvqzkwGFDbaoRnwML3sOAEpdGUxXlQqmcuVa0VVX1nT1YdDAwAtl89pAGzD9x+lmZCI4Ft922+0Wyf+jjz7i6mTMgcHkKVOpW7c8waP3FfhuqYGBbxoFpAVurIhqK5eLoKiGj7GXTLJNwsCdl64sWZ6mb/3a5hALCcXgyNuoac1WzKTGGRAADLRn9vxgWMVQojBtQfbWjQeSaceRPZR50rck3x+icCARwUBDLQYUIPFSSbsKYnqEdeC6GlSub4RLrcfGLsecjf0BDKpr4aFaEaUJvhMHGTjazbKSum1QM19drxN1rBttNHMDBPjoPNLmFiO+uZNkCxLHF6KHGdJGVRIrTMK1BMcZc+XEKIsmE2DClu1Kdk1WdVN4U+rEnIRlaT2/ds7I4RzM3DEmEVZtdStXpjpV8pxKo+rlAUZVOxEoODnA8n5YWz9mbiRmxIWpyITNq5VgCP0gPUcuhiEsJwIHRSj3h/lBe2xgghqwyClOZhGc6c9rnfc/kTlipjETCTnfgNhGPAbQgx31DeHtTeYT0tPJzH9gclKC0t+CX+OIlh3zJN8+IgzJ5jbwGfgufh19s3GTqwSfM+W+gEDK/oN0/Mw58bIsx7WrVHQEEtx/Yf6OZFrA/Bfctn+0bU13Rbc3fRK8AgQnEztR04J5/XFmh7YPCcCmpq60SalV14Dfd/0K1Y1IV+1rWfNAADiI4TbRH4w/GF1se5mGYS8zaUOkq2OszCk7sNFY+Adp+dUMoAAMRNVsbM4hSud9gQFuwtOxNjRr0ArkSej5NBiLZz4/znyaVu7dnWcadDDPdJa3U+0RPYpny65fsQp1DGlITaoHW3636MdBwvz0LY7gGsD+vhbdDIGJk3kRxuJhgRNzdtrCRaOeaw+WMr8D2XeMaw+asKhFTuHBh7e8l2mewwjag4TMORazYIwvAgScZ+TEUnrOIso5btUso45v4BdCg/oykBBj0STwer7nkYP4udu+fNnmbtVmHSIn/sGcqHOOb2WCzQN08mw23dpnQpFL080J/TyQeSs/uzs2h8bAbeOm4W5tUAeH43gWaSgzM9MIQ4qyh/75T1I5GAM0iOVoi40DA6f6vFYF/6+BQcFpV6ie4sOLHAURdW5hgGCyLeoQNx1aybQEqszFPJayL0BwAzNp4Qwrj5ixkYW4W5q5vlA2roUhAqTlAAvQLtQsV80GFiChzziW5ZfpkbweMOvYmjJTJLdNzNFw8BRz9vJg5oTx4D/QLriNqR1AGYDWjJQlNpMh1AEkIYY4sqI6mSJAushDIULC/NKa2TamEh+9lzoOZuZftQ2GUeVwCrOa93vfaIT39GUu5GRbvj4jg+LSM/wy/cB1Om2QMjesWsUwNeHAQQYN0GQgjr0vPweAhBtZ+EyeXMu4RpdoRlgTaILszb0bRlrCnoLOCKnoRYrvdG2FKUfEpC5G5JVGJhjAeAA9btmiuQ9BD5agDFmL4SPyE6OdE8ASpecYH9qBHzZvdmXAORgQJfToe4IBwuT9ObQj+wBt23fQiEK0aOceVHnewqpWpgbVKlOL2jUN06PoBvUoolYQVWBmSNgMIOvBnAkmTKNiok1/hKkb19Frq1jyO8nZHoz/nS3a0Ii20VSxdGnjt6PyzVABhMnMwVZlzsK1Oj2ZnwpnksHEw57/VxblKuGQu0CBXWbANq6p6Mj8W9ox8CFqKuA4vIRJ4L0883g+rw1tqYwMBC1l/N402pazj5Zn7VIC16K4QAg4WgbVtmVeB0iYk5rgGo3ssbb9jN8V3rmvxE+33RMAJmQWb1erMY2Ln2R7d3PtAUCLbFqEa4P2YHjzm5iQJJdpD/5nC2jBff5KlviLYndOsn3nMYYMEE6dy6Fd2XMZSJjvqEVAP1gaVC4XTjUqtWIgoSYzP6ppyY2ANv5snPEH03/q3AE6/8dJOnJqJ1vDCUsYdXHMQJjZiOP7cyzyVv7089U2ENeYwgI43HTjDUaOAlH671VjoE2JfN21v1k9Ht6pi0Yx1N+HzpeoRL8lfWyRJMB0qGfYPVTmqlrKFw2cYW9ucQ9T8ZVjjoe/KH0IIEnngADS6zUs8c3vWZt8xrsGKbmUX2UepCK1bHaENr7iaqvG4WChVY1wW3xvbsqTlJNsJFrzJcFXjV/YMkiIVFGUYKuKyCPLmP+ASuPCAQGSCiWzcH5OtslIGvQsU2//9VcJR7MhHp7SSerJmcWBEa19mgtxMx0eCz6FmXTEMydTL9LawtJS7A/GDnbpMaH1SAQKXpyhwcQNYSBBzMDry9wGcxv9GEjo27ApizAVaprqoE4ECl4cIdHH6wZGsg2zweZ22NwkBf0hbV3GwMCCXdsd/SjQDkzSKJb0DWZSAERztm2hyYkblWZZIjOM6E9etAO4Hze3YkkTW+ZJEQECEtKzKC4tg7buO8Ceq/10yEFThPUVdouuU4taMrDQoWE9atcgxNQuxKYw86tk5jy7fYdSswHg+Uz3boaZEdbglrmZgyQOEFTgWgQIAF5O/j38egHYh7OIVyJIgJQfUa78MfHh4/m75xqBpszJXQUEEEFoDTNh8+I47OSYD3Os+Kw0QxPgFAzA33UXpD1+A13qNGQ+XJGmRsHt/uB393TUNYYGAdnj32QZlOXkgjAveq3LHZR+NEupPUDkotFtb6Ilu5bZElZyE9Iu9WJo1Z4lDNT/arks+K51b3CtESUQ5kVr0n6ijCObLW1wAoAQFtSBmta62ow6CC0CJPR7D//uChJsg2E8pl0oVdLdQdWN6VeNKZcFgmmW5/B6Dt7Kq/Te65hoF6hx33nnbfrg/fcIyctmzsqLqKV9DPy5M/+H2uIhS01jHzlFbgKYDnUPu5uW7l5kcy4GCaAl6FS/F32fOMMRENzbZqRhTuMmvRbJiegW7Wo2uRjZIszRL0Ds4+VY9FdIZbG49zJfBa8xuDE+JDVNqtQ3fBfywEIdS9QNmB9lMq1CDjP1QWK2UywHQVECBmgcECUJCdrkKEkAA6uzNruGIcT6RzUfZJgMuQECLrEKZ9oTVVZb0AIf6uc6DDIYwZdW/ELxkmpeZGKSDx50jNqCscAU8WRVvpgttFdtMcHBLHZ3GbMKoSYrsWgy2Fal50lJvTiXmgMIB2BMr20SQT3DmfPxxRj3vqTh6G4w+wwk3MkkwuEsyRqY5qVpSY4hT4UpDWYbjEZkULANKKAdJKzHGePuJVkT2osJm0KYHTNsmUUQgDaGCcfedIpjEtctTOLqi9ES/Qd80QO0EEOO+tIOwMn3rjat6Q5mmgOaA0AsS2KZdHdn0E+J1lCeWLuvrRqT+keF5PmzpB06SqmHj/rq4lgPzcLA5uE0pE0zCq9Vw9AkzNmylT5dw6T4ighJuJaHO3agwS1bsAgwTDOwMZ4+Tlhj0yBgQg4QcOxkjme0E5yUYYbmy5ndSQuEsSC5hjlQ0qFMwxzIKGOaBZlRRblqgxlSFaZZRKSrOswcqQ4z0ZTNjwBuEfHHKxDAPCowUFAgAMa9CgNTzZmUH7+piux5FDf47cC0DxoH/K7ELSkn2y8NBJ510VwQ1/7+hgVKMyMOEHrUb0pvr5tBE1PtgTlgXjSYRZb6bJM6WMTjbYdTPZaQ7cuNE23aZQjkbm9xC1Vm16fSHngFCKAHeIHmwT1YmNMoI5IRyhDqdN/htXTw+AaLjyLqimvjWooq5RpTKSbE7BPzaECY8YJcT6AY+ECNK+Yy4ICGRyUSwQKnhY5KxCnxf3CPh+z576+zaAlwmYhWUIWpBX/c9q3NmSkmpDt1De1D6/YxFfWuhTZnXa4haMmSZyG5zoTEOUrpNScnpB9IfNOhTgsLs42P1o7DmUYIuUxmx5rB/rC52bFC0oIN4eiQHRYbQjNC4yB/sFAHwAItQ0HAAkBMRNV6RgIgFVjA+NAu5LKsoLks5jRAg7iJZkNwkK7PGH9xC2KJhWQQgHoAgS1szfDFiD+Q5GqChTXeHNHbSCqE7Jw/pa5W0g+AAImDomqGOwICfMje7zac6K8r6P34pUrmkTOM+44dcwQEnFEc1KwlnTh9lmZu3ko/J7FQrwrGSqQHAEDXBogyU8aQ6PtKSCX25cfcL4FHqEncv5/SDx/x6WiK/ph/eJtWFM0cXBHfnvtJLNiZ7Ggyg34wj7qeOU4PYeZGAAnc5GFaErPxlEAV2ssbNC/dQhqxbKxVTcYmgjEykBwXZAODBZtrMD0Zxw97NruAE3W/Rk0J5kLwJXHTDmBd8B8Y1ryV4YcBevvyHYCp0E2tWhpmOPANWJeWSd+vT2TmIfs9XWafxsy/p0plqlu1EsEUqGKZqwzm3Vfn9UwDgfUlMVMk+KlAE+HFFEkGCb4AD/dDqM18XooCIIDh5aFxARZnMTMWLxF7RKBQmGg9Ml0Nm362DoCAbcyfZTP78+rPIjrYc8dhDqbXZO2mJVk7lWBKXgP/rTRjICC6TgNTgi+3wzl8ivAcy5tTdDPuswAtRSIDz9N3JcpdLefwU7ivdWfj94KoRk4ADu/VVzoOoUqlr1JGL4IZ1qsxwymU+RS9Hj/R9i2Fdnt0m5socb/6ewyh0ogWw2j7gfVMezDf9j0HQLiGCfmiQjqSmwaBXxxAQlhQDIVUiaSQyk2MYpgbHTuVxkx8drO/XYa9/9FTybxLofZIroqNM/+VyzVkmofySjOlQDHNBbmAQK2lMOMiKVla2m6SQ4/i+jgIqFatOm3avMW4ZJH5F8OYiu2dIhYZAxTyn/YxKCQBC9odD9mYyd3M7lAf9ggfRSv3rLJpCXj4MzhQzdgxxyah4CrMnizC0OyUWJqavFDJtMKcZVDDrgRmGmAAG0DAuv0saRhzYtt8aI8npzlz0X4eADxw4ABnOxkwiGDBF+MtT81Nn+CzAGbfn7B+8lhYBw8bCOBynIVZ9WIWBe3AgAZdqE+DDswBuoyRjdPJEZEDgu51Wzo6OPJoQ01YFBO3SEOPRfck+vMKR0DAzYXgsIvwk2/GLncFAxwIdAitb0SbqcBssbFxm3LOzKEs8/Ax9wy3F23H0TaEMY9wRo4KDcGpsYHJR3z8tel7aEUak5z7iEgDU5HrI5uYSbA4SPhy/VrXJGzchwKgyDCnYZqEhH1pPk12Li7TtgNzKG5cMooyOFuK2/qDWZ6YK7GPCAaImZXBYdwpsRf6AfRx23lcny9mGXS8nWkHIFHHNmnNBprLtAK+pPo3Mql9c3ZPAQBUDsQb0vIdTPcdPs5MH44Z48v/6jAQUbtqRaO4bYO80Hu8DQcn0FRs2nvAdU0ACbe1a0GDmCYBmZdnsA/r/zZs4kNZ9tBCwQ8BjtNuAAG+KyPbxrCMzJVokovPCpdSc4dvSKlnpKzzFMmHLwyMOezW4V8iblzDhDJI05OY+SHf4GyMzMIFMXEDM4zY/3Ac5rk7AATwWwAQ8OojAOb7agaaYxgIEM3wMFbyQRZhioUmzmT3Yw/LgG2s00OWdH592OOdBbogW3rdSlWM0Mi4HzwRIkD24t1JzDR2lyPIx/0ZwkA1QtHuY9oZJw0CABt8EJJZ4A2VeRG0M0+1HURbc3bQpOQF4jKN48Hsm3pzRC+akzxXmccGiS37NupOi3ey+qxYW38U5An9erNvVxnamPUb80FYa4tiJHcMC+pE9ao0YyAh0jQ54m24nwA/xx7g4fyFk2KReRxUMe89ULZ0DUdnZiRuO3Y2h3JO7GFAnvnhnUhj+/3GOsfdvlxrDExq2g94tmLZJ+DEiRN0x4jbaR1zRpazIvPMxwAAH3/8iRm1iI+lMx/b6XxJSrjdFybnKp+CLkQEBlxLMC/lJ5vTEkKeNajajL7ZMtUGCDD3TU0GU6vg1vRj8hJHR2JReg1wkbCfmTAxp7hYFtvaq+q6oNfpqx8Y5FbV6puROUSwADOkrQdTjWRAyYxB98Kc+5qP13MgUdgxuQkWwEDDynUIickW79mkVE9jbg4IoCGYtG0FfbNjrS1JEAABstr2rt+SxexfRRO2J/Blm3tI6JC9tSIDe06JnsAMv3/NYOYQWZlmM7OLj9awuRwy1HKpPDfdgRlJQloWrWXM2RYmyfUqPTYX6OOAm5nA6bRpcE1qEhxkmoh4TaQF5hbhMnkSLDAly3ay0IHM1j7ehREB09G1XgOKYZGXkEyNmENgAjPngSQfTL0vcx4fl+Z3NRiYqBohhr10dEgD01ncy7Vw7QB8ROAfAi2QW2QhUTswdxPzY9iw1VVKj/s0pHkE9WkaRu0YoINTcGp2DjNlOE479uXQ9r0HaXPmQZZoUA0A/CFGVN0aVL9aJYppxJLA1QkiDhgAFGZt3OYTuAC03Ni2BUWwZ8lNS8L9ENozcDObOWo7mRhxQN2ePSezd2xwjAiFawSjPDwyypSWAyQs3pPompvCH9oUtC2ARyvmzyJGEOLma3BqLwwQEEHAqox0ljNhn98A2N/rwm+lZ/2GlqhpWAcS/DlF7MIcANojW3div/U/HQECzKgeiepH321frHx/I7TrzRGd6KMNP9jMYbkPWTQTeE1JnG4zZ+XCu/a1W9GK9EWOAAEhx7uG9jUiDOacyGD5P373BBJwjdAowDexXpU8vyBoFuSNaxrEcs7wo+wsy/kDxh8bmP+jZ6DNy2P+jUKHfxoYOBDmYjFn5qEV6NGzJ/Xr28+o+d//vjRAAUyGvps02WT+USmCBvT76OOP6aeffnINY3pxukLvtMbAIwnhPd6rZ3682KIABlNi36GaFcMZ05Vg0xLAuRhqxsXpq5RSCKRn71y/M83dtUoZHx+XBUlGv9COFMQi/iCMnj8RMkTpPsbiZkE4dtqgecDGzY+OnDtli/7g1FcsdwMLMOfhmUOLGiyIa3A6hlagBzPBgtYFIVf/+otFjrnoWDhnz3pHoAV6jmzWi2ozM6VvElfQhOS1tik4IBgc1o5mJ21imY8X2dpwx2LYFLsBgqc7dWe2x1VcJahgkB7syBwlmR0/HDCX7dhlAIHlu/a4SmltiyqiAg4WOjOHU0ikoVngzK4vkyeeBAsgARJhSFl9mdzwZYMB5LkaIpjJETQk3Owo6/gRw/bfkHp6MD/iYzrtcf8aVKpmgADYXHOzC0NzkrWH4lhuh59Tk5ROxHxMMEdcOwA7bdjau8X/F7UD0Pp8u3oDzUpMdnQelk11AAQSdu2luF2ZNGvzTr6MYtn3DK9LHRvXpR7NGlIYY/i9gASuRRjMtAhL2Hvblx9CH+bLksRMVN5aHaukuyF5ZlqE0R27sjCc2fQTy8DtZs7CzWq4UzsIBZMWJLGDpH99TqZNGFAUxOQgoBkDApEsWhn3Z+FAAH4sbhJ2cQ38GhAulEe8AgOe8P/Yew/4LKptfXide+//nONRREV6L4HQS+ggoRcJARGRLkqxYlcs2BFsWEBBqnQQEASCEmqCdEjoLYHQq1LFczznnnvut54Ja7Jnv3vmnTfJS3Lul/37JdP27L1nz7wz61nrWWtx/pEt/Jd48qhxrtQ2/Kzjt+cF4oO1AeVHNFPnJPAALAluSf/QltCMirH1wc2C8HZUB2pYrBx9sXNpAP0T9CJkTy6fvwB9tmNugGUe3weEof7t7xfpO7bu64kvdYCw5/y2AIoRxgmaUfXC9ahqoVoWSDh99RCdvsLvhV+2sqb+5v4GMZ5gJQ8YeM8QhPzEhARasXIFXb3q9LVq1649derUyQEKpDWcN3v2LNq4caPsoge6PUAdY2Ls7XCs5AEDn7N6X5fOFrKT6tkBDL7dMMuYqAxWglv+WND4YgFvsV251rTlnNmsKZoLRL9JYprQQua2L2KB1avAVIoMnZHsE6An3xH+qpyvOl7KPixV07d8kOQ4rBRnOc29+C1s4gQ8Xv4Kcp66BFgoc1tBy9kOIKXoDWc71FEdnLG9g8Owohy8fDzgxW0d8PEPloBitxawnJ6L8BLhVMtyohvQlCQUYbDrwEcklqMMPV7zXjrEAoUb1xXDQT6Cp2q3sQCBKXxiqIDg83XrXUNQgnPdlTnlFQsWssDAigMc4jIE51JEjMl/y5/sEJMynUIVwjZCWEp+A6EbXWW/hlAsDwAKLZi/3rZyBDWvVM6iiqxmKtQP7BcRjHKkhtiEQPM9a4aDCdxyHRBWkN25QQmmUvGf0BdwHG0hPCKK+AtYG4Z/EPzhdIkijpZSDSFZkREaQtZu1rQGE45EUyrhWUEVCpaRWKwDUZxDYumu/Z5+AyoYABd/x9HTtGZfGq0/fCpT1gBo//GMoJRk2lBxtgTAuoBnQMpOtjRcVrZlv9uyHLfRtEIJalm1HN1TuawNEqZv3+MKch6Jqk79GtWmQ2xN8QrLKn4Ih9gR1g0gYFxiocFzAS216beqjx/CaMeyVUisQXIcVgU97wVyXly5katA6qnLO+DDxYI/SuRdxaznCiGLxe9F5ePDj2U3Ax4//jQW+GGtuuojkFkggLbq8O+nccnS1jjrscUFRaUCWTsM/8T/wPptKXSklQxEghUBcAg8gL6Q98Pt/sj7FP4wb2z+PiAMrShpKt9dmBU03wZQbPE9er9BT7YMnKDx+xYHDA3+B0NqP0CbT24OiF6EygIQEMHowIVdtO54fABbQBpVQULZuyLoD/S/BKCQ9gvnNPllU4CfopwXriUsE4VuK8s+ZwWZwlSKrRR/oYZVW2SZRZFd482KL4DXGMLVrlefOXUsDxj4mPk5c+bQyy+9QEgmgfTVKNkBDHpO7uDoHVaC5mU7UvzR9QEZi+FYjEhD21grb/IhEEDQqHhNWnV8l2eSHRFY63NEi+gS1Sw+PpzoDvHfAeayQqsVLCOrY+AuG8KflWRQ9axkOHc6Yn2nXD5tR+YIFSygW2jiS3JUjhL8B7+FohwpositdzpGJMDBsdOwYUq6BhAAfuqhG9FD/NCvEHK0Tala1ni2nU2jj5LjAz486F4+Pq1LV2M6x0HjRwwfuyE1OTsph9SclryNJu/dETByaM1gIaB//oer8KNGnAFFyA8YEMG8EWvwKzHdR40vf+7Kr3SW//QCigmK8Mfx4YWmVy3Q+iL51TYOfQnQ4NdCASfX9kxpaR6Zzu9fy9pgL0259AluuUQ4uv7fv9MadloG9cGPsCFtYI7Lsra/FC9L3J6fivNfMeY+6wUWhxR2rlTLNrYCXGOn470XztPRa5d9a1rRJ5ynQXlCrgZYT6ZxEjK3UJ3oU7UC4f4s2rGPpiTtUYfjWBf6TVTpErTuANNf9nGCRB9WAQjppQvcbmnzxV9AqD+ODnxsXOdnIfUGPekgg4dNR05RMoMGr3Ing45O1cvbICEYLQrPzgNMMyp2122eVjTxQ8j3lz9ZuTRMvzeMC79LRHyCzwqAIvjuS9kpNpXvb7ACoAD+PGLy384WH4nYU6dougAd7Hwc1x3ZT7BlKxRfFoy/ZfHyVgIxsVplBgigHQEBkQULW8oGAdKgI8LvQwIOyHVJxDLZliXCFaPczgqByMKFrHU10IFY1Vbx7zeYxQK/ncfrNLSSNMJ/4qOtq433Br5C8NHaxvTaMXs474UGyuCT8VrdezkAx1kavjMQAOBdP6haa/ouZVVA7gNcAJKjdSjbkFalrTFGEARAiGbrf+tyzTkYQwptP70+IIEp2lEL6Ebl74qkKmxNKJIvHSQCKAgNCNz/v3PuASmmkKhyTF2ChgShHyV9vYy1LpQklYb0+z//Rud+Pc3A/iL//UIPRQ/KskxkdZYN/8IlwIer3Wy45GxvIg8YBJlSeIe3a9eWOnfpQvd1uY9iY9NNONkJDKARaFyyNZ3963XjywN+BH/5UwFjlCEVEEzdt8bIjcQlAgz0YY5kLIdgA49fsr6u45jWpqQ9QaYly4fF7F2SIz6ogAGCeFbBglxvbbaEoCBKEpye/RShQR27/nOAlsjrfAEDAFpJ547RyuN7XZ0Q8bFBPO26DJRAGTJptUIFBG4OxcKnjixSmBZxpBkv7SquD4IigEDdMiUszj9oJClnL1pOpND4nmAueTChzW2eRJisUqwgFWctMnjkcGAtwn8QIlK4L4mTHyw6jWi4W0VWsDjlcKoOpkHHuMSXQiIcQXMPwT1UoOB2jVndD400NK0tObszIikhlCwcs72oVEKjQgbg21hQW8J8/NlJe13pYJi7x5pEWQBrR9pZX2BA1dbXLgtfgz/SeQaBR07/TKmnf6Fth07al77+YMa6vdOwkp+F7+qlChGE8MiShagog40id+WjGuWLs6N7OlhISjtN8XuPeD5zKkioUKwAjV272ZUqJTSjVgwwF3JiNzd/DPndiB+CW44IXBYsTD2q1rKEUGwjPO5y5u9nxVfFErjZ7wQlK+1YDdz4ByG4PSsYsgoEwPFH9nGxpgkAUBMhBstYrY7Lzzp+t6U5MWJVDoksuU4AZOCHs4l/v24J/dC2hGam/2D/gm3mqG6Ym8G1m9Cms4foUwYIeoH/wYDqzZhetCTA2i30oloFS7HiZomr/0GzEqy0cwEI6A9J0pqUbMThsYvRfrYibD+znh24j+lDCdiGQhEBSorlK0l33nI3/xWwAMOf/8vfN09vUIR+7D9z7ST9zn4HZ349SX/779+s8fyNt/UyZ8CPecBAn5R/4+08YBDk5sFpBHFmN2zcRKkpKdkKDB6Zdj9rH8tQ+bvrMG0oLoCPCNpQvWINaG7K2oCXDYb9aNXO7PBair5N3eBKF4JG/f4KnAiJo98kcJbLFSyw+kluo08LtNt17i6h73ZsZ5U7K30gQgfM5DCRI5OoqrUHfSdUod0xyGzaEPpVvSIRVOnOEgTLwOazrG09tjtA6yRdIvpF9wiOisLZNYPFS29WohLN2pVs1GqLhSAfv/iHxa80RhgSwSYf37cpm5I8HUwBBoSuk3ruIvPJT1u0j8TUUyFRPeQ6Q11CsItmLnllBgxR5YpbTqfgwsPnAZaNtZxN1yuZlsNBlpNhASRsPnHcU7OOMYpA3bBUaSshluVbwNr+7UzvgbCxkyk+hzmqSrgK7iP40VVY01qXqSkAAlaUpRsgZ83RY67O4hiTTZeKqGDN1aSNSa5ULZmj+2pX5fCMf6IlSQdp9tb9nve3S43yliNwNPP7Ad52HzlNOw5zKEwGAXtOXOAoJxm0oOyeoxoMGCrzX0WmJNWqUJxuZfCQuP8oLdi+3xdI6HNPLQaZJ+jrDUlGgCTz8VCTOpzZ+3hQPwREb0phmpFXVmnMgQoSoDmHZj8nkoFB0C2V7w6LGgSLBKwRoOnIs732xFFfjsIAKOLsi2cU1yRRxPZyyOHsBgChPEew7khSxKIc7QwgYVzyZtffrNDAEBnNCyD0qVaX4o4m03x+l+sF/gfV2OLzxpbZAYojAASEN/2ff/2VJjJAuMY5ddQiSry6TNvdyNEHE04G5k9AfVgRkESzdbkWdBtHKTp6maMGXtgR4Ieotu21DhkDykevcvFvP7tSmbzOk2N5wEBm4v/GMg8YeNzHdesSqXevniSpqk2JKDxO9zwEs9RPezbQ/INLA2hDeDHEVOjAYOC80bEY+QfuKV6XZhz6KUB7gU7FOtC7cnOL2w7ttcnZVR8gNNlqRtbMxtoWvwQJs3fy10t0gn0MMgMc3MACsokCMMBv4TS3jXCrO0JIEKRfu9e2+DfA8gAgUKdQeXZu5TCb51hw5bk1fUDU9uA/0DWirmceAtRHLgI/gABOxW4+BPhYPtusKZ25dJ0+Xr3BKBShL6GQgCKUzEDAL4UE56pFrADqPqwfv3gtU9x0aQcc9UbsdBobFWlRkRIZJMCaECykpgh8iKITzX4JoSRvg1ayRtHCVIW1kqAySAZmWBVQYFlAgXVBilcoRgj+oB+hCAUJdItiTEMCCECxoj9xuFYAmd1nzwf1nVCpQrCwfMdRhbz8Q+APMrBxFFuASlr3+ZufdngK1gADraqWp2bM4U9ja4AAAb9WAOuiwvCv9N35qWFkSYquUY5qsJ+BH9oTrqVP01oWjcsLHINm9EijKCtvix8/hNsYyM7csY2m793pKVwDJDTl6FeV+Z6Ldl2lAF1jB3kktcusYzt48nBkF0oSfBigSIHwDoAJShue2X3M1c8OIOAnnLDp1uOdhKImQMS2UIYOnk/3R7rGEdMANlCOco6TYPlVrIo3/gnIh+9UPr4/0/n+fJ96wHh/bMXKLexfsH6ZkWKEKEYxFavS8O1xARZ1fJPerteRLv/jipFehO/Fq1H30bErx43hTTFkBAaJKdeY79EhY04iuTZQiOsySGhcsgErEYuxP8JuSmPK0ZFLB3xZE6SdcC1Ba7rl/91Kr8a8m2cxCNck50C7ecDAZdLhDd6kcSOqXacOTZ06zaqVGWAAAOBWWo3rHHAIMY//87/y0dQDPwZoHODQ1KlcMz62zggI8ELqWaEJ1S8caQmsplCYaofQYLcvXZ2F3bIUwdp5FHy4JOskeKsooXy4hD8LbRUSQ4kDpnyw0B6c7pCMBwJ9ZqJ0qGBBnJ5VBzzkZkBBZtEzN5KzATgg/rdbET8FOa47OIsPBqwCfuhXkkEUdKE1Rw+5Zt6FRg4ZO2uyGTqYhSAYIBjcoAHtO32Bvly/3ahhFxpFa3bmPcT0D79gAMJ/DRbUodEXPnkE+w2ATuKnCC0ESdUQ4vI005FOsm/BWrZI+ClCFanHQAEC61mO6rCGM/L+uP+wq4Yc7eogwW+EI3VMKoVBBBlEcEKiNb/FEtLYP0C41iIA+c0KDcEKPhKgPyGnQbCoQrjufnWrW1mCr//tv2nJ9gO0dM8RV+uAgIG6nE9gJ1sE1u46TD8mH/Z1eUIHqlepJEFgjiie4U8CSpBbOXLmF/qNnwfQkPBcwApxjS0Qu9kSEaygz/Z1InyDBIDMh++pTbXLFQ1KM3qpVRO649Y/0fJDB13zIQg4i2UrQhJHkgLn3U0IVa9FtO9VGSiIj4rukGvKAqy2YfJDUIErQEAoli6T1Uroa6EAAQjmUUWLWMJ/Cc5XAmBdkX8jkgNF/IrkWs5cucZRdq7KJkWyggIZqlH0PCcp/NtB/VP8u4d/QjArBe4PcnQEizalAoTJuzcZKVvP12pK/HOnCRxaWvc/AB12SK0WtJ6TiZqyJ8Na37fSPRwMY79RwYdrlciB1//OirNzO40RCFEPBSChSoFI9kmpSBULVGD60J107PJh/l2n8/xB97nEmn8/9KP0Fr3/w8pgWRtY8AdN6c+8XexGMtAyd2bk3Ui9eIRa1rwnDxh4T+e/1dE8YOByu5BcYvH331N8/AoqUjRdaM4MMHBpngAYVGBQNn9pal+hPXMl1wXE60cItEHVunCegoPGFxAAAbLnFuUXh1sINowDAnVLBgNt2dkVyW2QfRJ82P2stfIbvcLtevzuB3Aow4ChKjJksoZLMsnCgS+FwQIS+Wxgv4fMWBcwBoAdFEkYJMDB2sn/rOgwN0CQ7ANQUQtAy68MIjAOCxRd9CfAChjA3IJ24BU2D9q+3pFRPA8laOL2zZ6UoawCAnG8rMsOpuNXbaXpTCHxKggRCT+AekzriSh6t00jwTnQIKOonHI3WokIjdYJ/E8VHsuzf8GtLEjCiTmVwcI2tlr4cTpFWxD0utWtQqC4/C9yEPhwplZBAuLx49kHJQJ+CcEoOzJ+ryUAxB23ZGREDia8eLUl2k+hOJ1loShYHH/1+ioVLmjRbiat2+FqtQHYe7B+FYqpE0lp7Oi7dPN+X2CgKWvtcR8BAMoXL0iFOUkZBPy0U79Yl7TzUPpvJeX4zyzo/268zNv/8meqWLqgdawIOzAXuft261koVyIdVICyBMCQwuM6wEDBCyyoIKEcPxdxyQfp68QdRhBkX3NUZVp7MNWTZvRU07rsWF2S4jkClpsfAi5AIj9FM50rMS3VV7hZ06TAugCHZBSxLqn1JFmY7POyVEkd01KAgBpxK/kk54g5ftKX0C1tAqwKjUcAgCRAlKACJ1jwTz593qikkHa8lnim6xTnCGi8RFI9gIdiTGmL4Ofb75gxzu41alC+W/9IU5K3er5n6T//ZXRSBqD7JDqW1p89aLS845vTr3JDmp2SaFTYwf/smdoxtOk0BwVJMScfhdKvQ5lGVKtQBdp5bjf9dHJTQC4Efa5UoFDglrs423S647DUA2iQIuBBtmVZlAX+W5ihIOWOP9/F77G7ZNNeQvhHOXQxlf7KCT+Ps+/BsavHbfrz6scX5wEDe7b+/VfygIHhHkrOAiSd6HDvvXaNU6dO0TdTJlvbiFCEUrxY8UzFlBVgILShy//4pzHs2cOR99Jf/4do4sGEgBj5AARv13+QbuNoAl6AQLjt0F4f+uU8hZLYxrrIMP+DkFzr7mI4rTTMAABAAElEQVRhAwvhGr6eRRTOcN9zCEOv6CQARoNrNuZQqP7yEHhRhoJZCBCqEZzy3/76D5q2fqenhl60xtDI80uBdrFwlpx6mrayJtdLMMvq3ELQhONpnYjiVJM1zAALyJ7rx+kUfasgARYM8UvwotfgPN3JGoIGKA37mcrgh9KDNrKrQMNZi7WtjUqXsqwCsEYkH2d618HDQalTqn/IjqNn6PukA55RhfoxGIitW5mK5c9H8xN20sodh+n4LxmaW/2aBAjUZp4/LAAAAEdO/kznmCq2/cBJ2n+UfQ1+yz5fg1KF8lP9qgw8ShWkmhVLEMACnJzX70mjxRv3eT6LoBt1bVKV2tevzGDxDH0Wv9kVGGEeHm1dn7YfP+WZ5A2/oW5RVWnf+XOufgiYMwFzkmxP5fOHosHX5z+r2+DVI3uwJPODBt+vUK32rQIBUOwAApL4GT3IYYk3chLEY5euutIW1XayY11AcAMOkoAwxhy/0/IrmrBlqysVT6w8VZla9+nGRFeA8F7zdpZyyhQQAn4bj7GD8td71xij9oEyGl0ygsbtXW7M34MEaf2rtvQECFACdizThJAw87/4ujae3ELrTm4wJjc1zSXkiTKsZCzIDsh3c84ctZTMX4L+4uKQDIFfygkW+n9j4R9l3y8HZLfnMg8YeE7Pv93BPGBguGUABu+/PzzgyNUrV+xcBkhTjVKtWjV68cWXAuoG2wFgMH/zYvoX/Rd9tXshnfotXeMm50GD0IJ5hZ/sjDM6OQ21LASFXGPjQ2jtXbE+xXKyrBQGA8GS8ki/WOIFKLzV4hySsRjTglD0WOzWzhv/IBRLfHc426HsA3+WebSZiaqhgwUxoauWhX0cVvUY+y9s86nRtwaVhX+wuHTh6BRqFlGY/oOBAWicujBn9aEajawwnX4Sk7kBAnzghkY3YzrOr66UIQgzT7RoSIg44yYcCT0HMeERZeY803t+3HIg7EAg2PTD6bQ+a6QFKPz6939QMgu8oD0Fc4bOLEgAxapZuVIEQUMyMGOcAhaQj2EfA4arzIH2S/8xXadYFYRrXfkG3aJo/tvTfQ1uZJr2Sj6GduE38GCdqlZUoT8wtWj2hl2ejsRCpRGq0JJN+8jLZ6BDnQrUomYFalKtLFsD/kG72Aqwg/9Wbk3NVhBgmiPTvkbVWACM4vHU4oSCLCztYqtVMLoTrqFni9r0P//5B5rJoNgtBCusY0+2aWBZnrxCu4ofQrE7bwsaMhYgoWVZTlB5I9medX/5/YjkYKc5fKf4qIQSLtc0L+o+WALgzwIQAJ+GSvwnfizZCQTg57MhjSN5nUn3BVDH4Gcdv7Uyd+U3Vg0Wicx4Eu/E76FJuZLUp2FtqwqyXrtF8cK9eYhpRrVKFqNZe5KMAAFg6vkm0bT59BFjksm367emqmwhfG3jwgD/AwwADsp3s1XsKwYIR647v+s4LgDh6JVTxkiDqIOCXDrdK7aiBsWqsQXsMluhU+ngxRT+rh60NfXpNXP+fx4wyPl7kJ0jyAMGIcxmdlOJBs17JyD2MSIX9IvswM66v9Lo/Ssco5OwaFXuKkPj97DW40wGypeKEgoTkW+CpYnHORDAmxUvZ8WzrlSgCJsjC0tT6cmcrl2ztsXx0j5oWIFjJXwKUCwe9g0HS2xL4p0z7Ldw4JdzltNdqIAB2vYaTEFCEh6JtIG2UQAYzl6/bPkugAYEfwL4L6CEQksSKpIkEpIkQpK0TTLibj59lNbwh+Mix6d3K5jbl+u3orpFy3I0kOM0MXmLMZGVcF29KEMCCOhf/+HqVAxA0J8dTdfuTQtKp+jRuKZFAYEmdvqqZE+tsVwfNLIlmfZRnJfFmAIi4SXlOJagCMGnAEADBfxx0EJQDp5knj3zyL2EUqui8g8a6xa1KliRadD2TxxrH4m3vDjzOD2zIEG6hiBYjekLlS36AodWLQyfCiYbKwUCV7Bi8kcQygWSwG1ibWuwqEvoA8JPhyoVqCXncEACMjjfejkSC/Dr3bQm/eFfRPPYOrA8mQV7l0hCmOfYRlUtMHD+4q8Uv3E/bdt/kvayRcBvqVaWeeLMz9epQrAu6OU6j+Pg8fS2N+0NPo9yPiwKrepVoHaNq1DhAvlow96j5AV0ADT7tOJM5WyRAo3O7bkBQOjK9DT4IczcvMM1rK/46bTie3Hw3HnXvCEyXixNFiE5Lk7CktBL9mMJf4H8/D5F3gy13M77IPijSKZuOQ4/mkOcJwSWr1CiBukWAbQHqxVoQbAIhCK0y2+nBEf/QXAD5DIB/cdvkd8H6osvgl+rhDjbw5KQxL/PyVu3GX0SABCGNGxA1UsUpgkuVE6EOb2nXBn6MnldQJI4ebfTf/wPvbJpUYD/gXyH/8DHR3GIUzeA0KdyC/YLuMQU4jUBFGJ1vhBwpGnxWhwRqQL7GtzJfgQc1puBQtK5XUzt+WtQ2pHaVmbXQV0q+JeCtjWiUoEIKsCJP+HrAEVnVkO4Z3Zc+nnhGku42tXHnxu284BBCHchu4FBuc+czsf48TcqHkUjkxYFvEjAU3yYU7HPP8RJrlK2BIxa6ELI1jt11yaaz8l23AoiLiDVfYsykVYEC2j7U36+QAf5Q4SP0fGrl40CrFt7XvuhLUcCHGiySrD1AR+0OsXZifJGgaCNrMCZBQtW+xzvWywc8FtAEQuDtZHJfzK205yhFtaPYEAA3eCD0Ynnt0ulWumOoj6iY9wMQCCCT3RkGUuYmrk62ZOWgWsRGknT6uUsgR/7pOxhmpGUw0wtgaCnlwolC9Jt7CgKepDwx6UO6CEADwAN21NY+ODY925Cq5yjRqZpXK0cIccCwm7+yI61aTeAiNRVlwAJEuEIYTdBgVh14LDvxGpqWxA81KzPcEiG8GMqcDYG1QJFsj+HImChL7EMAHD7icQj9/ne2pVoxbaDnkKzSr1hVw36btUOWr3tMJ244E4twrVAOK9chp1L2U8A97g8/xW6Kx8OOcrPv1yjC/xnKmWYKoQQpGoRmhKsEwePXQgKSgQk3N+6tmVJADVq/oa9xucIvgiPtImiDkwzWrLjIH3LfjamZwZ+CM+1a8hO7mWsbNFu4U4xbonsFXUjRK6fPBpyvQALZTkuP6xH4qyLY2pCL6krSxWImiL5hOLXYgICcBDefuyUb7AqPgCN2dKm8v8xXgk4gISHZzjQgJ71Wq7JtGzIQQakVGIfJ/Fzwj4ritcNn6JggFqolMiV8tX69UZnclG4FOP7/k5CfMB3D98XJLL74x//QKOSOQGapgjC+/61hm3o+PULxgRp+C6/0SCWUtg64AYQ4KTcv0pLDtFdnGbu/4F9CZMDAo/IfGAJulFUoUiqVbCiDRSw/xJbFS7+lZNxutCCUCdYKc3OxX/5f+m+LqAiwXdBhH85VxKGpl09Red/u8TXdpLm9v4gDxjIBP0fWOYBAx83cVlcHM1fMJ9MVKLXXx9GERERPlpxVgH6FGCAH/qztTks6qHAfASwEnzR9GHWEFyjEUk/Bmgm8OJ5tnZbKsqcda/Y+KAHdY+szSHYaloDgaOc32gazpFnz5Y4wSGGe3aDBRmhgIY7OLsonJ2DFaE+oV4o1gxYMnpE1mGtbnq4wIS0FFfrANqGqfqZRs04tGD+oB+sSsw3H/5jglFjJ5ShdfuO0cfMp77M2nm9CKe8YuECtGDdLpqyMskoOOE8CIptalegZggJeSOiDIS1XSmn6BwLeNDwnr5wLajgqI9BtvOzNrkKa5UjSxeyHE4hVFZnTa4URKpBVBwAhWBRcSDoPdCkGnVoUNkCLX5BAgS/DpwxV8KgQtBI4AhH0NzvOnPhpvGk5ZrVJQStFmypQII5ZHcGBcWPhcR2qmVHYgj4y7ceoIUb9rlagR5sWs2K6ANwtXLTAZoTn+wphOO+NaxaiprVKU81K5VwgIB9B0/R7v38fDCYOHsDUGzdeUK9LM/1yhXYyngbRzMqW5hu435qVClBVSPTBUM4Ne9OOU1waA4GWEA3imlaldo0qmwBIjfgKwChW7OalHjwmCfV7rHo2gTLWsKhI55+CLhviAIFKgsi60iyvexwavecvBAOgsbWtExpasB+LFEc3Qq+BiJkb+FnP5Ts4wACsFyJFUANILCfkyD6jTYWwvA5adefqBYDfAmKcA/7QqH48cWBBeOZFo2tRIgztyXRmM1bAvKDYH7ebteao9hdoY82JQbkQsD3akTLDpy4bg9NPpAUMHQo255p0IK+2bvOqLh7vnpzerxWa0o8tccVIEgQkY7l6tEWjnS04cyuoCABA4H8UOzWglSbgUIRVgyWvaM45zdyj4YYMHjDDvgYHL1yhn0bLtG53y7SYRb+f+V9Wy+YfQ7SnstdzscvzGpmuKqs7RrVe12uAT9Zu5LgZ+cBg+BzZCU427Z9m7FmbKdYO2qRsYLLTgCDZhMGWI5G1QpWomd/mhJgJXi6CmdcLt+I3t28OIA2JKZKRMCZtXuLkQsJwRihMPtUb2hZBjILBiRiRn42vyLUnpRrrD3Ze8HJNT167XLAS1XqB1uKo5wa91vOEQrPzYygJH3rS2iJhH7VvEwluo2BB6wuwWKbSwZOP4CgOUc5GZe4mT5fv13vnvChG9ahOdN0/ptenrvSqPkU50oIilN+3OJKIxEwIAI2hLGNO9MsTvnWfSczDQICBu2xAxSUelVKUi0WOmtUTHdARvWNTImCA3QwB1nQRTo3ZqfTepGWdSKzIAF9Co0BFIp9Zy/QCdZ2ZpZPjfa8ilAuQFeC1hlAAEXG75WATKhC8BGBkIRIPsvYR+Tb9XuNXeI+92tdx5oj+A2AKjT9BwaJLo7D0MZ3jmZqEfP6xdoDC8DmpCN0mOlFKWkX6MBh52/f2HEmd9avVYpqVyvlAAoAqRt2HqG12w+7AhkZd9dWtQhAc87aHUaQKQDhoXb1LWf3r1ZuMQq0mOde7Kjcq0lNyw/Bi2aES8U9faB2NYqpWdm6ckv4DiFPRSany3GaUJckS7AaNQjWslD8BGC1An8fGcYljCiez6S0M7SS/X52nvrZqJBwDCgMG7gvSIooOTcQeAC5TmAJnJK0x9ijKFJw0M2CgChTr7dtRYv376YvkzYHWAieY+tBK1YEmhKk4Xv7VatuFnXKFAwEPmpDGCA8WqsVLUvb5gkQBldpzXkO6vO35RZac3wbrT+9k60ZBz0tCaaLhq+ilIp3lOTkabdYmzt+TpHd9vLMbxzqVPN1tA8GWckDBkEm6N/scB4wyKEbJny1uQcTaejWuY5RQHMwqkl/TszzD3oycXaAlQDOTb2rNGEfgl00YuuqgJeX8B9hHQCHddbObcaXnNqppV1nyk/jkqXtGNsq5Uet63fdckhmSwf8ExBubzdnkt124Zzf00kdU70SpQP5tExDQhI1ODtLsqBj1y4ZE9b47lSriLmUiElwxI4qylYBTiCEgrmFdWD+vt1GJzbUgabp8ToNqVPl6lYce7cPkpi0Y6pXpbhdB+jVuNUBYf5E81WMBchh81cZBRkdELgJiqrWWMBAMM0xrkctEMKKF0oXZtX96noo/HE5TwUKjWqWs3ZLZJq1Ow97+ijA6bRTwyoEbTiKCNnB6EZiSYjkMK11yhazQrRaDdz4J4BB6EFwSN7LwEGKHpYR90ot0LIK7QjUBgEBqAPaxY6jzOfmkK3BxinRo0AVwn0Dx/6rpZtcrQOgg/VqWduaD9C/5q3YQfHsRGwqQs0Bf1/AACwCG7cdoYRNKXT6nDfFyNRmdu1r1aQiNalfgRpElbcoSBfY+R7gZnHiPiN4hZWj371RBICA+QU4Nv0WAJie7NSI2jKoRDQs5HxwC+crvy3Q0fAbnc/J5dyoYWJFqM+J5RAeV/VPgR/AGbZUHeAoWKc4szbCeoaS0As0ICkIGYoCR3ZYKwQEyPFQ/QTEER8JAmXcmD/Q2LYdOeXqoyH96UvQ+EqxlQ45UFBADUK+C70I5Uj2S64Tv8BDpdDht4roZG4JHgEQhraPprP8TXpv5eoAHwT4H7zevBm1qFSBRiauYv6/U0sORdkn7WItDfqzq78L+N7AOv9hi/soifPpePkfxFSoQ+tOcQ6E/WuMYU4xF3BU7lK+IdVmn0GUo1fP0J6fUzlXRUqmgILVSDb9A+goyhaKIkw5Gtr2kVyjTYdslWcxyNpNzgMGWZu/TJ+Nh7fNlFcCXgh4ETxRsyONSV4ZYJIUviIitby9/ocAhygI0kNqNqXeNRpYcdqX7N/jCQi6RVSmtuUrUvNyFe1ENHJB0HThxYmCGNco8hGzNgz/5CNVv3S6D4FkjtWrIpTfIfZl2MJROkIFC3gp12AAAwpS3RKl7MgbAX3cAA1I1gbHPiknf71MkrhN9kkyNtmWpGySY0H2YylhCJcfPuQKBlBPrAMAVwAQY3/aQJ+yCVsv8hHqVTfKMot/sXZjgLABIWNkTCsOzVee5m7cRSOXb9abIXwYhz/Qmp2+/2hRhj5bvDGgDrSkSAz1SIcGVvx5aGAXMK88WLQZCIwIIVmUHY+h1Tf5DAR0pu2AIHeenVBBCzkLWpIPDjmaMAmrAAnB6DI61Qht+QUJqCsaSQg0UcjnEEJCN5zvVTAOCEJ+czeI0INQstCMQhPu5Uws1/5A81rWfQ5GF2pXP4LubVqFBIQBDKxI2EdrN6bQteuB9DT92qDdFypQuTI3/Er4WYMfgVv5jX1Sjp1I901JO8bhT5mG5NcKoYOETbvSaO6KZDKB0MwABFBjvPJ94H4gklFtTgiH9+SSnftpdtJeTxqaaN5NQEGfI8shmcGDFJMDuxxTlxCI1RCibqBFPUfoa2056aFutYJVYMH2/Z6ZsqUt/fcC8AsAlR0F9+Ms/yGE8WYGJ15UJaHVgQKG3woAnAkg4LqRq6J3g9qWk/Kw+JUBmZYBwD6M6WjlpHlq+eIABdxbjVn736Apjd+eGGCxx7f4NY5eFFupJo3buYo+3ZMQMBVCA0ZgCyTlHLNrWYA8ICdBWQgrQlThCIq4M4MmBKBwgXn+R9iHAVaArGj9pS91ichI+ZjOLDSlQuxsXPaOYrblQeqKolO2c3KZBwyyPvt5wCDrc5ipFvDw/seIzva58CUYXr8HVbyjBA1YNTUgDJpYCcbxS+jTnevt82RlQOUoeqVJe8vhFRaCdzYmyCHH0g0MSGjGTcdPZEvCJ+kUgq9kxKzCjnbFOFKFCTAgeycsC3B+XnviaMBLWNozLYWChFjdFQsWsjX6prqh7LM+0AxiZFzB4pHDOtC7ai2KrVLdGgPOd+O0SlSMPvWi+J4Rfbg80WgCf5Y/Xo9HN6TUcxeNtCF8CD/q0cYSUr5jH4LRSzYG+BAIbQK8apSFqzmngQcdw4tTrs6fCHfqvvM/pzubFi6YYUkQzrhaT9bFhyH5wCnavO+EK7UF9QWg9I9tSOLsKhQar4g7EpkG4TcBalBCAQnWCfwPc12aozHBOVIyQMsxLCEMQYDRCwQa0YB6CTXqeWpUJQhYsA4sZ2dirwhS+nUCEIxfuMlTow7rAOYS93IL04TmL03ypAgVL5Kf6tYoRRWY/lW9cglP4V+9Hr/rGMde+C3sO0XJe054juV29k0Y1Lsptbynim1FmLpkMy1YG0in8gsQYGEZ3LGh5WMDTTmAuFvCNAFssN6ggMryHVsRguXQQF0J26lakrBf6DpYdyuW0oafM0S1guXKb8QeaQ/WrPZsEahbpoTtJ4BjofwmxMKmJkGU9mUJACsBBs6wUuC0ki9Dz3KNZ/d2BpMoatSz8kikx9HI1OLHggGg0ol9iZCrAr+f8UzLNGWEB0D4stu9FijCu/rthES1K2v97ebRhPf0ayvjXK0HcO55Yc3CAGUd/M/Gt+/FuRb+l0ZuWULzj+0OaB8A4cN7HmSfszso9fIZmnlgLS05kRyQt0hOBEjoyMFIYss3cIAEOY7l3p+P2JtwEr7OUfq8SnmWO4RmdCvTl4L5KJz77TJHAbxE28+n0r5LJ+m7Pm/lKotBOCIk5Sbw43Uvs+NYHjDIjlnMRBsqMIi6qzSNbfEocwkP0AubFjpagy/B5Nb9WXj8D+OLR8yWoLfEHdhjdJxCg9BgP9GwqS00Q2iFk9y83bsDTKmOAYRpQ5zhWleKMAIFiZS0lcEC/BhCjfktfhGIhoTwfsU55F8xpgKpBZo4ZMCVIiFZQ6U9AWzdX6UGRZdLd0L3CwjgADhnyw4asWqDkTYEPwKEppyweit9xdlc1YIP30scPeXBxjWsBFDvzVgRQLFRAQEEYgiKH81Y6yp8d2tRje6pXd7WHEt/El1GdTINxcFU2oFQGVm+sCVUwsnULTINnJ2XrtvnyiNHe6qzKbaFVuMVuhLzAYtJd9akq8IGBCJoR7emsUDKnGlTtBr0Ec4iGtf65UqwhaIYVWALBYoAHxMNRsYDWlhHdsIWh3EvQACaVs92dSwnXZyPeztzwSZP6wAchJs1jKBGdcsbgcB+9kXZw0I8ys6dx6zl9u3pS2vD8C9fPg65WakIVYgowk7Hf6bq1UtRQaalFSyYTtOTUwSwbNh6mFZvCORFox4AQs8u9Si2fe2gAAHg8oU+za1nHHM7YdnmgN8N2gRAeK5btPWcQBBdxhmV3TJJQ0hGJCMBCBDcxaE9WOQc9OVWYGVAyaqPi1grVD8B6RPO7X4obPJ8gtNvotqpgQP2syXIK2me9B3KEvcDiRArMjVJBfhoA9fglcDx1fYNLSdyaGBm8fvWBBAQYWpEl3au9KK2ZcvQ2G5dKen0CdKtB7AOjGzRjmKYLuplPehVvQElnzvqmowUCdKerN3GAggQ5BOZZjR5/2pjsjSZOygUo4tEUtW7SlLdG9YE+CVkVwFQOcsWiUOXTtGp6xfpJP+tPuekVqGvf72Wu5yP84BB1p6APGCQtfnL9NkABnd/0pP6MHXohbr30bCf5gdQh/CieKVBJ8uX4IWf4hx94WUER6dodn4FvWV4wsoA4Rl1EGpNNNhoAJaBhbv30KIDhwIiMzg6uLEhSZksx2PW+HsVoRqFwpeV9vDiBRUJNCSTRQH1hMazn60KoVKQpJ/sWMIy0KlCpJVNVMAA2oVAAB8C09yqFgIr+yg7Ab77w9qAj77QhuC8CM6zybkYPPN3urW2TOXT4reSiTYEYfHp++6xNOTgln82K8EoaENQ6t2hDrXlaC6iTce1gOaxMnF/2LnlooFuDP44R71RC+hHcDb1AgkYP5xkwSWX8fuhGulO12q/NyPKilgf2rCgpQIBjMPv+MWZWK7bCxAASA3s0siOAiWAYPEKs6Mm7suAnk0sq0BBppBJ+Str9PftZQogA4HDqec44eMxOZQty+LF76Dadfhd0KgiVWXn47/c0CKj8WAgIRSAgPl4fUA7y1riBRDwOxLqHcbww45DviIZgcYiJdQwoHJeZpewCMASUY/9G0wWCD+RrtC3WAVaIAki06bUgmcUieaSUk+5BjZQ62f3uiThg2+IFC8KmAre8J4eu3ZzgIUWVpzP7u9gzdns7Un0fsI6xzcSfmBTut9vKWtM1gMoiEa0ibH83oauXRQQ2U5V4iWeOEBvbP4+gBmAa1EBArYhnC85soWWsRXBlA8BddQCi0KZ2zhEc5GK9u5Kd5WgfDccj+2dN1bOsOB/hgV+lE3n0sH3jkvHXS0WN05zLPKAgWM6/u038oBBDt1CAIMDaTD3/YF6/fC1I3svohd8Fd2Loph7+MGG5QHh0RAabUTLLhZtaNyWn+gzjp6gF1gIhjZj4ZG10ih40Y3bvDWAR6meJ1p8UH4Q0k51kFTr+V3HCxh+CvBRQObY45evuKasV9uEEN2ybBlqxKH16vE4Ijhkp6noVJ9QKUimNk37hKpkipaE+nF79nlaXgbWrklPNmVrDTsNgwccjDaEZ2JU3E8BTpD4uL3ZuZkdheaT+YkBuQhUTScE6zFzEo3OprAOdOP47+JkiuvYknyENrJmdvtuztAaoqMpBEn8SfmVuemZiVoj/HHQVFSBNJizKfrFNak0I+zzo3GXqEbI11D4TjMvGlaFlLMXrZjs4DlLOc4UCTcLA6gmUhBmsfidnCiNaRFu/gqIwrR0835jFB2042bxyE5A0LltdWrbvKodMhT9Agxs3ZJK8fG7sh0IoH2vEhnJYTabRlLLVtUc1gQvYCMAoWfXhlbTXr+DIQ80tkEl5v/DeYkB2m7d8oZGAdq9Ihkh1GkMh4818ewBFM4wFQg5LhD56iq/E/z4A6jzBAVCneKFqdQd+akEP1fIIwDnYxMQwHl+wYBQ2HSwijYABpAQcfHGfQHvHRw3FQBwJEWEtj8fgzw4HkcwPchUzvH76uyNfCSgHh04cSFoP/KbUC1mXhQw/CZf6XSPZZHDfRg4a3GAbwjomy+1i7Z8w3rNmO34ZuHb9GG7toQgEXN2bqcX1i53XAqURpNju1u+b7P3bCGTQg++B7AeoMQdTjY6KOOYDhCwDxSehJO7ad7hTZ6WBNQNd4G1ojazHWCt+LzLk3lUonBP+E1sPw8Y3MTJVrsCMFizO4leWPetAxTUK1CCRjUD3/BO6rX4GwdnERaAD+6JsXIRQHvedd70AC4+KDRvNW9nJxGD0Pph4jpXQAChtU3Fihz6rYI6vLCuw2oBsLDx+HFfNCa8jO+rXIkalipNzStWsMGOaZACFiSTqB5S1S2cKoR/KZKMzcu5WehCs3bu8pxbAQRoOxhtCHHBofUaMn1ZgMPfkyxoDG5Vn6mq/0vfLN9KkzgfgVrwgXw6tjHdf8OPYEbcFhozP9ABGZrSZ3o2dwCCNT/tp8lzNniCAQhbkUwpgZNpEaZ8lOPkViYqkDomdR0WiLTjP9MRdjRNPXqe/FCRTEIq2vRyNsVxXTuOfX44+qjnBySgXnYVCFteibnQj+47IH1nFyAAoOvRua7N1Zf2QRFauWo3xS3dKbtcl3XrluGwzXdQkcJ3UOHC+akQW3JM1CC0KQX0o3Pnr9C5s1fo0CEOEvBrRpAAqaMu0Uffvs2oCjvCS/ECCLiupwe2tC1RsJy9MyE+wOdCpRehXSSGe/9bptwxIFKLGsFI9gMgzFy/k77fncHplmNYiqDdkUGCakVQ6+jriCRkKqFmEA4VDERXKRsAZOR34wcMYH4aMuUnioVvk2+A6ZqC7UP/oCntYOsEMqd7JUJU/UPQLgCCScGCY/I+Bb3IFBYa9KuPu7azfDCGLfshIDna85w1+eXWLS0r9ovxSwKi7YljMsJsu/kejGrZlSIKFGb+/+80a/8GY4I0jPWBMjXoVU6SBh8EtQAkJJ0/TAeZ5gOev4nio9bP7LpYIAAAbmelpYmyBHkmHPSdzIw5XGMJV7uZucZwn5MHDMI9wy7t4yHLP3KAIxQpnJDGtnrIOkMHBeLEJL4EgzlKgloAGl7jKAk9a9W1dkNbPzRumVHwhmWgR60aFFu9mqeQjQ+UhGfUNVt6OEZ0Wq0oO5Cx1gombD0kozpWfT0x9TBtYafn9ceOO7Qzej3ZRqzpdgxmgoEEqZ+dS6FiTdqxy9gszM29a9W0nNXEWoN78cqi+ACtoEobQmP4kD/HeQnURGWwEohzMT6Sj3/xXYAWDWb1Z++PtrTdqDPkwwUBtCFd+EF/iD7z5ZS1rpr9YNxytJGVArCwh52Od+7lj5oLfxztI+rN/TFRtoAnfUITDGdTt6hKJoCAcyFo/Mgx//3mR6hVobjDJ0H6z+wS/R/hjM/B/CGQwE0iC6l9wWH7izkJxig8pmteGr+DJs5aHxBhCIIz6EJw3lVLAjvvTp2aSKdPX1F32+viH1CrVhnLN0AV1O1KmVj5+eertIUtE7t2Hackpii5AYVQAQKsUM8/3s7OtAzQbMrh8HDHKHq8e3piJPyO3BICQgB9o29bh3XJi8YiUwEKYJeoypbFT/Zl9zI7wADGBMDqFuJVxizaegCBmvwbcbO2Sf3sWOK+IETv2l2HXS1reB8O693GphYCvI1Ysi5A2QLQ9s3grhZgw7fuoZmLHL5eeD8vHPigBQ6gYBu4eInjEvAdGhlzr7Xvw3WraPJepx8YrPbvteloHYfvwZhd6x2KPJUOjErBAILJgmA1rvwD7Sjl8ukAahCqHLvOOSf+8VdLy6+cYq+K4F/stgKcMO0ua7+ESbUruazkJqE5XGMJV7suU5qju/OAQQ5NPx6yf77D0QpuFPzoh9/zgPVy0EGBUIeQSAsOxjooQNKVxxvcYwv5X6/faMzuCOvAQ/XqulJzhAv7bfK+AO67jDPUpTi++QnTh7ahiU/ihEArU1Io8ehxV228jEPoT2pGTzmWXUsI9hjThC1bXYELfCQG1K8XYHlBpJKnFvzg+OBgXBJtSOKbT1qzLSAMqepLAGHynekrHKAAH+aR/dvZMfuhEX3+s8UO52KJxtI3Jt10jb4hkI+dutaotQcYuJdpGw2jyjuoPDgvnEX447tYo+wWJtNNkIWwgEhLbjHtISwLn1y/Br8gAXPd+IYDZG0WgsTRV29P38bY0Ac0ntsOsZMu0yN0TbR6DoTO2EZVrbj66n6so62vvl1njLpjAgTQpn88dnnAfXabR2jzZ8xY50oXiulUy+L+1+PwpjejYDybNqfQT+sOGkGKG0D4elpCANDENb/2dAebIiWgUo9ghHkc8VQnW6j0EpCf69yYEOlLfDwwJwAIceyo7BbJSOYNlBZEt0IoXJ2/L3WCLaERT7Uc50/TAc44nMh8f1WpoJ8v1guTZUDqgk41e80Oo0M26ggYiObs6JIrRM51W+K9dPhkemhaqbP9QIblCPtu/8ufqSJbIaUgK3p5/pPoY7JfXQpIMGW5xjhVCyrOg3/Im98nOuYITtVzH+9qUYtA83zt+3hHVCkVHCD/RJfpsxx+B/j+zO7by/r2IoGo7pgMS/RXnbpZxxFQw+R78HytpvR43WgrUSbGKQBhVgpTf39N5/5jvxRYEO6P4G9NqYzkZXLsZi9TL3FuInaoHtq2W57F4GZPfhj7ywMGYZxcr6ZVYOAFChCGdHgL9ifgYuI0Tmjf2YqGgOMQqnVOJPbj5YV07yanXgiuyIQZty81gGuJc7O7qEAhulJ6EiqvPkQoj2egMP/AQa+q1jEBCiWYexvJSX9M1xysEelz84njnuBEKE4qXUjaNn1kcEw1UWMbH/dnZywLiM09oku0FXEIdSBYPvLpfIdACQHyw0ExtlBiog7pQg7amrNwM42fGRjuFlr5h7o3tgUn1DWVY5x/4Bhnvt21+7hFAUGds0wFMWmXIbihqBSTqix46ZFnrEraPy96ky7kqad60WtMPgjquQIS5m/Y65hrtY6+LhxqfX8wAKDWRxtdm3Dm5vqVXbWui9bspLELOBStlqnYBAjQtslKADoYwnt2aldb7Z6gqZ89e72RMgSO//33N6D6DSIcjsCOBm5s/PW33+lY2jk6evgs/Xb9d9q53UyvqVCpGN2Wj0MiVihKZcoXYcqRkyJhansbJ2VbuHCrEbQAsAwa1NoxPljDRoz+MYAe92ifpiS+B+jHDUx/+lxn21Eb9eCrYvLpwb0b2j3aKCRDU42EaUv3HHEIo2hPL+KPArAgBcnAUA6d/UV2WUuAAL/Rs6BccIskJI2KgO2WKE/AgB7NS85XlwBcCBiQysoHv7lK1PP1dVg6W9WrYOVPkTwbeh1s4/68MW1FgH+Ibt3B+/atBasc1C+Ag3f5fStRpZD74FFW5qhlPIc0RUAI0zdWBQeg+OrUItB7Z3XrayvuTL4HYAQItUjtd/b+jTQi6UcHs0COI2Jh74r1KbZCVADNSOpk5xKAJcUCAmm04exhSv7llD2u/3prdh4wyM7JzuG28oBBDt0AAIPaX75MNQoUd7UUqKDgjZXLHKZKmCGndX7Q9iUwaTMguCKDI5Jn6cUt8YteD4Jsfn5xIspFcRa2kYfAVLYxuJBssHoWWFN97IM2pkvVitSA227OIEG052718VJGiFW/IEHaAb2n7J3pwoflrMcOYmqBY/TV33/3nX1UshS7UZncrARvtm5Cj3JOAilwaH186jKH8yo+UhMfjrG1iOA7v/zNcjnFWiJSyqu9WlvrblpkOFWqVgJoj9/8aHEAbchLyEYHEBrXrObkTUfOedI7rMH4/CeRZ2rW4ChUQQROAITlTG0x+SQAzDzRv4UxhGZWAAIuA5rTxN1ptPngyQBhw+dlelYTPnYwzavbdcAS9HLfFnbYUenMjR6GuXrpifYOKxCcipcu2U6TJiXI6fbSpI23D95YARDYuvEgbeLswwnx5uhG+jmm7Xz5b6GohhWoPAOGBk0qU+lyRUzVrH1uVg3Qmx4ZEE0xMelUSlSGFWr2d5tp1qJtjvb0ucBv6LUvlwZQs0At6tepgQ2+0YhbrhCVzufo7MYGtNULOVmY3zwWpjb87hMwIAnx3M6DNQSJAqewv5LJioVnVI98ZWpLwIBX9DDTeZnZh2R8zTh6WRuOoqYX3EfQv/QobQA2rz/YwmGF+3TZ+oAQ0AhrOrBlPavZYODgiQULHTRdgINRsR0tazy+U70XzHD4HahOyegg+exxMmVNHsU+hOKYLNcnFoQxexJsQVyOyRIgoVnRCtSwKEc5K1IuW4ACQqtuO5dG+y6epp38Z7JeSP95wEBm4v/GMg8Y5NB9BDAQZx388HX6kAoKPmb+ohp5CKBgYfd+dtZfgIJ7Jkx2XAmoLcjaqEcWctNky8kI2RbDMZ1NMa+ljt8leJsADEjAEyzqBkCCZKIMBhCk/1CdmOW8zCwBBqLLlqauNap7WiE+jk+kz9dvd3ShWwlwEKCgx7iFDk2iynlFHRMoeKNHC9vBGHWe+XiBQ6CBwPjuo+0duQhAHXp62FwHxxza42cHtQrgl6NNFC+hMb1G9vyHQBfdPDJA46u3DoF32ryNRoDwwqOtArTgcr6XYP1Et8Z0X8taUtV1CQHqyOmfKZkpEVuZDrSb6UChFmguEZmlTkRxqlm+uEPYNLUFYev9yfGOeyv11Eg6sg9LgKh3P3NqOt2sBLi/Q1+eSQcPnlObIIC2/v2jqTlHeHIrAARxCzfRvGnr6Nerf3Orlun9UY0rUJ+BralK9TKubcCC8NVXKwIsVSbrAaJtvf/5DwHP/+RPH3IApXHz1tE3y5xO/cj7MGZoN8f9ggA6etFPpOeWgACqUvtMg4fGesdRfi9y0rtNHN0qmfNmZLXA2oCoV5H8FwwMSF8Ic+wGCLzobHI+lm50LLWOrGMe8/G7qW7lDMdxOaYuhWJ0+sK1ACdxtR7aGzawnSOIghyH5e+zBYkBdKiBbaLoKQ7hLAVgbcicFbJpLYOBg9l97iOxdOtOyfhG/DjoEcsyAHCg+x3gu72i76CMXEL83X9tzfc0P22fYwzqt99xgDcQxWhe6jZaeSZVP+TYRhCTe4pVsJyF61lA4U5PsAAQcOb6ZTpw6QztYRCgWgMcDRs2AEqOPj/GlmcMVW7qLlW2ys6Ow9Vudo4xu9rKAwbZNZMhtqM+ZB9vjHdkM1ZfDMgIHDNvmt26rnkwWQokYoJ90o0Vk4MVDkFwfbBOVWoeWT4ASOhtZGXbD1DIDECQMQlQQD6F3Wc58s05p9Aj9fwsBQggEpKf0K0AXE/OXRIAgCT0ndqnCRQgSsbzHZva1fBxu3/4THvbpPX6aOpKB98cH8sPno518HJNoEDXmNqd3FiB8+no0fGuzp8QHiMqFqGaNUtTOY5SpBZEovmN6S5/5b/fWIBMS0sXooNZHAAQHnywIXWKreughKhtY92NIqI7mKrnQZCDD4LJ4RRUHDf/A7UNfR1gAVldUa5z+6nsTCylKDuMF+Fswih+fRHkXCwRdenN8cuNtCG3sU6ckRhUMy59gA729lvzHUK1n/n3Cwgg2OdjqhAsAG4FNKOUfRzcwANYoJ1Hn4lxtSC4gVfQnz78qI/jOYL14J1PFjuAJfxpPnm7u+2UjLGa5t4EDlDXjb6iC6Co61ZUPwGpA6rQVX6m9ALLbWUW/lGQebti0QJ2Ijy9rtu225hRH5ZIv3QhtwzTaAf0n/ocOSqiVEGCr0B1BsOZKZIVPSHpsBEgo003kIxjphwvHz3c3mE5ML2LFzxxv22x1a2/+D5temGQbd3WwQEcksfcfx+6t4pu6ddpRagUl7KLXuE8RRf//nv6Sfxf9Su0dyorZ69foa92rKR1TOnx0uQrp2TbKoKkVGemQ/0isE6UtXwjVHkm2zrKZEPhGku42s3kZYb1tDxgENbpdW9cHjKYFDsummRXxAthdPse1ja0DvfOmkiHWdBFgcZh04AhNlcRx3WfgkmdY60Yy9YJyj83Tfab97ZwjX2tnJ7tqxCkE9i/YcWBVIezl3SUFYAgbWAJ4HSI41WfunpV3c3bV+jElavpccBvUIuQXA2lIudNkIhCjpNcNuC03XXStw4HY4x/GmuX9LjiEASaj5zqsBSM6dnW5reiCwid3d+faZv3AQqmPP+AIzIONOGvf51BMTIJLyZQ4KVdB01j3LgVAVpkCI0dY2pRDc5OW4bBhx8fAZepIgilezlBFiLPJKw9GFDNj8YaJ0E7/vnE1Q4tMGhR77/SxUgtwjluAMHkoI36N7tgfCbnYtzb53o3dxWwPvs6ntREZV7WIMz/88/NcIC+5i0i6bnnYhyCtH7tCSt30pcfLjYK8jHd6lPDZlWoao0y9BfOYhxK+fnCFTrGNLU9O9LoJ6asnTlxKeB0tN/j4Zauvgigu737zgLHc2sCB2hYnysTOMB9+GDKSkf+D9PvSwZqEkARYvbjRzu5+ozIuTdriXeKKTs6+ocTtZd/i4zR7feD4/gNdW1ejdo1rmLU4ksbmV2i790pp2nuiuQAkAAg8tbgdsbfh8k/SwcHcBiP+WyO/U4GnTPh1f52eFkotDpNmmsPHVmSR/eItbd1cPBp+7YO+q5u8UcitNEx99vnYwWOyY8un+0IT65GInRU1jYAEpKY8rP57BH6/thuV7qRdpqvTbE8VL6rGFW6qyhF8J+piDxjOnaz94VrLOFq92bPj5/+8oCBn1kKQx08ZAfS0ujeeWMp9dplqwcI/pv7vmBHJ3g67jtakHrA7n0O+xSomXb7zZrj4DnqLySc6EYdMmmy7Y5u8gqcfU2ZKDEMAQixtaqE1ZqR2UtGboIX49Y4Tkco16/4w6FTogAKHp6w0EEf0EEBPoB6SFL9QwaHyQHD59l94sM47d3eDrqDCRS8+dy9rtShyZNX09w5m+02ZcVEzZBjWV26aXzRLgDCyy/HOmLW6/3hGj/8crnDb8JLKJbz3Wg6mMdHuzYy8pfl3HAtAfQ+msGx89nSohbdV0Q9hnVd0MX1jx7ewwiOAPyGDZvnAAW4v888kx5SUW8b28fZmXj8F3GUtPFwwOFgAnvACT52AIBM+3pFAECAH8JTQztT8zZm6peJGuUXHMDa9MYLGYKeDFOn6YHf/t6TMXLYsYQmfsi4JTaYx0EAej0yjuOkm7CB94mJ9oSudcdcr+G4PZ8CqtXM417tZMcxN0f8Vx9qYaQG+gEHCPPa/5s4e3jw0xjVJz0UKXbqirVPYlpSzwbpTvwmBd1Pgwc4ov/plgM1lKl0aqIUQyZY1GWgle9A6gVbim/AyV8v0Ynrl3zTggACyuS7i6qyNcAP/UgdR24SmsM1lnC1q85jblnPAwY5dCfwkD097xsHhWjuvX0oukwla0QIfdZz8bf26BCS9CXOZCwFIUnfTkiUTUIo0uEdM15kcqDLuJmO0KMQtL/kCAvCk5R6uWHpBRAwvtwEZjCeN75fQVOSnE6XXmN8YPRcByjoV78KvdWtFZqyy6uT4hzxuaHNe6hdffs4hNrew2bYAiQ+zONf6+7Q0sHReMDz0xzadC9Q8MUXywIi0sD59NHH2lCZMuas0/aAsmHFKyrO66+zMOjBdwdFZML0BIfGHEPqfV89GtQ32nN0bgIGAMJHz8Q65tSzoSwchODmlnfCTQsq3emgwMtiAk7+a69lgEm0MXBgc3qwRxNpLmAJIX3kaxmaUqkQDkAgbcvSDSCg7yFDu0o1x9INHIz5coCjHjZefneeg1Zkel5M9waRrV7u3yagPexA/aET4wK47bAejHvmfgdwNzaQzTtNAjG6gFPxew+19UVzM80B2sgJQIB+pWBculUHx9RcFFIXS9NcTH/hAccc6A7JamQ4tKF+S/EdXfFUP1tZpVN64Yy8ZODDOM0qAA+6Q7IaUdCux34HH2xYTpMPOH1dVNlA6oaylIhCpnPycRh0N0uAqb5pX24SmsM1lnC1a5rPnN6XBwxy6A7gIcv/zpM2r1ClEGFInWdNsqMawK/gh97Ma/zTn+zRVv3kMzuesv4SkkrjEzfTu6s2yKblSzDz4QcCNNl2hVyy4gUQHomqTu91aZvjI9U1SMEAl+7oZgIF0Dr2GzXfvjY1+pDs1B0kv3i+s8PRGPV0gdELFMTFbacvPo+X5pkb/md69dVYulmx6u2OecUt4szESYOCAhQTteirET2Chl91sx6YAJc61uxYdxO6IHw++WAzT0FSdzQ2UWJkjBCYn3h8ksOnIBjg2r/nGD33yNfShLUMxvl3VM6GDfFpmMz+Lmp5+rXO1PG+Ruoue90EDkzXCkD54tvzHNam+RMGO5yR0ajpHpl+c/YAeMWNWnQzwQGiar06NT7LFoxH3p4VkCwxWNhfdS7CvW7yCZn7fl8jqNfBASJJjRzotACpyhskl1z5SnrCUVwHKKPNv5xuX5KuBNKToOm0XoCDRpPH2N98fNfXPfKU3Z66goRob29dZe/S2QT2gVyykpuE5nCNJVzt5pJb6BhGHjBwTMfN28BD9s/XMjRZqQNftylE4BtGTRpjDyau+0N2WFLs1F9AO4Y8aWsu5CRQiBqNmmjz3t3oLVI/2FJicp+8nO5wqdcvyc5wsXUr205b+vHMbAMgzNy8g6Zv32NfB9oBOBjanhPCsNYmJ4oeys4UdUgfV5sPptlhSRFFZNKgDAc1qTty9io70gm0erNf7RUgHLZ5YqxtLTDRTCDwdOyT8ezocdulLywhRPXp/aVNLXGjXqjn3Ix1aLdHjlxijwu0orHjBnpy4DEunT4FYXncR319DRn0rEnfb3Lwl8MJDkwCp19HaNzjno9NsC1CXqAAF//t3A2OkKQmQVmdJPD+H+/1he1PABrPw0+2dRXG1XPDsQ4606j35tOhvaet5jGeURMedXVKRqVXX5ll5zzA8zN12pMBQ8M8Dn5xup3roHPb6vTcY+0C62lWHViUFnz8SEA9dYeJ03+zLAemaGamZGzqeE3renADPJ/P9GxuFLpN59+sfXBSfnTEPPu9iHF+8VI3Y/cIN/ve3LX2sfj3Bzj8QOBv0GTEVPv4VA4dfU/lsva2qmyDMmjP607BXqX3ti1bhqb37mmfixXkOYieMcHeZ7IayEE4JQ9atUA2LYdk8T+0d+aSldwkNIdrLOFqN5fcQscw8oCBYzpu3oYKDHRrwfgt6+mdjQnWYExahXu+HGdnBHajEKkvMDS0/UUOk5bfnIPA6sjwT7J4frt1vy3UGqo5dkHL8ly7hg5nWkeFTGwA5PT5Zr6DEgVhPCesHzoowMdh4cAHKaJwerQQ0+Xp1gI16oXUh6DY5IVxskm6XwEO6A7HcZ8NJD0zKBJbjRq/2moHfPM5Xw92RF2xO+CV99//zuEA7Eczr54fznWd+gIH2ddfdzrsmfpHaMqhwxfZh7yAkV1JWdGFoXCAAxMo8KKoKMOzVvUIRF6WER38BfMpQAevPTPJ4VMwfHR/qtcoUh/GTd0GOHhh8HgbrFSqVpxGfzPEdQywPj3zTIZ21w0Mqb8XNGayGmC/7tfz/mPtffmiqGAf7YQbHJisFaZ3CcbiVfR3jZew7dXOzTqmj9fLqhP94jjbkqJTNTHegRMX2fkmdF8DKKvqfjLRvixJfCY7ElMP04PfZlh9TUq7hxbMopUnj1qnIErR4t4D5fSApW45mNi6G8VUrBlQL6d35CahGWPpOblDtk/JnAE/5pqQrNl+cVqDecBAm5CbtakCA/3H3mzKl3YkIt23ACE5752WEcbyh4f6BMTV160FodJvEMJt3KqtjuyQoc4LIjs8xiE4JWFMqOfr9d3Awcdd23kK5Xo7WdnWo1P4AQXoz4+1QP2gw2nxh/ceCbAWqGZ9N0fI3k9MDKoBxZh0wTsY3xzn3OyiO0Q/82w7RwIrt/Ho/PGpnz9kdMZ1O98EDkzJxNzO99pvoj6EAgpgFen/bEb4YhM3Xu1ftxbMnvOUZ1SpbZsO0rCnp9pNDHi6HXXnRGq5oSxbtIlGj1hsD+XBh5vRI08E+lVJBdVqAGuYyddAt764WQ3QpuqMDMD4/agBAb9R6Vtd6uDARBFU62d2Xe8H75FgeRVMfUED3+P1GfYhU3AD+2AuWlHfj15j/pJzUEzipG4osMwufjfDFwD7dEXOhtf6U5E70sMP4/jTHJb6u32pWCVY4qf1f8Bal3+q4u7t5tH0WNPGcsha6iHIdUaAozJvxM4f54hWtOy+gVSnaGm9Wo5u5wGDHJ3+bO88Dxhk+5T6a1AFBsl9X7STnuimxsS+g+1EZmh5yHeLaP6B9DCPbr4FeqScUK0FqiCrXg0ScD18T20qemf6SzKJk/RIid97xOFYK/v1qDuyPzNLN3Dw/eN9MtNcyOdEfzqJDl++ap+XwM5nXpYCVNQ/MiZrAep1fvMbO8OuSXDQP9aTh3UPCM+HGP9PKs6iXgJx/4e+sjnnblQLjCsni84Xh//DzFlPBaUU6c7XblFnvK5NBweoa5pzrzb0Y7rjOI6HAgpQ/71RS2j1hhSsUjCLEOq0af0+Flbp0bMhDRjQSjaNy4fv/8iOCBRMK29sIMw7dWvGzGWvuIYx1a0GbhaxOQs30/iZ6+2RL5s5xGhl03+DblFw7IaUlX4fzHYkxsuMFl9pLmBVpw+ZQhwHnOSyQxWww2Exc+k2y7v9WnXga6DmiPluWB9HKGgMpO5bE+zwpboTMnIb9JqZYZXUv68frVpDn27eYl0P8uH89NTjAdem+hCawpeqJ6RePE/3fT/J9k2IuP1OWtfnebVKjq/nAYMcvwXZOoA8YJCt0+m/MQEGiFW85IGMF4eqTTDRiFQOo+7cJL2rNKJQrQVoo/zLGRx1aP57cfSc2KjIoMl04Icwc/1Oh6XBjU8vYw11CXDw4fJERzSg0++9EGozmapf/I1R9nm6Cdk+oK1MWrONRi5PDwMKYDX/6R5ajfTNWk98bu/Xo2XggPrRc+M4q7SIYPx6VWD84ot+nmFB7YHlwAri7g8amGG69ztWdS4QrWfW2EEhj35G3BYaM3+jfZ7Jp8M+6GNFvYeonpn2VGuIl1M52tcF48VLXgwKqtrVewWnWmXCt8968vil3s1cwiH5vuZv211+NuUxzwzJQ56abOc3cHt2dL8cL2qWChhDuX+gj6lhiENJgmZfrMeKqgUHXemtfm0DhF2P0x2H6j/0mb0dCvixT8rBlTe+irPzT3jdHxWomd637yxYTdOZQouiZkOWS1O/BUsH9nDkq9Gt+ueGvSqn2cu4A3to8PJ061ebkmVpWrfe9jHTSuKxQ9TjhwymwNkn3jNVy7F9ecAgx6Y+LB3nAYOwTGvwRgUYtClRnqbH9rdPUIGB6YWhAgMTjQgNPTR1vp2B983WTejR6IZ2+8FWdOerIx8NCXZKwHE1JjSAxfZ3BgfUyeoO9cXsR3Of1f70iBR+wYgKDEyRiGRcoQADN76vqvlEduOP3uwuzQcsVWCwctXrAcdz0w51rG7CnT5e3XqSsPBFvYqvbRUcuIVC9NUQV1LbcruHwdpSgYGXAIt2dGDg5z6rwCB+2wfBhpMjx59+eIztiBwMGKh0Ii+6XPOun9jX4jWv6j10o/PZUUunfQAAQABJREFUDWkrKl0QOQS+fDq4z4zWhOvmU6O/s8OkmnjzricaDqjAYO3XT/iiSxmayZFd6v3xssap8zX2iVhqXK2cY7zqeztUYAA/hNpjvrLbMwGDYN95+2RlpejYN+wtlWVg78zBldwGDE6eOpPts5GbrjHbL05rMA8YaBNyszZzKzCA1r/b2O/sacgMMNDBxa53H7WzSNoNZ3FFBQa6xiaLTRtP1/0LMgMMTB8Y6UwFBjvHPiu77SVi7o+clh5Nw02oVIGBF1da18L7ERjtgeTAih+trz4snYufHcDAbd71vt221VCzmQUZsf3G2NGIvARYjEEFBm4ce3WseojS3AoMVDpRTgKDUJ8Hle4TTmCQFZoSLBstHhtrPxZbpz1nr/87rKjAwOv+qMDABKRUYPAk+8o937Gp4/Krv/+lHSnP9P0pMnykXT8cwCC3+RnkJqE5XGMJV7v2g5KLVvKAQQ7dDDdgoEYkMlkM1BeOH4uBX8qLTIMKDBBhaNGzPUMW6tU20K4br176zMxSTTYzu899YU/YpgKDCnfmp8TnB/oatvqByQow8PPBU4GBVzQeVWDEReR2YKBqfd2iy5huhqoFziww8APITH2b9qnOq5kFBuo1BQMGqoM5EtaN/MCbrvD/Z2CgOu17zWtWngfkFnhi7BLr0YAPQOInGRRS0/MSyj410o6JGuO3LZ3ulgcMiEx0WNUqn1VggBwFe54IbtGsNvl9288gDxi4P9HhEuDD1a77leTckTxgkENzL8BA9zGYs3M7vbB2uTUqUygzNbGZm4+B+tLSk7AEu1zdWVaiC/VoXDMoQIClYNj8VXaoN+kru4GBnnE4VPAj4wplqQIDnOcXjKjAwPSBkTGoFgOTM5wKDNx8DNTEZl4Otzow8EvPkbHezCWyIvfq+aXdpV9goCcAywww0EMgemkg7QF6rKj8Z1TLDH9btRh4gT+0n7B2L4ekTecx+3Hc1oGBl2Mv2s+JghwLfTpmUJxe5SR2zdvUch2K6mTvRiXKrI9BKM8D8hp0f3+mHSbTFA3H9SJ8HFCDF2QlJKruYO0V9tPHsG56FdUHxOv+qPNlshioPgZ6yFJclJfFwA+VSPUx8AMMdB+DPGDg/miFS4APV7vuV5JzR/KAQQ7NvQADdK8mN9OjEiUNHGJHLELdYct+oEk7dmGVHqgcSWPuv89aV/+pzscIqbnpBc6aHEIyMDUig7TrBRBgIViy/YDtrCXnYAlh+PO+HYOCCvUcr3UdFISivfdq188xNSqR33lV/S3QR/zzPY1O3KoznJ+oRKbsnrow7BZdBeNQBSY/2mSckxNFtRZAuB0/YaBnuE2MUU9cFczfwnRdOihAnawKSQhV+syn6YK69Bmq5UAFf8GiEumgyk0wlrFg2a31O3auAGQ6HvGFP8uY2kY410cOm0UJ8XusLpDobPriofSXW/9s7FIHwG5Rifz+bnSajZdzqz4glbqCYyZhVD8nlG3VfwHnZQUc6FGJ/IZlDWW84ajr9/5kd1SiQ5zkTP2+zt6eRM8vX2Fdop+oRAOq1ab32nR0nZLr//idGs4YZVsL8qISuU6VdSBcAny42vW+mpw5mgcMcmbeSQUGeh6D6mM/sV8CemZEPYHK4Zeep9v+9CfHVQRLwuKobNi4/vs/aFTcT0ZB31DduCscic705GI3O8mZbjW4v2oEje4Ra7x+daca/tXNAVnNyOlGM+j20hQ6ceGq1bRJoNRjsntFrVG1yWgwN1oNVCoMxuhHsEU9lVKFbS9qCI7rBVpTNZMqQjZmVx4DUDWe/2yxnaUVfYcCOBCK9YHBGZlTg1kNvvhiGcUt3Wldop+wtAkr2ZdFCXkbjMOvz104t3WLRrAcC+q1e/lYqA7dXr45qtUulDwGutCe3aBA5lzPY5BZcKBbDUJ1spbx3Oyl3/ujRnAyWW50ZY6ex0BVTpm+AWqAkOcbNqCXW7d0TMXZX69S1KSMyH9zOj9I0eUiHHXUjWFrv6fJB5LsXbnNWoCB5SahOVxjCVe79o3NRSt5wCCHboYKDPTMx0/HfUcLUg9YIzNpE/zQidSXV2a16qAGjedEZxK2zc9UwbLwbpfobM18jH713Ax+NfZ+xhxKnY/jE+nz9dvtUz6JaUk9G9S2t00r327cTa99n2gfMjljg2rQ7vXJdh2TA6HKb/ZDJwoWsjQ3Ww2Qw+CJxyeFnGtBB0degp492cqKDgpwKKv5C5TmrVW9j1BjxWfFauCHiqXnMvjgy0GuWnn92sK1jTClrzw10Y5GVKzUXfTNdy+7dofnp3NsRqQht+vWgdaHw+6jBnXKB7QLbXSXFybbgM4EzANO4h27j5ymfqMyMuFmt9Ox3qcODtDfG33bUuEbuWf0+m7bqpCNOn4zPbu1F+79odwflUZkChur0ohMIaZVGpH+/r/+979ThY8/tS/32wcfoOiICvY2VlQ/QlNIcrUychg0+zaDSvl8rab0UuN2apVcsZ6bhOZwjSVc7eaKG6gNIg8YaBNyszZVYIA+1fBjOv9w04AhDquASidyM1Xq2u3M5DOQuRCAsHTPETvpixyTpRfVSOpkZokwocN/TLDDr6INvxmHM9Ofn3NUx2fUDza3sMA0HznVnjsTZxXtvDopjn5MPoxViwow/ZVe1rr8Q4KsmOcmyaZR07wl+QgNHZ6RfMfLaqBr5GM61aJnnnE3adsdh3kFUZNGfbLUjj+P7vxYNAAKXnx7Hh04fN4e4fwJg6ng3bfb224rECymL91C3yzL0MyhbrgEIt3JE335pabowmww8KNqzkHH+vSzvlSmTCF0aSx69mMI4W9/3C/HchrooACDHj66P9VrFGkcP3a+//537GNx0Dru5V+hWgu88l2ojuNoNO6zgVTornxW+27/dEsBLIHzXu8TspDu1r7bfpWWKHXe6NGC7m9WUzZ9LVVKEU7w+3z6ajwbK+G3O+TDBbT36AW7Vbf7ozqAo7Luz4VvXcxnc+x3tZ7cTLda68nNvl6/kd5OSFcCFfjzn2nfi8/ZY8IKrAVtZ0y0GQHPRTWkl5q1dtSRDT2xGXwRNvd9gW77o5k6J+flxDI3Cc3hGku42s2J+xWszzxgEGyGwnQcD1n+d560XxBv129Nj9aNtnrTTY36y0NPoGJKu46GVCdkbGfVSRcCbuq5X9CUVWqXKSar2b5EIrNxiZsd2nnpxBQFQo7djCXAStdJ39rh6tBnMHCgOiGjvikjtP7RMlEO1I+1G51BjbACHvro4T2oTKmC6DagqBx+HMxpcACwMnLkEvr119/tsfoZkwkU9L6vHg3qm/6bshszrID7P2pmgk3Tkip+tcJSP9SlrpXF+dXKFqJhA9tRuRJ3ezY3cUYizVq0za7jda061x6UorHjBnomOxvz4UKKW7DVbh98/qeGdvZ09LUrZ+OKCRQE832Ii9tOX3web4/CLeOzTjlzo2Xp9ynYcwHr30vjlzoyHWMwpnj59iCzcQWCsppMTZruUKcCDevdxndeAp1ShHbg0Pv6gHZBQZH0eTOW6jsR/bndH8xLr5Gz7QzzoFrpyhfVWgBlV9xzPanIHekAEN+kjmNn0OHLV63Lal2+FE3r/4B9ibrT8cDaNWl4x3vt41h5aMEsWnnyqL1P9yGUAzoowH6dcix1c8MyNwnN4RpLuNrNDfdPH0MeMNBn5CZt4yEb9v0cenvrKqtHXRugmhtRQX+BDPluEc0/kK4Rw/GfBg+giEJOLaD+IkO9rIIDtBHuAq3Mq3GrHYI3+sSLeFiH5hRR2CzkhntcavsABwNnLbY/EjjmBQ4Aqh6esJCST/1sNaN/dKRt1UnRpGHUP9Ym/q8ewx+Uok/e7k63ssZSL6BcDH15pkM7Dz72m291C+rkq7eVlW2MY+LEVTYfXtrKLCgIpkWX9lV6luzLTp8CadNtCVDy5vjlNkVF6gWzVJiAkJd1SBeWcY8//KhPSOAAY3vw4Wb0yBNOYUfGnN1L+BR8zBagMycu2U0DFAwbweP26XDsdp16Ajw32p1u2QFwGzO0m6twDcfWRz6db0cfwsDxOx7Zv11AEi37osK0AovFlJVJjrGAU//pY518Z0U2PZ838/fhNTUmS4FXJCLVIot29bCuephtPby0GtQD5+sKKtW3ANaCLUOecFj61YiDOP+txs3p0QbO/AjYD2fjXou/oW0/ZyTpGlA5ioa36ILDubLkJqE5XGMJV7u58YbmAYMcuit4yA6kpTmiDahWA3AVG00eY1sUukVUptExGZkycbzBmLF08fd0zWr9IkVoycCHA67GpN3OreAA9Kcv1m500IZwQaAOjYxpRTE1KwdcX07uAPDq88182nYmg7riBQ4Os7Wl3adz7CGb+Kt6WEMTJ1lNlIXGTBz4pfE7aNT41XZfXoKyCRyAfvHqq7FUr767U5zdeBZXoNH+6KMltj+BNOfH2dgkIHtdq7SNpRraUPYjW+qTDzZzFfykXnYuIeB8MGUlxbO1RC1+wEHPxybYCc9wrpejtUopQl0/0ah0Z2ScB+H8udcZOBa6A5vZXmAliFu4iSaPztD6o5OYbvVpyNCurv3hOe7T+0vb2uQWxQrPzOAXp9Ppc+maX1jVJn/6UADlDPdF9SuAQDxreF9XbbkJFOD3++GgmJv6PKkThDG9M31FgPUiFGoRKIzvT46nTXtPqk0TlBJDeka7zoejcjZvQEHy8hdLHFY+L9CmJpfDUEy+BQ+MnmsrbvQcPnjXNxo10VZW6e/5uD37aODi9BwVaP/T9m2pV90orFpFpxCZQpGjYjhAwdnrV+js9ct0hv9O81+9Is4sz+g3H9OTIu4qitVMldwkNIdrLOFqN1MTHuaT8oBBmCfYrXl5yNSIA7AarOz+lB2eVLca6NEL9JeRyXSJ/nV/A+xDNIVXWfteNH9w/jXqh6vghbt01376ekOSQ/su/SEPw+PRDR3h4ORYbliawAGiJX3ctZ3RsqE7IpuiFOncZD18KQSWh96cZX8UIbCMf617AP3kvVFLaPWGFHuavOgmEKree3cBbd9+zK6PFQiPffs2oypVSzr2Z8cGaEMLF24N6BNUl5dfjg3aJ/wp3v/8B4dg7AcUQAv8zoR4e/5wLZjDT5/rTNUjimfHpWWqDZN2Nhh1A9ahp4fNtecAQu6zg1pRy3uqGMeggwM/1qHjaefohcHj7TCm0jAAQtuYulS/caSrBl/q+lkiR8Hcb9ZQ4so9AX0FAwUmv5QRI7oHAFsTkDQ5HJu00V7Ro/TfLK5X/936mYNw1VEj8UgfsB4M7R7t25KhU6qkHYDpDk2q3JTfDu6LyRcIv5MRT3UyAjA4gA8Zt8S2nJiiNelUz6kPx9A9lcvKJdLTc5fQd/sygLvqW5B64QJ1mT7LVUkHJV7vBTNo24VzdnuJfQdTxN1OCz9yFTy5eoGtDETlUC0FqZfO0veHk2jPxdN07NdLlPrrRbtPPyv1CpSgO/50CzUpWoGK33YnRTGIKHpbcAWAyDN++gh3nXCNJVzthns+MtN+HjDIzKxlwznykEGTUGdGRvQMJDyb3flh28Go2ZQv6fDVK1aPAA4Lu/dzvFBU8yUquYGDxENp9NSCH2yNB+pCE/9a6yZBo+qgbnYXWDKmb9pBU5LSY5Lr7XsJ13pdr234Y2w9nq7p2nf+PF29YWE5evkKpV65QnDeLnvnHVTqjvxUIv8d/Jefit1xO9Up6V8QNoEDjOlNnttHGdToZeDERY4kcCZwoDsQ6ho+neIAwVaPN65rRjGOYILzt3M30KRJCfqQCQJkrdplqFWr6p6OqwEnajsABjZuSqHEhIO2ZletAurQoEGtPSkuuK7Z3212cOzRRrBrg+ZzzJzEAM28X16/Os5wresRi9AP7m2/e6Oob0wDY7e6wzkquc1FZq1DJq6/DAb+B9FtqlP1OuWoas0yvi0JaHPf7mO0Z0ca7dx2xI44JO1iibaHvvegp6OxyS/FZG0ygQITWDbdAzfeuptG3hRVTL2unFiHD9OrU+NtAVnGAKvG4I4NqUb54KAYczN8UrzD0Vfawe+oZ7s61KZR9lt28duN37ifpv/A1Kjf/i5dWksAk5f7t3Hskw3dUoD9usOxntRTT0SpU4jU9zqE/l4zZtPWcxlCv0rrNYGCUS3aU89adWWI1jIuZRcNWrXAsc8vKEg+d5RWn9hHS4/tCRkIODp02YjIV4A6lalO9YuUZ6BQ1pZN1Ooiz6j7cmo9XGPJSrupqam0ePH3tGH9elaEbbOnpnyFCvTSiy9Tx5gYe5/byieffMy+U59Zh0+eyqCZudXPyv48YJCV2cvCuepDNnvPFnrhpzi7NfWFkHz6JMXMm2YfQ3izH3pzwrIbuQvw4ukwcYol5EolU+xkHDPx4rEfQvjAxlHUvFK5sGrm4ZyVcPAIfZu8z0G/wRikILTqS62aZIo2hLlIOnGSthw/QeuPHXe8rKV9v0twRO+rXInaVKwYEG7O1AbAwZOsVVp15ITjsG5yxkHd3wD7dHAAzZjqKIc6urChU4pMpnRdo4x2vHwOcBza17ffmh9A7cExFFA0optHUuNGFelW5nq7WRNAEfqNhb+0tAt07vwVVzCANmElePLJtgEaXhxTC67n9Q++t2kgcszNcVSOw5dg7IKNAUIF6BCvPOLfIVPaU5cQDnG/1FK+2N1G7aVax23dTfjyAjB6ki607Xaf3axDbk666jjnzVhL86atC9Doq3UgzFesWpxq1Q0M+yn1dm4/Qkkb0yNwyT59CSvBgKfu9bRGTJ68mubO2ew41eSXYgIFpvkxWW3cBE+T0Al/gtcfbEFt60U6xuS1gUg4Z/kvKe20VW3zkVPWcm3qKYIvUq0S6T5VVYoVpNt5Ox8rdKLKFTMmSvTqB8dAVXxvxgpaf9BJC8IxOCc/e3900KhJeNYXrt5pFNLRDkIpt6pXgWpVKkE1KhbP9O8AYGDDziO0dN0+IxABYPbKL2K6P/o7VAcFuu8XFGq9ZmZEedNz58RO+sbxnVEpRCZQYAo/bgIFKq0Yc6oXUI5m7d9AY/Yk0MV//E0/bNxuU8xMC03+5ZTvNtAw2mlfujq1KFXFtiao8oyx85u4M1xjyUq7/fs/RKtXrWQLfD3OxzOIKlaqZAGFGdOn06VLF+mNN9+iwYMfdZ2lHcnJFBubAR7ygIHrVP17H9AfsqeXz6X5afvsi1IjEKjhS1FB5yfqpkzUUV9Q2FaLrgGRY7AgdKlakfo1qm2kwUi9UJYQmBP45briQKrDFKu2kZV+8fJNSDlM8SkpDmdstf2srgMktCxbhtoxSIipXtWzOeRbGLFqg8MyA3AwtH20A3T5AQcmzrKu7dJ58iZwgPCWb3602BHGE0LRuy93DuBVqxeHJGhTpya6AgS1rqzDsoCIQqdPp1u5ZL/bsnmLSGrSuBI1Z61fsKJHkUF9hJh87ekOVDWyhPF0N340hJe3BrcLif6A+7Hz8Glau/MwXWOrxe4TF4x9qjshKFbn6CeRJQtRHaYp1WSt7K0s3PkpoG7oGlIIQ+8+2p4a1QzkCZtAE+7z0KfaG6NSmaxDfqhFGDtCmq7i0K6ShdjP9fipg9CoHbrUo5iujTwBgRu4eebZdhTD9Ca1mEABLCqD+zV3OOSbsl27WQr0fAHoL5ScAXB0XbsvjX7kENBpl66pw/W9DiE2mjPL1y9XImSgAHrNJ/MTjc8w+PcPt68f9DkFQNi4M43GL9zkoOXpF4B3Ur0qJS2gcBv/HvD861G38Ds9f/EaHT75M13n39ba7YeNYEDaxn3p16mB6xjVhJFyjg4K4PPVY9xCOzQp5nPu411twKX75+E7teKpfjb9Vg0bjj50a72ajwjHdT9B7DOBAvXbjzp6Gb9ztScgAB2oI2v4I+8qZvkO1GEtv58Cy4P4IexjKtJO/gtGRRJrwuiugyncwqqfa0AdXbbye16wellpV4DBtm1JVKRohi+HagU4cDCFbrvtNuMw7uvSmRVsaRaIQIVwz3WexcB4G8K/Ew9Z2U+H0OTW/S2nH93pCLShRV0GUkSBwtZg3li5jCbv3WEPTNc8mMBB27JlaGy3rrZ1wT6ZV6C9f2VRfICGW+pAcx/DfgglmFZTqUghqlj4bodgK/XUJV6kZ1jzdfDcBTp1+RrtOXvB1TKA89DHY02iqFPNKkHbVvsJFQxgHqoVLky3s4CPUrlwIUvrZm3wP6EabTx+3Nq14ugxORSwBPWod62a1KdelHFecQLm4aWF8Y5rh6ZpXK9Y+6OCepkBBxA0pzz/gCOqiAkc6CEvTcIR+OiDejelTu1qYziuBRaE1av30M4dxxzRi1xPCHJAwED9BhGelCFpBtrwyXM2BFgJTMKdnCNazTHzN8oue+k3Hju0q+v3pNH2lJO0kTWsV1lgyY4CAbJepZLUtHo5x300tQ2ByUR/chOMcJ/f+WQxbd2ZYbnCfX792XuNibtg1Rk2bJ6D1gWL0NNPt/MF1kAHWrtiB+1OSqOUA6cdEYRM12PaB18FWBeq1SpLVaqXMVVx7ANgHc2OyWpIW4zZlJ8B0YdGjP7R8eyYaFYmUGBy/sZzNXRinEPjjt/k07GNg+YJQEbdNQwGvPLBOC40xA04zHaoXp7qlSvu4Md7NQOt+ldLN9khPKUurukRBgjdOPeBHyALauM8fg50B3ppLzuWAMVt2MLXP7ahq8Mz7s/wWSvtfDDo1/TO1EEB6i144n6SENwmeqgahUjNV4Bz9eAf+vcayrxZ3fo6vhmqfyHa0L/52CcF8kHCif30UXK8UVgHGOhRsb5Diy/nZmUJn4VtDBg2nz1M84/tdm3qv95iOtXB/bYFwbXiTTiQFQHea3hZaRcA4Nq1a/Tuu+85ugDFqGWL9JDaS5bEUe06dRzHsTFhwnj2/3vHsipgiZIHDKxp+L/3Dw/ZP9/pRQX+eAst6viEBQ702MX6i0KPgewHHEDbPbZzJ1c6DEyl3+3Y66rN12ceIUPVknz6vEM7rh4zrYt14L7aValO6eCcVmnDLxgQ7X5VBgL1S5cMyVcglL7QzxBOd9+5ejWHsG+3wZYSPWIRrv3LbvdSNFO2pJjAATiun/ftyGDpj1Y13SSOD50e/lAHB/iImpxp1ay5/x973wFdVbW1O8cb77/32gDpvSd0SAECoSSUUEPo0ouAIqBYsKF41SuCygUVBURAkSa9hk6A0EkIPZSETghNqu3+9x/jjbe+E9Y+a6+91t77JOck3Peyxkh2W22Xs/f85vzmnHwO0Cq/PKSFVuvO62F5+/YDOngwnY4du2wkkBKPy+ugCJUqVYiqBpWkKpXZPXEJBtCPDhDYCbpoBzqIKi8BHBRf7RNt0VaiDS8QLPaevEgLEg4rtam8nmoJgd+tJYG3hwPowNZh1I5RT+wEMF1YVZ31QHWfWzUJpjdGtDVpyTEPnfY9O47ncCC+dP4GXTx3nUAXUpVnnnmCqlQr7RoI8D4AYubP32VxVsc8P/h7DwvIlCNzoR8VKJApeainAgUqjr5T+E/QhOIPn6ElSadsLQMQ6isUKUDlni1AZdh6abYs9Shb8XUGUDOZogUFNKMH7BnlYY89OxX/oP3uxEBCy1qVXYEEVWhTdOsrQOD0n8OnM+hA6hULdU8xVdtdHAw0C62itJKJjWElmLqW0QUFAK8CBaAP/Z1lor/HriMvYl4ZFSgQMxzLQT8AChYN6GsI/U6gQFYCYg7yt57PC8tFp/bRhJSNSrrP0OAIGhUak2sCeeKV04w6xehdkj8DgEGghVXxmtit50SAz+1+nYDBjevXqQFTQr762uvUqmUrg04U6GudbzHQPAm//fYb40TvpINJB+nKlSuMd32Rzp87R61ax1BkZCT17dtPa/bRdGnazYEBdsIct6HL6x6nHtm0iBcGj1Sk4izKmghYDsasXW/iPWIMmDnfbd3KeHlhn1jwMrSLDiTW9XWdg4HWNaqahGKnfnwBA774AziNKx53Mwdc21FNm1oAAq6pG78DFThAKNMfX2TWHg04wBxl07gMDlBHJeCoKDmoC8HxpUHRtvQi1FMVCG1ieZIBE7vsumJdeV0HCFCvYUh5+vDNzhbhFsd0tCEIFyN7RFLXliGopiwQ+hKPX6Ale04qj/OdiGjSkGn7QQt6mglfJZgQV+KRAMfr8CXoGijp137xWB14Vmt+XF4iis1z0SFaK4LKKRZ96PwkVIKxHahSUYvQP+hF3btHuLIgoL6/CyxWM7/bagEEGEflFwGryZQZm00RuVBXdjQGCHQbJlYV1UcV3QbjoIAqtPbQaZrHAIGu4DfetnYViq5ZyaCv6OrK+/HO2MUsEMkMKOw5l2ELOgAS+jasSX2b1DOSdcn9YRvXY+qq3crfAATsdmFBNKR9hPZ5V/WJZ/ZYWgYBKDz841+WkKdyG4D3Ak/+jYIrFKOq5Yo5ggG01/lN4P58OLCN6fck+xSgvRMoEP3EZFAABdHqgf2MHEJOoADBRoZvWmTKUaADBaD2fHRgDSXfyfI5wVx56VmxLo2NYBZoFxGDeBt/L2FN2M6sGOsZSDjy8hePFTBoNaOzv0+XEkas8fs5ro+Pp5deepEKFy5Cx45bA7GAggTZMz5+A6UzujT3M8gHBn6/ve46FJ09nh8ylCIaRtDDX3+lpUsWe7zKsU82C7nrOauWCAywB6bARR1e8oAD2RlZjFTkBhygP9nUiX2gwXzdOdZRiw4qzHbmJJzKqEAPmHArO9SiL10BPahi4YJUu1Rxg4YUKMtAoMCA7txAv5rGogrMPnLMUoVbEFQUI5VPBywv03rHGRQqf4EDlWZZ5TwJv4NJ0zeZKCc4KQiOLSKDqWuHMCUv3XLiftqB+WzbdYp+Xp1shN4UuwYgGPRcpNKqAYFGFcIQ7XHudtQDHZWCjw2NcExoVZ/9A3h7eQmwsIsBkKSzV7UWCbsoMbpzBfhRWQ9UfgeYk856YCeEw/ozeHBUrgEEgM2t245bkt5h/jprhup8VWAIIPLdqWtNPHZcQznsL4ROVRZjVVZyzAsUlc/W7TZFHcN+XmAN7Fa/JoVVKm0rpPP6bpewTCSeukjLD52ytSYgyEFc/RoGZUbVP875h40HlQAB9fF89m0Z6jrMqWoM7AP9iJfshAm2m6fq/kxZv4emJXrpuBg7J6AA7cUIRE6gQGYEoH1M2So0vV1vU6QfWBQ+O7iO5qQdRBVTyW0LgWlwm41AaelthtQewlwCBQy0g7ID2RHWue/BF5MmU58+fUzd//zzz/T2W2No4aKfqXnzKBJl0uyMZercYSPfYqC5QPwmdOveg77+eqpRi5t2sMPOWcRooFnBwzvo569NP3786Mc36+lpIfMPncABtA5yKFOE6nx1TbwpYhE6B+f+teZNHQGCZyKP/kEoRuQMu+ILABD7caOVR30I37kNBsR58nVcizUnTtI3Bw4asav5Mczx87ZtLE7KAFtypmSAqNn9OhuO3jpw8M3AjoYQAUH20yU7TOZyOV66KrIKHAA/Gx1n4eYi1OXU2dtNHGx+LhDGu8eGK7npvE5Olxh/y45Ui3aX9+sECHTRUXC+r/eL1joXOwECXNOoupVzLPzw81At4cy8dOdRWwFMF0YSQtWXC3eaBFuMofI9gAZdFd4Vjtujh7VU3l/w+FesOKj0KRGjUvk7AR6oatsTTtLGjUeVDux20atUFhKVk73u9yFnNFb91qA5/2ZEnCW0J3673yckWQRP3BNO6xneuqHxO8b+QBWAhMMXMykh9TytPq6mc8Fa8XyzUOoQWk07DTvBG40Amrs1qUXtGtbwyYqgHdDlAbt5AbS83iPKZCXAvZkcv9tkvcE9mcVyFXCfApVfmJ2lAFOd3TnOeM/LWY1lS77bHAU62hAiAX3erJcrC8FvLEpR+r1M+vV//qSzd5mlhm2n3r1Kl3677bnCFZ8uZrnSBRiluVbhcsxZ+Qmq9mxZBlSeoKBnS1vq6Xb8/wIM/CmQc2uBLGPiGoOx0iSyMVPCtDDkTy6T4rg/54H+5JIPDOQr8mgbAGDturXUokVLCgoyh/mChzhi0apQnqY7y27+QxqdMM/k1OMLOPh81zaTQzLAwcQWLCpHjTrGeBC6P9uWoNRyZwcgGB3ncCW3wADGSfslK3pM5sP7dO1hVrZTefoNylbw7ApmSWd4KFi5jryNvhewKAMqgKCyzqi4qyq/g4+XJ1g+YmK0DFW0InwQxQyrMOHLmUGhEdWF9wO9SKethwAZ27oO1a1ZVqmxl6+L3TYsAwdSztNRlkU1mfkpPPzNy/MV20Gj3a1jmHY8OIuqoqE40YbsAAGoB/1bhVGT2pVs+f7iPP2xDivAJgb45m07bHECRf92FgQVPx4Rl8b0j7bQMFSOuOjfjkKm4/WjHS/cmbwiA2O+0scABG7fYoEKTlyho0cvKelCGMfOWgErwfS5OyzWL5Vzuup6waokZrvWUWrk3xg/fxVnHcfgN/B620bUnCXK4pRA3ia3lhCKF+87Rt8xTbnIqefjY469mBWhd2Q97RxxPZYz/v7KvanK5xN9ccta+4gaJqGcj+OPJaxt6w+eVgJpADaVAzgsOGOXbjNZUQAKxPcpQEG32UtMvnIiKEhMP0e9liwznYIICuSogbKSbuahRPooaZup/RshTemtyLbGPlgJRib8RFszvUnUcBA0408adaGo8vrcEAACh2+dZ07C6bT3xllKuZsVRMPoPAcr4YUrUB0GGGoULusBDKElqih74/KM8mAu78RcAmUx8JdADt+CHt27UeXKlWn+goUWWvqrr45mPnw7aPPmLUYUo3xgkMsPki/DAcnVqB7sabJ9R6IFNLjti/+QPI5IG74z8QjdggOMNYmBgy9TzHG8VQlU8HIbt3mrxXqAPnrWqO4JxRkdXNW1UIx2vhZo2pFnwCm0aHYtA+BvpmRc8Qj/+65eZi/L66Yskr7MFxqfpuUqUo1iJSi8bHkjG7WqD5yXjmKEnBIjmzUxXdcPVm+xJHYTndswhgocfNk7xnAkVIEDWZuJD/p7366z8Hp1nHRolsHvX7zmkNKCwM8dWvygSiWobi2mWWIfZJSn2LJiea8mCkIoys3bDz1/v7GkRDtZYrNrN9TADHVB+egUU5e6tA/V+jnoHIvRXqUtx34UO0BgJ3hntVb/5/Hn+VHEoUeM+WCWw4AXrpHk205LCD/frz9ginrD22CesjYUx2A9eOPLNRZHT9V91lkP0A9yQcS1C1X6b7gBCOgDBT4JTz/9NwoJqejZlv/9xiIZnUu/QWfP3jBFFpLrYZv7N6ic1nEuazcdoZkL9pia4jmSsz+rqENoNHZQC5PvCX5XH8/bYqF5yQkG0RZ+BBPW7jIJndgPwfMfXaJstfGoxwsEUx7NDfs4hZMf58vISt6kiw0qlnMVKY63xRIA5svNB5T+CG6tGvDFWbT9iPL55GPhPRTJntX6weUoqExRi3WF13Na4l4gPLBdVDCMpYueJGeZx3iy75YTKFBF+xNBwcyDe+jjfTvRtafIoEC2/KOSHI4UDr2jEhdZnIs/Cm9P/Wqyb8dfsqLpZY2Q9R9g4OczibTxylG/AgFxDN06wEKTktWoQckgCitexWNd4PKMrk1u7g/UXPzVrxMo4A7JyHnQvkMH49JlZGTQjz/M8Wwj7wFKmdJlXCVH81T24V++xcCHi4WqPO4sbtqq1Wt8bO2tLj5kduDAc2zNj7bOSrLGAqMgZvKEmFiTQIr9cJ76PHGXEiDgOKwI7aoFUwtmJSlVsAB2ZbtwIHDgymVKvHhZOyYfwFeAwoHAQQYGEq9eNDJE8/78ucQLv0X5SjQ4tCGFlfF+oMUx8BH5ZGsCyeFOVdaD+GOnaTjLRC0WOd+BEycWgv+Ir1c4CjGIhy+H7bSzHmBOoPisiE+xaGHF+fprHUCjHdPatmxWU9slhN/Zq/dbQA4a2PkR+AsQQAiE4H868zYlssRTKu2rdvLsAASSxlXKekJJhlZijsuPnMp1bewAgirOPJ6FaUt20XJGARKL7j7rrAcQqu1C2ELDn8qsPXv3nXUVlUqci9t1UJU6xobYZtnWzR/P0sjBLUwgVUUdglXli1fjTBGqVNQhVdQhFTWFn9uoqFB6sVVD2/uL9yISPe6/eJV2sISId5kfV3YL6Ij1ShenWsynC2DBDZ0Tz/K0rQe1fhBd6lah/k1DDJqNam6g8yxjNLitR85prQhiO4BahOjlBY77AA0oN5i/x/VHuRySme8NygmWI0SMLuTZKfzDfdFF8wJgn8SoQzKNCuf1cY/Wxr3BO3hsfILp+ouWAlBxByxZbqKLiqBA9ikQQYHuuz2vQ38KK5VlncbpTEqKpykndgpnluVvOLP1YCVt6MhNRg87f4DmnjODYVMHjzYgwBf6y5MeihCoQtWY1v+Z/3rCqMqpRnwH6EagHR1hFoe7//6D73ZcYpzkl6ZS8tlUKvnUs471A11BlK38OZY/+tWBAux/huUwQI4DrH/66XjL1B/cv+9hquAAguCg1K5dm9588y3Puj//5QMDF1cTXLDZs2cZNwWOx2+//Y7F/OOiK6MKHrIG342m9uVD6IW67Qge/l3XTzdpDbjlAC+Zz/ZuojmnU4z2eAmJL5l0RpfptnSeSUOOOu9FRlvSr6MTJ4CAOtDch5cqiVWKrOB9mSEMqFwy7z+kjAdMaLh5ky7fu2+JiiTX59u+goHEC+mUlHGZ1p074xMQiClnTvJSnmWQLlugIKXevskcrP9FFx/ec90fsk+/3Zg5YVYOtgAvnJfOt+Oj6Ch6qWkkP3U6fPkaDWJZNUXBQM6sqYqiIWdJVkVMQRbTcf28GX112XQhIA1nyaRiGqtN1RDA9iWfp8OM6nH63E1j7jlZATWpft3yVK9WOYoIr6LUUPP+QRmK35OqBAR24UdzCgggPCEB1SkGBJCB1t9FBArNGNVEVwAQVImooClVZdgFgPr4+82WhFO4Vu8PbUvFCz9jGkpHIbPzP+AdIMxpEgtdC5CQcuiSo/aft5OXAALVqpX0hLStW6e8bfZrPI8/Ld1nAawqQKMDS7IlBfVU0Xjk3xDmDS30JKZ1l4EhnIrf7dRMGV0IFEIkeTzIgMCuC1fo3D291Uy+NtnZ7s7yzzRm1gWn/DAQoGduSzLRFsXx3PghoD40+8j3kcBAgpukf+IYvq5zup8us/Ts7ckW2pTKgoNElG/GbzcNL1pt5ehDqJgTUAAfwZnt+hqWZ3zvx+xaYmIKYIw36kTTWw29GW6xD9aBxIyTNPnoWjr/2y/YpSytStagxiWDqX6JINJRfpQNNTsBQs7ey6DTzE/hBAMNdhSl//Oe/yP2aKbluNsfArxqkJz2qwMFGAtOyIh26Tb7sb8oTarzxL58YKC7MsJ+cLuSmU8ByqJFCz1hSxFX9qWXRjiCAzxMuvK/JmSF1Bpdsw2Nqd/VFhygDyezJMDBm5vXUvKtG6YhIch+1bazUtONFyCoPdtZUq87TEAOdIH2PKpSBWpUvgK5oS55fBEupNGW82m0PP204/RwriHFS1EtRgGqzv6CixU3XsaOjR9VOHyN8d8Z+ABo2HHloglsiX0AeL0c3ojiataxjIF5j2UhxpadPiM28STCmdmzu2GNUTm9we9g5bBehlMyhNQXfow3CSMAB2NimxnaLzcx1iEA6aL32AnZ4glAMDt+KoPOXbxFvzJKiJhIS6yHdQhr1VmOBBRQj0oWL0B1apQ1aXM9BxX/dD4EqIq5DuvSWOlYjOvw+dJEpRbTiTIEQclNzHl5uhA8QphFgBc3ceZ5XSw5zzs2rLrWOVWlzUZbnNMHA9qYnD9xn+GUrbISqSIXgZLz/bydtGaLNVwenHd7dgq3teZgHryAcnTr1gO6efMBnWP5DH5jWbB5QS6Lp5/y0iLqMBBQjD0TxYoV5FW0Sx0gQANVhCWVjw3qZpc6pOKqoz/uR6By4oVlYMGBIzTv0AkT+Ec7uUAhUJA9R+ULFaSyLIcBCiwAKMmXvKGAOc3IbaQ4gITuocyRXsid4ulU+Mf9EHS5FvB8v8QsIXbPJ+8OloRjjP6TlnHbNvIWr++0hGWgEXvGEQjALms43pEqWhfAzcTnWpsAm4rKOZPll4mtl6UcyQkoUIUjFQOH4Hzjzx2mFxh1SCzIZzQvZgjJWYoXM7rQ5wwQqDT4hZk1IK58GHWp0sgvQECcj26dg4UDN9Jo1ZXDRrV8YGBcCuUKBwV3797x5CQoUMDMxoBciRD4+cBAefn+M3ZGRzf3gIPvvvs+2/wuAAYODHDW05sOoY6VG9D13+7T8G1zTZoEUYsg5zlAW5GzCIF04dFkE+8RdVCgNR8XHUNBzMFWVeCHcPDyFVp35qwj7UfVXrVPBALh5csZArGqLt/nCxiAcA6KT5sqwY6+ALx/X5ecsrQs9ThtZZQlVfkwMpplRG5gsSDgmo5cs84EumCJmd+rhxEVChrF91ZvNiWZAziYGNvK+FipMnXioyfmOlDxo1WaZTtaDnj63VuHWjTLqnNW7YOQiQKfA18LBNotzEKwcONhi8YbfSHSUJ+2YUrrhh31xgkQwCqzkoV5dLIMiFr+oFJFtUK8fN4QWkBDQnIqpzHsaBy4Pj9uSqLZW72WQ4zFedaD2jY0Da2zEumsB3AM/+6nncoIUbAg9O5c3wMQsnNvTRPzYcNpTu+Nbm9xUFdR53JCHYIWeuImsx8XTmFsu0ZKp11YAr/esc82zDMoQM0rl6cIptkPr1jG1XtRvmxQKpxlzrWnWab5kyy0tB1YwHjIZN+/UajtWPgt/Lj7iMVvgo/Nw626dajGM4v30hEGFlA4VYj3Jy6rl2MZ6dl7g9OM7HKE8HY6qwcHM8NaNuBVWaZ59XtWVMLkBBSowpEOrRFO41t0MeYwbvcyUyRCHEBOggnNnjP5EkAA/yR5mVJLD+rO0JqtKKpsbQ+/3+g8D1Ywz0M30+kfHYYEPFKO29PLqWZfN05O+uVhSXV9Yz/8BlTAAIyVZcuXkYpK9P7747Lt52o3l3yLgd3V0RzjKapVYaY0TSy78ZAV/WcfkyaAgwOVz8GsqL4UWzUrXbYKHMhRDiDMvrs5XinIImPyO80Z1/KveuENfPlfGcg4c/MWPWQv1IwH9+nKfWcTOChHZQsWpNKFClBw8eK2Y4gXxRcwAP+JxiyKUH3mFKwDOWLf/lyHNWHVqeOmaFC8f25BGB7RlO/yLHFuI5evtPgeyNSiSZsT6as9h0xt/966CQ2PapTVD4sw8vz3K00fbWgsZwzuaGjE8CFW0SLkkKboEABBFfISx0C36NC0piWyDY75u2AeG/eesvDj+Th2FgJoKL9awZzwDp/j1Y2lHSCAlhQJonTOmOgEQAAJqMIrl7HlWxsDulzhQGHzSUbRYppVVYEANiomQjmuCgCiD1VCJ+xXCcrwPRjYIZwGxEagiqlAO//tDzuU1DFYgeAgHhNV05Xlx9Sxyw0euWoDC1uqoq8BpAzt08RixdAluIMPihh1CNNwQ7/DM/La/PUWMId7M75nawswhIXg3VWbtQI6tPdtagRlGwg4XT4IvikMlGw7fY5Wp6ZprRSwTgyLDKdoZkV4mikgVAXP6II9Ry08fbEurJZuMyuL7fyxDkXJwj3HlDQo1f0BWHt9xUYTjQtgSQwXLYMCKHCmd+5EUUFVPVO28ylwAgX4pstRh2Al+KxxV+O7jkFAG5p0aKXSh2Bw1abZsg5cfJBJv7N+b/1xl278fkd5+esWC6LiTxWm4k9mz0cgJ0KzckI52BmoueSkXwj31zK9eTtUp9eA+a2GhmXJeOJxkbEi7sd6XKc4I2qRfCwn2/nAIBtXT8xlkF2uFx6y7ScO0XObJ5vAweq2b3rMgiqfAxkcvLs73kRzUSVLgSD72uY1Fv48F2JVWu5sXJJsNQF42Xk+nRanHrXQn+QOAQZgFdDx+uX6dtt4SafdyeLLP8MiPgQVyaK72LWRj2Hua0+doG9ZRKg7/+2lS6Ae90EQw8ZivyrpHHwsJsZ2MACUzin5ky5t0AXTev2bPly+zfTBhnZMjMmNeqCevP3jJqwaBYLjpOGdTLQTHARt54v5LDcCixwkF2haO0fVoraRNbNtRZD7xDbAwNGzGbQmMVVpHUAdO0Cg056jHc7zzZ5RymgonDZhF76xfZ0qjlliMY4/Chdw1p04b6KK8b7tAMIKFkJy6tp9FidNVXInnfXALt+DHX0H8+O+IpENqypzIfBzcLOEpekgC2O7iTlP6+hpOkCA/lUOxgA/MnUKQFKVsEyOOrSbgcbXF2813RP8zsTIYPy8IJB/vinREmkMxyF89g2vTXEhNW019bwvfy0xJ/g1LDtyUgtUYJV8uWl96hcRqgUI0Mgv2nuMFrEMzrJfBZ8rlBP4zcSFVzcUFPyYv5e4Lz8xwKKyvGEef+/c3IjcxsdWJZiUfbnkdzNAgV1GY3w/ed4gJ1Cg8idAGNI5rQdTUOFSfJq0/kIyjUtabJIHcBC+A2Mb9HDMKwAAcOJ2Oh29lUaZDACcvp+9sKU1ClWg0k8VoaqFylGVQmWpUqEyjoAhJ0KzcQH8tBKouQSqXz+dtl+7yQcGmsvJrQLJLE49PMXFAr5YyxZRnl05AQZoi0QkIjgAb3Bp2zGel4AKHCCE2fCQVp6xVS+koALP0pz2LEW7JOwictHYHZtdC7Hi+fpz3S0YwIu3CwMDEcwq4CsY4IJ/8rVLtDfzIh2+fc1y3qpzArBCKcTAQqMylahFxeoW3wG5HawBcj4JXgfUrc/axpr6UFGLQLf64bnuFMQsLChOIfRQRw5nin1iFk9sQ7P8xnfrTHx70E4mDm5rSdwFQVuXLAx9oQAkNGQOw6HVylI99ic7smbVUv9H//uOXqBdLNrRgdQrShDCW0LD275JTaUPAer8tDmJfmB0GjlqCfjIozo1JpVjohMggAA+iEVisXME5vML1NKO0qQDCBB0P5m/xRI+UhVNB/OG9WDeBnbtJBBoF+oVGvwFy/crfRDEa4GIQKXYM1KVUb4qVyjmsSioaEcAAcg9wH1VMpk/gsoywPvmNKZObUP5LmOJ5+qzH7bS5iRz/HdVQj/QzV6Zsdb03KiukyoaGKxHYqJBPgEInd8yK58YQADHAAjeatXEoALy+m6W3For1/XFAiu2hSVj7dFTtCjlpEljzusAIAysX8eRZgShfDtzyJ/HQIKu4Dr1YJmdwyuX9htIAHhem3KGNjLwfOFR9CJxfE4bknMxAByNWrzWAoxeY2BoBLPCcmvJuPUbTHl+cgoKJjeLpb51sixxqm94gyJlaVGHlwzqkM5KUOXpovRRw17UnFGGVOXWH/foQOZxDxBIvnWGHv7PH6pqftlX4L+epOrPVqDQYsEesFC7GAsaIUQ4epyE5kDNJVD9+uUG+bmTfGCguaAcGKh4X0g+sXLFcsoplYiDCmgKRu75wZiJEzgQLQce2pFDOFPeMYRYnf8BF8RbM618VGVzQjfePrtLX8GAr3NA/ynXL9GBaxdp17ULlM4iDPmrAGg1L1OZYirVoPDSFYyXudw/5jAxcZvFQRrX9dt2nU3XFB/q4ctWmCI3yR8jlVNy6yrlaVrvOOODpopYJIMDCE7jF261UG1UWmV+TnaRgHgdLAEUyjDnUZQCT/6NgpkwyMuh01kOk9dY8qorzBnVqaCvfu3DqA2LjvQU08yqii7SkI5jz/vAdfr76kSlxhN0iH5N67kWYnBfDl1i2USZ0JFxj52bQK8DxxsCYcXCWc60PO58GeZQWq1kUcOZnM9LtwSNQxdOUhcOU2c9kDXhGFNHudGFNuXzdKL48Hr+WIKy1CIymNpE17L4EPD+VVYCHHulZ6SFIgUw+eWafbypZwmqmZgUEOBRpuqhInwJRK469ql+n9gPIfs9Rv/rw7TwTgXvgR1MybSf+XX5EskN/bapVJFqlyhBERXKE3y37Gih4jxAqVl1JFVp3UA9hOsc2aKRrXUD1wk0PDtfBPQFgR1O+Y1YmF5f6HiwUqRf/8UDQnSWNPTPHb9V/g6qiG+4N98yJ2PREdvfoED091OBAh5pEPNHufH7PRq5Y6bFl2BcSGfqUz1K6UMAQLDg1AZac3FPVicu/nPBXlf1zD2WbNJHYAHLQnjxagQaUo+GbfJ9DHQX9z9wfz4w0Nw0DgxwGOFJIxpG0MNff2WZ6DZRwratVLhwEVNWOk032t1An7tSD3lMdEDeKnCwu9t4z4tB9YIRwQEGkSMWQSB9r2FrQ3MhTgRC7PQDe5Q8edQDFaZT1erUqko1KsW850s94xw1ROwf0ZEyWYZhN2FFswtIkGI+KfMS7WZAIPl2pjh8QNfhTDaqfgvtNQF16+v9uyy+Ha+z6EVvMb8Osag+SiKnFRqv/j8uo+RMb5hQ2QSuEnrlcKYYUycYqRJm8TlCgJy79gBtZdpYWcPM6+RkCa1ug5rlqGloFa11AP3rQnbimCqmP/aj6ARsCCydGPVheOuGFp54Vkvvfw4E/BFzHoJJCwbuEEqyfsWyjkBBN38IRF+wZHdy8jQdCJQFYH52OsFa55zM22EZCJDAwYATNcnOSjBuWFtTbgLdNZGBMbTSqgy5MkUP545QlxO27TVZCXBvnWg5UMwgwePWtDRXeV0wltvCgzzEBDPFziNOvF1bgJLpOw5ofRHcAAT0n51IXhwwyPNT0YPkOtiG9awbs0qoIkHhuMpXC+/NGX3jTIBH9f7NCX3ICRRMbtyN+tb0hqvexUKQvrrnRxN1CFaCmS1GKGlDbgBB2aeKMmG9OjUpXc+j0ffVb+Dk7fOGL8KR22nkFjBceH0NpaSlOlKOcH8CXQKl2Q9Uv4G+HtnpPx8Y2Fw1UIbmz59HV65cMWoVZI61jRo1pk6dOjmGKjUaKVbwkFX+sjMBdU+OftXzI5bBAaIPzGvzqmtwoEq93rNyLZrQsotS0w0hdu6RJIuWWzFdT0Sjgox3iTCgqoJMw25zAXDg0ZA5EPtinQB16qfj+2n1hVRHahAAR1ixMuwFWYmqFy1Jz7BtFDG5DD8PACVEg0IB/ejqr/ccLQ+gHb3WoIWyP/QjZ8TEPmRT/i6upwlULDqUQm9s2oLDRhHjZbsBBxBqes9YadKIq8CBikqBQe2Eaz4pcNSPpWXQ4dMZjlQg3kZeQiMdw5yaQUWKDKmstQzwdjqaDI7DmXpI+wiLvwSO6SKV4BiuixjmFfvkAqEJCai+25uipF7I9bO7DWHSDYUDAOFtxneXaRQ664EqtCmsKt+MiLP4XUBw1oWwhea9W6sQx/sEkHCL/V24fNsTxvY6sxDp/ATEa8UzaFepWMygHonHVes6KpTKSqBy0lZR6VS/HzkZFuaC36IcPQz74VQ8tn20SejEfl7wPCEz+qrTZ03Ryfhx3RJWARQ5YaJnp8M/t/lhcE4LGdBR0aEwBABC19BarhKn4TrCIXjPuQzLs+owXcfDPBBAdM1KWuservOIRSxct6BIQcdiAAc+kAwKGpYsSWIYadnRWHx3w0rfaP5k0zfIiT4kK/JmHd9E44+u4dPxLLuy0KPjI/tbrAR2gACWgBZlwyiEUXxqF6saEMEc41+8f43O388gHVgAMOAMCNNJ5cFGoAT4QPWbB5fIcch8YOB4iQJTgQMD9N65UlN6o34/z0Af7ltoikgAx6Mf2oz2HHNjOUDEItkpGULytFY9KKpiNU8/8j9ostYxHwQ3TsByW7fbHAx0qVnXp0hCeAkvPH6QFp5JsaUIeSwPDATBN6BakZIWHwu38xTrAYgkM6sEKErLGBhRFQCEoXUbK68tgNegNUtMHxDMkzut8f7kaBjYL4MDWSCRLQduhRsIgu/Mildy0t95Lsrie8DnKC8BFNAXHIjF8tujcKVPI+wg+6taLoteVLlsUUcBk/eDfqeYQK4AAEAASURBVFWRlXDcLtIQjqsSHGG/jqOPY7yAfjB3f4opbCw/Ji5BF0KoSR5vvgAT8KuVzPIPQb2zLHwkqEb4QxjJS3dZTH+HpFYQLgc3DtcKYKBvfJ+QRNMSj4hT8dApVA6XOidbgMCXuzYz9YENnXOyXfQiSyfSDvgR8PC1OFSxfLFshbFFW1g3Ji/YaaGlgYImZzBGfRU4UjnfA3SpcoR82CPLjwt9oeioKXa0ISQ6/GrXHlvBXtT0P8Oeo1Is6aJdxnnuf5B0+Srtu3yZUShvOIKNYaH1aFTTprb9OgEE0BhfbRGpfT6zrpL3P57XIxevUTIL05vdJIEAZ61qVaGwSqUdLXuJzNH6ZZZJXvT1APD+qX9X05zxrZMjxAEULBrQ16BjqUDBwh4DPMdV1F0xJKmbb7T8jcdV+7xhb+rNqENyWXRqE81MNQMI1AEg6BMcQ52Dokxcf7l9oLbh6Lz/2nEPUEi6dZrygUGgrnTe9JsPDPLmupMIDDCF4bU6MzNjO89s5BcH+IbIjozi5sUDgXbM9pUWio1o6vR0pvgH7TkiBW06d9ZCh1FU1+4CEKjE+Pm1i5cgX8EAOsU8ph3aYcr2LA8GoRwWgZaVqvsFCMj9i9tOAAXhYkfUByc0yzLB2+JDNGrdctO1VIEDlVOyCA7Qn5yYRwYH0JS/Mm+9KQQmNG1irgM+L5XghGNurAe8D38vAQiWs0g7OsdiO+ACQUQVWpLzkHW0A5wDhD67uPMcCOQk5jy0mSmXrjlmv3USwHTWgwldoqhXZF3LLVGF5dRRi9B41fajNH05i3QkOSdDAB/TPzpXwteKJ4FnQuVcjDo6iwaebTkiFyxMoxkgEv1XVD46Kn8CVaQw/PYmdWurpINBeP9ka4IWEECb35j5BjRgvgE84IB4zr6uY7xkRlGCr4KcUFHsC+GR+zcINwRg8Rhf5wBB56jslmLE+xOX+I2mM6sCL8jtwUs1lhcE+Que+dtftBYBXldcYr6qiFCyPxba4F3cd/4ik2+XDApkSy8sBRwUoI+4ZTNM31URFMDqHLOKWRJYaFBeZEuB/G2HP+EPLUZaEpRBS//3vTMtkYXyGhDw85KXj5M2PVBzCVS/8rV8HLbzgUEe3QU8ZB1/HG364c9t8wFVKljaE8t44JavTQ5JPIwppqsCB4tjhlJU+azMjfyUJu3bTFOOmh2UPmJ+B8OZAOu24GWaxnwGzrIswA9ZWE5Qhsozob8s02zJBZmGQdkJK5OVsVM+7mb78PXLNPfYfq2GHlkke1cPcxUxyM142akDq8wXSQkWCwbmNrllNyVIkT84KnCAD3yXeQtNGsANg/obidAwVxU4WD2iv3Ea+PjKDpQ6cKDTzNtF9zEG8vOKDqiA+jE6LpK6N6+nHVGl9dVFKhE70QkVqMNpPl1YmMmgEl6narF9TtYBFBApRkfhkCOniGPhHqusByr6GNqpKGS6nAeoj+di2pJdyrwSdiFk0dZfBXPQJbtDjo1X+kSRKirWxEXbaMmek6ZpfPF8O0ukKhUokB330YkKFODevNVW/Q4FNfDTnbtMv2H0A8tAv5B6joI56uak4H29M+2cJ5u9CiQgyMErjSLopaZerrtuPJz7pIS9SmtXTgCCbjxf9wPQy7kJ0IeKOuQGFCReSKc+zMLLiwwK5O+pCAo8loQN35kSk8qgQKYPgSr8eZOBFn+Cg5knaXzSjyZn4McVEPBr9TgJzYGaS6D65dfwcVrmA4M8uht4yOCsM3TLeOMFIPobIIRZs5XjDMckOCWtjX3P4B8CHDRn2glekCxlVceRprjIOAZBe+CGBSY6CwTYj5p20PLjeZ+5uYSw/f2xfSZtDB+f04QGMcqOHIaV18mLJa7tawkrTAABc/2MhauLDbYKsggZ++Imr1nYDTiQoxXhPGVwgI80z3OA4yrtOQTlxSO6KbVxEBw/+GmLKawp+rHLB4Dj/ii6sXmkoR4MEIhaXnlMVVZaACFVaEmxrcqBFMdzEmZS7N+XdZ0Ahrl82b29iQoh9qsCRKBMfTWgI4tc9RexqkfYH/H1Cjp+5ZaxX8W3Nw6yFTiff/NzoiUUKOoAIPRuE+Z3CwIAgS5sLqwWH77YVuuoLoMCnN8Pb/SkKqWLiqdFMijAb+MfzOIiW5VkUACwKEe14R1D8Bwbv8GisQcgeCeqOcXWqcWr5toSc1rAwm1/c+CgEqi4nZfu+cSJ5AVAAKCXqZWYC34vYsIy7ENxAwoQMKPb0nnGdxLv5i0DXjD8weSkorBWz4sb7Okf/+SMxmJYcRyX/Qfl7znqoMw6tooWpJl9zlqVCaMxDfq7pgz9+T9/UsbDTLrz51365Q+Wz+BOGv3BIg5dfGDOa1CrqFeRWOyJIlT0ySKMhhvElH6l6QkhFGnWzOz/P05Cc6DmEqh+7a9s3hzNBwZ5c909VCI462y/nEwfJ3lDlfYPbkMv1OvqmRWiFgzYPs2YITIffhyZ5YuAnfHnDtMLiYuM4zpwoMp3gEY6+ovRYYBXnOg5CBXar3o49asbYaHoZHdqGDONgSqxBLMkMzIFSDxut47+3tu+2mLhgDbp3SbtLP26AQegFfVasswYFuDg4CsjDQoAPoxytCIZHKCxnOvADhzorAfop31YVXqte5TS0RfHfS0YaxOje6zZl2oSVHk/do7FvI6KNoVjcMh9o6M58zRvgyW0jP/YsMPioJgXgECcF9YhgI2NTzDxpLFfpQHFfhT4lsjRdOyAkSw8ow85Qg/2icUuQ7abMLNiX7p1gJDN+04pcyygjV2eBTxPckheX0CBCjCrQMHKYb2U1iP4EgxYstwifE9p14b61g/XnXKu7YdgPH33XprCAIJcQKX5qG1rk1VSrsO3dWAax50ocLyPnC51c8D77512jMrJwJtY3IAC1Om3fL4pyWb8c4MMy7f8/cR3acNz7H38iDa66NQ+GrN/pTFsz4p1aWqrgca2DArEcORGJbYy5dBCSwjSMaG9Ka6q2joltgUYOHbzJB2+cZSSrh8WD2Vr/Snmw1CxYAWqUSTYAxaCimTl+NF19jgJzYGaS6D61V3TvNyfDwzy6OqLD9k/9s2ihGveH/O06DdZhIGsH6LMSRT9DTB1FTg40Ot946XFTw+c/Yl7N1oEWFgPFnV+3lKftwvUEuFGRyWwj6mUNRjj4cX7dsNWSq27L/MB53PHlVO06fIJ2pppToAk94NMlCFFylAt9tegZGUKK1lJrmK7vejEQRrDMlGLBdd2bc8R4i7Pugoc7B/6iiH4o5LskIwP+Nphzxt9qcCBSoD0BRygc2jwv19/wOKcjGMACH1ahFoi2+CYmwIBTudDgPbgvtuFT+VjqBytAXpUWWl5GyxlYY8fw3Wzy/7K6+XGUqcNlf1JxLmo6GO4HjvHDrZYDtAOOQ8+WbxD7MIT5WlsX3M4XVMFtoH8FjNX7rc4AKMenJRH9oikesFlTeFC5T7kbaecGUh2NziukZI2xPt6eeoK0/OqcjJGXTw3baf8zJt54uznFBTIv1N0jt/q5LiOfvEfMCbrhxXQ1yZsS7BYNdA1HJTHd+zgOAqeT7soRnCin9ClrUVAd+zYoYLOD8jJqjZw4c8mXw/ZpwDDys7Gk1u0oz4h9Y0ZyX4Fu3q9bFiuZcu9nLzMLoGpMQBbkUEBwo6ObzLCQy0W68nrAAQJFxNp44Wt9LuPeQjkvuy2iz9ZlJqXa0KR5SKo8BPPWqqK8ozlYC7vCNRcAtVvLl8eV8PlAwNXl8n/lcSH7Hf24+69fpxBKWpYvAZNihrtGRSUItHfANoGnt+Az0oGB2/Uiaa3Gsbyw6alSiCHADuzXV/DbGpq4OcNAJR3dqyirRnnLT07hQC1NFDsgAZ/JwMDS9OTHcGAormxC0ChX3BD6leziWvQBM3S0I0LTdQiWGXeimxr9MtXZHAwtHYofRLTkR/2LOWQerIzsgwOQHXY8vJAS/SRJfuOM9N7otE3NMrLRvc2tlUr+05eoM+XJlroRajLfRCa1K5kS/Ph/SJs5J4TF5ROxby/Twa1cQU4VKAA9JnxPVvbRi5RgQJoOcexMJOB8CHg557dpSrKih04wDgyCMR1mf1ClvVRnofK70DFxZfbYdtJmIcVoVWDqtr8FLAOrNh2hFbuPGlxcubjuQEEqCs7VwMUzHi1u/K57Dl1sckxf/nI7pZcEBCe23w7z7Da4DelsxSoQMEbjL8/shl7Z/zVrLnm52W3xLvx+sOHlJxxmVKZT9eDf/3LU52HiS7A6C3VPH5cf/Upsps8pi5aEpyiJ8Z2cDV3DhBUTsq4ZhNjW1F0tco5Bgi4H++u2mzJXoxzUilCxHOVQ0GrQAEix8Uu/cloJr+HZQqRGJYUjQZunGl8Z1QW+yFbplLCjdNG/6KvIN8Jn4K393qZASKlmNdRLQ9kJNP8k4u1gKAS0/gXY/Sg8gXKeWhCRZ4orOqGzt5JZ1SjP+nyw6uU+ot3rsrKbGfDUmEs4WdLBo68VgRRntG1y639mAtCwfu7PE6Rl/x9bnJ/+cBAviK5tC3/kGRK0bKOE4yYxMiOGLHiPWNmo2u2oTH1zR/8SUnxNOXETqPOrq5jLP4G/KCK/gJO5Sv1mvrkmMz7c7O0izIE2o1d0jBX/TPrwLQjW2lOmtVcrmoPwb/iM4WNl7qqDvbhZf8KA1puAQKu7chNi03AZ3GH/spwppN2baMvUw4YQ4vma75T1HjJlCLUQQKubrOXGIIMNHZTWXZkucjgwIlyw9sjMZoqShCOg65Rhwli1csVp2fYelCZrMgiOHbkHAtVePYqnWCc9gePQphiPy9o2y4siDpG1HAFCNAOmvHoiXNN+Rp00Xj4OFjKoIALLrH1vBxbsb7TOqgHacxRPPP+Q8p48IBSb940MtfiHoWXKknlWbbjssxJv2GFcswhn12b4t5wpk798+Mq6wHAzE+De/IqlqUMDuzuM0KavvjlchP4cwsOMDBCnC5nAv7yHWZnX8ukXO4AoOgcVYvaRta0tRDw7uToQ3agYMr6PaZQrypHY/Q7aO4ykxC6kwFtFXCUAwXgvovJCfkcnZa+5JIR+0LUt361QphDcwNXgrzYlq8DILy6Jp7S72flcMF+lfDM6+uW+H2pnJTxO+tSK5gGNg5VXkNdf9gPQIAEbD+knLBUcwPocX+afT/HaKs7r84LZxsUIlzTDf1eMF3P5gumGIoe2a/g8I2L1HG9V6CXnY1lCpEqJCmiD4l+hrAUfB/znqM/wdyjC2nnVXNgEZwshPawkiFUr0Rtn/0E+MW6++c9uvrwGl19kEEpjJok+ybwevBRaFO5pWcsWZ7hdfJimQ8Mcn7V84FBzq9htnpQ/ZD6bfiAMn7PCucm5jbAAJMPraKpp7xOSQe7T6CST3lNehBIGy351AiVBpPm2i6v2c5NzpaMyqDxfNWqu98ck+0AgT+coEEXsgMEEOwHVYugVuVr0TOMExrE/AnkAnPwWfZ3+m4mnbhzTQkWeD8jQlo7WhA890JIgAPQdWDAGEs7CJgdFs6icw+yPsyIgrGm3zDT9OQPHEIOyhFFZiYeoH+wTKy8rBvWW+mwOmbBBlp93GupUWlMeR/yEkLYgoTDSp8Aua7TthsfArkPFV3GDSiQgRP6ndmjA2UHFEBYQaKq2UeOydNz3M6JE6qTs7k8uKwZn/t8LDWroabGwZozZMoyA7zpuPnyGOI2twAkJJ9T0ozEuqp1RBnq0LSmT47Mqnlv+GSI0lIAJ+0e01cYQyM+/uT+VtoM+Otvxm836uk00ire+u4Xh/oE/gAIVBnSjcF9WIGWe2Bog2xZEVTnAiHaVyoUQOwM9h76as8h5cxh7RoWGU6lCxWgUoWesVg10Qh0IeQAQZbxFalW6qdbPyD5nADatr0w1DKmbLX9vl1niq1Rx5i/bC1Y33WY6bsoWgugaNr13FijLVZarvyAzv+W9T0X8xGJld5KnErIA8ALj0zIt+UlqEPfHppl0exHl2tKcdU6KGk+ch++bgMobLuwkxIZEFHRlUAz+nnQnMcqwVm+xcDXu2yunw8MzNcj17YADI6lp9IT//tvBrK3sxrIUYpkR2RMXKYUyZERVCeHbMnfHNtj4fqLodhU7dzsU2ViRjt/WSdkKwmfE4T4LswBLKZCbUsIV17HbmkHNmQOqa4fRCzquGq2cVjWNvEDcoi8DyOjaXiE2XlWphQdeWWU5SMXNWW2EVYQH9D1I1lCHqaxE4uscQcPPf71PrYUHLE91kFBWX/wtCUkpFxP3gb9qBHzIdBlK5bri9sqUKALzSm28xcogKAhJ0USx/FlPTtCF/rvMmOByWHaDtz4ep9xTwdO9jq7Axwsfb9/tpzNeYbsdbtS6eRFbwQk+Rr5ah0Q28NXpe/ERSZLx4px/S3Rh9AG16LrVz8bmXh1vhcAfSKFCIKsGAZYHP+VFatMPH1fnIzxLMl5TcS+8W4MK17Kk/+lBqMN/crqI0w0pxYdvnXd8q7m7WPKVaJx0TE+AwTMSY6oBGF69cB+PoEdzAPC/aojqUpNP58nX+Ial3+2AKNM/bfJSsOP86WvFr4vtm03OVqr7g/OufGcb4xriWv3Uw9vYA+MnRNrgRyaVEUhkpOXibmM+LmLS4CCL/Z/bdLgQygf3WCEJ5KQWDcQ69zBeeXZtXTrjyzAw8dJGLGGth/bbaIX8WO5vcy3GOT8iucDg5xfw2z1gIe31YzO1KMa01IEZyUvQ0ei1UCMUIRj8ssmtfcUpoV+AoeMImoxsDN9wHiLptqo/GgFWn2VY3J2wYGKqoShOCDwR5QhOTycp38faT+PTl+74ABh9aXjhiUGle18OMTOZGCkoxQNWr7QSICGa3Ri5JtiN55wexHfTDeinoDH/HbrlqY6+CB3mr3Y2KcTHGXtqRsB2+hUWIFwdowJlOnXfqFfGVXozFWW7ZcteThMOBI3qMYSODF6Ub0qZZSaXKE721U5JKnbOfsiTOsmAIFx+LIVpqRIvC6E/ArPFqJaJUow2lBBjzYUx5CV9iHjh59kFCNVZtrsCF3QyHacPt8AfxCWTrz/Mp+KZenrfZZpObDqODkjWwaVduAZAVCoE1RGOpKzTTmykh39SQ5NqrOeyFYZOwqRSFFx67SLM4YwKke/wX5QWN5uHEXRlYNNNBYcUxW8r6cf2EOr008bgi2vp6LD8GNOS1kB0aZSRZrXr49TM+VxPK/rjp2i7/amGM+ssqLNTjzjL7OcEb4EBsDvNfQbL70HfhPfdDfTbjHkz0cP0Zgdm4zREwe8aAJU8MXrzcJ88yJbC0YnzKNl7LuA4mQt6Fo+jL6KfoF3ZSw7rR5j+BXCr+C7mHeNY6qV6cxSIEYcgg/B241fNRSLqjaB2ocISFsubDcsFwAGiLL4OBQVG8Mf8wpUv/6Ym7/7yAcG/r6iLvvjwAA8vbcaZzkao+nac4k0+UiWgCe/LGSrwfSmQ6hj5QamEWVK0eTG3VhG5UhTHd2GKi4/NN0fNGlvRGHQteX7Vc7N/gQEGEcOD+erHwCfq9ulB+jsXmp8CNDOzodD7FfUOumAFj704bO/MZrJHykc+G7PPvpoZ5YDMQRSMUIRbyjyo3W+Bqgr+xvsfW+wT1YDPl5uLGXtt44GIs/FLVCS24nbMo8cx7KTqErl7JkdcAALSDRzjOVFB/74cfE+6zTlvC6W8Cf5cs0+Y9feySNyBOiMjvy4ArDR4YMfDOqTE4AR6XN2z06dT781/HR0FCKchig841nY+MIQV8K8ChRwQCDSV3y5VOhzHcuNMuPwAYOOiPY9gmrQ1NjuvnRl1BXPDzvlBItGRR9WuBXhyv0HtpYBdAkrQpPK5ahGyeLZcl4W35P4jYlhnsUpj45fQcsZsEKRHY6xT6TZqqy9ted/YCiLZN8C2SdQpv2if9nhWPQpxHG5pN85T5/u+6exG9ShwSFmC4dxMBdXMK+tF7fTxC4f5gODXLzugR4qHxgE+gpr+ufAAIfndpph1Dp5+zyN2ul9AWzoMsXkiPTazlm06kpWaFMVnQgdidp0N74GxuBsBUJwh6XTDYcrfswp5wGEW1W0IfgszGnPTNJFSvCucrSUHb4AClThWXM0iKKxDLhiSgfRvPbDFTXNu2SeavowayhZtBCd4F4Pb0RvNTeHjpR9DVR0ItHJ1k6jLAvbY9s1omEtzQDTfBZ5tyVbC9yCGBEk2dFCdGcGzWPrWXMMKw3q+aIdVvUrR0nJDjgYvXitwb92ckTGfa7395nGVHQOt7yCLHQ75Tfg7XJzKYdatQMv8vnrrAWIANV3wSrjNA69yRJbFSxgbIsrtf75pfFMqCgqYl1xXc58rhJGxfq+rjuF3PSlv2bfzjAcknVKCF/6k+vCmpB28xeP8/41BhZQGlQsR8ElWPACif4ot3XaFueusqyiPQBV8PRJRlc/d+5FUZWDjG2siAodORKRHKJUtsqLTseIIniktzcRKR9EDE8qRiHkx+XlpP1TDe086ENftPpErpKn24+TNj1QcwlUv3l64zSD5wMDzYUJ9G4RGLwf+aaJmxe1zBv7XsxpgDktPpNI7yRlWRSQPXF7N+sLQhaeD/caR6WeLuT6lBB28xOW80AOKQrN/7RWPUwRdiAwLzx+UOmn4AQmXE/oUUUPaFn9JaX/esezB6BAle3Z137d1pctFbKmSNUP5hw0+1Pj0KzWPZT5GcQIRSonZHQgCiVy6FIcxwe3GtN88rKof1eKYiEDVUWM0gJt8qGPX1RVy9N9MoBxSyHyVbOuOkkxGhSOq5y+Ve2c9skhLqF13v2y9/fu1N4XIRZ9iRpzu/ClfFwx/Cd8DRL/6X5uvI9ALjv//UfDt8DJWiDSiOyecZFGZAci5cSDKnCuOncIoiKfPScafVX/2KeySKgsj7r24n5YuDr85KXRqN41Yv3HZd3t/ZH9utJGvmWy+kDJFTbfq5wT8xbgXGceTaCPUjZ6TluleBMDhbihETklMUNY0u+OeJOgvhQ6hBqVfbwUOY+T0ByouQSq38fl9yPOIx8YiFcjF9dFYDCwdm9qWcmb3VCMVCA7JLkxU+I0mi+daAjQbpyQVacObfe7LGmXmIQMFoBd/d8wqo9moTmXXUg1trGCaEOTW3bzm5WAdy4L5otjhmbLuZj3l51l3OqvKPlOhqep6qOg6lM0S/esXIumtuttqZb+yy2Kmv+9sT9l2CuWvBKi06NOey3y6u0oEcgc3GTCXGM8nTbVqJAHKyIVBsO7tRaIgh4csRPfGObT7GXByF+ggE9CBge+Cl6io7ndPcZ4u09fpME/xvOh6dg/hjOt7F+MbXkFIUzbvu8N8zh9ZBxF1laDS7ltoLcRiaj7eK/AqnM45vMQQZEdqBRpRP+MbUl9IkJ5F6al+PvTcddNDR5tyNYC1W9b1c7XfXiHdFs6z3hfqxxq3fYpAuOc+Bq4Hc8f9cT7Yzdn0bqiAmmilVf+3mGeoh+fyt+sW/xnlHL3sueUVCFKZVaAE41ItBbI1GN/XDd/9PE4Cc2Bmkug+vXH9fd3H/nAwN9X1GV/IjCQHZDFaAUyMED3FeZ5tXiqaAeoI9KJsgsM0A803p/t3URzTqdg01NEDYoMDHQJvXjbnCydNDU56dtt28Qrp6n3Vq/gdH2oV7Ok60PMiqziq/J2pb8cz1dJldNA5M/qPnxi6NIh4XXoky5tjD7llWGzVtGO9CyQ8zjSiUQakRttNz8/kUbkJDjzNuJSpPyA7pP65uviYb+sx83+0XBo9hV4TNqcaISFdHN+Vd72+q9sfqMPVS1Z1PYcxEzCH/RuQd2b17Otn1sHxehJbqwZbp/vMh94qR66UL84R1FY9uWeicBAJYj68/q5sTy6GU/UvgfqN+BmHr7UcXt/RP8CVRQ4MWiE6n0tAgOVD58YplT1fRaBgexHqDpfERjISkRV/bzY9zgJzYGaS6D6zYv75TRmPjBwukIBOm4HDOwsBpiOCAy2dfqAgp4tbZml+PLKCTBAx6LGW9agwOwas/RbQ0v1UcPWAUuSJoZjVUWCsFyEAOwQrRZu/QycPjSYpsx7zXx9nGX2IjDQWQxEYOAkNIrx7n3JaWCZWIB2iBYDX4CBKDg7gSPV1GWLwY1x5vjkqja+7hNpYb46ePoCfJApuu2Un43pnf/iFWNdtzLws0VGdKl5Y3q6TkCn689f+0VggD6PTrfP0+IWGIgWGDtgIGqkfQEGYgScnGjx3VxHERjkBISI7xqdEsLNfHKzjtv7IwI1lT+XkyLH6dsqZjt2Aga4Pok9vT6GquslAgNZiaiqnxf7HiehOVBzCVS/eXG/nMbMBwZOVyhAx0VgIHMGfQEGlweqXyriy8sNF153mjLfUnbEQrtJ+zbTlKN7PF3AD+Hk0Pd13eVov5PTV446d9lYzJ0wNDiCxjfr6dhSBAY6iwoSHsUu/cnoSwUMxPjcOsHEF6FR1CQ/jsBADLlpxxE3LtqjFREcOTnoym35dsnxE/mqXyKzGJ2xFYDAqpOmGLvcctV5A1/usXgNKxcuQFvfHcS70S5DRn5lHHucgAEmJc5t86dDbXMtiBYnuwzQ4vW0oxKJwrIvVCI3v23jgudwRQx9rNKGu+1ejE6kc+J121du1RPvj05xgrmIwEAF1MQcNCqLgfgNUCndRGAwLqQzvVDXG44c4yPbcc/172HVU5yAQXzaJlp+do2n7uMSjejR1I3F4yQ0B2ougerXuIiP0Uo+MMijmyECA9n5WAQGXzQZRRGlaxuzTL+XSa3XeR2OdcBADKe2vuMoliZdnfnU6FhaAYVo7dlj9N2xvUaEIgj9qgy+MnjAy/S56qFKJ1tpGJ83S83xxvjPax8D1UdBdUID1841HLl1FhVReEAYw11DXrZ05cZULgo5dhYDOWKLW/6+ZVIB3CFru5348XwqYqjS7PgYoB+R6uNvwUgUYDCWrxYJ0Y/ETsONvkXh2I3VBZGJmozxKhuchG+MkZsl6s0ZRqhSJ9Di9tzd/mbE++aLFl22BgbKxwDvYTHssYqO6PZeic+/L9GX3PYfiHpu74+Y8dgJGGCe10d6v7fYFimtKquxEzBAH2KAEScfAxEYIHfBh83t8x2g/9wuj5PQHKi5BKrf3L5XbsbLBwZurlIA6uiAwe8su2GH1V7nXjkqkZtQaDIP3m3MfX6aogWA78NSJ9TimOxrgH0AEoNq1KcR9aMck6yhvpsiWkJQ361w7qZvpzqi3wbqugFcMmhSWVzQl+gQp/pYQbgQk5ypPtaIStR48iwjHrvbqEQY3w3FBPVyu4hWDbs49OK85KhEdgBJbCeuixpT7EfYxo/atqawcuXEaj6tI+TsmLXrDd8CNPZFwER9OSqREzCI+ewnI+uvnQMu+kYRoxJh24mugzq5WUT/ByTR+3a0Pl6/HJVo59jBSsdr0cJkByRlitnuF4e6zgxcZ/o/DbolgP8n0W0tITJzch2hWBi0ZokxBvqSo+247V9+9n2lurkZh4csPXvjFksMWJDCK5TJcahS0S8Cc9DdH1EJg3oyUENUvuZLvNHdRJ861BfppIiMd3KAGTh8uG8hzT2XZUFvVbIG/dDGm6cI7VHE5GYqP8KsWln/H9ccBuIcHyehOVBzCVS/4nV8XNbzgUEe3QkODJ76rydpWjuv85uY4KwAO7a443hTHgPRsUmVx0AO6ek2cg4uA9qOZFGG5DClOIZIQ4s6P68V8PEy7bp6tunDhHYo8Ev4qlV3CitVIWtHDv7LoAdd4RwnN+9FQYVL5aBn+6YyKHB7XUX/DDuLi6jpU1EARIdYzFRFPxEFHOQx2D/mBeXHVo5U40ZgtL86gTsqhlXFKG6dpEWtOtrpMtnimKqo8higHigK77ZuZQpvqGov7gOom757L005cFDc7Vn3ReiSgZ9daE10LvpoYNuJLrbv5AUaOX0tqnqKUzhQXi83l3KGZjvnaDncre7ZES1MOBdd4jgZnPsC6kT6Cr9e8AGYEBPr07PE2/IlFA/Igjzn5BG+y7NUcedNFTQbcsQsf+UxAKA9w0DAvotX6fC1m4byQpwGaH+RlcpRy+pVKKhEMfGQq3X5/ujmjnpi+FjVtRLzGMiJKa//dp/ClngDRchUXVF5h4mrEpyJeQxU33n5hD/e9RldfJAV6QjHHidKESwaI1oOyU9wJt+0/+DtfGCQRzePAwP5B95vwweU8fsvnll1rtSU3qjvzW545OZ56rLZGwVH5dgkmjnRiRutNupBsB+6caFBG8I+CLJdWHjNQXUbuw49iszHK84csYQwRX/+ymsAcDAqcZGReRJ9owTCeoCPwDu7l9DWzPSsQdh/gIJFHV7SgiReUeSqYp/O4iI6DOKa7x/6ikVYEBP3qPizEGTr/3MWH5p0WnJZWALvfNVrfZSaVKMzFysIc3nz7kO6cfdXT+16VcvY8r9ddOmpgvk+//1KOpxx22jiJrQqrkcbliX4LrOioEATvH7kACVQMjqWVqDh/2RrAm25eMl0BFFaXmkUQQ0rlLO1IEDDfObmLZpxIMlIGMU7glD5eWxHbSItXk9cisnNsN8O7Mj32YlGJCc3q1C0IC0a2/exy3yM8xatBohOtPT9/tpnTaQT2WV/FulEds+KLDj7EmpW/J3jPFDwe38vMpr6hNTP2uHyvw4QoPnkFu187g/tZI07nnNd5mDUd1MAul5fsZHO3ctKZOamDepAsTGwfh0aEdXIp9+sfH90vlgiUFO9c0UHZMzn8IA3TeGjRyfMo2WXjuMQqehEoYvH0N1//+E5PrpmGxpTv6tnnf+T/Qz6B7ehF+qZ6/C6WP7JmARf7P/aBA5k30Sxfm6sw5Ix6+hc5jPxCyWMWJMPDHLjoufSGPnAIJcutDwMgMGx9FR64n//jZ74ryc8h8UwZtgxt80HVKmgN+KQyF1UmSih8W+05FNDYO5ZsS5NbTVQHtq0jTZIUPZR0jbTficLgamyYgMfrgUnDhhOybwKrAcv1WtCcdXqOQrWvI1q6bFuJPxkEthRD9GK+gU3pAYlK/vsVyGOA0Cw4NQe+unsQeN64rhbUIC6om8BznvDcyMt5yxrr1TWAvljp7IWiLH77awFHy9PoHlJpzA9T3HSIvN64hIgYFPSaUo+e5Ue/vHfRgQbsQ7WIbTVKV+cGlQrR6UYAMkuWEDOhdgvf6Z7jP+OAgEv/vU+VLLQM55t3T+ZdtO9VhBN7R2nq67dD4Fp3OatFuGeN0CSskrPFqLyjBJxhWVyvf/nv0x0IV4PSwhbn7dtQ7F1aom7HdfFrNaorAN+vCPZ0uLkQzJ2djxtPHyONycn/r5RUbNyIv0aHT2bFQpXVaVquWJUN7hMtoAHnr/nPl1g+BrUZc/YvHf7qoZhSf/+TdET5xrPjs5q4Av9TPT18VV4Bo3ltc1r6NyD+6b5Iqlhh6rVPfsalK1Az/z1rxRUtLhnG21QMh/ep2sPH1AG+1udftpinc0JRQkgdsCS5UZWZ5zX6oEsY33xrDl4JuDyH0D5zjPnacnhVErOvGnbClaCbeevaOsApL3VqglFs0SNbrMiy/dn2wtDLQAc3yfRSvt9u84UW6OOMQ/Pt3T+ZOMay0od2XItJxGddXwTjT+a5TCsy34shiXHwE6+BhkPM2nivsn0+/9kAQ60yYvwpcdunqQj14/RzqtZdCnMA8AgPmUL1Svh9YfE/rwogaL8BKrfvLhGTmPmAwOnKxSg46qHTHQ6luMb78o4SQO2TzNmM73pEOpYuYGxjRWRfw/u49auY2wzHkO7PyqBfQz++1+mfmTTqemgjxvQmr+WsMJkiUAX0NLA/6B/nUYmTYyP3Xv4nhNYFso7//7T0hTXoGXpIGpUqipVf0QzUjlh4yOQdvc6/cqWZ+5m0vpLJ4wkZmKnAAUzWw+2vaa8vkghwj5dxmMxigjqybxgmdKioi/IVAid0ChyrjGWTkjCMblAGNtz4gKt2ZeqBQJyG9U2hLj+rcKoSe1KPgmFYnQd9AtwMOv5WAqt6AXOqvHE0KU4DvrNjL5xFkFB1VbcBwC3IDmFPtqZKO72aT07NCQMIIMCJwqRfJ/tIvLAUvDOrHjacyZL+MR4r3eOpEFtG2LVVUEf+45eoHNXb1Pyqat08uItV+1QqXHtchQdXpXqBZelymXt8yuIna7YdYw+WbzD2IXnasar3ZXPlGg1QINv+rShDqHVjLZ8RQbXK4cxeqKC0gJLUrPvvblMQFlZNKCvxcrH+1UtRY216rgv+/AufTm8EQ2PaOpLM09dPNdj4zfQstNnTG2X9OpJUUFVTfucNvCcLjtyUivoc6pQ9ZLFKZjl0ihVsIDRJd5hCWfO0d4LV5VgglsQ+jcKNbUzOhBW5Hem7v6Ifl24hlsGvGD6Fom+dji+9bmXTcfFJKKyEk5ORKqyGsCfsPf6cfTwkaCPb/7k6FdN1GHhtDyrKnBQ/MmiVL9kGLWuHE2Fn3hWbpLjbVgr0u6e94CB5BuHTcCEdw5gAEVnIMbnY7hdqmQrt23t6gWqX7sx8+pYPjDIoysvP2SyteDDhkOoZYUswR8vmfbrxhumySpPF6Xt3cwOT2IINZySHa0GgrCctAxt8PL7rFms36MJYbwZhxIt1gOMiQIgMqp+C9NLN+uIu/8quo+blhD0eRZju/oAGO+Ft6e+NSPtqnmO4Vzf277aRKVShbxDZfHDhG0V11WMDoI6Micdms5us5cYlBmdtUAWFu1oFRiHF8SO/379AZPgyI+plnAIvfrLQ7r8ywPVYWMfrAntwoLouegQqlLanUAoa8HRmRO4AS+//4/LTMIGrtG3PTpQFNNC+logdEzbs4eOX7+ptQqIfUIoqVuqBHWrW8eWdiS24euY+4zEA0YyM77fjkIkXyO7+wyBfsTXK0xAz077zsfny1uMNjZ37QHampROD37PsubwY9lZli9ekDpH1aJurUKUAr7cp0gpwjEdOJCtBqirAge4tyIdD8+JDhyIoYPRHzTs83v18OkeI1Px+J1baevVi+jC58IBQb+QBj6BEj4QLGEj16wzrAR8vy/0KLQBIJiUsFdLFwIgeLVFJIUxB2M3Bc/955sS6YeUE8rqrzVlAS0cKEZihCJ0ovI3kJ2Q5aAPsCqEzfdSd+X3uEzblX0NXts5i1ZdOWycg0qZJ1sNsgsO+CDIjNysXGOP5p4zEfgxX5YAIGl30unMnTRKuu49B7kPgJJ+tXtRbHibfCqRfHH+g7fzgUEe3TwRGEBz8OLWCYZvQdmnitLCDl7BX0yxjunKSc3ExF84DoF3bRd18h+VLwHa5FQ4Rx9OBWP/dHy/KYuy2AYv3tcatMi2kzLMu0k3ztPuzHOuBH5xbNU6pyXFVQ13ZSXAh2T4pkWUfDvT6E5HyRJD5qEyqARr+g0z2mFFFj5kvqxK6FVFqVGBgsUjutlmwIWF4JP5W7SAABz0mNCqFBbEookw7T2E+6fYkhe0P3/tNqVf+4XOXL1Fp67c1oIFgInXe0S5Agiy9hfjIVrRxz1aa/0kcJ3eW72ZVqR6/UTQDtSiCV3auqYooI1coD3+lWldky57Ne5lCxZkkVYK+CQkWvplgO+tlZtNgAZ1dI6xOCbTxAAKdPf5fOYv9MZ360z3RCdYo2+xcECwfMdJcbdlHdaA6hWK06+Mbnbtthko7j/pvV5yw4JP/ZVG9oikri1D5EOmbR2wUVkOEPq294yVBqUIHalodKIDP+rY+RvI0XtQXxUtDPvtSuIFJoDdvumhCF1hFKPDt65brLgAAWHFs4Ir1C5egmoUK0HRlYOzBQgAgCZsS7BYCUCJ+7pzrKvnFr+pncyhWAcIcN2aVy5PrWtUzRYAx/WCFWHVkVQlQED/X3Zvbws25Puj8s2SLTcylVPMQYM5yVHl4lZ/ZXxrZCv9b8yKHRc/gc7/luUziPbytxv7REdkbLsBB3f/vEdzjs6n1F9Oo4myACRUKFCOij5ZmMoVKMv8BKuY6qGPO3/c9ey7+jCDrjzIoNt/3rHtk3cgAxBRnuF18moZqLkEqt+8uk524+YDA7urE8Bj4kM269gqWpC2xRhNDFEqchVRQU6YgqRfXddPN6g0eDkd6PW+hcuOtvJLDvvAfZ/TnnFJi5TAZq4UaNXh1/DNsT2WDyAmAJDii8OzatIYI+XGRZ+AAgBVob8+QXWKlGEapioUVb6GqmvlPlVUJh0okDVV4AZv6MciCDFeMS+yX4GKQiQ7o6qSM/kKCiBs/bgpiWZvTeFTMZZcy98xoka2suEi6k3i8Qu0ZI9aoBwWE07Pt2toAhjG4MIKoiq9vnirScgLK1uMJj7X2hbs/HzwCL0Zv13oKUvwcxIwTA1yYSM78/QVFAyZsszg6OOUEIFodNdmttcefgNLtxyhzcxCIBcI841qlaewGmUJ/gN1GGB0KvuPXfD4ISQkn6Mrt8zAAW1hQRjerTHFNNb/Dn0BByo6mgo4iZQizAPUrQXP91QCSBm8oz6Sn02M7WD6PWO/rwUWhVLPFMxxP+K4iG726c5dFisBcnWMbNbEcSwAgoXsd/TtnkOGlVLs31frgNhWt243ppP1QLa4ysoVjCnTOeX8D3HLZhjKHplSJCfdlB2RkXfouc2TDWs//A12dxvPvs9ZfoX8nLMDDtAWwv22CzvpEKP4wAk4kKVhqTCqXiSYQkrWtVCGRHkmkHNw0zfm8r8mdHZT1ac6/+e9x8fB2qeJZ6NyPjDIxkXzRxP+Q9p+OZk+TvrB6FKMRCQnM5MdjmVQgE5UOQvsrATvNmmnBBHGhAK4AuFdTqImDgfBunf1MGpRsXq2aUZif3z9MAMMYin19LOuLAJiG74OK8G0QzssVpCeLJrThJZdLNcWloKxOzYbgAgfmpXPDTQcDdGvDApUDo6y8DIkvA590qUNn5ZnKYertNMgowFCQX66ZIdJYMR+WAfeeS6KImv7Tr1Be7lAmNvExtL5K0BIdQIfcEh+Zd56U7QinN9LUaHUO5I5tv/tL/Kwnm1Qr4YtZM6fUpQUCDRDGodnW7upHMyHnXYaWDvLBjThn63bTTvSvY6+dvf5p81J9OWafaaZOYUlBSCYvXo/qbT8AAQDO4S7pv+YBhY27KwQAAhj+kdT43rq5w/P0/iFW03O03hmp7zUyWKFUgFlla+K/Puy01CrKDn4zWbHyVy4JH5b5f4xC48eszjQg2LjJj8HrAxrj57KVUAgXwD8RlQUI1C+utQKpnfasXw5bF0sOPe+8xeZaH+yrw/qiOFL5Xcyvp9iXgNZ4SNTioYGR9D4Zj2NacjhS8MLV6DpLYZTyafM/gAyOEAY0xdqx1Fc1SijL7sVlVOwXX2nY6AJ1SxSnUJL1aPgwlWMICmqdlyeUR3L7X35wCDnVzwfGOT8GmarBzy8u1IP0egdkw3nIzGesUrTsLHTOONlItOHMAmZ44h9KisBXnzTWvWgqIrVUOWxKPFpx+iLpASLkzKfXKBAAu/f1yUHBKsvpBpCPu9DjmCB/fj4fL5rmyXe+M+de5kSHcmgAG3FRD34OMq0GFmjCU715PjdpuhDdsIi/Aj+uSzRxDXHuLAQjI6LpO7N62EzIEUHRjAYhLtRnRpTmwZZ0VrkCajOE3UQgvX1to2UDqY4jmuo4u7jGIQMhEnsElJT6XiKOv4sELim7zhAq1PTLBpYzGVibCuKrafWmKtoVTrLCahDH8/bYrnHdnkAtu4/TTNX7tdq8/u1D6M2TJsvUshyem0AEL75OVFplQA1aViXxlprxMRF2yzWKNX5yeAAc57QJYp6RdY1TV8GBzioc+zHfRy+bIVJAEV9AIRBIfVoQIP6jk6zqO/PAsCyNS2NZh85puxWpT2XK/LnU8f3h0JiZAsWQEJwJJb78Pe2LgQqfi8q3yGcQ+tZc0xWEtkhGXSuPixBHC8yOJC/ozI4EClF6EMGB5MPraKpp7ysAFgOlrYdQ0HPmoMnyOAAfYFaPLbBYKpdzEwFwjFVgbMwfATOMh+BX/64Q5cfXjWFOVW1ATWo2BNFqHzBsh7aUdkCpW2BgNxHPjCQr8h/9nY+MMij+4cfUsi3fQxQgGl80WQURZSuTTIowDHRcUkFCmRnY2g5xmxfaZhA0QcKePyft+jqSgMPygsPkZfKOLCXH9yj5Fs3sjqS/oMOU4nRkiLLVaAyBQpSNcaB5eH2pKq2m3gBLzyTogUIaJyXIAFRluYe229yLuYnpANcoAS8uXmt5drJIfJkTiz6FR0BIdDKjrRylB2dJl1FmYAfwFcrEk2aVn4ubmk9vH5Olpy+tGzvSYu1Av06AQRYRiZtPmCiFqEdYvePionQRi5CONO/r99usR6gLQquba+wWlS/IuPnKqLTZNXy/T8ElZRL1xwjuIxrH60cF5SYtxmV6gLLGyEWnO9XAzparCUqKwFA3/u9WihBlxMgcKL3iHPK7rqdlcIOIKjAQfuwqjSuX4wJwKjAARL9jYltZrp+clQrnA+ei0nd2lruDcC/LpEd2oFi1IM5ofsa7Qdt3RYOBladPmsShMX2oCV+ENPKNhQpLGvz9h9R8vvRV14AAvEc7MA9LGxj2W9HBCvwBRqylEXHu+8NEwtwMDmuo3EdZL8vGRzIkeZEcIAAGMO3zTX8DTBXgIN3IzoZVmMxIzKOAxyMb9jbEl1QdkhGXZSGxWvQoJodXQOErFbe/wALAA1FmM+Bv6MH5QMD73X+f2EtHxjk0V3ED6nyl14eHI9C5CsogE/BZ427UmzVMONMZO0GDuiEVqMRWwEQSDh/lvZcvWQRYsV6vqzz+NyIzR1WppzrpgA2q88epXVMI5/+8J62HXwkOjHaTsPSFQNmAYF1IOX6Ja1FA9f2lXpNqV/dCOMjwCcsU4ewHyBqTtxzJuAkgwJoGsU44ioKjGwpUDlYqjTIEMSXs3CPMqUEc/PFERj1/Vkwr70nL9KChMMWzTbGsQMIAEQztyWZrCR8bhD4hrduqM17AICwgoVZlJ2TeXssoY1swehGjVlm1mos3KLbCCtoy4HAQZb1ddeFK1oggroQuLqG1lL2DwvJ9wlJNC3xCKoaBdagt5iFRNZ466wEuMcfDGhjSQoGYfzj7zcrLQQQxmOb1rLl+xsT8uOKHUDo0aI2DY5rRMULm/NZqKxQKmqRzlflm4EdTc8Kno+Xl2+wWHR01gMIoVNZpms5BKh4WSCcR1ao4JgkT2wjrwOIpLGx4PieevMmbb94SQsG8D7pWqMajWra1CQwy31CG//1jn3KkKP4DbzMIgL1iwi1UHbkfsRtANk0ZrH6lSk2UA6c99LejrLEhZWKFKCC7BluVKWs53h45TL0DKMCVmUhTZ2KDiBgru+1bkJ92Fx5wfX6jDldixYU+T2bE3AAamzfDd+ZwAH81sRkmLLPIOamCmWKBGiTkudT0i2rczEAQvuKjY2ohfz88mJ58UEmXbx/jQY16ZwflSgvbkCAxswHBgG6sE7disBABAXv7J1HKXe9qc9FS4HMZQQoWNVxJAU9itGvioqDeej47nhR7ryQRlvOp9GOKxctlBinc8jO8R5BNagxAwn1y5Y3CcZ2fbkFCegDFpE6RUtRgb/8jRqUqejxHYADn9uCawjtT/K1Syw6w3U6+kumFpjYAQL0MzFxGy1niYjEgvOfEBNrOPlBaJQpCPLHSiWYyLxz2Z8AY6qi9UBomrZuvykaDepCcHLjRwBBDfHq01mUITHSjI5/XrNSVoKkAk/+jYIrFPM4prpJbGUXJhVz7dakFvVgFCeZxgIhZNrWgybOPc4PxQkg4F4gMdN3e1Nshfes3rz/wT+vWNj7jD1gAMcpsZO3dZYDdN/w2rYCFzTcXzKriGwlUN1jHfDTUcPshG877bx4DlhPPZMl8B0/lUG/sfCl6RdvylU820GVStDTzDehRLECnr+K5YvRU8yCYVfsrBgqgKADRXKOBoDpsUu3WXxVZL8DCKAyhQ/zBTj/ewcWSU0RihPP05oTJ+mbAyxJ4r/MuWLkcwVQQAFY4KVGiazfzmmWPVssAAFHr98wab/F4+I6tOK9Q+pSXJ3axjtHPI51/tzrEpL5AghwPVMuZNKZzNt0kv2JGcvlcd1sQ7HRmAGGBgwsBJUqagJsYnsAmn9s2GH53cF36LOubU1gSKWEmd65k2HJUYGDb1kCtKjKQZ4hVZaDme36eqzwbsCB7HOATuF38EGDnhRawkwXQhjziclzjYiF4jmDYhRdJozqFgvyWBGeepQoVazjz3WAlVu/36Xjt9PpyO00OnPvssF4uPD64+OYGyjrRaD69ec98ldf+cDAX1fSx37wkHX8cTQ1LxPC4uO3U9KHBldtSh9H9iO8bEZKWX5lUIAU7hNY9mIxWZnOSgChdcGRZJp38qipvuoUoPFHpB5OESpdoJCqGgvZyJKDMbrRvquX6SLT8MuZPVWNML8W5StRmyrBFM6AghsB3heQII4Jsy/OQ1UO377meB3EdujrxXqRynwPAFsLjybTtykHLH1ObtGO+oTUN7pSRQiRua8qKoPoaAxN+bhl2yyCsBzfXydoQ1gcwqIB6RJaIXLM7iPn6cylWz4lrjJOUrNSmwGG6hWLU2i1shQZUtki4PNmunnjOJ+7CiDoBGm0A+VmUNMQalajEjaVhVMpnDT8ysYudnILRPfQ2lqHZ9zb+MNnaAnLVC0DAlgJvuwdYzkH0IZ+YBGlHrAQoWJRWQkuZPxCX/+8U+lU7AYQHDx8no6nZtDO/Wl07YY1qpA4vtN6gaf/StWrMvohAw0xUTUJYEFV7ADCKz0jTU7QAEhTV+22+B0gLOuHA9sYjsmwxHy4fButPn7eNKQKSKpAOhoBqA9mzusqgIDj8B1aevw4bWFa/UAXUJbaBrN3anmWcVzD/QfQQbjRLafTtZYyAF6nrMO4dkcuXqPtqRdoz7kMy3Pq73OF/1D7OlWob5N6SpAgh5vF+BzYDGe5D3hRRZMSIzPJ4ADtxPe3DA7wLZvXob8n1LYKHCD09ZzWgw0l3pGb52nM3rmmUKYYA9aD4XUREMT8rUKQkjmpa5UAAe1QABTCi1enkGLBVJzRhdz6JGS1zvrPhf9bLIzpjd/v0Ln7jE7Mlqfve5WVYn2+ng8M+JX4f2OZDwzy6D6K6FOlQeCgAJGHhjLuYvqvd4yZiqAAQv47O1bR1gzzRw2a8+ntepuoLaAKzT2SZNFiGx2zlexSf8Q++DrGS864TBvOnXFFTQLFJqpcJWoNoFCmvFbDxfsHSEjOvESbLp62nD+v468lXvxdGGWpW/VQZZ4FO0AgU4dQd+TylRYhAVrD6T26ec4bWrwRi5hfQqZZ6yqGJFVRISAw/oM5UvLMrvAj+GHjQYtwhOuiC1HJwYC/Ele5uQdtGwZR87AqWpAADfDSnUeV58EBQruGNSz0GDjofseoN/eYkCgXXKu+jGakEzJ4fdyLNKYJTbp0VZuZldfVLTkQABXJyWcB93V1ymmLoMr7RibjF1s1NHHhdZYglZXALgIQANvr/aKVDr63WeK6AyksT8jBdEo6eoVPJyDLMiULUnTjYC1ImB9/kOZtYABISqzGoyQNiI0w5qWiFuGg7EejcubGMyJHutJZD9AnNNQ9GdjTOYzjt59y5SodvHyF9ly6bHFWRh++Frw3apcoQTXZX3RwVdv3JoDNttPnlM7ufFwOCHTnAMCaeOoibU09b1FI8D7kJTT/5ZlQX6O0F/CBMoRynb2jMu89pGvMZ+YqW4JepPq9qvp8vlkoNWcAX4xCBlA/fuNOCx1K9g1RBXoQ/Q5U4GBo7VD6JKajZyoyOMBOnudApczDcdEXEHkOxu1bYEqChjrwPXgnJI5iK7PfuAQQYEH46dR6JcUIbVUFeRGeYX0+wywKVQuV8wj7vzJfA7Fk/n7bFnSIdeV1AJJdL86hMxfP22ZtltsylEsEAABAAElEQVQFaluUrfw5RqD69ecc/dVXPjDw15X0sR/+kKlAwefMIal39ShCwq5RiYuMHAUYQuQsJl46S6MSlls10yx7cd863g8jXnBf7E/UavHxsotgGvvsJsxxc+qeD+K1K5TEgMI6BhTcWBQAUpqWq0itqlRz9E/AizgNQIFRgK7+eo+u/MoSBfloCRDPg1OSahQtSdWKlNTmeQAwm35gjyXaEO8LCXPEzKSq0IaoK0YIQSbRsfEJJk4zBMuf+nf1aCR1Gk58fEV+tJ32+MWOjUy5CEAn2bj3lKsstlzbX6poAQphGn+5lGCc4Zt3shxjf2Oaa1CPUA6dvqrUTsvt7UCCHdBBPwA7Q9pHmAACrtfifceUmnc+Nq5dj/o1KapmJaUmktfjSwiHaTfNccMz7z9k3Oi/ev54veASRV3xsUHBWJtyhjaeOK/VuqqcqWFR+eCnLRZqGMaXBV9o0Kct2UWqxGS6nAG/s/t3kIGBTSyZmRswAIEef5wuxK+DvDx38RZl3nxAp8+Zga9cD9voL7Z1HYprF2qiHOF8ViYcVQIEOcQpnhtVwj7Q0j4Z1Mb4LQCU/WPNLss9UEW60lkPMGcI1y81Cafo6lW0WnvU40BBpAvtu6zWzhZkfgK1mPCPgiR61ZhDfFDxLLqRZ6fmHwTl1SzU6LxDJ0zvFLE63i8I+TmwcajFqRr1OBhYfuiUIz0I16pp1bJUnYGAYJb4MLSiOfKOOK7dOmiBKReu0WlGSUpk4XjtwILKuoN8IBO27bWcM3xDuJ/E4atX6dU18SZaFqic70c3p771wz1+d4NYtCLREo/v0sIeAzwATOXPhzw8PAz4uN3LaE7aQdNp4hs+uXkvw3qwK+MkvbrnRyPXAa8MgDCyZgz1YbKADBCg2T+QeZx2XzvmE0jgfWd3iciJ1Z+tQMEMYIDCVKlQGWadeJa4PJPdfv3ZLlBzCVS//jx3f/WVDwz8dSV97AcP2Wurp5lCmKEL7lOw6NQ+GrN/palXHgINQvBnezdZYueD4jK5ZTdDiLUDBNCAvxzeyCS0mgaTNvABg6ObXSnFohHpTNdyOwjUKRlX6CD7S7x60RVQQMr6dlWr+eSfwAGDPD62ASLgh8BLqacLuaIzYe47z6fTfgZyZB8C3hfA1shGzNHvkX8DtM6qbKOihkqniYQWclrvOI+AiY/lCz/GWz6SInUIwqIq/CiEIDn8J6gZ8XtSbQV2COq+JK7i10C3BIXlWFoGHT6dQQdSr1i0vrwdtL8xbOxmoVUsMeydAAIi0fRpEWoIfLxPUIwSmKZTpo3w41hyugJ4zaGVWGZnTU4EsU121t2AAZ1Vw45iJYMjJwFaFWUI/gJbdqbSmi0nbE+tYUh5ahYRRHVYYjMd/ce2A3YQlohb7G9f8nlbWhLoRi0ig6l/j8ZUjIFSXnB+89YdpB/XW5PygRL1/tC2xB2UkWRv7NzNFqoVnpfXukd5ACUHkipLkwqcAcjrMgBjjtBUN6lcLldD4CLqlRtnd1CgdHQ2X8AAfF0aVi7rGljze+fL0s3vRQYIeO++u2qzxXoA4MYTG+LbNjZ+g8VZnCeqw/tejionWoFVCjrxW6xS8OG8ZevBzOObLPIA6gEg9Ge04rgqEZbwpjiOAifgE4z7f+5+BqXcOpNt7X9Wb1kRkLAeymhJJZ8q4qEmVSpUWmsReJyE5kDNJVD98mv+OC3zgUEe3Q08ZGJ2Pvz4Ede41FOF6bOD6yxaBp6jAOEyX0tgYdekSD1i7Hw7QABtxwthERRbo47yzKFBQZQLrrVKYU5uTo5zckdBhVjo0mcLUflCBZlmq5An8oYTaEBIz0MMJEDYduMIDWATVryUx/ehOguNGlysuCGEy/Pxx7YbWhTmNLB2CPUPbWDMBR+maXv2mCJh8Pk4WQlQj1OHIKyoItJA080z/kJAUnGq0Q+cLjkXH/X2Hb2gjVGP+nZaexz3Z+HUJZUmm48DDXCrBlWpe+tQQ8jDMQCETUmnlbx6HAefvH+rMGpSu5LJj8GOv492YhFpEKA/lCr0jCurgtgHAB0oE3DKPMX+nOgSEEC7MQsGp4TxvkCL0UVtgh+BaAmyAwScctOtVYhxXWAd2L77FC1ec0jrMwDhvFNMXapbqyzVrl7WpMHnc8zp8hJzbN+aeMoWJHRuU4faRNeiWmwOvNjlQHi+YzgN7BThOVdcFzkhGvrglDT+O8Ezoot0pQIIdhF9+BwhkNYrXZxqlSpODSqWI7cWJd5eXsIakMnmeebGLUq9fot2nL9i0ZDLbQBUhkUya0a1yhZrllswAMDaiXH9W9aqbPFzkcfDNoAsL0fOedf5PiyDyjDrGusXBUEFqjBrg67AsgO/hnnM/0ZVZICgssKinZg5WeXzBevB/F49KJhZZkatW05bmRKLF7zv32MWYfiNgdYqhwf3HG/Y2mO9h4Lqvd1Ladml47y5Zwnfg6+a96awkpU82zd+v0czjm2guef2mOrxjSpPF6WO5cNsQQKvy/0FsA2HYbtSpRD7LTOqka9+CaBDIZJiXHiz/KhEdhf4P+xYPjDIoxsmAgMOCp5mZjo5FjL8CebFDPG8OCbt20xTjppfGKJmAsL1+J1bTS8vfnrQtr/auLmJkgNNyc60c3SKRbnwF9+Vj6dbinxYO+c4LojDmVl8Gev6xX4RLGAbIVJR3IZJxfX7lV0T7kiN3A1Hb113tGZgXNn6YgcIRCuBnUZrdr/OHrM+hEpV3HqRa67jUctOp6u2H6Xpy/cptfScTmLnDAxN8s3bD+n8JRaZSIo6I1JNuDOp5wawf6G1y3tW69bM0iyrotBwwLKLObVuTtJ/yEBl6tM2zOSPgLYIwapyvMXAEPrahQXRc9EhFoGDCxnZcZ4EaECoRVVxEv7lNtxSIfs84NwQxlUVTQp9yHQY1NdRbFSAAIL4qg2Hace+NHr4m9UXA2NAEI9sWJUimB+IrlxiDup/MM7/BfZc/M76OXf+Bv3267+M6iEhFY11rJQoUZCKM8BXkd3PJzVRifjcdJYLWCzasbClLZvVNPoGLe7LhTstzvI495E9IqlryxBPXR0NS/bLwO9PF+lKBRB8dVwHWEBUK48i5VmvJcQ4IWFlHwt5i3Lp7gOfI2fpqE1uwQCnCNmBAVxTCP6ZjEp47ZcHdOLKLYt1Rjgdx1W8v6qXK07B7HdWhQEHGSzYWXf+L3vfAV7FkWxdG96udw02xiabjEDknDEiC4zIOedoojE5mGCiTcbknHMUBhElMhJBZAEiZ7AxyX7efbvrv8+IHvX09IQr3Sv0/qf+PmlST3dPz9yZOlWnqmT/ECuLLGhUPDEaQs322844/I+N+Xq4Emf43p0m2iiPNEd/+F1pyRejAoIJMO70LgM9GJNQNb0f9SlczTVAwDkcJFTKWECzJMh0I9TxZoHDNHwTrj6/T8cfX6Pbb57pztP/GZIUlcibc/2u20oCBu/oDgAYfPJdM8qaLJWWHh3CaL2dsw0vDM5FpN//aNJGYNjiC2feySM06lgodhuKChC4SYJjaETYgFCb4m/vCXtiVuMabQPWhYCsmalUpsyWnFmNh/vWP8FbORYwLyhnmOAv8kdjrsb5P8BAXRZ6FI7SPIwdzrIDBNA+9SxVkloWL0r0O9EqxoEdzTiwcuFaLKI/KK0E+EBPalpV4+7CKXfqxjA6EhUjMPC2ICyK4UftormAbtG0WhETXYc7m0ZevEdRN55YapF5n54swRv3z56GCrG+VTQUDhLsaE6catSQWRGyfRqrXbRyxOXjgxWhTpm8VC5/NoMvAo7zcIvhN+/b0o14W/FdAlgE5stOFZhvgxy3HULWzpNXaPeZ60rhiltDeGZoO0CAccphPRFVaFPwaUvfgdwsSlCjWkWpZNHsJsvAs2cv6RJ7Ls6dv0PR1x9TVJRRkIrLvPj7p6UcfmmpYAEW35/Rk0SwAGvG9t1nac3WCCV4wfPUtE4xDSBw0GkFgjkArsqyNmPOrAClTL2zi3SF+2jlCAt+/9GbLBCDFEggLnPk9hxumbBydvcEDCAKUO2i/qbnE2PhQCDi6j3TO8jtWD2pxwF+QIFsVCZfNv1UTwACfENUiQ3FENCqqEX49s1r1IBOP7xDgw+GGL4b+B4sY1nsoYRSRQhEvp0x5WpquXYQDnvg4XW096FZ+QGAMPGzJlqYbVwcNPLBN8Np/uV9uhCuX7S0AgVjYRb2NG/KjJQhWUrK9VGMNQ3Zld2ABgj+KA9/eU4P3/xEr1jfl57fo7MsfPrzf/4q9WbcTAIGxvn4376VBAxs7uDZM2do6bKl9PLlS9q/by+lTPkxVahYkdq2aUuFi8QmFLNpwvIQgMH204c1pB/KnIw7MSdjsTTKUoDGfdaYQpmDcad9G8VDhmRl0KyPCg0xRf2RAQE0IVvOX6RlkeccqUGiVj99ihgNVpGM7pKTgYqEAjrSKxa7+yKzRnhCR4LwXClrFiqdORMVZ+H2VM514Hxee/ZUD48aV+FeG6gH/7gzdN08TEPzidHpzy4coQgIkv31rwTKQd9Nu0waPzFqhpWVACZyZGdlP1zLJGWi0yloOpNXhiqTVkFQlIVqTuM4c+GuK8dQD6bPtirnjxfMGwMURA45KCIhxy7TtrBLyutAwyorAhes1x25aNm3HUjASZ5SgCw7YgfcUJI4NWrz0UtKh2K07wllCPVlQAC60KI1Ry2BHqwD9T4vYvAZ+JUJ5uEsGtHRY1fp9Knb9FqwBKAPXxQAhXLl/Cl//kyUhz0XvNiNn1Od6tYorPkhQPC3crgWQ7KinhUNT55vO4DAKTYtyhU0CdJQGoD7f4XRfi4y2s8+RvvxRuEWh3yMnpSbJd8rmoXR3RRhSjnodXIg5pYrFRjAPMF6dfBctDJjut314Lf2gWQZKp4rI0XdY5Za9nyh3GO+JneYpcFtgW9IxYI5dKqgW4AAzcycsBM07cgpQ1ei9UAVKALv8omB1ShXulQmvwM01Jf57fUvX0VJLcJxBLWYWLGeRjU98/gWjTyxzZAQDXVQ4E9Y36+YbkHAPlB2tt84STvvnnEECagvF1gYsjBFJMr+x1fkw/HaTgIG8Zq+RHdyEjCwuCXz58+jMaNHUfYcOah8+QDKnTsPXblymZYsXqSdMXzE19S5cxeLs513AxhcuXlT6U8Ap6QWecrSnFNhJuoQtxLQ73+gOScP01QWL18s0Fxw3iP2Q1CfduiIKTSmeA6crCCI+7OEOm4BgHi+m3XuvAzAcP/lCwq7dccQCcKqDTdAAeeKYOH+q5d0l/XhNp+C3Dccy7IyDQ/P3ZCL+TDIQIDTsEKuXbPMOKoCBKqsovgY8SydVrxmCBw8bj0cKCeuDzN9QCHA9G0YoJnb7ZJWwX+gZ7MA4g6ZsAzsO3SZgvddsBQWxTmCJjk9o4HkYBQQFNCDrAqSXaHwhFci3cjqHOxHH59XzkelmLZaBAlO/gjcilCjbB495CaEmd2Mm7983xnTnIljgOBSggkqRfwyUMHsGXTuvVgH67hHj9ifWMTMrrlYIibOlUYduyyuGNs5ZhkIO3+TTjCrj51QBKdikQoFJ+6N+84qowyhXxEQ8OhCVoBApXEXwUDowSg06ViSJ3+PcuVKS8nYMkf2tJb1IyNv05s3LPeJS0tDhgwp6LPy/lS5cn7KwvJfoIDWtmz9MUuLBwAOd1S28z8QHZQBzKZtClMKveLvC/3bAQQc5wI2nNitcmaAdnSVRaR68CJWGL7PQnbeFbbRVhkW5lYs/gwApGe+Ln4sMpFV4UAA1i+nqD58rCowAKtkJKMHbTt2SZmRXO4f8wT6T3IGAgrniPkdyRQg+Rx5G78L9AtaEoDDZUZ3s/ttcEsCj0hm5ZOFfvAu5SGdrZQ03HrAjLbK0NIdCxekQVUqK7/B+H5MC6zD/N5SKb/hGAN8AlsUKKmFEw+OPkOTzoQYQpKjDgpYA01zlmD5fvLoVgTs5yABGn1vC/lo36ogEVsKZpkonTYn5Ur5qeYTCYsE5Jl79x9anZag+301Fl+1m6CT47KzJGBgMVEcGKxavUYDBrwarAi1awdpmwcOhpGfX0w2RH7c7RIPWeFZAwzaAvgTTChdj5kAM5ioQxD4J7AwpEE5C1LYzevUY/c2gykT/YLrODigSow2wgEQwCrQuEABZdxraLYQtx0ObShWvFZouGV+Nf+AZWCOx7A2wFFTpb1Cu5oGjcX0PnH3TpyAAoAMnMKghbcrAA2PXsWEz7Sql5NZAJzagdUlgo13beR5EwdVbBf0qBaFCmqUIW4hUAECnKN/gNgXCCE1VZFQeHbbJyzOt4o2JHKi3Sat4oKiUxhKCIzFCmTS+OVpWCSYuEaeEecHVombdxg/lfkpuLFMcB65SGmB4LCHRVRateuMpRUBlJEWNYpQNUYZ4RmSuRXBip4jjpMDBfCb06ZMrgEu3o5Yz5N19H/9wY/0iHGwwxn94jzjYNsVbtGoXtxfvwanSFIyILCj4GBuGwQxutBb3wFPwACEdb+cjPpTMDPlYz4kXGC3ux7VMfR5m4UvhW/CuXN3HC0S6Ldho5JUktGNUqX6kJz8EESAYAeYxXnDfZq/84SSHgPBt3bpvMQpXLAqbT91xdIRll8zj9wTnxCevC3VEuNwG94T59uBASgfzjBfjb1no20FcrTDfydOgBp141Pwm3djrcD94U74VooWjAP+IYNqfaZZdlSJJGGJ4ZGL4Jj85e49huHjPb+4cQPGu/8HySFNURHWg24lP6Nrzx/TyCM/UMQzo+AMetGAEpX1RJkACIOObzHQicUOwSKoljkfFU2bzQASUAdOy4/ePKdTT67TfUYDusf+RB8AsR27dU5HQh1Qkj5gMkmxNH4aFQkAwKokJqHZV2PxZrvXr19n/lev2fszJyVLlsxqWrX9vC6v5OYcXjeuyyRgYDFzAAarV6+i0NBDphoVWIzjG9HRFB+rAR6yf41qrrfNMyNGMC59v8PB+n6sABRsqdtR0y4MCgk2OePiOE/ZDvPnsJC9Sm08XmTdSjHtAwMzorAOrUkES97kNqqFYXAuNxByE851eZgJNhfTdqmiccQFKKB7XBeiIJXJnFmL760BEg9Cp6ouQbRwXGJ0qEgWnen6ixeqqvo+WF4aFshPAX45tH12UUrEj46V5hEf7hF1mMM4iwO+ZHc4LWQZbeXCk5T98t//pKXbTyi1x2LSKlgHVm48butoCm19+VJ+VLpYdiUQAL/82VMWYvLpS3rCYtGL5fGTmDlKmyY2QzaoICipUn+gCXJifaxjTBdY6NKj4dEUwQRDKwdY1FU5wfIcDHZRjSD0iVYEtAXh7xDT1LsRflAfBSAsP7MsQBsKrahTAUUCGk9PKBLgtlctnINqlMytO1tCKIJDsRWdiltK2tYupVmCMKdbd52lHXvPK+cTgKBN4zJ6VB84Dm/bFkFhoVGWNCFYA4oWy0Jly+SivMw3BEK5Vbl84bbVIW3/+++/R5mzWVsULl+6RxcYne3IkShbq0JQrUJUtUoBjWrELV9Wfgh4djq3rqD5S1hR7DCPrT8vqmdQtrLO4SJwn1pXKUIctEFLvZNlql546KwpD4JqMvD7zsxyfpTK/imjphitTKiP+P8q61RcE4KhTSswwIXu0yxfgBNo5tr5okywlqN9oQ9YZ5DHJPLqfUIek6g7T+kBe1/cZe8LNwUWHJQM7PnyYxmwc2RMpVv/+Pl8vHaUJtFHxA4g8CAO15j1RkXx5D5fj5gluv16FhFQ+g7AMRl+Y0P2BpvCV4vfZpXvAa5HBRCsLAj8+rkloTiLZuSXMh3frVzyyEHKg293uvVDQHVQoF6zKEtRzx+ynEHP6S4DJAc7jUqyGNhN8Ntjb968oblz59D0aVO1Pdu3B1vS0lG3R48vNBq73HR8ZE+5LdV2EjBQzYrDPm8DA2gChpSsTQMObDVl8OXUoVVnT9EsRhuSHWW5VuIR84MYs3e/kjIEwXlgQHkKyp9XvzI4YG06e5E2XTI7QOmVfLwCi0N+xostyczkudJ+YjKLxxUoiMPmztI8dKp4TFzn4Vmx79bPL0wvf7EuX+c0p0CG+sWMo5jbxcdPKznEAAT9K5fVMqNCwzdu+yFTwiAxmsaxCzdp7LqDJudTaOm+ahRDG4LAOHPDMT4sfSk6WXJAYBXdhXOzqwbkMYABCIwnT7D42G8jzJxi/PL4FE41QYSabNlSaxFpZAGT+zlYCbXoH5YMOTMuhAW3VoSyhbJrAjS/Fk6XOHWNhepllJ6XbznP/LgvlxC0yjAtZ7GcGakQo16ItAsn6pRsFXG6zxCOuf8ANPUHDlygjRtO0oMHatCL+xVQwZ/KsCzExRkFTSy//vIbXTp/m25FP6LIUze0Q6ePRYtVHNeTf/g3ypk3AyVP/jfKnis9Zc2RjvIWyEJ/Z8CBFwDRA/sv0q5dkZbjLMYAS/36JbQx2jkq4zlvVre4niwN1pdJK9jvyyKDMg/naufQzgVlTmPBuDmNx5PswPx6vbmEX0tpBjyQbKxI1vSGMLv8mXdDEeJgtTxz+i3AaHZiATAHCEACw8vM8iPPpVg3Pus8sSLymhTIGUv1w+8eDuRWfjkiQMB9mbDjsCljM1fCFGZzpPI94IqcnOw7NWHfflP4aVjgkbX+NFPs2VnzkzPrtioHEeZFBgjXnz+iZZeO0FYW4vQn5ghsV+C0nP/jDJrTsT8DCjnZX7K/xP6G7M5VHUPfMcL/I3rABP8LPz2g2wwEXH/9k6o6/fnr1UnAQDkzsTvBNun7ZR/6+fnP9Px5zDzaAYMRI4Zr1PXKVapS+/YsMmWRokxxE0pdu3bWGpXZLLE9xX8tCRh4OIePHz2i4ogqw4rdTXVqFhaDigu+psZ+xTXqUIddqwy5CTh1KBf7gcvJVdA2HGG/rhBIoMDMPnyUppwwZldEHbysOpQobtBgbzl7ibZeuuYY6xovQoTQg0PbB4wDjz9o+q3KVUY7esWyweIPjnUoZx48cexHbA9c+yIZ0mh8WlWMbwAFJFk7eeeu5tQc10hIYp+ergNk1fLPRSWZTwa3DKANjG3libMUzIBW9M9mzZgICKC9+jb4sDLqDY+//ZRp3FRJyiCE9KpdhhqUL0hWWk9PAIFKAx/BQoUeO37NVnvs6bzZ1bfTRCNyzjFmSbACNGiX+yMgZCWPSMP593vZtVgJKpgn5EYILJPHENUIbXKhCUDhAdO+O1F+cI7bAlCXm/2lZ9piREYSgQDa4GDAbuxyJCmnCEO4z5xvzwXtdetOWFoHKlT0p2osX4EIBu7cfEwnj16hG1cf0rUrLCTl3eduL9njekXL5KBCzGIlAwUA1f37L9DO4Ejl2EEzats2gAWJyEduAQJ45G7Du8KCsPrAWSXFCBfJaUaiJh2WhLO3Hmhx9y+yHBZn7sdkAvd4UlycwIGAKjkfBGi3/izoitPYZLCK39bRyBuuM5m7GHacqvDEiyLIB4DbfvyS8v5wZQqADay0I7aGmRJFgl70TaMq9JC9z9us3GL6fiFrcpeAUsxnI5q6b9thCOQBRdHsOrUIYbid/P+Qj2haxEGTIhATIQME7EOStL13LroCCajPC5gIWZKn5Ju2SzvB3/ZEdjAJGDjNELH3Uhv6kGUsHzt2HOX2z6mdYCdDQkZEmTt3PtUMiqGvY7t37160edNGqt+gIU2fPgO7vF6SgIGHU7pmzRoa0L8fAcUtXbrMw7Njq3O+GsyLMnUIuQnmVW+uZdcddyzUYCUAYEDM/C4lyylfTugBWvKRgVU0R2LEbg5lGmy7zJw4B1QfgIASSLrDtCIi1QjH41rQ/7UnPzIHO+ZA9uiZ5lTnSTQOblUABalYlk9NVgXw/vESv/KEJfhhlJ+XLBKSNwEDwFW+NGkoD/vLxRz9xChJfG43MMuL1TWJgIBHzBi/2+gwjrnl8dDTf5icFu86SapIOjzaEGhDM9eEmWL9izQIhENdvekErdoSYbp1stYUFQAG9jDaiVsnU5wDLS0vadOlIJE+9IZpkxHGkhdPLA0Q7goXyWLQUrv1iahcNidVq5hX58xDGEIytzUhZ0xx7fnYsORUnMK5PqWC7I87Zot14JgKPw8xQROnCon1sC5TjZC8KQ2jjsggAHUxxvPXHtDhszconFForCgXfIycLoQ5sUtIJt9nThcK3hGJbk2Fc/crVcqvhwoFGNi/+wwdZhp7T4FA+kwpKd2nsULJm1csBvpFdXIr02CkHRUC81PpgLxUooy/Zk3gvhBLl4YprQhxBQhWEYzE3xb8TPAsWP1OMXRuRbCi20BzDUrQ1Uc/0okbMQ76OO8go/JYFU494sdBQUJB0j0rB3cOcA9GRiuFZd4WltxyJUb54ccBVmEV2B8Rbfl88rpaW4ySlYcFJwAdKB3zTQIdKBlTavCSnzn4iwVWB7FE32N5UpgvUhQDgheZFcKp8KhkCEGL4uQjgiAN+D1OZgoaOUkaLLb9A0tRzSK5aMjWEJNVnUePS8YUWV02bDL5m3HH5GssL06fkG2mPDjcORmhTe0AAr71bXIXo5b5S+kJM3FtoPLsv3uJdty+YKnBRz1fFg44yqbLQcmZH8LAag2TLAYOEw6lctp0MbQvLvS7AQayL6u3ZFC74SYBA7vZkY7BCaRhg/ra3o2bNrtyPOYPgNSUtllv4RTacPOS4VCH3EVpUJkaSr4iQpBOCGTI8T9/oIHBO00CMDQWCKUGyhA02NtZ/OxZLBzbcyacqwocX6vl9lNmwER9fLxeM23XGya44APmpiRnL0s416H4MYCR7L2/KE9DNI5Tt+9rYOHQzbtKLbvyRLYTIAZOzojMUTRzBlP2TpzHfQRes2sHaFAVAIm8TOCXS4nMGQkmXxEE8DqY19CoG7T7SrQlGEBdfDyQXTSoYG7igEDlWMxN2IhasiwkXJmgC1pIHm3IKjY7OPRfNCmv5UewcjZVCYp22ld+zTxs5PuMhpEtaxrbhFT8HNUSmmrNyfTmU0JUmqtXHyu1vuK5sCbUDCpkiEbDueR2UZRwrcjQK1KjoOlE2FM3wg2sCSVYiEwAhexMqBHzJIjji8u6yME+eCraUfCRs1BzupBVQjI5whD4+itWHCIrcAaefp06xXXnYU/AAKcCQbufOu1H7C8FpWL+JalSx/qYWM0R+vmFAUhQkX5hEYpAR3KiIqG/gKr5qVT5PFS8tL/WNEDt5s3hyuvzBCB0alGOagUW1jjyVv46HCDAygTw6ERj4dcObXVl5jeCKD0yFYfX8cYSAjGP5OOGEmdFEeKAGskGT1y6a2l142OGYF48D6PCsd+LSPPhx+O7BHAAWDjDfJHskh/id1uHAUhOAbMDCFzRcu3JT0pKJ7ceXGXfqh4bfzB9R7n1YO6RYzQyNMxwieK32C7H0LAKVbWId3YAAQ0jzGlj/8JUNF0WA0hAToRHb36miMc3Nb7/eUb5ifjJGlwaBumwgWAoRT75lDKxnAgZmdXBP2V6Sp+MBRxgLAa5cEWnvP9dbPtqLN5sl8uFdsAAFgaEyZctBvXq1mHvugia9O1katasmU+mOAkYuJxWOIK0atlCuyHyjXLZhKEaHox/Demg7+PUofTvpzRFOMAxHoIUL6GZjDb0E9OMi+VLljir+2dlmSD/D5p98AQtPn1BPKyvQ2BtUiQvVfDPbrAKgO+OkItRzNTtbXM3XrB5GMcVPNec6T42xffG4KB9P82coBEJCVGQrDTw+oUIK9DKl8/GYp1bWBWEqh6v8nCCiD3ulKQI4whiYKtlqcLa3NoBAu5H0LFScU27NXzZHlP0D3y0eZIyfBhV2VzxIfy6c6DmnLdm8wllAigZEIQeZL4lm07aOnWCSoJoMzzyi2riZAdTLuChLigg7yd7j5ycTAEWeKKss2duK7W/vG+u0RbHxCPSWAnJOBdUIzlRF6dDuBHMef+c4wwNKAQgsYgaUFH7CWEGDpjXWBSmV7/+RsdZUjA3BX3VKs8i3wgRlZzoQjx6E88CbHefOeCqXbuY5kQMf4HwY1G0efVhW60+rACfsTCy2fyYPwALR2rnQOzmOlV18FxdjLzlCBQwlhrMXyCofmnNimAHgGSAYGVNA6jq0KysligNAM4KIGDcYhQjbINmtOPEZWWoUxwXC4BCBvYcwYEd1iSEt/UEMEDgfczG94hZsODc7gndDbH/4c8iJ/jD9YIitOPQJUewyml45RjfX3z2xWuERQu/T2RKx99j5nz8SHJAfvD4peYvxM9Lx95nadkfSrYsDJAz52MxXDGvx+l2VhY2GcBhvlTvWFhJhjapqEWYWngggmRrrhvrwZzmtVnUu5fUe1uwyTcNFueJQTWJ/vg7qQKH4Ho65CtM3UuVi4kmyChGS88dNykM+XVjCUbBZxmyUeWs/lQkXWbxkL7OAQN2cEdh/aDFSnEW7QjFjX/C9Z+eaO1GPLjNAMnPtKxV90RlMRADu1hcrse7vUmXcgMMDh0KoxbNm2kh8/t/NYBy5srFAkRs1RyXEUZ/7Zp1ugXC44txOCEJGDhMEA57GxSgTREY4Ic+uVJ9xv2/YMpLAF+C7wJrMysBKVO1c9pQzlSpLTPpor/2RfNT69KFdSoOeO5hl2+RU7IbnOuLIoIF2SmO9xcfqwL3V/iQWTDyMooUCg+hytsXl9xHAvsQnekuiyXuJlMp+qmbNydVyZ2DAnLFvFgxt8EsOonKQoD2eZIyaOXGrNijNPH3rVOGGjI/ApTlO07Skp3miEQ9G5WhVkElCQLjjIUHlDkIurQspztaQlC0ol6gH4ABRJyRs85Cs3uLOR/fvP6QosEvv/SAXr+0d4ZDe3LJlY9Zdz74m84dz8IES1mzDKBwEom0jlxVaoB5m7BiNGhQ0jBW0Gqcwq+qfCogEJ1jNImz7M9K0OD9+moJQaZU3kxUJDeL9CI4RsM6cOL0DVq77ZTy/mI8skMxEpFZ3WcOrjhd6NnTF7R2yQEK23vB8p7ivhUqnp0qVy9iAgK/vmHZURlN5RajQj158BM9YlYZlGssI/LrF79q61b/ipaPoX0UKpmLUqdPSVmZAiFzdnNIxIjjUbSPPf+hIWplB6wIn9cvTrUaltGeJ7cAgVteVP4rAAhDetXQojY5AQRYdBpXK6wLyPhd87CabrT2qvmBlVAsnkS1Es/DOrcKIJyomC0YxzyxosGvpUJRlkxMeD7RBgrmEpHFzjHrFIR/t/lKYs52/g/QC9CA3ClybhMA8YVbj1uCbhHAwQdBFcwB8z28VTV6/Y9/0OD1+0x+INx6cPBqNI3bd9RgPeB5aGoVyqP094P1ABnvu5Yrw/zu7inpRZgBESAgxPb2q5G0Kuq0wfdQnikoDYukykD5P0lHuT9Ja7IoyPU92X7DIg9dYwDg4esX9ODVC7r04yPmgMysE1LYVbT553GL/k8AA7v58ySPgxtggL4ADnr26KE7K2NfsWLFac6cuT4DBegjCRhgFmyKL0ABusODkXXCV1QrW17qVrQCfbFjoykMKc+iaGWq1F82TNOuCrOGF1brYszp8K0GG/0evnKLtp6+onR8xXFVwUsRJeNHH1AGxsu0Kpwre4c5zt5kmixPCig15XLERM8omi29160KnozFqS63UIhgAOc4xTPnjsXJ//oXy6zF0Ob1acD4rx8l15xQR8zbbTLj84RMf/jP7zR3WSjtP3rNNGTR2dQOEHBBUdTCozEIYydY0rMzzPHXU265aTA2Ozg1JH+RbDp/nFfnIMFN1ByRCgMhxSlhmyqqEe83oYAC7qN/5tSk0roC5CB8q+reYpwYf1CV/DroA+d+x/ZTZOVQzIEUnHJRAPa2s0hWwRvDtW35H9fGV2TUGhG83bnxkG4xHvyFiOt0/fJduhp5Rz41XtvJU/ydin6WmwoUz0n5ivgZgAK3auwJPmVJOQpqWIIqf16E8uTPQnYAAfPRrVs1Pcyp1e9IDOuK5wJUtOU/nDb9JnHRnMbCaUZ8IqCtRlhcN3kr+DnxWULIhSUCQCB7hlTau0Rsz62/AAer5VmOizKFsul5NNAWLAEAApHMAuYUYljs21vr3Dom5jZxAnBQpIBihGIV/nl404paYAcr6wGSTOZI/zEN2hJismqD4jqhXiCjsf5mq8RDEtHgKxdo0vEwk/8BxiYCBGyH3b5Km6LO0oEHNwz+hjimKhwspGBRifIywMBL8QxZ+Kq2hLZfLBD8XzAw8OIf/60U/sW68vr/FWDgifAvz5G47QYY7AwO1iIQwToQFFSLSpQowSz9mzTH45QpPya3dHaxX7frScDAZqbsQMF3332rnfnVV/1tWrA+hAcDD9l15qDUYft6wwsCP+xldZpoEYe6b9xs8iXQzZOs+fG7Qk3OUQAEPcoVoxYlC2v8eztKizhCUYtvRfkR6zuto9/rzE+BJ905z6JxuAUMMOEGMEBSItunzLlODRTQf3ysCk7j58cBBAqmT61ZHioxCpacbRQRLpYcPmvSMvHzOSBIy5K9WWmsoNUb06aaRifAB27sohCTBgwf6tFdqlPpgtloR8hZWrDqiClGvQgIwL3+/vs9SnqOzCvHWEP3RtLxsEt0+kS0pfaYX5O45JYAcR/Wnfjicn1sIxpN2QrMybRsboNAyqPRHD4UpbwenMuFX9Higey4e0Iv2eZtgJDdtE4xkyYSbfLCOc6PGehAXPbXv7DoWw5OkRD8eSmWO6PmfAknTPgrqBKl8QhMdrQoLhBxuhDA0+rVRywjSMFBvFWr8poAjLEA8G1Ze8Ty3oiCNR/7syfPKfwQC2u6eB89ZEnpErJwoFC6UkGqUL2E3jW3dFgBG1xH03aVHC0I+B106lRFc7a2y6SMee/fvbpGa4FFwC6nBAYJK8Ln5fJov1V90G9XRBpQBEtyF1drAOhIHzAqTHGWrTsdU6wgCZ8VHYlTb+wiXWF4nCIEqhzeM2LB83n+0n0KZRHLQAFyWzB3yVn4WZ4pHeelSfWB9sfbQMJDZEdH4VnSo6KfmN5vvL64RMCBsiVyaPQv7LcDcJxiBEsr7oMq8puT9YBbfHecu6S0Hsxq+LlmPXai/SL5JfwPVGHIcR3wKWxfpAQFZIsNEwwKz4FbUbTz1mWPhXe06c3CAQisFTMat/s/YTFIKGAA2bNsmdKapUB2PobsiTwI7dp3oNGjx3jzluptJQEDfSqMKyIowA2oV7eeocLo0aPoQxa6Mq6RiQAM5uwNocEHQwxaAFCHVjVspYXlbLVuo8GXgIdDQ5jMNSfPml5KGCAcigfXqKBx3O2SuqAuhO9a+bNTi3IFlRp61BELXqRWBREeoOV2KhwswJ8h/OZ9FlnpvilknFUbAC6IxIEoHEj+Y1UAFuA0zelBoAa9FBywbz9/aXB2ht8Fz+Cs5TuAZeRt5uYizLlZVWB5OXCJcYov3FCOn/sQBBXx12KHIzqIU9Zi9LMi+KQyJ0G7mkWpda2S9Cv7eH47e7fJVA8efY/2FTXqA4ToeXP3Kqk4EBS7dK2qO5pCwNqx8Rj9sDnCFgxAg5wzN9NAsljz+QpldfQdEOcMfTxjic+ePsbfzxp33A0dCYAjkHHgZZDAw6laRdfhsfdFKwKParRhx2m6wgQOqwKQgEzPBZnjcX5G61Hxm63O9XQ/pwlB62plGUCb8BGpWCannn8A+6AN37vvPFnNgQz8APqWzd2jtP7AatO4Dctz8parj/ZBETq4K5xCNh9zZRUALQiUIJSsiDGf7O/aeh5GO5EL2r4d/ZA9Cz/R04fP6QbLG3GNJTNzAh0ACQEs+Vjt5hV1SwKsCMGbj9P6ZYdMz698XVYWBDwv7TsEMK1cMW2oAAizFh9UPici8EZl5EFwinglO4/L8yFui+9YZMhOzt7REPjF4uZdy4Gsk7Mu2uWOw6qwvQADew5ecmUVwG/HP3saKsQAcbbMqSg186GI7++H+ykAOEQzIG4HmtE//EO4FYEDOJWFB9c8rGOgBtI3sRwIM7YfM+Quge/B+LaBGvVKZT2AhXtO25r0+x9+p/6bQ0y0U57RHtQkVaAQhL3+JrCqFvIagTJWRUZYAgREMWqRtxC1KFScACZ44VQfaP6h7Y/8kSkaX/3MD3ttCapzir/+jcqmz0oZPkhB6ZOnMPk2cEWn1zqNR0O+Gos320VbKFbOx6K1QE6yiyA4lSoGaOdfibrmmDlZq+jhvyRgYDFhPFasxWFtd3xCluLB+He/7obmYUIcU7UmTdp3wJSXAL4E8xo10Jx0v2FWAtk5F1ptnr7dCRBAwK5fLA99XjjmQy4OAi9TxLrGRwnaLJQj7MPttkDznZF9EDKwJeK0w6kOznUI06jSkqJdjPfMrYcUwcL2HYm+79qqwIECsoYWzoroROoISG7HblePJywCmNl6PiaZk6o+Phh9Wai78izKEMaD+Zyx5bAy/CjPWox5wYd81PwQUyhAfMD6tqig8ZetrATwI2hWvxSBTrJmzRHmlGQOhyprjiEo2lEycG1W2nvVdcdlHwDDpXO3XVkpOEioyLjcPPmVmwRdnCrFOfUYpxuqEb8eCBv4K5wvk+YMmYY921mYQ6SnhQs45y/f1wScqBtPHLWusiYUfVoJtzjGAVHz5uV0h2IIzbu2RigBAcBem67VdAoXBPbwIxfo+IFzFMoAlFVJz5xCc7Js1iq6j9U5bvZzf4ULp69T5ImrtoAEY2jYvgpVrFGC/p7sbwwwxzhPq8APAEKPgXWoQtUYGgmodTNmhJgiYon0IowXdK5Fa44q75Pou4O64Opv3HeWnDTy+D1XLJZDC9+JaFeqsLhoz5OCvnmmYViz3Di4Yxxwblf5C7hx6Mf48LtAksHs7F64AdF4dsXCM6enSfMhpX7rcIzjVhnS+blOljU52ALewSo/LVgPujO/lHqVCmnhZ/vP22HKVwJq57AWVVnI7Z9owNq9pm/T4OqlCAEk5oWdoNH7jvIhaktY7rn1QJX3AJVg/e9TvlxMaPG3AGHVpUgDg0Br7O2/hn65qUGeAgYrgngcYOH0wzsU9WNsqOijD2+JVZTrmZiwnzH5R9oxTjlKxyIQpUse4wiuPOntTgCb3NmzJiqLgbc0++J1JyQw4BGJrKwCTsBCHHdc1pOAgcWsAbE9eGitIcdpGdJnMCSesGhKuVsGBvOrsw9XtpzUfMVqU1xkpFyH41LwuSvUhYVNkwvCpnHakEq7gfrQYDcvkYealy1oyH7JgcAZJpj6mgML03cJZvYG97UgSzLjBBQQIek4AwtuEwLx5D4ZmMYfIVPtwqXKcyhuc6sGKFDwm4hkFKif2cfFrtQtkJ1alitksGSoNFFoA6bqzjVLaWZ/Nx8tCJVT5oSYtMow0XdvW1ETVPHRHTZsvaOwg4gvc6fssIw8I8eLV13zZRa5BDzzX17HOCBHnryqqkY5WPjCZMn/Tu+zrLZZGRjFUuVcyk8GzeXC2Zu2MfO5TwKnifBzcf12GnTUgxa9apUCOq0G+yAE7Q27HCd6BM5HAWiQixiBBbQLt9QL3NPPSvoZaE1OMfsBCJo0KUW1mHXl729jxWMuZ3+3XQkIAPiqMe04F5QhkAevD6P1C/ZYOgxDEP+semGqHFTK9h5iHi4zat0vr3+lm1HW/gfZ/DNTlpyZKFXaj+Wp07c5UNi3/YQlUIEVoXEnFqK5cYAOEOwsCAPHNNHCnNqBaJFehMEAIExbsN9Ea5EFUD5wWBEQ5tMurCavC+EU8f5BNUNJy5QpaRn4tCqIcIVIV48Ype0Bo5G5AQG8LW65UOXp4NYrOyd3tKN6Pnn7fAmLJcISP3nyUgtL/OgRc161yKzNz1EtAdQKFc5C2bOlobzMCiFnSOdWQKuAA7g/CFncvEEpLfEhKEaq/C+Yl0Htq2rfI4SMnrrtmGE4UHZN6VpLy3vw9cZ9JsUQ3v2jGlZhIcJfKq0HfRitt39ggBZCW5U1GZ3x3AfcIgAfhA2Xzpv8DvnAQOOpy0BCPQYSkA8hoQqcoq89e0pRz57QsXt36MzTRxrj4U+TZycBAw9ugpNgP3/+PBrDWClwNN6ydZuhZTHJbkTEaZ84IScBA8OUJ9wGBwb4gW9u3FpD5jIoAHVoRZOGmjZBpZHgzk5IRgaNtiqaAqe0NC1T0KBRh8l6zcGzrkLribMCE+tL9nHyRuGxvVXZX8X2Iagjc2gEE9Q9AQq8DVgWUBAy9QMGkOTyign9lxkIQXEDAvj5aLdq3uwUkCerAWxhbp1C46ENaPq+WRhi4qrjQ9WzWYCmTQStYfC4LQahBB88HnMd7SxatN9kJYCw2KtXoJYBFnWgUV006wels6mVoynO4/zym2wc3nA2hSCXs0BmjXYC51IV1QT9uomlr+LDx9WKoF0rE7Z4ZJVT5++6FuZxblwLtK6gLpVhHOl8/gw8vRXs0R78B7Yzh2KnLL+iTwWsMFPHblT6EAD01WlSVnPM5eNdv3i3JSDg1J1SFVkG5HL5+SmGJUDAhYgrdO4YS4B2m0UwYZYQT0uxygUoR76slIY5yuYtlpuy+JkFHYAEUJus/BwAXNr0rqX7IWAeEG1J5YOAeeg9uIFmecIcT5kcbKLdyfQiCKFu84Pw6wfoR3I9RLtysiTwc7y5hFUAuQXg1yI7D6MfJ8Gaj4VbrjhFh+/nS8whQg4fPXaVTp+6bVJO8HrxXcL655czrSkjN9rlVg6nCFOoq8oFA4A2pW8dzTIL2ueXc3cYwkfjuzezW21NmaPKmgyl1MzWNbVv7BxmPZjG8geJhVOLkBTtzL17ytCmYu4Dfi4E8dknjtDW61cMlGN+nC/hj5AvdRrKnYol4mR/fp+k5ofivIT/41UGAK6wv4tPn1iCFHSQBAw8m2YnYCAK/8NHfE3Nm7fQKENnz5xhfgWjtLD58WGsOI02CRg4zZCPjuPBWMlCURXNEKNtlEEBqEOrWzXXOIXDt+4x5CXg4dGaMedilHXHztO3IScMWm0Agpjsjf46IMCHajcL17Z83xnDS0++RLwEyzCtNiJbcKc2N7xWzo/lmWERXxuZYd1QkdBndSYoIlNoQZYEyMlfARGAuEbfLluofG3x2eaRkyrlzaakLuH65+88obxeHn6UW0nwcRq/7KBhOGJOAhxAXoJ5K48Y6sCXYGCP6pqVAB/k0aM2mvIRNG1WiiU+Kadrj9evOKjkYENzXK9pOT1RFO8IQpgbSgmvH99lhVpFNVpKifL5WXKs2Ey5vF0eIUkl5KGOrAHn53ErQlholKWworIi8POhRb3JLAo3mcPt2YsxQMGt5p+3IS4B6PzZ/eO0JKsY7Rj3lq3hllmoQQsLDGTOuG8jDKEPAL+1yw7QuiWHxC61ddERlx8M3R1Oy6bvUPL6g5p/RlZgQAQCp/af5815dZme8dTLM8tEqcrFKI+C7ojISNtXH6RglnNBLgAI/ce31QEnAObqxftNoU5heeLWA7Rh5agv04sgTFvlQEA7YuhYbIsFDsDQ9p+6co8uM436y7fOtmKduK7j3ZEh9Qea5QGOw1YO7mjfiYqDOgCsdg75PBhA5NnbpvcPzrcqmM9kLL+Jqrx585vrtgDc5MSHaBO/2ZUbjyt9EVrUK65bD6yUMjwENL6VKgropHbVtZwHoL/2XL7TYM3GN3dtt/qav94ZFimwzcothrCmoPsubFFHD14RfOESTQw7pMx9wOlFfJ5A1wm9eY323LhGGxlIcFPgrwjfgA+ZgjEvAwt25T7Lw3D35Qutyt57ztQjua0kYCDPiHkbQn3t2kHmA2yPSshHqNIRI4bTjeho7RxYD5DYDAX1J4yf4BNrAdpPAgaYhXdQAAzAg0MmXTmtOjcr0u9ELZdsMDg2ARRs7thEe7lAk95nxU6SBWNosqe1itFe4NLwkrMKz4bjHAgg6U0hJpTDH8DbBUIz/BZOXbtHbmJ7c9pR+QLZLCNtiGPkQOEK0/y/ZNcrz4lY1+065hHOzk4+DIg09P2O40qwxSNccKBjFXFINGdD+Phq5HqT8yM+bJ1aBWjDV/Gk8bH85pvGOlUGtKFvWTtyuFFYCLp/VdsECCIYv/zEQebQqhC45DnLVSgz+eXJxLS8RioIrADcqRTncJrRo7s/KoVQVbuB9cuQCiTYOZqiHc6Z5xQZ3jan4tgldVP5IvDzxSXuDbSToHQAMPACx8jXTDhH8WPZoZMxDSQKlm4dMe3CyqItKxBjBfzgl9H1y1oGCwFoYN8OXqq8FwAETTvXMIGzZ8xJ+MD2w7Rr9X7XFgEI9+mzpKGCZfLRjUu36c3LN7gEvVxllLHXz4379IPCSvKUySigTmmqUo9FVpJAAqxZa+fvUj6vAJu9R7TU6EVozuq3IFoP8Jwg5OvChaHCCGJWZXoRF0BVGmqcAcpNdQbcePQoU4NsB94FNxhQEKlBqKeKeMUpR7ydDKk+JD/m62IX5YrXxdINGODUGzFbuNgGBwN2kcF4fa7dz8FylWTLlpr5DXyoBzzgdeyWAMc3bz2hc+fuOFohADYCqxfUncfRLn6nKvolAE+vjpWoJAvBijJn/SFTjhhEExvXo5ZGLcK7fcCS3Vpd/g9KnjaBJbSM9pODD9Py8Mv8kLac2aya5r+HpJ3y9xsVvguqRFypB4F/9uGjJp9C1BP9D7DNC87ZwahGa5kvQsTTWF8CftzXSzhDZ/3gIyqTMTP5M8CBHEolcudOohI5TDwC2ly/dk1ZK1ny5OTnFxt9SqwEQBF19SpTbr3S6OtIdGZVVzwvPutJwCA+sxePcwEMDpyJpLrLVxkiDwEUfFPzc83JWH6pIHrOt/UDNVAA6lDTOZuVVoImZQroI0M2zsFLQ5T0HwjfLSsX0TQg+gkJtAKg4Da2NwcuFQuyUJaMcsC17k5DhVbnEftDBCRkhOaFgwe+DeEfJT3zTUjHIislZ07DOdLagyOALSQxsgIEmNuuTOspJhSCxlDOS4AP/oBWFakqy3CLAqFz6IStBhoLPthD+3yuf8ymT99pikYDLfLwEQ11K8Hi2T8otccdGL1IjD6DPu20xzjOKSXZGNUlKwNLVvQf1LUrEORuM18WOJdGX75Hpw/Za74Q6aZltyBlf3ZRdgAQ+o9kAInFspcLhJtt2yIsw3uivpUALrfljW1YfQ7sv2iZfwBgD/4DlSrnM3GsreaAR+NpzJ4rXqBlnzdpg3LOrQABrANbl+6i0M1GzjVvky9BBQIAgN9AKhYIQEUF4nXF5a9vfmXPwz2NivSE+fGcOXTeFngAbLTt35Qq1CwrNkMAOyvnBJuuDc9tj69Z/bdhTq2sKrL1wC29CIPgAMEqWg4EUTHfhGHgPt7g/jM79p43UBHlbmHlAJWNC8vicQ6Wdu2KtPUTwHMaUIFlS2c0QZHaJrYVn3VOVwoJOWeiffF2ZesO9gMQqZI/4po7t66gUfcQ+OHLqdsMFhxYYCb1rq1ZXlQhphE4YnDzKlrXKr8+7pQMcDBxd5jB4o+TRGoRtq8/fUpj9u43hSbHMSuAgGMACdcY5Sfi/h26xCg/kYzzH/1W84/j8S2wOmT+8CPN4lD808xaCHXuByG2zRWd4r53te6rsfiq3Xc1T3b9JgEDu9nx4TE8ZB/06e8RKFjZrhGjBf1VS6TVaUmwARSA4zi+cRVdoIXg+s2qvSYfAk7ZaVyhkKNlAC9MlEjGkYWGFBEv7AqSNcFxDlqs/MzB2G158jPLPBv9gA6ei3ZlTUCkCE9BgtuxONXDWDeERtKGoxeVYEt0LOZt4V58v+4QbWTRUMQCDvCEXrX1yCQqfwJoHr/+qo72AcNHeuCAlSZze+8+TNh/G2oRws83Q1aaOOag2/Qd2tCQG8BOWMQ47Sgl4nXEZ51bKcJY0iirTLl2AAGa4JUL95muF2OCNrhjr5qGa+ZjdWtFqFGjkFIo5+3EdekUchVCDjI7i3Qh3pedH0GTJzAgFQAAQABJREFUduWpaZtKeuQmnLNzQxgtmbLNNL9W8wpAsHL6BrKiCuUqlp0Kl81H+Vkwg+LlY+iMfGzxXQIoXDp1hXavP0hXT6mjfwGItOzdyGRBsLKG4Dnu0Le+wXqgcsAHaBbBlBW9SAbhuGZoqOGkbOe8a0cziu+88fM5GHDKNQBKYiNmVbHzG7DLj4H+8IyWK+dPJUv5eWQN4GON6xIgAdnRrRIfylRK3BsV/Qtz8B1TIMCvB9abQTO2G/y9oLSZN6SxBg7gd9B+ygbDO18EB/A76Llmj+GSkO/g64aVtX0IHDI4eL8ttQgVrehFOIYQpwMDWFjh/HmxaVk4WEAFAAYUkSqk7RD+wTfhA+briAILQHK2nu4DpiRzEZGIN5OYhGZfjcVX7fI5TEzLJGDwju4GHrL/6dpT793OUtC+aH4aU7eaVlf1AuLaCd6YlZWgY9Wi1I5pz6w07hBg4SznFJeb9+O0hNYldxaWgZPFgy+YM4b36nQOjuMlfOTCTdp/NtoUPk4+H4I4Evw4OTDL53m6jTndceKyCWjxdlSAAMfAZR0wfbspDCnnsvLzIVSMnmqMOAVBom/XQK2KChTAXD9yVCP9oww+9eQxGwwRh2RtKBqDD8GiqZuVFAwIi9XqlaYSzNkUYSATsjiBBCtBFmO0AwgqK4l4XW6sCJjrwkWyaBpRVYQUsT3VOqgRF1is/sjI25YaT5znZK2wog2pQBDu8/TRK00RfWQePh8vNPgLJ62i4CV7+S59CUpPzVaVqVZLluTLJpKQfoKw8nzidPrt+ClK0acL/b1COeGI/SrGEx52ljYtDFaChAqMctZnbGf2nMbkTEBruGZEWFr07VZD46C+9fumjSGiEuZyEQtbKhaRWoT9XGMu04ugIR88mNHxWKAAuUBLvSn4tCnXCK/HHc69kSuD+8G4STwGQfhzZnkqVTS7ZX4B/luwyo+B34GnYBnKitvs3XQr+hH9wvwIUJ48/JkesRwWvKRLn5LSpI8Jl4k8KSgqix+vz5cY76pVh03+OBjngAG1dVol6kPxMm7GLoM1VgQHqDNp6V6DAkcGB6OW7zF8k0RwoLLii+AA+XVUOQ9EahHGgOINgBDTkm//ayCEWTvqlC6ZRCXy7VQnaOtJwCBBpzu2MxEYxAcUcD4jb3n86n2mmPliVl1ejy85GHAbXo+fF5clXrKl8mbSgIIqfraqTYwPlB1YE3adiVZV0fdxawjyJxSGA7PLpGt6A8IKwEkks2LAJ8KuX3wYapbMrfSDUCUrkx2M0eWCFWG0akuMUxEfQr8uTAgLjNHG4uM38usNBlM+tHUTJzEONdN2oUAwHtF3mSHJEzjmE2Z1MmiPIXxP7L/EtfaYj0dccq3ujSt36PFdYxQacMeTf/S+xi/HOaCYoCDiTGrmuyLzxLWDin929Cbwxzv2a2DiwqMZKy45AFK7L6pRTQZ6rIobKwI/F4Jhrlxp+SYVKpRFX3/Mkrk9ZiEaUdw4VKItOFLWZuFG5ZCMvFEV6MMxlR8B9kN7PqLb94b7DGpNuy/rUM1GMX4qqMfLTqbtXDxhrYn3b0Xf4eepls8ePaNnzNfnwskL9GdGdSg6brxW7ecC+ehfwwbQ+x+8r21nyZmF/s7C2bopVlYMAJb2g5pSTcbrFgusYSN7zDH4UuD6B37bzhBhyep30294I8qcLfb+4jc4+bsdJmtdhYr+1LdvkP47FMfgRDPidTlQSMsUKdwnBcd4vgxYAXhBHgwUOMO7yQzsBgygPQDXFSsOKUErpwmJCQNxjlXh+UluXn9IkRE3DIoKq3Os9gOolQ5gmdDL+BveY3J9WHfGj99uCjIg+4bAeiD7b8ngAOFmh86N9SsQwQG+R92mb4ozOHBLLeLXh/wHi8IjlBQjtxYE3pY3lgACp+/eo5N37tKR23f00Or/NXdmEjDwxgQnkjaSgME7uhEABlkGDaeArJk1nwIMo+6clQZHYydLgQgKVC8stClHw8E+FNTfvD+SVFkhY2rE/OfRLuDslu4tTSjZW2FUrAe6EWJrR7EP6EXmiOmmgErTLLCIzq93OscTkMDbAljIz/j+iLCUnK3zKEv8OJaPmRn50fNX2i4kdbvHruPOjy/FKoZ1tNmeWV+ql8itjJ5k5WDckDkjftGkvG6xUTnIyf4EEEi+7LvC8MHDx65375r6mMA1Hz9krb6NFUSi6TmwvmHf4umbaR3LfisWmYctHuPrcD4NP3iazjGLyenQ8ybhkddzs+TOpKWrFHNFQ7ECCBg34tc3bl9d2a2VZt3K8VpuBPMOX4SzZ24bAJlcLz7bnC5kx8mGtlUVZtYO6Kjus0pjjrFD4J4zeqlJI4/71HNcBxOfX3W9odtD6eiuo/T49mOKYvkTxBLwx1+p5Z9iNcN9/ic9/UJ/1Ktk8M9AfoX9KEf+HFSpXiXmo2CfPC5051Fa+u1aky8C6EV9J3QzWDOsLCYd+tc1PDcQZMcMXGEQYDG/YlI0PuB1a4+anJPtrAc4zw3NiLfvjaVbMIC+nACBnB/DanyYQ2RQP8z8ZeRgB1bneLpfleRQbAPAfsGCfSb/K/zO+n1VS7es4n7MXx5KouO4t8GBHDpctBxgzG6pRfz6EOJ02qEjSoCAOo1y+1NgzpxUIWcOLZIhPy++SwCB0GvRdOLuHQq7dccUQYm3nwQM+Ez8/7FMAgbv6D4CGFy5cUv/Ea85eZa+Cj6gj0YEBTBRBk5Zox/DiggKsN1jxiZDmEw4v37duprSj8CK3oJ2oB2pyszjnxXOTqULZsOuOBX0gYgbiOEdzrRRd59aC9oAH13ql3YNEPiAQO9JiMRsvD/QhWqXzmvrrI3r7jJuvcGRDXM6ukt103wOGL3eQDcAKJjxTVNdUwgubZfOCz0GBb2GMK2wpBmfOYZRRKRoQxCQeGIofo3i0o5aItaL6zq00TWaM8tI82oGOoiqPSuAAIF3+LQuSuuBlVCN9mXKiKpPvo87Pp47zz6ONqFPeX2rJQQUJGwqwLIG52VJ0bi1x6q+SpuNuip/EeyHIDyo0zRTxuAmLLtx+95GkIj6ELLHdZ2OVUPpMLy5u3vCAMHScUvpQZR1Isjef/qJ8v3xv/X2F/z7Ewr/TwyfWd8prBT7vBh1GdmFJT/LIuw1r66bv5UWjVltOAAwM3njKJPzM3wsZowwvj/hd9BzeAv9fKtnZfA45rz8NmMyr2xlPQC3vUOHGE45rysvof1HroxIFvc/gkXcefUmNiiCXNftNiwO/uy3lIMpWkoz/w9uabA7H0K0VZZ00HDatg1w5UQMQGCVL0LuH88tikgbEuvcuPqQvev+m968+m8DSBPrYN0uuACOA+xMmrTdAOgB3qZMbaWDA9SbOjfEAA7w/l00pY1Os1JZDrZO7qApdlSKOFB1e9T7DE1rEYvazd9sCGcqgwMVtUiMOqg1JP1zAgjIhVAvdy5qU7wY+aX2PJcBpwaF37lHP0Rd1S0C0jBMmwAGojxjqpCAOyBbJfbMxwk4HXHqKgkYxGna4n+S+PAiZGm1Wct1xyQkLlvWtpHeSaMZa/UXDGIlj64boIVD4xVk+hBAwZzeDXTNNK+HpSp+PvbzrJg8Og72ebNAi36OgQS7ZD9xBQgYJ3dgvsaimyB/gpvcCU7XBwpWKQYGAljIVLtMzbwdfEgmMd6yGJ8coe+GdgjUHYx5XfmjJGusUK9nj0UG6kLHjhWoSdPYiCygl3RuMo03SSp/AhyUQQG07aPnfKGM9sMbg9A4c8giS+sAd0DltBBEpHlfoIXcYllv37Dst7+8+oWiGRXs9ctfTFpp3hcEusZf1KYmnevyXZZLVUIup+uB8KJK+uUkYFgNAoLhr29j0MNvgJfoG48pbdoUjA4SI/i+zwSNbCx0KUoWJrQ5AQHeDpY7txynGeO2ibss7y8qqUAB5kWmzvAGVaBApXXn9fnyV3ZPD2w7QBtnbbQFBMlTJacChbNR24M7+ana8nrGLHTAvxCd+sGYAMpQiW0EsWhUzXs1t7UggNI2f+wyg5O0FThQUasGT22vRyzi/avm/ZsZbU2hfa0Ea5nix9u1WnKg8IY9T6AHoagyZUNoRQ4MXpxyYfB6qqVKcEY9DghUDu9yO1b5IXg9/LZy5s5ABYpmo6w50rnyF+DnYgmgFn6MZUI/c5PC9l4wUCR5PZWjPT+G+zN1arDB90B1b1Tv4TmTWvFmSAYH+E6O+SImFr0KHMzuXluPRIdw4jI4kBV6KmqREzjA4AAQNp+/QAvPntPHqlpBPqQUf3uPymTOTJ9++CGlTxGTVRtR+q48ibXsX3rCIho9emxpERDbBviolDUL5U2ThkpkzqglYBXlGbHuu1j31Vh81e67mCOnPpOAgdMM+ei4+JC1WbqB9t2I+SjgpbCnB8uEzLIZo8ih0Ja2C6LPcsc4Z+G4HGfZChTgJTZh8V4KYVxMscj0FvGYL9cRuvPw2RsGRy/eX3wAAm8DS4CFJ4wihIRrD396RQ8EetCFuyzBEPt4cKoR6ot0IzdJ1nAOLyrAJTsY87o7Qs7S5Hn7+SapQIGczVgGBfhwftF6hm62ByiYPL+LgReNDmRQAA37hAV9LB2LVcIW2oHABedTRKLJWySXo4Yf58gFlKRLp6Noz4aDBmGO14MF4YvR7R0pRgh7OnXEClN4SpWgx9vGEhp4N9FoxHMSeh33dfr4TaaEXLZCkMJSIMfxF69DBgW4t25oQ8Erg2nxqMX0+tlrsTltHZr+wKYMAGdIrWn74TvwZsdu+rF9X0PdP6b8kDJdPaHtu33tNt2Ous3yHNygw9sOK4GGG4AA/4jpAxbq/ViBA4CnLxqNM/gdqJ4ZCL39Os/ThVGr3xY6hJA9bNh6g1UP2ulvhHwi+sDe8QosX/Pn7zMIyxgSxitmSbcbJp5Pq0R6mKfGbcpTReYblSp1CrtmPD5mleTQCdzLoZ3dgIMuLctRs/ql9DHKuQ6mMz8dbk3Hd7X5+NU69RTfkx/GtNeVcgAH9aatoZtvqapoNOTLZnr0QN4JqEVdNsYGn4AcsKxlPSqSOQOvolxyzv/ea9ccQYKyARc7ORAonTkTFc+UUWmJEOUZF036tIqvxuKrdn06GXFsPAkYxHHi4nsaf8hkCpEYoUCmENUtkJ0mt/xc7xq5AFpP3qBvQ8O9enBz/aXED6ioQ6C3iPHzed2EXsKSsHT7CZ8CBF9fkxzJAv2N7VpdSY2Sow+pQAESXY0dG6stRnjE8RNiaQ9of/ywVQbhUUV5kLnmdqAAtKG1c7fQ2umx/aIflKa961DTrvXiBAZiWjD/B0hYM5tFRlJEwLEKRym3AuuBHH1GpojI51gJNuAvD5/YyusCjdy/3bbKcdrKCsTbUVkK7OZgxogFhjm3EqJ5+1hCgJ83cp5Syw/BvU67Okrqz9MeA+jXdTvEprT11BsWKKMTwVfBiprUcVxHatK9iaktvkMFdlS0Ijgl92v5ne6UDavK5JVfGaIVoU0IosN6LeXNa9YaFfBGBWinx4zeaHLclcG83lgCr2B8SNy2bt0JA4DBMOycp+VhYk5mf7ddV0bw4xDO2zC6mpODMK8fnyXGMHH4Oh208bYAnNt3j/028v1YyuAA1zx0aAOxCsm0zu8ZhSwvy9uCAuG/zYhVOh0W305OKcJx+TsMyumsXrHty9GKYPUPHdyWhR7/C07XiywL4MC8hp9TUMGYHDd6RYsVgITtFy7SnBPhrjT/Fs1ou6tlzaJZGXKnSU0BfjEUMLv6XJ6xq5NQx3w1Fl+1m1Dz4kk/ScDAk9nyYl08ZOGXojyiEIkvE2jDG49dqcdVhqZi8ZeNTD4FELxbDFthoLfA6XdYx0AtPrMXLyleTdkBBIx35sCGJsATrw69dPLw74MNVhh8NHjsa7kL0Aba9lmm75Z9CnBA9iuAeX/2nI4GGopMd1A5GiP60LBO3+t92YECVOpZb7CJ6gMBvfPQNibOtt6oF1YAEBaMX6FMojVkbm9H51dVlCU7wZgP2UrAUAEsfo4vlzMnMpC0MdzQhRNY8RQULP5ulQH4uQEFEQcjaEi9IYZxYcNJk/8fluXzbtbipvOwI1nn5vTJ2OHKY6Aq7Vixg9ZNZcKfZJlAn73H91aeh50qcDA35FuDQzLqARx0DhqNVa0AHCzfO9ZkRZOd+iEAf7+8l2V0HJVjshwogPeZUEuAAlXuE7xXvmBRulThVlVjUz2fAK1Okb5UbcV3n5VVDb+XGUtiQ4CL/Ywdy6xwB2Md42V/EDgkN+s6X/f5wLt5zdzOWo4DtIOcPh2+Wa83CUv7gLZV9e1lIeE0ddsxfXtSu+oGXzQ5zHhFlihyYad6en2+IlsOsN8TcMDbwRJ0o4cvXtH9ly8JVKGXv/0mHjas52O0oDzsL1eaVEqLgKGyYiMxCc2+Gouv2lVM5zvflQQM3tEtwEM2adNOg8NxKKMQ+bEfJsrhK7eoLUtixotMIZJfRCK3kZ+DpazNll9oYt3EsG4FEBIjOJDpQ06AS+azLp3GhO5MMfebz71MIVqwsJPBYQ712jWYpGvt8DGUQ5JqdWoM1ykTVlpR3qfsyAmBURUCktf3xVIVHQfjUAl2cv+q0JRT1/S39aFAGxAwVMngEhocqLJUA+x16PG5pRCK8csWEztABADWong3nKYVN6AAYUe7lO9iENDdOgeraES8b5FOxPfJSyuAMG7LOCpeUQ040IYMDmDtav+V0dqm1dsdTuP7Lta7lSMV8QMyCJeToPF6fKkKm/kuLQeyQAzaECINib5KfOxWS1W+BzfPp1V73tqvAvdWv10VQNq2/SuDwgX5JwZ+s0Uf3oi+n1Olz/Lo2zKl6ODc7gZlVesJq/UwpqD0Lh/UXD8XK1N2HqHvWV4OXjZ2b0CFs6Tnm/pSjlgEWtHxfp205KZ6pUS2kpiEZozlX0M6eH2G/jxukU+cmr0+UC80mAQMvDCJcWkCD2+97+bSpksxnH8xChHaG7VxPy0Pv6w1jazGG3o1NXRTZ8QSndcoRkMQK0HIDuoby7214ryL5ySWdYx95powgzY+MYEDOfqQ09gQ07xR5/n69Ip5CvSdbKVtm+/1aBqyVgv18DEUKQ4rdw4y0V9ka4GdkAyBsWtgf93JGE7FE1cM9yptSLw+p3UIdqLTM6wW45YOczpNc74V+eNI4rVk1xjH81ABwt+S7/cY6AlWAoarBj2opNJKd/+KJc4q7W/bCqwFrasO1Skx8CkYPKmT5TkihcgNKEBDPWv0NIQf7T2rN1VhyQp/Cz9j2Q8/8OvOvfTPk5F807SE1eDPn9rzp3HSP8uUogFdJun+BwhvOnvvbNv8ByLQxbWuODpL+TyL/jcAzxuPTzGNEztE2h605Mu3DbQFbLD6jR610RA4YOjQOsos1soOvbRTRaHp3LmKZa4MVbfy+waKiK5f1vLYmVjVtjf2AdwP6rFAj2IEq86STQOUTQMctGwxS6dTiRnj+Qmi8qZy2Zw0vF9tfkijFFXsOlvflumiMqUoZGwHUzjrqhOW6f4GcpQivWG2gohFFVhAEl5k+YDvTyzLJGCQWO6Ed8aRBAy8M48et4If0n/a9dPPW80cjQJyZdO3i309n35m3EaUcSwKUZMyBfRjCNPZffZ2fVv1AsJB0Vog8yL1kz1YgbmVJ9tBGnlZ2+1BU66riteAk5wEcNcNx6MiOKd1+y0y0LPWjm1lS80SPziymZoPBdrGIUNizdWr1/QwfcRFIcXKdD6ky3TdMRfZgsfNs6ZfjOs9zUDjWRUxx0S94ONLqKXsTNp7UkdTAivVWBB5pm+zb/VDvUY3Uybz0isIK7LDKQ75GhzIQheEzjmre5uAnjBMfVX2H1kZOk4ZshUnyNYChCN1igC1bvY6WjgkVqnAOf4PKtel/zl/VR+Hr1c+mjiUHhQsQr0rxz7DTQc2pQ6DrTWC8vVaPT9wYm9ZIZYmpXJE1uaPRbVqWXOCfqlOVgPtHCnUsCpcpt6gD1ZkUKByunXqFtG8ujWfrgNmT55Pp7a9eRy+OX3bz9WbtLs/4rxgTmbOMj5HstVgw/zOevhSdCB+j8QIRbxzJ4WdTCk6N7qLydeAtzUv7ASN3neUb5LIKNB3JpKVJGCQSG6El4aRBAy8NJGeNiMDg6tDe+imQplGJL88xPCkKpMlxuJtawGcZqct2K9zMOXrRSztDs3KGkyvcp24bosvY7TxrsFB+5GrDEncZM2RfJ0yf1WOesHri2Z/lcMxtGP1Kozk1ZWCq8yfthJ20AjoO31qx3K93QiMeuc+XhnS9hs9cpFbShGGJIIiK+641dBV4EAVqtLqfE/2y31B6LJybpXblQVaqzwF/DzZWmClQef1L5++bBDEQR8av3q8dvhhUDNbSwBvw1vLFKP7U4pu7WnR+EW0duJavdnp+6dTnqKxNA/9wNsV8ZoR7Wpp6Ey5irY9fsACCt1xWlu3szKJHHs3VgM0iLC2nTou0NrGP4CDlat6GOgr+kEvrojCL+933vyOJiWDU5dDei+k08ei9Wrz1/UxRT3TD77jFVFhYnd/EEWqd+9YTbyKqlm79Uz9OydbdhFNr/eU2AANwVM7GkJRz9pymBbujXmeEAxk2+h2hplBlKIK45fqSr/B1UtRx0pqahxCmZaevMAyjLmh4Xe8kQQM3vEN8HL3ScDAyxPqtjkRGDTI60czmsaaLPut/IG2nr+hNSVHIsLOQt1jY9fLTk68/xXBJ2nmhhhnqPhaC0CD6fDlMv1lyfuQl1aacLleXLZlcNCuZlHq1rh8XJqK1zlyXGs345AjEe1c2VN3ahMHU7XKWH1TRT0QaSdWHz9Rk2wn6KAjUfi2E570QSXgikxxCmpXlXqNtqbK8KHJQrMnVgO0IQvsdtQE3mdclqIgg/M9ASDiPXYDfqplbKwP0Q34G9x8sB6BCPkIVp5ZaaDuvJizmF6MiLXM6I17cQV+CKlXz6X3ihbSWoXPQcsiLXV/hwrNKtDQOUMte5StBtO2j6E8hXOZ6stWpvnBI0wRinAStOei1UCVRNDUONshRxhT0QNV58V1nwxGoBUf8XVDj0GBJ1r4uI7Vm+d5cn9EuqbK/0O07pYolIkmjYj9/WDMVbvP1q3Fg9tUpHqVYp5RHLvx8Edq8M1KrGpl07CWpoAgTjRhfi6WsjNyYrUaJDZgkJTgTHyKPF9PAgaez5lXzhCBwYgqZalLQCm93Y4LttDB6/e1bZVGQQQGRyd3MzhA8UZEYOBGeOXnqZaXou7TF0NitXWqOnyfGOaN7/PWUowAhMRh0/s39FbTrtsR5xWWi8UjWzieu2bzCZq38ohWT/Wh4Q2IwGDvPrPQIzoBIovouOkd+an6UtSYWzlU8soiMBi7arBj/gB+XkItxSg6bn0NMDaRO+40B6prEQEYjodExNJIVPXjsk/UxroVMnk/4j12shbgHBEYbL2yVMm3521jKQIDK2ff305H0tPmXek/z1+Kp3pl/b3A8pR67mT6Y7JkhvYQznRs6xjwLFoxDJWEDTHSlhUwQPVezcbr2aLt/HFEJ3E7uoowBG1V1OCrLIFy/fhsi5GRVBHN3LYt0tx8BY7djsVtPfE3ZXd/xDlSAQPxe6d6X/f+diMdZ5mrUVR+e+L3eXm/RlQgewbDJZy9/ZAazt6k77sxSR1JiVeoO2clRTx8om3u6NjUMbcBPy8hl0nAICFn2/d9JQED38+xsgdvAYPI2X2U7YsCrOrlpTzJYqf4ogRlaNXsWM0taDI1W8aa6X0JDMRrSgzAwO0Y/jcAAzvByeKx8Plu0YnUE2AgRuuJCzCQtaW+BgZTF3f1yJlTBAZurk8EBnvuxfqwWN1AERjYUXYQkvTHQaOVuQqs2nbaz6lDqnoixckNMBCBr52lRJxPO2AgAnM7wVMeuyiIJiQwiE9f4rVaKSHk63zX2/+/AgMxAWoSMHB+ynwFUnzVrvMVJXyNJGCQ8HOu9ehrYCBSb7wJDFQalAr1v9Nn0ZfAQAwP6lYo1wfmpZW4gBNfAAOrhD6ikOMkNIqCU2IEBqIPRFyBgV0IT6tHIgkYxFKJ7IABn79XqzbQ8z4j+Gacln/OmYVSL5lFf8mZ3fJ8ERiA4rT5+mbLujggPt9JwMB2qkwHk4BBjIVc9b1LaIuBCAzEBKimm/YOdyQmodlXY/FVu+/wtll2nQQMLKfGtwd8DQycXl6eXJ1oMYAfgX+ONPTg8UvtT27n/xIweJdUIm8Dg8RIJYo4dJaGtohxeo0rMHCKyiQ/v9gWaRTY9rXFwNPoR56AP4w/PhYDKyoR2hXLP6/doB+/HBYnx+S/N6lFn0wYYaIOie1jXQQG2N77Yi8WlsUtMPA1lUjMTRIfLb7lhQoHROuEKuqOUNV2NQkYJE5gINOObW9iAh5MTEKzr8biq3YT8Da57ioJGLieKu9WFIFBn3LFqH9ggN6B6HysinUschjdJDbLlPpD2vhte719T1fkjL1258vh3ezqenJMdvpVhYrzpL241pXH4RSRCP3sCDlLk+ft17q0c9AWfQzGjWtsykoqfqzhfLxx39emyxD59ch2PGPNYFMdvkMUnDwRvPn5vlz++uZX6h40kB7eiOHWuh0f4vuL+Qw8tRjIzsdW8xzfaxedj9GH24hE6Fe8x3Aw/37DEFPWXnF8IjBwk01apBK5yRvA+4LfwePqzfimqyUsBZ8e3eWqrjyupSeWWp6H56dV2R56fg63IUutqESICNa6zkQ9dKdbKpEcBcfXmZCDg0/R9Gkh+rzEtT85sZsnzvF65wm4It8fO7+dnj0W6TkmVD4GC1aE0aotEdroVRaDhv0X092nMb41svPxk59fU+DQRfqVq3wMFh6IoPG7T2h1sqX8gPYOaqPXl1fkfAZxzYIst+vt7cQkNPtqLL5q19v3whvtJQEDb8xiHNoQgUGOjz6ksC9jHUnFWMcf/e2vdGpUZ0MPgxcG064zMWHkmpTLx5wFqxiOY0NO4e5GgDU1IuwQ6TDCbsOqVRhOQ6U4bMjCOJqY/mUdKl0wNu9DHJqN0ynIYdBmxCr9w4BGnHIYyMnN5IyafCCDB62iU6dua5uqD7oceUP1sZajrFgJOuhEzhLrRmjUBpcA/0THY3Tn1qIh+hfgPLvrx3GxQLj4ovUMPas0jnmqzRfbs1uX6UoAB25zGMj32BPKmJvoUxEHI2hIvdj4/k4RgPh1Pp84nV6xpI2elvRHg20pRGgveGUwTe8xXW+a51XQd0gron8KDlnl55BBllVSPBGUoz1VYkHsFwsiBH3Zd4WeUCshchmoMvzCSjF8REOPwqTKgran4FWch4RYFx3D0Z/V/UHyuebNZulDUilgxHCl8jcNiS2bDl2hny+HK9106ByNWXtQO/4hy/UT9l1stnF+kpjk7IuAwvRlzXL8kGkp0ogScwbkxCQ0+2osvmrXdNMTwY4kYPCOboIIDDAEMQwZYh0XHDFPH9nSdkH0We6s+vaeiCgasGS3vm0VmUikE8FqsGx0C2UEI70hhxUIuE/Zn1xSf/KBIQmMfDw+2ypQEF+QE5/x4Fw567GbuRVD4MkO3Hw8cmjDbdu/Mn3MRQe7oIYlqOfA+vx0fdmuxnB6ePuZtu2kMRetBnZZYvXGE2BFpBChuwr1y9CQ6Wone3E4cqhSp2sXz4UgJGZQxTErupZ4XnzW5ehHSFg3YVYn26y6vD9RoHUKWSr6auB8NwBw+uDpFDwnmHdHQ5cPpQq1K+jbqpX7ZWvQv67dVh2y3ffBV10p5cDYBGZy5WePnlGX8l30UKX+LCv0zF2xAQ/k+thuW6Gnbm2yCnUrZ4+2AliykGz1uxPHoRLQVUKoeI631lV9qxQNTv3Beta5yTS9mifPp35SAqzIChM7a45ItULUpqXLvjCM0CnB2Zz1h2jJzpg8BSoqaesJq+n83adamyqlnZyj6OiQtpQ2RXLDGPiGHKo0sVoLMN7EJDT7aiy+apff78S0TAIG7+hu4CErOnSSHobMEzoRtNZl+83RRz68aUVqUL6gvs1XZKtBfJ2QebsJscQ1fr/uEG08eNHQ3bsGBXwwMmBxojaJfhpoQ+WLgQ96ndqxjtxOuQzQzpbQkSZBMnR3OI3vuxiHtWKXFff29XvUuVJsBm4rIYq35eslhNjhbRll4/kbrStouGcHT3QMsQkh75t+8/WMz07CsngdEIAmj9lAVy8+0He7Ef70yvFYkTWdEL6GT2zlmP1YBkFWQi0fmggA3cwp8gYMbDyQoo5HaU3A2XfwfBbStqI6GRN8DB6WDeLdebS0oxPJ40DDC8IXUBZGQbIqcuZsK2uBbF3aEjFVScny1FqgEsx79wmkoKBiVkP2+n7VGAAOOnWqYlI22HUuU4rcPp92bXr7mEzLW75toOmdiD4xJ927LaQHD15oQ1DllBAVOPGlEalovmIo8op+n9LCTvWU0/Ho5SuqNmv5/4rkZriAxCQ0+2osvmpX+QC8451JwOAd3QA8ZJM27aSvgg9oI4CZcE+P1pTuww+0bZFOhB0hXzajHGk/0Y7hn5j9GNuqRCrYL0YnwnZiEawxFlUBINi8P5KW/3BaTyLD6yW2sYvaI4zRKSPzgNHrKTzyrnY58DVYNKWNydIixjwH9UDOWArtpZj9uEJgfhr8jTGXgqwJdfI1kGk74PP3ndCNUqX9mE+9z5fghC+ctIqClxgdSt1ES8L1Duo0TY9Fj8G6TWwmC304N6FAAfpCEbPqYhu0jYFjmlBxphm3K6LVAPU8yXKdq1h2mrhiuC3gus20/51KxIYmRh9NBzalZj2aGRKeYb8TjQgJy+xyHqjoRHA2njNsjg5O0I8ThUgGulbWJpmOZWVdkq06Ts8G6EMjv96gC58Yc1y09TgvvkUFDqAlHzCgNuXJm9F186rns90X1ahmvdKu2/BFRbwLvxmy0pCd2c5aIL5bMR4567GsvJEpn2JEOpwv04hEiq+KRiR/02c2q0afK5Luwa+g/sJ1OihAXyKjANuJrSQmodlXY/FVu4ntXmI8ScDgHd0VPGThl6IMWgExA7KcOr3Ip6loQ6+m+miRYbH9lA30kmlBUJB+ffXg5iaq0NPnr6nFsBUGITu+Cc/0QXh5BeFIZ288ZhgrukDm5gGtKlLV0rm93GP8mgOI6TlxI128FWM6RmsABxN61abUKc3mYdlMnZtFd/puZGNDFmTZWVEVWUTWMqs+hrI21ErwwZhlR1/sA62o/aCmVJN9vHxdoOFdPGGtbiXg/TXtXYfaf2UEPfwYX6pAgRMQwrmgH0wdu9EgVGC/k+CHOr4ovdrNNFgs0IcTlQlWg251v6HXL37Vh2QHDmaMWGAAXm7AgZhUjHcCh+S2jAIhUovsaEQpp42mZHVq2OY8EOlEoA6tnrHaQGVC304UIoCCfg2/NjxH8w9Mpix+RiH4zo2H1K/ld/q8wbo0Z+swSpUmJb9EbalyRLfzAwEVcMaMEN2nQBszyzw8c1YHQ7sJuSH7OfC+K1T0p759g1xbD1TPJ/IbdOkdRJmzpeXNJtgSkcMmDl+nO4OjYzuqkxgZCnVx/UOHNsCqVpCPp/NXy/VIe3KQCNm3QA6XLfoWoMG+dcpQm8ASMY2z/9GPf6TAKWv0bSunYxUokNkEeiMuVt784x907elTevjiFd1/aZ2MsETmjJQzdWpK9te/umjVXCUxCc2+Gouv2jXP5rvfkwQM3tE94A/ZvLATNHrfUX0UYgITWcMgZ0GWfQ3K+WekWb1iX3a8UZlShP12Aiw/L6GWoOXM23zc4NCLvgEIWn9elOpXLmQCPAk1Nqd+VOAA4543pDFl+zTWwsPbkZ24K5fNScP71eaHtaXIg8UOlcZR/lCrkmSJYS21dpp/Rj2HqwVtCFWTB8ymq6duaGPg/yA89pvU3SRc8ePxWYI2tHL6Bjq1/7yhGVBdBkztQXkU2jSxoizg4RjCkw6b3FlJCeHnqoQKaOnftRZUZb2wE3ZwPao58DY4gOZ+0heT6EFULNUKfXOAUIa9d1Q0IlVuAqucB6ibcvcmWjNrDa2dGBMqEn3wEtQtiDoNYf4Xyf/OdxmWKlCg8qVQAUnVfAE4dms+3SB4qn5jGAQ08wsW7KPgHZGGMal+t4YKCbRhNT5YJAcPrm2KfmY1LDyf65cdMswJ6gJMN21XyZH+ZtWuJ/thJVg06wcK3hhuOM3udyL7bkHZMnFSSwMoEiMRoeGJw+pRySKxOTXaj1ylK4Dwfl/1TStd+YNIRI3HrtSVdAUypablg5rr45OVfAgosrZbfQMDAJVVoKB90fw0pq575QwoSCsiTtHFJ0/o9KPH9NNvv+njcLPilyIFFUqXlvKmSUMAC0UyGkG1VRtcnrE6npD7fTUWX7WbkHPjtq8kYOB2prxcT3zIAqYspOifY9C8HKFI5CTihRLct5nBWWnWlsO0cG+MMxSG2LFqUepR7zPTaAEOvpy6zaCNxwtudJfq7yy6zx4GCFbtOmMCBBh8w4r5qG3tUvrL13RBLnfAsnLjwY/06Hms0/Rr9iGPuveUkrOoEf4ZU2stpWNh49K+1fJnT/+Jx0BEpmzZza3IY0Xndarlp75dAw1XNHbsJgo9GMPvxgHZ30AWXCDYytxalRBkZzlAP4jmsv777QatK/bD96BAyTyUt6h/vChGEOAunbpCG+bt0J1D0T4vSERVq3k1W4oL6u7cEEYzRsRq4LDP6dqshApoPvsObZgggg3GaVdkLTXq4t6OntrGMjuyChzYUalUlgMn8Aeu/9QBUyl0Tahp+J1T/ZuKv3hk2J+sc3NKObgv/TFZMsN+bFjlPJiWPBtdev5PQ30OPkTrhKEC2wDAFP1ScFwFCrB//IAFFLoj9n2pmic8J7IjulV0KkS5GT1qox7+En1A4O7VK5BppfNhM9EUWCMnTdpuoDlhcNCed+5chVKl+tBxrFaWNpwIgFCqfB5HCpxjJxYVAOhnf7fdEDUMVVUWU96EbIHFvVm5qocBFMgUIllZI1OI5BClosMx+pVpvY1mrKUz92OCQeC4ikKkAgVunY0BBg5ev05rI89T+OPH6MKrpVrWLFQmc2aqnDMH+TGrgqqI8ozqeELu89VYfNVuQs6N276SgIHbmfJyPfEhO3PnAdVaGKslE7UEj1+8pqCpa+hnRltBAaVoSef6lOy9v+gjkl9Mk9pVp2rFzfxkaLeHzNpBxy/e08/FChxnPy+Xx+cAAf2fv/aADp+9YXIq5gPCWHo2C4gTIIDm5saDZ3SdAYGIq/foAosOwalWvH23S1CzqhbOQeULZKMC2TO4Ok32OcBJKodvmK2/GrmerkTHxOhHPRkcyI5yqCODAzkRl0prpgIHFWoVpd4jmMYs2d/QrKk8e/wTTR00x6TJ5xVhRShcNh/lL5GH3mcaXFA1/p7MrMkFCABN6SkDZzev3KZDwSeUYADtwq+h89A2jpYJcMPnTlxv8CfA+U26VqP2vc0RmnAMBVzxWRO3mbSddkJFzJnO/yF8oDxlsc3fZ2D7/fffY86Pf6UsWdQfUacWVdxpnGMHYFTgwO4+y+DALXUM1oMVk1fQqR9O6Zcx6c+P6aM//Evb/scf/kgn8xWh/6lagbLnzU6pM5jn4MLJC/TTzbuUcUsw5X8VS8ML+09yWvnvGOEUzs5N+jahWq1qWVoJ0KHsH4N9qizHqt+BCkgCmI3sv9wgfFo9IxHh12n8eAaiX8dqZcHhHzmqkUf3nkd7u3nnGb355R/a3/Vbse8GXFM6FlUuLftDScaerWyZU1Fe/0+1bU/+4b2yY/spWrgw1HQaLBzNm5dzBRDglLzk+z2m3xMaTZ8pJRUpkYPyF8lGeQtmiTPgxu8g/FgUHQ+7RKEhF0zjRT/9GRUzT/4spmPYIVsKAAqmTG1luDfI0dNr2Fp69Sbm+ypTiI6fu0m9p2zT25cpRLKvnxwIZNTG/bQ8/LJ+vio8KaIPDQ7eb/ApcAMKgi9covknw12BAQj3H773nmYJwGCO3bmjjwkrbq0LH7M2KmXNQqUzZ6LimTLqQEGUZwwNv4MNX43FV+2+gyly7DIJGDhOkW8qyA9Zr7XbadOl63pnYupzMSEKKsjgAAL358MXG4Rg+QWlN8xWZA0IPwYtd1UmmH9WOLvXQAIsFZFX79PBU9G6KZb3Jy7xwu1YtzTl93MnhPNzYRE4cuEm7T8brYeJ48e8tYQjWfUiflSURZFQAS6xHzlaEY7h2sb1qGWwQgAcNOs6X/8goZ4MDsAP7tRxAQ7pRQYHMv0E4ECOaqMSisDDHz6ti4lXrXfEVqy4/2IdeR00oNc//2KyOMj1+Dbqt+3flCrULMt3KZe4hkVTN1Pw6sOG4+CH9/ianV+9hGE/30C+gLlTdpj4+xAqRn7b2iN+NADAhQt3KTLyNj169MKkeeV9ykvEkU+bLgWVKZ2T8ubLZNBWynXFbdmXBMdgPegxsA5VqFpIrKqtq8ABEqCNnNWNMmdPb6ovgwNUcEsd4wDhyg/hNPG/HtFf6Xd6+Pt/0ff//oSe/v4nU19WO0r88Tdq9afn9B79hy7+5280/d8fWzo4i21YUd9UlgLVvOD5n7CgjwEcqyhmKp8TCNdr1hyhtWtOiEPSNO9uePv47V+Muk/HwqPp1Pm7Oq/d0JjLDUTO8cuahgrk/ZTyMaDwPntXuSkqJ2l+nluAAME9mFFAd22NMAAp3g5fikAhddoU2m6AZ9E3Ab9TlIuRt7TlkQMXTb9Z7cDbf/C/adqmkjL6EKrIdEzsk8PFwlIweNwWwztYpBDJYallCpFsrZepvDIoUEUhGr6V+VedNoIeJ1AAQDAx7BBdf/ECl2UqoAO1KFRQowKl++BDPaCJqaK04zrzRbjKHJ8vMxoSqEh7bt2Wapg30VdA1sy0rEtHunLjVpx9FMwtx32PLFvFvSXjmb5q19hL4thKAgbv6D7gIRu6dqNunnvz2z+o5ZINevhSDEt8QcgvGRkcyM7IOB8vqomdggwCKfajQGAfNT9ESePBcbwE8zBH2mK5M1Lajz+g7BlTKTnzqMsL2oy+94wes1wHUXeemiwTvB5fciBSo2wejwDBsYs3Kez8TToRdY/u/GjtUMX7gfY/I8u1gFI8l5EzyWlFOHaPjdupPYCE9oyu1ZCFh32fUbtURUXbQq6DSb1rG+ZQ1lahLRkcyFov1JHBgRiuD8chPMqZdFXgAHWdwlxC439wxxE6d+IynQ4971rgR9tWBWCgfFApqlSnvKOFAOMOXh9G6xcw7aTgZIu24U/QdzQL7Sk5jeIYKA8LZ+xUahoh7HXo8bmlUIHzUUATObD/ogYEeOK5mCPx+w+Oc7ly/lSylJ9Be6lq1QrYIBpV78ENTNcAh+QxfeaZLCoqygz6kxOB8THA8btp13pKSxCvgyUAwtFlW+gfW/fRtld/Fg+5Xs/68XtU3S8l/aVlIypZuSSlSpfK9lzVmGHxGDSzJxUvX9hwLkL3zhrFHNuFZ0flhyKH5UQjKlAAgXrydzsM1CHUVWXQxX5eAAYOHL5MP7DnSbQU8uPeWgIoVGcUppJFszuCBG49WLfuhMHqwcfiFiCgPixymxloF0P+8na8ucRzX6dJWUsrger+qKhduBejp/5gGJoYhUgGBagoJtWU/fvgVzCndwP9m+D0vQb9p9vq7YbvPSITjg+qTEEF1UE27AABNPn1cueiqjlzUoBfDsN1xWcj7Ho0nbxzl47cvmNrmfivuTOTgEF8JjqRnZsEDN7RDQEw+J+uPQk/6K2tW2gmOZlniBfF5o5NyC9NzIfS6WWjAgcQZMe3DaQy+dRZgqHhPnTmBoUws7ibAqfl5Aw0oFxm0XheMtO3JwVgoFTeTFSeOXaVKZRNf5E6tcHBwO4z1w2WEfk8XG9+9pIGACicIwPFxV8A8xgZ/YC2HbtkaYXgVoT2NUpSmo/MEYgQDWrQjO0mK4kcchU0ghGTthmEBXBcv+wWqH/YncABNHeyQ55Ks2yldYdWuf/4tpSnUHZ5Ok3b3EfAE6AAmhBKwTJMYKlY1BEM8E5VQh2OYbzdhzam4uXy86qGpRXNwW0UFcx3SMg5PQu1oXGLDQgfuXKl1Y56AiJAPalRoxBVqpzPlsIhW4bQEe6xVVhTOZQp6ltRi6yoYxC2e47r4GjNQdsoiCb07OEzAlUo+kI0Pb79mB6w31Gu4rliKgj/02ZOq1GN8pXIZ5uTQDhF8yWY1HeWiY6GkKR9xsLh3Ehnk/N5oC0V5UwOx4l6Kp+C4OBTNH1aCA7rxSn8J37f+w5dpjVMq87pKvrJwgqSHuIPpTCzKqGkSRWjzHjyLMY/CjQjUIxeM9qLG3ABJUMZRukRnWi1hqV/3gQIAOThR6/Q+dM36fSJaCXVSOredhPPeEDV/BotqUQZfxMQFk/G/Vm8KMwAclT0ISdQAAt83X6LDN828b0tgwJ8C9YPbal/B6bsPELfh53Vh4YIRFv6NNPpv6AOt1m5xUAdgm/hwhZ19G+9fjJbsQMEHQsXpDbFi+mUHvE8b68jwtHpu/do77VrFHbrjsFiAWBw7/5Db3cZp/Z8pdn3Vbtxukgfn5SogcHZM2eocJEiPp6Cd9M8BwbovUTatLS6VXPNDCf7G7gBBzNb19QdkiHUjlq+xyTQ1iiSg/o0CNBfXvJV42V4LPKmRyBBbsNqG2CiYrEcVCjXp64tAxjPuRsPNMuAExiAtqYEAwI1SubWgIDVOOKyH+M4evEWHTwXTbvORCubgGWmc81SSl8E2SkZDcCPYlD7qjooUvkcIJTp6AF19DwHKnAgJ+hRUU9UJnc47i5hvFlRi4pxQZPakkV/cQMQUF8sEC6fPfpR3wUhTQ4TqR+0WQHtYz/zRTi8+6yevZlXB22ocadqFNQ4wEAB4cettJagMnT/ikVfsckLAOvAdsa9/n/sfQd4FMe25nm7+94NBhsHMpgokggSOYssDELkHG1jgzFgA05gcMTGNgYcMMEGTAabDCIHIRBRSCLJgIgmgyPhpvd29+35e6hWdXVVz4w0A9y71PdJ3dNdXV3dE/r85/znP2sTDjoMCzG2WMLbHxVdnCpXetLKJSjOn+0/s2Gga/Be/pWNuTNszB069COlHjjnOTaSQOvVLWtMWtUVYsN5AXh69W/m8qLqgBXu4dPD21LrzjGuKW9fu4u+HDXTFRUSEZ42vVrmKPHcdcIAN5jUq0x5EYiazJjAyftSkjFOpaoP6RJpYYiqid74bEyckOACil6SnwAE85fuoVWbnDQRccngsteoUoyimGZYm737ee9ENMX+QJagwhz+4SKlHz1PxzlfyQQ8cK7GdctQi0aRnnkJ/gACPvsdO9aimrUijJ95dd74zB49dNYCCrdu/Y2uXPzVSDvC97RgEf4r9BjlL/QolShd0PM7K84Fit+8eTtc7w8ofMNHxDkAtz9QgEjB2BkbHQ4dOdlYBwpmDe9sP3dUUKAqEKkqhLiGZqWepK+6xTNwcP6O+AMEL9avHzBNSNyrUC4R9QBQ2MhAYeVLL95XwOD/jBgUyku1xvqfE6bcN9cY8otTBryvgcFbb42hHTuSuGJkG+rVsxfzdAsq0//nfSkDA1yFHDlQS6H7Awf48ZnUrTk1KF/CviFzNu6nSat226/FCsq0m7zcog+MYSQJgxaUyQlxx9jAOc+JlYE0gIBynHRZkB90AAKQ7DRRbtTxkDx8iD2MXka4OAZgoG3dSKpfqaQR7Ii+oVpifrPW7yMTUDGBL0RlPmGpPzm6gsjJxGFtbaCkAwd4oI8b1d5+mOvAAR5+Y97qZD+o1YJMuHY8cNUkPZPxhP7gX8eyF7Zmw0pamg76hLJhLvt3HKGNy3e7KDDiPEgU7fb8U9r54JrnTNukNTiQOBrXoY7R0+gvOgCPcIOG5SwgEEx+gJi3uoQRs2dvJh1MP+eio4i+8HJ27Vqb2sRXt99XsQ9LXfQA23UUKQCtCaPnuO6rKUoE6tjiaSto8edZCZcYWzREf1p0bkw1Y6JdHnrRJxRLRKb2JaZSMn/fVAldjI8owXMjmUamFOFD/Q6VdgYwNGH+K448C11UCd8TNe8EXHWVaqOjpohrhrE+5/vddiFDsV0s4cX3Z6CLvsEuUScFeQsmMILxEJWIa1aJmrF6kAmM+AMIGAc0I+TM1GAnR3YbIp3nGDjkzZ8n6ARlzHH/vpO0bNk+1/cI788zz8Y4Kk3j93Xi1I20dVemPV38vr75cis7ooJE47emb3D8TkMd77V+za1j1FoFiBQIUABJ0pfnrWV1oIv2+DIoAFV41MqNjjxCdHyrWT0aEFPbPgYr4QIEaZcuOM5TtbCTVuvYGeSL+8mbjrk8AAZBvoFK97sKDK5euULjPhpHy5cttafRoWMn6te3nzEy8NJLQ63+TZs1p9mz59jH/bOv4MPbd/oMmpF+yL4UGRyM35hEnyVnKX8AHMzp1Z6qFvMl546Yv45WHj5tH4sVVfHgMHvcx8zZpOXNAyC0Zg97oIo7GB/ceVOD8a/T7Tf1F9sR4Qg0eTiUYAAFZ27xj3nBPLntaIuYk78lgNPSHYdo+a4M470dypKxMiDSeaJwHhSb69OmltUXD693P13lMioG9KpP3Tv4Hh7wQg8fNs/heVaVUMBLf2vYHFcYXxc9gMrP+JGzXd55cQ8QRWjRvg7VZNqOScVI9A1mCYP1KNPCvMAAxsP5B7zW2WHUifN4AQIv2lAg0QF4g1s0r5wjw0fM07TEe7l16xFjlMILIJhyD+Dx7tK3IXXhgoCigUK2eOZ6+o7Bk9pwf3V5GjDMv/5gjlGZCuMgUbllFwYJTA9TDXT1PP5eA5BkpJ2gPVsOUNKqPa6ohTge0QtdjYuU5CM05YPvXZ9jNflaFyXA2Pi8jP6Qlbo4KRZNx1XHdnjN33qbpW0VaU94ojcwBU1UNkdf0WCAdm9Xw9MYF31DscTvyL7U07SLQYJsCKtjg7JYj6lGTRpUUHdZrwVAWL/+oDHRHp/RmEblcgwStBPQbMT7smpVCiVtP+74DRRd4SgZMLC5I3cHgOmDz9Y5Iip4T74Y242KP+mj6aK45rg5iWIYaymDAlV9CB2E+h+eJS/MXktnJElsGRSAItx/wSpbkhzH4nk+uVMriimbRfFNu3CBXlqV4KDooC8aKEP+IgQW1ecSR49+uka7L/hUh87e/I1O3dAnKftGzvpf+pE8VOLhR60NdYsWs5Y1ihSjMk/4L3z2ABhk3cd/hbW7Bgxu377NYfI69Ouvv2jvGwz/yZO/olyK7jUiBj17dKd/RWAATt7oteuM4GDRvnR6JWGb437JakXf7T7MXogkx34kJcvUIuxE9GAW1zrQSXeCBtOjSbQxB8ExeIheIF8gjUHGZlYS8pfsCy984yqlqV7FEg5D22sq6ecu0xX27l/+7SbtPX2RfvzlpuNH23QsVCPQij76MJUrlJeqlSzkKkKjHovQ8ldr9riuA94kNUkZgGLumn307dosHXWMhyjL6P6xNrBSi6ChD5IK336lrZV3gAf266/Nd3jKVC8mvHGfj2M6hSLzZ6LVgHYy53OuLXAuS28b55UbIgkRFZ6kSjUiqATfK53SjdxfXgcAOcvetMMpmZS685iLxiT3hTHXoGU0tenWKOgIgYlWg/EDiQ4EwveX5xqqdUhfbtp82FG7QoztBRBM4MgUJZr01jxK3XFMDG0vTREZUMTWzN/gKTWLQWCwl6lSivMGilP+wnkpH9cCyVuQ/ySPvkw3g4TtNZYWPrT7KH/mrrnyBuyJ3VkBCOnYP86V7wCAOf2TJa5rErSzLs+0tIfCvVIlawGk5MJ2+G7pFIfEe9C1m1M9C4Bg5qJdWmUh4Z2P589yoGpBwvkCAYer/LuFVpqFH3LdoavlZyEIXVV1+yKVFQESljCtypSXACMZVFj+KnEAAEAASURBVKP2rarahrIyDCHStXnLYaNBLvoLOhwodtmV6xVjYYn3I4OpUoehBuYRZYNzpF+/GAcNTxclwJh4Xz54o511rfhN/uq7HS75bEEfwv7Xv0mgZBa6EE2OFOw8dpaGLd5sy4mjjywMopMirVEoP03tEW/TgGDQT9m5iybu3SdOYS9blChOLzesry00duXWDUq9eJ728d/h61co5fpV+7hQrwA0ROUrSJF585MOLDwABqG+4/d2vLsGDL7+ejq9/9671tXCyH/mmWcod67cnEh1i7ZsYUWLlSutfUuXLaeIiKzwJPIM4uPj/mWBAS5aBw7mde1k/RiotCL07xgZQR+2i7U4iSZvxauxtalrXV/SJ44RXm4TQEAfgASRtBtMJAHHmhqiFqgrkMkFXo5xXYHD/OfV8KMLadAYrh9QhesHyF533XEAAZlsZOw/w0Ynn0P22uj6Z2cbAEPtUkWoLBs6Ml1LHgth5i9W73aBL1zP0Pi61JFVjETTqRZhn1zzQCelhwfaqKFP2dSizz9f66q2qvKedRKMOBfUPfoPbe0K4cPQWr0wkZLWpXoa7xhDNHiddS3z8I8BjwFDrlW3+tSU1Yp0gENII+oqr+LcJkAQqugAjAyoSIHTfYqT7m8x8EK7dPWG1igEkBNNaNBXrlCE8jHFzkThQH/Md+HCZNf7in3COFUpRuLezPzCmRiLY3Tvs1eUyAQQMFbKjnS/Hn30C1UT9TJ06lWgny3+er1LvhbnRpJ1/xEdbVBpUqhSpX0Bzr5ibf5Ll5weVh1Xfc3GdPpmQbLDCy2uG9/TZ7vXM3ri0Q+/AZBxDpaqKc4hVOMKc+RC0Db9RW3x+d2c9AOtYQBqykdAblMrToQ35T3AUDdReMTc5CUM9ogyBah0qQJUifNy5FYh0kdlwWf+p+s+EAQ5YLRTp6/SVZYEPn7c29gFpal5s8okxhLjA7B99s1W13X2bF+DenSsbQE1XRRXpnjimfnC58sczyxErd/u08LKKVBlxHHuPlzb5e1OTa1p6KRIUaPo9ZYxdj4BVH8GrVrjqlBsAgQAEdvPZNKm05m09KQb4IvrvxvLx//wR2r8ZAkLLIzt2OW+4d+HC6SEa9y78V4Fe467Bgz69etLW7dsplKlS9P27Ttc80REYdq0qTRv7lyLMiSSju8HYIC5vfnmKIvStHp1gpH25Loojw34kA1dOJdqcqgupmQEfbJlm8tjMKNtPMVViqSkE2do8NJ1DhUDeB3Gd4i1VAzAb3x76RYXtQhqCMMYILSKLmvPBD92SKbVebntTndWABTQhMQnVH5M7Sqr8KC68GX2cl1iCdFgiouJYmKBJA/DQ5Ny5hL9wOonMp/TNK9Qb0eIuE2lUtQksqQLJHiBL1zji23q2HUQ0PejWZtdalCIHnw0NN7yCuoUi3A9MrVIl3cAA1Lm2MJwXDxnG333rft7B156fOe6Dk1xcc9Az9ibeFhrfIk+OVkiAhFVuyxVqhZhVBgCZWbrujRKWLpfeyoTIPDywGMgGCxe0QHc+71MxzjIxQCPn76mNf61EwpgIzy05dgAE/rzOtWYQACCqmRkMoAxJV3+gSkJHf0B9tr3bmJ8XwASjnDhJq+idRgn2IbcgSq1KxjpSQA1W9fs1X4m8Xka+DoXvJLUtZCPoQOTctEyGLuTJiW4ojX4Ho0cyUnrEo/eK0IAMNgxrprNWZevHfx1AIGUHy44ElvlPqFYhyxyTTa4ozm/y0v1Ddfhj2rkDyTgM7qPef5IrJertIfiOrzGwHe3U+da1KQJ0xvvRFJEf9P7ozpVdLV85MgtHFpDpq52OHoACiBJ+t//9m/a562oaKyTIsX8ZPlx9Hk9Ya2rVgDqAoyNbe6SHE06c5K2MBiYeTRL7Uhcs7psXrQEgQr0MBvuZdnDj+ZFBwLYyPzZ57A7wTSkm//4u/V39Po12nzBV1dCPYf6+n5KzA2XAR+ucdV7eT+8vuvA4KWXh9Err7xqvPa1CQk0cODzDBK+ptZxcXSvgQGoTEMGD7YpUKEEBiJBZkLjltQ9qrqVdNR/1WrHvRleuxa91qwJgaf46vKNnrrHOmoRBkNoc1R8Q4ou7ixyBBpMIIm+jgmF6AVAR+Oo0n6ThxERSGUgAEpQMEAA1/wkA6PyTAmCpz/XnZoDEQV4XaoajcsR+Qa32Vg/wco6lxjgJJ+66Df6YAIJIkn5u+SjrruF65YVjEyJyYM61aX2TaKs47+Zl0QLVqQ4xsJD+/XBLa1wOHi377y9ROvplPm2MLLHc8Xly+d/dYyFFzCw27PH3qTcI3ICznByZRpXI/WiHLkGv7MBFKGqLDkIKpJXzgKADCqemhKKMZwO0MDA27btCC1dss91L8Sc4P3t0KGmw9jDPkQEQlV0Spwr0CWAAhRqwPdW9ee9AALG12nNm95nkX8gJ2N71YnA+P5oXegjJGxv3/ornc44R7dv3PbMTbDGlahHJcsVs2hHJhUrzDFx/X5aOmuL9nOnU1oy3QNECUaM4ZyVkj5pWZ3EJeaH+/rcc81sw9MrqViXUAzgD5W3dAYDmzkSIQsPYHyvJqIBcp9L7FEPVABCPg7Gbo0KRSm2bgWbqijvFwB48aoDnuDXH0gQkYRDHCVMTztn/P7J5w5mHd/bqKjixtofJkCAc/iLEqCPrBSnE+5ATh7yxm794z9pyNy1lMbRadHwHPjm6Tjr+RqIFOnCA6n0ATtHf/m7L+ooxsGzflCDenaRMBEd+GRPkjFPAF77dhHlqQIDgOpFuNgd5wOEup1k0ADAcIz/TGDhATAI9V2/t+PddWAQiGF98uRJ6tSxA1cqHEeFChW6Z1QiAVIAZnYlJ7McWgpLGoYuYiCAAT4Cz1aMpvebt7bAwesbNzl+NDqXL8eFT1oRFxeljzckuSolytSiq7/fovEJO13RA5wDlJi+9aNcnm7sg4cknRWBUk5ccPApsS+nDZ6W8vxXho31iMJPeCY8w0hPPXPZogYlMSf9N37A+msAAXWY6oO8gDIFH/ebF+BvPLEfkZj0s5cssOAPmCA605+LK7WuWs4GHgAI78/bpL2f4kGD8D9qHnwwc6OrIBwqJr/5bKwVPdAl0GGeIwY0pTax0RYXdw3Lbc6YsV1M315C1rR79/qWkSNoJzovKg4AN70BUwmatqxqG0/2QNIKjLVzp7J0q68zF/365SzAkY8lB/Pd4ZfLHlxpCMcqvN1C/1zNixAdYdhC07zb000cFChhPJsSEuH5bR0Xxb8j1bVJo/48p+L8WMIrDE9/KQY5Qmde7AdN6DpHGkQ7w4pe0J4X+vNekpLiGCxxDhSpkpNCcY0otqYq5IjjdADB5C33Agjrl+zSGt84DzzyHfo29QR1Yj45XeLzlXHwlBWxMtHaRB6BLF9rSi7GfOQoAcD09GmbXRKX8Ea/9lq8TU2B4Tx+ygZtUjHep1cHsYQrv++igSK0ftcPLs662C8v8f0uVyyflUNQgMcIVMENvxfXODKLCMRtBrQoJhlITRlEE5rWKG0ECYJqtH1PpidIEEnLKoiVrw3ryEu4zmp2p89co1MnfZSgEyeuapOG0R+J3bly/ZFy8fcV1KP8+R8hr1wFvDeoEZGw5Yh2vnh/+napa1EvAdSWbz1IXy5xKvUBhAknDPqo+QSY17C2dalvbE2Ck+q5bxMczyQ8e0ROnz8pUlQWHrF6ratQGOTK34ltZucRIHdg9Q9HaHLqXvqFvfe61onBQMcKlS22gW5/uLdhjpk/Xaf9F3+0wMK2l199QCUK902/i+PfNWAgcgz8RQzEtQtw0LZdO/p21sx7kmMAYABgAlqToEKFEhjkGTXc8cWvka8ALejUm67cuEHt5i5wgAP8eEzv3NFKWNLlHUDlQK6aiB+xrzbv03rZYcR2ZS5kHBuxBViVR9cAFFR6kK4ysFxVGOOAdgTvPAAAjF4UGPNqADJpZy9TCkcE1hw57fjRNR0nOP/VShZ2RUFMx4RiO4DCDqYybc04rQVe4hzgmQ5oVtO+t7iXX6/d6wIIav4BlDGmLOU8BTYmRcOD670BLalOlZKWV1uV3EM/2UCBAanTXIdxPHRorJ2cF4hXHiChKnuxm7aq6tLIF/PL7hLnh1ThXqY07GSDVxfFEGPDy9uB5UrVAkcm/XJxHLyMsbFV7GsW22FQrFyf7sm1Rl/QD6pXfpKqMDWjZLG8xsRMMW4gS5wb4EHoz+tUbMQ4iCS0YWWkdk9F28YnPLMAgIECBC8gqAMIODcS0ZfP2eqSOBXzwlKmgUVy5C8UilVCthYJ6moNAvXcKkABIFj87TYt5UzOsxD3Tweg+/dvZEvEIoL09dztWulP2eAU80Lkb9HGNE+aELz3bRpGWkCgUoSZlinGDHYJwLCLqVZpxy7S3ozzjt8RdSx/IAERkk3bMyhxd6aLpy+PhXuBgmzIn4ks5xNvkPeHeh3fH1D8vCpIq+8PwNq7X290RVwQJRjSPcZyvOioQ/h9/vKFeMuRpYvG43d+RFwDvsT/9pQiNSUXQ4VwCEcJBtava90mGNtT9iYb6UKgCHWOrEyNSpaxowrq/T35Cyfy3+LcjJ+v0q7LWTSgtJ8uOWwN+bjmRbIKWz6ZOw8Vzf0o5eZIRLknClDBXHmoYG5f4T35GHX9fqLZhGsu4RpXvZf3w+u7BgzA04+D15vb4kXfBVSTQIADKBnda1WicACDbQcP0isbuSz69awEK2T/z4zvYn0Ze8xb6PAu4IdkSts2Fv9QJ4GGe4tiKR+1j7UVDwAQXmPVBFNSLozsDtUrUNUShWxDFuOEqwEInGS6zraMMwHRdTAPERFozLx+lQ6lmyfCubdYN/r41euUcYWrM/M62pbTvsQ29RhUnSz+mO/H78k8j1ARViUqzMtCeR625WHVYwRIWH7gBy34Qn8VIJgUjEAvGtO7hVWPQZcQh7HkULcu8RFG5HM961vRA/RH7sEXnIx665bT46R6RK2+rNayiauGpu4+hZfaBiOyTGRhimJ1mHwFuPgQe/QEHUN7gLQRRY7+wkDg6MGzdPoEJ4sfu+QJBMShoAupoERQFmbPTjLSFeA9b9u2hksVBXQDk6QkzikoPTkpOiXmHugSBiikJQ+xd9XLCIOxI0cRhIEbKEDwMpzx3rbqUIPaMH0tb7489tRhqK9ZvF1bbM7udGcFOQkFuWZJ/sKP00O5/2SpVql91NdQqbp2+Rc6xbz7K+d/NkYqxHFIjI7v0diRnO51Xaoyk1dysUy5032/MAcAxaH9m9g5BMILPZcT9WUwL+aLJb63gVZ5x3iQbxYNEVzhZBHbsAzE4YJ+MIiT0zknI+WUyyjGftH8gQRRH8Hr84mx5O+PANKBqjGJuahLRDEQeTvNamlpnJhsUlbCcSogwP3UKQ7JzhYcN3nFTprBqn1yw2/yx8/FGfMJPmwXY4l76J7DshSpSYIUycUfx7W2ntMADgsOptC7u7fLU7DXwSboE13DRRMCCNh29jhduPUbnWcwsPmiU77cHiAEKzXyFqI8f/gT1StUggo/nIcKMYCoWtAnaYrh7yejOVxzCde4IXh7Qj7EXQMGmDnqGLzwwkA6c+YMvci8/R49errkSdUrFOAAXvt7WccgHMAAcqX4UXhxzVJHkg94g+Mas3eXPQMfbdnqkDPF/ZGpRQtY0vS9Lbsctw0/TIPrV6eetaJt9YN16Sfo253pDm6k4yB+gUhC/dJFqAbTckIBFAQIAG8fVJyDzMsMhBqEeTzFCb41EBEoUdim5qjzRdGYzGs/U8q5CxYAOHT5ukMrWu2f3dcADlUK5aPIgvmoSblSrrL1oD8tSD5kjHgIzxJyG/CwQg0EXfE5EbLGPHXJcfIDDZ6ztz5Z5XpQyrkHMB6/+WaLVuEG3nTZGMI5YcBv3ZBGB1NO04mj5poV6Cs3GGCoWCq32zf/FtQYOFZEKGpz8SU11wGREK/KxCKZWFXsgWGxgpOXvYwaQY2QqTvytWAdgA30DRT9u8L3/hLPB82LwgEPcW6O+KBVL1+UCrDUJCgjXt5iGGGbEjOM+vOq4k0oAQLmqQNj2B7uRHScQ9egMFS5Rhlq/FRNR1TCCxCISIio5eAVRZOT9OElnzwr0fWdgsH78nNNbWqXP0AAQ3sAF9UzJf/K0VhQN4MRapDvkYjWIkpbkH8zCzyW20jTxOcX0YTEA6c8oxqhAglinrh3SLRHVCEXfxcAGEwtO9Q7fB8acaG15jEV7Ige3h/kd6hFJXFe2cECEPbu3E0O1SH0Eb/DJsU/UUzUnxTptOTd9M52p5w4nHsfx3L1dhYVQUs4doRGJm50efNhA/SpGEW9GBDIHnuAgZUnDtKaMxl0kmsU3OsGwFCcIwwr+g9/QCW6129GCM9/V4GBmDcSeiFR2rt3H4c0qdivLgEOVq1a6Zm0rB4T6tfhAAbRk8ZQ6xJMO6keQ+N3bKFJzCmU27BqtenVhs1I9wMD9YLP28ZZvERdYjLGUelF2AZjfeGuQ7SeaTumKAL6oSGpKoo5lGgVmL//ML/2ajf5BxlqQTd4KSdneR2DfYECEig5pJ67RPvOXqAdZ86HBQT4myv2AyjEsWRsu6gKDpCAKMLi3YdoWlK6CwDhXg7karHd6laxgI4p/0CWwzNFD+SiaLqaB5gjlIuEfrqJT41+RroNUzPA+d/ItJVgQALGDKYh6RlRiFr1yrsiECI6oKtuKs6hm7/wwntpt8OgMFWAFYYFEkf3syc/O0mfYn6mJUADpCZN3mQAPy/+dLgBgqBvNWruS4CXr0OuSeFF+ZGPCXRdJKjXbszF5biontpQi8AU3RKAQCRX4/Ojq0mAMeXkYi/akPw98gcIYHR2aRHtAn74rqOI46rdGS4jVL2+ULyGt9tLdlpQjtbsyMgxSDicwWIEfjz5obgmeQyADdRdUCtIe70/ADwjejWyKJkYS5dg7I86hMj1uC7NrBw2LylS+jeiQUuXuxSHUKTsjWZNLRoQqhC/vJGLninFxwAIBvNzv2dUDZsuBIrR/CN7AwYDEVykLOqJQhT5REHrttUoXNxaev0D/ejSTZ9Mb8bPV+j3//w7edGP1LH+14czHwAD9ab8E78OKzCAMX3u3Fn2Ws4MCADcz/cxu8AA4SdT+9+jnrV2PVu+Gr1RryVtP32Snt+wytEdSUYfNo+z8g6e+X6ZqyqiUC3CQUh+mszVkn+9Q50RA8GQfbVpPYqr4tSbh/TnytRjFGiSrxgvp0sYyTFMYapZsohnETEAnhPsjc8OEMA1gx5Ut0RRepgjKGULeKs1XP6dvcC/+7zAoB+d5+JoKZev+b1UnKdHtYoUzyCh4CO+JER/AEGuMWGqfyC8VnjY6Yqi4UH39vOxlhECI1KXIAnjUa57AE7+J5+s1lJwvCQAEUm4fu13OnvqSlBUIPXmAQSULluISkYU8qQigfKxmxMgE9YcVIewX8OwU/XLcR/85Q4gOtCicaRNBxEDAoQdyuQ8Fz/Gkugf6iUSURtV40J+LLWpFrBCFGFZQqo2ARZGEqrqChDoL4IAINW7d8Os5FoGgImsyW9KRoexjYRvXRRH3AMABVSxRjvNhaBu3firX2oQEofLVC5m048qcu0SUJB0NSwQHcAc169M0VLQVECAeZjUhpDg+sILLezrN9GGQEuRE4uRQzB9+R4tSESF3H7xtR3vW07BAIx7ud1kkOOvBozcX173KhIZDEjo+VRV7ecT5wK4gqoXgMLJs9e0n1V5TsGs43esHKtYlWYwrctlwDXMXr3XqP4kO1JMUQLco9E9m1vUoZfnrXXRQ19kp87zTWuyKtHf6YWFTP9Vng1CihTUod7fLXXkB8oUYDAEPmYnoE52FJSh19kRmOsPPgccAMFXBxJp5jEnzUm+d/DYNyhckgrnzmPlBJR5PD/l+o8/yl1ytH6bAULmnbwFAAeAhnNMXUr5KUt4Aid4AAxydJvvu4PDBgyEzCiuWEiPel19+3Ztadjw4dSwYYxXt3u2L7vAwDRhAAYBDNAHX/CFbZ+mKzdvUofv5zpCi0hKnhbfmXLzF15XIVGOHsCrPiVxr0u5COfQGbHYjpYdNSDfkd7/RdRBFAiLYOlQU8IzgMCBcxdpD0cEEjkfQAU4pjMhr6Ii03zKs/FfluVII/Kbw9WmMUzbBTg5xvkKCRknPaMUKF7TPjrSzkvwAgiy98kUPQBV4P2+LSx6gCmBTn7ogUOvK+oDOcVenerYCazIP/Di6IvqpTVrRdhyjbr7A0lIuV2/+jtdv+oLb1eMKmHtyps/j4O3LvcX6yIyAKlDk7IQ+gq6UBNWTcrL3nbRQAFZvjbNk36jiw7AoNi4+wdalZShNfjE+GIJMFY438MWLQjbTBVpATIA6NBAPYJyTDCFrAAS4upHuqgoXpKZAiB071DbOi/uqZd0qwoQAk1Gh2JV7QYVQp6Mbk1a+gcw4E+lCtSzvgNbkBzVMOURqLU9TLQhGKFyHgHqD0yYv137+dABAuQRrd6T4RIakC7NWkVksDDTysoVzWcJNeRnKpA/oQZ5DNCRIK+M4pHHL1zn2jGc0O6neCSODxVIgLpRFNdKqFzGXIQSQP0McgQ4P0AuCnjr9j9cdC3cd/yhgXaEBhBQ/Mm82qrR+H6BLrSDQfNGdiTomvz+oL+Owokowbh+sVS3Ykmt6hCeX4I65E+KVFeLqEWJ4jSlUwfL2EctgsHs+FOVhpBUPLpRczuHIO3KjzT70B5awnQhXUNEoE3JSGpXNooiGAgE0iwD/9crjq6wJyIe80UVHDsCfIF5ItJwjBOdv+jy9IOIQYD37Z+hW9iAAS6+SuVKlv7/seOZfnMJACRgfEOF6L333r/v7l04gAGoRDLyxhd+5lM9LSWAnkvnOZKSEWKc07YrVS1clD38+mqJsg6yF0DAzYXEab861WwjVr3hAAq3mBpzhcPgl9l7joY8Aa8m6EaiboCuZoB8fHaAAMBNw5JPUi2OBGQHBMCjo7aqRZ3eOXW//BpzXnmQJfI8QAKKz/WvW82O0AAgTEjYSXO5IJTahCcK+QcwKj74LtFRVAf9/UUP5NwDeO50ykUYR9bzxmsYUcuX73dJNmKfaAIkRLKxKhvjYn92l4heoMrpwYPnPM8Pgy6mUTlXdADXCSDkpb/upS+fkJzhkoeVrwX3tHbkkxbVp1TRvFoNeLl/MOsAeVfZaIJR46Uegzk0Z3pKp2bRjvOLvIlVm464TgvjSq266wUEVYCAAQH4Vn23i0yyseKkggYGEFihUnGxOVtLAJOMw+doL8tPpu0/pY0MiIF1NTe8FKpkud5AaUMAjToJYcxBNjjxGsB+yfaDtGTXUdd3F/vRYICKiu4wQsPRYPweYsCQxp+v/Zy74AUU/M0H4Bag2V/iMq4DQBY5NIh2QXI1nA1AbV3yD0YwgHOr708gog+6KsaBSpHe4ijAgCXLHEIhmMc7jWIsxSFECUZtTnBVKobQyGexba1nOvonnTtBY5LXanMH8PzvW766Jxg4yYb/Cf479utlOvKLL0cs7eeL9Mt//g3D+22P/8efqOoTPmWpSo8Xpof5dbnHClkOyaoFfI4e0yD3U2JuuOYSrnFN9/Rebg8rMBASpYEAA9wEKBfVq1uHevfpc0/zCXRvSDiAwTFOwh61baXDM4AfgLmtelGZxwpoQ44i7wA/NiMT1tGSY8cd05XDltgBL8fnibs9FXkG1qtmUW2qFgu9hJ48uZwCgWrFC9t0HXlcsY57ksla0cevXaeLTAs6eu0anf3tdxf9SvTXLSELm+dPfySoE1XIn5/K5c9n60ur/QVImHvgiDa6ARAjU7iQ3zF6yRZXmBo5Fm+1bWjVl8DDfeyCzbQ+zakQBA/j+AFtLOUiU/RATqyDR/TDL9a79L2FZ1lQT3BNSM5cuDDZk7qDfjDSy5YtQKUjfBrjJVnPHw1a42oFUmyH1/rcWV9FTagSHQYQSD9Hx49nqXChn66J3AE1agEv5Pyle4zJxOL6mnECc7D68iLxEp5QyMMG0+DBFQ3e3/yP6mWARR95CWNnJ6vHeOUzYG5qQqu4F6ECCGrhNxjriZvSA84zgcGOhpwRNBE1sl5I//5y++8WLe3a5d/oCte+8FLDEoeBLqRTTvIHeoaPiLMBbSC0IXz/dNQ9zAMGsKgrgtd4z3UyxNiH5s/49vXy5X1d4d8GtExOiIWiGhoKLeZmj7Wa2wWZZjR/Cm0CKCQdPkMbmOp1g7+PuuZvnsGABAGoy3CSMb5H+TnhXqXG6eag24b5H868ZEXdDhy74BfI92lVjTo0jbJUmzCe6f3B9Q6Nr0sdG1axcu50v8lw2AxvXZ8gcDFq5UZaxo4gub3VrB4NiKmtddLhGTyvayfruWGKErxdt5GdR4CE4vd3rdeqCsEeGFKlPvWsXMtFEUo6f4zByGkLBGy+7JyfPNdQrQvgANBQngFDWY42iIjD/WQ0h2suoRwXUviXLl+i+DbxngqdyK+9cuUyPzN9dl65cuWoatVqfh3tOX3PwwoMYOgPHvxiwHkGuAmvvfqKVUgsJSXV84bl9MKDPT5cwAB8wNGJK108wgkN4qhHpVo0fV+yS8ZMUIugVmCKHkC5aBQnOgneOyII8/emk8mIFfcDtBzw8ssxLacM03LE8WJ/MEuAkhNMwQmGGiRHBPwBAXj/AQL2/MgG55WrQQGAYK4DfQEYKhfMT83LlHGVq8fDY/uJMzR+6y4t1Qj39KXGde3oDBSi3lqZ5EpQltWLdh89QyNnb3Q8zPFAE2FvkwEjRw8wbyQnL2Ju9k0O38tN51kWlJ5du0+w3KkTcMrHhmMdoKMa89/r1S1LuuiEF88e84EaU2dWsJGVhXCPNjE3fMH6NC0VBMfhfnVoVNFY9Al94BE+feknm7bxA9MjfvzZl4+C/YE0cMZBG0GRv1Jc48NEG/HnEcV8VQPICyDgvgx+prFDY97LmAZdq1+/GHfthzvUnnAno8v30kulyusa1DyCQGlDujoimA8SxYf1bGQnFZuof2LuoOu0qV3BoqeIbfJSVHM/xkINOc3vglOhMn+mRIV3k4obvgu7jp71W+ke9MXm0aXpqVrltZ9RkYuzPfWUp6EuXy/WAaqQbF9QKgaH7aDjgW4nGih3N//6d7rFtVyO3nEqiH26JaIDDaJLOYA83p9Z6/eRrvK8XFgStQnGb9zr+B2WqUNw/PRfwAnCv2V912UpUi/qEOaqyyXAs/vT2HiLNuSVQ4DaAl3KRVNcmSqOywYY2PzjUVp57nDAkQDHAGF40bxQBCU+9+4DKlEA9xbKnG+MfIO2btls9TbVxQKDZtjwl+n0KZ+DEHL94pjHHnucli5bHta83bACA3GfRORgzFtvOyRKAQQOHDhAe/fuYUMk0aIdiWPQ9/nnB4iX93wZDmBQYuIQaliwNI1t0JkSMg/Rc1uWOq4TScljG7cjKBj0XfWdg5sITwIkTePKV7IkT3W5BxhMVkLAa2HEztid6kqgwn5dg7GORF6h8a/rs5vzAtDO/XrD8UOq6ytvCxYIbDlx0ooEbDp7Th7mrq7DI9S+fFktSAAYmr0n1eVhwgTlCtUmelEguQfywy2Q6AHoEwuX7aUFK1Jc9wkAAfx7OYIgOokkYC/ev+ibnSWiAog+VK70JNVgyozaAqULtW9V1ZYqxBgiGXEp51KYms6gEH1hWEBFJpEr7yZzMm24mlCPaVmzvCvC4A/UCEDTp00t20MKitGU2YnaxE9V4x3X5GVcA6h17Vqb1HwOHCdoP0fSzwQtbYvjvRqKkVWuVpIqVimhVanylzchF7QDYJo2Z7s290RWGzJ9h3CPRVVczNnL4IRB3aFeJOneS9AyV6cepz1MxQxGrc3rPnntw28IKsGb5J5DBRIwBwBZVGBO4VoUgRjyXvMOdJ+pNoTX+4Pv2vOta1v5WqbILWr6jO3czMqB85IixTy9qEMnf77uqk+EYxAlGFCrPlZp+oEk+vJQsuOZju3INXynfitHjYArt3+nr9I3BwQGInI/TlHs0Y/kv8K5HqVC/IfmjwqUdtVXDO3y7d/oEv+h7bpyihONf6WTt36xXnv9+19vL3wADLxuEO9btGgRO75HUKnSpW2D3wQMhM389DPPciX2160IARzt06ZNpc8/m0QAB7t27wlb5OCuAAPcL0iUDhk8mB597FEuPFSCgIhQuMzUtiUmhRURmc4rbwe6W71mtbVp4cIF1puJN6pIkSJUuFBhah0XJ3cPah1hqf/9bg/rmGfL1KI3arWh1Ms/0otbWdHgH3+3xxJJySyX4Kp3gE6CWoR1eNBfWpXg8pzDkEWFxV41OAR1R/EA/QUVZteZCwGDBByXkxYMEECUI/X8BdqYmcmFXM45lB5Mc8C1VitYwAdimMNZs1hRruLIlZjzeasSoVw9uKJoiEL8wDSkw1dYXeOqN+1FgIQX69d3RFdMFC5VQtZUgE4U0MF8dNJ6MEQmDmxjefXwoNfRH2DYvNa7MTWv41Oj8vIsCwqODiBgDqAb/XT9ppUXcJUViq5e+d0zNwDHyA0gIBcbm6W5MFolBgIVuJqwqXlx6HGMCcz4AwSg40BZpQXfDxSJkhvUStbvY29c+qmgowHyONldB1Wsbd1Iql+ppAskwEu7dEs66YCOiCD0jqtln9orSVlV28FB/nJNBK2rEXtndQ1AAVWsRfK5oAhdufirnSsA+dNcD//JcTgoRw/l+iOVKF2QipcsQH9+SK+mgs/eNq6ObSrmhvnJSks4iSlSpl6/rl4IjpeT+vH90iWuoh++hy+2qUMtapTDS7sJMBCILLQ4CIapaCJfS7yW87uClYMGUOjERSxjKpRwCT8IEOxPStXr8ynmiPuEhGBEAI7/yL+h7PE3FX4TxwSyFDkMoCYhh0H97noBAkRZ3+za2H5/TFECWSnOS4r0ys0b1G7uAsezCM8AL+qQKFoa8UQ+QpTg9cQVLtoQHH0fMUtAjhAIQDAzc5/xNnUuXtkCATUKlGT6cUEX3ch4YJA7kL9wixWKUq6e4YJqv9IOBg0yYHgADPzf0JdeGkqRkZGWwxv2H5o/YIBaV2pr1KihZYt+Mn4Cde/eXd0dktdhBQYw/lesXGGBAhES8Zp19eo16KlWrfzyrrzGCOU+RDQ++GCsdsiKFSvmKA9CBgY4QY3Hi9DCVgOtH44R25Y7kpIFOADtaNHBAzQicYNjTlA1+Cg2zi6EgroHX+7d5/jxwgFQL3qhdk2Kr1TRARCwTy4WBu9/2qVrWt48+gbTkIhbr2RRqlm8aEDUJIAbRAWSz/3o1yjHPEDxqV+8mJUPUJbViPwBgGDmLvoKytLig4c954TojAoQ4HnSUYzkCtWIHry9dAutPOysXAlD4bPera26BzBch09b4zJaRWIy5mryfKrcaBiOm7ZnkI6bjnGQtFu3ZmmXpCf2eTXUS/grUwDQ8rJ6TzDJygADm5N+oO0sU3rpalboXj4fjDq5+q/Y5w8QIDrwVL0KNhVEHAdDZgMnfM/dkua6r6KPWMLAqMTGu1xMCvsql/LxvUU/eQmD5RrzxNFQxRbqMYHQkODdjK8TaRszYkxxnZs5aVw1uEQOggCBOMaUZ4J9qlIVtiGBd8XK/UYaGaIIreOiqGnTSuzc8QbaGC8nTdDaoFRlkq3VAQLTNQNMympDAFtjZ2x0ebnV7woofR9/n+T6fKgGp7hWSEDPST7oyiMS+8US320Y//DqR3gotYn+uiXAR+aVXyxxiEALSOK8qHTfsHwJV+HIUIIEMV98x3CvhToXtgu6kOgjluWK5aNc/D1DQzFAf0n/yCFYy2BeRxnC+/NM82rUifMIACTwG6uTIZUjtHBEeUmR6mi7LUpkqQ7paL9CbhwOOSQXq44/XQ6BP0AAMNCiWEVq9GSFsAEB603w808oHQEsjI3r/SBi4Od+ybv9AQM4pa/wHwr7qk2wV8LJqgkbMMCF1WAPtb8G7tQzzzxzVxIq/M3lbu7HByN68muU8kuW0o8AB5hHj1XfusDB9JY9LOMfoUpV0hQ/MKM4VNk9qrp1GUjEnc95GmrlReyEh6NvVBXqXaO6w8ttHaj8g+cbDdWF0QAaHuG6AKgCrDa5XkCZ/E/wg8fplVX743WwUQEAgVblylqRgGDUhHTnzs42zDeRAaMXSNABBNSY0FWoHsVJbN25QjWaLvcAnNfFL3SwiurgIfvFip2uByEMyTG9W1ieZvRZvvUgfblkt+PydJ5lrwgCDkYUoU3zyo6qoo5Bc/gCRtxurrLsBQYwBxQzUulCOLUwlL086XIyopiul0Eh+giuddWIwlSFjX/VSyn6ZWeJ9whAbwcnhXpFKIRxo9JTcLwuQoS5qHx4bIN608xFu7SACwDh+T6NHJKQ8NB7VZnGmAAJUIuqwrUI1ARx7M9Ow3n37TtJu5JPeEajUMOiR4/6DuAZKG0I89JFCfD9eG9AS5urDiP5s2VJLhEA8Z4Ig1NcJ767k5ivbioaKbz2ZQo94TdpWIyZnSXAQuqZy7T/zEW/+QvIaWoSWdISPVDPFWgETdDhEOky5c2oY+fkNT77XmBe9/4ArA1bvNmRS4A5jGxZm/o3qWFNB8+5vvNXOJxhiG7P6NnWkr9OOJJB/Vf52ANi/v5UhyY0bmk9j2FAT2Xq0MSDyeJQa4k8go8bt7cdel6AAIm/QypxwnKFep5gIP3aaTpw7SRdvP0LXeA/tN//86+U+uuP1rrpX9MCvqhy5GNc94fPlZv/yj5ahBUSH6MCD/noSKZjsR32jM677XVMuPaFay6hHBdjoZkiBl73RhwbSBkAr3G89oUNGCBaEB+fRbVBNKBS5cpUvnwFKle2rIWEBI/qpZeH5cj77nWB9+s+vLlQJRq0dQ7JigLgCM5s1o+/kI/SR7s2OJKSYfx/1bQTxRQva+UVvLhmKW2+4OMGiuuUPRTYBkP2q+RkmpF+SHRxLJGk3IllZWMifIoijp1hegHPyz5OGF5z/ISL9qSeUlB1aj9ZjBqVKe2KdKj98RrhWtSDSLno+zHcfSHrR/H3f/zNIQOL/rivVfMVxKrV6hYtRoUffoQalSzjeT7c21VHjmqjMxhIlo/Fa1C3Xl2+0UXbkqMH4L8OmbvWwUUGOHivXQy1ii6LYchfYjL6mDyiMBxH9491yAoKgJC4O9OVpIyx0OBxRZGhKE4iLMmKI5HlsmgPvh7+/wMIHP7hIqUfPa/lwcsj4Hzd2la3kokfuuNFFPuzAwiEQeFFmQBdoiknXt4tI0dcjzDCvOQukVfSmhNC5QiF131QPd84l6nOhReNDDSjTZsPG6MI4hqQ8BsVzXQxpgOBKuYvYoToEhSrrl27YUnWnjhxlW7dyqJQinHF0ivnIVDaEO7XG1+sdkUJZDUvnM9UdFDO7RHz8gIESAzuysZ3XNVyLgqPON60FA4ZsT9QR4voL5aC0rSQpZJ/Y6Na1/D70oPn2aNeFe08xefTC8RiXBjlddlJUb1MUYoqXThkQAEg7RBH3FJPXnQ5RcT16ACBKRIrRwlwvM5pg9/kr7rFW86thQdSafiGTeJU1nJG23iKqxRpPWsGrl7ieKbgeSKkxaE4pDIAMMA7NZvRgOpZNZumH9xKXx7Z7koo9gcIdlw8yvQeBtNXT/g1/h0XEOQLAIeiuR6nIvxXPX8ERef3KY+JYUJpNIsxs7vEXP5r4JDsHm487t+nfRky8COM+2CBgbCr/2lzDETEoEPHTjTyjZFGhSFcKLKvH83zKE2dOs3Yz/hu/ZPukL9Io3cuIZlHiB+DFa0HWVJgOsWib5p1srmIOmqRrHwgbo8/gCAMcJ3qjhgju0vhZYd6kCqvqhtTRAWaMhAIhBqECMqBi+dpw6kTLqCkGz+YbbiX9YsWp6alytp60+rxIjqjo2/hWibEt3Zch+5BhNyD5f272sXZJq5Npq+S0h2nkj1ceFi+P2+TKzm2P4fPB7dvYB9nUloZ2bcxtW8SZffDCpJ996Wepg2ctLv/4HnHPt0LUHvQIli2NBd7XNUGAIAGapCJHiQfAwWdViigVa2UQ2pU9PEyhEVERBchMNWHwLgwKKAv36VRVECGDIBb2tnLdm0PSEpeuFPnQ8xTLFHUTzRITPqTl0RfgL41e39wearFOHh/n25Z0xHBAIVsxso9LpUY3BM5eRZj4D1evSHdqFQl023EObEUPP/k5OMByc3Kx+ZkXdTR0EUlvGhDcsVvnF/3PcD9kXNwAB5f+HyZS/8f0SNRaFBcCwzukd9vcQB4sQ90nReb1/L7fuN3MfXcJauy+3mWVw5UuEGIQQSrHgfP+baMM9p6KmLuiCLEVy9vnDs+n/7kT8VYMlCIYCUuGdSKPuoS7wGAyFUGcQACezn530sBDGC+V1OuyFyxhOM7EUiUAOfW5RMIKVLsH712ncOphufklLZtLEeaLnKP5wWKkUIxEKCg/coZjpxB1Cr6rGlHO7kYUYIBW2Y7mAM4rxcguM11CRYdT6JFp3bR6ds/o/s9aQALdQqUsYBCfLUGITOac3ox4QQGXnMLJmKSHWCA5OPevXpaqp3hzC/ANYYtYoDBkSQxaeJnWp4U9osmsq3nzZ1LH344LkdJvWLM+32JD0bKiQzK9e9/5NDgn0gFB4gcrGs3zAobQsHgnf1bHJck5EyxUaeCAK/F5JZtKaakU+3Fy4gVJ5BBQm42WIOh7Ki1BAKJCiD3IaZEMQo0KoBzbD+TSfsYDCRxxOTUjd/F1MO6xD1tF1Ge+kTXsKtUyif0urci7Cz6I3owdv12R30JWQoP/eCNHLLI6anCg/vtTk3FMNrEZNWzCYNaV6wJXuWXujdyRA/EwIgi7GWQsI6TPo+duiY2h3wJcNGAKyybwABOmF1AAMrQp0uSXIYexhRJo6pBgX1yQ3I4tOVBzTh8kau43skZkPsEsw6jEYDBH1AA8DMVzYLBJSdUivNDIUZXpVcXPfACCHhPBvVr7FB6EufAEiAh4+gFVsVgL+WBc56efvm4QNYhlxpdtTjVrVNGq1Rlnd+gNiQiH6L6M/rC0Bw1eY0LNKn3BMbou3M3uT4rcg6PmL8ugRX7/AECGQjsOHM+KPU2cW7TEr8djdnL3aJ8BDUqW9KTxglP+g4GCcsP/GDMhfB3LZgHQEIgxdTUOePzi3wduR3hqs2mOgtyP6x7gflAowTIqev1LXv6L2f9tuEezunV3paV1oGClX16Wk4eHSh4tmI0vd6wmRVl1oGCzlyt+MMm7WwqEKRHX0xa6IgSeAGCq3/5jaYeWkerz7NwC9ODTA0Gu0oJMvUV22/919+4OJqP1rznaqa1OZ3pR17nEcdi+X9HrWIGxGnLlpG334v1cAKDYIx/r2vPDjB4660x9O2smQQBnHAXAQ4rMPj00/FUuHCRgDOnUfRh4MDnKZxJFV5v1t3chw/GE592pxK58tLyuDesU6vgQOQcIOlY90Mj5EzFvMdsXkszjzq9zCq1SPTFErxJKP4E4sWH8V7i0TxUkYt+PcxeE7TdP2ZRdPA6GAnRFiWKU8uy/PB/sqjDm45xTA3FYracznRdo66/oAc9ycpERZgW9DAb9WXz+gpy6frfYiWo4z/5HhIZvEw8f9bh6VGPQcJ358jKllysug8AQVd8Thc9WLQvnV5J2OYYYnqnVnbVZHgmu01d7qABIBT+7fMd7ORBGMBDpq52PFjhSZv6UkeHF03nNcWJkZz7YteGjr7yhAASjhy7SKfP/URpXKQsJ0ABUYGqTDWpHFnEb3KzFyDQJduKOZuiKdgP0OQvOoCowMJdh8iLfiHOldMlgF7P+lWsHBLdWDBsoT+vq4gt55bIx5o49Gr0AMcIGpkuEV2tlC2fQ14XVayFWpU/WpA4FiAgogwXzGOlqpIl81mF8rwS1gFmvp67XZs037ReGRrYt5Ej0gQ63YAPv3ckauuiKAAFz0xc4vj+6O6tl8zlG20aGN9D0IJWpGfQrFR3pWpxL3RLGKq/3il2ptvvtQ3SyAAJ/mrB4JoS0o7Td0w10oHeQAAC5iE+p4F4+b3mbdoHIF+baUrVGFibwLwpSiCKlYmxdaAAIhlTe8TbOXcqKMDzb1aXjp6g4P3mra1T6J7VsiMPncbvT6CJTB2SG+oBfNygK9OI88ib6eRvl2lcylLaevWYY7t4IXvuVYqP6JPdJaITOP+J3y6yjOmvRsoSgEGojObszlUcB9sqHHMJ5bjBAgNhG98NUID7GFZg4JVZLd5EdSmkmO4HuVJ1bqF8jQ/G//iwrTVkv9L16d26Pa31nIIDHbXIFD0Q12N54DNPBQwSxHHBLEVUAFSlagwGZNlUr3HgmZmbnkIrTx7zNNQhCdemdDmqWaQYlcmbz07o8hrb3z6cexsDkXWnjjs4pPJxuLeDq9W2q1jK+3QqFojGfBzbwuKnir5QLhqwdJ14aS1VcKDSFlSeLIzhV6evcXg84VmbNbyzgyJjyj0QVBxZ9tIxIekFDDSoCCFfQG6nmDN+i6Ur0QS9CBQj5CSgFX8yryPJ1dqo+ZddQADjxCQrCUNvWKcYx72QTy28qN/uTNfSQ+S+4GRHMTgr+ujDVJh55GiFeL3gnWrHqWeyqiCjiNV5jjL406/H+/l0g2g7j0Q+H9Zxbd9u2E8zNqequ0jn1Ta9z6qnXAwGWs7kWYla0KdTMBLHmZZy1WtdHy+5WrW/V3QDuSgqbQjHb+bCdm9O2+AYCvk1Hw2NJ7kSL2hmr33r7AfwOLJHM8exOqMTnwNZ5lI+INB6McLTX4eLSpblopJopnwCRBxQIRmVkY9z4chA1ePAl3+mTjWK4UiCV/PKlwBAgJqRyHPyGgf78HuEooDZiSjgeACBCvx7EUi+Ar67X2/d76JeIsfjk27NHbQoRGo7zPjOAbgACuY/3dmOsqigAA6dhb17+CIBGuEPRAq8QIFM/UUi8kf71jiow7jed6o9RQOisiLB2AajfPrhDfTFD86oMfahwW54oUqrgJKDfUeE5j/mlXb9tCO34QEwCO7eBgMM7jYowJWEFRgEd6u4NLykZBRuDlWwcwt1fxkYYOyhFVrQiOrtrdPowMHqdi9b+3TeCDVyoKMW4WA51GkNpvkng4ScVBNGROARNoLrFOPiVUFEBcSUEo4doU/2JHnShBANqcNAoFGpiJAAAXFu3RL3ZQ3PaWraXu2cZK1q+Xg8zF9PWOuKpojkNdE3iSsnD2ZwIHsIX65fnQ0PX4IaHn6q3B4ME6FYhHFgPI5dsNnBTzfRTmA4fTIv0eFNxRjwxI/o1chWZ8G2u9Uwf5Pajs7TK88LUZMxcza5+MgwMF7vEmOsQiuMCq/oAIx2FIwqx/KSVUsU0iZoynPRreM86WcvUQqDBq9CV3hPB8ZEU7e6VeyIkDyeifIC4PPxc3GuqI8peiAr8MjjmxKU0SfQCII8Xk7WvQCBjjYkzvXJ7M2umg+oS/BCl4aii7WczApfKtAa060xdWSJS7m9u3Sri5evAnO5P3KIJicfcHyXxX4ZCFQvXsTOKRL7s7PEb0wmRxa3HDtFKzMytefFuMhNeK91kxwBBPH5FGo+gc4X3218duV2m7edvPQzFWQDvsBjua1dgeQhyGOY6sAgSvB805qO75AOFDxTrRK9366FPaQXKICoRYt53zgcVMGCgh7rpjnyCUAdmtucVRkLlLDngBUkFb+U/K2LylMq1xPUvTQr2ZWLuS9oO5grgEL5kqXC4qXH+ME22Fb/KhEDEyhAbu7ly5fDRru/r4CBuAn4IPz/AAxqTBvqUBKY1+RFaljEV0RIBQeyR0EHDtRQJe6hTldZl5iMvl4Nxb8u88PnGBf+MjVIlZbLz556pu0UfMTnRTX1NW2H8b3gYAotyDioNb5xHMBAi1Jl/CoGmc4Riu2gNC374TAt5SiG2oREnbodyhYfbN/hqC2hggPdg0uOHGBM1UhRwQH66AyeT55u6dLFx8NaJ22KMbzyD7A/lE3MY+66VBdQEZEMXVKxmANUZN5fnCheWksAIuiY942t6dguv4AX+L1VO7QUipwoysjnMK0DKKxlCseMHenG86veTnksnXIO6GNv92nhioqYogcfDGxpF7+Tx/ZnkD/Xsz61iY2WDwn5ukliVQACUyE+FRTg8yMnGIuJjlu4xaFwYwLQ6vcNx8siAGI8LBEleHHxakfekNgPo/zVpvX88v9F/5ws4WTwAgmIILzUuK7NpTedyyuCgO/HsNjaAUcQTOfI7nZ8f3S1X3RRApxD99uqggJVfUiOFGCMvksXOMQtggEFOL7P+ukOBUKZKoz9ok04sMIVJXjsP/5MY2t2o9YlffKqom8wy6M/Oevk4Nh8Dz1G+f78aDDDaPuGyxjXnszPxnDNJZTjYiw0L1UiYQ/r6ENQ9Ny9ezfNnj3Hz93I3u77ChjgElA2Gq1NmzZhK/dsneAe/8MHA8k68Qkf2soC+PLv7DDW8gQg5Kh6F3a0H2EpFWHq8F40/36yw3shhyzF5aVdukAvb1zlMrTl8uyi771a4lrmM11o7tGDjusR8wGY6RYZdVciA+KcgSwx73FJW1wAwZTXAYClVs0MBBws5IQ4mQaA5MdRK5PsKcJ7KeccYIeOIqEDB+gL6s6Xi5JoI0tTqs1f/oHaP5jXOQUEOF6NkOD8avK1OieTUYF+Xtru6jiheg2v53wuiqUWuMP4JiMU+3S5FDr6GPqi6aIHeH9f69fc10H57w8gdG9Xg5o1rODg9StDBP3SBAgwkBelCZ8FNckY0a9PXop3JdfrQIFKucP5VFDgFSXQRfwwBozP9tGRfo1w9A1Hw7xm7UnVghXkIYx8qpFfR47X5zNYilEortGU/K2LEuB8OlCgOlxQxLLVnPn29FRQoDrZZFBgPauVukPqs1h19KFI2YcNutiJyDgxPO99Nn3ucBZiO9gEAyq3DDhCcPbGZdpz6TD9hROKM3+/QMd/+5Fu/pc5WRnnQKuZrzwVfOhxKvDnx6ly3ggqkacQPfTvf/Lt9PM/lEazn1P53R2uueR0XIjsnMz0JXYLKX84wCHfnyt3boqIyBKK2bEjiXr26G5dK2p9qe3cubNcZLLE/z/AQL0B/6qvxYcMBUnabfzUvsz2T1alzxo9Z72GlFnzFRNs1QJZqQgddJGDxa16WXUO7AF5BZ74UZsTXAZsdqIH8rg5XRf5A2rCtBgXBna/6JpGmVDRz98S9wnl3EVLuXROrFrLGoWLW8uqBYs5tgf6ArSnkYkbHaDGRC3SgYPvunZ21JFQH2SgH8hSppjXjG0pNG7DXnuKMFqWDO1mv8ZKMOAA/SF7OWnBdpfOO7yuHRpVpNi6FVxGFo4LtkE9Z2f6aRfdA+MEEiFAPx11CEbxuH6xRtoQjoMX9C0GVaqmOwDBiLgGDuoB+t/NhkTQ6Vv2B0VbwfxUQxfbTCAQ7/HwSasckRl/4A8AYeGyvbRgRQqGdjUY7C0aRWartgUGw/heMrlegADHA9iq9QmQT/Dl651c1Cr1XumS9DGmDhSo4Bv9ECWYytShz5g6JDc1mVXedy/WkQD93rpEhwoP5oHflsFMWRwQU9vvtPD5HJ+wUwtg70YEAUIMH63Z6VJSMkUJcEHqbym2qaAAVKxm38y0o7nIAxPqQ+gP51rc91meWQhPzOnkywnE/vG7NzqKl6nRexUU6CIFOlAAR+GsxoNcNQNwTrUBDGw5t4+2X0qji39xUrbUvsG8Lp+nGFXLV5aaFa9FJR7xebl1xwt7Rrfvbm8L11xyOq6oQaC7HzD+Ze+/qPGl6yu2qceI7aFY3ncRg1Bc1D/DGPKHTA0dfswhw27MIURLOJVGz7GkmWjwNHzRtI946QIHSIZd0a4/RTzuVuDRGbAY6G5HDwAIxm7f7AjL2hfEK/DGDKpdP0d5Ayg/v/nsMVp5JsNhsMujzjkyAAAStUlEQVTnMa2jImW9QiWoZ+VaDo+OqT+26/I68F4s79LHJW0KcNDg65n2cOqDCDvg6evBlThFwwN8z4jn7AQ5bFeNF1XKFH10ikUmoxH90Uz5B9gHg6tNw0hqUae8y+jCflMT0YFVSRl0/voNbTcYqP3ia5OcHKrrOGfjfpq0ylnZGQbe+AFtrOrPumNMUQIvo0I3zt3YZkp0lYvcqfPQ0alM77NOrcdkSMvnQcL5inVpWlUg9BNF8OrVLE21uBaFWphOHgtqSCvXc6K3h8qVP9lUjBfMtaifGwDJde8/4/ocq98rXUQO59ap22C7rIOP19lpMFav3PR9T3JCz1TPDaGD8Vt3uaRSAWTGd4gNKOcBEYSvNu9zGeg4F75P/RtGU2su6pbrj/+hnj5br70iFoiomfJxAgEFcJr1mLeQ9l+9as9NdtRgf52ZX9rPEPymb+r9nP1swnOm27qsSAMkSb9omeWgUZ/fgYICKA19wQ5CSJmbGiICW3/cT+vO7qFjv/9o6hay7Q//+5+pcRGuGVGoCtUq5KM8i8Fle0Zsu1fLcM0lXOPeq/vkdd4HwMDr7oRxn/oh65DwkR1ChKcgvdsE++yqx+GbmB4UV7qqvV/9cUIRlR29htv75RXQX97YmOAyyoexss6rrMEc7qaGZMX5vNR9RB9/S4uSdGQvzTl2wP4h93eM137cx9dqNrWLyXn1FfvG79hCk1KzPPm4rj3PDnGpMEEqtv+q1eIwgmrTzsEv2K+xoqoVqZxY9On/zQrHA/rL7i1cvF+dHOOy0b1cXHSMJ5ow5L9c4jTAxX7B3a4bVdJlWIk+MNoOZV6kNJY63Ztx3uGlFn2wDBQQoK8uCqIWdUM/tan3Cfu9jAr1eK/XlhHH3tSUcxdYyvcPFIqkUgAZNdkcc5j9dBw1KF9COx313sDw/f7NXlqwhPd3yMdLHdGhQMABTiyM+jVcEfnmbX01XfSDhCgqZd/+i7MP1Ku27vKF1NFPbQAEfbvU9RuBwDW0GzHT8bkyRT8AkPtMWGKfykS5CoSmJwYZyvkEyzKy6HfII5jU8amgaUP4/GSyswA5XJCATr1y1fZei3NhCXpLMZaMjmTJ6JrFigZVX0YeB+u6BGldZFI9Tn7tBRBEkrLJaJfHMa3jO6BTG0J/UJi8JGLRp+/sJQ4K1adxTah7LWduzLTk3fTO9ixa5sSWLahH9Wo43GqqBPiitl0dtYEqzvzAftbgebGuyyDbmQSKUe3veD9ThNCQaLy365v2fmsj/3t5+ze0gmsTiCarFIpt6hKgYMT2z42AAJ7+Mo8WtWlBD/G5TR5/jHX298t05sZFuvaXXy360f7r7vw5eQ4Yf3BUZ6qY11cBWbVn5L53ez1ccwnXuHf7/gRyvgfAIJC7FIY+6ocMWsHN1rxvn2lK/WfsRCM13wBeB6FSJA5IyDxEz21ZKl6SynG0d9xZgazph7u5BDvr94sWTmoREnbHbN/oynUA5ea1OjE5SibG/ZnKReAmHkwWl6JdIhKga+du/konb/6m22Vtq5G3EL1Tv5VdrdLY8c4ORGae37DK7ibzUe2NvKKCA7UIGvqO35jkoClsH8wRiPw++U/sx8Pz6a+X23KY8NhtfqMvdjmaCg7gYZ/7Rg9HH90L0DSWbUmnrSmnjJ5+HAejMjdTjsoVy0eXf+LiaB5AQPTvHluVvICFOh8UVBo0JQtMBUIdwhg6D/C4Ls2MuvPqedXXAGzHWC7y6JXrDsND7Yckz4oF81F5lqH0V3RKPVa8VvnUMLi2j+xn9Mbife44NsuD6fU+w7D+aNZmR24JDGtTzoGYk1gKCtDMRbsCqmwtjtMtkVRco0oxatE40m99C3H8mK8SHHPXKQ+Jvm3f+tZWrDKBAlBl4iYtsmlmpkgBxlRBO/j6H7aLdUT0xLlNS3ijp+zcRRP37jN18dwO5bculbmWSqVIz36mnQAkb6zY6PgMBwsOMLY/gNCmUika0KxmUGpeJsofPv8miVj5OtX6MDqnCq5fphB1Ll+OvuzY3h5GjRaozjP1mbu2fX/HM2L6wa30Tup6ezw5R1BshPpQ721fiZeWBKmQLrc3KivX//obvbVrugsUFHnoCWpUuCq1jWgUkoRiQU9KvX7CdS4xpaZ8voFRnahamciwKAGJ8wSzVG2rYI716huucb3Oea/2PQAG9+jO6z5ksucAsmTbOmQBhbSrZ6n12qwfkLWtX3RJnPVZPZs2X/QpD6jeC91lgv7S4fu5DnCAfqGkFploQ/Ckj2scqy0QppuraRuiJWOS12oNewCBLuWiqVrB4nbo1zQOtiPigLyO5cfTaeYxt168WrnSayw1cpDQpa82V0KWxwOlaN8Q9jj94Q+OoWMmzrBD/zA25/Tr7NiPB3OnKcvsbbqoAXaqhrVO/94eRLOCCMBSBglLE49q9ga2CcZbx2bR5I8upI6mAhuTcaceF4wHWD1WfW2iYaj9dK8Fl7sneyxzcVQhmKa+v/CWznguy4BRx1JpRf7eZ9XAHtm3MbVvEqUO6/laFME7lHHBSDVSBwAYaNO8MjWPqWCssqweI16rdQq8QIFKIZoyKF6bhzJi/joHf37XqH5aYxYGZYvJc21ZUFUHX8zRawlP9ZcMCH75e5ZjRu2PKOKvvN+rD45Bv9djGmYbIKggJzvgAPMw5chgHxqojqj7garfBfPkdtxbfMa9KowDEHhR6Xxn8P0HxavOhG/s90f3m4me/n575ei2LvLbcP5E+7mjSoar0YJny9SisQ2cv9vIK2iwfLQtSVrtsWJ2sVP5euR1GOtDEyc4kolhnPeObG2MCMjHZ3cdYOToT6do/bk9pIsmnBm2io6fPR1wsnJ25xHIcTrbKpDj/PUJ17j+znsv9j8ABvfirvM58SFLzcywzi7kwtRE5JWxrzgSj+JXfmZrIKNK4tynBjhmjyTbht9NtrepP1b2DmkFXhFdYjISrD6KjQvIoJaGs1dhZE/Zm6ytUoyk4pExzbI9Nk6C8cftWk9LOIdAbvgBH1KlPsWXjcrR+GlXfqTPUhJtoCXOgejBhCYdtDkcog+WuK+tFnxjR0gQGVnXkzmjitEPIyP6y6/sQ3VRA/XBvaZ/NxddQabKeHmVB3+xjJKPX7DPN3dEZwpWO9yrAJk98J0VKMPUjCxK0WWLUBX+CxYQYBio73T5YL6jMm0g84bXcciiTfaUvDzAdifNSiCAAMZU1cL56QZ74VMuX9OM4tuEfuPimJ5Wpbyxj26HmmzupVaE49X32Ys6pqMVzRzdhSpFFNZNxe82EUnYtf+UXfAOBxXkz0IB/kPLn/dhatKggrUe7D98/nqOnmdTiLwoUOpnB/UeJg/t6DqlCr687q9KUVGjeK7BpQ0oejh642Y6+fvv0lammbBToFrBAlS3WDEqz7LPZfKx9PMd2Wf8loBqdPn3m3Txxg2WdD7kOh6DYYwpbds4hAwcJ/F4of7GZBcc4BQCIKw5ctqOvphOje+kv+J/JrUh05gqxUv3/vj73VWjBWrUN9hoQVrX0a6Kxmpuofq8V69PBwralqhPw6tnJUKrx4Tj9b7LR+mLg985kpwBDObsWkVNitUIxymDGjNcBny4xg3q4u5S5wfA4C7daPU0+JCVnNSW1C+2nGsgKxTheDWRSReaVBUS1PCmOg/xWpeYbDJmxTGmpUqlEf1AVXq7UazWcy76BLK0vDHzWK1JokHhOAChN+pB1u2PgQwTUB9dRMIrh0MeVFWzMEVi/HmuMKYcNQBt4Ytu8fKprIdxvQ9n29s+bBdDXetWtl+LFdVQguddl4Ap+vtbwqhEJOE2K8ucuvCTtcQxpYvmzTYQUM/Z56OFjorOpqRa+TgYJ/L9AFiSi8HJfb3WVSqX6AtqQhGudlyjeFFXpVp4LDOv/WzlHGQw3UjmoYvj5eJ1Ypu/ZecvFjuMKJNHG+Oo77MXpQj91SRe5JBsnjIIu+679tL4pbTnaBa4XfxBb6NalqpCtPGDZ7U5F/K9BR1vxcvdtXQtlaISTKKxSh0UN3Z47Vo0qEE9l9NA7NctIa/52Y5kV+FE9F3Xt1e28g904EAVPNDNxbQNNMfFuw/RtKR0vwBBNwZAQ7CUP6gvtZmx2B7O9P74+80F1XZE4gZ7nNT+QxyOpvglUynlp8vWfkSm58b3s/sGEi1QqcNygVN7IGWl57oxDmNctR2U7mF/ufCHDbQoc7MVvQAwCEdRsexcRLgM+HCNm51rDPcxD4BBuO+wYXwBDJDEM635G3avtWdSaFDyLOu1moSMjQ2/H0cnb/1i7Z9QpwP1qFDXWhf/8KPU6vspdojznZrNaEB1n8KR6GNawguvJibDmF/QqXfADy0dPSlUtCEx7+mcT/DO/i3iJcFQ/6xpRwe/094ZopXRiSsd9CKdLKzuVEMTltkysarMneiveq90D3b5oQ1v3pE3B4vD7aXMpfeim6iUokC87/ZJ7vIKDNzYN7MUnAJJNMYUVQrRxuHdg84pwPtS/dNvHFcMWsJo1n6X8zwcHTQvMM6UxL00K/WIY6/Ok+nooLxQOfBeXm0cqr7Puya8YEwUR3/IyL40MSs3JidRA4wXjgYg2njgFHtof7QnObfARKmCAVvlren2mF4J3nK0wERRsQeSVuCBrvXlFActCJz2Uc2a2pEBqXvAqwAIyw8foRnph+xjWpQoTnN7drdfB7Mi/87gOFXaM5ixRF/cXxTzO375J7rw2006ePEnLVAAEKjI1cVrcJXxMgUfD/r7ivONWbnJ/p6B4rXyhV5iGo5lg8lT7aiLLkor/26r0QIMVHDKGHs89Vmg0n510YJvDm+gsQd93zW5fpE9qLICL/1ru7Iiy/caFIjpIXEZAOE9pjY/AAbirvzzLx8Ag3v0HgpggNMndZ5qz0KlE/3YJ2sfOskKRXI1ZHsAXpENZ9WbIfczratKDLofRt2xABZqyXh4yXtG1QgYWOjGlbep0QJVHk7uG+p12Us0PKo+vVo31u8p1KjB5WGjtcf0WbDI9v6pyhg4ANJ7jZjXLNql90eIVXsJmct+3yZYr01JyKKzTDUxGUyi771cynz5Yk88Qqveezqg6ch8cZ2MayCDyEYGwNgcLjRXtVj26DU4nyqfGIxhKeY7cW0yfcUeWLR2lUvRhF6txC7tMmrQZ/b2QACg7I0f0rku9Y6rZR9/P6yo4GX/nGGe05Kv30SnUmlEpz8ZYhyz0geTbe66WnjQeBDvAIWo63dZqkg68O91vL99ajRi5/PPUgTTkbLT5M+9LjqZnTHVYwAWTnJdAtEiCjyhjdCI/YEu202db1P5dCpEYpwCY8eJVW2ERa5y/HXLto5cOJWye2VQVi4gBpUj+zqhEPR5e/cCmn3KJ5YRSLTgm0MraH6mjxapOhMx3r1u95M3PVxzCde49/q9053/ATDQ3ZW7sE0GBktaf+hQESg2N0u2MqPbRIeWsax0oMszwNTBj2+9YoZ1FfDWH332zaCuCN6tnkvnUcr1LG1nf+BAd4z6gxrUJAydVW5nWu9XHCFew2Eh2bzwyD4asdNneAdKJ8J9KTNlvH3+pN7Pu+oaYKcc2ga14LVmTexjxErhMRPEKum8zSgAFDtxkd3Hy8CREzJNvGt7oHu4MnJGAq1PO2XNABWNR/YITFK3+Udz6MyvN63jTMnYXpelRgtMlASvMXT7VI+sLl9Ed5zYJoM/0KMOvPu82KVdygBwTLfG1LFhFW0/sXHq9zvo27Wp1ss6LDX6+audxK77YinPL7ZmBL3/YpxxXqpE6cEpL2v7ytEleK3VQoHiIPUzceAV1rO/kwcg+piW8vdbVb8xHRPsdtkL3j+6Co1t7Q0aTePLn1FTdNJ07L3cDgpfWQZuoul+I7FPrSNzdfRIcYi9LDRprL2uCkf4e74G8ox+ZtMXtPXqMescct0i+6TKikwjGhHdjeJLB8YCUIYJ28v7yWgO11zCNW7Y3pQcDPwAGOTg5uXkUBkYfNXoFVsPGGPKwEBNSJK9ESZgAK96xIwP7Ollx3jWGfomjjxOJHtY8NqrL/Znt8nKS3czWoD5IiJSdd6n9tR3dB3sNwkZnRvOmmwnIZvAkqynbaICyHkGJoOy1Gtf2vNbOqgjRRcvZL+WVwI1muRj7sV6zCtT7aTjQHILMEc1v8CLi2+6Jjm3AMZRTrjW6jnk9zFYj6x6bf4oUjLHPhAaluyRvx/zDDq9OsuWzfVHI5LrOnjlWAQahZGLDgZrMEd+OsmmEc1oG59tBSH1syS/XngglYZvyEq2P/Xq8GxFalUDO5jIiDyfu70uvz84ty6qiu2gX7Wa45P0RcJ2xivuqJMMDNT8AtlBpIvIBxLV93rGY45yQ9Jxv01ZUQnVkSj3vVfr95PRHK65hGvce/WeeZ33/wEAAP//qOcAKwAAQABJREFU7L0FfBbX1i6+vvu/35EWq+AOCRYcgkMSLBSCu7tbgUILBdoCBUoLFCnuxZ0QJGiCQyDBAwR3qWDt6Tnf/d979zPp3tmzZ8+888bg3C/790vGto28M+tZ61lr/cf/YYXSSqpfgdy5clCB6Y2NcX8I/ISKZy4o5pB3RV+xvjX4EyqTNeFY9ONb1GDHD+L4o+7fiXV5JfucMWJzR9MeVDZ7XrHtdiUs9gL12r1NVPfJmIkOdRsgtvnK63/+kwrN+ZZv0gd//Rsd7z6Q0v31r2Jfcq3I5zW1egi1K1Exubp21Y88vtvr2nnjKtp775bR/xdVAql3xWqWsaLv3aP6y1ca+30zZaLDAxKeAV6587INtO/GXWNzbO2q1DugEj8klnUmL6ebv7w0tjf2a05l8uUQx+SVJ7++ouDPF4tdR6f2pXf/nvz3SwyQyJXS/b4XLTeN7kAFc3wotu1WYm4/pBZzNonDN6YMFOtuV+Rr3a1cCRrfpK7bph7rzY88QeP2HRX1HowfJtbdrBQcMUtUc7rHqLQ8/BRN33bMqF+tSG6aPai5aKtbefrLKwoZskgcOrV8iFh/G1YqdJ4uprF4dCsq4ZtTbKsrbs+9x8ItdDDuvtF8ZL1K1KOmv9qVsS3ft9oF89DyLi219XQ7s02YJHYf7tWdfLNkEdvJtRL39ClVX5Dwm97ZuQOVzZ07Ud03mbuSoh4+MdravWsS1XEKNnJ7f8IuXKIe20KNmdTNn49WtG9rmlX0g3sUsn652PdwyGixjpX5pyPpy1P7jH11chWkFY26GOv8X6dd82nvwzhj88tyH1Hv0rX4IbGUv/H7Go4h3/f072k0uPjsBvWPSPjOR7acK/p5W1Ygz9y7//CtmE5KzSWl+n0rLpoyif9IAwbKFUmlTbfAQH1prL58jIYd32zM0v+DXBTa5GPLjB+9ekFlf0x4kUR3/ISyp89oqee049tD+2j6mROmKnZCLSrJwi+2ASIWN2pFvh8m7wewU+gy2nv/BoYg3wzv0aEOQ4311PgXdu0c9dy3UQx1qPUA8v0gq9i2Wykx5zv6+Z9/GIcX1GtMIUVLWKrOO3KMvoyINPbrPlY4UOLr2fTLH/806mzv0YbK5jULRa//+BeVGjvfOI5/TkLjnqgrNGLpbqNuxnf+SpHfWYGI6OgNrgR8Mpde/B5/zkMaV6HOwRU8zubx81dUdeIyUc/pOohKysqYrXtoyZkLYm/EgE7kmzWz2E7sStyTZ9Rs0TpxH5v7+dLMNo1cd3f98U8UPG2NqH90VBfKlim92FZXRi4Ko13R143dPeqUowFNq6tVTNt7j8fS5/P+fC7e/SvtndPPdPxNb7QYvoTuPn1hTKNrg3LUt1UN2ym5fcan7ThCP0TGGP00KVmQpnaor+0z8upNardyizh29fMBlO5vfxXbTit+302nn/+Ifwd8GRhAfapVcaqeqGMDN22hDbFXRNuYgf0pe8YMYtvtCp7RwNkrRPXVHZpSQOECYvttXXF7f2QlDM7l8eiRplNSFV2RHXuZvmOrL5ykYYfDjDb+mXNQaEvzu3P04Q20+NpJ43j3QhVpQnUrgCyzdhj98q/fjTpzqnWjBgX0YBQVbr14SF32jDfq4t+Uqv2pYo7iYvttWHmbhGbM5X939U7Z4uYa/o+lU98a8ONmvkmpkwYMknL1ktBWBgayBiDmyQ1qEp4g1N/pZNYOuHnpyAJsYoRnb0EBLgNepv23bxSaceyD5WBSULBWEMbxxJToR3eowZYEjebQ0tVoeJXgxHTldRsZlOg0RboOVe3TtX7DtZaUTqvW0J5bt40udILDoxcvqfx3C8UQOqHEG025LDC2rlacRrarLfp+m1ZmbzlMi/aeMaaU98OMtG1cV1fTazlzLUXff2bU7VShGH3Rwqq1c+oI17suE444EHufCYB7GDhIjKDFx3nNQF2HpRuEJhb7vQUcshBbNldm2jCoDe9eu5SB1Zx+jahKcWcBb8wPYRR+Kl7b2SKoOI3oUkfb75vaOXf9IVq6I/55yJMlI238tpvtVFSrmJ3F6XDsLeqyNF7Qe49ZzU5/1cu2z5xjpopj3gjMU/YdoGkn4oXFD/72N9raqX2yWg1UYVf3DhET97Aig2Kf9zJS5NAeHlq8PYdl5cn8FvUppFRRy+TwrfL5dprYr7Pg1Fgym66/eG7UUZU56jfoUb8EoR0N3CjvPo5YSFvuRhv9d/GpRl9VaW+s2/0bHjmTTj2NNQ7XylmWxlbpaVf1jexPAwZv5LKn2KBpwCDFLq1zxxwY5Hr3Q1pVP+HFcuj+Rep44AejccF0H9KBZgnHsLPR1u8p6ud4s/fUys2oXTGr5mnQ7rW04eYlo4/uRcvRhKAmxrqbf6ogC+F+eePWVDanO5P0mL07aPHFeO0bH099sfL9iV3K54c+FtZuQSGFSiW2O1ft1I+BWxqRDLL8s2Sjbe31H1lZo7iudUsK8PUxzUvWhkFIvcC0lWpZdCCKJu2Ot/IE+eaiRT2bqlWM7d/+8U+qOiwBcLoRGLUdpcLOGw9/ouYTVoqRVgxrSSULmi0l4qC0su7YeRq1Nd4C40nYk5qZVsPOxVLvjTvFPv8cWWll15autcSi4Z8rssCFXd+F1KS2Fcuo1Ry3ZapY/4AyNLRBNdv65288oE5TN4jjnuhieC6C+swR9WcMbUyVSzkDCVE5lVZUqpMnOlHjsUvpzk/xFoYxbYKoeQ3re0K1MDlZYQatDaVNl+KBkzcUMwDNMrPi3+u4VKAL7urZTask8PZSQtD9aOESinseL8gmpW+A18LMMslLYp5R3tZuCQUGymv2vF199JOxnuO9DFQo+wfkk80zVdBoYPNP/o05WeOqz54rrteixo0opISfqcdBYZtoY1y8ID6kXCUaXqO26bgTpdQN3XftlUj69NRao0/dd940GNs4cCeKvjq1ROze0GAiZXnnPbH9plfSgMGbvgPJO34aMEje6+m6Nw4MVPQ/9fQWmnl5j9FPrWxFaUndQaLP1//6g3x/HC22dzToT2Wz5RfbWIn7+Qk13bpIUFe8EZrXnD1NE49FiLagA+1s39Prj5fqm4B51cmdnwZXruEaYKCNXcF1qPTjVDFP1AMA6l8+yGvKlN0Y8n5YYKac2k9xL381dru1wuCDXX/VQqF5sqNiqdq+68OHWq65/MGz4zfLWnInrvSmQ+do/NqD4hQ9CYyioouVm/fjP/QFciXtAy8P1Wnyajp/96mxq2SeLDR3cHOP/hAqrSoxVgMMKPOW+ZwgEHaqXMYVtQiC1qqTMTT7yGlhfUA/3giVfFxZs4194UPbOgpSk1bvo3VHLhrNcd1WfNaOd6Vdytr4jG8hjYhPutuXq+jirfjnIbiCL43vH8IPWZbyNXDysZAB18QmAdS6SklLX9ixht3LT8IOGMcA0I8PY+9Hl3QimduODmA5GFipInXwL2f5vRsDePgHn4LlUadpS+xVQVNCE51iwUNXxmE8q6O2hgvg4+356cbA73BH9BVadChG+D7p6sn7oNQoliMzBfkVsPWRkuvL67ICBfvtLHIy7apHmVI0oYGZPjb/5BH66lgEujBosapvXaMNcynqWTzA0fm6ZV/8idEW/9bW6U4BecyWi7hfH1Lt7QlKP5UyLBpLKw23DqOX/xVPPyqaKS9NDRxM7/7n36Uaqb8KwLL4Uigd6rX4raHZQLZKoxIl7VlIAwZJu36Jbo2Ht8aC7tS6UG1q5BNg9PP6X/+g6ptHC+7h6NKNqWfJemKM+Wf305dndoltneNxjZXThACLim78C+J+ekqfhIdS1NPHom+srGGWgoACvqZ9bjcib8ZR223rLNUBEEYH1jFxNi2VXOxQNfi8yZcValP7khUp3V/+xnclehl5+yqNObLDdD3RmVuwpVpPVK4qn1ijRUvp1OP4a69zPFZpRDot3s6YqzRwTTygRL/LuoZQ9aJm0Ij9qhb5o7I+NKmHvWCFNrpyIe4Bnb16n67deUYvf/+DLjNB7cVv8b4AvH7l4rmpfNHc5JM7M5UslNOjMM/bqUuZK45jbsHBsJU7aev5eH8UtHMS+HDcrshaYrUOrAh5mLbTL3sWKpItC71iwlXs46d08dFTin7wxAQGeNvEWB7gW9Bm7mb6lWlZUQq8n4H2ftaZd2lZHrt4k/rNiXewxEFP/gWybwHqJweN6NKV++jKVN5l/iz58mQ27fN2Y8uBszRpeQKwHdiyCnUMqajtRn127KxjX23cTytOXTb6gIUpbEhbre+G+lu0A+naybCdo3fspEUx50yHARA6ly5FtQv7UvYMGR3pahj/zN17tP78eUE9lDtrWbQIzWreVN7lal1Hc0sMeOWDwQozf98p2n7hhnhm+TFvlgD0vWtX0N4LXT84j8pTF4rfnd1vbfXpMzR0d8L7UnXUxjcx4McFYgjV6j364FZaHBtPadMpimTLfp0cvrTio96iL75Sc/MYuvE6XpFS7v28tDnkM35Iu1x9eTfNv7RNHMvwn+/QzKBhlD9jDrEvtVY4ILj/W/z8bw7Z9lYBg5RwhH6brCIpfZ/TgEFKX2Gb/nUP2cLzu2nC2YQf/snmEynbu+8ZPRha8nVf088MPKDonJrkaAmoo9NkYL9cZM0I3w/60ABmPtVFz+F13CwBDsZEhAuNudyme/Ey9CkzzyYlcpGd4I5xWhbwo7oFiiaKYgTQ8X3UQeHkLM/brU+DCoxwvuPrNJC7MtbVD5RO2ycLpjotHrRygZOWiQ+wHY0IVJH6Y5YIZ144Ha//vANlfS+9ZV52OwAIFm09Tscv3rOrYru/eP4sNKR9oGMkGbvGsuYXddwAGggnIdPXiOuCdrPa1qX6ZQpj1XWBsDGXRRJacfqCEDhcN1YqQtj6tF6Aay0zmuP+dl2wWfhMYJ+TQ7V6n+GbsXpkO1tghnvafcJ6dGsUWAu2Tu1uW5/X0y1PRt+gY6eu08Fj1+jlazNQlOtnSPdXalinJNUJKJYooCBbDdCvE6VItjjhmd85vpvl3NRnxe43hLG+DY+k75kFiBdvo/Yg0MAs5m/AnZF5P/Kybv58VDxrVmPXxSdP6NavzwX1Ra4nr+s03/Jxu3UdKLATqO364PtBE/ph70kR5YnvV5cAX6WZjwwvd35+aWtRQN0+jDZnFy2K98GXKgXw42rlaXhwvPKN14E1t+KsOeIeVMiWjUJ7mP2X5IAaakQ+NcCHqiwKux5NPSNX8+FIZ92XacOoqCoCReM/V377r3/Q1KiVtP9BvG8CdgMc9CzeSCgX1TbJuY3xt8VF0o7bR4kDAt4/gMHGU3veCqdonWzF55mUZUr1m5Q5pVTbNGCQUlfWQ7+6h0yOVKA6JKnWgujWoyl7ukxiFLyo6qyfLeg1EIxn1nN2TFQ12ugMGv3JwSHJSskBtWjK8UgLQAAAmc2i9CTWKoH5AjCtOn+SZp07Is4d+3nBGE3YtaiTvyilZ+vpmSVBjSQEIPDw1XOK/ekxHX5wU5iIeR9Ywtn4Y/8gV2Ff8dGpvHiWmI8dJUv9OEEYsITOu/OAGi5aK6aiE0Jkh1RUtKOYDJi5iY5cSRDo7bSnYjBp5fi5m7R2T3SiAIHUjbEK+sfAtgGU5X33gAQN1fm7cZpWNe3oJzHgAO0gQG0/d5nmHT1D1399gV2uCwBBv6BKjtpgXWcABVPDDgttNup4snyo18nJLwPUr94T1wtrD0DB/FGtyBsqGCwDeyIueQQDuvPDvqI+Wallw3JUsVxBgkXBTYGvQfvRP5rmbQdm3FrJZL8UzMHpOsvhbFHXztEVx3QFv/2VUWc8AgRdW3kfLIx9K1WgRiWKJ0rJgghEPVZtMz3PsIL8wCJluaVIYT54ThfsPyWiO8lzxDo0/43KF3WkBqGPOGYZO3PzAa1j1hsedpn3BSvZ2MY1tJZQXocvZWUK9umiuKnUrmn16lK78uV4F8ziZw5bGtaqs4kK643VwDf9B3So1UjRN1+RnZCxzw2laOG5LbTyWoK1A+0qZClKnYs1MIU9x/7kKIiKtCXuIB28Hy2oTHK/GHtt+8lpFgP5ovybr6cBgzd0A1VgIDsjYUqyteDR6+dUZwvj1DtYC2SHXAjDe1sNsBXuASI+Cw9L8QhC6qW1AwgAIy39SiYpehEAwuSju2krc7rmoUHV8ROz7Q0gQP/44Lff+KOJlqV+UPg8ZJ4r9qnhBVVNni5CiBq+0s4hVdW4e6KWYD7QPG/ef5ZW7DwjBDDs5wVRYRoH+FE6JsyBLoQ8CBAo0e78tQd0/d4zOh17zxZMwILQsAaz7FQuatHg8jHkJfrtO2OT8DfAMVgORrev49heBw6cfDDkMZ3Woxloe/j8JT14/oKO3bpnUIcKvp9JUIv88+Wm7CyUaGIjGWHeI9fvM1kKPPlKqPfZKcSrCgpwrt44HB84fJkWrzlKDx7bg6QKpfPQK2Y5iL3+xOlSGsdgRQiqUog6tKhMmT/M4LE+wOrgaQkWVjxPsz5toX0W5OhW6HhK13pU17+IZQw5pwE01Wv7NtP6ceC3KVNW0JGO4mcZQNnBAcKxO3fozKPHQoOtVLNsgjLUomQJS5ACS0WHHfCXmMjyafDIW6jqLX0IlpYw5kMwj4V75TQ3PiQE+dYMELSpUoqBjL/w3a6WAAlrj53T9gtrzmcNq2vvC+9cvT94d+7o19ECduRocKB0nRzYzwSwZKsBvlPLWyRED1KtBqqFXnVCHloikIZXMNM2VfowKEUr6g5mVFhn3wHVGZmfN4KZBLKoRbXzVUw0xQhA4NZzRhV9do3OPL1isQ7wsRrnr0YditU3nKBVeYbXeRPLlJpLSvX7Jq6RpzHTgIGnK5RCx+WH7PFvv9JH2ycI34KmecrS94Hx4cgg8LbbOU9EIsJ0VGuBrLnAcfDse5c3m06xH0V1MMY+RMtZ1YK9NFMgIRn6lws+hHNPHrbkSEAdaNbb+5Wm9qX9kzQXOAvvuRkrIjPJ47tdB290RIVaXlGRoGHqzPwqZGBi53Csco2HMifEEbVrmqanar3U8IiqwAtBJmJkF8tHWBUW3TiiQuiaujJCxIyXJwbfgZBqzArDBHq3BXSVrxaEa/uDlrpT/XLUrFZprVAnj6EDB6DKjO9c1zFakXqt0CfCfY5qVMNRiymPnZrrcoQpPi7mu7RXM8v9xXFcl08XhpksQk73GT4FU348aAJ8X/ep5/GePvvpJe07dJnWbI2ypQrVqlqIqlbwsbUA8D7C9l2wBRWN65ZwBRB+DGPWwg3H+CUiO4sHrk+7SatFhCI00IEDlVLkBA4ADGVrHvpMjLYd7XjB+/Eacyo+dece3WfhMjMwJU8GJrAWzZqF0jMn58QmLOP9Y4l5D9m0y2QlwH5vQAEoQyuPnDX58KAPFACCIcGVvKbsxbc2/8f9+JZZzGRfIV4DSpBetSpofw+oozoi6+hRalI41WqrUkLVCEXqt1fNbSMnO8OcFga0oxCfslgVRaUUvf+Xd2h98DDHpGdoDAF+ztmNIoyp6FBaAVDI8W5mKpO5kAE2CmTMZRy9+eI+s7bH05Kx4/rze/Twt58p9vkdqbV+VQYEvIYsz/B9b2qZUnNJqX7f1HVyGjcNGDhdnRQ8Jj9k3fbMpP2PY8Vosjlx0P4VtOH2eXFMzaSovpiQcGV1464W51udlQCdQgvyQ8MWSRLExeS8WIEQ/XE4M2H/GStabsp9HJIKEACqIpgD8forMXT75S8WJ2J5TACBGjkLULEPs1ORD7O5ogzJ7XW+GnbhSeWY5ugD/NbVHduZ7oEchQh11NB70KjJfgWoo3M4VkGBJ78CaJFnrInQavkBCHo0qZwoHwHMDwWCnJ0FggMEO0fS+B7ihWDVcoBjTtpxHIeD9lgWwlTVbEILPyykuq2AgbapVXRWAoyNxFtftWA+ORrNK+L1D5+/3WRJAVhaMKSF1n9EFabRv6dkYb+xJHOrN52gVVuiUN1SQAeqX6s41axezDUdCJ1wGtK2PQnJ5OTOYXHo3KoK+RWJF2jkY3x9yrK9tPFgfPQlvk8HchD6ttu0DcLHBnV14EB15HcCB+Czjwzbb9K6ww9oNouh/7YlBQMgmHHwmMiezq8VljqKonycr0NQh1Mxd9Tm+/kypX5LACITQw+ZrGcYE/dmOAMhdlGk1PeoDhzIySXRp+qrIVsNcFwOyqFGAcR3ZGcrZnX4M/iFau1Hex04+OLYKlp2/QgOGwXgYEKFNo6Jz3hd1RGY70/OJQAGAqXUyltBGwlJlmeSc9zE9JVSc0mpfhNzjindJg0YpPQVtumfP2Sqw7HsgKQ6MKkOx3IiMwxjBwqg9Riwe5tJkw3he1SVQGpburzNDFNnN+a2JPqUidbER8YcOxUvTR3K+NvSonhdb5fwK0DR+Rx40xcAV59QlrRKiehkZylQea26mOOq85z6MQMoUJ1Rdbx5FRQ4RfOBRvWHdYcsAhauBSLUdGlUyWufAKfrCIvE4Zgb2vFAUerdrLKj9hrzXbr7lEh+xsdCSMpveobYWh4g2IzesM/iHAkBYxwLU+mtYzIfN6lLTp3geSh4f54EH52wa3ef7e6xTojm42O5PTyGFq46orUQQLNfN9DPUXCX+7JbB/AI3R1ja4mAFWJo32Bb0KEDO7rz0l0vN+AA89b9xrAfkYL6rmZR3R6a6VIA8xObBDMw585vAn2lRMH85hw8YcrkzceBhWNy02CPdDc8n3Y+BHhG2zFw3a5qKdfRg/j43i7hB/Jt+AkLuIc1bVKr2lp6kRtwIEeGw5zk3Aaw4sg+Y/gu7enYU3yTdN9hORty3C+PqOkO5ugsaegPNWUWgfezm05fBQc4CF/D4eWZldADtQh1YUHYd/sko/9cdaX5Rxu7AiBQOFMeKp2lEFXKUdJjzgQuz9j1l5r7U2ouKdVval4bt2OlAQO3VyqZ6+EhO3DhtCmWsZy3QH2Z+H+Qi1bX7yM0EerLCC8rnV+BTpOdEg7GSb08ELDnnDhiSY7G+23hW5TqFixEgQWYSTQVKE98XKclfCZGHgy3AC67hHBqBCJdBlQVFKjcWB0oUHnnEABnsozBPIY9zsFOWMQxhH+cs/GYiVaC/UmJIoT2bgqcSJeFnkg0QEBYzpHLwk1aYFhFJnUJdszyi5wA47Ydsjg4pqaQg+sDoLL66DlazZwtVUsGuNQTWta2FbYQivPrdYwOxIRqXuCQPahpdQswwnX+bGaoiP+P+na0G94XtPkTZ+6y0H14RKEmH5Vx5QvA+3OzBECA78Labae1437cs5ZhldD1pYZcRZ2RnYOoac3SpuopAQ4wgC7nBawHncozWlSlMh6Fb9Mkk2EDjsUrjsdoAQHeK9Obf0Rl8zonC+SA1c6HILkoQ96crh1IwW93IQvTXCafNXynJ3AA4V9OEof5yBmRVUdklX777bFwmnY2QeOvJhbF97wG8xPk5QMm6G9p0M8CDnbcjKJ+RxISmaE+/A7G+LekMlkL8uaulhef3SBEErrx/D49/v1nesSoQnalUKbcVDBTLgYA3k+UA/PbJDSn1FxSql+7e/Im96cBgzd09fGQffhdW+FXANPhroajjfCkoMDU3zqd4l4l/JBlDYMOFGxp0sMUbccuN8HUoHqurQTQND16+cLgu7784w9C2Dy7kpHxYP1YeL1cGTNSjkwZEs2F5QBha1ysSeDm4wIANWEgoTYDCUmJZsT783aJD8iqs1E0+8wJy/zsaFloMzJsJ22IvSKGcwMKIFRs7tFaJNJyCwpUmo0dKLDj/UNgHNExyFFjL04kmVY8AYQvegXbUph0VBpMC9aDMR3rauk0OG4nYOAYCrSQXauXoRosH4SOwhNfy/v/GDfm1gPaeiZWy532ZCXA+X6/KZJ2RV83DW7nUK7zJwDomzyokdYKBB+Ab+fsplNn75r6x0b7pv7UrnklW829pUESdtg5N+fMlpFGDfpIa6WAJWrs/N0mkIsoWJ91Mzuo68CB7vqptCKcjhOty46/j3awIHSpXM6jMI66iS0AA1vPXqYwlp1ZFzkLgGB4raoUUsrZP8gJsOL5RPjQxDgVJ/a8dO3srH9298cTOIC/QZMVq4QDuPqOhn/esIO7xVRUcNApdJkpxLUKDlQGAMDBijrdrElKWfKz3gfnihwHfEBYD/qWqi9CmPP9b8PybRKaU2ouKdXv23D/1DmkAQP1iqTSNh6y/zGxsRhtTrVuBp9Q52w8tXIzalesilFXBQXYqTo8qS8w1IFAbafJxnEUCLAR165T+LVrJiE2/qj3//FirZk/H1XOm4eCfFnynoyeI43wUZwEcF4H5xSUJ79hSSiXK48w7fLjybkE0FoRw7I8XozRdmtHHcLHptv6TaYY5OoHBx2qsdGxT87aqQMFaqx1nbCjAwUQwmetiaTwU3EYxlTANe/UsKJF42yqlIIbSfFxUCPP8GlC4Otaj3FjmUCjK+D1rzpyzpY3jTZwqKzmk4v8C+aiQtk/0FIWdH1jHwcCUSwM4/Eb9y08abmdJ4fK5eGnaMleFiVKshKgvY4OA8vR5CV7LfdZJyijDyc/AnD9h/erl+wWAozrVDjFaP7KBG0sr283J120JdDTpgxuZArDqvu96KhoOnAA4Xh6mzra0JmIiINs1+NYxB9dgXBeo0Aeqpg/NwUWLpAkqhGAyFWWUO/yIwYILl0z+TrIY0PJMIDF829fsYzjeBC2nXwIEM3LW0AAIHvjwTOKexCfDIvPK+pqfOjk9MzCVyR3FmO3b84PKR27tvitFszxIa/quNQ56tvdnyZzV5ooX6ryRaV6qu/qQWGbaCNTWvEi+5EZ3+5tS03hrj2BA/Qjf995v3AMHn1sJW25m5CzgB9DcJLORWt6bUHg7ZNziXlGP71B7SvVTQtXmpwX9g33lQYM3tANkIEB9yvQgQLZr0AHCuTEKhCm+2/faOHrO1GHkhsMOF1O8OkbFilsZPj0JroG/BA2XT5veiHrxkFUo4Y+Raho5qyUI0MmU8xpXX2nfQACp+/fpeP379DBu7cs1gHeFhSnLmUqaMdSqUNoA0fjqY0akG+W+A8h9qmaLPVjhY/1wBU7TAKlqhXT0Up0oTztaENwLP68e7BWg4w5ygUa5Qux9+nJs5d0nWU8fvXbH8ZhhK3koSshtKGUKR6/LJAvM2VlISjdZr11SqTm5ASNmPXfbYg0OeJiHqAXdWMAoXNwBWxqC9eS7mLZWtUY6roGAAt5P0gAu5UYaHjJhPHLD5+J6gfjrNl/xcE/V7gGNqRsEVvakN15wcl4Wp+GFiFKpznHcHZZgqGd/37hfosfgZN2Xj0Pvv3s2Qu6zZ6Lmzef8l2WZYECWciPPRvvsPvipty++4zmLDtosWKA1tSzfTVqGFzG1A3AwYRF4SbqFCqo1CIdONBdU4DHvst2WJ4L9XcoTwIW11CmvZ/NkqHJIUHlOliHD1HVArlZ9KG/Us5M8RZXtQ62o27HC9IvGfA4evOeScDV1cc+9P1RMZ8kAQI8nw1LFHSdgRjX9Oz1B3T62j26zO7bnZ/sw9nazRv78ZutV9aXAkoWoFIFnTOnwzl5xNq9ru6P7n27vENTYclxAgf4XqrhqOXklYkFBy3zlaSJ1VsJqjC/LqAWTT0barEe4Diox12K1aQauYrz6im+5EAg6nEcHX18lc78Eu+r979HpWU+TvGLn4oDpAGDVLzY8lAABv7zBlGJ93PTV1XiYyOroc28BQXqCwsadTsHY3y0fjhyhBbFnJOnZVmHxqRc9mxGFk6EzauQN7eo84p9oGKfJHz8LzGq0R2WofPU48eijt0KtyYEFypE5fKweO8urAkGiLl5jRZGn7Q4+9qNA41O3ozvkR8DCyhF2BKJzuTy8OVzesAoU/fZ310WJSn66SNbIIB2nM7Ur1I1rZUC8+y3cTPtuXVbHsaIdvFZ7VrCRwL3QHVaVEGBLsym6lMALfL0bQkhGzGoSouA9njU7O2WaEPQpA7rEEiVSxUwzVXeABA4ceYGnWXZjqPO3bEIj3JdT+sQ5PxL5TXCWZYomsujBtoJIDglStt06BzNDGV+E4pmHUJf/4aVtTHs5bnDB+HApZu0nYEElfsv10vKOoTKWn4FHR2ecd90TtZ2QAf1V2w/SUt3nDFNDdSh0T2CTRpzVIAfwewlBy15BuwEblOnbON3dn1PnYyjGzef0PW4x3T69G21iuN2zpyZyLdQNirFnokC+bNSMb+E94uuoZ3fg856YHctACwnDmgoLEiop9LvdH4qdtQzCM6eHNfhO7To2BlXwrzuvL3ZBzDQuqwfBRYp6PG96pSpmANWTxYCXL9zDJBHnr9Ju6PjLL85b+buVBeKjvKFclM9ln9CZ/2zuz+gBM7q1MAEulVwgHHlJHUpDQ4i78ZSf5YZWXZIhh/h1BqMOqo4JUMYX3MlktZcP6oFCKAhN2JWhArZ2Lc0q0+yUo1intygV8xPQQUC6n1KAwbqFfn33k4DBm/o/gEYxN68IaINjD68gRZfOylmAw3CzFqdjO3VF07SsMNh4hhWZEsBtNvdQ9ebQn9CIJ7XqKVFcI2+d4++P3TEIrTyziGwNy1amCrlyUuBhXyEEMuPu11C6EU87r2MlhR5646JSqPrA5r0avnyurYmcJBwkmn1I+/dMp27rv/k2AeLRN+ylahh0RLa64I56bKZ4prOadzQlIwIMbYHbNxp0iTigz63XSPxMYdwOoRpwWTBVAYF+CCrsetxniqtRKc99hQaFBSOkwwMbNh+xiI0Jse15H1AI12+ZB5qWr+sozUBPPn5m49r8yDYRU3C9dnIAIIKmjA2F6xb1CilFTL4/LAEODtz8yFdYZaAI9fvW7SScl2ndVC/YFUoVyCn1kFSbgv6xZJdJ7WClp3vhM6XAH3qQpEC7M1bHkH7j16ThzXWEWmoV6dAWz+Cy5fu0YULd+nIkSt05YpnJYBlAA87AoOKUNUqhalCRV9bi8KazScsEYzswIzd8z9tSGOT34oaxQvT1Dlz22mn3cTvx3vxzO0HtCc2jg7euGv6/Xu4LLaH8d4okT0LFcue2RUYgGUs8vItWnQoRvssuwEE+G0dvXiLDp67bvF10U0Uv7cSeeKtpP6FreDv4c8sUeCflgU5O7uuL+zDfWlQsag2d4kutCnOSaV+qYEe0K+cpM5bcADr8cQ6Ica3QWc5QLLMOfXaCKsAQpn23rfMlKMIfgcDWSK03qVrYTqW4mRB4JULpvuQSr6fh/yY0hGl8Pu5KP1//t2QNXzfy0FxzIcBYEMuD3/7hR6+/pnus7977O/262daECK34esAJj99ssYkz/Bjb2IJ2ere/YfJPnRK9ZvsE02GDtOAQTJcxMR0IT9kKiiQIxCpeQowlgwKdFGHYNr8tAaLeS5F74mMu06LT0VpAQEHA3WY9j7A1ycxp+OxDbj2+5n/ws4rV11ZFJDZ0xvfBJn6c+fFr64tCk4TBxAIYHkeKjL/BScfBjtAgL4BeOa3bC6EfezT+ROoiZF0vFkZFMBcP3TedpOZHh/fWX0biY8lPt66EKR22mMOBo6euq4VGDF3XrhAn41ZHFCyZs5g/PHjoBnh7/HTF/SI/ck0I15HXaLPwMqFqE5AMVuQkBiAYOesy8eHkNEqsLSFjsOPq0sIVo/YH8prdo2vPjJzp7EfyagKSRxpXaQU1FMLKEMLdpwwJSrjdWDt+LRVgCXaEqwq01dFWGgzsAapTtueOPv9ugRpr/3t209p27Yoioy4Qq9exVPH+Lx0y/Tp/0aFC2ej0qXz0eMnz+nxo+emalevPnbVjxNIsHOShvVAPQ9dVCZMSKVWgZI3YmmCgynqeGM9QH0OENw4rcNZ+MCVG3T/15d0l2XQRnnBnik19CneD7wUZyAgFwvwUDhbFkF/4ceclvCV2H/phtbhHe3czBvP546TsaaIZ7ox4dtUlP2VY2C4lE9O2wAAurbYh9/sOUZH8gQ8uAWwavH8JoAP68FUlhhNzbeg+vAAHKh5KOREb2oiSnwrvwmuSyEl/LRZ7mWHZB04gLV5Rf0OIk8O6kw+ud2kFMT5+6b/gEaUDbYkQ8MxFCRFW3b5gCn/UfyR1PkPGlNlZqEIzF3SSMQmyzOpMwP7UVJqLinVr/2ZvLkjacDAw7V//fo1bd++ncLD4z8WGVnUnS6du1CZsubshR66sRzmD5k3oAAvlR9qtaCAfIWNl5LOn0DNzAgN1adhO7SAAJz/vpUqUKMSxU0gwjLZZN5haPsZSDhx9w5tib0qokDYDcN9EyoyJ2bQjmTAY9cG+xFijtOEjt2zZnTcyywNeJFn+uvfjW6q5M5rLP1z5aXsGTJYrC3GQemfEyDAB2Qgy2bcp1q80zia6ahD2C8nF8IH7YuN+ywf74ksxj5P4gOazPi1B9FUFHyIv+3dUHyA7SIOqYIQOuDColM2W2hjg6oUolKM6uGGAiQmJq1w34RzTON8+vxd4Y8gVRGrAAnd21a1zZ5rpx3nlhBdFmUINWsOxthqOHENG1fxo2olCojrKCaUgisQgjZEnKW9MddNQI8PCcG0ZdXiFgdqJydyWFH6t65hEpac/AgG9ahJFcsW5EMaS04T2rTppKNlACCgXPl85FMwG5UokYfyMdqSG98BgA34Ipw7f8cADk40JIzRujWz1jUqb+nbLs9C7w7VqG2zSqZzmrv+kIVmpVKL8JyMWb7Hci90lhpYkyZvP2zJi4FBoaVGfP9G5Yp45axumnASNzA/ONY7UeJ49C27HB54PnefiqXNRy9Zrok8PVB9gkr5kCqky3USu46wxE5UJfxG4EOkWgB1ChY15wHAWbNF60zWG4CDT+sFGI7aagI0nMO0enWpXflyWnCA7/TmVp3I98MsTDP/B7VTHJLR/ssKtal3+QCsGmX15WM08cwuE7UIBzwBhMe//UpnnlynvXfP0vlf7rrW8seP6u4/t0BUYkCg8Hu5tE7PXJ5x12PK1kqpuaRUvyl7NRLXexowcLhuAAUdO7RnvNkoGvzxEKpQoQJNnzbN2J43bwE1CAlxaO18CA9Z0+WTTVmNnSwFSF42tWYzIySpjjqEl9Hseo1NITx1LzTMCoL2pwE1DK2H8yyJ8NJ8xYRV7vh27NY9gsYKjnJqKcI0WIamNCuLLKE5rtbn295aE+rmz0f1ChcifwYSZCde3l9KL2FidorchMyZsi8B5rOGRSmZuO+o6eMDfwLZ6Q0fcdXBEcIFj80NC8CEVXstgq3qT6ATfpy0x3aAgIOBKhV8LEJjclxj7ruwc/9FW7oS5tC2iT81qlfGQm3B9di8/6w2k7ITQICgY0fT4eeV0iABczhy4SZtO3bJ4ijN5wBtaLOqfhZhB+et8yNAOwi5g9sGmnwJwMtfvv6Y1nEX11YVnuE8vHr1EUfrQJEijPpXrYgBBDz5BfDz8bTkQOTosasUcfCKtjoAQoOQ0tSIAYTMmeOtVahoZz1ARuZPB9QzWUHcUItwje18OwY1qkLNGQVNLk5cfdTjwrcbK4Lcr7frUCwgFC78Y5xob25AC4Tx7ScuW943fE4QxrlzcJXi9j5KvH5yLHFfQGFauT9a+7vBnD5vHWTyIbKjfsnKFnzneqzaZgrxCorWyq4tjW+ZSivCufAMyVAQfXNonylinfo9VvMcoD2oRd8ENRUKKFCLfojZa7EeoK4ngIA6KBwoyLQg7N//OCGSErbVAgsACqwAKOWz+grqkbHDw7+3SWhOqbmkVL8eLu0bOZwGDBwu+9ixY2jpksU0ZuwX1KtXb6MmwEJISH26cf06RUWdoWzZzdkLHbozHcJD9r++aif2cVCAHaMObKUNNy8lHGOgYHXjrgY3UZfFWPUngB/B4G1hFl4/aC1fBte2zTGQ3PxXvFjzvJeBKrOwfG7N3njJnrl7z7VvAqdBJdUnQlxszYo8JycLBz4U/asxh2TJkRofnAm7Imgf4xPLRaUO6TJ6yk5zoA59tWKP6WOofgTtIrHoQpDqONp8fsgyWzfIL0XAAB9DXUKw27orhiKOX9NaEjhI6dCissVh2Q1ACK5SjLK8n940LNrtZtSRFfuiHTWhaARtMUIqFmKOjNlYPyVZlBS3BSCAh2tEiMYLd586OmgClHSoVdYk3GAsp/PUOZHjmq7ceJy27blgmarOjwCC+fbQ07Ru3QktzQeOwi1aVqSaNUtYtPaWAZK4A3O5dPEuHWPPQ9j2s9reQhqWpnbtqpkAglvrgR21SP2t6H53mAzu0SctAyzPAdfQqxQW+QS4r0nh7B+SL/vLlsn8XMp1ndYBAuIM/5cHFMv8X+7+8tIUuUzX1pPDO55VJ+sV+uTPp1vLAJ5bvJtes3t6/V5CxC7d/HxyZ6Z0TLhHKeHr/BtzojVxilFd5qiMYmeJxb34vmMDJvz/hdX5J3VYyrLYSxms8Q37tlmwkUtGzXOAfvFNXd2xnWHF/paBg+ksv41c5DDWkbevUv/9G02BLQAgRjHrQbsSFUUzJEMbfzKU9j6ME/v4CnwQOheuSE18ylmclHmd1FwCzFxj8+1QpVaK8PoTcy4pJcCnVL+JOceUbpMGDGyu8ONHj8jfv5xxVAUAa9asoRHDh1HXbt1p3LjxNj0475aBgQwKVLMjLAUcFNj5E4yv08AYDALsnMNHadqJBCdmHNDRWvjs4AR7ioXBs0uIw+sl1xICMSwOFfLlpgAWw9tTwcs4igGF43fuusqtgBd1yexItJbJiKCUnvlZeGtVwJhXmUAPqtP5R08cfSI4MFEBAT4ycyNP0PcsVKFaZOoQ+OqjN+yzUBHgTzAspLrxwdKFIsXH+YtOdQUvHmFIJy0304ugNR/Xu54p4tDJ6Bs0c9EBi/DtpJmX5w/H05u3ntCNG08Eb/wR448/eGDmkKNNeUYvQcmWPRNly5qJsmbNaNBM8uVLCNVqVFD+ITTllp3RWoEWVSHU6pyVIYDYadLRDvSaFrXLmLTp2I/CqQonrtzzCBLiW8T/BzjjTpXyfqy7caLkbSDI1CnjQy2Zr0PW96yCop1vBbeMdAxJECycqGE6/r0nQAABvE7tkh4jBuFcLl+4Tb+9/oNuXX9Er1/9g65f1TsBli5fkLJke4/yM/pR3gLZ+GXQLrkFww4gtGlbidq2rSbAijfWAzvrmhqpSxf5C5MFYBzSIkD8DvkJ4HcdFn2F1rGM1p5C30J7X5oBTpRiOTJTBraNkoMpVV6xZxrR3+QCEHD+/jOP/fI28B3oUaMMBRTLrwUh+N1ACx96/JLtM4vnHHS2j5jDr1N+AQCAc9dYpl0GSq/cYfkVGFXsxW/m+fN5uVnCAla+aG4qXTiXLVDgFkA50zvvW6V/wc9i7NZIU0AHXP+1fZsZdC+8t/uvDTUpcuRIcfg2DAvdYfom4JvDQ1CHxV6gXru38eGNpeqU3G/3WlMiNFRSrQfYF/34Fn0fs0cLEHAcVoQ+xQPIP1v+VAEJAAGPXjP/vcc36dLPD+gs++NJWP/nF6vfKmDwl3YjcYmStfxr9aS35hyT9cQ0naUBA81Fwa4dYWHUp08vJtz405at5h96THQ0M2WHUEEfH4qIOGTTg/NuAIOMk7pTAfbjXl2/DyHjb9Oti0zaBA4K6P/8h8VUid4XMOpQCIuQg2JnJYAT7ygWIlPWYuPlt/3cZZp39IzJdGp0pPmHhDz53s9IeViM7VzsY6WWS4/Yy5/1qXOaU+uq2wAK9YqyMHT5cokMv2odeRtO1CcZSDhy+47p5SzX0a2DPpX/vUymQ8jW/IJldOZFDS/K9+uWuK4ItaqL3ASHtm/3H7VcW5zr6I8CxXnqog5hrFlt6xohLPHBnrnlsMXRT46Ugjq6MKRqEis7YckTIIhiSdCgtUUoyuSKQKNy0u2oKFzjffDYNW2IVAi5nVtVsWTAhTZ4WegJ2njwou7WGXSbkGp+tpmdoSXexRws7Tj/2k4TsRPCFqgYdtFVcG/3sGhMq3ZFa6MxqdptTMEpWzB8NmpWLyZm6gQInDj9vIM7Nx/TxXO36GjEJTpzzJyFmddxuyxcPCf5FslJJcoWoApVitA775pDCqMfb+fr1noAf5yh07dZBFj1NwQBdPyPe7TCM/j1bYPKWCwImDeoLKGnYy2OsDiWUgWWgQoFctmCAYzLwbBOoObzgmDdqLKfxXrFj+MZPX/tAR2OuUGnmNLgLgs0kJIFQAG/3SqlC5j8ZzCm0/0Z0riKyGEC0KbmhUF7mVrkFM4UCrh2P642fX+gINraqb2hhIJvW+dt60zfcgSyWNyoleF3gLHmn46kL0/tw6qpqL4HOAiAsDnutJZixBvDklD2w1xUNbsPAwoFqBALeZruL9bfEK/vtOQA4AqzBDx4/QtdYAAg+qf7Fv8HuY80YCBfjX//9TRgYHMPFyyYT+PHfUW1atehZcuWW2pBsEeJvXKN0qVLZznuaQfan7pymbKny0RxPz+xgIKWBfxoYs0mBFCgy0/Asxg7WQnUEJmgCq08EUMrTl8wcd3luUI70sSvkJGVs3A2ZurOGq/Jkut4WgfwuPbkJ3r4/CXFsqycbpPxeJsR1KA+MWsC+P4Hbt326MTsad6ejnPfBp2zNs45gllfdIAA13RSSC0KKRXP47Qza8tOcfjIDZ+/3UQdwvzkUKQ6gQYa5H4tqlDTmqWN0+HaY13mWFCG+nQOtFBzvI1A4+m6eToOITQgsAhVYRGJ/Cv4Wqrzc7DzhQCPvGXDciahF50AIGzaF0ObIy5ahD4cB/2mcYAf6WhGOI4CwQdAIYZFSLly7ykLqfjSck/iazr/55YFhGpEdteCOVnCN41lAL1wYLOXgTKdtlUXntWTH4Hso+GtgM3P7HeWyO7S+dt04tBlimaRqx7e/YUfSvYlgEIw8yMoXiq/xaLgNH/Qnbp0CaBAZh1CsQPEqu8B7rMugpf6e0KfEKi/WR+ptSxBkO7VoJIWIKjUH2+0/hjXroAOA0tDEfbnKSu3G9DryXrFAev2Q5cskbDs5oj9EOp5yfDO36hQ3oRvy7U7z+jl7/FKmgdPWYQmFwADv4PqZQqaLKLoHxQjXWQv1co6bccR+iEyhk/JWMoJ6+AX9knYAdPxj1n26OHB8U7DasQiVFzUuJHhuwdFX59QRkt6+tjUfmpQPWpburyxD9/98Ud3WawHUAgO869pBBmRG0NgP3iXKfQuRgpNvXxctw6rQr707xuHMjHw4PeBlZ5179UvdJcBgNtsyS0Aur7s9gGUvBi5+K3RpkO2SrMY2N0td/vTgIHNderSpTPt37fX5F8gV+XAIDQ0LFERitAesXaRzfgzlqPg538maK55GnU4GTdbv8J0TPYngFmz2/pNFl8CaLMnMT8IHr0HAvScgydoyRkr1xjnBB4lEuK41drL18HtOgcLcGKGA7PKudf1g3kha6c/ox2VzWt9oaltYDU5decevWRWgIss2dqZR48TDRZgYSjNErshZGqRrCwsYO6Ej5o8riewJUe3QDs7K8HIepWoR01/o2sIHiOXhZt46PhYyxlufww7SbM2mJOaIQzp5EGNiHPp7WhDiPgzatBHJk07F7Z27TqrpQXJ5wzHUx/fbFSwYFYjKZV8LHOWDPQbow78zv5+Y4Ikz357/cZjirv22GPfTiABAAG5FRavOWqhQmEOPJKRrBXHfi7I2GneUQfa4frVilmEDBzTFQC3J4zTjYKQpXEPfhLV0jFqAoR/Xtz4I2COx87epLAjlyxJ6Hg/OsdiXJMFKyK0tCtQrlSfjHVrj2p9CJwsBFHHr9A+ljAtIlz//uDz48sced6n7LneJ5/COShd+viIX/wYX95gFKNrsQ9cgQv017lPXYslgT+zixZF8G7FEjS23n3qEKeteWM9+GpBuEUwxbVXM4OD4vfD9uO2AMFJ084nKoMFvg9UIVhf1aLSjDyBAN4eYACZiJ0c3VEXlkhkGbZzJIbTNiwDdpY4Ph4AdwUWvSw7y3QOClBWlh2cv5N4HTdLKD7OXr1Pp2MZlZQlV7QrHOCrkcjskhzK1gMdtUhW0NiFM3WKWPRlYIARjQ5KO9UpGedQh4XA/qFhC/F9Rp6iicx6IMsAqOeb4T0aUYEplAqZHd1xDH4IW6+foe23LyRKmEcfiSncMlGCAYwK2QoalgkoN7k8k5g+k7tNGjBI+hVNAwY21zC5gAEHELph5h7YRT33bTQdmlo9xHBE0oECmauoi5IAc6ZsJYAwvoppPcaxaDi6AqG1U+UyXlkFYBbPzpzlEuswx+eBuZ2588C1fwO07kGMilO3qC+Vy5fTRI3ifdotARh4gRXj/guzuRsRliD882IHAvhxLPHB2BBz0RbggDY0OKiKADR2vgTyRwj9zmbUoUV7z2BVFNAURrevY5jOIUDqqENyEisIi9PmhltyEYA21LN9NWoYXEb0zYUrO4dTVEQsebeZaUXHNivgiyNE5XmWIOtszG1HepKTsArKjF3yNSd6FLj6TsI3NMR1GEjQaSJtTilJu90IWzoLgZMVRUexgm/I3Ll7tNe7R49ASxjQZ0+ZdjKchXbdGuUovENor16rOJUoU4DyMX+BzFnMdD03Fwd+CfBJuHntEUXuvUCvXpiTL/E+0mf8O7XqXIOC2PMrj+Pkg4Bza92mqtGF3e8C1oMB3YIEUMZvDNGuVOCNThDuVxVAnQCCJ7oYP7fkXkK5EM0Ea090OE4VsnMk5la3/VHXLWCJzxm/mUp+eagsy2RetTTzHVGc/Hm9pCxxTzhlyQ6YYB4jOgaZKIJ29CJYD3h4ZziMj1y/z+S4LUeD04UzhdJKjlj0afgekxJKVs7B72DkwXCT4A+nY271x3WBheHTg1ss1gMccwIIOI6QqGcY3ejU4xsG7UfntIx63pY6OXwpT7r3KTezOICelD3dewbDQdfP2wYM0hKc6e6S+31pwMDmWiUXMLDp3kDY/2tUd9NhnrhM9yJB0jLuZKwzYcovInSq03RgPwTsAcwc2r5iGduQonhRItMrnN5O3LiPZhbnWGOn8g9ObnmZdohrthB1IzujS/gwSpKnAs17BEv0c5xZE9xkBMWLuWqB3K6dmD2N7+Y45uiJiqUDW4ilPY+ZrOUMxhhPTraDD1/fGZssNJUxbYJEaEQ76pDsYAwrwdff77Rw8tUoNJ4AAawCwfVKUUWWfVYOC+nmOnlTB/M4dTKOnEJUoj84wDZu7C80wHwMOwoNjjsBBC7w2NGM0J6DBN88mQnRUgrk+tDCa0Y9bwruISKzxDEHazuqEPqz04I6AQKc78c9a5koVRCaFyzYpw3/qYvqA0CwdukBCtt4yva0AoNLUMlyzBegalGTgG7bwMsDAAonGPA7zMLY2tGVQlpUoDZda5rGB/j58cdDLJz0bdOIeJaHfdJQPDt2v5H2Tf2pXfNKIiwuHGlnrImwaKt1AigGdAIIOM4pOjWYVh4OvO8yy1JyFbw/4EB8Ju6+Nlu2PA7mgTC49SoU1dLZ0BesV2vCo22pQvy3kVQAjUADmZll4d0/IxHJ87Rb9zQ//HbUxH66AA4AbTwhJCw3uoRo3N8L7/6+q0NNEYtAfV3UvrGhWIP1vsmKVSZwIDsl21GLkHeob0UWZOLPZKTRj+7Q91EHtQABYKJz0fLUoUQlEeLU7hpxPwEcf8WAw5Vf9EEA5PYQ/lHKMmdmb0saMPD2ir3d9dOAgc39+e67b2nG99NT1MdABgYyKFCjGnAnY7ycem/YZHF64pkYcSrQbgzfHG56gWE/BwS9Ayph01TwUjwUe4uiGAhwin1tauTFBrQvAYwHW5RxYMsVyElussBGM2vC/ivXXfsnNPfzNcKiJicdCtf7GgNJiNrk5CeBD0QIG79DpTImSwasKxNDD5k0UbhssBKMalRDXAdwYgfODTVRh+SPFtp4og5BYNRRSjvN400AAEAASURBVFTakBMggIZeFyMe46sFAuQzltEW5eLZW+phYzu/T3Z6N93f6F3mSOop8gwauAEJoIh07FjDEiHHKZIRBwi1axSz+FNgXFgRDjFAFc44/Z4KhI6cjC6FSCkoCK0I0KAWOTTjI0RoYcm8LjJLiacCSlMNlmisTuV4fxS5vh0dBnWQzEv1I1iz5gitXXNC7sJYxzUcOizEBPg8AYJyVXyobkh5C53H0rm04/fX8Zr/d9Lp6URSVdtVODiHMsqcHVDRAYSwsNO0ZHGkJeSqbBmxsx6ovxdMDBG/5mw8ZvH30AmgqI/fs1MiPdRBgYBejIFOhMEtw7IDo7gBDKAGgcYG+hrC395jz9edn8xWUKMz6R8HJU5RhQBadx297EgVcnL+lYYzkibiN3mT+Q5cZ889sp9fuf7EorCQ22Ad1x9/KL75s1JJv1xUvEguW+DA/XF0VgSV/gVAocsDIytfEDZ6FItaJBeecR5W7lFbw2nTpYT3BL6rm3u0NsCBnVOybMXXhTSFY/L4wGBTDiIngIC5IYpRqyJlKJAlO02sk7F8jt6uwz/i6s+P6cSDW3T+p0cUM2T8W+VjkGYx8PaOmuunAQPz9RBbPCSpLipRXFwc1QwKoPff/4Bl7XTHuxUd/7kChA1gAC3AliY9jMRlunCkHBSADtNxHYuBLEXRAQ9+SavmIhynzlkKw6k8dz4X8CuXHo6xCK78eEou5Vje1Ys6ayjwQoZj70lmTdh66Zqt47Q8X1gUkEPBj4VGzcmiKeXIlBBNSfVXAAhBAc3owfMXhChL5x4+tUQVkvvHOsBI8zKMl1vYHHYVQGvB/lMWxzYApD4BZYQvAfrQhUGEef+bniGuqUP4AH8+eauFd69qQBFhaNKkUIvA5ETZwRxRwDMH3ePs6Rt07dIDW7pHfG39f1BBylXyoYKMe16RaZudwAI03aEspv6OsLOW+aJ31cmUj8gjGeli96OOjnfP23JNpFuQwNsldcnBgC7SCvq2izSEY7rzsROMcc36969rcvB2AgS4X/Wb+VND5swuU3cwrlyijlygWywyzetXv9P1y/fo9cvf6erZO3IVy3r6TO9QoZJ5KX3Gd6gge97zF8pJfqV9yA5EYJ7bmXC+c3OU9tlr3bUGtelcU0QzwvMzbWqYxXqgXgO31gNPAqiaVA4nDBqLpyR2lgsj7YAw/5w55L5goD8xBXQZT5m8cV7hxy7TtshLtlQhbr1ydNJnc4T/z1HmlB517o5HAODt+YDuVZZl1QZQUDN0oy876w6OqdG7dO9cma6p8wOT8x14ilg0ed9+WhRzDkOLwjMlY4cuahH2gyo8MqC2yRoAgLD5SgwtjjXTS1EfBfJDzZwFye/D7FTkw2wWh+X4Wkn7jzlEPbhN9179SndfPddaM/7nxLfL+TgNGCTtnqcBA5vrJ+cxUCMP8VCmzZq3oBkzZtr04LwbwGDQ+qXUpHBpAxSsOXuahh3cLRrJHESdP4FMHdJpMtCRGh6Tdw5AMD38hGMcbNCCqvnkopxsiXjaoAQ5+RZAO45y5uYDesk0M5eZA92dn186jsHnA4G5YYmCVNOvAHkCCWgDq8jp28xkHnvdluPP+07uJawD7coVp0ali5msAxgHgGDtsXNa2hA+LBNa1ha+GRBCP10YZgl9KDvG4WM3Ykao6YMNE75MHYLQOG76TtNpqlpPaOKnTw+z0Ek8AQKAAUSgsdPWmgZNxAYEz4A6JagS0+T7Vy6i7QFzP3DgAm3ccFLruAxBb8SIRhYLghuAUDfQT/DK1cE5SIhhzo8PmJDp5PyotvW0DSfxIiyXAyhKTpxsbwGBHW2I32fOtefz27HlOC39YY9F0OZc/pBmlYWgzdtgCUvAKQYGLkTFUeTOM/Tq+e/y4SStB7LoUpVrliI/ltMhc9b4aCpyh4iMdHBPjO28B3zamALrxEfkQjs7kAQa1eDB8flfvLEeOAmgOl8QPneABCQOQ2Qrb/Jb8PZulxBwg0r5kJ3PAPrhz7aTrw3q2UX9wTEUXDcOBvYfvRa/MxX+4/3WpnF5gzKnUpBg9dA5jwPcTBncSOQw0QV4UP0O1Cz0sPQu7dXMyC0Dqm7vjeb37nchNakto+iirD59hobu3mO6GkiA+RkLHQ7akJ1jsvzdlxuDihR69SytunKG4l7+Kh+yrCOiYaWc+Q2ggIOFPsjq0aqA/kE/esgE/wcvnxsgAJaAqGeeKUgYIw0Y4Cr8v1PSgIHDveR+BlO+ncoS6LQVNZs2acw0UVFMo5m4iEToSObkqUlR8HLY3KqTEfNYBwp41AP0o6MOwbw5u0V9iybbCRBwuk8tv4JUNn8OIcBijKQUCMsxtx5QFAMMxxlVKZol5nEq3oIEb52YncbWHcO1hNMzLA920ZGcAAHOZ3qbOibAAyrA0HnbTeZ/UIcmdQkWEUEggPSeuN5EX1CjDiF7sRqGVLUSgHc9ZUqoRaiGYNSzZ22RFIqfO9fMOvG7eV0efYZvY4nEVU8e/kqPHsaHsnQb355rp2vVK2trSYhgeQnCw89ZtMAY145iBOEldHcMeRvqFH2qBffkCQO78BEAVQgJnHiRgQPAWzEm/KPwsIyccuQpmyvaeAsI0MYu2pCa/At1weGfN207Xb0YbynDPhRPgACWgX0sP0TEdr32Mr6X5PtfuHReCm5WhSrUKGEBCQAIYZuP0/rlhyzABrSnIZ+3EFYOgMuFC/dZMijD92DsF6xe5njqilvrAc7QTgDFMSeAgOMoeAfcYFSga+x9CLDgKRt2fKuE/7Am5GbcfB7+NitT4DglHkNLThVy8m3BO6ZtcFltngA+Oq7TMWYZsLPK8XpYwhE+OxPKfVi/BaTwpPkYKJaFelg98VtFefLspfEXwzJfnzp719in+weKYFCVQpbIW6iro3+pviG4B7ps8kuGtjSuJd7rXRdsNn2zVHAwMmy/yYIN6/z4JnWN6eqs/PA7mN+yuVAqwXrwcfg2uv4inpbJzxM+hf0qVTNZD/gxZFDexKwIG25e4rtcLeHEnC/D+/T8n/9wLfA7dYywqiWZpaIY+/v0o6ZpVCKni/VvdiwNGDjcMFgNgoPjf+SfjRxFRQoXpmXLl9HmTRtp8MdD6JNPhju0dj7EgYG3oIDHSUbvOgdjUGh4Cnc+A2jzR6zdq9XeQ5PduVppk+DK26XUEvOBZSH84g3TS1cdz1uQgPYACjyHAmhBCI2K4ik8KgBA2ZxZjbpV8uc26Eee8jg4AQJ0JDsXGx2zfwihN36tOUOxrKlCPR0ogLAxoksdoxt8QFV/Ap3jKYRFNZQjhKG+fetaNOwQFlcu2ueYqAoCFwR/+A54G4EGgOM2C1l6IeYmnY26YRFKjRP78x+PYR9Ut4xWY23nZIrmOoda7PcEEKCFDKldguz8ENBHShZYOE4wKsbabactlDCMq6MMYb8d8FOFXtSFML149k6tBaj7oGCysxBE7D5Fy2dsp4e37UF9uRpFyadYbhae9B2DFvRuuncon08OLTXo8tkbmA7dYo6yv7HsyGdPXqUzh2KNfXb/QtpVpza9PtIChLXLD9C6pYdMTQFyPh3f2mSJ0l0rWFMmTGglfg94TnQRvVQrHB/MKSN1s8Di1Jxl2vY2So8cCpePg6Ub/wO5PtZBFTrKrrdTqF5o02v5+zjOFc/n1l0xFMGSHT54rPdn4IJ6KRaqtASLUASn4uQoCDAAX4XDLEiBHVDQZfSGZUSXm8L0LmV11CSSUNJwcID5f7Vxvyk5nQwOdBGLZHBg5xf4Y+sWphDYOhoxFIQDmHNy+9L+wjlZvp5GNKKHd+jKT4/p6MNbWoqPXD8p6wAB1XMWoJzpMxmWCNUKweWZpIyRXG1Tai4p1W9ynXdy9pMGDDxcTYCDSZMnGWAAVZHtuF279tSrV28PLZ0P4yGbuzfclD7dk6VABgXzI09YwpCqvgQQXHVcd8wMgKB/nYrCAdZ5til3FGE8Iy/foo2nWdIkB2tCYkCC06w5gCiU9UPb6Ex27T0BAjir9a5dwWR1wUdK/QCh/x51ytGAptXFUBA0Pp+XQCnDAYRI7BhS0agDweWTL9dTLHPk4wUf5JkT2hC0cCiglIz7aqMlNKVOe+zEMUdfiXE6RTtPBeNeOneb9jBHUTurgicNNgQ9XQhOTp1pyBJkvcM+8nLB9XPKhYC6EDLqMSBWsVxBk1ZT7ie51mEdAC/bjoqhE3gwtid6mFvakKpd5+cFulAYS+K1fiGjGtlQhTjtp0K1EloAwPtyu4RF4sTB8470JDuAACflqeM3WAAnnJO7D6gvACau2/hxGy1WJ/w2unevJabqjfUAv22EN13BaFW6hHTe5sgQk0jCihuHejfzcor6xaeHRIl1g/y03H9eJ7mWTkEGMIbqhI99uBZTfjxoujeq9XXS6n2mDPOewAG+R2v7NjMi7ums9nI4U9CGRobtpA2xVzAdUeTvOXba+R5ALpgUxIB70RKirW6FA4W9t2INX4DbL1nCMg+0I7UfODWjVM0R7/fnnzMflc2eV61m2X6bhOaUmktK9Wu5mG/BjjRg8IZuAh6y/39YPzG6DAoi465T63UbxDGsyC8RHb9xPqMO8cy6qG9nJXALCBBZ4zHTNj1i0S/cRr6A5jsn0xIhygYSPLkxb2OuvLwpkMDH97RMDCBAn3Ym689bB1Fd/wRuvQ4UfN2nnohQg4/ioNFrTY59cMobN6Kx0M7pHIwhKI8c2cjkdIp5rWcfSx0Vg8em9+R0ij6SowAkOMXM9wQQQDFatizSQpeyc1Dmc/Yk9HANaJUKPo6RUXh/bpYcmJxjoObgsWumeym3ByDo3KqK1gdCd4/RFvkmevWqLagx2AcrwYxJmyzJyXCP+33CngmNb8f6Jbtp8bdb0dxSYBmo27QyJRcYsAzw5w5PIKE1S3jWpvtHFkCCZ3rxzHBTtzjXL7/tZKKo2VnTvpnSQYBJ3KvVm07Qqi1Rpv7srAeeAIIbJ17TQF5uwNK4kWX69kQValjDj+qyqFdO4VI9/TZSEzzrLgPuDSiCYfsuWCwYuvuDa6Pz15o/qpXwO1BzyHgDDqBo6rCUZTp+mKCwkcEBzmHekWP0ZYQ54hH8DiY0qC9OESBi1dkomn3mhCnvASogetGIygEeAYLo7M8VAIZrLIqQU3Ej/Du1f5uE5pSaS0r163Rd39SxNGDwhq68DAxkUKCLh+wECuRwafxUdKne4Uw8hXHdnUKFQoDddZIl7jp6MdGRMPgc+BIv13plWVIyZqFwcojj9fkSQjhCqO6/dIO2no+nHvBj8hKaG4RChW9EDRbdKN3f/iIfTpZ1AJaw6Ctap2IMoLMQ8IHtnNy+6FTXxAnWhSP1BAqgqRvaN1hotSEgf/31Nj60sQT3fszYFkLYwU47jjkEKGSYlZ03TZ2lwgbmtn9ntJbuAoCgOpfyKUETvJ1FMdIlasM1kLPg8jZ8yWkS2/eetxXUUVeOjOIUQpH3y5cAdBdi79NOFpdftvTw43zJgUjT+mWF9Ycfw9LOSmDngG2nRbejDd258ZCmjl6ujSgETX2thpWoGEtgldplx4ZIWjptm8VygchG4+b2t8wJ5/3l8BWmHAh4dsZN70zFSuQT04fFafTo9aaoV2rOA1SGkDxx5i6LAArtdNtm1vDPngAC+oTG2p9RrxDpB/kxElMwDpJ+ITuwpwRkoDW5GcsJEEDgDqxciJp8xBLMeUETuo1Qvcxf4LfX/6THLMTx40fxfPrXr1l8/SuPjQhj2bNnomz4y5qJsmbNSFkYvakYoyS5KXZhfNX7g+s1ecleU1hi+B3I4AD5DkYsTbDY4vsl+3450YrcgAMo/fpt226KLigHEuHnC2fgOSeO0OKLMXyXWCYWIIgOknEF8zxz/y71rROc5mOQjNf1TXeVBgze0B2QgUFkx16Go7EuDrI3oADCtOoshdPTcd35aXMw4ClDJq+f1CVCcQaxsITVShTQJtfR9e8WJKBtk5IFqUKBXFSIJRByAkG6ceR9SPIWeuaKo8O0EyBAX7qweK2rFadBjDoka+umLNtrih2ufqx0lgJwzof0CRZT1oECxG1XKSURe8/SpFFrRTuseNLImyqzDQiQF6Pj6HzUNeb4GR+R5tHdn0wcdDUc5bvp/075GYBzK1g6UZzggzBsTEuTBpjPETSq1auPWBxNcVxHpeLt+BIUkj0HL9lSe3g9vgRYSM+oXOlZrgY4WL7+7Z8UdyteO+cmbjv6cUPF0PHj0VZ3j7Ef93n2N0yYlrIIO103nZUA9zCgfjkttx9j2JXbcffo9rW7dDP2thG6NCuL5qKWrDkzU75CeSifrzvhz4naBOtBt8HNTEPY+VOMnNjGBHx11CJY2KZN7ygSoqFjO+uBCs5Nk2AbsAJ6iv6D3zuybWdnwjZ3Ukc/AAy//eNfhsM7tnluDCyjWFhYT3kx3FCF0C+KEyCAdaB5SDnXVCEOBM6xsKVnTt82Aa/40dz/hxWsapXCVIElWlRpgXIvuD+q3xWO4/f53ZethPIE+1QljPq+VcEB2mwa3UEocpIKDqD8Gxa6w5SPCE7Jqzu2s/gSQPD+LDyM9t6z5op5UwAh8ibz9bh/h7ZfvyKcpv+/qXPSgAEelP9HShoweEM3EsCg6bxZVLdgIWEaHLhpi4mHKMc+VulDqqVABwqgTV/YNUQrIEN7ouO8y5dDpQalY/2VLBifiEeuh3UADETZ8IZ6BJDQqLJfilgS+PzgKFacJVZD2FUUZGPGecjlGps7sjzzMKtnma+DmqVYru8JEODaekqkw/tLDlCg0iIg2AxizqSBjCcvl1nfbLZo4u045nK75AxPyYXNSkElyZ9x0z0VJ4AAzXerjkHaLiBI67Lg2l0btRMIGikVihGWAf9Seakqoyh58mOA4KpLVAYrwZdftTQJr/wclszZaXHGVbn2vK6dlQCUoSHjOlqcfXk7eRl1KIYunLpM11nm3dP7z8uHPK6nfz8dlQssSQX98lEJ/6JUrExhxzZ4Ftcu3kXr5plDQSKC0bAJnSlvwRym9jogPGhUY2rQtLKp3owZO0xg0o5+p/M9gCb968+aaK08fBCeB+EUey7vsmRfKVVAV2r/UVnHMLjy2FA6zFl2UOvUq6PkyG3ldQDyA8witmvXWQulT66XlHVYc5CNvWZN5tOi+A7xfnX3R6Vboq5K2/QEDjzRikDRXdSzqTENneVAdkhGJZ0SUM6UbHQk/YP/wYzjh7QAAdWQAwGyRGCBQhZwIXXj9SqAybVnTw0gcPHpE9vx04CB+0sbEx1NW7Zuobt34yNuZcyYkSpVqkxBgYHMapbdfUcpWDMNGKTgxXXqWuWrqfxDmXsI56bA2StEd25AATTnX7WoraXW6NLD884BBjwlxeF1PS0hIB9lwsLBc9fp2JV7tvQkTjfq9lFF11YEjO2NJcHTXD0d587PqlOx2g4RRYbP307n7yaEssT5zerbyASqcG0GfrPRpPUDvWB0j2BBLUiMpUCn7YT2dMKolSYnX1gJ1Kgt6rlAaJw/ZYPHiDFqO7fbAAnlqhel2o0qeQQJAAjTv95oOgeM46QFx3FYUmYyzvmrV39gUxRd9l9xULMCjer5y/fJUwhFTVNjF6dhVPFnyYhYJlc3xS4Gv53lA9do/Kc/WhxwdYIwxrezEnQdygTnlgGOU4RVIPTH3RS57Ti9+uW1Y11vDuYomJU+aleLWvdq4tgMkY3G9v3BRC/C8zTgC2YRqFfB1FZnPQFQGvip2cqwePF+S6bozz9neREUgA3q2dgp2yy0sGG9a1HD4DKmsXUb4LsjUtDB09dNv39dXU/7INBW8stDZVkUoFKFcol3h6d2OIeVG49rQ47iWe3etqqRJ8BTP/h9bdp00hLoQG0HIFumbD6DKoRjnC7E6124EC8knT1729h1mlka7Areca1bV7JYQ3l9gPqvvttmAjtqgAbUTQw42Dm+m7D2qpYDKIy+aBHvwO4WHKhOyR/87W+0tVN7kbSUnxNfegIIqMdBQuHMWQ0mAm/raQmwcu2npxTFrAGXnj2hs08fCYuAU1tYLm6NnUinYmO14VWd2qbEMVW2Sq4xkqPfsWPH0NIli6lW7Tos4mU9io1lyQW3bqVffvmZUX6/SHJQm+Q61zRgkFxX0st+5IcMpsXqCxaLHmSzIl4wlacuNMVKVh2Nh63caeLhyy8o0emfK2r0BexGTOw6LKHQRxWLCnOp2i45tsG3j2YJaJx8GBClpyv7sMtUGzdjc5BwhSVWc5MvwU2fsDZULpiLGpUrYkSf8NQGVpNu0zaYAJAaipT3MeaHMBPXFaBg1qctTOfdd8SPJuFDpQ/BZN+zx0LeJelAAQ6OGrzIJFDrnDFFJ3+u6IRGuU6OfJmper0ypvCUOJ45+3ssAdYfRhhKHo7yBgOFj+79pOWu8z4R4WbwWOb4me7vfJd2qUvK5Qnk2Gnd7bTC2oGVnRCsnrI/FAAGlMdME5yOUYrSMWEta+YMxh/2uwUCqIuC+eri7jvNF+DvswELTaDA6T7PGr+KwlYfjh/wz/9urATPHv9Ma+Ywy9PSvaa26gYE/EKlChqWAPXYuWMXGe3sCT28Ye8QifYjpg9wtCDAejBj3EpLXoWR07tZwAH8Dob1mm+iVuksTjpKng4c4Jymzwu3CNaeqEXqtYAl4RzzEXjM8mNcYyE5X7JMxw+evrRYFQAA1NwYSI6XGP8EO06+N4AA75758/Zaojvx8+NAoBTLbu1XPLfJIZ7XcVriN3CJ+SUcY+FRIyOuWIA92noC9+r9AThYM6+XiVakggO8h5d82V5MTaUVwco9e1Bz47jOSj+xSQC1rlLyz+NWh+SxtatS7wCzX8roHTtNmZIBDtRwpmJCf644+SCodevkzk95mPBejAGFHBky0hUm9Mvl/ssXFMmoSmouBbmOuo4+6/kUpvK58hjgQ5Zn1LqpvZ1Sc0lqvwsWzGcR0b6yAABYEBo1CrHsT+3rJo+XBgzkq5GK6/JD1mnVGtpz67YxOl4K+3p2FwlQvg2PpO+PnBYzU0HBumPnadTWhEgHdqAAGuq+MzaZNNnoFJl2W9QoZRJIxWApuAKQsP3EZdoVfd0yCjTsasQeSyUXOxCZCTQhgIV7v8YLcbwZpwvBKTvvB/E0o0oMBKAg07O3Sd7UDwj60fkTYL/KcdWBgoU/RpqioaigAB/Ofn0XCbO9HShQ6UPQsE+e3VOEb8R85GJHLeHafaestHI/uvVnT36hU4cuGL4JuiRZGOPTb7u6sh4smrnDEmlH5Y+rc4AwM/W77Rbtpl2yN7V9amzjvn46YqVljnZWAsxJBwpAERs9kQEtBlTUooICXHc3VoJ1C7bS4vGr1e6M7UCWiIzTgeA38A7LY+CpAGTAFwE0pBgW8ODqaWuQgfK1StKQyX0pc7YPbLuDc/LMsWvEcZzP1JWfWGhFOmfsCTO7WCIz6aI+LVzUU0vbQrjZ7xfuNzmtQ8D2RC0Sk03FFYDZb+fsNmnSMbw3gAD1Veoi9qEADFSvUYQJOeW9BgLxPdj/BzVw777zJroXajuBZRxX36M6nwOVzimHh0YfqjJtTr9GIhGlCg5gWY4Y2UVY6nWWg+092lDZvGZKrsoYwLiyfyG2dQVa/oib12jPjWt08O4tSyQjXRtv9yE4Stks2alK7rzknysvy/dj9QuS5Rlv+0/u+ik1l6T0+/r1aypapJAR7j4i4pDllAEOsjMaURqVyHJp/nvt4A+ZmtlYfhmoFKKPq5Wn4cEJJn44yAZPS/ggyolX5KsJekurr1eaNNmwEkzr0zBFLQTyHOzWAVg2sqRfS/ayGOBMKJILtO2fMEqDnV+DXPdNruucjAG4OgebKQ2Y4/FzN2kwi7DCiw4UgLbSX3IQhhZyzLBGvImx/PprFoLy4BWxb+LEVpZwpNCuz5yYMBZAwcylA0UbdUUVsHAcQpaOnqG29Xab+y3oEmfBetBjWHOP/HYdf9wTOMA8QdGZ8b05pKUuGo2355TU+nZRcuTsvOoYOlCgo8nwdktmbDbx82H5mbJsiOO1hgA/ru93FsEdWv0uw9tQhQCWiM4FEOBzsFtinIWTfqSIzccsVQZP6UEN2ta17Oc7AGh7hYzjm8ZzqwMHoFv1bTdDWA5gbZq6oLfFkR0gcuiQH4Wm2g54Y0BQ/r6Zvdtk3YN2+uOetVzRccSkU3DFzkqgRu5xmoIdsIbmvlmzCpb3j1NfiT3mlKNFzkMh96+CA1XJgrqqBXft1x1N1phOk1cLpRq+natHthPKNPU7DBrv1A5SCFLF6g8q8PFhPS35c1RZAPOS5QFseypwDN7HQMLWuNhEgwRYA4pnyUpFmYXBLR2JyzOe5pcax1NqLknpd0dYGPXp0yvJiXFT4/phjDSLQWpdaWUcPGSxN25RxVlzROiyuvnz0Yr2bUXNzss2iIy96ssEmoqm368R2YyhqeAJV0QHbEVnKYA59JueIeLFJtd/U+uY51KWYXURAwhq+aisD7UNKvNWAgRVm4S5T+laz5SfgJ+PmtEY9IBVEzqaMqOCH9vrkxUiNKLO/K0KttB4Dx7cgA9jLBH2c0i3eWIfaCU/rBik1SCjkqpFxj5QS0ZP7eWR3oO6iS12zqRuAQnOc+yQ5ULQwzycBGM+Twg5X36xQVhc+H5E+dElRuPHU2IJK4HOwRgRWYYMCbF1tPQWFCCD8aQhS8Qp2GnWRQW2AsfiyQNnmfwI4DDcqn8jatiubrIAAnk8rF+OuUpThsy2UI1CutahQeN6qtXFtnp+cEievPBjy/Or/jbsrGgqrQga8Tlze2jvh11UHAihvToFmugrYsKpsGJnJYDm/NMB9Rwdpvn08HwiFLCaRR1gqVt3Flc/pDyvmmpLndVC9x7kExo/NdQUaUwFRPj+NBm2WCRBUylFyOvTaeoG3p1haZcVP4sORNGk3SfE8WUs6Ed1Fj6bl+g7D6jhooRocLUL5qHlXVryw2KZHOCAd8Z9Bq4y6tBl9nf3RXyYWH48I2Mn+DHhHyUDswpwWhA/7s0yKUKzN+O4qYu5fNBohJuqXtX5OXRKoiMvfffdt0wZNd2gCwUF1aSDBw+Isf3L+zP/m7Ji+21YSQMGb+gu4OHtPH+RiVt4uFd34XSkRiFSKURqroJZTJtWXxPRY8DMTXSEcbx5Ab1lZLvafPOtW4KnP31jpGnOfJJ2Ajc/ntrLkYvCTFQoNXKFOp9uX64yORsuHt2KSviaTcoqL/ab0U1NYQKhMevda5HQZELTLSdlwpgQGDs1/kYIy3ZaUT4/VYsMgdENtYS3T46lHYVpwsL+HqlFbvnj6jwh8EyfHmayvKCO7pqqbZNr24k6ZKcB5WOrviNOgAgJw0b3/IE3tdWoiwpsJWLHUZrYZ4a8i0DtGT17aIoAAtNAbGPHmj20ZPJaEyhpM7gxdfskgQOutlF9YwBuJ84frFYj1Zpmd+1UEA7t+KTJ9uPrqEUQwudO6WiZQ0rvACjoPnS5ieaEMVWh2NM8Bg5YbKG2eQKtnvpMjuO6EL5qBms+DoCbmjF+w4JepnwMqjXXE6Uo/OvupmAZdSYvF4o6UFT3ftaZD28sPdGCeeXoe/eo47qNQmGI/etat2T5enx4lbdumQYMnG9Jly6daf++vYbTMZbvv/8BFShQgPnoRBkNmzVvwXIQTaR06dI5d5RKR9OAQSpdaHUY/JDyfTaG4p7Ho/ihlSrSiNo1RbVBa0Np06U4Y1unXSj/xQIRUtPOr0DVcrztoECcPFuBD8I36yPpzk8v5N222nhTpVTY2MToT+PXHhQj2TkZ8wrqR2dk5yBqWrM0P2ws8fFq22eB+JC3b+pPPTsmUMdQSRZU7OgNqtCj41HzgVUKBrSsY77v7Ugt4W1TYqkKdgApK/Z+bdH6qmOr4ABgaO7qwZQ5Sya1qmUb13TJ4kgBtlDBSfto6SAJO1RKGLTS/fvX9UjLULXedoItn9qgtpOE87cbSwFoPX2Ch5uE8u5j2nmMFsTHS64loh992XOKyXqw4MBUx/wHqvVrZcRE7fOs+t9sifhSa1FTQ5muXjPAkUMPatHnk7cKqx+uhe63nFzXSNePThD2xkrA+1QjNXni9PN2qbXUAWu7+6MCJd09kSlFCP268dtu4lRgVag/ZomgvI5pE0TNmX8eL/BpazFnE98k1WqAA03mrhTZkZEZeWvfDqK+vKImOoXv4cmB/ZI1FKk8XlLX/7sAA6frdO/+Q9vDHBigwuCPhzBaUV8DBMC3YBxzSAZASItKZHv5/vscwA/pv/ok8L1jBvYXDsdwWCr89WxxMVZ3aEoBhQuI7cMsI3CXpWFi++ioLpQtU3qxzVdkjTZ4kdvGdeWHErXEixF0GF5UbTffn5xLNbSqJ618co5t15cafQigYO7g5o7ULPmDU5lF6ZgxvIWle2gbx03fKfbvWDnQQkGQtXd22rFBXWeJ6DSeBMZRvWeIcKTgm/+wYZRHIVxMMIVWVLCiS2ClG1rlj3s6d7kPCBjjx200RVkBrUhNECe3Seq6DPLQlzdO0LK1ADSxpZvsTecI7Tmk7bdiutPXDPeYaG5UlwmmnASehHHReQqs/P76d+pYdYAAKbBaTFw22nGkrh+NEQn3kLV54Bi9lr9F7a+EZc0urCsG6tL5B0E7cwMadYK5av1zPIEkHNSNrePVexoCGvnBg1eIaqlpSRODuljBb7dD+9kC2DvdH9nfAE7Xq+aYqWn4vrX5/EcxquprMHvLYUF3xXt/xWftRF2stJy5lqJZHhwUncJO9Rs8/UlP8d03Gkn/1GiFXwYGUJ9qVaQab8/qfxdg4CT8O90NDgwK+viQ6nx86FAktW/X1rAinDt/wambVDuWZjFItUttHkgGBr6ZMtHhAX1FBZlGBN+CC58PEMewIsdPlhOryJXgcBz8eUII1KTQcHhyno0sZrVdAV++E8uS2qxWaUcB2a69037V8vGmwYHsiOZmLrh+IUMWiVP8uk89qlO5qNjmKzIPVudwDBpRu7YJgFEXKQWa816tv+dd0oJ1H1scK/lBVWDUhXnkdVN7qdKb3AizmOP6Hw/SYpa3gJeVOz5zZTVAfZ320S5UJe8/sUv4OMihZr0RulRrgSeH60kjFoqQngB/S3eNd5y2SiF6E5YCdYLqnEbNG0yBDaqq1cS2bHlysjrJVgMngKWCODuttJgAW1EtgLpY+nL95FhPLlCA34Ia9WzlqgFa/4rkmHdS+1B9DraFfqKdK6w5XT5eLoZb9n1ni59Fi+FLRLhY1bILpVDzCStFe5VOJEcJ1NGJ0DBg2iK6/mu8JVwNKCI6/nNFDmX6NlsN3jZgkFgBXr3+8nZSzpEDA+QvWLYs4flD/zxcKdajos68FZGJ0oAB7sYbKDIwkJOZYSoyjai5ny/NbJMQkQZOx6XGzhcztvMtkJ1ik2ItUENrioFtVgAQpg1pbOHO21R3vVsNBwqBXE4247qjJFZUIxCp5mRd93PXH6KlO+KdqnF99s7pZ6mGD3qDDrPE/rFD6lsimshmfVBOli3vL+rzFbeCDurLWlU3AiMfIzWWcEruVOdzkcAKFKeZa0Z6HFr1r0DYzokzenhsxyuoPhx2dC1ePzFLVcPp7Rje3GOEiO0QOEpM0w346xI4UFB3CpcvSLO2TBLt3+SKbMVARKQ5Yd/Y+jrg+WnqP0RM1+68VSA9fUkfKlYin2jHV9R75qSV5m2wVAXRlPY38JT7RJ6b07r8rkE9XdQzp/apfUy9P07WPvka6ehE8vtadULGeTUeu1RQXNX3/+Pnr6jqxGXi9MOHtrXkwJF9DXzey0iRQ+3fT49evKTaCxcLfwNVVhADveGVpAjNyT31lJpLUvrlzseegMGBg5Hk6+ub3JfE6/7SgIHXlyx5GsjAQA1JlnPMVDGI6nSs8hjPjestYiaLRmwl4JO5ggtpFzpTrq9bVzXdujq6fSo3U1cnMftUcKC+lBPTp7dt5OsqJ7tx6kd2OlYd2ng7OUQpNIuhKxJoZrzOyM9WCaqLHY3ILTVCpeu41cjzuaTGUnWYXRA21hKbXjcPNYxpeNRkXTXbfao2360QaNuhckDVbnordAX7fyZ69GQtkDXnbsAfIgJ93GiM6P/70PGOScZExVRY8XZusq+BnRMypi1T73RJz/ipyfcNYG7zlmH8kOMSoUKnzt8v6vwwsY3XSe9EY4cV+R2CaomhD/Hu69T+mq+yzM9F6PPPm4vtt3VFvj92ihPMXb4fbuhEp5YnAEy0l5Vuum+ATCcaWa8S9ajpj2aiQNgv/91CsR0xoBP5Zs0sttUVNcfB49GeFSRqHym9nRShObnnllJzSUq/PFxpeRaBaMvWbaZTli0GKWHpMA3mciMNGLi8UMldTQYGOzt3oLK5c4shZGCgJkORgYEdjQgdle6XQCdZMaxlokJ9XmBZirtPWC/mBaFWRxVCvfV7YkyZfNWXqegkiSsyjSexgCcpU0jMdZWBgS4SEeYjf9QrlM5DU8a2skxTBgYzZnSiYn4JzwyvLAuNdtpP1FVpROGxCaFNeV9vwzK4aB8xDW/Ai3wdvAUGGFDWmHqKRCMm6HJF7jsxoMObc5OBgZNwzKeuCt977iX8/nmdN7mUrQaeQIsMLJ3OXaafOQEDlXO/d9/nri+FrKVODWCQVMuEDAzsaDmuTz6VKrq9P/K7FlOL2PyJZYYVOk8X+9RvmWw11gEDOXSpDhigY6dvvBj4zxVEKaq/PIG+lAYM1Ctk3k6KAG/uybyVlH6R4Kxqlcr0yy8/k2oVGDt2DC1dspgQmWjGjJnmQd/QVhoweEMX/t8BGPxf9t4DvGoraxde892530wSIISEYjDdBmxjcMGmY3o1JQQSIB1SSQ+TEEgZUiakDOmN9BBaAkmooYNNjDEYbFNtXOimJaGnzNzvv/OvV2bJW9KWjo6xgZnr/Tz2OUfa2tqSzpHWu9a73mVPxLLfINVTp4IIXfhV7Xs+71X51X8XYPDQq3Np/fYSydiKBga3X8cKLvuPG6e4EhiUfNPKAgxU72N5A4PzHVsFBoFyKP5fBgYq+L3YwODx5742Kw5fCGDgFnX0e+9VgYEul8nvOBeynwoMvCI6lcCg/K/K+RjN5T2biprL+Y774YdTWeDiWeNwbx89htomtuXaIB8ZikSQL122bPklkV+ACVYCg/L+VvocrzyAAXZV9IqTcoLlZfFsYzt7Uz0ndoUGta+ai+CmuqP2L+v7SmCw1zh1bvQTVa3m/1VggDyDa7tOMr9i5wsM3Ghb5g6CfKMmspYFdKjAwOsaY1qVwKBEjam8gQGSxd9+Z4zvK3+hgQEmpvOE+52wCgzcopN+x7pQ/VRg4PW7CgQMAjnEyjtiUPy8NyWtMmIQ3DfofA14t72Vx7hQIHr9tdcMMID9ABAMHjKEE/3HXjKgAPOqBAY4CxeheQEDVevYi0qEaVc0MOg19j2zGiQSZ3slhlPINdWMM7Ypt8QLjg/iEcf7Ptzn+fuS8bZcG+RSR02eaSZ+XeyIgd8cBzVi4KZIpD6s/FCJ3JLrVGAQTP2C7zJfv+gypfYviz2B1C+VKHN9Hj314OfmcGUBBmp9Abdzbe4gyDeqAeNVTddtWBUYeF1jbK8CAz8J3HYq0bzcz10TfN3mV1HLIVs6JOI2c/jyohJ9+t739NVna41xvahEmRsLaOLEEmqVl+FpTvDcG7uwQEVFDKDTP/yuD83d6wQMzJUB3qjAwM0JEWCIC75arVTtdX3Uey0maQdQavQb6+2R8kDAQC0+6odKFAgYpBYU0g1fzcFUjFZJJZIzoX8tDwNeN3JFjavb18VeVgkMLtIVUIHBa31706g28eZMbv18Dq0s2m98tsuZ2VUP5o69jmIb1TW3lTeqckK/uDCafEfZDPVXPl9BXjKlsj/11c34VfsE+95eOwDblzV3Ith9q/3VHAc/UqXYVq1h4JaYbX9Y2atyYhzVWHV78E1+agalLNuG7hRIkUfl73tpvRuDXYR/ao0F7N4veFGTSb0kKN0OyV7Q6qGH+1Bychu37kEvtyc3ByNVip2pdLFA11jl2WPbQODKbnwn396LHnzOqvWOcS5G+/TvM2j2m6WJezMy36eada52nYr6/ek6MJ4mvOI8DruKlRcwUGuIuP3+7JPRyYfqftv27cr6edAtb5sFEjFGWcGBeqyg5Uz98A7Pom5lnW95bqfWmvBKmFary+tyMb5bnUOTvygpXqlTkVPrA+merWrx0ReHJNENHVpZDlOVI8cKL2Bw9h//oH4ffWoWQu3duBFNu3GkZbxL4cOlZDRX1FwqatxL4frZ51AJDOxn5AJ9VoFBYp06tOCO0uJjszZk018WrTZmopMzU1UPdEVUsKHq1cDnshrR8NK/9OkKS2IxxtM13ESHdm1J917fRbe6zMt0oOBiVXHW1VQIJJtq90C5ASf1oa6T0VM9ljiZOi11uyKPFwe9rLUCynwhg9hQ9XRjszGPDaHrR/cNOIK96nMg1R77gHZQEKzRbh/P7bN9P16GjH0M+zUOFDVQZWm9KDWyn7ee+YgWfbZCPlKgmgFmxwp8k7k2m568sVQ2tevQDjTxzYdd96jmF6CTGyCyf1/cfi+qNxrj+fGi60DB+SgFYb+Bmr1IIvqXZZ/2e01F/Q4CHY/f9So9D9u40Z/s0Ztxd/eggX1iLbtR6xjcPiDe8jzD87DjuPfN/vb6QN+zqtcDs5ab63XFR1XHX8+mDeiL24ab/e1vXlm5ml7L2GAutguVmCsu8ptLyWiuqLlU1LgX+dJpd18JDLSnpeIXqsAAe1MrHweSM1OLqFx12Z8oZcJtWslSNWqgq9IYzFFCunQdV1DNyj1IzRo6pdVimodSk9Bryr24Wfr23TTh82Wm9CrmfLFAgZwvu2yqn8rHKp3ILWow69sMmjo9zdgNkgdnfXCXo/Kx6hVz476rHmWv6r+g6tw3/EWzQuylWvnYDwUGJ81e+TiQN12up7zajfWKNoZUlSnMIRiFomCiIilLN9LkRz6Vw3Q1kqUDogZjk8ebtQyw/FKqfByohgHmq0YLvMCQ39+K+rvzGy1QPdOYU1kMdGwXbEP0ccKL31kiB2XZt5okjzkEA16DnfP59LfXMPC6PoHusfb8AntenXrv19XSueOj72hNwUHjcIa0akpTbupvOTR75eOZN11LSc2bWPrIB3tuwaPt2tLjPbvL6kvq9VIymitqLhU17iV1Ic9NphIYXKSrgi9ZoyeeNkOE9nLnap6BnU5kL3KmC1fisGBUj31vgXmEfjnx5gYX8Q08M3PXbqHX56dbZnGpHMM73/1AH68oKVqGCSKk/NSNvVyBkT1qYK+oiTHsHGGdN0t9WCPEr6tGqsovVr3yMpo2fzxdfsWfsQtHs3tWLzalCNSXlx/7zCxshqq17897imrWruGYu7oAlJAn7v+Idm0vNhe7eX/NDufegNoz9YMVZo0ILK5oUIB9wKAZ//h0yss7go9Gg1Fz881dtFK00gev9urHXhQY9FejBgBaL330sGdOyd6CAzRu2F/pzPGz2Jyq1qhCT7z9ACV0sXpXjZUV+A8gZfzNz9OuTUXmXgLlFvgFQn6jBX690TJB/I5ffW+pqUKE5W55Q7JNeb+isNqDT822gANUU3/03j4OZ4PXvlX6Ivrh+/nouORLhlaE39BHH62kRQtzzMPQRVKxEtGCu/4yjYqPnDL66sCSWtxM58BRqaR2B1XhkZ+oz2uzzHl8fnsydY5obH7GG7V4qY4NIJ0Ljh2j0V9/Y9oH4dWr05I7R1OVP/1JulxSr5eS0VxRc6mocS+pC3luMpXA4CJdFXzJHvh8uhkmRLnzlXeOoZArSxJ7VToRpmgvgvLs3FU0beNOc/ZuuQaqig86X4yEXXOSPt4IIPiUje5TfCNXmz1sq667GO9Vrin2j8jBq3cPpNpXVdVOR40aoIPdG4Vldi/j52/cSo0alEZoUJl31Mh30NVoOu+YXZWnect69NI7d7qCg8mPf0QpC0tBDiIHj02+jSJjmspuKvwVBdemvjKHNq/NtezrhY/uo4RO0ZZl9g+oXjvl+TkWUBDIUJYxVKAlyy4EKJB96cAB1vlJeFYTzbGNV3TIDgABDsa9cKtnwbiUxevoxXvexNBmA4Xn4b/ddUESkrH/z1+dbYlcjHl6FN1w1xBzPvY3dlDgFi2wAyu36JKdQhTIa74hq4j+9sb3FoMcPPa/T7o+KIPcflxl+Ww3hDEGIpF33tjJQZ9xG9/t+4lo5ciRnehyrkB/sRqS+F95ZQEVF580p+AWRUWH56csoFXr8s2+9lyPQM4bOz33vbGDqEPLUm+/SvFtUqMarXjiVnNfeGN/pv89uTuNbOsE2gAFQ6bNMKsdY9tLlUKEuaFdSkZzRc2losYtOYOX1v9KYHCRrge+ZBt35FHs2++aM+jduDSxCHSi3u9Mo+O/lxjH8C4sHnszU4ZKbsTwTox4/1s6wZ51NFCKZt871FF+XcfPR1GWp2/u7WrAGgNe4H9egAAh2ydv6Ea9E1pc4Fl57w5zvvfNb2jr/mNmR6+EZHuYGjkZUydeb1CwZAB4G8c8+oVpWOgoRWqBLGyno6CoUQP08QIHoBQ9cecbtCtnH7qaDQmbDz1zk6dn2excxjfY9+xPltBXH5TycmWoG+7pTaMfGiofta9QIHr56a/ozKnfzPU41rc+e8D8rHuDKMGUvy+0eOvRD0Dr6WeGXVCDx834CuSdtVOnMH8vcKBWAkZfRGOmTP+LJziwJ/wa23H0YMDNzM2+qa9n8i/6lqXpAAHGad6mKb393WTXIQEux930dzPahI66atkAkuPummp+ZxBVm/Lh3dSwSR3L2HZQgAjda6/fTI0a1bL0kw8ffZlKM77LlI/G68UCBTIJRA6efGme6SWX5YhgjL2tm8XpIOvsr27fT5yP0WOSyjUx375v3WfMZ9asNJo9K8Oy2gvQ2x0uiJ48PW6QuT3u5UPGfWJR4Js3ZYwZAcZz9LoXppv97dRcVYkInexRfHvCcULd2jT99uHm81wGXrRtB41nPfuff/9dFlFZKUSHz5yiw6dPU+bBfbTjx6N0ShlTBm9wZXUKrXal8TEhtCE1u6ZWmaISl5LRXFFzqahx5VpcSq+VwOAiXQ35ktnLnX91w3BKCg8zZpW6azeNmv6dOUM7peiH3D1022eLzPXwUnz38EhHvoEOHMCAnXxbH4vHwxzoAr45euIMfbpkAy3NKnBECDDH0b3iaViX1uYN+gJOzdeu8EB5i2lFX6Vtt/R3i26sWJ9LT36w1OyLYnBvjx9mOT57AqFOOUNVDcFgTz45mDnALc1x8ebtl7+lRXM3mssCgYM3n5tuiRxgQxiPtz86mAYMTzLHKY83Px49TmsWb6SvP1puMeQwNrzZ94y/PmDEQpWZlDl5GcbSRxclgJHz4IN9HOdQtrkQrzBE33prGZ05U2oUYF4TJgyiBJYA1jW7kYs+XuegLOAAEqavPPKOxXMvc4Fq0cixQ8sFIGA/09+cQ5tWbZXhzdcRDw2m0X+50fxsf2OPFGD9hNdHU9e+iZauuvOlS1C3K0d5gQKA+WdemU+5hUct+9JRAS0dLtAHRA4WLM0285fU3ULkYNR17XxFM0Cp+vSTVMv3E2NBcnfY8LbUvXt0hQNqXZQAc0Ak55FHkrX7t4MCHVizR3PVQpS4x6sy2Xguff3kTaZjzf4ctucWIK9g6MdfmU6+Guzc+/aOGyi8dmkkGMcAUHDH/FLqL5bZFQuxzK1BwShldz4tL8qnNfv30M//KL2PuG2jW371n/5McbVCqGWt2pTIYCG+XoOAYEHsGd14F3pZRc2losa90OfHz/4qgYGfs1QBfdQv2aCPP6ONR0p4xqAUbXhgrPlDVDmJmMbUYf0puXWEOSM1ERkL40Jr0md3DXWAAxjgz3+5nNLySmsPoD+48Q9fl2Te5LDsQjTkPyzM2ElLsgoduysPQABZ18P8t3l3MeUe+pFO8c1d2r6fT9Pu46flI3ULDzXe17+qGtVjcFWVb9zxTeo6oi/mBpo39jAzutzBoOb+azs7eqtyeFipAwd276OdDwuv2dh7P7aE0XVKHDpw8PTLN1PNWtUd88ICUE5enfC5mZAsnUAvahbdgNp3b01RsWEBOf+ynfqKsbczAExbke2ITqCfXxAC427qm4toc7r1u/PgRAYw17ZXd2l5D8P7889TLecMHbyMCssAF+ADruvzz8215Dtgt4gK3XlnT63hg8jB8+O/tFCpuvaJpjseHKC9znY1Koz/4HMjPcEfuP4LZy6nT56fie6O1qZHK+rYJ5Eat2hIjcLr+6IaAQjsydtHRbn7qGDbbksegewA49700HCKjG0uixyvdgUrdNCBAt150oECGJ9PPfW1xQB2UyHSUYfq1bmS/vbEEF/eeMfBVOACRA/e+3yNJfcBu8N8x4zsSG3jmwYECG7eeowD8DQgOYZ69Ih2jaqgX7AN+9yxfT+lr8+35BJgnEDA2Q8osN+P7UpEdsqoSiHCcyb59Vlm5N7unDvLEf/2Uz4yQQHmbK9NhGUzN22mR5dao6YfDx5EydFRWO3aCn46RpsO7qf1HBWYW2ClYbpuVIYVCbXqUKf6jVyBgmrPlGH4ct2kouZSUeOW68GX02CVwKCcTmSww6hfMrv6AORLZ948ygAHuLEMeO9LKjxRkjCF/djBgT3fwA0cYFudAYvlAAjdWodRx5aNLd5rrCuPBmCypbCYNrNigy46gH2cDyDI3nuI1uzYTTsZBOQc/NG8UZ/P3EHPSmLQkNgk1BdQgGLF375aY4l8uOUd2OtDABy89OAgqlWjND9BrZaK4wA4uOuWrubDG17NRx/50jRg8JDUeb3t4ADUiedev5UioxtpTw/oPYu+TqVPXp2nXY+FAApxHVpQ7XqlOvIt40q82r+wEbknvyQJOGfDLmMMe+6AfWDQhkaM6edJW0LuxCfvfG+JgmCcQMcDQ+/995c7aEOBjAr7HOUzDCx4YY/+eNr4k+XZbLxU5STvML6W0lpFhhpvkSdyBXsa/Ta3qIYbdUOXfI3zMv75GyihvZOCp/Owg49/073JnpEaAQhfv7vATEx2OyYY9bp25tQvWhCg9vUDCEAdmvLUFw6QqQMFOsrZGI4QXX9zN3W3ZKfpYaUuGofr/+G0FJq/vKRmiAwSbIIv6IVb8g/SEY465O0roSTu3HPMpLTIuHhFRXlpbSLqU1j9mtSU/9R7hqz3ekVE8o2PVpl0RekL2uLIIQk0qG9swO8q7j3z52c6DHUZC7+teKblhTWtQ9HsUIiMKp279PF6xfjb+fe0Lm2XAyTLdl6AHtfntfeXWXIKdJECNdkY4+I+/Omk0sjU5JkrLdFgNeEYIiC3f/gtZfHzRpqa6wc68L0zF1DmodJIkv3ZDS//hEXf05zcPBmC4Bycd8uNFF6r9D5iruQ32GZh7jZ6PyuDCk+V5leofeS96v0PrVadmtesTYdOn6Ti06X2xGmOLGw/dpRWHNgjmwV8tQOFiKaN6cDBQwG3uxAdVNuqPPdXUeOW5xzLa6xKYFBeZzLIcfAl25ibSyFVS/h9dr1iFRxk7SumgR/PtuzBfoNRZdLQEeBg4qAu2uJnoBY9+sFCs4KwZWD+AGN2cIcoigmrR03rXmNfHfAzQq/YxxGWOAUQyOAoxb6fSm9E9gHKAgiQY7F59yHauPsgzdtaqlhiH7s8PwMo3JMUS8lxLahO9VIDXt2HG21LlyNhD1/bcw7wcPvLpK8tFAX7w82uN4656BLw7OAA/W64vQuNuLW7a1Iy6D6vP/OlIyEY25ZHA7jozEbIwBFdPSMQMHoXfbuevv5irckLl/0jafSpFzkPQqO6BEDw5ZdrtYYHEBLtAABAAElEQVSFl1EhY8sr5B+37jxIMPzzmC5y+mxp9En6+HnFtYtjI6lVVCi1bBEa0Phyo00g9+Due3o5vLI6cIB5IXrw0ITrHOdIBw7QH8pUI+7q531NGPytWZhGc6Yu1FKMME5ZGqRIH3/9fs8IgVteii5nwg1M2ulW8ErbFaIwfx0owPfhxbeWOHj7fqhDAgQg+5yxY78WAAR73nDfiGSDFmChIwsGQDY6UHMDNrIdnBA3DWtPNc9VuZfl9leIIcycmeYKENT++N6qLSam5PORoyfpyOESA3fTpr1qF+37QIAeUZy3Pl5tuT4APW+9MMISxbE7Z3AeZ7xwswm07KAAz8X3H7rOcJzpQIFa5dhOH8KB2KnAduUh9PECBcgZmJ6dSdO257jShAAEhoRHUM+mzahZzVqmfYGx/TR7XoJfStL/mvKexZ7xs6+K6lNRBnxFjVtR5+F8xq0EBudz9s5jW3zJqk981PgRP99rgDHSU4u/p4+zt5ij3hHbml4YUKKDbE9eQicVHOBG9fCXi00NZRnkPjZk7+qR6KAWwXiHHKhO/Ue2lVfcEKuxtzOhubvX5xDTc4rZ+N/Gibh2NSEZx/4qUQq/ScUAAws259GSbUUWKpB9XPkMQz6GAVJk3ZpUjd/XZapQiEYx6Cyfi12HfzI2A+1oK3uAVKqRjKe+orDcjZ1aa+lGOLfjP1qkpW2pkqbo9+5Xay2VpfFwepy9mL3al9DF3MDBc48PNh/a9iRJzFNn+NoTktEPXuXb7+vtScGBZ3YPA7xtmQWUlZ7noBlhHL8N+QMx7ZpTu6TWnp5pjOcFCDDv+8dzXkWvGMeuvYwVGCeB5EBxzjdsLqKlTD3amFNSgdyxk3JYAKDQv0dL6t450hUkwGBduGATffxximOPbsowbtdZFyVyU4PCzlBULvn6JM8oDvohWTh9eSadPXVWmx+APm4NCcXh0U2oaURDimoTYdCQ3Ppi+eI5qfTZa/MdeSmIdjzyHFPkFFlbHXUIY9gpZ/bIG/qAN//444Msnm58L2Z+k+FIMA5EHUINmGXpO2l+6g7af8zdQYL9lkeDzGaPhDDq0yEyIEgAyFmessMR+ZB5ACD07hpFUQxkvRp+c6tXbaclS3IcVD2v7YJZh3ta69YNXXMZkOvxwRcpligBxsfvTL1f4r478Z2FtH57Ka3W7pQJFhSohUbhyLuVcwNFOARzGB0fTc8P6Y23RrPnFmIhnIFTBg1wRApAF3o74wdXqpDde1/ekqZCV1pauMs1qgBgcClFDEJ6PFZyosvx/+FVr14yx1iOh6UdqhIYaE9LxS8EMPj/xo01djSmZSwBHCBEOOrLmWa+AVYGAw7Q304rwjLwHl8Z0UsbPcB68P1Tt+52pfigT3m0htdcSe1YESme6TmtORrhJuup7isYMIBcgXZNQfupRyHs0Xfz6qvju70HdzRrzyHKLDpIaYUHXYEC9nlrpxiHXjXG/YaB1/Oz11h2gXPw/K29qVXTeuZyezgbK9TqyDBInv37fIuRCg/Ykw/3p7ZxJZKiOuMGKh3j/jLQ4lmGTOMzj3zh8LzXbVCDbmU6j87QNid67g2MSeQK/HLmNxKqkPQ5e/pX422VapdTWGR9qlL1cqpVtwbVqnM1NQqrG9DIxMYw6NYsy9ZGCLAeFJDkoe0dHnCs80qQtBt66K82UCzWbSx0GBZqH3kPY6MqXwM0O33o7C//oII9pfQBP+AikAGG62uvtYB9w4C97bYkR9I08jAmPTaNDu0/jm5mc4sSIXrwxZvs/d9bSovARvDCX39nb+o2INFidJsDat6AboQ6CMgfOHum5PuAbk04/+AK/j5I88obkD7y6jW/8a/e7pC01VGH8B2f9OotFvUhXcI3wKNdmcotSuCVvLt+y276Pm1nwKrxoK8k4LfCzpc6V1ejOue89NHhJfcIyGhKKzzwI53l+8Gm3APkRjmSvniFwduLE9f7dYwkGU9dL+9hVE+fu57WpOdrI2JQMbouOd6838h2uleAhL1Mh9q6bT/lZO91UPh02+iW4bvduUsLasVRNrfke9luId8vPpqR5pi7vYI8QMEDL8+l7Tw/aXYa5/mAAp0DT40U4Bk/du63tHzPXtm98QrlobGdO5q5hViIvu9v+IFe35xh6SsfYDfcEptA4awkdCFbVvEBQ+ko/cA+EyhUAoMLeQUqfl+VwKDiz7F2DyowQAcvcDA8ogVNTu5v3DR03ojrosJZHq2PKX0GlYRHZq9w8OxBL7q9cyx14aIrVf7839p5lSdIQKQhgv+CAQKqQb6QIwMix6qbLABPv+imlMBAILZxPddj0m0b7DLMa1FWHn2Qmq2dE+bySJ92jnMLatGz05ZbJE2xbyQm386KKVdwJAPNrlaEZX34gf7E6NKiafZEOvRRH3w6OgTC7jfc0I5uGNER3Y0GT/zsL1bTV5+tlUXmK4ynzuzF7tE3zmJAmR0q6A3AwMZ1ubSMveNqkTJ1d6B/jLi9uyOhVrzqOm+lm+Es44J2kM5gwM0gkn4wjMIb1/ZNA5Lt5FWlI3kBBXifu7ZvRkP6xZoRIRkDrzpDFssBAu+9t7fFw+12nRFtuf7WLlpwhURenVIU9oFoTx+uY5DYJdo3SMB2ZW1IVs9I3ULfz05zRAgwJihPYx4ZagGb+B69/re5jsR0O50KxuuHH67k81nK7caYdhqemxca12nig/0cnnQYnt+uyvGMDggQQLX4Vs3qmfcA7D/YhmhEEYOFnF0HKXPnAYvBax/LTyQBTggoGM2al+kwsjEeHBLdOjSjDolhvkCCzAG0OLRtDBbcWpMmtegKpgRezmDGTRJW3RZzBZifPX+ThTaEPgDu94/uZrk+AGpTpqdYoja4FqIKh2tnj/Sq9CE4qSZ8vdKSU6BGCnSgQI3qI5fw5q/mWqRIQR16b/BAU4kQcwed572MNJrHycR2ZSFQhe6Pb0eDIqODpglh7IpoAAqD27a9ZLzpsK0qIwbnd6UrgcH5nb8yb40vb9zLz1HmsSPmGAgJzhh2s/HZHjlA5cNPr7/OCDPq+IuQQHuHFYukvDqoRX+du1LLvwfFZhRTYUZ1bB3Qq761qNjIFTjMKj55B47RGb4Z21tV9nS1qF/itYhFJICNZD/RAIyDeWbvKabVnDjs5ZmXfQoYGBTfQkvjkX4V9Yr5rmXg9fqyDG0UQZeHgAfOZ+yRVSslY37IrVAlY+EZfPT1+RbeMTx+rz0y2PT2zfo2wyE7qIbKYSTbK4FiXzCQ72PKkOp5czOi0B+tokECohd7Cg97ggHMww0QwIvulQDpViQMycMrUnfSwhVbtcYP9llWAwjb+mlC4fACJLiuw7mWhF0txu0aY786qpRblMgNIIDD/8nrLHU78wfXQ5Hk8+iEcErkAnSXV7nMta/fFRKJ2pqZ75DNVcfQ5UDguzz7s9WOxHRsZ6cOIbH7q68yzKR99AGAVhP3xUCeOj0Nqy1NFyXAb3fJup0WWqC6EX7HQ7u2pOt6xpocdnV9eb0HUFjHgGrh2h2+QILXfGB0fzJrncPolrnKb6Q1JxZHR4Rqgaz0La9XXBfQ/Nwie5gTEqhHDm1n7hJ5HW/OSrFQh7ByGMs733dDFwOYwSE24fNlFhqsCgq+ZwWtZ+alWpxCAgogEPLy0lT6dHNpIjqex5OTe5gKgvYcQuwf1KGpw68zi5oCEExOXamlDAEQTOzQlUbGtMGmrq3g56O06+cjnFx8kk7/83fa9tNhs++Kg+65eAk1mdr8p8so+poQqvbff6YW19ShqpAtDWlobu/1BvZMJZXI6wz9e62rBAYX6Xrhh7Q6J4f+soxVC2zg4O99BhneADs4wFRFwgzg4I4Z8y1qRVivix48N3+t1ohFf2guD4mP0FJhsL4imigIrWeajqro4LavYMEA1CAgVZq59wCd5pv29sMlYWNIlqoKEbI/3MTj6tU2PrYM4XwK/tyiTi1qVuca86YtfdVXRGa+SMtx5HVIHzw47u6ZaIIv3cMHfdWCc3iIvfDxMsdDHRJ6twxsazzEYFROePE7i1GLB6JKLXKj1LgZjtM/XunwsspxyCsSfcOa16Um4XWpMauN2AtCST/dK4zTY0dO0u6CQ5STWeQaFZBtYbQm9YrWRgjgNV+2bIs2qRjbg4t81109qWbNksR+LPPyLmK9NKjKdIQ31Id0o2xzPq9i6MzhytN2HXx1XB3VyCu52n6d3ZJwsQ83gIDk89kfLqHU7zdrPfbq/BBNCKl/DTVlquAVVS+jxkyxqxlylWtkAdEA5K0cPfQzFbKnO5BqFfaFgnuj7h5gKcjmBQgAbB/jisOivuWWzA3QPOnZ4aaX2o2WYo8SAPAv57okM5ZkWbzQ6nmBklBypygzZ0hdp3uPMRFldGsqBdGtjyz3CxLgNR/YJcpIXNYpHPml2OH8tGnVgAAUmjSsaUn0lTmV5VWibYVM/1ErF9vHQlTvsbFcdO8cFQvnctrCDfTZ4s32rqRKkr7DdWjsThsVFOjouQIK8Bx+7NtllueKWqcAz6K753xjoQdjMpO6JtE9nToY8wJlaEZOJj2bnmJ8tv8Dm2B8l54WmhH6AEhsPryXcn86YgAAL8PfPmYwnw1lo5r1TNCQUK8RNbu6NlVhACHtUgMGFQFSLqVjlPNeUa+VwKCizmyAceVLhpvCfQvnmlw9bIYf4jt9B1NSk3CyJyRjPfIOnujZg+hfRO+nZtAbaZuw2Gy4MU3s2dFSbh3G+IJNuTRt406zn/2NytGPbVTXvrpMn7HffH7Q5XFS73b+8wME4HUfCIoQ5wvENa5rGta6CeDGvItDvLlHWN6OAcDKIvdQtW77QMsENHRoXN8AC/ENQVkqof/Itggxz0jboj23EkEY0aG1QXVyix5grEcGd6BbWQve7YGGB/hTd/QxEgphUNrl+DCG+nB0o0ugH3TxR43qZDGeYWQFovNgW7WhaFqVanpv8eGDxx0cd3Vb+3sBA+26RDokNr3oQhgHHt+kri2cxxSAO41t3TzzWCcNRtZRTrBXOd6yTsf1xrWqyl5itHoMUELYWAF1pDZzyHXGF/qBtjJvSTalsF578RF9kiqML2jOI2FZmhdAsIMkL0Nazr+OrpWZto0y1mz1BRJkXuXxiqTimLbNHTkOgYCOmpju9juw0+xggOrUhuxeaPw+QReaxoDpFOeT2Jvw+odxdMBNIQiR2ILinyifhQ5yWbBBrZ5uH0/3GdHGaKZpIlLbjCmidVjm2As0CEjwAjHYj4CE3ix+IDRH2b+AWDdvvfRTX/Hbqlv7SkPCV6R7Zb1I+GJcRPGkQQEMDSpgXrQ79JGohT1BGrUJ3pub7rg+OL5HbuxqRGAhof0Yq2rZz73ch0EffWDaYsczS6oagzo0YdEqS5Jx2FVX0sc3DjaKl6UWFNLY+Qsd1KEvbxhGcfVLhDxSdxfQ0ynLHLKjQhm6MSbBAgjOchQgZe8u+jovmyoKCOC8+mnh1a6imGvqUhRHGV4YMvKSihhUAgM/V9C9TyUwcD83FboGwKDxS3+he1p3pFHRbenpFYvpk+3Zln3+lUOHd7ftZFREtJdJB7XozcHJxg0GeQePfLPEET3ATeqejvE0sHWkacwG4sqrE4BRC1UfNCT1oiGxV9dg/J9h77wUEwumlgD246deALwv+WyE5zEISN9zgLKKj1puyrp5VcSynk0bUN+IMGrTKNRSvdLr3OIYH+MchBs6lGi7wzD4Oyus2B9KanKyjlqE43lgeAca2iPGeHDDuzll6irHYap0BxiOOh1/bATPcp8+rR3Jq2UBCY5J+FgAYBGT0NQ1pwFyrChslJqSZ6F+yNDw9uqqrsLL6aUqBAN7xOA21I4jA+JhlDFhRG1hznY2/xUzF11VL5E+5/sKT3KLhrUMsKDjmQfKfZD5q4pGiKToCrhhrnYg6AUQ0B+c/J4cpdLVQFApP5t/yA0YTcB4fptI2EbHh1NUTJiFogQwsJFVsdazuk/KslLahoxtj3wImLTThtBfBUxuhb/QD5EaqR0SCBDA6BzZJ446xDSxGNXYbgv/3iHwUBYQgHn4bfB0J7J6HMCCm8ADopJQSVqVWega6cD+8B3tGh9GrZuFOgCOgIQtfG/ZtHW/K5D1O+9g++G62PMccJ7dIjgAa6raG4Qh3lrAwIFBiTSArbfvHWQALF2eHiLX7982wHBU2alDGEOi9fQHLrBnq02A9b0bN6L3hnHx0T/9yfD2P7FskcUhiD46yhAiA2v25tHSPbm+wIBqsGNMNHj5vdoZrmWQx5EHoR/tPX2cCk6f8NrEsu6PL35SCQwsZ+Tf+0MlMLhI1w/A4H8mjjH2PrxJFL3YfQgt3Lmdxq1ZaplRr/qN6d2Bw+jwqVM0bsFiR0gSickTOXoQcmU1msrRg+dWrrNsjw/wet/fqQ3d2DbWBAhYDt7kqh1F2jwErK/I5ic6AcADOtAOjgRsOXTMAXy85iee/gbVr6RQlilNaFTioZFtqnLyNUrSYx9oh06y3OrJEi9tMKAD4KtLkwZ0S/tYEyQgD2F2+hZtojIeLs8M7mJSt3QPKMwHhXQePFc1+aVPVziUTZBI+Ne7+hieLxg2T740z/Fwhjftzhs70cA+sRjSSFx1MxzhPUXV0kGD2liiCNgOBtleVrnZnrOHinZxBCi3OKhIAMZAA7WjWUQ9ahXfhBqHhZgUj5K1Jf9hzEmVUzcwgJ4ANEOHJlpyJvzkDsCguLZ/nIXmAIMiPWe3AQQ2sqFzISQl1WPGexhhOh16McDcqEbize7JURYBOF4AAQbxtUMSzSTlQAABxnZ8uzBqnxRFiVzQTlcvQoACVKqKuGbJmVO/Uv7WfQEBA+hH4ZENjCJ5KI7nploFhaGMtTspdcU2h5oWzl0wgABAUtSpcG4/1BQpw5hq5C0QIABX3R4dAB0ohws6rskpdMgWY3w/DRRDtGAkoO3jwtEQycX1ULxSBxQEJHybst3hXVfHwv0mkSlCnWObahOmEe3axrUZEE3IKzrquBepY5XlPSIPbjVAAOQ/X5BBK9iJoIvgqDRMXJfX56Y6rgnO9ct3JtOZf/yTXl30g+OZiOfVGzcPMJ7DduoQjufvyd2NCL0uSoD1r/XtTaPaxBtKQ260ITtlKJUjA99wZGDO7h0YQtsAJIaw/VC/6lWG8W+n+Gg3CmIhchbOcJQis3ivCRqyfix2JEVXAoMgTuq/QddKYHCRLpIKDDAFJP9M6T6Uve7/pFvnf2X54eHH/8XgG6gZy5LpPBFQNniA5c5uSohnbv1penvNevpmR4HjyGAsD4lqZjFipRMoP5t3F9Oy7UWO0Kn0KesrbqqoJdCC/5qFXK1NGgYlaNPeg7Tz8I+0jYGALhfAbf8wzlvXrUVRnB8AANCs9jUWAOS2XaDl9ghFIJpSQt3adEeHeOravImxfwCEKfyQ0dG3cE7u69XWkJBFSPuNb1JpSVahZUrwYD04qANd16W1oVr0ypdcVdlGXYBy0QMjkwx6ihc3Wugn4kXVKfjIzmE8BZIJFLAg2yCJ+Jezv8tHuqLKnw3jHwsaNamjNSilMyIaUCtJS8sLKG1o93zDuEN04HvWUHfj6MO7ntwz2lLRVcDAWlYlWsYGhd8GA16oQdgG9CBpoAmBbiQN1WyP8GfIS6KqrY5yJH3VV0lUtevQg+ryxdfprvQKgB61KJUuyVb2Y48U4Xq6FZGTbfCKCE+n7i2pZUxjLbBT+5b1PaRWt2/ZQ1s376bNGYVaMICxgwEE6C/J6PjOuCnv4LsiakN+AMFtg9qZ1DD8jtO27aZpK7M8CzpiLmjw7kO1Dd798HrXGFEGPwUlsZ+jLAaRzcADghDF/D2zRx5L9uD8LxGFLq2aOKhHUO35IbvI1cBWR/OKJkg/fF9RHbyIJXBFvhcUOTeaHEBuCwYA0mJbcjFArhwulCNZjlcAGlSM9kqyxhyfHNPHuD44Z58u2WCpYizjPT2im3GP/Sp9K73KohJ2JTwpXKZzvAl1CPTSF1euslQwxviqaMgirlY8Yc0yy7MdfSA68teufTjPrb4RSViwK4dm5G129dgLGOjVOIKSGjXHEJ7t8NmTdPhsYO9/SJWrKKRKdc+xZKUkOUt+w5qxEysjBnJy/gNeK4HBRbqIAAaxrz9NmT+WlhHHD/6lzskUH9KI7lkwx5KUjGmCWgTO4eb9B+ipZSuo4KS1HDpuQi/06WVIn8GofW9NhkUpQT1U3NCSWeb0pnax2gRbAAU0oQgV84PowIlSo0cdS95fyXSZCDb+q/JNshlXTIZXPowTeO0NcwMlaCNHA4LNC5BIgBfnX90f9nX4XPn3vKPHjGRkdb28D73ySqpbvZrxsSqHet3K0afu2m3MexEDr8ITeh64ALCx3doZ5xYUo6fmrNQmKSP5+7HkzkZ4GsnJL3+d6jAq4M16ZFgS1eHibLroAQzJscM60LXdY4wkW10RJhwYjB4BCPgMz/K69F0OyUasUxu8zGGcbAw5wZrsOfQjJahur74HCDh27BQV7T5KhQVHaNeuI1qKkLoN9t+xQ3NKbBtOlzNYQhOqzfzlTkqJbItE4t7doiyyipCF9QMGcE7bRTWgOFZbCatf06BS2DnXsp9gXmFswqiBvGT+vh8DghKdxKRozrsdO7zdt17fwZBqDAQEdVSslBU5tHzRpoDJ6DhuoYJFxzJ9hsFgIBBoP1cAAce48i2AJaJRXkBAtgXNCREMqbmBHAJU33WLMKlgEqpeOilOGKUP39nDyN0IBhCg77rte2jNlkIHsJf5yisKOrZpVt8AAV75ANI/2FfJW9iUf4DSOXKj0mR0Y8Hx0IHvLbpoAkACvqOB6EYYF78VqbwMoOxVL0E3D7/LQK1MY+ASaE5qBMcLEMh99Qo+D7r7M+S9J1/fkwHbf9O9M1kk5FBpbRLMWahDC7Zvp7+lrLXkEmC91CYAFeiFlBWetCH0eXfTGvok15kojbG8wADyDvKPH6Y8/tv5czHtP3ucVhzy7+zA+PbWq264sahjSBhV/e/LqEWNEAYN7sAB9kxF8Prt8/LzuaLmUlHj+jmmC92nEhj4OONnz57lB88MSk9PpyeffIrCw0t+ND42de2CL1nu7t300rqljpuBUIveZy1je3GTsCur0/PsXUBiMqonvp2xwXFDApfx4S6djPyDQAABE4SnO5q97ZEhNak5q/HEcYJteTVIueUf/cmgBAVD0ZH9g88PpaAInldzBhmg/9ibGP8b9x2gg6dO0n6mBO05cdIBnOzbBfqM82hQkficJzasTyHVOImUKVvSsN+UvCL6YN1mV5CA+T/UrYNxTgG23l2xQQsQpEI1/yCNitSvz0+X3ZivSIobxtEDGJbPfrjMQXlRE+tgPL763lKtd1kAgijvwLAKtmopdPPDwutQndruHqaz7IWG8Y92lqMJeXml0rzmQWnegNYUz1QhOxjwm5xrzx3w4wlVgYCOU41pwggEFeEIUxcg3ysNEr7w3EpT5XtlmZeMrxg8gXTo7Rx2nI+VTLHRGbrYr/06e1GM0F8AWFemxqCpnH4/Brux0bl/oI2FhNZQF1neB5uYDgAylOsWqHQm5J8sZ8lZey0C2ZEKCLykN+++qZMRTfqFI3ygpMxlwGxv+H7c0j/eqCaM5HF8D75OyfEsCgkaT6/YMIrjQmUdWjaxD0m4H0jV9dP83drJ4gzS1rBik9pAQWzIESlp9ZkeWY+XSTX3cL432mvTwCjewlGFzTzWUi5IGAgouEUTJHE5i6lCfqNrALT1alUz6HEo3AZw7ZV4L8eFext+Z4iyIdEf4DmXZYkD0fuwv8EMFiX3Sq7PV2maa8nzkUhsoCjBrA3ZHAlYZ8llg+MHUqTxjerR+EWLHcXKIEM6qU9PalarlmuBMqENgabjBQjAJLirdQfqypEBUQFCBGDNfs6h2reNsn46SD//8zc5fRfkNeHq0BJp06vrUb0qNQzQMLhNx0pgcEHO/oXZSSUwCHCes7Oy6JFHH6aiwhKax4IFiyg2Li7AVoFXAxg8+O2HNCQsnnZxyfM7V861bAQPwbs9hhH93/+i+5fOd4Qfh4VH0ISknrz+D9oQJgaDYXt9q1aUHB3F3MgSI/arrB0Oz4dlx+c+ACwgAgDPvDRIeCIa4NaQD4CGnIBTDAj2Hj/lajDrxhC+vhdAKTjGNCOOmOw8etQAAPYKkrpxy3MZbvqdGjWktg0bWIrSIFfhu+wdrhEaAIThsS0NXWvkdujqIKgKRqAK6LiwKr3oy0Ub6O05TgCBEPodQ9obnjs/9BNV0QO1AbazGsi6tF2ucqDleT5lLACNTp1aUDRXOY1kLrM0yRvIYqqRG1UI3l4UXVKPww8YwD5AxerC1aN7sQqL2mBYgCMO1Zjin06dF89bHRfXT9RkQtjQi+G6Hyp9RIwwL4oEjFRUsxVeu9CpdIWesG85P0Iz8lIxQn9ReOrVs5XlWoDrvy17NxXCs59upb1hu/JsABZxLBsbHdeEolo3Mova4fu5atU2+mFtHhUXWyOmsn+/gECoV//6rz8EBARicC7PzKMF63c4OOqyb1zf4R1bUr+2EeZ1lVotmUzVhPEfjDCDjOv3VXK3modc4yj6iO80qE6rsgsDUo/KK5oQaN74LtvpkYG2kfW6aJrX9cExjebCknCu5B/9mR7nIqC7FYCPcdUowRPfLXOo3OE+/tK1fWj+tu00KSVVpmK+igxpINpQSLVqroBAogO3tmpP4SwLipa6P5fzC7k+xd5tVHDmZ3N/wbwJr8rV56s6wfrJf/xGmT9bgWgw46LvH/86sxIYBHvSLuH+lcDA4+IsXrSI7rnnLurRsxedYtrOpk2ZVJ7A4H+eHWXsfVJ8P+pevyWNWTLDwStE9GBix/70bsYPDtUi3ECk6AmqKk5attKRnIwdgGI0PqkLdW0WVqKIwCBhekY2edFhPE5LuayC16Ub32S98gIAZvIZCGzYt5+2MxA4HxAAkKS2lrVrc72CP5sRBqw7+Rurnhzx59WWsZD83adZM/PcIkIyg71MMzdv14IigJ/HenQ0AMLHqzNdE5RRRbl/bHNyS04W9aI67Dn82yfLtMo5wQAEeJfBw1eTWCURePfuY5STs5cOHz7paozJ+fDzChBQJ6S6QU8CEGjEai5CEYKRu525yahGHEjtBJSZvuzdlsgHvI1QWwmUSClgQFWPAQ0DnO3MXQdcjT4/x1aWPgIWElhNBpEFoZnI8XhRJ3CNVZ18eMbdEpUxNzlnUDOSAnFuFBz0F5DQgasxRzHnW64T1qE2xfkmpGMciS5IjQwVCGC9HzCAeaLC90BOnmcVZ9ccAowXLCDANnNZxebTFSxPyt9PXQNNaGC7SDMyUJE5W7r9uy1DpKFTWKgh/axWvBcK1PlGEzDO1vxig3aEPJqKUPBSjw1Rs4TI+kbkRqRgERmZw9GbOes4gVpzfVRA4JZcXOqUaWXcv3UiHkgwbtO4nlYEBM+Xp3uxhPh/kSttaHK3PtS1abiWJYBjxPP8gdad6MZWbY3oQAFTg+YVbqYvdjErwEdUAPSfBuzBj2RPPqg/aM34VSINxoIA/7BPRDHwl3f8EB04c9wXNakSGAQ4sf9mqyuBgccFmzVrlrF25MiRdNttt9KqlSsqBBhgJwjPvZ40kr7NzaHXctIss4L82Bs9rjOiB8+y5rFaEA0dQS96vH0SJUdEG9KmL6eu1dJokKR8a0xr6tk83NRRPp+kX8skA3yAp0XyAnSFw1DPASAAdKD0ffu4cMsRB0XKaxc4tviQOiQGP6g/aKIX7bWtfZ3MBTkJB5mWBFDiZz52kACd61dXrXMFCK9f148TpWsaCkaTl2bYp2F4ryYO6sJ9rqa3uAiPLiwuPNlfOSn543nrtQ9mGI8jesdR+9ZNCBGE5Sk7yI2fjkl4KYBgveQJHD1akmNxhDniRxg0qA2Gv0ozAgBAU6MB+CxAYOsOLnbnERVAXzQAmK5spA7pF2uo8MDDDjAwnyUsvegGdjAghpEfbnjJnkv/g3JRjb2POspQaS8yqoQLxShYZRmoUiVxgqhQUIKtrBvoOgsQHNQ3lsCxDjbfxB7ZUY8bgAHNnpBuLDz3D6pUyEmQ4mPqOny/du85Slu27KOCfK7i6hIZwDZqEnUgapXkXiBPJhBlCBECePq9DE6A81t6xlHfhBZG4jDAAGrFLNxW5EhgVY9PfQ8PNSKzIgct+VlqH/X9YTaCD53L9crgApFodtqR2t/+Hvtrz9LT3aKaGMIHsr4s0QTkS3SKbuKoco/vqlCBDjPdrSySvyoVqQ5H1pqey/NR57tkA3vRGci7JV7j+gztGGVECAAIpq7c6CoE8cLwnrSLBTCeWbzacb9G9PzZ5G60np9L9igBnjtPdu1Cg6JbutKGHolvRzfHJtL8Xdn09pY0R/RfBQQwyKfvTAsYGYD3vwvz/3s1bGkY/25JwwUnmK52DlQc+uU4G/y/UvOrSgUT5HziNYRBRZ0rrlIXWd5LLoMKGrZyTgOiDZXAwHKq/u0/VAIDn5ewIoDBlZPHWDwBV3OSz0SOHrS4qh49vOobR/RgTEQ8PdGxL83I3qStkqiqGyCC8MbaNFcvO25o10Y0p17s7U4KD7OcBdBidnGtAFQNRkNugN8m8qDoD4UgkQW1b4/5wfAGJSh1DxsAtkRqe3/1M+g8rUJqU+g57j+4nNCGtjckdB0+fZoOcXn44nMJyNLnIH/ez/kIDXiMUM4dQGtRs7ZRBh7voQBlHxM0plX5hQZw8YpeyLkd2irarDPx5pp0R1ga+5EchLqQm/V4cD0xsDPP7U/0/JfLtR5tGJKj+7WlY/wgdgMIeNjePbS9QZuBQb5hc5GndxnzQxOgUIXD/lAJgSEJpZBgGww3zA8FjFDF9BADCzd6kDq27L9XUqSxXz90G2wP7yIqukqxJngWQaVAcqZdAUrdn7wX1Zi6bJh45QhI/0Cv2L+oyRxitaIMThDdxzQlrwZvZ1+W8hzA1BREEgBo3LTaZRw1ioDrDAWeRSu3uarBwIMuNCxEiVav3kbLlm7xlRMiuSZNm9amJo1rs/oUfzca1ZKpeL4it+XHY/ydUJLRN23a67kNVopqlkjr4ns1fe56V7ArxxcMIHBTsMH+ER0Y2S3WuB4obrhgcx4tYTBgp6Wgr9qE5oNaMG7CDGr/YN4DxBTwXKAsB8Dgl64E8YPEJqFcn6auKRQhoNlvNMEe8arNUYraLJTg1vD7VdW7pJ9X0nIw+RJq9EbAmk4ZDtGUV0b0YlGHKqSjDSGqjUKhzVlI46H5ixzPKEQJXk4eQJsP7dOqDUFq/KmuvWgXe+Gf+GFRQEDwbvYK+iR/g5wOxyuchyOasURzncYUfi4icOSXE6w4xIUk2eg/dPZnWn8kn/ae/ZGKzrpXz3YMrFlQ478vp9gaDaka2yRRNepT3SpXU90rSmhIsbWbOra4lBJzK2ouFTWu42ReAgsqgYHPi1ARwGBj3k4a/8NXDgUB3ACeb38tLS/Kc0QPDPpQYk9KCGmsDVnicHBDGh2XaCQow5j9InMTfZy9xfNIYWw3vKo6RTHFBt52N2PbcxDbSvG8o0bAQa7DgEhAsHQdGNndGzdynVcB52fs+pF1s9nQTz/A44MveSw4OpBt2paPOJdX8hyiGDQAOMTXa2AABhwb1KFW5OfTd7m7XKMbKo0LSkxeAAHc1SMnzromKN+SGEl390ykY2xUPv3FcodRiQc0+M3Du8Z4AgTweod2bWmG44XHv5ATOU+f1VMlLCfl3AcY7FWZ3y8thIFHHf5Dg+F/hpOP0c7wmH4AgNH53D94dzuzCpEUIIOxgloDgRSFBAx0jGlKSBIVMDA/fYerZ1H2i+gL6DyQjmzNRriqQiSGlySLYht7wqiMI6+i0oXP4gm2J4niuFD8Kou9rIgupDFYcGuSzCr8deRRfJ+20zUh1J4wCyWnbxZt1iakY58SRRA6GQz3HdsP+FKu0s0ZBnwIR47QzpeGJmCgR49oA3gADGQwsPWSqQ2WMoRr7AUIBHzD6EWe0Lebdnp66+Gd79OyqVEU0l5JHs4X3BelYjvOkZ+CjaAiNqpR8huDKEM1Nl4l98suGgHQkn/4Z6NWTSonINtlOLFPtbnRjoKJJqjj4ftanyt+1+NXgGv8rqpwdERtyK85woAZvwO1oSr0Yb7PBfpNyDZCF+qbGGGAEhQo+yItR3t9hDY0IL65q3Lf6Phouo9V5abxs/O1DKuxjmfSe4MHGonfbmpDoA1B5W5S2vcW5UHMV40QQEb0ix1proBAwEC3BpGGlCi8/6kHtzPlNZ8W7M+i4xwBuBhNgEN9Bgyh/Pdc/9GVOQYX40JU0D4rgYHPE1sRwCDhgwepXwOuYPvHajRu/beOmSD3IKF2mDZ6ALWCSZ36G/SiN9evdUihYTBQjO6NY94tU4xQlXhNQQHNztnqm0ePGyDoOWhC0TE+uPyD4Y92PopA8MJgX0juBThRVYCyig8YIGAnA4Gtxw6XKwAwJu7zHyIz/cNaUEJoQ0N7Gpst2raDljFImJObpx0F5xI0rpsT2nCtiTP03PdrtEngeCBB5hQAQZccJw+1ER1aUzp7v//2Fdc2YC+vvYkR4xVBwDZiSItXHSABhYpy2CDMZCpHMEDBPodgPgMIiG55VIuSULdEBlI2F2opUjK+PQkRhgxoBis4ydLLIw9jQuQaO7ZsbAIBeBkh07tx90Haz8mJWZyAXN4N3mMAB3hrkyIbG3K12Id4awNRnBDNGNwhyqBy/IFJ9YHoVKBS9e8UadDJxMO+Jj3f9fpC6rUjJ/9K/gbmBhWgrUz3gtKUH88+tilrk0hE61YNjRwURCH8gAEkWo8ckmDkyqAmzNyV2Z4qQ6AM4fvy4eIMLSgTgxMJq//6wx9ocVYefbw22zU6ADAwrE2k5ZoiV2rz3mLawJHXtbv5/LnIHJf1XKnbATi41XQBUEjZucd3rRod7UiALKo4+4l4qXMr7/f4DfRg1SfQmQyAwffVRXx9vtq4U3t95N6ZHB9B73IE99PNTqlj0Iae6d/NiDKPX7bc4fABXfTJ3j3oy+yNDsVAHB9oQ0OjWtGbmau1hckQ9b+vTTc6zB7+N7KXO5yCGAM0oYGNuCZJZCcDDCAqsLBoAy3Zn0Obj5c8Y9EvmBbP3v/qHAXQtfKIMPzfifMrgYHu5P6bLvuPBgZQFAqmhTOtpkqVKtpNygoMEH5ya//14mBjFX60j8UOofe3pjpuFBI9yDiwlyZtXOkYyrzRMGXGDSBgI8ij3RKbQOFMkcGDCiBh6a58V6qRY0cVsEAoQe0aNKTmzLVXawdIJGDDwf3nDQJgyFf/02XGEajUITkkoRXh84oDe2Sxr1d4f4awQlTPpkzJYglZRBJSmG704YaNrgDsjtjWdF+nToax4JaD8DBXqr43qR2tzd1Lz8xLdXj78JB7jBOUkzlB2Ssx0i9AwMHaefhYBq46qD9HmO5xmP/yCo+6GpPoH6jBcEMRo3CmnTRtxBKGNasZevvYDkaHJDIGku4UZZ5+HSMN9SW/kQEYeqDmqPx9SRQFBSMYvnagYw1mveqtjWtc1wAKfo8JkY67BrQzqC2IIsxenuUKpACiIOuI4mlXcJ0RP3QyRIa6tAun9m2aWihkomBVxJVukWNSVrCAaEB4M5a/5VoZ9mR0P2AA51miHciZ2M3eZjc6nURRggEE4KfPXLeFZrLBqfO649rdwNG85LgWxnWDAEEK1zu5EEDAz3dM1N7assIcJDbhbEF0JHtPMa3esZvSCg9qDWn72DraEb6jRcU/+op42ccL9rMK5KWKM45jLUcHvKI3uD4Qc+gS0chILH4nbZNFfhTzUGlDOhEPqRFE/+tf9DTn+RUyDVVtQhtavTdXm0fQK7QpPd2xH535P7+6AgJQiR+I5lpFkR3p7P/5jVIObKWvC9f7AgNNq1xDrWqwmAfTfprXCKWq//sy0lF+1Dnr3iMigbwENJWedJIjE16gpBIY6M7mv++y/2hg4GWU6y6Zl+JQWYGBbj9YhrkJMMBnhObGxwyikMtr0X2pMy25B1iP6MGgpm1o/JrvaMXBIiyyNL8AQbzd3dmQBUhAA90IiVfg+5+v+o9lUuc+qDQlKSSmJgUblCOmBGUe3Ec7OBqwZv8eBx9TN64sQ2QkplaISfepysY65OBCqpaE3KVfMK8yJ9CUTv/jd4OmlMVRip/5vVsTkHBtZCsjkoA8im+3bnOlcakAYcKiVdqH1f0MEAbHtKRFm3NdFYyeGdyF4hrV9QUQ/HiXcXyi/tEptqm2YBEAAxoqm+LPrcHwxx9aLaYV1OQ/aYgIFLFWOQopBQIC2EbAQGeeExKp/RrOdgqOahQFkyiKOcCLqiaLYhmaUIVUqlHJGqJclqg8xaAnGNAhNJSuHE1AkUAc69KNufTtuh2uURAc530D2xOiH7/89k/6hr3lXgpNahTBL50MwC6hdUMK4/wNt6q0yFPYy1Qyr+aWi4Dv1W7WrvcTsRIZ1mv7xxmABcXrZi3Lou2afauAAAXJpq/K0lLL1HMIScvpTEeZt9V5v8WxIepza6cY6hzRmA3tEjCwPLdAW3Vedy7gnW7AqmKizKb2UWlBcOQgyigN0d+8czlgKBAZrCw09tuxSX1K5ByweK5Zg6q9KMKYytEERMmCpR3pqtlD5QsNSl/2Oh9eifiS2I9thYKE/B5EBITap87V7dpge1yfoRy9CQQIcI/tERFGn2du1N6rUajsuphoejNjLc0tyMXQZsM9H7ShqlwE7em0xY68QAiHPN9pgJFT4hUheDyOFYuYLpR6cBt9w2Bg1RHrfswd8hvYCkl1WlAvZhvEM6PAnjB87NcTdIwjEmjHfj1OR37xJ2/atDrnjzGgQKvF+QS1LtcnIktew6ajBXSagcSO40ypHf1SZcTAOHP/Gf/+o4HBhx9ODeoqDRo4iGUUQ7TbVAQw6PXpE44bQI86EfRkwnB6M2sFzdm71TIXhBjf6DKCaUH/1N6E0FkAAt6/xwXS5vGNzM2YhUGdxBx6eLuFO4/t0AAWzrD3W/IDTv/+uwEaStY6/wvVyOC81i4BHG55CudDCQKwacUgIJL5/s35D2Xk1WYoJ/x81FiU9xNX1WVD/jQrPWz76bDarSQXgatO48bdqFpJUlWDqtWpftWSm2GLa+pQs6vrOMAF5r6qaBelcQTHK5cB5/bGqBijUjUe5NC91hWjw6QAEO7nCML8nJ2k82aJxGnX5k1pyqIfXJU17uvV1lAw8oogqImTkMME1WIFU0QCaYkjobXa5X+mZg1rElRC6rCBD7lAeVhbTq7tAyIB2JcolfgtWoRh4OFO5LoGAgaEauOlJY/tdGAAnsVVO4pcDT1sJw2GeUuu4p3ACi4hzCm35wZIv2BfAUqQJAqqUh4DBj/eWrtHWqhSXvKMkmsCPjwM5kVpO1yjCDCakXNyXc9YIy8DkqfrWC521bp8X4cHb30LTj4GWEADYECzA0GADyRDS0MkCi2b62agbcwpeTU+uPwTMNABNCeuP4Hvg1cytiTcQ5oWgODdheu1wEoAQW9WGPLip2NayPW5sVNrIzqwcAsXmsot1AoLqIegeu0DFWpUt7O/d7unoh8U5nbxd0vyFlYWBT6f2A4VfNtzNKFri6YmdbMsUTQY4pH8m2nBf/jN2PMqsK+yNMwFakz4vaznqJ4XtQ+R1FF8fUZ1bG0UfIN0tO6eighBidMlkua53JtBa4UE6aZD++nF9BTHcxRR+NviEujZdd87nHWSR9CzaQv6bPtabQ4BnucABMlhcbR4dyZNyVngmjSMiMCABnEsa97KjAQAAGz/sdAw/AtPHuBoxG+08Zg7oCjLucc2ibUijE1jazYzXlvVDKcrOLrR+MpSNgQcnZWVj43T8x/x7z8aGJTnFaoIYJC3hwuWFG2kl/mGoCYRBYoeDG/Uih7iG8pKTk52kz+7NaIN3RTdjsuZ/5kW5m6j97MyHOFP+/lRPe/gz5+v1x1GtCgCITF4z+kTAeegzkmAiw4ECACA8V985qRh+OsiKep4ZX2PMDBAQ+Q1IVwlupFZdMagDe1mOlZRvsOTJPuSKMLYdp2MazE9c7MWICAH4QH2TA1h2TsABJ2ONhSMnurX1VBOemrOSq0HGg9nPwAB9JNR3WNNOUwYj4ESe+WY3F4BHqQVs9qMl3yo9NO9Ypw2EfUJCcQAHwIGAvHu7WAAY8PIA10iUGRAPPRQjLGDAKneLUpdqkqXV8IojEFJFBW1Ll2iKDygWXsOUSYbPYHmCTpHj6imRo0LHJ9XQSesV4EgIjSBogiqohG2hwc/PbPIl5Qs+ldEs4MB7COQfCsiXiP7xFEgQAAP9U094giAwK3wIPYn/HTk9sDZgDow0zZtc0T50BdN6rTYDW4jEslOF7VKu5fCWclo+v8wXNE6NGxovOqqs4sc9XrOb1jDQOE4Oym8Gr6zyQwUEE1Iat7E6CoRNhRo86O+pI6P8xbDIBuAoRq/lyYRNnx2i7IFk9+D38UQzh1A9AYRlgUuThbsT2iamzmi+9SyFQ61IaENQY7YTR78jT6DDZ3/F5nea3e8ofbQBKYNrTmwg17cvMQR/RdA0LVBhJFI7AYIYAcMYjBwU0Q3Cr+qxAjfcGg7bf2xgFKKs+jgL+enPIRzcb4tonpDfq5dTrNvrIwYnO+5vJS2rwQGPq9GRQCDmHdGUkKtFnRzVDKN++ELB4cP0YOJCdfTW1nLHdEDlY84YytXwNXoI+PQcJO6rXV7igtpSODtz9u5NaC3W3dKwKFE03H0sRyGP1qwxr+x0bl/2EfLWqyKxKCkWU1OPFaoQAUcBdj18xHKKN5Da4t3O0K26jgV/R7Gfvd6TaldvcYmUIA0akoRJ3fvyHGNJEieB47LCyC83Kc3xTeo76mYMb5vEnuef3ZVMFIBgpenFLxde6VWGF2g92zKPeDqZS6vcwxvdbuoBhQXEUphrFWuShamb99NSHLU1W+Q/UvOgMh5YjmSLGekbfFtZAunH9sCBGxmxRhQNQAA/HpdsW2wTfUiC/cbY/iRwITBNTC6qeG5BtUI1I3FnHDtdq7EIy5J1n6jCDHNQw3aFuYlErdFe3+kAq4z4MfDj+2CbSJPixyUaP5eCP3Mb8E3VP0GoPSKnKl5GV6AQPjpKDYII3va+mxt0iqOEWBgSFQz6sm0FDGqYaRCvSxj/76gZZmDPW/SX0QjABgiOHqrijioQOGbHQWyifZVwE3viHAzNwEdBcgi+raVE/MDybRqBz/PhbguKNzWnesxAAygQenp8/WbXalcIuxwloHd8ytWOfLrTOdM65auycV/7dCVuoeF0/PrljiiBKYgyB/+L03KmO+oJqwCgll5qfTezhUWh6CcEjz3b4vsTl1CW9IvHAUAGEgrzqFVDAaCaWK0Y5uQK66mOpdf7dj8yK8/cyJ0KdXo0C8/lglw7H7k0ko+bpr4qONYz3dB0cbXLpmoyPkeS6DtK4FBoDN0bn1FAIMmr5ckH4decQ1NSLiN1h8uoBdy5ltmBK/Bm51upyp/vIIeXjvbUQ4dN5vn2w2heNY29gIIoMw8ntiDujZqblRCFEN2aeGuoBNuLRMs4weVEtQmtIGZ74DhJBqQWbyX1h3aQ1k/Fju8MoF2q1KEOtYteXBgG+QfgCaktkMccSjmWgdoQjsKZp/Y10AGYIjQwOjHufWicQEAPdSeC5dxjocbQIDX6s3BySWqU6ygYTdQJRR+d1I7T0+nAASE9eFddqNS4NhVpRvRIRcaUCHnAoAKBLBwhoup6XjcGMOrgdZRr1Y1IxqgK1oEHv0W5iQH0k8XMKAmEPsxpjE38bhLFVjhhiNRdBvztTMPldDQvI6jotapQKEre2vB/Zbjckt8xVzUayy5CG5VeuXcXc+StuBtI4oQSNFIwFsXpu6o1aKxb9CDkBOAPBORqPUjTwv6Ef5E4lZyUUSRCmOj+QEDmF8vVl0axlSo2ldXLRdAoJ7TVE4k/pQNTvtvsGSGRDA4VTAguUXB1meR8fCK339jlo9G81Nc0ejo8Q95Xp0aNbQUtxQQvJKpUH7UknTfT+xS6HGooYB8mooAC4joNWAwEMGRB8m7wb4BvFLyiuiDdZtd1Z4EEKD/u2lp2jwCqA1N7NmD8tkBdf/S+Y7nDe7ZL/VJpgW7chwiIEIbQsXi93NW0mvbUrArS0OO4N0xPQzK0FMbZ7sCggdaDzCoQtt/LKLl+zJozcEsOs0Jy24NtkPdK2oSaD512PivdXkNaly9rpkr4Ladn+WSqyB5CgIi8k6wWp1tTpXAwM8Z/ffpUwkMPK7VkcOHacHCBUaPmTNnUFFhId0+egyFhoZSvbr1aEAyG25lbODkCTCQIe6OGsz1CVrR+HXTHNGDazmk+EKHm2jGznR6m2889hLpKIf+cGxvowqiF0DAvhBFuK5FLCUxSJAmKkC5nGy7/djRcgMLoAM1ZsO5Q/2GRh2AulxMTJKeZd8wpDcf3mtEA7ZyLkAmc//9NqH5IDcgoV4jzguoHVQJeK/9CEABXWknz8tPpAJeo7tadzAAGOsb0oycTHpnc4bjQYP9CkAIqXKl6wMLdAGjiA7LHeoSlPGwfm5Ad8ND6eX5VA2dQPQTzE1oOXHh9Uy6EZbbG6ILXg05CPDe6hq48kWsIAMg4Ef6ELSYbq3DDNoHxpMkxLmsJ+/FO8axlyQhNjZ4x2JMgF4RyGuqzhtUrivZWEeyqFCC1PXNal9j5OWoiaJYr1KQgkkUBff7uliugHyO0gFa1DxOQndLuITxdHvnWAvNyC3JFvMSICiVewPVRcA2aJKYjmhCq2bWeg8lPcr+H0BgSz7zyFkyN2PHfs/cFzV/AMYpahAszeJ8GSWPQWYi6lxSg+D1ZRlaT7f6O/GqXC7AfFAM68uzyg++U8gjmpGzxUFNkTmor/hdIy8rtDrnZ5zz6tsLKqr91fdCR5L8r4OskLOfK7T7BRDwjKM2TB9W4UNkUiShJZrwVdYOXwBZl8SszhOgFvlwAAzFLPt74FzFZrWP/b1a+6MuJ2brchUwz3lMFVq3myWVXYA8rs8tbVjys12ssQs3QADANKlPTwrhmgNPLFvkeO7B6H+n72AjuVhXdBTPn5e7XUsLija5Ppdf7nwDfycOMqD4SptDcFtYJ7q3dX+Dajq/IJUW713n6bUH579zvdYUzVx/lecv57Lg5yL69X9+owOnSnJ4fuWow77T7vVRsB2SjhtUK6GC1r8ylC7/42V0GS8LrVaaRyDjyyvAi4CG8b0vrToGlREDuUple60EBh7nrYAlPf/2txe0PVq2bEl/+ctj2nV+FgIYPLP4XZqev9zSHeG/5zreTfMLNziiB0hAmtLxNsMzMHnDAge9CAMh/2BCW1Y3qlKdFuVvoQ+3pLsa2gb/nUHCUAYJoBrpGgADkpDBq81j0ODVqvFNFAnBaLrKwbItaEGZh0qAQM5Ph3zTguCZ71KviYPrL+PKa9aREsnRzCO7jUXrDhfKKs/XjlxiXlpCnSYGyKrCORpqU0GMF1CQcwvNauR5pHAuwivrU7U5FqAYIQcBXFu3EPeTXbvQIP7OIZnOK/8gnGVf/QIE8S57Kd3IsYN6ISohKFSE6qbwOPtt2BdkDVG4KHMXe+f3H9MacPbxBAwIBQYGYCB5QowBI1nVk4d3FImifo0egIAOnJCJ6t0h1auaxpN9fmX9DOMGiaKIVMzbke/J/Qb4GxXfksQIFUDkpqev0l8wv0A0I/SB4SwRGKkfsXDtDl+RIUkQD+GEdElMx5gqLQyfpQmYPMJFyo5wESsko5/+9XfayWpCgZLgsa8eCWFmcT58r/wWJUMSq642COalAgJQUh75ZonWA41r8ViPYOjccwAAQABJREFUjiQRHdQv8ZImxthuhjjW2RvuL6jWrmt2oQVdHwCUfM5hyOWq8qgr4wcswDju36I59WgWZkpGq5G0QN9PmYcKFOrybwb3ovJouB4A1zsPMyAI8FvBHO7oEE/JrSMMsOYGCHBNQNlMjo6iqRvStM4b1CS4t21nen9zimuh0W6Nm9PdKz930IZA9X03aRTV5Qjy5My5DpERnBcBBFAVmrlzKc3KX+HwxMv561Evjvo0ak8tazY1owG/scGff7zIAAD72fDfe2o/G+rln3fQ+MqGdPn/vpwirm7Gr5dR/WqhBmAAcJBWmXwsZ+I/47USGFyk6yg/JPAHX9j4meWGUI1/hE8l3k41LquhjR48GNmb7m7Vl28KR7SayGr+AQzbrMP76Nu8bPokd7Pn0cL7Ec0JtomcYKtT5PHcWLMSD7l8zguAx30He9z3njnhClI0mxPmAxoQqD/xdRs6IgGGR/84RxgYAOz4mXnx/FdwppQvqRsz2GU4l3HXhFL01fUookZdpmw1MUCXjINjnL4tgxbu3uEKcB6NYY9QmyRj/os4EVwHEAAk7ucH0d1tOxGoCA/NX+TwPEr0APuevCRF6+2WxDrQUPwCBIwnxqMfzz362xuAg735Nf7V7RCpaMdjxbOXX8AA1sOoW7Ap1zNvAAZxP+bdQ5GkDhsmaKCBgCqhK2ZkdDj3T5RZ2jQK1Ro0uCZQl4LBtYNlfU+xSpc0nfEFY6v6ZaWgEt7hSP5DNVRVqlfGEG9toCgGaBHXxkaRyFniGrtpuNsBAmhhS5lONm1lllaZB3PB+R/aMYqkgiy2kYrTgTz4cizl/SoRCtRekOiTfF91ORWSN4MK4IgQ4Lvz7ooNnsn6oNrhGrzAvysdZQhAcThHb2BwwmPvRgGUY8f1HxHTihLYI6/WZ8F6UWU7yPRFRGcDySDLmOor7hdxrM4mVdnFKaMDD1CYW8W1Vb7P2+VaW0XGBoUpqXFD6sXRhKTwUkeJ+v30k8Qs48FQRxQAIBtNF2mTviLDis8HObrgl9onFKdb2scav138Vj/buElbbFLyCG5KiKd8dno9vGy+w1kDmutfu7IEKdf5GLf6W8czCxH3F7sPoZT9O+mJ9d85ovePci2Ce2N60qy8FIdzD8eGHIIXO95syIyu3pdJn+xYoI0QwEnYv3F76tEw0QQDx387QTlHttIPB9bTnlMleX0Y82K0WpdfQzUvr2kAhnu7X1oRg4pQSBKb7WKc6wu9z0pgcKHP+Ln94Ut2x8wH2dCMoW6Nk2hS+kcOqbGbmvWmwWFd6cvcFHprpzWyINEDFDFJ3Z9LT2fMcxjFAhAGhcWfK6f+O6Xs3UXLd+dqqzLqTgWMczRVylPX7wAb/fuZq49WFnUgPOjsCb32/SASkMdAIIMjABUBAuz7c/uMonOd64ZRYp2mlMTKEtJS+dyu2JOrBWA4vgdadyLwUAHW3AACqFdQvMAD/oO0dJqUkirDG694sCF6MKpNvJFsp6ugjDD6xJ4daWTbkjC6F0CA8XhHl1gawMWZqvCDEA0Unxzm+q/JKdRWgzU6ldM/FQhI0SIZGp5xFJbyUkIRecJB8S0MvX9sC68pVElmbt6u9fqiD86RPVEUy9GwPRJGUcl69Z69juqnJb3O7z8MsBiuKt6eK3zbjUfx1s7J3q41UrFnGEP3dIynga0jjVwEL+MX1xgFuKCoI9dYDGs36g32AbA3qH2USd3CMjUx3Y+HH9sE2wQI2KlKok7lRo8CIBjdK55QpRgUNnx/XmV5Xx31So0Q4Hq/tyZDCx4BCB7q1sEAYujnJTuMazqwRXOjurnQc3DsfiWOgz1Pbv1BUQR1U63MLn0BavDdXsHf7e9yd3l+t3GvuTaiOaEAZVeOJqhUp7ICBZnH+b4CcPSLDKPuLLEqkQkAgjfWpjmSirEvFRDg88trV9In27Px1myqc2bqplRtLsG7PYYZTqqJP3ztiNiDzgva0Fnm3+vowChk+jRLkeOZDRrO5MzPtYBgcONOXPW4v1lH4ODpQyzusYE2HcnyHREQL3/Ny66mazRJx+ZBK29+4kTkH38rcazt+Ck42dNV915ayceVwEC5sGV4WwkMynDSymMTAIMe75ckH+NH/EDC3bR0zwaaumO+ZXh4DcYn3kInf/+NRq95z5G0hOjBjRFdqQqH9WbsXEeTWB5N18Y0a0v3xfYyvd3wdK/Zm0ez87IcHhHd9uW9DFz8VhydgLJPfEgjiwIR9oVowGYDCBwiUIFWHPJW0LDPD0nZjarWoAZVanBtgpI6BfWqXEV1+U9tZ3g/ecdLcxoQeTjJRVuC2R/oW9eFJ5ggAXN3y/NQAYJXDsIwrqY8IamnQS8at2Cxw9Mn0QMYIOBCu+UfvH5dP4t32Y1bjXMCffZBbSIs+uMwxgAU1EJFB5gCsu+nU+pp9PUehls0y0MmNK9P9qJFMoDQZALlDajyhLItzoOXMS1gQPW4Y1sYfKBfbNi3nxayV7XgpLWqqYxfka9uRhjmFkga8xkGgTcyCESUyAsgqJKbAhACGds4ZvHA92sb4aCPSU4AaEF5+0qKmvkFDCJvC2naKvzdgCoVIgL22hiBQIwOEExduVFb7wMUs4mDuhjfcQAwN2oegJf8dnAN3CgpOD93cB0S1cMO4xvUQVRt96ojg229GpwE9gq7Xv3d1gEoiNqbrl7Nd1tZ9WbvPsc9xj4eEnSRl2AHCehX0UBBaEoRdWpZFJKwby9AALB2b7tEGsQy0AA2cMhMWLPMkfNl3m/53u0VJcAzSVeAdEr7oTQqsgN9tHWpI0og8uMjWiQZgOCLnXw/19QbAF3onphhBiAATWjL0e20bPcqz8jAFcwuaMT2A2g+AACh1ep55gXgfAXTkK/w82/HCaABdCWoJOlAQyUwCOasXvp9K4HBRbpGKjDAFPADn9BhnFF4y+5JALXokdgRlBjSkp5Kn07f7bfKluHG80LiCBrQJIEOnz1J72av0BZUwX4AEIaGt6E4VjFSG+hGUAEC5Wd1Md8MOKegPBoM4bia9QyKUgRTgupyPQDXfAaOBmTyjXd2/kYHZ9NrLvDUCNWneY0QCue/8mg4l4fPMv3pHFVpNYMTe9K3uh+Ro0PBGrRAAAHeJySAA6RNTl3pqIWAc/fF4BvM6IG9QJoaPYCR835qBr2RtkmdkvEeXs+Xru1j8uQRQfjsh2zXhF0dJccxKC+AwaY25EgghwANhr80tWqpLJNX0UhHrYFAxb4kuVYUhTCGGHde0QHhHQsvXPadWlBIn2zM1HoYpY/6KvQg0Y2HFCT02L1aHlOPTvO1Af1o34mTAY0vjCUg4T4ueieeZ4kifJy+WZtwCdCDgk0qQAD1atrGnY7p6QACOoGvPyclh9wKp6GPJCx3im5i0HSwzK0BdBz9+YxJ/3Hrp1sOqdosTmxfkV3oCkIRbUKlZ9QgQMN3aXb6Fpq8NMMxpJ1W5QWmkUOgUobsUTsZHIBAvUb4HXupkcl2eBVVtlAWY4BnvyobrXZRBrW/+h4RCDSpyo5q8aC2rThQklul9rW/xz1lCDsdpDq7uh4AaA3n1S3dxbVZOFLm1YQq1S083PyO2vsjNwAJ0sWcGL2DFb9O8e9Amr3+B4CY1PyQBH8Uy2zOQEBoc7ItXjFXr2RvAILxSV2MHAL0R67cCykrHOcI4Ot5pg0lNQk3cvLuXDkX3c2G8zUxsSeNim5Lr25c5FAcQvR4SpcbDIfbLcvfdIiGqLShj7Z858gpxI6QTHxr5AAjfwCfV+9JpW92LWAjXK9GBApPmzpx1PyacGpduyU2Cdj2nnDPs6tTtR79mZONg2mIYgAwIMEZgGHykL9eMlKesK0qIwbBXE1n30pg4DwnF2QJvrwPznnCgr4BDh5OGEt1WQlgSuZ0h27xOAYHg8KSaO3B7fRQ2meO6IEoF1VhXjyM2gWFXExLo2CEA4QxfT17ucWItR80HnIYw0g65hwBNICGk+xRUZudYoR8AEiCIuE2nBWCvJpEBTYe4UJve7c5qFC6bYXGA75/WUFAwYlDbLT/Zg4fwlEFe1l5c6XtTQGDl9XMLfWKYgAg3NMyia9VnEEbwnG+z6Hp13LSbKOVKESBr2rkgvADX8d5hXY2cg/wMBy/aLHjoY2H9JRBAwwuM/o88d0yLQVFzT/ARKAaEkjv357E6ziAMizAflN27qEMLui1hhWJvJobSBFAoKtqivFgKIsqiRjXWC788EDqMTAswLUGjaI5J1HaeeIYq6wNnO9DfJ38RCgQGRqTyNEoG9/bTU8fBpYYtpgfIjBu3nOsR5To7p6JZk4GlqHBMF+YsZOWZLkbFDDMe8WGUSDlqpIRvf8DlECqFkXs0vMOeCamq4nSGFUAwQep2XSCwYjaAIIe69OObujQyljs9vuwAyt4oXV5PkJJGcweaPlewVD/juvD2Kkp6jwABPqHtaDuXGXeLwBQt/f7HnPJPLjPqCsTCCjAKEZ19kGR0c6ILaIenJcAOt2c3DzP3eP+AynUa1u1LNffiX2nRiSG5/T11q2Oe6D0tQMCbANluGfTU6SL+SrJxYgkvJq+zHF/FsUhgDYddUhyCQ7/ctxBHVKddZD9fGbdVMo9ac0JABvg/pjhJiBAhGDG9q+0dCEBAx3qt3WNCMD43318FxUdz6Pf/udXOnh6r3msft+EVmtEl/3xci7oV5NzHK/m12v4uxFKAA9eraKMca99uq2rqLlU1Lhux3Exl1cCg4t09uVLBu/AtO2zLbO4J3Y0tQtNYMM+laZkW9eBf3h366H0r38RTeWwpT33ADekT7uNNcumG15rphi5AQQYsTc2S6TuDSLLzdNuORjbB8kTWLpvW0C6jiT+Qi3ITSVIHf7ILycYzBynXScO0hk2/HccP8B1CX6j7OP7HCBK3U59j9yNRlVqUv0qV3MOQTNqdhVXwj1XdVLth/c4t0hA+7ogU3ssOLeoMSF5CABb725a48hBgFdKogcYFyoZ9gcZDIsPBg03HuAzN22mv6WsdfCDJ3VNons6dcAQRv6BTlkFBtDk5B6GR9ToyP9E6ccriiB9wc2uzzKC9Zi3jirBaEjSQ5EtexO5Qiw/zIafn8q+6AswgOJFdlqTMQ4b1F7UGrvEJ7ZBgzH+ReYmrYY51sOgcOP8Y71XM0C0oiQTbMVwGKtSBOvj7C3aXWF+KiUCnbyiROUFEGCwp23b7ZmwLBNGNKEaU4Ja1OdICr9CvaoKG+b2doRrJxxm+cq8A8eomClIW/eXUJDs/dTPEqkQaVVZ55Y/o4uKTE3N0Cp6IaEbBQNBxYIh+dLKVY7viQACJK0K1x5G+Jvr1zq80DI30FN6MxDo2qSZuY2ss7+KIwbLVWeM9LPXX4HqnFoAUvrZX/0CBdCNhke10s4V58RvXgK+p8izQKL9+QJq2S8A9HaOuHlFMQBO7mqbaEYIcB5w7DpHC471qa69DICGe/jYpbMteXFqlADOMbvqEJ5L03qNNqLuOied6qBDcvHr/AxXdf+FAdC9YYJxuZBQ/EnOlxYnoVzHrvU7Ucf67djJVpLrJ8vxmntsK+0+kc9AILdMIEAdy897gIYaDBjqVq3P9+jmBliQSIPYM37Gqeg+FTWXihq3os9HWcavBAZlOWvlsI36Jcs4mEkfZH9qGVXAgU61SCRNa11+FcH7rUt0EuUiRA/QxIh9JWuZq2ceN7zuHEloZxjijc8bKAgI2Mm8/a38l/mzt3cY84QxPbBRtCOxF+vsLftokQECMo7k09bj+7Ua0fZtyvIZYCupTgtqx0Cha/1W2ugCjvWN7OVagCBJaXiYo0GuVcdjHRMRT0907GtED1J3FzgK7eCBNblbH0qOiPYVPcC+ZrG86Ysr1znkMEGveaZ/N0eY3k/CL8Yt74acgcQmoZQU2djhvca+YDy7JYhivRQxEi8ulqFBTtLLwwiP/PWtWlkMCmND5R8MFCiYwBML2kbOscO+ud+4ZlCPQcXwSJbyhZyvl5Qv9gXFG7eIhs5A9To3avIsDgnXd1FWHum861jvFkHAOuH6l1W5CmME0wQMxDAtzS6Ni5oOz81fq61FgGMYl9zZTLQGpUWXpI/fwKtD+5jJq6CWjZ2/0AG4wa2fnNzfNO5hxIMypIsQ4HpDXezGmASzv/2YQduU2ijB1m1RxzK+Wz5pmtgO362FzLH3qs6OflKh3S2ygfO0giMJfgu4wWhvyMXaohgsSEtsaFUx27ivhB4lNRn2MO0uUK4Pfgu3xrR2RCpwnBNXLNJSMydy9HVkTBtjGrgOt3w/3UKbxTn9bsgdRrQb0eFrF79noY8iYj2z/z3GPXo2Vy8ez8XK1AYJ0mc73Ggs0lGHkEcwLuEmQ2UIeQSr2DE4d5c1rxAbJ4bE0YioYWyIW3PijpzhApCH1tPGg6lGVEDd98V4D6AAwDAh+bkKoe+U5ZhU26os27ttU1Hjuu3vYi6vBAYX6ezjS/bYnHupTd1O1KFhN9KBA3gLbou5kZOPDtHLG6dZQpHwOrzVbZxR4AS0GLfowfiYQYSkJ7V5GbFqP7zHjbD6ny4jeO11ybvSHzx8eOe3MQDI+umg5WYqfdxekbzrF4zAQ7Nq/xb6vNBJy3Ebv7yXQ11iTGQPSuKS9QK8ZB/wMLnleEj1S+mrU75AUvaU7kONBxMecPctnOvwSOLB/XyvAcYwfqIH8Cy/vDTVVXVFzT+QueHVj0So2j+Y96AotW8aSgkcdegcYc13UcdBUqMbbQbRDygLje3GFac5CVttAAQvp67VGhcwKKC2ovLD1W3xHpzkadmZlMq87fJIALWPDxpHEnsue7JHGfxmXfMCNTgGUaeSbXGuvOQ21evsRb/BeKpqj4yvvlaEchWSiDuwEhKK2KlStep+vZKr7aDGLaKC742q2oXf2di53zo80vB+v9Cnl4XG5aZ5j+v5ePskA7Sr85X3qCnzNUtGl0WxTcbw8wrDFupuvZtEmFXuddvh+z2P6U8LC/Ncv98SRYAjwq0hEuc3edltjGCXA6gNaxVtuS4yxqycTfRiOhcAteXIIXrzYq9kE6zp7r2gDr3Xd4Rh9C8qzKI7U2fKsMYr8vOeaDvQWP/X9BmOZ9DLnOeHZy0SdMelvGl5XmMAoQLjPTj6b2W+76ANQYhkVNRwS4Tgdy5WllWcQWv3LaPjv/2IzV1beI1IpiI3pCZXNeMCZZcb/RpdFebaX1ac5HyBk78fp984r+HwmRKQdohfQUcKtE+MMWvMkkpgICfzP+C1EhhcpIsIYDDyk37G3kdG30WxdduyJ7mI3sh8z5J0NKz5YEpu1te42djzDlRwgIHgQdcpF6kJUOrhwoidvjONfjhU6Mubr257Pu8lT8Au9+k2Jo5rXlEGLeCk6+P/1Cdkybbw7sey4V6Nox9RNepzrsNl1PyqUGM1KEF2Q162ExoSPoOK5CcKgX2NjexFI/lhYB8X4GtSxnzHecWxT+15m6kOhejBmCUzLDUQVK8V5oOH3bg1S/HWbOqDDh5jXe4BkiOf6NnDfBh6GY5uHnfZIQzJAs4NyGeForxDPxpVTAPlB8i2oAY1vLqaoWfeI6opxTWuq40KSH+8wsv75pp0ba6EnQ+ubgdDRVckDn10dBx1W3iCU4oK6P2sDFdjSe1fXu9hVN4b144GsgEmNBV1bFxfN1UcRDye7tXDwu12O3d2gxj7OF+AgDFEuUqSz89w5WHQhES9SihG6Ks2qFOF8HejTo2qRkTArkak9vXKlQCIeWJgZwudDd/1x75d5kjUBtVsQr+uJpDE92X01984AOSj7drS2M4dzesBQ/ovyxZQ5rGSfCuZmxcgwPdpwa4centLmsNQle3tryji2KhaiYqafR0+n/zHb0GpyMHY7ds4ggY1Z6lazvvSNUQnVxblayMg6I9jRC6CVxQE/fA9RfLyeqb+5Bw+4jin6BNsAwCOZ1lfJPwjyqCrAYIxva6PyD/Lvp9aM89B55zECcZ3c60ZNB0oUJ06dlCg0nd1oMD+nNY5AZFfeF3zQVyR2urEA11o9raPXKMDAAJRteIYDNQnPwBAzkGwr8hfOMFSpgALh07vo4LjVlGDSmAQ7Bm9tPtXAoOLdH1UYIAp3B77EEXUamV4EianT7GAA6EVoR8qJKqSprjpoBha27ol6gSIHsziEOcLOdbwJG5eb3a6nbqwl1vXQDWCFBsSgcsTKMAQbsXFwSL5rwWrBdnVkHRzwTIY6jNyU2gxg4Gisz+5dSN476MZACAfIL52mJbm47qxjxWYR/4JpkEdKXCdiwCEO7nonL3N3JlOL7KErKpmBMrWdwPGmlQtnPuX1i21PKwADqb1v8lUcMKDb8yCry0GK/IOZgy72TRedNEDhPGnDr/ONIQwPxT9embxaofGv5fBbT8u3WcBD1gXzjkHIomp6+u2zEty1Gt+8Pq+98M6ei1jg2NoGM/2BF61E7jIn2dvdFAP1D54L7KPEUwHqluNOd7VqrnyvA3O+Lm8A6jHSDGrQAmhiAbpFGOwfy+A8Frf3kZtC/ST9v+z995hVhTbu/D6496fxyOCIiI55yAMOQ85DjlKVjAAigKigmCCI0pSQUCiZMk5JxlyzjlnEBEB9Ry93/3jq3cP1bt6dVV37z17z4znTj/PTFdXV62qru7dvd4VsZYjNu903GeYF41r1yRgUy/b4t4ho7QpnC2Y7y5VSrpqdyStSO7dAIEaelQdUxdxCM/Ot60aUmzBPFZTaGTeX7/BZjqE34t05JcNdSEu8fs0mQwB7I/d/6NrrhgZrrmICNmMgA2mSG1yDnwfeL6EYEdGkvNKHon5dilchjoWF9o1kY1Xt+E3BFMjN2Ass7SbaHC6cOJGZKIbDx8GMjHz8/AbwJojGWAgWdtjcyNE/MoitIBeTv+Y84S92+mrg3s4aULQBhXM+HnP6kDBZJHBWAbp4KAA358vK3cO+KHpQAEiDn1S6VUrQZnOpxCWAW2LthAS/mBkIEjwF5743sGA4yJhvlMtZz0qkrGEWDcziHQsSIQrYNZ0+7cbAbDwRq3eqRqDCK9vcpJLBQbJtPoABq/MaGlJAhAJoEe5DwIOPVAzcnDQp1wvKzQZHJo+3Wf3Sfi43CsknZlwSWBoB+6c5UjFbtIe6JYBUu9bIlznTfGH+P5XfrtvScDhC4A8AeomcwbAUTgQlSjEsKEANfHCVGjqqc2OsG/qOHDuqpOjpNaUR20XjTJ8Omaf/tGhRsZYcFz+pFxbB/jCB6nn5hk2/wOAgy8qNrc+OOg/9/he6rd9FYrWNrl2K6ExKhE4xkeww6JZNqml6pSMRmAeX1+42BYWE1K3WW1bOaRtOgYKNMBEmUx0cD7SG+aMhGSmCEPckZaPrwNEaANA8E61Ko7rlv29nEelJL9MthwRjSQDkAewMPnQXtu9lPPCHiDki3pxWibOpBXB9Y5v1cICipKezulWxyjL9iaHXpyXYT/VkLGyXyT38CFYdvC0NjmZnEPDmIK2IU0mc9ASfN6sng0IDd+0xQEioWEb2qihRRO/N10iLNO90TGeFjFRQMbcloViAiGK1fpIlTH+wVtXA0kWl4lM7NycRo6DeXQtUdEVjECLMO3QPocZo6SBNXilVDmjGZxsF6097g2iDX0rAAG/Tt39AZB6fd1cm7ZFNdvEPDko4AIcHSiYWfftgLZYBwoQKKRvmQR/A9CffmQObb0eNIGFlqBTsXaBQCM4L7ctF1dT/JV1Fm8g68tljaUqOWt5RgiS7dX9zYdn1UNHOcNT2ekJwYOEu4GfiUaI0HDmE625RItuONcY7T6pwCDaK2ygj4ds+/FtNH7fMKsFwEGfSp8GpAAcHMhQpjI6gQ4c8BcRCOsSrqAeTlI9SjSMuIQdtEPdVl/aLxjZc1pmW9KCZKZNvopG51/ZLqn2AF4Tjq7Rzhnga0DZVo5oRro42KqKGnOHLTKPpc3BAXesgzRwSRshtcqQMXD5+GgOWLXGEWZQjVok1wnMFJI8mZhy7rwq+0ViD5OX6bsP0uKT57XkvACBW0jJL+vVNToUuwECrCXivHeOKWutp3ZyEaoESIAvgykRFiS071er7WD2MbwOEAEEjm/a2GF/7WZaw5lmeWluAAFt4DAO0zDOoMv+oe69HN956FGVvun6RsbVtDKAoz1+Gzp/gilNm9ieFzCSb6xYaANueDZU51V1fNis60yG/EjqVTqRLLtlYsc4YIxfK1HJEjzoxsY6uOVmAHhuLMKwdhS/F79aBN04futMYA39sdYyOINKT+dkjGuf2/Rly7wqmqAATsbfH51N+24H8w/he468RdlEaHK5QQK/4MS0gF2/rMMezr1NCr3ky1Totz9/odM/7aC7v1+hv/7vH2J/MbBX6ZnKT/yvpyhjmrxCcyOii/3jecr6TCHyCxhSEtMcrblEgu7hQ4fos88+pQMH9gduQ958+cTxEKpWzW5CZrpHSVWfCgySaqXZOPIhO3xrL/1wfJJ1Fi+B3hUHB44R1/irfeOscygMjR1svUyQVn3AzvG2UGgdC9SlV0s0t/WBlPv1Hyc4THK8zItsRKJwAEAw6sgKx7zkUJDANxLaAWR29ptnQPZV91gnSHQuPghGRTr887lAk6eF+jbfM9kp7zPZAureYs87w8KptHgZAOGL/Yu0Sed0plv8AwR6MmumpO0FDtBu8MbVNptgfBR3d3vLxkB+t2MX8eRMXCoqx4TUHlF/lp0854hghDbwQehcMcaK4CL7hboHEFl59BR9t/Ogw8RF0jKFHJXnsQdT3HfdBrUqUOa24WoDN6bCzVZcpRGtMuaGbLnDd8fbzMUwHu6tTHTHx4f2QJcZmzO6sp9Oe8Cj88i2cu/m8Is2Jgm+7O+1B/0fRYK7uSIZG89DgL660KMqTYCCFlPm255bgMopHZo6ntcmU753aNOWde5gM1nBvag4daxNEo3nY2qTNg6wCCn9wC3LHGZDuGdfVI1zZbrVa4hmGcy9m6+D6nRrmgfWJNJmRqaxTPUA9F2Wz7fdF9nWBKBh1lVt/reyWWAPjYnMHYMKRB+qtnSU1YZrCnj0IQippKYAnfrHj7FlMuYCuhG7x9hCkcLBuFvJztZ3HDQACibs+8KmJYCgMDZXfZH7ohGauG6XfjlMh28IB+AHx1zbhXMyX4aKlC9DGcr9XIxRqyD5mXDoR7pPtOaSWLoABU2axFGZMmWpT9++9HSapy2QMHzEKHrppZcivRRh00sFBmEvXeI6qg/Z6rOLhOpwrUWwWaGOgUhFqOCOSnipfFztA6stIhYN2jmBbvwRtMMfXrmX5XNgNRQFEyM+qGRT0tnHq30jWTbNQ44BbUatHCUcJjnyvNceCWX23DomwkqecySJ8+qL89meykDVRVi5pvmrB9LT++kDB+kh+xc6TKCW1XvXyikh6ejC4M2r083Kd4B2+KA1XzbF+giC0ZBh9CSdEds22WxroUKf0SqoukY7SNU7zV9ks6PWaQ4kTalBMGUSBsMVJ0wzmpUUeS9E4i+/G5g3RBcyAQ+YtugSkunoD1q9xhFnHmY03AlX7auTAON8cgMCdY6ybIqsIhPdyXbqXgcCTfdZJ13H+i/p3tb1noKBn73jiNa8R84FvggVRLQp5Lgw+ZnAn+Hw5ZuEbNcrj1/UggHQA60WZYq4aiR0oEBnOgR6/LmBbfvcTu1tYBoMMDfXUx39QUduAAXtl39vM0/BOTiydnixvCWNlu397mHCiQ2R3hA8Ab5Z2AqIvcmBONDAxz8IHSYd3eWYM94vai4VN1JeZkZg0iOpcYOPx8KTxxxmTZgz/Dx0Cdowf/4ORZ3qZIxj3MMK8/9l+YBxUADBT4OVQ62gFxCmbW8xNGA+hP481xAHBavOrbOFI8X3+72Kb9v8CRB1aFj8ezZQAKfi1sVedvUh+EskMTt6cyOdvLNFZJX+CdNx3dL94wWhCUgIGftItPfThxM0gQSVn+F9kvo4WnNJDN3ff/+dKleqSPfv/0IrVqyimFKlAsui1u8XYaozZU74rSf1mvHxUoEBX5EkOuYP2eT9oyxHI9WkCNPhDksyUpGcKqTh7VYPsjQHcEieWneQlqk1OSdDOv9akdoUl6ec9dKT9COxxwt25UWhHbmwU6shgPlNS2EqpAsB6md8gIHl57fS1puHbCDJT1+3NnAea5Cros1/w609ly7hQ7KgXj+HWREHB/yDhDG4tAvq7xWte9iG58nQdMwjmJ32s+baJKUmibJK3OS8KtsAJFTLk4OyiYRn2MrmCsYmP3vnLp26/TNde/BQG1lI0oC0unul0raEa/Ic3+uuw+Q/ofaFuU6LBTMtkIVziQEEYCbOCeAmE1E9EsfHRVZwdaucJXcgA3ggE7iPLOBqX5RxrbqMrWC6ZKha3kcHAk33WWeP7+Z3oI4lHZWXHDjlmbla7eenDO1Ae5GHoH3lEp6Rq3SggJsOyTG5hglAcmYHp4Suy6I5NgbUtN46UIDf58T67UMyqQEIWHL+AF0TiRk33tKb1MlrkHu8K5Bvpm7OYlRdJKYMByzAvOaTHWscAKFvSWFiKqLz+KEJsI0oXp/vcoYHxVzxG4OZUbMiLzo0LTjvtsnnf87JIw4NGvqpWYt1dHB/Gi4Yb4v2pppkyj6d1060rTsX0LyzdbJNG7yp8WDrXY5vTrcNQ63vLvILfVcnKLRDlMF/7RophxKhxfWgYNL+kTbzIRml0OqoKQAQ7LoyT2smBACQL0P5gDlQhjQ5KO0TGUQSyuc0VIJVMEF69Nc9uvf7NXr0588BUyQv7UOxTLWpcKaqlDVdQeL8TJBy0peiNZfE0F29ahW98cZrAW3B0mX2wDAffTSYvp82lV5+pVvArCjpV8w5YiowcK5JktTwhwxRCD7f1t8a+8UXylLHkm9Yx1wdqZoUoRHMZXptDb6E8JIaVf1tKxqCRehxwRTaFIysKQQnp+HnGHkHllzYbXu5qv0ACN4q0cghVVfbuJXha7H2ikj4cve0WzMCg49Nmg6pjWFWdOuPn10BBcBWE+FM1r5IfeOaSprQiPTcEXQON4EDMAWNVgdNxRDBSSbPkbS4QzI+3P0r1ZOnA/umc6bYbKF/aNrW4RQIk5NmM+fYNAfz27Z22KLbCIsDafoz/9BJR+hH3jaU41BNk3RhJXURZPgcIG18bZ39RWwyO+B91WMwQQdvX6ENl047zEbUdqYywlA2FiYMblFhdH115hMmZhX9dffZBA7QXmdaNFFE74krkfB7QRu3zcvMyK2veg4RhloJ7YApwZ3aFmWYvtX9dqbNfOidKmWofz2nrS4ScrWdv9AiodMU4CQ3zzOtsw4UqMkJrYEMBfRfIeLkf3ci3phs0tBVW40EivVzFqcaAiTIJIrahprKEbvW0+gjQYdYNMGz+nWtlq7OySopycTrHIFlOwkS0gopf9a06QJRvXBOJvvDc37r0QO6+UhEL7p+lQ6JJILcqRjtQYeHH0W9uunuzyhh1tW+eHm1GU08spk+ERHj5Na3eHXqXy5OHhK+XZ22BN/PXLPOTYim1x0cyCsEAvAr+Hjb51aeAvgUjKw11KEp4KAADsatinW25sAL936/TvEXZ2lNhrI/8yIVzRRLhV6ozLuFdQyNBJyWL907KMLB7taCEBAGEPmo5UK6cOWC0dQorAmE2YnzVmGScXRLDN2RI0fQN19/RW+/04fefTfI52EQCRrgb7B16zbHuMlRkQoMkmPVxZh4yObGj6Q8GUoHEDemgWgE6y4ssWYkQ5iiAmnTB8cPtcKYcpMitOGhTLkEA23Uzc2B1sTMqv3dyqaMzLJPYgGBLumbpI09zIFKZyxElbOUIPgNPKWEglPb8TLo7r55jFZf2akFCjwmNe8vj3XgQFVBy3YIZ9pvd/Ce848T2vVeN8/GjK5u3t320QbTWnfWZOtDChX7hk6vOiSXoTKNco5yL6MHmcyMZDvTHhqGNyqXpsYlhJRTmK743XTzhsRXF4FHpakDBTqNitpHV9YlQ9K181unA3dufaHx4DH0ITHtL5ySdZtuvdxAIDRDry9aYyMVCjhAR2kedPb2Pdpz8YYvTYJ0XvaT10KdHMBqx++FY/CtoPkEgOaQZnXVZoEyntnak6dagBgaJu5TgIY8VwgPBawSbrJwgk3SDlAwtEYztYmxDB+jD3YvtUxXTA3VqG+IBnf+t19MTa16aBLGidCasTn8gTrZEdqDdzaLXA6PfpVVgb1Owm5rwA4kQDBJ+VnzkA5DiYLUecV0WyI53f3RCWVWNHvHmhM061WXDLJMiOBXsCQuqA3gwT9eL9o0IDSSBBacXEprLgV9oNSogrLNohMzad/NeHlIXqAAfgQrTnxptZcFSO7L52zuqRWQ7cPdY3yAhBN3NjlIjOqwjU5dOB71OTgG1lSAtypUqJfmTOKqzpwZF3bkpa5du9DmTRtp8Ecf02uvvW6biPQ9QGVKieyUCgxstyjpDvDw9ptTjfCjrl2wuzXwmN1DLLUi1xpwkyKuNQARLsXgYUytgZSCCSAAHHQU9v6hOP9CEzH26GpHmFQMFw49ZZpWEcx77x9HWSpceQJgoFGuylQx64uW5EaeC2e/99YJWi+0EZuFeZK6YZxJdQZ6gg0ODrjESdIctH0hTT23Vx7SobaDbJI/SMAqzBplMf5wnhsjMnSqGyRucQtmWFUmBhix27svX2G1A6O0962eNjtr66RLAWYcW85cDLQ4efuusFf9ix7+5y+LWUM0oxzPpKMimZ+ngpkyUoEXkNfAPxhQh+YOoyYHarWPDizpIpaofXgZ695TgDJTtlqYjiAreHERiz6tMBeC2dBvos9NIfk8KUyLHojyoZ9vWvdNpR+q2QmYLm77vqpNFyqVNWi+pdLn4ADJ3ba/2UNtYisjt8WbAhzcF/cRG8yKdvd7Nex7BhrQJpi2mFxZTKc867tMX2gzTzOBAhDifgVruojcINmda1Zt2reWyYobKOCBAXRMp+kC+O9ctoOmsF2BcgFfgsxpnrX99mUbuQdDixDSG66eoC3C9EjNjyLbqHH3ZZ3XHs86d6KGgGFjmzcdAgYvWjgPMIvMyjuuX7FpM/30lW0wPiKE9axQxfcc/N6f3ptn0sIrCY66AFR72n5oM5/iJqGqCRHm98bGL6zMxlwAB21Bj3V95WVQwzx1qU1Re0AQbiEAn4JXy/az+vACTH1mH3zPJrWHhiA2byfKkMb5PPP+kTyGJuGyAAmHbqwJRD0CbQCDlMLUpmRg8N13k6hRXFArhbVTgcHpM+coTZo0qE7WLRUYJNPyS2CAEGE9Kk+1ZqFGKYKvwae1xlrnUPh02xd0+eHVQB0So3QtaXc2xYnPdk22mFkwsXMaDgm09/pnAgjoB4fgZnkrGE1+wASb8g9I/4FGecp6TcHzvA4UwEyoVf6aWodrT4I+GsCWdNOVvbbEcrWEc/JHInGN16baqAIY6bQGAcZfcYDjUYowBkIPtlsz2xruUKd3HR9L1RkZKvdtr7xptVcLsEVvOCNIyw+jrfZPyjJ3qtUl8tLNR7UVB4OhhnPVted1ABZ1FnxrY+oDjIoAZXVEJtnYXAV5F+MxaM0+vodWitjyqlQW9LhDuZGIOAFw0HDOZIuB1Tmbq/35fXYzKUI/gL3qwjxHbh/Vrkyvx1aQhyli/4MIrfvuqi3WXNxAAdar/NjxlrbA5IzNQXV8p9eMNvHVZo+27qEOoFsTYwVutoLT3QqUpy5Fq1iJDlkXX4fx107TRgESlgkmVwUJ4YADDMjfMzq/Jl8TUxrh+YcvwimRu+PawweBMzpTIQCynOmepaIigWAh8Vc6a46QBRbq/UG0pZlNuiozSSjifZt/1iCrXrdWLVZ9YQWS6F2kLvUrE2Ts8T1ovXqg1X9c9XcDWmlZwQOGTKg/2mZChHZqwBEkLHun0sf0j//1pCTh2M89+KHFhONkjXzdqETWOo52SV0BwHLk5npqH/vu/xPAwG193YCR1BiojseSlgoMdOdlu6TcpwKDpFxtZSwJDFDVpNj7lEeEAsOGCAUfbQ4ydKo5Ec6rWgPYLY6rHwyzhvPYuL+BH61BQs+E/1zSrZ6DSvUZweDK7fD9q5a6VdbJPRya+5VsQpEABKCpAwVchSvHjsZ+9IE5tPzyDot0v5h21CSf06bZaiAKAFvlFwc/In60BjAj2NZmgEomUC42VUTP+OvPQFlnM4sPcOkpQSCp8zWQRDnDffitXrbsyLJdcu65GQjMh3QOo3yOnNEzaU94P3kMxoFHmwlVwi9pqXuTVDYUcMDNo9zuMcbuPOcHQnZZbF5aA7QZsT6evt5xAMXAduBdYZImMtCmhA0mRBVHTba0GtBKzeja2jg19Rl304ypvgVgTpd36K6lyaXROnCu68jNVvD7nlq7a6IAAR+HBzPAeR3Dy/vpjrlfE4/ko+sTbh1+q9hMmq9Q6PL7w00uJS01ZLROWwAz2Norg8I0ri1QIxHBtHRlM/s3WE1kVi5zKepZxi5A4lGI6udr4RqSdN/V5cLR+Ac5faqU6yUql7OpdZwSCuBn3BjjpJxjStYY6MKSqsAgVWOQlE9KChxLBQZu5kSxuRpQo4KtrCuAr0HfTUFGU2e7iMaqSVEoWgM5EBhaRBEaf2qjkfGXbfk+0oAA9HWgIFTAw+cZ6rEuuyWXFuloqhkzTVoDHkt7daNeVCpTbhu5QT8uo6mnDwbqTJI8VVKOMItj4lraaMgDLk1tXbgQjW0ZlIrJdsm5V5laMHabXu3mi0lVzULcNCema0uMDbmJplrPfRZwL9VkS2pbXVl1Nve6Pq41MJnSyHFCZb5lv6TY9563wpYMb+ubIqmfS8jcoiO/srQFJq0YfgcFxo+wpj+pflOKK1zcOlYLfqTRanuUuTYQjOjG5v1czYU4Db/HOnCg81nyQ4/b6ZuYbD+0kqqN3/ujRiKC1mZoVTu4HHVgKY05tSEwbXzLtrQIggRUqmZEPDwpzvda18/yBXwj5hVHZmPVKgDtB1YbYQxLyk2IYD7UskTw+4/+KWFLacAgGiAlMdcoNQapPgYp4WlNwXNQgQE3J9p19UdadibB1ENne6hGKDKZE3GtgR8GVrdccMKKF9EZ3BKRyX6JdSiWdHR7Lq1PalAg58RD1MGMaURsb3lau+dag1k1e2lzNDRZ9jXt/+VGgIbug87Dl57vbreLRUcuUb7VJ6gy55NTJao4l5K0BrCRrzopaGLn14SIawvc7PD5euCYSx1DsSHX0TPVcalsKI6eoV6jCrD8AEAeqciLATddYyTroT0qM3KyRdLLzIkDItOzrf5eYNrFkwTKAeGg22jpFHlIfhllnu2ch8O0CEaooAMH3GfJz1DclC4Usyk/9CPdJpT7k3nqu9bwuvvhZkaEjrELg746PGcQD1GqMyNSQ5N7ORyr2gLwCR1LD08RDr7WAj4uJIZp5rQSexytuSSG7qRJE2mIyHisC0kqoxIh8RkPZZrYtQi3f6opUbgrl8h+KjAAqXdi51kUr/x6gcbvG2YdD68XZJBQqSZNKZqhMPWvqGdMVclGuMDAmoQowLH4wE8JsbYLps8WCP0pz2dOkz5R2YklHdNe1YD4MeEx0YlEvRqRwq825pUNYyyHbJM5kWqHjBCEMxu87phu5vGDrTodc8IloG7AAIQyDQ0+Z17SZGvgJCiojB3CS67o/rKvUVWm2c0sxERMleabtDKmvqHWq9GmQjXXULUGXuBHDddZN7c/c6zY0VOszNQru7ejUjmzhnp5EW1/6OpNajwl+I68OcTsqImB1efH7ZrVPCBuPhsq4xnKc6FKp3VgP6KL9JiYH+2jn3FVkGyy1/dDJynaqHP1uj8qMLjdbaRjejlnBhl/nqASmuuuG4IahPjWE2z9VWBg+jarwICbCtuIiQMVGJTO1oSq5m3Pm6SI48QwzZG+gGjNJTF0t22Lpw7tXyJdSFKZx0AXyjTSa+OXXiow8LtSEW6XFMBAZaYjAQwivAQhkUtJ18K1MfzjoLuwpAIGGDvLV0OtKbg5UqJRSgUG4TCzuB5VAuzG6KGtblOBQbSlpOpYoQID1WTMCxj4ZZLV9VAj/6QCAwE0FI1BKEyyCgw+Kd2AXi9ZS13mqJWrLRhmhTjVmSX6GTjca/ZDO9Jt1N+S1/1JDDDweverPoB+gEHPcgMo17P5jMux6ewUKzxoSvQtkBNPDNMsaURqH625JJZu9erV6OKFC7bMx3du36ayZUtT+vTP0fr1G1IzH0fqIfi70kkFBqHduVRgkLBeXhoDtFKBgRfTWPXbCXT+QUKkkJSkMVDNnNwkvvwp8isB5v3kscpghMqsSxp+94kZKymBgZfZjt/rTUy7pNAYmBKaYd7hMsnJBQzUcSMBDLAGt3sGJeU4Tkmb+ltKTmDgR5uvagy8gMHio59bycxSgYG/Jy6xDLxplMTSPX/+PLVq2SJA/oMBAynt00/TiJHDA2BBF8bUNI+kqE/VGCTFKmvGSAUGmkVxqWq8rJ+Vt4Dbdbp0i8opL6mRbtBIaQzUyEQ6UyKMHQowUHMEpAIDkQn4QDx9si8hgU+oich0992tTs06G6p2IhRgEI72RdUY/L8CDNyiV/3dgIHqr5QKDOy/wmhqDFKBgX2tk+MosQy8ac6RoAsNwew5s+nEiROBYXLkyEHNmzWnmFKlTMMmS30qMEiWZU/IfIwEZ9i48/Hpu8fo+8PfWDPjPgZqODST87FXrGWLuM8CQphyB2RE2IkR4UuxpRXRNroUrmnMc+BzGGOzDmsGW5mIESJuXqOhngnGjMQSeULVXujC1XHyPIvm+CqvaEO4qkl3dNEyAvG3p/zLIq8DBjxkqZvGAA6dMWPHWfRSEjDgidhMzqPW5B8X1Ay2bs6kvJ88VoEB6uY17BhSzgJJx2vPnTtDcXIO5R5jHmqSLz/aF+7oG2oWZK9rD+c8z7HgNSfVfArjXejfVxsTX9UwufmkqMAA9PyGKlV/0whTuqZZH1siLdCK9MYTqYULDNTIRPnTPkvbOgaTdkV6zomlp/5u8bvf06mfcZ1VYLBNRIjKnz6zbfiaSwbTxd/vBeq+LNeO2hUKhqTmQqE1zUbbvkMqMMj4zww0vJZTy6JqDHjUQdtExMGqk9/QhXu7A9Xp/vECvVw+yBfwtsl5HAmmOVLzj9ZcokU3UtcdSTqpwCCSqxkCLTxkEhjky1CR4oq+bfVWk5/oohJ5hUMDoclHl9Lscwkh1/wwr9bgrACH4yH7F1rJXthpx2G0IhMhC/F7O4NMLLJNjqr+tu2l7JhMFCrUGNYg7yePAs8LcbLdaPHRsiezCTD9StIdXbQM1cEOH78T3T50XKHfJGfoqDKMfmLcOwaLYkW44VQ50+wmBdZNnzPsWOdQ8gzoaOrqVKYL57e1fZPyP/eCrqmjTo277wV+OPjzSnKGwQYv20DTDh4PjBuJDMiOCwizQtVi5Hs2HcX37W6kxJ8fU1Qr1VkdxA52f8uROBD1gbCjSvZxv2ZmSEDWbmMweIQO8IN+pDYeBQlZlVc0eydk8jzRmd/rDXmgCHXA77bUrKAjsVuUL1WbonMIV8NLN89Rir6ubs9DoGqveXS8G49u0aD4IBgYGjuYsqXNYrtK9fuO5GYfVPvCdl49uPnwLC088rFVlVISm1kTelxISUxztOYSLbp8LVPCcSowSKa7oAID/mMfs3sI3Xh0JTAznvxEjXqABrpwaIi33271IMv0xg/zGhhM+QdAMPboaiuSjnLKVxEA4fPKnSIaqUgFO5iELoa0r8mF2YhHpAA4+a7OB57U1PB3yCD9aaUOjj486c6JTsGPi2ysRrExSZjVGP59Sleg/tVqy+62fTgMo41AEhyofgYYzq9GgzPOGzqJJF1Pp/M9Yy4dhrR0aoMOvhl3t4HAYPZcN4823rhoNQuF6QLDW3HqWCvRnRfwGb5pC43eszcwFnJBnHy3jzWursC1BSnBjEjOk/sZjIyrSS+Vj5GnHXu/wNfvbyYUqbQ6Gc6s60C/2j7csvoOAQ2AgrkN3zBKzk3jcBDkFeXHRCep69U8L24ajrmndlG/3UsC09Mlk9wmwnN32hIUQnFBzme7JtPmm4cC/XXfoE+3fSHy7lwNnG+Ypy61KdrcthR3frtJo3d9ZNWF4meQUkOWpiSmOVpziRZd60FIQYVUYJBMN0MFBh1Lj6AMabIHZsIzH/OXxoKTS2nNpQRNQO50Oenjak7GlEu1Fzb6nDL+81lfV4qsj8P2L9ICAjD7XYvUtIUpBdHfBBD5ZN98S/2qDgSJSyRNjNSXMsZBHoEuRRrZUtKr40eqzJObQQszte4gz3UFwGq2PijJ4uHv5PxUkwOdVDGgUVDMiHQmLn6lnxjzrcVLaeHpM4HhU5q2QK4J9qpzNMKWzu3UXmsSovaB9LDurMkW8+yW6E3tp5Z5ngFI5rsULkMdi1cICWRImrh/K84epe+O7qTzj36V1RQq06WavnhpC7jU/JPqsfRGlUrW2LqCmkQsJWkL5FxDmR/PhWECln61bFwqrcs+Luep7nHvGy77yooShHOIUNQkX+mIJDq7/fsDWnHhIH1ycK01bGISqakMNgjqTBatgUIs4B2F7dajB3Tz0UOrd6HnX6ACz2cM67clifA8LyatAdar1Pxg5DZuTgTTz6LzgmZTPO+MGq5ap41XIxOZzIlU4Z9XLoN7v1+n2Qf7y8skJDmLK/qOMEH+p1WXnIW//u+/KV+ufCkq83FKS3CWnPcnnLFTgUE4qxaBPhIYcLvBLRdX07oLCdKMJ8UP/9NaY63R/iMY8Hc3D7KyKnYu1o5q5g7aP6IhzxCsk2hYBJUCXoY/nImnoUeWK7UJRb/mQTo/BElMgopq2YrJqrD2nEGXRKIJEPAhWHBuM51+kCAFwph+cilgTTtv+MYyw9Jl0QStQ3cuU6PVQQmVTqKoOqqCIdSZEamx7d3speceOEh91yWAS4zvx7wE7bw2ZM0991OCbW6BFzJQmn884dXF87zqOIvGfsGBykCjn1vEGZzXbZxBkm3gKNyyUAyVzpLTUxoLZmXL5TNC+7bDAiqSDkBBKBmP1VCsoOF1TSr4Q3svPw3VhAjtvSTyaJPUG9dolM3yAi3r0dE4DdW53uRfAYa/9JTge9ZN06Y+E/gd+jUz479xOWEIAXrF1AkLIMBMafH5/bTwyjFJLrAHKFjaqKfDdt7WSHMAADNwyzJaeOmkdTaxDvhY2xWnjtOck0fowsOE6GcWcUMBYYZzpHuGmhd5kUplTRCYGZo6qlUTPbf7o5oT6XLGvLN1Mi29lqAVKC386JbEBQVw+AY1XBYEDvxbcP8/v1LfTQOtufnJfhxKPgMQzpgmL9Ut+IYlULQGS8ICAMHRmxvp4I0V9HnbtanAIAnXPtpDpQKDaK+wgT6AwWeLW1PRTDWpXM6mgVbQFgyLf4/+I35w2LgkQXU6xvnRtT+n9E8GNQF4Yb228XPLSRdtptcdTLnTZUHRuEF1qpP4g5HtV7KJ1lHWSEycAEAYtG8e3f8/Cdehtg2XpkoD1/mJUOfuu3tarQ6UARBa5a9J5bMkDoCAGADB1JMrbOuJer9gS/24oB+XPKEOm/qR0qm2uSRM97HmjPCk+k0prnDxhAGU/zpG22/yMIUMrTp6mk7fuUsnbt+lh//5i/bf+kk9HSjDDrxEloxUNHNGKpsrO4ULFtTMvSDsBxxAWt5h0Szaf/eONS8vRtpqqBRUvw6l2lZEeMRn/ucfVDRDghPjzluX6cqj+zbNgK2DONDdQ95GPT5/7y7FzppkVYHpcTOR4uCvb4Xy9F7tmlZ/XuCgwIvh5v358e9//h86fPkmnb19T2RqfYIKZMlga5L5macpk/gLZxuxPp6+3nHA6vpK6eI0pFld61gtcCd2k9ZEjfKE/vCSqmMAAEAASURBVCanff5bDAXcwdTng91L6RchMOAbAEKFzHkpS5pnqYBwhk0jnie+AVxg23ztJM04u1dLJ1xQAAb+9XVzaf/Pt6xhQ7k2q9PjQvyl87T41DFadN75juZt3Y4BEt6uWM03QNCZAa5p09OxntzsigtjuDkRDxjBA1DwYBgjdo+hk/cSrl2nNeDfeggB+1T6lJ55Mr1xOeYe/JDu/h40QYRZUb1Cb1Ke52KMfaJx4rc/f6G9V5fSeeEU/df//SMwxKgO2+jClQspQosRLZOfaNGNxj1KLM1UYJDYFQyzPx4y/JCwSZWgqi1A/cBqI6wXBZdCtCooGL8C9dHM2rgNPneMsho+LkCi3VtIRjbfsb+8EW3ofQEI1GgMvK+fYzcNAgDCqMpdExXFyMS4Y25Q8dbIVooqZykRMkhwo+sXFEw+ts6mfTH5Fqj2rpg3/0ChjkvBeMQNLvE0JfaCaUWzmXPolz//BFmCzfmyzsJ2PmPGwLHXP2gE5uw9THMPnrCy4nr1Uc/DNOXNKmWog7ALD1WboNqLg2ZSgoOA1PPsEa3UX70+P2X4hvQqUyMkkwmAghYLZto0Dm6J63hEHq+10oGC2S+3DvkeHb5yiw5euknrT1ykQzd+9lyOUtmep5erxlC1wrnFWP/j2V5t0GzCbBsYdfOFULUGoLH9tW6OZ577bgB47e72ltZsjZuZmfx91PnKMqTyc07tpLHHt2oZe9kODH6pDNkChxtvJWSbl+d0e7RvluvFsLQPYKY7r5lte77CAQVYwzlH9ntqB7C2pTImgOhiGV+gE3d/okN3b9vG59cIc8ABsbV9/W44mDeFAuYCGR4xSg0xjW/i9hZDBcBICBrBo/51LFCXXi3R3Jo29wXUfa+v/HqBxu8bZvXRBRqxTooCJPTbL861Ep7Jc8Uy1abyOZsLAP6crIrK/tIvh+nSvYOO8TEYgMGekz9S1nQFozJ2KESjxcBHi24o15ZUbVOBQVKtNBuHP2QP/nOfvtr1sVFboEognhJM78haQ+nJ/x2MbMMdY70YWPgStFk/yiHVBwPbv0wL6wXIph3WIaQv009tcQAQEIMPwgdlWyXKSdmNkccYAAmFns1JmZ96jjL9M+HlmUmUM/4zPV16eIN++uM+nXtwnW798bNDO4D+2EIxVeLSJq6KTqBIdP7+bWq+erzFIOhU2vwjp7ObVU2ITJJkfLQbTJ5mJTPDHEw213J+ch9/9hJtOn3BilQj68PdAyB0LlOcOlaIoczp0vomowMHE1u3dKURKc2BnCTux4Izh23Ow/KcaQ9HyMbC/Cgc/wTYZHdZPt/GNJm0QRgfpja1J0/1Df4SCwruPPiNJm7aRyuPX6RfheYo3K3Zi3mpVtG81DDGH2MBkNrx+4U2cGAKYcrXBD41a199xcH0cx8dE8DGNaqBAHAcCjhAe78AAW3dNrwz2uQvS3H5Srk1M57jIAcNcS0fVK7vkLIbiYgT0Fh+e3CP7TmV7fFO6lysJHWMKevK2OO3ek6A4LM//0TzhOmRqu2TtKD1e18EVEjzxBOySrtXTb7QQOcPws27eGbqO3/8SuUXB02CBpVsSq++GBTGcUEc9+VTNfy6bzbmxYWBPNgI2vAN5js/XpjKqwkAoXCmqhFlziUYULUDfGCM+3Ktj1JNifjC/I2PU4FBMt08DgxmH/mOjv20PzAbqBUHxA6nf/yvBMZ/z4399N3hadZMuc0iNyECI8xVm1ZnUZgnfAneF6Y+6gbmdXDZ1omS4Kv0dGW3SEcAJD1KNEw0QOC+ALp5hFIXCiAAXYCCt3d8bwEuLmmSY4MxaL/mO9r/y41AFSR+G0VM7cxpnpFNCGYLzZdNsT62uoyeagQedBxVoz69VLKMRQMFfHDbz5pL++7cser9+BUgCkyfxWuN2oHaeXNQpdzZqVCmjAnmIopfAeLOn71zzzI32nTxmjW2WmhZND91rViaSuXMqlYbyxwcQOsxq20rKpXdbIusAwfwwRhZrwnlz+BPW6KbEO7hOXGPzty7Q7/99SfBhEiaFBXKkImehmQ0c05dV1913DwMnXT3VxLjGiHUz2/bmmLz55NNbHsOCgDYNrzZ2RVoSQLQDszecYSWHQuaNshzcv/sk09QSaEV4NvVXx7RpfuPeHXgGH3eiI2hdpVKeGoRwPDX/XYm3RcgQW4mcODXhE51RAZNk/lZ4Pe7/HuH6c3E+u1dmV85T7kHnRXCxGjP7Qt05bf71vtAnud7mBrmejo9Vc6cL1HOy9ASfLJjjW3+GCuUCFloD7+X4bvjtf4DAFatiwpHWY1JI/p6bSbaABrfClPJ2Dz5jSR090cnVPHK+aCGLsW7fEE9kffg2QTTXHx31eh/+FaMiO1tzYlr+U3BQtS8Buj8UvHXKCZLeYuOroAwpitODLdMedQ28FsslS1O+B/koAxPZbcsEtQ2ujKcnO/9cY0e/XlPZFs+aWVc1rWFGVPpbE2oRNY6Afqcn9H1Saq6aM0lWnSTal1CGScVGISyWhFsqz5kPKGZKjXgcZH5ywUvp35bv7E5xpoyA5tMh0xmLhG8XBspAIR+O6droxhhLh0L17BevraOPg+g5t1z6xitubzbti4+uweaQePSPH8NT/8MleaoA0tpzKkNahVtajzYcS2Bj5YCCtBhVMUW1L5IJasv2jRcMN5mp85j3XNnVJ2EUwcKuseUoKGNGlpj8QIYrmFrt9Lik04ThnCl/ZDwfrku3qh1AMgY1KA65X/ByUjy+XFwgPMm23HZVwcOcM4r3Kfsn5R7mC69sUJIwxX/CIzv5hQL86FO8xdZmgK0N/kV4F4MXLbedn9xX5d0b+u5/ttPX6YZAhD8eD4B0GIcdYN5UMW82ahG0TwUkyuBgVLPyzKAxYoDp42aBr8AAQC0xZT5vsABf25MvwNVA4f5msABB+5oC6Z1XK1WiUqKh6g5t3//lfbfuURZhc8B/A4yB/6CQgOMFc6GZ2vcgR9p6umDtu6hztvEtIMo1qtnhSohASTbZNgBkhZ+vkuYXgnwrW54331RL844ju7+8AhLeM9WmP8vS2vLk9BBa9Bg5VBL0MO1v3NPraOJJ5db0+KhwdWEZ2ikS0jKrQXQzg84UJ1/pa0/+vINTDycldP9IyOl/cfzATBx9/crVjP0VX0XrBOaAuiUytaQcgu/BmkCjWYqP6PplqRV0ZpLtOgm6eL4HCwVGPhcqEg3kw8Zd0LKljYX9a442BpOjYkMdeSASv1sCVN4+E6TCRGXZGMASECGisyOjfKUtcZLygLs8Mef2mi9dNWx/UZCUvvoyhIkABRhu/PvX+j2H78Eyr8J5+inxRpIE6MXn89PTwnJvZezdqCz8s8EuLjDmuyi2raiTheetMnCCTZpHpd2cWfUfCKKx5oOr9pU7DoJsokZwjykD8G3wrFTlcLiHBj31jHFqHrBPCHbnqO/3AA6Vhw5Rbox0AaOpD1riJCgHiZGPMcB+rYuXIiGxTW0rQHq5QZw0GvlItp4PcGJU9Zj7b6u19S3g6PsF429jgnykpByB1vMy5TQS2eCA0fjES3quYKCC0L788XK7VpA4JeJ160XnJS3CbCx+eRFrfZB0u5e0/yOCgUccH8D3e9BByJN4ACMJc9LgesM1blctzaRrkMeBl10LGgiv6zR3Mhgq/OAudWnW9c7QCvaRBoQqOPinsB/4dNdW9XqABAbWKm6Q0sqG3FTTPyWeCQpnoSutfDVGFOrsyTh0LD3LlKX+pUJ+hOojsjoNK76u7bw2aoZMM7rogkit8GEfV9YpsRo55UVGW2wASCc+Wknnbyz1TeDn9DT33+ER82Xoaxwci5l9GOQ/Iw/itFtFa25RItudFcjPOqpwCC8dUt0L/mQLToxk/bdjLfoqXkLuLShT7leVOKFYLSd0Qfm0PLLO6y+tbKWoo8q2bM04iTPvIs6SD7G13g9UaY7oJPYDUw1wqS6AQTkTkhsmNPEztPUX+erwVXOal+uutaBAm4fy+2X8ZFUk1zhY7ekTWebWUyooMBkNoTIQl+1bODb1Ee9Vq8yIhuN2LxTa6oEgPB+/VhXEALzkJ7LV9qk5LAfn9ampcO5VJ2LjvnG+WgyNur4ujKA3tCtGx2gBVLRcY1bGcGODhSYzMTAQPdfIpg6JYIUQIGbozEY90mb99G4+MOOaedJn5b61Kvg2y/AQYBVSH+FmftOsTMkpJTP07A2tSlfJnt0I9nQLzjAb4eb1em0TaGAA8xBTX4m5wQH3lE1W0QkMZ6kGc4eWYwH71ht0z6CDnxfhlRp5Eu7AUDwze5tjucTdPCMhhI5CH3C3fA7eXf9CgcwcdMe+AEHPAkd1+DyCHNqPhpuUsRNeRFmfPjub6ykZ7h2/i1HHbccQB0ckjvF9LTMilHntsEc6MjN9QIgXA4LJMAM6fk0eYSGIVfAFAnOxKpmwDS25GdM55OyHnMpkjkI7CI19qnbM1OMH0WkrslEJxUYmFYmyvV4eDccWkffH/7GGkmVEHATonKZS1HPMkGmHw63n+4L+h0gC++o6m/TU4pDMgirNpJyIO5EJeuTe+8VxaiRcFTuULh6soMZrBNUzBOOrqHpF4LADPUAXDPrvu1w3oZk8Yu9K2nqub1oFth0mUm5MyD3K9AxLNwZNRRQAAnyhPg9tvCPmBxMSxBB6PXYCgmTjeJ/E0AAKOlfqzLFlShsHB0aiNcXLrb5T6CxjtlTiWAdB25cpQ2niAgoLUUMdTcbZpVWYspguKYf3qedh5s/AcZUsxrLOZhAAYBfl9lLbZog+Hd83qyeEXzN33WMRqzf43AqrpE/G3WpUpKqimhC0dhMAMFLe6ADB++IZ7h/PXuuF9x77oiv07CgnQrAca0mzQHOwW7/nc2LHQw4gH2okahALzEb3jdbBSDQOcpDkPBWiSrU4cXyng7GMD36YP2qZAcEfC10/je4rmE16ml9GnTggEd345pcNfEZBFhVlwyytNvcd2zvrRP03s5x1jT59xjf82G7Rlk5iHTaf3TWaQ7gc9iu+KtUOOOLFn2/BYQWffTXPbr54Iy2C5h++CJgS0xEoVRgoF3ev21lKjBwuXW///47HTp0kM6cCf6onn46LdWoLpjTzAnh1ly6u57CD+mVGS0t1WH6J5+ndyp9HJAMwGlpcPxQ20tEjULEQUG2pzLQpDoDbaAAjGvPHydaybUwGbzMptXo6dvBGB+XcyJyDmxdrwvHuGu/3ycZOg9M7TNPBKMigX7x57JS4fRZAjaxpTKFzzS4AQSMAzOjlvkqJosJlAkQYF5cxYw6bFhH1dEYdTpQwD9ePGSgDhRwu/NQQIFJS+DXnAfXEcltogAoOhMjSLU/aljDqLXAunyxaTNNOXzUNh2E6RzVpJGr9gDx1gcL0whd8iWYGPUoVYGq583vy8zCNrjLAZitgzeu0eRDex2ST3TzcozGPe63YrUNDLmFnv1BhJh9d9UW24zcYv/D/v+9eRsdDsJgzD9rFhsxDYFtQpoDAIQRq7Y7TIygqRjero7Wh0EHDnTaJ7+/E12oWDctDn7rPEmYvDSA/HfKiuc4EQ7pkpZpD3CyRETNWiaSlHGbfPRB6M4BlRt4Ps94Rsfv2UFTTzg1RSnF9M6kPQB400Uu8nq/8ihxPCcEz2LPhUA8ShE36+UhTHE/eCAR1MG8eNL+kXTj0RUcWhu0B62LvWyFMLdOpIBCKjBIATchglNIBQaGxVy9ahUNHDiA7t//hfLmy0fVqsXStm3xdPHCBUqf/jn6/PNh1CguztDbuxo/pJemNrAaShMiL7XjiZ8vUq+tI61+UFuOqdHPZhev8ydA3oCJNXo4HGEtQo8LeDnOOLmDlolsmrpEPLy92zEcuaqJ6BlI3FM9RxFP6RSnBYCw+MJubZhT2RbhTuvkKEmxIqOyjDEtz0Vy7wYI3Hw1+McGc/IDCrgtrA4UcOmljtnROaC6aQm+bdWQYoUfQXJtprlhPpBwDxAOyib/A5jVvL9+g820CP2wBj2rVjaa42BtYb9sCrcIGmCGGucrROWy5QxLkwAAsu/GVdpx/YoWDGAM3HM3e2m0QeKyf23dZrtGEyjAWnInY9Awxfx3MxvqXK4I9Yur6hkpCPQjvZk0Fwhx+mkrEbqS5UDQgQOdyZTu9wKfgw9q17I9KzpwgHvFzffU6wYT+sH2VVrmHIC/atY8VC5LLl9mPCpdXRlgYLPIrr1SgIHzj37VNSG/oMQLELxXMVYrkdcOqlRCs3f70cNAzZmf7orIN8FIUrJZtnTpKMszCeGL3aKMyfZyD9PAfj+uk4eBvQlcqxnk0ZALX3jiMw4OeIAJfH++rh7U5HN/Aw4OeIRBzEEHDlC/+uwiir+yFkXbhsSntfPGpRiAAC1H2cJlU4yZDXirVFMi2yMT8kEqMDAs2aRJE2nIZ5/Sd99NsgEAWQ9wsF4wIeFqDlRgoEYgGH9AZPS9fcialZoYBbkKev84ih79fwkZhXWggL+4QAgvr6GVOhoZZ0TBmH1qB628cpzO/5bgmGtNIIIFxNyun7M41RAgQQ3L6TUEmPI5p7fSapGi/uLv94zNJUgo/UK+iJgbQUK05fox2nnnrE3zIifglcUZTm294ufaABYc2z6v2sYGkrgkK1KgQGdWAqaJ25njerzMSuQ1yz2i0yCrrdxuivCT138NhqAskuV5SiskzAUzZ6A0Yp9f2IZzBk721e0xz6Frt5IuzKmJsQUdMCDvr1pNGy5fsZGF78E3TeNcw5qiA6KtLDx5TGs6oRKE1BhbpezBcKSFnn+Bbgnm55GInnJD7K89fBBow52dA5XKP4AOL4YL4KXnoiWO6zI5XOvuM8zDTMDPpCUA891fAIJQsxT/IXIaXLwVfD6Uyw0U84pMyE+J58LvZtIeQIsx+eU4h/YAz0GPucIWXfGngGnalA5NbU7WAAevLBDmPw8S7hXmo0sIpwPmaOtl7oXf9vB9m40MO2iAaa+cJTeVzZoLh1TguRds74dA5eN/YNzxvt5/80ogPO7GG+ZwsegCM6YWhWI8tRRu4BjvI5OJjjo3tYx1PSt+w3uuXaX4y1dt66u2cyvjPrQr+SLVyC80dh7BCADeuq1YYNP8mebNfbj8gAM1lDT3N1Cj+umiBPJIRTpwoItWhLVBErQVZ35waA9wLrkAAjQa8Ie4eP8sHRch1v8jnJ9/6LY2RQGD6zeCGbyxVpHYUpJWJBLX40YjFRgYVgcAYO7cObRVSOf4Vr16tYDmYPiIUfTSSy/x076O8ZD1X9iDsjydk1oVS3CUWXByKa25FAx3qb4sOCjAIDyzcaj+BJCOTDqxzTN2Nhh6mAllTZOeCqXXm1DB3OjkLzd9xeLG3CE1b1egXMggAdqQJUKLsFSABK8NJkcVMxWggumzichD6V21JQAB2M7+eoNO379BKwT9+yJqkW6DhqBnkTr0UiHhHPs4EyZvN/HIZvrkoF3ao3M05k6L0QQFSFT25qI1NjtzN2ZRvSZEpTl46Rbtu3SD4kWoynCSWYGJa1w8L9UUoSz92qdjzh+t3uJwUPYyLzJpD0yMtHqtKIPRmHl4P8WLCEY6MyPePtRj3OdmwpehufBlKJU1u2t3XShSaAk+FO+h9mVKO/rq7jPWa0L7Jg4Gy6QlcDPX4QP+9OtvdPTCTbotwOH+s9fp+r1HdPVegnSYt1WPX8yRkQqLv9LCZ6FEvqz0wrNPq6e1ZROAGVC/AvHIRdCY9Jq3wgYu8bzP6NjcZpYGppg7JJvM0HieA0wSPimf14mzaRn45P0ABN4HDOuDv/7jCip4Hxyj32slKlH1XAWNAEP28wIEb5auQB1KlnW9NkkLv7n1587RFgHKZXZ1eS6xez8gAdei8xvimlXMJVRwoGp54W/QecM3NmHRlyK6XzvxPcCmAwf8Ww2zoq/3j7fMhdEPfoQvl+hoS1yKemyHb+2l9ReEj9B/fk6oUP6/+EJZKpoxJuCDIHMfKacTXQQQuHz/PF369ZwAA6e1ICUVGCR6mVMUgVRgYLgdd27fpt+Ej0F+Ia3gW/NmTenAgf00+KOP6bXXXuenfR0DGJy/ctGKNsClCMhX8F7FtwMviXBAgZs/ATI+fn14g+UvwCccLtOu0oEJzVnxt+HqCVoozJLcNpm9MxRzI7yc4wVI2HjtiC+Q4Da+33N+AAGkee9vn+9Y28mx7R3ZSfnHKRxQoIvMo9MUwH7/s007bZfqpSWAlHbVoTP0nYhIEw4QsA2mOZDZbqsJJ1YvbYLJ/0BnPy6HAqMwYNUaWng66COEc2Cq3xLmRR3LlvbF8AAkHBA+AesunPXUJMixdXtoGaBhqJm3gC2ClK4t6kzaDxPTCkZYlyvCtEYmJttkoqPOExqBnScu0+zNh+jYtbvqqbDL6f75BNUvJTL5Vi9J0Ci4baNX73BESkLkorGdGzm0GzyRG+jyRGh4VrhGBs/J+KaNHQniYBb25rrlNjMh/HbBRL9evorbtANJC7cIsx8kw/OS9rsSYiel1qFJwZKe/gPoCs3DbAF8Z544YrsOnJPX4gcQQDOw9NgJmnHkqC8wgGf3mSf/gWEoxzPpKJvQlj3680868dNPgbqDt+940qmbOxe9U62KUftnMi2a06qT7ffO379cc8CFO2oYU3x/mqz63KbBVsNT+/lmwyF5zP4JdPffQc0avvvdSna2hSQPLMzjf8iUHH9lneWbqJ5DGeHOy2SpQnnSF6BMT/tLGqnSQE6FB3/eF+/7X+jWb9eNQEDtgzKAwfHzJ1KEeVO0JPvRosvXMiUcpwKDEO8CHJILFyoQ6MXNjEIhpT5kPAKRmj4dcfi7bRhqmQ9hDK6a5JoCMLBqhkY5LzCt4w5vtEXGkefgD9A4V3HqWEQkplGy78rzid3DrGajAAnbRIZPN3MlSNVb5C9DoTgvS5Cw78452n7njO1lndh5w8GsgfBhqJ79RVeNA8bBh2TscZGIR3w05AYb1Zl1XrFdDxwUeezzcECBn1CVOqkp5jYyria9VD5GTtO2N0WFsTUSB2DEigmToazCGZRvjwTjeOrWz/RQ7A/dcEq5eHvYsHeoUsIYjhLtwSh/sHS9TQKMekiBh8XVMkYvgsT97eWrHOYMYPy+rFeX4ooXBRlfGxjIgzev0ZmfExgZdNp1/aqtbzpBt6gwK8IG8yJkQC4gMiynecKf6Qyuc9yOHQ5natAzRVvSmQ6hve4+m7QE0Oh8JZx63bQ5u05copV7TtHaQxdA3nOrUihBG3JcgIeH/3balZsIQJvQsVYpqlwst9HkCOZsfYSTtApaTdegc8DWRSziSdAwP92aAyzqwmbCLGxI9Xq+/FDwHjh46yrtu3WFjt+7HdAO7P/ZnwkEmNhw/BTcfAhwrSbHXZxTN7x7Ju3dZ3OAV8+jDPO92Nw5qUKOnFRQJC7Mn9F/lnEJOFaeOev43cpx3ACCzrRI53fgBQ56b55pE2ypWl9dqGovcMC/3TqfQnz/X4t52RaaXF4z9pDg77q6xRUgyPaIaASw8KwIbpL+yedkdWB/XzD/vz7WQPwi9jpthK2DcgC6+Z8rGtBU5H5WWBTkL5ZqSqSsz9+9mAoMQryDcEDu0P6lgEOyzszILzkJDHQRiGQSM51KUnVmAkM84sASW8hMMLJfVhYx7R+nbZfz0TGtOAdp/TsxdW2Mq+wTrT20CcsuHKQZZ/famGh1PACVN4rFUpN8pTzV4Wo/lLEueGkf+Ok87RZg4fD9q0azILUvfAZypRG28YKZh0OzX18FaGA+2bPcYZIFzcvE2l1tQCsQoWj597bkZfjIq/HOwXx2WDTL5qTK1eF+QAGYxe5zltvMcHSmFHINIEGeLbLaLjumt1uGeUmVfNmorMhs60fKL+liD7ARf+pywBTJRB/tEAqzRZkirpFvTOZFbtmTsaaz9x+kT7bGYxjbBgbm/dhqIQEEG4EIHcg5jt0jfhdCiqpumOPQenUc0mu00TG9Ont6tIVJ2IAFmxxgrVdsDL1Wq5xRc7Nh/xkat3K30UQI0v5KAgQUyp6R8mfNQC+IZ8VN6g//gyPC/OjAuet06trPrnShRXilQXmtqRFAzjuzVjsSr+F6+jayS+8RFnfAqs02UzqdNgUO3n3XBU06sW46EzTcL13SLbSHdmhQ9Tq+NENor254R5z75Sf6TfiqAFTKLTHRjPwAAq9sxfL5nCO0A6pPhpwf9linegUKUOkc2R1ma2q7UMpeIMEEEDBf/h6FAIY7jbuBg8D7mmWpTyw4UL/hWAeAg/knl9DW6/bQ126mReins/VHfTQ2CQTyPFuQsqTNTrmezWcbRvIztspkOojWXKJFN5mWyXXY/2pgcPiQtx26ujr5xQstTZo0apWtDG1BnMisishEc+b+EIhUZGugOcDDZNrOXb7oSHwiIxT4AQXczpGHT8O40BK8vmm6g2kF4/1eKRHzWTDeyblJTYIa35/PBy/iOjmLUWyOwvxUyMcSNKgdAaJMvgJqO17GR2PCkU00WmgJ1A1agoGlG1D7IpXU6oAZQbe1c2w2w1x9rfuYhQMKdHHrdZFZMEEwVx8v2qQFBJDAthfS/PaVSzhMNGwXF8IBxjt8+SZtOSmkz8cv2iS+kgxASPdqMdS20ouyyraHJkSXfwGN4JzcQWhD0ghNAt/cpPFgvhsXKkidypaJGFPDx9cdyzktPX3WAQjctBpYA13UIZOJ2JQt+2nYuj22KZgk7LKRGyCQpj+xL+ahSsUSF8kKfgo7jl+imZsOGUFCn6aVqFW1EloNgu7aoNH6/rUWNrADsNxiynwbOND9LnR+HTCDmdi6pePZANM9LH6TNhcFfrteDLdc62js3RKT+TUZwvM5a/8Bo7kQfjcdSpagpsWLOdYm0tcEgciX8du0wEQXgQ3jD9642hZ2FdfNnak5OEBY1zH12wWmHyo44Bp7nVkRBwcYaMvleGHaNS8wpvwH7UHLgk2oZm57Lg55Xt3DUfnk3SPCIVhkrtf4IqhtvcoIjfrk/36KAAT8mCWlJKY5WnOJFl2ve5Ec5/+rgYEbU65b7BUrVlFMKTOj3LVrF9q8aSMlxulYjou5DVj2qTECEc9qrL5IwNz6AQWQZHfeOM0mlQfT+lbx6tShiAjf+D9BaZScl9v+PKRYghnWbYmRZoEeXr5br51ydYYGmOkgHJab5Cttk8Lr5hPNOsx1zqmdDrMhjAkNzJdV2zrmh7VrvmyKzZ4XEUM+qFzfug+RAgWQjL4unIzVDZLRIc3qqlWBss4cAyfAmLcVgKBdpRI2xspBIJEVAAmrhR/DlG2HHXHzQRoahF51yjuizshhwejpoheZJOayH5gdXfQieR6Sz5fLCZO27O6OwbJ9OHtIQmcIhovnXwAtLz8IHfBzM6n6dNFm4hmF3XwJjl28SSMXxmv9B2Ae1KRiUVczn3DWQ/bB2Kv3nqb5O07IKmufM0M6GtKlLr2Y12k/DW1IuwlLbEATz/GEro1sJmq49zxikQ4coB1Pnof7MqttK+1zASb8U5ETY//dO9Z8ZSEpAQLeIytFdK0Jh/ZoHef9AgLQ0eUHkddkktTL89HcmwCCCbzpEqKpiSEDzD/T5KoZ53XgYF6dbpawCkExOm0JJjjTgYNBOyfQjT+C/gTqN12uFZySJx+ZbvM7wLmiGQoL34NOwhzoWdnUc48wotAqXBLRg7BdvJ/ga6UzK8r8dHYBBP7p0AR4DvK4QUpimqM1l2jR9bvGSdnuvxoYILJQKFuTxk2M4Uc/+mgwfT9tKr38Sjf67LMhoZDVtsVDVmtCU+ucGoFoxYV4GnU4KDkol7EwjYjtbbV9ZcMYW2x/naZg7qld1G/3EqsPCmBax9fqYjGitpPKQYBJF1kzbz56EHCSu/Lovk3KrTS1FfHBKfV81kDovaxpnxERl57xDJNnI/D4wE8uBTiC1RVahFAclnVjhVLnBggAuMYJB2OdVkMX01z96GAOfkABpJgNZ8y2pqxjUnSggDtaBsYTDPmkzfscDpxgpPrUq+BqymNNIMIFgJQZwpTpRxH1iG9ecfRhTvO5cK6+L6To6uYW2hTtsKZfb9vhCAMqaUAa2qNCOSorTCNCsZGW/fkeYGD/teu07uw57Zi4p80LF6ReVYSvjyFEo86RHIztiBb1bKE4MTaA18uTlthMh6AlMCUqg1Px9+v20ZSNB/nUCYDgtUYVtEy5o3EEKjCXRduO0jQxF+6f0KBUPhrUoY5De4Dr5aZFuN55PVrYwIHO90YHJk3MsS5TsrxkhLwd8ON6mxBAngNA6BxTNiwTI0nDtAcwWXrqmE06rraF/wMS9jUuXNzT3+W7HbtIZ9IGesj14PZ8qmNGuwyAwHOX4DekcxrHfXlNOI2r26o2XayoYF7gANr3OktHWYI2vPOXNupJ+R9H6kPenZ47plnkAQ62txhqaaO9rACsjqKw6tw6WnTWPldoDxrkqUO1hPbgyf/9pNo82cspiWmO1lyiRTfZb55mAv/VwEBzvWFVRRoUYBIqMFAjEPEEZjy1Onc0Rgzl/mWEuly8pLDh5TZw+wKbwxTqPxGmLa+XrIWicYsXYGCxyJq5UCTKidQGsFAza16qm6ewr/B56rgBgCK0CAvO73dE+VHbRRsk4IOwQvhEcMdiOYe+QgPTo6RItKTRwMw9vpf6iURH6jaqahy1L15eraKmc6bYJI0IgTgmrqXVBgxls5lzbKYma7p0tEku/YICUzQaLztzazJRLkDy+8XK7Q6AAAbvDWE7zsNSyumYTGvA8H3VsoEtRKXsI/fSjtktugpAgnSmrF4gnydzBdoAHrcePPKM5w5mxitSkk7SjTF0TrSo10nQTZF70B6S+sEzNjhMeZIaEGAu6gaAMHTORofDM0yZhnWtpzVj4hoSk8kUj1gErcuS7m0dAEvnd6BLhibnDUDhljQPTHqs8EMony0HVc8jTFh9OqZL+tjLaFmnhCO8W1hdON2+Wqq8r8RkJkm8fD7DMReCduvsnYSkZidvCyf0x+D9yv2HAf8nrHmprAnO+sUyZ6S04hh/1QvlNYJjdR2w1jyiFM7rTIsAnuIWzLC64/uk+hzowIH6voYWvtHqoGYA4GBP2w+tdz8HB1xopwMH/BsvJ4egJFOPzKTLD+3BDVISQDj60wk6e+889avXK9X5WN64/4J9KjDwuIkmUDBy5IhAz3ff7e9BQX9aAgP8yIfEDgqoCHkEIp7AbPKxdTT0SFCKgJfOkrgPrAECLzXmKOUmyUZHmLgsO3uEZpw+oJVwWcQjVIBNfbtCpahGrkK+wurJYcGcIwmbm8My2gIkFBU5F8pmykMFhCRHx6xLmm576SDtlvQNvg+9Yuo4zIYkXW63ivrJtVtRXIESsklgz21g8SFXQ+vpQAEPScqlyCYnY2SRHbjM7oALLcHwdnWM5jq2yYoDRKaJP3aJbopY9W4x62VEmrIFE8xxYkSsep0JCKcvj9ccPktfrd/jMDECczusTW2bBFj2wV4Xxx/1YKB7xFbQ+h7gvNzAHHlFXJFtsVdDMOL4wX/+dI3WgjZyA9jw4/isuybcY1PCMqzdWz/YHWhhlvV1p0Za07Bvl253aAlgtvN+m1gt4y3nr9tfunGPjp67QeeFU/HNnx9S2n+KqEw5n7c1TSOY+sol81LG9N65C2RHE3DpXqc0vdm8qmxm7XXP+tiX6jq0YX7BgS40sMl0RU7CCyDIdvjN50z3bCCaVVrBrBYMRLN6QjggJ2jAbgnt7c3HmYMRBevQ3duu72swvMiT4Vc74aY5Q1Qmv6F9Ac4PCiCw78p1OiFAgC5BobxmP3towtqWKuoLJEDLwYML4P7M7dTeBry45kAHDhouGG/TkqvvbZ4dWc1xgGviwju/4OD9cp0pdzqnT6JOe4BxkgMgIFjKkTvH6OCdo3Ty3mlMI7Bt7rE8FRjIxfgv2KcCA5ebaAIF6AJ/A2zTpwelD4EKn/8ADEatH0cxmUQYzOfyBnrxdOrDK/ei8lmKBc55SSJ0oEAXFUedHpJrjT26Q/uBkZL+ohkyU6EMmQLRMdz8COCAd+6XO3Tm3h3xwrgtEp39aou8o44ry4i9/U7ZGiGbG+HF7Cc/AsbBGlTNkk8wb3npaSbRB3A4d1/kqxBaljP3b9Ej4btxXCRpO3TvhqUulnNV916AQCd1wnoubdZd3OsEyZik5wUKICWuPXmqTVPAQQGPSmOSenIpKubgZaIj5ynBwLpD5x1mHbKNnz2kvK0rF6MG5Qu7Rq2RtGAaMm/XUYfTLM5/3izW1TlZ55jrR3sgxwaztOnseXILmSjbhrIHGICTc/mcObRRhlRaYLR0uQkQgWlcuyZakKO7z7ooPRgH0YE+nbnB4UvQtkox6i2YbT/ZiXcfvURHzt6gM1fv0u4T19Xpe5ZzZExH5Ypmp5iCIsmZ+PMCCtK86Kvlu2y0Ed50wtstHfPVASQ88x+3smtPR6yPp693HLBomn5DAOn9Vqy2AT9I001+B5KgBAhzTh7R2v3LdondS+2AXy0E3i8mXxv42QysXcuf1F48p3OEOd/cgydsUdASez1qfzjV1y2c3xiWGG3xm+00f5HtfekXHGzo9KolrOI+Yfz9PWLfKlvQCZjpzmzwujVdDg7U7MhoBM3BJ7sm0767QeaaCwItYqIAhnzF2TWOyEVoA4BQNlMpislcwhjiVKUVahmaiwQwcMShvZC0AAwQTCUlmDhFy+QnWnTlGqakfSowMNwNaAS++forw9mE6lq16yQKGKhpu7lfgRrvmMdLhu3i2saDKNNTQUckXbzlD8o31krM8dLrt2WJlnFHNAaY/XCptutCGE6CQd4qzJP23LxMy4R50i8i/J5uy5/2WXqvXK2wTY0AErbcOu/KzOvGDaXOb54HrK0u8pAajlSO6wUKwEzwjKwcFEBN33hK0B/FxNBwZtFkWiHnhr1kwnQ23mq7cMuQSHeuXYqqFM+jDUWp0kW400ELNznMi9yk4Oivk7SjXhemEvWmDQzUQeEbEE5mVzCONXPnoooCCNQQCRNNvgN8bFNuAje/Cd19NvkTAOwNmL7eBvTczHPU+eHZ2LD7NM1Ze4iu3X2onkpUuWKx7NS9WUURF93pXKwShvbgrQkrHHOf1re1A3DqHOx1mgNuimf6LeF3qUucp8t3oM5ZliFE2XpRhFK+cZV+vHbZ+F6U7d32qkkStAz5Rb4MPxuuwRS+NxSnYvwuxv+4h5adPOfw71HnAcl/5TzZAyZCqC+UKSM9LTRecoO53c0HCc/RrsvXSZoZyfPqHrQ+aigESjn1zwiujZsW+QEHDk2teJdXm/+tNTSPIDdo+0JbTiBurst9AQeVbEqvvljfoocCDzLiBg7Q3g0g4HwkQAIcoK8/ukHXHt6g/XcO2bIzYwy+wTF6TOsvUoEBX5i/8XEqMDDcPBmByHA6UB0pYMDDmcHm8Ls6CSZCiECkZljk0Q4wEf6CgkR7aNXW2qlDS/DJvk22c5CGDCxXO2TzHhsRHweHbl+lzSLr50oBEs4/+tXRA/N4q0QV6vBieS2gcXRgFQh9uu/OxYDUf6MACondoG1oJJK+1cxRxHIwc6OpczKGVmS8CHvHTZq8QAHGeWvxUlvWXm4zy0MvmhgZzix6meJg7MXC6XPMil02xgv1coOEtmmlooGY9bIOsetfePZpQujJn+4/ojv3f6PbYn/rl0d0+tpdh1Ra9gMz+oowBzGFopTtsId5yAhhXuQnqZXsB6m7LrQp1stkiiP7uu0hnZQbGJsbDxMYm3I5E0ynCoiETuHYjoMm1wKhTucci3psOidjt/uMMKTvfb8uofPj/yaHXrXRXXFPF286TEu2nqCHf9gdvdV2xXJnpEK5MlLmDGnV6kD59r1HtO/kdVdA4Qcg6HwPTMBG52+RGHCAC9GZroCpHt9K+HyF4DMAu/ezwk/gkRCcnBT7hyKHhWoqhPdiqYyZA2tXLOMLBFMjJM4rnTVHSOMECIh/MIkatH6jI+SnX7M20IFA4psfdxlNhSDdLyr8Bcrmym5k4OV8THuMsfTwSSPo8DIN5MnqdOCAv4eRf2JGqw7WlLiPWN+SwqevUj3rfJNlX9tCga9u1MvKCaSLHqgmQJNE5p5aRxNPLpeH5AUO0NALIEhiAAq5RDblnCL3wD+Fw3L2dNnoumD4+XbtkQBjD685oiHxdjjO+M8MVEZoKApmyG9pKFKSND1ac4kWXd0aJ3ddKjBIpjugPmRvbPyCTj9IcDDiL4V3tk6mpdcOWbPkLxYefYjbO8qOJi0BGNcvazS3VKiyfbT3YKIXCEfnjTcuOoZKLECQBOEotv/OJdopsi3LTQcYsGbPPPEkFRe+CUhuVih9loB/QigZoEfsWk+jj+yQwwT2PPKQPMlD53FJFdoN37SFRotEV3KDo+PQRg3loWAE/6KKoybbpHRzOzan2IL2ePI6UMBju1tERcFkx402YBxrlMhHJYSvAABAqJtXrHowdb2bVKKWIla92wbtwVszV9si7aD9gPoVjI7JOA9Go8/itQ5TB1Pcf/RJ6g33tde8FQ6Gy22OYHp50jKAAtN9nrF+H3FTnMHtariuO5jwmSv30verndGKsEZg5MsUzk4lhTlQnmwZHCY9unUEyDgqTJAOiz8TUPADEIbN3eQIbTr85fpUt2wh27DRAAc6vwMw2NPatIxIFCvbBSTyAGZQQzZudkTDgkbrw+rVqH2Z0p4jmEzb0BFAu1nRAtSzRgXfWjHPAR83gOZv2u6Djt+FF7gPBxx8XKk6vV4+mByv97p5toAc8xp2pNhcBQMzg1a8wvx/Wdpq7ozMtf3oNKtmL6qWLcFE+PHl0Zar++nTfcGIRuAD+sS0o5o5y8om2j2So+2+sY+2X99tNPPRdgyxEgFSCj9X0Gb6rJJQ+Rm1PjnK0ZpLtOgmxxp5jZkKDLxWKErn5UPGpQX9xMugSb6EZCY8NnLvInWpX5nm1oy4ExTMXdY06+OQTnN7SRCQWgIeHccinkQFaBGWCIAw9bST4YgUQIjmpeDD0FN8ODjAUZ3V1PF1jm+7u71lk/zB+bX78hVWNy7pwse54/cLaf+tn6w2upCk/WavsSUtc2MWwfi9P3kV7TgTlIJL4qHYm8s+XnvYtq8VseoX7hSS53/bJc9usepVurqkVm6x+dEXa2fSHgyLq+Vqv6yOHY0ygEuX2UttYA+Mj9u8dMyum3kVZ6JNEnb1+o6fv0mfTlqvlfC3qlGMWtWOCYABtU845Y3CNGnikt3Gcd7rWsdIVqcB8QsOpr8cR1UL57bR9mtWhE4wp+H5DlDvFtIU55Nqg2nN+O07bYIGObZbZCXZRu5NIYGhyWpfupgxqaDsH4k9AMJHq7c4wL2bz40fcMCjwvEwpqozMr5LG9u8aQnTeKQi7m/AwYFO64+14eAAdapJMY7dNukYHAmQACAALUOhDAWowHP5PPMnSH7GbX5JdS5ac4kW3aRal1DGSQUGoaxWBNviITt47iS1Xj3QosrzFdRcMpgu/p6QECVvmgy0Im6gYPoTwpJ6xVSWRGHPWmfBtzY71uTSEsg56faY57gDP2oBAnwQvq7VMmQnZd04kawLxckY4yK8YOysSdYU8IFRQ+XhBJgM1dkY0ry9b/W0AQcegUiXvIwzzV6goMc3ix2mPogqNLhT3bC0A9ZFehSgRZi2dq9D4otupmgzKkmEXn31+1U20yKdc6naB2WT9sDLPIHTidQxd34FXdhST2jfxCh9hflQ9WHTfV87jzwEUKCzyVevCcz6h9/ZTY7SPfUEdW5YmupVKkJezsIqLb9lE0AACAkFHOD6FnzY0fH84plpNX6xNR3422wd0NURrUkHDja82dl4P7iWDwOEwnhbE4pgwQRaIGz4pF5tW7hj07AmLQEAQf9alZMcTJvAPX4vy3p01F4GBwdcA4vvT91Zk63vJHw3tr3ypkULwjXV30DNjIxGE49spk8OrrXaq8nPUMmFfPieb2kxxGovCzpw8HG5Vzw1B7K/uofTMDQKZ385T/f+/Qv9/J9f1NO2cuHnClCGfz5H2dJmFX/OyEi2xpqDlMQ0R2su0aKrWc5kr0oFBsl0C/CQfSTiIc8+tyEwA6gO5zUaKpyHEhh/Hpp0Wb13KeaFvNZsO6+daIvtv615P4cdvI5xVWMyW8RSUEECBJ2zMs8UnJzTxjxfXzfX5sDNndP4/FSplA4UoH3nOT9Yqn6AgmWdO9hMEvChLzNyskUaJiZjRHQadYOpTeXPp1tVoYICvxJ7a4AIFAAQhsza4NBYQFsxoH1t1xF0pkV+wAGIcpCFulAiF6F9YjbcT56FF/RMuQnUsVqPmWczp3IzpeISdfiIfNy5rsNRV6W/dMsRGjbjR7WKXm5Umjo3Lu/LVMjWMYwDHUAIFRzgOmd+0N4xOo9WBC3LlFeD2ljZgYMDMJ+zX26tjQaFPrqEW2DCRzVpZPsdS/rR3OvMnPBO+bJeXYorXtTX0G4O8B3KxxjXwRfxRDbSzU0nJJHDcHDA88DwHAfcpIj7561u3t0mrFL9DaC939ZmgBw6sOeRBXXOyGjIfQ5RFy44QN+k2FIS04y5FHna/k2MxBqc+m1FignJGonrcaORCgzcVieK5/Dwlvz2JXr0//07MIqqMoTTUtUlg+j+/0k4x0OdcdXlqIotqH2RSo7Z8jj6nwgH49fLJJgpORp7VMhkOnCQ021wiKueV0RceTqd7nTIdQA1A7css9l2gggYajhKJ6cJFMyfOq+ZbUmXMC8vUDBi2yb66uAeNA1so2rUp5dKlpGHgT0+5G3nL7TqdFFOukxfaNnZwsxkd79XHR/n7pOXWtF7IA1d1eclyvTM0xZdtTBgyipb4ig/jLjaP9JlXbQZP3PSOd/6BQdgMLrPWe4wT4i29gBM54BVmx2mQzOEr4gp4opcb+47YgpHivYw22o5dLbsSiZJutVAFIZP30iLfjxhVUFL8F6nGlSnYmGrLikKMHF768tFdOLyXWs4L3AAx/kh84KAxqR54lo1U/hbDh7dmE9M0hTSNBSG3LrYMAomXwKEHx0W19CmfXQjz4MboC2AkS7DthudaJ9T34kYywSqYVLVYPI0y+kagG1F95dt01OdkfGt4Wae1WaPtgJnQPM+s0lXqz//LvMoRWio+gzqogtKYn83cJAKDOSd++/YpwKDZLqP+CHl+aqpNfqaZqON2oK9LT+3hSattmAYnf8tQS2ok0yAKI+mwFWf1sAuBUhQlp465ppVk3eHI22V7LmoY0zZiIAEZGMevGO19TKW4+GlPLhyA0deAHk+Wnu+rhgHa/t5zWYO3w45By6J4pEv0A4frfJjx1vxt3UfLdjXthc26HIbGVeTXhJSO3XjklATs4M+3N4cpkPf9g5mW1bpJmUZjOwroxfafA/CBQdu169ek8k8IRraA5gxTReOlItP2iNnudlJq3MdvXoHjYs/bFWZpN1oAMa64eBp1lr6MR/SgYKJA9tExI/AmnQIhXDAwZtjFtu0T+N7NtEmalO1LgDR83q00CbO6y0cwtX7pfvtqZeE3/MXmzbTlMNH1eqAaZEaRMB2MpEHbr4EOiGD23BcU4K2bg7wbrSifQ6/XT8+V5gH99/i4Z+hCS49Zaw15W7FYmhInUbWMYJmvLppkXXMtQZq2HDuiIxOd/74lRqsHGoJ/WplKkzT6va26KkFHThQfRDVtsldTgUGyX0HIjt+KjCI7Hr6pqYCg6a5q1DfMgkh0ry0BdzhWA2PJgfHy63UrJHy0FOabTV8XED/D9avoo3XL/NTIR1zVWxInZXG0B7MObbXEWYVvgdTGwhTG5Y0TOka0SL/KIC4Hy1M8fEjLe2CTgoFOjz0IVdzo03s6CmWVNtkT1vm40mWzTlMiBb2boeujo1HpjEliHJ0TKIKgIO+362kqyK7stz6NK1EXeqVk4favc7uflHPlr6zOuscgDGQzrlbOwGPSh3DhS5ejKYky+3j3czE0IdrhHQOuZI29rNW7aWxC4PJw5CAbPjbTZINFMi56cABzJp6tKkmm9j2OkAUP7KHrQ0OuPO2CWTpmM8D74qEWOnSOmiqFXMPHKS+6xLMRWU9t2+X9YnZAxTwnCegF4ovgRwfvwE1Nwrq3XJnyH7JuYdJXt1vZ9q0b6b7o5prIoLU9jftzwWPGnew+1s2IZeb1gC+f6XmD7WWQhc6nJsJ80iDVmdROPHzReq1Nfgtxzk18anaNjnLqcAgOVc/8mOnAoPIr6kviiowWNjocxEb+NlAv8M/XaRm64MvAq4tUCUSPPqBHFgNnQlGVJdxV7ble3xgGs6ZrM3OKZPpZEubYC4kY26DxmWRl+DCwwecHOlCcToa+ayAA9iQnWttEYBwfWqECJ+kQm4GcFJh1igbgz+uVisrbJ2JII9CpEa7UPtU/XaCpeLm+QrQDmr96uLDJ7eV3ds5zE2QyKmrcMSV2/q+L2mlnzjf9KPvLaY7pYECOX8wd6pTNKTda4a84mnf7pfZk+PwPZhAXdZkLxMSTocf60ABNBJTOjSl/C88z5trj9VIU15mYvDbqPfhVIuOyaTGaiAKrfpPs6ICIRfB2Pdbea632j+aZR04WPVVdzI5QMMsrfOooGmeSWuA3BgDl8VbU985sKvW9I6b1phMVixCjwsw7XllwWLr943qSIMDbj8fqi+BOmdVAOEVFUvtF0oZv9GDl27RxpMXqUiW56lJ6ULGd5Vfun7vD+5H1UnB38X217rZ/D/wDaw4daz1rudmn1xAdL77hzZtseqIbNLot1j1BR28nxCi3E1rgGuHQ/JXh+dZZsfcH9Hv+kSzXUoDBmry2Ehdd0q6xkhdk4lOKjAwrUyU6yUwUJOZYUhVmqB7YRSbNdiKmTw5tj3F5SvlmGmxqSKu8mNfAD8SbZWA6iCLejD27YqW9OU/AD+EZcL0aOaJI9b4oAHmnUffQX24G/ed8LLvD3cctR8fc1vbN31pKnqvWkyLziekvW+VX2SIjHOa6kDaFTN2nDUc/1DhhGrnbNIWqHbnCNs5qmMw74FFXBS4I+r6f3VzRG5R2ydnORzmFvPlkvVQtAbyenVZk8MFBxwUgOEaWLsyNS5RxOEjIsfne+5UrkvQpfZRtUIAVTqJudqeRyByY7rVfklZBjho1m+qlVztrdaVqFNceeMUOn8x14q25WaOpmra3NZVjR4FUBfft7txbPWETqIfCXAAutxkKVRfAnWePLGeTgChtvdbxrMbf+oy7bt0QyRYu2FpNdX+0H61KlOEGpUqJH4T/6Oe8l1W35P4jR3/8E1t3yZTvhfJMO8EzukEMaqvge69rX5j1bwGIMi1BrrAIDxKERcA8knDrKjrhmAUI9UnkbdN6uO9t05Qq3J1U4xjbrQY+GjRTer75We8VGDgZ5Wi0EYCA/4DV9Oo86gF5+/fpmpLR1mzOdR2EPEkXFyacajTuzY1qNVZU1BfhjjN7Ss1XbRVMEUaFr/JYojR6O8MDuBs3GjpFOtaefZL6wQrcHvVSfWbUlzh4qyV8AdRzA10qm10aDZhtpW3wCSpVJkbN9t6VVuApGXDusc55pSSKniYTb9ARrUfN5mIeF0nl0KivVdkGk5z8LINNO3gcasaDMuS7m19awlkR9VZFtqCA5++Jk9p9+p9DlVbUK9cfhrSK2U+FxMWbLMSrcEpeuP4ntrrR6XqiOwGjvyCaoB4NSqYLqmgaTKRBgc6ejAdmtupvW8HY3Wu0JSpSRPh8zKja2u1SVhlrpHxQwSCjR61y4WsReD3x2QCqJpu6vy5VE0vvl3He75rm7aa9Ez3PVD9AE3BQWLm9bN8Db4s147aFXIPDDL6wBxafnmHNQ/V0sCqTOKCDK96qc/yVGCQxGsfzeFSgUE0V9eFNoDBmcsJWX9liFLd5wpdAABAAElEQVQ0V18WPEOimuXYpKLsvGK6ZWoTisOx+iLEPHQOsqgPZeNAAy9YHuUhFHq8LZfiQ3OworXdXpT3CfUYzL2aBwJ+DWvaiLwC//MPT1Kqraru4yIJqDavOikiPtgF//WtbE46KR43IzKZQ+w6cYl6jg8mT5vZrzW9mDerRTslFri9uB8mF9fBHbHD0RqAjs6+3KS1QXt1UyWYqA8XFKCvCvzcohChLb/PXmAKScy6DV2AroFt6qA2VDx/ynwukDE5rk8QqP/rjfrGaElc47R4UEdtiFb++zn62etGqbUaBUcXLliuoW6vY+Z1v3ldX16nmh/iXGJAAfpzAGuy0Udbv5sKZnkfaAgq5s1Ga49fpEv3H/HT5GUq5+jwuEJ1FDf9Trk50eG3etn8RbhQJ77Ta5Q/Q0ZrSDUIhe67M2LfKhp9fGugvcnk9+Ndc2j6hQRGv3T6nLQk7gOLvq7wh8hJ0G71IMukSPVN1LWPdt2KC/E0Spg4YQMwQPj1V0s0j/awnvSjJdmPFl3PC0qGBqnAIBkWHUPqHjJELCi/eKA1o5PtRlsJzVA5aPtCmnpub+C8zqkJJzKPHxw4j39cxWmd0BS6LJpjORtH0i+AgwOT1FwzJV9VHBz4NfHxRVw04rGrw13TPqUrUP9qtbXDZho6zKqf37Y1xebPZx2joDoDmtTj6gfYr9NxSolCZLtYw4FqFhPKvOt8McNiOtzi/BuGtaoBDnqJyDSbLl6z6raKZFdevgHcXjscTQEG5KZRJuAnJxfqeqlOxxWLZadv+reSpFLkfvC4VbR+X0JUJy/thmpO5ObArgIvNxDJzcJuDukX0hrpwMGdQfaY914EeWjjxJgPybGKC+HDffGcY4uUs7H6+wOj37h4XqpZNA/F5M5qA17wOZiz4yitFCDhV2EuJjc3zadsw/fq+xLnTPen6MivrChwumAP1aZ9a/nNcT8DnvDsds+gmQ/GjL92mtptDPox3O4W9BvEeWzIiFx7ZbDf1c4TEk64/J97ah1NPLncahHf2ruP1TjChTc2fkGnHyT4SQAYbDt5gHKnyxLhUUInp+OtQqfi7BEtus6Rkr8mFRgk0z3QPWSISFR0Xl9rRvxFoUohdDGS0VEFBjyUmkVYU1CBQaSiCclh1BdspIEBxlCvOZrAgMetltdn2vtdUxUY6D5Q6ofODzBwM5tRGca/gxmRXFvVkTQUYKDmdEgMMJDzyDo4aMqn09zIdnKvAgOTWYNs67bnwODi8LfcmlOo91kFBl55AlwHTqKTocxXDV3qBgzyvhcMU+kGDNTfIy7XxHi6LcWh69ep4YzZVpPEAoNQ+1sDKwX1WfXzbCtdjUUVGPhl8sPpo06AB2ow3R9VU6t776rvb/7dgkZBjfzHgQHPaRApYMCjFCUnMOgfP4b23T0dWPpUUyL1Cfz7l1OBQTLdQx0wwFRyzgyawnBgoEY7iDQwUBNwhetboFtKSMcKjB9hneIqWetEmAVu/89f0GGStbohj0I7kcwMG8yItnUMAjerkaGgfljcwJbXB8oPI6JqDPwCg1AYbMMlJlm1yuiGMm8VGPhlTEwX5ec+8L6q2UlipLDc8TgUYOBnvVRG+++gMVD9DLwckKMJDEymKvw54MdqPH2TXxHvox7zgAXcFEZt67esPqt+w+d60VajaPlJOIhwwyU+mmiRdQNoViNW8Ps7VU2xvIABjybn9d3xAwx4BEL+vWeXFThUgUG2pzLQnIZBjYOufTTrJh9dSrPPJYTiTQUG0VzppKedCgySfs0DI0YLGKg+BqFoDH44coD6/bguMLdI+BfIZeXJvW71GSRPRWSvOlvrbD0TO4iXytiNvupj4BcY8IQ7oM8d6nQSML/AQI1I5IdhdLu+pDwXLjBQpY/hMBnqNaoRW/wyhKqPQaj26OrYKKsSbTcbeLQN9T7/3YDB2yMW0e4T13GpFA1g4La+qilRuA66qvMrzIDGtgzdNls1hdGZIAYWJ4R/KjBIDIhVh1Qdj2HiOLZzI20oWPQB+J24aR/N3HfKIuEFgK2GSkFNBOl2f7w0tapgJ9rAIG+aDLSlhTeTr9r1l8tYmEbE6pOjKcsRtaJ0PMYAqcAgasucLIRTgUGyLLvexwBTUTUGmxoPpvzPBm32VI1B61wv0phanR2zV4GBLlqCo8PjCs7Ac5tKUz+3etB8Z/1yy04zkoAD40Jq01lI82Vo1lCcrd3mzc+ppkrdCpemoTWa8SbaYxUYuF27qjEwZShVTVh0ToEqMHDzMVBNcnJmSEdzB7RPMXHqtYv4uFKV+vp1PuZS9sQAA5XBx5T8hi1VmUj0Q0SpHrEVfIcoRR+5qcBg+stxVLVwbnnKsQ/1PqvOx0hqNuOzDin6uVDzLXgBAzU6kynBG39W3BhSNWSpG+PpuCmPK1RQgCrTb97UX9ar7w3UIexmz6qVw4pIhP7qMw7gO/vl1mE9p6AlN/gO1Bv9gzy09tBqZn82LWVNn5ZuCsfjHRduWL5AspEfDYNsq+793h8vYKCG7ubAQNUkY2yuqVZ9DEzOx6sv7aeeO6YFpq4LTa5ekyx/tmsybb55KHCY3MBADaEKYDBj53KqmbOsnGqy7U1C18ROKFp0EzuvaPRPBQbRWFUfNPGQNfq+NzXMXZGa5AuGKVOjEvFwpWpUIgxxvtNQR3Qc1RkXkXD2dOrnaKObHkx+1KQuaIP4zV1jylGprNl1XYx18ZfO02KRz0DG75cN3aTmso2fPZKNTTgQT6OP7LA1n1y7FcUVKGGri8SBCrZAzy844JGe+MdFzm34pi00ek+CU7nJrMDLMZDboJuYYB6l5e/gZ6BqC7BmJuZOrqfcq+FK/YT3lP3UPcwS+ixea2Wcluf8hqmEtodnZIWfyLC4WhRXorAk52uvXk8ewVAtfeclmwOnSoTfZzfbevS7dOMetftwlkXCLauw1SiZCqp2A1P4pm9Tqlgij3Y2/NkxRSVSw5W6PStce2cKHaybDPwK3l6+ypboDO10Ziy6/rxONUeS5xCZaFSTRraEXfKc156DWL/g14uu+tx6tZXnw41I5Pf+8LW70L+vDVBxQRk3gVW/szpNdee1E2njrQTneJMQr+aSwXTx93uBS26eoxR9Xf1VefnaPQ9X2i+mnY130HaKcmWHNYPpxh/3AhoDRFlUIyxGeWgj+Wgx8NGia7yQZDyRCgySafHxkOX5qinxBGejDiylMacS7Pa4ehEMcf5ZQVMcXXxk7hTll4nFMuBl2GX5/9/edcBXUWXvs/+1IqG3kNCTQOgtoZrQQUGKlaKCuot1dde29l3LWnDd1bW7tkURCypdkB7pIfRQEmpIQu8gtl3/55t4HvPm3Zn3XkgkyTv390um3blz7zfzZs53T/vENwMv0CDj8a1tO3omOQOxGLc6ncZlrvZpCOR8LL2i8tjrBVsHBsMnvUfp+/P9qoajHfE7MYQN0zVfuHgADW/RIejZdsdrRHuaNOJ3AefgY2ZPcGYyJ7LP5rk5INvNZrz8DJx5AUIVtAM6/ivssM9843LI0jz2geFBr2zXoKByYfwLnOEb0Q6wv4Nn/W/mWf9QiylRGs7FbPOzQ/r6hUn0atMZUjOYM/UzH82mTxau9zUZLGSp3W4fJ3kJ3L5Gf+UVJ4Hx8odwhrl1I8FObYEXrnZzGzwLX3NkquiKFYKi4BREccKZZCeWC0L78DJPKhz87jvZZbU78foRhSIH9lCfaLAoyAG0Bq+ziZBbYjNfx3kFhLdrXCyN6Noq7BwGaMd5f5bc83uj1sOe4MxkymWPpofvX9qNd/i6aX2H3/6bb9v5LXAmODMlIv140wL68/KCUJ9oaGLfe6lNzUa+Np0rzmhEkBte6HbXWRfEoTV4bvlYmnbDvzSPgfOmleJtJQZn6eYJMcDl7YlKnCHMnOZE9pClbrkMnCE2w4nUA2Jxy+TPKH1fQVZIJzzQIqActX2IsD1r13YsAgpeqi/2HRS21iGgId4Be/8hE9/2Iy7Qioy99FpqG13PdEqR7cPHoOMHL/hdOxQNBbQnw5hsSXFGt5D9drOAPg3q09gRw+SQtXTOhJki3IQatx8C060vfe7LCIvET58+fG2Jy37sFOxC7afTfMGLJPmB/MuGKW8BDsFH4MFLuoUkCDrbRZuvL1hKLy5c4XcIwmU4IUztzpxoaObdw1wFKCd+wXxKUH/kY+MoZ99Rq49IHjbxhZtKjEmRqX/jnrqOalSJ8sNUNuzJzbDPjRg5tQXzHxxl1MTYbdfRXqh2+IiZP3jsOD/hvSjCi6IPKJiUcWY/xn7TBAP2exXTs29613i14XUMzsXZTBSy8g/Qpvz9tOvwMarIYUyTG8ZSatMGrv4HXm3KMef9cXOgdkaEcmpsnAEznO9sew4DXDv7dw/7aeVD+UbbLQOCaQvstvy4XkkhBeiLlJI0m15cfSmudgXDcJfZ2QUaqfj4+HBPDVpfiUFQiIqngp0YXJvQxy8xyOVTn6WMQwXxgUfFdaXHO4/wdcIZ7WBa/9upbS1/W2OnEAtV50eDbvB7efkaNKzgxThl4zr6mGf/3QiC4TS/XbCpv6pZS2OmX7+KIWyAEPxn7RJ6Z2OGX234FDzdY3DI4/I7uRAbJmICjcwDXfp59sHuxOaW5M0Zl9z5sUJ37TPYcZUr0rTbrguYDbNrDeBr8N7oy41Czlb+MF/x1OlwiZiJ/8v1fYzJnwoB1Rmfgv49PvZrH3lBg6/dNpA6NzebjMgFQQqGvv6FLxZ6OCYJEIrGLVtFr7DwLvHc0S6w/ucVl1DbejFymUIvEUrxvi9m+rJYoyHRQozo0CbgfjovBMGq2zPv+8YXzKHTKRwH0w7ZfQ1wbfgb/GV037Oe7AxJzR7412Rav32fDxKvxGZ4fm78x2d09NuCmPjXdG1ODw7v5TtXVpwk0k1b4MyAjWdiwd2B2j9pF0u8Rz9Mz6C/zl9g310ogd2vAZcNewZ1qQLTotEdkmlAi2ayK+gSvwN7BmSccCa+MUEvWAQVnPfHKziAfRLGlPXY7htmel+nfPgPyj522Oq1UyPv1BaYogc6tQXLrniaal1U2YgCSME/OYnYsR+/tY5XOLcc/av7PSUiX4C9wyVJaC6uvhRXu3Ycg62fOHGCxox5jt5793SODJzTKC6O7rv3fuo/YECwJkI6rsQgJJiKvpKdGKD19/s86vuxO18czgzI9nTrVc+7kL7sfxvFV4n266Q9Wg8OgBy80ONyiq9a069esI3sA/to7Kp0mpi90W+23HQeXqKDWaNwfZskvyyRprqh7INz8Yvp83yZnO3nOF/I9mPFuW4iB8G0FsAw9YO3fN1ySyBnD58HMwOnOYAzDJ/J8dGpNfCaLXfaX2NG/plRfYMK376BFNOKs1+4TCgOx86x47xgTrqo40YIcKyonDDRlr3YSZ7sB0F4qFcXGsYEwavYI72gHsjPx7de7qo5sCf4Qv1g/gZOkyKcg9wGt1+Tcla0B7OWbKQxH8yjoycLhHzpz/2jemM1oDhJASqYtAUmEmnSFjiFTrQXLM4/hPS/zU/z0xLgvMLM4uO8UAtMlv488+uA68J36aVBA6htndD8xUxjDvX5DLWvRVUP78WRH37pR+bd7s8j06bT26vW+C7tvB9ODa8zdPfzi2f6+bY5I/8NnPgipR/MtdrHt3npNf7aBLvDMSp5aQvs4UBRt6SSAvStJAjN6AdKcfWluNot6HXw/yAF1107grZt20Yvv/IKpaSkErQGf/vbUzRn9ix69LG/0OjRNwdvKIQaSgxCAKk4quAha/3KMN9MgN3XAInOBk592ueYVOW8cvTN5XA0vtDqilNrkFQ1lj669JaAWWu7gxROhAD75eDfhU0OZPxwps07VmBmIPtk2aR6TWoXU9fPgUuOhbtExId3WEMwK3drwKkYw7Ns318cTsYBF3PZAXJw01fjfLNGUu2vyb3o5vanHcllP5b2PBHYNpEDp9YAs1kfXTfcD1OnQGmyAbabRuBaXtE9nHboqI/Z1TuHXPyrC4EIsfnqlCW084D/M+Y224u+SnGOGftvT21Dd/fvKlWMSzfnYlQu7llSu9+IvXOhaCic4wU5+DdHKmpTv7a9KWvdJCgHw3TM+7NowrzT/gloCKZF91/XnXp3Cs9pOqBDIe6AluDl8Qt8GY7lNPgVPH3HZcbn0zRWE6mE5mXIi+P9IuG8PKwPXdqmsVzGWpoEZNNvTk6Cyd/Nn31Oy/f4m2IWhT+BXCPYEqZL90yeFtAHnAczxecG9A/JHM40drQRyvOJer9GMf2G3Ey8nH4eTm0BJnAu/3SsbwIM35qvr/s9RUdVtIbijETkjIJnNyHCCU4fQJgJXz3zBTr0Q8HsP77rn/a9xy/yIM47+eMp+itHH5LkYdgHUvAndjYuCVF/0B9nOdtCs70/xdWX4mrX3nev9ccee9TSFEyePJXatG3rq7pn925KSmqnxMCHSClewUM2YfnXdP+iV32juLnZIBretJ+17Ux+4pxZcEYoCpUcoHEvAdbXmbOwAi3HmOVzAgRudAXJxe5P7knd6jcOIEBnoasEcy1TZCRkR36t31BjH+0ObeiziRw4zQFM/gaDX//QzxTFaQMMoeeGt76glbn7fdB4kQOnuQlOgvbgxt7taGTfZF8bxbXiRgjQh4ev6U59kpq4XhqOo38YO81vrBCSnxicGiDk2RuBAPfMV/Pp88wCO037MQh+t3XvGJLwZD+vMOvox2vzltK7GesCTg8W8cbpYI0GTMIt9psEZjjjPjKit1HAxjkwK3r8rZk+nwPsQ4FgPrRPW9dIQAW1Cv8fhOD9yUsDiAlafHBkdxrSo7WxcdMYTQTI9PswOaebBGMvUgDb9es+mRAwW/+7Nq3ogV49/Qi+cQBFvBP9eTFtIX29fUdAy6H2Cdo0k28MGgzXeT6gE2ewA/4Ej02bGxAtzPkulEs4SQE0KF/9/kbfPYHZ14gJH/iZztqjyMH3rvenr/iRBnvEv6lbVtLvF3wklyNnJKI9Jw/TJVOe8pECVDQ5HMOZ95FFr1uRfqSxM9EUHDp1mA5+e4h2Hculb5lwuJU6FTl8bIUYqnJhZbcqnvvPttBs71xx9aW42rX33W1dhH+YDM1nTWRxF9UYFDfCLu3LQ2aPS4yqdpMie4QiHHsueSgNbXJ6Rto5Q+FGDpzOyGgLpkWjW3U+qzPv6Adm3yduXk1TtmV6EoKzqSFAP92KM5cC6nlpNUIhB051Nz7iT/W/1NcFkw2wM3ymSfiBWdGL1/U3+hwg+s8fXp/ss8mWiyHXweVdmlG/5MQidU7G9VZtyaMvFmUGaAhwbQh0N17SwfWaGN/Hi9fQGwtW+eztcR6imrw+qr+rWQ0E8cmrNwT4EeDcM3EuxvlnUtyICmZn7+vZxTW0qcl8ys1OHoKz028DviX3XpVKLRuZ/Sfg8Dt2yjJ6b5q/fw/GCv+Dnklx1LdzU2oYW+1Mhm+du2TNNpq+cEOAhkCuNeauga7XAbn82ydsbvSLTwHOMZECmA89+OlsPyJpIs0m8xQ3UoB79+rChX4mKrh+OLPzqF9cxS1MKrQYQxIb0+1duwYlwRjjA1/OpNlbcwK6CXO7a9o2o25NGgVtJ+DkMHeAELy7JCOgHzBzcgsB7JxsMZlp3jn1c7/w2vY8PpgEckbCs5sQZR/aTUOmvUYHWdOPgqAg0wf/yTc5BFJw27w3fX6DqPNa1xupf0P/mP9OfwLUC8fRGCQg6+AWyjmaSzuP7aLMAxvRRNilWbUCjWBi1QSqVq4qxTJhiK0QqIm0NyzyjH3f2Vovrr4UV7uh4DR+/Hi6/7576IYbb6InngieCC+UNr3qKDHwQqcYj8lDBrXh0GmP+EyKnLMDdkdkdMf5QjGRgxdSrjH6HDzwzVTfjIcM7WzMxAcjA+gbZt7/mNS9UNGG8KLOP3GENh3Kp13HD1HOiUN05PtTPttPGbtziUQ0UrpEx1GPuk0DcJTj9qXpw4Hjbn4dzo8QIje9M/BqP78Mezg9tOWMYmKazXRG4TCRA8ym/3Nob2NyLAiBE9LW0D8nLcYlAwpm8Ds3qUNN6tSgNnExrsKk80TE1N/LSYxABNI376KFm3Y5q/i2ETnn0ev6uBICVIQw/NjEBX6EAPu9iA/I1HMzFhhn5kuSaQQEnzsmTPezl8bY0Mcn+veg1MaBztcmPOCU/NDAlADTItxje0QqtI0SjIghTOhTb8/0c/4tOLPgP0hCTI0K1D6xDtWqWoFqVatgCfEX8fPmLOgD2lu9OZd2HzhGm3bsc20X5kvXX9qOLu/Z2qjZANn554QFAc+UiRSYcDKRApN5iokUiHOxM1woxlvYpGUIGS1l8/69VLtCRYpikxaU6AoVfGYtUiecpZvfA9rA++WG5PZBfRC8TO/QjpCExrVqFImzPn63GexDMHvjFkrblhOgIcA13Qg97s+DU6fTZxs3oZpVnKQAdZ5Lm03vrF8lVcjuV2B6t9s17k5SgEbShrB50C8+f07zIRx35ieCDPBC+oe+xGWogzKoQVe6u/3pwCMFe0//BxFYvGsZ5VgkYBObIBWYKJ2uUbRrIAz1KtShuqxdSKga56ddEHmmaK9YuNbQl8TfeJuQFqbljT8vPGshWcWMCH4Ex44do6lTp9DWLVusYUCLALIAn4OiKkoMigrJMNux/5CW5a/3MymykwNn+FJcxv5isV5c09/wE3rh9PRq6nBKretvCwx16J/nfWm03Ue7EMb7NUik7vWbnNEHCG3ZC2bV0/N20KL87bRyf14AObHXDZcQYPwZe7azPe1W+iZ/ix8O9nYLuw4sezBh6MhEIYmjP8kL39Se0zFN6tg/JNhnUltDy/BKv0GU2rCAnKDO8A8+8rMThk3sm1dd4ZuVcyYkQtsQYP7cL9UX3cZEDlBvcMtG9PiVvYzaAwjyL36+gL5aWfDiQX23ArLQgmedpSQ1rkP5B49RHvsJ7GKhz+kvIPWcSxCC0f07epINxPF/YlKan124tOM2Sw7BwhRpSM5zs0eW4/Yl7kkW228v31kgvC3eWRA5DHW2Hz7iS1yF+1TpwgJhrm6lihTLxC+xZg1qV7eOz3TB3q5zHX1+aOJMo5mTm/mG05FW2oSfxeieyX73GYL5U+NmGe8v7PFv6JdsFMLRJhyBpy7MpCXrTwuwcq2iXAYjBBjDezOW09uzAjUZTudq/AZemPoNjV2+wa+LTlIAsu2MGIUTTKQA/kC3TZoSYDYEwfODa64MKmDjXZyRm0PL+G8Bh3recvSIX9+CbcAMsV7FytSMfbuSYuuFTBrwDCNSkonM4JrQclzdkqPJBYliBPLkjN5l6jOIQovoGtQ0ujqBLERdcB7F16xuqmoFAcjaW5Dwa/OefTSDyYBJQyEno+3HLuXJI0O0MJOWxEkKTKG57eadJlKA79PYgaOsLphIgT1nARyNH+FcBeJTgJOcUQbX799Kz6S/72c6hHp/Sb7R1Z9gaW46fbNrSVgaAQj1SD5WlwV7lI0Hs6yl/NtxdGfYxKJGuWpUv2JdasKahZEXDztrQrOMQZbFSQzkGqblrlz/3EqmOoXdN2rUSMvBGOdXqVKVBg0eTL169aJ3333Xt9/pe1DYa+E8JQZngt4ZnIuH97Olk3xqOmesYjs5SMtdT3ctfM/zBePUHKBrsHN8+uKrfSpN6a5XtB+pA03CZRwONCaqEjWpVouiy1cKShbQ7vHvv6NNB/bwS2s37Th+OCARmbRvX2JmfWiTtiETEqSbLy4iYO+XaR1q4vvb9qVurE0of16B8GevB23Ik4u+CiBfGOOb/Yb7Yeg0K0I79uzQJnLg/LiZTB7wwXz+8r5+H2CTPTq0B/f17UjXdG5pH4JvHbOxXy3bSLNWbQlZwPedHMIKyACIRNcWDT3DpGKm94sVG2hedkG0D3vTEO5u7pUcEP/cixBIeNCBrZv6SJa9TVmHE2d6zi5asjOHVu/e4xP85XhhliANXevXo16N44MKj7i3L81bbBSOTI7REID/MmE2TVzr77QP86rHBqUEaIm8fDvgX3JlSitXggA/gEWrt9KUtEzX2f7C4AP/hQFdm1Hn1g1dr+3WbzxPf7oy1e9ZMpkOoV9OnwKTlgDPyStXXuqnpYFJzZ+nTguw28fv8g8dO9C17ARY/vxALQmuieANhSUCOD9YweQCosL1apTgm2BwOycYQYAN/ojWrTzHg7ah4cJs/sTMrAAtl9u17ftBdFfm7Q3rXJxzY6d2fvdF2nQz68Lvzp4R2pTME6TgjYFXWe9oEynAO1zCfodCCm5b+K50y1raJ/Sww5m0DPtgOvTn5Ot9EQqxD0W0A19tm+UpwNuF9ToVYi0ToAuZEIRSxB/h4KlDdODbg5YmYsfRHNr3bQFZ82pjzq2TIoIYnInwD+E+nPLww4+Q5CiwEwMnAXjrrTfpyScet0KWFpX/gRKDcO5UEdYFMej5+iBm8eXowc73WD9gL3JgUkn2rJVI/+I06hKtyOmQjO5ixvvZTkNoQNxpL3YZBgT599csoc/Yvj/UghkTKcFm/6WeaRkOGUBs6Cw2D5q1cz1N3LHWZ8tpalf2QYCvH1WFYBIUxRg0sYVzjWKB3j7zjyhPUjbxdfLY9CiY9gG4DmbidXk8q98deSTQFpLgPL18tp92BB/uhzhykT1jMoSF0TMmyeWtJVTZf07h2XwWMPABdyYvghDycLcUGt6+nVXfNNNpsrldtSOf7v94VsCMu5vgaO8UtAhb8/bTSnZIXc7mQGtzTseTt9fzWofgBjOktvExQUOiQshNYw3BP2cuDegvrgGzoQcuuzjAlyAUQuCVL0DIwMer1/ppa7zGdSbHMEPbuV496pkQ55qpFgThienz/BzOcU3TPcZ+aFb+xPf5MM+q2wu0RPcNuNiPRGHmHeZj7/LMu90+H+eJ83eX5g1chXTUA0lYw2ZBe1hTlLVzP+XtPxoSWQAJaFKvhmV2FFenetBcCW6EQPrpdFJ3hnVFX50+KBAkb/1ocgC2ME95enBfn+YN5yLLsDMnAfZ7OfIi0s3EDWtpypZNYWkFIKRWOr9AoNvOMfPD1SjgXdO9bgPqwyShXWxdvwkJ9Nle4Jj73II0I/HFuwZ+CL0TmGzEx9lPC1gHSVi+Yxct2rYrAM+AymHuwP3o1KCOqx+DF9G5mwnb/b16+K44fvUKumfeDN82VpC48+neA6x3LiZ37pn7hd+klp0UOB2Ncb5dU+AMN47jdhPgfd8epscWvUkbj5zWOKIO8hkh+Ahm9qWcYjOjKVkzaPq2r2WX3xJEoH2ttkbzHr+KZ7CBPuQey6fNB7NdzZaUGAQHGDJfOMVOAIQYQFuwZq1/oApxTEbbc+ct8JGJcK7lrKvEwInIr7QtxACXAzm4rvlQ6hibRE5ygOOiVjQ5MTUqX42jDF1DKbHNUZUg5P4x7WPKPn7Q2pZ/MtNtIgiog1Bss7ZvpLS8bUYnYGmnsEsQihbVoim5dn22T2QNxC8h4EztYbZmfs4GWrp7a0hEIBxzH9P13PaFaqaE649szLOFTdmJjzUrUtxMt6CNebHnFT7/CdPslTNj9JjZc+kfS5dJ09YSQqWEHnQzP8Hs2iOcrVfU9xC435qznF5lp11ngdB0Dc/Ad+MMpHG1gjuTwoFYCvwHnAV+CChujq3O+ogwtHJ7Ps3J5PvumPWWuiAEt/fuEGA7DwEP0X3cZi5hDmKKNASBYn7WFpqZlUVzOXrLQUdGb7mufQncm9esSRVYaEKBmVAUzy7by6a9++gYmwShZO7dG1LbEMJ6NKhPfVkI68ZEwTnzPJ6Trz09e1HA7KrJQdnNfAb9AUG4tmtrPwy9THNwDkhd99ZxlnanZuUo7ApaQBj2MllAacFksDBl8fpttGDtNpqxMjuAuKA9+BI4Q+tCw2QilE7zOROeIFvOXBJugjNmof/at1eA5ge/5/dXLad5Odv9Jgac4xfhvRObAjVmk6C2McFzDOB5zWKykX/sCG1kH4T1+/bSyn27Pa+D6+J9cllcExrctKWfL5O9T15RjFBPSELHuvWMz6e9LayD0MIkaMPu/bRuN2vf8vc6qxi38TzXr1KRmrMJUnL9OkbNgJyI3/2kdeuNplHQejzVt7eP0OB9/MyC2X5OxmjHrqU1Tejg24VIcyjPLptC72T5v4eFFOD7/NCiD2jOntNOvwhJ+lLXG3zf58lbFtC/10/2+RSiTVgHPJJ8A3WoXfANx77sg1tp0a6lNH/XQmwGFJgG9WnYg1rVPH1OQKVi3CGOzpsOZFmOzm8P/1eJ0hicycy+G2yQ2YqjXbfr2fffdded9MXnE6hnr970/vv/sR+y1oV02MlEQKUwdigxCAOsoqxqJwbS7qUN+9DVzYYYyYE4IiHHwfVfv+QX4QDnI5zpA0lXWhkUIdCO27CI/prxlTTtW4oQOziund+sua8Cr2DGZO72Tey4e5hyjh8J6hdgPxdCb/0KPFNfu4HlNAczpLbR9exVjOsgNHNyMoPO1MvJcBTuV69FULt/qV8US/Txi+wVAR8Ge9vo19XxSX4aGtPHBufgg/Nc9yEWSTLZu6KOfSbLGXIPx53aAwg7906di0N+xSkYQwh/5LPZRvMcnAiScEmLRtS9WUM/AdKv0TPcgPC6ajs7JG/Lo6/WbTVqBuQSboQAfhafrVpvNLfBuc5xS3uwEZ/FZODLjZs9yQCEi8uaNKamTAQas210fI3T/hTSVqhLCF7wT4BvgimEpL0dEcJGJrX3uyYIoFv4SAi1d3RtT3aNiJuWCNcyYQrN0LtfLaNPFvrnMLD3DZGMktkEDJqfVhzNyORgbK8fzjrM11YzyVyRtcvoAyFtgag4fVLcCIHTZM7NRAsk+tkhfX3mZW6EwPmbQ58sgrkti8YsWeA5uy8Z4YPN4ss4Q13i/QGfha+3ZgUIvs42hCQkMyERnyZ7HTdzHHsdrMNhGSQWvjPRFSs4D3tu4x44i8lXwFkH29Dqfbl2PU3ZtNlVy2E368K9Gbc6nV7JWOpHoEDMxK8L38zbZnwcYAIqiTRhOnRP2icBPmxCCkz+BPY8BQhD+tzysQFaguQaifTXzr/3aQngP/DF5slG8x1MIKbW6Uq9Gnbzc/x1YnSETYGOfHfI2p3Pjsnf/VTglHzo1EHWIp4OYW0/r1GVJtZm5QurccLEqnTBORdSrajQyfzZFJrt48B6cfWluNp19t+0LeZC7dsn0ZcT/S0MZMxYKjEwoVeK9uEhg4/BG6v87RAxE3BH+9/TEnZItqdCx9DE/rA6xxp+c+0M+tcGf/UiXkS3Ne1Nv2/Zz0ICL7Mnl02mWfnZRmSgRRiRkEwDmSTYZ7pNlfHizGLC4FYs85wQsyqLaVA4fgIgNG2rxVpkoDvb9wfrL2ZvdrNJ0Iq92XSMyVTmIXdnyQrcdrMqp2fr2teMt8yz4iubVX/AYjLHrf44a3nAh0LwQX//0KIbjWjaxfJFcNMeoP7drbvSrUiM9vNv6PVl39A/+QNmL/YPmFvyIrsNrcm0SNpz2qZDcHx11jJXgoDzIFil8kx9Ym12IIyuRtE8YxyKRkGuKUtcK4sFv+Xbcmkt51jYxpGKghX4EAxsn+hHTiC4fLh0FY1dsS5g9lzaMxECnPdB+gpXgULOBRlIbVCPLm/ZImA2WOqc6RLCSgb7Lyxj/4WFO3Z6mi3h3o7ukOw3S4t7/BTnYTA5ZzoJAggYQrt+ws63JsxBEC5v39Qv7wME9E/nr3adqbePX4hCNEcjio8p0DQ1ql0tKGGAxmkPaxV283OwaRfPLOfsD+rLgtwLw7q38dNCuREC9BFje+qqXpb5FO6/KWeEU0vgNXMOYfihXj19gjB+1x9yZvix61f7CZ12fGAW1LVOfbqWM8J7aUrt59jft6H4d/mdy8/WfCYpIAmrWZvgZYaEd4ubXwKe0ck8Gz9jM7fF2jSvArIEbVeneuyMyhq0UDMse7Upx3Df4PSP34obGZC6MOuyh1+FqeaD82YG3Bvck7/3HWhpT6Atv30O559g/zh7eYETacLsE6ZDDyz50s+EFd/OF1OGUkKVWvTI4g/py5yV9lOpXZV69FyX66l2+cqWL8GHWf7falS25y1as3c9jVv/iSshSGJzoWuaXU5OfwGQgN3HObrX8V209dAmNvnZQad+IQJ+HSrkxoXnlGMz5/r8DajOZKQqTxg1NpKGsyk0O4dWXH0prnad/Tdt282FNm7KovLly/uqpaUtoBHDh1nbzmO+SmGuqMYgTMCKqro8ZLDde2bxC34ORbAbvDPpVvrxZ45A5Eh2guvLCwVJ0O5Z9L4vQ7L0DS+lR5OuojY1C/wBMNP94qqvXQkCzsOLLoXt8TtGN6J2tRoGFbzlWsGW1geOCUr6nm2UeTCPVvOf08zJ1AYEa0QD6lOvuWd/7AQAwn/OiYMB2hRT+6HuA5Z1y1e1iAMIg2Aq54PkTN6SQeOYJJjG5TThgl/HH+d8HmCuhQ/0qz2vpFRO4AZThD/OnBTwQbdrD2DvbIosYv8wYjb9walzAoRnp+CIsUCD8NGiNUFn7mXcWELoktKUSUMFJhBS8ljY23W4QPA3OQ1LPecSmoqucbGU1CiWUhIb+EXTCaYdgAnC8HbN/WbMRbgJ5jMQyuwnhMDdHCoOYSSPsRCBP5hySIFJR2UWkBqw1gylIq8jagwKMoMj7KSbuQj6CZOmpTk7A+LhWw3wP9Ei2AUfN2EX55jus5cQDex/l9KG+rdt4oe7mPMs5TCzoUaZkj4XxRLEY1BnzqXBie7s2gmvseDZFJMzL78Tu6mdFyGA+dgfU7r6BF4xF5qQfdpsxD7WYJoBaGXzWRsrgRqO8GTDjmOHAt4L9jbt69A21uXAEHWiKlNSTH32o2K/KZeJGfFzWLhrh18CL3t7WMc7yM0vQZ5PmNzZw38627Bv43ltF12LJDJXcr3Tky/RHIbVrmXAhMdx/g2giBkeNGsZ7PQfzLxPtHrXsXZN2nR7h2KMd7TryI7VSQi9Qg/NnRjgYwd/ghd6XG6ROJPpkAT1yD6cZ/z+ipOxW8QhaAnuS7qOapSrbJkMTcyaZowwBDng8sYDLXMhOyHYcXgLZe5bTev2rmCnZLMGwH4fims9vkpTDqdbj995VemaLiPOmpmNc3wiWzn3n+l2cbUbar/EnOjyK66kBx94kGpFR9OqlSs5VOnjtGJFepHmOFBiEOpdKeJ6eMge+/IealajLbWp3ZFV0C/Rdg4ZJgVqwyv4pdAhNtkY4xjagztaX0XNqzeif7P24LUNs/yiFqEdCLU3Ne3pS6QCIXYe2+57zXTL9bFEwjQ4wNUtX4U/QFWsQ0lMGlDyTxxmJ93D1rr936Ldp0NcrjyQ6zfLYq9nWocZjlf+ADhgZ/HLeNOhXEsDYLflNLVXHPuglUmt1YQ61mIVOhMFu1YBM0ufZqcbCRgIwi3NU1k709bSILiZF0F1fXv77taH3k17gA/bzR26EoRCU4QUjBsOd7dd3IW1EOQZrhNOfX0S4/0SaCGSS8a2fJrAkYDs2ZOLA0+0CSGudzMmpA1rB2giQol6gjFc0aa5ny0yzECCCTGmmXgZIwSL9NydlMkkYOdRjq61b48cOuMlhJO2NaKpeY2alMiEwWlWImTm9aVMNo+Yw1hCULWHlfQiCOgwNCjXd2rj8zXxEqpRH5qaHmxGdjGTM3sRU595q7cE5A6w1zuTdSTV68imQqktGwaYKsGxem7mNprCpmdO52pc00QIPspYHxD/3u6XESohsITjIOZCCBxwPWsG4qudNjnD5Mh8npVemred1nK0tvT9xRfWEEJtS/blasp/JjNOkNv5W7Pp48zVQZ9p0XT0bNTYj9AKSQCJXbB9p+szeibPQLBzhQwMadncZ2qHfk1hDcHrK5cGTKqgPdyb2zqyHxj7t7m9fyW0NCLf3c6ZjCVpmfTnhU6Xs4NwZ+ub+9Rqf5MO+Pu92f1WS0vw5povaNJ2f/8A+BL8qc1QKwwpfAjcCAGsBgYn9GeiVzCxB63Ahn1raNvhzbR2b7p0JegSM/2Y8UeRGX+3k079dIr9Vgrkj8JoHcbf9JUSAzdwi2j/iRMn6I47bveFJ4VZEQgBCsjC3/72tJ8m4Uwuq8TgTNA7g3NBDIa9c4nVApj3Vc1v4AzAXwU4G+ElcVPr62hh3toApyWcLJEMjvPHx+n4JN2DMHttXFcakdjN8kHAfpgZTeSZ7ik71hlnuuXc4lqKRqBZ1Rj2E2gYENkHmgCQgPQ92YUmARh3GyZHdXjGP5b/nKU278tnDYOUJXuyrNUdJ/YHaGGkjnOJj8HFTBQGN+ro0yaAgL26aparL8JNCR3o9ja9C4T/FQvoH6v9PyC4hpgXZe3fb9QewE74/k6pNCCxBbklLsKMndjagiC42abjephdHtwsgXolxvkJ2OIQnM+z/0u35tJqNgEyCWRoI5SCxFudWBvQhDUMCdFVA4gABNyMHXm0bPsuV0diXEe0A/aQo6H4DYhAYZ9dhECRkZdDy5kIBJtVDWWMhaljt/tuF1PX53gMofULjkLx9qo1xmZxj0dyWEkZTzCCgFC2v+vczkcEQzElg9NucsNYI3GTDNZIXIcSTu4K1Ic2oALnwkDY2mjWWLRih3W7czPMoBCdCg7pCzhcrduzZycEMLMau2SVMZmdXYuCGeqnZ88xzoDjOXlp0ABLQxDMXEhmoQc2bWEJnSACGflsHpa/g77hYA7FSQSAYbACsnBxTEMr8EO72vWsiQmcg3GF6peA+tBYwlG6W6N4P5MoPHNi6hPMLA7tFKbgfrRm7UMz9vVxRvBasC2bPufIT17am0e69bbImpvGFr5x71wywvrd/fmbTwImdzCx806vUXSCk4iZtPTIT3Bf+8tpbs5y43e6Z0xbuifpWvr+p++YlE2g5bv9TY+AiZMQrMpfxpqBVUHJgJj7wE8gOop/R1E8oXdhwUReYbCWc8RXYduhzWyeVEAcDrKGwqSlUGIgqBX/Mjs7m+bNK/AjjIripJLt2Q8tPr5IL6zEoEjhDL0xOzHAWfhx9427nL773/+xverHfg2J9qB5zZb0fPoHtHyfv/oaMxHDEnrToPhUymDzor8u/8RVsIUW4eq4TtStTksfSYAgm8GmPogClMYz/iaTGL8OFWID2oAWTAISq9Q2mgbBLGrz4VxaysL52kM5rv03XVoIAPwEmlSJpdoXVbFm8iWMq+mcUPahT/knD1kaikV7Ngc1UQJJ6M9O4AMbdbCuH8zHQwgCPtBu5kV/aNWVbmb/gzeXLaTHF88P6DYEyie79SUIk26Ji4QgDGpREMHCK3qPXAAmFp05PGASRwVxOgVCWMtmrcJudlQFYbCXjfkFqm34I6C0a1jgwBZdKcovTKacI5FLljARmLc1J8DsSerJEv2yxzAPhQxg/Ai5aPcZEI3AdA4jGY42QGb77WZC6BuSTElBxJi8Y0etTTE3CjfkJGZrhzZrTe051CRmnyF8IfrKuNVrXGdo7VoEIQhuUZogIF/fvgVd27GNZX4BAvjm7OUBScBkTLIUUy+L2LEfQZv6Zj8cRDmCdsGtwCQIfgjOYndIX8JENJjGCqRFIizB1OztxRmu0W/E72Q33xs3sgUB9M+pKVaCL5jgjGX/AXtWXHt/cY9+37aDRc5FK/D1NnaGDzH8s/UsVY+xAjXEVKhEtdk0CMXNpwDvCbyrUWCClMemSOtYAxFu2Gg7UYDpIopoQ5BnYSKbRznt7a1Ktn9476TWaWDlTEioXsOPKKCamAbB2f4YR/paz5G57EkAbU35rQL/BpULcEAYX0T8SmCHfzERQuVQCQ36+GLfQZa2Y2rWGhqzfI7RVAuTMNe17ECTeKLMFLDjbvYVu75ZV3ptzTR6f4v/JA6+PYg6VIU166ZEZbEXsVlw62v4exBDkzdPD5j4w3jEZAhRCfccz6OFO+ewmVC6p68AtAHta3dlm/+EACfh79nH4MDJAqKO9vOObMLCs5zP8ke18nV9dWIqFjwXvh22le+YJKCfIAxwaM4/vpOev+p11RjYMCrtq0oMztIdBDG477NbLWchexegPegZN4Q+WPepn2kR6jSoWI+GN7uKdrFTrdMxGcftBCHrUD79Z+PcAKco1JMigmwPJgl223nxC0A9+AagwD/gCDvxehWYAUlpwgQAdq/OnAE4DpOgDHYK3sgmQevYLyDj0GkTKjnfbYk+t6xS1zLlaVw51kgAEAHiJPcVqea3Hsn1NbWHk7bsPnlaQyAHojhudFyl0/av2N+yejzVYIIBO1ApiAi1ct9Wjp60hr7Zs8mTvKCfw+K60LAmqXT8h+8tDYJbDgYQhBuap7Aj6SZ6ec3CgI8yZrPuT+7J9rr16bWlC42CCmya7+qUQgksRIIgmOKtYxzigxDFORLmc9zxrzfybFum2Tldxo0lBHLLVrhyBWpiZTA9P4Aw2Os71zGLm8/C5yYOX5jJoQtzmFCEGr5QzJ3a1Y+xBIRQyACuL34DyOIqgg8cMoOFkZS+iykFzH1qs+AGbJ0hRKVuqEsIm5ipFjOlUPoi2gQx6cD4J7AWwc3W265FwH2esmYDvbEoI8CcRvpsN8WSGXq3hHJyjn0JLVBzJoIxPONfm58POKejuJEGHAMR2Y2/X8glfFLWM6kMRgRwrpiepXJY3Z/ZTnzy6g2uWXhFE4ZQtSAEL6YtNDrS2gkBSONLS9JoFmckNhWYpAzhsJ8J1atbJkKhkAGQgB4xjahjTAPLxCeB/QGMCRJZkwvtr6kkcC4W0zlSF7PhIAwbmCyEY7J0FSeyRL/sGe/xnM7l38riXTtdcZDrYimEuXOdepY/TW32IbCbU9nrhruOvuTzvdvEZn3BiDz6AWdqMefyIgQSFQ6TaWNWzgyYEIMp7V87DqKsIzn03OrJAaa6iAT4EEcC/HDj9ACzIYwRvoB9GrDzcgiEANqBFXkLWZPvn51bsMLEYYuaSWx63JoaVIm3HICPf3eQ9p/MoQMncph87aej3+2jfSe2slbipJx2xsuKFyAsc032l2LN3gXsR3ZBNQ7NXI2qXVSHQCakQJ45W6E8pQ+yLK6+FFe70u+StFRicJbuBh6yDVvWUXreUpqx5Qu/XuAlMDjxWsuG35TpMDmaZ6UTBlBa7hoanzXLLyYyGgJBGNigK2sQutH/2IRkytZlRh8Ev4vyBrQJLXjWPZFn3SF028mCs26wbcy2o0ALgIRhcAwOx0QH52I2Bvb80ATA8Rf2/KIFEOF/7f5sEoF/0+GdAVignTMt8OeIgllS9QRqVCnW8utAEhqYO83ftZY+3bLEk9xAzQxTI8waIYzsy+vmB9iuShSjQRwh6oO1y4zmRUIQoBFxE1yEIESXr0ivLlzoaoIiQjPi5cPMCCTBK+xnMAwl9rjU23HoqKsgKnXclhDmujMRge9Dt8YNrSRTEIZDiUriNy6+gERncTMzkD5AoIDjJZyFMftvdxKGoyiENQhdyOy9KP+0wOg1WwvBQ4o4isrMsH1WGILPCp6pXcKmTMGIgmgSYM5B//tNUC2C3Y8ii7U87y/JcCWCIkSLOZl99j5YOFkZZ3EsJSpWT/ZDEYd0+J58zmFq3Uit+BDg+clgc6x3lqcHJQSIYOMWbhTPB3x7YC6E8uG6pTzxsiKAxNvHLwJ3Uu36PsdgBIKwniWeuNl1/BAHSzhE4fpiyTXEB8yexNFJHoQszOAcNbNyC97Jcr5piXdMCpsd9W6QSGJ2JKZ2s5koLGCy5BXlyNmmEAbZD7+aCowlCpbI34Bi17JhO5eJQM7RIyGREtSHmROSuXVrmGDhO2/HJnpjzSKjhgC/yz8mdWdt8EEjIcC7+KF2l1Aik7cn0z8LeLdj0ge5g3KP5Rq/v3Au/kObq2jtHg7mYMhULBYAneskc+jiubQ87xujeQ7G1dIiA23YD7EDC/zfUt7RzawB2Ei7jmRaJAB1zmapU6mlRRpu6PmYEoOzeSOK+NpKDIoY0FCbAzF46JNLqEb5RtQ6dhBNy/rCqD1IaXApTc6eZYxacGXjQdSxTgcam2mesUBfINRendDTSp6CmRHY7E/j0GpbT7ir+U1jAGmoxMKxVwlX8He2hWt0qdXYMgdqVzPOZ+oEErD9SJ41+591hGPBO0ypnO38Gtt4+YMoQLMAB3AhCW9tmO2KLT4oo5v2ou51WrG6PsOTIPSs24KzUi+mdzZmBAzHThAenz/TaArji4rCNsVuCYCkYbswjRlxmPekcwbTrzZsCXlWX9oqzBJ2710aMiFlTYRoBWAKM49tKZdwiEK3mXG5FoTfoa1b0kA2lYLQBedKCNnByIBoBGQm3tKUMQlIz9vBv7fdtPpAvlGwkOsWxRJCCnJ+wFFUBDHYTMPfIVi2XDtJyNqzP6gWQcypEBHGa5Yd4xJyhmyz7euzZo5zOIi/STqb+IQ6u18YjIQI2P0aEFlINFxeJmfQfozqxOGX2XTNy/RKNAQgxqYY99JvaGvgywOBc/7OTfTpplWeAjbIQJ+GidTtFxOdDCYCCMu8jjWubmGj5VpFtYRgi9DOYrqJkJmSnR1EAc83yG0oRAFmR/0bNLUiH0k+GpjyyG8sGJEtqjE52xHNQAc2tcO9QYQhOHi/xe9MN5+OYIQA1yjQ3nalsaxtd5oN4TgiDsVcFEXjNs+g3JP+31AxG/r5f6foAzYHPsn+CPYCQnBJw97UProlmwvNZkKwwH7Yt16FQ4Om1OtLTWu0op/+e5I27v2mUETg/HMusuQLabhOpWayai1BLpxl15G1zl0hbb8wIk2JQUhIlY5KSgzO0n0CMbhnXIrv6p3rD6OjP/xMs7ZN8e2TldT6l1DNqAb06caJAXGO5WXTslYrmpA116jSlHaQJK1L7VaWIIuoQpjt/ipndcCMiNQvzqWbdqIoSQCEd5Toi6pSrXKBzsfO8cH0CMQDJVztA5zLusa0Zmzj6Oj3p1i9PI8mMwE79IP/xwFtQxMCZ3BoEWbv3OBJEJpVrUtvrVpk/IgLQaD//p/rTKcINu15FnziGm8bdfQNJAGxyJM4aRGSeUEgy9p7wMpgmnuEzT3YDKiw2gAIm21jaloZTUECaleq4DNHgk1yOsf1BxFYzSEK3aLxoI8oQga6s9PViR+/s2bcQ4m0Yp9ZhDABJ9HizPhd0NvQ/0tUGczYwv5btAlukVakZRkXyIWXQIz6EIpHsMMyfE7g6B2KOZmJKKAtyU1xnJ8TOKejhOOgDrMglI7skI7s0RKZSp47ENTF7H9iytdgncj/0Dfxl4ATrJeZlRCCdkx2YJbnZk/vI9YseAbTDiCSmNwvRLMBESiKoA7QCGzjDPbOyDgy7nCXEvUNwR6gWUAJ9/mHcC0Z7IXIgihk7d9nmfrA9CiUTMzh9h3vMYQBhqmSaPSgyUtnB29Ee/Ly6wBZG9Wqk6uGAH0BNtcldqSFnD/IRAh61kqkUYkpNGVbmnFiCmZDtZkwTN8yI+AbjfYxiReMEMCMuHfcICp/7vkWGdhyYBmbB50Oh4x2nEWE/xrl61umPvATqHA+zH2Cf++cbTm3oZ1AER8FIRIm8qDEwIle6d5WYhDk/iFObPovIaFQFV7g3btxdB+OIXsmxUkM0Bbs+RJr9eFoFisDtAcwL7o04Wraf+qkq3oSWRFbR7dmde9qmp/HbThmNOz9hdB8cUwrasEz3g0q1iZx/i2M3b+9Xfu6OAVLVKDGbKIU/YtjMOohzvO2o7m0lx18C6MJwAxN7Ys4ug37B8C0x+QXgNTtB78tyAJp79tBDgF3gH0OqjFhqOqI4BBbobaVSAZEYfuRfH7RH2KNwEFatT/L+FGwt4t1aGlSmCR0ZhIGZ2ovLQLMjPrWa0fTt60zRjESE6MzJQiYYbu+eWsrSgPIswAAKHdJREFUyRJml2dlZbmaGdnHA4dWOAFKDHJ74iL4DRxnR2R72cw+BCiNWfCXYndehiYAtt6IVZ575KjllBgseZK0g770a5zANuYFZGAiRyIJNquOc0VoxswinDeR1TvUGVO5tmUSwY6ildhvphmHgkROAszyByuIVZ/HzsjHWJMBR9EjTBrdZjRNbckMNPxLIHzBnMNNmMX5MpMKG2s4hge7z8AUYU/bMxFcESJJkH5C09MiugbFVq5gOalHXXCeLxwq6oiTutS3L8X/wHoe2NcABSQA/idr8veFZIYmvift2fdkLmuXgoV3vSk5iaI4AtKX/Ny4ORTjWRnVJtkKOuClHQApH9GkHfVk7QDCJ3+9cz3N5USSoQjxiHBTn8M/Y0YfyRUhqEfzrH6wpI2CH4IaQDMmIaMzf/H/ClcjAeJxce04JtnIXdPAcuoVQXtu3lZPMynpC3CQTPf4PcCBWvIpgNRKbgL41EgRMyHZdi7rMgmIZa2WmBqJb4+dCATrH34HIxPb05AmbdgnbJ1rnhkQgptbpPJ7emNAwlD0C1reO1r0ox1Hdxgn3TDZ1rV2M1qwM82o1e/G3+S2TCqW7Zpn9B8Q34GU+j05wADCQ0/1JANCBDD7H1OpCcFJ+NsfDtCp7/fTt9/v43X+4+XJ7wvCK3/7w27e3u2E2LhdsVwCnfvb8taxSuUa0bmscUCpWK4B77+IzvltOV6vZ+2Df8Ox7w9Y/g0wcbqiy62qMbCQKRv/lBi43EeEhOrRPdV3FHFiczjhisSNveuPf6J7773PdzzcFRCDqcv+Q4t3fBzgLBRXrRP/AJvQ7G1TAyITIBoBohctyWPhf9dC42XxMurVsLtl278of43xhWY/ET4JSTWaWA64EK4v4o8VyAIKHIXhdIuCCD328J7Wzl/+RfE58EtAsfsCiHAtjsBbeEZ+MztzeZGWX5r0W4AENK5U19fHBpVqW2TgFAvvSBIHQT+HScZOTgGPknnAP3KTX2MhbiB8XHXO9gjy0LhqQTgwxJYGoYFvQyhEAR+OPvU60o//I5q4dalxNgrdwYzU75r1KRKC4OWDgGvJbGhi9Vq0kQWxYPH+cY6zQKBEkeRF1obhH5IUSQmVAEh9zO4iA3HvBM4ZwYJrFgsac7ZuDkoGRDjuxTbH7WLrFHpWNJEFncZVa50WdH4RyMRGXPqJJbJrw1wExe6Ej238NprwDK3dEd9uthQqSYE2YXSrzpaZSkYuZtG9SYLcZ8sMhpOnvbVsuWuGZYncBKwbs6YIJAEhY9O25YQkpGOc9gLSUJEjD7mVlXl7g0agcp4rWgvxPYHvgBfxsTthY2b8s8y1Rpt1eV5Gtk2iOWyLbwoAIH0BUbuChc2EajU9QxJLfTHrwTNhD8ssiRkl6pkzM7s9R4tMsEibWMLvCqQCvldS4BMG4rubtcGSUHIH+zGkHzwdgEHqmpZCFHrWbWaZHsHsaA6T6MKEXMWzihw4MJMTvxrTNWGehOs4C8ydUGDSt+M4jyeE3A/WfeT7A+1N7QoV6D+ZrBHasdZI1oQQbDi0w+h/B8xva9qbapa70Bh+FBNrQxpdzO+kDcbvML4dVzW5jE2GZhrDjYIQpNbvRy1rtaZtB1Zw2NjJAXKABQD/w4RhXLUOHKHpYo4cVIeOfruTDh7P5GSDs3i9IMS21P01luf+Norlk3gCeSh3fg2LOLRO7KnE4NcA/1e6hhIDF6ChKRg4cAA1iouj+fPTfLVkP3ZMnjyV2rRt6zsWzgqIwdiZ13Akj1TKOXaA1u+Z7Xc6ZgaS6l7BMxUHjLaIUDt2qNOdVvJMhxtBQBi0lDpdqDWbGWWxE/BCJhNzWJMQThFzHJwjM/Nu50PoP86COkr+yf1hC//SrokEIP7zrmN5tIuF/xwW/vfzbL89IZyc+2ss8dJPrJpAdSrG8kcvhtbu20KrWZswL3elq/MzxnRNQi92Xq5Li/M3Gz9G6DsIwrCEFNb6ZLtqEAbXb8kaiUT6cP0KVxMjzGY2YzvjmdmbXGdHcT2xU09mUyOQBCQtWrt7r6sAiXOKq8A8qGV0TepYt55FBMREKBR/AZgaXBbH+SQ4WgxMhCZuXh2yQANhD1FZ4CSK5EdZTAAKI1iFiosIi5VYsLPn8ZAZ0VAcRSF4DW3SlhBJJlgsehF8QZRqs1P6l2vX03847KlXRlnci0ubNLY0RfBJkNwShSUKoWLjrIdoWM1ZK5HMYXMTalWjDDY3A5Gdu32Ha//R99EdkqlxdHWCVmns+tXG2W/gAofiXnEJ9N7axTSRw4yawnSKdqAjR/7KZCE7WIJICNhDE5KZCDSwtACYXFnBUdiKIzO7Ey8hEf6hm2N8zzQSUIaqWXCaHmX94n8DIuvldO/sU3Fu497AWRq/X0x0LOOQ2173B1mLL2vUirNM7za+g4UQuPkRYBJtdLMBdPBkvvG7i29Dr/oX09aD64zfbfgPdOHvdsXzz2OzzNmuDsTwPWxWqxtrBJrQuf/3P/bvWU77j61lIpBNP/63QMNWnLiG2/YfhqxSYhAuaCW4vhIDl5sjBGDM8y/QsGHD/Gp165ZCW7dsoUcf+wuNHn2z37FQN0AMXv6yjVUdKrzoqn1pJUcnQLgxexHzonX7NhlVkSAIybGpHOHigNHESNpCqNOL63RiktCStQB51ox3MHMjObc4lzC7Sahcx/IBgLYCmoDDbP6TyyRANABFMfuP8Zfjl7pb2cFZp53OYm51nfvRdmLVxmz/2oF+5Ag/s3cso8mc9fKYw/lMzoM/wiUNutDWo/tdzYyCEQS0BUc5L4Jg1WH750sbNad1bLc/LnO1Z0QRkIRLWbiGDS/CDcIsaCOb/GDWP5QY5DK+UJbQOIi2AWZKiFUOjUBhwniCDMCsAr4CbsKdvU8QqiXhE2YW09lBdCkLTKt5xr84cnjYr+21DoGyJZuXNOW/DtGNaOP+PZb9dLAxCUlI5tnZ9F05rplfcW07SaD//sbTHt/eV9wvMSmDOZnknxC/k8JoAOzti4YBJAD+J42ZBESzDwqIAKJRBUucJRqPq9gJfQPj5uVvIn439Nv/eToTgzBeGteMfqIf6a31aa4z7yB6PdgkpU+95pQU3dAiAbPYdyvcfCx2PIp6XQI7JNWK5/dtDMeeP2KR33CIgmgUJBcNohWhHUTrAlnYcexQsTvr24kAzOt2sxYbJH4aJ+r00ozgXZlaJ559CDJdtbZ3Nu1DiZVrGB2LcT+GxvWgmhdeQHN2zA/4VmASrl/DHnSI8weYnIpBCFLr9aLf0klP7UDzWr1Yy9mPvv9xD4fyXUb7j68K2RSoWlTBJGX1Cjw5wqXceTWsGX2s282AsC0F2oef/nvaD+7ot9uZeBSEO7WbJB047j2hqMRAEC0bSyUGhbiPQgzGfTSeUlJOmxuF05SdGMh5tSun0Kmfq9Cq/Dmyy7dEWLDoiq0oLccc2gwvnk51etD3HMJw9o40owOUNIaXWPtabalxNWSwjGHTmC2+iD/hOt1Km8GW9pCftdgZuEGlGKrIH1TY/+/isG8HeAkzoMKSAMzUwM+gboU61kx+uXMutPwE4C8gRRKzyLYsL+C6tRgHKWKeZO/Xtyzkh6KhgDN4EmPbJroVz2ieoncyJ7tqTqBFuKnZQM4P8QO9sm6GMZoRbFxvbNKTNh3c76oWxyxYR/7gz2AzG7dIIyI8Vjm/PE3P2hQ0LCawgADVuka0L4RnNAvRCJEJH4F8dkTOPVqQxAt1czm0YA77DEixEoBxllIpSFQE51IQADgrwvZ4M8clz2X7+3CyDUskoS71G7ApygkKJYY8+iBagWY8Hsz6ggiEahMuY5AlZlKlyKy/bMvSblqEfYUJSQlb9BQ2QenNAuepH35inLYGJT4YJ6LiVDqvPH3KM+VekZmEJHThMK0/ceCDcEzKRLsTy88IiB20CkhC5fQZEDywjKlU0XI4l312nwR7QqxMToYVigM62hHtwDnn/YamZ2/0HC/8B7o3aET7Th31NBeCM3FKvUaUlsfatqxl0t2AJe7PCNYMdKzdkHOy5AQNWxzQAO/ABABMgjDDj2I3DbJ22P5BG7uZ/RlQcjlj+65fsrbbzY5s1T1X8V5BxnaEpm7H5kj4Pc7JyaRv8jkSWYimR6L5gpkU8tbULl/J8pWAZkF8a2AKdIT9IUL1rYFzs73YTZGieJZ9M2vzNnKo11D6KfenWrkL2MfgG9cgG/DzalWtNn2+Za7xXQ2tebtqdegbNt11Th7hfd+jbhf66SdOErp7kb3r1jpMhjrVuZjO+ZkDNzisAqSymArFRtVirUA6+wadtlCQOs5lufOjqXoUJyes3IETR7anH3/cTz/8tI+++24b/fjTHvru+y1+p/zwYx7XKTB19Dvwy8Zv/y+KLrigIFgHdl10YWvryLnn1iT8nXdODV5W9/kzHDi+3ufLAC3GLQM1KtEvUJaJhRKDMG9jWtoCGjF8GFWpUpXWcJKhwhYQg/GzbyITE29Y82qe1c+xQpQ52wdBqFo+kWcSlxljH4szUzOOfwwtw4o9Kz1JAtqHUF2PBepq5apQnQqx7PhVm3MDHLaShOE47OnDKRD8a3BbKEgSdpTt/7/lbIliBgR/g8IQALyE61uz8wk+p2H0de+JPNYyHOS/A7T10CZfV3OP7Qjw0fAdDLICTQwK0syjNKzSmP//xvIV2HyQk7MdzAo6BiEJiTWa8YxapqupkeSdiDq/EmsQ5roShNub9+Nsp8e5ziJXu9khDduxTX2upwApUVSIs2yHEhbTAsD2D8J5vYqVLcJg222tNuG45EhGhIy/KHZHw8JEKxEiAFOnSjxbtzSPZwe3bwhqcwwiJGEWjzOpCzdSDIR/e7hHcQ6V/BwmfxsIaxXYNhmCnr2IsAffG9iAF/go7LZ8gMIJYwkCiFnpc+jckEgC7nPX2DgWWn6mf69cZgxrK/0UkgBzo6hzLyBkrIWmKFy/ELQHYR33KpQSbvuiGYC5WZ2qFWlC5hpPZ2yQ2xGcQbpGhXI0b2eWa/QazERfGc8zref8lyZsXemqOYIwPLJxB45AFkfrD+6g8VsWGX+vzrGDANjNe2LKV7GCGqCe/f0qOVmc59u37QkZoWVFgaYVz9VuzotQWLMl9LFTrQTWWNXjWWSOzMYCeDgaBemjEGfxtYlhx2qETEWx+9lIfVmKfwS2xbEa17dIRYhkBWTgsvotfPfntQ2zPCPDNeDEhV6EILl6Q0rfvSzgG4p3e+/63eg3/ztBi3b5mwGj/0IIfvghl7YdXI5dAQXagcQayXTi1Gb2F5jpqRmAVUH1qFZUrUJzqnBhDfqBBf+T366xSMDJb83tB1ywCHace24Mncd/555Ti5e1LNIA4tAkvreaEhUBviWlCSUGIdwJiUyUm5tLkyZOpMpVKtMTTzxZaG0BLgligEyBe46soLU5bwS8FOpVu5RqVOlFC7aMDTAvgv/BjR1e5pTkW9i5aZbRxAgahAdSnrVGl31wK7+8ltKGg5sCXnCm4cN5eVTrEaZDYe9bmptOb6x6N+zzoNWoX5Gz7TJhgeOvRApyNjR367SABHHOOkW5PabvO37NwfF58a5lTBQ2e2oU/tHraapyYWWauzOdPs2aQxuPBDrcQavyRu8HaNq2dP5YLSHTTOBzyUNpQMMOND9ngzE5DzqXNuQea+Zu8uY1rkl+UG/akN+RxCZHBBHYY6/ft9fooIn6v0aBwyySIIEItIup68s0DGfd+Lf/5tkF0QrYM7gifOTQWf73zNmIzMx3ZPOdxuwkHP9LKEdnvT/O/7dnJnFnfec2ZmnnXv6kc7e1jUgzMGnawOZMaSwMeZk03d2iG92XPMA6bwHHbg9mQiX3WeLPe5nZoNG3+g2iAYkFibywLcnlgpnzoG5xFDFj6sk5BxBCFwVjaff2y8bLCclBdmIkqoPvRsonrxjr4pmBMzFCw360YTHds+QLYz2YokBzk1q3YFa1xxePuhIC2KkP5Ky4ySxkw2wHhNBZ7lvwr5AinDnPc9vGrPbzqXcaD4PMCllYwBnbTSGUnSfOvuxRv34jMdsmfkaLwuQO5Gr9df6/gzdXz6G/Znzl7EZI20LiB3NySPntut0f/AbvaT2QUmOb0/Ld6+nx5YHfJmA5sml/y3n6kQX+/USH8H0c2PhSmr75kwDHYnx3kYOgbUxHGp/xQECEIXy7m9fqSa1j+lohRedl/snVgRgWBNWiWlCtyslsFlTNh8WmLQPpv/8rWX4G/XpsLlHEoMkJ/5wNPvDOYGVT+cwSM8YzGEZIp5ZpYgCBPpwSzxE5ypcvCNdlP2/a1Kn02YTPaMeO7ZZvASIUjRo5KiTHYxAALYqAIqAIKAKKgCKgCJRVBDDRWRJKccpcJWWMxY1zmSYG4T4goUQZAtkYNWokHTp0kM7Ux8D5kP3ITkDrc96zHIYa174q4N5v2ruI4xxPpytaPUzns+2is8CGXlKs35J0P6vzC8x5nPVkG7b0WYe2+kx8JNLPw53v5RCN/raeck64S1zj1hl3s2lRNaperroVzacc+wKIydKFvO4sok1x7jdtH2EzpafT7mONQn2eka/OcbQLbHULTH8KzoD/APwIghW0deS7Q1Y1MU06ZJko7edwqPs5TOwQKzV9sHZwHONekrucZmybTSOaX0OtajY3nraPTbbgrJzGEaOgLTAVRDVBwrT3xn9IOS+bZ9WmbllJn2an09XxSTQgzhwpC7Pukh0UoQTHDhxlupzrPjgbwkE4n/0C8thcCMmMvIrEI0cdiUkexZmV46udznHgdb7z2EfrllkakMt4lrdngyY+bQfqeT0zd84ZyyEPD/kixcisorP9YNv/XjuDnlo9yYptXr98dV91ydPh28EriEADPwMp0P7AlvnxzoXTxEHzMYtj5UObkHb1g9KscSn3GXH450ydTnlvfWqsJztxX+dvy6KvOfwpyr8GXCGHwlqu5PChUpCn4hgnPfMq4nci/gledU3Hpm5cZ5lIDWVToW6N4C9V0VTN2jc1a43laHw1awcGJLSy9pmeGcxc7+Jn5fY2vT3zCiDc6PCZ/6D+rBkYkch5bS4qMJVx7YDjwEcbZtCbmZMIfkbIxWJKwgiTTBTkUHEWMTmS6G9IsDW8aT9ntZC2EY565b6tlv8CEl6uWLCYcp6fHNK59kpWCF7WKkCzcJzbtPvZ2H1sMMM/9pKb7adydL3t1H/aq9Y+aPCQ50H8d8QUSbI3+53osoF35s3zXg96f6DB/WrHEktDgAz2zgJt+8SsaTQ4ob/1TXQ+MxPWj+XvTlV2zO9h/MZ8vuZpDjWaRK1iejubtrbxzZ+XeSf73nSlhrUG+GkGjCfwzoOHp9DBI5/Qhec3pnLsC3DBBQ3pgvPr02//ryDvgNt5Z7r/5KlMq4lvv11rLU+eWl2wZFOmTRtP0RWDlp7pJYrk/N6VzFgXReOzjswqimZKfBtlmhhAgA+nPPzwIxTPyZOCFWgQbrlldEAo02Dn2Y87XzD2Y5G+rtiYnwDFxYwL9io2ZmwUFzMu+swoLu4IuB/R35MZG8XFjEtp3VumiUFx3ZQTJ05QYpMEq3nnrH+o19QfkjtSio0ZG8XFjAv2KjZmbBQXMy76zCgu7gi4H9HfkxkbxcWMS2ndq8TA5c6JX8H77/8noMae3bspKamdtV+JQQA8Z7xDXzJmCBUXMy7Yq9iYsVFczLjoM6O4uCPgfkR/T2ZsFBczLqV1rxIDlzv31ltv0pNPPE5vvPEW9R9QEAFEqo4fP57uv+8eNSUSQIp4qS8ZM6CKixkX7FVszNgoLmZc9JlRXNwRcD+ivyczNoqLGZfSuleJgcudE2LQKC7OF5oUJkRTpkyxSAFOK2rnY5euRNxufcmYb7niYsYFexUbMzaKixkXfWYUF3cE3I/o78mMjeJixqW07lVi4HLnYC702uuvWXkLEIHIXtq3T6I/3X13keQxsLer6wUI6EvG/CQoLmZcsFexMWOjuJhx0WdGcXFHwP2I/p7M2CguZlxK614lBiHeOWgLUEx5DkJsQqspAoqAIqAIKAKKgCKgCCgCJRYBJQYl9tZoxxQBRUARUAQUAUVAEVAEFIFfDwElBr8e1nolRUARUAQUAUVAEVAEFAFFoMQioMSgxN4a7ZgioAgoAoqAIqAIKAKKgCLw6yGgxODXw1qvpAgoAoqAIqAIKAKKgCKgCJRYBJQYlNhbox1TBBQBRUARUAQUAUVAEVAEfj0ElBj8elh7XglRj1auzKDZs2dTTk4OrVq5kipXqUytWrWmUSNHUZu2bT3PL8sHs7Oz6YMPxiouHjc5LW0B/eGOOwihdQubjduj+RJ5CL+ZN954naZOnUJbt2yhnr1604033nhGYYRL5EAL2alIfCa8oMI79cuJX1rvkTmzZ1kJKlNSUmnI4CER/X5FaO6MjAxatnyZDxuE5G7RsiXdduttVCs62gvWiDom+Y3wrnn//f9E1Njtg8U3+W9/e8q+y2/9qiuvCkgM61dBN0o0AkoMSsjtkRdOlSpVqVv37tSsWTPKzc315VEwZWAuIV0v1m5IlmlcBB+rSy69lDIzM+mLzydY173rj3+ie++9r1j7UJIbh3A8Zsxz9N677/i6GQnEAOO+7toRtGJFOt1w403UIbkDvf32v63tSP2tyAMAbB5++CHfbwT7I+GZkPGblvb3CIS6zp07+71HIvmZGTVqJNmJUmxsrA8bfI9efuUVJdv8UEEY7tE91Xq8Ip0YgGQPHDjA9FOz9j362F9o9OibXY/rgRKOwM9aSgQCb775xs+xMdE/T50yxa8/H330kbUfxyKxCC6PPvqI3/B35+f7cFmZkeF3LJI2UlMv/rlli+Y/Ax88I5HynMh48XxIOX78+M/AAxjg+YjEgnHjecDf88+Piahnwut+y3sE71N7wbtDfjeR+syMHHm9hUFWVpYdmp/vvPMP1v7Bgwb67Y/UDeAgzwowi+QivxssTX+R+lsqK88ElZWBlPZxgBDgRewsEHbkZYQfYKQV+aCbXjTyQbMLh5GGDwRkPCPyosazUtaL/TeBdXsRIu0kkvY6ZXkdwh0IQaQ9E8HuKd4RIEvO5wXnYT9+N85JmWBtlpXjeF5Mv5cFC+b7vj1lZayFHYd8h4RsKzEoINSFxVPPK9kIKDEo2ffH+pDho4WZUC3+CMgMTiQTA0EkkogBBDj8JkwzmYIDhL1IL4JFJJDFM7nXQgyc2oQzabMsnCvEwDRhVRbGF+oYQLbxGwIO8ptSYqDEINTnpzTWUx+DEm7q9dhjj1r242Oef4GGDRtWwnv763UPdtSJTRKsC0ayfbAgbrf5LOv25OKPY7LztT8X6ekZEe04GUnPhPwOwl3a7cbnzltA8fHx4TZRJuvbfXgmT54a0c7Z8MHAb2nR4iWUnZVl2dab3j1l8kFwGZS8W/Dt/XrW13T06FGqWLEidezYiS677DIqX768y5m6uzQgoMSgBN6lv//9eVq/fr0vMtE///FiRL+YTbcIEVdGDB9mRRaZPz/NVCWi9smLGoMu68TgrrvutBxr3RzP68TWtu59pAs0kfRMFPbHLk7JkS7oCX4QglHgjAxMnn3m2Ygm1/J8jPtovOWALb+pSH9eBAc4pw8aPJgqVKhAH4wda0XFaxQXR//+9ztKsuVHVQqXSgyK6Kbhh5LOEVLCKW5e+9OmTqW8/Dz6avp0K8oKfmilmRxghjecksTRh7zCs2I2a8CAS60QlaVZ+Av3mYmpHeMaAk5e1MC5rBMDiaLiFvlCiUHBry2Snolw3i9SF++RLp07WZszZ34d0QKwYCLvavn2QAB++OFHIlLIQxjXvn37WFECX3rpXxZE8puKdGIATdsrr7xMd9zxB9+zgd8Twke/9OI/rQiCX06cJI+VLksZAkoMiuiGiXlDOM2FIsCBJNxyy2gCMy+tHy8R1ELFxk3gk/PFvKq0mxCF+8x4fYzkgwWMQnmuBMvSuFRiENpdi6RnIjRETteym8rIbPDpo7oGBOzfHpjRRJp5iN2ESMYuvymvd3GkPz2tWrawNAdqmld6nwQlBkV07/DCKCqNgbNLIgghXvsTTzzpPFzit2UWKtSOemkMygopABbhPjOqMSh4goRQuX2chYiqj8HpWONlnSyG+m5BPTspKO2TC+GMuzB1hwweFJG5QYQU4R2DnBdSkFsIOWOgxR8+fIS12+t7JedF0lLkFfWLLL13XYlBKbh3wQShUjCEIuliWSIFRQKIrRGZycKusi4E2j/azuyjggM0bGvWrrMhFHmrgkUkPBOh3l0lBaEiVVBP3rnBtLjhtVrya+Md89mEzwI6evTIEYso4f0i5q6a5dcfJiEGkfbM+KNQyrdKYyilsthnhD8zxZLGWLEf4dIiOUSaYOCMNY5txJaO9CJh9CIhNCVyWmCc+HPGpZdQppEeYhG/h0h6JkL5/eNZkRDHzvcI3iHOfaG0WRbq4HfkFvIZ3xyv42Vh/OGMQX5TkfwtBl5ez4QkmQRWWkonAprHoITcN3kBOxN54WMW6XG23UgBbh0+aJH+kgYO8sHCCzsSijwTToFGBD/9KEXeM+H13HuRApyHd4jzWfJqrywdwzvDlCcn65f4/TiOdS2nf1OR/s3BM2HKFSMTMzjmnLTR56f0IKCmRCVE4yPqt/Ycked3v/s9RVWIotmzZ1v2jOgi9n/w4biIcwCTcHFet8nN1tzrnLJyTELbioob4wIeKGU5mghMQhBR5tChgwSVNex83//P+55hTC1QIuBfpD4TXrdWzDG96kSq6YP45OC9ceONN1oQff7559ZvCRul1bfN616He0xMi+Q9azclcpozhtt2aawvzwx8LQYMuIxzCiXS838fY0UKxHjUd6c03tXTfVZicBqLs7qG0Gjz5s/nyEMzrH4gjjTIQMVKlThkWr+ITRoSioOul1PuWb2pv8LF8cFCaFtTGXjZwDIdghHkYMyY52jd2rWW3S8EG7X3LYgmE6nPhOl3gH2hvEci1YkUoScnTZpo5c4BVvLtqVuvHvXp3cc1RDLqRkrxen7cwo6XZWzsz4yQJbx/69atS7fdeluZ/u6U5fsqY1NiIEjoUhFQBBQBRUARUAQUAUVAEYhgBJQYRPDN16ErAoqAIqAIKAKKgCKgCCgCgoASA0FCl4qAIqAIKAKKgCKgCCgCikAEI6DEIIJvvg5dEVAEFAFFQBFQBBQBRUAREASUGAgSulQEFAFFQBFQBBQBRUARUAQiGAElBhF883XoioAioAgoAoqAIqAIKAKKgCCgxECQ0KUioAgoAoqAIqAIKAKKgCIQwQgoMYjgm69DVwQUAUVAEVAEFAFFQBFQBAQBJQaChC4VAUVAEVAEFAFFQBFQBBSBCEZAiUEE33wduiKgCCgCioAioAgoAoqAIiAIKDEQJHSpCCgCioAioAgoAoqAIqAIRDACSgwi+Obr0BUBRUARUAQUAUVAEVAEFAFBQImBIKFLRUARUAQUAUVAEVAEFAFFIIIRUGIQwTdfh64IKAKKgCKgCCgCioAioAgIAkoMBAldKgKKgCKgCCgCioAioAgoAhGMgBKDCL75OnRFQBFQBBQBRUARUAQUAUVAEFBiIEjoUhFQBBQBRUARUAQUAUVAEYhgBJQYRPDN16ErAoqAIqAIKAKKgCKgCCgCgoASA0FCl4qAIqAIKAKKgCKgCCgCikAEI6DEIIJvvg5dEVAEFAFFQBFQBBQBRUAREASUGAgSulQEFAFFQBFQBBQBRUARUAQiGAElBhF883XoioAioAgoAoqAIqAIKAKKgCCgxECQ0KUioAgoAiUcgezsbJo0aSItWriQVqxIp/btk+j119+gWtHRvp7v2b2bXnv9NZo0cSLdfscdNHr0zb5juqIIKAKKgCKgCHghoMTACx09pggoAopACUHgrbfepK+mT6e69erR/Hnz6NChg1bP7vrjn+jee++z1qdNnUq33DLar8e7cvP9tnVDEVAEFAFFQBFwQ0CJgRsyul8RUAQUgRKKQFraAhoxfJjVO2gNvpw4iaBN6NE9lcY8/wIdP36MFi9eTH379qNhwwrqldChaLcUAUVAEVAEShACSgxK0M3QrigCioAiECoCdWJr+6qmp2fQ0GHX0PDhI0IyHTpx4gRNmTJFSYMPQV1RBBQBRUARAAJKDPQ5UAQUAUWgFCIwatRImjN7ltXzRnFxVL9+A3r//f94jgSE4KOPxtGrr7ximSKpmZEnXHpQEVAEFIGIQ0CJQcTdch2wIqAIlAUE4HPw5BOP+4Yyd94Cio+P9207V8aPH09vvvk6HT502OefoMTAiZJuKwKKgCIQ2QgoMYjs+6+jVwQUgVKKgN3PoGev3kG1BfBBAHEAQbj/vnusUSsxKKU3X7utCCgCikAxIaDEoJiA1WYVAUVAEShOBGAWlNgkwbpElSpVac3adSFdbtXKlTRw4ACrrhKDkCDTSoqAIqAIRAwCSgwi5lbrQBUBRaAsIWDXGGBccEC25zNwG6sSAzdkdL8ioAgoAoqAEgN9BhQBRUARKGUIQFvQpXMnq9eSz2DcR+MpJSU16EiUGASFSCsoAoqAIhCxCCgxiNhbrwNXBBSB0ooAIhIdPXKErr5mqM9fwJ7ozGtcSgy80NFjioAioAhENgJKDCL7/uvoFQFFoJQhAOfhZ595miZ8/gVFlS9PSUntrBHYHZChUVgwfz71H1DgS2AfohIDOxq6rggoAoqAImBHQImBHQ1dVwQUAUWgBCMg2Y3feOMtn9DfrVsKbd2yxeo1/AzKR0XRmDHPUWxsrDHZmRKDEnyDtWuKgCKgCJxlBJQYnOUboJdXBBQBRcANAXEwbt8+yTIb+vSTj6lFy5b0xBNP+k557LFH6b1337G2UU/KBx+Oo/KsUXAWJQZORHRbEVAEFAFFQBBQYiBI6FIRUAQUgRKGgF3oR9cg+DsFftEiSNcRuhRmRm7JzpQYCFK6VAQUAUVAEXAioMTAiYhuKwKKgCJQQhDYs3s3PfPsM3T06FHq3LkzDR8+wqgF+Pvfn6f169dbdQZeNtAzbKkSgxJyc7UbioAioAiUQASUGJTAm6JdUgQUAUWguBBQYlBcyGq7ioAioAiUfgSUGJT+e6gjUAQUAUUgZASUGIQMlVZUBBQBRSDiEFBiEHG3XAesCCgCkYwAwp3ef989FgSTJ0+lNm3bRjIcOnZFQBFQBBQBGwJKDGxg6KoioAgoAmUVAWgKXvrXSzRn9izfEBvFxVGrVq1p1MhRShB8qOiKIqAIKAKRi4ASg8i99zpyRUARiCAE4Mi8m/9MJTo62tNh2XSO7lMEFAFFQBEoewgoMSh791RHpAgoAoqAIqAIKAKKgCKgCISNgBKDsCHTExQBRUARUAQUAUVAEVAEFIGyh4ASg7J3T3VEioAioAgoAoqAIqAIKAKKQNgIKDEIGzI9QRFQBBQBRUARUAQUAUVAESh7CCgxKHv3VEekCCgCioAioAgoAoqAIqAIhI2AEoOwIdMTFAFFQBFQBBQBRUARUAQUgbKHgBKDsndPdUSKgCKgCCgCioAioAgoAopA2AgoMQgbMj1BEVAEFAFFQBFQBBQBRUARKHsIKDEoe/dUR6QIKAKKgCKgCCgCioAioAiEjYASg7Ah0xMUAUVAEVAEFAFFQBFQBBSBsoeAEoOyd091RIqAIqAIKAKKgCKgCCgCikDYCCgxCBsyPUERUAQUAUVAEVAEFAFFQBEoewgoMSh791RHpAgoAoqAIqAIKAKKgCKgCISNgBKDsCHTExQBRUARUAQUAUVAEVAEFIGyh4ASg7J3T3VEioAioAgoAoqAIqAIKAKKQNgI/D911cqPt+OdUQAAAABJRU5ErkJggg==" } }, "cell_type": "markdown", "id": "b8a3a805", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "![brute.png](attachment:brute.png)" ] }, { "cell_type": "code", "execution_count": 29, "id": "a171712d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "array([1.47586906, 1.48365787])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# x_opt = optimize.fmin_bfgs(f, x_start)\n", "result = optimize.minimize(f, x_start, method= 'BFGS')\n", "x_opt = result.x\n", "x_opt" ] }, { "cell_type": "markdown", "id": "66bba5df", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Constrained Optimization\n", "We omit the Nonlinear Least Square Problems" ] }, { "cell_type": "markdown", "id": "49435f0f", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ f(x) =(x_1-1)^2-(x_2-1)^2 $$\n", "$$2\\leq x_1\\leq 3$$\n", "$$0\\leq x_2\\leq 2$$" ] }, { "cell_type": "code", "execution_count": 51, "id": "52bc5724", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "array([[0.25],\n", " [0.75],\n", " [3.75]])" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def f(X):\n", " x, y = X\n", " return (x - 1)**2 + (y - 1)**2\n", "bnd_x1, bnd_x2 = (2, 3), (0, 2)\n", "x_cons_opt = optimize.minimize(f, [1, 1], \n", " method='L-BFGS-B',\n", " bounds=[bnd_x1, bnd_x2]).x\n", "x" ] }, { "cell_type": "markdown", "id": "4cbdc952", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Sequential least square programming (序列最小二乘规划)\n", "$$ \\max f(x) = x_1x_2 x_3 $$\n", "\n", "$$ g(x) = 2x_1x_2+2x_0x_2+2x_1x_0-1=0 $$" ] }, { "cell_type": "code", "execution_count": 52, "id": "005868de", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "def f(X):\n", " return -X[0] * X[1] * X[2]\n", "def g(X):\n", " return 2 * (X[0]*X[1] + X[1] * X[2] + \n", " X[2] * X[0]) - 1" ] }, { "cell_type": "code", "execution_count": 53, "id": "3faf5e02", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ " fun: -0.06804136862287297\n", " jac: array([-0.16666925, -0.16666542, -0.16666526])\n", " message: 'Optimization terminated successfully'\n", " nfev: 77\n", " nit: 18\n", " njev: 18\n", " status: 0\n", " success: True\n", " x: array([0.40824188, 0.40825127, 0.40825165])" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "constraint = dict(type='eq', fun=g)\n", "result = optimize.minimize(f, [0.5, 1, 1.5], \n", " method='SLSQP',\n", " constraints=[constraint])\n", "result" ] }, { "cell_type": "code", "execution_count": 54, "id": "891159cf", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ " fun: 0.566916419814267\n", " jac: array([-0.06284686, 1.50456505])\n", " message: 'Optimization terminated successfully'\n", " nfev: 25\n", " nit: 8\n", " njev: 8\n", " status: 0\n", " success: True\n", " x: array([0.96857656, 1.75228252])" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def f(X):\n", " return (X[0] - 1)**2 + (X[1] - 1)**2\n", "def g(X):\n", " return X[1] - 1.75 - (X[0] - 0.75)**4\n", "constraints = [dict(type='ineq', fun=g)]\n", "x_cons_opt = optimize.minimize(f, (0, 0), \n", " method='SLSQP',\n", " constraints=constraints)\n", "x_cons_opt" ] }, { "cell_type": "markdown", "id": "ca8b2868", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Linear Programming\n", "simplex or interior point\n", "\n", "$$ \\min_c c^T x\\ s.t. Ax\\leq b, x\\geq 0$$\n" ] }, { "cell_type": "markdown", "id": "a7c0698d", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$A = \\left(\n", "\\begin{matrix}\n", "1 & 1 & 0\\\\\n", "-1 & 3 & 0\\\\\n", "0 & -1 & 1\n", "\\end{matrix}\n", "\\right)\n", "$$\n", "$$c =(-1,2,-3),b=(1,2,3)$$" ] }, { "cell_type": "code", "execution_count": 39, "id": "cd0119e8", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "c = np.array([-1.0, 2.0, -3.0])\n", "A = np.array([[ 1.0, 1.0, 0.0],\n", " [-1.0, 3.0, 0.0],\n", " [ 0.0, -1.0, 1.0]])\n", "b = np.array([1.0, 2.0, 3.0])" ] }, { "cell_type": "code", "execution_count": 41, "id": "1acb2006", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal solution found.\n" ] } ], "source": [ "A_ = cvxopt.matrix(A)\n", "b_ = cvxopt.matrix(b)\n", "c_ = cvxopt.matrix(c)\n", "\n", "sol = cvxopt.solvers.lp(c_, A_, b_)" ] }, { "cell_type": "code", "execution_count": 42, "id": "56124e0f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "{'x': <3x1 matrix, tc='d'>,\n", " 'y': <0x1 matrix, tc='d'>,\n", " 's': <3x1 matrix, tc='d'>,\n", " 'z': <3x1 matrix, tc='d'>,\n", " 'status': 'optimal',\n", " 'gap': 0.0,\n", " 'relative gap': 0.0,\n", " 'primal objective': -10.0,\n", " 'dual objective': -10.0,\n", " 'primal infeasibility': 0.0,\n", " 'primal slack': -0.0,\n", " 'dual slack': 0.0,\n", " 'dual infeasibility': 1.4835979218054372e-16,\n", " 'residual as primal infeasibility certificate': None,\n", " 'residual as dual infeasibility certificate': None,\n", " 'iterations': 0}" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sol" ] }, { "cell_type": "code", "execution_count": 44, "id": "3e15047c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "array([[0.25],\n", " [0.75],\n", " [3.75]])" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.array(sol['x'])\n", "x" ] }, { "cell_type": "code", "execution_count": 45, "id": "5fa8073e", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle -10.0$" ], "text/plain": [ "-10.0" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sol['primal objective']" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }