{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# More with the Definite Integral\n", "\n", "$$\\int_a^b f(x) dx = \\lim_{n \\to \\infty}\\sum_{i = 1}^n f(x_i^*) \\Delta x$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**WARM UP**\n", "\n", "1. Evaluate the following definite integral. Interpret the integral as an area, and describe the region with a graph.\n", "\n", "$$\\int_{0} ^4 8x^3 - x^2 dx$$\n", "\n", "2. Suppose the function $8x^3 - x^2$ represents the velocity of a car in miles per hour at a time $x$. Interpret the integral: $\\int_{0} ^4 8x^3 - x^2 dx$\n", "\n", "3. Suppose the function $8x^3 - x^2$ represents the rate at which water flows through a canal in ft$^3$. Interpret the integral: $\\int_{0} ^4 8x^3 - x^2 dx$." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### More Rules of Integrals\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Your goal is to identify the appropriate rule to use for evaluating the given integral and then try to evaluate given definite integral. Plot the results and interpret the answer as an area under the curve.\n", "\n", "1. $\\displaystyle \\int_0^{3\\pi} \\sin(x) dx$\n", "\n", "2. $\\displaystyle \\int_0^4 \\cos(x) + x^2 dx$\n", "\n", "3. $\\displaystyle \\int_1^{10} \\ln(x) - 2^x + 4$" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Computing Solutions\n", "\n", "We can use our computer to evaluate definite integrals. Consider the definite integral:\n", "\n", "$$\\int_0^4 x^2 dx$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import scipy.integrate as integrate" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 4, 1000)\n", "def f(x): return x**2" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(21.333333333333336, 2.368475785867001e-13)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "integrate.quad(f, 0, 4)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def f(x): return np.sin(x)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2.221501482512777e-16, 4.3998892617845996e-14)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "integrate.quad(f, 0, 2*np.pi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pure Symbolic Computing\n", "\n", "This is the other side of the coin from using something like a Riemann sum, and we are dealing with symbols as opposed to numbers here. Accordingly, we introduce the symbolic representations using the library `SymPy` that is used for symbolic computing in Python. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import sympy as sy" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "#define the symbol\n", "x = sy.Symbol('x')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "#define the function\n", "def f(x): return x**2" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{64}{3}$" ], "text/plain": [ "64/3" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#evaluate the integral \n", "#format is (function, (with respect to, start, stop))\n", "sy.integrate(f(x), (x, 0, 4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\int_2^5 x^3 - \\cos(x) + \\ln(x) - e^{4x}$$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "##similar to with numbers(NumPy)\n", "def f(x): return x**3 - sy.cos(x) + sy.log(x) + sy.exp(4*x)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - \\frac{e^{8}}{4} - 2 \\log{\\left(2 \\right)} + \\sin{\\left(2 \\right)} - \\sin{\\left(5 \\right)} + 5 \\log{\\left(5 \\right)} + \\frac{597}{4} + \\frac{e^{20}}{4}$" ], "text/plain": [ "-exp(8)/4 - 2*log(2) + sin(2) - sin(5) + 5*log(5) + 597/4 + exp(20)/4" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sy.integrate(f(x), (x, 2, 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Application I: Area Between Curves\n", "\n", "Consider the functions $f(x) = x^2$ and $g(x) = \\sqrt{x}$. How might we compute the area between the curves?\n", "\n", "
\n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A Creative Exercise\n", "\n", "Definite Integral Art: Determining a beautiful region and its area." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "from ipywidgets import interact\n", "import ipywidgets as widgets\n", "def fun_plotter(a, b, c, d, e):\n", " def f(x): return a*x**2 + b*np.sin(c*x - d*x**2) + e\n", " def g(x): return a*x**2 - b*np.sin(c*x - d*x**2) - e\n", " x = np.linspace(-2, 2, 1000)\n", " plt.figure(figsize = (15, 6))\n", " plt.plot(x, f(x), color = 'black')\n", " plt.plot(x, g(x), color = 'black')\n", " plt.fill_between(x, f(x), g(x), where = (f(x) > g(x)), color = 'green', alpha = 0.4)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "interact(fun_plotter, \n", " a = widgets.IntSlider(1, min = -3, max = 3),\n", " b = widgets.IntSlider(1, min = -3, max = 3),\n", " c = widgets.IntSlider(1, min = -3, max = 3),\n", " d = widgets.IntSlider(1, min = -3, max = 3),\n", " e = widgets.IntSlider(1, min = -3, max = 3));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Functions in Higher Dimensions" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection = '3d')\n", "ax.set_xlabel('X', fontsize = 17, color = 'red')\n", "ax.set_ylabel('Y', fontsize = 17, color = 'red')\n", "ax.set_zlabel('Z', fontsize = 17, color = 'red')\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(-3,3,100)\n", "y = np.linspace(-3,3,100)\n", "def f(x,y): return -(x**2 + y**2)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-20" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f(2, 4)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection = '3d')\n", "ax.plot(x, y, f(x, y))\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X, Y = np.meshgrid(x, y)\n", "Z = f(X, Y)\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection = '3d')\n", "ax.plot_surface(X, Y, Z)\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X, Y = np.meshgrid(x, y)\n", "Z = f(X, Y)\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection = '3d')\n", "ax.contourf(X, Y, Z, zdir = 'x')\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X, Y = np.meshgrid(x, y)\n", "Z = f(X, Y)\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection = '3d')\n", "ax.plot_wireframe(X, Y, Z)\n", "ax.contour(X, Y, Z, zdir = 'x', offset = -3)\n", "ax.contour(X, Y, Z, zdir = 'y', offset = 3)\n", "ax.contour(X, Y, Z, zdir = 'z', offset = -18)\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1, 'Heights of Rectangles on a Grid')" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "grid = np.linspace(-3, 3, 10)\n", "X, Y = np.meshgrid(grid, grid)\n", "a = np.random.randint(1, 6, 64).reshape(8,8)\n", "plt.figure(figsize = (6,6))\n", "sns.heatmap(a, annot = True, \n", " linewidths = 0.5, cmap=\"BuGn\", \n", " cbar = False, \n", " square = True)\n", "b, t = plt.ylim() # discover the values for bottom and top\n", "b += 0.5 # Add 0.5 to the bottom\n", "t -= 0.5 # Subtract 0.5 from the top\n", "plt.ylim(b, t)\n", "plt.tight_layout()\n", "plt.title('Heights of Rectangles on a Grid')" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'top' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m-----------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in 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cxN3dXV2Pp9frS6WeM5kMbm5ucHd3B57n6fdKWg4tNxDNETcqSp1kKBaLiEQiePHiBXp6ekp/LneQUC0NTSlqZVgsFgwMDCAUCuH8/Bybm5sQBAEsy8Ltdte816D8ZAS1ryatioIEoiniUcdisSh51HF5eRk+n++Tjo9yU1vmgvySTqeD2+2G2+0uNZja29uDy+UCy7J1N5gCqH01aT0UJBDNEAQBPM9XPOq4vb0No9GIvr6+T36mxKRd7XoUQKhDeYOp09NTrK+vQ6fTlRpM1Tq5U/tq0mooSCCaUe0kQyKRwPX1NWZmZiT/rZq+2dO3SvXR6XTwer3wer24u7tDLBa712BK3NvyVNS+mrQKChKIJlQLEC4vL7G3t4fZ2dmKN1417Ukg6tbV1YWXL1+WGkwtLy/DZDKB4zg4HI66ijRR+2qiVRQkENWrdtQxlUphdXUVMzMzjxbNUctyg5qyGqSy8gZT5SWgvV4v/H5/QxpMiXsXqH01USsKEoiqid++pAKEfD6PSCSCiYmJRzebyX3zpUCgtfT09GB0dPReg6mOjg5wHAebzdaw7AK1ryZqQ0ECUa1qTZuKxSIWFhYwODgIm8326GPRpE0aobzB1M3NDWKxGDY3N+H3++Hz+eoqAS3VvtpoNMJsNlODKaI4ChKIKj121HFtbQ29vb3w+XxPejwlMgnVfkYBi7YxDAObzQabzYZ8Pl8qAd3T01NqMFXr45X3+RBPRlD7aqI0ChKI6jx21HF/fx+CIGBgYKDmx5UTBQLtQTx2GwwGcXV1hYODA2QyGbAsC6/XW3M24GF2IRaLQRAE+P1+al9NZEdBAlGdQqFQ8STDyckJTk9P8fbt25rXgdV0uoECiNZT3mAqm80ikUhgbm4ONpsNHMehu7u75sdjGAbZbLZUpIkaTBG5UZBAVIXn+YonGW5ubrC1tYXZ2dm6SuiqJZNAN/bWZzab0d/fj1AohIuLC+zs7IDn+VIJ6FqyAWKbcWpfTZRAQQJRjWpHHTOZDJaWlvDmzRsYjcaaH1ttmQTSHsQGU06nE5lMBvF4HO/fv4fT6QTLsujs7Hz0Mco37lL7aiI3ChKIKlQ76sjzPCKRCF69eoWuri6FRlg7qpOgDmp5rS0WCwYHB9Hf34+zszN8/PgRgiCA4zi4XK6K2QAxk/BQ+d6F8mJjlF0gjURBAlFctaOOgiBgcXERwWAQvb29dV+DMglELXQ6HTweDzweD1KpFOLxOHZ3d0sloC0Wy72//9j7trzBVHl2ofwYJb0fSb0oSCCKqnbUEQA2NjZKx8qeg/YktK9K38TVoLOzE8PDw6UGU6urqzAYDGBZ9l6DqaeOv1L7arEENGUXSK0oSCCKeeyo4+HhITKZDKampp59LTXVSQDUkwIn6qDX6+Hz+eDz+ZBMJhGPx7GzswOPx4NCoVB3gyngF3t9KLtA6kVBAlFMtaOOZ2dniMfjCIfDDbuZKZVJoD0IpBbd3d2lBlPHx8fY3d0tlWuutcEUcL99dXl2gdpXk6egIIEoolAoVDzJkEwmsbGxgXA43LDCMWrak0BBg7zUvNxQjV6vB8uyyGaz0Ol0OD4+xtbWFnw+X6mwUi0eZhfS6XSpwRS1ryaVUJBAZMfzPFKplGSb3Fwuh8XFRUxOTtacYq2GYRgUi8WGPd5TUCBAGkEQBHR2diIUCoHneRwdHSESiaCrq6tUAvo52YXyEtDUvpo8REECkZUgCDg9PcXR0RHGxsbu/axQKGB+fh4vXrxAT09PU64tF7rJqkcrBGvi+8lgMCAQCIDjOFxfXyMajSKdTpf2MzSiwRS1ryblKEggshG/tVT62fLyMvx+P9xud8OvrcSNjuokqIeWJzqp5RKGYWC322G325HL5XB0dIQPHz7AarWC47iag+xq7aspu9DeKEggshA3TYlHHR+m/re3t2EymdDX19eU69PETLTqsT0V4ucmGAzi8vISe3t7yOVy8Pv9DWkwJfaMEE9GUHahvVCQQGTB8zwKhcK9byuieDyO6+trzMzMNO36SmxcrHY9Cljko9WNi6KnvlcYhkFvby96e3uRzWYRj8cxNzcHu90OjuNqrlYq1b5azC6IJyO0/LqSp6EggTRdeclY8T/ije/y8hL7+/uYnZ1t6g1HTTczNY2FaEOt7xmz2YyBgQH09/fj/PwcW1tbKBQK4DgObre7rgZpD/cuMAxz72QEaU0UJJCmkmraJAYJqVQKq6urmJmZqXnDVT3UlEkg5KmekwlhGAYulwsulwvpdBrxeBx7e3twOp3gOA4dHR01P155diGbzZYaTFksFmow1YIoSCBNUywWkc1mP6mFwDAMCoUCIpEIJiYmar5R1UNNk7aaxtIOWmG5oRHj7+jowNDQEAYGBnB2dob19XUwDAOO4+B0Op+dXbi7uys1mDIajZRdaBEUJJCmKD/J8PAGJwgCrq6uMD4+DpvNJst41LYngZCnanSQU95g6u7urtRgyuVySTaYeszD7IK40ZHaV7cGChJIwz3W1VE8yeD1ehUaIWknrZBJaJauri68ePEChUIBJycnWFlZgdFoBMdx6O3trfl1YxgGBoMBgiCgUCggmUyW/qyzs5NKQGsQBQmkocqPOkrdYPb29gCg5m8rz6WmTAJlGUitmh3k6PV6+P1++P1+JJNJxGIxbG9vw+v1wu/3w2Qy1fR45XUXstlsqYoqZRe0h4IE0lDlRx0f3gSOj49xdnaGiYkJrK6uyjoumpiJVsmdCenu7sbIyAh4nsfx8TEWFxdhsVjAcRzsdntdY9HpdNDpdPdOOpnNZmpfrQEUJJCGeXjUsdz19TW2t7cxOztb2ugkJzW1iqZvUPJqheUGJcZvMBjAcRxYlsXt7S1isVipwZTP53tygylx/NS+WpsoSCANIXXUUZTJZLC8vIzp6WkYjUbk83lFxqhUq2hCnkPpIIdhGFitVlitVuTz+ZobTEmNn9pXawcFCeTZisUicrmcZIDA8zzm5+cxNjaGzs5OAMp0ZFRTq2giL6Un2edSU7BpNBoRDAYRCARwdXVVajAlloCWqndSaX8SQO2rtYCCBPIsj51kWFxcRCgUgsPhKP25EvsDlLimeL2TkxPo9Xo4HA664ZG6qO19wzAMHA4HHA4HcrkcEokEPnz4AJvNBo7j0N3dXfq7UvcGKVLtq8tLQFN2QRkUJJC6VQsQAGBjYwM9PT1gWfben7fDJkLxpn58fIxoNAqLxYLt7W34/X74fD6FR0e0RO2ZEJPJhFAohL6+PlxcXGBnZwf5fB4sy8Lj8dQ8/vIiTWJl1ocloNX8erQaChJIXQRBAM/zFVOJh4eHyGQymJqa+uRn7ZJJSKVSSCQSmJ6eLu3sFr9xZbNZ3N3d1dx0h9RO7ZPsY7QyfoZh4HQ64XQ6kclkkEgkMDc3h66urro+e9S+Wh0of0PqUu0kw9nZGeLxOF6/fq2aD7HcQUKxWMTBwQEmJydLu8CNRiP6+vowOzsLg8GAra0tzM/P4/T0VPY9GkQ7tBIklLNYLBgYGEA4HEZ3dzeur68xPz+Pk5OTut7rYnZBbDOfSqVwfX2NVCqFQqHQ8plJJVEmgdSsWoCQTCaxsbGBcDhcsXa7Ejc8OYOEYrGIeDwOn8+H7u5u8Dz/yVgMBgOmpqaQSqUQi8Wwu7sLj8cDlmVrLlxDqtP6BKLl8et0OlitVrjdbgSDwU9KQNfbYEoqu0Dtq5uDggRSk2pHHXO5HBYWFjA1NQWz2azQCKXJeeNYW1tDd3c3rFbro3+3s7OzVBb36OgIi4uL6OzsRCAQeNK/J0+j9YlDy+MX9yyVN5g6PT3F2toa9Hp9qcFUPSWgqX1181GQQJ6s2lHHQqGA+fl5jIyM3NvZrCZyfCM7ODhAoVCAw+Go6XrizZJlWVxfX+Pg4ADZbLa0+YtueO1Li8sN5R6OX6fTwev1wuv14u7uDrFYDDs7O3C73WBZtuYvGNS+urkoSCBPIhY9qXTUcXl5GX6/Hy6XS6ERVifHcsP5+TkSiQTC4TAODw/regyGYWC322G325HNZhGPx/H+/fu607Ok9SZZrak2/q6uLrx8+bLUYGp5eRkmkwkcx9V1ZJjaVzceBQnkUeLaX7FYlDzquLW1BZPJhL6+PgVG9zTNDhJSqRTW19fx9u3b0o3oudczm80YGBhAKBQqpWcNBgMCgQDVXGgjWt6TADwtyClvMCVVArreBlPi9al9df0oSCBVPXbUMR6P4/b2FtPT0wqMTh14nsfCwgImJiaa0t2yPD0r3kC3t7fh8/ng9/slq9yR1qLlCa3WTEhPTw9GR0fvNZjq6OgAx3Gw2WwNaV8tloCmBlOPo7sLqapQKFQ8yXB5eYn9/X3Mzs6q/ibWrExCeVVJm81W8XqNShmLN9B8Pl+1yh35pVZO12tBpQzkY8obTN3c3CAWi2Fzc7NUkKzW4PjhyQixwRRlF6qjIIFUxPN8xZMMqVQKq6urePv2rSa+yTYrSNjc3ER3d7dkVclmEmsuBINBXFxcYHt7G8ViERzHweVy0bejFqPlyeu5QQ7DMLDZbLDZbPeC456enlKDqXoeU9y7QO2rq1P/3Z0ootpRx3w+j0gk0rT0ejM0I0hIJBJIJpMVl1rkWEsur3KXTqcRi8Wwt7dHNRfKaH1NX+samQkpD46vrq5wcHCATCYDlmXh9Xpr3phY3mCqPLtA7at/iYIE8glxo6JUgFAsFhGJRDA0NHQvvd5urq+vsbe3p6qllo6ODgwPD6NQKNxbyxVrLqhlnEpo5+eutGYsl5Q3mMpms6US0Ha7HSzL1rX0Vp5dKG9fLdZdaNfsAgUJ5J7Hujqurq7C5XLB6/UqNML6NDKTkM1msby8jOnp6YpLLUo2sdLr9WBZFn6/Hzc3N6V2vvV+2yLkOZ7aBbJeZrMZ/f39CIVCpQZTPM+DZVm43e5nZReKxWIpu1AoFGCz2douu0BBAil57Kjj3t4eAKC/v1/egTVAoybtQqGASCSC0dFRdHZ2Nv16z1G+livWXJibm0Nvby84jmubmgta3/indcViUZbA9GGDKbHGiNPpBMuyVT+vlZS3r56bm8PMzEzbta9u/WdInuSxo47Hx8c4OzvD2NhY295wBUHAysoK/H4/nE7nk/6+Wog1F8LhMKxWK9bW1rCwsIDz83NVjZO0nmZnEqRYLBYMDg5idnYWVqsVHz9+RCQSeVaDqfKjlOl0Gjc3N/j+97+PTCbThGegHpRJIACqH3W8vr7G9vY2ZmdnG/phl/MbXiO+2e/t7UGv16u6aNRjdDodPB4PPB4PkslkqeaCeKxM7FjZato1sFUDJTM55e/3VCqFeDyOvb29UgXTejZel2cX/uVf/gVf//rXNbOBux4UJBAUCoWKJxkymUxp/b2RE4jcN43nBgmnp6c4PT1FOByW5Xpy6O7uxsjICPL5PI6OjjA/Pw+r1YpAINBSNRfU/ntodWpZ7uns7Cxt7D09PcXq6ioMBgNYln20wZTUe4hhGOTzedU1s2s0ChLaXLWmTTzPY35+HmNjY3Wt5z1GK5mEZDKJjx8/NjyTohZGoxHBYBCBQODexq9AIEA1F8izqSVIEOn1+lK552QyiXg8jp2dHXg8Hvj9fslJv9IyLM/zLb8RmIKENiYIAra2tuB2uz8JAsorCTocjoZfW6x6Jpd6b1L5fB6Li4uYnJysqeaAFjIJD0nVXNjd3S3VXNAqtU1S7abSBKsG3d3dpQZTx8fHWFpagsViAcuy9/qjVNtX0epBNAUJbUo8yXBzcwO73f7Jzzc2NtDT09PUyUHuSbTW6xWLRSwsLGBoaAg9PT1NGpU6iTUXBgYGcHJygqWlJfA8D4vFArvdrtqbPlEfJTYu1ko8NlxeAnp7exterxd+v18Tz6FZKEhoQ2KxEPGo48PJ8+DgANlsFpOTk00bg06nq2uXcb3q+Wa/sbEBh8NRV02I8klUyxOq2J3P5/NhZWUFZ2dnOD4+1lTNBcokKEtrr7/VaoXVagXP8zg6OkIkEoHFYgHP85p7Lo3QnqFRGxOPOhYKhdI+hPLJ8+zsDIlEAhMTE039MCixcbEW0WgU2WwWg4ODdV9Ta8sN1Yh17fv7+zE5OYlcLoe5uTlsbm4ilYz7lBsAACAASURBVEopPTyiYlqdWMW27OFwGB6PB9lsFnNzc4hGo0gmk49+vn//938fHo8HExMTkj8XBAF/8id/guHhYUxOTuLDhw/NeBrPRkFCm3l41JFhmNI3enGD3vT0dNO/IZZfV20uLy8RjUbx+vXrum9uWtyT8FQmkwn9/f0Ih8Ow2WzY2NigmgukIq0GCSKGYdDd3Q2bzYbJyUmk02l89atfxbe+9S2YzeaKz+1b3/oWfvKTn1R83B//+MfY3NzE5uYmvvOd7+AP//APm/UUnoWChDYi1bRJXG7IZrNYWFioeYNevdR600in01hdXcXU1JQmUulKEs+gT09PY2hoCGdnZ3j37h0ODg6Qz+eVHl6J1icprVPzxsWnEvckmEwmvHjxAj//+c/x9a9/HQcHB/jKV76C7373u59k1H7t134Nvb29FR/zhz/8IX7v934PDMPgy1/+Mq6urpBIJJr9VGpGQUKbKBaLyGaznxx1ZBimVGp4ZGREtvPxaswk8DyPSCSCsbGxZ5cs1vpNsVZizYWZmRkwDINIJIK1tTXc3t4qPTSisFbY9PewVL1er8dv//Zvw+v14t///d8RjUbx5S9/Gd/+9refHCDHYjEEg8HS/w8EAojFYg0f+3PRxsU2UK2rI/CLSoIsy8Llcsk2JrVNooIgYHl5GcFgsGFHPtsx9W4wGEo1Fy4vL7G7uwue58FxHNxut+YnC7m1wnuoFTI5Us+hUChAp9OBZVn82Z/9Gf70T/8U//u///vkonOVCjSpDQUJLa5aV0cAuLq6Kt3Y5aamTMLOzg4sFgsCgUBDHq+V9yQ8BcMw6O3tRW9vL9LpdKkcrtvtBsdxslapa4VJSsta4fWXanqXy+XuvY8NBgO++tWvPvkxA4EADg8PS/8/Go2qsh4JhfUtrPyoo9SHNB6PI5vNwu/3yz42NX2jPD4+xuXlJV6+fKn0UFpSR0cHhoaGEA6H0dHRgeXlZSwvL+Pq6qqtA6mnaIUJthWeg1SQkM1mn1Wq/mtf+xq+//3vQxAE/OxnP4PNZlPkXvwYyiS0sIdHHctdXl5if39f0chVDRPE7e1tU5pXaf2m2AxizQW/34+bmxtEo1Fsbm6CZVn4fL6mbRTV8iSl5bGLWmFPgtTv4WEm4aFvfvOb+O///m+cnZ0hEAjgr/7qr0r7Ff7gD/4An332GX70ox9heHgYnZ2d+O53v9vU51AvChJaFM/zFbs6plIprK6u4u3btzg6OlJkspa7LLOUXC6HxcVFTE1NNaX7odLPT82sVivGxsaQy+UQj8cxNzcHh8MBjuOa0idEq1rhPdQKpxsqLTdUOwn2+eefV31MhmHwz//8zw0ZXzNRkNCCpI46ivL5PCKRCCYmJmCxWGSvfFhOyRtgsVhEJBLBy5cvm3Ki4yk3xVb4lvhcYs2Fvr4+nJ+fY2NjAwzDIBAIPNqZr11o/TVohfe5VKDzWJDQKihIaDGVjjqKP4tEIhgaGoLNZgOg3AY7pYOT1dVVeDweuN3upl6HPI1Op4Pb7Ybb7cbd3R1isRh2dnbg8/ng9/uflenR8iSl5bGLWuU5PLZxsVVRkNBCxJMMwKffPsSJ0eVy3etFoFS9AiVvGoeHhxAEAaFQqGnXoExC/bq6uvDy5ct7tfO7u7sRCATartFWK7xHWuE5VNq4SJkEohmPHXXc29sDAPT399/7c51OB57nZRjhp5QITs7Pz5FIJDA7O9v0G1e1TILWb5pyEGvncxyHy8tL7O3tIZfLgeM4eDwezW+Ge4pWmGBb5Tk8fL/l83kKEog2PHbU8fj4GGdnZ3j79u0nP1cqk6DEDb5YLGJ9fR3hcLjp19f6TVFNymsuZDIZxGIxvHv3Dm63GyzLwmKxVP33rTBJaZ3WX/9isQiD4f50SZkEohnVjjpeX19XPeKnZNEfOYMTnueRSqXwK7/yK7KtIz6WSaA9C7WzWCwYGhrCwMAATk5OsLKyApPJhEAgALvdrvnJ6CEKcNSBNi4Szap21DGTyWB5eRnT09MVN34puXFRLoIgYHFxEWazubRhs9noxt5cOp0OPp8PPp+vVHNha2sLLMvC6/Xe+9an5YlWy2NvJbRxkWhStaOOPM9jfn4eY2NjVc+dK1mvQK7rbm5uoqenB5lMRpbriShTII/ymguJRAIfPnyA3W4Hx3Ho6upSenjPQkGCOtRTJ6FVUJCgUcVisWLTJkEQsLCwgFAo9GizIiX3JMgxicbjcSSTSUxPT+P09LTp13sqWm5oPJPJhFAohL6+PpydnWFzcxMA0NnZ+ei+BbWiIEEd6qm42CooSNAgcaNipZMM6+vrsNlsTyq5rORk1ezrXl9fY39/X5aTDA+Vv64UEMiLYZh7NRc+fvyIk5MTCIIAlmWbUl2zWeh9ow6USSCaIR51lHrTAsDBwQFyuRxGR0ef9HhK7klo5nXL92MosT4tdYrkIZoAmq+rqws+nw+5XA4GgwGRSARdXV0IBAKwWq1KD+9JKJOgvEp7EihIIKoiCAJ4nq941PH09BSJRALhcPjJNxal9iQ0MzgpFApYWFjA6Oioon0AqE6COgiCAL1eD47jwLIsrq6usL+/r4maC7TcoA6VTje0Q58RChI0pNpJhtvbW2xubiIcDtfUTU+pPQlAc45ACoKAlZUV+P1+OJ3Oez8TAxO66bYvhmHgcDjgcDiQyWQQj8fx7t07uFwucBynur0L9H5Vh0oVFx/b89UKKEjQiGoBQjabLXUzrDX91WpHIPf29mAwGNDX1/fJz+R8ro9di/YpyKfS62yxWDA4OIj+/v57NRc4joPD4VDF5ExBgjpI/R7y+TxtXCTqUO2oY6FQQCQSwcjISF3dDFupmNLp6WmpsqQUOW+2dGNXl2q/j/KaC7e3t4hGo9je3obf74fP5/uk0h55ulYJhKUyCVSWmaiCuFGx0lHHpaUlsCwLl8tV1+Mr1Y2x0ddNJpP4+PFjxcqSIjlvWq1yg2wnPT09ePXqFfL5vCpqLmg9k6D18YukNi5SWWaiuMeaNm1tbcFisSAYDNZ9jVbIJOTzeSwuLmJycrLqh1ZNKX41jaXVVfr8VGM0GtHX14dgMIjz83NsbW2hWCwiEAjA6XTKttFR65Os1scvqrRxkZYbiGIeO+oYi8Vwe3uL6enpZ11H63sSisUiFhYWMDw8/GgbYTXtSSDawDAMXC4XXC4XUqkUYrEYdnd34fF4wLJs079Jan2S1fr4RVQngajKY0cdLy4ucHh4WNNRx0q0XkxpY2MDDocDHo+nASOSTyvcONtNZ2cnXrx4gUKhgKOjIywsLDS95oLWA81WCRKo4iJRlUKhUPEkw93dHdbW1vD27duGbKhSck/Cc2+A0WgU2WxWlYWjnnItrU8AWtHoiaq85sL19TUODg6QzWbBsiw8Hk9NR5CfQsuTbD1LPWpUKUigTAKRHc/zFU8y5PN5LCws4PXr1w07z63VTMLl5SWi0WhNJZdpCYA0EsMwsNvtsNvtyGaziMVieP/+PVwuF1iWRUdHx7OvofVv4pWyoVpEQQJRXLWjjsViEZFIBMPDww1NbWqxLHM6ncbq6irevn1bc+EoOTMJahlLu5PjdTabzaWaC6enp1hbW4PBYEAgEHhWzQWtBwlaH79I6j1EdRKIrB476ri6ugq3293wtXellhvqnSR5nkckEsH4+HjN2RS5b1YUBKiHXL97nU4Hr9cLr9eL29tbxGIxbG9vw+fzwe/317xEqPX3UKsECVKy2SwFCUQegiDg6uoKFotFcv1ud3cXDMMgFAo1/NpaOgIp1oXo6+uD3W6v65pqySQA2p8ASHU9PT0YHR29V3PBZrOB47iaCp9peZJtlSBB6jm0y8ZF7e8o0TgxgzA/Py8ZIBwdHeHi4gKvXr1qyodNqQ9wPZuZtre30dHRAY7j6rqm3AERNXhSB6UnKrHmwuzsLFwuF7a3tzE/P4+Tk5NHA2Wlx/5cWh9/NbQngTRd+VFHKdfX19jZ2Xm0iqBW1ZJJODo6wvX1NWZmZuq+npr2JJD2wzAMnE4nnE7nvZoLXq+3Ys0FrU+yrbRx8aF2ySRQkKCgakcd0+k0lpeXMT09DaPRqNAIm6eWoOfm5qYULGnphlMekDwcN21clI8aJ9rymgvHx8dYXFxER0dHqeaCOF41jr0WrXIEUgptXCRNVSgUKp5kEDfnjY2NtXS/8qdMktlsFktLS3jz5s2zgyXKJBC10ev1YFkWfr8f19fXiEajSKfTYFkWXq+3JYIELY8fqHyf4nm+4TUx1IiCBAUUi8WqJxkWFhYQCoVaulf5U45AiiWXR0ZGGtJcR017Eggp97DmQjwex/v372E2m2Gz2ZQeXt1aJUio9BxaNUtSrvWfoco8dtRxfX0dNpsNLMsqNEL5VJtExWOfHo+n7g6XD6kpk0DLDfLR2kRlNpsxMDCA2dlZWCyW0nLE+fm55t4zrbAnoVL/HK39LupFmQQZVevqyDAM9vf3kc/nn1xmWMseyyQcHBxAEISmHPuUS7vcREhz6HQ6dHd3w2q1wmq1IhqNYnt7G36/Hz6fTxN7lVphT0IrBDrPoe3fnoYIgoB8Pl/xDSduYJqYmGibN2SlSfT8/BxHR0cYHx9v6GuhpkwCkY+WgzUxC9Ld3Y3R0dFS19f5+Xmsr68jmUwqPMLqtJbFkSIV6LTC83oqyiTIhOd5FAoFyWWG29tbpNNpvHnzRvNR91NVmrDv7u6wvr6OcDjc8NdCTXsSaLlBXlq9oT98jxiNRgSDQQQCAVxcXGBnZwc8zyMQCMDlcqnu/tEKk2ml5QZAu++rWlCQIAOe5ysedcxms1hcXERPT48m0oeNIrXcwPN8qYGV1o8WSe03aYcbCmk8qfdNec2FdDpdqrng8XjAsqxqPj+t8L5vhefwHOoKO1tQtaZNhUIBkUgEo6OjMJlMivRQUFJ5kCCe6hgcHGxoA6tyasokPOXnpDG0fJN/ytg7OjowPDyMcDgMs9mMpaUlrKys4OrqSvH3WCus59PGRdI0xWIR2Wy24kmGpaUlsCwLp9NZ2qinFLlvpA8zCR8/foTVaoXP52vaNZXck/DY/ydESi2fy/KaCzc3N4hGo9ja2irVXFDiTH+rblwsFAptUSMBoCChacSTDID0hLC1tYWOjg4Eg0EAynVjBH45eSrVJTEejyOVSuHNmzdNvZ5SmQQKCEi96vlcMgwDm80Gm82GXC6HeDyOubk5OBwOcBwna4E2LWdxRFKBTruUZAYoSGiKakcdASAWiyGZTN6bFJXcyCYGKHJG/GIm4erqCvv7+5orufwYqpOgHlqeqJ77HjGZTOjv70dfXx/Ozs6wsbEBnU6HQCCA3t7epr8urZJJePgcstls2+whoyChwR476nhxcYHDw0OEw+F7P1dDJkFuhUIBKysrmJ6ehsHQ/Lei2vYkEPIUjZjIdTodPB4PPB4PkskkYrEYtre34fP54Pf7mzbhaTlAE0k9B8okkLpVO+p4d3eHtbU1vH379pNJ8SlliptFiSBBEATc3t5iZmZGtvSnmr69a/3GqSVanqiaMfbu7m6MjIyA53kkEgnMz8/DarWC4zj09PQ09Fpafu1FlTIJ7dAmGqAgoaGqHXXM5XKl430Wi+WTf8swjGKZBLkDFEEQsLa2BpPJhN7eXtmuK+fN6ikBiVoCFqJezZxkDQZDqebC5eUldnd3wfM8OI6D2+1uyDKB3MuYzSD1HPL5PAUJpDbVjjqKjYqGh4crHu9TOpMgZ4Cyu7sLo9GoyIeMJmaiJXK8XxmGQW9vL3p7e5FOpxGPx7G3twe32w2O456VVm+FTEK7LzdoO8RTice6Oq6srMDtdsPj8VR8DCUzCXKm4U9OTnB+fo6RkRHZJ2w1lWVW09JHq9P6RCXn2Ds6OjA0NIRwOIyOjg4sLS1heXm57poLWn/tAVpuoEzCMz12kmF3dxc6ne7RRkVKZxLkuHYymcTW1hbC4TD0en1LBwnlzs/PsbOzA5Zl4Xa7NX/TJPJRapLV6/Xw+/33ai5sbm6CZVn4fL4n1wholSDh4XOg5QbyJI8FCEdHR7i4uMDMzMyTvlm28p6EXC6HxcVFvH79WrEPlxJBQjqdxsbGBl68eIHT01Ps7e3B5/O1XXVNpWl1olLDJGu1WjE2NlZXzQU1jP+5pO7vmUyGggRSnSAI4Hm+4lHH6+tr7O7uPrlRkdJHIJt57fI9GY3ePa1mYqnpsbExdHZ2wm63l3aUn5yclFKWXV1dSg+1pWl5WUdNk2x5zYXz83NsbGyAYRgEAgE4nU7Jcapp/PUqFoufnEajTAJ5VLWTDOl0GsvLy5ienn7y+WMl16ibfe319XU4nc6qezLkIOdrLAgCMpkMXr58CbvdXqq+Ke4oz2QyMBgM+Pjxo6zFbYi2qHGS1el0cLvdcLvduLu7QzQaxc7OjmTNhVY43dDuGxcpSKhDtQCB53lEIpHSt8enUjqT0KzJ8/DwEPl8Hq9evWrK49dCziDh4OAAABAMBiWvyTAMrFYrBgYGkEwmEY1Gsb29XVrzlaO4VLtQ40TbKrq6uko1F46OjhCJRNDd3Y1AIICenp6WeO2lAp1cLkeZBCLtKUcd+/v74XA4anpcJYOEZl374uICsVhMNSWX5RrDxcUFjo6OJOthSI2lu7sbo6OjyOfziMVimJubg9PpBMdx6OjokGPIRKW0MskaDAYEAgFwHIfLy0vs7e2VTnxpebkHkN642E6ZBG3ngWRW7agjAGxsbMBms8Hv99f82K12BDKdTmNtbQ1v3rxRVbe0Zt+wMpkM1tbWMDU1VfPN3Wg0or+/H7Ozs+jp6cHa2hqWlpZU0fJXy7Qy0UrR2tjFmguvX7/G+Pg48vk8VldXsbOzg2w2q/Tw6iK1cZGOQJJPiD0ZKp1k2N/fRz6fx+joaF2P30pHIMUll/Hx8arfpuXW7G81YiZpbGzs0eddbSw6nQ5erxderxc3Nzc4PDzE1tYWOI6D1+vV/BoveTqtBQnlLBYLurq6EAqFkEwmsby8DJPJhEAgALvdrpnnRRUXyaPEo46VNuGcnp7i+Pj4k6ZNtWiVTIIgCFhaWkIoFILdbm/IYzZKM19jQRCwuroKn89X81JTNVarFePj48hms4jFYnj37l1DKuERbdB6BkkQBBgMhk9qLmxtbYFlWXi9XtXvv6m0cVHOlttKUvdvRwUeO+p4e3uLzc3NJx91rKRV9iRsbW2hs7MTLMs25PEarZkbNAVBQF9fX1Me32w2Y3BwEKFQCCcnJ1haWkJnZycCgUDFUt/kF7T8bRzQbo0H4NPXvrzmQiKRwIcPH2C32xEIBFQ76VaquNjILwNqRkHCIwqFQsWTDNlsFouLi5iamnp26qkVjkAeHR3h5uYGMzMzDRhV4zXrZnt5eYl4PF7TBs16X3OxEp7P58PV1VVpmSsQCMDlctFSRIvReoBTafwmkwmhUAh9fX04OzvDx48fAQAcx8HlcqnqOVdabmiXTB4FCVXwPF/xJEOhUEAkEsHo6Ci6u7uffS2tH4G8ubnBzs6Oak4ySGlGIJbJZLC6uoqZmRlZN2gyDAOHwwGHw4F0Oo1oNIq9vT14vV6wLPvk+hxE3Vo1SBAxDHOv5kIsFsPu7q6q3seVlhtoT0Kbq3bUUVx35zgOTqezIddTMpPw3E2T2WwWS0tLePPmjSo+1JU0+mYrblQcHR2t66hio37fHR0dePHiRems+vz8PKxWK4LBIFVzhLYnWi2PHZA+PlhJV1cXXr58CZ7ncXx8jEgkgq6uLsWX1KhOAvmEuFGx0lHHzc1NdHR0IBAINOyaSmcS6r12sVhEJBLByMiI6iekRgdi6+vr8Hq9dQWKzbjxl59Vv7i4wObmJgBULZtL1K0VNi7WugRmMBjAcRxYli0tqeVyOXAcB4/HI/uSGlVcJPc81rQpFovh7u4Ob968aeh1tbgnQdzR7/V64XK56rq23N+UGvUaR6NR5PP5R7t7KoFhGDidTjidzntlc9u1mqPWv41reezPee3Ll9QymQzi8TjevXsHl8sFjuNkO15NmQRS8thRx4uLCxweHjZl3V3pTEI9k+f+/j4AqHKilNKoQOz6+hqHh4f40pe+9KwboBxBoVg2N5/PIx6P48OHD3A4HAgEAlTNUQO0HuA0avwWiwWDg4Po7+/HyckJVlZWZKu5UClIoExCm3nsqOPd3R3W1tbw9u3bpmxQU7pVdD6fr+nfnJ2d4eTk5Nm1IeS8CTZiYs5ms6XmXWqqJPkYo9GIUCiEYDCIs7MzrK2tlZpNaamwTbvRepAANDYTotPp4PP54PP5cHt7W6q5IJ74aUaWjDYuEgBAKpXC0dEROI6TfEMsLCzg9evXTUtxaani4t3dHTY2Np5dG0Jrdd3FjYojIyPPPtOt1HPX6XTweDzweDy4vb39pJqjlgKfp9LyRKulz4fcenp68OrVq3tZMrvdDo7jGro/qlLvBgoS2kihUEAmk8Hp6eknmxHFjXnDw8NN3WGrleWGfD5fCpiem26Te6J87vU2Njbgcrnq3n+hNj09PaXCNrFYDO/fv4fL5UIgEGibVKoWaDXAkYuYJevr68P5+Tk2NzchCEJpw24jNjo+/B1QnYQ2IjZt0uv1n0zSgiBgZWWl9M2rmbSwcVEQBCwuLmJwcLAhAZOWgoR4PI5sNlt3bw41M5lMGBgYQCgUwvHxMZaWltDR0YFgMEjVHBWm5SyI3BiGKQXxqVSqVHPB4/GAZdm6v/lLvf7ZbJaChHZQftRRKkjY3d2FXq+XZWOeFsoyf/z4EVarFT6fryHXVSJIqMfNzQ329/cbumFVjUstOp2utLZ7fX1dOnoWCATgdruVHl7dtD7RannsSuns7MSLFy9QKBRwdHSEhYWFhtZcoI2LbUIQhNJRx4cT5dHRES4uLjAzMyPLh1TtmYRYLIZUKtXQo59KPOdar5fL5UqFotrl6CDDMLDb7bDb7chkMqVqjgaDQXVNuwipRq/X36u5cHBwgEwmU6q5UO8enHbak9DWhd4ZhimtV5VPWFdXV9jd3cXU1JRshTvUvCdB/HC9fv26oQGT2pcbxI2KL1++VH2hqGaxWCwYHh4ubVLd2trC2toaksmk0kN7Mq1nEsjziTUXJiYm8Pr1a6TTabx//x7b29tIp9M1Px5lEtqQOEmn02msrKxgenpa1hLDSmcSKgUomUwGKysrmJmZafg3ablPdNT6Gm9ubqK3t7cpqXY1LjdUo9fr0d3djVAoBEEQsL29jWKxiGAwSNUciaaIHVX7+/txenpaOg4cCATgcDie9F6mjYttovzNIN60I5EIxsfHZW9bquRNttJkLTaxGhsba1rhHbVOlIlEouHLK62AYRj09vbC6XQilUqVqjn6/X74/X7VLslQEEMe0ul08Hq98Hq9pZoL29vb8Pl8j76XeZ5vyePCUtT5iVaAmEUYHx9vu3VXqW+1giBgeXkZHMc1rW+6Wpcbbm9vsbu7+6yKik+h1gDpqTo7O/Hy5Uvk83kkEonSOfVAICB7kF2N1l9n0nzlNRfE97LNZgPHcRX/Tbu0Zacg4f9bX1+HXq+H3+9Xeiiyk5o8d3d3YTKZEAwGZb1uMz3levl8HktLS5icnGzqt+JW+mZrNBrR19dXqua4sbEBvV5fU/qWEDUofy+fn59ja2sLqVQKJycncLlcpcCgnQLP9giFqmAYBvv7++B5vm12qz70cNPkyckJzs/PMTIy0tTrqi1IEOtADA0Nobu7W7ZxtQqGYeB2uzE9PY2BgQEcHx/j/fv3iMViKBQKio2LNi4qQ8sTqVhzYWJiAp2dnbi+vsYXX3yBv/u7v0MsFqv6b3/yk59gZGQEw8PD+Nu//dtPfn5wcIBf//Vfx/T0NCYnJ/GjH/2oWU+jIdo+SDg5OcHx8TEmJiba9kZSPnne3t5ia2tLlpMdaquTsLm5CavVCq/X27BrVnp+Wtu4WCsxfTs1NYVcLlfaSZ7JZJQeGpFJpT44WiIIAgwGA168eIGZmRmYzWZ8/etfx93dHX7+859/8hkuFAr44z/+Y/z4xz/G6uoqPv/8c6yurt77O3/zN3+Db3zjG5ifn8cPfvAD/NEf/ZGcT6lmbR0kFItF7O3t4c2bN22zviRFnLDEmgCTk5OyZFXUVCfh+PgYt7e3GB4elnU8rU6s5jg7O4uuri6srKxgeXkZ19fXsv3uWzkYUzOxBo2WlXeANJlM+Pa3v43/+7//g8FgwD/8wz/gK1/5Cr73ve+VjlF+8cUXGB4exuDgIEwmE37nd34HP/zhD+89JsMwuLm5AfCLjrIsy8r7pGrU1nsSdDodZmdnlR6G4sQjkAsLCxgeHpYt1a6W5YZkMont7e2GtwCXu8ulmond+7xeL25ubnB4eIhsNlsqaiNH1orIqxXe+1JtonU6HSwWCz7//HMkEgl85zvfwW/8xm/gf/7nfxCLxe7t4woEAvj5z39+79//5V/+JX7zN38T//iP/4i7uzv853/+pyzPpV7aDvMa4OGbuB2/deh0Otzc3MDpdDa9R0U5NQQJ+Xwei4uLeP36dVPrYjx8n7X6ckMlDMPAZrNhYmIC4+PjuLu7w7t377C7u4tcLqf08EgDtUKQUOk5iJ9dv9+Pv/iLv8BPf/pTGAwGyc/0w3//+eef41vf+hai0Sh+9KMf4Xd/93cVK6T3FG0fJJRTsuqhSImJIx6PQxAEDAwMyHpdpSdKQRCwtLSEwcFB9PT0NPzxtX6DbDaLxYKhoSGEw2GYTCYsLCxgbW0Nt7e3Db1OK0xWWtQKr7tUJqFQKHxSI0F8noFAAIeHh6U/j0ajnywn/Nu//Ru+8Y1vAAB+9Vd/FZlMBmdnZ80YfkO0fZBQ/iaWuwKg1Fjkvv7FxQWOj4/R1dUl+wda6UzC9vY2urq6GtawSko7ZgtqJdbXD4fD8Hq92N3dxfz8PE5P08UlDAAAIABJREFUT+n107BW2bj48DlUK8k8OzuLzc3NUmbsBz/4Ab72ta/d+zt9fX34r//6LwDA2toaMpmMqhuotX2QUK5aeWI5yB2kpFIprK2tYXJyUpGbsZJBwsnJCa6urvDy5cumXu8pYyG/IFZznJycxMjICC4vL/Hu3TscHByA53mlh0dq1GobF0XZbLbi0qTBYMA//dM/4bd+67fw6tUrfOMb38D4+Dj+/M//HP/xH/8BAPj7v/97/Ou//iumpqbwzW9+E9/73vdUHUy19cbFh5RebhCDFDnKffI8j4WFBUxMTMBisbRVkHB3d4fNzc2Gb1SUQoFAfcRqjjzPP7uaYyukvbWoFV53qSDhseZOn332GT777LN7f/bXf/3Xpf89NjaGn/70p40daBNRkFBG6SBBrkyCuBYfCoVgs9lQLBbbIkgAftnZ8fXr100/5vnYDZICiMcZDAYEg0EEAgGcn59jY2MDOp0OgUAAvb29mp+EqtH6+6MVggSp55DNZtuq8B4FCWWUDhLkWu7Y2tpCZ2dnaUONUqlvJa57e3uL0dFRWK1WWa5XrZgSeTqxAp7L5UIymcTh4SF2dnbAsix8Pl/V7JvWJ1utaoUgQSqTkM/n2ypI0PaCUYMpHSTIcf1EIoGbm5t7a/FKfZDlDhIODg6g0+lkK15S/rpKPU+avOrT3d1dquaYz+cxNzeHra2tqtUctThZaX2S1fr4gdo3Lraits8kPDzdoHQmoZkTx/X1tSzdDZ9KziDh9PQUV1dXsncnpExC85hMJvT396Ovrw+np6dYWVkpNSWz2Wyaf421PslKfQvXmkobFymT0KaUDhKaef1sNovl5WW8efOmqd0NayFXkJBKpfDx40eMj483/VrltHyD1xKdTgev14u3b98iFAohFothbm4OiUSi9HnS4u9C65kmrQc5AC03AJRJuEfpY2nN2rhYLBYRiUQwOjoq+zfpauR4vctPcZjNZtX0ilD6vdaqrFYrxsfHkc1mEYvF8O7dO+TzeeRyOU3e2LU8ybZCkCD1HDKZjCbfS/WiTEIZpTMJzdi4KAgCVlZW4PP54HQ6G/rYz9XsiVIQBCwvL6Ovr6+UflZT10nSPGazGYODgwiHw9DpdFhcXMTq6mrDqzk2k9YnWa2PH6BMAkCZhHuUDhKakUnY398HwzDo6+tr6OM2QrMn7b29PZhMJnAcV7qe3ChboCy9Xg+j0Yi3b9/i6uoKu7u74HkegUAALpdL1WvmWp9ktT5+AJJ1a2jjYhtTOkhodCbh7OwMJycnCIfDqvywNjNIOD8/x+npKcLh8L0/V0smgZYb5MUwDBwOBxwOB9LpNKLRKPb29uDz+eD3+5va3KteWp9kW6Uss1QxJcoktBE1nW5o5PXv7u6wsbGB2dlZ1X5balZdiHQ6jfX19VKqufx6Su5J0PpNv1V0dHTgxYsX4HkeR0dHmJ+fh81mQyAQQFdXl9LDu0fL75dWLctMmYQ2pnSQ0KhJLJ/PY2FhAZOTk6qOeJsxaRcKBSwsLGB8fPyTD7ISDazE/5Z6rpRJUJbBYEAgEADHcTg/P8fm5iYAIBgMqqKao9IdaZ+rFYJiqrhIQcI9Op0OhUJB0es/98YgCAIWFxeb1v64kRodJIibNDmOg91ub9jjPgfVSVC/8mqOd3d3pWqOfr8fPp9P0SPDWn6ftEKQQBsXKUi4R+l14kZcf2NjAzabra72x3J/qBv9eosVFYPBYMMek7SXrq4ujI6OIp/PIx6P48OHD3A4HAgEAujo6JB1LFqfZLU+fkB6X0Uul1PVUfJm0/aCUYMpvdzw3OvHYjFkMhkMDQ3V/G+V+DA3Mki4uLjA0dERxsbGGvJ4jVDt+SkdkJLqjEYjQqEQwuEwbDYb1tbWsLS0hMvLS9l+b1qfZFt142I2m6U9Ce1ETRsXnzNxXF1d4eDgoO72x3K2qS6/ZiNuuJlMBmtra3j79q3mN0oRddHpdPB4PPB4PLi5uUE0GsX29jY4joPH42nq50XrQaQgCLLeT5qh0nIDBQltSukgod7rZzIZrKysYGZmpu71UyW+2TbimoVCAZFIBGNjY7BYLA0aWWNQtqC1WK1WjI2Nlao5vn//Hm63GxzHNW3S0PI3ca1nQoDKDZ5oT0KbUjpIYBim5o2T5ZPkc9ZMtRgkCIKAtbU1sCwLh8PRwJE1HwUQ2iVWc+zv78fx8TGWlpbQ0dGBYDDY0BbkWp9ktT5+oPIRSAoS2pTSQUKtFRcFQcDS0hICgcCzJ8lm9Y2o5rkT5eHhIQRBUO1GRQoEWptOpyudgLi+vsb+/j7y+Tw4joPb7X720pfWJ1mtjx+gOgkABQn3qCFIqOX6Ozs7MJvNCAQCz752swobPXbNeifRy8tLxOPxuvdgENIoDMPAbrfDbrcjnU4jFothf38fXq8XLMvWXc1R65Nsq2xcpOUGUqLEt+lytUyax8fHuLy8xMzMjOzXbpR6r5nJZLC6uoqZmRlVb4yissztp6OjA8PDwygUCkgkEohEIujp6UEgEEB3d7fSw5MVVVxsDW0fJJTfyJX4Nl3uqZmE29tbbG9vN7TkslaChGKxiIWFBYyOjsp+br0eFAi0J71eX6rmeHFxge3tbRSLRQSDQTidzid9w9Z6JkHr4wcq10mgTEKbUnq54SmTZi6Xw9LSEiYnJxvalEaJ515PkLC2tgav16u6ttdSqE4CYRgGTqcTTqcTd3d3iEajpWqOfr+/6mkkrU+yWh8/QA2eAAoS7lE6SHjs+uK36BcvXjQ8damFTEI0GgXP8wiFQk0cFSHN0dXVhZGREeTzeSQSiUerOWp9ktX6+AHp50B1EtqY0kHCY5Pm2toaXC4X3G637NduhlqueXV1hcPDQ3zpS1/SzI1HK+Mk8jIajejr60MgEMDZ2RnW1tZgMBgQDAZht9tL7xutZ5paIUgAPv0cU8XFNqZ0kFDt+gcHBygUCujv72/KtdUcJGSzWaysrGB6elrVGxWl0HIDqaS8muPt7S0ODw+xtbUFjuPg9XoBaDvQlNr01wpo42IbU2uQcH5+jkQigXA43LSbhlr3JIhLLCMjI5prqkKBAHmqnp4ejI2NIZfLlao5dnV1aXrtu1UyCQ+1256E1gvzavTwdIPajkCmUimsr69jamqqqd+i1ZpJ2NjYKLXxbSVKv9eIOplMJgwMDGB2dhYmkwmnp6dYWVnB9fW10kOrWSsHCZRJaFNKv6EffpvneR4LCwuYmJhoel8CNQYJ8Xgc2WwWo6OjMo6qcZR+PxHt0ul0sNvtMBqN6O3tvbcU4fF4NJHGb9UggTYuEsWUT5qCIGBxcRGhUAg2m02Wa6tpueHm5gb7+/uar6hI2QLyHAzDwGazwWazIZPJIBaL4d27d6VqjmpOe7dqkMDzvOb2Rj2H+sNRGajljVyeSdjc3ER3dzdYlpXt2mrJJJTXgqi3q2U1cj5P2rhI6vVwkrVYLBgaGkI4HIbRaMTCwgLW1taQTCYVHGVlrbpxEUDLPi8plElQEXHiSCQSSCaTmJ6elv3acpK6prhR8eXLl+jq6pJ1PI2mpv0uRHsqfRPX6/XgOA4sy+Ly8rJUzTEQCMDlcqnmS4/WMwmVPq/t9jmmIEFFdDodcrkc9vb2ZE+zqyVI2NzcRG9vb1NqQZRfU47XVss3SKK8x96nDMOgt7cXvb29SKVSiEaj2N3dfVI1Rzm0QpCg5fE3SvvkTDQgn8/j7u4OU1NTsn/A1XAEMpFIIJVKYXBwULZrNhstN5B61TJJdXZ24uXLl6WGbx8+fMDHjx+RSqWaOcSqtD7JSi2XaP051YMyCSpRLBaxuLgIi8WiSD0ApTMJt7e32N3dbXpFxXb7gBPtqufzKFZuFKs5bmxslJpNORwOWd//Wp9Qq41fy8+rVhQkSJD7zS0IAlZWVuD3+xGNRmW7bjklg4Rmb1R8SK7n+dhrSpkE8ph670MMw8DtdsPtdiOZTOLw8BDb29tgWRY+n0+W3flSHRS1pJU3XtaCXgHc/yAqkXbf29uDTqdDMBiU9brllDoCWSwWsbS0hKGhoYY3rap0TTmDhHp+RgjQuC8r3d3dePXqFaamppDP5/H+/Xtsb28jk8k0YJTVafl9XilIaLfgnoKEB+QOEk5PT3F6eopXr14p+oFS6ghkJpOB1Wot1aqX45pq2JNAyGMandE0mUzo7+/H7Owsurq6sLKyguXlZVxfXzftfarlIEHq9S8UCm1VIwGg5YZPyBkkJJNJbG5uIhwOK57WUmK54fj4GMViEcPDw7JeVwnHx8cwm82lwli0cZE8plnvD51OB5/PB5/Ph+vra0SjUWQyGU1Vc5SDVCah3UoyAxQkfEKub9T5fB6Li4t4/fq1KqqmyT1pJZNJ7OzsoKOjo2WPeorXOjo6Qjweh16vRz6fRzAY1HwNCK3QeiDW7M+GWM0xm80iGo3i3bt38Hg84DhOFfclJUllErLZLIxGo0IjUgYFCQ/IsTYvFgwaGhpCT09PU6/1VHJmUMoDpKWlJVmuKZI7SBBL6b558wZ6vR6ZTAaHh4fY2dkBwzBtmb4kTyPnBmqz2YyhoSH09/fj+PgYCwsL6OrqQjAYVM096v+xdyaxrV3nHf9fThI1URRFUpwlPc3UYE3PcZsCDQrUqBG4XbRpkHXaLrwqiqSrpmiKtgECGGjhRYEiaBctbBTdxFnUQQI0WXSwHyU9iRI1UCIpUhIlUbMozkMXL/eapEiJwx3J8wMMGHqUzrnk5fn+9zvf9z98QzIJbyAioQQ+guXe3h60Wi1v+/DVwFfwzOfzcLvdGB4eFmTx4VMk5HI5HB4e4q233oJSqUQul4NarcbY2Bii0Sg2NzexsrICnU4Hq9XacosPH0i5DU+IucvlcpjNZphMJtzc3MDv9yObzYrOzZEPyomEZDLZchkWIhLAb3cDvf83Pj7O2Rj1wFfwPDg4QGdnJwYGBjgfqxx8LXL5fB7n5+fQ6XTo6elBOp0u+neFQoGOjg5MT0/j/PwcbrcbHR0dsNvtvHR5EMSPkAKHoihotVpotVrEYjEcHx/D7/djYGAAJpOpJVLu5d7/dDpNREKrw6VIuL6+RigU4twwqB74EAnn5+e4ubnB4uIip+M8Bx9i6OjoiLHNLQf9ftNFZEajETc3N/D5fMjlcrDZbOjr6xPdfULgD7HUU3R0dGB0dBSZTAbhcBhra2vQaDSw2WyCGL/xBdlueAMRCSVwJRLi8Tg8Hg8WFhae3IPm82yBQrjOoDw8PMDr9Qp+9DMfYoiuGDcYDFX/TuGT28PDA1O3YLFYYDQaSd1CnUh5uwEQVwthoZvj5eUl9vb2QFEUrFZrUwraSoWLJJPQ4nARLLPZLF6/fo2pqSmo1eonX0sXTvIdFLgMnplMBuvr66Lo5OBaJKRSKWxubmJ+fh5nZ2d1jdXZ2YmJiQmkUikcHx9jZWUFer2eVJy3GGIVOBRFob+/H/39/YhGozg6OoLP5+PVzZEPymUSyHYDgfUWSLpQz2azQavV8j5+tXAVPOnrHxwcRE9PD+t/X0zQ1zo6OvpsGraa91ulUmFoaAh2u52pOO/u7iYtlDUg1kBbDVKYe1dXFyYmJpBOp3FycoKVlRX09fXBYrEIPbWGKScSEokEEQmtDtstkD6fD21tbbBarYKMXy1ciRPaC8FsNrP+t+uBy0yCz+dDV1cXs83A1liFFedXV1fwer2MjXdvb6/oAwmhPqQgEmiUSiUcDgdsNhsikQg8Hg/i8Thubm6g0Wgkcx2FkMLFNxBrLXDX3XB2dobr6+uaOhmEODsC4EacRCIRXF1dYWxsjNW/2whciYSLiwtcXV1hdHS06t+pdR4URUGn0+Gtt97C8PAwwuEwVlZWcHp6Ksg9QyCUIpPJYDQaMT8/j7a2Nma7LBwOS+4eJYWLbyAioQS2gvT9/T0ODg4wNzdXk82pUHa9bI8bi8Wwt7dX8/VzDRfvbzwex+7uLmZnZ4uu9amxGn2y6urqwtTUFGZmZvDw8ACXy4XDw8NHrZatjpSexkuR+twVCgWcTidmZmYQj8fx6tUr+Hw+JJNJoadXFeXe/1Qq1XKZBLLdUAIbIiGVSmFjYwNzc3M19xMLmUlgK3jShYrT09NN/4XK5XLY2NjA1NTUk08YXC32hU55dHtab28vbDbbs0WyBHEjdZFAz72trQ3Dw8NwOBxFniBWq1XUdUokk/AGIhJKkMlkyGazdf9+LpfD69evMTY2VpcpjlCZBLZqEvL5PDY3N2G325nDjMQE2+/vzs4OjEZj2aLU5zIJbM5DLpfDarXCYrHg4uIC29vbUCqVov0c+EIsXgP1IGWRkMvlHs1dLpfDZDJhYGAANzc3TOaLdnMUU8YRII6LNEQklCCTyRpK2W5vb0Ov10Ov19c9vpRrEgKBAFQqVU3VzXwuhmwG53A4jGQyicnJSVb+HhtQFMXcf3d3dwgGg9jf34fNZoNer5ds0GkEqV6zlEUCbRRWjkJPkHg8jqOjIwQCARiNRpjNZtG4OZLCxTcQkVBCI0/UwWAQuVwOg4ODdY8v5ZqEy8tLRCIRLC0t1TwunyKBDaLRKPx+/5PumUIfB93T04Pp6emihdhkMsFkMkGhaJ2vvpQDrVSp9jutVqsZN8fT01O8fv0aPT09sFqtgrf5VtpuaGaXyXK0zkrxBIU3c71P1JeXlwiHww07Ckq1JiEej2NnZwdLS0uiL9RsdLxMJsOcYllvsOXzugsX4pOTE6yurqKvrw9WqxXt7e28zEEopBxoAWkLnFrmrlAomO0yus0XgKD25JUcF6vxu2kmiEgooZ4gHYvF6gqQ5ZCiTwLtKOl0Omsu6uFbJDQ6Hl1zMTg4+OwplkJnEkpRKBSw2+2wWq2IRCLY2tpCe3s77HZ7yx4HLGakvt1Qz9zpNl+dToeHhwfGzZGuZeAzA1bJcZEULrY4tYqEwkp+Nm4eIR0X6xEn+XweW1tbsFqt6O3trWtcKYmEYDAIpVJZtTnUU2MJJSDoXnaDwYDb21vmOGCbzQadTifZwFQJqV6PlEVCucLFWuns7MT4+DjS6TTC4TBWV1eh1WphtVp56dyptN1AahJanFpEQj6fx8bGBgYHB1mrIJfadkMwGGTc//gcVwiur68RDofx8uXLql7PpU8CG1AUhd7eXvT29iIWiyEUCsHv9zeVB79U7q1ySH3ubHUr0F06VquV6dyhD5vi0nGU+CS8gYiEEmoJ0l6vF11dXTCZTKyNL6XCxaurK5yenmJ5eZnXcRuh3vFSqRRzime9i5+Ynww7OjqYp7bj42O4XC7o9XpYrdaWWxTFhFjvl+fg4l6XyWQwGAwwGAy4v79HKBTCwcEBzGYzJyelEp+ENxCRUEK1IuHk5ATRaBTz8/OCjM82tQbPRCKB7e1tLC4uNvTEIAWRkM/nsb6+jrGxsZrSnE8tkmLNoCiVSgwODjKHSm1sbKCzs7PuTJHQiFmYPQeZe2W6u7sxNTXFnJRKi1qLxcJaECeZhDcQkYDH3Q3PLd63t7c4PDxsuJOh0lyEyiRUS+HR141WxwshEmplf38fvb29dXlfiFEIVINMJmOKxa6vr3FwcICHhweoVCpyqBRPEJHwPPRJqQ6HA2dnZ3C73VCr1bDZbA27OZJMwhuISCjhuSf5RCKBzc1NzM/Pc1JpK1QmoVry+Tw8Hg/MZjMrrUBib4E8Pz/H7e0tFhcXOZyReKEoCn19fejr64PH48HNzQ0ikQgsFguMRqPoXPJKIYFWGNgoXKyFQlF7e3uLYDCIZDIJq9UKvV5f131KChffQERCCU8F6Ww2i/X1dUxMTHBmqCFUC2S1hEIhAGAt/Szm7YZYLAav11t3xkjshYu1olQqYTKZ0NnZiaOjI7hcLhgMBlgsFtG45DUTUs1CAewWLtZCYTFuIpHA0dERDg8P67pPyXbDG4hIKKGSSKBb/UwmE3Q6HafjN3J2BJdcX1/j5OSE1W0WsYqEbDaLjY0NOJ3OuhcFKQqBalCpVMyBPYUueTabreXc6LhGqveQGLIg7e3tGBkZQTabZe7T7u5uWK3Wqs7VIT4JbyAioYRKIiEQCEAul8Nut3M+vhiP+00kEkx1P5tVxGIVCdvb2zCbzXV5PxQi5afB55DL5bBYLDCbzbi8vMTu7i7zHdFoNIIHCUAcwapeyNzZofA+petrcrncs74glRwXiUhoQQpvhHIiIRKJ4OLigpd9aTFWvedyOWabhW0TEzFe7/HxMWMuRHgeiqLQ39+P/v5+3N/fIxgM4uDgoKH9YIK4Am2tiHHuhfU1sVisyM2x0nkm5bYbiEhocUqDVjQaxd7eHpaXl3lZ7MRYuLi9vQ2j0cjJNovYMgn39/c4PDx88uAmtsZqRrq7u+F0Oov2gwcGBmA2m1vqUCk2EGOgrZZyqXox0dHRgbGxsSI3x97eXlit1ie3zEhNAqHoS5lOp7GxsYHZ2VnebgyxBZajoyNkMhk4HA5O/r6YREI6nYbb7cbs7CwrAU2qCzwb0PvBmUymyFLXZrPxeqiUlAOtlJHK+067OdpsNlxcXDBbZlartew6QTIJBAY6xT4yMsLr4TdiyiTc3NwgFAqx8lRdCbH4JNAHNw0PD1dV1FQtYhJ8QkDb5xYeKtXW1ga73d5wH3uzI5VAWw6pzZ2iKOj1euj1etzf3+Po6AixWAwnJydFbo6tWLgo3nwQz5Te0Lu7u9BqtTAYDLzPQwyBJZlMYmtrC3Nzc5x6+IvFJyEQCKC9vR0DAwO8zqVVoCgKBoMBi4uLsNlsODw8xOrqKiKRCKefv9SCVSlSnbuU3/fu7m5MTk5CrVYjmUzC5XLhww8/RCAQQCaTqbgefvbZZxgfH8fIyAh+8IMflH3Nv//7v2NqagpOpxPf+ta3uLwM1iCZhDKkUikkk0lMTEzwPrbQmYR8Ps/YEI+Pj3Pe0iaG7Yarqyucn583dAbFc2NJdcHkAo1Gg5mZGcTj8aJDpUwmU1McKkUQzieBTWQyGePm6Ha78a1vfQuJRAJffPEF3nnnnaLXZrNZfPDBB/jZz34Gq9WK5eVlvP/++5iammJe4/V68Xd/93f47//+b2i1Wpyfn/N9SXUh7U+RA66vr5FOpzEzMyPIwi7UUdHAl0Ftd3eXqVbna0y+KB2PPoNibm5O8oua1FCr1RgbG8P8/Dyy2SxWVlZwcHCAZDIp9NQIDSLlTEIpMpkM3/72t/E///M/kMvl+Pu//3t89atfxccff8y0q3/xxRcYGRnB8PAwVCoVvvnNb+LHP/5x0d/5p3/6J3zwwQeMUy3fWep6IatiAfF4HB6PB2q1WrAnGiEdFymKwvHxMZLJJIaGhngbU6jthlwuh42NDUxMTHBSTCeWrSOxo1Qq4XA4sLS0hM7OTrjdbng8HkSj0Yb/djMFKynBty0z21T63ra1teHjjz/GJ598ArfbjXfeeQfJZBLHx8dFLdNWqxXHx8dFv7u3t4e9vT38+q//Or7yla/gs88+4/Qa2IKIhF+RyWTw+vVrOJ1OQZ8ohcwkZLNZhEIhTE9P8/YFF7Jw0ev1QqfTceqgSagemUyGgYEBLC4uwmQywefz4fXr17i8vCRiS2JIfbuhnLgs/JnVasXf/u3f4v/+7//Q1tZW9v4s/f1MJgOv14tf/OIX+Pjjj/Htb38bNzc33F0ES0j3U2SRfD4Pt9sNu93OOOwJmfIXIpOQSqUQi8UwNTXFaz+7UNsNZ2dniEajGB4e5nwsQm1QFAWtVovZ2VmMjo4iEonA5XLh5OSkLstyKT/RShWpZ3Ce8nkovC56rbRarcy5NsCb1nGz2Vz0e1arFb/7u78LpVKJoaEhjI+Pw+v1cjB7diEi4VcMDg7CYrEAELZ4UIix6XbPzs5O1h0Vn0MIkZBKpXBwcIDZ2VlJL2StQGdnJyYmJjA3N4dkMomVlRX4/X6kUqmqfp+INGGQukiodf7Ly8vwer3MvfnJJ5/g/fffL3rN7/3e7+G//uu/AAAXFxfY29vj9CGFLYhIwJd2nTRCigQhnj739vbQ19dXMW3GJXxfbz6fRzgcxvT0NOcnF5JMAnuoVCoMDQ1hcXERbW1tWF9fx87ODh4eHoSeGqEMUhcJlTIJlb7PCoUCH330Ed59911MTk7iG9/4BpxOJ773ve/h008/BQC8++670Ol0mJqawte+9jX88Ic/lMRWJ2mBLEMrZRLC4TDi8TjGx8fx+vVr3q+bz0Caz+cRCoXQ09NDjHwkilwuZ9olr66u4PV6QVEUs1X41D4ygT+aoXCxdP7ZbPbJgvb33nsP7733XtHPvv/97zP/T1EUPvzwQ3z44YfsTpZjiEgoQ6tkEu7v7+H3+xlHRSGefPkc8+joCBRF8SYQSCaBOyiKYopOo9Fo0aFSBoNB0kVzzYDUCxfLZRJa0ZIZINsNZRGyw4AvgZJKpR6dU9DMIuH29hZHR0ew2+0kcDcZXV1dmJqawszMDB4eHuByuXB4eIh0Ok0yCQIh9fe9nEhIJpOcb1GKEZJJ+BWFN7SQXgV8CJR8Po+NjQ2MjIwUnVPQrCIhlUphc3MTb731Fq972FJeJKVIW1sbXrx4gcHBQYTDYaytrUGtVpPTJwVA6iKh3PxJJoHA0OzbDV6vFxqN5pHjlxDXzfX10u2tIyMj6OzsFKRQksAv9Cl+y8vL6OrqwtXVFdxuN25vb4WeWssgdZFQKZPQasdEA0QklEXo8xO45PT0FPf39xgZGXn0b82YSfD5fOjq6oLRaORlvEJITYKwUBQFjUYDo9EIh8OBUCiElZUVnJ+fk8+FY57yGZAC5Qov0+k0EQmENzSrSIhGo/D5fBX9AZpNJFxcXODy8hKjo6NF4xFaj56eHkxPT2Nqagq3t7d49eoVQqEQMpmM0FNrSqSeSShXeNmq2w1ks64MzSgS0uk0NjY2MDMzU7H4pplEQiKRwO7uLpaWlh75LrjuAAAgAElEQVR92fnMJBDEhVqtxujoKDKZDE5OTrC6uoq+vj5YrVZOzu9oVaQuEsh2w5cQkVCGZhMJ9L788PAwuru7K76uWWoSaAfJycnJR8qf1CS0FpWClUKhgN1uh9VqRSQSwdbWFtrb22G325/8jvCF1O8bqYuEcvNv1e0GIhJ+ReENIWQLJBccHBygs7MTAwMDT76uWTIJu7u7MBgMRS6aXI5XCVKTIH5kMhmMRiMMBgNub2/h9/uRzWZhs9mg0+kkHeiEROoioVwmIZFIEJFAeIOQLZBsc35+jpubGywuLj772mYQCeFwGIlEAhMTE6z9TYJ0qTZYURSF3t5e9Pb2IhaLIRQKwe/3w2w2Y2BggPej45sxyEqJcvNv1UyCdD9FDmmW7YaHhwd4vd6qDzISIoPCpkiIRqPw+/2YmZmpeL18ZxII0qOjowPj4+N46623kE6nsbKyAp/PV/WhUmwgdZHQjPMnhYsEhmYQCZlMBuvr65iZmala/QqRQWEraGcyGaYw8ynzHKFqEsjWg/RQKpUYHByE3W7H2dkZNjY20NnZCZvNVmRCxgXNGGSlRCVb5lbMJBCRUAaZTFbXufVs0siXjC5UHBwcrOmcAqluN+TzeWxubmJwcPDZojMhg7WUF02pwkawkslkMJlMGBgYwPX1NQ4ODgAANpsNWq2WfK5lkLpIIJmELyEioQwymQzpdFqw8elAVu+XzOfzQa1Ww2w21zUun7AxZjAYhFKprOp6+Vy4SPaguaCPlO/r60M0GkUoFGIOlTIajazuwTdjkJUSpAXyS0hNwq8o7W4QcruhkfEjkQiurq4wNjbG67j10mggvbm5QTgcxuTkZNW/QwI3oVG6urowOTmJubk5xONxvHr1CoFAgLWHC6kHWUDamTNSuPglRCSUQegWyHqDdSwWw97eHubm5up6qpFaJiGVSmFra6um6yUtkK0F18FWpVJheHgYS0tLUCqVeP36NXZ3dxGLxRr6u80gEqQM2W74ErLdUAahWyDrCS50oeL09HTdaldKhYv5fB7r6+sYGxuDWq3mfDwC4SnkcjksFgvMZjMuLy+xu7sLuVwOu90OjUZTc8AnIkFYKm03aLVagWYkHEQklEFq2w104R69INWLlDIJ+/v76O3thV6v52BW7EAEifDwHWwpikJ/fz/6+/txf3+PYDDI1C3o9fqqM17kvhGWSo6LJJNAACC8SKg1uAQCAahUKlgslobGlUpNQiQSwe3tbVUGUWyMxyXkibF56e7uhtPpRCKRwNHREQ4PDzEwMACz2fxkmy4NuS+Eg7RAfgmpSSiD0CKhlvEvLi4QiURYcRiUQiaBrruo1iCq0fEaQWyCpBURgwhrb2/HyMgIFhYWQFEUVldX4fV6EY/HK/6OGObdyhCR8CUkk/ArxNTdUG1wicViFU865HJcNqllzGw2i42NDTidzobqLkjgJgiBQqGAzWZjDpXyeDxoa2uD3W5/5GdCRIKwkMLFLyEioQxCFy5WI1Ky2SzW19fhdDpZu3HFbsu8s7MDk8mE3t5ejmfFDs9dW6N+GARpQlEUDAYDc6jU4eEh0uk0bDYb+vv7iZAVASST8CVEJJRB7C2Q+XweW1tbsFqtrAZMMXc3HB8fI5PJwG638zIeoTkQuwjTaDSYmZlBPB4vOlSqu7tb1PNudkgm4UuISCiD2LcbDg8PIZfLYbPZeB2XC6oZ8/7+HoeHh3j58mXDC6fYahKIYCEAgFqtxtjYGNLpNE5OTuDxeCCTyZBMJlsyMAkNySR8CSlcLIPQIuGp8a+urnB2dlaTw2C1iFEkpNNpuN1uzM7OVlURXs14YkFMc2lmpPQ+K5VKOBwOTE5OQqlUwu12w+Px4P7+XuipVU0zCF8iEr6EZBLKILRIqBQ44/E4tre3sbi4yMlZ7WKrSaD9H4aGhlg9dU9MmQQCt0j1/acoCp2dnRgbG8PNzQ38fj+y2Szsdjv6+vpELXzEvsVTDcQn4UuISPgVYupuKDc+Xag4NTWF9vZ2TsYVW01CIBBAe3s7TCYTL+PxjZjmQhAnFEVBq9VCq9Xi4eEBoVAIPp8PFosFRqMRcrlc6Ck+ohlEQiXHxVYUCWS7oQxCL96l4+fzeXg8HpjNZk5tQcW03XB1dYXz83OMj4/zMh4XCH0fEaQbsMrNu7OzExMTE5ibm0MymYTL5YLf70cqlRJoluWR6nteCClc/BIiEsog9A1emkkIhUIAwHqhYiliEQnJZBLb29t1H1T13HhCIfR9RZAOTwValUqFoaEhLC0toa2tDevr69jZ2cHDwwPPsyxPM4gE4PH3ldQkEETz5Fc4j+vra5ycnGB5eZnzL54YbJlzuRzW19cxMTHB2baKWDIJYrnfCOKjmkArl8thNpthMplwdXUFr9cLiqJgt9vR29srWKBuFpFQSiqV4mxNEjNEJIgQOlgnEgl4PB4sLCzwsvcohkyC1+uFTqeDTqfjZTxCc5PP5zkp8uWaWgItRVHMdyYajRYdKmUwGHi/fqm+58+RTqdbMpPQfJ9kE0CLBPqJupajkBtBaJFwdnaGaDSK4eFhTsfjCyJICHzT1dWFqakpzMzM4OHhAS6Xi3F05ItcLteUmYRMJiPKQlGuISJBhFAUhXA4DKPRyNkTdaVxhRAJAPDw8ID9/f26D24SO3RleuFiTUQE90g19d3ovNva2vDixQssLi5CLpdjbW0Ne3t7Tx4qxRZSfc+roRkzJM9BthtEyPX1NbLZLBwOB6/jCtX6mc/nsbGxgenpaSiVSt7H5wp6ocxkMnC73dDpdFhbW0NfXx+sVqvAsyOIGbYCrVwuh9VqhcViwcXFBba3t6FUKmG326HRaFiY6WOaWSS0IkQkiIybmxtcXV3BZDLx/kUT4sk2n88jkUhgbGyMs0VLSHK5HDweD2w2GwwGAxwOByKRCDY3N5FMJvHw8NCS+5yEp2E70FIUBb1eD71ej7u7OwSDQezv7zOHSrH5hExEQnPRermTJyi9sfkOmMlkEltbWxgaGuJ1XBohRMLR0REANOWTNUVRSKfToCgKFouFKegyGo1YXFxEW1sb/H4/1tfXcXNzQ7YeOIAErMf09PRgenoaTqcTt7e3cLlcCIVCyGQyrPx9qb/n5b6HrfzdJJmECtCpd74KVehCxfHxceTzeV72Dkvhe7vh9vYWR0dHaG9vl/SiUon7+3ukUqmy52xQFAWlUomJiQmkUimmIt1utzPHBRNaFz6K/9rb2zE6OopMJoOTkxOsrq4yW2GNtPqVcyuUEk+JnFb8Xkr3k+QYvgPm7u4u9Ho9k/oTojaAz0xCKpXC5uZm0xYq0nUIarWaOZiq9Drp97u7uxtOpxNTU1O4vr7Gq1evcHx8jGw2K8TUCSKBr++FQqGA3W7H0tISuru7sbW1ha2trboPlWqGTIKU5882JJNQAT4D9fHxMZLJJCYmJgAIV/XO1xcjn8/D7XZjZGQEnZ2dvIzJNx6PB3a7HcFgEEB1723hccFHR0dwuVwwGo2wWCxNVdDJJ1Jd8IWYN70VZjAYcHt7i0AggEwmA5vNBp1OV/V8pPqe00g9E8I25J2oAF8i4fb2FsFgENPT08wXS+gDprjG5/Ohq6sLRqNR6KlwQrV1FpXEoFKpZGx3FQoF1tbW4PV6kUgkOJkvQXwIGWgpikJvby9mZmYwPj6Oq6sruFyuqrNbzSgSstlsS3okACSTUBE+AjWdcn/rrbeYlDQ9drMWylxeXuLy8hJLS0tCT4UT7u/vEQwG8fLly4b/VmH7WiQSwdbWFtRqNex2O6tHZzczUg1YYvn+d3R0MNmt4+NjuFwu6PV6WCyWiocdSfU9p6l0uFOrdiERkVBA6XHRXH5R6ULFsbGxRyl3IY5s5oNEIoGdnR0sLS01ZTqPrkOYmZkpEn2NQlEUDAYD9Ho9bm5ucHBwAACCe/QTuEVMn6tSqcTg4CDsdjvOzs7gdrvR2dkJm832SLBKPV1f6ZjoVt3yIyKhAlwH6r29PfT19UGv1z/6t2bcbqBF0eTkZNMet0rXIXR3d1f1+lprTyiKglarhVarZTz6fT4fbDYb9Hq9qIKKWJDqU61Yzz+QyWQwmUwYGBjA9fU1Dg4OkM/nYbfbodVqmXtaiu85DTkmuhgiEirAZaAOh8OIx+MYHx8v++/NaNe7u7sLg8GAvr4+oafCCXQdgsVi4WU82qM/kUggFAohEAjAYrFgYGCgZfdOmwmxB1qKotDX14e+vj48PDwUHSpF/7tUqZRJaNXtBvFJVZHAlUi4v7+H3+/HzMxMxS9Ss2USwuEwEokEBgcHhZ4KJ9B1CFNTU7wvjnSv+/z8PNLpNFwuFwKBAK8H+hDYR0oPCZ2dnZicnMTc3Bzi8Th8Ph+ur68lew+WEwnpdLplMwlEJFSAi0CdSqXgdrsxOzv75J51M2USotEo/H5/UfdGM9FIHQKbnzO9Z7y0tASlUkk6In6F2J/In0Jq81apVBgeHobD4YBCocDr16+xu7uLWCwm9NRqghQuFkO2GyrAtkigDzEaGRl5tjK9WTIJmUwGGxsbmJmZebboR6qL+fb2dk11CFwjl8thsVhgNpuZjoj29nY4HA7SESEhpPp9AL6snXE6nbi8vMTu7i7kcjlsNpskCm3JdkMxRCQUUNrdwGag9nq90Gg0MBgMVc1D6pmEfD6Pra0tOByOZwOoVIudjo+Pkc/nG6pD4OpzJh0R0kaK3wcauuiSoij09/ejv7+f2ZKj6xYMBoMoCzOB8pbY6XSaiARCMWy2QJ6enuL+/h4LCwtVjy31TEIwGIRCoagqgEpRFEWjURweHuLly5d1L+Z8BIFyHRH0GRGt0BEh1WAr1XkD5edOW48nk0mEQiEEg0EMDAzAbDaz2i7MBuU6SxKJBBEJhGLYaoGMRqPw+XxYXl6u+ksvdNBsdIG6ublBOBzG8vJyVa8X+nprpXAbRWwL3FOU64gwm80wmUykI0JkNJtIoGlra8PIyAgymQzC4TBWV1eh1WphtVqhVqt5nml5SOFiMdJZ4XiGjaf5dDpd9Z58IUIuDo2m/lOpFLa2tjA/P1914BFCJDRyjWzVIQgljuiOiEIXPYPBAKvV2nSGMVIOtlKlmhMsFQoFbDYbrFYrIpEItre3oVKpYLfb0dPTw9NMy0MKF4shIqECMpmsoVP46ELF4eFh0RS1VQMtjurZL6SveWxsDB0dHVX/npQyCWzUIYgFuiPCZrPh9PQUa2tr6O3thc1mE81TXasiZXFTixEUXTtDHyoVDAaRSqVgs9kEOzK93PpHRAIBwOPCxUb6fA8ODtDV1YWBgQE2psYbjQTs/f19aDSasi6SXI1ZD/VmS9ioQxAjhR0RFxcX8Hg8aG9vF1XXRqshdZFQz9w1Gg00Gg3i8ThCoRD8fr8g22GVRALZbiAU0ch2w/n5OW5ubrC4uMjyrLin3oAdiURwe3tb1zULJRJqIZvNsl6HILYMCkVR0Ov16O/vx+3tLfx+P3K5HGO5K0WkGmylOm+g8bkXHpl+cnKClZUV6HQ6WK1WXgJ1ufmTFkjCI+oVCdFoFPv7+1haWpLkl7yero5YLIa9vb2aijMLEUIk1IrH44HNZmuJJ2v6qODe3l7Gctfn80GpVIpK1BDECVsCR6lUwuFwwGaz4fz8HG63Gx0dHZx/D0nhYjFEJFSgnu4Guup9enpasqqz1uvO5XLY2NiA0+ms+5qFKlysluPjY+RyOcaXni3ElkkoB225m0wmsbGxgd3dXdhsNtIRwTGtnEkoRSaTYWBgAEajETc3N/D7/chms7Db7ejr62P9fapUuFhLnVUzQURCBWp9os7n83C73RgcHBS8OrcRag1c29vbMJlM6O3t5W3MRqllvGatQ6iVtrY29Pb2QqvV4uHhgemIsFgsohbEUg22Up03wN0JloWeHw8PDzg6OoLP54PFYoHRaGRNtFZyXJTqllujEJFQgVq3G3w+H9RqNcxmM4ez4p5aAujx8TEymQzsdjtvY7JBteNls9m6z2VoVuRyOZMCPj09xfr6OjQaDemIYBkpi4RqWiAbpbOzE+Pj40ilUkVtvGyIVrLdUAxZ+Qqo15Y5Eong6uqK9UJFIRaKajMo9/f3rD1hizXtvr29DavVytn+p1ivuxpkMhlTeX5xccH0uVdjw80nUg22Up03wO/cVSoVhoaGYLfbcXZ2hvX1dXR3d8Nms6Gzs7Ouv0l8EoohIqEC1YqEwqI9NlNsQp1nUE1NAn3y4XOnWdYyptgyCScnJ8hms6zXITQbdEcEfUYEvV/scDig1WolG+iERqriERBG4Mjlcka0Xl1dwev1gqIo2Gy2mu9D0gJZDBEJFahGJGQyGayvr3NSqNiIqVEjPBdA6dqLoaEh1k4VFJtIiEajCAQCnNchSDmTUI5yHRFiOMxHqkJFqvMWMgtCURR0Oh10Oh1zVklh3UI192G57RKSSSA8oppgubm5CbvdDo1Gw/v4XPHcuIFAAO3t7TCZTLyNyTZPjUfXIUxPT5M6hDop7IigD/MxmUwwm828d0RIVYRJebuBj5qEaqDPKkkmkzg6OoLL5YLRaITZbH7Sfrxc4WUriwRxntUpAp7LJAQCAahUKs7seYU6CfKpmoSrqyucn59jfHyc1THF5JNA1yFIuUNFLNCH+SwsLCCXy2FlZQU+nw+pVEroqYkeKYsErrob6qWtrQ0vXrzA4uIi5HI51tbWsLe3h3g8Xvb1ZLuhGPKoVIGngvTFxQUikQiWlpY4G1/ITEK5604mk9je3sbi4iLrC4BYfBJOTk6QyWR4q0Notu2GSigUCqYjgi4u6+npgc1m47z3XKrBVsr3hVjfc7lcDqvVCovFwhTbKpXKR9lgUrhYDBEJBVTT3RCLxbC7u4ulpSVO1bJQmYRygSuXy2F9fR0TExNob2/nZUwuKTceX3UIrYxMJoPJZMLAwAAuLy+xs7MjmpP/xIhU70OxigSawmLbu7s7BINB7O/vM4dKkUxCMUQkVKBckM5ms1hfX4fT6eT8hhFTTYLX62WKgfgak0tKx+O6DkHKT4VcQFEU+vv7mTMiAoEApw56UkTsgfYppDT3np4eTE9PI5FIIBQKMfdi6dqfTqdbNpMgno0jkVEaSPL5PLa2tmC1WhtyF6wWsdQknJ2dIRqNYnh4mLMxhU67b29vw2Kx8P40K/R1iwGNRoPZ2VmMjY3h/PwcKysrOD09Ze3el1LAKkSq8wbEU7hYC+3t7RgdHcXCwgJz5P3+/j6i0SiAN9utlR4MP/vsM4yPj2NkZAQ/+MEPKo7xH//xH6AoCi6Xi5Nr4AqSSSihkj/B4eEh5HI5bDYbL/Oo56AlNiisSXh4eMD+/n7TtQIWjkfXIXD1uQrldyE1Cjsi6Ep0k8kEk8nUkl0mUr5nxFa4WAsKhQIqlQpvvfUWLi8v8Ud/9EdIp9OgKKqsSMhms/jggw/ws5/9DFarFcvLy3j//fcxNTVV9Lr7+3v8wz/8A95++22+LoU1pPlJ8szV1RXOzs4wOTnJ25j1HDDF1rj5fJ45Gnl6evrJdiE2x+QLejy6DmF6elqwBbnVMwml0JXo9BPd6upqQx0RUg22Up03IO25A2/mL5fLYTQa8W//9m/44z/+Y+zt7eEP//AP8ZOf/KRoXf7iiy8wMjKC4eFhqFQqfPOb38SPf/zjR3/zL/7iL/Dd736Xk5ouriEi4Rni8Ti2t7cxNzfHqzoWsnAxl8vB4/HAarVy4gFRbky+RQJffghPXZuUF1KuUSgUsNvtWFpaglqtxvr6OnZ3dxGLxYSeGqEKpH5v0/OXyWT47d/+bRiNRnz00Uf46U9/iqWlJfzjP/4jkskkjo+Pi7KQVqsVx8fHRX9rbW0NoVAIX//613m9BrZovTxeDeTzeayvr2Nqaop3BSjUfrVMJsPl5SUANHUrYCAQEKQOgVAb5ToilEolHA5HU392Un8abzbS6TQmJyfx0Ucf4erqCj/60Y+Qy+XKrluFn1sul8Of/umf4l/+5V94nC27EJFQgXw+j0QigdHRUUGOCBUqk5BIJHB9fY2vfvWrvC1SfIuEWCzG+LpzzXOZBLLdUB2lHRGHh4fMCaRPdURINdhKdd7NSiaTYdxC+/r68J3vfAfAmwepUCjEvO7o6KjoJOD7+3tsbm7iN3/zNwEAp6eneP/99/Hpp59y6rPDJmS7oQL0B89XoWIpQgSQdDqNcDgMi8XCq30un9f68PCA+/t7DA4OkkVYomg0GszMzGB8fByRSAQulwvhcFgQUc0VRCSIj3LbzcvLy/B6vfD7/UilUvjkk0/w/vvvM/+u0WhwcXGBQCCAQCCAr3zlK5ISCAARCY+gKArX19c4OTlBe3u7YF9UvjMJdNuPwWDgvZqcL5FAF2P29/fzdo0kW8AdHR0dmJiYwOzsLGKxGFwuF4LBIDKZTNHrSLAlcIVCocBHH32Ed999F5OTk/jGN74Bp9OJ733ve/j000+Fnh4rkO2GEhKJBDweDxYWFvD69WvBFD3fwcXn86Grqwvd3d1IJpO8jQvwd607OzuwWCx4eHgQReAmAoId6I4Ih8OBk5MTrK6uQqfTwWazSfb9JZkE6fDee+/hvffeK/rZ97///bKv/cUvfsHDjNiFZBJKcLvdmJiYgFqtFqwuAOA3k3B5eYnLy0uMjo4KErj4GDMcDiOdTsNms/F6jUQI8EdhR0RHRwfW19dxf39f8SAfsUNEgjho9e8vEQklzM3NMfbDQnkVAPyZKSUSCezs7DAtns0oEh4eHuD3++F0OkFRlKCW1wTuoTsilpaWoFKp4Pf74Xa7cXt7K/TUCCLnqXWhVb+/ZLuhBJVKxQgDITMJfAgU+uCmyclJxk1MiGvmMmjTdQhOp5NzU6hykO4G4aAoCiqVCmNjY0ilUjg8PEQ6nYbdbodOp2vZRZ9QGbLN8xgiEp5A6O2GdDrN6Ri7u7swGAzo6+tjftZsmQS6DqHQFIoE59aCoij09PRgZmYGsVgMoVAIfr8fVqsVRqNRshbCBPYhIuEx5NtRQjXHRfM1Dy4DWTgcRiKRwODgIK/jloOrMQvrEPgYrxwkkyAspe9vR0cHxsfHMTc3h3g8XrEjgtCalDsmOpvN8toSLjaISHgCoTMJXI0djUbh9/vLnlkgRB0GF8Hy4eEBPp+PqUMoHY/Q2qhUKgwPD2NhYQEURWF1dRUHBwe8d/Y0G1IXveUOp0qlUi17TDRAthuepBkzCZlMBhsbG5iZmSm7Ry/E6ZNsX2s1h1OJIZPA5zxamadEoUKhgM1mg8Viwfn5OdxuNzo7O2G329HZ2cnjLJsDqafryx1znUwmBalnEgtEJDyBUMc102OzLVDy+Ty2trbgcDjQ3d1d9jXNsN2wu7sLs9lc8XAqsaT5pbyYSoVqP2eZTIaBgQEYjUZcXV1hb28PcrkcDoeDl0POmoVyQVZKlNtuSKVSZY+JbhWISHgCIVsguQhkwWAQcrkcFouF13Gfg80xw+Ewksnkk8d6C1WTIPWnLKlSy3tOURR0Oh10Oh3u7u4QDAZxcHBAOiKqpFy6XkqU+44mk8mW3m6Q7qfJA81Uk3Bzc4NwOPxk8ORi3GpgK2jTdQjlai24GK9RxDKPZqaR97enpwfT09OYnJzE5eUlXC4XTk5OmuqMCLaRuhAul0lIp9MtnUkgIqGEZuxuSKVS2Nrawuzs7LNVulLNJFRThyAEUl4wCW9Qq9VMR0QikcCrV6+YUygJxUhdJJDCxccQkfAEzZBJoA9uGhsbQ0dHx7Ovl6pIeK4Oge3xaoFkC4SDzaBFd0QsLS1BJpNhdXUV+/v7pCOiAKmLhEqFi60sEkhNwhM0g0jY39+HRqOBXq+v6vVSFAmnp6fP1iGwOV6tEJ+E5kIul5OOiAo0Y+FiOp0mIoFQHqkXLkYiEdzc3NR0drnUahIeHh5wcHCAly9fVr048bmISXnBJDxNYUfE9fU1vF4vZDIZ7HY7ent7hZ6eIDRj4WIikSAigVAeKbdAxuNx7O3tYXl5uebqbqlkEnK5XN11CHx2NxCEg4/0N0VR6OvrQ19fH+7v73F4eMh0RPT397fUPdAM2w2kcLEYIhKeQCaTIZvNCjJ2I8GaPrjJ6XTWrIClJBJ2dnaqrkNgY7x6KRyrcBEVMlNF4Ibu7m5MT08jHo8jFAohEAjAYrFgYGBA0k/Y1dIMIqF0/qRwkVCEWLobGhl7e3sbJpOprpSnVBwX6ToEu93Oy3iNQh9RTeAXoYKWWq3G2NgY5ubmkEwmmY6Iag5tk3KditRFAulueAwRCU8gxRbIk5MT5jjcescVe01CLBbDwcHBs34ITyEGW2ZSuNj8qFQqDA0NYWlpCXK5HGtra03dESF1kUAcFx9DthueQGqZhPv7ewQCgZqK+EoR+3ZDI3UIhePxhZQXTAJ7yOVyWK1WmM1mRCIRuN1udHR0wOFwPOqIkHKgLRdkpQRxXHwMEQlPICWRkMlk4Ha7MTs7C4Wi/o9V7CJhZ2cHAwMDDfnpi6UFksA9Ygu4MpkMRqMRBoOB6YigKIo5I4K+N8U051qQ8tyBNyKndP0khYuEikilBTKfz8PtdmNoaAhdXV0Nj8s31V5rrX4IT40nBsh2Q+tS2hFReEZEb2+vaO7RWmkGkVBuu6EaI7pmhYiEEkoLF4VaxGv5ogUCAbS1tcFkMnE4I+6oJljSdQiNbKXUMh5bECEgPGIPWt3d3XA6nUxHhN/vRzabRTabfdZGXWxIXSRU2m7QarUCzUh4pLt5xANCbjdUy/X1Nc7PzzExMSH0VOrmuUBK1yE4nU7WzmUggZsgNuiOiOnpaeTzebhcLgQCgao6IsSC1EUC8Ul4DBEJTyB2kZBMJuHxeDA3NyfpYqHnRMLu7i4GBgZYc7ETSyaBZBkI5VAoFOjo6MDS0hIUCgXW1tbg9XqRSCSEntqzSN2WuZzIafABneUAACAASURBVPUWSLLd8ARiFgn00/X4+Dja29uFnk5DPBUsT09PEY/HWc2UkOBMEDN0oKI7IiwWCyKRCDY3N9HR0QG73d5w7RFXSN2WuVwmIZlMtnQmgYiEJxCzSPB6vejr60N/f7/QU2mYSkGbzToEoSCZBEKtlD7NUhQFg8EAvV6Pm5sbHBwcAIAoixybdbuBZBIIZRGycPEpzs/PEY1GsbCwIPRUWKFcsOSiDuGp8QgEsfCUqNRqtdBqtYhGozg8PITP54PNZoNerxdFcJa6SCDbDY8hIqGEUgUvtkxCLBaD1+ut+eAmMVMuaLNdh/DceFzx3FhErBDK8dx3u6urC06nE4lE4tEZEUJ2REhdJBDHxcdId/OIB8S23ZDNZrG+vo7p6emmUralgfTs7AzxeBwOh4Oz8fgmlUrhiy++wO7uLuLxuGDzIIifWgJte3s7RkdHMT8/j3Q6LXhHhNQLF8kBT48hmYQnEINIKFwwPB4PrFZrQ26DYqTwSxmLxbC/v895poTPTEIul8Pm5iaGhoYAvPkc29vb0dPTw8scCNKinqdxpVKJwcFB2Gw2nJ6eYm1tDVqtFjabjdfCZqkXLlY64KmVMwlEJJSh0BpVyHRw4TyOjo6Qz+dhtVp5GVuItGFhHQKXyp3vzzUSiaC9vR16vR75fB79/f24ubmB1+tFNptFX19f0wk/Qv00cm/K5XJYLBbmjIitrS20t7fD4XDw0hHRjNsNpHCRUBGhb3Y6mN3d3SEUCkm6yr8auKxDKIRPkZBKpXBzc4Nf+7VfQzabZcbXarUYHh5GJBJBMBhEJpOBw+GAVqtt6s+YUB1suIoK0REhdZFQyXGRZBIIokQmkyGZTGJzcxNzc3O8FSTR2yx8FkCl02nW/RCEJpPJIBKJYHR0FHK5nBEJhbS1tWFychIPDw84PDyE3+8XVbU6gX/YDLSlHRHBYJDTjgipiwRSuPgYIhJEjsfjwYsXLx4dJ8slfKfjY7EYkskk3nnnHV4WGL6ub2dnBxqNpuICUziPzs5OTE1NIZFIIBgM4vDwEFarFUajUdJ7vITa4SrQdnV1MfcY3RFhNpthMplYeyBohsLFciKhlbcbyOojYpLJJNRqNYxGI6/j8ikS6DqE9vZ23r6IfFxfOBxGJpNBd3d3Tb/X3t6OsbExzM3NIRaLweVy4ejoqGwWgtCccP00XtgRkclk4HK54Pf7WemIaIbCxXLdDVJ3tW0E6X6aTc7l5SVSqRRTEc8nfIqE3d1dGI3GR2e4cwnX1xeLxeDz+eB0OpkFM5/PI5vNIpPJVNUxo1Kp8OLFCywsLCCbzWJlZUVyh/0Q6oePp3G6I2JpaQkqlQpra2vY29tjWnTrQerbDcDj977VCxeJSCiD0Dd5IpHAzs4Oent7Bemu4Kv1k/ZDGBwc5HysQrj8fHO5HNxud5FTZD6fZ9KYFEUhm80inU4jn88/+/kqFAo4HA4sLi4yh/0cHBwglUpxdg0EYeH7O093RCwvL0Or1cLj8WBrawv39/c1/61mEAmlZDIZyR3ZzSakJkFk5HI5rK+vY3JyEqFQSBCRwEcmgS8/hEpwdX37+/vo7+9nOjTo95IuBFUoFExGIZvNIpfLld0HLYU+7MdsNuP8/Bzr6+vo6emB3W6HWq3m5FoIwiBUoKUoCnq9Hv39/bi9vYXP50M+n4fdbq+666YZRQIASW+hNAoRCc9Am+HwdZPs7u7CYDCgr68Px8fHgpg5cS0S6KftqakpQdJ4XF3f5eUlbm9vsbS0VPTzbDYLiqKYxVMul4OiKIRCIYyMjCCbzSKbzUIulz97n8lkMgwMDMBoNOLi4gIejwdqtRoOh4PX4lYCdwgdaCmKQm9vL3p7e8t2RDx1j/K5VhL4gYiEZ6BT73zc+Kenp0gkEkwboFAHTHG93bC3tweDwQCtVsvZGE/BhUhIpVLY2dnB4uIis8Dn83m0t7cjGAxCqVSir6+P+bf9/X0MDAxAp9Mhl8sxmYVMJgOFQvHs/Vb41EcbM8lkMgwODhInR4kjtEgopLAj4ujoCIeHh092RIhp7gR2ICLhGfgK1NFoFD6fryj9LtQBU1xmEs7OzvDw8IDx8XFO/r4Q5PN5uN1ujI6OFlVB53I5GAwGdHV14fDwEAcHB3A4HJDJZIhGoxgdHQXw5h5TqVTI5XJMViGbzUImkz27F1rYB393d4fDw0NizERgnfb2doyMjCCdTuPk5AQulwsGgwEWi6UoG9hsIoEcwEZEwrPwEagzmQzcbjdmZmaKjkUW6uwIrkRCPB4XtA6Bhu3rOzw8REdHBwwGA/Mzug6BoqiiE/t8Ph/C4TBGR0cfLagymYwRBoVigd6eeC670NPTg5mZmSJjJrvdjv7+/qZauJsdMQdapVIJh8PBnBGxvr4OjUYDm80GtVot6rk3QjNeU7UQkVCG0oWby0Cdz+extbUFu93+qKdeqLMjuBiX9kMQqg6hEDav7+7uDuFwGG+//TbzM7rdkR6Lpq2tDYlEAlNTU3h4eMDnn3/OFCMWZgzKiQX671YjFmhjpng8zpjmEGMm6SCFQCuTyZhtB7o2pq2tDalUSvRzrwTJGpSHrBjPwLVICIVCTAsS32NXgotxq6lD4PNkRjbIZDLY3NzE7OxskR9CLpcrayoTDAbR2dkJk8mEkZERLC0tIZPJ4IsvvoDf70cmkyl6vUwmg1KphEqlgkKhYGoXqvVaUKvVxJhJgkhBJNDQtTGLi4uwWq2IxWLY3t7G1dWV5IKulN53PiEi4Rm4DNQ3Nzc4OTnB5ORk2X9vlkzC+fk5Hh4envRD4Pta2Rhre3sbdru9qKuAbmksXWzu7u5wdnbG1CEAb1K3Q0NDePnyJeRyOV69eoX9/f1HHggymQwKhQIqlYrJwtBeC7UaM2UyGcaYqVSUEMSB1IIrTW9vL7q6ujA8PIyzszOsrKzg9PRUkAedeignEujtvlaGbDc8A1ciIZVKYWtrC/Pz8xVvwmaoSYjH4/B6vc/WIfApEtgY6+TkBLlcrigDVFiHUHitmUwGHo8HMzMzZdP9crkcdrsdVqsVp6enWF1dhVarhcPhKCqEpH+X3oagOyKqbZ9UKBQYHByEzWZDOBzG6uoqdDodbDab4FtAhC+R8hNtPp9HZ2cnJicnkUwmEQqFEAwGWT8jggvIuQ3lISLhGbgI1Pl8HhsbGxgdHUVHR0fF1wmZSWDjmmupQ5CSSIjFYggEAkVHd1eqQwDeeF/YbLZnfQwK93nPz8+xsbGBrq6ush4Icrn8UYFjte2ThcZMZ2dnxJhJhEhZJNBzb2trw8jICDKZDI6Pj7GysoL+/n5YrVZRBt5yW4TJZLKomLwVISLhGbgIXgcHB+jp6Smqhi+HkDUJbFxzLX4IfIuEeikUPoXnTdB1CKV/+/T0FNlsFmazuab5GY1GGAwGXF5eYnt7GyqVCkNDQ4+KW2mxkMvlkE6nazZmMplMGBgYIMZMIkLqmYTSudPW4oUdEWIUpeW2CVv9mGiAiISycNndEIlEcH19/ciVr9I8pLrdQNchVOuHIJWaBK/XC4PBwNgu03+r3DZDPB5HIBAoMliqBYqi0N/fj/7+flxfX2N/fx8AMDQ0VDQ+8OY+bWtrKzJmqlYsFBozXV9fY29vj1nYiTET/zSbSKApzJQVil+73S6K+6zcdkMymRRl1oNPiEh4BjZFQjwex97eXtU+ATKZTJBK9EYDdrV1CGyOWQv1jnVxcYH7+3ssLi4yP6O3GUoFQi6Xw+bmJiYmJlhJV9KGSff39/D7/djf38fQ0FCRiyNQbMxU6OJIZxyegqIo9PX1oa+vr6wxE4EfpFq4CFQncArF7+3tLQKBALLZLOx2+6P7mU/KzT2dTpNMgtATEDtsiQT64KZafAJkMpkgRwM3cs31+iGIXSQkk0ns7u5iaWmpqA6hUrujz+eDTqd79MTfKN3d3ZidncXDwwMCgQDj4mgwGCqKBTqrQD8pVVM8Vs6YSaFQSDqASQmpZhKA2uau0WiY+zkYDMLv98NqtcJgMPDu6UEyCeUhLZDPwJZI2NnZwcDAQE1PZFJsgfR6vdDr9TU/eYq5JiGfz2NzcxNjY2NFTxWV2h2vrq5we3uLoaEhVuZbjs7OTjidTszOzuLm5gaff/4503FRSKHXQmntQjX3NW3MNDU1hWQyib29PYTDYcm0tUkRKW831AvdEUELU5fLhVAoxGubbjmxT7obiEh4FjZEwsnJCVKpFBwOB+9j10O9Afv8/BzRaLSu4CjmmoRAIIDOzk7o9fqi3y9Xh5BKpbC7uwun08nLQt/e3o7x8XEsLCwgFovh888/RygUerRNVU4sFB5X/RxqtRparRbDw8PEmIljWlEk0LS1tTGeHvl8Hqurq/D5fI+8Q7ignOBPp9NEJAg9AbHTaPHg/f09AoEApqena/7iSymTQNchzMzM1F2kJ8bthtvbW5ydnWFsbIz5WaV2x3w+j+3tbbx48aLI34APVCpVzS6OSqWSuZZqjZmUSmWRMZPL5SLGTCzTyiKBRqFQwG63Y2lpCWq1Guvr69jd3UUsFuNszHLbDYlEouVFAqlJKEPp3m69T0v0wU2zs7NF7XLVImQLZC3XzMa5DGLcbshkMtja2sLc3FzR4lGpDuHo6AgqlerZ1lYuoV0c7XY7jo+P8erVK+j1etjt9qLPhj4fgm53pe2eKYoixkwE0VDYpnt5eYmdnR3OOiJI4WJ5iEh4hnqLB+njg4eGhtDV1VXX2FJpgay3DqGRMfnA4/E88gyg0/Oli0k0GsXJyUlVra18UK+LY+npk/UYM2k0Gtjtdt6zKaWI7X6qFpJJeExpRwTdecNmRwQpXCwPEQnPUO/T/OHhIdra2mAymRoaW+zbDXQdwsLCAm9j8sHJyQkAVGW7nM1msbW1BafTKTrb2XIujp2dnRgcHHzSxbFWr4VSY6atrS1izFQnRCQ8jUajwczMDGKxGILBIHw+HyunnFbKJBCRQHiSekTC9fU1zs7OsLy8zPvYbFCtOKnHD6ESYhIJdHvhy5cvmZ89Zbvs9XphNpvrzhjxQb0ujoVioZrPR2zGTFIMtkQkVEdHRwcmJiaQTCZxdHQEl8uFgYEBmM3murZ3K53dQLYbCE9Sa6BOJpPweDxYWFhouM9XzGc3sFGHUDqmGERCLpeD2+2G0+msynb5/PwciUSiamdJoanVxbHQmCmZTBb5LTw3TqExUyAQQC6Xg8PhQG9vLy9BUAz3Uz0QkVAbdEeEw+HAyclJ3fUxZLuhPEQkPEMtIoEOnOPj46x4kou5BZKNOoRax+SDvb09GI1GaDQa5meVthkSiQQODg7qtl0WmlpcHO/v75HL5aDVapnMQi3GTLOzs4hGo0x62G63o7+/X5LvG0Gc0B0RVquVqY/p7u6G3W5/8iA9GlK4WB4iEspQeKPUErz29/eh1WrR39/P2jzEWJMQiUQe2RNzPSYfRCIRRKPRoqxAJdvlfD6Pra0tjI+PS/5J4zkXx3Q6jb29PSwsLDxycaRrFiiKeja70NXVhampKcTjcQSDQQQCAdhsNs7c9aT6RC7leYuBwvqYq6sr7O7uMgKiUPyXksvlHm1TJJPJlq+pISLhGap9mj8/P8f9/X3DBXz1jM02T42bSCRqOn+iWoQWCbSbYLW2y4FAABqNBn19fUJMlxNoF8dEIsFYMdtsNlxcXODFixfMExXdOlnYEQF8GdyeC/hqtRrj4+NIpVIIhUJwuVxMcaXYCj+FQMoiQUzzpigKOp0OOp2OOYsknU7DbrdDp9M9mmu5+adSqab6jtcDMVN6hmoCdSwWa8hIqBJiyyTQ509MTk6y/vQspEig21XHx8ersl2+ubnBxcUFhoeH+Z4qLxS6OJ6fn+Pq6oqpRyikkotjJpOpStyqVCq8ePEC8/PzjDET3drWyogt2FaLmOdNn0UyMTGBy8tLuFyuR/bi5WoSyHYDEQnP8pxIyGazWF9fx/T0NOuBU2w1CV6vF/39/ZwoayFFQiAQQHd3d9E2UaU6hHQ6jZ2dHUxPT/N+AA3fZLNZJJNJvPPOOzW5ONK/W4uL4+DgIJaWliCXy7G6uoqDg4OGrXjFHLSaESm83x0dHRgfH8fc3Bzi8ThcLheCwSAjbMnZDY9p7lWOBZ4L1Nvb27BYLE/udTUytlgyCXQdAldPz0KJBNp2eXR0lPnZU7bLOzs7cDgcrBSmihm65mJiYgLt7e0YGhrCy5cvIZfL8erVK+zv7z8K4jKZDAqFAm1tbVAqlaAoqiaxQBszLS0toaOjA+vr69jb20MikeDqMkWJFIJtOaQ0b5VKheHhYSwsLICiKKyuruLq6uqRAE4mkySTIPQExM5TIuHo6Ai5XA42m42TsYVyXCy9ZroOge3tlEKEWFxo2+XZ2dmqbJfD4TAoimrIIEsqBAIB9Pb2FrVF0i6Ob7/9Njo6OrC6uord3d2yQVwulzNigbb5TqVSVd3PdOHZ0tIStFottra24PF48PDwUPN1SCVoFSKlYFtINa2xYkOhUMBms2FpaQkKhQKBQADb29u4u7sD8HQm4bPPPsP4+DhGRkbwgx/84NG/f/jhh5iamsLs7Cx+67d+C4eHh5xeC1dI6xPlidL2r3JPuHd3dwiFQpye9ieG7Qa6rXNycpJTRc23IKKflAcHB4vaoyrZLtPn3U9MTPA2R6G4u7tDJBKpmDWiXRzffvtt9Pb2YmNjA1tbW2WDuFwuh0qlgkqlYsRCtZkF2phpYWEBAwMD2Nvbg9vtZhbw5xBLtX2tSFUkSHXewJt7mjZnMhgM+Ou//mt8/etfx/X1dVmRkM1m8cEHH+A///M/4fF48PHHH8Pj8RS9Zn5+Hi6XCxsbG/j93/99fPe73+XrcliFiIRnKBe80uk0Njc3MTs7y2k1tlBfuEKRsL+/D51Ox3mFL9/bDel0GhRFwWw2Mz+rVIeQy+WwtbWFqampupzcpEQ2m4XH44HT6azKMMloNGJ5eRlGoxHb29vY2NjA/f39o9fKZDK0tbXVLRb6+vowPz8Pu92OQCCA169f4/r6WrJC4CmkGmylOm8aOhOi0+nwwx/+EH/+53+OjY0N/Nmf/Rl+8pOfFN2rX3zxBUZGRjA8PAyVSoVvfvOb+PGPf1z09772ta8xDyBf+cpXcHR0xOv1sAURCc9Q+jRPV8IPDw83bf8snT2JRCK4u7vjpYqfT5Hw8PCAVCqFqakp5mdP2S7v7+/DYDAIYivMN16vF1artaZ7m3ZxXFpags1mw/7+PtbW1nBzc/PotbSLY6FYSKVSVZ86qtFoMDs7i5GREcZdLxKJlL13pBq0pCp8pPp+05Rul/zGb/wGZmdn8Zd/+Zf46U9/ipcvX+Kf//mfkUwmcXx8XLTNbLVacXx8XPFv/+hHP8Lv/M7vcDp/rmjux6IGoINWafDy+/3o6OjAwMCAgLPjlkIDnULfAK7H5GNxpLdP1Gp1VbbLl5eXiEajmJ+f53xuQnNxcYF4PN6QxXQ5F8fBwcFHfemFls+01wK9SFeTnevq6oLT6eTNmIlvpBhspS4SKvkkDA8P46OPPkIkEsFHH32E8/PzsmtVpWv/13/9V7hcLvzyl7/kZN5cQ0TCMxR+8JeXl7i4uBDNccBckc/ncXd3h/n5ed4qe/kSCbu7uzCZTMwpj0DlbYZUKsU4DUp58auGVCoFr9fL2rWWujj6fL4iF0eacsZMtbg40sZMyWQSoVAIwWCQMWYCSLDlEykWLhbyXAukXq/HX/3VXwF4U7QeCoWY1x0dHRVtXdL8/Oc/x9/8zd/gl7/8pWS7JKT7ifJMIpHAzs7Oo0r4ZuTw8BBKpZJXpzE+REIkEkEsFoPD4WB+9pzt8ujoqGS/3NWSz+exvb2NkZER1q+VdnGcnZ3Fzc0NPv/8c5ycnDyqRSj0WlAoFI8yDM/R1taGkZGRImOmUCgkSOFvo0hVJEh13jTlOpoqnQK5vLwMr9cLv9+PVCqFTz75BO+//37Ra9bW1vAnf/In+PTTT2EwGDidO5c0d7RjiXw+zzgNtre3Cz0dTqH9EPi+Tq5FQrk2zkLb5dLFLRQKoaOjg7VzOMTMyckJlEol9Ho9Z2MUujjGYjF8/vnnCIVCT7o4KhQKRsRV6+JYaMwkk8lwd3cHn8/XsDETn0g12Ep13jTlupoqiQSFQoGPPvoI7777LiYnJ/GNb3wDTqcT3/ve9/Dpp58CAL7zne8gGo3iD/7gD/DWW289EhFSgWw3VEEymYTJZGp6D286kM7Pz8PtdvM6NpctkHSx6cTERFE7UzabLbuw3d3d4fT0tOm3lYA3luKhUIi3a1WpVBgZGYHD4cDR0RG++OILDAwMwGazFdWI0NsQdBEtbfdMURTkcvmz2Ty5XA6TyYS7uzuo1Wqsr69Do9HAbrc3vdAXimYQCbU4Lr733nt47733in72/e9/n/n/n//85+xPUgCISKgA/WR7enqKXC6HoaEhoafEKXRB38TEBNra2nivsOYyk+D3+6HRaKDT6Yp+Ti8KhQsb3QI4MzPT9NtKdGvn5OQk762dSqUSQ0NDsNvtOD4+xqtXr6DX62G324sWZfozoGsWMplMUd1CNW2a9ImAkUgEm5ub6OzshN1uF213klSDrVTnTVOpcLHVRSURCU8QjUbh8/mgVqslffNXw/7+Pvr6+qDT6ZgUPJ9wJRJubm4QiUSwvLzM/Cyfz0MulyMcDsNsNhd9tru7u7DZbKINIGwSCATQ19fHiaV4tdAujlarFaenp1hdXYVWq4XD4Xi0OMvl8kdiIZPJQKFQlBULhYs+RVEwGAzQ6/W4vr7G3t4eFAoFBgcH0d3dzcu1VotUg22zFy62KtL9RDkmk8nA7XZjenpa8GOM+Sjou729xYsXLwAIc44CF2Om02lsbW09ygrkcjlMT08jHo/j888/Z+y1z87OkMlkylYpNxu3t7e4vLwUTYasVhdH2piJFg31GjP5/X7RGTNJVSRIdd6FlM4/k8m0/PHlJJNQgc3NTdhsNvT09BR5JvANvSfL1dh0HUKhH4IQ18m2SKC7E4aHh8vaLre1tWF0dBSDg4MIBoP43//9X2QyGbz99tuSX+ieI5vNYnt7W5SdOrSLo8FgwOXlJba3t6FSqTA0NPToib/Qa6GazEIptDFTNBrF4eEh06ZZ6unAN1INtlKd91NU04bb7BCRUIHBwUHGYY92XRTiZqEL+rgYu7QOQUjYFgnHx8dM8RpNOT8Eem/86uoKfX19WFtbg8lkgtVqbVoL5r29PVit1iLxJDZoF8f+/n7c3Nxgf38fADA0NFR06BRQXizQ/1UTtEqNmfx+f1MZM/FFM4oEAhEJFent7WXSl0IdtMT12AcHB0wdgtCwKRKi0SiCwSBevnzJ/IwWCPRYhfj9fuh0OgwPDyObzeLo6AivXr2C0WiEzWaDUqlkZV5iIBKJIJlMSuqgqt7eXszPz9fs4phOp5kWympSxuWMmSwWCwYGBnhNOUs12Ep13oSnITK5AtWcBMnXPLgY++LiAjc3N0wdgtCwdZ3ZbJapJSm1XS7XB319fY3r62tmb14ul8PhcODly5dQKpVwuVzY39+XVJ99JVKpFPb39zE1NSXJxZx2cZycnMTZ2RlevXqFs7OzR/eNTCZjjv21Wq3I5XJIp9N1GTOlUimsrKzg8PAQmUyGq0srQqrBVuqFi6Xk83nJfhZs0jyfKIfwfYxxIVxkEhKJBHZ3dzE7OyuaLwBbImFvbw9ms7noMKZKtsvpdBo7OztMcWohcrkcNpsNb7/9NtRqNVZXV7G3t4dkMtnwHIUgn8/D4/FgZGRE8tXa1bg4hkIhaDQa9Pf3MwWO9HZELcZMQ0NDWFxchEwmw+rqKi/GTFINTFKdN+FpyHZDFQi53cB2JkFMdQiFsHGd5+fniMfjRan0p2yXPR4PhoeHn+yDlslksFgsMJlMODs7w+vXr6HRaDA4OCip/unj42O0tbVx6qrIN7SLYyqVQjAYxOeffw6r1QqNRoNwOMwYRBWeD1Fo91yt1wItGC0WC05PT4kxUwWaUSQ02/XUAxEJVdBMNQliqkMopFGRkEgk4PV6sby8XNZ2uTQQHB8fQ6lUwmg0VvX3ZTIZY8pzfn6OjY0NdHV1YXBwUNQFgMAbV8Wjo6Mir4hmotDFMRQK4dWrV7BYLMjlckW1BI26ONJtmiaTqciYyeFwsHoPSDXYlvueEaQPEQlV0CyZBLoOQYx2w41cZyXb5Up1CNFoFMfHx3W9D4UtehcXF9ja2oJarcbg4CC6urrqmj+XFLoqNnu/t1KpBEVRzBO+y+WqysWx1sxCoTHT1dUVdnd3oVQq4XA4WDNmkqpIkOK8gfJeNNUWvDY7RCRUQTNkEug6hEI/BDHRyJx8Pt8j2+VKdQi07fLU1FRDCwBFUdDr9ejv78f19TUTKMr18wsJ3bkhpKsiX9zf3yMSiTCHO9HbA9W4OBYWN9YiFnQ6HXQ6HW5vb+H3+5HL5eBwONDb2yvK7xmXSFkklCu6TCaTkq/fYQMiEipQeLNLvXCx8ElbTHUIhdT7Hl//P3tnHttaXp7/x45jx87i2ImTOPEeZ1/uvVmLBrW/thJIgxjRRS2VSkupQKVUSJWYGaRBdIZKHVo0ULFI7YiBoQIxapHoVC1My4w0dNShWW4yN4kT77sTx/GWeN9/f9yegx0vsRMvx8tHQmIcX5+vl3PO832X5/X54Ha782yXiemC1y9aOp0OY2NjVd3x8fl88Pl8+Hw+6HQ60Ol0yOXyht+YLy8v4fV6sbq62tB11IN0Oo2TkxPMz8+TF/vs9ACRIurt7YVMJsuz3abT6WCxWHleC+WIBSDfmMlkMkEikTTcmKmeNHN3QzFL5lZqf74tHZFQBs3eAqnX6zE4OFhxHUI9dwa3eZ+JRALHx8d48OBBnu1yofzoxcUFotEoZmZmqrLmohSbzAAAIABJREFU6/B4PPB4vJxdpVwuB4/Hq8nxSpFMJinrqlgLTCYTRkZGCqZ86uniSBgzhcNhWK1Wsg2zHYyZmjmSUGy4E1U3VfWkIxLKoJnTDbetQ6i3FXWlIoGwXZ6cnCxou3x93dFoFHq9HqurqzV/T1wuF/fv3yfNfwwGA+RyOfh8ft0+T61WC7FYTPmiympARExu+o3f1sUxu2aB6JK4CQ6Hg9nZ2TxjJqFQ2LJioZlFQifdUJyOSCiDZi1cjMVit65DqPeQp0qPZ7fbwWAwMDY2Rj5WrA6BEBQzMzN1PekJ859QKASTyQSj0QiZTIbh4eGaXkxdLhcSiURbDKpKpVJFvS5KUYmLIyEMrhc4luPrTxgzJRIJ2O127O7uYmxsDOPj4y1n+91qIiGRSHQiCeiYKZVFM0YSMpnMnfwQqCwSgsEgbDYb5ubmyMdK2S6bzWYMDAyAz+dXb8EV0Nvbi8XFRSwuLuLi4qKoU2A1iMViMBgMmJuba9oLdiUYDAYIhcJbj/auxMWxu7sbTCYTDAYjJ8JQqTETjUYjjZkSicSt1k1FmlkkFFp7J5LwmNaSsjWiGSMJt61DIKj3ey73fRK2y0tLSzlhX+KifX03cHl5CbfbTYniPTabjfn5eUSjUZjNZphMJkilUoyOjlYlBE0YRE1NTbXFxc3v9yMQCGBqaurOr0W4OEaj0ZzCw7GxsZzv5roxUzKZJOtfiP+V4rox0/7+Png8HsRicdMbM7Vi4WI7nEc30REJRbgecmymSILH47mzH0IjIgnloNFoMDExkVNwRkQR6HR6zutQtXivp6eHzFdbrVZYLBaIxeI756vtdjvYbDaGh4eruFpqQqQZ7t27V9XdazEXx/Hx8RuNmSrpiChlzNSstFokIZFIdEQCOumGsmhkC2Slx47FYlCr1VhaWrrTCdsIkXDT+zw/P0c0GoVYLCYfK2a7DABqtbrqbnjVhMViYWpqCisrK4hEItja2oLNZiPbNyshFArh9PS0KrvqZkCn00EkEoHNZtfk9QkXx7W1NSSTSWxvb8NkMuWlB4ioAovFIs2ciAmU5Zy3hDHT6uoqRkZGoFarEYlEEAgEavK+akkzi4RCkYRoNNoRCeiIhLJoZAtkJccm6hBmZmbuHLpsRLqhFER3QnaBWrbt8vV/f3p6CgAQCoW1WXAVKXRDslgsZYuFdnJVBB5HyiKRCCYmJmp+LKKWYGNjAwwGo+RU0GyxQKfTkUqlEI/HyxYLQ0NDWFlZAZPJhMlkwqNHj+D3+2vxtmpCq4mETuHiYzoioQyaJd1gMBgwODhYlXAzlSIJhPiZm5sry3aZ6FHPHvTUDBA3JMIYiti93jSi2Gg0QiAQ5Ey+bFUSiQR0Ol3dCzOzp4JyOBzs7e1Bo9EgGo0WfC6TySSnT1YSWSD+/fLyMiYnJ+FwOLC3twe3292wjUq5NLNI6BQuFqcjEsqgGQoXPR4PvF4vlEplXY9bLUpdXAwGA3g8Xk53QrF2x+xddbO2mDEYDEilUnL3urOzA4PBULAS3u/3w+/3QyaT1X+hDUCr1Ra0V64XRC3B5uYmBgcHcXBwAJVKhVAoVPC5hFggIguViAXCmGl2dhZutxsPHz6sWVdMNWi1wsVOTcJjmvMqWmeoHkkg6hCqaRRElUiCz+fLM8opZbtsMBggEAgabolcDbIr4c/OzvDw4UMMDQ1BKpWCyWQimUzWpHiPqlxcXCCZTOZ4YzSKbBdHr9cLtVpddHZHMRdHYm7ETVw3ZrJYLJQ0Zmq1SELHcfExHZFQBKp0N9x0s65mHUI2VGiBJGyXV1ZWCtouXz+pPR4PAoEAHjx4UJc11wtiWJFQKMT5+Tk5sCgWi0EikdSseI9KxOPxujlmVkL2kKfbuDgSO9hyxALVjZmaWSR0HBeLQx0ZSmEaXbhY6mZdzTqEbBptppTJZHB0dITJycmcm2CxNEM8HodWq8XCwkLTXqhugk6nQygUYnNzE8AvW10jkUiDV1Z7NBoNFAoFpS/ahIujUqmE1WrF7u5uwVqCbGOm6xMoKzFmWllZAQDKGDO1mkjoFC4+piMSyqDRLZDFbtZEHcLk5GRdj1sLrh/PZrOByWTm2S4nk8mitstKpbItTup4PA6v14snnngCAoEAR0dHRfPircD5+TkZ3m8GbuPimC0Wst1DS8FgMCCRSLC2toaenh7s7+9Dp9MhFovV6q2VpJlFQqdwsTiNj1E1AVSsSciuQ6hFXrLeIiGbQCAAh8OBjY0N8rFStss2mw0cDgcCgaCu62wEhCCanp4Gk8mEQCDA8PAwvF5vyemGzUosFoPRaLyTMVijuI2Lo8vlAofDubUxk8vlwuHhIWnMVE+PkGYvXLyesonH4w2zcqcSHZFQBlQTCbWqQ7jpuLWEuPGnUikcHR1hcXGxLNvlQCAAp9PZlDeR22C329Hb25tjt52dF/f5fNDpdKDT6VAoFE3dFpnJZHBycoKpqSl0d3c3ejm3ppCL48TEBCYmJnJ+46lUCiaTCQ8ePEB3dzeSySQZOStHLBQqpmQymZBKpXURja0WSeikGx7TEQllQLXCRYPBAC6XW1P73UZFEtRqddm2y6lUCiqVCouLi027g6mEYDCI09PTkoKIx+OBx+Ph8vISBoMBQOEiumbg7OwMTCazZWymCdMsmUwGm82G7e1tjI2NQSQSobu7G1qtFnK5nBT+1ydPlhtZuF5MaTQaAQBSqbSmv4NmFgmd2Q3F6YiEIlClu+H6sYk6hFrvnBshEhKJBOLxeNm2yxqNBiKRCH19fXVdZyNIp9M4Pj7G/Px8WZXwXC43ZxSywWCAXC4Hj8drigt5NBqF1WptyQgRg8GAXC6HRCLB6ekpdnd30dfXh0QikVd3QbRJEm2TlYgF4HEx5eDgIAKBACwWC4xGIyQSSd5I7GrQaiIhFot1IgnoFC6WBVUiCUQdQj0GFtW7oyMSiSAWi+V0J5SyXT4/P0cymayLNS8VMBgMGBkZqThsTBTRzczMkDckqrv3EdMsp6enKdHaVysIH4zV1VX4/X7EYjFotdqiLo4sFuvWxkz9/f1YXFysuTFTs4qEYj4JnUhCJ5JQFlRogaxHHUI29ezoSKfTODw8RE9PT1m2y5FIhCxma9aLUiX4fD5cXV2RLW+3oa+vD4uLiwiHwzCbzTAajZDJZBAIBJT7DB0OBzgcTtsUjRmNRkxOTpKFhwcHB+jt7YVMJkNvb2/Oc4sZMzEYjLI2DtnGTMQEUpFIlFdM2W50HBeL0xEJJSB28VRogTQajTWvQyh03HpgMBjA5/PhcrnIx26yXZ6dnW3qYrZySSaT0Gg0VXNV5HA4mJ+fRyQSISvupVIpRkdHKSEWwuEw7HY7Ob+i1fH5fAiHw5iZmbm1i2N2zUIlxkxTU1OUNWaqN5lMpmBNQifd0BEJZdHoSEI0GkUikahrfrZeIsHr9cLn82F9fZ0UCaVsl00mE1mc1w4Q466r7arIZrPJHaXFYoHZbC7YnldPiG6G2dnZtphmmUqlCgrASl0cCWFwvcCRRqPd+F0SIkQsFuP09BR7e3sQCARkMWW7UChi2Uk3PKZ940tNQiKRQDAYrEsdQjb1EEbxeBwnJydYXl7OixYUyhH6fD74fD7I5fKarosqEDnjWo67ZrFYmJ6exsrKCsLhMLa2tmC32xsSObNarRgYGGjKTozbYDAYMDExUVIA3sbFkcFg5Fk/30S2MROLxWq4MVO9Kdbd0IkkdEQCpSF2Vmw2u+5T72qdYiFsl5VKZc57K5ZmSCQSUKvVWFhYaIvcaTQahdForNu4a6I9b21tDfF4HFtbW7BarWREp9aEQiE4nc6auIdSEb/fj0AgAJFIVNbz7+LiSPgtlHM+E8ZM6+vrGBgYwOHhIdRqNcLh8K3eZ7PQKVwsTifdQGGMRiMGBgZweXlZ92PXWiTYbDb09PTktXwVs10+Pj6GQqFoi2FGxPudmZmpe8i3u7sbCoUCEokEdrud7OUXi8U1y1UT7Z1zc3NtIQDT6TQ0Gg2WlpYqrgO5jYvj9bqFZjBmqjedSEJxWv+MbFK8Xi88Hg+USmVDQr+1rEkgbJdnZmbIx4gIQjQazbtwOhwOdHd3N413/12x2Wzo6+traHU/g8GATCbDxsYGurq6sLOzA4PBUJMhQhaLBXw+v6ndISvBaDRibGzsTpbJhItjdpqoUOSHTqeDwWCAxWKhu7sbNBqtovZJoj5iZWUFIpEIRqMRjx49gt/vv/XaqUincLE4HZFQgkZVe8diMTJX39XV1ZCiyVrVJKRSKRweHmJpaSnPdnlycpIMbxK94qFQCHa7PUdQtDLBYBBnZ2dQKpWNXgqAx/35EokEm5ubYLFY2N3dhU6nQzwer8rrBwIBXFxctE2dydXVFXw+HyQSSVVej0gTra+vI5VKYXt7GyaTqaCYI7wWuru7Sa+FeDxe9iZkcHAQ9+7dg0KhgN1ux97eHjweD6U9N8qlU7hYnE66gWJkMhkcHh5ienq67nUI2dQq3XBycgKxWJzjkkhEEQQCAQQCAVwuFx49eoT+/n5cXV1hYWGhLards10VqRZ2p9PpEIlEGB8fh9PpxN7eHng8HmQy2a13W+l0GicnJ5R8v7UgnU6TdTXV3oAUcnEUCASQSCR5NzrCxTF7RHUlLo6EMVM4HCZTHmKxuKnFQrF0QyOvwVSh9c/MKlKPk8BoNKK/v7/hEw1rkW5wOp1IJpM5xVrXbZeJXOjGxgZisRgSiQRsNhsikUhV10JFDAYDRkdHKZ3zJQrbNjc3weVy8d577+Hk5ORW34/RaMTIyEhb2GoDgNlshkAgyDNIqiaEi+Pm5iY4HA729vag0WgKujjS6fQ7uThyOBzMzc1haWkJV1dXCIfDOD09bZinzF3oFC4WpyMSyqQevgFerxdutxtTU1M1PU45VPv9RiIRGAyGsm2X3W43AOCJJ56AQCDA4eEhVCpVy1ZZe71eBAKBqoWhaw2NRsPY2Bg2NjYwNDRU8fdzeXkJn88HqVRa45VSg2AwCLfbXbf3my3mBgcHcXBwAJVKhVAoVPC5TCYzRyzE4/GyO1tYLBaUSiU4HA6i0Sh2d3fr2hlTDQpFEpLJZFtEMG+ik24oE8IeuVZhUcIzYHV1lRKh12rOq0in0zg4OMD8/HxOtX4x2+VYLAa9Xk9+FgKBAMPDw/B4PFCpVOBwOJDL5Xcq/KISiUQCWq0W9+/fp4TrYSXQaDSMjIxAIBCQ309PTw/kcnnRCEEqlYJarb5VdX8zQqRVGtG9cb1L4eTkBEwms2wXR+Kad9PNMp1Oo6uri+yMOT09xcOHD5vKmOn6b7EcM6p2oCMSyqSWQ56IuQyNrkPIppqRBIPBgOHh4RyXxGJ+CJlMBiqVCtPT0zmhPhqNhuHhYQwNDcHr9UKlUoHNZkMul9c0fFsP1Go1ZDIZZb7725D9/fh8Pmg0GjJPfr1rwWAwQCgUtozIuwmr1Qo+n9/QNFKtXRyzo4GEMZNIJMLZ2Rn29/fB4/EgkUg63QJNSEcklKBe46KpUoeQTbVEgsfjgd/vz7GULmW7bLFY0N/fj6GhoaLrGhoaAp/PJ3dGLBar5M6VyjidTjJ03wrQaDTw+Xzw+Xz4/X4YDAYAgEKhAJfLhc/nQyAQoERKrR6EQiGcn59TahYF4eJIjBHX6/WQyWR546MLiQXgl4IgWywUShnS6XRMTExAKBTi4uICh4eH6Ovrg0QiaRuB2Ap0REKZ1KolkKhDoNJFBKiOSIjH41Cr1VhdXS3Ldvny8hIXFxdYXV0ta32EWCB2roQRULOIhWg0CrPZXNb7bUaIm9HV1RXZlheNRvN+D61K9iwKKoatCRfHUChETgaVSqUYGRkpKhaIVASRKiT+Vuh8zv73RMrD4/FArVaDxWJBKpVS9lzNZDIl31M70REJZVKLlkCiDmFlZYVyF5G7Rk4I2+WpqamybJeTySTpDVHJZ5G9c/V6vaRYKJRzpRJEWqURror1ZmBgAPfu3cPBwQFSqRRUKhXkcjn4fH5LX4RtNhu4XC64XG6jl1KSSl0cCVFA2D0TBk03fZdESmp4eDgnyiSTySj/GbUzHZFQJtVON2T7IZRjNVxvVXvXSILVagWbzcbIyAj5GHFhuS4QgMd5+buGIQmx4PP5oNPpyEIqKooFYphRu0yz9Hg8SKVS2NjYQDgchtlshsFggEwmg0AgaDmxEIlEcHp6SrkIYSkIF8d4PA6r1YqtrS1MTExgYmIip3CREA5EGoIQC0DhLoFCDA4OYnBwEIFAABaLBQaDAVKplFLCkSrraDQdkVAm1RYJJpMJfX19ZdUhEDfsZhEJV1dXOD09xcbGBvkYEUEgXjubs7MzZDIZjI+P337BWRCjpP1+P3Q6Heh0OhQKBWVsfwOBAM7Pz+s6+ruREN0bKysroNFo5M41EonAbDbDZDJBJpPlhbmbFWL2RrOOvCZcHGUyGWw2Gzm/o1CXAmHMZDabwePxSNHAYDBubcwkkUhaUjg2Kx2RUCbVFAk+nw8XFxdl7zJq3X5ZiNumV5LJJI6OjkhLaYJi7Y7ExaEWN8zBwUGsrKzg8vIyr4CuUaRSKRwfH7fNNEsA0Gq1BZ0Z2Ww25ubmbgxzNxsOhwN9fX1NP/K6XBfHQCCAq6srrK2tkdHCSl0cCWOmaDQKm80Gs9kMkUjUsN8CsfYOHZFQklp0N8TjcRwfH1dUh1API6fr3LZQk0gbFLJdvp5mSKfTUKlUmJubq9mEQQDgcrl48OABLi8vYTKZkMlkGiYW9Ho9hEIhZQu2qs3FxQWSyWTJ7o3sMLfFYsH29jZpAd1sYiEajcJutzdVmuEmCBfHiYmJHEtuqVQKFotFWmsT5zfhtUCIhUoiCz09PZiamkI8Hofdbsfu7i6EQiHGx8drdtMudJ2LxWIdt8X/oyMSyqQahYtEHcLU1FRFI49r2X5ZjNsIk7OzMySTSUxMTJCPlWp3JPwT6nWz5nK5uH//Pq6urmA0GpFOp6FQKOq24/N4PAiFQpienq7L8RpNPB4nTbHKCR0zmUxMTU1BJpOVzIlTFaKbYXp6uinWWymEi6NQKITL5cLBwQGAxymD66K3kDFTKpUqy5gJePxbqJcxU7G5Da1eUFwuzSXTG0g1WiCJOoTsYr5yaEQkodJjhsNhGI3GorbL109Cr9eLq6sryGSyai67LAYGBnD//n1MTU3BYrFgb28PPp+vpsck8vLEjqsdUKvVmJycrHhH1t3djcnJyZzJhmazmSyOoypOpxMsFquhI77rAeHiuLi4iHg8jmAwiIODAwQCgbzn0ul0dHd3g8lkki2UlVg+E8ZMq6urYDKZ2N/fh16vRywWq9r7KTa3oWP89JhOJKFM7rqbr7QOoZrHvg2VHDOdTuPw8BALCwtl2S7H43FoNBo8ePCgoTfM/v5+3Lt3D8FgEEajEUajkWzNqybEDlOhUDS1q2IlOJ1O0On0igVxNtk5cbvdjp2dHYyOjkIsFlNulxeLxWA2m1sqzVCKTCYDjUaD+fl50jirUhdHYgdfjv1xV1cXacxERDH6+/shlUorisoWolAkoZNu+CUdkVAmd7lR36YOIZtajW2+6ZjlRhL0ej0EAkHOhaGU7fLx8TGUSiVlbph9fX1YXl5GMBiEyWSC0WiEQqEAj8eriohxOp3o6urC6OhoFVZLfWKxGEwmU9WKUbu6uiCVSiESiW4cg9wo1Go1pqamalpbQyXOz8/BZDJJQX0XF0ci0kj8rxR0Oh1jY2MYHR2Fx+MhHVfvYsxUSCQkEolOJOH/aI9f9C2pRuHibesQsqmV22MpyhUJHo8Hl5eXZdsu2+129PT0UMqCmqCvrw9LS0sIhUKkWLir6U8kEqlZ9wYVIaImU1NTVd/tZxfQnZ2dYW9vD3w+nyygaxTn5+fo6urC8PBww9ZQTxKJRFERmO3iaLFYKnJxrKQjIntWCGHMRKPRIJVKK65xKpRu6EQSfklHJJTJbUWCyWRCb2/vncKuVE03VGq7HAgEcHp6SvkbZm9vLxYXF/PEwvVd0U0QUZOZmZm22WGenZ2ByWTW9IaZPRPg/Pwc7733HrhcbkOGZMXjcRiNRsr/pquJTqeDXC4vKQJ7e3sxPz9/JxfHcsUC4YtCGDMZjUZIJJKyxX2xwsWOSHhMe1y5qgCdTkcikajo39ylDiEbKhYuZjtGlmO7nO0P0CyV34RYCIfDMJlMpOnP8PBwWRcfi8UCLpfbNq6K0WgUVqu1bjdMOp0OoVCIsbExMk/d19cHmUxWtwFCGo0Gk5OTlKuRqBVerxexWKzs1NltXRwrjSwAvzRmCoVCsFqtZRszFUs3dETCYzoioUwqDfnftQ7h+rEbUZNQCovFAg6Hk5M2INIMhWyXtVotJiYmmtIfgMPhYGFhgbQTNplMkMvlJcVCIBCAy+Vqmx0mETWZnp6ue9SEqLYfGRmB2+2u2xjxi4sLZDKZO0UJm4lUKgWtVot79+5VnH67jYtjOp1GIpGoWCz09vZWZMxUKOoZjUY7IuH/6IiEMqmkeLAadQjXj13vSEIpLi8vcXZ2hs3NTfKxUu2O5+fniMfjOf4JzQiHw8H8/DwikUhOZOH6ToWImiwuLjadGdBtsdvt6O3tbWj7H41Gg0AgwPDwMHw+H9Rqdc2GfSUSCdIDol0wm80QCoV3uqaV6+IIPN4csVisHGOmSsRCucZMncLF0nREQplUsps3m813rkO47bFrTTKZhEqlwr1793JOrGLtjtFolMzZtoo/AJvNJsVCodkDer0e4+PjNd3FUolwOAyHw0GZ9r/syaDEsC86nQ65XF414y6tVgu5XN42u81gMAiPx1PVjpXrLo6Dg4MF60qyjZmyXRyJiMNNXDdm2t3dxcjICBnF6BQulqYjEkpwm+4Gn88Hl8tV1QsmlSIJJycnkEqlOTfAUu2OR0dHmJ2dbcmcbfbsAbPZDLPZjKGhobZyVSTSDHNzc5SsNSGK2ghL7nQ6Dblcfqc6EY/Hg0Qi0TYtrUTHyuzsbNUjY4VcHHt7eyGTyfJEdiEXRyIKUM5vjzBmIoTJ/v4++Hw++vr6OjUJJeiIhDIpt9q/WnUIlR67HpyeniKdTudMayzV7mgymciLdCvT09OD2dlZBAIBPHz4ECwWC+fn5xgdHW2Z6EkxrFYruFxuQ4dmlQNhyU308RuNRshksorbW5PJJHQ6He7fv9/y3y2B3W4Hl8ut6RTV7LoSr9eLk5MTMJnMgqmiQl4LRBriNsZMJpMJDAYD4+PjZCql47j4S9ojYVoFbrpRV7sOoZJj1wOiaC/bdhlA0ToEv98Pr9cLuVxe76U2hEwmA6PRiPn5eXLy5NbWFs7Ozhr+3dWKYDAIp9OJycnJRi+lbIg+/tnZWZydnWF3d5csQCwHvV4PiURCGSOwWhONRuFwOOr2HdNoNAwNDWFtbQ0SiQR6vR77+/sFbdOzLZ8ZDEZehOEmCGMmhUIBDoeD4+NjvPnmm9jd3S2ZbnjjjTcwMzMDpVKJL3/5y3l/j8Vi+P3f/30olUpsbm7CbDZX/DlQiY5IKJObuhuqXYeQTaPTDel0GgcHB5ifn8+pXCdOxus7qkQigZOTk7Yah3x2dgYGg4GRkRGwWCzMzMyQDnTb29tkFKZVSKfT5PS/ZvyOifbWhYUFXFxcYGdnB+fn5yXPM5/Ph3A4DKFQWMeVNhaNRgOlUtmQVBLh4qhUKmGz2bC7uwu32533HRUSC4TfQjnnXCaTQX9/P1ZWVtDf34/Pf/7z+Pa3vw2n05n33FQqhc985jP46U9/iuPjY/zwhz/E8fFxznNeeeUV8Hg86PV6/OVf/iWeffbZu30QDab5zu4GUWo3T9Qh1CoP3ehIgk6nw+joaNm2y8ScgmpHVKhKJBKB1WrFzMxMzuMsFgvT09NYWVlBKBTC9vY2HA5HS4gFov6i2l0D9YboWFleXobP58P29nbB6E8qlYJGo8Hc3FzbpBlcLhfodHrDnSSJ6M/c3BxcLldRQUen08FgMMBkMskoQDKZRCKRuDEKTFzHNjc38eabb+L//b//h7fffhu/+Zu/if/6r/8ij7W9vQ2lUgmFQgEmk4mPfvSjeP3113Ne7/XXX8cf//EfAwB+93d/F2+99RZlaspuQ0cklEmxFkiiDmF5eblmO6pGRhLcbjcCgUDOtMZSdQinp6dtNacgk8lApVJhdna2qD8AMQJ5ZWUFkUgEW1tbsNvtTSsWAoEA3G53QyZ41gqiroSoW7gu6AwGAyYmJtpG+CaTSRgMhjzh20gIF8fl5WX4/X5sbW0VjNAR9QosFgtMJhM0Gg2pVKqoWCjUAsnn8/EXf/EX+Na3voXXXnsNTzzxBB49egSHwwGxWEw+TyQSweFw5Pzb7OcwGAxwuVx4PJ5qfQx1p1O4WIKbuhtqWYeQzW3cHqtBOp2GRqPJa18sZrscCoVgs9ko0wpXD8xmM3g8Xt7Uu0IQhjJSqRQWiwVbW1sQi8UYHx9vmpB9Op0mnTObZc2VQER/sh0Ch4aGcHV1hampqUYvr27o9XpIpVJKVviX6+II/NKYKbvAMZlMgsFgkL/fdDqdJ/AJn4TZ2Vl85zvfgc1mQ09PD7Rabd56rl8HC23omjn61HpneY0oJBLMZjM4HE7NHdcaEUnIZDKIRqOYnp7OqfItlmZIp9NQqVSYn5+nZCtcLbi6uoLb7a64OLO7uxtKpRJra2uIxWLY2tqCzWZrisiC0WjE6OhoUzpnVgIh6FZXV+F0OhGLxWC1WskIWivj9/sRCoUoX3tBfEfr6+tIpVLY3t6GyWQquKHq6uoi0xCEaCAiC4U2PNdnN4jFYggEAohEIthsNvJxu92e0+0FIOc5yWQSl5eXDTUZuysdkVAm10WC3++Hy+WqSziuETUJZrM5Lx9ZynaZqFuoZZsUlSBcFe9SuNfd3Y3JyUmsra0hkUh/eUrjAAAgAElEQVRga2uL0jeiy8tL+P1+SKXSRi+lblitVkilUmxubiKTyZA3omQy2eil1QQiethMtReEi+PGxgYYDAZ2d3eh1+sRj8fznkt4LTCZTNDpdDKycJ1YLFawBXJ9fR06nQ4mkwnxeByvvfYannrqqZznPPXUU/je974HAPjRj36E3/iN32iaz7IQHZFwA8SXm32jjsfjUKlUWFpaqkvItd6RhMvLS5yfn6Onp4c8brbt8vUfvNvtRjgchkQiqdsaG41Op4NIJKqKq2J3dzcUCkXOjohqYiGVSpHdDM18wauEq6sr+Hw+SCQSMBgMyGQy8ka0s7MDg8HQkDRgLbFYLBgZGanbgKxqQrg4bm5ugsPhYG9vD2q1GtFoNO+5hFjo7u6Gz+cDm80m50QAxadAMhgMfPOb38QHP/hBzM3N4fd+7/ewsLCAL37xi/i3f/s3AMCf/umfwuPxQKlU4qtf/WrBNslmolOTUCZECyThIqhUKut2ItUzkpBtu3x0dESKhGK2y7FYDDqdLm9cdCvjdrsRiUSqHkUidkRisZgcgjM+Pg6RSNTwFI5er8fExERT3jxuQzqdhlqtzvMFybYTPjs7w8OHDzE0NETZ/H0lhEKhqrvFNoJKXBydTie4XC4GBwdzPBZK+SQ8+eSTePLJJ3Me+9KXvkT+/56eHvzLv/xL9d9Yg+hEEsqE2M2bzWaw2ey6Vu/XM5JwfHxMnkxER0epdkeVSoXp6emmv0CWSzweh06nq+mOOjt8SoS4zWZzwyILPp8PoVAIIpGoIcdvBGazGQKBoGikiE6nY2JiAhsbG+jr68Pe3h40Gk3BXWszkMlkoFara2K93CgIF8f19XWMjY3h5OQEBwcHCAQCAEAWPk5OTuZ4LXR1deHnP/85vF5vg98BNehEEiogmUzi/PwcGxsbdT1uvSIJRCsPUYhDiIRi7Y4WiwV9fX0YGhqq+dqoAOEBoVQq62LZ2tXVBZlMBrFYDLvdTo7XFYvFdRvHnEwmodFobjUeuFkJBoNwu91lDTOi0+kQCoUYGxuDy+XCo0ePMDAwAJlM1lTtkmdnZ+jt7aW8vfZtIFwch4aG4Pf7odfrATw+nxUKRc65RKfT8bOf/QxLS0v4nd/5nUYtmVK0hmSsA/F4HNFotKZ+CMW4ye2xGoRCIVgsFszPz5OPEf3FhWyXr66u4HK5oFQqa7ouKnF6eoru7m4IBIK6HrerqwtSqRQbGxvo6urCzs5O3YrndDodxGJxU93w7gLhJDk3N1fReU7sWjc2NjA8PIyjoyOoVCqEQqEarrY6xONxWCyWtjiXCRfH0dFRBAIB2Gy2HBfHSCSCF154AV/72tfaRhTfRCeSUAZEHQKLxWpITraYkVO1SKfTODw8xMLCQo6qJkTC9VRCMpnE8fFx3Qo3qUA4HG64B0RXVxc5xe709BQ7OzsYHR2FWCyuyZRNt9uNaDSK2dnZqr82VbFareDz+bd2kqTRaBAIBBgeHiYHFbFYLMjlcsq2jWo0GkxOTtYtOtVo0uk0eS5nMhnodDr89m//Nv7kT/4ENpsNf/iHf9hWqbWbaI8r/B2g0WiwWCxgs9kNG3dc63SDVqvF6OhoTqgxk8mAx+Ph8PAwbwCORqOBRCKpSmV/M0B4QFBlHHJ2FXd3dzd2d3erXmmfSCRqXntBNUKhEM7Pz6sylCx7UJFIJIJWq8WjR49wdXVVhZVWD7fbjXQ6XXOvFyphs9kwPDwMDoeD3t5e3L9/H9/97nfx9ttv4+WXX8bg4GDB9sl2pSMSbsDv98PpdDbUnrSWhYsXFxcIhUIFbZfFYjGWl5fhdruxs7MDl8tF2qBS3WilmpjNZvD5fMrla+l0OikWWCwW2R9eDbGg0Wggl8vbZlwuUW9Si8I9Ho+HlZUVyGQyGAwG7O/vw+/3V/UYtyGVSkGv17dVpCgajeLs7CzPUlwul+Pq6gqvvvoqrFYr1tfX8Y1vfAPhcLgxC6UQHZFQAiIU1Yg6hGxqFUmIxWLQarVYXFwsarvMZrMxPz+PpaUlOJ1OnJyc1D0n30guLy/h8XgoPfKaTqdDJBJhc3MTbDa7pJlMObhcLqTTaYyNjVV5pdTFZrOBy+XWVAhyuVxyqqHFYsHDhw/h9XobNpfFYDBAJBK1jRAEHkdNp6am8iKCr7/+OoRCIT784Q/jS1/6Et555x1EIhE8//zzjVkohWiPJNQtodFoWFtbyzmJC5kJ1WMd1b6QEHMnZmZmyrJdZrFYiMViWFxchNvths1mg1wux9DQUMuGowkDoUaLxHIh2vKEQiGcTif29vYq7uGPx+MwGAxYXV2t8WqpQyQSwenpad3qTfr7+3Hv3j0Eg0GYzWYYDIa6n0tXV1dtN4/C7XYDQF43ViAQwN/+7d/izTffJD//gYEBPPPMM3VfIxXpiIQbyL5BE/+/3jfFWkQSzGYz+vv7y7ZdNhqNGB4exujoKEZHRxEOh2EymWAymVpWLGi1WojF4qYzECLMZMbGxkixwOfzIZVKb9w1qtVqTE5Oto3vRSaTwfHxMWZnZ+teb9LX14fFxUWEw2GYzWYYjUbIZDIIBIKankuEUVQ71ZsQqZX79+/n/e3FF1/Epz/96baqy6gE6m+PKEQjZigA1Y8k+P1+nJ+f5+wiStkue71eXF5e5uTxOBwOFhYWsLCwAKfTid3dXXg8nqaem57NxcUFYrFY3vCWZoIQC5ubm+jv78f+/j40Gg1isVjB5zudTtDp9La6WDocDvT19ZU1xbNWcDgcMqXn9Xqxvb0Np9NZs3PJZrNhaGiIst0WtcBsNkMoFKKnpyfn8aOjI2xvb+NTn/pUg1ZGfToi4QZuGhddD6p5XKJ98XoIvZjtcjweh0ajybOnJeBwOFhcXMT8/DxpU9vsYiEej0Ov17fMTotGo0EoFGJzcxNcLpcUC9nugLFYDCaTqaEFuvUmGo3CbrdTxh+AzWZjdnYW9+/fx9XVFba2tshC4WoRiURwdnZG6RqbahMKheDxeCAWi3MeT6fTePrpp/H1r3+dEl1LVKWTbqiAZhcJhI2yTCbLCaGXsl0+Pj7G5ORkngK/Tm9vLxYXFxEKhWA0GmEymaBQKJpuRCrxnpVKZcuF3Gk0GsbGxjA6Okq6A3K5XEilUqjVakxPTzeszbfeEN0M09PTlLtBsFgsTE9Pk7bBW1tbEIvFGB8fv1NtDPGeZ2ZmmqLGphpkMhloNBpMT0/nvecf/OAHWFxcLMtZs53piIQKaPZ0w+npKRmCJiDqEIjjZGO329HT01NR+Lm3txdLS0sIBoM5YoHH4915/fXA4XCAxWK1dAcH4Q44MjICl8uF3d1ddHV1NV3txV1wOp1gsViUFrFMJhNKpRJSqRQ2mw1bW1uYmJjAxMTErYSN0+lET09P05yL1cDlcqGnpycvneT1evGtb30LP//5zxu0suahPeRklai182Gp494VwnZ5bm4u53GiDuG6yg4Ggzg9Pb119XNfXx+Wl5cxMzMDm82Ghw8fwufz3Xr99SAUCsFut2N6errRS6kLNBoNAwMD5ECpw8NDHB8fIxKJNHppNSUWi8FsNjfN95w9SjydTpMDvyqx5U4kEjCbzW3VzZBMJmE0GvPSSZlMBi+88AKefvrpthJMt6UTSaiAesxQqAXpdBoHBwdYXFzMsV4lxqJeFyGpVAoqlQoLCwt3DsUSYiEYDMJgMJCRhUYWihUinU7j+PgY8/PzlAs/14psAyEej4exsTG43W4cHh6ir68vLy3VChDTDqempprOhpjBYJADvxwOB3Z2djAyMgKJRHJjmkir1UKhULRNOgl47AMhkUjy0oYPHz6EwWDAP/7jPzZoZc1Fc50lDaZR6Ya7otFoIBQKMTAwQD5WrA4BeHxBGR8fr2r1c19fH+7du4dAIACj0Qij0UgpsWAymTA8PJzzGbU6drsdvb295G4qe+6A2+2GSqUCh8OBXC5vGbHgcrnQ1dWV0/rbbBAzPEQiEU5PT7G7uwuBQFDwhgg8Dq3H4/G26loJBAIIBAJ50aJkMolnnnkG3/72t9umLuOudETCDVChu+EuXFxcIBwO51ivlqpDcLlciMfjNRtwQhjJBAIBGAwGclxrIy2P/X4/fD5fWxkIhcNhOByOggZC2WLB4/FApVKBzWZDLpc39byOeDwOo9HYMoVqhNPm+Pg46YfB4/Egk8lIP4xUKgWtVttWo76JaNHs7Gzee37llVfwq7/6q1hcXGzQ6pqPjkiogGYTCdFoFFqtFuvr60Vtl68/n3Dbq/UFpb+/n2z1MhqNDRMLyWQSarW67S6ix8fHNw6sotFoGB4extDQUM5EQ4VC0ZRigZh22Gohd6IYWSgU4vz8HO+99x7ZteJwODA+Pt42o76Bx8XHAwMDeZM8nU4nXn31Vbz77rsNWllz0hEJFdBMIoGwXZ6dnc0JQZZqd1SpVJiZmalr69/AwADu37+Py8tLGI1G0Gg0KBSKuoX9tVotJBJJW11ELRYLBgcHyxZkxERDPp8Pn88HtVpNFtM1iyGPy+VCJpNp6ZB7dovrxcUF3nvvPcTj8ZaJnJRDPB4vONI9k8ngC1/4Av7qr/6qKQVuI+mIhApopsJFk8kELpeb41NeynaZeH6jWsKI4TeXl5cwGAyg0WiYnJzM2w1UE5fLhUQi0VYTLYPBIFwu161uHDQaDXw+H3w+H16vFxqNBt3d3ZDL5TX9nu5KIpFoq3kURLrIbDZDoVDg+PgYbDYbMpmsaUTdbdHpdFAoFHlFqe+88w6urq7wW7/1Ww1aWfPSEQkV0KgWyErx+/24uLjIUdPZtsvXC3b8fj88Hg8lLqKEWPD7/dDpdOjq6oJCoaj6TSgWi9UttUIViA6Oubm5OxdtEWLB5/PV9HuqBlqtFnK5vOXMsUpht9vB4/EgFoshEong8/mg0WjAYDAo+z3dFb/fj1gslhctisfj+MIXvoDXXnutbc71atIRCRXQ6HRDOcOlEokEVCoVHjx4UJbtciKRIHPyVKr2HRwcxMrKSo5YmJycrMpOiMjJT01NtdWNw2w2Y3h4uKo3CB6PBx6PR35PdDq9rumim/B4PEgkEhgdHW30UupGNBrNKUrNjgD5/X7o9XoAaHjBcDVJp9PQaDRYWlrKu8Z961vfwoc//GHK2G83G9S5K1AUqnQ3lOO6SNQVKBSKsm2XT05OIJPJKJuTJ8SCRCKBRqPBwcEBgsHgnV7TbreDzWY3dRtcpQQCAXg8npwhXdWE+J7kcjkMBgPee+89XF5e1uRY5ZJMJqHVagtWubcyhA9EoaLUwcFBPHjwAJOTkzCbzdjb26O8yVk52Gw2DA8P57Xq2mw2/OhHP8Kzzz5b9mt94hOfwMjISNEOiEwmg89+9rNQKpVYXl7G3t7endZOdToioQKoLhIcDgcYDEZOjr1Uu+PZ2Rm6urowNjZW/QVXGR6Ph9XVVYjF4juJhVAodCcnyWYk2yiq1tEiIl0kl8thMpmwv7/fMLGg0+kglUpvnDvSSrhcLjAYjJxapEIMDAzg3r17mJ6eht1ub+oprtFoFGdnZ3kCOJPJ4Nlnn8WLL75Y0W/g4x//ON54442if//pT38KnU4HnU6Hl19+GZ/+9Kdvu/SmoCMSKqCRIuGmYweDQVit1hw/BKC47XIoFILVam26qX+EWBCJRFCr1Tg8PEQoFCrr36bTaahUqhtb/1oNg8GAsbGxulZ1c7lc3L9/H5OTkzCZTNjb24Pf76/b8b1eLyKRSFsVpRIFmpXYTff19WFpaQlzc3PkyPeLi4umEgsajaZg5OQ///M/wWQy8cEPfrCi1/vVX/3VkgXcr7/+Ov7oj/4INBoNv/IrvwK/34+zs7Nbrb0Z6NQkVEAjuxtKRRJSqRQODw/Ltl0mbpbz8/NNZ01LwOfzwePx4PV6yertm8x+jEYjBAIBZfLl9cDv9+Py8rJhRalEi2u206ZcLq+pZ347GggBgF6vh1QqvVWdTW9vLxYWFhCJRGA2m2E0GiGTyTAyMkLpz9DtdpMtutmEw2F86Utfwr//+79Xff0OhyNn7LRIJILD4WhZQdqcd4gGQdVIAmGjXK7tsl6vx+joaNPfLLP797PFwvWaDODxzdLv91Oig6NepFIpqNVqLC8vN/xCn+20aTKZSLFQi5ZbvV6PiYkJytbZ1AK/349IJJIXSawUNpuNubk5RKNRWCwWmEwmSKVSjI6OUqqwGXj8+9br9bh//37e31566SV87GMfq4lzbKHNWqPPr1rSEQkV0MgWyGIiweVy5V0cCIEA5P943W43gsFgS+Xks8UCYSOcPXOgHV0VgV/eLKk0d6G/v58c+EWMEiciC9X4bvx+P4LBYNNMeKwGpSr7b0tPTw9mZmYQj8dhsVhgsVhIC2iqiAWz2QyhUJhXb6DT6fDWW2/hf/7nf2pyXJFIBJvNRv633W7H+Ph4TY5FBajxbVMYKnc3RKNR6HQ6LC4u5tkuE6ZJ2cRiMeh0OiwsLLTkzZKwEV5bW8Po6CiOjo6gUqmgUqkglUrbamfp9XoRCoVqNoPjrhDTQWdnZ+FwOPDw4cM7F84RkZO5ubmW/H0Xw2w2Y3R0tCZikMlkYmpqCqurq4jFYtja2oLVaiWLoRtFKBSCx+PJCfsDj699Tz/9NF566aWa2W8/9dRT+Kd/+idkMhn87//+L7hcbsumGoBOJKEiqJRuuMl2mU6nF7RdnpqaIoe/tCrZMwf0ej0uLi7Q3d2NwcHBthAKROvf/fv3KX+z7O3txdLSEkKhUE4aYmhoqOK1m0wmCIVCSkVOak0oFILb7a659XJ3dzcmJychlUphs9mwvb0NoVAIkUhU97qmTCYDjUaD6enpvKjGv/7rv2J8fBzvf//7b/36f/AHf4C3334bbrcbIpEIL7zwAhKJBADgz/7sz/Dkk0/iJz/5CZRKJTgcDr773e/e6f1QHdoNyr15SlxrRCaTQTweB/A4lOlwOLCwsFD3dRweHkIqlZJ1BAaDAel0OidtUKrd0WKxIBqNNl03w12IxWLY29vD6uoqLi8vYTKZ0NfXB7lc3tJi4fj4GIODg00ZAg2HwzCZTAiHw5DJZBgeHi5LLFxdXUGj0WBtbY3ywqhaZDIZ7O3tQalU1t0UKZVKwW634/T0FKOjoxCLxXUbnOV0OuH1ejE/P5/z+NXVFT7wgQ/gzTffbOkZHTWi6EnTSTdUAFUiCT6fD263G5OTk+Tfs22Xr18kr66ucH5+3lJ1CDdBRE6mp6fBZDIhEAiwvr6O4eFhHBwc4OTkBNFotNHLrDputxvxeLxpw58cDgcLCwtYWFjAxcUFdnZ2bmzJS6fTODk5wfz8fNsIBAA4PT1FX19fQ1wTu7q6IJVKsbGxge7ubuzu7kKv15MbqlqRTCZhMpkKuie++OKL+PM///OOQKgyHZFQAVSoSUgkEjg+Psby8nJZtsvJZBLHx8dYWFigTMFRPbDZbOjt7c1pjaLRaBgZGcHGxgb4fD4ePXoEtVrdMmIhkUhAp9O1RE6ew+Fgfn4eS0tLpFggJjlex2w2Y2RkpK2m+8ViMVit1pyNQiPo6uqCWCzG5uYm2Gw29vb2oNVqEYvFanI8g8EAiUSS1+Z5dHSE3d1dfPKTn6zJcduZ9rlr3JLrhYuN8kmg0+lIpVJQqVSYnJzMCZeXanfUaDQQi8VtdQENBoM4Ozsr6tVOo9EwOjqKjY0N8Hg8UizU6sJWLzQaDeRyeUvVnLDZbFIseDwe7Ozs4Pz8nDwPg8Eg3G43pFJpg1daXzQaDZRKJWV8Tuh0OiYmJrCxsYH+/n7s7+9XXYAHAgEEAoG8NFo6ncbnPvc5fP3rX28rk7R6QY1fWJPQyBZIGo2Gi4sLMBiMHBvlUnUITqcTqVSqKXPTtyXbgvimCwYhFkZGRnB+fo79/X3weDzIZLKmu9G6XC6k0+mmsNi+Ddn9+2azGWazGRKJBFartS5201Ti4uICACAQCBq8knzodDqEQiHGxsbgcrlwcHCAvr4+yGSyOxWUZjIZqNXqgnM4fvCDH2B5ebmtPFDqSUckVEAj0w3JZBIejwdPPPFEzuPF6hAI57R2GoUMPA5HjoyMVDTpkEajYWxsDKOjo00pFuLxODn2utXp6enB7OwsotEoDg8PEYvFEAqF0NfX1xa/82QyCb1ej5WVlUYvpSTZAtztdkOlUpXliloMh8MBLpebd157vV5861vfws9//vNqLb3DNdpHfleBRomEVCoFl8sFiUSSszsulmZIp9M4OjrC7Oxs3SqOqYDP58PV1dWtQ8+EWNjc3MTAwAD29/eh1WprXox1F4hJnkqlsq3GXhOW4+vr67i8vMTW1hbOzs6aaubAbTAYDBCLxU0hXoHH55RAIMDa2hqEQiHUajUODg4QCATKfo14PA6bzQaFQpHzeCaTwfPPP4+nn366pjbf7U4nklAGRNFgo0SCRqMBl8vNuTBkMhkkk8mCdQhGoxFDQ0MYHBys91IbRiKRgEajqYo3AI1GI0OmTqcTe3t7GBoaurUvfi1xOp1gMBiUDD3XCkIYzc7Ogs1mY2ZmBrFYjHQGlEgkGBsba7kUxOXlJQKBQFO6SRKuqENDQ/D5fNDpdKDT6ZDL5Td2Z+h0OigUirz6i93dXRiNRrz88su1XHrb0xEJFdAIkXB+fo5YLIbBwUFyl1TKdtnr9eLy8pLy4chqo9Foqj4WmBALo6OjlBQLRH6+1kY6VMNms4HL5ebcXFgsFqanp0kb4e3t7ZYSC4T1ciu4pfJ4PPB4PNK7JJ1OQ6FQFNzU+P1+xGKxvLbGZDKJZ599Fq+88kpLfL9UpvPpVkC9T85IJAK9Xo+FhQV0dXWRwqCY7TKxm26FC0klENXutfIGoNPpGB8fx8bGBjgcDh4+fAi9Xk+6sDUCYjc9PT3dVimlSCSC09PTvNAzAWEjvLKygnA4jO3tbTgcjobVElULq9WKoaGhlupSIsaJT01NwWq15llzE8KoULHiK6+8gl/7tV9riLFdu9GJJFAUwnZ5bm4OTCaTjGKUsl0+Pj7G5ORkVXfTVCcajcJoNNZlN020eQmFQpydnWF3dxcCgQBSqbTuN+rT01P09PTkjchtZYjf+Ozs7I2dK0wmE0qlElKpFBaLBVtbWxCLxZQaUFQu4XAY5+fnWF9fb/RSagIx9CvbmlsmkyEUCmF4eDivK8LpdOLVV1/Fu+++26AVtxfNdba0EQaDATwejxylS7RfEhGE68ra4XCAyWS2ldsYcdOYmZmp602aEAubm5vo6enB7u4uDAZD3SILkUgENputrRw0gce/8b6+vopqbbq7u6FUKrG2tkYOKLLZbE0TWSBa/2ZmZppO3FRKb28vFhcXsbCwAKfTCYPBAA6Hk1OMmslk8Nxzz+H5559vqagKlWntX12VqHfo3ufzwev15ripESKhULtjMBiEw+FoyoKmu2Cz2dDX10cKqXpDp9MhEomwubkJFotVF7GQLYyoYqRTD6LRKOx2e1GDrJsgBhStra0hkUhQZprhTTidTrDZ7LYqQuZwOEin05ifn8fl5SV+8Ytf4NVXX0U8Hsc777yDQCCAj3zkI41eZtvQEQkUIx6P4/j4GEtLSzk7BzqdDq/Xm3cDIlwYyzEPaiWCwSCcTuetbxrVJFssMJlMsuo6mUxW/Vg2mw39/f1t1fKVXX9x1994d3c3FAoF1tfXkUqlsL29TVmxEI/HYTabKfEbrydut5ssGp6dncXc3By2t7exvr6Oz3/+8/jKV77SVjVXjabr+eefL/X3kn9sF4gdPPD4In19hnm1IOoQpFJpzs4hk8mAxWKRI1JjsRj6+/vR1dUFrVaLoaGhtmqBS6fTePToEebn5ynVL06j0cDlcjE+Po5QKAS1Wo1kMon+/v6qhIpDoRCMRiMWFxdbPvSczdnZGZLJJCQSSdVek06ng8fjQSgUwu/3Q6PRIJ1OV+27qgYnJycQiUTk5Nd2IJVK4ejoCAsLC2SkjM1m40Mf+hD8fj8uLi7w/e9/H5lMBktLS20VTasxLxT7AzXOhg4AHgsQJpOJ0dFR8jHCdplGo5He6ERo+/DwEJFIBCKRqIGrrj96vR6jo6Po6+tr9FIK0tXVBYlEgo2NDXR1dWFnZwcmk+lOkYVKivZaCcL/oFapNAaDAblcjvX1dWQyGWxvb8NsNjc8suDxeJBMJtuqxgh4PKxLKBTmFV/bbDb8x3/8B37605/i7bffhtfrxcbGBr7zne80aKXtQ0ck3IJauLoFAgE4HA7Mzs7mPH69DoEIbd+7dw9erxeRSISy4dJa4PV6EQwGq7qrrBXZYoFOp2NnZ+fWNyCLxQIej9eQscCNgijam5qaqvmOkcFgQCaTYWNjAzQaDdvb23cWdrcllUpBp9MVbP1rZUKhEDweT16kNpPJ4JlnnsGLL76Inp4eDA4O4rnnnsO7776LpaWlBq22feiIhAoh3BerCRFiW1xcLMt2mcjRLi0tYXNzk9wBNVPV9m1IJBLQarWYn59vqotnV1cXpFJpzg2oErEQDAbhcrmKegO0Ki6XC11dXRgeHq7bMbO/q2pFgSrFaDRifHy8rVqZiVTq9PR0XrrnjTfeQE9PDz7wgQ/kPN7X19eybaFUoiMSyuD6uOhq34jVajUmJiZyhpeUsl02m83gcrng8/no6uqCTCbD+vo6WbXdCuYxhVCr1ZDL5U178cy+AQHA9vY2LBZLSbFATLWcm5ujTK68HsTjcRiNRszMzDTk+IVSRkajseZtroFAAH6/v2Z1T1Tl/PycjBJkEw6H8dd//df46le/2lQbg1aifa46VaLaIsHpdCIej+dcFErZLl9eXsLtduftKhkMBhQKBdbW1hCJRLC9vd1SA2+cTic5Wa7ZyRZ26XS6ZIW9yWSCQCCoaKplK6DRaDA5OdlwN0lCLGxubqK7u7umba6lxiG3MslkEiaTqWAXxwm8DtgAACAASURBVEsvvYSPfexjmJiYaMDKOgAdkVAx1RQJkUgEBoMBi4uLeVMciTRDNolEAicnJyWr2wnzmJWVFQQCAWxtbZG2xc0KMaOgUbvKWpFdNFeoHe/q6gper/fWUy2bFZfLhUwmQ6miPTqdDrFYnOOJUW1rbpvNBh6P13aC0GAwQCKR5M1D0Wq1eOutt/DZz362QSvrAHREQsVUSySk02kcHBxgfn4+Z7dUqg5BrVZDKpWCzWbf+PpMJhPT09N48OABfD4fdnZ2cHFx0XRiIZPJQKVS1d1VsZ5ki4VkMkmKhePjY8zPz7dVmiGRSMBgMOQV8FKFbE8Mwm1Tr9ffeZw4MZNCLpdXaaXNQSAQQCAQwPj4eM7j6XQaTz/9NF566aWWPe+bhfa5+lSJaokEg8GAoaGhHFOc7HbH61GEs7Mz0mCkElgsFmZnZ7G8vIyLiwvs7u7mDFGhOlarFQMDA21hHpSdMiKmf3q93pasLymGVquFXC6nxJTNUmSLBTabjb29Peh0uluJBWIDUA2zqGYi23L6+vXuxz/+MUQiEd7//vc3aHUdCDoioUKq0d3g9Xrh8/lybJeJCEIh2+VwOAyr1Xqn3VVPTw/m5+exsLCAs7MzPHz4ED6f79avVw8CgQDOz89zPqd2IBQKgU6n433vex/i8Ti2trZgt9tbXix4PB4kEommqjsh5nhsbGygt7cXe3t70Gq1FYkFl8sFJpPZMHvxRuFwOMDlcvPSK1dXV/jKV76Cv/u7v2ur2gyq0hEJZVDN7oZ4PI6TkxMsLy+XVYeQTqdxdHSE+fn5qvSKczgcLC4uYm5uDjabDXt7e/D7/Xd+3WqTSqXaMtyeSqWgVqsxPz8PJpNJzhuIRqMt3bmSTCah1Wqbtmgve5x4f38/9vb2SHfUUiQSCRiNxrYb1hWPx2Gz2Qq29f7N3/wNPvOZz7SViyyVod2wK26OmHSNSaVSZJ/08fExhELhrcLfmUwG+/v7mJiYyHNVLNbuqNVqwWQyIZPJ7vQeihEIBGAwGJDJZDA5OUkZC1iNRgM2m90UpknVRK1Wo6+vr6CLZiKRgMViwcXFBSQSCYRCYcsIqJOTE9LSuhXIZDJwOp2kCZZUKi3Yunt8fEzaQ7cTKpUKw8PDeVGjw8NDfO5zn8Pbb7/dVqkXClBUmbfGFaaO3CWSYLVa0dPTU9B2Gchvd/R4PAgGgzWtbu/v78f9+/ehUCig1+vx6NEjBIPBmh2vHDweD0KhUNv1inu9XoTD4aLtXkTnyurqKsLhMLa3t3F6etr0kQXCObSVbpRE/dDm5ia4XC4ePXoEtVqNaDRKPsfn8yEajWJsbKyBK60/fr8f8Xg8r3uFKFb8+7//+45AoBAdkVAhtxUJgUAAp6eneW18xeoQ4vE4tFotFhYW6hJ+5XK5WFlZgVQqhUajweHhIUKhUM2Pe51mdVW8K0S4vZz3zWQyMTU1hZWVFYRCIVIsNEsxajapVAparRZzc3Mt+X3TaDSMjY1hY2MDPB4Pjx49wsnJCcLhMDQaTcu+72Kk02loNJqCxYrf//73sby8jNXV1QatrkMhOumGMshON+j1evT391dUXJVKpbC1tYXl5eWcoUTF0gyZTAbvvfcexGJxXS1ps/F6vTAYDOBwOFAoFGW1Xd4VYgrm6OhoUxWvVYPj42MMDg7eKtxOjBQmPBXGxsaa5saj0WjA4XDaJmqUyWRwcXEBtVoNFouF5eXlupxbVIGwI79ejOzxePChD30I//3f/53nutihLhS9YHTmbFYInU6veMd2cnICsVhclkAAHpuqcDichgkEAODz+eDxePB4PDg8PER/f3/NLZGdTie6urraTiC43W4kEolbh9sJTwxCLFgsFshkMoyOjlJaLPj9fgSDwZpNeKQiNBoNHA4HLBYLMpkMh4eH6Ovrg1wub3mxEI1G4XQ68+YtZDIZvPDCC3jmmWc6AoGCdERCGWRfaGk0WkXpBqfTiWQymVOIVsp2ORAIwOl0Ym1t7Y6rvjs0Gg3Dw8MYGhrCxcUFHj16hMHBQchkMrBYrKoeKxKJwGKxUOJ915NEIgGdToeVlZU739AJsRCLxWA2m2E2mykrFogujutdPq0O4Q0wNzeHgYEBjIyMwO124+joCBwOB3K5HBwOp9HLrAkajQZTU1N59QbEEK2XX365QSvrUIpOTUKFVFKTEA6HYTAY8uoKirU7plIpqFQqLCwsUKpqnUajYWRkBBsbG+Byudjf37+1cUwhMpkMjo+PMTs7W/ORwFRDrVZDoVBUVXSxWCzMzMzgwYMH8Pv92N7eppw1t8lkglAobNkbYjEcDgcGBgbILiIajQaBQIC1tTWMjo5CpVLh6OioIfVAtcTtdoNGo2FoaCjn8WQyiWeffRbf+MY3KrrmvfHGG5iZmYFSqcSXv/zlvL9brVb8+q//Oh48eIDl5WX85Cc/ufN7aFc6NQllkE6nSY92m82GTCZzY2teOp3Gzs4Opqen81wVi6UZjo+PweVyKT/MJJ1Ok+1dIyMjkEgkd7JONZvNSCaTBQe8tDLn5+dwuVxYWlqq6XGI2ReXl5eQyWQYGRlp6O796uoKGo0Ga2trbRVFiMVi2N/fx/r6etHq/UwmA6/XC5PJhJ6eHsjlcvT29tZ5pdUllUphZ2cH9+/fz0tX/sM//ANcLlfBG32p15uensbPfvYziEQirK+v44c//CHm5+fJ53zqU5/CgwcP8OlPfxrHx8d48sknYTabq/WWWpFOTUK1oNPpZQ110ev1GB4eLmi7DOSnGc7Pz5FMJpuiT5wwjhkbG8Pp6Sl2d3cxNjYGsVhccSQgEAjA5XK1XZqBGIVcj/fd09OD2dlZRKNRmEwmsmZBIBDU/SadTqfJIWXtJBCAx1EjpVJZsr2P2G3z+Xz4fD6cnJyAxWJBLpfn1DQ1E2azGePj43kCwel04nvf+x7efffdil5ve3sbSqWSNGL66Ec/itdffz1HJNBoNFxdXQF4PDm3Ga6rVKUjEiqknHSDx+PB5eVlzg0g23b5elgtEomQN4xmunAS/vVCoRAOhwM7OzsYHx+HSCQqq8+ZcFUsNdWyFclkMjg5OYFSqazr8Jqenh7Mzc2RYoGoWainWDCbzRgZGWn63XGluFwu0On0souRaTQa+Hw++Hw+vF4vNBoNuru7oVAomkoshEIheDyePDGcyWTw3HPP4fnnn6/4t+BwOHK6YUQiEba2tnKe8/zzz+MDH/gAvvGNbyAUCuHNN9+8/Ztoc9rnylwlbhIJ8XgcarUaS0tLZdsuq1QqzM3NNe20s66uLkgkEmxsbCCTyWB7exs2m+1GMaXX6zE+Pt52Nwyn0wkGg9Ew21lCLCwtLcHtdtdtQmgwGITb7W670dfJZBIGg+HWo875fD5WV1chFouh0Wjw6NEjBAKBKq+y+mQyGWg0GkxPT+dtAt555x0EAgF85CMfudXrXuf6dfWHP/whPv7xj8Nut+MnP/kJPvaxjzW96Vij6EQSyuD67IZiF9NMJoOjoyNMTU3lhNaKjX8GHhdw8fn8lmj96erqgkwmg0gkgtVqxdbWVlH7YI/Hg3A43Fbtb8Dj+gCqdHGw2WzMz8+TkSyz2Qy5XI6hoaGqRxbS6TSOj48xNzfXVlEj4LEYlkgkd55syePxsLq6Cr/fD51OBzqdDoVCQRkr9eucn5+jp6cn79oWi8Xw3HPP4Z//+Z9v9TsTiUSw2Wzkf9vt9rx0wiuvvII33ngDAPC+970P0WgUbrc7z+Wxw82019laBUq1QFqtVrDZ7JwfYqk6BJ/PB5/P13Iz5LNHHkciEWxvb+Ps7IwUV4SbZLu5KhJphqmpKUp1cbDZbCwsLGBhYQHn5+fY3d2F2+2uamTBarViaGgob+Jfq3N5eYlQKFTVnPjg4CBWVlYgk8lgMBiwv79P5t+pQjKZhMlkKliM/M1vfhMf+chHbj3ddX19HTqdDiaTCfF4HK+99hqeeuqpnOdIJBK89dZbAB771ESj0c7AqFtCnStVk1As3XB1dYXT01Nsbm7mPF7MdjmRSECtVuPBgwcte6MkZg1IJJIckx+n04nJycmqey1QHYfDATabndcGRhU4HA4WFhYQDodhNBphMpmgUCjA5/Pv9BsNhUI4Pz/PM9FpddLpNNRqdc2KNAcHB/HgwQNcXl7CYDAAABQKBbhcbtWPVSkGg6Fg9MRqteLHP/4xfvGLX9z6tRkMBr75zW/igx/8IFKpFD7xiU9gYWEBX/ziF7G2toannnoKL730Ej75yU/ia1/7Gmg0Gl599dWWvc7Wmk4LZBlkMhnSE8Dv98PhcGBhYYH8ezKZxPb2dkW2ywcHBxgbG2srd8FYLIajoyMEAgEsLCxgeHi4bU7cSCSCR48elWx/oxqhUAgmkwnRaBRyufxWYiGTyeDhw4eYmpqixM2rnphMpv/P3r3HN1Xf/wN/pfcbvdErTdtc2qYXeqFNC8o2iyB8nYi6IQOdzAtuU7wxAUHaikMEhqIydTqmU6fi3eGm4g8FFLT0Tum9za1N0qa3NL2kzfWc3x880rWkKb2kuTSf538kpzmfNCXnfT6f9+f9Bk3TE7ZDngsDAwMQiUSgKAocDsduS5iDg4NoampCTk6O2ffepk2b8NBDD2H16tV2GRthEekCaS0TzSQ0NDQgLi7OLEAwGo0T5iHI5XJ4enq6VIAA/K/eBJ/PR3d3N8rLy9Hb2+tQRX7mwthiUc4SIACAv78/Fi9ejJSUFLS3t6OiogJKpXJaryGVShEUFORyAcLw8DC6urrmrMX7RAIDA5GVlYXExES0traisrISKpXKZucH/ldRcqIGTidPnoSvry9uuOEGm46JmB0ykzAFY2cShoaGIBQKkZmZCQDo6OhAV1fXuPKypkRFiqLMkrSGhoZQV1cHPp/vVBeM2TLdUSYkJIze4ZimtTUaDbhc7riaEvNJW1sbNBqN0ydpqtVqiEQi6HQ6cDicq35ezjh7Yg00TaOyshJcLteuCcmDg4MQi8XQ6/VT+rysQSaTTZiQPDw8jFWrVuHLL790+GJxLorMJMzGlbsbTDMJpovclQl4k5Vdrq+vR2pqqkt9aQKX98eHhISM+9L08/PD4sWLkZycDKlUisrKSvT399txlNanVqvR0dEx4yQtR+Lv74/09HTweDxIpVJUVFSgr69vwmOddfbEGjo6OuDv72/3HUsLFixARkbGuM9LqVTO2cydTqeDVCqdcHnlueeew+bNm0mA4IRI4uI0mbZAUhSFmpoapKWljatvMNl2x5aWFkRFRblchvfAwAB6enos9okPCAhARkYGBgcHIRQKQdM0uFyuw27tmirThTIlJWVeXShNn5dpVs2U4Dj2oiiXyxEQEGD3C6Wt6XQ6tLa2OlSS5tjPSywWQyQSzTjHZDItLS3gcDhmO3eam5tx5swZnD9/3mrnImyHLDdMkVarBXD5S+DSpUsIDAwc3epnYspDmKiqYnd3N+RyOTIzM10mWQ+4PHtSXl6OxYsXT7lokilb293dHVwu16kqzI0lFotBUdS8mEWYzODgIEQiEYxGIzgcDnx8fHDx4kWXW2YAgNraWkRERDj0fnxTQurIyIhVdq8Al7dzSyQSZGVlmc2q3nrrrdi7dy9+9rOfzXboxNwhvRtmi8FgjG5l1Gq10yq7rNVqIRAIzLJ9XUFLSwtiYmKmVVUxKCgI2dnZ6OvrQ1NTE7y8vMDhcJyqMuPQ0BC6u7sdomjSXFuwYAEyMzNHZ4JUKhW4XK7LBQi9vb0wGo0OHSAA/0tIHR4eHjezMNMiWhRFobm52azKLAB89tlniIuLw/Lly601fMLGyEzCFOl0OtA0jZGREZw7dw6/+MUvxlVVNBqNEy4z0DSNqqoqxMfHO+z++LnS09MDmUw2q9kTU1c8kUgEPz8/cDgc+Pr6Wnmk1kVRFMrLy5GSkuJyS0vt7e3o6uoCgNHtf66ws2GyToeOzhQsqNVqsNnsaW9Nlkgko9suxxoYGMDq1avx3XffkUJGjo/MJFiDaY3Z29t7ymWXJRIJFixY4HIBgk6nQ0tLy6xnT8Z2xevp6UFNTQ0WLFgANpvtsF/GYrEY4eHhLhcgaLXa0fV4Dw8P9Pf3QyQSgcFgOHT5YGsQCoWIiYlx2L/JyZiKaI2MjEAsFkMsFk+58ZdGo4FCoUBeXp7Zc/v378fWrVtJgODkSJAwDa2trfD39x/NTwAmL7vc398/acLefDW2y+Fs69WbMBgMhIeHIywsDN3d3aiurkZwcDDYbLbVzmENAwMDUCqVLvmZNzY2jis5HRQUNK4iIIPBAJfLnXfB08DAAPr7+5GYmGjvoczK2F4eEokEEokE8fHxiIiIsBgsNDU1ITEx0WyJtaamBlVVVXjxxRdtMXRiDpEtkFPU398PhUJhtv/XUtllg8GAhoYGpKWluVxDm/b2dnh6es7JHQSDwUBERATy8vIQGBiIyspKtLS0QK/XW/1c02U0GtHQ0IDU1FSX+8y7urrg7u4+YStkU7DAYrHQ0tLiNF0Mp8IUHKWkpMybfCNfX1+kpKQgIyMDfX19KC0tRWdnp9nWyZ6entGZvrGMRiO2b9+Oo0ePulxeynxEZhKmwLTMkJ6ePu7Lf7JlhsbGRsTHx8PPz8/Ww7Wr4eFhSKXSOd8CxmAwEB0djcjISCgUCpSXlyMiIgJxcXF2a7ktEokQHR3tVAmW1qDT6SASia6apGlqTGTqYujsu1eAy4WyQkNDnfo9WOLj44Pk5GRoNJpxMwuRkZGgKAoCgQBZWVlmP/fee+8hKysL2dnZdhg1YW0kcXGKhoeHR6Pin376Cddcc43FZYaOjg709vZi8eLFNh+nPVEUhYqKCiQlJdk8WY2iKMjlcshkMkRFRSEuLs6mdzEqlQpCoRDZ2dnz5o5yqmpqahAZGTntrP6+vj6IRCJ4enqCw+E43YXW1SpKarVaSCQS9PX1wdfXF8HBwYiPjx93TG9vL2666Sb88MMPLlcjw8mRiouzdeXdqaVlhuHhYbS2tiI5OdmWw3MIEokECxcutEs2u5ubG2JjY5GXlwd3d3eUlpaitbV1NJCbS0ajEY2NjS7X+hq4vMxA0/SMtv2FhIQgJycHsbGxaGpqwqVLlzA0NDQHo7Q+0zJDUlKSSwQIAODt7Q0ejwcejweVSoWOjg60t7ePVqClaRp79+7FE088QQKEeYQsN8zA2GWGsSiKQl1dHVJSUsyqjs13/f396O3ttXvCnru7O+Li4hATEwOpVIrS0lIwmUzExMTMWZ5AS0sLmEymw2/NtDa9Xg+hUDjrz9wULCiVSjQ2NsLb29vh62J0dnbC29sboaGh9h6KTdE0DbFYjMzMTPj5+aG1tRXr16/HihUrkJ2djdbWVmzatMnewySsiMwkTBNN0/D390ddXR1GRkbGPScUChEeHu4S+8LHMiXsOVKSpru7O1gsFnJzc6HT6VBSUgK5XG7WwXO2lEolRkZGXLImfXNzs1V3l4SGhiInJwcxMTFoaGhAbW0t1Gq1VV7bmvR6PcRisdPvZpiJzs5O+Pj4IDg4GF5eXkhMTMQrr7yCpqYm/Pa3v0V+fr5NZu8I23GMb3QnYdrumJqaikWLFqG2thb19fXQaDTo7e3F4OCg2RqdK2hubkZsbKxDJml6eHiAy+WCz+djZGQEpaWl6OjosEqTG4PBgObm5nmV2T5Vvb290Ov1Vm93zmAwRoOF6Oho1NfXo7a2FsPDw1Y9z2yYgiN7Jcjai8FggFgsRkJCwrjHo6OjkZaWho0bN0Kr1SI3NxfHjh0b7ZxLODeSuDhFBoMBOp1uXPtnmqbR3d0NoVAIrVYLPp/vdMlXs9Xd3Y329vZxrbIdmU6ng1gshkqlAovFmnQP+NXU1dUhNDQU0dHRVh6lYzMYDCgrK8OSJUvmvHjQlRU32Wy2XYNRpVKJ1tZWsx4FrqCpqQkBAQFms2YKhQK33XYbfvrpJ/j7+6Ovrw8vvfQSvvzyS5w/fx7e3t52GjExDRb/mEmQMEVarRZ6vd5i2WV/f38olUpEREQgPj7eJXISdDodKioqkJOT41AFjabCtK1rYGBgRqVonS04sqaGhgYEBQVh0aJFNjsnTdPo7e2FWCy2W3luU+nlzMxMl8s/GRwcRFNTk1kFVZqmcd9992Hjxo249dZbx/2MVqslAYLzILsbZsNoNGL9+vX49ttvzaapBQIB/Pz8wOPxsHTpUnh5eaGsrMxmmfX2YqodkZiY6HQBAvC/PeDp6eno7u5GeXk5ent7p7QModfrIRAIXHKZwZSDYevZEwaDgbCwMPD5fERERKCmpgb19fVmeUFzSSwWIzo62uUCBNNODh6PZ/b3/sMPP0CtVuOWW24x+zkSIMwPZCZhilpaWrB3717I5XIUFhZi2bJlKC0txa5du/Dtt9+O2wZlNBrR1tYGhUKB2NhYLFq0yGES+qxFJpNhaGho3mz1HB4ehkgkgkajAZfLRUhIiMVja2pqEBERYfX1eEfnSHfSNE2jp6cHYrEYAQEBYLPZczqmoaEh1NfXIzc31+UCQ5lMhuHhYbNqs1qtFqtWrcLHH39s1tyJcDpkucEaaJpGTU0NCgoKYDAYIBAI8Oabb1qsLKbX69Ha2oqenh6wWCxERkbOiy8YtVqNmpqaeVlEZmhoCCKRCAaDAVwu12ynSmdnJ7q6upCenm6nEdpPU1MT/Pz8EBsba++hjDLlBZkaqc1F4y+aplFeXo7k5OR513fiakxLiqamXWM999xzcHNzQ0FBgZ1GR1gRCRKsiaZp3HrrrWhra0NiYiIKCgrMMn7HMlUqU6lU4HA4017/diSmqoo8Hm9ed/UbHByEUCgEgNGmRKYvTD6f73KZ7Y5eUdIULIjFYgQFBYHFYlktWJBKpdBoNC655bGurg5hYWFms2atra248847UVxcTJYV5gfSKtqaPvvsM3h7e6OiogKnTp3CH//4R6SmpmLXrl0TJnOZKpWNjIxAJBJBIpEgISFh0iltRyUWixEWFjavAwQAWLBgAbKystDf3z/aZ8BgMCAhIcHlAgRTRUlHTtI0Nf4KDw9HV1cXqqurERQUBDabPauLmEajgVwun/NeJI6or68POp3OrJomTdN44okncPDgQRIguAAykzBNbW1tWLduHc6cOTN6kacoCp9++ikOHjyIn//85/jTn/40YTc8E7VaDaFQOHrRcZYLrkqlgkAgMMtwdgUCgQByuRwLFy4Eh8NxyJoQc0UgEMDT09OpaoDQNI2uri5IJBIEBweDxWLN6IJWXV0NJpNp1ulwvqMoCmVlZUhPTzf7W//qq6/wySef4Pjx4y73PTCPkeUGa9m8eTN+//vf42c/+5nZcwaDAe+88w5efPFFrFu3Dg8//PCka5gDAwMQCARO0Q3PYDCgvLzcIZLWbE2j0eDixYvIycnBwMAARCIR/P395zxZzhEMDAygqakJfD7fKS8INE2js7MTEokEISEh0woWurq60NXV5XKN2oDLfVgoijJLSBweHsbKlSvx1VdfuWSV0XmMBAnWotfrrzrdrNVq8dprr+Ef//gH7rrrLtx3332TXkz6+vogFArh6+trl/3fU1FfX4/g4GCb7o13BKY6GCwWa7RO/9jM+sDAQKuufzsS093k4sWLHbqPwlTQNA2FQoHW1laEhoaCxWJNunXXVDDKGWuAzJYpKM7LyzPblfX0008jKioK27Zts9PoiDlCggR7GBoawgsvvICPP/4Yf/zjH3HnnXdaDDCuvPDMdi3Vmrq6utDR0eHQa9JzZbKtnqYpbbFYjJCQEKv2MXAEIpEIDAYDbDbb3kOxmrHBwsKFCxEfHz/hZ9bY2IjAwECXC4oBy0ssTU1N+OMf/4jz58+7XF6OCyDFlOwhICAAhYWFOHPmDCQSCVasWIFPP/10wiJLDAYD4eHhyM3NRXBwMKqqqiAQCKDX6+0w8v/RarUQCoUuWThoZGQEMpnMYlY7g8FAZGQkli5disDAQFRWVjrEZ2YNQ0ND6Onpcao8hKlgMBiIjo5GXl4e/P39UVlZiZaWlnF9BlQqFdRqtcuV2waAnp4eMBgMswCBoijs2LEDR44cIQGCiyEzCTbU3t6Offv2obKyErt378aqVassFlmiKArt7e2QSqWIiopCXFyczWsS0DSNixcvIi4uzuUSt2iaRmVlJbhcLoKDg6f0MxRFoaOjA21tbU5dnpuiKJSXlyMlJWXe1wWgKAoKhQJtbW0ICwtDbGwsLl68OGHC3nxnKpaVlZVltnz28ccf4/vvv8cbb7zhcjcLLoIsNzgSgUCAvXv3QiqVorCwENdcc43F/3hGoxEymQzt7e1gMpmIiYmxWfVGqVQKtVo9b6oqTkdbWxu0Wu2M9sZTFAW5XA6ZTGa3AG82JBIJjEYjuFyuvYdiM6YATyAQwN/fH5mZmS53xywQCODl5YW4uLhxj/f392P16tU4ffo0wsPD7TQ6Yo6RIMERXbp0CYWFhdDr9SgqKkJ6errFYMFgMKCtrQ2dnZ2Ij49HdHT0nEb0arUatbW14PP5TnWBswbTe8/NzZ1VQDY2wIuJiUFMTIzD/y6t9d6dkamSaExMDGQyGSIiIhAXF+cSwYJarUZdXR34fL7Z575z505kZGTg97//vZ1GR9gACRIcFU3TuHDhAgoLCxESEoKCgoJJ7151Oh0kEgmUSiXYbPasWh1b4krTzVeai4qSBoMBUqkUCoXC5rNB00HTNCoqKpCYmGhWjnq+My0vJSQkICgoaNxyX2RkJOLi4pxy6WgqTDt4OByO2dLapUuXsGPHDpw9e9bhA1xiVkjioqNiMBi45pprcOrUKdx///144IEH8NBDD0Eul094vJeXF5KSkpCVlQWlUomysrIpdy+cKpFIhIiICJcLEACMbpGzZoErDw8PsNls8Pl86HQ6lJSUQC6Xg6Ioq53DGqRSKYKCHWRY5wAAIABJREFUglwuQAAu5wv5+/uPvnc3NzcwmUwsXboUnp6eKCsrG+3pMd90dnbCx8fHLEAwGo3YsWMHjh49Oq0A4eTJk+DxeEhISMDBgwcnPOajjz5Camoq0tLScMcdd8xq/MTcIjMJDoaiKHz++ec4cOAAli9fjscff3zS6o2m7oVarXZaSXaWOHqN/rk0ODiIhoaGCadcrUmv10MikaC3txfx8fGIioqy++96ZGQE1dXV87Jp19VotVpUVlZO2MTI5Mo8k9jY2Hkxs2CqBzFRP5K3334bDQ0NOHr06JRfz2g0IikpCadOnQKTyURubi6OHz+O1NTU0WNaWlqwYcMGnD59GiEhIejq6jIr/UzYHFlucDYGgwHvvvsuXnjhBaxduxYPP/zwpHe3poZENE0jISFhRrMArlxV0bTEkpqaarPKlzqdDmKxGCqVCiwWa06WjqZiJjs55pOamhpERUVNKSnPaDRCLpdDLpfPi2ChqakJCxYsMKsH0dPTg7Vr1+KHH36Y1t9EcXEx9u7di2+++QYAcODAAQDA7t27R4/ZuXMnkpKSsGXLFiu8A8JKyHKDs/Hw8MDdd9+N0tJSREZG4oYbbsDRo0cxMjIy4fGmhkRsNhvNzc2oqanB8PDwtM7Z1NSE+Ph4lwsQgP8tsdiyNLaXlxd4PB4yMzNHl466u7utunQ0FXK5HAEBAS4ZIPT09ICm6Sln7bu7uyMuLg55eXlwd3dHWVnZ6G4QZzMwMIDBwUGzehA0TWPv3r144oknpv03IZfLx7USZzKZZkunzc3NaG5uxvLly7Fs2TKcPHly5m+CmHMkSHBw3t7eeOSRR1BcXAyj0YgVK1bgn//8p8WCPcHBwcjJycGiRYtQV1eH+vp6aDSaq56ns7MTRqMRUVFR1n4LDq+/vx99fX12Kxzk4+ODlJQUpKeno6urC+Xl5VbPM7FEo9FAJpNN2up8vjIYDGhpaQGPx5v2z44NFhgMBkpLS9Ha2uo0wQJN02hqakJycrLZ7FVJSQna2tqwadOmGb3ula58fdPv/ezZszh+/Di2bNkClUo17XMRtkGCBCcREBCAPXv24OzZs2hra0N+fj4+/vhji19KCxcuBJ/PR1hYGC5evIjm5uZxVeXG0mg0EIvFLllV0dQGOTU11e7v3dfXF2lpaUhNTUV7ezsqKyvR19c3Z+ejaRoNDQ1ISkpyuTwEABAKhYiNjZ1V+XN3d3fEx8cjLy8PNE07TbAgl8sRFBRkNnNmMBiwa9cu/PWvf51RXg6TyYRUKh39t0wmM1vKYDKZuOWWW+Dp6Qk2mw0ej4eWlpaZvRFizpEgwcmEhobi0KFD+Oqrr1BSUoKVK1fi5MmTE2bKMxgMREREYOnSpQgICEBFRcVoi2oTmqZRX1+PxMREl9gPfiWhUIjo6GiHamDk7++P9PR08Hg8tLW1obKyEv39/VY/T0dHB7y9vUcbV7kS01S7tToZuru7g8VijQsW2traHDJY0Ol0kEqlZh0eAeDYsWNYuXIlUlJSZvTaubm5aGlpgVgshk6nwwcffIB169aNO+bWW2/FmTNnAFxe7mlubp5wLIRjIImLTk4oFGLv3r1oa2tDQUEBrr32Wot3xGMztBctWjS6XjgyMjKjKVdn19fXB5FI5PA7OQYGBiAUCsFgMMDlcq2yNXUqGf3zlS2SVMfWxnC0Qlp1dXUICwtDZGTkuMcVCgVuu+02FBcXz6ok9VdffYXHHnsMRqMR9957L/bs2YOioiLw+XysW7cONE3j8ccfx8mTJ+Hu7o49e/Zg48aNs31bxOyQ3Q3zXU1NDQoLC6HRaFBUVITMzMxJSz1LpdLRvfrLli1zuVkEU516Z9rJ0d/fD6FQCA8PD3A4nBlf4GiaxqVLlxATEzPp9tr5ypZlpx2tkFZfXx8kEgmysrLGfT/QNI17770XmzZtwq233mq38RF2Q4IEV0DTNEpKSlBYWIigoCAUFBQgKSlpwmMpikJZWRkWLFiAgYEBh9mvbyuNjY1YsGCB1aabbUmpVEIkEsHHxwccDmfad32dnZ3o7u7G4sWL52iEjstUDyIvL8+mF+uxZdXtFSyY/s9P1Lzq7NmzeO2113DixAmX+Q4gxiFBwlSdPHkSjz76KIxGI7Zs2YJdu3aNe16r1WLz5s2oqKjAwoUL8eGHH4LFYtlnsBbQNI3vvvsOTz31FJKSkrB7924wmcxxxzQ1NcHb2xssFgtarRYSiQQqlQocDgdhYWHz+ouit7cXbW1tZndTzoSm6dFgwd/fH2w2e0ozIjqdDhUVFRMWz5nvTOWH2Ww2QkJC7DIGvV6PtrY2dHV1ITY2FosWLbJZsCCRSEBRlNn6v1arxcqVK/Hpp5+CzWbbZCyEwyF1EqbCaDRi69at+Prrr1FfX4/jx4+jvr5+3DFvvPEGQkJCIBAIsG3bNjzxxBN2Gq1lDAYDq1atwrlz53DzzTfjjjvuwBNPPIHu7m4AlwOhffv2jW758/b2Bo/HQ0ZGxugWPKVSac+3MGf0ej2am5udficHg8EY3cESHh6OmpoaNDY2QqvVTvpzTU1N4HK5LhcgAJfX3H18fOwWIACAp6cnuFwu+Hw+tFqtzUp0azQaKBSKCW9ojh49il/96lckQCAmRGYSxphKtbA1a9Zg7969uOaaa2AwGBAVFYXu7m6HvuAYDAa89957OHLkCFavXo3PP/8cn3/+ucU1WbVaPboLIiEhwap9DOytrq4OoaGhZgVknB1N0+jq6oJYLEZoaChYLBa8vLzGHdPV1QWFQoGMjAw7jdJ+HHUGRa/Xo7W1FT09PYiNjUV0dPSczCxUV1eDyWRi4cKF4x5vbW3FnXfeieLi4lltBSWcHplJmIqpVAsbe4yHhweCgoLQ29tr03FOl4eHB373u9+htLQUP/zwA/z8/PDf//7XYvVGf39/ZGRkICEhAUKhENXV1RgaGrLxqK2vu7t7NLCbbxgMBiIjI7F06VIsWLAAlZWVEAgEo0W39Ho9hEIhkpOT7TxS+2hpaQGHw3GoAAG4PLOQkJCA7OxsjIyMoLS0FO3t7VadWTDdxFwZINA0jZ07d+LQoUMkQCAsIkHCGFOpFjaVYxzViRMnkJCQgOLiYtA0jfz8fLz55psWqzcGBgZiyZIliIuLQ2NjI+rq6iwGFo5Op9NBIBA4/TLD1TAYDERHRyMvLw++vr4oLy+HSCRCY2Mj2Gy22eyCK1AqldDr9Q7dRMjLy2s0WFCr1aPBwmyrbhqNRgiFwgkTmL/66isEBARg1apVszoHMb+RIGGMqVYLMx1jMBjQ39/vFMVoZDIZnn32Wbzyyivw9/fHk08+ie+//x5yuRz5+fn46KOPLBZ+CQkJQU5ODiIjI6e89u1oGhsbweVyXeYi6ebmhpiYGCxduhQ6nQ7d3d0YGRlxyOI+c8loNKK5uXnC8sOOyMvLC4mJicjOzsbQ0BBKSkrQ0dEx42BBLBZj0aJF8PHxGfe4Wq3GM888g+eff94pfi+E/ZAgYYypVAtbt24d3n77bQDAJ598guuvv94p/pP94Q9/wAsvvDCuYUtoaCgOHDiAr776CuXl5bj++uvx9ddfW6zeGBYWhtzcXAQHB6OqqmrcdLYj6+zshJubm0PfSc4ViqLQ19eHpUuXws3NzaErAc4FSxdJR+fl5YWkpCRkZ2djcHAQJSUlUCgU0woW1Go1lEql2c4mADh8+DDuueces5sggrgSSVy8wtWqhWk0Gtx1112oqqpCaGgoPvjgA6coKSqTySb8shhLJBJh7969kEgkKCgowPLlyyet3tjR0YG2tjZERUUhLi7OYSrKjWWqLOhoCWu20tDQgKCgoNGLwdjiPrbegmdrg4ODaGxsBJ/Pd4pAfjJjtynHx8cjMjJy0vdk2u7J5XIRFBQ07rnGxkY88MAD+PHHH12u2iZhEamTQExdbW0tioqKoFarUVRUNGk9AaPRCJlMhvb2dsTExIDJZDrMRYem6dGsblesLKhUKiGRSLBkyRKzz2/sfn1TIS1H+dysgaZplJeXIzk52SplrB3F2GCBxWIhIiJiwv+bCoUCSqUSqamp4x6nKAq33HIL/vznP2P58uW2Gjbh+EiQQEwPTdMoKytDQUEBFixYgIKCgkn7O4ytKBcfH4/o6Gi73721t7dDpVKZfVG6gqmWndbpdGhtbUVvby9YLNZV71CdRVtbG7RaLRITE+09lDmh0WggkUjQ399vFizo9XqUl5dPOHv20Ucf4dy5c/jHP/4xLz5nwmpIkEDMDE3TOHPmDAoLC5GYmIjdu3eP2yZ6pbEXHTabbfFOZ65pNBpcvHgRfD7fJadUm5qa4OfnN+lnNdbYO1Q2m43w8HCnvYiYPvvc3FyHXAKzJlOb98HBQbBYLISHh6OpqQmBgYFm+Qb9/f1YvXo1Tp8+jfDwcDuNmHBQJEggZoeiKJw4cQL79+/HsmXLsH379kkTAcd+eXG5XISGhtrsomNaj2WxWE6x88TaVCoVhELhjLpbjv3c2Gy205XoNi0xxcbGmtUFmM9Mn5tKpQJN01i2bJnZ8tHOnTuRmZmJ+++/306jJBwYCRII6zAajXjvvffw/PPP48Ybb8Sjjz5qlhg11vDwMEQiEbRaLbhc7rjdFXNFJpNBrVa7ZPtr0zJDRkbGrNr9joyMQCQSYXh4eDTIcwau3LyKpmmUlpbCx8cHWq0WcXFxiIiIgJubG6qrq/HEE0/gzJkz8352hZgRUnGRsA53d3ds3rwZZWVliI2NxerVq/Hiiy9ieHh4wuP9/PywePFi8Hg8SCQSVFVVYXBwcM7GNzw8DJlMhoSEhDk7hyMTi8WIjo6eVYAAAL6+vkhLS0NqairkcjkqKiqgUqmsNMq5odfrIRKJLHY+ne/kcjlCQkKQmZmJ9PR0nDp1Ctdccw0++ugjbN++HS+99BIJEIhpI0ECMSNeXl7YunUrSkpK4ObmhhUrVuAf//gHdDrdhMcHBAQgKysLHA4Hzc3NqKmpsRhYzBRN06ivr0dycrJLfhkODAygr68PcXFxVntNf39/pKeng8fjobW1FZWVlejv77fa61uTQCCYsGeFK9DpdJBKpaPbsX19fXHXXXfhn//8J9566y20traiq6tr1hUcCddDggRiVvz8/LBr1y788MMPUCgUyM/Px4cffmixWE9QUBBycnKwaNEi1NXVob6+HhqNxipjaWtrQ1BQkE2WNBwNRVFoaGhAamrqnOQQBAQEIDMzEwkJCRCJRLh48eKczghNV19fH0ZGRuZlX46pMPWmuDJJNyIiAr29vfjiiy9w/PhxXHfddTh16hQJFogpIzkJhFUpFArs378fFy5cwBNPPIH/+7//s7j/nqZpdHd3QywWIyQkZFZ3gWq1GrW1tcjNzZ1X+/2nSiQSgcFg2Kzdryk50tT62N/f3ybnnQhFUSgrK0N6evqsl1mcUV9fHyQSiVk9E5qm8dBDD+GGG27AHXfcAeByMLFv3z4sXrwYO3futNeQCcdDEhcJ25JIJNi7dy+EQiH27NmDn//85xbvcGmahkKhQGtrK8LDwxEfHz+tbYsURaGiogI8Hm9etbWeqqGhIdTX14PP59s8QFIqlRCJRPDx8QGHw7HLRVooFMLd3R0sFsvm57a3yQKkCxcu4MCBA/jmm2/M/i5omnaqXSvEnCNBAmEf9fX1KCwsxNDQ0FWrN1IUBblcPtpYi8lkTim3QCwWg6ZppyiPbW0URaG8vBwpKSl2qyxI0zSUSiWEQiECAgLAZrMnLeBkTWq1GnV1dXYJkByBRCIBRVFmf/t6vR433HAD3n77baSkpNhpdIQTIUECYT+m6o2FhYXw9/dHQUEBkpOTLR5vNBohlUrR0dFx1f4Cg4ODaGhocOmLhNFoBJfLtfdQxi0fBQUFgc1mw9vbe07PV1FRgcTExEm34c5XpqJReXl5Zn/7r776KpRKJZ599lk7jY5wMiRIIOyPpmmcPXsWRUVF4HA42L1796SZ+Hq9Hq2trejp6RntLzB2FsJ0F52amoqAgABbvAWH4qh5GDRNo6urC2KxGKGhoXO248CV62EAGO1LcmXRqI6ODvzqV79CcXGxS+ZoEDNCggTCcVAUhf/85z945plnkJeXhx07dkxavVGn041Wk+NwOKNVAAUCATw8PFxyLdoZ7qLH5pqEhYUhPj7eap04Td09c3NzXbLsdnd3Nzo6OpCRkTHucZqmcc899+DOO+/ELbfcYqfREU6IBAmE4zEajXj//ffx/PPPY82aNXj00Ucn3b44tgpgVFQUOjs7kZOT45IJWM7UwIiiKLS3t0MqlSIyMhJxcXGzvrBfunQJ0dHRLtmDwFRVc8mSJWbLOWfOnMHrr7+OEydOuOT/C2LGSMVFwvG4u7vjrrvuQmlpKeLj47FmzRq88MILFossmaoA8ng8CAQC0DSNgYEBG4/a/kZGRtDe3u40iZpubm5gMplYunQpPD09UVZWNppLMRPd3d0A4JIBAnA5UXfRokVmAYJWq0VhYSFeeuklEiAQVkOChHni5MmT4PF4SEhIwMGDB82eP3LkCFJTU5GRkYGVK1eitbXVDqOcmJeXFx588EGUlJTAw8MDK1aswLFjxyxWb1QoFEhISACPx4NIJEJ1dTWGhoZsPGr7cOaqkm5uboiNjUVeXh4YDAZKS0vR1tYGiqKm/BoGgwECgcBl8xDUajWUSiWYTKbZcy+99BJ+/etf26xWBuEayHLDPGA0GpGUlIRTp06ByWQiNzcXx48fR2pq6ugxZ86cwdKlS+Hn54e//e1vOHv2LD788EM7jtoylUqFw4cP48svv8TDDz+MDRs2jF4Qv//+ewwODuKmm24avVvq6+uDUCiEj48PuFyuzbbf2cN8StYzGAyQSqVQKBRX3cVi0tTUhICAAMTExNholI6DpmlUVlYiISHBLA9FIpHgt7/9LYqLi+d0Rwkxb5HlhvmstLQUCQkJ4HA48PLywsaNG3HixIlxx6xYsWI003nZsmWQyWT2GOqUBAcHY//+/fjmm29QXV2NFStW4Msvv4RSqcQjjzwCHo83bjo1JCQEOTk5iIqKQk1NDRobG6HVau34DuaGRqOZV82rPDw8wGazwefzodVqUVpaivb2doszC/39/RgaGsKiRYtsPFLH0NnZCV9fX7MAgaZp7Ny5E3/5y19IgEBYHQkS5gG5XI7Y2NjRfzOZTMjlcovHv/HGG7jxxhttMbRZiYyMxNGjR/Hpp5/iq6++wpo1a/DLX/5ywoskg8FAWFgYcnNzERISgqqqKrS0tECv19th5NZH0zQaGhqQlJTkdMsMV2Mq7ZydnQ21Wo3S0lIoFIpx/QUoikJTUxOSk5Ndcr1dr9dDLBZPmKj65ZdfIjAwECtXrrTDyIj5jgQJ88BES0aWvkjfffddlJeXY8eOHXM9LKuJj4/Hpk2bEB4eDplMhttuuw0VFRUW33dkZCTy8vLg5+eH8vJyiMXiGSfJOYqOjg54e3sjNDTU3kOZM15eXkhMTMSSJUvQ39+P0tLS0c6FbW1tCAsLs2uPCHsSCoUTbiFVq9XYv38/nnvuOZcMnoi553objOchJpMJqVQ6+m9TWeMrffvtt9i/fz++//57p5qWVKlU2LlzJ77++mtERUWhoqICBQUF8PX1RUFBwYRlZ93c3BATE4OoqCjI5XKUlpYiJiYGTCbToQoPTYVWq0Vraytyc3PtPRSb8Pb2Bo/Hg0ajgVgshkgkgsFgwDXXXGPvodnFwMAAhoaGJsxD+ctf/oJ77rnHZZdgiLlHEhfnAYPBgKSkJHz33XeIiYlBbm4u3n//faSlpY0eU1VVhfXr1+PkyZNOsbd+rLvvvhtr1qzBpk2bRh+jaRrff/89ioqKwGKx8OSTT05avdFgMKCtrQ2dnZ2Ij49HdHS0U9x50TSNS5cuISYmBmFhYfYejs3RNI3y8nJ4eHjAYDCAy+XO69mUK5nef0pKillV0cbGRjzwwAP48ccfXbKgFGFVJHFxPvPw8MDLL7+MNWvWICUlBRs2bEBaWhqKiorwxRdfAAB27NiBoaEh3H777cjKysK6devsPOqp6erqgq+vLzZu3DjucQaDgfz8fJw9exbr16/H5s2bsX37dnR2dk74Oh4eHuBwOODz+VCr1SgpKUFnZ+eESxaOpKurC+7u7i4ZIACXl1kCAgKwZMkSpKamQi6Xo6KiAiqVyt5Dswm5XI6goCCzAIGiKGzfvh1HjhwhAQIxp8hMAjEvGI1GfPDBBzh8+DBWr16Nxx57bNLqjaap7MHBwdG7U0ebWdDpdKioqACfz7daOWNnYun9Dw0NQSgUgqIocLncedse3PT+Jyo9/eGHH+LHH3/EsWPHpvV3e/LkSTz66KMwGo3YsmULdu3aNeFxn3zyCW6//XaUlZWBz+fP6n0QToGUZSZcg06nwxtvvIFXX30Vv/nNb/CHP/xh0mS34eFhiEQiaLVacLncSQMLW6upqUFkZOSkfS3ms9raWkRERFh8/wMDAxAKhWAwGOByuXZrlT1X6urqEB4ebvb++/v7sWbNGpw+fXpaM0xTqacCYLQOiU6nw8svv0yCBNdAlhsI1+Dl5YUHHngApaWl8PLywvXXX4+///3vFqs3+vn5YfHixeDxeJBIJKiqqsLg4KCNR23OlNXvqgFCb28vjEbjpO8/MDAQS5YsAYvFQnNzMy5dugS1Wm3DUc6dvr4+6HS6CUtPP/PMM3jkkUemvQQ1lXoqAFBYWIidO3fCx8dnxuMn5g8SJBDzkq+vL3bu3Ilz586ht7cX1113Hd5//32LWyEDAgKQlZUFDoeD5uZm1NTU2O2Co9frIRQKkZycbJfz25vRaERLS8uUq0oGBwcjJycHTCYT9fX1qK2ttdj/wxlQFIXm5mazomEAcPHiRdTU1OCee+6Z9utOpZ5KVVUVpFIp1q5dO7PBE/MOCRKIeS04OBj79u3DqVOnUFNTgxUrVuA///mPxap+QUFByMnJQUxMDOrr61FfXw+NRmPTMTc3N4PNZsPLy8um53UUIpEIMTEx076TDQ0NBZ/PR1RUFGpra+3y2VlDW1sbwsPDRyukmhiNRuzYsQMvvfTSjApqXa2eCkVR2LZtG55//vnpD5qYt0iQQLiEiIgIvPTSS/jss8/wzTffYM2aNfj+++8t7m4wXXDCwsJQXV2NpqYmi0sW1tTb2wu9Xo/IyMg5P5cjGhwchEqlmrCB0VSMrbxp+uycqUy3RqOBQqEAi8Uye+6dd94Bn8/HkiVLZvTaV6unMjg4iNraWuTn54PFYuHChQtYt24dysvLZ3Q+Yn4giYuES2poaMBTTz2Fvr4+FBYWIicnx2KWOE3TUCgUaG1tRXh4OOLj4+dk25nBYEBZWRmWLFnikuvBk9UEmM1rdnZ2QiKRIDQ0FCwWy6FnaKqrq8FkMrFw4cJxj3d3d2Pt2rU4f/68We+GqZpKPZWx8vPz8dxzz5HERddAEhcJYqyUlBR8+OGHOHjwIA4cOIA777wT9fX1Ex7LYDAQHR2NvLw8eHl5oaysDBKJxOqlnltaWhAfH++SAQIASKVShISEWC1AAC5/dlFRUVi6dCkCAgJQWVkJgUDgkD09uru7wWAwzAIEmqbx1FNP4cknn5xxgABMrZ4KQVyJzCQQLs9UvfGpp55CbGws9uzZg/j4eIvHG41GSKVSdHR0TLnF8dUolUpIJBIsWbLE4eo12MLIyAiqq6uRm5s7pw2sKIpCe3s7pFIpIiMjERcX5xDFiIxG4+gs0pUl04uLi3Hw4EF88803TldSnHAapE4CQVwNRVH48ssvsW/fPmRnZ2Pnzp2IioqyeLxer0drayt6enoQHx+PqKioGV3gTReIzMxM+Pr6zuYtOCWapnHx4kXEx8fbrOQyRVGQyWSQy+WIjo5GbGysXbtrCgQCeHl5mZUW1+v1WLVqFf71r3+57G4XwiZIkEAQU2U0GvHhhx/i8OHDWLVqFR577DGEhIRYPF6n00EsFkOlUoHD4SAsLGxawUJTUxP8/PzGbU9zJQqFAr29vRbXxufS2FkhezUAU6vVqKurA5/PNzv3K6+8gr6+Pjz77LM2HRPhckiQQBDTpdfr8eabb+KVV17B+vXr8cADD0xavVGj0UAkEkGtVk+5EZFKpYJQKER2drZLLjPo9XqUl5fbvfT02AZg1lpCmgqaplFZWYmEhASzfIOOjg786le/QnFxsdl2SIKwMhIkEMRMjYyM4OWXX8Y777yDe++9F3ffffekrbbVajWEQuFo10JLyWamZYaMjAyXvQjU19cjNDR00mUdWxq7hBQXFzfn3UIVCgWUSqVZaWSapnH33XfjrrvucppmbIRTI7sbCGKmfH19sWPHDpw/fx59fX3Iz8/He++9B4PBMOHx/v7+yMjIQGJiIkQiEaqrqzE0NGR2nFgsRnR0tMsGCH19fdBqtQ5VE8LT0xMJCQnIzs7G0NAQSkpKoFAo5qRbqF6vh1gsnrB1+5kzZ6DT6XDzzTdb/bwEMR1kJoEgpqmrqwvPPvsszp8/j+3bt2Pt2rWTTk339fVBKBTCx8cHXC4Xvr6+GBgYQFNTE/h8vksuMzhLsqZWq4VYLEZ/fz/YbDbCw8Ot9nk1NjYiMDBwXEEj4PKy1cqVK/H5559PWFSJIOYAWW4gCGtra2vD008/jYaGBhQUFOC6666btCBTb28vRCIRFixYAJVKhYyMjElzHOYzoVAIDw+PSbeaOhJTvsnQ0BA4HA4WLlw4q2BhYGAAzc3NExbxOnToELy9vfHkk0/OdtgEMVUkSCCIudLU1ISioiL09PSgqKho0tkBmqZRU1MDlUqF6OhosFgsuybs2cPQ0BDq6+snzOZ3dKbW4iMjI1NOTr3SZJUlJRIJ7rrrLvz000+T5r0QhJWRnATCcZ08eRI8Hg8JCQk4ePCgxeM++eQTMBgMh6slz+Px8MFLBQaeAAAbW0lEQVQHH+Dw4cM4dOgQNm3aZLF6o1qthkajwbXXXgs/Pz+Ul5dDLBZbzG+Yb2iaRmNjI5KTk50uQAD+11o8NTUVMpkMFRUVUKlU03oNuVyOoKAgswCBpmns2LFjdCaBIByB8/0vJeYVo9GIrVu34uuvv0Z9fT2OHz8+4QV2cHAQR48exdKlS+0wyqtjMBjIzs7Gl19+iccffxyPP/447r//fkgkktFjdDodXnrpJaSkpMDDwwMxMTFYunQp3N3dUVZWhra2NovdKecLuVyOwMBABAYG2nsos2JKTk1KSoJEIkFVVRUGBgau+nM6nQ5SqRQcDsfsuf/+978ICgrCypUr52LIBDEjJEgg7Kq0tBQJCQngcDjw8vLCxo0bceLECbPjCgsLsXPnTofva8BgMHDdddfhzJkzuOOOO3Dvvfdi27ZtUCgUeOaZZ6BUKrFgwYLR493c3BAXF4fc3FwYDAaUlJSgvb19XgYLGo0GMpkMXC7X3kOxmgULFiArKwscDgdCoRDV1dUYHBy0eHxzczO4XK5ZKWi1Wo39+/fjueeec8lEVsJxkSCBsCu5XD6u0iCTyYRcLh93TFVVFaRSKdauXWvr4c2Ym5sbbrrpJvz444/Iz8/HunXr8Nlnn2H79u0THu/h4QEOhwM+nw+1Wo3S0lJ0dnbOydY7e2lqakJCQoJdyx/PlaCgICxZsgTx8fFobm5GTU0N1Gr1uGP6+vqg1+sRHh5u9vN/+ctfcN9995ntdCAIeyNBAmFXE10Ex95JURSFbdu24fnnn7flsKzG3d0dv/nNb7Bw4UJs3LgRt912Gw4fPjxh3QTg8j79xMRELFmyBEqlEmVlZejp6XH6YKGrqwtubm4ICwuz91DmVHBwMHJychATE4P6+nrU1dVhZGQEFEWhubkZPB7PbKagoaEB586dw9atW+00aoKwjAQJhF0xmUxIpdLRf8tksnF3U4ODg6itrUV+fj5YLBYuXLiAdevWOVzy4mReeeUVXHPNNXj22WdRUlKCgIAArFy5En/729+g1Won/Blvb2+kpKRg8eLFUCgUM0qQcxQGgwFCoRA8Hs/eQ7GZ0NBQ8Pl8REZGoqamBmVlZQgJCTErnEVRFHbs2IEjR444RDdKgrgS2QJJ2JXBYEBSUhK+++47xMTEIDc3F++//77FZj/5+fl47rnnwOfzbTzSmRGLxVi/fj3Onz8/rmhQf38/jhw5gs8//xxbt27Fpk2bJr1IDA0NQSgUgqIoJCQkjMtrcHSWiga5iuHhYVRUVMDLywvBwcFgsVijuxc+/PBD/PTTT/j73/9OchEIeyJbIAnH5OHhgZdffhlr1qxBSkoKNmzYgLS0NBQVFeGLL76w9/Bm7b333sPRo0fNqgoGBQXh6aefxnfffYempiasWLECJ06csJiwGBAQgMzMTHA4HLS0tODSpUtma96OSKVSQa1WIzo62t5DsZuWlhakpqYiLy8PQUFB2LZtG7Zu3YqWlhYcOXIEBw4cIAEC4bDITAJBOACpVIo///nPqK2txZ49e7BixYpJLxxKpRJCoRD+/v7gcDgOueuDoiiUlZUhPT3dZftTdHd3Q6FQID09ffQxnU6HY8eO4a9//SsyMzPxr3/9C8HBwXYcJUGQmQSCcGixsbE4duwY3nrrLbz77ru4+eabUVpaajFh0bTmHRYWhurqajQ1NUGn09l41JNrbW1FRESEywYIRqMRQqEQSUlJ4x738vLC8uXLERcXh7Vr1+K6667Ds88+azGZlSDsicwkEISDoWkaFy9eRGFhIRgMBoqKipCamjppqWeFQoHW1laEh4cjPj7e7klwarUatbW1yM3NdcrKitYgEAjg5eWFuLi4cY8bjUasWbMGr776KrKysqDRaHDs2DEcO3YMr732Gq699lo7jZhwYaR3A0E4G5qmce7cORQVFSE6OhoFBQVgs9kWj6coCnK5HDKZDNHR0YiNjbVLTQKaplFZWYmEhAQEBQXZ/PyOQK1Wo66ubsL+FG+++SYEAgFefPHFcY8PDw+DpmmXbfpF2BUJEgjCWVEUhZMnT+LPf/4zMjIysGvXLkRFRVk83mg0QiqVoqOjA7GxsVi0aJFN7+bb29sxMDCA5ORkm53TkUwWJHV3d2Pt2rU4f/68ywZQhEMiQQJBODuKovDxxx/j0KFDWLFiBbZt2zZpF0K9Xo+2tjZ0d3cjPj4eUVFRc55Fr9PpUFFRgdzcXLsvedhLR0cH+vr6kJqaOu5xmqbx4IMP4sYbb8TGjRvtNDqCmBBJXCQIZ+fm5obf/OY3KCkpQXJyMn75y1/i0KFDk1Zv5HK5yM7OxsDAAEpLS9HV1TWn1Rubmpom7E3gKvR6PSQSCRITE82eu3DhAjo6OrBhwwY7jIwgZoYECQThZDw9PXH//fejtLR0tGvgq6++arF6o5eXF3g8HjIzM9HT04Py8nIolUqrj6unpwcURSEiIsLqr+0shEIh4uPj4enpOe5xvV6PXbt24ejRoy6byEk4J/LXShBOysfHB3/605/w448/Qq1WIz8/H++88w4MBoPF41NTU5GamgqZTIbKykr09/dbZSxGoxECgcBl8xAAYGBgAENDQxMWjnr99dexevVql/79EM6J5CQQxDzR09ODAwcO4MyZM3j88cdxyy23THrXOjg4CIFAADc3N3C5XAQEBMz43M3NzfDz8wOTyZzxazgzmqZRXl6OlJQUs99je3s7fv3rX6O4uNhla0YQDo8kLhKEq5DJZNi3bx8uXbqEJ598Etdff/2kCYsqlQoCgQA+Pj7gcrlmJaSvZmBgAM3NzcjJyXHZ8sIymQzDw8NmhZNomsbvfvc7/O53v8PNN99sp9ERxFWRxEWCcBVMJhOvv/463n77bRw/fhw333wzLly4YDFh0dTeOCoqCjU1NWhsbLSY33AliqLQ2NiI5ORklw0QdDodpFIpOByO2XOnT5+GwWDA2rVr7TAygpg9MpNAEPMYTdOorq5GYWEhAKCwsBBpaWmTVm/s6uqCWCzGwoULwWKxzJLwxmptbYXBYACXy52T8TuD2tpaREREmCVsajQarFy5Ev/+978RHx9vp9ERxJSQ5QaCcGU0TeP8+fMoKipCZGQk9uzZM+mFnaIodHR0oK2tDVFRUYiNjTXb1jgyMoLq6mrk5eW5bMZ+X18fJBIJsrKyzAKvQ4cOwdvbG08++aSdRkcQU0aCBIIgLl/8v/nmGzz99NNYvHgxdu/ePWkbZ4qiIJPJIJfLERMTAyaTCTc3t9H+EiwWCyEhITZ8B45jsi6XYrEYmzdvxk8//QRvb287jZAgpowECQRB/A9FUfjkk09w8OBB5OfnY9u2bVi4cKHF4w0GA6RSKRQKBeLi4sBgMKBSqcyqCroSiUQCiqLMchFomsbtt9+Oxx9/HCtXrrTT6AhiWkjiIkEQ/+Pm5oYNGzagtLQUaWlpuOmmm3Do0CEMDg5OeLyHhwfYbDb4fD6GhobQ0NCAoKCgOa3e6MhGRkagUCjAYrHMnvvvf/+LkJAQXH/99bYfGEFYGQkSCGIWTp48CR6Ph4SEBBw8eHDCYz766COkpqYiLS0Nd9xxh41HODkPDw/cd999KC0tRXBwMFatWoVXX30VGo1mwuM9PT1hMBjA4/EwODiIsrIy9PT0uFyw0NzcjMTERLNcjKGhIezfvx/PPfecy+72IOYXstxAEDNkNBqRlJSEU6dOgclkIjc3F8ePHx83Bd/S0oINGzbg9OnTCAkJQVdXl0OXLR4YGMCLL76ITz75BA8++CDuuOOOcQmLbW1t6O3tHU3UGxkZgVAohEajQUJCAoKDg+04etvo7u6GQqFAenq62XNFRUWIi4vDI488YoeREcSMkeUGgrC20tJSJCQkgMPhwMvLCxs3bsSJEyfGHXPs2DFs3bp1NLnPkQMEAAgMDERRURFOnz4NoVCI/Px8fP7556AoCkNDQ1i3bh0iIyNH75J9fX2xePFiJCcno7W1FVVVVRaXLOYDo9EIoVBoVjQJAOrr63H+/Hk8+OCD037dq81IHTlyBKmpqcjIyMDKlSvR2to6o/ETxHSRIIEgZkgulyM2Nnb030wmE3K5fNwxzc3NaG5uxvLly7Fs2TKcPHnS1sOckbCwMBw+fBj/+c9/cO7cOaxatQoPPfQQfv3rX2PRokVmxwcEBCAzMxMcDgctLS24dOkS1Gq1HUY+t8RiMRYtWmS2Y4GiKOzcuRMvvvjitDtgGo1GbN26FV9//TXq6+tx/Phx1NfXjztmyZIlKC8vx6VLl7B+/Xrs3Llz1u+FIKaCBAkEMUMTLdVduQ5tMBjQ0tKCs2fP4vjx49iyZQtUKpWthjhrMTExeO2111BQUIBz587hwoULk1ZvDAoKQnZ2NphMJurr61FfX28xv8HZqNVqKJXKCftTfPTRR0hISMDSpUun/bpTmZFasWLF6DbLZcuWQSaTzexNEMQ0uWbTd4KwAiaTCalUOvpvmUxmdpfNZDKxbNkyeHp6gs1mg8fjoaWlBbm5ubYe7owZjUYcOnQIX3/9NRgMBgoLC2E0GlFUVITFixdPmKAXGhqKkJAQ9PT0oLq6GsHBwWCz2fDy8rLDO5g9mqbR2NgIHo9nlqyoUqnwwgsv4OzZszNKVpxoRqqkpMTi8W+88QZuvPHGaZ+HIGaCzCQQxAzl5uaipaUFYrEYOp0OH3zwAdatWzfumFtvvRVnzpwBcLlLY3Nz84Q1/h3Za6+9huXLlyMrKwuZmZk4ceIEnnzySezevRv33nsvBALBhD/HYDAQHh6OvLw8BAYGorKyEkKhEHq93sbvYPYUCgV8fX0RFBRk9ty+ffvw2GOPTVpnYjJTmZEyeffdd1FeXo4dO3bM6FwEMV1kJoEgZsjDwwMvv/wy1qxZA6PRiHvvvRdpaWkoKioCn8/HunXrsGbNGvy///f/kJqaCnd3dxw+fHjGFxN7kMlkeOONN/Djjz+OPsZgMLB8+XJ89913+Oabb/CHP/wBaWlp2LVr14T5CgwGA9HR0YiMjER7ezvKy8sRHR2N2NhYuLu72/LtzIher4dEIgGfzzd7rqqqCvX19XjllVdm/PpTmZECgG+//Rb79+/H999/T6o4EjZDtkASBGFRf38/pFIpFi9ebPEYiqLw6aef4uDBg/jFL36Bbdu2ISwszOLxRqMRUqkUHR0diI2NxaJFixy690NjYyMCAwPNLtxGoxFr1qzB3/72N2RmZs749Q0GA5KSkvDdd98hJiYGubm5eP/995GWljZ6TFVVFdavX4+TJ08iMTFxxuciCAvIFkiCIKYvKCho0gABuFy98fbbb0dJSQnS09Oxdu1aHDhwwOJWSHd3d7BYLOTm5kKr1aK0tBQdHR0OWZBpYGAAQ0NDE/a3eOutt7B06dJZBQjA+BmplJQUbNiwYXRG6osvvgAA7NixA0NDQ7j99tuRlZVltqxFEHOFzCQQBGFVGo0Gr732Gt544w3cdddd2LJlC3x8fCwer9PpIBaLoVKpwGazER4e7hDVCmmaRnl5OVJSUhAQEDDuue7ubqxduxY//vgjAgMD7TRCgrAaMpNAEIRt+Pj44LHHHkNxcTG0Wi3y8/Px1ltvWUxY9PLyAo/HQ2ZmJnp6elBeXg6lUmnjUZuTy+UIDg42CxBomkZRURH27NlDAgRi3iNBAkEQcyIgIACFhYU4c+YMJBIJVqxYgU8//RQURU14vI+PD1JTU5Gamgq5XI6Kigr09/fbeNSX6XQ6SKVSsNlss+eKi4vR0dGBDRs22GFkBGFbZLmBIAibaG9vx759+1BZWYndu3dj1apVkyYsDg4OQiAQwM3NDVwu1+yOfi7V1tYiIiLCrIy2Xq/HypUr8d5774HH49lsPAQxxywuN5AggSAImxIIBNi7dy9kMhkKCwuxbNmySXMQVCoVBAIBfHx8wOVy4evrO6fj6+vrg0QiGW1iNdZf//pXDA4O4plnnpnTMRCEjZEggSAIx0HTNGpqalBYWAi9Xo+ioiKkp6dbDBZomoZSqYRQKMSCBQvA4XDmpFYARVEoKytDRkaGWTAil8uxfv16FBcXj5ZIJoh5ggQJBEE4HpqmUVxcjKKiIoSGhmLPnj2T1gGgaRpdXV0Qi8VYuHAhWCwWPD09rTYeiUQCiqLMqmLSNI3Nmzfj7rvvxs0332y18xGEgyC7GwiCcDwMBgPXXnstTp06hS1btuCBBx7Aww8/bNZNc+zxkZGRyMvLg7+/P8rLyyESiWAwGGY9lpGRESgUCrBYLLPnTp8+DaPRiLVr1876PAThTMhMAkEQDoOiKHz22Wc4cOAAfvazn+Hxxx+ftHojRVGQyWSQy+WIiYkBk8mccfXGixcvIjY21qxstkajwcqVK/Hvf/8b8fHxM3ptgnBwZCaBIAjH5+bmhvXr16OkpARZWVm4+eab8eyzz2JgYMDi8XFxccjLy4PRaERJSQnkcrnFbZaWdHd3w93dfcK+Gi+++CI2bNhAAgTCJZGZBIIgHJZWq8Xrr7+OY8eO4be//S22bNky6e4GUzOm3t5esNlsREREXLV6o9FoRGlpKbKzs82SIcViMTZv3ozi4mKnbXNNEFNAZhIIgnA+3t7eeOSRR1BcXAy9Xo8VK1bgn//8p8XqjZ6enkhMTMSSJUvQ19eHsrIy9PT0TNoXQiwWIyYmxixAoCgK27dvx+HDh0mAQLgsEiQQBOHwAgICUFBQgLNnz6Lt/7d3pyFVbX8Yx59TB68VKc0UxyLZpFYqVtLwIjQa4BAniCgLyokiKaSEyCYb6IVFhFQQBGlFYJQQRpxsEJKkRMuw4giaKE6FqSVUTum5L/78BXObt3ur4/D9vHK7fm5++93jWmuvXV2tiIgIZWVlqaury7T+r7/+UmBgoIKDg/X+/Xu9ePFCHz9+7FP35csXNTc3y8/Pr8/Y3bt3NWnSJEVGRv7y5wGGCpYbAAw59fX1OnnypJ4/f64DBw5o1apVP9yw+PnzZ1VUVKi7u1uGYWj8+PFyu90qLi6WYRjy9fXtU79y5Urdv3/f9AuQwDDDOQkAhp+KigodO3ZM1dXVOnz4sJYtW/bDPQgtLS2qqKiQ1WqVj4+PWltbFRQU1KfuyJEjmjVrlhITE39n+8BgQUgAMHz9//TG9vZ2paSkKCQk5IdhoaGhQa9fv9a0adNkGEavT1m7XC7t3r1b+fn5slqtf6J9wNPYuAigr5ycHAUEBMgwDKWmpvYZr66uVmRkpMLCwhQSEiKn0+mBLgcWHBys27dvKyUlRUeOHFF0dLTKysr6rW9ublZgYKCmTZumkpISZWRkqL6+Xt3d3dq3b5/S0tIICICYSQBGrK6uLs2ZM0cPHz6UzWZTeHi4MjMzNXfu3J6aHTt2KCwsTAkJCXK5XLLb7aqqqvJc0/+A2+3Wo0ePdPToUQUGBio5OVk2m61n3OVy6ePHjz1LE263W1euXFFaWpqCg4Pl6+ur9PT0AV+dBIYRZhIA9FZYWCjDMOTv7y8vLy9FRUUpOzu7V43FYuk5yKilpUUzZszwRKs/xWKxaNWqVcrPz9fatWu1ZcsWJScn68OHD/r27ZtiY2Pl7e3dEwIsFotiY2P14MEDlZWVqaioSGfOnNHXr189/CSA5xESgBGqrq6u16t/NputzzcTjh07puvXr8tms8lut+v8+fN/us1/bdSoUVq/fr0KCgq0YMECORwOxcfHKywsTAsXLuxTf+rUKSUlJamoqEijR4/W0qVLdfHiRXV0dHige2BwICQAI5TZUuP3U+yZmZmKiYlRbW2tnE6ntm7d+tNHHnua1WpVTEyM7t69q2fPnqmkpETnzp1Ta2trT01xcbFKS0sVExOjMWPGKCkpSU+ePFFDQ4Nevnzpwe4BzyIkACOUzWZTTU1Nz3VtbW2f5YTLly9r48aNkqSlS5eqra1NjY2Nf7TPX+Xw4cO6cOGCnj59qu7ubkVERCg9PV3t7e3at2+fzp071+usBR8fHx09elSLFy/2YNeAZxESgBEqPDxc5eXlqqysVEdHh27cuCGHw9GrZubMmcrNzZUklZaWqq2tTVOmTPFEu/9JXl6empubtW7dOo0bN04HDx5UXl6eamtrFRoaKsMwFBoa6uk2gUGHtxuAEczpdGrPnj3q6upSXFycDh06pJSUFC1atEgOh0Mul0vbt2/X58+fZbFYdPr0aa1evdrTbf+Uzs5OLVu2TDdv3tTs2bP7jL969UqTJ08eEpsygd+Ew5QAjExut1tv3rxRcHCwp1sBBitCAgAAMMU5CQAA4OcQEgAAgClCAgAAMEVIAAAApggJAADAFCEBAACYIiQAAABThAQAAGCKkAAAAEwREgAAgClCAgAAMEVIAAATOTk5CggIkGEYSk1N7TPe3t6uTZs2yTAMLV68WFVVVX++SeA3IyQAwHe6urq0a9cu3bt3Ty6XS5mZmXK5XL1qLl++rAkTJujt27fau3ev9u/f76Fugd+HkAAA3yksLJRhGPL395eXl5eioqKUnZ3dqyY7O1vR0dGSpA0bNig3N1cDfFUXGHIICQDwnbq6Ovn5+fVc22w21dXV9VtjtVrl6+urpqamP9on8LsREgDgO2YzAhaL5adrgKGOkABgSIuLi9PUqVM1f/5803G3263ExEQZhqGQkBAVFxcPeE+bzaaampqe69raWs2YMaPfmm/fvqmlpUUTJ078D08CDD6EBABDWkxMjHJycvodv3fvnsrLy1VeXq5Lly4pISFhwHuGh4ervLxclZWV6ujo0I0bN+RwOHrVOBwOXb16VZKUlZWlFStWMJOAYYeQAGBIW758+Q//g8/Ozta2bdtksVi0ZMkSffr0Se/evfvhPa1Wqy5cuKA1a9YoKChIGzdu1Lx585SSkqI7d+5IkuLj49XU1CTDMHT27FnT1ySBoc7q6QYA4HfqbxPi9OnTf/h3drtddru91+9OnDjR87O3t7du3br1a5sFBhlmEgAMa2wwBP49QgKAYe2fbEIEYI6QAGBYczgcunbtmtxutwoKCuTr6zvgUgOA/2FPAoAhbfPmzXr8+LEaGxtls9l0/PhxdXZ2SpJ27twpu90up9MpwzA0duxYZWRkeLhjYOiwDHCMKGeMAgAwvPW7SYflBgAAYIqQAAAATBESAACAKUICAAAwRUgAAACmCAkAAMAUIQEAAJgiJAAAAFOEBAAAYIqQAAAATBESAACAKUICAAAwRUgAAACmCAkAAMAUIQEAAJgiJAAAAFOEBAAAYIqQAAAATBESAACAKUICAAAwRUgAAACmCAkAAMCUdYBxyx/pAgAADDrMJAAAAFOEBAAAYIqQAAAATBESAACAKUICAAAwRUgAAACm/gbMn69ih7VzLwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.arange(8)\n", "y = np.arange(8)\n", "X, Y = np.meshgrid(x, y)\n", "x, y = X.ravel(), Y.ravel()\n", "\n", "top = 2*x**2 - x*y\n", "bottom = np.zeros_like(top)\n", "width = depth = 1\n", "\n", "\n", "# cmap = cm.get_cmap('jet')\n", "l = min(top)\n", "m = max(top)\n", "\n", "fig = plt.figure(figsize = (20, 15))\n", "ax = fig.add_subplot(121, projection = '3d')\n", "ax.bar3d(x, y, bottom, width, depth, top, alpha = 0.5, color = [cmap((k - l)/m) for k in top])\n", "plt.tight_layout()\n", "ax = fig.add_subplot(122, projection = '3d')\n", "ax.bar3d(x, y, bottom, width, depth, top, alpha = 0.5, color = [cmap((k - l)/m) for k in top])\n", "ax.view_init(elev = 10., azim = 180)\n", "\n", "# plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "import ipywidgets as widgets\n", "from ipywidgets import interact\n", "def bar_approximator(elev, azim):\n", " fig = plt.figure(figsize = (20, 15))\n", " ax = fig.add_subplot(111, projection = '3d')\n", " ax.bar3d(x, y, bottom, width, depth, top, alpha = 0.5, color = [cmap((k - l)/m) for k in top])\n", " ax.view_init(elev = elev, azim = azim)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'cmap' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m-----------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m~/opt/anaconda3/lib/python3.7/site-packages/ipywidgets/widgets/interaction.py\u001b[0m in \u001b[0;36mupdate\u001b[0;34m(self, *args)\u001b[0m\n\u001b[1;32m 254\u001b[0m \u001b[0mvalue\u001b[0m \u001b[0;34m=\u001b[0m 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\u001b[0mazim\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mNameError\u001b[0m: name 'cmap' is not defined" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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DA7VaLcVisa6tU+l0euKNi6Xrx4b3qr4JYoALAIAruKtkAEBfbhq1HQ6HZdv2jd97dnamra0tLSws6NWrV2MfVTxO/VYGENRgGDobF3dqtVqqVCre5KlareY1Lu6svonFYmM9349V33z4tVTfAACCiqAGANDTTQGN66bA4d27d9rc3FQymdT333+vVCo18nMGIMXjcS0vL/dsXGwYhk5PT7W7uyvTNJVMJrvCm1Qq5ZvGxZZlqdFoKJ/P68WLF5IYGw4ACAaCGgBAl16jtq+7EOpVUWMYhvL5vBzH0YsXL5TL5cZx2lOFihqM202Ni93eNycnJ6rX64pEIl3hTTabnWjj4na77W2zZGw4ACAICGoAAJJ6BzQf6xMRDoe9wKFer2t7e1u1Wk1ra2tdvTSCpLN56nUIauAHnY2LV1dXveOmaXrhTalUkmEYsm27q3FxLpdTPB4feRjyYTNixoYDAIKAoAYAAs59l9o0Tdm23VdA4wqFQjJNU3/7t3+r8/NzffXVV1pdXeVi6CMIauBn0WhUCwsLWlhY8I45juM1Lr64uFCxWFSz2VQsFusKb4bduPhjwedtxoZ/2PuG6hsAgN8Q1ABAQLlNPN1R24MENNL7/hHFYlGnp6d68eKFnj17xsVOnwhqMG3cZsSZTEb379/3jrdaLa/6plAoqFarSVJX4+JcLnfrxsX9VKhdd77XVd+02+2u6hsaFwMA/IagBgACyLbtroBmkHeUbdvW4eGhDg4OtLq6quXlZX3yyScjPuPZwgUgZkU8HtfS0pKWlpa8Y7Zte42Ly+Wy9vb2ZJqmEomEF9z027j4tkFNL+7P+bDfDmPDAQB+Q1ADAAHibnGyLEtS73edr+M4jo6Pj7W7u6vV1VW9efNG7XZbf/M3fzPKU/atu1xAhkKhG8eaA9MsHA4rl8t1NRJ3HEfNZlOGYahSqXQ1Lnarb3K5nDKZjKLRaNf3jTrYZGw4AMBvCGoAIAD6GbV9k7OzM21tbWlubk4//vijEomEpPfbn4K4hcfdusTFGdCfUCikZDKpZDKplZUV77hpml71TalUUrValWVZSqVSymazisVism177I+3j40N/7D6hrHhAIBhIqgBgBl214Dm4uJCm5ubisfj+vbbb5VOp7s+H9TKkM5pV536/d3SowZ4LxqNan5+XvPz894xx3FUr9dlGIZ+/fVXXV5e6i/+4i8UjUa9bVPZbFaZTGasW5E6e9p0Ymw4AGDYCGoAYAb1GrU9yMVBtVpVPp+XaZp69uyZ5ubmen5dOBwOZFBz16CFoAa4XigUUjqd9j5s29bXX3+tdrvtbZ06ODhQtVqVJKXT6a4AJx6Pj/18+xkb7j4XMzYcAPAxBDUAMEN6BTSDvOPcaDS0vb0twzD09OlTLS8v3/j111WWzLq7VhIR1AD96dzyFIvFtLi4qMXFRe/ztm2rVqupUqmoXC6rUCio3W57jYvdj3Q6PfatU+5/rxsb3omx4QCATgQ1ADAD3MV/u92+VUDTbre1u7urs7MzffXVV/r666/7ukAI6tanu148EdQA/flYb5pwOOyFMZ3f02q1VKlUZBiGTk9PVavVur7W/ehsXDwOjA0HAPSDoAYAppg7maRz1PYgAY1lWdrf39fR0ZE+//xzbWxsDPT9Qb1gCGpABYzbbZoIh0IhJRIJJRKJrsbFlmXJMAwZhqGTkxNtb293NS52P5LJ5ESqb+4yNpzqGwCYLQQ1ADCl3AoaN6AZZKFu27aOjo5UKBT06NEjbWxsXLlIwPXoUQOMxzCnPUUikRsbF1cqFZVKJTUaDUWj0a7wJpPJjP05krHhABBcBDUAMGVs25ZpmrIsS9Jgk5wcx9Hbt2+1vb2tlZUVvX79WrFYbJSnO5MIaoDxGPVY7s7Gxffu3fOOu42LDcNQsVhUtVqV4zhKp9NeeJPL5XzVuJix4QAwOwhqAGBK3HXU9q+//qp8Pq9sNqsffvhByWRyVKc68whqgPGY1OPkpsbFhmHo/PxcBwcHarVaisfjVxoX+3VsuOM4V0aGMzYcAPyHoAYAfO6uAc3l5aXy+bwikYh+85vfKJPJjOpUA+O6oKXf+4WgBuifXwKEXo2LJanZbHrVN+VyWbVaTaFQSJlMpivAGXf1ImPDAWB6EdQAgE/1GrU9yKK5Vqspn8+r1WppfX29qy8D7oaKGmA8Rr31aRjcxsXLy8veMcuyVK1WvalTu7u7Mk1TyWSya+vUpBoXMzYcAPyNoAYAfKZXQDNIGX2z2dT29rYuLy/19OnTrqknGI5hBDUAPm4agppeIpGI5ubmNDc35x1zHEeNRsOrvjk+Plaj0VAkEukKb/zUuFhibDgATAJBDQD4hPuOZrvdvlVAY5qmdnd3dXp6qidPnujFixcsnEdkGBUxVNQAHzetQU0voVBIqVRKqVRKq6ur3nHTNK80LrZt22tcnMvllM1mFY/HfTk2vFQqaWFhQZlMhrHhADAkBDUAMGHuuNXOUduDBDS2bWt/f1/FYlGffvqpNjY2xtrIUpqti6l+sPUJGI8gPLdEo1EtLCxoYWHBO2bbtjc2vLNxcSwW66q+GXfjYulq9c3l5aXm5+cZGw4AQ0RQAwAT5FbQuAHNoKO2j46OtLe3pwcPHujNmzeKRsf/tN7ZjDIoCGqA8Qjq4yQcDiuTySiTyej+/fve8Var5VXfFAoF1Wo1SVImk/Eqb8bduNhxHC+A+fC4xNhwALgNghoAmADbtmWapizLkjTYJCfHcXR6eqrt7W0tLi7q1atXisfjozzdG4XDYdm2PfZ3dSeJHjXAeLghAN6Lx+NaWlrS0tKSd8y2bVWrVVUqla7GxYlEomvrVCqVGslzz3XP/4wNB4DbI6gBgDG666jt8/Nz5fN5pVIpff/990qlUqM61b6Fw+HAvetNRQwwHjzOPi4cDiuXyymXy3nHHMfxxoZXKhWdnJyoXq93NS52P+7auHjQoJ6x4QDwcQQ1ADAGdw1oKpWK8vm8JOnrr79WNpsdyXneRigUkm3bkz6NsbopqOECAhguHlODC4VCSiaTSiaTXZP/TNP0qm9KpZIMw+hqXOx+JBKJgao873of3XZseOf2KapvAMwSghoAGKG7BjT1el35fF6NRkPr6+tdzSb9IogVNUG8zcAkBK3/1ahFo1HNz89rfn7eO+Y4jur1uiqVii4uLlQsFtVsNhWNRrv63mQymZ6VM6Pc+srYcABBRVADACPQOb7UvdAYZLHYarW0vb2td+/e6enTp1pZWfHtYpOKGgCjQlAzeqFQSOl0Wul0+trGxQcHB6pWq5LeNy7urL4Zd4+yfsaGd/7dhMNhxoYDmDoENQAwRL0WioMsYE3TVKFQ0PHxsZ48eaLnz5/7fjHpNhMOkpvCKS4sgeGhmfDk3NS42DAMlctlFQoFGYahv/7rv+6qvkmn02N/Hryu+oax4QCmEUENAAyBuxjsHLU9yMWFbds6PDzUwcGBHj9+rJ9++mlqLk6CWF1y3WKed2mB4Qrac4vf9Wpc/D//5//U8+fPveqb09NT1Wo1hcPhK42Lo9HxXnrctHWKseEA/IygBgDuyLIs1Wo1RaNRb1E4SBPGUqmk3d1d3b9/X2/evBn7QvauqKgBMEpcKPvbdY2LLcvywpuTkxNtb2/LsiylUqmu8CaZTI71PmZsOIBpMF1XAwDgI7ZtyzRNNRoN/fzzz3r16tVAAc3Z2Zm2tra0sLCgV69eKR6Pj/iMRyOoQQ3v9AOjx1bC6RWJRK5tXOyODS+VSmo0GopGo15wk8vllE6n7zw2fFD9jg13MTYcwCgR1ADAgD6c5BSJRAa6mHj37p3y+bwSiYS+++47pdPpUZ7uyAUxtAjibQYmgaBmtnQ2Lr537553vN1ue9U3h4eHqlarchyna2x4Lpcb+xsajA0HMCkENQDQp+tGbYdCIVmW9dHvNwxD+Xxetm3r+fPnXXv8pxkVNQBGhaAmGGKxmBYXF7W4uOgds21btVpNhmHo/Pxc+/v7arfbisfjXeFNKpUae0+3QceGh8NhxWIxGhcD6BtBDQB8xHUBjetji61Go6GtrS1Vq1Wtra11TdCYBeFwOHChBUENMB4ENcHV2YzY5U5wcrdOnZ2dqV6vKxQKeWPD3elTk2hcLPUeG27bthqNBmPDAfSNoAYArtFr1PYgC6h2u62dnR2Vy2U9ffpUq6urM7kAC2Jj3SDeZmASCGrQKRQKKZFIKJFIaHl52TtuWZY3NryzcXEymewKb8bduNg9Z8aGAxgUQQ0AfKBXQDNIWbVlWSoUCiqVSvr888+1vr4+04sstj4BGBWCGn/zy/NgJBLR3Nyc5ubmvGOO46jRaFxpXByJRLzgJpvNKpPJ+KpxMWPDAUgENQDgccuTTdOUbdsDBzS2batYLGp/f1+PHj3SxsbG2Bd/kxDE0CKItxmYBB5n/mbb9tj7w/QrFAoplUoplUppdXXVO26aphfeFItFr3GxOzbcDXHi8bivx4Z/uHWKseHAbCGoAQC9X2y2220voBlkseM4jtrttv78z/9cq6urev36tWKx2IjP2D+oqAEwSlx4+pefg5rrRKNRLSwsaGFhwTtm27bq9boqlYrOz891cHCgVqulWCzWVX2TTqd91bj4urHhH26f4jEETB+CGgCB5lbQuFObBn03qlwuK5/PyzRNbWxsKJFIjOpUfYug5vbY1gHcjMeIv83K/RMOh5XJZJTJZLqOt1otVSoVGYahcrmsWq3W1bjY/Rj3mzMfGxveWX0jyQtrwuGw4vE41TfAFCCoARBIH5vk9DEXFxfK5/OKRqP65ptv9PPPPysej4/qdH0tiI11hzHpyg17WCgD1+Mx4m/TWFEziHg8ruXl5SuNi2u1miqVik5PT7W7uyvTNL3Gxe5HKpXyTeNiSTo+PlatVtPnn3/ufS1jwwH/IqgBECh3DWiq1apXQbO+vu41LnSrSoLQk+ZD4XBY7XZ70qcxdsMKagBcj6DG32Y9qOnFbUacy+W8Y52Ni93JU/V6XZFIpCu8yWazE2lc7J6jG8q4/5+x4YB/EdQACIS7BjTNZlPb29u6vLzU2tpa17tr0vuFW5CDmqAFDsMIWQhqgI8jqPG3IAY1vXyscbFhGCqVSjIMQ7ZtK51Oe8FNLpcbS+Niy7K61iiMDQf8jaAGwEzrNWp7kIVFu93W7u6uzs7O9OWXX+rFixc9vz8cDsuyrEA1EXax9QnAqBDU+Bv3z816NS52HEe1Wk2GYeji4kLFYlHNZlOxWKyr8iaTyQw1BLNtW9HozZd+dx0b7n4AuDuCGgAzqVdAM8jiwbIs7e/v6+joSJ999pk2NjZu/P4gNtR1BfG2DyOcoqIG+DgeI/5GRc3g3GbEmUxG9+/f9463Wi2v+ubg4EDValWSuhoX53K5W78h9GFFzSDn2/lfV79jw6m+AW6HoAbATHEXDqZpeqO2B1lEOo6jYrGoQqGghw8famNjo6+FTRDDClcQA4frbnOtVtPh4aHS6bRyudyNzSSD+HsDboMLPP8iqBmeeDyupaUlLS0tecds21a1WvWmTu3t7ck0TSUSia7wpp/GxcPenn2XseHhcNibPAWgN4IaADPDtm21220voBlkm5PjOHr79q22t7e1vLys169fD/SuVZCDmiDe9g//rtrttra3t3V+fq6HDx+qXq/r7du3XjPJXC7nLajdcnaCGuDj2Frjb+7rLUYjHA73bFzcbDa96pvT01PVajWFw+Gu8CaTyXRtdbIsa+Sh2m3GhrsBjvtB42LgPYIaAFOvM6CRBm8U/OuvvyqfzyuTyeiHH35QMpkc+BzcZsJBFMR+Le7WJ9u2tb+/r2KxqC+++ELr6+tX9vCbpqlKpXKlnL3Vauno6EiLi4vKZrMf7R0ABBFBjb+5W10wPqFQSMlkUslkUisrK95x0zS96pvj42MZhiHLspRKpZTNZlWtVru2g4/7nK+rvmm3213VN27IE41Gu3rf8DyAoGFVCGBq3XWSU6VS0ebmpsLhsF6+fKlsNnvrc3GbCQdREJsJS+9Htf+P//E/9ODBA2+LXK/AKhqNanFxUYuLi94xy7L0888/KxQK6eTkRNvb27Isy5sE4r6DGo/Hx3mTAN8hqPE3tvCdGhoAACAASURBVD75RzQa1fz8vObn571jjuOoXq/LMAy9fftW+/v72tnZUTQavVJ9M+770X1cf7gdy62+aTabajQajA1HYBHUAJg6dw1oarWatra21Gw2tba21jWN4baCuP3HFbTbfn5+rr/5m7+RaZp68+aNEonEwD8jEokoHo/r/v37SqVSkn4/CaRSqej8/Fz7+/tqt9teLwI3vEkmkyxMERgENf5GUONvoVBI6XRa6XRax8fHWl9fVzKZVLvd7tm42O2v5oY4k3izgLHhwHsENQCmxl0Dmlarpe3tbb17905ra2taXl4e2ot50MKKTkHptVKtVrW5uSnHcfT06VOVSqWeIc0gF5adv7fOSSCdn3d7EVQqFR0fH6vRaCgajXb1vUmn01wsYSYR1PgbPWqmR+fUp1gsdqXS07Zt782CcrmsQqGgdruteDzuvdZks1ml02lfbZ1ibDhmFUENAN/rNWp7kEWCaZra29vT27dv9eTJEz1//nzoi4wgBzWzfttbrZa2trZ0eXmp9fV1LS0tqVqt3jmc6ifguq4XQbvd9vreFAoF1Wo1L+hxK2+y2exQJ3wAk0IQ4F/0qJkeH6t+6mxG7HKrWNw3C05PT1Wv17teb9zvGXeftUHGhrtfx9hwTBOCGgC+1SugGWRBaNu2Dg4OdHh4qE8//VQbGxsjW1DOelhxk1m97ZZlqVAoqFQq6cmTJ3rx4kXXwnAcQc11YrHYlTGulmV5peylUkmGYchxnCt9bwaZZgZM2iw+t8wS27ZphD4lbrNNLRQKKZFIKJFIaHl52TtuWZaq1aoqlUpXnzW3cbH7MYmtuh8bG95ut7s+x9hw+BXPrAB8x303xDRNr6x6kMWF4zgqlUra3d3VgwcP9ObNm5EvJCORSKCbCc/S1qfOv59Hjx55jYI7XXeb3QViP9s1hv17i0QiVxpJuqXshmGoXC5rb29PpmkqmUx2hTeJRIKFKXyLv03/YuvTdBnWfRWJRDQ3N6e5uTnvmOM4ajQaqlQqqlQqKpVK3lbdzvAmk8mMvdpz0OobxobDDwhqAPhK56ht90VxkH4fZ2dn2tra0uLiol69ejW2RnjhcPjKuzRBMUsVNeVyWfl8XvPz8zf+/Uy6oqZfnaXsDx48kPT7xbRbyn50dKRms6lYLNYV3kyiDwHwIXrU+BvNhOEKhUJKpVJKpVK6d++ed7yzcXGxWPS2DrvVnu7HbRrzD+OcGRsOvyKoAeALnQGNNHij4Hfv3mlzc1OpVErff/+9N0lnXGYprBhUOBye+ooawzD0yy+/KBwO65tvvulq6NvLsIKaSehcTK+urnrHW62W1/fm7OxMtVpN4XC4q2nxJN4JRbAR1PgbPWrwMTc1LjYMQ+fn5zo4OFCr1fIaF7sfk2iUz9hw+AVBDYCJcrc4uduGBn1xMwxDm5ubkqQXL14ol8uN5Dw/JshBTSgUmtrb3mw2tbW1JcMwtL6+3rWQvMmwqmH8FHDF43EtLy939SEwTdPrQ9D5Tmgmk+maAkLfG4wKQY2/UVGD2+jVuFiSN+XQ3a7b2Si/M8CZxGvOx8aGdz5XMTYcw0BQA2Ai7jpqu16va2trS/V6XWtra31fYI9K0IMaPwUO/bAsS3t7ezo5OdGXX36pr7/+eqC/v2FUEU3D7y0ajfbse1OtVmUYhk5PT7W7uyvTNL0mku7WqXg8zqIUd0ZQ42/0qJkOfn+tcd3UuPjD1xy315r7kUqlfNW4mLHhuCuCGgBjddeAptVqaWdnR+fn5/rqq6+0urrqi0Vi0JsJTwvHcVQsFlUoFPTJJ5/caRJYEIKaXtztULlcTg8fPpT0/ndRr9dlGIYuLi50eHjYVcbufv0kFtIARoetT9PBsqyp3bZ6U+Nit/rm5ORE9XpdkUjEC24mtV2XseEYFoIaAGPRa9T2IC9CpmmqUCjo+PhYX3zxhZ49e+arF7EgV9RMi7OzM+XzeS0tLen169d3Kp0OSkVNv0KhkNLptNLpdFcTSbeMvVKp6O3bt95C+sO+N1zo4SZ+eq5HN7Y+TYdZu5+u67VmmqYX3hwdHckwDNm23dW4eFIVn4OODXc/775GMjY8eAhqAIxUr4BmkMWCbds6PDzUwcGBPvnkE/3000++XGwQ1PhXpVLRL7/8olgspu+++07pdPrOP3Napj5NWq8ydtM0vabFBwcHqlarkqRMJuNV3mSzWUWjLFEAv5u1AGBWTXNFzSCi0agWFha0sLDgHXMcx2tcfHFxoWKx2DXp0A1vJtm4uFeAc3FxoVKppPX1de84Y8ODhVUQgJFwSzzb7fatAhrHcXR8fKzd3V2trq7qzZs3vr5wI6jxn0ajoXw+r3q9rmfPnnX1WRmGWQ9ZRiUajV6ZANLZg+Dk5ETb29uyLMt7F7Sz7w0A/6BHzXSwbTsQQU0vbjPiTCaj+/fve8dbrZZXfVMoFFSr1STJF83y3SENsVjMu98+Njb8P//n/6x//I//cWDv51nk36seAFPJ7YDvjtoeNKCR3m9R2dra0tzcnH788UclEokRne3wENT4h2ma2t3d1enpqZ4+fTqSPkY3/bx+K2WCUFHTr+t6EHSOb93f31e73VYikegKb5LJJBeKwITQo2Y6WJbF/fSBeDyupaUlLS0tecc6m+WfnZ15jYs7X3fG1bj4wyqoj40N/3f/7t/pn/7TfzrSc8J4EdQAGBq3gsYNaAYtx7y4uNDm5qbi8bi+/fbboWxRGZdIJEJQM2G2bXuNgj/77LM7NQoeB4Kam/V6F9RxnK6+N8fHx2o0GopGo119byZRwg4EEVufpkNQtj7dVWezfNeHrzu9Ghdns1llMpmhVn6bptnXz+ONitlFUAPgzmzblmma3tSjQQOaarWqfD4vy7L07NmzrnfVp0U4HA7s1KdJcxxHp6en2tra0srKijY2Nny9Tc5FUDO4UCikZDKpZDKplZUV73i73fb63rgl7G7Q09n3hgsVYLgIaqYD99PtXfe6Y5qmV31TKpVUrVZlWZZSqVRX9U0ikbhVmGKa5sCvWYQ2s8X/K1kAvuWO2t7c3NRnn32mWCw20ItEo9HQ1taWqtWq1tbWuspPpw1bnybDrcJKJBL64YcflEwmJ31KfSOoGZ5YLHalhN2yLK//QKlUkmEYchznSt+bSfQfAGYFPWqmAxU1wxeNRjU/P9/V/85xHNXr9SuNizurPt3qm48FZ5Zl9b31n8fhbCKoATAwN6AxTVPS+4vlQV4k2u22dnZ2VC6X9dVXX+nly5dT/wJDUCOvafQ41Ot15fN5NZvNqa3CIqgZrUgkcmURbdu21/emXC5rb29PpmkqmUyq0Wjo7OxMc3Nz9L0B+kSPmulAUDMeoVBI6XRa6XRa9+7d8453Vn1+OO2wc/tUZ8P8QSpqDMNQNpsd7o3BxBHUAOhbr1HboVBIkUikr20/lmVpf39fR0dH+vzzz7W2tjYzC7ygX9S5QdWoF4KdId/a2ppWVlam9ndPUDN+4XDYWxA/ePBA0vvntUajoZ9//tnre9M5utWtvEmn01P7twaMEo8L/2Pr02T1qvp03zioVCoql8sqFApdDfMrlYpyuVxfb4JdXl529dXBbCCoAfBRvQKazhf8jwU1tm3r6OhIhUJBjx490sbGBu/szJhRhw62bevg4ECHh4f67LPPZirkw2SFQiGlUinFYjE9efLEe25qtVreO6BnZ2eq1+sKhUJdTYszmQzPZQB8z7KsrmoNTF7nGwcux3G8155yuaxSqaRCodD1tW7lTefAjUqlMpWVxbgZQQ2Aa7kj/9rtds+AxnVdUOM4jk5OTrSzs6OVlRW9fv2afhAzalRbvxzH0du3b7W9va179+7pzZs3U9EouB9U1PhbPB7X8vKylpeXvWNu88hKpaJisahqtSrHcbzydTfE4XkOQcFz2HQYR8Ur7i4UCimRSCiRSOjo6Ejr6+tKJpNdPddOTk70r//1v9bOzo4++eQTvXz5Uqurq4pEIgNvQf9n/+yf6b/9t/+me/fu6Xe/+92VzzuOo3/1r/6V/vRP/1TpdFr/8T/+R/3www/DvMm4wWysdgEMleM4chyna9T2TdULvUZTl8tlbW1tKZvNTl2TVwxuFEHNu3fvtLm5qXQ6PZN/QwQ106dX80jbtr3JH6enp9rd3ZVpml2TP3K5nOLxOFtEAEyEZVlUoU6ZzvHcH/Zc+y//5b/Isiz97d/+rf7yL/9Sf/Znf6b//b//t/7gD/5ACwsL+vbbb/X999/ru+++08uXL69dP/2Tf/JP9C//5b/UH//xH/f8/H//7/9d+Xxe+Xxev/3tb/Uv/sW/0G9/+9vR3GBcQVADoItbQeMGNP2M2u6sqLm8vNTm5qai0ah+85vfKJPJjOO0MWHhcHhooUOtVtPm5qYsy9KLFy+mbt91vxfjoVAo8A2oZ0E4HPbCmIcPH0q6Ovnj8PBQrVZL8Xi8K7xJpVKEN5hq/P1OB5oJT5+P3WeRSEQvX77Uy5cvlc1m9c033+jf/Jt/o19//VV//dd/rZ9//ll/8id/ot/97neyLEvPnz/X3//7f1//4B/8A+9n/J2/83e0t7d37b/xX//rf9Uf//EfKxQKaWNjQ+/evVOpVPJe6zBaBDUAJL0PaEzT9AKXfgIaVzgcVq1W088//6xWq6X19fWud5wx+4YROrRaLe3s7Oj8/NxrFDzLqKiZXddN/mg2mzIMQ5VKRW/fvlW9XlckErnS94Z3vgEME82Ep88g25jcxsOStLS0pD/6oz/SH/3RH3mfb7fb+uWXX9RqtQY6h2KxqE8//dT7/48fP1axWCSoGROCGiDgPhy1PUhAI72/8Dg9PVWj0dDLly9n/uL6Jm5YEcTF0F0qamzb1v7+vorFor744gs9e/aMd2kxk9zeAx/2vblubKtbeZPNZmemN9MgCDKB4aCiZrZdXl7eGJ7EYjH95je/Gfjn9noOZn02PsF71Qcg6e4BjWma2t3d1enpqebn53X//v1AhzTS7/u0BDGouU1FjeM4Oj4+1s7Ojh48eBC4aWBU1EB63/dmcXFRi4uL3jHbtrsaR25vb8uyLKXT6St9b4BJ4flretBMeLYZhjGSbeKPHz/WwcGB9/8PDw/16NGjof876I2gBggYd9R2u92WNHhA01n98Omnn2pjY0MnJydqNBqjOuWpMarJR9Ng0Nt+fn6uzc1N5XI5/eEf/qESicQIz250ritN7qdkmaAG1wmHw5qbm+sat+o4jmq1mgzD0Pn5ufb399Vut5VIJLrCm2QyOTPveA46wQTjFdQ3JqYRzYSni9snsl+VSmUkLQf+3t/7e/r3//7f6x/+w3+o3/72t5qfn2fb0xgR1AAB4QY0pml6i99BXgQcx9HR0ZH29vauVD9cN547aIIc1PQbOlSrVW1ubspxHK8B3rRyb/NtLyQJajCIUCikTCajTCaj+/fvS3r/vNzZ9+b4+FiNRkPRaLQrvEmn01N5kUZQ42+DXkxictj6NF0syxpou2ulUukK9vv1j/7RP9Kf/dmf6ezsTI8fP9a//bf/1nsj95//83+uv/t3/67+9E//VE+fPlU6ndZ/+A//YeB/A7dHUAPMOMdxvElO7qJ3kAW74zg6PT3V9va2lpaW9OrVqyvl9uFwmKBGwQ5qPnbbW62Wtra2dHl5qfX1dS0tLY3x7EbjrpOuCGpwV6FQSMlkUslksmvrabvd9vreFAoF1Wo1L+jp7Hvj9ws3ghp/cxxnKgPAIKL6abqYpjnQ8/Pl5eWtgpr/9J/+042fD4VC+pM/+ZOBfy6Gg6AGmFGO48hxnK5R24O+SLvbUzKZjP7gD/5AyWSy59dRUfNeJBIhqPmAZVkqFAoqlUp68uSJXrx4MTMXXncNWghqMCqxWExLS0tdgahlWapWq6pUKiqVSjIMQ47jXOl7E4vFJnjm3Xh8+BsX/9NlVl57g2DQiprLy0umrc4gghpgBrkVNG5AM+g2p0qlos3NTYXD4b62pwQ5oOgU5MqiD0MHx3FUKpW0u7urR48ezWSjYIIWTJNIJHKl741t217fm3K5rL29PZmmqWQy6YU32Wx2on1vuLj0L4IaYDQG3ao2qh41mCyCGmCG2LYt0zS9sGDQgKZeryufz6vRaGh9fV0LCwt9fR8VNe+x9en9bS+Xy8rn85qfn++5VW5WXBfU9PuYI+jBpIXDYWWzWWWzWT148EDS+5C10Wh4fW+Ojo7UbDYVi8Wu9L0ZdYjC1id/4/4BRsM0zYEqahqNxrVV75heBDXADLjrqO1Wq6Xt7W29e/dOT58+1crKykDfT1DzXtCDmnq9rr/8y79UOBzWN998o0wmM+nTGqnbjCT/8PsJauA3oVBIqVRKqVRKq6ur3vFWq+WFN2dnZ6rX611BTy6XUyaTGWrlHEGAv1FRA4zGID1q3HUEj8XZQ1ADTLG7BjSmaWpvb08nJyd68uSJnj9/fqtFcZC3/HQKalDTbDZ1cnKiVqulb775RouLi5M+pbGgRw2CJB6PX+l7Y5qm1/emWCyqWq16fW86mxbftu8NQY2/EdRMB15nps+gPWoktonOIoIaYArdNaCxbVsHBwc6PDzU48eP9dNPP91psUVFzXtB69VjWZYX9Lm9L4IS0kgENUA0GtX8/HxXbwTbtlWtVmUYhk5PT7W7uyvTNJVKpbq2TsXj8Y++bhHU+BtBzXTgfpo+pmn2HXCzjphdBDXAFHEcR5ZlyTRNbwE7yCK2s8Hr/fv39ebNm4ET+16CWknyoaBUFjmOo2KxqEKhoE8++UQbGxsqFouBWywMI6gBZk04HPbCmIcPH0p6/5xRr9dlGIYuLi5ULBbVbDYVj8e7wptUKtX1uCCo8Tfun+kwaGNaTJ5lWUqlUn19ba1Wm/mt5kFFUANMgV4BzSDvjjiOo7OzM21tbWlhYWHoDV5ZqL0XhMDq7OxM+XxeS0tLev36tfeOTzgcVrvdnvDZjRcVNUB/QqGQ0um00um07t275x1vNpte35u3b9+qXq8rEol4W6aG8UYCRodKjelg2zZBzZQZpJnw5eWlcrnciM8Ik8ArIOBjjuPIcZyuUduDLorevXunfD6vRCKh7777Tul0ekRni1kOaiqVin755RfFYrGef0fhcDhwocMwgpag/c6ATolEQolEQsvLy94x0zRVqVRkGIbOzs707t07/cVf/IUymUxX3xtCnMkjqJkOlmVxP02ZQaqgGM09u3iVA3zKtu2ugGbQbU6GYSifz8u2bT1//py0fQxmsaqk0Wgon8+rXq/r2bNn1y4G7joBaRpRUQMMXzQa1eLiovexv7+v58+fyzAMGYahk5MTbW9vy7IspdPpK31vMD4ENdOBiprpM0hFTaVSYY0/owhqAJ+xbVumaXq9TgYNaBqNhra2tlStVrW+vh6o5q6TFolE1Gw2J30aQ2GapnZ3d3V6eqqnT59qdXX1xr/DWa4mug5BDTBanVt93YblnZ+r1WoyDEPn5+fa399Xu91WIpHoCm+SySTbc0eEHjXTgYqa6TNIRc3l5WXXcyNmB0EN4BN3neTUarW0u7urcrnc14X1KAR90TYLzYRt2/YaBX/22Wfa2Njoa4EXxNDhutvc72MgiL8zYBA3vaaEQiFlMhllMhndv3/f+/rOvjfHx8dqNBqKRqNd4U06nebCdQioqJkONBOePoP2qCGomU0ENcCE3TWgsSxLhUJBpVJJX3zxhdbX1ycSlrijqYO8GJjmqhLHcXR6eqqtrS2trKxoY2NjoB4Q03zbb4uKGmC0Bg3/Q6GQksmkksmkVlZWvOPtdtvre1MoFFSr1bygp7PvTZBfv27Dtm16BU0BArXpM0gVVKVSIaiZUTy7AhNy14DGrXzY39/3RiRPcpHpVpMEeaE7rWHFxcWFNjc3lUgk9MMPPyiZTA78M6b1tt8FQQswWsOq0ozFYlpaWtLS0pJ3zLIsVatVVSoVlUolGYYhx3G6+t5ks1n63twg6FW00yLoa7Np1e9j6/LysiuYxuwgqAHGrNeo7UEWOo7j6OTkRDs7O1pdXe0akTxJkUhk6rf93NW0hRX1el35fF7NZlPPnj270zsyQQwtqKgBRmuUQUAkErnS98a2ba/vTblc1t7enkzTVDKZ7Apv6HvzHpUa04GgZrYZhqEvv/xy0qeBESCoAcakV0Az6AKnXC4rn89rbm5OP/74oxKJxIjOdnAENb/f/uV37XZbOzs7KpfLWltb08rKyp0vOqYtpBoGghpgtMb9+AiHw8pms8pms3rw4IF3Do1Gw+t7c3R0pGazqVgsdqXvTdDCG4Ka6cAWteky6PMePWpmF49aYMQcx/EmObmjtgdd2FxcXCifzysWi+nbb79VOp0e0dne3rSEFKMUCoV8HVbZtq2DgwMdHh7qs88+09ra2tAW2eFwOHChw11vM0EN8HGTDj9CoZBSqZRSqZRWV1e9461Wywtvzs7OVK/Xu4KeXC6nTCYz05UMBDXTwbIsX72xh5sN+riiR83sIqgBRsi2bbXbbS+gGXSbU7VaVT6fl2maWl9f9/UTMRU1/g2rHMfR27dvtb29rXv37unNmzdDf3ctFAr58raPEhU1wGj5uQdKPB6/0vfGNE2v702xWFS1WvX63nQ2LfbDduVh8PP9g99j69N0sSxroDUaQc3sIqgBRsCtoHGDi0EDmkajoe3tbVUqFa2trWl5eXlUpzo0szCa+q78uP3n3bt32tzcVDqdvnWj4H4EsaKGoAYYrWkLAqLRqObn5zU/P+8ds21b1WpVhmHo9PRUu7u7Mk1TqVSqa+tUPB6fqtsqUVEzLbifpssgo7ml90FN53MOZgdBDTBEd53k1G63tbu7q7OzM3355Zf6+uuvp2bhRkWNv4KaWq2mzc1NWZalFy9eKJfLjfTfo6Lm6uf6+X4A15u2oKaXcDjshTEPHz6U9P521et1GYahi4sLFYtFNZtNxePxrvAmlUr5+vYTAEwHKmqmy6D3F0HN7CKoAYbgrgGNZVna39/X0dGRPvvsM21sbEzd4oegxh9bn1qtlnZ2dnR+fq719fWxVWP5KaQal2GEU1TUANebhaCml1AopHQ6rXQ6rXv37nnHm82m1/fm7du3qtfrikQiXeFNJpPxzfrA3dYNf7Ntm6BmigxaUVOr1ZTJZEZ4RpgUghrgDu4a0Ni2raOjIxUKBT18+FAbGxtT+2Lqh5Bi0iZZVWLbtgqFgo6OjvTFF1/o2bNnY11ABzWoYesTMDpBe3wkEgklEomugN00TVUqFRmGoYODA1WrVUlSJpPp6nsziak+juP4JjTC9SzL4n6aIrepgOL+nU0ENcAtuOM62+22YrHYwAFNZ3PX5eVlvX79euqbC0YiES+wCqpJvLPoOI6Oj4+1s7OjBw8eTCzsC2LocNNt7qcSIIi/M2AQs1pRM4hoNKrFxUUtLi56x9y+N5VKRScnJ9re3pZlWUqn01f63owSW5+mA1ufpssgFTWsIWYbQQ0wAMdxZFmWTNNUqVRSs9nUl19+OdDP+PXXX5XP55XJZEba3HXcIpGIms3mpE8jUM7Pz7W5ualcLqc//MM/nOj4TSpquo/326OGRRZws6AHNb109r1xOY6jWq0mwzB0fn6u/f19tdttJRIJL7zJZrND7XtDUDMduJ+myyDBmruG4HlyNhHUAH1wHMeb5OTuyY7FYqrVan3/jEqlos3NTYXDYb18+VLZbHaEZzx+TH0an2q1qs3NTTmO45u/pSAuEoax9QnA9aio6V8oFFImk1Emk9H9+/clvf/9dfa9OT4+VqPRUDQa7aq8SafTt7qQp0fNdKCiZrqYptn3m7iNRmNm3vDFVQQ1wEfYtq12u+0tSNyPfpvn1mo1bW1tqdlsan19fWY7s9NMePRarZa2trZ0eXmp9fV1LS0tTfqUAi2Ik66AcSKouZtQKKRkMqlkMqmVlRXveLvd9sKbQqGgWq3mBT2dfW8+dnFPj5rpweNoegwSrF1eXo58qicmh6AGuEZnQCNd3c4QjUZvDCaazaa2t7d1cXGhtbU1LS8vz/QLJc2ER8eyLBUKBZVKJT158kQvXryY6b+lacHWJWC0CGpGIxaLXel7Y1mW1/emVCrJMAw5jtPV9yabzXb1vWFLDTB8g/SoqVQqmpubG/EZYVIIaoAP9DvJ6brmuaZpand3V6enp4G6qKaiZvgcx1GpVNLu7q4ePXo01VPBZhFBDTBaVGyMTyQS0dzcXNdFn23bXt+bcrmsvb09b1tGNptVu932tl4EYZ0DjINpmn2v9QhqZhtBDfD/DTpq+8OKGtu2tb+/r2KxqE8//VQbGxuBWmDSo+Y9dzvMXe/7crmsfD6v+fl5vXr1auTTOzA4ghpgtHh8TVY4HFY2m1U2m9WDBw8k/X7qpWEYOjo6Uj6fV6PRUCwWu9L3hvAGGJxlWX1X1LD1abYR1CDwBg1oXG5FjeM4Ojo60t7enh48eKA3b970/QQ7S6ioec+dfnTboMYwDP3yyy+KRCL69ttvlU6nh3yGGBaCGmD0uNj3l1AopFQqpVQqpb29PX377beS3vdQc/venJ2dqV6vdwU9uVxOmUyGqtAx4zVq+lBRA1fwriaB/69z1La7D36QBWE4HFaj0dCf//mfa3FxMfBVDwQ17912THWz2dTW1pYMw9D6+npX7wD4UzgcZhEMjBA9aqZHPB7X0tJSV5N70zS9vjfFYlHVatXre9PZtDgWi03wzGcbfYSmz6AVNQQ1s4ugBoHTK6AZ9EXs/Pxc+Xxe7XZbr169UiqVGtHZTg+CmvcGDWosy9Le3p6Oj4/11Vdf6euvv+bCZIoQ1ACjQ1Az3aLRqObn57umXdq2rWq1KsMwdHp6qt3dXZmmqVQq1bV1Kh6Pc98PAUHN9BnkPqOiZrYR1CAwHMeRbdsyTdMbtT3oi5dhGNrc3JQkvXjxQv/n//wfQpr/j20g7/UbWDmOaZkzXQAAIABJREFUo2KxqEKhoE8++UQ//fTTTCymgnRhxd88MFpBej4JinA47IUxDx8+lPT+fq7X6zIMQxcXFyoWi2o2m4rH413hTSqV4u9hQIOMesb0qVQq+vTTTyd9GhgRghrMPMdx5DiON2r7NgFNvV7X1taW6vW61tbW2JbSA4un9/qpqDk7O1M+n9fS0pJev349M2XfbnARlL8Ftj4BoxWk55MgC4VCSqfTSqfTunfvnne82Wx6fW/evn2rer2uSCTSFd5kMpmZeJNjVAhqZhsVNbONoAYzzbbtroBm0D40rVZLOzs7Oj8/11dffaXV1VUWjbjRTUFNpVLRL7/8olgspu+++27mGgUHLbhwJ3wBGA2CGv8ax3N9IpFQIpHQ8vKyd8w0TVUqFRmGoYODA1WrVUlSJpPp6nsTxKEOvbD1aboM+pxHUDPbeBbDTHK3OLlbUAYNaEzTVKFQ0PHxsZ48eaJnz571/P5hjWLG7OgV1DQaDeXzedXrdT179qxrv/4scR8PQXn3jgtIYLQIavzLfQNs3KLRqBYXF7sqm92+N5VKRScnJ9re3pZlWUqn01f63gQNFTXTZdD7i6BmthHUYKbcdtS2y7ZtHR4e6uDgoK++IdFoVKZpBvLFH711BjWmaWp3d1enp6d6+vTpzFdk3Xbi1bSiRw0wWjy+/MtxHN+8SdXZ98blOI5qtZoMw9D5+bn29/fVarWUTCa98Cabzc5835sgvXkyCwYNai4vL2f2zT8Q1GBG3DWgcRxHx8fH2t3d1erqqt68edNX2Ww0GmXSUYeg9SjpJRKJyDRNHRwcaH9/X59++qk2NjZ8s6AdpaAFF2x9AkYvyK8nfub3auJQKKRMJqNMJqP79+9Ler/W6+x7c3x8rEajoWg02lV5k06nfX3bBmFZ1szcliAwTXOgbXuVSoWgZoYR1GCq9Rq1PWhAUy6Xlc/ntbCwoB9//FGJRKLv72ckdbdwOCzLsgK7N9ydXHF0dKSHDx/2HfjNCipqAAxT0IN/P/N7UNNLKBRSMplUMpnUysqKd7zdbnvhTaFQUK1W84Kezr4301iZwtan6TLo/WUYhrLZ7AjPCJMUnCsIzJReAc2gC4aLiwttbm4qkUjcurGrWz2B99zgKkjhhMv9e2q32/r888/1xRdfTPqUxo6gBsAwEdT416R61IxCLBa70vfGsiyv702pVJJhGLJtW+l0uiu88fvW92kM1IJs0Ioax3EI4mZY8K6mMNUcx/EmOd02oDEMQ/l8XrZt69mzZ3dqwsXWp25BrDCq1+vK5/NqNpt69uyZzs/PA/uiGbTgYli3l4tRoDceG/7lpx41oxCJRDQ3N9e1RrRt2+t7Uy6XVSgU1G63r/S9SSaTvvm7DeqbZ9NqkIqaIK23gopHLqaC4zhyHKdr1PagC4RGo6GtrS1Vq1Wtra1paWnpzudFRU23SCQSmIqKdrutnZ0d/frrr3r69KlWVlYUCoV0cXERmN/Bh6io6f7cID/DL4t6wE94bPhXECs1wuGwstmsstmsHjx4IOn932ij0fC2TpVKJTUaDcVisSt9bybxt2xZ1kBb+jFZg1bUSPTxmmUENfA9t4LGDWgG7UPjXlCXy2V99dVXevny5dCe1IJYQXITt0fNLLNtWwcHBzo8PNTnn3+u9fX1rr+nSCSiZrM5wTOcnHA4HKh3eHoFNY7j6OjoSIVCQalUyluk53K5nouvoFUhAYMgqPGvIAY1vYRCIaVSKaVSKa2urnrHW62WF96cnZ2pXq93BT25XE6ZTGbkFbjcT9NlkIqaZrPp+613uBuCGviWbdsyTdO78B80oLEsS4VCQaVSqecF9TC447nx3iwHV47j6O3bt9re3ta9e/eubRQctKqSTkGbgvRhyHJ+fq5ffvlF8/Pz+vbbb9VqtVSpVHR6eqqdnR1ZlnWlOSWA6xFi+hch2s3i8biWlpa6qrdN0/T63hSLRVWrVTmOc6XvTSwWG9p50Ex4upim2XfPzEql0jWSHrOHoAa+c9dR27Ztq1gsan9/X48ePdLGxsbIXqSCXD3Ry6wGNe/evdPm5qbS6bR++OEHJZPJa782yEFN0G67G9TU63Vtbm7KNE395je/USaTUavVUjweVzab1cOHDyW9f26r1Wq6vLzU6empdnd3ZRiG/u///b+an5/3FurDXKQD044wwJ+o1BhcNBrV/Px81zhlt++NG+rv7u7KNE2lUqmurVPxePxWjwXbtglqpohpmn3fX4zmnn0ENfCNuwY0juPo5OREOzs7WllZ0evXr0d+wRONRlWr1Ub6b0yTWQtqarWaNjc3ZVmWXrx40dc7F0ELKzoFbRuPbdsyDEP/63/9L62trXll7zf1rclkMspkMl5481d/9Vf6/PPPVa/XVS6Xtbe35y3SO7dNUd6MIKJqw78IaoajcztUZ6hfr9dlGIYuLi5ULBa9bS6dTYv76XtjWRb30xQZpPnz5eXlnQaiwP8IajBxvUZtD7owK5fLyufzyuVyH614GCaaCXeblWbCrVZLOzs7Oj8/1/r6upaXl/v+3iAHNUG57W4fmt3dXYXDYW1sbNx6IRwOh5VKpTQ/P9/VnLJer6tSqej8/Fz7+/veZJHO8IYGkZh1BDX+NUvjuf0mFAopnU4rnU7r3r173vFms+n1vXn79q3q9boikUhX5U0mk+l6PWLr03QZpKLm8vKSrU8zjqAGE9MroBn0Yufy8lKbm5uKRqP65ptvlMlkRnS2vTGeu9u0NxO2bVuFQkFHR0f64osv9OzZs4EXorNWVTSIIDQT7uxD8+OP/4+9O4mNIz3vBv6vruru6uqFq0hK1DZaSIkaazQayZIS5BTgczyHQYAAgS9BDMMOEMzBh+Tgk2EYAWIgiHOIkYsRJEEA2wiQg4EcjDgBcjHsmcCeOF5EdjeXZjd30i1W9VZd23dgqtQlNptd7O2tqucHDGC3KLF6q3rffz3v876HX/ziF6fOW3bY3M0ks10VUusgfXZ2FsDrnUUURcHx8TFKpRKazSbi8fip8IYmTyQoKKhhV9C352ZRPB5HPB533TzSdd0Jb4rFIqrVKgA4/dBUVQ3FDZSg8FJRoygKVdQEHAU1ZOgsy3J2crpoQFOr1ZDL5aBpGu7evTuyNZpUUePG8zw0TRv1YXhmWRZ2d3extraGubm5nvoahaWqpJ0gNxN+sw9NKpVyQuZeeNnG295ZxL7DalkWVFWFoihQFAXb29tOeXxreCOKIk12iS9RUMMuWvrEBkEQMD4+jvHxcecx0zSdpsWNRgMvX76EaZqQJMm1dIqqMtnjZXtuWvoUfBTUkKGxLAuWZbm22vZ6kVdVFaurq5BlGXfv3vW0JGUQwlw90Q7P82g0GqM+DE/K5TKy2SzS6TSePHnS88AlzEFNEJ+7rutYX1/HwcGBqw8N0L8Koov+GxzHQRRFiKLoOq7W8GZ3dxeNRgPRaBTpdBqZTAapVAqJRIImwIR5FNSwi4IadkUiESeo397exuPHj8FxHGq1GiqVimtJbTwed4U3dG0YLS9L1aiiJvgoqCFDYVfQ2AGN1z40rZOlW7du4f79+0xcSGjpk5ufetRUq1Vks1lYloUHDx70bavkIIYV3QpSM2G7D83GxgauXr3atg9NP57vIF4zuzx+enraeczeKlyWZezt7aFer0MQBCe4yWQyNEAnTKLPJJto6ZM/tL5PdjP71iW1rX1vWq8NrX1vJEmi93pIvITTiqI4ve1IMFFQQwbKNE3ouu6EGV4DGsMwUCwWsbW1hevXr/fUtHMQaOmTmx8qjJrNJvL5PGRZxsLCAiYnJ/v674c5qPF7jyJbax+a83aPYzGoaScWi2FqaspVhWiHN/a2sPYAvXXZVDe7ihAyKEEJfoPINM2ul2gQNrVWZbYG+5qmOeFNoVBArVZzdi20rw2pVIqaFI8YVdQEH51hyUD0Y6vtra0tFAoFXL58uaeeIYMUhuapXrAc1BiGgUKhgJ2dHbz11lsDq8pi+TUYtEgk4sseRbZ2fWg66cfnZ5RVSO3CG03TnPDm8PAQtVoNPM+fCm9YCsxJcNHSJ3bR0qfgikajmJiYwMTEhPOYYRhO35udnR1UKhWn701reBOLxUZ45P7n5XxHQU3wUVBD+qofAc3BwQHy+Tympqbw9OlTOun7CIsVFZZlYWdnB+vr67hy5crAQ78wV9T4delTpz40g8baaxaNRjE5OemqNNN13Qlv7LurkUik45awhPQDBTXsoqAmXHieRyaTcQUDpmk6fW+Ojo5QKBSgaRpEUXT1vaGG9t3xOnakoCb4KKghfdFrQAO8buqaTCbx+PFjiKI4iEMlA8RaNcnR0RFyuRzGxsaGFvqxNvEeJr+FVN30oRk0P3xeBEE4dXe13ZawHMe5wptUKkUTOdITCmrYRe8N+wZ9bbED+1Qq5fRKsSwLjUbDuT7s7Ow4De1brw+JRIKuD2/wsjU3cBLUjGrXWzIcFNSQnliWBcMwnG1qLxLQKIqCbDaLSCTS16auZPhYaSZcqVSwsrICnufx8OFDSJI0tN8d5oGrn5YCeulDQ05rtyWsYRjO4HxrawuVSoX6GpCeUBjALqqoYd8ovj8cxyGRSCCRSLiqU5vNpnN9sJfVtqvMDPP1Qdd1T8+fKmqCj4IaciHtAhqvF+x6vY5cLgdVVXH37l3XgN9POI6jAcv/GXVFjaqqyOfzqFQqWFhYcFUAkMGzvwss89qH5qK6rZTxQ0VNt3iex9jYmOsOX7u+BpZlOeGNvetUmAfn5GxB+W4EEY172Odlq+dBi8VibZfV2teHra0tVKtVWJZ1qu9NWG6kUEUNeRMFNcQTy7JgWZZrq22vF+pms4nV1VW8evUKd+7cwfT0tK/vmNlbdNOAZXQ9anRdx8bGBvb29nD79m0sLS35+jPlVywvfRplH5pOghTUtHNWXwN7cL67uwtFUVzhjT04px1lCBDuKkWWUVDDPtM0mQlq2hEE4VS4b/e9sXcjXF9fh67rSCQSruqbWCwWuHOD12CNdl4LPnp3SddM03QFNF6XObVOpt966y3cu3cvECdZe4vusCT+nQx76Uvr7mDz8/N48eIFDRxHiMXQgYU+NJ2w+JoNWiQScQbbttbwZm9vD6urqzAMwxXepNNpGpSGUBDGCUFEy9LY58ebiK19by5fvgzg5LNWr9dRqVRwfHyMra0tqKqKaDTqCvclSfL1Z1LX9a6vcWEbN4QVjXjIuUzTRKPRQKlUwrVr1zwHNKZpolgsolQq4erVq4GbTNsVNWS4Dg8PkcvlMDk5ST1GGMFaRY0f+tCEMahp56zwpvXO6traGgzDcJXFp9NpJt9XQoKOKmrYx9LSp15wHAdJkiBJEmZmZpzHVVV1+t7s7++jXq+D53nf7kh4kffLz8EUOR8FNeRMrTs5GYaB3d1d3Lhxw9Pft7dFnp2dxbNnzwJ5N9SuqCHDoSgKVlZWEI1G8c477wy1UbAXYbzbyEpQM6w+NP1AQc3Zzrqzaoc3R0dH2NjYcMriW8ObYezwRkiYUVDDPtaXPvUqHo8jHo9jamrKeazdjoQAfLG01ktFjaZpgX5vyQn2PqVk5NpttR2NRruuGrEsC4eHh8jn8xgfHx/atsijMuoGumHRaDSQy+VQr9exuLjIdAM1e/IdtqBm1KEDq31oSP/Yu0glk0nXdrD1eh2KoqBcLmNzcxOapkEURVd4E4/HR3z0hARHGK9xfuPHpU+9arcj4VlLa1sD/lQqNfJrhJc2CoqiuCpQSTBRUEMc7QIarxfhV69eIZvNQhRFPHr0CIlEYhCHyhRa+jRYrZPvO3fu4NKlS8wPDu3KkrANkEZVUcN6H5pORh1uBUFrWfzs7CyAk89Eo9GAoig4Pj5GqVRCs9lEPB53BuaZTCaQDSkJGYYwXuP8JugVNd1qt7TWrs6sVCool8soFovONcJeOpVKpZBIJIZ2jbDDo27Iskxbc4cABTXExTCMCwU0lUoFuVwOlmXh/v37oUp5aemTW7+2KzdNE6VSCcViEdeuXfPV5JvneSaWAA3bsJtJA/7oQ9MJBTWDwXEcEokEEomE09PAsiyoqgpFUaAoCra3t6GqqjMw1zQNjUbD9w0pCRkGCmrYF8aKmm61Vme2BvzNZtO5Ruzt7aFer0MQBFffG0mSBvK66rredbBGFTXhQEENcXQT0LxZ6lqv17G6uopqtYqFhQVMTEwM+jCZQxU1bnZIcdGLmGVZODg4QD6fx/T0tC97G41qm/JRs0O6YfBTH5pOKKgZHo7jIIoiRFF0lsW1Dsx3d3eRz+ed3UQymYwzMBdFkcIbQlpQUMO+oDQTHhaO45y+N9PT087jmqY5fW8KhQJqtZoT9LQuner1tTYMo+vxLlXUhIO/Zj9k4DpNGuxeLIIgoNlsYm1tDb/5zW98sxxlUHieh6qqoz4MZrR+Trw6Pj5GNptFPB7H48ePIYriAI5w8Fhpqjtsw6ioYbEPTbteDd2eDymoGa3WgXmhUMDbb7/tnNPtu6q7u7toNBqurWDT6fRQS+IJYRF9/tlGS5/6IxqNYmJiwnUz2jAMp+/Nzs4OKpUKTNN07UqYSqU89ej00kxYURQKakKAghrSNUEQoKoqCoUCdnd3cfPmTSwuLob+Qi0IAmq12qgPgxkXaa5cr9eRy+WgqioWFxd9f/EJa1AzyIoaVvvQhLVxdNC1u6vaWhJvbwUrCIIrvKFlU4QQVhiG4bvlwH7B8zwymYxrvGqaptPY/ujoCIVCwWls39r35qwKTS8VUBTUhAMFNcTlrLu7pmlCVVX89Kc/xfXr1/HixQsmJkksoB41bl6W/WiahrW1NRwdHeHu3buYnp4OxCQnrEHNoJ43y31oeq0iCutnxY9isRimpqZcW8FqmuaEN4eHh6jVauB5/lR4Q9dLQsiw0dKn4YpEIm13JWw0Gs7SqZ2dHadCszW8kSTJU0UNLX0KBwpqSEeWZWF3dxfr6+sAgKWlJdcdRkLbc7+pm9fDNE0Ui0WUSiXcuHEDCwsLgQhobGFtJtzvZTx+6ENDS5fCLRqNYnJyEpOTk85juq474Y3dzyASibiaUSaTSQpvCCEDRX2ERq+1sX3rUu1ms+mEN3bIX6vVkMvlXNeJs4K2SqWCmzdvDulZkFGhoIac6fDwEPl8HplMBu+99x42NjZGfUhMombCbp2CGsuysL+/j9XVVczMzPiyUXA3wtxMuB9Y7ENzlk5BTTdLoijoCR5BEE71M9B13RmUF4tFVKtVcBznCm9SqRRNqgghfUMVNeyKxWKnQv6PPvoIly9fhqIo2NraQrVahWVZEAQB//Zv/4bHjx/j05/+NC5dukRLn0IieDMk0hOO45yGrrFYDA8fPoQkSQBOBp+0xOc0WvrkdlY1yatXr5DNZiFJkq8bBXeDlrNcDKt9aDrpNWihoCYcBEHA+Pg4xsfHnccMw3DCm62tLVQqFWcnEXvHqU53VAkhpBMKavyF4ziMjY1hbGzMecw0TRwdHWFychLf//738Y1vfAOVSgXJZBKHh4fgeR6PHj3C/Px8VzfLfvCDH+DLX/4yDMPAF7/4RXzlK19x/fnm5ib++I//GK9evYJhGPjGN76B999/v+/PlXSHghrisr6+jv39/bYNXSmoaY8qatzerKip1WrIZrMwDAP3799HOp0e4dENBwU13rHch6aTXhsoU1ATXjzPnxqU2zuJyLLsuqP6ZuUNTb4IIeehpU/+cdY4IBKJ4NKlS/jwww+dxwzDwJe+9CUsLi7ixz/+Mf7u7/4OW1tbmJ2dxbvvvuv8d/fuXdf7bxgGPvzwQ/zwhz/E1atX8fTpU3zwwQdYWlpyfuYv/uIv8Id/+If40z/9U/z617/G+++/TysqRoiCGuJy/fp1XL9+ve2fCYIATdOGfETso4oaN3vZj72Fe7lcxsLCgqsBZ9BRUNM9P/Sh6aQfFTX0WSG2s3YSaW1EWalUYFkWksmkK7wJ2jJSCjDZRe+NP1BFjX94CdV4noeqqviDP/gD3Llzx3l8d3cXn3zyCT755BP867/+K/L5PP7hH/4Bjx49AgB8/PHHuHPnDm7dugUA+NznPofvf//7rqCG4zjIsgwAOD4+xpUrV/r1FMkFBOuqTnrWqWpGEATU6/UhHxH7et31JWg4jsP+/j42NjZCu4V7WJsJe+GnPjSdUEUMGbRIJNI2vKlWq1AUBXt7e1hdXYVhGK7wJp1OBy68IWzopv8WGT3TNCmo8QnDMDydr9v1qJmbm8NnP/tZfPazn237d7a2tnDt2jXn/1+9ehUfffSR62e+9rWv4f/9v/+Hv/3bv0W1WsV//Md/eHgWpN/oCk66RkufSCetO4SlUik8f/48tAOEsDYT7oYf+9B0clZQ0+0khoIechGRSMQJY2ymaaJWq0FRFBwcHGBtbQ2GYUCSJFd445dlhRQGsIuW1PiDYRj0PvmEruuexswXaSbczVjlu9/9Lj7/+c/jz/7sz/DjH/8Yf/RHf4Rf/vKX9DkaEQpqiEunQREFNeQs5XIZ2WwW6XQad+7cgaqqoQ1pgJNJFC0TPM2vfWg6oWbChBX2FuCpVAqXL18GcDIwt8Obo6MjbGxsQNd1JBIJV3gTi8VGfPSnUVDDLtM06b3xAcuyaILtE14rajRNQzwe9/Q7rl69imKx6Pz/Uql0amnT3//93+MHP/gBAODFixdoNBo4PDzEzMyMp99F+oOCGtI1CmrIm6rVKrLZLCzLwoMHD5BKpXBwcIBarTbqQxsp6lHjVq/XsbKyAsMwfNmHphMKagjL7F2kkskk5ubmAJxM3ur1OhRFQblcxubmJjRNgyiKTnCTyWRGHt5QUMMuCgAI6S9d17sOai46Znj69ClyuRzW19cxPz+P733ve/jOd77j+pnr16/jP//zP/H5z38eL1++RKPR8O3S9CCgoIZ0jYKas9kNQcMycGk2m8jn85BlGQsLC5icnHT+7M1dn8Io7EGNPcEKSh+aTiioIX7DcRwkSYIkSZidnQVw8p1tNBpQFAXHx8coFotOeJNKpZztwmOx2NDCE/pesCtM4x1ChuEijZ+9nosFQcC3vvUtfOYzn4FhGPjCF76ABw8e4Ktf/SqePHmCDz74AH/913+NL33pS/ibv/kbcByHf/zHf6TAfIQoqCEunb6M0WiUlnOcwd6iO+gDF8MwUCgUsLOzg7feegv3798/9ZmhoCbczYTtkGp3dzcwfWg6oaCGBAHHcUgkEkgkEk6Jux3eVCoVHB8fY2trC6qqIh6Pu5ZNxePxgQ3kaYLAJgpqCOkvLxU1vcw33n//fbz//vuux77+9a87/3tpaQk/+tGPLvRvk/6joIZ0jXY3Opu9RXcQem60Y1kWdnZ2sL6+jitXrnRsFBzmkMIW5mbChmHg448/xvj4eGD60HRCQQsJqtbwxq6GsywLzWYTsixDURRsb29DVVXEYjFXeCOKYs8hCy19Yhf1qCGkv7xU1FQqFVcjeRJcFNQQ0gdBriI5OjpCLpfD2NgYnj59em7fgiC/Ft0K49Inuw9No9HA48ePMTExMepDGgqqqCFhwnEc4vE4Ll265FrKqKoqFEWBoijY3d1Fo9FANBp1hTeJRMLT5J6CGnZRjxr2UZjmL7quQxTFrn5WlmUKakKCghriQif1i7GXPgVJpVLBysoKeJ7Hw4cPIUlSV3+PgppwBTVv9qGxtwMOCwpqCAHi8Tji8Timp6edx5rNphPe7O/vo16vQxAEV3gjSdKZ4w4KathFS5/YR++Rv3ipqFEUBWNjYwM+IsICCmrIKedNHGjwdJq99CkIVFVFPp9HpVLBwsKC58qIMC/7sYUhqLEsC9vb26f60BSLxcA/91YU1BDSXiwWw9TUFKamppzHNE1zwpvDw0PUajXwPH8qvLGXWtNYg00UArDvIs1pyeh46VGjKApV1IQEBTXEE3vnp6D3nfAqCBU1uq5jY2MDe3t7uH37NpaWli40SKaKmuD36SmXy1hZWcHY2NipPjRhCKlanRW0dPvdoaCGhEk0GsXk5KRrp0BN01CpVKAoCgqFAqrVKniehyiKzk5UyWSSggGG0LIa9lFQ4y9e3i9ZlpHJZAZ8RIQFFNSQUzpNHCioac/PFTWWZWFrawuFQgHz8/N48eJFTwNiGrwFt6rI7kNjGAbefvttpFKpUz8TtqbjvT5f+r6QsItGo5iYmHBVb+q6joODA1SrVWxubqJWq4HjOFflDYU3o0M9athHVU/+4qWihoKa8KCghnhiBzXEza9VJIeHh8jlcpicnAzFDj3DErSqkjf70LQ2EX0Tx3GBeu7noaVPhPSfIAjIZDJIJpN48OABgJM7zpVKBbIso1gsolqtguM4pFIpV3hDVQSDRyEA+6iixl90XffUo4aCmnCgoIZ4QkFNe4IgQFXVUR9G1xRFwcrKCqLRKN55551QNX8dhqAENWf1oekkbBU1/QhawvR6EdKtN3vU8DyPsbExVxNNO7xRFAVbW1uoVquwLMsV3qRSKZqw9hkFNeyjoMZfDMPwVFFz9erVAR8RYQEFNeSUTqX4FNS055eKmkajgVwuh3q9jsXFReoaPyBBqJLo1IemE6qoGe7fJySoumkm3C68MU3TCW92dnZQqVRgWRaSyaQrvOl2UkROox417KMwzV+8LCesVCrUTDgk6CpFPKGgpj3Wmwm3Ll25c+cOLl26NPBBVph37PDz8+6mD00nQakm6lavwRQFNYS0d9FrSCQSQSaTcS0NME0T1WoViqJgb28Pq6urMAzDFd6k02kKb7pEPWrYRxU1/uJlHEDbc4cHXZGIJxTUtMdqM2HTNFEqlbC5uYnr1693tXSlH2hrVf/x0oemk7AFD1RRQ8hg9PMaEolEnDDGZpomarUaFEXBwcEB1tbWYBgGJElyhTfUu+000zQp1GKcaZoU1AQU9agJDzrLklPOW/rkp15eo0O+AAAgAElEQVQsw8JaRY1lWTg4OEA+n8f09DSeP38+1EGVvRSM7rix7yJ9aDoJY0UNBTWE9N+gw/5IJIJUKoVUKoXLly87v9MOb46OjrCxsQFd15FIJFzhTSwWG9hx+QEtq2EfjcH8w+u5joKa8KCghngiCAKq1eqoD4M5LFXUHB8fI5vNQhRFPH78GKIoDv0Y7O2p6U4k2y7ah6YTCmrcf0YIuZhRVGVyHIdkMolkMom5uTnnOOr1OmRZRrlcRqFQcMKbVCqFTCYTuvCGKmbZZ5omjcF8wmuoRkufwoOCGuIJLX1qj4VmwvV6HblcDqqqYnFxcaRpOwuvBzlbr31oOqFdn4b79wkJKla+FxzHQZIk1+6IdnhTqVRQLpexubkJTdMgiqKr8iYej4/wyAeHKmrYRxU1/uFlxyfgZNcnCmrCgYIackqnuyTRaBSapg3xaPxhlAGWpmlYW1vD0dER7t69i+np6ZHf6aKg5gRrdx371YemkzDu+kTNhAkZDJbOn61aw5uZmRkAJ+f7RqMBRVFwfHyMUqmEZrOJeDx+Krxh9Xl1i4Ia9lEzYf/Qdd1TUNNsNpFIJAZ4RIQVFNQQT2gC3t4oqghM00SxWESpVMKNGzewsLDAzOCPPidsNVTudx+aTqiiZrh/n5CgYuX82S2O45BIJJBIJFzhjaqqUBQFiqJge3sbqqoiFou5whtRFH31XCmoYR81E/YPL6EajRfChYIacgpV1LDNsizs7+9jdXUVMzMzePbsGXO7L/A8H6qqinbsPj2jHswOog9NJ2GsqGk3cOp20kVBDSHt+S2oaYfjOIiiCFEUXRWMreHN7u4uGo0GotGoK7xJJBLMPv8gvDdBx8L4g3THa0UNwG61IekvtmZ3hHksNc0No1evXiGbzUKSpJE1Cu6GHVKE2aib6g6yD00nkUgkVGFuPypqCBsoMGNLkMOAeDyOeDyO6elp57Fms+mEN/v7+6jX6xAEwRXeSJLExGtCFTXso6VP/kEVNeQsFNQQT+jCPBq1Wg3ZbBaGYeD+/ftIp9OjPqSOaOnT6IKaYfSh6SRsFSK09ClYWJgEkxNBDmraicVimJqawtTUlPOYpmlOeHN4eIharQZBEJBKpZBOp5HJZEYS3lBQwz5a+uQfXipqKpXK0G68kdGjoIacEqaBUT/ZSz76OXhpNptYW1tDuVzGwsKCawDHMgpqhl9VNMw+NJ2MupJo2PrRk4eCGkJOo+/FyXLzyclJTE5OOo9pmoZKpQJFUbC+vo5arQae509V3gzy/B+2EM2PaOmTf3ipqJFlmfmbtaR/KKghbdFdXu/scKIfF0bTNFEoFLC9vY2bN29icXHRV4Mi6lFz8hoM6zs07D40nYQtqAF6m1DSuZaQ9igMaC8ajWJiYgITExPOY7quO5U3hUIBtVoNHMe5wptkMtm3iTtV1LCPlj75h67rkCSpq59VFAWZTGbAR0RYQUEN8WwQlSNBIAgCDMPoaZJsWRZ2d3extraGubk5PH/+3JcXWp7nQ9WnpJ1hVNSMqg9NJ2ELHmjpEyGDQ0FNdwRBaBve2JU3xWIR1WoVHMc5y6bs8OYiYwwaA7KPgk7/8BKqKYpCFTUhQkEN8UwQBOi6jlgsNupDYUqvjZbL5TKy2SzS6TSePHmCeDzex6MbLlr6NNjKklH3oekkbBU1vS59oqCGkPZootkbQRAwPj6O8fFx5zHDMJzwZmtrC5VKBQBc4U0qlTp30khBjT/Q98cfvPSokWWZKmpChIIa0lanyQMFNe3ZFTVeVatVZLNZWJaFBw8eMFEV0Sva9WkwgQUrfWg66UfPFj/pdTtyCmoIaY+Cmv7jeR5jY2MYGxtzHjMMA9VqFYqiYGdnB5VKBZZlIZlMupZOtYY39N4Q0j+6rnuqqGn9/pJgo6CGeGYHNcTNa0VNs9lEPp+HLMtYWFhwNQv0O6qo6X9Qw1Ifmk56DS78hiYrhAwGhQHDwfM8MpmM6y69aZpOeLO3t4d8Pg/LsiBJEtLpNDRNo2a1hPSJYRhdV9TQ0qdwoaCGeEZBTXvdhhOGYaBQKGBnZwe3bt3C/fv3AzcYpWbC/XsNWOxD00kYK2p6XfpECDnNsiwKAkYkEok4lTQ20zRRq9WgKAp0Xcf//u//wjAMSJKETCbjLJ9i9SYCIazyuvRpZmZmwEdEWEFBDWmr0+SBgpr2zntdLMvCzs4O1tfXceXKFd82Cu4GLX3q/TVguQ9NJ2GsqAnT8yVkWMIU+PpBJBJBKpVCKpVCqVTCe++9B8uyUKvVIMsyjo6OsLGx4exgk0qlkMlkKLwZAbom+YuXZsKVSgV37twZ8BERVlBQQzyjoKa9ThU1R0dHyOVyGBsbw9OnTwPf34eWPl186ZMf+tB0ErZmwtRjhpDBoYoztnEch2QyiWQy6TxmhzeKorjCm0Qi4ep5E/Rx0CiZphnYG4FB5GWZpyzL1KMmRCioIW1RRY13giCg2Wy6HqtUKlhZWQHP83j48CEkSRrR0Q0XBTUXq6jxSx+aTmjpEyGkH6hHjT+1hjdzc3MATt7Ler0ORVFQLpexubkJTdMgiqIrvPHzbpcsoaDGX7yc5xRFoV2fQoSCGuJZNBpFtVod9WEwp7WZsKqqyOfzqFQqWFhYwMTExIiPbrgoqDkJLDRN6+pn/daHppOwLQWioIaQwaCgJjg4joMkSZAkCbOzswBO3t9GowFFUXB8fIxSqYRms4l4PH4qvKHPgTfU6NlfvIwhKKgJFwpqiGdedzcKC0EQoGka8vk89vb2cPv2bSwtLYVygBG25S/tdNNM2K99aDoJ23tPQQ0hg0FBTbBxHIdEIoFEIuE0R7UsC6qqQlEUKIqC7e1tqKqKWCzmCm9EUaTPRgdeep6Q0TJN09NnmZY+hQsFNaStTieNaDRKQc0bLMvC0dERtre3cfv2bbx48SLUdzNoANV56ZPf+9B0QkufCCH9QEENmwZ5vuM4DqIoQhRF142L1vBmd3cXjUYD0WjUFd4kEgn6vPwfWvrkH1625gZOKmooqAkPCmqIZ9Sjxu3w8BC5XA6pVApTU1O4efPmqA+JMOCsypIg9KHphJY+EUL6gYIaNo3ifYnH44jH45iennYeazabUBQFsixjf38f9XodgiA4wU0mkwlteENLn/zDa/VTvV5HIpEY4BERllBQQzyjoOaEoihYWVlBNBrFo0ePAADLy8sjPirCijeDmiD1oemEKmrcf0YIuRgKathkmiYTIUAsFsPU1BSmpqacx+zwRlEUHBwcnApv0uk0JEkK/OeKlj75h67rnipqADDx/SPDQUENaYt2fTpbo9FALpdDvV7H4uKiU4LYbDZD/boQNzuoCWIfmk7CVmEStudLCAk3lgO0duGNpmlOeHN4eIharQae50+FN0Ga/LISppHzeQnV7LEGq98/0n8U1BDPwrqjT+uE+86dO7h06ZLrZCkIQihfl05YHtANWiQSQaVSwUcffRS4PjTkNQpqCBmMMF8/WOa3ECAajWJychKTk5POY7quO+FNoVBArVZDJBJBKpVywptkMumr59mKKmr8w0tFDY01woeCGtJWp8FR2AZOpmmiVCphc3MT169fP3PCHbbdbs5j73oUxsFCuVzGy5cvoes6Xrx4Ebg+NOS1s5Z6qaqKzc1NSJJEu5QQcgEU1LDJb0FNO4IgYGJiAhMTE85juq6jUqlAURQUi0VUq1VwHOcKb1KplC+eOwU1/uHlvarX65AkacBHRFhCQQ0hZ7AsCwcHB8jn85iensbz5889ryMNM3vXozANFlr70Ny7dw/r6+sU0oRAa1BjmiYKhQK2t7dx5coVVKtVZ5cSe4vZTCaDdDqNeDxOE1FCzkBBDZuCENS0IwgCxsfHMT4+7jxmGIYT3mxtbaFSqQDAqfCGtXGOaZo0XvUJLxU1siwjnU4P+IgIS+hbTM50Xkl/kAdRx8fHyGazEEURjx8/hiiKoz4k3wnTErl2fWiazSZVWIVAa0XN4eEhstksZmdn8ezZMxiG4TpH2lvMyrKM7e1tqKqKeDwOVVVxeHjohDeEkGCPMfwsTO8Lz/MYGxtzbYdsGAaq1SoURcHOzg4qlQosy0IymXSC+FGHN2G7SeZnuq53fUOPtuYOHwpqyIXYy3yCdiGo1+vI5XJQVRWLi4vIZDKjPiTfCkNQY1kWtre3sbGxcaoPDS2FCweO42AYBj755BNwHId3330XiUQClmXBMAzXpObNLWYty4KqqvjZz36G4+NjlEolNJtNiKLoVN2k02nEYrFRPkVCRiJMgYCfBLWipls8zyOTybjGh6ZpOuHN7u4uFEWBZVmQJMkJbtLp9NCqXII4Pg8qwzC63m5bURSqqAkZCmrImTpV1Ng7PwXlQqBpGtbW1nB0dIS7d+9ienr6QgNEjuNCP4ix2T1qgqpcLmNlZQVjY2P49Kc/feqOCAU1wWcYBtbW1lCtVnHv3j3XTiMcx51blchxHERRRDQaxa1bt5yfbzQakGUZ5XIZhUIBuq4jkUi4whtaUkeCjoIaNtEY57RIJOKcm22maaJWq0GWZRwcHGBtbQ2GYTiVN/ayqUGcyw3DoPfIJ7zMpWRZphvIIUNBDbkQQRCgaZrvy/RN00SxWESpVMKNGzewsLDQ08DQriKhC+TrHjVB09qH5u2330YqlWr7c2c1mSX+Z1kW9vb2sLq6ivn5eSSTSVdI45Ud0NjhTiKRQCKRwOzsrPP76vU6ZFnG0dERNjY2oOu6a8A/zLu1hAwDnT/ZZJomBWhdsHeRah0j2OGNoiiu8MZuOt+vIJ6WPvmHYRhdX7sVRaGgJmRoVEcuxO9bUVuWhf39fayurmJmZgbPnj3ryyTHfl3obnfwlj6160NDzhbUu+GVSgUvX75EIpHAkydPEI/Hsb29PdDfyXEcJEmCJEmYm5sDcPL6vnm31jRNpvokENKrIJ5D/M6yLLoZdUGt4c3ly5cBvD6XK4riCuITiYQrvPGyBJaqnvzDazNhCmrChYIacqZOA6RoNApN04Z4NP3z6tUrrKysIJlM9r1RMM/z0HW9b/+enwUlqOnUh4a011ohEhS6riOfz+P4+Bj37t3ra0O/85ZInfV3kskkksmkM+A/q0+C3R/BDm/o80v8IGjnkKCgEKC/Ws/lrUF8vV6Hoigol8vY3NyEpmkQRdEV3pxV1U4VNf7h5b2SZdm1pTwJPgpqyIXYPWr8pFarIZvNwjAMLC0tDaQhV1DCiX4IwmtxXh8a0l6Qln1ZloWtrS0UCgXcuHEDi4uLfZ88XiSoaeesPglvbi/LcZwrvEkmkzTxIsyhoIZNFNQMXmsVZesS2EajAUVRXM3n4/H4qfCGghr/8FJRoygKbt68OdgDIkyhoIZciJ8qR5rNJtbW1lAul7GwsNBTL4nz+DHAGhQ/NxPutg8Nac9uqu33geLx8TGWl5eRyWQGGtT1K6hpJxKJODuUzM/PAzi5g2eHN8ViEdVqFRzHOcFNOp2GJEk0GSMjRUENm6hHzWi09i+bmZkB8HrnQEVRoCgKtre3oaoqGo0GCoWCcz4XRZHeM0Z5CT6pR034UFBDzuT3pU+maaJQKGB7exs3b94cyJ3wNwWhiqRf/NhMmPrQ9IffK2qazSay2Szq9ToePHgw8KBukEFNOzzPY2xszLV8S9d1J7wpFAqoVqvgef5UeEODfTIsFNSwiXrUsMPeOVAURWe8YlkWPv74Y4yNjTnLYBuNBqLRqGvnQApv2ODlPEdBTfhQUEMuRBAE1Ov1UR9GW5ZlYXd3F2tra5ibm8Pz58+Hdmff702W+4nneTSbzVEfRlcG2YcmjJMNu6LGb0zTxObmJra2tnD79m3Mzs4O5b1j4fMhCALGx8cxPj7uPKbrOhRFgSzLODw8RK1WgyAIrsF+IpFg4vhJ8ITx3OkHtPSJbRzHIRKJ4NKlS66bTa2VN63hTeuyKTqfs42CmvChoIacqdPJmtUlPnZPkUwm4+zIMkx+WhI2aH6pLhpkH5pIJBKIJUBe2c/bT46OjpDNZjE9PT3UcNfGYgWSIAiYmJhwNS/UNA2yLENRFOzv76Ner7vu1GYyGcTjcRrsExJQYbymBUE8Hkc8Hsf09LTzWLPZdMIb+3wuCIIrvKFKSnYoitLXjQwI+yioIRfCWlBTrVaRzWZhWdZIe4oIguCbKpJBY71HzTD60IQ1qBn2Up5e2J8Dy7LwzjvvQJKkvv3b3b4Ofnq9otEopqamXL2+ms2mE97Yd2pbG1za4Q0hXlBFDZuooiY4YrHYqfO5pmlOeGNXUtrLYFvDG/oM9M7rd4mCmvChoIZcCCtBTbPZRD6fhyzLWFhYwOTk5EiPhypqXmO1omaYfWhYD6sGxQ8VNYZhYGNjA3t7e1hYWHDdZRw2PwU17cRiMUxPT7teQ1VVnfBma2sLzWbTtbVsJpNBLBYb4VET1lFQwybqURNs0WgUk5OTrvG0vQzW7mFWq9UQiUSc3QPT6TTtHngBXnZ8Ak5uStPmFuFCQQ05E8tLnwzDQKFQwM7ODm7duoX79+8zMaBjNZwYBdZei0H2oTmLHxsq9wPLQY1lWTg4OEA+n8fly5eH8jk4j9+Dmnbi8birR8KbW8sWi0VomoZEIuFqWDyonbWI/1BQwyaqqGHbIK4l7ZbBtjagb909sDW8SaVS9FnpQNd1zxXX9HqGCwU15EJGFdS0TravXLmCFy9eMHXSombCr7EUUgyyD00nLAcWg8Tqrk/VahXLy8uIRqN4/PgxRFEc9SEBCGZQ86aztpat1+tQFAVHR0fY2NiAruuQJMkV3ni540iCg4IaNtH23Gwb1nLrdg3oDcNwwputrS1UKhVwHIdkMumc05PJZOiWg5/FMIyur29BHyOQ9mj0Qy5kFBNQu9nn+Pg4nj59ymTZPC19eo2Fipph9KHpJKxBDWu7Pum6jtXVVZTLZSwuLrruCrIgDEFNOxzHQZIkSJKE2dlZACeD0VqtBkVRcHBwgLW1NRiGgWQy6dptigb6wUdBDZto6RPbDMMY2fvD8zzGxsZcfVQMw0C1WnXCm2q1CsuyXOf0VCoVynP6RSpq6JwYLhTUkDN1OhkM80RRqVSwsrICnuf73uyz36ii5rVR9mcZZh+aTsIa1LBSUWNZFnZ2drC+vo7r169jYWFhIOcuO2ihAVTv7LuvyWQSc3NzAE7uENvhzd7eHvL5PA30Q4CFcwg5jZY+sc0wDKbOhTzPI5PJIJPJYH5+HsDJZ6harUKWZezs7KBSqTjn9NZlU0GvpvRSUWM36SfhEuxvAOnZKO/0qqqKfD6PSqWChYUF5u6Ct0MVNa+NoqJmFH1oOglrUMNCRY0sy1heXkYqlRrKcrdegpqwVtR0y25amUqlcPnyZQBnD/RTqZQrvKEJpb9R+MkeCmrY5of3JxKJOIGMzT6n24H86uqqU03ZuuNUkMIbL82EZVl2vV4kHILzaScjMYi7yLquO7ux3L59G0tLS74ZrFFFzWvDnqyPqg9NJyws/xqFUVbUNJtN5HI5VKtV3L9/fygDm16fLwU13rUb6Nsl9rIsu/ojtA7yaWcSf/HLtT9MqEcN21irqOnWWeFNu6Wwdh8z+z8WxnsX4eW9UhQFmUxmwEdEWENBDbkwexLar3TbsixsbW2hUChgfn6euUbB3WChkoAVwxrIjboPTSdUUTM8lmWhWCyiWCzi1q1bQw14ew1aKKjpj9YSe5vd3FKWZWdnktYJQSaTgSRJNPEkpEvUo4Ztfg1q2mlXTdnax6y1Cb29g6D9H4t9LN+k63rXy5lkWaagJoQoqCEddZpARKNRaJrWl6Dm8PAQuVwOk5OTzFRDXAQN9oeHlT40nYQ1qBn28y6Xy1heXsbU1BSePXs29NLos86T3Z4PKKgZnHbNLXVdh6IoUBQF6+vrqNVqEAQBjUYDe3t7GBsbQyKRoPM5IW34YWlNmAX9/WnXx6x1B8FyuYzNzU1omgZRFF3hDWs9Xrzc7FYUhZY+hRAFNeTC+rFFt6IoWFlZQTQaxaNHj5BIJPp0dCSoWOtD0wkFNYPVaDSwsrICXdfx8OFDJJPJgf/Odqiixl8EQcDExISr75mmafjpT38KVVWxurqKer2OaDTq2iZcFEUKb0joBT0I8LsgVdR066wdBBuNBhRFwfHxMUqlEprNJuLxuKuiMhaLjey87rVHDVXUhA8FNaSjTievXoKaRqOBXC6Her2OxcVF191OQs7CYh+aTsIa1Aw6eDBNExsbG9jd3WWimoqWPPpfNBqFIAi4fv26MwltNptO5c3u7i4ajQZisZgrvInH4xTekFChHe7YFsagph2O45BIJJBIJDAzMwPgdXhjL4fd3t6Gqqqu8GaY53XqUUPOQ0ENubCLBDWty1Xu3LmDS5cuBe6Cb0/a6I7TiX4M6ljuQ9MJz/PQNG3UhzF0kUhkYE2UDw4OkMvlMDc3x0w1FVXUBFMsFsPU1BSmpqacx1RVhaIobQf5reENIUFF4xu20ftzttbwxr7BY1kWms0mZFmGoijOed0O5e3/BlFR6aWihoKacKKghlyYl6DGNE2USiVsbm7i+vXrzEywBsFushzU5+dFrw2n/dCHppOwVtREIpG+b1Nfq9WwvLwMnufx+PFjiKLY13+/F52Clm6CSgpq/CMejyMej2N6ehrAyftrhzet5fV2bwQ7vPFDY0tCukEVNWwzDIPONx5wHId4PI5Lly65xpj2eb21otJeDmv/12svM13XPVXUzM/PX/h3EX+ioIZ01OvSJ8uycHBwgHw+j+npaTx//nzojT6HzQ4nWF+WMww8z18oqPBTH5pOwhrU9HMpkK7rWFtbw9HRERYXFzE5OdmXf7efqKImvDiOgyiKEEXRdYfW7o3Q2tgykUg4wY2ft5QlhIIadpmmSUuf+uDNUB5wL4fd399HvV6HIAiu8MbLLoJemwlTRU34BHvGTAZKEASoqnrmnx8fHyObzUIURebugA9SP5osB4UdWnnhtz40nYQ1qIlEIj0HD5ZlYXd3F2tra7h27RqePXvGbFhHQQ1pdVZvhHq9DlmWXVvKSpLkCm+CfiODEDJYVNE9OO2Ww2qa5oQ3h4eHqNVq4Hn+VHjT7j3xskyNgppwohEBuTBBEFCtVk89Xq/XkcvloKoqFhcXQ3diuUg4EVReXgu/9qHpJKxBTa8VNYqiYHl5GZIk4enTp8yXcVPQQs7TuitJ65aytVoNsizj4OAAa2trME0TyWTSWTaVSqXo7jghpGtUUTNc0WgUk5OTrmpfTdNQqVSgKAoKhQKq1Sp4nkcqlXLCG6+7VFJQE04U1JCOvCx90jTNWaJw9+5dTE9Ph7I8loKa17ppKuv3PjSdXHTpl99dNKDSNA25XA6KouDevXu+2Q2OKmrIRXAch2QyiWQyicuXLwM4mWTZ4c3u7i4URYFlWc4AP5PJIJlM0kSMENIWVdSMXjQaxcTEBCYmJpzHdF13wptisYhqtYparYaVlRWkUinn3H7WeyfLsm/GRKR/KKghF2YHNaZpolgsolQq4caNG1hYWAhlQGOjpU+vdQqtgtKHppNB7n7EMq9LnyzLcpqN37x5E/fv3/fVOeSsoKXb50BBDbFFIhGkUilXRaFpms4Af2try6lkfTO8Cdr5kxDiHW3PzSZBEDA+Po7x8XEAJ+Oe//7v/8bc3BxkWXbCG47jcHx8jP/5n//BkydP8OTJEySTSaqoCSkKakhHnSYaPM+jUqngJz/5CWZmZvDs2TNaX4+Tk3EYJ+ftnBXUBKkPTSe09Ol8r169wvLyMiYmJnx7DqGKGjJIkUgEmUwGmUzG2fXDMIxTd2c5jnPK6jOZzJl9EQghwUXbc/uDHaiNjY25KmUMw8D6+jo++eQTfPvb38af//mfAzh5X//5n/8Zn/70p/HOO+9AkqRzf8cPfvADfPnLX4ZhGPjiF7+Ir3zlK6d+5l/+5V/wta99DRzH4Z133sF3vvOd/j1J0jP/jYgJE+zJVaPRwIsXL0LTKLgbPM9TRc3/eXPpTxD70HQS1qCmm+etqipWVlbQbDZ9/1mgoIYMW7sBfmtpfaFQQK1WQyQScW0T7mVHEkLeROcp9lFFjT+cteMTz/O4c+eOE9AAJ2Pn3/3d34Uoivinf/on/PznP0ez2cSDBw/w3nvv4fHjx3j06BHS6bTr3//www/xwx/+EFevXsXTp0/xwQcfYGlpyfmZXC6Hv/zLv8SPfvQjTExMYH9/f7BPmnhGQQ3xpFarIZvNwjAMLC0t4Ve/+hWFNG/geR6apo36MJhgV9QEuQ9NJ2EOas4a0JumiUKhgO3tbdy5cwczMzO+nzhSUENY8GZpPXAS3tg7kqyvr6NWqznbydrhTSKR8P13kAyHZVn0WWEcBTX+oOt61xXEoigiEongT/7kT5zvn6Zp+NWvfoWf/exn+N73voevfOUrkCQJP/zhDwEAH3/8Me7cuYNbt24BAD73uc/h+9//viuo+fa3v40PP/zQ6aVj71JI2EFBDenIPiE0m02sra2hXC5jYWHB2ZqOJhenCYKARqMx6sNgAsdxODo6wvr6Oq5duxbIPjSdhLWZ8FlLnw4PD5HNZjE7O4vnz58HZjDZ63bkFNSQQREE4VRTS3s7WVmWsb+/j3q9jmg06tomXBTFkU7I6fvAJgpq2EdLn/zhIoFa63cvGo3i0aNHePToEb7whS8AgGvctbW1hWvXrjn//+rVq/joo49c/142mwUA/PZv/zYMw8DXvvY1/N7v/Z7n50IGh4Ia0pFlWdjY2MDW1hZu3ryJxcVFukifg5Y+nSiXyygUCojH44HuQ9MJNRM+Ye9swHEc3n33XSQSiREe3WDQxJL4RbvtZJvNphPe7O7uotFoIBaLOeFNJpNBPB4f2jFSIMAmCgH8gb477PNSUdNsNrsaQ7d+N7vZ4EDXdeRyOfzXf/0XSqUSfud3fge//OUvXTjO11kAACAASURBVFWZZLQoqCEdcRyHWCwWqLvfgxb2ZsKtfWiuX78OwzBCGdIA4V36ZFfU2E3xDg4OXJV4QdOPipowfk4IO2KxGKamplzfUVVVIcsyFEXB9vY2VFWFKIquhsWxWGwgx0NBDZsoqCGkP7xU1CiK4uo/042rV6+iWCw6/79UKuHKlSunfub58+eIRqN46623sLi4iFwuh6dPn3r6XWRwKKgh55qfnz9zEmJPMOjC/VpYK2pa+9AsLCxgenoaBwcHePXq1agPbWTCOtHgOA71eh0/+clPMD8/j2fPngX6HEE9akgQxeNxXLp0yekpZlmWE94cHx+jWCxC0zQkEglXeNOPYJ6CGjbReI+Q/vBSUSPLsuetuZ8+fYpcLof19XXMz8/je9/73qkdnX7/938f3/3ud/H5z3/eWZpu97QhbKCghpyr0yRCEATouj6wu2p+dNaW1EFlWRa2t7exsbFxqg9NWJf+hFmlUsGvf/1rNJtN/NZv/dZQl0uMylnnyG4nmhTUED/gOA6iKEIURafppGVZqNfrUBTFWe6q6zokSXI1LO52QmKj7wObKEAjpD+8VtS07vDXDUEQ8K1vfQuf+cxnYBgGvvCFL+DBgwf46le/iidPnuCDDz7AZz7zGfz7v/87lpaWwPM8/uqv/iqwlc9+RUEN6QkFNafZr0kYlMtlrKysYGxsrG0fmrCFVmGm6zry+TxevXqFu3fvIp/PhyKkAaiihoQXx3GQJAmSJGF2dhbAyWS+VqtBURQcHh5ibW0NhmEgmUw64U0qlTo3vKFAgD1UUcM2uo74hx1od0OWZc9LnwDg/fffx/vvv+967Otf/7rzvzmOwze/+U1885vf9Pxvk+GgoIb0JEyhRLfCEE609qF5++23kUql2v5cGF6LsGutqLpx4wYWFxdhWVaoeq702mOGghoSJBzHIZlMIplMYm5uDsDJBN8Ob/b29rC6ugrTNJFMJp2qm1Qq5dxhpsoNNlFQwzZ6f/zDa0WN16VPJBgoqCHn6jRYoqDmtCA3kG3Xh6aTsG5PHRbHx8dYXl5GJpM5VVEVpuCBghZCOotEIkilUkilUrh8+TKAk0lltVqFoijY2dlBpVKBZVlIpVJIJBIwDIMmnoyxLIveD4ZdZMtnMhqD7lFDgoGCGtITCmpOC+JdwE59aDqhippgajabyGazqNfrWFpaOlWSG8TvQCe09IkQ7yKRiNOE2N6NxDAMVKtV/OY3v0Gj0cBPf/pTcBzn/Fw6nUYymaSwYERM0wzd+d1PKNj0D13XqaKGnIuCGtITCmqC77w+NJ1QUHMiKGX8pmmiWCyiVCrh9u3bmJ2dDcTz6hUFNYT0B8/zzs5RiqLgU5/6FAzDQKVSgSzLKBaLqFarrpDHDm/oXDR4FASwjSpq/MMwjK4rahRFcRq4k3ChoIaci5Y+hVO3fWg6oV2fXi//8vvg6ejoCNlsFtPT03j+/Lnvn08/UVBDSH+1hts8z2NsbMy164mu61AUBYqioFAooFqtQhAE1zbhiUSCwps+o6CGbUEYa4QFVdSQblBQQ3oiCALq9fqoD4NJfq2i8NqHppNIJBL6CagdVvl18GQHdpZl4Z133ul6l4IwoWbChPTXed8HQRAwMTGBiYkJ5zFN05zwZm1tDbVaDYIgOM2KM5kMRFH05XWZFX4d14SFYRgUpPmE14oaCmrCiYIaci6qqPFOEARPJ2EWXLQPDenMr82lDcPAxsYG9vb2eg7sgq5T0NLNpIaCGkJO8xoIRKNRTE5OYnJy0nms2Ww64c3e3h4ajQZisZgT3KTTacTjcQofukQVNWzz802hMOr2vENBTXj5ZxZJmERBTXs8z3vq6D5qvfShIZ35LaixLAsHBwfI5XK4cuUKBXZdoKCFkP7qV+VGLBbD1NQUpqamnMdUVXXCm+3tbaiqing8fiq8IadRUMM2en/8w8uYQVEU19JPEh7+mEUSZlFQ055fmuj2ow8N6cxPQU21WsXy8jKi0Sjee+89iKI46kPyBepRQ0h/DXKJTTweRzwed6oELctywpvj42OUSiU0m02IougKb2Kx2ECOx08oCGAbVdQEE1XUhBcFNeRcnQZL0WgUmqYN8Wj8gfUAq599aEhndjNhlum6jtXVVZTLZSwuLrr6PpDzUVBDSH8NsxcKx3EQRRGiKOLSpUvO7280GlAUBeVyGZubm9A0DYlEwhXehK36lHrUsI2CGn/wus09BTXhRUEN6QnrgcSosFpRM4o+NHaj1bDehWN55yvLsrCzs4P19XVcv34dCwsLfR2Eh2VQ32vTbApqCHEb9bmD4zgkEgkkEglnW1zLslCv1yHLMo6OjrCxsQFd1yFJkhPcpNNp3yx5vogwX8v9wDTNQH/+gsJrD0vDMKiiL6To20x6wmogMWosBlij6kNjV5SEdXDH6tInWZaxvLyMVCo1kM+DHT6EIag5K2jp9rlTUEOIG4vnDo7jIEkSJEnC3NwcgJPjrNVqkGUZBwcHWFtbg2EYSCaTrvAmKFUOYb6W+4FhGNRfyQe8VD7R2CDcKKgh5+o0WGJtIMUKlgKsUfehsV+LsN7lYS2oaTabyOVyqFaruH//PtLp9EB+j/28wzKop4oaQvqHxaCmHY7jkEwmkUwmcfnyZQAnYYYd3uzt7SGfz8OyLKRSKWfZVDKZ9GV443XJBhkuWvrkDxfZbIS+d+EUzpkT8YwmEt7Y23OPEit9aFhe+jMMrAQ1lmWhWCyiWCzi1q1bWFpaGuiFn5XnPQy9Ln0ihLj5+fsUiUSQSqVcN0VM00S1WoUsy9je3kalUgGAU+EN68G2ZVnMH2OYhenmiJ95CdQMw6D3NMQoqCF94Ze7X8PC8/zImiyPog9NJyxVF40CC82Ey+UylpeXMTU1hWfPng2luilM4YXdh6mdbs6NFIQTclqQxhSRSMRZBmUzDAOVSgWKoqBYLKJarYLjOOfnMpkMJEliapJGQQDbqKLGH7xU1MiyPLDKZ8I+CmpIVzpNJOw753RxeE0QBDQajaH/3lH1oekk7EENx3Eje/6NRgMrKyvQdR0PHz5EMpkc2u/uFF4ETa/LQymoIcQtDDd/eJ7H2NgYxsbGnMcMw4CiKFAUBYVCAbVazRXy2OHNqF4bCmrYRmNxf/ASqMmyTDs+hRgFNaRnduNcuji8xvP8UJsJj7oPTSdhD2pGUVFjmiY2Njawu7uLu3fvOlvODlPYKmqoRw0h/ROGoKYdnucxPj6O8fFx5zFd153wZn19HbVaDYIguLYJTyQSQ3m9qEcN22iZjD94qahRFIUqakKMghrSMzuooU7zrw0rnGClD00nLCz9GaVIJDLUZXAHBwfI5XKYm5sb6bK3sFXU9PJcKaghxC2sQU07giBgYmICExMTzmOapkFRFMiyjP39fdTrdUSjUVd4I4pi319D6lHDNqqo8QcvG2woikIVNSFGQQ3pSqeLPYtbUY/aoF8T1vrQdELNhIfTVLdWq2F5eRk8z+Px48cQRXHgv7MTqqjx9vcJIa9RUNNZNBrF5OQkJicnnceazaYT3uzu7qLRaCAWiznBTSaTQSwW6+l1paVPbKOKGn/Qdb3rMRotfQo3CmpIzyioOW2QFTUs9qHphJY+DbaiSNd1rK2t4ejoCIuLi66B+yiFraKGlj4R0j/0ffAuFothamoKU1NTzmOqqjrhzfb2NlRVRTwePxXedIuCGrZRM2F/8NIugipqwo2CGtIzCmpOG8T23Cz3oekk7EHNoJoJW5aF3d1drK2t4dq1a3j27BlTA+gwbc/dj6CFJqaEvEYVNf0Rj8cRj8edZdGWZUFVVciyjOPjYxSLRWiahkQi4WpYfNYNIOpRwz56f9hHS59ItyioIV2hpU/e9LOZsB/60HTC8zyazeaoD2NkBlFRoygKlpeXIUkSnj596umO6LDQ0qfh/X1CgogmnP3HcRxEUYQoipiZmQFwEt40Gg3IsoxyuYxCoQBd1yFJkiu8EQSBetQQ0gdeK2quXbs24CMirKKghvRMEIShNkv1g35UE/ipD00nYa+o6WdliaZpyOVyUBQF9+7dc23ryhpa+jS8v09I0FBFzfBwHIdEIoFEIoHZ2VkAJ69/rVaDoig4OjrC+vo6DMNAo9HA1tYWxsbGkEqluq4KIIS85rWihuWxHhksOsOSrpxXUaOq6hCPhn29DjD91oemE2om3J/QrlQqYXNzEzdv3sT9+/eZn8TQ0qfh/X1CgoaCmtHiOA7JZBLJZBJzc3MATt6Tjz76CNFoFPv7+1hdXYVpmkgmk07VTSqVoh4phJzD6/bctPQpvCioIT2LRqNUUdMnfu1D0wlV1PQWWLx69QrLy8sYHx/Hs2fPfHMHk5Y+De/vExI0FNSwh+M48DyPK1euOI+ZpolqtQpFUbCzs4NKpQLLspBKpZyGxalUypfVwH5D1xD/8NKUm4KacPPHiJ8wjXrU9M7vfWg6oaDmYkGNqqrIZrNQVdWXoR0tfSKEXBT1QvGHSCTi9LGxAxzTNFGpVKAoCra2tlCpVMBxnCu8SSaT9P72Ge3I5R9egmha+hRuFNSQrlAz4Ys572QclD40nQx6e2rWeQ2qTNNEoVDA9vY27ty5g5mZGV/eWaaKmuH9fUKChr4P/hWJRJDJZJDJZDA/Pw/gpCdHpVKBLMsoFouoVquukMcOb/x4rWMFBTXBJMsyVdSEGAU1pGcU1LRnT9DPWqoSpD40nVCPmu4rag4PD5HNZjEzM4Pnz5/7eq1/mCpqeg2laHJCyGn0vQgOnucxNjbmqgzQdd0JbwqFAqrVKnied6pu0uk0JEmiz0GXDMPw9ZghTLx8pmnpU7hRUEN6RkFNe/br8mZQE8Q+NJ3Q0qfzg5parYaVlRVwHId3330XiURiSEc3ONRM+PWfEUK8oR41wScIAsbHxzE+Pu48pmkaFEWBoig4PDxErVaDIAhOeJPJZCCKIn022jBNk4IaHzBN09Pnt9lsQhTFAR4RYRkFNaQrnU4qYZqQefFmQBHkPjSdUFBz9vfDMAysr69jf38fi4uLmJqaGvLRDU4kEglNgEtLlwjpLwpqwikajWJychKTk5POY5qmQZZlKIqC/f191Ot1RKNRV3gTj8dD/3kxDIOWPvmAlx2faFxBKKghXTtrMhL2i+NZ7IqaMPSh6STsQU2774dlWdjf30c+n8f8/HwgPxNhWvpEQQ0h/UVBDbFFo1FMTU25bmSoqupU3uzs7EBVVcTjcSe4SafTiMfjIzzq4aOlT/5wkfeJzoXhRUENIQPC8zxevXqFly9fBr4PTSd0gXGrVCp4+fIlRFHEkydPAjuYDFulXbugpl6vY2NjA5IkIZPJULNMQrpEQQ17WAqj4/E44vG4U5lsWRaazSZkWYYsyyiVSs6SkdbwJhaLjfjIB4eaCfuDl4oar8ukSPBQUEP6hgZWr9XrdRwdHeHVq1f41Kc+Ffg+NOR8uq4jn8/j1atXuHfvnmtdfhCFbdenVqZpYmNjA7u7u7h69So0TXOaZQqC4EwcqN8CIe3ReII9LAcBHMchHo/j0qVLuHTpEoCTz1Cj0YCiKCiXy9jc3ISmaUgkEq7wJig30Kiixh90Xe/6fapUKkin0wM+IsIyCmpI1zqV95+3w1FYtPahGRsbw/T0NIU0IWff6fvoo49w48YNLC4uhmICEqalT62Ojo6wsrKCubk5PHv2DLquu95vu9+CLMvY29tDvV6HKIpQVRWHh4fIZDKBvutLSDcoqGEPy0FNOxzHIZFIIJFIYGZmBsDJ56per0NRFBwdHWFjYwO6rjtVj/ZuU34cy1JQ4w9e5kqyLFNQE3L+OxMRJp21w1FYtOtDUyqVQt2bhQDHx8dYXl6GaZqhW/oWpooa4GQS8/Of/xymaTo7d9nPv3XS+Wa/BcuyoKoqfvazn+HVq1coFovQNC0QEwdCSHD4Lahph+M4SJIESZIwOzsL4OQcXKvVIMsyDg4OsLa2BsMwkEwmXedg1kOQILw/YeBlrqQoimtLexI+NPIjfRHmLbrL5TJWVlZO9aHheR6apo346NgRpjukzWYT2WwW9XodS0tL+MUvfhGqkAYIT0WNaZrY3NxErVbD4uKiU3YPnLwG5zUa5jgOoigiGo3izp07ANwTh/39fayursKyLKRSKWfJVDKZpEE5CawwXS/8IqjvCcdxSCaTSCaTuHz5MoCT87p9Dt7b20M+n4dlWa7wJpVKMRXeUFW7P3ipfFIUhSpqQo6+0aRrnS7Q0Wg0dEFNvV7HysoKDMPA22+/fWqJE8/zaDQaIzo6ttjVFUEc5LUyTRPFYhGlUgm3b9/G7OysM1kP292uMDQTLpfLWF5exvT0NJLJpCuk6cVZE4dKpQJZllEsFlGtVhGJRFz9bhKJROC/YyQcwnC98JswXcMikQhSqZRrXGeaJqrVKmRZxs7ODiqVCgAglUo55+FRBuiGYQR2c4Ig0XW96/dJlmVkMpkBHxFhGQU1pC/CVD3S2odmYWHB2XXgTWGuMnqT3cMoyIO8o6MjZLNZTE9P4/nz5647JnZoEeTn/6YgL31qNptYWVmBqqp4+PAhkskkDg4OBvo7I5GIE8jYdF2HoiiQZRmrq6uo1+uIRqPOz2UyGRq4E1+ioIY9YbuGvckOxlsrHAzDcMKbUqmESqUCjuOcn8tkMpAkaSivW9jfH7/wUvlES58IBTWka50GTYIgBL4fS7s+NJ0uinY4QU4GOIZhBHL5j11ZZZom3nnnHUiSdOpnwlBd8qYgLn2yLAulUgmbm5uuiqlREQQBExMTmJiYcB5TVdUJb7a2ttBsNl27nGQyGSqPJ8yjoIY99J6cxvP8qQDdMAwoigJFUVAoFFCr1Vwhjx3e9Pu1pGbC/uBl1ydqJkxotEb6IhqNBrqi5qw+NJ2EIbzqVhBDK8MwsLGxgb29vY6VVUA4g5qgPefj42O8fPkSExMTePbsGbNhRzweRzwedz6P9i4nsizj6OgI6+vrMAzD6XfDYq8FQigUYA9VbHSH53mMj49jfHzcecyuflQUBevr66jVahAEwRXe9Lp01TRNOo/7gNddn65cuTLgIyIsY3OkSXxHEASoqjrqw+i78/rQdMLzPC19+j88zwdm0m5ZFg4ODpDL5XDlypVzK6uA4IUW3Tivia5faJqGXC6HSqWCBw8e+O7uVusuJ3NzcwDcvRa2t7dd5fr23eFB3PElpFsU1LCHgpqLa1f9qGmaU/14cHDgLF21z8PpdBqiKHb9PQj68vKg8LLrU6VS8d2Yg/QXBTWka+ctfapWq0M8msHqtg9NJ1RR81pQKmqq1SqWl5cRjUbx3nvvQRTFrv5eUJ6/F34Pp1qXOr711lu4f/9+YCaOrWX48/PzAF6X68uy7Lrj+2a/m6C8BoRtQQh5g4aCmv6KRqOYnJzE5OSk81iz2XTOw7u7u2g0GojFYq7w5qzzMFXU+IPXXZ+oR024UVBD+iIojXO99qHphCpqXrN71PiVrutYXV1FuVzG4uKi665YN/weWlyEn5sJK4qCly9fIpVKdb3UsR9GWUXQrly/ddKws7ODRqMBURRd4U0Q+04RNlAoyBaqchq8WCyGqakpTE1NOY+19h3b3t6GqqqIx+NOcJPJZBCLxaiixie8VNQoikK7PoUcBTWkL4IQ1FykD00nYZycn8WvFSWWZWFnZwfr6+u4fv06FhYWLjRQDeNnwY/NhHVdRz6fx/HxMe7fvx/6AdKbkwbLstBoNKAoCsrlMgqFAnRdhyRJTnCTTqfpri7pGYUC7KGKmtFo13fMDm+Oj49RKpXQbDahqiq2trYwNjaGdDqNWCw24iMn7Xj5HlFQQyioIV07b+mTX4OaXvrQdEKDzNf8GNTIsozl5WWkUik8ffq0p0FPGIMaPz1ny7Kwt7eH1dVVXL9+HYuLi337/nbbq8f+OZbPGxzHIZFIIJFIYGZmBsDJa2f3u9nb20M+n4dlWU6z4kwmg2QySRM84gnr34UwoqCGDRzHQRRFiKKIS5cuATj5vvz3f/83JEk6FaLby1zT6TRVQDLAy3lNlmVa+hRyFNSQvvBjUNOPPjSkO34KaprNJnK5HKrVKu7du9eXuxl+Ci36xS9Ln6rVKl6+fAlRFHsK5HoNWvzafJnjOKRSKVfAbRgGKpUKZFnG5uYmqtWqs41tv3Y4IcFGQQ17KKhhF8dx4DjOaRgPnN7xb2NjA7quI5lMusIbVncwDCov13nqUUPo20m6FpSKmn72oSHd8cOuT5ZloVgsolgs4tatW1haWurbRMFPQVW/sB48GIaBtbU1HB4e4t69e577DrUTxqCmHZ7nMTY25hpgtu5wsr+/7zTJbO13Q6X6xEZBDXvoPfGXdjv+WZaFWq3m7DS1trYG8/+zdy6hseT39T/V77feb933Qy3NzL1z75WuNIuAvTAhQ5idg8nSGEzwwjgQ4028MGQTTBbBEAJJCMYYh4SADQGDvbA3wR5P4sT4P91St7oldevVelZVv7se/4Xyq6mSWlJ1q6u7uuv7gQu2Ro+qru6q+p0653wVRRNvYrEYIpEIxVctotXPUK1WQzAYtHCLCLtDQg3REfrl6Xmne2jMQDc3F++PRqPR6824lrOzMySTSYyNjWF1dbXjT5ic6KixM4VCAalUCvPz81hdXe2IUHvXc+AgCTXNaDbhpFarQRAE8DyPXC6HRqOBYDBo6Luhp73OhK6b9kNRFPo89jkcxyEcDiMcDmNmZgbAxXEtlUoQRREHBwcQRVGLr+rFG3qgeXdacaWx+wE6DzobOuMSLdGviwmremhugzkpnH5zY1dHSbVaxfr6OiRJwosXLxAOhy35OyTU2INyuYxkMgm3243l5WX4/f6O/e5+PTf2Er/fj4mJCUPPArPqX37ay8QbWjAQRG+g6NNg4nK5tBgUQ1EUFItFiKKI3d1dFItFLebKRHTqHmudViY+MUiocTbOXj0SA0+ve2hYJIyEGnsJNYqiYGtrCwcHB3j69KlWjGoVJNT0FkVRkM1mcXh4iIWFBcPo005xV6GGhJ7mVn32tFcQBMOCQd93EwqF6GZ2wCBHjf0goca+dPra4XK5NHF8bm4OwGfdY6IoIpfLoVQqgeM47TzMxBv63F6PJEmmY2VOvx8gLnD26pFomZsWE2wcrx0u5HbpobGbQNEr7NRRc3R0hFQqhenp6a69L+we/Rpkjo+PsbGxYfnxJqHGGvRPe9mCQZIkiKIIURSRzWZRLpfh9XoN4o3f76cFQx9DQo39oGNiX7pxbJp1j0mSpBXHb29vXymOj0ajJKTraMVhXyqVLHN5E/0DCTVEx2DukV4XQvaih+Y6PB4PCTWwh2Clj728fv0agUCga3/b7XajWq127e8RF7G2ZDIJVVXx6tUrywv5mFB9l58nocYcHo8HIyMjhgLoer0OQRAgCAL29/dRrVav9N3QaNr+gUQB+2GXB3HEVWRZ7kkBsMfjwfDwMIaHh7WvMSFdEAQcHx+jXC7D4/EYxBunTv1rxWEvCIIhjkY4ExJqiI7Ra6GmVz00N+F2u/tmGpaVuFyungk1kiQhk8ng5OQECwsLhjLTbkHRp+6hKAp2dnawt7eHZ8+eaf0nVkOOmt7i8/kwPj6uxVtVVUW1Wm06mlbfd0PTTewJCTX2g4Qa+6Ioim3OZc2E9EajAUEQIIoiCoUCKpWKI12QrQhqoigiFotZvEWE3SGhhmiJ20Z092Ix3usempsgR80FvXDUqKqKg4MDZDKZjk73aQcSaroDm941MTGB1dXVrt64Xie0mL3xJKGms3Ach2AwiGAwiKmpKQAXixk2mnZ/fx/FYhGqqmoLBVmW6RjYBBJq7IeqqiTU2BRZlm19bLxeL8bGxgz9cMwFyaZNVatV+P1+zXXDxJtBohVHjSiK5KghSKghOofH4+lqD4ddemhughw1F3RbqBFFEclkEsFgECsrKz2P45FQYy21Wg0bGxuo1+t4+fIlQqFQ17eBHDX2x+VyIRKJIBKJYHZ2FsBnBZmCIKBWq+G//uu/4PF4tIVCLBZDIBAg0aDL0GfBfiiKQp8Dm9Kr6NNduOyCBC6u5Uy82d3dRb1eRyAQMBQW9/p+7i60cpwEQSBHDUFCDdE5WPSpG9iph+Ym7NDNYge6VSbcaDSQSqUgiiLi8bih9K6XOFWoYeKDVTf3qqoil8shl8tp07t6tZAgoaU/0RdkHh4e4vXr15BlWVssHB4eolKpGBYLsVisrxcL/QKJAvaCok/2ZVCOjd/vx8TEhBZZZhFWURRxfn6OnZ0dNBoNBINBg3hj1zXAZSRJMv0giaJPBEBCDdEit0WfrBZq7NhDcxPddhnZFas7alRVRT6fx87ODh4+fIjFxUVb3eQ7VbBjBbtWPOnjeR6JRAIjIyNYXV01bSe2CnLUDA6XbfqqqmpPes/Pz5HL5dBoNBAKhQwFmb1+Dw4adjqHE4MjBgwi/eioMYM+wjo5OQng4nxcqVQgiqKhf6wfzsfUUUO0iv3exUTfYqVQY+cempugaT8XWHnDfX5+jmQyieHhYVss2JvhVEeNy+XquPjQaDSwsbGBcrlsK7H2JqHFjKuIhBr7wnEcAoEAAoGAYbHA+m4KhQI2NzehqioikYjmugmHw7SwJQYG6g2yL3YqE7YajuMQCoUQCoW0/jF2PhZFEUdHR8hkMpBlWSuPZ+JNr1+jVqc+9ctah7AO+61oCFtzm6OmUql09O/1Qw/NTTjVSdENWC9JrVaz1YK9GU4Wajq13/pzwaNHj7C0tGSrRQM5apwFx3EIh8MIh8OYmZkBcLFYYn03uVwOpVIJLpfLEJly6lhaov8hR419sXuZsNXoz8fT09MAjOXxh4eHSKfTUFXVIN50e/JfK46aYrGIJ0+eWLxFhN0hoYboGJ121PRLD81NdLO3xymw8cu7u7s97yUxi1OFGhZ9uiuiKCKRSCAajdr2PkRmswAAIABJREFUXEBCDeFyuTRBhiFJEkRRhCAI2NzcNIylZf8GbbIJMZiQUGNfBjX6dBf05fEMRVFQKpWuTP5jTkgm3lj1Pm/VUUPRJ4KEGqJjdEqU6Lcempug8dyd5fj4GBsbG5icnMTa2lrf3Jg4Vai5a/RJkiSkUikIgoDFxUVb37R0QqghBg+Px4ORkRGMjIxoX6vVapp4s7u7i1qthlAoZHDe2DHCSTgbEmrsCx0bczCHo37stSzLmnizu7uLYrEIjuMMY8JDoVBHXl9JkqijhmgJuhMgWsLKMuF+7aG5CRrPbaTdjHu5XMb6+joA4NWrVwgGg53eNEtxagSuXUeNqqo4ODhAJpPBgwcPEI/HbS9kdMIRQ44aZ+D3++H3+7VrHCvHFAQBJycnyGazkGUZkUhEWyh026JPEJehjhr7IsuyLZ2m/YDb7b7ihJRlWYux7uzsGGKsevGm1c+DLMumRXgSagiAhBqig7Qr1PR7D81NOHWB3gzmKmllsSHLMrLZLAqFAhYWFrQpLP2GU2Mt7TiJisUiEokEgsEgVlZW+mYM8nXuIbM3ck59jxDGckx9vwJ7yru3t2d4ysss+uFwmBbORFeh95s9oehTZ3G73RgaGsLQ0JD2NRZjFUUR2WwW5XIZHo/HIN6Y6SAz+xkSBMHw9wlnQkIN0THaEWoGoYfmJij69BlMtDJzM6GqKgqFAtLpNObm5vpevHPqzW0r0SdZlrG5uYmTkxMsLi5ieHjY4q3rPNRRQ3QK/dPbubk5ABefERaZ2tra0hYKl/tunHq+IQinQtEn62kWY200Gpp4o+8g0wvqgUBAOye3co0XRZGEGoKEGqI1OhV9GqQemptwuVwk1PwfbrfblLuCOSoCgQCWl5epaLOPMRt9KhQKSKVSmJ+fx9raWl8uNO/ax0NCDXEbbrcbw8PDBhGzXq9r4s3+/j6q1SoCgYBBvBm0ByAEQRghR01v8Hq9GB0dxejoqPY1/Tn54OAA1WoVPp8P0WgUkiShWq2aEtTL5TJCoZDVu0DYHBJqiJa5bkFhZnE1iD00N9GPC06ruC0GJkkS0uk0zs/PEY/H+9JRQRi5Tbwol8tIJBLwer19L8rR1CeiF/h8PoyNjWmxUFVVUa1WIYoizs7OsL29DUmSEAqFNOEmGo3Soo4gBggSauzD5XMycFEgz8T09fV11Go1+P1+zXkTDoebdi+SS4ogoYboCoPcQ0OY4zqhRv/eePDgARYWFkjgGhCu66hRFMXQPaR/GtWvkNBC2AGO4xAMBhEMBjE5OQng4hzL+m4ODw+RTqcNI2nZQoGuyQTRn1D0yd74/X4MDw8jFArh5cuXUFVVm/7H8zz+9V//FX//93+Pubk5vHjxAsvLy20Jbz/96U/x9a9/HbIs4ytf+Qq+9a1vNf2+f/u3f8MXv/hF/OY3v8Hy8vJdd4+wEBJqCMsZ9B4awhzNYmA8zyOZTCIWi9F7YwBpFn1iI9ZnZmawuro6MDeX5Kgh7ArHcYhEIoaIsX6qSS6XQ7FY1KaftFKMSRBE7yFHjf3RT3ziOA6BQACBQAATExP4sz/7M3z1q1/FxsYGfvWrX+EXv/gF8vk83n//fTx79gzLy8tYWVnB69evDR05l3//1772NfzsZz/D/Pw8VlZW8NFHH2FpacnwfaIo4m//9m+xurpq+T4Td4eEGqJlblpQsCfoLpfLMT00ZqCxlkZHTb1ex8bGBiqVCpaWlhCNRnu8dd3Bae8DffSpWq0imUwCAF6/fo1AINDLTes47Y4i1/88CTVEt2g21YQVYwqCgEKhoHUr6CNT/RxPJIhBpdWJmkT3kSTpxtHcLpcL8Xgc8Xgcf/Inf4JkMon//M//RDqdxieffIL/+I//wHe+8x0IgoB4PI7l5WV8/vOfx+vXrwEAH3/8MZ4+fYrHjx8DAL70pS/hxz/+8RWh5i//8i/xzW9+E9/97net21miY5BQQ3QUj8eDSqWCvb09x/TQ3AYTKG46QTsB9jpsb28jn8/jyZMnmJqacoxwwRbiTtlf4GKf2Yj1/f39gT4fkKOG6HeaFWOybgWe55HL5dBoNBAMBg3ijdOvbU6Azk32RpblgXGnDiqtuJ4EQUA0GoXL5cLz58/x/Plz/Omf/qn2e9bX1/Gb3/wGqVRKE2p2d3dx79497XfMz8/j17/+teH3/va3v0Uul8Mf//Efk1DTJ9DVlWiZ6xaaqqqi0Wjgv//7v/HgwQPqofk/2Ihup9/M1mo17O7uYnZ2Fmtra457+qN3mzmFarWKfD6vTXMa5H2/S8n6TT9PEL3E7/djYmICExMTAC6u85VKBYIg4OjoCJlMBoqiIBwOa+JNJBIZ6M+6E3HatavfUFWVjo/Nuc1Ro0cURcRisab/ze12Y2lp6YpT5rb7D0VR8I1vfAP//M//bH6jiZ7j7JUj0TFYD40sy1haWjK0nTsdt9sNSZIcaxlnEbhSqYR79+5ptkyncV2x7iBSq9Wwvr4Onudx//59PHr0qNebZDnkqCGcAMdxCIVCCIVCmJ6eBnCxAGBlxbu7uygWi+A4Tuu6icViCIVCpkVL+hzYD0VRHOUGJYhO04qj5iah5jrm5+eRy+W0/5/P5zE7O2v4nb///e/xuc99DgBwcHCAjz76CD/5yU+oUNjGkFBD3InLPTT5fL7Xm2Q7mKPGaciyjK2tLRweHuLZs2eo1WqOfB0Yt40nHwRUVUUul0Mul8PTp08xNDTkmKd8JNQQTsXlciEajSIajWJubg7AxdNjURQhiiKy2SzK5TK8Xq+hrNjv9zdd/DstItoPkGODIO5GK44aQRBaFmpWVlaQSqWQzWYxNzeHH/3oR/jhD3+o/fehoSEcHx9r//9zn/scvvvd75JIY3NIqCFahuM4SJKEbDZ7pYfG4/FAkqQeb6G9YI4ap6CqKo6OjpBKpbSYk8vlwv7+Pur1eq83r2cMuqPm/PwcyWQSo6OjWrQtn88P9D7ruWuZMEEMEh6PByMjI4YJJfV6HYIgQBAE7O/vo1qtan03TLzxer0k1NgQij4RxN1opQKhHUeNx+PB9773PfzhH/4hZFnGl7/8Zbzzzjv49re/jeXlZXz00UftbDbRY0ioIVrm5OQEv//973Hv3r0rvRMk1FzFCU4KRqlUQjKZhNfrxZs3bwyTfZz0OjRjUIUa/QSvy9PdnCRekKOGIG7G5/NhfHxce7Cjqiqq1SoEQcDp6Sm2t7chSRKCwSDq9Tp4nkckEnFcn5kdIaGGIO6GJEmmp12246gBgA8//BAffvih4Wvf+c53mn7vL37xi5Z/P9F9SKghWiYSieDt27fwer1X/hsJNVdxQvRJkiRsbm7i9PQU8Xjc8BSV4Xa7HbNob8agCTWqqmJ3dxfb29t4/PgxpqenrzwFH7R9volOCDVOea0IArh4zweDQQSDQUxNTQG4EAQEQUAikcD+/j6KxSJUVTX03YTDYXLcdBnqqLEvdGz6g1anPg0NDVm8RUQ/QEIN0TKBQACNRqPpf/N4PKjVal3eInszyNEnVVWxv7+PbDarOayuu2FwuVwDL1jdxCCJFmwhFYvFsLq6eq2d1+VyOcYlQo4agrg7LpcL4XAYgUAA8XgcwMUCp1gsQhAEbG9vo1QqwePxGMSbQCBAi1ULoY4a+0Jup/6g1alP9+/ft3iLiH6AhBqio5Cj5iqDGvkRBAHJZBKRSAQrKyvw+Xw3fv+gvg5mGYT9lyQJqVQKgiBgaWkJ0Wj0xu93kkuEhBqC6AyXO2rcbjeGhoYMT5gbjQYEQYAoijg8PESlUkEgEDCIN7ddkwjzkBhgX1pxahC9Q5IkS6c+EYMJCTVEy9z01IqEmqsMmsuoXq8jlUqhVCohHo+bvpgMglBxF/rZUaN3Tj148ADxeNzU0+t+3udWuck9RE/6CcI8ZsqEvV4vxsbGMDY2pv1MrVaDIAg4Pz9HLpdDo9FAKBTSyoqj0ajpJ9qEERJq7AsJNf2B1WXCxGBCVyyio3g8nmtjUU5lUAQK/ejlR48eYWlpqaUF6KC8Du3Sr6JFsVhEIpFAKBQy5ZzS4ySXCDlqCKIztDP1ieM4BAIBBAIBTE5Oar+nXC5DEAQUCgVsbm5CVVVEIhFD3w0JELdDk7jsC4lo/UGr0ScSagiAhBqiwzihOLdVBsFldHZ2po1evqmT5CaoTLi/hBpWEH12dobFxcW2iu36bZ/vCgk1BHF3OiUKcByHcDiMcDiMmZkZABeLWtZ3k8vlUCqV4HK5DJGpYDBIosQlSAywL+So6Q9a+QyJokhlwgQAEmqINrjpBsbr9ZKj5hL97CSpVqtYX1+HJEl48eIFwuFw27+rn1+HTtAvooWqqigUCkin07h37x6eP3/e9qLFSWXCN+2rmYUnCTUEcYGV7g2Xy6UJMgxJkiCKIgRBwObmJiqVCrxer/Z9sVgMfr/fku3pF0iosS+KopBQ0we0cl4joYZgkFBDtMV1i4p+WYx2k350GSmKgq2tLRwcHODp06ealfwuOKlYthn9IFSVy2UkEgl4vV4sLy/feXHipGN+k9Bi5uaMhBqCuKDbnwOPx4ORkRGMjIxoX6vVapp4s7u7i1qthmAwaBBvnNR3Q0KNfZFlmY5NH9CK+FwqlRCJRCzcGqJfcM5VhugKZBe+Sr+N5z46OkIqlcLU1BTW1tY6dgPg9PeGy+WyrdtMlmVks1kcHR1hYWEBo6OjHfm9ThJurxNazL7vSaghiM/o9fXC7/fD7/djfHwcwIV4VKlUIAgCTk5OkM1mIcsyIpGIFpuKRCID62ygjhr7QtGn/qCV67uqqnRMCQAk1BCE5fSDkwK4cFMkk0m43W68fv0agUCg15s0UNhVtGDC3MzMDFZXVzv6ZM5J0adOCC1Oea0I4ibsKApwHIdQKIRQKITp6WkAFy6TUqkEQRCwt7eHYrEIjuM04SYajSIcDttuX9qBHDX2hY6N/WnlGNF9AKGHhBqiLW5blNjxRqtX2F2okSQJ2WwWx8fHHXVTEEbsJtRUKhUkk0lwHGeZMOe06NNd9pXOlwRxQb/cP7AS4mg0irm5OQAX7gYWmdra2kK5XIbH49HiUtFoFIFAoC/2T4+iKI6KevUT5KixP61MfGL02zmCsAY66xIdhwkTdFG/wK4nW1VVcXBwgEwmg/n5+Y67KQgjdhFqFEXB9vY29vf38fz5c83abwXkqLmAyoQJwjz9ItQ0w+12Y3h4GMPDw9rX6vW6Jt7s7++jWq0iEAgY+m68Xm8Pt/p2+vmYDDqKotj+/eN0WhHTarUafD6fxVtE9Au0kiY6DhtHTUKNfRFFEclkEsFgECsrK129KDj1hs8OzqrT01Mkk8mO9w9dh9McNVQmTBB3Z9CuET6fD2NjYxgbGwNwsX/VahWiKOLs7Azb29uQJAmhUMjgvLGTS4LiNfaFyoTtTytrIkEQEI1GLd4iol+glTTRFjfdRDGhhrAfjUYD6XQagiAgHo93ffyfk91WvXTU1Go1bcz6+++/j1Ao1JW/axcXUTe4q9BCQg1BXDBoQs1lOI5DMBhEMBjUJiqqqopSqQRRFHF4eIh0Og1VVRGJRDTxJhwO92xBTkKNfaHok/2RJMn0MRJFEbFYzOItIvoF562WCMshoaY5vbz5VFUV+XweOzs7ePjwIeLxeE+2xe12O2bhfpleiBaqqmJnZwf5fB7Pnj3ryJj1VqDoU/d+niAGhUEXaprBcRwikQgikQhmZmYAXCzAi8UiBEFALpdDsViE2+3WHDexWAzBYLArrxUJNfZFURQSamxOKw8oBUEgoYbQIKGGaAty1LRGL50k5+fnSCaTGB4exurqak/dLHaI//SKbgs15+fnSCQSGB8fx9raWk9u5Cj61L2fJwhisHC73RgaGjI4XxuNhtZ3c3R0hEqlAp/PZ4hM+f3+jm+LE8WzfoGiT/anVUcNRZ8IBgk1RMchoeYqHo+n60JNrVbDxsYGarUa3n33XUQika797etwuVwk1FhMvV7HxsYGqtUqXrx4gXA4bPnfvA4n3diT0EIQnYFEgevxer0YHR01TGes1WoQBAE8zyOXy6Fer1/pu7nrvQc5auwLRZ/sDzlqiHYhoYboOCTUXMXtdkOSJEuedF1GURTs7Oxgd3cXT58+xeTkpG1uep3sqLF63/XxtidPnmBqaso2x90JkKOGIDoDCTWt4ff7MTExgYmJCQAXr1+lUtFcN5lMBrIsG/puIpFIS8ILCTX2haJP9keWZdNDO6ijhtBDQg3RFrdFnxqNRhe3xv50S6A4Pj7GxsYGJicnexZ3uQknCzVWOmoEQUAikcDQ0FDP421OhYQagugMJNTcDY7jEAqFEAqFMD09DeBiMV8qlSAIAnZ3d1EsFsFxnNZ1E4vFEAqFrn3dSaixLxR9sj9sqpsZSKgh9NDdPNFxvF4vyuVyrzfDVrDok1VUKhUkk0kAwKtXrxAMBi37W3eBhJrOCjWNRgOpVArFYhFLS0uUa+4hJNQQRGcgoabzuFwuRKNRRKNRzM3NAbhYPIqiCFEUkc1mUS6X4fV6DeKN3+/Xzk10TOwJOWrsT6sdNUxgJQgSaoiOw2I+xGdY9ZrIsoxsNotCoYCFhQWMjY11/G90EidPferkQlxVVezv7yObzeLhw4dYXFykm+gec9cJVyTUEMQFJAp0B4/Hg5GREYyMjGhfq9frEAQBgiBgf38f1WoVwWAQ5XIZgiDA6/XC6/X2cKuJyyiKQp8Xm9NKR40oioYCccLZkFBDtMVNFwWv10tCzSU67SRRVRWFQgHpdBpzc3NYW1vrC+urk8uEO3UjVSwWkUgkEA6H8fbtW7pptgkktBAE0e/4fD6Mj49jfHwcwMW9RrVaxe9+9zvwPI+9vT1IkoRwOGzouyFHR28hocbeSJLUklBD0SeCQUIN0XGoTPgqnXxN2EI9EAhgeXm5KwXFncLJ0ae7IkkSNjc3cXZ2hsXFRXriYjMo+kQQnYEcAvaB4zgEg0F4vV48efIEHo8HiqJoDpv9/X0Ui0Woqnql76YfHh4RRDdoZTIXCTWEHhJqiI5DQs1VOiFQSJKEdDqN8/NzxONxDA8Pd2jruofb7aai6RZRVRWHh4fY3NzEvXv38Pz5c1rE2BASagiic9A5zl7o42gulwuRSASRSASzs7MALhaixWIRgiBge3sbpVIJHo/HIN4EAgE6roQjadVRQw/iCAYJNURb3Db1iYQaIx6PB7Vara2fVVUVe3t72NrawoMHD7CwsNC3Nztut7vt18GJlEolJJNJ+Hw+rKysmB7vaDec0jlBQg1B3B2nnC/6idumPrndbgwNDRkWmI1GA6IoQhAEHB4eolKpIBAIGMSbfr2mEUQrqKpq2mEmCAI5aggNEmqItrluYXHXUs1BpF1HDc/zSCaTiMViA9FHQtEnc8iyjEwmg+PjY8TjcUPZY7/hlIkhN+2fmX0noYYgLnDC+aIfafWYeL1ejI6OYnR0FMDFca3VahAEATzPI5fLodFoIBQKIRaLaVOpzDoPiLs9HCC6RyvHiaJPhB46GxJEF2h1PHe9XsfGxgYqlcpAjV12cpkw47ZFyNHRETY2NjA3N4fV1dW+z/mzseT9vh9WQ0INQVxAQs1gwnEcAoEAAoEAJicnAVwca9Z3UygUsLm5CVVVEYlENNdNOBym68c1tNJ9QvQHiqKQWElo0DuBaBtaWJjH7HhuRVGQy+WQz+fx5MkTTE1NDdQNq9MdNTe5SyqVCpLJJDiOw5s3bxAIBHqwhZ3HyQ47RVGwtbWFfD4Pn8+nLTxisRj8fr/hfUDnU4K4oJWYANHfcByHcDiMcDiMmZkZABfnTdZ3k8vlUCqV4HK5DJGpYDA4UPdG7aIoCgk1NqcV4ZnuAYjLkFBDWAY9FfsMMwLF6ekp1tfXMT4+jrW1tYG8+DpdqHG73VfcJWwxf3BwgIWFBYyNjfVwCzsPx3FQFKXXm9F1zs7OkEwmMTExgZWVFSiKAkEQtEkp1WoVwWAQsVgMQ0NDCIfDvd5kgrAFtFhxNi6XSxNkGJIkaX03m5ubqFQq8Hq9V8RvpyHLMomaNqcdRzGtnQgGCTWEJbBC4X7vVOkUNxUsVyoVrK+vQ1EUvHz5EqFQqMtb1z2YUOFUWPSL2VpPTk6wvr6OqakprK2tDeQNl9McNY1GAxsbGyiXy3jx4gVCoRDq9TrcbjfGxsY0IU5VVVQqFQiCgKOjI2xubqJYLCKRSGBoaEiz/NMNG+FE6H1P6PF4PBgZGTH0tdVqNU282d3dRa1W08Rv1nkz6PegFH2yP61MfGo0GhR7IgzQu4FoGzOTnwb9ImmWZk4SWZaxtbWFw8NDPHv2DBMTEz3auu7h9I4a1tdSrVY1ce7Vq1cIBoO93jTLYPs86KiqikajgY8//hiPHj3C0tLSjXEmjuMQCoUQCoUwPT0NVVXxm9/8BrOzs1dG3DLhxqlPjQlnQW5cwgx+vx9+vx/j4+MAjOL3yckJstksZFlGOBzWzp+RSGSghA2KPtkfSZJMHyNRFAemk5LoDCTUEJZAI7qNXBZqCoUCUqkUZmdnB9ZJ0QynR584jkMul8PR0RGePXumFSoOMk6IPpXLZXz66aeQJAkffPBB05Gzty0+OY4Dx3FXRtzW63UtMpXP59FoNBAMBjXxJhqN0o06MVCQUEO0w2XxG7gQMkqlEgRBwN7eHorFIjiO0yZM9btzkaJP9kfvor4NGs1NXIaEGsISSKgxwm4CSqUSkskkvF7vQBXGmsXJQs3Z2RlOT0/h8/kGtoOoGYMcfdL3C8XjcSSTySsiDRNg2n0NfD4fxsfHDU+N2ZSUw8NDpNNpADAUbYZCob5deBAECTX2op/P36yEOBqNYm5uDsDFwplFpra2tlAul+HxeAyRqUAg0BfvQYo+2Z9WHTUk1BB6SKgh2uami5jX6yWhRockSahWq/jd736HeDxuyFk7iUFetF8HG7VerVYxNjaG+fl5R91YDaqjhpUFT05OdtUV12xKin7hkc1mUS6X4fV6DZGpZi4fgrAjJNTYi3bKUO2M2+3G8PAwhoeHta/V63XtHMrK3gOBgKGs2I5R/kE7NoMIOWqIu0BCDWEJHo8HjUaj15vRc1RVxf7+PrLZLFwuF9bW1ugG1CGoqop8Po+dnR1t1HoymXSco2jQOmpYWXClUsGLFy9undakqiokSdIWn+xfJ2+umy08arUaBEEAz/PY2dmBJEkIhUKaeDNoXQ3E4EBCjb1wwvHw+XxXyt7ZOfTs7Azb29vaOVTvvOn1OZQcNfanlTJhctQQlyGhhmibmy7cbrfb8Y4aQRCQTCYRiUSwsrKCTz75pNebRHQJnueRTCYxPDyM1dVV7SI9aKKFGe4S+7ETetFVXxZ80/criqKVPaqqqn2NLXxUVYXb7e64cANcFG1OTExoJeWqqmpdDfv7+xBFERzHGZ4YB4PBgV+QEfZnEM4Xg4QTXRscxyEQCCAQCGhdcuwcKoqiFjtVVRWRSEQ7h4bD4a6+VlQmbH9aEdNIqCEuQ0INYQlerxeVSqXXm9ET6vU6UqkUSqUS4vG4dtJl/Sw0em9waTQaSKVSKBaLWFpautLe70ShZhD2mZUFBwIBvH379kYLvF6MYYLM5c88E3DY9ymKgnK5DFmWIUmSJa4bjuMQiUQQiUQwOzsL4OJJH7P7b25uolwu94Xdnxh8SDC0D04UapqhP4fqY6fFYhGiKCKXy6FYLMLtdmuOG6sFcFmWKdZqc5gTywwUfSIuQytGwhKcWCasqipyuRxyuVzTJ+4k1Awuqqpib28PW1tbePToERYXF5vemA2CaNEq/dxLpCgKstksDg8Psbi4aKpbigkwNwktLpdL+2+qqmJ3dxe5XA5PnjwxdPqwmJz+d3VyweTxeDAyMmLYr2q1esXuHw6HDZEpWrQRVuKEqE0/QULN9bjd7iuT+hqNhiaAHx0doVKpwOfzGSJTfr+/I3+fok/2p1VHzaNHjyzeIqKfoBUj0TY33Ug5TahhxaKjo6OGqIsej8fjuH6SZrCF6KDc+ImiiEQigUgkcqvbwu12O1Ko6cd9Pjs7QyKRwNTU1K1lwcwVE4lE8Otf/xqxWAzDw8O3TmBiU+BYPFJ/3tC7bVRV1c4dsixbGpm6bPfXj7fd3d1FsViEy+UyuG76ZUIK0R+QUGMv6Hi0htfrxejoKEZHR7Wv6TvDcrkc6vX6lb6bdh7iDdK91KBCHTXEXSChhrAEpwg11WoVGxsbaDQatxaLUm/PBUys6PebC0mSkE6nwfM84vG44YnadbhcLseJdf029anRaGB9fR3VahXvv//+rZZlJqKoqoqlpSUoiqLdkKfTaZTLZfj9fu2p69DQENxuN7LZLE5OTrCwsND0vcM+H/oncc0iU+xvu1wuSyJTzcbbSpIEQRC0EeHNJqSQc5BoFxIG7MUgXK97TbPOsEqlorluMpkMZFk29N2YcS+So8b+UEcNcRfoToqwhEEXahRFwdbWFvb39/Hs2TPt6fNNsOiT0+n3CJiqqjg8PMTm5ibu37+PhYUF04sKJwo1/RJ90pcFP378GNPT06bLggFoIonb7W4aJ+J5Hqenp0ilUiiXy1rPQSsOM31kCjC6bvTb0o3IlP6JsaqqWmTq5OQE2WwWiqIYIlPdLtkk+hcSauwFCTWdh+M4hEIhhEIhTE9PA2juXuQ4Tuu6aebQJKHG/pCjhrgL/blSImyBU6NPR0dHSKVSWiTC7EVykF+TVuhnsaJUKiGRSCAQCGBlZaXlEj+Xy+W4sfX94KgplUr49NNPEQqFTJUFX57edNuiMhAIwOVy4fj4GIFAAC9evIAsy9robFZAqXfd+P3+W3/vda4bvXijj0yxn7GiqDgYDCIYDGJqakrbjmKxCEEQtJJNj8djcN2Y2UfCeZBQYy9Y5xZhLde5F0VRhCiKyGazKJfL8Hq9mnjTaDTo2NjWv32KAAAgAElEQVScVh01ZtzZhHMgoYa4E9eN3h1EUaJcLiOZTMLlcuH169cIBAIt/Tw5ai7ox9dBlmVkMhkcHx8jHo+bKpVtRr/2tdwFO+8zKwsuFAqmjqteADErdqiqioODA2xtbeHx48eYnJzUbqxjsRju3bsH4CJyxSJTe3t7qFarCAaDmnBjNk50WbzRu2zY9rP/D3zmBLIiMsUEGQbbRzYivFqtdqSngRgsSKixFyxaSXSfZoXv9XpdO4/yPI/f//73CIVCBucNTeuzD+SoIe4C3RERljBIN1n6RfrCwoKhIK4VBlG8aod+K9QtFApIpVKYm5vD6urqnW5Y+23fO4FdHTWnp6dIJpOYnp6+9bheF3O6DSbuBoNBLC8v33jz7PV6MTY2hrGxMe1vVioV8DyPQqGAdDoNVVURjUY18SYcDpt23VwXmbos3lhZVHzdPrKehs3NTaiqikgkYohMDdL1hCD6DYo+2Qufz4fx8XGMj4+D53m88847kGUZgiDg9PTUMK1P33dDEaneYfYaRo4a4jIk1BDENbAn4ZlMBvPz8x1ZpPebk8QK+uV1qFQqSCQScLvdePPmTcsOqmb0c+yrXewW96rX69jY2GirLNisQKMoCra3t1EoFLCwsIDh4eGWt1PfYTAzMwPgQkgRRRE8zyOTyaBUKsHn8xkiU2bieDdFpvTOG/171arI1OWeBlmWtcjU9vY2SqUSvF7vlcgUMbiQo8ZeUPTJviiKArfbDZ/PdyV6Wi6XNfdisVjUhH593w0JcPZCkqSWI/XEYENCDXEnros+9TuiKGpPwtvpImmGx+NBvV7vwNb1N3YXalgc5vDwEAsLC9rT/05g5xiQVdilTLhTZcG3cX5+jvX1dUxOTmJlZaWjN8JutxvDw8MG4adWq4Hnea3vpl6vIxwOa+PBY7GY6aJi9jcAc5EpK4qK9V09DL3VP5/Po9FoXIlM0dPiwYGEGntB0Sf7cp3byeVyIRKJIBKJYHZ2FkBzEdzj8RjEm0AgQJ+9HmGH+yTCfpBQQ1hGK9NM7EKj0UA6nYYgCKZHLpuFxnNfYGdXycnJCdbX1zE9PY21tbWOv3edKtT0ep9ZWXA4HLakLBj47NxRqVTw3nvv3erU6RR+vx+Tk5Pa5DlVVVEqlbSum/X1dXAch1gspgkgwWCwI5EpfVGxlZEpvdWf7SN7Wnx4eIh0Og0AN05HIfoHEmrsRb/dxzkNs5+VZiJ4o9GAKIraubRSqSAQCBjOpeTwaJ92xBc69xF6SKghLIN1svTDSV5VVeTzeWxvb+PRo0eIx+MdP1na3UnSLez4OlSrVSSTSaiqilevXiEYDFryd+wgWnSbXnbUKIqCTCaDo6MjLC4u3hpBarcs+PDwENlsFg8fPrTk3NEKHMdpT1L1k0NY8aT+ZlxfVGymfPK6yBT7dzkyZVVRMcdxCIfDCIfDV2JhgiAYpqOw/aMFR/9AQo29IKFmcPF6vRgdHdW6F1VVRa1W064XuVzO4GBkU6mo9N0ckiSZdnvKskyfM+IK9Ekj7sRNN1Ner7cvhJrz83Mkk0kMDw9jbW3NsgsQlQlfYCehRlEU7OzsYG9vD8+ePcPExISlf8+JZcK9ij6xsuCZmRnLyoIrlQqSySR8Pt+tZcG9xOPxXLkZr1arEAQBx8fHyGQykGVZe4o6PDyMcDhsOjJltqgYsDYy1SwWdnnBoS/YjEajdGNsQ0iosResB4UYfDiOQyAQQCAQMLg0mYPxcuk7O49GIhE6lzZBluWWJj5FIhGLt4joN0ioISzD4/HYqkT0MrVaDRsbG6jVanj33XctP0HaSaDoJW632xZdPWdnZ0gmk5iYmMDq6mpXbkTtHPuyim47aur1OtbX11Gv11sqC2ZPjc2WBe/s7ODg4AALCwttj2vvFRzHIRgMXimfLBaL4Hke29vbKBaLBqv80NCQqULtm4qKmRimj0yxn7EiMuX3+zExMaEJsCwWxgo2NzY2tFhYLBbTtpPoPSTU2AfqqHE2zRyM7HrBesNKpRJcLpchMmUmYjvotDKaWxAEGs1NXIGEGuJO3HQStquDhC2ydnd38fTpU0xOTnblYuLxeBy3SG9Gr8UK/UL+5cuXXesSAZwZfeqWo0ZVVezt7WFrawtPnjzB1NRUS2XBZkUanuexvr6OsbExvH37dmAWMC6XS7vBvnfvHoCL/gJWVLy7u4tarYZQKGSITJkROK8rKtbHpoDPum7YsbAiMnW5YFOSJC0yVa1W8cknnyAQCBimTNnVKTWokFhmLyj6ZE96+TnRXy8Y+nPp5uYmKpWK4yf2ybJs+iGgKIok1BBXIKGGsAw7CjWsLHZychJra2tdtfNSmfAFvXIWqaqKXC6HXC5naiFvBU4UarrhqGm1LBhAyyO3JUlCOp1GqVTCO++8g3A43LHttyter7dpiS/rukmlUlBVVSsqjsViCIfDdy4qbibeWFVU7PF4MDIygpGRERwdHeH169falKmzszNsb29DkiTN5h+LxcjmbzEUfbIXJNTYE7sdF/25lFGr1TTxhon9wWDQED8dZCG8FUeNKIqIRqMWbxHRb5BQQ1iGnYQa1iUBwNKy2Jug6NMFvXgdeJ5HIpHAyMgIVldXe1aE50Shxsp97kZZMAAUCgVsbm7i/v37WFhYcOwiUm+B1498FUURPM8jk8mgVCrB5/MZIlNmesrMRKb0sSn2M1aIN5c7GhRF0SJTu7u7KBaLhifKNNa2s5BQYy/oeNiTVtwavcLv98Pv9xvE/kqlAkEQcHJygmw2C1mWDd1hkUjE9vtlllaOEUWfiGaQUEPcCbtHn2RZRjabRaFQwMLCAsbGxnq2LXSjc0E3C3UbjQZSqRRKpVJXeohuo1fFur3Eqn1m7jgry4LZNDCPx4M3b97Yvhi9F1xX4svzPM7Pz7G9vY1Go4FIJKIJN2ZLfK+LTDGXTbeKiln3QjQavTJJSz/WVv+kOBaL0WSUNiFhwF7YzblBXNAPQs1lOI5DKBRCKBTC9PQ0AKMQvre3h2KxCI7jtHOuWaemHWnVUUNCDXEZuosgLMPj8aBWq/Xkb6uqikKhgHQ6jbm5OaytrdGNhk3ohqNG31fy6NEjLC4u9uVFfhDodPRJ3zFkxh3XTlkwi8mxaWC9FHj7Eb/fj8nJScPUEFZUnM/nIYoiXC7XlaLiu0am2LEGuhOZum6SFntSrCiKITJldpKW0yGhxl6QUGNPBuW4NBPCmVNTEARsbW2hXC7D4/EYIlP94GJsdeoTCTXEZUioISyjV46aYrGIZDIJv9+P5eVlx5WX2R2ry4RFUUQikUA0Gr21r4Swnk45arpVFiyKIpLJJEZGRrCystJ3TyztiP7p6Pz8PIDPHCk8z+Pg4ACVSgWBQMAg3pi5wb0uMsX+sfeB3nVjVVHxdZO0BEFALpdDsVg0LDZYZIowQkKNvRgUQWDQ6EdHjVmaOTUbjYbmYtzf30e1WjUUv0ejUdu5XiVJMn2OFwRBuz4SBIOEGuJO2Cn6xMo+z8/PEY/Hb+2r6BVOvwm1ylHDjj/P81hcXKQnEzahEx01xWIRiUQC4XD41o6hdsuCZVnG5uam9v7pdUxu0LnOkcLzPI6Pj5HJZCDLMqLRqCbcRCIRU8fS5XLd6Lq5KTLVSZpNRrm82GhWrun0yJTT4qF2x+n3LHZlkIWaZni9XoyNjWkOV1VVUavVrhS/h0Ihw/m0l69RK8eoWCzSfStxBWffDRCW0i2hhj1pz2azePjwoa3LPlk/i5MurpfptFCjqioODg6QyWTw4MEDWx9/J3KX6JMsy8hkMjg+PsbS0hKGhoZu/P52y4KPjo6wubmJ+fl5PHv2jN4/PUDvSNF3F7Ci4q2tLZRKJXg8HoPrxoxj0kxRsSAIqNfrkCRJe+9YIeA0W2ywck32PlRVVetm6Od+hrvgtP21M+SosSdOPy4cx10pfmeTCVl3WDqdhqqqPYugttpRc9s9DuE8SKgh7kSvHTU8zyOZTCIWi2F1ddX2MRc2otvpQk2nOkvYWOZgMIiVlRXb2V6J9qNPrCx4dnbWsrLgWq2G9fV1ABfT4CgmaS/0PTaMer0OnuchCALy+TxqtZo2MYSNCDdzfmXvJ47jkMvlcHx8jPfeew9er/dKZEpVVU24sSIydblcU5ZlLTK1vb1tEKjYYmPQ36sk1NgHpwsCdsVpjhoz6CcTzszMAPjsfCqKohZBdbvdmuMmFoshGAxacs5p5RhRRw3RDBJqCMuwUqip1+vY2NhApVLB0tISotGoJX+n09CI7osL6V2t7SymcnJyYmoss91wkpW8VUdNvV5HMpmEJEmWlgXn83ns7u7i6dOn2uhQwv74fD5MTExgYmICwGdPUFnXzcbGhtaJw0SeUCjU9H3BhP7JyUksLy9fWYw2Gw8OfBaZssp143a7mwpULDKVz+fRaDRsZfEnBhcmVBL2wunubLM0O5/qp/YdHR2hUqnA5/MZxJtOiOE09Ym4KyTUEHfmuoW3FaKEoijI5XLI5/OmCkXthh1Glvc7hUIBqVQK8/PzWFtb66vjD3zW2eKUGyyzwpyqqtjd3cX29jaePn2KyclJS8qCWd/N0NAQlQUPAPonqLOzswAuhBRWVJxOp1Eul+H3+w1dNzs7OxAEAe+++y7C4XDT320mMqUvKmY/Y4V44/P5MD4+romKzSz+AAyRqesEKoJoBRYlJeyFLMskoLXJ5Y40AFrfjV4Mv2t/WCsOekEQKPpEXIGEGsIyOn1hPz09xfr6OsbHx28tFLUr5Khpn3K5jGQyCY/H09fTvJwo1NxGsVjEp59+img0auqzzVw0rZYFZzIZrWy8X1x4ROu43W6MjIxgZGRE+xorKt7b28Px8TE8Hg9GRkZwenoKSZIQjUZNLXouizd6l811RcVWRaaaWfzZSNtsNotyuQyv12uITFE8lGgVij7ZE1mW6fPcQfx+/xW3pr4/jBXc6/tuIpHIjZ+NVu71qKOGaEb/rXQJ29GJKMtNVKtVJJNJKIqCly9fIhQKWfa3rIYcNa2jKAqy2SwODw8Rj8cNT0D6kU5MQRoUulUWfHJyglQqhdnZWSwvL9PTYQfidrtxcnICWZbxwQcfwO/3o1Qqged55PN5iKKo9RYw500gELj1vcLeg7dNmWKioqqqcLvdlkWmLo+0ZU+JeZ5HLpdDo9HQOn3YU2JahBM3QUKNPaHjYi3N+sMURUGpVIIgCNjd3UWxWNSittc5Gc3eb9RqNdOjvAnnQEINYTnt9nHIsoytrS0cHh7i2bNnmsrdz5Cj5jPMvC+Oj4+xsbGBmZkZrK2tDcRNSSfLlPuZbpQFsy4rWZbx/vvv002QQzk6OkI6ncbDhw8xPT2tvXei0Sii0Sjm5+cBfDY6m+d57O/vo1qtIhgMasJNLBYz5eS8LjLF/rH3M5swZZXrBmj+lJgtNPb29rSFBltkWFmsSfQv9H6wH1Qm3H1cLpd23ZibmwNwEW8SRRGiKGpORo/Hg1gshkajgWq1Cr/ff2uUmyCaQUINYSlMmGg1psR6SGZnZwdmgQ6QUMNgT5avu3AxF5WqqqYKZfsJjuMc/R5gk5ZaLQtuJeakqir29vaws7ODJ0+eaKM7CWfBiqkB4M2bN7fGBK4bnc3zPAqFgjbqlT09HR4eNj062+VyXXHdADdHppq5de4Kx3GIRCKIRCJapw9baAiCgM3NTZTLZQQCAYN4Y/eJigThNJwUobYzLEarj9qy8vf9/X2sr69roj+7dkSj0abXIxJEicuQUEPcGTMjus0KNaVSCclkEl6vF2/evBm4J+AUfbqACVbNpqxsb29jf39/YFxUl3Gqo+ZyWfDU1NSt39+Oi4adQ8LhMFZWVvqyy4q4G6qq4uDgAFtbW3cS6vTWd9YDoygKRFEEz/PIZrMoFotaDwz7Z6Y/y0xkiok2TMyxKjJ1eaGhqqoWmTo7O8P29jYkSWqpm4EgCGuhMmH74vP5MDo6imAwiJcvX0JVVVSrVQiCgNPTU3z/+9/H97//fTx58gSvXr3C27dv2xLdfvrTn+LrX/86ZFnGV77yFXzrW98y/Pe/+Zu/wT/8wz/A4/FgYmIC//RP/4QHDx50ajeJLkB3sISlmBUmJEnC5uYmTk9PEY/HDcr0IOF2u1Gv13u9GT2HCTX6p7SsLHpiYgKrq6sD+6TIiR01sizjN7/5jaVlwazL6OTkBAsLC1TK51Cq1SoSiQT8fj+Wl5c77gRxuVxNR2fzPK/1wNTrdYTDYe37zI7ONhuZYp8NNmHKiqLiQCCAQCCgiVz6boZ8Po9SqQSXy2Vw3Zjp9CEIojNQ9Mne6B9ScxyHYDCIYDCIqakpfOMb38DXvvY1/O///i9+9atf4fvf/z52dnbw9u1bTbhZWVnB0tLStfdLsizja1/7Gn72s59hfn4eKysr+Oijj7C0tKR9z6tXr/DJJ58gFArh7/7u7/DNb34T//Iv/9KV/Sc6Awk1hKXcJtSoqor9/X1ks1ncu3evL8cttwI5ai7QR8BYFKbRaPR9WbQZnCTUyLKMzc1NVKtVvHjxwrKy4NPTU2xsbGB6ehrLy8v0lNGBqKqKfD6P3d1dPH/+vKul4z6fr2kPDJsyJYqi1gPDum7Mjs5uFpm6PB4csD4ydV03Axtne3h4iEqlYhhna7bThyCI1qEyYXtzm5Dm8/mwsrKClZUV5PN5/Pmf/zn+/d//Hf/zP/+Djz/+GH/913+N//f//h+i0ShWVlbw9u1b/MEf/IEWWf3444/x9OlTPH78GADwpS99CT/+8Y8NQs3nP/957X+vra3hBz/4gUV7S1gFXUGJO2Mm+tQMQRCQTCYRiUSwsrLiiDGD1FFzAXsddnZ2kMvl8PTpU0xOTg60SMdwilDDiqBnZ2cRCoVuFGnajTk1Gg1sbGygXq/j5cuXA9VlRJinVCohkUggFothZWWl50+Z9T0wzUSNdDqNcrkMv99viEyZcf9c57rRf4b0kSn2M1ZFpkZHRzVRTG/vPzk5QTabhaIohshUOBymxSVBdABy1NibVmofRFHUitw/+OADfPDBB9p/Ozs7wyeffIKPP/4YwWAQH330EQBgd3cX9+7d075vfn4ev/71r6/9G//4j/+IP/qjP2pzb4heQUINYSnNhJp6vY5UKoVSqYR4PI5YLNajres+Ho+HhBpcXMB+97vfYXJy0lQUZpAYdKGmVqshmUxCURS8fv0agUAA+/v715ZHt1sWzDpIHj9+7BiRjzDCOq0KhQLi8bit426XRQ3gIqbF8zxOT0+RzWYhyzIikYgm3Jjtgbks3pgpKrYqMqW397NtKRaLEAQBOzs7KJVK2kQUfWSKIIjWIKHG3rRyfJhQ04yRkRF84QtfwBe+8AXD15tNirruPugHP/gBPvnkE/zyl780tT2EfXDO6oiwDLOOGlVVkcvlkMvl8OjRIywtLTluceV2ux0dfWIiHc/zePr0qTYW10kMqquKRU92dnbw7NkzQ4Erx3FXJlS066Ipl8tIJpMIBoOWdJAQ/YEoikgkEhgfH8fKykpfujRYD8xlUYPneezs7KBYLMLtdl8pKr7tc2KmqPiymGNVUbG+x+byGHQ2FaVarSIUCmnfR6Nq7QMdC/tC0Sd704qjRhCElh9az8/PI5fLaf8/n89rsSg9P//5z/FXf/VX+OUvf2mq6J6wFyTUEJbi8XjQaDRwdnaGZDKJ0dFRxzko9AzqIv029BN/Hj9+DK/X64ioWzMG0VEjiiI+/fRTDA0NNf18u1wuww1/u2XBzD2xsLCA4eHhju8HYX9kWUY2m8XZ2RmWlpYQiUR6vUkdQy9qMEs7EzXOz8+xt7dnEDVY342Z6+lNkSm980Z/fbIqMnXdGHRBEHB0dIRyuayVj+sjU057sGMHrnNCEvaAjo19kSSpJUdNq47QlZUVpFIpZLNZzM3N4Uc/+hF++MMfGr7nt7/9Lb761a/ipz/9advTD4ne4szVMtE12AL95OQEL168QDgc7vUm9RQnlgmzRXwsFtMW8ZVKZeDECrMMklDDyoJPT0+xtLR07RMh5qhptyz4/Pwc6+vrmJyc7Fv3BHF3zs7OsL6+jtnZWSwvLztikXKdqMHzPAqFAtLpNFRVRTQa1Vw3ZkWNdiJTVhQV68egT09Pg+d5vH79WotMbW1toVwuw+v1GiJT9HTYesi1QRDtIctyS46aaDTa0u/3eDz43ve+hz/8wz+ELMv48pe/jHfeeQff/va3sby8jI8++gh/8Rd/gWKxiC9+8YsAgPv37+MnP/lJy/tC9A4Saog70+yGkD39zuVyiEQieP36dQ+2zH44yVEjSRJSqRQEQcDi4qJhEe+k1+EyLpdrIPb96OgIGxsbmJ+fx+rq6o0LQ5fLBUmStO9ppSw4nU6jUqngvffeG/iJYERzJEnSCnidXhqtFzVmZmYAXCwIRFEEz/PIZDIolUrw+XyGyJQZB6OZyJS+qNiKyBRz3ukjX8xdVK/XtchUPp9Ho9EwRKbMjkEnzENCDUG0hyzLpp3jgiBgenq65b/x4Ycf4sMPPzR87Tvf+Y72v3/+85+3/DsJe0FCDdFxjo6OkEqlMDU1hffeew+7u7u93iTb4IQnwKzoNZPJ4MGDB4jH41f22+lCTaPR6PVmtI2+LPjNmze3FoGyxVwqlcLIyAiGh4dvFVxUVcXh4SGy2SwePnzY9D1EOIPj42OkUincv38fCwsL9D5ogtvtxvDwsCEOWKvVwPO81ndTr9e1omImbLRTVAzAMBr8cmTqrkXFN0VtfD4fxsfHMT4+rn1vuVzWxoOn02kAMESmzI5BJ5qjqioJNQTRBpIkmX64VCwWW3bUEM6AhBqiY7CST5fLhVevXiEYDKJUKjku6uNkisUiEokEQqHQjSPX+12suAv9KlLdVBZ83fezxVw8HtdKUpkzIhAIGJ74M4twpVJBMpmEz+ejsmAHU6/XsbGxAVmW8fr1a4q5tIjf78fk5KT2OVVVFaVSCTzPY29vD+vr6+A4Tuu6GRoaQjAYNB2Zus51oy8Ibycy1UonCsdxCIfDCIfDV9xFgiAgk8mgUqnA5/MZIlNO7UdrBxZTJewFlTzbn1anPtl5aiHRO0ioIe6MqqpIpVI4Pj7GwsKCYfyo1+t17ILcSUiShEwmg9PTU8Tj8VuLXvtVrOgE/dhRc1tZ8GUulwV7vV6MjIxgZGRE+++1Wg3n5+c4Pj5GJpOBLMvgOA71eh2PHz/G7OwsLRAciN5N9fjxY20iEnE3OI5DJBJBJBLB3NwcgIvztiAI4Hkeh4eHqFQqBgE1FouZEkpvKipmwo0+MsV+ppnr5q7ltde5i9h+7uzsQJIkhMNhQ2SKXCPNoeiTPaHjYn9amfp003huwtmQUEPcGfZU7smTJ1cuHE4szzXDoExSUFVVK7S8d+/erV0lDBJq+kOokWUZ6XRam7Bz242E2bJgjuMQCAQwPT2tlYcmk0lEIhGEw2GcnJxgZ2cHfr/f4Lohd81gU61WkUwm4fV6yU3VBTweD0ZHR7WHK6qqolqtgud5g4B6uai4ncjUTUXFLF7DSsc7jd/vx8TEBCYmJrT9LJVKEAQBe3t7KBaL2n0M+2fWXTTokCBgTxRFoT4mm9PK1Kd2xnMTzoCEGuLOcByH6enpplbMy2N5ic8W6v1+kS2Xy0gkEtqiqpVogtvt7huxotP0i1DDyoLv3buH58+f37ho0Qs0gPmyYFYSWyqV8O67716ZCscWjaenp8hms1cWjZFIhBZTAwCbDpjP5/Hs2TNtwhHRXTiOQzAYRDAY1IotFUXRYovb29soFovweDyGyNRtPVXA7UXF7B/P85qzrtNFxfr9ZO6i2dlZABfnIlbIXCgUUK1W4ff7DeKNE4VD6qixJ7Is03GxOa1MfaLoE3EdJNQQRJdhLqN+FWpkWUY2m8XR0dGVqJtZBmXyUTvYXahhrgYApsuC9TEns8JJoVDA5ubmjSWxgUAAgUBAi78oiqItpra2tlAqleD1eluebkPYByb4RiIRLC8vm76xJbqDy+XShAo2fanRaGhFxbu7u6jVagiFQobIlJnrm951I8syMpkMeJ5HPB6Hx+O5EptiP2OFeOPxeJrGMwVBwNnZGba2tiDLMiKRiPZ6RCKRgV8sU0eNPWml/4ToDa1Gn0ioIZpBd0RER+A4jpwzJunn2A+b6DUzM4PV1dW2b1L7+TW4K3bdd1VVkcvlkMvl8Pz5cy0mcNP3t+OiqVarWF9fh9vtxps3b1oSVlwul7YYZNTrdZyfn+P8/Bzb29uQJEmbbsNcN4O+mOpHVFXF9vY2Dg4OTPVaEfbB6/U2nb7E8zwODg6QSqWgqqrBdXPT9CUWfZyZmcGbN28M33dTZAporai4FVg8MxAIaIXMiqJokal8Po9SqWQQsmKxGAKBwEAJGxR9sid0XOxPK260SqWCYDBo8RYR/QgJNURXGJROlk7g8XhsuVC/iWq1ikQiAY7j8Pr1a1NW95uwq1jRDezoqGFlwcPDw22VBZv5bDMhaG9vr6PxFp/PZ5huwxZT5+fn2NnZ0aIaetcNTRDqLaIoIpFIYHR0FG/fvqUFR5+jn77EokRs+hLP89jc3ESpVNKiRPpJb5ubm+B5Hu+9917TUba3RabYuYj9TVVVLYtMuVwuRKNRRKPRpoXMBwcHqNVqCAQCBvGmn11iJAjYE3LUDBZWnK+IwaB/rx6ErbhpocaiPk7MdzfD7Xb3TcGyoijY3t7G/v4+nj9/rj1BvSsk1NhDqJEkCZubmzg/P8fS0hKi0eiN32+2LPgyoigimUxiZGQEKysrlt5g6hdTLKpRr9e1qEYul0O9Xje4bmjqS3dQFAXZbBYnJydYXFy89f1G9C/XTV/ieR7n5+eaeMNGazcaDdOiwHVTptg/dp7Su27YPysiU80KmQVBwMnJCbLZLBRFMUSmzBYy2wF6yGZPSKgZHDjwK2kAACAASURBVFgagT5nRDNIqCEsh4QaI/0iUpyeniKZTGJqagpra2sdvbGkMuHe73s3yoJlWdaemC8uLiISiXRs+1vB5/M1nfpyfn6OfD4PURThdrsNrpu7usYII+fn51hfX8fU1BSWl5f7ZqFKdA6/34/x8XEIggCPx4PV1VWoqgqe57XPoT7eyD6HZs41LpfrRtdNNyNTrJBZ361VLBYhCAJ2dnZQKpW0QmZ9ZMqOkKPGntBxsTetVEFQbQRxEyTUEJZDI7qN2P31qNVqWF9fR6PRwPvvv9/Ujn5XqEy4d0JNt8qCj46OsLm5ifn5eTx79sxWT4v0U1/m5+cBXBSkCoKA8/NzrSA1HA4bClLpxrh12Ij3YrF4bbyFcAaCICCRSGB6etrQRRONRrXPoSRJ4HkegiDg4OAAlUoFgUAAw8PDWmzKTJToOteNXnTWR6bYz1gVmWKCzOXzDc/z2NvbQ71eRzAYNIg3dnBMkCBgT8hRY29a+dxUKhW6LhLXQkIN0RHMRJ+IC+zqqFFVFTs7O9qIXNb5YQV2WrR3m16JVN0qC2ZCHwC8evWqb/pgvF4vxsbGtO4cfUHq3t4e1tfXwXFcW0/7ncrJyQlSqRTm5+dvdW0Rg4uiKMhkMjg7O8O7776LcDh87fd6PJ4rn8NqtQqe53F8fIxMJgNZlhGNRg2F4WZdN4C5yBQrArUqMtXsfFOpVCAIgiZyq6qKaDRqiEx1+zNEQo09IaHG3rQy8YnneYoBE9dCQg1hOSTUGLHj63F+fo5kMonR0VGsra3RDYCF9OKmlz3JHh4eNnV82y0Lzufz2N3dxZMnT24VguxOs4JUVhx6fn6O/f19VKvVtsYSDzqNRgMbGxuaK8+usQ7Ceti5h0XeWhUa9FGi6elpABfiASsq3tra0qJE7RSG3xSZ0gvVVrtuOI5DKBRCKBTS9lOWZS0ytbW1hXK5DK/Xa3DdWC2EtzK5hugeiqL0dUn1oNOKkCaKImKxmMVbRPQr9CknLMeOwkQvcbvdqNfrvd4MABclqxsbG6hUKnj33Xd71iFCWIMkSUin0+B53tKy4GKxiEQigaGhIcvLgntJs+LQSqViGEsMwDDZJhgMOspJcnh4iEwmg0ePHmFqaspR+058BiuOPj09xTvvvNPRa4u+x4ahLwzP5/NadDEWi2F4eBjRaNTUeclMZEofm2I/Y4V4o+/N0hejs8hUPp9Ho9FAKBTShBuz+2kWEgTsiSzLfeNWdSKtOGpEUSRHDXEtdPYlOgJFn8xjh/Hcqqpid3cX29vbePz4Maanp2lBNWAUCgWkUincu3cPCwsLlpUFs8WYE6f46J+Cz8zMALh4TZjr5vDwEJVKBcFg0OC6GcSFT61WQzKZhNvtxps3b+Dz+Xq9SUSPYOPXJycn8ebNm644MpoVhrPo4v7+vhZd1EemQqFQW5Epvcumm0XFbD/Hx8e1CYxsPwVBwOHhIdLpNAAYIlNm97MZFH2yJ4qiDOwDkUFAkiTTx0cQBHLUENcyeHeLhO3weDyo1Wq93gzb0Ovx3MyKPjQ0hNXV1Z4uGmn0Z+epVqtIJBJwuVxYXl6+9anbZReN2ePB+kdmZ2exsrJCx/H/cLvdGBkZwcjICIDPOjbOz89RKBSQTqehqqrBdXOXhVSvUVUV+/v72N7extOnT/s+8ka0j6Io2NrawsnJCZaWlnrq0GwWXWQiKs/zSKfTKJfL8Pv9hsiUmemUzUSYy1Om9NFRVVXhdrsti0yx/dSLxaIoQhAEZDIZVCoV+Hw+Q2TKrJDKrguEvZBlmQQ0GyPLckuOGhJqiOsgoYboCLc5akqlUhe3xt70qky40WggnU5DEARTMRirYdOP6KlQZ9CXQVtZFszicrIsU/+ICfQdG5cXUufn59qCMRAIGBaM/eC6qVQqSCQSCAaDWFlZ6YttJqyBuWgmJia65qJplcsiKgCtqPjs7AxbW1uQJAmRSERzv0WjUVP70kpRMfDZ+daqyNTw8DCGh4e1r9VqNc3pt7OzA0mStGjYTftJHTX2hMqE7U2r0ScSaojroLsqwnK8Xi8ajUavN8M2dDsKxp54Z7NZPHz4EPF43BZPyJhgRTcbd0cQBHz66aemy6DbLQve29vDzs4Onjx5YulUsEGn2UKq2WQbveumFxNfroNNENvb28PCwoJh4Us4C+aiOT4+7rmLph0CgQACgQCmpqYAXOxPqVTSOmBEUYTb7TZ8Fs1Oe2tWVAz0JjLl9/uvRMNKpRIEQcDe3h6KxSI4jjO4boLBIEWfbAodF3vTyr2tIAha7x1BXIaEGsJyqKPGSDcdNazkNRQK4e3bt6Zs3d3C7XZrN6pOpBOxL31Z8DvvvGNZWXCpVEIymUQ4HCbnhEU0WzCyyTaZTAalUqmtmEanYeeU4eHhgS6OJm6nWCzi008/xfj4OJaXlwdi4ehyuRCNRhGNRjE/Pw/gwo3KIlNs2ls7vVNmI1NAd6ZMRSIRRCIRw1Q7ds4pFAqoVqtoNBqQJAmKoiAWi9nqHsLJ0EMueyNJEkKhkKnvFUURDx8+tHaDiL6F7raJjkBlwubpxushSRI2NzdxdnaGxcVFw3QMu+ByuXpeqtwrOhH7YmXB9+/ft6wsmE1uOTk5wcLCgi3fR4OKfrLN/fv3AVzEFy7HNPTlqJFIxDLXjd45EY/HyartYBRFwfb2No6OjhxRIu71ejE2NoaxsTEAxmlv+t4p/WfRrAOulcgUiyFZFZnyeDxX+rU+/fRTBINBnJ6eYmtrC7IsIxKJaK6bSCQyEAJdv0GxcXvT6nhuurciroOEGqJjsNK8y5BQY8RKR42qqjg8PMTm5ibu3buH58+f2yYucZledfXYgbsINd0qCz49PcXGxgamp6cH5ml5v+P3+zE5OanFzhRFQbFYBM/z2NraQqlUgtfrNbhuOjF9ied5JJNJTE5O0nvB4TBH1djYmGPfC82mvekdcNlsFsViUSvwZZ9Fs+OUm0WmLo8HB6yPTLHrxfj4uBZpY9EwQRCQz+dRKpXgcrkMkSmz0TCifahM2N5QRw3RKUioISyHhBojVt3AlMtlJBIJ+Hw+Uwv4XuNkoYbteys2clVVsb29jb29PTx//lwbz3rT97fjomk0GtjY2EC9XsfLly8RDAZNbyPRXfQLpHv37uH/s3fusY2l9fl/HDuO73Hu10lmcnOczDI7M5nJ7EJRVVRRIbGqKqTSP6AVLLd2VaAVoqgCSstFBZVWlP66paJQFlqQkFraQqlALbRod4fdLcvuxHfHiZM498TH98s5Pr8/0vfMOYmTHCe++/uRRoiJvfPaOe857/u8z/f5AkdhzxzHgeM4hMNh5PN5KRyVuW7ULvAFQUAwGEQsFsP169dhNpsr+XGIOqbVXDSlInfAMeRzcW1tDblcDmazWXqd1WpVJdaf5rqR3+MrVTJ1PAtFXho2MjIC4OiZwUSqra0tZLNZGAwGhXhD5bLlhUqf6ptSHTUk1BCnQXdOouLQyUplEQQBoVAIu7u7mJ2dbZhgz1YWapijRi0cx8HtdqO7uxuLi4sVCwve2trCysoKJiYm0N/fT3O3AdHr9SdCQ5nrJhwOI5FIQKfTKVw3xURd5qgaGRnB9PQ0XQstTDKZlMLKW9VFcxGKzUUWVByJRBCPx6UAXzYXjUbjhUqm1AQVX6RkSk177vb2dnR3d0uBqKIoIpPJIBaLYW9vD6FQCIVCQVEyZTab6Tq6JHRPrl9KddRQ6RNxGiTUEGXjtNInonLs7u7C7/djeHgYi4uLDbXwaeUwYbVCDc/z8Pv9iMfjuH79+rkdVS4aFpxKpeDxeGA0GrGwsECBkU2ERqMpGo5a7KTfbrfDbDZja2uLHFWE5OLb3t6G0+mkU99LIg/wZW4UnucRi8UQi8Xg9/uRSqUkN0opoeFqgoqPizlarfbc58RF2nNrNBoYjUYYjUZFOHoikUAsFkM4HEYymYROp5OEm1JKwwii3im16xMJNcRpkFBDEDXiMl1/0uk0PB4PNBoNbt26BYPBUObRVR5y1Jwt1GxvbyMQCGB8fPzcluqXCQteXV3Fzs4OHA6Hol000by0t7ejt7dXKp9jJ/3r6+sIBoPQ6XQwGAwIh8Ow2+1SS2KidWAumq6uLty5c6ehDgEaCZ1Od8KNwkLDDw4OEAqFpADfUssXSwkqlr9HLt6Uqw20vEyzWDetSCSCXC4Ho9GoKJmi8h6iEeF5XvW1m0wmqayYOBUSaoiqoNFoyvbAbwYuGibLOq9sbW3B4XBIXSgaEer6VFyoSafTcLvd0Ol0FQ0Ljkaj8Hq96O/vp41Yi5PP57G8vAwAeO1rXwu9Xi9toqLRKDY2NpDNZmEymSThRm2+BtFYiKKIcDiMra0tctHUAI1GA4PBAIPBcMKNIi9f1Gq1ivJFtUJqsaBi4PSSKfa/lVi/nddNKxgMSt205CVTVPJDNAKlzBdafxGnQUINUTbUtOguRweSZkCn05UcBre/vw+v14uBgQHcu3ev4W/sre6oOf7ZC4UCwuFwVcKCA4EA0uk0HnnkEZhMpot/EKKhkecSTU5OSt2kgOKbqFQqdSJf4/hmkTZRjUsymYTb7Ybdbifxto4oFhouL1+UC6mdnZ1SKVEpQcXHxRsWJK7VaqXMs1JKpi5CsW5agiBIJVMrKytIpVJob29XlEy12rqSIgaaB/pdEudBQg1RFUioUaLValV/H5lMBl6vF4Ig4NFHH22ajbVWq0U+n6/1MGrC8XweFhbc09NT0bDg7e1thEIhXL169dxyKqK5YW3eOzo6VOUSaTQamM1mmM1mDA8PA3iYr8FxHDY3N5HJZKTNItswkuum/pG7aGZnZykvoQEoVr4od6MEAgHJjcLmo1o3ChPsBgYG4HA4JEf0aSVTFw0qVoPcOSTvbMfuO+vr68jn8zCZTJJ40+xuv4vkBhHVRa0Aw15HazHiNEioIcqGGkcNcYQaNwlzWGxsbGB6elpx2t0MtLqjplAoVC0smGUa6fV63L59mwTTFkYURayvr2NjYwMzMzNSNsZFKJavwTaL29vb8Pv9AHChrjZEdUilUnC5XOjs7CQXTQNzmhuFtc1eXl5GMpmEXq9XuODkzwIWHr2zs4O5uTnF86hYyZT8eVSsy1Qxt0450Ov1J0SqVCqFWCyGra0t+P1+KUSdiTcmk6lp7juCINA8rWNKyZ9krewJ4jRIqCGqAgk1Ss77PqLRKNxuN3p7e3Hv3r2mPB1qdaHm8PCwKmHB7KT8sptyovFhJ+U2mw137twp+33ltM0iO/2Wd7VhWTc2m011G1OifIiiiLW1NUQiETidTnLRNCFarRZ2u10REs+CiqPRKMLhMHK5HCwWC4xGI/b391W3YD8tqFj+rDqec3M8qLhcyN1+x0WqWCyG5eVlpNNp6PV6RVBxox5YlFo2T1SXUjs+Wa3WCo+IaGRodURUBRJqlJwmUuRyOfh8PmQyGbzmNa9p6iT4Vg0TTqfTiEQi0Ol0uHPnzrmLxYuGBXMcB6/Xi56eHty9e5dO4FoYeXevape2aLVadHV1oaurC8DR9ZzJZMBxHHZ3dxUlGky8aabT73oklUpVVLAj6peOjg709/dLDt1CoYBQKISNjQ1YrVYcHBzg8PDwQi644+LNWUHFrHynkiVTxUQqFpAeDofB8zzMZrOiZKoRnpPUmKO+4Xle9eFDPB6nwHbiTEioIcoGlT6p5/j3wcoRwuEwJicnMTAw0PQblVZz1MjDgnt6emA2m88UaS7qouF5HoFAAMlkEvPz800t9hHnE4vF4PF40NvbWxelLRqNBkajEUajEYODgwCUJRrBYBDJZBIdHR3o7OyE3W6HzWY7N0OHOB952dvs7KxiE0u0HrlcDi6XC3q9Ho8//ri0uZRnT21vbyOdTsNgMCiyp9TMx9OCitmzrZh4U6mgYuBIpOrr60NfXx+Ao/mQTCYRi8UQiUSQSCTQ1tamKJmqx1JNctTUN6W05o7FYuRmJM6EhBqiKrS3t7dscGwx5CIFx3HweDzo7OzE4uJiy5QBtJJQw3EcXC4Xent7sbi4iK2trTPnw0XCggFILU3HxsakEEiiNREEAcvLy4hGoyfyJuqNYqffzHWzv7+P5eVlCIIgBaPa7XZq01si6XQaLpcLVquVXDSE5GabmpqShAtGsewpNh/39vZOzEcWVKxGXFFTMiUvm2LvqVTJlMVigcViUQSkM9F4Z2cHmUwGHR0dipKpWovGhUKB5m8dIwhCSY4aKn0izqI1doREzdHpdMhms7UeRt2g0+mk06xEIoG5ubmWu1kf73zUjPA8D5/Ph0QigUceeUTaLLMw4eMcd9GoXZiyzmBarZbCggkcHh7C6/VieHgYCwsLDSloGAwGGAwGDAwMADjanLANVCgUQjKZRHt7uyTcdHZ21nwDVY+Qi4aQw55J+Xxe9bOimAuOzcdYLIbV1VUkEgnodDpFe3C1IamllEyx8VQqqFin050o1WQlUwcHB1hdXQXP87BYLJJwY7FYqupUpDDh+qaU0qdYLEalT8SZkFBDlA0qfVKHKIpSdwKHwwGn09mQG6nL0syOGtYKOxgM4urVqyd+x8eFmouWOckDQaenp9HT01P+D0M0DKzsLZVK4caNGzAajbUeUtloa2uTTu8ZLBj18PAQKysr0gaKCTdqT/mbFeaisVgs5KIhJAF3bGwMQ0NDl1p3yOdjsbbZGxsbyGazMJlMipIpNdegmpIpeVBxJUumNBqNJBrLc31YydT6+jqSySTa2toUrhuDwVCxdR2VPtU3pfx+KKOGOA8SaoiqQELNEfF4HG63G1qtFsPDwxgZGan1kGpGs4YJs82RXq8/NSxYLtRcNCw4Ho/D4/Ggq6uLNmEE9vb24Pf7MT4+3jJlb8WCUROJBDiOO3HKz8SbVnCbiaKIjY0NrK+vw+FwSO4AojUpFAoIBoOIxWIVFXBPa5vNcZzUNlsURUVQsdrg8NNKptgf9hyVu24qFVTMcmysVqu0hsvn85Ljb2trS2q7LBdvylXWTkJNfUOOGqKckFBDVIVWF2p4nkcwGEQ0GsXs7CwEQcD29nath1VTTiv/aVRYZ53NzU04HI4z3S1MpBIEoWQXjSAICAaD4DgOTqezrrNHiMrDOsUJgoBbt26ho6Oj1kOqGfJTbfkpP8dx4DgO4XAY+XweZrNZEm6qXbZQadLpNNxuN8xmMwm4BBKJBFwuFwYGBnDr1q2qCrjyttksA4YFh0ejUUVwuFy8USumtrW1qQ4qZuOpVMlUe3v7mbk+oVAIhUJBUTJ1UccfdX2qb0rNqBkdHa3wiIhGhoQaomxQ6dNJ5CUwY2NjmJmZgUajAcdxTekmKYVmOvGPRqNwu93o6+vDvXv3zl1EtbW1SYtVq9WqejO1u7uLYDCI0dFRTE9PN9V3SJQGu7eEQiFMTExIWS6EEr1ef6LTC3PdrK2tIR6PQ6vVKlw3jSh2kYuGkCOKIlZXV7Gzs1NXYeKntc3mOA7RaFTKgDGbzZJwo7ZttpqgYnnJFHtPpUqmiuX6sHtPOBxGMpmETqeThBu1955ShACi+vA8rzqfiUqfiPOgmU6UFY1GA1EUT/x9Kwo1yWQSbrcbHR0dJ0pgWvH7aEby+Tz8fj+SyaQiLPg02ILRZDJhYGAAGxsb0kaRbRLtdvuJE8VsNguv1wsAuHnzZkNuJInykclk4PF40N7ejoWFBQrRLQGNRiOVLbCTzHw+L7lu1tfXkc1mFa4btRvFWpHJZOByuWAymchFQ0jlt52dnVhYWKjraxcoXsKYTCal+ciekXLXjdoMmFJKpkRRlISbSpVMMVGGkc/npVyfSCQi5frIS6aOz2fq+lTfUEYNUU5IqCGqQjMHxx6HtcXd29vD7Oxs0ZPNVvo+mpHzwoKLvV4eFqzVajE6OiptFOXlGWtra8jlclLr02w2i52dHUxPT59oo0q0Fsw1sba2hpmZGQqPLhPt7e0nsjXYRpGJqWyTxcQbtSemlUQURUQiEel6YGUXRGsiiiI2NzcRDocbusOXPAOGPSN5ngfHcYjFYtjc3EQmk4HRaFR0mVLrMjmrZEr+nK50UDFwdO/p6emR7uWiKCKdTkvtwYPBIERRhNVqlYQbnufrXnxrZUrJqCGhhjgPEmqIsnKao6ZVSjR2d3fh8/kwMjKCxcXFUx+mOp2OhJoGJZVKwe12nxkWLEdNWPDx8oxCoYDd3V34/X7phC8cDoPjOGpF3KKw64518CHre+XQaDSwWCywWCyKsFD5yXcmk5E62tjt9pJKGMtBJpOB2+2G0WjEwsICXQ8tTi6Xg9vtllx2zXY96HS6E4KGPANmeXkZgiBIBxwsf+oyrpvj4o18zVbJkimTyQSTyYShoSEAR4IRK5laWVnB4eEh9vf3wXGcJFK1Qkh6o1Cqo0beyZAgjtNcd3KCqBHpdBoejwdtbW24ffv2uaetWq2WSp/+D1EUG0LIk4cFz87Onnt6fdGW24IgIBQK4eDgADdu3IDVagXwsI7/4OAAoVBIWpTKWxE3wvdIlEahUEA4HMb29jYcDkfDnpI3OsVOvllHm83NTXi9Xmg0GmnjZLfbK9KiV+6aIBcNARwdEAUCAUxNTbWM6/K0DBjWeWllZUXKgGHCTSn5U8fFm+Mum2oGFbMMLbah93q90n2IlYfl83mpZIqJVFQeVRtKddSQUEOcBQk1RFVplE25WgqFAlZWVrC1tXVupx85zfQdXAatVtsQ9dYsLLi/v19VWLAoitKCrpSW2/v7+/D7/RgeHsadO3cU7ytWx88CiZeXl6XuGUy4KcUKTtQn8XgcbrcbPT09uHPnDtnd64hiHW14npdcN16vF+l0WirPYH8uc69jLhqDwdCUrgmiNHieh8/nQz6fx+3bt1veVdHW1qYQNABlWbE8f0oeVKxmThYTYY53mZIHFVeyZEoQBBgMBlgslqKt0Dc3N5FIJABAUTKlthU6cTl4nld9n08kEnUT9E3UJ/SUJ8rKWQ8B1o653jflatnf34fX68Xg4KCqzTtxEpbVU6/XhDws+DWveQ3MZvOZr7+oi0beYvnRRx9VlX9RbFGayWQQjUaxt7cn1bbLT/iNRiMt1BqAQqGA5eVlHBwcwOl0Sq4qor7R6XQnWvTK8yYCgcCF5qTcRTM9PU3ZRASi0Sg8Hg/GxsYwNDRE9/VTKNb1rZgTTl4ypVbQKCWoGHi4HriseFNsHX1WK/RYLIbl5WWk02no9XpFlykqoS4/pexzRFEkwZ04E7o6iKrR3t5ektJcr2QyGXi9XhQKBdy8eRNGo7HWQ2pY6jVUWRRFbG1tYXl5GdeuXVMdFiyKYkkuGhYGGg6HMTk5KbllLorBYMDg4KBkBRcEQTrh9/l8ihN+u91etKMEUVui0Si8Xi8GBgYaomMLcTqn5U2wOen3+5FKpWAwGBSuG/nCPZvNSplY5KIhCoUCgsEgYrEYbty4QeuPEjlN0GBzMhAIIJVKoaOjQzEn1QoaZwUVl6tkShAEVa89rRV6LBZDNBpFOByWWqHLS6bomXN51K7/COI86IlPVA2tVot8Pt+wrYVZVsTGxgZmZmbKUgvebKVgpdLW1lZ3Qg0LbS3WVr0Yx8OC1S5ykskkPB4PzGZzxcJhtVoturq6pM5j8hP+ra0t+Hw+KVeDLejqoZtNK8LzPILBIBKJBB555BGYTKZaD4moAMXmpDwUVd7lBQAODw/hcDikEgeidUkkEnC5XBgYGMCtW7daeu1QTo7PSQDSnDw4OMDKygp4nofFYlEEFat51p8XVHy8ZIq956y1xGVcyB0dHSccRvIOd4lEQuq6xZw35MStLPTdEmdBQg1RVs664bS3t9fdplwth4eH8Hg86O3txb1798riQmi2UrCLUE+OGnneUCXDgguFAkKhEPb39+FwOKoaJFfshJ/lakSjUUQiEUUNP+tmQydslYVlE42OjmJmZoYWbi1EsVDUdDqNBw8eQBRFmM1m+P1+hMNhhROOShZaB1EUpUDxubk5yrSoAgaDAQaDAQMDAwCOnttM0FhbW0M8HodWq5WcKJ2dnarDw0spmRJFURJumHhTKBTK9kwu1uGO53kplHlnZweZTAYdHR2ScEP3n/KQy+XoeyTOhYQaomrodDrk8/laD6MkcrkcvF4vstmsqoySUqj3fJZqwMKEaw0T4iodFnx4eCjlGtVLWUuxXA22IF1fX5cWpGyTWErnDOJs8vm8FAaqNpuIaF5YyeXKygqmp6cVLhp2wr+/v3+iFbHdbqeub01KOp2Gy+WCzWarm2dGK8JcJlarFaOjowCO7t+sZGpzcxOZTEYRHm6z2VQ7Zc8qmZIfCPE8D57nFeumcl8TOp3uhOuPlUwxh5EgCLBYLJJQZTab6doEJGe1GmKxGOXPEedCQg1RVs66Qel0uoZpSS2KItbW1rC2tobJyUkMDAyUfRHMvo9W7tRQa0cN2yin0+mKhgWzfyeXy9V9rkCxE7Z8Pg+O4xCNRrG2toZcLgeLxSIJN1TXXjrb29tSBlIl7i9EY5HNZuHxeKDT6bCwsHDipLXYCT879Q6FQkgkEtDr9YpcjVZ+tjQ68gDp2dlZRc4IUR+0t7ejp6dHCvc+LTxcHlSsVlAt5rpJpVJwuVxSll2pJVMXRaPRSPcfeddJucMomUyira1NEVTc0dHRcs+1UnI44/E4bDZbhUdENDok1BBVo1GEGo7j4Ha70dXVhcXFxYqFN9ZapKgHavUdHA8Lnpubq1hYMDshb+QNeXt7O3p7exWtQBOJhBRImEgkoNPpFK3BaZNYHLYh12q11FKXgCiK2N7eRigUwtTUlOrss2Jd37LZrCSorq6uKnI1mOuGBNX6J5fLwe12o729nQKkG4jTwsPlnZdSqRTa29slx41ahyoT9mdnZyWnizyY+LSg4nJ0mSqG3GHEyOfzkni8tbWFbDYLg8GgKJlq9mtZ1m/PIwAAIABJREFUEATVnzEWi5FQQ5xLc88Yoq6o99In1oo5kUjg+vXrFa8DbxThqpLUIkyYnUoZDIaKhgWnUil4PB4YjcaiJ+SNDGtnarVaceXKFQBHm4toNKrYJFJpxkPYCfnq6uqJshaiNWEbcq1WW5Z7REdHB/r7+xWn3olEAhzHYXV1VRJUmcBjt9tJKKwzdnd3EQgEShLtiPpF3nlpbGwMwNG85zhOcqPkcjkpF66zsxNWq1VyZQiCAK/XC57nT9wjinWLOqvLlCiK0Gq1FRFugKMDneNl1PKg9FAohEKhcKJkqpnWBTzPlyTUUOkTcR4k1BBl5bzSp3Q6XcXRqIO1SGauh/NaMZcLctRU9ztgYcHb29uKU6nTuExY8OrqKnZ2duBwOFrGsq7X609sEtnp2vLyMpLJpNTylDlvmv10jZFOp+F2u2EymSrW4YtoLNgJeSU35PJSBLmgKt8k5vP5E5tEct1UH57npbwqcto1N3q9/tTOS5FIBPF4XCo34jgOo6OjGB8fv1SXqWJBxUBlXTfFgtKPi8fJZBI6ne5EyVSjUkruJJU+EWqg1SJRNerRQRKPx+F2u2GxWHD37t2quh50Oh0JNf/Xsr3SyMOCFxcXKxYWHI1G4fV60d/fjzt37rT0hkdemsFOEo+3IS4UClJr8M7OTphMpqY6XWNZV5FIBA6H41xxkGh+crkcPB4P2traauK0K7ZJZBun4+Hh8m42ROWIRqPweDwYGxvD0NBQU90DifM5ngsniiJCoRC2trbQ39+PWCyG+/fvS2VEpXZ+KxZUDJxdMlXMrVMO5OIxQx7KHIlEkMvlYDQaFSVTjdJ0oxRHDQk1hBpIqCGqRj0JNTzPIxAIgOM4OJ3OmtwstVpt3XwftUKr1SKbzVbsv5/P5+H1epHJZHDjxg2YTKYzX3+ZsOBAIIB0Oo1HHnnk3H+nVTkeiMrq96PRKAKBAFKpFAwGgyLrplEWaMdJJBJwu92w2+24c+dOw34OonwwF83k5KTkPKs18jJGeTcb5rrZ2NhANptVuG5sNltLi9DlolAoYHl5GRzH1X3IPFEdstkslpaWYLVaFR0oWeel453fWAZVKaH+akqm5EHF1SiZOiuUORgMSqHMzHVTr4c65Kghyg0JNURZqfeuTyy4MRgMYmxsDA6Ho2Y3eyp9qlxGDcsDCYVCmJiYwODg4LlhwfJFSilhwTs7O1heXsbVq1cxOztbl4uHekVevw88rGmPRqPY2dmB3++HRqORFmd2ux0Gg6Guv2NWYre3t4fZ2VlaiBGSi0aj0TREXlWx8HB5aYbX64VGoznhuqnneVlvJBIJqYPPrVu36LsjpHyimZkZSbRgyDsvyTu/MTccC/W/qBuu3kqmioUys88aCoWkUGZ5yVQ9lAuW6qipF8GeqF9IqCHKjkajgSiKJ/6+1kJNMpmE2+1WHSJbaeo1s6eaVEKsYmHBRqNRVTnbRcOC0+k0PB4P9Ho9ZQqUCXlNu3yBxk73PR4PMpkMTCaTJNzIgxdrDRtjf38/FhYWyHVASCfC9eSiKZXjpRnA0YaEzcvNzU3FvGSum3qZl/WEKIoIh8PY3t6G0+mkMFECgiDA5/Mhm82WtJYolkFVzA130XlZrGRKvl6qZsmUXIBi5HI5qWRqfX0d+XweJpNJEm4sFkvV70GCIKj+/cXjccXnIYhikFBDVI1aCTWCIGB5eRl7e3twOp11E+5KjpryfgeFQgGhUAg7OzsVDwsOh8PY2trCzMyM1OGAqAxarfZEJ4lUKiWd7sdiMSkPh5VMVTtTQxAEBINBxGIxXL9+HWazuar/PlF/5HI5eL1eiKLYlEKuTqc7Ua7A5uXW1hZ8Pp/CDdfZ2Qmj0djSzpF0Og2XywWbzUZCLgHgaLPucrkwMjJSFkduMTdcKpVCLBbD9vY2/H6/VEbE5qXazkunuW7kayl5yRR7T6VKpvR6fdHPysRjFsosL5mq9D2I53nVpe9U+kSogYQaompotVppU1wtWPnE6OioqhDZalJrh1E9UK5r4vDwEG63G4ODgxUNC+Y4Dl6vFz09Pbh7925dXU+tgkajgdlshtlsxvDwMICHYYTRaFSRqcGEm0p2sjk4OIDP58PIyAimp6dbeiNKHMFcNBMTE1KZQrNTbF7K3XDb29tIp9MwGo2K0oxWcN2wUtxwOEyh4gSAh0HzW1tbmJ+fh8Viqci/I5+Xcpfq8Y6Mer1eMS9LcfUAD8UbNUHFlSyZKnYPisViiMViCAaDSKfT0Ov1ipKpcpaiUkYNUW5IqCHKzmmlT9UklUrB4/FAq9ViYWGhLtv9kaPm8t9BLpeDz+dDJpPBo48+WrGwYJ7nEQwGkUgkMD8/T46JOqNYGGEymUQ0GpU62eh0OoXr5rIOh3w+D7/fj2w2S0GgBICH4eWFQqEpXTSlUswNJ8+gCgQCEEVR4bqp15DQi5LL5eB2u9He3o6FhQXV+RVE85LNZuFyuWAymWrirDqeDcfGxHEcotEowuEw8vm8IkBc7WGHmqDi42JOJYOKtVoturq6FOJoNpuVDnbC4TB4nofZbFaUTF10LKVm1FDpE3Ee9MQgmgpW/rK9vQ2Hw3EikK2eIKHm4mHC1QoLBh6ejo+NjWFmZqapNhHNijxTg3WyyeVy0kJ0dXUVPM/DYrFIwo3FYin5mrh69eq51x7RGrAg0FZy0ZTKaRlUxTq/yU/3G1XcYNdEI+cTEeVlb28Pfr8f09PTUslOPdDR0YH+/n7pOpUfdmxsbEglxhcpZTyrZEruvJGvBStZMtXR0YG+vj709fVJY2ElUxsbG0gkEmhra1OUTKkNS+d5XrWjJhaLkaOGOJfGfPoRDQ3bKJebvb09+Hw+DA4OKtoa1itU+nQxsSqZTEqnUZUMC85kMvB6vdBqtXQ63gTo9foTi7NEIoFoNIqVlRUkEgno9XpFa/Dj1xbr3gOArgkCwEMXjSAIdE1cgGKd37LZLKLRKPb29qQ2xPINotpMjVrB8zx8Ph9yuRxdEwSAI0GSCZGNcE3IDzsYPM9L4b2slFEuqtpsNtVlRBcpmapUUHFbW1vRsHRWMrWzs4NMJoOOjg6pZOq0zyoIQkmOGhJqiPMgoYYoO+e16C7lRqaGTCYDj8cDURRx8+bNhilBIEdNad9BtcKCWe14JBLB9PR0XbuyiIsj75jBYBvEg4MDhEIhxQYxn88jEolgamqKTscJAA8dE9euXcPg4GCth9MUsDbEg4OD0ndaKBSkDSLL1Ojo6FC4buql5Xk0GoXH48GVK1cwPDxc14ISUR0SiQSWlpYwNDTU0K5cnU5XtJSR4ziFqHo8qLhcJVPyoOJKl0wV+6ysZOrg4AArKysoFAqKkimz2VxS6ZMgCHVz3yLqFxJqiKqi0+mQz+fLItQUCgWsrq5ic3MT09PT0kl5o0BCzdFDWU2e0cHBATweD4aGhkoKCy4UCpKFVg3xeBwejwddXV24c+dOSwRdEg/p6OjAwMCAVLpSKBSwu7uLYDAohQQya7TdbofNZmvYsgzi4uTzefh8PvA8j1u3btVlBloz0dbWdiJTg20Q5aKqfINYSiljOSgUClheXkY0GqXMKgLA0TpkfX0dkUgEc3NzTdeKXV7KKBdVWVDx6uoqEomElA8nLyNSw2klU+zP8ZKpSgcVGwwGGAwG6aCmUCggmUyC4zisra0hmUwilUohGAxKn7ejo6PofajWOZ5E40ArTKLsnOeoKUe5z+HhITweD/r6+rC4uNiQG2q1IkUrw1rc5nK5C4UFqxVpWHtljuPgdDor1oGBaBxEUcTGxgY2NjYwOzuL7u5uxQni8TBUVjLV6i2Imx2WMUH5RLWFbZrkoirbIK6srCCZTKK9vf1CnWxKJZFIwOVyob+/H7dv36ZrgkAul4PL5YLBYMDCwkJDrlEvQltbmzTfGLlcTnLEsa6MJpNJUTKl9vtpa2tTHVQMVL5kymq1KgS4n/70p+ju7kYsFsPm5iay2SwMBgMSiQQODg7w2te+VuEGp3sFcR4k1BBV5bJCTTabhdfrRT6fx40bN87duBONiSiKiEQiWFlZweTkJAYGBs4NCwYeWmJLCQve29tDIBCg9sqERDKZhNvths1mUzirip0gsvaf0WhU0YKYCTelLEKJ+oW5aPL5PLlo6pDTNojRaPREgLjcdXOZzZsoigiHw9je3obT6Ww6xwRxMfb39+Hz+TA1NdVwTu9KoNfr0dvbK4Uni6IohfdubW3B7/dfuPvbWUHF7NBOXjLF3lOpkimNRnOiA2Umk8FLL72Ef/mXf8GnPvUp5PN5OBwOCIKAV155BfPz86rXCN///vfx/ve/H4Ig4Mknn8Qf/MEfKH6ezWbx9re/HS+99BJ6enrwrW99C1evXi33xySqiOacE3067idKRhCEU8UYn8+Hrq6ukh9eLDdkbW1Nyohohg31s88+i8cff7zWw6gpx78DFhZsNpsxPT1dcliw2uuCiX4A4HA4aONFSOWULAfpIq0zRVFEOp1GNBoFx3GIxWLQaDSK1uBqrd9EfcA2XuSiaWxYqQKbm/KyDPZH7XMgnU7D5XLBZrNhcnKy7psXEJWnUCggEAggkUhgfn6e1hQlwA48OI4Dx3FIpVJSDhUTcC7qiJN3/ZQ7rtnPmHBzWfFGFEW8+OKLuHPnzpmvS6fT+M///E/8yZ/8CR599FG4XC7Y7XYsLi5Kf4aHh0+8TxAEzMzM4Ac/+AFGR0dx584d/OM//iPm5uak1/y///f/8Morr+Dpp5/GN7/5TfzTP/0TvvWtb134MxFV49RFBTlqiLJT7tInjuPgdrvR1dWFxcXFpsuEqFQXrEaD1fjv7u7C6XQq8giKcZmw4I2NDUn0oxMvAjhqlenxeNDb24s7d+5ceMGm0WhgMplgMpmkxRbP89IClFm/zWazJNxYrVba6NUh8u495KJpfOSlCleuXAFw5Lphc3NtbQ25XE7hujk+N0VRxNbWFlZXV+FwOM4NtSdag2QyiaWlJQwMDJAz9wJotVp0dXUp5lMmk5HcqswRZzabT52bp1FMhDnuujnedeoiQcUsE/E8jEYj5ufnMTExgW984xsAjpzdP/3pT3H//n38zd/8jZS9+cEPfhCvfe1rARyVVU1NTWFiYgIA8Na3vhXf+c53FELNd77zHfzRH/0RAOAtb3kLnnrqKdpjNDjNteMl6p5ShBpmNU+lUrh+/XpT5oawnJpWvolqNBqptXqlw4ITiQQ8Hg9sNhvu3r1LJSkEBEGQQkDn5uYqcp/R6XQn7NDsZH99fR3xeFxqU1zqyT5RGZiLZnx8HENDQy19j25m9Ho9+vr6JMH+tLnJurrs7OxAr9djYWGh6Q6NiNJhBz/r6+uYm5ujdstl5KzwXvnclJdMGQyGspVMycum2HvOEm9K6fgUj8cVpZK9vb1405vehDe96U3SWPx+P8xms/SajY0NSWAGgNHRUdy/f1/x35W/hrkF9/f3pbIzovGgpwxRVXQ6HbLZ7JmvYQ++1dVVXLt2DXNzc027SNZqteB5vmIhh/VOLpdDOp3GysqKqtbqlwkLDoVCODg4oCwBQuLw8BBerxfDw8NYWFio2n1Go9HAYrHAYrFgdHQUwJEwzUoy2Mk+62Jjt9tVtzklLgfP8/D7/chkMrh58yaVqbUYp83NtbU1BAIBdHR0IJPJwOVyKU72SfRvPfL5PFwuF9rb26lLZBWQO+Lkc5OVTG1ubiKTycBoNCqCitWKJ8fFm+Mum/OCillnSDXE4/EzS6vb2trgcDgUf1csquT4mkXNa4jGgoQaouycV/qUTCZP/Xk8Hpfqvu/evXtuPkmjwxxGrSbUyMOCOzo6cP369TM3RJcJC97f34ff78fw8DDu3LlDDy1C2oyn0+m6aaXb3t6uONmX52msrq4iHo9Dr9dLC1C73d7098dqc3BwAJ/Ph7GxMczOztK9goAgCAgEAshms3jssceg1+sVYaiRSATxeFzKoSr1ZJ9oTA4ODuD1ejE5OSk5Pojq097eXjS8NxqNYnd3F4FAAIVCQTr0YCHipbhuzuoyJQ8qTqfT0Gq1qkqgYrFYye6r0dFRrK2tSf9/fX39RJYNe83o6KhUct3d3V3Sv0PUFyTUEFXltNIntnGKxWJwOp0tYx/VarUKa2UrkEgk4Ha7YTabsbi4iFdffVUR7nac42HBal0FuVwOPp8PgiDg0UcfpZNxAgCkxdv4+Hhdb8aL5Wlks1lwHIdoNIqVlRUIggCr1SqVTJnN5rr9PPWM3EVD9wqCEY1G4fF4cOXKFQwPD0tzS6PRwGw2w2w2K3KoWJ4GO9m/aAtion5hWXocx5Hjrg6Rd2YcGhoCcPQ7i8fj4DgOKysrSCaTFw4RP61kKh6PY3l5GWNjYxAEQeG6KZaRE4/HS97n3LlzB36/H6FQCCMjI/jmN7+Jf/iHf1C85oknnsDf//3f47HHHsO3v/1t/NIv/RKtCRocEmqIslNKmDAL5lteXq77jVMl0Ol0LSPUnBYWfJpYdZmw4EgkgnA4TKddhIRcuGvUYNiOjg709/cravbZAnR5eRnJZBIdHR2KrBvK0Tgb5qK5cuVKyz1/iOKwZ1U0GlXtuNPpdOju7pZOr1n3N3kLYgCKPA2j0UjXWwORSqWwtLSE3t5e3Lp1i353DUJbW5s05xjFQsSPBxWrFVa3trawtraG+fl5WK3WE66bYiVT0Wi05Dw8nU6HL37xi3jjG98IQRDwjne8A/Pz8/jYxz6GhYUFPPHEE3jnO9+Jt73tbZiamkJ3dze++c1vlvRvEPUHtecmKsJpOTSpVAperxc3b96UnBVGoxEzMzMtV/4DAF6vFz09PU0f9LW/vw+v14uhoSGMj48rThaWlpYwOjqqeIheNCw4mUzC4/HAbDZjamqKNqkERFHE9vY2QqEQJiYmMDAwUOshVRRm+2aLUFEUpc2h3W6nzeH/IQgC/H4/UqkU5ubm6GScAHDk+HS5XOjv78f4+HhZ5wprQczmZzqdhsFgkITVUvI0iOohiiI2NzcRDofhdDrPzBYhGhMWIs7mJytntNls0vPTZDIp7gc8z8Pj8QAAnE7nmcKOXLQ5ODjAE088gSeeeAKf+tSnKv7ZiIbg1AcNCTVERcjlckVDrXK5HF5++WXY7XYcHBxgdnb23DbMzUwgEIDVam3azWMul4PH4wHP83A6nUVPJt1uNwYGBtDd3X1hF02hUEAoFML+/j4cDgctpAgAR6KFx+NBe3s7ZmZmWjLThW0OWclUOp2WwhbtdntLlmSwEOnR0VGMjIyQcEVAFEWsra1hc3MTc3NzVQmcl+dpcByHWCwGURQV5YzHN4dEdcnn83C73dBqtXA4HCSktRDyZyfHcUilUujo6EBnZyf0ej3W19cxPj5+IifmLJ5//nl84AMfwEc/+lG85S1voblNMEioIarLaULN1tYWXnnlFTgcDoyNjbX8TWplZQXt7e0YGRmp9VDKirxz19TUFPr7+0/9Xft8PnR1daG3t/dCYcFs0zU4OIixsTHqjENI19/a2hpmZmakoEFCWZIRjUYRi8Wkk0O2OWzWIFQWDJtMJk8VjonWI5PJYGlpCVarFVNTUzV9hgiCgHg8Lok3bHMod920ouBcCw4PD+HxeHDt2jUMDg7WejhEHZBOpxEKhbC7uyuVT1ssFkVQcbH7hyAI+MIXvoDvfve7eOaZZzA5OVntoRP1DQk1RHXJ5/OKgNhUKgW324329nbEYjG87nWvq+Ho6oe1tTWIooixsbFaD6VsMOu41WrF9PT0uSdQwWAQBoNBEnPUbhDz+Tx8Ph9yuRxmZ2dp00UAeHivsVgsmJycpBNQFciDUDmOk4JQ5ZvDRhdAyUVDHIdl5K2ursLhcKCrq6vWQypKJpNRCKuCICiybihEvLwwh+7h4SHm5+dpbUEAOHpOulwu6HQ6OBwOqcMT684Yi8Xgcrnw+c9/Hjdu3MDi4iJe97rXobOzE+973/swMzODz372sw2Zj0dUHBJqiOrChBoWyrezs4PZ2Vl0d3fj2WefxeOPP17rIdYFrDvEtWvXaj2USyMIApaXl7G3t4e5ublzy4/k9bqBQEDK0rDb7bDb7aee6rPF9crKCq5du4aBgQFapBIoFAoIh8PY3t6Gw+Fo6ZLKy8LaD8tLMrRaraI1eKMsNpmLJpFIYG5ujjZdBICHZbmNWNIiDxGPRqNIJpPQ6/WKEHFy3VyMdDqNpaUldHd349q1a7S2IABAEmGuXr16rrtqd3cXP/nJT/Dcc8/h/v37WF5extTUFH71V38Vjz32GBYWFkoOEiaaHhJqiOqSz+exs7MDn893IkCWhJqH7OzsgOM4TE9P13ool4KFBQ8PD6sqP2JhwfIyJ3nQYjQaRSaTkVL47XY7rFarlDliMBgwPT1Ni1ECwFGrS7fbjZ6eHly7dq3h3R/1SD6fl2r1o9EocrkcLBaLtDk8zfJdS1h75ZGREYyOjtKmiwAA7O3twe/3N1VXwGw2q5ifgiDAarUqSjLo+j+bzc1NrK6utnx2IvEQll21tbWF+fl5mM1mVe8TBAF//ud/jh/84Af42te+hkKhgPv37+P555/Hiy++iHw+j5s3b2JxcRH37t2D0+msu+cnUVVIqCGqi9vtRiwWw+zs7IluGs899xwWFxfppoQjgWN3dxezs7O1HsqFUBMWLKeUsGD5qf7h4SEODg7A8zz6+/sxMDAAu91OQk2Lwxx7BwcHcDqdVQkAJY4QRRGJRELaGCYSCeh0OsWpfq06+QmCgGAwiHg8Ti4aQkIQBPh8PmSzWczNzTV1p8lCoaCYn8lkEu3t7dLcrOX8rDfk3XtmZ2cbyl1FVI58Pg+Xy4WOjg5MT0+rDt3f2dnBe97zHly/fh2f+cxnis6zTCaDl19+WRJvHn30UXz4wx8u90cgGgcSaojqclp7bgB44YUXcOPGDVokAOA4Dmtra7h+/Xqth1ISx8OC1XStKuaiUUM0GoXX60V/fz+GhoYUHWxYrT51yGg9mFuCQqTrh1wuJ81NjuPA87x0qm+326uSpUEuGqIYHMfB7XbjypUrGB4ebsnrgs1P9iefz6sKQm1m2HUxPj6OoaGhWg+HqBPYdcHK69XyP//zP/jQhz6ET37yk3jzm9/ckvcZ4kKQUENUF57nIQhC0Z/97Gc/g8PhgMlkqvKo6o9EIoFgMIgbN27UeiiqKTUsWO6iKTUsOBAIIJ1OY3Z2tuj1UigUFCGoqVQKRqNRyrlphhBUQgnP8wgGg0gkEnA6nXQfqWOKZWmw9qZsfpbLFccysmKxGF0XhARz3UWjUczNzdF1IeM0V5zcddMoWVSlIooiQqEQ9vf3MT8/T9cFAeDoulhdXcXu7i6uX7+u2o0pCAI+97nP4Uc/+hG+/vWvN1WDEKIqkFBDVBdBEMDzfNGfvfrqqxgfH4fNZqvyqOoP1hb09u3btR7KubCN0P7+PpxOp+qwYDVlTsfft7Ozg+XlZSm4Ta24w1oPs5ybeDyOtrY2aWNot9vJydXA7O/vw+fz4cqVK9S5p0E5rYPNZVxxHMfB4/FgaGgIV65coeuCAPDwUKGvrw9Xr16l60IFxbKozGazND+tVmvDH36wdVdnZycmJiYa/vMQ5SGXy2FpaQlmsxlTU1Oqr4vt7W28613vwq1bt/CpT32KSvKJi0BCDVFdzhJq3G43BgYG0N3dXeVR1R/5fB4/+9nPcPfu3VoP5Uz29vbg8/kwPDyM8fHxcxe8Fy1zSqfT8Hg80Ov1mJ6eLouowhaezHWTz+erXo5BXA7Wij2fzxfNvSIaF0EQEI/HFa44g8GgyLo5LRugUCggGAyC4zhySxASLAB0c3MTc3NzlF11CURRRDKZlJ6h8XgcWq1WIa420v14e3sboVCortuxE9Xn8PAQHo8HU1NT6OvrU/2+H//4x/jwhz+Mz3zmM3jTm95Ea0niopBQQ1SXQqGAfD5f9Gd+vx+dnZ1N023hMrAk+Mcee6zWQylKNpuFx+NBoVCA0+k8d0F2URdNoVCQFtYzMzMVFfFYyCJz3SSTSdUbQ6L6bG9vY3l5mVqxtwiiKCKTyShag4uiqGgNbjAYEIvFFBlFdF0QwJFbwuVywWKxlHQqTqgnn88rSo6z2SxMJpOiQ2O9PUN5nofX64UgCHA6neR6IAAcPW9WVlawv7+P69evqxYdeZ7Hn/7pn+InP/kJvv71r+PKlSsVHinR5JBQQ1SXs4SaUCiEjo4ODA8PV3lU9Uk9tisXRRHr6+sIh8OYnp5WJapd1EXDcRy8Xm9NWyuzcilm+dZoNNKis9FODJsFJhJqtVrMzMxQyVoLIwiCohyD4zgAwPDwMPr7++tyY0hUF1EUsbW1hdXV1YqL/YQS1qFR7rrRaDQnXDe1ElNjsRhcLhfGxsYwNDREoi4B4KjU6cGDB7BarZicnFS99tza2sKTTz6JxcVF/PEf/zGJfkQ5OPWmRD3oiKqj0+lOLYsiag+r67fZbFhcXCw5LFjtw04eCjs/Pw+z2VyO4V8Io9EIo9EodX3geV5adG5sbCCbzcJisUg5NxaLhRZ7FUIURUQiEUkk7O3trfWQiBqj1WrR3d0NnU6HnZ0dXL16Fb29vYjFYohEItLGkMTV1iSfz8PtdkOr1WJhYYHaK1cZjUYDs9kMs9ksHcDxPC91aNzc3EQmk5GC/js7O2Gz2SourrJg2J2dHTzyyCM1XWMQ9cXBwQG8Xm9JawxRFPFf//Vf+MhHPoLPfe5zeOMb30jrQKLikKOGqAiiKCKXyxX92ebmJtLpNCYmJqo8qvqkXhw1giAgGAzi4OAAc3Nz54Y9X7TMCQB2dnYQDAYxNjbWEK1SWXcMdpqfSCTQ3t4uCTednZ20OSgD6XQabrcbJpMJU1NT9J0SAB527jk8PMTc3FzRDVexcoxmC0ElTrK3twe/34/JyUkqp65jWNB0KqcdAAAgAElEQVQ/c8axkka568ZoNJZtLcACg202W0luCaK5EUVR6gI3Pz9fUqnTpz/9afz0pz/FM888g5GRkQqPlGgxqPSJqC5nCTW7u7s4PDzEzMxMlUdVnzz77LN47LHHaipWsLDgkZERVXkPFy1zymQy8Hq9aGtrg8PhaOhylmw2K+XccBxXNEej3gWoeoGFf0YiEQp5JBTEYjEpgF5NkDmDhaCy+RmPxxWth6kDXGMjCAJ8Ph+y2SycTmfTtpFuZgRBkFw3xYLEbTbbhcR6dhDkcDioBI6QYOKd3W7HxMSE6mdJJBLBu971Lrzuda/Dxz/+cTpAIioBCTVEdTlLqDk8PJS6MRDA888/j7t379bkxKdaYcHyjfj09DR6enrKMv56gi06mXiTyWToRF8FiUQCbrdbWjxR1ggBHLloQqGQ5PArR9lCLpdTZN0c7wBHJY2NAcdxcLvdGB0dxcjICP3OmgQWJM7mKDsAsVqt0nPUZDKd+vtm4l0ul4PT6SQhlpDY39+Hz+crSbwTRRE//OEP8dGPfhR/9md/hl/+5V+u8CiJFoaEGqL6ZLPZon+fSCSwvLyM17zmNVUeUX3ywgsv4MaNG1VdVFQzLDgej8Pj8aCrqwvXrl1rmY34aSf6bMFpt9tbOoSObcT39/cxOzt7bqkd0TrE43G43W709/djbGysYgIn6wDHhJtEIgG9Xq/IumnlOVpvsHsGK4GjduzNjyAIiMfjknCTTCbR0dEhzVGbzYb29nbE43G4XC6MjIyQeEdIFAoFBINBxONxXL9+XfU6O5/P45Of/CRefvllfO1rX5PyC8vJO97xDvzbv/0b+vv78eDBgxM/F0UR73//+/G9730PJpMJX/3qV3Hr1q2yj4OoCyhMmKg+Go0GxYRAnU53akeoVkSn00EQhKr9e2xB09nZWdGwYJZ5w3EcnE4nLBZLOYbfMGg0GlgsFlgsFoyOjgI4OtFnjpuVlRUIgiDV6Nvt9rLW6NczHMfB4/Ggv78fCwsL5DQiAJx00VT6ntHW1gabzQabzSa1V81ms+A4DgcHBwiFQtIcZRvDs070icqRTCaxtLSEvr4+3L59m34HLYJWq5Wejwzmutnf38fy8jLS6TQKhQLGxsYUryNam0wmgwcPHqCnpwc3b95Ufc9YX1/Hk08+iTe84Q34/ve/X7HDxd/6rd/CU089hbe//e1Ff/7v//7v8Pv98Pv9uH//Pt73vvfh/v37FRkLUb+QUENUHer6pESr1Vbl+6hmWPDe3h4CgQBGRkYwPT1Ni+r/Q6/Xo7+/X3IwFQoFqVzK7/cjlUpJnTHYaWEziRjsGozFYrh+/Tp14SAkmIuGbcRrdd13dHScmKPxeBzRaBSBQEDK0ZCf6FNmQeVgZbOsXNpqtdZ6SESNMRgMUpbN0tISBgYG0N/fj3g8jlAopHDGkXu1Ndnd3UUgEMDs7KzqzDtRFPEf//Ef+PjHP46/+Iu/wBve8IaKjvH1r389VlZWTv35d77zHbz97W+HRqPBvXv3EI1Gsbm5WRF3D1G/0OqCqDparbaqDpJ6pxrfx+7uLvx+P0ZHR7G4uFixsOBsNguv1wsAuHnzJgU8nkNbW5vitJB1xohGo4hEIvB4PNKJYqMHoB4cHEiB1STeEYxCoYCVlRXs7e1VxUVTKm1tbdKGb3x8XJGjsbOzg0AgUNHuNa1MJpOBy+WCxWLBwsJCy5TNEufDNuIzMzNS5p18Q86ccdFoFKurq+B5HhaLRXqOms3mpjoEIY4oFArSodft27dVr5dyuRw+8YlPwOVy4Yc//CEGBgYqPNLz2djYkJyeADA6OoqNjQ0SaloMEmqIinFa6RMtYJVU0mGUzWbhdrsBALdu3apoWPDGxgbW19cxOTmJvr6+yw++BdFoNDCZTDCZTBgeHgZwVCvNFpzhcBg8zysCUM1mc13PqXw+D7/fj2w2ixs3bsBoNNZ6SESdkEgk4HK50Nvb2zAlcBqNBkajEUajEYODgwCUQeLb29tIp9OSM451ryGRoTQ2NzexurqKmZkZ6txDSAiCAL/fj3Q6feZGvJgzjuVRra6uIpFIUBe4JiOdTuPBgwfo7+/HzMyM6nVROBzGk08+iV/5lV/B9773vbq5V9P+iQBIqCGImlMJRw2zi6+trVU8LDiRSMDj8cBms+HOnTt185BrFtrb29Hb24ve3l4AD0sxOI7D8vIyksmkoqVpZ2dn3fwOWJvUq1evYnBwkBYZBICja3h1dRW7u7twOp0NX86i1WrR1dUlnejLnXFbW1vw+XzQaDSKTeF5onmrks/n4Xa70dbWhtu3b1PJCiGRSCSwtLSE4eFhOByOkp4nxfKo5F3g1tbWkMvlFK4bi8XSEOIxAWxvbyMUCsHpdKKzs1PVe0RRxHe/+1188pOfxBe+8AX84i/+YmUHWSKjo6NYW1uT/v/6+rp0gEe0DiTUEBVDTXkNbdzKHybMwoLtdnvFw4JZ8Cd17ake8lKMsbExqRQjGo1iZ2cHfr9f2hSysqpql6Dlcjl4PB4AKMl+TDQ/rB17T09Pw7hoSqWYM47neWlTGIlEkM1mYTabpXlqtVqb8rsohb29Pfj9fkxOTqo6XCBaA9alMhKJYH5+vmzlkXq9Hn19fZIDWBRFyXWztraGeDwOrVarEFipnLu+YA6rbDZbkrCby+XwsY99DIFAAD/84Q/r8n7zxBNP4Itf/CLe+ta34v79++js7KSypxaE2nMTFYPn+VMFiOeff57cF//H2toaRFHE2NjYpf47giAgEAggGo3C6XRWNCx4f38ffr8fw8PDuHLlCgludQbbFLLW4NlsFhaLRRJuLBZLRX5noihia2sLKysrtNkiFDSbi+ayiKKIZDIpzVP5ppC541plUygvZ5mbm2uZz02cTy6Xw9LSEoxGI6anp6u+ZmSlx+wPCaz1QyqVwoMHDzA4OFjSOnR1dRVPPvkk3vzmN+NDH/pQzfYhv/Ebv4Ef/ehH2Nvbw8DAAD7xiU9IHXHf+973QhRFPPXUU/j+978Pk8mEr3zlK1hYWKjJWImKc+rFS0INUTHOEmpefPFFPPLII7QgA6TT1WvXrl34v7G7uwufz4crV66oemBdtMwpl8vB5/OB53nMzs6Sfb9BYCeFrDV4IpFAR0eHYlN42c416XQaHo8HHR0dmJ6eppIFQoK5aLq7u3Ht2jXa2JyCPI+K4zjkcrkTeVTN9t1xHAe3243R0VGMjIyQ6E9I7O/vw+fzYWpqqm5y7+QCK8dxiMfjUlkVe5bSuqjysAMhNR1MGaIo4l//9V/x6U9/Gn/1V3+FX/iFX6jwKAlCNSTUENVHEIRTQ3JffvllTE9PU3teHOV4cByH6enpkt+byWSkEhM1wsllwoIjkQjC4TA5JZoE1rmGbQpFUTyRoaH22lhfX8fGxgYFfxIKRFHE6uoqdnZ2yEVzAeQCK9sUNkvb4UKhIJXOzs/Pw2Qy1XpIRJ3AOvckk0nMz8/X/YFePp9HLBaTxJtMJgOTyaRw3ZB7vDwIggCv1wue5zE3N6f6gCmbzeIP//APEQ6H8dWvflXK/COIOoGEGqL6nCXUPHjwAFeuXFEd+tXM7O/vY3d3F7Ozs6rfIw8LnpmZUXXadFEXTTKZhMfjgdlsxtTU1KWdF0R9IgiCtNCMRqPIZDIwm83SKWExi3cymYTb7YbNZsPk5CQtRgmJZDIJl8uFrq4uTExMNJ0TpFbkcjlJuIlGoxAEoaG6wAEPr43e3l5cvXq17sdLVI9kMomlpSUMDAxgbGysIa8NURSRSqWk52ksFoNGo4HNZiv5IIR4CAuTHhkZKcl9FwqF8OSTT+LXfu3X8Pu///v0LCLqERJqiOpzllDj8XjQ19eHnp6eKo+q/mDBddevX1f1+lgsBrfbDbvdjqmpqXM3x8fDgtU+3NiJ5/7+PhwOB4lqLQazeMtP83U6Hex2O2w2G2KxGPb39zE7O0vXBiHBXDTb29uqsrKIyyHvAheNRpFMJste1lgu2AHD5uYmXRuEAlEUsbGxgY2NDczNzTWd+47neYXrJp1Ow2g0Su64eurWWI8wR/f8/Lzqa0MURfzzP/8zPvvZz+Kv//qv8fjjj1d4lARxYUioIapPoVCQgrGOEwwGYbFYMDAwUOVR1R+JRALBYBA3btw483U8zyMYDCIajapayFwmLPjw8BBerxeDg4MYGxujEwgCwNFpfiQSwerqKtra2tDe3i7V5tvtdhiNRjolbGGYw8put5OLpoYUK2u0Wq01naeZTAYul0tyZtKmlGDkcjm43W7o9XrMzMy0xLUhiiLS6bTCdSOKouS66ezshMlkavnnqSAIcLvdAI7K+9WKzplMBh/5yEewtbWFv/u7v6NDYaLeIaGGqD5nCTUrKyvQ6XQYHR2t8qjqD7aAvXXr1qmvuUhY8EVcNPl8Hj6fD7lcDrOzszAajSV9FqJ5EQQBy8vLUlcxi8WCQqGAWCwmhRSn02lFbb7NZqPNegsgiiLC4TC2trbIYVWHCIKAeDwuCTepVEo6zWfztJKbYxb8SRlWxHEODg7g9Xop+w5H81TuukmlUjAYDArXTb2446pBPB6Hy+XClStXMDw8rPp9fr8f7373u/Hrv/7r+MAHPkBrEKIRIKGGqD6iKCKXyxX92fr6Oniex9WrV6s7qDokn8/jZz/7Ge7evXviZ5lMBm63G21tbZidnT03VO8yYcFsMX3t2jUMDAy0/EkO8RDmsDqvHTs7JWTCTSwWg1arlUow7HY79Hp9lUdPVJJUKgWXy4XOzk5MTk7SorgBEEURmUxGEm44jpMyNOSday77DMjn89Lzy+FwNGzwMVF+CoUCgsEgYrEY5ufnqVNSEdg8lbcHZ+44Jtw0QiZVqcjL4Obn52GxWFS/79vf/jY+//nP40tf+hIWFxcrPFKCKBsk1BDV5yyhZnt7G4lEApOTk1UeVf1RKBRw//59PPbYY9LfsRPq9fX1iocFp1IpeDweGAwGaqtMKOB5Hn6/H+l0Gk6n80IOq3w+rwg/5XleKsNo1oVmKyDPGyEXTePDMjTYXGWda9g8LdUdx1orT0xMUIkzoSCVSmFpaQl9fX0YHx+n+38JMHccE27kmVTsTyOv4Xieh9vthlarhcPhUO30S6fT+PCHP4yDgwN8+ctfRldXV4VHShBlhYQaovqcJdRcpNNRM/Pss89KQWexWAwulwvd3d2qOulcJiyYtc51OByw2+2X/hxE87C7u4tAIIDx8XEMDQ2VbTFdLPzUYDBI+RmVLsMgLk8qlZK6fU1MTNDvqwlhnWuYcMPccfLW4MUcnoIgSOLu3Nxc3bdWJqqHKIrY3NxEOBzG3NwchUmXieOuG3knuM7OTlgsloYQw9jal6051OL1evHud78bb3vb2/DUU0+Rq5NoREioIWpDNpst+veldjpqdp599lncvXsXgUAAHMdVPCw4Go3C6/Wiv78f4+Pj9GAjJHK5HHw+HwRBUFVud1lOK8Ngm8HTNoRE9WEumkgkgtnZWRJ3W4x8Pi/N0Wg0ilwuB4vFIs1VQRDg9XoxOjpaUvtcovlhZXDMKdFKWSvVRn4YwnEcEokE9Hq9wnVTTyXIoihifX0dm5ubmJ+fh9lsVv2+b33rW/jLv/xL/O3f/i0WFhYqPFKCqBgk1BC1IZfLodg1lkwm4ff78eijj9ZgVPXHj3/8Y+h0OoyNjWF0dLSiYcGBQADpdBqzs7MwmUzlGD7RBIiiiO3tbYRCoZqXK/A8L20G2YaQnRDa7faGOSFsJtLpNFwuF6xWqyqnH9H8iKKIRCKBw8NDbGxsIJ1Ow2w2o7u7WyqZqqcNIVEbWMYZy78jqk82m1W4bniel0RW5rqpxYFdPp+Hy+VCR0cHpqenVT9XUqkUPvShDyGZTOJLX/oSHRoQjQ4JNURtOE2oyWazePXVV1teAWdhwQcHB3jd615X0bDgnZ0dLC8v4+rVqxgcHKSNLiGRyWTg8XjQ3t6OmZmZuqtxZxtCJtwkEgmpLp9tCOmEtjKw086NjQ1y0RAnSCaTcLlc6O3txfj4uEJklW8I2TwlkbV1KBQKUqfA69evU2BwHVEoFJBIJBSuG51Op3DdVNrJynEc3G53yQKe2+3Ge97zHrzjHe/Ae9/7XnKEE80ACTVEbThNqBEEAS+88ALu3btXg1HVHhYWvLGxgZmZGfj9fiwuLp75wLloWHA6nYbH44Fer8f09DSdcBISrLvC+vo6pqen0dPTU+shqYbV5bMNoSiKivwMai1/eZiLxmKxYGpqilw0hAQT8CKRCJxO56l5I2xDyObpcZHVZrPVnTBMXJ50Oo0HDx6gp6cH165dI3GuAcjlcgrXjby0sbOzE1artSyiCFv/7uzsYH5+XrWzWxRFfOMb38DTTz+NL3/5y7h58+alx0IQdQIJNURtyOfzkvtDjiiKeO6556QA3VaiWFjwCy+8gBs3bhQVUS4TFsy6sszMzKC7u7vcH4VoYFggbLNswgVBUORnZDIZmM1mKeemVtbuRkQu4DkcDuqgQSjIZDJwuVwwm80XuncUCz+VtwY3mUy0sW9gNjc3sbq6Sg68Boc5Wdk8jcfjikDxzs7Okl1SuVwOS0tLMJlMmJ6eVv1MTiaT+L3f+z3wPI+nn36augwSzQYJNURtOE2oAZSdjloB1uo4FoudCAv+3//93xPtjy8TFsxxHLxer3SaRRtUglEoFBAOh7G9vd3U3b5EUUQymZRO8uPxONrb2xXlUnSSf5J0Og23233hTTjR3GxtbSEUCsHhcJRN/C8UCorW4KlUSuoExzaEdB3WPzzPw+PxAABmZ2epHLUJkQeKcxyHbDYLs9kszVObzXbqejMajcLj8WBychJ9fX2q/02Xy4V3v/vdeM973oN3vetdtJ4lmhESaojaQELNETs7O/D7/RgfHy/aDeOVV17BtWvXJPHmoi4anucRDAYRj8fhdDpVp+cTrUE8Hofb7W5ZAS+Xy0k5NxzHoVAowGq1Sq4bo9HYsif55KIhziKfz8Pj8UCj0cDhcFRU5DzeCS4Wi50obTQYDC07V+sRtgkvtbUy0diwAxG564Z1bZRn3ayurmJ/fx/z8/Oqy5JFUcQzzzyDL33pS/jKV76CGzduVPjTEETNOPVhRnI3UVHUdC9q5sUWCwvWarVYWFg4NZxNq9VK+TMXddHs7OwgGAxibGwMMzMzTf29EqXBQh0PDw/hdDrPbf3erOj1evT396O/vx+A8iTf5/MhnU7DZDIp8jNaQcxipSwmkwl37twh9wKhYH9/Hz6fr2rd4DQaDYxGI4xGo7Tpl5c2ejweZDIZxVy1Wq103dYAURQRCoWwv7+PGzduUDZYi6HRaGCxWGCxWDAyMgLgYddGjuOwsbEBjuPQ0dGB4eFhZDIZ6PX6c+dqPB7HBz/4QWi1Wvz3f/83LBZLNT4OQdQd5KghKgrP8xAEoejP7t+/j9u3bzelPVYURayuriISiWBmZga9vb1nvp6VKdnt9pLDgjOZDLxeL9ra2uBwOCgsmFAQjUbh9XoxODiIsbExEvDOQBRFpFIpKecmFotBq9VKJRh2u72p5pcoiohEIlhbW6McK+IEgiDA7/cjnU5jbm6u4l1gSuH4XJWf5LP5Sl2GKks6ncbS0hK6urpa0qFJnM3BwQG8Xi+mpqZgMpkk8SYWi0li7LPPPovXv/71cDgc0vXz6quv4n3vex9++7d/G+985ztpzUK0AlT6RNQGQRDA83zRn7300kuYn59vusUUaznY09ODiYmJc08ORFGUWlgODAygq6tL1XciiiLW1tYQiUQarmMPUXlYGVwikYDT6VTdWYFQks/npRKMaDQKnucV5VKNGnzK3H5GoxFTU1NNKZgTF4c9x0ZHR4uW69Yjx1uDs/wMJtyUq2sNcZRVtLKyQmWSxAnka9rT1viCICASieDpp5/Giy++iI2NDYyOjqK/vx+vvPIKnnnmGSwuLtZg9ARRE0ioIWrDWULNK6+8gomJiaaxNLKw4Hg8jrm5uXM/l7zMSV6CEY1Gkc1mYbFYFB1r5AvleDwOj8cDu92uSgwiWgtWqnDlypWG2WQ1CoVCAfF4XNoQJpNJKfiUlUvV83wkFw1xFoVCAaFQCAcHB5ibm2vonLNigeLN7JCrBjzPw+v1QhAEOJ1OCmQnFGSzWTx48EBam6pde0SjUbz//e9HPB7H1atX8fOf/xyCIGBhYQH37t3DY489hqmpKVrLEM0KCTVEbThLqHG5XBgaGmqK05jt7W0EAoFTw4KPc15YMGuLyISbRCIBg8EAm82GZDKJTCbT0lkjRHHy+Tx8Ph/y+TxmZ2ebzq1Wj8iDT1m5lLwEw263103JCHPRGAwGTE9Pk4uGUJBMJuFyudDT04OrV682pfskl8sputbk83lYLBZpvh4/FCEewlxWY2NjGBoaou+JUMAOiErtCPfzn/8cv/M7v4Pf/d3fxW/+5m9K11U6ncZLL72E559/Hs899xz8/5+9O4+Pu67zB/6a3NfMZJr7aNIkzZyB2jaxTVr3wS6u+NCV9eGD7rK7uosYFLmKItJuBSuCKCqKAooLiIVtkdVV1l0e5QFVm16Eo0jJXLmbsznnPr/H5/dHf98vM+RopslkZpL38/HgD5pJ80nz/Wa+n/fnffT0YOPGjbjmmmtwxx13xOvbICQRKFBDEkMURXAcN+/Huru7odFoYhrTl2ykUbYZGRnQ6/WXPJ1bTrPgsbEx9PX1IScnB6IoIi0tLWozSCeD69vExAT6+/tRV1eHsrIyeohOoMgSDKfTiXA4DKVSmbDNIGMM4+PjGBoaojJJMgdjDCMjIxgbG4PBYIBKpUr0klaNKIrwer3y/er1epGVlRXV62a9Z40wxjA4OIjp6WmYTCYqoyVRpGEFbrcbJpNpyQcToijimWeewXPPPYdnn30WJpNp0ddL5f6Dg4P4q7/6q5VYOiHJggI1JDEWC9T09/dHTXVIJaIoYmhoCGNjY9DpdEva+DDG5MlOsQRoQqEQ7HY7AECn08lvghzHRW0GeZ6HSqWiUcPrTCgUgs1mQ3p6OrRaLQXsktB8GXLZ2dnyRlCtVsctu0XKosnOzoZWq6UsGhJFmviVn5+PzZs3J3XZ3moJhUJRvW4EQZD7UqnVauTn56+b99ZgMAiz2Qy1Wo36+vo1mWVFLl8wGERXV5echbfU+8LlcuG2225DYWEhfvrTn1Lwj6x3FKghibFYoGZoaAgKhQIbN25c5VUtz+U0C47Molnqgw5jDKOjoxgZGUFDQ8MlM48+2OdGGjWs0WjkU3x6yFo7pF4jUpbEpSaLkeQSDAajNoMAogKtyy1bY4zJDT+1Wi1l0ZA5Iq8P6lW0MKkvlXSv+ny+VQu0JtLk5CT6+vpiLmUh68PU1BR6e3uh1+tjamHwzjvv4NZbb8Vdd92Fz372s+sm6EnIIihQQxKDMYZwODzvx8bGxhAKhVBXV7fKq7o8y2kWDMRW5uT1emGz2aBSqdDQ0HBZp5zS+FKHwyGf4mdmZsobwbX6cLkeSCV3eXl5NLFnjRAEQe6b4XQ6EQwG5Yk1sQZaQ6EQrFYrsrKy0NjYuO5LN0g0juNgs9mgUCig0+no+rgMUl8q6Z5ljMmBVrVandIZrYIgwG63g+M4GI1Guj5IFFEU0dvbC5/PB5PJtOQsXlEU8Ytf/AIvvPACfvWrX8FgMMR5pYSkDArUkMRYLFAzOTkJl8uFxsbGVV5VbBhjmJiYQF9f34o1C16IIAjyxA29Xr/ivQJCoZCccSOd4idj01Myv8iR7DQWdW2LnFgTGWhdrHdGZBYNZVmR+czMzKCnp0fuZUVWhiAIcLvdcqA1EAggNzdXvleTfRqcxO12w2KxpNRYdrJ6AoEAurq6UFJSgtra2pimOt16660oKSnBo48+itzc3DivlJCUQoEakjihUGjeP5+dncXExERSR9WlzIXMzEzodLq4NguWHqArKyuxcePGVXlAWqjpqRS4WU+1+MnO6/XCarVCo9Ggrq4uJR76ycoKh8NRgVZRFOX7NS8vD4ODg8jMzIRWq6VTcBJFEAT09PQgEAjAaDRSUD7OGGMIBALy+2vkNDgp2JpMU/kYYxgaGsLExARMJlNKj2Un8TE5OYn+/n7o9XoUFhYu+fPeeust3H777bjnnnvwT//0T/RMSchcFKghibNQoMbtduP8+fO44oorVnlFlyaKIs6fP4/x8fG4NwsOh8Po7u4Gz/MJH6ksTcCQNoM+n08+FSwsLIRKpaI+N6tMFEUMDAxgZmaGRrKTKNIp/sjICKamppCZmQmVSiVvBOl+JcDF91qr1YrKykpUV1fTRilBpIMRKXgTCoWQn58v369KpTIh92soFILZbEZBQQE2b95MvzNIFFEU0d3djVAoFFMpnCiK+NnPfobf/va3OHToELRabZxXSkjKokANSZxwOIz5rjO/3w+73Y6tW7cmYFULc7lcsFgsKCkpWdKUg+U0Cx4fH8f58+fR0NCA0tLSZa99pTHGEAwG5T43brcb6enpcuCmsLCQTu7jyOVywWazobS0FLW1tfQATaKEw2FYrVZkZGTIE538fn/UKX7k/apWq2kq2DoiiiIGBwcxMzMDo9FIWRJJRipvlO5Xj8eD9PT0qPLGeGc+SQ1hqeE4mY/f70dXVxfKy8tjyvSenZ3FLbfcgurqajzyyCNJlT1GSBKiQA1JnIUCNeFwGO+++y5aWloSsKq5eJ5Hd3c3fD4fDAbDkpsFM8ZizqLx+Xyw2WzySNRUagYbDoejyqVEUZwzrYZObJdHEAT09fXB7XbDYDDQBovMMTExgf7+fmzevHnRiXAcx8mlUk6nEzzPR5U35uXl0f26Bvl8PlgsFnlsLgV5UwPHcVHT4MLhMAoKCuTAzUpNb5RK4YLBIIxGIwVwyRxSvzOj0RhTv8Q33ngDe/fuxYEDB7Bnzx56f2Aa5IsAACAASURBVCHk0ihQQxKH4zg52ySSKIro7OxEa2trAlb1vshmwZs2bUJlZWXcmgVHlrHodDqo1eqV+BYSSiq/kAI30rSayLHg9Ea9dLOzs+ju7kZVVRWVKZA5wuEwbDYb0tLSLmtiT+SoYafTCb/fj5ycnKjyRup/lLoYYxgZGcHY2BgMBsOKN6Qnq4sxJpcju1yuqKbi0n+xBlm8Xi/MZjOVwpF5SVO/eJ6HwWCIqdTppz/9Kf7whz/g0KFD2Lx5c5xXSsiaQYEakjgLBWoA4PTp02hra1vlFb3P7/fLY2zj3SzY4XDAbrejvLwcNTU1a/aE84PTajweD7Kzs6PKL2gjOBfHcejp6UEoFILBYKBUYTKHlEWzkqWSUnmjdL9GNj2laXCpJRgMwmq1Ii8vD5s3b6bfs2uU1FRc6ncjZclJ9+xCQwCkqYHj4+MwmUyXzBom64/P50NXVxeqqqpimvo1MzODm2++GfX19fjBD36w4u8ZR48exd69eyEIAtrb27Fv376ojw8NDeHf/u3f4HQ6IQgCvvvd7+ITn/jEiq6BkDiiQA1JnGQM1EQ2C9br9diwYcMlP+dymwVzHIfu7m6Ew2Ho9fp1OZYwciPocrmgUCii+tys97TryclJOaOrvLycTjhJFCmLRqFQQK/Xx70v1AenwXEch4KCAnkjSFlyyUcK4lGvkfVHypKT7lmfz4fs7OyoXjeiKMJsNlMQjyxobGwMQ0NDMJlMMQ0tOHPmDL7yla/gm9/8Jj7zmc+s+HuDIAjQarV49dVXUV1djZaWFhw5cgRGo1F+zRe/+EVs3boVX/7yl2GxWPCJT3wCg4ODK7oOQuJowZsmdRpjkJSVbA/0TqcTVqsVJSUl2LlzZ8zNgpcapGGMyTW+dXV1KCsrS7p/i9WSk5OD8vJylJeXA3h/I+hwODA0NLRu+2ZEbsC3b9++7gNWZC4piLeaDcczMjJQVFQkb/hFUZSz5AYHB+H1eqOy5FQqVUr12VpLOI6DzWYDADQ3N1Nz93UoLS1NLoOqqakBcPFwxOVyYXp6Gna7HYFAABqNBkqlEsFgcN28x5JLEwQBNpsNjDE0Nzcv+Xe5IAh49NFHcfToUbz00kuoq6uLy/reeOMNbN68GfX19QCA66+/Hi+99FJUoEahUMDtdgO4OIShsrIyLmshZLXRkxVJKIVCAVEUV6UMSCot8fl8uPLKKy/ZoHU5zYL9fj9sNhtycnLo4Xke820Epb4Zvb298Pv9yMvLkzeCiRpbGi+RE78u1QyWrE/hcBh2ux0AEh7ES0tLg1KphFKpxMaNGwG8nyUnTY0BMKepOImvmZkZdHd3o66uTg6CEwJcPBzJysqC0+lEbm4utm7dilAoFPUeK/WmkoI8lGWz/kj9iqqrq5fUn1EyNTWFL33pS9Dr9Th27Fhcy2NHR0fl9x0AqK6uRmdnZ9RrDh48iI997GP46U9/Cp/Ph9deey1u6yFkNVGghiRURkYGeJ6P6yYksllwXV0dDAZDzM2ClxokkEqqJicnodPpUFhYuBLfwpoXeSJYW1sLxhj8fj+cTidGRkbg8XiQkZGBwsJCaDQaqNXqlD3BDwQCsNlsyM7OpiAemZeURVNfX4+ysrJEL2deH8ySEwRBLr0YGxtDKBRCfn6+HLhZqWk15OK/dW9vL3w+H7Zu3UpBMTKH1+uFxWJBeXk5tFotFAoFcnNz5WeSyN5Uk5OTUcFWqWSKJjiuXYwxjI6OYnR0NOZ+RSdPnsTXvvY13H///fj7v//7uF8j87Xo+ODXPHLkCG644QbcddddOHPmDD73uc+hq6uL3nNIykvNnQ5JKYv9Eo93oEZqFpydnY2Wlpa4Ngt2Op2w2+0oLS1FS0sLvUEsg0KhQH5+PvLz81FVVQXg/QaKMzMz6OvrA2MsquFpsm9WpGkso6Oj0Gq1S+qLRNYXjuNgt9shimLCs2hilZ6ejg0bNsjXdWRT8aGhoahpNdIpPgUpY+d2u2G1WlFZWSlvwAmRRG7AjUbjgr1GpMBNbm4uKioqALwfbHW5XLDZbHKJlHTPqlQqeq5ZA3ieh9VqRXp6Opqbm5ecSSUIAn74wx/i2LFj+MMf/oDa2to4r/Si6upqDA8Py/8/MjIyp7Tp6aefxtGjRwEAra2tCAaDmJ6eXrVyYULihQI1JKGkQM1KE0URg4ODuHDhwqo0C+7t7UUgEMAVV1yBvLy85S6fzCMrKwulpaXyG+98J/iRfW4WmnyRCD6fD1arFSqVCi0tLZRiTuaQSoiSOYsmFgqFAgUFBSgoKEB1dTUAIBQKweVyYXZ2FgMDAxBFMeoEPzc3N2nu2WQjvafNzMygqanpkqW7ZP0Jh8PyFMtYNuCS+YKtfr8fLpcLY2NjsNlsSE9Pl7NfaSJc6vF4PDCbzaitrZUDdEsxOTmJm266CVu2bMGxY8dW9RChpaUFPT09GBgYQFVVFV544QUcPnw46jU1NTU4duwYbrjhBlitVgSDQSopJ2sCTX0icSeKIjiOm/djVqsVZWVlK5pd4HA4YLPZUFpairq6urg2C56cnER/fz9N60kCjDF4vV44nU44HA74fD65Bl86DVztAElkKZxer4darV7Vr0+Sn5RFIwgCDAZDSmXRLJcgCHJvKqfTiUAgsKZ7U10uv98Ps9mMoqIibNq0if5NyByzs7Ow2+1xbzrOcRzcbrc8wTEUCs2ZCEfXZ/KRMnql0eyxBHo7Ojrw9a9/HQ8++CD+7u/+LiHPuS+//DLuvPNOCIKAG2+8EQcOHMB9992H5uZmXHvttbBYLLjpppvg9XqhUCjw8MMP42Mf+9iqr5OQy0TjuUniLBao6enpgVqtXpEHC2kMdiAQgMFgiGuzYKnPSFZWFhobG9fV5ipVRNbgO51OuN1upKWlyZtAtVod15+b2+2GzWZDcXExba7IvKQsGmoGe1HkCb50z6anp6/aPZtsIsslDQYDBXrJHKIooq+vDx6PB0ajcdVLgCNLHJ1OJ7xeLzIyMqJKHNfTPZuMOI6DxWJBVlYWtFrtkg+seJ7H97//fXR0dOD555+PauhLCFlRFKghibNYoGZgYADZ2dnLGqUnjcHu7+9HXV0dKioqYm4WvNQAjSiKGB4exvj4OPUZSUEcx8kPlE6nE4IgRE2qWYnSC0EQ0N/fD6fTCYPBEFOTPrI+SEFlnueh1+upfGARkfesy+UCz/NRJY5rdcxwKBSCxWJBbm4uGhsbqVySzOHz+WA2m1FaWora2tqkuQ/C4bAcbJXu2YKCAjlwU1BQkDRrXetcLhesVivq6upiKqm9cOECbrrpJrS0tODb3/429RMjJL4oUEMShzGGcDg878eGh4fBGENNTc1l/d2RzYK1Wm1cmwVLGRJFRUVLKqkiyU8URTmNWyq9WM6kGofDAbvdjsrKSmzcuJEeRskc09PT6OnpoXLJyySKYlS5VOSY4USVOK60iYkJ9Pf3Q6vVoqioKNHLIUmGMYaxsTEMDw/DaDRCpVIlekmLEkVRLkt2uVzwer3IysqKGg1OgYCVxRjD0NAQJiYm0NTUFFPvxD/96U/Yv38/vve97+HjH/84vUcREn8UqCGJs1igZnx8HIFAAPX19TH9nVJjxYmJCej1emg0miWt43KaBfM8L6cWL6WkiqSu+dK4MzMzo0ov5hsLzvM8enp65LK73NzcBKyeJDMpi4bjOBgMBsqiWSELlTimYsNTqV8RYwx6vZ42r2QOjuNgtVqRkZEBnU6XskHJUCgkB25cLpec3Srds2s1U241cBwHs9ksZ+Mt9bCJ53k89NBDeP311/H888/LEzcJIXFHgRqSOIsFaqampuBwOKDVapf8961Ws2DgYqf7vr4+1NTUoLKykh4c1iHpgVJ6qAQQNRbc7Xajt7dXnqJA1wj5oJmZGXR3d1MWzSrheV4uvXA6neA4Ti69SLaJcJLZ2dmoa4SQD5KefdbKZLhIUnardN9KmXKRo8HnOyQh0ZxOp3yNxNL7cXx8HDfddBPa2tpw8OBB+rcmZHVRoIYkVigUmvfPHQ4HxsfHYTQaL/l3RDYLNhqNl0zllJoESw2DYwnQBINB2O12pKWlQafTUTM8IpM2gTMzMxgfH4coiigqKsKGDRug0WjoJJDIeJ5Hd3c3wuEwZdEkkFR6IW0CvV4vsrOzozLlEpWZIAgCent74fP5EtIMliQ/URTR398Pl8sFk8m0Lq4RKVMusrE4YywqUy4nJ4fea/8/xhgGBwcxPT2NpqamJWf1MsZw7NgxHDhwAD/4wQ9wzTXXxHmlhJB5UKCGJFY4HMZ815rH48HAwACuvPLKBT+XMYbx8XEMDAygvr5+SSfSl9ssmDGG4eFhjI2NobGxkfoDkDkYY5iYmMDAwAAaGhpQXFwcNRbc7/cjNzc3qmcG9TNaf2ZmZtDT04OamhrKtEpCHyyXAhDVWHw1NsNutxtWqxWVlZWorq6ma4TMIY1ml6YHrudrRBCEqNHggUAAeXl5cuBGqVSmbCnYcoTDYZjNZhQUFKChoWHJzxscx+GBBx7A2bNn8dxzzy1rqAchZFkoUEMSa6FATSAQgNVqxbZt2+b9PL/fL0++0Gq1l6zZX06Zk8fjgc1mQ2FhIerr69flGz5ZXDAYhM1mQ2Zm5oLXI2MMgUAgahOYkZERdXpPvSfWLqlfUTAYhMFgWBen32uBIAhR5VKhUGhZjcUXI/VYm5mZgdFopL5nZF7j4+M4f/48jWZfQOR7rcvlgtvthkKhiBoNvtZ//87OzsJut6OxsRHFxcVL/rzR0VG0t7fjqquuwr333kulToQkFgVqSGItFKjheR5nz57Fhz/84ag/F0URAwMDmJycjHuzYEEQ0NfXB5fLBb1eD6VSubRviqwbjDGMjo5iZGTksjKtwuFwVJ8bURTnjAUnqU/qM0JZNKlvscbiy5lUI2VIbNiwgaYHknlxHAebzQaFQgG9Xk+b6BhE9qdyuVxRAVe1Wg2lUrkm7jnGGAYGBuBwOGIqh2OM4dVXX8V9992HRx55BB/96EfjvFJCyBJQoIYkFsdxcpZLJMYYzpw5g7a2NvnPpIZ5ZWVl2LRpU1ybBU9PT6O3txdVVVWUek7mJY2ALygowObNm1ck0yoyhdvpdCIYDEY1Oy0oKKBrMYVQFs36EAqFojaBHwy4LtYzIzLYSxkSZCFSM1hqKr0yIgOuLpcLHo8H6enpcuCmsLAw5XoQhkIhdHV1Qa1Wo76+PqZSp/vvvx/vvfceDh06RNcXIcmDAjUksRYK1ADA6dOn0dbWhnA4jO7ubgSDwbg3Cw6FQrDb7QAAnU5HTT7JHKIoYmhoCBMTE9DpdCgsLIzb15IeJh0OR9I1OyWLk7JoNm7cSJPh1hkp4CoFb6SeGdJ9K53eh0IhuYS3sbGR7mUyh5RFLGVIUJZl/HAcFzUaPBwOQ6lUyoGbZD4okSYIarXamDJ7R0ZG0N7ejo9+9KM4cOAA/Q4iJLlQoIYkFs/zEARh3o+dOnUKdXV1q9YseHR0FMPDw9i8eTNKSkpi/l7I2ufxeGC1WlFUVJSw8oTIZqculwsKhULeAKbiKeBaIwgCenp64Pf7aVoPAXDx/cXv98v3rcfjgSiKCIfDqKmpwcaNG6k/FZkjEAjAbDZDo9FQOVwCiKI4J+smKysrqtdNou9bafKX2+2GyWRa8uEiYwxHjx7Ft771LTz66KP467/+6zivlBByGShQQxJroUCNz+fD6dOnUVlZGfdmwV6vFzabDSqVCvX19VT3TeaQHoYcDkfS9SviOC6q2SnP81AqldBoNHKfm2Q9BVxrHA4H7HY7qqurUVVVRf/uZA6O42C32yEIAkpLS+Xx4NJ9KwVc8/Ly6PpZxy5cuIDBwUHo9fq4Zm2S2HywzFEQBPm+VavVyM/PX7X7NhgMoqurS+5rtdSvGw6HcfDgQdhsNhw6dAilpaVxXikh5DJRoIYk1gcDNZHNggVBQGtr6yVTMaVmwaIoIi0tLaZmwQMDA5idnYVer4dKpVrW90LWJqk3QEVFBWpqapJ+8ySKIjwejxy48fv985ZdkJUTmUVjMBioPIHMSyqHm6/PyHz3bW5urnx6r1KpqCxhHeB5Hna7HaIoQq/XJzxjgywu8r51uVzw+XxyebLUXDweh39TU1Po7e1d8lANydDQEL7whS/gk5/8JO655x76nUJIcqNADUksQRDA8zyAiw+xNpsN5eXl2LRpE86ePYsrrrhiwVTO5WTRzMzMoKenB5WVldi4cWPSb77J6uN5Hr29vfD5fDAYDJfsjZSs5iu7kKbUSA+TlEV2+SiLhlyKIAjy75KllsMxxqLKHN1uN9LS0qLKLqiH2tricrlgtVppOlyKk+5bqdcNYwwqlUq+d5eT5SqKovy7xGQyLbnUmTGG//3f/8WDDz6Ixx57DH/1V391WV+fELKqKFBDEksQBPj9fnR3dyMUCkVtiP/yl7+gsbER+fn5UZ8jXZuXM3JbakzM8zz0ej31jyDzkgJ5a7URrJS+7XA45AdJ6SFSmlJDFidtvr1eL4xGI2XRkHm53W5YrVZUVlYue4Igx3FRU+E4jouaCreaZRdk5TDGMDg4iOnpaZhMppQ9FCDzm6+5+OVkywUCAXR1daGkpAS1tbUxDcm49957MTAwgGeffZZ6MBKSOihQQxJrenoa586dQ0NDA8rKyqLeeLq6urBx48aocaXLaRY8Pj6O8+fPo6GhgWpyybw4jkN3dzc4jltXgTxBEKL63IRCoah+GbQBjCaVw1VVVS17803WpsjNt9FonHPgsBJEUYTX65VP72kqXOoJBoMwm80xj1QmqYsxhkAgIL/nut1uKBQKqFSqBQ9LJicn0d/fH3PPooGBAbS3t+PTn/407r77brq+CEktFKghiRUKhcBx3Lx12DabDSUlJSgqKlpWmZPP54PNZkN+fj42b95MZR5kXhMTE+jv70d9fT1KS0vX9eabMQav1yuPBff5fMjJyUFhYSE0Gg1UKtW6fOATBAF9fX3weDyURUMW5Pf7YTab5Safq3mvfLBcCsCiG0CSONJ7jk6nw4YNGxK9HJJAPM/L2XIulwvBYBD5+flQqVRwu90QBAFNTU1L7lnEGMNLL72E7373u3jiiSewe/fuOH8HhJA4oEANSSxRFMFx3Lwf6+3thVKpRGlp6WU1C5YaE8/MzECn00Vl5hAiCYVCsNlsSE9Ph1arpfHW81ioX0bkWPC13vSSsmjIpTDGMDo6ipGRERgMhqR4z4ncAErZcgUFBXLZRUFBwboMuiaSIAiw2+3gOA5Go3HN/+4ksWOMYWZmBjabDVlZWRBFEenp6UvqURUMBnHgwAGMjo7il7/8JYqKilZ59YSQFUKBGpJYiwVqBgcHkZ6eLk/HiCWLRmrwWV5ejpqaGnoQJXMwxjA2NoahoSE0NjaiuLg40UtKKRzHyZs/p9MJQRCgUqnkseA5OTlrIpghCAL6+/vhdrtTuqk0ia9QKASLxYLc3Fw0NjYmbckRYww+n0++b71eb1RzcZVKRYGDOHK73bBYLGu2/xlZGdJ49siAL8dxcoNip9OJw4cPY2BgAB/+8IfxkY98BC0tLRgZGUF7ezv27NmDr3zlK/TsS0hqo0ANSSzGGMLh8Jw/AyCfJmRmZkKj0UCj0Vyy5p7jOPT09CAUCkGv11NpApmX3++H1WqlcrgVJIqifHLvcDjk1O3IseCptilxuVzyaHaaDkcWIpWwaLXalDy9lpqLS2UXoijOKZeia395GGM4f/48JicnYTKZ4tKziKQ+QRDkPnkGg2HRoCnP83j77bfR0dGBN954A1arFS6XC5/61KewZ88e7Ny5MyV/HxFCZBSoIYn1wUDNfM2CQ6GQvPlzuVxQKBTyA6RGo0FmZiYYY/IJRF1d3ZzGxIQAF6+voaEhjI+PQ6fTQaPRJHpJa9Z8J/dZWVkp0ehUFEX09fXB5XLBaDRSFg2ZF8dxsNvtEEXxkpuqVCJNqZECN4FAAHl5eVFBVzqpX7pQKASz2QylUomGhgb6tyPz8vl8MJvNqKioiKm8NhAIYN++fZiensZDDz2E7u5unDlzBmfOnIHb7caHPvQhtLa2oq2tDQaDga4/QlIHBWpI4oVCoZiaBUvpn1KjU47jwPM88vLyoNPpoFQqV3P5JEV4vV5YrVZoNBrU1dUlbZBgLQsGg/K9KzU6jRwLvlDN/WqSsmikskkK+JL5zM7Ooru7G7W1taioqEj0cuKKMQa/3y8HXT0eDzIyMqLu3bUSpFppU1NT6O3tTdlsK7I6pKmkJpMppmfY7u5ufPGLX8S//Mu/4Pbbb58ThOE4Du+++y5Onz6NM2fOwGKx4M4778TnP//5lf4WCCErjwI1JPGCwSAEQQBjLKY+NKIo4vz585iYmEBVVRV4nofD4YgaLazRaJCXl0ebrXUssqm0wWCgQF4S4Xk+aiw4x3FRY8FX894VRRH9/f1wOp0wGAxUmkDmJU3+8nq9MBqN63aKUjgcjiqX4nkeKpVKDt6s9/ddQRDQ09ODYDAIo9FITerJvARBgM1mk7PyllqGzRjDiy++iEcffRT/8R//gZaWliV/TZ7nqdybkNRAgRqSWG+++SbuvfdetLa2YteuXdi+ffuSTtUvXLiA8+fPo6SkBJs2bYo6RWCMwePxyOVSfr+f0rbXKSk7orS0FLW1tfRzT3KiKMr3rtPphN/vR25ublSj03j8DN1uN6xWK2XRkEV5PB5YLBbqWTSPS927SqVy3WQxStdJZWUlTYgjC/J6vTCbzaiuro6psbTf78c999wDl8uFp556CoWFhXFeKSEkQShQQxKvr68PHR0dOHnyJM6ePQuVSoWdO3di165d2LFjBwoKCuQ3sOnpadx1110QRRFPPvnkknpHRKZtOxwOeDweZGVlydNpkrlXBrk8giCgt7cXHo+HsiNSGGMMgUAgaix4RkZGVJ+b5ZRcSFk0DocDRqORrhMyL8YYBgcHMTU1RY1gl0i6d6WsG7fbjbS0tKhyqbWWZcIYw/DwMC5cuACj0YiCgoJEL4kkIWni5MjICEwmU0zXic1mwxe/+EXccMMNuOWWW+jwiZC1jQI1JLkwxjA5OYmOjg65kz0AtLS0IDMzEy+99BJuueUW3Hzzzct6gwoGg/Lmz+VyIS0tTX54pHr71Cb1jqiqqqLTzDUoHA5H3buiKEZt/pZaiiJl0ZSVlaG2tpauEzIvv98Pi8Ui97aijdHlk/rLSfcux3EoKCiQ7938/PyUvQ/D4TDMZjPy8vLQ2NhI1wmZF8/zsFqtSEtLg16vX/IhIWMMR44cweOPP46nnnoK27dvj/NKCSFJgAI1JLkxxmA2m9He3o5QKASVSgW3241t27ahtbUVu3fvXpEUdI7j5M2f0+m87M0fSZzI0ewGg4F+ZutE5IQaqUdV5OYvMiMPeL9n0ezsLGXRkAUxxjA6OoqRkREYDAao1epEL2nNEUURXq9Xft/1+XzIzs5Oiclwkaanp9HT04PGxkYUFxcnejkkSXk8HpjN5pgbkPt8Pnzta19DMBjEL37xC/pdRMj6QYEakrx4nsdPfvIT/Od//id++MMf4qqrrgJwMRums7MTJ06cwIkTJzA2NgaTyYS2tja0tbVBr9cv+zRLEAT55M/hcCAcDkOpVMrlUuu9UWKymZycRF9fHzZt2oTy8nL62axjjLGozZ/X60V2djY0Gg2ysrIwMjKCsrIy1NTU0Kk3mVcoFILFYkFOTg60Wm1KBAvWishs18jJcNLBSTIF4KUSW7/fD5PJtOZKucjKYIxhZGQE4+PjMZdOWiwW3HzzzfjCF76AL33pS/SeRcj6QoEakpzefvtt3H777fjYxz6Gffv2LfpwxvM83n33XbnPjd1uR319vdygeMuWLcsuZZqvUWJeXp4cuFEqlRQcSIBQKAS73Q6FQgGdTkcPymRefr8fPT09cDqdyMzMRGZm5prulUEunxT0peyI5MDzvJwx53Q6L5kxt1qkRrDUWJoshuM4WK1WZGZmxhT0ZYzh+eefx5NPPomnn34aW7dujfNKCSFJiAI1JPm89tpr+M53voMnnngCer0+5s8XRRHd3d3o6OjAiRMn8O6776K0tFTOuGlubl5SE+LFMMbg8/nkh0ePxyOf2kvTaegUNn4YYxgfH8f58+exefNmlJSUJHpJJEl5PB5YrVaUlJTIk78ie2U4nU55tLC0+cvNzaWN1zrD8zzsdjsEQYDBYKA+ZUlKypiT7l+v14vMzMyocql4jh6WsiPGxsZgNBqhVCrj9rVIanO5XLBarXKm71J5vV589atfBWMMP//5z+kaI2T9okANST48zyMtLW3FUjylXgPHjx/HiRMn8NZbbyErKwutra1oa2vDzp07UVhYuOyNWTAYhMPhkBslpqeno7CwEBqNZtnTacj7AoEArFYrcnJy0NjYSP+uZF6iKGJwcBDT09OXnMAiZcxJ928gEEBeXl7UaGFKOV+7pAbktbW1VDqZgkKhUFS5lCiKUYHXnJycFfmZhsNhuSSusbGRDmPIvCKnfzU1NcV0MGg2m3HzzTfL5U70vkPIukaBGrL+MMYwOzuLkydPoqOjA2fOnEE4HEZzczN27dqFXbt2oaysbNkPdpHTaZxOJxhjUKvVctZNdnb2Cn1H64N0kjk6OgqtVosNGzYkekkkSXm9XlgsFhQXF2PTpk0xP+wyxuD3+6My5lbz1J6sDkEQ0NfXB6/XC6PRmFT9T8jli2ww7nQ6EQwGlx14nZmZQXd3N2VwkkVxHAez2Yzc3NyYpn+JoohDhw7h6aefxi9/+UtceeWVcV4pISQFUKCGEODixu7111+X+9zMzMzgyiuvRFtbG3bt2oX6+voVaVAcGbjhOC6qQTGVWyzM5/PBarVCpVKhoaGBTjLJvERRxPnz5zE1NQWDwbCiKeORp/Yul4sCrynO4/HAYrFQl+wCfQAAIABJREFUj5F1YL7Aa0ZGRlSfqoUyM0VRRG9vL7xeL0wmE93nZEFOpxM2mw319fUoLS1d8ud5PB7s3bsXWVlZeOKJJxbN/rxcR48exd69eyEIAtrb27Fv3745r3nxxRdx8OBBKBQKbNmyBYcPH17xdRBCYkKBGkLmEw6HcfbsWRw/fhwnT57EwMAAdDqd3KC4qalp2cGC+cot8vPz5XKpRDVJTCbSxntychJ6vZ7GUpIFLTeLJlbSZDiHwwGXy4VQKASlUilv/PLz89f9/ZuMGGMYHBzE1NTUJUviyNoVDoflPjculyuqT5VarUZeXh78fj/MZrM8JY7uZzIfxph8QNDU1ITc3Nwlf+65c+dwyy234LbbbsPnP//5uFxjgiBAq9Xi1VdfRXV1NVpaWnDkyBEYjUb5NT09PfiHf/gH/PGPf4RGo8Hk5GRMwSZCSFxQoIaQpRAEARaLRe5zY7FYUFVVJTco3r59+7JP2qQGxVLgxuv1IicnRw7cqFSqdVWv7Ha7YbPZVm3jTVJTPLNoYl1H5Fhwn8+HnJycqAbjdA0nlt/vh8VigUajQV1dHf08iCxysqPD4YDb7YYgCKioqEB5eTmUSiVlcpI5wuEwzGYzCgoK0NDQEFOp0zPPPINDhw7h2WefRVNTU9zWeObMGRw8eBCvvPIKAOChhx4CAOzfv19+zde//nVotVq0t7fHbR2EkJhRoIaQy8EYw8DAgDxZ6uzZs1CpVNi5cyd27dqFHTt2LDsjhjEW1aDY7XYjIyMjqkHxWuyTIQgC+vv74XQ6YTAY6MSbLMjr9cJqtWLDhg1Jt/GW7t/IjZ/UYPxS5RZkZTHGMDY2huHhYRgMBsrMIwviOA4WiwUZGRmora2F2+2Gy+WC2+1GWlpaVLlUVlZWopdLEsjhcMBms8Xct8jlcuGOO+5AQUEBHnvsMeTn58dxlcBvfvMbHD16FE899RQA4LnnnkNnZycee+wx+TWf/vSnodVqcerUKQiCgIMHD+LjH/94XNdFCLmkBTeRa2/3R8gKUigUqK+vR319PW644QYwxjA5OYmOjg689tpreOCBBwAAO3bskLNuiouLYwrcKBQK5ObmIjc3F5WVlQDeb1A8PT2Nvr4+AIjqk5HqD44OhwN2ux2VlZVobm6mVHMyLynVfHJyMqFZNIuJvH8rKioAXNwEShk3g4ODEAQhauO3UtNpyPtCoRCsViuys7PR0tJCWRFkQbOzs7Db7WhoaJDLPgoKCuT3X47j5HKp4eFhcByHgoICKndcZ6SDutnZWWzdujWmJuR/+ctfcOutt+IrX/kKPve5z63K9TLfwfsHvy7P8+jp6cGf//xnjIyM4CMf+Qi6urpQWFgY9/URQmJHgRpCYqBQKFBWVoY9e/Zgz549YIzB7Xbj9OnT6OjowBNPPAGv14tt27ahtbUVu3fvvqwGlllZWSgtLZUfInmel/tkDA0NRdXZazSalNn4SQ8JgUAAW7ZsianGm6wvPp9PLl9pbm5OqiyaS8nMzERJSYl8+ioIgtynymazIRgMUp+qFTQ5OYm+vj40NjaiuLg40cshSUoURfT398Plci268c7MzERxcbF8LUWWO/b398vljlLwVa1WU2BwjQmFQjCbzVCpVNi2bVtMpU5PPfUUDh8+jMOHD8NgMMR5pe+rrq7G8PCw/P8jIyNy8DHyNTt37kRmZibq6uqg0+nQ09ODlpaWVVsnIWTpqPSJkBUWDAbR2dmJEydO4OTJkxgdHYXJZJIzbvR6/bI3naIowu12y+VSwWBQPvHTaDRJeeI3NTWF3t5e1NbWoqKiIunWR5KDlEUzMTEBg8EAlUqV6CWtOKlPVeR0muzs7Kix4LTxuzSe52G32yEIAvR6fcpnGpL4kRoGS73Qlvv+I5U7SuXKAKICNzQCPnVJI9q1Wi2KioqW/HlOpxO33347NmzYgEcffRR5eXlxXOVcPM9Dq9Xi2LFjqKqqQktLCw4fPgyTySS/5ujRozhy5Ah+9atfYXp6Glu3bsVf/vKXmL5PQsiKox41hCQKz/N499135ZHgdrsddXV18kjwLVu2LLuHBWNMPvFzOBxRDU41Gg2USmXCMhLC4TDsdjtEUYRer6exp2RB0nj2wsJC1NfXp1QWzXJFbvxcLhcUCsWaKndcaVL5ZG1tLcrLyynwS+bFGMP4+DiGhobi2reI53m43W75Hg6FQlHlUpQ1l/wiM66amppielZ5++23cfvtt+Puu+/GP//zPyfsZ/3yyy/jzjvvhCAIuPHGG3HgwAHcd999aG5uxrXXXgvGGO666y4cPXoU6enpOHDgAK6//vqErJUQIqNADSHJQhRFdHd3yw2Kz507h+LiYuzatQttbW1obm5e9kkMYwyBQEAO3Hg8HmRmZkY1OI33iT1jDBcuXMDg4GBULwBCPogxhqGhIVy4cIHGs/9/UrmjtPHjOC5qLHheXt663PiJooje3l54PB6YTCbKXCAL4jgONpsNaWlp0Ol0q9qUP/LwxOVywev1Rr0Hr9UhAakqGAyiq6tLbli/1N+toijiySefxIsvvohDhw5Bp9PFeaWEkDWIAjUkMY4ePYq9e/dCEAS0t7dj3759UR8PhUL413/9V7z99tsoKirCr3/9a2zatCkxi00QxhhGR0flkeBvvfUWsrKysHPnTrS1taG1tRWFhYXL3pSFQiE5cCOd2EcGblbyxD4YDMJqtSIrKwtarZam3pAFSaOU1Wp1TGNP15vIscJOpxN+vx95eXny/ZvIrLnV4vF4YLFYUFFRcVm9v8j64XQ6YbPZsGnTJpSXlyd6OQDefw+WgjeMMbnXHDUZT5zp6Wn09PRAp9Nhw4YNS/48h8OBW2+9FeXl5fjRj35EPfcIIZeLAjVk9QmCAK1Wi1dffRXV1dVoaWnBkSNHYDQa5dc88cQTOHfuHH7+85/jhRdewO9+9zv8+te/TuCqE48xhtnZWZw8eRIdHR04c+YMwuEwmpub5XKplUj1j5xs4XA4IAgCVCqVXC51OSfVUtBpZGQEjY2NVPdMFsQYw/DwMMbHxymL5jLMlzWXkZERFXxdKyf2jDEMDg5iamoKRqMRBQUFiV4SSVKiKGJgYAAOhwMmkympN8+CIESVS0lNxqVeN+sh+JpIoiiir68PXq8XJpMppsOqN998E3fccQf279+Pf/zHf6QAGyFkOShQQ1bfmTNncPDgQbzyyisAgIceeggAsH//fvk111xzDQ4ePIjW1lbwPI/y8nJMTU3Rm94HeL1edHZ24vjx4zh58iRmZmZw5ZVXyg2KVyITIfKh0eFwIBQKRZVaXKpBsc/ng81mQ0FBATZv3kzNUMmCIrNo6uvr6VpZIeFwOOrEXhTFOWPBU00gEIDZbF6XfYtIbAKBALq6ulBUVIRNmzal3LXCGIPf749qMi4FX6X7mLJTV4Z0rZSUlKC2tjamUqfHH38cv//973Ho0CE0NjbGeaWEkHVgwV9Aa+O4jSSl0dFRbNy4Uf7/6upqdHZ2LviajIwMqNVqzMzM0IjVDygoKMDVV1+Nq6++GsDFDdnZs2fR0dGBb3zjGxgYGIBOp0Nrayt27dqFpqammDe/6enpcjZNXV0dGGNyqUVfXx/8fj9yc3Pl5qbSaZ8oihgaGsLExAR0Oh0KCwvj8U9A1gApi2ZsbAx6vZ6ulRWWlZWF0tJSuR+UIAhy1tzY2FhUg9NknQ4nYYxhbGwMw8PDdK2QSxofH8f58+dT+lpRKBTIz89Hfn4+qqqqAFx8r5fu4cHBQTnzVQrerNdeVcsxOTmJvr4+GAyGmK6VmZkZfPnLX8amTZvwpz/9KSUD34SQ1EKBGhI382VrffCBYimvIXNJPWx27tyJr3/96xAEARaLBR0dHfjxj38Mi8WCqqoqOeNm+/btMU9bUigUUKlUUKlUqKmpiTrtGxkZgcfjQVpaGoLBIDZs2IBt27bRaR9ZUCAQgMVigVKpREtLC2XRrIL09HRs2LBB7rsQ2eB0YGAAXq8XOTk5csaNSqVKip9LOByGxWJBdnY2XStkUTzPw2azgTGG7du3r7n3oKysLJSUlKCkpATAxYwOKfO1t7dXPkCJvIdTLZNotYiiiJ6eHgQCATQ3N8d0rbz++uu48847ce+99+K6666j51RCyKqgQA2Jm+rqagwPD8v/PzIygsrKynlfU11dLU85iaWZG7koPT0dV1xxBa644grceuutYIxhYGAAHR0deOGFF3D33XdDqVTKGTc7duyIeVxo5GlfRUUF+vv7MTMzg40bNyIUCuHs2bNIS0uL6pGx1h6aSewYYxgZGcHo6GhKn3avBQqFAkqlEkqlUs5klPrcXLhwAd3d3VH3sFqtXvWx4NJpd2NjI2VWkkW5XC5YrVbU1taioqIi0ctZFZH3JxDdq2psbAx2ux1paWlRJY+rfQ8nI7/fj66uLpSVlUGr1cZU6vSTn/wE//d//4ff/e53aGhoiPNKCSHkfdSjhsQNz/PQarU4duwYqqqq0NLSgsOHD8NkMsmvefzxx/Hee+/JzYT/+7//Gy+++GICV702McYwOTkpjwR//fXXAQA7duyQs26Ki4uX9PAyOzuL7u5uVFRUoKamJupzOI6T6+udTidEUZQbFKdqjwxy+aQsGupblDoim4w7nU7wPB81mSY3Nzcup8k8z8Nut4PneRgMBtpckgVJzaWnp6dhMpmQl5eX6CUllch72OVygeM4KJVKOXiTzCWP8TAxMYGBgQEYDIaYmtZPT0/j5ptvRmNjIx5++OGYs5IJIWSJqJkwSYyXX34Zd955JwRBwI033ogDBw7gvvvuQ3NzM6699loEg0F87nOfwzvvvIMNGzbghRdeQH19faKXveYxxuB2u3H69Gl0dHTg1KlT8Hg82LZtG1pbW7F79+4542+dTifuuusuqNVqPPDAA0t6OI7skeF0OuUGxVLghurr16bI6V86nQ4ajSbRSyKXKbLUwul0IhAIID8/Xw7cFBQULLvUwuFwwG63o7a2dkUm2pG1KxgMwmw2y43Iqczn0kRRlEsenU4nfD6fXPKoVquhVqvXZBBdEAR0d3cjHA7DaDTGlOF7+vRpfPWrX8W3vvUtfPrTn6bfSYSQeKJADSFkccFgEJ2dnThx4gROnjyJ0dFRGI1G7Nq1CzzP44knnsCNN96IO+6447IfjqUHRofDAafTCb/fj7y8vKgGxfRAlNoCgQCsVivy8/Mpi2YNknpVORwOuFwueDweZGZmRpVLLXUsuDQe1+12w2QyUcYdWdTExAT6+/uh1+sp+LtMwWBQDty43W4AkDNu1Gp1yt+LPp8PZrMZFRUVqK6uXvJzhSAI+NGPfoRXX30Vzz33HDZt2hTfhRJCCAVqCCGx4nkeHR0d2LdvH6anp6HRaFBZWYm2tjbs2rULW7ZsWXYPmshNnzSONDs7W55KkyzNTcmlURbN+hUKhaLGggOI6pExX8mAx+OBxWJBeXn5nBJKQiIJggCbzQZBEGAwGKj3WRxIPQKlDNhwODwncy5V7lFpApjJZIJSqVzy501OTuJLX/oSmpqa8NBDD1H5JSFktVCghhASm9/+9re4//778Y1vfAPXXXcdGGPo6enB8ePHceLECZw7dw7FxcVyj5uWlpYV6RUQDAblwI3L5UJ6erocuFGr1fSQnoSCwSAsFgvy8vLQ2NhIwbV1Ttr0ScEbjuPkseCFhYWYmprC1NQUjEYjCgoKEr1cksTcbjcsFgs2btyIysrKlAkWpLrICXEulwter/eyM+dWixTQE0URBoMhpvWdOHECd999Nx544AF86lOfouuMELKaKFBDCFma8fFx3HrrrVAqlXjkkUdQVFQ07+ukDAopcPPWW2/JY8Pb2trQ2tqKwsLCZT/whMPhqAbFjDGo1Wq5XIoa/CUOYwxjY2MYHh6GVquliW1kXlLJ49TUlDwJMPIeppHC5IMYYzh//jwmJydhMpmQn5+f6CWtex/MnJPei6XsuZycnIQFOLxeL8xmM6qrq2MK6AmCgO9///s4fvw4nnvuOdTU1MR5pYQQMgcFagghl9bR0YE77rgD3/3ud/Hxj388ps9ljGF2dhanTp3C8ePHcebMGYTDYTQ3N8vlUivRKFRqUCxl3UgTLaRNX7ym0pBowWAQVqsVubm52Lx5c9KdrpLkERnQ0+v1UKvVUZlzbrcbGRkZUeVSlDm3fkkZekqlEg0NDRTES1KCIEQ1Gg8Gg3K5lFqthlKpjPvPTvrdMjIyApPJFFOG3sTEBG666SZs27YNDz74IP3OIYQkCgVqCCGX5nQ6kZ6eHlNd92K8Xi86OzvlseAzMzO48sor5XKplXgIF0URHo9H3vRFTqXRaDQpVVufCiiLhsQiHA7DYrEgKysLWq12wYBeOByOKpcSRXHOWHCy9k1OTqKvrw86nY5+t6QYqeecdA97PB5kZGTIgZuVDsDyPA+bzQaFQgG9Xh9Tye3x48dxzz334KGHHsInPvEJekYghCQSBWoIIYkXDodx9uxZOXAzMDAAnU6H1tZW7Nq1C01NTcvub8IYg8/nkwM3Xq9XHkUqNSimE9rLI2XR5OTkoLGxkbJoyKKkTffmzZtRUlIS0+cudFovZc5RAHZtkUYph0IhGI1GauS6Rkily1IQVhCEOQHYy7mPPR4PzGYzampqUFlZueTP43ke3/ve93Dy5Ek8//zz2LhxY8xfmxBCVhgFagghyUcQBFgsFjlwYzabUVVVJWfcbN++fUV60AQCATidTjgcDrnMIrJBMQUcFscYw/j4OIaGhtDY2Lhg3yJCgIubIbvdDp7nYTAYVmTTLQVgI0/rpQlx0ok9NbFOTdIEsKqqKlRVVVEAbg0TRVEOwLpcLvj9fuTm5sr38aUOUqTeeKOjo2hqaoqpd9GFCxfQ3t6OHTt24P7776dSJ0JIsqBADSEk+THGMDAwgI6ODpw8eRJvv/02lEqlnHGzY8eOFTlJl075HA7HnHHCGo2GTnMjSFk02dnZi5auEAIADocDdrsdNTU1qKioiOumOxgMRjU3VSgU8oavsLCQ7uMkxxjD8PAwLly4QBPA1inGmHyQIgVg09LSosqlpPuY4zhYrVZkZGRAp9PFFJj94x//iH//93/Hww8/jGuuuYaCgYSQZEKBGkJI6mGMYXJyUs646ezsBGMMO3bskLNuiouLl/3QJY0TlsqleJ6X07M1Gk1Cp1kkCmMMFy5cwODgILRaLWXRkEWJooi+vj643W4YjcaE9JSZ7z5WKpVy4CYvL2/d3cfJKhQKwWKxIC8vD42NjVSOSmQcx8mlUi6XCxzHITs7Gx6PBzU1NaitrV3yfczzPL7zne/gjTfewHPPPYeqqqo4r54QQmJGgRpCSOpjjMHtduP06dPo6OjAqVOn4PF4sHXrVrS1tWH37t3YuHHjsjdjkenZDocjqj+GRqNBfn7+mt7whUIhWK1WZGVlobGxkVLEyaI8Hg+sVivKyspQU1OTNPeG1GhcOq33+/3Iy8uTAzerMZWGzDU1NYXe3l4KAJNLYoxhaGgIY2NjKCkpgd/vh8/nk/vOqdVqqFSqeTM9x8bGcNNNN2H37t345je/SdmghJBkRYEaQsjaFAwG0dnZiRMnTuDkyZMYHR2F0WiUR4Lr9fplb8YYY/B6vXLgRnpQlBqbrpUGxZFZNI2NjSguLk70kkgSY4zh/PnzmJycTInSlcWm0lC/qvgTBAE9PT0IBAIwmUxUmkYWxXEcLBaLXHYb+R4rlUu5XC48/PDD6OrqwpYtW9DW1oarrroKvb29uPfee/HDH/4Qf/u3f5vA74IQQi6JAjWEkPWB53mcO3cOx48fx8mTJ2G321FXVyeXSn3oQx9adoZIZF29w+GAx+NBZmZmVH+MVGtsGgqFYLPZkJGRAa1WS1k0ZFGBQAAWiwVqtRr19fUpG6iU+lVJ/zHG5N4YhYWFyMnJSfQS1wSv1wuz2YzKykpUV1cnTdYVSU5OpxM2mw319fUoLS295OsdDof8nt/R0YGRkRFcffXVuPrqq1dsoiQhhMQJBWoIIeuTKIro6elBR0cHOjo6cO7cORQXF8uBm5aWFuTl5S3764RCoajGpgBSorEpYwwTExMYGBi4rDHKZH2JnACm1+tRWFiY6CWtKEEQ5P4YTqcToVAoqs/NWi97XGmMMYyMjGBsbAwmkynps65IYklZelNTU2hqaoqp19XIyAja29tx9dVXY//+/bBarTh9+jROnTqFrq4ulJaWYteuXWhra8POnTuhVCrj+J0QQsiSUaCGEEKA98d7SoGbt956C1lZWdi5cyfa2trQ2tqKwsLCFWlQLG32HA4HBEGASqWSy6US0Wz1g8LhsDxFg7JoyKVI10tmZua6mQC2UNlj5DhhOqmfXzgchsViQU5ODhobG+nfiSwqHA7DbDYjPz8fmzdvXnKWHmMMr7zyCg4ePIgf//jH+Ju/+Zt5Xzc2NiYHbjo7O/HZz34Wt9xyy0p+C4QQcjkoUEMIIfNhjGF2dhanTp1CR0cHTp8+jXA4jObmZrnPTXl5+Yo0KJZO6h0OB0KhEAoKCuTAzWqf1E9MTKC/v5+yaMiSSA1g1/v1whiLGgvudrvlccLSfxTwBGZmZtDd3b3urxeyNA6HAzabLebrJRwO4/7774fZbMahQ4dQVlYWx1USQkhcUKCGEHLR0aNHsXfvXgiCgPb2duzbty/q44888gieeuopZGRkoKSkBM888wxqa2sTtNrE8Hq96OzsREdHB06ePImpqSm5UWFbWxsaGhpWrEGxNErY5/MhNzdXDtzEayJNOByGzWZDWloadDodbSrJonieR3d3NziOg8FgSNoSvkTiOC6q7JHneahUKrlJcU5OzroplxJFEb29vfB6vTCZTMjOzk70kkgSY4xhYGAAs7OzaGpqiqkn1PDwMNrb23HNNddg//79lLFFCElVFKghhFzsv6DVavHqq6+iuroaLS0tOHLkCIxGo/yaP/3pT9ixYwfy8vLws5/9DH/+85/x61//OoGrTrxwOIyzZ8/KgZv+/n7odDq0trZi165dMJlMyy4DkRoUS4GbyAbF0kSa5T6IUhYNiYXU0LOmpgYVFRXrJtiwXKIowu12y8GbQCCA/Px8OeOmoKAgZZsvL8bn88FsNifdmHaSnEKhEMxmM1QqVUwNyRljePnll/Htb38bP/nJT3DVVVfFd6GEEBJfFKghhABnzpzBwYMH8corrwAAHnroIQDA/v375339O++8g9tuuw2nTp1atTWmAkEQYLFY0NHRgRMnTsjTTKRGhdu3b1+Rk+RQKCQHblwuF9LS0qBWq+Wsm6Vmw0hZNAqFAnq9nrJoyKJEUURfXx/cbjeMRmNS9FNKZYwx+Hw+OXDj9XpXPAibSFLfr5GREZhMJmrSSi5JKo3TarUoKipa8ueFw2Hcd9996O3txbPPPrukiVCEEJLkKFBDCAF+85vf4OjRo3jqqacAAM899xw6Ozvx2GOPzfv62267DeXl5fjGN76xmstMOVL6tpRx8/bbb0OpVGLnzp3YvXs3duzYgYKCgmWfMEeWWDidToiiGNWgeL608cnJSfT19aGhoYEeaskleb1eWCwWyoqIs/mmxEWOBU+VkqHIBtM6nS6lA04k/hhj6O/vh9PpRFNTU0zX+fnz59He3o5PfepTuPvuu+laI4SsFQs+aK39kQ2EENl8gdmFNmLPP/883nrrLRw/fjzey0p5CoUC9fX1qK+vxw033ADGGCYnJ9HR0YHXXnsNDz74IBhj+PCHPyz3uSkpKYl5E5yZmYmSkhK5bEkQBLjdbjgcDoyNjUWNEi4oKMDQ0BAUCgW2b99OvUXIoqSxuJOTkzAajTRGOc6ys7NRVlYmNz/leV5uNj4yMgKO46LGgufl5SVd0Gx2dhZ2u52CwGRJgsEgzGYzCgsLsW3btiVfz4wx/OEPf8B3vvMdPP744/jIRz4S55USQkhyoEANIetIdXU1hoeH5f8fGRlBZWXlnNdJwYXjx4+nzMluMlEoFCgrK8OePXuwZ88eMMbgdrtx5swZHD9+HD//+c/h8XiwdetWtLa2Yvfu3ZeVvZCeng6NRgONRgPgYsmK1+vF8PAwuru7kZmZCZVKhQsXLsgNipNts0cSLxAIwGKxQKVSobm5eU32T0l2GRkZKCoqkstApHvZ6XSit7cXfr8fubm5UWPBE/VziiyN27p1a0wNYMn6ND09jZ6eHuh0OmzYsGHJnxcKhXDgwAEMDQ3hj3/8I4qLi+O4SkIISS5U+kTIOsLzPLRaLY4dO4aqqiq0tLTg8OHDMJlM8mveeecdXHfddTh69CgaGxsTuNq1LRgM4o033pDLpUZHR2E0GuWR4Hq9PuaNGMdxsNvtEEVR7kXj9/vlPjderxdZWVlybwyVSkXp4+sYYwzj4+MYGhqCXq9HYWFhopdEFiA1G48cC56RkSEHbtRq9ar0nvL7/TCbzSgpKUFtbS0FfsmipKCex+NBU1NTTJmdAwMDaG9vx2c+8xncddddFEAmhKxV1KOGEHLRyy+/jDvvvBOCIODGG2/EgQMHcN9996G5uRnXXnstPvrRj+K9995DRUUFAKCmpgb/8z//k+BVr308z+PcuXNyg2K73Y66ujq5VOpDH/rQohux//qv/8KGDRvQ1NQkl1PMJxgMyoEbt9uNtLQ0ebMXS4Niktoie4totdplTy0jqy8cDkf1uZF6VkWOBV8pkUE9g8EAtVq9Yn83WZsCgQC6urpQXFyMTZs2xVTq9Pvf/x4PP/wwfvazn6GtrS3OKyWEkISiQA0hhKQSURTR09ODjo4OdHR04Ny5cygqKpInS7W0tCAvLw9TU1O49dZb4ff78fTTTy8apJmP1KDY4XDIm73IyVJU+rb2TE1Nobe3l8a0rzFSzyopeBMMBlFQUBA1FvxyMmA4joPVakV6ejp0Oh0F9cglSU2+Ew+sAAAgAElEQVTsDQZDTJl6wWAQ+/fvx8TEBJ555pmYyqQIISRFUaCGEEJSmTQCV8q4efPNN+H3++Hz+XDdddfhq1/9KgoLC5ddiiAIAlwul5x1E9nUVKPRIDc3l8odUhTP8+ju7gbHcTAYDNRgeo2TxoJHlj5mZ2fLI8GXMhbc4XDI2X2xBoHJ+iMdMAQCARiNxph+x/T29uKmm27C9ddfj71798al1Ono0aPYu3cvBEFAe3s79u3bN+/rfvOb32DPnj1488030dzcvOLrIISQCBSoIYSQtcLpdOIrX/kKpqencd111+G9997D6dOnEQqF0NLSIjcoLi8vX3ZQRRRFeDweebMXCASQn58vB25WYuw4iT+n0wmbzYaamhpUVFTQz2ydCgaDUeVSCoUiqvRR2liLooiBgQE4HA6YTCbk5uYmeOUk2Un9i0pLS2Nqjs8Yw29/+1s88sgjePLJJ7Fjx464rE8QBGi1Wrz66quorq5GS0sLjhw5AqPRGPU6j8eDT37ykwiHw3jssccoUEMIiTcaz00IIWvB0aNHsW/fPtxzzz24/vrrox6GvV4vOjs70dHRgUOHDmFqagpXXnmlXC7V0NAQ8yllWlqafPoOvH9K73Q6MTg4GHVKLzUopqaPySNyQs+WLVtow73O5eTkoLy8HOXl5QAuljVJY8GHhobA8zzy8vLgdrtRUlKCbdu20f1MLun/tXf/cVHXeR7AXyAgMDPMgKLySxQRgSGTcAIG8narq7YfPvbusV21u12eWllWam2W5+W623bZrrWPLiu3dC31tN3r7h7WbdGVW8yACqamMgOCIiEggjq/mRlmvt/v/dHO92TTZHQGBng9H48ej2X5jvMZYajvi8/n9T5z5gxOnjwZdH+R2+3GM888g/Pnz+Pzzz+XJxiGQ319PXJzc5GTkwMAuPfee7Fr165vBTXPPfccVq5cifXr14dtLUREg8GghohoBLDZbHjqqadw7tw5VFVVyTdaF1Iqlbjppptw0003AfjmJuzAgQMwGAx47rnn0Nrairy8PHmylFarDbpvIioqCkqlEkqlEpmZmQAgT6Pp6upCU1PTgGk0Go2GnRbDxOl0wmw2Y9KkSbjuuuu4i4a+JTY2FhMnTpTHHnd2dqKtrQ0TJ06Ex+NBXV0dEhMT5feySqVicEMyQRDQ3NyM/v5+lJSUBFVG39zcjIceegg//elP8dhjj4X9+6qzsxNZWVnyx5mZmairqxtwzaFDh3Dq1CnceeedDGqIaNjxv56JiEaAV199Fd///vfx4x//eNA33LGxsSgrK0NZWRlWrlwJURRhMplgMBjwb//2b2hoaEB6eroc3JSUlFxReXBCQgISEhLkSWGBaTTnzp1Da2srAECtVsvHpdiNEl6SJKG9vR1nzpxBQUEBVCrVcC+JIpzf70dTUxMAoLS0VA5XJUlCX18frFYrOjo64HA4EBsbO2AsOIPYscnlcsFkMiEtLQ2ZmZlBHXX6wx/+gNdeew1vv/32kB0tuljVw4VrFkURK1aswDvvvDMk6yEiuhx21BARjVGSJOHkyZMwGAyoqanBwYMHoVQqUVZWhoqKCpSWlkKlUl31Tgy/3y8frwgUFP/1GGHu9ggNt9sNs9mMpKSkKzrqRmNPoL8oOztbDlu/i9frlQvHbTYbACApKUkuKQ7lWHCKTKdPn8bXX3+NwsJCJCUlDfpxfX19ePrpp+FyufDWW28FNRHqau3duxdr167FJ598AgB48cUXAQCrVq0C8M2u1RkzZkCpVAIAuru7kZKSgg8++IA9NUQUTiwTJiKi7yZJEnp6euTJUnV1dZAkCddffz30ej30ej1SU1NDUlAcGCNssVjg8XigUCjkkeAsKA6eJEk4ffo02tvbMWvWrLB2PdDoEAhqz507h6KioivuLwpMigsEsV6vV54Up9FooFAo+H4eJQRBQFNTE0RRREFBQVC7qRobG/Hwww9j4cKFWLJkyZCHyH6/H3l5edi9ezcyMjKg0+mwY8cOaLXai17/ve99D+vXr2dIQ0ThxqCGiIiCI0kS7HY79u7di+rqatTW1sLhcKC4uBjl5eWoqKhAdnb2Vd+ESZIEp9MpBzculwvx8fFycMOC4u/W39+PxsZGxMbGIi8vj0dR6LLcbjdMJhOSk5Mxffr0kL6/Au/nwKS4wPs5sIOO7+eRyel0wmQyISMjAxkZGUEddfr3f/93bNy4EZs3b0ZxcXGYV3ppH330EZYvXw5BELBw4UKsXr0aa9aswdy5czF//vwB1zKoIaIhwqCGiIiunsfjQX19PYxGI4xGIzo7O1FYWCj33OTn51/1TZgkSfB4PPKNnt1uZy/GJfT29uL48ePIzc1FamrqcC+HRoDAhJ6h2nkVeD8HdtzY7XZER0cPKBwPpoSWhl5XVxdOnTqFwsLCoDqvXC4XnnzySQiCgI0bNwZ1TIqIaIxgUENERKHn9/tx5MgR+bjUsWPHMH36dPmo1Jw5c0JyE9bf3y8HN4FeDLVaLe+6GWsFxX6/X562UlhYOOZePwXP7/fj2LFjEAQBBQUFwxqO+Hw+ObixWq0QBEHuudFoNOytihCBkumoqCjk5+dj3Lhxg36s2WzGQw89hCVLlmDx4sXcRUVEdHEMaoiIKPxEUURLS4sc3Bw+fBgTJkxARUUF9Ho9dDodEhMTr/p5/H7/gBs9v98/4EbvSvs2RoJA+evUqVORlpbGG1q6LJvNhsbGxoj9nrlUb9WFY8Ejbc2jncPhgMlkwtSpU5Genj7ox0mShG3btuGtt97Cli1bcO2114ZxlUREIx6DGiIiGnqSJKGrqwvV1dUwGo3Yv38/YmNjUV5eDr1ej/Lycmg0mpAVFAd23Xg8HiiVSjm4GQ2FpqIoorW1FVarFVqtdlSHURQakiTh66+/Rk9PD4qKikISkg4FSZLgcrnkINbpdCIuLm7A8cdgdnfQ4EmShM7OTnR2dqKoqAgKhWLQj3U6nVi+fDnGjRuHN998U56gREREl8SghoiIhp8kSbBYLKipqYHBYMCePXvg9Xoxd+5c6PV6VFZWYsqUKSErKL6w0DQhIUEuNFWpVCNqK77T6YTZbMakSZNCUuBMo5/H44HJZBo1o9o9Ho88FtxutwP45vhjILwZP378MK9w5PP7/TCbzYiJicGsWbOCCsMaGhqwZMkSPProo1i0aBF/RhERDQ6DGiIiikwulwv79u2DwWBATU0Nzp49i2uuuUY+LhWKm0xJkuB2u+XgxuFwyAXFycnJEfsbekmS0N7ejjNnzqCgoCCoIk8au3p6enDixAnMmjULKSkpw72csPD7/QPGgvt8vgFjwRMTExkWBMFut8NsNmPatGmYMmXKoB8niiLeffddbNmyBVu2bME111wTxlUSEY06DGqIiGhk8Pl8OHDggBzctLa2Ii8vTx4JXlRUFJKpT16vV+7EsNlsiI6OHlBQPNyTaNxuN8xm86jZEUHhJwgCjh07Bp/Ph4KCgjFVMi2KIhwOhxzc9PX1jehddENFkiScOnUK3d3dQR+Ps9vtWLZsGeLj4/HGG28EdUyKiIgAMKghIqKRShRFmM1mVFdXo6amBiaTCWlpafJkqZKSEsTHx1/18/h8PvloRWASTeBoRXJyckieYzAkScLp06fR3t4+ZCOUaeQLlL9mZmYiIyNjzO8mCeyiu3AseExMzICem+EOY4ebz+eD2WzG+PHjkZeXF1SQdfjwYSxduhRPPPEEHnjggTH//UZEdIUY1BARRbKqqiosW7YMgiBg8eLFePbZZy963fvvv4+7774b+/fvx9y5c4d4lZFBkiS0tbXJk6UOHDgAlUqFsrIyVFRUoLS0NCRTYgRBGFBQ7PV65aMVycnJYTla0d/fj8bGRrkjIhQ7h2h0u/B4nFar5a6G79Df3y8HNzabDaIoDui5GaowNhIEJoFNnz4dkydPHvTjRFHE73//e2zbtg3vvPMOtFptGFdJRDTqMaghIopUgiAgLy8Pn376KTIzM6HT6bBz504UFhYOuM7hcOCOO+5Af38/NmzYMGaDmr8mSRJ6e3thMBhgMBhQV1cHSZJw/fXXy7tuUlNTQzJZyul0ysel+vr6kJiYKAc3SqXyqo5WnD17Fi0tLZgxYwYmTZp0VWulscHr9cJkMkGpVCI3N5dHe4IUCGMD72mv1wulUikHN0qlctTtFAlMAuvt7UVRUVFQ0+NsNhsee+wxaDQavPbaayNmihgRUQRjUENEFKn27t2LtWvX4pNPPgEAvPjiiwCAVatWDbhu+fLluPnmm7F+/XqsX7+eQc0lSJIEu92OvXv3yj03DocDxcXFcs9NKCYnSZKEvr4++SbP4XBg/PjxQY8Q9vv9aG5uRn9/PwoLC8dUrwhdud7eXhw/fhx5eXmYMGHCcC9nVAhMi7twLHh8fLz8nk5KSorI0vHB6u/vh8lkgkKhCDrYO3ToEB577DE89dRT+MlPfjLqAiwiomFyyR+m3FNNRDTMOjs7kZWVJX+cmZmJurq6AdccOnQIp06dwp133on169cP9RJHlKioKKjVatx222247bbbAHwz2re+vh5GoxFPPvkkOjo6oNVqodfrUVFRgfz8/KB3I0RFRUGhUEChUCAjI0N+HqvVijNnzqClpQXR0dHyTd7FCoqtViuampqQlZWF9PR03vzQZQmCgJaWFng8HpSUlDDYC6GoqCioVCqoVCr5Z3Kg5+bMmTNobm6WS8cD7+mR8vdvsVjQ1NSE3NxcpKamDvpxoiji7bffxnvvvYedO3ciPz8/jKskIqIABjVERMPsYjsbL7xhF0URK1aswDvvvDOEqxpd4uPjMW/ePMybNw/AN7tYjhw5AoPBgHXr1qGpqQnTpk2TR4LPmTPniopG4+PjMWXKFHm8rc/nk38739bWJndiqNVq2Gw2OJ1OXHvttUEdP6Cxy+l0wmQyIT09HbNmzWKwNwQSEhKQkJCAtLQ0AP9fOm61WtHe3g6/34+kpCQ5uElISIior0ug0+vcuXMoLi4OqofHarXiscceQ2pqKr744gv+nCIiGkI8+kRENMwud/TJZrNhxowZUCqVAIDu7m6kpKTggw8+4PGnEBFFES0tLXJB8eHDhzFhwgQ5uNHpdCHpYxAEAd3d3Thx4gSio6Mxbty4ATd54SgoppEvMEL59OnT0Gq18s8CGn6BseCB0nG3243ExEQkJyfLPTfD1R0U6DBKSkpCTk5OUOv48ssv8cQTT2DlypW47777+HOJiCg82FFDRBSp/H4/8vLysHv3bmRkZECn02HHjh2XnKbxve99jx01YSZJErq6ulBdXQ2j0Yj9+/cjNjZWnixVXl4OjUYT1M1LYDpPd3c3CgsLoVKp5Ju8QM+N2+2GQqEYUFDMG6SxLdArkpCQgJkzZ47ojpSx4MLuKqvVCofDgdjY2AHdVUMxze38+fM4duxY0B1GoijizTffxH/+539i69atyMvLC+MqiYjGPAY1RESR7KOPPsLy5cshCAIWLlyI1atXY82aNZg7dy7mz58/4FoGNUNPkiRYLBbU1NTAYDBgz5496O/vR0lJCcrLy1FZWYm0tLRLhiotLS349NNP8bd/+7eYMWPGJX+zLUkSXC7XgJu88ePHy7+dV6vVnOwzhpw7dw7Nzc1B94pQZPF6vQPGggMY0HMzfvz4kD2XJElobW2F1WpFUVFRUH/2+fPn8eijjyIzMxOvvPLKmBpXTkQ0TBjUEBERhZLL5UJdXR2qq6tRU1ODs2fP4pprrpFHgufm5gIANm7ciN/97nd46aWX5HLjYATKTC0WC+x2O8aNGycHNxqNZkh+O09DK3AUz+VyQavVhvRGnoafIAhyz43VaoXX64VKpZLf0wqF4op20nk8HphMJmg0GuTk5AT1Z9TX12PZsmVYvXo17r77bu7kIyIaGgxqiIiIwsnn8+HgwYNycNPc3AwAmDx5Mv75n/8Z5eXlIQlV+vv75Rs8q9UKSZIGTJbiTf3I5nQ6YTabMXnyZEydOpU3zGOAKIoDxoK7XC7Ex8fLgWxSUtJld9KdPXsWLS0tmDVrFlJSUoJ67tdeew0ffvghtm7dKgfMREQ0JBjUEBERDZWPP/4Yzz77LBYtWoSYmBgYjUaYTCakpaXJO25KSkpCcrRAEIQBwY3P54NKpZJv8iJtCg1dnCRJ6OzsRGdnp9xhRGOTJEnweDzf2kl3YSAbmEoniiJOnDgBh8OBoqKioMaFnzt3DkuWLEFOTg7Wr1/PkJeIaOgxqCEiIgo3p9OJn/3sZzh9+jTefvttTJo0Sf5cYExuYLLUgQMHoFKp5ILi0tJSqFSqqw5VRFGE3W6Xb/I8Hg8UCsWAKTQMbiJLf38/GhsbERcXh7y8PBYG07f4fL4BgawoikhMTITdbkdqaipyc3OD6q/au3cvVqxYgZ///Of4+7//e/5MICIaHgxqiIiIwmnfvn149NFHsXTpUixcuPCyNz6SJKG3t1cObvbt2wdRFFFaWirvuklNTb3qG6hAQXFgfLDT6Qz6WAWFT2A6z4wZMwYEe0Tf5cyZM2hpaUFKSgq8Xu+gA1lBEPDqq6+iqqoK27Ztw/Tp04dh9URE9BcMaoiIiMLFarXixz/+MTZs2ICcnJwr+jMkSYLD4cCePXtgMBhQW1sLm82G6667DuXl5aioqEB2dnZIghuPxyMHN3a7HTExMfJI8KEaHzzWBY6s2O12aLVaTtihQQkUTff19UGr1cpHnf56Ytx7772H2tpaXH/99Zg3bx7mzZsHj8eDhx9+GAUFBXjppZeCOiZFRERhwaCGiIhopPF4PKivr4fRaERNTQ06OjpQUFCAiooKVFRUID8/PyS7Yfr7++Xg5sLxwYHfzvOGLrRcLhdMJhMmTZoUkvCNxga3242GhgZMmjRpUEXTra2t+Pzzz1FbW4tDhw7h/Pnz0Ov1eOCBB1BZWckdXEREw49BDRER0Ujn9/tx5MgRGAwG1NTUoKmpCdOmTUNFRQX0ej3mzJkjl4xe7fPYbDY5vPH7/UhKShpQUEzBkyQJXV1dOHXqFAoLC5GUlDTcS6IR4syZMzh58iQKCgqgVqsH/ThBEPDKK6/gs88+w8aNG9HV1YWamhrU1NTAYrGguLgYFRUVqKysxMyZMxkaEhENLQY1REREo03gGESg5+bw4cOYMGEC9Ho9KioqoNPpkJiYGJLnsdvtcnDj8XigVCrl41IKhYI3eJfh8/nQ2NiImJgYzJo1i4XBNCiCIKClpQVerxeFhYVBBbE9PT146KGHMHv2bPzrv/7rt3bG+Xw+fPXVV6itrUVNTQ2am5tRUVGBN998M9Qvg4iILo5BDRER0WgX2LFRXV0No9GI/fv3Iy4uTi4oLi8vR3Jyckh6bpxOpxzcuFwuJCQkyMGNSqViQfEFLBYLmpqakJOTg8mTJw/3cmiECByRmzJlCrKysoJ63xoMBqxcuRIvvPAC7rzzzkE9NlBwziNRRERDhkENERHRWCNJEiwWC2pra1FdXY09e/bA6/Vi7ty5KC8vR2VlJdLS0kIS3LjdbnkkuMPhQGxs7ICC4rG4g0QURbS2tsJms7EwmIJy+vRpfP3110EfkfP7/fjNb34Dg8GA7du3IysrK4yrJCKiq8SghoiIiL75LX1dXR2qq6tRU1OD3t5ezJ49Wx4JnpubG5LdMF6vVw5ubDYboqKioNFo5PAmFF06kayvrw8mkwkTJ07EtGnTeDSMBkUQBBw7dgx+vx+FhYVBTWDr7u7Ggw8+CJ1Oh+eff37Uv8eIiEYBBjVERET0bT6fDwcPHpR7blpbW5GXlyePBC8qKgrJuG6fzzegoFgQBKjVajm4GU27TQK7IYItfqWxzel0wmQyISMjAxkZGUGFe59//jlWrVqFl156CbfddhuDQSKikYFBDREREV2eKIowm83yZKmjR48iPT1d3nFTUlISklBFEATY7XZ5143X64VKpZKDm8TExBF3s+nz+dDU1ISoqCjk5+eHJOCisaGrqwvt7e3QarVQqVSDfpzf78eLL76Iffv2Yfv27cjIyAjjKomIKMQY1BAREVHwJElCW1ubHNx8+eWXUCqV8o6b0tJSqFSqkPTcOBwOObjp6+tDYmKifFwq0guKrVYrmpqakJ2djbS0tOFeDo0Qfr8fTU1NABB0uHf69Gk8+OCD0Ov1WLt2LYNBIqKRh0ENERERXb3AZBij0QiDwYC6ujoIgiBPltLr9UhNTQ1JcNPX1zegoDguLg7JycnQaDQRU1AsSRJOnjyJc+fOoaioCAkJCcO9JBohHA4HTCYTpk6divT09EE/TpIk/PnPf8bq1auxfv163HLLLWFcJRERhRGDGiIiIgq9wE6YPXv2wGAwoLa2FjabDcXFxdDr9aioqEB2dnZIjjF5PB5YrVZYrVbYbDZER0fLO240Gs2Ql6e63W6YTCYkJydj+vTpEb3jhyKHJEno7OxEZ2cntFotlErloB/r8/nwwgsv4MCBA9i2bVtQAQ8REUUcBjVERERXo6qqCsuWLYMgCFi8eDGeffbZb13zxz/+EWvXrkVUVBSuvfZa7NixYxhWOvw8Hg/q6+thNBpRU1ODjo4OFBQUQK/Xo7KyEvn5+SEJNXw+nxzcWK1WiKIoFxRrNJqwFhR3d3fj5MmTKCgogEajCdvz0Oji9/vR2NiIcePGYdasWUHtCuvq6sLixYvxN3/zN3juued41ImIaORjUENERHSlBEFAXl4ePv30U2RmZkKn02Hnzp0oLCyUr2lpacE//MM/4M9//jOSk5PR09ODSZMmDeOqI4ff78eRI0fknpumpiZMmzZN3nEzZ86ckOyGEQQBNptNPi7V39+PpKQkObgJRUGx3+/HsWPHIIoi8vPzOQKZBs1ut8NsNgfdYyRJEj799FOsWbMGr7zyCm6++eYwrpKIiIYQgxoiIqIrtXfvXqxduxaffPIJAODFF18EAKxatUq+ZuXKlcjLy8PixYuHZY0jiSiKOH78OKqrq2E0GnH48GFMmDBB7rjR6XRQKBQheZ5AQbHVapULigM9N8GWINtsNjQ2NmLq1KlIS0sbcVOpaHhIkoRTp06hu7sbWq02qO9tn8+HX/7ylzh69Ci2bt2KKVOmhGWNl9sx+Morr2DTpk2IiYlBamoqfv/73yM7OzssayEiGkMu+R8S3DNJRER0GZ2dncjKypI/zszMRF1d3YBrmpubAQAVFRUQBAFr167FbbfdNqTrHCmio6ORl5eHvLw8PPjgg5AkCV1dXTAYDPjwww+xZs0axMbGoqysDHq9HuXl5UhOTg46GImOjoZarYZarUZ2djYkSYLL5YLVakV7ezscDgfGjx8vBzdJSUkXPYoSmHx19uxZzJ49G4mJiaH6q6BRzufzwWw2Y/z48SgpKQnqqFNHRwcWL16Mm2++GR9//HHYyrMFQcDSpUsH7BicP3/+gB2DxcXF+PLLL5GYmIg333wTK1euxB/+8IewrIeIiBjUEBERXdbFdp/+dWjg9/vR0tKCL774Ah0dHbjhhhvQ0NDA/pJBiIqKQkZGBu677z7cd999kCQJFosFtbW1MBgM+O1vfwuPxwOdTofy8nJUVlZe0Y6WqKgoKJVKKJVKZGZmAvimT8disaC7uxvHjh3DuHHj5OBGo9HA7/fDZDJBrVajpKSEhcE0aIEdWNOnT8fkyZMH/ThJklBVVYVf/OIXePXVV/H9738/jKsE6uvrkZubi5ycHADAvffei127dg0Iai5cQ1lZGbZv3x7WNRERjXUMaoiIiC4jMzMTp06dkj/u6Oj41rSVzMxMlJWVITY2FtOnT8esWbPQ0tICnU431Msd8aKiopCSkoK77roLd911FwDA5XKhrq4OBoMB27ZtQ29vL2bPni0fl8rNzb2iECU+Ph5paWlyZ0h/fz+sVivOnz+PY8eOwePxYOLEiVCpVPD5fBg/fnxIXyuNPpIkob29HT09Pbj22muDGtne39+PtWvXoqmpCZ999tmQ9FwNZsfghTZv3owf/OAHYV8XEdFYxqCGiIjoMnQ6HVpaWnDy5ElkZGTgvffe+9ZEpx/+8IfYuXMnFixYgLNnz6K5uVn+DTVdPYVCgRtvvBE33ngjgG+OlBw8eBAGgwE///nPceLECeTl5aG8vBwVFRUoKiq6oqk4cXFxmDBhAs6ePQulUomSkhL5uFRHRwd8Ph9UKpW86yYhIYFdNSTr7++HyWRCYmJi0Duw2tvbsWjRItxxxx14+eWXw3bU6a8NZsdgwPbt2/Hll1+iuro63MsiIhrTGNQQERFdRkxMDDZs2IBbb70VgiBg4cKF0Gq1WLNmDebOnYv58+fj1ltvxf/+7/+isLAQ48aNw29+8xtMmDBhuJc+asXGxqK0tBSlpaV4+umnIYoizGYzDAYDNmzYgKNHjyI9PV3ecVNSUjKocd1dXV1ob29HVlYW0tPTERUVhfj4ePlrGSgotlgsaG5uhtvthkKhkIMbpVLJ4GaMslqtaGxsRG5uLlJTUwf9OEmS8Kc//Qm/+tWvsGHDBsybNy+Mq/y2wewYBIDPPvsML7zwAqqrq7mzjIgozDj1iYiIiEadQAFwYCT4gQMHoFAoUFZWhsrKSpSWlg6Y+iQIAp5//nl8/vnn+NOf/gSlUjno53G5XLBYLLBarXA6nYiPj4dGo0FycjKSkpLYazPKBb7Xzp07h6KiokEFggFerxdr1qzByZMnsWXLlqACnlDx+/3Iy8vD7t27kZGRAZ1Ohx07dkCr1crXHDp0CD/60Y9QVVWFmTNnDvkaiYhGKY7nJiIiorFLkiT09vbCaDTCYDCgrq4OoihCp9OhsLAQ7777LrRaLV5++eWgbrQvxu12y8GN3W5HTEyMHNyo1eorOpJFkam/vx8NDQ1QqVSYMWNGUKFcW1sbFi9ejB/+8If42c9+NqyB3kcffYTly5fLOwZXr149YMfgzTffjHJvoicAABGdSURBVKNHj8pdTlOnTsUHH3wwbOslIholGNQQERERBUiSBIfDgVdeeQVvvvkmioqKcP78ecyZM0eeLJWdnR2SY0yBgmKLxQKbzQYAUKvV8nGpuLi4q34OGnqBwumZM2di4sSJg36cJEn44IMPsG7dOrz++uuorKwM4yqJiCiCMaghIiIiCnC73Xj66afR0dGBTZs2YeLEifB6vairq4PRaERNTQ06OjpQUFAAvV6PyspK5Ofnh2TXg9/vh81mk3fd+P1+JCUlybtu4uPj2XMTwSRJQmtrK6xWK7RabVA7sDweD1avXo3Ozk5s2bKFPVZERGMbgxoiIiIiADhy5AgWLVqERYsW4eGHH75kKCIIAo4cOYLq6mrU1NSgqakJ06ZNkwuK58yZE5LdMKIowm63y8GNx+OBUqmUgxuFQsHgJkJ4vV40NDRAo9EgJycnqK9La2srFi9ejLvvvhsrVqxgdxERETGoISIiItq0aRPefvttbNmyBYWFhUE9VhRFHD9+HAaDAQaDAYcPH8aECRPkkeA6nQ4KheKq1yhJEpxOp3xcyuVyISEhQQ5uVCoVb/KHwblz59Dc3IxZs2YhJSVl0I+TJAn/9V//hZdffhkbN25EWVlZGFdJREQjCIMaIiIiooMHD6KwsPCqC4OBb27Au7q6YDAYYDQaUV9fj9jYWJSVlUGv16O8vBzJyclXvRtGkiS43W45uHE4HIiNjYVGo5H/GTdu3FW/Hro4URTR2toKu90OrVYb1Ghqt9uNZ599FmfPnsXmzZuDCniIiGjUY1BDREREFE6SJMFisaC2thYGgwG1tbXweDzQ6XRyQXFaWlpIjjF5vd4BBcVRUVFyaJOcnIzY2NgQvCLyeDxoaGjAhAkTMG3atKC+ds3NzXjooYfwk5/8BI8//jh3QRER0V9jUENEREQ01FwuF+rq6mAwGFBTU4Oenh7Mnj1b7rnJzc0NWUGx1WqV//H7/VCr1QMKiik4vb29OH78OPLz85GcnDzox0mShD/+8Y949dVX8fbbb0On04VxlURENIIxqCEiIiIabj6fDwcPHpSDmxMnTmDmzJnQ6/WoqKhAUVERYmJirvp5BEGA3W6Xd914vV6oVCp51w0Lii8t0EXkcrmg1WqDKozu6+vDM888A5vNhk2bNkGj0YRxpURENMIxqCEiIiKKNKIowmw2y8HN0aNHkZ6eLhcUl5SUhKxPx+FwyMFNX18fEhMT5eCGBcXfcLvdaGhoQGpqKrKzs4MKs5qamvDwww/jgQcewKOPPsq/TyIiuhwGNURERESRTpIktLW1ycHNgQMHoFAoUFZWhsrKSpSWlkKlUoWkoLivr08+KhUoKE5OToZGo4FarR5zBcVnzpzByZMnkZ+fH9ROGEmSsHPnTrz++uvYtGkTSkpKwrhKIiIaRRjUEBEREY00kiSht7cXRqMRBoMBdXV1EEUROp1OPi6VmpoakmNMHo9HDm5sNhuio6MHTJYarQXFoiiiubkZXq8XhYWFQb1Ol8uFp59+Gm63G2+99RbUanUYV0pERKMMgxoiIiKikS5whGnPnj3yZCm73Y45c+bIk6WCPbJzKT6fb0BBsSiKckGxRqMZFQXFfX19aGhowJQpU5CVlRXU35vZbMaSJUuwaNEiPPzwwzzqREREwWJQQ0RERDQaeb1e1NfXw2g0wmg0oqOjAwUFBfKOm/z8/JAcYxIEATabTQ5uAgXFgeNSiYmJI6qguLu7G21tbSgsLERSUtKgHydJErZv347f/e532Lx5M4qLi8O4SiIiGsUY1BARERGNBYIg4MiRIzAYDDAajWhqasK0adPkkeBz5swJapLRpYiiCKfTCYvFAqvVKhcUB4KbUHTphIMgCDh27Bj8fj8KCwuDmrLldDrx5JNPQpIkbNy4ESqVKowrJSKiUY5BDREREdFYFBg3HQhuvvrqK0yYMEGeLKXT6aBQKK76eQIFxYHgxuFwYPz48XJwk5SUNOwFxS6XCw0NDcjIyEBGRkZQQZLJZMKSJUvk40486kRERFeJQQ0RERGNflVVVVi2bBkEQcDixYvx7LPPDvh8e3s7HnjgAVitVgiCgHXr1uH2228fptUOD0mS0NXVJQc3+/fvR0xMDMrKyqDX61FeXo7k5OSQFRQHghu73S4XFCcnJ0OtVg9pQXFXVxfa29uh1WqD2gkjiiK2bt2KzZs3Y8uWLZg9e3YYV0lERGMIgxoiIiIa3QRBQF5eHj799FNkZmZCp9Nh586dKCwslK956KGHUFxcjEceeQRmsxm333472trahm/REUCSJFgsFtTW1sJgMGDPnj1wu93Q6XRyQXFaWlpIgpv+/v4BBcWSJEGtVsu7bsaPHx+CVzSQIAhoamqCJEnIz88P6qiTw+HAsmXLEBcXhzfeeANKpTLk6yMiojHrkv9iHfy/qYiIiIgiWH19PXJzc5GTkwMAuPfee7Fr164BQU1UVBTsdjsAwGazIT09fVjWGkmioqKQkpKCu+66C3fddReAb44I1dXVwWAwYPv27ejp6cE111yDiooK6PV65ObmXtHRn7i4OEyaNAmTJk0C8P8FxRaLBR0dHfD5fAMKihMSEq4qIHI6nTCZTMjKygr6a3306FE88sgjePzxx7FgwYKI7NshIqLRiTtqiIiIaFR4//33UVVVhU2bNgEAtm3bhrq6OmzYsEG+5vTp07jllltgsVjgcrnw2WefoaSkZLiWPGL4fD4cPHgQBoMBNTU1OHHiBGbOnCnvuCkqKgpqp8qliKIIh8MhH5dyu91QKBTycSmlUjmowESSJHR2dqKzsxNarTaonTCiKGLLli3YunUr3nnnHWi12qt5SURERJfCHTVEREQ0ul3sl09/fVO/c+dOLFiwAE899RT27t2L+++/Hw0NDSyGvYzY2FiUlpaitLQUTz/9NERRhNlshsFgwIYNG9DQ0IC0tDS5oLikpATx8fFBP090dDTUajXUajWAb76mLpcLFosFbW1tcDqdiI+Pl4ObpKSkb33t/H4/GhsbMW7cOMydOzeoAmO73Y7HH38cKpUK1dXVSExMDPo1EBERXS3uqCEiIqJRYe/evVi7di0++eQTAMCLL74IAFi1apV8jVarRVVVFbKysgAAOTk52Ldvn3wUh66MJEn4+uuv5YLiAwcOQKFQoKysDBUVFSgrKwvZuG632w2r1QqLxQK73Y6YmBg5uImOjsaxY8eQnZ2NtLS0oP7cr776CkuXLsWKFStw//3386gTERGFG8uEiYiIaHTz+/3Iy8vD7t27kZGRAZ1Ohx07dgw4uvKDH/wA99xzDxYsWIDGxkbcdNNN6Ozs5E15iEmShN7eXtTU1KC6uhp1dXUQRRE6nQ56vR4VFRVITU0NWUGxxWLBqVOnYLfbkZCQgJSUFDm8iYuL+87Hi6KITZs2YceOHXj33XdRUFBw1WsiIiIaBAY1RERENPp99NFHWL58OQRBwMKFC7F69WqsWbMGc+fOxfz582E2m/Hggw/C6XQiKioKv/71r3HLLbcM97JHPUmS4HA4sHfvXrnnxmazobi4WD4ulZ2dfUVH0Hw+H8xmM+Li4pCXlwdJkuSCYqvVCr/fj7i4OOzduxc333wzZs6cKT+P1WrF448/jpSUFLz66qs86kREREOJQQ0RERERRQ6v14v6+noYjUYYjUZ0dHSgoKBA3nGTn59/2X6ZQ4cOwePxICcnB5MnT77oNaIoorOzE2+99Rb27duH7u5u5ObmIj8/H1VVVfiXf/kX/PSnP+WuKiIiGmoMaoiIiIgocgmCgCNHjsg7bhobGzFt2jTo9Xro9XrMmTNHPsYkiiJ+9atf4X/+53/w4YcfXjKkuRifz4d169Zh9+7dSE1NRUdHB7Kzs3HDDTfghhtuwHXXXXfZ41JEREQhwKCGiIiIiEYOURRx/PhxuaD48OHDSE5Oxpw5c7Bnzx7k5OTg9ddfD2q6lMViwdKlSzFlyhT89re/RUJCAiRJQltbm7yz5+DBg9BoNKisrMQNN9yA8vJyKBSKML5SIiIaoxjUEBEREdHIJUkSPvjgAyxbtgzFxcXo6OhATEwMSktLUVFRgfLyciQnJ1/yCNP+/fvxxBNPYNWqVbjnnnu+86hTT08PampqYDQa8Xd/93eYN29euF4WERGNXQxqiIiIiGhkEkURv/71r/Hxxx9j27ZtmDp1KiRJgsViQW1tLQwGA/bs2QO32425c+dCr9ejsrISaWlpkCQJb7zxBv77v/8bW7duxcyZM4f75RAREQEMaoiIiIhoJOrp6cGCBQswe/ZsPP/884iNjb3ktS6XC3V1dXLPTU9PDxwOB+644w6sX78+qGNSREREYcaghoiIiIhGlkOHDuGf/umfsG7dOtx2221BP97n82H37t249dZbOdWJiIgiDYMaIiIiIhpZzp8/D7fbjYyMjOFeChERUagxqCEiIiIiIiIiihCXDGqih3IVRERERERERER0aQxqiIiIiIiIiIgiBIMaIiIiIiIiIqIIwaCGiIiIiIiIiChCMKghIiIiIiIiIooQDGqIiIiIiC5QVVWFWbNmITc3F+vWrfvW571eL+655x7k5uaitLQUbW1tQ79IIiIatRjUEBERERH9hSAIWLp0KT7++GOYzWbs3LkTZrN5wDWbN29GcnIyjh8/jhUrVuCZZ54ZptUSEdFoxKCGiIiIiOgv6uvrkZubi5ycHMTFxeHee+/Frl27Blyza9cuPPDAAwCAH/3oR9i9ezckSRqO5RIR0SjEoIaIiIiI6C86OzuRlZUlf5yZmYnOzs5LXhMTEwO1Wo1z584N6TqJiGj0YlBDRERERMNi4cKFmDRpEoqKii76eUmS8MQTTyA3NxezZ8/GwYMHw76mi+2MiYqKCvoaIiKiK8WghoiIiIiGxYIFC1BVVXXJz3/88cdoaWlBS0sL3nrrLTzyyCNhX1NmZiZOnTolf9zR0YH09PRLXuP3+2Gz2ZCSkhL2tRER0djAoIaIiIiIhsW8efO+M+DYtWsX/vEf/xFRUVEoKyuD1WrF6dOnw7omnU6HlpYWnDx5Ev39/Xjvvfcwf/78AdfMnz8f7777LgDg/fffx4033sgdNUREFDIxw70AIiIiIqKLuVRfTFpaWtieMyYmBhs2bMCtt94KQRCwcOFCaLVarFmzBnPnzsX8+fOxaNEi3H///cjNzUVKSgree++9sK2HiIjGHgY1RERERBSRhqsL5vbbb8ftt98+4P/75S9/Kf/v+Ph4/Md//EfY10FERGMTjz4RERERUUQaTF8MERHRaMOghoiIiIgi0vz587F161ZIkoR9+/ZBrVaH9dgTERFRJODRJyIiIiIaFvfddx+++OILnD17FpmZmfjFL34Bn88HAFiyZAluv/12fPTRR8jNzUViYiK2bNkyzCsmIiIKv6iLnf29wHd+koiIiIiIiIiIgnbJ0jUefSIiIiIiIiIiihAMaoiIiIiIiIiIIgSDGiIiIiIiIiKiCMGghoiIiIiIiIgoQjCoISIiIiIiIiKKEAxqiIiIiIiIiIgiBIMaIiIiIiIiIqIIwaCGiIiIiIiIiChCMKghIiIiIiIiIooQDGqIiIiIiIiIiCIEgxoiIiIiIiIiogjBoIaIiIiIiIiIKEIwqCEiIiIiIiIiihAMaoiIiIiIiIiIIgSDGiIiIiIiIiKiCMGghoiIiIiIiIgoQjCoISIiIiIiIiKKEAxqiIiIiIiIiIgiBIMaIiIiIiIiIqIIwaCGiIiIiIiIiChCMKghIiIiIiIiIooQDGqIiIiIiIiIiCIEgxoiIiIiIiIiogjBoIaIiIiIiIiIKEIwqCEiIiIiIiIiihAMaoiIiIiIiIiIIgSDGiIiIiIiIiKiCMGghoiIiIiIiIgoQjCoISIiIiIiIiKKEDGX+XzUkKyCiIiIiIiIiIi4o4aIiIiIiIiIKFIwqCEiIiIiIiIiihAMaoiIiIiIiIiIIgSDGiIiIiIiIiKiCMGghoiIiIiIiIgoQjCoISIiIiIiIiKKEP8HXK0HlhiFD/wAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "interact(bar_approximator, \n", " elev = widgets.IntSlider(0, min = 0, max = 360),\n", " azim = widgets.IntSlider(0, min = 0, max = 360))" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "# x = np.linspace(0, 1, 100)\n", "# def f(x): return x**2\n", "# def g(x): return np.sqrt(x)\n", "\n", "# fig, ax = plt.subplots(nrows = 1, ncols = 3, figsize = (16, 6))\n", "# ax[0].plot(x, f(x), color = 'black')\n", "# ax[0].fill_between(x, f(x), color = 'orange', alpha = 0.6)\n", "# ax[0].set_title('$f(x) = x^2$')\n", "\n", "# ax[1].plot(x, g(x), color = 'black')\n", "# ax[1].fill_between(x, g(x), color = 'green', alpha = 0.5)\n", "# ax[1].set_title('$g(x) = \\sqrt{x}$')\n", "\n", "# ax[2].plot(x, g(x), color = 'black', label = '$g(x)$')\n", "# ax[2].plot(x, f(x), linestyle = '--', color = 'black', label = '$f(x)$')\n", "# ax[2].fill_between(x, f(x), g(x), color = 'yellow', alpha = 0.6)\n", "# ax[2].fill_between(x, f(x), color = 'lightblue', alpha = 0.5)\n", "# ax[2].legend()\n", "# plt.savefig('images/p8e1.png')" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import name_caller as namer" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'What do you think Seba'" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "namer.your_turn()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 4 }
$\\displaystyle \\int x^n dx = \\frac{x^{n+1}}{n+1} + C$$\\displaystyle \\int e^{ax} dx = \\frac{1}{a} e^{ax} + C$$\\displaystyle \\int \\ln(x)dx = x\\ln(x) - x + C$
$\\displaystyle \\int \\sin(x) dx = -\\cos(x) + C$$\\displaystyle \\int \\cos(x) dx = \\sin(x) + C$$\\displaystyle \\int a^x dx = \\frac{a^x}{\\ln a} + C$