{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Conformal completion of Minkowski spacetime\n", "\n", "This Jupyter/SageMath notebook is relative to the lectures\n", "[Geometry and physics of black holes](https://relativite.obspm.fr/blackholes/).\n", " \n", "It makes use of SageMath differential geometry tools developed through the \n", "[SageManifolds](http://sagemanifolds.obspm.fr) project." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*NB:* a version of SageMath at least equal to 9.4 is required to run this notebook: " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'SageMath version 10.7.beta6, Release Date: 2025-06-14'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sage.version.banner" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we set up the notebook to display mathematical objects using LaTeX formatting:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%display latex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spherical coordinates on Minkowski spacetime\n", "\n", "We declare the spacetime manifold $M$:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4-dimensional Lorentzian manifold M\n" ] } ], "source": [ "M = Manifold(4, 'M', structure='Lorentzian')\n", "print(M)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the spherical coordinates $(t,r,\\theta,\\phi)$ as a chart on $M$:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(M,(t, r, {\\theta}, {\\phi})\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(M,(t, r, {\\theta}, {\\phi})\\right)$" ], "text/plain": [ "Chart (M, (t, r, th, ph))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XS. = M.chart(r't r:(0,+oo) th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "XS" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle t :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left( 0 , +\\infty \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)\\)" ], "text/latex": [ "$\\displaystyle t :\\ \\left( -\\infty, +\\infty \\right) ;\\quad r :\\ \\left( 0 , +\\infty \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)$" ], "text/plain": [ "t: (-oo, +oo); r: (0, +oo); th: (0, pi); ph: (0, 2*pi)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XS.coord_range()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In term of these coordinates, we set up Minkowski metric as" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle g = -\\mathrm{d} t\\otimes \\mathrm{d} t+\\mathrm{d} r\\otimes \\mathrm{d} r + r^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + r^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle g = -\\mathrm{d} t\\otimes \\mathrm{d} t+\\mathrm{d} r\\otimes \\mathrm{d} r + r^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + r^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "g = -dt⊗dt + dr⊗dr + r^2 dth⊗dth + r^2*sin(th)^2 dph⊗dph" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g = M.metric()\n", "g[0,0] = -1\n", "g[1,1] = 1\n", "g[2,2] = r^2\n", "g[3,3] = r^2*sin(th)^2\n", "g.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Null coordinates\n", "\n", "Let us introduce the null coordinates $u=t-r$ (retarded time) and $v=t+r$ (advanced time):" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(M,(u, v, {\\theta}, {\\phi})\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(M,(u, v, {\\theta}, {\\phi})\\right)$" ], "text/plain": [ "Chart (M, (u, v, th, ph))" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XN. = M.chart(r'u v th:(0,pi):\\theta ph:(0,2*pi):\\phi',\n", " coord_restrictions=lambda u,v,th,ph: v-u>0)\n", "XN" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle u :\\ \\left( -\\infty, +\\infty \\right) ;\\quad v :\\ \\left( -\\infty, +\\infty \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)\\)" ], "text/latex": [ "$\\displaystyle u :\\ \\left( -\\infty, +\\infty \\right) ;\\quad v :\\ \\left( -\\infty, +\\infty \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)$" ], "text/plain": [ "u: (-oo, +oo); v: (-oo, +oo); th: (0, pi); ph: (0, 2*pi)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XN.coord_range()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} u & = & -r + t \\\\ v & = & r + t \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} u & = & -r + t \\\\ v & = & r + t \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "u = -r + t\n", "v = r + t\n", "th = th\n", "ph = ph" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XS_to_XN = XS.transition_map(XN, [t-r, t+r, th, ph])\n", "XS_to_XN.display()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} t & = & \\frac{1}{2} \\, u + \\frac{1}{2} \\, v \\\\ r & = & -\\frac{1}{2} \\, u + \\frac{1}{2} \\, v \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} t & = & \\frac{1}{2} \\, u + \\frac{1}{2} \\, v \\\\ r & = & -\\frac{1}{2} \\, u + \\frac{1}{2} \\, v \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "t = 1/2*u + 1/2*v\n", "r = -1/2*u + 1/2*v\n", "th = th\n", "ph = ph" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XS_to_XN.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In terms of the null coordinates $(u,v,\\theta,\\phi)$, the Minkowski metric writes" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle g = -\\frac{1}{2} \\mathrm{d} u\\otimes \\mathrm{d} v -\\frac{1}{2} \\mathrm{d} v\\otimes \\mathrm{d} u + \\left( \\frac{1}{4} \\, u^{2} - \\frac{1}{2} \\, u v + \\frac{1}{4} \\, v^{2} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\left( \\frac{1}{4} \\, u^{2} \\sin\\left({\\theta}\\right)^{2} - \\frac{1}{2} \\, u v \\sin\\left({\\theta}\\right)^{2} + \\frac{1}{4} \\, v^{2} \\sin\\left({\\theta}\\right)^{2} \\right) \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle g = -\\frac{1}{2} \\mathrm{d} u\\otimes \\mathrm{d} v -\\frac{1}{2} \\mathrm{d} v\\otimes \\mathrm{d} u + \\left( \\frac{1}{4} \\, u^{2} - \\frac{1}{2} \\, u v + \\frac{1}{4} \\, v^{2} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\left( \\frac{1}{4} \\, u^{2} \\sin\\left({\\theta}\\right)^{2} - \\frac{1}{2} \\, u v \\sin\\left({\\theta}\\right)^{2} + \\frac{1}{4} \\, v^{2} \\sin\\left({\\theta}\\right)^{2} \\right) \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "g = -1/2 du⊗dv - 1/2 dv⊗du + (1/4*u^2 - 1/2*u*v + 1/4*v^2) dth⊗dth + (1/4*u^2*sin(th)^2 - 1/2*u*v*sin(th)^2 + 1/4*v^2*sin(th)^2) dph⊗dph" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(XN)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a better display, let us factor the metric components:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle g = -\\frac{1}{2} \\mathrm{d} u\\otimes \\mathrm{d} v -\\frac{1}{2} \\mathrm{d} v\\otimes \\mathrm{d} u + \\frac{1}{4} \\, {\\left(u - v\\right)}^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\frac{1}{4} \\, {\\left(u - v\\right)}^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle g = -\\frac{1}{2} \\mathrm{d} u\\otimes \\mathrm{d} v -\\frac{1}{2} \\mathrm{d} v\\otimes \\mathrm{d} u + \\frac{1}{4} \\, {\\left(u - v\\right)}^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\frac{1}{4} \\, {\\left(u - v\\right)}^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "g = -1/2 du⊗dv - 1/2 dv⊗du + 1/4*(u - v)^2 dth⊗dth + 1/4*(u - v)^2*sin(th)^2 dph⊗dph" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.apply_map(factor, frame=XN.frame(), chart=XN,\n", " keep_other_components=True)\n", "g.display(XN)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us plot the coordinate grid $(u,v)$ in terms of the coordinates $(t,r)$:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 33 graphics primitives" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graph = XN.plot(XS, ambient_coords=(r,t), fixed_coords={th: pi/2, ph: pi}, \n", " number_values=17, plot_points=200, color='green', \n", " style={u: '--', v: '-'}, thickness=1.5)\n", "graph" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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6Yin+/ujfVb/+rVrFyqGlPli1idUZFeYKHL9+HI+2elTuUDxGbWLlo6U+WL2JFdBp5srRNKgppj823SrWCnMFLt+5LHNU7qN2sQLaadPRkljHxI1B+NJw1c7BqlmsgG0GazQZUWmulDskj9CjWAGdy5VPhbkCo/83Go/+91FVzcFqQawcahesVsQKAD4GH9Tzq6faIie1i5WjY2hHJEclIykqSZWrzOlVrADJ1UqRsQhZBVmqKnLSklg5+IK9XHgZ5aZyuUNyCS2JFbBd7F9tgtWKWDk6hHawEevms5tVMQerZ7ECOp9ztUdNfbBaFCufpItJ6NuyL4IDguUOpVa0JlY+/O3q1NAHqzWx2hOfEY+x8WPR9b6uip6D1btYAcpcbVBLm47WxQoAEW0ibMS66cwmRQ4Ra1msgLoyWK2LFQB6NOuB5vWbK7qKmMRahaLlKvQiEq6gdMHqQaz2zD0wF6PWjVLcHKzWxcrBF2xAnQA0qttI7pCqoQexAspv0yGx3oOGhZ3ADRFfunMJO1/ZiccefEyS+9aEHsUKKLNNRy9i5WOymHAm/4zi1oLWi1j5KLFNh8RqC8m1BvJK85BVkIX+D/SX7J7O0KtYOZQkWD2K1RHpuem4UngFIzqOkC0GPYqVgy/Ybvd1w6E3DiEkQLrfj3xIrNVR9LCw3DQNamoj1rScNFmGiPUuVkA5bTok1iqyCrIQuTwSL6x7QbY5WD2LFbAdIo5sE4lgf3mK/0isjqHM1UVO5Z2y7lYhZRUxidUW+wx21QurJFtdi8R6D34VsZ+PH+LGxElaRax3sfLJLclF06CmsqwyR2J1DmWuLtI0qCma128uaZETibU6XAbr5+OHfvf3I7HKBL/IqdJSiTFxYyTLYEmstjSr38z6c2A0GfH+zvclKXIisdYMZa5uIGUfLIm1ZrIKstC2UVtJ7kVidY7UGSyJtWbe2vwWFqcuFr3IicRaO5S5uoFUbTok1trhi7WgrADRydGizMGSWGvGUQabdDFJlHuRWGvn74/9XfQ2HRKra5Bc3cSRYLMKsgS7PonVPSzMguGrh+OjlI8EL3IisboGX7CPPPAI+rbsK/g9SKyuIXYfLInVdWhY2EO4IeLGdRvj55d/Rn3/+l5fk8TqGRvPbMSYuDGCtumQWN3HZDHBaDIiyD9I0OuSWN1HjD5YEqt7KFqusbGxiI2NhdlsRmZmpqLkCgA3S2+irl9dEqsCEFKwJFZhiNkfg673dfVqDpbE6jl8wQ54YAAOvn7Q4wJAEqsHMBVQWFjIALDCwkK5Q6mRbw5/w87mn3X7vPLKcjZy9UiGaLDAOYEs8UKiCNFpn4TTCcz3Y1+GaLBx8eNYpbnS7Wuk5aSxJp83YYgG67uoLysoKxA+UB2wIWMDQzSY38d+bOPpjR5d45N9nzBEgyEabE7KHIEj1Adn88+yTt93Yvsv7/f4GgVlBSxsURhDNFjo3FCWlpMmYITaRdGZK4cSh4XtWXh8Id7Z9g5aBrdEUlQSOoZ2dOk8yliFhZ/BvtvvXXw39DuXz6WMVTi8rSKmjFU4TBaTzSgOY8zlDJYyVs+hgiaBeKHLC9Yip4hlEci8lVnrOSRW4RnVeRTixsThwQYPYnLYZJfPI7EKizd9sCRWYeGLNS0nDU8uf9KlIicSq3dQ5iog9n2wNWWwJFZxKTeVI9A30KVjSazi4W4GS2IVDwuzoNd/eiE9N73WIicSq/dQ5iog9m06zjJYEqv48MW668IuvL7pdYdtOiRWcXGUwV66c8nhsTH7Y0isIuJj8EHcmLha23RIrMLgllwXLFiAHj16ICQkBCEhIRgwYAC2b9/u9Pjk5GQYDIZqrzNnzngduFKxF+yTy55EkbHI+n0Sq7TcLruN0f8bjSUnllTrgyWxSgMn2HHdx+GrwV+hdcPW1Y6J2R+D2XtnAyCxikltfbAkVuFwa1h4y5YtqFOnDtq3bw8AWLZsGb744gukpqaiW7du1Y5PTk5GREQEzp49azOce99996FOnTouB6mWYWE+eaV5iFweiUl9JmFyv6q5PxKrPDjari7jZgaJVWLsC2kszAIfgw+JVQYc9cH61/EnsQqI13OujRs3xhdffIE33nij2vc4uRYUFKBhw4Ye30ONcgWqZBrgG2D9/3yxbn5xM55u97TMEeoHvmCfaf8Mjl8/TmKVkYKyAgxbPQztG7XHypMrAZBYpYYv2Ak9JuB0/mkSq4B4POdqNpuxdu1alJaWYsCAATUe26tXL7Ro0QKRkZFISqp93VGj0YiioiKblxrhi3XU2lHYkrkFAXUCSKwywO2mU8dQBzvO70D+3Xz0adGHxCoT3x75FkeuHiGxygg3RPx85+fx+83fSawC47ZcT548ifr16yMgIACTJk1CQkICunbt6vDYFi1aYNGiRVi/fj02bNiATp06ITIyEvv27avxHjExMWjQoIH11apVK3fDVAxGkxGj40Zjx4UdAIAg/yCHc06E+LRp1MZmab5x3ceRWGXCr46f9f/7GHzQvWl3GaPRL02DmuJq0VX8euNXq1jbNWond1iawO1h4YqKCly5cgV37tzB+vXrsXjxYqSkpDgVrD0jR46EwWDA5s2bnR5jNBphNBqtXxcVFaFVq1aqHBYeHTcaWzO3ItA3EM2CmuFy4WXRt6sjqsMvXmrfqD3C7g8TZA1iwn347TY9mvZAel46fH18ET8mXtIN1/WOo+KljWc2Ii4jTtTt6vSC25mrv78/2rdvj759+yImJgY9e/bEvHnzXD6/f//+OHeu5m3aAgICrBXJ3Ett2It184ub8ctbv4i+XR1RHfuq4GMTj2H1n1dbxWphFlG2qyOqY9/H+uvbv2Jc93EwWUwYHTdasg3X9Y4jsT4Q8gD+8+t/RN2uTk943efKGLPJMmsjNTUVLVq08Pa2isaRWJ9u97Rk+8ES96it3cbCLHhz85uCb1dHVMfRAhG+Pr5Y/vxyq2Cn7ZwGo8n13yeE+zhrt2lct7Go29XpDncWIp41axbbt28fu3jxIktPT2ezZ89mPj4+bNeuXYwxxmbOnMnGjx9vPf6bb75hCQkJLDMzk506dYrNnDmTAWDr1693awFktSzcz1jVIvwjVo+wLsK/6/yuasfkluSybrHdGKLB+v3Yj1ksFhki1T6uLMJ//Npxrxf7J2qntkX4K82VbOr2qSwzP1OG6PSDK4vwn80/y1p+1ZIhGqz7D91ZbkmuDJGqH7fk+vrrr7OHHnqI+fv7s/vuu49FRkZaxcoYY1FRUSw8PNz69dy5c1m7du1YYGAga9SoEXv88cfZtm3b3A5SLXJ1RawcuSW57JmVz9AvE5FwZ3ebjac3kmBFhC/WT/Z94vJ5+aX5IkalP9zZ3YYE6z205ZxA2IvVk23jjCajCJHpD0+2jSPBioOnYt1+bjur/2l9j7erI2zxZNs4vmBXpq2UIEptQWsLC4D9HKsnKy9tP7cdXWK70Bysl3i6pCHXB+vr44s1p9bQHKwA8OdYP3nyE8weONvlc9eeWouSihIqchIAT5c05Ppgf3r2J7zc42UJItUWtCuOlwghVguzoN+P/fDrjV+pTccLhFgrmFvJyQADDr5+EGH3h4kTrMbxRqyA7W461KbjOUKvFXy77DZMFhO16bgAydULhBArh/12dSRY9xByEf5NZzbBYDDg2U7PChukTvBWrBwkWO8QQ6xPLX8KlZZK6oN1AUUPC8fGxqJr164IC1Ne9iCkWIHqu+lQm47rCL27zXOdn7MR6/Xi6zRE7CJCiRWw3a6O+mDdQ4zdbW6X3UZuaS616biIouU6efJkZGRk4NixY3KHYoPQYuUgwbqP2NvGZRVkof/i/jQH6wL8/Vi9FSuHvWA3nt3o9TW1jljbxrVv3J76YN1A0XJVImKJlcNesAuOLxDs2lpDiv1YT988jRslN6jIqRb428YJJVYOTrALhi/A4pGLBbuuFhF7P9ba9oMl7kFzrm4gtlj55JXm4fuj3yN6UDTq+Li+961ekHKjc0f7wdKaxPcQU6zOMFvMSM1JRd+WfUW/l1qQcqNzR/vB0hysLZS5uoiUYgWqMth/P/lvq1jNFjOuFV0T7X5qIj03HU8ue1Ky/VipTcc59hudSyXWNza/gUd/epTmYP9ASrECthlsQVkBio3Fot1LrZBcXYDb6Fwqsdpjtpjx2qbX0G9xP93PwXJivVV2S9KNzkmw1bEXq1T7sTIwGM1GVFoqMSZujO4FK7VYOTqGdkRyVDKSX01Gu8a0TZ09JNda4MS6JXOLLGIFgCJjEX678Zvui5zkEisHX7Cn8k7p+q91ucQK2BY56V2wcomVo0NoB7Rv3N769d6Le2kO9g9ozrUGlCBWDr33wcotVj67LuxC7xa90aReE1nuLzdyipUPvw/Wz8cPcWPidNUHK7dY7dl5fieeXfssOoZ2pDlYUObqFCWJFdB3m46SxAoAg9sNthHr7qzduhkiVopYAX1nsEoTKwC0adQGTeo1oSriPyC5OkBpYuXQo2CVJlZ7Fv26CE+veFoXc7BKEisHX7AAdFFZr0SxAtSmY4+i5SrHCk1KFSsHX7D5d/ORVZAld0iioXSxAkCzoGa6KHJSolg5OMEefP0gRnQcIXc4oqJUsXKQYO9Bc648lC5WPnmleTiZexKRbSPlDkUU1CBWDq33wSpZrM64cPsCzuSfwfCOw+UORTCULlY+/D7Ybvd1w/7X9qNR3UZyhyUpis5cpURNYgWqMli+WM/fPo/MW5kyRiQcahIroO02HTWK9VrRNQxaNgjPr3teM3OwahIrYJvB9m7RGyEBytlwRSpIrlCfWO25cPsCBi0dhIhlEaoXrNrEymEv2PEJ42FhFrnD8go1ihUAmtVvhscffFwzRU72Yt0zYY+ixcrRMbQjjr55FEueW6KLuXB7dC9Xe7FufnGzqsQKAMEBwWgY2BDXi6+rWrBqFSsHX7AdGneAAQa5Q/KYT/d/qkqxAtqqInYk1p7Ne8odlss8EPKAzSpzH+79UDdzsLqec3Uk1qfbPS3Y9aXEvg82KSoJHUM7yh2Wy6hdrHxO3zyNzk06w2BQp1yF3DZOTtTeB6t2sdrz/s738c2Rb3SzFrFuM1ctiRWo3qajpgxWS2IFgC73dbGK9W7lXXx24DPVzMFqRayA4wx2d9ZuucNyCa2JFQAm9Z2kqypiXcpVa2LlcCTY87fPyx1WjWhNrHwYY3hh3QuYtWeWKoqctCRWDr5gu97XFb2a95I7pFrRolgB/bXp6G5Y2H53G62IlQ83ROxfxx+7J+xG47qN5Q7JIVoWK4da2nS0KFY+JosJJRUliv/3pVWx8tHLdnW6kqsexMqRV5oHXx9fEqsCULpgtS5WRyw8vhAt6rdQ1BysHsTKwRdsnxZ98Mtbv8DHoK2BVEV/GiFXaHK0H6tWxQpUDRHzxfrf1P8qZqlEPYkVUHYfrB7FuuvCLryz7R2MjhutmCpiPYkVuDdE3KZhG3wc8bHmxAroJHOVeqNzpbEqfRVeSXhFEbvp6E2sfPgZ7KQ+k7BgxAJZ49GjWAHbKmJfH1/Ej4mXNYPVm1j5VJgr4F/HX+4wREF7fy7YoXexAsDT7Z5WxGL/ehYrcC+DbRbUDG/1eUvWWPQqVsC2yMlkMcmawepZrABsxHr+9nk8s/IZzRQ5aTpzJbHeQ+79YPUuVj6lFaUI8g+S7f56FisfuTNYvYuVD2MMA34agKPXjmqmyEmzmSuJ1RY5t6sjsdrCF+uRq0fw9pa3JZuDJbHew1EGeyb/jCT3JrHaYjAYsPz55Zpq09Fk5kpidY59Bps+KR2h9UJFux+J1TnFxmK0mdcGt8puSVJFTGJ1DJfBdgrthOhB0aLfj8TqHC216WhOrmpfhF8KOMGO6ToG/xr0L9HuQ2KtHanadEisNWNhFpuKVcaYKMtXqm13GznQimA1NSxMYnWNpkFNcfTNoyRWBSBFmw5frHMi5pBYHcAXa2lFKYasHCJ4kROJ1TXsV3J6f+f7cofkEZqRK4nVPfjzfqUVpRi3fpxgc7AkVvcQU7D2YlXT7jZy8d3R75CYlShoFTGJ1T04wQ7vMBzfDf1O7nA8QhPDwiRW75i4ZSJ+/O1HQaqI+WINaxmGXeN3kVhdhD9E/OXTX+L/Hv0/r65HYvUMoauISazCYTQZEeAbIHcYLqHozNWVFZpIrN4z58k5glQRk1i9g8tgn+v0HCb3m+zVtUisniNkHyyJVThif4lF2I9hHlcR78naI3BENaPqzJXEKhze9sGSWIWDX0zDGIOFWawbTrsCiVUYvM1gSazCUWQsQtfYrrhWfM2jIqc9WXswYs0IlP2jTMQobVF05loTJFZh8aYPlsQqLHyx/j3x7xifMN7lOVgSq3DYZ7CTtk1CaUWpS+eSWIUlJCAEe6P2etQHuztrN0asGYFyU7nIUdqiSrmSWMXBXrCj40bDwiw1nkNiFY9Teacw7+g8l4ucSKzCwwn2nb7v4OeXfnZpZS0Sqzh4sh/s7qzdGLlmJMpN5RjRcYREkf4BUwGFhYUMACssLGTlleVs5OqRDNFggXMCWeKFRLnD0xy5JbksfEk4O3HjRI3HpeWksdC5oQzRYGGLwlhBWYE0AeqIhNMJzPdjX4ZosHHx41iludLhcZ/s+4QhGgzRYHNS5kgcpf4oLC90+H5BWQELWxTGEA0WOjeUpeWkSRyZ9jmbf5a1/KolQzRY9x+6s9ySXIfHJV5IZIFzAhmiwUauHsnKK8sljdOtzHXBggXo0aMHQkJCEBISggEDBmD79u01npOSkoI+ffogMDAQbdu2xcKFCz3+Q4AyVmloGtQUSVFJNqvG2GdNlLFKw6jOoxA3Jq7GNh3KWKXlUPYhtJnXplqRE2Ws0mCfwW44vaHaMfyMdWTHkYgbEyd9lbE7Jt68eTPbtm0bO3v2LDt79iybPXs28/PzY6dOnXJ4fFZWFqtXrx6bOnUqy8jIYD/++CPz8/Nj8fHxbv0FwGWuzyx+hjJWGdh/eT/r9H0nlpmfyRijjFUOnGWwlLFKz5ub3mSIBvP72I9tPL2RMUYZqxxk5meybw5/U+19uTNWDq+HhRs1asQWL17s8HvTp09nnTt3tnnv7bffZv3793frHnm38hgAhpkkVqmxWCys/+L+DNFgLb9qyTaf2UxilQlOsIZoA0u+mExilYlKcyV7Mf5Fq2BXpq0ksSqAYmMxi/s9ThFiZYwxj1txzGYz4uLiEBUVhdTUVHTt2rXaMU888QR69eqFefPmWd9LSEjAX/7yF9y9exd+fn4Or200GmE0Gq1fT9w0EesmrEPABwHY+tpWGgqWGH6bjo/BBxZmoaFgmdh4ZiOKjEW4WnSVhoJlhN+mY4ABDIyGgmWkpKIEj/70KE7lnQIDk28omIfb1cInT55E/fr1ERAQgEmTJiEhIcGhWAEgJycHzZo1s3mvWbNmMJlMyM/Pd3qPmJgYNGjQwPpaN3UdAGDd6HUkVhloGtQU3w/7HnUMdWBhFvj5+GHB8AUkVhkY1XmUjVhnPT4LMx6fIXNU+sPXxxffD/0ejes2BkNVfvLhEx+SWGUi4XQCTuadBANDsH8wYofFyr6Sk9ty7dSpE06cOIEjR47gnXfeQVRUFDIyMpweb7+zBJco17TjxKxZs1BYWGh9ZadnAwAi2kS4Gy4hAOm56RjzvzEwMzMCfQNRaanEs2uflWw/WOIe/OKlGY/NQMKZBFEW+ydq5k75HQxbNQy3y27Dv44/ACD5cjI8HAgkvGB31m5M3DoRABBQJwDFFcUYtnqY7PvBui1Xf39/tG/fHn379kVMTAx69uxpM+zLp3nz5sjJybF5Ly8vD76+vggNdb6HaEBAgLUimXsR8pCem47I5ZHWRfjTJ6Vb+2A/P/i53OHpCvuq4IjWETh/+7xou+kQjrGvCj78xmF8NfgrrP3zWlG2qSOcY9/HenziccVsuO71IhKMMZv5UT4DBgxAYmKizXu7du1C3759nc63EsqBE2v+3Xzr7jYdQjtgb9ReTHtkGuYPmy93iLrBUbvNkPZDRN+ujrDFUbtN7xa98f6A963DkIwxnMw9KXOk2sderPFj4tG9aXe3F5oQDXeqn2bNmsX27dvHLl68yNLT09ns2bOZj48P27VrF2OMsZkzZ7Lx48dbj+dacd577z2WkZHBfvrpJ69acQoLbRu3bxTfcOs6hOuk5aSxJp83YYgG67uob41VwRaLheUU50gXnM7gVwV/su+Tat/feHqjSwtNEN7hSruNxWJh07ZPs2nTIYSH324zYvWIalXB3EIToXNDWXpOuiwxuiXX119/nT300EPM39+f3XfffSwyMtIqVsYYi4qKYuHh4TbnJCcns169ejF/f3/WunVrtmDBAreDdCTXfZf2sfqf1mfzj853+3pEzfDFWlu7jcViYVO3T2Utv2rJzuaflS5InVCbWDlIsOLiah+ryWyyadMhwQpPbWLlOJt/ttZV5sREdcsfcvxz7z+tv3RIsMLh7gIRheWFrFtsN2sfLAlWOFwVKwcn2Hbz2tFIgoC4u0CEfR8sCVY4XBWrI45kHxExsuqoVq4Wi4VN3zWdBCsgnq68lFuSS4IVGHfFyvFz5s/syp0rIkamLzxdeYkEKzzeiPXA5QMs6JMgEaOrjip3xQGqWnk+e+ozTH90OgBgyvYpiP0lVuao1Is3awXb76YTsSwCmbcyxQ1Yw/CLlz558hPMHjjb5XOHdhiKVg1aWb8+lH2Iipw8xJu1gvnb1VVaKjEmbozHG64T1dcKjh8T71Yf631B96FBYAMRI6yOauUKkGCFQohF+EmwwuCNWO353+//wxNLnqAqYg8QYhF+vmDNzIySihKRotU2e7L2eL0IP7fYv5QoWq6xsbHo2rUrwsLCnB5jL9jErERq5HYDIXe34Qs2pyQH6bnpwgarcYQUK1DVUG8wGKhNx02E3N2GE2xSVBJe7vGywJFqnz1Ze6wbnXu7pGHH0I4CR1czHq8tLCVFRUVo0KABCgsLnS4owRjDivSqvxK5FVOImhFr27i80jwczj6M5zo/532QOkFosXJsOrMJo+NGw2QxYVz3cVj+/HL4+vgKcm0tIsW2cTeKbyAtNw3PtH9G0OtqDSHFKgeakas9jDHsv7IfTzz0hMjRqRMp92O9XnwdpRWl6BDaQZTrqx2xxMpBgnUNKcSafzcfj/33MWQVZCF+TDz9AeoEtYsVUPiwsKcwxjB1x1SELw2nOVgHSC3WQUsHYdCyQbQWsQPEFisAPNf5uWorOZktZsHvo2ak2ui8YWBD9G7RGyaLCaPjRlORkwO0IFZAo3IFgHp+9QBQkZM9UooVqJpz8q/jXyXZZSRYPlKIlYMv2EaBjeBj0OyPvttIJVbAtsiJBFsdrYgV0Piw8Kw9szD34FwAwPyh8zG532Qxw1Q8UouVg78fbMvglkiOStb9ELGUYuVzIucEejbrSQvM/4GUYuXD3w/W18eXhoihLbECGs5cDQYDYiJjMOOxqr0u9Z7ByiVWoHqbjt4zWLnECgB/av4nq1grzBX47uh3uq0ilkusgOMMdvu57ZLcW4loTayAhuUKkGA55BQrBwm2CjnFas/4hPGYumOqLtt05BQrB1+wrRu21u1G61oUK6BxuQK2gvUx+CC0nvN9ZLWIEsTKwRdskF+QdV5cLyhJrADwUveXdLldnRLEysEJ9uDrB3F/yP2yxCAnWhUroOE5V3sYY0jLTcOfmv9J2OAUjJLEyievNA+V5kpd/TJRmlg59NamoySxOmPdqXUI9A3U/ByslsUKKDxzdWWFJlcxGAw2Yr1WdA0r0lZ4fV2lolSxAlUZLF+s6zPWa3qIWKliBRy36Wg1g1WDWA9eOYiXNryk+SpirYsVgHubpcuFs83SPaWgrIC1/669ZnfT8XR3GznYdGYT8/nIh7X8qiXLzM+UOxzB8XR3G6nh7wf7xqY35A5HcDzd3UZqKs2VbFz8OIZoMN+PfTW5m87uC7utu9uMXD3Srd1t1ISiM1exaBDQAC90fgGA9oqclJyxOqL/A/3RpUkXTRY5KTljtYfLYBsGNsT4HuPlDkdQ1JCxcvj6+GL588sxrvs4TfbB6iJj/QPdzLnawxjDzN0z8fmhzwFoow9WbWLl0GIfrJrEyudO+R1V/JtxFTWJlY/JYsKEhAlYc2qNZvpg9SRWQOFzrmKite3q1CpWQHttOmoVKwCbfzOn8k5h8rbJqp2DVatYAccZbFpOmtxheYzexAoA2i0LdAFOsADw+aHPMWX7FIQEhGB8T3UNi6lZrBycYLkMdtCyQfht4m9oVr+Z3KG5hZrFyqessgxDVg7B9eLrKCgvUF0VsZrFysEJFgBC64aqLn4OPYoV0PGwMB9uiHjj2Y1IikpCy+CWgt9DLLQgVj7cEHFkm0h8+8y3qlqmTyti5dh4ZiPGxI1RXZuOFsTKx2wxw8fgo6qfBQ69ihUguVphjKHIWIQGgQ1Eub4YaE2sHEXGIgT7B6vql4nWxMqhNsFqTaz2VJgr8PKGl/HKw68ofg5Wz2IFdDznao/BYLAR68r0lYqeg9WqWAEgJCDEKlajyYi3Nr+l6DlYrYoVAEZ1HoW4MXGq6IPVulgB4IdjPyA+Ix5j4sYouoqYL9YRHUfoTqwAydUhv934DVEboxRb5KRlsdoza88sLE5drNgiJy2LlcNesJ8d+EzukKqhB7ECwJR+U/Bi9xdRaalUrGDtxRo/Jl53YgWg7EUk5s+fz7p06cI6duwo6CIStWGxWNj0XdOtzf9KWmhCTQtECEFuSS7rFtuNIRqKW2hCLQtECEXC6QQ2aOkgVlReJHcoNqhlgQihqDRXshfjX2SIBvP72E9RC03wF4gYsXqEZheIcAWac3UCU2AfrJ4yVj5K7IPVQ8bqCMaYzVy4hVlk3XhdLxmrPfz9YP18/BA3Jk72OVjKWG2hYWEnKK0PVq9iBZTXB6tXsQKwEeun+z/FKxtekW0OVq9iBWy3q6u0VOK1Ta+hsLxQtnhIrNWhzLUW7DPYfa/uw8CHBkoag57FyoefwXYK7YRT/++U5JWrehYrn3O3zqHbD91QaamUpYpYz2LlY7KY8M7WdzC+53g88dATssRAYnUMydUFOMFWmCvw9ZCvJW0R4Yu1b8u+SByfqEuxcuSV5uG5tc/hi6e/wOMPPi7pvUmstsi1XR2JtWbuVt6VbK9kEqtzSK4uwv1n4sQqxVwTidUxcsz7kVgdI7VgSaw1k56bjmdWPoMFwxeIPgdLYq0ZmnN1EYPBYNN7+dza50SdgyWxOocv1rScNPT6Ty9k3soU7X4kVudIuR8sibV2Fh5fiBslN0Rv09mdtZvEWgskVw9Ye2ottmZuFa3IicTqGowxTNs5Dem56YhYFiGKYEmstWMv2F0Xdgl+DxKra3w39DvR+2B3Z+3GyDUjSay1QMPCHiBmmw6J1T3s23SSopLQMbSjINcmsbrHpjObcOnOJUztP1XQ65JY3UPMNh0Sq+uQXD1EDMGSWD1DDMGSWL2nyFiEen71vJqDJbF6hhiCJbG6h6KHhWNjY9G1a1eEhYXJHUo1hO6DJbF6jn0frLdDxCRW7ykoK0Dk8kiv5mBJrJ5j3wf7/S/fw5s8ii/WkR1HklhdQcrloDylsLBQ0uUP3YG/VGLwp8EstyTX7WvwlzTsu6iv5pc0FAv+Uolj48Z6dA29LWkoFokXEpnvx74M0WDj4sexSnOlW+frbUlDsag0V7I5KXNYsbHY42skXki0Lmk4cvVIXS9p6A40LCwAjDFEJ0djSPsheLTVo26dSxmrsOSV5uGDvR/g6yFfo75/fbfOpYxVWDxt06GMVVwyb2W6PG1in7HqcXcbTyG5isTtsttoXLdxjceQWKXBlWdBYhUHdwVLYhWXOfvm4KOUjxA/Jr7WOVgSq3coes5VrZzIOYGO33escQ6WxCoNH6d8jIcXPFzjWsQkVvFwpw+WxCouFmbB7zd/h8liwui40TW26ZBYvcctucbExCAsLAzBwcFo2rQpRo0ahbNnz9Z4TnJysnUBBv7rzJkzXgWuZLac3YJbZbecFjmRWKWhtKIU//v9fzUu9k9iFR++YJMvJeNG8Y1qx5BYxcfH4GMtcqpJsCRWgXBngnbIkCFsyZIl7NSpU+zEiRNs+PDh7MEHH2QlJSVOz0lKSmIA2NmzZ9mNGzesL5PJ5PJ9lVzQ5AiLxcJmJM5wuB8sFS9JS037wVLxkrRsObuFnc0/W+19Kl6SFv5+sL4f+9rsB0vFS8Lh1ZzrzZs30bRpU6SkpOCJJxzvyJCcnIyIiAgUFBSgYcOGHt1HjXOujDHM2jMLcw/OBVDVBzvwoYGUscqAo/1g4zLiKGOVmdQbqWjVoBWGrRpGGavE8PtgfX18ET8mHkH+QZSxCohXK2wXFlbtH9i4cc3FIgDQq1cvlJeXo2vXrvjggw8QERHhza0Vj8FgQExkDABg7sG5mLJ9CoL8glBaWUpilRiuD5YTbJ9FfVBcUQyAxCoXuy7swsjVI1E/oD5ul90msUoM1wcLVC3nujtrNxanLiaxCojHmStjDM899xwKCgqwf/9+p8edPXsW+/btQ58+fWA0GrFixQosXLgQycnJTrNdo9EIo9Fo/bqoqAitWrVSVebKwRjDG5vfwJITSwAAfVv0ReIEEqsc5JXm4eEfHkbe3TwAJFY5WZW+Cq8kvAIA8K/jj8NvHEbvFr1ljkp/mCwmfHHwC3y872MSq8B4nLlOmTIF6enpOHDgQI3HderUCZ06dbJ+PWDAAGRnZ+PLL790KteYmBh89NFHnoamKE7mncTms5sBAL2b9yaxysji3xaTWBXAnfI7mHd0nvXrCnMFvjz0peQbrhNA8qVkG7EuGrEI+6/sx1Ntn5I7NNXjUSvOu+++i82bNyMpKQkPPPCA2+f3798f5845b42YNWsWCgsLra/s7GxPwpQd+6rgPVF7rGI9du2YvMHpDGdVwbfLbuPC7QtyhqYr7KuCvx3yrSTb1RHVsa8KXjxyMYavGY6hq4aKul2dXnBLrowxTJkyBRs2bMDevXvRpk0bj26ampqKFi1aOP1+QEAAQkJCbF5qo6Z2m+jkaPRb3E/U/WCJe9Qk1qeWP4Unlj5RYx8sIQyO2m2m9p8q2X6wxD0ctds0rtcYnUI7udQHS9SOW3KdPHkyVq5cidWrVyM4OBg5OTnIyclBWVmZ9ZhZs2ZhwoQJ1q+//fZbbNy4EefOncPvv/+OWbNmYf369ZgyZYpwn0Jh1CRWxhjKKqv+e4m1Hyxxj5r6WE0WEyrMFTX2wRLCUFMfK78PlhAfZ32svj6+WP78cozrPo4EKwTu9O0AcPhasmSJ9ZioqCgWHh5u/Xru3LmsXbt2LDAwkDVq1Ig9/vjjbNu2bW71C6mpz9WVPlb+Yv/2fbCEcLjSx1pTHywhDK72sR69etTtBf4J93Clj7XSXMnGxY9z2AdLuA7tiiMg7iwQQYIVF3cWiCDBioenC0SYLWa26Pgikq2AuLNAhL1gt57dKmGk2oDWFhaI9Nx0RC6PdHmBCKH3gyXu4e6Shvb7wQ5aNsir/WCJKrxZ0vCdre9g4taJNAcrEO4uacgfIm4a1NTlXXSIe5BcBYATa/7dfLcWiLAXrMFgEDlS7ePpWsF8wRpggI+BfjS8wdu1god2GEpFTgLh6VrBnGCPvnkUHUI7SBCptqAt57zEU7HyYYzhyNUjGNBqgDhB6gQhFuHPK81DsbEY7Rq3Ezo83SDUIvwbz2zEmLgxbu8HS9xD6EX4d5zfAaPJWOt2dQRlrl4hhFiBqoyVL9Zbd29hzck1AkaqfYTa3aZpUFMbse48v5OqiN1AyN1tRnUehbgxcZTBeojQYv31+q8YtXYUxsSNoSpiF1C0XGNjY9G1a1eEhYXJHUo1hBKrPaUVpYhcHomXNrxEc7AuIta2cXsv7sWza5+lNh0XEWPbOHvBvrn5TYGi1TZibBvXs3lPPN/leVRaKkmwLqBouU6ePBkZGRk4dkxZqxmJJVYAqOdXD0PaDQFARU6uIOZ+rN2bdkeHxh2oD9YFxNyPlRNskF8QXujygiDX1DJi7cfKLfb/YvcXSbAuQHOubiKmWDkYY5i5eyY+P/Q5gKrt6ib3myzoPbSAFBudO9qujoo7bJFqo/ObpTdxX9B9gl9XS0ix0Tl/uzo/Hz/EjYmjOVgHKDpzVRpSiBWgNh1XiNkfI8l+rI7adCiDvYdUYgVgI9asgiy8t+M9moPlIYVYAccZ7C/XfhH8PmqHSu9cRCqxcnCCBYDPD32OKdunoK5fXbze63XR7qkWpMhY+djvBzto2SD88uYvuD/kflHvq3SkFCufCnMFBq8YjAsFF5BbmktVxJBOrBz8/WB9DD7o06KPaPdSKzQs7AJSi5UPN0S8+tRqJEcl675FRGqx8uGGiHu16IWlzy1FHZ86kt1bacglVo5NZzZhdNxoatOB9GLlY7KYYIBB1z8LziC51oKcYuVgjOFW2S00qddE0vsqDTnFynG77DYaBDTQ9S8TucXKQYKVV6z2mC1mvL31bYzsOJLmYEFzrjWiBLECVUPEfLFuzdyKH479IHkccqIEsQJA47qNrWI1W8z4v53/p6s5WKWIFbDdTUePfbBKEisALP5tMX5K/Yl20/kDkqsTlCJWe07fPI0//+/PmPzzZN0UOSlFrPZ8lPIRvj7ytW6KnJQkVg57wUYnR8saj1QoTawA8EbvN/Bi9xdpu7o/ULRc5VpEQqliBYDOTTpj2iPTAOijilipYgWAKf2m6KaKWIli5eAE26dFH0zrP03ucERHiWIFbKuISbA051oNJYuVQy99sEoWK4ce+mCVLFY+ZovZZi6cMaa5zTCUKlY+/D5YXx9fxI+J1+UcrKIzV6lRg1gBffTBqkGsgPb7YNUiVgA2Yv3P8f/glYRXNDUHqwaxAtUz2Jc3vIz8u/lyhyU5lLn+gVrEysc+g00cn4in2j4lc1Teoxax8uFnsG0atsGZKWfgX8df7rC8Qk1i5XOl8Ao6fN8BFeYKzVQRq0WsfEwWE97c/CZGdx2NER1HyB2O5JBcoU6xcnCCzSnNwX+f/a/qW0TUKFaOvNI8DF01FB8P+hjDOw6XOxyvUKtYObTUpqNGsTqjwlyh+j86XUX3clWzWDkYY2Bg1g2+1TrXpGaxcliYxWajdTU+C7WLlUMLgtWSWC/cvoDBKwfj68Ff62IOVtdzrloQK1A1B8v9QjdbzJiwcYLq5mC1IFYANmI9f/s8Bvw0QFVzsFoRK6D+PlgtiRUAvv/le2QVZOmmili3ctWKWO2Jz4jHyvSVqipy0opY7Zny8xQcvXZUNUVOWhIrh71gN57ZKHdILqE1sQLAl4O/1FWbji6HhbUqVqBqGHLWnlmYe3AuAOW36WhVrIC62nS0KFY+m85sQlpuGj584kPFD9NrUawcemrT0Z1ctSxWDrUIVsti5VCDYLUuVkeUVZbBr46f4uZgtSxWDr0IVtHDwkKv0KQHsQJVc7AxkTGY8dgMAMrsg5VqP1a5UXofrB7FerfyLoavHq64OVg9iBWo3gf76YFPYWEWucMSHqYCCgsLGQBWWFjo8TXSctJY6NxQhmiwvov6soKyAuECVCgWi4XNSJzBEA0W8O8AduXOFblDYowx9sm+TxiiwRAN9sm+T+QORxJyS3JZt9huDNFgw1cNlzscxhhjBWUFLGxRGEM0WOjcUJaWkyZ3SJKQfDGZ+X7syxANNi5+HKs0V8odEku8kMgC5wQyRIONXD2SlVeWyx2S6FSaK9kHez5g+aX5cociCroYFk7PTceTy57ErbJbms5YHcEYwz+T/onHHnwMz7R/Ru5wdDEU7Iy80jy8v/N9fDf0OzSu21jWWPSYsfJRUpuOXjJWV7h85zIeaviQ3GEIgublqmexOqPYWIzggGDJ76tnsTpDjmehd7FyKEGwfLGO6DgC8WPidSvWBccWYNrOafjf6P9pYg5W0XOu3kJirc65W+fQJbaL5HOwJNbqxP4Siy6xXSSdgyWx3kPuPlgS6z0YYziQfQAV5grNtOloVq4kVsfEZ8TjWvE1SYucSKzVMZqMWPjrQlwrviZZkROJtTp8we44vwOX7lyS5L4kVlsMBgOWjVqGcd3HaaYPVpPDwiRW5zCJt6sjsTpHyjYdEmvNbD67GQ+EPIDeLXqLfi8Sq3NMFhMmJEzAmlNrVN+mozm5klhrRyrBklhrRwrBkljd5/TN0+gQ2kHwOVgSa+1oRbCaGhYmsbqGFPvBklhdQ+w+WBKr+xzOPoxHFj8i+BwsidU1fH18sfz55dYh4vTcdLlD8gjNyJVbIILE6hr2gl1yYgkqzBWCXJvE6h72gt2auVWQ65JYPSOvNA9lpjJBi5xIrO7BCTZ+TDw+DP9Q7nA8Q572WteYP38+69KlC+vYsWONi0ik5aSxJp830dUCEUJhsVjY90e/Z7fu3hLkenpcIEIockty2YJjCwS5ll4XiBCKhNMJgi00wV8gYsTqEbpYIEIMSowlLPlissfnmy1mAaOpHUXLlaOmFZpIrMKTnpPu0XkkVmEpNhazC7cvuH0eiVUYhBAsiVUYSitKWfiScOb3sR/beHqj2+ebLWY2cfNEESJzjqqHhfWyVrCUfH/0e/RY2MPtOVgaChaWkooSDF89HAOXDHRrDpaGgoVjVOdRiBsT53EfLA0FC4d/HX+0CG6BSkslxsSNcatNx8IseGfrO1j02yIRI6yOauVKYhWHq0VXAbhX5ERiFZ6yyjLcunvLrSInEqvw8AV7p/wOzBazS+eRWIWFv9i/O4Lli9XHILHuJM2TPcR+WFiPi/BLhcViYdN3TbcO784/Or/G42koWDz4i/23/Koly8zPdHosDQWLy75L+1hZZZlLx9JQsHhUmivZi/EvMkSj1iFibigY0WA+H/mwFWkrJIxUhXOuJFbxcVWwJFbxcUWwJFZpsVgsbGXaSodzsCRW8bEX7KYzm6odI7dYGXNzzjUmJgZhYWEIDg5G06ZNMWrUKJw9e7bW81JSUtCnTx8EBgaibdu2WLhwoUdZ9qm8U9THKgGu9MHSULA01NYHS0PB0jNz90y8kvBKtTlYGgqWBv4QcXBAMFqFtLL5vv1Q8LJRy/BKj1ekD9QdEw8ZMoQtWbKEnTp1ip04cYINHz6cPfjgg6ykpMTpOVlZWaxevXps6tSpLCMjg/3444/Mz8+PxcfHu3xfLnNtFdOKMlYJ4Wew/075t/V9ylilh8tgG89tzE7cOMEYo4xVLjae3litipgyVumpNFeyc7fO2bynhIyVw6th4by8PAaApaSkOD1m+vTprHPnzjbvvf3226x///4u34eT69b0rWzQ0kEkVgmxWCxsT9Ye69ckVvnILcm1tkmRWOWFL9iIpREkVgWw79I+Nnj5YEWIlTEvN0s/f/48OnTogJMnT6J79+4Oj3niiSfQq1cvzJs3z/peQkIC/vKXv+Du3bvw8/Ordo7RaITRaLR+XVRUhFatWqGwsBDBwcEwGAyehkx4AQ0FKwP+UHDDwIZIeTWFhoJlYNOZTXjhfy/AwiwAgOEdhmP9X9bTULAMnMo7hV7/6QWTxSTvUDAPj2uTGWN4//338fjjjzsVKwDk5OSgWbNmNu81a9YMJpMJ+fn5Ds+JiYlBgwYNrK9WrarG1M0WM8pMZZ6GTHgBX6wA0CCggYzR6Be+WAHAz8cPdX3ryhyVPgnyD7JZ2D/YPxj+dfxljEifWJgF847Os5n/DvYPljGiKjyW65QpU5Ceno41a9bUeqx9pskly84y0FmzZqGwsND6ys7OBgBM2joJw1YNQ2lFqadhEx7AF+vABwcCEGexf6Jm+GJtXLcx2jVqh5t3b0q2HyxxD654qcJcgb4t+8Lfxx9DOwylUTWJ4YqXFv+2GD4GH/R/oD8szKKI/WA9kuu7776LzZs3IykpCQ888ECNxzZv3hw5OTk27+Xl5cHX1xehoaEOzwkICEBISIjNCwC2n9+OlMspGL56OAlWIuyHglNeTRF1Nx3CMfZVwUlRSTj0xiHRdtMhnGNfFXzgtQPImpqFCT0nyB2arnBUFbz/tf14sfuLythw3Z0JWovFwiZPnsxatmzJMjOdN7TzmT59OuvSpYvNe5MmTfKooGl3xm4WEhPCEA0WviSclRidVykT3uOseMndhSYI76ipeMmdhSYI73GlKvh60XU2I3GGV4v9EzVTU1Uwvw/W92Nftv/yfllidEuu77zzDmvQoAFLTk5mN27csL7u3r1rPWbmzJls/Pjx1q+5Vpz33nuPZWRksJ9++snjVpzCwkJ2OPuwjWArTBXufATCRWqrCrYX7I+//ihDlNrHlapge8FeKrgkQ6TaxxWxVpor2cM/PCzIbjqEY1xpt+EEO3zVcNmqt92SKwCHryVLlliPiYqKYuHh4TbnJScns169ejF/f3/WunVrtmCBe9tq2S9/yAl2Tsoct65DuIar7TacYKkVRBzcabfhBEutIOLgTh+roz5YQhjc6WOtNFfK+rPgVSuOVBQVFaFBgwYoLCy0zr9eL76OlsEtZY5Me7jbbsMYw42SG/QsBMaTlZfy7+Yj2D+YWkEEZk/WHoxYM8KtlZc2ndmE0XGjYbKYMK77OCx/frlNZTHhPt6svMQYw/TE6fhi8BciR3kP1e6Kw/9lXmwsxv/t/D8qcvIST/pYDQaDzbPYf3k/Fh73bHlLogpPlzRsUq+J9Zc+YwwfJX9ERU5e4olYAeC5zs8hfky8x9vVEbZ4u6ThqpOr8OXhL0WM0AGy5cxuUNNm6YwxNmzVMCpy8hIhVl7Kup3Fgj4JoiInLxBq5aW5B+ZSkZOX7L6w2+uVl/hDxH/b+TcRotQ+QixpWGmuZOPix4kQnXNUm7ny+fCJDxESEEJtOh4i1MpLrRu2xpR+UwBQm44nCLkI/6t/epXadLzA04zVHi6D7dKkC6b2nypCpNpGqEX4fX18sfz55SJEWAOSqtxN5s+fz7p06cI6duxYY+bKGKtWRUwZrGsIvVawxWJhMxJnUJuOm4ixVjC16XiGEBmrPVTU5D5KWoTfExQtV47ahoU5SLDuIdYi/CRY9xBzEX4SrHuIIVZ71p1ax8ZvGE/CrQG1i5UxjQwLc/R/oD92vrLTOkT86qZX5Q5JsYi5CL/BYEBMZAxmPDYDQNUQ8dbMrYJdX0uIvR+r/X6wkcsjUVZJ63M7Qqih4JrIKcnBqxtfxYr0FVTk5ATF7MfqLXLb3RVczVw5DmcfZu2/a89O5p4UOTJ1ItW2cVwG++yaZ5nRZBTtPmpFym3jcktyWY8FPdiq9FWi3UPNSJGxclAfrHO0kLFyqLbPtTZMFhP1lTlA6m3jGGMwMzM9CzvEzlgdQT8TjrFfK1iMjNUe6oOtjmYy1j/Q1LAwH/4/1H2X92HE6hG6ryKWYz9Wg8FgfRaMMUzdPlX3VcRyiBWw/Zm4XnwdTy57UvdVxHKIFaA+WHu0JlZAw3LlKDeVY9z6cdh2bpuu23SUsNH5lswt+O6X73TdpiOXWO2Z8vMUJF1K0nWbjlxi5bAX7Kr0VZLdW0loUayADuQa6BuI9X9Zr+s+WCWIFQBGdhyp6+3qlCJWAFg4YqGu+2DlFisHJ9ipj0zV5ZZ1WhUrAGh2ztWeI1ePYMjKISgyFiH8oXBse2kbgvyDBI5UeShFrByMMczcPROfH/ocADB/6HxM7jdZ1pikQEli5cgrzcOTy57E7zd/R8vglkiOSkaH0A6yxiQFShGrMyrMFfAx+Gh+DlbLYgV0kLly2Lfp6CGDVZpYgao52M+e+kxXGawSxQpUb9PRQwarBrGOjR+r+TlYrYsVULhcY2Nj0bVrV4SFhQlyPXvBfnlI4oWcJUSJYuWwF+zUHVNx/vZ5maMSB6WKlcNesBO3TpQ7JNFQulgB4Pj149iauVXTRU56ECsAbfa51sbh7MNsQsIEzfZeStXH6i0Wi4XN2j2LrTm5Ru5QREHKPlZvyS3JZc+vfZ5dK7omdyii4M5+rHKj5T5YLfWx1oZu5lxrgjGGclM56vrVFfzaUqPkjNUVyirLNPEclJ6xuoJWnoUUKy8JjRb7YHWTsf6BooeFpYAxhik/T8HQVUNVPwerdrFeLbqKngt7qn4OVgtiXX1yNTrHdlb9HKwaxQporw9Wb2IFSK64eOciVp5cqfoiJ7WLFQDWnlqLc7fPqbrISQtiNVlMmHtwLq4UXlF1kZNaxcrBF+yms5twJv+M3CF5hB7FCuioFacm1N6mowWxAupv09GCWDnU3qajdrHy2XRmExoGNkR463C5Q3EbvYoVILlaUatgtSJWDrUKVkti5VCrYLUkVkdcLLiIVg1aKX4OVs9iBWhY2Ioa+2C1JlZAnX2wWhQroM4+WK2L9WTuSfRb3E/xc7B6FytAcrWBL9gDVw7gUPYhuUNyCl+scyLmaEKsHPaC/f6X7xW7B6lWxcphL9jVJ1fLHZJTtC5WALh05xLulN9RdJETibUKGhZ2wJGrR5BdmI0x3caIfi9PsBfrP574h8wRiQNjDF8f/hrjHh6HlsEt5Q6nGloXK5+80jwsPbEUf3/07zAYDHKHUw09iJVDyW06JNZ7KFqusbGxiI2NhdlsRmZmpmRyteda0TU0DGyoiDlYvYjVGedunVPEvJ+exOoIo8mInJIcPNTwIblD0ZVYOZQoWBKrHTIsXOE2Qq/Q5A5X7lxh7ea1Y+FLwlmJsUTy+/Phr7w0J2WOrLHIwYq0FazOR3XY/KPzZY1DTSsviUF5ZTkbuXoka/lVS5aZnylrLLsv7FbNyktCo6SVnPS08pKr0JxrLeSU5ODm3ZuyFznpPWMFgN/zfoeZmWUtctJ7xgoAJRUlyCrIkr3ISY8ZKx9+H+zlwssoN5XLEgdlrE6Q2+6uIGfmyljVWsQhMSEM0ZAlg9V7xsphsVjY9F3Trf8tpM5g9Z6x8sktyWXdYrsxREOWDFbPGas9e7P2sqLyIlnuTRmrcyhzdQE523QoY72HnG06lLHaImebjt4zVnsi2kQgOCDY+vWmM5skqSKmjLVmSK4uIodgSazVkUOwJFbHyCFYEmvNzD0wF6PWjRK9TYfEWjskVzfgCzanJAfFFcWi3YvE6hx7wV4ouCDavUisNcMXbGF5IfJK80S7F4m1djo36Sz6Yv8kVtdQdCsOh9R9rrVx7NoxPBDyAFoEtxDl+iRW12CMYdu5bRjeYbgovZckVtfJK81DVkEW+j/QX5Trk1hdR8w2HRKr65BcBWD7ue144qEnBOmDJbF6jtFkxK4LuzCy00ivr0Vi9Y60nDTU86snSE8yidV9xBAsidU9FD0sHBsbi65duyIsLEzuUJyyKn0Vhq8eLsgcLInVcyrNlfjz//6MZ9c+6/UcLInVO07mnsSTy58UZA6WxOoZjvaD9SaPIrG6j6LlOnnyZGRkZODYsWNyh+KUdo3bob5/fa+LnEis3uHr44vuTbsD8K7IicTqPc3qN0OL+i28LnIisXoHJ1g/Hz/0f6C/x1MnJFbPoGFhAThy9QgGrxiM4opij7arI7EKA2MMs/bMwtyDcwG4v10diVU4vN2ujsQqHBcLLqJNozYenUti9RxFZ65qof8D/bFr/C4E+wcj5XIKhq0e5nIGS2IVDoPBgJjIGMx4bAYA9zJYEquweNOmQ2IVFr5YC8oKEJ0c7VIVMYnVO0iuAsEX7L7L+zBs9bBalyMjsQqPI8EuPL6wxnNIrOLgSLBZBVk1nkNiFQ8Ls2DEmhH4KOWjWtt0SKzeQ3IVEL5gw1qGIaCO818KJFbx4Au2vn/9GkVJYhUXvmDbN26PpkFNnR5LYhUXH4MPpj86vdY+WBKrQLi7XmJKSgobMWIEa9GiBQPAEhISajw+KSmJAaj2On36tMv3lHttYXe5WHCRWSwWp9+ntYKlwWKxsIsFF51+n9YKlo68kjxWbCx2+n1aK1g6atpNh9YKFg63M9fS0lL07NkT8+fPd+u8s2fP4saNG9ZXhw7y78kpFq0btrZW5pWbyvHh3g+tc7Ax+2MoY5UIg8GA1g1bW79OvZGKRb8uAkAZq9TcF3Qf6vvXt3797ZFvrXOwlLFKi6M2HZPFRBmrwLjdVTx06FAMHTrU7Rs1bdoUDRs2dPs8tfPaptew9tRa7L+yHxGtIxCdEg2AxCo114qu4akVT+F22W0UlhciLiOOxCoTC48vxHs738MXh77Ap09+iknbJpFYJYYT7Oi40Vhzag2a1G0Co9lIYhUQyeZce/XqhRYtWiAyMhJJSUk1Hms0GlFUVGTzUitTH5lqXeyfxCofLYNb4s1ebwIApu+eTmKVkRe6vGAtcnp106skVpngBPtgyIPIu5tHYhUY0eXaokULLFq0COvXr8eGDRvQqVMnREZGYt++fU7PiYmJQYMGDayvVq1aiR2maPR/oD9eevgl69etG7bGtP7T5AtIpxgMBsx8fCaa129ufW9i74kkVhloGtQU0YOiYUDV1ElAnQB8FvkZiVUGRnYaiafbPY11v68jsQqMV4tIGAwGJCQkYNSoUW6dN3LkSBgMBmzevNnh941GI4xGo/XroqIitGrVSrGLSNREzP4YzN47G0DVLxGj2ejRQhOEd/DnWOv61kWZqQyA+wtNEN7Dn2Ot718fJRUlHi00QXiHoznW++rdh7W/r8WPI38UbLF/vSJLK07//v1x7pzzhvKAgACEhITYvNQIX6xzIuYg+dVk6xDxSxtequVsQijsi5cOv3HYZj/YDac3yByhfrAvXsr4fxnWIeKIZREoMqp3CkhNOBLrsA7DMCZuDJaeWCr6frB6QJY/TVJTU9GihTjbtSkFe7Fyc6w7X9mJMXFjMPOxmXKGpxucVQVzw8FHrx3FkHZDZI5SHzirCt4btReRyyMxqc8khASo8w9pNVFTVfCK51dYi5wACLpdnd5we1i4pKQE58+fB1BVpPT1118jIiICjRs3xoMPPohZs2bh2rVrWL58OQDg22+/RevWrdGtWzdUVFRg5cqV+Oyzz7B+/Xq88MILLt1T6WsL2+NMrBxGk5HmlySgtnYbxhgqzBX0LCSgtnYb+pmQBlfabcTcD1ZXuNsY62xRiKioKMYYY1FRUSw8PNx6/Ny5c1m7du1YYGAga9SoEXv88cfZtm3b3LqnmhaR+HTfp24tEPHr9V/ZqLWjWImxRILo9IMnC0T8K+lfbP7R+RJEpy/cXSDi1t1bbPiq4SwzP1OiCPWBOwtE1LTQBOEabstVDtQiV3fFWmGqYK2/bc0QDRa+JJwEKxCeiHXX+V3WZ0eCFQ5PVl56af1LDNFgLb9qSYIVCE9WXuIL9odffpAgSm1BawsLRG1DwY7wq+OHNX9eYy1yEmLDdb3j6cpLT7V9yqbIydsN1wnPV176Zsg3Hu2mQzjG05WXuD7YqJ5ReKvPWxJEqi1oP1cB8ESsfI5cPYIhK4egyFhEbTpe4O2ShowxzNw9E58f+hwAtel4g7dLGnq7HyxRhdBLGpotZjAwmoN1AcpcvcRbsQJVC03sfGUnZbBeIMRawQaDAZ899RllsF4ixFrB3uwHS1Qhhljf3PImtem4iKLlGhsbi65duyIsLEzuUBwihFg57AX7ccrHQoWpeYRchN9esO9ufxen8k4JGa6mEXIRfnvBjk8YDxUMtCkCMRbhT81Jxcr0lTVuV0fwkHfK1zWUWNDkbvGSqxzOPkzVw24g1rZxFouFzUycyWJ/iRXkenpArG3jckty2ZAVQ9i5W+cEuZ7WEXPbOKoidh2ac/UAITPW2mCModJSCf86/qLdQ61IvW1chbmCnoMTpN42jp6FY6TYNo76YF1D0cPCSkRqsf4r+V8YvGIwzcHaIbVYb929hUcWP0JzsA6QWqw/n/sZXWK70BysHVLtx+psP1jCFpKrG0gpVgC4WnQV847OoyInO+TY6HzVyVU4kXOCipzskFqsFmbBP5P+iayCLCpy4iH1Rud8wcZnxCP1Rqpo91IrNCzsIlKLlYPadGyRQ6wAtek4QmqxclCbji1Si5XPpjObYDAY8GynZyW5n5ogubqAXGLlIMFWIZdYOUiw95BLrBwk2CrkFKsjrhdfR9OgpjQHCxoWrhW5xQpQHywgv1gB6oPlkFusAPXBAsoTa1ZBFvov7k9zsH9Acq0BJYiVw16wiVmJssUiNUoQK4e9YOcenIuSihJZYpEDJYiVw16wC44vkCUOOVCaWAHg9M3TuFFyg4qcOOTqAXIHOfpcxepj9ZbD2YfZj7/+KHcYkiFWH6u3WCwWFrM/hp2/dV7uUCRDrD5Wb8ktyWUf7PmAmcwmuUORBH4fqyHaIGgfq7dQH+w9FD3nGhsbi9jYWJjNZmRmZko256qkjLU2bt29hUDfQE3OwSopY3WFK4VX8GCDB+UOQxSUlLHWhtliRk5JDu4PuV/uUASHn7EaYMDy55fLnrHaQ32wfyC33V1BysxVqRmrI26W3mQ9FvTQ5HZ1Ss1YnbHl7Bbm/29/TW5Xp9SM1REms4m9suEVTW5Xp+SM1R7KYGnLORvUlLECwOU7l3HpziXNFTmpLWMFqiq6K8wVmityUlPGCgCFxkKk3kjVXJGTGjJWPvw+2IybGSg2FssdkvTIbXdXkCJzVVPGyudw9mEWEhOimQ3X1ZaxclgsFjYjcYamNlxXU8bKJ7ckl3WL7aaZDdfVlLHas+v8Lnaz9KbcYcgCZa5QX8bKR0ttOmrMWDkMBgNiImMw47EZANTfpqO2jJWPltp01Jax2vN0u6fRpF4T69e7s3brpopY93JVs1g5tCBYNYuVQyuCVbNYObQgWLWL1Z5Fvy7C0yue1k2bjq7lqgWxcvAFe/HOReTfzZc7JJfRglg57AV7/MZxVe1BqgWxcvAFm383H1kFWXKH5DJaEysANAtqpqvF/hXdisMhxvKHWhIrn1+u/YIm9ZqgbaO2cofiEloSKx/GGOIz4vFClxdQx6eO3OG4hJbEyievNA+n8k7hyTZPyh2KS2hRrBx6atPRpVy1KlZH7Lu8D31a9FFkH6xWxeoIs8WMPRf3YHC7wXKH4hCtitUR52+fB2NMkWsRa1msHHoRrO6GhfUk1q2ZW/HU8qcUOQerN7FO2DgBQ1YOUeQcrJ7EeuH2BQxaOkiRc7B6ECvgeD9YC7PIHZbgKFqusbGx6Nq1K8LCwgS5np7ECgBN6jVBXb+6iity0pNYAcDH4IMHgh8AoLwiJz2JFQCCA4LRMLCh4oqc9CJWDr5gOzTuAAMMcockOLoZFtabWDmUtl2d3sTKwRS4XZ3exMqhtO3q9CZWPmfyz6BTaCcYDNqTq6IzV6HQq1gBZbXp6FWsgPK2q9OrWAFltenoWawA0LlJZ6tY71bexWcHPtNMFbHm5apnsXI4EmxZZZmkMehZrByOBPvDsR8kj0PPYuVwJNjzt89LGoPexcqHMYYX1r2AWXtmaaZNR9NyJbHegy/Yto3aSvrLlMR6D75gA+oESN4yRWK9B1+wzYKaoXHdxpLdm8Rqi8FgwDt939FUH6xm51xJrI7JvJWJ9o3bw8cgzd9VJFbHMMaQeSsTnZp0kuyeJFbH5JXmwdfHVzK5klido6U2HU1mriRW53QM7WgVq8liQsz+GNHmYEmszjEYDDZizbyVif+m/le0+5FYndM0qKmNWP+b+l/R5mBJrDXjqE1HrRms5uT66f5PSawuMnnbZMzeOxvDVg8TXLAkVte5WXoTEcsi8MbmN0QpciKxus6q9FV4Y/MbohQ5kVhdw16w7/78rtwheYSm5Prp/k/xj71VMv3kyU9IrLXwWq/XEBIQgn2X9wkqWBKrezSp1wSvPFz1S1boKmISq3s83e5pUaqISazuwQm2WVAzvNXnLbnD8QjNzLnai3X2wNlShqha+H2wTzz0BH5+6Wev+mBJrJ4hRh8sidUzhO6DJbF6TmlFqSKXbnUFRWeurq7QRGL1HH4V8b7L+7zqgyWxeo7QfbAkVs8Rsg+WxOodfLEeyj6EiVsmejwHe6XwilBhuYbk27N7QGFhIQPACgsLq33vk32fMESDIRrsk32fyBCdNjicfZiFxIQwRIM9s/IZZrFY3Dq/oKyAhS0KY4gGC50bytJy0kSKVNtYLBY2fdd067/pNSfXuH2N3Rd2s8A5gQzRYCNWj2DlleUiRKp9cktyWbfYbgzRYC2/aslu3b3l1vlmi5lN3DyRIRrMEG1gK9JWiBSp9iksL2Shc0MZosHGxY9jleZKt86/fOcyazuvrUjROUbRmWttUMYqHFwG2zSoKaY9Ms2t5cgoYxUOfgbbu0Vvt3fRoYxVOPgZ7Nt93narVcfCLPh/2/4fZawCERIQgp+e/cmjKuIrhVcQsSxC8v18VTvnSmIVB3fnOEis4sAYw93Ku249CxKrOLj7M8GJ9T+//ofEKjDu9sHyxdquUTuc/6t0q3CpMnMlsYoH/5fI2fyzGLd+nNM5WBKreBgMBptn8f3R72ucgyWxigf/OZRUlODF+BedzsGSWMXFnT5Ye7EmRSVJG6y748gpKSlsxIgRrEWLFgwAS0hIqPWc5ORk1rt3bxYQEMDatGnDFixY4NY9+XOuNMcqDSaziXWe35khGix8STgrMZbYfJ/mWKXjwOUD1n/z84/Or/Z9mmOVjrc2v2Wdg83Mz7T5ntliZm9veZvmWCVg4+mNzPdjX4ZosC8Pflnt+9wcK6LB2s1rx67cuSJ5jG5nrqWlpejZsyfmz5/v0vEXL17EsGHDMHDgQKSmpmL27Nn461//ivXr17t7a3x56EvKWCWijk8dLHluicPddChjlZZHWz3qtIqYMlZpmfPkHIdVxJSxSguXwT7X6blqLWuOMtZWDVpJHqNXc64GgwEJCQkYNWqU02NmzJiBzZs34/Tp09b3Jk2ahLS0NBw+fNil+3BzrpgJIJDEKiX2+8GuemEVnl/3PIlVYpiDPtjOTTqTWGXAvg9274S9+ObINyRWGWCMWYsvGWO4dOcSnlrxlOxiBQDRV0Q+fPgwBg+2rXgcMmQIfvrpJ1RWVsLPz6/Wa3x56Evr/yexSgtXRTxk5RCkXE5Bl9guKK4oJrFKDFdFDACfH/ocU7ZPgZ+PHyotlSRWieGqiDnB9l7UG3cr75JYZYAv1olbJmLtqbUoqSyRXayABAVNOTk5aNasmc17zZo1g8lkQn5+vsNzjEYjioqKUFRUhNTLqYjZHwMA+DD8QxKrDPR/oD/ix8TDx+CD4opiBPoGklhlgBPs2K5jAQCVlkoMfHAgiVUGmgY1xe4Ju9EosBHuVt4FACwdtZTEKhOJFxKxOHUxSipLUN+/PhLHJ8oqVkCiamH7nkluJNpZL2VMTAwaNGiABg0aoHfr3jD9r6oa7G+P/k3cQAmH3Cm/g3/s/QcszAI/Hz8kvpJIYpWJvRf3YlPmJgBAp9BOSByfSGKVAQuzIDo5GgXlBQCATyI+wYSeE2SOSp9cKbyCd35+x/p1SUUJ/rH3H7LvpiO6XJs3b46cnByb9/Ly8uDr64vQ0FCH58yaNQuFhYXWV3ZStthhEk64U34HT6942jrHeuytY3j8ocet35f7H7CesCle6jACaZPSrGKl5yAd1YqXRi3H7CfujajRs5AO++KlH0f+qJjt6kSX64ABA5CYmGjz3q5du9C3b1+n860BAQEICQmxefFhjEm+2oYe4cR6/Ppx6xxrz+Y9rd+fd2Qenl7xtGj7wRL3qFYV/Jd7Q8ElFSV4ctmTomxXR9jiqCp4fM/x1u8fuHIA3X/ojsxbmTJGqQ8cVQW/2ftN5ewH627vTnFxMUtNTWWpqakMAPv6669Zamoqu3z5MmOMsZkzZ7Lx48dbj8/KymL16tVj7733HsvIyGA//fQT8/PzY/Hx8S7fk9/narFY2F9//isL/jSYHbpyyN3wCRcpKCtgfRf1ddrHmluSa12L2FEfLCEctfWxLjy2sMY+WEIYautjtVgsrP/i/tY+2LP5Z2WKVPvU1sfK9cEaog0s+WKyLDG6LdekpCQGoNorKiqKMcZYVFQUCw8PtzknOTmZ9erVi/n7+7PWrVt7tYhEWWUZi1gawRANEqxI1CZWjsPZh1nwp8EkWBFxZYEIi8XCZiTOIMGKiKsLRNgv9k+CFR5XF4jYeHqjrAt5qHJt4dKKUoxcMxJJl5IQ7B+Mna/sxIBWA+QOUxM4GgquqXjpyNUjGLxiMIorigXZD5a4hzsLRDDGMGvPLMw9OBeAMPvBElW4u0CEfR9sUlQSOoZ2lDBi7eLNAhH5d/PRpF4TkSO8hyrXFg7yD8KWcVsQ0ToCxRXFGLJyCA5nu7YgBeEce7HumbCn1qrg/g/0x67xuxDsH4x9l/dh2OphNAcrAO6uvGQwGBATGYMZj80A4P1+sEQVnqy8ZL8fbMSyCJqDFQBvxHqj+AYGLhkocoS2qFKuQHXBfpj0IVSQhCsWR2LlFy/VhL1gE84kiByttvF0SUN7wX6U8hEKygrEDlezeLOkob1gvzj4hcjRahtvlzRMz03H+dvS7YgDQP2bpZcYS9jU7VNZQVmB9IFpBPs51hM3Tnh0ncPZh9lXh74SODp9IcQi/BaLhf075d+0mYIXCLUIf25JLntvx3u0mYIXCLUI/8bTGwWOrGZUOedaGzklOWhev7kEkakfbzLW2ig2FsPH4ENzsC4i5iL89DPhOmIuws8YQ15pHprVb1b7wYRiFuH3BEUPC8fGxqJr164ICwtz+ZxvDn+Djt93pDlYF6itj9Ubio3FGLpqqM1uOoRzxBTrvsv70OH7DjQH6wJii3Xajmnovai30/1giXuoWayAwuU6efJkZGRk4NixYy4db7KYsCVzCxU5uYC7VcHucqHgAk7mnay2XR1RHbG3jdudtRslFSVU5FQLYm8bV1xRjD0X91Tbro6ojtrFCihcru7i6+NLVcQuILZYAeBPzf+Ena/sdLgfLHEPKfZj/WjQR073gyWqkGI/1pCAEJsiJxKsY7QgVkBjcgWoTac2uI3OxRQrB7ddHQnWMVJtdM7tpkOCdYyUG53bVxGTYG3RilgBDcoVcCzYQ9mH5A5LduwX4Zdi2zgSrGN2Z+2WdKNzEqxjpBQrBwnWMVoSK6BRuQJVgt360larYI9cPSJ3SLIixVCwM/iC/f3m77hadFWS+yqV3Vm7MXLNSMnEymEv2MSsRF33hsshVg6+YHNKcpCWmybJfZWK1sQKAJpsxeFzt/IuNp3ZhHEPjxMpOuUjp1j5HL16FEH+QejetLvk91YKcomVD2MMK9NXYmz3sfCv4y/pvZWCnGLlk1eahyNXj+DZTs9Kfm+loEWxAjqQa7VrGYtw4fYF9GrRS6DolI1SxOqI49ePo0uTLrrpg1WCWB3BGMP+K/vxxENPyB2KJChFrI64XnwdpRWl6BDaQe5QJEGrYgU0PCzsiCJjEYauGorwpeG6mIP1ZK1gqdh3eR/Cl4brZg5WyWL96/a/InxpuC7mYJUu1kFLB+lmDlbLYgUULldPFpGoCV8fXwTUCUBxRTGeWfmMpgUr5spLQuBfxx++Pr66KHJSqlg56vnVA6D9IiclixWo+v3kX8dfF0VOWhcroMNh4buVdzFi9QjrdnU7XtmBR1s9KlCkykDpYuU4cvUIhqwcgiJjEcIfCse2l7ZpbohY6WIFqrLXmbtn4vNDnwPQ5nZ1Shcrh/12dclRyZobItaDWAGFZ65iUM+vnk0VsdYyWLWIFdB+m44axApov01HLWIFtN+moxexAjqUK+BYsFpo1VGTWDm0Kli1iJVDq4JVk1g5tCpYPYkV0KlcAVvBBvoGItg/WO6QvEKNYuXgC7ZR3Ubwq+Mnd0heoTaxcvAF62PwQWi9ULlD8go1ipWDL9ggvyDVT5foTayADudc7SmtKMW14mvoGNpR0OtKiZrFyifjZgbaN26v6t5LtYqVD2MMablp+FPzP8kdiseoWax88krzYLKY0DK4pdyheIwexQroOHPlCPIPshFr8qVkVc3BakWsAND1vq5WsTLG8N3R71Q1RKwFsQJVGSxfrFeLrmJ52nL5AnITrYgVqMpg+WKNz4hX1RCxXsUKkFxtOHbtGIatGqaaIictidWe6YnTMXXHVNXMwWpFrPbcKb+DiGURiNoYpYo5WC2J1Z7NZzdjbPxY1czB6lmsAMnVhm5Nu6H/A/1VUUWsZbECwJ+7/lk1RU5aFSsANAhogBc6vwBA+UVOWhYrUFWb0KVJF1UUOeldrADJ1Qa1tOloXayAeqqItSxWQD1VxBZmwTtb39GsWAH1VBGTWKtQtFyFXqHJFZQuWD2IlUPpgtW6WDmULlhOrIt+W6RZsXIoXbAk1nvovlrYGfYrOR1+4zC6Ne0myb2doeRF+MWEv5JTZJtIJI5PhMFgkDUmvYiVj/1KTiueXyG7xPQkVj72Kzn9NvE3NKvfTNaYSKy2KDpzlRN+BvtU26dkb9XRq1iBexls47qN8Vbvt0isMsHPYDuGdkRkm0hZ49GrWAHbDHZ0l9FoGtRU1nhIrNWhzLUW7lbehZ+Pn6wLG9wpv4PBKwbj2PVjuhMrn8LyQjQIbCBrDHoVKx/GGIqMRbI+Cz2LlU+RsQjB/sGy/sFJYnUMZa61UM+vnlWsFmbB/+38P0nnYEms9+D/Ms8uzMZrm16TdA6WxFqFwWCweRYr01dKOgdLYr1HSECIVaxGkxFvbX4LmbcyJbs/idU5JFc3mP/LfHx95GvJipxIrI5hjGHUulFYemKpZEVOJFbHpN5IRdTGKMmKnEiszpm5eyYWpy5GxLIISQRLYq0ZkqsbvNHrDZsq4sPZh0W7F4nVOQaDAbHDYiWrIiaxOudPzf+Evz/6dwDiVxGTWGtm1sBZ1ipisQVLYq0dkqsbBPkHYcu4LVbBDlk5RBTBklhrR6o2HRJrzRgMBsRExmDGYzMAiCdYEmvt2LfpiCVYEqtrkFzdRGzBklhdR2zBklhdQ2zBklhdR2zBklhdh+TqAfaCHb56OArLC72+LonVfewFO3XHVEGuS2J1D0eCPXDlgNfXJbG6j71gn13zLEwWk9fXJbG6CVMw8+fPZ126dGEdO3ZkAFhhYaHcIdlQWlHKBq8YzOJ+j/P6WgVlBSxsURhDNFjo3FCWlpMmQIT64XD2YfbIj4+wG8U3vL5W4oVEFjgnkCEabMTqEay8slyACPWBxWJhMxJnsPd2vMcsFotX1zJbzGzi5okM0WCGaANbkbZCoCj1QW5JLuu/uD/bf3m/19e6fOcyazuvLUM0WLt57diVO1cEiFDbUJ+rlzDGbHrMLMwCH4N7AwKUsQqDEM+CMlbv4X6lcM/Ck+dAGaswCPEzQRmrZ9CwsJfw/+FeKbyCPov6uDUHS2IVDv6zWJG2Ak+veNqtOVgSqzAYDAab3svn1j7n1hwsiVU4+D8TaTlp6PWfXm6tRUxi9RySq4D8K/lfOJFzAkNWDnGpD5bEKg4FZQX4646/Yu/FvS4XOZFYxWHtqbXYmrnV5SInEqs4MMYwdcdUpOemu7zYP4nVO0iuAhI7LNbl3XRIrOLRqG4jbH95u8tVxCRW8ZjQc4LLVcQkVvEwGAz435j/ubybDonVe0iuAuLqdnUkVvFxtU2HL9aRHUeSWAXG1TYdEqv4uLpdHYlVGDyS6w8//IA2bdogMDAQffr0wf79+50em5ycbJ2D4b/OnDnjcdBKpjbBklilozbB2os1bkwciVUEahMsiVU6ahMsiVU43JbrunXrMG3aNPzjH/9AamoqBg4ciKFDh+LKlSs1nnf27FncuHHD+urQoYPHQSsde8G+v/N9MMZIrDJgL9gV6SsAkFilxl6ws/bMQl5pHolVBuwF+2HShwBIrILjbu9Ov3792KRJk2ze69y5M5s5c6bD45OSkhgAVlBQ4O6trBQWFiqyz7U2SitK2cTNE9mN4hvUxyozh7MPsw/2fMAsFotNH+vI1SOpj1VCLBYL+1fSv9jBKwepj1Vmckty2Vub32LFxmLqYxUBt/pcKyoqUK9ePcTFxeH555+3vj916lScOHECKSkp1c5JTk5GREQEWrdujfLycnTt2hUffPABIiIinN7HaDTCaDRavy4qKkKrVq0U2efqCvyMtXHdxkiKSqKMVSb4Geuw9sOwYewGylhlgDJW5cDPWNs0bIOUV1MoYxUAt4aF8/PzYTab0axZM5v3mzVrhpycHIfntGjRAosWLcL69euxYcMGdOrUCZGRkdi3b5/T+8TExKBBgwbWV6tW6n3QfLHW96+PClOFpHuQEvfgi7VpUFMUVxQLsiwc4R72Yg3yCxJk+VDCffhibRzYGHcr76LcVC53WJrAo4Im+13vmd0qIHw6deqEt956C71798aAAQPwww8/YPjw4fjyyy+dXn/WrFkoLCy0vrKzsz0JU3bs51i73tcVJZUlLvfBEsLBF+ughwahrLIM+6/sl2w/WKIKe7E+3/l5lFSWSLYfLHEPvljbNmyLJvWaILc01+U+WKJm3JJrkyZNUKdOnWpZal5eXrVstib69++Pc+ecP7yAgACEhITYvNSGo+KlpKgkl/tgCeGwL17a8coO7Bq/S7L9YIkqHA0Fx/8lHtMfnQ5A/P1giXvYFy8lv5qM/a/vd7kPlqgdt+Tq7++PPn36IDEx0eb9xMREPProoy5fJzU1FS1atHDn1qrCWVVwPb96NrvpkGDFx1lVsFT7wRJV8MXqY/CxzrEaDAZ89tRnJFgJcVYV7GofLOEi7lZArV27lvn5+bGffvqJZWRksGnTprGgoCB26dIlxhhjM2fOZOPHj7ce/80337CEhASWmZnJTp06xWbOnMkAsPXr17t8TzVVC7tSFVxiLGERSyMYosGCPw1mB68clCFS7eNKVfDh7MMsJCaEIRosfEk4KzGWyBCptuFXBft85OOwKthisbDpu6YzRIMhGmz+0fkyRKp9XKkKzi3JZd1iuzFEg7X8qiXLzM+UIVL14/ac69ixY/Htt9/i448/xp/+9Cfs27cPP//8Mx566CEAwI0bN2x6XisqKvC3v/0NPXr0wMCBA3HgwAFs27YNL7zwglB/HygGV/tY7feD3XF+hwzRahtX+1j5GexvN37Dudv0l7qQ2Gesy0Ytc1gVbJ/Bxp+Oh9liljpcTeNqH6t9Brv/ivNFggjn0JZzAuHJAhGlFaVYdXIV3ur9ltOCMMJ9PFkg4sjVI2CMYUCrARJFqX1cFSsfxhgW/7YYLz38EoL8gySKVPt4skBEXmkeEi8k4uUeL0sUpbYguQqAUCsvlZvKkXkrk3pgvUColZd+z/sdrRu2pl/wHuKJWJ3xy7Vf0O/+fgJHqB+EWnnpdtlt3C67jfaN24sQpfaghfu95E75HTy94mlBxDpq7Sg8/t/HqcjJQ4QS6283fsPAJQOpyMlDhBRrdHI0Hln8CBU5eYiQYn1q+VMIXxpORU4uQnL1Ak6sx68f93qtYAuzoMJcYa0idmfDdULYtYIrzBUwMzNVEXuAkGJljKGssgwAVRF7gpBrBZssJlSYK6iK2A0ULdfY2Fh07doVYWFhcodSDSHFClRf7H/IyiEkWBcRehF+atPxDCHFClQvciLBuo7Qi/BTm4770JyrBwgtVj6lFaUYuWYkki4lIdg/GDtf2UlFNjUg5u42R64ewZCVQ1BkLEL4Q+HY9tI2moN1gtBi5cMYw8zdM/H5oc8BAPOHzsfkfpMFubYWEXN3m7zSPDy57En8fvN3tAxuieSoZHQI1e4OZ96g6MxViYgpVqB6mw5lsM4Re9s4ymBdQ0yxApTBuoPY28ZRBus6JFc3EFusHHzBcpvLE7ZItR8rX7A+BvpxsUdssXLYC5aeRXWk2o+VL1gD6PeTM2hY2EWkEiuf0opSnL99Hj2b9xT1PmpDjo3O03LS0L5xexoW5iGVWPkwxnDk6hGaKrFDjo3O80rzUGwsRrvG7US9j1qhP/9cgOtjlVKsQFUGyxfr8evHdd+mI4dYAaBn855WsTLGsCR1ia6HiOUQK1CVwfLFeuvuLaw5uUb0+yoZOcQKVGWwfLHuPL8TmbcyRb+vWiC51oJQC0R4y6m8U3h6xdO6XuxfLrHa8+n+T/H65td1Owcrl1jtKa0oReTySLy04SXdzsHKJVZ79mTtwbNrn0XEsggS7B+QXGtAKWIFgDYN26BX81663U1HKWIFgMi2kbotclKKWIGq9rUh7YYA0GeRk1LECgAPN3sYHRp3wPXi6yTYPyC5OkFJYgWqhoj5fbB6EqySxArot4pYSWIF9F1FrCSxAtWriEmwJFeHKE2sHHrcD1ZpYuXQm2CVJlYOPQpWaWLlIMHaomi5yrFCk1LFymHfB/vMymeQlpMmd1iioFSxctgLdsSaEZrcJk2pYuVwJNglqUtkjkoclCpWDkeCvVp0Ve6wZIFacXgoXax8uJWcfAw+2DxuM+r51ZM7JEFRulj5HLl6BM+sfAZzn5qLt/u+LXc4gqJ0sfLhVnJac2oNkqKSNNcionSx8uFWcurdojeWPLcEdXzqyB2S5JBc/0BNYuUorSiFwWAgsSqA/Lv5aFKvidxhCIqaxMrBGMOtsluaexZqEitHQVkBQgJCdClWQOHDwlKhRrECVUPEnFgZY/h3yr9Vv1SiGsUKwOaXef7dfLyz9R1Vz8GqUaxA1RAx/1lszdyKH479IGNE3qNGsQJAo7qNrGI1W8x4f+f7uloqUfdyVatY7VlyYgn+mfxPDFk5RLVFTmoVKx/GGF5Y9wIW/rpQtUVOahWrPadvnsaf//dnTP55smqLnNQqVnuik6PxzZFvdLUWsa7lqhWxAsDYbmNVXUWsBbECVZnT509/rtoqYq2IFQA6N+mM9/q/B0CdVcRaESsAvPvIu7pb7F+3ctWSWAF198FqRawcam3T0ZJYgao/dGIiYzDjsRkA1CVYLYkV0OduOrqUq9bEymG/4boaBKs1sXKoTbBaEyuHGgWrNbFy6E2wupOrVsXKYS/YoauGIv9uvtxhOUSrYuWwF+ykbZPkDskhWhUrhyPB7s7aLXNUjtGqWDnsBTtk5RBUmCvkDkscmAooLCxkAFhhYaFX1ykoK2Bhi8IYosFC54aytJw0gSJUHqUVpSxyWSRbdHyR3KE4JPFCIgucE8gQDTZy9UhWXlkud0iicTj7MHv4h4fZhdsX5A6lGmaLmU3cPJEhGsznIx+2Im2F3CGJhsViYTMSZ7CohChmMpvkDqcal+9cZm3ntWWIBms3rx27cueK3CGJRm5JLuvznz5sW+Y2uUMRDUX3ucbGxiI2NhZmsxmZmZle9blqPWN1hIVZbDaVZowpYmNjrWesjlDis9B6xuoIxhgYmPVZKOE5ANrPWB2hxJ8JIVH0sPDkyZORkZGBY8eOeXUdPYoVgM0/3JulNzFwyUDZ+2D1KFbA9llsObsFz6x6RtY5WD2KFagaIuaehdlixoSNE2Sfg9WjWAHbn4nzt89jwE8DNDUHq2i5CoFexWrPP5P+iYPZB2Xtg9WrWPmUVJTg9c2vY9eFXbIVOelVrPbEZcRhZfpKWYuc9CpWe6b8PAVHrx3VVJGTpuVKYr3Hl4O/tKkiljqDJbFWUd+/PraM2yJbFTGJ9R5ju42VdTcdEus9lj+/XHNVxJqVK4nVFvvddIasHCKZYEmstsjVpkNitUXO7epIrLZosU1Hk3IlsTpGDsGSWB0jtWBJrI6RQ7AkVsdoTbCakyuJtWbsBfv21rdhYRZR7kVirRl7wS44vkCU+5BYa8ZesP+36/+QXZgtyr1IrDVjL9j3d70vd0ieI2MbkMu42ueqpz5WbykxlrAJCRPYxYKLolxfT32s3nI4+zB79+d3mdliFvzaeupj9RaLxcI+2PMB235uuyjX11Mfq7fkluSyl9e/zG7dvSV3KB6j6D5XDlf2c6WM1XuKjEUICfB+v1zKWL3DZDGhwlzh9T69lLF6j1A/E5Sxeo9Qz0IqFD0sHBsbi65duyIsLKzG40is3rPpzCa0ndfW6zYdEqt3mCwmjE8Yj2Grhnk1B0ti9Z7MW5noGtvV6zlYEqv3xP4Si66xXWWZg01LS8P48ePx+OOPY+vWrSgoKMC0adPwzjvv4Pnnn8eJEyccnyh36uwKNQ0L01Cw91gsFjZkxRCGaLDgT4PZwSsHPboODQV7z+mbp1lITAhDNFj4knBWYixx+xo0FCwMn+77lCEaDNFg84/O9+gaNBTsPeWV5az7D90ZosFaftWSZeZnenSdZSeWeXTea6+9xiorK9m///1vdt9997E///nP7OrVq2zv3r3Mz8+PTZkyxeF5is5ca4MyVmEwGAxY/5f1XvXB8jPWER1HUMbqIZ2bdPaqipgyVuGY+fhMr6qIKWMVhgDfAOyZsMerKuLlacvx6sZX3b73hQsX0LJlS/j6+uL69eu4ffs2Zs+ejfvvvx+3bt1C/fr1MXLkSMcne6RyiXGUuVLGKjwlxhIWsTTCmsEeunLIpfP4GeuI1SMoYxWAw9mH3c5gKWMVHovFwqbvmu52BksZq/DkluSybrHd3M5gl51YxgzRBoZo93V38OBB9ttvvzHGGHv44YdZeHi4y+eqMnOljFUcPOmDtc9Y48fEU8YqAO72wVLGKg6e9MFSxioOnvTBchkrA8OkPu5v+fjoo4+iV69eyM/Px6lTpzBo0CCXz1WdXEms4mIv2LWn1jo9lsQqLnzBHrl6BGm5aQ6PI7GKi71gl5xYgkpzpcNjSaziYi/Ybee2OT3WXqyxwz0vTEtKSgJjzC25qmpY+HLuZRoKlogSYwn76tBXTnsvaShYOg5nH2Y7zu1w+D0aCpYOi8XCvjvyHbt997bD79NQsHTkluSyBccWOP0+fyh40pZJXveQv/POOywgIICVlZW5fI6q+lx7z+uN3wp+o4xVBkwWU1Vrwn1dKWOVmQu3L6B5/eao61eXMlaZOZl7Eg83e5gyVpkpqShBXmke2jZq6zBj5W9v5wldunRBs2bNkJyc7PI5vl7dUWJ+u/EbQhuRWKXGZDHh5Q0vY/u57fh3xL8xc89MEqtMnM0/i4hlEejQuAPaNW6HJSeWkFhl4vuj3+OvO/6Kjwd9jKVpS0msMlFSUYJhq4bhQsEFTH1kKmbunimoWHNycnDmzBmMHTvWrfMUIVfGGIqLi61fG41GGI1G69fc9+Y8NgcRnSPQum5rFBUVSR6nXrlbeRc38m+guKgY0zZNAwAMaT8E/x3yXxjvGmGEseYLEIJx7eY1FBcVY1/+PuzDPhgMBiwcsRDPtn6WfiYkJisnCygH/rnjnwCANo3aYPPzm9HA0ICehYTkl+bj5u2buJ5/HTO2zgAAvN7rdcQMjEFJcUm144ODg2EwGFy+fm5uLpo1a4a//OUvbsWliGFhbtiXIAiCIMSkpmV0hUQRcq0tc71x4wb69euHjIwMXGVX0e/+fk7/8ggLC8OxY8dqvacrxwl5raKiIrRq1QrZ2dm1Plgh7yvEcUkXkzA2fiyMJiNwF0C9qk2/N4zdgEceeEQVn4GPXM/C22tZmAXv7XgPS08shcFgAKtggB/w2IOPIW5MHIL8g0T/DEIep+afiezCbIxYMwKXCi4hJCAERcaqTPWLp7/AxL4Tvbqvnn4mXD2upmPWnFyDSVv/aLMpA1AXaB7cHNte2ob2jdtXO97dzNVTFDEsbDAYXPpLYsOlDfjglw/wtwF/w+dPf+7wP1CdOnVcupYrxwl5LY6QkBDJ7+vNcbuzduPFrS/C6GvE0I5DsX3idgyMHYj92fvx501/xo5XduDRVo8q+jM4Q+pn4c21uHabpWeWwqeuDxYOWYiJoyci5P+F4GDeQYzbOg7bXtrmULBKfxZq+5m4UngFzyY8i0tll9CuRTtsemETur/WHXgc+Pv+v6Nu/bqY3G+yx/fV08+Eq8c5O2Z52nK8s/sdIBB4vcfr+O/4/6LLZ11w+tZpjNwwEklRSegY2rHWGMRAXX2uf7i00FgIBscJ9+TJjv9Re3KckNdyB6Hv6+lx9ovwLxu+DCgH1j23DhGtI1BpqXS6sIFSPoO3KOHfk6M+1rFdxgJXgQ0vbEBIQAhKK0tRaXHce6mFZ6GUz+CwKjikFbAbmNp3KoCq30/e3FfJz0GM+3r638S+KvirJ78CSoEto7eg233dYDQZUVZZ5lIMouBV849EZGdnMwAsOzub7c3aK8q+l2Lj6p60SmH3hd3VFuHnf4YSYwk7nH1Y7jA9Qk3PwlkfK/8z/Hr9V6e9l0pGTc+BMed9rNznuHPnDtuTtUfmKD1Dbc/CUR8r/zPkluSy9Jx0WWNUReYaEBBg/d+INhHW0mqTxYRV6avA5J82rpWAgAD861//sn4WJbMnaw9GrBlRbds4/mcI8g9C/wf6W885k38GR64ekTFq11HLs6hp5SX+Z+jdojca1W1kPS/u9zivtquTCrU8B6DmlZe4zxEYGIgn2zxpPaekogTxGfFyhewWanoWzvpY+Z+haVBTPNzsYes5B68clH67OlnV7iKO/qqyWCxsbNxYhmiwv+38G7NYLDJGqB34GaurKy+dv3WeNf+yuVuL/RM14+nKS7G/xHq1XR1RHU9WXiqrLGOP//dxr7arI6rjycpLh7MPs6BPgljLr1pKEOE9VJG5OsJgMCD8oXAAwJeHv8T0xOmqyGCVDD9jdWeBiOb1m6NLky7Wxf693XBd73izVnDvFr093q6OqI6nKy8F1AnAY60eA+DZdnVEdTxdealto7Zo3bA1rhdflyDKeyiiFac2uD5YqfqTCIIgCMIbVCFX9kcfrFT9SQRBEAThDaqQK0EQBEGoCdXOuSqRH374AW3atEFgYCD69OmD/fv3Oz02OTkZBoOh2uvMmTMSRmzLvn37MHLkSLRs2RIGgwEbN26s9ZyUlBT06dMHgYGBaNu2LRYuXCh+oDXg7mdQ4nOIiYlBWFgYgoOD0bRpU4waNQpnz56t9TwlPQtPPoMSn8WCBQvQo0cP6+IKAwYMwPbt22s8R0nPAXD/MyjxOdgTExMDg8GAadOm1XicnM+C5CoQ69atw7Rp0/CPf/wDqampGDhwIIYOHYorV67UeN7Zs2dx48YN66tDhw4SRVyd0tJS9OzZE/Pnz3fp+IsXL2LYsGEYOHAgUlNTMXv2bPz1r3/F+vXrRY7UOe5+Bg4lPYeUlBRMnjwZR44cQWJiIkwmEwYPHozSUufFSUp7Fp58Bg4lPYsHHngAn332GY4fP47jx4/jySefxHPPPYfff//d4fFKew6A+5+BQ0nPgc+xY8ewaNEi9OhR885osj8LSWuTNUy/fv3YpEmTbN7r3LkzmzlzpsPjk5KSGABWUFAgQXTuA4AlJCTUeMz06dNZ586dbd57++23Wf/+/UWMzHVc+QxKfw6MMZaXl8cAsJSUFKfHKP1ZuPIZ1PAsGGOsUaNGbPHixQ6/p/TnwFHTZ1DycyguLmYdOnRgiYmJLDw8nE2dOtXpsXI/C8pcBaCiogK//vorBg8ebPP+4MGDcehQzW0pvXr1QosWLRAZGYmkpCQxwxScw4cPV/vMQ4YMwfHjx1FZ6XgpPqWi5OdQWFi1nF7jxo2dHqP0Z+HKZ+BQ6rMwm81Yu3YtSktLMWDAAIfHKP05uPIZOJT4HCZPnozhw4fjqaeeqvVYuZ+FIhbuVzv5+fkwm81o1qyZzfvNmjVDTk6Ow3NatGiBRYsWoU+fPjAajVixYgUiIyORnJyMJ554QoqwvSYnJ8fhZzaZTMjPz0eLFi1kisx1lP4cGGN4//338fjjj6N79+5Oj1Pys3D1Myj1WZw8eRIDBgxAeXk56tevj4SEBHTt2tXhsUp9Du58BqU+h7Vr1+K3335zaacdQP5nQXIVEPs2IcaY09ahTp06oVOnTtavBwwYgOzsbHz55ZeK+KXuKo4+s6P3lYrSn8OUKVOQnp6OAwcO1HqsUp+Fq59Bqc+iU6dOOHHiBO7cuYP169cjKioKKSkpTuWkxOfgzmdQ4nPIzs7G1KlTsWvXLgQGBrp8npzPgoaFBaBJkyaoU6dOtSw1Ly+v2l9ONdG/f3+cOyfx+pde0Lx5c4ef2dfXF6GhoTJF5T1KeQ7vvvsuNm/ejKSkJDzwwAM1HqvUZ+HOZ3CEEp6Fv78/2rdvj759+yImJgY9e/bEvHnzHB6r1OfgzmdwhNzP4ddff0VeXh769OkDX19f+Pr6IiUlBd999x18fX1hNpurnSP3syC5CoC/vz/69OmDxMREm/cTExPx6KPV9zp1RmpqqiqGUjkGDBhQ7TPv2rULffv2hZ+fn0xReY/cz4ExhilTpmDDhg3Yu3cv2rRpU+s5SnsWnnwGR8j9LBzBGIPRaHT4PaU9B2fU9BkcIfdziIyMxMmTJ3HixAnrq2/fvnj55Zdx4sQJ1KlTp9o5sj8LScqmdMDatWuZn58f++mnn1hGRgabNm0aCwoKYpcuXWKMMTZz5kw2fvx46/HffPMNS0hIYJmZmezUqVNs5syZDABbv369XB+BFRcXs9TUVJaamsoAsK+//pqlpqayy5cvM8aqf4asrCxWr1499t5777GMjAz2008/MT8/PxYfHy/XR3D7MyjxObzzzjusQYMGLDk5md24ccP6unv3rvUYpT8LTz6DEp/FrFmz2L59+9jFixdZeno6mz17NvPx8WG7du1ijCn/OTDm/mdQ4nNwhH21sNKeBclVQGJjY9lDDz3E/P39We/evW3aDqKiolh4eLj167lz57J27dqxwMBA1qhRI/b444+zbdu2yRD1PbgSfPtXVFQUY6z6Z2CMseTkZNarVy/m7+/PWrduzRYsWCB94Dzc/QxKfA6O4gfAlixZYj1G6c/Ck8+gxGfx+uuvW3+m77vvPhYZGWmVEmPKfw6Muf8ZlPgcHGEvV6U9C1r+kCAIgiAEhuZcCYIgCEJgSK4EQRAEITAkV4IgCIIQGJIrQRAEQQgMyZUgCIIgBIbkShAEQRACQ3IlCIIgCIEhuRIEQRCEwJBcCYIgCEJgSK4EQRAEITAkV4IgCIIQGJIrQRAEQQjM/wf8nl8sX5S4eQAAAABJRU5ErkJggg==", "text/plain": [ "Graphics object consisting of 33 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(graph, xmin=0, xmax=4, ymin=0, ymax=4, aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "graph.save(\"glo_null_coord.pdf\", xmin=0, xmax=4, ymin=0, ymax=4, \n", " aspect_ratio=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compactified null coordinates\n", "\n", "Instead of $(u,v)$, which span $\\mathbb{R}$, let consider the coordinates $U = \\mathrm{atan}\\, u$ and $V = \\mathrm{atan}\\, v$, which span $\\left(-\\frac{\\pi}{2}, \\frac{\\pi}{2}\\right)$:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = plot(atan(u), (u,-6, 6), thickness=2, axes_labels=[r'$u$', r'$U$']) \\\n", " + line([(-6,-pi/2), (6,-pi/2)], linestyle='--') \\\n", " + line([(-6,pi/2), (6,pi/2)], linestyle='--')\n", "show(graph, aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "graph.save('glo_atan.pdf', aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(M,(U, V, {\\theta}, {\\phi})\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(M,(U, V, {\\theta}, {\\phi})\\right)$" ], "text/plain": [ "Chart (M, (U, V, th, ph))" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XNC. = M.chart(r'U:(-pi/2,pi/2) V:(-pi/2,pi/2) th:(0,pi):\\theta ph:(0,2*pi):\\phi',\n", " coord_restrictions=lambda U,V,th,ph: V-U>0)\n", "XNC" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle U :\\ \\left( -\\frac{1}{2} \\, \\pi , \\frac{1}{2} \\, \\pi \\right) ;\\quad V :\\ \\left( -\\frac{1}{2} \\, \\pi , \\frac{1}{2} \\, \\pi \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)\\)" ], "text/latex": [ "$\\displaystyle U :\\ \\left( -\\frac{1}{2} \\, \\pi , \\frac{1}{2} \\, \\pi \\right) ;\\quad V :\\ \\left( -\\frac{1}{2} \\, \\pi , \\frac{1}{2} \\, \\pi \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)$" ], "text/plain": [ "U: (-1/2*pi, 1/2*pi); V: (-1/2*pi, 1/2*pi); th: (0, pi); ph: (0, 2*pi)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XNC.coord_range()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} U & = & \\arctan\\left(u\\right) \\\\ V & = & \\arctan\\left(v\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} U & = & \\arctan\\left(u\\right) \\\\ V & = & \\arctan\\left(v\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "U = arctan(u)\n", "V = arctan(v)\n", "th = th\n", "ph = ph" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XN_to_XNC = XN.transition_map(XNC, [atan(u), atan(v), th, ph])\n", "XN_to_XNC.display()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} u & = & \\frac{\\sin\\left(U\\right)}{\\cos\\left(U\\right)} \\\\ v & = & \\frac{\\sin\\left(V\\right)}{\\cos\\left(V\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} u & = & \\frac{\\sin\\left(U\\right)}{\\cos\\left(U\\right)} \\\\ v & = & \\frac{\\sin\\left(V\\right)}{\\cos\\left(V\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "u = sin(U)/cos(U)\n", "v = sin(V)/cos(V)\n", "th = th\n", "ph = ph" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XN_to_XNC.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Expressed in terms of the coordinates $(U,V,\\theta,\\phi)$, the metric tensor is" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle g = -\\frac{1}{2 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} U\\otimes \\mathrm{d} V -\\frac{1}{2 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} V\\otimes \\mathrm{d} U + \\left( \\frac{\\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}}{4 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\frac{{\\left(\\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}\\right)} \\sin\\left({\\theta}\\right)^{2}}{4 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle g = -\\frac{1}{2 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} U\\otimes \\mathrm{d} V -\\frac{1}{2 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} V\\otimes \\mathrm{d} U + \\left( \\frac{\\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}}{4 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\frac{{\\left(\\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}\\right)} \\sin\\left({\\theta}\\right)^{2}}{4 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "g = -1/2/(cos(U)^2*cos(V)^2) dU⊗dV - 1/2/(cos(U)^2*cos(V)^2) dV⊗dU + 1/4*(cos(V)^2*sin(U)^2 - 2*cos(U)*cos(V)*sin(U)*sin(V) + cos(U)^2*sin(V)^2)/(cos(U)^2*cos(V)^2) dth⊗dth + 1/4*(cos(V)^2*sin(U)^2 - 2*cos(U)*cos(V)*sin(U)*sin(V) + cos(U)^2*sin(V)^2)*sin(th)^2/(cos(U)^2*cos(V)^2) dph⊗dph" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.display(XNC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, for a better display, we may factor the metric components:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle g = -\\frac{1}{2 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} U\\otimes \\mathrm{d} V -\\frac{1}{2 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} V\\otimes \\mathrm{d} U + \\frac{{\\left(\\cos\\left(V\\right) \\sin\\left(U\\right) - \\cos\\left(U\\right) \\sin\\left(V\\right)\\right)}^{2}}{4 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\frac{{\\left(\\cos\\left(V\\right) \\sin\\left(U\\right) - \\cos\\left(U\\right) \\sin\\left(V\\right)\\right)}^{2} \\sin\\left({\\theta}\\right)^{2}}{4 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle g = -\\frac{1}{2 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} U\\otimes \\mathrm{d} V -\\frac{1}{2 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} V\\otimes \\mathrm{d} U + \\frac{{\\left(\\cos\\left(V\\right) \\sin\\left(U\\right) - \\cos\\left(U\\right) \\sin\\left(V\\right)\\right)}^{2}}{4 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\frac{{\\left(\\cos\\left(V\\right) \\sin\\left(U\\right) - \\cos\\left(U\\right) \\sin\\left(V\\right)\\right)}^{2} \\sin\\left({\\theta}\\right)^{2}}{4 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2}} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "g = -1/2/(cos(U)^2*cos(V)^2) dU⊗dV - 1/2/(cos(U)^2*cos(V)^2) dV⊗dU + 1/4*(cos(V)*sin(U) - cos(U)*sin(V))^2/(cos(U)^2*cos(V)^2) dth⊗dth + 1/4*(cos(V)*sin(U) - cos(U)*sin(V))^2*sin(th)^2/(cos(U)^2*cos(V)^2) dph⊗dph" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g.apply_map(factor, frame=XNC.frame(), chart=XNC,\n", " keep_other_components=True)\n", "g.display(XNC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us call $\\Omega^{-2}$ the common factor: " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{llcl} \\Omega:& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1}} \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{llcl} \\Omega:& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1}} \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\end{array}$" ], "text/plain": [ "Omega: M → ℝ\n", " (u, v, th, ph) ↦ 2/(sqrt(u^2 + 1)*sqrt(v^2 + 1))\n", " (U, V, th, ph) ↦ 2*cos(U)*cos(V)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Omega = M.scalar_field({XNC: 2*cos(U)*cos(V)}, name='Omega', \n", " latex_name=r'\\Omega')\n", "Omega.display()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{llcl} \\Omega:& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1}} \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{llcl} \\Omega:& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1}} \\end{array}$" ], "text/plain": [ "Omega: M → ℝ\n", " (t, r, th, ph) ↦ 2/(sqrt(r^2 + 2*r*t + t^2 + 1)*sqrt(r^2 - 2*r*t + t^2 + 1))" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Omega.display(XS)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conformal metric\n", "\n", "We introduce the metric $\\tilde g = \\Omega^2 g$:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\tilde{g} = -2 \\mathrm{d} U\\otimes \\mathrm{d} V -2 \\mathrm{d} V\\otimes \\mathrm{d} U + \\left( \\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + {\\left(\\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}\\right)} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle \\tilde{g} = -2 \\mathrm{d} U\\otimes \\mathrm{d} V -2 \\mathrm{d} V\\otimes \\mathrm{d} U + \\left( \\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + {\\left(\\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}\\right)} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "gt = -2 dU⊗dV - 2 dV⊗dU + (cos(V)^2*sin(U)^2 - 2*cos(U)*cos(V)*sin(U)*sin(V) + cos(U)^2*sin(V)^2) dth⊗dth + (cos(V)^2*sin(U)^2 - 2*cos(U)*cos(V)*sin(U)*sin(V) + cos(U)^2*sin(V)^2)*sin(th)^2 dph⊗dph" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gt = M.lorentzian_metric('gt', latex_name=r'\\tilde{g}')\n", "gt.set(Omega^2*g)\n", "gt.display(XNC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly the metric components ${\\tilde g}_{\\theta\\theta}$ and ${\\tilde g}_{\\phi\\phi}$ can be simplified further. Let us do it by hand, by extracting the symbolic expression via `expr()`:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}\\)" ], "text/latex": [ "$\\displaystyle \\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}$" ], "text/plain": [ "cos(V)^2*sin(U)^2 - 2*cos(U)*cos(V)*sin(U)*sin(V) + cos(U)^2*sin(V)^2" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g22 = gt[XNC.frame(), 2, 2, XNC].expr()\n", "g22" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\sin\\left(-U + V\\right)^{2}\\)" ], "text/latex": [ "$\\displaystyle \\sin\\left(-U + V\\right)^{2}$" ], "text/plain": [ "sin(-U + V)^2" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g22_simpl = g22.factor().reduce_trig()\n", "g22_simpl" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}\\)" ], "text/latex": [ "$\\displaystyle \\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}$" ], "text/plain": [ "cos(V)^2*sin(U)^2 - 2*cos(U)*cos(V)*sin(U)*sin(V) + cos(U)^2*sin(V)^2" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g33st = gt[XNC.frame(), 3, 3, XNC].expr() / sin(th)^2\n", "g33st" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}\\)" ], "text/latex": [ "$\\displaystyle \\cos\\left(V\\right)^{2} \\sin\\left(U\\right)^{2} - 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\sin\\left(U\\right) \\sin\\left(V\\right) + \\cos\\left(U\\right)^{2} \\sin\\left(V\\right)^{2}$" ], "text/plain": [ "cos(V)^2*sin(U)^2 - 2*cos(U)*cos(V)*sin(U)*sin(V) + cos(U)^2*sin(V)^2" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g33st.expand_trig()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\sin\\left(-U + V\\right)^{2} \\sin\\left({\\theta}\\right)^{2}\\)" ], "text/latex": [ "$\\displaystyle \\sin\\left(-U + V\\right)^{2} \\sin\\left({\\theta}\\right)^{2}$" ], "text/plain": [ "sin(-U + V)^2*sin(th)^2" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g33_simpl = g33st.factor().reduce_trig() * sin(th)^2\n", "g33_simpl" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "gt.add_comp(XNC.frame())[2,2, XNC] = g22_simpl\n", "gt.add_comp(XNC.frame())[3,3, XNC] = g33_simpl" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hence the final form of the conformal metric in terms of the compactified null coordinates:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\tilde{g} = -2 \\mathrm{d} U\\otimes \\mathrm{d} V -2 \\mathrm{d} V\\otimes \\mathrm{d} U + \\sin\\left(-U + V\\right)^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\sin\\left(-U + V\\right)^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle \\tilde{g} = -2 \\mathrm{d} U\\otimes \\mathrm{d} V -2 \\mathrm{d} V\\otimes \\mathrm{d} U + \\sin\\left(-U + V\\right)^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\sin\\left(-U + V\\right)^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "gt = -2 dU⊗dV - 2 dV⊗dU + sin(-U + V)^2 dth⊗dth + sin(-U + V)^2*sin(th)^2 dph⊗dph" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gt.display(XNC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In terms of the non-compactified null coordinates $(u,v,\\theta,\\phi)$:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\tilde{g} = \\left( -\\frac{2}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1} \\right) \\mathrm{d} u\\otimes \\mathrm{d} v + \\left( -\\frac{2}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1} \\right) \\mathrm{d} v\\otimes \\mathrm{d} u + \\left( \\frac{u^{2} - 2 \\, u v + v^{2}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\left( \\frac{u^{2} \\sin\\left({\\theta}\\right)^{2} - 2 \\, u v \\sin\\left({\\theta}\\right)^{2} + v^{2} \\sin\\left({\\theta}\\right)^{2}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1} \\right) \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle \\tilde{g} = \\left( -\\frac{2}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1} \\right) \\mathrm{d} u\\otimes \\mathrm{d} v + \\left( -\\frac{2}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1} \\right) \\mathrm{d} v\\otimes \\mathrm{d} u + \\left( \\frac{u^{2} - 2 \\, u v + v^{2}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\left( \\frac{u^{2} \\sin\\left({\\theta}\\right)^{2} - 2 \\, u v \\sin\\left({\\theta}\\right)^{2} + v^{2} \\sin\\left({\\theta}\\right)^{2}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1} \\right) \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "gt = -2/((u^2 + 1)*v^2 + u^2 + 1) du⊗dv - 2/((u^2 + 1)*v^2 + u^2 + 1) dv⊗du + (u^2 - 2*u*v + v^2)/((u^2 + 1)*v^2 + u^2 + 1) dth⊗dth + (u^2*sin(th)^2 - 2*u*v*sin(th)^2 + v^2*sin(th)^2)/((u^2 + 1)*v^2 + u^2 + 1) dph⊗dph" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gt.display(XN)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\tilde{g} = -\\frac{2}{{\\left(u^{2} + 1\\right)} {\\left(v^{2} + 1\\right)}} \\mathrm{d} u\\otimes \\mathrm{d} v -\\frac{2}{{\\left(u^{2} + 1\\right)} {\\left(v^{2} + 1\\right)}} \\mathrm{d} v\\otimes \\mathrm{d} u + \\frac{{\\left(u - v\\right)}^{2}}{{\\left(u^{2} + 1\\right)} {\\left(v^{2} + 1\\right)}} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\frac{{\\left(u - v\\right)}^{2} \\sin\\left({\\theta}\\right)^{2}}{{\\left(u^{2} + 1\\right)} {\\left(v^{2} + 1\\right)}} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle \\tilde{g} = -\\frac{2}{{\\left(u^{2} + 1\\right)} {\\left(v^{2} + 1\\right)}} \\mathrm{d} u\\otimes \\mathrm{d} v -\\frac{2}{{\\left(u^{2} + 1\\right)} {\\left(v^{2} + 1\\right)}} \\mathrm{d} v\\otimes \\mathrm{d} u + \\frac{{\\left(u - v\\right)}^{2}}{{\\left(u^{2} + 1\\right)} {\\left(v^{2} + 1\\right)}} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\frac{{\\left(u - v\\right)}^{2} \\sin\\left({\\theta}\\right)^{2}}{{\\left(u^{2} + 1\\right)} {\\left(v^{2} + 1\\right)}} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "gt = -2/((u^2 + 1)*(v^2 + 1)) du⊗dv - 2/((u^2 + 1)*(v^2 + 1)) dv⊗du + (u - v)^2/((u^2 + 1)*(v^2 + 1)) dth⊗dth + (u - v)^2*sin(th)^2/((u^2 + 1)*(v^2 + 1)) dph⊗dph" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gt.apply_map(factor, frame=XN.frame(), chart=XN,\n", " keep_other_components=True)\n", "gt.display(XN)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and in terms of the default coordinates $(t,r,\\theta,\\phi)$:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\tilde{g} = \\left( -\\frac{4}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1} \\right) \\mathrm{d} t\\otimes \\mathrm{d} t + \\left( \\frac{4}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1} \\right) \\mathrm{d} r\\otimes \\mathrm{d} r + \\left( \\frac{4 \\, r^{2}}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\left( \\frac{4 \\, r^{2} \\sin\\left({\\theta}\\right)^{2}}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1} \\right) \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle \\tilde{g} = \\left( -\\frac{4}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1} \\right) \\mathrm{d} t\\otimes \\mathrm{d} t + \\left( \\frac{4}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1} \\right) \\mathrm{d} r\\otimes \\mathrm{d} r + \\left( \\frac{4 \\, r^{2}}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1} \\right) \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\left( \\frac{4 \\, r^{2} \\sin\\left({\\theta}\\right)^{2}}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1} \\right) \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "gt = -4/(r^4 + t^4 - 2*(r^2 - 1)*t^2 + 2*r^2 + 1) dt⊗dt + 4/(r^4 + t^4 - 2*(r^2 - 1)*t^2 + 2*r^2 + 1) dr⊗dr + 4*r^2/(r^4 + t^4 - 2*(r^2 - 1)*t^2 + 2*r^2 + 1) dth⊗dth + 4*r^2*sin(th)^2/(r^4 + t^4 - 2*(r^2 - 1)*t^2 + 2*r^2 + 1) dph⊗dph" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gt.display()" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\tilde{g} = -\\frac{4}{{\\left(r^{2} + 2 \\, r t + t^{2} + 1\\right)} {\\left(r^{2} - 2 \\, r t + t^{2} + 1\\right)}} \\mathrm{d} t\\otimes \\mathrm{d} t + \\frac{4}{{\\left(r^{2} + 2 \\, r t + t^{2} + 1\\right)} {\\left(r^{2} - 2 \\, r t + t^{2} + 1\\right)}} \\mathrm{d} r\\otimes \\mathrm{d} r + \\frac{4 \\, r^{2}}{{\\left(r^{2} + 2 \\, r t + t^{2} + 1\\right)} {\\left(r^{2} - 2 \\, r t + t^{2} + 1\\right)}} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\frac{4 \\, r^{2} \\sin\\left({\\theta}\\right)^{2}}{{\\left(r^{2} + 2 \\, r t + t^{2} + 1\\right)} {\\left(r^{2} - 2 \\, r t + t^{2} + 1\\right)}} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle \\tilde{g} = -\\frac{4}{{\\left(r^{2} + 2 \\, r t + t^{2} + 1\\right)} {\\left(r^{2} - 2 \\, r t + t^{2} + 1\\right)}} \\mathrm{d} t\\otimes \\mathrm{d} t + \\frac{4}{{\\left(r^{2} + 2 \\, r t + t^{2} + 1\\right)} {\\left(r^{2} - 2 \\, r t + t^{2} + 1\\right)}} \\mathrm{d} r\\otimes \\mathrm{d} r + \\frac{4 \\, r^{2}}{{\\left(r^{2} + 2 \\, r t + t^{2} + 1\\right)} {\\left(r^{2} - 2 \\, r t + t^{2} + 1\\right)}} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\frac{4 \\, r^{2} \\sin\\left({\\theta}\\right)^{2}}{{\\left(r^{2} + 2 \\, r t + t^{2} + 1\\right)} {\\left(r^{2} - 2 \\, r t + t^{2} + 1\\right)}} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "gt = -4/((r^2 + 2*r*t + t^2 + 1)*(r^2 - 2*r*t + t^2 + 1)) dt⊗dt + 4/((r^2 + 2*r*t + t^2 + 1)*(r^2 - 2*r*t + t^2 + 1)) dr⊗dr + 4*r^2/((r^2 + 2*r*t + t^2 + 1)*(r^2 - 2*r*t + t^2 + 1)) dth⊗dth + 4*r^2*sin(th)^2/((r^2 + 2*r*t + t^2 + 1)*(r^2 - 2*r*t + t^2 + 1)) dph⊗dph" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gt.apply_map(factor, keep_other_components=True)\n", "gt.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Einstein cylinder coordinates\n", "\n", "Let us introduce coordinates $(\\tau,\\chi)$ such that the null coordinates $(U,V)$ are\n", "respectively half the retarded time $\\tau -\\chi$ and half the advanced time $\\tau+\\chi$:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(M,({\\tau}, {\\chi}, {\\theta}, {\\phi})\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(M,({\\tau}, {\\chi}, {\\theta}, {\\phi})\\right)$" ], "text/plain": [ "Chart (M, (tau, ch, th, ph))" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XC. = M.chart(r'tau:(-pi,pi):\\tau ch:(0,pi):\\chi th:(0,pi):\\theta ph:(0,2*pi):\\phi',\n", " coord_restrictions=lambda tau,ch,th,ph: [tauch-pi])\n", "XC" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle {\\tau} :\\ \\left( -\\pi , \\pi \\right) ;\\quad {\\chi} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)\\)" ], "text/latex": [ "$\\displaystyle {\\tau} :\\ \\left( -\\pi , \\pi \\right) ;\\quad {\\chi} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)$" ], "text/plain": [ "tau: (-pi, pi); ch: (0, pi); th: (0, pi); ph: (0, 2*pi)" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XC.coord_range()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} U & = & -\\frac{1}{2} \\, {\\chi} + \\frac{1}{2} \\, {\\tau} \\\\ V & = & \\frac{1}{2} \\, {\\chi} + \\frac{1}{2} \\, {\\tau} \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} U & = & -\\frac{1}{2} \\, {\\chi} + \\frac{1}{2} \\, {\\tau} \\\\ V & = & \\frac{1}{2} \\, {\\chi} + \\frac{1}{2} \\, {\\tau} \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "U = -1/2*ch + 1/2*tau\n", "V = 1/2*ch + 1/2*tau\n", "th = th\n", "ph = ph" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XC_to_XNC = XC.transition_map(XNC, [(tau-ch)/2, (tau+ch)/2, th, ph])\n", "XC_to_XNC.display()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} {\\tau} & = & U + V \\\\ {\\chi} & = & -U + V \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} {\\tau} & = & U + V \\\\ {\\chi} & = & -U + V \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "tau = U + V\n", "ch = -U + V\n", "th = th\n", "ph = ph" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XC_to_XNC.inverse().display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The conformal metric takes then the form of the standard metric on the Einstein cylinder\n", "$\\mathbb{R}\\times\\mathbb{S}^3$:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\tilde{g} = -\\mathrm{d} {\\tau}\\otimes \\mathrm{d} {\\tau}+\\mathrm{d} {\\chi}\\otimes \\mathrm{d} {\\chi} + \\sin\\left({\\chi}\\right)^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\sin\\left({\\chi}\\right)^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}\\)" ], "text/latex": [ "$\\displaystyle \\tilde{g} = -\\mathrm{d} {\\tau}\\otimes \\mathrm{d} {\\tau}+\\mathrm{d} {\\chi}\\otimes \\mathrm{d} {\\chi} + \\sin\\left({\\chi}\\right)^{2} \\mathrm{d} {\\theta}\\otimes \\mathrm{d} {\\theta} + \\sin\\left({\\chi}\\right)^{2} \\sin\\left({\\theta}\\right)^{2} \\mathrm{d} {\\phi}\\otimes \\mathrm{d} {\\phi}$" ], "text/plain": [ "gt = -dtau⊗dtau + dch⊗dch + sin(ch)^2 dth⊗dth + sin(ch)^2*sin(th)^2 dph⊗dph" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gt.display(XC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The square of the conformal factor expressed in all the coordinates introduced so far:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{llcl} {\\Omega}^{ 2 } : & M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{4}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1} \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{4}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1} \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & 4 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2} \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & 4 \\, \\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{4} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{4} - 8 \\, \\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} + 4 \\, \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{4} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{4} \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{llcl} {\\Omega}^{ 2 } : & M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{4}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1} \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{4}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1} \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & 4 \\, \\cos\\left(U\\right)^{2} \\cos\\left(V\\right)^{2} \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & 4 \\, \\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{4} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{4} - 8 \\, \\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} + 4 \\, \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{4} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{4} \\end{array}$" ], "text/plain": [ "Omega^2: M → ℝ\n", " (t, r, th, ph) ↦ 4/(r^4 + t^4 - 2*(r^2 - 1)*t^2 + 2*r^2 + 1)\n", " (u, v, th, ph) ↦ 4/((u^2 + 1)*v^2 + u^2 + 1)\n", " (U, V, th, ph) ↦ 4*cos(U)^2*cos(V)^2\n", " (tau, ch, th, ph) ↦ 4*cos(1/2*ch)^4*cos(1/2*tau)^4 - 8*cos(1/2*ch)^2*cos(1/2*tau)^2*sin(1/2*ch)^2*sin(1/2*tau)^2 + 4*sin(1/2*ch)^4*sin(1/2*tau)^4" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(Omega^2).display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The transition map $(t,r,\\theta,\\phi) \\mapsto (\\tau,\\chi,\\theta,\\phi)$ is obtained by combining the various transition maps obtained so far:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} {\\tau} & = & \\arctan\\left(r + t\\right) + \\arctan\\left(-r + t\\right) \\\\ {\\chi} & = & \\arctan\\left(r + t\\right) - \\arctan\\left(-r + t\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} {\\tau} & = & \\arctan\\left(r + t\\right) + \\arctan\\left(-r + t\\right) \\\\ {\\chi} & = & \\arctan\\left(r + t\\right) - \\arctan\\left(-r + t\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "tau = arctan(r + t) + arctan(-r + t)\n", "ch = arctan(r + t) - arctan(-r + t)\n", "th = th\n", "ph = ph" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XS_to_XC = M.coord_change(XNC, XC) * M.coord_change(XN, XNC) * M.coord_change(XS, XN)\n", "XS_to_XC.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The inverse transitin map:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} t & = & \\frac{\\cos\\left(\\frac{1}{2} \\, {\\tau}\\right) \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)}{\\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} - \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2}} \\\\ r & = & \\frac{\\cos\\left(\\frac{1}{2} \\, {\\chi}\\right) \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)}{\\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} - \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2}} \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} t & = & \\frac{\\cos\\left(\\frac{1}{2} \\, {\\tau}\\right) \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)}{\\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} - \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2}} \\\\ r & = & \\frac{\\cos\\left(\\frac{1}{2} \\, {\\chi}\\right) \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)}{\\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} - \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2}} \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "t = cos(1/2*tau)*sin(1/2*tau)/(cos(1/2*ch)^2*cos(1/2*tau)^2 - sin(1/2*ch)^2*sin(1/2*tau)^2)\n", "r = cos(1/2*ch)*sin(1/2*ch)/(cos(1/2*ch)^2*cos(1/2*tau)^2 - sin(1/2*ch)^2*sin(1/2*tau)^2)\n", "th = th\n", "ph = ph" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XC_to_XS = M.coord_change(XN, XS) * M.coord_change(XNC, XN) * M.coord_change(XC, XNC)\n", "XC_to_XS.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expressions for $t$ and $r$ can be simplified via `reduce_trig`:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check of the inverse coordinate transformation:\n", " t == t *passed*\n", " r == r *passed*\n", " th == th *passed*\n", " ph == ph *passed*\n", " tau == arctan((sin(ch) + sin(tau))/(cos(ch) + cos(tau))) + arctan(-(sin(ch) - sin(tau))/(cos(ch) + cos(tau))) **failed**\n", " ch == arctan((sin(ch) + sin(tau))/(cos(ch) + cos(tau))) - arctan(-(sin(ch) - sin(tau))/(cos(ch) + cos(tau))) **failed**\n", " th == th *passed*\n", " ph == ph *passed*\n", "NB: a failed report can reflect a mere lack of simplification.\n" ] } ], "source": [ "t_c = XC_to_XS(tau,ch,th,ph)[0]\n", "r_c = XC_to_XS(tau,ch,th,ph)[1]\n", "\n", "XS_to_XC.set_inverse(t_c.reduce_trig(), r_c.reduce_trig(), th, ph)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} t & = & \\frac{\\sin\\left({\\tau}\\right)}{\\cos\\left({\\chi}\\right) + \\cos\\left({\\tau}\\right)} \\\\ r & = & \\frac{\\sin\\left({\\chi}\\right)}{\\cos\\left({\\chi}\\right) + \\cos\\left({\\tau}\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} t & = & \\frac{\\sin\\left({\\tau}\\right)}{\\cos\\left({\\chi}\\right) + \\cos\\left({\\tau}\\right)} \\\\ r & = & \\frac{\\sin\\left({\\chi}\\right)}{\\cos\\left({\\chi}\\right) + \\cos\\left({\\tau}\\right)} \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "t = sin(tau)/(cos(ch) + cos(tau))\n", "r = sin(ch)/(cos(ch) + cos(tau))\n", "th = th\n", "ph = ph" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XC_to_XS = XS_to_XC.inverse()\n", "XC_to_XS.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Expression of the stationary Killing vector in terms of various coordinate charts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The stationary Killing vector of Minkowski spacetime is" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\xi = \\frac{\\partial}{\\partial t }\\)" ], "text/latex": [ "$\\displaystyle \\xi = \\frac{\\partial}{\\partial t }$" ], "text/plain": [ "xi = ∂/∂t" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xi = M.vector_field(1,0,0,0, frame=XS.frame(), chart=XS,\n", " name='xi', latex_name=r'\\xi')\n", "xi.display(XS)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\xi = \\frac{\\partial}{\\partial u }+\\frac{\\partial}{\\partial v }\\)" ], "text/latex": [ "$\\displaystyle \\xi = \\frac{\\partial}{\\partial u }+\\frac{\\partial}{\\partial v }$" ], "text/plain": [ "xi = ∂/∂u + ∂/∂v" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xi.display(XN)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\xi = \\cos\\left(U\\right)^{2} \\frac{\\partial}{\\partial U } + \\cos\\left(V\\right)^{2} \\frac{\\partial}{\\partial V }\\)" ], "text/latex": [ "$\\displaystyle \\xi = \\cos\\left(U\\right)^{2} \\frac{\\partial}{\\partial U } + \\cos\\left(V\\right)^{2} \\frac{\\partial}{\\partial V }$" ], "text/plain": [ "xi = cos(U)^2 ∂/∂U + cos(V)^2 ∂/∂V" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xi.display(XNC)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\xi = \\left( \\cos\\left({\\chi}\\right) \\cos\\left({\\tau}\\right) + 1 \\right) \\frac{\\partial}{\\partial {\\tau} } -\\sin\\left({\\chi}\\right) \\sin\\left({\\tau}\\right) \\frac{\\partial}{\\partial {\\chi} }\\)" ], "text/latex": [ "$\\displaystyle \\xi = \\left( \\cos\\left({\\chi}\\right) \\cos\\left({\\tau}\\right) + 1 \\right) \\frac{\\partial}{\\partial {\\tau} } -\\sin\\left({\\chi}\\right) \\sin\\left({\\tau}\\right) \\frac{\\partial}{\\partial {\\chi} }$" ], "text/plain": [ "xi = (cos(ch)*cos(tau) + 1) ∂/∂tau - sin(ch)*sin(tau) ∂/∂ch" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xi.display(XC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conformal Penrose diagram\n", "\n", "Let us draw the coordinate grid $(t,r)$ in terms of the coordinates $(\\tau,\\chi)$:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 112 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graphXS = XS.plot(XC, ambient_coords=(ch, tau), fixed_coords={th: pi/2, ph: pi}, \n", " max_range=30, number_values=51, plot_points=250, \n", " color={t: 'red', r: 'grey'})\n", "graph_i0 = circle((pi,0), 0.05, fill=True, color='grey') + \\\n", " text(r\"$i^0$\", (3.3, 0.2), fontsize=18, color='grey') \n", "graph_ip = circle((0,pi), 0.05, fill=True, color='red') + \\\n", " text(r\"$i^+$\", (0.25, 3.3), fontsize=18, color='red')\n", "graph_im = circle((0,-pi), 0.05, fill=True, color='red') + \\\n", " text(r\"$i^-$\", (0.25, -3.3), fontsize=18, color='red')\n", "graph_Ip = line([(0,pi), (pi,0)], color='green', thickness=2) + \\\n", " text(r\"$\\mathscr{I}^+$\", (1.8, 1.8), fontsize=18, color='green')\n", "graph_Im = line([(0,-pi), (pi,0)], color='green', thickness=2) + \\\n", " text(r\"$\\mathscr{I}^-$\", (1.8, -1.8), fontsize=18, color='green')\n", "graph = graphXS + graph_i0 + graph_ip + graph_im + graph_Ip + graph_Im\n", "show(graph, figsize=8)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "graph.save('glo_conf_diag_Mink.pdf', figsize=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some blow-up near $i^0$:" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 44 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = XS.plot(XC, ambient_coords=(ch, tau), fixed_coords={th: pi/2, ph: pi}, \n", " max_range=100, number_values=21, plot_points=200, \n", " color={t: 'red', r: 'grey'})\n", "graph += circle((pi,0), 0.005, fill=True, color='grey') + \\\n", " text(r\"$i^0$\", (pi, 0.02), fontsize=18, color='grey') \n", "show(graph, xmin=3., xmax=3.2, ymin=-0.2, ymax=0.2, aspect_ratio=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To produce a more satisfactory figure, let us use some logarithmic radial coordinate:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(M,(t, {\\rho}, {\\theta}, {\\phi})\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(M,(t, {\\rho}, {\\theta}, {\\phi})\\right)$" ], "text/plain": [ "Chart (M, (t, rh, th, ph))" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XL. = M.chart(r't rh:\\rho th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "XL" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} t & = & t \\\\ {\\rho} & = & \\log\\left(r\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} t & = & t \\\\ {\\rho} & = & \\log\\left(r\\right) \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "t = t\n", "rh = log(r)\n", "th = th\n", "ph = ph" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XS_to_XL = XS.transition_map(XL, [t, ln(r), th, ph])\n", "XS_to_XL.display()" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left\\{\\begin{array}{lcl} t & = & t \\\\ r & = & e^{{\\rho}} \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.\\)" ], "text/latex": [ "$\\displaystyle \\left\\{\\begin{array}{lcl} t & = & t \\\\ r & = & e^{{\\rho}} \\\\ {\\theta} & = & {\\theta} \\\\ {\\phi} & = & {\\phi} \\end{array}\\right.$" ], "text/plain": [ "t = t\n", "r = e^rh\n", "th = th\n", "ph = ph" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XS_to_XL.inverse().display()" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "XL_to_XC = M.coord_change(XS, XC) * M.coord_change(XL, XS)\n", "XC_to_XL = M.coord_change(XS, XL) * M.coord_change(XC, XS)" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 40 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = XL.plot(XC, ambient_coords=(ch, tau), fixed_coords={th: pi/2, ph: pi}, \n", " ranges={t: (-20, 20), rh: (-2, 10)}, number_values=19, \n", " color={t: 'red', rh: 'grey'})\n", "graph += circle((pi,0), 0.005, fill=True, color='grey') + \\\n", " text(r\"$i^0$\", (pi, 0.02), fontsize=18, color='grey') \n", "show(graph, xmin=3., xmax=3.2, ymin=-0.2, ymax=0.2, aspect_ratio=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot of the stationary Killing vector $\\xi$:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 71 graphics primitives" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graph_xi = xi.plot(chart=XC, ambient_coords=(ch,tau), \n", " chart_domain=XC, fixed_coords={th: pi/2, ph: pi},\n", " number_values=11, color='red', scale=0.6, aspect_ratio=1)\n", "graph = graph_i0 + graph_ip + graph_im + graph_Ip + graph_Im + graph_xi\n", "#show(graph, figsize=8)\n", "graph.save('sta_conf_diag_Mink_xi.pdf')\n", "graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Null radial geodesics in the conformal diagram\n", "\n", "To get a view of the null radial geodesics in the conformal diagram, it suffices to plot the chart $(u,v,\\theta,\\phi)$ in terms of the chart $(\\tau,\\chi,\\theta,\\phi)$. \n", "The following plot shows \n", "- the null geodesics defined by $(u,\\theta,\\phi) = (u_0, \\pi/2,\\pi)$ for 17 values of $u_0$ evenly spaced in $[-8,8]$ (dashed lines) \n", "- the null geodesics defined by $(v,\\theta,\\phi) = (v_0, \\pi/2,\\pi)$ for 17 values of $v_0$ evenly spaced in $[-8,8]$ (solid lines)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 42 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graphXN = XN.plot(XC, ambient_coords=(ch, tau), fixed_coords={th: pi/2, ph: pi}, \n", " number_values=17, plot_points=150, color='green', \n", " style={u: '--', v: '-'}, thickness=1.5)\n", "graph = graphXN + graph_i0 + graph_ip + graph_im + graph_Ip + graph_Im\n", "show(graph, figsize=8)" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "graph.save('glo_conf_Mink_null.pdf', figsize=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conformal factor\n", "\n", "The conformal factor expressed in various coordinate systems:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{llcl} \\Omega:& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1}} \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1}} \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & 2 \\, \\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} - 2 \\, \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} \\\\ & \\left(t, {\\rho}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1}} \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{llcl} \\Omega:& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1}} \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1}} \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & 2 \\, \\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} - 2 \\, \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} \\\\ & \\left(t, {\\rho}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1}} \\end{array}$" ], "text/plain": [ "Omega: M → ℝ\n", " (t, r, th, ph) ↦ 2/(sqrt(r^2 + 2*r*t + t^2 + 1)*sqrt(r^2 - 2*r*t + t^2 + 1))\n", " (u, v, th, ph) ↦ 2/(sqrt(u^2 + 1)*sqrt(v^2 + 1))\n", " (U, V, th, ph) ↦ 2*cos(U)*cos(V)\n", " (tau, ch, th, ph) ↦ 2*cos(1/2*ch)^2*cos(1/2*tau)^2 - 2*sin(1/2*ch)^2*sin(1/2*tau)^2\n", " (t, rh, th, ph) ↦ 2/(sqrt(t^2 + 2*t*e^rh + e^(2*rh) + 1)*sqrt(t^2 - 2*t*e^rh + e^(2*rh) + 1))" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Omega.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expression in terms of $(\\tau,\\chi,\\theta,\\phi)$ can be simplified:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle 2 \\, \\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} - 2 \\, \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2}\\)" ], "text/latex": [ "$\\displaystyle 2 \\, \\cos\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2} - 2 \\, \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right)^{2} \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right)^{2}$" ], "text/plain": [ "2*cos(1/2*ch)^2*cos(1/2*tau)^2 - 2*sin(1/2*ch)^2*sin(1/2*tau)^2" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Omega_XC = Omega.expr(XC)\n", "Omega_XC" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\cos\\left({\\chi}\\right) + \\cos\\left({\\tau}\\right)\\)" ], "text/latex": [ "$\\displaystyle \\cos\\left({\\chi}\\right) + \\cos\\left({\\tau}\\right)$" ], "text/plain": [ "cos(ch) + cos(tau)" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Omega_XC.trig_reduce() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hence we set" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{llcl} \\Omega:& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1}} \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1}} \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\cos\\left({\\chi}\\right) + \\cos\\left({\\tau}\\right) \\\\ & \\left(t, {\\rho}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1}} \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{llcl} \\Omega:& M & \\longrightarrow & \\mathbb{R} \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1}} \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1}} \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & 2 \\, \\cos\\left(U\\right) \\cos\\left(V\\right) \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\cos\\left({\\chi}\\right) + \\cos\\left({\\tau}\\right) \\\\ & \\left(t, {\\rho}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\frac{2}{\\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1}} \\end{array}$" ], "text/plain": [ "Omega: M → ℝ\n", " (t, r, th, ph) ↦ 2/(sqrt(r^2 + 2*r*t + t^2 + 1)*sqrt(r^2 - 2*r*t + t^2 + 1))\n", " (u, v, th, ph) ↦ 2/(sqrt(u^2 + 1)*sqrt(v^2 + 1))\n", " (U, V, th, ph) ↦ 2*cos(U)*cos(V)\n", " (tau, ch, th, ph) ↦ cos(ch) + cos(tau)\n", " (t, rh, th, ph) ↦ 2/(sqrt(t^2 + 2*t*e^rh + e^(2*rh) + 1)*sqrt(t^2 - 2*t*e^rh + e^(2*rh) + 1))" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Omega.add_expr(Omega_XC.trig_reduce(), XC)\n", "Omega.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A plot of $\\Omega$ in terms of the coordinates $(\\tau,\\chi)$:" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = plot3d(Omega.expr(XC), (tau,-pi,pi), (ch,0,pi)) \\\n", " + plot3d(0, (tau,-pi,pi), (ch,0,pi), color='yellow', opacity=0.7)\n", "show(graph, aspect_ratio=1, axes_labels=['tau', 'chi', 'Omega'])" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(graph, aspect_ratio=1, viewer='tachyon')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Differential of the conformal factor\n", "\n", "The 1-form $\\mathrm{d}\\Omega$ is:" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1-form dOmega on the 4-dimensional Lorentzian manifold M\n" ] } ], "source": [ "dOmega = Omega.differential()\n", "print(dOmega)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\mathrm{d}\\Omega = \\left( -\\frac{4 \\, {\\left(t^{3} - {\\left(r^{2} - 1\\right)} t\\right)} \\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1}}{r^{8} + t^{8} - 4 \\, {\\left(r^{2} - 1\\right)} t^{6} + 4 \\, r^{6} + 2 \\, {\\left(3 \\, r^{4} - 2 \\, r^{2} + 3\\right)} t^{4} + 6 \\, r^{4} - 4 \\, {\\left(r^{6} + r^{4} - r^{2} - 1\\right)} t^{2} + 4 \\, r^{2} + 1} \\right) \\mathrm{d} t + \\left( -\\frac{4 \\, {\\left(r^{3} - r t^{2} + r\\right)} \\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1}}{r^{8} + t^{8} - 4 \\, {\\left(r^{2} - 1\\right)} t^{6} + 4 \\, r^{6} + 2 \\, {\\left(3 \\, r^{4} - 2 \\, r^{2} + 3\\right)} t^{4} + 6 \\, r^{4} - 4 \\, {\\left(r^{6} + r^{4} - r^{2} - 1\\right)} t^{2} + 4 \\, r^{2} + 1} \\right) \\mathrm{d} r\\)" ], "text/latex": [ "$\\displaystyle \\mathrm{d}\\Omega = \\left( -\\frac{4 \\, {\\left(t^{3} - {\\left(r^{2} - 1\\right)} t\\right)} \\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1}}{r^{8} + t^{8} - 4 \\, {\\left(r^{2} - 1\\right)} t^{6} + 4 \\, r^{6} + 2 \\, {\\left(3 \\, r^{4} - 2 \\, r^{2} + 3\\right)} t^{4} + 6 \\, r^{4} - 4 \\, {\\left(r^{6} + r^{4} - r^{2} - 1\\right)} t^{2} + 4 \\, r^{2} + 1} \\right) \\mathrm{d} t + \\left( -\\frac{4 \\, {\\left(r^{3} - r t^{2} + r\\right)} \\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1}}{r^{8} + t^{8} - 4 \\, {\\left(r^{2} - 1\\right)} t^{6} + 4 \\, r^{6} + 2 \\, {\\left(3 \\, r^{4} - 2 \\, r^{2} + 3\\right)} t^{4} + 6 \\, r^{4} - 4 \\, {\\left(r^{6} + r^{4} - r^{2} - 1\\right)} t^{2} + 4 \\, r^{2} + 1} \\right) \\mathrm{d} r$" ], "text/plain": [ "dOmega = -4*(t^3 - (r^2 - 1)*t)*sqrt(r^2 + 2*r*t + t^2 + 1)*sqrt(r^2 - 2*r*t + t^2 + 1)/(r^8 + t^8 - 4*(r^2 - 1)*t^6 + 4*r^6 + 2*(3*r^4 - 2*r^2 + 3)*t^4 + 6*r^4 - 4*(r^6 + r^4 - r^2 - 1)*t^2 + 4*r^2 + 1) dt - 4*(r^3 - r*t^2 + r)*sqrt(r^2 + 2*r*t + t^2 + 1)*sqrt(r^2 - 2*r*t + t^2 + 1)/(r^8 + t^8 - 4*(r^2 - 1)*t^6 + 4*r^6 + 2*(3*r^4 - 2*r^2 + 3)*t^4 + 6*r^4 - 4*(r^6 + r^4 - r^2 - 1)*t^2 + 4*r^2 + 1) dr" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dOmega.display()" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\mathrm{d}\\Omega = -2 \\, \\cos\\left(V\\right) \\sin\\left(U\\right) \\mathrm{d} U -2 \\, \\cos\\left(U\\right) \\sin\\left(V\\right) \\mathrm{d} V\\)" ], "text/latex": [ "$\\displaystyle \\mathrm{d}\\Omega = -2 \\, \\cos\\left(V\\right) \\sin\\left(U\\right) \\mathrm{d} U -2 \\, \\cos\\left(U\\right) \\sin\\left(V\\right) \\mathrm{d} V$" ], "text/plain": [ "dOmega = -2*cos(V)*sin(U) dU - 2*cos(U)*sin(V) dV" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dOmega.display(XNC)" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [], "source": [ "M.set_default_chart(XNC)\n", "M.set_default_frame(XNC.frame())" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\mathrm{d}\\Omega = -2 \\, \\cos\\left(V\\right) \\sin\\left(U\\right) \\mathrm{d} U -2 \\, \\cos\\left(U\\right) \\sin\\left(V\\right) \\mathrm{d} V\\)" ], "text/latex": [ "$\\displaystyle \\mathrm{d}\\Omega = -2 \\, \\cos\\left(V\\right) \\sin\\left(U\\right) \\mathrm{d} U -2 \\, \\cos\\left(U\\right) \\sin\\left(V\\right) \\mathrm{d} V$" ], "text/plain": [ "dOmega = -2*cos(V)*sin(U) dU - 2*cos(U)*sin(V) dV" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dOmega.display()" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle -2 \\, \\cos\\left(V\\right) \\sin\\left(U\\right) \\mathrm{d} U -2 \\, \\cos\\left(U\\right) \\sin\\left(V\\right) \\mathrm{d} V\\)" ], "text/latex": [ "$\\displaystyle -2 \\, \\cos\\left(V\\right) \\sin\\left(U\\right) \\mathrm{d} U -2 \\, \\cos\\left(U\\right) \\sin\\left(V\\right) \\mathrm{d} V$" ], "text/plain": [ "-2*cos(V)*sin(U) dU - 2*cos(U)*sin(V) dV" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dOmega1 = M.one_form()\n", "dOmega1[0] = -2*cos(V)*sin(U)\n", "dOmega1[1] = -2*cos(U)*sin(V)\n", "dOmega1.display()" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle -2 \\, \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right) \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right) \\mathrm{d} {\\tau} -2 \\, \\cos\\left(\\frac{1}{2} \\, {\\chi}\\right) \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right) \\mathrm{d} {\\chi}\\)" ], "text/latex": [ "$\\displaystyle -2 \\, \\cos\\left(\\frac{1}{2} \\, {\\tau}\\right) \\sin\\left(\\frac{1}{2} \\, {\\tau}\\right) \\mathrm{d} {\\tau} -2 \\, \\cos\\left(\\frac{1}{2} \\, {\\chi}\\right) \\sin\\left(\\frac{1}{2} \\, {\\chi}\\right) \\mathrm{d} {\\chi}$" ], "text/plain": [ "-2*cos(1/2*tau)*sin(1/2*tau) dtau - 2*cos(1/2*ch)*sin(1/2*ch) dch" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dOmega1.display(XC.frame(), XC)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Einstein static universe" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4-dimensional differentiable manifold E\n" ] } ], "source": [ "E = Manifold(4, 'E')\n", "print(E)" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(E,({\\tau}, {\\chi}, {\\theta}, {\\phi})\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(E,({\\tau}, {\\chi}, {\\theta}, {\\phi})\\right)$" ], "text/plain": [ "Chart (E, (tau, ch, th, ph))" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XE. = E.chart(r'tau:\\tau ch:(0,pi):\\chi th:(0,pi):\\theta ph:(0,2*pi):\\phi')\n", "XE" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle {\\tau} :\\ \\left( -\\infty, +\\infty \\right) ;\\quad {\\chi} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)\\)" ], "text/latex": [ "$\\displaystyle {\\tau} :\\ \\left( -\\infty, +\\infty \\right) ;\\quad {\\chi} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)$" ], "text/plain": [ "tau: (-oo, +oo); ch: (0, pi); th: (0, pi); ph: (0, 2*pi)" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XE.coord_range()" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle {\\tau} :\\ \\left( -\\pi , \\pi \\right) ;\\quad {\\chi} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)\\)" ], "text/latex": [ "$\\displaystyle {\\tau} :\\ \\left( -\\pi , \\pi \\right) ;\\quad {\\chi} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\theta} :\\ \\left( 0 , \\pi \\right) ;\\quad {\\phi} :\\ \\left( 0 , 2 \\, \\pi \\right)$" ], "text/plain": [ "tau: (-pi, pi); ch: (0, pi); th: (0, pi); ph: (0, 2*pi)" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XC.coord_range()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Embedding of $M$ in $E$" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Differentiable map Phi from the 4-dimensional Lorentzian manifold M to the 4-dimensional differentiable manifold E\n" ] }, { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{llcl} \\Phi:& M & \\longrightarrow & E \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) = \\left(\\arctan\\left(r + t\\right) + \\arctan\\left(-r + t\\right), \\arctan\\left(r + t\\right) - \\arctan\\left(-r + t\\right), {\\theta}, {\\phi}\\right) \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) = \\left(\\arctan\\left(u\\right) + \\arctan\\left(v\\right), -\\arctan\\left(u\\right) + \\arctan\\left(v\\right), {\\theta}, {\\phi}\\right) \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) = \\left(U + V, -U + V, {\\theta}, {\\phi}\\right) \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) = \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) \\\\ & \\left(t, {\\rho}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) = \\left(\\arctan\\left(t + e^{{\\rho}}\\right) + \\arctan\\left(t - e^{{\\rho}}\\right), \\arctan\\left(t + e^{{\\rho}}\\right) - \\arctan\\left(t - e^{{\\rho}}\\right), {\\theta}, {\\phi}\\right) \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{llcl} \\Phi:& M & \\longrightarrow & E \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) = \\left(\\arctan\\left(r + t\\right) + \\arctan\\left(-r + t\\right), \\arctan\\left(r + t\\right) - \\arctan\\left(-r + t\\right), {\\theta}, {\\phi}\\right) \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) = \\left(\\arctan\\left(u\\right) + \\arctan\\left(v\\right), -\\arctan\\left(u\\right) + \\arctan\\left(v\\right), {\\theta}, {\\phi}\\right) \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) = \\left(U + V, -U + V, {\\theta}, {\\phi}\\right) \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) = \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) \\\\ & \\left(t, {\\rho}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) = \\left(\\arctan\\left(t + e^{{\\rho}}\\right) + \\arctan\\left(t - e^{{\\rho}}\\right), \\arctan\\left(t + e^{{\\rho}}\\right) - \\arctan\\left(t - e^{{\\rho}}\\right), {\\theta}, {\\phi}\\right) \\end{array}$" ], "text/plain": [ "Phi: M → E\n", " (t, r, th, ph) ↦ (tau, ch, th, ph) = (arctan(r + t) + arctan(-r + t), arctan(r + t) - arctan(-r + t), th, ph)\n", " (u, v, th, ph) ↦ (tau, ch, th, ph) = (arctan(u) + arctan(v), -arctan(u) + arctan(v), th, ph)\n", " (U, V, th, ph) ↦ (tau, ch, th, ph) = (U + V, -U + V, th, ph)\n", " (tau, ch, th, ph) ↦ (tau, ch, th, ph) = (tau, ch, th, ph)\n", " (t, rh, th, ph) ↦ (tau, ch, th, ph) = (arctan(t + e^rh) + arctan(t - e^rh), arctan(t + e^rh) - arctan(t - e^rh), th, ph)" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi = M.diff_map(E, {(XC, XE): [tau, ch, th, ph]},\n", " name='Phi', latex_name=r'\\Phi')\n", "print(Phi)\n", "Phi.display()" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 18 graphics primitives" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XS.plot(XE, mapping=Phi, ambient_coords=(ch, tau), fixed_coords={th: pi/2, ph: pi}, \n", " plot_points=200, color={t: 'red', r: 'grey'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Embedding of $E$ in $\\mathbb{R}^5$" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5-dimensional differentiable manifold R^5\n" ] } ], "source": [ "R5 = Manifold(5, 'R^5', latex_name=r'\\mathbb{R}^5')\n", "print(R5)" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\\(\\displaystyle \\left(\\mathbb{R}^5,({\\tau}, W, X, Y, Z)\\right)\\)" ], "text/latex": [ "$\\displaystyle \\left(\\mathbb{R}^5,({\\tau}, W, X, Y, Z)\\right)$" ], "text/plain": [ "Chart (R^5, (tau, W, X, Y, Z))" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X5. = R5.chart(r'tau:\\tau W X Y Z')\n", "X5" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Differentiable map Psi from the 4-dimensional differentiable manifold E to the 5-dimensional differentiable manifold R^5\n" ] }, { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{llcl} \\Psi:& E & \\longrightarrow & \\mathbb{R}^5 \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left({\\tau}, \\cos\\left({\\chi}\\right), \\cos\\left({\\phi}\\right) \\sin\\left({\\chi}\\right) \\sin\\left({\\theta}\\right), \\sin\\left({\\chi}\\right) \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right), \\cos\\left({\\theta}\\right) \\sin\\left({\\chi}\\right)\\right) \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{llcl} \\Psi:& E & \\longrightarrow & \\mathbb{R}^5 \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left({\\tau}, \\cos\\left({\\chi}\\right), \\cos\\left({\\phi}\\right) \\sin\\left({\\chi}\\right) \\sin\\left({\\theta}\\right), \\sin\\left({\\chi}\\right) \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right), \\cos\\left({\\theta}\\right) \\sin\\left({\\chi}\\right)\\right) \\end{array}$" ], "text/plain": [ "Psi: E → R^5\n", " (tau, ch, th, ph) ↦ (tau, W, X, Y, Z) = (tau, cos(ch), cos(ph)*sin(ch)*sin(th), sin(ch)*sin(ph)*sin(th), cos(th)*sin(ch))" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Psi = E.diff_map(R5, {(XE, X5): [tau,\n", " cos(ch),\n", " sin(ch)*sin(th)*cos(ph), \n", " sin(ch)*sin(th)*sin(ph), \n", " sin(ch)*cos(th)]},\n", " name='Psi', latex_name=r'\\Psi')\n", "print(Psi)\n", "Psi.display()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Einstein cylinder:" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graphE = XE.plot(X5, ambient_coords=(W,X,tau), mapping=Psi, \n", " fixed_coords={th:pi/2, ph:0.001}, max_range=4, \n", " number_values=9, color='silver', thickness=0.5,\n", " label_axes=False) # phi = 0 \n", "graphE += XE.plot(X5, ambient_coords=(W,X,tau), mapping=Psi, \n", " fixed_coords={th:pi/2, ph:pi}, max_range=4, \n", " number_values=9, color='silver', thickness=0.5,\n", " label_axes=False) # phi = pi\n", "show(graphE, aspect_ratio=1, axes_labels=['W', 'X', 'tau'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Embedding of $M$ in $\\mathbb{R}^5$\n", "\n", "The embedding $\\Theta:\\, M\\rightarrow \\mathbb{R}^5$ is obtained by composition of the embeddings\n", "$\\Phi:\\, M\\rightarrow E$ and $\\Psi:\\, E\\rightarrow \\mathbb{R}^5$:" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Differentiable map from the 4-dimensional Lorentzian manifold M to the 5-dimensional differentiable manifold R^5\n" ] }, { "data": { "text/html": [ "\\(\\displaystyle \\begin{array}{llcl} & M & \\longrightarrow & \\mathbb{R}^5 \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left(\\arctan\\left(r + t\\right) + \\arctan\\left(-r + t\\right), -\\frac{\\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1} {\\left(r^{2} - t^{2} - 1\\right)}}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1}, \\frac{2 \\, \\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1} r \\cos\\left({\\phi}\\right) \\sin\\left({\\theta}\\right)}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1}, \\frac{2 \\, \\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1} r \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right)}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1}, \\frac{2 \\, \\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1} r \\cos\\left({\\theta}\\right)}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1}\\right) \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left(\\arctan\\left(u\\right) + \\arctan\\left(v\\right), \\frac{\\sqrt{u^{2} + 1} {\\left(u v + 1\\right)} \\sqrt{v^{2} + 1}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1}, -\\frac{{\\left(u \\cos\\left({\\phi}\\right) \\sin\\left({\\theta}\\right) - v \\cos\\left({\\phi}\\right) \\sin\\left({\\theta}\\right)\\right)} \\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1}, -\\frac{{\\left(u \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right) - v \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right)\\right)} \\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1}, -\\frac{\\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1} {\\left(u \\cos\\left({\\theta}\\right) - v \\cos\\left({\\theta}\\right)\\right)}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1}\\right) \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left(U + V, \\cos\\left(U\\right) \\cos\\left(V\\right) + \\sin\\left(U\\right) \\sin\\left(V\\right), -{\\left(\\cos\\left(V\\right) \\sin\\left(U\\right) - \\cos\\left(U\\right) \\sin\\left(V\\right)\\right)} \\cos\\left({\\phi}\\right) \\sin\\left({\\theta}\\right), -{\\left(\\cos\\left(V\\right) \\sin\\left(U\\right) - \\cos\\left(U\\right) \\sin\\left(V\\right)\\right)} \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right), -{\\left(\\cos\\left(V\\right) \\sin\\left(U\\right) - \\cos\\left(U\\right) \\sin\\left(V\\right)\\right)} \\cos\\left({\\theta}\\right)\\right) \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left({\\tau}, \\cos\\left({\\chi}\\right), \\cos\\left({\\phi}\\right) \\sin\\left({\\chi}\\right) \\sin\\left({\\theta}\\right), \\sin\\left({\\chi}\\right) \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right), \\cos\\left({\\theta}\\right) \\sin\\left({\\chi}\\right)\\right) \\\\ & \\left(t, {\\rho}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left(\\arctan\\left(t + e^{{\\rho}}\\right) + \\arctan\\left(t - e^{{\\rho}}\\right), \\frac{\\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} {\\left(t^{2} - e^{\\left(2 \\, {\\rho}\\right)} + 1\\right)}}{t^{4} - 2 \\, t^{2} {\\left(e^{\\left(2 \\, {\\rho}\\right)} - 1\\right)} + e^{\\left(4 \\, {\\rho}\\right)} + 2 \\, e^{\\left(2 \\, {\\rho}\\right)} + 1}, \\frac{2 \\, \\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\cos\\left({\\phi}\\right) e^{{\\rho}} \\sin\\left({\\theta}\\right)}{t^{4} - 2 \\, t^{2} {\\left(e^{\\left(2 \\, {\\rho}\\right)} - 1\\right)} + e^{\\left(4 \\, {\\rho}\\right)} + 2 \\, e^{\\left(2 \\, {\\rho}\\right)} + 1}, \\frac{2 \\, \\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} e^{{\\rho}} \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right)}{t^{4} - 2 \\, t^{2} {\\left(e^{\\left(2 \\, {\\rho}\\right)} - 1\\right)} + e^{\\left(4 \\, {\\rho}\\right)} + 2 \\, e^{\\left(2 \\, {\\rho}\\right)} + 1}, \\frac{2 \\, \\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\cos\\left({\\theta}\\right) e^{{\\rho}}}{t^{4} - 2 \\, t^{2} {\\left(e^{\\left(2 \\, {\\rho}\\right)} - 1\\right)} + e^{\\left(4 \\, {\\rho}\\right)} + 2 \\, e^{\\left(2 \\, {\\rho}\\right)} + 1}\\right) \\end{array}\\)" ], "text/latex": [ "$\\displaystyle \\begin{array}{llcl} & M & \\longrightarrow & \\mathbb{R}^5 \\\\ & \\left(t, r, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left(\\arctan\\left(r + t\\right) + \\arctan\\left(-r + t\\right), -\\frac{\\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1} {\\left(r^{2} - t^{2} - 1\\right)}}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1}, \\frac{2 \\, \\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1} r \\cos\\left({\\phi}\\right) \\sin\\left({\\theta}\\right)}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1}, \\frac{2 \\, \\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1} r \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right)}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1}, \\frac{2 \\, \\sqrt{r^{2} + 2 \\, r t + t^{2} + 1} \\sqrt{r^{2} - 2 \\, r t + t^{2} + 1} r \\cos\\left({\\theta}\\right)}{r^{4} + t^{4} - 2 \\, {\\left(r^{2} - 1\\right)} t^{2} + 2 \\, r^{2} + 1}\\right) \\\\ & \\left(u, v, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left(\\arctan\\left(u\\right) + \\arctan\\left(v\\right), \\frac{\\sqrt{u^{2} + 1} {\\left(u v + 1\\right)} \\sqrt{v^{2} + 1}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1}, -\\frac{{\\left(u \\cos\\left({\\phi}\\right) \\sin\\left({\\theta}\\right) - v \\cos\\left({\\phi}\\right) \\sin\\left({\\theta}\\right)\\right)} \\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1}, -\\frac{{\\left(u \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right) - v \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right)\\right)} \\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1}, -\\frac{\\sqrt{u^{2} + 1} \\sqrt{v^{2} + 1} {\\left(u \\cos\\left({\\theta}\\right) - v \\cos\\left({\\theta}\\right)\\right)}}{{\\left(u^{2} + 1\\right)} v^{2} + u^{2} + 1}\\right) \\\\ & \\left(U, V, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left(U + V, \\cos\\left(U\\right) \\cos\\left(V\\right) + \\sin\\left(U\\right) \\sin\\left(V\\right), -{\\left(\\cos\\left(V\\right) \\sin\\left(U\\right) - \\cos\\left(U\\right) \\sin\\left(V\\right)\\right)} \\cos\\left({\\phi}\\right) \\sin\\left({\\theta}\\right), -{\\left(\\cos\\left(V\\right) \\sin\\left(U\\right) - \\cos\\left(U\\right) \\sin\\left(V\\right)\\right)} \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right), -{\\left(\\cos\\left(V\\right) \\sin\\left(U\\right) - \\cos\\left(U\\right) \\sin\\left(V\\right)\\right)} \\cos\\left({\\theta}\\right)\\right) \\\\ & \\left({\\tau}, {\\chi}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left({\\tau}, \\cos\\left({\\chi}\\right), \\cos\\left({\\phi}\\right) \\sin\\left({\\chi}\\right) \\sin\\left({\\theta}\\right), \\sin\\left({\\chi}\\right) \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right), \\cos\\left({\\theta}\\right) \\sin\\left({\\chi}\\right)\\right) \\\\ & \\left(t, {\\rho}, {\\theta}, {\\phi}\\right) & \\longmapsto & \\left({\\tau}, W, X, Y, Z\\right) = \\left(\\arctan\\left(t + e^{{\\rho}}\\right) + \\arctan\\left(t - e^{{\\rho}}\\right), \\frac{\\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} {\\left(t^{2} - e^{\\left(2 \\, {\\rho}\\right)} + 1\\right)}}{t^{4} - 2 \\, t^{2} {\\left(e^{\\left(2 \\, {\\rho}\\right)} - 1\\right)} + e^{\\left(4 \\, {\\rho}\\right)} + 2 \\, e^{\\left(2 \\, {\\rho}\\right)} + 1}, \\frac{2 \\, \\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\cos\\left({\\phi}\\right) e^{{\\rho}} \\sin\\left({\\theta}\\right)}{t^{4} - 2 \\, t^{2} {\\left(e^{\\left(2 \\, {\\rho}\\right)} - 1\\right)} + e^{\\left(4 \\, {\\rho}\\right)} + 2 \\, e^{\\left(2 \\, {\\rho}\\right)} + 1}, \\frac{2 \\, \\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} e^{{\\rho}} \\sin\\left({\\phi}\\right) \\sin\\left({\\theta}\\right)}{t^{4} - 2 \\, t^{2} {\\left(e^{\\left(2 \\, {\\rho}\\right)} - 1\\right)} + e^{\\left(4 \\, {\\rho}\\right)} + 2 \\, e^{\\left(2 \\, {\\rho}\\right)} + 1}, \\frac{2 \\, \\sqrt{t^{2} + 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\sqrt{t^{2} - 2 \\, t e^{{\\rho}} + e^{\\left(2 \\, {\\rho}\\right)} + 1} \\cos\\left({\\theta}\\right) e^{{\\rho}}}{t^{4} - 2 \\, t^{2} {\\left(e^{\\left(2 \\, {\\rho}\\right)} - 1\\right)} + e^{\\left(4 \\, {\\rho}\\right)} + 2 \\, e^{\\left(2 \\, {\\rho}\\right)} + 1}\\right) \\end{array}$" ], "text/plain": [ "M → R^5\n", " (t, r, th, ph) ↦ (tau, W, X, Y, Z) = (arctan(r + t) + arctan(-r + t), -sqrt(r^2 + 2*r*t + t^2 + 1)*sqrt(r^2 - 2*r*t + t^2 + 1)*(r^2 - t^2 - 1)/(r^4 + t^4 - 2*(r^2 - 1)*t^2 + 2*r^2 + 1), 2*sqrt(r^2 + 2*r*t + t^2 + 1)*sqrt(r^2 - 2*r*t + t^2 + 1)*r*cos(ph)*sin(th)/(r^4 + t^4 - 2*(r^2 - 1)*t^2 + 2*r^2 + 1), 2*sqrt(r^2 + 2*r*t + t^2 + 1)*sqrt(r^2 - 2*r*t + t^2 + 1)*r*sin(ph)*sin(th)/(r^4 + t^4 - 2*(r^2 - 1)*t^2 + 2*r^2 + 1), 2*sqrt(r^2 + 2*r*t + t^2 + 1)*sqrt(r^2 - 2*r*t + t^2 + 1)*r*cos(th)/(r^4 + t^4 - 2*(r^2 - 1)*t^2 + 2*r^2 + 1))\n", " (u, v, th, ph) ↦ (tau, W, X, Y, Z) = (arctan(u) + arctan(v), sqrt(u^2 + 1)*(u*v + 1)*sqrt(v^2 + 1)/((u^2 + 1)*v^2 + u^2 + 1), -(u*cos(ph)*sin(th) - v*cos(ph)*sin(th))*sqrt(u^2 + 1)*sqrt(v^2 + 1)/((u^2 + 1)*v^2 + u^2 + 1), -(u*sin(ph)*sin(th) - v*sin(ph)*sin(th))*sqrt(u^2 + 1)*sqrt(v^2 + 1)/((u^2 + 1)*v^2 + u^2 + 1), -sqrt(u^2 + 1)*sqrt(v^2 + 1)*(u*cos(th) - v*cos(th))/((u^2 + 1)*v^2 + u^2 + 1))\n", " (U, V, th, ph) ↦ (tau, W, X, Y, Z) = (U + V, cos(U)*cos(V) + sin(U)*sin(V), -(cos(V)*sin(U) - cos(U)*sin(V))*cos(ph)*sin(th), -(cos(V)*sin(U) - cos(U)*sin(V))*sin(ph)*sin(th), -(cos(V)*sin(U) - cos(U)*sin(V))*cos(th))\n", " (tau, ch, th, ph) ↦ (tau, W, X, Y, Z) = (tau, cos(ch), cos(ph)*sin(ch)*sin(th), sin(ch)*sin(ph)*sin(th), cos(th)*sin(ch))\n", " (t, rh, th, ph) ↦ (tau, W, X, Y, Z) = (arctan(t + e^rh) + arctan(t - e^rh), sqrt(t^2 + 2*t*e^rh + e^(2*rh) + 1)*sqrt(t^2 - 2*t*e^rh + e^(2*rh) + 1)*(t^2 - e^(2*rh) + 1)/(t^4 - 2*t^2*(e^(2*rh) - 1) + e^(4*rh) + 2*e^(2*rh) + 1), 2*sqrt(t^2 + 2*t*e^rh + e^(2*rh) + 1)*sqrt(t^2 - 2*t*e^rh + e^(2*rh) + 1)*cos(ph)*e^rh*sin(th)/(t^4 - 2*t^2*(e^(2*rh) - 1) + e^(4*rh) + 2*e^(2*rh) + 1), 2*sqrt(t^2 + 2*t*e^rh + e^(2*rh) + 1)*sqrt(t^2 - 2*t*e^rh + e^(2*rh) + 1)*e^rh*sin(ph)*sin(th)/(t^4 - 2*t^2*(e^(2*rh) - 1) + e^(4*rh) + 2*e^(2*rh) + 1), 2*sqrt(t^2 + 2*t*e^rh + e^(2*rh) + 1)*sqrt(t^2 - 2*t*e^rh + e^(2*rh) + 1)*cos(th)*e^rh/(t^4 - 2*t^2*(e^(2*rh) - 1) + e^(4*rh) + 2*e^(2*rh) + 1))" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Theta = Psi * Phi\n", "print(Theta)\n", "Theta.display()" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graphM = XS.plot(X5, ambient_coords=(W,X,tau), mapping=Theta, \n", " fixed_coords={th:pi/2, ph:0.001}, max_range=30, \n", " number_values=51, plot_points=250, color={t:'red', r:'black'}, \n", " label_axes=False) # phi = 0 \n", "graphM += XS.plot(X5, ambient_coords=(W,X,tau), mapping=Theta, \n", " fixed_coords={th:pi/2, ph:pi}, max_range=30, \n", " number_values=51, plot_points=250, color={t:'red', r:'black'}, \n", " label_axes=False) # phi = pi\n", "show(graphE + graphM, aspect_ratio=1, axes_labels=['W', 'X', 'tau'])" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "image/png": 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14pJLLslkMi0tLc3NzU1NTY2Njel0OpVKpdPpI2+kUqlUKpUkSaVSCb/8sBvh23K5XCqVwrdVxWKxWCyOj4+Pj4/39/e/+uqrNXrGAABQX1LVf7UDAABJklx00UXz5s1ra2sLcbylpaWpqam5ublxgoaGhpDLJ5pYzCdG89DNJ9448rsTVT9y5A8F1X/DH0+RDzeOqlwuh2+rQq8vl8vFYrHa7sfHxwuFQqFQGB0dHR0dHRoa6u/v3759e6wXHAAAzhiCOwAAZ7KLLrpowYIFHR0dEwN69YB5SOdBOp0O34ZW3tDQMHkZr353Yt2ufntY7E6OVr1TqdRRf231J3/SI078yGFB/8imf5jDntFhP/+TXsajxvpqr594rL56sj40+rGxsZGRkaGhoYMHD+7cufONN9448d9DAAA4bQjuAACclq688spZs2bl8/m2trbW1tbW1taQ0UNJb2pqqmb0iUtako+zcjqdPmwxy8SOXE3JnZ2d+/btO+qqlolleXR0dHh4uK+v78UXX6zty3ISbrjhhvb29onH+avvRlTP8h/2zsRhh/oPC/pV1Vf4sBP0E1/J6tn54eHhwcHBQ4cO7d2796WXXqrRiwEAAKdEcAcAYCZasWJFd3d3Pp/PZrOtra2HHUtvamqa2Hwndt7q2fAjI2+o5KHwjo+Pj42NhQUpBw4c2Lx585EzPP/8893d3a+88sqDDz44jU/9tHT99deH9z8WLlzY3d397rvvNn2sWu0nxvrDAv1h73ZM3GZT/Z0aGRkJRX7fvn3PPfdcbZ8vAAAclYumAgBQG9dcc83EI+oTk3pzc/MVV1xRLbPVX1JtskmShCXjRz0lvW/fvqMG9BMVzqak0+lTv6szXvUFD7vd33zzzXXr1k3y82+77bbwhkomk5n4ux++NCH8GTjs3ZRqlC+VSj//+c/DGfnDfusPHjz44Ycfbt26daqfLwAAHJXgDgDAFFq+fPns2bPb29urK9SrXfUv//IvD0vqEzeDFwqFakwPp5vDUfR//Md/nLbhQ3CfZLM5RwovV3hTZBKPPfbY8dzb3/3d33V1deVyueq7MtUon8lkqn9+Jm6WL5VK//Zv/1Y9Gj82NhZa/IEDB/bu3avFAwAwpQR3AAAiCBtFQlgPG9XDWfXLL788VNEkSUIYrR5RD3tdQhWt9vSHH3641k/l/4TVNE64n5Dwu1wqlaLc20MPPTTJj1522WUXXnhhV1dXW1tb+IM38YskJh6QL5VKocXv2LFj4rs41R01mzZtijIwAAB1TnAHAOAELFmyZN68eZ2dnblcrroJpLGx8eKLL66G9SRJwgr1UqkUqnrom0NDQ/39/e+///6WLVtq+iSOl5UyJ6EauKfhsXbs2DHJj956661nnXVWR0fHxDeBmpqaWltbq19XEd4BKhaLO3bsKBQK1bX+AwMD+/fvf++99/7lX/5lGp4IAABnDMEdAICjW7p0aeiVuVwubINpamq6/PLLw6UvGxoako97ZalUGhsbC71yeHg4xMrj3Bkyk1kpcxLinnA/FY8//vgn/dAdd9wRNh2FS/KGEJ/L5To6OsJPqIb4l156KXwFxvDwcH9///79+3fu3PnCCy9M15MAAOA0I7gDAJAkSXLLLbf09PTk8/lsNhvOrV966aWhrU9cBVMsFkdGRkZHRwuFQgjr69evr/XsU8UJ95M2E4L7JB544IGjfvw73/nOxBDf3Nzc2tqayWS6u7uTJAlvJBSLxRdffLG6B+nQoUMffvjhdF5aAACAmUxwBwCoO1dcccU555zT3d1dvZBpU1PTH//xHzc0NFSvP1kqlUqlUmjr4Wzv+++//9RTT9V69mkVdrg74X5CwstVLBZrPcjJ+N73vnfkB7/xjW+ce+654dqtmUymubk5k8nkcrnq8pxSqfTSSy8VCoVqgv/oo49+9atf/eu//uu0PwMAAGpMcAcAOMNdfPHFn/70p7u7u6ubYS677LJwdL2xsbG6OmN0dDQshDl06NDevXuffPLJWg9ee064n4SZs1Imlo0bNx75wdtvv33evHkdHR3Vs/D5fD5spAlP/0/+5E+2b98+Ojo6MDAQTsH/93//92uvvTbt4wMAMK0EdwCAM82NN95YXYuRyWS+9rWvTdwME3ZijI6O9vb2vvXWWwcOHHjwwQdrPfIMZYf7STitT7gfv4cffvjID65evTrsZQoH4XO5XC6Xmz17drjOwZe+9KUf/ehHIyMjg4ODBw4c2LNnz6ZNm6Z/cgAAppTgDgBwevvyl7+8cOHC6gH25ubmP/qjPwpXNE2SJJVKFYvF4eHh0dHRwcHBvr6+devWJUnyyiuvDA0N3XXXXTWdfaYT3E9CeF9nfHy81oPUwMqVK4/8SHj3K3xxSWtra1dXV5Ik4ctKtm/fHrbQHDx48IMPPnj00UdrMTUAADEJ7gAAp5lLLrnkggsuCBulW1tblyxZ0tjYGA6wh4O0hUJhdHR0aGjowIEDb7/99o4dO468k0qlYlPKMVkpc9LqM7gfafXq1RO/u2LFikWLFp1//vmlUiksoslms7NmzTrnnHOKxeILL7wQ/svt7+/ft2/fW2+9ddT/eAEAmMkEdwCAme7LX/7yokWLqtdsrG5gT5KkXC4nSTIyMjIyMjIwMLBv377HHnvseO4zXA50auc+/YWX1wt1QsIJ97GxsVoPMhM9++yzSZJs3769p6fn1Vdf/f73v//tb397/vz5YRd8OALf3d0dVj998YtffPbZZ6vn3x955JFajw8AwLEJ7gAAM9FNN900e/bssAx68eLF4Qx78vEmiuHh4eHh4f7+/l27dm3duvUk7r9cLqfT6T/90z99/fXXY89+5rBS5iSEl0twn0RDQ0OlUikUCkmSHHYFhW9+85vnnHNOV1dXW1tbU1NTR0dHV1fX/PnzFy5cuG3btrAYKux//+EPf1ij8QEAmIzgDgAwIyxevPicc87p7Oxsa2traWn5whe+UN0SUywWx8fHQ2HfvXv3li1bTv3hwgn39vb2U7+rM1h4layUOVGVSuWNN96o9RQzVzqdrlQqo6OjR/7Q+vXrJ3731ltvPf/887u6usL592w229PTc/bZZy9atOi5554bHh4+dOjQvn373nzzTctnAABmCMEdAKBmrr322jlz5oQLKv7Zn/1ZY2NjWMcR9rCHLTF79+598sknoz90uVxuaGjIZrPR7/lMYqXMSQh/hms9xYw2SXA/zOOPPz7xu3fccUfYP9PS0pLJZHK5XG9v7/nnn/+5z31u8+bNAwMDfX19u3bteuqpp6ZsdgAAjkFwBwCYVjfffPOsWbPy+Xxra+sXv/jFhoaGJEnK5XKlUhkcHAxXOl23bt1Uj1EulxsbG1tbW6f6gU5rVsqcBMH9mEJwHxoaOtFf+MADD0z87urVq8PiqZaWls7Ozq6urnD4fcuWLWHzzG9+85uNGzfGGxwAgGMT3AEAplyI7Llcrq2t7fd///er29jHx8cHBwf7+/vff//9zZs3T+dIlUolnU4L7pMT3E+O4D65ENwPHDhwivezcuXK6u1vfetbCxYs6OzsbG5uzuVy7e3tZ5111mc+85lnnnmmuvb9sPPyAABMBcEdAGBK3HDDDeHwaWtr6+/+7u+GyJ5KpcKumEOHDu3cuXPbtm21Gq9UKqVSqebm5loNcFqwUuYkeLmOKVyb4Ze//GXE+/zBD35QvX3ttddeeOGF3d3d2Wy2ra0tn8/PnTv3M5/5zObNm0N837Vr1xNPPBHx0QEAqBLcAQCiufrqq+fOndvZ2ZnJZD772c9WT7IXCoXh4eGDBw8+/PDDtZ7x/xdSsuA+ufAquWjqiXLCfXLpdLpUKk3d/T/zzDPV20uWLPn85z/f09PT1taWzWZzudycOXMuuOCCp556amBg4KOPPnr33Xf/+Z//eeqGAQCoN4I7AMApueiiiy688MLOzs5sNvu5z32uoaEhlUqlUqnx8fFwkv3tt9/esWNHrcc8XDjh3tTUVOtBZjQrZU6CHe7HFE64T89jbd++feJ3165d29PTk81m8/l8WDuzaNGiTZs2HTx48IMPPviP//iPN954Y3oGAwA4UwnuAAAnI2yMyeVyX/nKV5qamkJkHB8fHxoa6u/v37Nnz49//ONazzgZwf14WCnDVJjO4H6YO++8M9y49dZbL7jggvDlOF1dXe3t7fPnz7/wwgvXr1/f19f33nvvPf300zWZEADgdCe4AwCcgFtvvTUcZl+0aFHYx1IsFkdGRgYHB/ft23carUUOwb2x0b8GJyO4nwQn3I+phsG9auIFVO+444558+a1t7e3trZms9nZs2eff/75GzZs6O/vd+wdAOBE+RQLAOAYlixZUq1R5513Xohl4+PjYS37I488UusBT0ZYIS24T05wPzmC++RmQnCf6IEHHqjevv/++2fNmpXNZjs7Ozs7O+fOnbtw4cKHHnroo48+euutt37yk5/UcE4AgNOCT7EAAI7ummuu6e3tbWtr+/znPx/CdKlUGh0dHRwc/OCDD7Zs2VLrAU9JsVhMBPdjEdyZIjMquE909913hxvf/va3FyxY0NbWlslk2traent7L7jggkcffbSvr+9///d/J16XFQCAiXyKBQDw/7juuutmzZrV1ta2aNGihoaGcFZ3cHCwv7//nXfe+dnPflbrAeMoFotWyhyT4H4SrJQ5plQqFb7EZCZ78MEHw42vfvWrf/AHf9DV1RUWzvT09Jx77rn/9E//tH///l27dj355JO1nRMAYKbxKRYAQJIkyQ033NDT09PW1vZbv/Vb6XS6UqkUi8XBwcEDBw5s2LCh1tPFNz4+niRJQ0NDrQeZ0QT3kyO4T+K2225bvHjxjD3hfqSJa2S++93vhoUz7e3t+Xx+/vz54SKru3bteuqpp2o4JADAzCG4AwB1bcWKFeE8+6c+9anm5uZKpTI+Pj4yMtLX17dx48ZaTzeFCoVCIrgfSziGLLifECfcJ5fP55OP/2iddu69995w46677po7d24ul+vs7Ozo6FiwYMGjjz564MCB99577+mnn67tkAAAtSW4AwD16KqrrpozZ05bW9unP/3pcJ49XAR1//79TzzxRK2nmw5jY2OJ4H4sTrifHMF9EplMJjltg3vVmjVrwo2777577ty5bW1tXV1dnZ2dZ5111rp16/bv3//OO+9s27attkMCANSE4A4A1JHLL798wYIFHR0d1f3sxWJxYGBg7969W7durfV002p0dDQR3I/FCXeia2lpSU7/4F51//33hxv33HPPnDlzWltbQ3lfsGDBAw888OGHH/7Xf/3XK6+8UtshAQCmk+AOANSFm266qbOz8/d+7/caGxsrlUqlUgn72S+99NKGhoYz5lKox29wcDAR3I9FcD8JVspMrrm5OUmSYrFY60Ei+4d/+IdwY+XKlbNnz85ms7Nnz+7u7v7Upz61Zs2acrl8zz331HZCAIDpIbgDAGeyZcuWzZ49u62tbf78+alUqlQqDQ8PDw0NPfbYY+En/OxnP2tsbAxLHurKww8//PrrrwvukwtVVHA/UYL7JJqampIz6IT7kVavXh1urFmzpqurK5vNtrW1jY6OPvTQQ319fb/+9a9//OMf13ZCAIApJbgDAGemr3/96/l8/oILLgirYwqFwtDQ0O7du1988cWJP61UKqXT6ToM7kmSVCqVdDpd6ylmNMH95AjukwjB/cw74X6ku+66K0mSb3zjG1/60pdGRkba29vz+fzcuXPXrFmzd+/e9evX13pAAIApIbgDAGeUpUuXVrcZJElSqVQGBgb6+vo2b9581J9fLBZTqVTYqlyHBPfJ1UMVnQqC+yQaGxuTevqjtXHjxm3bti1atOiXv/zlnDlzstlsJpPp7u5et25dOPD+ox/9qNYzAgDEJLgDAGeIG2+8saOj47zzzmtoaCiXy2NjYwMDAxs3bpz8V4XgHrYq1xsn3I+pUCgkTrifIDvcJxcuIzE+Pl7rQabPb37zm97e3oULF1533XVJkqxdu7ajoyOfz2cymVmzZq1evXrPnj0bNmyo9ZgAAHEI7gDA6e2SSy45++yzs9ns3LlzU6lUsVgXfs+CAAAgAElEQVQcHBzcv3//1q1bj+eXj4+P121wT1w09VhGR0cTwf3ECe6TCP/R1VVwb21tTSY85TvvvDNJkr//+7/v7e3NZDK9vb1dXV1r167dt2/ff/7nf77xxhu1nBUA4JQJ7gDA6WrJkiWzZ8/+7d/+7bClfXx8fHBwcOfOnT//+c+P/04KhUIqlQpbletNpVKRkie3ZcuW119/3at0ogT3SVT/vqr1INMnvKN52FP+/ve/nyTJ0qVLP/vZz+bz+a6urvb29nnz5t15552//vWvn3/++drMCgBwygR3AOD0c80113R1dZ177rlhe8zo6OihQ4e2bNlyEnc1NjaWfHwZw3pjpcxxEtxPlOA+ieplnGs9yPQJwf2oT3nbtm3hxn333dfd3Z3L5VpaWrq7u++5556dO3ce5xcqAQDMKII7AHA6ufbaa9vb22fPnt3c3FwqlQYHB/v6+k7lmnthZ4jgzifxdQAnQXCfRB0G96ampmM+5VWrViVJ8q1vfWvOnDmZTCaTyXR1da1cuXL37t1PPfXUdE0KABCB4A4AnB6uu+66fD7f09MTFrX39/fv3bv3Jz/5ySne7eDgYJIkjY31+I8iwZ3olixZcssttwjuk0in05VKJbzVVyfCdWLDlxNN7gc/+EGSJLfccst5552XzWZ7e3s7OztXrVq1e/fuTZs2Tf2kAAAR1OPnlgDA6aWa2pMkKRaLQ0NDTz75ZKw77+vrS+o1uJfL5VQqddFFF7lK4eSccD9+HR0diRPukwrBfWRkpNaDTJ8Q3I//PYYNGzYkSbJ8+fLf+Z3fyeVynZ2d2Wx25cqVe/bsifiXPwDAFKnHzy0BgNPFihUrqql9fHx8aGgo+m6B9evXv/baaw0NDXHv9rQQTrhns9laDzLTCe7Hr6WlJRHcJxWC+9DQUK0HmT5hi86Jvsfw3HPPhRurVq0K/yPI5/P33nvvnj17LJkBAGYywR0AmImWL1+ez+e7urqSJBkeHi4UClNXWCqVSn0G93K53NDQ0NbWVutBZjrB/fiFyyGUy+VaDzJzheB+4MCBWg8yTb7+9a9feuml5XI57O86Cffdd1+SJKtXr87n87NmzWpvb7/nnnt27dr1zDPPRJ0UACAOwR0AmFmWLl3a2dnZ3d0ddrUPDQ1t2bJlSh+xnoN7Y2NjJpOp9SCcOUJwd8J9Eul0ulwuv/rqq7UeZJr09PSEp3zo0KFTuZ+VK1cmSfLd7343l8t1dXVls9k77rjj3XfffeGFFyJNCgAQh+AOAMwUV1xxRU9PT29vbyqVKpVKw8PDO3fufO2116b6ces5uKdSqdbW1loPMqNVKhUn3I9fuByC4D6JVCpVV69PLpdLp9OlUunDDz889Xu79957kyRZtWpVW1tbb29vPp+//fbb/+d//ufll18+9TsHAIgiXesBAACSJEmuv/76uXPntrS0FAqFoaGh99577+mnn56G2p4kSblcTqfTX/nKV6bhsWaUENybm5trPchMJ7gfP8H9mFKpVF2t3MlkMuGEe8SLM993331vv/322NhYNpudN2/eH/7hH952222x7hwA4BQ54Q4A1NjVV1+dy+Wy2Wy5XB4ZGenr6/vpT386nQOE4B72xdcVwf04Ce7HL3yxiOA+iVCfaz3F9GlpaQkn3OPe7aZNm5Ik+du//dtwzr2pqek73/nO7t27t27dGveBAABOlOAOANTM4sWLOzs7Ozs7kyQpFAoDAwPbtm2b/jFCcK/Da4eWSiXBnbhCcK+roHyi6u2Ee0tLS9gSNhV3vm7duiRJ7rrrrrDYPZPJ/M3f/M2bb775i1/8YioeDgDgeAjuAEBtrFixoqenp7qu/dlnn63VJKVSqbGxMZvN1mqAWgnBPVzlkkk44X780ul04oT7sdRVcG9qapq64B6sWbMmSZL77rsvm83OmTMnl8vdfPPNTzzxxNQ9IgDAJOxwBwCm25VXXnnjjTdmMplKpTIyMvL+++/XsLYnSVIqldLpdCaTqeEMNRESWFi6zSdx0dQT4oT7MdXbCfcQ3IvF4lQ/0KpVq3bv3l0ul/P5/Pz582+//fbLL798qh8UAOBIPr8CAKbVihUruru7U6nU+Pj40NDQ888/X+uJkmKxmEqlWlpaaj3IdHPCneiccD+mqT7uPdOEt/SmIbgnSbJ+/fokSe6+++5MJtPT09Pa2nrDDTc8/fTT0/DQAABVTrgDANPkq1/96vXXX9/U1FQ92D4TantSx8E9JDAn3I/JCffj56Kpk7vpppuSOvsKgN27dyfTFdyD+++//5133ikWi7lc7uyzz/7mN7958cUXT9ujAwD4/AoAmA7Lli3r7OwMB9tHR0e3b99e64n+z/j4eH1eOzQ88VBI+STa8QkJJ9zrKiifkI6Ojno74d7a2pokyfj4+HQ+6ObNm5MkufPOO3O53OzZs1taWpYvX/7cc89N5wwAQN1ywh0AmHIrVqwIG9JHR0c//PDDGVXbk49LUB1uVglP3An3Y3LC/fhZKTO5cHHmugru4b3MaQ7uwdq1a3fv3l2pVMJR95tvvnn6ZwAA6pDPrwCAKbR48eJcLtfc3FwsFoeHh2daag/Gxsbqc5V5SGBOuB+T4H78nHCfXDjuXVfBPawRKxQKNXn0xx9/PEmSO++8s7W1dc6cOX/1V3/1q1/96uWXX67JMABAnXDCHQCYKkuXLs3n80mSDA0NHTx4cGbW9iRJRkZGkro84T42NpYI7kQluE8uXCtiOhea11wI7uFvm1pZu3btoUOHGhsbe3p6LrzwwiVLltRwGADgjCe4AwBTYtmyZa2treVyeXR09IMPPvjpT39a64k+0dDQUFKXm1XCOw2C++QqlYoT7scvlUpVKhUrZT5JeGOvrk64NzY2ViqV0dHR2o6xbt26999/P0mSbDZ79tlnL1++vLbzAABnMMEdAIjv6quvbm5uLpfLIyMjzz///Ouvv17riSbT19eX1GVwHxwcTAR3onLCfXIhuNfVCfeGhoaZENyTJNm4ceOqVauKxWI2mz3rrLOuu+66Wk8EAJyZBHcAILLly5en0+nR0dHBwcEvfOELtR7n2B599NFKpVKH3fmRRx5JBPdjccL9hAjukwv7VeowuIcvJJoJvve9742NjbW2tvb29t500021HgcAOAMJ7gBATMuXL0+lUoVCob+//7bbbgsLi2e+SqVShyfckySpVCqhkEIU4c0Jwf2ThL9nwvWK68Ff//VfNzQ0lMvlgYGBWs/yfx544IHh4eGWlpauri7NHQCIzudXAEA0E2t72A/e3Nxc66GOS32ecA8E92Nywv34OeE+ufD3TP0E946OjnQ6XS6X9+3bV+tZ/h8PPfTQwMBAQ0NDZ2en5g4AxOXzKwAggssuu+zqq68ulUqFQuHQoUP//u//niRJKpUKC4tnvro96F3P7zQcJytlTki4aKrg/knCfpX6Ce5tbW0huIf/KcwojzzySH9/f2NjY2dn54033ljrcQCAM0c9fmIJAESXz+crlcrY2NjBgwd/8YtfJEly2WWXJR9fIXDmK5fLDQ0Nf/7nf17rQaZb3b7TwBRxwn1yIbgXCoVaDzJNWltb0+l0qVSq9SBH9/jjjw8MDDQ1NXV1dWnuAEAsPr8CAE7VsmXLQm0/dOjQyy+/HD4YNvaeRsE9nU53d3fXepAaENwn54T7CbHDfXIhuI+NjdV6kGnS0tKSSqVmbHBPkuTSSy8NzT2fz69YsaLW4wAAZwKfXwEAp2TZsmVJkhQKhYGBgddee6368T179pxG60pCcM/n87UeZLo54U5cgvvk0ul0XQX35ubmGR7c0+n0X/zFXxw8eDDslrnqqqtqPREAcNrz+RUAcPKuuuqqcrk8MjIyODj4yiuvTPyhDRs2VCqVxsbGWs12QkqlUjqdzmaztR5kujm+fUyVSqXWI5xO7HCfXDjhHq4pXQ+amppmcnC/+eabw8abH/7wh2NjY83NzT09PVdeeWWt5wIATm+COwBwkr72ta8lSTI+Pj40NBT2th8mnHC/+OKLp320E1YqlVKpVCaTqfUg0+3/Y+8+w6Qq0/SBn1Q5p+6GJkkwMDO4wzg71+zsXm6bEEUdRIIRJSo6OgIGVAyg5CgiKAiCgohxUBTHZtj9NLM5Oes4Io6IDXSsnM85/w/P33PVVldXnzpdkbp/H7ya6jpVb1U3hXWfp+6XRvsrvYpqh3MS6tGvU9UGrBVHE+6RSKTSCykTCtzT6XSlF5JbQ0ODsrwtW7ak02mj0eh2uydNmlTppQEAAEANw/srAAAA0GLy5Mk8z6fT6VgsljXbrqCdSD0eT5nXpgFNuBsMhkovpNxQKQPFhUqZ/OgTAN3d3ZVeSJl8++23DMNUbeBus9kyzwds2rQpmUwajUafz9fS0lLZtQEAAEDtwvsrAAAA0MJkMiWTyUQikacbgQL3mihGT6VSLMvWZ+DOsuwVV1xR6YVUL7TuFIQCZUy494XjOEmSMre7OLcZjUaGYVKpVKUXkht9qinzfMDzzz/PcZzFYmlqaqrcugAAAKC2IXAHAACAgt18882iKNJGqceOHevralRXYrFYyrk2bdLpNMuyer2+0gspN0mSWJa12+2VXkj1Qod7QejkBAL3vlClTKVXUT70olq1gXvO8wGxWEwQBLvdfsMNN1RoXQAAAFDbELgDAABAYWhDuVQqFY1G86TtDMOk02mO42qiGD2ZTDLfZ0N1hU6K1MTPqIJYlkW/hEqolMmPZdm6enL0er0sy/QCW4XoU01Zy3vppZdEURQEwel04i8+AAAAaIDAHQAAAAqj1+tFUUwkEq2trfmvScXoNEJY5RKJBMuyOp2u0gspN5pwR+CeR13NIw8cKmXyq7fAnV5UqzZw7+t8wJYtW1iWNRqNNbEHCQAAAFQbBO4AAABQgFtuuUUUxWg0Go1G+70yZRY1UYwej8eZ77OhukKBe038jCqoPk/GaEMT7lW7SWbF1VvgLgiCLMv0AluFaHmJRKL3txKJhE6ns9lsl112WfkXBgAAADUNgTsAAAAUJp1Ox+Px/GUyiueee64mwtxwOMwwjCAIlV5IuVHgXoddOurRhDsCd5XQ4Z4fAveqkmd5O3bskGXZYDB4vd7yLwwAAABqGgJ3AAAAUOvmm2+WJCmZTBaUpr333nulW1Kx9PT0MHUZuNOPEoF7v+rwd0MbqpTBhHtf6jBwlyRJzSeiKoIC976WR0G8yWS64ooryrsuAAAAqG0I3AEAAEAtjuPS6XQikVA53l5DNm3aJMsyz/OVXki5iaKIvpT8ZFlmWRaBe0EQuOdRP+P/M2fO5DhOlmX6CFEV4nlekqS+lvfKK6/IsqzT6ex2e5kXBgAAADUNgTsAAACocuutt0qSFI/HU6mUykMmTpxY0iUVlyzLdRiqUuBehw9cPaqUqcOTMdrQhLv6V4m6Mm3atLqacG9sbKRE2+/3V3otuXEcJ0lSIBDo6wqpVIrneZPJ1NLSUs6FAQAAQE1D4A4AAACqcBwnimIymVQ/3l61IUtO9TnhTpPImHDvF85JqEQd7gjcc2pqamLqacLdZrNRov3OO+9Uei250b9rbW1tfV1h165d9Bkgq9VazoUBAABATUPgDgAAAKpQL3NBOdqKFSueeOKJ0i2puOo2cMeEe35UKVOHvxva0IR7Mpms9EKqkdVqZVm2fgJ3k8lEiXalF9InWl5ra2ue6yQSCY7jamL3bwAAAKgSCNwBAACgf7fccoskSRqmVmVZvu+++0qxpKKTJInjuHrrDaAJdwTueVClDMfhf5tVoQl32m0SshiNRqaeJtyNRmM1n2BYuHChmuUlk0mO43Q6Xb396wAAAACa4Z0DAAAA9E+n04miGI/HC90uVZIknuevv/76Ei2siChwd7lclV5IWdFJFIxv54EO90LJsnzu7atcFDQlXT87yhoMhmqecHc6nSzL9vvj2LdvH8MwgiCgegsAAABUQuAOAAAAqkiSpCEnop6WmkixKXC32+2VXkhZJZNJVMr0i2VZTLirRBPukJNer2fqacJdp9NV84S7xWJRE7gTlmVNJlOplwQAAADnBrxzAAAAgP7JsqwtNBFFkeO4mthujgJ3i8VS6YWUVSKRYDC+nRcm3AtCHe6VXkWVosC9fibcaSS8ah8vBehqqtLoxCTOugEAAIBK+J8GAAAAUEVDgTvDMKIo8jxfEyl2Op3mOK7eZhipaxtpch7ocC8UAve+CIJAu09XeiFlIgiC+hHy8qOGHzUb/IqiiJ2TAQAAQD28cwAAAIB+3HnnnZqPpZyCtgqscjW01CIKhUIMAve8ZFnGcKt6qJTJg7qbtJ28rEXfffcdU8UT7nq9XpZlNYE7PYQ63FUbAAAAtME7BwAAAOgHdURo2wiRxsZrIsVOp9Msy9LMY/3YvHkz9exXeiHVCxPuhcKEe19owr1+And65a/ax0uNN2oC9zfffFOSJJxMAgAAAJWwQRYAAACooi1ES6VStZJiv/zyywzDXH311ZVeSAUgTc4DgXtBEErmQWe2qjaALjrqrFeTaFcEnf+gWi0AAACAIsI7BwAAAOgHy7Isy0qSpOFY2muOYpeacOTIkUovoQIw4Z4HAveCYNPUPHieV9lhcm7Q6XTV/HgFQZAkKRaLqbw+frEBAABAJbxzAAAAgH4IgsBxnLZMNpFI1FbgXodkWUaanB863AuCXLIvFLgnEolKL6RMKHCv2sfL87wkSZFIpNILAQAAgHMN3jkAAABAP6i7VlvgTsODVJVb5SZNmrR06dJKr6ICELjnhwn3gqBSJg+O4+qqw4Q6W6o8cA8Gg2quLEkSziQBAACASnjnAAAAAP1IpVIcx3Ec19LSUuixoVCIqZHAneYcb7vttkovpNwQuOeHwL1QyCX7QhPu6jtMah0F7tFotNILyY3jOEmSOjs7+73m5MmTZVnW1qsGAAAAdQjvHAAAAKAfe/bsEQRBELTstd7R0SHLsrZjy6ynp6dWllp0SJPzoPgYg9vqIXDvC02410+HSZV3tnAcJ4ri+++/3+81qRVNkqRjx46Vfl0AAABQ8/DmCgAAAPrHcZy2HvbNmzfXSoq9ceNGhmFqYqnFhQn3/GisFU+RStg0NQ8K3Lu7uyu9kHK49957aaJfZWdLmc2bN48CdzVXpgei8soAAAAAeOcAAAAA/eM4TqfTacvcZVnmeV5DHU350VIrvYpyo47+Sq+iesmyjE1TC4LAvS8sy0qS9Lvf/a7SCykHl8tFnS2nT5+u9Fpy8Pl8LMum02k1V0afDAAAABQE7xwAAACgfzSlbjQatR3L87zb7S76qoquPgN3TLjnh0qZguCJyoMm3Cu9ijKxWCw0Ql6dNSw2m41hGJWBO50pqdrdXwEAAKDa4M0VAAAA9C+VShkMBpPJpGFQXZIknucdDkcpFlZcdRu4syxbEx9BqAhsmlqo+smUC0W5baVXUSYmk4km3Cu9kNzMZrPKCfebbrqJYRhRFJPJZOnXBQAAAOcCvHMAAACA/l177bU8z5tMJg0V56IochxntVpLsbDionMD9RY9S5LEcZzFYqn0QqoUJtwLhcC9L9UcQBedwWBgWbZqe8/pA1tqMnSdTifLciqVqs5RfQAAAKhCdbctGAAAAGhAY4AGg4E+hl8QURT1er3ZbC7BuoqMomcNj7GmbdiwgWGYhoaGSi+kSmHT1IJg09Q86mrCXa/Xqy9JLz/akiSVSqm5sizL+K0GAAAA9fDOAQAAAPqXSqVisZhOp7NYLIUOgKfTaY7jTCZTidZWRBS410T7TdG1t7dXeglVChPuhUI02Ze6Ctx1Ol01T7jr9XpZlvutZZ86dSqdNgiHw+VZGAAAAJwDELgDAABA/1Kp1IwZM/R6vdVqtdvtBR2bTqdZljUYDCVaWxGhXAV6o457BO7qIXDPo64Cd0b1rqTlJwiCmsBdEARJktDeDgAAAAVB4A4AAAD9i8fjNKtoMBicTmdBQ+6pVKpWAndRFFmWrYn2myK65557Kr2EqoZKmYKgUiaPap74LrqTJ09Wc6UMBe6xWCzPdaZMmUI/smg0WraFAQAAwDkA7xwAAACgf5RKXHLJJTzPWywWt9ut/thEIsGyLBXmVjlqv6HN9OqHJElLliz5yU9+UumFVClUyhQKgXtf6qpShmrEVJaklx+NrudP0mlIX5Kk+jlNAgAAAEWBwB0AAAD6FwqFZFkWBCGVShkMBofDoX7InabjayVwr5Vh/CKiuf6a+AFVBCWkCNzVQ+Ce0913380wTP1Et/RCWrWBO8/zkiTlaWafOnUqx3HpdDoSiTAMc/XVV5dxdQAAAFDbELgDAABA/86cOcMwjCAIn3/+ucFgsNvtgwYNUnksjRAKglDC9RUJtd/UW/RMCSDNckJvFB+jUkY9BO450e4X9RO463Q6WZartv2c4zhJkrq7u/u6grJ+6nmPx+NlXB0AAADUNrxzAAAAgP698MILsizzPO/1eqPRqMFgcLlcv/zlL9UcGwwGZVmuiTw3mUzWYeBOc/01cUakIjDhXigE7jmZTKa66nDX6/VqdiWtFI7jRFE8cOBAzu9OmzaN47hUKhUIBOgS1LgDAACAegjcAQAAQBVJkniet9lszz//vCRJZrPZ5/Ndfvnl/R64bNkypkYm3GkYE4E7ZELgXhBsmtoX2hyiajcRLTp6SanywD3nt6ZMmaLX6yVJisfjx44dYxjmoYceCoVC5V0gAAAA1DAE7gAAAKAKBe4Wi4VhmLVr11L43tzcrKbMnfrfS7/GgaK9YWtiGL+IKAGsiR9QRRw6dOjZZ59F4K4eAvec6Exe/Uy4066k9KJabRYuXNjXpw2uu+46o9FIZTIffvhhS0vLkiVLRFH0+/3lXycAAADUKATuAAAAoIokSRzHmc1m+qPf7zebzV6vV02ZO9XRqBmHr6xoNFqHs960q2G9PepCffjhh5VeQs1A4J4TVazUz4Q7z/OyLFdnE4vT6WRZNufPwmaz0bd6enroEpqF379/f3nXCAAAADUMgTsAAACoIooix3HUisAwzPbt21OplMlk8vl8U6dOzX8sTcf7fL7SL3NAenp6amUYv4ioSIfn+UovBM4RCNxzoheWugrcJUmqziYWi8XCsiyda8w0Y8YMQRBEUQyHw0ePHmUY5oorrqir5n0AAAAoCgTuAAAAoEo6neY4zmAwKJesXr1akiSLxdLY2HjDDTfkOZam4+12e+mXOSAbNmxg6m/Wm0qW6+1RqzdhwoRKL6FmzJkzh0Hg3gfqquod8p6TFi1aRIF7V1dXpdeSw4cffrh8+fJdu3ZlXjh9+nTlUwiHDx+mC+lDXfVzmgQAAACKAoE7AAAAqEJba2YG7gzDrFy5kmVZm802dOjQa665pq9jRVFU+t+rHLXfVHoVZUUly/X2qNUTRfGJJ56YPHlypRdSA+j1gbaZhSxUsVIngbvdbuc4TpKkDz74oNJrUWXq1Kn025tIJN566y3lcpPJ1Ff5DAAAAEBfELgDAACAKqlUimVZ2vcv03PPPWc0Gp1O58iRI6+99tqcx1IdjdL/Xs3qMHCnzod6e9TqUXyMTVPVoNcHTLjnRB8iqZPA3Ww2U+Be6YWoctNNN5lMJoZhEonEwYMHM79Fv9J18lMDAACAYkHgDgAAAKpQ8Qi1ImT5+uuvdTqdy+U677zzJk2a1PsKNB2v9L9XszoM3J9//nkGgXvfqL4Zgbsa9PqAwD0nmnCnLRPOeUajscqrzx9//HE6QzxlyhSLxSIIQjKZfPPNN7OuhsAdAAAANEDgDgAAAKokEgmWZXMG7q+++up3330nCEJfmXsqlcrqf69atL9rpVdRARyH/y3MDYG7ev/yL//y7LPPHjhwoNILqUYUuNOZy3OewWCo5sD9vvvuk2U5FotNnTrVZrPxPJ9Kpdrb23tfU6fT1c9pEgAAACgWvLMCAAAAVSKRCNP31povv/zyqVOnBEFwOp2jR4/OKrxOJpO9+9+rkyzLHMdNnDix0gspqzqc61cPgTsUBQXu8Xi80gspB51Ot2LFihdffLHSC8mNfhafffaZxWLhOC6ZTHZ2dv7ud7/rfU1BEOrnNAkAAAAUCwJ3AAAAUCUYDMqy3FfgzjDMjh07Tp48aTQa3W73qFGjZsyYoXyL0ore/e9ViPZ3dblclV5IuWHCvS8I3KEoOI5btWrVF198UemFlMPevXsrvYR8eJ7ftWuX2WxmWTaZTJ45c+bjjz/OeU0E7gAAAKAB3lkBAACAKs888wwF7nmmv1955ZUvv/yS4ziHwzF8+PCZM2fS5fF4vK86mmojSRLLslartdILKSua66/0KqpUOp1mELirc9lllz3xxBM33nhjpRdSjbZs2VLpJcD/d+DAAavVSr3tr7/+emtra1/X5HlekqRYLFbO5QEAAECt63NIDQAAACALFY+43e4813n11VcZhlm2bJndbud5fs6cOV999dVVV10ly3JNBO6iKOr1erPZXOmFlBUC9zwQuKtHxUTYNBXILbfcUuklZJs4cWJDQwO9wicSiX379uW/PgXu0Wi0LKsDAACAcwTeWQEAAIBaFLjb7fZ+r/nkk0+mUimLxTJkyJAf/vCH//iP/8j03f9eVdLpNMdxRqOx0gspKwTuedB+iQjc1aDAXZKkSi+keh07dqzSSyiHm266aenSpalUqtIL+T9uvPHGpqYmvV4vy3I0GlXTe8NxnCRJwWCwDMsDAACAcwbeWQEAAIBakiRxHKdy+vvpp5+Ox+Nms7mpqelHP/rRzp07ayVwr5X9XYsIgXseVN+MwF0N+i3ChHtOixcvXrhwYaVXUSYUatPJqioxY8YMl8ul0+kkSQqFQmqKj2bNmsWyrCiK3d3dZVghAAAAnDPwzgoAAADUEkWR4ziTyaTy+suXL+/p6REEwePxjBo1Kk9PbvVIpVII3CHTrl27GATu6mDCPTc1I1sAACAASURBVA+ala70KsqEtsiunsB95syZDofDYDCkUqnu7u558+ZRVVR+jY2NHMeJovj222+XYZEAAABwzqiBQTMAAACoEqIoCoKgPnBnGGblypX0X5vNptPpHnjggePHjx8+fLhkaxwo6kCgtKh+yLKMQDk/PD9qYMI9D5Zl6ydwFwRBlmX6dEhlTZ061eFwKKXtJ0+evPLKK5nv92bIz26304R7yVcJAAAA5xaMMgEAAIBa1G+uYfp7yZIliUTCZDINHjz4r/7qr2bNmlWK5RVFIpFgWbYm9nctIioLqvQqqhoCdzXot6h+YuWC1FXgrtPpZFmOx+OVXcbtt9/udrv1er0kSeFw+JVXXjl69KjZbGZZVk2/PMX0aqJ5AAAAgEx4ZwUAAABqUd2KtunvSy65pLu7WxAEt9s9cuTIBx988Prrry/6CgeOEqJ6C9xpwv2qq66q9EKqFwJ3NRC451FXgTvP85IkRaPRSi3gxhtvnDNnjtVq5TgumUx2dXW99tpr9C3aE1tN4G40GlmWReAOAAAAhULgDgAAAGoNJHAXRfHSSy89ffp0KpUym82DBg0aN27cnDlzir7IAYpEIkz9Be6SJLEsa7PZKr0QqG0I3POot8BdluVwOFyRe585c2ZTU5PZbBYEIRqN7ty5M7OEXf2GrvSPnZpoHgAAACATOtwBAABALSrk1RZGp9NpvV5vMpkeffTRJ554wuVyuVwuk8n00EMPff3119WzJZ3f72cYRhDq6/+RqFKG+hOgt4I67idNmkSd0SaTyWAwCN/jM3Acp/yX7QPDMMoXyjKyVqV8IUlS5n8zv5AkKf29f/iHf6BDfvCDHySTyVgsFo1G33nnnYE/RYRWiw73nOqnDXzevHnXXXedJEmBQKDMdz1jxgyHw0Hd66lUKhwOK4PtCorR1fTLq4/mAQAAADLV15tJAAAAGIh4PK6535z63+mz/M8++yzDMCtXrmxtbb3++uvtdvv999//xz/+8ejRo0VeceHWr19/9OjROgzcWZalnw4wDDNt2jSXy2Wz2cxms8Fg+NnPfsay7NatW3U6HUXnmQE6x3Esy9J/WZa99957MxNzGvrundcrl+QPqfsN+lWeCZBledmyZcofJ0+eLH/vk08+yUzniZgh9b1EIpFIJOLxeDQaDYfDfr//zTffzLwXjuPoptQsqQ7VyTPj8Xg4jpMk6eDBg2W700mTJjU0NHg8HqXN5pVXXsl5TfX98vSPHQJ3AAAAKFR9vZkEAACAgQiHw7IsawujqY4mc8PVJUuWeDyeaDTqcDhMJpPT6Zw7d+6OHTuKt16NND/G2iWKYtZP55w0depUn89nt9tp/NxoNOr1er1er8ToytT5zJkzKSunGF2W5cGDByu3I2dQ/ij1Qml11rfE/yudTmdNpouimPXfrIH3rOF3WnbW+mnlyh9J5lPR3d3N9aLT6TLPHCh3lPU0Ko+XwvrMx0JnFwYPHvziiy8mEgmaoA8Gg+3t7QcOHCjtT7e63XnnnbfffnudTLhbrVae58uZU8+cOXPEiBE6nS6dTieTyZ6enqxTQZkEQZAkKRaL9XuzgiDIsqxmFh4AAAAgU329mQQAAICB6OnpYbTWrSSTyd6Rbjwe/8EPfvCv//qvFovF6/VaLJYlS5acPHly3759xVmxJrIsZ6WT5zxKdbW181ePmTNnejwem81msViozkWv11OpCyXOd9xxR1aazDAM5emZsXgqlaL4mL5IpVIjR448ffr0d999F4vFIpFIT09PX8Oz1eyuu+7ScIjb7aZTFEajkZ5SnU6XeYqC53mDwUBPrMfjYVl21KhRdHjmE/vxxx8rz6oyLE/PZzAY7Ojo2L17d7EfcRVxuVwMw9RJ4G4ymcrWn3PbbbfZ7XaXy8VxnCiKoVDo1VdfzX8I9cur2dCVhuXVzMIDAAAAZELgDgAAAGqtWrWqtbWV5/nrrrvugw8+KOhYyiyy6mii0agkSePGjfvwww9HjRpF9R0Oh+Phhx8+ceJEpYrd6zBwp2is+reKnTFjRlNTk8PhsFqtmSPqVJI+ZcoUJU+n69MEOo2KKz3myWQymUxSL0ooFOrp6dm2bVv++21tbWUY5tFHHy31A6w2hYbgu3btGjZs2O9//3v6ARkMBiWjFwRBp9NRNE8/JjqEJuVFUfz444+VH5BSXEOnN9ra2vbv31+Cx1c+FouFqZvA3Wg0Uvxd0nuZPn26y+Xyer1UXxOLxTo6OtT8q0ExejAYVHNNWZbVzMIDAAAAZELgDgAAAAWguhWa1iwIjRNmRbp+v5+262xsbFy8ePFjjz3m8/low0mXy7V48eLjx4+///77RVu9OrSkMt9pZaXT6eqZcL/qqqtGjx6tDFabTCZlqnrGjBkU19I1lVKXzJ7xeDwej8epYXzt2rXFWpX6TVPrGX1cIBaLLV26NM/V7rjjjmHDhjmdTvosQuaP2Gg00kaydE0akBdF8fDhw6lUirJ4ZS6+q6vr66+/LvTkX0XQBgnpdLrSCykHvV5f0gn3G2+80efzNTU1USCeSCT8fr/6z0XRyYCurq5+r0nRfCQSGdh6AQAAoO4gcAcAAIACUBhts9kKPTAUCjG9AvdVq1YdPnxYEASqmlmxYgX91263UxjndrsXLlz45z//+cMPPyzSI+gfTbhffvnl1bCJa3lQh3v5m+vvuecej8fjcDg++ugjumT+/Pnz5s1TdiJlGIZlWeokSafTiURCGU4PBoNnz57tdzi9KGRZRuCuBj1L/W4Nunfv3vxXWLRoEbXtWywWpcrGbDZbrVblF0P5rTh06JDyW0EnWtrb27dv316sB1UU9BJXJxPutBlAKc4uUNQ+fPhwqmtPpVJqOmSycByXTCbfffddNddMpVJqZuEBAAAAMiFwBwAAgAJIksTzvNlsLvTAb7/9lsnV/y6Kok6ny5ytfuyxxxiGWbVqlc1mc7lcFovF4/H8+te//vzzzz/55JOBLV8VURQ5jvN4PGW4rypB0VjpKmWuueaaUaNGUcE6tYHTRPMVV1xBu3oqgTvttUj5aSQS8fv9bW1t1VCYjsBdDfrwQb+Be7/Wr1/f17ceeOCBQYMGKdPx9ItkMplcLpcSxIui+NFHH9E4PKXwgUCgvb39f/7nf44dOzbAtWlDL3F1MuFOryTFfbCZUTul+YFA4Be/+MWsWbMKvSmVdTfz58+/6aabJElqb2/XtGQAAACoXwjcAQAAoACiKAqCYDKZCj1w586dra2tOQN3lmV7R73Ul71mzRqac3c4HE1NTYsXL/7yyy9/85vfaF6/GpIkCYKgYYq/dqVSqSJOuM+ePbuxsZEiURpPvvPOOwVBoHZ16oGh6dRIJBKLxZTdCysVhkKxUORd0jnuzZs357x8zpw5I0eOdLvdSn280Wik03X0WyeK4oQJE9577z0lhad2+Jdeeql0q1XQS1wqlSrDfVXcyZMnGxsbixW4947ao9HoZZdd5na7v/rqq0JvbdGiRRMnTlTzK+rz+ejuyvn5KgAAADg3IHAHAACAAoiiqNfrqY+4UNT/3tLSkpmrUnt4X7PVDz/8MMMw69ats9lsbrfbZrM1NDQ88sgjX3/99cGDB7U9hH7RY9QwxV+7KAfUFrjfd9991P5Bo+s6nW7ChAnKrrNU+kHND7FYLBgMdnZ2btiwIetGFi9ePMCHUGqYcFeDou2BT7hrsHPnzpyXP/roo4MGDXI4HBaLxWAwmEwmq9Xq8/kYhhFFURTFQ4cOKRG83+8/c+bMli1bir48+stVJxPudEZ24GcXpk2b5vV6R44cST1CFLVTi9R7770ny7KGu3A4HCrrbqxWa0mb6AEAAOAchsAdAAAACkD5OPURF4rqaBwOR+8bzF9msnjx4vnz519wwQUWi8XlclFe9thjj508efL111/XsJL8aEkapvhrVzKZZBhGScnzuPvuuxsaGmhjW2qG+bu/+zuajqdO7VQqFQ6HY7FYKBRqb2/vna3XInS4q1SGCfdCrVq1qveFS5cubWxstNlslMLbbDan06kMwn/wwQcUwYdCoZ6enu+++27gWwUIgqAtIK5F9A8Evapoc9ttt7lcrhEjRtAnY6igP/OnwHGcLMsa7sJisTDqTgbQOdc6OUcCAAAAxYXAHQAAAApA3SOZlevq0YarTqcz6wYZFbPVSu3DunXrrFYrzas2NDQ8/fTTbW1tL7/8sob19IUCd21T/DUqkUgwuQL3GTNmDBs2zOVyUfe6Xq//+7//e5o2pWgymUyGw+FIJBIMBk+ePLlr165KLB+qBXW4V1XgntPy5cuzLrn//vtHjBhBm0YYjUar1Wqz2ZqammRZHj9+/Pvvv0+bCtBHNE6cOPHGG28UdI8UuA8kg64h9A+Etgd711132e325uZm5TMBkUjkhRdeyLoaz/Pank+TycSyrJrA3Wg0qrwmAAAAQBYE7gAAAFCAZDKpOXAXRZHn+axudLpB9WUm1D2yevVqu93ucDisVqvX612xYkV7e3uxdlWlwF3bY6xRsViMYRhBEObMmdPU1ET16waDYdKkSTzPU7zOMEw6nQ6FQtFotKenp97idUy4q6Gcian0Qgr2/PPPZ10ye/bsiy66yOPxWK1Wo9HodDrdbjfDMJIk/fznP3/77bej0WgwGOzq6jp58mS/+/rS2aw6Cdx1Ol2hafg111wzZMgQq9Xa2NiohOnhcLivzxbQhDudKSyIwWBQuTb6JwCBOwAAAGiAwB0AAAAKQAFH/gaYvtCGq1nd6PF4nGEYnuezut3ze+SRRxiGWb16tdPpNJvNZrPZ5XINGTJkyZIl33zzzf79+zUsT0HnALTV5tSc2bNnDxo0iJJE+ilQMkj7mlKxRiAQaGtre/HFFyu92EpC4K5GFVbKaNY7Q3/ssceam5uVPiWLxdLY2Dhq1Kjx48e/8847yhT2+eef33sjVs0T2bWIxvnptb1ft956q9vtHjdunE6n43k+mUzG4/FgMLhjx448R3EcJ0mSyrvIpH76Xq/X108LEAAAABQXAncAAAAoAI1Cawvc0+m0yWTK6kaPxWK0maqGTUopdn/qqacaGhqMRqPRaLTb7U1NTc8888yZM2c01y4nEol+a+Vr1+233z5kyBClOuPSSy+lhL2trc1gMEQikUgk4vf7jx8/vm/fvkovtlrQgD/0iwL3c7X2esWKFZl/vOOOO8aNG+f1eq1Wa+b5ueuuu+6tt96i+feOjo7jx4/v37+fAncNAXEtosCd/rHoy2WXXTZq1Ci73a4UtYuiGI1G29vbX3311fy3P3v27OnTp6dSqWg0WujaaPpezQ9Cw5w+AAAAAEHgDgAAAAUIhUKMisr1nHJuuBoMBhmG6b2ZqnrPPPMMwzC/+tWvRo0aZbVaqWqmsbFx3bp1XV1dGgbeKYs5lwL3Bx54wOfz2Ww2o9F45ZVXKjPslFiFw+Hu7u7LL7/822+/nTdvXqUXW6Uw4a4GVcqcq4F7lr1792b+8brrrmtpaWEYJhKJ0Px7Q0PDyJEjx48ff+DAAUpvbTZbQR/lqVEUuEcikZzfnTFjhtfr/elPf6rX6+k8RDqdjkajZ86cUdmM7/P5WJaVJKmvu8hDfeBe0Jw+AAAAQCYE7gAAAFCA9vZ2hmEEQdAQG+Wsahk6dKgsyxzHWa3WgSxsy5Yt9MXq1as9Ho/SM9Pc3Pzcc8+1t7d/9tlnR48eVXNTNDVZ04H77bffPnToUKWKffz48UoSSns/9vT0fPHFF2+++aZySGtra+9NU0GBwF2Nc3vCvV+ZL4m33HLLT37yE6/Xa7FYLBYLJcuXXnrpz372s7179yrD7+fk50h4npckiU6mKq655pqhQ4fa7fbzzz+fZVlKzGOxWDAYLPTTSFarlSbiA4GAtrWpGY2vqw8lAAAAQHEhcAcAAIACbN68mZJZp9NZ6LE5N1yNx+OyLPM8r6FSJifqmVm6dGlTU5PZbHY4HDabzefzjRgxYunSpadOndq9e3f+W/D7/YzWKf4KmjdvXlNTE20ke9lll1F6LklSKpXy+/2BQODUqVMvv/xynlvgOK5ci60xqJRRqa4m3PPL+mDNb37zm1OnTjmdTqPR6HK5PB7P8OHDL7744v3794dCIdp5dfv27ZVabRE98MADV155pSRJdHaWYZi77rrL5XKNHz+eWtoZhkmn07Tf7J49ezTchclkory+o6Oj0GMFQZAkiT6qlZ/6aB4AAAAgS429kwQAAICKkyRJW+BOlb5ZgXskEpEkieM4o9FYtCUyzPLly+mLNWvWOJ1Og8FgNBqdTueQIUPWr19PVTN9zZauW7fu6NGjNRG433333Y2NjQ6Hw2Qy/fVf/zWNZIqiSGPsXV1dK1euVHlT9DmDkq62pmHCXT3UXvfGcdzw4cMnTZpEf1y9enVDQ4PVarVarQ6Ho7m5eezYsW+88UYoFOru7j558mTt7lHscDg4jhNF0ePx/OpXv7JarcOHD6eXUxppD4fDmzdvHshd0D8WoihqKOeh3VbprKqaa2porQEAAACogXeSAAAAUFUocNfQAEPJRVZVi9/vL0Xgrnj44YcZhnnooYeGDRtmsVhsNpvVavV4PMOGDVuzZk1nZ+eJEyfefvvtrKNoH9dSrGfg5s+f39TURKOyP/3pTzmOU0qQQ6HQmTNnlHadgiBwh4GjCXcE7r1RBq38kT6IQ5566qnm5ma73W4wGCwWS1NT0/nnn79///5wOEynBmtr8v3zzz/v7u622WxnzpwZO3as8itBG6JmFd9ro9frWZbV9kEKjuOSyaSajT04jqOPB2m4FwAAAKhzVfpOEgAAAKoW5eMaGmByVrWsXr368OHDPM9nTb4X19q1a+mLlStXejwek8lkt9uVqplVq1a1t7d/8cUXhw8fpqtRy03p1lOomTNnNjc3O51Os9k8fvx4nuc5jkun05FIJBgMtrW1DXweFoF7HrIsY8JdDXqWUHvdG+XOOb9F2z6Thx9+eMSIEU6n02Qy2Wy2pqamCy64gGpn2tvbv/rqq1dffbVMKy7QlClTmpqa7Hb7D3/4Q6qOmTBhQjwej8fjPT09L730UhHvi/6xyDyBoV7WmY++3Hvvvb/85S9FUTx16pSGewEAAIA6h8AdAAAACiOKok6nM5lMhR64cuXK1tbW3pPjdIMlDdwVS5YsoS/Wrl3rcrmMRqPBYLDb7Q0NDWPGjFm1alVnZ+fx48cXLFhQ8cB9ypQpo0aNcrlcFovl5z//udJ9HI1GKWQvboaFwB0GjmJlDUUf5zzqHO/3amvWrFG+XrJkyfDhw6kwymw2NzY2XnDBBXv27PH7/WfOnPn3f//3Tz75pJRLVuXGG28cNGiQzWYbN24c5ezUahWJRMLh8IYNG0pxp4IgaNsqYP78+VOnTlUTuHs8Hhqixy8zAAAAaIDAHQAAAAqTTqcNBoPBYNBwbM6qFlEUe2+mWmoPPfQQwzBz584dO3asw+GgMgen0zl48ODRo0f/13/9V2dn58GDBw8ePFjOVTHf17LbbLaWlhaDwcCyrCiKiUQiFAqdPXv2+eefL9H9InDPAxPuKuFZ6gsVghd0SOYGDI8//viwYcPsdrvdbnc6nUOHDr344ot37tzZ3d397bffamuRGohp06bRy9TFF1+sbIUqimI0Gg2Hw99+++3kyZNvvvnmEt07/SOSSqUKPdDn86nsorFarfTaq2V9AAAAUPcQuAMAAEBh0uk0y7IDCdxbWloyxwbpBrO63ctjx44d9MWiRYvOO+88m82m1+tdLpfT6WxsbBw1ahTtsHry5MnXX3+9dMu44YYbxowZ43a7zWbzuHHjqJY9mUy2t7f7/X6lD6ekELjnhyhZpb6KU+qcygn3vjz33HPK18qGq16v1+v1jhgxYs+ePYFAgMbejxw5Uoz15nb77bd7vV6r1ZqZsycSCdoKta2tbf/+/a+99to111zT1tZWumXQhLuGwJ22HlETuNNHuLTVxAMAAAAgcAcAAIDCpFIpzQPp1P/u9XozL6TAvbKblK5fv56+WLhw4YgRI2gDQ6PRSG0zo0aN2rx5s9/vP336dBE3MLzrrrsGDx5st9uvvPJKevg0IhoIBE6cOLFv375i3ZEakiQhU+4LQmSV8CvUlwEG7pmUDVfvvffeCy+80OFwmM1mm802ePDgH/zgB9u3b+/s7Pzqq692795dlLtjGGb27NnUbTV27FhBEOjMnCiKsVgsEAicPn0683wknTotaVRNQb+GwJ22HlFzoNFoZFlWw10AAAAAMAjcAQAAoFDJZHIggTvP8w6HI/NCCjUqMuHeG5UOHzp06MiRI+eff77D4TAajSaTyeFwNDY2jhgxYtu2bcFgsKOj48SJE++++66Gu7jnnntoQPXHP/4xz/OSJImiGAqFOjo6SlR5rAZNuGd9+AAUiJLVyLM1KBS9n2Tr1q3K188991xTU5PVam1oaPD5fKNHj961axd9Okdb4cyUKVMGDRpEpx7HjBkjCAL9cClnD4VCbW1tOU8Knjp1yufzlTSqppfNZDJZ6IFGo5FhGDUH6vV6bUP0AAAAAAwCdwAAAChUPB5ntObjoijyPE+f61dQ/FHZCfcsoihed911H374IUVamzZtoq0LLRaLxWLxeDzNzc0XXnjhxo0be3p62tradu7c2e9tPvDAAx6Ph6ZEOY6jZvZgMPjNN9/s3bu39I+pH5IkCYJgs9kqvZBqhBBZPTxXORVxwj2nxx9/nL546KGHRo4c6XA4HA6HzWYbMmTIrl27enp6Tp06tXHjxn5vZ/bs2W6322Kx/PSnP9XpdEpbeiqVisfjwWCw3xuhULukUTWVbiUSiUIPpPPEKgN3ldcEAAAA6K2K3tkCAABATYhGo8wAAnedTkf1uApK8KkloEqk02mO45R1/vrXv6YvnnvuOZ/PZ7FYDAYDjb03NTWNHj16+/btwWCQ5knfeOONzJu6//77PR6P2WweM2YM7dcXjUb9fn/mjojVgCplLBZLpRdSpTDhrgYm3PMozw6cmVs+bNiwwePxWK1Wu93e3Ny8e/duv9/f1taWtS3E9OnTGxsb7Xa7yWS68MILdTod/bZLkhSPx+PxeGdnp/ox+TJE1bQDrbbAXWVSTzXxCNwBAABAGwTuAAAAUJhgMMhoHUjPCrIJJfg8z0+cOPHjjz8uyiIHiGrlaVQzkzJG+vDDDw8dOtRutxuNRpvNZrPZfD7fsGHDLrrooq1btwYCgY6Ojq+++ioUCt1www2Us4dCoa6urnXr1pX90ahCgXvvhwwMprZVQ+Ce03333Td58uTyBO6ZFi5cSF+sXbvW6/UqVe+7du06dOhQc3Mz9b+PHz+edkClMfx0Op1IJCKRSHt7u5rP7mRRH2prRp8QisVihR6o0+lkWaZTvPlR4K7mmgAAAAC9IXAHAACAwjz99NOtra08z2vo+6YNVw0GQ+aFwWBQlmWe551OZ1FXqh0F7lnrzLRmzRrl63Xr1rndbrPZrNPpDAaD0vb+ox/9KBwO+/3+s2fP/u///m+Vd6OLoojAHQYOgXtvVKJV/sBd8dBDDzEMM2nSpKFDhzqdTovF8otf/EKv1/M8r9SzxOPxWCzm9/s3bdo0kPuiULt0gfsDDzxw7bXXSpIUiUQKPZZidDVJPdXEI3AHAAAAbRC4AwAAQMFkWRYEwePxFHogbbiaFWQPHTqUYZje3e4VVNDGsIsXL547d25DQ0M8Hh8+fDjts2o0Gs1ms8vlGjRo0JgxYy655JItW7bQ5PuXX3750UcflfohFIoCd2174Z7zZFlGpYwaeJZyos/0pNPp8t/1hAkTRowY4XK5LBbLpZdeSrXsFLJLkpRKpRKJRCAQOHPmzIUXXtje3v7iiy8O8B5LPRvucDhowj0UChV6LMXo4XBYzTVlWdaQ6QMAAAAwCNwBAABAAxpIdzgchR4Yj8d7p7rxeFySJI7jzGZz8dY4ICoD91tvvXXIkCF2u/2CCy5gWVYUxZ6enr/85S8bNmx48sknm5qabDYbJe8Wi8XtdouimEwmf/zjH2/dujUYDHZ2dn799dfvvvtueR5UfgjcoSgw4d4bfXCkbIH71KlTm5qa7Ha7xWKZMGECdbJzHMcwTGZjTFdX19atW9esWXP++eePGzeO47impqatW7d2dnb+6U9/ytqLQj0K3KkorBRonwlJkjo6Ogo9lgL3QCCg5pqiKKqJ5gEAAAB6Q+AOAAAABaN8XMNAOn2WP2vD1UgkQgl+9fSZ0HhmXxvDXnXVVWPHjnW73RdffDENQsbjcb/fn9nPvmzZMuXrlStXejwen88ny7LJZKLJd1EUR44cOW7cuG3btoVCoZ6enra2tj179pT6ofWFAndte+Ge82RZprwS8kOHe050HquklTJ33HGH1+u12Wxms/kXv/iF0slOtezxeDyZTEYikZ6enueffz7zwIcffpi+2LBhg/N7Q4cO3bRp0+nTp1evXl3oSijU1jB+rpLRaKSzm5988kmhx3Icl06nz5w50+816Xnr7u7WtEYAAACodwjcAQAAoGCiKPI8r2EgnVKYrFS3p6eHEvzqCdypSaB3+jxnzpyGhoZLL71UEARBEJLJpN/v/8tf/rJ///48t7ZkyRKGYd555x2Hw/H73//e5/PZbDaDwWA0Gk0mk8vlkmWZxk537doVDocDgUBnZ+eJEyc++OCD0j3GLJQGInCHAULg3hv9tUqlUkW8zeuuu27IkCFOp9NkMplMpp/85CdKyK7UxSSTyWg06vf7169f3+8N0g6rCxYsuOiii+x2e0NDg9frffnll3t6er755huVVTMzZ8686aabZFkuXVRNjWTaPi7AcZwkSUeOHMl/tQceeGDSpEmiKL755ptalggAAAB1D4E7AAAAFIwCdw35eHt7O9Mr1V27du3hw4d5ns+zSWmZUeeAIPz//1O64YYbRo0a5XA4WwmXFQAAIABJREFURo8eTTOSVAjz0ksvqb9NGiEfPHjw7Nmz6ZKnnnqKamcyN1z1+XzUPHPJJZe89NJLNPx+5syZV155pegPMxPtE4vAPSd0uKuEZyknalkZeKXMnDlzXC6X1Wo1m81XXnklJexUfiLLsiiKtPcp1cW88MILGu5CCdafeuqp5uZms9lstVp9Pt/mzZvPnj37b//2b/nnyhsbG6lg/f3339fyCFXQ6/U04a7hWHr17vdqLpdL810AAAAAMAjcAQAAQIN0Ok37ghZ64JYtW1pbW5UgWyGKok6nq54C8bVr1x49elQQhJaWlr/5m7/567/+a51OJ0lSIpHw+/0bN27UcJsU3/A8r1zyzDPPKF8/8sgjzc3NDofDZDLp9XqqfXe5XNS5nEql9uzZE41Gw+FwT0/P2bNni56/0/ht7x8NMN9Pbbe0tBw7dqzSa6l2mHDvTfOEe2ZRjMFgGD9+PG15SrueUsjOsmx3d3coFCruaTnl1Wnt2rUul8vtdjudzmHDhq1cufLrr79++eWXcx5ls9lUhtqa6XQ6bWcvFi1aNHHiRDUxutVqZVm2IpvcAgAAwLkB76kAAACgYDQNrS0fp7r2rAursEBclmVBEC6//HIa2vX7/W1tba+++qrmG+wduGfK6kpesWKFx+OxWq1Go1Gn05lMJrvdTvlaOp1OJpN79+6NRqOhUMjv9589e3bnzp2aF0ZSqRTLsgjc88CT0y90uOdEOz0kk8n8V2tpaRk5cqTb7bZarSaTyWg0/vznP+c4jud5ZctTOu2XSCSi0WggELj66qtPnDjx6KOPlm7xDz30EMMwixcvPu+886xWq8ViaWho2LRp05kzZ/7pn/4p6xSU2WymCffSrYf+GmpIw51OJ8uyak57mEwmbXcBAAAAQPC2AQAAAAqWTCZZltXWACNJEs/zV1111W9/+1vlwurpM7nllluam5utViu1QCQSiZ6eHm3lDFkovlG59+Zjjz2mfL1o0aLhw4fb7Xaz2azX63U6HX22QGlqTqVSe/fujcfj4XA4GAx2dXV98803hw4dKmh5lAYiU86JKmWq4fez+iFw743+WvUO3K+//nr6XAsl7FOmTNHpdMoMO10nmUymUinqigkGg6dPn969ezd967333qOTcGV4CMqO0GvXrnW73R6Px263Dxky5Omnn/7Tn/504MAB+q7BYCh1GQs9mRo+LmCxWBh1MTr901bczn0AAACoK3hPBQAAAAWjwF1b/kiBu9frzbywGgL3efPmeb3eiy66iDqRw+Hw+PHjp06dWqzbp6CH5/lCm0myNjx89NFHBw0a5HA4MvN3m83Gsiz1z9D+q7t3747FYjQC39HR0e8IfCKRYPoewK9zFCLjbIQaCNx7own3RCIxa9Ysl8tls9logH3ChAlKwk6fpMnc75Ta2M+ePdvXhqUUype5apwG3h977LHBgwdbLBaLxdLY2LhixYpvvvnmpZdeKk/gLsuyhjSczlP2+zkDhmHow1tqrgkAAACQE942AAAAQMFisRjTa+9TlShwt9lsmRdWdrx6wYIFTqezublZp9Mlk0m/3//555/ff//90Wi0iPdCCRHHcVmPvVCrVq3K/OMjjzwyePBgh8NhsVj0er0gCHq9nmY5qYCCKmhef/11yu/C4XAgEGhvb8+qx6EHi8A9J5pwR+DeL1TKZJo5c6bb7aYG9rNnz15wwQUUr1NFDLWEK5udJpNJOkPW0dGxfft2NbdPTe4VaT5ZsWIFfbFx40a73T548GCv17tu3Tqv11vq9nN61BrScPVz6/RPGwJ3AAAA0AxvGwAAAKBgkUiE0ZqP0/6olAgrKhW433///Xa7vbGxkWGYeDze0dGhtMd8/PHHGqbR86DHyHGc2Wwuyg2SrPL3+++/f9iwYZS/U/+7Xq9XtrdVWuBTqdT+/fvj8Xg0Go1EIoFAoKura8WKFdOmTSvi2s4xCNyhLxMmTBg6dKjT6aRyGL1ebzAY/vZv/zYzXme+H2AXRTEejyeTyVAoFAwG29ra9uzZo+FO6fRGZavGH3zwQYZhVq1a5fF4vF6vTqdjWfa///u/S7fDsMpC/N70ej19zqDfa9K+rAjcAQAAQDO8bQAAAICC9fT0MFrzx3Q6bTAYskJnCkHKFmjeeOONw4cPt1qtXq9XkqRYLNbR0fHKK69kXkcUxYFPo2eix8hxHO3IVyLPP/981iVLly5taGigMVuj0SgIgtFopOdflmUlgqdB+Hg8vm3btmg0Gg6H/X5/e3v7vn37SrfaWkFT2xj/V6MeJtxvvfVWj8djs9notJbBYKD6dZ7nKV6XJInJiNdpgJ0+YtLd3b1p06aiLKOCE+5ZaNfWJ5980mQyxWKx0aNHDxo0aMmSJX/4wx+KHrvT0xuPxws9kObW1RwoCIK2uwAAAAAgCNwBAACgYCtXrmxtbRUE4fLLLz969GhBx1JduzJzTZQ+kwkTJnzyySfFXOv/ddNNNw0ZMuSiiy4yGAyiKIZCoTNnzrz22mu9r0nVNw6Ho1h3HYvFZFnmOC7rsZfa8uXLM/946623jh071uVyWa1WygqphcZoNNIQriRJlMKLophKpd544w3asFFJ4Ts6OnI+Y+cwqpRB4N6vc69S5vbbb6fWdTpfRR8Zueyyy5TRdWV3U4rXJUmichj6K+P3+9etW/f+++/rdLp169YVN32uhgn3TMuWLdu4ceMf//jH8847z2az0b7NLS0tytdFMZDAnU6v9ntNGqJXc00AAACAnBC4AwAAgBayLPfe+1QN2nCV6nQVgUCAbtDpdBZvjf/HlClThg4desEFF/A8n06nu7q6vvvuu7fffruv6+esvhmIUCjEMAzLsrQjX6XknFh/6qmnvF6v1WqljViVFN5sNlOop8zqUh0NpfCJRCIWi0WjUdqa9ezZs++++275H1EZYMJdvRoN3K+//vqmpia73U6dMAaDQa/X6/X6yy+/PLMWhrYmVj4akkqlMjc49fv9WVscExpFL/qsN/3d1LB9aOkYjcZJkyZ99tln//Ef/6FceMUVVzzxxBOfffbZ+++/P8Dbnz179vTp09PptIYNNihGV3Mgz/OSJFFzGgAAAIAGCNwBAABAC80D4DkD92HDhlHgXsQKFwVF7RdeeCFF7YFA4Isvvjhy5Ej+o0RRZFm2iH3r69at+/TTTzmOq2zgntMzzzzDMMynn3569uzZ6dOnMwyzePHixsZGu91Og716vZ4aM3Q6nZLCM9/vy5oZxFP4qGzQSkH8O++8U+FHODAI3NWr8sB9xowZykam9AkP+t3+5S9/ScF6ZrbOfF+7RJsP0y95NBqNxWLBYLC9vX3Hjh1q7lQpmSmi2bNnT5s2TZKkqgrcqSc9mUxu3bqVYZiWlha6cMiQIW63e8mSJf/5n//58ccfa759n89H5zzC4XChx1JRTDAY7PeaHMfR5580rREAAAAAgTsAAABoQoG7hgHweDzOsizV6WZeSHUrxd1Q9Prrrx8+fPiYMWP0er0oioFA4Msvv/zoo4/UHJtOp4te/0KPsQoDd4XSj7Fu3bre3120aBFNASthJWWUmY00SkCpBPGbNm06cOAADQIr7TSRSCQYDHZ2dr755ptlfYQDoDw5kEc1BO7Tpk2jHhiTyWQ0GumMEQXr11xzDf89lmXpZ0onkERRpN/bRCJB2Tp9hiMcDnd1dVGCrA0FuMV7fAzDME6nk5ZdVXt70gu7sjGpMtS/bt06q9U6fPhwr9f7yCOP/PM//7O2eX+r1UqBe3d3d6HH0k+hq6tLzTWTyWRnZ6eGFQIAAAAwCNwBAABAG1EUeZ7XsP8nfU4/K3SORCJF7zdfsGDBhRdeKAgCTbV/9dVXH374ofrDU6lU70n8AaIq8KyTDdWDPmSQ5wo56zLuvvvuIUOGOBwOZQNJnU6XGcQ/+eSTyu0rBfHKyPDBgweVLJ7ieKWmpqen58CBAyV5qAWiHxwC936VrcN9ypQpmYPqyocw6Hfv+uuvV2bVaVVZE+uZv4RUCxONRqPRaDAY/O67715//fXirpYy4uLeJn3QhCrji3vLA6HT6WRZ7l2wvnjx4pkzZ1588cXUW+Xz+RYvXpzzrF5+JpOJZVlRFH/zm98UeizHcel0ut9P2yxcuHDixImiKL733nuF3gUAAAAAQeAOAAAAWlDFuYbAPRAIMAwjCP/nf0K6u7slSSpW4D5//ny73e50OiVJCoVCJ06cOHz4cKE3krP6ZoAkSWJZNuuxVw8651HoUdu3b895eVYQT3mo0tqh0+mUoXgmIwZVRuPJW2+9pUSiyoA8JfKRSCQUCnV0dPTbDjRwqJRRb+DJ8tVXX+3z+Ww2G/3mZM6nC9+jBhiO4zIbYHqn6tS4olQeUd8RFcKcPn167969xXjE/StF4E5/fWRZVsbJq4EgCH1tN7pnzx6GYRYsWDBmzBibzWYwGFauXPndd9+98MIL6m+f/oHQ9nEBCtz7vRp9dKDon0gAAACAulKl7/cAAACgyqXTaW159LPPPtva2po15b1u3brDhw/zPD/AgHvWrFlut9vj8UiSFI1GT58+rbmxhOZGi1v/Qol2NU+4F3GIu68gnmGYhQsXer1eGk82GAzKUDxFqLRfKyWnWfmpkshnhvIHDx5Mf49CVSWap/oamlzu6urSvGslBe6YcFejrwn3lpYWitHNZnPmrqTKWLry07/tttuU+XSSlaczDLN+/fpf//rX9IEJ5ZdBOTdDP/1IJBIIBDZv3lzGR59bKQJ3eqmUJKn3OHkF0XajeQrWX3zxRYZhHnzwwaFDhzocDrPZvGzZsr/85S+7du1Sc/v0gqwmN89y9913T5kyRU2MbrFYWJbVcBcAAAAACgTuAAAAoEUqleI4Tls+Lsty7ylvGpnXHHDPmDGjoaHB4/EwDBOPxzs7Owc4vpqza36AqPi+mifclUCzpDZs2NDXt2bNmjV48GC73Z5ZUJMZyNJ0fFb8SnLm8ko6L0nSwYMHlWQ2M59VYnrlC5qDDofDgUDg2LFjqJTJcs0111CVP0Xnyo+JflKbNm2in5dSlc7z/Jw5czIz9L6SdCWYVn6Osiyn02llSwD6qd14441//vOfo9FoIBA4ceLE+++/X7kno3+lCNzpbwGdWSzuLQ8EBe70MaY8Nm7cyDDMkiVLmpqa6NzbE0888ac//entt9/Of6DmwN3r9aqM0eljW1W1FS0AAADUnCp9vwcAAABVbiAD4Dm7wkVRZFlW2w0uWLBgyJAhtNNdT08PdRcMEMVYxQ3cKbet2sCdWn0qu4Z+B10XLFhAg9IUx9OUtCAIDocjHo9nTkZT1Ns7lydyL5TtKmG98sVbb72l0+k6Ozt/9rOf7dmzR5mnzozylf9mpvmiKFKfSeY8fua30uk0DeOLoqh5+l7R0tJCn5/IDLuVAp/My5Xv0rOU+YwplyhfZ36LzjpwHHfnnXcyDKOE5lnRufKcKx9QUJ5zpld9UObnFXbs2HHrrbcq9UHRaDQcDp89e/a1114b4JNTWaWoKKGXJkmSgsFgcW9Zs3vvvXfixImSJJ09e1bN9VeuXMkwzPLly10u16BBgxwOx6JFi3JuFKGgF08NgbvNZmNZVk2MTmeREbgDAADAQFTp+z0AAACocolEQvMAOA16T5o0KXMXU+qoKfQGZ8+e7XA4rFarKIqBQOCll17SsJ6ccnbNDxB1uFdtFXhxK2VKhCopevvtb3/L8/wf/vCH5cuXMwzz4IMPOp1Oi8VCoXxW4pyZJishshLQM98nxTkpqXHv/2YFypn6upryxVtvvdW7jCVnPUvmhZmrXbBgQdYlyqNQ/piVhmddmTrBc95C5u3QAmhku/dDFkVRlmWr1er3+zPH0jMLf6jvJRgMbtu2LfP2b7nllr6e9ppWisCdXpokSSrDHgYquVwu6kkv6OzR0qVLGYZZvXq10WgcMmTIsmXLTp48uXPnzpxX1hy4q59bp5O+CNwBAABgIBC4AwAAgBa0Ld5AAne32515IQUc6gPu6dOn+3w+j8cjy3I0Gm1ra3v33Xc1LKYva9asaW1tLW7gTlP8VRu40/mASq9iQJQTBtRZodLcuXPdbjcVymem872HwfPMdDO5IuzMeynuc9tvFp91YdaYOZPrnEHmaH/OYf/Muf5UhkQiEYvFIpFIR0fH5Zdf7vV6GYbp7u6eN29eER9yTSt6pYwSuBf3ZgfCYrFwHKft1MIjjzwyf/78MWPGOJ1Os9m8ZMmSP/7xj4cOHcq6Gm3KqiENp91W1Ryo0+lkWaaPcAEAAABog8AdAAAAtKBt8bTl0VRdYrPZMi9MpVLqJ9znzp07aNAgjuMikUg4HC5Kh0xORZ9wL/ptFhFNuF999dXVMzOr3kBq1nfs2JH/Crt3725ubv7000/Xrl3b13Vmz57dV++8MkSvJPV5UntF74A+85Ks2fk88/VZRfaZzTaZg+eJRCISiQykvGXWrFlz5849fvy4skLNN3UumTt37vTp04s+4U7n7aoqcDeZTANpq6fPJz355JNut7upqclms/3qV7/asmVL5nV4nteWhlNRTCKR6PealOmruSYAAABAX6r0/R4AAABUuY6ODjnX3qdqpNNpg8FgNpszL6QMpd8bvPnmm2mTPSov7qt5oCg0P8C+VP+Eu06ns1qtlV6IdiWqxFGT5r/yyiuluOsaQkPESikNAnficDhUbtdZEHppKnqOPxAGg4EqZQZyI8uWLWMYZtWqVVarddiwYY899tiXX3751ltv0Xc1B+40t64+cI/H44XeBQAAAICi2ms6AQAAoDpt3LiR8uirr7660GPT6TTHcVSqq6CAI38YPW/evKamJp1Ol0gk2traSpq2M31s7joQlI5VbU86nQ/IOhFSKyjnLVElDmXHtd63U2pUfo3APQv9hSp6Mk4vI1U14a7X64vVVv/oo49+++23DMN4vd6LL7743nvvpcs5jtM2fk6Bu5oYned5SZJo02wAAAAAbTDhDgAAABpRHp1Vxa4GBe40D6uggEMQhCuuuKK1tTXrkBkzZrjdbqPRKElSOBwuzzQxdc0X8QZp9rOaJ9xZls36udSW0k24l+7GzxnUB6VsporAndBfqKJPuNPLSFVNuNMvQLEeKdU3LV++3GKxDB8+fMmSJZ9//vn8+fMlSdIwfi4IgsoYnQL3SCSiZdEAAAAADMNgwh0AAAA0ozzabrcXemAymWRZlkp1FYFAoK8Ef9asWT6fTxCEeDze1tZWtu4O6jQv4g1WeeBOE+5ZP5daMZAO935RiIzAPT8qOcGEexYa/C964E6z3tUWuBe9PGfp0qVtbW0cx3m93vHjx3Mcp238nGL0UCjU7zXpLgKBgKb1AgAAADAMAncAAADQjPY+tVgshR5IhQCUQymGDRtGAXdmh/i111579913W61WWZaDweDLL7+slPmWAT3AiRMnFusGU6kUwzAcx1122WXFus0iosA96+dSW1ApU0EUuCslJwjcSYkC9yqccD916hTz/atcEa1bt27x4sXxeLyrq4s2ZdUwfk6Bu9/vz3+1yZMncxwniuKZM2e0rhcAAAAAgTsAAABoJYpi7yp2NWKxWO9gNx6P04S7kuDffvvt5513nl6vT6VSnZ2dr776alGWrZ4oijzPu1yuYt2gErhr+FhAGVB4R70QNaekE+4lvfFzBkXAmHDPQu3hJZpwL/rNDgSV52jY0VSNxx9/nLafFUUxEAhMmzatoMNpbn3fvn35rzZ69Gi6iyNHjgxgsQAAAFDv8LYBAAAANKLAXUPldzgcZnoFu5FIhCbc6QZbWlpsNpsoitFo9Pjx4wcOHCjWstWjie/MifsBotF+juOqc2PSdDrNsmyNBu6kpJUymHDPjwJ3dLhnocH/os99029jVU24UxtViQJ3hmEsFgtNuF9yySVjx46dO3eu+mNpbr3fqymZ/gCWCQAAAIDAHQAAALRKpVIcx2mo/O7q6mJ6Be7d3d1U4WI0GltaWsaOHUtFujt37vz000+LtuhC0BmFIobjiUSCTipo+FhAGdC0bI0G7iVtfcGmqWpgwj0nQRBkWS56DF2FE+40y1+6wN1oNFIaHovFLBbLiBEj7r//fpXHchyn5rmiTL+qnlUAAACoRXjbAAAAABqlUilte2yuX79elmUa/My8kAJuZUyyo6Nj//79RVtu4WjiW8MIf1+oeljbWYoyoMeb9XOpFWXYNBUT7vllTrgzCNy/R09L0WNolmWrM3CPx+Mlun162Uyn00899VRnZyfDMA0NDYsWLep3m43FixerjNHp1b7oH0cAAACAeoPAHQAAADSiCEnbHpu9A3eGYSRJUrrdT5069c477wx8kQNBZxSKGLh3d3fThHt1bkxKP9AaDdwJJtwriGau6W8xk5G81zmacKc6qSKiZ7uqomF6pLFYrES3Ty+b1PeyevXq48ePMwzjdrvHjRs3derUPAdSUYyawJ0y/ap6VgEAAKAW4W0DAAAAaJRIJDRXfkuSxPN8S0uLcsnMmTNpwl2v1x87duzjjz8u3ko1osC9iOH4tm3baBAbgXvRlbRSBhPuatAJCfpBoMNdQcl40ee+q3DCnQL3aDRaotunf2uUh7x79+4nnnhCFEWHw3H++effcccdfR1IG3GridHplbl0rTgAAABQJxC4AwAAgEYUrGgL3GVZ5nne5XLRH++6666TJ09W26addEahuOF4NU+40+Ot3cAdlTKVpVTKoMM9E8/zRZ/7vvXWWylwr6pomOd5SZJCoVCJbj/n9rNPPvlkIpGwWq1Dhw6dPXt2zgNpzww1gXupa+gBAACgTiBwBwAAAI2CwSCjdSBaFEWe551OJ8Mws2bNyvwgf/UE7jSUWvTAvapOKmSiTJBi05pThgl3VMrkR88POtyz0IR7cWNon8/HsqwkSdVTfjJ58mQK3Ds6Okp0FzRB3/shP/PMM6FQyGg0Dho0aO7cub0PVPYFUXkXRe//AQAAgHqDtw0AAACg0VNPPZWzil0Nao+xWq0tLS16vZ4yFKpwqZ4J62g0WvRwnAL36nmMmegMSo0G7gSVMhWkBO40fI0Od0IxtN/vL+JtWiwWepKrJxoeOXIkPdKPPvqoRHfRV+DOMMyKFSv8fr/BYGhqapo/f37Wd/V6vcrnqtQ19AAAAFAnELgDAACAdtQMM2nSpEIPpMDdbDaPGjUqEol0dHQcO3as2jrEA4EAU+z1UBxZPY8x09atW+kHWumFaFHSfU0RuKuRtVcqJtwJTbgfO3asiLdpNBppwr16Ane73c5xHO1oWiL0TPY1qL5+/fru7m69Xt/Y2HjPPfdkfouKYtTU6NM5g9LV0AMAAECdQOAOAAAA2tHep0oVu3qpVIrjOJPJlEgk2tvbDx06xHxf4VI9YfSaNWs0j/D3hQL36qyUIbUbuLMsiwn3CsqqlMGEO6FkvLi3SR0ppdiLVTOz2cxxXEl/6NSGn+ccw8aNGzs7OwVBcLvdd999t3K5+t1c6SGEw+HirBgAAADqFQJ3AAAA0I4Gom02W6EHHjly5K233vrqq686Ojo++eQTupACEZ7nW1pairzQAShF4F7NoXY1ry2Pkna409wuAvf8aABZqZTBhDuhp6W4t6nX6ynHj0Qixb1lzWjovtQT7v0O9W/evLm9vZ3nebfbPW/ePLpQEASVzxUN6Re3/wcAAADqEAJ3AAAA0I72PrVYLAUdddddd/E8n0gkOjo6jhw5olzu9/spwfd4PMVeqUYlmnCvnin+LLIs1+jWoKXeNJVl2Rp9ZsoGlTI5lWLCnT4iI0kS1V5VA4PBwLJsOp0u3V3QqYt+C9ZfeOGFjo4OQRA8Hs/s2bOZ74tiaI+KPO644w4K3Pft21e0RQMAAEBdwtsGAAAA0I6q2E0mk/pD7rzzTpZlI5FIZ2dnVvn78OHDNY/Ml0jRO82rfMK91jvcMeFeQXRCQhTFrOS9zpWiaIXO2EmS9Omnnxb3ljXT6XQlDdxnz55Nz6SaQfVt27b19PTo9Xqfz3fXXXfRgWfPns1/1ODBg0s9pA8AAAB1AoE7AAAAaJdOp1mWNRqNKq9PI4TJZLK7u3vRokV6vT7zu7FYjAJfs9lcgsVqQSX1RbxBSnOqOdSu0Tnukm6aisBdjcycHZUyilJMuCuBe3FvdiBo6L50gbvP56M0vN9BdbJly5ZgMGgwGLxeL82tHz58OP8h/4+9Ow+Pqr7bx3+fM/ueyR5AECgqauta+1hrJVVcq3UpLigKqKgorlUUt1ZFRdkUQcQN6y4uiD5aQIt92j7f1tZW29qqrRuLCISQfTLbOb8/3s+Z3ziTTCaTc5ITuF9XL6/JZM7JJ5OF5j7vuT/hcNjqIX0iIiLaRQzKP6iIiIjIJlKplKqqsoNfj8455xyn05lMJpubm6WHN2fv0Pb2dqk06dXIvKVMr1iR+V/bBu6DulLGuk1TGbgXI9PhLm/aKg4eQFYMTUvgbqtZbKsn3IPBoFy62LZtW5GHLFiwoK2tze12S+De4+P9fj8DdyIiIjLFoPyDioiIiGwimUwqipIzqN6ls88+2+VypdPp1tbW1157DV3Vo2/fvl3TNFVVix+Zt5pMuB955JFmndDmE+6DOnCHZZm4ZHAM3AuT52fr1q0AspN3Mv2pkF8gtnqGN23aBCCZTFp0frkKm06n16xZU/xR8+bNi8fj77zzzrp164477rjCD5Z/dxi4ExERUd8Nyj+oiIiIyCZkUL3HwP2UU05xu92pVKqtrW3lypUA1q1blx+4L1iwQErhixyZ7weyHhM3cZU0h4G76awO3GWC3oqT7zTkO0fGhMFNUw1WTLjLLxBbTbhLWp1IJKw7f2nPpNfr1TQtGAzuvvvu9fX1BR4p/+5Y9ykQERHRrmNQ/kFFRERENtHZ2akoSk4zTL5IJKJpWkdHx0svvZS5Mz9wh7GnqN0CdxM3cZX4SiMbAAAgAElEQVQJUFVVC0c/A0We/4FeRSlk2teixctXbZA+M/1GURRd1zOX32w1fz2ArOhwl2sbtnqG3W63rutyCdai86Ok8fNQKDR+/HhFUcLh8MiRIwt/CF3XrRvSJyIiol0HA3ciIiIqXXt7O/Kq2HOce+65AOLxeGNjY/b9sj9qTu4su7D2mOD3GwncTdzEVdIch8ORf7HBDjjh3iWJERm4FybPj3xjs1JGTJw4ERaMojscDl3XbTXh7nK57Bm4y29vaToKh8NnnHFGd4+Uf3es+xSIiIho1zEo/6AiIiIim2hqaupyUD3jrLPOcjgcslHqunXrst8l9ejV1dXZd8qeosWUwvcPuQBg4iaumQl3E6fmTTR4J9wtDdwfeeQR606+08gE7nKDgTuAqqoqWFALLlfFbNU2LoF7Z2enReeXf2VK+JTl9VIHHnhgR0eHx+OprKzs7tVFTqfT0k+BiIiIdh0M3ImIiKh0s2fPBuB0OruLMDweTyKRaG9vf/PNN3PeJcPj4XA4+07ZhdU+09+yHhM3cY3H4zJFbuLUvIlk01p71t0UZmmljGDgXphUymQm3NnhDiAYDFrR4a6qqt0m3CWt7ujosPT8JfS9eDweGb1ftGhROp0u8IvX4XBomsbAnYiIiPqOgTsRERH1iQyqRyKR/Hede+65kl/IRqk5JHAPBoPZd0rAbZ9KGVmPiZ3ysVgMgKqqJob4JpIJ9y6/mjZn6YS7YOBemDw/mQ2BOeEOYyvRXWHCXQLxtrY2684P4xVCvZLddTN37tw///nPALq8piiBu/SkEREREfUFA3ciIiLqE6liLysry7n/zDPPVFU1kUg0Nzd3eWAqlVJVNaetRWIR+0y4JxIJcytuWltbdV231caw2SRwt+f0fWGZCXfrxvMZuBcmKbAE7uxwF/JjbkXgbrcJd0mrm5qarDu/ruuJRKK3B0rgLlc6sx155JH5H0LTtNbW1tJXSURERASAgTsRERH1kUy45wyqA/B4PKlUqqOj46233urywGQymR+4y8v57RO4y3pMnLifO3cuAFVV7Ry4m9hZ32/6ocCEgXthUimT2XSXgTsAt9ut67rpgbs81SWMe1tk2rRpqqpqmvbiiy9a9CEkDS8hcJfR+8zcemYrkbq6upxHqqqaTqdzNvcmIiIiKgEDdyIiIuoTaYYJBALZd06aNEkyjgLTgl22tUgFsMPhsEmNuKzH3E1cJZS0T21ONtm01p4XAwrLTLhnKk1Mx8C9sEyljMTBtpq/HijyY256Mi7PsH0qZSoqKhwOh6VfcRnqL6Fgvcu59QMPPDAcDh9//PGZey644AJFUTRNW7FihQnLJSIiol0bA3ciIiLqEwnccxrJHQ5HMplsb2/PjBPmi8fj+dluc3OzdNREo1GrVtwb0odj7sS9VMqYG+KbRQJ3e66tsEzgbt3iGbj3iBPuOUpuHi9M0mf7TLjL3rCWfsVlgr60wD1nbn3dunWpVMrj8VRVVWXurK6uVhTFPtcwiIiIaFBj4E5ERER9IlXs2YH7pEmTNE2Lx+Nr1qwpcKBEJznx6IgRIyRwD4fDFi24V+bMmQOzA3epbbHzhPugDtyte2IZuBcmz48E7uxwF1IgbtGEu30Cd5/PJ30s1n0ICdzlJUclHJgzt37fffdpmubz+U488US5JxwOM3AnIiIiszBwJyIioj7Jb4bJjLcXPvCll17Kj0djsZgMydpq307TJ9xVVbVPT322VCpl24sBhVkduMvrEqw4804jp8OdlTLow1afBcyYMUPGyc09bV94vV5FUaz7il9xxRXyKZewo2l3VwKSyaTb7Y5EIvKmz+dj4E5ERERmYeBOREREfSKBe2Ym+rzzzkun0/F4fPXq1T0eq+t6Tjza1tYmu7DaZ99OXdetmHC3beAOUzeJ7TeZwN2eT+yugBPu+WRHgXg8buI5pb9F13VzT9sXbrfb0rQ6EolI4L5jx47eHquqapcLW7JkiaIofr//mGOOASAv0rLPiwaIiIhoUGPgTkRERH0ioU8mcJfYpZg5xHXr1s2ePTsnHm1oaNA0Lb8UfgBJxY2JJ7Rz4C6XTwZv4A4j4rQCJ9wLy55w56apQibcS2geL0B+N0ptl4mn7QuXy2Vp4B4IBGSC/tVXX+3VgT/72c8KLEzTNLfbXV5eDkBepMXAnYiIiEzBwJ2IiIj6JBaLZSLaiRMnSn9C8cnLI488kv2mVOsqimKfwF0m7s09IcyuqTGL5E32XFth/TDhzsC9sOwJd7BSBoARuJfQPF6Ax+ORce9YLGbiaftCfv9bF7iXXFkjjTHdLaylpQWAz+err6+Xtn37tPQQERHRoMbAnYiIiPqkra0NRkTrdrulT2bdunUlnzCdTquqap99O3epCXfJm+y5tsLS6bTUrHPCfQDJl0BG3Rm4A3A4HKU1jxcgvxt1Xe9xn4x+s2HDBkVRrBsPl/HzEgJ9GY3vbmFPPPGE1JpFIhEJ3O3zogEiIiIa1Bi4ExERUZ80NDRkqtgl2uhtDFRfX5/9Zjqdzi6FH3BScZOzyL6QT9C6XLgvJG+y59oKk3jXuieWm6b2iJum5lNVVdf15uZmE88p/S2apjU1NZl42r6QLTesGw+Xfw5KCNx7XFgymXQ4HH6/3+l0ml7+Q0RERLssBu5ERETUJ/PmzZMZ8Pr6ek3TOjs7+zLeDiCVStmqRlwm7qPRqFknlPITe4ba0n0xSCfc5YY9n9hdgVyQkP/qum5dwcggIoF7H38l5pDfjZqm/frXvzbxtH3h8Xgs7WMpubKmx4UtW7ZMVVWPxyOBu31aeoiIiGhQY+BOREREfaXrutPpLC8vT6fTvcpcrr766vw77Rm4h8Nhs04on6A9c2EZxbXn2grLTLhnJqxNxwn3HmVvmsrAHYCqqpntfM0i18NMP21fyK9r6/pYJA0v4TtKRuMLL0z+/ZKvlH1aeoiIiGhQY+BOREREfSXbikYiESlwL/7AVCp13XXX5dxptxpxCdwDgYCJJ4RdQ+0HH3wQdl1bYexwH3BSKZN5lhi4w3hOzD2n/G60VWOP2+22tI9FPuUSOuKlmb3w3HpnZ6eqqg6HI51OyzaqRERERH3EwJ2IiIj6SlrOg8FgKpXqVbqUSqVUVf3BD36QfWcikbDVhLssUrqAzTohAOsGsftuMAbumTDOoieWHe49kucnM+Fu3Raag4gVE+7y42mrCXer+1jk/CVU1jidTk3TpCmrO/F4XF4Zo2na1q1b+7BMIiIiov9j37/0iIiIaLCQGXC/39/bAvdkMqkoitfrzb5TxiTtk/lKA0zOIvtCgkhpvTfrnCaSRv6BXkWvyWUM23b17CIylyUYuAvZ3dTcc8p3uK0m3CXXtq6PRarwSw7c29raCjzmqaeeUhRFUZR0Ov3aa6/1YZlERERE/4eBOxEREfWVBO4+n6+3GZAMs3s8nuw729vbpVTXJnl0l4vsCwkiZac+s85pLjtP33dHwjh2uA+gnEoZwi4TuDscDl3XretjcTgcmqaV0BEvBzY1NRV+WGVlpaqqLEEiIiIiswy+v6aIiIjIbqR0xev19jawkNfy5+TOmX07I5GImasslSS5svmeKeLxuOwtGQwGzTqniQbphHtnZ6fUGTFwH1iZCfdevdhlZyVz0+aeU8a97Ra4a5q2efNmi84vn3IJHfFSFLNp06bCD5NfxQzciYiIyCwM3ImIiKivpBnG7Xb3tkRCqnVz6tpHjBghmW84HDZzlaXq7OyUz87EEwIwtxfeRHIxYKBX0WtLliyBlZUypm99ufORCfdMh/tAL8cWrJhwl2fYPoH7FVdcoapqOp3+9a9/bdGHkNy8cBV7dwem0+ker/34/X5FURi4ExERkVkG319TREREZDdSulJCJN3a2oq8wD0Wi0lsFwgETFtiH3R5VaDvJ5TXBJh1TnMNxsA9gxPuAyi7w32g12ILVky4S3+LfQL3SCRixd6wGeeff75ctyihI14C9x4fJq+y4q4DREREZJZB/NcUERER2YSMbJcQuH/99dfIy7Lb2to0TZNdWM1aYV9IMbGJgXtDQ4NcUbBnh/sgnXCHkfYycB8o7HDvkulJtDzP9hnHDgQCRebapamqqpLz91jFnuOSSy4pcm5dfhWXsCkrERERUZcG5V9TREREZCsdHR2KopQQSS9ZskT2R82+c9u2bRK422QA/O677549e/Zzzz1n1gkfeughySXtGbjLkz/QqyidRYvnyHYxOOGew6IOd9ipcNzn81kauAeDQZlwX7FiRa8OrKysLDJwd7lcuq4zcCciIiKzDOK/poiIiMgmWltb83PzIuUfuGjRIsl87ZlHm0KmyE2cmjfRYJ9wt27CmrPbhWVPuDNwBzB9+nRYkIzLDqL2CdzdbrelBeiy10UJgb5shVpMUYwE7vF4vITlEREREeUblH9NERERka1s2LABgFmBO4B0Oq2qqon7lNqN5JL2/AQHeyuIdRPug/pp6TcM3DNCoRAs2N1ULmzYp3BcAnfrJty9Xm9pgb5shVrM3LrT6dR1XbrRiIiIiPqOgTsRERH11cMPP1zyhLumaQ6H46STTsq+M51O2zaPNoVMkZf2jFlt8FbKWN3hToVxwj2HjGabPvptt8BdXqlj3XrkH4ISAn2v11tkUYzD4dA0TbazJiIiIuo7/kFCREREJpDcvKqqqrcHyjB7NBrNvjOVSu3cgbumaaW13vcDWVt9ff1AL6RE3DR1APF1ANlkFworAndN0+wWuFtXKSP/EJRwfjmwmKIYCdzb2tpKWB4RERFRPgbuREREZAIJ3CORSG8PTKfTDodDuhcyJHC35wC4KSTUtucnKGuT4dzBxdIOd45sF4MT7tlKTooLuPjii2XC3T47fG7atAmAdeuR35MlXGCQZvZiimJUVdU0rbm5uZT1EREREeVh4E5EREQm0DRtxYoVgUCgtwdKe4zf78++U7Ibuw2Amzj0bfPAXVVV2W9wMOKE+0BhpUwOK7pWwuGw3QJ3GeS3NHAvrUJHAvdYLNbjI1VVTafTGzduLGmBRERERLkYuBMREZEJVq9e7XQ6P/jgg94emEwmVVXNmadOJBK2zaNNoWkaSt1m1mpyCWSQTrjDyk1TrTjtTkYCd13X+XTBCHzNDdx9Pp9Uythnh08Z5Ldh4O50OjVNa29vL/ywGTNmSODOb1oiIiIyCwN3IiIiMofT6SwhpU0mk4qiyIxkhmRJ9syjTSET7g6HY6AX0gVZW85XZFCwtFIGnHAvQiayZHaJPnShFOD1eiVwL2Zwu3+43e4im1tK43A4Spvol2b2lpaWwg8rLy9XFMW6DnoiIiLaBTFwJyIiIhNomuZ0OktIaePxuKIoHo8n+8729nZd1x0Ox+DdurMwmSK35xUFWVvOV2QQ4YT7AGKlTDYZzS5m087iyTh5MYPb/UY+TasD9xKeRgnct2zZUvhhUp/FwJ2IiIhMxMCdiIiITBCLxRwORwkpbWdnp6IokiJlNDU1AcjfTHWnkU6nAdhzwl2Cp5yvyKAgIS8n3AcKO9xzlJwUFyC98Lquyy9JO5DmnI6ODovOLzualvA0SlHM66+/Xvhh0tLDwJ2IiIhMxMCdiIiITHDYYYepqupyuXo7ky4xTU68u/vuu8uEeyQSMXOVtiGBu3Xbe/aFTLjbbcfaYkjaywn3AcTAPZsE7uaOfrtcLkVR0un0unXrTDxtX8ggeWtrq0XnV1W1yL1P8w+U37SFyXXiRCJhn6eUiIiIBjs7/plHREREg05nZ6dUyvR2yF3mNHPi3VgsJoF7IBAwc5W2kUqlbNvhLmsbjIG74IT7AJLdgMHAHYARuJtbti49VJnn2Q4kcN++fbtF55cJ9xIqdIqcW//tb3/7xBNP9DgIT0RERFQ8Bu5ERERkgo6ODk3TPB5Pb0tgZs+ejbz9Udva2jRNU1XV7/ebuUrbkH0U7Rm4y9oGY+BuaaUME+RicMI9mwTu5o5+2y1wnzx5sgTuq1atsuL8V1xxhUz097j3aY5rr71WVdViAveSK2uIiIiIusPAnYiIiEzQ1NT04x//2Ol0+v3+3rbK6LqeE7hv2bJFAvcSdmEdFCTUVlXVhrvCvvTSS7bd0LUwqytlOOHeI3mWdF1n4A6jC2XlypUmnlOu0hXTlNI/qqurJbC26PyRSERRFE3Ttm7d2tsDUcRWqKeeeioATdOs2/SViIiIdkEM3ImIiMgEd9xxh2RtXq/X5/P16tj8wH3x4sUSuJewC+ugkEgkdF1XVbW3z1X/mD179po1awZ6Fb1m9aapVBg3Tc0hgbu555TA3T4T7qFQqMiq9NIEAgGZcF+7dm2vDpRXRyUSiR4fput6jw8jIiIi6hUG7kRERGQOXdc1TfP5fOFwuFcHaprmcDhyZr3T6fROHLhLfYHD4QgGgwO9lp2H1ZUyjPJ7lMmXGbjD6Cox95xSU2OfCXe/329p4C4vcirh/HItU15LVIDD4Uin0+b27BMRERENvhcLExERkT3puj5u3Ljf//73oVCovr5+3bp1RR4ogXtFRUX2nel0WlEUt9ttwUp7bd26deZ2v0i+Y88J90MOOeTdd98d6FWUQkJeiyplrFZfX+/xeDwej8vlchocDocErAD0PHJnMplMJBIdHR2dnZ3F/9BZRNM0TrhnFNkh3it2q5TxeDwygW7p+Ut4GuVibeFm9rPOOsvj8aRSqY6OjtKXSERERJSHgTsRERGZQ3JzRVH8fn9lZWXxB6bTaYfDIZW7GalUSlGUwbh1ZzFaW1szDTwDvZZczc3NN9544yeffDLQC+k1eUr7Z8K9vr5+6NChkUgkEAj4fD632+0yZLJy+a+qqvJf6ZdXDNm3AVx//fXIGs/Pv9HlkmAUucjt1atXIyuah/G6E/nvfffdJwdOmzZN07R0Op1Op1OpVDKZlNQ+kUh0dnbGYrGOjo7W1taGhoY333yzt89Szo1dmXxpzD2n1NTYLXA3/bpChlxzLeH8brdb1/XCzexSZcb2diIiIjIdA3ciIiIyh5TAtLW1BQKBSCRS/JB7Op12u9055SrJZHInDtznzZu3Zs0ae3bmLF269K233pJB2sGl75UyZ555ZkVFRTgc9vv9Pp/P6/XKyLnb7XY4HG63+5VXXpH0/Nprr80k5jJTn/m4maQbRvaNrubT0+m0pmlSOdLdYzJxbfYnlXO7QI4vXC5XznWImpoaeTP/ucr56KtXr04bUqmUpPMSzcfj8c7Ozra2tubm5q1bt/r9/rPPPlsm3LlpqpDdPs09p3yzWRdw95Z8d1m3HvknoITzu1yuwoH7hAkTAoFAKpWSxwz4q0OIiIhoZ8LAnYiIiMwhuXl5eXkikfD7/dFotMgDU6mU1+uVPe4ypHt3Zw3cAcimqTbpzMm3UwbuU6dOLS8vz87TM5PpMo1+7rnnZgLrzDlltl3CcafTmU6nk8lk9my4iMfj8Xg8Fou1tbVt3br12Wef7adPu2hHH310/p2XXXZZWVlZIBCQqwtut9vtdjuzOBwOl8vl9XpzRvKFzM5nrhzstttumfsffvjhjo6OTCK/fPnyfvksbcSKDne7TbjLr+geq9JL5nQ6pTeptAPb29u7e4DP59N1XX5s+7ZGIiIiolwM3ImIiMgckpt7vd6WlhZplSlyyF2G2XPazCUEkZf875QkxrXnFQVd1wd14H7rrbcGg0FJ1d0Gh8Nx2mmnSWqcebxklzJsnkgkZHxbZrfb29ubm5vXr18v0fmLL77o8/nmz5+/k03CPvDAA709ZOrUqXV1deFwOBAI+P1+uW4hMb3H45GfXE3TxowZA+NJ1jRt9erV2QPyUlzT3Ny8ffv2L7/8cuXKleZ/bgPNinJzCdztM+G+YcOGmpoaewbumqa1trZ2+d7TTz/d7/enUqnm5uY+r5GIiIgo1077RywRERH1M2ld93g8999//6xZs0KhUF1dXTEHJhKJ/HIVeZn/YIx9i2TzCXebbz3a5R62F110EQBFUf7nf/5H7vnZz36WKSvv7OyUMF0Kyrdv375gwYLiP6I+mHdkNddjjz2Wf+e11157zDHHfPjhh6NGjQKg6/qrr75aU1MjNfeZch6/3x8KheSyhzyl8gV64403MiXy8gVqamratGnToJ6Lt6JSRi4XWRdw95ZcKLVuPbJpcCKRKOFATdMaGxu7fK/H45HCGVn5BRdc0NeFEhEREWVh4E5ERETmSCQSErgDaGlpCYfD0Wj02GOP/dWvflX4QBmJzQncpQrA6XQW3wU/uMiEuz1H+O0z4T5+/PixY8dWVFREIpFXX3218IPzM/ETTjjBrJXI18u2F0gGnHwnZ5fRF76ecfnllw8dOjQajWZ2nfX5fMFgMPONlx3Ey2WS9vb2pqambdu2ffLJJ73dzXWgWDHhrmmafSbc5fd2CYF4kUoO3FVVTaVSL7zwQv67zjzzTJ/Pl06nd+zYIffY5wIGERER7Rzs+DceERERDUbxeDyTSD7wwAM33HBDIBCora3t8cBYLJYfZdbU1ABwOByBQMCiBZfAxPRfCsFtWynT/6Pc9fX1++677z/+8Q95c8qUKR6P5+KLL3Y6nTLVe80112Sa0yWBbWlp2bZt29y5c+WQp59+GoCiKFZcoZEo2Z4XSOxAgnLZNBXG01XA/fff3927Zs2aVVNTI5U10lIVDAarqqpkKF7i5lWrVmVerLBjx47NmzcvWbLE3M+o76yolJEnwT4BsdvtLrw3aR9J4F7C+VVV7e7J93q9uq7HYrG33367vr7+xhtv/Pzzz/u8UiIiIqL/H/9mICIiInPEYjFkbXN611133XjjjeXl5T/96U9ffPHFAge2tbUhb3/UeDwuc9aRSMSyJQ8kiSbtGeD2Q+B+8sknjx49uqKiQrYw9Xq906dPd7vdmcA9FAolk8mOjo5YLCbB+pw5c3pcds6WniZaunSpFafdach3cqZBpcfAvYA777yzy/vvuOOOysrKUCjk9/vdbnckEikvL5cAOjMLH4vFpHx/69atH330UY+virCaFYG77Ddg7mlL5nK5LA3cZaLfxMB90qRJLpcrHo+vWLECwNSpU2HlhD4RERHtmuz4Nx4RERENRvm5ua7rMuQ+fvz4tWvXdndgQ0MD8gL3WCymaZrD4QgGg5YteSDtUoH78ccfP3bs2MrKykgk4vf7PR7POeec43A4JByXufVYLNbU1CSPL21EPbNpqokrpyLJhLtc85A5dNM/xE033ZR/5+23315dXS2XbTweTzAYrKmpkQWMGzdu5cqVsVisra2tqalpy5YtH374Yb910UydOnXixInmBu7nn3/+6aefXlrFikVkU1O52moFaYbp6Ojo1VHTp08/5ZRT8ot3zjjjDL/fn06nM5upygUDqTUjIiIiMosd/8YjIiKiwWj79u34ZufGnXfeecstt4TD4REjRhQoY1mwYMHatWtzAve2tjaJfWVTvp3Pzh24T5s2ra6urqysLBgMer3e8847T5phZOw0mUy2t7e3t7fv2LFj/fr1Dz30UObACy+8sOQPKiEvA/cBkamUkTf7MuHeKzfffHPOPZdccsmYMWMqKipCoZDX6/X7/dXV1bK2H/3oRytXrmxvb29paWloaFi/fv3DDz9s0cLKyspg9oR7WVmZ3SbcJXCXq62mmzp16hlnnKFpWiYfL1JFRYWiKPnFO36/3+FwtLe3r1q1Su6R9Vs3oU9ERES7Jjv+jUdERESD0dy5c9euXZuTIN9222233nprNBodMmRIgWN1Xc85cPPmzZqm7cSBuyRxNtmbNEcJgfuMGTNqamoikYjsgTl+/PhMAptMJmXKuLGx8ZNPPnnqqaesWbW1E+4XXnhhNBqVmnjKJ98wmQ53Kybci/Tggw/m3HPZZZeNGTOmvLw8GAy63e6qqqqamppvfetbBx988Kuvvpr55vzqq68WLlxo1jJk8wlzdzf1+/3yAgL7BMQOh0PTtMxrU8xVXV0tFxgaGxt7deDvfve73/3udwAmTZqUufPcc891u93JZDJ7J1WrJ/SJiIho18TAnYiIiEwjrevHH3/8G2+8kbmzo6PD5/PV1NT85Cc/6a5SWQ7Mvmfp0qWvv/66w+HweDzWLnqApNNpRVHsGbjLpY7Cj7n88sslYZcqj8MPPzzTpi2NDS0tLV999dX8+fP7Z82weMJd0vz+30t2sMiecNd1vd8m3IvxwAMP5Nxz44037rbbbtFo1O/3R6PRioqKESNG7LfffqtWrYrFYq2trY2NjRs3biyws2uPvF4vzA7c5ZyaptknIJbAPTvCNlEwGJSNZzMD6SU7++yzfT5fOp1ubm7Ovl/W39vKGiIiIqLCGLgTERGRaaR1vby8PPvOe++996abbpJimWOOOWb16tXdHXjUUUe99dZbmTvT6bTT6dyJA3fYdcJ9/vz5V155Zc6dF1xwwbBhw6LRqMyw/+AHP5BoO5VKxePxpqamxsbGjz76aABnwC2dqpZ2cnt+vexAVdXs6nZbBe75Zs+enf3mJZdcMnbs2PLy8kAgEAqFotHo8OHDv/3tb7/66qsdHR0tLS3bt2//8ssvs7uPeuR2u2F24O7xeGTi26IKl9669NJLjzvuOOt+7nw+nwTufTzPGWecEQwGNU1rb29fuXJl9rskcG9paenjhyAiIiLKxsCdiIiITCO5eSgUyrn/jjvuuO2228rKykaPHt1lmbscWFlZmX1nOp1WVVVyq52PnQN3AAsXLly4cOF3v/vdysrKcDjs8/l+9KMfORwOXddTqVQymbRDwp4jUylTYMOAPp7ctl+vAWefSpkS5LTQTJ48+YADDqisrAwGg2VlZRUVFSNHjtx///1feukl2Xhg8+bNf/zjHwt/j8kvrvwa8b6QjS7sExBHo1FVVc39HLP15VUCs2bNev/99wH8+Mc/rqmpAdDZ2Zk/ia+qaiKRkI27iYiIiKg6JmQAACAASURBVMzCwJ2IiIhMIxG5lBfnuOWWW26//fby8vIxY8bk56Fy4JYtW7LvTKVSiqLkbKa605CUym4Bbn19ffabBx54YGaTxubm5h07dnz22WePPPLIQC2vsEyljBWtMqyUKWzVqlXS+3HIIYfYrVKmt5YvX5795tVXX/2tb32rvLzc5/NJ//see+xx6KGHPvvss8uWLZPH5IfvLpdL13WLAnfTryeVJhAIyDbIFp3f7XYrilJC4H7hhRdmmu6rq6udTmcymXzmmWfyHykT9K+88ooJyyUiIiIyMHAnIiIi00gJTHfbnDY0NFRWVlZWVuaHUKlU6rTTTsM3C7hld82dNXCXFMkOAW5OyJ5NOjRsku71SNM0KX6x4lURcmY7fL0GhcE14V5Yzj4Ed95555AhQ8LhcCQSkXuuueaaF154oaWlZdu2bZ999tnDDz8MQHaBTiQSJq7E6XTKBTATz9kXZlW+dMftdstLanp7oFzt6OjomDJlimyUun379vyHXXPNNccee6x16yciIqJdFgN3IiIiMk0qlfL5fNIDkO++++6bOXNmMBgcMmTI5MmTly9fXngSOZlM2mfCfd26dQWC6RJIEudwOKzoP+lRkZ/LYInaRWbC3YrvGVbKFEn2zrVPKGy6WbNmZW7fe++9ANrb230+XzAYHDp06D777CPhu9Pp1HXd9MAddrqY8eqrr8o+2GeccYYV55fPt4TA3el0apq2efNmj8eTSqWampq63K+7rKystAl6IiIiosIYuBMREZFpJCLvLnAHMGfOnJ///OfBYPCJJ5544oknCp9typQpckP6AcxcqA1IEqeqajAY7J+P2GPInonXzb200G9kUtWiwF1STk64d+f0008fPXq0fAsN9kqZ4uVckcr84Fx33XXbtm2Lx+Pf/e53M3f2/fKVXO/ZdSayJXAvoZbH4XA899xzHo8nnU63tLS8/PLLXT5M2s8YuBMREZHpGLgTERGRaRKJROFCj5LLtWVsttR12ZH0C3dXeW+WwtH54Bpg71Fmwl1yOnOxw70weWYyWbB9prD7U/YPVP6PXvY9pf3oydT8LhW4l/YqgZdeesnv9wNobm5esWJFdw+Ta8PWbfpKREREuywG7kRERGSaeDzeXeDeZdT+MqAAzwCTABXQACdwfDcn38ky9/b2dl3XVVXtrvK+L3apnD0jE/IycO9/8gOuadpOXynTW122UZU29i7ffvZ5bqdNm1ZVVfWf//zHovM7HI4SAvfJkyf7/X5d19vb259//vkCj/R4PDC7Z5+IiIgIDNyJiIjIRB0dHcjb5rTLqP0F4HQAgA6cA2iACijA8cBq4BjgHWBc3lE7U+be0NAAQFVVCX36btcM2bNlKmWsaFrnpqmFyTOzceNGeXOn+Tkt2fTp0wOBQM62wwWS92Aw+NprrxU+p90qZTZt2lRVVWXdhLjD4dA0LR6PF3/IlClTfD6fruttbW2y7XYBcm2YgTsRERGZjoE7ERERmaa1tRVZgXuXUfszwETgdOBFeQwAwAEogMRIMr05DngbODLv8J0mc1+2bNmaNWsURelj4F4gZ98VQvZsmcDdigl3drgXJj+Y4XAYACfcAaiqqut6zl6d2T+Sd999d11dXSgUcrlcuq7H4/HHH39827Ztn376qcT03Z3TPp3jUsliXWAtn6+0bxVj6tSpXq9X1/XW1taTTjqpx8dnnvm+LZOIiIgoFwN3IiIiMs2mTZt0XZe4MzttXw5MNm5PBJ4FzjKidh34ifGu/zbG2wGsBY4E3gSOy/soO03mLpUyBSrvC2DOni+dTss3hkUT7ujDJgQ7PbkU4Xa7M90yA72iASZhcYEHXH/99XJjxowZ++67bzQaraioqKysHDNmzNNPP719+/b169fPnTs355yw04S72+22NLBWVVXTNHnhVI8uuOACv9+fSqVaWlqmTJmydevWHg+RwL34QJ+IiIioSAzciYiIyDRLly5du3btxIkTJ06cmLnzMWAy8EtAMSbZFWAFcBoA4GVglRG7nwD8CgDwCtACoKu0XQxg5l5fX29Woi0tJcUH7gzZC5PJX+sqZcAJ9+5Jzp55dQsDdwmLi3nkokWLMrfnz59fU1MTCASCweCwYcOefvrpHTt2bNq06a677oL9Jtzld5elgXsqlWpvby/8sFNOOaW6utrn82ma1tzcvM8++yiKUkzRjVTWxGIxk9ZLRERE9H8YuBMREZGZjj766MztZcA0YCoA4FzgSWAi8AzgACYALwIOIAUogAt4GTgVSAAvA07gROMka4Cj8z/MTkHTNFVVcyrv8zFnL5KlgTsrZQqTa2DyzcxKGQCqqpYwin711VfLjVtuuWXkyJGhUGi33XYbOnTos88+29TUNHToUFsF7i6Xy7rA+oorrjjhhBPS6XRTU1OBh5155pm1tbVOp1Me+eyzzy5YsABA8YF7W1ubaYsmIiIiAsDAnYiIiKxwP+ACNOBhwAlMAZ4AJgFPA6qxXaoEck5ju1QNeB34MbDGKHNHNzXuYicolpFKme4Kx5mz95ZEbBZtbappGjdNLUCemcylDgbuffwFddttt8mNmTNnjhkzJhKJDBkyJDPhftNNN/3+978f8N8DTqdT1/UeJ9BLE4lEFEXRNG3FihXdPWbSpEnl5eUOhyOZTG7duvXll19Gb5rlJXBvbm42cdlEREREYOBOREREJso0XF8OLDFa2qcAy4HzgF8CACSCWgEoRtSuACcYZ3gdOBpYC/wKCALSrfsbIA38qKsPN6gzd03THA5H/oR7fX39ccd10aYz4PmazSWTSXa4DxR5ZhwOh/xUMnAvvlKmsDlz5siNGTNmHHvssbquJ5PJAw44YOzYsYsXL964caO0zQwICdxbWlqsOHkgEFAUpcCrBKZOnSqhfDweX7ZsWeZ+2Ya6mKIbVVWTyeSWLVtMWTARERFRBgN3IiIiMtl8wAMAuBgA8Jhxv5b13wl5R/034ASkztwJjAdWAuUAgBRwJLAOyB/5HtSZuwxNZybcs0fa33zzzcxt5uxFks0PrZtwBytluic/iXKpQ9d1+2zsOVAKh8UlWLRo0ZtvvimB+7Zt26LR6JAhQ2pra5988skdO3bk77DaD2RCvJjtSUsgg+pd9uecdNJJdXV14XBYUZSWlpZHH300+72ylWuPW6GeeeaZU6dOTafT2b9siYiIiEzBwJ2IiIhM8wvgVuBq480lwHRjpB2AwxhpfwbQgIBxvw5oQBugA2cCrwMy8n0y8FejVWYCYJOk8/DDDzfrVJnAvcv2mAHM2detW1eg0Ma2Fi9evGbNGlgTi0vgzgn37mQm3OVNTrhLHYoV50wmkxdffDGAn/3sZ3vuuWckEtltt92GDBny+OOPNzQ0/Oc//3nooYfM/bhdOvXUUydPnqxp2urVq604vwyq51+0OPvss4cPHy718a2trTlpOwCXy6Xreo/N8sOHDzf9oggRERGRYOBOREREprkVALAAuCrrTsnTHwMmAQCeBfSs/6WNSncAbwKrARfwA+Ah4CKgAfAAvwL8QBJ4Czgq74P285C7xEB9V19ff9lll+Xv8Ml59r7QdZ2bpg4I+TGU54cT7rAgcJ84ceJ5552n63qmnTwz0n7TTTeNGDEiHA6PHDly2LBhy5Yt+/rrr//617++8sorJi4gx8iRI6U83aLzu91u5E24n3/++ZWVlVIF09jY+Mwzz+Qf6HQ6NU3rsVle6mjsswMtERER7UwYuBMREZHJrgIWAlcCknpeACwHdOAxwAfowEQAwAqjWGYVkATaAT9wBADgz8DBwK+A8cB7QDPwQ+C3wOHAO8A4AMAEILOVXr9l7rNmzXr//ff7eBIZHj/ppJMklJRKGebsZrGoUoYd7oVxwj2H6dPT1dXVEuLnt5PfcccdcuOuu+4aMmRINBqNRqOjRo164IEHNmzYkGmBN1c4HFZV1borK7K5RSbQP/nkk2tra0OhkKIosVhs6dKl3R0ogXuPzfJ+vz/7/EREREQmYuBOREREZrobuN6okUkDDwJeYDLwODDVKJN5EdCBhBG1NwHnZp3hT8DBAIDtAICvABX4HfADAMZGrMhK20X/ZO6KosjcZQlySlqSyWQ6nZZxbKbt5rIicJdgkRPu3ZHAnRPu2cx9EgKBAIDC7eQ33HCD3Fi0aFFFRUVtbW11dfWjjz66bdu2f/7zn7/85S9NXI/f77e0kkWuREogPnny5BEjRrjd7kQi0dLS8thjjxU4sMhmeZ/PBwbuREREZA3+zUBERESmuQO4HgCgGgXuYjmgA88CGnAOoAGdwNlADDgNKAOeBN4G3gSeA75rHHU2sAo4EQgYCf5vgATwTv9+UhmHHnoojLnLXqmvr8+vRL/uuuukzcCK/pNdllTKsMO9/2UqZeQpYuBuehjt9Xplwr2jo6PHB8+YMWPixIl/+MMfGhsb/X7/yJEjx48fv2jRouuuu87E9Vg64e50OmWH2OnTp1dUVLjd7mQyuWXLlsJpOwBZ1apVqwo/TC6dMnAnIiIiK3DCnYiIiEy2ALgCWAI8CCjAFOP+p4Ek8DwQBwLAM8AZwArgSWNc/TcAgEeB8wEAnwB7AG8aHTIAjgB+DejAb4zymWxWD7nfeeedb731lsxdFuOcc86RYuXsO7OH2SWrYuBuOgbu/Y8T7vnMfRI8Ho8E7m1tbUUekil5v/fee2tqaqqrqysrKx955JGtW7d++OGHTz/9dN/XY10HusPhkML6QCCg63pbW9uDDz5YzIFFXgZwu926ruf38xARERH1HQN3IiIiMs1Nxo3FwHRgKZAGHgdSgA9IAn4jbW8HwsBTgB84FbgIOMrI0DNdMXsAHwF7Ab8CjjXuTAMqkDsublS6W52567pezIT7pZdeWlNTs//++2dvKpjfGyPvYkuJiaybcGelTGE5m6bu4ntRzpgx4yc/+Ym5gbtMZGua9tprr/X22GuvvRbAVVddNXbs2FAoNHr06CFDhixYsODzzz+///77S1uP/Ca06At96qmn1tbW+ny+aDSaTCa3b9/+5JNPFnmsqqrFrErWz8CdiIiIrMDAnYiIiMx0D3AVAOABIA34gBRwIfB41qh7jteBo4C1wGfAfkCjcf/fgL2AD4D9gDeB4wAAHmMv1nXfjN37ZwNVXdcLT7hfe+210Wh09OjRAOLx+Ndffz137tzuahwkcOeEu+k44d7/5Ocu8/zs4hPuwWAQZofREhD3ZTfaBQsWyI158+ZJw3tlZeXixYs3bdp05513lrAeRVGsqGS58MILR44cKR0ynZ2dCxcuLP7Y6dOnn3LKKcU887K3aoFCfCIiIqKSMXAnIiIi0/wcuA6YABwOALjUuF/S9uWAD4gBQWA7UAmcBrwI/BgAMB54GXABXuOoFPA/wHbg98BhwH8DJwDtQBRYB2hZO6n2G13Xu8zHpaL96KOPHjJkiHQ+bNq06aGHHip8tkQiAUBV1fr6eu6bagqrJ9wZuHcnp1JmF6/Glg05zQ3c5VJfXwL3jGuuuQbArFmzRo0aFY1Gy8rKli1btmXLlg8++ODFF18s8iQbNmyora019ws9adKkioqKiooKifK3bNlSU1PTqzPIsUUG7rquF1OIT0RERNRbDNyJiIjIND8H7gWuBQCsAB4C4kAQaAWWA16gHZgKLAaqAA/wJOAH7gf2AI4FTgUA/B64DTgT2AE0Ag3ABcAbwPHAKqATaAd0IAAc2k3mbt2Qe37gnr0bqq7rDQ0Ns2fPLvJs0magqmpOzzv1kRWxuER4DNy7w0qZbB6PB9YE7ia+dCAz1b5kyZJIJDJ69OihQ4fOmTPnk08+efTRR3s83Ov1wrhq2HennnpqXV1dXV2d0+lMp9Otra0nnnhiMpl84403enWeUCiE4rZCdTgcvSrEJyIiIioeA3ciIiIyza3AtcB8IA38COgEgkAbEAImZ+2GWg6cDiwDqoHjgecBD7AU2Ac4HDgMAPB34ArgZADAF8DuwBPAScArQDsQAZLAb4HuwieLMvfswD07agdwwAEHzJo1q1dni8ViklEGAgHTlrhrY4f7wMpckDArhx2kZENOc6e/TZxwzzF9+nQA8+fPr6ysHDp0aFVV1dy5cz/99NPCm5R6vV7Z1LTvC5g2bdqoUaNcLpeMnH/11VfBYFB2iG1paenVqeS1BcWsSvZW3bFjR4mLJiIiIuoeA3ciIiIyzS+Au4BOIAx0GmXu4hEjbX8SOAsAEDXy9BBQD7wEuIFHgIOBd4FpwCXGsbsDfwYOBv4B7Jt1zj8A8e6LZazI3O+55x4Aixcvzrm/tEIYyZJUVZVZUeo76wJ3TrgXljPhbkUuPIhI37q5gbtc6rOuHP/qq68GcPvttw8ZMqS2traiomLBggVffPHFfffd1+XjZRPXPm46OnXq1Gg0Wl1dnU6nk8nkjh07ZLj++uuvl8B9y5YtvTqh/C4tZlWqqiaTya+++qq0lRMREREVwMCdiIiITPML4IasNxcAIcADdAI+4F6gGvABrwJtRlf7CuB4AMBpAICXAAfgBT4FPgEAfAxsBg4GVgAbgf8HHGqcXweOAN755p3i5ptv/vTTT637TDP60r0+f/78NWvWMHA3nRWxuISnDNy7k71pqq7ru/ieBDKsbe6Yv9WBu7j55psB3HLLLcOHD6+qqopGo/fdd9+GDRvmzp2b80j5HGOxWGkf6Nxzz62srKyrq3M4HOl0uqWlJftCpky4p9Ppt956q1enldcW9Bi4T5ky5ayzzkqlUrv4NyoRERFZhIE7ERERmeYWXb9VUe40JtwDwFagAggAG4AawAeoQCMQBZzAo0AAeAf4AhgF/NCI3Z8HFKATALAn8CiwFagGPgH2ANYARwMADgXeBVLAocbGqhlDhw4tKyu78cYbP/nkkxdffLHvo+45BTLoW9SeIUPBMitqQ4NuN1frJtwlwmPgXhifHyH1L+YG7vJdbXXgLm677TYAM2fOHD16dEVFRSgUWrhw4fr16+fPn595TKYBprcnnzhxYnV19bBhw5xOp7Sob9y48YUXXsh+jM/nk8C9tyeXwL3HywC1tbWlnZ+IiIioGAzciYiIyExzADfQBoSBLUAl4AXOAR4BvMDpwENAOeAA/g58C3ADOlAOuAAAvwGOANzAKOBpYDPwMTAO+Bx4D9hiFMg8D4wANGAHcAwAICdhTafT5eXloVCosrJyzJgxp512WuXLL8eATmAF0Kv8PT9qh0lpO4yA2LaB+6AjX1krYt/29naLzrxzkAKQTKXMQC9ngDmdzmLmrHvF4XDout6fGfGcOXMAXH755XvttVdZWVkoFFqwYMGXX365cOFCAJm4vPgTTpgwoa6ubsSIES6XS9O0jo6OrVu3/vKXv8x/pLzop4RdZ+WZ7/EyQDgcVhRlF9/al4iIiKzDwJ2IiIjMlAaagApg+jfvv8C4cZFx40nACxwFLAb2BFTgbsADfAz8GwDQAmjANgDASOAV4B/AzcATwBnAn4F2wA+sBTwAgD8A/2Wc/NJLL73rrrsqKiqi0WgwGKyqqtq6xx4fffSRa+XKCcDpWbHpC92Hg11G7eay+YT7oCNRrxUT7s8888zatWsZuHcnp1JmoJczwCQc7+zsNPGc8l3d/xnx/fffD2DGjBl77713eXl5OByeN2/eF198UV9fr2laY2NjMSeZMGHCkCFD9thjD7fbnUqlOjs7t2/fLnXtXZJfiaUF7pqmtba2Fn6Y3++H2SX7RERERBkM3ImIiMhMs4wbC4EgcAHwIOAHzgPmATWAHzgVADDJeGQ1cBQA4Cljzl3+e4mxb+pXwIfAeOAz4ERgf+A94CDgN0AM8AA/BP4XOPSbG6jecMMNAO6+++5vxO577vmvf/3Ls2pVZsGnfzNClfy9uwIZ0yN4TdMURZEtFskUiqJYF4szcC+MgbuQwL2EupUCVFXt5wn3bIsWLQJwzTXXjBkzprKysqyszOFwaJr2yiuvFD7wjDPOqKur23PPPV0ul6IoiUSioaFh6dKlhY8qOXCXVfV4GUAm6Bm4ExERkUUYuBMREZH55gBeQAcWAR7ACdwFVABeQAHuBkYCIWO71KBxVAQ4CADwa2A94AWqAQCdwHhgM1AHrASWAwcBbwBu4AjjWOlucAH/C3w/ayXXX389gDlz5pSXl0vJTG1t7bZ99/3444/Vl17KX7nk71UAgG3jxg0dOvSpp54y8ZnJIRPu0vhMfWfdhLtg4N6d7Al3ksC9paXFxHNK4D6wLSjz5s0DMHPmzFGjRjU0NCSTydmzZ//rX//q8pfkWWedVVNTM2bMmEzU3tzcLMF9j+RXYgmBuGzB+vzzzxd+mAT65pbsExEREWXwrzsiIiIy091ADPABDqANiABO4GNgN8AHANCAWsALqMAbQLNRCAPgROOGE1CAauA/wLeAUQCAVuA54GTgY+CvgAa4gDeM1L4e+A2QAFzAH4HvfXNVM2fOBHDPPfeUl5dXVFREIpHa2tqGffb57LPP4t+Min4IJI3/Jd55pxO4/OmnO4CWguUzJdM0zel0csLdLNZ1uAsGyt2RwJ0d7kLC8VVZr6TpO3mG7TCUPWfOnBtuuOHwww9fv359bW1tWVmZvPQns7PF2WefXV1dPXr0aNnCVKL2Bx54oPgPIVXsJXyyqqoWE6PLwswt2SciIiLKYOBOREREZroeuBdwAtuBKKAA7wNjAD+gADqwDagCXIAGfAiMBZzA74B3ge8BhwEAnMBuAIA00A58AHwfaATOBP4NbAK2AQkgAESAvwAdgAL4gAONZfwJ+G7e2q677roJwH/NmxeNRmUPwOrq6sY99vjyyy+PePRRABog/00b/0sBKeAPAIDTFaXKONXpimJK/i6VMpxwNwsD9wHEDvcMVVU1TTP9nAM+4Z4RDAYVRamsrPz444+rq+WVSKivrx81alRFRcWYMWPcbncymYzH401NTYsXL+7t+SVwL2ECXVXVYlp3XC4XA3ciIiKyDv+6IyIiIjPNBFzAZqDG2B/1PsAPnA0AuBcYCrgBDfgx8DTgARQgCdQBbuAfwL5ZnTApQAcagEagHACwFdgPiAJ/AxKACtwFzADiQAr4MxAHXEB3odQKANdcA+Cgu++urKwMh8PS7b5x9OiNGzceumQJAAVwABogqWF34c3NitIGNANtwIpSQ0YJ3B0ORwnHUj7JfFkp0/+4aWo2CcfNPad9JtwB+Hw+VVVTqdSNN94I4Jlnntlrr73Kysp8Pp9k5fF4fNu2bUuWLCnt/NLJ09vA/bTTTrvooouKuSYhi4zFYqUtj4iIiKgwBu5ERERkphBw5TfvuSLrdhUw0bg9FwgBTiAN1AP/DTgAHfgzoBqz6ikgCNwMHAKkAQdwGLAReBf4DrAcmAy8DvwQ+DuQAJqAI40a9/8HHNr9Ot+7/noA377ttrq6ukAg4Pf7q6qqts6b9/XXX3/44YdnvvGGwwjc3+zmDLsDSSAOxIF9gZmK0gZsB57vTeCYTqc54W4iTrgPLAbuwooJd0VRNE2zSe241+tVFCWdTp9yyim77bbbYYcd5vV65bPu6OhobGxsbGx87rnnSj6/BO6dnZ29OmrUqFGKohQTuMvequbuaktERESUwb/uiIiIyEw3AT8Hfg4AuAOoBALAJADAUmBy1iNrgZOy3vQDKqAbXTFfAUOA/QAAtwNTAQ14H9gfaAL+BqwHhht17e8B3wb+YNTEO4E/AgrwB+C/8la4Aphg3K6+5ZYk8MWNN+62226hUMjv95eXlw8fPvyzQw75/PPPf/TEE93Fq2cCelbzTKb2PQ5855vD74WbZ6T9gBPuZmHgPoC4aWqGTH+be05bBe5ut/upp56qrq7+zne+43a7JXxvbW39+uuvDz744OHDh8diseuvv/7uu+8u7fyS3fc2cI9EIoqiFPMiAAncW1tbS1seERERUWEM3ImIiMhkAeBB4N9AFHADksAtAELAK8ApAICFQCjrkMcBN7A/AOB24GQAwEZgo5GYdxhbpG4H/gxcALwPrAK+Z2ys+gYAo4tGNz5oftouJHMfByQANzBs9uw08Kcrr9xjjz1CoZDsqlpXV7d57Nivvvpq29/+VvXOOzlnaAbKAYfx4TTjf6ms/F2G329TlHbgc+Pj5gz/yoQ7A3ezyNPLSpn+x0qZbBKOm3jCyy677MQTT7RD7Xh9ff3YsWOj0eiee+7pcrnefPPNcePGtbW1ffTRR6+99po8Zvbs2ZWVlbvvvvs999zz+eefP/jgg739KFLF3tsJ9EAgAKCYaxJy/u3bt/d2YURERETFYOBOREREZtJ1/T5FSQJDACfgAJLAbUCZUd3+PBAD3IA766gpWbdrjCBbA5JGe/s+AIDjgQ1APQDgU+C/gL8DW4B3ACfgBN4Ajge+Z7TKFLACOCIrmleAby1cmAI0YOu8eeXl5aFQKBAIVFVVjRw5ctv3v//vf/8bK1bIsScAKtAEROVTNmrfAbiM/F3P2nM1U0ozATjdSGwlfJcxWAbuZrF0wp0T3IUxcM8wPXAPhUJyzt4OfZvonHPOqampOeKII7xer0yIx+Px/fbb79Zbb815pBS7L1y4sKysbOzYsTfffPN77733xhtvFP+x5JPt7QS61+tF0YF7IpFYYfxKJyIiIjKXVeM/REREtGu6SVFSQAMQMNL2BFAFeAEAGhAH2gEf4ADWADISuTbrDCHAAQwBhgMJQAc6gVeM9zYDSeBd4DRgB/AZcBgwDigDDgYAvAv8DlCB3wJ/BP4XeLebpV5mVNDoWf9TgPJrrvFMmfLJJ5/EYjGPx1NTU7P33nsfddRRB8+ZM+SKK7aNGwdAARRgu3FDzbrhAFyAE3ADXiDQzUefANxt1A0zcDeLZL6slOl/nHDPZnqHu3Sm67o+ILXjl1xyyaxZs/baa6+amppAIKDremtr6xdffBGJRBYuXNjdUVdeeeVnf/a4JAAAIABJREFUn32mKEpdXd24ceMuvfTSIj/cFVdcIRPojY2NvVqnx+Mp5kUA06ZNs6Lzh4iIiCiDE+5ERERkpjt0fb6iRIw3U0AcKAMcRtr+AXAw4AEUIAG0AY8CHuAvxkapfmBP4/AEIKnVkUar+9fAEOBDYBMwFADwAbAf8DnwuhHrx4BqIAF8D/gjcEj3q50GLDHaYNJAhXEbwJif/3wlAOCIBx6IRqNlZWXhcLimpmbMmDFfjBv3xRdfjF++XDUyet0ooFeypuZRcLThLCAJ7DAC93sUpQ1oAr7uqnmGisQO9wHEwD2buYG7x+ORc7a0tJh42sImT55cXV0dCoWGDx/udDp1XU8kEi0tLffcc8+iRYsOP/zwDz74oPAZpMN9zpw54XB4zz33vOWWW/7yl7+8/vrrhY+SKnZN01atWtWrBbvd7mK2Wq2qqpLS+V6dnIiIiKh4DNyJiIjIZFuB3Yw8vRGoAVzG5qIdwJ6AF1CBJBADmo0HaMD/Atu/WTUTM+JvBYgZleviH0ALEAb+Y2yg+h6gA05gPPAnwJ0V4v8JUIwR+BydQAqQKwTtQJkx6r7SeMBvLrsMwEF3311dXe3z+Xw+XzQaHTZs2Nff/vaWLVv++c9/Tnv9dRghuwaoxn9143aXQoAGbEkkAKiqOtKofe8Evgf8QlGaga3A0wMUX65bt66+vr7/P24fScrJwH1AMHDPMD3PlY1JNU3rVTFLaU4//fShQ4dGIpGxY8e6XK7MhqgNDQ2LFy/OrAdAkYXyM2fOvOqqq0aNGlVbW/vDH/7wsssue+CBBwo8XqrYS3gCXS5XMS8CkH6eYvZWJSIiIioNA3ciIiIyWRmgARcDAJYY+6aeBQC4AxhjxOspoAPYCIwCVGOv0Q4gBHwGjAIAdACaMbf+PpAysmwAG4AqYDVwDPBX4HXgIODfwBjgTSCdtWPqu4AOfBd439iXNdvVwBJjs9MKIJ015J7tveuvB3Ac0L5oUVlZWSgUCgaDVVVVo0eP/ucPfrB58+YPPvjginfecRoF7rJIrfsh92XAxUbdsMPheOjII3/29tuZ2veEsefqQcAditICNACPM8rsidUT7tSdTKWMruv8LrUicIfZU/M5jjrqqD333DMajR5wwAFut1taceLxeGtr68cff/zSSy/lrKeYWfKMBQsWwBh1Hz169KxZs95999233nqrywdLf04JlS9Op1PTtLa2tsIP8/v9AFgpQ0RERNZh4E5EREQmu8G4cS/gA87Lelcd4Dbi9ZMAAMuNRD4NxIAW4EXgHmADsBtwTtaxjUAS8AJvA0cCxwH/AQ4DPgL2Ar4A/gKMMd6b3dt+CPAH4F1AA/4EfDdvwdOBhwAnEDPy7t9086l5Ac+MGTrwz1tvHTZsWCAQqKioiEajQ4cO3Wuvvf519NGbNm06dvFiBdAAB6B0P+EOGduPxXRdV1U1FAplmt9lw1U9K3yX/L0tb8/VQl+GXRI3TR1AnHDPMD1wdzqdKGnouxjTpk2rrKwcN26cx+OR6phkMtnR0bFly5alS5d2eUiRs+Q5Zs6ceeWVV+6+++61tbXjxo2bMmXK448/nv8w6c8p4ZOVwL25ubnww4rfW5WIiIioNAzciYiIyCrXfvPNCUAQOOWbd0aMgfcE0A40AtcaTej/APbNeuSXwLcBHfghsBEYBmwBosAGYDOwEfgX8CkwGvgrcADwT6AJ+D4AwG10y8B4b46LgAVANaB3H5H/xJh/TwPDfvGLAKADGxYsqKio8Hq9Pp+vvLx82LBh6/feu7GxccOGDcctW+YsWOOuAJJYqarq9/sVo5cmMyDvBHTAa7wgYCrwWNaTyfA9HytlBhAD92xWBO7mTrhLzh4MBvfaay+n05lOp1OpVFtbW2NjowykF16Pruvt7e29/aCyyeqcOXMikcjee+999dVXz58/P+cxMs5fQuWLw+HQNG3jxo2FHybnZ+BORERE1mHgTkRERJa4F4gCF2TdcwJwxjcfMw/wG3XnCeA0AMBfjMHwFPAKsD8wEgAwBVgPaIAL+AfQDgSM83wE/AGYAfwvsBI4APg3MAu4AvgbkAAU4F3AZZTSdOkq4EEgBLzWzQM6gBRQBriMXF4DolddJbXv6xctKisr8/l8fr+/srJy+PDhG7/9bUne8cgjXZ6wGdi6datMuPt8PnkehFxycGTVwTuBsm4WNgG4TVG2AtKvvCvHndw0daBImYzc3pW/AwFcdNFFP/3pT20buF944YWVlZWhUEhydhnG7+zsbGxslD1Oi1xPMbPk3Zk5c+ZNN91UXV09fPjwW2655e9///srr7ySea/L5UJJlS+qqiYSibfffrvww6QPp8gCeiIiIqISMHAnIiIik80FdMAHaMCjwPkAgPsBX94jawEPcGjWPQ8aY91pYDZwKpDOytbbABcAYBNQBySNNzcAPwUOAL4PfAT8EdgEXAY4AN3YedUNHAK8BxwEIG98XlwCPNrNJ3WysZlq0hhyTwEhIAjEgTSw+4wZANZefvlee+0ViUT8fn8gEKitrR01alTrgQc2NjZu2rSp4cEHs8+pApMefbRzwgRFUTwej27k7JKwZzJ3CS8VoBU4v5sVfgeIAQcArcDPFWUr0LBLTr5zwn0AccJdhMNhmF0R7nA40Lep+UzOPnbsWMnZNU3r7OxsbW3dsGHD8uXLe7seTdO+/vrrktdzxx13AJg/f35VVdVBBx10/vnnP/ro//1uy9Ta9PacqqoW8xTJ+Rm4ExERkXUYuBMREZHJmgAfEAIAxIH5QAMQBlRgJXBy1iPPzju2zKg+14FrgI+AlBGa+4C9jYcdA6wHAsBTwDnAeOBfwD7Ax8DnwN5ABxA3AuvDgb8CGvABsJ9R456ftovzgQld3d8AlANqVkWMXBVoASqyBt6PuP/+NOAF/t8NN+y+++6RSCQQCMj2qrvvvnv7/vvv2LHjq6+++tvf/lb1zjsAmgEPoKqq2+1Ws9J2GPUyinFymXbv7v+6PQNcCiSNtvdOoB04FLhVUb4GdgAv9D4DnTlz5pw5c3p71MCyNHDfxXPkHmmaxsAd1uzJWVrgPn78+D322KO8vDwYDO67776KomRy9ra2to0bNz722GM9n6Wb9Wiatm7dutIOz7j66qtvu+22cDg8ZsyYyy+//P7774cRiJdQ+VLkVqsynt/bAnoiIiKi4jFwJyIiIpPd/v+xd+ZRUlXn3n52zdXV1SPdDDIjzuAco9fERtQoaNQoqEkURaNJCBIxzgoyaBQUxyvBm2hMvDGfaCY18ZprILlJNMbECRRBJoFmpufuqq5hf39s98nprq6iuulCgu+zWFnV1efs2nWKZJHn/Or3ar1AKQ+kIQHNMABC4IF2eBLq4AM4DobBGR3PjVjjnIbPA7Dcxr23wZ/gQnvkLiiHi+BIGAUfQylsgDPhLdgKZ8JHkIb/haNhKVTB363OfhdG5/2OzrHvJWWz7UkYaivdmyEJJeC1/7TScML3v2+C8P+47bbBgweXlJSYzHtlZeXgwYNHjRpVP378H7dsWbFixZR02gh3Oup1bd849kcPKLgGFnW1yRAE7W2AlEu+t0ELLFCqDrbAD/P2of92th2plPlUMQl3rfVnXLibmZ89CGjnwOv1aq3zFO4TJkwYOHBgWVnZl770pUAg4OTZW1tbm5qaamtrf5il5CpPpk2bdvrpp/fWHYUZM2bcfPPNffv2HTx48E033fTGG29MnTq1B8J9ypQp5513Xv7CvQcF9IIgCIIgCHkiwl0QBEEQhN7HB8Y2xcADxbYoph1aYTvUQzl44c9wsuvEMHhhqOuZpCvxPcyOSwXWwwEQhLWwGfrD+3AMvAejAPgHbIQk+OEN+By8CQqOh3ftmm/DURmbX5wRcvdY2a3tnzTshJRtxUm75qkmIQHl4AM/nHDXXRqehkHTp48cObK0tDQYDJoJq8a8G01phLsbBZ6O8t1d8p7J/fA9u1u/S74nO8r34/fraatSKfMpIh3uBiPcezfh7vF4drvmpEmT+vbtW1JScuKJJwYCAScU39bWZjz7448/3iubKSsry7O8JU/uueeeyZMnH3744X379v3CF75g7i50t/KlsrKS/C67x+NJp9ONjY093K4gCIIgCMLuEOEuCIIgCELvY9SwMbz9IGAz1zFogI/gcxABLyThRdgGkwE4PWOphLXMHvBCC8QhCOfCGiiGL8MH0AClAPwC1sPHcCx8CAfDm+DpWNo+Gt6Ct8Bje2Y64Xbux8IaiMMI8Fr57rH/iqqHYtePWB2fdCXNSwDYsGDBBgBKrrzy6KOPLisri0Qi4XBYax2LxQ499NAPFy2qr6/fsmXL8uXLb33lFVwLOvLdXIRvwg+6uuz3wQ02FO9cNB8EoAi0le/fhscAmGDl+2Jzyr+/J3WE+5gxY/a876ITTke5kInJtkulDHbmZ+8m3D0eT5cJ93POOWfo0KGmNOa4447zeDzmyGQy2dra2tDQsGLFiueff74XdwIUFRX1rnAHTLnNvffeW1FRYYR7LBbr1grFxcVKqXxy8V6vN5FIbN++vYd7FQRBEARB2B0i3AVBEARB6GXuUKoCfDZd7reyOAGNsA2AvhAABQmIQ6MV3NfbJhkHM6QUK53r7TMe2A7DAdgA5Xa26lfg73AQAB/DxzAYPoBD4Q9QBscA4LNBeDc7odI+dpx7pVXnjZCEdjjcNrabSHsrJGyKvL/V8V7wu+Lwbhp/9KM/AnApfLRgwYEHHggUFxdHo9Hq6uqhQ4eOHj36nfHjd+zYsWHDhq/9+Mce17lJ8Ll65DNRGT9qV0uPFwKQhFvg+67DzDt15PuEHnW+7wsUOuEu5MDpcDefwmcWv9/fswryHHRKuF911VVVVVXRaHTs2LHu0phYLNba2lpXVzdv3rxefPVOhMPhPNvSu8tNN900c+ZMk0Dvbsd6OBwG8rns5m7Bb37zmx7uUhAEQRAEYXeIcBcEQRAEoZfxAxCHOFSC3zX4tAE2wWCIgscGrk3JDHB0V/806ZRwr4WRUATt4JSwnAEfQhE8DxfAPPg+/BJOh3/A/8Kh8BKcCm/A+2CUzD/g2I6vVdnxx8XwU8DlzY1hr4UkDLaHuX8Vt/I9AX1sIt6b5UJF4cjp05t+9atIJPL6668PHDgwGo06hTODBg067LDD1p98ckNDw/bt29etW3fVz3/usw79W7CwqzXnwU2u8nfs8cqVfFcQg5kwq6sVHPleBdtrarLsfR/FEe4mZdzriMrPgVTKGHw+H/mZ3/xxcuuzZ8+ORCJHHXWU3+93Yu9tbW3Nzc07dux44IEHevFFsxEIBAok3IFZs2a9/PLLiUSiubl5ypQp//mf/5nniaFQKJ8imilTppx77rkF2rwgCIIgCIJBhLsgCIIgCL3MDK0fMEFXCNt4e5sr3n4whEDZeHgDrANgAPhgNSTgELtaHNIQcq2/CUpswr3K9WQZnAn/hGNgCpwAf7PFMv+AGPzF9aLl0ArLoB182QeoXgpPgBdURmnMTkhDmcuquyPtpjw9ZkPxXdIAJTYXXFJSMvwb3zAnfvjQQ6Yjwh17HzVq1OoxYxoaGrZt27Zq1aqpv/610wzTCd2xVUa7cu5pG8A3s1475dwzqVq61Cl8/7fIvJuaiwIJd6mUyY0MTTX4fL4eNKJ0yYUXXjhw4MDy8vJIJHLEEUckk8l+/fqZMHsikWhra6uvr7/rrrv2/IW6RUGF++TJky+66KJUKtXQ0HDMMcd897vfffDBB/PcFbBb4V5ZWamU6t0+HEEQBEEQhE6IcBcEQRAEofeJwa3wIPwOzrXquREWwgQotaUoCWiDOquko/afJmn4I5xij+nTcfFm6AN+CMCrMBaAU2EVhOFdWAdDYRmMgA/gYPgYWqDd2ueT4G3wQcrOWc3BZFhsW2VMJN/vyq23WskeAJ9Lvps34oTfuyQErZBKpZRSJhXrM/Z/2jQz7/Svs2YNGDCgpKQkGAyWlpaWlpb269dv+PDhRx555Kozz6yrqztg27aVK1dGfvtb97Lz4AY75TVt+2SMJ1YdS2YSMB0W7PbjBFyjVvdl817ohLuQA6dJRoT7ngj3Cy64wEj24uLimpoaM/7U4/HU1taWlZW1tLQ0Nzdv2bIl/+h3r1OIknqHqqoqc0ehT58+Pp+vf//+119//f3337/bEwOBQDqdbmtry32YqXov0OYFQRAEQRAMItwFQRAEQeh9bgUgBONsy0oLrALgZBt7T9jY+yZ7VsR6YVP4fh+8A5nWqg4OsO3wQ2E9DAFgE5TCBFgGwBGwHlbDetgKW+EIGAofAnAUvA8peB8O293bmQC/6phedwaimur2OMSgFZphFAQhAN7dVcqYw1rSaSPcY3a1UnvuF2fOxL7om/fcU11dHY1GA4FAKBQqLy8/4IADEonEcccd13LuuQ0NDTt27Fi3bp1+9llgPtwEuPpktMuzO/l3c9vjBpifZYd3wJyMJye6Ut77mnxPpVLG9hZCuM+fPx+4+OKLe33l/QPnGwCf8Q53M/OzWxXkF1544QEHHGAk+5gxYxzJ7jTGtLa2HnHEEX/961/nzp1buJ3nSUGFezQaNQn0hQsXAnfddVdlZeX111//z3/+M/cYZHOfo6WlJff6pupdhLsgCIIgCAVFhLsgCIIgCAXhbvDBFRnPl9uSdxN7b4AfADABQuCxIjsGTRCDTH2yCUZCGHwQgq3QAKVQAx9BCA6Hj+BA2ArHw8dwPAB/hf+Bg+EViMBh8DqU2RYawztwZFdv5zx4ztpzI9A7tcckrX9vhp3QBqeAhvUQzHKJ6qDItqB4vd4whEDbLnjTRRO1U1JPuPlm7Cu+u2BBZWWlu/B9wIABiUTiqKOOaj3jjMbGxp07dz6ycePUp57Czkp1F7hrV/LdOPfvwX1d7XAOzAQNs7O8hX0t9u5UyphvDAh7h8svv/xrX/ua8exSKWNEeWNjY+7Drrjiiurq6pKSkkgkYmafOuemUiln/Ondd98N/O53v0un073bC99jamtrKysrC7SZThNZb7vtNuPcjznmmDFjxuRw7j6fL51O7/ayh0IhRLgLgiAIglBg5P+KCIIgCIJQEG7t6snvQxEAaWiHFtvqDiyG66wFTkIc6gFogI0w0LXIBbDB1rgHYSUMgDgEbb17NSyFzdDfnrICVsFJ8C68DknwWM/+lj3mPRiV8x1dCPdDEgbZ9hhlS2CCkLau3PHvq+zk2GOyLGjuN3iTScDr9catW/fbexLG5rdb+R6xBxw1fbrx5k9Pnjx69OiKiopIJGKS72VlZf369Usmk6NGjXqvpqa5ubm+vn7btm0rVqy4+/e/T4HPNUDV4xpImy3nPgvuhDtBZxmyathHYu+OcPd6s32vQOh9TGrYSbh/xoW7Sbi/8MILnZ4fN27csGHDKioqotFoOBw+8cQTzeBTU3zvJNm7rGU3LSv7iHA3znq3bel7sri7Y91x7scee2wO5+71etPp9Pbt23OvHwgE8pmtKgiCIAiCsCeIcBcEQRAEYe/R18a949ACdfCA/dVD4LP+1wj3WlgMwDm2Kj1iD26CKghAAC6GFRC1zt1QA+/DLngTzoDVMBpeg9GwCtogBcrVJ7MMjoAP4FAAlsPhXe3/epgAb3b1q4s7ht/TrvKZDVmuRiWkYEsyaQTxVohBOYTAb52+W76nXTl6E/D/2hNPGHtupqd+bv78Pn36FBcXB4PBkpKS0tJSIJlMJhKJE0888Z2LLmpsbKyrq6utrb3mRz9ytqGtgs/m3O+EWaDgTvtjbj7F2LsJxkrCfS9j0tlOk8xnvFLG4/E4V2Dy5MlVVVUlJSXhcPjss88OBAI+n8/j8QBa62Qy6Uj2HF0x3/zmN88///x9RxMX1Fmbv0udJrLm49y9Xm8ymfzVr36Ve32/37/vXElBEARBEPZX5P+KCIIgCILQ+2itf6DUtzKenwy/BQ1fzviVmYOqIGF1vLHti+FeABRsggMA2AUDIWTPrYUqKIZmeBNqAFgNUTgB3oKj4W8wDN6DdXAQDIH3QcEqGAlHAHAovAMhODj7W1sME7p6MhuX2LsImZh0fNIm3KutT2+DBohBFEKucaxeV5re2Pxyu5TphHnjhhucxY+cO7dfv34lJSWhUCgUChUVFVVUVKTT6WQyGY/HP6ypaWlpaWho2Llz54YNG6Y/84xyrZPJTOvcyVu782nE3p1grCTc9yam1FsS7sCkSZOqq6tLS0tXrVoVDof/4z/+w+fzmfA1kEqlEolELBZrbm7evn37ggV5TSwuKSkxCffdTgTdOxhnXaDNGOGeWflinHtpaemRR3ZZ+oXH43Hn4rNhNt/jkbaCIAiCIAj5IMJdEARBEITe506l+sNCyHTu47KcUmzj4Sk7ZNUh5Uph/x98AU7ueO6psM6Gvp1k+jnwFoTh77bS/QN4F74Gf4PfwWH2+deg2PbJ+CCZEXjvRKZzz1TwDs9k/9UP4DKrljwejwnsu+eyOqXwMQhDGIId5XsTpKGoq7ms79x++zsA3ADPXHfdsGHDysvLi4qKgsFgcXFxNBqtqqoy+i+RSKwYN66lpaWpqamurq548+bmJ5/M3O1MwKXdZ7mezId5Sq2ChgKb90QiYbSvCPe9ifk+wWezw/3SSy81hr24uDgUCn3hC1/w+/1m5ClgbnG1tbU1Nzc3NDRs2LDhR64vl+SJaexJp9PdGsRaOIyzLtBmzOzTLjvWb7vtttmzZ1dUVEydOvWRRx7p9Ns8hbtZfx+5koIgCIIg7K+IcBcEQRAEoffxQzt4YT7shE3wU/gpXJr9lLA1uaa1vBFqamqAYcOGpZ580oz3NDNLZ8OMjNO3QxmEIQB/gFMBeAtKYaItaj8U1sESOAHeg7/AgfAqnAj/hA/h4I5NMsa2O7H6QvATOKm9HfB6vXNqam5cutRn3yYQcjXJmPB7PRzsmtdqnjfTZa+Gx7t6ifkw5YEHfLb/XcFLd97Zv39/U3Ph9/vD4XBpaanWOp1OG/8eO+201tbWpqYmp/+9aulSs9pMmO3K7Oev3d+ESdAADyn1F6Aw5t2UXItw38s4wt0k3PfjSpnx48cPHjy4oqKiuLi4qKgoFAqdeuqpHo/HbdjNyFMj2Xfs2HH//ffv4YuGQiHT877biaB7B+OsC7QZ83cp21DTGTNmzJkzp0+fPt/+9rcfe+wx5/kJEyZ84xvf6FRE0yXm2wYtLZnTuAVBEARBEHoNEe6CIAiCIPQ+Rna224GfKZjvaoDpkhB47HTQNqiDqqVLt9fUPPHEE8uffNKZ7emFIGit31XK3SzwHhwAQfDDobACDoHJ8GcogmPhXRgNtXAwvAmj4CPbNvMaHAPL4K9wEgDvwJH2QZe2vctimZ4Rj8e11h6PJxAIjIMJcKF9I0aR+8Dv6oXfBkmotjNjg1BkE/HZiNiBru2QgNPuvNOR78Af7r3XNL+HQiG/3x8MBqPRKJBKpVKpVHt7+ymnnBKbNMlE4Ovr6+/ZsuXmp54y3zkwn0ue2v0pAKbBIfCjwlS9O9XMxn4Kewdze8Px7PtTwt0E2EtKSiKRSDgcPv/88/1+v2mJcfpzzLzTeDze3Ny8c+fOL37xi7FY7KqrruqtPTgV+S+//HJvrbknGGe9Y8eOQixubH6O8bB33HHH3Llzq6urr7766scf/+Qm47Bhw5RS2TS9G7P5+vr6XtuxIAiCIAhCBiLcBUEQBEHofYzsdBxxAsrADy9AHC7MOH4+BEDZ1HYbbAU/VC1dOlGp21yVMl47GXUr1EOZXWEyLINiCEII3oPN0B9Ohg8gAG/DahgBy2yB+4Gw3vbGvAVHwEr4BxwLR9q5qV23BQO959xNuYHH4ykuLjbLulc+v2ONuyPfm61kL3H9KtvU03kwPaMCPg4JCELNTTc5n5eGV+bMqa6ujkaj4XA4EAhEIpHi4mITsE2lUmYE69tnntnW1mYU/K5du7Zs2XLb00/fCSoP7f4QALdCmx2Z24vmvampSSpl9j4mlWyuvPmqxKe9ox4yadKkPn36GL0eCoWCweCpp57q8/mcSafYlph4PB6LxVpaWurq6u6++273Ir/97W979wr4/X6lVD59KXsH46xfeumlAi2+26GmmzZtGjhwYFVV1aRJk5566imgpKSE7Ll4Nx6Pp729fdOmTb21YUEQBEEQhExEuAuCIAiC0PvcqPXDSg3/1a98Pt+SJUsOvv/+IltNnoCH4QNY6Dq+L/hA2eGlBkc6J8DoK5NwDwBwutablUq6/jWzFqrANKEfBnXWyJvpqefCW7YfZjV8AGtgCGBF/PtwEKy2WfjDbUze8GFXk1QXw7M2PG7+9EBBNTY2moR7UVFRpsH/pX1wrY3/t7sMuw/iEIOE9fLTocs5jAvgclu543PJd7P5OFTZx2ffcYfHhuuB/7799v79+5eWlobD4WAw6Pf7Q6FQSUmJqeo2Cr69vf2tceNisVhra+uxzc1mFuvatWvLfv/7bO/aGMpO7UB7bt6feuqp//mf/1FKScJ9b+K0qZgf/y0S7mPGjBkxYkRFRUU0GnX0+tixY0163ePxmAB7Mpk03/OIx+NtbW1NTU1btmx59NFHc6xsBpz24lbNTNp95DbG5ZdffsEFFxRuMx6PJ51O5x5qunDhwuuuu66srKxfv34XXnjhc889F4lElFI5cvHu9VOp1Kuvvtp7WxYEQRAEQeiMCHdBEARBEApCDJLJZCAQCIfD/cEPCpLQAg3wmNamf9dYrRI4LiMwvhiACZCw1SUm4e63ZvYuqISUbbA5B1ZCBHwQgn9CKTRDMfwTgnAMrIXtUAXAH2EjDIR18DEMhlUwAt6A9209+kqIw6iubLthIiy2G9BwoWvkadJOPW2HGLydZYVNDz7IWWd5PJ5QKJQj1fmwfXCd3Vu7te2tMBDSEIN6mAxPdLVCqf32QBw8ELatNSYbMa8FAAAgAElEQVQ1b+avRm3zTxraIQUXzZ07u+M6R999d2VlZTQaDYVCgUDAKHh3vYYzizU+aVJbW5u7Dr7tJz9xL5XZxf/JVd1j8y4J972Ju1JmH0y4jxkzxgwNdrt14JRTTnH0ujnS/AX+ZJJBLNba2rpr16677rqrWy/X68LdPZP2U6e6utrj8eSTJe8ZJj7f1taW+7AHHnjgxhtvjEQigwcPPv3007/yla/kLqIxXHvttWeffXY+Ve+CIAiCIAh7ggh3QRAEQRAKQhKSyaTxyMXgtd0ypp/dwdRQhAFr2DuxGKbYhLtyJdyBnWBUfisUAVALFbZYZjTshLB17h/BgfBjKIY6KIdT4B+wBfrBa/B7GAlrYRi8BRE4CFbAKNdmnJy7u81mAvzExsbNZFe/a65p2rbYZxPu5iJ4PB4jAXfLA67H37VfGnDkewtshMNhecaJD8ENdlfmLGPqAQ314AUzSdBv/wRAwwxwO/e3br3Vvexs+M2995qkcDAYDAQCPp8vEAgYiWn0q2nhSCQS7ePHmy4Op5Gmrq6utrY2+JvfdPlme2Dezd8oSbjvTTwej/mgP/VKmXHjxg0YMKC8vNwMNTVfy5g0aZJTvO5E16+99tpEIpFOp9vb29vb200/TH19fXf1eia9Xv9ihPs+UikTjUZNSLxA63s8nmQyaYq2cjNv3rzbb7+9pKTkkEMOMf/jmbuIBqioqFBKiXAXBEEQBKHQiHAXBEEQBKEg3Kr1008/rZRSt99u5nOaoZ0t0Kk9V2v9J+tVu6TdJtwdnW1YCwdCEfhsY3sNrIUwRAF4BsptfNs8czksgRA0QCkcC+/Dr+FEeBv+AsNgAwyC92ANJGAlJOBwwJVzd2y74TIAFkAEAuAHr+uP3+4/k8+Zd6e1UipP4e7mQftgujX7jnzPFO7AfPiu3VLAevYUlEGZHYJq1mmFGBRBALwZ3S9uZsAdN91kbjaY0xU8O3NmVVWVKYI3RTSBQMAE4R0nm06nnVL49ksucUR8c3NzY2Pjzp07N2/eXPy735lXMeb9KHg7P/kuwn1vsveHpp5//vnV1dWlpaWRSKSoqCgYDJqbPZdcconpW3e7dbO3f931aW836fXt27fPmzev1/fW68LdXN59RLgXFRUVtFDefD+goaEhn4Pnzp07c+bMsrKyQCCgtd5tLj4SiQAi3AVBEARBKDQi3AVBEARBKBTxeFwpVQZeSEAcmqEeft7Rxz2i1LGwDFJZhpQmOybcHeG+AVqg1E5S/SccA1thmD3gEngTwhCGOtgIo2AMvAV++DWcC4fBalgCR8EH8CYMgr9BEuLQCqXQ3rHP3f3YzfSMZ37o6kzvkr6mPF1rj8fj9/tPAQ8syXFNs+D0tl9vq9izUQYfQRiCdmNeaAUNHrvbIAShyAbhm8EDt9ri9UzmwGwbnDc3Vy6eNStt1ywyw1Qvv/zggw820WPTRWNmUQYCAWPhsXF4U0qTTCaTyWRi0iQngGzaaYY0NX3jG9/YvHlz0UsvdWneJeG+9zFX20jYXky4n3feec4IU3Pnxlj1QCBw4YUXer1e49aNWHf+CmmtE4mE262b6Hqn0aYFpRDCfR+plAkGg4ULiU+bNm3cuHHpdHrr1q15njJr1qw77rjD7/en0+nd5uLN3YLC9eEIgiAIgiAYRLgLgiAIglAoTN4wDB6bm45BnU0rO7a0D/hs4czLcGbmOmDsrQIzz/NE+6t6qAIfBCACP4fPdzz3/6DSps6X2SePhpVwLvwffAHWwUHwBhwKH8G7YGRSCkrBKBzTDbwKlLX/wISMGpw50AS74IcAXLW7S7QY/gJ16bRSKhAIDId2uABaodnuv1vcbx9c73rs5k6YYQeipm3XfIu9jRGHOKQg5Kp3D9mP73twX5bXnQEz7ORbDUnQHW8z3PnjH9/Q1YmHzphhGuGdLHynODzWojou/pOW7Usvffrpp+PxuBlo6dTUjB07Fkm4712coanm88pfDZ977rkVFRVGqRcVFZl2dTMYwOfzTZw40emBMTjZefdfiXg87nbrDQ0Ne9OtZ1KIhLvWeh/JZRdUuJeWlpqr162hpg0NDcuWLWtqanr33XdzH2m+RZTPbFVBEARBEIQ9QYS7IAiCIAiFoqWl5fUzzhjesU9ml/3tRKWMcy+2/yIxx9wNr9TULF261Fmn1Ua2HeH+GhwFPqiFwRACPxRBBVwJU+AYe+51cDxEoAjOgj/DyQCsgQ0QhbfgaHgDBsG7cCCsg7g17AkYbdP3y2AkrIED7eKZpfN3wBMQh8OgFZqgHhblvEr/AS9o7fF4fD5fqVXbZiZqO5wPbdAEDa4bBvnQpW03zIbLYIAdmupW6uaLCG2wGQJQAuGOsfeZMCv7sndA0n5GxrYXWQWfgHlwY8ZZH8yenfEcxVdcMWLEiNLSUlPDbQys3+/3er2mHb6Ti3d31JiE+9FHH/3zn//ceFijYuPxuPHyra2tzc3N9fX1zz//fHeuqJAVR7jjSrifffbZ5laKmVNqvtbgfJTm+w2XXHKJ1+tVSjkNMGYp0zuEawaACa07H2JLS0tdXV0hCmH2kEsvvfSyyy7rXR/t/gLBp47f7y9cSDwSifTgdsXDDz98yy23RCKRkSNH5j7SNM+IcBcEQRAEodCIcBcEQRAEoVDs2rVrAHht5DkGTVACHohBzEbdr7b136bFxXT31rice70NlRe7FncC8puUioIXwlAGB8H3O27jZFhpG1QOguVwOJwJf4cA/M6OQn0X+sGHMBQ22hocBatgJHwASXgfhsP7NrN/mOtVzPBVYDL8omOd+gPQ6hqamqnp0+m01+v1+/0pW4/jNLqYUhfjwQ+0Ev+1PfhQDBXQYjdZltEkUwKVdgrrVmiGSjuK1g93wp1Zlp0DwCxIQzuUW4+vwQcemA/tcNvuttf85JPvZNv5NdcMHDjQlHebQLQR8aZdxOfzxePxSCRiyppxGXlH3TpJ+eeff/5f3TWJhGPnzWOTnTeC3nSSdPsq71+cdtppZWVlRRZ3wYvf71+1atXw4cPNkel0+plnnrn00kudLnVHppvbJE61uvlc3CVC7iqYtra2pqamrVu3/td//den9ra7SWVlJQWolDFXqRfX7DF+vx8okHA332vpwe2Kk0466Y033igrK/vqV7/6s5/9LNthfr9fax2LxfZsm4IgCIIgCLtBhLsgCIIgCIXi3nvvXTRvXsIGnP8CJVDkGtoZg8EQsP46AW2wzZ7uOPepcA6EAVeLi5OBbbClMQEohv5wHNzesQ5+PUQhCiF4H9bDEDge3odr4M+wDobCh7Ac1sBA2GzLVdKwBobDh5CyBe4fdPxXlDOU1fAV+C2kXXH1hEu4T3Adad6L6eLw+XxfhF/ZULlpVzcePO1KoCdgMMSgBf63px/Ng3C9nZuatG49YpW6E3uPumLvTbAF/BCFGyAAd2VZfCbMAD+0WJXvhNzT4If74Hs93fmuRYt2Zf9t3+9858wzz2xtbd24caMTqTZhamN+jZd3AvJu3F6+k6B3NL1RyY4gdrfcOLjFsUOmUDZh7SVLetDYv3vGjBkDmLsR7rm1Pp/PSZebuxRer9dcGedH50nneWPMr776avMAcDpelAvsfyvPOOMMcz3NFw7MlUwmk871ce5tmF7+Xbt2Pfzww4W4DnufQozlNF06+0ilzMaNG6urqwsUEjeVLz14p16vt76+vqysrKqq6owzznjllVe6PEyEuyAIgiAIewcR7oIgCIIgFBCf7ZNpg0NgBfSHJPhgOwAjbIG7I9yf0NroQsAodaXUULugOx5u7N5WOMC2tEegD7wAw6AWBtgjT4f3IAgBOBU+hK3QFw6DtfBFeA82wQGwFj6Cj2E77IQxsBa0NfKrIGUz7x+6duK27YZx8JKtQcdV+96Je6DZJdyB8+yv/huKIeQau2rku7bF60m4DGLQBi/k/5FY7odvgd91/0NDHGo7NskEXLF3R81vg2b4BmQLHs+G+XarbZCy3zDwW8U/F27v/p6z8RBMA2Dro49y5pnA1q1b35sxw/x2sf2LZLj55ptLSkoyG8PddeGm5MTn87lVcqcXdfeJ4/L1dOXuOz3vPPP8889nPknHDWf70b23Tg+mTJlifnz00UevuOIKlQX3KQb3j+7n3Rszb8r8p7kJ4b7ZUFZWtm7dOvMVgZaWlsbGxvvuy9b8vx8SDofp7QC4ucmxjwh38wYLJNwDgQA9eqcej+eUU055/fXXw+HwoEGDsh3m9XrT6XRLS8se7VIQBEEQBGF3iHAXBEEQBKFQzFeq2lpXI9Of1foOpVa7jim1Zd/t0AYNMFGpKtheU+Mco7VepdRBXb2EcYKbbRF8CMpgFEzQerlSjVBij1wGpVAOARgGO2EXVMDHEICj4CNr4TfCehgKPvgrDIP1YHSj6XBPWuduWA0jutrbeAB+4So0z2QItEMqlTLCfQY0wnZ42hpV4FGohIitqvd19Pgm+X4ltEOsq76aHCwE4AIos0LcC1UAnAA/h/KOr5sZe7/KjofN5Aa4227V/B2IQdKG6IMwH1Jwc3c2nI1prsdaayeIbZjQcU7vPffck+ey3/nOd9w98m41b5Ly7qB3p7i3+0dTK+8sm+nunec7ifUcdHlk5pO33367M8LUkf5kNO046rxTnD8zsN/e3t7a2trQ0PDoo486r/L4448PGTLkN7/5zZe//OVYLLZs2bJHHnkkzzeyn9FjZZwD8xejQC0u3cXUoMfj8UIsbhLoPXinpojmvvvuu+WWW0pLS8eMGdPld0eMcG9ubu6NzQqCIAiCIGRFhLsgCIIgCIVC2S6RFMTBSI45WmMFKLZhxik2abTnVi1dimuwau724kYotzq4BAYCsBr6QJvtorkE3oCw/fNnKIIGKIW3IQAHwkbYAX1giw28HwZvwhAANsBWGA5rIQkf2empXdp2h6/AQy7v34kopKEllQK8Xu+BEIc4zFeqBabDDphiLapSamFHCe61RttMPU3BNbY7/umcu3LjTA79KjRBHYyG/4Mv2OcXQb+M2HvAxt5vhGyTK2+FOyFtbb75IFL2PZq3MB9uyHuru+VheBOwoeBOOH/rns3Pa7udMranJf8SmEsvvbSysrKoqMhpme/U0+IE6t3zQg1dxsw7Rc47Jegz+3C01r/85S/Hjx/v1uUmeP7444/n+S7ywXSemHZv7PTUzyaFGMtpLu++I9yBArWymG/5dPedTpky5dxzzzU3Odra2kwGv0uMcK+rq9vDfQqCIAiCIORGhLsgCIIgCIXCBy/CeCvTna/xu73hN10TU2Owo+MKIStJZ0CTS9p2Yjv0B79tlamypv4DpYogBiEAPgcfQRU0wymwCkJgUvAroQ+8A58DoB9ss6U3x8G7MBqcnoJhsA6SGdn2bFH3aaC1vhxwOV8HryvhXuaqfW+3M1fvV6oFGuEK+KbLFD+uVJmreN1rr4CR79+2OfQnu9pSl5hRg9+CFmiBx2EX3AzXwBoANPwNKlwDVI3xnwmzsqx5J9wOuyBlG3LMDkP2ew+tMAfuyHuTubkWLnV9OSAb3TXvPeOnP/1p4RbPk2uvvXYvvIq52n6/32Sx95Hxnp8KhZgpuk8l3E0IvbW1tRCL+3y+HtyuqKysVEqZ6/Pggw/ecsstQJchd4/Hk0gknnnmmd7asCAIgiAIQpeIcBcEQRAEoVB44QyIQcyGmjtp0EfAD8qq4Vb4QceZouWwGYCkrUHfbjtP3LwHI6EIfFAE5XAoKKVehAo7vTMCwHq7YAgGww7ob0eeroez4O+wAQZBNQAfwsEwGpZDKxwPb0AA2qEFSlySfWXOf1c5bSFuwztRqafgPFtA4fV6vTY/nrbfDEjZQammMWaBUi3QBA2wyLXUD5UqgyJXM0zA1rJPtZ3v7kjz4o7X2c1C+2AqtMEvoQlehFMhACe4vrWwHEohDEG4A+ZkWXAu3GNvujRADKIQtsUyZiTsXdAE+Va95MT0t3SZcM9k75j3/R7z32uv95PmpM9ywt346N5tXPF4PKlUqkC16d3F7/cXrpXF6/X2QLgXFxfjusnR0NBgHmQ6d3Mle2OngiAIgiAIucjr/4oIgiAIgiD0AKPftE1tZxrNCvBACtLQbvtkFts/h0CxPTIBGhR44K2Mdb4FjZAELwShxKbRz4Y6SIAXdgEwFnZCO3ghAu9AI6ShEYZAGZwOm6yUBw6G1fBHOByiNgKfhhgcDaZBw6S/PbZ5JhuZmetntX5W669qnUwmzZTOXdAMcUiDcnWml0El9IOBMBwOhdPgCaUWKHWzUhOVukrrC7Uep/UfYDVshXpogyQoW/8yDabal57gutTZeAR+CANhBBwB6+Et+AM020t9JAyFPjaufi3cmGWpmyEAUfsu/NAMH8NOaIU0+KES7s15AfNEuxLu+feIT1Qq88sHXeJM9BUcTOeJ6QP5jCfczUXoXeFubtftI8LdOPECtbKYypfu9tUUFRXhuuaPPfaYedC3b1/3YdOnTzdV772xU0EQBEEQhFxIwl0QBEEQhEJhbuynbcI6k4iV8nFohaaOv53jKipJWF+vwAv/Bd/oePAOa3IDUAzVMAEWwxpb7x6EjTDQumMfVADwJwhBse1zBz4Pb8M2+CecCSvgcPgbHAKr4D1IQAqWwWDYAClYB0NzXorX4MTsUzFNNtPj8Xxda2CmUv1ctS0+8Ni6GOyg1CpbONMKo2ChUjthEyx0rT9bqcGu7nV/RtTC0e6dnnHj9LPfbIP2W+yHNQpCtkHeXMMk3A5zu7oCxsXfbYevmv53M0q3FkqhCAIwD9Qet7o7Cfep8FDHkaq5kcB7zzC3N5xvFXyWE+7GR/dixfmVV145ceLEws0p7S4+ny+dTj/33HOFWLxnVy8YDNLVTY6ysrJOP4pwFwRBEARh7yAJd0EQBEEQCoWRlzq7cA+Bx+bfY7Az44CZMBqAdlspo2xZ+bc7HrkC2kDbVpkKOBiA8a6QexF8AMAQ1xTTL8I2iIMHdsGHABwFO+F4+DOMhzUwAP4BI21nugnmfwCDwAca1ro2szHjjZzoXJOuYtRGuDuNHLO0/pbWl2o9UevztV4PO6AJYjaxbrrsS6ASBsAQOBiOhlM7xt5naH251l/R+iyt/w5rYTtMznh1t2RfnD32fg/cD6VQBQfAcNgFq6EW6sEYsiBE4ftdnW64FXZACyRd/T9DIALtsA22Zdx36S7mloYjf41tzz/qbjCB99xF8IKDu1LmM55wN8q4FyvOjTVOp9NtbW29teaeUNBWFo/Hk06nW1padn+oCzOo1q3plyxZctxxx4XD4QkT/vU/b5FIBNvfJQiCIAiCUFAk4S4IgiAIQqGIQRF8x/7YKT19HwRB2ZryNthmbSm2uKO8vPz2X/xillJxl3A3ce8oXA994BYAroCPoMQGrktdOes1tsk9ACXwVzip406WwNlQCX543z75FpwAh8Pf4Xj4KwyFd2A4rIdWexdhBQyEdyEKwAo4BAbmvCxKKXMpnBh1PB7XWns8ni4H/X3HlbZ+SKkSGAwtEHB1tadtYNzE3ttcsfdaeEzrm12LLFPqjY4vkRl1zxZ7d67qHRCxn10z7ACfTdP74R64Ocvbnw9jbYFPxJbOh215TgLyzPHOy9Jgo7samjoVHgblKtXJhwk28y6B99yYShmv1ytDU41wd2rE95yioiKlVDqdLtCc0m4xZcqUs846q3DjW8077W5BvBHunW5INDc3R6PR8vJy55lwOKyU2keaeQRBEARB2L+RhLsgCIIgCIXiu3C160fjcC+//PKampqampo+4ANlC9xbMrTm9OnTTbpzptYpO0fUSbiHoQgi8KA9fju0g4Iym4sHJsA4rXe6Qu4V8Gt4seM+V0EzaBgLfwTgq7AKmmAkvAMnQS30g2U2kW0aWkxacjQYRXSIzcjnxlwKE6OerpTJZno8nlAolPvEaVpfofVYrf8XVsEWO4ZUg9cVe+8PQ+FgOAbGwJNKPaDULbam/HtaP2v/uBefABNglX3g/HHv2WEO3GVT6ib2HrUpdRPJn5H9XbwKT8AgqIIPYQs02s8u5PryAfBw9kWMbb8v4/kuhTtwLUyFR7MvmIP8G94/m3SqlPksh4hNC/mLL764+0PzIxQKGQ1dX1/fW2v2mPLy8sIl3CdPnmwW37kz88tOuTAtN500/cKFCxOJRDAYPO+888wzwWBw36nCFwRBEARh/0aEuyAIgiAIew+t9bp168zjYngYNCQhbiemuvF6vcXFn4xNjWUk3D1QbR8bi3oitNlSeIfFMFGpj8CUFJiQe19Y13H46lmwGdpAwZHwJgBnwsfQBsPgfTgOtkA1fACDIQIB8NhQfBSWAbbKxmFNlkvh+OujwVQomPebp9idqfVXtR6n9SlavwXrYSc0Q8JOSY1AGVTZOauHw+fhPFio1F1KTXGVlXeS77fC7TA74xXd5t3Z/FyYA3NBQRCKodyW4/8Frsj5Fq6DZdAOQ6EalsMmqO+YcG/N0gjv8D14BB5yPaO1djrcMzHft8jh8XNQtXSp+dOjs/dnTLDdXPPPeMLdhP17ccFAIACk0+nf//73vbhsz4hEIkqpAn2+VVVV5tbCCy+80K0TjXDP/FZBPB73+XwlJZ/cwjNXUoS7IAiCIAh7ARHugiAIgiAUkJqaGvePTu54yZIlIfguJCAGLV0VuCulTOsu0NJRuPvgPfiO1k1g2maMc+/b1R4Ww09hJ7TbGHgFDIFFsNp12OfABOF9MByWA3Ay1EIb/BlWwpGwHapgJQyEIgjBYbAChkIko719IwzPfnEW2z1v3brV+MqioqIxMF+p25S6Ou9I9be0/orWp2n9C1gJm6Ee2iDdse29v6vt3cTeJ9o/Zh3HvM+FNfBduLWrl5vQlXy/C+Z0fNEToT/cCJ/PvvPH4UDYAO/DsTAC+tnRtYY0+GEe3JN9kakwDR6xRe3ZEu5uru1+q7ubTtdNkIS7g6mU6cUFHeHei2v2mHA47PF4CvT5RqPRntl8862C2traTs8/9thjn/yP6pgxgN/v7915toIgCIIgCNkQ4S4IgiAIQqGYCUsz4sDmmblKBUDZhHsbbMk43V2xUg8pWynjcU2huVnr67SeqvUOmAd/zbKTxbDCWvsARKEvHAVrwC1p3oVGSIEfXoOPADgWtsFX4F1YA4fDDqiENXAAhGAtHAIrYBgkrHNfDR/vrszdbCwAlz35pMllB4PBQTACjoDPw6NKfV+pG5W6TH1C7tUWaP11rcdrXaP1P2A9bLexd8APRTb2fgCMgKvsiZnmfZzWJ2n9KnwNpmYvZJ/g6n9fDCfAMTDX9aIBOA1uy77nu6ASDoBGm3B3B1BDoKEFUnBvzvc+FWLwUMbQ1BzH09Oou4OYd0OnhHvhOr73fUxGuxcX9Pv9vb5mjwkGg0qpAgn3cDhMj+7WeL3eVCr1yiuvZP4qlUoFg8HKykpsEH4fmT0rCIIgCML+jQh3QRAEQRAKxZ1Zkp5Lly7tD347MbXLAnfgnnvucYT7VK07JdxLOh48U+sbtH4PtmbZzIWwwxVyL4NB8CJsc4XrL4Z1tnxmIqyAjwEYBTvgVFgJH8MhsAvKYC0M6OjczdjSWvDA4Iw9bOhqY2NgDBhfGQwGTRVMH+gPg2EkHAlfhAdhNlyn1ET1L7K8V4DvaH2B1mdofbLWK2zsPQYp8NoJpZVwfcezJnaMvVc88UTgt7/92Te/eYzWE+Db2V/O3fm+GE6C4+Bom7WvcFXtZ3Ir+CECFaCgyfUrj63dD0EaZuRsmLkBpuWXcHe4FhbC4/kcmpPPuHZ3J9w/48Ld4/H0rhz3+XzAPtLSY+L2BRLupq2+B+80R618W1ub1+uNRqOAz+fTWpv+LkEQBEEQhIIiwl0QBEEQhAJyV5bno+AFbYV7c5bDXn75Zedxp4R7cVfHX621GSLaJe9Bs20pMU3uo2EpNIDT/lsDmyEGHjgZ1sNmAA6BOjgB1sBGGAl1UAbroD+EYR14IA0piEEg49U3Qub9h1X2gSPcjcoyrSxRKIcqGGCHoB4NY+E+mAHfBtWRLO+by7Q+W+sxWr8B62zs3QTJM/fpMFGpzZMn/3bcuGAwCEzQukbrZ7U+t+Ms3Ezc01ZPgc/DYNgBd2c/5WYbYzdTWB02Q6Pt+YlAJYRyroPtcFdK5S5/d/gWXL3HUXfDZzbw7k64AyLce3FBI9z3kYS7idsX6PM1Nr8Hi+cQ7osWLUqlUoFAYOzYsaZ5pqmpqcsjBUEQBEEQehER7oIgCIIgFJBbtX7xxRcznw9b4Z6EGNTlsVTSCmuPTal3yVaIQ5f25WuwHeLggTCUw2DYDmuh1SX9j7WF7z44HDbDNgBGQCMcDeuhFkZAA3wI66EfFEEADoEUDO84+dMwMCPz3goj7WOjif1+/0rYAg3QBklQtgomChXQ1w5BPRSOh//sWLSiMui0h2laT9D6S1p/Qev3YRPUwXezXXE4Ck6Box566EGlblPqYqWAr2l9mtbPav2l7Cca3Ob9SBgJi+GOLAfPgdthW8eEezko+BC2QBMkwQ/FOfPyTsK9CO7JXobTiWuB3oi6Gz5r2r1Twv3T3s6nSa/Xv3i9XvaZhLvf76dgN1QCgYDWurvx+Ysuuih3y006nfb5fKWlpcbL79ixY493KgiCIAiCsBt8uz9EEARBEARhD0ilUi+88MI555zjftILCtKQgDabIt/NOh0T7qEsh52s9WaliiAB/ozfvg6VEAA/RKEKDoX3oQ8EoQXMkNa34QSoAD8MsrUzlTAENsIoWAFboB9sgA/hY6iGbbAehsAKGA6rYUTOd+SOcqfTaaVUIBCYYn2lUmoRlFiV77N3GgIQhhSkbIPNf9vBs9dmvEQn5+6WoVfYx/crdQE839UOfwzXQQLi0AZHwCKldsFmeFjrK7W+EoCHlfpzznc6wfV4dGZDcf4AACAASURBVMYzbh6AG10/xsFvL2MKVkIlFEMQHgLV1Vt2Otynw8MQhgUQh6bdReOBq+GxnM053cI498yupP0Pk3A3f9m01kuWLPm0d/SpUQjhrrXeR4R7bW1tnz592tvbd39o9zFZ/u7a/CFDhuQO3be3tweDQTPutb29/Re/+MWeblQQBEEQBGF3SMJdEARBEITCkkqlPB7PjTf+y6P+J/ghCSdDAr4J/y9DSmY6OyfhrmwLeTbqIQEeaMz41begFmKgIARlMBAa4TVogBS0wAS4GNbaMvcgLIVdNoY/EFrhUKiFbTAIDoHVsBGqIQzrbZ/7CFidfZOd+tzPOeccpdTs2bMdRa61vlrri7X+stZvwHrYaatg0uCDIBTbIaj9YQgshp9mf0WyVNBcr/VFWj+rdZdq+AEotuF6d6f8j5V6SKnblfqqUtdmPz0Tp+fd/MlknuvxJtgIdbYmaCiUwJ/gI9gOLbAg43SjO827uxYS4IUI9IX789iese290jBjmGhr93tvyX0OJ+G+f7/NfOhZC3kO9qmEeygU0lrH45lf4OkFTMd6d21+aWkpOTX9okWLzPztHM0zgiAIgiAIvYsk3AVBEARBKCzJZDIUCoXD4bvhVgBK4Az72/MAm5DdzTodK2VylI/XQn8IQgA2wKCOv/08rIGgLSfpY6tODrKjRJ+AxXAqvAmDoQi+Dv8Lx0ADlEI/2AYHwRrYDlWwCVbDJqgGbM79Q+vcM3PuH4M348nx48eT5WrMcP04X6lqm/IOgBd81r+bTvwXIQHn576a9oWcx+YVHWnubkQx7Tp+V7g+6Yq9H25j7xs7prlzd6o4CffFGc+4GWbD+5tgJ4yAMJwMXiiHF2EI3AERV3VMp6Gp3wPgLgiBDx4GDdN2d2VMcH4RXLO7I/Nkwv4eeHcn3D/tvXya7N8Jd1OzHotlG5OxR/RMuBcVFQG5z9JaV1RU5G6eEQRBEARB6EVEuAuCIAiCUFgSiYQJGK684orx27a99NJLl3Z1WJe27ppr/iU8Ex0T7sHsrzhW641KRWzV+9/h+I4HbIAoFEMISmEAnAhjtH5HqQCErFg/DlZY0TwW/g6HQiNcCdWwA4bDetgBfQD4M2y2YXMj+j+AEbDKdrV/bGvcPTCg45ZiHTP7Oe5A3OB6/mGlKiACQfCBF/zgBw2/hxScmf0qdaLL8pkxY8YAC5Yu/aq9XAF78YMQgSQkIQ5xOBZ+rtRm+AAedwXe8zHvTtq9k3YP27sgFdAfmq15Hw4BOMvet3gZpsIjrp13eju3wSJIQT2E4CFogBm7uya9Zdvd7Jfa3T00VYR778pxc1X3EVNsatbb2toKsbi5tdDd+Hw4HAZyn9Xe3l5VVSXCXRAEQRCEvYYId0EQBEEQCks8HldKBYPBVCoVi8UmwGVwTpaDO4lm0+prSEDadrh7u+pnd1MHFRCCIJTAszDR9dtTYKWNPEegEobBlUr9SOvVSlWBz5a2HwJroBJ8cIwtZzcR+D6w07a610E5nAyvWec+yOr15a7JqM7Q1IEZG85syMknL3yt67cLlSqDsEu+e+EPkIa06ysFeeII65qamu01NectWQLMUWoElEGRfRXj90OQttn/IXAo/EypWlgOT+Zn3rMF3hsgZMfGhqEE+sAAaIblsANOgAicAR5YCK9Cm6tSxo2x54vs9wCKYQFs6dhgs9cwl2Lx/qKnzdWWhDuFEe49GCVaIEwIvaWlpRCLezyedDrd3fi8uQeQ+6xUKmWC8AUa9yoIgiAIgtAJEe6CIAiCIBQWI9wDgUAikUilUidBAP4EX8xyvNu5e73eMWPGmD73OJimBuPcc1TKAHPgB67emCq4saNaXQ0lUAoBKIEB8DkAVkIYSiFox6IOh432mYNgAwy041UrAfgxnGyd+4ku5z7YdssAy+AIWAvNMKqrDddmZN4zr0ZuvmUPu1mpEVACYTtt1QvvW9FsAummp+XsPJZdunQpXZXP/ECpaohCGPzQDzwd0+hD4XB4WqlN8A78rEfmfTFMgO/ZF/JlmPftsAoOgFIIw1h4oauEu8M18DD4IQJpGAjzYBX8Vx6XotfZb3pmOg1N/bS38ymzfwv3dDrd0NBQiMVNwr21tbVbZ+UTuo/H4yYIL8JdEARBEIS9gwh3QRAEQRAKixEogUAgnU4vWbLkKaVMDcgr2WPXxtzV1NR4vd7qatOLThw0aFspkzvh/qzW65QqBh+EoRwO7Fg2chYst0raqPOhcItS39f6TaUCVuyaZpiBsMWKe8Mu69yBy+HncDzUQ5nLuW+HIbAOYnAILINhgKtYxmFtzveSv3M33OM6+G6lTMVNo030B13TVl+HGLRCI1yc9/qd5PutSh0G6Qwn7jbvo+AnSm2Et6HTeNVs8t1dNWPk+0tQBVHXVxPMrZE+0AaboB6GdRya2iWmn32+/fSDcDQ8CK12xsDeZz/Q7k6ljNC7cnyfqpQxwn3Lli2FWNx8OaC5ublbZ/n9/t2G7p966qknnniC3VW9C4IgCIIg9BYi3AVBEARBKCwmDun3+03w05SAm7T1j+Hy7CeabPXIkZ80suiOCffcwh3YDn1s+UkJ9IeJSj2rtRPFXQ5lUA4BiEJfOByA47ReqZTf5qA/ggOhn2vlh2AHVLmc+8XwHBwD9fARHAevwVB4F4bCOlgBh8A2qIbBsA6G2tXWQ9hOW81Gd527w62us/6fUpV22qoppjc3G0qhEv4ELdAMdXB13uu7vfYMOB76dHTiRTaN3h+GwWj4sVIb4D3rl3PH3t2B9/H28e/sqwRtp02Ry7ybz1cp9SB8N/vOb4Bp0MdeEFMW/yjE4fq8337v4lyBfzvzLpUyhilTppx33nmFSLjvI9Fsr9ebTqdfffXVQizu8Xja29vr6+u7dZa5B9DU1JT7MBOE725BvCAIgiAIQs+QHIogCIIgCIVl1qxZWmufz+cI9yRo220yGW7Ofu7SpUtXrVplHsdcwt2bR2rgPWiBtPXmlXCU/ZVxghNhM8RA2RT8ICsNl0MTaAhCKbzfceVp8HeogwS0wO8AuBDehToYCf+EE2EdVFnnHoTlUA1bAShyrTZkd7bdkCOynScXaX2a1p/XernNg8dAQwCKodyOez0U/geez5hfultmwzlwIrwIK2ArNEECvBCBChgAI2A0nAJfhyeUutP1pkzyPZtrnmD/vA1nwfHwCqyELdAEKfBDFPq4Eu7vwG05N/wQ3AFvwHqog3bwQjEs7OYb73UmKrXnH/feRCplDNFolN7uLVFKpdPpfSGafcEFF5ia9UIsPm3aNPNOn3vuuW6daIT7jh07ch9mgvDdLYgXBEEQBEHoGZJwFwRBEARhb+Dz+UwrQgAUxKENWqAJBsOtcHeWE03OHWgBExzNM+E+WeuVSpXaqZ5ltk7dYPzgcbAWAuB3Rc6NPXxdqSBEIATl8BYsh6/bY74Gv4EjoRy+CH+AU+E8eAFGwQh42/r9zfA2DIM18B70hS3WvDfBgVk2vwP6ZDzZ45x7J75uF3lSqb4d295NWty0wUzreNbizIWy4NxBWQCHQB97GU2s3kmj/3/2zjw8qur+/68zk5lMJvuekACRTRBc6lZbW4VWi7bV4oZS3FgUF9CvrYpYFVFEUdSquGsVl7qgrVpBsQt8229trbbVti6ILELYs0H2Zeb8/jg987vJLJlJZiKtn9fj0+fm3nPPPfdO4KGv+5n3pwKGw6tK7Ya3HGXdsWveb4HN0AqNUAeHw4MwAgpsrXpIuI+GdrgGmmBp9NWeajd+DWWQAz54CICL4r7lpBOKd989fnw8402fgy8QEe6ACQpPbvyL0dD7QoV7VVWV2+1O0Upyc3P71m/W5XIFAoFf/OIXsYeZdq+JBsQLgiAIgiD0DRHugiAIgiCknGAwmJaW1tjYeJ9Sw80e6IRWGAdpoOAncEuU043IuxeCNsPdBWk2IibGdbdCifW8WVAClyj1gD3FKML9bNJLjytqrT9UahD4wA+FMAzehBPsmJPh1zAGcuGr8Ec4Gk6CN+AAGAZ/h69AOWyHv8EwWG9z3ndCqa12D6caotVhJtdpTrPzPKSU6Tvqd5j3DLgOFtrBzoL3OOX7j+zGfTASCiHTkQNj0myKoQJGwC+Veg6Iw7z/GO6HbCiED2EPfN0e+i0Eg0HzyYYyc/JgAfwryrJD93U8AI3wD/uS4AG4JL47TR3Fa9bE49wnTJiQrCv2wd2HKty11l9m4Z6enp70+BfzVPeFLJScnJy+OfF4yMzMVEr14V1FnO8ATBhO7Kh3QRAEQRCEZCHCXRAEQRCElBMMBt1ud2FhYTaYjqkBm8dyi9bAIqUUXA83R5/kMjipu3DP7u26E7SuVirTdvIsgDHdBxhLWBvpXKXUffBdKAaP9fWtVqwbjoffwwjIhoPhT/A1OBHegtEwvLtzfw/My4Y9kAvboRS2waCwS3fap9SDjbbtarJK3UNcZGf7qVJVkGez79PgRrgxbLyR1MPhtvjmn2M3HoJhUACZNkTe1LznQTFcBY2RoszDzfulADxg6+U/gybYA8fCUlvhvtv6ffPfUXBYzPyiM2AeZEMteGA1VMJiyLB9Vr8oitesIe5S9/4T0d2fd9557e3tbW1tLS0tzc3Ne/fu3b1793PPPRcaIBXugNfrJamRMlOmTDnvvPOCweC+INz9fr8pJ0/F5D6fD+hzhXuvw4xwNw1FBEEQBEEQUo0Id0EQBEEQUo4R7rm5uT5w2Y6pHRDqc3et1jcplQmLIQjzoswT0iouG7fdK3VQAD7wQQ5UhA3QWr8SJS97DowAH+TazqtlsN4RFwMcA+9AFWTCgfAOfBW+A7+B/WE4/A0OhXLYAX+BI2GXrXPf6rDt62Ck3d4vyr049yfduRv+x865UKnR1oxHYz08B3WwAz6Jr+w9FNLyGAyFAmv2ndXoN8BNQHTzHtpvys/vt99gKIBP4C0r3L9ir/W+9fvpcDcE4Mooy7sVzoBd4IWvQTq4IAjzYUEcd5dSim220vLkSe346+KXLVsGzJ8/3/wYDAaDweCqVasCgUBnZ6fb7cbRZuC6666rqalZu3btFx50M8B4PB4giXnrpaWl5k96a2trsubsMz6fr29F6PGQnp5On9J44lySKYTfsWNHXxYnCIIgCIKQICLcBUEQBEFIOYFAwO12Z2VlpYOyHVPboM4x5gatgZuUSofFMDfiPKDBZSvcM+K49HqosCntWVAM85Va0N1XTtL6b0od6thzhtXHJ8I7Nv/ENFathI/gIzjADv4q/A0Ggx8OgHfhCDgOVsP+MAr+CodBGWyHP1mxbt4EYOvWR8LHYQX4sUmRczdcZ2deuXLlqd/7XrSA5P2gHPaDcfBt2Alr4Vlb7ByDmXbjCRgCeQ4nnh42uId571Hwbqrd77OvVUIZ7uPHj//xmjUnOd6OGD6Hu+GK6Gu7Ae6BJtgBhZABQ+Bx6IJZse9qQAjFu8fOU4qHRIW4EfSnnXaa3+/3+Xw+n8/r9aanp6elpfn9/q1btwJa629/+9vBYDAQCKxcubKzszNUGt/Y2NjQ0LBr165HH320nyvfNzGdOZMo3E3Qyj6ShZKenp464d63LwfMnj375JNPjmdJphDe7/f3OlIQBEEQBKH/iHAXBEEQBCHlBAIBj8fj9/tNXLvJk2mDZ8KMYUi73xYp/aMLzAmmwj0e4X6K1huUyrKpMvkwLNKwN2GTo2+qs1j7q/AheMD0UC2EofCb7jXph8I/YRBkwBj4KwyGEhs4s7917uWw1YbSFEAttEEFrIfh0AcVNAAhHlpr9fzzL555JpG6mN4JN0AuFEI5VMEB8JhSt8AGeExrHIXPEZlmN56CSptmE2IxdMJ19scY5t2k1txtUymUUi6Xawy8Dw2w25HVHuqd2wAXRFmVaRi7FDqgxr6t8cLPIBD9rAEmWdo9fqIJ+hUrVjQ2NoZ+Gz/66KPs7OyMjAyfz5eenp6Zmel2u0NHTWm8EfGtra3Nzc179uypra3dsmXLz3/+8wG7l1RgOnMmMf7FBK0Eg8H6+vpkzdlnTP1+ipqm9m3ygoICpVSvZ5199tnnnHNOIBCoq6uLPVIQBEEQBCEpiHAXBEEQBCHldHZ2+v3+kttuM//yCHVMjYbR7m1K3dh9f5fNcFeQFqkUOiLbodAK0xwoh4uVerC7ppyn9f8ptRuKI83wNnwbisAD2VACB8Dfuzv6AwGoh3TYH9bBbrgElsNW2B/eg8FQCtXwexgOhbAbtsBg+AyGOlLae7AZfGGdXUOktNRda+1yucx2xC6mN8F88IAfsqEAymAIjIafKVUDF0OoUW0M+X6u3Xi2+34f3AHB7l96CC3g38nm48cDxWvWXAFH2EBnr9ebA5mQD2XwLtTDDseF8mCbdesRmQ0PQgZ0QQvUQi744HGYEf2sAWbgtXtEnBnul156acQxN910U1FRUXZ2timQz87Ozs/PD50VCATeeOONjo6O1tbWpqamPXv27N69e+PGjS+88MKA3kk/SEtLA5IY/2KKyoPB4O9+97tkzdlnPB5PPHa7b5h3FYlOnpWVRRwZPhUVFamrzRcEQRAEQQhHhLsgCIIgCCmns7NTKZUJXeC1Fe5NvZ01X+ujVq2qra2dOnWq2ROqcC+1Y/4WFvMdztFab1XKb5NhCh1pME6+ofVapfZCTtihC+AtmwKfDrlQDi3wCVRDpWNkDRSDF0bABngQlkOFde5rYSeUwmb4FKqhGHZZ5/4x7AefwqiwBXjtjUdDKXU9bLNF5UkkGAyGW/Ie5n0BXAVeSAMPZFjzXgpDYBQsU6oGtnQvxo8m36fajTNgC+RCBnhhCWi4qvtgZ0NR87+hSBmPx9MK6ZBhP7siGARvQy1shYtshv6msGlDXAzAAzZTqAs2QiE8CB5HMM4Xzher3c0rn16/b3HDDTdE3L9w4cLi4uKcnJyMjAxTEV9SUmJEcyAQWLFiRXt7u0mkqa+vr66ufuCBB1J1J/3D7XZrrVtaWpI1oQlaMb/SXzjV1dWlpaVJDMxxYoR7opObiJhev1KQk5Mjwl0QBEEQhIFEhLsgCIIgCCmnvb1dKWVaULZDG7TGrHAPobU2Dsu4vE4Idk+SWW6jQqYr1RRdONZCHvisLq+EyUqFD/4XZENLpHSX78C7Vtn7oQA64FPYANuh3A4bCeuhCLwwDDZBDRRBBVTD/vCJde6bIAeqoQR22Nr2WiiMtH5PlP1OboYnYalSpo77/iS5V2eFezhO8z4F8sFvzXsa+CAb8qEEKmEkPK1ULWyHxVr3Kt+X22yfF6EcciADbgdXWNfTUENRoOu447DC/Uq40q4qFMSfB8UwGNbYqJkq+D3cF/0hXAK3gw88MAQC8BGU2eD4fSRhhi9Ou99xxx0zZ840vyd9+LLFddddF75z/vz5gwYNys3N9fv9mZmZubm5FRUVphB+5cqV7e3tzc3Ne/fura2t3bx58z4SCm/+stq7d2+yJjRBK/uIcPf5fMlNqHdiHl2iaTzp6enxnJWZmUnKwnAEQRAEQRDCEeEuCIIgCELKaWtrU0p5bMfUOCvcgWAwaFIajHM/KtIY42Svh1a4RKk90BnmHNfBIEgHL2RBCYyLNNVpWr+nlA/awBd29Aj4xBHmXgQd8BH4YJcj72U4bIBC8MJQ2Gw1eiVUw2hHnftGKIDPoQy2wTobMhOKtamDdiiPw7YbzgfgJaiCB5VqgF2wtX8GNhgMxhDuIUKXuFmpMZAPmZButXs6ZEE+FEMljICXlKqGv0PJlVcWFxc/9NBDfr8/PT3d4/GceuqpPSafbDdehlLIgVvgJ1FWEggEzG9LWlraC473AT+BbFss77XrCUXNbILl8Co8E2XaqwFYAFmQDgeAhrehCu6CH/X6gAaQL0S7P/bYY7NmzSJ5HQUWLFgQvnPJkiWmFt4k0gwaNEhrfdRRR61YsaKtra2pqam+vn779u3vv//+qlWrkrKMhHC73cFg8PXXX0/WhOZvv4BNSfpiSU9PB9ra2lIxuRHuiU5uvgHQ61kmCj9FrwoEQRAEQRDCEeEuCIIgCELKaW5ufvXVV48FBUEIQAc0x3FiIBBwu90nnnjiG2+8obX+rVLHRRl5M9wGOZAHLTBDqUaHczxN68+UyrKBJ9FapwKHa71eKW8U5/42TIBCR5h7O7wD6VALGbY03tS2F9iC6Gqoh3yohC2wP3wIO6AMgAZYD4OgGj6CYqvjt9nGqolyOvzatqUdAmPgDqV2w6Y+SdjQO484ud5xieeUKrKG2ryoMO8qhkIbDIYxsHPJktxXXgkGg6aLZk1NzYIFC0z2SHjZ+2mO7T/CTyMtwARHGOEe+h6D+d/JSs2GIhvon2Fr8Att1EwNfBsucnRY7cF8AK6yVfNfAxe8CFdACcyL/zGlnoHX7gPQwvfKK7t9t+H8888/5JBDioqKsrKyTBV8ZWXl2LFjx48f/8tf/rK5ubmhoWHXrl2ffvrp888/n7pVhXC5XMm9ffNHbx+pcPd6vX1w4nHicrmCwWCi8fderzcYDPaa4WNeFYhwFwRBEARhwBDhLgiCIAhCyqmvr09LS3MDEIQu6IhPBQYCAZfLVVj47wrvtu615D24Bu4BP2RBLrTCpUrtsdfaBsVW+2ZDGcxR6r5Ia/gUMiE3UrbMdFgJB0GebcFaBm3wOpwKZY5TquBzyAcPVMA269wHwxYYC+/DNhgEedAAn0IlbAYTIr8dOqE6Zm17jEdxPPwB/JADndAOg2EU3KVULVTDsri1YJwV7hGZovWpp566//77H3DbbcWQbVNZfOCDLNthde+kSXVQCx+B8xOJnTlztN3oIcdDwRFut7uzu3cO/cq9rNRgyLNRM1ngh1wohiGwBnbB5Oja/Q74MWyAMsiBsyENNEyHwRChMPuLYyC1u0lyT6lw78GTTz7ZY8+1115bVVWVn5/v9/uzsrLKy8tHjx799a9//ZVXXmlqampoaDD17ytWrEjFekyFe3InZJ+pcDfCvbk5nlelCWOEe6KTm+T3xsbG2MM8Ho95VbB69ep+rFEQBEEQBCFeRLgLgiAIgpBybr311iVKhYR7AOJM6g0EAh6PJzs72/xoCuRbu8e4O7kcHoB06IRMyLYF7zOV2gt3gR/SbAj7mCiTnKj1B0r5IAMaIbv70e/CH22Fuw/yoALaYA0cDyWO5Q2FLVbND4JtUAcFMBg2wyHwnu25mgf18BEMgY3QCC3g7u0pKTthRL4Jv7dF5X6bpd5uE13uUaoetsEjvenRQCCglJo4cWL8GR0TJkyYOHFiXl5eVlbWlClT3G43L7/cGAjUdnS0nX32aPsRhALxjemugFHwnFKb4a9hjjikccPN+3LH9hlWuJsK99D+yd2b655mZ1ullMmo8YHXEX1jombq4LEo93gnLIa98BnsgWLIhGMAeAzWwh1xPqwBYSC1+0AK93AWLVrk/HH27NljxowpLCz0+/3FxcVlZWWjRo06+uijX3755cbGxtra2urq6rvvvjtZV09Rhfs+ItyN3W5qiicMLGFcLldXV1ei8fdpaWnBYLC+vj72sJBw78cCBUEQBEEQEkCEuyAIgiAIA0EWuEBDEDrj65gKdHZ2ZmRkmJZ3QCuY8lFTBh6RSwB4ELzg617wXgP5trw6FyqitE4FDtZ6k1IeSIM62AWjHUePhvchzWbImAaqrTAPlkCBw7kPhmrIBS+UO5z7ENgMh8GfYDMMgXyoh39ANmTDHmgOy73ZChWOH4vphWPgbJgGaTa4PAMCtmtoG+wH9ytVD9XwUBRRaIR76J1HRCZMmNBjz4gRI4LBYFdX1549e+rq6j777LNHHnkEYOpUM+B1pcocptsLmba96lAYF90Rxy57Xw6z29tNhrupDu5Bj2knag08qtT+UGRz551RM/OjV6zPBeAuaIJNkAZlkA3pMA4ehxkxHtkXQaq1u/k49pH8E8PSpUudP1522WUHHHCA8e85OTmVlZXjxo371a9+1dzcbMLfP/jgg1dffbXPl1NKJVeO71MV7sZu19b2IeaqF6ZPn37mmWcGg8EdO3YkdKLb7Q4EAj//+c9jDzMr7zV5RhAEQRAEIVmIcBcEQRAEYSDwgZGjJlImfuHucrn8/n8nu7RAEDQo2BA9hx24GB6CNJshY8z4J1Bh88RN69TDo8+wydbIp0MuvNd98CHwCZR1b6B6InwIB0K+w7lXwlbr3AfBVodz/xyOhtU28D0HamET7IJcALbAYGiAPKC7ba8Ft90fTuiUZ2AwHAxZ4IM0+0wy7HuIDiiHcfAzpbbCP8OErBHuoY8gxPTp06uqqgoKCnJyIrz7uP/++2OnN3xfa+AhpfaHwu6h6jlQZIdNVsq83ngikiaOWPYeqsCNKNxD05oNc7MX2HleUmqwzWcPRc04e6LuHj++eM0a51Q/goftFylqYSNUQi74YBkEYVqMp/BFYO59eQpK0Qcgw72f3Hvvvc4fFyxYMGTIkJycnJycnIKCgmHDhh155JHLly/fs2fPrl271q1b98QTTyQ0v8vlCiUaJQVTMm/aEnzhmMCc/ryQiEZxcbF5V/G73/0u0SXFk8xuhHuKavMFQRAEQRDCEeEuCIIgCMJA4AEF2nZMjdN8tLe3K6X+8Ic/mB/rwZR6KnDBG/Cz7okiTi6CpeAGjy3x3gX1DrdbAFXRi9zHa/2hUqFIlkJYA+MdA/4Mx0JR9waq74MXxtiaeuPcK2A7ZIMXKqAaasEPGbAZxoMXtsIe69n/bFuqDoaNVp2bxHZnbns0z9QJHsePtwKgtb5dqQpbVO4BN6SBDwKQCyVQCaPhAaU2w232mRjh7vP5gBkzZhjJnpmZefzxx/ewgX3IR77IYbqNp84AT/f1HwWj4WmlNsINUWRuj7L3s846SynlcrnM70a0KHbCir5Ptxtvdi/AXwpBuAx62HbDLAAehRxohUb4fKi4TwAAIABJREFUC+wHBeBPULsvj7naJHIGTFYqudp93xfuPZg/f77zx/vvv7+4uNg0Xx0yZMghhxzyi1/8wsj3Tz/99PHHH+91QqXUf3GGe9IT6kOYL9D04TZdLlc8Z5mA+IaGhr4sThAEQRAEIXFEuAuCIAiCMBB0gYIABKAT4gzTbWtrcxYvX6b1RqW0Fe5pkAUmPyTi6bNhoTXsLvDC51Bk07pN69T94UKlGiJFbbxnq61Nf9RSeA1OtkfPhzfgIFu9bhqojoZ3wAOjrH41zr0cdliBazLcBzmO7oUK2GIr04+CFhsgsx+sg2LIg+1QYl18IUQLX/BE2qmUOgeutve4TCljt71QBi4bomK6mFbBs0rthHVw6COPKKXS09OXLVt23HHHGcne3t5eW1u7Y8eOhQsXAmeffXavH2VsjOleoNRRUAJZjkPldlX7watKbYNP4J7oVldr/eabbzojZRLV7sAJWgMPKzUaiiAL0uGJmN78AnjUkY3TDL+DA2y8+5NwfqSzehj2gbHtzsslV7sPcNPU5HLppZeGtu+8887y8vLs7Ozy8vJBgwaNGzfupZde2rNnzzPPPEP0d0tG7CZxSftOhfuFF1540kknJbd+P0RGRoZSqg+3GedZr732WkdHx9atW/u0OkEQBEEQhIQR4S4IgiAIwkDggg7bLrXTRrH3SnNzc489ARsp4wK3NbMxnPt1dsASpXywHkZCJrht/PpISIMCmKOU6VYaEq/naf22Un6bx5IPFfAUnGsnPxHehhF2QB4MgnHwOpwCwyHLYdXLYJdVtyZPJuTcc2APVMLnUG8jTYDNkA/Z8LENoqmGMhs144p0v7uBKPHuT8NgpW7R2tya2TlZqUttco4pLfdDDhTCIBgOtRde+B4c/dxzPSR7KpjveB8Q2umCTMiAXCiyvVWfV2ozvBczkdztdhv5q2yIiiGa1O6RMwPMshvLlRoDGh6FtOja/QIAHrYLPg5aoQL+DOXwMHjDzj0jjvcBqeaM6N/zSIj/uAr3GPz4xz8ObS9evLiioiInJ6ei4t+pThMmTJgyZcq2bdvefffdFStWhEYmPcN93xHuhYWFcZaT9wHzBZpEb3PKlCnTpk3r9aypU6dmZmZ2dXX14Ss4giAIgiAIfUOEuyAIgiAIA4Gxw9qmysRJfX39rbfe6txjhLvLVriHksVjOHdAKaVtDfU2KLDtMXNgEPwVKiHbJnHPU6oGHtUa+LrWHyvlscEyRVDVPdT76/ABVILfJs90QQcsgxlQBVnQAq1QCCWw09rtobAJKqAF/JAL9TAUNli3DgyBjdAEWfBPqIVC2ACDAUe2jJNOyIz+PBfBIvsoDEazTnY8uhvBBOlk2faqg6FhypRmqHZEzaSU87Q+D8zCtjticEL146UwFMbCz5T6DBaFrcpEypjtHlHvRnD/E26KcvXwlPMztAaeVOpAKIGHbYxMRMyhB2wzWPOpAathMDxg+/qGMM79C9fu/W+p+t8k3J3MnTs3tL148WKzMXTo0MrKykMOOeSZZ56pqanZuHHjPffck/RIGfMXV4rqyhMiKysrdcLd6/WSuHAfPHgw0OvDSUtL01pv27atz8sTBEEQBEFIFBHugiAIgiAMBEboaghCIG6vd9ttt02YMMG5pwvMmabC3ec4FI9zNzXUW5UyAjcTCuEACNjeqsbnlsBNSjXAdpgI34ZC8EI2lML+cCUssTMfDGuhFHyQZbvCfhOWwDUwxMa110ARlDqce5XtsWmcez4AbbAOam0t/H6w3hHvbvJkcEj5cGIosXUw0sbLPKU18O/HO368GVC8Zs2NYWddD/ndo2Y+gwcGxKua35N7lRpro11CvVWzbRn+MHhZqWr4AH6mNdb5hoR7iB5R78A7js+xB6G4ldCJ52v91ltvvTZx4nfgNsgJU+dOLoFFNrjffHzm9/h1WGC+UdH9WvsI/dfuKYr53kdwVknfd999paWleXl5hYWFI0aMeOmll7KzswOBwOmnn/7SSy8l5XKmwn1fEO59Tn2JB4/HQxzqvAe5ublKqV7P8ng8gUDAxMQLgiAIgiAMDCLcBUEQBEEYCIz7/MuVV9bX169fv77P83TZSBkVJtyxYjSadg/Vue+y/TlNDkwlPAffsDXU+ZAFuVAIZfAZDLOG14yvgK/AGfDNe++97LLLgP3hc0izDVRNTv1EuBWuhwrr3HdDcXfnPgzWO5w7jjuqgTbwwXD4yBr2MqiGSijo3kA1xKCYT2+k3TDxMpUPPHDeeeelpaUFg8EnnngC2D1+vFGKzpr3myNNNVmpg+Af/ZOzcXKZvcQLSg2GPPDbBP8M2/F1sO2tugkOX7nSmeEeEe2Ii/ktPBRlmFHhod+o8ePHn3rvvUfPmQP8Rqmb4frol7gWsK8raiAN8uD7APwcfgJFcEVcD2Cg6Zt2N3++/vsq3KMxZ86/X5pce+21o0aNysvLCwaDpaWl55xzztNPP7179+5169Y9+OCD/bnEvlPh7vP5Uirc+3Cbfr8f6OiI1j0aYPLkybm5uV1dXY2Njf1aoiAIgiAIQiKIcBcEQRAEYSAwwtLj8fj9fiNK+kano8I9DdIjjYlR6m4E1j9gEPjAC1lQDIdBB6RZaZ5mM2RMzszfoQC84LPJ71VwDLS0tq5atWrixInAR3AQ5NkGqgHogjY4UOuPlCqHDPBbS14KQAt4YTh8BoOhDZTjjjbCEBvyfgD83fr6StgAw8Js+1oog04oiu9JLgIuuWTp0qW7du1asGDBueee6zwaHjUTzj+AZNREx8+Z9iorlSq1r0BCATj5trfqXq2dkTKxMYL4W/CSUi9GGWO0+3JYs2YNcNlll2mtj9MamKLUiCjvJAzm0I+g2PEFhR/ao3+GO+NZ5RdB3z7ZL49wD7Fo0SKz8dZbb3300UelpaW5ubkFBQUjRox47rnn6urqNm3adMcdd/RhZtOFNbZTHhi8Xm/qhHtaWhq9qfNwMjIyTAPnGGMyMzOB2GMEQRAEQRCSTlz/P0QQBEEQBKGfKNDQ2dnp8/kKCwv7PE9IuJsKd2+UYTGsn1LqfKiDDnDZbqhD4f/gEq0VtEAAXJAOmTbH/LfQAF22hr0ERsKeuXOBO++8EzgRPoNGCEI65EI5jIG7lDpA613QDi7ww067Ej/4IAcOhS323JAZOgI+hXowfWO/AsWwHYBhANTZkRvsbLlx2/YQs2fPvummaGHmvKj14B/9aOaqVcf3Ns9kpcx/CV6/j3xX68O0/gNshDrHsy2ECjvG5XI9r9Qdca/qdK1f1PrI6AOMdjfOXVlO0fpArU+AudFPBO6C4Vp/AP+CWmiBNgCOguUxo2m+cOL/WM1brv/uSJle8Xq9U6ZMOfnkk995552GhoaMjIyqqqpjjjlm+fLljzzyyPz583tkZMXGvCDcF3xx31Jf4sTErCd6m+np6UBbW1uMMW63OxAINDU19Wt9giAIgiAICSLCXRAEQRCElLPQFpwfumSJ2+3Oysr61re+1bepOsD4PNM3NZpwp7dK2/XQCtqRzH4gALO0nqr1Bmiw7tsDPqiAz6AZtPXpg+BgeGziRK/Xa651LHxu/XiGDZ8ZBwuVegt2Qwd4IAt2wr+6r+dQ2AB7IeBw7t+EQVALoTSEctgMTbDVpspsgVJYC4NhXfT7rYH66EdjZN/v2LEDaLrrrhe1flHrU+BiuBpuiDJ+IM37DK2P1fpArT+ArdAIXeC1X3FwuVzj4BtwPvxMqZ/Et6QrtTZ3enako2eE5a0b7T4DDtM6djH4ZKUeg7Fa/wm2QBM0Qxs0wwRYDufFe99fAHF+pl+qSJkezJgxA0fnz5tuuuncc8+dNGnSa6+9tnPnTrfbXVFRcdhhh11yySWPPvponObddGHdR4S7UipFtfZut7sPt2mCaFpaWqINOPPMM81XBGKMEQRBEARBSAUSKSMIgiAIQsoJ5ZJr0FpnZGQUFxcnNMOECRNMtnhIuJsKd0/Ms2JEup8En0EmeCAD8mG4PeQcfx/kQjq4YS9st007TbDMEPgWrJ0z50yb5vxVAGrBD37bQHUiAE/BN6DY5tgA/4JxsB3K7bn/B8MhFzoc7xKG2L6pH8AIGATroQg+hxLYBjthfxs4E40iqHM0Xw0nFHDfg2efffatt94K5aFP0Rq4TqnD4TLIBC+4Qdvk+lvtiQMZNXOK1sAdSh3ieAgulysPsqEAymE4vKzUVvgHPBbHqk7W+mR4WKnfhh06A5aH7TS/Nrq3KJ7QoR/C/lAEfmiDoA3xJ74eqsu/iFarsT9T5xP4EpKXl4dDuId4+OGHQ9umz2pZWVlpaem4ceMeffTR6urq3//+985erCFmz5590kknBYPB1tbWlK48HrZt21ZUVJQi4W56wyZ6mx6PJxgMNjc3RxuQmZnZh2kFQRAEQRD6jwh3QRAEQRBSjsdmuGuor68vKCjIzc0NOfSEaOseKRNbuBuiRbpXQyF4IB1yoBzmKXVb9zFzHNvPwjrIsSHvJvx9BOyEMhgBtWDUWiE0gK97zPq58BIcDoXdnXu5Y8w34LewP+RDB6yGA2AwDIdP4EB4FzbDEADq4DPbJfXDmLbdEOjtX34xhGmPBqQL7ZiHlKqCPMiwry4WQBe0Qys0OvzyAJj3q+wlql9/3VS4d9qvFJi8nWLbW/VZpT6A2+NY0iytZwFhDj2U6t6D0G+a1jp2SfgeWArHwDgohkyr3dsh33GJaAy8bQ8xWamIn+aXPFLGtKaInXIe6rO6dOnSkpKSsrKysrIyY943b958883degFkZ2cDWut9IRHF5/ORsjD0vtWhm27Pe/bsiXj09NNPLygo6OzsrK2tBY499tgkLFQQBEEQBCE+RLgLgiAIgpBy2m2Gu4bRjzxSd9112dnZ+fn5fZjKDQEAFLjiEO4xwlLGw2bwQxpkQhGMjjnVVADesHExoaD2cfAaHA3FcDM0wJ2QF2mG0+FlOCzMuddCyAZ9G1bCOMiH8bAKNkEVjIZ/wGGQCRthPyiA3bZMfiw0RLloiDi/UxCx1N10NQznIjvyWaXKbRdT03jWDzmOkQNp3rXWLpfL5XJ9CGWReqsOgSpYrtTyuNcTsYtsxFJ3Q+gXL5oZX2GGwQswAg6BEsiCDGiFdsen+QW69WhEK3X/MkfKGCUdZ8r57NmzzYYx78XFxcXFxabD6oYNG0xbCJ/PZyJlGhoaUrfsODHBWbED0/uMy+Xq6upqbGzsfagDE0Szffv2iEezs7PNggOBABCjEF4QBEEQBCHpSIa7IAiCIAgp52rr4DQEoa2tzefzFRcXJ9Q/0NAKQdCRKtxVJGLPtg3aQIEP8qASftzbAk6EbdAKCvzW3h5re6sOgmFwe/TTT4O/Qi10OMrkC2ENbLNjvgvvQg20w0R4x+4/yOa8l8EngD3X1IVeADV2pIlrNz82ONq0xkmPR6e17lHhHs5Urb+l9RFafwY10AJB8MKCsJEDlvCulPq+1odrvRo2QK39rIuhBIbBIfBjeCWR9cx4883jHn7YKZrDU917sNz+F5GX4GTIg7fgVVgHddAJ6dAKexwz7IOYj7LHn+IvbYW76eGZaFvR2bNnT548edKkSVu3bnW73ZWVld/4xjeeeeaZu+++Oz093Qj3PnwTKOkY4Z6iMHSXyxUIBEwpevyYhqhvvvlm+KEf/OAHaWlpgUAg9K4iUZsvCIIgCILQH0S4C4IgCIIwELRCBwRAQeeSJS6XKzs7u6ioKNF5WhwZ7i5Ic3j2PqzqKNun1GOL3A+I46zDoBY6IQ2yoQRGQDVkQA4UQCk8Et3DRnTuRbAWtjrG/B52QRtMgsfhUwCOgLVQD4Ph7wCUQw00wnIogh0A5MNu+2Me9CLLoxB6sKZgPM6zTtH6m1q/DZtt49kbIw1LaW/VUNNU8+NFWk/Q+iCt50E1NIKGDCiCoXAgzE3kNYCyxd3h2j0e8x7O7fAMHA/7wZ/hWVhrfz280Ap7Hafvg+a9eM0as/Elz3A3PTz7nHJ+6aWXTp48+Ze//GVtbW1GRsawYcO8Xi8QDAZPOeWUpK60L6SlpWmtU1Enfvnll5v3Cq+//npCJxrhHvFQXl6ey+Vqb29/4403gCuuuKKuri4JaxUEQRAEQYgPEe6CIAiCIAwEoeB1F7ihpaXF5/MVFhYmWuReDwFb4W6Eez8DN3baxJtQkbtJWdYx+QgabRF3DpTBAfBXUOCFTMiFSfC7KBc9Df4W5tyLuzv38+AXsB1a4GwYCv8E4JswCGphJPwRgCGw01ZDl8EWaIJi2G5DXTJ6ewiRU5ABOANOPPHEGTNmJPTVgdlaf1frr2n9T9gGV0YfOVmpm5Kt3Y3zDX9J8KLWX9P6x3AxXAiz4DKYB4sdi+nVvDvvvYd2Jw7zHk2a3wJj4Vg4HD6CW+Ej2A3t4HFod/ZV5260u9b6S1vh7vF4gH62FX3yySdnzpx52mmnvfvuu2bCQCAwefLkBx544KqrrkrOQvuEeZ2QinCb3NxcpVQ0dR6DaGedcsop6enpgUAg9HogGAy++OKL/V2oIAiCIAhC3IhwFwRBEARhIHCWpbvhzjvvVEplZ2eXlJT0cqbFeN7LbYY7Vrhn9W9hq60691jxPS6OKt2Ttf4cjM7JgHyogK/Ar2zojRt8UAt/ijLDqfA3qOvu3Jt/9Sunc78aRsNWaAYNo+Bde2gI7IIDoR0+hxGQC3XQDoOtfzfF702QCbE9WUd05x4jozweBX+O1sdpfaTWZ0a/+nhYrtTtydbu0ZYUbsnDiabdIzbgNRMmZN4javcr4EbYH46CH8JmWAL/gp3QBmnQBo02OH4f1O5f8qapRkknK+V84cKFRrgHg0GtdXl5+VFHHbVs2bLbb7996tSpSblEQpjA9BdeeCHpM2dmZiqlYjebjYhJfg/fn5+fr5Rqa2t75ZVXgLlz5/ZhckEQBEEQhP4gwl0QBEEQhIFAg/vFF4tXrtx93XVumKxUY2NjZmZmSUlJ7CL3NZbQnh4V7r0K92hV6uboVbAL2sEFGXAozIrZajXEUVrvtCdm2nySY2Gq1p/DXmgHYJstZu/BGXAq/LW7cz/ypJNaV6z4ADY7Ro6DzdAEGg6C39u092GwDVqgzAbOFMBeeBuGQy7UQxlkQX1v/VSB/hup2Bn6p0XX3EthDBwNryh1TzJyZnpEykQkoiXvQbh2X7x48TPPPBN7zh47e9XuPdT55VAKI+BImApb4Db4AHZAC7jhaWiKW7sPvJfXWg9MRv++htvtTm5bUdOpOBAI/PCHPzzllFPq6uoyMzNHjhx58sknP/TQQ/PmzUvWheLBCPdUzGyazSbqxGfPnq2UCk/MP+usszweT1dXl0mEnzBhQt/K5wVBEARBEPqDCHdBEARBEAaCIHR2diqlfD7fegB++tOfArm5uVVVVRFPiVY33UO4O/NSYoj1cEKHvgJNEITM7lfv9aYO0DoU5p4FJTAc7lbqSq2naT1F653QDOtgu21kGsKY0HDnfvj3vjcE/gIbHYMPgY2wF4JwFLwPnwMwGqqhCYbAPwAohmG2jWo+1EMr5Pd2IwFog15Dji/u9YmE0cO/L49ipW+CChgFX4Vz4cH+afdokTIRMeu5EG6KMiDRrPlEtTth6vwCmA1lMBK+CufBVlgIf4Vt0AwueNpOGEO73+cYMwCYuH+jZSf3ta3Cfy5JTzkPCXfz4wUXXHD66ad//PHHXV1dpaWlhx566BNPPLFo0aKBSXiPEZjeT0yz2USFe2FhIZFa1GZlZZnmria9/eijj+5b+bwgCIIgCEJ/EOEuCIIgCMJAEICOjg6llNErhhtvvNHj8RQWFvZwRrFTwrscifBuyHB49kRXFTqrHLxhR+Mxhh9ZD+6FXCiHMXCdPfFSrc/R+mP4E1zoiOF2EsqW6XRky4yGNfCZI+nlCPtjFxwHf4DPADgQNoIPRtkq9TLYBY2wFkohAxp7uwsTp1PQ27AHe30ccRAy7z0s8NX2AY6Aw4HETXcI85kmJHyP03q01ufCDXB3pDtNonaPM2fmXJgFZTAKjoKZsB3mw1/sW5YnoS2mdjfdCO4dWO0eqoM+40um3U2F+969Ef+U93FCHMLdcO21106dOvWUU06pqanx+/2jRo067bTT7rnnnksvvTRZ1w3n8ssvd7lcKRLupjdsok48KytLKfXss886d5599tkm2Oe5554ze7KzsyMWwguCIAiCIKQUEe6CIAiCIAwEAWhra1NKGb0SoqOjIzMzc9CgQSZYJp6GnCHhbuLg02OPjoMYpr7X9TQ880wozD3UdvUrMM1x1nytZ2o9EWqiuO9TbOyM07kfAT+H7Y749a/DJ1APnXAWVMKHUGf1tCmT74LNUAXZUAKmgWN2pIvucmy3Q26MmwzjvDhi7uOhR6bKFZAG2VDqGPOUUvMSlLbxRMpE5Ptaj9P6bdgCd0YaEOoOGifRUmvi1+7nQRaUwyj4OlwMO+En8EfYDI3wRG/a/TLHRVNNeNNUo91Tf+UvHiPcV6xYkdwJo2nuiy+++Mwzz9ywYYNSqrKy8phjjnnkkUeuu+66ZF3dSV5eXuqEu1HkiTrxlStXLlq0yLln0qRJmZmZWuvGxv//t2xGRgaRCuEFQRAEQRBSigh3QRAEQRAGgi5oaWnB1jOGuOWWW1wuV25ubmVlZTzFsFrrTkekTFKEu5n2w+hHYyzsscceq1+5cocjzL0QhsIxYSNnaP227WIaTkTnfiqsg2pH2Mt4+Jd1624YAZtgNwCDYCe0Qrktfg9FyoRYZze2QglsAWAXDIp+7xFZZvND4kzv6ZWQKb4C2rr/C/Ug+A48p9RNcXvbPlS4OzlD60O0/g1cBbdHGmCq3eP3yP3U7mfDeXAxzIN7wAjdZ+AGWAOfw544tPsAEKNp6peh1N3lciXlLZRzQsIq3Htw9dVXT5069Y9//GNLS0tBQcHBBx/8+OOPL1y48MQTT0ziSvx+f+qS0E1yTkdHRz/nKSoqcrlcbW1tzz//fGinCYjv/+SCIAiCIAgJIcJdEARBEISBoBNM2ILH4+lxqLa2NjMzs7y8fNKkSdFOHz9+fEjpdoJReip5wh1Y273ouwcxdOHtt98+e/z4Hq58BPw07JSpWr8HtdGd+9+7O/cFMBy2wGaoscMmwmDYZcX0OPgUtgOwH2TbSPd/ATZSpskmwo8EoAYqYD3kAJBuzXuihJf/J5ShH44xxSPs7RgKYQiMhfGwXKnF8b2VoR/C3TBN6yO0fhn+J/qYJGr3iOa9V3X+Ihyg9WyYBuc4ZotxbrSo+qQQXuEe4r8+YSbpbUVNhXs8WSt33XXXtGnTTj/99B07dpicmTPPPPP222+fOnVqUlaSkZHhcrlSlIRusu/76cTPPfdcj8fT2dm5fbvzLw/S09O11u3t7f1boyAIgiAIQmKIcBcEQRAEYSBoh5ELFhAm3JVS9913X2dnZ3Z29pAhQ8aPH9/jRK212WkyZ4CO7hnu4dnrfeMUretsu9GIxHaFH3YPcy+D0Y4w9xC/mTXrfai3KTQ9mORw7ufDU1AM+8Eu2Nj9fUCV7Z8JHAn/gM32UD40wAj4C+wEIAvy4WNbKV8E26AccqEOcuN4aRHxDYGhV4XaBwV/pMMXa/BBAVTCGPgGvKLUTx2NWCNesW+RMuH8WOuva/2i1pdEH5MU7U5ftbu5dI85Y2j3G+JcaF+JLZ3/ixNmUlThnpDmnjNnzpQpUzZv3uzxeKqqqk444YS777571qxZ/VxJ32LW48S8V+iDE587d+5hhx0GnH766X6/PxgMNjY2rlq1yjnG5NW0tbUlbbmCIAiCIAhxIMJdEARBEISB4BqtAa11Wlra4XZnyJYuWLBAKZWfnz9q1KjQKdHkbLutcDeRMj0L5vvBZ9ACMeJ+Y0S6f19rZ5h7vg1zn27HT5gwYcKECWvXrt1w993/tM49vKoz5NyftIHmxVAFjbAOdjheCexvU7yD8G34E6y3fVlLoAbGwodQDc2QB2Mc1n6QbaxaYONlYhPozbknVLkcv39fDkNhDwQgHfJgkG0i+iu433F15xqSUuHeg/HRRblhILX7I/AUPANPwFK4GVYrNT4R7R5x/oT2hxMjUqYHfW6Huy/jcrmSW+FuDH4fNPeVV145derUtWvXaq0rKiqOOeaYe++997LLLuv9zCh4vd7UtR413wxobW3tfaiDSy65xBh2oKCgwO12t7W1vfDCCz2GmfL5RCcXBEEQBEHoJyLcBUEQBEEYIIJWuLtgaFih6/XXX+/1eouLi88+++zYHjate6RMEoX797Sugy6IrbiimdyjtA6FufsdYe5GtYeGvfrqqydq/RHsga4ozv0DqIF2cEMmFMEQ6IKPu1fHHwTroAE64TSohK1QD0AlZMLhUAo7rIg/DDJhKzTbxqq1UBHHk+mEtigdX3t9LL3Sawn8WKiy3WJDXyAYAYfDyrA1mHD5/qwnBuevWHHy00/HGDBZqduTp93DzbtR5xfCudACabZP71j4FvxWqWPgRa2/Dwvg4e5Txdbu0dR8aH88xIiUCee/TLsrpVIh3Pusua+//vpzzz33vffe6+joKC4uPuKII+67777LL7+8D1OZryWlSLibFxWJOvG0tLRgMFhTUzNjxgwTJrNs2bJow5qbI36hSBAEQRAEIVWIcBcEQRAEYYDYC8Fg0O12r/7udzMixZjs3bs3IyMjWpj7wQcfbDZMhXuob2oShTuwCVpAQ+wMgmgyd6zWPcLch8MP1qwJDVi9evXq1auB47X+xDr38DCFk+FPsNsGtYecuwf+AXWOevOjoBRqregfDp9DjV1/DuyFSqiGBgAyoQK22R8LoTqOx6IhK45/OCZa6h71cpH8+4Gw1r6HMLX/pTAc3ot0OuByucKL3/u/MKVUDFEOvAcrlLo3Qe0+LsrR2Nr9HGh1aPdx8G34tVL1MEbrNbAIHu0+VUSbtWIYAAAgAElEQVTtfhXcF3NMtOau4SQqnf9rnHuKKtz7qblvv/32adOmvfHGG21tbUVFRUa7/8//xGhMEIEtW7aQstaj5rk1NcX4Ck0E3G53IBDIysry+XyBQKCuri7asGAwaNqHCIIgCIIgDBgi3AVBEARBGCAu1doI94KCAh9khw247bbburq68vPzR4wYccIJJ/Q46vf7zUaro8I96cL9eK3roQvSYC+sjT7SaNzVq1fPmzfPuT8U5p5ua7HHwDfWrAmp9hATtF5nB4c797PgN7AT2kBBBhTAYMiDd6EGGh3V8ZWwE1pBwVhb9m5KRguhHvaDz2ykOzASfDZepjKOx1IMPsiMYyQpKC0PmfcTtD5Y63/CLmi1ryKK4VP4W/fx4ctQ3en/qmJo92VwDPxaqXvivtANWida8G60+AWwA9rAA3kwGA6E4+AtpTbACK3fgTu6T0WYUr8D5sBP4AF42qHd4yfz/PMBrXUgEEjkPPhvKXVPeoW7+a5GUurKn3rqqQsuuGDKlCmtra1FRUWHH3740qVLr7jiijhP//Wvf33rrbf+6le/6v9KwjHCvaGhIdGznn/++czMTK11Y2PjSy+9FHGYEe67dsXohy0IgiAIgpB8RLgLgiAIgjBwBAIBt9udnZ3tBX93gWgk6fz584GCgoLRo0c7Y1jmzp3r8/nMdgsYpWciZdKSvcj10AzaGvM/xxxspNjUqVNDe1ZefPEmO0MozP0wmBNJKX5T6/UO596jDvMCGAHboMU6dzNbJfyvdfEh5z4MtkETaDgcPoRQD9gyyIDRUACf2+p4H5TA5/E9k9r4hoVIYlF5OD/Q+lCt/wbbbbqOH4rgM/gAsEXWsRfQZ/neY3w0S25KyyfACqUWJXKJ2OXzEbV7FcyEndAOHsiHIXAgTIQ3lXofhsbMdg+J9VsgAzbAw/BMIlXtgM/nM38W+iyd/9O1+5IlSx5++OEkTmieZ3Lryo12f/zxx19++eX333+/R9rVwDN9+nTzoiKaMY/GY489lpubq5RqaWl59tlnow1zuVyBQOC1117r90oFQRAEQRASQIS7IAiCIAgDRyAQcLlcmZmZXsgAr93vjO2eN2+e2+0uKioaO3ZsSAYppULCvQECjkiZtGSnUnxH6zroBLeNYn815vgTTjghLS0NmDVr1k033TRs2LA/3nHHju4J7FVwNJwVaZ1f13qjFeXpsCdswGibum4MvmkcOg5+CduhxVEdPxryYS8E4Fj4E2x3SPwsaIZy2GJz3oGh3ZvEhtyemdOo+T7nH6fOuQOTtT5S67eh2naO9UEBrLfBL/FfPX75bmYO3/9ilPr0hXAgnAC/UGpeirX7UJgJu6ADvFAAQ+EgOBFWKoVtqXpvpElC2n0azIfVsBkehagiMwyv999/mvtQ4e7kP9q5Jxdjotvbw7/90l96fNvmC9TuxcXFSqk+/M6UlZV5vd729vYnn3wyxjCXy9WHrrOCIAiCIAj9RIS7IAiCIAgDR2dnp8vlysjI8EAoVSa8SebcuXM9Hk9JScmoUaPMHqVUyOjN0doId6xwjzPqJH7WOYrcc6DcoSkjMm3atBtuuGHkyJF+v7+pqendd98da629SRsvgeEwMcrpX9V6k3XuPpuu7mQsbHYMyINyOB4+tC7eKc2LbBvVSVAJn9uEdyAPvLAffAo77HgPtMN2ALw2iCYdmiEL6sEL7vifXXdSWuoOnK/117V+CzbZQPx0W+HucrneTnzCfsbOhIvyK+E2+ApMgueUuijZ2t35x2c5DIEZsNtqd9O59xDAuuzH4Cdwf/dJQqcbnodr4c+wDR6Hn8exVNNXs2+RMj34Ty91TxYmw72tLXY7ib7jdO7nnHPO4sWLp0yZEnHktGnTrr766rFjxyZ9DdnZ2UqpRJ34rFmzvF5vZ2enCZePxuzZs/tm8wVBEARBEPpJ0r+ELQiCIAiCEJXOzk5Tq36J3RMttmL37t0lJSXl5eUzZswwe0LCHUekjMu2J00u39V6rVKZYKJvCmA/OA+ejFLgDNx8883AOeec89RTT5k9f4cjoRA8kANd0AH3K3VpJIV6uNZ/V2ooZEIGNEBe9wEHw19hCGTbrBsXuGA9BKDCFtSbf9vNgbsgH9Jhf3gP9oMWMCn4PmgBL2yEIjthi02uz4AmSLfh+NlQCzlxPLTwNYcw4RhxzNFHLrOT/0apUkeGezl8DHuhFrbCBQlO6/yszZzRKtx7YCy50xrPhfuhEAbDE0q9YcfEQ/hsTiYrdQa86FhYqFy9GnIhvXuD4gPgETgMboQyuAgIC3Y3Pz4OT8FfYDg8AT6IrGMBcLv//VImWX5zslLxP6J9gWuuuaa6Op4OxHFx0UUXTZo0KRgMtra2JmvOcIxzv+aaa4DKysrCwsJbbrnl7bffXrFihXNYWlqa1joVrUczMjISdeIXXHBBRkZGV1fXzp07V61aFWNkQUGBUiopIfiCIAiCIAgJIRXugiAIgiAMHO3t7Uqp9PT0XkcuWbJk79692dnZQ4YMGTZsGGHC3Vnh7k/BUj9xxLzkQBkcCUSqx3fy9NNPh7ZP0frT7g1Uy2EMLI5iTr+idbVNXfdBPazvPuAwWA97IABeu6rhUG27pHaCqRRdDoMdbVSPgHdhJzTaqfzQ6qh/D+3phN2QBU22ar4eciEjjiembARN5KMpLnU3HKf1gTZGXCnlhmwohWHwFXgLltoWrInOHFp//HfRoz79UiiFkfA1uAgeSPBpxK52n6xU+H1V2vclTuN4BJwLLjhA69Vwi+OQM9vdcC4shTz4EHbDMnguygJMqlJSKtxD/MeVuicxvSQnJ8dEyjQ1xfhTlRxuu+226dOnr1+/Pi0trbKy8vvf//61117rHJCWlpai1qMmKCz+5zZz5syMjIxAIFBTU/Od73wn9uCsrKw+lM8LgiAIgiD0HxHugiAIgiAMHG1tbXEKd2DhwoUtLS1ZWVlDhgx54YUXTGaFoctmuJu+qfHo4ET5gdY10AEuW+ReBRcqRW/O3SlkJ2i9yabThFqeHgTXRdGIB2m91dEitSDMuR8Fa6EeusBjw2r2gz3wAdRAu3XuwHDIgSYIwnehFLZAnQ1qz4YmGAW5sM2xJw+CkA910AoF4IvvibkgALHzL9SAKNRQhfsuaAEXZEExjICvwWtKLbJ6OlH5fvLJJ5911lkJxc44LfkMmAPlMBqOgVVKLUlcu4+Pcsjo6fCbqrDZTcBzUAqj4JuwRqktMFLr6XC7Yx6j3Z3NVKfBEvDDWqiDpyNpd7fbbZ5G0hM8/lOce3LTS0zpd4rqyiNyww03nH/++du3b/f5fKNGjbrnnnvmzJljDrnd7mAw+Oabbyb9ouY1apxF6NOnT/f7/cFgsK6ububMmb22k/X7/UByu84KgiAIgiDEgwh3QRAEQRAGjubmZmzcM7acNoZQu/7660PO/X//939D+zshCIAL3N0TM5LIv2yRe6ic/DA4//zzr7/++ltuuWXRokXRTnSq2CO13morzY24HwKHw+wod715xYpt0GobrhbChu4DjoEPoUdA/H7ghv+DHdDiKHXHtlHtAi8Mg3XWpJtDDdAFJbAe9lrP3mGL6DMSSW/Phq7uxdQRWZ7iZqrYDHel1GFavwfboAn8kAODYAxMgOeV+pFdRt/kuyEe896jOP0CyIVKGAvHwWtK3ZjIA7lE6xe1nhzlaKgqvMftGIFuWvLmQAWMhe/ACqV+D1VaXwp3OeYJafcQM2ERuGE9NMLP4QXHURMpo7VORUHxvl/qfsYZZ5DUCndT+h0MBp1J6wPANddcM23atL179+bl5R1yyCGLFy+eOnWqEe6puJzH49FaxyPcZ86cmZOT43K5Ghoajj32WKDXdrLp6elaaxHugiAIgiAMPCLcBUEQBEEYOBoaGnAI96NhVG8tZULOfejQodOnTzc7Ox2RMqkT7mdovRvawWXrzYdC1rJlPp9v79698+bNi7PU/UCtd9p5MqEIquDoKG8atNbrX3vtAoejL4RN8H+OMcfB+1ALHdbLF8FQKIc3YYutag/Jv2Kr0dPgEPg77LLxLyVQA51QBZugBkrBByaMZYfjorvjeGLKvgjpfaRSZ6dMoYaEOzBF669q/U/Ywf9j77zjpCrv/f8+M7O996UuvXcEEYwBREkUaygqiDQRlCJFQECBGMQKEks0Bg0RjUKiMRqTmBjMzU1uijG2YKO3ZYEFdtm+M/P8/njuM/fMzk7byv3d7/uvdeY5Z545O2zyep/PfL5UQwxkQEcYANfCjwJMboPle9jYu127z4S5ZicDYQLsst0AiISJSu1Uak6QZ4Np9yzT1++CDCiAwTARXrWsp6G9Usv8zxM4YmEerIdq0LeRXoVXAXA4HDSbcK/zpi5A2rRpQ5MK99jY2FYc+Llo0aI//OEPbre7TZs2MTExTqezmXai/7cgrHC//fbbk5OTgZKSkh07dmiTHrbdXsfnw3p5QRAEQRCEJkeEuyAIgiAILYRlWZs2bcIm3GMgPoKBnPfdd19lZWVycnLnzp3nzJmDEe6+SplmEu7Av4y8jjVt4INg//79Dz30kF4QoXN/z1Rp+zLpXeFb9R3i9XodDkePNWuOmz533UXTAf5iW3Y1dIBTZlaqzsJrj/xnU/Xutjn3tnAKqsABl0M2HIWzUAPtzaDU3pAJx6AcABfkwwFzhpwILldmuNsndq5ptqi7XbhrJirVT6k9cAY8EA850BmGwUzYEmQbjZfvgU/V0e5xkAWdYChMgh2WNT2aa3KlUjuVWhzk2ckBEX79n6lQBDXmOnSFEbAYnrOsi5XaqdTqICf0sRCy4BM4DW54zQh36pOnuwIObwwXpnPXOrgJhbv+I9lMufJI2L59+x133LF///7LLrvM4XAcOXLE1zDThOhxrKFD6HPnztWX99y5cy+++CImF19RURH65LGxsUqpqqrQNVeCIAiCIAhNjwh3QRAEQRBalPHjx0+fPl3/7II4SIpAor333nuVlZWpqaldunSZP39+jUlSa+EeE/rgRjBNqSLT5J5gCmFSX3jBvmbHjh1vv/12sDNo8TpfqY/gHHggxhTU9ICnAt641+u1LCsmJqan6XPH1v/+V//FncxkVIfJwneAfvAp7DGpdrcpbS+AQtNpHg+dYB+cM63raRADNZAPx033CNAZgNPhLpRvQeT1DTeZ6zO3qRVqoHDXjFOqu1L7zfDYZPNbuBRet6z7Q25DC+s33nhj164oBHKw2LtPu88EDyQa8T0c5sDzUV6QUUrtVOpeeCrgqTqpcJ92bw9JcAa8kGxq5UfDu5b1oGUNUuoKWBfyRWfBZsgzZUS+ShktT+3XaFIzOPcLTbvrBpgIu8gjodWFu2b9+vXHjh37/PPPU1NT+/fvv3HjxjFjxjTh+bVwDxFCv+OOO5KSkrxe79mzZ3/84x/rB7VwDztOVs96DevlBUEQBEEQmhwR7oIgCIIgtBquaIrCBwwYUF5errtlqv073GObbYdLliz5O5T6h9wH+K+pra21LCt0/NOyrOuU+sqcKg7SoC30gYf91aFPuAO9lTpq8ubaubeDv8FLtvVdTW+7b85qe+gDR+AfcNKk2rUI7A5pUGq8/wD4BE5BucnC6zKZ7rDfJOI12XDM9qKF5gdf54z+kkE5RFg8YRdszzf1MNVgwl1ziVK7TSOKE9JtheYvRWb/G5Z8DzTv2rnfDjNA2W4AjILfW9b3o7wgg5V6G9bDDwKeCqbdcyEezoMD0qCD6bexLGsu9FXqJng45ItOgj7wn7ZKGX3x64xd1dU0/x9H3XXJSRMKd5fLRTNMoG0AiYmJ/fr1i4mJ8Xg8ujmnCZ270+kMEUKfP3++b0rq9u3bfY9rk3727NnQJ9c2P6yXFwRBEARBaHJEuAuCIAiC0EIE2kmHaZVpH4E+czgchw4dOnv2bGJiYix4TatMMyXcb7vttjVr1mRmZh5au1Y3sFu2dpd7bLutra11OBwJCQlh62VGK3UIykHZBPoAWGM7mxbuWrcBfZU6Yma3xhs73Atetp25B/iy8PEmC98XPPArOGbq2n1tF5kQa/rfR8NuUyNjl4WDIce4eE07+ArOAdAGgFLINz+kQDG4IEIJGtgCtAuimh0agtDCHZip1CCl/gWnoAbiTEH/YJgMzwQ/UClV57SNMe+WZfmi7nPgPFiQAu2gN4yGdyxrUzTXZJZSfZT6T3gQfhjwbDDtngGFUA2xkAmd4bDZ53egC9wNTwZ/0UkwwVYp89v3338NXq5Psgc2wjeSCyfqruvCm3A+54Uj3OPi4izLcrvd8+fPf+ml/77Z9/DDD996662NP7nD4fB6vYFt7Ndcc82CBQuSkpIsyzp9+rTvdTW6U/7ll18mJHpZSUlJ6GWCIAiCIAhNjgh3QRAEQRBajZmmVSYVssItdjgcycnJ69atKyoqqrZVyjiaQbgvWbKkS5cucXFxJSUlDzzwwB9MMj3GhNz72RZXV1dblhUXF0cEle7D4bj/QNSOcBHcZbyhx+OxC3egv1KH/Z17W+gJPwXfzMw+ZlaqT+XrNZ3hdThkUu1uW2g9wTj6qdAR9sM5/+A50AGOwjlTFNMD0qHInCTVpOD1D0kQF9m3Dc4HeXwDWJa1oNEKVWvKsAXx1yjVW6kv4Rx4IRFyoRuMgLeiNN00Lva+C3YqtRBm23L3uh1oPLxhWauj2cx1SnVT6kN4DLYFPFuvdi+AT+G06bfJgzO2Q0bBC7A++CtOAofDYVmWUmo/lIIDXoXK5sm21+FCcO6//OUvadL5nLqi54IS7sDu3bt3794NZGZmDh8+fMWKFY08uRbu5eXl9genTJnSuXPnhIQEj8dz8uTJQLHudDojKdvRJz927FjYlYIgCIIgCE2LCHdBEARBEFqTOEiHJMiAW0KKM8uyEhISgI0bN1Y1m3CfMWPG2rVrMzMz3W73oUOHHnvsMWCpUoVQBZZR3h3A50B1PFMLd2zB4WD0h5NQDQ5IgmzoDJcab6hFkl24AwOVOgDn/etoesKVcKfttAchzrYmH7rBxfAn+BLOmqmtvhRuCrhMvUw/+DechgpbFh7oCXvhrM3U50ERnAc35EA8lJkfdNQ9LLXG9dfL041umPF6vTqKHkn3xWildoG+paED5m2hF4yB1yxreUCePZJBrw2Q71q774I7ociWNy+AQXAdvBrlNRmrVEel9sBWeDHg2ckB72uEUotgr6nvrzPKeDX0henwWPD96/P0hv+C4+Yt/BRofu1+IUTdH3rooQ8//LCpzqa7Vi4E4a7rrextObt37z548GBsbGzXrl0ffPDByZMnN/jk2omXlpb6Hpk+fXqbNm3i4uJqamoOHTq0Y8eOeo+KZD6tw+HweDy///3vG7w9QRAEQRCEhiHCXRAEQRCEViYGEiAFckKGVR0Oh55MiOkK15Uyrz7wwNuzZjXJThYvXtyxY8fY2FgdbN+27X/ywUOV8lWfJ0Mu9DVPlZWVWZalOyV8hDat70Ox0d8pZmDmtwBwu911Eu6aIWbap8+nt4HuMBYW+9YAcA5qTRg/FzrDYPgKPobTRvTX2mLmseAEB1wKfzaDVe31MhcZyV5mXHwBHIZS4+6T4bSJukeCAyoD0vR12AXfa6hCjVZTrlJqmFL/BSegClymOGgATIAXLGuK2UlU6XXfIVGZ913QDebBaXBDPORAFxgG8+GxKK/JxUpth731PRUoqXcq1U+peXAkoGJIcw0UwDJ4OuApX6XMJPg2dITP4Ax44DXTgNTklTJ1aHXn3oTohHskWrm50cK9TlvOxo0b77jjjurq6pycnFGjRi1durRhJ9dOvLDwv6dCzJ49Ozs7OyYmprKycuvWra+//nqIoyI5+YVwAQVBEARB+D+ICHdBEARBEFqOQO04AyyIhURIh+Tgxz700EM+4X7ODOf80ZYtGRkZPXr0WLRoUWM2NnHixJUrV6anp9fW1vqC7XU4ZkLuurOlI2y0LKC4uBhT4mwnhGOdC5+YdxFj0ug94EnL0iJJ67Y6XKTUXtsEV59z/yYss71cLhRDNThNgr4j9IMS+KPx6dgqZTROcMF3oD0chFKo9p+AWgBH4LzxsH0hE06akvdsk3CPhHSIAU84534fWJa1JHqL6quUCfylhOAmpfor9RkUG9OdDV1gKMyEJ8w2Ikm410tUsfdd0Am+grOm5iUfesE42GVZ06LZwyqlBppXfBZ+4v9soKTeqVRXpeZAURDtPgJ2wXfheduDvqGpwCSYBMMhBw6Yoayvwmrbuwt8v03C/zfO3eFwXCAJd13JUm89/aJFiwoLCxMSEnr06PHAAw9MmDAhqjMvXrzYsiyv16traubPn5+VleVwOMrKyp566qkQBzocjrDzae+++27L/DkVBEEQBEFoYUS4C4IgCILQynjBBfGQDFkhlZnPny5USifcb1+ypKKiIiUlpVOnTitXrrziiisasIF58+b16tUrPj6+rKxs06ZN9mC7neFKlRhFrsPjvWGyZWk3pHOgdQhhV6+FrwNaYvqYTGu9wh24WKmvwbeNVNMb8w1YZVm+12oHRaYpPgEyzajVNHgZDpvXjYUqOG07vxPiYAB8bqy9x9Yw0xu+gmKoNC6+PSSZlUSccNcrlekFCs0T0TfM6GsYrXDXjFeqp1L7oAQUJJl7IaPgDdsVbiQRmveLoQMcgCpwQgYUwFC43XYDIEL0dNa/wkl4EV6xPVVvH8tOpdopNcO/TcjHXdAb/gqbzSO+ShnfGp1n1586PZR1QPCGmSYMv18I9TKN58JJuMfHxyulqqoCPwUA999//9y5c91ud35+/ujRo+fNmxf5mdPS0nQ7/JgxYxYvXqz/s6Sk5Ac/+EGIoxYuXOjrlA9Benq6ZVlhvbwgCIIgCEJzIMJdEARBEIRWRuesdbFM6Ompdn/qq5S5ZcWKU6dOxcXFtW3bduTIkTfddFNUr75s2bK8vDygqKjo8ccfD734kNmtbnJvB5cCoJSqV7hjnq338dFwCMptk07bQ21trWVZwYQ7cImZ8+mBWEiFPOgGo2CtzQh3hmT/Uas6Dj8Sfgf74By4TafN2YBXuRT+DkVQAZbNjF8M+XDMFnUHsiAu+CjUYCRBQsSLd8FDEVtUn3APbOaJkFFKvQtHoQKckArtoA/kT5pUfuON85vO50Zi3gdDNpwEt5lo2hPGws8ta06UO7lKqY5KfQHnYEeAdg9cv1Opu+BWOGur/vfxLegAK+EZ/4S7j0nGpHeAPXAGvPAaLDXP7mq2YvdWce46qd0k6IT7heCL9XSKYMJds2DBgqKiouTk5D59+qxcuTLCMyclJWG+j5KYmOjxeE6dOvX888+HPiozM5MgiXs7ycnJ+FfPC4IgCIIgtBgi3AVBEARBaFG2bt1a55EF4DbZaj09dWqALNMmyy613aDdngPGrl+/Z88eh8ORn58/ePDgu+66K5KdTJs2beXKlcnJyVVVVV988cWzzz4b9pBLldLd67qtJQe6wXzLUkqFdrvBjOow8I1jTYQsI5JCCHe9jc/NEFSdc8+FrnAJrLcsu8BNhxJwGzWfazpSPoJ/QzHUgBOS62uDuR46w2FzBnsavRukmwmrPlLgVIhNB1AZzWLgXrAsa0UEItUn3EPcBQnLPKWGKPUBFEGN/wjTifBsU/vcsOa9APaZepZ06AhDYDo8Gf1Ohir1HhyFKnjFFKwTPOq+U6m5MBUq/FuGNBfB2/Ul3H1o7X4R5MBBKIfh8Cp8zzzVfM79f2/U3bIspdSFkHCPjY1VSlVUhJhzDLB27drPPvvM6XQWFBQ88MAD1157bdgzx8fH66z6iBEjqqqqvvrqqxdeeCHsUdqkhxXuesJ22GWCIAiCIAjNgQh3QRAEQRBalLKyssAH54ACl5memh0koBoo3C2wwAnZzzyzcOFCt9udnp7evXv3e++996qrrgqxjXnz5nXs2NHlcp0+ffrhhx/+2c9+FuH+vzCx8ThIhTZwEYQV7gSvl+kHJ6HahM1vXrxYKeVwOEK7wtFK/dvm3FOMTL/YzBr1vVY2xEGNOX82FMAAOA5/szXPJEIFFAW8UF/YA6egCjz+2j0XjpkZrZocIIIm93I4AdSXrA/Lo2CFKzGvra3Vb7/BCXcfNyjVV6kv4Cx4IdHc27gY3ras1c3gc0NUvQ+CHCiCWkiAXOgJo+ENy7ozyp1MUaqLUp+Z1HkkDTM7lboNboJJAdp9pm1o6vYgr6ij7j3MjRk3dIf5sLWZh6n+L3XuF07CPSYmxuv11vt3uw5PPfXUXXfdpSepfuMb37jjjjtCLL7++uv37dv33nvvud3u8+fPb9my5c0334xkP9qkV1eHHgDx38F8Ee6CIAiCILQKItwFQRAEQWhRTp8+/dvf/jbw8Wpw2KanptR3rN2f2hPuTtDTVBcuXHju3LmEhIT27duPHDly1qxZ9e5h8eLF2dnZXq+3sLDw6aefjmr/VytVZHabBFnQGf501VWhM+k+6nXu/wEpNic+aPz4AbfeOhnuCOkKL1fqEzgDNf7OfRhsMs7d93IJ4ATL7LkD9AEL3oBjUAY3m+aZeutl2sERKPWPujuhe31R9xBN7robPRbywWF+gw3g5ZDDS7WMC93MExVjlequlJ7/aUEKtIFeMB62NqfPrde8d4ZUKAUHpEFHGAy3gGWI/PwjlPqlKUqyR90J3jCjf9Da3S6DfQn3L+FZ/1P58DXM5MMBKINvQh7cDz8EAqLuTThJ9X+ddtfC/ULwxS6XSyl15syZCNcvWbKkuLg4JSWlV69ey5cvr3fN7Nmze/TokZqa6vF4/vKXv4QekVqHuLi4EJ3yPnQwP6yXFwRBEARBaA5EuAuCIAiC0KJs3ry5Xuk8DzxGnSdDZn3Kzy7ca42utUwdjWblypV79uyxLCsnJ6dv377Lli0bM2aM76hvf/vby5cvT0lJqa6u3rt3b9UPh58AACAASURBVCQNBoH8DUrBa+pc8qB/uBIYO4EKdTa86R9X17XsY+G2kKJwvFL/Ms0wLkiGHOgMF8Gj5kD7a7nMsrYwGG6ApdALDsCz4DavXgbHbK+ivWpP+AKK64u6t4Gj9dV8l/j/5zHIh2SIgQqzmcZgBcmYl5eX07gO93oZodSf4DhUgguyoAuMhJeaX+YGmvdcSIQaiIdc6GFbHJV5n6NUD6U+glPgiTjqrn++xRZO9wn3wfAuHIYXg7yib5hqqom694UkeBwqmm2SKv/bou6WZXm93gtBuDudTq/X+/rrr0d+yJo1az7//HOn09mxY8e1a9fa/wJfffXVixYtysvLi42Nra6uPnDgwKBBg6LajxbulZVhKqliYmIiWSYIgiAIgtAciHAXBEEQBKGlUUr99Kc/DXx8Nlghp6fapXaNcb464R5rW7Z169Y777yzoqIiJSWlU6dOo0ePnjp1KjBjxoyBAwfGx8eXlZU9+uijkdfI1GGWUsdM8Xo8ZEBHOBjlsNY6zv06+NQMMvWNQu0OV4YThVcr9U84bUpptHPvBENgs825hx3L+W/TG2NBAmTaCtl9PT6XQBszMbWOc+8BGQFR9zQA/gEnoBLy4QiUQDUkQknILLydkuCF75vAsqzZ/pdo27Zt+v02VcLdh+uVVw69+ebHUA5AKnSAwfBLy1rSIj63jnlPgxKwglzJyM37ZUr9GPZDGbwc2TBV3886t24fmnozdINP4JkIou7ToAyc0A72wGng/69Jqg1Dd7hfCAFtl8vl9XrDr/Nn69atixYt8ng8+fn5Y8eOvfHGG4GZM2f26dMnNTXVsqySkpIhQ4bcfvvt0d5U0CZd31QLuyxs9bwgCIIgCEJzIMJdEARBEISWRinldDpHjx4d+FRtyOmpTz311NVXX61/9gl3K0C4a5YsWXL8+PGEhIS2bdsOHTp0+fLlhw4d0t0ITzzxRCPfwkVKnTWRcO24e8KUKHVeHQn+LdgD58ADsZAG+dATJoQThdcp9Tfj3HXRjS5qH+w/UTO0c78M/mjqZbwQZ2TuoYCV3eErKIbqAO3eFhJN1P0rU+8+DPLhODihK2RCEZyHzAgvEzjB7V9gUocX6muYacJKmTpcrdRuOAluSIA86A3X2L5V0AL4zPt/wHGogRAVG5GY93uV6qPUP8yQ2FfgJfNU2Kg79Q1NHQk5cAR+DK/V94q+iampcBO4YQikwiP+t22alv8t9TJauIctTmkBHA6HxxM4KzcilixZUlFRkZmZWVpaumDBgvz8/Pj4+JqamqNHjz755JO6rCbamwr6BkBJSUnoZTqYf/78+YbtXBAEQRAEoTGIcBcEQRAEoaXxer1OpzMzsx7jejt4bdNTcwJcs++oKv9KmUDhDqxfv37OnDk1NTVpaWldu3a9/PLLT548+cwzzzTJuzhgtKCuPm8Hl0V/kjrZ88vhKygBj1HebaAnfCvceSYq9Z9m+KrPuXeCIbDNZhhDO/dboDvsNcbcZc5zImDlcOPQy4xz/6vt2Qw4Be2Ml68EL3SFD0wEvmOQjv5gJIMFnoDKmjrUccrNIdyVUvolZijVU6lDUAmxkAVd4RvwQovL3IlKdVXqCzgH5cG/CqAJq92vUKq9UnuhFKxoou4+4V6nB6YrfArF8Epw7Q7sskXdO8IeeA5+GlnUvQFx+Avcuc+aNUtXyrR6I8pdd92lzXWDz7BixYoPPvhgyJAh6enpDoejtLT0kUce2b59O+B0Ohss3E+cCPyz5Ife9tmzDRjMLAiCIAiC0FhEuAuCIAiC0NJ4PB6n05mWllav/51lm56aFmBmU1P/uzwjwb9SJoagfPnll4WFhS6XKz8/f+DAgatWrRo3blzj38U3lToNNeA0YrorLGqQyLNfh8tgL5y3xczbQm/4Ybgz36LUH6AIqsAByZANHaE/XA9zIq6XGQofwUmoMPUy6VAMewNWdoW9ZmrrcPgF7IdSANpBEnSDTEgAnTK9CNrUF5mPhGRwgwfCyjntlPV71D0nTUidSzdEqc/955cOhdctK/S02+ZguFJ/gONQDZWm8SYYYQPvA5T6MxRCNbwCO8zj9cbDT40efWr0aHvCfZJ//foIE3WvhNcgsEyq3qh7sqnLfy3cMNWGVb1fyM49IyNDC/dWD2jrnbjd7oYdfsMNN9x9993t27dPSkoCCgsL7f8ktROP9qaC0+n0eDzvvPNOJMvq7S4TBEEQBEFobkS4C4IgCILQ0mjhnpycHGzBjODTUxMTE/UPus8EsMARXLgvWbIkKSmpuLj49ddfr6ys1K3ul19++dy5cxv/RvZAGSjTut4GhjT0VHW6OPbDeVCmI74d9IVnwinCWUq9A0VQDRYkQhZ0gD5wFdwTcb3MlfAmHIFSW6d8LhyF38MR28qhkGei7hOgE+yHU0aLZ0IslMOXcNwc0juay2LHMoH6SNc3T8K9ziNjlPqLmTiaBG2gL0yEjS3uc29WqptSupUIqAwYWhtICPN+jVIFJjgPvAI/Nk/Vq6r1TQ7l3+1upwt8BmdAhWuYiYMp4IT28JX5EO6yefamGqZ6wdbL6L9yXq/3rbfeat2dJCUlNbhSZt68eb169fIF27/3ve/179+/Q4cO99xzj17gcDgaULMe4X4a04QjCIIgCILQSES4C4IgCILQ0rjdbofDoTOPIcyvb3pqts3xffDBB/qHKvCCCi7cr7jiiiVLlrhcroqKii1btvz6179euHDh4cOHHQ7Hu+++O3DgwPXr10+ZMqUxb+Q6pU6YFpdEyIROcH9DFZ7dVw6HQ1AG2Jx7P/h+uJMvUKqrUsdMxlkf2xZ6wmh4wN+5h7j4C6E3fAlnbDU1mTAAfgdfGg+r6QL7TNR9AHwMRWbzmKh7Nnzu/xLRjoNMglSI8OLq7heHw9G0RlWfdsyYMfYHpyjVXamjUAVxkA3dYAw81xoy9xKl3gW9GX2341T4g4Ka96FKvWfOFucfdQ88AwH/nOtE3S+GbDgaPOqOrWHmJqiB/vBn870Nb/MMU70AnXt8fLxOuLf2RkhISGhAwn3atGnLly/Py8uLi4urrq4+fPjw448/DixZsgRo27btvffeCzgcjgak+CM06Y0J5guCIAiCIDQSV2tvQBAEQRCE/3PU1tZalhUfH6//09eLbWcmvGimp6ZDTIA3LLeFnZ0B/5/muuuu69+/v9PpLC0tfe6553yPb9iwAaipqUlKSkpISMjIyFi5cuXf//733bt3N+y9vA9ZEAsxkAK50BcmW9bOkBHyEPiuhg7Ln4MkSIBM8IIXNlvW0nAn76HUp5bVHlLM/FV9ieJgi2UtsR2ulPqzZV0a5Dwj4BcwAHIgAeLBCTfAOdgLJyEV9G9xMAAHIQtGgwM+g1OQA5j5qDqf7sucx0V/cTyQGNlKPVz3fRhtwtfRv1o9hDjPQKX+07I6QTJkQCwkwE7L+gW80kSvHiHTlQL+bFldIBVS4SzoL3SEFdaB3nyKUsAH5myvQAXMMZ46sMN9p1J1FLbPoWs6w9+hC6TBa1AN0/334Fu/CybBqwB8Ae3N56epEu4+6ryXVic2Nha4EIR7XFxcVOZ6/PjxvXr16tSpU0xMjNvtLikp+f73v29fsHTp0sceeywvL2/t2rWjRo2qqakpLi6OaksOhyPsfpYtW3bllVeKcBcEQRAEobWQhLsgCIIgCC1NTU2NXbgTxGPONNNTCyAXur//vv1ZPVnUl3B32ZKqEydO7Nq1a6Bt97FgwYKPP/7Y7Xanp6d369btqquuWrBgQcPey0KldGJX151nQAcY3rBzGd54441f/epX+ud0M5o1AbrCGFhm5GZo+iu1F86BG2IgFfKgCwwNSF6PUupXcDjIea6HLnAASqDW3FfIgbam6r3MtrgTHIBzUAv94B+w3/ZsMpyzBdt9RRJVYd8MALUR23Yfo80PYYeFRoj+oMbE1N9gdKlSH0AxeCEZ2kJ/uLURX3poDKOUehtOQq2x7cAkWB/BsYGB94uU+gsUmeac7fAEYPtHZzf1O5UKlNf2tPtwE3XXwflX4PmAPdij7jdBb/iHGQv8Gjwa0TWIjgsn6n7hCPfY2FjLsmprayNZfOeddw4bNiw7Ozs+Pr68vPyTTz6pY9s1y5cvr6mpOX78uE7xv/3225HvZ9q0aZHcAEhLS5OEuyAIgiAIrYgId0EQBEEQWprq6mrLsuLiwkecZ0EWJEI6tIF2Nue+QCl7h7vL2NgpU6YUFBQ4nc5z587Va9s1W7ZsmTt37rFjx5xOZ05OTr9+/b73ve/ddtttDXg7w5U6A25wQTLkQA+Y3gh55/V6Lct68MEH9X+mQQzEQo1tTSQGeZhSn0Gxmeyqx6h2goHwE8uaajv8KqV+D1+bkaeBDIDP4DRUmVsLmTAE3oGjcNZ/ZTYUQQVcCZ3gH7ZnsyAOysBts+fxUAp2pedT8OdBO7NKcBi5H3oiaAgar9319w+CCXfgeqV+aoaXxkMu9IQr4KnWkLm3K9VZKfuU2q3wLXg6gtm5Grt5n6BUO6UOQiXEQg78AO63rcT/zlm9gXG7du8MiebDkwrbgyzWUfcp8BzkwAEohw6wGn4Y/hpExwXi3GNiYizLuhAqyPVHvaamJvSyOXPm3Hvvvfn5+fHx8W63+8SJE4888sibb74ZbP2KFStycnL0exw/fnzk+2nXrp1lWWH3o/vKIrxPIAiCIAiC0OSIcBcEQRAEoaWpqKiwLEunOH0E039TIBaSIAPaQ47NuddJuCfDmDFj2rdv73A4zp49+/zzganZuqxevXrWrFklJSXx8fHt2rW7+OKL161bN3ny5Gjf0T5bZ3o6tIOR0Z7ChhbuLperjhWNDVgZVh+PVkrngqtMD7seo9oProfFtsNnKtVNqUNwJsipvgm74SiUgddMUr0ZEuHfcNS2chJ0hIMmFD80YNKpL+ruS/CmQgxUmpXx5tgUOGNy0KWmqT9CJxrMVlqWNa+hXlWHjkMId2CtUv2U0h8JJ2RAJxgBL7fSiM4+Si03P2dAV7gUXjF+PCrzDvRU6jPT4J8OBfDC++/ffvvt9Xa41xt1x1+7Z8Exc3/iZXimvsWYRpqboQf8C05DX0iDrbZm+SbhQnDuLpeLCyPhfuTIEUIK92nTpt1zzz0dOnRITk5WSp05c2bDhg1PPfVU2DOnpKToEPqwYcOuvPLKCPeTmppKBCY9ISEh9LYFQRAEQRCaFRHugiAIgiC0NKWlpdRnLYOJv5sgDlIgC9rZjJgb9AGWSbgPGjTI6/WeOXPmRz/6UeT7Wbx48YwZM6qrq1NTU7t06XLZZZetXbv22muvjfwMv1iw4BTU2KR2F1jaUHOnk61aumEuy74gi8Omtq9V6l0otFXTZEI76AWXB7Sd9FPqayPoA5kGPWAvnIUacJk32w1+A3uMrNdutB9kwUmoBMAL/2E7VTbEQQW4bdo9Ac5DLXhNrr8CskwEPhHioCTiYpmy4GU1z4FlWbOi/wXp34XvVxOCS5T6CM6CglRoD4NgOqxoDZ873PzL0pvpCBfB27YrEKF51x+2S+CPUGRKftrAmKlT6xXummDd6JPM+k7mV++ETNgGmwJWTjKfqynwJGTAYaiEfDgAL8BrEV+NsEyO8tZInSG6jUd/wC6EhHtCQoJSqrq6ngnH119//dKlS7t27Zqenm5ZVklJybp16zZv3hz5mQG3252RkTF8+PArrrgikqN0dL3e/djRX58Ku0wQBEEQBKGZEOEuCIIgCEJLc/jwYYLEhIMpv1sgHlIhx0zgxCbcHeCEBADOnDmzbdu2Buxq3rx5X3/9tcfj0cXu48aNW7Vq1bhx4yI59sknn/wEzoMy0e98GNSATQDg8Xh0wt33iFKqa8hDQjv3OUp1VeqwCafHmYqeHnApPOJ/7HClPoViW8d6HYbCv0xpjK+5/kaIg0/hiP/iDnAISsANl4IHPrE9m2wK333OPd0U12jXmAilUA0pJuQeeY17GlTbKuMDeREsy5oWjVrVlTJOpzP8UrhKqV/DCaiBBMiDXvBt2Nwazl1b7xM2S6775Tf4bybCwPt3oAMcgAqIgWxbpUy9qjpY1H2yZfmi7mlwGjyQDO3gCbjbf7F9VupU6AafQwl0g4+gGF4Ju+9oaMWou9PpVEpdCMJdm+uqKr9bV9dee+2SJUsGDRqUm5sbExNTXl7+9ddfP/LII1GdWc/wcLvdVVVVGRkZF198cSTOXR9VZz+BxMbGKqXCLhMEQRAEQWgmRLgLgiAIgtDSbNu2TSkVrJcjmO+bBomQBvnGhWlRaxnhHg8lJSXbtwd2QUfKhg0bZs2adfjwYaVUZmZmz549J0yYsHz58kgSrKm/+U2haW5JhEwogO82yNm53e5Aq6uU2gGHgh0TQdS9j1L7zLBZ+xjV4fC0/4FjzYTMMv9iFp/xHA8/h8NQaoaypkAudIU3QRfH/8/rQiacMlH3fv4SPBtOQLkt6t7GePYa8EKGqX2vMc0zkeOC2uB3DjQvgxVxoll/OCMU7sCdSvVR6qAR05nQFf7a0A9GI9lpKt0rIQ5yoKeudA/YTISB9z7wia2DSB8yD9YFeXdho+55EGsahHKhlylwD3bURZABJ2E4ZMHRgPXBjo2Q1nLu+gN2Icz8jIuLU0pVVup/u1x99dV33333kCFDcnNz4+Pjq6urjx49+uCDD7700kvRnllXirnd7jVr1uhvFw0dOjTsX1q9n7AmPSYmxr5tQRAEQRCEFkaEuyAIgiAIrYBSKoS1DGb6ppsyd2CyZdXaKmWcEAcvvPBC4/e2evXqmTNnFhYWOhyO7OzsPn36XHvttcuWLQstg5RS/9y2rcQmoPOgd4OcXZ1KGR9TlfpHQIS8DqGd+xClvoAzUAsuY8k7wWB40V86T1Sqk1IHocQ2rNWuL5dCH/gCiqHa3GbIgsnghI/hsP9Lt4MjNkHvtg1TLYAUU1PjNdpdi9RyW8OMrrCPagxikrkfU+U/cjaQXZFp92iFu2aY6T23IBUehUtbqVsG6KPU7bb+li7wDVPpHkhY834pvAeFtoR7X7imPomvCebcJ1uW74USYQo4IN08G8K5A23hIFRAAXwIZ2EXPG5b0BiirZdpEvQH7EJIuGtzXV5ePn78+MWLFw8bNiwvLy8+Pr62trawsHDdunXPPvtsg8+MaWNfvXp1dXV1RkbGRRddFPYor9dbXh5mcLLL5fJ6vRUVoe+1CYIgCIIgNBci3AVBEARBaAW8Xq/L5QqhsIM5vpmQbH6uMXJWJ9wDZ4o2hnvuuee22247deqUy+XKz8/v37//9ddfv2LFimB7Vkq5XK7DJsd9O2RAAXwz+pfWEqpeq/sdpT6GYyEPDx11H6XUv+CUseRJkA0doT/cCHWmifZV6t9wGiqCzCC9BP4KhVAOylZW0xl+Ap/CadviXpBhGmMsGArV8KV5NsdE3T3gBTe0hxQzTNWX9Y0q4Q4kmUR/JPIyrHbXcyyjFe7AFUq9DyXggDToBJfDHa3k3HcqNR/O+Fe6v2VZM4PvJ4R2vxkKbMJdp/gvg+3BnXuwehn7C90EN9me3QUD6zubVuo9YSachQGQBoXQEdbBNtvhdX6IihZ27rpS5kJIuLtcrkcffTQmJmbEiBH5+flatRcVFd1///1bt25tzJm1yvfNNb3vvvs8Hk9WVtaSJUvCHnX+/Pmw2/Z6vXpYiCAIgiAIQssjwl0QBEEQhFbA6/U6nc6cnJwQa4IJvjmgi9Vr/BPuTSvcNUuWLJk+fXpxcXFMTExubm7fvn1vuOGGVatWBdYN68z+JUqdATe8CsmQCz2izzKHEO7A1Ur9GwqDTwTVhHDu31LqT3DC3BvQY1TbQ2/4Ftzrf+ClSr0Px6DMZr3t3ABd4IBpY3dBMuTALFDwr4AanLZwFM4bD94V/mSe6gQpcMYYeV+xexK4oDIyaR6Iw3ZvJhJ2Bb96UXW41+E2pf5pnHsGdIEJrVdaslOpxXAbuG2V7tNhccj9hAi824empkIBXAy7gp8tmHPXF8T3rD2ivjaILveNVM2Cm6EG8mAvdIZUeBpesc1cbXDmvSV/Uw6H40IQ7tdcc80HH3wwevTo9u3bJyYmut3ukydP3n///Vu2bGn8yfU3eHzCHVi9ejWQm5u7YMGCEEd5vd7i4uJgCzQOhyOSZYIgCIIgCM2ECHdBEARBEFoBj8fjdDrT0tJCLwvm3O8AoMpY1OYT7poFCxZMnTr11KlTTqczNze3T58+11133Zo1ayZMmOBbo28hAF/CeTObNA3awpAobZ2WUA5H0P+fdoVSX0BJyImghIy636xUZ6WOgq5miId0aAs94DJ40P+om5XqptReOBP8FQfCZ3DKuHIt8dtCARyEj+GUbXEPSDddNBaMghr41DybB4lwDmpM2l2TAA3x3JAACdH/v17LsjYGXD2dcA/xqwnNd5T6N5SBCzKhO0xp2ImaAp00n2kq3XOhG1wLd0bwWQ2m3b1eb5EZfNoehsKvgn9jIES9DLYgfB1Fvgtm1nfUJPPsrTAFusCXcA5y4Shsb6J6mUafIyJaXbhPnjz5nnvuufjii9u2bZuYmOjxeE6ePHnfffdt3ry5qV7C6XR6vd7qar+/KKtWrXI4HG3atLnjjjuCHeXxeHbtCvNFBb3s5z//eVPtVhAEQRAEISpEuAuCIAiC0Ap4PB6Hw5GcnBx2ZTDnvguSbMLdEX3ZSLQsWrRo2rRpJ06c0N3uvXr1+va3v71+/fopU6ZgE+7fUuq4//TUTjAymhfSIwFDx6hHK/U1lEJ1kOC5jxBR955KHYRS8ECsGUjbDUbA1oCjTv761x/CiYBJqv+zJXjPpNe95oR50Blq4QM4APaKh3xbcN4FfaASDphnsyDePBsinO7bSVid2gB5uRYsy7IPOG1Yh7udbyn1FVRALGRDz+D96S3DTqVuh2nggizoDjfC3IhHyCql3nnnHcAyJewd4CjU2ILzdwT/EIaul8FI+Un+v9+r4CLYFHCUz7nvgimwCf4OJ6AdJMKPYLVZ0GAmhxtN3CToOzr6my4tzK233rpq1aqBAwf6utqLioruvffexx9/vGlfSNfmBM413bNnj2VZ+fn506ZNq/cofdMrNA6H40JowBcEQRAE4f8sItwFQRAEQWgFamtrHQ5HQkJCJIuDOfdq8IIyHe7NLdw1d99997Rp044fPw7k5ub27Nlz3LhxmzZteuutt3wedoBSZ23TU3OhF9wdsafTEsrhcIQe0zpKqX3Gboc2cyGi7gOU+grOGeutd9sZhsLzAdnkI88//zIc8p+kauc26AF7zQRUJyRDNnSAjrAP9sFJ2/pukAanoMJUwHeAD2wL9KxUR3Dt7jPfISzqmQhuS4RgHViWdb9l0eiEu2a0UvuhyuTK+8CLre3cMc49G3rARJgRzZaef/55e6VMV0gwwfk86AOYD2G9n8M6zv15wN+5B0bdV0I3WBVwqkk27a5PpRPuFZAG7eEVONG4SvdJzR911wn3Fhbus2fPXr16dZ8+fbKzs+Pi4qqqqo4dO9avX78RI0Y0x8tpdR4o3Ldv337y5Mn4+PiCggL7V4g0DocjbPB/0qRJlmW1eiGPIAiCIAj/lxHhLgiCIAhCK1BbW2tZVoTCnSDOvcoWcG6BhLudpUuX3nrrrYcPH/Z4POnp6Z07dx45cuSBAwd8E/++hjJQpq2lHVwU8clLSkqUUg6HIy4uLvTKi5U6aF4orF4K5twvVkpPN9WKXI9RLYCBcC34Bmnqkvp7leqj1OdQDJVBJPhF8E8oggrA1lfTHTzwd9jvH3VvB8nG0VswBGrgK/9zusARZYd7sam5jwF9HUO33ofmAbAs68TixY888kgjhTtwiVKHoQYSIB/6ww8uDOc+A7KgJ9wMt0S2JZ1t9wl33z/VZFOe0zZgfeBH0e7cbwfgIVulO0Gi7kNhFnw/YEt25z4FVsJXUAI5UAjpsB+221Y2gGZ17pZleb3eFhPuCxYsWL9+fa9evbKyslwuV2Vl5cGDB9euXetwOJovKq5r1svKygKfeuKJJ8rKypKTk3v37h14VFiT3rlzZxHugiAIgiC0LiLcBUEQBEFoBWpqaizLCiuU7QQ69wpjYHWHu6vpthchy5YtmzZt2p49e6qqqpKSkjp06DB48OAnn3xy9erVj1911QlbsUwWdIbHIpN0W7duBSKs3Bmq1CGYCoDHdLITxCQGixiPVepvUOTfhNMe+sIEWGZcqk80j1TqTyEnqX4bCkwW3pf0z4GO0B2OwFdQ5H9IDsTDeZO17wr/CUf91zihGjxwJOAV7WfTG9OlNCUQD8fBCQ44W99uI2cTvP/++4lPP9240wAMVeo41EIitIXBsPkCcO7ATNN1c2vEWtn3b1N/A8Cn3dPMByCQwI9inZy7Tq/fBff7O3f8P9vfhjbwEPzE//y+Sapau2+EOVAEHSEecuFr+FEk7y04dS7O7t27G3e+/0Hfw6jTb97k6KL2jRs3du7cOSMjw+l0lpWVff311/fdd99TTz0FpKamRiK4G4YW7mfP1v8vcuPGjTU1Nenp6QsXLrQ/HolJT01NtSyrVQp5BEEQBEEQNCLcBUEQBEFoBaqqqqIV7sCmTX69zefAA8p0uLtacKqhnXXr1s2YMeM3v/lNSUlJbGxsfn5+3759r7vuundMVUsspEAe9Ib5ERtMh8ORmJgYyeJBSt1nC9TrXHmIrox6tfsNSr0Nx42yT4AMaAc9YQxssCydcPetn6RUV6X2wVnT7RNIX/gCYs0kVR11z4cu4IL/gr1Q4jshAOlw0jTMjIR8+AxO284ZB07Ig4/922ny4CvTHqMj86egEpIhBpIgDmIhI4LrqSkLnoh/FCzLWtroD1t/pXwjRtvBcPjeBePcV0AvmBHZvymdcK8zSVX/5z+gOEgBEQE9M4GV7k/DNQGV7gRE3bvCdHgBXvM/vz3qqQDdGAAAIABJREFUDiyASeZT0QGS4AdB6mUirJpppj84ulKm+YT7nDlz1q5dO3To0LZt2yYlJSmlzpw58+GHH65bt+6HP/yhb1liYmLzRcUtywo913TdunVAVlbW7Nmz9SMLFy6MxKQnJSXRSg34giAIgiAIGhHugiAIgiC0AuXl5ZZlxcbGRnXU559/bg88LgwQ7hH56ebhm9/8Zrt27f74xz8WFRVZlpWdnV2wc+d+KDcePAPaQ4R1yFq4x8fHR/jq/ZXSI0m9EAcVcCLcIYHO/S6luil12PTCx0EatIHuMBK+mDAhsEplkFIfQRFUBul7GQmvwhEoNdF13ereHvrBSfgSTkClTXG2h2Sjzi3oAx8GDFyNhYGQCXvhnHmwB2RCkYnJZ8FxOAeVkAan/c8QliqohboN0za2gGVZixqnXHsrVQxeSIUOMApWXRjOHVgJvWB6BEf55lgGfg1lvFJ/gJMQWh7X0e72px4F4Ln6pLzdue+CWTAFXoVXbY/Xce7AdCiDTDgFqXAMdsAz/meLvGqmOZy7rpTRw5ObkLFjxy5evHjDhg29evXSRe01NTUnTpxYvnz5hg0bduzYUWd9fHx8Mwn3xYsX64R76GVr1qxxOp15eXk33HADkJmZGYlw1382a2qC3eURBEEQBEFodkS4C4IgCILQCpw7dw6IiYmudz01NdXj8dx4442+R7RwBxxwpellbhV0SU5iYuKCBQtuueWW/fv3V1dXn/zZz7Rq9HWjd4FNkUWGI+lwtzNIqf02554W0NkSSL1R975K7TXfHoiBVMiDLjAMSqdODTzJOKV+AYehFGrri7rfBD3hM1t0XW8vDzpBoqmOOec/+jUXEoymHwcd4Wuj5n24oBvs8S+36QgpUAwO6AhZUAhnIBNSw1/F/yEb3KalJ4QsfhIsy4rwiwv18gdTdJMGBTAW7rxgnPsq+An8Mtx+fB3u9SrUm5R6BY4Fvyvjw/eB3Bkg7t/zV9v1Rt11gcxNcBO8Bj82j9eplwFmwiTIMV96OAKJsAteCv0+W4Sbb75Zf12goqKiqc45e/bsNWvWjB8/vkuXLunp6Q6Ho6ysbN++fStXrnzooYeCHRUXF9dMwj0tLQ2I5MylpaUJCQmdO3cGdMVW2OB/XFxcCxTyCIIgCIIghECEuyAIgiAIrcDGjRuVUlEJ9zvvvNPj8ZSWll5zzTW+IK0bFCRDe7Ms2GjQ5qa6utqyLF8mffny5dOmTfvd7373Zygx8joF8uHsPfeMGTMm9Nm8Xm8DvgEwVKm95uViIQ1Owqfhjgq8YhcptQeKoRackAw5UACDYLtlzQhYv1CpXkp9AcWmXibQq34D2sNBOGebzpoJbWEonIUv4LTpw/GRAbHmWwKDIRuOmPGqPkZCOzgIZ6HKGP88+BzOQjl0gUxIiL7AXffPaO0e2t49C5ZlzW7QZ2+uUn+HEnBABnSGqxpwlialju/eAW8Gf2vaDuM/MbUO9yjVWalDpoL/fMhX19q93lKXep07AdodmAIzYIdtpGpg1P1mmASJkGvajY7aNH3k5Lz/Pk0Xdc/LywO8Xu/586GvU3huuOGGZcuWbdy4sV+/fm3atElKSvJ6vcXFxX/961/Xrl375JNPhj5c/31ujqh4UlKSrpQJu/LRRx91u91paWlz587VQ7bDmnT9Z7PJvx8gCIIgCIIQOSLcBUEQBEFoHZRSLlekg05nz57tdDorKyuPHj2qj9JqbwCkBSxuFedebyv9s88+O0upg8YjJ8AnP/vZ4MGDp06d+vDDD991113BzqYT7tEKd2C4Ul+afHospEI+/DvcUYFR98uU+iecgmpwmHj+ZhgI19vmWNoZodRfoNC0ydfbFtEPPoQTUAZes8NcKIA0eL8+nw6kgMs0zOhI+0ko95/G2Q9y4Dg4oArc0Bty4aitAj7yAncfyaB761U45w68EHwsbWimKPUpnAcnZEI3+GerhtwJcO4vhxTK+v4QQRLuPnoqdRRqIBFK4fNwe4jKuRPg3IFpsMh/waSA004yfT5JkAb7YBs8EW5vdWhC565ltNfr/dWvftXgk8yfP3/dunUjR44sKChIT093Op3l5eWHDx9esmTJd7/73Z07d0ZykpiYmGaaPqpvTEaYnd+wYYPD4cjNzdXR9bAmPSYmxuv1VlaGqIMSBEEQBEFoXkS4C4IgCILQOkQl3BMSEmpqaoqKigDfUUqpvwVZ3/LOvaysDBOurMMlSp00se6rJk6MjY3Nzs7u3r37qFGjnn322e9+97u33XZbnUO0wYy2ckczUikd7q41RlvHvd8Jd2Cdi3a1Un+AQtvdgp9Ae+gF34Sn6rvCNyjVWan9ph+m3qj7ldAJ9po4vGUGtLaBUVAOe+AUlAccmwBOqIVLoA0cgHMB81q7wH8ZHa/9eE/IBqA43NsPRjJ4wRnkFkK9NEC7X63Ul1ABsXA/lLTSBGA7gb0uwbbkq5QJlnD30d3m3NvBnnA1UJE49ytsT02yJdnrHDvRtqbOs5PgDjgNaZAJcRAPDzeooqrxvzXdnB6237xepk+ffu+9927atKlnz545OTkJCQlut/vUqVN//vOfV65c+cgjj0R1tmPHjjVTN4u+MRm5yj9z5kx8fLwW7mGbdlwul1JK/0EWBEEQBEFoFUS4C4IgCILQOni9XqfTOW7cuLAr58+fr5Q6f/78O++8s2zZMqfT6XsqhLBpWNa4wZw5c4Ygwh340LSrx8K4iRP37dtXWVkZHx+fn5/ft2/fcePGPfnkk2vWrLn++uv1+sYId+AypT6DM1BrqmxyoQv8JtyBdS7adKW6KHXUhNZ9Y1S7wkXwcpDu8oFKfQwnTd96veJwCOTBUTPg1AUpkA0dIAd+D4ehBGoCDo+DcvBCH/iXCdRjs/OXQEf4Ck75T0nNCvfeQ5AMtQG5+7BE+wkcq9Rp8MJzkAvfjPLlmoMInbu2w0qpSDRxN6WOg9s494vgxZB1NIHqXG/Dt5PbldqplL2JPDDqDvwMgE22BXVOuxCmQjYcgwRIgIPwgllWr/qvl0Y6dy2joxLuU6ZMWbFixaZNm4YOHdqxY8eMjAzLss6fP793796lS5euX7/+tddea8BOdA69ObpZ9N/JyIX7li1bKioqdHQ9rEl3Op1er7e0NKoZyYIgCIIgCE1JpLEyQRAEQRCEpkUL95ycnNDLZsyYkZKSUlFR8corrwAej8fpdI4ZM2b37t1ANZyGREgMcrivYLq5+f73v//b3/42mHCfotQ/LCsBkiEBbl2+/DD8EzxPP52ZmZmSkpKSkpKfn9+9e/fNmzcXFhaOGDGiMcIdGKvUby1rAGRCLKSABQ74HXwIK0MeWyet3EupyZb1A0gFFySDC+IgEdJgo2WtCbjCY5V63rIug3xIMlH3wDfTHf4LOkI6xEM8xEAcjINi+Dd0hgzwmM1rUgCogLFgwUdwHCrM3QXNMAA+hGOQag5pDME+YGGJMPqt+RpyIBHSoVtDX7Fp2alUWIMcemhqIF2UOmBZbSEJ2sEw2GZZs41zr/cuxS6bRvcx2bJ8twS6KPWAZXUE/W0Re869zlTVSbYFgSe/FXbBHugA1ZACZ2Fufa8egslBRr9Ggv4bEkm/+XXXXde1a9esrKxLLrkkNjbW4XB4vd6qqqqSkpL169c34KXrEGGFSwOIiYlRSkVVVvPggw+uX7++srLy4MGDoVc6nU6Px3PixIlGbVEQBEEQBKERiHAXBEEQBKF10Oo8NTU19LKkpKSqqqrTp0/bj/Jpel+jSHHwCHOLOXdsdTeBDFNqv2XFQqwZQ9oNdt91151KLV26tG/fvqmpqenp6RkZGR06dPB4PJZluVyucePG/f73v2/YZsYr9ZZlDYEsiINksIy5fhyWGkkaDPt126nUHyyrpyncSAQXxIK+hfCcZb0XoBdvVwr4u2UVQDrEggdqIMH/VS4BYA/kQTLEQBLEQjwkwztwqXnKC8o0qmMMeDUMgh0wCHKhHGJt2n2I+aEQ2jTsIhpqIOpCfRsRavcblPrSshIgEfLhMcta3lIf3cixa26Nz7NH/g+ts1IHLauNmXg8HP5uWcPN8FXq0+71Onc7PZX6xLJegCRww1T/JLtdu9c5zyT/NZOgD2Bm+WZEadt9BF6oSNC32ULcuhg7dmz//v2zsrJGjx4dFxfncDiUUjU1NaWlpQcOHHjhhRcatNl6iI2NVUqVl5c31Ql96L+T0Y5jLSsrS0pKKigoCL3M4XDU1ta+807YDi1BEARBEITmQoS7IAiCIAitg9vtjo+PT0pKCrFm7ty5LpervLz8zTff9B0VExOTlvbfo1KrjHC34DPoF+Q8LePclVKhM+mfQgpkmG6WtjDQ38pt3LixoKBA32OoqakpKCiYNm3ali1bjh8//tFHH/3ud7+LdkvXKPVzyxoOOUb0a+HugO9blorAuWME6PGXXjp4663fgDzjxNNMID0J0mGpZW0OuMjDlfqlZQ2AbEiAuCDmWvvNw5ABCRBrQvTXwBn4FLqapzw25w7oGbW14IQ3oDdkQ4V/IL0c9IesCPL8g/ARUgb6MlVEH3W3u/5ItPtByIR4SIeeUb5WMxEYcq+jkqOqlPHRSanDlpUPydAHPoS1lvU9c1rfVbJ/RANdeZ2dDFDqH5bVE1LgFTgLd9U3KDWYc6+Tf8+AU/ARbLQduA9WRfweG+DctYwOTLhPmDChe/fuWVlZ1157rS57AWpqasrKyo4dO/b0009H9SqRoHPo58+fb/Iz65r1aNvhL7vssg8++CAtLe2WW27RX3iqF4fDEcn3AwRBEARBEJoPEe6CIAiCILQObrfb4XAkJoYSmDExMdXV1YWFhb5Hamtrk5KSkpOT9X+mmeCz9sg7YFqQU0XV7NEwwo6BvU6pf1lWPCRBImRCgX9V95o1a/QPO3bsKC0tTUpKysrKyszMbN++fd++fbds2VJYWPjRRx+9++67ke/qO0q9bFmXQq6R4zrn7oSnzX2ISLT7j3/849y33lqxbdvaX/yio7HtvnqZBEiFRyxrRcAVvlYp4FPLagcp4AI3VBsJbqcjfAxtIBViIRFiTNT9dbgcNsBPwG3270MLdN088xvoBsWQaNL0vhfKA280I4z0vYFzEAMOKDHaPSoCk/X6ek4KUjkyXqnJlrUNkqAtfNey7r8AQu4himUeeughoHfv3kTZPA68AlMhDyzoAGPrM9R1PqKBrrzOP+1hSv2HZfU3E1Cfgf0wCFabt7AryHkmBVTQTIIc/2V7oCuUQFrEsfdonXsd4T5x4sROnTplZmZeccUV8fHxeoJFbW1taWlpUVHR5s2bIz9ztLhcLq/X6/t2UROia9ajLatxOBxFRUVt2rTJzc31tYrV4bbbbrv55pvdbncT7VQQBEEQBKEhyNBUQRAEQRBah5qaGsuyfFHNQObNm6fzlXaxUlNTY9f01baEuxNiYBKEqBJo1jGqSin7QNd6GayUnmWqy9BzoQesCNiV2+3Oyck5ceLE559/Xlpa6nK5sv4fe+cdJ2V19u/rTN8p21l26VVBxC7WRFdUbBAbaMSOYjdGiZBEQ4wmkViwKzH6JhqJgpq8iQVspBhTLLHEiigivSzby+zMnN8fxzPvsztlZ2aXrOZ3X3/kMzvznPOcefaZDV7nnu9dUTF69Oj99tvvjDPOuOuuu6699trTTjstx4XN1Po52Ajt4IIQVMIw2AMW5bwPcfbZZyulgsHg3lq/DptsT9QiKINBsBMcAA84ulk6maj1O7AZ2kFBEbTDtpTDdocqWA9NNvY9AgPgm+CFWbAOGiHm6JKaxA0uOArG2GD37SnHmH/7pi1/dariTtvhtglC4LV3lwvqe7xSubEUVIZrBcyCi6EMJvTR6XpPt60ss/La2trkM/lWuAPztP4j1IOCUhgFp2Y40tlVNW0bVWeL2q9r/YadtgxGwRFwoxXfaVuqGqanlMN3+3EX20C4boe1UTV/Q+Lx+Ny5c2+88cZDDjlk7NixVVVVwWAwHo/X19evXLnyoosumjt37g617cDPf/7zRCLx1FNP9fnMbrdba93W1pbXKJfLddhhh7W1tQWDwaFDh6Y9pqamRiklwl0QBEEQhP5FhLsgCIIgCP1DR0eHy+XKJNxPOeUUj8fT0dHx2GOPdRvl1PRtVp6aCncvLNF6O2SpAN9xzj2RSGSvcDe8D02gHcEye6UouVgsppRyu91XX3316aeffsIJJyTNe3l5+ciRI/fee++pU6cuWrToxz/+8YUXXtjjSc/XeglsgDZQEIQKGAq7wS+UmqGUU2hm4rjjjjNJDkdp/Qh8Bo1WixdDFYyEPeAU+G66i3yI1s/D51am+6AYGuHzlCNHQQlstXbe5KtUwwRohndhIzRDNJ06d0EcamEEvAur0ylyNyQglm6gmdAL7RCDENSBC9rBA80FxdFkkX9Gu5/d9XIlC6LnwWN56todxzSt58EDjmecCyv4GyRnaP0etIAXKmE83J/5/XbT7qRY76R2n5zi3A+Hn6Vz7mm1u/N5p3NfC2FwQQK2wL1wf25vM8df4uzZs1etWgXE4/HRo0dXVlYGAoF4PF5XV/fhhx9efPHFc+bMWbBgQW7n7AMWLly4I6Y1/V3zTYd3uVyxWGzBggVut7u8vNy52ZOkuLhYKZVXO1ZBEARBEIQ+RyJlBEEQBEHoH0yegM+XvhVleXm5iU3o9nxbW5tTuLdC3BEpY/5lc5rWv1PqeTgiw6l3UKR7IpHoscIdOErrd5QKQNCK7xFwYNdjjDByznb11VebBzfeeOOgQYMikUhxcXFxcXFNTc3YsWMffPDBurq6DRs2vPHGG2mTFoC5WgMrlaqxcSsVNs/dY4Mvekx1p6ta/btSI21P1JDtpBqECNym1BUpF/lsrYFXlRoOJY5RqSnb2DCW7faYsG3TWg9rYTMMghLoBFe6hJkYHAhxeAM+hxJw9ud1QQwSdsPA4IaoozvrVgjBQIjCFgg7YmpypwM6IQqxzPnvv4Jf7fjIo96zl9afKvUrOCvDAflWuBsO1fptpcZAEVTDXnCdUvMzX4pkyMwN8DCkbtklb9EZSt0LZVAKI+EwuEmpJVq/4gioIedI92Rj1WLYDh2gIQb3QUUOCTOZsmWOP/74UaNGlZeXRyKRvffe2+v1rl+/PhaLme/3bNiw4fbbb+9p7q8YRp03NDTkPuSMM844/fTTzR/GaDSaKYvMPJ9vO1ZBEARBEIS+RYS7IAiCIAj9Q3NzMxmE+6mnnlpRUdHa2rp0aXcNaxR8clSDQ7i7HeL4Y5gA2Z07fe03E4mEy5XT1wcnav25Uj4bg14F4+AKpW6z60kV7knmzfuiZePcuXPHjh1bWloaDAbD4fCAAQNGjhy555573nPPPVu3bv3ss88eeOCB1OFjtf5AqcEOd6yssE46d3L4HoDZtNhf6/9VaneohCAErHM3wesPKfVHeDDlIu+r9dNK7Wo7qQbgEfgFNMGQlBOVwVoohQD4bWR8ELbB87A3VEEEYin/rjU/xmFf6IR3YT1EIJJyQBxitv+qD5rBb9PeV8FmiEIlqHTtXnukArZDM4Qd7Vszkem2LKD35g7iX/A1eBjq4bKuLxUQKZNkN60/VWowhGEIHJLDWzZXaZVS7emcO13v4Uetc0/AD5X6odYxpSYCeUa6L7WxM7PhHojCYFhn+/FugYuzvk3nm5o1a1Z1dXVpaekRRxzh9/vdbrdSKh6Pt7W1NTU1+f3+yy+/POtkO5a09eN9helrunHjxtyHDBo0CPuHccGCBddeey2QmuRu9mJFuAuCIAiC0L+IcBcEQRAEoX8wvfi83jQRHaWlpfF43Bj5bpgGqknhfonWHyqFo8Ld1D3O0frXSlXBc3Bk5jX0bal7PB7PpcLdsBJCUGLzUgbDvo5XOzo6yCDckziTJe6+++6KiopgMBgMBisqKoYOHTp+/Phf/vKX9fX1mzZtWrly5eOPP548eJzW7yk1BEJQZHuoGud+hlIPa01Kp8q0OO3wv60t9djOqEaLl1i/2W3ssXbUIAjbjQcfbIN6GN31YGPht9pjQo5mqlvgH7AzVEK7DVt3YorWvbA7ROFj2AgRh/hOHhCHTjvtJojYyHsNn0IZDMxyLbJSBs3QCgFoBTKXuhuSXVW/hJyo9UqlQhCA78FvJk365z//iV1zstVnAbwIU6HChrn/KLdRo7VerVSH3S9JxSjyUx3O/QiYo9TNWr+k1H3wqL1n0jp3Mjh34GK4E1ZDO7hhPbjgDsiiyfXJJ8+ZM6esrCwUCk2aNMnr9bpcLq11Z2dnS0tLXV3dddddt3Tp0tGjR7/zzju5XYCvHuecc84pp5wSj8czfRcnLSUlJUqppEl/+eWX0x7m9/u11ubvpyAIgiAIQn8hwl0QBEEQhP7hlltuWb58eVrh7na729rannjiidSX7rvvvm6jukXKhO3zp2v9W6UisAwaYUaGZfRhqXssFvN6vUcfffSzzz7b48GHaf2eUgEIQMgGy9ys1BytsXk7OdbLA5dccol5cNNNN1VXV0cikVAoFIlEqqqqRo4cufvuu99///11dXXr169/++23V6xYsYvW7yg1DMIQgDKbLeOG85W6316NvBJm/qLUGCgDvyNepggicLdSl6S7wrtqPUOpW6GsawH7Bpsn46QSgEYoAp/D6UdgHayDkVAGHeDpqt190AJ+8MM46IA1sAVCVnwnq9p9EIM2WwW/AULgg1HQy/sjDE0QAx90QmtPzh1beT07XevX/mUjVIEXSmC3n/3ssGXLbrzxRnpX4Q6cp/ULSu0DEZgD82CeUjfm8MF8FM6CGOgMCftJ5w4shtEw1d7ny5Xa2/4N8ThCY5xMz+zcTY3/TyAGnRCDAJjU82/b41uPPXbMmDEVFRWRSKSoqMjn85lOD9FotKOjo6mpaePGjc72p0kF3/Ml+2pSVVVlavnzGmWyYpImfcWKFWlr8H0+XwHtWAVBEARBEPoWEe6CIAiCIPQbWuvULqOzZ892u91py9uTo5zCPWaFu0mVcXrMd2AfWxP9azg980r6pNQ9Fou5XK6ysrIcj38aTrPushgGwni4SKl7tW5ubtZau93u1MyE7HznO99JPr7nnnvKy8uDwWBJSUlpaemgQYPGjh273377LVq0qK6ubsNll517550jIAx+KHXUuV+i1N0O507OCTOPKrUvVEEQ/OC2peghWKzUX+HulIu8ROtblDoSqiFiI+C9UA8NMDzlRMWwCYqtzfdav78V3oYqGAKlKcHupp7dlMAHYRS0w1rYZqN1klXtQYhCO3Q6wmf6BDNbsy2oz5GfA/CdL1OqzD9grP1YDYIoHHTQQeal3gh34HCt31FqDPwaNsP+uY2ap/XvlToYSqEdNsKIlGOSivw0AG6DGfaSPqvUJChzpBJlipeha6R78sjvwY+scI9BEXzz0EN32WWXAQMGFBcXB4NBI9nNZ6Szs7OhoaGhoeH1119/8sknU9+OEe6xWJZWu19tIpFIAcI9EAhorc1OZJJ99tlnxowZS5YsST7j8XhEuAuCIAiC0O+IcBcEQRAEod9IJBKpwt3r9ba0tGzZsiXTqG6avtNWH5sKd2dPyx9o/ZBS1Tax5BdwXubF9N65x2IxpVQ4HO75UAC+o/VflApCsS0zH2Il44IFC5YvX+5yuYqK8m3S+X9cfPEXgdLXXnvtyJEjS0pKAoFAKBRKZs68t//+8ZkzR1p/XeJw7t9WaqHjamitr7jiiuzNG5Ol7m8qNRQi9rInS92L4SdKfS/lIl+lNfCMUuOgwgp3N/hgC9TD2K7Hm2iXegjaBBufQ5r/Fr4GNTbYXTm0e8CO8tpVtcIG2G6j5D+ETdABPvDbfqe5/jpzIwwZt5IycxMAP1LqB18C5z5H6w+UikAAKmC91olEwnx8eincgT/BQCiDYhjZU/fUJNO0/ptSEyEEA+ADeDnlw+7U6Fc4nj9a6+eU2sfu02yHqqzOvZt5N0f+ABqnTBk7dmxlZWUkEpkeCAQCgaRkj8Vizc3NTU1N69at23jnnWZCT4ZNFCPc/4tTyM3ftHx3FExWTDeT7vF4um1wejyeRCKRZb9WEARBEAThP4AId0EQBEEQ+o1EIuF2u50ZLLNmzfL7/W1tbVnKurtp+k4wks+Y4m7tE8/U+kmljNEugTvgPbgvw8y9jJeJRqNKKRN9kCNf0/pDpQK2TLsSRttgGa21y+XKXd9n4frrr08+vvnmmwcOHBgOh/1+f1FR0dZly+JHHTUaisFvnbuR1HOVWuC4FLfddtvRRx/91ltvzZ07N8u5zDV8AcZBuU19ccbL/FypFyDVMx6jNfAPpYZBCfhtC1Y/rIM6mNj1+FJYZ5upBhyl7sWwHlbCrjAAwl21eykAzTbBxgteaINGaICSwq9xHhT8G50P85UCToNH+tW8r4dqu0mz3hHd3psMd8OlWv9LKZN0NAD2yXngAVq/p9QoCEA17A5Xwc1dM5GWphSnG+V9pNYvKrUXlEBZ13apqYXtXZqpTp9+5dCh5eXl4XC4qKjI7/d7PB5jzDs6OlpbW5ubmzdt2nTZzTfPybDsVOf+Xx8pY/qa5ivcvV6v1tpp0lesWPHd7343FAodc8wxzzzzjHnS7XYnEont279sOUyCIAiCIPz/hQh3QRAEQRD6DSPcKyoqks/4/f5YLNbU1NTjqOSPyQp3I1VTeyeeqPXTShnzWw7DHR4tLQWXund0dCil8q1J/ysUQ6XVlzWwK8xRavIzz7hcrrz0fS7MmfN/6u9nP/tZdXV165NPxk48cScoAR8U2zr3T2+7bf78+WvXrn3ggQeSQ0xiQ48JM4fDz+EQqLYx6CXWiQehFK5S6pZ0F3k/rR9Sal8YaJuphqys/xS2wCTHwYMB2Nb1SNP1dDN8vnz5milTxkA5hMCYYHPfmG6rYSiCTjt/G6yFYigu7MrmQ2d3zr+2AAAgAElEQVQ+qTKpLIbFSl0Kd/aTdj9M6/X2MxU8+ujEnDn0OsM9yZ5ab1SqAophGNyo1Lzc3uYuWn+m1CCbdWMSvrtlIi1NiYVJbrP9Uak9oAQegdvhXYg4qtqTxxedeebcmprS0tJwOBwIBJxxMbFYrLW11XxBZ85PflIPYYhDG9wJCfhWumV3c+5mqv/itp+m5XW+OwperzeRSDQ2NjqfbG9v9/v9Awf+Xz9jt9sdj8fXrVvXJ0sVBEEQBEEoDBHugiAIgiD0G/F43O12RyL/l5WtlOro6EiWK2YZNWXKlOXLlwMdXSvcfemGbIEa8EIEBsDYntqBFubc29vblVJ+f6rzz8a5Wv9NKdP8MwDlMBQm2RXmO1teXH311V880vrPSo2DUodzHzduXCwW22OPPRYvXtzc3FxfX7958+ZVq1ZdeeWVuQS7zwbgVRhubXvY4dyL4SalvpPuIp+pNfCSUqOhPKVF6gewEQ51HF8Ba6As5ci3oW7x4hdOO20CDINSKHK0xxwAwFabqG7GRqEN1kNx5jr0rbZ9a8G0ArAdcg37z8BdcJdS2XePciffG367/SJCOcTjcXMz9L7C3bDGJgUNgD3zGfgXOBrKoBRGwZ1KXaY1XbV7tzp3g3npz7A7RKACdoa34e9wy/TpQ4YMKSsrM11P/X6/2+12u91KqUQiYTYIm5ubN2/e/OnPfpac/wK4FyphA/jspuCtoBz9VJM4nbuZ9r9YuJsOHPkKd5MVs2nTJueTCxcuvPrqq527ki6XKxqN5tX3QhAEQRAEoc8R4S4IgiAIQr8Ri8W8Xm8oZFpacv7553s8ntbW1h5H+Xy+ysovtGdSuKvMwv1srZ9QKpmaUgMXW6WeyRoXEC/T0tJSmCI/QOsPlTLa1wTLjIJNWrtcrh0q3J18XeuXlJoAZbaJ675HHfXKH/4QDAbD4fCAAQPi8XhnZ+d+++33q1/9qqmpqb6+/rLLLlu5cuWyZcuyTLsvPAMToMLmpLsddegPKvU8/CbdRf4LjIOPYZCNuylytGB9E/ZwHDwMgM02jN6ktE+aMqUBtsIa+Bsc5pgqbkvdk+q8pat2/xQ2Qdh2WzU02u8i4Oi2mi+N4AZzzzX3RUC8UcZXwLremfcev7VgSH4iGiAKflj77LNbFy82L/WVcJ+k9TqlquByuCqfhrGna/2GUqZnbxXs2XVs8iOf6UJ9HV6FHx577MiRIysqKiKRSCgUOtrv9/l8brfb5XIB8Xi8vb29ubm5sbFx3bp1d955Z7eYmmSw+0UwHWpgHcTsLReHWwC4quupk+s0wr1bd9D/Jkw4TL4h9aZ0/amnnur2fCKR8Pl8xx9//O9+9zvA5XL11U0oCIIgCIJQMCLcBUEQBEHoNzo7O0OhULI+0efztbW1NTQ0ZB919913X3XVVcXFXyR/tOUg3IGTtH5KqYAjWMYYrj4sda+rq8MGJuTLozALqqzsHggbEokdXeHejcO0Xq7UblAOPojAQVOnboVnbrutsrIyFAr5/f7S0tLS0lLA+Pevfe1r3/zmN88666ws0x4DwHtQY4vcix116KXwPaV+knKR52u9TqmfwqkwEQZACDwQtgkwq2AzHOAYUgVAgxXuESvfIzAQPoF3YS8bVtOtn2qI7jTCGtgCITA3qDNqxqQgpa1S75YF32Dz6M2cfnDDdvCDgm12qtxpTBd6c5t90FcF75lIflheARfEYMjRRwcvuIA+Fe7AViiF/4E1+SS5A3tpvVapaojAUDgp5QDziZ5hq92B448/fujQoaaG/Z/B4Ik2KMYYdlPG3tra2traun379pUrV7Y//HBytuldY2qSzt15wGBYC512ryUOPrgZugW7m79IRrj3uO/41cXEUuVbwu92u9MWxbe1tQWDwZKSEuD8888/6aST8k2HFwRBEARB6HNEuAuCIAiC0G9Eo1GXy2V66CWfee6553oc6HK5knXx5Q7h7soajb0ZBttskwGwk32+R+dObqXut99++/Lly01gQr7M1/o5pQJQBn4oBdM0tbDZCmaK1k8ptSdUgB8ioGDqFVeshffhRRj/gx8MHTq0pKSkqKjI5/MVFRWVl5c///zzsVjs6KOPzjLzLvAKjLKpNSHr3E0n1duV+lbKFTY/PwqPwrdgOJTZZqdJX/8ubITJjlElsMGmnZhvDDRABMpgK7wDn8LOUJkS7N6NpNRembme3dj2etuLNbkArFv32x8bbHX/Zhhk69ybUnr89sh2KIZo5o0lY5C/DQvznDlfnB+Y5CZTMlumGwUENG2C4fYLDcPyHGvi1yNQDiPhTKUe6rqAs846a/icOaWlpQfZZqder9cY9kQiYXYO2tvbzf7funXrNt11F/BLx8bMBrjcPp6eLhreyXT4NtxinbsLjGy+FfxwiePISy+99LjjjtNa97jv+NXF7XYXINxdLldak3733XfPnTvX/N9BVVWVUuq/uN+sIAiCIAhfFUS4C4IgCILQb5guo6aIe/bs2W63O8cghZtuuunggw/+YpKuFe5Z/PS5Wj+uVIkjWOYSpe5OiXhOS+6l7gUr8iO1fkMpP4SgyPaG9Xq9uedp9AnHaf2EUpNggHXubkeWy4s/+tF1jsVcf/31NTU1xcXFRUVFy5Ytc7vdRxxxRKaZD4QnYQ8YAEEIgMcx80NK/QkecEzufM8HaX2HUrVQAxHwQtARTfM6rIVv2INrAFt+HgNtS92LoRy2wN9hKIy0ye/JYPe0jAXgE9huU3G6UQproMRuBhiMr0+WtHtsR9YKaLF5NUVda+FzoQw2QBTqwJ15eNK277iC9wOgHoCJ8G2PBzBdQ9MenOmTleUz9TrsBkVQZAP3c2eK1h8oFbAp8M0nnHDppZeaAvZQKBQIBA4//HCv15tMiUkkEvF4vKOjo729vaGhYfPmzTfddNN0WAwuqIOLAVgDbeAHF9TAJqiAbwJdnXsmTIbMjeABBT5oh064G4rhDADC4bCpcM+e1PSVxu12JxKJtra2vEZlEu5AIpHw+/1Tp0496KCDRLgLgiAIgvBlQIS7IAiCIAj9holNMOWxHo8nFou1tLTkODZZF99uhWmPFe7AyVr/QSlj8cocwTLm1d7Hy2ite1OTvpfWHys1BPxw9AknbIdKm5Tyn+QkrRcrdRBshn0gZJWxqUyfq9QCex2uvfZa58D58+cvWrToggsuyDTzifDII49MnDlzMETAY+25KVcvgeuUmp/8dXQde7nWwDKldraJ8CY3Jlkm/xdYbcUlUAaroRkC4HUUxRvtvhleggkwxLryOCQy3z+j4BUYbGvVPV3r4k0J9lpohAC47D+yi2E9RCDqeHIzVIAnXY5NLtTAFvBCLKW4PpVkwfutee7Z5BLpnjy1x+Mxx+eb5pF6luRH7Ltar1LKfB+iFC5S6t7c3sIpp5xSXV1dNn9+OBwuKioKBAIn+v0ej8fj8STPaFJiWlpa2trampqaNm3a9Pmtt6buTJwGwGL74zitP1FqiO0BMBC2wG8gATMdzr1bU9Zuj+fBT8Fjdwr90ATAw3AGFBUVmeXldPm+mhjhnm9mjlIq093V3t7u9XpLSkpMOpkId0EQBEEQ+h0R7oIgCIIg9BtNTU1Y4e5yuTo7O3NvFfjCCy98//vfB1ptMIhyOM0sbIShjmCZnbu+2stOqlpr4/UK5i8wBQaAD4qhGsbDD5X64X+wyB04TetfKHUYtNg0FbcjBOanSn033Xquu+46YPbs2WS+hjNnznzxxRe3T5481ubnBG34vvHm559//qpVq1566aW0b/gorZVS/4ChNjfG6G9TJl8Cy2ElXArACDuqwaHdk0dWwiZ4DQ6Gauvu4zZiO5UDAXgVamyui7urdh8CpBj2QQBshDA0gdsmwm/IEAGfCwNgK8ShyJaZZ9fuC2GhUsB0yPHbEj3uLb2q1M6goRQ8tsK9967Tedv8Ewba0P8j0x182GGHjRw5sry8PBKJhG04zNSpU031utvtTup103Kgra2tpaWlvr5+1apVv/zlL80kf1Rqb0f32qWOB8aVn+ZY2w9gNgyEGHhgANRBOQAf2MPSprrjMO/fhaXwKbhAgQfaQMNDcJvfr5SKx+P/4e+1ZGLFihV9Pqfpa2r++OfI5Zdffuyxx2a6u+688845c+YEAgG/319AWI0gCIIgCEKfI8JdEARBEIR+Y926dYDX6505c2ZpaWk0Gs3F7xxwwAF/+9vfkj82OCrcjRTO7qrO13qJUkb1FkMNXKbUnV2PL7jUXWvtdqeNBM+Vc7T+o1IBa5NLYTDsCbOUeuA/K+DO0xp4V6khtlVpqSME5m6lLsm6nixbF5MnTwYegf2gCoI2d8XMPG3atGg0unjx4rZf/OLglpampqaGhoZZs2atWbPmhRdeMDPsB7+GvaHKNmINOZR9KTwOoWefTcbKJ6NXTPp5N+2+FlbCBBhgZ4tDzJEP42RfAN6EgRCBTnB11e5Ow57U7tUArIaQDXAvrLw9SSU0QAuEoT2HUnfDUlBKFVDwnkry9/omPO52Y4V7j+lMuROFGLihE35+1FHPzp7tjIXx+/3nnntu0q3jqF6Px+PRaDQajba2tjY1NW3evPn8W28dl+EtH6r1h0qNhMWwCYAl9uPfrT4d+BHsDIdDJXTCFnjfHjAOVsFgOCOzc08yHa4G4KfgA23r3M3uo6lw/5I49z7H7K1u3bo19yFlZWVANBrNdIDW2ufzmXQyEe6CIAiCIPQ7ItwFQRAEQeg3Fi1atGzZMq/XW1xcnEgkmpubcxn1k5/8pLa2NvnjxVp/oJR2VLgHe5phhta/dwTLDEvntgrrpJpIJHpZ4Q4cqvXbSpn8liBUwHA4pJeTFsoErV9VaiSU2ASYpBn/lVLL4DeFaveZALwBQ6HY5sN4Yd9p09578UWnPI3H47FYrLOzc9asWSZou7W19ZPm5n81NBx7yy2jbRS7z+bemNyY1fD444+ffPLJzpOa0vUo+MELRRCGUtgGH8HnMBoqIAgeiEEsQ1/TPQD4t3X0Rrs7S+Or4V2ohDC0gALtkOwbc1bkWTC7CPXgh2g+E5qC9x/DmzkXvKeSbCqrIbnJlKxBzrQj1aOIP+KII4YMGVJaWhqJRF4OBl8vKjIi9XSfz8TCmLr15AcwGb/e1tbW2tra2Ni4fv36O++808y2XqkqaIR/w7jMJ30dBkAplMD3YJ7dUVNKpebMzITnYJLNJvrHb3/72gkn7APAaFgNv7Z2Prtzxx72U4hDAJpsB4hEIrEQPv0vde6mhP/pp5/OfUg4HCarSTd/eL1er9Y633R4QRAEQRCEPkeEuyAIgiAI/YnJYHG73dFoNPc8mblz5y5YsCD5o2mMmcxnCGcZaVkPw21ldGUGGVdAJ1XT6TTHd5GF3bT+VCkv+CAMVTAGblPqiv6wb/tq/aJS46Ec/BC2zt1sCXxbqYU5RNuT4UruBc/DOCiHgM2u2WPy5G3w6iOPmJAQj8fj8/lcLlc3zRqPx5sPOeS1zs5RJ500CIqtbTeh8J9qrZQ699xzJzz44FVdT5rU4jGHdi+DrfAmVMNQKLUx8TGIZtjF2RWAD6DCltjHIG5L4yfYwz63LV5b7TzVPV70nCmF7Y6Zc+f7ACilroRb8ryvZih1B7ihCTaBaT2aS1fh5DGnnHJKRUVFcXFxMmnd7/f7fD6v12v+IJiOpuYjZjC/9La2NvO3orm5ub6+/oYbbsh0CqDFZr9EsqbAn6b1+0qFIQBVcFbXqZRS3XrPHgmvwzgoAqVUAN6DkVAEI2AtzIAg3AUDc3PuwC2grXCPx+Mma+iy/oiT2qFcfvnlxxxzTDwez2uUibbPItxjsZgR7gWkwwuCIAiCIPQ5ItwFQRAEQehPTAaLqXnMkhiQOsr5Y8w22HQ5MrKzc6HWjzmCZaozF5PmVereV8IdeA2+DhXggxKogQnwXaV+2h/2bbLWjym1HwyAIpu6nox0v16pa3OTrWmv5BFwL9RCtdXWRuh/bebMTbAG/g3z4frrry8vL09GdRsz6/f7lVL1K1asrq3dFSohZLPaa485pgV2h1ceeugX0Wh7e/ull17a7dTJfwq32ziactgCf4MxYCS+H/zQCdEMOTBmt2YllFvdH4N2x8bPUAA+hTA05vYljLwog+22k0EB3Aq35l/wfjkAN0Dsqafcb74JaK2TkVCHH354TU1NaWlpOBwOBoNJn55U6ieffLJSKpm0bpQ9jt2UTktra2tzc3NdXd1Pf/rTXBbmvMdeg7i94GOzjvoHVEEZhOCzri9prWekOPe9YSUMg6nHH78dPoAiG1g0BDbBNHgOtkJlZufufGz2hI70eIB4PO6CUhgJtXCNUjf8Zz/1zq8Q9S2lpaXmr31eowKBQPbS9ZaWlpKSEo/Hk0gk8kqHFwRBEARB2BGIcBcEQRAEoT8xUQCrV68uLy/PvUGf1vr8889P/hizGe4mUqYot0lOscEyQRia1cflXuoej8eT6rCXbF+06OMLLjD7AQEogyGwD5yq1KP94dxP0frJJ5/c5aSTBkHI5st7bIX47Up9K+uqsmeJXATAP2E4lNjaeY8tqK+AB+Hv1157TcopTjvttIkTJ5aVlYUffvhffv/gGTOGQykEwG9nGDp0KKC1fuGFFxKJxJFHpmnAmcyNqXdo9xdgTxhoI+wDEIUOiKR7C2PhTzAMSqEMWqENEg5HP9I+2AgN4Ol1jLuTwpqvOsmx4L22traioqJ01qxQKBQMBn8TCPjfeccUIAMPPPCA1+t1uVznnXeeKVR3WZI5MICpWI/FYvF4vL29vbOz0xStm46myaL1GY57JjXaJRe22Sz+IhiY9ciztf5IKdM4tyLl2yRL0jn3sbARBkAxDIffwsm2oH4gbIMp8LJtjbsWvm2dO12j4Z3a3WzXxePxRiiGMhgFh8NcpRb8V9S5h0IhpVQsFstrlM/n01pnKV1/8MEHv/3tb7vd7kQisW3btl4vUxAEQRAEoVeIcBcEQRAEoT8xhrq8vDyZ/pwL3aLSO7tWuKcN3U5LBKohDlthcE8H51Lq/uijjwYCgcMOO+yll17KeRXp6ezsbFm+fP2UKV4I2uibkZDGFv+nSCQS7z3xROtJJw23qevF4AYf+OFBpZZ1LZHOt3PmJHgadoUKW0ffYZ17CVTBrUpd2VU7Ll68uMsUWt+r1Neg2ibCB+GA2to2WPHkk6a2+rnnnnO5XIcffnjaNSRj0J9++umyROKTRGL1N76xsw2NMRO2Qzs0w5CuY5M5+x9Bo02k6abdceTJbO8LUW5oBg80QlWhM7wBewFwK1QtWGCuVZJkxsuFF16YfOw06WbPaciQIUAikXCGwESjURPB39nZ2d7e3tbW1tzcvHXr1jvuuCPLemZ0vXm6faklx1trCmx2/E5Pd4xKDcBZB4MgAMUwOsOERo4ntftlADwG5XA5jIH9IQEuqIBGOAT+CY2OyPvkDNO7/q/B4/ForePxuMn9j1jnfmRu2U1ffgKBAJCvcDfh7D2WrrtcrlgstmTJksLXJwiCIAiC0BeIcBcEQRAEoT+Jx+NerzcSiaxfvz73Ud2SW6KQAECB2yZo58K9cI21qJUwS6kHCm0Bajj11FN///vfV1ZW5ryEjJiAnVd/+cvw2Wd7bU/RKhgLNyn1nf5Qb/F43OPx7KX1n5XaCcpsxLzHxqaH4BKl7unFKY4F4F2YAB02kd9n817K4FGl/gVZqn0v0hpYrtROtv2paaY65cQTW2A7bILVcMEFFwwaNGj+/PkZV3LssS+++KJSSq1YsQ7W1daOsN1ZvbZ2vg7qYVTK2J0AeA9KbchMW7ovXqTa9m1Q0cMVSsN228BAQx2U5z8D1rYb5s2bt2zZMnOfO+/2pEk3Mj2RSHR2dia72gKff/55R0dHa2trU1PThg0b7r///oLW0jO5+3cFTem+lKBS5Hut1huVCkDQNqR1YorczePpXduinmJ/PAZehV0gAS2wGoBJ8A60wJ/gGFgK2xxjuzl382ctFovNBeAe211gNBwDFyp131fcufv9fvIX7iYrJnvputba5XLlG1YjCIIgCIKwIxDhLgiCIAhCf9LZ2en3+4PBYF4KJhaLud3uqVOn/uEPfwA6ugp3X/bBDoxE+xH4oQTG5DYqe6n7tGnTcj5/NkwLWZfL9RYUWbtdCoNgV7hSqVv/4+otkUiYN/51rX+n1F5QCUVQZMN8THZHBVyfz7Sp13MC/Ak2QVnXcBhjQivhPqVeyho4PkXrp59+uuq444baHHYjygMQglKoWrToI5gOSzL/NidPnmwe3HrrrYF77vnE758wa9YQKIGA9fge2AwtjsSYJLsA8BaUQwiawd1T3lEBtn0b+MAFzWDCjAounN8ANfbxUUcdBTzyyCNGpifr01taWhoaGj6/9VZz2JZDDwWOO+64iRMnbtmy5bzzzivozGn4Pvw454Oz+HeVIQIo7fEf23L4YLqmDrNhfzgXcNw53TJh9oWPYRgEoRo+gVEwEVbCYfBnmAhlUA8/hTEpzt3lcpmwHTPbxXAvBKEcRsM34AylHv4qO3efzwfk9X0mwOPxxOPx7KXriURChLsgCIIgCF8SRLgLgiAIgtCfdHZ2KqWKioryEu6m1Lq8/Ita3vaukTK5C3fDD+CHEHZkffRI7qnuBdPa2mo6yk7V+p9KmWSVAJTDMNgvc5fXHUc8HldK1dbWrlix4nitf6bU8VADIQjYNqqmGv1mmJN5ntQrk+rcTTzLW1ADEfDZUvEAhKEUBsINSqWmujvZ8L//+/E3vrEnVEEYvDYWpsgWDtfAfPubyvLbvPLKK5OP74EDbWTNehhqV7UFWmF4ytjd7YPVEIamnPv65kIjeMEFTVAJdaCgvdDZSmBT16zzmTNndjvmKpgPCmY5nuyrvgVJ7lbqOHjAniXf+zx5gz2nVKYK97S0QsLui+yS8urhWq9V6jfwTQBmKKW1rq2t5Y9/dB62Ar4BlVAMv4ONUA1jYS0cAG/b9TTBahjRzbnbCvfkbKa9wUNQCQk4pT8++H2ICYfJvT+2we1292jSY7FYAenwgiAIgiAIO4I+/sexIAiCIAhCXkSjUZfLFQgE8hIlnZ2dLpcrEvlCo7UVWuGe5IdwO5TBnHxix7MrdWeXyAJoaGgAXC5XbW3tJK03QAe4bZj7KJhc8NSFYoR7MBg0b20u7AyfQAPEbaT7QBgNk2CRo/JXdyXt5Glf2h2qYD002VNEYAAMg13g6/ArpS7OcJHNbG/MmTNO67dhI7RAAkwf2ioYDrtCLTyo1HlKZVmbk4thD3gZzrZ57tpG65TDVliTYeAIqIRN0ASNkLH/Y850gA/qoR1CsN0+9hY021obzbQ562G3QAkUgwuWaD1r1iyscO/lDpOTgyAIGhbAN3oxzyBwQQdMhwtzWGEjxMEFAbjOfoSdn+ItEIVfw8/gqOSThx463XG3nw8roRW8MAPehQYAhkA97AFrodXeyetgKbyaocI9yZlwHlTCTlb3f0UxIfX5CncTzp79mIqKCqVUvrXzgiAIgiAIOwIR7oIgCIIg9Cft7e1KKb/fn5coMZo+GPyiUHgAmOpHBa48haOzVnRxZluaiR4tbcHO/Y477jCpxOFwGHgKtkGn9drVsDP8uBdCPy+Mdjz77LOnTZv2zDPPOF/aA96HOugEjw2aHwF7wDfg3Dw9bNrrORpKYSu0g4IAlEINjII94DhYmOE6KKWMCz5U62Fafwx10AEum9JTA6NhTzgeblEq0wJSORmWwl/hU9hmK6NNBX05bIO1GQaOgYGwHhqgHlqgLfer42CNPWk5+KHVOlzzVYMCGAIttri7BTb1dPxjoJR684wzrrjiCmUvXUFn7s4flRoIATgPGuHPhc6zSKmIFe6z4V6t6br3kzrkYEhAMCVdKmneP4MouCAE+6cMTzr3g+AciEMIJsPn9msHA8AN42EzdMAmGAyboATegu9b4Z7pj+FsGADjYcl/6oPf5xjhbvKycieXrJhwOCzCXRAEQRCELwki3AVBEARB6E9aW1uxwb6509HRYYJovvgREqBthXu+Fb4nw7WOH2fkL7N2UKm7Ee6hUAi4Suv3ocnWaJfAYNgdMtV39x7lIPuRB8FrsBnawQVBqIBhsCscB/MKup6pl3QQhKABYuCxlf5DYGfYHx5T6ntdT2RmcDbX3UPrv8NaW8jshTBUwlAYBwfAb5Sam492nwF7wovwCWyFFojbtZVCHayDD9MNHAc1UArboQ2ac9bujdAOHVAFHtgCLRCwCtgNDdCR21SpDIYqu3cSg03QYyPjW+D444/vwwr3JUqNgBDE4Dp4BRYVOu0oCICGNtiQ7oC08r0065wnQCvEQcFGAObNmzd16tTkvl2y1H0pnGbjO3eFbRCHKLwHwAioh2GwDgZCpW0MkF24AxfAD+Bx+PVX07m73e4ChHsuJt3sv+ZbOy8IgiAIgrAjEOEuCIIgCEJ/Ul9fT/7Cva2tTSkVCATMj+1dK9zz7VEzQ+s2+FGeo7qRS6l7vtrdCPfkvsIRWq+xUSRBG+Z+UIHr7WGdeS1Va32M1stgPbQAtn58MIyDQ2FBQXLwdZvF4aQCNkKrDXIpgYEwAibCZFik1DftuUwufLd48Wlaj9H6fdhsr6Spl6+GkbAbHAH3K3VpPtr9bNgH/gArYTM0Q8wGtZfaSJxMDLEV8a3QlEPOzOew3ZFjMxAS8G9ohA7QMCKfVgRpGW7DakLgyqCqu3HZZZdhL3gB+1VJblBqApQA0AAr4aJCbftipUaDD+LQnGHbw4n5Xb+b7pbrhhG6HiiCSy+9lHQtQKenjHoPWsBjJTswEJrhTdgK5VAOxbb3QzQaXWoHLk2ZyvD7grYG+x2Xy5VIJMw+a46ceeaZuYSz+/1+rXVHR8H7TYIgCIIgCH2GCHdBEARBEPqTG264AfB686tKb25uNkE05kdTc10cde8AACAASURBVKoLipQx1EMc5sNl+Y910qOfzVdkm4D75DN7ar0ZouCGMAyA0XBXX3i3wjy7U0mfp/VorVdDIySsDTftIveHe/JfZBngKBlOMhwiUGfDPczewyAYA/vAKfATx7nS9vM8QOunYTXUp0zyc9gbjoNFSl2Yj3a/FPaHUfABbIQm6LTZNSVQbwui0zIcKiACzT3Fu0+AGlgDddAOAfDAEBgOA7NG2eTFQHBDI4QcpdzZmTJlinmwFJRS38zfvM9QajIMAA+0wlqY1ouS+fG2Uep2+AhuyGGqe5UywfHrYHnmz7LZ2CiDA+Huu+8G5s2bp5Q6t+thZnjy1j0CNkIMAvAO1AOwBmrhY2iEYpM473IlI86/Dzenc/dOvnLO3e12JxKJ5ubm3IcMGjRIKdVj6boR7vnWzguCIAiCIOwIRLgLgiAIgtDPaK09nvyq0rds2YKjLr7RUeHuBk/+HupjK16L4BS4rBca69lnnzUaLhO5e21TMpzcVzC8DNshZo12DYyH+b1YcF6e/ZlnnpkzZ04WB72r1h9BnQ1+Me1JR8Je8JBSM3M+0R+UKoOw/TH1jAOhCNzpmql+DR5SKm2Fe5LZWk/Q+nXYAM12h6AYHoShsBPsA9PgXqVm5aPdgYNhDLwLG6DR3lcBKIaGnrLRq6AYGqEBWuB38G87TztEoR2aYSIMhhL4CJqhE7YDsBMMyWWJOWC2H9ohDDo353722WcnHz9qzfuM3My7OWYhXAqzYDO8XPDS4U9KVYIX2mEDTM/tF7crmK2tdtgCpGwpGXaGIsePRx31RfPUV+EuWOx4aUlX574TNIELjoJ10A67wVbYH9ZDG3wGSqlEItHe3r4B9oBWuA2uybrsr5ZzNxXu5otNOVJcXEwOWTFer1dr3dZWWE8EQRAEQRCEvkSEuyAIgiAI/UwBwv3222/HIdwv0tpUuGMjZYoyj03LxVqbLBRjsUfkOdzJggULjPrJflgumjuRSLhcrm55O2dpbTSrBj+UwhDYE87J07vlVdJutOP111+vlOrx6wiTtH4Tttj2pCZsfRhMhBPgqtzOOBqCkEi3jG5H+myb0GQ4jGmmao7MJNwNR2o9QuuPbEfWGPihGAbAUNgZ9oET4C6lzrTa/fe///3DDz/c4/prYSd4C9ZBvc1V90MEGmEzfJp5bLUtij8ERsLf4DOosznvPqiHbQDsBO/Delsx3ecMsL1YCy41X2rN+5WZf++pyvgGmFdoefsMpe6GEMRhO7yT26j7laoGL8ShBf6366tJ8343fAJpy7N/AB0Qh0X2LSc/XMlvaVTY//qaAA2QgH8BMA7q4J82Uqa9vb0GtsJ4aAcP/ChztgxfKeeulIrH40888UTuQ0w4e49ZMaYda0tLS6/WJwiCIAiC0BeIcBcEQRAEoZ9JJBL5CndAa+00vzEbKaPAY9Mk8mKLoxtnVe8c1uLFi8mtJjq77zY12qmC+xCt10Kro0PpCDg0t7Xl7tlTW0qa6tFc8n+O0PqPsMGmoxRBOQyB8TAZbujp7L9QqhI81lMv6XoZ015YD7jBDSGogMH26imlrunpdPto/Sc4y5pxBQEogSoYBuNgEkyHO7oGxOdS8H4kjIfX4XOoB5N24YMIVMAW+Czz2MFQBiGr3f8Kq2Eb+CBh9xiAI2B36+V3BFUQhppez7PQ3nvd2vym/aAt6YVtNw8uhItgTW4p8N9XaoIjgubDzAsYBgHohFXpXu0EDeUZzjK9az7SamiHqfAWAIPhcFvh3tLS8hZUwhswGorBA6uy9pnYEc59xYoVfTvhOeec43K54vF4XqMCgUAupesejyeRSDQ2NvZigYIgCIIgCH2DCHdBEARBEPqZRCLhdrtLS0vzGtWtLj7mqHA3/Srz5QSt2236RxnslP8MmdaZ/YAs+juRSGSqKJ+o9VaIggfCUAVjYWFm6VaAZ099qampiZwD90/TeqTWa6AJEuC3AThj4UC4I+tKdrdV1VmSntMu0m2/31Bpn3G5XIfB/UqdkfWMp2i9ROt/WjPeTbsPh3GwH5wKq6ZN+/0ZZ2RZQyrHwa5dC9VNgk0YymEr3Aj/gM9guy1jd1IBYTgURkIZvGJbs27petgBPa6jUBqz/iLy5V57N56t1G/6zranza45KrepjoKh4INO2ArLMh85FLyQgDa4Ce64445nnnkm+erolO/WLO362PnjftAAGna3nWnnzp5thHtDQ8PusAoC8AHEoNHuPy2F6zOs7ctf515VVWUq3PMaZcLZexTubrc7Ho+btDFBEARBEIT+RYS7IAiCIAj9TDweL0C4d6uL74SEbZpaQKSMwXT79EIYBhc0A3DVVVd1eybHUvdUGx6Px7NEuLxme70mw9wnwLyuk/SJZ09yxx13AHl9HWG81h9DPcTAC8UwEEbBPvA/mdO9a6z93JbbstO+dOKJJx577LHXXHPNZJgN0+HGnq7DVK3Ha/0arIMGR6x/CQyE4TAe9odvwi2Oxeeo3U+C3eFP8Clsg1Z7s4XgUhgDS+Aj2Gy1exSijgaqA6AYgjABhsK/YR180uNZ+441sL5PJ/wVnJaSlFKYbb9Dqe6futymmq3UcqWGQBFEYTO8Bb/IMHC5UqWgoBnWwxytTXjUOeeco7V+CNak25m4MeWZZJ17jf2mwqfQAiUlJUAikXjo+ef/CqOhzDYq2Nt+o+V9GJc1XubLTCQSAfIV7uYi99hn1bRjlQp3QRAEQRC+DIhwFwRBEAShn4nFYi6Xy7iY3EkV7kaSmb6p/kzDsrIGorZAvgLOK6hiNJFIXHjhhanPF5AwYyrcMwnuk7VeZQWfqcofCvvCDKVy9+w5LsxJvvk/e2v9Dmyz1zYMA2A47AYnwaUpi3xJqRJQ0ArrctOmubyFb8B3QSl1RU+X5Ritd9b6jRTtXmq1+y5wAJwKN+Wv3WfCXrAcPoYt0Axxe8tdBGPhCVgJW6AF4hCEbgaxBEKwP4yFavhrhhNNz/B8vtSD83ptKHSe1ZlfWppS/Z0Xv1HqUBgOP3c8mcttM1+pM2FnCEMC6uF9mJ1h4AylhkERJKAJVgJdc8NH2F2ilV0HJjK8O2fCzIFQD0VFRabCvQZ2gw+hBoY7WrlGwG13WZbCdekW2eO77pHa2treT5IW8wZjsVheo7xeby59Vl0uV74zC4IgCIIg7CBEuAuCIAiC0M8Y4W464+WOqYtPuqGobbBpImUCBa3kHK1NQbHJPxlT0CQmISfTq3mVumevcAcO1HoDtNvepCbMfUpu68ylpD0tBQTuH6r1K7AR2kBB0Ea67wJTYH5XS2hisuNQn3PHS0Mub2c63A4qc3F9kila76T1W7AeGqHTJuabvqwjYBc4EGZ0LZw3a3ipp6WeD5NgBHwEm6AZYuCGIrgAxsKTVrtvgE5oSJmhFEIQhN2hFZ5NOaBPiqAbwAPK7gr0xuaWZHXuhqW5NRNOYmJk9oYaKIJOuB5mOubJwi+UOhqGQRg0NMEqODXDAszdUgJAA3wCF2uNFe7bt29/QKlKcEMbfA8udNyN3f5za6njgXlsnPtgCAQCQCKRiMNm2Bk2wbvwCbwCe0KnzZZ5F94DBT9Md01yvHqZ2HfffVO/ptMnmDfY2dmZ16j77rsvkUh8/vnn2Q8rIKxGEARBEARhByHCXRAEQRCEfiYajS5btuz999/Pa5QR7uXlX3Qo7Oha4e4rdDHbIG5TZQYWNEM8Hne5sv0TK/eEGeOPsuh7YLzWW6HTtoodCDvBgp7OXoBnT5J9PZk4UevhWq+FZkjYkvxBsBN8DW61lvBxpcqtuNwEV+a/zuxvzak7c3G7h2s9Vuu3YT00QaetRi+DahgJE+BgWKLUjx1T1WqttX45B8V8IIyG92Cjnd9U058PO8FD8D5shIaUxPYk50AQDoZWR/5M78vbm6AF3HYzoMT+Z0MU1hU6YRi2w2r4tKeDk1rc6OO0xjxplq+BS+z3If4Kx+e2ngNgCIQgDtvgbTgu3QKcJ/JCO2yAafYAt9uttT74+edNz1UFbTAT7rU34R/AD6m12d22Q8zvy+fzmQr3dttJ1XyjYihUwvvggmpoAQV+GA/AdSnNVHvp3F999VWXy3Xuuef2ZpK0+Hw+rXW+wh1YuHBh9g6ul112mVKqgJkFQRAEQRB2BCLcBUEQBEHoZ1577TWPx5OvxjV18cnk9/auFe4FC/epWicbZpbDd/JXV0a49xjLkIv1jsViWSJlDEqpd6DB0Zh0EEyEK9KdrjeePTlPYcLdsJPWq6DB7mqUQDWMhklwv1IzlNoJQja14+NeLDLtO01b/pqLdj9M6zFa/9uhxZPavQZGwq7wdXhUqR85pjpI6+Fa/wPWpCtRd3IIjIV3YD00OFq2Xgl7QyW8Dp/BqnRjjbqNQBBi0AKtPZW3ZwrDboQW+2oEWiEOYfDA+9Bug/gL+++HYdAAbRAG4NMMb6cbS23OUo9bCINgT5iV83oGQBCiUA27wIk5DGmFtfB1xzNnnnnmtGnTDoUB4INW2ADH2zXPV6raNjudDjfbUXd0nTZZ6m6+yxKPxxvgRPgQgDB8BNUwHopgCHRACFzwLnjs370b4QHHnL107jfddNODDz7YmxnSYt7gjtDi5eXlBYTVCIIgCIIg7CBEuAuCIAiC0M8kEgmXy2XSBnKns7PT5XKFw0bfUWnFUy8r3IFG0OCDCAzNf7jZCSgrK8vl4OwG3PijTII7aYqPg9XQAkARlMNQ2B+m951nd9Ib4Q7sofV7sM1qaxPpPgL2gOPhTvBCFLbCGb1b9qOPPvrss12iVrKsOxftfojWo7R+z4bAxFO0+0Q4BBYr5QzJmaT1b+FjWAeN0AGZdONkGAf/grVQD+0A+CECk2EYLIc/Q5ZvghRDCKJWu7dkOMx8ZppSDii2Fd/N0AJ+mzIfhhIIgAcGQU32y5SZ0TAIGiBkS+Y/yU2749hCOCPdSwXk5wyEChiU8/FLYQQclPL8yzAIQjAQ6uFg+7xS6lCoAA9E4WK4Smut9SvghjrHtMm9hKRw/xYAO0MDvAi1sBn+BoPhz7AHxOy+iOmkGoNWqAenI++TPPe+xbQ/jUajfT6z+T+CHTGzIAiCIAhCAYhwFwRBEAShnxkyZIjL5fL782t02tHRoZRKJr+bDHcNClyQMfU8B9bbhJYgDIDT8vRWZieguLg4x+OzCHFTCup2u7vp4FQ7PAk2Qge4IQQDYAwclde6c15tL4U7cLDWr8Immz5vWtQOhQlwLFwDLfBZXywVWLhwoXmQS8pKLtp965NPvvrYY+/DJtvX1AshKIcaGAW7QS08otQ1dqrLtd5L6xfgU6iDdohm1u5HwwR4FdZAHbTZ7Z8wnA7jIQhPZ12hiXc3IUtGu6etr49AyFa1tzhas5ZAk20VWwMa1sJ2aIUYrO9F31TDaOh0lLqT0mU0Ow871lmAap/etVtpj2zs6SwHQ8huQuzmeH45DIIi6IAtUAtKqV8pVWqTZ14GrfV0x+TmuyyJRAK7vAaYDGtgDBwAn0EVfACjodV2FDDZ+gqaoRn+p2vz2C8VJvK+o6Ojz2cuKioCotFo9uQZQRAEQRCE/wx597wSBEEQBEHoW7Zt26aU8vl8tbW1uesSI9yNZwE6bGCIqXDvjXCfqfXflfJBAEphXJ7Do9GoUioUCuU1ykjhbrb34osvdv6Y3QUvg5Pg/7F35/F2VfX5x9/r3PlmnkcyEOYZRcChQoQCgoJQg1NtoQ61tnUWlV8dUaBUpU44VGu1ikisIE5oZRAVVBAFmYcQAiGBhMzJHc9Zvz+26/TcMefeXEz+WJ8Xr7z22Xettdde59xD8qxnP9+ZKaqll24+G8I/jam9fUwEd7wkxi+EcCKzaaeVEo200MZX2cLpuzxVFHn6gy7vUBTNhtoFKc4/P0bcEsJcJtJKE420Mo6JTGMO/x3CPVwU47tDeDXzuZ6DmM54uumu0Z1rOYNCiv090xlHC0000coxPMZ17MfzhriL4gmLp2mmKcnlA3eBijNFcdTtVOihKIzwOPNZTQPTiLvgbe/HPLCWifwD/8pDI69R/GWwjBl8bog3a3iX98C3+CMhPIt5TKadQE/SvgfV3FfRNMSynMzjlJlfc7KIei+nFfhCCBfwpfRmFYnw1VyUZRSlS5+gg9UsRErzP4YH6KIpVbUNbKCRNj7PGs4O4cox/fXfRYob7OzsHPORi/3aZ0LKz2QymUwmkxkF2eGeyWQymUxmN/Nv//ZvaGpqGj6svB87duwIIVR98Z01gntplz0FG2tKp45UZOzu7i6VSlXr/YjYleyXt8R4L1tSmPtk5nIIF411ssTwJWHr500x7hPjI2yhTHOKdN+HY5IiuSsUTuFakb14mOAz9XUfxu1ePf/cGBfG+ADrklpdfGaKrJJ9OJwT+VoIgX2YwulM5Lc8xk/pYssQoeqFwnske7GCdSlUvZFxTOGlLOA+fjL0XUxjAtvppZEdbK3JM6kyiS10p2qcxXwKD/46ttJFhTWsrW/16mE207mMybvwb5LlXJberLfVvF9n1xQ7HciVMfZTos8O4eoQTuMg5jCeyNb0pMWVKZrp4/yA37OC1WlJbx0w/kNpu2J+3/NFQeDZ6eUhtFPmYd6XHO7lcnl5ujUs41jaWAFWsppbuYMSO2ijUOjL9PAk3bQyg/P41J4ULNPQ0FCpVDo6OurvstNiGAVFOdZnQsrPZDKZTCaTGQVZcM9kMplMJrP7qVQqTU1NI3KFb968uVZwL7TIMYmUwV0pUqONabxlJKJVIfqMNJK+yigi16tdTozxYbYRU5j7fI7kvWMnulUqlTFxuFc5NMb72JhifCYwk8U8i2+GMKKV70eMcVDR/J9ijDFeW98gIVE7bL82x8T4bR6skd2LAgDTmMc+HMFf8h3eyXru5iUx7h9jD4+m3Jjhq6oexSIe5KmknjekRJGZHML9XMFvhug+g4lsoYcSrWxjY1/1fA5TUnZ8ZC1trGEa+7GQecypEYvHihn0pgIMu8in0vs1fK3jgVJ7Ic1fTvG8QokOnuROnpek+bND+FEIS9mPGbRRYTMruIIY43/xc+5iJa308se+112RUuxr772B6Szhhak6QrlcrsbdVG31yzgJrOIInpNioyr00ko3h6UqBesop6CbZ3H+CH+JTj311BG1r5/C4b59+1DFBUZPIbjv2LFjzEfOZDKZTCaTGQVZcM9kMplMJrP7GYXgfsEFF6C5+U/lUbckwV1yuO9KzcB3x7gtZWdPZNFI+m7fvr12J2B01K+592t5dIyPsYNAO9NZyLG8cYw09xjjWDncqxwb4+9ZRxclxjGdvTiUU/j4aGdeGykzkJNjjDEO9CYPRVV2L3T8fj99d4zPifEaHmY9O5LsPj7J7vtyJKfwY36Uer0sxiNjvJ6HWcdaNg07h2PZm/t4kq1Jdm9LsvtxTOU2rh+i+2wmsZkid6Mox7qZp1iZ2syvMcUXDvcm1vJE3Qs1CmayDw+N3YAfHyJ4vZ+xfaAL/q108BT38HnOTFL72SG8l/2ZzUQC21nNbay7/PLDuDGE4lmESTTydp7iNr7FL7iblTT1Tau/j/1rnuSYS6lUqo2UkWKFqjzIC8G9zOU3jKNEZxr8UAJdbAQTmM8LR/hl2Nra+p73vOfYY4+tv0udlEqlcrm8efPwu0uj4Re/+MXVV1/9u9/9bsxHzmQymUwmkxkFOcM9k8lkMpnM7udFL3rRr371q5HGsMQYm5r+5GX/hxjvCSFSSoJ7265N6Ukmp/iOGSNJQ964caOanYBRUGfUeLVxP839kBgfCmFeyhOfQQ9LxyjQ+ZkQ3DGd63kBM2njHL5OC+1M5Gsh/IovjXDyAyNlBnJUjFeEcAQzU3D58BSjLV8+eBHNf4wRXw7h2cxkAs0pe714LyYxnXl8KYQ7UvL4uem+bgxhNqvT0wlD8QJwA3OZTFvKjm+mLWnlt7OSBRw1oHvhsH6M9hTvXnRfzwb2S82W1HR5nIZkhx9zh3vBGraOKsm9yiMsHnCy9n3663QwvPr8ztTxA1wZQvV+Z9NAhR1sYRWns5yZr371VMbRRIketvJ6HmYx02inKQXUrOPHzGQiLTVz/gOTajLcL+a96bq1mvv5LOPf0hbgMen8HRwO7k9VdhexhglMZhF/Vc8KJr773e/isMMO22nLkRJCqFQqa9eOYS7R/43c29vb3d095iNnMplMJpPJjIIsuGcymUwmk9n9VCqVEEJra+sJJ5xw3XXX1dmrVnBHb02kTOMQtSjrZ1mMvwmhqIc5hf3r7njppZdee+21oxPcB6rDP/7xj7ds2fKKV7xip71qZfcreS2zaGIiZbo5eRQTGkClUhlzwf0DIbyJw+nmET7EN2mgIYnI45nKhSGcPxLNvc5Cqa+IETeFsIopTKhj5GXLlhn6KYTXx4ivh3AYMxlPS5Ldi3uZzAz24gsh3F6zkXB8jPhRCHuxKj2gMBTVZOt7U4XPJlpqVmwyW7iORo4b0H0vsDKVY21kImt5nB66+tYKnj+g+9jyNJ1MZRMP99X662eg2t6Pb/CNEPA6tgzRplagPz2Vwy0I7GATz6ppc2hac/SylYPSj+6iLWVbdaeNhN8yM5UI7mIDv2RKKtBa/Gb19PTUrsDyVLV14AwfoiMlXxXsz330cBfr0k7PdPbnshDePJJfnzvvvLP+xnVSONzrr4xdJ695zWsmT55cLpfHdthMJpPJZDKZUZMjZTKZTCaTyex+yuVyuVxubm6eMmVK/b1ijLV1VntqImUaGEE8zRBsTmUwJ/RNXq6H2p2AehiqRGfhKH/Vq141ohHOj/FWNqTSrxOZw4F8epeDZT796U9//vOf38VB+nFiTUzHo7yDp+lKMeVFEv3+PJ+vhPCaum9h+EiZfrwwxstZwVN0pAK8wzNMVdVfh3Aah3IjK9lAUcyxhYlJbd+PoziDy0L4u5pxTo3x0Bhv5hFW8OTOpnEgc3iMjXSlHKQJTGcuS5jCjVzB7wf0XcQMnmIrj4Nm2pnEYzxcxyLUsnGE7QueTptk1TUfXbbMY/yRtdzFH4Zt+ZUBgTPLB4ug+Vcm05IazGXvvmq7ZFSfxzwW1qjtmEQzC1hQY9ufQTuRhexLK7MYR4WFKVKmp6dnBTdxb5rSoPE4y9jKoRzM3tyRzh9ASwpzX0svbczi8JGHuY8tb3nLW0IIz4Qs3t7eHmPs6OgYcyk/k8lkMplMZnRkwT2TyWQymczup7e3d9u2bU1NTePHj8CYXqlUagX33r4Z7qMsWlrDw3SnmOzpI4lB77cTMAwDa3IOHKpUKrW1tdVZTLU62lkx3pv2DFqZzDwO5cLdKroNyvxUZHITv+fYGG9iNVuJtDCJ2ezNkbycD9V3C/VEytTynhgPi/FWnmAr3aOS3d8bwu9DOIBi4+hkOvhFX9m9lYnMZC/25zmcxWdDeG3NOK+I8agYf8CDPMCanU3jEOalEqxF1dOm9GTAHBZzCNv4Dr8a0HcfZjGfjeygl0AL43mCVXUsQsEI9soSG0AXTawgECmPSnPfi3Z6mEYjj3P7zrrU6uzLBmswk1mDid1rWMtqOgdsxa3icVbRnR4jKFjJoyxmIXunkxPZl0XJ1F8V3DekbKUV3F4zt9oaqss5smb8OengfvZjR1rJDUTGMy+FEdXJmIvXkydPfoYE96ampnK5vGnT8BUQMplMJpPJZP585EiZTCaTyWQyu5+enp5TTz3117/+9bhx45YuXVqn1tNPcO+mAgINYyG4/0OMvwyhJRmTR5R0sVOHez1CcIzxBz/4QalUqpZgrTMmpRoyc1sI+zKBNqawF52cF8IluxzmPlZ8L4QXUmI7ayhCY86OEbeFsICJNDOOxpTqPokvhHA9w0fSj1RwLzg1Rvw2hKIAZm/6OA1P9Sp3sxfjk9Z5L8fFWGRtfzeE/ZnGOJppTSEzE1LV0wV8KoSb+Xa6r39OBz8L4W4m0ca0oadRBHn/jukpyqapb4L8NDbyP4xndmpf5cCa40dpSsE+aynTy8KaBssGU6JHSldKwsF0umikgdFtCi3hDtqZTANN3EEXR9fRt1bL7kdx5hM0pS2BHjpSoea701tZfEh6U8h7Iw/QnPxNvXRwewr/aSDSze9oS83+WCrFGLu7uyfXmOIfYjm/4+LBplocr2ImjzM/VU/dSolu9mYNE5nM4jEq5DA6iprYtSVhx4RXv/rVU6ZM6e7uzgHumUwmk8lk9hyy4J7JZDKZTGb3093dXbg729vb60+VKZfLDQ0NVYG+uybDvSGpeLvIOialRPhZdffqtxMwkJ2qwFUze4wxhFAV3Gt/WqfsfheLaGcc0+jhubwuhK+MSnd7wxveMNLatsOzD+1U2ML9/EXNj46K8fshHMJ02mhNmnshUk/j/BAuHPouRie4Fxwd4zdT7dNxlIn1/b35YNDFOu7kxTXTOytGXBPCPkl2b+pb7HQKM1nIpSHc0nc74cQY8b0QFqbg9RlDz+HZ4LfMYEKKaC+e+Wjng7yfbazhWyzm2MEGWdj35ZM0poiSItJ91Gr7YzTTWONn7+DplCaPONoYd2kL4Z70zESJVm4n9PWDD0PtfdWK7+/k3+lkG08zh+lpewBlOtlBJT0QUyJQoYvttKRtj5BuuUwLUwj0sjnVFO3u7i7zR1ooJeX92TXzWZbmubxmbugAa5jPs7gb/I4n09Wn824uCOH9u0Nzb21tNVrBfZgt2HHjxhV5MqOfWSaTyWQymcxYkwX3TCaTyWQyu5+urq4Qwvbt20ckuPf29jY3N8+a9SclvKuvw31MBPcSnYxnPk/V3SvG2NAwuCt6eP13YGhMUaR00BKsdcruh/AQ81JIyAy6OWG0XtexLZp6dgi4gg6eSuVGa3lpjPhDCPOZkGJSqpbtyXw2hJuGsLrXuT5D8ZoYcWMIezOFNsqUU4XM4WmpmUA/To8RPwxh42tf4wAAIABJREFUCVOT37m1b3nYWSzi4yH8tu+tnREjvhbCATyUPOxD/bYUtu6bmZWKfzZSbJVMZyJTmck2vk87szhk6Duq7jY9yZNU6O0bmVI/Ra+HU03RYjOg+OXdRnMdzxPslIPSJYrx11Phd0m2rp9+tve3pZf/nvT0XrroSFdclazrFRb0HWoVFRbVnFnZ9+UKHg+hUql0dnYG2qjQyf3p+Y9i42TfZGyv/bM4OB88P4X1d6eZlFjPXMYxpz6//zNBsWvY09MztsM2NjbGGDdv3jy2w2YymUwmk8nsCllwz2QymUwms/sp/ImLFi1av379+PHjTzjhhOuuu26nvXp7e1tbWydOnPinQZLgXjjc6xFGdz4xFtLORuqvglqpVAYK7iOV2qvnQwjDBNTUIyv/gLOYlQrAzqKbk4bpMDTlcjmEcOKJJ/7sZz8b1QCD8Mp0cOUQDY6I8achHMBUWmlN729bqg76jhA+OdhehV0Q3AuOjxF3hDCHiTSxjK9ST6mB6qUHvrmnxYhrQ1hcI7u3pZqlE5LsvphLQritr+z+t+n45yHMYjVtTB1iDs8rWjKXicziKUpJ5R+fcma28yT/wwKe03eEjX01/drnPJ6kzBMctbOluDcZ2BspJWN7D+sYx0IepIHxu+BtH8gSHqGX6azbtX/29LO9v20wg/9qKsyrOfMYqNDDAlbwaDrTSzcP16xGd3K4d3R07Jd09n5bIPfwQHKyq4mUqXreCwovf2vfjKA1TGESC/mPEN4wxBfO0qVLh1+KUVPsGo6t4F7kyXR2dnZ2do7hsJlMJpPJZDK7SBbcM5lMJpPJ7H62bt0aQmhubi6Xy62trTNnzqynVxFEU62zOotKSpUZK8F9W42IX/9fmwYK7sOXRR1mqHK53NTUtNNE+EKXH+qnb2Mhz2UazSmavJtPhfDWEZrce3t7QwjVTY5d4ey+Ex7ebn9SjLgrhDnJ6j4hJaGPZzKXhvD2viMU5Rl3UXAvODzG74dwENP4Ko0pEqTOCr/VSP1+50+JET8NYRFT+srubUl2n81iLgrhfTXda2/qR8xnVeo+abAJHAeu4zY2JUN9A401Ev8UprOda2ljRnJtD/O8SVV8X8vvfvjDRaedNn5AFk1BVfmtGtsbUkDQ09zD+nTjD9TkqOw6i8EqPsq/jNGYAzNnPkEPG5jE6lS6uQiZqS7yqqSql1K+fEzJ+MWZEiGEGOP27dsfokyFB0BPyrXvoUwrH0xafL/E+eLl+YxnC7cxgf3BHLakYJkDd0eYe2FFH9uk9fHjx8cYd+zYMYZjZjKZTCaTyew6Y/ZEcCaTyWQymcyoWbNmDZqami688MKmpqbJkyfX06sIoqlGitcWTS2NxJA+DE+PSnAvwuWL4xDCUJpvjHF4tR2VSmV4h3udo53JfWyhQitTmMehfHSEenQhuO96jPv3Q7iMK/jGSHodEuOdPEUHITm757Ivx/CNEN5ccztj4nCv8tIYl8R4B2vZSjnJ7lvrHiEk+p0/Kcb9YryTJ9iS1NV2pjCbRRzCC/h2CB8dbIS/5GBuYSVP8ySbhpjACRzFfjzMk2yhK2XTtzGR6cxhERNYx/e5nRV13NpsTjvttINp4TYe4gnWD9ZyCXN5iq10My2Fy8/kCA5iv7FT26ssYPmACrFjQhHnsoAlfIRAd9qla0gxPgvSf4tpZgmLWMTi5Pdfwt589NxzC4f7pk2bUEpCOQ7mAHAIB7I/h3DvEPPBkZxPM0exDfyB2ylSV8YzZ+g7Oumk0T36snOKL7Gurq6xGvCMM85oamrq7e1du3YtXvziF4/VyJlMJpPJZDK7SBbcM5lMJpPJ7H4uu+yyGGOhyDQ2Nk6YMOHMM8/caa/Ozs4QQlGLD92UkRzuYyK4vyfGqog/IsG9CDoftbG9dqgQwvAlWPsNO9TIx/MI24lJqt6LZ/HukUjSRc3Dtra2+rsM5OMhHMYkIps4Z2f29lqWxngNq9hCL01MZCaLOJTT+Nd0O2MruBccF+PNX//6vTzJNso0jVB2N8QezAkx7hvjH5Og39tXdl/MobyQb/Ghvh0rbOQAjuLHPMhTrGHj0BNYyuEsYR5Ps50eAs3pcYEZzGcxvdzAL7mPx+u4tdkcxT48wFoe5Uk2sJGNNRL8wSxkFr9lW9oqe7juBRwdj6Zw82eI5ezFYg7gnam0bInHWMnDrCSwkkd4kEfS4zgPsYIpU6YUgvv1119fHbP6Kbk/HdzHvdwD7ubDfHCIyXyEu9O3VrH7t5HI3zDMfmZbW9t55533mte8ZnSLMAwNDQ2VSmVEgvvw+TbTp0+X4shqDzKZTCaTyWR2O1lwz2QymUwms0cQYyxk5R07dtSZKrNt27YQQlGLD52Uk4Y1IkP68BQifjHgK+pTb3t7e0ul0q4Y2//v6iMU3Ie/xFE8nuzh7UxnEc/l3LpV6Z6ento1Hx0nMYNGtrOSU0cYbfHmGA+Mscgh6Uz3MpX57Mfz+GoI54YwhpEytcQYN1x9dVHN8im2Uxk72X1pjEtivLtGdm9kHFOZw94cyvF8k/fTyxYe42YOizHG+OYYnx/jvjHezRM8ztNsGXYaB7GIuWxKOTmFNXsC05jFXzCBp7mLO3iEJ+u4u+M5hN/zGE+zI428kQ1IkvHRHMYBrGdryih/JlhNmRn8nj+MdpBbwM11tCyc5nsxn3ek0JhFLGARgX1T3I0UQVM8NVKpVB4iEnkw/bRYkwr3pS4hfdEVf34w1U0tqB58iI+CQ2nhsJoPw7rjjx905i0tLSGEMS9tKkXKjKEs3tLSUi6XiwcC3v3ud+dgmUwmk8lkMnsOWXDPZDKZTCazR1CpVApZ+ZJLLmloaJg4ceLpp58+fJcNGzagKv7uSIK7sYuU0dc1X0/STQjhNa95zRlnnDHoT+uX2v909XIZIxXcq9caeLmDeZKuVKNyJks4cUCi+lB0d3cXafujmE/B9SHsRRtdrOX6nfcYnOfHeD2Ps5UKzako6GKO4GVjmuFeSxGXv5jnMo8HBsjuW3iq7tH65cwUx8exhKqPflDZfSnf4mKWxPjSAe/yCTEeFONtrGID61KcSC394r/3YwGz2UJ3ipppZxLTmctCermZR3iA1awfOr6m4GUcxb48yNqakR+hrW9YzXNrImWeOSrpYBSa++1M4SFwM7/ixvo6Lk86O5bxaPqOWgn2Zl/2prW1tXC4I9R420PNd1pBEYhfJOwfnE7exQcHVE+tPS6M5UVp0UZe+cpXvuc97xk422eitGlBqVSqVCpjJYv/7d/+balUKpfL3//+91GpVLZt2zYmI2cymUwmk8nsOllwz2QymUwms0dQFBp90YtehM7Ozra2tlmzZg3f5eMf/7ikEGFLjTheGNLrFJF3MjEkj+pOi2QOnyEzUrVdykwfneA+1HWXsJ4eGpnALPbrK9INQ5EIMWrB/b9COICJlNnAHbx3Fyo3/nWM+8V4P0/TRYlxTGM+BzwzgvtNIZx8zjmnnHFGK108wSr+m4dYx44k/U9gS31O8CoDDe9/wd7clwT9co3sPpclHMYJfCOEi0IY9NmLM2I8Isaf8zDrWMvGGhv+UO94ETUzq2/UzDimMJNjGM9G7mUNm3mKjWweVnw/PhneVzGN7Ul5X8EjI1kl9WXK92M1nTTSlYTsUXzmnsUBbGYiM5hNE78Y4Y7RchYmb/u7KfNIuqPid6pcLld966ikg8D+HJDC3HEPkbtrBo8pU74ftTsrxTfkZRde2N7efsghh1x66aXnnHNObeMxT1qvUkTKbNky/BMX9dLe3h5j3Lz5TxtJlUpl48ZhUpQymUwmk8lk/qxkwT2TyWQymcweQSG4F0kyF110UUNDw6RJk0477bSddqwWFH1TjL19I2V2KWg8UR2zyNQeil0sjjoUhdW0WoJ11PSbwF60UKaVORyNYW+hSkdHR51FXAfluUyjxFYeZtkuqO1VjonxVzyR4ulbmMTsGsF9TPZdzg7h7BAOTWE421jJTzg7xvfHeHSM3+Mh1veV3TePUHYfyPNZPCC+ZjzTmMcXOJjncjafDeGtg93p38R4TIxLYrwv2cw3sKWOAJxFzGUmHTVVQCcyldksoMytPJqC4MtsYjMbWTfYgC/jOeAuHmc92+hKtvE62XskjYvc+R5aaOAJIj3E0ea5P5tD2EonM5lDMz/nhpEPtZx9WMx7WJYE90qlUs2K2ZcS+xKocD/3pwz3wuR+cHK4V9/1P3Iny1iWxPeq2n4Ry3g3OPb881/72tdu3bp1+vTpz3/+8z/4wf/LgX/88cc9M4J74d9fv37QYroj45xzzmloaOjq6rryyivx9re/vVKpXH755bs+ciaTyWQymcyYkAX3TCaTyWQyewS9vb1Fkkzxsqura/z48fPmzRu+VzX5/U+D1MQvNNZhSK+H2kiZ1iHa7Hpx1KEYK8HdYLr/oKr58LL71q1b1WxyjIhbQigEyg5Wc+UohhiCv4pxSYwPsYHu9Na/8wMfQAjh77ls12T3at+/51W8ktfxAf6+Zj3fEuNzYryWFTxNkVTdkmT3tSOUlatsppej+RoP1vjoC9n9MmaxgP14FifxnyF8aLCbPTuEz/EB7uRxNtHF5vpy54uomRl0EWlKUTMzeDbjuft733sgqfmFUtvMJp5mzWADvpITOIbDeJR1/IF7R7U+O2V1+pzvoD1F5ZRqROpR8CwOpoMeZtNA4LrRjlZ40le/7W0ol8vv433gwRTgvt8AY36xVvckh/vB+vB+/gWDpboXLI0Rb37zm2+55ZZSqbRkyZJPf/rTf//3fy/VQ+7s7Bzt3QxJkQDzox/9aNeHam9vr1QqVXt7MfKuD5vJZDKZTCYzVmTBPZPJZDKZzB5BUWh0/Pg/ieQXXnhhY2Pj1KlTzzzzzGF6VZPf/zRIjcN9eEP6CCZW43AfKLgPI09/+MMf3kW1Hd3d3cZIcC+o024/1H195jOfMapM+e+GsITx9LKOW/nMWNjba3lWjLeyNlndW1l6yikhhCUcxcs5b1Sa+6BK/ZUxXjnY/N8Y47NjvI5H+sruE5nOmlQJs34m0chmzuIurqrx0d+TYtYnM5P5KWfmBZzFJ0J4XQj4fF/9/T+5gF+zMpUz3cTW+pT3+cxiRt+omaKwwZZrrvnv9773DzzGhpoqqW08Muxmw8kpwH0Fv+T2vjEpo+ZxHqWTHfSCfWlK5vFOjtjlSxzGgfQwi3m7VqV5Ofvy0CmnlMvlQs3/Mp/mQv4f96dm/T6IB6WDu9JBUW21TC+/HexC/T63l1122ete97r169dPnjz56KOPvuCCC1paWsa2tGnBueeeG1Id410fqrC3L1/+p/icUqnU29u76yNnMplMJpPJjBW78jfDTCaTyWQymTGjp6cnhNDe/n8ieUdHR3t7+/Am936Ce09N5PozESnTUnN++PSVH//4x3fccceuX73IdhhDwb2g0NxDCMuGTW8v7nGgQD9Swf1DIfwNU8Am7ufcsVbbC06LEXeEMI8JNPHyV72qi9YkDX8qhLfWfel/COEcPscUGuhgDb9l/DXXLF269IYbhswROSdGfDOEQ5jOeJpppZk21rCVDRxb931NRc0b8cUQNnAW22hNn8xi8AlMZkbKef9iCCsHG3A5V8b4hRAOYwYTaGFLSi+ZtLP5zE0Ha2ngeWecccs111QqlcPp5AYOYBrjuYKX08ijVFJ8+aDUpkf9nHEcVcfKDEMTTVToZSM305Pc6EM9qjIKinSXBzlu18aZTiflN77xfQN+VPyGvpVtbOEjRCr8MX3j9SaRvYduuuhkO8fyjjo+7e94xzvw5S9/eeHChd3d3THGMS9AOnPmzLES3Iv/R2za9H8lA0IIWXDPZDKZTCazR5Ed7plMJpPJZPYIuru7S6VSa+v/SWEf+9jHSqXS5MmTX/3qVw/Vq1wu14rR3Sl1YfgEmBHRU+Oar5YKrac46qiDzmvZsWMHSqVn5O9scQibdj9ConpmpIL7Gcyike2s4qRnRm2vcniMf+BJdhBoYwpz2YejuXyIrPN+fD6Ef+LAFDq/hYdYzrYvfanOMrZ/zRH8kkfZSBHS0Zqqbi7gfm4ZyX1V34W/j/F9Me4f4z08weaasJdqddMiZ+ZwlvLSvobuqs35TTE+L8Z9Y7ybNWyhG2xNUe87ZTYzmQHefcklRdTMKcwl8g6ew4aaKqkrebSOYY+rUdsHdWoPZDWP1ljp56eir2jmUNppoMyRY2Fv78e+I392oR/tTBw2BetTfIXlHMhBfJaP8DHu4Ba+wwtiXBrjyTGeHuPZMZ4bYz1qe5XXv/71a9eubWpqWr169dy5c3feYSRMmDBh1LJ47c7W61//+oaGhs7Ozv/5n/8pzrzrXe/Kgnsmk8lkMpk9jSy4ZzKZTCaT2SPo7OwMIbS01JrIbdiwobW1ddasWUuXLh20VyG4v/jFLy5edtc43PsZ0kdNTxLxG2geSXHUogriLrJp06YY45g73Gv5UqotuVOKe++Xm79TfhrCQtrp5kluGt0sR8iJMX7sjW98NGWgNzGBmSzkUE7m48Nq7leFcAqLmUCZ9fyRw2J8b4yVSsXOdlNqPySv5HBu4bGUnF7sAUxKsvh93Mx367612v2Pk2I8LMbfpsqltUEuRYjNPPauKaz6AmYNNuCJrOR3rGJjqpLaxBY21lf39fTTT5/BDEq0MJ4pfIL5NHMXj/F0qpK6gpWsrOl+1xDDShV9V3Avtw/dbB7Fx6wIk3mQLlazkbncRkx7Zn+o43ZGQYV7R/vx/gORvWjlB1xVR5cvpLKo5/JWVqe6vrtSq+C8885ramqqVCoLFiy49NJLh/rWHQVFNPwuyuKveMUr2trayuXyunX/V5R30qRJIYSi1kUmk8lkMpnMHkKOlMlkMplMJrNHUFi5+wnun/zkJz/ykY9Mnjx57733HrRXb29vW1vbtGnTipedSXAfmAAzarprHO7DiKz9cldGqkoPxWc+85lrr722VCqdcMIJ11036rqMw/GGGH8QwpNMHfYGq5x66ql4y1veUs/gXwjhJUykwgbu4u3PsL29yhe/+MVrzzxz/YtfvA9TaKGNxnQwka+H8Eu+NGA+Pw/huWk1uniKO3hpajbM4wvDPPfwcnA1+zCN9r4hMxOYwi9Zm1rWQ/VyxZQ+HsJRKR+mlSaaaaKN8UxmOnPYm6+E8CgX1Ay1jKMZRxPfYv8UCNOSaiFsoocu5u9sVjNrjtfRQjvH0MUO7mAWE2mjhRWUWMQhOxu2+P1fxUN00TFE4MxcVve98bX8ktWMo4W/2NmFRk1MO3M38cIR9j2C39JbM/8fsJ1X1D3CFengHZwTwo6aH9XzFEuVhoaG2bNnP/jgg8WX6lDRSa8MYQbtPDLYIEcS+25svPAzn0Fvb2+//YBJ9LK9vqlOnTo1hLBt27arr766enLcuHFSrYtMJpPJZDKZPYQsuGcymUwmk9kj2Lx5s8Fc4R/4wAcuvvjiWbNmnXXWWd/9bn8fcE9Pz7hx4yZOnFi87OgruI+Bw5yuGtf8oHr0oDVIY4xjEilTDFUqlar3+Ezwkhh/GcLBFBHL9djph4p378cLmU4Dm3mEl/251PaCGOO65csfWLbsL5jFOJrTB6MtubAvDOH8NKuPhXAqhzKJEttYzS94Q820Y4wDI2WGD/SvdiwOfhDCEqbSnnThquw+lV+whrNHcpvVqy8Dr2Uek9P4jWmboQgtmcosFnA5q7mb/wJv5nK6+Eue4gqKRavK98X2wNNJOt+njonNSAdPpRj956Z48duZw0TauZ9GGli0swEXgNWM58FUE3UbJ9S0mcfD6Y1exJ1UaE8p588Q9xDSv6wiN3L8CEcojPy/ZnZ6BvlxvktlJHsw+CS4lLV0080bQuigm3Fs35mo3djYWKlU3vWud/3jP/5jceaSSy75zW9+U0S4vCqEI5nASektO5yrBwzye85gAdekM8VO6kAf+ua+L/vJ8TPSyStjPPfccydMmNDd3f21r32tts33v//9gw8+uKh1kclkMplMJrOHkAX3TCaTyWQyewQXXHDBtddeO6hI3dHRMX78+IULFw60WxalVguTI+b2jZQZE8G7c1iH+1CK81g53CXBvXqPzxAviPH3ISxhAr1sY3IdvYaX3X8RwmG00MkT/IDnjemc6+TGV7/6Dd/85s0hLGYyzbT31aC/EsINnMIy5jKOChtZwX/wxb53V0TKFCE/9ejsBqzPS2K8JoQmFjNlCNn9Jp7gIf5lJHdaW//2xexXY1RvpDXdcmGon8E8lnA0K3iUaqmEK2M8jLNDeBuP9JXvm5P4vpaOYYug1lK1vT9V47jvYDu3Mo9JtHMfTZR2NmxRRnlNTZHYO9jBVk4CS4ratvw2FUptoJHn1LuQI+PeVIu1qGVafF38fFRlVIs6ur+hmXmspszVvGyE47wdXJoOaql+aF/HlgH6e6lUKkqbfu5zn8PSpUtnzpx53HHH/fM///PMz372JYyjkRKBYqBz+eqAq3yP1/BqLgdNTU0xxlH70E877bTFixdXKpWNGzcW+nvtTy+++OKTTz55dCNnMplMJpPJPBNkwT2TyWQymcwexKAi9Yc//OGLLrpoypQpS5Ys6fejzs7OUqlUBASjp8bhXhojh/tfpYNVfQX34c3dYxi8Xliqa8vJPkMcGeN9ISygjXE8zZo6sj4MIbtfEcLxjE8Z6Ldz4Z/X3l6dW/FGPC/Gb4VwFDNpTxp0rcZ9By+nhR7Wcy8nxDgwt6S4zcbGxp2q7YN+Qr4awpE8l0k08b8sTLJ7Y5pYe5rSbL7FA3xwJLe8PP1ZfHJ+wuyU4tKUPO+F33wS05jDItaxijtRYzT+9zTm2SxmagpmqQ6yjAvorLsMaaG8P1Wz2zGFDrZxMwvSUtxLEw3DKu9zWJPexOouwu85kv/hfl47kkWrZVnfrYthuD+50SO9HMiNSYzeFY5B2op4fBeM+VO4jDcP8dOvoEZ/fyObUirOy9NH94YbbvjABz6w1157HXzwwbMZn+73BH7KSfyEyN/x4vSABZazjG/WXKvYSR214L7XXns1NjZ2dHTEK6/Uzwh//PH4yU9+8t73vnd0g2cymUwmk8mMOVlwz2QymUwms6dQqVSGimF53/veVwTLvPzlL//Od75TPd/R0YGqGN1FOTlMx8ThXiuqLkgHO81RQaVSGUPBvVQq9Uu3f4Y4IMZHQphDS6oXejt38Td19K2V3f8hhHcylcAmHuSvd4fa3i/+5VUx4tYQFiS9e1yN1X0SX+M6LuZWXjHYhEMIn/rUp/Ctb31r+OsOPPnREJbyl0yl+LzuYH8e4DEWMjmlzLfXiMjTmM03uZ8Px1inp746WxTW32+ziCk1uTqNfVXvmcxnf57gAdb1HepKcCKHpJj4YsfiUiJtPEw3nRxZx8RqDe+F9F9k3RQu9bU0palWlfcwWODMHPBE2khopT2d7+GnKe19RPk86lbbsT+4K+WroJR87seP8KIDKfz4t/OsUXW/ggoN/Cd/V0f7L9UcvyuE7WxI+vt9YDk3sJSf8TNO5KdETuHHqUGhuS/Tn8bGxhhjZ2fnUFc/hchPBvvRuHPOaW1t7enpWbly5aQ6biSTyWQymUxmt5MF90wmk8lkMnsKw7vCBw2W2bJlSwihKkZ3phRylHb5LzqDipv1qO3GVHCvVCp/NsEdN3ISM2lkIrPp5vO8qT61t2hzK7NpYjuP8aLdobZX6fdGPCfGq0M4jOm009rX6j6NLw9mxq/e+1vf+tahLjTMZ+PHIbyKGYyjRDcbeZTv89GqmziEvZiUZPdCEC/E6MKH/o0Q/h//yNyRL0JRfvPf6FdYtSWVb+1XWPVJVvJPPM2HeRcfT0or3sRsPsRFSRCvJuM/lJT3emTiquG9uSYfZjrb2cJjtDGV8bTyIA2pyGotc3mI5vQ+/jFJ3kVoew830EXn0MEs9Vvaa6m1t5fZj5/SQ4nSqEqnDsqzRqW5X5+CX7CK/6aDN9bd/RPpz7VpJYtnHZaCE1nGMv4jtf/PJLIv76u2V182NDRUKpVhBPdrOYWTB2ruy5ZNmDChCJOZ9NOf1n0HmUwmk8lkMruTLLhnMplMJpPZU6hUKo2NjSeffPJPfjKI0/HDH/7wJZdcMm3atIMOOqh68vHHH1dTanVHjcN9qBqndTKouHzDwFNDUC6Xx1Bwb2hoGFhO9hni3Bh/FMJzmEIzk5hLN58IoRCU65HdC3NuF09xc915I2NO4XAf+EYUtVt/H8J8JtDM+GSRLoJWPhvCTSneenTRMVUuD+FQjmYijZTZxBPcyjkxHlPTcmmM+HkI8wfI7tV6p3P4X97LB9laYxWvk3eDn7EiJbO3pVj2pr45M0Vh1et5nFYO5BvJvt1NYX9+MY+kEJiWNNvqhB+km4PrmFWt4b1fyvw2NrOCCUxPyvsDSU1elDoWFVzv4hB+n0o4NPDsAdcaVFsfhdou2dvvTvb2m0Akjiq9fXiuIXJG3e1fBH6aYrUaaOe/qNTndi94J/9Kz2CFBJYP9nLZAG979WVDQ0OMcceOHS/nOwbnWk7kxLSpUzBjxoxSqbR169beIZ4pmXHjjcs5/vjjQ/qCymQymUwmk9ntlHb3BDKZTCaTyWT+RLlcLpVK06dPH6rBeeed19zcPGvWrHPPPbc48+Uvf1mN4L6lr+De2C/tt24G1VifpIFX1DdgcS+juPRAKpVKCGGosJ1nglNjfICtRFqZwnwO44Mh4Kqrrrr88svrGaeFJbx5t6pgIYRB34gbQ5jNbTzJdtDGZOawD0dxFu8MYXi1PcY4jMb3yRB+E8Lx7MNUGtjOKm7m4BjPGaLjcTEuifG+NLEyjYxjKnNZwmGcwBVcMpJ1qOVETufZ/JwVrGNbsma3Jpv/XBZzEMfwMv6b97GV1fyRZhbyGl7IQdzGStazlW4ijcmx/ggPche31TFvo26HAAAgAElEQVSxmcxKUT+TUlnXvTmIyaznVr7Fap5mGw+wgkdYiVRv4EgO51AOreOK945k3e7hAR7kIR7kPu6mh83sRxe96cvnpqS/7zq3Iz24c/UI+57E8cxkHnvRREjR7XUyngl1f9KWJ+V9IhPSy+K/s846q1KpbNu2bSi1veBnqQhHwbrjj29qaurq6tr6n/856IWqBzfeeGN9c8xkMplMJpP5c5Ad7plMJpPJZPYUent7m5ubJ06cOEyb9evXT58+ff78+cuWLVu+fDlijFUx+k0x/jGEmFIdGlNYdv0MJbBupYNGJtc3Tm9vb0tLyymnnHLttdeOcAr9+fML7nh+jH8IYQnjU6zHQrp4SwhLv/vdUqlUv9t90JKqfx6Ki/ZzuH84hJdyGJM4he08wtxkcp+QvN5FxMp83jHYyG984xu/+MUvDnPpn4VwZkqtKdHFBh7h+THuXcfMXxDjV0I4kDlMTPEv/YqdzuVA7uLSESxJH6pm536FVZtrFqG2sOo1rOKPfJNyKna6gWk//OGmzs6vXnXVqd/4xhwmpRj6xuSdL7JxHkjRLs8ZdlaF4f3JFHfT1jfuZhFreIpHeQkTkkn/4VStdNGwg/ezZh+YDu6hkf2G7Vt9sqbqai9CbI7gBirJVz7mxPRnZScNB+dEcB3zeawmdKseFlHhUT7FkFFKfVnOpTwx4PwZZ/Q36P8zG9C3vGqfN+jGG2+88cYzzzzzqnTilTXzH91zCZlMJpPJZDJ/BrLDPZPJZDKZzJ5Cb29vqVQaN27cMG0uvvjijo6OiRMn7r333ieddBJijNWqmJLJVBLcJ4xkAkPJx/fXFGIdX99QPT09pVJp6tSpI7n+4OwWwR1HxPgEHZQYx3QW8Rd8+6yzqp7x4S3etYSducWfIfpFynw9hFeyH1PARu7nS9zBU3QQaGMKc9mXY/hv3py6xxgvvvjiH/7wh8PkBV0ewt0hPIv5jKfCBu7nezy/vrW6LITfhHAKh7OQB1nHDio0MZ5pzGMfjuBkvsQ/p77do5JlT+ZwfsujPJ2imRpoY2Jymi/hEJ7Hy/kcb6eZmRxIkebR29t7Fs/jIO7kseRD7wZNtCX5/n7u5LfDTmkWM6kks/zEJLgv5ACO5Bge4Zdcwarkr+/i4RrPe/0clNT2u7ifh3iYh4dofDD7s4UOytyUlPdfjJ2xveB3KUK9uoN4zWiHOoHjmD/Cf/71pj2MRj7NJ+vr9fb6vng/w/7stA7qVVdV9XZXMK2+OWQymUwmk8nsRrLDPZPJZDKZzJ5CIVK3tbUN3+z973//v/7rv06ZMuWggw5aunTpO9/5zlrBvadGcC+Si+tkKDk4xnhvCCMdsKenJ4Qwfnyd+vxwlMvlEELtPf7Z2D/GlSHMSSnnM+nh1AFrtce63YsLVbcHfhzCUmbQQg9Pcy8vivGoED7LJzmZ2YynmYakEY9jCgt4T4yoVCq1Y9by0RBexPFMpYUKW3mSuzgzxsPrmPAnQziGlzCVNkr0sA//wQnMYmLyfddGrk9nPgdzB4FtrOQxfsoFI1muorDqx3l2TWHVIpO9qcZpPoO57M03UmHVYqnL5XIPHWzhZZTp4jpm1vjQG/ra5+9LnvdjhpjSHPB4jVm+6FgE4hd9O1jDA2zkOUxMmfIPUeyKLB7JIhySDv5IEw/2rYxaVGEtahJUA+K/n54/aEjlUgN/MZKLDsotadujkZDmsIu/Ocfz3yNpX5jSr2YBFVbxySGe+ajlch7lY/TwoWFbTmTTSOaDL/R9ObqCt5lMJpPJZDLPKNnhnslkMplMZk+hq6srhNDauvMYmPe85z0tLS2zZ88++OCDi1Kr1R/19M1w34l4nxhGbVeTC99Qd0ZNV1dXqVRqb69f8B+S3t7e3SW44yaeppcmJjKb/Vm3bNnAlvfRWd+YITG2Ux3qWoU4/qsQjmIOLXTwOL/ghJq3/h0czN2so5MS7UxlPvvxPP4rhL8LoXjgYKDg/v0QXskhzKKFTtZwO/vGeGYdGwwfC+HnIZzFYcxjHBU28jDXcT7HcA0PsZ4OIs3J9z2ffXk2p/EfvIOFMd7BUu7nqQGlLIfnXSzlEO7gcTalyzXSzmRmMp99OJwX8o5XvrLo2Nvb28IEZrCOQBNLWUwj9/IEG9mRfNPNjEtZMfdxB7/musGmNJ/ZqWOJ4irV4q7zWMS+HMoG7uJ/WcFTbKaTh1LU+yMjWYdDOYANyaQf06//eB7gHlDERb2UUziRpRzHC8dCbUcLDUQeoqfmW2gXmcd/8dWRdHkZlZov1Z1SYQELaeIDw7Z8G828a+gG/zDgzPm8tuZlNrxnMplMJpPZA8mCeyaTyWQymT2Fzs7OEEJLS0s9jR9++OHW1tZ58+b1y/eoRmrUr48PqvzWhqX0jlxwL+5lp279eiiXy9hdgvvfxHgnmyjTwiTmcjD/1nfRfh3CXJrZzp11D/5My+7VDPc7QjiIKZTYwsN8Nxm6+/FC/pfH2EolidqzWMzhnEH8l3/R1+H+xRB+H8KxLGBCTYbMdzi+Dqn9/BCuC+FVHJFSaCKbWcFNHMQrU8u3cDQ/YQVP00lM6vOMtDHwbM7gcyHcypEsTIrkMpaNsEZoUVh1SSqsur1G764GvCzmvCuuKJa6t7f3vJpfk6fSQyHT2ZvjWcxV3M8aNqXgmlJKeC+s+nP5AzfzvwPms4i5SUOfRSklvE9Ivvs5LGAJB7GDB/kFD7OWzXTQW6O8DxUX049jOJwDWc82uqikOf+ScdzEDSNZ1Tq5MV0rpIcDGikly/mouT7Z5EfqlD+D05nP/Doa/zWvIbKAVj44bOO9WMDbh/jpfN7U98yF6cGFTCaTyWQymT2WHCmTyWQymUxmT2Hbtm2oU3D/7Gc/+773vW/WrFl77bXXD3/4w69//evf+973JC+qJPbtdKyh1Pbalz01gntdk2PHjh3qvpfh6e3tNaDy55+TU2K8OYQDmUQrU+ihiw+E8JEY8T8hvJBx9PIUvxlJyIxnMmcmxlgqlUql0hLaKPM0D/P8YXudEyN+HcJCJicjdlH5s51JPHTqqZ34939/Qwiv5sVMS89SbOdJ7ub0GI/Y2fT+MYTTOZcZjKORMltYx/28ZIheb6SDb3MYM1IATkvfWq8z2Iuv85uaCI7low3feAH6FlatBrwUOTNrQU9Pz4l8i0e5m0+l/PF1zEx+7X9iOzP5PPszjXGpJGxDCpwpxuzmdjrYzkk1k6nWNT3IcNxCN510soptzGJq38sVhvdKyooZfsDnpoNf0s6z+HmKVm/gl2moFw7W9w8phaZObk8lUsuspJLCanbdKlVJGTX4On8zwu6F3P9p3lJH49fydebz6LDN/pHPMm/oBrMGnJlZc7wb6kJkMplMJpPJ7IwsuGcymUwmk9lT2LBhA5qbm+tsf9FFF33oQx+aPHnyokWLuruL0ow6+zrchxe861Hb9Y2pqXNymzZtqt+tPzxFHPzucrgXPC/GO0LYm/G0MY0ejuE9ISzi5FRLdhP38fq0gKOQ3T0DynupVGqjm3X8cWghu9+lj41xeQhHMiNlgtfKwbP49xA2cwQTaKCbjTzCc2NcUsesfhDCP6d880YqbGM9D3LyEF02JOk/cjabuZ6DmZ5k99a+pu+ZLOArSFJ7keVSZgebWL2zvYdaqrP6DVNq1qSNo0899bpvf/uL1167g1nM5wCu4F4+TSObmZik3mYir6OZMl9jCVOSFN7YV3mfQDe/o4NtnFL3bJ874MwPWct2JjGV8TXKe7F58HBS3ruH1cdfkA6OAz+u2S0ISXmvbWaEavstyfhfLFdrMqTvorcd19dkwRu5yb3galbVrbnXKej/E/8+xI/+32B1CC6pOf58fZfIZDKZTCaT+XOSBfdMJpPJZDJ7Cpdccsm1117b1NRUf5cPfehDH/vYxyZMmLBkyZKzzz77yiuv3NFXcB9GH69TbdfX4V6n4P6JT3zi2muvrX/zYBiKvYTd6HAvODzG+0PYizbamUGFXq7ntUlUfZRTBixgdUn/nIb3N4TwOuJVVxV56zt4gls4d4j2g15uWYy4LYS9mEQT40AzE5jKXD7D+WzmCW7lb+uY9lUh7M+xTEzq+XaeZgUvGqLLJtqTLl/Vyn9DmfnczwFMZ1yS3Qu3eyG7z2Ihx/AbepKs/wgvYj499LCD6XWtK6nA6Q19C6v+5SteEfsGvBSFVb/OI5xXLDIVJtFLF4FG/poGylxJ8UjBuGTYb0wlW9vpYTK3JeV9c03STpUbWDr0tE/r+/Kb/j975x0nVXn27+ue7b0XehEQjII18cUGamyYRBMhdmNiVFSwELvGLjYQ6aKIJWqiJJKowKtGTdNoNLFjBaTDsuwu26c9vz+e3z3vmZ2d2ZllIfvHc332w+fMzDnPec6ZYcXrued7kwVlegmZHvOeBV+pebd9WTutW7ecGOf5v6ndPjzODvGwwTVZkAVHwjJd6ttF3lRxvxYEDPw89UGWdevUS2B9EmHu8bg5iVO41qkOh8PhcDh6FU64OxwOh8Ph6EUYY1It5a6qqqqtrS0rK9tnn31OO+20KyAEqKWKJ++Tt+1Ex9QkvxpgjElp8SAe7e3tRIeG/7fY25i1ItWaG24gBCGYBg/AJlgJB8c/fI/lzMwVmQoDYLMxgM/n+xr+AHfGmVJiDjbmRZF9oRw2wBB1sjZ2vAKehg9hpjGJM0mA50RGweFQqIXerbAD1sZvs7kTclRJN0EdrINXoT8cDH212DwNXoARGtKSocHf3mr3wTAPvoD5MBxC0KwJNgdCSM17aZd3BPCo7fehCHI1Zzzdc3PKoBoGwcuwAT6AJeBXrw2EIR384IOJ2pj0D9AfirWIPl1/siEXgtpn9S9q3s+MmVIynOXZ/q0uHkTS0tM8rj8IH8EdcA744bTkxu/whibp3/+t61hB2AjPwCkpXFMixsGftZPtrtCN/HeSC375FTzQ2fN3xDj3q+F+3Xaq3eFwOBwORy/ECXeHw+FwOBy9iG4I99bW1tGjR69ataq0tHTfffcN/P734YQF6fGEbwL32u6JlElJV/WIcG9ra6MXVLhbXofvQ6VWeYfVD14C4+GmJPz17s6ZeV7kRKiCHDDG2Ar3A+NMI0l+YAxwr8hZ0K4i25uZXgnzRd6C38QZ9jci34GjoAiywECb2vPY8BNgoybm+yAIO6EW1sAxxvxF5AdQDcWQAz518QfBYFgGw6AMcmO0+0NwCQyFR2EtnA97QT5UQxNshQoo1NzzRhiQ3M05CIBnn312/zPOyNecGW+4TQlUQD8YDovhK7hT/yfEaF9Q++OHJvgu1MLnAPSNtvkZntWOQmiHCngTmqAezk7+HY0mUiz/NFRqTn0H8w4UQxhegyAE4AepnCJ2QeXvHvn+Vz0desb94cXupr504E1ARfkX+vH7RbeGCmmyfPITexw2JrH/g7Ax6THv92w/7/nT4XA4HA6Ho5fghLvD4XA4HI5eRDgcTlW42/akNneltLS0PbrCvcNY3bDtQKvG1PxXKtybmpqMMb1EuP/cmOdFDoNyyIBCrXM/EZalElKxm3JmXhMZC2WQCW36ZIcvB3Sjav5ykR/DmfA32E9T3TM0wsWmupdCH7hX5Nro8R8TGQ3HQDFkgUA71MMG+CtMiznXJs+eAWjQYPcJxrwv8oHIsWrtrYtvhFoYpoefAiFYrsHodp62VHwmtEMZVMFA+CcshQ/hHhikd8yG2wzXwQ0EIDeJW3TGGWfYjQ+hUGNtMqOXJcqhDwyB52EdfAaLAD1vPWyGf8OvjSG6Evx3IpF+rVme7JfsaPP+BjRCPWyHq1J9jwFP2fsTUA1FesZ0z4CZuk7wpma+x8vcT4z3Ao+EpzxF/RnwJwB88HJMGE6qjAM0wL0AAANPwTkpjmPzZFZBcSrC3X5zokvC8cfcEvPMefBE0hNwOBwOh8Ph2PM44e5wOBwOh6MXEQ6H09LSTj755JdeeinJQ+rq6mx70iuvvHLmzJlt6m5ExVyE7tl2oFnrcFMV7j3S6dRG2/t8vvHjx7/xxhu7PuAusvqee3Kuu+5gKIVMKNQ695NhkshzKersnsqZ+ZXIJBgDxeCDJltXq5Ey3nOlylKRyVAN+XA6tMNfYSiUaB13uqfmugyeFvkM7jJmvshBcLyWotsK7gaNX58cfZZ3oR8UQ7ZK+UbYBqvgFTgZPhE5CgqiXXwNjNQRIg1Rm2EMbIK1MES1+y9gfpyq8xfhK7gChniaf2ZAowbOBCEEZydXRzxGN76MzoSx8SyFUKrdXEfCYlgFh8H5+tZ02tL2p/rqUpEqT/ZLWrTT9+vg/WCZmvf18FBqbzjAebrxKPSDgCdW3qcreelaNv43/Z5HCI5L/VwWr/6eo0X9Gd39v7W/6K/BkM6tETbApd2d3jJdZsiHAFyZ9IGRNrmJ2Q4zOnv+thjhfiXUdLbnxKSn5HA4HA6Hw7G7ccLd4XA4HA5HLyIUCqWlpZWWJpkjDXDPPfdE2pNeddVVz0ybFgRi/HhKoe0daPBUuCf/j6ceLEs3xvh8vh6pl9912tvb05Yv//ikk8ZACWRCkQZNJFPK2im7qN0fFjkf+kM+hKEe1sAh8LwxIiIi3VPtM0SOgMP1MkNQD5tgPfz95ptPuOOOflpsnu0puC6CSnhE5CM4V1NfArATNsP7MY1b34b+UOKR8jthE3wAX8KRcBWUQ4HmI/mhEbbCvjqC/UpHQOvT12pD1BC0wVswCO7R8PTM6KmWQzUMhjfgcbgZMmGbdhPNgzLYAfXwtGfOyZj3EQB8oosENgom8oWAEiiHvrAXPAOrRdbED+SJcJru8IJIJHU9Q7NfbISOva52aIX+MBTGQA2sg7nGJPkZi3CBZ3s2lEKeZ6ElzfM7wfa//bs2NgimIt//BgFo1xasU1KaYmccBcBfwP4CsgsD+fC4evNUI2WMNrm1FzsXLkviqMf1N0NiHoJNcC3cG/OSP+a3Sib8Rrcvgfka457qUp/D4XA4HA7H7sMJd4fD4XA4HL2IYDCYlZVVUFCQ0lHe8JadGjEciZSZJNKpH0xewl5uzAYRUhTu3YjHiYcV7qnelt3EhFtuGQa58BZ8R/NPitWsLRS5uLvmq3vx7n+A70MVZEMQdsDncLRnwO71m10pcipUaqBKK9TA53C8MetWrFj/zjtjjVkocihUQr4mt2R4Ssir4VF4CxbCFvgIzog+xd9hAJR6pHwjbIYPYCMcAod5mqDa2Hdr7Q/QEWz9civshG2wNxTDMB3KRs2E4HQ4DQZpaEmku2kkkqUUqmAAPA8b4VNYqC1JB4JPy94jRKqJuzTvdlUg0lg1IzoNxjZWBQ6GvWGOSA2shSe7+gidqjv8SaQc8lWCp3m0fmT8FugPw2CxyN2wFh5O5ZMWYapeu73qJzznzVD5bu+VUfkeVvkeVJnu5UPdMLrnC3BqEjP5KxyZxG5Wu78GaTDes2RyVtwj4hKAMGyAXyV9yDwANkMa3JBwz3Zoh1mdvZQN2Z6HV4IfzoGnAJgPwPOuvN3hcDgcDkcvwwl3h8PhcDgcvYhAIJCTk5OXl5fSUV7hfrExH4lY4f7s3Xd/9dVXLFnS6SEpncJWuEuKwr1nK9xzc5MJ0969/EXkO5ALAegHX8HemtldohEWc0Sm7EK1aarx7j8GtJp7K/wbTtNxnnvuOVIX7o+LHAiHQCGka3jLt7ACbo6em11a+KPI3lDmqbaOJLeUQl+YC7d4xp8OY2Ggtja1aekNsBU+hhoYA4dBKeRCOoShRbNovquDhDQnpA42wHehGozWv9uoGdsBtQGApQAcBmPAGuosTXqJzLYYKrTq/DFYDb+GTVAF6bANnvBkrVgmwkH33LP//vvX1NScc07cVPCDdGMV5OmprarOhefhOmiDVmiGETBXzfsTXX2Qfqj9bPeFUjXgGdq4NUsL6v3QrosKw2GRyDY4Hx5L8cPmpcOteE4D3zvId3uTw/BXLX7/ShdpGjyV8mlwIKyA5XBSV6eO2Pa/qdwPeyrrg/Ajz87H6kY8zz4xzsLJMl1lEc2EyYY5SRfg5+kvhARv4RwwMBWu6+zV62EtLPY88yD8Qm07MAmeiz9/h8PhcDgcjv8WTrg7HA6Hw+HoRQQCAZ/Pl5OTk9JRHdqTBrXCvbi4eOTIkWsuvpiFCzvsn9L4t4lcCkYNWpKEQqHu1VbHYoV7qrelx/mTiNXQIaiFD+EnxvxLZLiGe5So+JspctUuJzykVPBu3xebdBF5f41GyiR5xmtFJsCxUAbZENbwlg9gojEHe/b0vrM/MmapSDkM1BD2rJjYliXwERTCUTAIyiEX0iCkqv0zqIPvwKEaL5MGYWiGHbDe02MzCH6ohe3QH/rDII+Ut/XvJVr2XuNJngEuhTZohPehjzYFzdB1Am8SfTUMgj/AevgUHoZSaOvMudtbYYxp0ukVx7/DowD4QDug2oibr8FArl6aNe8DPeb9W3g84ccp0qh2jsgwT/BLxGVbs2/Nu706O/5CkS12Akmb91vj6N1J0Q//6Il9T4vOY9lP2x744RvPbJdBEHzJOXfLEbrxN0+mfBj+7PHvGyCUMAEmnq0+RTeegzTYDIAP5iWXBS/wM5gO18ffJ+Lu7+ns1dzo8nbgUi2ct982mA042+5wOBwOh6P34YS7w+FwOByOXkRbW5uIZGdnd72rhw615AEtSG9qaiooKBg2bNiUKVPmzJljX+1GnPcoyIR8FVhJEgqFeip13YrjrKysHhmteywRGQ8lADTAF/ATY4BDjPlAZAjkQw6UqnO/V+TankhVTkm7W6sYCW1PKVLmDyI/1+aoPmiHHfA1HGnM8JidI/OZJ/I9OByKIVNFdoGWjUf6eRZDFayGR+EJVe07NaZmJ+wN31Vf74OQZsKs1XicsKbKbIHNsA+Uevasg/UwFsqgAepgCGRBPmzyTPtb6AtVcAL44fcwVIVvJGcm0t20BCqhP4yAx+ALmAkmxrlHbq8972a4F65J+K7trxtfwgj4PLr9qde8R8z4PBGbw/5Ywg9V5KsVD4sMhhItqM9Q856l4xdDG/SBQTASHhTZCTtgoicNvNP5fyfB6T38KPrhCo98jyRTZcII/ftS/9JL/3733b633277wS7VL2pYulTwEfP+Fy2rt9dg25waT3p7GH7pOfBP8MOurqU1ZpUlAQ/rWc6D62Fn/D1thozRj+j90a/eDXiacFytGz+DZlXtEVykjMPhcDgcjl6FE+4Oh8PhcDh6Ea2trd0wyx3S0gMqm86+5prH7ryzrKxsyJAh06ZNe//99994441uzKpC/80UgKakj7J59EcfffTrr7/ejZN6CYfDPp/PNob9r/BrkTOhAtKgEdbAB/ffH4mq2N+YT0QGQR7kQpk6xDtEbu4J506K2j2y5zPPPJPMUQ+JHAaHqTQPQR1shLfgojjzF5HLRH4MJ2uYjEArVMFfYTSUa/Z6niezpQT6wAyYDNvhS2iBYVCpsTwCQdgJ2+FrdaxWtbeoVT8Q+mh71WbYDqvhWCiHrVAFxZAH9VALg6KnPVjja+phEPxUC94/g0oo0DwWmzMTWSoohz4wBJ6CtfDrzm61MWY+3GnMdzwZJl2WjdvGqiMB+Fi1eEaMeW/31LzPV/O+OOFHK/LGPSYyUMPrs3RRIVLOH9ALzNWztMADIjuhNgn5njwdAtxf9ch3uxJgjAkEAt/xxL4vh9WQCz9PuuAdzW0H/gxpMA6e8WTCAGfqxpMQhlpYHN1D9UXPdqRkfjYYuDyJCVwET+h2HtwUf0/7S3UzZMJdMa82wnTPw/tjdrBJMqdDyBW5OxwOh8Ph6GU44e5wOBwOh6MX0dTUBKRqlkOhUFpa2vjx461P93uaph57000v33xznz593n///bFjxx577LGvvfZaqrMq1EaIfk3EToZAICAi5eXlqZ4uFrui8F8U7qdCX8iCFtgAf4Sq6H6w+xqzSmQA5EIulKs3vEnkzp5w7t3TneFwmK4q3F8R+ZEqV6AFamAVnGjMfvGP8vl8l2o5fDr4oR6qPTushKEaDpMZHdhSDi/Cp3A2VGg5vBXoTbAN9gHAr5XCzVAH38L3oB8YaIedsBXGQBtUaCRLtgr0bTAMirVyPMJWqIYCyILtUKZZK+PBDyuhv7rpDt1NbWNVW2++FMZ4Gn5GImUSvNHJBLbc7tGmn3vMu61JL/CYd5vDPl9kO6yDRxN+wH6urz4l0k97t2Z2Zt6DEAC/J9amBe4VaYDt0fI98YUkw/ejH74Oxhi/3+/TC7eaez8Iwasxc/t5Eqc4RjfOjHnJqupz4xzY6FkM8IHAqbAA0Call3R16vPgKbgnTjJ7hAQpN0CuJ0CmAzZPpg5+Cr/tajIOh8PhcDgcex4n3B0Oh8PhcPQitm7dSurCPRgMZmZmRtR2u6fHaRoU3XHHl1dcccYZZ4RCoezs7DPOOOPZZ59Nafw8DdS2MSNJYvPoCwoKUjpXp4TDYRHpqYCaVPmbyD6QA37YCv+AI5cv/+abbzrsNsqYr0T6Qg7kQbkW6l4tcv8uOPdOzabtF1rS1bFnn332ihUrIjHuHdKEnhI5AA6GAm2OWg9r4Y9wV/wJzxf5LvwciiATwpqcvo/uYM+yTCQAX0I/KIQsT/F4PhRBBfwD3oMF4IedsAXGABDwBLjXwrcwFvpDCJqhXrunFsE2SIdiCEGTFuYfApUq67dGJ6qXanl7P8iGLVCmnS39cBK0wPMwCsq0sWqap7upbaxaCf1gGGyGrz3Cvat34/9uDp29rd4i5ZHRL32tty5PvXOkGn04LBCpgQ2wKOEcztFXnxWp1vx6e4FfQCVk6q0IeQR3u6eb690i9VADS4xZunRpOByeOHFip9eSKkcDP/whMAOAv3h6rmZEt0W1PVFfVPlup9cCzXBz0qdLXA8eK+hngR9Ef6wEt9ccT77H9s+dBVd4Hh2OVQgAACAASURBVN4HBjZrsEwHbG175D8Dl2uFfi0I1Hn6pp4PS1ykjMPhcDgcjl6GE+4Oh8PhcDh6EXPmzFmxYkWqZjkQCOTk5BQVFdmHrSrcfVrhO2vWLGPMggULqqqqsrKyLrrooocffjj58XPBBwFohy1JH+X3+0UkLy8vlUvpnP+icH9Z5CAogBBshw9gsjHLly/3huZHGG7MapE+qpUjlnCKyJzUnXs8j+mHHfBNcnXTJ574f2Eekd1uguPhaCj1NEfdDP+B0435bpyhrhD5EUyIzpDZDoN1Bzuf50VGwmFQCJkwH8ZCFeRDhpZX50A+lEA1PARvw/PQ4FHtTVALa+AoGKg5MDtgLYyDMtgKlVAGAQ2WWQPfhwEafFQHgyEb/J5LaFdtbamENsiHVpWbAj8FIAzvQLVm3WRoxnqOLhiUac7Mus4WM7rEpFItPizmmc8hAAFogzateV8gsh02wMMJJ3OGvvqcSBXMgyng15ruDE+BeVgFdyDabj8kshPqYRk8bUzkWmaKDIQiOC76jJ9GG/MAjE14vUd5tt/Unqs2mT3TM1TEv1v5/oSuDdSAv7MMlm5zRVc7LIKQzioMm3WRwM5hvu4WKVc3+mdOTEtV+5L9IlFWTI18MyyOfsbZdofD4XA4HL0QJ9wdDofD4XD0OtLTU/snilXb+fn59mFLdIV7ptq9yZMnz549u6SkZNSoUdOmTZsxY0aS42eBQAha4eukZ2UbwObk5KR0LZ0SCoX+K8L9SZGjtES6Hj6HidqMtFPhDvwOzoQqde6Vai0vEEkc/dGBeBK2FbbCp3C8Z7RUE97vhDsBCEMb7ICvYJwxe8c/5A8iF6s3j2TI2JiXyASeFdkHjoQiyNIep6fCt/Au7A1lmtaSrjXjNqqlH+yrqxqNGst+DAzUnJkaGAmFUAWboS9kQpsGy+wDJTAM2qERamAfyINGLWa3PANtakKD0K5+uVktf0i7udrmoodDE7wJg6FEM9DTtDA8MvkNWuE+SSQbnkx9ZSWZhZMOjOzsydehGYbBQjXvCxNOZpIxwFEwWyQSYZ+pUfId0l1CHvne7pHvM0V2arfYSOaMgSdEyrSTcBuke2x+NqyEcHLJ7OM8229Ex77jWRjwTi8DQjDT80wA9o/uwtqzXAhoKLyBRjCerP/YKnhr3i+Dm+GOXTv1xOiEeofD4XA4HI7egBPuDofD4XA4ehcdOqAmQ3t7u8/ny821KdwMVu9jY9y98TRTp0697777SkpKhgwZctNNN/3rX//63//938SDPyryEwCC0BKd45yY5uZmEcnOzk7pWjrFCvdUb8sucpfIRG2UuhNWw3Gea48XjH69MY+LHKMZHYUa0/F9OFPkmSTuXjzrOhEegw3wDpzV2TipanfAXsMcuCz+xBaKHBLdUrUetsD7cI6e9EmRfWG8qnaBNqiH9fAmnKAF72/BICiGbG3gaRPSi6AcnoAP4QQ4DgZBq4bVHAAlWrQ+ADKhEepgA+wHozVPph76QxYUQi1sh70A2KgXEilALoQWnWdY1wasZw8A0AqbYCP8E240BrhX5BCogHzI1pnbUv0Jl132xcqVwMWwA+aKfAMPditEKKWy91iOjnlmf5Fa2AALEs5nqufVBSLlepkZ0a1NY+V7JFS9TbutNujNj/yimCXSX7Pj7Zt+ALwKafBqTJh7YsZ7tl+Plu/eqvwm3Qh7Cs83w4M67UG6qJCmKe3ee2309+d63fb2Sr0ProkzvXPhaQCy4u9juVQ3rG2fGJ1ycwtshYUJD9+h0/ZBm2ua6nA4HA6Ho5fhhLvD4XA4HI7eRTgc9nZATYbW1tZILbmI/BlCgFa4dygLv+aaa2688cZBgwb1798/Ly/vvPPOe+KJJxIM3ldHsEkdydPQ0EDqefSdEgqFSL3wfxc5GaohUxulLvXkYCSocAd+ZszzIodBOWRAobq/CTBJJMGKRQLHalMjvoEVcF1CedqNcukpMKWzXBQReQNO0gwZtKXqF3ACGGPOhsUiY+BY1egC7dAAG+AtGAvnqoUHvgv58K5GtVhhbUue8zUe/Wt4Eu6G/lANFdAItSpJd8B2GAKF8D8QgB1QC8MhB5qhAfqA/a5Hh89/ALIhCKKpMhF9bK1rUKPkP4OfGTPS03jzWr0zf9TWozmenBl76wZAGVTDIHhMZB18lsoCVQd2Ub5bJuvGQpGJUA7zu5rPZM8Oj4qUQJ5Hvvuio1065Lq0a7h8s3ZbrYEGz014UuQl+B00qvJeCb6YCJpkiKwurIheGDgSngP0qwzGI9Aj/r1Rv3cS0g663hFE/4x8chbqgJO7MulnpX4hROvyewDodJXySkDXBuzftcaYwx0Oh8PhcDh6A064OxwOh8Ph6F3YCvdIIHsyNDU1AVlZWVbM+aMr3GNzWO666y5g0aJFVVVVOTk5V1111cyZM+MNXgLpYCCgfidJHnjggRUrVvSIcA8GgyKSwHH3OP8QGQU5Glv/N5gZHeGSeDITjXlJ5GAohQwoUjsZz7knMKpBOEO3xxgzJulLMMYsXrz4ggsuSPqIqGm8AJ9rhkyaZsishT/CEcuXz1i1aoHIgXACFGuku+19uhH+BfvCqVCipr4d6qEvAPvAMhgNFZAH6ZCn8r0ASqEP/Bau0nyYoZAGW6Fa0zNsUNJW2AqjIR/qYAcMBgOboBLS9J6X6hWlQaMW6WeqZ7cG1i4krIEfGjMQ4qXYAz8yBlgiMhxKIU/XEowxhdpYtQQqoT+MgAdEvoBHdqFrLj0k362WXSACTExuJeACzz5LRIq1Sj0i39MhHbJiAt8DnXVb3QaPG3OuDnibSJXewBfUdycTMtOBE6MfPgl+7bkqnur1SGy618KHtRd0i0ZmRUr7az2HR346NL4wMSNfGr1Dh9L1uz29fOfRCfcCcC1cDVcDUAcGdgKwQfslfOspybfjp9pCwOFwOBwOh2O34oS7w+FwOByO3kUwGExLSysuLk7+kK1bt4pIVpZVf7QlrHCPcOGFF86ePbuoqGj48OG33nrrhx9++MILL8TuVqDu0jrTVOkR4R4IBNiDFe4rRQ6AfG2U+u+YxJVwOBwvUibCyca8KjIGSiATirTANhCzZwKFGoJ23e5GrXQ4HF65cuXatWtPvfjiqhSPPRXaPBkym+E9ONeY78GKFStE5GT16bah7k5tuzoIvq9x7T7wQwNshAOhWStzJ0ITvAt76SCZqm5tNnoZPAefwrXg07Ns0+UfSyUUwlaw3tZ4WmuGtOY6G5p1/4CmwdjSZgMtsAM2wt/hJmP2S/rmnG8z6599tvTMM+2NNcZIdGPVYiiHvjAUFoishXt7wop24xsMneI9PBlde77uc4vIMCjU/reRwPd0XZmLVL4HoruttsIsERsHtAUi8UrXXXfduHHj6urqGs8886mYevMTUryucz3bExNWf//OXrvnJ9/zlzQrun4/4Cnwl+ggGvun/XXwsI6JboyPOYuBZrg2ejdLDQDTtAmH0UyqxXpd2wDI1fOm9JUjh8PhcDgcjj2GE+4Oh8PhcDh6F8FgMCMjo6CgIPlD5s6d660lb4Ggp8I9wT93pk6detttt/Xv39/Gy1x88cULF3aMDs7VQuB29UEp0SOdTq1w3zMV7s+IHKGNUutgFZweoyONMV0Kd+D7xvxVZB8ohiwo1vrWBSKTu8pbb4c0aIFNQHeTScLhsD1LKfihETbC6KQPj+RarIATjNkH7hUZC/vA4frBCEIDbIGPoBTGat16GgTV1P8HfgIhEP2ehO37ehr44T3oD4WQpcXFNti9GCrgOXgPfg0b4Ltalr4BilTQF8AWKNfGp0EohRbI1fD9yPsUhBzVwQ2wFT6D84wZHt2ZM3lEpGnp0vV1dQPAGFOnDjo9evGgFKpgIDwusgE+2oWcGS89Uvbe6eGJ/fttxgDLly//Zt26xsmT+0GBLplkqI+2zVGz1F93kO+tnm6rO6Ds1luBcDh8oee894nYRrXPewrqreY+PunrSpy18tPkBnkyJg4+BH4V8dbFr4JSCEHfX/963bp1hzz+uESL+A5kRT80cba9D7N1wA5V9mjelMPhcDgcDkfvwQl3h8PhcDgcvYtAIJCXlxfpgJo8l1xyid3YqQW8kUiZBNHht9xyC7Bw4cKysrKcnJzrr7/+n//8pzc+PlvrlNtgbYpTMsb0SFm63+9njwj3+0VOgTLwaaPUEzq7b8lUuFuONOZtkb2hELKhRJ3dbJHL4xxSpxHkO2EtLOuWn71I5GwwCxYAImKzzr+CcSpTU1K0JwIiwGotXU/TxHOrzjNgf6iEAi0wb4Bt8AmcCPto4EwjbIGP4XQYBrVQCGNhLhyu8TUZqq1tnXgJVMFz8DY8rK1QM6ABDGToklJY1Wc2tOh3MgKQod/2ADKgHrbDGviBMQPhkFRvazQiYowRjb9/FfYF23E0S2u0szQqpwQqoD8Mh1kiX8G8nosB6UH5TtLF76FQ6GrPq7NF7AcgW1cd0vQHyFZh7c2c+f/y/dZbWbEiHA5PEkE/7ddEn3eGSLFq/WXR/l26FQGfPOdGP/yNJ4smYuErYAuEwX/77ZWwVl990E4+ujvrZXBrnHPdGmd7CsyJc0iS6UAOh8PhcDgcexIn3B0Oh8PhcPQu/H6/z+ezHVCT56ST/i/9eDJ8AEadVFpMQWUsF1988YwZM0pKSvbaa6/i4uJf/OIXixcvBu4WuRDQgONFKZodY0yPVLi3tbWxR4T78dootRnWwVNwWGe7JS/cgf8x5j2RYeoiS9XTPQC/itm5EXIhCDvgSzjSmANSv4olIlOgL3wcDgM+n28dvAdnRcfQk7qcHQpAAGw/zFXQCvt4mqCGoQlq4EsYB8MBzXbfDB/AOTACdsAW2EdzXX4MG+EdGKlCP121dSRhph/MhmmwCapUx7dCCIq1pN0HjSCePBDxlBi/B2/BDcbsm/ot7ZSIcDfGGGMiuUMvi1RDkRbsZ0Y3hi2DPjAYFol8C3f1tC1NRr4n32YzXvG7iASDQe9LUz3nXSBSrt1WMz2B7+itCGtai5XvIhIKhU6EFrhXxK6LeIPvp0XfpVkihZ6y+pe0sj5SV/7IbmslerZuPAtotwyj6S4Gbog5ZFrMM7cmcaIu94kUtiduxexwOBwOh8Ox53HC3eFwOBwOR++ivb1dRLKzs7veVYnVaoHoSJlk4mmmTZt25ZVX7rffftXV1fn5+TfeeONbb711KWTqgM1dDNAJ4XC4Ryx5S0sLu1+4vy0yUhulboa/wMI4Gisl4Q4cbMwHIkMgH3KgTIXj3R499y1UQia0wzb4EH7YLYn2isjRUG4DPTRSZhYsSNiptUnL6pMhsoTyPvSFYv2QtEAtrIZDYQgA7bATNmnp9yiohy0wEoqhGXbAOjgQ+sAh4Ie3YJDa6ixPNksRlMNS+BDuAwNBaNdA9jStKbbxIwGPBvVm8ozrxg2Nj72BkQr3yPMTjAF+IzIUSrQlbIecGVu5PwCeEtkIn8JTu8GZdhr4/jc4orsDdvhVc/nlnX9PY7LnWh4RiXSX7dBtNTMS+H7CCaFHHx2omTO2i+kckUaoh63wRPTNuSL64WyRAk8ngDT4OfxC/XukqWnYkwkTim5H3A0ix/4WToeZcNUujJYkF0CD56HERNA4HA6Hw+Fw9AaccHc4HA6Hw9G7aGlp8XZA7ZJY226M+aeIFTHWbSUZT/Pggw8Cc+fOLSwsHDp0aHFx8asjRpy0aBEavZ0qPRUpU19fD6TkuFPlFZH9IR+CUAP/jpF6XrqxkLC/MZ+IDII8yFXnHoRb4XAYCSWQAc3aw/OC1PXrTJGj4AAohDTbOzcUAkSkg23v8JkJQBq0Qj30SeWMB+lGC9TBt/BHmA4G2qABNsFoqPCEzAyHAmiEWlgDh0IaZGsV/BYYB2F4H/pAgWbL2D9tsHslLIJ/wHwV/caTKmNj4oNQC2vhOGP6w3Op3srkEJFwOGxvpl3b8HK23vPXRCr0+w3WuWdqzozNqe8He8EckdXw4O4pVe7ZzJlOh4oXPvNLz/NLRIohV+V7pNtqBoy+4IKwvonB6G6rLZ5uqxvBxISoTI1+OE8kX+9zJNlGdCNDF2PC8KKeMQQb1chfneJNOB3YZdt+LxjYqik0Xq4APGK9PbpZa8uundfhcDgcDodjd+CEu8PhcDgcjt5FQ0MDEOmA2j38KmisZkopnuayyy67+uqrR40aVVVVlZ+fP/2mm959993Fr7zS0PWhHQmFQj1Slm67wvp8vvHjx3vz5XuK34kcBkVgYAd8Bmcm9J6pVrhHvOQq6A+5kKfKLwSvw1gAtsMGeBYeSN26LhP5IVRCLoShATZ4KtxjZ/J/1wJBqINN8K5q08dFzk/l7Lk61PegDephA+wPVRCCnVADX8Bx0ADbYaiqZ5trvwU2wUFQAraR5sHwNOyvLVjTtU48FwqgFPrAQrhMpWpAq32bNVb+bGNGpHoTU8eb4R5vn2ONAV4Q6Q9FniCUSHvYIiiFahgMi0XWw2e7M5jbO9UEvQRSJZnOq+frk7eKDNW7Yb/H8NH8+Qdfcon175FqdK98b4M22Bu2wA0itvNqIwRj7tWlnoc3ifTVeKKIf7dx6pH/DzSwGI7T8y7QoBhvSnsYru2hG9WBmTqHaXBtwrMYqPP8Mre3OwxP7Z6JORwOh8PhcHQbJ9wdDofD4XD0Lm6//faVK1cmKdw7LW8H/GALbq3ASiGeBoD7778fmD17dnFx8ZAhQ4qLi6cPGzZ8/vwUh0lZTCfAGOPz+VJK2kmSWSIna6PUBvgGTurKdYZCoeTLhL17joIvoZ+a1gq1ijfBr+BLOMqYgxKM1RnXiJwC39MaeT/UwhdwjDGvPvAA0cknUVehhroGPoMJxuwLN4icCMdAE2RrY9IkibzTfqiGMDTCdvgKxkMppEMhZMEWqIIC2ACV0AfKoQ5qYBikw2Y4HVrgLdgLSjUPPT062P2P8An8GkKwA9bDCri3W8H33aBD09TEO59qDPCIyN5QphEraWqc7RWVQiX0hxHwgMjn8OhuzuaeasxUAB4U2QuK4ageGjnerybLrd6y9yVL+vTpE/r663pPs1lvNXok8D0Ifm3YG/A0X71RxBbCN0F7tH+/M/oG3iFSEZ1vY/37iR2mqn8aTzn8fE+v1HVXXdV35syQ6viQlskHY+bWDqc8/fSys84CnoeJ8DxcB5l66lbwwb/h+iTuapZ6dmDLbsupdzgcDofD4dhFnHB3OBwOh8PR60gyiSVWaY0bN85utKlwl+SapnbK1KlTL7300gMPPLC6urqwsHDbnXeeeeaZzzzzTPIjhEKhHomUsfh8vvz85JPGk+VYqNY4l3UwN4mE6ySFe6f7jIBvoA9kQb6nivZOmJe6XX1K5GfQF/JANLL8HfiZMUA4HLZGuNPC9naogzUw1hgbuf6CyHlQBXngg3aohdfh6BRnFVksehWOgALIgGItfl8Pe4NPG4oCNbAVRkE6rIc+ukRk4GhohM/BlodnqZPN1oSZCngK3oNFxuzV0yntiUlJuFsi+SorRKrBJo+nRzdWtWn1fWAoLBBZA/ft/paYV+op7hMZASWQqxk4No9l+C6fIp6Ct1+CCQaD3zdmtkgl5Hu6rUbke6b+ZWmOiWL3Om4/3Kz+vRlaov37zdF38h6RUmjxmHefp/lqh6VCr4UfOXOmiS6EN55a+FD0z0dnnVUEYTgfwnAOrPe4+whf68ZE/Y3UAt/Cz+Eu+EBfPaCzvqwOh8PhcDgcvQon3B0Oh8PhcPQ6jDEZGV0UFicWvm2eCvduC3fg1/PnV8Kchx4qLS0dOHBgSUmJbaaaZK5LMBjMzMzskRwYWyyfm5tkHH2yvCOyN2RDG2yC1+F3ScjNYDAoIscdd9wrr7wSb594b5Ax5gGRiVAFmVCgqi4IPxd5LBW1+meRcVAGWRoLsxrGGjNKd4hkuHc40K9x2O9oWPxckUNhLBRBpo62Af4Kl0MNFEIGhFP81/P3daNFc2YOhmpoh61QqAX+xZAOq2GAJmYYCEAbAFmwPzwKR0IV5Gu2jE1Cz4cSqIYHRd7enUksscRrmpoMJxoD/E5koNrtSM5MlubMlEEVDITHRTbAR3vk6q7WU9wtMgoi/U5XqXk3nrCX/XftXJFP5vLly+3fKe9tXCBSFp0GEwl8J7r2PBL8Eikz9/r3X4u0QSs0Q1P0PbxOtx977LG+fft+8sknv/rVr27UCPiI7rcWfvNtt/W/5ZYOIj62Fr6DiA97jLz31diNyG7LIQyteoqJHtsO/EfL5P9vDnvwM+9wOBwOh8ORDE64OxwOh8Ph6HWEw+FuFIaPGzfuwAMPtNtNngp3n6fiOCUeEzkVgPMuv/wj+HzRoqKiotzc3PLy8qlTp86ePbvLEQKBgM/nKykp6db5o9gdkTKviYyBPAhADbwHv0pOXVk5WFhY2OmrCVQ7sETkZHgTjoEKyIACdW3HwU9FkjH+c0UOhzFQqKkUW+FD+HF0b8zbb7+9w3yC0AI2JfxkY/bT+2BDdXI1ZGYbfAo/gi1wIWTp87XwZzhMO14mj3edZDNshP2hFYKQDc3q0K129EM+NOlCkbWoPwOBP8NInWq62lgb7F4GfeE2kVv2oH+0Fe7GmO5Jz58aA8wUsWn1+Z76/Uhj1RJtrDoMZol8A3P2yAXeoGe5UeQgNe/Z+tZbCf45hGCTZ2Wle5x00knTp08nfhX8IyIlkAcN0aXoPv0cdvDvYU/9eyjav98i0g42An6ntmC1v2/9fj9wl174lClTysvLc3JygLq6utxbbqnVIBqfLj94K+I7ztzzkxdHzXd4xuvlaz07dPgzEOPcHQ6Hw+FwOHoVTrg7HA6Hw+HodYTD4bS0tASF4fHCZCIF4MOiI2W6J9z7aDFpEJrgl7/85S233DJ06NDKysqCgoLp06evWrXqySefTDBCIBBIIKZTwprNrKxuF+t3ZKnI/2iRdR18Cuck7TGtcI8tt0/wtQOjFc1HQBWcDi/CWCiHDO3XGoIfwCSRxIXML4qcBBWQA2Goh3WwAm7UoyLT8Fa42wyZbbAaDjNmKADPiIyGA6AA0rXyfQ0cBkCzRru0Qh2shQOgPxhogq+hX4r9eC19dCMARbAWqsFAFTRDEfigEUQr921DVD/4YS94H/rBICj2BI/YqvBCqIAlIh/CrN1vpb2RMrY/bfe4Sqf6J5G+2ko0w5Mzk+fJmamCBSK1sBEW7BHzfpfnLL8XKdXIlwzwwRdQAX9VzW3Th/4EP0zxLNdf33mGeezfqRugytNt1dsHNda/G0/9eyR/Jujx7/7oFqyTbrzxOWN++ctf9unTp3///j6fr62tbePGjQsXLmT69Njp2XL4TF2H8EXn0tha+JY5czKnTIncxA4bJkap25+26Oe9O9R7JjCx61vrcDgcDofDsadxwt3hcDgcDkevwwr30tLSTl+NZ3Wvueaaf//733bbDyG7s/Ye7AYlkA4G/LATgNtuuw2YNWtWeXn5gAEDSktLb7311g8++GDZsmWdjuD3+3sqeN1GyiTZS7ZL5omcCKXgg3r4Ck5OxV3ahYQO5faJC9uBP4l8Tw17C4yE/4CtHbbOPayxGPGYJDINDoFiyIB22A6fw3HGHNjZHAKBgH3SDztgE7wNFxoD3CUyHo6CEsiCMDTAZvgX/AyAoMa4N8B6eAOuBB+0aXaNlfItGsv+veRvnxL5WNbpVdtnQpCtVtTeuzYNwBnwwgsF0GDMR9D3xz/uCwVaDB7JQC+GKpgr8g8YO3u23+9/6aWX7In222+/5ubmhoaGpUuXpj7fTrBfvKCHYj1+aAzwhMheWlGe6WmsalcU0rXgfQjMF9kO6+GRPVXU/xNjgAULFlRccolt/VoAQU/S+t/Ucf8Zjtk9c7g75pkZnfVBjZSfE+PfE0TA2xasQ+++Oz09PRAIbNu2bcaMGQkmc1ecO3+HiF2T+OO4ccdMmWKnEfmz098UJno7O/pJ76t+eAKAcz3JMw6Hw+FwOBy9ByfcHQ6Hw+Fw9DqCwWBGRkZxcXGS+xtjxo8ff999902YMME+49d0AtHulN0gH9I04sNbU3nFFVcAixYtKioqys/Pr6ysvPHGG99+++3XX3+9wwhtbW0iYjMZdhG7CNFTwn0cVEIGNMG3cFSKvtLv93vL7bssbAf+V+QAKIV0aIL18DLcaMxrIqOhBDKhWFXgIyK/jJnSJBFgpMZTNMJGeMvThzN2Gla4A+vgM/iBZsi8JDIJKrXVahtshy/hOEBVewDqYBO8C+fCgfrMBhgDfdXFb4DRkA0hEGjvVs17JHKoAUJaOp0OAWiEdfAiHPnii0N0N3ul21966YuTT7ZhLHmQodbVJrGUQl/4curUQ994IyLcTz31VBv/8tprr4XD4VAoFAqFgsFgIBAIBAJ+v9/v97e1tTU3N+/cubO2tnbNmjWvvvpqvGl7M8d7MEf7PB3qFZFKKNDmpVlwFdwC+eCHUmiFfjAU5orUwDpYskfMe3p6etaf/nTHgw++/vrrs0XKon23L0a+W7V93G6bz7TOnlzsabsaKTwnTgRNxwj4G27YdP31xdOnl8DNM2faFqw7dBUzmSR92531ySefvKai4sPjj+97/fXnwUNQAMPhX2CgRm+XN5oGENgJGSrZ749ziougrbvfXnI4HA6Hw+HYrTjh7nA4HA6Ho9cRDAazsrI6LQyPl3H8xhtvjB8/PuKj2yC0y8I9F3wQ0iiSDlx44YXXXXfdqFGjysrKCgoKqqurr7nmmvvuu8+7T0tLC9AjwevhcFhEuuwlmwz/EhnuaZT6Khyc4gjt7e2AvdtdFrYDb4rsByWq0tbCEphvDHCsMX8V2QeKIQtKNFtmvsglnhEm6VnyVXx/DUcY8x1IMAe/328zTy4YN87GEz0icjB8F4ogAwJawP4q2EQPqx13whb4EE6BfSEMO2ErkER/fAAAIABJREFUfASngR8aYCOMhlxYD0P0yU2aZdQ9816kG3WwHVbDccYMgiPiHWAMsFxkGJRonXuBBrsXQhmsHz/+UPjnuHHAO++8k5OTk52dnZWVlZWVlZmZmZGRkZmZmZOTk5aW5vP5RCRyM40x4XD4lVdesUbe7/e3t7e3trY2NTXV19fX1NQcf/zxkUiZ3dG48jhjgN+L9IdiyIVbVWdHGsZa814J/WAvmC1SA2vhqd1p3tPT040xdoFtqudEc0RsvH6W1uZH5DvwF893OGxR+Sm7b4rwi/gvPZ9EBHzx9OmxEfDbIAhTRCKX4Pd8JSVWxNsb1d7engVPw1k9d3VXQhB29NyADofD4XA4HD2IE+4Oh8PhcDh6HTaxJDYivEsiwr1FNZCNlOnev3iywQd+aIU1ne1wzz33AHfdddfAgQMrKyuLiopmzZq1Zs2ahx56yO7Q0NDQU8HroVCoR4T7/4rsp41St8G7cH3qatIuJGRmZiZj298SGaUp7fXwDRxmzCGenY805m2RvaEQsqFES24fErncmEUih3pPDVvgPzDJGBIW1++A69vaIvtcLnIqHA9lkK057BGHbrEV5dtgFYyHEQC0wnb4Co6BIVALm2BfyIfN0A8yYTtsgtFQAe1QDxshqH1Wh6Z6fz0178m8NycZA/xdpL/ew+zo9PNK+ObNN6vhujhNEWK56aabKioqCgoKcnNzs7OzMzIyvFIeMMY0NjZGmqaGw+GHH364oaGhpqbmm2+++cMf/pD6RXfO/09xEemn2j1Ts8vTPT1j/dAGrdAf9oJZIjav/7e7wbynpaV1usAwxfPkPG1zmuXJN7e/iDJUbb+mOju4bNmrr7566Lx55/T4XDsjNvd8qZbAR/w7+iUhbwR8KOahN5rmEpEFnZ3uuuuuO71HJ78fvD5uHFDx5pvJlNs7HA6Hw+Fw7GGccHc4HA6Hw9HraG9v9/l8ySSxdNBeER+9M7rCPT2JVpwduE/ElogGoRUei3/sjTfeCMyYMaO6urq6urq4uPiBBx5Ys2bNvHnz7r///hUrVvRIDowV7unpu/SPtydFDocCaIOd8DH8rFu6qrGxMZ79974j14hMghGQr91Nv4DxnZ3xf4x5T2SY5oeUqtF7QOQ0KPfs+QX8Ae5OaNttrvpnsHDhwhUrVtipXgzVGhPUDjtgNRzpvSjYAF/BIXACpGmU0Do4BPrADtgM+0AB2OjwfWE7bIZBMNqj2sdALqyD/lAEAWjWIPJU8dabJ97zcGNmiIyHKsiHDMiFDE2YmQrbYZ7IKpibxJt+5513Jnj1iiuuGDRoUElJSV5enp2YMWbEiBFWvodCoZUrV/r9/tbW1kg6zbfffpu4w3BiJuuc54kMhGK9n2lq3jP1Sv1QBq0wAIbDTJGtsCa5IJQkiSfcvVzq2WG+SIlWvnvle7qGle8wpq2trQJe0rLxdl0/uLynJp2Q02Ke+X10BDwQ1jQn43HxkZ8b4w9uFyZ3kYnwnH6dwtp2oAeaYzgcDofD4XDsBpxwdzgcDofD0euw0eexheEJypktEQV8sTEfiBgt20xPPep3Lw2isXXKXTJt2jRgzpw5ZWVlgwYNqqiomDlz5urVqydMmNCDwn1XKtyvFznb0yh1FfyoWwrSvgvz58+PfclrIe8TOQsGQJ6GP3wKJ8Q/48HGfCAyBPIhx+Pcn4Fro3c7OEGGjObkfASf3333RwsWDB48WEQyMzMHQxaE1Im/DRd5DlwP/4GRcCRk6G6b4T04E+pgK9ga/HrYAnuBD76EIVAEWbC1M9Vu13vCEAAfNEMdCPRL7ZZD9CXHs73TNINlFJSpcLcfftGEmb4wV2QVzNsFAT1r1izgxRdf3L59e15eHhAOh8ePHw/cfffdVVVVhYWFOTk5JSUlFRUVtquqtfBtbW2R738AbyRdcR8hIrIfFrE3OUfzWzIgQ2veA2req2EAjIAHRLbAup4w72lpaeFwOPn9veFIC0SKY+S7MaalpSVX85RCniCX33rkezPshDqog+d38Rq64ifRD38P2yAdLtnN5+2Atxj/OhHgeRinzyyBx/bsfBwOh8PhcDiSwQl3h8PhcDgcvY7m5magyySWWO24ZMmSc889124HtDDTCveCFOdQrsLdxowkyZQpU4BFixYVFxcPGDCgvLz8888/X7Om00Ca1AgGg0BaWlq3R/gRVEEGtMBGWALHpj5IMhkywEKRk6Ev5EAAamweeleic39jPhEZBHmQC2Xq3O/QHSIlrrG0g/EEsn/npZfGiPgmTAi//LJdqMiEFqiBVTAh+th3ADhIK9CbdbfjoB+shuFQCE36/KHaobRMU01CUN6Zarfa1Oa5C4Q1drwGmqAMdsDgxDelMxKXvdsMlj+LDIZiyIYtGqSTD0VQDn1hjshnsGDX7LNtLeCdyQ033BC72/XXXz9o0KDS0lJr5yNYRw+cfvrpNTU1q1evfuyxZA3qRXrGxSJ9oUDNe7qa92zIhSAUq7AeCHvDvSJbYOMumHefz5eScPcy2XPSh0WKoOCll8JtbU1NTSFP5TuedqaRwPR2j3wfDY2wAxpiLqTLhclu8JOud+kxTtcK+g6shnlw6R6cicPhcDgcDkf3cMLd4XA4HA5Hr6Ours5WJe/KIAEIg4BAOuR1fUQUhZAGYW2GmRIXXngh8PDDDxcXF/fv37+srKxDtns3CAaDuxIps1JktOrvbfA2PJ26bUzStv9G5GiohizwwxZ4D85I7nRz4QroD7maX2GbTLbD9Pi23Q9+2AFfQs2zz5Y2NX300UcTbrihL7wLQHp6+nb4Fl6ASLyFTWPPgQptkGujZtbAEVAP7VAAhdAGtbAa9oWTIAC1sAHGqOgPwhYY0FlVu21EYLTm2r6UBUF4G47z3LtueNIE5v0YY4B3RGbATDAqo7M02L0c+sFskU/h4e5+18Gb4Z5gz+nTp0e2J0yYgEe1W4YPHz5ixIhDDz10xYoVra2tjY2NO3bs2LRp03vvvddlFfwvdPKPi1SreY+U9mfoJQegRBcbBsFOmC6yGWanfu27Ity92DWD5cuXh8Ph7Bdf3Ko5OenRsTOZniz1oFa+29iZVmiFO0R2wg5ohOeM6XQZZurUqZWVlTfffPOuT7t7zPG0ZjWwNSadptOkmvroQd78r0zd4XA4HA6HI0WccHc4HA6Hw9HruOeee1asWLGLDUL9ngr3NOg6Dz6aPHWj7VDbrQlcdNFFwMKFC0tKSvr162e1+7fffvvggw92Y7RAIEB3K9wj0e1hjXa5vIdse6za+73IWKiEDE13+QdckNzplohcBlXajNT2/CzXhI2rOptAGwg0w2b4F5xrzE0ix8MJUKoV63ah4nU4U4+yvUw/gDFQAOkQhHrYAP+Ay6BePwB2uWUdjIH+EIQG2AwjoRBqYSOMhHpV7aJV7W2eqnYrSQUMtEAjfAmnGjMszs3sQfP+PWMOFFkDFZAPmZpkkh2t3R8S+QQeSf1TETldl5nmHYjV6JMnTx49enR5eXleXl5RUdHAgQPHjBlz7LHHLlu2rLGxsba2dt26dTNnzkwwZqQhwVMildoPwKbNpHlq3q15b4U+MBgWitill+Qzdnw+n/3Gya5z0UUXnXLKKeFw2Ful/ohIYUL5HvJUvvs98r0FbhfZCduhRSvfr7rqqvLy8qFDh6alpc2YMaO+vv7222/3ziGy+BH7puxisfxD+pdCNA7esl0bFxNt4U20hbdLWV7/HrIhM2++CdRokrvD4XA4HA5Hb8MJd4fD4XA4HL2UDsI9SfUzYcKEl19+GfCDrUG1wj07xbPngE/N6cYUj/XSr1+/HTt2tLS0lJaW9uvXr7Kyct68eRs3bnz77bdTCrC2wr0bFe7Xipyr0e0NsBompehG49352IL9l0UOhnJIhxbYAK/Blcmd7hWRo6FcrehG6ANZUOCpc2+FhZ5D/BCCOlgLhxozCpaJnAuVkA9iy8+NscLd2vZ2aILV8E84C7IgDI2wFT7W1pHtkK4x7pvgPThXd6uBoZCvSe7WmKdBlmpQm/thq9qtH7Q230AbNMHH8FNjvpPwVvSIeY+Mc50xwAyR70EF5EVr93yPdp8l8jEsTuXjYfRrB7te8b1gwYIOz9x77739+vUrKiqqrq7u16/ffvvtt3LlypaWlp07d27fvt32Je50qHP0Ep4RsSsN2RqYnqXtVfP0zWqFvjAE5ovYLy50We/fUxXuQGFhITF375eeCTyq8j3TI99tZo6Jjp0JeGJnWmELXCPSBnvNmuXz+fx+f01NzV133ZXS9FJdR/Fy/vnnD580qb6+/owzzrhNJDL/phj//v/PFf2n/cnrrOy9CYCKN99Ev2bR7Uk6HA6Hw+Fw7A6ccHc4HA6Hw9EbCYfDieVyPMnS0tJiN9rU3YiKtpTIAlHJO2MXhI4xJj09ffLkycD48eMvueSSPn36lJWVDR48+Lbbbvv444+XLl2azDjt7e10q8L9VE90+wb4TYrR7fEK25cvX94hm/7PIvtDiTo1m99yRxK37kGRo+AAKII0aINt8Ef4MVRBZoxzfwJaIB3aoAY+gR8aM0/kUPgfKIJMCMJO2KCnSEtLsykcW+Er+C6MAqAVauFrOAa2QitkqtHbBp/CD2CU7vYNHAGNsA0GgcA30A/WQYnGxURUe1ANry3RrYVPYJIx+6Ry83fFvNOZfJ8l8v/YO+8wK6q7j3/OLdvu9s7usktHqg1jIVGwoVgQBTRGg6hRQMEWRbAhFpoNQUANAqJGBd7Y0cRE8qbpm1hiQakLy1K29739nvePk3Of2crdglmT83l4fObenTNzZubuFT7zm+/vJEhvod1VtXsG5MGTQnwJayO4cNZImaMhPefMsbbL5fHHH8/JyUlMTMzLy1P17++88059fX1FRcX+/fsXLVrUcgtX6lm9KkQ6xFtalSrzHmMx7xmQC31hhRDlsL/tew9CiO4S7nFxce1vzfp0yBohElrId7tFvlsr34W28J5bb1Ul8D6Y9eijDVpYh2vqzzzzzD/84Q/dcjhWMjMz0c0nHpASeFWIINwBwGsQgC8gSre2blkLX6cL4a017+FHRoLdPmODwWAwGAyGbsIId4PBYDAYDD0R5am7sgW3rnDvhHBfJ8QlAASgsSuTgGAwGLbkqqT96aefzsrKSk9PT0lJ6d2796JFi3bs2HHEXpFutxuw2Wwd2rs1ur0MPoZ1HRGj7cTISCmt9v9PQgzTsSo1UKjCTI60/YkTJ44cOfJqyIJYS9fTDyG0ZMkf77rrTMgAp87DCcI4aASb9ulb4ROIE+ICSNfBQQ1QCl/DJfC2rnCvhYPwMUwFO/ihGorgA5gNOyANsCj4M6Af+KAKimAUpMIByIVM2AfZEKcL292QoANkgjr9I6CT5b+GyR1U7a2e87auSCRYM2dWCHE8KAHtbK3aPQ+eEOKfsP5In5awKe4uAd0Od9xxh/XlihUrsrOzk5OTMzIyBg8evGXLlsbGxqqqqkOHDn311Vevv/66deUr9IG8LkSaNu8OnTajat5VP9tUyIQ86A9PC6Gi/5udByFEMNg9vle1ho5wa+G0+nuE6G/JzLHK93BteJ1FwVs7r4bz338phBsaoBHufPfdpUuXdssRhYmPjxdCWLN3QroT9WZwwsWwCVLBAbVwPFTBcBUaA33A+mUXrnxv1L1wAzAZNnbvpA0Gg8FgMBi6AyPcDQaDwWAw9ESCwaDD4Rg7dmyHcles9GkaKdOhBqzZWgz5dTVopwmFQs3K0mfPng0sWrQoPz8/OTk5MTExJyfniSeeKCwsXL58eVvbqa+vp4MV7uuF+IlW1VXwDcyO2LYfsT9qWLj/XIibYDAkgoRq2Ak/aXtHkydPHj58eGZmZmJi4lVXXWW32/PACT6ogO1wlpTHCcFddwGb4FRIByck6kCJi+BqmAljpNwmxD3QCxLArv14IYwGwA0fghDCbrf/E06DoRDUOeyfwiTdoLU/+KAa9sEJ0Bv8UAsHYAQkQwnshZFwADK1ag+BB1LVCQG/7tUZBKml/yQph0R40iOgG837M3CcrnZ3anXbTLs/LsQXsKHtq9mNkTId5eabbw4vL1y4sKCgICkpqU+fPn379j3ppJP+53/+p6qq6sCBA5988onKmFKE85Q2C5ECLkvNezvm/SkhyqAQXpESsNls3SXcVWvojp69RyxXZIEQvSHeUvlu07EzNE1FD1ryZ5r59z9fcMHxMEOIBvBYit+7QlxcHLrCXXGllC8J8Rq4YSesh89gBMRAuX6UJMxewOLTPwBVhB+rD+GrMWOyt241eTIGg8FgMBh6IEa4GwwGg8Fg6IkEg0GbzaZCCeiUXgxnDgiduhA5KbpWVFnXrmCtcLdy9913A3PmzBk2bJjL5XK5XDk5OatXrz548OAXX3zx1ltvNVt/6dKlW7ZsibzC/U4hpjaNbp/cfbYdLdznC3ErFEC8jlP/Fs5ubUf33ntvr169EhMTr7jiCrvdHgwGPR7PqZMmJUEQvHAQPoFpgGXvk+AdOBFSIQqSdEW5D1ZCtBBnQApEa41+EP4O06BGl8xLbUjPAAkNUA7fwdmQA/tgkG6FegD+D67TDVRLYBAkQDkU6wgaB8Roa+mFZAACWtE6de5/CWyDS6U8JsIz3nGs16Jz8v0mAFbDiKbaPVztnqxDZh4T4nN4ubXLGn7c4d/rPefOnRte/uUvfzl8+PDU1NT8/PyCgoKTTjpp06ZNlZWV+/fv//Of/xy+gXeZlMDDQgyFsHl36D/REAcJ4AMPZEFvGABPCFEKe+Cc557rlpkr4d5pfX/ZZZcNnDOnLDW1PjZW/VolzJ4dD/W67F3oOvFw8ow1Dz1c/B7U8l3597lCeMAN9eDrrH9Xxfuq+UQY9VVYDdGQBKfAxfAU3ArboKHFRlQN+0JwwmXggw/079qIrVtbrm8wGAwGg8HQEzDC3WAwGAwGQ08kGAxGRUWpjoIticTu+XTsr+h4hXs82CEEXqjqyMCWBAKBZt1frSxevFgtjB07dtasWb169UpPT+/Xr9/SpUt37969evXqZuvb7fYIq/4v03X6bjgAv4azIptwOzEyzd6x2WyX6QrxAJTD13CBZc1bbrmloKAgJSUlLi7u+OOPD4VCbrf74MGD27dvv+aZZ/IhHkI62uU0KYe2tusL4XcwUov1JPDDUAjBMIgDAW4oh+0wDgA3OHScC7rC3auL30+GLCiFXTBad0xV+TPDoB7K4Ds4B6rhEAwAaemMGgIfJAFa/at+vGqPh2AbTDyaqr0lXSl7nw7AczAc0ppq91iLdu8NS4X4DH7dVPSHQqF/V4V7Wzz22GPh5Xnz5g0ZMiQlJaVv3779+vU79dRTX3vttdLS0p07dz799NPAvfpwHheiPyTrdHureY/V5j0NsiEfBkHlDTfcecMN+7pcDK6Cszoh3G+88cacnJzRo0dHR0cLIXw+X0VFxfz585k1K7zOIiGsDWPtOiFd/QtQzTvUtP490LQFq/LvdwvhgUaoh0DEh9yqcK/Rlfg3wyKIhd/CufAFDIW3oBhu04Xtk/WodMiABPDAQ033sqajJ85gMBgMBoPh6GOEu8FgMBgMhp6I3++PiYmJj4/v9BZ8lgp3Wwcr3OPApquYSzs9AwD8fr/L5brooovefvvtdlazxrunpKQkJSXl5uY+88wzBw4c+Pvf//673/0O7bhdLtcRd2qNbi+Fj+FXkfXAbPX9Vm9vSClPmTatF8TovXwGk6ScMmXKyJEjMzMzExISTj/9dMDr9VZWVhYWFi5ZsgRYIcQNkKs1fQVsg/E6maQZByEZHPA3GArJ4IQUrQhf0cXsRfBbuMdS2B5ObM+UErDb7TtgGKTrHw2BJDgAO2EkXAIeqIA9MBrSYC8UQDbsgN5QCKnghwSoACAe3JCmg2VK4Vu4RMrBRzzRR41Ol73foBf+BmkQ10a1e29YIsQ/LMo1XOHec4S7lUcffTS8vGDBggEDBiQlJaWmpg4aNOiNN95QmTMff/zxO++8c4c+ouVCFEASxGnz7tRJ93FaQIfN+2BYIsRhKO6see+ocJ84ceKgQYPS0tJGjhzpdDqllPX19aWlpeFbd1bubjqlxULEN43QEbpbKU3DZ5rVv1v9uxfu0v5dPf3T1oGr6fl8Puub06V8SYh4eAVqIRNKAF3bXgr+1mLZE3Rp/Pd5H8tgMBgMBoOh0xjhbjAYDAaDoSfi9/ttNptKAb7++usjGfLRRx+NHTs2/NKjo7SVVOrQX3piwAY+nTXcFdSBJCcnR7KyinefO3fukCFDEhISXC5XZmbmgAEDFi1atGfPngkTJkQi3NcJcbolun0bzOpu2/6qEKMgC6LBA4fhEyhZunTt2rWXXnqp3W4PhUINDQ2FhYXz5s2zDtwgxFmQDTHggzL4QtWxtrb3SlCHWgcrAHgGEiFaO3cJayATJsNhuN1S2L4TzoBj4D0QQthstmHghQrYAaOhFPbCMCiARCiFIjgRUqAY8iADCiEHXBCCXKiAsDuMgWrIA7dW7RP+raq9JZ0rez8VaKHdo1po98VCfArXvPtuD6xwb4v7778/vLxixYqcnJycnJy8vLzjjz/+tddeKysr2759+/Lly8O/LKuE6A2J2rzbtXmPARf4IRk80AsK4BhYJMQhONRB866EuzXovC1mzpyZnZ09ZsyY6Ohom80WCASqq6uLiopWrFgR4b7mNJ3YEiFcrfn3cGqV1b83a74a0PceSuBGIbzg1Tc4w4fvcDiklF6vt9k0hK6Ud8A2uBeAGgCuhx0tpj0ZUrVwNxgMBoPBYPhBYIS7wWAwGAyGnojX6xVCxMTEAGvWdCY2oBECOjahQxXuTwgxFYAAuOGlrkVG+Hw+IUSHSvUXLlyoFlatWpWenp6WlpaWltanTx/VoDI2NradsXcIMa1pdPukztr2tnJ73hTiFN3ItBEOwh8h7bXX8sHr9ZaWln7xxRcvvPBCy4H/I8SpkAFRWtN/DNe2MaU6iIYAVMFuGAFfwW4YAAkQY6lz/2drhe3X6op1qSvcq6EYhkIc7IBBUKC3swPSYTgchkI4FoogC2K1anSDH2IgoPPiGyEN9sF3cLGUg454iv99dKLs/VS9sKOpdg+HzGRCb/jyggs+g75vvMEPQbhbCTdcnTNnzogRI1JSUpKTk/v377958+by8vI9e/YsXrx4hj5vzwuRA4k6C8WuW+NGa/OeAumQAwVQC48KcRBWRPa9YbfbpZTtVLhPmTKlf//+qampw4YNUzXjHo+noqJiwYIFXTwJd+kZrlixol+/ft9ccIGK01H+3Wb5o7AWv4ebr7ZMoblRCB94IQBT33nH4/E0228xZOlHiHIAmA2H4Vm4EbywHGY1HXJuG4cwuY33DQaDwWAwGP69GOFuMBgMBoOhJ+J2u8PCvRkRtmes1RXuNrCDA6YIEUnxaV8d+B5orYlfR/F4PEIIVarfUWbMmAE89NBD/fv3d7lcoVDIZrOdffbZTz/99P79+//xj3+0DHOfDNkQBY1wAF4/UnR7hwrbgQ+EOAHSwA4NsB/eh8wXXigsLJwzZ047O3pfCNX71AENcAB+D3e0tmYJJIId3FACX0AjfAXAE3An9IMEiIVULQFfgBsshe0DoRyKYKTO4bHZbJ/AaCiEfmCHPZALhZABg6AGtsEQKGjaGdUDKYCOa3eAB3wg4U9wUc9W7S3pqHy3Hl2JRbsnaO2eD0KIHhspc0SsSSyrVq3Kzs7u06dPQUHBG2+8sWzZMuCjjz76hT5pLwjRS3/2nLorqbobEafNuxt6QR9YJUQ57IPadmveVUfllhXuY8eOPe644zIzM08//XSn0ymECAQCVVVVhYWFLVs7dJGoqCgp5bZrrlm7dm34zceEiNONZMP+3a4rzcP5Mw0tSuCtVfDvX3ih87bbpgmh/DvwupRzpFwvhLqdmQnvQwjGw5cAuOHyFsLdYDAYDAaD4YeFEe4Gg8FgMBh6InV1dUBUVId6nTZhupSfCaFEl9AtECMhTa/pg7pO717T2NjY1p2DCLnvvvvUwptvvhkIBJKSkpKSknJycoYOHbpkyZI9e/aEBdwWIY6FWPBBKXwCz7Z7g6Gjtn2rECMgBWxQB3vhFXgignsYfxRiBCSDgDrYB6/B462tWQ1xlk6q78AoOBHe1Sukw17oC/EW5y5hFSTBVKiBw9AHjtMZF4DNZjtHP+hwCHbAGPBADEjwQxKEdNmy1P1yVQxQEPzggCjwQh0chvJXX7388suPeOA9mY7K96w23n8TAJUtE+HNsJ6Jur8FPPHEE/n5+Wr5rbfeqqqq2rdv30cfffSRlMC0adPGrFuXpZ+0iNINddWtCJcOOndDDnwFo+A+ISqhrDXzrircrZ1Fb7rppuzs7IkTJ8bExKif1tfXl5eXP/zww0fpwJ1OZygUKi8vt775y6ZTfVyIcKh92L9X6nuT0tJ8tbl/f/LJGEsKzXRd/+6HC8AOJfr31A1AnSW4qX1MebvBYDAYDIYeixHuBoPBYDAYeiJlZWVAVFTU1KlTO72RQNMM98TIRqny6hD4oLrT+9bU1NQA0dHRXd4SoVAoOjr6f//3f4cOHZqcnJyRkZGamlpQUPD888+Xlpbu2rXrvqbR7Td33La3FKZjx44944wzsrOz4+Pjz4EkAKphNxzcuPGJSZPan/OtQlwBgyERpB54emtrFkMKOMEHFfAtvA0/hb56p4qP4Dr4HArA1bTO/VMohlQYAAIaoRRUDo/NZpNQBcUwErKgEopgOFRpvR5lUe3qoxICP9i1EGyAcngLjnvttQ7Eov8Q6HS3VWDChAltjf2B+vfbb78dmDRp0tixYxsbG9PT0zMzM0eOHLl27dq9e/empKRkvvfeX//2twULFrwkRIY2706LeQ/nvAMF2r83wINCVEMpvKzPjM1mAwKBwPXXX5+bm5ucnDy0AFb9AAAgAElEQVRy5EgV7O7z+SorK3fs2NFqQFM3ooR7+12d72h6KZ8QIggObd6FJWNd0mb/VWv9+174rT5FwEaoh61QDUH4Jxzb7cdpMBgMBoPB8H1hhLvBYDAYDIaeyLJly7Zs2eJ0Ol988cVOb8RvyXC36w6cRyROC3cvlB959SOwdOnSLVu2dJdwdzgcUVFR06ZNAx599NGCgoL4+PiEhISsrKwBAwZ8eOqppaWlO3funPrii+1Et0dY2D5v3rzc3Nxp06ZFR0f7/f7zrr46Qdeeb4cDL70Ua7O1up0wS4WYCnkQD0GohO1txDFXgAq5r4dD8Dfwwi8gt+lV2wgbARgG30I+xIEK61F271W4C/xQBXthqD4om81WDN/AeKiHUugDTtgDeVAKKfoWSwJUQDIEwAsCvBCCSvgYbpDyFHj99dfbP/AfNJ2W75P11Wlr+A/Ov4cjmx544IEhQ4ZkZWVlZ2f/5S9/QWfWX6WP6NdCpEN80x6kUTC9aYtRL3igDzwiRC2Uw/kbN6oK9xNPPFE90OP3+6uqqoqLi5966qnv5zAdDkdHE4Fub3opHxYiXPwuLLHvtO3fk6DEcmY269ta4/SvnqLZJyrMmDFj2Lq1Q/1pDQaDwWAwGL43jHA3GAwGg8HQQ5FSOp3Ne51G4uzGjh2rTJkPQpYK9/aajVqIBaHzuw90eNat0/JAOkEwGBRChDc1b948tbBixYrMzEyXy5WQkJCdnT1w4MBdo0f/5aGHduzYsWHDhmYbOaJtv+222woKCpKTk4cPHx4IBGpra3ft2nX/smUuCEIFbINxUr744ovt29hfCTEeekEs+KEcvoJLWqxWCOm6P2o17IHRUn4nxAjI1O9XAlq9ucEBPkiFYsjTzj1NG72FMAk+g0vBaalw7wM5UAJ74AQ4BBk65caurZ+qt03Sqt0GIZ0gf5mUIy3nynakmw3/GYQ/FR0te2+VH65/f/DBB9XCI488MnLkSCnl6NGjN2/eXFZWtn379ieffPKn+lheEyINXBADC+Embd7DVd5W854PFRUVubm5Pp/PbrfX1dWVlJSEeyZ/b9jt9i5G8N/b9FI+KESMJXxGNO28qv78BQY1DXxXPVf/CL/VN0rbs+0Gg8FgMBgMPRgj3A0Gg8FgMPRQpJQqWiFybrzxxmeffTb80qvFjZKqkcSoTxFiuS5vr4enusMJSim7EkYfRsVkt3T3/WfNOhaSYF0L8/7ss8+WlJTs2rVLPSjQTozML37xi0GDBqWmpo4aNUpK2dDQsGPHjt4LF46Fq3RPyDL4Ei6WEm3/25rqa0KcDlk697wEPoWftVjtMCSBHTxQCl/CRCk/EuIkHS/jgRL4XKu3yTo+/iB8DFdCIeTq7OxwCe2rcC9IqLNUuNfAQRgIUbAd+sAeSNN3VlR/SJe+SWPTMdM74JwWnVF/QKa4u4ik7L0tPdoW1u38UE7pPffcs3Tp0mHDhn355Zd9+/bt3bt3Xl7eq6++evDgwU8//fTll1++3NJhdQrU6/aq6iEbCdEW8+6HKqezqKgoJiam7sYb68ANP1206Nff79mw2+0tu7Z2hQekBN57773a2torrrjifiHimoa/CzjOUvAeatFt1a8j2lt+qIxtNxgMBoPB0PMxwt1gMBgMBkMPRSWodGhIIBC47bbbnnzySfXSA6pu06bjlSNhFrzSTQHuYTp6IK2iHHezTa0V4gwd3X7BzTd/ChdKuWrVqoyMjPj4+MTExJycnCFDhqxZs6a8vHzGjBmrVq2yDpdSPvDAA9nZ2T/+8Y8dDofb7S4sLLz33nuBF4U4BbIhxiLNwz4xGAzabLbwwwRW3hHiR5AODnDDQfgTzGy6zneQrfuj1sB++B1I+IcQwyBBt1cthg/hTkuDxFLYCadBPhyGfNhvce7o+tkH4UbYBYCqcP8/OA2KoBekavHng6DenWqXatMmdB/8Gp5uTX2qqvnOXML/CMJyfMuWLePHj1fLLfNkOsQPqPjd6XRKKb/99ts5c+YAK1eu7NWr1zHHHNO/f//169cXFRWpLsfX6kNYJUSKvqPj0J17Hbrs3XXddQHIBR94wAN94REhaqAcXvhezoPNZgsGg0deryPMnj37/PPPVx5/QdOjuF+IKP2dbG8aOBO0yPfn4MoWn6tNsKJ7J2owGAwGg8FwFDDC3WAwGAwGQw8lGAza7fazzz77ww8/jHCIz+ez2WwjRoxQLxu1cBcdEe7AlfA4VHRwwm3RajZOJwgEAs2E+2whbtD6uBYK4TIpgRkzZqgVVq9e3azm/eSTT66srDxw4MCnn3560UUXvfDCCwMGDPD7/SUlJXfddVd4y5uE+DFkQhR44CD81eIQw5NJSEhoNsnfC3EspIAd6mE/vAf3NV1nP6SCE/xQATvgLCm3CXECZEOs7vsabq/qs1THfwBXQQMchEFgg3wo1tk1LsjQ8u4ZmA9v6Qr3kRAFiTrgwg+ZIMEPCeDVwTIBOAB/hZlSntr1a/afzgMPPDBq1Cifz/fGG2/QIr+o0/Rk/66Ee319vXo5c+a/7iWtX78+NTU1IyNj06ZNZWVlb7755tChQzMyMhKWL2+Mi/PYbEKIQCCQev31MZacd2vgTDhWRQXONMJiIWqhEirgKOWV33TTTePGjet24Z6cnCyEaHWzYf++Voi94NR3v+zgsDyncps+D1ayu3eWBoPBYDAYDEcHI9wNBoPBYDD0UJRwz8jICL9zRO/m8XiEEHFxqo8m/SEEUgv3DqW6NMLBDk+5dUKhkN1u7/p2VLmoVbj/FLIhChrhAGyGsU2HTJ8+HRBCLF++PDMzMy4uLisrKyMjo2/fvscff3x1dXVhYeG33367adMm66i3hDgJ0sEJjVAMf4DZTU++3+8H4uPjrW/+RYihWmrXQCGc1uIoyiEebNAAh+H/4OdSvi/EaEjTETTl8DVMsCS2Ww+5EvbAybqDazH8EcbrYvx4S8HsvXCSFu5xsA9SIQheXUvrhRwIgBMCUAJfwhQpj2v3QvyXV7iHkVKqmCMpZTAYlFJuFqIPJEMs5HbfjnqUf3c4HFLKiorm9+OmTp0K/PznP8/Pz09JSZk4cWJ0dLT6bQ0EAnV1dWVlZQsWLOC664A1QiRBDETpsndV+R4NIUusijLObmiE+UJUwWF4rVsPPyUlxWazdW+kDKC+hNW3RFvUQz/wQA3MgQf0qVDaPQ6csFKvfAW8avm3a8bWrd07YYPBYDAYDIZuxAh3g8FgMBgMPZRAIBATE5OYmBj5kMbGRiFEbOy/2qP6QRVYdkK433fkVSKlE9k4rdJMuL8nxLG6JWkZ/B+saGHiwqZy1qxZamHx4sV5eXkJCQlpaWmpqam9e/ceOXLkmjVrKisri4uLv/zyy5lbtx4PieCAOiiCt3QosxW/3y+EiIn5VzD+g0JcAAO1766CHXBm0yG7IQNiIAiVUAinSPmCEH8TQmXQ23Tp+l/hRvDpHHbrnY/D8DWMBw+UwbdwLNwMfiiGbIhu6ty9UgohhBDWDJl43bjSrhqrQhnsgHFSHhPBhehRBdf/Lq644oqf//zn4WabqpZZPWDxP0L0gd0Qo/+xEYSc7tv1v9e/K+HeLElp1qxZWVlZSUlJp59+elRUlM1mk1L6fL7a2tqSkpKcnJxvvvlm9erV4fWv03N+99136zwe56RJUTrl3GEp9A5HvauPqxv6wsNC1EAZrOuOA3e5XEKI9s14J1Bfwu17/FlSrhNiun75YNtr3gpemAzdcN/SYDAYDAaD4ehjhLvBYDAYDIYeSiAQsNlsLpcr8iF1dXVWC+yzRMqoAtL2mdJU5HVXhkN3Vbgrx602paLbE7Xd/hZmtm3brURHR//5z39euXLlPffcM2jQoHXr1s2ZMycpKSknJ2fQoEEnn3xy+ZQpr5SVFRYWLli37hCsgBdbOw8+ny98qp8RYiLkQhwEoBK+gQuarn8IksEOXiiDr+EiKZ8X4mrI0S1Pa2AvrIdVWjJWwk6wRrsUQC5UQhEMhIGQBfVQAm/AJMiEaFBJNyHYpivc/ZAOhyENvNAA+SChGvbCaCn7RnwhTIU7oNKElHCXUlrV6qVSAr8RokBXu9uhRD9b0Ai1Ta9pF2mnFfDRQAl34Nprr83NzU1JSXG5XCeccIKKjQoGgx6Pp6amZvfu3atXr37wwQdHjhzpcrny8vLWrVu3Z8+eBQsWNJt8KBS6WMpFQuRAPDQLnHHqiJWAxbx7IB8W6cCZyi58WcXGxh4N4a7aRLez2Qh/gxbouw5O8MKSbpugwWAwGAwGw1HECHeDwWAwGAw9FBXIHs6HiYTCwsJTTjklOvpfae0qOSQcKdMNMeqdoruEu9frBex2+01CzGga3X5pZLbdaiEfeeQRdA7GqlWr0tPT4+Li0tLS0tLS8vPzhw0b9ocxY6qqqnIOH54wYcKbb77Z6mSioqI2CHGWLi33QRl8YelxCmyDXqCuYi0Uw1a4Rco3hRira979UAnfwTjwwzJd2P4xXKUfU1A0QCl8BaNhFwyFEtgDp8JMeBnO1dHz8ZAFX4dCgM1mawAJdt1Ktw80QDH8L9zSQVlpKtwB9VumGvk2E+6KiVICbwhRAElau6veoXHwDdRCBRyGXbCou6fX8vPfLVftyiuvzM/PT0tLW7Vq1emnn+50Ou12u5RSSfby8vIHHnjAun745Zo1a1JTU0888cRXXnmluLj497///QcffDBt2rTJkyermxZ3W6b3KyHUGXPqlBVV+R6tG4oGwKf7rLqhAR7QgTMdNe/R0dFHSbirGv9m70d+pyr8HRKO3EmAbp6lwWAwGAwGw9HBCHeDwWAwGAw9FBXIHi5Xj8SXvfjii1u2bFHFlYDHEikTSYX7/bDgSOt0gmAwaLPZur6dsHC/CrIgCtxwEN5oEd3e0ZrfGTNmLBViHLx+zz0DBgxITk6Oi4tLSEjIysrq37//qFGj1q1bV1VVVVJSsnPnzs2bNwNut1sIccayZSMhA5zggcPwMVxr2XIRpEK0Vuo7YYyUx8IfhTgRUsABbiiBT+FnTQvbT4YB4IVSywa/gRHghGRwwG5IgZOgAvbB1bARxkA6REECnPmzn3327rtCiPkwD5zghkzYB1/AT6U8vuMXwgh3QBV0hyNl2goPuURK4E0h8ptq9yiIhQRIhWx4Xml3fWKPxgMEnS6EnzhxYv/+/dPT0xMSEs455xwl2YFgMOh2u+vq6oqLix9//PH2N3LdddcBS5cu7du37zHHHNOnT58VK1akpKSoCvdmK1+vZ7VCiDR9l8Khv8RUzXuMpc+qMu8e6AsP6cCZ9ZF9StV1bGnGu4jarPrKogsXNKgTouw6Y8e3dWvJmDEctS6yBoPBYDAYDF3HCHeDwWAwGAw9FBXIHi5XjxAppXI9QCMEdIW7LYK/9yR0ap5HJBAIhGPlu0JjYyNgt9vzIc4S3b7MIp5uv/32/Pz8lmPbF4t3CzEFsuGuRx5xw354E1Ief7xXr16JiYmJiYkqc2bgwIFKvldXV9tstnXr1i2FNLBbeqvebtlsGSToZHal1H8q5ZNCnAFDQbVbrYX98D7cBZMthe0/A6AO9sOHlm0eA/ugDxyC7dAH4mEf9AU77ISL4X0YrZu+JoIQwmaznQMPwv3ghL/BeCmHdPI6mEgZ0EZVRbe3WstsZYKUwFtC9IZkne3u0NXuiWHtLsROWCKl9eN6VE91Wxb+yiuv7N27d2pqakJCwsUXX6wkuxAiGAx6vd76+vrS0tKHH364o7u78847gTvuuOPEE0/Mz88vKSlBn8NWuVmfh0eEyIMEiNZl76rmPUpr6IAue1eBMwWwUIhaKAJ/u266mRnvLhwORygUUjdNOzTwFciAc/TLB+FhfdThewwlsLF7p2swGAwGg8HQrRjhbjAYDAaDoYdSW1uLzgKOHKtwr9WRMjZdHDpFiLbc0zNCTIZX4EqgW8snVRj9eeed9/7773dlO1VVVVJKm81mjW6foec5d+7cnJycYcOGtfR3RyzjVQnsMeCFQ7AVHmo6ZOXKlSpzJjExMTk5Wcn3E088cesFF1RXV5eVlRUVFWVt2PCYXv9TyAP1bEIV7IONsETKV4U4H7IhFgJQDbtgTNPC9hNhIPihCnbCKZAJf9db3gaDYDvkQgrEwRdwAuyHLEgGAcfB3+FHkAZOOH38+GPhEITgHnhdyn6dvwgRnc//BlTz3nCGeySZJBdLCbwtRG9IaqHdw9XuzwmxE5bqk9zsbH8PtzqeffbZcePGRUVFKckeCoXcbndNTU1FRcX999+/cePG+Pj42bNnd3r74XL4L7/8Um3/hRde2L17t0p5apV7LCfheR04E2WJW1G9f4OWPqvKvO+GATBbiGrwtPa1dvDgwczMTI/H0+nDCdPy0qgbDJHwCPTTj+w0exTpXlgIDnBCbNOAKYPBYDAYDIaeiRHuBoPBYDAYeigLFix47733OircQ6GQUoHADCk/FUIZJpuWU23RH1Qt/Qq4uVMTbou1a9fedtttqampXdxO2cqVXHih3W5X0e17dUz2/PnzMzMzBwwY4Pf7i4uL58+fbx11RDv8FyH6QSz4oAQ+hl+2GDJz5szw8ooVKzIyMlwuV0JCQlJSUq9evQYNGjRq1KjG8857tr6+qqrq8OHD93z33cb33/dBMeyB8VKeBL8T4lQtwVXr1C/hUvBZCtt/CnYdMvMZnAt7YKBlJlkQo7NoVGr8IPga+sN3kAl+yIQM+CucCKkQBUkgIQQXtXvTJUJMhTugYlXq6+s7OvAiKYF3hMhrod1dkAhp0AueFWInPNbiSrX8PHf7tZg+fbpaWLVqVWVl5T333BP+UTiT/fLLL29/VpEQzsFPSkoaNWrU+vXrCwsLm/3+tuQXel9PC5FuCZyx6zNpLXsHcrV8b4RbhaiFeot5j42NlVKqp2c6yhHP/NKlS4+4kcfBCXGwHwZDL9jftAkEEAMJUAWx4IeMrVs7MVuDwWAwGAyG7w0j3A0Gg8FgMPRcrOXqEWIV7jSNlLFDUtsDM3Q4sgcu6uyE2+LJJ58cOHDgkddrl1uhWkqbzXbhmDGPbd36JmydPz8jIyMnJycQCOzevXvhwoXW9SORgB8JMQhcEIAy+BSmtzvqMSHOhjxwQRDWPv10RkZGfHy8ynzPzMwMhUI+n2/06NGbr7iitra2vLy8uLj4YyEugBGQqBNmDsCf4CadNrMTjoWrQEIN7Id3YBq4oD/UWCaQAoUwCOohCB5IgzQQMAhKIAghSICR8E84DlIszl1VAXfRuZsKd0A1C1UtN6WUH330UYeGXygl8K4QeZDYRshML3hKiL3wVLsn/Ogp+BkzZkS45hH32OpnJhzLc9lllz311FN5eXnHHnvshg0bioqKrJa/LWbrbS4QIh8SIAacYNd/nHCpTpuxBs644Q4haqAWxq5cKaVs58bJUbq3ZD0hq4WogViogDi4QQv3+XAbnAYN4IIUcEP0Ucv+MhgMBoPBYOgujHA3GAwGg8HQc+mEcA8Gg6r2VuED1ZFQVbi72h6YBA4IghsOdGq27bNz586uDJ8ixJNQJaXNZktISPg7DFixwul0ut3uHTt2PP30083Wj0QKfyDEEIiHIFTAlzC13VFrhDgfciAGAlAOBbNnT9A/ffTRR3NychITE2NiYpKTk1NSUqSUgUDA6/V6zj33m4aGv9XWVlRUHDp06Lo1a04DoBIKwQWjdLl6JWyH4+EOiNKtVndY5vAVnASlsAOGwR6IAQE+3V/RDy6Q4ID+8DWMgGSIgmRd5x7qmnM3wh1d4a5+PTt9Qi6QEnhPiFyLdo/X2n0ZXAvZ8LQQ++DxiPdinc+1116bnZ2dnJw8Z86czk2yW2hLW2/ZsiUYDDb76W9+85uXX35537598+bNi2Tj91uO9zlL4MwLMAXsTWvew4EzmdAIe2bO/AKqQTz/fFcOMEJa/agIfZ/gWlim39wI94IKKvonnKlvmka1+zVuMBgMBoPB0BMwwt1gMBgMBkPPRUoZLldXhbRHHKKE+9ixY1XJrQ/UGAF2aKd1aRzYwAv18Fk3zL07mSIEkAgqw93lctmefdbbhmonMgH6thAjdN13FWyDy9sd9boQp0MmRIMXSuAfurUp8DocN2+e6lPaCAfgrytWpKWluVyu2NjYhISEjIyMUCgUCAR8Pt/+c89d29hYV1f3dGVlSUnJt99++/7WrY1wCP4B50E8CGiAw/B3uAKe1Ts6FvZCHhSAE1yQBHaQuoY3Sku6WtgBFb/6lf3664c1de6ya0nQJlIGLdytT5N0mvFSAluEyIEkS1/Q+eCFREiBLFguRJEl271VzjvvvH79+qWnpycmJqrP3llnnaVanm7evDkUCqmup42NjVVVVdu2bXvppZe6Pv+ucP755z/zzDPN3pw4caJaiKTOvS2WwjngBqdW1armPRpCTc27F9xHsw3pEb+O1HyCsAxugc3wKqBnqAhoKe/QzSEMBoPBYDAYeixGuBsMBoPBYOi5hEIha7l6JPj9fqfTmZGRoV42q3Bvy9RsFOIsvX5Nt3ZM7UbsWrjHxsZ+8803y5Yta1X7RmLbNwpxAiQDUA3bYUK7o94V4iRIBwc0wkH4M4TjNt6A4ZAGDmiAIngTDtx887XQD5Lh8QcfzM3NTUpKio2NjY2Ndblc6enpqv7d7/efeeaZr02bVl9fX1tbW1lZ+cHBg8+//HI17IUToA9UWWbyDQyCHZClPV0DSIgHL6jT4YZyeAlWSPn888/7t2z57vzzh2iZG65zf1aIGzt1oVWn0P9yrMK9W0r+z5cSeF+IHEiEu+CRpi1VlXZ/Roj9sEjv8eqrr87Ozk5JSVG5RldddZXT6XQ4HGp6qpurz+drbGysqakpKipavny5dacbNmxoOZPv+W7KTTfddDQ226xd6foWaTPRusnqz4/C3t955536+vpmSfdtUQMx4INMWAPV+n0/uPVyGjSAgGzoTN68wWAwGAwGw/eIEe4Gg8FgMBh6KFLK3/zmNw6H4/zzz9+yZUuEo/x+v81mS0r6V1q7Wwt3VeEe3caoHIgCCd6merdb+Oijj8aOHdvp4VO0/nNDKBQSQsTExHTFtm8Q4mRIBQG1sFu7zrb4gxDHQoqOXy+C9+A+/dP3YAikgB3qYC88DyfAJMiDeJAw/YEHiuBtuAs88PjcuQUFBSkpKXFxcVFRUbGxsaqjbLgE/p0JE9xud319/dba2srKyoMHD/Lyy2p3ueCAOB3+k6qdLODUEfCfwxVSngJoOf7typX2mTMH69ySFF3nvlKImR2XxSZSBrDZbFLKsNfurs2eJyXwhhC36sBuZwvtngkrhbCvXh0dHT1+/HiHw+FwONSvg6ph93g8bre7trb28OHDS5Ys6egcWo89+YE/0zA14jUnd6ra3XrSpk2bJoQIBiN9jORuKVcJoQLoP4c4PQ0f+PQ6IcjRv+AduwdrMBgMBoPB8L1jhLvBYDAYDIaei8qHSUtLi3yIz+ez2Wzx8fHqZaOlwr0d4Z6iO6a64XDX5ty9jB07NkMvl0EoFLLZbFFRUZ227c8K8RNIt/jxs9od9VchhuhmszVQCKfpH7399tsHDx4cduONySCgBvbAT6Q8IMRIyNJR71WwA86CemiAYrh14cJEELpYfvXNNx9zzDGpqalxcXHR0dGq/6o6nFAo5Pf7/X6/d8KExsbGxsbGTfX1NTU15eXlRUVFj27Zkq2T9wUE9AQGtzgnNpvtJ1L+VYiBTZ17CJYLMauDvthEygA2mw1d597tXCLluHHjbvjtb7MhAaLAoX9/w9rdnZMTDAaDwaDf729sbGxoaKiqqupKBkv7hH+53n333f3790+fPr3ZCv8xH4lIbHv7XzWZmZlCiEAgEPlO1aMqlTAI0uE7ALxNhXs4HMwW+XYNBoPBYDAY/h0Y4W4wGAwGg6HnEggEoqKilH6NELfbLYSIi1NVkgxsWuEe1caoeLCBDxpgd9fm3Cp33nnnrl27OjSkZVH8d1r1RkW1chyR2PbHhDgXMnX2y35YBz9pY+UFQlwAAyEeQlANOyE8JynlH4UYr118NeyCsVL+XogfQSo4wQul8AVMhjqohb0wBGL1BguhDyxcsUIFr1fBThgND917r4qgaabg0SXMysJvnzr1nx5PY2NjfX19TU1NRUVFUVFRs8NRFe5Khp4m5SdC9IcEiIVU7dyfEuLWjjh3EylDU+HexQr3SZMmZWVlJScnx8fHu1yumJiY6OjoqVOnhq6/vtThOHjppb0gAaK1do+CWHBffHEDVEMNHIDvvsckqFZV8hFPwg/CyL8OU+BVS5NV1RrBCx5w6++N9omPj++ocEffM7sR1uh3GsCjl0OW1YxwNxgMBoPB0MMxwt1gMBgMBkPPxe/3CyFcLpd6GUnf1IaGBhW6ol76LMLd1oZwf06IiSDAD3XwxFHQdlJKp9MZ4cpW1Z6xdWt4+RIpN27c6HQ6Wwr3SIznPCEmQS+IAjccgHdhTRsDVwoxEXIhFoJQAdtgvGV3fxFiICTonqvb4e8QL8RwUNXr9XAAPoLroBaqYBf8SIv4cvgawkk1jVACn8IkaIQrH364H9RDMeTDYXj1/vtzcnKSkpKUjVVBNMr5qkL4sIV//fXXvV6vChVpaGhQpj7sOk+W8u9C9IN4iNHOXcITQtwe8XVXZzvcmPe/ExUpY7PZIuxmDFx88cVZWVlJSUnhjqYxMTFRUVGTJ09WfU1tNpu6pkAgEAgGgz6fz7t+/deNjckzZuS20O5xEA/JkAG9Yb4Q246+du9QWIqVlmfptddei4+P//TTT++///7299iJ3UUygcmTJ1911VX19fU/+9nPFguRAm54BQAHOCDKYt7DTVZtcKMQVW2fanW/0+/3t/rTVqmFOPDCSjgAG2EyeCxx7arC3WaEu8FgMBgMhh8CRrgbDAaDwWDouXi9XpvN9gVcgwkAACAASURBVNhjj0U+pKqqCrAK9yBIXeHeqvPuq6NmfJZ+fd2LlFK1lzwibdl2hcpwb+buI9Sdl0AuRIMXDsFWeKiNgS8JcSZk606G4Sp1xe2g6sTjIQiVsA0qYSL00unq1bAHfgz12td/C2daRPyfYBxkQwiqYB8cB/lQCYUwEspgJxwD26AXTF+w4BYAFkM9SMiHVY8+mp6enpCQ0NLCq3MVCoW++eYbQAixadMmn8/n9Xrdzzxju+mmvuBqWue+RIi7IjuT6jmD8I7+O2mrwn3SpEnp6elJSUkulysuLi58aZxO59VXX2232+12uzp7yiNLKaWUyq2rC9TQ0FBdXX3fffc12d/06cBLQvTWoUB2S7V7AiRDOuTBAiG2watHU7t3SCW3g7ppccSttfoLvmbNmqSkJI/HU1xc/MEHH3Tu3k9+fr7NZlOl6HP0XuYLkQWxEAV2HcZlbbLq06k+NwlRDf4W5j06OpoOnqXopUvj7rwzBuJgoP62aYQ6+A7ug2xQdzkEpHfiUA0Gg8FgMBi+R4xwNxgMBoPB0HP56quvfvGLX3RoyJIlS7Zs2RKuAfdZNE1bFe7pOsDdA+Vdm3BbRCLc77777k8++UQtt1Ttr0sphHj55Zetwj3yKI+/CNEPYsEPJfAx/LKNsW8IcSpkQBR44BB8DNfq3T0kxHjoDXEQgHL4CmLgx5AOUeCDctgGF0KDxddfAgEt4ofCGOhtWfls8EAZfAVjoAhyIQ+c2uCHC109EIICqIJj580b3+IoFi5cmJKSEh8fr1Tv4MGDgX79+oX9uJSy+sMPi84+uwBcukOjhEMbNrzwwgter9fr9arq+Pr6+nodGW8VmipSptVgn/9sxo4dG85+iYuLq6urCz9ksHbtWlWlfvnllzscjnC5erg6W4l11RfX6/X6fD63211XV1dWVrZ48eIIJ3CVlMB6IQq0dndADERBjKXaPQ8eFuI7eOnoaPeOhqW0hRLuPp/vyKu24LrrrgM2bNgwYMCAjIyMefPmPfroox3dSGJiYsvsl/mWk7ZCCJfFvNvgTTgTYvTjBUnQAFOFcFu0e1RUVCQ3EqzExsZKaIRSSAFgI5wGF1q+wAvADtXwbUeP02AwGAwGg+H7xQh3g8FgMBgMPZfOqSgpZViGuptWuLf6V59EsGurW9yF2bZDKBRqR7jPnDmzb9++eXl5GRkZe/bsOX7lyt82XeF13aUzGAwKIdSmIrftW4UYCC4IQBl8CtPbGPtbIU6AVLBDAxyA38PtoHb3pBAX6ZwZP5TB59Ab+kIS2KERDsEnMBEadAfaj+Fq7dO/hB/DPhiqS93/DNOgBorhGIiDbTAAdkAmhCAAdRDuHOuBXNgF78H9rR3F3LlzrS8fe+yx4cOH7927d8+ePZmZmQkJCSoX3vPOO7YLL+ytnXsa5OXlqSGhUEjVXKukGvXfTZs2qdSaQCAQGxtbVFR07rnnLl682OPxeDVut1sFytfX1/9Q0mbOPPPMtLQ0dVpiY2Ojo6PDBekKh8OhBLrD4ZgxY4ZVplt9ek5ODhAMBtWpCwaDyqqr01JfX19RUbFkyZJumfNUKYE1QvSF5KbaPVZb4HTIhUeF2AHrulu7d2+Fe+e+5RRXX331fffdd8wxx4wYMeKZZ575/PPPf/WrX0U+PC4uTgjRzuHcrE/dMiHi4QM4HyQ4INqi3ROhAa4XohZe11+/Xq838plER0fXgRMckK3fLIbh8BWgw2Skfh7FYDAYDAaDoSdjhLvBYDAYDIaeS3JycidGWQPTGy3C3dZGpEwc2MAL9XDP0SmJDYVCKnyjGRdffPFJJ500ZMiQUCh08OBBVaP6WVPhHrbt6NJah8MRuW2fIgTwKx3t8qX2lS35XyGGQxLYoA72weug0nyklM8KcQ70ghjwQgn8HxwPueACCTWwDzbBPdrXF8PvYDbUQjH8AX4KO+E4KIfdcCr0g1LYDifDAciGHHDo7Hg3pIEHwupuIfwUJko5KrLDDzdNffjhh5v/TMqvhciDOIiDEWPHvr12rUoVV6JZWWallZvlaEuNsvPh/4bZvHlzWNaHCcfNh1drpvXVOui7KWoX1pfh/9paQ0W1WBfsFtTLZkNuuummZluw5r1Yj7rZMfp8vkAgoHLzpZTfffddQ0NDeXn5E088EdmV6SrXSQmsFmIApECMjj1xQgy4tHbPgUVC7Gy7XUGHuPnmm8ePH99dwl3F33dITLfkoYceApYvX56RkXHGGWcsXrz4/fffj/B+T3R0dPvCPcwtUgKHhXBDlK52VyHv0RALLq3dpwtRCde8+26HjisqKsoBAYiBTbARgInwOKjbEeEPohHuBoPBYDAYej5GuBsMBoPBYOi5LFy4UAixcOHC8DuRdGi0CvdaCFiEe8u/+vxGiDEA+KCmu+bdglaF+1133XXGGWfY7faKior58+erN98TYkTT1azSMxAIhCvcI2GKHns9AD+DKa2dvV8KMQUGQyJIqIbd8BP9UynleiFOhyyI1jkzf4GzIANiIACVsB3OgVoQUAd7YR08ARWwE06EVPgGToID8DlcAvVwCFTWzU7oA3sgTRe2N0AaNEIMePRkOtoSU/W3bKvt5HAptwmRq43hRdOmlUIh/K1FwP19992XmJgYDiUPV3+HFbaKJg/TcqfWz214uVW93uqQlu+Ht99yd+F49GbrtDqN8J2A8D0ARdinqya0NTU1+/bt27Bhgxr73HPPZWVl7d+/f+jQoYcOHbrllltanerRRj2rsUyIoZACsbr4OqzdE7V2XyLELniua9o9Pj6ezj550xKbzRYMBt1ud9c3NWvWLGDt2rV9+vS56qqr5s6da/3abAsl3CM/nPD9yOVCxOhnhsIJ77EQp/P037vggiqYMn9+hL+wDoej4M03906YYE23UfcBQrARbtRvhnTIjMFgMBgMBkOPxQh3g8FgMBgM/2lY81tmSvkPIazCfYoQVgeUDVEgwQOVR21KwWDQKtyvueaawYMH5+bmer3ebdu2rVmzRr2/WIiLINYycGPT7aha1FaL5VsypYVlntCa/FKr9QMXhKASvoNzAS1kX7WkujfCQfgIJkEKOMADpfAZnAH1EIJq2AWnwRDt1sdBCXwFo2En9IKLoAL2wLFQAt/BMPgn5EIIvJACXvCBgAaoBzpu29HPBLQl3IGhUn4rRI527hm6hHauEAstu1N1xIqlS5cOGTLk5Zdf/vWvf93qNqdOndqrV69wjrwqmW9ZXR4uRW9m6hUt59wsDx1LoX3Ll+Fol5YCXSW9eDyeurq6FStWdPSUWicTNvud20h3oeqvFwlxPKRCbItq90RIg17wmBC7YVVnJxwbG0sHw1LaQd0+bGxsPPKqkTFt2rT58+cPGjRo+PDhy5Yt++STT1555ZV21lc3JjtxOLOkBJ4UIg4c+o9Th+mH493r4RohIon0cTqdwWAwSvdUmAwbLcIdEJZImWAP+MgZDAaDwWAwtIMR7gaDwWAwGHo0KhKko0OsSlpVuKOFe1LTlZPBASEdOH6UCAQCMTExavnee+899thjgdLS0kceecS62mhIAZt+2cy2o0trI6lwb2nbW7XV4dVmArAYvoIJgFZavxFiFKSDAxpgP2yBGyBBV7IXw4cwVXc3rYRvYSzUwH44BtLgAHwCZ8LnMBgS4AD8E8bCXsiDfHCCC4LQAEFIAC8IqIUq+EOnbDu6fLsd4Q4MkXK7EL20nA079zuFWNraTtVnsp3bHuvXr+/EVH9YqPzxcNPUf/d0AO7W09giRBrEaQVs1e6pkA2PC1EIKzo+7ejoaCmlx+M58qoRIIQIhUK1tbXdsjWFelZGJcycffbZ999//4IFC9pa2el0diXT5jYpgcVCJIIT7JZqd6Xd1Tn/qRC/PtKpttvtwWAwBFGwESbDvTpISv0PoJdekODq3HQNBoPBYDAYvi9sR17FYDAYDAaD4d+HqlDuEMFg0KqkfTpSRoCjhayJB5sOMNnZ5dm2RSAQsNlsZ5555pIlSzIyMjwez+9+97tmtv1lIXpBtM4sbkm4v+IRK9yf66BtDzOnqW1/V4jjIAMcUA974RW4GZJAard+PFwLLvBDCfwDTtf9UY+BBtgLb8GPIBH6gAt2QhBOga8gDbZBNAShQPfABOohCsqhDM6S8pHOKt0jVrgrBktZAl6wQzxkQD8YDbe1NvCIwv2/AXVKe5RwD3O+lD+Sch9Ua2kbBfGQAtlQAEPgVHhSiFuO9MFohmoH2i0hMGjhvmXLlm7ZmpVZs2ZdeeWVdrt98ODBy5cvv+aaa1pd7fDhw3T5cOZIOUPKPbphhq1pjH4q9IapRzrPSri7YT9MBuBkHSSlPLsdekMuZFoCpgwGg8FgMBh6Jka4GwwGg8Fg6NE0NDR0dIiy2+PGjVMvfVrZ2MCuIwsULwgRCwL8UAdPHzVv6PP5bDZbeno6sH///rlz57733nvN1hkCCSBB1bs2K29XTlOpsfZV7+NCnAqrYE27U2pp2zfqnap9TRFiPcwBO9TBHsiCByEWfHBYu/UqnbF+EP4EZ0MxpMIpUAM7oBfMhiwoghgQoGZfC7nghFgIgFsfuFf/DbUKvoVxXbsoKoTniMIdGGhx7gnauf8EZrUYa4Q7Og6lh0TKtMoF8v/ZO/M4qaozfz+n9q7eF2iWBkVEQBAjatwRRAwuuBCBuCBIEMUFVBA3XIIrCEajQ2LiOJNJzKLjMhOHuMTgxKgZk6hxQVwQQRCa7qb3pdbz++Pk1O92V3VT3V0N3fI+f/jpunXOqVPVt+sjz33v99XHaP0l7IYQaKvdi6x2HwXHwsNKpbyskhJTEt7Q0ND97c2aNcsI9+4v1R5z5sypqKgoLi4++eSTf/CDHyQPCAQCWusufMcmc6/WV2t9mdZ1EAHl0O5FMAjmK5X8nZPA5XJFo1G3ozlqE5jrADG4F0ZafR+zxwVBEARBEHotItwFQRAEQejVTJkypbNTIpGI2+02dhvr2rDCPeAYeQD47Ziabm+1PS677LKKiorPP/987Nixy5YtW716dfKYdUr1s5HoO9ux7UB9fT22rDgly5U6xQbTN8MyGJVeGEviFRO2PfHUPFgMD8ENMA+aYCsMh3FQC15ohK3wezgLPoMhEIcq+BBKIQ/q4HM4GHzwKQyGRmgEH8SgDPLtL8IUyUZgFxyj9aXdNrnmnoB0hDvwPFRA2Dr3UhgOJ8MVrafHYjGTvd7NvfVpenOFu5NpWh+n9RewG1pA2/CiQiiFoTASjoEfKbU0jZPECPeqqqrub2zAgAF0KTKrU1x77bUXXnihUmrEiBGPPPLIpZde6nzW5/NprTObaXOt1oN/97vc3/7WXDlzQS4UwUAoTnWdz2CE+7Vamw4WT0Od7dwQh1scI8fB0gxuVxAEQRAEoQfYr/+dIAiCIAhC7ycWiy1fvtx5ZI/yNBKJuFyuvLw887DZ0XavjXAvtgHuLVCRyV3/f2655ZZRo0Z5PJ5t27ZVVlamHHO/UgdCFsSgGj5qfzUj6zuorT4HBtmS8x3wv7AilQx9XakH4TH7sAPbnszlMBZmQImj+P0JOB+8MMaRLXMClMJu+AjGQCV8AAfARsiDAEShBepht9XcCuKwFSZmyOGauO00hftSrV+xzt1jnfvBcAp837GCVLhjM9x7c4W7k3O0Pl7rz6EKmh3avcCh3Y+GR5Va1uGp4vF4tNbr16/v/pays7N7usI9wdy5c3fs2FFQUHDCCSc4v059Pl88HjfBMhnE5XLFYrH1ELNfuTn2ox7QzteLUsrcjGIayM6ACjCXNWJJg2dkdruCIAiCIAiZRoS7IAiCIAi9mkgk0tkY95aWFqVUdvY/09obWwt3n2NkHrghZqu2M8ucOXPuvffekpKS5ubmcDg8efLkrKyslCMTvVJNV9IrWz/bxmYmOlUm86ZSZRCEMJTDW7AklQl9VakDbOr6bZC4g0BrfUWHsQ/Y2BkjvObBpbAI1sBOuAH80ALb4U9wusO8Hwk74W0YAf+AQlA2N98HCoIQt9cbXoezMidwf/zjH++xaaqTy7V+Haog0tq5nwqz7SKxWIwO7zPYHzAfaV8R7obpWp+g9adQCU0QBy8EoQD6wxA4BI6Cf1Hqpnb+ENxud6YUufk22DvCHViyZMns2bNdLtchhxyyZs2ac889F3v94JVXXsngCy1atAiIRqNPab0TIuACn4107wdl8L3Wn+28efOUUuZmFL89eAvcBqQS7oIgCIIgCL2c/frfCYIgCIIg9H4ikUhtbW2npjQ3NyulEnZ7ZOsM94TQ+YFSQXBBBBrgjoxKwyVLlhx66KEul2vnzp3Lly+vq6tTSgUCgeSRv1RqEPghApXwVutnk1WmEe6nnHJKm+OvOTR6BbwDV6R6R+uUOghyIAZV8D4ssMvertR8eKT9N2UK4WckHUwUyM+FK+BOeBHmwGXwGkyAr6AEDoMglIALQlBk09vd9n9Jd8FRWi/sAXurlJo0aVKagy/R+i3r3L2QBwPgEJgKs5RChDtgM9x7f6RMMjO0PlHrT6DCandPknY/EibBrUna3e12Z+rN+nw+pZQ5l/Ya8+bNq6mpKS0tPf3006+//nqPx5Nx45+fn6+UMldJl2u9QOsQKPBBEPKgGIbAJY4PtrS0FJv+FGm92i/htMzuTxAEQRAEoefZr/+dIAiCIAhC7ycUCp155pmdmlJfX++02xGIgbYV7l477AgbLxOGzhn9PXH77bcPGDAgHA7/5S9/WbVqFbBy5UrA5/MlDz7U0St1E9zleCql2jOWMxGYY3hFqeGQ69Dol6Sa+6xSh0AeaNuS9GK75gNKnQcHQA78FO6BmbAGfmrntmfbkw86eRkWwl1wOdwO18BqaIYaUJAFGuLQAB/AiT3mbTsbuf49rf8KuyHa2rmfBTOtJBXhbm4d0Fr3LeFumKX1BK0/gl3QaMNPshxV2CPgCDgFbnNo98wKd+zFm73JokWL/vGPfwQCgXHjxnk8noxvwNxa5Lwt6QqtTZtT0yHZOPfBMN9+qubb7J/pT3bWjwAIZ3ZzgiAIgiAIewXPvt6AIAiCIAhCR5hy9U5NKS8vBxLCPWxDCdpEypSCDzSEbFhw95k/f/6wYcNyc3NramruueeeNs8mC/d1Sh0GXmiCnfA9x1PteT0j3BOBOcALSo2FPIhDNWyAmanm/lKpo6EAFNTAZ/Bd+yprlZoKAyELwrAL/gYnWYN/N4wEoNqWwxue7mqY8sqkI8e0k36TEcx79Pv9exzp5Lta/7dS46EIfJAPGjTEYN2qVRMmTBDhTl+LlEnmIq2B/1BqqO0rYLS7KcfOgUJb9n6HUh/D9F//OlMl4V6vl30h3IEHHngAeOyxx3Jzc7dt23bJJZf8x3/8R6YWDwQCiUD2BFdp/bBSOeABZZupJnogBINBrXVzczNg+rdOhnz4OTQmrS8B7oIgCIIg9H72638nCIIgCILQ+2loaEg+2LGCX7t2LQ67HXJUuLscFe75NsC9GXZkYqs33HDDiBEj3G731q1bk207ScLd9EoNQjSpV2oHBtMI98TlhGeUOhQKAKiFT+GcVHMfU+oIKLJtTjfDmfZVnlBqIgyGLAjBDngDTrIGfzd8YBf3wVq4FY6DOzJnvp7Suudsu0EpZfxmpzhb6/ehBmLWuQ+EUTAVfn7WWSLc+1DT1I65ROuJWr8HO6HBxhwFIB9KYDAMh2/BFPjkgguempGZE9/j8bCPhLvh8ssv37hxY35+/vHHH79kyZJMLev3+7XWbYQ7sFjransngR9yINcGy5gpjY2NwL1aA7ugCRqSGloIgiAIgiD0CfbrfycIgiAIgtD7qaio6GyFuyEhWFscFe5O4Z5jhXsDbOz2Pm+//fb+/fuHw+FXX331kUdSBKFrrds43xNs+9Am2AYLHSM7eKF4PJ4IzPmlUofZhqv1sAmmppq7SqljoB94oBG2wqn2VX6l1AkwEPzQDNthPZxqbXsVfAjnQ7019V/AL2AKDIF/h5/AHfAd+HnXPjV4aq+42q4Jd+AMrT+0zt0PBTAIRsNpEinzDRLuhnlan6L132En1EMUXBCAPCiBQTAcDgdgcZe+kdpgGpZ2tiN0BlmwYMFhhx3mdrt9Pt8777yTfpODjjGXFUOhUPJTS7XW9oMthFwYCFjhXl9fnxg5COoyd+ORIAiCIAjCXma//neCIAiCIAi9n4ceekhr/dhjj3VqltNuN9oKd8BlA/VmKmV6qoahHn7SDWM4e/bsFStWBIPBioqK22677ZVXXmlvS6am1eDslVrh6JW6R3cZj8ddLpff7/+pUkdCCXigATbDKanmXq/UKTAAvNAM2+A5+yrPKPVtG63TBF/B7+EsR237R3AcmFsMauATGAZz4UDHiz4HF0CjrXx/BG6AtXALPLinj27v2HbjhZ0ffqc4TesNUJvk3A95cI/v75tM322a2jELtJ6s9V/ga6iDSJJ2B8bBfUot6J523+cV7sXFxaa76bx588yRSZMmTZ8+vZvLer1erbXpgJrMAq1zbUxTEIpgtlJerzcej1dWViaGVcJ1MDZpuuTJCIIgCILQJxDhLgiCIAhCH6Cz5cnxeDwxpRaiqZqmmniXEFR3Y2NXX331qFGjPB7Ptm3bTH/U9mgj3J29Ur+AFXbMHl/RVLj7fL7joD94bdF6ygxmpdT5YMy+iYtZDw9qDfxOqSOgH3ihAbbAszAL8m0W/EdwQutS99GwE4bZFPhPYTRcB3XwGQyHGfAxlMGnkAvAVXA1rIAlsBh+Yjf2lNZ7x7Yn6LJwByZrvRHqIA4BKITBcBCszESlc5/GVLhnKta893C11lO0/l/YDrUQAQV+yIWrbLX7eLhTqQu7eg6Y/qvJ0St7jZycHJfLZTawfv16c/DUU0+98spu5biYyn3TATUl9RAHl/08B4ER7s8884xzzIOQ0v2f1p3NCYIgCIIg7BVEuAuCIAiC0NuJx+OdtaXOKVdrHXFkuHtgplKAF+LQAru6urFly5YNHjw4Ho9v2LDh0UcfTX9L65QyprsFdsIsIO0yYSPcvV7vAPDZHJh18LOk6Uqp9TAEsiACu+AvcLPWwItKjYMSR6T7Y/B92xrUdF49CbIhAuXwDoyHHTAc4lAJH8KRELMufgzsgndgGLwP+aAgAgMhz5YJj4RyOGtvFbYnMBXubrd7z0PbZ6LWnzqcexAGw1hYvr86929epEwyS7X+jtbf1vorqIUwNEAW5EM/KIND4Di4WamZnT8NzM0B+zBSJisry9nd1Dh3n883bty4ZcuWdXlZj8cTj8ebmpraG7BA6xAo8EIQCuF33/tecqV/e1/LdV3emSAIgiAIwt5ChLsgCIIgCL2dhKq+8847Ewc7DnaPxWJOwRqxkTKmyN0UX5sA9ybY2qVdLV++vKioqLm5+bbbbvvlL3+5x/HxeNxs6T7bKzUGNbAB6IyyjMViRrgHbNH6a7AilW1/CYZBDkShEt6Fq7QGXlVqDBSBC+rgc6iBWx22/WM4Ccz6X8ObcAJ8DSOsf/8rnARhKIe/wZGwDYpgFASgCBSEoB4qIAxVMBQ2wVq4ZB/J2W4Kd+AkrT+HeghDFhRCGYyHRfulc08Id631N1W4Jzhd65fgS2gGDV7IhkIohaEwGo6F6zp5GuzzCne/3w84s1/Wr18/f/58l8s1YsSIO+64o2vLmvdlOqC2hylydzuK3NsI9xzonzTL5Ml054YkQRAEQRCEvYMId0EQBEEQejsJVe0U7h2TLNxN5oWpcM8BbAl2fSpb3THTp0+/4447srKyampqVqxYkeasxLs40bY5bYSv4IpOFggnhLvx3W/BklS2/b/gYMi1+TAfwhytgT8pNQoKABvLXg8jIR+wtn2CTXXfCi/DVPgaDrER8OvhTMfPJ8Fm6A9bIAgbQEEL1IALciEMB8Lf4RitH9kXZrabGe5Ojtd6CzSDgiAUw1A4FrqcK9J3Mard/PyNF+7A7VpP0/pj2A2mH6gPcqAIBsCBcBjcr9QVaZ8JLpdr3wp30900OWx9wYIF4XB46NCh9913Xxc6qbpcrng8Xltb28GYNkXuRfBfs2Ylnn1K6zBcn2rirfD1Xr9FRhAEQRAEobOIcBcEQRAEobfTxp4n6KDIPRqNut3us88+2zwMt46UCcLP7PGOtFAq5syZc/jhh3u93h07dtx///3pTzRbmml7pYahEv6vk7JyplJGuHs8ngr4O1yRyrb/BkZbh14DG2Gm1sCbSo1wuPUN0AxO/74RTnbkzPwavgfb4RB75Bm4COrhCzgQzoSNMBA+gxz7CTdDNrihARqhAF6GM/apI1NKmQSP7nOU1uUQAjfkQD8YBpNtTtF+RSJS5puX4d4eg3/3uy0//vGXjmB300+12Aa7HwErlJqdxslghHt7zUX3AqbLRSgUSn7qqquuqqurKy0tPeuss2bOnNmpZd1udywWKy8v73hYPcTADQHIhcGtn23v4pjpcS0IgiAIgtDLEeEuCIIgCEJvx6jqSy+9NP0pkUjE5XIVFhaahy22wl1ZxeMFDS1Q1ZmdXHHFFQcffLBSasuWLXsMbW9DLBZzuVw32UAb0yv1jk7admzos8fjeT9VPItS6gkYZ4vo62ATnK31jUq9rdRw2wS1Ej6ASGvb/gmcDEAtfAoj4TrYDi/ZFqklcKytgh8JFfAeHAAfQB4oCMMgyIMoeEBBOYzVesE+te3mkkb3I2USjNW6CiLggVwohREwIVOr9xH2hwz3ZJRS0Wj0Yq2naL0dGiAKbsiCPCiBMhgBx8Ctewp23+fCffv27UBzc3PKZ6+77rodO3YUFhYef/zx3//+99NfVikVj8cTXVjbY4HW4dZF7k5uTRpv8mRS71UQBEEQBKGXIcJdEARBEITeTjQadblcOTk5yV6vvSL3cDjscrlyc43cptkRKWOEuwdi0Aw70t7GokWLysrKdz2dsAAAIABJREFU4vH4J5988rOf/axr7yLRK7UcOlU4mpB3kUjEVLjPTPVpPAxH2W6oDfAlnKb1vUrNggNtnrsR5XEYDeaKhDHsEyAOu+FDONyGxqyDC+ADGAwbYAS8C+NgO/wZRiSFtrtsgE8NfAXn9g4V2/2mqW14G2ogBj7IgwEwElbuT0Xu+6dwx9HmdIbWp2i9C5ogboPdC6A/DIVRcBwsaf+UMMI9ZYH53iErK0tr3UF301tvvXXDhg3BYPDwww9fuHBhmsu6XK7kDqgpcRa5F6Yx/lER7oIgCIIg9BFEuAuCIAiC0Nsx9jw7Ozvlsymde0tLi1IqMaWhdYW7H1wQhQb4KL09LF26tLS0NBwOv/HGG08++WRn34JSas6cOSOnTze9Uk2cS/qaMmHbHwcT+pysj83ncCL0By80wVfwc/iRUmfCUMi2LU//Bm44FApBWdt+EkRgF7wDx9rpv4NZ8DaMgI9gGLwBx8IW6AfjIMsR2l4LbmiGGFRCOZzfOzys+ZwzFSlj+NeJEz+GOoiDHwpgMIyF5fuTc8dq9/0nUsZUuDuPnKP1+7AbWkDbYPdCG+w+FlYqdWWqs8JUgrdXYL4X8Pv9WuuGhoYOxqxevXrBggV+v3/MmDGLFy/e45pz585N/ojaYzAMg2EwCHyO48lf6aa8PQIddWIVBEEQBEHoNYhwFwRBEASht2PseSAQIG1J3djYqJTKysoyDw+FuI1xd1u5E4E6+Nc0Frzhhhvy8vKam5tXrFjx8ssvd/mNJHqlboP0U1acwRR1tslhG+FuFNVfYCD4oRm+hpfgeJgMZZAFYdgJf4EAjLFl6bXwGZwIIdgBb8Iptl3qc3A+lMB4+ADKwAcF8AkMcIS2K+gHOeCBJghBE2yEC3qHbcdGjWe2wh14YOLEzdYAZkEhlMF4WLR/OHepcE9wjdZnaL0JaiFsg91zoQgGwkHwLbhLqTmtTwxT4d5BgXlP4/P5tNZVVXtO1br88ss9Hs/IkSOXLl3a8cjS0tL0hXvYXgc138kdJ/D8wva4FgRBEARB6P2IcBcEQRAEobfT3NycEO6ksnvJFZG1tbXOKWEwGQcuh3APQXUar75s2bK8vLyGhoa77767a/tPbM/ZKzVN2kiozdDS0kJr4W7Wf92K9RCUwxtwMJwEgyAALfA1/Anykmz7CdAMX8Ef4BxohC3wnzAdBkMlvAcTIAfeh8OgCT6EPMCGtifCVTxQA3+Ehb3PwGa2wt0wQett0AwKglAMQ+FYuHD/cO6Jv8T9p8Ide4tJMnO1Pk3rr6AeouByBLsPhoPh27DcEexuKtxramr24t5b4fV64/H4888/n87gK664Qik1fPjwm2++uYNhOTk5pLomkZIQxG2nZa9tJtFeeXscIrDPPixBEARBEITOIMJdEARBEITeTl1dHeD3+zsY00bT3HvvvYDP98+ggrAjUsbInTg0w649vfSNN96Ym5tbV1e3atWqrm0+sbFyAOrhC7i9qz76ETAlsQnhbtb/AwyFIESgAv4Gg+BYGAA+m8b+CpTAWGvb6+BzOB4aYDOUwSXWtv8KpsEwqIB34RT7w+GwAQZCgW2R2gBuiIKGOFTBZK3v6mW23RRiZ1a4L126dMqUKcDRWpdDCNyQA/1gGEzeU7nuNwDji02d+35S4b5gwQLsLSbt8T2tJ2u90xHsHrTB7kNgFBwPS5WaqZT5ALtzx0w3McI9/fELFy6Mx+NDhgy55ZZb2htjbipKU7g3OVpreOw1vJT8CuIQgsr0tysIgiAIgrDvEOEuCIIgCEJv58svv8Rhz0k7wiIxJQQxMHPc4IUoNMGXHU6/6aabcnJyamtrH3jgga7su/VlANMrdSfM6FKYjOEpraurq7HCPbH+cMiFGFTB++CHwxxh7lvhBRgCh0ERuKxtPxZq4FM4CDy2yeoTcBeMgV3wNzgVyuHvNlhmEHgdoe0eCEGOTYc/tVeKV3O2ZDxSJmHwD9O6EiLggVwohREwIbMv1itJRMrsJxXueXl57Em4G87T+q9QaZt8JoLdS+EAGANHAfv6c3O73Z3dwFVXXRWJRMrKytpz7uamonQ+ImzTVOxF0Oz2y9uBGITgk05tVxAEQRAEYR8hwl0QBEEQhN7Ov//7vwNer9d5cI/BMlrrhHBvsVXYiQp3Ewd8b/uC+Oabb87Ozq6pqVm9enVG3kWiV2qaPJTKtgNr167VWjvrtT+HPNBQAx/DDhgHhbYCfTP8CpbDOCgGF9TDJjgaquAjONRh20tgDURgJ/wffMf+cBS8Z2PcY9AfcqAUfBCBJvgcvtMrbTs9U+FO6/Pt/6Da5urkwQAYCSu/0UXu+2GGezAY1FqHQqF0Bt+g9VlafwrVYCb4IReKbbD712edFY/H9+GdEB6PJxaLdXbW4sWLjXNPmS1jvnLTFO7b7HVQU+Ge1c6wnwEQg5bO7lUQBEEQBGEfIcJdEARBEIQ+gNa6jXAHli9f3uaI04E6pzRas5MQ7g1Q2/7L3XjjjT6fr7q6es2aNV3ec5sLAKZX6q8nTkxz+rdbP3zK4TSNcDfrb7QBLyaQ/TytT4QS8EAjfATHwBr4BIrBbW37kTYl5ijwQD1stqY4BDvhLTgTdsAbcCz8HYZa294INRCHRmiBOLwD3+3FytXo4B4V7pdo/THUQRz8UACDYSws/0Y79/0tw92Ub6cp3A3ztZ6q9Raos8HuAUewu+uiiybCbY5g972Jy+XqgnDHOvchQ4YkO3ev16u1TlO4P6C1iZ4xvawDSQPWwDIwd6ZERbgLgiAIgtB3EOEuCIIgCEIfQGvt8XjaHLzrrrtWrlzZ5mBCg8bj8cSUGkiYHVNNGW4/wH3ZsmVZWVk1NTUPPvhglzfcxrbvhCp4G84555x0pv+3UgPaf1Zr7Xa7Tz31VBxF61/A6VqvV2og+KEFdsDvAfgESqxt3wyHwA54CyY45h4CB0AIdsDrcDZ8Da/BifB/cIC17Q1QArmgbIz7yzCvF9t29kqFO3Cm1l9AIwABKIQyGA+LvqHOPVHhrrXeT4S7z+fTWpsmCp3iIq2naP01NEDMVnPn22D3kXACLNvr2r3Lwh1YvHhxNBodMmTIpEmTnMeNcDeNndMhceORG5J7dEQgC9ygIQqN8DQ83bUdC4IgCIIg7EVEuAuCIAiC0Adw2nMnu3btSnbuyVMWaR1p3aDvxnb67y1dujQYDNbW1j788MNd3m1yErGR2n+cODG5Tj+Zh5U6CLIdR55qbbRNhXtubm65rWTfCpO1fkGpoZBlW6f+FVbDxiTbvgtegTMc8TKjIQAtsB3Ww3TbZHUi5MEw8EMU6sFrO9DGoRY++sUvDnq6txuwHqpwT17wZK23QTO4IAjFMBSOhQu/ic79hz/84a9+9Svz834SKWNsckNDQ9emn6/1KVpXQDNoRz9VE+x+KBwN1+ytU2Xx4sUulyvN7qYpWbRo0dNPPw04nbvH49FaNzc3p7lIpH3hfjuEwQ8u0BAB87nvJyebIAiCIAh9GhHugiAIgiD0AWKxmNvtblNNCaxevToajd5zzz3Og8Z3mymJgxFHpIwHsmF70qssWbIkJyenvr7+hz/8YQY3vx3K4XytlyxZkvKyQRuOhkJIiLc2tj1RWZydne2DZtgO/wVPKnUw5EIcquEjWOyw7SbMfSRUwT/gIodtHwN+aLaSfRZ8BWVwKuTDZxCAKDSAD4rAD2H4Go7TOh6PZ1xkZxxj6JKvgnSTlAserfVOCIEbcqAfDIPJqfrffjPYr5qmGuG+e/fu7ixyttYfwW4IgbLB7kUwEIbB4XCPUt/v+bMlPz+/m8IdWL9+vfkh8c1sGrGmfxPAYIhb4V7U+qlG+AB8oCAOEajrzl4FQRAEQRD2Ir39H0iCIAiCIAhYe15SUpL81C233JJcNq6UikajTkdvhDvgsjJ0dWuRfd111+Xm5jY2NnYnt51UHrbG9kpNGYzTBhMm47ONFlMubircA4GASYB5DcrgMBvmXgefw2z42Ia5G9s+CqrhYzgHXFAHn8FY8EETfAXr4GLYAkNgGxTARlvbXmeD790Qgs/gFK2BaDSacZGdcXoiUibRLzSZcVpXQgQ8kAulMAImZPC1exP7VaSMKd9OWOYuc6XWm370o4Z162ohAgoCkAslMAgOhqN6/gpNdnb2mjVrnnzyyW6u08a5G+FeV5euG/fAcBgGgyDiOK61Ng2vNYSgCerbuSdJEARBEAShFyLCXRAEQRCEPkA0GnW5XAUFBSmfra+vv//++1NOKSr6Z91kyEbKKPBAsPXgq6++Oicnp66u7oEHHujOPpMl7BbYBpdpTfvBOAl+ZMNkYlANtC5vd8bTu1wuv9+/C/4PPoXjHI1St8I58DH0s7b9S/iRFfGnOjqsHg4+O+U5mAeb4QDYCgWwAbIgCrXghwYYAc3wN5hmdxWLxfqEcKeHm6a24S2ohhj4bCvakbCy139QXWa/Eu6ZWgr47NFHt0EDRB3B7v2gDOjh9P8XX3wxU0s5nbvL5YrH4xUVFWnOdYMCDTFINFp1fsheUBCDFvg0UzsWBEEQBEHoYUS4C4IgCILQB4hEIi6XKzs7O+WzK1ascLvd9913n/PgxRdf7HT0odYV7lmOkZdddllhYWEoFOpOl1RSGdhyqIS37cN4PO5MuUnmKBsm0wBb2rHtZh2llN/vfxcWan0JmKL4FvgaXoAN1rY3whb4KayCL+EEh20/wur4LfArWAib4EDYDIXwgc2CLwA/1MOhUA0vw0WOXZkK9+Son17F3hfuc7X+COogDn4ogMEwFpZ/45z7flXh/otf/KI7rR2cGOEei8VmaT1Z63JogrgNdi+EGTASru8jJ4xx7meccYZpxJq+zU8I93jSPT0xuArMvUtRaIJfZHTPgiAIgiAIPYcId0EQBEEQ+gChUMjlcgWDwfYGLF261OfztTl47rnn5uTkmJ+bHRXuzgZ9F110UWlpaSQS2bBhQ8a3XQebYbmjHrwD4f47R5hMOTiVVRu3a4S7z+e7ROt1Sg2BIETAFLw/BP0dtv0XcDdsg6NAQQ18AkFHsPtoWAKfw0HwBRTDe5AFYSiEneCDw2EHPAnXtK7wjUQiSqn8/PwMfmgZZ29muCeYpvUm2+YxAIVQBuN7uGx5b7JkyZLp06ebn/cT4Z5BTLF8IkL9PK3fgypoAeBHtpnqCFjWR06YMWPGBINBU+Ge5hSl1EhHhbsR7ony9iBkg9t2TG3smW0LgiAIgiD0BCLcBUEQBEHoA4RCIaVUVlZWB2Pq6upWr17d5mDC0ddb4e5qLdwPOOAArfVXX331wgsvdGeHyfrV9Er9rsNQdyDcf6TUMEeYzEfwL3Zim5WrbJCL1+v9jVLDIRdisBs+hOuhAjzQBFvhN7AcdsDLoK1tL4AxUA9fwBh7cDh8bnNpjL4vtgXaB8ImOFrrlUl5Gka4t3fnQS+hJzLcScPgT9R6GzSDC4JQDEPhWLiwjyjUPWI+2P2nwj2DmO8BZ8/Sa7U+S+sKaIFrIcs69+FwS184YR599NEtW7aY5hmdmpgPxTAWWlqHybRAlhXuYemYKgiCIAhCn0KEuyAIgiAIfYDGxkYTotLBmDvvvDMWi61cudJ5MJHtPgZiQOsK95tuusnlcpWXl3ezeWCye62AGvi49cEOhPvRrcNkFrRj22eYKwfxuBHuY8Ak5pgOqHOgwjZB3Qr/CTfDLngLrrf76QcjoQ42wWFQAxthBHxqbfsHcCCUQBxqYTd8ABPaia4Oh8NKqUAg0OmPbC9idHBmK9w7aJrq5Nta74QW26e3HwyDyT3fEnPvkPDsItw7i9vt1lpHIpE2x7+rdTmEbCfVfOgPw+A2pXrinBk/fnwGV2tpaVFKxWKxdDKmkv98mls/3AQBUBCHsO1pMSNDWxUEQRAEQehRRLgLgiAIgtAHqKmpAToW7sCyZcuSu5IasxNuHSnjsy3+du/e/fjjj3dnb8nmaDc0wTaY39pTmz6uySv8TqnSVGEyKZXulzY53ePxFIPbRsec57DtX8FzcANUwrswB6phAwyG4TbDfRzsho9gJGyEfuCFGBwE1RCHGqiCCExtv1FkKBQCerlw3/sZ7k7GaV0JEfBArs0JmZDZrewjElcdYrHYvt5LH8OcjSmLwWdpvQNaQIEf8qA/HAiHZvQ6zbnnnrtkyZLGxkwmteTn5ycq3Dt27in/dpK34gOX7Zi6M2PbFARBEARB6HFEuAuCIAiC0Ae49957geSU9mR27tyZsrFhGGKgrXA3vfjq6+vXrl2b4b1CBCrhr8nHIxGXyzVt2jTnwUeUOqidMJk2mOrOXzkiZRKNUp9vbdv/G5ZYyT4ddsMGGAYf2ACZI6AKPoDR8CGUWtveDNWgoRoiUAMz2rftQFNTk0mT7/qH1fP0RIV7pxZ8A6ohCj7IgwEwElb28SJ3pZT5YPefSJmrr756/vz5GVnKVLiHw+GUz15ow4hMnXsu9IMDYFzmnLvf79damwuZmcJESyXK9tv7rFL+4bwF9a2PXGq/pY1wvyeDGxUEQRAEQehhRLgLgiAIgtA30Fp7vd49Dlu1alVzc5twApRSIUekjAu8MH78+EceeaSbu0qWR1VQD5vh1iRVbQJYCgoKnAePggJwpREmY3jMJlF4PJ6ITYz5F2vbt8H/wLW2jP00W8Y+Aj6G4+FjOBIq4D0YA/+Agda2N8FuiIOGKHyYVKGfjBF2vVy479sKd+D7Wn8IdTYTvwAGw1hY3sede8Kz7ycV7p3qCLrHpVJGyiSYo/WX0AQa/JALJTAEvgXfy8Rp4/P5tNa/+c1vur9UAnOnSyQSWb9+PXDQQQedf/756Uz8GqKwq/XBXDA3K0nHVEEQBEEQ+hwi3AVBEARB6BukKdyBG2+8cc2aNW0ONjsq3I1w37x5cze3lDJMJgQ74bepxpuM45ycnMSRRJhMS4dhMgnb/pTWM21og9vt3g3vw1KohWbYDr+Ha6zxP9GWsR8Kn8ERsAF8sAv+DuPgHRgEXohCE1RBHBRUwoewbE+2HfjpT38KpPl72VeYyPt9kuGe4GytN0EDAAEohDIYD4v6snPf35qmmoDyjCxl3L1JZGqP+Vp/Co2gwedw7kfAJd0+bTweT8Z/aybyK1G2n5WVNXr06DZjUv7VmCt8v2n9hZNtO6ZG7B+OIAiCIAhCX0GEuyAIgiAIfQOtdXI+e3tcf/31Dz30kPNII0RbR8o8++yz3dlPsjmaAXGoho3wVCpb3dzcrJQKBoPm4aPthMl0bNuxlfIej+dTuNTa9m3wElwJjfAVHGVt++HwhY2OyYUB8DZ8C96GMvBBFBrBB8Xggmb4AG5Ow7Yn6P3CnX0aKWOYpPVX0AQKglAMQ+FYuLDPOvf9rcI9kaKTkaW01h0Ld+Aqrd83fZLBC9lQDGUwDr7fvdOmJ4S7qZo3wn39+vV1dXWFhYXXX399YkDKP5laiENyqX8WuOxTdfbg05ndsSAIgiAIQs8gwl0QBEEQhL5BPB53u93pj7/22mudD6utcAdcNqwgszwGjbAdvt+Ora6rq1NKJVqMHpkqTKY9jZuw7Q/bVqVut3u6o7b9D3C5jXRfB1XwPoyHLTAM3ocSKII34Uh4C4Y6bHsAwhCBZngTbuuMbQfSvxCyT9jnkTIJjtF6J4TADTnQD4bB5Iw2w9ybmFsHtNb7j3DPYIW71jo5/CqZG7Q+Xes6iFnnXmQjia7oxmnj8Xgy/lvzer3Oqwh33HFHLBYbMGDAvHnzaOfvpQKAOLTpHvuoUn4r3ENQBcAM+7csCIIgCILQyxHhLgiCIAhC3yAWi7nd7smTJ6c5vo2aud5R4W6Ee3csZ8owmQhUpeqVmuD+++/HBi+8oNSApDCZlFXztK6X94LxdG63u9Ya9ldhPoShHN6A78N78G3YBoPgPRgMORCDb0MlHAh+iEIDBCBkzfsb8IPOK61eLtx7osK9s5EyCQ7XuhLC4IFcKIURMCGDO9uL7IcV7ibNKSNLxePxxsZ0w8nP1LoWYuCBbCiEgTAarunqWe12uzP+W/N4PFrrlpaWxJEbbrjB4/EMGzYs5R/LZiiAbPAlVbgPAC8o2zF1e2Y3KgiCIAiC0MOIcBcEQRAEoW8QjUbdbne/fv3Sn/LUU085H0ZshbsCDwS6upNkebQLtE1Ov2VPwtrn8z2q1DAItg6T6di2Jy4PRKChoUFr7Xa7jW1fD/MgCpXwDkyDd+F42AEvQy4Mhz+DC96FegiB3wY1OG37i3BPlwpI90Ph3p0FX7f3W/ggDwbASFjZB4vczQertc6Uhu7lZLDC3dwZUF1dnf6UaVrvhii4IWid+0i4rktnjsvlyrhwd7vdWuumpibnwfLy8ttvvz3l+EBSDXuCAjAxVTFohgczu1FBEARBEIQeRoS7IAiCIAh9g2g06nK58vPzOzXlmWeeSTwM26agLltf3AVSanEvhKA8vYhhn893VKowmTZsAZJsO1AFY9asAVwu1w54DS6BOOyGD+EkeAcmQDn8GRbCLngbTof3YRRkW9teCEEIQgCa4H9gVZdse6ey9fcJRixmvMK9y3Mv0/pDqIM4+KHAJoQs72vOPREps/8I98xWuL/66qudmnWu1lUQsc69AAbACLihk2fO3Llze0i4x+Px+vp658FVq1alHPw/4Lc17M3wdetnPTZkJgLp3gUgCIIgCILQaxDhLgiCIAhC3yASibhcruzs7PSnGEefeBh2ZLgbY5URfgwxqIGN8Os0PKzX6y11hMn8HkjSwdtgayrbDnwK88BUuP8JLgKgBj6FI+DvMAkq4K9wMVTCuzAJPoIRkA0KIlAEFZANIWiA5+CH3TDIncrW3/uYQuzekOGe4BytP4cGAAJQCGUwHhb1KeeeiJTZT4Q7mXunXe6/Ol3rCgiDC7IgH0phONzUmTOnf//+LpcrEknuVNotjHB3lu239zeitS6yNexRaIJbW3//5IIbmqEBajO7S0EQBEEQhJ5HhLsgCIIgCH2DUCjkcrmCwU548nA47HK5FixYYB62gFFcCtyQ1fk9JPujr8ANTbAN5qXhrLXWpyxa5AyTWZsqTGY7vACkCpr/rv3B5XI9O3GiC+rhCxgJ/WAKVME/YDpUwYdwInwCB0EQ3oMQFIOCHGvbfwo/7oZtN+q/y9P3Ar0tUsZwitZboQkUBKEYhsKxcGHfce6JSJmMq9teS0be6eWXX95l4Q7MsK13FQSscz+oM3dI5ObmZrBaP4Gpmn/uuefMww5sO5BrhXsE6lsPWK1UFrghBiGoBGy+liAIgiAIQp+gV9//KwiCIAiCkKC5uVkpFQh0Inq9paVFKZWdnX3DDTc88MADTVa4u7qX4Z7AhMnUQRX8DaakMaVk2jQTJlNrw2SStdRr8L9wf4cSXGvtcrn8fn8jbIWpUAkaqmEDTIVq+Bi+DZ/AAfAmFIKCOiiBZltiP0nrSV3/AP65k14u3HsoUqb7C95z1ll3vfBCGQQgG/pBBCbDTKXG3XWX2+12u92JwnyttTGVzh/i8Xg0Go1EIpFIJBwOh8PhUCjU0tLS1NRUU1Pzxz/+sZs77JiEMg6Hwz36Qr2HjAj3vLw8utdp9gKtf6HUQAhAAJS9iHiHUh+37rGckqysLKVUxi+TpBNTM3/+fPNDENw2wL1NDftQ+6Zi0ARbM7tLQRAEQRCEnkeEuyAIgiAIfYPGxkallN/vT39KU1OTUioYDNbW1gINjgr3YwG4Van0w7iTBetq8yrwGdycxjr/o9ShrcNkpiWNeQf+AjdoDbyS9IomI/4nVrjn5ORsh+ehAoBa+AQm2YSZ8fA5DIG3oRSiUAZ54IU41MOJ3ShsT7B/CvfkBc8777xBgwbl5+cHg8GsrCy/3+/3+30+n9fr9Xq9brfb4/G4LEoppdSiRYsqFy/2T5liIoZyoT+EoRnGnHBCZ/eQOJMTRv6VV17RWt93333m+OLFi6PRaCwWi0ajxss3Nzc3NTXV19dXV1fv2LHjhRde6NQnkMhw73Kxdh/i4osvvuCCCzIiqYPBYHcq3A2ztX5CqSGQZcPQlQ3L2iPmsmXGL5M4m8omzsyJEye+9tpr5udVq1Y1NTVNmTJl1h/+cBa4bA377tbrONNmGiGRAZ9OhwxBEARBEITegAh3QRAEQRD6BpWVlUCnhHtdXZ0pit+wYUMD/APi0KbpquqMc3cyA3wQhTrYkMb4tUqdDNl7CpPZBgu1Bp5Valzrp562r3sGvBOPm4CdP8EttnR9E5wAdfAFHAabYRC8C/0gCgPhKyiGFmiEkzJh27HqPyNL9RCZEu7z588vLS0tKCjIzs4eMGAA8PTTT3u9Xo/H43a7Fy5cqJRqU5Aej8djlkgkYmS3qUk3BektLS2fwxQoBi/kQwzC8PYpp9zYmV/QvHnzCgsLg8GgEf1er9fn85mfE2M8Ho/f7zdV8wnpn9htPB5/5ZVX4vG4qZcPhUJGxzc0NNTU1FRUVGzatGn9+vVm/IwZM+bOnWs+WK114vg3mOLiYjIkqc0vpfs9S+dp/ZhSB0LQXrBxgQtmKtVxkbvP51NKhUKhbm7Aydy5c2fMmBGLxdr8oSVsu9Z62bJlxcXFhx122KA//KGDjqm54AENYajL4BYFQRAEQRD2FiLcBUEQBEHoGzz44IPr1q3z+XzpT6moqHj99derq6s9zz0XhzAcmGpYOs69jUWaAfeDghbYBXem4UbH21CXhvbDZP4Mz8M0+FeljoM8x1MJ2w4EbaRJIBCYC2675lHQAJthNGyBgfA+FEEMBsA2ONRuYEKGbDsQj8d7eYW7yapOU7ifd955w4cPLykpycvLCwaDgUDA+Gu32z1jxgyXy2U++Vgs5vf7jTpvbGw0Yrqqquruu+/u9P5uvPF5pY6AAvBDPgyGMCxX6u60f01PPPFEe09dfPHFHc+98sorBw8enJ+fn52dHQgEzFshh3NmAAAgAElEQVTOzs42JflmjDHyL730krlIMG3aNByRMvsDpl1zRiS1+RLrvnAHLtf6YaVGQjb4bJ376D3N8nq9ZOi9JOjfv38HufDmC3bVqlV33313YWFhYeuOqbc4zvNblbrAps202OL3GY7/CoIgCIIg9H5EuAuCIAiC0GfQWhtVlCZ5eXmhUOjTTz9dBy0Qhs9gRKqRxsa2p92TXe0SCNhgls1p7MSEyXgdYTJnJ635PvwdHtD6bqXOhCJHd3unbQfiEI/HXS5XIBDwQhN8Bf8K98FWGAlfQSl8BAUQgwaIQRBcUAknZ8620xcq3KPRaMrI9Tlz5pSVlRUVFSXcus/nW7BgQeLtmIL0cDjc0NBQX19fVVV12223maeeeeaZxsbGSy65JCM7PFfrV5UaBbmQBYUQgfGwSKkfZfSXlZK1a9d2POCiiy4aO3Zs4oPKzc0tKipyuVzTpk1rbGzUWhsR39zcbMrhd+3atWnTpqef/kZFgGRlZWmtW1paur+U+RLLiHAHFmv9S6XikAMFEIUBe5qyffv2/v37Nzc3Z2QDhg4asTq/V5cvX75y5cpc+6/QCDS0HjwKAuCCMLS0Ln7/Rp1PgiAIgiB8oxHhLgiCIAhCn0Fr7fGk+38vixcv9nq9u3fvnjlzJq+9FoWQjXMpbGdKmvEyM6AQ3NAMVXDNnqasVWpi6zCZHyeN+Rw+h7laA5OhPxiTTpJtB2psXbnP5zNO6vewErbCf8Es6AcbbT5JI+RBLRwBO2BipgWuUf+ZXTOzmNxtpdRdd91VVFSUm5sbDAZ9Pt+sWbNMbb4R6y0tLVVVVdXV1Vu2bHnooYf2uGxmQ+Ena/0XpYZBEIJQDBE4Fi5U6lc979w75sknn2xz5Nprr50yZcp//ud/zpgxQ2tdWVmZk5OTn59fUlJiToZYLPbiiy+aXJq6urrKysotW7Y89thj+2L7mcGUpWdEUmdWuAMXa/2/SpmvtSAUwXVK/bD908ZcPGhqasrUBsyapGoqm/yN2tLSku0IjWnTMbUEzE1MJsD9jgxuURAEQRAEYW8hwl0QBEEQhD5DPB5PX7j7/f7GxsatW7eedNJJQASawZRfVkFxO7OSnXuyV73ShLpAI2xPYyfjocARJvPriROxucYJquDv8B14VamDIQAhKG9nwc8hFov5fD6fz7cT/gRXwXZ4FS6E12AM5EEMmiAX6uFbsB1O6QF12zuF++zZs4cPH96vX7+8vLyEcD/66KPj8bhx6xUVFRUVFTfddFPX1u9a7n/HHKv1e0oNhgBkQz+IwOQ0Irn3Pl6vV2ttem8CF110kfPZq6++etSoUcXFxTk5OUVFRf379z/kkEOOPfbYl156KRQKNTQ01NbW7tq164svvvj5z3++L7bfFXw+n9a6vr6++0uZL7H20le6xm7IBT/4IReGdDjY7/drrevqMhaQbr4k161b1ybjPuWfyaA778yyHVNboKr1s/mO4vcMfNaCIAiCIAj7AhHugiAIgiD0GdIX7tdee63H4zF9Vr1erymlNMkqGhR8Ch/Ad1PN7TheZgb0Aw9EoAb+Dh2niiTCZEI2TGbx4sV+v/+ll15KjPkI3odbtH5eqcMgG6JQBe+mKm8HBkJNPK6U8nq9b8Ns2AFvwDR4Ew6HLNuNMAcaoRm2w+SekbaxWCz9qyA9x9VXX11WVmYkbyAQmDVrlsvlMi1ATQyIUmrq1KmZermUGTXd51taf6xUKXghF/pDGDIZ/JEhzG/cFH0n/6U8+uijyVNWrVo1aNCgvLy8kpKSgQMHjh49+sQTT/z973/f1NRUW1tbUVHxxRdf9OYSeHONobq6uvtLeTwerXVmhft5Wr+plA+8kA0lMEepn7fzJ28uHlRUVGTkpRN/CGeccYbzeHtfoYNs3Lz5jtrR+llT/B6HEJjPegaMgo09c5VLEARBEAShJ9j3/zoSBEEQBEFIk1gs5na7p06d+uKLL3Yw7Pzzzz/ooIMaGhp++9vfPv/8842NjUbfVEEUNLjAZTIN2temptQ9RfA35ICCZtgJD3fogH6s1Mk2TGY3fASHrV2rlHLa9i9gM3xP639X6hjIAw01sBEWAKlaBW6CWCxmhPt0KIe34VT4KxxqbXsLZEMTtEBpj9l2IB6P94R63iOXXXbZsGHDTHfTQCBw+umnm16moVDIFFAvW7bMjDzvvPPWrVuX8U320Lv+I3wHSsBrQ4HCsFKpG3uTbTTC3fw3TQ2a+HUkeOihhwYMGJCXl1dQUDBs2LCjjjrqxRdfNP69srJy06ZNP/nJTzK+8y5jLPn69eu7v5QJMsqscAfqIBvcEIB8OLj9kT6fLx6Pr1u3rvsv2t5fQQdnRaEjNKYJbnaM/KlSJ4MLorYftWGjBLgLgiAIgtCnEOEuCIIgCEKfIRqN+ny+4uL28mD+yZAhQ+LxuKnfjMVi5118scmT+StMAGN3jHCf2Y5VNyQf11q/o5QPYlAHn+1pw23CZC4HrrzSOWAblMOH8LZSU6EQFNTBZpgJpLLtwMnwQjSqlPJ4PJXwHkyAd+EQCLS27WHIh1N70tXGYrG9Eynz3e9+d8yYMa+//jpwzTXXnH322cawNzc3l5eXb9++fcWKFe3NzXhBes8V216l9bNKHQkF4Id8GAxhWK7U3b3GuRtl3Cnhnsy1117rfLh69erBgwfn5eUNGTLkwAMPPOKII9atW9fQ0LB79+5t27a98cYbGZHdXcYI94ws5Xa7M17hDmyDIgiCD3KgtP2RHo8nHo93/xW7YNuBvPY7pg4APyjr4j/p/hYFQRAEQRD2BSLcBUEQBEHoM0QikUAgkJeX18GYCy+8sKysrKGh4emnnwaOOf/8hL55Sus/KxUHjxXuXsDa2Icffjg7O3v+/Pntray1/rVS3wYXNEIF3NShV1qn1KHggxYoh+Rq0q+hDrbAIq3/opRplNoI2+B0AD6B5alWrrHlsR6P50M4Bj6Ag8Bvoxh2QwlUQhNc2sOW1tTa99Dic+bMGTlyZL9+/XJzc2fPnu3xeIxwr62t3bFjxy233NJDr5sOPfeup2v9B6VGQy5kQSFEYHxvCnM3ytho90yxdOlS58M1a9aUlZXl5eUVFxcfcsghEyZMeP755829Cx9//PETTzyRwZdOh0xJasDlcmmtk/uLdpP5Wv9RqQB47GmzTKlVqU6YjLyXrtn2G5WaD3FHx9RJkyYlLqUUgBe0DXB/HICp8GI7lx4FQRAEQRB6JyLcBUEQBEHoM0QiEZfLlZ2d3cGY0tLSaDRaXl4OzFTqX8xEW0oZbl3hnmtnGUm0evXqxx9/vAPnfiAEIA4NsLXDrZowmSBEbZhMcjpGGHbBK5Cv1MHgtznvrwGwuf2X2ARRW+F+JHwEB4LPEXzshipohHk972fNTjK44MKFC01WTE5OzvTp05VS0Wi0qalp8+bN11133VlnndW1ZZVSTrXXTXo6TvpUrd9SahhkQxCKIQLH9ehLdgZzT4MR7j30USxZsiTx8zXXXDN+/Pji4uJBgwaVlZV961vfmjRpUuLZvVP5bq4xZHCpjAt3oBLyHa1TB7e/gVgs1uVX6eDvfcGCBR3PPRpywA0tUA87YcSIEYlnc0zSF4SgFoAZsLvLGxUEQRAEQdhHiHAXBEEQBKHPEAqFlFLBYLCDMV6vt66u7plnnjEPE9kFj8NpDuGuwA1tzP3SpUvvueeexx9/PBKJLFy4sM3Kjyg1BTzQArvh8g7tW4owmdZshwr4BKbCAVbNV8I7cIeNmnm3ncUDYGydx+P5DIaCD/4Ko6EW3OCCur1i28mQcL/kkktGjx7dv3//nJycqVOnKqUikUhDQ8OXX36ZnP3dNTIeKdPTyfXHaf2uUmUQgGzww1C4SKkne0GRu1HtPSrcnTzyyCPOh07bbh7Omzdv586dGzZs+Ld/+7ce2oPpwZuppbTW4XA4I6s5man1nx2tU4thgVI/TfoFud3uLuv+Dk77Z5999je/+U3H0wdBABSEoQ7ehZKSEvPUQ0p9B1z2wmGlnfJV1zYqCIIgCIKw7xDhLgiCIAhCn6GpqUkpFQgE2huwePFij8dTVVVlHt4IHqtvDC0QB2Ur3LOSVrj11lsnTZo0e/bsn/3sZ5dddpnzqUUA7IQm+LrDfe4xTGYHNMB2eBlW2Eap1bARroAdUA2fw8XwRqr1D4C/hkKA2+0eBG9CPoy1te1uqIc34YION5kpjHA/44wzOtuD8bTTTjvuuOMGDhyYn59/3nnnGcleX1//2WefLV+eMkqn6xg/7vP5MrtgplZrjyO03qCUCePOgX4wvqdfMj0SFe6mt/BefnVnSbuR76WlpYMGDTr88MOff/753bt3b9my5U9/+lNmK9/dbndmhXsoFNrz0M5TA9ngtQ0AhrWzga5VuHdwzj/33HOxWOy3v/1txyskOqaae3Hyb7opEAjMnz//8ccfL2sd4L7FTtkBI+DeLmxXEARBEARhHyHCXRAEQRCEPkN9fT3g9/vbG+Dz+Zqamkx6O5ANLttE1NAExpn9P/buPDyq8vz/+PuZLTsQEBBErFYQtbbaamvVKtS1yOIWtGgVEREFFNe2ahEXVFBcsVo33FsBrVixVfstWG2tdcFWcQFBlgQCCSF7Zj3n98fTZ34nmSXbSTID9+sPr2HmzDlnJstlPueez6Mn3JMm9ytWrFBKPfroo08++eTkyZNbPLonvAefpj7JR5Q6FvIhlqJMZitEoBL+BTc0Xyj1bCg3Ne4nQF2KQ2yAkAncP4b+pvJYN2pXwFp4sLti0EgkopQqKipqfVMALr/88v32269v376XXHKJrrZoaGgoLS299tpru/Q83Q3cu80OKIZcyIM+MBTOVurFnh5y15Gxjt27P3B3cqbqDz30kO6cGTp06I9+9KMXX3xx+/bta9asaTEg3zEdDqmT7qrrAvd1sAf4IQAFMCCh+n/69Oknn3xye5dsTX95ybbtV199tdWZ/aeVOh58EINGKIe+ffsGg8Hi4mJMFq8D9wa4G0rgdPgjbJEOdyGEEEJkFQnchRBCCJE1SktLjzjiiFSx6fTp0/Pz82tqauL35IEHwtBo7tnfrNfnSR2462hp6tSpCxcuXLRoUUNDw4wZM5wb/DhtyHiYKZOpTVEmY0MtfA2nQn/wQQNshtEAhKEC/gkHpu5SiEFDQwPg9Xr7QgSGgA01YMF2uKEbM1Dd85OXl/hpgWZmz549ePDg3r17H3fccUBTU9OWLVvee++9F154oRtOUn+9/H6/izvUcXNX+4ltrzElIUUwAA7vhqO2RpfJZELg7jR9+vT4jSOPPLJv3779+vUbMWLEq6++qsfeb7rppg7v3OPxuNW6rpSyLKuxsbH1TdvvCtt+S6k88JqLNMOab1BcXKzXRWj7PtOk7fGvflsuSAyFPFBmUY214A0Gg8Fgfn7+Oeecc5UpcA+bAnegGoCGtp+rEEIIIUQGkMBdCCGEEFnjscceW758earAPT8/PxQKPffcc/qfE5R6ADDzknrGMwI6E9IT7ok7ckZLM2bMmDdv3oABAx555JFp06YlbpYYNbalTKYRtsKrsMAslFoOfwNgC1TCF3AxlMJbKd6HAqiqqsLknoMBqAUflMOM7g1A9aBu0p6fSZMmHXTQQf379y8oKDj00EOj0Wh9ff1XX301Z84cvcHMmTO77Tz1GrNu7a07U+btUAS5kAvFsE/CzHL3y5wJ96Qeeuih+O0FCxbss88+e+6551577fXaa6/V1NSUlZV98MEH8c/BtJGLHe66h0dfM+sK26AP5JmlUwc1f7SgoEDXN7Vxb21J2/VmrQbu/cyv3DBUwxGvvfbuu+/ecccdt9566/4vvuiDKHjMIhnadnOjfV8tIYQQQogeJYG7EEIIIbKJbdtJ55SnTJlSXFzsHG/HEe7Eu1nCzStlWm0Yue66666++uqDDz540aJFF154YYtHWxRY/661MpktEIUq+ATudCyU+hHcAuVQC5vgFCiHf8Ek+GWys2qCn/3ud/bYsV6vdxCUQwGEoAYmdXv6qYv1nVdBLr744hEjRuyxxx6jR4/2+XyhUKiiouKTTz557LHHuvnc4nTluruBezd0uGvH2PZapQIQgEIYAD/ongOnpl9798z4d9LVV1+tb8ycOfPII48sLi4eMGDAIYccsnjxYr3O6iOPPJJ+D1pbAuU20tn9zp07XdlbovNs+22lcsEH+dAPZioV75jKzc1VSrVlydZWa2Tity+//PJTTjkl/dT8A0qNAz9Y0ATbIce26+vrgVgsdjDkgxeaoMEsknERPAFHp1jKQgghhBAiY0ngLoQQQohsYtt20ti0qKgoGo1WVFQ470wsKAhDDGyzbmqLwD1pwLRgwYJ3lfrysceeeeaZurq6eG1F/Cnx4OlQ6J26TGYTAPWwAfo9+WTR5MkW7ITP4TIoN0Pxr8G3YBWckXpp1iboBY3g8XgqoQ80QBh+0ROzxjo3zMnJueyyy4YNG9avX78TTzxRKdXU1LRhw4brrruu+08plSydcAcqoNA0uRfDt3p6yF1H7Rk74Z6Us8n9iSeeGDBgwIEHHjhs2LAlS5aUl5d/+umnjz76aJqnuxi460oZd9d0baEKiiAAOdALhjoe0mtgtBq4t3GwXevduzeQPnAfBvmm46seNsL+llVdXQ3U1NT0B700RwRqYQ6UmCaZchlvF0IIIUS2yYKxFCGEEEKIOMuyksamPp8vGAy+/nqzEhcvWBCESnNPsHmlTPpKb50r3aVUPxh78cVVVVVFRUWPP/54i810MvVnpQZCAEKwDZYn7M1vHloMoydP1rn8Ovg5bDVD8f+BWbAaToGd8FmKE6uBDaZGfP7IkRGIwlk9lHvqDxz4/f5Ro0YNGTLEtu3169eXlJScf/75mZO264F03cDj4g7d2lur3oUGsCBgmtwP67ZjJ5PhlTKtuuiii8aOHXviiSeuW7fO7/cPHz789NNPX7x48ahRo0aNGpX0KS4umgq41U6Tyum2HQQb/FAA/eHn5ttVfxgl/ZKt7UrbgYKCAiB9Tc0As2aGvgI64NlnLcsqLS0F7r333t7gB7t5n0wtAHcCsmiqEEIIIbKKBO5CCCGEyCaWZSXGppdeeqlt23V1dS3u90AMglBq7mlqPuHuDNxTZUzfgwIATpk1a9WqVV6v9+mnn26xjVJqdPMymd8136AMYlANn8P94ING2AxjzAa1sB5OgbVwHNTBelPOnigXBprAPS8vrwHGdHvoed55582fP3/RokXHHXdcfX398OHD16xZU1JScsEFF/zqV7/q5pNpC3cD9252nW1XQAQ8zYfce+p89A9LqpUMssiMGTNOO+20k08++ZtvvtGj38CoUaPuv//+8847z7mlWxPuF154oZ5w7/yu0quFmFkaujccYO7XV8iCwWDSZyml4r8JR44c2eLRVF9rvYRDmsD9RqWckfoO8Pl88TH/p5UqAA9EoRHKoASuNMm7jtp7dtECIYQQQoh2kcBdCCGEENkkFot5vd4xY8Y478zPz49EImVlZfF7Jih1H2BWTP3YJEf1EE0WuCem7fFoSc+tR6EGet9776RJkxobG5955pnEcxsIdcnKZDaCBxpgM6wwU/Bb4a8AlEMTbIEX4Rv4ITRBGRTBwSnehAj0MoF7YWHhX9O/Za464YQTbrvttscff/zUU0/dZ599lFLr168vKiravHnzDTfc0I0n0j76q5m9E+7AB1BvZpaLYCB8rzsP31y2T7gnuuyyy8aPHx+veTnggAPOOeec5557bu7cufFtXAnci4uLuydwL4UwKPOpiD3N/Vu3brVtu7GxMfEpLb6lV65cGb9t23aaL3SrNTXfhwLwQgwaoAx8Pl/8/dwTckFBBOrgGgCCEP+FLuPtQgghhMguErgLIYQQIptEo1Gv19u3b1/nnR6Pp6mpqUUnsu5nj0C9485tJnAHvKlXs4lHSy8r1Qs8EIQKuMm2gWnTppWWlibOuQPDkpXJBCAMlfB3eBiiUAEfwlxzhpXwPsyE70IYtsN7MMLRhNPCUrDAsiyPx5Ofn39/tySe119//cMPPzx58uRhw4YFAoEtW7acffbZkyZNuv7661OtZJtRXK+UcWtXbXS5bVdCGLxmyH3fnhtydy6aumsE7nErVqxYsWLFKaecsm3btt69e//gBz9YtmzZE088oZRK31HeRvn5+biU3ac3xbbrwQKf+YbR9DS6Xq00zjnYnqjVL3EgELBtO03gPgjyQJklrD8Cr9cbfxP6mOH3EMRXktWfAdLt7dLhLoQQQojsIoumCiGEECKbRCKRvLy8oqKi+D0zZszIycnRi+856f/LCZsiYO0G2/6XUvEJdx9MUCpNmjMEciEGdfCN4/5f//rXQCwWmzx5countCiTKQUbamANXA71sA3WwQwAtkAVfAU/hSNhi6mduQiqYA3MhaRz414zZK3js64zefLkgw8+uF+/foccckgkEtmxY8fMmTMTN3NxPdKusAtMuAOfQH8ImJnlgXBIN5+BoSfc9YrBu1jgHnfRRRfp/x5//PGDBg2yLGvIkCEPPfTQRx999OSTT3Z4t/oHthsm3IFB0Ag5MBC2mTtzcnIsy9JrHZO2rl1ry9fX7/fbtp2qpgYodkTqVfA72162bJm+gPGoUkeZ4fcmKIcSuBE+hyVQYv4rhBBCCJFFMvpPIyGEEEKIFsLhsMfj0Wv0aTk5OdFotKKiosWWU2GRyXecImbCXQfuiWlTPGB6QqljwQtNUAUzEoKnCy+8sLq6+qqrrkp1tt+AFxpgC7wOJ0I9lMFEAMqhDjbBPnAklJsm99GmmuZHsD7Fnm1TZx8vnnbdnDlzBg8efPzxxyul6uvrV69efdddd6XaOMPr0XX/iYsn2T2BaQvTbPt9pQogB/LNkHuP2GU63Fv1xBNP6BvLly9XSu27775Dhw595pln1q9fP2fOnA7sMCcnx606+FZ54NtgQyXEh/P1NPrSpUtpLW1v+1fW5/PZtt3U1JT00WeVGgU+iEEjlOtz83h05/tepk8mCnVmpegQ1AAy2y6EEEKI7CSVMkIIIYTIJsFgUCmVl5cXv8fj8YRCoRZ9MppeMVXnO6eddpq+M2w63BX4oHfqYw2DPLChwbHsags/SZ22A7kQhR3wEdwDEaiCD8yjIdgO/wfrYJupbn8OgrAVXoJy+FuKPW+FWCymlAoEAmlOoAOmTZt27733PvPMMwcccEBOTk5ZWdnEiROnTp2aJm23bTsrJtx1BYqLO+x+n0Ij2BCAXrAn3NwTrTJ6tl2/nz1y7aFHrF69evTo0eXl5X369PnhD3+4dOnShQsXTpo0qV070eVL3RC436mUx1xQtCC+nqlerTR9hwzt/A73er2peuGBvU2fjK5oXwOAUkoH7sWm/isE1eYTQvp3IzLbLoQQQojsJIG7EEIIIbJJQ0ODs0dlypQp+s6kG+uBys8BKC7+X4lxGHRAqCfcC5o/JR4z3aTUHuCHCOyEj5Ptf6lSvVNn8cAg2BvWm5H2etgIdwBQBjvhMzgRRkMEKuB9uA8q4AOYAZ/AyBR7LrFtnZq5GLjfcMMNDz/88NFHH92vX7+GhoZ33nnnggsuuO6661p9om3bGT7hDiil3A3cu79SBphi25UQMU3ufWG/7j8JR6UMu/qEu5MOiC+++OJx48a99957tm3vt99+Z5555jPPPHPTTTe1cSe6fcWVOvj0ikD/TNpgOSbcfT7fGWeckeaJHagJ8nq9lmXV1tYmfbQf6I/hhKEabrFtTOD+gFKFZvi9CbZDCdwKTfCVebpk7kIIIYTIOhk9iySEEEII0UJNTQ0Q71EpLCyMRqP6zrinTRIagQaoGDlSb6nvDDoCd51aJnUkFICCRtgG9yVLoPY2De//hr/DNSl29XMohRBUwOsAlEMNfAOHwtvwPdgJX8AFsAO+hJ/Bp/A9M/vZwmLbxky4d3610vHjx//4xz/u37//gQceGIlESktLdUN922V+4N4VHe5u7aq9Pgd9KSgHimBPuEmpm7v3fHafShntsssuO/XUU52Lgt566636xuOPPz5w4MAjjjjixRdf3Lx58xtvvPHWW2+l2ZX+LEg3TLjnmfF2G2Jmwt2VxvZEOnDfvn174kMPKTUGfGBBE+jmryuvvPLEE08MhUL7wffMln+HS6AEwtAAzwMwHNZIsYwQQgghso0E7kIIIYTIJnPnzl2+fHl8rNvv9zc0NLz66qvObQaZGxHHiqnx2vdGE7irhMDdGTbtCTkQhVrTgdDCc0odAR5ohMrUabs2BIDHTYrUBFvgBZgAF0ANbIBToBY2wI9hLewP/4CihF0tNifZ+cB95syZw4YNO+OMM7xeb0NDw5dffpmmNyaNeLtIxtLj2LvAhDswybY/UKoA/JDfQ0PuzkqZ3SFwLyoqsm07FAolPqQ/ZHPLLbccdNBBBx544L777vvb3/521apVjz32WNJd6cC9Gybcc0FXyugJ97B7je2JPB5POBx+4403Eh/6NuSDB8JQDxsA6NOnj15k9XTHlscCcCfsgEpz59wOn5MQQgghRM+RwF0IIYQQ2SceuCulElOwPuaGLgXW4i00+zcP3JMuOfpi8zD9V8miqG9BHlhQB9+07bSnAFAK5fARTIcDTfj+DBwCZXAIbIK94T8wBJIkfEY0GlVKdaw8/Ze//OXQoUMPP/xwpVRVVdWsWbM6sJO4bJlwdzFw79ni8i9hD+gNASiCQXCjUrd1Y/CtA/fdZ8JdLxoRDAZTbTB79mx94/nnnx86dOhee+21aNGir7766s4772yxpa4774bAPWDKQ+OBeyqd/wp6PJ5UM/v9IQcUhKEGrrZtzOXPG264ocXGJRCFRthk/rlEKmWEEEIIkYUkcBdCCCFElokv0Tl16tRevXo1NTW12KDQ3AiaBgMcgXukeaVMPHB3pk77QC5YpnU90RAcZaMAACAASURBVKNKHQNeCMIOmN780XLYE4CRI0euXLmyxXP1tPsq+BD2hwr4N9wLW+A9KIT3YQQMgDDUNX/uYsdJ6syuvYH77NmzBw8efNBBB0Uikc2bN994443tenpSWTHhzi6xaKr2C9v+UKl8x5D7/t17ArtbpUxOTk6aRUGdzj33XODxxx8fMGDA0Ucf/dxzz61bt87Z8K4vTek6+C7lDNxjqQN3V758SqmkgfvNSp0JfrAg6Jhbz8vLS3XcMNTCrY57luwe32NCCCGE2JVk9J9GQgghhBCJLMvSPSp5eXmWZSWumJprbsyBTbBixQogXncQhhjYZsI9sST9t0oVgw/CUAX/l+wchkM+2FAPm5s/VAYx+A8AiWl73GFwMVTDl1AEO2E1jIXP4XDoa9Zr7ed4yuLmqVMkEmnXhPvcuXMfe+yx/fff3+PxrFmzZsqUKa6k7YBlWZk/4b7LVMpoa0CnvznQCwbB9d14Ps4J954d9u8e+iM1dXV1rW6pTZkyZdy4cWvWrMnLyzvssMNeeOGF22+/XT+kJ9y7IXD3OzrcrWSflenA4qhJTZo0SSmVdGb/+9DLrKVRA2Xmfn0Bo8XGJXAnhGCHuWdfGW8XQgghRHaSCXchhBBCZJl4vOv3+8PhcG1tbYsNnP9/82BCrBNuXimTGLgfCAVgQwNsSYi5gbuVOhn8EIad8I7joRLwQh2Umj6E9L4DwFfwBRwNX8IB8Cb0hoOhForNlomnoZdwbDXpHj169LHHHtuvX78hQ4Y0NjauXr36vvvua+282seyrN1twr3HU+aJtv1xzw25xwN3t0LbDOf3+23brq6ubn1Th6uvvhq4+eabDzrooEMOOeQPf/jD5s2b9957764O3J2XgmrMhHuLzwG5+FUbMGBAqsB9kFm7NQRVcIk5qN/vHzduXOL2MWg0uXwJzHfrFIUQQgghupcE7kIIIYTIMpZl+Xy+UaNGHXHEEZFIRA+wxz2g1Flpnx50TLh7QC856oyf+oMfolADnybbw3dNa00DlMFTzqNDGCrhXzAP7oUaOLi1V3SAufEf+DfsB03QALmmgz4xbccE7mkm3MeMGXPMMcecfvrpXq+3trb27bfffu6551o7l47IisDd9Ql3t3bVYWvNJyHiQ+6/UurObjmx3a3D3efz2bbd4ldNG+k+mWuvvfbwww8fMWJEU1OTbdv6h9d1iZ+66A1bIAZ3mHv+9Kc/rV+/3sWDFhUVkWwZ2GeVOgoCJkbf6ngocalnPcmul7l253M3QgghhBA9RwJ3IYQQQmSZaDTq9Xp79+4NJLYq9wMvLIILUzy9EXQypCfcWwQ/f1Lqu6CgCbbDHQlh4jVKnQcBiEA1fOJ4qBRsqIV1cDYETPg+Ex5s20v7HgBLYZDZv50ibQd0eX3SCfdx48YdddRR48eP11F7J9dEbVVWVMqQLI7sMMuyerZSBjjbtlcplQ8+yId+MKy7Dr27Vcr4fL5Ovsy77rpL31i6dKlt26FQaMGCBcuXL//b3/7mxgmm+94eDG8DYNv2Aw88oJRyN+7XK8omzux/CwrAA0Gogc8dD+mm+0RB2On4Z1s+JCSEEEIIkYEyehZJCCGEECJRNBr1eDzFxcVJB0V7gQfSzNzWmQl3zIS7c0R3MORADOrg62RPHwlFADRBOdzteMgHTbAVlkEh2FAHG+BB2ABvw8S2vcCz4KcQhAB8leaF1NWRELiPHz9+3rx5Y8eOHTBgQENDw+TJk7s6bQdisViPp8/p7WKLpsatczS594ZBcG23fCF2zwl3V3bl8XgsywoGg/vvv//UqVPvuuuuUaNGdWaHSqlWf/piZoRcl9G7G7jr9ahb7PNupfpBDtjm4uXs1t7A26EJtph/DpG0XQghhBBZSwJ3IYQQQmSZSCTi8XiKioosywqFWq4FmA/pZ60vse2Io1LG+XG/CUr1AQ+EoBKuSpYQDYIcUzjzheP+rRCFKvgEbgEfhGA7XABlsAM+gdnwKnwNy9vwMsfDOTA3dUq1YMEC27adIfLcuXNHjx7dv3//bovatcyvlNHjya53uHcyKu28s2x7J0QdQ+7Du+vQu1WHu17p1JVdeTwe27abmprGjx9vWdbw4cOnTp06b968DuyqLVE7sAli5oMyOnAPBoMdOFwqgUAg8drnwdALvBA11x2dp91iD/cCEIE6+CUAJeZOIYQQQohslNF/GgkhhBBCJAqFQh6PJz8/37KsxEqZvBQT7pdeeqm+oZSKpgjc9dNtqIfNyQ79klK9TEnCNpht7tcb61zpWCgAC2pgLWBKZsbDDvgAtsLL8Ht40zx9yZKUo5ytZmp6wn3OnDkPP/zwwIEDuzlq16LRaOZPuLvb4Z45PSrfmPUw9ZD7YLiq678Wu1uljNfrdetlKqUsy6qvrwcmTpy4fPlypdSIESNeeOGF2267re07actPXCVUg2VKtIDS0lId93fw7JPRhewtrn3uCbmgIAhVMC3t5YoPAAg175PRSnaPj1AIIYQQYhcjgbsQQgghskwwGFRK5eXlxWKxxAn3HFBgw83N7/d6vfF55IijUsYHE5TC/HcWhGEn/DPZoYdALsSgtnnhjN9E8IuhL3hN4cxlsB5K4Siog2/gNPgQfg77QBHMgVehpKRk4cKFixcvfvnll5O+ZGW0uF9PuD/00ENDhgwJh8P/+Mc/rrrqqra8h+7KlkoZ1zvcc3Jy3Nphh53RfMh9DxjR9QfVgbu+vTvkoe4G7rZt19TU6H8++uij55xzzt///nfgoIMOeuqpp37961+nf3pbvo1t2/4E9HYWxMz9um+9oaGhE6+gJb/fb1mWM8T/g1J9wA8xs7J0Gi9BBG6HRih38bSEEEIIIXqOBO5CCCGEyDL19fU664zFYitWrGjxaABU86FObeHChXvssYfOqsKgwzMduBc237IRtsLjCTHi80r1AS8EoRKuMfdvgRhUw+fwa8iFKFTDZ7AZKuA9E8cfBl/BMfAZfAxfw/EA/AWGzJgxYcKEsrIyHbu/8MILSV+7M267+uqrdeC+dOnSTz/99Iorrli0aFF73kjX6Fb9Hjl0G3VRpYye7e1xG8yQey70gsFwRddf/9itJtx18boru9IT7i1+cS1YsGDixImfffZZfn7+4Ycf/thjj82YMSPxiW2M2vUlEN2sZYPt+GWYm5vrjPtdoft2nB82Ggr54IEwVMN/HBs7X4Kuld8GQBTq4VNzf3/4tdlACCGEECLrZPSfRkIIIYQQiaqqqoCcnJxIJJL4qN9MuEdgWPOHevfurW+ETKWMcgTuN5rNfgNfJjvutyAPLKiHb8ydJeCBBtgMK6A3KDPU+Uuohi9gElTDatgEh8Em2BOGwSHwFTTAFojAMhg2c+aECRNKS0t9Pt/LL7/84osvJn0HdPQ2fPhwHbgXFhbef//97XgH3RaJRJRSxx9/fA+eQ3pdMeEO+Hy+VrfsBqfZdrUZci+APeDALj5ivFJmN+lwdz1wT/rQ7Nmz9Y9/3759jzvuuIULF06cOJH2R+3/O2fHhHs8cA8EApZlbdmyJfHpHebz+eIlOcBCpfpBACyzXOodKb5DdJGW/mUbgmrQFwwL4bfwNSyRdVOFEEIIkZ0kcBdCCCFElrn77ruBQCAQi8USH/WbCfcIVDV/qLDwf7PsQceEuxfyYYJSvRxbzk5IiCYo1dcshboDppv7H4QQVMDf4TeQY477b1gLG+FEaIBS+AEcANvhL7AvfAylsA/0AgV9zWn/HmbOnFlSUrJ582av17ts2bJUDe/Tpk3TgXtBQUE730KX6Ssf8esZGaiLJtwzJHAHNoJeBzMHesFeMLMrh9x3tw53twL3kpKSNIG7dsUVV5x55pnV1dUzZ878/e9/34GoXfOaS48tAnfbthM/GNQZ+s3R10GBA6AQfBCFWljv2DLxtSyHrXCHieY1ndzr33oy5C6EEEKIbCSBuxBCCCGyj23bujg48SGfI3Df0fyh/Px8faPRBO4KvJALQA48kPagN4EFDbDJ3FNmFkddA2OhCIB62AiXQjm8DmGohH/Ax1ADX8IVsB5+Au/AKlDQCBXghzCcY4Kzyy+//Mwzz1y7dq1lWcuWLXvppZeeeuqpFqdkWZbH48nLy+vZCvVwOKyUir+9GUhXrrv4LumLPXrF2kwwzrarIdaNQ+7xhHd3CNyVUkkv77XX4MGDMd886Q83derUtuww1ScMblNK/5lnm1+Gmp5Gb/sJt4UuuH/llVeAaUoNgFywIQg7YGbaD0DoevcoNMAaAErg++6enxBCCCFEt5PAXQghhBDZJ1XgfrtSeuQ4BmFY3Dzr0QsGAvs3n3DPhdvBCyGYlvAs4F4T1F4FVfCOud8LjbAFXof+4DfT7q9BFfwXrodaWAc/gJOhFE6AcjgI1sBhsAeEYF8ogobmZcfa1VdfPWHChA8//DAYDPbp0+ePf/zjc889F39U58i5ubm0uXeiK+hlbPVpZCbXK2X0OrGZE7gDm6AJFORCbxgCl3XZ98NuWCnjSuBeUFCQZsI91drIcSNHjozfTv/O9zKVMomBuysvxMn55pwIvR3LpZY6Nkt8XX+Fd2C+6ZN50Ny/BkrMbLtUygghhBAiG0ngLoQQQojsY9t20uRosFkq0IKw435doZCTk6P/GQHL1Lh7IQfywE5IiOK+47j9W3gKgBKYCTvgQ7gKCsA28fpNsB5OgyYoh+VwJFTCe1AF/4FSGApF4IFqiEAEapJV2QBz584dOHDgY489dtppp9XW1hYUFLzyyiu63l1PuD/yyCPxjXskdtfrJWZy4O56pUymTbgDY2y7pvmQ+8FdebjdqlLGrQl3/TOSuKs2/tiuXLmS1qJ2Ld/xZ54zcPd6va4H7s43Zwjkg4Iw7IR/p33iNtPupZeh1kpgEQw1UfvucDlHCCGEELseCdyFEEIIkX1isVjSboTeJnCPQSjhWfHAPQw6H9KBewD8EIFq+DjhWdcrNQDubX5nvFn4bvgP3AM+CMI2uBi2wI8gBjvhU7gXauFrOA82wI/hn/CJWV4Vs7bh5IRo6dprr73//vuLi4uXLl26YsUK27bPP//8008/ffv27YFA4E9/+pOecE98f7o5dq+qqlJKBQKBbjtie+lvlV24UkbbDEHHkPteMLVrvg30bLu+LYF72+lfQfFdtTrS3sKiRYuWLFny1FNPXXfddem3PAj6AmBDrLsCd73QhV4utRG2wQPmmyTxNb4DX8F80yejq95LoBqABe6eohBCCCFE95LAXQghhBDZx7Isr9e7devWFvcXgMdkTM7AXcc9fr9f/zOUELhjptHvS0i9j4YiUHAzYOYuE/OgWVANX8Lb8D4oqIfNMBGaYAv8BLbBAbAGvgv9IARF0Bf8ML75cc8+++x58+btu+++lmV99NFHzkUObdu++OKLTzvttK+//joWi+mFVZO+S90Wuz/55JNAJgfuOhDc5QP30c2H3PvDIV12rHilzG4SuEej0da3a43+GdF9RG3/brSNSZMmffjhh36///vf//599903ZsyYpNtPUao/5EIvCEAU3jYPudWNEzdz5sz4m3MpFIAXIlALa9M+sRK+ACAMNTDf3L/NxZMTQgghhOghErgLIYQQIvtEo1Gv19uvX78W9+eZwD0KTc0fWrly5fTp0/XtIMRMpYzHNA6nSogGmdCqxsSXJWCBHjG90LHlfJgFC+FjCEMF/B9EoApWwU74DMpgbygEBdUQhEL4sPkRb7zxxmOOOaawsLC8vPzKK6984oknkr4Js2bNisVitm3X1NToFQuTau8UbYfFr2dkINcrZXTC6OIO3VLafMh9CFzUBV96XUS++1TK0IaVTttC/4y0fVeJ7TF33nnnueeeW1VVNXjw4LPOOuv6669PfNZY6A0+U6RebtalmDp1qsfjceXKQVyfPn2UUpFIZIJJ+W1TEXN16vH292EjYPpk4qtbT4L/Oj4/JIQQQgiRpTLujwQhhBBCiFZFIhGPx9OnT58W9+c4Jtybkj4TgAZH4O4FPwShAn6ZMN7+R6X08oNNsB1mA7AAwlAFwF7N22biUdF1sBZugHr4Bk6DjXA4vO8ok/HAUNgEN5rjTpo0af78+QMHDgyFQtOnT7/lllvSvw96VHbTpk2nnXbawoUL02/c1bG7z+frup13kuuVMpFIhMybcAdOse1aiIEfCqE/fLdrDrS7Vcror3hn9qCUmjlzJuZqTRrxkfZUG1x22WUTJkzw+Xzf/e53H3zwwZKSZhn1ENPh3mLSvF+/fp1/IS0UFBRgXlEvk/LrD/ekUQX/cPTJbAKgBOpgCRwombsQQgghspwE7kIIIYTIPjpwLywsbHF/Digz4d5g7mwRs9q2XQs68YpPuO8wE5ct7AW5CfPvNjTCFgB6ATAHMHF83BswC+bAS7Ad/gxfm27lEPSCagjBJBOrXX/99YcddlggENi4ceM111zTlvdB51x+v9+27fj8fnpdF7tn8oS765UyoVCIjJxwB8ogZIbc+8DecIHbX3FdJrP7VMrQhpQ8qcTPl5x66qlXXnllqu3bsiBq3HnnnVdRUTFw4MAxY8bMnv2/Xz/3KtUPcsyk+Q6YZXZYWFiolPrDH/7QgReSil4GNhwOA3mgIAQ74f/MBok/dB9DvAtMXxKIX1fcCcAtprlLCCGEECJLZeIfCUIIIYQQ6YVCIY/Hk5+f3+L+gAncI1Cf+unTbTvavFKmIaHXBfi9Un3AYxoSdAS+EaJQDZ/AHAhAGCphIFTDMLg72REXQjUMNmUyNRCC78I42wZ+/vOfz5s3b9CgQU1NTbNmzbr77qT7SCISiSil4qPlbU/rXI/dbdvO5Al31wP3hoYGMjVwP8kx5K6b3A/tgqPsVhPumM80tF3HWtrbe1YzZ86cMGGCx+MZMWLE/fffP378+O9AEXjNpHmZY+Pc3Nx77rmnvYdILycnx7ZtHbjHl0vdCs/aNil+4mrgY7jTcUlAuxTKzWz7JQCMHDnS3bMVQgghhOgemfhHghBCCCFEek1NTUopPVzp5AMFlsnE09CBO+ABH9TCYwlp1z6QB5aphdGUqZfZAoVgQx18A9NgK0yHejgLxjjGNuMegUWwHJZDGN4DYNSoUT/60Y9yc3PLysp+9atftet9SFps0vbwTjm067hJ7VaB++9//3ulVGYG7jiG3POgDwyFc90ectcd7rvPhLvOlNPrwA9Ux3L2Fn7xi19s3759wIAB48aNG2QmzfVipJ86Nkv8hdl5ehnYUCj0gCmxqYEvU2//X9gO28ADUWh0XBJogJvhBCgxhV1CCCGEEFkqc/8uEkIIIYRIpa6uLmng7jeBexi2AQkZa3xkMgwW+EzgvgjGNt/VE0odBV5ogh2g61o2QAzq4Gu4FXwmfJ8E78JncDhsh2UwFzZDf/g5PJDsJayAipEj3xw1Cli2bNmKFSs68D6Ew2HnhHsLduoh00TOzTqQANq2nYGF5nG6D8T1Lp2MDdxPtO3PlcoBn2ly/76r+9dRu77tymqimWzy5MlnnHFGmsC9A99XnQ/ZW5g1axbwjFLFEDC1V9vhFseBli5d6u5BAZ/PZ9t2MBjUJTZNUAHXp/7NE//lCUSgDm50PATsgG+lKPgSQgghhMgWGfpHghBCCCFEGlu2bMEMVzrp4NmCCLyQNtKKNJ9wT5z83B/ywXas6ac3DkElrIJ8sKAG1sJqKIeLoQa+ghPMjamwBi6GS+FCONWx/wpHW0LH0nYgGAzS2tKdiSO0reZuHZt8l8A9o2yFEHhMk/tQONvtEqHdZMJdL86sW/udWv0ZSdqI8uqrr7b3gyxt920oBK/p1NrU+jM6y+fzWZbV1NTkgyjUpc3KP4cd8IlZ2jrkmGR/H5qgBLbDBigCOvGLUQghhBCiZ2XuHwlCCCGEEKk88sgjJATuv1NKJ74xaLX9IQQ6JtSBe1HzR+9Xag/wQxiq4B0A1pt6mc1wuxl+L4fLoBo+N/UI+8MxUApNUAbfgY/gvwA0wjg4Eb4F48ePHz169D777NOZUKmxsbGNo+XO2P2ss85q+yHaGL5n/oS7Dojd3W0mB+7H23YdWOCHQhgAZ7i6/3jOvstPuOfn5+shbtp5LWrlypXx2/oH8MUXX4w3nneF/ubaoV659K0uOoyDnnCvr6/HBOgXpx5vb4DNAPjN55D06qk3QR2sgTOhDIaDJQXuQgghhMhmmftHghBCCCFEGrZt+/1+5z3FEA/c9TBqqj4ZIGgm3BV4ocXqqwdDgallKIOnAPBBBHbCCsiDKOyEz2A1bIMLoAo+hA1QCe/D4fAerIdh0AdC0AvqoQb2uu++urq6IUOGPPXUU515E3bs2EF7Rss7WRidJm3M8MBdR5y7VeAOlJsh9zx4CD5yb896tl3/d5cP3HNzc8eNG/foo4927PvH+UPn8Xgsy0oclnfFH5XqDT6IQSOUw8+efXbBggWjRo3qisNpXq/XsqyampoYNJgAPak1sBNWwm2mYr4argPgc6iCebAVDoU1sKjrzlgIIYQQoutl9B8JQgghhBCpJAbuhaapIB64p9HgmHD3Qp7jodlKDQC/idQ/AaAEgEaTKClohFKYALXwpVk69Sj4EayDXrAWjoM9IR8U1EIUPLB85MiysrJvf/vbnU+of/e739H+LhfbocOHbpG8Z3jgriNO1wN313forgIIgBdiMMNcYXLLLj/hHv8O/81vftOBpyf9EdOXKPSwvOv2hgKzcmktfA2VlZWvvfYa0HWZu76EYC9eHHGs0Zr4c1FirgEAfmiRzl8OpVAC/4QbYEkXnasQQgghRHeRwF0IIYQQWen999//6KNmM7v5jgn3VgOt/U3grifcnR3uR0KhidTL4W4A7gadKK2G+yAMO+DfplXmbNgGf4RvYCsUwSFwIHwCn4KCBvCCBTtg8ODB8+fPj0ajrsxH27bdmf10PnzXoeQZZ5wxZcqUDp9GV6utrWX3m3B3srsgcN8lJ9w7sHpBXKs/TR6Px7btpqamzp1jEncrtQfojq0g7IDLbVuvpKrFM3cXi9GfVMrr9cZisUfM8tG3pHjhd5pfnreYSwI15lrmDVADV8FYidqFEEIIsavImj8ShBBCCCGcPB6P1+t1Tm7mggIbotBqoBUGHRPqwD3H8dAgyIEo1MAXAJSAgiBUwHqwoR42wjSohTVQDV/ARXAYrIJP4QP4BvaD3hCC3tAAjfBr237++eeBSCTiVuDu1mi5i2PvmTb6/eyzz7L7Be7xV2s7/uuW+PfJLhC4d/L7tu0/OEopy7Lq6uo6cJT0vgtFoFcubYAyc/+KFSucCfvMmTNdPOgwUErFYjHdtaWXS018DzdDk/nlGQALGmE73A/AGqgAoBTmmKdIgbsQQgghslpG/5EghBBCCJGKZVl+v9+ZeOY4KmUaE3IfZxw2Qalw80qZ+OqrryjVC5QZ2JwNwF0QgzpYD/dBCCpgGQRhG4yHUjgS1sMG2A/2Ax9Ummr4GohCAKY7ziEcDns8nrFjx3byfdAT7u5WRiQd1H366aeXLVv25ptvvvXWW3/+859b3Ummhe9dsWhqhry0NJznZ7m6Z10pY9t2NBp1dcfdp0uH2ZPSBSyvvvpqB46Y3iDIc3Sjf9r8UZ25T5kyxbKskpISV474glL94ajx40+aOFF/GGhaih+xqGncmgNe03jzFQC/g2nwNZTA9Y7AXQghhBAiq0ngLoQQQoisFI1GfT5fr1694vcEQIEFEahP8ayzzz5b3whBDGwz4R4P3PeCHBOvrwWgBDwQhir4N1hQB+tgHtTCWtgB70EFjIBB8DHkQo7JNxvBBwoqm59JKBRSSvXp06eT74MO3J3vg7viqeL5558/fvz4k046ae3atfX19a+//vqbb7755ptvvv76663uJEPC991twt2piyplgOwK3LttmD3V0TvzCZJUFilVDAGwzSz5zQlHWbFixdq1axsbG3/6059Omzat8wfdD3qBF8KwE1an2KwUQuaXZw7YEIRKuBmAdVAFc+Hkzp+QEEIIIUTG8PX0CQghhBBCdEQwGCwsLCwoKIjf43dUytSmeFZ8ndWgo1LGYwL3Pyj1ffBAI1TANQDMAxsaoNQ8sRwuhi9gO5wEn8CZ8C9Q0A9OhT9Db+hnymQaAbimeQTW1NSklCosLOzk+6AHt53vQ9dxZoVKqauvvvo73/lOcXHxX/7yF6/Xa1lWOBxudWbfuc5qF55r2kNn7A67VFcsmpr5E+6ufI2WLFly1llndX4/OBabddH+UGiy7zrYlGKzgw8+OBKJ5OXlHX744aNGjepMmfvLSh1iLivqBpurko23l5j1UXXFjQ8iZtpdP/oN7AWYe7RfwvsdPjMhhBBCiAwggbsQQgghstIhhxyycePG3Nz/v9ypzzHhvqP5xvFs1+f73//81DefcNcx/D6QZ2bYNwBQAj4zwvkeLIBt8AVsgO3wNeTAD2Ed7A194CU4Cg6HBtgAChTkwke0VF9fr5TKy8vr5PtgWZbH4+n8ftqrRfh+55137r333r169Xrrrbd0UfVJJ52Ufg/OeK4bwnfXK2U6uVxtN2jxal18i/WXWN8Oh8Pu7dgFbn2V49+Tzz77rFvfn7rx3JVdOQ0wyz6HYCesgAuSbeb1eoPB4KRJk3QDVYcz918pdRYUggeaoApWQdLrbPdBI1TDu3A7AEGogmsBGAX7wKlQAnMdz9oCuLq4qxBCCCFEN8voPxKEEEIIIVIJBoNKqZyc/7/cqY7SLQjD4yme5fP5Jih1O1RD1ESQHvDDBKWKzZToDrgMMCGRbiiuh0bYAmdCELbDP2G1WTd1X9gEZ8K7sApyIAJ+8EAt3JMQ2G3dutWtwL3F+9D9bNseOHCg3+8fO3bsiSeeuHr16qqqqtdee+3NN9/861//2pY9dFvnjLtl91k04d5FlTK2bUciEVd33G6quU7uLbE0Rhevd3K3Z5sFPAAAIABJREFUwPTp050XKtzyslJ9wG8WI90GT6W4PODxePTHEeJZ9vz58ztwxGOgLwQgBvVQCrOTXc3a5DilJseCrpvNBmsTira0zbJiqhBCCCGynATuQgghhMhKjY2NHo8nEAjoCPU+pXTgHoM0+Z/X6wUCMMEE7rpSRj83H2yoN5FQCQRMQc1XcDfshFVmBH49/Bx+BtugF1TC67ARfgJDIQYDIQgWXJos/3ryySeBzgflesK9ZwN3IBaL6fjVtu3LL7/87LPPHjNmzEknnbRq1arnn3/+T3/6U9t31XXhu1Iq/hEHt3bo4t66ju34r1vilTKu7rV1KkHn95l+BVRdl9T5o+j+KNcn3PeGfLPORC18nWKzK664QikV7//RmXv//v0XLFhwyimntP1w85XaCwrAY9rY303xg+BcH3WuWdB1J0wHYAmUwjpzWwghhBBiVyKBuxBCCCGyUk1NTSwWy83N1UPi/cELgAWh1M/SgbvXNM+0qJTxmcVR/w7ArSZUqoAvoB42wWoIQQW8A29DDXwF34cNMAX2gXchBxqhN+TDxrSvIhAIpH28dTrp7vx+OikajbboV9Hx5TXXXDNx4sRWi91TcTFd1ZUy7r5RWVEpE4+QuyJwp+urP1yP1+PauAKqWxPueXl5rk+4z1NqD9BX24KwA2ameDm9e/f2eDzOjyOsWLGitLS0b9++P/vZzyZMmNDGIx4KxeCHKNTBRuh3222Jm200K7hWwufgN2XuW8wG2+AcuAVK2v5qhRBCCCGyREb/kSCEEEIIkcptt90WDAb9fn9xcTFQZAL3WELg7gzUvF5v46mneuAqE7gDyrGsjS6NeQpKIMd0JmyA+VAJb8NdZrz9ZzANymE8VMBhsA42wnCIQSX4oBFuSB3n2bbd+fxXN3tkQuCeJgxNP0HcLokRfNtzWKVUfNVcV2TLhDtdUylD10y4d0PC3q5vRY/H48pYuv4YirsT7odCkaOtZUvqLfPz84EW/T+/+c1v1qxZ06tXr2OPPXbSpEmtHu63Sg2CfMBciXx05MhQqOUlzhLwQtRcpLzVjLdXm9UsSuDztGcrhBBCCJHVJHAXQgghRLY69thjvV5vUVERpuLATha4O3k8nr59++oML+zocPeZAgRdGgPMNn3uVfBP2ArfwG/NePvbMBlq4AuohXWwHb4NfSHXrMgKTGot1Ot8/quTbndz5A6fRlsa0tuVeP75z39u4wm0GsTrw+22gTvgbnd4vMO987vKtIQ98fRcGUvXV8XcDdwHQ76Js2vgs9Rb5ubmKqUSV7i944473n///fz8/B/+8IfTpk1Lf7gDobfJ92tgPVx11VVNTU0tNtPF8HoF13chABY0wTb4LQBnQQXMBGAJXOp47kgpcBdCCCFE9pPAXQghhBDZSidoulIm1wTuUWgZ/zgopYqKinR4FgLLdLh7oZdZHPVuKDFTnA1QBsBOmAQbzcD7EvgctsLpsA0Oh6/ga/gUopADw6G8tfO3LKvz+a+ulHG3mrwDXnnllfvvv7+9z2o1CXVxIh7T4e5iqpvhlTItuDuL3oHguDOfTmgjVxL2FtyacNc/7PEW9c57QqliCJjylgq4KfVL1vP1idPowCOPPDJ58uScnJxDDz101qxZqfbwlFIDQa/y3ATb4emRIy3LamhocG72X/CB5Zi495gy9y/NNuWgS6bmAfBwm1+yEEIIIURWyKY/EoQQQgghnGzbtiwrNzd39OjRbQzcPR5PQUGBDs+CZuZXT7gXQDl8Ybb0QwRqYBVcD9sACEEl/A2AalgNtbAGymE47AF5UAuN4IHLW8v7bNvufFCu87seD9w7KVVIOnr0aBcPoZTSJf64FP5m+IR7/ORstytl9I8eza+IpHpLuyJYd56J6wl7C0optwJ327ZdnHAfBoXNy1vS0PP1wWAw1QYXXXSRUuqAAw5IlbnvD73ABxGohq/g0ksvtSyrrq7OuVl8BVf9y/NOsE3/jO56/wv8BzYApmFGCCGEEGIXI4G7EEIIIbKVZVnBYDAQCPTp0ycAygTuznnLFhmcUuqqu+7SI6aNjg53L+RBDcyGEpgLmA6EbVAHa814+0b4KayGrXAWlMOR8Bl8Cf+GKORBownlWz3/zgflkUgkEybcjznmGLd21aX56fPPP59+g7aHxTrBd/0Mu07nW1Hi78a4cePuuecezJvQ4Ty9A/0h3ZCwt+BW4K5/SF2ccB8IuYApb/l7G47e2NiYZptLLrnE4/EccMABV155ZYuH/qBUf8gF23wS6FLb9nq9lmVt27Ytvtn7jgKZ7VBurgfUwnqzTROMgdmwGBbDbXADXAGY7we9LIcQQgghRPaSwF0IIYQQ2SoWix122GE+n6+4uNjvCNzrUmzff+XKA8eOBXSN8X6maV1XyuTCDrOlXi5VT6/PgSq4A8JQCW/BpVANn0I1fA5lcBAMgELoBw3QHx5oQxRoWVZ84LrDdClzjwfujY2NV1111YgRI9zdrZ1Mh3fVmXw8MYIfP378tdde2+Eddr9W37gOjKh3Q+Td/Ql7C0opV1Jyr9dr23aLZUs7bKlSvcFvylvK4fG0b862bdts225R/5JIZ+7Dhw9vsR7Dt8zC1GHYCatBKeXxeCzLeuutt/Q2JdAHvGCZlS3uACAIO+CXALwL603d1joAboS5zRdQ3blzZ5vfBiGEEEKITCSBuxBCCCGyVSwW83q9SqnCwsJLR45UYJmFT1PR05e6VSFiZn6VCdzLzGYe0x7zX2iELWa8fROcBqthC0yArXA0rIL/gh/CsAV8cFHbYkF9/p15BzClzD0euO/YsQNTW9HVkqbwrUaxZ5xxxllnneX6ybQaUvegZm8a2K2dbQdeeyffvZUrVybe2eMJewvKvcAd9ybch5qVoiNQZ8LrNHJzc23bbkuWfckllyxevBiIZ+5/VGoPyAEL6qEMrgbgjDPOmDBhQvyJv3Y0vNfCKrO8aj1sNttUwsFwmdn+XnP/fs3PYcWKFa2epxBCCCFExpLAXQghhBDZKhqNer3eUCiUm5u75557YgL3+GqliWmdF2KgWxXCYOkUErwQgJugBOabXGkT3A618AmEYQe8AWtgJ3wC1fBfKIXvwSCIwZ5QkLZBvgVXAvempiZMlteDnnrqKborcE8lfRD/0ksvvfTSS/GNn3766SVLlrz66qsunkAHClK6VIs4vPOVMi2MGTPm/PPP7+RO3PoEQ5fKtAn3l5UaBPqHTc+Pz2jtfQsEApZl6SS9VfG8e9SoUTcqNRQKzWXIKvg42VP+Br3MCLxueNfFXLruZiYA78I6qARM1K6baybDPPPjs9dee7XlDIUQQgghMpkE7kIIIYTIVpFIxOPxVFRU6FYZBTEIw5LUT/GYicvFth00lTLxwF3zQRiq4G0IQiXshAbYBOdCCZRBAZTCcfAu/AsC0AA2VMPsNieG0WjU4+ns/4zpFQt7PHDXejZwTyWe5Cqlpk+frm+ff/75JSUl48aNc/FAic3XGeXpnrskkOpaSGbG64lcDNx1B1Rn3KTUcOgDPghBDdzThmcFAoF2vdvxzP3HUAwBiJlZ9TkJG78AegReN7xvhX+AH2LQ4PjkUCX8ADYCJmrXnoQZ5razEV4IIYQQIktJ4C6EEEKIbBUKhTweT0FBgVKqsLDw1JEjLdPPnmiCqb8IQTUATRBrPuEO3OnIjIAG2Ax3wA74G2yCKvgIfgIfwkY4EvaBKFSCp3kTcav0BYOOvfY4vXZlhgTuPd5sk4ZOG51vlOspcEFBgTvn6pLvmxt2GwrcOynNm5ktqXoqSilXxtI9Ho8rgfsoGGDWL9UFL4vb8A77fD7Lat+HHFasWHHqypV7QQEoc/XxnWRbthiB/wRuA2Wm3f8FmPH2argBHgLgQigxe9Ap+4EHHujiorJCCCGEED0lc/8oEkIIIYRILxgMKqXy8/PD4XB+fv6AAQNiEEr7FMvERkA96GhHgQf8UAJ+iEINfAq3wTfwPpwAm+EX8DjsAUNhM5wEHmiABqgHYAc82p5sMRwOezyeU0455S9/+UvH3gHNtu3OB/eu8Pv9PX0KKekJ9za+Uaky4vSt5SeccEJHzqwrxU/3pM7tx/mG6GrvI4888phjjtm+ffuFF17YuX1ngc6n5JjAXS+60GFPK/UTKAIPNEElfAJHteGJPp8vFou193Dfg2LzW7EONsL9CduUQF+zPIYegR9rVnNthG3wBACVcBT8B4CVACxy7GQJjITa2lrg3HPPbe95CiGEEEJklIz420wIIYQQogMaGhqUUrm5uUffemsgEGgRuCfNTHWB+yYAKh0T7jpwBxQ0wXbYaG7cATvhH1AOM+B9+A68A+thPXwKEcgDL/ymnZO8oVBIKdW3b99OvAf/e6Uy4d5Gnbwy4ZzafuWVVx588MHsmuBOukip1t4R9Qz5lutqZ555Jq4G7sFgsDM7OcSk2/q64DdwWdu+/bxeb3sD90eUGgR5Zry9AiYmbPPggw8C+Y4R+Dccq7nWwucAvAvroRamQUmy1i9ddlRWVga48nkCIYQQQogeJIG7EEIIIbJVVVUVkJOTkwdAr169Ljn55KRpVrxPJgJ1cIdtAx9B1FEp44e7IQZ1sA7uhHpYBw1QCufBF7AZDoWNkAf7QB/IhVoIpa6ySaOpqcnj8RQWFnbw9RsZMuFu23YmB+56wt3FmFjvMH47A61ynO0bMMHVFh39Tnbgidll8ODBdqfH0jWllGVZjY2NHd7Dn5XaE/IBaIRyaPuavx0I3EdAb/BDBGpgXbJt9KUIPQJfqy8AQABsxwVLoBKOgx0AJP6+mw/A8OHD9T9debeFEEIIIXpQz/9tJoQQQgjRMXfddRcQCAQWQkNDQ15e3pAhQ5rSPiUMNaYTA4iYbmsP+EwH8Q740Kyb+jnshH9BJZwM78J/IBe+BV/BBxCGfIjB9e1PHuvr63UlTnuf2IJt2x6P5/jjj+/kfjovk6eedTTs7pWJ9A0zmcbdaHw3Cdz19bBOjqVresJdr3LcAQ8otR/0Bq+pSv8CHm7z++/xeNoVuD+t1EDIM9H5NpicsM1rr70WDocXACZefwMKwWsqaHRGr8fb681Hi45L2I/umamurgauueYaCdyFEEIIke0kcBdCCCFEdgsEAr+CX95+u9fr7du37wsjR6bZWBcjxEWaV8rEO4jvMgOkv4Ey+AVshM0wCg6GryDK/2PvzuOjqu7/j7/OzGSyJxAggbAGsIiAiq1ardZEK1gXcEPEKqsQQEEWQXABFeuGSlAEEWzd6oYWi1hLtV+orbZatwoqm8gOISwhZJ/l/v44vzu9ySxZZpLMxM/zj3Zy751zz52Z5CHv+5nPoR0kQgeogsbVrBYWFgKJiYmNevb/6MA9LS0tzHHCn0aUV7jzYw3cI75o6rRp0/Qr2eoD94SEBMMwwilL99EV7mvXrm3c08+E9hAPXjgBe+DGer/4o0ePttlsDVqPtDekgR1cUAxb/Q5YsWKFYRiVlZUO85jNMB3iAbO9zJ0AHIZfQTHMgRkw2m+ofbm5wOuvvw4YYXfdEUIIIYRocRK4CyGEECKGGYbhW6jT5XIlJyd36tQpxPFlsAuA65S6H6rBC4AN7HA7FMOHlu7Dx+AzOAb/gg9gK3QAJ3SFg9AbFKTAnEbFjitXrgTi4+Mb8VwrHbgnJyeHOU7404jyCvf6L5pazwEjNVQT0XcDIj7LQYMGYd66iP4XIUz617PRZelWOnBv3HPfVKozJFsWmfhXQ56emZlps9lefvnleh7/ulIdIAEMKIcDMLnmAfoPrw7HvVAGB+BjSAWHWd6u69k/gh3m6qnA+UHO2LNnT9/IZWVlDbk4IYQQQoioI4G7EEIIIWKY1+v1VVVPmz/f6XR26NCh1jHXWcqQT8B/zBJ4J1SZcaQCB6TCAXCZjWX2wX64CfbDpXANZMAOSIctYIdjUAal4V1C+IG71+vVi8eGOU6Yoj9wJ6IV7k8++WSsVLhHlt1uN8xlA1p94O50Og3DePvtt8MfqtGB+1yl+kAbs516MWyHuQ155f/zn/8sWrSongePVqoHpIINquEYfON3zN1KORwO3ZJe97f5EqaA/htUBcfgNgCKYDCcgAkwD67yG+ouAJ577jlg5MiRhmGUlob5N1UIIYQQooVJ4C6EEEKIGKYDd1/qabPZ2rZte+WVVwY7vtjy2AGVlgp3B6TAd/CouVDqFPgSjsNG6Ae7IAf6QydoC1VgAyfMDi9zdDqd4Twd8Hq9NptNAvfQmqKljG6CERMimIvr1/BHErjrOu6IDNXowP1iyDTbqZfBfriqKV/2K6E9OM0WW/vg9poHPPnkk2eBw+HQ4bhuw/UTSIM48EAZ7APM8vYqc7nUgOXtH+Xm+pZLjYuL83q9ejVsIYQQQojYJYG7EEIIIWKYx+Ox9g0/evRoYmJi165dgx1vbeBug/KaLWWSYCu44Dh8BAfgJiiC/nAU/gG7YS98DzY4Ck4Is9OEtSVOo3k8HqVU+MF9mHxVz9FJfw8gmmcYK35UgbuOlcMfZ8KECUAjAvffK9Ud0swlnQ/DV+HPJrh7leoKyebpjsLnNQ8wDMM7dWonsNvtXq/3yJEjh2EtdIIkUFANxbABgCK41FwYYxgcC3LS/fv36wc6cH/ttdea7PqEEEIIIZqD/JNDCCGEEDHM4/HY7fa7L71U/zjq0UeBjIyMoUOHBjz+B8tjA3LMwF2BHRLgMcvCqv+FUtgBZ8A+mAB/g08hDarBARUwM7wwLiKBu46SWzxw14X2LTuHECJe4X7rrbfecMMNkRqtKVj73US2wv3H01JGN04Jf5z09HSllMfjaegTT4V24AQPHIedMLEpX/OzIcM8nQ7K7/M7pi+0gXOHDfN4PPPXrNkBeWbHG4/Z8/0Vs7y9Go7DLLgNDsAqv9FOOeWUd955Rz+22+2NeImEEEIIIaJN9P6jSAghhBCiTi6Xy2azZWRk+LYUFxcnJiZ269ZN/3hdzS7bT1iyKq9l0VQduMebMdNOuA5ugiPwORTDF7AfroQBYINiyAq7eztgGIa1Qr9xoqTC3ev1/thaysRKD3f9oX8jQkHtj6rCXTesD3+cxMREoKFp8rtK6cpxoBwOwnvhTyW4RUplm0uz6mr6v9c8wDCM3yul+9sAp153XSHcbBjdzKJ4/fWgTQAUwRVQAYUwDE7AbXAIHrcMmJube+zY/wrfJXAXQgghROsggbsQQgghYpgO3NPS0nxbOj78sFKqbdu2wYrctcfBDdWg0x1f4K4XCfwKNkE57IN7zMBIb0wxy9sdDVy3MCDroq+N5na7lVLhjxOmKK9w198DiGxEHiuBe2QppQzD0Nf+YwjcI1LhrpdYaFCa/IRSvSAN7FANR2EzFITxgp9yyimhDxhgFqq7oQR2wlOWvfq97mlOSS/fuhmuUyrV7PleAYdgoVne7oITsAVmwxFYB1vhU8uY/fv3f+WVV3w/2mw2t9vd6AsUQgghhIgS0fuPIiGEEEKIOlVVVdlstqSkJGVpmlFcXJyUlOQrcg9Igavmoql2cJr1mFfDjVAMn0MJbIGDcC70gs/hBByHg5GYf0SqwnWKF35rmjBFeeAe8Qr32MqaZdHUxolU4K6/gNKgwP1saA8J4IUTsAduaOyrffnll0+fPr2kpCTEMc8q1dGsptdttX5j2avf6DeUagfx4DWXb12TmzsW2kIcKCiB7QAUwdVgwK9gJ3hhHwyGM2EgTAYgNze3sLDQOgcJ3IUQQgjROrRwJZQQQgghRDgqKiqUUrpdA2aq+NBDDz322GMdOnS45ppraoXZSqnc3Fx9ZCWUgwcMs8LdacbrWWappoIiuBg+AAdshXZgh94wPhJRo+5BH+YgLpcrSirco7mljI5NY6KlTF5eXnx8fGJiYkJCgtPpVEp5vV7DMPbu3et/8Pr165tiDiHoHu5S4d4g+n5Y/QP3N5Q6G1JAmX+LPoELGnv2hIQEwzBqpdu19IYUcJhtYb73O2C+UpdACtigAo7Cl9Bhw4YsM6avgDK4Gz6CT6A/HIfFcBHsgl/CMjgBSbDUd5lvvGE9hVLK5XI19iqFEEIIIaKFBO5CCCGEiGEnTpxQSul2DZrO/44cOdKuXbucnJzdloPfMAyl1IYNGwAPPAgXgdsM3G3ghKOwA47A2bAdxsLHAJwOx6EcMqEYQgVXDRGpwB1o8cDd4/HEx8e37BxC0NFwBCNyX+jsLy8vr3PnzhkZGampqcnJyTo6j4+Pj4uLczgcdpOtJt/07rrrLt/jEBM2DOOBBx7Iy8sLdsCTfrOqdUDjwno9pR9JhbvNZotIBKx/PetZvj1TqVFm2bgbiuF7mB3GSx0XF+f1ev/6178GO2C1UqdAMmB+y2esZa9+l38GbS3rqe6GLsuXb87P9zW9OQbfwtewA66GEjgI/4QzYQd4oQuUwL/NYdu0aWOdw5QpUwYPHlxdXd3oyxRCCCGEiBISuAshhBAihumaTf+c98EHH1y4cGFGRsahm26qfOkl/yfmwDD4G5xtbrFDHOyH66AfbIev4WfwsZnI74FkOATV8GiEcka32229W9A4VVVV0VDhrlvJt+wcQohshfu4ceMGDx6slHrqqaeseXpcXJzdbp87d67NZvO9GoZhGIahq9S9Jo/HU1VV5Xa73W63y+XyWPg2ulwunT/q0az/q1166aVOp1OfV0f5+n9tNtvSpb4yYowgLWVChPVawETeWuEekervaGaz2SJY4V7PwP1SyIJEMKAU9sPQ8P7g6MA92N4VSp0F6eCAaiiB5Za9Om1/UqlzIQkUVMJhWJGbe63Lhdlh5gTshZlm9/ZT4BhshEQ4BB9a/orqZly5ubmrV6+2TiMjI0MpVVVVFc6VCiGEEEJEAwnchRBCCBHDnn766bVr1+r+yD46IZo1a9YTTzzRpUuXf+XmdtiwgSDFwi5LhbsDvoCB0AP2QCrshdFmb+JyOAKd4JvIzd/lciUnJ4c5iI6oWrydi8fjieYe7o1YNHXIkCE9e/Zs3759enp6SkpKYmKir0r9+uuvV0qVl5effPLJXq9X5+PV1dXHjx+vrKwsKysrLi7evn27dUHIZjZs2LCNNS+2VnpeZ9oe+pjhw4fzI6hwV0o1qPF6MHa73TCM+gTuzymVC6lghwo4Al9b7gs2Tlxc3JIlS6655hr/XXcqdQXozuwec63UVeZe3/vbF9It66nugNtvv33btm2Pmk1vDsNfzfL2q+AY7IPucCGcD5hjzoNgNxiTk5MNw5DAXQghhBCtgATuQgghhIhthmFYA3dr/lddXZ2env6Tn/zk2IYNtZ41zHygW8rYwAZx5qJ/feDvkA+vwU8B2A+J0A4q4PeRCxmrq6uVUnl5eeF04i4rKyMKAvcor3AP3VLm0ksv7du3b1ZWli9bdzqdt9xyi76FoAvSXS5XVVVVcXHxsWPHCgsLzzjjDKXUxRdf3KyX0Vj+H9k6P3KhE3lfSxnrYc3fUL6pRarCXQfu9elOcxpkQLwZbe+MxHIRzz33XLBduZZqer0O6hBzly9tf16pgeYx5VAIf8jNvR2qq6vjwAXFsA1Wwhj4AfrAEbgBpsNoGGZJ8O/XJ83N9f+o6KU4KioqwrxYIYQQQogWJ4G7EEIIIWKbYRi6XYO/L+bO/fnjj3fq1Gn3JZe89957wSrcvWA3K9xvgJ7wNZwDB+E6eBauh3I4Bg44GtHJV1VV2Wy2Dh06hDPIkSNHDMNo8cBdr93asnMIwdpSZvjw4SeddFJmZqaO151O55QpU3zZenV1dWVl5ZEjR44cObJx48Y//OEPAQd8/fXXo/l6gTAnFyw91wm7Ukq3yvHfVZ9BYkUEK9wxl1sI4R2lzjB7qZfDQfgABoV/+iDeUGoApJrroBbB54EO62lW3FdDMWyG66+/Xlej65j+AEyEjfA9DIEjcDH8AX4DWNJ2bSS8EOhTER8fbxiGvn0ohBBCCBHTJHAXQgghRGzzer0B25c/rhRQWVmZnp7er1+/YE+vrtlS5iWYCltgF/QAF1wK28EJbeAEFES0h0ZlZaVSKjU1NZxBnn322bVr10ZJ4H7xxRe///77LTuTWvLy8s4888zOnTsDSqk1a9aMGjVKNyLXRetFRUWHDx+ePXt2g4aNlW4qEZ/lyJEjk5OTS0pKAK/X64vUn3zyyQ4dOqSmpsbHxz/44IN6Y60IPubyd6VUPRuvh6Yr3EOvCLpQqcvNXupVcAy2RG65CH9PKfULaAMOS5X6THOv7+O9SqlTzEbtugT+X/Brp9MwjMrKyio4CkNhGxyCH6A3nAXA5iDnfRFeCLTd6XR6vV79uRJCCCGEiGkSuAshhBAittUK3H3pVCYAX9111zlPPNGhQ4exY8cGfHqV+RQduCfAYegPZ8BW+Arc0BeOgwPKIz350tJSpVT4bdyjocJdr92alpbWstMA8vLyzjrrrOzs7LZt2yYnJ8+cOdNms23ZsgWw2WxFRUUHDx686667wjyLb+HQ6LRCqXPMx8EWTW0cXduur91612Hq1Km+x7rTzkMPPdS1a9c2bdokJCToz+f777+ve9wfPXp0z549//73v6M8go9Uhbu+wRM6cD8HOkACeKAU9sL1TZa2j1FqLLS3LHm6G24w9/re1vuVGgQpZgn8UfgCxsEhh8MwjIqKCt30BnMl1cvhJABeh+GBzvs4zAhyUXpl18OHD0fyOoUQQgghWoIE7kIIIYSIbR6PJ2DW7Mt9/zVjxi8KCrp16zZ48OB169bVOqwSdIdmBXZIhV2gA7Ye0A2KQEEalMMjkc6/CgsLlVK6eXGYWnzBUr3aYVJSUoucfcaMGd26dcvIyPAl7DrfLCsr27179/Tp07/77jtAKTVu3LhInTSaA/e+EFajouCCBe7+5s6da/1x8uTJAwcObNeuXdu2bTMzM/v27XvhhReuWbOmpKSkqKjg0CKPAAAgAElEQVRo586dixcvbpopN15BQQEwZcqUMMfRH8gQK4K+ptQ5kGKuQXoIPjWXGw1TwF7810InSAYFZXAQfH8Zre/pGdAW4sx7ALvhJ5AFfUeO/GL16gmLFu2EkWZ5+w4Yaj7x+yCTORF8ng6Hw+v1rl69usFXKIQQQggRZSRwF0IIIURsc7vdcXFxNw4Z8uKaNdbwz5r7lpWVpaen9+/f3z9wLzcDd13hngQfgYLLYDO4IAdK4LDZWDmyVqxY8c4778THx4c5jmEYLR64l5WVKaUSEhKa53Q6Rhw+fHh6enpiYuKFF15oGIbH4yktLdUJe63jdZ1yBCPyaG4p86xSeZAIcVAGx+FruCJCg+vXUP9vgxYUXbp0aa0ty5cvz8zMzMzM7Ny582mnnbZu3bry8vKjR4/u27fv008/Xbt2bYSm3PL04quVlZUB905WKt+Mtt1QDN/DzCb7gL2k1EBIAztUwhHYCAVAzU/1EqXOgSRQUAlF8DZMNfu5n3bVVQfh14BZ3u77lXsLrgly6nthfpBddrs9Il8mEEIIIYRocRK4CyGEECK2ud3u+Pj4tm3btoGNltYZ1qJxX2OZMWPG/P73vx8GRbm5HTZsALrXrHBPhKuhBH6AJNgLQDEkw51Nln+FH7h7vV6bzTZo0KC//vWvEZlSIxQVFRGJawlh9OjRffv2zczMfPHFF/WW7Ozs8vLy/fv3b9y4cdmyZSGe2xSBe9RWuPeFNHCAG07Afrgrcp9eX4W7/6KpDZWfn+97PGvWrH79+rVr16579+45OTnnnHPOn/70p+Li4gMHDoRYurapzZgxY+PGjeGPoyvcy8sDd6W6GrIgEXxrkA6J9F+bIUOG6AcPK3WRGe67zHB/EuB3D+lks6G8G0pgB9wEGZYuNOcClvJ2n51B5vAcjA1+XXa7vc5FZYUQQgghYoIE7kIIIYSIbdXV1ampqXrd0QHwmLm9Vu47Y8aMgoKCHj16XHLJJfzlLzptB6otFe52SIC9sBFOg2roClXghCatHnc6nWGOoCvcw1x8NUwvvfRSRKr1axkxYsSAAQOysrLS0tKuvvpqzOicBq7A2RSBe4t/qyCgZ5XKhURQoNe0jGB5OzVbyjSowj20hQsXWn9cunRpp06dsrOzu3bt+rOf/eydd94pLi7ev3//F1988frrr0fqpPURkRRY94I/fvy4/65nlbrQrDevMOvNzwr/lBYzZsz49ttv9eOzoYMZ7pfCPrg20FNeVOo0SAADyqEQ3ofZZheaCjgNgGF+5e1/sjSWqWV7yEnabLaIrE8rhBBCCNHiJHAXQgghRGyrrKy02Wz+rcP9M+yqqqo2bdqcfvrp3//lL//baHZs1xXu8fAJDIY4OAJOKIEk2NZk8zcMIy4uLsxBdIV7S/VPtwr/WoBBgwadd955nTp1Sk9Pv/766202m8vlKikp2bx58z333ANcddVVDR1TB+4RjMijtqVMX0thcsTL22lID/dwTJ482fd40aJFXbt2zczMzM7OHjhw4Ntvv3306NFdu3Z9+OGHzbDmaqQCd8Mw3nvvPf9dp0M7iDcLyXfBuIi+qsOGDcNcYuFtpfqaneLL4RB8bB5W663sYd4DqIZi+A4mQRtwgAt+Yh72oF95+x4YBqsCzeTBkNelf80bdYlCCCGEENFFAnchhBBCxLby8nLruqOfmNutua9Of+64446CgoLMzMzSW28tXLJE76oEDxhm4O6E3rAN4qEX/B+cClWwtMmCxYgE7joAjcjiq2EK51qmTp3aq1evdu3aTZw4UTd0Li0t/f7772utvdk4ung2sk1gorClzHKze7uvvH1jRMvbAaWU1+uNeIV7CNaO/E899VSXLl26du3avXv3c84558033ywqKtqyZYte3bQpVFdXhz+IftH8t69R6gxzwYkKKIT/g1+Ffz4L/StZWVm5UqkzzZsx+rPxHcwD/NL2N5U6xWwdUwb7oRt0gHgwIMc8bCecqFne/i5cBsAsqPGFBXi+rnkqpSRwF0IIIUTrIIG7EEIIIWJbSUkJUGutzjlKjQ108LRp03RgVzJyZMWLLwLlNSvcnbAdboQS2AL9oQoqmnL+EQncPR6P0+ls0v7p9dTQa9HF7NnZ2WlpaXrh04qKil27dvmvehomneW1+kVTT/Erb4/42gO+RVPD7+HeCFOmTPE9fu6557Kysnr37t27d+81a9bosvf584Otytlg+fn5l19+ua4ND1PAwP0hpYZCG4iDKjgGW+oqA28E/SupHnqoX81S+p0wBvD7JD+g1K/M1jF6SdXPYAikgA26WI50mb3dffaZD2ql7dT1JaHp06dfdNFFEbm3IYQQQgjR4iRwF0IIIURsW7Bgwdq1a2u1Qe8N9iDH79+/Pzs7u3fv3p9cdtm77777S0uFu81sRPMyDIAkOA6JcH9Tpoper9fhCPc/yXTFcfi94MNkGEY9r2XkyJEDBgzIzMycMGFCXFycy+U6fvz41q1bH3nkkSaam8vliuwyp1G4aOozSl3YxOXtmFG7bs7TPBXuwYwbN04/mD9/fr9+/Tp16tSlS5f33nvv+PHj+/fv//LLL1966aVwxk9LS9N3gMKfqu7hXmvjedABEsALpbAXhjfBn5rCwsKMjIwLIMsspS+H/aAXUfW/ZTIQ2oITPFAKe+AC865AF0u7mBUrVlSOH28tb/8L6Jf7Abjbbxof5eaGmGSbNm0w+94IIYQQQsQ6CdyFEEIIEfMMw6iVNbcJHrhvf+ihNo880qZNm1NPPfXdd9/9EH5haSnjK8/eCKcDgXrBR5bX67Xbg022vjweTzQE7kDowH3SpEl9+vRp37790KFDlVK6mH3mzJnNMDGd5bXuCvdmKG/XfNfesoG7z3333ed7/Pzzz3fo0OHUU0/t37//m2++efDgwa+//vrZZ59txLC6R1N5eXmY0xs9evS1115b67V6RalzIRVsUA5F8BmcF+aZAklISKgcOvQk81wVUAS5QKDP8FKlfm7m8pVQBG/DXZBo1rbrtH0Y5I4fX6t7+wH4AwB3wz2woCGTTE5OBiorKxt8eUIIIYQQ0UcCdyGEEEK0BrWy5pQggfswKMrN/eyOO35RUNCxY8dp06btKyhwWyrcrf1QvgLgjSbOVT0eT6QC94gsWBqOYBXu06ZN6927d0ZGxsUXX2wYRnl5+datWyPSmb3+SktLiXTgHlUV7rXK2481TXk7zbVoaqONHj1aP3jyySe7devWp0+fk0466a233iosLNy4ceOyZcvqP1R8fLxhGPv27av70JAyMjKoeXNijlLXQ1uIAxcUww6Y1jQvpm3atN5miboLskMe3AfSzHs2x2EHTIVU6F7zsIV+3dvfh3cBKIBpfml7bsjydiAhISFSXyYQQgghhGhxErgLIYQQIuZ5vd5aWXMi2EI+5aNp0/KWLu3WrVvlxInuZ54xwAa2lvhvo4gE7m63OxoCd8B6LZMmTTr55JPbtWt33nnnAaWlpVu2bLEWIzen559/fu3ata24wr1Wefu+Jitv9wXuhmFESYV7QFOnTtUPnnjiiZycnN69e/fq1euPf/xjYWHhpk2bnn766TpHcDqdBQUF69evD3MmSUlJtVrKXGZp8FIGB+Dypnmzxik1GtpDArQF4D34NRDoA/ySUqdBIhhQDoXwPpwHvWoettOve/vn8B0UwDtwBTwG1XBnQ+ap722UlZU1+AqFEEIIIaKPBO5CCCGEiHnWNui640E8BAtWO2zYoB98++23/fr169mzp8tS4V7rv42aurwdcLvdtVZ8bdwgNHzB0ogzDMNut48ePVr3Z7/ooosMwzhx4sQ333zz0EMPtezctNZa4b6sucrbNd+1R3Pg7jNjxgz9YOHChTp2z8nJWbVq1b59+/7973+/9tprwZ745z//OSIT0L/gvsD9b0r1gXRzVdKjsAnOjMiZ/FwNv6y5JVjafr9SF0Ea2KEKiuE7uANOqXnYToiD0bm50zds8JW3H4fNABwA4PaaT6mzvB1wOp2GYRQXF9d5pBBCCCFE9Atd+yWEEEIIEQP826DHB/mvnCJL9LNkyZLCwsLU1NRq0OFTrZYyzcPlcun1J8McRCkV/uKr4Rg0aJAO3C+77LJu3bp5PJ5vvvlm2LBhY8eOjZK0PeKLpkZqqPD1s5S3lzZleTtmhbt+HBOBu8+sWbOuuuqqQYMGbdq0KS4u7pRTThk5cuQrr7ySl5eXl5fXdOfVDa904P6uUr3MVUldcAx+gDFN9l2EywNtD/jRPdcsurfBLNgHP4Wf+R0WB254fMOGl80t30AZPAD/gE/gGVgCtzVwqg6Hw+v1HjhwoIHPE0IIIYSIRhK4CyGEECLm6a4s1jrKYLm5r7xd++bee0tKSqpAp4Y2sDf7fx5VV1fbbLYw877q6mrqWrC06cydO3f58uVjxoxxuVx2u3379u3Dhg0bPXr0/PnzW2Q+IbTKCvelSumoVJe3H4WNTXm6WGkpE8Ltt99+5ZVXDho0aM+ePWlpaXrjCy+80ESxuw7c3W73W0r1gXYQD26zdfvFTZa2B9weMG1/W6nOkGIW3c+A18D/tdgLBpTCXvO7RMBh+A8Au+A5mAh/h5SQp/PncDg8Hs+6devqc7AQQgghRJSTljJCCCGEiHlut9vpdLZt29a3xWFpKeMLhoYFeu5nd9zRy2wpo8AB6XAMaJZ+MkB1dbVSyjr5RqiqqqJm//RmMHbs2AEDBrRv337gwIEul6uwsLBLly52u72ZV0NtKdGTNTdnebvm9XpjqKVMCPn5+cDll1+el5f3/PPPA77MPfzW7T76TpjH4+kHHSABPFACu+CXUZC2v6TUqeZaqVVwBL6x/Nn02Q0KyuEQvG9u/Ay+hvvN1vArIR7WgCvQ2UeNGvXCCy8EnJjD4dB9sYQQQgghWgEJ3IUQQggR81wuV0JCgi+zfkqpX9f1lFWW/L3cUuHugGQzcG8eFRUVNpvNV2bb6EFoxgr3++67r2vXroMHDwZKSko+++yzxYsXA6tWrQq/PU7TaZUtZZ5W6leW7u26IXjTdW/H0lImdivc/el43VrhHsFqd4fDYRiG2+3WX0TwFYn/BX4eqXNYNChtX6zUOWaLGzcchx1wc6CnO8wP2DewBIBNsAPGmo/XwBAAnoGJgc7YsWPHYHO22WzWRWWFEEIIIWKaBO5CCCGEiHlVVVXp6ekpKf+/jUE7cJht2eu0CiZbAvf37rhj7yOPNNE8AyotLQWSk5PDGeTEiRM0fYX7qFGjTj/99Hbt2vXp06eiomLHjh21itm9Xm80B+60xpYy/SHd7Kyty9vnNv2dgNhaNLX+fFXt/sl7OAXv+k6Yy+XSv+RlsB/+Cfc2wTvVoLT9dqWugA6QCAacgD1wbaCn7wMPnIBdcKu58Qh8CsCrMALuhyegCCoDjXDeeefFxcVdc801b731lv9em80mFe5CCCGEaDWi+l9EQgghhBD1UVlZabPZkpKS9I+pDflPnGFQDV4wYO0zz3Tt2rXHrFk0Vz8ZoKioSCnlm3zjLFq0iKYM3OfMmbN8+fLBgwdnZWWVlZWtXr16zJgx/q1j/FevjTZKqUhVLkdDhfsSpTr6lbc3Neuiqa21Knn9+vW1Eva8vLw77rijEUPdoZTdbjcMw+Vy6ZYshfAZTG3GtN26voXVRdAJ9J+ecjgIfw102B4AyuAAXGdu/Ay2wwOwDkbAizAPZsBDcASo+Qtyyy23LFiwwOFwZGdnB5yJzWZzuQL2oRFCCCGEiD1S4S6EEEKImFdWVqaUSkhI0D8mgy1khfuqmv3cq0CnhkMmTnxn+fJu3bp5Z85sutnWsnz58jVr1sTHx4c5jmEYEa8uz8vLu+SSS7Kysk4//fTq6uq9e/fOnj0bmDRpUsDjfa29o5Ouy47UDKPhYgfULG/f3yzl7ZivZGtqKRPC+vXrly9fnp2dbbfbX3vttZ07d86ZM6f+T78cfrDbDcO46957K6AIvoYxUZC2r1KqL6SCHfTEvoQnAh1ph0o4Al+aW3QzmXEAfAfASMvxC2o+feLEifrGjNfrDdE7S6/8LIQQQgjRCkiFuxBCCCFi3rFjxwBf4J4ANrNLjE/AFVP1woAVZuCu4Kf5+U6ns3v37jNmzGiy+damlAo/cCeiFe4jR45ctGjRmDFjunTp4nK5Pv3005EjR+q0PQSPxxPlLWWAiLzUREGFu395+8ZmOa9SynezobVWuGuTJk0aM2YMkJ+ff8UVV3z55Zfx8fGnnXbaH//4x6effvrGG2+sc4QPlMqBa0eNunToUL0e6XdwXTOm7QEDdGClUr2gDcRBNRyDrXBboCP3gwuK4Xvw3Wc4DP8C4HWY5veUkTV/O+x2u24XU1pampiY6P8Vk9tvv10pJYG7EEIIIVoNqXAXQgghRMxbuHDh+eef7wtSnaDMDD00ncKXgQcMUGAHT35+wrPP5uTkTJs2raCgoOmm7WMYRvRUuE+dOrVPnz6DBg0yDOPo0aO33RYwhQvM4/FEKs5uCrouOy4uLiKjtXhxd/8WKm/HjFNbfYW7Usp6R+Guu+7SD1599dWcnJwuXbqsXLnyq6++WrJkScCnv6tUP3M9Uhccg21wRTOm7a/C8kDl7Q8pdQG0g3jwQAnsgoB3D/aCF8pgn6WG/T/wX3gIgOGBnvUivGD50Re4P/zwwwEbOqWnpwNVVVWBL08IIYQQItZEewmSEEIIIUQ9+YJUHbjXPwg8aqlwt4ETNm3alJycfNJJJ81srt4y4afAOnAPp0H5nXfeuXz58rPPPjslJWX//v033XRTg9J2wOPxtHiXldAiGLi37KKpT5nl7TRvebvmu/bWXeFus9kCXuCIESMuvfTSQ4cOZWVlDR48+Pnnn581a1atY95Sqo8ZaruhGHbAxc2Ytv8Frg9yurMgy1woVd+qCXgbYDfYoBIOwYeW7fvhZgAC3md43O/LH/792Wv9mdIrWFRWBlxsVQghhBAi9kjgLoQQQojWwDAMp9OpH8dZAvdVfkeu8msv8wm4LRXucbB48eKtW7cmJib26tWrzj4qEZl8+Cmw1+u12Wy+vjoNMm/evBUrVvTr18/pdG7fvn3UqFGNu2q32x3NLWV0DuhwROYrni1b3D3A7Afiafbydt1SBjAMo3UH7rUq3GsZP378FVdcsWvXroyMjAsuuODll1+eN2+e3vWSUv2gAySYJeS74XejRjXFDANu/wjeD/KUd5TqDCmWMP3jIOM4zG4zm2GhuXEDfGw+vjXQ+P8ONMnQC6ImJCQYhlFeXh7iGCGEEEKIGBK9/yISQgghhKg/wzB8Qar+vzqDQGsW7wvcbaCT74cffvjzzz+Pj4/PycmZO3duxCds5fV6I1XhnpKS0qBn3XvvvStWrDjppJO8Xu8XX3wxZsyY+fPnN3oObrc7+ivcW0Hg/qRfefum5p2Ar4T5xxy4a7feeuuQIUO+++67lJSUs88++9VXX31GqdMhC5LMEvK98B5EPFAO9rv2FWyExwLdgHlFqe6QBnbQPeU3wT2BBtkHHjgBu2CiufE/sA0eCT6lYfCG33mt/dnXr18PDBw40HpAfHy8YRilpaXBBxZCCCGEiCUSuAshhBCiNfB6vb4gVa8cas3JAq6Yat1oDdx9cezTTz89btw4vYaqr31zU7DeLWg0XeGumzPUx3333bdy5cpevXp5vd5PPvkkPz//8ccfD3MOUR6460YokQrcW7ClzKlm93Zfefuc5l3BVS+aahiG7s3dWiml6nmBs2bNuvLKKz/99NM9N9xwFnSCZADKYD98BP3eeOP48eORnVvA7Zvhe8gP9HlYotRJZk953eVmO4wPdOQeAMrhIFxr2b4PxoecVV+/LRMmTMCvP3tSUpK1q0xcXJzX69VrXwshhBBCtAISuAshhBCiNfB4PNbA3YAGBYEu0LGTr8LdZ9y4cQ6Ho3v37vPmzQunQ3oIHo/HbreHOYjOQOvTUmbBggUrV67s2bOn2+3++OOP8/Pzg6362FDV1dVKqSZ6lcKn67LDf6m1lqpwX6xUR9D3VVqkvF1H7fpxqw/cG1TCX3H//RdAF0gFG1RAIXwOXVev9nq969ati+DEAm7/AfbB1YEy9LuUOg3aQwJ44QTsgWFBbhr56t//a9m4Hq4MOat34T6/U3fo0AGoqKiwbnQ6ndnZ2b4fdeD+hz/8IeTwQgghhBAxQwJ3IYQQQrQGbrfbbrfn5uZiBu4BczJfA/davd2rA1W4+9x88802m6179+4XXnjhRRddFOm54/V6IxK422y2+Pj4EMfcc889y5cv79q1q8vl+vDDDydOnLhs2bIwz2ulA/fU1NQIjhlBuiY91gP3Fi9v58dU4R66+XgtV0A3s2FLJRTBRnghN9fX9T5Sswq4fZ/ZkN3f+vXrfwkdLXX3B2BtkKH2gxtKYAfcbtm+ra6J7Qu0UTe5srbTWb9+vc1my8jI8G1xOBytuzeREEIIIX5sJHAXQgghRGvgdruHDx++YcMGwAYGBMvJrgu0scpcZFUH7tf55VA333wz0KVLl0GDBg0bFrBFTeM988wz4afAHo9HKeVbObaWO+64Y9myZb169fJ4PP/85z8nTZq0YsWKMM/or7KyUimVnJwc8ZEjKKYD9wKlOrVoebvmWzS1QXl0LKr/HYUPlOoBbcBhlod/B0tzczGXmY3INz+Cpe2FcBS+g7sD3X35o1Jdzbr7SjgMX8DTgcYZBgaUwT640dJ3azVMCDmxvwbpTpOUlGQYxokTJ6wbvV6v9a+E3W6XwF0IIYQQrYkE7kIIIYRoDW666SbfYxUycC8B/Lq6V1payjgg4MKj48aNc7lcHTt2PPfcc8eOHRv+nK3Cj7+DBe7Tp09/+umn+/bta7PZ/vvf/06ePHnlypVhniuYsrIyIDExsYnGD1NkK9z1Cx6RoervtCgob8eyaKpvMczWqp53FN5VqjdkQBy44Bhsg8sNY/369evXr/dVuOfl5YUTuwf7vB2GEtgJo/w+DGPHjh25YUMOpIMDquEYbIZpgT42S2ExVEAR/AswvxK0Hq6qa277g2zXC6LW6s9eVlbmdDqvvvpq/aPNZmvdX5UQQgghxI+NBO5CCCGEaG0UeC2Be61s/TB083tKhVnhrsAeJHAHJkyYUFpampGRMXDgwClTpkRsxpGg89+4uP+1oJ8wYcKTTz552mmnOZ3OrVu35ufnL1q0qEnncODAAaVU6LY2Lagperg3Z8P6gpbu3u7jaynTUn11mk197ii8qVQfaAfx5mKkP8CvzET72muvxfJ9iClTpixbtuyGG25o6EyCpe1HzaVZLw+UoReOHNnXnJsHSuAHuKlm63bfX8grwQXFsAUeMDeugq31mJ5/1q85nU6v1/vqq6/WmPPRo3a7vW3btvpHCdyFEEII0cpI4C6EEEKI1kaBB4LlZHtht9/G7JotZUJUaN9yyy2HDx9OT08/5ZRTZs+eHYHpRohOrHTgnpeX9+ijj5511lkJCQm7du0aP378gw8+2AxzeO2114BoDtyVUjZbZP4DWDfBsN7haGqnQpsoKG+3diRfv35980+gOdUZuL+kVH/oAAlmor0bzre8L9nZ2XrxVV3tXlRUlJ2dffXVVxcUFNT/bk2wtP2YpUWMv3ylfgqZkAgGlMI+GOq3UKpe0GKuZTHV8Za9f4T8es4ykLi4OP92MStWrLD2nmpor3whhBBCiCgngbsQQgghYl6tbiwdwQtVfiujAsPgYKDt1eYiq7rCPXRLlJkzZ+7cuTMpKemkk06aP39+pGqcwxzH7XYrpRwOx7333jtixIiMjIzDhw9PmDBh/vz5EZle/QXrI9/imqLCvdkC90XR0b1d8/Vwb7kpNLmRI0cCVVVVIY5ZptTpkAVJlkT7LzWP0bGyL3TOz88fOnRoWVlZTk7O+PHjFyxYUOdMQqTtuiB9a5AWMUMgG5JBQTkUwj+CjPY8TDGPsXaP+T+4us75hfwkOByOgF+D8Hq9CQkJwG9+8xsJ3IUQQgjRykjgLoQQQoiYt8tviwf8czJfzv46DABrKlxZs6VMnRXa8+bNGzVqVEJCQs+ePX/9619fd13ApViblS7FjYuL69atW0VFxc033zxnzpwWmUlzFn03SGQr3K1fKWgGp5kLcrZsebvmaynTUhNoBhkZGUBlZWWwAx5R6mzoBLpOuxwOwD9hfs2XRS9pUKvKe9SoUUOHDjUMo3///r/73e+mTp0a7CwhOsnogvTdcH2gN+I1pbpBGtjNRVw3wn2BhvozDDLv4my0bH8StpiPrwfg7mCzDM7hcARsF+NyuZxO5+DBgzt37qyUCn1jQwghhBAitkjgLoQQQoiYt8Avb3JDefDjj8AeyISB5pYKs8LdVr/AXbvppps8Hk92dvb5558/efLkhk7b57zzzmv0c7W8vLzq6mq9IuiXX3552223hTlgOKI5cAci2FJGf6UgIqOF9oRSnSARlBmMftMMZw3u73//e4uevzkkJSUZhlFeHvgPySylcqELpIINKqAQPoMpfn+L9Bc+/NuqAL/5zW++/vrrtLS0jRs3BlxPNVjaXgxxMBEOwgeBDnhGqZOgLcSZbeW3w8QgV7rJ0t59mrlxNXSBSQCsgNfgD/AAjPF7euj7Lna7PeC1l5WVORyOzMzMtLQ06vomgRBCCCFEbJHAXQghhBCtU4gQaD0UQ2f40txyAjxggAJbvQN3YOzYsSUlJRkZGaeffvqdd97ZuKkWFRVNnz594MCBdR8aiM7pdCmuw+F46qmnGjdOpDRPBt0ITVHhHqkGNaGd7te9/Y6Wqy73Lb3buivcdcOTkpKSgHuHgK9+vBKK4GsYHegFCRG4A/Pnz9erqmq+zF0pFSJt1ye9FzbBQr+T3qfUAGgHCeA128pfF+TNGga/MZdd3btwoW/7RrOZzLswHv4Gn8Nz8Au41/L0Oj8DNqgFPPgAACAASURBVJstYLuYgoICIDU1Vd/YqKioCD2OEEIIIUQMkcBdCCGEEK1T6BzoJ7AZToIcAA5YAnc7NKhCe/Lkybt379Yt3R988MFLL720oVN95plnMFtPNIi1KrasrIzmyn9DMAwjmgN3IlfhrmPEZrjYx6OsvN2ndQfu8fHxhmGsWbPGf9cHSvUwO/xUwxH4DoYFeTX0Fz4CtlXx0eup6sd5eXnBonYsaXsRbIQJgU56rqWtfBkcgFeDFMv/DRaby67+B2bNmqW3vw7tzWMOwjdwEQyCbEiBBv2JCdGf3TAMp9OZkJAQ4psEQgghhBCxSAJ3IYQQQrRCAaOvYYDZyX0rZEIVHAdgvmHoPExXuDd00c+5c+feeOONNputa9euF1988bhx4xox5/j4+hfWQ81FVtevX3/48GGiIHAnuivciXTg3gwveK3y9gMtWt7uEyIUbh2cTmfAOwrvKtUbMiAOXHAUtsHlIVcNpa7AXdOZ+4YNG4IdUGw2ZD8MG2F4oJO+rVQXSAGbmct/Bi8FGu1D+LNl2dV55vZ3wAG6Q9YqGAcH4L9wDHbDN3CPeWR97rgopfTyEv68Xm9cXJy+sXHixIk6hxJCCCGEiBUSuAshhBCiFeoXvMJ9mPlgGySDr6rcbT6loRXuPqNGjaqsrOzYsePPf/7zRrSX0a0n6sNa2O6rjV25cqVhGC0euEd5hXsEW8qUl5cXFBTs2bMnIqMF85hS2TXL2zc16fkaonVXuDscDv8LfFOpPtAO4sEDx+EH+FXI10GPU5/AneBp+05L2l4Em4K0iHlRqRxIN0vvj8J3cHugAf8FH0PmI4+Uwl4Ya9mVBNeYj/Vfy89gD3SAfGjo73aIBVE9Hk9cXFxcXJzX6z1y5EgDBxZCCCGEiF4SuAshhBCiNfjab4uOo4b5bbf6DvbBG4aBGbjrCvdGL/o5fvz4Q4cOpaSknHzyyQsXLhw+fHg9n6i7K9R52JAhQxaafZatbSh8oiFwb/E5BBPZCveXX345IuOENhDSo6+8/YwzzqC1B+5xcXG1LvBFpfpDB0g0e6PvgvPrehH0r0OwtipWwb40sBPSLbXt38K1gU5aoNTJkAFOy82A0YEG/Ay+BPvChYZhHIJ1ll3zYLP5eCoAz8Ec+At8AfeaXwmifu/+jBkzMJeX8FddXW232x0Oh9frXbVqVZ2jCSGEEELECgnchRBCCNEa+PcsaGgW6LIE7uFUaN92220jRoxQSnXp0iU3N1dHTnUyDEP3eg5hzpw5gwYNSk5OPvfcc/2jdj1IpNLkRovmwN3r9RK5wL0ZLFSqEyRFWXn79OnT9RKgrTtwf/3115csWeL7cZlSAy290U/A3ppRdTB2u90wjNCBe4glUn+wVKzrZvFXB3rZpys1EDpAAhig69avCjTgV/ANVC1aVFFRkTdnzjew1Ny1BE6FWwB4Ap4EYBwUwM+gDXjhCaDeb32bNm2AYAuilpeX22w2h8MRbEVZIYQQQogYFTP/3hBCCCGECKHOwL3O+slq8AJhB+7aTTfddPz48bZt25566qm//e1vL7nkktDHh+7EkpeX9+ijj/bo0aO6unry5Mm//e1vgw3S4mlyNAfukW0p09QWKZUXld3bgUOHDtHaA3erR5Q6GzpBMmCuRPoRzKvHK6AD92B9zAnZDf+HmkuzboYrg5xxkDk9BeVwEDYEGXMrHH788SNHjlw5b94uuNXc/hKcDNeaP1rvE06D0WDA/cEmGkRSUpJhGKWlpQH3Ll26VP+5kMBdCCGEEK1MbPx7QwghhBAitDoD92C9ZYpyc30j6KfowP26sNeEnDhx4rfffhsXF9ejR4/LLrts8uTJIQ72er3BAvdZs2Zdc801qamp+/btC10vr9Mr62KqzS8aQv9gYqjC/UGlzoXOkG6Wtx+LjvJ2LTk5uaWn0HxuVyoXukAq2KACCuFzuLV+9xt04B6sj3mItH2HJW0/CpthUW5uwN/uVUp1gzSwmW1n/gsPBhpzDex4+OHNmzff9MADB+A6y66T4LuQF5JvPqj/AhWJiYmGYRw/fjzEMTabrZ4N7oUQQgghYkWULmklhBBCCNEg/k2CG1p8WwleS0uZ+i5gGtL9998PPPfcc1lZWampqQ888MA//vGPdesCNKIIFrg/+OCDurD91ltv9d/rP4hSKikpKfyZN5rX643mCndCRpxR4m6lLoWukGZ27p4Mo6KmvB2Ij49XSv1IKtyHQDfzvaiEIvgaRtX72m02W7DAPdhH8QPIMb/coNP2LXCFYTyRlwfk5eVZO0qtUOqnloOPwTazLUwt6+CjefMmzZlTAQfgC8uur2ELTKnfFZWXl9fvQJxOp9fr3bdvX7AD9P05CdyFEEII0crEQIGPEEIIIUSd/BOghmaB5eZTFDggNQKT+v/GjRu3d+/exMTE3r17Dx06dNq0af7H+OfU+fn5ixYtSk9PP3jw4PTp0+tzIp1epaSkRGbejeL1eqO2hDziFe7Tp08fMGBApEbTpio12JLwVsERGA2XRU267Vtv4McQuH+gVE7Nvi7fwbCGXLgO3P37mAdL29+HHGgLTjNt32a++76cPS8vT5e6P6hUP2gH8eCBE7ALRgQadj28PWnSxPvvd8Fx2A5zzV23QGFd60sDrwCwevXqsrKyelw3mIH7+++/H+wA3eWpPivKCiGEEELEkCj955AQQgghRIOcgHvuuce6ZXwDR+ho6eFuN5s1R8qMGTOGDx9eWVnZoUOHM8444+GHH7766qutB7jdbmvgfvfddw8YMEAp9cUXXyxYsKCeZ9Fhd8tWuC9fvvyFF15owQmEoAP3CFa4L1q0aOPGjZEaTbsaulvWyTwG2+HSqIm2x4wZA+hvY7T6wH3mhg29IQPiwGUWj1/ewKtWSnm93lohdbAP4bqaabs+468tZ7TWtufl5Z1tWce1DPbD5YGG/Sf8De5etsy3nuooc9dCuKmuZjLad/Dqq696vd7i4uJ6HA7gcDj0L10w+/fvV0qFaHAvhBBCCBGLJHAXQgghRGtwBG6pdzDt42vgDlSBXrlPgR0SIza1/xk9evS2bducTmdOTs7gwYNnz57t2+XxeHyB+yOPPJKdnV1aWjpt2rTnnnuu/uPrljLx8fERnndrEf093D9QqofZHkQnvN/DoGjKtRMSEgD9WW3dgfstGzacbCkePw474FcNv2Rd4e4LqZVSwdL2v0AvyACn+e5vh0v8zrh+/Xodu0/fsKEzpICCSjgEnwQa9hP4FPJBQQUcgr9b9g6C3TC1rqtYDQvAbrd7vd433nijPhcOOByO0O1isrKylFLBGtwLIYQQQsSo6P33hhBCCCFE/U03jFCFlPWge7gbZoV7E4XWd9555/XXX19aWpqRkXHqqac+9thjI0eOBFwul81my8vLW7x4cXJy8p49e+bMmdPQwT0ej81mk8A9GH1DImp7uK9Type3uqEYdsJFURZqO51OfgSB+4tK9YcOkAheKIHdcH6jrldXuH/wwQeE/HbFe9DLrG2vz72Wmzds6GH5JsQR+BYC/sn4L1wFDnPYzfCYuWsLHKq5dGowm82OVR6Ppx6H/392uz308ampqSFWlBVCCCGEiFESuAshhBCilQiR66yqx9PLa1a4J0RmUoGNGzfuq6++stlsPXr0yMvLW7Bgwauvvqorr6urqzds2PDQQw81YlipcA8tmivc31WqtyVtPw674ILoS7R1M5nWHbgvVWqgpVWL7sESYKXj+tGBOyHT9nfN2vZ4cEEx7ICLg7+8Tyn1k5qflh3w9pAhtdpqAS9DnlmkXwK7YKK5awcchYvrcQlrzIbvjQjcQ1e46/5X9V+FVQghhBAiJjhaegJCCCGEEJHhhnII2L+8zvUAgeM1A3dnJKcWwG9/+1tg+fLl7dq169OnT2Zm5qeffnrRRRfNmjWr0WO63W6llF7QsqXccMMNaWlpLTiBECLewz1S3q659KWup/4TnNfSE/PncDgMw2jFgfvDSg2CTuYqDrox+sdwT2MvVgfuwT51hmHoey363fel5yG+2TBXqUuhAySAF07AHvhoxoxfZGUlJtZohfUW9DG7Y5XDQbjWsvcE7K7H/P8G/zXf64YG7nUuiBofH28YRv1XYRVCCCGEiAnRWOAjhBBCCNEIDciBAHijZqR1q2F4wGiuwF3Lz89fvXp1ZWVl+/btTz/99NTU1AkTJjR6NI/H0+KBu25r04ITCCHiFe7Tp0//+c9/HuYgbyp1MrSHBPDACdgL78PCqIyzdYW7fg1bX+C+SKk86AKpYIMKKITP4ZYwrtRX4e7PMIx3lDrJkrbr2vYLQ54uFzqadxZ1jP4B9OzZMyUlZerU/zVjXwvdIRXsUAVH4L+WQTZDIQyvx/zLYLo5H6VU6Ir1Wmw2W+gFUePj471eb0lJSf3HFEIIIYSIflH6zyEhhBBCiIZyg39MVZ9mMj6+wN3WXIH7tGnTzjzzzCNHjmzatMlms3Xp0uW888576KGHrrzyykaMprOwlg3cdZV9C04gBF2cG8Hp6a7W4YzwqlKnWKqVS2Ef/B3mRWuWrWvbW2Xg/pxSuZAD6WCHSiiCjTAqvLRdKRWwKtwwjDVK/QTaQYJZ274T8kKe7i2lupoxup7hV5CzdGlVVdUtt9ziO+x9SDM7wuuRv4fbzb074BgMqsf8P4bvzMejRo1qaOCulAoduMfFxXm93kOHDtV/TCGEEEKI6CeBuxBCCCFaCVegwL0+8vLy9AOdJOkK92YIre++++6ePXu6XK7p06cXFhYmJiYePHgwKSmpd+/eV1xxxfz5830TqyeXy6WU0jXILUXPoQUnEELEA3fCq5d/UakBkGnpFa67l8yK4iD7H//4x+LFi1tfS5nXlfo5dIc2EAduOAKb4drw0nb9wL/C3TCMPyn1E/ObDW4ogZ11de3/nVI9zRlWwzHYCt7Fi/fs2TNz5kzfYX+HN/3u4txo7t0NJ2CX+eOakJewC2abU8rKympQ4J6fnw9UVlaGOMbhcHi9Xr0SrxBCCCFEqyGBuxBCCCFaCV3hfiKMEXyRva3pA/e8vLz27dsfPXpUN21funSpUmrv3r3XXnttWVlZu3bt+vfvP2LEiLlz59Z/TF1MKoF7ME0RuDd6tJVKnQZZZq9w3RvkPzAlFlJsfdWtJnB/R6kzzE4yvsrx7fBYbm7jBtSF7frxkCFDxo0bZ91rGMZqpfpAe0vX/p3wy5Cv56NKnQLtwGlZAfX7+++/7bbbrGssfwwfwiRIAZt5LR9bximHQrgegA9hSMgL+bflcUpKCuYfmfpo3749UFFREeIYu90ezU2ohBBCCCEaRxZNFUIIIUQrUQ1GvasJ3giUbbnACw6wNfF/JOnS9T/96U/r16+3bo+PjwdGjx4NvPLKK5mZmW3atFm2bNn27dsff/zxOoetqqqipQP3qqoqpdTgwYPXrVvXgtMISAfukU33Gjfa00qda1mZU6ftX8CEGImwW01LmfFKDYf+0B4SQUE5FME38EQYaXuwXfoVe0upU8zadq+5Ru75IV/MsUrdBJmQaPkyxBXAvHm1jvwcfgXp4DCr4LfAb829O+AgbDSP3FjXtRRYZqVXZA29CKpVSkqKYRjl5eUhjrHb7VVVVfoLE0IIIYQQrYZUEwghhBCilagyO7DXUv827s1Q4X799df7GsXUStsXLVpkba1www03fPnll4ZhdOrU6cwzz1yyZMmUKVNCD66LSVs2vaqsrFRKpaWlteAcgtHdMFq8wv0Jpc6GTpACCirgEHwNo2Mnv24dgfv9So2CkyHLXIP0BOyDT+CKxl5anWn7m0r1tfR70Wn7q3UNm3bbbZ89+miKuZTrIfhXoMN+B33NJVj1Ary7Yby5d7dZF6+7zxyE0fDn4Cet9f4mJCQYhqHv6tVHUlKSYRihF0S12Wxut7uwsLCeYwohhBBCxAQJ3IUQQgjRSlSBF5SlPXEjRvAtmtoUVeITJ04888wzL7/88l69etVK27X333/f+uN99903fPjwrVu32u32Ll26nHvuuQUFBRMmTAg2vs62WrbCvaysDLMYNtpEQ+D+oFK/gM6Qaun4sQluiKnwuhUE7kuU+jX0NivNPXAcdsN6GNGo67K2kfGnX6s3aqbtJ2APrIYlwc84derURx99tE+fPunp6XaogqPwDdzld+RrkAYdzZsHFVAIV5t795rNZEYA8A+4DIBL4fX6XaDT6TQMI3RPdqv4+HjDMIqKikIcY7PZ6l8yL4QQQggRKyRwF0IIIUQroVsFN6g4vVbqXQlecxAHXBfRZHbatGm9e/f2eDwzZ85cuXJl/Z84e/bsYcOG7d692+l05uTk5OXlLV68eNKkSf5HFhQU0NIV7gUFBUqphISEFpxDMLr9dAsumnqXUrk1e4Ufhm9hWEwl17feemus93B/QanzoQe0BSe4oBh2wJswqbFpe7Bd77zzzmOPPQa8rtQpNdvC7IG1sDDIGW+55ZZHHnmkb9++bdq0cbvdN+TnO6AYvoeb/Q5+GxzQB9pBF6iGI5aOMfugGo6aW74w70rqyvrhgc7u/+bGxcU1KHB3Op1er3f16tUhjlFKSeAuhBBCiNZHAnchhBBCtBIHwQ0EKk6vZ1eZCkvgbocIdkW5/fbbu3btWllZOXv27GDHTJ06NcQIU6dOveaaawoLCxMSEnJyci644IKnnnrq1ltv9T8yGlYg1M3oo011dbVhGC1V4X6rUpdAN7O/dhUcgS1wVUzF1kOGDCHGK9zfUuos6AZtIM7yRpxpGPebV+Tr+1Sn0IXtTz/9tGEYbrf7OqX6WdJ2Xdv+F/htoNdQR+39+vVr27atx+PZtWvXmKlT3VAMh+Fav+PfAzf0Mav1D0MP+AGmAXAYOpvrst4O30Eh3Ah/hRGwLNC0A76zOnDXX2Gpj7i4OL1qQjD5+flKqfqvwiqEEEIIEStk0VQhhBBCtBLjDeOgUoAdPoZzgx8ZcMVUoIMZuCtwmAtahu+OO+7o1KlTWVnZPL8VDq28Xu+IESNCD6X7yTzzzDNZWVndu3fPzMxcsmTJtm3bFi9erA8wDCMaViC0NqOPHjorjGDg3qD4/lroblnN8ihsg8tjLbO22WyGYejA3ev1tvR0GuzPSp0GHSDZbKB/GLbAoEBvRHZ2dujRQr/7hmE8++yzgNvtvgcyIcmsbd8LH8C9fiedNm1a586dTz31VIfDUVFRsXfv3mkLFuga/OPwA1zod5a/wVE4uWZvnP8zjzwMwC7oDsBB+B42wr/hP7AaFDwPo2tOO+Dl2O12r9cbuie7lcPhCB24t2/fHqiqqgrYX0sIIYQQInZJ4C6EEEKI1kOXStqhcQ1NqmpWuCdFYkp33nlnVlZWSUnJvffeG/pIr9dbz/brEydOBJYuXdqxY8du3bplZmYuXbp027ZtixYt8oWhLSs6A/ff/e5377zzTou0lPlAqd5mSXU1HIPtcEmspe2Y16uUMgwjtircpys1BPrx/9i7z/ioyvT/4597Sia9kQRIqOIiAgpiRVGJioINRWFFUUEXFJSmYkVdFWVBpQjqCtKsq6goa/+5gm5xFeuqCIpSQgkJ6T1Tzv/BvWf+J5nMZJIMIWSv9wNfk8l9ahJf+j3XXBcdzDLzCsiD7xv6kMEZZ5xx3HHHrVixItjeGo3a9Qu73W4Yhtvt7mhJ2/fABrin7kFnzZrVuXPnvn372u322tra3bt3X/PHP+pfGDcUwW8wLOBAf4e34BpL2q7Houq0XXdPr4R9MB+ugWI4DYDX4Bj4AGzwcGO3zn8tPp8vNzc3vOU4HI7Q1evx8fFA+D1qhBBCCCEOFxK4CyGEEKL90FNP7RAY966F0Y1tXmWpcG92am917733pqWlFRcXP/jgg40u9nq9TZp3OmXKFGDp0qWZmZldunTJyMhYtmxZRkZGW6hwdzrDb6Tf2lq/pcz7SvUOaBc+7LBKq/101H7Y9XD/k1KjoTukgAt8UAH7YBNc09BVuFyuxYsXB6u8DjNtxxK4x5oR/17YCHdYetcMHjw4IyOjd+/eNputurp6165dwx9+uKvlwxBF8AuMCDjQv+GT4Gn7/WYJfy78G26HS2AHYH4AaBUcZYbyDZ58PTpw/+ijj0Jcu5XNZtNjioOJjY01DKOqqirMHQohhBBCHC4kcBdCCCFE+6GnntogCpbBpCZuXgG6A0JEAvf77rsvMTGxsLBwzpw54az3er3NyMp1G/fFixd369YtKyurtrbWZrPNmTPnq6++Cj2u8KBq0pODVtbKgfvbSvWBVHCBB0pgB2QfPlF1PbrC/fDq4f5npYZBF0iCKPBAKeyGjTAjyCX83//9X7C9hfiJ17shq5RyPPcc5rRenbb/HW4zDGDUqFH9+/e/9NJLY2NjlVKVlZU5OTmdH330fOgCiWaj/0L4GS4MONZX8AWMgDSIsaTt/t7z06AScuELmAG/wA4YDp/DP+EjOAf+AtaJpaF/oDabrUkDThtd73K5DMMoLy8Pf59CCCGEEIeFtvv/QkIIIYQQTVUJPrCDE+KbvnkheMEwA/eWdEW59957ExMT8/Pz58+fH+YmXq+32YXh06dPB+bNm3fkkUcmJCQcc8wxPXv2fPzxxzdv3hyiLcbB02Yr3Ft5aOqbSvWFDpa0fRe8CmdE8Axal7XC/bDo4f6iUqdBJiSYBeP6mcdLsLiJDwzCL2wHVig1CH6y2w3DqKmp0QX1/4QZhnHDDTf06NFj2LBhMTExHo+noqLi119/feKJJ5YqdSJkQiLYoQYOwBa4JOBY38F3cFrwtL0AqiAPvoab4VfYCcPgS/gCBkEsPAFeuDvI+Qey2Wyhe7IHrg8duEdFRRmGUVxcHP4+hRBCCCEOC4e+xacQQgghRKSUmhXuzoZGnq4Fgk9MBW41DGuFu6u5p5GdnZ2YmHjgwIHw03bA7Xa3sBvMHXfcYRjG+vXrKyoqkpKSevfufe655y5dunTGjBkt2W1TtZHBrcFEdmhqiB7urynlH2XpgzLYDe/C0sOkMLxB/h7uHA4V7m8qdQJ0NSPsajPCPtkwIpi2B7azX67UcdAZbDabz+e7Z8mSffAZ7Lz11gULFpxwwgmZmZkul6ukpOSzzz6bPn36E088sUypk83adn2qefBDQ2n7j/AzDKybtu+qm7brzb+FG+A32A1nwdfwHRwDQ+FbiIUm1ZYrpZoUuCulQvdwdzqdPp8vJyenKWchhBBCCHEYkAp3IYQQQrQfBeABFzggBkabIXv4/BXuOrVvhuzsbKCwsHDevHlN2tDtdrd83qnP5zv33HPffffdlStXrl69OjU1tUePHpmZmStWrNi9e/eXX37517/+tYWHaJRhGNJS5mWlBkA6xFjS9o9hTpsPqUM7jHq4f6DUsZAGsWY38wPwE4w4mIXtwDNKnQidIQ4uHDtWzyz9N3ifeKJvXJyeiZqbm3vHHXf4N1mp1PHQGeLNU82H/8DYgMNtgZ+htyVtL4NdMNRcoNN2vfn1sB32wJnwHQyw7CcGymBK8Kto8D6E7skeqKamJsR3HQ5HkxJ8IYQQQojDhVS4CyGEEKL96AweUGbgHihY/q5TcsDTspYy/v3MnTu3qdvW1NQopfx7aB6v16uUio6OBsaPH3/xxRfv2rXLbrdnZmYOGjRo7Nixixcv1m3fD6o2W+HeOi1l1ih1DGSAdVTmP+Gutp1Qh8MfuBuG0WZbytyt1CdKHQ0dzU+66B/BpoOftj+t1AmW6NzfRT161aqEhISamppt27ZNnDjRmrY/r9QgyLSk7fvhq4bS9l9gJ3Sv+yDHmrZPNRvRDITxsBNyYQhQN20Hrrak7bNmzWr0PkydOlUpFX4P91tuuUUpVV1dHWKNBO5CCCGEaK/abvGREEIIIURT1YIbDLMhTJemF7nrzW3NqnD3Z+UbNmxo4qYA1dXVNpstPT29Gdv6+Xw+m83mcv3/djhTpkwBHnjggT59+iQlJSUnJ3ft2nXFihU5OTmbNm165513WnK4Bv3vVLg3GN8vV+ok6GhJ2/fB58Hncx5e2n5LmQVKjYRukAwu8EI57IV/w/VNOeGNGzeGPx9VW6rUKXUL1ffDl2BfsaKkpOSnn37685//XG8T/UmIDPPBgA7ov4LrA3b+G+yETpa0XXeSOdNc8CiMgwOWbL17GJf51FNP2e32W265ZcGCBSGWJSUlAeEH7snJyYZhVFZWhlhjs9lC95wRQgghhDhMtd3/FxJCCCGEaKoa0PmNDtzTYHfAGl2cG2wPOnAHbE3876QWpu1ARUWFUiohIaF5m2u6wj0qqn51/v33369frFixIi0tLTMzMyMjo3fv3osWLfr555+feuqplhy0Hh36R3CHERTxjLheJvukUqea7UQUVEAufAmT22Q23QxtfGjqCqWyIQuSwGkOqs2B/4M7mpi2h/hug79FTyg12JzOaoNKs1D9wLx5t193XYP7WavUMZAOsYDl2czkgJU7YA98DJODpO3PwgVQAMeEf5EATJ48+ZlnnjnqqKOmTZv2xBNPBFsWFxdHUwL32NhYwzDKyspCrLHb7R6Pp9n/whRCCCGEaLPa6P8LCSGEEEI0QxVUm3NToyAJgNFN2YO7WT3cW562AwUFBUopHWw1m8fjUUo5nUHP/frrrx85cuTXX39dVVWVnJzcu3fvYcOGrVq16pFHHhk3blxLDu3X9oemtrBvT729+V8vUOpkS9quI9dvm1hY3ca15R7uryh1CnSHZHBCLRTALzDIMJqUtjdpPqp27bXXFj/wwKYnn/xw1SobVEEefA3J69Z16dKlwV2tU6qfpe9QOeyBvzeUtudAHnxRN23PsaTtr8CFUAj9w77GBeblADfccINSqm/fvpMnBx78v3SXqtA92a1iYmIMwygqKgqxpkk9aoQQQgghDiMSuAshhBCi/aiEKrMnTBQEqxW3Bmr1IvKaple4aUVSaQAAIABJREFURyRtB5588kkgJqbB5vPh0j2RQwTu2j333DNmzJjzzz8/NzfX4XBkZmYOHDjwkksuWbZs2X333TdixIiWnEPbD9wjtStrS5mHlToNsswCZz338nu4uo2l0i3UZnu4/1WpQdAFEsFuDg79CU5tYtTepDYyF1100d13371o0aIzzjijZ8+eCQkJbre7ynzQco1hKKUavEvrlepj1rbrtH03/A2mB6zcA/nwHfze0rc9B84wF7wNZ0IR9Av7MtfCLXUvZ9KkSUDfvn2vvvrqBjdxuVyGYYQfuEdFRfl8vpdeeinYgrFjx37++eebNm0K+6yFEEIIIQ4b0lJGCCGEEO1HMZSDF5zghHjz/fA7udeAz6xwd8AYpV4NGdhFKm33s7Zfbwa32x26wr2e6667Dpg9e3a/fv2SkpISEhIyMzP79u27dOnSHTt2PPbYY804hzbeUqZJ96dROp+9W6kLoYuZtlfDAfgRrmhfaTvm9bapljLXKzUW+kOa2ZulEvJhM1wYucJ265fZ2dknnnhip06dLrnkkujoaJvNVl1dXVhY+IcZM3Rt+3/gKsPQ+wy8S+8qdRR0gGizXH03vA8PBBx3n/nY4IIgaTtwIhTB0WFf5j/gs4bev/HGG5ctWzZo0KALLrggcLSD7lIVeghqvfWhfz1SUlIMw6iqqgpzh0IIIYQQhxEJ3IUQQgjRfsyAt8ALUeCAELXiwTq5V4FOiXTgHh3ycBHsTOIXkcC9qTNL58yZo18sWLCge/fuerZqt27dXnjhhfz8/O3bt4do7hyojQfumOlhRCilblLqCuhm1lbXQAFsgcvaXdpO22sp84BSE6AHpILLnFKbC1/D2LBPL/SHHqyXOXPmzMzMzCuvvDImJsZut3u93vLy8n379t3ywAP+svrv6x7amjtfpdQ18DvzbL1mK/bXYFHAcXOhELZBdt20/XTLmvuhGPqEeZ0A7IFZQX52kyZNWr58+Zlnnhn4LYfD4fP5Qg9Brbdef9ommOjoaJ/PV1xcHOYOhRBCCCEOIxK4CyGEEKJd2QceUPDwTTdd/uST/vfDLHJPNQN3BfbgTWnqieDcvxZmwbrnQ1MDd79bbrlFv1i2bFnHjh3T0tLS09N79er14osv5ufn79ixY9GiwGCwPq/X22YDdyCCFe46er4cukMSOKAWCuFnuLgNhNEHQ5samrpEqfOhKyRDFHihDPbAP8KeUttofyEdTN98881du3ZNTk4eNGiQP3rOy8vLnj27KyRZmtj8AL83Dz1p0qSLLrrInztPVWoC9IQU82xLYGfdcnW//VAM2+GU4Gn7kzAMeodznaav4NWQT0p27drVrVu3OXPmzJ492/q+w+FodAhqvfWhA3d9G8PfoRBCCCHEYUQCdyGEEEK0KzfCxfDonDmxJSVPQQoEG9vXYJF7dd0K99jgB4p4MxnAMIwWZsG650OzA3c/3dMZWLNmTWpqanp6elpa2hFHHPHiiy8eOHBg586dCxYsCLbtypUrgWDNoA+tiLeU6X3TTT0hGRzghiLYBue307Qd84d7/fXXH/Ie7muUOgMyIRGc4IYS2AV/hQcikbYPHTp00KBBjz76aHJy8uDBg202m8/nq66u3rdv3+233/5Hpc4Bf9peYzYRGm05dGJiIuZYhTuVGgXdIQWc4IFi2AENfkYmH0ogBwZa0vbdddP25yHwDyz0Y8Ut8C/4U8ib89BDD82bN69jx46zZ8/2f/AFMx8vKCgIsa2V3W4P3fDdbrdXVFSEuTchhBBCiMOLBO5CCCGEaD90nOoGj8fjcrnKhg/n/ff93w2nyL2qboV7sKY0ByNtJxKBu+75EMGZpddee61+sXr16g4dOviT95deeunAgQO7du366quvInsTWkHLH0ho8aNHH2GJUIvgVzi3/abtfoe8wv01pU6CThBv5t1F8BsMMYwTwti80cL2BQsWJCYmxsTE6KC5pqamoKDA//mPe5U6t24TIZ2212siFBsbC3i93jFK3WR+DEI/GyiGX2FYQ4fOh3LYA6/DI+AzR6oOsaxZB5c2tG3of79th+tgQugrhzvuuGPRokVZWVm33HKL/7ma3W73+Xzr169vbOv/stlsHo8n2HcnTpyYnp4efoMaIYQQQojDiwTuQgghhGhvaqCysjI+Pj41NdUdcmVgkXsZeMEwA/cGe7gfpLQd8Pl8LcyC8/LyiGjg7jd+/Hj9YtWqVR06dEhLS0tLS+vVq9dJJ520bNmyffv2bd269aWXXgKuvPJK/aIN0o9kInJ/3laqD6RClKVg+ez/gbTd71AF7u8qNRAyIBYUVEEBbIVhYdz8RqP2lStXRkdH63y5qqpq3759t956q3XBQ0oNszQR0i37N8OogKPreQy6wr2Hud5tdmYf3tDRD5g96P9uSdtz6qbtH8CRjV5ngO/g3bDb7s+YMWPJkiU9evQYP3786tWrAZvN5naH/rdpHaHXx8fH+3y+wsLC8HcohBBCCHEYkcBdCCGEEO1NFfxx/vxFjzySmpq63/L+q2bv6RD2gW48bAM7BA4wPXhpO5EI3FeuXLl+/fqDEbj7TZgwwX+stLS05OTk1NTUbt26HXvssWvWrMnPz9+5c+fkyZMP3gm0hA7cW17h/qZSfaGDZfTlTjjzfyZt10+qWj9wn67UJdAPOpifPqmE/fADXNLYzW/0bx945ZVXvF5vZWVlfn7+Bx98EPg3/qxSwyET4s2W/QXwU5Cj63kMXq/3MbPzjL/F/wUNHb0AqiAPvoSbwGiotv0TeB2aMMIYgJ/hS7izKb+fU6dOffrpp/v375+dnb1hwwabzRa6J3s9Sqna2tpg342KinK73UVFRYfdh2OEEEIIIcIhgbsQQggh2ptKMzSPj4//YejQ9I0b/d8yAjJ3pdTQoUP9X95vGN8rpSvcbdCiAaZN5/V6I9Lt5KAG7n7XXXedfrFkyZLMzMy4uLiEhITOnTsfddRR5eXlTz311J49ezZv3rxu3bpWOJkwtbzCfapSw6EPpEG0mbbvgrfqBqMNuuCCC8JvozFp0iSllM1m838Ow1+e7P/S5/P5fD6v1+vxeLxer37h8XjcbndVVVVlZeWmTZv0JpFNNg9JS5m5Sv3ebIMebVZ/74Mv4eoWp+0vv/xyaWnpli1b7rvvPizP1azeUOoU6Gim7eVmZX2wAbm6PZTH4/H3eS+ALTCyocUFZmuaH2AcGGbf9tMsa/4N/6ibts+H20NfGAA7YGzTnwb95z//GThw4FlnnQUopZoauAfr4T5y5Mh+/fpJA3chhBBCtGMSuAshhBCivSkFH9TU1MTExKSnpzd1c50q6ZYy9QL3g1reDni93pZn5YZh2Gy2iJxPmKZOnapf3HvvvX369ElOTtYNZ4444ogTTjjhueeeKyws3LNnz3fffffhhx+25ok1qCWB+wKlLocsSKk7zfL/YM/YsbfeemtqampCQkJ0dLTL5YqKinI6nU6n02632+32+fPnh3OIO++806gLS15c74WO4+uxLvMH7h999JGO5r1er9vtrq2tramp0aF8eXn5xx9/TBN/q1u5wv3PSp0LXSDJ7OFTBjnwCUwPGSU3GrUvXbp0+/btV1xxRYg1dyt1FgyAVLOPTQ2Uw1a4MMjRlynlXLoU8Hg8dqiGA7AZLgtYuQ+izOL3LXBJkLT9a/gGbrO8sxKuC31tps+D9IsP7emnn3744YfT09PvvPPOU089NURP9npuuOGGCy64IFjgnpmZCZSXlzf9jIQQQgghDg8SuAshhBCivSkAD9z9wAOPP/JIWlragbrfDSxy37hx49ChQ3XnBMADOkKzg3WA6cFO24lQhbthGK1T4R7ooYceAubNm3fkkUcWFhZmZGTExcUlJiZmZmYeddRRp5xyyqpVqwoKCnJycv7zn/8ckm4SOr9u3v15TqnToSMkQJRZYb0XPoWT339/sM2mf690Su6Ptmtqap5++mnrflrzwvUvNvDTTz/Fxsa6TImJiQ6Hw2636x+Z1mBZt1bvnFu5wv1FpU6DTEgw26Drjvkvw6LgaftZZ5117LHHzp07Nzk5ucEeR2E2NH9aqYshC5LBBQZUQj5sgYuC7GGVUifAJofDMAy3210F+fA9BIb6+WAzZwBsg/PMTjJ76qbt38NPcL3lndfg8nDOHoDZzW12dM899yxatGjfvn1A+IF7Wloa5gDnQHFxcV6vd//+/Q1+VwghhBCiHZDAXQghhBDtzZXgz3ISEhIKodFcUGfu+rXbHJpqbSnTCmk74Ha79aDFlmj9Cvd6ampqlFIvvfSSvlf33HOPLntPTExMTk7u0qXL0UcfPWTIkBUrVuTn5+/du/f7779vtQw6/JYyN910U1ZWVmpqalxc3LvXXHMFHAdpEAd2cEMZ3AqnQ/Ly5T/88MPu3bsXLlzY4K7GjBkT6etogtD3VjcMIWTaHvhdHbg3qcdIs61T6gToaN75GnPo6JmGcXLA4mHDhvXv379jx47JyckTJkxwuVwOh+OyywLLysNN219V6jTzKYsTPGYfm01wfZA9PK/UcdDRfK7jdrv3w3cwLmBlgdkbp0DPALD0bT/VsmwLbAPr79B7MCKcs2/KlQYzY8aMWbNmKaXCH5oaHx9vGEawpjFRUVGVlZXV1dUtOSshhBBCiLZMAnchhBBCtENuUODxeGJjY2suucT55pvW7wYWuVvpCncb2Fr9P5XcbnfLs3IduPsL9ltfdXW1UioxMVF/+fDDD/u/NXfu3O7duyclJaWkpKSmpnbv3r22tvbMM89cs2ZNUVFRbm7uL7/88vrrrx+8c9PhY72bPGrUqN69e3fs2DEpKSkuLi4mJsbpdF588cV6/TcjRkyErpAM0aCgGopgJ7zajqakhvht8aftt9xyi8vlcjqdeXl5uqXMe++9V1VVVVZWtnr16kb30wwfKDUA0iEGFFTCAfgJRlju/KhRo4444oj09PTk5ORrr71Wh+yA1+utqan5/e9/X2+fYQbQAzZu/ECp46ADxIENaqEYdsLLsCTITl5WagBkQBz8fuLEj9980+12b2qo90sxOM0ZAPfAMkttuzVt3wY74ULLO5+AfyrCPfAwobQwbdcSEhKAEENQ64mNjTUMo6SkJPBbU6ZMSU5OLisrA8aOHdvycxNCCCGEaIMkcBdCCCFEO1QDBnz88cfDhw/v1KlTQcCCBhvL6Be1ZksZm9lSpnXK24GampqWZ+U+n89msyUlJUXwxJqkoqJCKRUXFxf4rbvuusv/euHChVlZWfHx8Tp/79KlS58+fQYPHvzSSy8VFxcfOHBg586dK1asiOy5+Svc//SnP6WlpSUkJMTExEycONFutxuG4fF4qqurCwsLDxw4cNtttwErlMqGzpAITjCgAvJhK1zWjtL20AJ/G1999VXA6/UWFhY+++yz1m/Vq4Vv9m/yXUoNh6OhA0Sbd16Xil9uGJMnT+7cuXNycnJCQsLo0aOjoqIcDoduUl9TU3PgwIHdu3c/8sgj9fYZZvqcnZ19ycaNJ1iesmBm/T/DCMM4NciGa5U6BjIgBoAKMAyjtrY2MG0vsfTG2Vk3bR9sWZYLU6Gf5Z3P4V+wCDbBJpgCf4Ybg5xPRNJ2ICYmBqitrZ0xY8aiRYsaXe9yuQzD0I1o6tH9ZHbs2AGEXzIvhBBCCHF4kcBdCCGEEO1QJfjgvY0bnxgxIiUlZcvQoelmnu4XmLkrpQzDqAWf2VLG0YppO2ZteEpKSkt24vP5guXdrWPx4sVvvvmmDulCmDlzpv/1nDlzdOV7bGxsQkJCp06dPB7PoEGD1q5dW15eXlJScuDAgV27dj333HPNOyX/D/EPf/gDYLPZBg4c6PF4qqqq8vLydu3a9eCDDwZu9bpSJ0A6xJnxqG4n8iVM/p9J24PRfeqvuuqqq666yv9mYF+a7OzsGTNmlJaW6ico4cS1wONKjYTuZtt0r9ku/9/gfeaZF1544ayzznI6nTabTT8m0SH7zp07586dG+xsw7+0P2zc2A86mU9Z9NFz4VsYF3w/65TqZxbjG+avimEY9WaH5pr18ro3zi9wSpC0fS/sgTPhZvOdn+EzmAnfwWYYAq9ARpDzWbJkSfiXHFp0dLS+kO7du48ZM0Y/bgkhKirK5/O9//77gd9yOp0VFRW6+3+wqapCCCGEEIc7CdyFEEII0Q6VgBecUFNTExcXl5mZGWYtpVLqDUuFuwPSN27MHzq0ddqz6NpwfzOW5vH5fA6Ho9G8+2BrUjP62bNnW79cvnx5hw4dYmNjO3TokJaWpkPV2tratWvXVlRU6Pr3nJycNWvWBNvhxIkTjzzyyMDIz99SZvjw4SHO5z6lTof+kGI2M6mBYtgFQw3jxPAvrJ0KNjQ18M9k+fLlPp+vY8eOXbp0GThwYDj1788qdRZkQZLZNr0EcuD/oM+bbyqlvF5vbW1tUVFRYWHhF1980Wj+G37aPl6p0XCCpVl/LZTCLvgA7gu+n/VKHQ1pZk92nZ5/AkcYxtKlS/3L8s3idz129Uc4xyze31s3bc+BnfB/cJ/5zk+wGa6FndAdtsBv0B0+gyUwte75rFu37rfffgvzqhsVFRUFVFdXp6WlDRgwoNH1Tqezwf7+U6ZMSUlJKS0t1V9K4C6EEEKI9koCdyGEEEK0Kw/A/ZAPHoiCG+67b/W8eRkZGXsaWtxgM/cqc8iqDtxbc/zo3//+90GDBrWwOF1XuLd8+GpLtPAEJk6c6H89f/78zp07JyYmxsTExMbGpqWldevWzZq/l5eXFxcX5+Xlbd++ffjw4SkpKXFxcZdeeinQp0+fioqKvLy8GTNm6L09//zzSqnQjfL/rNRw6AxJEAWG2U7kFxj5P1/YrunPgng8nkZXWn+UQL1PEvjz9+jo6COPPFL3YY979tnuf/hDgpl3F8N22Pf661mVlbt3796zZ4+/V0yISQxakwrb5yt1HXSDVLONTJU5oPWchga0+r2r1FFm6xsflMFu+ADuByzzWv0jUisgF76CUWbavgdOsexwB/wGZ1re+QG+gytgO2yHPZAFt4CezhrYK10pFX7L9UY5nU6fz1dVVZWbm9uxY8fbb799/vz5IdY7HI4GA/eEhASPx7Nq1ars7OyZM2d++eWXkTpDIYQQQog2RQJ3IYQQQrQr9xnG/UpdCnkQq/tuG0ZiYuKPw4Y1uD4wc08yA3cFDkiEv7TW9NENGzZkZ2cff/zxLdmJ1+u12WyHNnAHnE5nRPZz++23W7+cN29eZmZmYmJidHR0bGxsenq67m2iI/jq6uqKiooDBw4UFRXl5eVt27btgw8+sG6ui7Ltdnuww72i1MmQDvHgqNtO5HpJ2+tqMFQNTZe0X3rppV27dk1NTU1MTIyPj4+Ojo6KitJ92PWzkESwQTUUwC9wVsCdj2zUDqxR6mzIhESIMmPx/fAf+H3wXV2l1DXwO0gFF/jMcvh18FjdldYRqXvgY7gxSNr+K/wC1n9bfQdfwngAtsEw+AIWwnD4FSpgct1jPf7440S0ftzhcBiGUV5evnDhwscee6xTp05XXHHFX/7yl2Dr7XZ7YNw/fvz4rKwsPS4VMAyjoqIiUmcohBBCCNGmSOAuhBBCiPZJp00OKC0tTUhI6N69e5gbVlsq3O3Q+q3Qv/rqq5Zs7vV6lVK6C8QhdJBO4I477rjrrru6devWoUOHp59++txzz9X17zp/T0hIyMjI0BG82+2ura39y1/+olP4srKyoqKio48+Gmiwwv02pc6GYyEVYsAGtVACu+E9eETSdgullM/nC6fCHRg3blynTp1SUlISEhLi4uKio6OvvPJKp9Ppj9cNw9A/rLKyspKSkpumTwcqIQ82w4V173zEo3ZgvVInmU9Z7OA2Y/GNcGvwvU1VagL0hBRwma1vdsIZAStLzd3qEam9LGn73rpp+1bYDBdZ3vkK/glTAHgXhsFn8CEMhgqwQWXA5T/55JNAVVVVU+9DMHogbXFxMXDbbbctWbKkb9++Idbb7fbA340OHToYhpGXlweMHTvWMAx/+C6EEEII0c5I4C6EEEKI9qkKDLDDNY888vZjj6WnpwdbWa/IvdJS4W43ey4fRnTUFakC8+YxDMPhiOR/Z06ZMqV3795paWlxcXGnnnqq1+vVad1dd91Vb+Wjjz7asWPHhISE6Ojo+Pj4pKQk/b4OiPfs2aNbyqxevbqysrKsrKy4uDg/P//YFStGQqY5pdOAKiiAX+ECwzg9glfSjtQLVS+77LJ6wbouXb/sssvsdrvdbtd/ZboXjdvtLi8vLy8vLygocM+efQ70MHu5+JuufAPPDB36uKXt+8aA0cf1NDVtf9Bs1t/B/EuvhiL4DYYaRohPmtyp1CjoDikQBW4oge1Qb2jsyy+//MbYsXbLiNRjIM5M27vWXfwjfAdjLO98Dh/BHQC8BefDP2AwfADx5miBCQGXr//2KyvrRfHNZ7fbfT7f2rVr9ZcFBQWpqalTp04NNpfVZrO53XWmZpx//vkDBw6srq7WdfF6qmp+fn6kzlAIIYQQok2RwF0IIYQQ7VMFeMEOLqitrU1ISLjmmmuee+65BhcPHTrUn+XpgauYFe6HY+CulDq0gTvwySeftHAP2dnZZ599dlZWVmJi4ogRIwzDqKqqysnJmTZtml5w9dVXB241a9aseu/Mnz8/LS1NR/CZmZnV1dX+1uE+n0+3o/GMHNnj4osTzDYyFZAH38PH48cvOPvsv/3tby28lnbjoosu6tixo/5xeDyeJUuWuFwuHazrunW73W6z2fzZur7D1dXVVVVVpaWl+/fvnzNnjnWHTyg1GLpCMkSBF8pgD/wTbjSMK8w+7xGP2oFnlRoBmZBkNoTxl9U/MXTo0OAbPqDU+dANksEJbjOjP6fusjfeeKOqqmqVOSJ1M5xifmImMG3/DjaZfWO0f4C/cfxaGAnAEHgHEsAGn4J1vLL/Dui//fLy8ibdjRDsdru1fdAf//jHRYsWde3a9dxzz/3www8D1wd2kD/yyCOVUiUl/+02r0vm161bF6kzFEIIIYRoUyRwF0IIIUT7VARecIALjrn77q2PPda5c+cQ6/2Z+1T4ETAr3A9xK/Smc7vdSqnIFpg31eLFi5u97YQJE4455piMjIxp06bZbDaPx1NUVPTDDz8sWrSoeTu0doF/9tln09PTP/30U5fLpVP4mJiYqKioEy++OBZsZjuR3VD90Ucdvd7RHo/H43nttdfcbrdue1JTU6Pj48rKSj2vNT8//7333mv29bYpI0eO1CXqsbGxMTEx0dHR+p+6x7rT6ZwwYYLD4dC17VOnTtW9ZbA8uqisrKyurtal6/fff3+IY41R6goYas6ndZh14rvgbfijGR8fjKgdeEOpU6Cj2azfA2WwF/4Fa0OF7fxJqbOhKySBE2qhCLbBeXWXFcInSvl8vnJzROp5QdL2vbAXPoWpljc3whDz9Qsw2vKtCwD4J8y0vGm9CXl5eSkpKQUFBeHch3DYbLZ6AfqMGTOWLl164oknNrg+MHCPjY11u90rVqzQXwabqiqEEEII0T5I4C6EEEKI9mkfuMEFTogHj8eTlJQUetafnxcMM3A/xK3Qm05HXYe8wr2pbr311l69eqWmpo4cORKorKz89ddfb7vttsgexefz6ZYyd9xxx6NK9YIsswc3UA2F8BsUvvhiTGmpjphdLldCQoK16ZAu3Na8Xq/X6123bp3b7f5vsbzHo1um6IBeq66u1jF9TU2N/rKysrK2tnbDQZvHm52dnZCQEB8fHxsbGx0d7XK5/KG55nA4rK+1CRMm2Gw2f5W6zWbzN1zyX7WOSg3DyM3NraqqKi4u3r59+zPPPNOk03tKqemQZXbMt0OtefOHGMYJQBjt2oGhQ4f6P68Q5s28W6mzYIDZRsYGNVAEO+B0wxgIa7Ozg227UKkzoQskgsPSKOb8usv0iNSzL7103Zo1O+FjuNqStnexrMyBnfAB/NHy5ocw1PLluIbO5DTL63qPHKKjo30+31tvvRX8HjSNUiowHy8vL+/QocN11123cuXKwPXr16+fOfO/TwRuvPHGtLQ0f3k7YLfb6/WcEUIIIYRoTyRwF0IIIUR78yqMgasgFxQ4IRZ233lnj8ce69KlS4gN/UXuhzBwv/nmm1vY2rimpgY4tBXu4Zs1a1avXr1SUlLOOOMMn89XWlr6448/PvTQQwfpcDqatNlsq5U6EzpCIjjNvuH58COMDVIxPWfOnOTkZF36rZNrHVJHRUXpeLpeQGzUpdNq/2v9Yt26ddZv6RdYItRgL/xH1LG4CqA/H+DPzQMXYE4v0Du0PkXweDx66qzb7daF/IWFhdZWMPq0V69e3YwHBlOVOg+GQjokmI86KqEAtsKwugMVQtCnnW0Jx8NJ3p9S6mLoAkkQbfZSPwBbAqazBnpSqVMhCxLMtL0AtsDFdZf5R6SWQI9rr30MFgZJ23fAb3B03bT9bTi30Yu3CCzwj4qKal7VfzD6gyb13rzzzjsXLVrUo0ePeu9nBzyuSE5O9nq9v/32m/8du90ewZmuQgghhBBtzeHxf2JCCCGEEOHbY76oMeemxkIm+Hy+5OTkUaNGvfHGG8G21Zm7zpYU2OAmmNIKJ23y+XwtzMqrqqqUUna7PVKndDDcdtttup791FNP1U1jPvjgg8BS2YjTcbbNZhsEaRBnZqP+diK3BE8qZ8+eHXrn48eP79atm+7HoivK/fXj/qmh/hAcsGbfhFfQrVnj1AZf+zN9/U+v1+svxtd0DX51dXVFRUVxcfHcuXPDPLRVM9L2FUqNM4fT6h4+XvNRxw9wKRDGTbBesv8cwkneX1VqiPmUxWH2i98HX8J1jSXUy5Q6GTpDAtihGg7AZhhlWZMLcWbJvK583/Psswv/8IcG0/Zf4WcYCBmWN9+ACxu9fgCegGlB2uk4nc7INmxRSgUG7sCBAwfNUJHHAAAgAElEQVQ6dOgwZcqUp556Kti2/vL2d955x/9mgwm+EEIIIUS7IYG7EEIIIdqbAeaLSvCZfdjTYOv+/VlZWYElmYE8YEAn80t/FXAr8Hq9LQzcS0tLDcNom4H7zJkze/funZqaetppp3m93sLCws8++2zVqlXApEmTWuEEdOA+6q67UiAaFFRDMeyAcwzjlJbtfPXq1S0/w+nTp+tQvl5Ab/2nLj/XcXlTe7lESlP/ImYrdToMgTSIhygwzJufAxvhjpYd1Jqt+wN3/4tjN248H46DDmYmXgvFsAtehYWNXcsqpU6AzhAPCqrMJwRjLGvyzQHL/hGpUevXe/ftazBt32rOUE23vPlS3fg+hOehgXnBJqfTqX/PI2Lq1KnDhg1rsAPMnDlzFixY8NNPPwV+q3fv3vqFLm/fvn279btKKWkpI4QQQoh2TAJ3IYQQQrQ3FeaLMsvc1GR47LHHFi5cmJaWdvnll7/22mvBNh86dOjggDmNrZa5e73eFmblixcvXr9+/SFvKXPFFVf4X48bN+7444/PyMgYMmSIYRhFRUVffPHF8uXLaa2cXVuulO+JJ4A0iDLbyOh2Ipe31gOVRrVk3myrCb8YX3tBqUuhEyRDNNjAA+WQBz/pwvbGNOmvT4fv/rR95MaNJ0JXS7N+3cHmZxhuGIMb29vzSh0HnSDOTNvz4Du4yrKmEFzmb5Qekfrr3XefArrSvF7a/iN8B9l103bgyvCubjRsBoLfE7vdHsEK96SkpBD5+F//+lcgOzvb/8Djsssuy8rKeuGFFzDL20tLS99++23rVoFTVYUQQggh2hMJ3IUQQgjR3pSaLwrBC06IggQA9u7dm5WVdcQRR4TYfMOGDX9T6pyA91snc/d4PBGZd3poK9xvvPHG0tJS4OGHH87KyrrkkkuA0tLSTZs2LVq0CJg4cWIrn9JrSp0I6dOmxYMdPJZ2IlPaTNp+GAnzb2GuUifDKWZpuRMMqIQi2AUvw9IIHSiQjoBfVKofdDKb9XvNTPwbGBdkz5MnT/ZP+HxZqQHQEWJBQSXsh69hvGV9sbnnMtgNG+BsOPeRR75Zv97j8VTWTdu/gy/gIkhr1kVthX/BhJC3xeFwRDDOjouLwxzFHGjDhg36wcY555zz0UcfAS6Xy+fzvf766wQpb585c2Z2drYeNSGEEEII0S5J4C6EEEKI9ma/+WIHnAgxEAXxMEapVw3j8ccfT01Nveqqq1588UX/Jv7YSKuF3XVjMq0VMnePx+NyuVq4E8MwbDZbRM6neXw+n91uf/XVV/v06VNVVbV169Z77rnnUJ3M3UqdCf0hBWLMFtu6nUi2YZx0qE7rMBfOH8KrSo0ww27dwEe3y8+F/4RR0N3Cv7VrlPo9nFC3WX8J5MAH8PHQoSssddlWumkPsFapYyADYgEzqf8CrB/KKAUH1EIJ7IAtcBZ0gng4/eKLj4csy+Iv4RO4srlp+w74qrG0nUh3SI+OjjYMI0SCv2HDhgULFuzbt09/6W9oc+ONN2ZkZJSXl+sqeL/k5GSguro6UmcohBBCCNHWHMr/ExNCCCGEOBhugU8BuNGcm+qAWOgJwK233hodHd2tWzfrJvWmLOqt8hvauXXK5cHwwgsvtDwrP1Q93M8+++z58+c///zzDofDZrPl5uZedtll48aNO4Rp+5NKnQ+/g3Twd9PeD99DthS2t0DozHeRUp8qdSL0hA4QAwZUwD74Hvo3lrYbhtHCtH2eUn+AfuaYU5vZCuZHOMkwPh46VC/Lzs5euHDhiBEjrNvabDav17tOqX5mbbsB5bAH/mFJ23OhrO4A1Z/gOOhs/qZV1k3b/wXrW5C2/wa/wUdhPIeIbOCun/+Fzsdra2tTU1P1bfSPbE1NTfV6vdu2bau3WJfMV1VVReoMhRBCCCHaGgnchRBCCNHeGIZRbr6uBgPsEG0Zgup2u1NSUiZMmBBsD1WgZw7+GmTBQc3cIxK4t3KFe3Z29p///OeJEyf26NGjtrb2008/HT9+/LRp01rzHAK9rNRg6AGp4AIPlMJu+BdcIml7C4T4/b9WqTeVOgf6mGG3LgAvhF/hb5AdbEsgElE7sFqpc8ynLDGWuPwLOMcwgA0bNvhr2/v16zdlypSVK1dOnz7df3Xdbr75aMiwbL4bjoebzUPkQ7yZ4++Hb2EnDDLTdmWm7aPN9RvhKJje3LQdqIbv4anGbs7o0aMjG7g7nU7DMELn43feeafL5erbty9mB/np06c7HI6SkpL169fXW6xL5isqKhrakxBCCCFEeyAtZYQQQgjRDhWaLyrAZwbuqeabs2bNWrx4cdeuXfWsP2szGS3ODNxt8CGc29AhDl57mSeffHLNmjX1+jA0SWsG7v6798orr2B+ROCQm67UeTAAUiEWbGbTjxwoWb++sm5TadEMDf7yP6PUDZAFKRALdvBCJRyAbXBeE/fWPOuVOhnSwd+sXz9l+RRm1j2K/3d1xYoVnTt37ty581/+8pefxo4dAt2hA0SD10zbT7ZsqEekGmZ7nK+gFo6vm7bnArAWgA/hGAA6NPeitsHnMC2Mu9S1a1el1Nq1a6dMmdLco9WhW8Q0mo+73e4OHTpkZ2dPmTLltdde69OnT21t7dKlDbTo103e/V3yhRBCCCHaHwnchRBCCNEOHW2+KAUvREE0JFsW1NbWpqSk9OvXr8HNq83AXYEDbg4y2vHgZe66zXGz6cDdP8bwYAh8StFGonZgoVKjIAuSQbfDr4QC+BW+feihAQf5Awr/I+r95t+q1NlwBqRDAkQBUA0lsAf+CdPD209LPKjU6dDfbGKjoBqK4DcYahjHB9/w+uuvBx5++OEus2dfCJ0hCWzghVLIgVMti4shyhy6q0ekJjaUtvsPt9583eyK7p3wHVwZ3o365ptvvvnmm+YeqgEOh8MwDD0DOYStW7f2799/wIABdru9R48eSqmCgoIGV+oE39/zXQghhBCi/ZGWMkIIIYRoh2rhNwD2gxdsEAWJlgWzZs1yOBxZWVmXXnpp4Obllgp3u27iHCTtOkjRbXx8fEs29/l8NpstMTGx8aVNl52dbU3bN5gOxrGa4Xmlhpitw6PBB2VmO5ELDUN3lz60E2XbB+tfxGqlfg/HQldIMfPoEtgNm+CEIGl7RLrH+C1XagT0Nmec6j4w++ArGBrGUWYpNWj27JMtTecd5hxUf9q+B0ohCmqhCLbBSYYRA8dDppm26w4zOmF/880377zzztPMFN4/NWJ/4OGD2wPb4KJD1wHJbrf7fL7c3NzQy1auXOnxeNLT099+++2YmJjq6urly5c3uFIH7u+///5BOFkhhBBCiDZBKtyFEEII0Q5VQy0AoyAP4iAKEmC6UovN6Co/Pz89Pb1Pnz7//ve/621eBF4AlNmOBjAMo8F4PbJ17rrFzZYtW1qyEx246+GEEVSvqr3thOzaOKXGwEBIM/uZ1JrtRDbAvYYB6N7WUuHeQv4b+EelToNTIQ3iwQkGVEEx7ILBQTaP+OdC3lBqMHSEeHCY5ed74TOYHMaxlit1GWRCMkSDghoosUTkwH6zN1E1FOoOOYbxilJnwHFQCDaztn0QAN/CdsOora21dpgB8iCjKZeWBXfDWWGvv+SSS3r06LFp06amHCQU3ZP9b3/7W6Mrc3JyunXrlpGRYbPZ9u7dG3qHkTo9IYQQQog2SAJ3IYQQQrRDFWbgDlSBAQ6IrZugPfjggwsXLkxLS+vVq9ezzz5rTZNvNYzNShl1A3daK3NvOZ/PZ7fbo6OjG18anjYetQNzlboOupqZKVAFhfAbjDCMIeYyCdwjxTCMMUrdCZ0sObUbymE/9A2+VWRP4y6lzoYBZlm6DWqgGHbAEMMY2NjmNyp1AZxm9nx3gA8q4AD8bK7ZAh0gFoAqyIcf4RtQSh0HHaASYmEv5ILOuTfBRhh36aVnmjXvJwKQB03tXL4Ebm7KTYuKigIqKyubeJyg7HZ7bW1t4+tgyZIl06dPT0lJKS0tffHFF1u+QyGEEEKIw5R8nFYIIYQQ7VAZVJuvy825qTGQXndZTk6Oy+Xq1q3bWWeddc0111i/Za1wd1neb+XeMs3j9XqVUi6Xq/GljWmwgUzLdxtZK5XKhl5m6uqDctgLX8GIuj8vt9sd7KmJaBLDMObCEZAOMWBAJeyHDkHS9sg2kNGeUmok9IGOdfunfwtDwjjWk0pdDcdAFiSBA9xmz/f34EIAfq3bo2YP/AsK4ELzuPGgoBAy4Uu4Af4FmTADbJYOMwWQD6WwA4CtYV9jk9J2wOl0GobR6IzT8CmlwixIHzduXFJSktvtLiwsDLHMbrfr515CCCGEEO2VVLgLIYQQoh3KgzTzdTF4zLmpKXWXxcfHl5WVJSUlHXfccbroMjs7WwfKXvBXuEfV3art17lHJHB/9NFH3333Xf26DYbs2hilroDjIR3iwA5uKIW98E+4LeDHUVNTQxt7OnLYeV0p51tvGYaRCS5QUGv5FEigg/RH8YpSQ6ATJIADvGbT9i9hQmNHHKPUWDgDMiDB7ISjJ+tug/MA+JcZxPtHpO6Bj6E3HAkZZkW8Pm4urIJs2Ai/g1ioghj4Fr6FAnOWwC4YBr/A9vCusRm3Ljc3Ny0trbi4uKkbBmOz2cLMx7t06aKU2r9/f+fOnUPv0O12R+jshBBCCCHaIgnchRBCCNEOTYfnIRc6wR7oB66AuamTJ09OT0/fsmXLSSedlJWV9fnnn1v34DEDd1tA4E7IzJ2DljCGTwfuurlEU2VnZ1944YUZGRk6bW+zUTuwWKmJ0A1SzJYm1VAEO2CYYTTYQLyqqgoJ3JtrqVID4d3rrhsJhmHEhlx88P4Kpip1IQwym/XboBZKYCe8Do81dtyFSt0MXSAVYiwPafbBceaaryxRvtvsUfMvONn8fYs1nzQUw044HbbBVjjJ/EBMJWyFz+H3EAfbIQdehl9hB/SCv0GK2fC9Qc27gdHR0T6f75VXXmnGtg1SSoUTuE+bNi01NbWsrKx79+52u/3iiy9ev359sB1K4C6EEEKI9k1aygghhBCiHXoaTgQd6oyBGgCcEA+3mWFrSkpKbW3tmjVrbrrpppiYmF69ellLwnXCpCvcnQ0dIkQcdsjzXI/Ho5RyOhs88VDmz58/fvz49PT0lStXts3uMdospV5X6hQ4EtIgBoAK2AffwrDgP5pnn30WsNnkv4GbZoxSSqmpcDqsXLmSkL//B6N7jN8ipa6Ao6GT2c5Ft235HgYbRqNp+6tKZcPv6nah2Q8/WtL276GL2WSmGvLhJ9gB50BvyAA9jFj/vn0Dp8NW+BEGQzT4oBRy4O9wORiwH3rC+3A37IYjYDekwQ/Bz7PZN9DlckXw5l977bXhBO5XXXVVcnKy2+3u1q1b//79o6KijjjiiAZXXnbZZUop6eEuhBBCiPZNKtyFEEII0Q7FgWFp467npjohFrqYbzocjqKiIv26tLQ0OTl50KBBn332mX7HDQbYwBYkcCd4nTuHutTd7XY3NXCfO3du586dO3fuXFhYOH369Hod7duUFUpdABmQCC5wmbM698Km8HpeH/InIoeRBu/VyJEjG1x8sH/hX1RqKHSCRHCazfp10/arGjv0XKVOhkHmBFS72SgmF44117wLR1ge4VSaI1Kj4URIM9sW6Q33wvGAOUP1orq19qdDJXigBHLgXrgZOsLdcAF0gB8hvqHzbOE9jIqK8vl8LdmDVUZGBtBoQXq3bt3sdntubm7Xrl0Nw/B4PMnJyQ2u7NmzJ2ZnJyGEEEKI9kqqe4QQQgjRDl0D1VAFJUDduam6t/vMmTMNw8jLy9Pr77jjDp/Pl5GRcfTRR+t33KBTqxCBO40V8x6qYFcHZA5HWKUVDz300KpVq7p27VpeXn711VdPnz79IJ9d881V6m2ljoPu5nxUBSVQAL/AyYYR5oRJCdwbpUwh1oy2vD6oVe3AOKXeUeoE6Aop4AQ3FMJv8GYYaftLSp0Hfcy6eD3ONA8yLGn7BjgKMswZsP4RqR2hH3SGBLCbNe+d4Xgz6/83XGwplv8OBkElVEMebIb+cAPsgLnwCPwDfoZYGBVwni2/h06nM4KBe0JCAhC6IH3mzJkxMTEVFRXLli3TcX9+fn50dPS1114buDgpKQmorq4O/JYQQgghRLshFe5CCCGEaJ8qwAZeAAoD5qbGxcXV1NRYOx1PnTr1qaee6t69++jRo9euXVtj6eHeaKF46FL31q9zr62tVUo1GrjPnj27e/fuPXv2LC0tnTBhQuucW/Ncr9Q5cCakQTxEgQI3VJgdPxqdk+kX4oclmnRn1gKt8jGOeUpNgm6QamnWXwC/wtmGcWLIbe9XagicAB0gDhzggQrLUGVgCRwPXSAxYETqedDRHKzqMyvftT2QA/+AG+u+Xwk+qIA8+B6GwwH4DfrBuZAE3cxmNfVE5E46HA6v19vy/WgxMTGEDNwnTZqUlZVVW1s7f/58wOl0er3exx9/fN68ebo6vp7Y2FjDMCorKyN1hkIIIYQQbZBUuAshhBCiHTIMoxSKzMA9B9ygzLmpY5Sy2+2lpaX1tsrPz09ISOjXr192dnaNpcI9nAqFEBW+jVYKR5wuIA0RuE+bNu3pp5/u3bu32+1+6623pkyZ0opn12RPKjUW+kMXSAYXGFAB+2EznGIY4aftmgTu9YRTz17P008/fbCr2rXVSp0Dv4N0s/Zcp+Gb4OzGjr5GqQvhaOgMieY8hpi6afsaOBW6QzJEgRuK4FcogkuhKyRDAkSDdUhsjjmjdWbdtB2IhXjIgP4wFvbB1/A72AYp0BtiwAuX1N0qUncysoG7HmsRrAPMqFGjOnXqZBjGrl276h3d7XbHxzfQMic6OtowjPLy8kidoRBCCCFEGySBuxBCCCHap3zIMWefXmXWk+q5qb3A7Xbn5OTU2+TYY4/1er0ZGRknnXSSTnUxA/cx4WWRbaS9TEVFBUEC9yuuuGLx4sXHH3+8w+H49ttvp0yZsnbt2lY7saaardQ6pU6CnpAOcWCDGiiE7fARXHSIuuS3G03N2Q3DmD179vr161vncxtvKXUydIcUcIEHimEHvA+jQ57AbUq9p9TJ0NPsyR4FUXXXGIbxOgyyjEitMT8w4TT7z6TVzdm17bANToU/hXEJfeFy+AE6wNcQY15FvTMJY09hsdvtkQ3cDcOoqqpq8LtHHXWUw+EoKCh47rnn/EfXE1YLCgpcLld2dnaDO/QPzxBCCCGEaJekpYwQQggh2qdrYTvUQhkkmHNTHRALmbCjpuadd96pt4lhGDqkzsrKqlfhHv740ZZPUh03btwLL7wQ9gEbsH//fsBut9d7f968eeeddx6wc+fO++67ryWHaAWrlToX0s36YgUeqIQDsA3GGsaZzdqttJSh6Y9/NsBQ8/dW/14d7MD9AaXOgGMh1WzWX20+aDnTMAaF3Ha5UpdDJiRDNLgaWjMR3leqvzkMAMuI1N6QAfENDTUthELYCsObeDkXwDaIBy+UwlWWb0X2TtpsNh15R4TT6QzWAWbmzJkpKSnl5eVLliwJPPrChQsD03bMFvMvvvhipM5QCCGEEKINkgp3IYQQQrRPH0JPqDYL1cvAC3aIhjQoKysL3MTn8zmdzsmTJ7tcrkozcFdgh4SmHLqFk1T1yNOWWL16NXUD99mzZy9btqxTp06FhYUTJkxo42n7Y0q9p9RAs223biSi89CtcKJhjG1ZRvk/G7g3o3XMt7DCkrYDNpuNgxy4L1fqfDP41gXmFbAXvoYzQx73BqX+qtSp0AvSISlI2v4gXAm9IR1iLSNSP4OBkGXOVq3nAOTBD01P27UjoReUBwybbdbOgrLZbC3/F4ifw+Hw+XyB/7a84YYbUlJS/K3bQxy9Xuwe2Y43QgghhBBtk1S4CyGEEKJ90j0L/Ll5AXjABdGQDPn5+YGb+Hw+XeG+e/furnUr3OOafgLNLnV/5ZVXWt5U3TAMHbhfd911xx13XK9evcrLyydNmtTC3R5sU5U6HYaYIy71cNRaKDdHUN4YiYDyfy1wb8b1lpifJBhgGAPqfksH7j6fL0JnV9/rSg02R5U6zBGme+Gzxn76Typ1DWRBCiQHWWMYxpNKHQ9ZkAROs+R8D2yAK6FrkA3zIBe+h7F1398IQ8O+tN8FnEzYm4Zl0qRJw4cPj3jgXlhYaH3z6quv7tWrF7Bv37566202W70Jq927d6+3QwnchRBCCNHuSYW7EEIIIdqnXwAoAx+UwA5wgw1cuu71zTcDN/F4PDpwf+ihh/aZA1d1hXtM4OowNFrqHiwJtdlsDTZkaNKh7Xb7n/70p9NOOy06Onrz5s1Tp05tyQ5bwTNKXQp9IcscjuqDMtgH38NphhGRtP1/p6VMM+rZfVAF++AXeBvObeiGH7yWMg8p9ZFSA82m6naogQOwFQY09tNfp9QZcCT0DJm2P6/UYHNEqhPcUAi/QhxMCJK2l0Iu7IV/B6TtNCVtB/5V92SasmlYUlNTI1vhbrfbfT7f+vXr/e9ccMEFPXv2dDgc+fn5K1asqLdeKeUP3Dds2ACkpKTU26EE7kIIIYRo96TCXQghhBDt02zALGx3wAQYDonm3NS+DW3i8Xiczv92a7/fMDYrhRm4R7fgTEInvA1Wuy9durQFB/wvm83WsWPH/Pz822+/veV7O6geVGognAApEAtOMKAaSmAffAoPRDSdbPeBe1Mv0AM28EKJ2bfnQsM4Pshim80W+klSM9yk1NlwEWRAIrjMJkIHYAtcEPJYC5Q6AQZAr+Br9Nm+odRxkGGZvlsA26A3HBFkw1Kzvv5TuLUFFwh8BZvN16tXr54xY8aiRYtatsv64uPjgZqamkjtMLAj/IABA/4fe3ceH1V59n/8c81MJgsJECAEUPaw75sLiBBQAXFBgbAoqyAIiAgqqysouD11rQtaq6hUbcX+tLbWKlZb6/JobRXZRHYCISEL2SbL3L8/jmeeCZmZTDaWcL3/6IvMnDlzz0ngZb/nyvd2u91ZWVn+1e3+CgsL/b+sV6/MbwfVbMW8UkoppdTpSSfclVJKKVU3rQbgR7u6HcgDr90P0yLQS4qLi626DEspGHCAM0gTdPgqDCjLTyJ36NAh2MGhJScnJycne71eh8MxY8aM0zxtTxHZIDIMOkIz+45IMWTDfvgahhtTs2l7HZ5wr+xIewZYmwMLFEAabIPX4IqKflap0QHtDSJToR+0hQSIsmte9sFnFaXtb4oMgyEVpe03ilhbpDaHWBDIh8PwHfQMnrZnQRbsgQHVTtu3wmGYYq8nJiZm8ODBTzzxRDV/keUEUVFRIlKzgbt/d9Add9wRExOTl5f3yCOPlD94yZIlQEFBgf+DkZGRY8aM8T9hDQ7gK6WUUkqdnjRwV0oppVTdVATLYSVY4VM6ZNnhezQ0DvQSj8fjdDqvuOIK60ur+OD99eu/evLJPdUuVSeMjNJKS60qhp07d1bhLXz5nTGm+r00te1xkRugJ7SERhAFBvLgCPwIFxgzrdZ25jzNr0ylVKE65iDk2rUqJZAFe+FzuMCYeyq65jW4aeqvRf4uciF0gGZ2aXspHIOf4FWYHvxd1op8LDIB+gQ/v3Wja7XIZOhkb8Hqv0XquCD33oBMyIRdMKiaHxJ2Qxp8Yy8JGD9+fFpaWqtWrWbNmrVy5cpqv8MvIiMjKRd5V4f/QPqiRYvq16/v8XjWrl0b8OAGDRoAeXl5vkc2b97scrkSExN9j/h3ziillFJK1VUauCullFKqbloNIwG/wfZUvxr3+EAvKSwsdDgcjRo1sr4sAQNffvlldHR0x44dZ82aVf1VhdPFISKffPJJZc9sDbZbf968ebMVuLvd7ios8iS4XeT3IhdA+7IVH8dgN3wEV9Za1G5NuPv/KsOZSPyE/6qPYCdkQgLEAPag9xboYsy48K55jQTuD4h8IJIMXezKfrfdaXMAFsEFxjwY/C1eE1kBw0O+hbXCp0UuhfbQGCLtt9gLf4GZQV6YC8cgA7bDCbdlvqvkxwQOwGH4Cu4qe9FuuummMWPGOJ3Ovn37Pv300yNGjKj8uU/kdruNMf6RdzWJiBW4z58/v0mTJiUlJV9//XWwg2NiYowx2dnZJzxuBfHA1KlTAQ3clVJKKVXnndn/T0MppZRSKoQc+3+twfYrwWoXbgLJgXqu3333XRGJi4uzvrQC99UvvLB3797Y2NiuXbtef/31NbKwcGL3Tz75JPws1X9e2xqQtyplfJ/ltPKCyGjoAi2ggZ20Wk3Z/4YhxiyutbTdIiLWLPCZpWohO2CMeRO+szekrQ8ue7/Q3fAJDK7MBbcCd/+mkUpZJPKOyGjo4febDV7Ig8PwI7wCbwZfz10iH4qE/nvo+/u1QWQgtIb4slukngdLg7w2FwohDX6w79j5/C/0ruSHTYU02AK3B7lFMXHixJ9//rlZs2ZTpkxZtmxZJU9/ImsLiuPHj1fzPD5W4J6cnNy8eXPgwIEDf/nLX4IdHBUV5fV6Dx8+7P9gYWFhVNQvW2A0b968ZhtvlFJKKaVOTxq4K6WUUqrOOgJAGpSAwD5IsPvcgxER3y5/xWBAIGX16rS0tAYNGvTq1Wvs2LE1tbwwp91DB6xjxozxH2y30nbswD0mJqamVlsj1oq8J9IXWkMTvyHro7AD+hszsZajduzc07c77mmuyiE79g/Y4/CZSH9oA03s3p5cOAT/he7GTKnkNa9Oh/trIpOhr13Xbv1mQwGkw074AAaGrOz/rchquCzkW1gLmyrytkhf+waDEzyQDlvh4uCvPW6P/H8LY/weHw9fQP9Kftg0e9PXG0L+Tb/99tvHjh3rcDj69+//xBNPVPJNyr5jWpox5siRI9U5ic+CBQtEpLi4eNiwYSJy8ODBF154IcTxkZGRXq/3/fff93+woKDA5XJZ/2zGxcUZY2qw8UYppZRS6vSkgR7UW8sAACAASURBVLtSSiml6iyrAuZqKAKBCttVrLQ6Ojra+tIXuDugzYoV2dnZ8fHxAwYMuPzyy2twkeHE7gTaVRW44447LrvsMv/F+5SWloqIb7b0lJsp8rrIEOgAiRAHTiiCLNgH/4QRtR+1W6xKmdM5cK9OyI79E2WMuUHkjyLDoBM098udM+An+ACGVemaV61S5lmRz0QugKSyPwDHYA/8E/oYMyv4OZeIiMiMkG/h+6u0XmQO9IFm5bZIHRnktblwHPLsbvfJZZ+9BS6o1KeFbMiAHTApvAs1efLkQ4cOnXvuua+88srixYsr+W6/sCLvDz74oGovP0HDhg2B4uJip9N5+PDhZ555JvTxERER5X/vITU11el0xsfHA9b9v/z8/BpZnlJKKaXUaUsDd6WUUkrVTVb09jsACsFA+YQ1YKDpKxspAisqc0AELF68uKioKDEx8eKLLx41alSNrzb82N1a9rp165KSkjwej/9gu89pFbg/LTIJesA5EG9XiOTCYfgeBhkz52Sl7RYRcblcJ/MdK1TNkN3i/1P0vMgs6AOtoZFdX54DB+Eb6FONa17ZCfcHRT4UGQqdoYVd114CObAfvoWuxowNeTYR+Z+Qb+H74PeJfCByEXSEZtCw7BapwX45JRe8kAP74G8w2++p3fAxXBTmR/VzBHbCtZW5yAsXLrz22mvdbveFF1746KOPVv49iYyMrJHNbC3W7/oUFRWlpaU9+eSTFR4fERFRWlp6woMbNmwAYmNjgaioKGNMDTbeKKWUUkqdnjRwV0oppVSd9S50BiAPDLhgfUUvefzxx32Buwe89oS7lc7OmzevoKAgMTFxyJAhI0cGG5atujBjd0BEli9fPmfOnFtvvTXgAVbgfso3TV0lsknkPGgHTaAeCBRCBuyCdyuZSNYI6wqfDoF7DYbs/j85L4h8InKx/csEseCAQru35w8wqnrX3FptOB3ut4n8UWQUdC9b154LqfADPAOXhVxMShgXx/rgKSJvilwB3eFcv1h/RsgtUjMhF0ohC/bARrjd79mfYAcMq/BzlnMAdsI7M4NtyxrKxIkTMzIyWrduvX79+ilTplTqtQEj76q59tprPR7Pli1bPB7PY489Fs5LnE5nwHf3er3WnT+32+31ejMyMmpkhUoppZRSpy0N3JVSSilVZx0Ba3u+LCgFR6DsrHyc5wupXX4T7r50dt68eYWFhYmJiUOHDh0xYkRtLNsYM3To0DAPDpbYng6B+29FLoPOdp9JhD3XfAC+huHG3HXS03bsShmnM3SZf22ppZDd8pLIpyKDoSu0hHg7dM6GffAlDDDmjmpfc4fDEc6doY0iE6Cv3R1v9fUX2Ln/+3CRMY9WNNj+Vsi38C3jGZGboT+0Lbs3wBFYGHyL1PF+O6n+BIPgV/ZT6bAdtoLvb/hfQ39aPwfhe8h/660qd6fMnTv3k08+adCgwciRI1euXBn+CwOWulRBSkpKr169YmJiMjMzCwsLw3yV0+ksLi4u/3hxcXFkZGRycrK1vLfeCv1dVUoppZQ642ngrpRSSqk6axZkAXAYisEBkbCzole9/fbb1h8KwcqurMA9xU5Ib7rpptrO3IGhQ4eGP/BOueS9uLj4FDaVPyLyZ5He0MqeazaQD2mwFc43ZuqpiNotJ3/CvVZDdiBF5GWRz0QGQWc4FxpBNEyCAvuaPwNjauiaVzjh/rzIP0TOL1vX7oFjsBs+g37GzK0oag99rXzX4U6RP4sMgU7QDOqDy66G/xk+hsGBXp4NHngdYiEDtpW9FXcU0uB7uBKAHfCninZq9fc95LzxhtfrrU53ylNPPZWSklJaWtqrV69f/epXFb8AAJfLVf0J90mTJnXv3j06OjorK2vgwIHh73HqcDhKSkrKP56fn+90Ops1a1aDA/hKKaWUUqczDdyVUkopVWf9Gg7D32E8FAHghsxyhwWL9vLtwF3ABXF+T1mZe7NmzYYOHerbtrSWVCp2xw4rS0pKTklT+T0ib4gMgvbQFGLtvTEz7TrsK05d1G45ORPutR2yW6aKbBC5BQaWjdqBAngCpsNnMNCYx2rusofocH9E5G92/N0CGtgj5NmwH76Bbsak1FDUDmwUuRp62OP8vp76A/AN9IaAm6wW2CPwefAzfA/+GzIcgcPwLYwDYBtsgdEhFlTOCGNExBjz3nvvVeZ1AUydOvXw4cMtW7Z84YUXZswIvWUsBC91Cd/111/fpUuXyMjIzMzMjh07er3e3NzcMF/rcDiKiorKP75//34RiYmJqf7ylFJKKaXOCBq4K6WUUqrOKoVpkAZAgV3j/jCEOXeaDVY45AAnxJZ99qabbvJ4PC1atBg+fPgVV1xRk+suJzk5eejQodbMe5gvsZKviIiIama+4VsiskHkYugE59gl2qVwHA7BdzDEmEWnOm3HToprNnCXcqp8qgpDdsuNIq+JzIUL7Qse7/ebBEdhF/wT3jRmYk1f84AT7stE3hUZYVeoW9u0+te1dzBmZEUrCbOuHXhK5O/23gAJEAMCBXAEtsLLQSLy41BUdgT+Q7jGftaqnzoE/4LrIQ22wH/gGvi2omtywgodDkeNVLsACxcuHDduXFxc3LBhw5YvXx764GAz5mGaOnVqp06drLR97dq1LpfLGJOVlRXmy0UkYOD+xhtvANHR0U6nszrLU0oppZQ6U2jgrpRSSqk662b4A3QDwEqqImANlO8kDpj0LTDGN+HutAeH/c2dO9fj8TRv3jw5OTklJaUGV+4vOTnZ+sPmzZvxC2RDv+q2224bM2aML6GrkSw4mOkiL4qMgK5wLsSDww5ArcLu/sZMOA2idkv1J9xrMF73LSnMbyswX2SjyAy4ADpCC2hYLmr/DHoaM7Z2rvkJE+4pIr8TGQe9y9a1Ww1C2+FdGBxG1B7mYPtSkfdEhvrtDeAfoP8dBsH9gc5QaG/ZehwOwrfQF+bYz+ZBJvwb+sCNcBgOwzdwEXwNfeHrMK6M75qISE0F7pYJEyaUlpb27Nlz3bp1IQ6rTqI9Y8aMDh06uN3uY8eOWe/idDorVbkuIh6PJ9izbre7mvcDlFJKKaXOFBq4K6WUUqrOehR+BmvjwnlQAg6IgrzgL5k2bZr/l6Vg7A738oE7cOONN+bl5SUkJAwcOHDq1Kk1uHggOTn5hLTdX/gR7QlqNi/+tUgK9IBW0Bhi7A6Zw7APPocRp03UbvHNIId5fI3H675lVPY7eKvIGyJT4fxyUXsepMFO+AR6VVTbUk1WX4oVKL8ocgucD+0hEWLB4VfX/in0N2ZBzXXIvCoyDnrZewNE+gXo/4ZeMCXQGfLsLRwKIR12wO/9RuALIRNS4T/QB4B0aAb/gmTYD83gCxgQ8pqc8H2s8cAdmD59emZmZtu2bZ966infPwsnEJGA25ZWaNasWUlJSW63Oz09/cEHH7QerFQDzNy5c4Fghe9er9cK3Ku2PKWUUkqpM4sG7koppZSqs0qhKeTAd/ATFNn7pmbZ9RH+rNTPqkTw5VlW2iT2CwO66aabcnJyGjduPGDAgNmzZ9fGBymftvurcvLuU7VA+VGRP4r0gTaQALHgsgu7D8J3MMiYG0+ztJ2QE+7ls/Wa/YWAKoTslttF3hKZBOdBEjSHBhBZNmr/GPoYM7n2L7ivUuYjkYugk70eX137PvgaulfUZlPh5X3Lb2b8MZHNIlaynwD1/H6FYhu8CSODnMQDbiixF/YFXAAr7Gdz4Rjsgr/ACMiB/bAD8mEMxEIL2Adx8GbwdZb/btZG4A7Mmzdvx44dCQkJ11133cyZM094duHChVVLtBcsWJCUlBQZGXn06NGHH37Y97jD4Qg/cG/cuDGQn58f8NnS0lKXy1Xl+wFKKaWUUmcWDdyVUkopVWfdYXe458JsKAQDbkiFYKmPx+OZP3++70trwt2qlAkWuAMLFixIT09v2LBhnz59FixYUIMfYfPmzaHTdn/VT94tFYbOa0Teshu0EyEOIqAUcuEwbIHBxkw5/aJ2i2/CvVazdf+3q873ZYXIH0RSYIAdtTf0q0c/Atvhr9D3JF5wX6VMN7/dSr12Wf9/oaMxl1e7rn0FjDMGWCTy/0SGQxdoAfXtZD8T9sBncCGsDHSGfCgGgXw4Aj9CN3srVMsxOATfQn9YAEdhP3wBXeEIbIEi2A314d8QrIEo4LdVRGppd9A777xzwoQJ9erVS05OXrp0qf9TDRo0wL5lGL7Fixe3bNnS6XSmpqY+8sgj/k9VKnCPjY01xhw/HniDjOLi4tTUVCBE54xSSimlVJ2hgbtSSiml6ixjzFswEQ4DkGvvm9oaPFB+AFVE8vPzHQ5H27ZtrUesvmErcHeHfK9bb7310KFDcXFx3bt3X7x4cXWWHaJGJkxWvPvOO+88++yz1VmJjy+SXibyusgg6GjPNbvB61fYfWEt95lUSsCJdWvCPfxKmSqoZshuuUtkk8i10B+SoJl9ta19aA/DNvgz9Ddmxsm64NeLvGnfmfB6vU3sniUr0d4Gm2BIteva3wFjzP3GAC+LTILedodMtH2n4RD8B3rApCAnKfLL5XfDJzDE79njcAB2QEew9jveC9ugG1wMe+ATaAM/QGcQcMHYQO8S4vtbGxPuPpMmTfJ6vT169Ljvvvt8D8bExEjIFvXyli5d2rx5c2D37t2PPvroCc9W6rZBTEyMMSY9PT3gs3l5eU2bNgUKC8vvoKGUUkopVddo4K6UUkqpumw8/Am6A5AJJfb2p3kQMCrLyckRkdjYWOvLEnvC3VFR4A4sXbp0165d9evX79at25133lm1BVc/bfcxxjidzpoae7cMh85wjt0eDhRABuyC92FMkIy7+lPkFZ42/PeyLsUJw7xVZgKp5jnvFfmjyBjoa3ej17d/h+A4pMJWeA/OM2b2Sby38ZLIPBjg1+Fu1bVb3/1P4Dxjbq1eh8xX8BBcbQzwsMhHIhdCEjS12+EL7BL2d+DSICcphGIwdi7/HfSG6X4HpMMBOBcusB/5AVrDYPgZvofe0AeiIR7egW9hYrl3CfGNnjdvXqWi6qqZNm1abm5uUlLSQw89ZD0SFRVFZRLtVatWJSQklJaWbtmy5de//nX5Ayq1x2lkZKTX6/39738f8FmPxxMXF0fwknellFJKqbrEdaoXoJRSSilVu/bDubAdvoNO4IYoyIBmUAwRZQ9+4IEHNm3aFBMTY31Z7FcpE1H+1OXcc889CxcuPO+885KSkh544IEPP/ww/NzcfyPE6qftFv+m8oBN05U9YUuIAhcY8EAuHA0efQZU5cy9psyYMaPKr62p+xbB3C/SE66CxlAfou3/WC+BAsiCQ/A13GLMBRWcqSY9LtITBkFjqzzdnnDPgqOwE64wpmfIM4TzTX8fBhgzAG4SuQwug6ZQHyJBoBhyIQ1+hPHBT2JVRXkgGw6V2+k0B7Kgid8je6CNfUMOaGf/IRb+C4nQF3LLvUvoHwPrdl1tB+7A3LlzH3vssZYtWz722GOLFi2KjIwkeIu6v1GjRp133nnx8fGFhYUrVwbs42Hq1Kljx44Nv3Ld7XaHGOrPycmJjo42xoSzPKWUUkqpM51OuCullFKqLlsHLSALjsMEsIY/3ZAGxcH/Syg62qrK+L/A3RFe4A488cQT119/PdCqVasrr7xywoQJ4byqNtJ2Y0zo4pQqzGV3gbbQElpBEvSuZNp+BqmN0fUQ1om8JzIaekNbuxnfBSWQA4dgC7wJA4255SROtd8t8r7IJdAVzrXr4ydPnw7Me+SR/0AnY66ozFR7wKz8G3gaRhkD/EZkKlg78TaGaHtWPRW+h27B03YPFEMp5MAB+Lpc2n4U9kGrsg+2CXK2JBgBHsiC5LJPVfhjYP3rEf5seHUsWrRo165diYmJv/71ryMiIoBgLeo+06dPv+iii+Lj4/Py8oKl7UBiYqJUZo9Tl8sV4h7Dxo0bo6KijDHZ2dlhnlAppZRS6sylgbtSSiml6rJlcBUchgwA8sELLvgOPCBQPv655pprrFlRoAi8lQzcLdOmTSssLExMTBw8ePCcOXNCH+xfI1NTaTvg9Xor1VR+Qrj8QKBjfq6pxZ1mTma2foKHRd4XGWVH7U3tqL0YcuAg/AAbYJAxd5zEVd0g8nuRq6EXtLKzb+yyfmPME4sWJVe+QOatsl/+DB9CX2PmGbNW5EORQdABmkEsOKEQ0uEneB+GBX8va3PUAkiDrdAZxpQ9YA8k+E2yh+n8cveTwvnBsP71OAkT7pZVq1Z9/vnnDRs2TE1NNcZkZmaGOHjhwoVdu3aNiYnJzs6+6667QhxpNcCEvwVr6MAdewQ+LS0tzBMqpZRSSp25NHBXSimlVB33KrSG7XAQssALTrgaCsCAG7aWe4kvcPfYVe+OyjfxzZo1Kysrq1GjRv369bvtttuCHVaDpe0nsDrc/Wfnw7RKZKPIQPgOdsJe2A97YKtf58aZ67nnntu0adPdd999SuJ1f/8j8heREdAL2kACxNpRezYchP/CszDYmLtO7gp/KzIL+kN7v/50X/a9ecMGQm4KGrqr3RpRT4P/wGa4xJipIn8QGQXd7O0BIqAEsmAffAn9YUGQsxVBMRRDFuyFVnBR2QOOAMEn2UMYD+/6fRn+z4nb7eZkTbhbnnzyycmTJ1udLQkJCcEOW7ZsWevWrV0u15EjR+6+++7Q57TOFv4WrC6XK/RHjoiI8Hq97777bohjlFJKKaXqBg3clVJKKVXHXQ85sBAK4QiUgAuiIceedo8p95LFixdbfxCwYsXKTrhb5s+fv2/fvtjY2O7du993333ls+/aS9sBr9crIr56nHAsFHlZJBk6Qwt7Z1QD+XZbd8CilVM4Hm4Jc1X+y6vU7H+Ne1zkA5FLoUe5qD0LDsB30N6YIcY8dHIv5pMin4gMgo7Q3J61L4JM2AtfQC9jAGNMwMA9nH1xX4Q9sAV6GjPTmPUic6AvtIEmEAMG8uAw/ABd4Jrgpyr2O/h76BHomMSwP7u/w7AArrS/rNSPdEREhDHmZAbulttvv/348ePnnXfeggUn3p4YOXLkPffck5iY6PV6d+7cuW7dugrPZt10DD9wdzgcoftnKhyBV0oppZSqM3TTVKWUUkrVZXdBK9gLQB5cCakQDZFwFFpDJETDBzCi7AtFxBhT6Dfh7oQUkTcrGYAuW7YMeP3119u3bx8XFzdp0qSNGzdaT9Vq2o5dKWNt4VihFJFL4XJoAnEQCS7wQiEchyPwb1ge9mc/VTPj4bDuQ5yqvVufEukEw6ERxEIUWNvaFkEeHIN9cIkxSSd9YfeJDIDh0MRemEAJ5EMG7IbhxnQG7B1QTwhPw7meBZAL++A/MNmY+0TOh4vsd3QDUAg5kApfQ4gmpiIQKLIL7vtV/XMHcBS+g0P2l5X9YXa5XED47ec1aNq0ab/97W/79euXnJzs+1dlxowZF198cUxMTEFBwfLly8M8ldvtNsYUFBSEeXyFgbvT6Tz5NyGUUkoppU4JnXBXSimlVF12rzGzYDYAqyET8sBABGy1Y7tIaBjk5Xl+He4uiKrqMiZPnlxcXNy8efMhQ4YsWrSI2k/bsQP3mJjyE/wnelJkKvSE1tAYYsBp7xi5Fz6HkcaEn7af5qzR7JM/4f5rkY9EhkF3aA1NoB447PnxffAtdDTmkpN+nW8SeVvkSugJraCRvVVpHhyBH+F1GO63Kitb9024h3P3ohTGw1HYBt2MmWzMmyJXQHdoCfEQCSWQDfvha+gbMm0vAS8ch4PQ3E7bg22m6lPhAZYM2Aq7YBpQpVtHLpfLGHNKAndg+vTpr7zyCva/MLfeemu3bt2io6Ozs7PDT9ux5/Tz8vLCPF5EQhe+a+CulFJKqbOHBu5KKaWUqvvGw9NwLRRBFkRDfZgD+QC4IQ4eLvcqEckEa45XwAVx1VjD9OnTMzIy4uPje/fufe+991oP1l7ajj3KHRUV6jbBgyJvivSFtoE6xL+B4cbMrytRu+XkB+7PiXwskgzdoKVdnOIAj13V8jV0MuayU3GdXxGZDv2gHTS17wEUwlH4Cf4KFxqzqtzCrEqZMKN2a0b+HlgCFxnzjMhnIv3tHznrdpAv3O8MVwU/22NQDAWQDtuho99TbwV9UbgHAMdgB+yCuZUpbT+BNeEe/najNc73r8rdd9/dunXriIiIw4cPV1jafgKrcj0nJyfM40UkdP+Mw+HQwF0ppZRSZwmtlFFKKaVUHXcvtIO2cBHshf5+T+VAgl3j3jzQa5fAaDB2pUzFs+IhzZ8/f8WKFT169EhKSoqLi/vqq6+qd74KlJaWiohvA9gTrBZJgv7QAOIhAsSOR63NKicac3Gtru8UsQL3k1Mps16kAwyBhhALkeAAAx7IhXTYDaPtqpaT7GmR7jAQGkE9u9GlCHIhDbbBNcb0DvTCgJUy5ZWCBzLs7P4qYzqJ/FlkiF1bZL2jB3LgMHwLM4Of7W8w1O64T4NuVfnEFThm7wo7o3qdSE6n0xhzCgN3ICkpqX379vXq1fN4PNu3b1+/fn1lz+B0Or1eb2pqapjHi0hhYWGIAyrsnFFKKaWUqjN0wl0ppZRSddzdMAWOApAH/hOb6VACDoiGJkFSNt+EuxMqsf1ocM8//3xJSUmLFi2GDRu2ZMmSmjhlYCUlJSLidrtPeHylyAaR86E9JEJ9MOC1p4y3w0BjJtatqXZ/J2fC/UWRv4tcDF3gXGgM0SBQaFeifwFdjRl9Kq7z/SIfiCRDFzgHGoLbbnQ5AN9CF2OuCbQwsRljQgTupVAAGbDH/phXGbNRZAz08OuQKYUcOADfQO/gafsPsBEutn8+E2onbbduDHwJU6q9A4HD4TDGhL/daI1bunRply5dYmJisrOzGzdu3LBhsMasUKzA/eOPPw7n4CVLllRY+F5h54xSSimlVJ2hgbtSSiml6r7X4BoAfBUxlh3gAYEoaAg3iJTP2vwD9yp3uFtWrFjRtGlTYNq0aceOHYuPj+/Tp8+6detGjhxZvRMHZgXuERERvkcWi/xG5CLoAM2hgf2JCuAQ7IJNEDBprUuspLiWJtxTRH4r8qnIYDtqb2Tfpym0R9o/h27GXHUqrvNCkU0io6EHtILGEGXXtR+GH+E3cGnwqN3/kZdffrn8YVbUfgx2w5fQxZgrjXlK5O8i50E7SIB6IJAPR2Ar/BZGB1rqcTgA/4K34GrIhN3QpiYuQnnpkAbf1ETajj3hHnrcu5Zce+219913X4sWLRwOx4EDB1atWlVcXNylS5fFixdX9lROp7PCX2LwadCgAZCbmxvsgLlz5wKn8CaEUkoppdTJpIG7Ukoppeq+6wB4DQ6Af6nBTLBmMiMgDjoFem0pGDtwD1zOEp5ly5Y1adIkKyvLalieN2/e//7v/7pcrnbt2l199dU333xzNc4dmP+E+xyR50WGQWc4B+Ihyh64PgZ74BMYbcy6up62U2sT7pNEXhFZCIPKXmTszvFd8E/oHmR4/CR4VeR6u67dF3wXwFHYAX+BgcbcX25t5aP2SZMmpaSknHCYL2rfY0ftVxizVOQ9kWToDM2hPrigyE7k/w6D4IFAS82GmfBf6AuL4BAkQvl+m/urczlsaXAYusCkqpa2n8DhcHi93vz8/OqfqlIWLlw4cODA+Ph4j8ezaNGihx56CLjxxhtLS0u7det2yy23VOpsDocj/MA9JibGGJOZmRnsgMaNGwOn5CaEUkoppdTJp4G7Ukoppeo4K0T7M3SGCVAIf/R79jh4IQLqQQsAVq9e7f/yEr/A/cRylrAtWbKkadOm2dnZ99xzj+/BBx98cOLEibm5uQkJCQMGDFizZk1ycnJV3yEAqzHZ5XI9LXI5dPUbuBZ7/9j98AVcacyKsyBqt9T4hPsMkVdFFsBA6ATnQCO/qP0o7IJPoacxY0/RRX5G5FORCyEJEiHOL/jeA/+AvsbMDiNqD+iEqL2z3ZPzqsg46AUt7QtSCsfhIPwbesKUQGc7DvthGwyCiyEddkKS/WwBZMHP8FcAVlb1gvhkwgHoXhOD7T5WpUz4241W3+jRo++9994OHTpER0cfO3bsjjvu8H929uzZxpgePXosWLAg/HOKSPiBe1RUlNfrffXVV4MdEBsbC4TunFFKKaWUqjM0cFdKKaXUWeFnyAAgF/xT7XQo9qtxB44dO/b222/7DigBQMBR1cB94cKFLVq0yM3Nvffee8s/O3PmzG3btkVGRnbo0GHcuHFz5syp0psE4PF4RKTrnXf6+kPqgROKIQcOwjcwyphFZ03UbrFixBqZcJ8r8rrIjXABdIIWdju5gXxIg53wCfQyZsIpusjrRP4qMhS6QIuyde374Rvoasy46kXtmbAXvvKL2h8T2SxyAbSHpmVH6bfBGxCsQekgbIe/QC+YAgfgHDjPfrYIouEAfAmXAZAP6fAjvFmli5MOO6BvjabtgIh4vd7333+/Bs8Zwi233JKcnJyQkFBaWrp9+/a77767/DGzZs0SkZ49e4b/z4vD4SgpKQnz4MjISOsXR4KxRuBDdM4opZRSStUlrlO9AKWUUkqpWvckRMN2+AdkQwvYCR0A2AndINKucZ8p8htjNm3atGLFigceeAAo9ptwjwj9NoHMmTOnY8eOhYWFd911V7BjVq1aBbz88suJiYkXXnjh6tWrP/74Y6t5psoeEmkH9aE+RIMLBEogH7JgL8w8y3J2nxqZcF8q0gemQwI0gBhwg0ApFEIOHIEtMNWYPjWz6kp7WKQTjIKmUB+iwOEXke+D1+CZQFF7OCf/3e9+N2bixExIh59hlDFWHdMikWEwHBKgvl3BVAzH4Qj8AJOCnDAVjsDHMAE6Qhq0KnvAcUiDr6A7YH+QbDgI/4Ab4CAcgPPDvj7Y+yTX+F+DSpWxVMdVV13Vr1+/pKQkh8ORmZm5cmWoif8bbrjhhRde6N279+TJk19//fUKTy4i1q/IhCMivLrBuwAAIABJREFUIiJ04G4l8llZWWGeUCmllFLqjKYT7koppZSq+26GIugAB2EfFMMx+6lpYHUtR0B96Gw/HhX1yw6pxWAlSY7KB+5Tp07t0KFDUVFR6Czsl5VMm7Znz564uLjOnTunpKQsXLiwku/2i9UiG0X6QRtoCnEQAaWQa2+MOdyYszZtB6y53apNuF8v8rTIuyLXwHnQwR4bjwQv5MER2AEfQj9jpp6KizxR5AWRv4mMhL7QFppATNm69j/BRcackLaHP9VeCJdMnLgXvoZOxoyyz/OyyCToDa3t7Vi9kAuH4D/QI3ja/j38A7rDOPtu0Alpeyr8BH+zp91LoBBiYTt0g+mQDtugPWyDTWFfq1oI28GecK+NM/tbtGjRkCFDrMH2bdu2hfMvzKxZsyIjIy+88MIKd2m2ymfCn3B3uVyh7zG43W6v17t///4wT6iUUkopdUbTCXellFJKnRVSIQ+SoS/sg91+Tx2HhLI17kBkZKQxRkSK7Al3B0yFqSJh5nSXX375kCFDSktLly9fHuYib7vtNmDDhg2JiYn169d/6KGHPv/883feeSfMl6eIXAnnQ0OIgQh7qNmauT4EE8/inN3HihErO+G+VqQ93AjxUB9iIBYi7Kl2a9r6MHwHNxrTv3ZWHtpKkZ6wEJrYQ/eRcD38Djz2hPgWSDGmn9+rwr8OpVAMWZAO327cuH79+o8++sh66mGRvnChXVtk3ZfyTaB/BkuCnPNH2AldoCPkwjFoV+6YH+AfMN7+0uqLT4O3YBBEwFb4EQbBfmgObcL7OLWUtlP7gXtKSkrPnj3bt2/vcDiOHTtm/X5MmGbOnPnSSy+NGDEi9GENGzYEioqKwjyty+UKfbDL5ToJNyGUUkoppU4TOuGulFJKqbNCYzjHHmw/DqPhoP1U+Rp3Y4zb7bb+4AEDzaCbfXyYGeVFF11kjPnss88qu9QpU6Zs3brV7Xa3b9/+yiuvDCevnyvyrMgM6ADNoYHd5mGVXP8EFxujabvFKsoI85t4m8hLIn8VGQF9oSO0hCYQB9Ps3xtIha3wHpxnzI2n4iI/JvInkbFwPnSCc/36+jfYde3/C92MSfFbXpgj7YAXCiEL9sH/wn/fessYY+Wnc0U2iYyArnAONLA74q1i98/hvCBp+3b4M3SAy8EDx6BhoLT9Pejul7Zjr6E7XA4Z8B10gQHwEzSBXfZ2tSEYUxtFMv+nUtuNVtby5csHDRqUkJAAbN26tVJpu+WHH36Ij49/8MEHQxwTExNDZQJ3p9MZehy+whF4pZRSSqm6RAN3pZRSStV969evLwIH7IJ/QAaUQI797E4oAvGrcfcF7oApV3ARjnvvvdflcu3cufO9996rwoJXrlw5fvz4rKys+Pj4Xr16Pf7449OnTw928GMil9qbdja0A8dCyIDd8D6U3xXzbGbFiKGz5hSRJ0X+n8hYuBC6QmtIhAYQBQIeeBJSYQtsgguMmXfSL/JskZdENotcCr2hPTQv+wNwDPbBHOjgV/witgrP77Wjdqvz/RvoYMxl9nk2b978G5Fp0NfukIkGY9+B+B66lQ3K/f0N2sCl4IXjcBCaBzoGuKLsg5uhE1wOR2Ev/AvawG6Ig2bwA0RDl5AfqlajdkstTbjPmzfv4Ycfbt26tdvtPnr06M033/zUU09V4TyPPvro/v37ExMTV69eHeyY6OhooLCwMMxzOhyO0IXvGrgrpZRS6qyilTJKKaWUqvuKiopuA+AD2AMe6ATpkAuxMA3Gwxt+Ne5erzci4pfC9oJAJ5SQxTIrV66Mj48/cODAiy++WJ1l33DDDcDvfve7li1bNmrU6P777//44499PR7AWpE20A3iIAqcdhacC+nwA3TetKl9RkZ11lD3FBQUEDxwXyOSBPP9qmMi7XIeAyXggTzIhIMw2pg2MPCkLh/gXpFucAM09muPcQL2Co9DOuyGq415E6hkhY6VFhdBHhyDPXCJMR3sZ60f/hSR1dDYrtYBCiEbDsG/4OYgZ/4EzivbOXNuoMOWwCWBHk8GYCf8Gy6E+rAdkiAe9kEshJiyPglRu6XGJ9zHjh3bu3fvbt26uVyuvLy8xYsXV/OEd95556OPPtq8efNly5atW7eu/AFut9sYE37gLiKhx+EdDkf4jfBKKaWUUmc6nXBXSimlVN33008/AS/BDrgeboBE2AIe+4D7wetX415aWupy/TKXkAs/BTpnsARzyZIl8fHxGRkZjz32WI0sfuLEiampqbGxsV26dJk8efKKFSuAVSIvi1gbVDaBeuCCYkiH/fAlXGHMMmOMMVXbHbQOW79+PeU2TV0k8huRD0RGQX+7OiYB4sANxq4OPwA/wHvQ25jRp+L3Bp4S+YvI1TAAOsK50AhiwAFFdt69Bf4EPY252hgqUx2DPdVudbXvh39DkjGX+H3SqSKAMeYxOAca2h0yVuHMl9A/SNr+T7gXBpY9vnzabv2deTTkIjvAZbALYqEp/AB74HsosXdVLe+kpe2zZ88GajBwX7Zs2eDBg5s2bWqM+fnnn6uftluWLFlSUFDQtm3bm266qfyzVuCen58f5tkcDkeFgXvoEXillFJKqbpEJ9yVUkopVfdZo5qHYCUA/wWgLWRCEbjhKLQEt13jnuEXuKeBF45AYrnTlp9znzt3bvv27XNzc9euXVuD658/fz6wYcOGJk2a1K9ff72Ib2dUNwiU+LVs32jMKPuFxhin01mDK6kzrAw6RWQQtIYUiIdY+5K6QMALRVAIx+1+nonGdIGhJ321C0UGQCsYDg0gFiL9Fllgj6IfgEuMaQMXVH5XWGuqvdhvqn24MUllj1kvMgcOA9AEXOCFXMiEPcEvy5fwL+gL54PX/v2ANuUOewlmwKKwF9wbvoRzIca+SZAc6LCTFrVbGjRoQA0F7gsXLmzdunW7du1KS0szMjKsO2016Oabb37uuee6des2duzYP/zhD/5PWXucHj9+PPyzhR6HF5Hi4uLNmzdXca1KKaWUUmcUDdyVUkopVfdZbQZOeBt2wTEogp7wX0gAYCd0h0iIgnh46/rrh7/2mvXalcZsFwH2BEoJT8jcW7dunZ+ff88999TGp3h36tTBcA50gHoQCQ47b82BQzC1XLbo9Xp1wj0gEdkochM0hjj7epavjsmCg3C5MUlw/qlY51qRLnA9NLYrbtx+7TGFkANH4ScYb0xn+6OFf/4i+/8P+KL2vTDMmPZlD7tP5HwYDI2h77hx1v4GHsiGVPga5gQ6+TfwLXSFviBQBDnQLNCROVA//EXbrO9IGnhgTKADTnLajt1+Xs3AfdasWUlJSV27dnW5XPn5+V999dWrr75aQwssY86cOS+++OLAgSe2IrlcLmNMRnhtVHPnzh05cqTV1BRMhZ0zSimllFJ1if4fMKWUUkrVfc8///z9998fDddCd/gRegBwCKyag+lgtSe4IQ46l60cscIzgU8DndyXb1qbEH7xxRe18REeEhkLXewej2jA3hhzD1xiTPm0HbAqZZKTA87+no0WiLwgYowRkf7QKVB1TCYcsItZehlz+SnacvZZkb+KjIZ+0AHOgUYQDQ7w2Iv8Ht6GPsaMNyb83VCBLPCA124iyoYD8B20N2ZY2c/7kMi7IldAdzgX4iESSiEb9sPX0NdO20/YInUDtIUpEG1vjnooUNpu/b2rQtru0xRalnvQGHPy03YgMjIS+w5fFUyYMGHNmjX9+vVr0qRJaWnpzp07Fy5cWEtpu+WHH35o2LDhmjVr/B+09jh99913wzlD48aNgby8vGAHLFiwQEQ8Hk+wA5RSSiml6hidcFdKKaXUWcFK3zaAVbcyAoCRcASKIQJyIAFcdo270+kcMWLEBx98AJSCAQEn3Ad3lTu5iKxYsaJ+/fp79uz585//XLMrXyrSHXpCfYi2/+vN2tAyA9i0KT8r65577vn73/9evrHB6/WKSGxsbM0u6Uz0K5E2MAniYQeISDNw2r8lYFXH5NrVMROM6QJDTsU6bxfpCy1hKDS0R++tb3qpvSOuNYc+yph2MKiSI+1ZEG1vW1oM+XAM9sFQY9qVPfIZkSQYBY0g1v7Z83XC7IPBZY9/y+8Pg+17GNibqZ5TbiUeKICY8JcexFflqttPSdRucbvdVClwT05OHjx48ODBg6OiooqLiw8cOFBLvyhzgl/96lfr1q1r1qzZ0qVLH3zwQetBh8Ph9XrDPENsbKwxJicnJ9gB8fHxVNQ5o5RSSilVl2jgrpRSSqmzQmlp6S3wCLwK10OW/XgexAOQDp2g1K5xPy7SpEmTX14LgAOcEAnWfPQJ53/ggQeohaTvCZHzoCnEQIRd125NYf8MNxvz2muvNW7cuEGDBq1atVq1atUJk6pWpUy9evVqdlVnkLtFOkJzGGZXskTBDpg8axZQAvl2dcwhGGVM++Abb9a2R0Q6wgS75cZqj7Eqbort4qA02A7XGdO1kjn7XmgQKGrfD0PKRu2zRQZDG0iGeL/E3wH5kAOH4VuYGehd/gi97N/AcEIJ5EEadAFgvF8onweRlb9EJ0iF47DD75FTGLVbqha4L1++fMyYMfXq1SstLT169Ojy5ctrZ3WBLVu27PHHH2/duvWMGTNeeuklwOl0hr/HaXR0tDHmyJEjwQ6wEvnwt2BVSimllDrTaeCulFJKqbOC1SDshkj4ClLt+C8dmkERvApZIL7NUcePnzt3rvXHEr8JdyslDJi5E2gb1Sq7V6Q9dIQ4iPPbHtOq8rjBfpfrrrsO2LhxY0JCQsOGDV944YVdu3b5tmz1er0ul8vqlT6rzBXpC+fCFfYuo1F+7eeXXnNNoX0x02ArzDWm1yla6mSRYdAWRtgbt0bZN1e8UAj5kAmH4J+wwpj+NRG1WyPqJ0TtK0X6wCxoAg0gxt4nwECRXWKzE0YHepc/QxtoAvXADV7Ihyxo5XeMlbZ7IB+qfwvoMByBg3CF/cgpT9sBa7Pl8NPqZcuWtWjRIikp6dVXXx09evRtt91Wm6sL6pZbbnnuued69LCqthCR8Gvoo6KivF7ve++9F+wAK5Gv1BasSimllFJnNA3clVJKKXVWyMvLW7NmjXvVKi8chGvgALwFP0EHcMPV0LDsS3yD4VbgDjjslgxqM3OfI9IXetuTwlbLttWCnQrXBTr5pEmTgDfeeCMxMTE+Pv7555/fsWPHI488UlpaKiJRUVHVWc+Z5RGRtnA9xPvNibtA7ODYVx2zB1JOXXUMsEqkJywoG3Bb/3VeYrfHpMMeuNKYDjBUZGXYUfvXkGCfNsI+p2+q/WJj2vod/LBIFxhrb80aDW6/xN/XIXNJoDf6GzSGBKgPUeCAYjgOh6Fn2SOLwQMZ0KKSF6q8HNgFh+z0/3SI2i3WdqPhBO5W1N6hQwcRyc3Nbdeu3alK2y1z5sxZv379fffdd9dddzkcjvCH9CMiIkKn85GRkcaYzMzMmlimUkoppdQZQAN3pZRSSp0Vzj///D179jjhOMwCwJq3nAwHITZQwcWjjz76yCOPAMV+E+4RfgfURub+kMgwuzXbbXfI5EM6fA/3hjzthAkTVqxY0adPn+bNmzdq1Oi5555zu90iYm3kWLetEukELeASqG8XoUSAtfVtiT1YbY2KF779dk5OzrRp007Vah8T6QDXQiOIswNu3yy5NXp/BLbATGN6ilCZkfavoGmgqD0T9sO78JDfT9GzdlG7dX8iyr45UeqX+O+Cq8u9y27YB43sn9UGUAJeu2L+57LpfDGUwnFoVNUr5i8TjsJeGAOcTmk74QXu/lF7Xl7eli1bnn322ZO2whAyMjISExNvvfXWIUOGVCpwD134vnfv3t27d2/cuLEm1qiUUkopdQbQwF0ppZRSZwVrBjMXmsFj0AjS4SMYDtnQBFzwD7go0GutwN1RdsIdmD179tq1awMWLltBfKWiwNtFukA3e1LYac8XZ8F+mGvMuDBOYlXJr1mz5qOPPrrtttsOHTokIlavdJ10g8gAaAlX2dUx0X7VMdYF9LWfb4U5xvSCt99+u1KtLDXlRpGB0BouhYZ2e4zLry8oz25uGW5MWxHrA4Z58jegbfCo/QD8Ge43ZrC9El9R+wlbs5b4XbEfYUq5N9q0aVNmZuaGmTNn2x/Baa8/Bw5BP7+DreDZ2jf1XL/HM6Bx5S4eQA4UwRH4DiaeZlG7xel0GmM8Hk/AZ5cuXeoftf/444/PPPPMSV5hCMuWLXv66aczMjJEJPxWHJfLFTqddzqdwS6IUkoppVSdpIG7Ukoppc4KxcXFpaWlTpgEL0Ar2AZXApAKrSAKtpd7lTWrXuRXKeM/4d66dWuPx2OlftUcdX9Y5AKI94tKiyAX0mBy5VPFVatWrVq1au3atQ0bNoyMjBw4cOBvfvObvXv3fvrpp5s3b67s2U5PD4m0g+l+1TGRQapj9sJ4YzrDxadutfeJdIOZ0MTeuzXSvitQAoVwHI7CLvjltkpl7gf8zo7aG9r3G7Cjdutuzd/gHmOsm0mrRHrDDUGK2q2XpMKgQG+0Hw7BITDGLCn3wkbwnl+jugccUGr/GHe1Hz8OcVVK2z1QAKlgFY2fhmk74HA4ygfuycnJgwYNatasWZcuXYwxubm527Zte/rpp0/VIkOYP3/+nj17qEwNfYV5uohUdhdZpZRSSqkzmgbuSimllDorFBUVeTyerPvu4667imA7DIB82AXt4ShEwTgYVa5gWkTeAa9dKeP7j6dVq1bVq1dvx44d1pch6mUIGQ7OFLkAOkFjO8EshQLIhJ1wWzVSxeXLlz/xxBNffPFFz549ExMTGzdu3K5du9WrV3/66acffvhhlU97CqWI9IZz4By41K6OiSpbHVMEeZAFh+Bv8Igx55U7T7BvVm14WqQ9XGXfGIi2V2vsBDkLDsN3ML+SZ74RkqGd31S7L2ovsKfaP4Y77aj9Eb+i9rhARe3HYB9cGui9DkEq/AWugUMw7YYbfB/B6pDZC9hpexG47GVkwV6wxuqtEf64qlzFX8bn98CA0zVqt1gT7oWFhdaX48aN69mzZ0pKSkxMDGBNtT/11FOndI0ViI2Nxd5lOhxOpzNEnj5v3rwmTZrojqlKKaWUOqto4K6UUkqps4LH40lNTW3Xrh3QFMbBnwC78iIXGoIbUgO91rdpqtj/8ZScnDxixIj09PRXXnnFd1iIGDfYqPu9IsOhiR0cYw87H4IZNZEqFhUV9evXb8uWLT///PNll13WpEmT+Pj4Nm3aPPjgg99+++0bb7xR/bc4CeaKdILmMAvqw//AryDKro6RctUx22G2MT1hZPBz1nbgfovIAGgFw8p2tlj16Pl+AXeIRQZkjJktMhzaQqJfgYz4Re0H4RNYYYw1qG4VtY8MUtR+3C5qHxPo7Q7DYfgYLoduEAFXX3ONVSBzvFzDezE47Zn3KPgB/guT7V84OAqtAMiE+Mp85OOQYTfSnM5pO/aEe15e3owZMzp27HjZZZdFRUV5vd6cnJzvvvvuxRdfPNULrJh1b8Dj8UyYMCGcfyJEJEQ6HxsbW1paevDgwZpcolJKKaXU6U0Dd6WUUkqdFfLz80eNGrVz507gCACj4Y92aLgbmoEL0qEAosu+tgCsPQF9lTLDhw8vLCy0tlT1Fzpzp2xc+IRID7sGxGmHkunwHdxfQ6miVfXgcrl8Sd/GjRsbN27cqFGjNm3aPPnkk6dttQWwTKQNNIUJEGffk4iEp6GeXR1TbEfG1pD1uPCqY2p1wn2tSBe4Dhrb7TFuO4a22mNy4Chsh8mVOa31k/OIyCaRGyARGpaL2rPgIHwKS40ZCHNFBpUtao/y67Gx7k8cgf5B3vEIpMFncCl0sX/yS+2PkAZ9/A4u8Rvbz4MM+Ct0By9MtveA7Q55kFPJtB17KP40j9otDofD6/VmZ2dfdtllbre7tLQ0PT198eLFp3pdlRAZGWkN6ffq1Suc4x0OR4jA3e12FxUVhT8vr5RSSilVB2jgrpRSSqmzQnZ2tohYMWsuvANjoAN0hX2wEzqAG7bZKaHD77U5dqWMA5yQItJrzZotW7YEfKMQle6+x5dAN0iCOLsGpAhy4CDMNmZ8zX3qgoICEXG5/u8/+SZNmgRs2LAhPj4+KSnpnHPOWb9+/Z49ez7//PPTod49RaQHnAtNYLRdzm4Ns7vAYefspX7VManwKdxvzIBKvldycnINfuQUkeHQDkZDvL19q7Vmrx1DW0U3X8IdYZ/W+nG6U+R1kRYwAhrAbbDBjtpL7eL1g/BPuM2YC+FOkd4wAxLs4h13uaL2Q0G2CAaOQjp8AcnQqexmqtn2lLpPif0ZrdL8dPgZrgCvvQ/BfvgRzodMOAQ7IQ2O2FXs4V+E09/y5cv79Onj9Xqvu+664uLi1NTUpUuXnupFVZrb7TbG5Ofnt2zZcsmSJY8++mjo40UkRIe7w+EoKCio6TUqpZRSSp3WNHBXSiml1FnhgQce2LRpU2Fh4Zo1a5auWgX8DdIAyILJcAhiYRZcXq5mej5YTe0OcEEsHDt27K233grxdiFmqO+CbtAIYsAFXrsGZBusqOlgMTs7G/AP3C1TpkwBnnnmmRYtWpx77rmJiYmdO3deu3btN9988/vf/75m1xCOWSJdoDncAPXttNoqZ3fZNz+MXdFuBbvHYTvMMqYnjKjk29XshPsdIn1gISRAA7s9xmmn4Xn23q177E16w1whMFdkvUgruAYa2pfFDRv9uv6tqP1zWGz+P3vnHSZXWbf/zzNtey/ZTbJphCQktIAUFYEFQxGQHiAGEooBJAYhdIEEEAUEpEgTEJGmoYoKvoISUQHlRdBXBAIJpG6y2d5nZ+ac3x+Pz/k9s1N2drMh2ez3c+2119nnPO2cmXAN97nn/rpfhNuUmgYnpA5qb4RpKRbVHRrgf+ErMNnY4SNGo58Y3z9mZtbxMvWwuzmlHyBpWX8/KINseBumQBDeh0kDvBXbM/PmzZsyZUp5efn06dMjkUg4HF63bt211167rfc1SILBoE7FiUQi48aNO/74459//vlUnY8//vh58+Z5mfV9WLhwYWlpqQS4C4IgCIIw0hDBXRAEQRCEEcTKlStnzJhxH3TB61AEwFpogWLTpw0qoNd4zzUxcE2Gez706/okhdX9FpgAFZANPohAB2yCM7aOqnj33Xe/8MILfr8/6dnzzz8fuP7666dPn15eXl5aWjpp0qS77777448/vuuuu7bGfvpwqVIToRLmmNAYLRAHwW90dm0P175snf+zAi50XUwpzsGhlAqFQv33S8utSk2F2UbdzjU711k3XmbLBzA/swk9cflHSk2C+VBqZs4yzx705GfAbbAB3oTvuO7+8IAV1J5vHldgBbVXp143DF2wDj6DL8JOVj5MF5Ql9L///vsXnHeejpcpSDHVOjgQuqABGuBXsA/8C6qgHDJ53LH9S+2LFy8eO3bsQQcdlJWV5ThOR0fHypUr99xzz+GrtgOBQMBxnObm5kWLFt1zzz0zZ85M01lXxejs7Ex6Ni8vLxaLrV69eqtsVBAEQRAEYXtFBHdBEARBEEYQM2fOjEQiDiyGu2CRCZPZYPVpgPEQgk0wyjTqDHcFfsgdyIp9zNQ7Q5ExHeuAjk+NfLz1SCW4azxx8PHHHy8pKSkqKho3btyjjz66bt26d999d2sY3q9TqgbK4ZiE0Bi/FRoTNkksrbARTjR36cgt3oB+UQYnuJ+i1L5QAxVwhDGeZ5uAF89IriuXHpLZZrzj65SaCqPhMBMFo2fWzx5iZvJWWAiLYZnrPqrU40qNh4NTBLXbITAnQ5/vZegnGRtgDewLE62rSPo+Xw4HQvS883wJp3pMyL6mEzbCJ8bVngV/hEL4D1Qk5NKkuSfbISeccMIee+xRWVm5xx57+P3+SCSycePGxYsXA88991xHR8e23uAWoQV3/Q+/oaGhtLT03HPPfeCBB5J2Lioqcl03lYc9GAxGIpGtuFdBEARBEITtEhHcBUEQBEEYKbiuGwqFurq6LoAH4ZvwF2gEoNWqlfoR7ApZlnQIxACT4Z498HUxVvcSCIFrzNqnAfCdhHqqQ4jruukFd4+5c+cC999/f3V1dVVVVUVFxZQpU+69995Vq1YllocdKPOVmgGjoQxmQb5xbYeMmV3rvHZoTBOs2zref32rg8Fg5kMWKLUbjIELoMikteQb4zmmIGq7CTE/IbM9aBYptSfUwLFQZEXHeLk0YeOX3wyfwBzXnQKvKvWsUvOhHIpMdVY7qL0Zdopf1FbbtQe/DtbBH+C75iVI9V55E/aLr23Qhz7/LvIAaIQ1MBryoMz8C0of6b09q+2XXHLJmDFjjjnmGP3m6erqWrdu3fXXX+91UEo5jrPtNjgE+P1+7xKWLFly9913axt7UnJzc13XbWpqSjx15plnjhs3rrm5Gdhrr7220m4FQRAEQRC2Q0RwFwRBEARhpOA4TjAYbG1t/cEPfuC/8krgY/DDX2AjjDXdzoYjTTnTf8OuAERNpMwgBHfg50q9BPlwYOo+nhF+yAXHDAV3zXnnnacPnnzyyeLi4sLCwrFjxz722GMbNmz4v//7v8cff3xAS1+k1E4wCuYay3YOZFmhMa6prpk0NGYroR3umQju31FqGlTDPBMun2vtP8c8IegyNvwvZbC0dzxbqa/ABJgLJcbsH7JKrUasZw9r4GjXnQj7wu0mqL0UCiEn3l/fAZVp96Cn3Qgb4C34NnwRYhCEpAV7/xe+AF/s92YlQ8fRvAvVoCCcNghou5XaFyxYMGnSpLKyspkzZ/r9/mg02tra+uc///kXv/hFYudYLPb573AI8fl8ti39448/njp16iWXXJL0qVt2drbjOMuWLUs8VVZW5jhOfX09IDHugiAIgiCMKERwFwRBEARhpOA4TiAQuPnmm2+77bazAAjBWHgXvg318BbsD0A7VEAA8uAxON043LXgfiVckfGipyk6Qf+1AAAgAElEQVR1OIyBHPDDn+Cg/oaoITW8u67r86XxJadkzpw5wF133TVu3LjKysry8vKdd975oYceWrdu3TvvvPPrX/86zdhrlRoHFXCcFRqT9TmGxmRCmucQVyo1GargFFMHNSdh/1FohAZohjX9FW7t82reqNTOsMgo5nlGxNevk46C6YQWqIO/wRWuq+uR/kSpneDwZEHt2l8/OvUeHKPIb4Y6+AecDfvEm9b7BM78C/4NM9JeWibMhDXQDb0pOmyfUvuJJ5646667jho16oADDgiFQo7jdHV1rV+/fsmSJcAFF1yQOGQHcLj7fD77mcFdd931ox/9aPTo0UceeeTLL7/cp7MOr086T3Z2dm9vb0NDA6B/C4IgCIIgjBBEcBcEQRAEYaQQi8UCgQDgKUTfgNuNAt4G75ueDVADIciBMnBd902l7JqTSqlMJMJzlDoCRplY7TC0wo/gO/HB7kkZKsN75pEySVm0aJE+eOyxx8rLy8ePHz9mzJhdd931gQceWL169Ztvvvnaa6/pDouVGgNlUAGHx4fGBIyq635eoTHp0Q8h9JvBZqlSE2EUHG9FqHvVSpVxnfeagJeG/h6f9HntLlFqNxgLR5vomGwTHYNRw3Xq+mb4COa57jSohQuU+iJMsILas8wobVcvSr2HCPjBgW5oh43wb5gDe6bIh9E57/+BFbB7+vs4EMbB+8m0++1Qaq+trd13332rq6uPPvro7OxspVRPT8/69et1Snsa5s2bd/zxx+8ADvdoNGq3XHTRRffee+8+++yT2DkYDCYV3OfPnz9+/PiWlhb953PPPbc1tioIgiAIgrB9IoK7IAiCIAgjhWg0qqXn1tbWW265Je+yyy6AiwH4G2yGU+FwGAsfwwwT414M85T6ecJsmWjuB8IoyAUf9EAzfARXui6Wzri1lXfHcQbncO/D6aefDtxwww3Tpk0rKCgoKioaO3bsHnvscc899+QtXFgER0Iu5ECh8WsHQG/98w+NSY++k95ziB8oNR4q4GgoTCji2mf/Wg0/tL/JbU5V6kAYD6eY6Jgco5j7zOTan94Iq+E4193JfNliiVJ7wLwUQe2dJrMlKTHzkOAUuAfq4QM4EXZLG8X+fTgbpsc3JlZbHSh1sD6hcbtS22tra/fZZ5/Ro0efccYZOTk5fr8/HA43Nzd/8MEHd999dyYzlJSUKKWGu+CulOojuANtbW2lpaVz587tEyoVCAQSO2PyZDZv3gyce+65W2+3giAIgiAI2yEiuAuCIAiCMFKIRCKhUGjWrFmvvPLK7bff7oMHoByq4EOYB8C/oBdCUGdi3AtgGvwhmcaaXnP/qVJjIM9EVzfDB3B1Qn+7pGp6Bqe8azd3bW2tZ0XfEq655ppFStWA/7bbJkyYUFxcPPbUU3OMk10nm+canT0GkW0aGpMKneEeCASWKVUBR5jcG9uP7xrLud5/yqqRZsKk7TcrNRm+nRAdo+9PFLqgE5phPfwefui6M81YHdR+fLKgdh04kyqoPWr2HzXfJLgGLoBfmoIESWkxSfE7Jzu7JWp7IzTCWtjXatyupPZLL73U1tljsVhnZ+f69euvvfbaAc2Tl5cHJBWghxFJBfcrrrji7rvvnjx5cp92v9/f25skKCg7OzsWi/3yl7+sra0d7k8gBEEQBEEQBooI7oIgCIIgjBR6e3sLCgoqKioAXRXwXHgK3ocF8BlMgDUwEYB2KDcx7qMhDGuhJmHOVJr7g/FqeyO8D0tTi4yZy+59uvUrXGqHe2FhYSYzp2KhUjVQDsVwtM5aWbzYs4F7iSuAA9H4ap/bJDQmEfumPfbYY8BDDz300GBnS3/br1RqOoyFI63omKDxy8dMKE0rbNJvP9edDrPM8AeVmpQ6qL0g9bra0h4zinwr1JkSBU+nEM0j0A0t8J8MKr4Ogg5YDc1wgGnZTqT22travffee8yYMcXFxXvvvbens9fV1V199dWDmzM7O5thXjR14cKFs2bNSqqhNzc3FxcXz5s379FHH/Ua/X6/XWFVc9ZZZ9XU1DQ3N+s/h/sTCEEQBEEQhIEigrsgCIIgCCOFnp4eT3retGmT/4c/5NJLT4Pn4FfQCMDRUA8O/A1qIMeMfR4cqIPqhGkTNff7lKqBfFDQA43wT7gxA50x85wZe/XE4TY6uV57bwfE+UqNNyL7MVbhUM/J7o8X2aNGR+6EDlgB2fffv379+vfee++Mga69xaS/gToeZ6D0qxSfqdT+MA5OgmITHRMyH7gdCJvomAZYBSe77mT4shn+baX2h/FwULKg9m4oTrFu1ETTRExQ+2ZYBSfCTnAgXJhiYAfUQx28DecnnH0TvtjvTUlNO0RhM2wwzxK2B6l99uzZU6dOraysnD9/fk5Ojk6A6erqqqur++53v7uFk4dCIYa5vlxcXIx5HtmHa6+99q677po0Ke7LHj6fL7FzeXm54zjr168HLrjggtbW1q22X0EQBEEQhO0REdwFQRAEQRgpdHZ2KqW09Hz77bffdtttut0PlfAxPAlzoBVK4LN4tTECDij4EKYlzGxr7jcrtQsUgB96oQU+zkxttxmQ4d3eRp8ZMA73nJycFIPiWKDUBKiAYjjWiOx9nOw6/tsW2bWZvRnWwbdc9957762urt4lL8/n840fP37PPfd8+OGH6+rqVqxY8fOfJ4bhDwEDvVGZk6FGfKtSO8ECKLXSaXQCjGtydbxbdITrjoe9reFLldodzoByEyLvBbWHoSt1UHvM/O62omlehDtgZuqg9jCEoR3y4XGYG3+2Dupgry1T2zshBo3wCRwBbGu1fcGCBRMmTCgrKzv22GOzsrI8nX3Dhg1XXXXVUK0SDAZd102qVg8XcnNzXdcNh8NJzzY1NZWUlJx55pmPPPKIbvH5fIl2+Ozs7O7u7meffZYUirwgCIIgCMKOjQjugiAIgiCMFJqampRSnvSsjaj3QRg+gLNgDQAbYQzMhtOssV2g9UIf/AqOTZhca+6XKbUPFEAAItAKq+C7g5UaB2F4t/ejDx555BGllBYZk4qeFypVBSVQCickONntuBgXYhC2RPYWWAfnx0/7rW99Sx/cfvvt48ePz8/PLywsrKmp2X333Z944onGxsZ169a9/fbbg8iU33rCuk3m0vA1Su0Co+EIE9GebbRyTHSMl1//HixyXTtFfa5S+8DOcByUGUe8HdSe6lsJXjXUMHRDG2yCD2EuTIWvwl0pBnZBF6yFjfCu3oM5pa3x9fBnmG0aP4KpGd4LC/2c6ROTUbOtpPba2tq99tpr9OjRxcXFhxxySDAYBCKRSHNz8/r165cuXTrkK+olhrXDXafipBLcly5detddd02cONFrUUr1EdwvvPDC4uJiL09GKSWCuyAIgiAIIw0R3AVBEARBGCncdtttzz//vFaUgMsvv/yKK65woRGq4Ncm++UlmAHZ8Al4JQJbwQFAQQBOTpaIrZR6DEogCDFohc/g0qFQG7dEeY/FYkqp++67zx5+BVRAERTAYUZhL0wWF6NFds/J7tmoz8vgui6++GJ9cMMNN0yZMqWwsLCqqqqqqmrnnXfeb7/9fvrTn9bX169cufLBBx+0R30+qrrNQBXh85T6AtTA8VAM+cmiY7QOvhk+gTmuOwUONMPPUWpPGAvnQzGUQIFxxGOC2ttgTLKlnfhqqE2wGg6FGtg3taUdaIV2+Bg+hePiT+nCrTnwWzjKyOVN8Nmg1PZOqId18KVtJLWff/75Y8eOLS0tPfvss7Ozs/VzpnA43NjY+J///Oeee+7ZeksHAgHXdZMGoA8XsrKyXNft7u5O1aGhoaGkpOSss8766U9/qlt6enrsDvn5+ZFIxKuPoJRKJd8LgiAIgiDsqIjgLgiCIAjCyCIrK8s7vvXWW791ySWPwvGm5QW4Er4BRdBsjbrQJGP4IADZ4LpuH2n4x1AOWeBCJ2yG7wy14GgrmBkK0+ecc05i40EJNnY/5KYW2VtgPZw7qMvps8+f/OQnlZWVhYWFxcXFNTU1u+666y9+8YvGxsaFCxcOYvJB8FvY+PDDxcXFb7zxxq233jqgsXcoNRHmx0fHBKzoGE8HXwNHu+5E2NeM/ZZSu8EYOMtKeM+CnAyC2nV0jLa9d0GLsagvgOmgUkvtnab/Py3F30Or8CtgJQCHAbAJ1sFeUAwfw84DuT9NxpXvfr5a+7x58yZOnFheXl5QUFBbWxsMBpVS0Wi0u7u7vr5+8eLFn882/H4/KQLQhws6FaezszNVh+uvv/6OO+6oqakBzj///MMOO6yrq8s7e9ZZZ40bN86zt1988cUHHnhgH0VeEARBEARhh0cEd0EQBEEQRhCu6+rChpoNGzYAXfAL6IB9YXfYAJtgHDwPrVBkOnsOdz8UmNk8NflKGAM5oKAbGuAVSCJ1D+m1eMcDdYWPNSK7J9S60GVy5z2RfQOca406byi85wsWLNAHS5YsmTp1alFR0WmnnZZ+yKBptvLl18Nx5o49/PDDGHk0E65TaiqMhllWdEzQ3L2oiY5pgTr4G1zhurubsd9RajqMhjOgCPKthHe9vM8EtTdb36gAToanEqqh6mqrs2AcfLk/S3sbrDDVU/uwGVrgPTjIulcb4G2ogVaogzUwY4CpMqXA52VsnzNnzoQJEyorK4uKir72ta8Fg0Gfz+c4Tk9PT2Nj46effnrLLbd8Dtuw0Q73YW3oDgaDjuOkL3Pa2tpaWFh4yimn7LzzzsBbb73lnaqoqHBdV5dLBYqKioA0fnlBEARBEIQdEhHcBUEQBEEYQfQR3G+77bbbb789BhthLKwGoNkYfo+HTRA1H5i0y1g73HOtCbXYPd0USo1CG6yCX36OHl8tcc5Xagx8P4P+u8En8YVPtebbCids7b0arrvuuqGdsNt48/Uzg3b4ANbCbNcF9rF6Oo4D+Hxp9GqAJUqNhxo41mjlOjpGC+UO9EA3tMJm+Ajmue40qAXgUqWmQTXMgSLIM6VQPZ3dK6aqb/t0a92IlQJvV0OdDpNhVxOsn4p6aIF34eBkZ9dBA1TE92+Cf8ABUAxr4SOYAq75MkfmbG2pfcGCBWPGjCkrKysoKDjuuOP0v2Wd4tLU1LRhw4Zrr712q24gPT6fb7gL7oFAwHGcurq6NH2WLFly55131tfX19fX//Wvf/XaTznllF122aWrq+uZZ57RLXl5een98oIgCIIgCDskIrgLgiAIgjCCcBwnEIj7/LNkyZJso/weA8/BGjjcnO0ypl0gBq5xuOdYM2jNvQyywIEOOAmApUqxlSXI2UpVQ4WJKDkKcuAVCMGP4RrLxq7i3dMk/DnsqIcL4OeAiTXvNMnpjfApnOG6wBeTjdUvWVLB/WKlJsEoKIVjTMx9rolo19ExnqDfCKvhONfdCfYH4CqlpkAVzDY6e46JnfFkev14QxdTtWuohs0Sdgp8PXwEh0MNZIEf3NRq+1rYDJUpzuqaBGPj+9eY/pthDayHmQB8CDWwwnr/p2crvc9ra2t33333qqqqkpKS/Pz8ww47TMfFaJG9tbW1vr7+0ksv3RpLDwK/358+AH37x+/3O47Tb0HjF154IbFx3LhxwKZNm7yW7Oxs13XT++UFQRAEQRB2PERwFwRBEARhBOE4TjAYtFuWLl36k+uuOxcehR8bf/cm+BCmQQtUQRiyjMNdwVcAuEEpT2R8GnJNex+U1W1I+IZSY6ESCuE4yIXs+DR2bX9eCjqr3jGB7O8aP3U7HDuEG9qa3HXXXdXV1fn5+TOOPNLLmldG+H4AeqEXuow2vcJUc036Wnj0cbjPV2oGjIYyONko7Pqung9PgM9458OW3/x/4FbX1fL0EqV2gio40WTO5JhXRK+hNfT8ZJvpMrb3PtVQ18BUmAS7QcjsIanUXg/NMBVq0l514iMWu38FbAbAD0GYAc3xXwtIxZBL7eedd151dbVW2BcsWJCVlaUfkjmOEw6HW1tbN23adNVVVw3tokOCzrQZ1oZuv98fi8X67fbaa6/V1tZ6x8DRRx+999579/T0PProo163UCjUr19eEARBEARhx0MEd0EQBEEQRhCxWCwxuftc+BnMgydNSzNoiageJkM2bIJRKea8R6mdIQDLU4R4qC22ui9QahSUWDb2AggZ27VtYwdcE1cSS6h6epHZQ79bGWgo/KA5GXY2YreObcmzC7ouWqSfH2ih2TWB5hGjsy88+OArli//J2TfeWdjY2NdXV1tbW2//lxPcH9YqQo4GwqsdW1l/1FwTanSNtgE78MC150Os+AGY4e/fuAX3m4c6yRUQ/0nnAg1EIIs43nvNvVIbdZAfbyl/WR4euCb0VTAahM0pJ/NpGeopPbzzjuvqqqqtLQ0Pz8/NzdX29h1PEssFuvs7Gxra1uzZs33v59JWtK2RO+5paVlW29k8Ph8vt7e3gw7z507Ny/vv+/KqVOnKqU2b95sd9CJ8L/73e+GeJeCIAiCIAjbNyK4C4IgCIIwgohEIn0c7oDruj9TCnDgL7AZpgHQCHfD3pANIXgDvhQ/ULvXq03OdRgeSl0odaBW9/OVGgVlkA+H2ho0BCDH8npjbOwxo0Tr4O8mOMt1gRdeeKFu9eqLLrww89W3ahLOKUrtAtVQCoVGZLd9+v54kV0/OYhYDv0GWAljly27LD8/cPXV+/h8QCwWi0Qi4XD4ySefbG9vb2lpqa+v/+yzz5599llv6cVKTQJ+/GPA5/N9yZjZQ/FVZLXoHIEe+A5cDqvgZNedDF/esqcRLUbTT6yG+il8CXaDva2Udj90QBuMtibZZCqs+mBc/PyDVts14wFYEZ88k8h111036LT0U045ZezYsWVlZYWFhXl5eTk5OX0Udm1jb2xsvOSSSwa3xLZCO9xfffXVbb2RwePz+aLRaCY9p0yZEgwGPTt8fn5+OBzW5Yg97A6CIAiCIAgjBxHcBUEQBEEYQUQikezs7COPPPLll1/uc+qn0AhzAVgPY6AdlsJZUA7An5JN+GOlpppaqe3wmVVGNZF+re7nKTXKBLIfCAXxGrTfiOxAwCp5qnVhbcHeAIuTzd8nuf7z5yylJkMllMI3TRHRnHifvs9kxXj5LV7ceRtshrfhpmRXd8kll0ybNq2kpCQ3N7egoKCoqGj06NGO40Sj0XA4/PTTT3d2dra3t7e2tp4EBfCa4wALly4NWl8OsBfVsn4TrIZlrgt8QSm2QGdvgByrYqpXDbXFVEOdBNMsnT1mKrKugg9MtEsztEEFhKAibZj7FjIlRbvruvfee+/o0aPfe++9DKc68cQTx40bV1ZWVlRUpOX12bNnB4NBv9+vFXb9jKStra2xsXHx4sVDdQnbBJ/PN9z1ZaVUhoL7Aw88cNttt+l89osuuqikpKSpqalPnwwDagRBEARBEHYwRHAXBEEQBGEEEQ6Hi4qKysrK+rTPd93HlaqAB6AMGgFoMOntmogpMmkzCrJBQRia4QbXxUjqGcrus5WaAOVQCgdCjjFcByE7ISvGsWzsEVO3c0F/bnTXdRODdLY2s5UaD5VQASUw14js2ZbI7o8X2aPm0nSOeStshDnW1Z2YYq1bb721T8sdd9xRWVlZUFCQlZWVl5dXUVEBxGKxyRCEMxct8pt1HRME323y2evgROsVnD9Ynf0jKIRcUzTVl1ANdQWcbjprjdPT2fUrq3X2dthoHk6UgJMsYcYZIvG9CVqhB3aJb/fervqLGkkfGh177LFjx44tLS3V1vXc3NysrKw5c+bY8rp+CtLV1dXZ2dnY2HjZZZcNxa63F5RSOq1o+JK54A50dHTk5+cfe+yxe+65Z29v7wMPPNCng9/vD4fDQ71HQRAEQRCE7R0R3AVBEARBGEH09PT4fL7CwsIkpyAIPXASAH+GlTAF/gIHANALLmywwj2uh0IIQAQ6YG38hGms7sCZSk2AEjjSeL1zrfRwLUMHjO06agWqaBv7ZQOMfPkcBPcFStkpMfNM1rxWnL1sdJ8lDXuB7FqG7jCO7zMHG2iz2ISq7262kROfGOM9uohY3wxohXp4H6ofe6y7u7urq+vGG2+8+uqrB7eHf0Ex5EO2VTQ1Cl3QAY2wFr6WMCrxQ3k3NEEbBKDMFE0NW2nyGmfo1Hb9Hu6BmVZjH21dv6Udx7n44osLCwsLCgq0bz0rK2vevHmBQCAQCPh8Pq3LO47T29vb3d3d2dnZ3Nz8wQcfPPTQQ0Ox0+2U4S64n3HGGSeccEIkEsmw/5IlS370ox9NmTLF7/dv2rQpsUPmATWCIAiCIAg7EiK4C4IgCIIwgmhvb1dKeYX++uCDCfBnyIO9TONT5iAMLih4H2YAMBFyAIhAG1wP18VPmMrqficUQqFRonWgSsiSg2OW3Vvbrs/ZglB113V9viFOH5mtVA1UQBEUQh6caAXNe1nzuQlKt+coDxsrdxN8BhcM9gLPUmo6VEMZnAz5xkefZcXBKyNM20HwjfAZFD/7bE5OTigY/ILf771StbW1A93G26aqba7R9wHH0vQ3wr/gW/3No+9MB6yCKVBk3g+e830neBjOtqzu7QPdawLNEIJNsBkONI1nnnlmaWnpddddpyX17OzsrKwsT3A/9NBDb7311ssvv9zT1qPRaCQSaW9v7+zsbGpquuKKK7Z4X8MMpdSwTlAZNWoUkLngDvztb3/bZZddenp67r///sSzPp9vQLMJgiAIgiDsGIjgLgiCIAjCCGLTpk1KqZycnMRT57juI0op+Ao8AcCnMBFOgzqohjBo86oPnoGToNiY0LvgTCBFZdRE2X0ShKzEGCyRXQeqdEIjnD9ElUuHJFLmbKVGQykUQT6cYczjXsq8Vrc9D7su6JoV//zAy5pvgA/gqi24wOuM4n8mFECekfu9bwloHBPLrmNqmmE9fHbzzVOmTPnoo4+uuOIKTkwVVNM/L7zwwoTjjtNRObnG0q6Mg77HqoZ6QgazdUMXrIeJCadWQQPsCxGIgQtzLav7TLNcwaCuQq/bDJ/CoQA888wzfoO2q3s5SOXl5d3d3fvuu293d/c555zz6aefNjY2DvrbADsYw93hnp+fDwwoBGbChAlAXV1d0rNKqd7e3qHYmiAIgiAIwnBCBHdBEARBEEYQ99133/PPP5+VlZX0bBA6ACiH52ATLIeDoRN64AlwoNp0vg2OSTZJH819jlLTYBQ8AblwPABFoMBvZap4Irt2QKcprDoIBuFwP12pSigzFVzz4GSjaGcZeT0QH4CjrDR2x4jsLYCperoJTrGu6/iBX8glSk0ylVePSp0Y45gvB+iCq62wCd6Fa80834/FgMFZsJctWxYKhYLBYCAQ2PPww70vKBxx8MF/WL48Zhz0zbABDslgQu9hwErYNUWfSQDETLVV7dDfDPtABbTBRqiBHsge4OV0Qj10mC9t/P73v9d29VgsFo1Ge3p6wuFwd3d3e3t7fX39TTfd9OCDD5aVlb355ps33XTTAJcaEQxrh7t+Epm54H7WWWeNHz++q6ursrIy8eypp5566qmnSoa7IAiCIAgjEBHcBUEQBEEYcaQS3E+HhwE4HID74HwA2iEGzbCT1bka/gxfSTaP1ty/odQMOMSEiWtR+M8AOFZwR1I8O/yQKO+O46QR3E9VqsoS1nMgB06CLMiPN7BrUVvr2t50Xr1Tz6EfNgqyDmT/zhZcwmKlqixb/UkpEmMwPno7MaYBVsG5yaa96qqrBrSNO2Fvk5yTM3t2Hx+9fsDwq+XLW61qqHOTzXMyPG2Oo6ZS69r491Ua9HJvw6dwPFRDK5TCW7AHNMDqgVyUjpVvhFVQC9dff/369etnzZqVfpQXKTOQpUYKwz1SJjs723Xdnp6eDPtXVVW5rrtmzZoZM2Yknq2pqQEyn00QBEEQBGGHQQR3QRAEQRBGFq7rhkKhxPbFixcvXbpULV2qA7IfhP0AWAMfmTKStmCqy6W+AV9Ktsr1StVCCeQYwVpZ8Sad8CB8M4Pd2kE0gxbfteB+6KGHlv3xj6NM1HieUa5PjVfVPSn5BrjFKNo+Yx4HHHCh10qZ77E07vlbIK/PVmocVFmVV4+ND67Jsyqv6v3EzC3VUeY6Mea0Qe/A8C/YCO/ALEviDxmJ3/PR98aH1dT1Z9t/2jyWCMMmaITdB763faAZNkIT7AIdkA8fQA0kqQWcGu9/A9yBvLFEcE/Ft7/97UMPPXRYC+6hUMh13a6urkw6L1y4cNSoUR0dHdXV1VlZWbW1ta+99prdobCwMPPZBEEQBEEQdiREcBcEQRAEYWThOE4wGExsLygo6OrqUhCEx2EuPA//gCZYafpcbwT3KyEH/BCGZTA7fqp7odwUz9QraW26C1rgfbjNdYFzgGQlVVORufg+W6kyo1nnwOgnnvD5fI7jnGZp6yGTheL51n3x8es/NAnsToKBvRs6oQXWwUVbprCPhyoogUI4y4piz4rfod6Y/mJCnxyeFtgExw56E4bPoAXq4I+gYDLsZoXC9/HRe2H0m+EjWJh25ph53NILzdACk62z9lOcDCkBoAHWQQO0QgesgNEDnGcQj3C8EqkDHbjDo0sxD2vBPRgMuq7b3p5RFd7y8vJYLHbzzTcDt956a2KH3Nxc13U7OjqGeJeCIAiCIAjbPSK4C4IgCIIwskgluPt8vo6Ojvmu+5hSp8MLUAUfQy6cZ1TRmCmgOtmIvxHoBMB1XS2IPwrFkG0+ZumQk3bYlCJcxRM9M1fe7c4LjVfdlqpPis+BCXzjGwG4zdLW+wSv67lc8xMzPz2WgV1XOj1zyyJuZis1AUYZD/vZkGvlsIfiK6/aG9Miu2O56TfDJ3DBoLbRATHwxVdSbYJ82A2+kBAK38dH3wTr4NT+VgmbpP6oKaDaCHskdOujtmeuv5fDRigCoAI2Q+Zp2YP+toQ43FOhA9Cj0ei23sjgCQQCjuM0NDT02/Oyyy4rLCzcuHGj/jPpVeuAmpaWliHepSAIgiHHJXsAACAASURBVCAIwnaPCO6CIAiCIIwsHMcJBPp+BFq0aFFZWdnmzZsBB06GDtgfgA0AfM8I7pqz4S3Y15pBKXU3fBvKIQuUEazbYA3oyPDvpN2Y1kAHJLv/AgIQNPp+IEFSt03rWVYsDAnaeszkw/QaA3srrITvbbHCPhFGGQ/7gBT2qPlmQNiY2VuhMVk8eiYidbtl0q83dVw3w85QCqMTQuEds7rno6+Hr2Vwyb3mEqLGia+N80lT+5ugNL7FvpB+r6sKgAbwwyirom8qtrwkgAjuqdBBVcNacPf7/Y7j/OY3v0nf7Zxzzhk/fnx3d/ePf/xj3aJV9T6pMqFQyHGcxx9/fOttWBAEQRAEYftEBHdBEARBEEYW0Wg0UXAvLCyMRCLLli0D5puUmMegwMR0tEM7FJj+Lxs53uMBqIDfQQC+mmJpLVYmFT1nK1UIhXCVMarn9hdUAoy3slZ8ppap1qw9bd3zrXeD39LW+wjZq2HJFquxpyg12mjrRVAEZ0MeZMcr7IF4iz3JFHYvtWYjnN3fuqlU6TbrQcJGU8d1I7zx7W8fcsgha9eunbNoUciS+11jotcbaINGODgD4Tsc74W3hyfq7DqWpwOqE9T2DK+rD9rqnl5tH5Lqu0ikTGp2DME9k0ic6upq13VXrVrltdx00021tbV9ugWDQXmfCIIgCIIwMhHBXRAEQRCEkUU0Gs3KyurTGAqFvOgD13V/odSz0AoV8DKUwRcA+LtxtWfDO7C3Gf4AVEKuyQ95Bk5KvQGl1DdN2dI8EwJzGOTEu9Sz4A9GmE5qjgbyzcFu8KHRi/Vvz7fulTbVKnAXrIVrks22dCDm+v8OgUKTaZMDZ5jLCUK+OUivsEcSFPajB7qJeFohZq53g0mAWQt7QD5Mgulw5N13B+6+2zazR6zypy2mXq5HKuG7j5ldD2+13hgeOg/HgW5YDxPjz26Gii245DarzEAfhkpn99APjYZ1UvlWQj/Gi0Qi23ojg8fv9/f29qbvc/HFF5eWljY1NT311FN9Th1wwAH2n4FAQN4ngiAIgiCMTERwFwRBEARhZNHb25uTk/P1r3/9xRdf1C1z586dMmVKa2ur1+e0+CHL4CewADzzaggU/AW0wjQKckFBL7TAp6nzYX4EeaZmabZJU/HDT+ECK/7FB0HLq/4PMzxgOdZnwm7WzNO2/NYMnNo+YfEmzWYibLYUdtd6DOBp092w1xZvoMME43gFXdeauPkVsD8UJit/qswo7UbX8TJ7ZryoliS94TpTfkaKntpi3wxd0GpluIdNuP+YLVDbN0ErbISZCaeGXGrXSKRMKnTF0WEtuPt8vvQO/dNPP33KlCnRaPT2229PPJudnW2nygQCgWF9NwRBEARBEAaNCO6CIAiCIIwswuGwz+crKSnxWmpqaqLR6OrVq70W13WfUmoOAL+FqTAZ1sIqWAevwpdNzztgPOSaCpyeO/u7Sp0D34Ub41efBCFj9w5ZNUsvsj6Wuea3YxzrMaNWu0ZZ7oUnoRO+mcElH3zwwcuXLx/YbcqMg2C19ZzAM7DXgc9S2LUUvsuWrdUWH/yiZ26xfOWbIGiibKbCTMiyYuK9gV5OfQc0WS9lKlZCA3wGx5v73wU9Jj89FZ3QCw3QAVOs9h7IhgZYC5NNYz1UDvBuNEA2bAbi52erSe32/OJcTsTv97uu269DfHtGKZX+lZ04caJSav369UnPBgKBcePGeX/2K98LgiAIgiDsqIjgLgiCIAjCyKKrq8vn8xUUeHnshEKhcDj86quv2t188BScBkcB8DF0w0EAPGN1GwN54IvPbb8GSqEAcuEZyIIAHAlAEfgBo//6LGE9YoXAeFkrWk2uh6UpVNRz4v9MWnN1K6ntmvEArE+ov6pg+mDn3Gj55e0Iml4rf6YdmmE9jIVcKIQKk33vmdn1A4A+5U+TRr54tFjp9o3wGYyF0TAd2qALxqUeC7RBGCogL769y6j8a+HvUAgF0AptUDNwtb0DHGiHOviSadzaOrtGImVSEQgEXNcNh8PbeiODx+fzpfGkX3rppSUlJc3NzQ8++GDi2ddee+2WW24pLf3/VQnSzyYIgiAIgrADI4K7IAiCIAgji7a2NqVUbm6u1+L3+7u7u/t0O8V1lVKPwjy4C5pgP/gtHAXZ8C7MhEehAPzGbz7HjN3FijL3G4X9NVBwMAAnw9kQMe7vHuiChvho9Uz009lKAVmQbdzcV1pLe2EvdTfccM01SWPbh4wxA+z/TnwWjd/8aA+7jth34yNodHJLA6yCL0AOjDXfGAhaMxRB2BrrqfO7pt1PvVliBTTASvgmVMNUaOqvHqlNYUJLI5SB927rhDLYDGOgF3ywwRTmzRCddB+GSabl85HaNVI0NRXa4T6sBXdSF30999xza2pqenp6fvjDH6Ya6zhOfr5XV0IEd0EQBEEQRi4iuAuCIAiCMLK48cYbn3vuuZycHLuxvb09sefP4QwApsMaWA5NgMmNuRlK4AhvWnjI+M1LjHYMuFaQd9jM+XTqOpweSqmrwR8vSfvAb0Jp/HCM1agzagJWi9+Evcy45prDwAdZ5pRKyIFJNMaHjPXesXz3vcb9fXBC/5OhCiqgBAogH3Ih23oYkEpeJz7n3TFm9m6Te14P1ZADRVABe8Qr7H1i4nWKizazN1vlT09Ods8/MwHub8KRVinXfSG7vxeoHQr66wOUxf+pne8tsBFC0AXBDCbxaIZmWA1f/nx19j5IVEgiPp/Pdd3ER3fDhYULF371q19NFYlTXV3tuu4nn3ySZobu7u6srCwvxl0pNawDdgRBEARBEAaNCO6CIAiCIIxEsrP/K6hefPHFhYWFDQ0NiX202r4Mso1cq+2ay+FgqLFsy8BEyIOX4UiTHgM8B93QBufD5cZ4frNRii9Ku8NnwGeKfHrKuD4IWcf2QZ92W0n3Onh4SfG2zO3Ex9pgfN9tsAkWuS4wX6lSWAJ58ZJ6Xn/yujIPIbwN2Mt5QS7ayd4Eu0I2jIYJaRV2OyZeJ7M3myAgG09tX2VM4huNtVxP0gk9yczsrea7CG1Qb8rkkpnanopiqIdPzdKZUwKPwhnbTmvXDneJlElEC+6dnZ3beiODpKioCEgqkV955ZUFBQX19fVPPvlkmhnq6+vHjRs3duxYYP78+ccee+xw9/sLgiAIgiAMDhHcBUEQBEEYiYRC/xWfc3NzI5HIiy++mNjHdV2llA4neQm+Bj+BlbARgELzQephOBuKIAAu/AbCcCIAJ1iz7WGk8yAoCMBLRjs+ou/KANWmm6eYY/r3afQOPK+0G//b+wmD30pa95Liey2luw6udd05SpVDoTGq50AJLFMqBLPj9XQtqQcgJ0Fet43zTrzZ31u00wTFTIVsyINSM7k9lXddjplBK+x96oWm4hMjxO8XX0C1B3qhPMWoddAFH0MjfArnZbZWhlRCO4T7K75qsw0t7R46w10c7on4fD7HcZqamrb1RgZJXl4ekCiRX3jhhVVVVR0dHXfccUf6Ge67776bb75ZC/ejRo0Chq/fXxAEQRAEYUsQwV0QBEEQhBGH67qe4B4MBpPmyXicAr+Bo+Ed+D3sBMAjkAMHw8+gxBjbPR6BJyEIJ1uNFUaA9pvfGCn5LdNHWREoOsfcb2/bOkj644Dfso0nquphE9KyDnIsN7onoGfBZHheqW+YFPiAZVTvk2zjizfUZ1kFTj3XfDTeva7l9c1QA/mQA5VQE6+w+ywjvGtdReZB6puhx0S3TwC/ydLxCqj2GjN70pyZj6ANNsPY+PZOiBovfBPskfF+UtEJXRl02x50dhvXdUVwT0Q73HWaynAkOzvbdd2enh678eyzz540aVI0Gr3xxhszmcR1XV0eQ1el7urK5A0uCIIgCIKwoyGCuyAIgiAIIw7XdYPB/9rBfT5fR0dHmp5KKR3avgmuNO0lcCg8AqUQAheeh+PN2QqjHb9i5ONamAXLAaNKR8FntOmYJZr/yRzcnCLn/UXjFvdC1bV83GFtz+MBI2EXP/dc9IQTdPBLNcxIUM89pfsWWBqvqtvCOpbfHPMMwEtd99zrnryuletpRr4vgyqYZhzxiQq7nioCFWlev3jarUgZnX4TgCIoNokxLuRAG/RCF4yzxva5wz2QDVOTrbIW1kIr3ApPQy90QPdA9tmHVghAukc925/UjjjcUzPca4RmZWX1yaA/+uij9913X6XUmjVrMpwkGo3qtK7c3FzXddM/yxQEQRAEQdhREcFdEARBEIQRRywW04L7/PnzJ02alD52+UnwwynwNatRp7eXQhYcDsBz8Jv4QqBeBU4Hfg3HJCs0+hOjmHfBRDNKu9pPMIk0p8UP+fpArnSGp5WfcELIks77mNPtn6fhjgRVvU/Uex/7vFdJNQyb4NyEbayJ1+715NrCPyCFvcvsJ2YZ1ddAK2yGQ6DUdHDiq7z+Gz6CfRIm7DWddQndpIVS34L9ocb82Qh3wnpogN0z2HNS2qAHmsBJdnY71NltXNeVYpiJKKUcJ+nrOTwIBoOu69pPH2fOnBkKherr6x988MEMJwmHw6FQqLa29qSTThrWATuCIAiCIAhbggjugiAIgiCMOGKxWCAQAEpLSx3HaW1tTdP5NNd9VqnnAcvDfhg8A9lwODwLWUYl19pxH03816DgJSBetQcWAPCH+OgYf3yfN+P//KJ1nDQRxabMsqUHEzLfSRZT8wlEkqnqfYqazku7bh+0qbzeaOWeyN4LE9IObInX+ufBncbO3wob4UgoNx10adPKtBN2mMqx+gI7jEafhv3NwSfQBmXQARHIh/XGFJ85LQB0QgfsHH9qO9fZNbpo6rC2cm8ldgDB3XGclhb9DuXyyy8vKSlpa2u7/fbbM5+kra2tqqqqqqpK++WXLVu2dTYrCIIgCIKwXSOCuyAIgiAII45YLOb3+4Hs7OxYLJa0Ympcf3AgD16ABiiAUyAfDodfwbHwkqWz/xZeNm7uWQDkWbbu1wGToHKAmT83reDe5+PaP+NbllrHMxJ2vgsAH4BjKoW6JpHG86o7RlW3tfWj09+RQZFeCtc6n7dDrfW3xgfUzIML4RGoAAe+ktm6ndbMUciHzdAF49OOaoSy+JbJAKyClTDJvCXWQBsUZraTNnCgGZphL9M4LHR2m2G34c+H4S64+/1+x3GeeeYZYNGiRdXV1T09Pd///vcHNMmdd975gx/8oLi4OBgMxmKxrbNTQRAEQRCE7R0R3AVBEARBGHFEIpGcnJza2toDDzwwk3CM2a6rlHoWToSfQS48D0fAi/B1WAZfMzq7giPgd8bK/TsADgHMsec3VybhHcu0vhywQmk0Wn93k7W48QdvxovpB5v+u2RyUz4XGuJTZWx5vcvy0Xeb4q4HWz0LzCTpTf0boBs6YCczeY9x03ebfHYdXxOxaqiWJMxTltCimWRdyyhYARmavduhwzK2D1PZWme4D9/SoFsPpdSwlpgDgYB+YHD22WfvtNNOwHvvvTe4qbKysgKBwLC+G4IgCIIgCFuCCO6CIAiCIIw4ent78/LySkpK/H5/5mnUJ5oo9lfANWq7drj/Fo4C4NfwEhxhhrwCCl4Fn5HdNctNxVQtuL8OPjggWci7zV/j/1TxunwgvqipgnfNcTA+pZ1kByGogXUJi9qavq3mTzFac6/lQG+FL8fHxGclxMF7hvpo/Nhp1lcBVLzCnpQWCBpLvtbo22GmKZSaKmyn0+w/Cq0JNVQHRDm0QjS1NN+Hj+AL4A5Tod1i+F/BVmG4C+4+ny8ajdbW1h566KF+v3/NmjUvvPDCIOZxHCcrK2tA/2kVBEEQBEHYwRDBXRAEQRCEEUdPT4/P5ysuLvb5fD09PZkMcV1XKXUMPA6bIBtiRn//FbjwW0u8/p05mAW/N9r6H4y87hUsxUqP+SL83Rzrxr0T9vBl+Gf8KCw5O9WnOpXsVGJ0ewxWQThZ1Ew0vjhqN3TCmoQiqEnrrHZDIF5e1+71g0zPxvgtRdPmsDdauTebIQxhaDLRPTapXPB51nEnlEM7hKE8Rf/0dMCYzHpqkXoHEKp1hvu23sV2ynCPlAmHw0AoFNq4ceM999wzuHkcxwkGgz6fT4L+BUEQBEEYsYjgLgiCIAjCiKOzs9Pn8+Xn57uu293dneEo13V/rZRXEPU3EAXAD0fDb+Aok95+OPw+wdu+3BKmXSvAXfMytBjx2gd+eN30D5hR+8MeALyTbHu6m5vsdyDBn95HVdc/LoShC/YzfnnvZzzUJXjqbbHeTdDovXyYA9PeVc8e/h8Iw8z4s/XxWv8q2CftbMBG6IaJafs0QC/Uw/vwEUyHFijub+Y+1EMI1qfV3EWbHiGcf/75hx9+eDQa3dYbGTzaoX/kkUc2NTUNqFBqH6LRaCAQ0H75IdyeIAiCIAjCMEIEd0EQBEEQRhzNzc1KqdzcXCBDh7vm6/AYnA4YOfvXcLT5/RIoo7ZjbNcvGcN7BGbBH8EPCv5ixGsffBGONEv8Pd7A7rOO3wUX/EZ2HzSfmIOgJaCr+D59JPtPjZ7uCfSeqp7oxB8EzWbmDcYLP8psKT/tQE+Rj0EH7A5VGSxXbsYGIWQectT3V9bV3q0yNV2TVl7dsXX2HfvqBkdBQQGwA0TKtLW13XTTTVsyT29vb25urs/nk0gZQRAEQRBGLCK4C4IgCIIw4rj11lufe+65nJwcx3Eyd7gDruv+Vv1Xmj7Gaves60fA/8BhgHG7+6wMmdeBeMf3m9AEL4Mf/OCDfa1TnsO9Tzj7v6w/Sfg812+J1MkAfARRCIJjynhuVTYDEIovlBoz7vUNMAOAJnAhxwj6FcmmWmPCZHaNl8g7oQ16oQfGpt6JF++ux+ogHSBDrbQFgCjUw3SrfYTI0BIpk5ScnBxg+Hq6r7jiitLS0ry8vO9973tbOFV3d3deXp5SSgR3QRAEQRBGLCK4C4IgCIIwQsnKyurp6Wlvbx/QqKNcF6Wes+LLtfD9W3Dhd6bbbwE4HF4FQJmCqH82QnzAeNu11d1v5rEd7mnM47+Lj3yxP9Itt4798WEyh1qnpg7oshP4xAqliUIMlEmk2S2h1KoD3RCDibASwvFStU0pAO9Y194JxGev9ylzusGo9qtgtwx23ifefRLUgwPVGYxthQ4IwyTTIuqzAIRCIYat4H7ZZZdVVlZ2d3frq9hCGhsbOzs7Z8yYMaAvDwmCIAiCIOxIiOAuCIIgCMJIxHXdUCjU2dn56quvDmK4nWaure4vGYf7yybAfRb8DlxQUAt/Ah90mvQYHdH+hplnf2vyV40v/nWjy9vCuk45P8IUUPU+zNmZMKk+4a2wztqaOFYgu/5ZAjdY6THaij7OrBI0E9pDvMCZVojCtBR72CmhxctP3wgRqIG9jdU9AD1WzntSRpuDDbAaYpYaniGVxoDfL0XmYCTr7CP52lMRCoVc1x2Ogvull15aWVkZiUR22223FStWbPmEjz322JVXXgkM6MtDgiAIgiAIOxIiuAuCIAiCMBLRgrvjOIMbq5R6IaGC6NcAUHCYsboHwQe18Adw4SsAvGp52L8EwN/h79AOPjPkS/CWVbkU60Pb/5kDfzKf+MkJDu5EXo+PtfnUbNXmdnNRWJJ6rzHL+yFmgmgSV2wwIemJ1JupAiY0pteqVmrHr2ur+1swDTrBgYL+rms0bABg1UA090ZT3LVfRGhGImVSEAwGgUgksq03MjAuueSSUaNGxWKx3t5e13WHKgSmoKDAdd2urq4hmU0QBEEQBGHYIYK7IAiCIAgjEdd1g8HgoB2py5YtO2727F8B8GtQ4MLLgIlxd03p1Cj8ERRE4TVjXdfK++vwVzN2P9Oi/ex/MyEzCvZKWP0vJpTm7fhYG22Bv9Z0s58HBME1rvMD4yZjIgD/gt0HdSu02v6h5YVfCW/BBMvz7lUWzbAqqUcNtIKCDL2yo2EVFEMzhDMooKrDZBSkEhpFXBYyIRAIuK47vAT3iy++uLq6OhaLvf322/vttx8DrCCdhpycHNd129rahmQ2QRAEQRCEYYcI7oIgCIIgjERisZjWyAY9/Gc/+9nX581TSv0aAGWyYoDD4X/AgcPg93AILDfBMp69/S/Qa7ze+8Fb4IducMBn9HfgHXgPFLRZ9VeD8fHu/zQf6TyFPVU91Y/j/+yTLfNJsngZBwKWmF4ZPyRoVPXEIqV1VthL4ik9yg8RS45PZAwA66EQPoMJqXt6DNTbHjOreIjInh65P4kEAgFgGJUJveiii0aPHu04zj//+c9nn332zjvvdF13qEJgsrKyXNetr68fktkEQRAEQRCGHSK4C4IgCIIwEtGC++AiZQDHcfx+PyZeBvgtvARfMzVRFfjgFZgFr8HB8CosBx/oJSMQAD98Gf5kolqyjNT+BvhMsLsTb3J/G1x4x0p19+R11xzvAitgygAvaqVR810YP8BgFpv3IQob4muf2njlSethNNRDNLU6D4yBNeDP+KI2gJsgoydiR8OLiJwhEimTFP30LhzOJJpo23PhhReOHTvWcZx///vfTz31FCaDvrOzc0jm12ldL7744pDMJgiCIAiCMOwQwV0QBEEQhJFINBr1+/2Dlg6j0WggEJg1a9Yrr7yiJ9Gyu06V0ZMeBsArEAPgq7AcDoQ/w5/gIHjd9NSed8/YrvNkeuANI1j/Iz46pttEysy0tvR/ls/9Q3Dgw4T8940QSAhY7+Nz1yE7K8GBjy2re8DUUI1BidU+HtbF58bMMAerAfgMojA52W2sNL83Q50lxCcyDjZDbuoOHuvAZy4nPb/85S9feumln/3sZxn0Ff4/Irgnov9jMiwE98WLF48bNw54//33H3vsMd0YDAaHMAQmGAzGYrEhmUoQBEEQBGE4IoK7IAiCIAgjkUgkEgqF/vGPfwxueDQazcrKKi0t9Vo8FVIr75pXAfiqiXHXOHAQ/AUOgD+Zg78a5/t/ZzMFVDV7wVumxRbZgb8b8d2BiBXmDgRg6qCubgUEYKeM+yvIgY3gxovmWoKfAOvTDq8z2TXpqchgJ5tTpMR4eC/Tz3/+c0B/TUEYECK4J+Lz+YYwkmXrcdlll40ePdp13Q8//NB+1KS/7lNXVzckqwQCARHcBUEQBEEYyYjgLgiCIAjCSCQcDhcUFJSXl/ffNRmRSEQpVVBQkHjKNrx/FYBXTdiLC8vhIN0NAB8cAG+AC180M+wHf4OgscZjeiYat9+1nO8BmJ52zx/ALvEt/zEH0+Ejq6rqFPgM1iVLZu/DyfB0BuEtCtZCTYqz1ZnF12wCX3+ye+LZVOqwzgISwX0QiOCeiN/vdxyno6NjW28kHVdeeWVVVVUsFnv33XeffPJJ+5QW3F977bUhWcjv9w9V/VVBEARBEIThiAjugiAIgiCMRHp6enw+X1FR0eCGh8Nhn8+Xm5sy48Q2vH81/tTrxtD9OnwF/gpfgjcAeAv2h7+BC/vA2/BX+DIA+8K7EIsPRp8J/zSCu+cQfzfBBQ/8B3YxRVN3hrchYH0QXAFAEFaCC5NhAqyG9f2J6U/H/7kRqpJ16wJf2nkC/en7a02aTXr0A4BMFGHdRwR3YUjQDveWlpZtvZGUXH311ZWVlb29vZdffnniWb/fP4SedJ/PF41Gh2o2QRAEQRCEYUf6//cRBEEQBEHYMeno6PD5fPn5+YMb3tPTo5TKycnpt6fruq7rPvHEE17LgeDCQXAgYPT0L8GbsD+8ZZLcAdecBf4BM+ELsDe8A14Uzh6wO+wGMXgfgJnwr4RtTDcTail6H3CgG6bAFKvdZjz0wtr4xpPTXmwkRfvk/gzsUSs/Jyk+6E1RWNW1WOa6GfqvRXAfHFI0NSlKqSF0iA851157bVlZWTgcTqq2Az6fb2gF90gk1X8MBEEQBEEQdnzE4S4IgiAIwkikvr4eSGNRT09nZ6dSKjs7O8P+c+bMcRzHdd21a9e+8sorBy9fbp/9q4mL0Zo75jfwN6O/72X1dy2TO/C/EIQ9rJbdYQVMSdiG3WLPkCrqfSKsim95OnnH/5Imh30l+GBiirOB1GK9xjbaD4ngK5Eyg0YE90S2Z0/39ddfX1pa2tXVddVVV6XqM+SCe29v71DNJgiCIAiCMOwQh7sgCIIgCCORe+65Z0CKeR90udRQKJT5kLlz5zqOM378+KOOOuqII46wfdlfhv/H3p3GR1Wf/R//nTNr9n0ZSAIJCUsAEVyoti5BkUrVuqACioAChh3DIrsKlH1xQUDFBVyoCna3d9u7pe39oH9rq1YFQWRRloQtJGSb9Zz/g3MzdwwhzEzOzMkkn/cDX4fJOb9zMcDr5fnONdfvOiGubzTGXQjxkRDXNup2F0L8SwghxCdCXP39la8W4uKo7+K0XbP3Eq9r9l30SrOd6QcuCuI1XiGOXGJlqxC2S99XvcQ8GbU5l14mCIqiCCFkmf8ZDhqB+8W0Dnejq2jqwQcfXL58eXJystPpbCFtF2H4wIDAHQAAdGQ8YwAAgI7LZmshBG6JtiVgUIG7EGL06NEul6tTp04//vGPhw8f7n+92UB54Pev/ViIq4X4RIgBjebJ+Gnt6l8IIYT48sKLXzQ6+OrCccsbq/ZsbmjMxRm9LESzn1SYLv31SfMlBsJougghmovXWyy2VbQOdwL3EBC4X0zfDnFdTJgw4aqrroqPj6+urp47d27LJ0uSpFfgPnHiREmS2DQVAAB0ZDxjAACADkpV1WATc7/a2lohhMXS8uDxZjz66KM1NTWZmZk33njj+PHjL1XYxbnzNUKIC4NlBnz//P9cOOgrhBCiT6NffnXhoHHz7d4Lu6T6f9nYMiEOfv8V00WvdLvE/qXKpTc+dTQ6brZvPcIxrtaPzEiZEBC4X6ytdbg/8cQTPXr0sNlsp06dWrRo0WXPlyRJr6nraWlpqqo2NDToshoAAEA0InAHAAAdVGsC9/LyclVVQwjchRCPP/746dOnHxpJXAAAIABJREFU09PTf/CDH8yePTuQS1pOqPtd+sJeFw56N3qx+PsDZ5r0vPcQotvlXhFC5DZ3O//8mUsVHPlg/VK0MuhwD8qoUaMEgXtz2lTgPm/evC5duphMpm+//XbZsmWXPX/y5MlCvyEwcXFx4sJHkgAAAB0TzxgAAKCDUhQltMRcCLF161ZVVc3mEPefnzZt2sGDB+Pj46+44oqlS5eGtoi4XK6tV8wd1F3aTqTeMma4hyAmJkYQuF9CGxkp89RTT2VnZ/t8vs8//3z9+vWBXJKcnCz0C9xjYmJUVa2urtZlNQAAgGgU4lMiAABAtPP5fCEn5kIIRVFac/m8efOEEDt27CgsLFy3bt1f//rX3/zmNyGvFojt27dbLJZdu3a9//77Yb1RVFAUhRnuwdK+EULgfjFJkgwP3IcPH96vX7/MzMy6uro5c+YEfqHWk+5yuXQpw2azKYpy9OhRXVYDAACIRjxjAACADqr1gXvrJ4CPGDHC7Xbn5OTcfvvtlxrprhefzydJUmxsbFjvEi0YKRMC7RshBO5NjBs3Thjd4T516tRrrrkmMTGxpqYmqLRdCGG321X9pq5brVZFUfhLAgAAOjKeMQAAQAfl8Xhak5j7fD5dttwcPXr0uXPnghrpHhotcLfb7eG7RRRhpEwItL/wZKlNJCUlCSG8Xq9RBSxYsKCoqMhms1VUVMydOzfYy61Wq6qq9fX1uhRjNpsNb/YHAAAwFs8YAACgg/J4PLIsDxo0KLTLtcA95MsbKy0tPXToUHx8/JVXXrl8+fKSkpLWr3kxLXC32WzhWDzqaJkggXtQtG+EELg3oY22NyRl/slPfrJs2TKHw6Eoyt69e0PbEEIL3GtqanQpicAdAACAGe4AAKCDcrlcycnJmZmZoV3u9XqtVmt6erouxWh9qe+++25hYWFSUtLYsWNff/11XVb283q9kiRpY7ihdbhLkmR0IdFE63DX3jr4ad8aiXyH++OPP37zzTfHxsbW19e35ssxZrNZUZQzZ87oUpXJZNJr/1UAAIAoRVMPAADooI4cOXLgwIGQ00O32y3LckJCgo4lPfjgg/X19dnZ2TfeeOP8+fN1XFkI4fF4CNz92DQ1BIyUaZb2b8rj8UTypvPmzevdu3dsbOzZs2dbOYpKC9x/97vf6VKYyWQycLoOAABAW8AzBgAA6KCqq6tNJlPIAbQWuOu+B+mYMWOOHDmSkJDQt2/fNWvWDBkyRK+V3W63JEnavpdgpEwItLeLwL0J7d9UxAL3Bx54YMWKFXl5eSaT6dChQ4sXL27lgiaTScdvLUiS5Ha7d+/erdeCAAAAUYdnDAAA0EFt3bpVkqT4+PjQLnc6nZIkaeOb9TVz5sxhw4YJIbp27XrPPfdMmjRJl2VdLpe4EA5CC9wZKRMUAvdmmc1mVVUjE7iXlZVdf/31KSkp9fX1kydPXrduXevXNJlMOk5dl2WZkTIAAKCDI3AHAAAdV2sS89raWnFhfHM4jBgxorq6OiMj47rrrluyZEnrF6yvrxcX9r0EHe4hYIZ7s7TAPdwpc0lJyZIlSwoLC61Wa0VFxcyZM/VaWZZlfbc5JXAHAAAdHM8YAACg41JV1WazhXZtWlpauEeijxs3bu/evbGxscXFxZs2bRo/fnxrVquurpYkicBdo42ZpsM9KHS4N8tkMqmqqn2DJEwmTZp0xx13ZGZmejyef/3rX08//bSOi8uyrNfU9alTpwohGhoadFkNAAAgShG4AwCAjsvn84WcmGuhUrj3IF20aNF9993X0NDgcDhuvPHGpUuXhrzUiy++qKqq1qQMLWGkwz0o2ucTBO5NaB3u4Qvcn3rqqT59+sTFxVVWVk6fPv21117Td31JkvQK3JOTk8WFL9MAAAB0WDxjAACAjsvj8VgslltuuSWEa2tqakT4A3fNqFGjDhw4EBsb26tXr02bNk2YMCHkpehw19DhHgLt8wlGyjQhy7KqquFImadMmbJ+/fqcnBwhxNdffz1//nzdbyGEkCRJrwH08fHxqqpq47YAAAA6LAJ3AADQcdXX15vN5rS0tBCuPXbsmKqqEcuv58yZ4291v+GGG0JudafDXaONmabDPSiMlGmWNlJG35R58ODBS5cu7d27d3x8fFVV1aRJk9avX6/j+n6jRo3SMXC32+2qqp47d06X1QAAAKIUzxgAAKDjWrVqlclkSkxMDOHabdu2qapqsVh0r6oFjVvdt2zZMnny5KAuZ6SMn9PpFHS4B0lr5abDvQlZlhVF+dWvfqXXgmVlZXfccUd2draiKF999dXs2bP1WvliWVlZQr9tTk+ePPn555/v2LFDl9UAAACiFN8pBgAAHZosy6EF7kIIRVEiP6Flzpw5Qoh33nnH4XAkJyevXbv273//+69//etAriVw93vppZd+8YtfELgHhRnuzdI+h9Blqfvvv3/AgAHdu3eXZfnMmTPz5s3TZdkWJCQkCCH0GkBvsVj0apYHAACIXnS4AwCADk1RlNjY2JCvNSq/Hjly5BdffGGxWAoLC++9996FCxcGcpWqqgxRaYzAPSjMcG+WJEm6vCfz58+/+eab09PTPR7Pv/71rwik7UKImJgYVVW1L3y0nslkCt/msQAAANGCDncAANCheTweu91eUlKye/fuYK/1+XwGNoxrIfvWrVszMjKuvPLKTZs2/ec//3nppZdauITAvTHejWDR4d4sbaRMa1aYOnVqQUFBt27dVFUtLy9ftGiRXrVdls1mU1W1oaGh9Uvde++9V155pV7TaQAAAKIXgTsAAOjQampqUlJSHA5HCNd6vV6z2RxaWK+XcePGCSF+/vOfd+7cOSUlZdWqVX/+85//+Mc/NnuyoihEzI3R4R4U7e2iw72J1nS4jxw58oorrujbt6/ZbD5//vyMGTP0re2yrFarXju+5ubmCiEqKytbvxQAAEBU44kLAAB0aCtXrjSZTCkpKSFc6/V6TSZTWlqa7lUFa/jw4V9//bXNZuvRo8dDDz20ePHiZk/TAveSkpIIl9dmEbgHhU1TmxVy4P7UU0/dcMMNmZmZPp/vyy+/jHzaLoSwWCyKopw7d671S8XHx3u93rfffrv1SwEAAEQ1OtwBAABEaGPcPR6PLMvaroOGmz17thBi27ZtqampiYmJW7du3bdv39q1axufowXuIc+sb38I3IPCSJlmSZLk8/mCumTmzJldunTJy8tTFOX48eORnCHThNlsVlV1165drV/KYrHoNQseAAAgqhG4AwCAjk5V1dBCc5fLJUlSXFyc7iWFbPTo0UKIHTt2ZGdnp6SkbNq06Ysvvti8ebP2U0VRzGZzfHy8oTW2FaqqErgHhZEyzQoqcJ8yZUq3bt169+6tqmpVVdXMmTPDWttlmUymYD8taNY999wzYMCAurq61i8FAAAQ7RgpAwAAOrq6ujq73f7ggw8Ge6HT6ZQkKSYmJhxVtcaIESN2796tqmpeXl5JScmGDRtGjhwphPD5fG2zYKMQuAeFwP1SAsmsx48fv3bt2v79+6emprpcro8//tjwtF0IYTKZdPkDzcvLU1VVl9E0AAAA0Y4OdwAA0NE9/fTT69evz8zMDPbC2tpaSZLsdns4qmqldevWCSHWrl3brVu3wsLCrKysVatWpaamttmCDUHgHhRJkpjh3sQjjzxy9913txy4P/zww3369Ln22mutVqvT6Txw4MDKlSsjVmHLTCaTx+Np/TraAPe33nqr9UsBAABEOwJ3AAAAoapqUlJSsFdp26XabLYwVKSPWbNmCSFeeuklh8PRu3fvo0ePSpLUlguOJEbKBIsO94tpH2JdKnC/5557rr766htvvNFms7nd7kOHDj3zzDMRrrBlsix7vd7Wr2OxWFwuV+vXAQAAaAcI3AEAAITb7Y6Njb3tttv++Mc/Bn5VQ0ODEMJqtYatLn08/vjjQog33njD6/VKknTttdeuWLHi73//++9//3ujSzMYgXtQCNwvpm1BfHFmfdddd11zzTVDhgyJiYnxer3Hjh1bsGCBEQVehiRJrQ/cx44dW1BQUFNTo0tJAAAA0Y7AHQAAQJw5c8bhcOTm5gZ1lRYwWSyW8BSlszFjxqxfv76uri4tLa1Pnz55eXkrVqz461//+oc//MHo0gxD4B4URspcTBvQ1DizHjZsWP/+/e+4446YmBhFUU6ePDlnzhzjCrwMXQL3jIwMRVGOHz+uS0kAAADRjk1TAQAAxLp168xmc2pqalBXLV++XFXVaAnchRAulys+Pv5f//rXuXPnkpKS+vTpM2rUqOXLlw8ePNjo0gzASJlgaW9XIBuEdhxWq1VVVW0M+ogRI1asWDFkyJC8vDyr1Xr69OnRo0e35bRdCCFJUutnuMfExLjd7l/84he6lAQAABDtCNwBAACEEMLn8yUlJZWUlAR1laqqZnPUfGXQ6XRKkmQ2mx955JE77rijqqoqJSWlX79+jz766Jo1ax588EGjC4w0AvegMFLmYtrnbV6vd+XKlbfccktubq7FYjl58uSYMWPKysqMru4yJk+eLIRwu92tWWTEiBFms7m2tlanogAAAKJe1DwfAgAAhFVVVVVycnJ+fn5QV0VX4F5XVyeE8Bc8atQoIcTbb7+dkpKSlJTUpUuX55577osvvti6dauRVUYKHe7B0kbK0OHemMViUVXV7XZ3797d4/GcOHGijbe0N5acnCyEaOVmp507d1ZV9dSpUzoVBQAAEPXocAcAABBCiKVLl5rN5szMzKCu8vl8JpMpTCXpbu3ataJR4K556KGHhg4dWlFRERsb271799tvv33z5s3Tp083qEa0XXS4N1ZWVvbcc88lJSUJIdxu97Fjx8aOHRtFabu4sONrKwP3mJgYn8+3Y8cOnYoCAACIegTuAAAA/8vj8SQmJgY1VUZRlCgK3DXNtuQ/+uijd9xxx+HDhy0WS35+fklJydatW+fOnRv58iKGDvdgMcNds2jRos2bN/fv31/bLHT//v0ulysa/7HY7XZVVRsaGkJeYfjw4VarlXkyAAAAjUXNN6ABAADC7cyZM5mZmUVFRYFf4vV6zWZzSUnJ7t27w1eYjlRVbeETgkmTJgkh1qxZU1RUlJOTk5WV9dZbbx09evTjjz/+4IMPIlhmJBC4h6Ajj5QZMWJE3759MzIyevbsKUlSXV3dwYMHi4qKioqKDh48aHR1obDZbKqqapOmQpOXl6eq6okTJ3SsCgAAINoRuAMAAPyvlStXPvfccxkZGYFf4vV6rVZrSkpK+KrS3WVb8mfPni2EmDt37jXXXJORkZGWllZYWPjiiy/u37//+eefj0iNEULgHpQO2+E+derU/Pz82267zWazKYpSVVWlbTcqhHj99ddb2SRuIG0AfXV1dcgrxMXFuVwu5skAAAA0RuAOAADwf3w+X1JS0tChQz/88MNAzvd4PLIsJyYmhrswvbTc4d7YypUrtYM333xTy9xzcnLeeOONb7/99q9//Wu0dPS3QFVVIUQUfTvBcNqmqV6v1+hCIuSuu+4aMGBAdnb2D37wA7PZ7HK5ysvLZ86c2fgck8mkKMr58+eNKrI1LBaLoigVFRWhXV5aWpqTk9OavB4AAKBdInAHAAD4P4cPHy4qKurevXuA57tcLlmW4+LiwlqVjgIP3P1GjRolhHjuuee6du3qcDgyMzN79OixYcOGvXv3vvLKK+EpMxK0kTI0uQdOe686QuA+bdq0rl273nvvvXa7XQjR0NBw6NChRYsWXXymLMuqqv72t7+NeI06MJvNiqKE/IFTWlqaz+fbuHGjvlUBAABEOwJ3AACA//PCCy88//zz6enpAZ7f0NAgSVJMTExYq9KRqqqyLIdw4fTp07WDn//858nJyampqQUFBW+88YY24f3Xv/61rmVGgha422w2owuJJu27w/3uu+/u379/dnb2wIEDzWaz1+s9c+bMlClTWrhElmVFUSJWob5MJlNrBgTZ7Xa2SwUAALgYgTsAAMD3VFVVJSYmjhs3buvWrZc9uba2VpIkrQ02KiiKElrg7jd8+HAhxCuvvOJwODp37pydnV1cXLxly5ZDhw6tXr1apzIjx2KxGF1C1NA63D0ej9GF6G/OnDnadJQePXoIIerr6w8ePLh48eLLXijLcvR+AiHLstvtDu3asrKy1NTU06dP61sSAABAO0DgDgAA8D2LFy9+4YUXOnXqFMjJWi98FHVJhzBSplnjx4/XDt55552UlJRu3brl5ubu2LGjoqLiq6++evnll1t/i3DTmv0J3IOiqmrIEW0bNG3atC5duqSmpl511VUmk2nChAmXbWlvQpKk6O1wl2U55A73pKQkt9v92muv6VsSAABAO0DgDgAA0JTT6UxMTHzggQfee++9ls+sr68XQlit1ojUpQNFUSRJ0nGn0JEjRwohVq1aVVRUlJaWlpaW1q1bt+3bt584cWLv3r3bt2/X5S7hoI2UMZv5/+FAaR3u0Zsv+40bN66wsDA9Pf366683m80+n6+2tvbIkSNLly4NdilJklozlcVYIbfnT5kyxeFwnD17VveSAAAA2gEeMAAAAJqaPXv2Cy+80KVLl8ueWVNTI6JqLInP5zObzQkJCfou++STT2oH2qiZTp06ZWdn9+rVa9u2beXl5Xv27HnzzTf1vWPrqaoqhCBwD5zWza3XRzWRN2rUqO7du2dmZg4aNMhqtSqKUl9fX15ePm/evJDXjOoOd0mSQgvcU1NTvV7v888/r3tJAAAA7QAPGAAAAM1QVTUjI+P222///e9/38JpK1as2LlzZxQF7toM97i4uDCt7x81s3379vT09M6dOzscjraZvNPh3kGMGzeuoKAgIyNj6NChWs7udDq/++67srKy1i8e7YF7CBP5x40bl5+fX1lZGY6SAAAA2gEeMAAAAJrx3Xff5efn9+7d+7JnqqoaRaGtz+eTJCkmJibcN3rkkUe0gzfffDMtLa1x8l5RUfH111+/+uqr4a6hZVpOqstE+w5CkiTtawFRYdKkSV27dk1LS7v11lu1oU9Op7OiomLy5Mk63iV6R8qMGjXqnnvuCSFwz87O9vl8X331VTiqAgAAaAei5uEQAAAgktauXfvCCy9kZmYOHjz4T3/6UwtnKooSRYG71+uVJMlut0fsjqNGjdIO/Ml7586de/fuvWPHjtOnT3/77beffPKJIVNKtA53AvegtP3AfcaMGbm5uampqTfddJPFYlFV1el0Hjt2bNq0aeG4XfQG7llZWUKIYLfAvf/++/v161dTU/Phhx+Gpy4AAICoFzUPhwAAABF2/Pjx3Nzcvn37tnxaNAbuhuzy6k/et2/fnpaWlpmZmZmZWVRUdN11173yyivHjx//4osvdu3aFbF6tOyYwL0dePjhhwsLCzMzMxMTE2+44QatE7++vv748eO6zI1pWZQG7vHx8UIIp9MZ1FVFRUWSJFVUVISnKAAAgPYgah4OAQAAImzlypUbN27MysoaNGjQX/7yl0ud5vP5oii09Xg8RgXufv5pM5s2berUqVNSUlJqamqXLl369++/fft2re09AvsxErgHq62NlCkrK+vcuXNKSsqdd95ptVplWfZ6vdo+qHPmzIlAAVOmTBk0aFBo+44aLiYmRmv/D/yShx9+uFevXnV1ddu2bQtfYQAAANGOwB0AAOCSysvLHQ5Hv379WjhHC9xLSkoMmYsSLG2ChLGBu9+kSZO0gyVLlvTo0SMpKUkbOFNcXLxr167q6upTp04dPnz4pZdeCsfdFUVhpEywDA/cx48fn5eXl56enpiY+MMf/tBsNquq6nK5Tp06dfDgwdWrV0eyGK1JPEoDd7vdrn0PIPBLunTpoqrqkSNHwlYUAABAe0DgDgAAcEk/+9nPSkpKbr/99haa3D0ej9VqTUxMjHBtoXG5XJIktbUZOIsXL/Yfv/baa+np6f629yuuuOL999+vqqqqqKj45ptvdGyt1bJjWZb1WrDdkyTJkPs+/vjjubm5aWlpCQkJP/7xj7XJ7F6vt66u7uTJk7NnzzakKiGEthdClAbuVqtVVdWampoAzx87dmxhYWFtbe0777wT1sIAAACiXdt61gIAAGhrbrjhhoSEhKuvvvpSJ3g8HlmWk5KSIllVyLSGVovFYnQhl/Too49qBzNmzLjqqqtSUlJSU1PT09Pz8/P79+//7rvvnj9//vTp00ePHt28eXNrbqQoiiBwD1LEOtwnTpyYk5Ojhey33XabxWLRtid1Op1nzpzZt2/fhg0bIlNJC7RvikRp4G42mxVFOXPmTIDn5+TkqKp64MCBsFYFAADQDhC4AwAAtGTJkiUvvvhidnb2fffd1+yWnlrPuDZcou2rrq4WQrS1DvdmPfvss/7jJUuWFBUVJSUlZWRkZGZmFhQU9O/f/4MPPqipqamsrCwvL//qq69+85vfBLW+qqqMlAlW+AL3YcOGdevWLSMjIykpKS4ubvDgwWaz2R+ynz59+uDBg2vWrAnT3UOjNYl7PB6jCwmFxWJRFOV3v/tdICePHz8+Pz+/urp6586d4S4MAAAg2kXBsxYAAICxJk+evGXLluLi4mZ/6nQ6JUmKiYmJcFWh2bRp065du6IicG+s8cyZJUuWFBQUJCcnJyYmpqSk5Obm9u7d+0c/+tGOHTuqqqoqKytPnDixd+/ey47Up8M9WPqOlCkpKenbt292dnZKSkp8fPzw4cOtVqv2+YfP59PGxRw4cGD9+vU63lRf2jdFtH0Roo7JZNL+CQSiU6dOQog9e/aEsyIAAIB2IsqetQAAAAzhdrszMjJGjx598QzxmpoaSZK0ac7RIqrbuhuH70KIl19+OSMjIy4uLj4+3uFw+Hw+r9d722237dixQ+t/r6io2Ldv33/91381WYfAPQSt6XC/8847/T3s8fHxEydOtFqtWhu7oihut7u6uvrs2bMzZszQseCw0rZsjd7APcBhONOmTXM4HFVVVb/97W/DXRUAAEA7QOAOAABwedOmTduyZUthYeHFP0pPT5ckyWazRb6qkEVdh3sLJkyY4D9eu3Ztp06dEhISYmNjExMTHQ6Hoiher/eWW2559913a2pq/C3wb7zxhqIokiQRuAclqMD9scceczgcqamp2p/ImDFjtB52bVCM1+ttaGiorq4+cuTIypUrw1dz+JhMJlVVXS6X0YWEQpZln88XyJkZGRler3fVqlXhLgkAAKB9aD/PWgAAAGFVV1eXkpIyceLEJnt1NjQ0iAvbJ0YFVVWjusO9BbNmzWr8y5/97Gd5eXlJSUl2uz0+Pj4rK0tVVZ/P5/F4fvnLX/o73BcvXlxRUXHgwIHLTqHp4CRJulTgfvvtt3ft2tU/gT02NtZut995550Wi0X7SENRFI/HU1dXd/78+ZMnTy5atCiytYeFFrg7nU6jCwlFgIH73Llzk5KSTpw4EYGSAAAA2gcCdwAAgIDMnDnz5ZdfLigoGDRo0F/+8hf/6+fPn1dVNboC9w7S1r1gwYLGv1y0aFF+fn5SUlJMTEx8fHz//v0rKysHDRqkZcFut/u9995raGior6+vra3VxpscO3Ys2L1Y2zdVVYcMGZKTk5OZmZmcnKy1rtvt9vHjx1ssFpPJJMuylst7PB6Xy1VdXX3u3Lk9e/a88sorRteuPy1wr6+vN7qQUMiyfNntXkeNGtWrV6+GhoYXXnghMlUBAAC0AwTuAAAAgTp58mRWVtZ1113X+MWVK1fu3Lkzioa0tOMO95YtXbq08S9XrVpVWFh44MCB5OTkuLi4mJiYhIQEbV9QVVW1WTQej+eDDz5wuVxaEF9TU1NTU3P+/PmzZ89WVFS07474ESNGZGZmavPW4+Li7HZ7UlKSqqqlpaVms7lxtq69V06nUxsRc+LEiRUrVhhdfiRogfv58+eNLiQUkiRddoZ7fn6+EOLw4cMRqQgAAKCdiJonQwAAAMMtWrRo06ZNDofj0Ucffe211/yvK4pisVgMLCwoHafDvWXaSJmTJ082ngIvhFi7dm1aWlp8fLzdbrdarTExMf7PJ7SJNIqiaCPIP/jgA7fb7Xa7/Yl8XV2d9l9tv9bf//73BvzGAlBSUuJwOLQWde3DBpvNZrPZrFartpGpxWIZMWKEyWRqHKyrqlpZWWk2m71e7/nz52tqak6dOtVkD9sORZZlRVE+/PBDowsJUcsd7lOmTMnNzT137tybb74ZsZIAAADaAQJ3AACAIEyaNOmVV17p3r17SUmJv8FZVdUo6nBXFKVjdrg3oQ2w1lraG2syCF4zderUoqKilJSUmJgYq9VqsVjsdntsbKwWRmvnaL3efj6f71e/+pUWzWu0wTXaK01e12jxvc/nUy9QFOXiAy0Qt1gs2oHJZNJazrX/mkwmy/c1+anJZJo+fbo/TNd+C01+F1ph9fX1Tqezrq7u3Llz8+bN27Vrl6qqd955Zzj/WKKJLMtB7SLbdkyePPmWW25xu90tnONwOLxeb5TuZwsAAGCgqHkyBAAAaCPOnTuXkpJyzTXX+F+JrghbURQ63MWFwD3At6LlGdbPPPNMenp6fHx8TEyMP+C2WCw2m80fZzdOtBsfqM1pvHjjX/qPG6/Z+EA0+gihyWcJjdfXEn+n06lF/A0NDbW1tefOnVu2bFnL70OU5sthIsvyZaeytE3JycmqqrpcrkudsHDhwoSEhGPHjkWyKgAAgPaBwB0AACA4c+bM2bJlS+fOnUeOHPnOO+8IIXw+X3QF7pIkNe7Q75i0qPTiDvcQPPXUU4GcNmfOnLS0NG1yi5bLN+469/eb+89vNjqXJEnroG/S9u5/0efzac3y2qCb2traY8eOvf76663/bQoC9+/T/iyMriIUsbGxQgin09nsT6dOnZqTk1NbW8teqQAAACEgcAcAAAhaaWnpa6+91rdvX+2XXq83ukbKWCyWpKQkowsxmM/nkyQpks3+q1evjti9woSPaCS6AAAgAElEQVTAvTFthrvRVYTCbrerqlpfX3/xj2677babbrrJ6/U22WQYAAAAAeLbxAAAAKE4f/58enr63LlzhRBer1eW5WiZba0FzXFxcUYXYjBtx0im6wSFwL2x6O1wt9lsqqrW1tZe/KOBAweazeby8vLIVwUAANA+8IABAAAQihkzZqiqmpeXN27cOI/HI8tycnKy0UUFxOfzybJst9uNLsRg2o6RuoyU6TgI3BuTJEnbCSDqWCwWVVWrqqqavD5t2rT4+PiampqNGzcaUhgAAEA7QOAOAAAQogkTJtjt9l69erlcLlmWo6Vn3Ov1SpJE4O5yuVRVJXAPCoF7E1EauJvNZkVRdu3a1fjFBx54wOFwqKp62b1zAQAA0AICdwAAgNCdPHkyOTm5oaFBkiRtH8K2z+PxSJJktVqNLsRgW7ZsEYyUCRKBe2PR2+GuBe5NXuzTp4/JZDp69KghJQEAALQbPGAAAACEbt68eS6Xq7a2Nop6xgncG6PDPUAjRowQBO4XidLA3WQyNal83rx5MTEx586de/HFF42qCgAAoH0gcAcAAGiVSZMmpaWlCSFsNpvRtQTE5XIJISwWi9GFtAkE7gGKi4uTJInA3a+0tFSSJK/Xa3QhoWgSuE+dOjUlJaWhoWHFihUGVgUAANA+ELgDAAC01m9+85u6urq4uLiSkhKja7k8p9MpSRKBu4aRMgHSvhJB4O6XkJAgorbDXZZlf+XDhw/v1KmToiiLFy82tioAAID2gQcMAACA1tq9e/fZs2fT09NvueUWo2u5vLq6OkGH+wV0uAdI+wtz8eDvDismJkZVVY/HY3QhoZBl2d+bX1xcbDabGd0OAACgFwJ3AAAAHZSVlTmdTofDMW/ePKNruYx169YJIcxms9GFtAkE7gHS/sLQ4e6njZCK0pEykiRpHxUsWLAgLi6usrKS0e0AAAB6IXAHAADQR2lpqRCia9euU6ZMMbqWyzOZTEaXYDxVVQncA6T9hSFw99Na/qO0w10L3EtKSlJTUxndDgAAoC8CdwAAAN089thjNputZ8+eDz30kNG1tERVVTrcNQTuATKbzaqqErj7WSwWVVXdbrfRhQRt1KhRQgi32z106FCPx7Nw4UKjKwIAAGhXCNwBAAD0tH///oSEhAEDBgwaNMjoWlpCh7uGwD1A2u6yzHD30z6yisbAPSsrSwjhdrtVVf3Pf/5jdDkAAADtDYE7AACAnlasWHH27NmMjIwhQ4YYXcslqapK4C4YKRMMRso0obX8u1wuowsJWnx8vBDC6XR+9913O3bsMLocAACA9obAHQAAQGdlZWX19fXZ2dlLly41upbmEbj7EbgHSOtwJ3D3M5lMqqo6nU6jCwmaLMtHjhxpaGjYuHGj0bUAAAC0QwTuAAAA+istLfV4PLm5uYsXLza6lmaoqqrlpyBwDxAjZZrQAve6ujqjCwnO4sWLExMTq6ur169fb3QtAAAA7RMPWgAAAGExbtw4VVW7du365JNPGl1LU3S4axgpEzg63JswmUyKolRXVxtdSBAWLFiQmppaV1e3ZMkSo2sBAABotwjcAQAAwmXs2LEmk6mwsHDGjBlG1/I9iqLQ4a4hcA8QHe5NyLKsquof/vAHowsJ1Ny5c9PT0xsaGhYsWGB0LQAAAO0ZD1oAAABhNHr0aJvN1qtXr9LSUqNr+T8E7ho63ANHh3sTsixH0ccPs2fPzsrKcrvd8+bNM7oWAACAdo4HLQAAgPB65JFHEhIS+vfvP2HCBKNr+V+KokiSdOuttxpdiPEI3ANEh3sTURS4P/HEEw6Hw+v1tsHxVgAAAO0PgTsAAEDY7d27NyEhYcCAAePHjze6FiGE8Pl8siwnJiYaXYjB6HAPnDZBhQ53P0mSoiJwnzp1ak5OjqIoH330kdG1AAAAdAgE7gAAAGG3bNmy/fv3JyYmXnXVVY899pjR5QifzydJUmxsrNGFGIzAPXDaGxUVEXNkREWH++TJk/Pz84UQe/bs2blzp9HlAAAAdAgE7gAAAJHwzDPPfPPNN4mJiVdfffWjjz5qbDFer1eW5ZiYGGPLQBRhpEwTbb/DfcqUKd26dZNl+fDhw6+//rrR5QAAAHQUBO4AAAARsnjx4kOHDiUlJV1zzTVjxowxsBKv1ytJks1mM7CGtoAO98BpbxQjZfwkSfL5fEZXcUnTpk0rKCiQZfnrr7/euHGj0eUAAAB0IATuAAAAkbNw4cIjR44kJSUNHDhw7NixRpXh8XgkSbJarUYV0EYQuAeOkTJNtOUO9+nTp+fn58uyvG/fvk2bNhldDgAAQMdC4A4AABBR8+fP/+6771JTU6+77rrHH3/ckBo8Ho8QgsBdU1JSYnQJUUDbNLXNRsyGaJsd7jNmzOjatasQYu/evVu2bDG6HAAAgA6HwB0AACDS5s6de/DgQW22zLRp0yJfgNPplCTJYrFE/tZtCh3ugaPDvQlJkrxer9FVNDVjxowuXboIIfbs2fPyyy8bXQ4AAEBHROAOAABggPnz53/xxRfx8fFXXnnlzJkzI3z3hoYGIQSBuxa48z4EgsC9sXHjxom21+H+5JNPFhQUmEymzz//fOvWrUaXAwAA0EERuAMAABhj2bJlw4cPj42N7du379y5cyN566qqKiGE2WyO5E3bIG0LUEbrBEKSJEbK+CUmJgoh2lSH+8KFC3NychRF+fe///36668bXQ4AAEDHReAOAABgpOHDh9tstuLi4kWLFkXspps3bxYE7nS4B0PrcG9rPd1GiY2NFW0pcH/mmWeys7M9Hs+MGTO2bdtmdDkAAAAdGoE7AACAwUaMGGE2m3v27Lls2bJI3pfAXetwJ3APBCNlGrPZbOLC5sOG+9nPfpaent7Q0FBWVmZ0LQAAACBwBwAAaANGjhwpSVJhYeG6detKSkoic1OTyRSZG7VZWoc7HzwEgpEyjVmtVlVVDQ/c77rrrpUrVyYnJ9fU1MyePdvYYgAAAKAhcAcAAGgTRo4c6XK5cnNz77vvvhEjRoT7dqqqErhrHe68D4FgpExj2rci3G63gTWMGTPmxhtvTEhIOHfuXIQ3gQAAAEALCNwBAADaitGjR1dVVWVlZQ0aNGjixIlhvReBuxBCURQ63ANE4N6Y2WxWVdXAwH3GjBn9+/ePi4s7derUwoULjSoDAAAAFyNwBwAAaEMmTJhw7Nix5OTkgQMHzpkzJ3w3InAXdLgHQxspQ+Cu0QJ3l8tlyN0XLFhQVFRkNpuPHDnyzDPPGFIDAAAALoXAHQAAoG154oknPvnkk9jY2CuuuCJ8aRqBu7gww533IRB0uDdmMplUVW1oaIj8rZctW5aTk+Pz+T7++ONVq1ZFvgAAAAC0jO/PAgAAtDkrVqwQQvz85z/v1avXhg0b/vSnP3344Yf63kJRFFnu6L0X2hagBO6BoMO9MS1wr6+vj+RNR4wYMWDAgPT09Lq6upkzZ0by1gAAAAhcR3/KAgAAaLOGDx/udrvz8vLuvvvu0tJSfRdXVZXAXetw530InNfrNbqENkEL3M+dOxexO06aNGngwIEJCQmVlZWk7QAAAG0ZTxcAAABt18MPP3z69On09PTrr79e360RfT4fQTMd7oHTRsoQuGtkWVYU5b//+78jc7uFCxf26dMnJibm2LFj8+fPj8xNAQAAEJqO/pQFAADQxpWWlmoj3fv06bNmzZqSkhJdllUURZKkIUOG6LJalNI2TeWDh0BoI2UI3DWyLGt/ecLtpz/96apVq3Jzc1VV/fLLL5ctWxaBmwIAAKA1mOEOAADQ1mkp244dO/Lz8x944IExY8a88cYbrVzT5/NZrdaEhAQd6ota2qcOdLgHQutwd7vdRhfSJsiyHIFx9lOnTh00aFBMTExtbW1ZWVm4bwcAAABd0M4DAAAQHUaMGFFdXZ2VlTVo0KAFCxa0cjWfzydJUmxsrC61RSltpAwd7gFSVdXj8RhdRZugjZQJ6y0WL15cXFxst9vLy8tJ2wEAAKIITxcAAABR47HHHjt06FBCQsKVV1757LPP3nXXXSEv5fV6JUmy2+06lhd1CNwDp42U2b17t9GFtAmSJIUvcL///vtXr16dk5OjKMqnn3761FNPhelGAAAACAeeLgAAAKLJrFmz7rnnHp/P16VLl7vvvjvk1lctcLfZbPqWF10I3AOnjZSBRpKkMI2UmTVr1k033ZSSklJTUzN58uQtW7aE4y4AAAAIH54uAAAAos/w4cMrKipSU1OvvfbaVatWhbCTqtvtliTJarWGo7xooWWmBO4Bisw2oVEhHB3uQ4cOXbFiRY8ePWw2W3l5+cyZM/VdHwAAAJHBpqkAAABRaeLEiUKI999/v6ioKCUlpbS0NKhmWAJ3cWHTVAL3QGgjZYyuoq3QvcO9rKzs9ttvj42NbWhomDJlio4rAwAAIMJ4ugAAAIhi999/f3V1dWZm5k033bR8+fLAW92dTqcQwmKxhLO6to4O96AQuPvpGLiXlJQsX768Z8+e2v6opO0AAADRjqcLAACA6DZ27NjPPvvMbrcXFxc/9NBD06ZNC+Sq2tpaSZII3AWBe2CY4d6ELoH7jBkz7r333qysLI/H87e//W3hwoWtXxMAAADG4ukCAAAg6j399NP33HOP1ur+wx/+cO3atbfeemvLl6xfv14IYTZ36AGDXq9XECUHjA53zahRo8SFvzwhu+OOO1asWNGnT5+YmJhTp05Nnjz5rbfe0qlAAAAAGInAHQAAoJ0YPXr07t27zWZzUVHRQw89NHv27Mte0sEDdzrcA8cMd7/U1FTRusB93rx5P/nJTxwOh9fr/eijj+bNm6dfdQAAADBYh37EAgAAaGc2bNgghHj11VczMjIGDhz47LPP/s///M+uXbuaPVlVVZPJFNkC2xaPxyMI3BGk2NhYEWrgPm7cuOLi4qKiIlVVT5w4MX/+fL2rAwAAgMEI3AEAANqbxx57TAjx/vvvFxQUZGRkLFmyZPHixc2e2cE73LXAnZEyAaLDXWO328WFvzxBWbp06bXXXmu1WmtqaqZOnRqG0gAAAGA82nkAAADap/vvv//EiROJiYn9+vV79dVXy8rKmpxAh7vL5RJ0uAeGkTJ+VqtVBBm4l5WVbdy4MTc3Vwixf/9+0nYAAIB2rEP3NAEAALRvpaWlQoi33347KysrOTl548aN//znP7dv3679lMD9/Pnzgg73gBG4aywWi6qqAQbu2gyZvn37CiHOnDkza9asMFcHAAAAg9HOAwAA0M499NBDd9xxhxCia9euQ4cOXblyZUlJiRBCVdUO3tz99ttvCzrcA8PHEn4Wi0Vc+HpEC+6+++6VK1ded911GRkZLpfrb3/7G2k7AABAR8DTBQAAQIdw3333ffPNNzExMcXFxWPGjFmwYAEd7hqi5ADR4a4xm82qqrYcuD/99NNDhw7t3Lmzqqr79u0rLS194403IlUgAAAAjMRIGQAAgI5ixowZQog33ngjMzMzOTm5traW5m5B4B4wAneNyWRSVbWhoaHZnz755JNdunQpKCjw+XzHjh2bN29ehMsDAACAsQjcAQAAOpYxY8YIId59911FUWRZfvnll7/44osXXnjB6LoMQ+AeCDZN9dMC97q6uiavT5s2rbCwsLi4WAhRWVmpfb4FAACAjobAHQAAoCN68MEHhRA7d+7MyMhIT0/ftGnTp59++sorrxhdV6QxyD5wBO4ak8mkKEplZaX/lSlTphQVFV199dUmk6m6unrSpEkGlgcAAABj8XQBAADQcQ0bNuwf//iHJEldu3YdMmTI888///DDDxtdVKTR4Y6gyLKsquru3buFEBMnTnz22Wevueaa9PR0l8v173//m7QdAACgg6PDHQAAoENbunSpEGLNmjXdu3cvLCx0OBzPPffcJ598sm3bNqNLixAC9wDR4a6RZVlRlJKSkrvuuusHP/iB2WxuaGjYs2fP6tWrjS4NAAAAxiNwBwAAgJg9e7YQYuPGjV27du3evXtOTs7GjRs/++yzrVu3Gl1a2BG4B4jAXSPLss/nGz16tMVicTqd+/fvX758udFFAQAAoK0gcAcAAMD/mjJlihBi48aNXbp0KSws7NSp06ZNmz7//PMtW7YYXVq4qKpK4B4INk0VQkydOrWwsDAlJUVRFFVV9+3bp31BBAAAAPAjcAcAAMD3aLH7hg0bunXrVlBQ4HA4tmzZsmfPnhdeeMHo0sKCwD1AHTlwnzVrVteuXQcOHGg2m51O59GjRxcvXmx0UQAAAGiLCNwBAADQjCeeeEIIsXr16h49enTt2jU7O3vr1q3ffPPNypUrjS5NZwTuAeqYgfuCBQtyc3P79+9vMpnq6uq+/PLL9vdPAAAAADoicAcAAMAlzZkzRwixbNmyvn375uXlZWdnv/XWW0eOHNm9e/ef//xno6vTASNlAtehAveSkpKbb765U6dOvXv3liSppqbms88+27Rpk9F1AQAAoK0jcAcAAMBlLFy4UDvYuXNnRkZGWlpa9+7dN2zY8Omnn27fvt3Y2lqPwD1AHSRwHzduXM+ePUePHh0TE+Pz+aqqqiZNmmR0UQAAAIgaBO4AAAAI1LBhw4QQb775Znp6enFxcdeuXbds2bJv375nn33W6NJCRId74Np94P7kk0/m5eWVlJRYLBav13v69GltPwMAAAAgcATuAAAACM6oUaOEEJs3b87NzS0oKOjcufP27duPHj36j3/847e//a3R1QWNwD1A7TVwv++++wYMGJCdnd2/f39ZlhsaGo4cObJgwQKj6wIAAEBUInAHAABAKCZOnCiEWLp0ad++fR0OR1ZWVs+ePTdv3rx///4oaninwz1AkiS1v8B9+vTp+fn5P/3pT+12u6Io58+f//TTTzdv3mx0XQAAAIhiBO4AAAAI3aJFi7QDbc5MYWFhXl7eW2+9dezYsX/+858ffPCBseUFgsA9QO0mcH/44Yd79+6dmZl5/fXXm81mp9N5/PjxJ554wui6AAAA0B4QuAMAAEAH2pyZFStW9OzZMysrKyMjo3v37i+99NI333yzZs0ao6u7JDrcA6coitEltNbChQs7d+48dOhQm82mKEptbe3hw4eXLFlidF0AAABoPwjcAQAAoJt58+ZpB9u2bcvIyCgoKMjLy3vvvfdOnjx54MCB559/3tjyLkbgHohHH3106NCh0dvhPnXq1IKCgrS0tH79+smy7HQ6v/3227KyMqPrAgAAQDtE4A4AAAD9jR49WgjxzDPP9OnTJzk5OTU1taCgYMeOHeXl5V999dUrr7xidIH/K3pD5Eiy2WwiCt+r0tLSbt26paen/+hHPzKbzV6vt7Ky8v/9v//3+uuvG10aAAAA2i0CdwAAAITLU089pR1s2LAhPz8/PT1dGzXz5ptvnjhx4j//+c8777xjbIWCGe4BsFgsInoC9wkTJhQWFqanpw8aNMhisSiKUl9fv2/fPu1v4+OPP250gQAAAGjPCNwBAAAQdv4dKbds2dK5c2eHw5Gdnd2rV68333yzoqJi3759r776qiGFMVImEGazWbT5Ge7jx48vLCzMyMi49dZb/Tn7kSNH5syZY3RpAAAA6EAI3AEAABA5paWl2sHrr7+elZXVqVMnh8NRXFz8zjvvnDp16ptvvtm4cWMk64mWrm1jmUwm0Vbfq6lTp3bp0iUtLW3w4MEWi0VV1fr6+u+++27WrFlGlwYAAICOiMAdAAAABhg7dqx2sHXr1uzs7KysrKysrB49erz33nunT58+fPjw2rVrI1CGqqqyLJeUlOzevTsCt4tSbS1wHzJkyFVXXeVwOFJSUm6++Waz2ayqal1d3dGjR2fOnGl0dQAAAOjQCNwBAABgpHHjxmkHL774Yk5OTmpqalpaWrdu3T744IOqqqqKior9+/dv27YtTHfXRsrIshym9dsHk8mkqqrhI2XGjBl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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = (graphE + graphM).rotate((0,0,1), 0.2)\n", "show(graph, aspect_ratio=(2,2,1), viewer='tachyon', \n", " frame=False, figsize=20)" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graph = (graphE + graphM).rotate((0,0,1), pi)\n", "show(graph, aspect_ratio=(2,2,1), viewer='tachyon', \n", " frame=False, figsize=20)" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [], "source": [ "graphMN = XN.plot(X5, ambient_coords=(W,X,tau), mapping=Theta, \n", " fixed_coords={th:pi/2, ph:0.001}, max_range=16, \n", " number_values=21, plot_points=150, color='green', \n", " style={u: '--', v: '-'}, label_axes=False) # phi = 0 \n", "graphMN += XN.plot(X5, ambient_coords=(W,X,tau), mapping=Theta, \n", " fixed_coords={th:pi/2, ph:pi}, max_range=16, \n", " number_values=21, plot_points=150, color='green', \n", " style={u: '--', v: '-'}, label_axes=False) # phi = pi" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show(graphE + graphMN, aspect_ratio=1, frame=False)" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "image/png": 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