{"cells": [{"cell_type": "markdown", "metadata": {"tags": ["module-mse2"]}, "source": ["# Poisson's and Laplace's equation\n", "[Mathematics for Scientists and Engineers 2 ](module-mse2) \n", "\n", "```{index} Poisson's equation\n", "```\n", "\n", "```{index} Laplace's equation\n", "```\n", "\n", "Poisson's equation for an unknown function $u: \\Omega \\to \\mathbb{R}, \\Omega \\subseteq \\mathbb{R}^n$ is given by\n", "\n", "$$ \\nabla^2 u = f $$\n", "\n", "For a special case $f = 0$ we get Laplace's equation."]}, {"cell_type": "markdown", "metadata": {}, "source": ["(laplacian)=\n", "## Laplace operator\n", "```{index} Laplace operator\n", "```\n", "The Laplace operator (or Laplacian), denoted by $\\nabla^2$ or sometimes $\\Delta$, is defined as\n", "\n", "$$ \\nabla^2 \\equiv \\nabla \\cdot \\nabla = \\sum_{i=1}^{n} \\frac{\\partial^2}{\\partial x_i} $$\n", "\n", "The Laplace operator appears in many differential equation, including the wave and heat equations which we will also take a close look at. Therefore we should first make sure that we have a good understanding of the Laplacian, which the reader should be familiar with from vector calculus."]}, {"cell_type": "markdown", "metadata": {}, "source": ["(laplace_interpretation)=\n", "## Physical and geometric meaning\n", "\n", "Let us find some solutions to the Laplace's equation, which are called **harmonic functions**. We see that any $u=\\text{const.}$ is a solution, then $x, y, x^2 - y^2, x^3 - 3xy^2$ and so on. Let us plot their graphs and try to see if we can notice some interesting properties."]}, {"cell_type": "code", "execution_count": 1, "metadata": {"tags": ["hide-input"]}, "outputs": [{"data": {"image/png": 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\n", "text/plain": [""]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "\n", "x = np.linspace(-1, 1, 101)\n", "X, Y = np.meshgrid(x, x)\n", "\n", "fig = plt.figure(figsize=(10, 5))\n", "\n", "ax1 = fig.add_subplot(121)\n", "ax2 = fig.add_subplot(122, projection='3d')\n", "\n", "ax1.plot(x, [0.25]*len(x), label=r'u = 0.25')\n", "ax1.plot(x, x, label=r'$u = x$')\n", "# ax2.imshow(X**3 - 3*X*Y**2, cmap='inferno', extent=[min(x), max(x), min(x), max(x)])\n", "ax2.plot_surface(X, Y, X**3 - 3*X*Y**2, rstride=1, cstride=1, cmap='inferno', antialiased=False)\n", "\n", "ax2.set_title(r'$u=x^3 - 3xy^2$')\n", "ax1.legend(loc='best')\n", "ax1.set_aspect('equal')\n", "plt.show()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Looking at the surface plot on the right, it almost looks like there is something like symmetry going on. For every \"extremity\" going up, we have an identical one opposite of it, but going down, as if to cancel each other out. It turns out that that is exactly what happens. We can see this on the 1-D case as well, where we have \n", "\n", "$$ u(0) = \\frac{u(x) + u(-x)}{2}. $$\n", "\n", "Tristan Needham explains this in a more general case (although we could generalise this further to a sphere) very nicely in his book Visual Complex Analysis:\n", "\n", "> The Laplacian of $u$ at a point $p$ measures the amount by which the average value of $u$ on an infinitesimal circle centered at $p$ exceeds the value of $u$ at $p$ itself. More precisely, if $r$ is the infinitesimal radius of this circle, then $ \\overline{u} - u(p) = \\frac{1}{4}r^2 \\Delta u $\n", "\n", "In our case, where $\\Delta u = 0$, this means that the value of $u$ at some point $p$ is equal to the mean of the infinitesimal circle around $p$. Actually, if $u$ is a harmonic function this is true for a circle of any radius. "]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": [""]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}, {"name": "stdout", "output_type": "stream", "text": ["mean(u) - u(0,0) = 7.013888888888634e-13\n"]}], "source": ["def f_polar(r, theta):\n", " x = r*np.cos(theta)\n", " y = r*np.sin(theta)\n", " return x**3 - 3*x*y**2\n", "\n", "\n", "r = np.linspace(0, 0.001, 101)\n", "theta = np.linspace(0, 2*np.pi, 360)\n", "rr, tt = np.meshgrid(r, theta)\n", "\n", "u = f_polar(rr, tt)\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='polar')\n", "\n", "ax.pcolormesh(tt, rr, u, cmap='inferno')\n", "\n", "ax.set_aspect('equal')\n", "ax.set_rgrids([])\n", "plt.show()\n", "\n", "print('mean(u) - u(0,0) = ', np.mean(u) - f_polar(0, 0))"]}, {"cell_type": "markdown", "metadata": {}, "source": ["We can easily check this for our example $u = x^3 - 3xy^2$, where the mean value in a circle of radius $R$ centered at $(0, 0)$ is given by\n", "\n", "$$ \\begin{aligned}\n", "\\overline{u} &= \\frac{1}{2R \\ 2 \\pi} \\int_{-R}^R \\int_0^{2 \\pi} u \\ d \\theta d r \\\\\n", "&= \\frac{1}{4R \\pi} \\int_{-R}^R \\int_0^{2 \\pi} r^3 (\\cos^3 \\theta - 3 \\cos \\theta \\sin^2 \\theta) \\ d \\theta dr \\\\\n", "&= \\frac{1}{4R \\pi} \\int_{-R}^R r^3 \\underbrace{\\int_0^{2 \\pi} (\\cos^3 \\theta - 3 \\cos \\theta \\sin^2 \\theta) \\ d \\theta}_{= 0} dr = 0\n", "\\end{aligned} $$\n", "\n", "So the mean value in the circle is zero and $u(0, 0)$ is zero as well, as we expected."]}, {"cell_type": "markdown", "metadata": {}, "source": ["---\n", "Let us think again about the surface given by a set of points $(x, y, u)$ but this time consider a function $u$ such that $\\nabla^2 u \\neq 0$. For example:\n", "\n", "$$ u(r) = \\frac{\\sin r}{r}, \\qquad r = \\sqrt{x^2 + y^2} $$\n", "\n", "for which\n", "\n", "$$ \\nabla^2 u = \\frac{(1 - r^2) \\sin r}{r^3} - \\frac{\\cos r}{r^2} $$"]}, {"cell_type": "code", "execution_count": 6, "metadata": {"tags": ["hide-input"]}, "outputs": [{"data": {"image/png": 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4pHEZOOLzqyVxzVfaw4ZXoTjnePz4Mfb29rC8vFyprG3TKgMHphK73W4X3W43zUGZmZnB7OxsIVh5eXmNV7q1NOoGjbLJ4DZHY5hE8HG4GU1BRhUXw+V4G1wUgYW+zK7+ChT9hYsqI4ZdgeUdDpMKRfmxaEBEcUNUByRS9tPjQy7fZzTcygQedrdDDrGaZOgQ/dhcDlMeR9nEcVtIVVEOB3U4hkka1wEHOHJrcNjkYcPLKs45+v0+tra28OTJE6ysrDgdN+qcjWGkg4+bN28iiiIcO3bMr2ru5TUFcgENoaqgkQGEDBrDVJya5PyMuiBjWBejLGC4wkUehOSB6l6/DSBGVYVKHYMt1IqCic4lyUGIAhiRI3yYwEFKMKf3taPbYUomnxToKBtWZcrjoBWoJJcjhZN8u0AhmqhE0rgrcADxd6cLcNjkYcPLqCiK0O/30/yMspoEkKgiAR80kdyvau7lNbmq09FwqTqVAUO9oLGfIaNuwHCBC5trUQQW6oTe7G5Y4MO4ZzipvyGHZGxq+VrxOlQgUSHECCAW98MEH8OAhxR+ZXE7JgU6dC6HrVqVmsch2rnkcejacSguBzOvNq4Ch3gFNuCgCeNFwGGThw0vrejieUEQIAiC0mti1L3Oxjikq3KlrmruS+x6eY1P6URdAQ2hso5G+pwkg3vQsIc5AfVARhkHwwUwTHBhAwsdVGjL5ea26PtrQtlEW/fOi1+zZYXJJDPrIw8hJgBR3Q+a/yHlfZDtVcDDFGZlcjvKQEfTSeR1uRx1AYdx8T8COKYqVUXAEb9e4Y8grVClXaclkYcNL0mmsrZVFuDbj9Ktau5L7Hp5jVd09VrTWhpqkneZqlNAHjTo9rif6QaNSYaMIhejLGDY4CKXaI68TDBhcznk4908j6Jfi0MluVo+hw5G8hWrIun94Eb4kK5TAXgEpL0u1MoYKtUgdIzK5ZgE4IjPkweO+JzlksazdsVrcNjkYcMrla2sbRXYGKWzMS64KSqx60OuvLxGI9uifemkXuNgZMerzylE5EFDLW/bJGg0XW2qCmi45GRUgYwqLoYOMKrARS6HA+a2cjs7PFR1OiKE0nNbYni8X57w6WAkDyFKjoYBPoxhVxrwqOJ2VIEOXQUrHXSM0uUwAQcdZ9PAQcviqsDBoQ+pUqtfAdl7HkG0s6/BYZOHDS8AKCxrWwUMXGBjv0ktsSuqXN2+fRsrKytYW1vzIVdeXjVLV+5WPNaBRn57PkcDyEBDaFJAo85vDd23dJ1uRlnI0LkYdQKGCS6KwEI3mbImizcQSkX71IGHgBPdPvq5CKGGVNFj9PBhcj204EFyOXTgoXc7ykGHqWwurV5VxeWoCzhEf1RqtapRAgeQOR8m4EDiekhgYQCOeNxK/oZFHjaecokwoH6/L4UHqWrC2RDnn0QJ6BpGFNqePHmCxcVFH3Ll5VWzWPpvPiGcAoWQ2E5Dp9J9BtCoWnVKhQxdOzqGcYdNFSWAV4EM3TG2UClbmJQrYBTBhQ0sVKjIJYoPEULlGj6lSjeRC5Xz6fIx4mPFZFEPIqJvCiByTkgGDjTvQ+d6OIOHxe3Q5nXQz4pyX5UNrSpKIFc4ZyiZXA5T4rgNOED3c3fgAKCtUqUCByCuUx44gCz8SmzXlcS1XTMPG0+xRFnbMAwL15JoKoxqklX3+ESivZAIudrb25PW9mi3277ErtdTLcbYAQD/AcAXEf/t/HXO+T8a22tAQ0jnaDRZ3rZMadsy+RlNQgZQLWTKFi5lgwwXF0MFDF3+hc69SM9B+wY9Vg8WNqjQJ4jrwSFi7n8nXaWGU1HRAgjSdgIRQgxZvL4NQlQAUeEjfpzBh8710CaYJ+AhreehuB10/Y6szGv2+aITbtE3lPY26HBNIK8LOnQuhymPQ61URUvjqi5HQAZYpkqVuSxuMjaNwwHN50QHHDZ52HhKpZa1LZrYNpUgPqnORt3SvU7XVc19vofXU6h/D+BvOOf/mjE2C2DR3DSDC12JW13oVPxcHzolnqdtHECjyhoa4wibcnEzmnQyqrgYqoNRFjBc4MIGFjmnQwMTNseCF07D3KVbOC2SHLJsfwoRCoyoECI5FQRAbPAhRhOLS+Ah7QKBGmWWn8vvcHA7bNBhCq9yhY5RhFapwEHPqwurcl5xPO1rWOBwDakiieQEOGxXysPGU6jBYIDPPvsMd+7cwWuvveZ0zLA5G7qJ8tM2eS5yjnSrmnc6HQCQFhYUIVdP2/XzejrEGFsF8C8A/CoAcM57AHpFx5lK3ALyJCxQpmxSTgZ5LkBDbadzNET7ePyivabNlING2ZyMIshQczFsYVJqiFRZwHCBCxtY6IDCBBJVw6WKJfebTwiP99M7PGJy2wihFUCK4KMqeJigA2QinEpxO4qgg8KDLbzKlM/h4nI0ARzpa6gBONQEb1uVKl1IFZR2NKQqfq6GVGXXl5bENcnDxlMkWta2bH7A05azUbfKvk5did1+v59Wudrb28P8/DyWlpZ8vofXftOLAO4C+D5j7MsAfgjgdznnT0wHlC1xmz4nMecm0HBJBp9k0KjbzbCFTJkgg44jUqCCOhm2UCkTZJQFDKPToUyW6D4dVGgTxlkxZJQFEVvibTr5y5UdzSfshohSCIlY3gWhAKIHCtLWATwC9R4wQQcAsGwhOsaysC3wODxLTPZN0AHy2RLwoKtcNYzLobyMytIBh7R/SIfDNWlcBQ6RkxE/JyBBwKKwJK5FHjaeEqllbZtYpK9s+2lY1K8uDZtwroZcffrpp1hbW0v3+5Arr32kNoC3APwbzvk7jLF/D+C7AP5ANGCM/RaA3wKAGbYEQOdeuK+lQT8tKmik50RzoKHTJIOGCTK0bdM2GSTo1sWgv7CqoVIuLoYKGEXuhcm1UMEi73a4gYepv7IKleP1oVRZdSB1TDKIRAQQZBeEAgiFD5vroQOPbLQGt4MCNgUPJbwqHlM286bAT8OltNWrCDyobUGOF+MdtcuhAofLWhx1AAftjwKHGJMKHLY1OIDsM+ZL33oBgLasbVNOBW0/zZpkCKKrmrdaLSnkyq9q7rUPdBPATc75O8nz/4QYNlJxzv8UwJ8CwFKwyU3uhbrNBhpiLQ0VNAImXI+sP0CehJhAY5ylbYtAQ/2KcwIHDZiUDZmi4VJlQ6WqAIbOvTDBhdzWDh3DhlAVtTM7GuZQKgomGUTIIJKHEBlAVPgwuR70PdGBh8ntMIVYiYTyNJkcMXioOR2m0CoaKmUOrZLbxtvywAHILseogIO+rqrAAdJObSPlbyADDrEGhytwpGNWIMQWSeVhYx/LVtY2CAJEkfsvLk2tszENk/o6VEcpXVN/flVzr/0kzvltxtgNxtgrnPOLAH4OwAXzEeIXTwoVWelbXeUp0cYGGlXL244bNOpwM1wSwF0go0zS97CAkduvcS5cwKKUy2EBBpeQKpsKYYQHxnZqBaF48i+DCIUQGUCi3DERC0hbOfGcgkUReIhJq+p2iMmtNq+DyxWsxGS5KJ/DFFplyuWgYVUgx8jnyK6xYqZUkgoc4hxFwCHGpAOOorK4AYG3IuAQ10gFDhpOJUOI+Wp42NinovkZdSzSV6U9hZm6J9tPu2zXs2hV8yAIMDs760OuvCZZ/wbA/5VUoroK4NdsjU2gIVRU4lZKGIcMGvQccXvS55SBxiRBRhkXoyxg6IBBBxcuDof2uQYkuKU8bV0J45KLweTzMbRy51OBJDs+DxQ6AFHdjyLnwwU81DArmtuhrt1hrWDlmESuhlZlLge9h7PPbVEuR90uRxXgoG3KAAc9H83hEH2rwBGHZOlXGdcBh00eNvahXMrajgI2pt3ZqFNNOhtF0pXY7Xa76X4fcuU1aeKcnwFwyrW9Chp0u1p5ygQaTIGOrI0eNED2x+3zn5txgkZVN8OUAK6GV1UNl7JBRhUXw+ZgZBCSBwmjy2FwPOJj5An+qEreCunCpOhohNKwqARIBIjoIIQCiBpOFbFsWwYfdJsYjJzrkc/fkMeocztsCeU66HAJr1LzOVwSyItyOUwuxziAIzteBg7ajgJHwHjyWMnhSOZiNuAQbUFcDxU4bPKwsc8UhmH6C7Zt/QyfszHdqgovOtcjDENsb29jZ2cHx48flxYW9CFXXtOiXKUpMh2jeRppe/JcXUuDggaUxzQhfFKqTlUBjSoJ4Do3w7YYX9lwKRtkFLkYZQDDBS6KwEJboYqb3Q3bcTbpEsJjZecKWEvZEynHydWpQhZKAGKDD6mvdCIug4fcxux20PGIfdmzvNMhNuvCq0zrdIjPbwwOWShQRIjAlkBuy+WwJY+PAziMORzJeHXtMviAnMNB5ni0BG72XORmxGej+Rs07MokDxv7REVhU6qarkYlxlR3n9OqcTobNol7ReR4MMb8quZeU6X0FzggFz4V73crcQvoQcO2aJ/YD+WY/QoaLhWmqJtBISPb5gYZLqFSLiFSNsAwwUURWKhQYQMI2+rfbpKPD9DKt+BZKBQ9jkKIDUBM8KG21YFHdgMqbRK3A1znZohfwvP7tNBBXI54Wzbzp9ARJPtsLoeaQK4DDnHstAIHbSu3U0KuIINFmZK44nx0wT/ba/ewsQ/EOcfdu3cRhiHW19edJoRqToVL+2HhRJ0gT/LEddIhqCl4Ma1q3u12032+xK7XJIqChnA1TAnh8fPsO4jmaQBuoKGCQ1nQqOOTYwONsmFTw7oZRSFTReFSLqFSRS6Gcb8GRkxwIYVXFUCFCSSaCKESsodSJcnbCTjkISTZn0CIDCB5+NC7HjJU0FArcUMGoKFYAM3toG6GmtdhCq9Sy+aWCa1SXQ5bLodL8nhRHkcdwCH6ESoDHLS9ChzideVCrkj+hq0krjjetMK4TR42plyirO3Ozg76/T42Njacjhtlzoat1O4kT+on0Ymg/dUp3fhsq5qLfcLx8PkeXuOUDTRMeRquladEGyAPGrZcjiZBQ/fpbwo0ihLAy0AGkHcyXEOlqgKGChcuYCHncxS7GDb3gvN6wYMxepfpXY88kIRSGxlCMgCR195IrhsTgTMZfBSBhzHMqiDEikIH0hFkTkchdJCQoHjw5VyOFCqUsCqXPI6mK1W5Akedi/4VJYyrwGGTh40pla2srYtGmbMxGAxw7do1LC4uYmNjA+12O9fGq7zqvH5RFBXeQ6ZVzfv9PjjnaLVaabK5L7HrNTrJ7oVLQrgLaBQ5GpMCGqawqbrcDBNkiOPKOhlF+Rg6F8MGGCb3QudcpEDiABZFLoYJIlxcDZfcDiBzIGznpXe8BBkplChuBzSgUQAgAj4CBGnSeYRWDjwAJF6FHjyyfXm3QwcdWX/lnA4aWqUrletesUpup3M5Rpk4XhdwiNdUBjji82TAIc4rgCMbsV4eNqZQuvyMptfNqNp+d3cXZ8+exeHDh7Gzs4OPP/4YQRBgfX0d8/PzpcY8zZrUnI1h+lNDrgBIJXYfP36MgwcP+pArr8alLuYn8jTotlyCuHS83Jfa5mkBjaJytkV5GTT52xYuVRQqpXMxqjoYKmC4wIW0XZncl00MHyakKtQAjSl0CpDhhCshVClkEAihAEJDrWgYloAPGTySUClNuFUsQ6gVz++jbocpr0MOvcqgw5hETkKrGEvKsiYuB4fscsTHMKdcDp3LMeo8jjqAQw2pUs+jVrwS+RscFDiyz68vfbsPJdZMUMvaloWNUSzq9+TJE/z4xz/GF7/4RSwsLKQT2l6vh+3tbXz22Wd4+PAhoijCxsYGNjY2MDc3V+ocT6smATao6Krmor+LFy9iaWkp3edL7Ho1odTiB6TwKWm/khBuqjxVZXXwMsngw8gGGnWETZncDNGuipvhEi41DGS4AoZ8fAF0kAl+UWK4rk3Wz7CJ4XqJ18o0rkcGB9LWHIRQACmCjzSjg8v96RwPHXhkGSFQoEPO7VChQxwD8kgNrzIlkRurVpFcDnGcgIlhgSM5ndRves0xHHCoGhY4oLShJXHVClVqwjj9HlIX/LO9Rg8bUySRn0GTeYUmYd0MIc457ty5g/v37+Onf/qnMTc3l/7aDQCzs7M4cuQIlpaWcOPGDZw4cQLb29u4cOECwjDEgQMHsLm5ibW1tX0TijNpcNB0fzSnQ/TvVxN6QxcAACAASURBVDX3alK2PI10v5QETh8j91gOx4r/1cGIUBFoDPPpqhs0qoRN2dwMU16GqboUzckwhUvZQqXKuhg2wHCFCx1U6ICiyeRw+dyyc5GdP8yBiAoh0kTYAB8ZghB3Q1SsUkKGaGgRAEQMKXSo+R0m6EivGgtAK1gJcFWrV6n5HC4uh5rLIVwOChykWwQlgCPpthHgUN0NwAwc6n6XNTjU/kwVqsRYbAv+meRhYwqkhk3pJmaTsg5GGIY4f/48BoMBnn32WatTISakKysrWFlZwXPPPYfBYIAHDx7gzp07uHz5Mubn51PXY3FxsZEx6zTJietAM7DR5ITfr2ru1aR0eRryc7lt2TwNsR+QJxC6djpNOmi4VJqyuRkqZMSP8yFTZSEj6ycPGXUAhkuCeNzeIUncIRHctsq4TUxT7pacGQAQkMRxHYhQCNFVqUrdDy62FIOHOcwqAQtx45P71Ox0UBhJXAwLdOTL5Sa/xhe4HDSsKr5udG0NTfL4BAOHtF8TJqVdQVxppyuJyyHnb0C8vsL8DbM8bEy4RBJuGIa5CRtV2bCosnKZ/HU6HZw9exbHjh3DwsICtra2Co9RJ/XtdhsHDx7EwYMHAQC7u7vY3t7GlStX0O12sba2hs3NTRw4cCD91bwpTbJzUHd/URQ1fj2pilY1b7VaKXz4kCsvF6kL94mQgAwI8iuEu1aecgWNcTsaw+Zn2JLAVTdDnEfNzSgKmbJBRtlQqSLAsLkXJrjgFujQAYUNIOqqRKWOQ65IFSvk8mrhsWQQUSFEBRA1OVy4HnK+RwIaBeAh3gFdiJXd6dBDhxpaRStXZVenOJdDtxigqUQuBQ56blPi+KiBQy15WwQcabiUpp2uQhWS16RbYTzdz/Lrb+jkYWOCFUUR+v1+Lj9Dp3EvkLe9vY0PPvgAr732GtbX17G1tVU4HpcJ5OLiIhYXF3H8+HFEUYSHDx9ia2sL165dQ6vVSl2P5eXlul7KVGjS4aWMbCV2xX6a7+GyaKXX0yXTwn060BATC11olCkhPPdYaafuz8ZVTbpvzjpAw6WkrS03owgyINqpYVQayKCVpcq4GGUBwxUubGChAwodSJQJoSoCER1QmI6VHQwKBrHyIBJpAcQEH8L1oPDhBh4AZ62c26GGWImE8YgFoBWsZOjgaclcDhokqbofiXuJ+H4XC9IJlyP+NT+fy6ErkUvDqlzyOMoAR9JtaemAg47bBhz0MW0HQ8iVboVxChzqgn82ediYUA0GA/T7fQBwCm9p2tkwiXOOjz/+GLdv38bbb7+N+fl5AO7wUwaQRBWr9fV1AMDe3h62t7fx8ccf4/Hjx9jb28Pt27exsbGB2dnZai+oIU3jOhvjkg4++v0+dnZ2cPfuXTz33HN+VXOvVPTd1yUpmhLC42OLQUPtUfdtPMmgUSZsqkxuhkteRlXIoC6GLUyqCmDo4MIGFi7VqFwcjLIuRw4obPChAQx9KFUWGmUCEB18yDkfYc710IGHnFhOw6xktwMcBDpowngGJSanQw2tAuR8DjWB3JrLQcKqqMshYMI1j8MVOOL3ox7giMeN3IRfrSpVZg0OcR41f4POPRiQAod4bpKHjQmTyM/48Y9/jC984QvO1ZnG4WxEUYQLFy6Ac47Tp09LUOS6ivkwmpubw7PPPotnn30WnHO888476Ha7OH/+PKIowvr6OjY3N7G6urovE5D3i7NRJBpy9eTJE4hVzff29gDAr2ruZczTsCWE11l5StWkgwZ1M0RfrrkZRSFTqpshAUVBuJQJMmwuhi1Eqgpg2BLGtW5GAURUzdPIn0cXJuVwHKIchEgBheRmpfeauOdFe+p65NaUSJ4L8JCgIYEQegwFEgod6bkhQwd49tmLAOiSyMmrUFwOElqVfo7zuRxR8p0RKS5HlTyOcQFHui9jpxQ4qlaoirfHjSIgTRjX5W/Y5GFjgkTL2g4Gg9K/+o/S2eh2uzh79iyOHDmCkydPaid4dTsbNokJ6fPPP4/nn38eg8EA9+/fx+3bt3Hp0iUsLCykIVcLCwtO45rkyXwTORt1AlkT4CvGSMfpVzX3orN+8UsclSlPA9BDxLjX0qDSgUak2V8EGq7VplzCpnQJ4EV5GaqbYcrJMDkZtlCpIsCQjuPZubLr6g4X+tApO0zUvYK47QbjPHSDERrSQ0OeFOdD9KVCRd7xkBPMI+UzE18BO3TQ8Cqh9Jd5yeWA1uWgiwIK4MjOrc/liB0MLgFHclGUalXi88NKAYd4DUXAUVW6kKoqJXF1bWh/4hyqU5Irh2v5W+thY0KklrUNgqB0dalRORsPHjzA+++/j1dffRUbGxuVx9PkJLDdbuPQoUM4dOgQxOKC29vbuHTpEvb29tLyugcOHEh/NW9Skx72NOn9AXog0q1qTkMQfYndp0OmMrdF4VOiLSD/nbRVjG8KNNRviHGARpWwKZObYStjq4OMdL8BMopCpUwuhs7BMAFGEVy45m7Iqhc2Cv+U6G7CMsfw/PbsXsxyPdJ2SpuAZQCjhliZoEPcUWpOB6BMcNPZdeZemF2O8mFVtkUAtetxFACHGEURcFR1N6RLAnI9NcCRP85coSq3H/n8DW05XIs8bIxZYv2Bfr8vTZoYY40vuldFN2/exM2bN/HWW29ZHYImcjaqijGGpaUlLC0t4cSJEwjDME00v3r1KmZmZlLXgy5C18Q46tKkw8GoYENVUYldH3K1PyXeRbXMrdiW7XfL0wDk5y4J4eMCDdeKUypo6KpNFZW0NZWzNbkZOsgAkIZMDQsZRYChczBMcFEEFnqoKAihqtvVSM5ZnDwu78+HUskOCOfZfto2C6HSOR5Zjocuv0N1Q2K3wwQd+QpWUTKLpknksaORVa4yuRymsCrxKTWGVRkSx4uAAyBOBptM4NA5F7StKX9DDaeKyJyNJosXjd3DxhhlK2vb9IrgZSVCVba2tnD69OlCN0CdxOngY1wTPVrFCohDwra3t3Ht2jXs7u5iZWUFYRjWupr5NDgbdf7qX3dYVtU+1RK7URTlSuy2223Mzs76kKspl676lG3hvqKE8EkEDWmfATTKJILrwqZMboYuN8M1ZKoMZLiGShUBRpF7wTWOh9omkyZ8ygISZapSVZFpQb9MeSBRIcQGIBQ+xM2tC7eygQeHHGIl9lHoyMKo9NDBWYB8ErlwNGhoVb5qFa1YJcrkZtuSUfIk9IplwBFPyJk2cVytVGVecZwklgPadsD4gcMlf4M+5iD5GyxfncomDxtjUlFZ27JhVE3Cxt7eHs6ePYsgCPDGG284J39PirNRpPn5eRw9ehRHjx4F5xyPHj3CRx99hOvXr+PWrVspmKyurg41GZ3kieykwwswPMDoXI+trS3cu3cPL730kg+5mlIJiz99rrgb8X7xmEl/3MskhNvOX1VVQKNMadsqYVMCMtJ+iJuhy83QhUyZIEMcWwQZw7gY6rE698IOF/ZQqnS7DSgacTQ0p7HdfNo/rflkcekupxPfBCRMrkfavyaMSuzXuR1qiBVNBtdBhz6JXNSgCsgsOx9aZcrliO9x5JLHdWFVah6HeK3FpXFFCFI+cXxUwKGTC3AEnLYpXn8DyIeqqvKwMQa5lLWdlDCqhw8f4vz583jllVdw6dKlUhPSceZsVBVjDGtra+mK5evr69je3satW7dw8eJFLC4uYmNjA5ubm6Wcj7on802EKNWdcD6OMKoyEuMTIVVqyNXv/d7v4fvf/35t5/NqVrrqU/QO1OVpQLO/bEJ4VdUFGro2rqBhqjZlSgI35Wa45mUUhUuVhQwTYEjbCnI25Cud32eEihFVoTIpnnxb3BXTfarcePTezv3JVkKhdPvUUCvhdqhhVGDQhlhR6NCFV4l1OnRJ5FkYVT60ypbLYUweT4AjdQIL8zjk0rh54Ig/j6MEDqqyCePSscg+FUXlcGn+hkkeNkYokbw6GAy0bgZVWaeiKmzYJsG3bt3C9evX8eabb2JxcRGXLl2qfTyT4GzoJK7LzMwMnnnmGTzzzDPgnOPJkyfY3t7GhQsXMBgM0kTztbW1kSSaN6VJr27VVJ9hGEp5UuI97Pf7eO+992o9l1dzCpTHVcrcqo/Vdrr9VT8xZUAjO0bvaEjbxKQp3V4uP6MoCdyWm5E5E9l2XciU5GAobkYRZAzrYmT77e5FbupkdDdcgaIup4OGQZnPbQQRFkivjSGQXrv6JyC9x+h2C3jIYCGHWBVBR0RCG6nfIld3kvM5APkY8dN+cS6HCiGW8rgG4MjG5g4c9OxNAYdLOBUM+6uWwwWKXWAPGyMSLWvrsgLyKMKoTGOIogiXLl1Cp9PB6dOn0W6Xv01cq1FNKmzoxBjD8vIylpeXcfLkSYRhiAcPHuDevXv46KOPMDs7m4ZcLS4uavNWJlX7JUG8Sp86SOx0OlhcXKz1XF7NyhY+BfI4dkDkbVUW7msSNEz7y+Zo2EDDVNa2KD9DgoqCsCm1lG1RyJQpJ8MVMuyAIa5CfrsLXNjBYjRhU8XnEeFO+bHqACTnfpB7LQ6XEtdV6ijZpimzq4EOQNyjeeiQQq+4fp2OAPJEXEzU8wnkeeBAus0teVxXHteWOM7SsRUDB4AcUIC00+1vAjjSbZDvpuJwKrkvUziVSR42RqAwDLG3t5dChmvOQ9POhjgHnWz1ej2cO3cO6+vreOWVVyZ6gjxutVotbG5uYnNzE0A8Qd3e3sbVq1fR6XSwurqKzc3NdMXzOlU3pNU9kW8KDKqAr03U2aDa3d3F/Px8refyak5VwqeGXbivDplAwxQaRdsNCxq2RHBTtamiJHBTbobqZrhCRnwNzOFSJsioAzD0cFHwN3lEuRo5MWlqrVGQez05+FBcDxk8yGYNeOQI2gIdupwOmqehQoeAC+qGpNuUXA4KHFnyeHngEGPNAQfiz1Q14Ki+8F+dcgmn0q2/EV8deziVTR42GpQoa/vJJ59gZ2cHL7/8svOxVcKoykoFlJ2dHbz33nt46aWXcPjw4dL92fqu2maatLCwgGPHjuHYsWOIogiPHj3C1tYWrl+/jt3dXVy7dg0bGxtYWVmZOIh7WsOoTACzu7vrnY0pU1H4lK6q1KgX7qPfdnWDBk+Py0AjIttU0MgCivKgQSEDAEIMkrZ6N8OUm6GDjPh15PM3ipyMci5GPqxK9J09KYILw99fR6BQY+DrloTUtjEx9Tfs5BC1mbJBcj2KwENxO0RSucjjSCtZGcKrTNAhKleJylYUOky5HAECqMnjwikBayNCiIAzbR5HRF6MmscRESIIFOAAmgOOpsOpTA4HbVdUDpeGU5nkYaMh0fyMVqtVOsSpbBhVFdHJ/u3bt3H16lW88cYbWF5eNh7jOindbyBRVkEQ4MCBAzhw4AAA4J133sH8/Dxu3ryJnZ0dLC8vp4nms7OzpfuvG1ae5jAqXZ/dbtfDxpSIQQYNU/gUoM/T0PY5oaBh2i/cDNFHUWlb6mbEx+hBwzUJvEzIVN2QocvD0CWMxxuos+EAF9bytsP+fXMLiap6/hRGDLkb6vlt8EHBg5bAzQo1kWmzxe2g0AHkw6ty0IEYKEQ+hy60Kt6mz+WI8zaSMCseABgk59fnccjVq/KJ42l5V1qpilRjmlbgUPfR57r8DfqYIwMO2xg9bDQgtaxt1XyKJtfNoOe4fPkyHj16hNOnT2NmZsbavgxsuLR5WoAkCAIcOXIER44cAeccjx8/xvb2Ns6fP48oirC+vo6NjQ2sra2NpeTq0+psmMKoOp2OD6OaQqnhUzrHYhzraZi+5YpAQ9uuBGikbocBNIoSwXVJ4NkxedBwDZmiyd+mcKmykGEMkSoDGMZEcNe/U3X+zS7TV/47TDdmI4Dk4EMOu5JcDxpupXE8cknljtAhVa9St5cIrYqkGTYth4vU5TCHVUXJq9cnjptK4wbJNhfgiF+iG3BQNQkcZcKpaDlcXf8medioWWEYpqUzRX5GFZei6UX6hM6dO4e1tTW89dZbhZPNsnAwjaVvhZqEIMYYVlZWsLKygueeew6DwQD379/HnTt3cPnyZczPz0uJ5qNQ3RP5aXI2dAniPoxqumRavA8oHz5lUl2goSZqAmbQiHg2eTOFTg0DGkWJ4FXCpkwhU/HrCVM3g0KG6Ks2yBgSMIrhYky5GUaZczWo1NelhY8S4JEtM5FVtSoDHSBt6C/mFEZUELG5HBQ4dCVy3YADUMOqikrjlgEOMWG3AUc6Ci5/n9UFHDrZyuGqUJIeI71v9pF52KhJtrK2VcChadh4/PgxHj58iM9//vM4efKk0zFlYGPaS98Co4OhdruNQ4cO4dChQwDiie729jauXLmCbreLtbU1bG5u4sCBA7UnSAs9rc6Gqc9Op4OFhYVaz+XVrGj4VNHifcY+LK5GFdlAg0IE3aeWuBVtTOVtxX6ao5Ftt4OGSyK4KQmcQkbchwwaRW5GUciUK2S4uRjDAkbZv8Wj+rtWdJOq4zbDR1nwoAnmuvwOJ+gwuBlA5mjEeR6kVK7B5ZDX5TCHVdUFHFkrSMCRbjcAR7bPDBxNVKiiKiqHq2ubD6fSL/ZnkoeNGlRU1nbSwqjEL+irq6s4ePBgqTHVCRuT7GyMU4uLi1hcXMTx48cRRREePnyIra0tXLt2Da1WCxsbGwjDsFZAaAI2psHZCMPQl77dB1LDp4TGGT5VBjSyY2TQEL+EulSdyqBFnwxuSgSPxxGDRogBaPlaF9CQXAwCGkW5GcNChugrfuAAGaUAw/Vv77h/LDOd33THmuGjHHjooUOEWJV2OmyhVYr7oXM5qCugczlMwBF/KgKAtVPgkK+SHThSJwP5pHGWjkUBDk7zNzLgyM7YDHDYwqnSbeL8DuFUcZ9yOJVNHjaGVBRF6PV66WRNN8Gq6myIVcbrEuccV69exfb2Nk6fPo0LFy6UchbKwobrmLzMCoIA6+vrafncvb09bG9vo9fr4d1338XKykoaclUl0VyoiQTxaXc2PGxMl9SkcB1EqG11d1NdeRpURaAR/zKoB430uALQcEkGrzMRvChsqsjNoM4EDZmq4mQMDxhFf5+n7e+UK4To4aMYPPRnEiFWrk5Hbq0ObWgVWZ9D43LoKla5AAdddRwYIGJJHauCSlWuSeM64ACEE5IHjohnbqwLcFSRCThs5XCl40k4lRr6pgsPpfKwUVGirG2/30/zMkyahDCqwWCA9957DwsLC3j77bcRBEHpXJJhnA3dRNY7G+U1NzeHZ599Fjdv3sSpU6ews7ODra2tNNFcgMfq6mrpibkPo8rkw6imR2XCp0yuR91fRfRb0gU01Mdq5ami8rZlcjSq5GcUVZsyrQCuSwAfGjK0LoY9TCoPGPsNLlylvq5i+LCChxJmlXICvecVJ6MIOjjiECnw7HE6KdfkcohtqsuhVqviLECEVloet2ziuA04YqjgWuBAOpYMKHTAASiPYQeOOsKpqEzlcHWL/ZnCqWzj8bBRQbb8DJ2qwkZdv/rv7u7i7NmzeO6553D06NF0e9mE72ESxE3XyDsb1cUYw+rqKlZXV/HCCy+g3+/j/v37uH37Ni5duoSFhYW0vO6oKyvthzCqMiGGXuNX2fCp9LiGw6dscilxO0mg4RI2pXMz1JApXfL30JBRCBhKe6X10ylX+DA4HoYwq4wjNHkdFuigw6HQETsaMZDYcjkocCC5p2zVqsrlcRTncJiAI3Yii4BDzt9wUd3hVKZyuGXCqUzysFFSURRhb28PAJxAAxhtzoYaDnPv3j1cvHgRX/ziF7G2tjbUOYZxNnTHTbKzMckQZBrbzMwMDh8+jMOHD4Nzniaaf/jhh+j3+zhw4AA2NjZw4MAB7QS77jHWfQ7vbHgVSedqAOY8DdOx8THllfv93OJqmErcqqAh95eBhqpRgoYtCXxYN8MtXKoMZHjAcJcUFEUe02sog4fZ7dDkdWjK5saf0yTHgwCJWAxQF1plrFjFafJ4K+dyjAI40iupcTjEddMBh9g3ioRxG3Ck2yCHU+mqU5mO1cnDRgmJZN0PP/wQb775pvNkeVRhVHQdDM45rl27hrt37+LUqVOYm5szti/bf91tJ1WTCkMu+RWMMSwtLWFpaQknTpxAGIZpovnVq1cxMzOThlwtLS3VPsb9EEblczamR0VrahiPM+yv45NftvIU/bpUczjiX0al6bfkaowLNExhU7ZytlXcDJecDA8ZdYtaDlR6t0OCDlMyedqlnEhe5HJISeVKrgDdZkseHxVwpO4GvVpSSVwZOMTrFhP7KsBRReolTrcr7oYq29obNnnYcBANmxIQUGYiOirYEMdwznH+/HnMzMzg1KlTxgla02FUQmEY4oMPPgDnHJubm1hfX2+shOvToCrJ3KKK1cbGBoB4hezt7W1cu3YNu7u72Nvbw507d7C+vm5d2LHJMRbJw4aXXvnwKRdXo+kyt+l2w46iErdinwoaavjUOEHDNWwqfVyQm1ElZMoNMjxgVFeR26GBDm1ORwwdptAqRh0RxeUAEqcDUQoXDC1EPHIOqxoLcCR/B3XAgWQ8YNl3kqlCVfpOcGh/IKnibqgqs9ifrk1ypLF/P+MrEOcc/X4fYRiCMYZ2u13JcSirKjkbjDF0Oh28//77OHbsGE6cOFHYvukwqm63izNnzuDZZ5/F/Pw8tre3cf36dbRaLWxubtZewvVpUB3Xa35+HkePHsXRo0cRRRHeffddPH78GDdu3AAAKdG8yrmaAANgdG6TD6OaLlVZU8OkOsOnJLeC7HMtcav2O4mgoStpawubsroZlSHDuxijkc7tkEOsiqAj60GBDimsqsDl4PH9QpPH6dDotkkBDnoFXUviSuFW4nilHe132HAqV5mSxW3ysGFRFEXo9/vS+hmjWtm7Ss5GGIY4e/YsXn/99bRUqk1NV6MKwxA//OEP8dprr2FlZQWDwUAq4bq1tYVer4d/+qd/wurqqnc9HFV3eFoQBGi1WnjxxRcBAP1+H9vb27h16xY+/PBDLC0tpYnmunA8nZpIEG9CpjF2u13vbEyZ6lhTo07QkLZp9hWVuOVpO31CeBOgEaKfgkQ8lmLQMIVNmXMzXEOmqkKGB4zmVex2lIUOawI5g7FiVRZWJZfILQIOugAg2EzjwGFKGLeVxAWQgyOquoGjjLthShY3yc/qDBoMBuk6F/QX2iYX26MqAzWcc9y4cQNPnjzB6dOnc4ngJjUZRnXr1i10Oh387M/+LBYXFzEYDKT9c3NzOHr0KD755BO8/fbbePToEba2tiTXY3NzE4uLi1MxaR21mrwmMzMzeOaZZ/DMM8+Ac44nT55ge3sbFy5cSIFRJJqb3Ism1tkYpXZ3d72zMSViTA8RowqfonLN0xi28tSwoCEW74uSs6ugYYOM+DXIoKFzM0y5GVUgY7pCpUb992rcr9vmdpSADvGZ0EBHkcsBZWIuQ0iIAK0UUESuSIBW2j5EPwWOKAGIbLG/5oHDtUJVU/kbVMOEU9mmJR42FBWVtR3VxNfVdYiiKF2cb2Njo1S8fROwwTnH5cuX8fjxYywtLTn9OhwEAQ4cOIADBw4AyFyPq1evotPpYG1tDRsbGyN1PSY5uX2UYWeMMSwvL2N5eRknT55EGIa4f/8+7t27hytXrmBubi51PRYWFtJxNRVGNSp1Op1GEue9mpMufMr2R7jJMreuladA9lMIibc152jUnZ+hAw2nSlMm0JgKJ6OO72DTd2SZHzRN4xj1dRkGOpR8Dm0CuT6Xw1StygQh5vU4+uAsSMYguosadTiyseUTxstUqFLfhWHDqWwVpiRHQxNOZZKHDSLOOXq9nhQ2NS65OCjdbhdnz57FkSNHcPLkSZw9e7bUJLnuMKrBYIBz585heXkZb775Jv7xH//RuW8q4XqIfIKHDx+mycztdntkrsekOirjzHFptVo4ePBgugZFp9PB9vY2rly5gm63m4bDCVivU3UDoK0/H0Y13VKTK22ridcll/KPoh2FEfW4+BdPLk03KWioqhw6xQgQOIKGKT/DngRuzs0Yzs0Y9WTa9eap40eWMn2Y5gnqeEd1vUzQYUgkL3A5dBWrYocizJ9KE0LFWCu5X+3A0WJifGGaxxEI768EcOjuE/GZTgEjeSFilfG0hxRQMtfTxbWo292g0ieCy+6GizxsJIqiCL1eL53IjXuiWRRG9eDBA7z//vt49dVX0wpDTVeXsrXvdDo4c+ZMbuHAYRUEAdbX17G+vo7Pfe5zWtdD5Ho8LaobNoaZxC8sLODYsWM4duwYoihKw+G2t7exu7uLQ4cOYWNjAysrK2P/TKmyuS+7u7seNsYoxlgLwD8D+IRz/q+K28f/6v7gjmJNjbLhU3Q/3ScmJVlfPDeVVF0NnYpAIz5nmIwjg4CqoOGSnzF9bobLXeEOBbrqQmVkntjpxqC7ZqOGD/U39szliPdyJ5dDV7FKCxyAFFZlShxvJet3qMDBk09CQK5nHFJlzuEINJcwSgagXfQPkBLGBYBo8zekK1kunKopd0OXm0HdDZueetjgnCMMQ/T7/TQBfBJkcx1u3ryJGzdu4K233pLiyssmr9dVjer+/fu4cOECXn/99TQUqinpXI+trS385Cc/we7uLj7++GOj67G48p9z/e3ufKvR8TahJmCjjv5oOFyn08GJEyfQ6XRw8+ZN7OzsYHl5OQ25mp2dHcsYqWywsbe3N/JV170k/S6ADwCsuh5QZqXwYVUUPiXkunCf+kd96PApm6OhbIvHERaCRtbWDhpFYVOT7WbYbhL73KAyTDClX67/m1zUv3ztXACE9tfUda3J5aBlb5H92k6BI7cIIJMn4GJbyPsIWCvncDCerTQORHBJGhfZH1XDqdR3Sbfgn3A3VOBIj6kxnMokNUzKlixu0lMNG2pZ26Z/eS0zYdKBQBRF6WrQX/3qV3MrNI/D2bh58yZu3ryJt99+e+STM+p6AMA777yDdrutwrBqxgAAIABJREFUdT2WVv8zAPl6RVGI+aX/B90n/91Ixz2sJhU21D5nZ2extraGI0eOgHOOx48fY2trC+fPn0cURWmi+draWiHkN5EDEoahcZXzaU9wn2Yxxo4D+G8B/C8A/sdh+mrC1chNh7W/btL2PG2ny9Og/daVp1Gm6tSwFadsieD1uRlNQkZ5wDBO/FVwqDSckn1wMbXVhe+YAGTU4KFCR0mXg4RVie5cE8etCwAS4AjRh1iVPGAtKWlcjDQHHDXmb5gW/AMg7TO5H7Qdveplvt+quhsuemphI4oiPHjwADdv3sTnP//50pOtshM04TqYJjem9kK9Xg9nzpzBoUOH8Oqrr2rPXcXZqAobnHNcvHgR3W4Xp0+fdn5dTSoIAq3rcezk/xv/mqi5NJwPMLf4f2Nv978f/YArqm44GMVieYwxrKysYGVlBc8//zwGgwHu37+PO3fu4PLly5ifn5cSzccxRq+J0f8G4H8CsOJ6QFVXY9hPUVH4lG3hPtMK4cOCRlppqmbQcEsEdwybGjtkmN75/PeBFiyMQOD2fcLg9vdSXjnd1Jl5+sc0Lkl8vXPTVGl0tHW9MkOHPoFc7MsnjwvgAJLPHnUwxLE8vldz63EYgIPmcKhVqoA8cAADxBWrmgEOMLU6lcb9gDmcqopU4Ei3O7gbNj2VsCHK2nLO0el0Sk/cxKS7SdigE/uHDx/i/PnzeOWVV9LE3KJjyp6jTPt+v49z585hbW0NX/7yl52uw6jj9anrwfk/x0lifKBty3mI1tx/RLj3q2Rb03Z9dTWRKN1EiJKtz3a7jUOHDuHQoUMA4hyJ7e1tXLp0CXt7ezhw4EBaXlcspDkq2PCLTI5PjLF/BeAO5/yHjLF/aWn3WwB+CwAWWcwkoyh1WxQ+peZp0Mc0fIruM4GGfF73ylM20OACLCqChi4R3Bg2NZSbMUrICJQWrnChAxOHv+8lnAuGwBhWRaW/WlH+XDzKvb48fOjAYxTQobgcQAIXyhHU5VDCqtIu1e41gOEKHDRhHJCBI+BJCrmjw0HvvyLgyHrJAwfI+HTAoV7pYb72ypbCNempgg21rG2V1cCBuCJP2clPFdcBiNeruH79Ot58883ChNWy5wiCAGHo8MsJGVOn08Hly5fx4osv4siRI87Hjkutuf8IYD5NbjSJsXa6toK49pM64ZyWMKoyn4/FxUUsLi7i+PHjqesoKpC1Wi2srKwgiqJax2oLowIm9/3f5/pvAHyLMfZNAPMAVhlj/yfn/JdpI875nwL4UwDYbD9TaSbURPiU3J6ESGnCp3QrhKvnE64G4AYaaV6FATSiCQGN0boZxYARt1LtMLWNCiWa744CkMhH6TtI/JJva6K5ZPlNCnwo4VfZe6IDj6bcDjoVtrgcluRxY3ncdIJM8j0qAAdjQRIylfWZ5WzQBHI7cGSORvzY9P3DIcYkh1PpyuGaVHc4VZnjTHpqYENX1rbsZFuoyiriZY+JogjdbhefffYZTp8+7bS+RNPORqfTwa1bt/Dmm29iddU5b3NsYu0/ATCPMOqCsfj6cT5IHwNAwNqI+ACcD7C0+n/gnf/vLRw4cADdbre2xRubcEkmHTaGcSKCIMDGxkZaZW1vbw+ffvopdnd38e6772JlZQWbm5ul15VxHeMku1r7XZzz3wfw+wCQOBvfUUFDp3Es4Cfk4mqI/dr8DsfwKZ1U0BBgke5TQCODEfccDfm1yqFTYhSTCRoVXAwLYLjAhQ0m2BD5HGJCbRJXXyqPcuOVr2wePOi1yINHk26HOhXWuBwlgSM+NqtUpV77iEdOwNGKA6Ay+CCz8BaC+LNGfukXwNHS3Cti5K7rb2RjFe2z52XdjWHl6m7Y9FTAhqmsrXAoyqoKpJSBjV6vh3PnzoExhq985SvOE8G6182g+vjjj7G9vY3Pfe5zUwEaQgIuKGTQbaESWnXq1Ck8ePAAH330ES5duoSFhQVpXY9J0DTkbNQ5xrm5OWxubqLT6eALX/gCdnZ2sLW1hU8++QRRFKVgsrq6Wup1hGGobd/r9UpXy/KaLtXtaqigYao+Jfap4VNZvyXzNBzX0ki3CaBwBA1dMriao1EPaDTtZpSBDANgOICFHijq+W7N+tYlH6qN824IdT+M4FHodqjQUSdwiD7FeaoDh3EtjmTiztDSAodaFjf+LMgTepc1OALpc12cv6Fbf0NbDlfjbqjjS886JnfDpH0NG0VlbSfR2djZ2cF7772Hl156CVeuXCk1YStbytYFTkQFrMFggOPHj49sBe8mRHM2oqgr74vifYx9Dxsbv4+trS0cPHgQ8/Pz0qJ1Bw4cwObmJg4cOOCcfzPpYU9NhVE1AUSMMayurmJ1dRUvvPAC+v0+7t+/j9u3b6dwKBLNi6qjmXKoRDid13jFOf8vAP6La/tRuRq6pHBTO1v4VNF6GlSm8Kl4XznQiBAWggYFChU03CpO2fIzmnIzSjoZJQGDwkUeKpTzWFwM1+RwoXySeNa3eC90IKK6IdT9MIKHFC0VOUBH3eFV5rCqfOK4aK1bj4N89uismcAFkA+pyu7lGCriwrZ5ByFiiTsiRkmAQ2CI64J/4pUGyt9MWziVcBS0V5AASZ2L/bm4GzZN78yxQGp+hm7iU3Uy1BRs3L59G1evXsUbb7yB5eVlXLlypdFxFTkbvV4PZ8+exebmJl544QVcu3ZtakJMOP9fwfgKeARwxCARtOZzYVQ8GgBcVJSQ9wH5ResePHiQLio4OzubTmxH6XpMA2yMKixrZmYGhw8fxuHDh8E5TxPNRYlommiugoWpz06nMzEultfwqrvUbbrdED6lW7zP9IfYJXwqw4dyladMoJHCgwU0TFWnbBWnxudm2CGjFGA4wYUZOlSQKAqdMu2nkKBzUDLIiM+XXftA2Z9VqpLggzgfNAndBB4sB41NhlfpXQ5THkfamgPWSlUG+KDAESIBjOQ5ZySESgWOFC1k4LBVqIrvRffqVFT6cKrixf7UKzuMu+ECFSbtS9iIogj9fl/Kz6hTVcKvbCDAOceVK1fw6NEjnD59unIcepWcDdOYHj9+jHPnzuGll17C4cOHK/U/TrHWQgYWiaMRhd34cWs+g4xEPMnriI+B9nWquQSdTsfJ9Zh0OJiG6ksuoV6MMSwtLWFpaQknTpxAGIZpovnVq1cxMzMjwaEpjKrT6XhnY8pkczWohr3LjdBgCZ9SIYSGT7mXudUnhAMoXLRPmxBeABrmZPBJB40iyLA7GGJir4MLxvTH5oBDAxBlE8ONEIIot1+sDSE9lyAkINv18CFcgULHI+d2NBlepbocDmFVOeBIgEQHHOQUpqTxCKG2QlUEgCX5GoAMHLYKVTLiuQGHChXxOczhVKqaLoVL3Q2b9h1shGGIXq8HAI2ABlCvsyHKyK6srOCtt94aarx1JYjfvXsXly5dwhtvvIGVlZXC9pMm3v93QHs+hgcgy9UQQKGCRvKYhx0gGoBH/w7ALxW+F0Wuh0hinpubq/f1TUnORp2qMsZWq5Xm2wBAt9tNwaPT6SAIAqysrKDf70uA78Oo9o/qLHVrW1MjbsvTdurtr3M7dJ8RU55G2gcBDdnFKFfiloKGNM5GQKOJsKkaIEMBDIBO4s2AIW0zOCHqvty5S0pcYxUq6HkoiKT7JDdDHEn2q2YEdTxSSM6AxR066nQ5CsKqKgIHk9qoyfRRkvQclC6Ja6pQBTDI4VUZcKguBsj5kJ5TrkBFw6l0i/2ZwqnKuhuqqrob+wY2XMKm6lJdCeLCPbCVkS0zsRw2jIpzjuvXr+POnTs4ffp0Lkl2WmADAUkEjwCOfrJ9JgaKYCZ1MXjYSQ9TQ6hKnVLjemxtbeHy5cvY29tDr9fD1tZWqVwPk55WZ2PYMc7Pz0uLPl66dCktxgAAGxsb6Pf7ePz4sTNs/M3f/A1+93d/F2EY4jd+4zfw3e9+V9r/8OFD/PIv/zI+/vhjDAYDfOc738Gv/dqvDfU6vPRq2tUQUr8Cy1SfEq6G3CZzNbLt+YTwbJ9b5an4fPoSt/KY5DyN+DVOKmjUDxllAEMHF0WhVIHBpShyO+T3KWsbpaAgh1CJ/oSDocKHDTyo4yHeItXtGB90qNPjLKyqDuAQr426G9m1jY9XgQNoZVBB+tNVqAqS+yEinwk1fyMCz7kbjGXJ49Kr14ZT5R8D5nCquqS6GzbtC9jgnOPu3bsIggDLy8uNT5zqcDbEysmqe0BVdvHAsgniFB6iKMKFCxcAxBWZdL8iTw1shF0gagNtOUGYh50YKKI+OPpSwnjsaHRTUBlWCwsLOH78OI4fP45er4cf//jH6a/qwvUwrZZdpGlY1K+JnI06V6kPggCzs7M4ePAgDh48iH6/j+3tbfzhH/4h/vqv/xoLCwv4/ve/j2984xs4evSoto8wDPHbv/3b+Lu/+zscP34cp0+fxre+9S289tpraZs//uM/xmuvvYa/+qu/wt27d/HKK6/gl37pl3y1qxGoKVcj3Sa1lcOnoOwrGz4ln0cOn0q3k1Ap8VzN06iyloa+vO2UgIYu/KkkZJgAQ+eAULAIrC5H+e8unQvCeYgWDaEi018KIXGlJupgxBNvG3jwdAKedh7/Y4SOCLSKlbywmzr9HDa0qi7gIK+BhlQVhFOpwMF4kEsYD3hWJleEUwGIP7NcDxhVw6nS16EJp8qujqxh3I06cjemHjZEWdt79+5hYWHBOHG3qepq4GUkjuGc4+rVq9je3ta6B+oxZSaWQRCg3++XHlOv18OZM2dw+PBhPPfcc8ZrURZmxqLdfwsWtMFbbWDQBafwEGQlcFXQSBXGVao+f/SP8WDwP9cyJMYYZmdn8fLLLwPIXA+xWvb6+roxidnWZ12aFmejyRXEZ2Zm8Mwzz+B73/sevv71r+MHP/gBtra28Cu/8iv4zd/8TfzCL/xC7vh3330XL730El588UUAwC/+4i/iL//yLyXYYIxhZ2cHnHM8fvwYGxsbU13RbVJVt6th+tYtu6aGGj5VJDV8SvwaqgufiseZhU+JdhQo4m3VQYOWt60OGnWHTdUBGeUAQ22nAwsKFCpsBBVgQ6dI6ZeiKRPvGQWQ9D7J4MMEHgJSMuhIptZG6MhGlV5j6T7QuRzDAofoR/RbFjjEBN1cFrcIONK1N3iWv9FKnA6kr1pUpJLDqRgZOw2ncr07aHWqIndDF06lXs1hgCPdTtwNm6b2r55a1rbqauBiwl3mV9OqCeL9fh9nzpzBwsIC3n77baeE1zJjq5Kzsbe3h3/+53/Gyy+/jEOHDtXaPzCGiWw0iN0JPgCLBuA8ucVb88Agdi5EdapUYRcsAQ4etMEGXTBl/Y06RV0PkcS8tbWFjz76KF1TwuZ6THrOBue8kZyNuifpptfd7Xbx/PPP4zvf+Q6+853vGI//5JNPcOLEifT58ePH8c4770htfud3fgff+ta3cPToUezs7OAv/uIvaocmr7yaKnWrk21NjayNq6tRbj0NlzyNKqBhK287WtAogAwgFzJFIcPmYtgAwwQXKlhQqAgMsKHL3Qgcp5eR4i4FrE3eGxk2KIhkacgCQPLwIdrlwAMUNjPoSN0QASsm6LCGVtUdVlUdOJILVBo4dBWq1PwNhijtjwKHaf0N0VeRu6F+rUXQJ4ubVGcp3LKaatgQoMEYQ6vVqrRmhjiuDGxUcTYGgwE++eQTvPzyy8awjGHPU7b9/fv3sb29jZ/6qZ/C8vJyYfuqCehN59BI5+QD8CgGDRoSxfqPwVvzmYthgAnWexwDCWvXNmYbHKhJzKJ0q8gnoBWuxCR10nM2OOeNuBB130Omz71rNSrdZ0Ed49/+7d/iK1/5Cv7hH/4BH330EX7+538eX/va16ZqYcxJl7ji43Y1XNfUKAqf0pa51YAGfS7Cp3QJ4fF4mgONZipO6UOmXCEjfh4UQoYrYKhwESjPKVBQkMg5HCUTxFuIC1dI0MFUyAiTMWUgkrlagfScQTheASLiZog2GXiY3I7kpNzidCj5HPrQqmGhQw8c8XjcgAMpPJFhWIADae6FXKFKl79hWvAvRja5HG7sisAYTiXuGJG/4bL2xijcDd26G7a+phY2xASWrgYuqlCVUdWQqDJgc+/ePdy8eRNHjhxxBo0qY3OFAc45fvKTn+Czzz7DwYMHnUCjilwnh3VNdn/qpf8dHKTy06ALJoAjaIOFclgVdTOkUCoALNzDevRvEeE/DD2uMlpcXMTi4qLkety7dw9XrlzB/Pw8NjY2pgI2Jj1nQ/Q5TOnb48eP48aNG+nzmzdv5j7f3//+9/Hd734XjDG89NJLeOGFF/Dhhx/iq1/96vAvwKtxuZS6LbumhtxPvvqUkJqnUQQaUtiUAA5NQrgONHSjlbZbHA35FWajr64C0CgJGbpQKaZxPRhaRsAwwYWAB8nh0GwDhgulamEGkVo5LAUI4miw7B6g+yh8mMADDHKoFUvuAQ4tdIi2RdCRD62qK5cjDxzZLjNwAIBYaVwN/pHgI5lMixyZiIe5/A2glW6n+Ru6Bf/i5HEONX+Dk3dEd4fwxN3Q/XznsvaG7phxuBtTCxuAPJkd1tkoI9fcCM45rl27hrt37+KFF14oDTV1rpshFIYh3n//fbTbbbz++uu4du2ac/9VwGykCeVRCEQhGOK8C06rSw26cTncKO9osGgQg0grTihn/SdZfzWo6uRb53psbW3h008/Rb/fR6/Xy7keoxyfSU3nV9Ql0zobu7u7WF9fLzz+9OnTuHz5Mn7yk5/g2LFj+PM//3P82Z/9mdTm5MmT+Pu//3t87Wtfw2effYaLFy+mOR5e9YnevvQPaVOuhml/1o9bUrgqW/Up+niYPI14vPIrUStPSb+QjzR0yjU3gwBEQU6GDTKoi0FDpKiDQdurIKGFDV2IlSGi3RStn181XHZP4jbJFJXrwqeSSTWT74cWC9J7QuRuiKRzrrodIrehADrE202hI5dELrkcdeZylA+p4hJUJZ/dZAi59UtYK3VDdPkbuhXG1fyN+OxZ8riuOlULovpVPcniVKN0N2yaWthQJ0dVJsJVj3M5hk7qT506hTt37uDJkyeNjq0ooXxvbw9nzpzBs88+i5MnT+LJkyeNJny7wFLZiltWRQOwAcDbc0DQAgv3gHAPAMBbc1koVdI2N5b+kzjPI2iDDfbABnvDj0n0XcPrE65Hu91Gr9fD8vKy5HqIdT3KVriqeyLfFGyMyi3pdrtOK4i322380R/9Eb7xjW8gDEP8+q//Ol5//XX8yZ/8CQDg29/+Nv7gD/4Av/qrv4ovfelL4Jzje9/7Hg4ePFjr6/BqRmUW8APsrkauD3Cjq6GrPkXL3NLnpjyNeHzmPA2xX1fiVgUN+RViYkFDdTNs4VI2yKCwQB0MChimcKpAGjepVMXl70MTfGSKp2YRubYtQLoHxPvYYu20HQUQnkx9I4RxUjOL7w+G+DVn+7PwogxGIEEHGNK8DhU6pNCqBC6KgQPZvuRqjQI44uaRFTjEcFgCKKb8DSYBhD5/Q7zPohyu6m7ExzLJ3aDhVC0HDFDdjfiKTJ67MbWwoWoYZ6PshLvomE6ng7Nnz+LYsWNpAmlTUOPa/tGjR3jvvffwhS98If2lvKxzUrY61ihL5c5c/xbCxbUEIubABntSyFTQfxJDSDSI8zpYO0sCj0IgaKWP2WAvztsIWmh/8q8xOPafhhpbE6VqTa7HxYsX0e/3tbketv4mPYxKvOY6NWwYFQB885vfxDe/+U1p27e//e308dGjR/GDH/xguIF6OauJP6A2V0PkasjT7WJXI3eO1K+gcEGSwpXwqfgY+3oaYnu5PA2kx2VQEWIcoOESNmVzM1wgQw2VKgIME1yk/XJ5uwoVZVcSF994Wd4MBZAMMhij71X2C32cyE0eE8eDhlrF902S+I1WGmJFoUOEGFHoAMs+H6rLUT6sqnngiFu1JOCQe3GrUAW0wHlkXX9DZG7QcKqAi1yOGL5iFyT2OdXSuOJVubobEYCAy7kbQkXuxjByLYM71bBBJ7NVYaPqAn2mY7a3t/HBBx/gtddek0IxqpSNrWtyf/v2bVy9ehVf+cpXsLS0VNjeprLjcWlTx2Sct2fBBr34394ToD2XOhO8neVxCMBg4V4GGEAMGWrexqB8DpB2bA1M5lUJ1+PEiRPaXA8BJvPz89r+Jj2MyhTy1ESfnU7HydnwmmwNE0JV1tUQ+3RuR66dxtVIt0sOh7nMbcTINh6S/XL4VNbGZS0NkhA+MtBwz88w52bkISN7boYMnYuRQgXyEBKPgvRFwEJ2NBTgKO1qyIqUu4gu5NiCAMOsrdie3iNMgdIEPluYie8X4niouR026BCvVVSvopWrwGHI5TCFVVHgyFqXUzXgQDIBt5XEpYv8MZKnAa7P3wCyxf0AQAcfAVrE0RBXgWdX1dHdiH/cYDnAKONuDBNK5aqphg2qKtAAVM/ZUMGBc44bN27g008/xdtvv52b1FVxNoZZpE+M6aOPPsLDhw9x+vRpzMzMWNuX7d9Fov3u7i7u37+Pzc3NZtYZiML4wzLoAUELPHEnAEjwIdwOFg1yoVSst5u5HAI0asrbqFNFcGByPT788EP0+31pXQ8BtHWXvm0i5KmJimbDOhtek6NRuRopDGhcjXQ7kFag0rkaavhUNhk0J4WrZW7V6lPxufJ5GvnXVLCWhgQa4qCmQUOBDCCZHFYLmaKQoSZ9qy6GycFQASPgGVQECGCCiszt0LsbAS93o9KFHAEg4hk4ABmMRCyBDHEvcQGqbem+UV2P1PFgGbDm3Q6STC7gArRSmSa0irgcAJLQqkQMkEvk1pXH4QIc8b3tChzieTw5D+LPVM7tiMPVRDhVfF/BWA5XlyweQV57I0heS7G7kb161d3QLfQ3Lndj38BGlXAooJ7wJrH6Nuccp06d0oZ7lHUpqoyNtg/DEO+99x7m5+fx1ltvaSdqTYdFifZioru+vo4bN27kJsN1hhmxKARPHAvW2wWfXcweC7ejPUegIoESAh5s0Ev7qEPjXqFbdT3u37+Pu3fvpq5HEAS1lmJtwtloopyu6b7zzsb0q0lXQ9dGt4CfLnxKuBqAkpuRTt3k8Km4nbn6lBo+FY/FXuZWet26RftAQYPCx4hAw5Cb4RIyVQUyXACDAgSFCz10MOm59NrSV+Z2h0bgaJFLHL8HIsFYQIaAX8UBI/ARJG6DCqwUPMR9wxDk3A4BHZz+ck+hgySRg0zahcsBZKFVaS5HamLYXI4mgAPJtjCFVOEOMWnskPaZwqnis8jlcKVcDgZpdXGaLG5b7C9LEKePM+BI8SwJp1LdDd1Cf6pG6W7sK9gYR85Gt9vF2bNnceTIEZw8edI4CRxFzoaY3He7XZw5cyZdOM7WvonSurT9rVu3cOfOnRR4giDA3t4etra2cPXqVTx+/BhXrlzBoUOHsL6+XmlCOXfx5xDNzseORnsWrNcBC1rgQQustxsDSHs2cTYSwAAywIgGYImDwZKKVgFxNuYu/hz2Xvn70uNqSsPAS6vVwsGDB3Hw4EFwzrG7u4srV67g008/xWeffYb19XVsbm5ibW2t8uS+qQTxunM2TOp2u1K4odfka9Suhtiv+/akroa239yUPwOP+LEMF2Jb1lYTJqWBCbc8DWUkuspT0uueDNAoCpnShUsVQQYFjHgEGUwECKTtMnQwBMrrCJR/xXH5K6G/cbVhetI9wONfxxMYERAS3zNxEFjEs/sIiJ0PloBHxGOAEOFWAjxUt6MIOkSoD52p5kOrYqiN+4NjtaoGgUPaJpfETa8ufV10GAQ4XMKpIsjVqWJHI4YXXTgVvV/ECE0IINbdUPcKd0O30F/T7oZNUw0b48zZiKIIDx48wPvvvy8lXRcdU0ZVErj39vbwwx/+MJczUkf/ZdpzztPqW6dOnQJjLF0HZW5uDkePHsXRo0fxox/9CBsbG+kK2vPz8zh48CA2NzcxNzdnO0V2LjGxtYQ8pfkctA15TB2RdF9N7sakJmAzxrC0tIS1tTU8++yz2NzcxP3793Hnzh1cvnwZCwsL2NjYMOZ6ND0+qiZyNkza3d31YVRTrElwNYByrkbaF6OP5aRwMSnMxl0cPqVzNNSEcDV8Kjl7srN8tIBdbqChJoHrwqZUNyPuKwONgM1oS9e2MKN1Mlp8RutiUAdDBQwKFxlg5EPCZOgod53EOyDgIn5MwvkETCSTSgEfEVgGHoiS5ORIgg4AKXiA9ePJsQIdQBYOFCS/5kcIEPG+BBwZZGShVZnLgXRbPnm8KeAwyFKhCsTVSBPikbk/2dy/OJwKqWtCq1MJRyMLu4sYR5D+sBF/U7i4G5QWxuVulNFUwwZV1dK3VZyNIAjw+PFjfPDBB3jrrbecJiajcDbu3LmDR48e4Wd+5mecwkCago0wDHHu3DkwxvDqq69arzFjDOvr6zh8+DCAeKJ37949XLhwAWEYppPd1dVV4wSWRRFYr4todj4NgWKDXubStmfjBza4SLaxXidtz3qdwtc6DjUFLzrXQ831cHE9pqX0rak/H0bl5eJqaI8D0gpU+v3yPpoULkJc6K/RcZssh8LkamT9y+FT8mtSF/AzhU/JoFGfqzEMaLiFTbm4GS02k3MydC5GHjoywKDOhQod2asjTodaqt9xShc7GOS5yANKpoXxL+dB2o4CbAsBKUQQgwdLoCPuWwaPgAcS1AqnAxySy8F5RCanIp8jWxhQmrES4IjfP6TAEcNFq0HgKAqnUhLGIYdTiXdRfGZoaFUkroEhnEq32J9AjVbyjCaL05XFXd2NKB6c1t1IdjXubpR5V/YNbFSdiLgu0CcURRGuXLmCXq+Hr3/9686hHU3CBuccly9fxqNHj7C2tuY8UWoiZ0OEcImSv+rxRX0uLi7i5MmTOHnyJAaDAba3t3Hr1i18+OGHWFlZSdeSkJLdExeCRWGc2N2elVwJ1usIhNRPAAAgAElEQVSAzy7E1aVoiVsFPoSC7uMMUET/Q2hSnQ0hHRwI12NpaQknT55Mcz2o6yHyblQHqgkwaCKJ3STXdTa8JkRD3Gplpy+61cJpqVupLfSuRnzeLCk8bqtPClfDqah7ESGErvpUPM7i8CnzCuEYL2hoqk3ZksAFPMT7MpgwhUy10C6EDBNgiD1i/CLAS4UKMWEUr5rCRrlvMZaDUwDkXUnuGQIhUQIf1PmIJPCI7zUBHip0CKeDCSeNwRpaFSYDEgsDhujngEOXPJ5PHB8XcMSQrVthvCicyrS6uLhLMteAhk9l7ga4nCxuKoWrczfozJOn54rdDbDsPiu7psZQ7oblwH0DG1VVBgJ6vR7OnDmDzc1NLC4uloohbyqMajAY4Ny5c1heXsaXvvQlnDt3rtQ56oQNsZbHq6++io2NDdy9e7ewf9uktN1u4/Dhwzh8+DA459jZ2cG9e/dw48YNBEGAzc1NvPLwfwCfyYf4CFeCzy5kz4OWBA7CAQGQ2xf0uuBBANbrAkEL82e+iu5X3rW+llFpHPBicj0uXLiAwWAguR5NJXOPauHBXq+Xq9zmNR0a5lORlrVVXI18eJStj9gnoN97ulK3NCk8l6thWVPDdfG+eJzFoCHCp5pNCC8CDff8DBc3I2Dt0pDR5u1CwFDhgoIFAwWN5KUpz1V3o+hezcFrMskU7wbnmbsRT37llemzey6DDxN4iPyOARtooKMFzkKEGGihA4inxsIVaLEZFCePZy8wy+OIexo9cAA0f8Nlwb8MoPLJ41l+C1LgENWpBGqkr4ghXXtDLYUb+x0MaY/JeUQpXK5UptK+csW9oCudU3djmEX+XN+RqYaNOiZcrrkeDx8+xPnz5/H5z38em5ubuHPnTqnzNOFsdDodnDlzBs899xyOHj2KwWBQOuG7jGywcefOHVy5ckVay8M17MqlDWMMq6urWF1dxYsvvpgmmSOKwPpd8Jl5sF7icCSgAMSQwaIoTiBXnAwGZJWrBj3ikERAFCLod8FZABb2gSEmupPubJTtT3U9BoOB5HoEQYC5uTns7e05592MWjbYEIUMvPa3ykxZdJWmVFfDZQE/GS70K4XH54uy/wh8ZOPJQlqsq4Rbci60eRo50JCPKK/yoOGSnyFAI2By/oUpL6OFGQkyWmjnXIw2bzkBBoULChYUKjJHQ1wF4myU/OpO7zuWrb4dTzxJWVQAUfr3lqVQS121IvAYsDCFCXHfhRhI0BGyPtR8DkgTbLG9r00ezwFHsk0GDnFcU8AhtuSBI94RaRf8S4/jEeRyuFn3EY+Po8ni8bniTzYja2/QcKqilcVpaFX6nlsW+tO7Gxz6gCuXqzW8pho26pALBNy6dQvXr1+XJtJNl7EVx5hA6P79+7hw4QJef/11HDhwAID75L6qdP1zznH9+nXcvXsXp06dwuzsrOFoc59VJJLMcTsCgiAFDlNit6gylToYQQts0AcCUYUqeW9M79FgoN8+BjWxIvkw8NJut3Ho0CEcOnQInHN8/PHHePDgQZp3I9b1GKbCVd0Kw1DrTHLOG/0MeTWncbsa2n4VV4Nul9vJrka6nSSFm9bUSMdGQIPu07kaxjwNzSsQrcqrKmjo8zMC1ta6GS02U5iX0ebtFCzoY+FktNDSQkbLABjUtRBwQcFCPM5ghFyJqrABgCexRxHL9nHpcRxmwwC0kr/XcYBUBh4hj5LfzDNEiMDBOEOIUMrtCBBgwAap0wGWhBwZ8jnEOGIITHI5IMo1J39DCXAA8cRdBg5SGrcR4CCJ4fKVTlroy+Fmjkb22mVHQz5OXXujJQCFQSqFq7obdDQpLABad8PpVU+Iu7HvYKPsxMnmbHDOcfHiRXQ6HZw+fXqoxeiqwsZAM8m9efMmbt68mVs8sMpaHmWkwkYURfjwww8RhiHefvttbdx/Xc6GVVECHGE/cyJE3C+PYtdj0M/a0n+lfhLwCPvAoA+0Z8D6e2YAcdS419koUp0hSowxzMzMYHNzE8ePH09dj88++6ww12OUKkpib2IBQa/JUVlXg0q4GrQvNSlc52qIvjL3otjVENvTqkCWNTVy58qFT6kNyuRplFW10Kn06Iqg0cKM1s1ooQ2Rk5E9FmiSoUf8WO9itAyAocIFY3lHg07iyn7TRspEEcjeo3hhySRRnGXwkbptyTshpumMAwFr5dyOMPU5WAojAjrAkeQMDdDmbYh8jhD9+PrzOE8jSN52hgAh76cz0IDRCa4eOOJDNaVxaweO9ErCNX9DKF05PTkly+3PqlO1WAC69kYLGVzQUrhq4rhpob+8K4O09G36inLPIbkb8XHjczf2FWyICX2ZXApTpaRer4dz585hfX0dr7zyytCTjyrHq+tgCPjpdrs4ffp07nWO0tkYDAY4c+YMNjY28MILLzglf+sm3cOMefG/fh7RcrIYXRTFbkXYzzkbrN8Fbykx+Mkq4UzdpiaDC5AZ9LH4Xz+P3X9xqdJY61QTCeJN9ae6Hk+ePMH29rbkeohqY6N0PUZZStdrspUrZavZLlYLp7KVu82Ok3M1AJGzIUJfuAITdlcjOw91LooX7xOvzFrmFibQGOZvSjFoCJlyNIpAo4UZ6HIzTG5Gmwu8YAI7kscsBxltxtIQKR1g6OAiIBM88bVKYaPsNy29+pkDlzkcIpxP7OecZdvTf2PHQ4RaDXj8emJHg8cORuJ0BGDx48QVEb+8m1wOMQEXuRwh66OFmVLAEbsHIiwrKAEcZUWn0ApwkG1x00haXVzFRJ27kXc+SBiVxt2Izxhf28zpCJJVwOP3lNbMEu6GgIoIMC7yR6GC86Qto23yHs8w7kaRpho21AmScCnKJm6rzsbOzg7ee+89vPTSS2lJ1nGIuiH9fh/nzp3D2toavvzlL4/ll1cBBiJX5IUXXsCRI0es7W3PhxVvzyShUAF4ewbo7QGJ+8T6ycJ97QQyKEQkoJE+Jo4GF3/8ogisuxsnkXc7ab+VxrnPcjZc+tN9BhljWF5exvLyspTrcfv2bVy6dAmLi4tpqeOmXQ/TjxJNVNLyal51vGMuv3moroaxL+RDpXSuRtavKDla3tXIn9th8T4o4VPG3I5hwqdMVafyjoYraNC1Myho0LApsV6Gzs0QeRkUMmi4VBY2hRQyWowZAUPdBojt+cfiue6xTrq1XWjIFCB+4Y6vKOcyfJjAI0T2t1yEWIUJdITJxDtIfm2PoSOI8zmIy5E+TmBAmmADKXCIPA66JocNOEBeZwYcyb2jBY4q7obhN3tDOVzyLmiTxVVXjoKFq7shKlXJZXHN7kaUQGGRdO6GTnWVwbVpqmFDVR1J2Ldv38bVq1fxxhtvYHl5ue4hlpIIi3ry5AnOnj2LF1980Tq5b1piYb4f/ehHUq6ITcK1MK6RMYwbE4VAFMRgEEX/P3vvHitHktYL/iIyq3z8PMf28fvV7fEM3e6324YeBiH+2GWgGQYWtLvDahfB7IgdMezMcFezIIQQWiEEEroSYpBGcK+EVndbs1ru5Y6EYHRnGYG0f9A9j7bbj+72u9tud7d9jl/H51FVGRH7R8QX8UVkZr1O1fGjz2cdV1VWZlZWVlZW/PL3+Cz4aLsu4XTVut0Cmms842GE9Xd4kKFY7LHWEKkUrO1AS1FYQPMA1IMONvrts1HFelDCFWc9Nm7cOLJt67WNq7G3j35VXSlOi8tVqubpZQwHhmc1AvBIpFIIpvBurEbYxvrmfSsjn6oCGiHetgpoSMdWdDOC87Qpkk3xpKkcuWczuGSKfBk5CHAEJsODDcZiZAmYyGQd4ODMhr3PHwPlx0imp6WT8bDh05PHPHY5HJPCX80m8KG0BR6ZsQN2ZQLbYVkM466cO8O4Ax0FlPdzSGH7aSgUbhBLvoY4JhdA5OOw2xyM41I4UCw0jJHQ6EQMRyypAgBdATjCUTZOOVXPZn/ucR27QWbxKnYDBh7YDcNu9DKKp5IpPn2lm/w9UmBjmC7itIwxBufPn8fdu3dx7NixByL6UgiB+fl5HD9+HE8//TQmJyfv6/bcuHEDc3Nz+NSnPtVXI8Nxy7oAeG8FAM9y+HIgUiwtwDTXAFpB0MkvnZfNX+fR8L6PAetBBwcPgiyLsx4HDhyIWI+3334brVYL77//PrZs2TIS1qNORrWwsDBQt/TVuv81Sh6q9vo+G7h1WzaNH4W7X8dq8OQfum+nhwZ+dh3VncIBlORTXZv3jVU+FV3D7wk00tSpKqCRibzSn0FpU5loVLIZHmgk5m+CJQICuZAOHFiQkTOZFIEOAhTpY5qPgws+DTQddLEtTKvbY7zSPV8OMBAekBC7Qbcl34ZjOLIMUCYwHpkAlJs/FwKFMR50GMD6Hd0gXEGBejwQ6LCMh4UkyhQRywEDf3zSwFyZDqRooCqpSqIRAQ7aCd0Bx3L8G8uXUwXZV1hdABM6SaqyZnHObpT9GtqBjzA9ZTfscsJt4YDsRg17kUqpllPdtuYjDzZIRvX6669jw4YNOHLkSN8DpXEYf3nNzMzg1q1b+OQnP3lfB0DGGFy8eBE3b97Epk2b+gIaQH9gYzmARBSFBQztFsxE2CbPRgBB/kRGe2mZEEgZWBDAdxT3gKLNonDdNCMl1v3DHiy8/N5Q2zuqul9MRL81CsM5Zz06nQ6OHz+OdruN06dPQ2u9bK9HnYxqYWFhldn4CBY/BaUm3NK8NaxG5XzJtJTVCNNjVsMuz2JtEV8lttuc+Dg829GleR/GJZ+KgUaY3A1oVKRO9QAa3J+RiYY3gXM2g0BHKpki83cmZInJIKmUf8xYjKwGYKTT7bs0ESBB9BzbLaK//UveDIgwrLbHp2FAAvaqNmKAQUCCA4/MCD9dGTtY1cLeF+5avRbCPZZQMLCG5dybyAHrE6BBtoYusRwQgDIdDwq5j4OSqlQCOITJvKQKqEqpstMJcIS9OgrAwSfXy6nS3htV8bghxSo8R3KqCIREAIMASJBRcXaDgwqCRrTtg7IbdhvL7MYopFTd6qEGG3WejUFqaWkJd+/exbPPPjuQRGkYM3q/RSlPCwsL2L59+30FGlprnDp1Cnme45lnnsHJkyf7XnacQGzdfzkANMmPoS2YkDLcUrXbQLMZOoSntwiMiO1AnizPSrStz+P06dM+UakfBuxBZyIeBvDSaDRw4MABz3rcvHkT77//Pt5++22sX7/efx79Ri/XMRtLS0t9g+nVeviKD0X68V70M09pGSdFCa8Z4kXt82VWI56uEiDSH6tB81RVmdVAF/nU8oGGSKaV9e9uySGABvkzONCgvhncm0E2cGI2MsdmxAAjyKVyUQ8y6H4JbNSAC8uCBAmMfa/0fLx/0zOvSR5pBzg8q+EHh6LGIA4njSozHsptnzaANMIvK7VA4Z5T7uq6cp+chEBh6Jp6uKruQYKXC9njpzAFIBqOdSn7OMg4ngER4CBwwQFHvJ+yADgAjCahijagXk5lZ6vuvTEsu2Hfhe6L3ejVVXyQGFy7XH9+oVFLqR5qsJHWoJ4NakK2du3agb0Q4wIbdBV369at2L17N65evTrS9Q9S1DF9x44dOHDgADqdzsAsxNiYjeRzFkXHNvKr6LGBdjs2eGttHxcFhHTr4RHD7r7gIGapBeQZkOfYv38/ZmZm8MYbb0AIgS1btmB6ehrr169fEXPxg9ZnY9zrS8FL2lmevB6nTp2C1tqbzDdt2lS7HavMxmpRpb01gJjVSLXv5eWDVyMCM6iWU9n7MavhwUMFq2HnibXvVaxGXafwbj016tib4ao+eYoec1aj1LCvAmhIkQ0ENChpKoNEDgIcdvAnYZkMLpkKjEZ8PwUZKYshYRwwqQYXFoCYCnYj7O9ep0h/mhcuFQqcdePAguaPwYfUFnRwdoMACAcdyggICWsQN3a/2OettIq2XML26CCWgzakEACQA6YAhP2dJcBB8bgccEhkXtrDAYcfyDPAQaZxK2NibIZ7PJqEqm7VX+8NIH4PdeyGl1E5QALY7zzvu8HZDd5VnMunON9ij4XAbqQHliHAKmIpFZeNkZRqnOzGIwU2+mU2uCzo2LFj+P73vz/Uaw1qRqco27qrvvfu3cMbb7zhU7Dm5uYGfo1RFW3Lxz/+cWzbtg3A4MCgn+jbZdVSywKBZsOCgmbTSqjY/vWmbtqP9BwHF+0WS61K9reTXNllFKA1Nm7ciI0bN+Lxxx9Hu93G7OwsLl++jIWFBUxOTmLr1q3YvHmzH8w+DIP5B5nZ6NXtO/V63Lx5E9euXcNbb71Vy3porSv75iwuLq4yGx/hqkoAqpqHfuDrRUjG33JWA0DUV4PABT3mt/Z+ABUEQOLXqemhUdqgalaDvSu/xsGq5rzRo2lfXepUCjSkyHsCjdyQhCqLTOCZE1yRNyMXAWykkqn4flkqlbIYGQMYKbhIvRqB2YiZjn53reef3IDRyvbgQUjszbDgo+zRiNkOz3q4AajSFlxIY/x9Lq2SAApjP1dhaHDvNtOZx+1gVvvtrgMc/n25wbpkDEC3lKq6HhzVO2487Ebae6O0pqQbOWc3QgvF6mQqDzJYMpUWBtJfDLHsRuaBTzXnoO2GMClVeTv59HHG3fL6yIGNoihw8uRJrF27trIRXb/Vrbt3t2XqBk43btzA2bNn8eyzz/r0nWHStYapdPA6OzuLt956K9oWYPlgo59eHH1XoSzTAADtDpBnVuaUGMRFuwWT5wjdw9n+5HG4RSd0EQcsGKHB6BLzgBTxZ95sNrFr1y7s2rULWmvcuXMHs7OzuHTpEprNJrZu3bqsZpB19aA29QPuL3hJWY979+5Vsh5FUVRKrlbBxqNbEevQ5ymn/zjcYAz3aVQlQUxsDLfzsLhbQSGkZVbDy6QYq6GjacthNUbxG8NYjZqI277ibbtIp9L+GQQ0Un+Gz6ZKvBmczeCSKbpPICOXKathKgFGJmNwIdjztEekqJJTDaoO4Fe0HYNhYhBCvqEAPmz6VOaAh4YFHpljMuytG2ZrOGACSG1ZDi6t8p9lkloljd1/yrFuFJHLx8B1/TiIBUhN4wIBrPQGHHDghyzto2A3EsDB9vwg7IY2msmnACCDMdqmgSGWWFEylTbavwNKpiIpFZdPcaaDpFThfp1gMVS/7MWopVQPNdhIBzS9AMDCwgJOnDiB/fv3Y8+ePct67VHE7AL2BPHOO+/g+vXrOHbsWDQAWok0J3oN2pfUnfzo0aOl1J/lgo1R1br/uA1Y07AD/6a03wgOPpZawETYdlEUMHleSpMybgBLzwOIwcjCYvCFAECrBWQZ1v7f01j872dK2yWlxObNm7F582YAduA6OzuLK1euoNWygGV6enrZDewedKZkHOBlmPUJITwL9dhjj6HT6eDWrVu4du0aZmZmsH79emitI9ZjEBnVt7/9bXzlK1+BUgpf+MIX8Lu/+7ulef75n/8ZX/3qV9HpdDA9PY1/+Zd/Gfh9rNb4qpeEip6LehcgsBq9jOHEaqTG8NSrkbIaPua2htWoirqtf5PVUbcVM/ZeV1ReJOQe8XNItSG8G9CgeNs6oMETp1IjeJVsqiHofsxmNBKQQcAi54BDWPDAAUdWwV5kIoAPye7TLRA8GiJ5DNQDD28MB4JnI3msQUDCMABi7ytjAUQKPCzQMFAGyA1QeAbEgg4hnbTJgY4MBh3NGBFYiRUcy2GPJbvXCzCgYeyAuRAFYKzbACI8V2UaBzoAGnbw3RfDQXsBFXKqYdmNdHJgM+o6i5cWYVG4XiplVCW7Yd8B+TLK7IYFX3EMLvz8xKCJ5PWrjeJeShW965WTUj3UYCOtbtKmmZkZvP322yOLkB0F2NBa48yZMwCAo0ePlgZUw7xGCh762SZjDIwxOHv2LBYWFiq7k/N1j7KGWafRgFDKnt1bLYBAkdaBeSA2otkA9eGIzN9SesN3ej+SWJFUq+OASodf6+lea9euxd69e7F27VrcvHkTk5OTPsp1w4YNA5nMo/f/gIONlZRRDVKNRsOzHuTVarVanvX413/9VywuLvYVrauUwpe+9CV85zvfwd69e3Hs2DF89rOfxeHDh/08t2/fxm/+5m/i29/+Nvbv34/r168v+z2s1nDVzxmmHwlV9XJlVsO+Zny/jtUI84S+Gn7dNaxGWKYHqzFQ1O0gVQM0CFQkvTTCUl06g/cAGlX9Mxomj9KmuAmc2IzUAJ65afQn2f1cBC9G7sBDxtgNYjAyBjAyYRjgCMBCsulAvYwqNYxrGk0nn5BJQYYRMH4Qafx0ZYDMDU6V67dBgIIYjdwIFMaCCaXt/hEyyKush8OCE8jYQC6NsF3HXZqVMBYWw33ywg1qgQK5yf19mEYEOIDYNG6lc+GKOgcc/Jgv9eAQwOga/tEe7j8Ktx/vRjd2g/puBBajP3aD7qfshuzzt3xQKdVy2Y1HDmzQFWQqYwwuX76MGzduVF6t5/MNMuAaxrPBwQOZr7dv344DBw5UvvawYGMQ47oQAp1OB2+++SbWr1+P559/vnY/DNM7oR+D+KAVXVjIsgAiNGIZFWDBQrMRDN4kjypqQANNp9GGNkCnHX0TRT7YNlNHbd7AjuQ9b7zxBgBg69atfZvMxxG5/FECL7TODRs2YGpqyrMe586dwyuvvIKzZ8/irbfews/+7M/i53/+5ysvTrz22ms4dOgQDh48CAD43Oc+h29961sR2HjllVfwS7/0S9i/fz8AYPv27SN9D6s1XJV7FoSqMoZ3XVfNtKomfvaxAxqJV4Mbw+20GFQMzWqASU6AWvAx2KBMJI840KiYm7Ea9Ji6XpQ6g1eYwYXPlYqBhjWDV6dNcaCRsVsumUqBBrEXHGRIDjZgp9PzljUxjO0I4CJlNoaVUnGAQY9TcJGCDxtva6db9sIey9RXwwMKY5cjc7g0lsGgefyfjg3k5WEnMRw2rUrDIHcxtiIabBfQyCCgK03jAMA7jZOkysbNSn/FvfK4H0nDP/6+YnARsRs9hUr17EYmAgjh3g2AJ1HFxnEyitutCsdRfZ9zdN1CDfRtFB+ln+OhBhu9om+VUjh9+jTyPK9kDqiGSZaiQf2g26u1xtzcHE6ePBmZr7tt16CvMQhTYIzB66+/jn379mHv3r0DvdaotmUoZoMedAqgkcMbuYnd4PKntFkf77lRKIB+jFMTeVptVa9AGKBSeU+73cbNmze9yXzTpk2Ynp6OTOa8xt3fZbn1oDIb6Tr5vm00GviVX/kV3L17Fxs2bMBLL72Ef/zHf8S1a9cqwcZ7772Hffv2+cd79+7Fq6++Gs1z9uxZdDod/NRP/RTm5ubwla98Bb/6q7860vexWqOvlNXoR0JFrIapABZ0nxvDARpwJPOkzEVFt3Bey2M1llvsO9mjn0ZVxK1nNEQG3hk8NYMHX0YMNEg6VQc0cgcuRA3QSNkMDirIj5EnzIYFIYHFyCoARgo67F4xfnCXMhky+Tw04nM7j76lfhopyNDCRNMkmy6om7iTQUkgxNxqu38s0LAJVtaHkXzMGggD96rODdIfbzkNdQ1PqooWj0zj5OGwi7gBtwAMpGMPZH9yqtr+G8PXsOwGT6HiyVSB6Qj+D+2eyzygqIrENYDR0TzcKB7Svej4qJdScfCwUuZw4CEHG2lxz8bi4iJOnDiBPXv2RIOCqiKWYhCwMWwDwdnZWbz33nt49tlnsWHDhp7zDzoQHwSgzM3N4e7du3jmmWcGjv7tp/oZEA87aDZLCoL8Gp3CMhzEQAhp5VXaAGuazkCeW2BBg1atAagysNA6gA5aL73ekOPdXuCg2Wxi586d2LlzZ8lk3mg0MD09ja1bt3rj8irYGN86FxcXsWPHDjz//PN4/vnna5ev+l6mn0lRFPjBD36Af/qnf8Li4iI++clP4qWXXsInPvGJ5b+B1eq7hhlaD3LarZo1RNzGAIRLqKjIGB4vHzfxS+VWqfm7ftvqGviNmNUAUBYI2Wl1EbcENEhCxTuD89Qp6gguQfdjj0Y3oFElm8plmc2QAmgIUwIZxGQQqMgZixFNiwAHpVZxoOHuk8yqz9O3Z9884BAIMbgOREBEQKMwIrAbRiAXBoURDoTYAbpwbAeN46UDEynLIQ28l0OYAEqUBx/xZ00MR3gDFnAY9xkad7WeUqroc7azais/okE8iB2Rfl0EOMpAIoCLB4HdiOVTTFLlwYJyU1nDQGcUlyZ4ObiUys4TzOFVaVSDfJOH8WYsR0r1SIENAg03b97Em2++icOHD3uzbrcikDKIdn5Q1oH6AczPz+Po0aN9NR8blj3pB6DcuHED586dw+TkJKampgZ6jUFq1MzGmn+3A1hr7MWStoaYcF/WTlEN0TmrwYFEympQSQEwEGkWO2XZVNtg7X+YxuL/WDaJL7fqTOZnz55Fu93G5s2b0W63xx4csJx6GGRUdU39+k2j2rt3L65cueIfX716Fbt37y7NQ9K49evX4yd/8idx4sSJVbBxH6vEWtRM589RcVaDni8374slVH5drGN4nTE87RQeNfFLEqj8a/boFp5WmdUY9jySshrk3UhZDcRAg8unkuQp7tso9dFAtRk8g0BDyCjWlrMYDSEiE3hDVrMZdNsNZND9amYjAAzbg8MNfEVgLoSTXNl90qeMKgIWJHURHoQoLWETqIRnPghoZD6FKkwT/r6VV5GHI3g0yiyHSEgCCeG0WPadCATGRNQADpJRZYj7cEDA+zVIQkdN/ygSN02oMqjqLh7SqZbPbsRD6lp2g55Puop7NoaWYMlUGtIbxe3aWGdxhBhcgKJvg5SKjOJ2ORNJqao6imf+9Q2y5Pe4/C64VyZ+blTsx0MPNvjgWkqJO3fu4O7du3jxxRf77rw9qmSpuiI5l1IKTz75ZN9djocZsPWzXe+88w4+/PBDHD16FKdPnx5bvO44PBuimWxroaNvgmUgFNBkICTLYKNvYyBRWfQ8G32YJQ3kAmbJTZOAafW/3csZfAjnR+kAACAASURBVJPJfO/evVBK4datW/jggw9w/PjxoTpnr0Q9LMxGFZO5uLjYVxrVsWPHcO7cOVy6dAl79uzBN7/5TbzyyivRPL/wC7+A3/qt30JRFGi323j11Vfx27/92yN7D49qCSH2Afg/AeyE/e37K2PMn4/yNapOS1XyIi6hipcvS6ii5bxUKjaGl0zijNUgX0a/rEavbuH9sRqDFJ3DElO4f7ZGPsWBhpNPVSVPZWhUAg2STzVMjrSHRh3QyCXdBm9GIwEXBCYyGcBGw8fcGu/HyNifTEEHAxcELAhUCJgSk8H9G1S9ZFTep4GY6TAQ0FJ7tsOYGHwoB1CI4eCgI2Ogg5iO4NFw7gvOcgigo+E9HdAEQqqudZcBhzeNs9k54KBdUJVQRXKqKv9GpZwKnN0YjVnc7nxiN9wQn167gtHz/TZq2A0yihO7QX4Ozm5wc3jcddzCOi6lAghklKVUEnShpFpKZbfLlL7Po06leujBBpXWGpcuXUKr1cJP/MRPrIgkqp9BeqvVwvHjx7Fr164VGRB2G+BrrfHWW2+hKArvYRlnvO5YPBsaMFpAuCsrBgaQ7oJGYbzUycusgMB6+DaqDnQIGTMi2thfJwIwNZE0piPg27auYGVZhunpaaxbtw7PPPMMWq0WZmZmcOrUKRhjPPDYsGHDfZVZPezMRj9gI89zfP3rX8enP/1pKKXw+c9/Hk899RS+8Y1vAAC++MUv4sknn8TP/MzP4Nlnn4WUEl/4whfw9NNPj/R9PKJVAPjfjDE/FEJsBPADIcR3jDFnBl1RP2eWNIVqWAkVsRpcQgXErIadHv6F9RDDUWY16PmU1bDT6/tqhJkC8Knf+l5V831O0qdCBbmUXdpduRZMJpUkT0lhjeBVQCM3me+hQSIsAhoNKUtG8AAsYtlUwwGLKsmUfa4aZGRSO0bDMhi50BZwSAY2HLgghoMYD8CyGqmUiqZXVWX0bYndYIyGEVBGIhNWjKS0cIlT0iVTWZChtLS3ztfBQUdHO3bCsRyZATqO5aCRcSqrAkQiuxJOPRADDg0N40zjKeAwQsKIzINn3mWcjhOFTmAMquRUQpbSqaqP4WHkVGwwXtHYr6rvRgpAiN0QDlik7AY3itP+slscpFTavU+KwSUpFc3JO4r3WxSCsRKpVI8E2FhaWsKJEyewZcsWn/wzSA3DbPSTRnX37l2cPHkSTzzxBLZu3YqzZ8+OvUlf3XspigInTpzA1NQUnnzyST8YHDfYGMU8VWU6AiIzdljStEAj/ZaYtg6AQ5vwTSq0u1/xWTgTuJBsn2gALTO0WHFcfSyoczalKc3OzuLdd9/FvXv3fCfzLVu2DPx9GEWNGmyMujFiHYBZWlrqu8/Gyy+/jJdffjma9sUvfjF6/LWvfQ1f+9rXht/Qj2AZY94H8L67PyeEeBPAHgADgw1edRKqynkrlw/G8CoJVbw8AY4EZIh4zbanQMJ2pP4NDzhiVqNWMpWyGj3f2SDFWI0KE1utfCrxaVDyFDeE84jbDDmkoQQq6p8hPdDII0ajInEqYjKCbKpRwWZkTjKVS+3lUql8KhM6BhYCyIR2oESXAAaBC8luAVQCDruv7GOT/MhwoEGPA8ggr4a9zYyx7Iax/hVlJDKjPdshtYCUcNG1geWgx4CMWA7LYNits/G3QVYl3XN2sziCMMHEngCOzGqgvDQIwp3TaVFiKphsyg/kK/wbkZwqPa5H2uyvUnTk2Y2q74H/bnpZlfN+GuW/H2kMLnyvDUSvxzuK21emPhsm2qpyHK5rwuhQUD9Sqn6eG7YeerBx584dP6DfsGEDTp48OfA6hmU2Op1O7fMffPABLl68iOeffx7r16/3y4wbbFSBh8XFRRw/fhyPP/54yQg+7saBtO52u40rV65g8+bNpSvvA6VnFRIiT/Zh2/gj2Uudmu6Et6QgcsEY0Pi1TGHArwXQPOnvuNEW3JiWhBmQ1ViJvhiNRiMymd+9exezs7O4fPkyGo2Gj9Z9GLtjj4PZqGs8uLCw8FDuo0e1hBCPAXgBwKvd5+y/hpFQdTtDlX0bZSYh7Y2RAg/OYPBpHoB09WJ0Bx7pttBW9F+pXIo/rk+fAuDlUwAgPQgJhnC6n0bcShM8GiKRTnEzeJYADi6dqgMauQzejAA8jGM7tPduCAY8cqErQUYmY4Bh56kAGagyiXf/DDjAoMeph4NulZYeeGTGNvGTxkpm6Iq79GBCuIQq4e8LLQGpIYxwMqrAckCTTwORbEoLsHF8ABz086jd8REzHCEWF6aAFhZCUiRuODYcmICVFkkhoYwCGcgHl1PxY3n07Ib9fLSTHVU8B8V6aoT+GkCQVvFoXAJksTmc33f7GnH/jW59NpYjpRqFb+OhBxsffPABjhw5grVr16IoioFBAzBaz4YxBhcuXMCdO3dw7NixyHS+EmAjfY3bt2/j9OnTeOqppyqN4MMkXvVbBGTm5+d9T5F3330X8/Pz/sr7INX8i30AjQOdnAoSDgQ4aRV9IVoGLuSiDByIBUn8HtAGpkB8rujAr1MvZhHj0fyLfWj/r1ew0tULvEgpMTU1hampKXzsYx/D0tISZmZmIpP51q1bMTk5OfJB/DhqHGCjbv8tLi76iwOrdX9LCLEBwH8E8FVjzN3kud8A8BsAsF5uHMnrDdLID3A/3mxoE/fTqJdQRa+JIH1KJVThdeL75bhbNt8osrlrKzWF11cac1vFavjEKSafSqVTGUg+1R/QINN3Q8ayKfJnENCwt4HZIKkUBxyWxQigIhM6AA1JYER7kMEBBoELmuaBhiSgEX9O9DyXT9nHbvCpYymVZzacPyOT2kqpHOgQQnrQkRkNZSSEAIQ2NuFLC2ghHLiwQAPaDlslyaWI2WCAgnwc3nCgAZMADmI2wju0gENDIGegg0fiaqO9nArGRuMS85WyG1xO1TWRbQxRuJXlYnB9Iz/u1wAiRsYCqBB7a99/FkmpLPQIHcWjzuLQJSmVnW53ZObuZxgMGaxEBO5DDzaeeOIJP7gehqGg5UYBNpRSOHnyJCYmJnDkyJHSgGalmY0PPvgAly5d8mCs1/zj2Jb5+Xm88847ePrppzExMeETtu7cuYOZmRl8+OGHuH37NpaWlrB169au3ZuNEUAnA5SEWMOa8tVsvmkJiDXGxm7I5HfYTQNgmREqCSDp96cXsxKbYjoZIPvbb/e74/fExETJZH79+nWcO3cO69atQ6fTQbvdfqBM5rzGATbqqt80qtUabwkhGrBA4/8yxvyn9HljzF8B+CsA2NbYMfQJrGz8rh+SjEpCFZiPsgk8NYanEqp+KpVQlbuFD3++75fVSOVTlD6ViUbUT0OKLJJPydI/atqHioZ9JJmKGY28AmjkkhgKCzQa7DGBjYYDGRG4YCAjk4bJphwo4UwGArMhhIGUBsLNC6BSTtXzs0zkUzTNGAmtg5RKaQkDCzrosdJBTiW1saBDSChjoPz0IK3qgJKonKxKy5A6RR4Noi2kBRwENAQDHMZqi5KjjC5qZp7doEhcCevR4XIqD7jdy/n+2m4eGrwLDMNuDFK0UXYnpMlUYYjfYy2+OZi032kB8BhcLqWyrxo6ilMq1SBSKstixFKqql9QDUQN/oDxAY+HHmzwGnZAx/tzDLIMBw5LS0s4fvy4H9T1s8w4igbzFy5cwK1bt3Ds2LGuevdh4nX7rbt372JmZgYvvfQS1qxZg3a7DQBRvGuWZZiYmEBRFDh9+jSMMdiyZQump6dLcit+gjatHMg0hLRff+TuylBLQqxhP7Qt5+1I36IHFclJSCG6KkGSKXo93coBLSFyBVOM+VLAGIpM5tPT06BO5idOnPAm87p9fz9rpcHGKrNxf0vYA+/fA3jTGPNvh10P/2YP4teg+WmA4n+4K+erllCF16lmKXjH8FRCxafZ16hg0Hs28cOIWA46B3RnNdLmfXbJuEt42k+jW4dwHnGbQyCr6aORy9gMzhkNez82f5MxvJEYvwPQCJKp8LxGnmlIGEgHMKRnMwKjkWXag4sqVoMAiL2v2b5LpL2M3eDMRgw2Yt+GVFk0PZPSAw5pNDIhPeiQxg3x3S1JqwBEsirpZFV2eri2Zu+7H0nGcHhAAhHJrai0u+JnaHBOsxgnG2JyKt5hnORUttM8fByuZwlEkPuUAHkluzGIlKqmUilVRZM/8mlE+8B9FvZ+MIpzKZV0oKROSmUfsRSqPqVUPALXykPLUqpofkTf+giElD/d3vXQg41RDIiGYUT4MiRV6tXXYxhQM2gJIXDhwgWsX78eR44c6TlIGwezYYzB5cuXcfv2bRw4cAATExNdX6PZbGL37t3Yv3+/Nzq/8847WFhYwOTkpO+mbVTmwIWlfEWmvYfDtKU/G5KvwsfkMjozulDh7hvlTqiZW15ZSZYpBOpSp0w7L1He3fbHKAfuo1qXEALr16/3TFxqMuedzEdt0B6kxuXZqKqlpaVVZuP+16cA/E8ATgohjrtpv2eM+YflrrhfvwZVnbSql4TKwPiO4YAdTMU9NYIx3E4LEqqwrcGz0ZcxHDFbEr+3YYCHSB7VsxphntgUTkBDikYkn+KN+9IO4aVeGkKi4cBG2rCvygzOgUaUPiUCo8HBRcMBioYsgwxiNghkENCQBEgYwOCsRspseMAh4+jbftKojBHhopcHGDGzkWfKS6iMkVDK7vtMSi+vklo60GGghJVWKWG8iVzCIDMSHQc0pGM3pAxJVWDm8NA8omwaJ8bDsONIGwEIGX+n3G9wnkTFUsM/H5dMLIDp+O7iQbYUjnkBOQbvBlUVu2G/c1XshoEqjT2EYLIwZhTnUir7SsRcBCkVBELDP2FBo92iIKWquh9vU3fmYpwRuA892BhFDevZMMbg2rVreOedd/DCCy/0TLHpZSqvq34Hq+12Gx9++CG2bduGw4cP97XuUYMNitdVSuHAgQM992v6+qnR+fbt25idncWFCxfwKQCmk0OssQwJlL2UYjoZkFVc/VvKICaUBSK58QBC5MbH55qO8PDddIgiRom1MFoAhTOBSA3olU948tsyws+LH1t83xtjPDPFTeZbt27tO61pVDVqsNHt+6SUuq/AarUAY8z/h8EvnA1caeRtr6qSUJXWWTGA6erZ4CZw1m8j7a3RdbtKQKKbd2OYc0fKanBwUW8K9wwH+TQQ0qe4T4P+2QQqgdQQnrlhZe78GbxhX2oGJ3BBwKIh4scELnjylL1v2QsumQqAQyPPVCSfskyG8iCEAwwplX0sE2bDARW7TxjgSOS4PIAkklFp6acRADFGQOsMWgtIJqESQkIoGydr5VQaSkoUKoPQxj6vreBGOD8HQMxESKyyLy4jywOBDmhYf4aTVAFgpnE73XpNnLRHCItNYGey8NtF8IrcgXB7TPA4XGp2aUGGBdvCMSAQgDAxuwHDvxPSDfSX492ouY7PpFFhTo1qwRI9r/z83CgeeTYMGcljKRWA6D4Vl1IFIZZ7zKRUvRADByHjkFKt/qrCshStVmugZYQQuHnzJpaWlnpKlaiWY0TvFV86Pz/vo223bds28PpHUTxe9+DBg7h27dqymBwpJbZs2YItW7ZA/PGPwDQdi9HJHavhfsxyd1VQC5hOBsn9HAQaCpfkwRgLUyliFDHQ0Ml9aWBaTf+DIP74R2B+7+2u72PUzMYoS2tduW1CCExOTmJyctKbzGdnZ3H+/HksLS15k/nU1FQEBMbh/3kYmgSu1oNb/Rq/ya/BJVR+HXXLeKlVtRG8l4QqfS4FDjpiOlJjOGM5fNxtVY2a1YBnNfxjMoEzwMHlU2Ge+vQpEljZ1n0EMCRkYgQX0S3zaghuBud/1UAj98lTAWg0pKpkM3KpSiBDCierYuyGzBi7wUzjnNHwEqpenj/PZtjr+hHAcODDGAFpNLQKrIZQllWTUkNrAh0CQgegI7Q1wEthpVV+lOrGwsGz4bY1Ahy2M7kWAOER79Nw8yhhm8tpEbRSWgh/Jd4Y4xvSGbhtMbI2ncomT8VyKgPpU6ligAGEvhuc9Rgdu5GWgfIxuFUdxe1+J/lUkFLZZSl1i3s27Ot0S6XiTf24lIpH4HbbcpJSuWFRX+zFckDIIwk2Bh3cDTrgLooCb7/9NowxeOGFF/p+reUwKN3q5s2bePPNN/HMM8/g+vXrAw34hmE2qvZvq9XC66+/jv3792P37t1+3eN4fWgJoyVEI4AK0wqsg15sQqyxDJIpyOQmLFAp3A8fSa7azOhNZ89MW9aE1l1k/qSrW43SlaiHueoiYNOamJjAnj17sGfPHiilcPv2bdy4cQPnz5/H2rVrMT09ja1btyLP85EDq1GDg7qGfuOMgF6tla1unyQ/A/eSUNX5NXjX8JTNCE39ArjgEip+a+93l1DZdfb7u1FlDA9TBq96VgMIXg3+uB9Wo0o+JU1wdUjn0xCgHhqW8Yh7asB1+w7xtmQGD6xGWTrFgQYHFw2pArsRyaYcs5Epz2xwkCGl9Q7aW5ZK5Z63uzGADrtf4s9CuN8XYi/8J2YEAOVBBgcgBDC0EW5sIWE0RcJaKZV222KMgFD2M5HOT6Ic6KBBMI11hTaWuXcJVUYYfz8iBvzldAIZVoSj3Wdin3JAw9jPzIJ5klPZa/IZjBuAB3YjN7llK0TwJHVjN9Io3FhqOHp2IzWKVwGQ8hoC67FcKZWdlpWABcmnuvk2pBB9S6m6vbNBfRsPPdhIBzY0eB1kwDNIGhX1rNi5cydu3749VlADoKeB++rVq7h69SpefPFFTExMYGZmZqDXGHSwX7V/yWRMzQt5jWoAV6VtNcr6NnSrAZHIqEyrYcGIEf684ulp5a4UdLLAG/NlO1kJUOjFNZ5BCfPlkFnagqtc/Q7o70cNw7pkWeYlVcYYLCws+E7mWmu0Wi3cvXsXGzduHAnwGAez0Y0pfFBZqNVaXo3iVKRNPTyhIVE8rYrtqJZL1U3rN4UqLDAaprquunk1gDCAilgMxmpQw770X+gOHjpwkEdDesZCRMyF92pI1rAvSpiKgQYxG+TTyKQDHI7dIAYjklDlCtJNlym7kYXHBCakVBG4IJbD7pt6wGGLpZGRIZybw8mXoTVEZsGH1hmMdhIqlXmmQwhpHxPD4WReRZGBonmJ5aCSLjEKUN4fACCwHAxwxOyGlSNT83BaJT1nhGuvZ6wczhi4eFbJBtXGgwygsFHIIoeGCnI9E44rgABGmd2IvRvj9ckOUnZbw28PZzP4tEGkVHTOSX8hewGPwbZ7+b6Nhx5spEXG7UEGJ/0at2/duoUzZ87gqaeewtq1a3Hz5s2Btm3U/TzOnTuH+fl5HDt2zA+ehgUPg8zPa3Z2Fm+99Raee+45bNiwYeB19/v6xgjoTg6hDOQa5nvRot5k12pANAsLSqSx3C49xwCFaTXCiRQAZJBo0WsAiECNbjUgcgXdWfmv0P2M0a3alvXr12P9+vU4cOAAFhYWcPLkSVy9ehVzc3PYtGmT72Q+rBdiJWVUq0Djo1GD+jWA6muh2t8moEGYrsxEuclfauzW7sovH3yWJVSUQjUeCRWBBlHJatA8VV4NirpNO4VbliOWT1GX8LqYW89uyODXqOqlETfs6w40LMAwDlxYwCGlRiNTns2wQKMICVRSV4IMmekSwJBZ7NsgZrxkEJfVnw9nOLhBHB5sODmVyiAc0DAqg8ws0FDCgg4CGkplEMRmCA1R5FZKJUIcLwDv4yiQOeDBKgEc2pnBA/gQXkXQIIM4u9W63PDPGMWARuZlQ1xOJZl3w4ZfWZM1ReFWsRvl4146f0faVXyZUiqWSkVSqjSVKpjDw3zELAjWzE9DubXGUip/HCRSKu36bYStItCWwpeyl6P2nY3Rt/HIgg3eTK9X9QMCUgah0+ksOy532GWon8fatWvx/PPPRwOkQV9j0KZ+xLRIKXHt2jW8++67OHr0aGV/jBRILGcgZ4oMyJU9qbUaEJmy3wRpT+SmlQfwoIUHJB40SBUDiBRQ8CqyyPSWpk6pRduPQnfyAFC6bfsY+myMqkY9kKco48OHD0cm83fffdfH7g5qMl8pGVWn0+npjVqth6uG9WtEYATl75xlOIJfw68n9W4wCVX6OAUZIXmqDDz6YzdGLaEqV7mvRmA14mnVUbec1eDpU2QKT2Nu6c8CC+GBRjCGh7Qp3rCvzqNBQCOnBKqMom2VN4FbyZT2bEbmJFQEMmSm7CDdzSNcBHsEMDIVsxo8jcpnyPb4TB2zYDQDG8yrYbSAVJoBD3tfSulBh84sICHQIVXmgUemMyhFXhsDqRzIoM+wwtTITeMN7krmfg5h/RlGwjcP12QYJ8O7X1SC4nDj7uJWQsXZjcx16eVRuMRu+MG8Yzf8/ZGyG8uTUlGvDc4IGqMsQGISq1RKJdx+oMeSLZ/G3oY+G8aBBba9Sb8N3k18EN/GsPXIgY1hBvTdom+NMXj77be9EZwGI6NkKbpVOmBvtVo4fvw49uzZU9nPYyWYDeqSfvv2bRw9erT2ivW4PBsic5+Vdo2DirxkttOtBmTDsRrCwLSTeYrg1TBKeo+Gl2Npe6XIaBHkU1pCdfISk6J+7wVkf/z6QO/hQalxNhzkJnMAfZvMx72NdTKqxcXFFU/aWq3RV79nk16Nvqr8GgaxR6P+fsJ0IAEdKaAwZYN4uUN4YDXqN5o/NyJWo7ZiVsPOX2Y1qkzhWdLAj0zhAnH6FMmngl8j/OUMaGQJ0GiUJFMmAhrk1SDZVJ4p5FJ5bwZnM/K8cMBCR0yGyAL48MAiVx5gEAghUCGk8b85gk+r/BiDN0MA9vdICwdAnIdDSZjMsRqFZTWMdmyH0m68kUELAyUohSpIuCzLYX8fyc8BwMuqZBVST0zjxqdRBRZDC5JNMSZDWK9G7uRUuTeJWxu4BZs2Vpb+z5C7b41tBqlMxwPalN0ggBHYjfpjPxjFR89uVM1H7Eapwzj3byDzvg2aRlIquxb7fqjBH/dtuFdBvxG4JKvq9s2uisANywfGYxDfxkMPNtJByDA9M+pAQKfTwRtvvIHJyUk899xzy2IQaFuXA1Dm5ubwxhtvVHoj+PyDvP9htunMmTPI8xwvvPBC10HiqGJ1i989gnydZRKyZgeq3bA0dqZcMlXF+02aIAHxhSSbzgEYFczfgPVhRJIqwAKVpFTbghmtZLR8VT3IaVTjGMjXHRNVJvOZmRlvMicfSB1LNqqqYzYWFxcxMTExstdZrQen6DSUflP7ZT7svPUzR0BDxAbxbjG2nN3gzf3SRn7p4Kksoep2DlrmOZiibYdkNSqjbg3JqOxA0wIOEaVPleRT6Z+XVRkGQGLfBu8QbmNtQ2fwOqCRE9ggdiNXkCSvcr87nuFwj4nZQMJsgHptEKiQwb9R5Rf0uxwgw4OVVBH40C5xSguYLFwQM84ETpHuQkpomQHKQAgnodLS+wW0znxqVX1lVsonhGXkhIhM49qxRfaxOwKlQW6Ek00hAhvUf0Nr4RvMacCCDGPIYQBphJMI2USzuijcXt4NH4Pr2Q0kRvFhqvvwuiyl4iyGjh5ro3tKqWid1UlU0vXbcOtD3E2c13J8GwSrluvbeOjBRlrLbdBHRVGyBw8exM6dO0vLDDP4GVSyRMtorXHjxg2cO3eu0huRbte4mI2iKDA3N4fNmzfj0KFDfe2DUXg2hDTWryFNZJrTyoIOwDIZVF5C1c5tApVjJ4xKZFTsMc0LWOmV7clBVyKsX0QmJvT74dcYdY0DbPSzviqT+ezsLM6cOQOllO9kvnHjxpFtG9/GKmZjYWFhldlYrcrq169RxWj4+0nkbZWEqqoGNYj3Ymz6re7XPtl8A7IalDdVxWoQwCDAId12kHxKilg+lQnjlkkABmvax1OncqnQYEZwkk6RXIqABnk1ZMaZjZjNkJmGcEAkBRkR2EhkVNy/0a18vLqW4T7123BMh5EmuoUR0DIADCEyl0glIRzLAQBC2WlFkftBIPXvqBL3294YCtCZBxpaaivpEsYyF4BLnbJQwMupYD8zI4FC2ZDXjKbDDoTp00/ZDTpWqqJwu3k3eh6znt1YXg0jpRK1LEgo3neDR+Da58pSKh6BO0rfxijr4R8tJTUs2OBX98n0/PTTT3sJyChqWOnV+++/j7t37+Lo0aNoNptd5x8X2FhaWsLrr7+OiYkJ7Nu3byiJ1CgGtrrVhFzTjnwUqt2IpE0koaL7olGEnhwknYoAhQMVhdXCikxDd+zJmjMfxVLTpk+xWFzdyeu9HyN837xGLXsadcO8QdfHTeb79+9HURS4efOmN5m3Wi1cv359WSZzXnXsy9LS0irY+AhUymb0Ov1182tE80XejXrQkT6fRt7y6f1H3mKZV2yBVEJVPUfcxK8qgYqKsxoAogQqYjUyPsWBDAkGLCTJqJKYWwIczBCeyTSJSvuGfT51ShqkjfryTCHPC89seBlVroJsigAHYzP8ba4BoSFy7VkMkQcAAklyqgp2w+8sujwdzu32IrylCIjpMFp48CGMgCkc2KBYdyMBYVxcrSyxHECOHAUKN/TL8wJKJb9fCn5UaoyAlgINN9EY7Q8PzRgOzQzjgdWI5VTC2M+SnrdAA+4zt839eBQumcT59frILI6CHXMxuyEQYnCJ6aiu5UipWHWVUiWzMn8GEPs2LHHCDeLhs0lBRmwYLzMudb6NbvRE+vQogccjBzaGHdATQHn33Xfx/vvveyP4/dw2Ywxu3bqFZrOJo0eP9jWIG8YgXhRF13lIvnX48GFcvHix73WPKo1KK4mMSaVMYZsUyUZh2YUKGRPJnOwK7BUbIYw303FAkZbp5PYqEQMm9dvf+/rIg24QXykZVb+V5zm2b9+O7du3wxiDV199Fffu3fMmc97JfJhtX5VRrVZadAahH2jya5RkV8m3PfTUKPs1iMnoznyU2Y00hco+V5FC1ec7WlYlEqroKeql4QY8xGrEbEbMZNjkfUoJeQAAIABJREFUqRw86pZ8GhmCITzqqeHN4Il8KvJvoAQ0MlHuDN5wcimSTlHiFAcaWc7YDQcoSErF2QxBEioCGbn2Xo0IYBC4kMaGIvHfnDp2g5gMWE+GpQ0EaFQvCHhk2no3tJMaOemR8SAjZjkA+FvycVR+7JofzzaqVgvhG/8ZYdPAjHEMBgAjBPimKvdZkZxKe6Dhlkl6b2jGXfAoXC00cpPDCOVgQXxsGShIIaGMAjXHE4714Mfx6KVU3ZmM0EsDtb6NEHEbgAU3iNvHKXPR3bdR1Xsjix4DiPpt2Pl78zLLq4cebIzKs6GUwpkzZ1AUBY4ePTqWVJpBgAB1487zHI899ljfA7hh06XqamZmBmfPnsXzzz+P9evXj7Tj+CCl2g1kzY5lIxzbwKVNqm1lVFkzxOLS8wQ8ItkUYLWmbj30A2CMCNIsxmCQh0O5pn5eQiVd6sdD2pV6nAbxUZQQAlmW4eDBgzh48CBarRZmZ2dx4cIFLC0tYWpqCtPT0z1N5rzqZFTz8/P3ndm4fPkyPvOZz+DUqVMAgD/7sz/DvXv38Id/+If3dbseluJnPp/1X+HXqLpE0Mu/kT6tq4CGSMFI2a/BvRnhtcvT/HJ1A6MKv8bKSKiSuFvqHu5BB4u7dV6NzDQSwJF5GJIzViPtqUEsR5o+lfbSyKV2RvHYEM47g+fO5F3l0cgcu8H9GVleQGQaWcOxGo0igAxpINxjcPkUMRq5isGFu0+juQi3pactOxoE4C6Yw7gROXzMrb1vjeEit7fk4UDmkqk6uQU7mYJQGUTHgh7VcT4S7+Mw5YtuRRgaaqYi4BfbtRZoSAefvXFcenDREPZIStOpFOxny3tvELuRO3ZDgkXhOnYjMw1AdGBEZs3iTEoF48CvG9B3j8ENx/g4pFQG8N3ES/NWyKgIHJFvg6aBTavybVBV+TZSY3ivd1nFYIzaJP7Qg420hgEbSinMz89j586dePzxx8dm5u13oE6NAx977DHcu3dvoNcY1PDdjVm4evUq3nvvPbz44ouVpt3lrLvfeeZ/6yeQT2SQme1pYa8qsR9XLWA6Tc9uqHYD0BJyTds/DwTZlF/OsSNwaVW8CGQQo+EBiIscFHxw4UBH67c/hYu/8e+iTtr+tUY4AH/QwcGoQVd6bKxZswa7d+/G7t27obWOTOYTExN+/3c7XrXWlXKsVRnVR6uWYw6v9nB0YTCSmNN+/Br9R95iPBIqEd/nJnAgNr9KJqMiY3h4HPfVkI7PoGc8s5GYwklGZad1kU8xn0aDTaPGfAQ0rF+Dx9uqEqPB/Rmy4YBHriAbhZdMiUwFRiNTNoFKGiCzzAZyN3jPHdig3URgg863vU6TmoziAWwAxh64GkAh7GsUwr62kjDaRrxLaWCEhsgyC0AcoBDu90pL9/kwH0ca8Y4ihzECjTSARVuGIjNWRtUQVipG/o0sMoPHcqoCge2wRImI/B7aHRM2hcpxYknfDQHtQQZJkji7QcemYffJKA6SKQrJvjMrK6WqisD1zzGJVYnhYL4N+3za6C++gJZ6NAYxiafgYxQm8UcObAyaxnTv3j288cYbaDabOHjw4Bi3rD+wcefOHZw6dQpPPfUUpqamcOHChRXpCM7LGIPz58/j3r17JZZnkPWPIo2qykSnlU3jENJAu9vK0tI+nytrflMieo4ACjd6i1xZUKHjbxSfh7wb/jl3FWjfvn2YmZnBlStXfE+J6enpgd9zt7pfhu5B1jdqsFG3fVJKbNmyBVu2bKk1mW/duhWbNm2K1qGUqgQji4uLWLt27ci2fbUejeJn39SvERKnyn4Nndzy5/zjCr9GGnnLt2TgbuJDVHw1U3q5lH9ehGmCPV9lDAdir4Z0Xo0grkLk1ZDCjce9jMqyGgJBPmWfr5ZPZUw+xZOnvAlc6orUqVgmxf0ZEdBoFBC5i7rNHcORq3qQkaMMLqQA6PzYSwxPaFjrADAACAc+jHTdv0mnU9gLYtaLaGCkhCkMtDSQQlbLZJyPQxqFjKU38oGhgYB25nEjhU+oyoW2simJyL+ROzlVYcJbziRQKPtZGi+rsuMD3y7LsRvGGHi3hhE2kSrxblQZxY3RDrZqzxakhnErrwJoZ46K3ehWls0A0r3PI3DJtxGmp13GY3M43Vb5NjjwKEuq+jOJj6MeObCRZRk6nU7vGQHcuHEDZ8+exbPPPouTJ08O/Fq8wV2/83erDz74AJcuXcILL7zgr7AOylQst6mf1hqnTp1Co9EoNQyk7RkEbPD7tGw6vdv2poN+Sxs7OUJd7C0AtbiGeTakBSiMwRDS1IMKLW2sLpddaeGZFapiqen9H0Zn2LRpEzZt2oSDBw/6nhJnz57F3NwcJicn0Wg0MDk5uazB/TiYjZUCB8NUv9+vOpP5e++9h7feegsbN27E9PQ0tmzZUrvOB6HPRp7n0fdhaWnpPm7No191pzLyawx6saRrGpUHJgRC+kujstuZAJYK0BEGTSPyayRFxnD+OI27peISKj/NBIjB86doSUqgIlbDxoLav9ylTgnGaggRG8Ijo7gkcBEDDSko0pb10KDu4DIAjYz8GrnqDTRyBZE5qVTuLm7nsCCAAwx+CwTQUVd0HtCGAQ7tL8ILaYDCgY7CgQ5VtgrTdXuJwi5qEvioFTIpYKSGkQJ5XqAocmvgzzSU1vZ5Bzi0FDDQyBwToRSc3M327siEsaQLZzdcjw1lLJT1n69jN5QApKHwW35cBEbMzhPH4Cp0kuOPG8QDcyES0LH8in0blZIjY8EY92kIUT/Ur/JteDlVhW+j30oZDWruBxc/XNqOZbAX3erhE5knNYxnwxiDy5cv49KlSzh27NjQ8Zqj8i8YY3Dx4kVcvXoVR48ejQY8g77GcpiNTqeDH/zgB9i0aROefPLJykHjoOvvR0bVq1S74aJuLWgwRRYBAdVqQLea/o9Kd3IfW1vaLgceStQxWxaAf02qYmmNu2267TfeL8KLeko899xz2LlzJ9atW4f3338fr732Gs6cOYPr16/3NOZX1UdNRjXs+shkfvjwYfzoj/4o9u7di3v37uH48eN4//33MTMzg/n5+ej47JfZ+Pa3v40f+ZEfwaFDh/Anf/IntfN973vfQ5Zl+Nu//du+t3vHjh24fv06Zmdn0Wq18Pd///d9L7tavauyT1nyfN0Zqx9zuJ83kU1V9deo3r4qEFHTcLZnf41+q+L7XzKDJ48TCZU3H3eTUIFLqEIClQURlsngrAYNSjM3KCVTeMpqSJIICRuZGvfTCEAiPKbO4DpKncrSxKlcWfBBQKNRQKR/TQXR0EDTQDQB0YQ1KzQk0MyAZg40G+y2AeQ50Gza20az+o/PQ8tF68rsazREeN2mgWhot03xdvL3IPMCImdsTsO+99Cw0O6baF9V7Uvfu8ROExHws58Z/6yECCljAgRQgi9HCAIiHGgID1jDUcP8Qey+ZdaqZX5Vx3C15GkUv4XlgAeqqulV33k7b/dzSHUAhZPEJeekqnOUnS8+J1byqSO6ZvFIMhvdwIbWGmfOnAGAvhOe6moUYENrjdOnT0NKiSNHjpS2Z1DD9zDgRGvtfSIHDx7Ejh07us4/ahlVt3lIIqWLHDIPg3PVyZA1VCn2FrDgg7MadKuU9PInw+RXfB2+AaAwEchIWY74fWqoov6rJITA1NSU7ykxNzeHmZkZvPvuu8jz3PsM+hnojjKJitb3qMuyhBAR63TmzBk0Gg1cvHgRi4uLmJqawrVr13D37l3s2rWr67qUUvjSl76E73znO9i7dy+OHTuGz372szh8+HBpvt/5nd/Bpz/96YG2tdFo4A/+4A/wYz/2Y3j88cfxxBNPDPx+V2vwsiCj/rtVZw6PptWYwznwKHUOh640h5MspK+rsSO7Ypt+z8opVHUSKgA9JVT2sfCsBuVW5ayfhhDhqnfGBqd2MGqBBWc1ZCWrYSpZDUqeokGzlHZwTTIqwaRTHmjkOgCNhNUQDSedIrkUoaU8sxudZ47JcH9CMglVcsuL/357dsOxWZr9Fc6EXijLdCinWyp05aVpe90/hzQacCwHfXpGC2TuOCyQwxgFKQUyI2DywrIaiZwqMxrKCGTSQGsbt2sYu+G9GyCgYRmMTIAlUzlQYqzzIhc2+cpxFKBIXC6lIpYjlVIpQ9KoLlIqnkoVDa0lqofaA1Yfvg3alqjhHzOJy8TPwY3j5NvoZhL30wYwidsUPjGW/hpUjwTY4IPabp6NdruN48ePY/v27Thw4EBpUDTowGu5YKPdbuPEiRPYtm1b5fYAg8uohmE2lpaW8MMf/tD7REa1/n4N4t1KFRkyJ12izuG0N1QnK/k1CAhQehVJrQhEEIDwYEJVnxgo8aoq9la1bSKVEAZFu2ETSQDc/J//K2z59/9vz/ebyq1mZmbw9ttvo9Pp+GZ2qc8gXceoatTgYNSyrHGkfAkhsH37dmzcuNGbzP/yL/8S3/3udzE9PQ2lFH7u534Oe/bsKS372muv4dChQ97f9bnPfQ7f+ta3SmDjL/7iL/DLv/zL+N73vjfw9n35y1/Gl7/85eHe3Ee4qs40/SZRDVIRE+KHLfXm8PLyDlzUXdHsMn2gvhtDVK8UKj8fByCIAQaA0DGcyWBENCVlNUQEMrjUxoKKctRtKqOKrrSzK+4kn8rz4NGg5Kko3rZRVHs0PDOQyKaaDmhUgYw8jwEG/wNgnEG7VkrlfvOFVuEx/zMayDVQFPY1tQMd2l6gc90tHBjJvI8DcMIf8gcwgGyMHdjniBl3bQTyXEF3RCSnyoRALi0AIRO49jKq4N3QQIjCFQbKfdaCeTqkAyNW5mWQCWk7bCdSKjKKS0ifSlU+BsNgnkup6sDEyvk2Es8GNGBQKa0i30ZqEk+ryiTOO4kv16PB5WHdTOL9JFI9EmCDV9qgj2pubg4nT57Exz/+cWzbtq30PDEIgwy86l6rn6IO5YcOHcL27dtr55NS9u1BofkHARt37tzB7OwsXnrppb706sN6NrpV3fpmf/2/RtNd7Ncqg6AOvMr12XBMB5cxZc2OBxbERnhWgvXjMORsS0zi1L/DaAHoLCRTGQkhbKY5VeFet+g03PutoSq7HFcTExPYu3cv9u7dW/IZbNq0CdPT09i8ebNPT3rQPRsPioyqW/E+G2Qy//M//3P80R/9EQ4cOICFhQX8+q//Ov76r/8aBw4ciJZ97733sG/fPv947969ePXVV0vz/N3f/R2++93vDgU2Vmv51Yv6HzaJajnN/Lp3CQ/m8JqtYDOP2a9RcWW2KoVKCBl1DAecV8NzFgFwlCVU8ICDG8MJdHBgQYAj/QtsBjOFOzajKuY2yKdUJJeSPvJW1wMNAhu5sX00clig0RBlJiPPgSyPAIaRnOVwv0s9zmtCOyirlQcZgt2H1m59hbsfQIeACV4Oz3bwQWjuPRx2ACn8RT0yjBtj2Q6trYE5z8LvjjYCuWM6MmkH9fSTmjl/Bu8sToyGcnK5tO+GQmwUJ3ZDOheHZzXcLbEXZA5X0LbhH2xHcQMef8sTqpLvTpRKNWgN6tuotOj7WFtuEi/PUzaJVz1XvWyAAstJpBr0+bQeSbCRMhvXr1/H+fPn8eyzz2LDhg2VyxEjMsjAZtDkK6qbN2/izTffxDPPPINNmzb1fI1R9s3gRQ0Mt23b1rcxdiWZDSENlGuwlzcLaAcavBTKSOh2bPzmzfxUJ7NMCMmndFZaP4GMaB2thl+OF6VOGSOhktcdRaXN7O7evYuZmRlcvnwZjUajJ+MxTH3UPCC0zqo+G4uLizh06BB++qd/Gl/96lcrl606ntP3+9WvfhV/+qd/OpZePas1uuqnc3js50h10L3N4PWPhzOHh2UG/92pLjp26yVUQRMfS6hKa6qQUNEtdQznxnDS7VuGwxnDEbMa1oMRQAcBkxKrIQ3zFjjvBvMaZK53hmR/GZNSyaya0fDSKQIaDW1BBjEaecb+nDvcsRomb0QAw4OLPgBHDDRkmMaBR9EJ7Ikq7P2CjgsXx+uAhh2g2258QtPQlwGOhvANb1PDuJTWDG6cQkAbiUxqaC2djE1b0ODM4hljN6QQkMYBDdCtm87YDZtW5dgt972LAgSMsKwGM4qnUqr0e8Ib/JGUSkDawX9XKZXAKMIVDBQSK/5QJnGqNN6Wgw5q7leVSAXEIKMftmMcJvFHGmwYY3Dp0iXMzs7i6NGjaDabXZcbpvP4oMu0222cPXu27w7l45BRGWNw9uxZLC4u4vDhw3jvvfdGuv70tUYxjyoySKmhVQZjJGSmnKyq/KOr2g3PenDAwO/LTJdkWNwsrorcMRnx17JwUi7qSB7W3eUEMsQAXAiByclJTE5O4mMf+xgWFxd9P4l79+7h4sWLmJ6exsaNG5edbvUgMxGj3j6gfhv7MYjv3bsXV65c8Y+vXr2K3bt3R/N8//vfx+c+9zkAtinmP/zDPyDPc/ziL/7iCLZ+tcZdVZ3D0+pHdhHSp+qBBfdwcKMo+TW6g4rxSqrqKiRQxd3CyRieSqgARNyGZzRcQiGBi9SzYSVWBDAsgBCM1SAPh73WbZwvQNtpMpiWvXmcsRp0KzjDQX00KHXKAQ1kuh5oNPMgmSI2I88Z0HAgI7pPTHu3QScs0EAD0IoBDQmhNaAVjJQWcAB2/SoNHFEAjBfBGFiTBCUqSu26RhsNGAWTZTBGwWgBaTQyYje0vRWuAaAUNp1KSY3MWLmTEhJkzlfC/jbmzr8hHGORSUAp4Twa7HMmz4YwEMb+9nnmK4pJtt8GHjbAvx38WKQO4pVsxopUPdtgoJx8ivsydPBlMI+GnT/AA2JBBk2kKm1Dj0SqcdQjATZSz4bWGkopnD59Gnme48UXX+w5YBmGpRgEbBhjcO7cORRFgSNHjnQFPsO+Rj/zK6Vw8uRJrF27Fs899xzm5uaGTq8axbzd5gmmbel78Ugne6JBv31eQHVy5Lx7uDOUG3d1TScfLYGJ0AmcxN326o7IAtBIGQ5enZaNv+V9N8ZRa9euxb59+zA9PY2zZ89iw4YNuHr1Kubm5rzcasuWLQNfTX/QmYhB2cblrLOf6Ntjx47h3LlzuHTpEvbs2YNvfvObeOWVV6J5Ll265O//2q/9Gj7zmc+sAo0HtNJvbb9JVOl0bg5Pk6jSMh6E1HgzBgERKzaQCuxG97mI+SBZVTCHlyRUYJp9IAYZ/LGPvQ1eDYFwBV0IeBaDrrRbn4aJWA0CHD5tyoMMHYzfmQrxttwMntUxGnk1yMgb1SBDZpV+DeOb7LEfKh2mcaAR3Xf7yhvJhZNV+WKAQ1v5FyjgxDiGQ1u2Q+QK0ggYra1B3AhIoyBdbHwmdQW7oZ00yrIbhZH+c1HuMzLOGG6BRMxqxCwWvJTKRMeIlVLx40m5Y0y6CFySUlVVkFLV+zZGWiNs7md68BC80R+ZxInHKvfYMMgqnBXl8Ituoqzh65EAG7yoz8b3v/997Nq1C/v37+97uXExG3yAv2HDhoGlWsvpm8GLDPI7d+70+2UUTQD7nXfQJCXlzNmNNQxEaGmbGrkqWJJU0W7AGOFBhwUpMgIOvIyUJYbCP+dOsFEilftSd1pNyEyh0wrxt0W7PkZ31B3EsyyL5FZ37tzxcqtms+mbCfbT9X0lm/ANUysto+oFNvI8x9e//nV8+tOfhlIKn//85/HUU0/hG9/4BgDgi1/84ki3dbVGV3U+jUGjHeuAR+W8XZKoeI3G+L28dQiIrn4NLglJ/RpcQsXZDLtckFDR61jwQCZx4RmMKgkVDUIzH29LTAfcFXTtGBErp/KMR9JTw3s1hInkUx5gSBMnTnEzeJ10KnPMRp5bwJDnFlD420YAGNwczlgNw+8jBRwko2o4+ZSyTEfRgdHKCn6kBIoCwt0CsOZxXxZwQMM2ASRvhrZdv0WmIFQGmTlWg8mppLASZGI3pPu9lEK7z9/uc2WMA4MWfPjPyM1Pfg2JeilVYDhg10fHJALLoUX52KJb3uCP+zbSY7nKtyGMXqZJfPlDdC/5qlp7RSJVf1sVJ1INW4P6M6rqkQMb8/PzuHv3Ll588UVs3bq17+WGYTb6ASitVgvHjx/Hnj17sHfvXnzve98be7pU1foXFhZw/PjxkiF9nGCD182bN3Hy5Ek0m01s3boV09PTWL9+fe36rnzuF7DWqcwokUq7EyJ5MFSRVQKFTquJxpq2l1lp5t2gklls9k57ZchMBfaDjOY1YAJwCSBK4Nr/8BnsfmV8vRGqmiJOTU35FLGqLtrd5FYPOjgY9fZ1W2e/Tf1efvllvPzyy9G0OpDxN3/zN0Nt42qtbNnox97zVZ25uzXuC+tPHg+bRNXVHD5o1X2vengz+hhUBZ9GHH0rmISKtoDLaSJzuCQ9P0ml3OMk9lawFCq6Ap95GZVjOBzoEMJUyKccsHBeDQ8yctZDowpoUD8MYjSIzfC3TQ8yDGc1vF+jemBJnyaBDqOVM4Y74KHdOoq2u+1AyAym6CSfaJvdVxC5gdHGswSe2UAOYQrr5XB+EC+n0hpCkQTN+jQyz27YfayMRCY0tBCO5QifjXKAw3529rxLkqpClT97z3gwKZUwBDgkABVSqZhvAzVyQ+7boO9gPA2o/lYP59voZhJPpVP+6RofR7dO4vxxVSIVr348GhZMjDf+9pECGx988AEuXryIdevWDQQ0gOH8F70AytzcHN544w088cQTfntGLYtKq2rwfvv2bZw+fRpPP/00JicnS+sfN7NBndGPHDkCIQRmZ2dx6dIlLC4uYmJiAnmelwaAmVRQOkMmXfZ3O/dSJeprUeXXoPIAwVHGtjlf5peh5eu8ForSqZBBk0FPGBv7pwU6RRNCGM++CGGgdM2Px4iZjW61bt06rFu3Dvv27UNRFJidncWVK1dw7949TE5O+nQrurL/oBvElVIrZrReWlq67x3EV2u46vatWC5n0K+0qi6JKgYj5XOW6cJ40FLx6/Saf9BBUg14qEmgAhCBEfJrVHYNjyRUgd1IJVQWhDDwgdAx3EqmArshPcAwns2g2yChilkNIXTwashUPsXYjcSn4ftoUOoUeTQco2GaayI2wzMZedOCDA84mHxK5ExKVTME0wVM5gCHLDzj4YGHBxpty5g4oEFyLX8GTiRVVlxjrANYa7uPic3IpJVTOQbDaA2jFLLMKgDshSQdsRuZ1Mi0NZIrE1gOMohnLg6XUqgsALEMRi7s0LwAyecsDOBSKnusCFBncUqj4seXYVIqkh/RMcp9GxGrUZtCNajUqnvoa9kk3iM5qiKRqlf8rX2deL062kvx1i6num19r3U/MmDj/PnzuHPnDo4dOzZU3GQ/ncfT6gYEbty4gXPnzuG5556LErDGDTbS+T/88ENcuHABR44cqTS/jltGNT8/jytXruDo0aMwxsAYg127dmHXrl1QSuGdd97BzMwMXnvtNWzcuBHbtm3Dli1bIhZBq5D8ZLSANgF4dFrNiN0gCZU3lLt5A+hwP5Iu6co39nOgIcuVT+VImYxIUqWFpdddFWplvkqDDObzPMeOHTuwY8cOaK19zPGlS5ewZs0aTE9Po9PpPNDMxjhkVHW1sLCwCjYe8RqUBegVe7vcihv5MSO5M4ffH3NrdZUBR/33Mu6xIdg0BMDBJVQMaHhjOJNQcXBB5mPqGE7G5MgMLgyET6KqZjUIYJApHNIkvTR0BaORR9Ip7tOw7IYFFyZvOMDhQAYBDAIXnt2o/t0Qmi6WKQBrAF0AwgIPaw7PIIq2m1eFI1O7vculWFxSpS3DQf4NA0DkCkZl1hhPZnEtIJwEOWU3jBHQmY3E5fs8ExrKwQFuECeWoxCIoo65UdzfJlIq7tsALNBRIvZuVO6/BDTwCNz7XVVeDTJ+2/v1XETopRHH3/Z8zSHjb2nZ7v13+qtHAmycPXvWG6+HHTgNy2xULfPuu+/igw8+qEzAGjRdajnMw+XLl3Hjxg0cO3YMjUajdv5xyLqMMbh48SI6nQ5+/Md/HFJKtNvtaJ4sy3z07+OPPx5Fve4kf0SngUbDAgjNOoADZaBB04JnI7AadtuNjeuTmsX8wTMXgAUdRseG75QloWq3m555oWXr9sUoB/TDrEtKic2bN2Pz5s0A7MB6ZmYGN27cwK1btzA3N4fp6Wls2LBhWdv6MIONVqvVV0Lcaj3YRXKoIdSe8Xq6Ptd/7C2V7yjuhkh1Ho7+AMZKgpDu37/Ur0H9NcLS1GEjRN7yFKrUIM6nCcdykD9DAP6+j7eV2s9HxnAR/WkIaTyrIaTxf1azY5kPQb4NqYNPg1MwvCM4YzEioJE3HNhwQCNbE0AGBxg9wIaPadcKQhd2XVrZ6UJBoGVfAwAKQORNO5wsOt4rYkGHtqCI7tP7yZ1/w/XqEJmCKCSMsOZmIY2THjsgQeBCW4aAgzqKwRUECqWGpOQqEHgk4BCkVFWfdyqlEsb4o8aF90aeIOq3wSNw+TWBskdjhUzidoejO4tBSo3yPOTRIFajDoBUxd/y51JJFd+yZTX7c9G4g3g5HgmwcejQoWWvYxTMhjEGb731FjqdDo4ePVo5SBpn3wya3xiDN998E51Op2cS1ziYDa01Tp06BSklNm7c2Nfrp1GvVwAUnRxSahRF7q5OKe/f6LQayHJV6dko2g3kzY6XShktrKeCwAeTRami3IUcsDIrWo6XMQLtdhN5Fujpdrvpt6XTqQZ1o6pRAZd169Zh//79aLVamJqa8izT/Pw8pqamMD09jampqfuebjUOz0a39a0UsFmtB7v6PSf2Yjv67Yehl81gjMAcXjU9GQj5gV7SzK+qyK8BBDbDLhuubofXofWH28BQ8MFoMIkLuhKOwHhIYSAoIpdF3xKzAWksqyFMxGqI3AISL5+SxqrIalgNawZvBOlUAjRM3ozZDJl5kGEkdQSkHZIMw3QBkxEDUliA4czgAI2l18QSKcdoeL8HAKM1BAeDxx7GAAAgAElEQVQaeWZHh1pBaNv0D47lENLYfWAsi+H3W6agMwmh7EU67U3hGoXb13zf2+hbCzykCZ+hdGwFGfmFAGCCb8cfA4aOEfgGf/wr5tv6Ob9G5XHHmvspo1iqU/daiU7i3YrH33YrzoJUP99d2uXnG0czjS71SICNYYBCWsMwG1mW+av1RVHgxIkTmJycxBNPPFE7oBm3jEophcXFReR53nU7qEYNNoqiwPHjxzE9PY1du3bh5MmTQ72WVhIy117OZM1ptot4JKsywjMKeaNgy6eejfhHkRvAyZ9BxaNsS4393ON2uwmZabTb9uqSKjIURXUi1ag9G6MezDcaDWzbtg07d+70cquZmRlcuHABExMTPt2qn7jmcUTf9pOq1W8NE26wWo9WadOd9ag0gfcpp6qLve2WRMXrvsbeChI5xc38gODR6FUSspSUEyUKJecuyZ7nfo2wLGMyIqDBemyIGFxQ3K0FGU46Jd2AmtiOXMWshnTSKQIllD7lL7dLu388i5HbNMMaRgMih8nXVIMML6WqGX7RdF0AyGFEEYMObVkOUQCQyr5m0Qak9gwHCGhoBd8DhLqMp+yG1ECurGyKGB7n3RDut5YYH5lpSG2gdWA7lImZDv6Z0GcF+swYrLWfrXFyunCsyASi28aAwbcR7SojYUS9nIoX93DA8O/aqNgOxmT0GX8LhJjboV+1SzpVL/lUVw+Gcc+PaLjxSICNqsHXoIOeYZkNGtwfP34cjz32GHbt2tVzmXHJqNrtNl5//XXkeY6Pf/zjI18/0B0wtFotvP766zhw4AB27dqFdrs9UJ+Nrx78fUgB/C9Pn8NEMq5VSiIjAKAzSKnsgN/R5ADQaTeRN8qeDTpZRutzfg0LOMrbqFWIxe3WZ6Oqzv83/y0O/d3/M9Ay/da4mQMutzLGeLnVqVOnYIwpJYmNe/tWSpa1CkJWa9jSVeePHoOX2KtxP3wZ9B3t/7tVFYFr1xDM4WHtTlUfJQmFV0z9GqVGfolfQ0bL8kZ+xkuoOCAJjIYKg2AuofIDaPeXaQs+yBRO1AlnNeiPemawWNuSdIqARr4mBhkEJIjZkDVMuO5YgGAKu4wuItAhipZ9DaAsqaJt0zrIqQA7ANY6Zjdyh7wLuw+ifcL2kZQ2Blf7fdpdSkWfT2A1DDOWV/s2yk3+AMnOy9y3IRMwzPttaISLjl2b+wnpOokrVBvGOVe0MsXjb1MQkjb7q2rsR702HsR6JMBGWhRJO2g/i06n03vGZJmFhQX88Ic/xOHDh70evtcyg8qi+pl/fn4eJ06cwCc+8QmcPXt25Ovn81cNzObn53H8+PEoeatu0PmVx38fWcVHQwja981wQCB33cCVspdkskyj02lUyp/a7ab3eBSd3Bq+jYBJOFchTOTB4H4LzmpwIJKyFtyzYYzw8bcA8G8+9vv4txf+yD334DIb3b4nQgisX78e69evx4EDB9DpdDA7O4vLly9jYWEBU1NT2Lp1KzZv3uzX8aBH33ZrEjgOydZqPRhVFWvbi8GoXE83VqMP0DAssKiLva2ac9RVpSlPe2rwSo2rcQJVwmKQNwPh/J/6New2sHQqERr5Sc54MAlV1Z+XUGWOweDpU8RsCOOv+iN3G8ga9/mIW89sNL0Z3Eun8jUxq8GBhsgtwHCgQ4jqIZjh7IbuBEyoAUPbx03gMukerhWQ5364LLR2EjBtM2dz4S9dWyZH2d5SuWM1vEFcQWbS/xZW/iVSKsk+ozAP/a6XfRv0mXv4y3wbdPxIwImHRMx6VJjE42Ozjz4bpRptIpWdxcbfDsNg9GrsB1QDj/Bc914buqKL+PK7hpTrkQUbSinkef9vL8syLC0tDfQ6d+7cwY0bN/DSSy/1nWIzDhnVrVu3cObMGTz77LPYuHHjwGBjucwGRevS6/MyxuA39/7vERVXBTTiZQQKlSF3NC0Ab+wGgI7zctRVp9PwngpiKGyfDnYlxKVqCGFQdGJ2QxVZABwszla72Fvu/zBGoCjscaZ0/Mb+zcd+39//P078bvc33WfdT09Eo9HAzp07vdzq9u3bXm61du1aTE9PoyiKB9ogXtfQb5XZ+GjWoA39omV7DOxJUtUNYAyakJN6QFZaY17XQZybwwHAJ1GB2BDB1lE+36SDThq42nVxRiPct+stD36lJCYjlv/4eWR8FR/EfDsPg8jhkI6MTOE+dcozGyHeNpVOWYZjohJkeIDBgIZw4MLowu0jx2pkuQUeugBExzEbluUQWPLsCZdUCa3stmkNIzWE23bhzODeuyGM770BZfeB4YxPlvo3tDWISxnv4xrwUfq8TBhqc9+G5F4NxB0zhBBe8xjkeOHYok7ioosUqT+AMbpK05vK8bc9lq+Ivw3rcr01ejT2W04zvzrT93Ib+z3SYGOQGgQEGGNw6dIlzMzMYMeOHQPFZY5aRkU9LF588cWhknSWCzauX7+O8+fPR9G6Kbjo9wClH37uxwDg+1cYI0ogo8P8Fg3m2eBgALCgg+RXQAAUdQlSqshdgxvjGJVQBE6MFqULDoXKYJvj2Mf03v/guT/x8xDjMUw9KAZsKSW2bNniYoqt3OrGjRu4d+8eTpw44X0edXKrfqsOHAxbdcxGu91eTaL6iFfdWZBAxbiHK4M2+lvJqhv8AOWrtXXMhmBDMN5fg5vDU78GSarsNpjklkmqoqvqBCw0k1bpkjwIkozgLpXKj4zpL/ZqePmUG7xXp04x6VQd0BC5Bxf2fbD7WQ5j6Hcsh9GFZScYs+FtASa3voui5fp2rAmSKq2BvOH6dGSA1Ml7cR+AYe/X7RfD9kskN3MNEnWyj/m+D36N8meWSqf4Z+77rJCEyvXbgHHHgeNoUmYjrW7MwYMQf0v9Pqqnj7+flIZBVgFCVuKSxSMBNtLBzLBm734AitYaZ86cgRACTzzxBK5duzbQ64xKRmWMweXLlzE7O4tjx44NxOKk6x90ftqeK1eu4Nq1a/gP/91/xiviP///7L1rrF3HdSb4rdrnXErU2yRtiaJkPRhblhKZksjYbXcHg0ZnnGgSpSczyTgOkkmcICPbSbphoI3JtLt/pJOO0ZhuZNpOw9OxO414kjEyCSYKJrEbBiYIEGRs2bIoWZZsUQ+boihLvhZliyLvPXtXrflRtapW1a59Xvdekrq66+LinLNfZ5/9qF1ffd+3VlxmFriYNZronEGjQIVOedvZERrjGQ+2lDESbZBNAYgZrBxTWL4J25YifC4axIWZIJOkVeIPKYGGgJe2HYOIsT5ZyfbVEKOzmg3p/z7xpgCLA4/NHoHfDPCi5Varq6v4/u//fpw6dSoWbtTZrRZlKZxzmy4bq4GXM2fO7ICN12hsBjswjwdDUt4KeJjKeMQaG+cbaFRkUpVif71lVCaq2VvMRSjSD5Zlk/E4MRriCUj7oeRWNQmVnmcctDHcd8RlHpRpxPT+I6uhKoPLP4xnITLp1ADQyADGgJRKDkAoy9AHHG7kpxkLMqHWBvt9I7Wfwm70fw95GVUAWx5kBLM8eYhNKqPXPMc37XY6P9q3ISZxObez+gpDTwtJRGBqEj+V/taQge0BjM0yhC8bLqSOHQYXIp0qq4jXl5v9TJ031e1m1dSoxbYAG2VsFbPRti2OHj2Kffv24Y1vfCNOnz69pQwKUGcenHN47LHHwMy48847z2m6TgEbmr2Yh7kYAhhDfefONrDOYGWk5FDkJUxd583dppL5pWtHMSuVgA/rmsyf0TQusiVDD8SuayKToutwJLbFYKQqmK+3Yy/XCsDjF9/8Tfynr72xt13pN8vx+Kc3eanV7z41P+jY7M73ZjMlu3btioUbnXM4deoUVldX8cQTT2D37t3RZD5U+6Xcv3Mhyzp79uxOQb/XcCwqp5oloUrLbUWn5vx0lLLsVJW0t/NkopJsOKU5HEij3nF7lWZJzMea3Sj9GnpZAJHFiMBCT48j9x5wpC+X0X8BGRpgGAUwGuXJKD5PARoCMKiSkYoCo6EO7ADgGIVXX4fDT7eAsWHfQg2NADw4ghD124QniMfARCkVQs0NASCRBUIOLPw+516N2rnSUaY9zqrHK4YDEEO5z0jlZVPF4HIlDa6kv421LDBf+ttzGV5eNd+zbZkq4ovGRmVSs2IHbKh1poEAMWAfPHgQr3/96wEsx6AsAzZ0SIrdK6+8EjfddNOmdhRnxbwAY9qDuwQX5ZF475uPo7MNxqPOVyplAkIn3jnji/xkbIbvsI7HbQQCug6GFO/LPBlS5M8wuq6J82wAGI0CEdaq+QG0SIM7accwxmE97AMRYxLS31o2aQAKqQkof7+cPgEdwHTgsRUyqs0Gq2V2qz179mDPnj1gZrzyyitYXV3Fww8/DCKKwGP37t3V37UVqXSHwIbIAHdiJyTOh5PnXMum5q2xMS2m1tsoZVUz2i8hF/w+5IXhUMwbek1AIx+Zl8iSi5BIqqD++xKqktVAxmo0idWI/8NAY0hGBQDMXZqvsrP2AEeQWzGPPLsB+H3hxmekMklClbEbpZQq/nPSN5XHSB9f48fJp7Eb2bnicE7iufX+DanFMS2M8mxMXQ4GTA0sz5fkZ8jHsfm1NqYDgCFZ1fQtDhfry5fj6jefL3fiDtgIIWlsa/Hiiy/iscceww/8wA/EiteyzjJgY9maIJJa9vrrr8f+/funLrtZndKNAoxaO6GP2PB6HiC03SiyBYY4MgrsCK0bx0atDcyCZKLqeTYK87Yx3q9BxLBWpFUBVNgGjg0MOThOlKwAlzKzVS0acj7DICJbnX9//J1pWg14ADn4uFA8G8sEEeHSSy/FpZdeihtuuAGTyQSrq6t46qmncPbsWVx11VXYu3cvrrjiii3LbjVNRrUDNrZfbHW3fbOYi3mL/52ToHqWKQBVo6sppi2TcUePbKftVkbE4/LJJwCktrs0h8f5hf8g82vIhkugMU1GhdCxB5DqZpSsxjDQ0ADDFGAju6K04qcEHG4ExFdvHIcZAdZ7OCjsEwcgUv9NlAOtcKwy34Y+dsIimdyID6vOQXFualeDURmcsnM/C3wUEqi+X6iBRQ44JP1tGRca2zGrWN+8MS8YWX77y+3ltgAbm+XZqK1z8uRJHD9+vGrAnsWG1GKZFLsAovFWp5YdCl2Ve9kQkLEIwKixFkPqSFm3bFsM1WlX5wJTYFxkFExlufXJCsbjLng2vITKBDObSKcaYyNj0dlRVY4FBFbD5HU2mAnWpZS4k+DdIOK4XxHoFL81/UagU5RlZD8qDS1RDj5+4//7tVct2ChjZWUF+/fvx/79+2GtxUsvvYQXXngBx44dw+7du89pdqu1tbUdGdVOZDErDW51nYHOy4XUqVk0FsmkI6FrbPjPxatIqIAqr6I7qtqzoedBzSunyzz/GqQ02hwO9PwaYeHUCc92qImvPQkVkLMaAGDGU4GGyTwbpRwthZMJVcAxBqwHGJHdcDYAnSSlIsXEFAc5MB2MZHJIvo3qMaPEauSbSucg826o89jzbFACHPFYxGUT+NDXjkByqbWxaPSABxngPJvGXyuxLcBGGZvBbDAznnjiCbz88ss4fPhw1YC9DEuxDBAS6dRb3/pWXHrppXN/xzKdtF+97kN+GwuyGPJcLn+ZfO4Bk4FtWzZwHWHcWDgm7Bq3sMowXqvQ3duX4M/oupHPOCXMhUlyKL0Tjk2vcJ8Y0q2WWTkTG88o8QrRBpN5ykZF8XeXx9Jx8Yo++6GZD40FfufvfdTPX9JgXsZmMwfLRtM0mdzq9OnTWF1dxenTp/GVr3wlZrfaKCCw1u4wGzuxodgMNmPeiuLnOhYFFiWrMZSJqnw/dR8qg0jlPCLvE4jbVsBCsiTly5dARI2Ox4518WXarwHknXXNbhTAQ1cJnwY0hgzCMp3ZwtCoDjisFPsbwVfyC+yGeDOs7GOr9rfLfRv6Ow2CnMznK5JjpI9aXyKlj3WTg0Aw5hnDEknVrNBZqGZlpDJossJ+M/dhgPk431EW8Ruqt+HgBr2nw9vuVxPf6tgBG2odAQHWWnzlK1/BxRdfjDvuuGNw5PdceDZOnjyJ9fV1/NAP/RB27do11zqLprOVEKAxFBowTJNHVcEI0KvHKR3xyHKwnpeM2I1xse5GZxs0gT2Y2PzGEzO5LAsgqwSu5U+mcdF/UasQbrsmpb5VEizrTMZuOCY4LcNiwsSOYJ2BY0jdpCyGcljreRnwqEitSoP5RrJbXWiF7IgIl112GS677DKsrq7i1ltvxYsvvognnngCa2treN3rXoc9e/Zkcqt5Y8cg/uoIIvoRAP8b/NP1E8z8kRmrXFCxLCBZzq9xrj0eGxucqDMZleUWbJYGQUppahagoUbs07JII/4qWD4LSwAlo8rWV12qKVmmNNDoyai4i8sMpmqVOhzynS7vXCcZlclBR29/qaeJkXob/kNxbS1RnnoaeCx3pbfuPOuhX9jv/MXiIqNlfBv+m2aDjK2WVC0S2xZsLFMN3FqL9fV1HD16FPv378d11103dZ1lOvXzgg1mxlNPPYWXXnoJu3fvnhtoyHcssl9//D/8Of4Yf16dN00q1WMxlDSqBizi/gWAoTvizMB7blr1ngyTNx3CKEin3xfXM71GbL0dYxwAxzSpFaDAhEu0r6Ss1VmmIqhw/ZtavkNAiYSMuP3Mjav4P57a22ufMyBBOfthOW9gNeNhkI5/+SCWbehCgvMAjwsRbJRx0UUXZXKrU6dO4fnnn8fjjz+OSy+9FHv37sWePXvmSv/snKsutwM2Lpwg3xP7PQA/DOAEgC8S0V8w86Pnd8+2W8zfwZmnMzTEisybSlNXke5//2y2Y57pWh6Uf3lNw6q8DVCAI1tPpbuN08Y903ct6xTQBxoyzfHskXmiUZJSAUHG5dPgwq73lmfJTKV/m+6ml4ZwJTfrM0NDkrX5zhOpDsK8fo1lQlcRP9fF/XYij20BNjbDs2GMQdd1eOCBB/DmN795pi+i9r3zfs+sfZNaHsYY3HHHHfj85z+/0HcM1eaoxTQ2o8Y4AMMGb70Yo89cyLasllxFSRFn9SpaO8K46WInX0ZaNLtRi0k7xooyidvAkJSNoM5Q1RUMSWebKJMSVkWDCWE3yljvxolFkQxapQ4KqU0ndWxKMCahpzs1r3w2EvW3oYEHMAw+LnSwoaNpmiip0nKrZ555Js7bs2fPIHCw1laB+042qsWDiH4VwB8x86lN3vQPAniCmZ8K3/NpAD8B4JyBjddcl2SJkdWtjOk+DiWfGuihZmlv540FDsFMViPuh0pzGyRUwmrUgEbcVAAcRE3qLispFZcyITOKoEPvI8X3SsRWBU2Du9L/TQPpb9Om+ufHzCmXmvndQ5nT4GViG9t4MMQAyHVrO7EZsS3ARhnLyKhWV1dx9uxZvOMd75jLF7FszAIbXdfh6NGj2LNnD2644YbYEVxkBHpeZqMEGvOyGLP8F1kHWTEY0QgdXkU3KEZMxxQ7+hSYDCYPQrScSlcYF6AgjAaQMk8JKCmZCaP8H12FIdERZVNFdiuJ9XaMxjhMrDxQUlE/Ig6gi1XuDSTwwfkxifuv3sfquep41vwdJeNRyrKAxVmPRWOzCw7OCi23uvHGG7G+vo7V1VUcO3YMk8kky24l986OjGpT42p41uHLAP4TgP/Cm3MRXAvgGfX5BIC3bcJ2d2KbhrDJgyzHwOAUgIWlQVWgUf3O89+98oBjAZXHEjKpZePVM8S1E5sR5/9u2KTQkqZFwcbx48fx3HPPYffu3VsKNIDpYGNtbQ0PPvggbrjhBlxzzTVx+qLZpeZhNqYBjXmkUsBwtiUZzLfFdAEYUToFwIYv81Tq9IZOezHW23GW+WKiJFSdbSKgkM9ZRXJnvBQrgBoTlikLQrFaRiRc8xjUAUTwAfjjYEgfLxntIXQVXVTJfOh1ZXuytACPMpWuBh01LawAj5/59E/M9XvmifMtydq1axeuvfZaXHvttbDW4sUXX8Rzzz2Hr3/967jsssuwd+9etG1bBRtnzpzBVVdddR72+tUbzPxhIvoXAP5rAL8I4GNE9CcAPsnMT25g07WLKGsciOhXAPwKAFxiLtvAV+3ETuzETuzEVseFxZ1uUsybkpaZ8dhjj+HUqVM4fPjwOcnKMwQ2Xn75ZTzwwAO45ZZbMqAxbZ2hmOUl0UDDcS6X0lmlnJov/wwBCfm6CNOExdBAwzHHf5kepVTsAUcJTAAvpbJsMoM2M8XMT2VIcT2nGA9Z1zqT/WumowQaMk22UcqsNKPCoCif0vvQkMv2O1s//H4bGA9hP+S/C4BMzkd5DmQbcvyknof8A8W5nILh/s9334cP3vzhnuRqmdjsauQbiaZpsG/fPrzlLW/BD/7gD+LAgQM4ffo0XnjhBTz55JN45plncPbs2bj8vKlvP/vZz+LNb34zDh48iI98pO9Z/qM/+iPcfvvtuP322/GOd7wDDz300Kb+rgstApPxrfDfAbgKwJ8S0b/ZwGZPANCGuQMAThbf+x+Z+TAzH77Y7MjfXuvBqDPPcf5AWwwAcIu1WeTmG8hkt0FZzybEvPsaY8FjsZE4tzz4Tpzv2DbMho55UtJ2XYeHH34Yl19+OW655ZZz1kmqAYfV1VU8/vjjOHToEC655JK51ln0OyQEaMzDZAz5MfQ6UuAzZqJCkkfZAvA4BTQYPpOTVOtkePagabwkaaVJDXXnPBhoyM9rBupiAMCkG/mif4GVEPmVZieE5RCQIYxK24389xSsSCnDkkxZZ9uVmBkLxBFotK6BgWdd5Bh4NoKqfoySuaBwDIWemGUwp2JbpaG85ueoxQdv/jAcT69gPi22ohr5ZgQR4fLLL8fll1+O9fV17Nu3D2tra3j88ccxmUzwF3/xF3j55Zdx1113Td2OtRYf+MAH8LnPfQ4HDhzAkSNHcM899+DWW2+Ny9x44434m7/5G1x11VX4zGc+g1/5lV/BF77wha3+iecliOjXAfyPAFYBfALAP2Pmlryb+BiA6enthuOLAL6PiG4E8CyAdwN4zybs8tzxmlNss7ugfBu1jmhMJ66ILzcgxom1jhbpPC9wwsnZ/j5KUb1sP0JmKYzA3EUWmqiB427Qt+FidXALxx2YO7ALrzXzeAXYaKBBuj9Q6xss8NvlmA4Bu9r5cZvg1wAwWN17U4piZubx19Tdf07iwmldNhgaLMySUa2treGLX/wirr76ahw8eDBbdxnJ8SLrlEDgxIkTePLJJ3H48OEq0JB1FvmOIWajBBo1JkPm6xF0VtMcA1bdhxnQCCPzIo9K4IIDK8LxM4plfuqNpwHk8iMXwIKEntfaESZ2hPVujPVunP1OaQQ1u6HZic422XY722RsSWcbOGcyVkReIzNSNJ6Tgm2Z2BEsU/xd8ntbx1UQVgK7dAwT01GyFsJ6yPLltmQdvbwsMxSG+hXM543NrtmxFR4Qay0uvvhiHDhwAG9961tx6NAh3HLLLXjkkUfwwQ9+EL/wC7+AP/uzP8NkMumte//99+PgwYO46aabsLKygne/+9247777smXe8Y53RDnW29/+dpw4cWLTf8MFFHsB/CQzv4uZ/y9mbgGAfcqXH1t2o+x7U78K4L8AeAzAnzDzVzdjh3dCx/wdqnmy+Ax1+IY6iL294eHR7mny1UE2ozJdGI4eCKmBEna+Yx6e11TtpHeg8J+mtT1AMMRy1LJOzZOJCghAxiU/RtyPge8i9Vvib8u+OD8GEVRUEqIMfZ73PHHxvJv2TNpI6PoZO5mozm9sS2ZjGtj47ne/i0ceeQS33nprT6O9TOXtRdcRsCFFA0+fPo3Dhw9XC43p79gIs1EDGVHTH5apZY6yxTRt9O4qHUGO63HMGiEdaw00sixU4bsbcmidwTiwChM7wsjYaBLXMqeJHfX8HevdGOMmeTZ0EUBJTasbO/Fk6EJ9srwOSX3bFhmphLYXg7gDwYA98yKpApnC7/LXh3TD/fH02/LMBKnpqtYGa+ZCUUkhhLmwnE1GQ/m2Sk8HUf+7dEgmq0VZjs32bGxFwUHnXHavjcdj/OzP/izuv/9+/NIv/RJGoxH+8i//Ej/+4z/eW/fZZ5/N0mEfOHBgKmvxyU9+Ej/6oz+6qft/IQUz/8sp8x7b4Lb/CsBfbWQb5zMMzFK1NpZLz3lueRiGW6qqeFq/H47Rc+pwZdrU7Q51dMuReA5tCpOvtZQtG3ameN6SCwXunAVCUVhyFlweBtcBTehWcYehLhazjVmphsDFYI2NuG31nUVEVsM5v89DIRpcvWlHQHms4vLznRCGBhbzrTNUn2vmehcUC7FEVfMlGcV5CvktWuxvK2Pbgo1a5/z555/Hk08+iTvuuKOqz5b1FungLLqOSLy+8pWvYDwe49ChQzM7aBvxbNRkU0DfvC3L6BHyOE0BA/1abkuPYMn7joER+dd8nTRh6Pd3rok1N3RRv6GMI20AKACi3KpcVmRVkmVK5re2//AUwGKdAcNnpCorhwPAWjfO0/Y60/NrMPtxPwdgrH6vBxQl01GMGmXz1KcBU7mARNm+nxGWQy6BGzKQA4nlsAx89OnZoGOzwcFWgA1r7WA2qksuuQSHDh3C295WT3xUY1qGrt2//uu/xic/+Un87d/+7cZ2eCcuuPBAYmOyDUMN7AU40sqwCxXtc7BoMFafXQZDdA1ql+fkG94HJgx1M9MIet6hdXG6CRJaUyxfjsQrH6AzIDivJMt+nB/9j5IpZwH5raEDT86CnfWfTQAX3EXQwa5L/c8w6uNTmI8imCgriWuQUZNQRZbEdQl0cBeAkFVAQ12jan81W5OOgT9G2tvCXD7DqHjNj3XvuTWAFFy2zJxApHcdTVt2sXtzUyRYWxCmuC6G7stlAMW5rh4ObCMZlY7Ss8HMePrpp3H8+HEcOXJk0Ag6j9djo+tYa3H69GlcfvnleMtb3jLXSPCiMioBJ+8/8KFBA7hETS6ll9IK/YAAACAASURBVK0ZvcXYbLkONAAPLgRgaKBhmcHMWYPTqYZv4ppMPtW5JHkqjdrr7Tj6JPz++erdUdsbtqP/AQ8sNBioAQ35bscEx7mMyh8fKmhhwpod0N9WPltOcioXjpVTx1L+RGpWGvT9ueKUNjjuB+I2gQp4VPuhlx2isQ15puSf3DhbWvVqABtD21xbWxuUMUocOHAAzzyTMrKeOHEC+/fv7y338MMP45d/+Zdx3333zVWvZycuzFjmgTz04N9o1e3zGct0xhwcnBpEKQeqdGKLOtNBcXkZ4HHFPKh55XSZ51+TdIoDm+E/G8AZwKm2nAOrUTaIqgNP0qF3Nnb2exImkVJVgAJzB6f+mW32n8+rAA3xbYiEqpRyBeCR7WeN4RAGJzNtEuBMJjfLjlkB4nrnq3gu6vM4NC87Z3HZ/jMrc1QQL8Vo9K7lCxDwb9d49baARehOu2YCnHP46le/ildeeQV33XUXxuPx0CaWqs+xCOtw9uxZPPDAAxiPx7jhhhvm/o5FZVREhH95KE8GU8syBSDLLCWhsxvJOp3KnATkzITuEGuQoSPrXKtpbfRvGLShgZtYoZf9OW1dATK6ceaR0IAD8AwH4MGCjH51rvGZrdRojWNCp7bduSb++2OW5mugI/KrSciWpfc52w9n0DkTf3vmVSmOC4fX1uXgYig08IiZrCAP57QMkAOO8txycd5rYcizILO8HK9GGZXEmTNnZhb1O3LkCI4dO4ann34ak8kEn/70p3HPPfdkyxw/fhw/+ZM/iU996lN405vetKn7vhOLx1Y/4DZLprARWdKmBzvwQEeuBjzKkeShdaeFtGd5EdN+W6IBh1NAQzqxzoXpzneQ43zVaWZHoVOdOtFZOj/phFf+SXXaE4MgAMMmViO8TgMc8u964GNg2QxodMV35ftCGTgKR636mzj/7eFY6eOTHbtwzNlRdqyzc1Ccm9rVkJnIK+d+KEqAUV5rNVZj2Et0YQGNzWoDtlo6tezWt6WMSjo8bdvi6NGj2Lt3b1YgbyiWrTw+zzriFbntttvw6KOLFcJddL9+9x9+Ir4fyjQlIEOHGL+14VuW9Z9l3dRprm07bk/WV53QktUAPJCxTGjU6Zm4BruaLnkmXIOxsVjrxtV6HJKFKv3u4BkJAEav0wZfhXg5QOjJntrAkIjkSm9rmllO2A3/e/x3/vfXT/Cnx1eChEkBrsJ/oY9bLELHAMAYRVlUOaKkJVNJHyWyKgEfRHnmKu3lyDw8A7IqmfZPb/owWgf83jf6sqpXA7MB1KVP8xT1G41G+NjHPoZ3vetdsNbive99L2677TZ8/OMfBwDce++9+M3f/E185zvfwfvf//64zpe+9KVN/w07cW7i3IsNxLdx7qQdjOSxy6azm1tP7tiiGcqsBIcGepCHs7avv3x6bjETXHjiaAkVss/915SNyqBkof109Zmlc40+4FAmcXIuSKZMZArIWYC8lIoAwDVgCuCDPPPAxl9HrM1z+iFYHGJtJh8EGq4Nr4rVGGIzBHDIf/xNBdBQXg3WQCzui2KE1HHOjnfvNa0rrIWeN6tXk8mGpy0HB5fJz6bfP0O+qHmTGcwf0++fZfwa84IJM9B6nY82DdimYAPwHZUvfvGLuPnmm/GGN7xhrnWWYTbmqenxwgsv4Iknnhj0isyKRWRU7z9QzzZZshlxupJWSVsoGaVQLGeZ89StSECizLAkofdbsitJ1XCfHtfhZ96oqn8zAfAgQDwSBKAhxpodYWz6PgyJ9W4cU+aW4ENAS/lZjN9D2xSzuV7fsn/vmRGDJrxv1DYIjIk1cAgpeENqSV3QL2OHwmsTHsI932FclBW4KL0fedpcg+DfKJbJtkfzAw6/38DYAL9244d7Po7NrrOxVWCjFvPIqADg7rvvxt13351Nu/fee+P7T3ziE/jEJz5RrrYTF3gYqvvYBpf3Kv85ljOwmz6Cen4S83JIgwHAy31gstStDg5ELnvAyJPEQdhX39AwOIySh7aI8mcRkKZn+8AER5R1WONoO/rSViCN1EfZlJpOIhFyJjAA8jCUzrjybQSgEdkNZ/w000FM49G74ZBeMQA40oErfmMBNmpAo2Q1nM0+U/wXYGFzv0Zpgg/Hp2cOZyWrclpOVQARUJRJ5UCxD/TiuY2/MWc35DqI1w6rawd9QOAGUuFrwH6hsRjAYkyGmWPZjUo1h575mxXbRkal49SpUzhz5gxuu+22uYEGsDXMxvHjx/GNb3wDhw8fXgpoAPPLqARoZKlRkQMNCX1T62jVhJjqllnd+H2p1BAQ4pC2tWNG61w2SmHBsOzi/hkwJq6JUqrO5WlvmdOtJP6ISfjXXgnt2ZDie/Iw0p4LIJdGTewoFvLrbJNJt+S9SLGAnAmZhPlrA8UGmwhSXPRiaL+FDi2pYvUv0iutZ03b8uv6c5WkVXIuS2lVmWJSy69KCVYtxMfxa4WPY7PrbGwF2Bi6Vtu2nSqx3IntG7VR/cW3YarvdUiHQUYzp3UOCE1Y7nw/ovvPHadGhWsjxN6v4QY19bWp5QCYlvBqz4autaGlOCWrMTTqHk3QbMBsUPo2WBrCASkVKbZAQEhiExTLkIEBz0JUJVWz/mcADe0VyfdlgNUoJVTM0Ryu/RrJ52Lqx3AKq1GeH33uWHtvMP05M3St+OnD15i+Jl2VwTjfwMPMZDSkbZh3udnfOD0ovm4d4jjfLdmmhYyonjx5El/72tewe/duXHHFFQttY97K4zqGDOLMjK9//et48cUXcdddd2FlZWWh7ZbfMWu/SkZD6/LjPiGNHpTyqk51fq3qzGoTs5+XpFG1jpt4EFrnqulxLRhtaAD8PvoRrrxzr8zbYboNDdlaN8rmS5SAQ79K5qm4D4XRu/SESAi48MyEr60hNTp0I9uruWFNBCBd+B4HoFOPVAuOx6Jl1wMeAjA0yLAF8BBTefR9KEAoW9N+Dlucd0bu13HxuxG3MxQ1wPFqkVENxYVS/Xwnzk8MnX2RI2z1lTjUsVg2NeZmxrR0vLNGjfWIdGqXApAA5yPbGkAg9fv9PvQlOi6MnmufgM6SxHpa4T/IfBtcyqhkJ3MpVQQZXes79t3Ed+jtepQvUbeezOJDgMOuedDhOji7lv3LdLZrw0BDgE23jshk2HVQN/H/zoK6NtvnqoSqU7+3cly0z4XDM5CLY6yPvYsMR/+cySFl9XySc87ZPO4pMTRDNi2mXYsXQp2N832PD0mrzs13b5NgZhw7dgzf+ta3cOTIkYUzOAHLZ6MqgYC1Fg899BAA4K1vfevUGhrzfse036KBRrmYHu2Wz8J4tE5uap1dKmVCkug4dXbLVzF5x45xMWLPYLRwsXPtsu36TvZgKtvCKzEZAAUSmlkQcODgwYSYw7VR3IEimEjf2WBiRz0gUXo6SjAnYGfN5owIwQMl+a0dOAMd2TY5FfHThfw0y5FYiH5WLwlhOzToiOcG/vxblzfmmwE4Xg0G8VoMAeed2P6xEenArAe34TkYDFrs2VBKL7ZyJLIWw1p3F/7989OFzzLynKVFn3KvxcQXhcFYRsb1e7/d/ih7aRJnZ+BsGiBiR2CbwEfWye7IJ5jiADS61FGXzntkN7pJmO4BBzh1/j0AWQPsGtCFV3sW6M56oMEd2HkwUftnF5axa0B31q+rtkV2LX1Pt17IqVzYt8RqJOChflNgNdDloCuCCzlGclytiVKr7BiXTIcGf8X5iqxGNlinzn/vesv7EvVry8brr3ptnmOQUd6Tixq/p7UJ0pYYnv5c3AiomCah3khsG8/GiRMnYK3FHXfc4QuoBRCwSEd/M2RUk8kER48exdVXX43rr79+oW0NxZCMSmpoSJSGqzLDVG0ZXcVbj4wDqVNbhmWO3oL8+wIzoh4sLjYQOcjQpkTrDMbBX2Fjx9+gIWlMCOvWYGTSNoS1uKjJCxqlDFbeS9EDCUzRLK4L+omkitQ8By+Bap23ZHXBt1GrtSH7WUbLUssj/NbQ8FkATRjNMKB4zPK9nX13MzOcdPDZG+EJpM4l9RoJp75H/Bms3st88XFM83AACXB8+PO/dkEzG7PA0A6zsX2jLFgK1J0P4icb3I66V/vzZhfyC06q2TtcWY+j6H/6khjYv2XDG8WLWhARXNRlVLVaGy6+TyPZjn0fPw54kJrGwnT4NpdD2yu+AOsMXEj0Ufo2qlIfR3C2gbEO3DiwbcCGwR2DGgfuGmDEIMd+xJ/YFzDqOsAYwBhQ1yK25qbxnXodRp1b0/iyG/pCMwBsBzj//GIzIN2UtLbi33CFdEoYjW4dZOX9xDMu3QTkHKjrgK5NQMN2/rdELbTfL2byv90ZcNf442IbDyxsA2cboAYqCnAR5W7qHKVlEsvhfRwCQsLPKwZEs8/qKiuZjaqMasq1OR/wWBSczPHcILO0p2Ke9aaZxmcOilSee1sxxLdtmI0DBw7glltuiR2GZc3eGzGInzlzBl/60pdw4403zgQay9TN0FGrCq5DbtYoierN52xEWwMNGU2PyyIfYQcQZVK+7oaXAgl74dfJWQxZTnwLEj+x3z+WJs5gYpsoO7JBumSZ0KmsGAzKGAzxbkhMgkfDH5NUiM86EwGFdSnNbq0Anw69P7KuMCMM7x2RYzjJPCD+vQnr/MT+pmcUtVFOlppHYT4cECVWcnzF+6LZJKjzIo13CSB1412TVen5YpKdl+EQENIQ8Ftv/+gFDTaGCvoBO0BjJ5YPUxl4mJUxZh6Px9ZG6sqlSdM7WdJRK1OJOlj/Xxhyda0N3SlMbDpn7U9iNdJzyLGW4OjXZD4WUMJZR1dYjuTZc67pp3JVo/hgz2ygU96Nzob/Lv77zrsFwqtIljJJlQYD3XrOcrjOv+cuMBaVfw7LuC5jM2R7g0BD2A3Zt67N9j3+HqtYjS4wGortKY+RCzWn9DGNxzg8XwVEsDo/rjh3MSlAPLcJaJbmcHlOpesmPC9DjQ0917GN12F+ldvs2s1nJiaufu2fe7Z7WrtQFvmrtTG1tuhCiW0DNspOxFbXzNDrWGvx0ksv4cEHH8Rtt92Gffv2TV1HV/heZr+GgEaUmXJ+mwzJpuL80CHtuF8/Q/sE5DtQrKtDgwwBFwIw9LwODhN0aAwrNqMe0uFf65qqX8PPU4AjNIZ6WRsaO1/3guI0iTYAkIlt4nupseHBSTKHp/3y66/bUQbmRFI1CewIAP87YxOpj3E6RsuEsE/6VabXjOS1jDsloFgWcBgAH/kH//tSv6MWW+EBqTGdm51Faycu7JC6MYPzq+ukFaZJl4bkDWVHYSgWAh6Zznuz7pPQAQu1NoYAxvDarpcdqMxIlS+f5sdOZ+HbkE4qkIBHMo0ngCFeOusMrCQGcbn8J3aS9Qh+MIpz10RDNDooPwMnZiBKkbrAHrSAeCSUhyNKqgRslKBDQISAD/3f5aBEgwy9zZh5SgON+N4FFsMV+y49ff/7xDAff7tVx6VToELJ0UQ6ZQv/Yu2cVM9ddm4p66+IXyNeH3FwzP/XMlHNW9xPA48SxmxOqHtwAQ9GlEYt6duYJqnSbdWiDIaky9+s2DYyqjKWZSnatl1oHWMMXnrpJRw/fhx33nnnzMJgss4iHSkNTmpAow8AEJepyabiPBn1Rr/Og/4s63fahBznyfbkgaEZEf9eaDxpLPRZYSZPV0PadU91N8SAcbGj69PN1o9PZBZcg5VAY2uvhUVeZ0O+VyRVEzaB2O9H65oo5/LgImdZ8v2gKLkCvCSrcyaTXFn4nPMadESaMzzYSaXVNETh/Hg5gVG/19fTCMdd5FTsj68B4Ch1XbwUSkAgBRlbOPehLoeWTC0qqZJlRwA+cMOHq3U4Fo1zZThfW1ub677diddOULiXZi43Q6Lg9dqzOzOGDOw5rK1RxlCtjf5yPv2tYwdCP/2tDkcOPhtQAweO0ioX2irHiLWVoqEY6VVGwZnTcyrvxMooeC7jESmVdQbGuAA6QqfYNnDWwTQudaI7AyYDbghkDdA5n57XMcgGdsOQl1LZUDTPGHDXxiPGEGmVOtfGAtgVfxMBHkCYkB4XAJtR3KaOWA3c2ex9zDpVYzSijCrIp1xgZARolKxG8KhAGI2uMNGHZzFH4JaARQQZxbH3HsjU70gARPVHlF8jO+fqdtMZybJrKjJmw/eUi5XYBSjPC0bOPZOxTMzygMzr4zrXA2zbhtkoYxmWYplsVC+++CJefPFFHD58eO4Oy6L7JsvXPBo6aiPPyZCVZFMaaEjoCtf6c/2Gl9fZQMPCoYVFC9u7mTuy0SOxXrAQEq1r4I3cybA9cQ3WbIOJNZkh2+9D8mzIe5E92dDx99XKm7h9HcJq5BmxjBr1F6O5gXUUG0+dDWso9DGxcL3jkSyWKUWuLTJVdUGqJvO0mbxky+QcSpri0sOjl5aHt55XmsbnCRkNef8NH16IvavFuZJRnTlzBhdddNGmfc9OnN8QMLzRZ+m0K6+UMOjPQxKqOIIZOgtDbAfR7NSY5/bRPVtepXXywuGmtZ1q0aRAX/480kysniYSKem4aqbDIaUzl+Wkjc99Bb4TLWyHlgqBCTENrm3iCD5byjM1OU5yKmE2RE5VMhylpMomRiKTVs3572VRwowMSKfC+1hTQ+RTwnB0ts9qWEqMT2B4pLYGR0YosRiSkWqWhEo+i+8xAkcApV+jPN+5nC5cK8LMRwbMxetKm8M1E6evzUWu5c2NGVLKKfe5tA0xXfZgOu3hdme6j2NjIW3rIszHDrOhYpFsVMyMr33ta1hbW8O11167UI7+RcHGR/7ev4/vS0DhiunSgKeOY6Ko475noCCX3wjASCPiOZuhqfASXGh5UDlPsxsd2VgUyzoCjDdid85gFEaGLBOgslE1xqUifwVLMXENxmE9MYYDiYkw1GclDPll5WapybNaZyAcQM0Q7ooRhLVQANDvkwAbUvviAZaOETeZ4bQZaAY6dpEGFZMlABg1ItmFISVD/qEsIxc20BLCioiJPLEYnBgUxWA0JcNRgI+yoZHPHHbvfTf8C3zwcz+Pffv24YorrlgYOJwrGdWZM2eWroGzE6+u0MkT5gldfJO2wHxNMJHrJTTZKCyhAWhAb34eQiqKi2F82oixjEAzHBwZNCzTTGy/HLPv6zNlAxy+oxk6niTPM4JloAnPgI4JjfIGWDZomLNOMIcBJrIMIgPDDs4a//y1DcgwnGGA2EtYGi+vIhOuEJ8VBGQC0JAwiokwTTKLIzAc4T05Cx6t+HnGAtwAdh2gEViWMQP9jcBmUJBkxfeZXCtlwoqMhrAZ8m+VT0NYjQ7en9E1ntXoggG8M3CdSWyGM2CbMnk5Z2CtiTK1EtRJhsfon0FiNmw8LwlUcHHOS7+Gv44kA2Pya+jra/BaxSzQcf6CyFSyyjXq/TSQYLLXub9zhpxq3nU3EtsGbJSU0FZ6Nqy1ePjhh3HppZfihhtuwCuvvLIl3wP0M05J1AaN9Wg0gCiRqRmGZb6WTOmRaJFMCfAY8mqU2SFq7AYATKjIGiWj/OwfsYBnCDoFFlr2t11DjEmQVpVyqLh922ClsWGkhTAyLoIX71VI2a3kewkc5w3JqMSk3lDfWzJkLF8LVckl2gA0fuwNl+DPX/helh1Cgw/DBg42yqwALZ+ieN5K0OHgYMKxmtYwyLnsGBhROuZDgMNGMLLYCAaR30ZDwL/9R3+ID37u5/D444/j0ksvxb59+/C6170Oo9EcTNA5lFHtgI1Xd0yDAbX2a9Ft17ebVxGn4pskO5WuIm7QTxRB1MzoDOXb9S3mtGfboqCoFNKGYBe15xFgCOAIYk0ZUXawIBgQ+9HaKJmCz0xVevZc2MuUjYp955VkmgeFHCSfHmiE50Xs3FJs7xvyr0QmDE75jjGRgSMGs+80W2pgGgeyDmSM/03EYMNeXiXZqYAkpwKH54M65iORvAJwFjwah/cOGI19p3+04gGBMWDTgEzjQYaxIAv/3q4Pn0UXvi8W6ksF+yKb4VyQTLmUeUqARjvJgUbL4AmSKdym7FOu8Go4K/6MxgML69kf50yUU7kA5rxqIJ0LDS5sPE+SWj9lp+oCgEyAIyU5EQLGXyvJr1GCDAcHbQ7XWahKc3h2jw3eb4u2FPPIKHXMYjv6g2HLVA8fykC1Udgw1eMxY91tAzbKWEYSNQ9AWV9fx9GjR3HttdfiwIED+Pa3v71loGYW0NCshgYa0eCr/BlADgRKyVQut8rZja5gMzRTIVGCDulEa+pT3xAWFj/1+itRPhQ71aEXBqN8bK7ZNP6/0qRjv9aN4mcxczPkIZSmSfiONMX31pW/iRRLYrK0uBKMwICEeXrfsm1JgwsL7fVoKg1J6phQWJriMTfw4NEiAIviDo9gMmjOheEQIOkUw+F/N/cAB5A8Gmn/AdB89KtRQKUxwP/6w5/Cf/zmv8LLL7+M1dVVfPOb38TKygr27t2LvXv3YteuXdXtbIWMaojZ2PFsvLaD4P1btQQKOqrpcuEHCdJ71wMeZcpbYQh6+zFlOhjV9LeLsjUpEkOahwxjNL1226/Vn9bbAnlJi/g2HAgNTBy1dvDp0+W5lfT8oe1gb39oGt8uN00a5bZMMAF0WCaMwqi6YUbDHKVVhgzINjDGReCRsRum8e22MR4QtCMwObC0OSSMlgMb9gxHBvJS2lt/WhxoNAqAQ17HgdlwHmQggAxhROSziggygAQwgAQyYsE+m7EZpFmNEmgERgMdgdsAMroGrh15r0Y7iiyG/2+qrIZTxvAkYZPMkSYHgdqvgVxCZR2q515LqMQcrutrxGsLybcxtZBfATz604bWXY7BrA72hbS3ixb0K6eX91ySZU6XcM77zCb00+RvZmxbsLFZBfp0vPLKK3jooYfwpje9CXv37p1rnWW+B6gDjZK1KKcBffmUPDy1GVzLpjho/mv55QVkxA6ougG7eMOq0SoSLWXJdihGAVYtRzDk0DmCBeGipmAemMCBUWjIf/u6y2+niW3gAOwS+VKQMrEjNOQyACHMRGROpBZHaBhNxsqI/MlAjOQlk+EbS7/cmm0iWyCfgcQKWM0mZN/TRcDhAkAbcag+TjZkmgjMBpIkTYM9xxz6DElapVkQq0CHtqtqWZUGHA7AiCjKoXSXpJRaDTVOwm6A/MjlL173YfznE7+Nyy+/HDfddBPOnj2L1dVVPProo3DOYc+ePdi7dy8uueSSyFKeK2bj7NmzO2DjNRC1WhvTpg9uB8O1NnrLsoEN97WhZjDrXAlOlouNbYPBIMVmxOmKzZAODrMLoMqbxH0dkLy+QWI1vJRKD1jFDiWQpFTIO6AutF0i5/TAwktpdCrVjg0adgXL4dkNZudH44lhA/BwjU/fCssgSnIqktobYnKTtsIwqOPQaysAh0iqItBILAebAA5M47cVQIY3kbdx+xGAoAQaLk2LzIZD9IloNkNnn6pIpyS7FlvJxGWClCp5VYTdcIHJkHS3zgbZVIXVYMVmMAOdVG0HsnMk7IYHi/75mqVkR19CxcgVFI44u7YADRwCuFXm8BpoH06Buxy4SLHx59RU+ZRiPGYV9MvW2yQJ1GaAkG0LNja7zsapU6fw6KOP4vbbb8dll10Wp28F2BhiNIC6fEoAhR6V4/hasBsFo1FetpGIVCDDckrZyuDoK5jnBtXgoixm5dh3+MfK5zAyDh1T7JjL/EkABkPVxtdsgxUjdKnIjCj6PfSuau+HZiz89yXt7UhlFvGyq9y8Lg2pDp1dK22TYhegow4jzm87C5sxHNMybfjl/WN+BAPL4r9gNUiZgFPLHIsHsspU5b9HwEmSMZhAlgizZZ1nJ6QToH0Z82SnEjnVLkN49/7fwKdP/g4A4OKLL8Z1112H6667Dm3b4jvf+Q6efvppnD17FldddRX27t07tS7GMrEDNnaijLJ7Pq9kSk+3YBgmyLiGYTP1HhaWY6jAHwV50lxBZookZDPDtwgCPIaXsiA2YLIARlH2kqRUybfhwjiw9ma4wN7ko94iqfISUArPBxkkatizzURAwy6wHAI+PLtBxB5oOD9q78gDDUec5FSNBZsGzoTnorTjXZP8GwB6gGMUmAzAsyQQ74YHGGxceO/AxkZPB4zW6VeyYGYyqgJkZMZ0DTLqQIMnyacRX7smGePDNGE2WABHABk6pbCY8CXZiryKUV/OC8O/7zj5M6JvQz6r81xKqLRfQ7MbunL4UH0NHQlgnCPfxpwpbGlKoT+ZPotB1MBDamwIwChZlnmlVVuVemLbgI2t9Gw899xz+MY3voG77rqrl7Vms8HGENAYYjUYIgESPT731knyKo7ry3vxZoiUqqwBUZNMteHG9jmu0/JSaid+v3rgSgNhYNBiAoLJOqm+YQKcNWiCE1ku+nVnMtbAwTMOK6Z+DIWxYAEIFW+FMBUmLCcgQv9SYTUaYnScbnudGUtYAWbCelhmzZrBkQCLDpY6NOHWE+BhM5pX9sXABTN9p86D4VDRPI4phuPCCL4LkcGF7kyQMZjAbEgFeKmo7T0cOeBwPVN5+o555VTpWHvAcklTX2s8HuPqq6/G1VdfHWvWPP/883jhhRewvr6Oa665Zm6fx7SYJqPa8WzshIRRKaSHYh7TZJJUJT6xBBia7dDpb2OHnqfJRDaDDVk8NNPBhW9DBqKkUyiVhoQHiUCDRY4LMIlBnPPOKEHJbryUStKqRoO4Mon7jq43irsg8WnIJdN46Cwb42DJAxCiJKci20SzuANgwnPIG8RlbwcAB+A7/I1vo8g58GgMRKARQAeQWI4AMLgYACHdNwigIk6XzwI0hNEo09tWgEbVp6FM4aV8SrwaVgEOzWq4kJFR0t2KUV+eh50yj7sgZ04MRi6hEuVFZLw4XSNydWk2o2YQLzOiybWqX/2Hc3HPDD8hCU0PsOsaG2WWurzQn2Sp2hgkoPBsX9QsvpHYNmCjjGVqZpQ+D2bG008/jRdf83N7IQAAIABJREFUfBFHjhypdnaW8YYQUXWdaYyG35/0vkxjGmVRapqWTgHpNdXakMcFss6sZZc9TDukonw1dFw+DIdG9Sy62DwzHKwDxk3qtAOIQMPvR/JM+P2lCBwMccz4JD6NiWJJErPjH0xjJceSbbFsU31/LSaB/agVH9RZrEpWYz2kDRSpVusIP3bFtfh/vvtsXKZTxnkTH9QyYmHDyGl9hEMXQDJB0OABFsVGpANjpM6rfEsJOARQBMFVuo7g2QkHRNZjkRA5lUizfuHAP8d/PvHbg8s3TYM9e/Zgz5496LoO+/btw8svvzy3z2Na7BjEd0LHrFIaFOrYxHtMZaYCcq+GfE5+q/S+/jkZxXVGqvp+9H0cs03i80YYPYhcpkTwbYROPwVWA/IeFS8HuyilAsJzgP2r4SSl0ilw/Wi2z0oVAQWGpVR5dqr0bxzBwLMb1jk0JozEGwNyHNkNIg9EyPnBJtJyqjbMB2DQwWHkwZCnU4TDCp19gEYKcDgHjBr/yh50kHMBWIhB3Cig0UWQMdSmRtChAYZ6n7EZAjQkRW8rHo0ENCKbYZNXw7Wj+FnLpwRMuAgqclZD0ttqVkPARGQ2etKpYQmV93AIwEgSqphYIEioogRb+TVqKW9lnn+d169R9qI2FrV6GLNSWut7qjSGz5NuW/ptvWUVqJgHpmwFBtlWYEMbYZf1bMg6zjk89thjYGbceeedg3KOZb+nrEHw/gMfmksXp28PaZRLn0YNaMhDUgMNiQ7CcnhQISPmIpvKgAdJFQgZsRIWQsuL8lEHDUb8g8fgx6+8FoBDy5IBibxcyoZsVMbfFK1iFrgAHxITm1Lfrof3wm6k30/Zq+/8csx4BdTT32pTuCkAh/g19DbWwv6vK69Iq9YZBTBlkWfnaua4Fa1IL8gBbBLAiIAkeTk0m+HXTZI56Vbo7kX2noGaYVxOcQQmPNu7ISHsxhiEn732f8EfPfuvZ/5eZsbll1+ON7zhDbj55ptx5swZrK6u4qtf/SqYGXv27MG+ffuwe/fuuQoUWWurKap3ZFTbL2b5MBbxacxKf6vbx6GMVGle/VkRMz0V6W/VXqTtVqRTySQuy/X3c+6Y4tvQ70vfRkMefAkYkXobpHiNUkpFAVAIkLDM3vgNP0hhOGWhisbxMI/EJO4MjPHAiBzDkkFnPefSqTpMxjAsMUwEHk1IpRrYCONA7Ui1jR5wyNH3qbIcMPLfE7NUOYuMAnbOS6uM8ccxGNAFeADeoxFZjlpov4Z81v/sEquhQUbo0UvWKfFoCKPh2tEA0DCwXQPXjZJ8yiqA4Rp0tkEXXp0z6GzKRNWpWlY2sBoaDCbDuGSlCv8uJahJUqrk/HHZNZP+pL6GllDV/BoahAz5NZYPue/zjn6+iNYeDEmmgl9noO6OX6YPLGrz6usqoLEAipjnmb5IbCuwoWMjno2u6/DQQw/hyiuvxE033TS1I7NVBnEdGlDIZ/3q32s5k3ovZqsCZIjB0YEjkyFWPz8/sRs2jCiUxiRtDJeGYQhkpOUcLLWx497Aa3H9iJUCNc5/e2M4Gs6m3VJrtsFFjQ1yrBxY1FgJIo5ZpNoAJMpwTEBgQLRfo+P+9bBmDcZGH/e8Hoj3bYT1K2wGcU4TywjiCKMgm0rH0vtgFMsUgAfgJW4ECmNygc2gNN+yyzwcjgjsHBoitAw0lKRhJeDw+1YfB61F2aEjJP/GP776Q/jzb/2bqeuXTMTu3btx/fXX4/rrr0fbtlhdXcVTTz0VfR5Sz2Pofp1WZ+Pyyy+f8Wt24kKPWvda2AsNAZbP3uRDb0sGZWoZqYbX96zG0hmppmx7ozG9kni66zPwgSRfkY6PY+slSgFWRHZDAQ1pW8RL1qjOqLQdYgxvmDOwQYyYjUqyUxGTN+Qzw7CXBpPzbIUhRtc1IHKwRSHYEToQNbBtuiZI9O+cziQ5Ao2sf1iNrD/zjj3DYZCDjs56pkODDEpggzTIKAFHJqNy6VUAhvxXQAYc+lmntHSqHYHbkZdOdSNw18B2DawAD2vQdSPYrvGvAiy6JsqnYrpbKW4b0sPrfw5eDQ0s5FyWrEY6zwwp5Kd9oqlei8thB+eMhU5OINdofu3W41xUDq8xGvNkqJqV9rbGbuiB3436L6iyrdrjdR7csQM2VBARrLX40pe+hOuvvx779++fuc5mgI33HxiWT9W8GoCSCSn2IqOfUV9vKOSG66A7tQlkODAstRnA0OCjpp+UaKmeS7y8aCeOsGI4kzUxh05w6MiXfgjt21grWA2RTXnZUM6KRKaiqBSuwwEYC7MR9qkEGtogLudqTWXMWg9VxvVv9Vld8kbEBgDSB3ThHMBEaRUApAz+FIskmgJ0NGG+mMd9V4FAWcYpAZ05s6EL+nXMGCmplT4+huuNjw4tpQI8oLlig3U2xuMxrrnmGlxzzTWw1uLUqVP41re+ha9//eu47LLLYj0PDS6myaiuvvrqmfuzE9s3UhrsesejvMRrGam0Sdyv42HJtIxU4l3zAz4JxngG0y/DPOM5tmkm8WEpla63oaVUOuWE48BqFFIqx1IDHCGTVPAJIrAPHFQJyD0bwm40obM6CvM6pGkCOEjAhiNY8pIqSx4QkeNQyJRB3UjJqRqQZXTCbJCDC6bt5LLpgodjVO+4MWdsRwQdI9WAGqNew1Ziet2B7qCcTw02nAsPd/UqPfqARXqyqRJoiEdDAQ3xaQjAiJmoArDoulGW6lbYjCSpoozNcAp0dGG+FGXMmA2XBlJFK9EpVkNLqDJeoyKhyoGHzeRSpV9jSyVUc5jDa5XDYxpbanpMRS0TVW+ZygBoKXmf9pje6rS3wDYHG4uCgNOnT+PMmTO46667sGfPni37Hg023nfth3xnbMETXcqnBGgIaNCdyCShcnFaKqqX5FDCZtRARi066uKoA4CqIbymK9bAZGIJDQErTerUyz6OidE6imbvttIOrFmTpcyVdHtQ7IYAhZLdEN8GoZ9SV6JV8q3WmV4TpcGGZMzS+5bmBTmSrBeOizaGN6hXodf5xRPo8Ov6Rz0BSOlyJXWuX5fRBMAh5nH/XRRBhP8dHjXE3xc8HbLPLnyDBiIjDTy4fg1rdsN7Qvx12xDhPft/A38cslNVf/ecqW+bpoleDmbG9773PayuruIb3/gGVlZWsG/fvqnZrXZkVK+dqMmnMqZiiryqX8SP4vQ+8MgzUuVJp4clVdokrtetsRmqHGp9h+cOaQX1pFxKVXo0NLPhwYQNpnExio+VlEq4nlxKRapdYpbBIf8Ms5FZFaAhmagQU4kLuyE1N5gpeDxMYDYMyAEGXj5F5JmOxjX+c6gsDiAaxnXkacKDh8NRklOVsirDCXSw7CwqgEMd6xkyqnCAK0AD/ju6BDLg+rKplGWqidKpEmi4toEVFsMaWDuKlcLFv2EzU7hmM9I8zkCGgAgEEIFg4M9ZDZFQWUZkNZKMKl0rcg1qCRUAOA0sgoRKX6P5VV7cJ1tmFO9XCJeoTTdD7EZPLlV4OFiYDM1uBDVHcT9Py0SVXY6VZTYLhGyUZbmgQssnFvVSfOc738HDDz+Miy++eG6gscz3yDrOOfxP1043hNdCbtT4Wb2vGcJLb4ifXgcaADITo65u7cDoyKKjDhOa9JiMtFyemk5Hi3V06GDRwjGhlUEbUOyY6/S9k8A0tMFcPRS6U98qkOGQS5/0P9S8tgAhLVNvmmwPQBjVIXTO71eUtcGzGgAyzwaQbjTrCO+65CZ0xZ8ct446D+LC6KD2djg4vzR1mFCbdWby+iVlXo7QaOu0x8JkFamQ9fWSVYNnjuBWpi7TVJN6HRvCT13zPw8uu0ydDSLCFVdcgZtvvhlHjhzB933f96HrOjzyyCN4/vnn8e1vfxuvvPJKts7Zs2dxySWXzNz2Zz/7Wbz5zW/GwYMH8ZGPfKQ3n5nx67/+6zh48CBuv/12fPnLX15o33fi3McQK2dCtpZ5vEDZeuWIY0XmkIpx6dSnM3TXqkPiWY+aLCPXkM8nbpg/fOct78xFbbwadAJ8J9CnJVXTMhlMsolHfX6QPsmIt06P2oWBIanrIB4+PZIefQJh1F1My1bJfxyH4nSh49x1o8wE7VzKymRrhmqpsN2O8k596+tWYELgkAEqDuF3DEwsMOmASRteg9di0tb/O5uWi+vYxGSEauDcwX+nNVE2lfkzJqMMaEiF8Ag0KoZwfXx8Ib86q6FN4fKs1dXDhdWQNLjxHEKdXw6AQ2XDzK+LvICfSLEl5W28FtX1p69LuRqrfo0NxaJ+jeXM4fMW7psWpU9jViaqrUpQta2ZjXlBwMmTJ3H8+HEcPnwYDzzwwELfs+jDCEgAZd5LZlrGFCDdvLWIjXgcA8uBhpjBgVREriMbR7KkEyuiHQmLTnVuE7iIo/ADgINh8d/sfounwItDJ/U1LIvZORnEJSQzFADsMnq6l2D545VM53IM/G9O2xKplfg2bDAl6tD1OOS1rDIO5AZxGfkX6dQkgJERpXobw2lxPYNk4nFv1Gcfnm1KDY4LZvEGTazXIaxU8uBQzK3iR5IIIzKwgfWQoo7RGBm8HNrzGM9fALNy7haRUglKIRI5F7BiDH70DR/EZ57/dwPrbazl0z6PRx55BCsrK3jyySextraG173udTh58iReeeWVmcyGtRYf+MAH8LnPfQ4HDhzAkSNHcM899+DWW2+Ny3zmM5/BsWPHcOzYMXzhC1/A+973PnzhC1/Y0P7vxPmPnPmQwQUO88QUna7TKJ+Cycb107x6JXFtEgfVDK0meFC2akTWR+7bkGriOatRk1Ix9wv8AbmUystgpHPpnyokI9nKKB7ZDQbISSVxj7EoMKQlu+FlVMks3rADsYFxXMipEosxAqKHg4iTYdzlT4PUNjo4R6DGwmGUfBzGeNbBOIA9i8JBVkXynDIIjaX6PC2isodFjuA/yvvOP5/QEdgZDzIcRYAUC/bZBi68d+0oYzRKcBU9GtZLqjpdLZwVeOO+KVyzGlaxF44l2xTQOe3jqBjDI+gIMKOQUKVrNJdQidRwqoQK0h/R25nRudqE8CCjMjhAiQHR5vBplcOTL6Mvp6plouozHOcvXtNgg5nx5JNP4nvf+x4OHz684Tz+84YxBv/qbf8+jJzNXp4oH/HX4W/QdNMIm6FZjXKE2i+X5tnAWgA5m2GL7nfna4pnF3gNVEwzR8rvAbwJ3BJwUZP2LwGOfjpa7YUAUmrZFePgmLBmCWPD0eMh4ELLp+S9ABkD9Ar76ZA0iw0l03pZ2E/2TYDMmjUw4CidAoCWEaVc1gETnAHgpVMCLuRzhy40GNJR6Y9myDE2MDHFJIBgffUP9BE34Tx7yUJK5pjOvwZJkFSfUmk87LMLv98hb6xKKdWsiA9sEimVv64vNyvzb2SD8frXvx433ngjrLV44YUX8Pu///u4//778dxzz+G73/0ufviHf7iaBvf+++/HwYMHcdNNNwEA3v3ud+O+++7LwMZ9992Hn//5nwcR4e1vfzteeuklPPfcc7jmmmvO2e/biflj2YxUQA5A0rRhk7j2bfj5eerbmqRKfBtzgYsN+zZESqXuci2lYgextJRZqQAvpWqorLlRkVIF4MHFHF8Y0cs6LTOMI5DxndSmQRyAIvYFFI0ADxbQQSBnAOMi8JBCf+WJijU1ykMY2m/DFk0YYWGRvzLBjAlg6wGGbUDcwTgC2wbUWA8qRoF9GIU6FwZBTiWSKn+ss/5k2QNU+5vVo3PwUimm9L5rAA4AI+wLpBp4MIKDKYCLkHWqHQWPhvdiaKBhbROBhgCMNmahMmhd0wMYbTjWXQY4EqvhyR2KAER7NaywWWFAlOOQpbAbuTG8zEKlGY0hCRVzWGaw1kZEdb1rYqHYxGJ+QM58Akk2leZPZzvKKRvJRBW50g2M/W0rGZWOWV4K5xweeeQRTCYT3HHHHecMaACYWxoiD8KYTUXdC8xSkC89NDvOgUYcLUCS1gC5VCr7vjjf+hS3FGQ9RZpWG6Q+Fm0cjU/b6G/bokOL9fhfMjVrNjArymgGJHnTmjVZx70MkS4B+phJZhMvd7LFvwvLCPMg3osuyKM6R5hoeZZLND2QvCDCfsh+Tos2mMUHatv5/R84NxYtHBxaWvfyKuo8uxRHC/2/BohyDv36icnyo4byOQeiaTCN4/GUnPg6FpFSZZrQ8N77lAhN+P/HVy8uKVw0dDaqpmlwzTXX4FOf+hTe+c534qd/+qfxd3/3d/iRH/mR6iDFs88+i+uuuy5+PnDgAJ599tmFl9mJrQ3dSuhrDcgfdjXZwyxtcjk7FtnUGVsK+WW1IBc1vXm1aXG9oU5MHBkdHslcNqaP+OapRZkLHT3bkBY3Sal8cpE4Xh1TqHtpKMdR7S4MnnVq5NuyHhGnoCJK7W/rCJ0zsdPbOp8lqVXpWdvQWe6KFK5x9F7etyPYbhTej+G6EbrJGLYdwa6PYddXYCdjzwqsj2HXx74Tr15ZXtfH4LUR3PoIvN6A1w14PUit1sL/BOC14n+COB8TiuvxeuO3tTYCr4+z79L7YMM81/pUtnZ9xe9763+LC7/NZ53yv7nrRmjDsRCgkR+rBDT8+3SMbTj2/jPlIESdMzmH/pz6xAAlq9EpWCEKC/mL1xDbHqsh0DWT9hWyv8Wu8fkjv+fCPTkjy1S+fmArqC+rTO3CsORStzm1NsmvMz1qbd+0tkQvP2+Ls62YjXk9G13X4ejRo9izZw9uuOGGbD0puLeoVnyR+PCd/64nIaqFHnnT2LtMJ9oVvXcNNPQNpT0aMfsUJaOyyKYkdMdXZFOlnArwXgy/b0lGpQ1ccb9kJI9SesO0b8rXEBqnsUk+AS+9GQ6RUbWBGRFjeetyhkTYjs55famJsqp6Ngbxauh96y/TX29dba9zlBUr1MFhjAZI8gs/3TdaFm3qpIRj31GnGA1fjTyyIQQY9pIqMY5PqMOI/UhqA2/6lyxV/TocFM3iln3Bv5ARHrGquAyCzhnl6HHZIWyIMKbpcqrNiCGD+NraGt75znfi537u5wbXrXmfSonXPMvsxIUZcuf5rCwcWD1Pwdlsudkm8SifCiZxzXLMU9zPkAkg36nvEWlVkiROT4GbftGGRmyDZIqBLCsV4Nt7XeBPjOJ++dw5JtIYAz+ARWxiG6VrkRv27ZA3gXumVVgOqbshrEaZCpcCUy3MRsPG77MF0Hh5KDmgUx03rrTnAMAmDSJJZ85Xw7YwTGBHMM6BHMGEYobEDkQOZBg0smBiz3YYh6jtAsCGQaY4d/J8KAbV2Jk0LXwvnJdLlYyGn2aSZMqm1+jPCNmmUtYpExkN8bB0VkBFk2RUkuo2AA3LOZOh5VP9OhrlZw4sR85qCLPhYYPvS3TUBXCaktEkmVSf1dASqnSdelYjSqg2LEMsvVFDS0nWKZNJpoAkoRJzuAAIItNnNGoyqg2Yw8WvQUAo1JvUHlsZ2wps6Bh6yK+treHBBx/EjTfeWE13KebtrQIb773mQz2gMTSiNkTx6z6N7uhGkCGfoViNsJJObauBhn6VG9tvQ2em8jdsG0bZgXSx16p0ZvscplluPZAI+ym3VesIuwK4kFNnHbx3IDx4Jk7mpQO2q9KJX3cmVgx3AFA8UDSA6DgfJ9Dpbx3y1LeeDel9HZzanzVLUVrk2AMNwGfd6jj9rn+0cgifm3y5KqUwaCJUq8mnohwpAA6HSWh8/DmakMOIR/78cqG3VmdHmjldPT5lrfIxlnWClApALOQ3D2CeFvKLBXDsohH+4dW/hv/3Wx/d2IYHYqjOxtmzZ2dWED9w4ACeeeaZ+PnEiRO91NjzLLMT5z969V9oui+OigVK30ZcruLbiOsUsip9v0v9DMBG34aePh1U6B3YAilVbwkXpFQI2YZSvRCiJgAPf49JgT/iUPBPeTf8c8XAsnd5SGYq8W542VTyaYisc5qcSvr0AjZiW27gM0ShAYFhgn8DgN9wMSbJTBiNPJvfYYQROoiPg52vS2QcAc75ehxsPctkOcqpyBHIcAQWHJ4jAj4YTfJyDJ0NARkCLoAAODwA0SAjgQ1KJnYFMljS2SqgIVmneh6NADQEZHjGosmK97WFTyNLf+tSAT+RT4nZv+MkoxKWI3k1kkAqVgyHTjiTjOG1QcySbdMM3HCcWwkV0GcmaIDV7DEYU+bXWAg/cFIwHDMGv8rZm5kOd9vKqGrxve99Dw888ABuueWWwbz6y9Tn2GgMplqccqLLW0iDDAPPYuhlZMRAayL9evmrLjhn1fuW1nuSKQ881oOcqovvvZinRctrAVyk/x/Z9Ta/Pef/J2onO/beBslSJTIqxxjMRiUSLMCzGzIa5anavuSp5reQ71qvVBCX1Ld6e35ffcPahoxUMoIDBC8JkEm/JL1xp75Ujsm0sCF7l2aNJKOXVaDPkUOrsoRNaJJtR4Bl0sIKiHLKx5OOiw0jjP5h4KfLZcpcvzbn1b8DSuISPgu7cTGv4B9c/b75N7RADA0izAM2jhw5gmPHjuHpp5/GZDLBpz/9adxzzz3ZMvfccw/+8A//EMyMz3/+87jiiit2/BoXeMz7MK09KE18HdZOZ/OKHPmzCnZJzMpiU+7huZFSyTLJhMuQ6s02Sqn6efGKwmxwUdopfLtkJxIZFYNj+5rqNCSJjl+n9AvkneHYWXYN2iCnsqGTHT0IVlXH7ka+Mx5qT3SdTw/rQsE7G15dO4IN6WSlOnfvf+IL6bFU75b3k+n/g+sMfU8X9qUt9lHkUlKor2t6QMNqcBHey7GSrFNeRqUBRp/dSP/pHMVz5tJglz7HDMSz3xXXhvZq+Gusbwx3SsbHnJbd6LU9T5QSqpnLzwlKetmoeM42JrYttW3OF1tVb2PbMhtlrK6u4vHHH8ehQ4emprlcpkgf4FmFWajxF6/+0IbTimW+jWKedA47lmwijE6Z8TT9X7IaAjIk1apo/T2NqXwA6OJDQ1/kTjUGOvRnLxHwDU/MZsRJGqBN4RMHrJjEFEw7bmvWYFegpdedN4lPFLshx0Zi4nLD84Snb7/lVNCuVj1clvG/sR4Tl2dwGpEHGw2N4QsSJc2zNDBjuii+t+ggtYplG3L8W6xHo3laVjLb+xHUBk2swSG1NyQTWRO3HOzlQULi4KUHIKm4rOp1LMBs1Iy4jkUaR0Fd4H/ZmBpczLvwtmt+CR/7i3vn+4I5Y+genafOxmg0wsc+9jG8613vgrUW733ve3Hbbbfh4x//OADg3nvvxd13342/+qu/wsGDB7F79278wR/8wabu/04sH7VK4otGaRLP5il5lRT3EzYjL9bXr7fh71AXC/6lQn9l1qr8M9iTtsSY0cHaXClVzSjOJIxHkwEMzW74Ymae3YgVxcnXxPCgg7wUCSYwnrlZXHzW/hgnOVXjCDAc5VRwBkYZxRGN4/67JEMVpoA9EwaZjBjFmcDGoQkyKs1ykDUwjfPGc6ZgQDegxkuqGACCvEp+AIXn6xC7kYzp4ckVmAyEz57NMOBQ34K7xg+KhWklmyEyqchsxFS/pufRkPc681TMQFUawZ3pyaeEvSglVWl6Dio7dtGrweDEakia2yLdrTaG11iNcMAyY/jmS6iG5jaQlLe9rFLFZ6OM4iZmnmx602p+jSSnSvszVEvDb2v5jqfs9Ub7rtsKbAx19k+cOIFnn30Whw8fxsrK9Mw3yzAbAlBqEg0Jye2/CGqsjRRLZ12HGMNlJAhITIYOkezo+gzTQvwCaZQhr3ztDcr9TrLfd5XVSo3eO+7frusOGIdVmb2/geCBhk57q30QAGKqWz/PYBxT38r3Ijzq+49iSanrM1L5FUrfhgAhMXRbp0BREAzo75tYv+/MHtDI5bjuZH7atkiqRK3qj19RVRxt6Iw0cLCZfApAMO538bNvmCcY8Sh+7qjDiEewBeAQ/4bfBw5GPcaITDgeybsxJKrogd0F5ICG/PGU9z59rveDjNHgYr4YH7jnP+D+57a+w+6cmytBxN1334277747m3bvvQkQERF+7/d+b9P3bycWi3m71gQB0cPb8cCa82kaWGRejb5vQ0LfowD6lcRFiqRaqzIFrvZtDEKmTEq1DLTKpVR5GtwyXBgoamJmKs9uAIR+Glydf8qGdosCHOtCS5cqi1McNOsANEipcIHQXgQ5Vct+5IhiA8kJZAAelVRY66jzVx02DiCjaTxD04R5Ddvo4zDsfTXGObC1oMbBWYZprAcZJsipbCgkKKgIHlxoADL9VChgUciomAsZlcinAgiJKW3D9NKfEQv2WdP3aLDxjIaSUIkhvItG8GAK55BURcmndPYp/c/gCEw6Mf8rTqtkNSQBCsPCcjuV1fDnrgQcA4c13vMbkVCp62kqWzHs14ifRdBc1tLJtmIUwBj2a9Tel3ev+DWmxWabw4FtBjbKYGY8/vjjeOWVV3D48OGpYEBiGWZDMl8Nbf+ll17CP7nlX/umf4ER4VpEw3glrW22XHjVrIY8JBObkaQ5wmiI+VgkU1qqI5/L9Ld+f9LovNz8pWkLSBdq6wBL/pYdFfeqNm4DHmRo0CEhmaQEqEwsYWSCOdwkL0WNjTCUwEWrgEEtrFOgRUmzgFxm5AC0ljCm5EdZc+mGJPK/m+GZDYaLHY6G8lvR61NDp1wdby+fSilzBQwa1UHxYNJFH8cQ4JAHuwNhHHXWvrNBAWgQ6uN/3li2sSACXDh4AjgaMmjAWOERLC7Cnft/Dl8++akNftNOvFZj3vS2FK4/UGp/ZD0D7x0b8m3kXg1ClgKXDUBpoMewAZOJ97SwGn5d/0n7NuJ0mt2J0uCiD6Q2yG6EYNgeu8GwgWUZZjfCygD5+Y79QIhMM2zQIdQr4VT7SR4NrbAXnjIChf67CSZyf+KyQ+CLcweQwZXnB4dG3xmCg08YMm4sGATrHBpjwKPOd9gDW9I4CyNMhmU0jQcdxlg4awK4YJgmvSdH2gcEAAAgAElEQVQxlADps5yV0igu+6bAkQCLsLMJaGiAwQF4BHbDqvcCMmpshhTsk/S2NoAKkaFpoNHGafJKEWh0bjj7lLAZrcvlU/7fsxpdgB0dWdhQuFZYDRt4D5Fo11iNUkLVZzU2I6j4tLiEah6/hpZXGpiZEqqy/ZHXoWJ+cV2S5fzeb3Uuk20LNpxzWFtbg7UWhw4dmjsrzLLMhrUW4/G4N++FF17AE088EeUnizAb8qDUBdFKZqPMViUZqBw4+DaUWpb8ZxmXl9BAw3/2QEMyHGmtLYUHKYdlHNtI900zhgPADzV/P5imE8BogjcyyozCb7XBkDwJsqhpIZIrQLEaCiDUTr2wFGVHRHtDZFuNMonHTFqyHR5+jK/ZBK7WbRozbINB7r8a/X38dfs3ALwVHHAw4eEtIx+W2yiraLmFoSZrmKQh7SCjH5JZrAmgMWSrKgCHvxaAEYfvUUyHhIEH7H4ULpdObYZBHMilKRTqfIQ8HWjQYMwruGP/e/DgyT/e8HfV2oB55I87sf1Cg5B5AUmNJ9BsozateimV7vzna2cG8QJ0xGkkxtqwDTGSU5KegmdJqTaJ3WAZNSk7VTm74eVWfXbDEaKciimvu2HYp8IlJvgMVSN0rDlckU1RZC/k1RCAKKNKgIM4eP8EcFTYDd8GEsawWYIAx4QmsBjeLG4jyyHFXRtnYYzznwPoiECjAB6R3QDitHieB+o7ZWyL8iJyATbgCM4lwFEDGRzAkrAZXacyTIXpkt5W0gSLhGoa0BB/TKcYDT89DCYGoKHlU/q/C75Sn3lKpbot6mpk8qkpXg1/3Bzq17sAj61jNfoSqsRqULHcLAmVX64AJsW8Ms32Zvs1Ntu7sS3BRtu2OHr0KMbjMQ4ePLhQZ2IZZmNonWeeeQYnT57Ef/hv/+/BUWCdfWkzImagUsX7vA4yVJWm1sMGcln9jFJaJfNqzIYNnV7/fQ4dC/BIow3+t9ls3RXjGyI/qu+jDRIqKd7UhgeIBxrAWNhjBCZCttVw1kGQh4X3bCRfiEP6Mi19AhC0wh6QSNao2rkQz8aIkknRIf2GMh3umss74pkJ3iF2M/SIhOMWpDTbAjz8b7dRYiHHXNJJMhwajCBVfLWXJgGMPuDwdXSTf8MzX8mvwYq/IgU0ZLREGqJ5G7FafPybv4Vfuu6fA/FY+CPaBLAx4gYrWIGlDm/d/248dPLTG/g2VFPTyvQdwLH9Y1bWqXlCZFVlClwgyResml6mvfXdW+/bMNSENkyBlDBNAwddZXyu2HBWqumh2Y3UJtnEdKjMVHEEOjAffoS6i+wGlJxKUuHaCN+87Ebanw7wjCvE55UAhYlaT8pq6CW2ow84HBEQeGKn7n8BGWwIDIJrCaOGwI0FOYMmgIymcSHphIvMBxnfbhNx8HEIzcIZ0BgCGb1jHUFGAhd+evBlsGdkODAW7DywYDbRAG4DQIkGeAUykilcF+xLZvBpQMMqoNFGQKGABqd6KbqmRscyAJqGMXWq21g/SrEaibkY9moMp7u9cGJadXA9rfRrTE9CQTCVHqZwHhvxa8R92oTH47YCG0SEs2fP4sEHH8TNN9+MEydODDIOQ7ERz4aEVCZ/+eWXcfjwYQB/Gk94NjqMxUaHa34Nr30XYJF32nQ9DcMGrQIa0iltQ9YinWlKAw0TuujeM6D8GtwO3sjayOg/i5wqyJcYcM438yuNH/WXjjzFddKYXGul05u2ObHeSyC+jVYdVzlGHBo7oQktkvTJV6/2TIVUEpeQbFhyqJuAVzpOY34CMFiAB+dMycT6z+uK3SAkKZUsZ9kfawodBGGSKHQ6jGqckrRK6m+In0OuveSxMXC+GvkA4MjOT9FpKutwiHfDj7RyBjgWvYY/+vRvZZ8/+cxvx/fv2f8bMc2oIZ8nv0GDhkdw5PAD+38aXzn5J/N/mf5Nzu0AitdQTBMN6bH+ab4NYRZK30aaHwzMoAxgpLz1qd6GSKkEcGhPh9Ta0KCCqAk/IDEj86XA3WwpVezFAxV2wwMLaf9ydgMwYcApsDRIZnFLLUAIKbq9nMrXF+EAyMhLTIOB3ECef/43yKiueK7J698C41GMhBSAQ5vG4cI+K9++eDNc+I/VxAOrwY03iUdpVeNALpjdG5+2lYhBzsFQH2RoADL90CdgUYIOARgCjAR4aJAh8i9hN5LxO8mpcnDhQUdXMYOXQKPN2A1hMPo+jcGaGlF1kVLd6iK1UjS4NIULqwFgkNXoA3NXgO9lgHghSVpQQuXXyZkJotzH4beUS6jK19KvMVRTYwhg6Poaw/upBmSn/p7FYluBjZdffhlf/vKXcdttt+HKK6/Ec889t2HgsOg6zjk8+uijMMbg0KFDeM8b/hkaSh23jKbCbGYjPvCgHpDqmVHS/6JoFCkVgdBSXgFcp5UrQwMN/9rFjq2wGrkRXI8yhHEKdWNrDaXjxGQAud8BSNImDvMMeVAy7cZYt4SVJgAOVcivIQ7sgY+WE0vil/UAR5iUVvaD+zeRFAb01cLT+dKgBvAMBqF/TpyarwFVEx7KpTHcb9sDPRce4qSYDi3/SNpvX0nYokUDD67lfQkwPMvlWQ2QA1jGFlNhP4e+V8P7Yyj7LDVFZlGuv/vUb01fAMAfn/wdAMBPXv0hGBBGMLDcYEQeLI0wwvfv/+/wyMk/m7mtMobS3rZtO5c5fCdevbGsb0N31JPoqVgndOB7Xo3wPs9EFRhLNrAk86yal0/z+25iVqo4Khr2UdoiDp3yrZFSyafcmyLsRlnkT7MbDg6GRAbWxKxVpVlc5FSOPbuR9noEiqPgCAAjgDsBeZz8G57VCJ16zW4oeVVpGmf6/9l78zg7supM8LsR72UqteeupaoklaCoVSVVsUy3cWObpYHGLMYGM7RZPWXs9tjG9tDw62nA7a2Mf7bB7rFnPKYNXnoAD+3Bg2kw9ozdDD9wYUpLlaSSqrTUopIyU1tJqcx8LyLunT/OPfeeeyPiLalMVSHy6FeV78Ue8SJu3O9+33eO8T+uBRzaaOiEsvRxZx4QYIOlVBZ00HfLZmiSURHASBzwAGBZDwMgjXwb4c1pAikvD1Iq5+NwzAsDD51Ca3+sDkgIkKENgY+gSJ9NaVtVsM9LpJJKoCGZi1wADfZpGAE0wr9cU4PkU4EpPJJPBWmThf+TQEcIMkr3fcW08qDCYmjO6u63rBpeJaGSjEZSw25USajidNnBvIjtkH6NXo58MX6Nq5FWXVdv2VWrVmHPnj0uZz4bt/uJq1knz3Ps378fGzduxM033xyMpEpmw738lBh8Mb39kLyIG1WrYDvcPh0lDf/YCrkUezRoTEHU1xDmcEbaUjqlkTmQ4Wj0mM2QlKZtFOrOzyAEA3wtsgo5En8dFE/OQqGwygIOxziIbfP18RmgKFo6NILK4Krfmg3hWhQC1OWHk68qe080LHiy0+SDzrU2HFgBjdYYmwrSFcVSZcrUiM4JZ/yi65q6FLiABxoMZrjaOHWJEuSqsCOGnLmKIF6ClEZxlXhR22Bmg0f6em14egEaMv7LmY/hX03+Au0DCg2TIgexGymauH3Lm3Do6b/sa5tXU9BvJa7P6Ne3wZ4i9JgC108rS6n8MXgpFTMcsZRKIe3IapRZj8SSGFXrLC27wRKpxbAbMhUuyahyyvJkPBRhORWMkFC5QzKAqC5Oh0qIkdLT0mHq+DSEaVxzVW/blpkEMErZDm7IcqSJRppoaJMgUaGUSilD87TxwCMhFkM5wJGWDeK9eDaEQdwBDZMEAINBhWQ3JMioYjMc4LDzGWjIgn11QMNLqTzQkD6NzBjIauG5MZXyKU51G8COmlS3dayGr/Ui0t3Ke3eJWQ0/mUBFuGRnliPOQiX9GvG0XiRUNK2eiUiUl0J3i+X0awDXGdhoNptBx+FqzN79rrOwsIAjR47ghhtuwNatWwEAPzL+i27kt1MshW/D2BEDAI6i9LZuXzeaU8oB/sXnM1JlwV/Dj7plM7gInUTm2mQBm1E3Uv8vGq9CYQxSpUhGpIjhaAumIzd0Q7LUiIEGsw8yWvSOcwBlQWSBSsCpbT3rUK6Maa+VyEQljd88jyVSsUQrNukb8ZnZmyoTdfwz/4vGK/EP2VdK10uGMYVtXLkRomudqqYHHQqOfWIfB/+2DVgWiSuLW500STkKd1CJqMFB+wkZDnk+fB6d7tvfPtYfyJDxZ4/8zzh79iz+zUv/FygkaKBhWTYsCnAURVFb0K9bjY2VuHahlPpNAD8IoA3gGIB3G2MuLt32y76NblKqqsEcBQ8sGJTLFLjUF1Ze0VOSUqV2QL03KZU0hwPlwR1/XGkw0OPPbanZDZu3zlR7N+izZze09fXFqXALZB7/KH+d5M+RWAYlCX44auy5/gbsOwVORsWjen66BjHlTQs4tDLQ1m/RTACtSbrZUBqpUZQZz2ikSqEBK0mygIMkXxqFkEpp69FgcOEkVMxsWABCn/1vEQOOEGhYNluHDIuTUjHQsCyGl395T4aTU9WAjCrZlMtGFXk02ABOnwl0MLsR19OQaW6lfKqARm5dGjL7lP8r0tzCp7rVNv0tsxpGsBv+HtWC1ZAKi6VjNWLmoKq/w9OZ1ZB1N65WQgVQ20JsqgQa4eeqV7NC7xIqf3z1y/cT1xXYiNHbYoFDnufdFxRRFAWOHj2K2267DePj45XLaIsoeqsZGx0Td6KNf3xiWr+sUvQPEwMNZjIUyKshq1LX+S+4RoYWno7C5E4yJZE2jzCEBi6WAFCjlFrAYYwfSWwVwGDqz6OwQCPT9kVWcbN7diKUZRkDZGBPhrhWom1JVXemgrfHkRkvG9Iog426kBmp2oUEQza7uDH+RexSXuZIVAMwnt3Q0H70joGFBX50V6XgIoEczG5oaKSOLdFI+QVmJVTKXk2S3XmjOKWLDAGHlAImblr5vD/4jZ9BURQ9pZuuCmMMkiTB30x9HC/b9FMA4LwbGi0kSHDbljdAo8CRp7/YdXt1zMbc3NwK2HhuxVcBfMgYkyulfgPAhwD828VsSPZZY+aiW9c7EVIqekF39m3Q/kIpFe0nccM8tExZSkWAhlnicBrtw0up/Ln5mhsyK1UwirskRnEGHDG7ETGuwrvB7ZPjJ2y/vyoVbqqagZxKpsPlHy9OhyuvAksEjAMaxE4w4NBKOdZCK8FgKIVGosn3YKVRzUTTZwVoKJetSivl0iGnJgmYjDTRDljkhXHfY2YDgFuOP/d09aWMKgAbSUk6ZeABCAMNY5QDGdp+zi0ACcCHYDGkhErW0WAzOIOIGGjkmmVVZAhnNqMqzW0MNGL5VGEyJ9sO0iiLDFR0C4WsRvkCVrEaiwEaUcS1NSqyUFVFEsipfPYpmZmqm4SqW/rbTn4Nv53umVHLLIn/vBj8cV2BjTgWw2ykaYp2u93z8s888wympqawY8eOAGj88NgvVFJX3BgDZSlVL0GNdoVRHN6vIYPT3bJ8SkOjEB4OnwvCVg4XDzIDDe7UaqNd1iSOwuQByAjSshoppSrTN5wCl6lX9msAZQkVMwaJ8mluOdoFGc0lA8LGbX7vyKrlLGNSKgIUFQyKlFkYeJO4O38+7uj3WCjC429p3ynIooXjRpJBh081DCuFsqICy3TQ78CFtISsQUiqSAo36NiqBIPgTFa0Mx4lSayXo3zPJvb8E3GvdmqoPrr3A5iZmcHjjz+OwcFBjI+PY2xsrK9EDdLQ/Q9nfh8A8OLN7w4YGVVqdjtvr47ZWJFRPXfCGPM34us3Afzwcu4vBiHs26jqolNbUpZSyaQctBwzHqGHgwYPvElcVhNnoMEMh5umbEc+KvDXKYjdgNh2zG5E1EEf0YndkHIq3xnUDhMo6ciwgEQxk8Hru2ujkSu4dLhASul3g46XPTtRZ8PwKXLDzyM0OgQk9CMnTkqlFR1xUxnoBNDacvR2cCxNEqTsK1EksS1MglQAD/L1JcRoIGQ3gHpmg+cBIatB36uZDcdqCIDBcikGGAQ6PMgImQ36S4N7VKCvEGCDQUUV0GCPhv8smQwj/oZpbnNw1injanw5QzhyFCojOVUknypMhiDVbYnZEPKpnliNfoJ/jypWIyzOV7+FsLCfitLXSwmVXyeUUCUmBBme8YhZFn4qQglV3Xuyyq+xHBIq4LsAbCynZ+Ps2bM4evQotm7dilWrVgXzeDSYK2Y7+YnynoT4N+3m25AvQqUoRSgXlqoKeqD9PGkKl6yGDh7MMtCgB1478EAPv66UTPEovTR00bHTDZ9pA62AwZoTLbSv2E3H5r0PHG1N12pQ7Jo7DAxSCtDf3MAx6jEb0YDPVtXtJ2cgUvC2xPIMbOoM45yZikPBpv+r6dQEYMJ4mpVoZKJmXUVi7nwoykRVWL00S6oYcABwn7VKLS07YK+xsZDGF/ZrKj+FO/0KdB78zlaqfL+ydGr9+vXYuXMnrly5gpmZGRw4cABJkmBsbAzj4+Ol5yWOKnBwNdXE68DGwsJC12NZiWct3gPgs9dqZ70ayTnoOaiXUhWw3gElM0+VK4vbFjeQUtFmpHk8BCAAHAPgK4wnZXZjSaMzuyEjLvQHBbpKBpCVxQtkro1TSqMwucBCDQdP6LoZe27c0aJg47iUVvm/itiKBG6+Y0AU4RHNvg6boUpbEKKUgdaWHTEaJgEKRaCDJMEaJlF2ucQxGgw8AibDgg8ULOHljmf1DSdBhxYgwyBkOiTAMIaKEzLIKIxnMIxBIJliqRS9t5QHHG5d78eI09vGZnAJNKQRXAINrhSeQ4PT3Er5lPRpOBmVqKnh3B4VBfzqb8IqVmMZIirWV2cMB8osRSyhksxF/Jc/u0xsHm5DHkFVGtxusVwAQ8Z1DTYWK6PqZZ2nn34aTzzxBO69996OWa/iH7HOnyFTp1b98LGZUbIbqRhl0yZkN6RXgwvmcO0Mz2pkwbISaMTBTIYzMTPNaQ3OSiXQJhe64wQvbLzGHV9T1HAAvKE6N3QNmsoDBp5X9yC0CuH3ECCFz55rYkhJFYcCSaMUwgxRMTAwxm+XWQwGGhr+N+HNcxpfLfbN0dZWnmSXZobjxY3X4B/zv/ayAa6vYb0YWmduNEQ5kz7JqmKGg38XX0GExojYwwHAS6pEBygObQwaJdpVOYajKv6HL769NG3NmjVYs2YNtm/fjlarhZmZGRw+fBhFUWBsbAxjY2NYs2ZNiQWskz0tNuokXVeuXFlhNq5xKKX+FsCmiln/zhjzBbvMvwOVVvjzmm3cB+A+AFiTrOtz/2Umssq3wVKquiQSfrlqKVVY2TcEDMx0FIqTPMgaO34aG8WJWfZtdHQEcFmpSidLUqqrS4Mr6Hj0zm5Iszh5yzRSxfIqTqfu5VVxdipY4MHVxflcGXB4sCHPxwMKn+SJX6wkj2IGhMbEaaDJKAVIWZUFC8b9B9eimsS+q+3vniptB15MCXiUQIf9m9SAjDgk0ODvsV+DAQZNQyXI0FCBZCpnuVWFbMqzGyQ3dtmnBNBgM3jeI9Bgn4asEt4p+1RcKVyLwcuqVLfL49WoYTVqQDZLqKq3lDoJlTSB83cAwbROWajksZQkVR0MFsR28Lu8an55Im9uKcDIdQU24g7LYmVUnZgNYwxOnDiBCxcu4IUvfCEajUZpnTeM/jzSIPuUsXSnKd0M/UipYu9GAt+RVlaDRC8+OHM44L0aPHpAtRhyx25QrQaq1Mm0pT8+X9RPjiYwyIhDGy/R4oYhBeVPT8W5Z9qgmdA10YZOjlPQsl9D3uAGdhpIMsUhC//xfFlzg9cFQtbEMRT2b17/k7u6G+z9iEFfUFwQHsTw8SUgoCEjN3DdCvJuWNmUSqB17kxlcRSmhRSDALyfAwBy3UKimuCGlrTQkq3wvg0ZnNN8wDQDkMohm88E/rziNu0jD/5POHPmTGl9GYODg7jhhhtwww03IMsynDt3DidOnMD8/DxGRkYwPj6O9evXQym15HUxOjEbK2Dj2oYx5hWd5iul3gngdQBebmoqMRpj/hDAHwLAeHOypx5EP76NqnmJ7UUvhZTKnaswildJqQDRaQd6M4q7NLioOosOZ91L0JvHVxWPvBvQjqmIzeJV7AZXFnfnJC+jarjq4jB0TV2HSBQ5DZgN+1eaxk0Cev/yyxP+RaoNyauoL+9lVYUySC3Q0EJaRYUGyUTu5FQgcJEqZjQ88EjgQUYV0Oib2WDQEQEMDy6UAxbGKOQMOIRkSkqltPjM5u9cgg0HLkS6W2Y0TBXQ8BIqCTS4noasEk45ML18qjAZWD6lTY5SpXApn4JPqV8JwI0WQGM5WA0ri+oAPGJjOE0PjeGxhCpBWZrVr4QKKEuoqkBIpz5nP9L+XuO6AhtxpGmKVqvV1zqdmA1jjBuV3bNnj+u8JEmCLCuzAOxTCCpFQ4AFFcqDurEbwXEq6jjnbEC2z1WViZH26x+4DP6aMGVZuU4EOhRCLwEdc0hthucfjjLwi3nQ3viZNkgV0LAAiVkE6dcwhvwO8nos2J+HvRtsEmfgxuv5/YrPrDpSnqlgkMLTM3EaBsLrYcJXGo/2aLuMcb+B94hUAUx5PQiEidSV0c/H4E1Z1oiK/WWu00GdFC4G6H8XNovHdTfIs8FJJflEE1AWKh98zNzhT+39xtXdaRm/fKvVgjEGRVFQA1fRsZfRbDaxadMmbNq0CUVR4Pz58zh16hQeeeQRbNy4EQCwdu3ajtvoJ1ayUX1nhFLq1SBD+MuMMXNXvT10H8sspcBFmfnotH23HTvFP1X1UioWXnG7HAMNfr6leZw+92AUj9vzZWA3/GQGEYjqbuiSWZzaq8wNhBTGyjyVTZAh0uHmPGglcIQyBOAatqaQk1RpTSZuyzZwYgvp0ZCZqsijodAwVI/JsRz2vdNQNF2CjtQum9jvhV2G6n2QdKpQ9Ms6RgOS0aDTkR4OjiT6DXR0nRlU0Ge7TOzXgApYDAYRpgJUxN+r2AxpBOfMU0GxPh2awUM2wyCLGA32aQSZpyL5lLYqCyefEoxXLJ9iVkPeh47VqJURLobV4G/1rEZsDK/ycSRi8DDpwbORiH88rxcJVfnIu5ylCt/j/ZRf6DeuO7ChlK14jMV5NuqK+hVFgQMHDmDt2rW47bbbglFXuc7rRn6OOo9CL2XqGmoRQg1L32sAR8xuNBMFo6nBYqlLYfzNmKsCpHcNq4KzlAqgGzk3LT9aIB5iaghsRirBZmjn29BOPiXXlUAjpjKJ1WCZkUIuOuRy5JHZjborJ9PmMkCJPRsJfH0Nvp7s1+AXDF/TwtgXZhRSjuVkU9FymS43ZW1NCtuWpnooLbuysY2y376GMRlYCgXANVjxyIgxhZOqKdspocxUOVLArU8ZbBAADuV+95T8KpYZUYKizlVBL3Vx/6ZKoaFs5VGE1xIAfv3Qv8f+/ftxyy23uOeAO/e9AI80TTE+Po7x8XForfHMM8/g+PHjOHv2LC5evIjx8XGMjIxcVfG9TtmoVpiN51T8RwCDAL5q29hvGmPet9Q7uVoplRIbSKhHHTzTUkolC/xR35cHBSgrFaXH1YGUitkOOq6oXRAd8CrpFHs3AnYjyEy1WHaD32OC3RCtMxf6qzOL83HTeydDopolwOEZjmYl4GiYYEgE0sMhrwC0cVmpCuXb7mbiAYmxsiptwQhnqzKK2kYGHbkyaFiQoexfGi320xKdOEYjABzKg4nYw9H9aofsRshqIAAajuFACDDovean5cFn2M/VbEaVbIoHBbmORi9AozLFrQUanHGqQOaABvtEtbH1vGqARm/yKe2mLC7EveXew57VqLNeS1Yjrq3B8xOIzFOitkYsoaor3lcloZJshzSGKyxeQrVUcd2BDRmL8WxUSa+yLMPevXuxadMm3HTTTZXrSIBChc/CG8EX86OOtcuWJJgMBhG9/MhK0Y/HbXOqlKX57f7ga2uUq4Lb2hhgPaR/keWGWI9CAAwAdrSBvANaZ8EoOi2XC0rfvoyMxq5Vr7MZRUzwIBCrobCgjfBx0Ak1E1VKR8teClnMT5vQt+GL5PnvXEXciPkKIUtRlYVKyqpYesUeEq7HkYv2y9jjadvz6RZKKWTaU713Db4WBxa+WKn7ZN0zn1hhWkiSppunwebwHKlq2N/Uy8RS1QTro0lYlULKqpjWTgxnwPCjJqlSAasRj4R87MhHsXfvXtx6660YHh6G1toxHIsBHkmSYHh4GKOjo1i9ejWGhoZcZquBgQGX2WpgYKDrNZbRSUa1wmw8d8IY87zl3H6dlKrKHN5RSmXnx1KqxLYq3N6xNFGyGwQwfNpwTiGuwSOYKLEbzAzE7IaUVfH4QKeMVVfHbsgQnXxunywoCgFHKKciFqRw2akIpNkCpFbDX5isBDjoquQVh5vYziZdP+1m+xdqKjtSOpRVMctRKJLjmsTWe1JwIKVhwQmDjgIeaPA0pYx9dzPY8HIpBh+An9ZrR04yGfRdOeYjBhgsk9JAADgMUAIZhV03t/OlN0NLwGFC2ZSTSzGzUZF1ql+gIetpFMIDKtPcxjU1ykCDZ8h7f7HyqRpWA0CVwKiqYriMxAGPtJLVYG4iqKnBn42YJqR1/I5muFMloZLf46h6C8cp7ePpVxvXNdhYbFE/CRzm5+exb98+3HzzzZicnKxdR+4nseyKtqPBMFEaV/SmievFLK5gZUh2FF/ehNJsqJX3atAhWaO4yPSgRcYp2n+YWQoAtJbSqtw1DOHZAcb4mh4FNBpIkBkNbRSaSXXKUpYeZZrMySShMsHD07KHwgDDwPs2+LqyZ0Oa8QOjt2A6JKiRcioZmfa/BTMYfEWkRItfDC0rD9O2YSZWQ2zP5hxXUGjba5vaKsFGaJGVEpWD7Qih9HIw+OORT2VBhJMlGyBVqQWThRs9cZV97V8ZiSFJVdOyGfyXWSIZ/+Zv3o1vf/vbuOWWWzA8PEzr2w49swhaaxRF4Z4PKbPqBDwYHKxbt4kWFAwAACAASURBVA7r1q3DzTffjLm5OczMzOChhx6CUsoBj17AQlEUlal35+bmamvjrMT1EYvpTlcxH522X57m22EdTLeMBoSsSrAbcrle2I06CazfjkiDW8tu9HOFeIiGv4Vm8XIr4eVUvIvYvwELptjbkqLp3k9QTWhDvrKGaYBT4lYBjtIgDQAtZFPGggkjmAxmOejdQAAkAS3HoMnYZROlnKwqMf5zYZkOJRgPJabREZpAShUeffg9llFJCRXPY3DhivhF06qYDQkiJMjgZWI2o0o2FfszegUaMs0tAw0GGTT4KWRTcfYpU2Y1ylHFasg7odeoARbSd7GIdLc8zW85BB283aBwH/cDIPft2YtKNqLrkYllFwEirgZ3XHdgI5ZRXQ2zcfnyZRw4cAC3336760xVBQOUV4/8LHXyhSyIQQcVSlOlitIc/bIbvGwDACwdnJkEmTUlVJl9mdlguxYdVeaBhn1gCwsUGGSE7AaZl8vGLO2W8dO1G93LjUZDJa4hoFEYjUaS2JFBZfdtKW9Qg1Z3GbhAHsuxWoY+cyrbTNvRKQYW8H4Nf7T+emcV7VFmvPmcj02JzxyOpZLHp70hvqX5xaPQFkA2g/+ttIAwBgBMDmOvNZAAynY4+PpqWDN5BiRAohru+kMlTm5VmAwNRYZyX+SP9g40qSukYLN9pNBKo2lSNKCgLMhoJLDHb6+ZAT72yIfx7W9/G4ODg3jsscdw/vx5TExMYMOGDSWJYZIkaDabDnhIAFIHPKqYiNWrV2Pbtm3Ytm0bWq0Wzp49iyNHjiDPc4yOjmJ8fLwysxVvr0pGtWIQX4k4SuyHCqVU0igeS6lkKvKyOVwHRTqlrIqXMTYDFQ8SyTS4sqI4hxtFjdgNOHahDC46VUzvL2J2g/ZhgEo5lQNINh0uVxenz3Y7tp2D8RJQB1QcyGgEgEOaxsNWOF5RlRpqgzLL0VBw/g1uleV72ShlmQwCMuTPECDDKAc2IKbD+F33XdRPfNdiWgw6DOD8GDyd5VISVGghmWKPoWQz/LSlARpVFcLrDOGcfapv+dQymMJrWY2KIn6d0t0qVS2L5sxUZalUKKFKjCotI4+xTkKVsPxZVUuorkXKW47rDmzIuBrPxvnz53H48GHcfffdXY2qvI5MF0pdN5Q6PtQYUKsljeJx9GIWT0Tb2UyAplZoqwSpCXO50/GEKeboWKT0ywORqqij5tmbUVXUD8ZnxJKRaY1m1JFkKUKqqMHMrM/BrUPiXwxEF6NVUFYrOge4vwZeKuXqbYhgQJIoD1BoP9GxGr9dliV5uYLdn102txNYElZoHWTgakf3IhlI6Rpx4ylf2HZj4NedsY0WpZHMHf1KDTSZMEkHTXIqbUgXzTIrbWC1orR3km94dkPDoGlYFaowmCgMpvTylbfxx4//Cvbu3YvnP//5mJycDAzehw8fxoYNGzA5OYnh4eEAMEhQwYCDJVcM8NM0dc9Tp9S3g4OD2Lp1K7Zu3Yo8z3H27FmcPHkSc3NzGB4exvj4eAB8VgziK8HBYIKf4XCM33fElUJtgT+3LZTn83iklI76+huhlIqnwcBVFGejuB36scdsa+iAZBmcDKP3In920G052Y2a2huyurhMhyuri/P7RyEJ/BuywriUURkegDFU9M9yCrWAg7JOWZ+GVo7ZSB3DgcDLoQwxIcrOY0lVYsRnwBnFGWQAqAQfgGQ5woiZDgYT7ru7jhHIEOBCTmcA4VkNGoyUIMOBEJTZjABoMLjQ/D7tDDS4l1EFNOIK4bEhXDuvRiif4nsI4nv5Jqt7Dq49qwHAgY+4YrjfTkUmqjjrlJBQ+aPyoKLOMdJNNSMHDmn/KpgHMX8pwch1DTYWW2ej1WrhyJEjuPfee3sq+JUkCX7upf8rUlsILRGNsTEGSilwClzJbjAg8Q1uCCA4ugEO2OVXpQptrdBSymWlkhXDEyTIkDlGQ9vicdpo+xIohBmc2Y0CnuHIXQMgQUZgYLYyLRiN5635l66lzEAdy6ZKkcCgrQs0FbEaBeB8DgbGmryVAxxKnD+nkG0GnXiDAevzSBN/vdwYh/0gq4hzo8q/lEtv2+Hh4sxT9kAhM38ZsR8O/n0BoKW1Y7syC8K488CA45bVr8HRuf/qAAffBT6dJDMXzaCZYd9GopoOYFT5NzgrjIaXaQAN0agpBzSaSYKhNEFaATT27duHrVu3OllhbPC+ePEipqencfToUaxduxYTExMYGxsLwEMMPCTbURQF8tynUO4WjUYjyGx14cIFnD59GkeOHMGGDRswPj5eW2djxSD+3RG9dKVLWal67Kcktr2NjeJhnY3QKM5SKuY2aRmqKJ4IdiNBSsZllle6E/HyKrebRbEbVXCpl+CWk994EnAgYDeCtkr4NzTy4L1XlaHK7UYBME0w4GiYhvtsTCrEYlbCjMQCDAVtGVoDAhpBylsrl5IpcvMC5M1QtoaVEklH7PKFVSukihNtKOtp88wGDI8u8/1gf4U49W0ELgAPLAAhoxLfA6aD/xoJOOha8DtOyqUYTASeDeO9GR6A+PdxYVPUSyN4Yd9hObhgX9mjwcX7qB8SpriNDeESaHCtrqrifSVWwyU4iVmNfoCGDB4uWByrEdfGkBXD43S30hhOewn9G2FK3LA9cUemlJvbqc5G6SxV9ee6uFrccV2DjcXIqJ544gm02218z/d8T8/Zb1ynyRjANjwAnISKuzh8g8hHwPVXuTGUgINfGmJ65f6VlxStaaRYaBdIIQshUSMvDeI0jR9uX1sjGAUDSkCDpoXXlICJpzJ5201boZqKytE1yo3GgPJJV5nlyAzJjgorP8qMkY93KVraMxryOgbshrh+HHFxv7hDIWtqBCIxK42Tf+PtGRhrEid5GAAsROxGFo3A5NDufklB4EAF94QAHW7dDAYJUjUYsEmOyXCMhrb3kAAt0hQOz2RJRmtAJVjXSNFMQq/RJ078Kvbv34/JyUls3rwZVZEkCUZGRjAyMgJjDC5duoSZmRmcOHECq1atwsTEBMbHxwP/BAOPRqMBrTUuXbqE2dlZDAwMIMsyGGOQpmnPma24WKAxBhcvXsTZs2dx5swZXLlyBe12G6Ojo+7Z7tcgfv78ebz1rW/FyZMnsX37dnzuc58rSSyffPJJvOMd78CZM2eQJAnuu+8+/OzP/mzP+1iJaxfd2A3APn2qu5QKYv3EPbl+yzINrqs3UWEU9ylyPbvhU98ugt1wdTeq2I3wyPvroNUADns2EnD4wZJwNxJwdM9QBWikFkTZnHpie5QWNwGQepbFhDIobX/HhmUw8oKYW/Zy5CDZaGEHBQlocKpboCi8RCp1sl36vZV99yubepeARpnR6FVC5a5ypZQq+g44BoO9GSzv9RIquHkOcIBABgOOgMEI5FOWrbfp2iXQYA5DFuyTbEau/FKceUpbWVScecoXCb7W2adqOlcxq1FTVyNYpYbVcIBDsBqAkEpFrIb7x4yZ0zLw8jEg4v3XS6jio+/Eaix1XHdgQ8qW+gEbxhgcPXrUabj7SbP5gzf+W1hs6zqOsr6C9G3Yo3SdVZnyVRaJk4CDzqs3hmNVCqxJG2jlBVoIb2AZzGpIgzezGoVu2eOWmkkPNEzJt+ElQNKvwRmvEFGPbevfyF2HnRrv3HigEcuP+HcdTMLplM7Qr6OtuTy3kjbp2aCjEtcMnj+Q6Xfrgj0kPMrDwSAjOEcBMtqaUmC2TOHuj8zQKJCCsumJ5UvaHpUYzfR3jj8TLUz4CRrk4bCmcWqkC0A1AZMhUYO2YS/QVKvt+VsAqHIMmlVQSJAiwVDawKo0bJg+ceJX8dBDD2F0dBQ33HBDx+vEoZTChg0bsGHDBjzvec/DlStXMD09jb179yJNUwc8JHs4Pz+Pw4cPY9euXRgaGsLVZLZSSmF4eBjDw8Not9sYGxvDlStX8MQTT6DZbOLrX/963xXE77//frz85S/HBz/4Qdx///24//778Ru/8RvBMo1GA7/1W7+Fe+65B5cvX8a9996LV77ylbj99tt73s9KLH3IrnSvzEUvRvHELhizG2VzeD27kQDOKK6gxfHVsxucmaoruyGYEx7/5+O5OnZDhgAcQk5Vlw63F8CRcA0Ry+zCXhsoLzFxQENplxaXur2p7ZArNJAEEme+TFrTO5mlVcxccHItx2gw0GBAUQE8lFJCPuXf9QxA6DODjv56c9UyKp7n2QvdAWCEUqqQ2Zf1olgy5YFFmc1wYAO+hkaBwhXsq8o6xQOaDDScR0MAjTjzVGegwRdlqX0a1axGbPTuxmrIDFSdWA1lt83goldWw0mpIlajOxTqHUzIvuZS4I/rDmzIqKuZEYfWGg899BAGBwexa9cufOMb3+hrP6zRJxKcWkX6DFdpFijLpXhMCAjlVJ3ebb0Ajo0DCS4XaWWjJv0aMvuUrJvBkqrY28FAg5ZnNkNKfTzQ2Lrme92IG1eANTBoioc2A9eRleDAOJN/RhsOHiCuVVGVXpaLBHI2qFz0EuK7IFG+vodcjqVbQX4te+ypBS88gseZpmTI/bR14aR1uSkcmGk5kKCQKS8XylQbN655GZ688g/u2jqmw+7HgDodiWrAmAzKFsiSHg7aeMMeO2V0Kdz8FDEAlBVJB1UDIwNJwGj87slfw8MPP4z169dXpn7uNdasWYMdO3Zgx44dWFhYwPT0NA4ePAittasefvToUdx5551Ys2aNW4/lT9JcDgB5nvfMeBhjsG7dOkxOTuLmm2/GhQsX8Fd/9Vf4xje+gfe9731429vehje+8Y24+eabO27nC1/4Av7+7/8eAPDOd74T3/d931cCG5s3b3bMz7p163Dbbbfh1KlTK2DjOyB6kVL5Npx6zlXDWbKiuLeB2+9GOaM4d5R5uX7YDdoPF/Xrzm4EbEaJ3WDAsVh2I55se+yoSofbGXBwSlx37ZXteBlpGg/rcCQmscyHKdXiMKawta88y9GwA340QAVoJT/DyXf5M2ejYklvAWMlVXbE2L/mQ/Ah7iWSVUUsWM27PAa4Pt2tv+oSXNA6BDC8dCoGI6EnozzNBJ8NQm8GS381UDKCO7mUqAweA42SGRxhittYOtUZaGgsjU8DEAI3+81+j1mMPlgNv2UPKtx3CTg6sBr0WTIPoUm8itXgs5CsRuUyqvrzcsZ1DzZM/NRGkec59u3bh7GxMWzfvn1R+9EwaNpRHaa2+dai+R50cHE4gB92X3dDsheyoU0QSoJ6ARw3Dg3gyFwbrYrlWDIFAEqlyHXLvbS0ziJTlj1WATQCNiPoXmvXSnIRuVwVaIp0bhkKNJG6Fy8djx3ht4Aj05qKyFmkXpVdqK21k1G1RG0L3qpkiIiNCCVBkqXg+UWXe4VHehI7cskNO10fP2ZI040HGaJRYKDBkZgEmcrc9VBIxY8dAQ5awO7PS6oYcLj3vmEwCAtKbCOtYBt1GoVJo8c/MQluXD1QAhqHDx/G6tWrsWPHjo7Xp59YtWoVbrrpJtx0001ot9s4c+YM9u3bh1WrVmFqagoAVRCPmco0TUuZrfhzp5S6cXar4eFhfPjDH8bBgwfxS7/0S9i7dy9+5Vd+BZ/85Ccr7zeOqakpByQ2b96M6enpjud58uRJ7N27Fy95yUv6uj4rce2iV6M4dYDLmZyUUqJ99/P4HeDN4bK6eFhRnMWMiUmcUTxmN2QaXN9Rj6YBi2Q3liIiOZUAHHRcuiPg4JS4hbFDIQ58lE3jZcDRAEyOOFMV1xPSRtt6GyxJNS4ZCQ30+RS4mgEEEHg6EgFCEuW9HUp5MMEdvBh8APxdhYZw+1GFX8OrKlLf8lWm7yG4AH823oshgYYEGcxeOGBhQgO4jqRTbAJnFkMzs9EH0ChVBzcFCpM7YNENaAT3Wa1PY6mjf1bDL5dGWyp7NQDP0knwQct78CP7EFUVw5MOfSUpoerVGL4ccV2DjW7RarXw4IMPYvv27bUa9G7x0pGfQMN2nuUNoQGXAperifsXjbGdXx6toPncQElAIsFLv4DjBavX4sB8NeDgEQIGHvyA8wOiHYPBwCRMaRtui8GHsd8NEnhJVaao0Wkar9PPbCecKn3TY5VCoWU0mmIEQRqrAWAgkfM8yMiMQUP5DFNsMpcjk7Ffg1+KrlNhf78sGs7ks22Ia88MjAQoxlLN8nilnC4TXpcMhW2Q7Si9ypGYBA3VoONy4IIbVR7dY7laDoWGbZQJcATHrDMkSTP4Tel4NBoJyw20a0YbpoE7Vq/zL04AHz/xazhy5AgajUbXEf+rCaUUzpw5g927d2P9+vU4e/YsTpw4gStXrmBkZAQTExPYuHEjqlLq0rl2T6nbKRvV9u3b8aIXvQj33XcfAOAVr3gFzpw5U1r2V3/1V/s6r9nZWbz5zW/Gxz/+caxfv76vdVdieUKO2/ciperHKO7WoaH4wCgu2Y24ojizGz4lLjncJLsRF/mjTmRR8m6wvLV83klkFodjN8pyqqthNyLAYafREuUEDbJgKafEjQFHlYfDgSsBOLS9PpypCsYzApytyhjKbJVa4MeKAmkgZ/8FMx0SdPDgFQMPAxUkMPEF/Yj1AMQ8d0nZ19HDlZVGcf7rwFkokeJ5Bp6tkGCjDmTEkin/3XszmM3Q0CV/hvdl6MqCfZVm8BhooAw0Steiq0+Dr0o/0TurUSVSkkAj9moEUinFDEbIakhjOIBAThVMt2tUGcP7jV6YjKWWUAHXIdjoNCop48qVK9i3bx9uvfVWjI6OlrbBWaR6CQ1jGy/jblmA5VXKNeFJtE1uNKgAXMhwRAPZHqjwSIhgQaqCp+8eGsE3F1quoea877R/z3D4B75Aodv2+P1D719gclRBTjPu4R9bs9s1QMokaES32bxqY1AAj8JQBpaWKcg8bqj6R2LKVCGnj5UgQ9azaAqAIb0U8jqFqWy9FKqbKT3TXuKl6aIEjAZHyxQojEbTdvJbJkeKxAHSLBJe2DwcyFWODC2Mr7kXM1e+bUcHPcvhAEcUDDgMvHOIGA2qtcGpI/3obOGyv5ABLcE9Q6MloPHYY4/BGIPnP//5PT8L/UZRFNi3bx+2b9+OkZERAHCZpbTWOHfuHE6fPo1HHnkEGzZswMTEBEZGRjqm1I2zW/F+qrJRzc/Plzwbf/u3f1t7vJOTkzh9+jQ2b96M06dPY2JionK5LMvw5je/GW9/+9vxQz/0Q/1dlJW45iG9GV7OUz3qr9C/UZwjsUyHrChO09m7QR3mmN1gYCJTmsd1N3hv3aqK1xf6C4/+agEHTbb74PbLhHIqwDMcxgjGxgKOBJzO2wMOA02fbaVxwyDMggy+hlAQ5lrjWA5Kye69HIkdCGRpVaJo4Iv6APZ+0DxyLNkNMpQ7xgNeagWezgNZyk+jk1buKtddTRmeQecrrMqgA9UAwwMSDypK3+ElU9pJqCyoiNgMKsxnajNOaXhQ0ckM3g1odKqnIa5Mh6vWLWquvgMaIasBoMRqVG+1mtVw9u6I1Yi9GrR8aAwPtxWxEoLViCVUdVIrV3RUgoplZDWA6xBs9BIXL17EwYMHsWvXLqxbt640n1PmdjOJ/7ORH6fGCwwsLFUuRrOZtZAeDh6FkHIqBd9Ec0MQG8aroqoz7c5D0Xb+u1Wb8d9ax2vPQxrF5egY+TkSJ58qAw1++D3QAICGWkWjbkhQ2MqvADEczG4UFvawh0PDN/qkW+5857dErY621g58uNFERalzm8pTze58LUDJDV1vBhGAredREwl4NMizGgnC+hrBMVqQAQBt5FAR0MjsKFDuqrrbWhOWpfByhAhwGATsRlUwzGV5lbEdC6kdZRnVP1u11VVXB4BPnPx1HD9+HO12G7fffvuyAQ2tNfbv348bbrihstOeJIlLqcuZpaanp/Hoo4+6lLoysxSvI4GHMQZXrlxBlmUOfEifR6vV6im9NcfrX/96fPrTn8YHP/hBfPrTn8Yb3vCG0jLGGLz3ve/Fbbfdhp//+Z9fxJVZiX6i3y5Gp6izSodSqvp1pVHceTTsKLpnNEKjeCd2g47Fy6i6sRuyz++zBiZeThWwG34P1WbxqwMchkdiOwAOvrb0zsuQoBmcR51pnI7OMhnKSoCtXKqBhjWMa6o3ZMFdahUINDRowYTtAmqjrBFcBbU02JNR8mjwPSGAB18xBh8w5U5d3JJ2e6/LKyuny+8lGRX/NZ7F4OxSwXcDJ/eVTIY2nMrWp7R18inFXEVeYjNcXipTOAlVRzO4ABrsGWXpFJ1jPdCge3WpgEbEaohpNCNMdesmXwNWw90/9nMsp+rlzVwloQrm97CNXqPTr/BdBzamp6fx2GOP4Z577qlNedmrsRywzafSSEQmDGY5JHEsmRIHKuCpZmogqFPJP74EGdLDAYQMR6dIFK3zslU3ozDAV1oPQiNDIWRSDCzih9+NMATUZchmVAUbkblidY7cPVAt1UbT3na5Kqjxti8kunaJA2ptQxIqaZIC4GRWbV1gwEqCXOpcNpjbDFZMCwfXBB6UaPZ6mHgEMmrK2LAere8yarmxwvCatOEBR2alUvTZs0oJEmSqbVkJbyYDPICRsioDgDNVGZXTERlYkEjeDAUhp+B7iMbDoO3v8rKB29BMwhfef//ZN+Lb3/42AGDPnj3LCjQeeughjI+P9yRhlJmljDG4fPkypqeng5S6Y2NjGBgYcOskSYJ2u41Dhw7hjjvuwMDAgJNb8fOY53lXc7mMD37wg3jLW96CT37yk7jpppvwF3/xFwCAp59+Gj/+4z+OL33pS/j617+OP/3TP8Vdd92F3bt3AwB+7dd+Da997Wv7vEorsRwhu9DdTOCSxQi3Uc1usHej4BFzw6Pb5SJ/zG44vwYS5iAt+LDTbd0NJ8ZyJ+CrirvzECxGbB5noGJsBzlOhbs02akk4JADJtWAg9spCTiUSV0nTmapCttFX9+JpVgKusRyUPrvxIGOhiHA0UDiwFBilB2aUdavQb9jrmi4JlUEMPKCfvMAaKCsh2eWgz8D5e/uc4fembznqkAGf5eshwQTVYBDSqX4nSdBBvsyjIUKUjIlvRlVbEaVP4MARrlgX1czONAFaMi4muGGevkUp7qVgAFA2QQugIZkNXi9KlZDZqCiowh9G3G6W/+Z7zkGsf2xGnJ6L+bxpXz7X/dgQynlzKFPPvkkTp8+jRe+8IVBpySOXlPm0tgNKz/LdBfLquglQA2YfCEB3AAox2LQeh5MMMMBVP/w0lgOdL+BXjN4D7648I+AbSh8diI4oBGAi0g+FQsD4gd//dAL7PQC8vbKBcOhYdBWORJQNqaGScm7wZ1y6+eow+0tU6Bpl12wxQHpWE3pbwbvjeFpEmAo+NS7rtq0CTPMxGmKc8ONcRicrYM/M/Boqcy95CB8GgCQoe2y0dBoEDX3w6vvxIW5h8snb2gbLAzgFzCNAuW2UfRVegmElOneVw/uDmRTADEaJ0+exJkzZzA0NIQHHngAo6OjmJiYwPr165cMeBhjcOjQIaxfvx433nhj3+srpbB+/XqsX78+SKm7b98+V2BwYmICjUYD+/btw/Of/3xXCyNNUwc2vva1r+Hs2bM9sZgco6Oj+Lu/+7vS9C1btuBLX/oSAOClL30puiWmWImljbCLu7ioUEKVgtiLenbDbQvMaBgxTTIa/jNtlwGGF1NwZirJbvBAVSFASJwPq84sHgOI5ZFTiZ0i8m/UMRx2lSrTuEYO4oWaFnhkrt2r8nFIlgMG9IZWxBY1DDMeqT0m7UCHhkJDgI4ECspQwhJ+H0sWwzMc0iAegg8gBCD+OPu/mhxlOZUHEjy/EnTAsxjsLTT2l4iZDAkySN7rU9oyqIjrZzjmosafwUCjpzoaQA9Ag+/VxbSzNb9AB/mUm97BFO637kEFA426DFROQhVloKpiNaIj6YvVqJ3Px7wEr/Zuv8R1BzbiDhEDh2PHjmF2dhb33ntvpXZbRi/Mxr2j78QAfCVnDQNlx0r4Aa+r28B6f4BBhn9Vumwmdl2ZEhfis1DFhts2XQCHAn5w6CXINPCFeeo08cPvP9NDziZxxFmo3PGXI7WZkQrk7oHVigr8tVUbA2YAme18x/U37NhIANrIv1FgUIW3agaNhl2OwQcBs7DwXiLkThzMSpQYighUxMFGOTnuJzsT/NtllnZOxV5bqg2FBJmVTHHDzY6euLhe3IiFhkvA3QGscRXXh9kN39EoYGz6YSjg9UP/vHSPfOLkr+PUqVM4f/48XvziFzsp4blz5/Dkk0/i8uXLGB4exsTEBIaHhxcNPIwxOHLkCAYHB5csu1VVSt2HH34Yly9fxtjYWEkmlSQJDhw4gA996EP41re+1VdNnZW4/iJmN5zHLhrEoY6aX47ZDZl4gjNTOaHSItkNAK7uhmQ3OCm382XUsBvU0S5zutdGTiWjDnAQSGJJKICA4Qh2qWBHwwUboFDycbCsilkOKC9NYdM4p8hN7LUnURW/t6nOkLFSZ+ehtO8R9lzWAQ8gAh9AySTOV7vfK+g+O0ajDC7c9xqAwSxGDDI0vPk79mXEmaa0m+ezTcWyqTqg0VMdDUAADbjv8pwXz7oBIdBYnHzKbymUT1WxGnLZmNXwewxZDT+9M6vBR8ushptWwWrEA4u9sBpLHdf9WzZJEhw6dAjNZhO7d+/uqZO0GGZDK23pWASAg4v5FcYAKglM4gQ64IzKPCriKNdofwbA//bkr9cez/+47UNdjxmg/TUT4M2rX47PzX7Jb1+yGLAjRcgBJX0bQOzR4FjV3OzWq0L8ANwoPkCehSYaVNTOJO5honk8+seAwu+/qVJoY9CGQcM+0Aw+MmNlbCxvsvKAUN1pkNqigjGwKPi3qjp2+1LK+a+Vecm898xokBejwICpfsR0RYPpRo2s1nr14E2Yaz0RHDcA+4JWcCOE8KOFNEKYOHO4Yz6Mxo+sfXXgzeA4MHsZZ86ccRmhWFbEhfcmJiagfdZ52AAAIABJREFUtcb58+dx5swZHDlypNas3S2OHTsGYwye97zn9bxOP7Fq1SrccMMNuHDhAnbs2IGBgQE8+uijWFhYwKpVqzA7O4vNmzfjvvvuw2c/+9meCxSuxPUV/XSf6yuK+205KRUvo8I0uHJbMbsBo13dDR6A6JfdoEGFiLngzk7N/LrK4ksvp6oCHLDTikBSxctXMRy+vgkCwME+DromNKrO6XGNSqCRWlY9DzJWEYtkQGlxU7CJ3OnjDR2RrNGR2F0XNcCjQBl80G/hr0y/HbrQb+ivKM8LgAdCgMHLSpDBg2ZSLsXvLenLCBmMkM2IZVNV/owYaNRJp4IIgIbuAjSuhj3uLp+KI2Y1yvM5OUt/rAZ/B3pjNWhb5UFRllD57+U+ZG98iN/HUsZ1DTbyPMelS5ewZcsWvOAFL+h5NJalFnWxZ/TH6AWgNGB4TESMxovvwWf2ZNi/TtJjnxlZ30Abg5/8wptx9913d5R8yfi9x8tA5Ge3VwMQZjneuu61MAb4z5c+L1gNBJkgxFHVAg2lEqTJIMr5V+hllqk2mmYAGdpI0UDbmiF9BVzyvbCvoZNBPDOFfTUY+qyYXeL9sVmfp1U0Sva82BDey2uVGnEuBEhNNRc7ov2X98OMBkA+jcQkaKu2/c5Zvyg7eYHMjRAZUOG+ulSW3jROI5hc+I8ARw6lGm47P7L2TSVvBsfh2Tl89tCH8fjjj2PPnj21rF+SJBgbG8PY2FjJrL1u3Tpn1u7EGp48eRLz8/O48847l80LYozB4cOHsW7dOmzfvh0ASZzyPMeBAwfwsY99DPv27cMrX/lKzMzM4JZbbunKdK7Ed0bI7m2/4TwadmS9it0AepNaBdulYXbHbmgxXbYXLhuVHXnvxG4w0JDsBsCjp2V2oyo7Fc+j9cLaG/EZ0PTFsBv9Aw4eLKkDHMq9USm/X6KaYrTfJjeBDmRVJZZDaaRoIDEJvMyK/RwK7OZgeZU22o8q2/8UqoEH4MEHfwY8wyGn9RoB2BDAgq+wFqCiDmBIFqMKZEhfBs/pxmbE2abk9NqMUz1lnbJnsORAo24YF256PzU1YlajvJ4AHBWshvdnlLNR8dH4z57VkNN7eY/Gi3ggHM6/Glajl1/jugUb7XYbe/fuxerVq7F169a+OjcsIakLA5bTCL28zXThzeG2mTZArsoqwMIamrkGB//Qn376fjz55JOYmZnBrl27rlri8YmTHoC8euzn8IK1oSmeQcfbN7wZf3rxs3Q+jtL00ioGGlWhoJAm611DX5jMm/dQoIlBsR17/siRYMBN10jQUm2X3Ys9HZJuDKuPF5S6EAbago/g5a1CNiM4Z3DWq5ChSKCQmaIS/RvbKKdI7MgQsxy6EnzJY2GQoaGtETxxQCM8Ln6VcWOUopmOIivOBYAjzmFfI6gDkOLtG95c24gcmZ3Hf37k3+P48ePYs2dPz/dabNa+dOkSpqencfz4cQwNDTmzdrPp0xs/9dRTuHjxInbt2rVsQAMAHnvsMTQajZJEq9FoYOfOnbh06RI+9alPodFo4M///M/x+c9/Hp/4xCeW7XhW4rkb/bIb0iju2Y3ORvGY3eC2R37uxm7AwI7QAwGwAOw6aQAwfKaq+robvI2SnMp+r077e+0AByCAndytYDWkcdy4axZmqzIukQZnpkpdW8ydxASJ83OwOTexv45vkUO2Q7Lu7O9wpl3DbAaN/vCb0I1EC0as25WTIUEFUAYWvI4b/OoBYEi5VJUvg0FGlTejFzajE9DoPeuUPOuqK9NLVLEDktUoy6e6bzGUTzGokKZwv6wHFvyPo4rV4HsrzkDFZ8LGcNgjj43hMavRKQ1u9bktfVx3YEMphbm5OWcMnZ6e7jmzFEcnz8ausbe5m4MpV/ps7Og8/0zVHVYnp4LtDtpO8Uf+/j04f/48vvnNbyJN0746f73GvGrj6KzCoErRUApbV4uUoQp45/BboQ3w6fN/Io45ZinCB11BQakm0mTQfqeHrzCZS+GaoYUBrEamWkjRhEbbgQiWUMF6NTLk9sEpP+ycNpZBR4bC+SIK+2JgEBAU1LJSJ2ZActuQMUMBwGbiqP7N5Tnz2A8dq6hZAuMkYpzSlk3hTD/zvSKBRoaW3a6vtsrXkY6xAaUGANMKjqNc+M/6N+w5vmP4X3ccqTgyO48rqoVjx45hz549ATDoJ5RS2LBhAzZs2ODM2lNTU3jwwQcxMDCAiYkJGGMwNTUVSLSWI06ePIlWq4U77rijBGjm5+fx9re/He9///vxute9DgDw6le/etmOZSWenXi22Y2quhsxuwE7as4dKN/VD9kNz876VLhGsBsMPqoYDSBkNOTFMe4cuSMOIaeqAhxX69/oBXDYpRhw2Akx4ODU7Eq09qlqWqamcO8ryXIw6NAokKg0AB3s5/BAIwlASB3wAOAyKTr5LwNO/s1tAhJ5XwBX69nwoILmmWh6CC5omc4AgwFFvyCDgURhsq4gg47tas3g8sz7CdkiVMmn/OBekB6+C6tB60RAA366ZDXiVLd1rIZkz6TQqo7VYKBRe+bPEVYDuA7BxtzcHPbu3Ys777wTGzZscNlm+onePRvaSanSYDqZxQF/G9N0Zjt8ZfHPTH0MAI1SPPLII1hYWMDQ0BC+9a1vYcOGDZicnMTw8PCSdNL+Yeb38f1jPw1jDAaR4tRcjkaSoKGA0UHu3ALvHn0HtAE+df4/uTOqersqKEApKDVgH4/UNkSUL71AhsSyGm3MIUUTNBJFDx+nxKWOeUMAj87RshlIGiZFhgJNyypxhPIEbwIvohG+zHiAQssSU+HXDaUOsrOf2ZePPOZYRtVWmcvABRDIkOdXIEMciUqRmwXXECuVIFGrUKi27RBUP9r8Un3XyLu6NhxHZucxr9r4zf/7ndi9e3fPMr1uoZTC2rVrsXbtWuzcuRNzc3M4ceIEpqamsG7dOpw6dQoTExN91bXoNZ5++mlcuHABd999dwlo5HmO9773vXjTm96Et73tbUu+75V4lmMx/Q8b/XadA9O43YBkN+S2aL6vuwFVrioeZqPy7IYbvYf/Hhf6IxmPdqlwyfvHAynVtTeqAAcdUD/+jeUAHN53xoMosvifEUyN27WdX/A7xc4r4Dt7daAjVU3n5wCAhmnA+zgSJ7EqlByVDoEH/W6Rxt6lLOVDFOBDRCeZsIz4nSJBBV9JuZxkL3h6HcAAUAIZufI1nzS80bsKZPTPZtgjiiTazy7Q4KVCn0av8im3ZVFTg9IMlAFIXMCvKgMVHWV4T0mgEbMa8iw7sRqLvWJ9R4ef6LoDG0NDQ7j33ntdh6ZX4CCjE7OhQSMxqetgajs6Qp9KjQOMa0xlA/N/Tv+mX0ZrHDx4EENDQ7j11lvBVaovXLiAqakpHD16FBs3bnTAY7EylKIoMJ8sAHoVlCGj86AGjFKYWdBIlcLIoG0cFfCe0ffYvNzAn5z7g8qOrkIDynoLADLs8QsRILkUAFdALkdO4EBpaFA63BSNYOS/rTL3MEKFDTMXBdSg9LkNk7rUsoV9eUmZkQQSBY1nlcAFz6OXlN+XZC6YQWEGIzEJckXz+a9rypUfHWqpBWilkbrChi0opMjQAmWeCRvzwvgaKMF1VgMwphVMk0X/3j12X0+NypHZeWQo0FJt7N69G4ODg91XWmQsLCxgdnYW3/u934uiKDAzM4ODBw9Ca+3S08bVuxcT09PTePrpp7Fnz54SKNda4/3vfz927dqFn/7pn77qfa3Ecz+uht3giNkNAKLjXc9ucGcAUfpsPz90tXlvH5C4N4lnNAAprfKF/hhYcBeFWVnyv0GAD38Uvi5FRbE/t345He6zAjhspe+6auMx4IA9V/ZyeGYYrnPLoIOrjzs/BwCjCqSmCWY6QpDhvR1s+ObOIRXoLYMP/y7xy3PQ79V7hK7J8uBXDC54HgMMXqaKxfDr+3oZtH69LwNAZe0M+n1692fQfp5toFHv03DTKtLcxvIpvxcBLpjxEPuI5VPuHkMonwqPujqkfKry7MWMoOJ4xfzFRj+/ynUHNpRSwcjpYsBG3Tp3jP2wu2m8RtR3QhNoV8MBhm68OL4w81vB96IocODAAYyMjGDbtm3BeYyMjGBkZMQBD84ENDw8jMnJSWzcuLFn4JHnOfbv34/P7/0lvHX3f0BiFJomRQYqZNRQVD31XIv+KgAbBixKVsB7x38S2gD/6ezv+40qBagGlEpdw8KgQtusIA3l5VXManBHO0WTRlIMgZEMbTsyUP+ItawEKbWjVpmiTCK5KizgoIY/BkZcdM+/lAlg8F+/XDXILFwjbb0aNvd4bIiX2bZktNW8u3dYOsV/4zCGxVqc5jIFTAKoFMoU7tzePfpTldmlqoKzuGQoMK9a+H9O/u6yMAwczzzzDI4ePeokWs1mEzfeeCNuvPFGtNttzMzM4MiRI2i32xgbG8Pk5CTWrFnTN5A+f/48Tpw4gXvuuadk9DbG4Jd/+ZfRbDbx0Y9+dFm9IivxnRuy79qtyF/VMknEbrjtRt4NyW4Efg3RWUyMsobwWE5Fo/ZsFqfj9kAjriwOJ5NKvQRJAAqeT8dJ61amw62tv7HY6B1wAOjJx8HtMAMtlx5e1OTgDFZ8baWfI1GU4QsqAzMdocTKgw4SmtE0kv4mNoUu9wPK4APw4IKBiIy4u1jtAdTR92pwAcAxGHxt6lgMp8yAZzICk/dVsBm8zc7+DL4HsAxAo0MIoCGnSXkUAMdgBKuKabF8KjaFu3WEZE8CWI4QiJZ9G1WsRvwuk6xGPL3qc90yy/mGvC7BhoxumaWqos4grkEd29CrQUxHlfyHR9IBGoX667MfD+ZnWYb9+/djy5Yt2LJlS8dzYuChtcaFCxdw+vRpPPLIIxgeHsamTZuwYcOG2s5Uu93Gvn37sG3bNkxOTuJKcgXQgDZNaMP1IKjB1ZqyYjWVwsU2aU4bSmHI3invGfspAMAfn/0DYjXgEb8xlL0iUV7/z94Nkgw1LUigJpsrjFMj6CVGBXIaGYrSy60yfhQ+E4XyuDlgg7l7XZrENaby9wn8FFYGFS/HbAWHsb89HV/hQAeZ6qR3g0zgGlRbRLIc2srGDIqgESuQ+UYcnDffjwT5a0xGx/eM/mRPLEbcaXp4dhYt1UZLLSwJo1AXs7OzOHToUC1zMjAwgK1bt2Lr1q3Isgxnz57FsWPHMD8/31cRwUuXLgWARoYxBn/wB3+AY8eO4TOf+cyyekVW4tmPTvWFFhu9sBuJCbtFtAxqU9/yNuKcfaFx3Ho3ANtB5vS3OpwfsRuxnKrSy8HXSMipgjMI5FT+zJe2/kZvgAMIjeMOICghq5Ij0+Ic+X5wvhQ3OFgtrSLvimQ6SGIlQYdkOwBUSq1ounKghN8MYUKPxcuoJBCR4IK/B2yF0tXT4f0YVUxGLyADQF+yKd7HtQMaHViNYFpVmtvu8qmYvYhN4ZLVoC2G940EHnxsVaxGJ1N3HatBYEReieVhNeLoVuj0ugMbcXTLLFUVaZoiy0I9/QvG3hh0FElKIx4LBRp9ZsOenaxh8JWZj5c6Tq1WC/v378f27dsxMTHR1/mMjo5idHTU1T44deoUDh8+jJGREUxOTgbAY2FhAfv378fOnTsxNjYGANg79Wd44cS7aIOGGr4MmiqoGgUkVNgotVmyDACd02PEoOPdYz/pjunPLv5FcIw0opSioXx1co4cLaRoOKBBBrTCsRwx6pexoIgJGDDkMWBPREu1bZFA1qjSy6NQmQUfBCqC41AeMOTKFxLMVGjQpkvEVswCVTKqeNSJo63mLUD1HWFmdXK0oOxfDtbHFiajayga6XeOvANAbx2qqof+4SuXkakM82oe357+k+4bWWTMzc3hoYcewq5duzA0NNR1+Wazic2bN2Pz5s2lIoIjIyOYmJioZPDm5uZw8OBB3H333ZWA5nOf+xy+/OUv44tf/OJK0b7vwuhXSrUc7AYBgN7ZDTruxHW4uXvowYdnN3gNJdbuJKeqK/anbA2JajnVchnGga6AgzcdAQ63KgMGeV4V5nHqHPYGOrhmhwQehWK5iwceIbvhpTH83mItv+t4InyfMRjpNbQKr68ECPK7BBc8X4tlegEYtOziQAZts4bNAMpAI8qw6KaLqYuLbvIpATTcGl4+FQ9yVgGNOvkU/5XyqTjVrfzMcjxpCu+F1Yg9Gc8Gq9Hvr3NdvoXZ8wBUA4du0QtAib0bwfr2Z/vq9CeglKrsKB04cAC33HILRkZG+jq2+Di59oHWGufOncNTTz2Fw4cPY3R0FBs3bsSxY8dw6623Ynh4ODwGddl/MXQeBRI0VQqjqXYFp+fVCshAn/OMbvpUAavss/qvN/6I29TnZr8Mvq2Y1chNi/6iFXS8SQuaooEGsmgeexsAoGlCA3NLLaAJBhxtNGxhQJJREXDwDadBDHgUEhS20Sui7wCzGiHjEQcDI41yA09/fU3Wwpnj7bmhhQSpAxq5WQi2TaA2xVvWvbqv0dq4g8QDqwfnLiNXBdoqQ0vN4/Dhw64S+FKO+C8sLODAgQO44447sGbNmr7XryoiyAyeLCLYbrdx4MAB3HnnnZUMzVe/+lX84R/+Ib7yla8sq1RsJZ5bca3ZDa4qHrMbvvgcAYxYTsXb4MxUDCTqCv05FoK7GAJwmJraG7GcivbpO9i8HWJSI8DhwEXqO4dL7t+wBxCN+PM51mWqAlCZrSo2j3vWw4MOAm5l0EH1O5IS20HHUQ08AAEu7L9CSLR4ulyOIymNpHeOkoSqAlTIZWPwUQcwaPkyiwGgUi7F25IgA0BnEziA/v0ZNGdx0Q1o8FKpm1YFNOLifdIQ3k0+JbNPyVS3PJAqGTAGF7S+BxqS1agCGjLVrQxmNVx9l+cIqwFcp2BDRpqmWFhY6L5gtI4EG7eM/aC7OUlCBdd5NKIp4JuoQIH/d/o/VgKNy5cv4+GHH8Ydd9yB9evXL+6kKiJJEoyPj2N8fBxaa5w6dQoHDx7EwMAAzp49izRNsW7dOnc8h6Y+j12Tb3XHrJECpgFtjK3QrZHaG9WBDvhGXyug4JzjAni8Za1PJ/p/zf1/XkZljeMkqfKmcWO/JUjcqH8SaSVlqlgGHlwckD83MeCYDsk+aK5xYRvehkld3QsOXkaa1KtCAgtiJ3LfOCtdWk5GhpZ7kQFAZhZc5il+qWuT4YfWfH/fHaa4wmxsXm2pNnKVY0FdwYHTn8XFixdd4oH169djcnKy70rgcbTbbezfvx+33nrrktzXdUUEjx49ina7jZtuuqkSaDzwwAP46Ec/ii9/+ctL+nytxHdeLCe7UVWHgtmNuNp43BowuyFT4RaQhWB5OS+n0vByKT45mZ2qNzlVdTrc7oDDHtWyAQ5en8++u48DgPByeJajSlpFrAYto+3yEnTQYiHbQZkU0xLjUcBLZBh80IBVGYA4n0bQyV1cGxsDivizBBZyOoML9xkVnyMWg6bVgwy3Tg+SKXlMy+/P6AVoyHujO9Ao+TgYKHSRTwEIgIYEoFXyqTDBADMVZWlV9VmXWQ157s8FVgP4LgEbV1NnY+fYa3wjDg8opG+DQyuNr0/97zDGVHbcLl68iEceeQS7du1a1MhvrzE7O4unnnoKL3rRizA0NIRz587h8ccfx5UrVzA6OopNmzZh7dq1mMMleulhiPwQijrj2hiqZaFITiURNr9UCgMkyrgbvQp4/NCal/prY4Avzn8LcbpXBhxF5GOoi0y1XTrZTLVdliduXDl1HyC0zmIkKFd+nvwN5Xq5BUPxEyhfTIWtpeH2BZZaZbYZz+z5SVBawNgiVByvH/rnVwUu3LGJaYXxoxgPzp9DrnK01ALmcAlJkgSJBxZTCTyOPM+xb98+7Ny5Exs3buzvZHoILiK4fv16XLp0CVu2bEGWZfjWt76FoaEhDAwMYHJyElNTU/iZn/kZfOELX8Dk5OSSH8dKPPfjWrEbHFXshiwA2EuhP7eOgxUGzG6wnKpT7Y1CABE3X0iHGAd08m/EubNoRB/XCHAgOiAPOABABbIqAU8iaVWcscqYAspQx7E76PAJPzixi2SB5EBRzHrQZ9uB5qyMCGU6VdLgTgNbdHTlfot858jfrCStitgLnhcDDLmskaCkB5Dhr4UubbM3b4aYZ+csPhYHNMpb6ezTkPIpCTQCwCH2E5vCY/kUH5VkOOKz6sRqxMyFZDVkPNusBvBdADYW69moW8eb9Pz/AeBzD3wYzWazFmjMzMzg+PHj2L1797JKOy5cuIAjR45g9+7dTjPP0pSiKHD27FmcOHECc3Nz+PLXfw//6nt+ngzJIC+EVsb5H5wUTSUwRkEZhcJmrTKAa6YN/EtemRB4JBZ8JAp4/eoXuePUBvjKwkNOUsQ+DtbDBg01SK7Elcgz691I0XTgg4GHzBDFD3+BXGTJiihpeNBR2ES4HIUKU9A6A7utsgrYUUEpN0D4EsjRgkbhXmCvXXXPkoALty8xT56ZBvDgwgxylSNTbSxgFo9N/ddg3U6VwFevXu0qgXfyPBRF4ZIPsCdoOUJrjQMHDmDr1q0umQIXEfzrv/5r3H///bh8+TJ+4id+AuvWrVu241iJ757ol91IAMdYdN12BbuhxTw3sBXJqVwiC/ed1pS1N3jYwzMa6AlwQElm1Bf8q8tQdS0AB03tbB6HlT/xbgNml5kaZnX4eww6OCOXAB2w7TYNLlUBjyIAHnTVaXSbpvkWmVkQGd48HmXRq3F0xO8uCRZK02oAhpsmgEUnkOGXqfJl0J66ejPsNFrm2QMafnEPNHqtpyGBRqfifcyqSbkUgFr5FDMXsXyqV1YDQKmuhjz/XliNaxXXJdiIPRuLrbOxY+xVkOlr4yxCGhoHzv0fLjXtY489hqeffhoTExOYnJx0oOL06dN46qmnsGfPniUroFYVnNWnDtCkaYrJyUlMTk464PG5v/ll/OirPuKe1waow54jgWHWwBhApQCMM5EndqSO9MiUwaoQgINTDaZKoeCBKQVw0fJEAa8Zuis4Pm3oJfF3rcOV58epYhtOPkU+j5aaRxODKFSOxCQOgBhoZ5h0zINdBoCQWmkYOy1T7doRJ1nwyEmfoMGQRYaBxr9cddeiH+peAQYQgQw7L1HE0BQqR4YW5vSFjvuLK4HPzs5iamoKJ0+exKpVqzA5OYmxsbEg6xMDgC1btiwrk2CMwcGDBzE8PBxkbeMigq94xSvwe7/3e/jwhz+MU6dO4Y1vfCPe9KY34Rd+4ReW7ZhW4rkVTgKEkN24GilVML0DuyHn++10Zzck4OC9SrN4IaZxKyalVTRFTBOAw0AHcqq4unj5+L28qmuF8WsKOOgKVAMOu7SUVdmJkuWQfg5nIlechcrKprhGh5tOnUsvQ0vd9Bh40Bn7d0YMQNx0VccWl+sqVYUEFXLfGh3ARgQEqqRSNL1cK8N9rgEZ8bKV3oxgepVsiuYsPnoHGr1UCK/eQxlo1BXv82yFl0/FpnB/tN4U7vflgUY/rAadT/UV6sZqXI2EKpZwd4rrEmzIWGydjU7Sq8Nn/4v7XBQFtNZYv3497r33XrTbbUxNTeHgwYMwxmBgYADtdht79uxZ1qw4U1NTePzxx3sGNBJ4tEE1IIwqADMEKCAxBrmoGeK5a0vdG7LypXZcjl+AhW3o+Uz5Zkzt++dy5pvgNWG2UuogKOBVQ7eVjlcb4O8WjgIgkOFYDuvzYOBRKKrlwcDAP8hC8iQkVOzTyCMWo6q6t5RdsVzq5atu8cd+ldEPwKDjKa/Lr+p/XDiFTLWQI0cLs3hy5ms9H4dSCuvWrcO6desc8JiensaDDz6IgYEBx3gcOXIEo6OjHdM2X20YY3D06FGsWrUK27dvL82fnZ3Fj/7oj+IjH/kI3vCGNwAAPvCBD/T9zK/ESlRFL+xGnIGqjt0geZOqfJi5OyKf6U5mcW5vabAkZDRo3Wr/Bh17ubq470T6I6qvMB4CjugM3dEvDeAAKn0c9pjqvBweMNhpNaADYlkoXxiQJVZ0JkkJVEipFYCgoxpk+xIdSfZ+LCY0qoFGPK8KXMjvMcCgeUsJMvwy3dkMmrv4KAMNP6saaLjZUeE+OT1mNdweekhzW1dTwxvEy5IpyWpUnmVFxXB/TOFZSBDyXGI1gO8SsLHYOhsnzv4NFhYWsHfvXuzcubOUopaBhjSCDwwM4MYbb8QNN9yAo0eP4sKFC0jTFPv378fk5CQmJiaWnN04deoUzpw5g3vuuWdRgObY1FfwvMnXwIB8GwWaSNEg6ZJpukrdKRJkprCPirLZVkh4pCzbAQAp/Ps0DUYYFYEUGtDDM9b3zeg9Bh8yEgW8cuiWrufiOt0G+G+t45WjkNwosk+EgYVCiu8d3BaMACzng1kHLupGCOJzCUYVonkMNNqYw7Gpryz2EAEAa9euxdq1a3HzzTdjbm4OU1NT+OY3v4k0TTE8PIxWq7VslchPnDiBPM9x++23l+a122382I/9GN773vc6oMHRj+dkJb6zg+99yW7E85eD3SilwoV/duNUuLLuRmI3FrMbvnq477Tzd1lZPAQcXk6VAEF2KjcAJDvKPcupaO0gJW4N4FBBp3IpAQdvw18J5+MIQEe0hmQ6hLQKqAcdUnYbsx0x8KB9ReyF8fIpzm7FIYEIv2t6BR0xyKBz8G+CAHRUyKlMBDa6AQw/LWRGEC8D3RVk0LzlkE0Bi2E06HMSAI1+5FN+b/U+jTqgES7nTeGeCalnNdx+I1YjMHirsK/Cn681q9HpV73uwcZiPBsso7py5Qr27duH2267LUhRa4yB1roENOT8I0eOQGuNl7zkJVBKYX5+HlNTU9i3bx8ajQY2bdqE8fHxUjGyfuPxxx/H+fPnsXv37qvqYLX0bAiR+YWjOIMTVYygh4esicYoaqLtG6lhCIRoYxzw4OYlFS+eRrAbD0Autv3Nv2Fgcb1898Ap4PuHbl7UNpY2imWfAAAgAElEQVQj+mUt3HpdthOvqg3wjewxFMiQoYUFfamfw+waQ0NDaLfb2LRpE2666SZMT0/joYceAuC9QUvlSeJ6G3fddVfpGSuKAu973/vwAz/wA3j3u9+9JPuT8Tu/8zv4oz/6IyilcNddd+GP//iPV9LofgfFUhrF69gNjn4K/XWTU3mQEAEOo+DM4oAHBaKzW+ffqEqH2wvgAASA6wI4lkdSxQfD2wllVTS1WloFsPSL5jn2AmHmKtoGvdHqgAdtU3RcAQc+eH1apprRkECEQ/conYqjTkoFlIEFLV8GF3IZCTB4uY4AA6gHGcG85QIZwFIAjU6Zpzr5NFLVDIBGlU/Dsxgx8FAloMHfe5VPxUHLyCvTudF7tlgN4DoFG7JjslgZVavVwr59+7Br167AcNoNaGitcfDgQQwNDWHnzp1u/tDQELZv347t27e70eEHH3wQg4ODmJycxPj4eF+shDEGx48fx5UrV3D33Xdfdb2EJ2e+hm0TL4MRmZtS1bQvMTquhjFoqgY04F6SCgqJIfBBmZ5oemEMUgE8vNlcIXOjTf5FlIgRQQWF8y0CIBsXCTquZdQV+qqLbpKouu279cV02Xjwcgw0WnoWT818vfsB9RGSaVBKYdu2bdi2bRtarRamp6dx8OBBFEXhgMdiK5VPTU1henoau3fvLt3bWmt86EMfwtatW/GBD3yg9AxebZw6dQq/+7u/i0OHDmFoaAhvectb8JnPfAbvete7lnQ/K7F0wZ3wZ53dKMmpQplVt5BdXAk44mJ/NCdMh1vl32CTc51/o1uGqsqif4sCHKi5or2GPLgK0BFJq+TeqjwdDDqAkO0wls0IgIcAK0b+HmDwYeVpdWADIQC4mjAdwIYOGIWYmegMMMJllwNk0Nyri/gJvrZAI06B28mnwd8l0PBzQ6DRT89NshqxfCr+vJysRjDdzuh2h1+XYEPGYsDGhQsXMDc3h5e+9KVBZ6kb0CiKAgcOHMDIyAi2bdtWu/3Vq1djx44d2LFjhzPi/tM//ROGhoawadMmjI2NdWQpWMdeFEXlqO9i4/Hpf8C2iZcRmwFrelYWeJgG2qrt7rhEKTRNEwlg3QvGPlBUHTVVCbicEgMPILwh+QyJ6ifwwXKCRAGZBmYWjHvARgbtNmru+qVG7b12EOLluxmlgOoHs1ZWVbFMonxHQdbW+Fp+EDlaKEyGtp7t5/C7xhNPPIHZ2dnKe25wcBA33ngjbrzxRrTbbczMzOCRRx5BnucYGxvD5ORkz+meOVXzPffcU3oOjDH47d/+bVy6dAmf+tSnlhxocOR5jvn5eTSbTczNzS2rL2Ullieult2QgKNqICHsTofsxtWYxZOKrmns3wAQpMMFdMm/wZWzHThZJOBwx+AyNi0GcMRXdDERQ0bH86DOz0FX0/pYKkFHKLFyhwnUAg+aF9XpsLIrWt0DEADOdF4VdV3NTuBER9sKMiHWSKzqAEa4Tq8gwy/bm2SK5l5dLAXQkFvrH2hI+VSVT4P3xayGO9IuPo2lMoVXFfALrliwbH9RpaDoN657sCEzU/USZ86cwcmTJ7F69eq+gEaWZdi/fz+2bNnSV8dE6uEZeBw/fhxr1651GYDkyK4xBocOHUKz2cRtt9225J2ttp5nASHtDwVSNKGVRsMCjgYagEmQqcxhdHoJWaCBBLnJ0UASAA8AaNiWnuVWAJzkKuHqujbDFX/mbC0zCzRxdLC6gV7MA7CYqCqc1ykWw1p0WkZOM9HfHC209Rxy08LUub29HWAP8fTTT+PcuXO4++67u95zAwMD2Lp1K7Zu3YosyzAzM4NHH30UCwsLGB8fx8TEBNauXVu5nWeeeQaPPvporf/oU5/6FB544AH85V/+5ZJWP5exdetW/OIv/iJuuukmDA0N4VWvehVe9apXLcu+VmLpYqnZjbqIn/3u7IZYF539G9xOBulvbQsSZ6diORXXE4L77r0aSmxBAg5nJFdpADhKhmd70YxkA551wMHbgdh2Zz9HL6DDS6w8iKkDHrRaGXzwdMBfw0KwEeVaUr0xHlXpcGMAUwUu5Oe+AAbwHAEZQJVsiqb2CzTKKW79tkKg4aeXgUadT8Onti1norJ7d1PjqAIaQLV8qhdWwx3/MgtDemU1gO8SsNFrPPHEE5iamsILX/hCPPDAA256N6DRarWwf/9+bN++vWQi7+c4OQPQzp07cenSJUxNTeHYsWOuyvPGjRtx6NAhrF27Fjt27FiWUd3TZx/A5rEXO8DBD5aGhlG+weV5A2aAQIatZks1OujWy50pTVbHVWioBIB/2Ra2cCCNxtGbzTVRAoAYu+Xphf+fvS+Nj6O40366R7LkQ5J1jozlA98HtmSbI7AEWAyBEAgGWyK/DSEJL0tIyLuwJCzk5Zdzc7JsNiwkYXdJ2N3EEoc5zGUbcEICAcJhHZZvGxtbNjOSLMm6pZnuej/UVHV1d/U1hyzLevzB3VX/Oro13V1P/S/68ivLDfle8NM+/BMELwQxhfIiQU7VNiIiITnimH+MvYc4GUKcDOHj9neRLkSjURw7dgwrVqwIvMDPzs7mBDwej5vyvBQXF6OsrAz5+flQFAW9vb3YuXMnqqqqpEEUNm7ciCeffBKbNm1K2dfJDZ2dndi4cSMOHjyIqVOnorq6Gr///e9x4403ZmzMcWQGmdJuyELhsgW21Vmc1VmjVumSjTBV0O6K5lQ6NJN2QzSnsobDZYRD5r/BCIeKkIlc8HkKZCK9hAOmO5X6IjSNpIPNWejW0HbIiQc9tZMP2lYV2rKmdr+OZCBrbyMdUpJgJxhmWRmJONkkA8g00ZBpPVi5qoSkRMPJT4NrNcRji1bDaj7FtBoyWAmFTKvB3m0yrYZToJtUV43JbuqOSbIRdBFOCMGBAwfQ09NjM90ghEDTNJBETglr3/39/WhqasKCBQtMTuSpzp/lPCCE4MSJE/j444/R1NSEKVOmoKKiIi3jyEAIwVC8i/4yVEBFduLh0rmWgyj0f5UAw4m8FPTBIvyXzMhFFglBS7y2aNBcAo3ovD6ksF0CY3zxw8kfRmJ8ztgrMDKoIZwj5j0B70s8Nq5Nfs26RU7sKwhcncADtiGWRQ2bk8z5lO2S6oghToYwHO/G8PBwWqKetbe3O5o0BQULjFBeXg5N03D8+HFumpWfn4/Ozk5UVlbyZJQi/vznP+PnP/85tmzZkrQfiF+89tprOPPMM1FaWgoAuP766/HWW2+Nk41RDEYqMq3dCJLojzmLQ6gLak5lEA62WQMT4dAS5lNQYCMcRLHn3+D3RyAibO1vz8ch3KyUCQdgfjOng3AIE+PwSzrMo1u1HaKmwqzxoH3T9oafB++Hbcaxc8WdZDjldnAyu3KqdyYWdP6yct9aDKGeyriRDCqRHmSOaPAAAB7mU05EwxrS1mo+ZSUaTKuRqvkU02rIzKcyFerW6a9p1Wp4kZAxSTaCgBCCXbt2gRCCqqoqE5kQiYZsR7enpwfNzc1YunQp8vPzMzI/lrisv78fCxYswKRJkxCNRrFnzx4UFhZyjUc6tByEEOzfvx9v/OVZXPLJzwEAshQdOmLIUnKhgGbyDiEbOmjW1WySkwitmIW4EkcWsqASNfHZoRqPUEJ1HIeGLBJKaDESC2RuTmCYVwHgDyElJ4IWhN2XxJevZYD+1CsmCsnmhGvySxq85HTivNAQIX76/JpEmdpLtBni/IwHmzres3vzh9hfECdDiGm92Na4BY2NjVBVlTtqJxOatqurCwcOHMhIjphQKMTnNjg4iPfffx+TJ09Gc3MzCgsLUVZWhqlTp0JVVTQ2NuKee+7BSy+9lDZC74aZM2finXfeQX9/PyZOnIitW7fi7LPPzvi448gMrNqNoITDaVns5CzuN/dGEMJBhIW6mXBkAYjzixIJh57Y3pERDl8Rqqw3y0Q4IHUaZ2JWwkHLrWZVbm/KILAyIwhjqKbFsSIuwmXEgxiJe0WNh4x8sHI2Dm8DUbthN38STam8SAXt09nn1N5eruUQ50ZPPDQYNhnr32ikSAZgkAlxhS0QCXY/A4a3pbJmohFSsk19OBENGhJHHuY2hCwp0RDdx/0QDSv85NSQaTXc7qwXbH/1FP7EpzXZYBmQJ0+ejHnz5kkdvp2IRldXF3bv3o3ly5f7dnxNBsPDw2hoaMCsWbN4luaioiLouo7Ozk4cO3YMu3fvRlFREcrLy7lJSlCwcL0AsGTJErR1bEdp0TJABULIhgLqn0EUGpdbgcp9OVSoiCOOLJKFOOKAQj+GWYT9vIxEU5RkGL9YwnfsmJox4WROCC8DEuYFMBbZ9JNlmGcdGRiGDmDGxAkZ892gZgdIXIvzq1XzOX6wkLcEwpogMY7RQUwfQFzvR3vnTgDArFmzMDg4mHRo2u7ubuzevdvRpCldiMfj2L59OxYtWoSSkhL+u45Go7jtttt4MIRnnnkmoxo9Eeeddx7WrVvH/UZWrFiBW2+9dUTGHkfycNNuZCoUrptpplfuDdPOeoJwOC09uQmVhXBQ86qEFbiFcMgcxmUZxkOKCo3E7ISDDiwlHIBwf0WtANHp7j6E9mDlmTSrYpOzDmwlAxJthyhu7UU4IaKMiXwY48hMqKx689QjU3mbUtnGcdWEuMl5kYx0f2yT0GYkykVtBdNmMBmZMzgAG9EQ+3DKEJ5sPg23sLQi0RDvhJ+cGrY76GA+lSpkeTX8ajUAQPFwns7Qsi2z0DQN8bgRx/qtt97C+eefb1qEx+NxNDQ0oLS01BY5ihCChoYG6LqOadOm2aJDtbe348CBA6isrMxo7P3BwUE0NjZi7ty5KCkpcZTTdR3Hjx9HNBpFT08PSkpKUF5e7uiEawVzOp8wYYKNdJUWLUNIyUFIyUKWmgMF9KEMwdgByEYOfwiZqRVTJ4bAwuYavJZpOlTh4TPUj4rtoWQPrAibjGKE2Z2Rm5PRH67fULd+k/PZ+zc39NKQvDr8moloyDA4OIi2tjZEo1EQQlBWVoZwOCz9/fb19aGpqQmVlZUZNVnSdR0NDQ0444wzUF5ebqtvaWnBl7/8ZVRUVGDXrl1YuXIlvv/977tGehvDSONnY/RDUZRvAvgXAKWEkHY32eKsMPl0PtXEuu3w2ZwnA87JaZfP6cNLQEwyuqSOgD7vlJQQvqFCQDdT6HGiHOyYRv+jhq0adIXwEh06dIX+ryHOzwk0Q4Zo0BBLyNO8CqycQAfLMi3maGAyLLO0OVyqmG1al5jkmO39R8bWH5D/hVWLhPVHYd1YFBe8EjNSW5QjZ582J5Mpv3DTgtgIjJR8OBAMifzIajIAJ20Grck80XCKPBXiZuR2ohFClo1oMPMpmgLZTDTSaT7lR6uRqfcd4PzO29T9OI7Ho9KhxqRmw7rAZuFvmSnI8PAwtm3bhlmzZmHatGkmWV3XeUjZvr4+RCIRHDx4EJMnT0Z5eTmGh4e5s2wmd3yZL8jChQtRWFjoKquqKkpLS1FaWspt4ZkTrkg8ZGB5QSZNmoQ5c+bY7l1bx3aUFC6BrmQnojTEEx8uDSGFhb4dAkA1IGqiRFPoOQglfZoS58SDaUGYVkOBCl2hL0IVCiceukLtkVmUKyorEBThmCS2nTRCcGhgALMSdv+ZjFCl6e47mwxByQVgbCDKHngW5pF9EDQyhJjW5zpGbm4uD007NDSEtrY27NixA7quo7S0FOFwGBMnTsTAwACampqwbNmyjBINQgi2b9+O0tJSKdHo6urCjTfeiB/+8If41Kc+BV3X8e6775py3oxjbEJRlBkALgdw2G8b9kyMlHbDPF+5ORWsx0BK5lSy94jMYRwEjhGqaB+J3BsJefeQuOZRRadxY/GqJu5BIhysScMRxI8DkL/1koW7eRWVEEysbNoO89yss1IQkizSddgJS6LOpg3xD1dtiAMJsZtfBSUYkjYJyfQivUTDaGuPOsVH8BnilvZjJxpOkaeY+ZRtvIBEwzxXu/mU9djLfCpV+CEa8t+PgTFJNqwIhULQdXprBgYGUF9fjwULFti0BZqmmSJOTZkyBfPmzePRofbt24fu7m6UlZWhp6cHRUVFGYkI1dvbi+3btyflCyLawmuahra2Nuzfvx9DQ0N8UcnMvnRdx/bt21FQUIDZs2c79hnTepAdykNM74eqZIMQDapoTqVkQ0UosVtG/TXYy0BThBcDMz2ASnN2AAkfD1qhJkiFrhD+ctUVw1QKMDQgtDuFm1LRMRW+6DgwQBffZ+bSa7VGcmLHqUaocjOZkpEIMewlvYbEfIRj60LF+hDTRRPdGd0yuBEaGcaJ7o98zzknJwcVFRWoqKjA8PAwWltbsWvXLsRiMQwODmLRokWO5DQdYH5SU6ZMwYwZM2z1AwMD+PznP4+77rqLh5xVVRWf+MQnMjancYwq/BuAfwKw0Y9wso+vaB3kB9ZlcNDM4n7MqazjMcKh8dC4CYIh9d9QealThCoVAFFC0ghVzoTDOJdHqaK9BCUctItMmlUJF89hNa8CH99kYgW4Eg9rryIUl6m7kRHnRh7O4o4+HZJ2Uo3HSGsxRHiYTQGBiYZb1KkguTRYnYxoeEWecjKfEomGG5zMp6T3x6G9iFS1Gulod9qQDU3T0NPTg6amJixduhRTp07l9V6hbQFqOjVhwgRcfPHF6O7uRiQSwd69e1FYWIjy8nIUFBSkhXicOHECO3fuxLJly1Je8IVCIR79Jx6Po7W1FXv37kUsFkNJSQk6OjoQDoelCz7TnLqPoCB/BnQSR5Y6ESThREWgI6Rk8Q+MGMEhBGAIMYSQzX9ksUQUK9NuEaF9AOwjCuiIwYjsoHENCEDJB4MYoUWESEj2D/ZgXi7dDWfEQBWOIXx0g4KZbbFjv20YxBbUnMIqKycaeqKBDiCuDwQiGlZMmDABFRUVCIfD+OCDDzBt2jQcO3YMH330Ec+JkW6fpAMHDkBVVcyZM8dWF4/HcfPNN2Pt2rX43Oc+l9ZxAaoxueWWW9Dc3AxFUfDb3/4W559/ftrHGUdyUBTlswCOEkIaA0cVHAHthtMy2I92g0WnMi1zmebCQbthjKvAGg7XiXDQbON0sjLC4RYS1w/h4Dci0Sdfmwv3GQTcx8HsOM760fl1OUerMrVKE9y0HXQO1neuTeMBSMmH0d4jibDghO49W78JiR2+YL7IhUv7ESEZgDvRsJMMem6POMXkgkadSirErUfkKZn5lOmKXcynrHdGZhqVKadwK9Kh1QBOE7Khqio6Oztx8OBBVFZWmhbxXkSDOU7rus4zJxcWFqKwsJA7sx49ehS7du0K7CthRWdnJ/bs2YOqqipp+M9UkJWVxfMdMO0OQJMY6rruaL/PwAgHAKhKDETNgQoWASrOSUdIyYYOQEsQDQ0xfiyDroSoUzlgeoB1qFAV42FmUE2LdUOzYe6TJOopCdo91IWFEyi5ZPbRYrSHeII06ML/fsHsqwH5QkT2yTQ9vIkFEjtm9exFwsiF9dPGjlMhGgzMf2nu3Lk83CtLxrd3714MDw+bkvGlgsOHD6O/v1+ahVzXddx5552oqqrC7bffntI4Trjjjjtw5ZVXYsOGDRgeHkZ/f39GxhmHMxRFeQ2A3XYOuA/A/wPgmUFRUZRbAdwKAJOUPP7MWAkHw0iEwpUTDiH3hs2cylwXPByuE+FwjlBFy+h7ORnCoSgJTYV444QXoFOkKpuWg7f1o+UQB0kXZNoOcVwGO/kAYI5qZYI/zUXqTuJiZ26+HE73zW38TBEMIBjJMOr9Rpzix0n6aFiJBvM/TSbyVLJ+GuDycqIhajz8+KYFhdNf37osshINL5P1MekgTgjB8PAwP3/vvfcwODiIc845x7Sg9iIazJ9h4sSJmDt3riuBYL4SkUgE/f393Bbd765wW1sbPvzwQ1RVVSUVptQvYrEYGhoaMGPGDO6DEo1GEY1GAQDhcBjhcNjRHyU/bzpC6kSoShZCag7UhJYjpGQJD7EKlp8DAH9oGdixiURYXiqiTSTd09P5gy620aGbZHVF58dWLJpQzImEdZEhbtxZ//cLuy228wMo+wjYNBuydsLz+kT0/gCzk0PTNDQ0NGD69OlS3wmAkpG2tja0trZiYGDAZI4XhFR//PHH+Pjjj1FVVWWL8EYIwfe//3309PTgl7/8ZUayg3d3d6OyshIffvhhRswfM4xTbsJBoSjKMgBbATAGWAHgGIBzCSERp3ZFWWFyRd4Npo8x4L7zl2lncQA2h3Amx5zF+TkER3IYGyLJOIyz87ii8RrmMM7PE2UaYokx/TuN0zlTB3HRaZxeu4fjOAAIMqY3nNR53CIjvfPphtsvwf2d5G0c49TQ0q+PcLgyeO8unyyCAbiRDFrLHl7VJmPNnwEYZlNWbQars5pNsbay8LYyZ3AAnkRDAU1inCmiwe6AGH3K6jDO759E8yG7615weq8B3loNnQBbep5Ax+nkIC7i2LFj6O3txdKlSwMRDU3T0NTUhKKiIl/Rb0RfCbY427dvH4aGhlBWVoby8nJHbUUkEsGRI0cy7nTOwujOnm1kOp8wYQJ3HGahUlmOBkY8xGzN3T1HkZc3DSF1IqADuhLjhENBQrNBACgx6CQGFr0qjiH+EDNNBxEeF52TDPbRSexIKLSWkQoikAjjk5Uo4w+oyj+wIjlpjkWxJKuMP1CadffTUu43hC1ta2go+DVZNBjWcqv2gs6dXZOx2AgpiinZoWmnMgUwn51wOOxINACqFZs2bRqmTZvGs4AfOHAAAwMDKCkpQTgc9tTmtbW1oaWlBStXrpQSjV/96lc4dOgQ6urqMkI0AODDDz9EaWkpvvzlL6OxsRGrVq3Cgw8+mNHQ1ePwD0LIdgBl7FxRlEMAzvaKRsWQrHYjGXiZUzFYk/1x8y6msVTM/hu8HZCShoM5lKuAo4aDKKrRRqEEwarhCCm0J431I1yTuCvDM2kTavpDk91ZzKoSu/42sypHXw5+Jyx33tw6vXDSeADyxbroQ+g+J0cy4pNc+DFVMeDV50jtI8uuOVVtBpWRmU2JcqLZFAA4hbdlGg2nqFNORMOoS55o2O+WP6JhapMh8ykRqWo1gDGu2Th06BCOHz+OSZMmobS0lDuEexGNWCyGxsZGbnaUCmKxGFpbWxGNRqFpGl/AM+3F0aNHEYlEUFlZmfbEaSKGhoa4qYxbGF2GgYEBRKNRtLa28szPpaWlnHjk5YWhKhMQUifSR0zNTmg1shMPMdtFyIKeMK8CwP8HYNJ2sEdP1HCoQhkjDkwVz+pZuZVYMC2HTMNxVtYZ0odDjPJk/d8JXjbg4jgyQsHHJjRDvfg82vb0BJkNrf/iPKgPEELQ3NyMvLw81+AAbtA0De3t7YhGo+jv70dxcTHC4TDy8vJMz1RXVxf27NmDlStXmogrQ11dHR5//HG8+OKLGdXqvf/++/jEJz6Bv/zlLzjvvPNwxx13ID8/H//8z/+csTHTiDGv2bDCL9koygqTT025IVBYSLGOj5fEHB3NI112AZl2g9W7hcOlfRHEBXNNq4ZD4/oKs3bDKSQugY444jwkLu1Th0YEzYaDhoPOxwiNK2o4aJ08NK5xnCAdTuFxAdPie+TC5PqB319IZjZLnOFXE3Ky75cXyTBknJ3AqUwQoqEIFhZuplM00I1gdkVUZCHLmWg4mE+xlYtINNjdyBLWm1athkxrwchG0PdZqu8yINj7jMm80nuaaTaYn8XQ0BBWrFiBDz/8EJqm8TqWrE9GNIaGhtDY2Gja/U8F2dnZmD59OqZPn46hoSGeZE1RFGRnZyMWi6GqqsqUxyPdGBwcRENDAxYsWOA7A/PEiRMxe/ZszJ49G/39/YhEIti2bRtycnIQDofR2XkUWVlZKMifAUXJ5r9CoupQiApdUaGQEDQlhpCSTZNGWaAhJuw0JP4+YGpMnWs+9ATBoBlxmcZC558pJqfx5IEhI7a8wrLBGk55DdphLFdn8gfFrN2gT45GSEK7Qc/dTKJk2cXdXv9MayGeq0IZq2e/TVGroblvDvgCIQS7d+/mf+NkEQqFOHlmZoQfffQRent7OfFQFIUnB5QRjVdeeQWPPvootmzZklGiAYBH4DrvvPMAAOvWrcNPf/rTjI45juRBCJmddFuLplHmLJ5ueEWnMskl5mL4bxj1bAcUAuFgvmRSbUpikSP33zCHxDU0HFQLoSvGgl/1EaWKRqMKmcpMah6TJsPQcABM6yNEqwJctRzs2k6elsMK6zhOP6SgZlBWcpIuf46TtVecXm0GYJhNGcdmouHmCM768fLREMd3S9rn5RDudEdEP1GRaJjukoRo+EEmQnozWIkGLw/4+xqTZEPTNGRnZ2PBggVQFIVHo/IiGiy3RZBFeRDk5ORgxowZqKiowN69e9HR0QFVVdHU1MQ1B+nWbrBrWrRokSkCVxCwHBxz5sxBb28votEo3n//fUyaNAl7972PefOqQBSNmlMlfpEhNYd/hOJkiGs7dGKYXQH0g8QczVUlBA1GLHLCI3ZQB3JFQjAAg4wogryh7ZC5VQP1+gFUqXNoqfAwmT5nxCiLMxMC2B86sd4KRiBE4mCfjZ2AMFmrjE4InknRV2P//v1QFAVz585NqR8R1pDLHR0dOHjwII4fP45wOIzBwUHk5OSYnrm//vWv+MEPfoBNmzYFDvGcDMrLyzFjxgzs2bMHCxcuxNatW7FkyZKMjzuOkQEjEtYAC04fYvtGQ/AdQS9zKr5wt5hTiTLg9WZzqvQ5jNsJB39/EoDuFOv+ncaFCxcJB88jYeUACtNqWMLjmsynJCFyAYlplUwvPNKkg8FpvKC/olTJxWgxQEmGZBgyfomGkyM468PqCA4gkDM4nZHwLwDRCOKnwa9eMZtP0WsT76q3VkNEurUaVpg2VQWthhfGpBkVQDUUDIcPH4aiKJg2bRoIIVKb8J6eHjQ3NyeV2yIICCHYu3cvNE3D4sWLoSgK+vr6uAA5u2cAACAASURBVMnSxIkTUV5ebstangxYJuhMXBMhBL29vYhEImhvb8enLv8sVDUXADWlUpWsxMsgZHoZqBJzKnqeZbxEhBeETjSTozmDCuPeyKwfVUmZDCuUhY6veqt2wQqr2ZMIL5MpsQ+xzEp4mLlESFGhJXb77n1+HQoKChAOh1FYWBjIx+HgwYPo6+vD0qVLM+okPTQ0hPr6eixatIibEnZ3d4MQgu7ubpxxxhm49dZbsXHjRpx55pkZm4cVDQ0NuOWWWzA8PIw5c+bgscce80yaOUpw2plR+UVhKEwuz7tBuiN4qpgfyBzGudlUGhzG3UyqrE7jzGyKztPdrMor2zi9Ph9mVUCaTKtkf5FxZBaZJBlUzo8jOIBAEaeovL+oU5kgGqL5lNVPA0IdOxbv6mgwB2XnosyrPU+gU5ObUY1ZsjE8PMwXcC0tLeju7sa8efOkC/iuri7s3r0by5Yty6izKCEEO3fuRHZ2NubPn29b7FkX8Hl5eSgvL0dRUVFgp1lGntKRr8MNoslabm4uzj77IqjKBDDSIb4QuCO5hXgAgq+GYiYRqviSEcmG4kw2aHZcjR+7QYeGs5XljqSBylh2+hzkxFk4kQuxztqXLPSuTFX5XOsD6OzsRDQaRVdXl2/iceTIEXR0dGDZsmUZc8IGqJ9SfX095s2bZ9IQ6rqOxsZG/OQnP8Hbb7+Nyy+/HLfddhs++clPZtSMcIxgnGw4gJENwP6xBk4u4bBGp2J1VsdKRjhk/htUbuQIB0l4gYikwotw0Dmb/ThYmZV0EE4cnH056HmqpEP2lxlHeuD0lCRBMhL1MpLBzmUkQ6yzOoL7MZsK7AyeIaIBGOZTfsLcQiLn9VdxQ7qIBnCakw1CCPr7+/HRRx+ho6MDBQUFKC8vR2FhIRRF4ZF1KisrXfNMpApd19Hc3IwpU6bgzDPP9NxVZjvAkUhEOm83sMSAy5cvzzh52rNnDwBg4cKFfKc/L68EijIhod3IFnYf7BoOcVeCnQN28sGIh070xIvFMJ1iKnkrGRG1Il44G5U2giBqLvxqAbw0HbbyxEIBML+c2eKBXVE8IfNS289t4/khHm5hZ9MJTdNQX1+PmTNnSn2e2tvbsWbNGvzrv/4rdF3Hhg0boOs6/uM//iNjcxojGCcbDigMhcnqKTfY7J2Bk7c7CKSXcFgdxkcb4aDzctZy0HqZ87hxV0TZ5EmHRU6QGkc64K7FoBLBSAYtU6Ukg8k7OYEDZm0Gqx9tRINdlZtD+MkmGkByWlkmoxNga+9pSjbi8bgp4hRbmEUiEZw4cQI5OTkYGhrCypUrM+qcysLoFhcXY+bMmYHbW+ddVFSE8vJy5Ofn2xbBTEtTWVmZ9sSA1jnt3r0bqqpy3xgrpkwphqJMSDz0Rh4OANzMCjB2IhThxSTuZLDIVnRcjcvz3Bs+kiixPkXfDnbM/j8bq7isTJvhNYrsEydqKWTZxm0ZwqX9GjJWsiHCiXjE43EcPnwYK1euzKgGQdd1NDU1obS0FNOnT7fV9/b2Ys2aNbj33nvx2c9+NmPzGKMYJxsOKAyVkdVTPiclEyOp3QDSt0toJSOjmXDQOXrn46DzFnNveGg5AIlplXgXkQTpoJLjCAJvLQaVcicZVMbbZIqdy3wzxDpr/gyzo/epRTTodY0ObSyQnFaDko3H0am1SqczJh3ExaR+oiO4oigoKipCUVERDh8+jGPHjmHSpEmor68PnITPL9IRRlect67r6OjowJEjR9DT02PKWt7Z2Ym9e/eiqqoqo1oaZg42YcIEzJs3z3HXv7f3OIAE6cAEKISSDoB+TBRiEA8GFkJX1FQQhEDIkEFAiDncbVwIrSuD0U880XdcWvYO3sInlAt4RvG4GEYFRqZxwDB5YsfS+2TRWGjCh1H8DIp+HYxYqFD4sTiWG8TfCSMeTKMXDofR1dUV2MfDL9hvoqCgQEo0hoeH8YUvfAF///d/nxGioWkazj77bEyfPh0vvvhi2vsfx+gG3W1TeKQn/kwR+w6gqR2RO1omfJ5Tgnd2cfpuEPNvWB3GpRnGWf+JjtPlNG7aUCHUMdw6X9MGjAK+YrFGpiLQE5poo4zeCPlNlkasguEobkStYk7kiSuyRK6iMmwwmcecOIlx0uGOJEgGAGuEKSoTstRZiYZcm8HK/BINJicm7jtZREO8W9bEfbAcp0I00g0vZ29Z1E1xc8QJY5JsRCIRXHbZZbj44otRU1ODs88+my+wCCH48MMP0dfXh3PPPReqqkLTNLS2tmLv3r2IxWI8CV+qC3aWRG/WrFkIh8PpuDSoqoqSkhKUlJTwPAcHDx5Ed3c3dF3H8uXLM040duzYgdzcXM+s6gwm0kFUQMmyEQ+Akg5NN5L/AWxXg+1WGARESySRYhGr4mSIy/MEUwmIzuJsh0xDjBMWUU5PXA7bJaTJwYzFvkgYnMLQWrUgBMT0uRM1FSoUbiLFxhVlxFC8m9t/IR1PBhaFbWhoCBdeeCH6+vr4bzxZ53InEEKwb98+TJgwQRpKV9M0fOUrX8Fll12GL33pSymPJ8ODDz6IxYsXo7u7OyP9j+PUgEguRCJhTfQn01RmIjpVEMLBZKwJ/8SPuBihymqVMNKEIwQVRKFaDhCYCIeCEAjRzCREGEdMAshunBixissCBulIRK2iZfLIVbQrJ9LB7oD41xIudhzwSzCopBPJMOSdTKYAb22GUeYcbYr1JzOboj2PHNGw3R9J5CnwNsaVB408lWnzKV5mqRPfQybTUJ+PzpgkG9OmTUN9fT22bNmCRx55BDt37sSVV16JtWvX4t///d9x1VVXYc2aNXyhHAqFeIbkWCyGaDSKHTt2gBCC8vJylJWVBc7sPTg4iMbGRt9J9JIBy3PAxjvjjDNw8OBBTpjC4XBaTal0XceOHTswefJkzJkzJ3B7RjoAIG9KKQjiANQE8VChJRwNRbMqQnQo7COiqCC6zgkI/TgZWgpA0GIQQ+1u/rwYHyvrfpcO4C/aazhfXc0fLHGx75gBVgIvcyiGODcTsPttsBnKXmRe6Onpwa5du1BZWYmcnBzk5OSYNB7pJB6HDh1CLBbDkiVLbORT13Xcc889mDFjBr75zW/69n0JgpaWFrz00ku477778POfO5uZjWNsQ8ytIdNu+MksnslwuDKIhIOFvZURDlZHYCYcYkhcgpEhHEAIClET5lRmLQer14nGbwQto/52rIxuFInmUMaNtiiUDdLBz0XSwSCQDi5j/OX8azvECZ0O8Pp1+9VimOWDkgzWJhlthlEmN5ti9ZnWaABm8ymRaDCtRpDIU36QbqJh3T91yxRu8nH18byMSbIBABMmTMA111yDa665Bj09PXjmmWdQXV2NsrIyLFq0CC0tLaioqLAtfrKzs3nyr8HBQUSjUTQ0NCA7O9t3LgyW22LhwoUZD6v58ccf4+jRo1i5ciWysrJQUVHBCdPOnTuh6zonTKn4pei6ju3btyM/Pz8toUp7etsAAFOmFALIAjUEYPc1kdCPf3QSLwxiJyAM/AVmaWNH3HNub8Zfxt9kfdpg9onZyT5ARp2cTADB/DaoFsTcjw6CV9of9Jw3Q39/P5qbm7F8+XIb2bSaWnV1dSEajSZNPFpaWnDixAksX77c9iwRQvDAAw+gr68PDz/8cEaIBgDceeeduP/++9HT05OR/scxukH9GQxCwcypAINIWAkHYF5UO5lTJQvxbeGm3bDWc/LhQjionJxwAOkjHDQTMnX41qFCEfw4nMyqFND3s5uWQ1ESOTUspIO19U06AElSwMTVOWg7qCyBdRF9+pCPYOSCtpC08emTQctSIxkAPLUZtNdg/hm0TfpMp9iViUTDICHuRAOQHLP751Cf7q+pLJAFYCcaVq2G1bfMCWOWbIgIhUJ46qmncOedd+Kmm27CU089ha985SvQNA1r167Fddddh9LSUlu73NxczJo1C7NmzUJfXx8ikQhPZsdyYVgXZb29vdi+fXvG83UAdKHX2tqKFStWmBx/RcI0NDSEaDSKpqYmqKrKiYcsm7MTGNGYOnUqZs2aldZr6O3t5MfUt0OFkbBPTXyA4omPEgDCXkSWKFT8w8Q+MiwRoHzRbI1exc7Zh++N2Av4m+xrDL8JGdFgoWpBkvTbMJtTiWMRkES+dCNalR8MDg6iqakJZ511lqf/kaIoKCwsRGFhYVLEIxqNIhKJYMWKFVKZxx57DB988AGeeeaZjEXAevHFF1FWVoZVq1bh9ddfz8gY4zg1YE3mh8SOvIxIyMyprMSEIRnthhX+CIfZR8ONcPAFjoVw0GsL5sNBx1CgKyqAONVGQE04jvszq4IQFdBNyxFKkAuZaRWDX9IBwJaJ3FIt4QxeGg8GL/IhHW0Uwe8vVv5e9qvBoLLOWgzAP8lg7WQmU1TGW5vByoOYTQFACFmcZLDrH0miYU3q58d8Khk4aTWcIubZ2hNDRpbczw1jNhqViM7OTvzhD3/A2rVreRkhBC0tLairq8PTTz+NqVOnorq6Gtdccw3y8vIc+yKEoKenB5FIBMePH0d+fj6mTZuGwsJCdHd3Y+fOnRnPbQHQRIXHjx/H8uXLfUcYGhgY4MkDJ0yYgHA47KmpYbkRko2kFQT9/f1obGzEWWedhby8vITWw/DtMFS01p0So47BWbNhtCe2DwqFaIJ1Yc5aTiq0xIdKJBBOREDUeLBz2bFIKsQyK7a2P+R4PQzDw8PYtm1bStniAZiIR2dnp5R4dHR0YP/+/VixYoWUuG7cuBGPPPIINm3ahEmTJiU9Fy9861vfwu9+9ztkZWVhcHAQ3d3duP766/H73/8+Y2OeJGRGLTQGMDVURi6ZfAM3VQD8fdzF85NhG+0n4guT0y31xjFgzcEBMJ8z8I0QtyhVvE8kH6mK9mGPVsXLPULk0nLnqFWsTLxjtshVAOQhc8W7bJcz5N2WO06RrZwwUkunoL9K500fbw2Gub2MZNByb00GO3ciGYC7NoO1z4TZFJ1xeokGOx4r7yJWZtVqvN73BLocolGdFmTDCyyMa21tLZ5//nnMnz8fNTU1uPzyy11Nj9iijBGPeDyOJUuWoLS0NGMmIwC4Q3gqydmYpqatrY1raoqLi03ERdM0NDY2orS0FDNmzEjX9KWwEg0ZGPkAhJ0T4YVm0nRYoNhemmYQy8dH/IBdmPM5KcHwIht+ysX2YiQqdq4rOv7U9ivXuQNGIr25c+eiuLjYU94vZMRjypQp3HRP9nz8+c9/xne+8x1s3rzZlNQv03j99dfxwAMPjNVoVONkwwGMbABsxx+JY4V/4AHzR97pAy/KifWs72SQ6kdetptozcHB6sWQuGxsL8IBa5lPwkH7dw6PS/v1FyKX9eWUDJDVi+dW0sHa0QMn0iHebdhkjTZeS5+g5ONkwf27F5Rg0DbJazJM5y4mU6xPN20GO3cymwKQlH8GnXnyRIPOS0406LWOPNEAzO8hJz8N2XvIKaeGzHxqnGwEgK7reP/997F+/Xps3boV55xzDmpqanDhhRc6ahDa2tpw4MABzJo1C8ePH0dvb68pJG26QAjBgQMHMDg4iCVLlqQtkpCYtTw/Px/hcBgFBQXYvn07wuGwNJRpOuGHaMgwODiI1tZWLFlSmSixv/h4aESvXBxuZCP3CwCcCYQIJxnx42UlKVITLcUY34tseCXSSxcIIYhEItizZw+ys7MxdepUnmiS/RYbGhrw1a9+FS+//HLGfzdWjJON0xNTQ2Xkokk1nqYLwOj40AP+zBfSQTgI79uZcPD6AISDtnHOx0Hr/Ws56HWaE/6JWg7T/0FIB5Ay8WD32h9OFgnxtxZwDHKSBMGg5cmRDNbWajJllPvTZlhlrNoMOptgjuBGGznRoGPC5gwOGFqNVIgGkxPrjPudHNK54cHLRCIC+r75c/+T42QjGcTjcfzpT3/C+vXr8e677+Jv//ZvUVNTY7JRP3LkCCKRCKqqqrg5iaZpaGtrQyQSwdDQEA+lm0pkKEII9u7dC03TsHjx4oxoTgghOHHiBM82nZ+fj7lz52Lq1KkZ09QkSzSsEE3EsrKyuDO/aOLT1taGgwcPOpr+uOHKkjtNZgdW+NFwyBzJRVKhEpWf64nP/ptt7pm1dV1HQ0MDysvLk87j4heDg4NoaGjA0qVLMWXKFK7xaG9vx29+8xtccMEF+K//+i9s2LABixYtyuhcTkOMkw0HiGQDkGs3gJNrwgCkf2dRrE9Fw0Hb+E/+R/tzNqui83fXcoimV0Q0w/IwrTL970A6zDLOZMKTeFjkbVUpL4+8iElqm4mu0ROlm2/+CAatczZlDkoyAMNkisqJyX/NIW1Z+yBmU3Rm/h3B2b0LEnWKlaWTaIj1tE1yGAnzKXo8TjbSgqGhIWzatAnr16/Hvn37cNVVV0HTNOzbtw///d//7ej3EIvF0NraikgkwiNDhcPhQKF0/WTrThfi8TgaGhpwxhlnIDc311fW8mTR19fHnZlTIRpW9Pf3cxOxnJwclJeXQ1EUfPTRR0kRDYbLSv5B+DgbJk+OJlMJ4qAmnNpFYiH2YYX4gdxy6OeOjt7Mcb+oqCjjZm7Dw8Oor6/HwoULbf4gmqbh6aefxgMPPIChoSFcfPHFqK6uxurVqz0jt43DN8bJhgMKQmXkk5NqApkxQFIP+Pvos/6TQaYJB23n34cDkPtxiIQDALREFL9kzKpoO4N80OtIP+kQy2TaDta3cWKt80E+JO2ckDoZcYfvUOyOWn0XcmFpJ9dgGH0oJtn0kgw6irc2A3A3mwKoIziVkxMNsylVek2nIKm3/hVOBtEAzO8T2i65d84b/U/ixDjZSB+6u7vxla98BX/5y18wbdo0rFmzBuvWrcMZZ5zhuhBnkaGi0ShCoRCPDOW2IGOZmXNycnwn0UsWsVgMDQ0NmDlzpikJoa7rOH78OKLRaNpMxDJFNKzo7e3FwYMH0draiuLiYkybNg0lJSW+neqtWF3yfzlJsJIHwJlYMJgdwamMGAXLqgl56JXbEIvFUFpainA4zJ2t2e9i0qRJaQlF7AZN07Bt2zbMnj1bGrWtq6sLa9aswY9+9COsXr0ab731Fp599ln8+Mc/Tinc8jhMGCcbDmBkAwD/+FvNqdhxunYZabvkkEnCwfoXCYchayccvE5COHi/DloO2lbuPG6q82laxY5F0kHvgdm8Sqzz1naId9PF1ArwQT7MfUnhk4ikHV5mwhItiRu5oPXuBEMsdyMYVjnVVmcnGayNF8ngfUpIBoCUHMHpfMxEw3h/+HMGp7LyevOdPLlEQ6z3a77JxtCFTY1xspFm/PCHP8SOHTvwv//7v+js7MSTTz6JJ554AqFQCGvXrsWaNWs8nXTZ7ntraysmTpzIQ+mKi2Bd19Hc3IwpU6YklUQvCJiD8ezZs13t/lnW8kgkgsHBQZSWlqK8vDxQxKGRIhoAjZq0b98+VFVVYXh4mPumTJkyhTvFB/V9+duSrzuSCcCfxsI1WpWiQyUq3mr7TwD0b8PM8uLxOEpLS9HX14ecnBzMmzcvowSUmWmxpJdWDAwMYO3atfja176GmpqajM1jHONkwwkFoTJy4cRqR5MGIHlzKkhkeXmS801lEZBuwsHbwU44YC0TCAetk2s5AAQ2raLzCKbpYHWmc4mZVDqIh9ifHKPFYdz5W2YjF0BaCIapzIVkAN6aDNYmiMkUnZ2zNiMZR3A6p5NPNOj8k0OqfmJM1s18ymq6+ebAU+NkI53Ytm0bKisrTcSAEIJDhw7h8ccfxzPPPIOysjJUV1fjM5/5jGu+A5mDNjNX2rFjBwoLC9Oe28KK4eFhNDQ04Mwzz5TuXDshHo+jtbUV0WgUsVgM4XAY4XAYubm5jm1Gkmh0dnZiz549WLFihWmHnRCC7u5uRCIRdHR0cKf4oqIiX8Tj4tKvQYdhiMBeQ7YPVgJejuXiLiEA/pJ8p/VRm+zw8DB27NiBnp4e5ObmIhwOo6ysLK2Z4hkIITy/iizscSwWwxe+8AVceeWV+NrXvpbWsY8cOYKbbroJkUgEqqri1ltvxR133JHWMU4xjJMNBzCyAfgzbQCcCUfQWPcjYUfN6p2Sa/nddbQ6jnNCkYTjOO3f7jxO29h9Obi8RMvBjyVRq+i8g5MOc52zmZW9nN07b/Jh7dsd6SIjfh3BHTT3LuQCsBIMYzw3MynxOBmSwdrJSAY/FtsIRIP9M9qYfTOYfFBHcFpnJhoKLw9ONADz++VkEQ0g2PvFacNDZrIJYJxsjDQIIWhubkZtbS1eeuklLF68GDU1NVi9erWrrwZz0D527BgikQjy8/Mxb948FBQUZGz3mtniz507FyUlJSn1w4gHIYQTD/F6R5JodHV1Yffu3aiqqnIlP+yeRyIRHtqVRVhyu+cXln4FgJ1ImJLzJTQU7BgwzKzEMtqP+WOkQpWSjY8++gjd3d0466yzuD9QNBqFrusoKyvzJHt+QQjBnj17kJWVhXnz5tnqdV3H17/+dcyePRvf/e530/77ZEEKVq5ciZ6eHqxatQrPPfcclixZktZxTiGMkw0HFITKyAUTq1NeEIyWnUfAviBw23lkcl4LAirvP1IVrbP7cQAI5DxOy5zzcojHVvLgRDponbN5lanMU9sh3mlZncNGkofJlH8ikhwcCQUXkJlOScpc81X512JY5WXmUuxcJBmsHdNg0FnYtR5uvhm0jdwJnNUFcQSndc5Ew6j3TzTE85O9kQGkT3NK5enxW+Nk4+RB13W88847qK2txR//+Eecf/75qK6uxgUXXCD1G2AO2tOmTUNOTg4ikQh6enq4n0Q6F+lDQ0NoaGjAvHnz0pqbgYWkFX1TJk+ejJ07d44I0Thx4gR27drlSTSsIISgs7OTO8UXFhaivLzckexdUHqrqzkVgw6dv9zYueyYQEcIWdCh4/3W/7b1c/ToUbS2tqKystKmgRkeHubRuHRd52QvWZ+JAwcOYGhoSBr5jBCC733ve+jr68PDDz+csezgIq699lp8/etfx+WXX57xsUYpxsmGAxjZAMyOm0BmzKnEetomeYxmwsH7sRAOKm/34wDgGSKXnctIh5NpFZ2/O+mg58lpO6wyXloPXu6mrRgp3w0XXw0ZsQCctRfWOhnBEI/dtBjmem+SwesdSAbr3y2krb1MRiq8HcGp/KlJNADzOyUZPw0mG8R8ismOk41Rgng8jq1bt6K2thYffPABLr/8ctTU1PDkfO3t7di/fz/OPPNMk4O21U8iHaF0WRjTBQsWZDTx2sDAAA4fPoyWlhYUFBSgoqICpaWlSTtoe4Flca+srEzp/ui6jo6ODkSjUXR3d6O4uBjhcNgUjev48eP4zOJ7bFoJ3odEWyGTlX20Pmj9X9N5JBLB0aNHUVVV5XnvhoaGONkDwE2t/BKPw4cPo6urC8uWLZMSjV/+8pf44IMPUFtbm7G/o4hDhw7hoosuQnNzM/Lz8zM+3ijFONlwQH6ojJyfu87RrhowFgf0WBm1iwPAH+Gg7YLvRDIZr9C4vC/RhIqXe5tVUTl3Xw7exoV00Gszm1cxWb+kQ5QRy2UaD6uMAcl72zUs7siQDSdCAchIBeCkuTD6c9ZgWMfzQzKczKXoTNxJBpVx980A7E7gtMyffwYd3zviFCDXlDq9I0Qiws5lcmKdcY+TR7o2L9yIBj2W+4O9PbgB3eNkY3RhYGAAL774Iurq6nDo0CGsXr0aL774Iu6//36sXr3asZ3oLKxpWlI72IxoLFy4EIWFhem4HEeIplOKoiAajaKtrQ2TJ09GOBxGSUlJ2nbGe3p60NzcjKqqqrT6MLBoXJFIhEfjmjx5Mg4fPoyVK1fiworbHAkHIP/wuGlE6qO/N523tbXh0KFDWLFiReBQsqKWSVVVTjyczPmY+VJVVZX071JbW4snn3wSL7zwwohEmurt7cXFF1+M++67D9dff33GxxvFGCcbDmBkA0iPIycwugmHWO9EOJhMkIWCkx8HkDzpkJlWAf5Ih+04BW2HrL1YZj22tpXVszvjBjdCkgrkREKEl7mU3QxLpr2gcs5+G0G1GHRm7uZStNyZZPBzH74ZtNxdm8FkRG0Gna/3hgXri8o7vz+scrxsFBINJufXT0PctBgnG6Mcu3fvxqc//WnMnDkTw8PDuO6667Bu3TqEw2HfoXRVVeWhdN3ySAwMDKCxsRGLFi2y5UtIN5x8NAgh6OnpQSQSwfHjx7lTvJiJOigY0aisrAwUGSsoNE3D4cOHcejQIeTm5nI/iUvmfN2TVIhJ+0wyQjsVqolsdHZ2Yu/evVixYkWg3CwyDA4OclMrGfFob2/nSQ9lpGbLli34l3/5F2zZsiXjpnAAJdZXX301rrjiCtx1110ZH2+UY5xsOCA/VEY+kbtOIBSG+YPbriQ7PhV3JcX6VHYmqby7WRUb18t5HLD7ctAyf/4cvD4J0iGeOxEPNpbYhyhnLZeeS/wwvAlFugmH+zdSRkTciIX13E17AbgTDFqfOskA3P0yDFl33wx7GbvG5MymjLbgMl4bFUwOGB3vjkxqR98ZJxujF52dnbjsssvwb//2b7jooovw8ccf44knnsBTTz2FnJwcVFdX49prr/UkBgMDAzyUbm5urjSUbn9/P5qamrB48WIUFBRk9Lr8OoNbHbQLCwsRDocDZS3v7e3F9u3bsXz5ctfIX+mAqD3Jzs7m5m23fOoX9IPomF/DnzNhU/QJXsZMwqzRtNIBa8b1vLw8tLe3Y9WqVVJS88477+Ab3/gGtmzZ4hoaOV0ghOCLX/wiioqK8Itf/CLj450CGCcbDsgPlZFzc9f6NoNIdnfSj/8GbZc8RgPhYPNwC49L5+Huy0HbOZtWGfJm0iEjESLpoO3cTaxonaDVcNF4sH5EOWu507msL1t9mrUbXloNmeO4G7mgbezaC7EvK8Ggss4kQ2Yqxc79kgyjXG4yxeq9fDOonOEEunQf+QAAIABJREFUTsdWhNrg/hlMJh0+X2yMZOHnnQG4azX8aEWd/DRErei7g0+Pk43RCkIIDh8+bAtvSwjBgQMHUFdXh+eeew4VFRWorq7GlVde6blzz0LptrW1IS8vD+Xl5cjJyUFzczOWLl2acbv3ZKNO6brOHbSZnwRzinciHmysZcuWpZRk0A/YWDJSE4vF8Inp/8e0iyeD7MPE5FWonGwwApVukzAZ2tvbsWPHDuTk5CAnJwfhcBilpaVcQ7Zz507cfPPNeP755zF79uyMzoXhzTffxCc/+UnuzwQAP/7xj3HVVVeNyPijEONkwwH5aik5d+K6wLuUo3HxIPvgpsvJk8lYCQfry4lwMLkgZlWAWctB63VpmFyxTnQip3Nw1nRQueS0HVRG7rPhFgbX0Vl8hCJTeUWgkmo1AoS7lWkwxDZBtBgmOReSwcaVkQx27JQ3w5BNzmyKzkeuCaVjZf5dwcZJBukgGkzWz7vCSxv67sAGdOttpx/ZaGhowG233YbBwUFkZWXhV7/6Fc4999yTPa3AIISgsbERtbW12LRpE5YvX46amhpccsklriZTLJ/EkSNHEI1GUVpaihkzZgTSGgRFusLbin4SfX190qzlI0k0+vv70djY6DnWivCN0BDz7E9GSBjZGBgYQENDw4hcFxuLEaj+/n5umveLX/wCK1euxFNPPYXHH38cy5Yty+hcxuGKcbLhgHy1lJydu9b3bmUQcyrA3yIikwsIIDOLCDaW144lrfNvVsXH8KnlYMdWfw6bjNU8ysGZ3CQj0W4EIR5in9Z+3GRkSFXD4e2n4WRC5aXVCEYwqJw3ybARDktSPja21S/DKuPlm0HLkjObovL+TS4NeZjKRgPRAOy+F0BqfhpsHL9a0PcHnz49ycanPvUp/OM//iM+/elP4+WXX8b999+P119//WRPKyXouo4333wTtbW1eOONN3DhhReipqYG5513ntTfge2Qn3XWWTyDdnd3t2nxni7ikak8Gpqmcaf4oaEhlJWVoaCgAHv27BmRULrMz2XJkiW+tELLwze4ajcYrDI7o09z532/Y6WC4eFhbNu2zdGs7o033sB9992Hvr4+LFy4EDU1NbjuuusyrmkZhxTjZMMBeWopOSdBNgBj11Lm7AnIzakAb8IR1AabtksO6SYcTM5pMUHlnR0/3cyqjHNvXw4q6590UHlnnw7axp+2g16jnWjIyAeVdSYgYv+mMh/vfbf2IvyQCy4LCcnw8N1QHU2pQrYyVVLmpsWwtnUyl2JlQUiG0Y/cN4Me+zObotdhdwSnMunbjBDrRWT6/WA1ufT7bjDk7ZsRhrw9qMR7g0+jx4FsBAttc4pBURR0d3cDoLkXzjjjjJM8o9ShqiouuugiXHTRRYjFYnj11Vfx2GOP4c4778QVV1yBmpoaLF26FIqiYN++fWhra0NlZSU3+ykuLoau69wZuL+/n4fSTcWxOpMJ+1iujvLycsRiMRw9ehQNDQ2YOHEiOjo6kJ2dnZZEdjIMDQ2hsbERixcv9r34b4o+gbPC1b4IB0A/ZApCGB4eRmNjIxYuXJhxosHyucyfP19KNHp6evD9738f3/3ud3HNNddg165deOqpp9DX1zdONsYx6sAWz6pCk2qqUOhHMrGQIIRATxzrhFA5QhcABAQK6DkSi4pEUy4DWI5hlrPWG/NKbkHB2oiLClUxFgSKYiwUVDafRL0CBQTEOE/IqkLHOlGgKuaFh5oQ1BlpY/eJ3bPE7rCeuNchYWwdQAghsOUHuwo+FwLoUBKkAwhBhUoosVChcvOqEFiAcJoQlZIS1rcGwPAHYMQjBBWsVx3CuULPFah8YR9SBNkEyVASZWwRzMiHIcvuspmAsEW5SESsi343QhGETARpKzO1ciIWtC87kaBt7BqNZAmGOC8vcyl5ud0vg9b5882g7ewkg7axazP4OBYCcbLNLAF30ynAmWhYj9NNNIhtZmaMac3Grl27cMUVV9APja7jrbfesvlGjBX09/fj+eefR11dHVpaWnDBBRfg5ZdfxksvvYSZM2c6tovH41xrEIvFeCjdIIv3kTRnYjv/ixcvxsSJE7nJj6IonmFdg4JlV1+wYEFSIYKXhNcC8Gev++oHD+Po0aMpZ3L3A03T0NDQgIqKClM+F4ahoSHU1NTg85//PL70pS9ldC7j8I1xzYYD8tRScnYuDYvsFmUGkO9i+l1c+I0yY5Vh4ySLoHbZooxfsyp2bl1g0DbBfTnoseFAzsZx03TQcnPkKqMfd20HnYu7xsNUJolGJTO54ufEYlol2UjS/ZhSJem74ZktHHZCQdtZTahCjvV+yIVY72YmReu9tRi8zIVkGOVmkyk5+fDnm8FkWbmTppP36UEyxP6A0Uk00h0mm56bzSvfH3zGUbNxypONyy67DJFIxFb+ox/9CFu3bsXFF1+MtWvX4sknn8R//ud/4rXXXjsJsxxZvPbaa7j55psxf/58DA4O4vrrr8f1118vXViKYFmoxcV7OBx29Qs5GURDFraXhXWNRqPIzs7mxCNoXgqGWCyG+vp6zJ07N6Xs6ovDa/ixk6ZDhYr/evqbAIApU6agvLw8Y4kPdV3H9u3bUVxcjIqKClu9pmm4+eabcd555+Eb3/hGRnx7Nm/ejDvuuAOapuGWW27Bvffem/YxxiDGyYYD8tRSsjL3el9mE0HDWgJIS/x8Nk6yGGnCQY/tdtqs3LrYYH3IHMi5XIZIB6szyaZIPIx76ExAaFuJeVUAU6p0QG5CJYlIJSEW1jpRY5IswaDnmSMZYrmVZNA5+ffNMGTYdZ46RAPwZzpF2wrPd0CiQfv2F61u21gmG24oKChAV1cXFEUBIQQFBQXcrGqsYvfu3fi7v/s7PPvss5g5cyaOHTuGxx9/HBs2bEBeXh7WrVuHz372s55mOmJo1AkTJkgXwCNJNIaGhlBfX+8rP0h/fz+PxuUUBtgN8Xgc9fX1mD17NkpLS1Oe++LwGtPHkL3u2KP8xOZ/RllZGaZPn47e3l6e+HDSpEk88WE6iAchBDt37sTEiRMxZ84cW72u67j77ruRl5eHn/3sZxkhGpqmYcGCBXj11VdRUVGBc845B3V1dViyZEnaxxpjGCcbDmBkA5AvOrwWHE422oY8TGUnw0YbSD/hEGXdFhxMzs2Xg8nKHMjpud2fg5XrinFsi1LlQDqMtv5Ih7m9M/Gg98Yf+XCSMfpJTwQqJ8gIBSAnH07kgvYTjGCI/fk1lbLKiiSD1VlJBi23+2WYy2Gcu2gz6HU6P/dGH+w+sDZ2GfFclBXlrTK0bfLwSzQA940EJiuTCRI0wmmT4bQlG4sXL8avf/1rXHLJJdi6dSv+6Z/+CR988MHJnlZGEY/Hcfz4cZsWgxCCvXv3oq6uDhs3bsSZZ56J6upqXHHFFZ4mU319fXzxPnnyZJSXlyM3NxfNzc0jRjSYf0FRUVGgtiwMcHt7O597cXGxY/JAZmI0ffp0lJeXp2P6AICF4c86fpReffeX0tDH4tzz8vIQDodd5+6Fffv2Qdd1LFiwwEYkCCG4//778dFHH+G3v/1t2rK6W/H222/je9/7HrZs2QIA+MlPfgIA+Na3vpWR8cYQxsmGA6aopWRF7nVSU4pUo8+MJlttIHUzCtO5B+EQx0tWyyFqM6iM3bSKl6dAOpgMrQ9OPMQyW7mPaFQyEuImnwpkZILBSipk8l7kQiwPSjDE8iAkg7Y3m0ZRObvJlFHuX5vBjmVO4KzfVIhGJs0ogeAbDalGnmIyfqLTidrM+sFn0Xs6ko0333wTd9xxB+LxOHJzc/GrX/0Kq1atSrq/hx56CA8//DCysrLwmc98Bvfff38aZzty0HUd9fX1WL9+PV555RWsWrUK1dXVuOiii1zNjqyhdEtKSjBjxgwUFhZmLJQu85tIhmiIYHOPRCLo6OhAQUEBz1rO5q7rOhoaGlBeXp6xYAILwlebPmRb3noYc+fODTT3ZDKuHzp0CL29vTx4gBW/+c1v8Oqrr+Lpp592NZtLFRs2bMDmzZvx6KOPAgB+97vf4a9//SsefvjhjI05RjBONhwwRS0lVblrHHc702lOBTgvPsYK4bDKOREO1s6vloP1K2o52P9OpIO2sZtPyerEcjF8rlWezs8HybBqNTxC4jq1k8GNnIiQkQcrnMiH1YlchYu/hhPpCEgw2LFV3slcitY5O38bbcwkg8v60GbQev9mU7QdTOVjmWgwGS/zKRnR4P0lnuGGweccycaYjkZ14YUXpk2T8cc//hEbN25EU1MTcnJy0NrampZ+TwZUVcWqVauwatUqaJqGN954A7W1tbjnnntwySWXoKamBqtWrbItZBVFQVZWFnp6enDuueciFoshEolgz549vhLwBUUsFkNDQwPmzZuXEtFgcy8oKEBBQQEIIejq6uJzZ1nLDx06hLKysoxGLdsbfRHzwp/m5zJzJj9zj0aj2Lt3r5Q0WXHs2DF0dnaisrJSKvPss89iw4YN2LRpU0aJBmAsUkRkiqiO43SB8ZuiC1hjsUEjUhmLER6hihAoiUhLSERdort64BGqdMJXGlCpmClClRjFSlXoR5eN6xalis4weSgwL0DEaFkAzNGnkJgXl2GLJmOhAAAq61AiJ0arUpFYjAgRq9iF6oQgBHofaT9KIopVIjpYYgAeoQoQiAKLIqYmIlfpUBFKEA81UWtEqGIRrCD0TFg5l6N3QFd0UzQrHTpCQkQrJBbOLLKVrTxBMsx1AAQioAeMSBXKUCQqK6GQzceLWNjKk9BgyOSsWgxznT3ClL0cRpkDyWByXtqMdJAMUd4qw+vtRYEwWoiGMQ6xnBubBvIZGxjTZCOd+PWvf417770XOTk5AICysrKTPKP0IBQK4ZJLLsEll1yCoaEhbNmyBb/+9a+xa9cuXHnllaipqcGiRYugKAoOHTqEY8eOYfny5dx0qqioiCfg++ijj9DX14fS0lKUl5fbsmwHAXPQPvPMM1Ny0JZBURQUFhaisLAQuq6jo6MDzc3N0HUdU6ZMQU9PT1rzj1jxytu/xMDAAJYsWRJ4DHHuhBCecZ2RpvLychQUFPB+W1tbcezYMaxYsUKqBfnTn/6EBx98EFu2bEkp9LFfVFRU4MiRI/y8paVlTISkHsfJBVuAKollKV3aMDKQPOHwCol7MgkH64fBKzSuKCOGxwXMpEO3yDmFyAUAXaFLUOKTdLDZ8/ESy0or6WBhdBnxgKKCEwWojsTDVG8iHsZfRjGZWyUIiQ8CYq2j7cxExCzHLin9gT541w5aDTctBuBNLGi5mVyI9UEIhrlebhLF/vdjLsXKvUgGq5OZTInntJ1ZRiYn9guhjVWGtk0do4loMK2lnzw7ThjTZlTpRFVVFa699lps3rwZubm5eOCBB3DOOeec7GllDD09Pdi4cSPq6urQ2tqKiy++GM8++yyeffZZzJs3z7GdpmlobW3loXRZDo8goXSZRiNdDtpuIIRgx44dmDRpEmbNmsWzlvf396eFNFlx+PBhdHZ2Yvny5WklM4w0RaNRdHd3o7i4GJMmTUJLSwtWrVol1VjU19fj9ttvx8svvzxiC/54PI4FCxZg69atmD59Os455xzU1tZi6dKlIzL+KYxx9Y8DpqglZHnutQDkJheynVC3XVDZ4sRPSFyxzWjZ/QTcFya0vX/TKpkvB5MVTatYnWh6YZRZ5CxmVKxM5tcBwNW3g9bbTa1sMhazLCpnN7sy6twdxb1Mp6wmWMlCprkQ4UYqpPUScgE4m0eJfVgJhlXGTYtBz50dv2kZjDLh+aVl5mcYgGOkKXoeXJshkxXlrTK8HqlBtuj2SzRoe/8hbtl4Xj5ZslDXMqLRNLgRvXq79BaMkw0BbmF077vvPlx66aV48MEH8d577+GGG27Ahx9+eFqYgLz99tuoqanBvHnzoGka1q5di+uuu84zH8Tw8DBaW1sRjUZBCEF5eblnHgwWCWrmzJmeoXpTBSEEu3fvRnZ2to1Asfwj0WgUw8PDKCsrQzgcTimh3bFjxxCJRFBVVZUxB2yAEo+WlhYcOHAAOTk5nDSJ2pp9+/bhxhtvxNNPP40FCxZkbC4yvPzyy7jzzjt5mN377rtvRMc/RTH2XzRJYrJaQpblfhZWG28v+26/DuNGe3B5ANKQuGKbsUo4zOdmwkHbCrbcws4oLTPvjprGcCAdjnUS3w5zvZ1cuBEPaxtrTgwvAsLlfPhj+HUad3MGZ3Dy63AjFrTeTi6sck4EQ2zjpsUw18v9Mex14GX0+szO30ZZQi5JbQZtK5eTyYryVhlej9SQDqLByoIQDSbnh2gwWVl46+2Dz6NvnGykhiuvvBL33nsvLrnkEgDA3Llz8c4772R85/1k48iRI7jmmmuwfv16LFmyBEeOHEFdXR2eeeYZFBUVYd26dbj66qs9s4Zb82CwULqiQzrLal1RUZHWSFAysOhcAKTRmUTEYjFOmjRN4/lHmEmdH7S2tuLw4cNYsWJFRvJniOjv70djYyMqKyuRk5OD9vZ2RKNR9PT04Pnnn8fll1+Ob3/72/jNb36Ds88+O6NzGUfaME42HMDIBmA3xfDrMA64Ew63xcqpTDhEOetCRGyjW8s9tBy0rXnhwmTFxYtpXKHOjXRY6xnpEOWDEA+xzHasWAmGnUg4mY9kOt+GswmVvdyaFNCLXIj9ByEYVMbdVMrc3qyFNJUlYTJF27Nz+zNpJRms3DyuUGccnvJEg8m4EQ12LDOfcgtrzZ7LcbKRBjzyyCM4duwYfvCDH2Dv3r1YvXo1Dh8+POY1G5qmoaWlRRqaddeuXaitrcULL7yABQsWoKamBpdddpnnIlwMpTtp0iTu4NzU1IQzzjgD06ZNy+QlAQD279+P4eFhLF68ONDfcGhoiBMPv4kPjx8/jgMHDmDFihUZd8Bm+UiWLl1qI4ADAwN49NFH8eijjyIUCuGmm27CDTfc4BkNaxyjAmP7RSNAUZT/C+DrAOIAXiKE/JOb/GS1hCzNvcZm++0VJtONcPg1w0hlZ3QkCAfgvWARZYjQQzJaDnrublrFZN1IB4R6pwhW5jZybQeV8Ta1EuWs5dJzxU4kvLKDe9m0e0FGIkTIsoyLpELWh4xciOVOJlJ2OWcSYf5fldTB3MaDZADeJlPm/mBpa5aTyYryYhurjNE+NaSTaDB5v2aQfogGbw/7cyk+kzsGXxgnG6lieHgYN998MxoaGjBhwgQ88MADuPTSS1Pu94EHHsDdd9+NtrY2T7Ok0Qpd1/Hee++htrYWW7duxbnnnouamhr8zd/8jesuPiEEPT09+Pjjj3H06FHk5eVh7ty5GQ2lCwAHDx5EX1+fYxhYvxATHzppa7q6urB7926sXLnS1XwsHYjFYti2bRsWLFiAwsJCW31/fz/Wrl2L22+/HVdccQWee+45bNiwAXV1dRnPlTKOlHFakA1FUf4WwH0APkMIGVIUpYwQ4hr6b7JaQpbkXm0z0/CTZdhKOJIJlTnaI9gAyWs5TGVJkA6ZaRWrM8l6mFeZy4MRD7HMUZsh0XxY5a11bmXWPjMBK5Hg5RJSYjehctBsOGg8nDQYYlkQLQb9H+ZyB3Mpk6xHlClzf7C0NcvJZEV5sQ2vGyVEQ5TxSzTYudPz6YdoAGbzKauZ487BF8fJxmjEkSNHcMstt2D37t344IMPTlmyISIej+P111/H+vXr8d5772H16tWorq529FPQNA2NjY0oKyvD5MmTEYlE0NXVhaKiIpSXlyM/Pz+txOPw4cPo6urCWWedlVa/ib6+Pk48WObv3Nxc7Nq1C1VVVYEc5JOBpmnc10UWKS0Wi+HGG2/EVVddha9+9asZncs4MoLThWw8CeA/CSGv+W0zWS0mS3Kvoe19Eg63+PxONuCnEuEAgi1iAP87pk7yfjQdtA+5eRWV8a/toOdy4iGTAdw1H3ZZd6Lh6LPhU4PhJeelyfCS8/LZ8CIWYjkjFmKZSYuXAsEQ62Ukw4+5lLlPmOSB4BpIsY0oY6q3FwXGSGk02LnVdIq2kRMNJMr8Eg0A2Dn4Avr04+NkY7Rh3bp1+Pa3v41rr70W77///pggGyIGBwfx8ssvo66uDvv378dVV12F6upqzJ8/H4qiYGBgAM3NzZg2bRoqKip4OxZKNxqNore3FyUlJdzBORW0tLSgvb0dy5cvz5iDNsv8feTIEXz88ccoLi5GRUUFioqKMjamrutobGxEOByWRpXSdR2333475syZg+985zsZ1RrdfffdeOGFFzBhwgTMnTsXjz32GKZOnZqx8U4jnC5kowHARgBXAhgE8E1CyHtubSaFisninM+YFjiyzMOZIhyj1dkUSI+Wg/YjJx2+FkBcxm5eZe7DHr3KKDcvkESZIMTDJCfRfFDZ4CZUbsRhRDOIy7QaHqZUzloOxVaWDMGgx0Z7VbH3QZ8tZy0GhHonkiGWBXkmRXmxjUyOy9iLAsP6bKYzqEMmiQY9ZrHgzGW7hl5CvzZONkYVnn/+eWzduhUPPvggZs+ePSbJhoju7m48++yzqKurQ2dnJ6655hps2rQJN910E77whS84ttM0DW1tbYhEIhgaGuKhdINGhWKRoCorKzPuoD0wMICGhgYsXboUhBDXrOWpghCC5uZm5OXlYfbs2dL67373uxgYGMBDDz2U0ShYAPDKK6/g0ksvRVZWFu655x4AwM9+9rOk+/v2t7+NkpIS3HHHHQCA++67D+FwGP/wD/+QlvmeQhgzZENRlNcAyCJA3AfgRwD+AOAOAOcAeALAHGL5UCmKciuAWwEgW5m8alnu9QBgswkPSjj8JAYbJxz2dl5aDnEeovkG7cPbxMpc7q7toGVm4uElB5jJh7VORhikJlU+Taf8aj98azckJlVyR3E5saB92LUXtI2MPMgJhrnO0t6HFgOA6dsoM5eibax9G/K0D2dZsUxsY21nleMy9qLAOBlEgx4HD3ELOBMNNg77PY+TjZMEt1C6P/7xj/HKK6+goKDgtCAbIo4ePYqrr76aZ8Zeu3Yt1qxZ45klnEWFikQi0HUd5eXlCIfDnr4Q0WgUR44cGZFIUMxBe/HixSgoKODlYgK+EydOpMVMjEXUUlUV8+fPl9Y/9NBDqK+vR21tbcav3QqWmXz9+vVJ93Ho0CFcf/312LZtG3Rdx/z58/Huu++mPdHjKYAxQzbcoCjKZgA/JYS8njg/AOAThJA2pzaTQsVkYe5Vpp1Yr4zEsp3W0UA4MrW4ATLvyyG2CWpaRfshljGDkQ5Rxi/xcJLl5w7aD6NtaqZUqcKvCZVVViQW1joZcRCPvYmIpS4gyRBnng6TKZm8UxtjXNgwUs/haCEavE8J0YBQLmoK9wy+7Eg2xjOIZxCvvSY3O96+fTsOHjyIyspKANS8Z+XKlXj33XczHvL1ZEPXddx11134/Oc/j2984xs4dOgQ6urqcN111yEcDqO6uhpXXXWVNJFednY2pk+fjunTp2NoaAjRaBSNjY0IhUI8h4fonA0AbW1tIxZyNhaLobGxEQsWLDARDYC+SIuKinjG9Y6ODhw5cgS9vb0oLi625cHwg4MHDyIej2PJkiXS+traWvzxj3/E888/P+JEAwB++9vf4oYbbkipj9mzZ6O4uBj19fWIRqNYsWLF6Ug0Tic8B+BSAK8rirIAwAQA7X4a6grhiyi2K8cWOCzTND0mEJdjOiF8UUOEcx3gWcZFOSpDFyQsgzjtly5gCIE0yziEdkwWgrxYL4LONnUosC90xKzjAHxlHqdzsmcfJ8Row+sYAZRlIWeNEjBlI2eTgUEu+IKW3wyamTwEkTAoRh1YO+bcbJAAVagXZVnmcn5/iNgmkVXcpAFhvykzuXDNKJ4CvPJuyM2onIkF7dOdXFjbBCEYolwmSIa5H9jqRpM2A8gs0ZDJWMk9bWMnGpDIiZGn6Lno20RMz4lVKyjDuGZjFOB002y8+eabuPDCC01lzByotrYWL730EpYsWYKamhpceumlnpqL/v5+RCIRtLa2YuLEiSgvL0dJSQm6urpGLOQsS0Y4e3awrOeapvE8GP39/Tx5oFfW8iNHjqCjowPLli2TmkZt3rwZDzzwALZs2eKZAyUo3DR21157LT9+//338cwzz6RsMvbEE0/grbfeQiQSwRe/+EVcddVVKfV3iuJ00WxMAPBbAFUAhkF9Nv7g1mZSqIjMz/00RGdWmf8GINN6mBdIbjH9Zbbjp5pJFeD8Uc+UaZVY76TpoGVmTYWTeZXYzurbIY5hautDk6Fb7oz1nNjqnaJQjeyyyUomeLkLqaD1zufefhr2ft0Ihljv5ZMhtgtCMmTyTm2s7axyIjL13I2k6RSTc8t94xXiFkzOqukQgi7sG9yEfq1DesvGycYoQKpkY6w55eq6jrfffht1dXV4/fXXcf7556O6uhrnn3++Zyjd3t5eRCIRRKNRxONxLFq0CGVlZRn1VWARtaZNm5ZSjhCWtTwSiSAWi3H/FGskq2g0ipaWFlRVVUnvx9tvv427774bmzdvlkamyjT+53/+B4888gi2bt2KSZMmpdzf8PAwli1bhlgshn379p0ULc0owGlBNpLBpFARmZd7RcJYykw4ZOE4ZYQDMEyqnJxWgxAOow1MZTI50xxG0S4rlwtAOsRyP6TDXMbO7WTBSjxEORNhsZha2cayyMllrA7i7iRE1ocTkjWv8uO7YSUTRlsvkiEnFqKsjFwAdhMpWm+uE9sH0WKIY2VSk2GVNfpKD/w8Z4GfFWInJEGJhkjYZaZTrE+r6ZSpXCAaBDr2D24ZJxtjGel2yh1NiMVi+MMf/oD169ejvr4el19+OWpqalxD1544cQI7d+7E3Llz0dHRgc7OThQWFqK8vBwFBQVpjcak6zqamppQXFyMGTNmpK3fWCzGM64TQhAOh1FWVobe3l4cOHAAK1eutJmMAcCOHTtw880344UXXpA6jGcpFo2gAAAgAElEQVQamzdvxl133YU//elPgTQ8XrjtttswdepU/PSnP01bn6cYxsmGAyaGisj83CsAwJNwOCUXk2k4aH92wvH/2zv3IKmq699/9szIGwQEhAEfEMMjBonAgIkaieGHGBBkhPHFjeUjlL/kl4BKboyTpG7FH15DSFS0TCrxUT8jj0TkSgofhIdG1CAgCgYVo4JxgBEoQcAZGKZ73z/OnO7dp885fU5Pd59uZn0sSnrvtfde3dNM72+vvda2/x5UcIB3lCPK0rg2YTZDiX4P27A5HeaYINEOaz5v4WGOd4t6pPlozpFFJMNLeGTqywVO0ZCpL0ykI5O4MO3dohfmHM6Eb6edVxTDbAuak+Fs9ytn67R1+pMLsjk2ZdoErQKXTY6GNU+4S/tS2h1CA+Bfx1bRKGKjbZCLpNxipbGxkZUrV7JkyRJ27drFFVdcwfTp0xk0aFDiF9rhw4d55513GDFiRKJilZ0jUV9fz5EjR+jVqxf9+vVrdSldrTXbt2+nc+fODBw4sNXPzws7P2XPnj00NDTwpS99icrKyrSjYf/+97+ZMWMGixcvZvjw4Xnzx49zzjmH48ePJ/IqLrjgAn7/+9+3as54PM7IkSN56qmnXBPh2wgiNjzoWN5Tf6nDf7QICPt8fllawrj19+wFh9u3s1EKDnvdXJDLo1XWfN7Hq8yxGY9kJezcBULQiIdlkx71MNd1zmOO8bJP2mWOWLRWfPiJi6SNWwUqN+HhFBre9m7RC8sutd+cx01gmLapAiV93aCFFNJ9Nf7uMdZpZ1LIf0+FFBr2uLBCI2Hn1q50itCIE+fDY6tFbLQVrrjiCq6++mpmzpwZtSt55dChQzz99NMsXbqUo0ePUl1dzZAhQ/j1r3/N8uXLPXMe7ByJ+vp6jh07lnUpXa01O3bsoLy8vCAb4KNHj/L2228zdOhQPv/8c/bt20e7du3o1KkTffr04cSJE0ybNo2FCxem5cOUMu+88w6TJ09m2rRp/OY3v4nanSgRseGBLTaAUILDryQuFJ/gcNolbFxek2zIRnBAuCiHc7yf6DDb3aId5ni3ezuctm7HrZw2zvWd87mN9xvrR64u9YPgR6isNv+xbtELy87LxpjL55iUOUemqEQQ0Z3LaIbpW2sJGyksFqFhtwcpcWsLDas9nvi7iI2TgEIn5ZYK9j0WDz30EA8//DBVVVVUV1czZcqUjHkrJ06cSORIxGIxTj/9dE4//XTat2+fcd0PPviAEydOMHTo0Ly/1va9HcOHD0+JxnzxxRc8//zz3H333cTjca655hp+/vOf5/22ciES2sY/6CzoWN5TD+z4bcp0mSEgvAWHX0lcqz2Zv2Hbmd/imoIjbA6HNY6U9mISHFDcosP0L1O0I90nd+Fh2TkERgYB4pw7va8wWyf/o1Tp+AkLt/nCCAxnu18Uw+nLySAyoDiEhm3rFBq2f2Hu0jDbMwmNuIqzs3GtiI2TnVwn5ZYSH3/8MVdeeSWPP/44Xbp0YcmSJTzzzDOcccYZzJgxg4kTJ2aMXNhHlT799FPKy8sTORJuVax27drF0aNHOffcc/MuNJqamtiyZQtDhw51FU/Hjx9nxowZfPOb3+SLL77ghRdeYPLkycybNy+vfgkFR8SGBx3Ke+hBHccDpAkOvwpV4C443Mp4iuCwyJRADrkRHYHHJtoyC4/0+Z2CIpVMAsTNNzdyfeNGpniHZ5QjhLBw2qdv5HMnMJxz5FpkOO1TbN2bs6JUhIbbPTVhhIZtYx6fsi+z/KhxDcdiB0VsnKzkKym3VFi/fj3t27dnzJgxiTatNVu3bmXRokW88MILjBgxgpqaGi655JKMZXAbGxsTpXQ7dOiQKKVbXl5OXV0dBw4c4Lzzzsv7bdx2Od2BAwe6ViqLxWLceOONfP3rX+f2229HKUU8HmfPnj0MGDAgr74JBUfEhgcdynvoszteaggLb8EB4SMc4C44EjY5Fhxmm2lvjnGzS9ikN2VNPkSHNW/+hIfV7i4+rDW8+zIJEGuM97bIS5DkG6eQSOlzeUf4CQtrjGHr0+d2RMpqN9fKjcDwG++cw80+xda9OStyITKseXInNIKWt4XcCY04cXY1rhOxcTKTq6TcF154gdmzZxOLxbjlllu48847c+1qJMTjcV555RUWL17M+vXrufjii6mpqWHMmDEZBYNdSnf//v1UVFTQ3NzM6NGj835vRzwe56233qKystL1osd4PM4dd9yRqNBUiGNzCxYs4Mc//jH79+9vM3fCFBEiNjywxQYQSHAEjXBY7f45HAkblzsDksKExLz24yB3BBSL4IDciQ7nGC/h4JwnrPCw+swxwcSHW79zvNcabuTrOFWmZHGvXjdR4he1cPZ7iQurz1y/dcLZa7y7v6RRCJEB+YlmmGO87tCw13a7myZo1Sm73U9oJNoDCA1AxIaQmVgsxuDBg1m9ejUDBgygqqqKJUuWeN5OXao0NTWxevVqlixZwrZt27jsssu4+uqrGTZsmO+Gfd++fXz44Yd0796dQ4cO0b17d/r27Uv37t1zvtHXWrNt2zZ69uzpWk5Xa829995LXV0djz76aN4jLGBdInjLLbfw3nvv8cYbb4jYKDwiNjzoUN5Dn9VxXEqeBpSO4IBgUQ6/TVaUmytoveiw5g4X7UizSzv2ZPY5x/kLDLd9kddxqKDRjNZupoL+LL2iHK45HD7Cwm0ur+iF1RdMIGQTxXDzrdhEBni/byE9QmHN4x7NsO1LSWho4nzc+JKn2Egv1C+0STZu3Mg555zDoEGDALjmmmtYsWLFSSc22rVrx6RJk5g0aRINDQ2sWLGCX/7yl+zZs4cpU6YwY8YMzjzzzJRfwp999hk7d+5MRDTi8TgHDx5kz549vPfee/Tq1Yu+ffvSpUuXVgsPrTXvvvsuXbp08by349FHH2Xbtm0sW7asIEID4LbbbmP+/PmJYgSCUDzYH6RxFGXEiSdEg/13+zBAGWXWh6e223VLu2r5sHVrhzJ0YjMUR1OGSnzgl6kWG62to4wkN0Yaa6MT19ZGSKfMY1GGtclQysOupc2cF2OMbQPpmy17/Vxhz+XcbJU5/ICkb/YGyvY97jHGfr4andKXsjl1bMbM5xs3btI253D6Za3tfKEc4sPl93g57iLE/vmHIahA8Tse5Wrv0e71uRRGXFj9jnmzEBhO21ISGRA+mgHhhIbfsSnn+kGEhrleroRGcv2k0Ej3LhURGwIAu3fvTtncDhgwgNdffz1Cj/JPp06duPbaa7n22mv57LPPWLZsGT/4wQ9oamriqquuYtq0abzzzju8+uqrzJ07N3F0qqysjNNOO43TTjuNeDzOgQMH2LlzJw0NDYlSutkm6X/44YeUlZUlRJ+T5cuXs3z5cp5//vm8H+Wy+etf/0r//v0ZMWJEQdYThLCYosIWHCgruuEmOFLHBBccic2CIqPgoKXdTXDYG2NTRAQVHGCIGcdm3LYzybXgaHn6rtuKfIkOu9+cy9yEhhUe6Ztof/GRGOuxafcSIl6EFRFB8Puiy0uEZBIXlo1jnSyPOPnNE3YurzGp8+eWoFG9fOVnmD5ke2Gf3R5EaCSfQ7rQiKtkFSo3EeKGiA0BcP9F2VbK5wL07NmTWbNm8b3vfY89e/awdOlSpk6dyr59+7jttts4fvy4a0ncsrIy+vTpQ58+fWhubmbfvn289957NDc3c/rpp9O3b99ApXTBupSvoaGB4cOHu772L730EgsXLmTVqlWh7wXJhF9p5XvuuYe//e1vOV1PEHJF8sM1VXCA9aFoCg7bDmWVxHUTHKlzpbbbAiCudUJwgL/ggOSRKqeQcEYt3AQHkGJr+RdecFjz5A6vKAfkVnRYa3hHO8IID2sdlyNSjqbyFpGYhp+gyCLCkSsyxbfdxE0QYWHZtU4U+EUxnP3uR72C+ZlcI/fkSmi43iETQmhkOjqVXDu96pTd7i4o0tvNErep7ck2p9Dwk9siNgTAimR88sknicd1dXVUVlZG6FE0KKXo378/U6dO5YknnuCxxx5jw4YNXH755QwaNIgZM2YwYcIE17ssKioqqKyspLKykqamJj799FPefvttlFKJOzy8ohF79+7lwIEDfO1rX3MVGlu2bOGuu+7iueeeo0ePHjl/3mvWrHFtf/vtt9m5c2ciqlFXV8fIkSPZuHGja+K6IESBLQ7cj02ZggMj8uEuOMxZU9tbohEhBUeZ0WfZBRcc4G5reZcqOKDwx6ogd6ID3ISCvYZ7tMMek7Km0xGnvXbb8GYWIOAjQux5EmODRzlaQ5AIiZdFEGHhZpfNfRZhBYvbvF5zJ9fID605NmXaZkoE97I1oxmmbT4jGn53adh2adGODFJbEsQFwCqzOnjwYNauXUv//v2pqqpi8eLFnHvuuVG7Fglz5szhhhtu4PzzzwcgHo/z5ptvsmjRIlavXs2oUaOoqanhoosuoqLCX7M3Njby6aefJm797tu3L71796a8vByA/fv3s2vXLkaOHJloM/nXv/7FzJkzefrppxk8eHDun2wIzj77bDZv3iwJ4oWn7YQZQ9K+/FQ9oOM3geQRKffE8GRfejJ57pLGk20WXqVxrcck5rYfh00ct/0xiSJ53MRv4xAkmRzSRYTrOMdK2SSqh5k/k336+NwT9OfmvzHPLCoS7c6xAURANqIl6Nyp6+SPINGMsHfMZJMIbj32vhU8xa6VQsPM0bDmCCc06hpf5njsc9cfi4gNIcFzzz3HnDlziMVi3HTTTdTW1kbtUlESi8V4+eWXWbJkCa+99hrjxo2jpqaGkSNHBi6le+DAATp37kzXrl2pr69n1KhRrlGPvXv3Ul1dzWOPPcaoUaPy9ZQCI2IjMkRseNC+/FRd2emiFDFh/j+fgiPRppK2XoLDHhNEcKTM7xAcpq2bfcImwDfOph/5IKzogGDCw2286y3fWQobv/F+63kRRJgEwW/j7cTrcj+/eVojADJFL8LM7zU+uVb+yObIFKRHJ6y5WndsynqcWWg4bwVPmb9AQiOu4uxpeEXEhlB4PvnkE7773e9SX19PWVkZs2bNYvbs2VG7lVOOHz/OqlWrWLRoETt27GDixInU1NQwZMgQ35wXrTX19fXs2LGDU045hR49etC3b1969OiRGHfw4EGmTp3Kvffey/jx4wv1lITiRMSGB7bYAFwFh1tJXO++YIIj2ZYa4bDb8yU43GzNNnOMc5ybrcnJIjqSa2YvPrzWCrJuED9ag5+IMMkkTLwrVwWby/um8mBrlarIgOySwM1x+RIa9lxxoz2XQiOtz2EjYkOIhL1797J3715GjhzJkSNHGDVqFM8888xJV07X5siRI6xYsYIlS5awb98+pk2bxvTp0+nfv3+a8GhoaGDr1q2cd955dOrUiYMHD1JfX8/nn3/O888/z7hx4/jVr37Fj370I2bMmBHRMxKKCBEbHphiA1LFhBndsNucNmafecu4NS43gsNqSxUcZp8if4LDOdZpm2Ln3pwzshEd0PpohNeGP4zQybRu0LlzRdAoh1+sPeyGvzXHr/zW85vHWje/tDaa4bTNd36G7XMuhAYEy9Gw+5LzpSeM+4kNSRAX8ka/fv3o168fAF27dmXYsGHs3r37pBUbXbt2ZebMmcycOZP9+/fz1FNPMWvWLLTWiVK6p512Gp988glbtmzhW9/6Fp07dwasalg9e/YkFovx4YcfUltby8GDB9m+fTvnnXceQ4YMifjZCULxoomhSM93ciuJm03SuFtZXJVoU5QZGwYrSVwnBEeQxHGdGJuaDA4kdlp24rNftSog450cST/dXseUJXOOPa/b5s7vXgxnUjmkPj9z0+eXYG5jv25pyebGa+zELaHdC2eie74Ic8tSNhv9MNELP3+yiWJY6+eXMOI318emTPvWCg3z6FQhhEbiOaZUporhR2FuBBPaPLt27eLNN99k7NixUbtSEHr37s33v/99XnzxRZ544gkaGxuZPn06U6dO5YorriAej9OtW7e0cUopXnnlFa666iq2b9/O4MGDmTt3Lm+++WYEz0IQih+d+HC1PuycH5JeH5Ze55DTjxTolA9r+1u91JKSSV+SmwXtuoHQjs1EygZC2xsPY1Pg2KwkNi86/dtRp725CdfacfzDGO9Ek99jDQr/jWSZSv5JGadS/yTsHX/c5nHmvDj/c7M3xznXdvvj5U++/ni9Ll6++T4/j9fE73UM6o+J18/WJNP7o7X4vb+d/y7S/t2QWTgEyc+wflfkT2jEjd9UkFuh4aw8Zf/u9TsyKMeohLxz9OhRLrnkEmpra6muro7anchoaGjg0ksv5ayzzmLHjh0MHjyYmpoaxo8fT7t27dBa84tf/ILjx4+zcOHCgt0OLpQEcozKg3bl3XTfThcYR5ysCIczf8P+e65yOJJjnG3hKlXZY+y+pB2Jdc3Hpn3Q5HFzjDnOJMpjLBBssxH2qFViXJZzQjSJ4GHJVeJ4prmyOZKVac7E+MwmrSbsMb4wuRlmu1NkpPQ5vkSwvmRIFxn24zAVp5Jt8ZS2XOVomO22XeJLHuLUN2ygKXbY9UcpYkPIKydOnGDy5Mlcdtll3H777VG7EynXXXcd48eP56abbiIej7Np0yYWLVrEunXrGDt2LOXl5Rw+fJhFixa5lsDNNQ8++CAPPfQQFRUVTJo0ifnz5+d9TSFrRGx4YIsNwFNwmH3ZCI5kX1JYhBEcdp8pOBJ2Pnkc1mNaHqeKDr9cDjf75Otg2IQQHYV8A7ZWeIC/+AB/ARJk/sQ6RbZNyncCeWKdTOOLRGDY+EUy0mw9RIZp7yYyzLFhksBN+7D5GZAuNEyRYbYDrU4GN+1MoQGI2BCiQWvNDTfcQM+ePbn//vujdidy9u7dm8hhMWlubmbdunXcc889rFq1KvCN463hxRdfZN68eTz77LO0b9+effv20adPn7yvK2SNiA0PTLEBuREc1viyjILD/n+QuzhsWzfBAYS+j8Mca41PtTXtne2ZEsid9k6KYZPopLXiAzILkKBrFQu5SCK3yYW4gOJ574S9kyVoNMMcF0Zo+B6vzCA0vPIzkrbpQsPvWKk1LpzQABEbQkS88sorXHzxxQwfPjxxJOiee+7hO9/5TqvmjcVijB49mv79+7Ny5cpcuNrmqKmpYdasWVJSt3QQseFBu/Ju+vROY1CkiwovwRGkSpXdHybCYY3JfBeH1eYuOMzHftWqIF10ZKpYZbab42yKNdIB4TYjgS7cCzhhUAGSjQ+tIdsE9KCHcwNcTh7y+FZhyTaSAd4iw5pXp7XnIgk8dXzqjeDJNoedWx6GkWPWGqFhPw4qNDRxPm3Y6Ck2pBqVkDcuuugiMojZrHjggQcYNmwYhw8fzvncbYX333+f9evXU1tbS4cOHViwYAFVVVVRuyUIWWNXnALrQ9CqGmVVqbKrT9kEq1JVlviotvp0SqWqZDUqS0C4V7CyNnd2MigAyuozz2rTEtXQGapVAZS1bBrsClRm9SljOteKVZBst16H1M2ns2qV0z719U48nYJgrpPpU8WvslViPrfn5GLrtzn3EyKFqEbluXZI+yDCIjF3EQsMKK1ohjVH8PyMlHUKIDRMMgmNTIjYEEqKuro6nn32WWpra/ntb38btTtFzfjx46mvr09rnzdvHs3NzRw8eJANGzawadMmampq+Oijj3wvIhSE4kQbf0sKjmRbquBICAtDUIC98c5ecNAyiyk4LFRCcFgCQacIDkXLJiOA4LBskyLCKTggKTpswQHposMpOOxxkCpYEs/KmMfr1S/kb45shYdNawVIYu4Ma6etG9I+23X8yJewSMwffkhOKKTIMMcHTQK3HrdeaGQqbWv3hRUa5m8sr0v73MrbpgoN75+CiI02xKZNm7j55pvZuHEjsViMMWPG8Oc//5mvfvWrUbsWmDlz5jB//nyOHDkStStFz5o1azz7fve731FdXY1SijFjxlBWVsaBAwfo3bt3AT0UhNwQ1zHKlHVkyhmtsNq8BQfgIircBQeA8y4OsIVK8i4Oe07zLg6rLVVwQPJYVdwIK5TZmxDHBRP2sSpnlCNuH/HyiXLY/Wn3eJAuViB70QHRCQ+bfAuQtPUCBvDzXV+wNd8VlZKwsMn0sufzyJQ5tjUiw+53OzZlz5lNxSkgrbRtal+60AhSdcrsSxEo2v+eDREbbYiqqiqmTJnCz372MxobG5k5c2ZJCY2VK1fSp08fRo0axUsvvRS1OyXNlVdeybp16xg3bhzvv/8+TU1N9OrVK2q3BCFrvAQH2GIiXXDYfe6iouX/OilGzMv/rD63SEbCoxQxYk9a5tzAeByrglTRkSnKYc2ZSNRoeW7Bj1ZBeNFhj3ESRbTDxLluEC3gt9nOlH9RKgHh1h7tKpanGTaKAdmJDLMviMhIbbMfJ4WFXxK41d66aEaiz6XiVLLP/9hUmByN5HP2FxogCeJtjqamJqqqqujQoQOvvfZaQUqs5oqf/vSn/OlPf6KiooJjx45x+PBhqqurefLJJ6N2reRoamripptu4q233qJdu3YsWLCASy+9NGq3BG+K5XO+6GhX3lX37jg68dgWHJBMAIfgVarMcWbiuHdfajUqq8+9UlWyjdS2gNWqzMdBK1alzmG0BahaZY5N2Hq8E6O+DToMud7YFEt1qlzniZTSzywbkeEcV6gjU2a/FQtNj2bYtlEIDbebwYMIjf2Nm2mKHZFqVALU19dz4YUX0r59ezZt2kTnzp2jdikrXnrpJRYsWCDVqIS2QjF97hcVTrEBwQUHpFegam2lKqsvuwsAzT5TdIQVHLYPZpvX/RptWXSYtPXNTqn+XAohMszxYaMZ1jyGeHCJZkCq0GjNsSn7cdhE8NYKDfAXG3JFcRtj1qxZ3H333Vx//fX85Cc/idqdouDQoUNMnz6doUOHMmzYMP7xj39E7ZIgCCFwHmIyPwTdEh9Tzh8r9w/dUHXo075NTFaFiWNuAJxttGwZtLFBcWxGWi75so9haOOxuXGxjmF5f+NqjwHHJspn02X2mePtOdy+q3SOc2L7Wmwojz8nG6XyPDO9T7zeZ873pfN96xwXJJrhl5thl7QN++/VmjspNBK/Bxx9pSI0MlWkkpyNNsQTTzxBRUUF1113HbFYjG984xusW7euJI/PjBs3jnHjxuVkrtmzZzNx4kSWLVtGU1MTDQ0NOZlXEITC4axE5ZbDAdaHp5nDAfhWqsq2NG5qCVyNWR7X8sO/PC4kj1XZuRrJ5O9kxSozeVzjn8sRNIHcciE9n8P2G/xzOtzGpf+8khTjZtfGz7diFE1Q3K+nH0Fez1xEMqy1ChfNMPszHZsCDzFRwkID5BiV0MY5fPgwI0aMkLKvQrEjb04P2pV31b06jkw8dpa+LdSRqtT+8Hkc1v+DHauybYGUm8fNfq9cDrMt7NEqZ59zDre5/MamjfPvFk5ScnVUCvIjMsxxXiLDHhckCTy13T2aYT3OPj8DCi80DjRu8TxGJZENoU3z0Ucf0bt3b2688Ua2bt3KqFGjeOCBB0oul+Wtt97i1ltv5dixY1RUVPDwww8zZsyYqN0ShLxzIn70wN4vXv44aj8MegEHonYiS0rZdyht/8X36Chl/4vJ97O8OiSyIbRpNm/ezAUXXMCrr77K2LFjmT17Nt26dePuu++O2rVQTJgwgdtuu43LL7+c5557jvnz50t54JML+dK3RFBKbdZaj85sWXyUsu9Q2v6L79FRyv6Xiu+SIC60aQYMGMCAAQMYO3YsANOnT2fLli0RexUepRSHDx8G4PPPP6eysjJijwRBEARBEOQYldDG6du3L2eccQY7duxgyJAhrF27lq985StRuxWa+++/n8suu4y5c+cSj8d57bXXonZJEARBEARBxIYgPPjgg1x//fU0NTUxaNAgHn/88ahdcmX8+PHU19entc+bN4+1a9dy3333cdVVV/GXv/yFm2++mTVr1kTgpSC0ef4QtQOtoJR9h9L2X3yPjlL2vyR8l5wNQcgx9913H4888ghKKYYPH87jjz9Ohw4d8rrmqaeeyqFDh1BKobXm1FNPTRyrEk4KJGdDEARBKEkkZ0MQcsju3btZuHAhmzdv5p///CexWIylS5fmfd3Kykr+/ve/A7Bu3Tq+/OUv531NQRAEQRCETIjYEIQc09zcTGNjI83NzTQ0NBQkWfuPf/wjd9xxByNGjOCuu+7iD38oiciqIJy0KKV+qJTaoZTarpSaH7U/YVFKzVVKaaVUr6h9CYpS6tdKqfeUUtuUUv9PKdU9ap8yoZSa2PI++UApdWfU/oRBKXWGUupFpdS7Le/z2VH7FBalVLlS6k2l1MqofQmDUqq7UmpZy/v9XaXU16P2yQ85RiUIOeaBBx6gtraWjh07MmHCBBYtWhS1S0LpI8eoSgil1LeAWmCS1vq4UqqP1npf1H4FRSl1BvAIMBQYpbUuljr+viilJgDrtNbNSqlfAWitfxKxW54opcqB94H/AOqATcC1Wut3InUsIEqpfkA/rfUWpVRX4A3gylLxH0ApdTswGuimtZ4ctT9BUUr9D7Bea/2IUqod0ElrfShqv7yQyIYg5JCDBw+yYsUKdu7cyZ49e/jiiy948skno3ZLEITC8p/AvVrr4wClJDRauA/435TYF45a679prZtbHm4ABkTpTwDGAB9orT/SWjcBS4GpEfsUGK31Xq31lpa/HwHeBfpH61VwlFIDgElYwrpkUEp1A74JPAqgtW4qZqEBIjYEIaesWbOGgQMH0rt3b0455RSqq6ulDK0gtD0GAxcrpV5XSv1dKVUVtUNBUUpNAXZrrbdG7UsruQl4PmonMtAf+MR4XEcJbdZNlFJnA+cDr0frSSjuxxLV8agdCckgYD/weMsRsEeUUp2jdsoPKX0rCDnkzDPPZMOGDTQ0NNCxY0fWrl3L6NFFf7mnIAghUUqtAfq6dJakCKEAAANCSURBVNVifbb2AC4AqoC/KKUG6QznlgtFBt/vAiYU1qPg+PmutV7RYlMLNAPFfobV7XhkUbxHwqCU6gI8DczRWpdEGUSl1GRgn9b6DaXUuKj9CUkFMBL4odb6daXUA8CdwM+jdcsbERuCkEPGjh3L9OnTGTlyJBUVFZx//vnMmjUrarcEQcgxWuvxXn1Kqf8ElreIi41KqTjQC+vbyMjx8l0pNRwYCGxVSoF1DGmLUmqM1jr9kp8I8HvdAZRSNwCTgW8Xi7jzoQ44w3g8ANgTkS9ZoZQ6BUtoLNJaL4/anxBcCExRSn0H6AB0U0o9qbWeGbFfQagD6rTWdhRpGZbYKFoyJYgLgiAIghACpdStQKXW+hdKqcHAWuDMEtj8pqCU2gWMLqEE8YnAb4FLtNZFIez8UEpVYCWIfxvYjZUgfp3WenukjgVEWYr0f4DPtNZzovYnW1oiG3NLLEF8PXCL1nqHUur/AJ211j+O2C1PJLIhCIIgCLnlMeAxpdQ/gSbghlITGiXKQ0B7YHVLZGaD1vrWaF3ypqVq1n8Bq4By4LFSERotXAj8L+BtpdRbLW13aa2fi9CntsIPgUUtlag+Am6M2B9fJLIhCIIgCIIgCEJekGpUgiAIgiAIgiDkBREbgiAIgiAIgiDkBREbgiAIgiAIgiDkBREbgiAIgiAIgiDkBREbgiAIgiAIgiDkBREbgiAIgiAIgiDkBREbgiAIgiAIgiDkBREbgiAIgiAIBUYpVaWU2qaU6qCU6qyU2q6U+mrUfglCrpFL/QRBEARBECJAKfXfQAegI1Cntf6/EbskCDlHxIYgCIIgCEIEKKXaAZuAY8A3tNaxiF0ShJwjx6gEQRAEQRCioSfQBeiKFeEQhJMOiWwIgiAIgiBEgFLqr8BSYCDQT2v9XxG7JAg5pyJqBwRBEARBENoaSqnvAs1a68VKqXLgNaXUpVrrdVH7Jgi5RCIbgiAIgiAIgiDkBcnZEARBEARBEAQhL4jYEARBEARBEAQhL4jYEARBEARBEAQhL4jYEARBEARBEAQhL4jYEARBEARBEAQhL4jYEARBEARBEAQhL4jYEARBEARBEAQhL4jYEARBEARBEAQhL/x/vSNwPJ8rYvoAAAAASUVORK5CYII=\n", "text/plain": [""]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["x = np.linspace(-7.5, 7.5, 300)\n", "X, Y = np.meshgrid(x, x)\n", "r = np.sqrt(X**2 + Y**2)\n", "\n", "u = np.sin(r)/r\n", "\n", "fig = plt.figure(figsize=(14, 7))\n", "ax1 = fig.add_subplot(121, projection='3d')\n", "ax2 = fig.add_subplot(122)\n", "\n", "ax1.plot_surface(X, Y, u, rstride=1, cstride=1, cmap='inferno', antialiased=False)\n", "ax2.imshow(u, extent=[min(x), max(x), min(x), max(x)], cmap='inferno')\n", "\n", "ax1.set_zlabel('u')\n", "for ax in (ax1, ax2):\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", "\n", "ax2.set_aspect('equal')\n", "plt.show()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["We know that on the graph of a function the second derivative is related to the curvature of the graph. In fact, the mean curvature $\\kappa$ of a 3-D surface can be expressed as the divergence of unit normal vectors to the surface $ \\hat{n} $:\n", "\n", "$$ \\kappa = \\nabla \\cdot \\hat{n} $$\n", "\n", "which is a very interesting result! So the curvature is the sum of curvature in one direction + curvature in another direction. We also know that we can express unit normal to the surface as a gradient of a function that gives that surface. This way we recover the Laplacian and its relation to curvature.\n", "\n", "Let us show these vectors $\\nabla u$ overlain on top of $\\Delta u$."]}, {"cell_type": "code", "execution_count": 4, "metadata": {"tags": ["hide-input"]}, "outputs": [{"data": {"image/png": 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\n", "text/plain": [""]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["u_x = X*np.cos(r) / r**2 - X*np.sin(r) / r**3 # x-component of grad u\n", "u_y = Y*np.cos(r) / r**2 - Y*np.sin(r) / r**3 # y-component of grad u\n", "lapl_u = (1 - r**2) * np.sin(r) / r**3 - np.cos(r) / r**2 # laplacian u\n", "\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(111)\n", "\n", "im = ax.imshow(lapl_u, extent=[min(x), max(x), min(x), max(x)], cmap='winter')\n", "ax.quiver(X[::15, ::15], Y[::15, ::15], u_x[::15, ::15], u_y[::15, ::15], color='white', scale=10, units='width')\n", "ax.contour(np.sign(lapl_u), 2, colors='white', extent=[min(x), max(x), min(x), max(x)], alpha=0.3)\n", "\n", "plt.colorbar(im, shrink=0.75, label=r'$\\Delta u$')\n", "plt.show()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Remember that a Laplacian is divergence of a gradient. This makes sense when we look at the figure above, where blues are negative divergence and greens are positive divergence, i.e. Laplacian. So in the areas of positive divergence we have $\\nabla u$ diverging and in negative divergence areas we have $\\nabla u$ converging. We can easily see by comparison with previous figures that these areas correspond to convex and concave parts of $u$, with the white contours showing $\\Delta u = 0$."]}, {"cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": []}], "metadata": {"celltoolbar": "Tags", "kernelspec": {"display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.8"}}, "nbformat": 4, "nbformat_minor": 4}