{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The Eady model for baroclinic instability\n", "## Modal and non-modal energy growth\n", "\n", "\n", "#### Navid C. Constantinou\n", "#### RSES, ANU, 2018" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Rotating reference frame\n", "\n", "\n", "### The Coriolis term and the \"traditional approximation\"\n", "\n", "In a rotating frame of reference there is an extra term that appears in the momentum equations: the Coriolis term\n", "\\begin{align*}\n", "2\\boldsymbol{\\Omega}\\boldsymbol{\\times}\\boldsymbol{u}. \\tag{1}\n", "\\end{align*}\n", "Consider the expression of the Coriolis force in cartesian coordinates where $x$ is along latitude circles, $y$ along longitudes, and $z$ is in the vertical. Then,\n", "\n", "\\begin{align*}\n", "\\boldsymbol{\\Omega}\\boldsymbol{\\times}\\boldsymbol{u} &= \\left|\\begin{array}{ccc}\\widehat{\\boldsymbol{x}}&\\widehat{\\boldsymbol{y}}&\\widehat{\\boldsymbol{z}}\\\\0 &\\Omega\\cos{\\theta}&\\Omega\\sin{\\theta}\\\\ u & \\upsilon& w\\end{array}\\right| \\\\&= \\big( 2\\Omega w \\cos\\theta - 2\\Omega \\upsilon\\sin\\theta\\big)\\widehat{\\boldsymbol{x}} + 2\\Omega u\\sin\\theta\\,\\widehat{\\boldsymbol{y}} - 2\\Omega u \\cos\\theta\\,\\widehat{\\boldsymbol{z}}. \\tag{2}\n", "\\end{align*}\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### The Coriolis term and the \"traditional approximation\"\n", "\n", "A usual approximation is the so called \"traditional approximation\", in which terms involving the horizontal component of the Earth’s angular velocity are neglected. With these approximations we have that\n", "\n", "\\begin{align*}\n", "2\\boldsymbol{\\Omega}\\boldsymbol{\\times}\\boldsymbol{u} \\approx - 2\\Omega \\upsilon\\sin\\theta\\,\\widehat{\\boldsymbol{x}} + 2\\Omega u\\sin\\theta\\,\\widehat{\\boldsymbol{y}}, \\tag{3}\n", "\\end{align*}\n", "\n", "and the equations of motions simplify to:\n", "\n", "\\begin{align*}\n", "(\\partial_t + \\boldsymbol{u}\\boldsymbol{\\cdot}\\boldsymbol{\\nabla})\\,u - f \\upsilon &= -\\partial_x p\\big/\\rho_m, \\tag{4} \\\\\n", "(\\partial_t + \\boldsymbol{u}\\boldsymbol{\\cdot}\\boldsymbol{\\nabla})\\,\\upsilon + f u &= -\\partial_y p\\big/\\rho_m, \\tag{5}\\\\\n", "(\\partial_t + \\boldsymbol{u}\\boldsymbol{\\cdot}\\boldsymbol{\\nabla})\\,w &= -\\partial_z p\\big/\\rho_m + b, \\tag{6}\\\\\n", "(\\partial_t + \\boldsymbol{u}\\boldsymbol{\\cdot}\\boldsymbol{\\nabla})\\,b &= 0, \\tag{7}\n", "\\end{align*}\n", "\n", "where we have defined $f\\equiv 2\\Omega\\sin\\theta$, where $\\theta$ is the latitude." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "[There are some intermediate steps still to get the quasi-geostrophic (QG) equations...]" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Quasi-geostrophic (QG) equations\n", "\n", "In QG approximation the vertical velocity is zero (at leading order) and the horizonal velocities $u,\\ \\upsilon$ are given in terms of a streamfunction: $u=-\\partial_y\\psi$ and $\\upsilon=\\partial_x\\psi$. The streamfunction is proportional to the pressure: $\\psi=p\\big/(\\rho_m f_0)$. Furthermore, from hydrostatic balance, we have that buoyancy is also expressed in terms of the streamfunction $b=f_0\\partial_z\\psi$.\n", "\n", "After some fiddling around we get that the equations of motion are:\n", "\n", "\\begin{align*}\n", "(\\partial_t + u\\partial_x + \\upsilon\\partial_y)\\,q &= 0\\quad\\text{for }0)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(k, growthrate_analytic, label=\"analytic\")\n", "plot(k, growthrate, \"*\", label=\"numerical\")\n", "xlabel(L\"$k$\", fontsize=18)\n", "ylabel(L\"$\\mathrm{Re}(\\sigma)$\", fontsize=18)\n", "title(\"Eady growth rates\", fontsize=18)\n", "legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Now let's find the eigenvectors of $\\mathbb{A}_{\\mathbb{M}}$, $\\mathbb{A}_{\\mathbb{M}}^\\dagger$, $\\mathbb{A}_{\\mathbb{M}}+\\mathbb{A}_{\\mathbb{M}}^\\dagger$, and $e^{\\mathbb{A}^\\dagger t_*}e^{\\mathbb{A} t_*}$ for some finite time $t_*$. Remember that to plot we need to return back to streamfunction variables by acting with $\\mathbb{M}^{-1/2}$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "function eigenanalysis(A)\n", " S, U = eigen(A);\n", " mostunstable = findall(real(S) .== maximum(real(S)))\n", " return S[mostunstable], U[:, mostunstable]\n", "end\n", "\n", "function find_phi0s(k, tstar)\n", " # finds the eigenvector of A, A^\\dagger, A+A^\\dagger,\n", " # and e^{A^dagger t}e^{A t} for t=tstar\n", " \n", " A, M, AM, Msqrt, invMsqrt = create_operators(k)\n", " maxgrowthrate = maximum(real(eigvals(A)))\n", "\n", " s1, u1 = eigenanalysis(AM);\n", " s1adj, v1 = eigenanalysis(Matrix(adjoint(AM)));\n", " s1inst, w1 = eigenanalysis(AM + Matrix(adjoint(AM)));\n", " s1opt, y1 = eigenanalysis(Matrix(adjoint(exp(AM*tstar))*exp(AM*tstar)))\n", " return s1, u1, s1adj, v1, s1inst, w1, s1opt, y1\n", "end;" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "function plot_phi0s(;k=1.6, tstar=1)\n", " # plots the eigenvector of A, A^\\dagger, A+A^\\dagger,\n", " # and e^{A^dagger t}e^{A t} for t=tstar\n", " \n", " A, M, AM, Msqrt, invMsqrt = create_operators(k)\n", " s1, u1, s1adj, v1, s1inst, w1, s1opt, y1 = find_phi0s(k, tstar)\n", " \n", " nx = 100\n", " x = range(0, stop=2π, length=nx)\n", " eikx = Matrix(transpose(exp.(im*k*x)))\n", " \n", " # go back to 'normal' coordinates by multiplying with invMsqrt\n", " u1real = real.((invMsqrt*u1)*eikx)\n", " v1real = real.((invMsqrt*v1)*eikx)\n", " w1real = real.((invMsqrt*w1)*eikx)\n", " y1real = real.((invMsqrt*y1)*eikx)\n", "\n", " fig, axs = subplots(ncols=2, nrows=2, figsize=(6.5, 6.5))\n", " sca(axs[1]); contour(x, z, u1real)\n", " title(L\"eigvector of $A$\", fontsize=14)\n", " ylabel(L\"$z$\", fontsize=14)\n", " sca(axs[2]); contour(x, z, v1real)\n", " title(L\"eigvector of $A^\\dagger$\", fontsize=14)\n", " xlabel(L\"$x$\", fontsize=14); ylabel(L\"$z$\", fontsize=14)\n", " sca(axs[3]); contour(x, z, w1real)\n", " title(L\"eigvector of $A+A^\\dagger$\", fontsize=14)\n", " sca(axs[4]); contour(x, z, y1real)\n", " title(\"eigvector of \\$e^{A^\\\\dagger t_*}e^{A t_*}\\$, \\$t_*= $tstar\\$\", fontsize=14)\n", " xlabel(L\"$x$\", fontsize=14)\n", "end;\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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WRsFagC1Y2DdwyimnYN26dXj11VfR398Pl8uFAw44AFdffTXOO++8yR6eBQt7FawwooVReO211/Dwww9jzZo11gJswYIFCxYs7AGYzmdrxYoVWLhwISorK0EIwcsvv6z7muXLl2P+/PlwOp1obGzEs88+O/ED3Utxyimn4I033kBXVxdisRiGhobw3nvvWUTLwtcO1lpiwYIFs8B0ZCsYDGLu3Ll45JFHDJ2/fft2fOc738Hxxx+P1atX48Ybb8Rll12G119/fYJHasGCBTPDWkssWLBgFpg6jEgIwV//+lecfvrpmufcdtttePXVV/Hll1+qPzvnnHMwMDCA1157jfmaaDSKaDSq/j+VSqGvrw9FRUVjbtFiwYKFPQ9KKYaHh1FZWblHejxaa4kFC/sm9vRaMl587RPkP/jgA5xwwgmjfnbyySczm28qWLZsmdpSwYIFC+ZFS0sLqqurc/JZ1lpiwcLei1yuJSx87cmWYlWQibKyMgwNDSEcDsPtdme95o477sDixYvV/w8ODqK2thYtLS273SgYAFK9pwLJNpD8x0CchzHP+bzvL1jV+xym+Y/DCRWLRx1b1bsZd3z+AqbnVeCJBT8YdeyCl/6M1V2deOikU3BiQ6P68zVb23Ht//wVlUV5eHHJolGv6e8L4qKzHgEhwAsv3wCPd3SDaAVLFi7D2hXrccG9Z+N7N35nPF9dFx+++ikeOO8XqJtTjV+ufEDzvIvOehT9fSN4+PEL0dA4+vd746Mv49PNbbj7+yfixIPSXeXXdnXi/Jf+jHKfD28sumjUa+5a8yLe696A62d8C2fUHjrq2Kqe5/B5/18wK3AKjiu7mjkeGt8A2ncuAAdIyb9ABP/YvrhBpPouA+KfgvjvBfF8l3nO5qF38K/Oh1Dp3h+n1fxk1LGtw524bNUTKHT68Jdjbh517Idvvo7XtmzGrUcchUVz0z0aO/oGcdb9z8NuE/Gv/7wCgpBWZJLJFM757s8Riybw6DOXoaqmkDmmn13xOJb/YSW+/YMTcMV/XzDer69iaGgINTU18Psn5jqzMJFryV2n/RRfLF+Hax+5DCd+/5iJ+xJjwNbV27H42KXIK/Lht9seZZ7TPxjE2dc8BUKAvz15FVxO+6jj63u6cfZfXkSB04V3Lr486/Vf9K/FI1sfR42nGktm38H8DBrfDNp3FkD8ICXvmEYRTA3cCUT/CeK9DsR3CfOcl1pfxuudb+K4kmNwbt3ZWcfv+NcbeHXLRlx3yOG4/KCDs47/8IG/YPW6Ntz6gxNw4jGzmZ/xy6t/g7d+9y7OveMMnHP7Gbv3pfYQ+rr6cfH0GyAIBH9o/zWc7uw9JZlM4bTLHkMsnsSzD12AyrL80e8RCuG4/30KBMCqS6+E2z56brWEWvHjdcvgFb146MD/ZM4LmhoE7TkOAEBK3gURfFnnTMZawsLXnmyNB06nE05n9uTIy8vbbbJFU32goU4AIkjRYSAC+/0cUcAVsaEgUJj1mXmxPIheJwSPM+tYSWEhhMEBxGy2Ucca6wDR4cLOUAJenw9ihlyal5eHsvIS7OwdRm9PBPtVlDDHdPL538D6d7fgw5c/w8V3nzvOK8BH89oO2Igd+x82h3ut4zECm82FstKirPPcXh9EhwtOt2fUsapUEoLLhRFCsl5TV1yBD4LbMWiPZx2rx35YH/8bQvZWzTFReghoahqQ3Abi/BDEfeZYv7ouKE2AhjcBLhGkaAGIXWPuJAlcPhvyfflZ4w0IYYheJ2C3Z8+dgkIILheiNnHUMbfXC7vTjRSlSBAbivO8o143fUYtNqxrR1dHELPm1DPH9O0LT8R7L36Mj17+HIsfuQqiTRzHFciGWTZeLRhdS6bt14B172xG347+PfJAtycw+5CZsAsOhPqiSEYoCkoDWef4/X4UFRZgcDiM/uEEZpQUjTp+gNsNweXCIICE3YZCt2fU8WmORji6HOgj/fD5fRBIdhiH0v1A43YAIRBfFEQs3ZNfc9ygwhzQkTcAVysEjd9ZY0kD3h55B3029u91dk01/tnahLZYhHm8cWo1vty8E939Mc15Me2ARrzzwir0mGju+P1+FBTmY7g/iMGOETQeyN5TptRVYmtTD3YOxjFzWl7WexTl56M/EkFvMoE5RaPn1jRfI5zNTsQRB/EQ5DHXwzykYmVAqhfE0wPiqNQc82SvJaZLkB8rysvL0dXVNepnXV1dyMvLYz6JTjhicqdzsUGTaAFALBUGADgET9Yxm7wgJWgy61i+ywUAGIxGRv28JOCDTRCQSKawcyiU9brG6dIT+9bNXVnHFBx15gKINhFbV+9Ay8Y2zfN2B+tXbQIAzDpsuuY5yWQKkUgcAJgqnE2Ur08yNernyrUJxeOIJUdfuwp3AQCgMzyQ9X4lrmkAgN7oNqQY1xyQblTilgxdafhVzbHvFhKbARoCiA+wNWieFktJv1+H4M06ZiMSyeHOncjouWMXRZTmS0+EHX1DWa9rmF4OANiySXvuzPvm/ggU+zHQM4TP3lqreZ6ZMZFrSc3MKgBAy6b23XqfPQmn24myumIAQOtG9rgIIairltTMptadWcfddjuq/NI6t6WvL+t4ibMEdmJDnMbRG81+vfQZTkCUwzuJ7WP+HhMGmxw5SGzTPKXSLW3u7eEO5vGGAolAbOnPvjYAUF8tHW9uYx8HgNpZ8tzZMDFr8nhACEHdHMlzsemrVs3z6jlzhxCChkLt6+MQHCh2Sse1ri+A9FqZ1P49mQFfe7J1+OGH46233hr1szfffBOHH374pIyHxmWy5ZjHPU/ZMO0ssiXIG2Yqe8MMyBvmwC4bpk0UUFYgbZhtvYNZr2uYJpGtLZs6NccUKM7DQScdAAB449nl3PGPB8lEEhs/3gIAmHXYNM3zIuGY+m+Ph0W25OuzC6HKc7ogyE8vA5HwqGMK2WoP92e9X769EnbBjSSNoT/Wov0FXHJoNbYSNNmjfd54EV8j/W3fH4ShAChQiLpdyCYAKtlKpbKOKWSrf5e5AwAVRdKG2d6bTbamyWRr80btBc9mt+GY/zgCAPDvF97VPM/MmMi1pGaGtCmbacMEgGoD46qrkja8Jg1C0Fgobahb+rI3VIEIKHNJ86c9wiGatinS32baMNUxbYdWHVmFW/puQ4khBBPBrOPKtdnW38d8D+Xa7mhjE1EgTdRbN7YjxbivJwt1sySC3LyeR7ak77e9hf39Gguk67OVQdQBoNJVAQBoj3DIliiRLZrYyh/wJMN0ZGtkZASrV6/G6tWrAUjl2KtXr0ZzczMAKUfiggvSOSFXXnkltm3bhh/+8IfYsGEDHn30Ufzxj3/ETTfdNCnjR+wzAACx88lWXFUnOBsm1d4wdyVbAFBRJIUBWOpE4wxp0m7lkC0A+Nal3wQAvPb0vxGLxrnnjhXbvmhCJBiFJ8+tPq2xEApJZEsUBdgd2eEoLWVLIAR5ckhn1+tT6ZbyBToYZIsQASVO6YbtiWzRHBexTQHs8wAkgfCfNM8bL6iiihqeOyyibkAVZcydSoVs9WUT9cYZ0oaydXOX5qYDACd8/2gAwIo/fYChvmHud8gFzLSWKBtm+9YuxGN79r7aHdTMkFUTDWULAOqqZHVCg2wp6s1WDfVGISQdYc7aI04FAFAzKVtiLQARoEEgxVZ13aIbhQ7pQa6Dob7UBfJhEwSE4nF0jGTfE4pq2N45gHicrapXTCmFzS4iGo6hR4O0TAaMqLV11Xyirihb2nNH2rdY11YBsUlzx1SqKAOmI1uffPIJ5s2bh3nzpA1n8eLFmDdvHu6++24AQEdHh7pYAsCUKVPw6quv4s0338TcuXPx0EMP4cknn8TJJ5+c87FTGgPicgjFcRD3XDWMKLJCQdKvJclQtvJdEjnbVbkBMjZMhjqhhBG3b+3WvKkB4PCFB6OosgADPUN476UPud9hrPhq5UYAwOzDp0MUtXN6FLLl8TiYcXYtsgVok1FF2eqPBRFOxLJeV+KSQgZdkU3c70A8krkrDf0BlCa4544Z8U+kz3AcyD0tZoCoJ2kqixgpc4elbClzp40xd6ZMLYUgEgwOhNDTlX1cwazDpmPq3DrEInG8/vTb3O+QC5hpLSmuKoTb50IqmULbZv4DTy6hbJjNG7TVCV4YEUirN1rqRJVLDrVx1In0hmkedYIQh0y4wB1XBUd9sYsi6gPSgx7r+pQU+uBxO5BMUbR2Zj8IAoBoE1HZKBHWZhMpo0ZUUTWM2LaT+aCWVrbYc0u9ttwwoqxAcsK9ZoDpyNZxxx0HSmnWH8XJ+dlnn8Xy5cuzXvP5558jGo1i69atuOiii3I+bgAy0YoCpAAQp3BP5W2YdjmMGGeoE4Vy7kh/mKNO7MzeEMsr8uH3u5BIpLB9a7fmuESbiG9fJpW/v/LEG9zvMFas/rdERPc7ahb3vFBQ8i1yexzM43aZqMWT2denQCWjo6+P3+6G3yYRMVYosdQphTV5yhYAwHWK9PtNdQLRPUcoaGIHkGwBYAfs2VVLmTASggay1a0Ct0JEWURdUkVZc8fhtKF+ipQAu3mjNlEghOC0q08BIM2dyQ55mGktIYSgbrYUdmlap01sco1aRZ3YoK9stXYMMB9wGpQwYj97w6x0G9kw5bwbE5EtAIAB1aRSVV/Y9wYvL4kQklYOW7XztlQVyURkS5k7bZs7kWSsxQBQXVEAQSAIhmLYOcAKs8phxoF+ZuqDOnd4YUTld5Rs3vMPwHsQpiNbX2fQ6ArpH87DdCsfYtxQkFQkysrZKuCEESuLZXViZ3YoiBCC6bOkJ5GN6/hJut+67JsQBIK1K9ajaR0nh2kMiEXj+PTNLwAAh36LHyYLhySypWVRYbdpK1sFKhllEAqPLNmzyJZbStjvjm7WTJIH5GRez/8DANDQ7zXPGzOUueM4iFm+nAlecYWdZJCtXRYvLSIKAFXFClHPnjsAME0OQ/PytgDg+POOgjfgQfvWLnzy+hruufsa6mZLCcXNJiJbNTOlNaFzezdikWzFFwDKSwJwOmyIJ5Lo6GKEmeUwYvvwMIKx7PeoUMlWu3YY2ibncKbaQVMjY/0aEwd5I6ecXLIKNSeNfW/wctqAdF4TL29LITZmmjuldcWwO+2IR+PobuplnuOw21ApV7k2M8hkhd8Pt82GeCqF5sHs4iUlZ6sv1odIMnvdAgAIFQBxA4jLD6zmhEW29iSi/wYAEOfxuqfGkhyyJYcRY5wwYl84u+KwSlYnWAnyADBztrSwrl/HfzoqqS7CYQsldeWVx9/knmsUX7yzDpFgFIXl+Wg4sJ57bjCohBHZZEtJkI8xwqEKGd3JIltKknwo+6YvdNTCLrgRT4XRF23ijo+4zwFAgNh7oAn+uUZBo8ul93bqezAZydkCgFhq9FOeomyNxGKIJkYfy1S2kownzBkyUV//FX/uuL0unHyRNP//7zGrzU0mlOqtHXvoAWZPoKAsH758LyilaN3EJguCQFBblQ4HZb2H240i+SFn20D2g0y5qxwEBKFkCINxdhiaCAFAkC0fTKRuEVFfcTNakagVZq2vkckWJx+r3oRzRxRFVE+XyBAvSb6OQyYFQtBQoE1GfXYf8mzSg6CWckiIoOb8IbHZ+BfIMSyytYdAE81AYiMAEXAep3s+b8N0KMoWQ2Ep8qTVidQuT4nVxdKG2dU/zAyxzZwjPR3pKVsA8N2rpTyVfz71Fvo0cgnGgg/+/jEA4LBTD9JtmaAoW16fhrKl5GwxSIESZmWFyqrc0k3dxlC2BCKizCWpW52RDdzxEVsN4JCSwWnwKe65RkBTI0BMzo8zQtTVfD8WUdcOI+Y5XRDVas3RT4llBWnrkO6BbGVhljJ31rcjleJ3+Dr1yhMBAB+++tmEWYh8HaEUhfA2plyDEGJoXLWV0r2zQyNvK00oso87BDtKnVIYuoMbDjJhKNHAmJS8op5oD2Kp7OIHJcy6VSPMqlftCaSJevO6Vm6RSq6hzh1eGLqaHyadqip/GhWJaiiRV81qwrmzCyyytacQ/Zf0t+NgECGfeyqllJt3o+RsJWkKKbqrl5RbPkYxtIvXVlGeF067iGSKopNRDaYoWy1NvQiOaEiyMuafcABmHTYN0XAMf/yvv3HP1QOlFB/X1BptAAAgAElEQVT8XUr+Pvy7h+ieryTIa+Zs2TjKlltR/lhhREnZaguxF71yl5RL1hlerztG4rtC+kf4z6CJ3dw8Y+8BiANiXfoJjXd6Ssp9YBF1QogaSozvoowKhGQoo6OvjygIqv1Da0+2MjqloRQulx3BkShamvkVUTUzqnDYwoNAKcX/3rvnqza/rlA2ptaN7UgmtEPVuYYaolpvINFZY8NUCMVmrURnecNsC+tvmDSpkzeZSyj5QKlu0BS7wjZgz4NH9ICCojOSrb4oys3OcJgZkUgnkfchyUiNACTrEEEgGO4Por8rO9w2WVCqWbnKVhWfqDfqVLNWqnOHV2AhhaFpwkRzZxdYZGsPgUakkAlxnqR7bpLGkIK02LJDQWl1YtcN0yGK8DkkErLrhikIBFWyusXaMPMLvKiozAelkkLBAyEEi+7+DwDAK0+8if5udmjSCDZ+vAU9rTvh8jox/4T9dc9XEuS1crbS1YjaCfIsspVWttg3dblbJls6yhYAEMchgOMIAAnQ4OO65/NAI3Ko1nmCIZdjXr4fkCbrLGW0kENGq0u0w9CiTcC0mdKit0EnlAgAF94rtS5558WV2PGVeUIfk4myuhI43Q4k4kl0bNM2iM01apVcMk5Fohrq0sgratQp4TeSJE9UE1HzqBNE8GeEN9l5W4SQjCT57O/n0TF+rSgNwGEXEYsl0NnDDrM6XA6UT5UqynmkONdQij54VZJ69g+6c0euZu3gEnXzzZ1dYZGtDFCGr5Wh1yU7AcXM1KVPtpTNEmBXIyphRCCbbAFQ8yN2hrI3zJoSSVVr6WE//SihxHVf6t+wB598IGYc0oBoOIY/P/h33fO1oFhILPjOfDhcbLUqE6Fg2vqBBYdNuj4xhjpQ5JEICOsJstoj3dRtob4sxRAAyt0zAQA7ozsQTWZXzuwK4rtW+kf4pXGrW5TGACVfy3WiodfEOaam0s/l65PKrsxJky3G9ZGJutbcUUKJ67/U/66NB07B0d9bIKtbf9Q9f1+AIAhqubwZN0yeE7ga6mplm3M2cvJugAxzSt6GqeZHmUydUENU2vlAlToWBao9BoNQiKKAmgpJdddSf4C0MmqqalbF2JQT3qyX505v3whG5AfpTKStQ9j2EEaUrUyyRTkFTpMJi2xlgI48Mr4XRv4p/W2fDyKW8c/FaGWC5RRuI9pJzgDU/mOsDVOPbKU3TP3FnhCC798lqVt/f+x1dDeP3TU9mUji7T+8DwA4+kx2U+5doadsOexyGJFFtjjKTYU7HyIREE0l0BPNDgl4bUXw28oAUHRFNuqOkzgOzlC3xjt33gDosPT0bOf7awFAIhVDkkp5IU5Gux4gwzqERdRVMqpN1Fu15s5+xok6ACxaehYA4N0/r8K2L/ZMIcHXHekcF/ORrdZN7UjE2aXzNRUFEAWCUDiGnr7snD4ljNg8OMjMF1WSyA3lbCXbQGn2pjxpkDdynkN5hY5FgV6SvJ76AwC1M/Ud23ON6ukVEASCkQHt8KbP60RRgbRWsb6fYvwa1DB+Va5tT7QHCcZ+CEBu9+QAEAWS5rm3MmGRrUyE/hc0PrZqBkoToKHfAgCI+7uGXqMXBhKIoCY6xxmTS9kwWRV3taXShtnczU5qVzbM9V+1GUq0XPCd+Zhz5AxEglH86tqnxpyc+e5fVqG7uRd5RX4sOJVv9KpAIVteTesH+dowyJZCRHeGsomoTRDVisSWILtUucI9GwDQGV5naKzEd4P0j/BfQKNjM4GllIIGn5bex3Mut0WPgkxVdHeUrZ0soq7OHT5R37GtG0HGE+qumLJfLY49S2p187MrntD04tmXoG6YnJBdrlFSUwSX14lEPIm2LeyKL7tdRFW5dO+wzE0rfH547XYkUik0MUr4FXuEgfggQonsuQcAEIoAEgCQMpUbeDq8qb03VKkViWzlrlEvSV7HOBYwJ1HPDG/u4PZIVJTR7O9nF0XUcYxfC+z5cItupJBCZ4QdfidEzDA3NWco0SJbo5AAHbpnbIQi8n9AslUyunSfYeglMTlExUqOV+BUN0xeGJG1YcpkQmPDbJhWDrtDxPBQGG0t2k9RCgghuOmJK2Czi1j1yqd4/+WPdF+jgFKK3//0rwCA06/9FlwaVg67ItNBngUnJ0FeIaLhRAKheHZlUI0cSmzRSJJXyFaHUbLlmAe4zwUA0KG7x/ZEHvsASHwJwAl4zjX0EqWK1U5cEDIqDzOhzB0mUeeQ0Vp57jT3DDDvgaJiP8rKA1LOn459iIIrHrwQnjw3Nny4GX/7n9cMvWZvRmafO7NAEIR07g0nRKUQgh2MJPlRTYUZG6bH5kG+XW6ZxUgiV94jbSJqIjdwA/lASqirM9KFJCOM1aBTcVdvRNmSQ3ZmMjYFYGju6HmJpY1x2XNLCdPylVHF3NREcycDFtkaBRcQ/xgI/8XQ2ZQmQUek5GjivRSEsJWGXaGoE04O2VJCQSx1otgjSbIsdUJRtlp7B5mmn3a7qBpUrjOQewNIZoxn3XoaAOCR659GcEjjyXQXfPjqZ9i2pglunwunXXeKodcAQEi1fnAxj9s5YUSv3Q6XnNPFJBTeYgBAS1CjItGdrkg0SrqJ/xYpDJjcrs4HI6DBX0v/8PwHiFBo6DWqKspo86TAwSHqxTIZ7WVcm+riAARCEI7G0TvEzlmbvb+0sH611tjcKakuwuX/uQgA8MyPfo/OHdrdC/YF1M5UWpxwDD4nAWruDbf1itJUmK0Kq61XNJ3kZfNPbqKzCTdM1XC1DTTFvi+KHEVwCA4kaAI9kex0C6Xirm14iPkQmGn/oDUvlGbmO9v7Da/BuYBi1ssrhFGJumZDaoWoaz0EK3OH15Ba6a9pKVumB/FeDgCSuhUz4H4d+TuQ3A6QfEDumWcEPNsHBQ7RLp/LCiNKpI61YZbl++G0i0gkU8zWKwCw3wHSzbF2jfEqsfN+dCYqppaht60PD5z3c93SdUopnr9fKvtfeNXJyCv0G/4svXY9TjVBPvvaEEJU9aY3lL0wKmSrKcjOPytxNcJGnIikhtEfa2aek/WZgh8kb4n0n+DjoNF3dV9DY58BsZUARBDvpYY+B8icO9rEXiFb0WT2op4OQWfPHbtNVLsQNHWxw9AK2VpnkGwBwLcv/yYOOHY2IqEofrrol4iG+eofpXSP9+U0C6qmVYAQfo7LZKB6ukwCOb5oCtlq1mwqzFdvKoz0SDThhkmEfEB5GEqyw5sCEdRQaRvDDyrT+JWVJF9TWQBCgOGRCPoH2UTKl+9FYbmck2sidUsxXOXlkqnK1jj7a+oVIAAAUQsZTETUM2CRrUx4L5RNJWOgA1dLVYYaoMlO0OGHAEgkTa/FSiai8tORk6NOODl5N4qyxSITgkDUUKJW3tYBB0rNVdeuNkYmAMDpduLOF26Aw2XHR//4HI/d9Cz3/D/89GVs/HgrXB4n/t/NCw1/DgA1H0jL1FRNkNdoqM1Tb2o9EtlqDrGfzkViU6sSW0NfGB+082TAdRqAJOjA9aBx7TAkTfWDDt4i/cd9BohYZfhjoqoqypk7Im/uaF8bAKiT544W2dpvf2lhXfdlm6Yn0K4QBAE3PXEFvAEPvnp/I35yLp+s/+M3/8J/XzzOggOToJNhvQJIOS5l9ZLBZ4uJQolGwptqDz8tsqXXVFhWJzo1nMABGOpFOCkQ9cel1yNxKuf6OB02VMhtbXihRLVHoqnmjkLUtcekkK2O7kFEo9kPgVN1VFElSd5QGNEiW+YHISJI4CHANh1I9YD2XwLK+MXR1CBo/2VAqluK53u/P6bP4ZlSKuCpE8qG2RPU2jClp58dWhvm3BoIAkFbSx96e9hGfSzMPHQabv/t9SCE4G+PvIanf/QCc9N8548r8fSPXgAAXPHQhSiQFxGjCI3I1YgaOV5Ou3xtNCqn1OvDIBR1srLVGupj9p4EgCrPXABA2xjIFiEEJPATwHE4QIOg/T9gEi5K46ADN0h5fmINiP82w58BGMv3cwiSKhrlkK2eIDscUlfGJ1tTGkvh9TkRCkaxZRNn09wF1dMrcd/fboPdaccHf/8EP/vBE4gxFt11qzbhkeufNvy+ZsV2jvFr2rHdPOqEkfCm0rKnfzCEoeHs4pzGjIbLu3a3ANLqBL+EX05yTm4ftxXPhEAeF2s/UFCha/+gndMG8JPIFdSY0DpEUUUHugcx3M/ua1kQ8MDvc4FSoLkje23JNH5l9rVVc7Y6mbY9ANJzhw6ApvTzkXMNi2ztAiL4QPIfB4QSILEFdOeZoKE/gKb6QGkKNLoStP8SILEJEEpB8n9tOFdLQbovIk+d0N4wS1RlS4Nslcll2BobptfnwtRGqYJkLOoWABz9vcNw2U/PBwD8ftlfsfjYu7Hp061IxBMY6hvGH/7zZfznBb8CICXFn3qFMe+oTARD/GpEBydBHgBKvdrKX4krD07BjiRNMdv2AEC1QrbCX4wpr4YQB0j+/0g5Hqlu0J3/D3TkV6BJyT+GxlaD9l8OxFYBxAuS/4jUE24MUIg6T9lSc7YYRF2ZO+FEgtk0uF4mW1pEXRQF7C8ro198Pra5c8Axs3HnCzeAEILXn30bV82/FZ//ey0S8QSi4Sj+8rNXsOTUZYjHEjjs1Pljem+zobmD03plln5Cca5R2VgOQRQQGg5jZzt77B63A6VFUjoAS32pDeTDLgiIJBLoGM5+iFOUn+5oN+KMtjYAALEGgB2gYSDFb3qeSxADuWSVOuqLqvxpmHfWVmkXIChQHNtbN5lH2fL43SiWx66lbhFCUC+fwwpDex0OVPqlucW6PiWuEohERCwVQ1+MfX0IcQOCHCUwobplkS0GiK0apOivgOMwgIakKrPuw0C7DgTtvwiIrwVIHkjB0yC26jG/f3QMG2aUsSiVeCV1YjgWRSSRfTy9YWrftAfMkzbMNZ+P3f/orFtPwx3PXw9PnhvrPtiEaw65Hd/1L8J/lF6Kp+74HeKxBI48/RBc+bMLx/zesVgC8ZhEorR8tlwOPWVLuq4s5U8ggpq31ayRt1XumgWR2BFM7MRAfGxPkETwgxT+FnCeBCAhka2ew0G7DgDtO0vO07KBBB4Gsc8c03sDxhLklTAii6h7HQ547RKR72aoWwpR582dufPqAABrPtthbNAZOOqMBbj7zzcjvzSA5vVt+OEJ9+HbrvPw3bwL8PjNz2G4bwTTDpqKGx6/YszvbSY0t2r3EzVjQ2q7w47KBn2Hcl6fO5sgoD5fWntYic759nx4RDcoKKci0Q7Y6qX/mKmpsIF8oIoM9YVp/Ko4pWuEWfUKEACgxoT9NYF0eJM/d3Tytjj9NUUioswlzU++MmreUKJFtjRAxFKQgmdAfLdm9KuLAMQHuM8DKfoTiH36uN7b0IaphIIY6oTf4YRDlNQdFqGoL1c2TO0FX9kwvxgH2QKAb5x3NH695iEc/t2D4fG7EY8lkEpRTJ1bh5ufuhp3/fFmiCLbmoCHUIZ/k2aCvBxGjGiQrRJZ2eoJsSXtepls7dAgWzbBofZJbA2tNjDq0SBCIUj+r6SQtFgr/zQKwA64vwdS/AqIS7/hNAtpjzZtNZU3d4AMMspQ/uplL6X23iHENK7v3PnS3Fm7pgXJxNhDPUedsQBPrfsZTrnkG7A77aCUIpVMobS2GIt/cyV+ufIn8PjHphabDVxly0Cp/GRA3TB5rVfUqjmthtT8En6VkBh0AzcNMnK2tBzKy1ylECAgnAxjIJ5d/KAUEOwYHGAavxqxf1DmTtvmTsRjGurgJEAJb/IS92s5yhbAt38AgCp17uhXs5qxR6JN/5R9F4SIgO9yEN/loKlBILEDsM8AIWxLAqNQ8m74YUTtnC1CCEq9XrQODaE7GERNYHQoSsm76R0MYjgchd+drRDtd2AtCAFamnaib+cICouMJ/grKKsrwX0v3wZKKTq3dyMajqFudrWh/n5aCGZUIooi+1nA5ZDIRERjsSmR85JYyg0A1PukXmc7RrQd8as9c9EW/gKtwTXYP/9UY4PPACEEcC8EcS8EpWEg0QQIJSBi0ZjfKxPK3OGpoi41BK1xfbxeNA0OMPO2ivO88LkcGInE0NIzgIbK4qxzpjaWwed3YWQ4gi2bOjFDbnA+FuQV+nHzk1dh8W+uxEDPEAa6B1E9vQJ2+XeL7LSNrxVa2vtBKWXeC4rNQl/nAIb7R+AvGPu9NxGonVmFD/7+ibGG1Lw+d1s3a6o3le4KbA1u0+2RSCFtmONfSfYwxCpIDuUxyaHcVpt1il2wo8RZgq5oF9rDHShwFIw6XikbvwbjcTQPDqi+ZAoU1VBpa+NjKPsl1UXw5LkRGgqjbXOnWgk42VA9wDjVrHU6YdJ0TpvW3KkE+j/lV7PKc8dURF2GpWwZBBECII65u020gMwwonaSs4uT5Ayk85K6g9nqjd/tRHFAOr6jkz2x8/Lcat7WeNUtBYQQVEwtQ/2cmt0iWkBGqx6OAWpmgjxLrk9fGw2y5ZWqwbSULSCdt9UaWrPbfkiEuEHsM3ebaAHpucMrrlDy/SIayhbv+hBCVGV0u8bcEUUB+8+VNpvV4wgl7vp5BaUBTNmvNk209gKEwjH0MtraAFKOS4nc2NlMic5p00yesamxEv7NvA0TfPsHGHBszzWMOpRXctr2EELUqjuWeuP3urhtbZT3SPeyNE8Y2kjRh6LctbT3MSuZVVVUy/7BUI9E2RPNRHNHgUW2JgFqNSI374YfCir1Sk/DrFAQAEzR2TAB4MD59QDGl7c1UQiO8G0fgHTOFqVsY1P12gSDTKJU75PJ1ki3JpEqd8+GSOwIJfswEDNPuCdtG6LtW6YQ9fGQLcDg3DlIztsy0dwxG7iJzjPNl3ujhjcNKFtaJfxqXlI/25xTJSNcc8rMpsLmMX5VSWBSn2xphUn3REViukei+Yh6x9ZOZpUxAJSX5MFhFxGLJ9HZk+0BqRB1LeNXtb9mmGMIrOTWpTpBU+yHncmCRbYmAXq9EYF0KCiczK4YA9IbZucIe0IpG+a2Du2b9gA59+azj83jaaOQLa3keCAdRgSAMOPGVnK24qkUs+FyracYAgiGExHsjLGvn01wqK17WkKfG/8CE4xoUhovP4wo5bppzZ0ymYx2MVRRAJhSocwdXoGFNHe+XNOChI7B7b4KrbwmQArZAUCTifK2FALY1zmAoT62JUx+ngd5Sgl/e3ZO6NSCAhAAA5EIs3drpWxs2sUt4a8DIAI0CKTYvfAmA4ppJi8fSDE21SKTafVGo0eiGmrTtw5pWm8eZauwPB/egAepFEWbRqWkKAqoqdT+foVuDwpdUq7mNobyV+4qBwFBMBnCYJxt2E2EgOQkAJgulGiRrUlA1FDejbRhaocR0+oNCw0V0hMSb8OcO78OoiigvbUf7Zyn8FxiZCQCAPBxlC2bKMAm53OxKhIdoqi6NbPUG6doR5VHJhQj2ot5jWceAKA5+KnB0U88oilpE3SK2nk+Lp0wYplPmnddGkR9qjx3eMrW1MYy5AXcCIdi2PCVeZ6wzQT+hqmf45JrePxulNbKlboaJJAQwg0lumx2VOVJXQhYeVvFziLYiR1xmkBPlB3GJ8SRLiwx04ZpqEciP0yadkrXakjND9MCxhTIXIMQYjCUyG+43VCobY/hEOwodkrzk29uqlSOmmjuwCJbOQelNMPUVJtsuXWUrXKftNlqKVsNlbJc3a5dRuz1OtX2K598aI5S2aBKtvi5cYq6xVK2AKBMvT7sJ/SpPilfbfuwdq++Ou8hACRlK0nZpDfXSBN1bbLllol6ZJzK1tSMMCKrvyYgdSqYf4iUw/LxKnMtamYByx5BgRmNTYH0Rr7jq/G3XmlQ+twxNkyBCMb63Kkl/CaaWyrZ2qIZxlLCiIPxQQQT2Q96mWFWlvHrWBpSt25sR5JR1ThZUPzj+D0S9XL+dJLkVeNYXkWirEAmzVWRaJGtHCOeCoNC2sB47Xpc6oapEf/28TdMpYqss28YI5xedAcvkBY1s5CtkWGZbOXpkS2+/YMeoWjwS2RrK0fZKnVNg1sMIJYKoTOs3X4nl4gmFWWLk7Olq2xJr9VStiqLAnA5bIgnkmjp0e7fd8hh0qL2sUnmjtmgVeIOpDfMrh09ur0icwm1ITW3zx1fnWjkqBPAaD8qTSgl/GZqSC3WArDJ4U322N2iG4VyFSKLTCrGr+FEAh2MB8G6zJy4mEZUo64YDpcd8VgCndvN09i9Vm5IbaSZuVY+o9Eked7cIaI5eyRaZCvHiMpJewJssHEqG9MbJl/ZYjk1A0DA60KJXJG4lZO3dfACaWKu/mwH4hqO7LnEiJyzpadsuXWUrfT10SBbsrK1ZZhz0xIBtd6DAQA7Rj7ijicXSNIE4lQio0aIup4qGozHMRTN3ugFgahh6C1t2sqoMnc2b+hAfx87nL0vY+dAEMPBCPNYfkke/AVeUErRusk8TumKlUDTbjUV5pt3ppPktdUJMzYVJsSRYbi6SfO8Sk7D7UzjV1bT5aJ8L3weJ1IpilZGWxsAEEUR1SZs21M/R79KMq3c7RyX8auhAgsrjGgBACJKgrPo49okeEQpZymU0NowJXUiGI9jmLFhAml1a2u7NtlqnF6O/HwPwqEY1n05+cm6I3LPNZ+fT7Y8TolshTTJlqzeaIXKlDDiSLd2oi6AejmU2BT8hDueXEBJjgf4YUSPDtny2O3Ic0rzS0vdaqyS5g4vDF1Y5EPjdCkk9OlH5tkUzQAjJfxGmj/nGsomzm1IrZTwdwwwiyMUZUtLndDrIQgAMKk6ka6U1G/bo0UmeUnyUk4c38sMSBdYmGnuKCHo1k0dmoarNRUFEAWCYCiGnf3ZD2h6xq+VRuaOQraSLaCUvQZOBiyylWMoCc4uThgISOdsaSlbmRumVt7WNHnD3MxRJwSB4KBD5VCiCXJvhockJcCvQ7bcMtmKaJCtCrnPlpbyV+ctho2ICCaj6Ahrh8pqvQcBAHqiWxBMTG4RgaKKOgQPBKLtzu+28ckWAFTIZJQVygCARpmo85QtADj4MGnufLzKXPkRk42aSrmhNyfRWSE2Wv3kJgPKJt7d3IuwhipXWuSHy2lDMplCe9dg1nGl7UrHyDCz/6aSs6XV1gZA2tMq1W2uEn61IbV2Bbee+qKXl6RUJPIbUuu7/ecaJTXFcHmdSCaS6NjGDm/a7SKq5C4VrLZElT4/PHY7EqkUmgez1+UK+dr2x/sRTmo4HwslUqcXpCQzaZPAIls5hpHSfQBw2yQiFUxq53OooTKNDTNNtrTNOwHgYCX3xgxkS1a2vLrKlkQoglGdMKvGtbEJIqbITvK8UKLHVoBSp2SUN9nqlpKvxSusANIJ8jyypReGNkLUAeDQw6Qn/U8+3MY0KtxXUVep3UNQQXrDnHxFWUFekR+BYomIa6kmgkBQW6UdSgy4XCiWuziw8raUEv4Qt4Q/DxDk7gUmytsiBhL39ZQ7vbY0dTp5TUDapsNM1ayEEENtexTljvX99IxfvTYvAnap2rUjrNVfk6QLLDieaLmGRbZyjIia4JzHPc+jU1EGAJV+edLpbJhb2nq55oCKsrV1cxd6e9jvlSsoCfL+PH5vPI+Ln7OVeW20vnujX3rC3jLCSdQFUOeTQ4kjH3PPm2goRN1lcO6ENULQQPr6tGvNnWrJq6a1dxDBiPb7zNqvCh6vE0ODYWzeaJ7co8lGLcdPSD3HpBWJ6Y2cE0qs4oe6lFAZKy/JIdhR6pTmF7eEX1Qc281DttKbuL6ytTO2E1HGw3L62ugoWxyftpqZ+uHeycDY5o5Of02dMDR/7qR7WZoFFtnKMRR1wsXxSQLSoaBQQlvZqpRDZe3D7KfDKeWFsAkChkJRdPVrS/EFhV7MnCPdJB+8p534mQsMD48tjBjSULYq/ekk8OEY+xpOl8nW5iE+2ar3HgoA2BH8aFItICIphWzx545HVkXjNIm4hk9beu6wyVaBz60WWPBCiTabiINkC4gPV1qhRAU1VVKohEe2lGT05vVtpirhVxU3TpJ8Oq9Iyy9JUme02vZUqK1XeCX8kmpqqqbCCgFM9Ur9chnw2/zwil5QUHRGsqudFTLRH4lgZyiUdVxp9t3c3q+pFldPl8jWYO8wBnvZ6/9kwIhaW6e65Gv1SOST0QoDSfJEDfdaytY+i4hiSinwc7a8okQ2ghx1Qsm7adPYMB12m9qUWi+UeOTR0wEAH7w7uWRrRM7Z0kuQ9yphxAhb2XLZ7CiUjU3bhjTykhSyNcxXZMrds+AW8xFLBdEWWsM9dyKh2j7ozB0ljAhozx89og4A06ok9WFTK3/uHC7PnZUrNnLP25egPL1rtbUBgLL6EqmEPxo3VQm/2kqIV8JfpbNhKupNP3vDrFLMP3UaUgMATES2iOADBKm4RktxI4SkCQFDfXHb7ahWjF8ZobKKsoDU1iaWYLa1AQCXx4nyerntmIl6JBop+lDuDS1rFDWnTSPMWsWp9lShhnvNo4paZCvHSIeCjKkT0VQciRT7qVdxauZtmNOrlQ2Tn3tzxDEzAACff7IdweDk+P7EognEZG8Zv18vjKiQLf1QWZvG9ZnmlxbE1lAfV0EUiIipvsMBAFuH3+eOayKRDkHz545NEOGU+yMGE+wkZ2NzRwpDb9QhWwuOnAZBJNi2pds0nQgmG5ltbbRCbaIoqptTE8dENNdQwpstnPBmZsUcK0zfoFORaMyc0nwNqQEYshbQ65GoGr8y1BubTlsbBXWKTYcJ507z+jbN9A2FbGlZoyhEfZtOf822kIG5k9wKyqk2zyUsspVjRNQwIj/vxmtLqxMhjbytKoVMaCg3QAbZ0lG2auuLUV1biEQiNWlViUNDUnK8IBJuI2oA8MlkK8QlW7LyN8QmFIVOH4qdflBQbBnm92Br8B8FANg2snLSbt703OErWwDglcl6SKPAQrk2HSMjTCdrAJhRLRUQ6ClbeXluHLc5q6sAACAASURBVHCg1Cvx/RWTq4yaBZltbXgl/OnWK+bbMFs3tSOp0feyulwq4Q+FY+jty05RUCoSmwcHEGOESHnKjwqbVJiCZCsoZT80TAoMGK6qZFKvbY+GeqNnHAsAdYqJqInmTtW0CggCQXAwhP4udpW31+NEcaH0wMi6N2oD+bAJAkLxOLPASSFb3dFuxFNs1RhiHQA7QMNA0hy5pBbZyjEiKWnj19sw7YINTkFySddSJxQpumNkGMkUmwDMqJHI1oZm/TDFEUdL6tb7kxQOUt3jfS6uBxkAeGWyNcIhW8r10VK2AGC6rG5tGuYnmtZ45sEuuDGS6EVXZHIIhVHbECBNtoIail25zw+REMSSSc3+msrc2dLeqzm/FBx5rDJ3NuiObV+BkQ1TdWw3UQl/WV0JnG4HEvEkOraxH0IyS/hZ6ku5zwef3YEkpWgayN50R7e1yc5bAgAIRQAJAKCmCgeRPaBsNXIKCIAM41huFwKlIbV5yJbDaUf5VCnMyiv84Nlb2EUR9YF8AGxlNN+eD7foBgVFFyMnDgAIsaXtQ0xSzWqRrRwjYjDvBkhvmCMaZKvU64VdEJBIpTS9tmbUSOpES88AhnXaghxxjJR789EHW5hmhRON4SFjhqYA4HXLZIvznRSy1aqhbAHA9DxpUdw4xCdbNsGhGpxuG1mpO76JwNjmjnQNR+LsuWMTBNX4Vev61JTmw+WwIRJLoKmL7Wat4Eg5DL1ubSv6GUrHvggl0Zm/Ycqu2xqNnycDgiCkw5uccSmhxO0tbHNOJZTISpLPbGvToRFKlEr4TWhuKurnkilkqzPShSTNXkv1CghU+wfGtVXPUVRRE80dIIMEcsZVr5Mk38DxIiOEqMphmyEneXPMHVOSrUceeQT19fVwuVxYsGABPvqI3yrl5z//OWbMmAG3242amhrcdNNNiERMJDtnIGowjAjob5iiIKRDZRrqTYHPjfJC6ZxNLfxw0MzZVcgv8CI4EsWaz3JvBjc0KJGtvIBH91yfW1ZuuMpWAACfbM3MkxYGPbIFAFN9RwIAtg1PDtlK5/vpky2fDlEHMskou6pKFAQ1DL2hha+MlpTmYfrMClAKfPCeeXJsJnMtqTOkbMn5URu0c1wmA+nwpn6fO60wabrpskZVmU6oDUC6qbCJqsrS+UDa4c0iRxEcggMJmkBPNDtfVqlI1DJ+rc+o9tSaFwoh7uscwMiAedpl1c7UD42nvbbG119TNY6N8Fo+KdWs5rB/MB3ZevHFF7F48WIsXboUn332GebOnYuTTz4Z3d3sxf6FF17A7bffjqVLl2L9+vV46qmn8OKLL+LOO+/M8ciNYSx5Nz6FbHGStxVC0TLI3jABYFatJOuua+bnJYmigCPkyrJ33sp942XF0NSv04QaSOdsGVO2tK+NQra2DHchpmGToKDedygEiNgZ24G+aLPuGPc0lBA0rwm1Ap9dmTs8sqVPRmcrc6eJP3eAdJHF+++YoypxsteSerWtTT8SGiX8VY3lEG0iwiMR9HBIWa6RVtwM9LnTGPfUAkm50msqzK9INGGfO6EQIPnghTcFIqDcJd07rCKAArcbRXK1NItQVFcUSLlPGm1tAMCb50GxUtlnolCiQtS5ylYVn6jzCgiAdM6fVpgWQLrlE8cTLZcwHdl6+OGHcfnll+Piiy/G7Nmz8fjjj8Pj8eDpp59mnr9y5UoceeSROO+881BfX4+TTjoJ5557ru4T7GQgRZNqyxUjypbfLt2MWjlbAFATkMkWh1DMqpVCiesNbJjHnTAbAPDe8g05b0ythBHzdAxNAcDvkclEWF/ZGohEmA2XAaDCnY88uxsJmuQ6yQMSQVba92waelt3jHsaClF3G5k7NmXuaJPRmoD0PobmjoGcv6OOmwlA6pM4NKiRh5NDTPZaUlacB6fDhkQihQ5GWxsAsNltqGyQNmUzGVSqDakNhBE11YkCflNhQz0SVRNRc4SCACW8qR9K1LO3SDddZhi/2m2oLJXWL26PRBMa4xop+qivkVs6aVijpL229KpZjYQRLbKVhVgshk8//RQnnHCC+jNBEHDCCSfggw8+YL7miCOOwKeffqouiNu2bcM//vEPfPvb39b8nGg0iqGhoVF/cgFlswTGpmwNxTV6QCFNKJo5ytbsOmkx/8oA2TpgXh0Ki3wYHo7kvLmwUo2o5x4PAH45jDgUimjK7D6HQ/Xa0lL+CCGYlSctDusG9Z8OZ+R9AwCwcejfOQ37UEoRScrFFQZytozMndqAMne0e0Mqc2dDS7duknxdfTEappUhmUxhxdvrdcc4kTDDWiK1tTHiBm7CDXNOesNMafzelSTngaEwBoayybWSs7VtoJ9Z8VpppCJRTG+YlJH7NGlQQ1TaIfMKNa9IoyG16ielk7fFC0MbCNnlGgoB7O8axFCfhmlywAO/z4VUiqK5IzsfVGnZ0xcJoy+cPbfSOXGdSGlVh9umABAAOrldURSYimz19vYimUyirKxs1M/LysrQ2clWHc477zzcd999OOqoo2C329HQ0IDjjjuOK/0vW7YMgUBA/VNTU7NHv4cWlM3SIXi5jYQV+OVQ0HBCf8M0EkZs6RnAcIiffyKKAo75xiwAwPJ/faU7xj2JYTVny4iyJZGtRDKFSFw7/FeTp08oZgWkxWGDobytIyASBwbibeiJ5s5sMUGjSFLpCdCYKqrk+2nPnZo8qeKHR9TrywvhdtoRjsZ1k+QB4Bsn7QcAePvN3M6dXWGWtUSvrQ2AdD85E/W5K68vhd1hQywSR3cz26PP7XKgvESai6xE7tpAPhyCiEgiwfRzU8hIb7QXMc0S/koATgBxIGme62PEcFVRtrTayqSNX7V6JPLNP4GM9jibzKOKun1ulNZKHn1aHmCEEG6SvMduV62NWGHoEmcJ7MSGOE2gN8omo4Q4ADE3e7sRmIpsjQfLly/HAw88gEcffRSfffYZXnrpJbz66qu4//77NV9zxx13YHBwUP3T0pIbB16FbBkJAwHpMOJQTJ9sNXHIRIHPjcoi6TONhIOUUOLKdzdpul9PBMaSIO9x2iEKkj3EEMMYT0FaveGQUZlsGVG2HKIHU3yHAchtKFGZOwJssAsGyKgydwwQ9Y7hYUQTbMIqCgJmyhWtX+3gh1kB4LhvSnNn7epm9HSbp42IEUzEWqKX1wQYc2zPNUSbiMpGqcOCkabCLDJpEwTUc/K2AvY8eESP3NZGq6mwCNjqpf+YKW/LQKVbZk4az/hV0/6B0+xbgdIj0UyqKJBhuGqgInF7C5vM85LkBSKgzCXNT16SvPp7MgFMRbaKi4shiiK6ukaHu7q6ulBeXs58zV133YVFixbhsssuw/77748zzjgDDzzwAJYtW6YpfzudTuTl5Y36kwuoYSCDZCtPzrvhKVt1sh9JbyjErGpRMKfOeKLzrDnVKC3LQzgUw0cf5G6BU8OIBqwfCCHIk/O2hkLaeUl1+Yp6wwmVBSQpfvtIN7fxt4Lp/uMAAJuG3slZKDFz7uh5kAFAnky2hjUqWQGg2OOBx24HBd+LbM4YwtCl5QHsN7cGlAIr/j15oUSzrCVKGHEHx1lfUbbMlLMFGG0qLJuXalUkqk2F2SX8FfKG2RHmEHkT5m2lx9QCStkPpKXOUohERDQVRV8sWxVWctqaNIxfazlEVoHyO+rc3o1YDh+M9VCrzmleNSu/WlcvST7tZWZg7pgApiJbDocDBx10EN566y31Z6lUCm+99RYOP/xw5mtCoRAEYfTXEEUpRGemUmoACKsbZsDQ+cqGycu7CbhcyHdJpIOftyUtal816asTgkBwzDckhSKX4SBF2Qrk6ytbADLIljahUMhoE+falDrzUOz0I0lT2Dik7zY8xbcAdsGN4UQXOiO5IRThMaqieXbpGg7FtRPVCSHp68MwnlQwR547Rog6ABwrq1u5DkNnwixryVhK+Hvb+hBk5D5NFtTwJk/Z0gmTNuyBEn6IsmO7SfySAEj9EYkbQAJIsiMjNsGGUqdkncIKJSrGr4lUinn/Kde2t28EQY0HyqKKArh9LqSSKXRs1V/bc4XqGfrhTb0OC3pJ8ipR5+T8EaVxuAlgKrIFAIsXL8ZvfvMbPPfcc1i/fj2uuuoqBINBXHzxxQCACy64AHfccYd6/sKFC/HYY4/hD3/4A7Zv344333wTd911FxYuXKgulGZBJClt+IY3TIe0YQ5yNkwgTSh2DGjn1Mypl9WJHcY2zG/KuTer3tukKk4TjUG5gs1IzhYA5HklsjXICSMqyhbv2hBCVHXrq0H9kLJNcKJB9txaP/iGobHuLpS5Y1gVlYn6YIw/d5RQ4g4O2Zotz52NrT2IGzC7Peb4WRAEgg3r2tE2ib0SzbCWVFdIbW2CIXZbGwDwF/hQVCmF28xkbmqoIbW6YWr5JempE0YaUpvP/oEQAVA2cg4JrODYWxBCMFXpIclIkvd7XSjK9wLQVkYJIRm/J/Moo0bCmwqZ1LJGaeBcG8CYdYilbHFw9tln48EHH8Tdd9+NAw88EKtXr8Zrr72mJro2NzejoyN9cZcsWYKbb74ZS5YswezZs3HppZfi5JNPxhNPPDFZX0ETaXXCmLIVUNQJnQ2zXiUUnCTw2jIQAnT2D6N3UN8Ar3FGORqmlSEeT+Lfb3xpaLy7A0ophgak7xkwkLMFAAGFbI1ok8H6fNmlmpOXBKRDiUbytgBgVuAkAFJVYjw18Qa64TGGoJW5o0fUlevDI6PVxQHke12IJ5K6fRIBoLDIh4MWSIvca6+sNjTeiYAZ1hKH3ZbR1sZAj0QTkS3Fa4unbClh0s6eIURYJfxqGJHfVNhYCf9Wc0UrlI2cl7clFwHoJslr5W3V6Of8mbK/pkwAu3b0IKZhPK1njaKEWduH2cavaaLerj0vbFMlFdIEMB3ZAoBrr70WTU1NiEaj+PDDD7FgwQL12PLly/Hss8+q/7fZbFi6dCm2bNmCcDiM5uZmPPLII8iXCYiZEB6jOpEvK1sDe2DD9LocaKiQJu/a7cYac55y6oEAgNdfWWPo/N1BOBRDIiE93fgNKlsFPum8gaA22Spyu+FzOEDBJ6NzFGVrwNiCVeM5EHn2csRSIWwdft/Qa3YHY/HYAtJkK5SMIc4xa1WI+nbOtSGEYE69JNmvNZAkDwDfkufOG//4AsnE5DTuBsyxluj5UQHmbNujhBH7uwYx3M9W5QoCHgT8blDKztuaUlAAAmAwGkEvq4TfJX1GZ6ST2dYGgExqBIAOAil9sp8rEAPu9jxlC0hbHGjaP1SNZe7kptDLCPJLA/AXeEEpResm9nfXs0YpcLtR6JLW+G2Mva3cVQYCgmAyhKEEO+eUCAUQSl4b79fYozAl2dpboYYRbcaUrXy7JCEPxcPaXiKQFjSATyYAYP+p0o3/hUGy9Y2T5sBmE7BlUye2b9WvYtwdDMqqltNpg1vue6iHfIVsjWgrS4QQTDFARucEakBA0Bbuw86ovi8LIYKqbq0bfN3QeHcH4aT0u3XbjG38frsLAqREel4oMT13+LYO+ylky+DcOeyo6Qjke9DXO4JPcuzXZjYYqUismy1VbzVvMA/Z8vjdKJHHzg0HKWSSQbZcNrvqBchSb4qd/LY2AECIExBrpf9wrBZyDjVJntOQWkfZmsYxNgXSyhaPbBlxbM81RoU3OYpbbaVe2x5tY1yH4ECJnBPHVUZNAots5RCqsiUYVCdkZStJUxjiVJUpZGJbP3/DPGCK9BT5xTZjEzMv4MGCI6cBkBSKicRY87UAIN8nhREHOGFEIE0oeNfHZ3dhqk+yOFg7YOwJcVbeiQCAltDnGIoby4UbL8aqigpEUOdPf1w7bKzMnbahIW6Y9YCp8tzZaiwvxG4XVc+t11+deGXUzDCiTqgbpoYv0WShxkBTYaUiUbOqrFC7IlGvrY0KNZRoIrIl6oc3K9zSQ8pgfAjBRPZ9mFlAwDJ+NWL/oLj9t2xoR/L/s/fmUZJc9ZnodyMi972WzMrat973bnW3GsEIsGSx2MCAbcxgGDS2PNYIG6PnN4PsY+t4g5n3DHPes3nIFsbgXbaMWSU0WGOwwVLv3Wr1Vt1d+5K15lKZlXvm++PGjczuiuVm1hYp6junj466Myozo27E/eL7/X7fpzLVuFXo5jDrrUwk6g9YGEU+aRnHmgnbZKsKw8uvbujPXynQDdMpBbhebxUkuORA4XhOZ8OUycRiegWJrDYpOygrW9fGIshzXpQ//s6DAID//b9eR4GjObpexKOUbPkDLu5jAm6ZTBiQLZbRNmKg3hzw06fnKzG+3EOfNYxO5yEAZdyI/xPXMfUiXahtuAIA/FZ6LmM6ylaL0wmP1WZYZt3f1wZCgKnFBFfPHwA88u5DADZ3yMKMMApsBiqu27Nj80jrDHxsNnr2cESvGIzwM/VmWGsiUS4l6ubcmTKQuheACJRTQEn9YcshOtBkpfcfNfXFyPiVTezNzMWRzak/DAV7WmC1W5DP5hEZ2dgKRC2oNO7rRT7xhZlrNsnzxPaYBNtkqwoXlp7f0J+vlII4G+QBICBvmHrqhNtqRchFX6clRwNATzAAn8uObL6IoQm+3ofjpwbhD7iwtJjED/9l4wKGmbLFa/sAVHq2osv6PW2sL0LrZs9wUCZbr0XHuD/DHi8tJV6Nv4jSBsaJVCZZ+fuHAnIZOppT77cB5IkomYxqjecDNB5poJ26Ql8e5nuKHNgRQj8bsnhp44cszArWlxKNryCxrE46fS1e+FpoDJOZ/LZ4mq8rsTJaocJ86oRebE/Fsd08ZIs6lLPypk7fll37+0mCoPRNqp2fJj+NtSmXgYlp9YdFURQVYmOmUmJl7XAoWxrWKEYDBIrXlp51iEmwTbaqMJ8dwlxGO+tqLSiW88iVKGHi7dkCgIDVDQCIZrU3TKBCKO7olMoEgeBAH12cvBumxSLi3e89AgD45lfPcx1TD1jPVk1ky0Nfu6SxgTEMVF2wetNMTNm6npjSbSqvxg7vg7AJHiTyEYymznIdUw/SCtniXztM2Ypm9ZUoJcPOgIweYj1/nGVoAHjXe+ja+cY/nDPXJNkmwumwIigTKbW+JobuPcab02aDpx+oVyaTk5Goqvqt9N2saYRfLtnp9EdtCThsKSrfzyAjUcP4tZcjX9OMgdRsPU8OzaCoURWptkZZjGqXWcfiMdVqDI91iFmwTbbuwWvRb2zIz2VlIAKBK0iYoUkmW4s66gRgHP3AcEjuvblcy4b53iMQBILLF8YwNrIx00CxOsqIzV5GtlK6G3lfwC9PRGWxmNaJr3G1wGdxIlcqcJmbAoBFsGOf/x0AgNeiX+f+7LWgXC5hpVBbgzwANNvo2lkyWDv9Bk+PDIcG2Nrhf4p8+B0H4HRaMTG+iAtnR7iPe6OB9d6MczjJ61ktbDa6ZbI1N76AFY2HmmCLFw67BYVCCVOR1aVoZk45k0xiObvanDNs14+1AaAYm6K0iHJJfxBoU6EEUhtnJGoRAr1YGqDGQGoTDViEelthc1iRz+Yxo1HetFokhEPyRLRKvmbY7YHLYqHGryopIMzYNJaPY6VgHkNgNWyTrXswlPhnZIt8PSm1oLqESAj/aW9iG6aBsmV0wTIcGpCVrTs63iT3IBjy4dSbdwIAvvW1C1zH1Iqo/FTjr0HZapLJVjZfRFLDywW4eyJKy1wRoE+RrJR4uYZS4gH/TwIgGEudRTy3/nJ2uphACVRpc0lN3MfxEvVBgyZUBkbUr43NIqsT/l0Np8uGH38X7d3aSGXU7KhM7BmP8Jtpw/Q2edDUJqcMaKhbgkB0hwC8NjtanfQhSk09bbOHIEBAppRBNK9OpIjgAgR679LztdpsEIkOEKGgXRGp9oNSw4BOpBFQlT+pQ9SZsjVhImVLEATlc41d1R466tMxxqVtDtr3J6fkhN9C16deGdoM2CZbVQhYOpEvZzYkYHhFJlu8zfEMzWzDNLAjMMqRYtjX2wZJEDAXSyISNbY4YHj3+44CAP7pO1c2JJx6cZ5+lqYWN/cxDqsFLju1iVgyiDkxmmphOBjoAQC8FuMnW35rO3pcxwAAr8de4D6OF6kC/Z06RD9EYuE+rtlGFVRjos7KPOoTUQydLT40e50oFEvc0T0A8BPvp+fmlR8MNVw49XpBibXRUSc6mbJlop4toKJu6QdSc/ZtqZAtSZCUEX79JnljE9FNR9WUpNbDK2viXsgtIltcrexVX39qP4Nn7VS7/ZupXN/NU4Y2sLfgLUPrrh0TYJtsVWG37Jt0KfpVlHV8repBqkBvMk6xRrIlb5hG6sSOZnpBjsfjuiP8DqsFu7roje3Sbf6b+rET/Qi1+ZBczmyIo/ziAiVbLa38JVagUkpcSOirkTt0xs+rcUgmW5ejYzXdtPb7fwIAcDX+HRRKxmHWtSBZoP5DLqm5puNYGXHBgKh3+3ywinQiaiqhTYYIIYq6dekO/xN0T28LDh7pRqlUxovfuMh93BsJRmQEqIzKTw3NmGqEv2uncXnTKLZHz/4B4GuSZ2TLXBOJ/QCIbLiq/t08Fg88Er0W1b5fv2z8GstkVNscmLXGxEwURZVYGwDo2BGGIBCsJNJYnNGfut5M9Mr+cXqGq0bWKEYDFnoDCGbCNtmqwh7fw7AKTizlxjGaOrOuPzuZp71ObktrTce1MLJlsGG2Ol3w2mwolcuGflus96aWDVMQCN77U/cBAP7+r19FqbS+T08L84xs8VsbAECLj5YnjOwI2NPRrUV9srXH2wELEbGUS2JyhT/Xr899P9xSK9LFGG4kvst9HA9SMtlySy01HdfMuXYkQVD8toYMzs/hQUoILnH6bTG8+71UGf3W1y5siDJqdvQosTZxze8f7GmBxWZBPlfA7Kh5nNKZaqIbKqxsmOrXjJF5J/OjmklrJxQQxUTUPL1/hNgBkZ4fvc/FSolq3+9u49fV119bqxdWi4hcvojIvPrDkNVmQVs/9Ssz0zQrT+RTJZLIKJB6DQMWJsA22aqCTXRhv//dAIALS3+/rj87WZDJVp0bppE6QQhRbmg3F9WdmBmO7qAXwPlbtfWGvOu9R+F02TAxtojT/7Z+U5vplRxSSSqv16pstXj5yNbOZnpujMiETbRgr5+enwtR/pu6SCQcafoAAOD84t+tqzKazMtkq0ai3mqjxHUxu4yiwefZIZ+fW0v6a+cII+q3p2si3P/u7XsQavMhupTacINcMyLgc8Irj/CP64zwd+ygpMNMTfJdXOaU8gDA1KLquqiECmt5belP7AHgCn7eEiifi8f+QWsiUfv8iKKALgOndaAyYGGmicTq0rhWpYC5yEfjK4irDGEYtTlslxEbFIcD7weBgMmVy5jPrJ9cvawoW7WRrYqylTQsa+1spj/bSL05KqsTwzNLhh5V1XC5bPgJuXfrq8+tn/I3J/fxOF02OF22mo5VlC2DMiK7YBfTK1hc0f/ORwP05nlxqbYn6P3+d8MmuBHLT2EkebqmY/WwXCdRD1hdEEBQQhlRHVNcoEJGjdbOrq4gnDYLltNZ3J7WJ2bVkCQRH/hZmkv41edOr7syanYQQrimyswYvdK9W1Zl7kRQ0BiMaA/5IIoCMtkC5hZXPxiyUOGJeAw5vRF+jjIiihMol9e3VL8mKIar2vcLI+Wu4ieln5Go27e1S1Ygb5qHbLUPhCBKIjKpLBY0bE+qrVHUzE27fX5YBAHpQgEzy6vXFptInM8uIF8yr2q+TbbugcfSikHPWwAAl6L/uG4/d7lAR1+9Um0J5KzvplAuIm4QSL2rhW7GQwbKlt/twGA7vflduFXbhfneD9wHQSS4dH4Ud26tT0TNvJz4HgzVVkIEgFYfPT/zMf2eNpfVim4flepvGfRtHW2qj2xZBQf2+99Fj43+Q03H6oGpoh6pNmVLEkRlmnUho9+YvquZrR39cyOJglKGPj9UGyF4x08chttjx+T4El794cb42ZkZRk7rQCUjcUzHRHSz0dLZDLvLhkK+qOlQLkkiOuWpRbVA6qDLBbfVimK5rJrDydSJeD6OlNYIvxACiBtAESiM1vVdNgKV8qa24maUkVjx2jLISNTxaVPKvSYqI0oWCe0DdM/THbCQyaSaNQo1fqVtDmo9f36LHw7RgRJKmM1sbGzaWrBNtlRwOPB+AMDNxMtKCWctKJfLWJaz8zyWYE3HWgRJcZGfM9ww+cqIQKWUeOF2bTf1YJsPb3nrHgDAPzy3PurN3Cz9Xq31kC2/fG5ixnYdTPm7uaB/fg74uyESATOZGGbStTWbHgq8T1ZGL2E+sz7ljuU6+/0AoEUuJc4blKEVVXRpEYWSfsnxvp31laEdTqvSu/WP67R2Ggm9HMoWy7nTG5XfbAiCwFWi0lPuCCGKuqVGKO6OtVEnC4QQgMNqYdOhTEkaG5tGMrMoqiRNVKx71NeGsnZUvKiU1+xj+ZrmWTsAXxmaDQFoWaPoTbMSQhQyO2XiUuI22VJB2LEX7Y4DKJbzOLv4N2v+edlSErkSfVrzWGpTtoBK78181oBsycrWZCKhah5YjaM76AVwvkZlCwB+6kO0HPTyS1cwOcHfRK6FuQhVtkJt/O7oDEE/n7IFVNQbIzLqlGzY46Xn50KN6pbHElSU0dMLf17TsWqoJureOtZO0C6vnUxc93VdPh+cFgtyxSLGdDISgWqiXvuY+Xs+cIwqoxfGcO2KedSbzQDXRGJVGdFUI/wcGYlKqUtDfRkwIBRcU2VKyc6EgdTFKZTL6rmWTdYmWAUriuUi5jOrhx8YmZhJJpHMrS6RGsXaAJXf0cLUElKc+aWbAYWo606z6qu+St+W4TSreVS9e7FNtlRACMGplv8IALgaf2HN6hbbLB2iHxbBXvPxQTslIXMGG6bf7kCbm5IPo3LQMXnDvDU1j0SNwbe793bg/gd2oFQs46+/8oOajlXDLCNbofrJ1lzcuKeNkdEbC8aTXkfkc3QEPgAAIABJREFUUmKtZAsATrZ8BADBneQPMJ9Z26aQLsZRKFPi7K6xjAhUiPqcAVEXqgYsjM7P3p4Q7FYJsWQad6b119m9CIZ8isnpV774/ZqObSQspVeXwoxibQCgY7BN6XGZn1i7qr5eYP1AeuVNo74ipt5olfGNYm2A6oxEE5EtoQkgPgBlQKNvSyCC0lukRib9dgeaHdTGRs2Y2ijWBgDcfhea26k6aKqeP2UiUfszdRtMs/brKFtA9bTntrLVcOh0HUbYsQ/Fcn7N/TfxPF0AXktbXcczdWLWgGwBFfXGaMNs9rrQGwqgXAYu3q5d3fq5R6l68/JLVxCZWVt8Bju+rZ0/ioahVSZb6Wweyyv6at7ulkoZUc+8E6j0bdVDtpptvdjpeRAAcHbxr2s+vhqJPG2odUnNkARrzcfzEnUA2NNKydx1g7VjEUXFb6vWUiIAfPhjb4YoCrhwduQNq27dVnnYCbZ4YbdJKBRKmJ5V/31IFkmZSBwz0VRZN0+osJE5pVxGHNYMFebYMBnZMlFGIi1v1pKRqP79duioN9WxNjwDFmaaSOTJbWRlUi1rlB1vAPuHbbKlg+PNHwIAXIl9C5kiv9v6vUjk6Ibpq5Nshez0IptN82+Y1+aN1Zt6LSAAYNfedhw93odSsYy/+6tXaj6+GpHp+smWw2qB30XVQiNH/D5/AHZJQrpQwKhBqexQoAcCCKbSS5hN104mjzf/BwDAreV/xVJ2vObjGdZSQgSAkEy2IhzfYXeLTLY41s4xuW/r3FDt/SFtYT8eftdBAMBffvlfaz6+EaCmTggCQbfcmzKil3PHlABTbpiTKGn09DFlK5ZIq47wV8qIURRVfgZX341CasZQLpto8kwpbxrbP0xpBlLrm3eyUptuRuIe802zsp6tpUgMSY3e2oDPCY+ONUp/oAkEQDSTUZ0mb7dToh7JRFBaZ0Py9cI22dJBr+skmm19yJfSOLeG3q1Ynl5cPmt7XceHHZSERDLGG+YeecPkKZWxUuK5GqfKGD700QcAAC9967LSd1Urstm8Ymgabq/NXZ+hrYkqf0ZkSxQExeLA6Py4JTt2eenv62J0tObP1GLvR7/7TQDKa1K3lLVjqW/ttMlrh0cVrWftXLhVXzzIhz7yJggCwdlX7uD2kLaRZaNCbeIOqGyYahN7DN1V0StmQcdgGyQLK2+qb/YOuxUheYRfjRB0eWlSQbZYwLTKCD9TJxY1Ym0A0HxE4gCQB4rmaQTnKW8qflAaPWlGTfKsiVyrJw4wZ76my+tEK/Nh0yhDE0KUMrva2nFYLOjw0vu82oNMi60ZFmJBvlzAfNY8hsDV2CZbOiCE4IHWnwdAbSCYQlUrWDhxvRtmLerE3lY67XhjYV716bEabKrs5uQcYsnVT6JGOHS0B4eO9iCXK+CLX/jfNR8PADNTcmakywavz1HXzwg30Rv8zKJx7h47P1fn1EfYq3GsmU4ZnV2sr2TB1K0biX/CbPpmXT+jsnbCdR3fZq+QLaMnPlZmnUkmsaQSG1KNfT0h2C0Sosk0hmdq69sCgPbOJjz4Y3sBAH/8h/9kqmbw9cCwBtlSpq441AkzbZiSRUKnHNszqjPtppQSVQiZWJVUcFuFUHgkD1yiC2WUEdEY4SdEAETj6b9Nh0K2tKckO6rKpGrrfUBnWhOodlrXWzvGJbutACtDj141zkjU+n56+b8CERQvM7OWErfJlgF6XSfR6TyCYjmP04t/UdfPiOboAvNbO+o6vt1Bb1CzmbihE3iv3w8HZ6ms1e9GX1sTyuX6SomEEPzSLz8MAPjn716ty3drWm6I7OgM0N6HOhBupk88M0vGZIupN9fmjcnW8SZaGji7eKcuMtDm2I3d3ocAAD+c/2LNxwNAfI2qaNDuhQCCXKmAJQNjU4/Nhh7Zi8zo/FgtEg4P0s905kZ9CsN/+qW3wWIVcen8KM68YqKNcx2gFZnFo2x17WZZhOaarFL6tvRChQ3Ul0r0isYIP1dGIislmshJXuklG9c0XA3aghCJiEwpi6Xc6vXBzs24hvFrZWLPWNmaHZ1HNq3fw7qZUNRa3QELvrWj1SRv9ozEbbJlAEII3tT6KADgevy7iGZr21gKpaxiaBqwdtX1GVrsXohEQKFcNIztEQVB6b25ykEoTuzuBlD/hjm4qw1vfYgqFH/2x/9c8/HMOqKzu7aQ5Wq0M7LFoWztC1Jli6en7XCgFxIREcnEMJWuz+LiVMvHIBILJlYuYix1vubjYzn6hBqwdtb1/pIgKk3yPJ5hTPnjIaMndslr52Z9PWltYT/+/U+fAAB88f97WTNktxExv5JCQsV+pbvKHkGLwLNR+dhcHIml+ntF1xuVUGFjdULLD4qpE0YTiXpN8kQJpDYR2RLaZMPVAlAYU32JJEgI2uj1pWZREHK54bZoG7+yWJvFWArLGhPk/lYvPAEXyuUyJofMQzqYf5wu2TLoSTNy2Td7bM822eJA2LEXfa77UUYJP5h/tqZjqapVhk3wwCHWbm0AACIRlL6tKY5w5EqpzFhpOrGLXgRn69wwAeA/PvZWCCLB6X+7jSuXavs5E2N0vL2zq6nu929vpud1csG4L2l3SysEQjC/ksJcSt+byyFZsd8vn586S4leaxsO+H8SAPDK/J/VlJmYK6WRlEOo61VFAdS0dvYFaSP+6xxl1hO76bk5PzSJQp1E6Wc/8iZ4PHaMDs/j+y9fq+tnmBVqm0JnGx3hX0nnML+kvv4cbofS42ImdUtR3HTiYIyMWw1Dhbm8tphju3nU0LsmEovafVsdOlNzhBDdJnmX04bWJjp9raVuEULQtceEE4lKGVH7ob6PrfmZqOr9xMhl3+wTidtkixMPBH8BAkQMJ/8Nt5f5vaWWcvQpp8nWXXeZDAA6HPQinObYMPfL6s1VDvXmvp2dEAjB6GwUcxzGoGro7GrCO959GADwP//Ht5HLqeenqWF8lN50e/pq95Bi6GihZGuKg2w5LRbFQJCnb+t4M72BnquTbAHAfc0/CwuxYzZzA1di3+I+LpqjNyaH6IddrN1dn6HDSb8vjzq3P8ivbO3qCsLjsCGZyeH6eH0xGR6vAx/40P0AgD/5o5eRXK7N883MUCt3WCwi2uVYG92cu92VAF+zoDpUWAtsInFucRkr6dXlNGXDjKore2FFndDpj1V6tkbM1etX9bm0oGRAahCCSuiy+tqoKKM6fVvy72nSRGuHWVLMTyxiRWVSFaDWKA67hVqjRFa3wDCiPpNcRkrF+DVcFYlkqnUhY5tscaLZ1otjzR8EAHx/9vMolPjq4UtZmWxZu9f0/u3yhjnJsWGyUtnVuVnDRedx2rG7m76+3nIQAPzCf3k7Ak0uTIwt4vm/eZXrmGKhhNFhuql399YWslyNDrmMmFjJchm0svPDo97c10RvoOeWhuseKXZJTXiTPGjxw/kvIlXgiwCKpKnS02obqOt9GRhR51K2ZFV0JBpVdbKuhigIuE9WRustQwM0kaCzuwmLC8v402fqG7QwI7TUG6O+JgBKM7pentxmg32m5aUkYvPqDzZejwMBHzXnVOtL6/P7QQAkslksqI3wy2RrVm+EX+oFIADlZaBkHuNXIlFvPr3yZkW507B/CBjZP7AmcuOMRDMNWHgCbviD9KFYi6xTaxT6/dWsUYyMX0P2EAgIVoppxPP1TcdvJLbJVg040fxheKQgkoV5XFh6nuuYSPoGAKDVvrYNs8tJL7LJFePJr53NLbCKIuLZLCYSxovuuFJKrH/D9Hgd+M+/TJvB//Yv/g2LC8a9JreGZrCykoPbY18T2XLarWjx0otwcsF4YpMRitc5yqz7/V2wixZEcykMJ43JmRYOBd6LoH0ncqUV/Nv8n3IdM5G6BADocB6q+30BoFNZO8Zkq9npRNjtRhmcQwTrUIa22Sz41f/2bgDAt792AbdumrMMUCsMQ4UbbCLR7rQh1EMVaD3VRC+2xy5Z0O2jyp7aVFmz1XiEnxArIMo9jGbq21IyErU/k5FyZ1Rm7TaIRALMGUgNVNRanrWjNUCiN2BhFSxotdH1OZMxn53MNtmqAZJgUxSKM4t/ifmMfmkpX0pjKv0aAKDLeWRN7802zImUMdmyiqLiJH9l1phQKBvmjYk1ya9ve3g/du/rQHolhz/8g+8Y/qwLZ6ncfuhID0RxbUuxs5XewMfnjMnWgRDtS7rCQbYsgoTDgV4A9fdtAXRk/a2hjwMArsVfwtTKFd3Xl8pFTK1cBgB0uQ7X/b70eH6iDlTOz2sca4f1/F0enkY2z18+vheHjvTgbQ/vQ7kM/NFnX3pDNMurPX0DlQ1FP1SYBVKbh2wBfNYCeoHUgH6ocPUIv5b5JwCu/qhNh9JLpl3eZJE9y4VlJPOr2zZYmXU4FlVNuejjCDNnZGtqaEbTgHYr0MWh1hpZo1TK0PVHPm0VtslWjdjlfTv6XPejWM7jO9Of1i0njqXOoVjOw2tpQ2CNZUSmbI2vLHARoloIxZGBDkiigEh0GRPz9UfvCALBJ37tnbBYRPzwX27im1/Vn7579QfUk+bYif6635OhO0jtMXjI1r7WIAiASDKJ+ZRxYOt9VRYQa0HYsRd7fY8AKOM707+PlYL2Z42kbyBTWoZVcCFo37mm92VEfSG7jJWCcfn7QJBuCFdmjZ8O+9qa0OJzIZsv4rXhtSlSv/jxH4PdYcG11yfxN+uQubnVmEjEkS2sJqBGTeQA0LOPKjeRkTlkDGKoNhMsI1HPcJVXnRjWyrmz6/c1AVCsFswVSN0NQATKKaCkft+1iTY0W+X+W5UhgG6vD1ZBRKZQwFRi9XQ1I7Izc+qxNgAQ7gvCYpWQWclidsw8Bp9KeVNnwMJw7QS0lS2gqkxrwib5bbJVIwgheCj8a3CKASzlxnT9k1gj/YD7zWtqjgeATmcTCAhShSyiBn5JAHAgyNQJ4w3TYbPg8AC9wb16vf5yEECtIH7hv7wdAPDMH34XI3fUS1FLi0ncuEYvulNv2bGm9wSAHjk3bGzWuB/KZbUqjag854c1yV9YGka+VL96AwAPhj6OgLULycIC/tfM/6VJnEeSNAKp13UCIpHW9J5eiwMBqwsAMJ4y7nE5WIOyRQhRlNHTN9a2dlpavXjyUz8BAPj7v+br+zMrPFYrSuUyRtRG+A1ibQDA3+qDt9mDcrlsqr6tLg53+x6DJu7KVFn9OXdE8doyD9mi5U35oZojtkft+4mCgN6AtvFrk5/G2pRKZYzPqN/rRElUhhnMpIzyxFAx+wctaxRlWlND2Qo79HvithLbZKsOOCU/Hg7/nwCAS9Gv4WZidVNvtpjCneUfAgB2eP/dmt/TJloUJ/kJjnLQwRBVJ16fmzMMXQaAk7t7AACnr6t7xNSCf/8zJ3Di1CDyuSL+++98HYnE6g3le/90FeUysHtfB1pa65+0Y6goW3zN57UQil3eMPwWJ1aKObweW1tEiFVw4F3tvwmRWDCWOoPL0a+tek25XMat5e8DAPo9p9b0fgzdTlpWHuMgW0wVHYvHEM8YDxzcL3u1rcfaedvD+/CeD9y35p+z1eiXndLVnsCdDv1YGwYzhwpP6PolsRH+GAqF1eachuoEl7Gp/IBmJhd5oKZAas3YHp3zUx1ro9ck37PP2BNts8F6tqZuzaCosi6Au61RFlSsUViY+VhM3fi1w2DacyuxTbbqRK/7BA753wugjJem/ztuJf7lrn+/tfw9FMoZBKzdaLPvWZf37HbRDXOCY8Pc0dwMhyQhmctpyvXVuH8P3TDP3pyo2zOJgRCCT37qXfD7nRi+NYv/+st/uYpwvfRt2o/04+88uKb3YuipKiPylFkZGeVRtgQi4EQzLVucWVz7k3SLvR+nWj4GAPj+3OdXDVtMp68gnp+BRXDI+Yprh7J2VozXjt/uUJzkec7P/XsoUb82Pos4xzSoER574sdw6i1rK51uNfoC+k/gPRxTZZVQYfNkADICGBmdR1rjdx1q8cBht6BYLGFKZYSfKVuRVFLV+LVdibWZ1r6Wmc1CaQHlEt8D1qaAI5DaSLmreG3pr53RCe1ruYetnevmWTuhnlbYHFbkcwXMjKhXPCwWER1t9F4+qnJttLkrxq9jKgkprCculo8jVVg97bqV2CZba8CDoSew1/cIyijhpZnP4PXYiyiWC5hauYJX5r8MANjne8eaS4gM3XKj82jKuA4vCYJiUHkpYrxh7u4OwueyI5nJ4ero2ic5Wlq9+L//6CMINLlw59Ysfuu/PoexkXlks3n8v3/wIoZvz8FiEfGg7D6/VnQF/SAEWE5nsbRsfJEdaqMX5eXZCBc5O9FCydbphfUpWxxt+hkca6JWIv869wzOL/4d8qUMIukbeHH69wEAg+43wyLY1+X9GNniWTtAhYzyrJ1WvxsD4WaUy8CZNZYSAcBut+BTT79vzT9nK9HPSkFa9g8K2eLIuTNRGdHX4oVfVqK1ypuEVEb4R1V6b7w2G4IuWtZWexAMGcTaAAARXIAgR1iZSN3iKW/qlRGBaq8tjQGLTu1zy6CsHRMpW4IgKOVNHid5tTI0IQT9OqVEp+REwEKvvRmTNclvk601gBABP9b2JPrdp1As5/Fy5LP40u0P4fnxT2KlGIVbasE+/zvW7f16XHSslacUBACHGaHg2DBFQVB6b9bit1WN3v5W/I//58Nwumy4+tokfuHDf4yfe/8fKY3zH370LfB66wufvhc2i4T2JroJjHL0be1uaYVVFBHLZAwzJAHgpKxsXYtPYjlfe2j3vSCE4M3BxxTC9YP5P8EXb38Qz49/EqnCIgLWbtzf+rE1vw9Dr7x2eHq2AOBwG90QLnMoWwBwUlZGX72x9lLiGwG9LHBZo1SmTCTqmVOa0AkcALo4JhIVL7E6QoVprA1dr7q9Nxwlu02HMiWpp2xRwrGYW0S2uFrZG6zy2lJ7EDQ6t8DdJWgzGXxyTbOya8MwtmcNZegtwDbZWiMEIuKd7b+JN7f+IhyiHyvFKACC/b534T/0/vGanL/vRZ+L+kONpvj8niobJt+iYzmJa22Sr0bfQBD/8wsfxZvfuhuEALFoCk3Nbvz+Z38WH/7Ym9ftfQCgt002xIsYl02toqj4bfGcn5DDjx5XC0oo49zS+nn7PND683hL8JfgtbQhV0qhWM6j3/0mfLDnD+G1hNbtfRjZGk3Nc5mzKspfhM+NmZUST6/j2mlk9PvltRiLoqgyfs9jTsk2punbERTWYKux3lBKVDqqiWHOnVGoME/OHUfJbtOhlDeXUC6pfzevxQO35EYZZVU/qL5AAARAPJvBQnq1Ss/OrVasDQC0D7ZBlESkkxnM65CyzUbPHp6MRCP7B/r9jfI1zda3tbYxp20AACTBimPNP4ODgffg9vK/otnWi6B97RN296LXLRsKriwhVyrAKuj/+g7JpaAbCwtI5/NwWCy6rz8pk60rIzNIZ/Nw2PRfz4v+wRCe/vRPYXpyCRfPjeLNb90Nn9+5Lj+7Gn1tTfjh1VGMzPDdXA61teFiZAaXIhG8b7dxOfNE8yDGUgs4t3gHbwvtW+vHBUDV0aNNP4UjgfdjYuUiMsUEdngeBCHr+xzU4WyCRERkinnMZuIIOwK6r9/XGoRFELCYTmMykUCXTz/X8+ggtQ+ZXkxgcj6m+J79qKLD64VNlJAtFjCRiCtKFwPbMCPzCWSyedhVrrXWzmbYXTZkUllM35lF9+768zHXEz1KILV2P1DF3kKdcAwYhQrbw7iAi5jWMackUj/KgKmULSK4UBY6gNIU/VxW9czXdkcYQ8u3MJ2eQa+r565/s0sWdHl9GE/EcWdpCa1O113/3tbqg80qIZsrYGY2jq721deyxWpB+0AIEzenMXFjCsGu+k2j1xMsI1GPqPcZPIiwJnmttVOJ7TGXsakpla3Pf/7z6O3thd1ux8mTJ3HmzBnd18diMTzxxBMIh8Ow2WzYuXMnXnjhhU36tBVYBDv2+B7eEKIFAK02L9ySHcVyiasc1O7xIOhyoVAqcfltdbb40N7sRaFYwoVb61/rb+9swrvfd3RDiBYA9LfLF+E0H9k6Iit/F2f4noCOr2OT/L0gREC36xh2et+27kQLACRBVHr+eJzwbZKEPa2U3F+MGJ8fp92Kg/30fL66Dn1b64WtupeIgqD0bamVO/xeJ/xyCV3LU4gQUrFa0FECNhvMA2xMJ1SYueSPTS6iVFqtjA5yhgrzKFumcpEHAAu9T6BwS/MlHYqXmEZsj449RnWsjW5GIkfJbrNRKW9Oahqusu8Wja+oWqMwZUvL+NWsypbpyNZzzz2HJ598Ek8//TQuXLiAQ4cO4ZFHHsGcRo5dLpfDww8/jNHRUTz//PO4efMmnn32WXR0mOMpcD1BCEG/m5a+7izzeSCxUuIljg2TEKKoW6+swxj/ZmMgLJMJTmXrSJiem+sL88gU1A0Cq3GsqQ8CCMZSC5hN12/+ulXod9Oy5HCSLzT6SA1rBwBO7KJrZz2a5NcDW30vYZuCVqOzXhO58hqZbJkxVDgyMoechrFme8gPiyQimytgdmG1OScrI2oZvzJjUy17BAAVslWaRrm89j7KdYNsS6FnuGrUVzRosHaM+poAoGu37GtlogGLjsE2SBYRmVQW8xoJCk6HFUEda5Run18xfp1eXr222Lmdz84jVzK+r28WTEe2Pve5z+Gxxx7Do48+ir179+KZZ56B0+nEl770JdXXf+lLX8LS0hK+9rWv4YEHHkBvby8efPBBHDqknSeXzWaRSCTu+tMoGPDQ0uCdJJ9EyjbMC5zqzam9VNJ+5Vrjka1+mWwtJFYQTRrffDs8XrQ4nVT5mzVWezwWB/b66A3s1Q1QtzYaAzLZ4iHqAHAkTDe8CzN8Gz0j6mdujKv2KW02tvpewsodmvYPzC1bZ8Nk4c96rtubjUDID6fXgVKpjOnb6vchSRSU8pbahtnqdMFjtWkav7Y56FqN5xNIFTRMnEkAIH4AZaAwWtd32QgQ0Tgjsd1hoGwF9O0fWJlWSxUFKkR9wkRrp9pwdVRPGdUpJUqCgF4/y9dUmXaVvHCKTpRRRsREpURTka1cLofz58/joYceUv5OEAQ89NBDeOWVV1SP+cY3voFTp07hiSeeQCgUwv79+/HpT38aRRXDM4bPfOYz8Pl8yp+urq51/y4bhUF5w7y1zEm2woxs6XjWVOHErm4IhGAksoTZqHGYtJngslvR0UwHEm5PGZdZCSE4Kp+fixE+QnF/C31qPb2gXSIwKxhRv825dti5uTbPp/zt622Dx2FDYiWLa2N8hG6jYIZ7iV5oLlCVA8cTKnzDPMoWIUTZyPXKm9065puEEN3z4xAdaLJSsqZVDiKEcIU/bzo4PhNTX2YzcyiopFIo9g9aa0cZQNBbO8xmwTxkC+CbsmV9WyMaXmJ6ZVZCCF8ZepNhKrK1sLCAYrGIUOjuKaxQKISIhn3B8PAwnn/+eRSLRbzwwgv4zd/8TXz2s5/F7/3e72m+z1NPPYV4PK78mZgwj/GbEQZr3DAPhkKQBAELKyuY5FDwvC479vbQ87+eU4mbhR2dtM/o1hSfn9SxMN00eJU/RrbOLN5GkWOqz0zYIa+dkeQcCiVtAsHQ4fEqPX88TvuSKODEbko2Xt3iMrQZ7iUDVX1JqiP8XRxeW7sr4b1mGuFXSKBOebMS26PRJG8UvWLncZLvo/8tjuh+3k0F+0ylCMoldVUuYAnALthQQglz2dWqOlO2IqkkllWMX6szBLXWRZesIC1FYkglzGPwyT7XpF5GIlPupvXzNbXKrMzc1Ez2D6YiW/WgVCohGAziT/7kT3Ds2DF88IMfxG/8xm/gmWee0TzGZrPB6/Xe9adRsMPDnojiiOeMLyC7ZFEsDs5zloPYGP9Wb5j1YKdMtm5O8pEtpvydn+ZT/vb6OuGSbEjk07iZMI/awIOwww+XZEO+XOQyNyWEVJWhOUuJexq3DL3e95Jenx8CIVjOZTGnEnjOYlcmZqKqsTYA0LGzHYIoIBVfwaLGxrMVYIHUev1Aiku+RhN3ZarMwC9Jx5ySlezMZP9AhAAgyFOIGiSQEFLJ8VNRX3x2uzKFqGb82hkOQBAIkitZLEbVCZ3L50JTGy23malvS1k7PETdYJpVO1+TpRBsky1VtLS0QBRFzN7zFD07O4s22ffnXoTDYezcuROiKCp/t2fPHkQiEeRyuQ39vFsBt8WODgddaEPLfAvpaK29N3sqvTdqk0Rmxi5Gtib4yNaBYAhWUcRiegXj8bjh6yVBxLEmeoM/s05u8psFgQgKWR9K8K2dY+1s7XAqf3Lf1usjEaQyW3f9meFeYpMkdHmpZYaaehNs8cJht6BQKGF6Vn3tWW0WdAzSz2vGnDuuQGqtDdPAa4trw5TY5J/JrkWlb0tbcWPqi5ZFgZ4XmdUioT1EiZR+k7z5JhLZ2tEjW6wEPbtArVHuRbXLvtpDcruBS/9WwFRky2q14tixY3j55ZeVvyuVSnj55Zdx6pR6IO8DDzyA27dv3zVGOjQ0hHA4DKvVuuGfeSuww0sv0lo3zPPTfGTrYF8YDpsF0WQat6f5HMfNgl1dVMUbnl5EjsMI0iZJ2B+sTfljbvKnG7BJfpeX3oRucKpyx6qIOo/y19nqR2eLD4VSCeeGtq48b5Z7iV5fUvUIv1ZvClDlTXTVPGSL9d1M3JjSHuGXG+Tjy2lE46tVeKZsDUeXVAcq2IY5xUW2hlEum8f4lS8jcW1N8n0G5p9AZXJUz6Zjs8HKiLG5OBJL6n3BAZ8TPo8D5bL6EEC/bPway6gbvzLVMJKJcJk4bwZMRbYA4Mknn8Szzz6Lr3zlK7h+/Toef/xxpFIpPProowCAj370o3jqqaeU1z/++ONYWlrCJz7xCQwNDeHb3/42Pv3pT+OJJ57Yqq+w4djJ1AlOZes+mWzdXFxQrf/fC4sk4uggfSIyyxgFXePkAAAgAElEQVQ/L8JNHnidNhRKJQxzOMkDFUJxfprv6Y+FUl+JjSNTNM9oMQ92eenvdYiTbO0LhmATRSyl06pTY2qoKKNbe4M3w71kwCDnTole0WmS79lT8SYyC9oHQhAlOsK/oPHZHXYr2uQcRbUNs9PrhVUUkSsWVftJjWJtAABiB0AcAPJA0TyEgnA0yRsrW7xN8npkS3ZsN1EZ0eF2oFUminqDH5WMxNXf3y5Z0CmrxsMq56fV1gILsSBfLmAhaw7BwHRk64Mf/CD+4A/+AL/1W7+Fw4cP49KlS/jOd76jNLqOj49jpqqk0dXVhZdeeglnz57FwYMH8Su/8iv4xCc+gU996lNb9RU2HLu89CbEu2EGXW50eX0olcv8nklyOeh0g5EtQgh2dlKl6sYEX6zRsXZKQHiVrW5XC4I2L3KlAl6LNlZvUjVR51GqrKKohFKfneIko7Lf1tl1ytisF2a4l+zQmZoCqpvkdcgWUydMRLYki4SOHcblTT1CQI1ftZvkvRYPPHKsjdYIPyECIBqHP286uDISK6UutWvRqMzKE/nE1o6ezcJWoJKvqbN2jPI1dc6PQASEHTKZTZvD/sF0ZAsAPv7xj2NsbAzZbBanT5/GyZMnlX/73ve+hy9/+ct3vf7UqVN49dVXkclkcOfOHfz6r//6XX0XbzQwsjWamkemyNdLwkqJ5zhLiaxJ/vytSa5ynJmwu4v2bd0Y5yRbsrI1tLiIeCZj+HpCyIa6yW8k+t1BWIiIZCGDqTSn8sfK0Jxk9PiuLhAC3J5exEJcwyNpk7DV9xIlNNfInLIBA6mVUiJPILWG+mUUKqzXRK5AUZHM0yRfcbcf1SxvBm1BiEREtpTFUm61aszKrOPxmKrxa6/BAAJQKUHPjs4js2Jc1dgsKB5gOopbLyPqhmtHK/KJ3rci2a21oWEwJdnahj5abV40Wd0olksYSvCx9vtk9eYcZ6lssL0ZLV4nMrkCLg+bp8mQB3u6qXJxnZNsNTud6JOz67j7tloas29LEkTFPuR6nG8t1Lp2/G4HdsnqYqMpo+sNptzMpVJIZFcT+WpzSq1hlM5d7SCEILG4jNi88RDHZoGnvMkbKqxl/8A2zKmMzkSi0h9lomtRCFeVN9WvAUmQELTR62Ra5fsFXS64rVaUymWMxlcnVrB+v6XYChIqsTYA4G/1wtvsQblcNlUKASPqemqtMs2quXbWIfJpE7FNthoQhBDs8dEN8HqCr7TA+rYuRWaQ1zFprH6Pkw1qAcF8woYm57i+K1A5P7ylsuPN9AZ/MzGNaC5Zx6fcOuxW1g7fd2XK32gshnkVCwM1sCSCRls76w2PzYY2lxuA+qbQ3uaHJAlIZ/KYW1RvFrY7bQj10CBhM6lbTDUZ1Quk7tInW7z2D42WkXh3eVMnI1Hn+xFCdEOX74q10cnX7OYo2W02lIxEnRL0XdYoxdVN7hWvLS37B3MFUm+TrQYFi425xqlODDY1w2ezIV0o4No8n+JTHb/SSOhq9cPtsCGbL2KYM5S6VvWm2eZRFKKziyYqX3CArR1eZctnt2NnM73p856f6p4/M5lxbgX6m7SnyiRRQKfshaRnbtrFUXbZbFRvmFq/Y7Zhzi0sYyW9uuVBUbY0jF8r5pQ6G6bSHzWMskkmzwBwkUCjMmn1+VFDxV5DzxjXfPYPbO3Mji0gnVJv3Qi2eGG3SbI1ympljxHRmaS68SszxY2kt8uI21gDKmSLr/FRIERpBD9b44Z5bXwWCY0LwowQBIK93VSef32U76nmuBw2fGVuVrU/Qg0nlb6txiJb++S1cyM+xe2Cf7ydHsPb83d4oB02i4iFeAojnFOhb1QY920ZTySaccPs2tUOQSBYjqawFFEPZvd6HAj4nADUe4v6/AHF+HV+ZbVqWom1mVWNtQEAiN0AJKC8ApTMoWIAAJFtKco6ypZRmXTQoMyqRD7pkS2Okt1mw9fiha+Flje1HiCoNYr8/VRCq312O1qcdG2pGb+22UMQICBTMsfetU22GhT7fHSkdyy1gESeL/H+OCNbnKWyoN+N3lAA5TJw4bZ5bvI82N9Hb9K8ZKvH50eL04lcsYjLs5wETS4lnmswstXnDsIhWpEqZjGa5DN/VcqsnETdZpFweKAx7UPWG4MGvSXdBrE2QJWyNWSevhur3YrwgPFEYq/St7X6+91l/KpyfpqsTbAKVhTLRc0RfkIsMuGCronopoPDcFWvjAgYl1lZE7luILVcRjRTzxZQ5R+ns3b6Oo0GLFjYu1pgtYSgvXWtH3PdsE22GhR+qxNdTrrQrsb41K0THZVSWYmztHN8FyV1jbZhHuijm8BrnM39hBCc6KAXPy8ZPRTohUgETKejmFppHPVGJAL2yn1br3Mqo8flc3Ntfg5JTjd1Ze3cNNfY+Waj4pekYf9g0AgMVJEtE6kTQJUbuN5UWZe2OgFUqTcq50cgAmdGohknEmmOKjVcVe8dbbO3gYBguZBEIr/aa4yVEYejUVXj1x4dIsvAlK2pWzMoasRCbQV6ZQ8wPcNVZh2iHUhtENsjrx0zYJtsVWG6gTZMADjgp09zr8X4mpD3BUOwSxKimYzmk9K9uG8nvSDO3TLXTd4IB2VlaySyxF0CVZS/ab7v6pJsSjn3wpKJnqg5wNbOlRgfiW73eNDp9aJULuNiDRYQAHDh1mTDxT6tJ9iGMLmcUC1RGwU2AxWyNTu2gGzaRCP8u4xVk+rQZDUYGb+2K35JxmSrXDRPkzzEDgBWADmgqH5+bKINLTb6/dX6trq8PlhFEdliAVPLq8kYU7Yi83FkVWJtAKC1qxk2hxX5XAGRUb5+3c1Azz5jw1U9VRSoEHW1MiJQ6YkzA7bJVhW+NXVhqz9CTahsmHzKgVUUlWDhM1OcU4w7KZm4PbWAJRMlxxsh4HGiO0gbj18b4VO3WN/WhZkZFDQiSO4Fy0k8t2SimzwHFKJegykrI6NnOJW/Pd0huOxWJFayGJriK1e+EdHicMJns6NULmNYxYWflRGj8RXEdUb4PQEXyuUypm6Zpy+pU45eGb+pl5Eob5iagdT6TeA8yhYRjR3bNxuEiIBEp3KhQwLbdb6fKAiKLY3a+fF7nfC67TTWZkY94UEQBHTspO9htp4/wMhri1mjLKo+sA0EDOwftpUtc+JitNHUCfpkcDU+wZ3/dF+NTfIBjxM7OujY+blbjVUOYurWFU6ytau5BR6rDclcDtfnOXuZZLJ1fvFOQ03dMbI1mppHPMdHopUyK6fyJ4kCjsixT+d+hEuJhJCqjET1Ef6QPMKvpW4RQqpChc2jMvNMSbJS0HQkhnx+dRmrEiqsP8LPZ2xqHrIFgC+Q2qhvS8figBBiqBwClQELM/VtsbUzMzyHgoZxNrNGyWQLqtYo7NyMx2PIqdj8bCtbJsXN+AySeXNMLvCg3x2ijc6FLEaSfPJwpS9Je1z7XlT6thprwzwgky3evi1REBS3dF4yejDQAwsRMZdNYDxljgwuHvitLnQ7KYnm79uiN8dLkQj3xCZTRn/U+7YGDNQbpfdGo68JqOTcmSl6hW3i8xOLSCfVVbnWJjecDiuKpTImI6vVl7uNX1eXSKsDmzXvWcxmoTSHcml1uW3LwMqba8hINFJvjIxjAaBrl/mIektHE+wuG4qFIqbvqNszGFmjhFxuuC1WFMtljKqoxmF7G3Z6dqzvB68T22SrCmWUG0rdkgRR6Rm6zFkOOhIOQxIEzCSTquGvamBk62yDbZiHBuhN+vXRiGpzqRrYEMGZKb7vahctOBiQswCXTNScy4Fa+7b6/AE0O2qb2GT2IRdvT6kaE/6oYNAoI5Fjw+zhmN7abHibPfDLYdMTGqpJtfqiluPntdkQko1f1ZS/kBxrk9GItQEAIngAgZoZmykjkSheW3oZiRUyqQY9VRSobiLXs3+g9zUz2T8QQrhKiXrWKIQQXS8yp+TE/7HrV9fj464ZdZGt3/3d38X3v//99f4spkCjNTofDtCegMucG6bTYsGBIL0p8fZtHd3RCYEQTMzHMBdrHLf0gfZmuOxWpDI53J7iU52qJxJ5lT/Wt9Voa4eRRF6iTic2a7MP2dnRCq/ThlQmh+vj5jAX3ApUApf1Q4V1yRZrKDbRhgmgqrypvSaM7C30QoWNYm0qL2TTfyZ66GHlTZ1AaqZsLeaWkCmurqwosTRRdeNXnmlWtnbGdAxotwJKvqYO2TJaO0ZlaLOgLrL19NNP4+1vfzueffbZ9f48W47zjbZh+mWyFR3lPoaVg3hLZR6HDbtlk9DzQ+a60etBFASllHjxDl+vwv6qic1bGk+S96JCtoZNdSMzAls7V+MTKJT4RsIZGeUl6oJAcHQHPaaR1s56g6kTo9Go6vAFUyd4lK2pWxHkc+qTZ1uBbo5eMqPQZMNQYa6+LWMT0U2H2Ef/W1pCuaSuynksHngkquyplRL7ZePXRDaLhZXV/ZXs3E7MRFHQsHbo2BGGIApYSaSxoNPbtdlQypscTfKaGYny2uG9X28V6i4j2u12PP744/jyl7+s+u9f+MIX8P73v7/eH79lGEpMI1lonL6tA4FuCCCYTkcxm+ELqa3VTwoAjskb5oXbjbVhHpUbtC9ymrJWT2zynp99/i5YBQlLuVRD9W31uVvhtTiQKeZxI8FHRtnauTAzzT+xqawd80xCbTY6vT7YJQm5UhETidXXKdtQtGJtANrj4vQ4aI/LbfNMJDJzSr0Nk5URtUb41yNUmJjQa4sILhpKDeh+rkqT/Orf693Grypl1rtibdT3AKvNgo5BqqCZSRnlyW1kDyLaypZs/8BpZ7RVqJtsffKTn8QjjzyCxx57DH/1V3+16t/n5ubw9a9/fU0fbrPR5vCjhDKuRBvHwNMt2bHLS+veFzlVufva20EAjMSimEvxlQXZVNn5W421YR7ZIZOtW/zyOSMUpznVG6sgYb/s6H+hgXr+BCLgcKAXAH8JdGdzM7w2G1L5PK7O8Q1lHJV/B5duT3H3zr3RIBCCfnmEX0298VXF2oxP600kylYLJhrh5woVNhjhN4o0YrE2+samzLHdPGQLAJeTfOX7qT/0DOiUoe+KtdGL7WE9f1fNSLa02zZ6DKxRKj5tUW6z7q1A3WTLarXiH//xH/H2t78dH/vYx/Dcc8+t5+faEhyUG4Yv1lCSMwOONFGpmpdseW127GmlMQa1ZN0BwGhkCdHlxvHb2t/bBqskYiGxgrFZdRn/XlQ77fMStMNNvQCASzX4VpkBRwLy2uEkiaIg1GwfsrOzFW67FckaeufeiDAy71Se4DncwM1ItqZua5c3q0f4ZxdWD+awvpuJRFx10pWvjMgmEqdRLq3OWdwyyJ9LbyLRSLkzapLvNVB/AL5y72ajfbANoiQincxgXoMoOuz61ijd1cavnENfW4E1TSNarVZ8/etfx4MPPoiPfOQj+OpXv7pen2tLwKazaul/MgOOyWSrFmPNWntv/G4H+troBX2Js//JDLBZJBzspzeyc0N8E4aH28KwCAIiyaRqyUf1GFkhqsUk1Axga+fS0mgNfVusSZ5v7YiCgAP9tfXOvRExqDM1BXCGCrMN84Z5Nszm9iY4vQ6UiiVNw1VJFNAVpsqe2vdrcTrhtdk0jV9ZE/lyYRnJvLoaT4QAINBzjKJ5FGbCobgx880pTbKlnQEI8K0dZh2iV+7dbFisFrQr5U09rzZta5S7jF9N3CS/ZusHu92Ob37zm3jTm96ED33oQ/jmN7+5Hp9rS3BQ3jCvxieRLZqnAdUIhwO9ICCYWFnEQobTzkFWJ05P8t+0j9TY/2QWsJ4h3hKow2LBwRC9AfCen/3+LgggmEovYZ7zd2AG7PCG4ZHsSBWzGFrm8yOrJuq8sv2RgUop8UcVFb8kjRF+jtgeMypbhJCKLYWOB5jexCUhRLdJ3iba0GKVY230SomisdXCpkMhW9qN+8z+YS47h0JptbJXydfUD6TWm0jk6Y/aCtRShtb6fhXlz7x9W+vis+VwOPDCCy/gxIkT+Omf/mm8+OKL6/FjNx1dziY0WV3IlQq4njDPzcwIHosDgx5KDnhLoCxYeGhxAbGMuhnhvWC9Nw1HtmRjzQs19G3VOrHpluzY4aVPp5caSBkVq/q2eMvQ+1qDcEgS4tksbi3yPUkeHqSbyaU7OsaUbyBki6vNOas3BL0R/nGNiT2gEvw8eXMaJRP1v/XIJFDPcLWyYdbXJB9WSol69g/GJqKbDka2ShGUS6td0AGgyRqAXbChWC5iLru6F5JZh8ymkqrGrz2dFS8qreuLRSvFF5YRVynlbhV41o4yYKFxbRg9yJgBdZGtffv2wWKx3PV3TqcTL774Io4cOYIPfOADDenDRQhRNp5LS6Nb+llqxVG5Z4i30bnF6cRAoAll8PdtMWXrxsQc0hqhp2bE/t4wLJKI+XgKE/MxrmOqnfZ5wTzPGskYFwCOyqVEXtsTiyjiaJjeuHmHCPb3hiGJAuZiSUwt8JVmGxlTKoSgx+eHSAiS+RxmVQZTWM/WxExMc4Q/3B+CKInIrGSxoKNibDa6OUpUvV36pS69WBqgKiNRdyLRfMoWEbyAQK1ztD4XIQRhWd1SWztemw1BlwuAeuhyZ5sfoiggncljfkm9zOpw2RHspqkRer5Wm42KB5gOUe/SLiMCVT5tbzSydeXKFTz11FOr/t7tduOll17Cvn378L3vfW+tn21LcIj13nCahJoFR6u8nnhRa+9NuMmLtoAHxVIZr4+aZ/TcCHarhP29VPk7x+n1dDRMJzbH4nHMJvkmNpW100DTrEBl7VyKjqLImbHJyOg5TuXPbpWwp5ua6V4afuP3bUVU/JJskoRuH40eUVNvWps8cNgtKBa1R/gli6T0uGg5tm8FuqsUNy1UO4GrqS+GocIO/VgbAFUmoiZ74FFIoPb9ucNgCEBPvZEkER0h7VgbBiXL0kRrp3dfpTSupcoxVXRWwxplsGpa06zK+brH9Xi9Xnz3u9/FO9/5TrhkJt5IYBOJr8XGTPtLU8PRQB8ICEZS81jIqkvV94KVynjVCQBKs/nlBmt0Zhl9vIHIXpsNe1vp0yjvEMEh2ST09nIEqcJqqd+s2OkNwyXZkCxkcJPbb4vFGvGXZtlEa6OtnXqgRQj01BtBIOhql6NXdHPuWMSJec4jK1FNDmmXN7vCfhACLCcziMZXTzSzczMSi6pahPAoW4qJaGEU5TJffuemQKKfq6zjJN9u8P0GDdSbijGudt8SWztm6vnr2BEGIQTJWAqxOfWHjGprFDVj3L5AAATQNH41AzYkG9Hv9+Pb3/424vHGKxfs9IZhFSQk8mmMr5hXkrwXPqsTO+WeofOLfOrW8XZKQK7OzSGVUzdSvBeH+unF+toIXzO1WcDyHc8NTWxY31ar3YuwnXq1XYubqwlVDyIRcDTASol8a+dQWxusooi5VApjcb7SLCPqvMHgjYzZjHo0EVMntBp5+ziiV5QN00SloLbeICxWCblMHnPj6vYeNpsFba3UnFNtCKDD44VNlJArqhu/sibyxdyiak8cAEBsB2ADkAeK5jk/RGSGq9qKm2JsqjEAMGDgRcb6mrR82oDKNOvkkHmIutVuRaiXWhHpKW561ih2yaIYv2qdn63GhgZRE0I28sdvCCyChN2ySejrDVZKvE8uB51Z5Ati7fB60e7xoFgu48IM3wbIRvivjMw0lPJ3oC8Mm4X6bY1E+C5GNrHJq2wBdCoR4A93Ngvua6ZljrOLfL0udqmSscnrtM/I1p3pRaQyfOS+UTGTVidbFWVLY6qsS7+JHODrcdlsiJKIjh3096unmuhNzYmCgP4AM35VCayWY23KKKuWaQGAEBGQeun/mKhvCzyB1HZGtiIoqZTzBw0GCPTsERg6TUjUAb58zV6dQGqgesDCnCLJhpKtRsV+uZTYSOoEAByv2jC51Zt2ZuDJ9113dbbCIomIpzKYbKBGZ5tFUhr8T1/nI0KVic1F7olNtnauxsyzEfKArZ1L0VHkVEbPVY+pVfnzudHW5EGpXMa1sTd2KPVCdkF1hN9o4s5o6grgG5XfCrBJSb3m6+qpOTVUAqk1muS5zE1ZIDXfQ+emQOklm0C5rD5c1GpvhUhE5Eo5LOVWnx9G1LWMXyvGpsY9W5HhWeRM9MDTzcrQN9cSSK3/ILPV2CZbKtjnk8trDUa2jgT6IBERkUwME5wl0ONKozOfrGyRROzqpJLv1QZqkgeAE7spETp9g49stTidypP2ec7zs0+O7bka5+9lMgMG3CE0WV3IFPPcii4j6rVkbB6QBxUabe3UihJKiKiUElkpaH4lhXhmdQZrtZ+QWqwNQL22CCGIzScQmzfPA0/3bnov0SNbijqhodwNGjXJy7E2UxqxNgBAZLJVNhPZEtoA4gRQAIrq15dIRITsVC1WI5OtThc8Vmr8OqJi/MoGEJZiK0ioxNoAQHM4ALffhVKpjMkh85TzFWVLd8BCLpNq2j+YeyJxm2ypYK9MtoYSM9xP+WaAQ7LigFzG4i0HsQ3zYmQGuSKfgzib7Lsy0lgb5kmZbJ2/NYlCkW/q7nit0TTeMEQiYCmX5A4GNwMIITjeTP2AXl3g26SOtbOJzRjmU3zxKPvktdNI06z1Qq33xm21Iux2A1BXb6pjbeY0vJDsTpvS4zJmInVLMc3UVbb0lTsjc8oOjkDqSsnOPGSLEAKIxkHZSpO8ytohhOieH6ejEmszqqH+EEKUjEQ9X6vNBjPrndANpJYjnTSsUXYYGL9uNbbJlgraHQH4LU4UykUMJczD/nnAykG8jc6DTU0I2O3IFAq4Ns8XLLy3hz59XR9vrFLQrs4gvE4bUpkcdxmL5QDyKlt20aIYzDZaGfqkTLbOcRJ1r82OXS3Ut4fXAoKtnWsNtnbqgfEI/+pNQRIFdLbJsTa6TvLGPS6bjYq7vc6GKasTcxoj/EqZNbqoqgzzlRFlE9HiMMqcViabAsmYbIVlewvNtWNQZu3hGLDo3Wv8e9pssBL07NgCMivqww/BZg/sNgnFYglTkdVDOezcRFJJLKsYv241tsmWCggh2CcrRI3We8Manc8t3lFtsrwXhBAcq7EcxJSt6+OzyHOqYWaAIBDct5P+Xs/c5O3boufmtdkIMgU+I9e9XnpMo5Wh2dq5nphCsrC6xKWGWpW/3V1BEAJElpaxlDDniPZ6Qc2cEuAPFdZrdGYlOzP1bXXuagchBPGFZc3yptdghL+XGb/mcphTUUtZGXFWI9YGACB2A7AA5RWgZJ6HZaIEUuspW/T7aQZSG0yz9nI0ybOMRDOpov5WH7zNHpTLZU2vNkEg6GYZkCoPIl6bHa1Oajdlxr6tbbKlAVZKbKTYHoD2mzlEK2L5Fdxe5lMP2IZ5fobvu3YHA3DbrcjmixiZMd+i1gPr2zpzg49Ed3l9CLpcyJdKeG2W73zuYWunwchWm8OPLmcziuUSd3TPfcqABZ/y53bY0BOiZOKNrm5pjvAbhQorTeQcOXcmCqTmLW9WMhJXf3+bJKGLGb+qqDdGsTYAQIgESNTzzlwTiSwjkcPYVHPtVMw71cAzYNFtQmUL4MtuNLJGGTTxROI22dLAHlmdaLQN0yJISvwKrwXEfe30aercNF9unSAQ7JHLQY3W6HxC9tu6PDyNdM5YqSKEKISCV/mrJuo86qKZwNQt/rVDz821+TkkOb3a9jXo2qkVM2mNEf6Afl9Sjw4ZYTBjIDUA9DJbiqt6vTf6ocl654fG2vCYm5ovtqdS3ryjWd5ss7eBgCBZSCKRX21OzZSt4eiSqvGrUf4kUCE1U7ciKOTN05PMMhL1iLqe1xZQZfy6rWw1Dnb76IIcTS0gXTDPiCwPjte4Ye4LhmATRSyl0xiOrp5yUcOebuqufmOCr8/LLOgJBRAKuJEvFLkDtY+FGRnle32/OwirICFVyGJqhe98mgUnlLXDt0mFPR60e6idw6UIX8lmrxzb02hrpxZYiIR8OY/57GqDT6ZsTSbiqqXpXmXqynjDXJhaworG5NlWoFvZMLWV4z7DQGr9qbJwlR+VJjhKdpsOsQu0vJkGiupKsE20odlKz49a4Hant2L8OplYPUDByEhkPoG0hrVDa2czHG47ioUipu+YR11WFDcO6xDtQGr6/YdN2CS/TbY00GLzoMXmQRllDC2bp+7Pg5PNdPT54tIIskVj9cYqijgYkrMDOQnFni7WJN9YGyYhBPfvoSWGV6+NcR1zTFb+LszMoMSh/EmCqDTJ32iwMvR9TQM09ik5hznOacpahwh2y0S90dZOLWAj/Gq9N80OB/x2O8qA6sNNd0cTCAHiy2nENPraPAE3/EHqmG0mN3DmAaavTtANUyuSiJWCtPpu2hVlS8/+wTiLcLNBy5usSf6W5uvadUqJ1cavamVWv9cJv9cBAJiYVn/QI4RUzE1NVEpU1o7OlGT1g4iaNcqgQYl+K7FNtnSwS3aSH+LMizML+t1BBG1eZEsFXIqOch3DNswLM7VtmLenFlTlbDPj/t0y2eL029rbGoRDkrCcy3L3AlTWTmMRdZ/ViT2yqsurbjHlj3ft7OxsBSHAXCz5hm2Sb7NTsq3mB0UI0fUEstssaGv1AtAvB7EJLjOVEpm7vd4mzlzyp2djyOZWl7GUUGENdYIrI5Fj8m9LwGFLYUQmBwzsMXp0msgZzDjNysjW1O0Icll1kaBDtkZJZ/Kq1iisjDgej6kav24lTEu2Pv/5z6O3txd2ux0nT57EmTNnuI7727/9WxBC8L73vW/Nn2GHhy76W8uN1VtCCMHJFqpuneb0TDoqb5jnOTfMzlYf7FYJmXwB43N82XhmwYk93SCEEsX5WNLw9ZIg4HCbnDvJqd7skJWtWw2migIVC4hXF4a4Xs+Uv4uRGS7i7bJb0dVKm6CHpubr/JR82Kr7SJtDW9kCjNUbI7dsAOjeJefc6RhBbjY6d9LrJEUd1n4AACAASURBVDobRyqu7r3W7HfB7bShVCpjKrJafemvMn5NZFdPxbbL9ggzmYh2j6nYS/9bjqJcMk8pXzFcLeo1ydPrSTOQOlCxx1CDsnZ08zXp2pnQcWzfbDS3N8Hlc6JULGFKQ62VJBFdYW1rFCPj162EKcnWc889hyeffBJPP/00Lly4gEOHDuGRRx7B3Jx+2WF0dBS/9mu/hre85S3r8jkaecOstW/rWDu9SQ5Ho4imjXtAREHAjg46eTQ0sbEb5noj4HZgj9w3xOsmXyklcqo3HlnZasC1c79M1M8s3OZq8N/V3AK31YpkLoehRU7lT04huLmBa2cr7yNhu4FfkoF6U3FaN45eGTfRhunyOtEkb4bjN9SvFUJIxdxURbnz2Gxoc8nGryrnJ2gLQiQisqUslnIapTLBBQj0nmamUiJEOrzEZWxqsHa07R+MyZYZBywIIVyKm1KGnljdD1mtGpvN3NSUZOtzn/scHnvsMTz66KPYu3cvnnnmGTidTnzpS1/SPKZYLOLDH/4wfvu3fxv9/f3r8jlY381wcq7hpsoY2RpankEsZ+zu7bc7lF6Ai5yNzoPyhnBrevWiNztOKhYQfGTraLjSt8WDAQ8lcwvZZa7zbyYc8HfDqdiHGKu6oiDgkNzzx7t2GFG/vYFrZyvvI0rPlob6oihbGmXpbo4Rfka29OJxtgLdu1nOnXH0ihYh0GuSlwQJQRttY9Cy16AvZKVEPhuTTUHVZ9JS5di0ZTQfRbq4+sG3cm6WVH8GWzvjGj1bwN2/IzPFiilrWmftGA2QGBm/bhVMR7ZyuRzOnz+Phx56SPk7QRDw0EMP4ZVXXtE87nd+53cQDAbx8z//84bvkc1mkUgk7vqjhi5nM6yChHQxh+m0uSRJIzTbPBh00w2QN7rnSFtt6s2Oduoefnuq8chWdU4iz83miFxGHIlFscSh/LkkG9odciNrg5WhJUHEEdk+5DSnMno0TM8P79oZ7KBr59YGrZ3NuI8A2veSkD0EAoKV4griee3ekpFYFAW1Ef4u9vRu7LU1NTSDokp8yVaBlah0neQN7C3Wo0keEl3DpppIlHoBEKAcB0rq380lueCz0J69mfTqe0efPwCBECznsqrGr8z+YWI6qhlLFh5ogyAQrCynsThjnr2ta6ccZq6j1hqvnW1liwsLCwsoFosIhUJ3/X0oFEIkor5p/eAHP8Cf/umf4tlnn+V6j8985jPw+XzKn66uLtXXSYKIXhd9Ar/DaRBqJtRaSmQb5kVO9YZtmMMz5nqC4MHhgXbYLCLm4ymMRIwvSp/drsjTvOdnwE3X8HCy8abu2NrhJuo1NskPtMs3zMgSd05lLdiM+wigfS+xCha02Oj1oaa+tHu8cEgS8qUSJhKrpz7ZhqkVawMAwe4W2J025HMFTN8xD6GvqBM6G6aivmioEwZlVqNSGwCQKl8rs4AQOyDS8wOdvq2KvcXq72eTJHR56SSqGhkNtXhhs0rIF4qYnlXvp7XaLGjro+qgmZRRHrW2x0DZUlz2TTaRaDqyVSuWl5fxkY98BM8++yxa5Jw2Izz11FOIx+PKn4kJ7VFTVkpsNHUCAE620JvN6YXbfOqNTLYuz0ZUn7bvxYCsbE0txrGi4eliVtgsEo4M0gv71et8FhDs/FyMcBIKuZR4J9l4RJ01yV9cGuUKY2fK32gsxqX8dTT7YLdIyBWKmJzf+gGLeu4jgP69RI8QCIQojeBqpURfVayN1qYiCEJVqLB5Rvi5+m7kFgSjEX6tMmu73ESuNu2pQG5GN1MgNQCuQGoj49ZBnTKrIJCK+qOnjHLYdGw22NqZuDGNksYexMqk8eU0ovHV08ysjDgcjZpqUt50ZKulpQWiKGL2nmiU2dlZtLW1rXr9nTt3MDo6ip/8yZ+EJEmQJAl//ud/jm984xuQJAl37qxe0DabDV6v964/WmAb5nADbphHAn2wEBGRTAzjK8bq046mZritVqzk87jF0egccDvQ7HWiXAaXOmQ2nGQWENf5+rYYobikoYzci35Z2RppQGWr3x1Cs82DbCmPy1FjMlqt/F3m6NsSBIK+sHxT3IC1sxn3EUD/XsJKXdqxPfrqTaWJXC/nznwZiaz5evrOLPIaKQ3hkA8WSUQ2V8Csygg/OzcTGsavyrnVtX+QbRaKkyiXTGQxIvdtlXUa9xWibhD5pKXeKE3yOtOsvXJGopnWTrg/BFESkVnJYkFj3Vdbo6g9iHR5fbCKIrLFAqaW1VuEtgKmI1tWqxXHjh3Dyy+/rPxdqVTCyy+/jFOnTq16/e7du3HlyhVcunRJ+fOe97wHb3vb23Dp0iXNEiEv2Ia5UepEsZzHQnYEI8nTyBRXxzOsBQ7JikMBmVBwjPGLgqCYm/I2OveH5THk6fUvJZZKZczOxHDt9UncuDa17o2cp/bSc3NuaAI5jtgKZv/w2myE64mp310h6hvRhJrML2Aucwsz6WtIFda374IQghPNTBnVNmCsxmGZxPA6ybO1M7wBa8cM95F2I3WCjfBrBVIzvySeqTITZSS2dDTB6XFQh/Lb6g8mkiigM0ztP9S+X4vDCZ+NGr+OqBi/smnPZY1YGwAgQhMgUNKhV7LbbFQMV3UmEhUyqX7+jLzIFK8tvUBqFq1kImNTySKhfZD+brWmWQH9BxFRENDnl/tlTdS3ZTqyBQBPPvkknn32WXzlK1/B9evX8fjjjyOVSuHRRx8FAHz0ox/FU089BQCw2+3Yv3//XX/8fj88Hg/2798Pq9W6ps/S56J17fHUIgql9W1CvRz9Or4w9B781chj+Mbkb+Avhv8TRpN8PkC8qNVvq9YNc4BtmOvct5XJ5PGr//nL+LkP/BE+8Ytfxi//wp/ht/7b3yGRWL9oksH2FjR7ncjkCnhtxPj77mxuhtNiwf/P3ptHSXJXZ6LfLyJyXyqz9r2qq/dN+8YizCKz2MYMPGHGGxjb2IbBy8E+5oEH8AxvBoxl3jzb2MxgsAw2BhsMMjYWuwCBENpaa3erpe7qrq59yazKfY33xy9+kdmdvy2zq6ui+9Q9R0dqVURnZtTNuF98373fzZbLWl/iyWgfDBBsVApYLW0ukD6bewSfev4X8I/Tb8c/nf0d/O3zv4Bn0l/b1Ne4jcnQmj1/DIw+psn8sb6t5y9Tz99230eGFX5JqqXCrEleZmyq49i+1UEIcQ1XdRZS8z4fIUS65y5gBtDrp3KvtEneZMufPSQltgG2lkpLqHJk/L0usyUA6mPytTaAnmP7doTOQmrXGkXA3Kmuz3aEJ8HWm970Jtx11114//vfj+uuuw7Hjh3Dvffe6za7njt3DvOaTcqXGoOhLgRNH6p2DbP5zUPJqfJ5fG/xr1GzK/AbYUSsHuRrKdxz/r24f+kTm8aEMM+kR9dOa4HFZvZGJ3YNOlNVmywFfeaT38Pxp2dhmgb6B+Lw+Uz86P5TePtbPoFTJzfnd28YxLWAeEBjdY9pGDjaT3PwcY3r4zcsjISd65PbPD+pYi2Db87/KWzUETTjiFg9qNkVfGPhT/Gdhb9Azd4c52TGbJ3cmNMCi825o7PW6HLlDovtvo8wKUg0wu8uFRaM8DecwNUTiTMnZlGreWci0d1zJ+3bYlKXfM+diPlTybQAvLkjkYGt+hzsOt8WJulLImgEULNrWCq1tiGwfr+lHN/4VbXWBoC7smd9JYP0st5qrq2I8QP6Xlsi1lcl0W9HeBJsAcA73/lOnD17FqVSCQ8++CBuvfVW92f33Xcf7r77buG5d999N7785S9vyvswiOFOJE5vYsH84fKnUEcVE5Fb8Ft778GvTH0a1yapW/Uja5/HsdSXNuV19sYG0eULI18r4+l19dMv80s6tbqKTKmkPJ5JQdObWDDnZ1P4wud+BAD4wIfuxD986Xfw5//nrRgeTWJpcQN/9Pufw8ry5mjx7fptXeswfzp9SQCwK0qZ0elN7Nt6cOUzyFZXkPCP4ld3fxa/tvsfcWvvmwEAT6TvwfcW/2pTXqcnEHO3KDy8qpZh9vf2ImhZ2CiVMK3h3rxr0Hk6XVy7bI2s23kfCVthJHx0aozHbk0kErAMA9lKGQvZ1k0GTCqZW0ijUuEDqcHJfvj8FsrFCpbOeseCZfyAeiG1qom70SQvWtsjN44FmiU77zBbxEgCBv1soklJQojbJD/LYe5Uxq8XrLVZ5T8ohSJBDEzQ2uYlc9OG4arEOkTh06aS6LcjPAu2vBTjEUpXn81tzs1srXQOz2W+DwB4cf/bQAiBZQTw0oF34va+3wQAfH/p4zibfeiSX8sgBm7qoQ2ZD2nIQX2RCIZjMdgAnl5WA4SJAaqNz61uaPU96cRnP/0D1Gs2brxlCi948T4AwJ79g/jYJ38Nu3b3I7WWw3977xdR5uxVazeY39bxc0vI5FufEC8OBkZ1mC1g83Nno7KIJ9NfAQC8dOC34TOCIMTAbb1vxmuG/ysA4In0v+LE+rdkf412uBYQa2pmwDIMHO6j4PJxDSlxpDdOm6QrNSysba7M6pVoSImtBdNvmhjvomCMZ8DY1x1FOORHrW7jPGetDQCYlokRZ0XOOQ+N8E+6OxLF76khdfGZPZXMquqJA9Ak2XmnZwtA06SkzEleLkNPyYxfLROjg7QnTu4k770diZNt7NdcFFijTCmMX7cjdsCWRkw4zNbZTWK2Hl37ZwA2pqIvRG9g1wU/u777ThzqejVs1PHVuQ9iraTHuMji5m56w9HtvXEBhUbB7ImHEQ3RXVQzmzDCv7S4jm989QkAwJt/7SUX/CwaC+KPP3QnYrEgTjw9i4/+z3+75C/SQDKGyYEk6raNh57VYP4cqezkygoKFf6kVXM0cmdzwNaxtX9Bza5gNHwtxsM3XPCzffGX4paeXwIAfGvho5gvPHPJr3dLm35bLvOnAUZNw8BYHwUb04veMVbczGBSIo+dAJqfwPl9S40neNlSYe+tXmH9QDMnZoWGq+PD3TAMgky2iLV067QguzbTKb7xqwtkNWRE1M7Btj1kT+PKmzoLqUUDFo51iACMTij6moBmyc47PX+j+4dBCMH6SgapJb682RULIREPAeBPJE41Gb+u5L2xwWMHbGnEeJiyEzMa9gmqqNbLOLnxHQDADd1vbPk5IQQvG/gdDIeOolzP49sL/+uSAcUtTqPzU+kZ5KtqaZBNJOr0bRFCMN7vPEFtwkLqB3/4HGq1Og4dHcWho6MtPx8e7cYfffANME0D3/r6U7j/vhOX/Jq3tCElDkWj6A2HUbNtHF9Rg+/xsOMnlN8csHUu/ygA4JrE60AIafn5rb2/jMnILajaJXxt7kOo1i+twFyXnIRJDMwXUlo9iyx3nlzUm96d6KfM6MzSVQq2NJvkhQVTY4R/bD9bveIdsDUw2ecars6f5udCwG9huJ+CbR77MhKPI2hZKNdrXONXBmTXymso1gSstDEAkAiAGlC79AfXzQrXcFUKthiY5AP13QqZlcm0UrDlAHUvLaQOhgOu4arMlsJlRjm502z8yptm3Y7YAVsaMRZx1h9sAthaLj2Hql1EyOzCcOgI9xjL8ONVQ++GRYKYLTyBp9e/ekmvORLqxlAoiZpdx6Nr6j1hR50G4ic0C+Z4HwVb5zahYD79OO3xuPHmXcJjbrxlCv/5zS8EAPzV//o6clm1/CcL1rf1oIbfFiGkLTDKZMSFQlrLHFQWhdo6Vkv09zcSPso9xiAmXjP8XxG1erFemcdDq/94Sa8ZtgI4mnCuj4YFBBsgeGZ5CRWNhu1xR4Y+twlA3YvRaOIWjfDLzTsb7IRECmLshIdkRMMwtORN2VJhgxBMOSP8vOsT9UURs2IAxNeXEKK1/HnLQ8Nwtdn+gbebd6+u19YVJiMCDWZ0WjIpqZpIZNOspzX6R7cidsCWRow57MRqKaPFDMlisXASADAQPMBlJljE/YN4Qe9bAADfW/xrpMqd07yEENcR/McactARp2DOZjaQ0nADH3OYrc2QEY8/Tb/0PFarOX7+zS/C8GgSK8sZ/OVHL83y4KZ9ozAIwdmllFbvEAMUTy2pe9q6/VGETT9s2Ji7xGnWhcJxAEDSP4awlRQe5zfDeEn/OwAAD69+FotFtceaLG5po29rMpFAzB9AqVbTmgQa69u83PFisLUry6VllOutsrPS2HREg9lywJZs8fN2hM77UjF3jL0Rru1R+FEB8OZCauYiXzsP2+bXlP5AH3zEQsWuYKXUCpiajV9L1dYHOXeZuQRssd/R0rkVFPOXVts2M3QsTWTMFtDInTMeWduzA7Y0IuYLIe6j+vBs4dJ+cYtFB2yF9iuPva77DRgJXYOKXcR9i39xSa/b2JOoZifigQAmE7QIPrWkZrdYwZy9xPHhjfU85mbpU8j+g8PSYwMBH/7wfT8LwyD45r1P4sEfdj5tFAsHcWiCAqgHNaTEIy7YUl8bQghGHLB+/pLBFpVMB4MHlMfuid2OvbGXoI4avjH3kUuyg2AWEA+vnuY+YTcHIQRH+qkEoMP8jfZSqv9qBVtdvjjCZgg2bCwWW/OF2RusFvJIF1sfbBpeVKviEX6HQUovb2DDQ4MG4/v199yp2AkReyPbIciCuI7tHgJbRg9AYgBsoDrNP4QYGHAmLnmfjxm/1m2by96MD9Nrl94oYD3Df2ju6o0j3kPZwfPPegesu0Bd8p4mFKa/jZ62HWbriorRTSqYS0UKdgaC+5THGsTEHUN/AAMmzuUewdncwx2/7s09e0BAcDq7hJWi2jaBAQodKXHUaXI+v3JpYOvUSVqch0eSiDnNj7I4fHQMr/+5WwAAf/Oxb6FW7dw+4LaD1E3+QY09iUcHKJh4bm0NeY0m+VHHa+tSfdoYQzUQUoMt2vv3uwiZXVgtT+OZ9L0dv+6hrlFEzADWK3k8u6G2vGBg60kdoO6wonOrG57aY7ZZQQhxAQGvbyvi92MoSosdj70ZHuiCZRkolqpY4qy1AYBQNIQ+B5R5SQ5ixqY6MqIYbMlH+BtN5LIdiYxF8o6MSAhpel+ShdQhsb1Fs/ErT2YNh/zo76W5JWdGnd+Tl3LH6UOUAfVJhTUKy53T6R1m64qK4ZBjcZDvHCVX62WkylSD7gvs0Ton4R/GNcnXAaByYt3uzLgw4Q9jX5zemB7R6dtqg70Z6aFgazGVQbXWecF8/hR9rT37W3fXieIXf+XFiMVDmD6zjK/9+7GOX5v1bT307IxyIKE/EkV/JIK6beP4srpJnuXObOHSnrCWi5S96w/u1To+ZHW504k/Wvk7lOudue9bhokbumnfi85E65Gmvi1V9CeisEwD1VodS+lWr6mrIdylwoJGZ1nBtCwTY0M0f6YlBXPisPd2JDJ2YuaEeNUWY7ZW1rLIcWSs3e6ybv4Iv5b9g7v4+bRnbAAANL0v8f14WMHcTSnW9rh9TTIpcR8bsPAOs8UMV1dm15AXsHK9CmsUdm1W8t7Yi7kDtjTDBVuXICOulc9e4PqtG7f2/jKCRgxr5bN4PNW5yeJN3fTL/cia2nPmsMNO6Hht9cQj8FsmanUbi6nOZYzTDtia2jOgfU4sHsIvvfV2AMDf/u/7kOlwnc/RXYMI+EysbuS1HM3bkRKZi/yl5E6umkK+tgaAtNiFyOJo8mfQ5RtGvpbCQ6uf7fj1mZSokzvs2hxfXuaO7DeHaRgY6qZLZecEzM2VHqqlyW5fknAiUWPPnbNUWNZQvNUxum8IhBBkUjmkBSbEsUgQPYkIAD77MplIwiQE2UoZi7lWMM68qBYFa20AANYkAAuws0Bdzx9vK6Ihb4oZtyGV/YPEawto2iEoyR0v7teMd8eQcCZVZwQgUGWNEg8E0B+JXL432WbsgC3NYGBrvtB5b8laiUpUPf5JaXP8xRE0Y3hh368BoAxFqdYZA3BjG2DrUB/1hzq/sYH1onzazzBIo2Cudl4wz5yhLNGu3f1tnffaN9yIiV29SKfz+PQnv9fRa/t9Fq6ZojfuhzX8ttj10QGjQ5uQO2wKMeEbhs9QS6wsTOLD7f3UKPfR1X/ueNDihh4K8B5PnVWufZpIJBD1+1Gq1YRj6c0x3MNyxzsrQzYzhiUyIqBeKrxrVD2RyBqKvTSRGAgFMDDJHMrFeTcucQOnxq9UauZdn26/fK0NABDiB0zaJuAlJ/lG4774ftycO1zj16QcqLOeP+nKJw/u1wQa8qZMSnSHAIQrn/RJjcsdO2BLM4Y3gZ1YLU0DALoDE22feyTxU+gJTKJcz3e8yue6buqZNJNfxYKi8CeCIYzGaRHUkYOGnII522HBrNXqmHHWjeya6mvrXJ/PxDt+75UAgK/e8xhWVzpj127eR9mBh59VswPMKV3n2gwGabGYvwQZkeVOTxusFoup6AsxEbkZdVTx0Epn7Nbu6AC6fGEUamU8o1j7ZBCCA730d6iVO5sA1L0cjNlaKPJH+PcolubqMVteXyos69tiU3OqJvnWz0/X2tCiLDKOBQC4vlbqAaEtC9dw9TRsweDJUGgQBAS5Wg6Zaut9jV2b6VSK2/PoTuxJcoc5tp8/OYfqJm0B2YxgK5+kTvKSZeZA4/p4IXbAlmY0sxOd6v6sX6vbP972uYQYuKXnFwFQB/pirf3CFLWCOBCnNyY9dosCiuMrakPOkV5aMOc7LJiL82lUyjX4/RYGhhJtn3/9Tbtw6MgoyuUqPveZH3b0Hm7aT7/cDz97Xjj5xYLJrKdWV1FW+EkxVjRbLSJT6UzmXCtTVrQ70EnuENzm2Iic2Pgm0uX22Q+DGLjR6dt6WEeGdpg/HePXIWcaat5Dk3SbGX3uCH+VP8LvMFvnNza4WwlcMCJYawM0pKCV2TXkNrzRowK0VzB5TuBAE3sjsn9QMIcAXLDlqYXU5jgAH2AXgDr/vfsNP3oD9PPzPt9ovAsBU2z8yq6taK0NAPSP9yIUDaJaqWHueT1vxa0I5h8nkhEB9TQr+255IXbAlmYMBql+XKiVsV7p7GbGwFYyMNbR+XtjP4HewBTK9TweWf2njv6OdqTEgw47cbwNdqJTsDVzlhah0XG6wqPdIITgLW+j633+/Z5HsbzU/vs4PDGIoN9COlvA8/NyA9uRWBwxfwCVel0plYUsP7p8YQCdS4mpEgPq7bOiADAYOoCJyC2wUcePV/6+o7+jrdxxmT812BpMUrC1sHZ1MlsGMTDIliZzmuR7wmEkg0EAwGmOHDQ+lAQhQCZbRGqdf++JJiLodnbhyWSXrQ6X2ZJOlcmlrsYAgcJrS2r/wHYkegdsEWI5/WRQ7EgUfz6DEOxOMuPX1utzwVqbOf71I4S4wwxeWtvD5E09oM63RmHGr16IHbClGQHTh56A8wTeQcGs2zWsV+iXJemTG3aKghADL+h9KwDgsdS/IFtpfwUMK5gPr6oncw72MSlIY+LOkRE7ZSdmztEb7chY51+O62/ahaPXjaNSruHvPvHdts/3WSau201vOg+flMsxhBAc7KPu8FrsjcNuLRQ7BFsMqPs7yx0AuK33zQCAExvfcmXJduIGJ3eeSJ1TuuE3A3VVng0706xXK7MFqKfmZE3ygYAPQ06zsMygslGcvAO2dORNVjDnFtLcZfau/YNAZm13IbW3JhLZ+xL3krEmeZFMultxfVRSG6BnIrrVwYD67KkFobw5PJiQWqPs6e6BRbwBc7zxLq6QGHDYrcVi+31J2eoKanYFJvEh6muvJ6k5dkVvw1DoMGp2uaPeLbbrbqGYxpyih4gVzOfWVpWrVwYcdqLTacS58/S9jI51TvsSQvDr73g5AOAb9z6Bxfn2gc3NrpSo7n1h1+eEBthyc6cDoF6tl5Gv0esT9+vbYlwcg6ED2BO7HTbq+NHKp9s+fyraj25/BKV6BU+n5ddnX08PDEKQKhaxlJMvgh3sbuSOpwrhJsaQwg9qT1LO3qikNgAY2+9BdsKRN1fnUsim+XnQk4wgEnZG+Odb70m7m0b4ecM6DeaH3xMHALB2ASCAnQbq3vBdAtC0kFrCbCn2a+5RbSFgzKEMqB9QG9BudfSN9iAUDaJWrWH2Of4UqWUaGB0UW6P0hsP48dveflnfp27sgK02ogG22i+YrE8m7huEQcyO3wMhBDd1vwkA8GT6K21PJoYsP450URnzIcXqntF4HFG/n0plipUHDGwtpDLKfideLC1SADs41NX2uc1x6Mgorr9pEvWajS/900Ntn3+T2yR/XmmyecBlb9oAWx0A9VyVMpgWCSBoxNs+vzluddit5zP3Y73cnq8OIcRlt1RSYsCyMOXIGyrmrz8RBSFAuVpDSuCpc6XHiKKJe7fCvLOxekW2VNh7OxKjiQh6hmkeiFgTQogLJs9wGrmp8WsUAJ+96Qv2wSQmyvUyVssiqSwImPT6eGkiUWshtaInbXdSYf/QxsonLzFbhBA3p+XMqHialRACy/AGzPHGu7hCghXMZQ0H9osjU6GNh3GfvoeUKHZFb0O3fwLleh5Ppv+t7fOZQeVjqWnpcYQQ7O+hUtlJRZN8XyICQoBqrY50tv2CubxMGbGevksDEwDwxl94AQDg3//1UWy06bt1cHwAkaAfmUIJp2bln3l/r3NtVtVy7kCI5s5SB7mTdcBW1OptyzKEF72BXZiI3AQbdTy29sW2z2+nb0s3d3yWiZ4Y7WlbTF+dUiLzgxKN8DdWiyjMKTUWUnvJnBIAJpxpN1khVznJy5rkTWJiIEjvqyIvMwAXTP95JprAlojVZTJpqpJCodZ6P2NAXWT82rzySRQM1Jw/OYe6hzY56Ejjbs+f5EHEC7EDttqIviAFAp0UzFyVJno7ZqaiIMTATT2U3Xp07Quo1OU+WBfH9Q7YOqbhJK8LKHzmpRXMVQds9fbF2j734rjp1ilM7R1AsVDBPV9oj92yTAPXOn5bj52SMwT7enpBQOUNlUtxf4CBrfaZrUyFMkNRX2/b5/Lihu6fAwA8vX4v8tX27CjYROJTg0ro7wAAIABJREFU6Rll39aBNmTWfocZXUpdnS7yg8EBGDBQrBeRqrQy46wvaTqd4hrBugubJQWFsROzzy2gUlavkdqqmDio3+gssihQmXe67I+kSZ71R3lqItHaBcAE7AxQ508CRqwIunz0/sFjtya7ElLjV5Y75xfSqFb57SDDuwdh+UwU8yUsS2witjomDjKgLma2dGRSL8QO2Goj+gIUbC2XOmEnaCJErc0pmPviL0fcN4hCLY2n0//R1rlHE+MwiYH5YlrZQ8TYiWdX1Yncl6BU//K6vEfn4iiXq1hPU7CyGWCLEIL//EsvBAB86fM/Ri7X3jb76/fQovXY83KwFfb5MN5Fb4LPKsAoA+qd5E4DqG9O7oyFr0d/cB+qdgmPpf6lrXMnIn1I+iMo1as4sS6/Pgyo6+ROv5s7VyfYsgwLfQEKPnnsy1AshpBloVKv49x663eSSUFLq+IR/t6RbgQjAdRrdcyfVk8Qb1XoLBWWSUFAE3sjYP4aLv1ih3hiqdfjbHVQw1XHzkVibjoi6fkLWBbGHONX3vXp74khFPShVqtjdoF/vzctEyN76Wt4SYaedNZQyTYjuF5i51c93fO5A7aaQrV6xQVbHTBb+Sr9EmwGswUAJrFwo9O7dSz1ZaEpHi8iVgD7YvSLpZISXWZLw2urr4sWzHZ33KVW6fGWZSDepe+OLouXvPwgxsZ7kMkU8Y2vPtHWudfvcZit58Q73Vjsc8Go/Pr0N4Gtdm8IzTLiZgQhxPVseyJ1T1s7EwkhuDZJ7SdUubOvp1EgVWt7GrnTHlC/ksKdmhOO8IvZm3gshGQXZY6lI/z72VJh7/Te6CwVnnBk0pn5FGqc/aqqAYIGsyUzNnUMgSWgZlvCBYGStT1MhhYwd7LrQwhpclpXM6MzHppmZQMWs8/OoyYY0hofpnZBmWwRa2nveMxdHDtgqynuP3dO+vNex/phtdS+TLaZMiKLA113wG+EsV6Zxdncw22de11yEgBwTFEwmU/JbGYD2TL/iZpFbxfdQ7XcJthaXaHHd/dEL7kniYVpGnjdG28GAPzrFx9uC+AcnhyE36J7EmeW5cwfA1unFOwNy51irYJctT2mrZE7m2fQNxV9ARL+UZTreZxY/2Zb57LceTx1VnrcaLwLYZ8P5VoNZ9Py69jHcucqZbYA6gYOiNmXRpO8aKpMveeusfzZO31b7D0tnFlCuci/hwz2xeH3mShXaljg7FFk1+b8xjqK1VaJdEiD2XJ7tupzsG0PDWKwHYk1yUJqxefbrdqR6IAt2TTrqLOQeuakd8BW/0QvfAEfKuUqls7yH2gDfguDTq+vrKdxu2MHbDUFz1CwOXqCtGDmaiUUqnLgcXHkXGZr8wqm3wjhUNerAaBtG4jruied86alxyVDIfSG6RP184IvMgtWMFc22mMnVh1mq6f30iXE5vjJVx9FOOzHzLlVPPqQvnQQ8Fk4NEEbbh99Tn7j2euwNyqpLGj6EbECAICVNqXE3CazogDt+7sm8VoAwBPpe9oCowxsPZE+Kx61x4VsjYr5Y0B9pU0J+kqKhkWBwP6hW7dJXjaR6L2lwt2DCYTjIdTrtnCE3zQNjA05U4ucgtkTCiERDMIGcDrV2mc45JjGZqoZZCqCh2GSBEgXANtbUqKpZtzY5xPbP8hlVsYc6tg/yOTerQ7TNDGyl352mbypAya3O3bAVlOIngpYRMwAgqYPALBa1me3bNt2fZLCZrLzN8iJa5OvA0BwNvcQ1kpyZq45rnOkoNPZJaTLcuqVsVsqQMEK5qrA5VoUTEbs7om2dZ4qwpEAfvKnrgEAfPmf22uUd/u2VGDLuTan1tT9Ag1mtD325nIAdQA41PUqWCSI1dI0zucf1z5vX2wIIdOPjUoBp7Py3iAmJZ5SfLfc3PHQqpnNDpVfUmPiTmBO2caeOy/tSKQj/OqpsgnJVBkhpGFuyrk+ATOAXj9lmUX2GoSQJnNTLzXJayykdpitpdISKvVWZm+PghVt7msSxagrQXuH2QKa2drOcscrsQO2muJsel3aW0IIQbefAoK1NgpmuZ5DzaZfkPAmF8yEfwRTUWp18FhKf5Q/6Y9iIkJvTk+m5XJQc++NLHritGCuZdormGtrlwdsAcB/uvNmEAL86AencP6cPsXMwNax5+RPeVPJJAxCsFEqKScSe/wUbK2V2wNb+Rq97pudOwEzioNdPwkAONZGo7xlmDiaGHfOm5YeqyoCLHrilD1dbZMVvZKCsRPpyjry1dZcYczW6RR/hN9lJyRSCXMCnznhrRH+sQMafVuKJnmVPYbO2h5YewEAtoe8thry5gLsOj//E74EgkYQNmwsFlsfcBiDvJzPcY1fJ5uYH5EPIrN/WFtII+OhqeDx/WqwpWONst2xA7aaolKv4dy6fDSfga12+rYYM+E3IrAMf+dvUBA3dN8JADix/i2UavrFislBqkZn1i+h6kvqjrGC2S6zRd9zsjvS1nk6MTreg1tfRG+wX27DBuLa3cMgBJhZTkv7iAKWhbE4m0hUXJ9A+7lTqRdQcRrYN5sVBYDrkq8HAJzOPoB0GyanrEleDbbkvSQsmoF6J6a4V0KErTASbISfAwgmuhKwDAO5SgXz2dYcYRN7s4K1NgAwNDUAn99CMV/C4lm15cZWhbuQWiJvTihk0il3gEAOtkTMFgAQB2yhekr+hrcwiNEFGM7wi8ADjBAiBZNRvx+DEbHx64iz1qZQrHDX2gBAJB5G/zh9H15iRnXMesc1rFG2O3bA1kWh6ttiBXOtrA9q2CRi2Nr8YgkAw6GjSPrHUbWLeDbzHe3zdBudm5+4ZcHYiVQm31YPUGrNAVs9mw+2AOBn33ATAODbX3sK5ZLcG4pFLBTA3hE6qv/483IQouq1YeGyom3kTs7xwbJIEH4jrH2ebnQHxjERuQmAjWfW79U+j4GtJ1Jy6Zo17p5JpaSO/MkonUKt1W2s59vzjbuSQrbHz2eamGAj/BxA0dsdRSTsR12w1gagI/xelIPcgimVEZlLPl+S3+uad4p2JMplWgDelBEBwFRPJKr3a4rBqGWZ0rU2LLy4I7GxJFvGbKmtUbY7dsDWRaF8AncLpj7Nern6tVgQQnCk6zUA0Jbn1jUJWjBPrM9KDSoZRT2zsYFSVXwcY7aKlSryJX1TxVTKAVvJzZcRAeCGm3ehbyCOTKaI+797Qvs8Zm76+GnJzRuNm5xqgCAZcNibdnLHAVthK7Fpk5oXx+GunwIAPLP+NdRt+Q5MFke6xtwdmzKvtrF4F/ymiVKthtmMeDDAZ5mIh+kAwdpVLSXSnBI5nbsFkwPcCSFNjc4aa3s8VDBZz9bMiVnxCP9QEoQA2VyJO8LPJOkzAuPXxgCCjov8Odi2h4qyuyOx87U9exRgVOVlBjR+TzJfq60O9vCwsZpBepmvPF1gjeLRJvkdsHVR8CZdmiPhpwUz3RazRYvR5WK2AGoDYcDCYvEklop6FPlouBtJfwQVu4aTG2L2pjccRswfQN22cSYtvj6hgA9BnwWAslu6kU5dPhkRoJNOr/7pawEA//GVY9rnXTNFb25PKMAWkzdUuZP0dZA7lxmoA8BU7AUImV3IVVcxndOTWsNWAHtjtAfpibSY3TINA5MJytYor0/UYUY7WPd0pcSIxGsLAPaomuRH1VNXrmTnIa+toal++AI+lIsV8Qh/wIehfiqz8gCByviVMT9rZf5aGwCAMQCQKIAaUJ3u6LNcjiAajNsQY+6E06yst5b/PdNpIm9Ms3qHFQ1FghiYoCqDLjPqxdgBWxeFSipLdgC2CjUHbJmJzt+YIsJWErtjLwIAPJn+d61zKCM25pwjLpiEEOzupsVeCUZjVA5qp2CmHRkxkdx8mYzFq3/mOhACHHtkGudn9J58GNg6MbMk7JEBGsyfEkw4uZNqC6g3mK3LFSbx4UCcNso/rZk7AHAkwXJH/hQ8pTCkZJFkuXOVLqMG1FKXK0kLvbY0Rvg9uJDaNE3X3FQmUblreziNzs1WIrzrQ9faUL8lkR/VBROJNQ9JiS7YUk8kLhQXuZYrDWNTgdfWqLqJ3B2w8JAEDWjuSNSwRtnO2AFbF8UZXWaros/c5B2wFbqMBRMAjiZ+BgBwcuNbKNf03h+bKntas2Cqrg/rvdFdRl0olFEsUskxkbw8zBYA9A924ebb6NLXr97zqNY5o71dSERDqFRrOHle3Gw8laRAdD6bQaEilk+7LgGohy4jUAeAIwkqQ5/JPohsRb0tAGjKnXVV7tDrI2NFgfZz50oMVjCXS8so11tlrMZaGpE5ZRteW8fVGxC2MsY1+oEaS5MFC6nZdKvg+gzp7Ej0Yt8WW0hdOyuUN/sCvbCIhXK9jNVy6+dn12ZGYPzK+ppkTeQMqC+fX0XeQw89427flnqZ+Q6zdYVEqlhEqiBOsi4fZV/WFd5UzVGoUp05ZHZd2ptTxGj4OiT8o6jUC3g+e7/WObrsxK6E01ypKJhdEVow13N6Tc5MQvT7LYTCmz+p2Rw/8/obAABf/+oTwoWszUEIwdFdVCp78oz45p10DBcBYFrilJ7wO7nTDlDfAgkaALoDExgOHYWNOp7WbJQ/7LCiJzfmpD1/LHeUDzLR9nLHy2HX+ROncSuOiBmGDRsLxdb1YIy5WS0UuPehCY0R/pG9gyCEIJvOIb3U/uLzyxWTh9RLhScVBVPF/DWc1sXfV+I0o9teWttj9AMkDqAuZLdMYmLQsQ/hTVyqjF/HR7pBCLCeKSAl8EKMJaNIDtA6JbNa2OpwG/ely8x3ZMQrJvojlHmQAYoup2B21ndzedkJQggOxO8AQG0gdOJg1ygMECwU01iR7HxkfTcqdiIRoaBDl51Ip+iXvisZvmwN4CxuuW0PEskI1tN5PPJjPQfpo7vozfvJM5I1INC7Pgyob1QKqGnusiw4uXO5mS0AOJKgjfIn1r+hxYiMhXsQ94VQrldxakNc3HYldYE6zZ2romer+iz3f9MRfiqn8Qpm2OfDcIz6sfHYm6GBLvgsE6VyFQuCZuFAKIDBXf0APDaRqMNsKYxbXeNXkdeWYocgAE8yW1TedNgtSZP8iGQikSj2awYDvsZaG40meS/lzoSGWS8D6nMSa5TtjB2w1RQTXRTRS9kJp8m5HXaiWKMg5nLLiABwIP5yAMBM/jEtOShiBTAVpatpnlqX3ARdZku+466LSUGa7MSGM3WUSFy+fi0WpmXgpa84BAD49tef1Drn6CR9knxKwmwBeteHgS0AyFQ0Zdba1rCiALA7+iJYJIB0ZRZLRT5YaI7mnr+nJFIiuzbz2axcZnVY0Y2rwfqhKrZTUbEvrEmex95YpoHRIXofkUmJronoSe+sXmES1cwJsbzJmLvVdA4b2dY82N3Ul8T7Oxr7J2Vgy7FZqE3D1nzo2ZJwwJZsInHIBVv83+tuhfErW0gtzZ393tuROOHkzupcClnBsvre7ijCIT9qdRvn5+V1ajtiB2w1xbjjcaPDbJXqVRRreqPDhSrru7n8BbPLP4yh0GHYqOPkxre1zmFS4lOSJnnG3KwVCtgoiYshYyfWc5rMlgO2urYAbAHAK159BADwg++eRD6nXgh9yAFbs6sbWJOYtbLrI8sdyzDd/Yi6MrQrQW8BUPebYUxFXwgAOLGhx4wednLn6bQYqCeDQcQD9HOf5UyRseiKsty58sGWLZl0U/UVyfySgKZGZ0nvzdg+5rXlnYnE4d0DMEwDhWwRq3P89x4JB9DXTS1geBOXEwm58SsDsovFJVRF0rY5BsAH2AWgLn+I2soglnpHosvcKewfhGt7NHr+XF8rD8mIka4I+ljeC5hRQohSht7O2AFbTTHuMFtnJOxE2PTDIiYAYF2DnajbNRSd/o2tAFsAcNCZLDux8U2t4w91Udr4aQmzFfH70RdmMquE+XPA1oZmwVzfYrC1/+AwRse7USpVtTy3YqEAJgdp8XvqrFhKZOzNWQXzF2dSYlUPjOa3YJK1OfZ3vQIA8OzGd7Q8tw67uSNmtgghLhiVbWjoCl89YAs1MbPVYF/4+bRH0SQ/qcNOeHCpsM/vw9AUZdFljFuDfWn9/H7TdO/TPOYv6UsiaARQRx1LJf7eTkIswKTDHV5aSO0am9bE76nZRZ7H7Kk8/3QmEt3c8RArCuixtUyGlsmk2xWeBVsf+9jHMDk5iWAwiFtvvRU//vGPhcd+4hOfwO23345kMolkMok77rhDerwoRuOsIIgLJiEEcZ/TyKvBTjAJESAImvG231MnsTf+EzCJDyul01guqneAMWbr+Pp5aS/RhMveiK9PnPVstQm2EonLN4nYHIQQvOJVRwEA37y3XSlRDLaY87eMuQGArjZyx7brDQl6i4D6ROQmhMwu5GspnMs9ojz+kCMjzuRXpZ+JscYyMBoPtwfUdWI77iMA5AXTYScWiwvcEf7dirU0k2N0pcr0jLhNQMd1ezuCFUzpCL+Cudsj6dsihLhSm2xtDzRYpC0Pt5fsDGzBg85AcAAEBPlaAeuV1gcXdm2m02mu8euExlobJiPOPbeAmsYg0VbF6D6N/ZojrEnee/YPngRbn//85/Gud70LH/jAB/Doo4/i2muvxate9SosLfGfVO677z78/M//PL7zne/ggQcewNjYGF75yldidra9Gw17YlLtR2Rga0Ojb6vgFMuAEYXhMGKXO4JmDLuc5dQ6ctCuaD9Cph/5Whlnc2KLA9bTNqPBTugWzA1nKibWFdI6fjPijldTsHXskWksL4mHAlgcccDW0xJmayJBr81SLoe8pC8p5uRORoPZKtVzsEFvmFsF1E1iYV/8ZQCA4xvfUB6f8IcxGu52jpfcBDXAaMxxkM8U1PKuTmzXfQQAUJuFbfM/R2+gBz7iQ8WuYrnU+n1jE3ezmQ1uLrnmjbP8hdUAMOk0FC+eXUbBQwMHOkuFVX1FuxXrsVRSGwC3b8v2UJM8zBEAPgBloMYHin7Dh74ANficL7bej0bicQQtC+V6DTMbrfdpBkYWljdQKPLbYPrHexEI+VEpVzF/hv9d2Y7QYWvdaV2BTL2d4Umw9dGPfhRve9vb8Na3vhWHDh3Cxz/+cYTDYXzqU5/iHv8P//APeMc73oHrrrsOBw4cwN/8zd+gXq/jW9/iA41SqYSNjY0L/gFoogJAuliU9iUxsKXT5FxkDc7W1jATLPY7BfO5zPeVk2UmMbAv7hh4rkvofa2C6YCtvF7BXE/Ta7gVDfIsBocSOHLtGGwb+P531FLi4UkqfRw/uyi8lolgyO1LkoHRBlBX5w5rjvcb4cuywFwUbKL1dOaHqNTVoPmQhpQ4oSEjusxWvrgp/lCX+z4CiO8ldIR/mnuOQQyplNgdCqM7SPOEZ7I8PpSEYRBkskXhCH+8J+aO8J874R05iBVMWfN1g9niS0HqHYnqtT2NhdRq5n+rghCzwbgJFlIDwJBj/8ADkxcav7Zen0Q8jESc5pYIzBqG0cSMeqfnj3ltyZktmhsya5TtCs+BrXK5jEceeQR33HGH+/8Mw8Add9yBBx54QOvvyOfzqFQq6HaegC6OD33oQ+jq6nL/GRujT4FRvx89IWe/kqQoMHZio6ouRI1psq1hJlhMRG6GRYLYqCxgqaRe33MwThP5+Ib4yzWmw2w5MmJGc6Js3SkW8S1ktgDg9pceBADcf99x5bF7hnthmQbSuSLm18RMGAOjvCdKFnGrHaBOX2urWC0WA8H9iPsGUbVLOKuxvofljhyos9yRyYgUrFZrdRTa2K3Ji624jwDiewkA+eqVS2iSb15rI7JIAJq8iTy0566dhdRzS+solVub3HcrmsBl1hpuuGDrlKeMX3VsKVRgUjVgobLXAJpzxztgiwHA2ecWUCnz7w861ijbFZ4DWysrK6jVahgYGLjg/w8MDGBhQe51xOLd7343hoeHL7jRNsd73vMerK+vu//MzDRuRmNdtLDJAEXMKZjZihpQuAXT2NqC6TOC2BW9BQDw3Mb3lMcfYAVTsiPRLZgSMBEL0YKZK5W1niwy6xR0xLeQ2QKAF790PwDgqSdmsLrCN6Bk4fdZ2DNM+2SOnxPT6mNxde5EHaCeraqZv+0CW4QQ7I6+GABlRlXBcke2X3M0TnNnNpNBjdNLAtDdmqZBvdZyAolDN7biPgLI7yWydTDDihF+VZO825siaXRmfkkyX6utDvaeVmbXkBNM9/YkIoiGA6jXbZyfb53unXKGUVYLeaSLrQ8tqrU2ABwGiQB2Gqh7SHIy1fLmsMRrC2iyDhHIrDoTiY3c8Q5Q7x3pRjgWQr1Wx9zzrYbAALVGGRt2hpU8trbHc2DrUuPDH/4wPve5z+FLX/oSgo6r98URCAQQj8cv+IfFWFwDUPgc9kaj76awTQUTAPbEXgIAOJX5nvLpbX+cPg0+uzEvbJJn12Y+k0G5xm+cjIao3GXbQFaj98ZltuJby2z1D3ThwOER2DZw/3dPKo8/MEZNIk/IwJbb8yeRWS0ndzSYrVItC4D2+2117I3T3DmT/RGqnLUyzcFyZ6GYFpr9DkQi8JsmqvU6d2QfoCCvXRn6coXOfQSQ30ukfklBecFUNslr2D80zCm9A7aiiQi6h2gxFMlBhBC3b4s3wh/x+zEUdYxfOddHtdaGvkYIMOn18ZSUqMNsKXKHrVY7pZhIlNkjTGgY0G51EEK0BizGNdYSbUd4Dmz19vbCNE0sLl6IXBcXFzE4OCg996677sKHP/xhfP3rX8c111zT0euzgnl+QywXRZyC2Q6ztdU9WwAwGb0VFglgvTKH5ZL8hjIZ7UPA8KFQK+N8jv8l7A2HEbQs2ADmMvzr4/dZCPjoIEC2KC+Y9bqNbIZew62WEQHgJS87AAD4/nfUUuKBcQq2ZDsSGRiV5U7UAepZDQm6WKOgJGhuPdgaDB5AxOpBuZ7Hubx8l2TUF3Sb5J8VOMmbhuE6o0uvjwPWc4rcUcV230cASCfdXCdwwQj/HkVf0oTGapKGZOedggnoSYnuCL+AnZD1bdG1NpTRlDfJs32EHmqSb1pILXpAHnJk0lQlhUKt9aGNXZvTa/wBikmNiUR3IfWJWdQFTPR2hM4DxKTEOmQ7w3Ngy+/348Ybb7ygKZU1qb7gBS8QnveRj3wEH/zgB3Hvvffipptu6vj1R3WkIKudgsmmEWMdv6dOw2+EMOlIiac2vis99oImeYEcRAhpuj6ygkmlxGxBzogUCg2pMRoTsweXK25/Ge3bevLYOaTWstJjG8wWn74GmnJHwopG22G26g6zZW597hBiYE/sdgDAc4rcARrslkyGZlKi9LsVZLlzaWBru+8jAJyCyTfWHAgOwICBQq2AdKWVCWV9N9PraVQ4LHLDL0nNbC2cWUL5EmXZzYyJg+pessbSZH7BnOpm7A3/8+vZP1BgI2MgtzwukDf5nz1ihdHlo98lHpicSCRgEoJspYyFbOt9jeXO7EIKlQpfoRiaGoDPb6FUKGPxrPgBc6ujvYXUO8yWMt71rnfhE5/4BP7u7/4Ox48fx9vf/nbkcjm89a1vBQC8+c1vxnve8x73+D/5kz/B+973PnzqU5/C5OQkFhYWsLCwgCwn0VQxEnOSOCPu44k6LuA5jb4bJgUFt6FgAsBeR0rU6b3Z74CtkxnxDWokRgGFiNkC9AtmdoMCDp/fRCDgU76/zY7BoQT2HRhCvW7j/vvkUuLe0V4YhGBlI4/ldX5eMTAxl8kIn0oZ2NLJHcZsbYeMCDRy53T2AdRsecP6/hiToWVgi+bOrCx3WM9f8dIa5IHtvY+AhABUgBp/K4PP8KE/SEf4eQVzOBpD2OdDtV7nytKsZ2tlLYucQHLtHkwg0hVGvW5j9pR3nNJ1lgqrCuYexVoaJrXx7BFYELPBInklCAk6DvfQkhJ5a4mo8Ssd1uFdn77mtTYL/I0XpmViZB99DS95tbH9mno+bfyVTtsVngRbb3rTm3DXXXfh/e9/P6677jocO3YM9957r9vseu7cOczPN5Lsr//6r1Eul3HnnXdiaGjI/eeuu+5q+7WbC4LoFxVpg9lqsBPbUzAnIrfAgIV0ZRapkrzZcZ9TMGWNziMaBTPiSEFZxdN0xpEQo9GtZ7VY3P5SKiU+8AP5LsCQ34eJAdprcnKG/6THZLJsuYx1gXUIW9ejlTvbDNSHQocRNrtRqmdxPv+49FjGbOkA9dktkBGB7b2PwGSmmeJJYNnUHCHE7b3hmXfGIkH0OEbAInaLEKIl2W11jGtMSbKCOTO3hmqtVcZSDRComsgBNHYkeslrC2haSK2RO0X+922v5PoQQlywrtfz553cmTjUkBFrgr7h8eEkCAE2skWkJSvWtjo8CbYA4J3vfCfOnj2LUqmEBx98ELfeeqv7s/vuuw933323++fp6WnYtt3yzx//8R+3/bqsYOYrFaSL8oLZDrMVMLbGIf3iCJgRjIRp38mZ7I+kxzY3yYuApk7BjASdgqmQEXPZ7Qdbt714HwBqcFpQvF8mJYrAVsjnQ0+I9p6JmNFIG8yWC9S3idkyiIldUfq9m84+KD2WSdDncqsoVPnXcSROv1tS1pjlzibJXtt1H2mALdmeO7n9wx5Fk3zDDVy9esVLC6lZwVyYXkZBYH482BeH32+hXKlhfpHjlM6MXzc2uMvNGRiZL4jvZW5/VH0Rdr0D9vJyhYa8qQKT6v2aGtOsHvTaGtzVD1/Ah3KxgqWz/A0KF1ijeEhK9CzY2q4IWJa7A1BUFMIO2MprFUw6nbVd7AQATDlu8mdycrA1Fe2HSQysV/JYKvHBFGO2ZAXTBVslecHMZuj1245+LRYTu3oxONSFSrmGY49MS4/dN0pln2dnxT0MwzH59WFAPV9rA6hvEysKALuitwGgQF1GyfcEYugJxGDDxvNZfl/bsIYEHXZyJ18SLBG+QoJYkwAAWwa2QmIpCGj4SYma5FVO6wAwtl9tIrrVkejrQlevMyww4IqiAAAgAElEQVQhAIGmaTTYFw4gYMavNvjGr4POWptcLYdMVTD9asQBg1q6yExEtzpIkweYKEaawCQv3JVGogGLJvNPUegY0G51mKbpTiROazCjMi+xrY4dsMUJxm6JpLJoGwWT9d34t4nZAuCyE7P5J90CzouA6cNkxAEUAilRdW2ABtjKK9iJrMNsRaIB6XGXMwghuPVF9Ob2o/vl5q/7x+i1OTkjtn9wr4+A+WNgq1irSPdQAs3M1vblzljkBpjEh/XKPFJlfv8Ri70xOuUnyp2RJiBaF0n0mrnj+XDAlqyIs7UyInNKxt7wZERA0/7BszsSddzA5ROXuyXXx2/40Rug10cuJaqtFrY82HuS5Y4D1JdKyyjXW5k9pbGpRhO5FyVooLGKSkeGlk3rbnXsgC1ODDkFc17AToRMPWbLtuso16lmvB0TZSy6/MPo9k/ARh3TCkfwvTH6JX4uw2cnmL/NYjYrLJhhp9ldJQW5MuI2MlsAcOsLHbD1Q7mb9L4RCrZmltNCMODmjsBLKmQ21u6I5DYWDWZr+3LHb4SaZGiFlOjkzqkMvym5PxIBAVCp17Ga5/dShAMO2Cpf4WDLlRHPCHNqMER7x9YrG8hVW/3JmIx4OrXG/a4xdkImBY06S4XPPzvnqWbhBuOmsedOtCPRXUsjmEh0m+QlYMs1ERUvDt/yYLlTX4Vd5z+0xa04ImYYNmwscIYAWL+fyPi1cW1XhebTbPFzZi2L9RX1DtmtCpY75zRWPu2ALY8HYydEckfYcgpCrSx2KAYcoEUTeTvZCaBZDpKvKtnjsBPPZfg3qIFoFAYhqNTrWM7xDSwbUpB8oox5bG032Lr2+gkEQz6srWRx6qR4eqk7HkZvPAzbBp6fFzTmKmREv2HBJPRrl1Mwo9s9XMFiV4TmznRODrb2umCLnzs+08RAlH4W0XcrEqRAvbAJ04jbGtYYAAOws0Cdz4SGzBC6/XTogse+jHcl4DMM5CsVLnhnfklzC2mUK3zZdXj3AEzLRDFXwvIMv8dlO2LMAYEyiUo1kchkVpF5p06TPLEaoNgrQYwoYND+UFHPHyHEtbfgSYlRvx9DzneNx24NDyZgWQaKpSqWBEAqGA6gf5zKrDIGcqujwYpKgLqGNcpWxw7Y4gRjb+YFI99hsyF7lWri3hLGTJjEv6WLhHnBwNZ09iHUbf4UBwDsjtGnbVHfjWUYGIhQ4LggYG8Ys6Xab5fNbn/PFgD4AxZuvJk+4T74Q7mUuNtZ2/P8nAhsyVlRQgjCDrtVlDBbdbvWYEW3qUGeBZOh5/JPSWXoPU25IzRkVHy3Qg6zVeTsxLuSghB/0wi/bKmwmH3xmSYm2Ag/p2D2dkcRCTsj/PP8rQWWz8LIXvoA5SU3cK2C2dSzxTV+lSxcBtQu/QAaE4leMjYFmiYlNRZSi3YkJsU9f5ZpYHSQ5pa058+DAxbjTs/W+ZNitlbHGmWrYwdscUIlIwZMCwR0h5usb8sLPTcshkKHEDRiKNUzWCicEB63J0oL5tncCsp1fsEbjMqnykJ+XbDl9GxFthdsAcCtL6Lj1g/+QG5wuGeEgq1Ts3yWYNB5mhTJiEBDSpQxW+V6gzUMmNubP1SGHkcdNeli6vFIL0xiIFctYaHIL/7u9RHlTsACoB6uuCKijaXC4qkyMXtDR/jpz89IWKsJp8dl2kNLhVk/0MzJOeEI/9hwEoZBkMuXsZriyKzOtREZv45oLaRmNgvTsBVeclsabCJRul9T0SSv2fMnk9oYA+kloD6ydwiEEGTTOaSX+AbJ0UgAPUl635zh7NfcjtgBW5xgBWExx3/6NoiBgEmLQrEm/oKyScTtloEAOsY/FrkeAHAu/4jwuP5gFyJWADW7jnM5OaAQXZ8QY7YEm9lZ5FwZcfsa5FncfBu9uT17Yg6ZDbG7++5hZxWGQEZkQHQplxP2tIUcGbpYEwMKxiBZJACTbL3h68UxySwgcg8Lj/EZFiYiFIyezvKlM3Z9RLnDeraKCqB+RYRGwWTshMh8kxVM3sQd0LR6RcJOTHhwR+LAZB98AR8qJfEIv99nYdgZ4ed9vqFYDCHLQrVe525tYEBWtNYGAGAMASQCoArUznb2YS5DEFOf2RLljjvNKsgdHad11ox+zkMyoj/ox+AuKrPK3hdjt2Y8IiXugC1ODEQcMCFpAmfsREGjYHqB2QKA8ciNAIBzOTHYIoRgt8NuPS9okmd9N7xVEEAT2FIUzFzOkRG30WeLRW9fHOOTvbBtSC0g9jgy4nNz/ALRFw6DAKhKmsAbuXNlAHWgkTszuUeljdaq3FEyWw4rWhT0IF1J0XAoV7MT4oXU8hH+ZrdsUTSWCstNjbcyTNPEqOtQruMk3/r5DEJcQMG7PhErIl1rA9D7XYOB9NLaHrXhasM6ZIHbO9zYH9k5szWhYUC7HdHWQuq5HWbLs9E8NbVW4D8RBTXAFpOC/NssA7EYD9OCuVA4jlKN39wOAFNOwTwt6NtifTdCsOXXY7ZYg3zEA2ALAG64mTbLPvqwuFl2atCZ8tnII51tzQ2faaLP6WkTsTc6ucN+P9tpGdIcw6EjMIkP2eoy0hXxDY7lzhkhs6ViRR3GWJE7V0RY6nUwrGAul5ZRrrfmw95u+cSdDjsx0bTixEsTiTrWAsx8UzSRqDJ+la21ccOVEj3Ut+XaP8zAtvn3ib5AH3zEQsWuYKXUCpjYtOb5jXWu8Wsz2BLlBXP7Xzq3ggLnfrddMX6gsShbFOzznd8BW94Nn2miJxwGQNktXoRM5wlcxk44BdMrzFbcP4gu3zBs1DGbf0J43FSUUrQiKajfARNLChlR1eSc84DPVnO4YOshMdgKB/0Y6qYThyIpsb+JGeUFY7bkEjRb1eMNZstnBDEUOgyAsluiaOSOnBVdzPLBftCvlztXRLgO5Uuw6/zekgtH+Fuv2VSyGwTAWrGAtUIrU9q81qbGWWsDACP7hmnv03oeqx7pXwGAiYOOX5KkH2hyRM6+yJgtoKknTmL/wBhITy2kNgYcebMGVKf5hxADA26TfGtfWk84jGQwKDR+ZWttMtkiUut8Fj7eHUNygLKDXvLbcoG6VEZ0jFvnd2RET8egSiozNfpu6t5iJwBgPHIDAHnflorZUl2boJ+yE0oZ0ZlG9Aqzdc31EzBMgrnzKSwIprsAYGrI6aMR9m0pro8L1CWsqMeYLQAYCzu5IwFbuxywNZ1b5kobrkSfy3Kfphv9flc+2KIj/LQYiiQqOsLPpMTWghny+dytDTz2pnmtzcIyf4TfH/BhcMrZB+mlgtnWQmr+d03VBD6ktSPRezIilTcZ43Ypa3scMMq5PoGAD4N9bK2NZG3PQSZDe6fnz93bKAPqDivKW/e0HbEDtgTB2InlPL9gBgw1s1X2WN8N0Nx785jwGFYwZ/Nr3IlE99oIfLYCPgq2SpK+G9u2m3q2vMFsRSIBHHCemB6TSYlDzgTYAv8G32D+BOyNA7ZKOj1bHgJb486Axfn8MaF9yGi4BxYxUaiVsVhsvckNROnnKVaryJRbpzGDTu5UqmJ7kisqNCQqZcFkFgecgmmaBsaGqFeXvGB6b89d81Jh1Qj/aiqHDGeP4m6F8euwlv0DA1tnYEtscbY8WO7IJhIVMqnK+NUdsNBaSO2d3GH5vHx+FfkMX97s7Y4iHKLWKF6IHbAlCFYwhXKHlozorQZ5ABgNXwcCA2vls8hW+E3evYEYolYQddjciUR2bXKVCjIlTsHUsH4o5Muuc7FXmC0AuP7mSQByKXGXy2zJwZawZ8sB6tKeLUdG9Eq/HwD0B/fBb0RQqmexXOQ/bVuGifGIA0Y5MnTQ8iEeoOCa991iuXPVhFMwZRLViAsI+BYFrEleZN45qbGQmvW4eInZGtk7CMM0kN8oYEXQkxWNBNDbTR/ueIBgoisBS2L82lhrs4QKZ60NAMAcBeAHUAZq3rk+RCN32OcT2VvsdnvaBDsSXfNPNVCXMZBbHbFkFN2OT5gIBBJC3J4/L8QO2BIEW0YtYicCjJ0QfYHR1CC/CWDLrq/DLj8EuyrfT6eKoBlDX5B+iWfyfHaLEOLuSOQVzIjfj4iPfv5lzsSdDrPFWC3TNBBwmqI7jVq1hrnnF/DE954RPuXoxvU30b6tYw9PC9dY7HKa5KcX5WBLyPw5uSPyMQMaMuKlGpratg27noZdOQG78swlNUgbxMSos7pHlDsAMBlpSIm8cK9PvvX6sNy5WoJoSUGOjKjYkXhawE7oLKRmBfP8s94xp/T5fRjZS8GC1lJhDpj0mSYmHeNX3vVJ+BIImSHYsLFY5PegEmICrpO8B5vkNaZZ54vz3O82m0gUWoeMqJ3WGbMlM6DdjnBlaI2ePy/EDtgShKwgAA0ZUUsKugR2wi59H/XlV8Jeuhn22i/CXrkD9dVfgF34144L51iYyUGPC49p7r3hRZ8LKFrZGyYFlas1IWBp9GsFaH9CB1EpV/CXv/1JvDb6S3jL3t/G77/0A/j50d/EX/72JzH7nEQ2kMTBwyMIBn1Ip/M4e4b/2dlE4mIqy93/2BdmErQ8d4qy7QObANTtyrOwV38W9tIt9N+r/wn26utgF77UsYEj69uSy9AUqE9nBbkjeZAxDAKfZXb03jwZGk7gjJ1YKC6iygHgjYXLCvsHDSdwL0lBADB5WKf3Rm7cKutLIoQ0pDbZjkTXSV78e9rysOjOVipv8r+vg8EBEBDkawWkK619psz49Uw6hWq9tYdyQktGpLkz//wCyh7yv2P+cdKF1GM7YMvzoWYnHPZGg53otGDa+X+CnfoNoDZN/4fRC4AAlYdhr/8B7I33dlQ0R8JHAQBz+SeFx0y6BVM+kchltvwNdqIs6L3J5Zh7fGf9Wunldbz7Jz+Iez52LyrlKvxBH2LJCPKZAu752L14+w1/iGPfeartv9fvt3DwCL25PPU4/0scCwfRG6fTqtOcvi1V7vjd3NHp9+swdwpfgb32RqB6kv4PkgBgAdUTsNffDTv1a7Dr/AkkWYyGrwUAzBWeRs3m5/6Ew4qqmK0VERi9mtgtVsTrc7BtPuva7e+G3/CjZtewXGoFFHscGXEuk0GOs6B7oomdEI7wO2BrdS51yezvZobOQupJlf1Dt1wqGwo5E3uyvi13IbWHwJYxBJAwgApQ4ysaPsOH/gB9MOZ9Pmb8WqnXcW69FYwxGXFpNYN8gd/W0DOURDgWQr1uY/558e7YrY4JjQELBtS9EDtgSxC9jvXDpTFbbLdd+wXTzn0S9sZ/BVADgj8L0v8gjP4fgvR9F4j8FwAGUPgi7PQ7YNf571EUw6EjAAjSlVnkqgJ62SmYZwUu8oyd4AGK5mIpkhIvZRIxnyng9178Pjz5/eMIx0J4/xf+AF/J/j2+sPwp/MnX34fDL9qPQraI977mf+D7/yJfnsyLo9eOAwCefFws2U467BavSb4vQnNnJZ/nNu1q5c4l2IbYhX+Hvf77gF0A/C8E6bsfxsCPQfp/CBJ9Fx0pL/8IdupXYdf5E2yi6AlMImDEULWLwr6tRu7wwVavJHcAIOi7epgtYnQ7QBfCZccGMZrcwFsLZjIUQk+I5tTpdKt1w9hQQjnCH01EkHDc2L0kJY62sZBaxNw1dgAKJhI1mC2i4Ym21UGIAZiT9A+SRdkjEnsLgxBp31Y8GkSyi+aWCMwSQhomoh6SEtkaKh1W1AuxA7YE0ec+fee5T4t+HWarQ1NTu3oaduaj9A+Rd4B0/SmIQSeOiDkII/a7IIm/AhAESt+lLFcbkmLAjKI3QHsU5vJ89mc8TJ3Sz+VXuH93n0RmtUwDpkGlQTXYap/Z+vQHPo/ZU/PoHenGnz/wP3D7G26FYRgwDAM33HENPvLND+BFr78FlXIVH3zjn+Hhr4vlUl4cuZZ+iZ+SgK2JAfr7OLvYWvxYYazZNlIcU9xAG8xWu6yoXU/BznyQ/iH8iyDJT4KY9MmXGAmQ6G+BJO8GSByoPAp77VeEpom8IMTAsOO3NVfg5w5jtlLlHNLl1uLPwCiPFQXomparKtqQEkXsyx7X3LS1YAYCPgz1q0f4dVy3tzrG3YXU6rUr80vrKHFkLPfaCGRW1bUFoPU72pbQWUgdUkwkul5kImNcpwdVmjvek6HZe1o8u4JSgb9ndrAvjo++/86tfFvC2AFbgmDMVrlW446oBwxnRF2ryVm/YNq2DXvjgwAqQOAnQKK/y+1pIsGXg3TfDcAHlL4F5D+t/RoAMBxypERBwRwOJ2ESA8VaBculVvaDAYoVRcEsi8BWhzLic8fO4Et//lUAwLs+8VuYODTW+toBH973+Xfhjl9+CWzbxkfe8hdICRaW8uLA4RGYpoHlpQyWFvjnTfRTsHVuuZWa95kmkkHK2PGuD2O2KnXxmHmn/X525iNAfQ2w9oLE3kObfy8K4r8WpPvvAZIEqk/BzvxZW68xHD4CQAzUQ5Yf/QHqDTWTb2VGGbOlyp2rJiy1RKViX1QFs7G2R9J7c8B7I/yM2UotriOb5jOdya4wYtEgbBs4xzFlnXKYm9UC3/i10bPFX2sDoMEg2SnYde8YvxKWOzUxsyVjRYFmMCoAWxpN8kzu9RIrmuiLI5qIwLZtzJ7iy5umaeDIvuEtfmf82AFbgghaPkT91LiUVxT8TAoSgK26XUPFLjrHtlEwS98Gyj8A4AeJvU/aPE78N4DE3g2AFlm7rM/gNAomv2/LZ1gYDjmAgiMlujKrqKfNaXIWMVv5HGVTwm2ALdu28Ze//UnU6zZe8sYX4OZXXy881rRM/N7HfwOTh8eQWlzHR97yF6hzGkR5EQr5sXc/vYGJpMRxCbMFNEllHObP7wD1kqRBvlzLO8eGtd4zANjlh4HCFwEQkPj/A0L8wmOJ7wBI14fpH/J/C7v0Pe3XoTI0BeoiRnXMWUh9KblztYQrUcn8kjS9tlRN8jJ2gi0V9pI5ZSQeRs+wc58RsFuEEJfd4oHJsM+H4RhdIcYDo33BPljEQrlexmqZf32IEQYMpyh7yNwU7kLqzvdrTqnsHzSmWceY3OuhhdTN8qaX3pcodsCWJGTsjd+gBUHEbJWbmo/9pl7BtO0aZSYAIPIrINa4+qTwLwOBVwGowF7/fW1JiBXM5dLzbmG/OMbCziqQfOuXlBXMVcHuSDZRJmyQ72BVzwNfeRhP/+AkguEAfuvP3qI8PhAK4L3/+HsIhPx4+GuP40v/31e1X+vwNbQwPf0EvzCN99E+nJnlNBdwuNeHkzs+Re4AncmIdvbP6X+E7gTxi4EoCxJ8GRD+RXru+h/CrokLdXP0B/fBJD4UamnhnsRxrdzh591VNY0INBVMGbPVaOLm5dMepTmlxlLhw95zAgcacpCOlCjyg2JDBFzjV2JiMEgd9OVSohd3JDZyR/Rgw3InXVlHvtr6nWLX5nSKP0Cxa0y9zHzco/s13dyRDFh4JXbAliRYUeCDLTk7wcCWSfwwiaZRY/kHQO0MQLpAIr+pdQohBKTrfwJGP51Yyf+91nkxXx/ivkHYqGO++Az3mDHHnHImJymYiokyEdhyma2wPtj6t//9DQDAz77jVejTbHzcdWQcb/9/fwUA8Jn//s9YX9FrCHf7tp7gTySO9HbBIASFUgUr663XoEeSOyqfrZpdRdUuOcfqgS27egYo/wiAARL9L1rnAACJ/d+AtR+or8HO/aXWOZbhR39wHwBgPv809xjGbM1ImK21QoE/QHDVyYhqh/KB4AAMGCjWi0hxRviZ/cPZ9TTKtda/Q7XWBmhMb80/v4Ayx7Jku2Lc7QfSaJIXyKS7FROJjP0RmX8CaDKgPSV/w1sZ1i4ABmBvAHX+sFLYCiPhoz17vCb5iQQ1fs0JjF/dhc3zKVQq/Pwc2TMIy2eikC1i6Rz/fWxHuNL4CW89QPBiB2xJoiccAkCLwsXhU/RsdTJNZhf+hf5H6LUgRkz7PGLEQKK/R/+O7Mdg1/UWb7pykKhgOk3yPHaiO9RgtnhPOoydEK1dyeXba5BfmV3FI187BgB4zdvu0DqHxWt+/RXYfd0kcut5/P1//4LWOYePUrA1fXoJ2UzrmhCfZWKom/6OZjh9W90hSe44fVQisFVumi7VZbbsgvO5Ai8BMfV7FAgJgMT+iP4h/3kK2jSiWUrkxajDbJ3Pt+ZiMkivTd22kS7yr+1VFeYIgACoQzm/KPgMH/oCdLCA1+g8FI0h4vOhKhrhb1prk83xm4WTAwlEExHU6zbOP9uZD93lCHcdjKRgqlzy9yjMO1VrbQCAuL5W3mG2CAk4+QOtAQve5/ObJsa7KBjjMX/Na21mBIvKLZ+F0X1swMI7wKYhI+4wW1d0NGREcd9NWdDk3JCBNCXE+gZQ/CYAgITe0PZ7Rej1gHUIsDOwM3+udcqQM1U2LyiYDRmx9Ummp2mAIMvx/vErZMS8UxB0e7a+8envoV63cfT2gxh1XKd1wzAM/MafvhkA8JWPf106Zs4i2R3B8GgStg088xT/5jImaZLvCYmlMr8CqDNZ1yJBGJwG94vDtqtA4csAABJqf/KGBG4DAi8FUIWduUvrnGE3d0RAvSEjXgzGfaaJLmdlD09m9V9lYIs6lDM5SMyayEb4CSHSJvnmtTbTAqmNEKLlur3VMdEkUQmPcZq4Z+ZTqNVaey8bXlsCsCW5tm5ouP1vS2jsSBwKqrYQiO0xCCFNxrhqKXH6ae/kTsPdfla7J3e7YgdsSYKxN7zxfVXfDZMRtRuci18DUKauwdbhtt8rISZI/L30D4XPaZnzDYUOAQAWiydhc6Z0GDsxm0+1FMywz4egRUFDqsi5PozZEtDSrvWDBtiybRvf+Mx3AQCvfMtLlcfz4oZXHMWtP30DatUa/s8ffkbrHNa39cyTArDV5/gWLbdOLEqZLSVQZ7kT0nqfKN8P1JcBoxsIvEzvnIuCxP4QgAGUvgG7/JDyeAbU18rnUKy1SrMjYVr8stUi1iut14B9t3jTY/6ryGfLDY3VK0Ns9YrI/iEptzhoNJHLdiR6b4SfOZQvnF4UypuDfXH4/RbKlRrmOZPFrC9pNrOBfKXVHmKoaQBB2HPEfkf1Jdj1Vrlt28J5X/YlLDPfo71fU6yKTHhwIfXQrn74/BZKhbKn5E1e7IAtSegUzIqgB8MtmLo9N8WvAABI8LUdr68h/luAwMsB1GHnPqU8vicwCYsEUK7nkSq3foGGQgmYxECpXsFKqfXmI70+DGxx+kuABrOlA7aee+wMZk7Mwh/04fb/61bl8aL4jT99MwyD4EdfeQRnnlLvmDx4iBaBk8f5FPVoU5P8xdG4NpIG+c3KncI99D+CPwOi2x94URBrDxD6Ofr3ZdW9WyGrCwmf43NTONny86DpQ59j/3CeK0PT68MbsPCZVx/Y2pSlwgr2Rsv+wZXsvDO9lRxIIJak8qao0dk0DYw7U4vTnM9HjV9pTvGkssHgoLPWJo/1Cr9vkxhR2vsKeEtKNBlQV+eOEKh3ywcsJtyVSOqF1F4CW6ZlYmQf/exeYmt5sQO2JCEHWypmi8mIanbCri0BZcfpPPjTnbxVN0jk1+l/FL4MuyZH+gYx0R+kfQoLxRMtP7cMEwNBh72R9W3lW6+PUkZ0erZCYbE9AYvv/OP9AIDbXnsTIl2d7wocPzCCF73+FgDAFz/6b8rj9x2kX+KTx/lPw6O9jNniyIhh8bVR5U6pDQnatotA8VsAABJ6nfJ4WZDobwIwgPIDsCut+XBxDIT2A6DMKC8Yu8XLHWk/5FUmIwLQkqhGgvIRfnfiTjTCr2FO6cWCeYG8qbWQWrAjUXJ9/IYP/awnTiolqhnILQ+dZeZO7iyVllHmmCUzCVrMiqplxAmPTiS672sHbF250ZA6xE3OvOWeQJt7EUvfBmADvmtBrFaTzrbCdyPguxZAGXZeLZcNBJ2CyWEngGYpsfWJiD1JSmXEKv/6tLOu58GvPgoAeMmdL1Aeq4o73/VaAMC3P/t9rAqaQVlM7RmAz2cis1HA/GzrsYzZml0Ry4jca+PmjoDZame4ovwIgCJ9IreOqI+XBDFHgOCrAAB2/m7l8W7uCMDWqAO2ZgviJnmuRG9dhbelJlsBnmQPNHb4bVQ3kK20Lnjf3WROyZviZAVTtHYFaMiIs6cWUBOwztsR7lJhjdUr6olEwdoeV2qTTSQyE1EPOcm78uYy7DrfZLnLF0fYDMOGjcXiYsvPdzcZv/K+c0yCPjeXQr3OB1Ije4dgGATZdA6pxdYHzO2KiYPO2h4PPUDw4iq8q21eJEMUCMiYLfFEmX7Pll36IQCABF7aydu8IAghDXYr/1nl3kRtdoJXMGVSmUlTq1IVmZo6DfIKZmtldhXnjs+CEIIb7jgqPVYnDr1gPw69cD8q5Sq+/Bf/IT3W5zMxtYf685w83vo0PNJDZbKNfAkbuQun6hiY2CiVWqRUdc9WG8xWibJ+8L+oY/m5OUj4V+l/FL4Cu9Z6024OBrYWBEB9JOSALd5EogyMXoUyIsxxAD4ARaDGL/ZBM4geP71mvEbn8a4EfIaBQrWKuUyrFMaYrbmldZTK/O9d/0Qv/EEfKqUKFs7wl8z//+x9eXxU5b3+c5bZMplM9oRAICxBXJBN8VpsxSuCrXLF2tZ9weuOAqblKmobrFfx11artqi3Ktq6VNpe7b3uUi6gVShVQKUqFWUTshCyJ7Of9/fHOe+ZSeYs70kycwZyns8nH2Xyzpk373zP+z7n+W52YIxacFVf2TJT7swKv9KMRKNaW0mXXe4oW7J7U0kK0lG3OI5LidtKt68+hV811mdERRAuUUA0GkejRgwqALi9blSOld2sOdXyiQbuO8rWkQt6YLaH08sbiArZiuvG3ciHiFncDSGSUh8JgPtfBjPdJDxz5PYTpEOpKK4PemC2RL5EgqTLz/TAPNibruwk1Yn09H1RIVtxjcyhRFxCJCIfBmalH7avl7PdameMQ6Ao33AsK5S4mZgAACAASURBVL7/Q1ndevXxt9HbpV2UlYK6Er/Ymb5B53ndKCmQCdGBw303qKDXC0p9OiJ9U/FFXlkbM9thUrY2AQA4zyzzsQzg3FMA13QAMRCTmm1l3vHgwKM30YruWLprhxJ1LdtRlT+NBxlqO0cTOE4ExDHyPwxarySrgacfmCLPo6ZQjlvSUm9KCv3Iz/NAkggONGqrtoIgqCn8X+dQIchkLJn+nFILt2q5sWoNMu6ApHLYENZu7QIgxY2YQ8oWkKKM6mezmlWSn2DQsFsUeFQrMXFGMX8sBWizjVQ3Yi65N/vj6NvVhhD0QIhJUlp5A1NXEGvMVvyfAGkHuDzANXjlBlAyE/1yhXUS+qOhAQZdVfDwASRIDIcje9J+X5Un34CariBF+dNSJ0TFjahFtmi8FgD4TIqabv8/uSzF1DMG5yJLxan/dhKqJlSiu70H7/xxk+HYY46VNzC9IPmqEjluq78rUeR5FCjlDfoTCqqKJoik2auN1XaI1A7EP5P/MVREHQDnV9St3jWGHQlcvA/FHplANIf/mfb7Kp++G7HQa+6CPuogyM3fWSvJa2G8QesVjuNS1B/9A5P2IzQiNtnGaKVe0sFdjYjrtPiqHlEEQeARCsdwqFXfzbq3o10zMYdF2VJLdCT2WWrQnnGoGYn6tjPSSxMstImQmZuVuhL1SocAbAVos42RtZUQRAG9XSEcMohXtBsO2UrBpk/39Pm3z+WCR3Fp9C++aK5sUTeiiToR3SL/1zXdsJedZXjPBeAG4juBuHYtJEDeoCuUauBarkRV2QqlPykXpih//WGkbFEXotstwmWS5v/RRnnuU8+wXg5DD4Ig4NtX/ysA4K1n1huOnThJ3sB27WzUjGWgrsQDGpXp9QiFmFI7K6FJthizEaN/B0AAYTw4odx4rBV4zgT4CvkhIGK8PuWq7aQ/cVOi3hzuTEsGoI26jVTRow4MDanVrDId9cWseCdL+Qfa5+5rhnpz2ULpqBJ48zxIxBO67k1RFDCyQo6T1FJfzAq/0pittlgbQgkdRZsvBzg/AEnuyJEj4FQSaNCQmtF29BtSK3FbRj0SqbKVQw2pXW4XqibIDym5pLj1x1G6qw0Muw6ku0L0YktEjrqCdALkGWO2aE0jzn2ytcmagOODgHeu/Bkh46rp5T75wGwOaakT8oF5ONKFcKLvkx7LgamtbNFWPcbksnnfITTubgYv8Dh+1iTDsVYx5/Jvgec57Pjr5/j6C/0n3dFjSuHxiOjtjeLrfekHWJWSkXjwcHqcA1X+0oh6CtnSSrCgbkSXmbJFibp74OUwtMBxAuD7N/kzaFcDHVQo2azNGkS9xJ0PD+9Sgnb7rk+SqA8fspVsSG2kbNED0ziFf5fegam62syD5HOp/APP86riZtTnjip3WllzHMclmy5rrI9f9CPokh+OGkLahITjOCYFMutQ52TkgpZtpzHcpKmYG6miQEpLJIaG1LnkggZSGmXn2LxScXTuagNEQ2t6LalChVB06Clbuhll5mSLEALEPpD/McRkCwA43wXy/4ReBSHaLTwAoNxDD8x0daLA5UOeIJOixlDfp0WjA5MGOWvJ+axlHz5+R3aRTZwxDnkBxgKfjCgdWYIZc6cAANb+doPuOEHkMb5WfmrSitui5R8Mla1+bkQaswVo19qKsRY1VcjWUBN1IKWLQeQdwxIiVNlqDn+R5q6Wg3ZlJaJ/3JaRC/qoDJAHUqrImxenbIkcRiSRfs8mK4HrFac075GYWmYhl2JcaOsV40ryxkHyE9Qq+3pB8voxcSoYvqesQ1W2vtbdy0vcJXBxLsRJHIcih9J+T4m6XuHXpCpqrmw17T2EcK/+mZJtULKVS+7N/shZsrVq1SrU1NTA6/XilFNOwZYtWwzH//GPf8SkSZPg9XoxefJkvP7665Y/s6lNn2z1JxSComxpuYEARmUrsReQDgNwA64TLc/XFO5/AfgquYlpeK3uMOpGbInsRlzqq15xHIcRirrVkEa2FCIaSSdbAm/kRpQ/w2dS0HTHuzLZOuG0Yw3HDRTzrpKrra/93UbDNPjaSQrZ+jz9aZj2R2xs0yJb8vp09guQp7YDAAlNskWVLQOiLnUCcaUWVibIljheKSGSAJSCu1oo9YxTguTb0BPXyHJSbKe/GzrokdemOxpNU/eEIVS27NhHdCEoB6bUopvCHxAD8At+EBA0aqTwjy0sAgegLRzWbHVEydb+g62abW0A+WDieQ5dbbmVwl99jHnwtZmrK6neDLxtD0sB2qyDLwW4AAAJiO/RHsLxahKAVlxasS8PxcoDoJYbevTIYnAc0NEVQltHum0BQLC0AAUl8p6XS+oWJYFf55B7sz9ykmytWbMGdXV1qK+vx9atWzFlyhTMmzcPzc3avvz3338fF198Mf793/8d27Ztw4IFC7BgwQLs2KHd808PjW3pQZf0UNBzBZm5EQ1dQVG5fhRcJwxtvJYC2R10PgCAGGQlBlwV8PIBSIijNbo37feVijrRGNYmW0auIC2yFWJ0I+54TyYTJ5w2tC5EilP/7SQEivw49PVhbP3LJ7rjao+RN+h/aihbI5SYrYbWrjSVgK5Pf/WG53jwSq6ikRvRUNmKbYMcrzVmaOO1UkDVLRJ6SVcBcfFeFHtGA9AOkteznaA3WV+tPxlNVf4GA7v2ET3IKfxyKRE9F5X8cKNPCHwuF0YWyDanWSndpK0NAHh8HlSOk+eRi33ujBpSj2GstaWn/I0wqdIPQG6ZBhhm/mUbHMextXzyGpPJcQZB8l6PC5VKC7Ld+/XVbJr9x9KFI1uozsE2VP2Rk2TrwQcfxLXXXouFCxfiuOOOw+OPP468vDysXq3dgubhhx/G2WefjWXLluHYY4/FPffcg+nTp+PXvzZvO5KKprZO3QNT70BIEEnzIKJky6gwJYl9KP+Pe4aleVoBp5AtRDeDSNrp4BzHodQrP3W3hNMPgRH0wAxpH5jRRALheF9ZmpKthAaZYHEj9nT2qgUOj/vGMbrjBgO3143ZF50GIFmlXgvja+WDafeXzWnfdUWR/JQXisTQ2U9Wp0S9I5wut1M3tFZsBYuyhdin8n8zoYhSeL+DZJLFZ7rDVDd0JF0JoMpWf9sReR75bvn7T3PRD5GyZdc+YgiGA9O89Yq+q8ysrQ1Fshp47hxOo1PciHrknipbh9t70NWT/pCX7B+pXfh1pEn/SQApZRZ2g+gkQNkC1ZVo1F9TKW+h8/fVmlSSH1tt3vKJpXF4tkHjEA8fbENPp7YqZzdEuyfQH9FoFB9++CGWL1+uvsbzPObMmYNNm7TT9Ddt2oS6uro+r82bNw9//vOfNcdHIhFEUshTR4f8BDh9XDkOHW6D151clhqfD6eUlqGQ49DZmXQVheMRTPOMBM/xaO/s6OMaAoCSxHGISN2I9EjojGj34iI95SDRE8Dxx4Ij2mMGj0JI4ckAVwKu/SA4nbT6wsREhBJxRHs4dPJ95zIKBZjiqUIw7uqzBoQQTC8qht/tRktbGwo8SbWiLN+FGWPLUJ7f9z0A4PYSnDhtBEbXBNN+R9FyoBUnnzcVHc2dELyc7rjBYsY5k7HpzS0oHl2o+xmFxW6MGh1AdU0pmpsPw+frSxKnjy2F1+1Gy+FWcIlkLbARbjdOLinFCFf6Gkz1jESCSOjt7kFnrK/tBOLjICW8kHpEdGo0eQYA0hsACU8Dh2PBZWhtAA5S9JuA1A2uswOcS/tzAvGxKE5MAtfrT/s7K0geJrsrUUnSf3dySSlikoSeri50psRpBdzAlDGl+BgYcExRNvYRQH8v0bMlEj4eJBoHx7vAxbXHVErlqOHGwBPxaF7n+EAhekpK4YknNH9/3PgS5Ps4JOJh3XmMnT4anZ0dcAfSbdMuBCrzUT15BEbWjsChphZ4dcrCnFBbgvw8L5oPHQZJBPr8rpDjMdEfwJjCIBoPH1YJPUV+NB+VUgWqSBU6Ojo0CwETUgASmggIo8B1NILjA2lj7AAJTQQJTweHIDhJ+zsri5diNKoRjBVofq+1/nzMKCpBEcdr/n7C6EJ0dZXBLUq6dlF9YhUmnTYBgfK8nLEd8MAxs8ajoCQfzQ3NKEGx+is6R9vjE0mO4cCBAwQAef/99/u8vmzZMjJz5kzN97hcLvLCCy/0eW3VqlWkvLxcc3x9fT0B4Pw4P85Pjv/s378/Z/cRZy9xfpyfI+dnoHvJUCHnlK1sYPny5X2eYNvb2zFmzBjs27cPwWDQxpnlLjo7O1FdXY39+/ejQIkZcdAXzhqZg3WNCCHo6upCVVVVFmdnHc5eYh3OfWIOZ43McaTtJTlHtkpLSyEIApqa+mbiNDU1obKyUvM9lZWVlsZ7PB54POkSdTAYdAzbBAUFBc4amcBZI3OwrNFgyEo29hHA2UsGA+c+MYezRubI9F4yVMi5AHm3240ZM2Zg3bp16muSJGHdunU49dRTNd9z6qmn9hkPAGvXrtUd78CBg6Mbzj7iwIGDXELOKVsAUFdXhyuvvBInnXQSZs6ciYceegg9PT1YuHAhAOCKK67AyJEjsXLlSgDAkiVLcPrpp+OBBx7AOeecgxdffBEffPABfvOb39j5Zzhw4MBGOPuIAwcOcgXCihUrVtg9if444YQTUFhYiHvvvRe/+MUvAADPP/88jjlGLgHw8MMPQxRFLFiwAABQXV2NY489Fj//+c9x//33o6mpCU899RRmzZrF/JmCIGD27NkQxZzknzkBZ43M4ayRObK1RnbsI4BjAyxw1sgczhqZ40haI44Qu/MhHThw4MCBAwcOjl7kXMyWAwcOHDhw4MDB0QSHbDlw4MCBAwcOHGQQDtly4MCBAwcOHDjIIByy5cCBAwcOHDhwkEE4ZAvAqlWrUFNTA6/Xi1NOOQVbtmyxe0o5g5UrV+Lkk09GIBBAeXk5FixYgJ07d9o9rZzF/fffD47jsHTpUrunklM4cOAALrvsMpSUlMDn82Hy5Mn44IMP7J7WkMPZS/Th7CXW4Owl2jhS95JhT7bWrFmDuro61NfXY+vWrZgyZQrmzZuH5uZmu6eWE9i4cSMWLVqEzZs3Y+3atYjFYpg7dy56enrsnlrO4e9//zv+67/+CyeeeKLdU8kptLW1YdasWXC5XHjjjTfw6aef4oEHHkBRUZHdUxtSOHuJMZy9hB3OXqKNI3ovsbUzYw5g5syZZNGiReq/E4kEqaqqIitXrrRxVrmL5uZmAoBs3LjR7qnkFLq6ukhtbS1Zu3YtOf3008mSJUvsnlLO4LbbbiOnnXaa3dPIOJy9xBqcvUQbzl6ijyN5LxnWylY0GsWHH36IOXPmqK/xPI85c+Zg06ZNNs4sd9HR0QEAKC4utnkmuYVFixbhnHPO6WNLDmT87//+L0466SR8//vfR3l5OaZNm4YnnnjC7mkNKZy9xDqcvUQbzl6ijyN5LxnWZKulpQWJRAIVFRV9Xq+oqEBjY6NNs8pdSJKEpUuXYtasWTjhhBPsnk7O4MUXX8TWrVvVti8O+uKrr77CY489htraWrz11lu48cYbsXjxYvz2t7+1e2pDBmcvsYajcS+pqakZ9DWcvcQYR/Jekvs17h3kDBYtWoQdO3bgr3/9q91TyRns378fS5Yswdq1a+H1eu2eTk5CkiScdNJJuO+++wAA06ZNw44dO/D444/jyiuvtHl2DuyAs5ekw9lLzHEk7yXDWtkqLS2FIAhoamrq83pTUxMqKyttmlVu4uabb8arr76K9evXY9SoUXZPJ2fw4Ycform5GdOnT4coihBFERs3bsQjjzwCURSRSCTsnqLtGDFiBI477rg+rx177LHYt2+fTTMaejh7CTuOtr1k8eLFmDp1Kg4ePIipU6fi/vvvH9B1nL3EHEfyXjKslS23240ZM2Zg3bp1ajNaSZKwbt063HzzzTbPLjdACMEtt9yCl19+GRs2bMDYsWPtnlJO4cwzz8Qnn3zS57WFCxdi0qRJuO222yAIgk0zyx3MmjUrLcX/n//8J8aMGWPTjIYezl5ijqN1L3nkkUcAyG7E7du3D/g6zl5ijiN6L7E7Qt9uvPjii8Tj8ZBnnnmGfPrpp+S6664jhYWFpLGx0e6p5QRuvPFGEgwGyYYNG0hDQ4P609vba/fUchZOBlFfbNmyhYiiSO69917yxRdfkOeff57k5eWR5557zu6pDSmcvcQYR+pe8vbbbxOe58lll11mOG7MmDG6v7vmmmvIwoULLX/2YPcSo7kPdE524kjeS4Y92SKEkF/96ldk9OjRxO12k5kzZ5LNmzfbPaWcAQDNn6efftruqeUscpFs7d69m9j5bPXKK6+QE044gXg8HjJp0iTym9/8xra5ZBLOXqKPI3EvicfjZMqUKaSuro5MnjzZcKwR2TrxxBPJqlWrLH/+YPYSs7kPdE5240jdSzhCCLFFUnPgwEHWsGfPHowdOxbO7e7AATtWrVqF7du3Y+HChZg9eza6u7vhdrs1x9bU1GDPnj19XguHw/D7/ZAkSX3t/PPPx0svvZTJaQPQn7udcxrOGNYB8sMBe/bsAcdxuOqqq+yeyrBHLBbDihUrUFtbC4/HA47j8Oc//zmjn3nVVVeB4zg1PobjOHAch2eeeSajn3u0wbmPcgfZuo/a2tpw//33Y8WKFTj++OMRi8Xw6aefWrqG2+3GX/7yFwBybFFDQ0NW7j2juds1p+EOh2w5OOKwYcMGcByHFStW2D0VS3jggQdw9913o6qqCj/60Y9QX1+PSZMmWbrGl19+Ca/XC47j8Itf/MJ0/MMPP4yGhga1R19DQwMaGhpw4YUXDuhvcHD0YDjfRyxYsWIFLr30UowcORLBYBBVVVWGAfD9s+QAubBtQ0MDxowZg9raWlRWVqKgoEDzswAMmfJsNHe75gQAd955JziOw3vvvTdk18wUampq1IfT/j+zZ8+2fL1hnY04HDBy5Eh89tlnCAaDdk9l2OPVV19Ffn4+1q5dq+uKMMOtt96KaDQKAEyZT8FgEMFgEOFwGACcMgQDhHMf5Q6G4j4yw+eff44XX3yxT+bb8ccfj48++kj3Pa+//rrm6x9//DGmTJmi+bvVq1cjFouhp6cHt912G84//3z8y7/8S8bnnu05UXz44YfgeR5Tp04dkutlGsFgULMR+EAK2Dpk6yiHy+XKyFOfA+s4ePAgSkpKBnxAvPXWW3jllVdw66234pFHHhlUmrkDa3Duo9zBYO8jFtTV1eHQoUMoLS1VX5MkCfF43PK1PvroI5x88smav7v66qvx8MMP45FHHsHGjRuHhNSwzD3bc6LYunUramtr4ff7h+yamURhYeGQKb+OG/EIxjvvvIP58+ejtLQUHo8HtbW1uOuuu9Db26uOMYo1icfjWLlyJcaPHw+v14sJEyZg5cqV+Oqrr/q859133wXHcbj66qs159Hc3AyXy4VZs2YNaI79xy9YsAAVFRXweDyorq7Gd7/7XbXS9IoVK3DGGWcAAO6+++4+0m5qcOrTTz+NU045Bfn5+cjPz8cpp5yiGZeQ6kp5//33MXfuXBQWFoLjOM359QfL56xYsQIcx2H37t3Yu3evOl8rT0exWAxLlixBeXk57r77bkyYMAE7d+5UFSsHA4dzHw2P+yiRSGD16tU4/fTTEQwG4fV6MWPGjLTA8DfeeAMfffQRtm/f3ufnnnvuMVS29PDJJ5/gxBNP1P27PR6PWn+MuvszPfehmJMVLF26FBzH4dChQ9i5c2cfe/vss88Gff0jArbmQjoYMB599FHCcRwpKioiV1xxBfnRj35EZs+eTQCQb3zjGyQSiRBCkin/V155Zdo1Lr/8cgKAjBs3jtTV1ZFFixaRsrIyMn/+/D7vkSSJ1NTUkIKCAhIKhdKu89BDDxEA5LHHHhvQHFOvw3EcycvLI5deeilZvnw5ueKKK8i4cePU9Of169eTK6+8kgAgp59+Oqmvr1d/2traCCGE3HLLLQQAGTlyJFm8eDFZvHgxGTlyJAFAFi9e3Ocz169fTwCQs846i7hcLjJ37lyybNkycuGFF5p+B6yfs379elJfX0+CwSAJBoPqfH/5y1+afgbFz372MwKAPP7444QQQi644AICgGzZsoXp/XaXfshVOPfR8LiPQqEQOfPMMwkAMm3aNLJkyRJyww03kNLSUgJArdMUi8XIpEmTyMMPP5x2jY0bNxIAZP/+/aafl4ry8nLy05/+lBw8eJB0dnb2+Z0kSYQQQurr6/v8O9NzH+ycrOL5558nF154IQFAzj77bPW7W7FiBYnH44O+fiYwZswYUllZSZ5++mly7733kl/96leDKuXi7L5HIP7xj38QURTJlClTSEtLS5/frVy5kgAgv/jFLwgh+ofEX/7yFwKATJ06lfT09KivHzx4kFRUVKS956677iIAyJo1a9LmM2PGDOJ2u8nhw4cHNEdCCNm+fTvheZ5UVVWR3bt39xkvSRI5cOCA+m+6sdPNIBV0Uzn22GNJe3u7+nprayuZOHEiAUDeeeedtGsBIKtXr067nh6sfg4h8s1rVItHDw0NDSQQCJDjjjtO3Zjq6+sJAOYaMw7ZSodzHw2f++jiiy8mAMgjjzzS5/WDBw+S0tJSUlNTQwiRieqIESM0yXBjYyMBQF555RVLn/3EE0+QyspKAoDcf//9lt6bqbkPdk4DAX1gfPXVVzNy/V/+8pd9HhrMfrZt22Z4vTFjxmjWhTv55JPJrl27LM/P2X2PQCxevFhzEyKEkEQiQcrKysiMGTMIIfqHxFVXXUUAkJdeeintGvfdd1/ae3bu3EkAkPnz5/cZ++mnnxIAZMGCBQOeIyFydWnWjdrokLj66qt1D7Pnn3+eACBXX3112rWmT59u+rmD+RxCBk62rrjiCgKAvP766+prf/rTnwgActNNNzFdwyFb6XDuo+FxH1FCfP3112v+nt5fzc3NluaeDRzJc++Piy66iADoQ/iHEnrkSO/HrJjuihUryLp160hTUxPp6ekh27ZtU1XsMWPGpCmCZnAC5I9AbN68GYAcML1u3bq037tcLnz++eeG16D++9NOOy3td1oxIxMnTsTMmTPx5ptvoqWlRQ2+fO655wAAl19++aDmSOMC5s6dazhvM2zbtg0ANFNzaYyKVmC5XrDoUH+OVWzevBnPPvsszjrrLHz7299WXz/hhBP6zMOBdTj3kT6Opvvo17/+NQA57kkr2JnWn0ot8pkrOJLn3h/btm1DeXk5qqqqTMfOnj0bGzZssHT9/gVlB4v6+vo+/546dSp+97vfAQCeffZZPPHEE6irq2O+nkO2jkC0trYCAO69994BX6OzsxM8z/fJWKGoqKjQfM/ll1+OLVu2YM2aNVi0aBEIIXj++edRVFSEc845Z1Bz7OjoAMdxGDFihMW/pC/o31VWVpb2u4qKCnAch87OTs3fZeNzrECSJNxyyy2aNbUmTJgAr9eLTz75BJIkgeeNc12qq6vR0NAwqPkcbXDuI30cTfcRLeD55JNP6o7xeDyac7AbR/LcU9HT04MvvvgCc+bM0R3z9ttvo7CwEDNnzlRf+93vfoczzjgD1dXV2ZgmE66//no8++yzeO+99xyydbSDFqDr7OxEIBAY8DUkSUJLS0vajdrU1KT5nosuugh1dXV47rnnsGjRIrzzzjvYu3cvrr/+eng8nkHNsbCwEIQQNDQ0YOTIkQP6m+jnSpKEQ4cOoby8vM/vmpubQQjRLODHmjU12M+xgtWrV+ODDz4AAN2aOACwa9cuTJw40fBagiA4Nbb6wbmP9HG03Eft7e3o7u7Geeedl/FuDUONI3nu/bF9+3ZIkoRp06bpjhk7diwWL16Mk046Ce3t7fje976HyspKnHfeeUyf8dBDD6G9vZ15TgsWLBhQvS/6YNXT02PpfQ7ZOgJxyimnYOvWrdi8eTPOOuusAV1jypQp2LZtG9577z0sWLCgz+/ef/99zfeUlpbi7LPPxiuvvIJdu3apro/LLrts0HOcOXMmPvjgA7z99ttYuHCh4VhBEADI0np/TJs2Ddu2bcOGDRvwgx/8oM/vqCw9FAX1Mv057e3tuOOOO+D3+3HRRRdpjtm8eTP+8Y9/YPv27aZky0E6nPvo6L+PiFL9vKWlZcDXsAtH8tz74+OPPwZg/F3W1tbijTfewGWXXYaPPvoIN998M6655hrmz3jooYewd+9e5vE1NTUDsq2//e1v6vstwXIUmgPb8cknnxBRFMkxxxxD9u7dm/b7trY2snXrVkKIfmDv2rVr1VTi3t5e9fWGhgY1S0Urzf0Pf/gDAUBuu+02EgwGydixYzVTg63MkRBCPv74YyIIAqmqqiJ79uzpM7Z/FtWOHTt050ezm4477jjS0dGhvt7e3k4mTZpEAJCNGzeqrxsFCRvB6ucQYi2wlwZGr1y5UnfMgw8+SACQ22+/3dLcHchw7qOj/z4ihJDa2loiCAJZt25d2u8ikQh5//33Lc05m8jVuZ9++ukEAFm/fj3T+HvuuYcAIG+++abumF27dpHvfOc75M477yRTpkwhF1xwAVm8eLHlQPShwGeffdYnuzj1dXpf97dLMzhk6wjFb37zGyIIAvF6veS73/0uWbZsGbnhhhvI3LlzicfjUbNXjOoDXXLJJQQAGT9+PPnhD39Ibr75ZlJeXq7WB1q4cGHae0KhEAkGg8TlchEA5Mc//vGg50jxq1/9inAcR/x+P7n00kvJHXfcQa6++moyYcIEtT4QIYTE43FSVVVFPB4Pue6668hPf/pTcs8996ip47RuT3V1NVm6dClZsmQJGTVqFAH06wNZPSSsfg4h7IfEjh07iCiKZOLEiWk1lFLx1ltvqXVrHAwMzn109N5HFC+//DLheZ7wPE/OPfdcsmzZMrJo0SJy3nnnkZKSEnLppZdannO2kKtz/+Y3v0kAkHfffZdp/KuvvkoAkIkTJ5Lbb7+ddI+XmAAAIABJREFU1NfXkw0bNvQZ8+abb5K//e1vhBCZzBFCyDPPPKP5kJFp1NfXk0AgQM455xxy0003kWXLlpHzzjtPvV+XL19u+ZoO2TqCsWXLFnLRRReRqqoq4nK5SGlpKZk+fTq5/fbbyWeffUYIMT4kYrEYueeee8jYsWOJ2+0m48aNI/fddx/529/+RgD02ZhTcc0116jpszt37hz0HFOxfv16cu6555Li4mLidrvJqFGjyAUXXEDee++9PuM2b95MTj/9dBIIBNS5pNYVWr16NTn55JNJXl4eycvLIyeffLJmOvxgDgkrn0MI+yFBCxi+8cYbhuMOHDhAAJDKysqBTN2BAuc+Ojrvo1Rs3LiRnHPOOaSkpISIokjKy8vJjBkzyLJly8g//vGPAc05W8i1uUuSRIqLi0lNTQ2JxWLM71u5ciUZO3YsEUWRACAvvPCC7lhKtuzChg0byA9+8ANSW1tLCgoKiCiKpLKykpx33nnkrbfeGtA1OUKGsKW3g6MCTz75JK699lo8+uijuPHGG+2ejgMHRySc+8jB0YgdO3Zg8uTJWLVqFW666Sa7p3PEwOmNOIzR2NiI/lz7wIED+M///E8IgoBzzz3Xppk5cHDkwLmPHAwnvPvuu6ioqNDt8elAG46yNYyxdOlSvPbaa/jmN7+J8vJy7Nu3D6+++iq6urqwYsWKtKJuDhw4SIdzHzlw4MAMTumHYYyzzz4bn376KV577TW0tbXB6/XixBNPxE033YRLLrnE7uk5cHBEwLmPHDhwYAZH2XLgwIEDBw4cOMggci5m65133sH8+fNRVVUFjuOYKudu2LAB06dPh8fjwYQJE/DMM89kfqIOHDjIaTh7iQMHDnIFOUe2enp6MGXKFKxatYpp/O7du3HOOefgjDPOwPbt27F06VJcc801eOuttzI8UwcOHOQynL3EgQMHuYKcdiNyHIeXX345rQ1GKm677Ta89tpr2LFjh/raRRddhPb2drz55pua74lEIohEIuq/JUlCa2srSkpKLPf2cuDAwdCDEIKuri5UVVWZNtlmgbOXOHAwPDHUe8lAccQHyG/atCmtk/i8efOwdOlS3fesXLkSd999d6an5sCBg0Fi//79GDVqVFY+y9lLHDg4epHNvUQLRzzZamxsREVFRZ/XKioq0NnZiVAoBJ/Pl/ae5cuXo66uTv13R0cHRo8ejf3796OgoACP/fM8AARXjHsGfrHYdA4ft+3Fkg+ewci8Yjw36xbdcWt2fIJ7392IM8eOwy/P/o7uuF/+9zt46a+f4Mq5J+Gab59i+vkAcOPCJ3Bwfxvue/BiHH9iNdN7BoL//e8P8NRj/4dv/uux+NEd85nec+fqN/DOJ1/hh9/7FhbMmqw77twXnsW+jg48fd53MaOqSnNMXErgrHX/Kc9l9n8g4Er/fvtjd9cWvNnwnyjzTMT3xvyCac4Dxe++vBo9iRZcUP0Ayn21puObQu246K8Pw82LeOvMO3XHbdi9G4vffA3Hl5Xh99+7UHfc83/5EI+/thnfnnkM7rh4ju64VCyv+z0+/Xg//uPH52HW6ccwvWcgeG/jTvzsnv/BcZNHYeUvjbP0Ojs7UV1djUAgkLH59Ecm9hJWxKUontj1PQDA1eNfgEfINxz/651v4b/3bcbFNbNwXa3297z2y1344dtvYlrlCPz2/As0x7R29uC8+mcAAO88eJOpGvfQz17H+rd34IprT8cFF7LtTUOBP/5+M5576h2cOW8yFi/7tuFYQgi+VfcoAOB/7l6I4oI8zXFXvPQnbG9qxINzv40548drjnn8i7VYs+d9fH/Mqbhp4lzDzw0nOvH0l3Iz8etrXwbPCWZ/1pDh6S8vRzjRgR+Mfhgl3rGGY9fs2YTHv3gbcyon487J39Uc83FTIy576U+oCgTw5mVX6l7rjB8+hrgk4aX6K1FWaGyzzz71Dv70+8045/zpuG4R2940FLBjL9HCEU+2BgKPxwOPx5P2ekFBAQoKCuDLd4FAQkFBAH7RfMPMTwQg+D1w5XkNN9i8/HzwXi/ceXmG4zy+PAhuL3x5fuYN2yX6IIoh5OcHLG3yVpGX54coeuFx+5g/J/n35Bu+R/T5wEciyA/o/w0xKQ7BL393BQUFTGQrwOXB2yUiz+vO6NoAgC/gQiIuIr/AjwKf+Wf1uiQIfg8EXjScmz8QAO/1wmViO16/H4LbC4+P3XY8Li9E0Qu/3/j7GSzy8/Mhil64LdhOrrvizPYSVoQTXfDmy9txcWEZBM5lOJ7Lc0HwexAMBnU/R/D5wHu98BvcTz1xQHB74RYFBINB03mKggei6EXQ4t83WAicW/7cQv2/lyIcjUNwewEApSVFyPelfz8AIHnc4L1eFBlcU8zzQPB7UFBgvq8K8bjyHXIIFhRm1XZdeQmAiCgqLEOB22SefjcEvweBoP536OrsAO/1Ii9ff09ISBKI6IYAoLi4CAX5xnuxKMr7TEEgu7ZDYfdeknMB8lZRWVmJpqamPq81NTXJpEnjSdQKWMPZONh/INC5cnxm56IabA5E+rGuO1Emm43vicuRW8rK30q/ykzbDhTbydUw0UzuJWZIkCgA2X54hmfgaCIOAPDw+qQsEpfHeEX960WiynVcbM/d0Yg83u3J7nN6lM6T4XOjsbj6/x63wd8eTwAwWZ9ETL6OwTpTxCU5ds/FebJ+sMcV+xE5t+nYqERtx+jvZlibaHKdvQz2E4koa+k1X8ujEblxMgwCp556KtatW9fntbVr1+LUU08d8DXpgUkgDWpuA8WAziLlPZm+x+mBLA1gkkNxxA7mGtnYAOlnWLWdoSIgA7mMJClkNMPLw9O1see2MkUm9hJWxCX5sBQ4F5OdRiRKAvQPubBCtjyCvjsrEqNki83lFQ4rn+vJ7oFJyZaLYZ70b+I5Di6Dv11dHwNCEVaIiVswJxNxIpMtkddW0jIFiSTU/UZgIIUsBDJpOwZkK4XUulm+F2o7BgT4aEbOka3u7m5s374d27dvByCnY2/fvh379u0DIMdIXHHFFer4G264AV999RX+4z/+A59//jkeffRR/OEPf8Ctt9464DkkD0xWZQuWxpuDHn7sp58kyTdbprMtkgcm+9+qimFDQCj6XINxeSSSUIZn3txVos6simZoHhYuTMlWpm1nMER9IMiFvYQVEpEPLjP3IUWUgQREEubKVlg5ML1uts8Nh2VS6M2yOhGPyfewi+GgjiqKlRkBCLMofwox8TKQmJgUBgCInNd07FAiQWLq/wswnyeL7bCsDbUdtyhAYNg7KFH35pmrb0cjco5sffDBB5g2bRqmTZsGAKirq8O0adPwk5/8BADQ0NCgbpYAMHbsWLz22mtYu3YtpkyZggceeABPPvkk5s2bN+A5cJBvUmLzI7iVgzh5YGZWnuAF6wem3b5y+tSXFbLFWVRFM7Q2VtyIUoI+FWf2e6LXt0LUB4Nc2EtYQQ9MnmN059ED08gVxOAmC0cp2WL73FBIOTB92T0w43HZRkXB/B5OqnXGfxMLGaUKok9gcc/1AgDcfGZdzv1BiTrAZj9stsOg+lm2HZmo+7JsO7mCnNPzZs+ebagKaFV0nj17NrZt2zZkc+A5HiCAhATjO2gsytB8/mBcQRknW8oTTCLBTkSTyt/gMTAPq0K2uMyTLV5Vtthsh66NNESq6EBsJ1vxfrxg3XYGg1zYS1hB9xrWDLaYcmC6+EG6yaKKa4cxZqu3R3aV5fmze2BSmxFE83s4ppBMl8imbBm5ykLxqDKGRTGSyZYr22Qr5ZxisZ+opKwPi+0YuWEHajuOsuWAwqqylYwZH6IDcwBuRLoZiSYbzGAhKAemlLDwtyb9iEMwg+Q1eEb1hroRs5GKzSmfITEqW0MdtK8SJwuXVQ8yBtVgMBCoKirlaNCWjUgmcbB9B8kD09yNaEQmwkrAu48xBqunWz4w/f7susqshEmobkSDvZAQgqgSBG5ERkMJxW3KomwleuTrmZTtGGqkPlCw2E+cKlsGKhhLgHxICXi3bDuB7NpOrsAhWxqgh3KqPGs4XlW22MiE2Sh6GSsHJpXZ+YwfmLzyeayqX4p6MyQxW6nXZSVbSsAsMk+26Gew2s5Qrg2QQvgHQLYyrYombcchW2mgJJnxi4spZEs0eICgbkSPAekIxRS3IEPMFiFEVSf8+dkNAreyJ1Jly8jlSIkWYKLeKG5EL4OyFZEUssX7zSc5pEghWwwLFFMePo3irJjciBbj/Xq65Zg2vz+7tpMrcMiWBlSyxehGTAbUDw0GpGzRDYZBZh8M6PWtuILUoPohWCBicWMBUpWtzHvN6WdIrG5ExmQMVlOga8znoiqqXN8KUXegjThhdwUZqhNhdnUi1BtVbSVQkF1XmRXElTmyZCICJjFtihuRJWYrnOgCAHgEe4tnmiGuqIQsqiiLspXHqGx1dcpkqyCHbSeTcMiWBmhGELs6obhHhsqNKPW9LguoWpBxV9AADkxuCOsrpa4x6+pIoKng2SBblKhbsx1giNbHokICZM92VKLuKFu6YA1FSCibhGgQh0gPTKOss5ASd+NjUCe6OkMA5PILLPWuhhJWIhEomTBStuja8BwH0UDhoW5EH4uylegEAHhtJFssewgl6oa2E6e2Y6CKRtlV0Wg0rmYj5jtuRAcU9FBOsLoRhzQmKbnhWsnEp+SHpQ7NYECvH49ZCJBnrIPKRBBSLsKq3iQsptUPBlaJeurfMBQxf8mYrQGoohm2HVEl6g7Z6g+rWawJSigMlK0ogzrRa0Gd6FTIVkEwL+sZxjRWiyXejyUGUXWxCoLh30LJVp5o7voKSZRsZbc6emriD4v9UKIuGBJ1uj7mqiiT7XTItsPzHPz5DtlyoEBQyVaUaTwlCYkhUrasqhOJuKRmI2aLbMVibGQCSMYGJIYgMLqvssVKtqyl1Q8GSduJmYyUwadseCxxW2ZDBhPvl2kX9EBsZ7ggGevHphjTA5M32MIpoTBUJywEOXe0y9l2BcHsu4EocWJRRdXMbIObgMZsGa1NgkiIKMHkTG7EeKcyNrtkKzUWlcV+6D5sRLZY1qfXgu10d8kuxPyAN+OxobkKh2xpQFBaHrAfmNRNZrwRsD4NEsmaOpHanoKl6N9goB6YUZvciMR6zBb9HrOpbDHbTgphHAo3NF0fKzWzaMHITMdsJcmWE7PVH8lYPzYiKlE3ooH8zXJgDoRsFRZpN3bOJOiDQIwhfCGh3AMsbkRDF2si+bDNQrZCiXZlbKHp2KFE6kMkS5xxAgzKlhogb0S2FNWPxXY67CPquQKHbGnA6oGpxmwNkRuRXof1CSD18HIz1jwZKCiZs6JOUDI6NBn/1ks/0O+RpW/YYGHZdlII49Bka1p3I8bU6twZJlvUdqKOstUfVu1Ggrn6zUS2ouyuoPY2SraynW0HuFzUdszJBMvDKsva0OB4HpxhAVCKUMIeN2LqQySLN4Zlj2Banyh72RDqRiwIZp+o5wocsqUBeijTfmVmECiZYFYmjMepriDGq9HmsDzPMRX9GwzcyoEZibAfmPQBSmKsW2YUuzQgZUuiylY23IjUdiJM4/soW0PQsWAgZIsqo5l2QVPbicelrBU2PVJA++nFSZRJAVa/Z4Mx9MA0ylik6gRLgHx7m1zaIFiY/QOTNr6OMhB1NQzDYHHUtTFQv3oTyUxEs/uJEIJQokMZHzSd41CC5wTVlUj3OiOwhKnEGAqfWrGdjnbFdhyy5SAVIkc3PsYDU2ETiSFq75NQC/gxKlvKBuTOQoaQx8KmR0HlasmkTQsLP5DUWBULAeCqGzHzylbqocmC1LgSI7LO+tcmGOJV+oyPS2qBWneGXdCp9mnFfoYD6J4DEGZ1ywz0wGRxI+Z5zO+NdupGtIFsqfuOlYc8IzKhkH3DtbEQHB8jYVVV8onZdSMCyX0nRsLM7zEm6ubroyZXeM1tp0NRRYM2uKBzBQ7Z0oB6YLKqE5w1N6J5kLO1A5OqTJk+LAHAozSgpR3cWUBJY2IIeuJJA6lBpmyC2YjZoocmbUprhtS4CZYEAvOCuNZc0H3i/TLsgk61Tyv2Mxzg4pMZWjESGpJrqvWUDNQbSra8DA9qne32HZi0FyNthD1YxFmUm7i8/7MUNA3HZVVL4NxwZbkRNZBsfh1n3HfMwGI7YRrvx3Du2EnUcwUO2dKAqGx8rE8JqnJjFiDP+PnJmC22r4ceXJQIZRL0M+Jxible0pBmI9IAcAt9DqnKREl0JkEPTdZM1r7Klv76sLtMrRH1VKUg08qoIPBqXJhDtvqC5wRVeY0lGMgWQyFlqt4YBdH3WlG2bIzZ8in99Hp7ze8rlvZpai0ug7UJJ5S1YVC2ehNt8lihMOtlMYBk8+uoZG47LEW4KRk1Ki2i1tliifdrld2IdthOrsAhWxpwWXxKoAd/nDkmyRhUAGJNKIsoG2Y2Cg2m3lisT5k0K8iMbFHZ3yhmZUBFOxWFMheVLZ7jVZcoGxk1i/ezpvxR2xFFPuNFTQHA66UKhUO2+sPNy0/9EaWhsRHUFmEMhMJlVLQzyp6N2NbaDcAedYI2L6b99YygJiwZKOkxBrKV7Itovja9cZls2eFCBAC3IJOYqNIyyAjJ9nL6+w0LUVczWRlittraKNlylC0HKaDqhFVXkJkbkfWBx0rTVSDFjcjYNmEwcLkF8EpD4VCI7cCkZQiGJGZLTVu2QLYUlSkb8r5V2wFSYv4YYrbMXNBU2WIt/UCVrWyoogDg9cmf45CtdNAGxkwHpmL/RnGiavFKI/XGgitIPTCLs9toGQDylUKYPT3mZIu60I3244QVssWbq369StmHPKHIdGwmQPsxRhIWbMdgv0kwlBaxko1IkyuKSrJvO7kCh2xpwKVIsjEGSRYABKVFCwEx3PxYlBsgxRVk9cDMQswWx3Hw0fiJEGO2pnLDxhkz0IxWJ6HGs7GbbkJJdBAZNs3BwqrtACnKqMSQ1m6ibKkJBBbj/TxZIOoA4FVIHavtDCd4efkgiig99owgMCTlqMTb4F5hPTBDoSjCysNVUXH2XUF+pcVLd6f5faUWQDXYbxIMcbHUjegT2ZWtPNEmsqUQ9YjUbTpWtR0DJZ0lHIHajpch1rNNcSMWOW5EB6mw4v8G+vaYGoqMREndJK25grKlTuRZiJ8AUjY/M2WLwTVolUwASZVJzIKylbQdc1cQhcigjDI33aa2w+gSpK7gbPW6y8uT3aystjOcQOsz0XpNRhAZDkxJVba0bUeSCMIxemAa7x005sbtFtX7P5ugzYu7uswV42SMqFE4AnvMlodnIFsJe8mWl5f7MYYZbIeKA0ZnVTI21oBsxWhvROO9IxZLqHW27CDquQKHbGmAxk6wHphDnVGmEgpGNyJVCaiLJtPwKQdmqJctW5NuaCzKDWAWs2Ve/bg/aMxWasZXpuBSbMeSskXXh7FVixGsBshTtYJme2UaNNA55JCtNND6TGGlXpMRBCVw2chmJBP1JpKSiWp2YLYq8VrFJX5bAsBpba/urrDaB1YPNIPOqNp8Mi7WgExIyTpbZuiNtwIA/EKx6dhMwCtS22Eg6sp+ExuE7QApypZJzBZ1IQoC7xQ1ddAXbp492BDoGxNhtPmxtq2xGndD41+82VK2/DLZYglWBQBBifEycyPS+9pIABuIG5FmlWaDbCWDnNlsB0iqFIa2o/zXLC5QslijTSVbWbIdP7Udhtib4QavQrZo/I8RXIo6ETV4gDFLJgmnkC2zEATqBrIjXgvo21OPtg3Sg0tpMRNLmK+NEWhLH6NmzBQ9qhvRngB5StR74wy2oxD1mKRfsyy5Pvr7SEQlWyZE/bCSWFHkH7Z9EQGHbGmCZnawHpipbkSWA9NU2bIYs0VVAl+W1AmrB6ZLKYzHHrPFoGxZyEakKhNVnTIJj0WiDgCicnDGDVVRStSNr6X2hWNURUOKKurLkmsoL98aUR9OoC4oGv9jBNrTz+jApNATJ2iNNVHgDYPoAaDtsGzPxTa5gQSBV9UtSvz04FbIVpShj6KRShex4kakypZYYjo2E6CB+dSdaQTaeijG4GnQWx5Cki5oj0nMFv2+ikuHb3A84JAtTSQzO8yDDQFZZUkGOZvXSjJXtqy5ylRlK1tkSzkwuxniJ4Bk6QdTZYuBUNCiplaUrahKtrKgbAnJrCDWxtssLiGW2kHAAIh6yC6iPjTFF48m+BWy1aMc3EagBCDC0J5FDxHGwxJIln2wM+aGZrKZki3l74kMsksBXVuWvojJOlv2xGwliboF20mY246eKppKZM368aq2M4yD4wGHbGnCSgo2BVUnjJ4WrBY1ZQ1ypsHG2QpcDdDMoG5GsiWyKVvJpyjzlGTmdjQkrhYYpcHrmQQNVJUQZ2735FKVLSPbYQ2Qtxbvp6qiWbKdfMV2erocZas/qCrSEz9sOpbWfqKuLiPocf6o0oCcKkFGaG21P3W/RPnswy3G2ZrUrZUak6YHowciupd7TOpsxaSwGt9rV4B80nYYyJaiikYZVFG9h7tUsuUxsZ9WqoqWOGTLQT94eEq2eiExBi2z+MFZ2/rQlGV2N6J8cGXvwJRJC6uyRd2IRgGrQHJ9jEs/WFP9YilJDq4skC0X71ObwrIqo0nb0V8fXo1nY4z3YySjvVm2HUrUu7qGpiXN0YR8sRQA0B1vMR3rVdSJcEI/0cBsv4nGlfp8DA3I23Mgdb+kTH6QaTnERrbC0bgumUruNfr3E1W2jFr6AEm3r8C51XjfbCNfIVsRqds0OYfWDQsx2I7e+vVp82VCttRiuMM4ExFwyJYmPELSKFgzEl2WXEHGSAbIW1S2/JlvRwMAgQL5wKTpvGZwiebZQYD5DQ5Yz0akLkSBc2elgjzHcfAI7GnYAOCiMRQGtpNcG+NrWVVFqbJFXcOZRoCm8Hc6bsT+yBfLAMiKullxSq9ID0x9V5AZ2Yop7bbcooU6STYqW2UK2TrUZHxf0YrmEiG6cVvJhxf961Cl2cyNmOpCtCNTE5CTuujDZHfMmKxTVZSFbJnbjmD6N6sxWzYlV+QKHLKlAYFzqTWZmNUJBjcidSSaqxPG9XH6o1cJVPdni2xZdCOqypZBdpAM8/WJW3QjRpVDy52F4HgKr2WyxeCCZngSB5KuWlZVVLWdvOySrU6G4pTDDW4hDx7FDd0VbzYcmydQsqXvjuVN6rfR+5E+DBkhGXdjX+p+eaWccdfcZFwaI7VAK+392B88Q52ymNqs2oRs2VzQFJD3h4BYDsDcdvxKr0cWspUwtR1zVbTtMC0b4pAtBxrwKnFbYcm8mjOQvCGN/OAsyg2QEuTM6grqyW7cTVKdYDsw1eygmJmyJf/X6GlTslj6gSqT2SVb7MUpAcDN4ILmGIm61YK4NCvQlyWirhan7GAv+jqcEHApB2bMhGwpB2ZPXJ9s0Yc1vaQdqk6IAoMbsd2+JtQUlGw1NRqTLYHnVcLVE9JeH0ElEwZkS1GazVT0kNqqx56yDxTUdjqHwHZE3piMUi8FiyCQbGA+fGtsAQ7Z0oVVV5CbIehQYFQnVGWL0RVEM7uypmxZdAXRbBWzVOwkuWTo2cWZHxBAsnyHJ4uxFD6FbIUla25ENqJufC3rtpNdVTSobLgdjC7o4YYCRrJF1YluhgNTL/EirqgToomthMMx1d1sZzbiiBEymWlq6DB9YPUrDc97wtrqjVqOxqhljbrXGK8PrW1lp7IFAAWuSgBAZ6zBcJzfAtmK6awPVdCZiLqNPTVzCQ7Z0oF6YDKrE+YHJnUFmbWtsVrUlKoT/vzMlzYAUlxBjAdmUtkyzn4xk66B1JgtRjeiQrbcQvYOCU8GbIc9QN5aTFvSdrJDtgqVWkmh3qjaZspBEqorKNZkOC5fVFz5Mf170OzAZI0N7VAOS1HksxYXqoXS8gJwHBCNxtUDXA/5Ctnq0lG26NpEjfonMt5LVNmihUXtQlAhWx0mZEu1nbj+w7JqOzqhH6yhLvF4Qm2xRO/94QqHbOnAK7C3PwAAj3JgRljUCZNrJQ2Z7euhsVM0lirTCBYm3YgstaRotpOZssXSqDtuMUCextzRDNNsIEnU2VzQ1HaiBmn8rJmsySfO3LSdPL9HVd1YyfpwQlKdYCNbXQYHpltRHaJ6B2aC7cCkKmSw0J5WPRQul4BSJUi+scHYlZjvk0lhl05LMTdDHCmzskXJlk3V4ykKXCMAsBB1Zf82IOrq+pgRdZN9hlb753lOfUgfrnDIlg5o3E1v3LxPGZBUJ4wKxSUPTON6U5IFZSsaiSMWlTeMbKkTBQXyE0oiITFVAqdFE83q3lhRtlhjtiKSQrayqGypMVvMtqOk8RsUqORYbYfGtDGqorR8R7ZUUY7jUBCUN12ztivDEQFXBQBzV1CBi+XApCRem1Cw2gr9nuhDlp2oUFyJjQeN29IU5CkZ0yZkS29tgGQBZc5M2VLuc/qQZRcKFNvpiDaajFPWhoFs6doOY1wxtZ1AgW9Yt+oBHLKlCxrsyNIUFkgWvmOJuzFVJyR2fzitV8TznNogOtNwe0Q1GL+DIdA5SbbYYraM1sdqna2kshVgGj8U8Cm2E2K2HZZ4P+PMMgpVrWBQtgghqv3Qch7ZAG270ukEyaeh0F0FwNwVVOBS1tDgwPQqJR0icW27Ymk2DCS/p1xoIjyiSr63Gg4at6UJ+inZ0lb+6D1nVBSWMK4P9X547XYjumVlqzfRipikr3hS2+mOh3UTBDwmtsO6Np2qKmq/7dgNh2zpgDYUZek1BaS4ERmULdOYLZq+zyDZd3cnA5yz+eRQyNinDEiSrXDUOEYnuT7mQavMrYwUVx7NLs0GKFFntR03Q/sMFtUPsFbUNNQbhZSQx2dL2QKs2c5wQ9Alk61QosOw7ExQOTA7Yr26bnePQIvr6hAK9W1sByZVJO3EiCo5CL3hABvZau/WJqO06rkemQCSiUxmdxIlW3YrW14c3vzTAAAgAElEQVShQA2XMCLrVBUF9JVRSkbDemSLGo/J4nSoRN1+27EbDtnSAVUnWLqoA4BHqXtjFLMlMCpbVjLKaPmFbPvDaQq4WaAqkKzoHE9Ihi17aIyaobIlscVRUFCyRbNLswFK1EOMtqO2XjFwI1KXMrsqym47LpcArzfzBV8pkrbjKFv94Rby1P567bGDuuMK3TLZikpx3XpJPpdSvNLEfW/Gy+3aY7QwsroYAHBgv3FbmsJ8ea7tPdpkwicqa2NAtpIwUbYk+kBnL9kCgKCijLZHD+iOEXkBASXmrz2qvX/76ANy3PgB2ayNWHcnjQm133bshkO2dOAX5ZuapbEnkDwwjdtnKLVLmGO2zL8eGnOTn6UAZwpaoK7tMAvZSh7kRnFbAoN6kwBVbqzFbHmzSbaUw7I30caUQJC0HQOyxVCEEUj2RmQi6ortBAp8WQ18pm07HGVLG4XukQCMD0yf4FYbCrfpHZiKK8iMUJiZqGonWd5jtDBylEK2vjZWtoqVw71Npy1UnkpEY8wN47WQIHG1PY4ni+q5HlhsRx4n34OtOrZD16eXob+kEWgCTn4WwxRyFQ7Z0kGeQrZYmsICyV5lRu0zRJ7NjRi3UEGePnVmm2wVKU1FDx82z7jzuAT16TlkkO4vmBTSk38nx32xBsirylYWsxGp7SRITCV7RmBpn0FtwdSNmGAviNvZmf14LSBJ1Ftb2bozDDcUukcBANoi+3THcByHYvXA1F5Hv1tW23tjOnZF24eZ2FRPtz0PdFoYNVq+t1oPd6vz0kJRQFb+Wru01VNKJgj0yaiaHW3UPzHF1ZvNPUYPRS7FdqL7DccVu5WHZR3bSZItbdtRO1qY2k52O1TkMnKSbK1atQo1NTXwer045ZRTsGXLFsPxDz30EI455hj4fD5UV1fj1ltvRTg8uN5rfkG+qWMkjGjC3N2Rp/QqM1K2VDIxhMqWXfEU6oHZYn5gchynqlshg7gtkYFQSBaVrWTwavYkfpF3qxtvD4My6hOo7RitDZuypca0WXAjFmTZPWTFdgaLXNhLrKLYPRoAw4HpUdYxYnxgdke19yRW13S2a7EZwZ/vRXGp/Hfv36f/IFyiZEy3dmrv3dTFCgA9OuvDkrBDO1S4OC94xkLLmUSRZ6hsR96T9GyHNdmLNrrPBduxGzlHttasWYO6ujrU19dj69atmDJlCubNm4fmZu2Kyi+88AJuv/121NfX47PPPsNTTz2FNWvW4I477hjUPNxCntripTtu3NgTAHwCe1Veo6rFgLXeiOqBmeVMoZJS2S3X0sJWSypPaZ9hqGxxxhWvgdRCg2xuL6psZTt41S+WAGC1HUWBMGq9wjHaTmIgRD3btiNv9IcZbWegyJW9xCrogXk4utdwHFUnDke019GvHJg9Og84PI2RNLEp2mUgL0fUidGj5Xtr3x79e6s4IKt+LZ09muoLz3Hwm5DRZNiH/n4Uo2Qri+3AjFDsrgYgq6JGqpNqOzrKVr7ycNwT07YdVWk3sR3aezVbreRyGTlHth588EFce+21WLhwIY477jg8/vjjyMvLw+rVqzXHv//++5g1axYuueQS1NTUYO7cubj44otNn2BZkC+WAmA7MJmULTXuRv8mIIQwV3YG7Mv2KCuXycvhQ2wHpo+FbPHm65MAJVvmT5FxKYI4kVWJbAevUtvpibHYjnyIMSlbZr0RCTtR76Q1cLJsO6Vl1mxnoMilvcQKShRlqz36NSSDg77Uozzw6JCtgEcp7BnV6Q/IGNZAW/XYWT0+FaPHlgEA9u7Wv7fKgjLZCkfjui176ProKn8M5VaiSryWm8+NAPAidzUADmGpS61srwVT23HTtdGzHfO9GgDCIXlP8/kcspVTZCsajeLDDz/EnDlz1Nd4nsecOXOwadMmzfd84xvfwIcffqhuiF999RVef/11fOc739H9nEgkgs7Ozj4/WsgX5Zu6O3bIdO6qOmFAtsx6lQF9b2yWUg6qOpFlVxCt5Hyoia3Cfp5HecqOsKyPeekHlpgk2giahwB3FnsjAkC+ixJ1dtvpSRg1FU5u/IbZmmpVcAZlyyY3IrWdrq4wwuHMtOzJtb3ECgpclRA5LxIkho6ofkZiqVcmrYci2p8ZUGK2uiLGLWuMMoQBIBRSGt37spexaoQxNfK9tXe3/r3l87jUlj2HOrSDwCmh0COjNOM5bkB440o9KxdvfzwbAIi8B0GlkvzhiL4yWqKQLT1VVCXqOvs1zXZmtR1vjtiOncgpstXS0oJEIoGKioo+r1dUVKCxUbsq7iWXXIKf/vSnOO200+ByuTB+/HjMnj3bUPpfuXIlgsGg+lNdXa05Lt8lk60uhgOTqhNGriAWMiGlPCkwqRM2FY0rr5A3+q6usHpDGYG6EXt1njIB815uQJKMssRs0YK0XiGY9TYj+bTHHYMq6rdgO4BJixHGys5AsrpzYVF2bcef71HdCi3NgycnWsi1vcQKOI5HseJKbIns1h1X5ilQxmgfmAXKgdmpR7aUWlMxkzZaEYUQe725oU7UjJP35d1fGjfrLiuUXWWH2rVdZabrw9OWNQZuRBJRxuYG2QKAEs8YAMBhA9spV4h6c1j7/jNbG5diO3FG2/FksbRMriKnyNZAsGHDBtx333149NFHsXXrVrz00kt47bXXcM899+i+Z/ny5ejo6FB/9u/XDiak7Q/Mek0BbJ3UXQJL89NUZYsl7sYeN6I/36sGPTYzqFu0V1mPgZLhYlD+BqJs+cTs178JuNgaCgOAXzAnW65UssVARi2polmO2eI4TiXrTY1sVfazgUzuJVZR6hkLwJhsVXjliuVNYe01DHqVKuo6B6baIN7swIzI2Xpuj2g4LlsYO16+t5qbOg0zEssVstXUZkxGO3QSIFgaxMclhWxxuUFEAaBEsR0jslWmki1t2ynwyLbTEdFeG5dF2/F6HLKVG3ePgtLSUgiCgKamvgdUU1MTKisrNd/z4x//GJdffjmuueYaAMDkyZPR09OD6667DnfeeacmYfF4PPB4zOMPCtQ+ZeYHJm0Ma0i2lCcllgBwILcPTACoqAziq13NaG7sUKV9PfiVp+KesBEZpevD4kY0J6K0XY6Xzz7ZKrBCtqiylYiCEKKpwqUqW4b2Y8GNmOx5l33bKa8MYu/uloyRrVzbSyzP3zMOANuBeUhHnQgqB2a7HplgVLai0dwiW4ECH8rKAzjU3IWvdjVj8tTRmuPKixSypaNsUTKqSygYlK04kZV6IYfIVpKof6U7psIrF17uiPUinIip5WcoginxbLFEQt2bKVKJut6eBci9ewHAlSO2YydyStlyu92YMWMG1q1bp74mSRLWrVuHU089VfM9vb29aZugoBjGYIrVAXLsBAB0xowbewJJdaI7rv+kZdZJHeibGWSWcUcISbqCbDgwKyrZmsICSbLVbeByZGoOS9izEWkFd59S0T2bSNpOk6kd5iuNYRNE0q21JfK8Wqs5ZqSMWlC27CRblYrtNGeIbOXaXmIVxZ4aAMDh6B7dMVTZkg/MdLsp9FKyFdKcP2uD+JhCtlwu+0sbUNQo6taer/RDPCqL5LgkPWWLrk9bSKd/IkMbrYRKtnJHuSn1jAcgq6J6CRYB0avGimopo5SIAkCHhjJKbQcwVreiim25c8h27EJOkS0AqKurwxNPPIHf/va3+Oyzz3DjjTeip6cHCxcuBABcccUVWL58uTp+/vz5eOyxx/Diiy9i9+7dWLt2LX784x9j/vz56kY5UBQogYZdsSbDrCAA8LuSypakU0crVbnRC3JOTe7gTA7MUG8UMaW5c4EdByZjU1gAyFeyUbpC5sqfMdmi/cosuBFtaKMhuxE5xEnEtEeih3epMWhdOmSd4zjVfozWh1iJ2VJc0EEb+pZVjJCJAovtDBS5tJdYRalCtjqiB1VXVX/ki17k0QMzlH5gFvnk7zUmSZoZdx6ljVbYgGwRQhCPy/uZy5U76sTYcQrZMgiSp2SrsVWbbBV5lSrzYeP+gEZttBJE/p3A5w7ZKnSPhMC5ECcRXaGA4zhUUjd0KP1hWeR51c3aFkpfn1SyFYkauFmV8ymXbMcu5NwKXHjhhTh06BB+8pOfoLGxEVOnTsWbb76pBrru27evz9PnXXfdBY7jcNddd+HAgQMoKyvD/Pnzce+99w56LvliCQTOhQSJoSvWrHZV1wLtNUVA0BOPIOBKP8BS426iiTi8YvoNmkrCzILAqTLh9bqy2tuOYoRCtg6aNIUFgIBPXp+uXpaYNgMyYaGoKU19pn0uswmBcyEglqEr3oyOaIPa/kkLHMchIHrRHutFdyykKhb94RYERBMJJjJqpmxFIjE1LTtYlN1MTSC1oTBb/8iBIJf2EqvIE4rh5QMIS11oje5Dubc2bQzHcajwFWJ3dzMaw+0Yk1/W9xouF7yiiHA8jrZwSM0wo/AptZTC0ZiuKyiRoqKKYu48m7MEyVcWK3GBOspWsUJGtcgEAHgVImvUFYQoD+FCDh2lPCeg2D0GhyK7cDiyR23h0x+VviLs7jmExrD2PVjs86EzEtEkoy5RgMjziEsSwrE49B5nabaikEO2Yxdyx0JScPPNN+Pmm2/W/N2GDRv6/FsURdTX16O+vn7I58FxPIKuEWiN7kN77KAh2fIILnh4EREpjs5YSJNsuVOejqOJhCbZIhJ76Yd2m+okUVSNlA/MgyZ9ygAgoBRE7OrVd7PSJ0kWMmHabh7JmC2foE1eMo2ge6RMtmIHUIXjDccGXD60x3rRGdPe+AHAIwjoBtv6mClbHUoTaFHkkWdDwUFqOw0MRH0wyJW9xCo4jkOpdxy+7v0ILeGvNMkWAIzwymSrQUOdAGT1pqG7C62hEEYH+z500Np3hACRWEJtGJ+KVLLFM3QlyBZokPzuL5t1iWJlsaxsNbR2aY6hZKtVh2z5VLKlH/ogQb4XuRyoHp+KUs9YHIrsQkvkK4wPzNIcQ5WtRh3bKfHlYU97Ow73alfh97pFdIejhrUTpTh7R4ujHc4KmIC6EjtjDQxjZVdel86BmUq2Ijp+btVNxlCpoNPGeC0AGKlUcj74datpTEswT8mMMlC2PCID2VKVLSsxW/aQLdamsABQoJBzPTciALgZyChhVLZSEyuyXRYDAKpGyWSrvb3XMKPsSAUh+qSZFTRI/lDkS90xI3zyOuqpE6V58t6gdWD6UhrE65VkkRLW6v4ZQZIk7Hjvc3z50Z5Bx8CNrimFIPDo7grr1voboShbPeGo5r5TmqdUmdchE3lKHG4ork+2CE3YGYKjlEjtIJGNIAnzcjFmoLZjFCRPbUePqJcotqO7PmrSk/76qKVohoBs7f10P7au+wTxQTbHtgs5qWzlEoLuEUAP0BE1J1sBlxeHIp266gTHcfAIAiKJBCIJbYMhFmKSqLJlRyYiIGcj8jyHSCSOttYeteedFgr8SuaPobIlk9GwTmNYwNr6hCXaF9EeslXkYidbVAntjOr34fSI5uvDGtPW2WVPE2qKPL8HRcV+tLX24Ot9rTjmuCpb5pEpkOZvQYqfBC54NzhxwoCukQx0NidbB3u1FcJSgwOT5zn4PC6EIjH0RKIoRvo+YrXIsh5aG9vw84Wr8MFbH8nzGlmMOZd9C1fdcxEE0boq5HaLGF1Tit1fNuPLXU0or0y/x71uEaUFeWjp7MWBlg4E/X1tnZKJwyEdMiHSQtX6D4hqk2rGXq2a1yAECL8B0vVTQGoFwIO4TwWXfxM498kDumapVyHqYXOydTCk3b/VyHaAlNqJBoWqCaPSboTWxjY8dccLePuZDQCAooog5l11Bi5afj78BbnRJokFjrJlgqBLPgQ6YvqVnJNj85Sx+gemV1FvzJStXC5KSeFyCWq9JLO4LbrRdfYYkC11bRjIBMP62NUXkSLolm2n3ZLtGLkRlfXRIeqA7BICzO2ny6bOA6kYpSijRg2Fj1zEgdjfQVqvAonvG9AVyrwy2ToU/lJXCarKMz4wy/yyenOoV7uKej6DOkHB8oCjhc+3fIHrpy5TiRbPc2g50IoX/9+f8chNTwxY5RpfK8fe7fqnfrZ4ValMwg4eTk8gKFPIRHc0ipBGD8Bk7URz5XUwmh/p/AlIx1KFaAGABETfA2m9GiT60YCuWeaRCX5H7ACiCe3zKGk72nt3mYny57diOwNcoIbdTbjmhDqVaAFAW1MHXvx/f8aK7/78iFK5HLJlgkJ6YDKoE4Vu2ThZyJaROgGA6e61s8YWRdUoOfD7wH7tzZ6iMF9JQ+/WTkMHUoioAZmgMFseQgjCCaps2UO2Ut2Ipm5WlWxpH4qABduB+ebWaVMD81SMqpZtJ9NxW3aAK/kfQJwISM0grVeCxL+2fI0STw14iIhI3bpZZSN98hp+3atDtpQDs7lHh2z5aCylvnozGEiShAevfRztzR2oOaEaT+54EK90P4e6J24Az3N4/cl1WH3n7wd0bUq2vvynfi27kSUy2fr6UDrZyne71XtKa31o7cRug9qJgwWJ/h0IrQHAA/6bwVXsAFf6F8D9TQARkPbrQeJ7LF/XJwbVdnN6bugqRdlqDndqFm41JeqK7RiV8xksnrz9eXS1dqPm+Go8suk+vBH5PX78hzr48r3Y/n878Oubn8p6WZaBwiFbJih0jwIAtEcPqv553bHKgdkWNT8wQ3HtoEJqNyzKTVenva4gIBl7Y0q2/LKCEo0ndAMqfXRtGJ5WzJ6y4ySspmV7+YDp9TIBuUcZh6jUowbr66HQLdtOu4Eb0eei66NnO+ybDiXq9toOG1E/EsGJo8EVPQ0IYwHpAEjHEtP9oz8EzqUWqGwOf6E5ZlSevIat0W7N2CJ6YOqRLTVxRackS+pdZtSTUw+bX/0Quz/Zh7wCHx5YfzfGHFcNt9eNb//7mbhl1bUAgBfvfxlrf7fR8rVrj5Fr2RkpW6PKFLLVkn7/cRyHcoP1yRcV176B2kxXSHUnWgTp/rX8P74LwQcWg+Pcsu0UPgKIxwNSK0jb1SCSdmFWI5R5ZXXrUHiX5u+L3fnwCW4QEDRouKGTa6P92Wa2AyTtRzJpWK2FLz/ag3f+uAkcx2H580tw7Cm1EF0ivvW9U3H7c4vBcRxee+IvWPOz/7F8bTvgkC0TFLgqwUNAnITRbdLnjipb7QZky+eS/dwshMIMXTmgTlQrrqCvTVxBPo8LXoUstHXrpFor2Zl6RNQKqAuRhwgXb4+rTOQ9CCg9EtujxsoGtR1joq6k6jMoW2bIBdsZNVpRZY5CsgUAnFAGrvgZgPMDsU+A8J8tX4MemM0RbbIVcPnU5IqvQ+n3YGW+UkW9W6c/oJq4ou0qSw1slkyaDmuBHoTzb5iLgpK+Dz3nXn8WLv/J9wEATy5/HiGDEAMtTJgok62mxg61bVl/jCqlypZ2EHiFX1kfDUIRpEkrBmSLU45Qq0QaAEh0OxDdBEAEl3993+vyfnBFTwLCKCDxNUjPU5avX664EvWIOsdxGJWnuPJ7021HXRsd22HJMKf2MxCy9dw9fwIAnP6DUzHuxDF9fveNfzsZix65GgDwuxV/QPM+8/7FdsMhWyYQOBFBxR3UGjWOvShSDszWqP5TiG8ICYWqbAXsUydo3M2+vcZElOM4FAaUVOsu7Y0xqdwMnkxQsuUR8m3JtqMoUpTR1qhxz7wilWwZ2Y6xKmoFOWE71cpGv7fliHEFWAUnjADnvxEAQLp+DiJZq5hf7p0IAGgO/VN3TDU9MHu0DkzZrrTIBJA8MPViKVNT9q0emF9s/Qqfvr8TLreI85ecoznmouXno3JsOVob2vD7+16ydH1/vldV1nd+pp3AVF0ul7vYp0e2FDLaqEEoaNJKdzys2yKLtg2TMACy1fu0/D++88AJ6QkinFACLnCb/I+ep0AS5rGfqaDlQprDRrZD3dAatpNP3Yi9mi3UKFHvMCDJNKlCMuiaooWvv2jAX1/6GwDg0ru+pznm326ahymzj0csEsPquwbmis4mHLLFgGK33HurNWJMtoo9+co4/QMzT1G2enVcQRQsh09nl2zkARuDnGlPxAP7W007wJcEZBWltVMnu4VxbQBz2d7u4HiKYo9sO20mRL3YrdiOAdnKcynZUSzrY2I+XZ2y7WS7gXkqRlYXgxc49PZGcbhFu/DkUQH/VYAwDpAO/3/23jPMsqu6Fh1rp5Mr51xd1dVRHdRJrRYIhIQkMEkGA/YlyQijKwwGh2fgs7l+NvCwAT/sZ9BFBIHhgiyBAFlC2BISip2DWt3VXV0553hy2u/HWmvXOWevvc+upC61en6fPro5+5w6tXvutcYac8wxoS/885LeWunZBIBumFZrQr2XPoMidqLKT9mkiVBIuGEW+ew3zEwj03zPd278+ru/BQAcuuMASquLhddoLhV3f/3DAIAHv/orDHYsDVBs2kJBSscFMdhqKKc/d2xmQTiWqNoAW+b8K8jwSlxIitktidADUFpf2gFRT00B0f8GABDvB60vdL0ZUPcBiEJf+MqSfgYH6tPxfiTS4u9vlzulHi8USUJa1zEhKLMW5skdAFDYmB4+hcBp/Nf9TwEA9r9lN5q21QuvIYTgY//0AQDAkz96FhePicul6yWugi0HUeqiFOZ0rNf+Oo0ubHYbpo9524QE4zOADGGzg0NkcB1otsorC+H2qEgm0xjKY25aWsC6W+bFpTIfAxOhhLXgkrNU+W5PLM2Zrcuj1+JRotHcmcqXOy6WOzZAfTF3xGArk8HLB0YXmPWDP3D5wJaqyoa5aV/Pyr2F1msQooEU/B39S+SnS+pOLNWaIEFGNL2AhaTYLb3Bx9jlkPkelnnphpmy2DCL/PTff9aitE8IgSTTvFoK2Eqn03j6gecBALffeZPttQffvhf7btuFZCKF7/z1jxz/DABo20x9EC9ZgK3igAd+jwu6DgyMm9ktDkZHFsxgS5FkYzLInIWWUgIFE1wf6jjizwNIAspWEHWL5WWEEJCCzwOQqD1E/JjjH+FXy+BTSqEjjXEL3Va9Te7IkmTotkYEYDRf7gCAwpjRxBKrFad++zIA4Mb3XG97XdueFtzywRsBAN/8s++va4b8KthyEKUOhsLS6+gpacpuw8wDKCTiXHC5sA6YLUkiaGqmXS+93dajMwCglOmDJucswJZG7000mRSewgFAcihI5czW5RLH8zByxyHYCqfiCFt0PzkDo/R/8zNblx+oA0Ajy50+mxl3V0IQ1wHWYZaGHnYOKBRJM4ZSWwmdG3yUnbDaMLn2RrhhssYVKx0lQD2tACARdw62hi6NYGE6CM2tYseNW22vJYTg44zdeuGXxzHcZS14z418InlCCBpZKbFv3HwYrA4wsCW4N0B+LaUi0WcyvUSwpSdO0j9o+/NeS9StgIdq25aq3ap0c2ZUrNuyyx0AqGZgVFRmLfY7yB3X0nMnFonh0gnqD5YvdwDgzi++H26fC+df7MDJJ15y/HNe6bgKthxEqeHG22MrhOQbZjAZRdRinpafAQprZovulqk8+ohUMo1ImH7G5dTdAM7mlAFAWR5mi98bAAhbAAp+f/J1RsUyNFuXMzjYCiYnEEvZgHDFZQwVnoyJF35+f0RDhXlIDu+PAdQvI7MFZI9dudKD+D5E/xB5EHraedk0n/am0ccOOyExYK1hgGJo3uy0Xsz+/WcsdJTAItiK2wwczo32w3Rzb9vbAsXBEOKGzbXYd/tu6LqOX/zrrx3/nJaN+UXyjZWMPR0zgy1+b0TMFpC/6Ukm9JlM6ku0P4ifBgAQbbejy4mPisERe2pJzOhiR6IYbDUysDUanRPuWba542fd9wv5gfpScqfjeDdSyRRKqotR2Vie9/qy2lLc+uE3AgB++W+PO/45r3RcBVsOolirg0xUJNIRzFn43QDUl8Ul0eSastwwWQeHxYYpZ7g021GiwYwRJz7f5QVbzS3U76an037DLC9kYMuC2dJk2RhptGDhSsyZrXSe7p9Ymv4M92UuI7pkv9GROBnrsb22zEX1ZRNR8fgRDrYWYtat1nywciqPIDXEwJb/MjNbzRvovenOkztXRGivA5RWQA8BYeeCXg62xvJsmHOJsBAU8A1zWAAoirmO0mbDdDF2IhZzvmF2nqK53ranxfF77mAi+l9/90kszDizOvAH3EYp+tJF8drcVElF4L2j5q7XmgB95sZDIeEYrMWmJwtmi9D1PJl2DrZ0PQ4k2b+lco2j9xClmTGjOvTwDx3/rAoXB+ri3ClSfShQPdChC9ktfn+GFsxrUkkGULfaq7Rl5A5ntbYcaHXc3PT2e24DABx+5ARGuq191y5nXAVbDkIiMkqZ340VlQ9Q1qXczTbMmHjDDLjsN0xZWvwnsWO3ONjyeLXLPlG9pY2ZC16yT/LyQsoyTViALQAIMDA6n+f+pPKBLcYiaZLP9rpXIhadwO0FnOVuuilaMVsBlz1QBxbBul3nWDyeNBY/n89l+53WOnju9HZPILVEEe2rLQghIL6PAgD08P3QdWdmmZW8I9FCJO+WNVS5WalMsGHWFlhvmJxttuoQBgCXm2oFY1HnpbLul/oAABt2Nua5cjH23LIDzdc0IBqK4T/v/W/H78un22quomCrRwC2Sj0euBUFOsTsFq9WWB2eFYmDrSXYViQ7ASQAUgDItY7fZrBbkYccd7VyoG4lkieEoIkxo30CZtTIHQGzxTW40UTS0kXe5Vp67nSepkC9ZVez4/c0bK7Fvtt2Qdd1PPwvjzl+3ysZV8GWwyhnc8qs/G4Wr2Mnpaj4YQgYzJYFmMhotU7a+NqEgvT9l3uzBIBW5uRsR+UDQHkRBVvjM9YlFAOMWt0f4hBsMWbLtQ7AVhn3u4nlAVuuQnadfe5YAVEAUBwwWzx3ADqj8HJGdU0xPF4N8XjyCh3bkxPu3wOkaiA9CUQedfSWMtcGSJARSc1aiuQ5uyUqJdaxDXNQsGGWsNlyoWgcEWjwme4AACAASURBVIvGCzcbyxJZglN433nqK9d8TYPj9xBC8J6/eDsA4OffeBQJi++TGxsZ2LLqSGyqWiwj5oJVQghqA9b3p5R1CU9ZND1pzMMvvpTB40m2DihtS7Ol0a4HlE2AHgbC/8fRWzJF8lZzEnkZuidozi273PG4VGM+4pRFh7nHs/Tc6X2ZlklzvbXyBbcXefx7v0Vw1vpAf7niKthyGPyEMBm1HgpLr2MbpkUpqNDNului4g1TyQJb1qLCEGO2fP7LD7Yy/W6sqHwAqCxmC9dCGAmLzqZCFzNZtAAUCmGtxHnAVjxFHzZNvvxgq4IbU9r43dDr7IF6oZuDLZtWa5Y/tkA9RO+t16tlgfvLEZJEDLB+6WL+Ye+v9iBEA/G+FwCgOzQ5VSSXof0bi1wUXtPkZ+xEUAS2mLHnvGBkjVszzIanLBhnj5dtmGFnG2ZwNoTZcfqz6tqWNmD8je87hJLqYsyOz+HY46cdvWfTFgq2LraLbSPqy4sgEYJgNC6UMCwCCvP9ycdsccPkpTBbepLJCZQNjt8DcGb0j+lnRB50bKTKLSDGouLcafbTUr4IqNdn5I6IVS0rtNfhuj3MiNkh2NJ1HYMddB2o3+yc9QOAvW/eieZrGhAJRvGb7z+1pPe+EnEVbDmMMsZsWc2Z4lHJwNZoRGyix8HEbNTC1yZj80s42jAvP9gCFoWq3Z3WpcRivxeaIkPXgfFZ8UmxyG1/f1SJgq2EhckgD85sadLlnwpv+N3E+pBMW7NSi7kjBltFBlC3AVsKuz82bfphnjvrgBUFMpgJC2PKKy7clL1B/Ihjo0reVWa1YTb5WKNByMxO8A1zYM68YRJCjA3TqrzP2fNQ0Bmg4N2EJVVF8C6xAUNRFbzxfYcAAE/8u7MRPq2bqkEIMD42j5lp87qiqYoxtqdbUEqsL6Sv9c9Zgy2r0j4HW/G0NaNvilQvAIAoTc7fw8N9G51IkBoEEiccvSV/7rAGCyFQp0A0lEhgRrDuGGDLgkni+xPfr/LF9OgsIsEoJFlCNdNzOg1CCH7vT94MAHjyx88s6b2vRFwFWw6jzL0BAEEoOYVQ0tpPqspDtROjUTHYKvZwMCGmnWVJMnQ3dr42/JS5XjbMVqa9sZtTJkkElcWslXjaovvHbX9/VM5sCQanZkaCLX7rAWz5lTJ45CLoSNuK5HnujFnkTpGbzWqLxSytMVTWYGAH1CPh9QW2uOam4zXAbAEAUeoA7ToAOhB52NF7Kj3Ui2ksekH4erPfesOsCQQgEYJYKiWcAbgItsQHIM6eO90wx/upbqzCQSeZKLhv0uFHTmB+Kn/Xps/nQgMzV7Zykt9QTf2kRLqtBga2BgTMFmebJy0qFVymEE+HkdYd2huk2Hdcgl6LByFuwH0rAECPOJsJWOmQ2eoPT5qc8l2KYox8Gpgzr0sVhg7XPnfCIWfM1lgvPSyU1ZZAZb6CS4kb/+AgZEXGpZM96DtvP7XjlY6rYMthaJIHxRp1srVqowWAajZJfTgiBmTFbMOciUYtOzj4hhl3ALY4xX+5Y+MmLlK198ipLmGdUVNi9qbYw+5PxIL5Y8xWLA/YijMx6HoAW7Rxgmn+bHKHgy2r3OFAVIc1u6UxZkvkls0jzIH6OskdPuOuu3MMqWXM33s1BvHcAQDQIz9zVA6q8mwGAIxFO4SbOt8whyMziKayNzZVlo2OxD7Rhsm1lBbshJ9Zy/CpA/mCg61yNo5pqdGyswkbdjYiEU/itz95ztF7uJP8hXNDwte5SL572KwLbChkzQWz5nvDNbhT8aBQJ5ppLRNPO9QJcTZTWlqJlQdxv5P+Ifpr6Hr+fxM+hWA2Pmj4D2ZGtacILklFPJ0Urj2cGe0TMH9chztmUanw+WnuBB2yojx3nFg+iKKwrAD7bt8FAHji39cXu3UVbC0hFluwxScEAKhhYGskYhZjAkAJAxPxVAohi7ErLuZNYrdhcsGhx7N09L8Wwc0FB/qnbMsNtWww7PCU+KTI7890REzLu2T6+8bzMlsUbF2uIdS5UZHRUWYVNR66IcwnIggmzfdQkSQUso7E6YiY+dPYeIx4Ij9Qd3vWB9iqayiF26MiGknkHWh+xYT7VoD4aTko/mLey0u0BqiSB4l0BNOxPtPrxZofRaoXOnT0CNitRgYoRKUyDrYmLDZMbpocXHC2Yc6MUtBiNaLHSdz2Eeo6/+vvPunIFXzzNsoStVuALc5sdY+KwBYvI5rBVonLD5lISOlp4XQHmahQCQUUURsfPR66rgNp9h3kpZXJjND2A1ItoC8YI3/swiMXolCl92csYmZGJSIZmr9ugUi+wcgdO6Au/t39AbpeBR0C9ekRljs1y8+dWz5AmdEnfvQMUja651c6roKtJUSVm50uLUSqwCKzFUrGMJcwAwaPqhoDhafCFoCCCVajNkZwUdZKyzuFLncUFftQWUUXLauuIGARbA1OipmtEg9loqYswAT3MYtZmMbySLATnypdXh8pHou6CWuw5VNcKFLp7z8cNpc7gMX7YwlG1fxA3ciddQLUZVnCRsZuWYmcr7QgxGNot/RI/gHMEpEzykHiHNrgp6X87qBZN2nH3hilfYsuYW58Oz/vrOOOi+OLKgodXS+KN/3R66BqCrrP9OHSSXEXXWZs2UrBxMX2YaHtSUsNA1vDUybwxu/NXCxmki/IREIZ022NWTSu8JFg0ZT4AJkV+jwAtnZJJfmvFwQhEuB5F/24yIOO3sOZ0ZFou/D1DYwZFeVOU5Fd7jBmyyp3GFBfsPFxy4yZMfozVpI7171tLwIlfkwOTePkE2eX/TmrHVfB1hKC07Gj0XbL05ZbVlHBqOdBiw2z1MsBhXjDdGscbFkDijjzSeIeOOshNm1lVP556w2TC1UHJ8S6pFLGbE2GLbpbmMu6lUM/Dy5E56aDlzs4UJ+K9VgOhQWAOi/dFPLnjvgz3EznYJc73PPG7Vo/udNmlIFeG2ALAIjnHfQPsaeo0WWeyMeOtgQ42DKzE8aGKWAn+IZpZcnCh5Xb2bpkBjckLShdvqFwQWkAB9+xDwDwu//Iz/w1tZRD1WSEgjEMD5lLYU2VJSAEmA1FTZ5iXlU1ZgAKAYXRYS4GW3zYvSOwxf2xiBdkBWsTLUMTIH4Yeir/eKN8RIEdUG9kudNrA9THLUxoCwp47jgDWwvTK88dzaXipvffAGBxoPV6iKtgawlR7mqFTFREUnOYS9gACmPDFJdEyr1MkCoQqwKAh22YERtmKxajGyZ3d14PsXV7HQDg/MuDltfUl9MHd2BCvHCVs0Vv0oL18xpgy3pzSulJ6KD6Cm46eLnDr5bBr5RDR9qWGeW5M2CZOxRsjYfEixv3vYnEbMAWA+raOsqdLdvty0BXZKg7AakC0INA/IW8l+cTOtttmE3GhmkGIlUlFCxYMVuFRTTn5madga0QA2W+wpXpJV93xwEAwHMPH8lbSlQU2eiI7hCwo25NMdaeToFui9+fHgGg4IaxVk1PHpm+HkmJX88KnQEysrIxYkSpA1SqTULsybzXc6LAyhi3hefOgjVQF4GtKqbBHZ8NCu1miorpeu40d4KsI3aluWM0WfznCcQtDFdf6bgKtpYQiqQZp8vhyDnL6+psJqkDQLmPb5gWYMvYMK2ThDNbqrb+NszzZwctF0e+4E0vhLEQMXc3cSA6HgoJP8OjULAVtgNbGaMzFLI+yqwAUMU6yoYj5y2vqfPS0oJ17nCgbmEiyHInbAO2EvF1CLaY5qa7a8yxn9OrPQiRAPfNAAA9+pu81/NS9GSsWzgehjNblxbMTEdTEZU39M7Omp6rquLFDTMh0LgUFdP1anbG2YYZZtqupdo+5Mb+t1wL1aViuHMUvefyd5Zxvy0rC5GWGtqx2Dlkfrb4/emZMYPRSt5hbmHn41Ho6+GkA7DFRfQrBFsAQNy3AAD06H/lvbbc1QIJMsKpGQSTZk0fz53e0ISpI5Hfm6lI2OR/WBrwQVVkpHVdqNviuTM/F3Y0IcLInYKVga22vS0orytFNBTDmaet9+pXMq6CrSVGjWc7AGA4bF0Ltht/AAAVPkbbW4Atv4e1WtuMOOC2ECoTRK+H2LipGpqmYH4ugoE+MTPj97hQxh4k0WBYTufHUynMCcw7fTJrJU5at6GnsHjfJLJ+AAXPnZHIy5bXcKGqFdiqNHLHovuHafjCNkA9wcTz3JNrPURFZSEqKguQTuloP//aYbeI63b6h+gT0HX70niBWg23XICUnsBkzKxj4uzEeHQO84nssk1DYSE19ozHMZFToi8JZPjfCcpBnJ2YnQ3ZjoHiEWfNO9oKGzC8AQ/2vHkHAODZhw7nvZ53JF68IK46tDLdVuew+dnaUMzAloD5q2Zga8QCbHkZsxVOWVsCLQZb08gqaEld1FMK8aPQ0/Y/O8sYV8CMVrmL4JNdSOop08gnv6YZ63IuGKV2PnRNGpk2l1ELCrwgBNB1YM5BGZrnjmuFuUMIwfWsDH34keMr+qzViqtga4lR46WDQ4ci1mDLGH9gAbb4hjkaFNP2fMMMWbjMA5kb5ur8E0bDMcRt2BAnoaoyNm+jC97Z09aT6Zv4rLIRMyBzKQqKmcXByIJ54fcpDIgmY5bs2WJrPIFEVgdQ6GnrYatOo8bLgHrknKUnz2LujAt/XiXzvBkJ2oOtoI1jMwfqqwW2dF1H0kaQ7zS276TWKi/b5M4VF9peQCoD9Lm8XYmEEFuDyoDqMUpenTnslktRDIPKbsGGWWVYspg3TA620ikdCw5E8rxso62CnvT1v38QAPDMQ/l1WxxsXbowImRR2mrps9UxaF6Xm22YLX5PRywsWbwKfW/Yxn/RCD4PcxW0pERpAJTNAFJA1EEpkeXOqKAjkRCSwYyamUHj/swKhnmzMvSIIHdkRUIhKwnOTOe3xljN3Dn0rv0AgCOPnVrxZ61GXAVbS4waz1YA1LPE6uHinR39oUmhN0s187yx2jD9DNUvhK3BFj9hSisYtxKaC+Gbf/Z9fGznn+MdBR/Au8vvxHc/+2PMWuipnMSO3XSelR3Yaq6yNhgEFu+PCIz6VVqaSENHKCW+PxzISFgZmNDjx5Ce/hDS4wehj++CPvU26NHfLht0lbtaoElexNMhITMB0Bl3BATziQhm4ubFqdpvD9QDzLHZNndS9PuvZFRPKpXC9z7/f/CRzZ/E2/z/A2/1/hG+9sffxPSok9O9OK7ZRefovfQaAluEyICbMhR6NP8A3UpD6Cw2N20NUN1SLtgCFjfMXLAFADWlVAQ+JPC/U1XZEMlPT+W3N0gz7Y6yCqz7wbfvhaop6Ds/mLeUWNdQCq/PhVgsid4eM6DaWEfLiN0jU6bZoRuK2QFw1mzZk8870afQ9zoCW+A/d3UYd+K+DQCgR3+d99rKDK82UfDc6Vowa/4482eXO5Z2PmV0zXqlc2fH67eisCxgiO4vd1wFW0sMt1yAEo0CihEL7U2mSdyQoKuMb5jDC+LkLPCy+YAOwJYsLe+fMB5L4G/f+Y94+F8eQ8/ZfqTTOiLBKH76lV/gA8334IVfHVvW527fQdmJc2etF0beht0lYLYAoMrPTtkLZkDhkhTDRX4hIT5lc3E8IctPbz1+DPr0nZRt4L44yQ7osx+HPv1H0NMOOo9yQiKyUUocsihDu2XN8GoTCZ0NoL6wIAR9AVaCng9b+9rwjUaSljAENyPS6TS+9sffwk++/DAGO0YQi8SRTqXx+Pefwoda/xS/+mZ+/ZEodu5uAkAbLOI2zSFXWhA3HaCL6H/nLSXyFv5RCyd5O7DFAUX3jHlNquP+d5MWG2ap8w2TG9OSZa5NmeEv8mHPrTsBAE8/8LzttZJEDN2WyNy0tqwQbk1BLJFC/3h2SbChsBCKJCGcSJgOwbVe+jwGk1HMxc2lMK9C17NQyoFHHGe0V7A2ZQUDW4i/mLeUyIH6ePSikFnnuSNktljudE0LmK0yymyJgDqwmDtTk/mnAaRXMXdkRcahd+5f8eesVlwFW8sIo5QYfkn4ukQkY3yGqA27ltH5wwsLSAs2zEWw5Xy46VJC13X888fuxUu/Ow9vwIO/uv8T+MnAvfi7h/8KrbubEQ3H8A9/8HUce3zp9OuWbbWQZILRkTmMj4kfPg62OofEi1MtAxRDAjBKCEGhxkSXFmBrpaEn2qHPfBxADNAOgZQ8CFL+DOC7C4ALSByHPvMx6EuZh8ZisZRoXYbmdH6XCGwxIBpJJoXGpkU+1mq9hrnzjY9/G//9w99BkiXc84078YNL/4p/fub/xuYDGxENx/Cvn/gOfrOMluu6hhIUFXmRiKdsxz5dcaHuAUgxNalM2D9zHGzNxAeEbuCtLHdEYKulxHrDNPzvrCxZythAZgcbJiEMxK+w7M7j9e+mpcQXHWhvNjO/rQsC3Z8sSWi1EMmrsmyYm+beH7esoUSjgGEoYr53fg62Ek4MeVf33hBlA6BsApAEovbPXKmrEQpxI54OYyZuPgxvDFCgKswdxmx1CYB6bSnPHfF6v5g7DhgmljsrlWzweB3LnfUQV8HWMqLOS0WbVmALWGzD7hIkbrWfziqLp1JC+4dCNuJgNmgNJpbHSdB4+BuP4Yl/fwaSLOFvHvxz3PLBG1FWW4rr37EP/9+RL+P17zmIRDyJL7zrn3DyyaWZwnl9Lmxsow+tVSmxhbk5j0zPIyRoy+WDYQfnxafsQmb8KTplrjR0PQF99h668al7QYq/BaLtBJGrIAX+EqT0PwBSACROQp/9n47GZWRGrYfnzlnLBcWOnXApCiqZWHVQMMvNUe6Q5WfP8784ise+8yQkieCzP/ok3vmnt6OmpQrbb9iCf3nhi3j3Z94GAPj6Xffi+V8cXdJnE0KMUuK5s9b2IVdaECIBrtcBAPSY/fDlTDfw0YjZoNIoBQXHkM6RMLRysCVitrj/nYXZcCkrBU1O5AdbXNrgREzvJPbdtguEEHSf6cPksFh6wCOfkzwHW5cEHYmL98cMmniXsKhS4WNgK5pesB00DwAwNKSr6GzuYh2tcfvcyTTGFeWO0WARmzetra0l9HfsnZ01lWDzeSeWlTOw5SB3uLQhvUpju3a9cRv+7hd/tSqftdK4CraWEXzDHI91Ck+XQMaGGTRvmKosGwyFaPhpsZ/pIxaswQRhJaDcxM8XiXgCD/zjLwAAd3/9w9j75p1Zr8uKjM/+6JO4/h37kIgl8OU//H+XrOHasZtumKdPmseKAECR32MMvxV1BtWxWVwDgtEiAFCk0fdOx8UnJcLS2snMOVNEf0NHqEilIMX30sGvmZ+tbgEp/g5AvED8BegLX13Sx1e426AQFyKpWUzHLcCoAdTNzBaQcX8EYHQxd6zBlsTA1nI2wwe/+isAwHv+4u14w3sPZb1GCMHH/ukDuOVDNyKdSuOL7/tnRy37mcE1f68pkTwA4noD/UMesAUA1cxCRLRhNnjLoEkKIqm4SWPUwkpBQ/PziOSMCuOWLPk2zMlxBxsma7xIrULTBAAUlReibe8GAMDxx0/bXsstRPp7J4VjwzbWcrBl1nRtMEpl5nKcndmwS/JDYetEMCnuIl4MDrZWr0xOGFBH7Hnouv3ncvsZURnar7oNfVruQa8mEIBLlhFPpUx7Fs+dibkQIgIz5bIKmjsTE/mlFzLTaiVXSUagqAp2vXH7qnzWSuMq2FpG+NUyFGsNAHRLdmsjA1sd82LPl8V5XGZAUVpAwcSMzYa53BPA8w8fxfToLEqqivDWP7lZeI2iKvj8Tz+N5msaMDsxj2/cfd+SaN1de5oAAKdP9FpeY3QGDdjNcbMoaTBK3wps8Q7E9DJOj3r4hwAA4v1DEKlAeA3RdoEUfYP+Jfzv0OPO9W2KpBm6rcGwuGS00dBOjAobLBptxmeUMFuN2WDEEojLrIN1qUOfzx/uwPkXO6BqCu74s7cKryGE4M/vuxv7btuFRDyJr330W0uaT7bzWgq27Ixxr8hw3QBAorrAlL2Lvl1HoiLJRoPOpZy1p9TrRbHbDR1moTPfMGdDUcyHzCClrII+C042TN5Jxr0AVyP2334tAODor0/aXldc4kNVTRF0XTz6qa2OdySKmC0mb5g2M1v1NkbVhBD4VQrigglxB/rixawL0cHEAMeh7gRIITVMTZyxvbSaNXhZ6Y03WrDqsiQZZejOnDJroc9taEWHBAfz8nKWO2NOcoc2hyVW2Bm/HuMq2MqIpQCKei917+0PiR/+tgJaShsITwmHCts5OpcE2EiWBWu7Ad6tkbAZOCyKX3/vtwCA2z/6JqiadXut5lLxV/d/ArIi47mfH8Hj7H1O4pqdDZBlCaPDsxgeFNP+m+rpondR0IbNgehMNIq5qPnelbiY4FIwGBYAZMNbS7e0WBCFnugAEqcBqIDnfbbXEteNgOfdAHToc/8X9HT+Ez+POp997tT7yuCWVcTSCQwI/LY4GBU5Ohf5PSAESOu6ZSmR24Ukl5g7j36bDr19w/sOoaTKelCsrMj49Lc/Dm+BBxeOXMIDX/ml45/RtKEcRcW+Vd2oXw1BpCJA3U3/ErPX3nA38DELN/DWDLBueo0BikvT2XnlcakG29wvYLcqKpayYTKwZWM/stTY/xZ6b07810tI2IyiAjL8tgTmppzZGpmex0KOrrHVABMCsJXHqDqg0PVsQWAYmhUG2Fo9TSUhMgPrgB572vZarvmbjvUhLhgbZpAEApG8kTtT2feHEIKGCnYAHDfvZ+WVLHfGnedObBVzZ73EVbCVGaHvOr60wbcHANAXEos2izU/KthMrdwTJgA0F1v7unDTz0QyhTnBKRMANOYcv5SurZmxWZxmGiw+zsAuWnc348N/T0HHNz/1fUyNOGvr93g1bL2Gju45caxHeM3menr6bu83l8p8mmbokkQmg2Vs9uRkTAxw5AzX+OQSTpB6lJbI4LoRRC7Pez0JfA6Q64DUIPSFLzv+OTx3BsOnkRLQ/jKRDLHqhXnz6dzIHYHnjSrLBlifmBP72iwnd6LhmGEs+ZaPvinv9eV1pbjnG3cCAH74v/4DnafEeZAbhBDs3tvk+HtdSUFcbwQA6FH7g025qxUSZERSs1hImhtw2lju2G2YuewEAGPD7BdsmBVsyLyTDdPDdINRi7VrOdG2twVFFYUIL0Rw9llxJyYP3pEoYrYKfG7DU6wjR7fFy6xTkYip+aTeS0HaQNgCbKl0PVtImP89soIwZ3R9dZt7iIut53nK0D6lFH6lDDrSmIh2ml7n644IqG9kuSPS/DVU0DVpYFwA1Ctp7szPRRDJA6J47kQEJeBXe1wFWxmhh++HnsrzsLCo9+6GBBlziSHMxsW0/+YCesJqnzeLNe08bzRVQRHT3ohGIAAZG+YSGIDnHj6KdFrHpn0tqG2tdvSeP/jLt2PLdbTL7P6/+anjn7VnP9NYHO4Svr6lgS5OncNTiAu0Hc02vi7lbqYBsBgMmzmiJ69glYWu6wDzOSKetzt6D5H8IIX/RP8S+Rn0hFlDI4oKVyvccgHi6bBQdwMs5o4IbGV63oiYjfJC5jJvlTtsTE9sCVT94UeOIxKMoqq5AtsObXb0nls+eCNuuOMAUskU/vdf/tAxc8xz5zUX7pvo/8YPQ09bG0AqkoYyF71HIr8tuw2zrVTMTgBAI9swhZMdGDvhZMN0sw2Tj15ZjZAkCQfeQkuJ+RzBObMlmpEILEoYLuWw6j5NM4xfc9ktzmxNx0MIJsy/V0DhYEusszSC0EMk9PwGn0sK1+tBy9AXoKfE0hUedmVonjvdwTHT2B7O/HUIcseO2fL5XfB66Zo8nocZ9bB9L7KKubNe4irYygw9BH3ha44u1WQvqj3bAAD9oRPCa7YWssHMc2b9Ca9/d89MC7U1fF6Z1XBYj4fNT1wC3cqtHG541wHH75EkCX/y1Q8BAH7z/accMxT7rmsBAJw60Ws4lmdGbVkhCn1uJJIpoUi+pdhaP1HJGMMxC7BFiGQIVhMCqlwYqS4qjIcGuPKzfsbP0vYA7tsB6NAX/h9HgIIQKYMZFeu9ttjkTnNRMQiA2WgUUwL7B35yH5u2yB228EUjzsHWyScoI3rDuw447mYkhOBPvvpBqJqC0799GUd/7cxK5DULtuQWQG4AkMjrJr9YShRsmEzCMBKZMXnRcWZLvGFSsJXrQQUAPr8bPj8tgY2P2jfM+BgzH3IwnmUpcd3b6DNz+D9P2D5nGzdVQ5IIJsYXhFYVdhIGq/vjV9woddHnql/AbgVU2tQyn8wHtuhnQA8ur4HH6mOlkozB1E/bXlvBwVbEnDu13mJ4ZQ3xdNI0tmdjKWX3uqanTJZFjZXWQJ0QgspqCsby5k4hz51VBqPrINYl2Pq3f/s3NDU1we1248CBAzh61L6FfHZ2Fvfccw+qq6vhcrnQ1taGxx7L78YsjOjD0OP2IkweDT560rICW9vYhnlu1rxh1hcUwiXLiAm6OwCgmm2YohEIAOBhTuHhkDPmJp1O48xTdCDnnpwOxHyx7fpNeMP7DkHXdXzzz77vCFC0tlWhoNCDSDguNBgkhGBbI9UHnO0RUNY2J/BKNj5jLDpn+V00iZ6Q4k69sOKsy0nbDUKWNkCX+P8CgEo3yJgzbVuTj87tsipD89y5MD9kOmF6VNWwx7g0ZV74K/MAdS/LnZDD3AGAi8dpyWHboU2O3wMAVU0VeNcn3wIA+PZf/tDRWJ+y8gB+/33ODwR2cVnXkiUGIQTQmPYmbj8LkBtUikavFKgeVLNnJLdBhzNb/XOziCazwbbdhgnA2DBHRxxumLOru2HuuWUHFFXGSPcYRnusKxAer4aGJgoMLp63FslfFDTnLDJ/Aq0kKyWKZt4WqHQtm8/HbEkMbEEH9NV1NjfK0HnA1iJQN+eOlCFh6FjIvneNhYXQZBmRZNJkO5M/d+h6NTpiP6zbz0ZDLcxcBVtrHg888AA+85nP4Atf+AJOnjyJMWuxIAAAIABJREFUnTt34tZbb8X4uPjhisfjuOWWW9Db24uHHnoIFy9exH333Yfa2tql/3D3OwEA+sI/OgIUnJ0YCJ8SCrE5szUUmcZ0jphbliQDUFycND/Y1aXM+NQCbPkDdMMMLjjbMMf7JxFeiEBRZWzY0ejoPZlx11f+B9xeF84+245nf5Z/KKwkEVy7txkAcPyoeDTN9mYOtsy0N1/0RCfwSnchJBDE00lMWei2XDItpcXSzhY0PclGWChbHF2fGUSpB3wfpp+z8EXoDnRi9V4K1MejlxBJmjevRl8Z/Iob0VRCaG660YahqGG5M2ThmeRjZR5Ra7woUskU+s/TA0Pr7mZH78mM93/uDhSUBtDfPuTYXf6DH3XOLlrFZV1LlhnEdR37MvbPGBc6j0c7hGtPGytD5+q2yjI6EnN1W8aGOS4uT1dVOdswAyX02Ztf5TEpHr8Hm/a3AgBOP2U9zB0ANm/lInkz2OJ60a6RKSRyOmXbGHsjeq4afRxsmdfrAsZsLSTGbBkrQlwAP8yl7e/jksPFrFjix2wtILjX1lxiBJGUeY3gzV25QF2WJMtSIi9BzwQjwm7WqioG1Iftf+cCljsLgoHor/ZYd2Dr61//Ou666y585CMfwdatW3HvvffC6/Xie9/7nvD6733ve5iensYvfvELHDp0CE1NTbjxxhuxc6c1exOLxTA/P5/1HwAQ/90ANCBxEojnN2SscLcx7U1I2EobUD1GG/bZWbNv0Cb2YF8UnKLq8vjeFDCqPmhjD5EZAxcou1TXVmP44CwlKurL8O4/p4aVP/7izxyB0b2slHjsRbFua8cG+lC/1G0GW/zeDMzPYSGWDSgVSUalh90fgaMzALhleoK08kEzRZJ+R6K0OLs+J4jvf9KBwqlBIPJI3uv9ahlKXc0AdPSHzcyoRCRsK6Sjj0S5s7mMns4vTJpP2dwN3Aps8Tl3ToYKA8BI9xiSiRTcXhcqGsocvScz/EU+3PnF9wMAfvLlhxGLOGfUVhKXcy1ZdmhsvEiyA3rKurOtWKuHKnmQ0KOYjpn97PiGeTFH80cIsQQUdWWFkCWCSCwh1PtV1TjcMEvps7dgUcZeSXDPpFO/tTdb3sTA1gUBs1VTWgC/x4VEMoWekez1Y/GQN2la4xrYkHgRsxVQK0AgIaUnEEraG6+C0PuIPON1lhzKFmq4rAeBpNjaAaBrY5FGiQBRKdEKqAOLYDSXIPC6NVQUUaDUK2C3qms5K5ond9jon3kHkwpebbGuwFY8HseJEydw882L/k+SJOHmm2/Giy+KNQy/+tWvcPDgQdxzzz2orKzE9u3b8aUvfcnW2+fLX/4yCgsLjf/q6+mmRuQKwPtuAIAe/EZeQCER2WC3ekNicLajiLJIZ2bNC+ImtmGenzA/vNz3RqSfABY3zLk5ZxvmcBdlR2o3Vjm6XhTv+tRb4PG70X2mDy/+Kv/ojL0HqPbm0sURzAhOudc0V4MQ6lo9MZf9erHHgyo2Q/KCgPnjvjcDIfGIDDfzyIoKTm7CSDFAoyyduQEAIvlAfLT7Tg/dm9dcEFgsJfYGLXKnmJrDnpkx587mMrrotQvAVmbuiHKY587srLMS69AluujWtlVDWubMsls/8kZUNpZjdnwOv/6OcxuR5cblXkuWG0QqWWRX40csr8tyAxeUgzbxDVPQCb2pjG+Y2bmjKjLqypitiGBIfHUNZS9GhuxBQhHzVZp14Mm11Nh9Ex2Vduapc7br8+YtlI282D5sMu8lhGATKyVeGMhmOVtLSiARgploFBPh7FJWExvB1hs0P3MSkY2OxLmEvUAdEmWHkM4DypYYhMiARtcUxKxzBwCqeBlakDu8m/Xi/LDpHnMwKiIImhgz2iPInSpWgh7JA9SN3BlfmpH2qyHWFdianJxEKpVCZWVl1v9fWVmJ0VHxrLTu7m489NBDSKVSeOyxx/A3f/M3+NrXvoZ/+Id/sPw5n/3sZzE3N2f8NzCw6HJNfB8HZbeOA/EX8n7nZh+l/XuCYtp/RxHdMM/OmNmJreX04W0XgK1G1t0xMGEejwAARay2PTPtrLY9OUhBSXn90pkJHgUlAbzzT28HAPzgfz2AdB73+tKyADZuqoKuA0cF7FbA4zLGZ7zUZV6gtpbTxev8hLns08C6g0SnTADwKvTBDyfznx51XQdSLL8kZ12awvC8n55aU31AND+71eSnuqS+0DFhKWhXcRMA4PRMr+k1fm8uTk4imfPvUF9eBEKAhUhMaIxbzHInGkk4arAYH6C5sxxWi4eiKnjfX78LAPDTrzyMuGBM02rGelhLlh3a9QAAPc/6U+W2dpLfxDbMntA44uls4G9XKmuupkCgR8BO1NYzB/oBe5BQVEGZ1VmL2agriS3XbYTmVjE9Oov+dmvj2+aWCrhcCkLBGAb7zb+nIZLP0W25FdXwsctlb5oYs9UfmhSaDReqFODOxsWjgoyQ6NplDLhfxSAanQWYX/PHRfJmsNUSqIRMJMwnIhiNZoOjxdwxg61mNoatd0wA1GsdAnVmEzGzBrlzuWNdga3lRDqdRkVFBb797W9jz549eO9734vPf/7zuPfeey3f43K5UFBQkPUfDyJXAd4/BADowa/nZbca/XtBIGEq1oP5uHkR31HMHLHnBhFLZQtSt7ENc2B+zmTeWV1aAFWREU+mhCL54hImJJyPOPJL4h5ZpTUlea+1i3f/+dvgDXjQfabP8F2yi/3XU43FkecvCV/f1UIXqFNd5gWK35+XBRqbRi87ZeYBWyEHYAv6HABW2pIrbS+1C8pufZR+ZPDfoOv23X7Vnm3QJB8iqTmh0HlbYR1kImEsOoexSPai11hUBL+mIZZKmTo23ZqCqmKa0z2Chc/j1eBm5oEzU/m1EVNsHl3ZCnPnzR9+A8rrSjE1PIPH7ntyRZ+1FrHaa8lyg7jY8NzYC7brj93olQp3IQpUD1J6Gt05Y5/s5AsGOzFizpvaOvra8NCM7ainYrZhTo+usiYJ1GF8++vo7807ZEUhKxI2bmZedYKh1JzZujhoXlsM5i/n/lR5iuCSFCT0FIbD5nWlSKNs2mwiD9iS2aElnW+0zzJCY40lieO22tHM3MnNMU1SjNm+F3OYUZ473TMziOcwvs1VDKgLcoeDreBCFPM2Xao8d4KzoTU/kL3Ssa7AVllZGWRZxthY9uIwNjaGqipx+au6uhptbW2Q5UUd0pYtWzA6Oop4fHn/WMT3JwDcQOIsZbhswiMXGuNXuoPm8kS9txSlrgASegrnctr4C91uwy397Hj27yxLkiFYFdGyBYUeqBr9nacdbJhccMj1FMuNgpKAMWz4p1/5RV4wevAQLXUcO9Il9ATb3UoXqFOd5gXqGsZKvDxuFog3My1cT1AsdvYrdFEI5Z1VBiDNwCzxgmR4dC0rvH9ET66p/rzslkwUNPmoRqdHkDtexWWUg07lsFsSIQYYPTtmvj8bOEMxIh4vUspn3TkYDrswvTq5o7lUvP9zdwAAfvLln6/pYrpe1pJlhboXgAqkhylLahGcnZiO9SGRzj6sEUIyusqyN0zemDMaDGI2ms18bmDsRM+ooDGlqgiKIiEeT2LSxty0pJquW/NTC4ivwdgVXkrMp9vavJWuLRfOmXVbm5hIvmPQrM0ywOhk9j2QiWTotnpD5nWnmOmgZuN5Rk1J9Gfr6Txu88sJpY2uP3rEdnRPmWsDZKIimprHXELQsWl4tWXnTk0ggIDmQjKdRldOg4UBtgT7ldutopzNSBzst2ZGA8V+qC56EFwLsH45Y12BLU3TsGfPHjz55OKpN51O48knn8TBgweF7zl06BA6OzuzSlodHR2orq6Gpi1v4yRyKeB5BwBAD30/7/XNflZKDJmZHkIIdrNy0Klps0fVjkq68L8k2DBb2MLXNSzeMJcycyrE9Dm8LXsl8Y5P3AaXR0PnqR689Iy1EBMANm6uRmlZANFIAmdOmTcODrYuDkxgIUc4vYOBrUvTUwjnDM7ljQdD4WlEU+YF3e90fAZAZ4oBAPHnvzZPEMkH4v0w/djQD/KC0Q0BWjLqDopLRva5Q+/PmTEzo8o3zS7BKRMAyhnYcuIIzv2SViN3brvzjSivK8X06CyefiB/mX65sV7WkuUEkbyARrtVEX/e8jq/WgafUmrpBs6Beq5IvsDlMsw7c0tlHKSL1hxZkQyGYkBQmjM+vzRgjBObWYMN89qbF3VbKYGHHw/uJN9xQTDBo7oEqiIjGImZGkk2G8yWee1oZrqtbsEhr1ijer2ZuH0pmTCwhVQem4hlBLUPofuRHrN+vqgxLm0GEnm12TVYWDF/HGwNTs4iKqi21DUwna1N7hBCUMq0gZNDq6tpu9yxrsAWAHzmM5/Bfffdhx/84Adob2/H3XffjVAohI985CMAgA9+8IP47Gc/a1x/9913Y3p6Gp/61KfQ0dGBRx99FF/60pdwzz33rOh7EB818kTsSehJeyPPZqa9GQq/JJw3dW0Js0CYNlsgcLB1ZlQwWqOGT6gXszMVDluxgcXBnnz21EqioDSAmz9AW/Mf+ro9eyNJBAd4KfEFcymxsjiAuvJCpHUdp3PYrQqfH9V+P9K6bmK3Sl0BFKpepKEL2S3DZDAh1udkBafbmRHqisP7BwDcQLI9b1drk28fCCRMx/uFkwh47pwQgK2dVaybUwC2+Ay4S0NisLmYO/m1EZyd0DwrBxyqpuLt99wGAPj5Nx5d0jzSpcZ6WUuWE4TrtvIInSuYSH48an627Mb2WJUSm6vohjgTjGB63lzuqat3tmGW1dKNdy02zJZdTQiU+BFeiODiMTPI5MHLiN1dY6YZsqosG4fZXHNTDiYuTU2Z9JC8vNYtsGMpMpitIfuZrFyqkF59sAUs5k5eY1zGjNrljmjUHAejuZ3QpQVeFPrc0HWgTyBf4GBLpKHLjPI6eh3XGV8pse7A1nvf+1589atfxd/+7d9i165dOH36NB5//HFD6Nrf34+RkcUEqK+vx29+8xscO3YMO3bswCc/+Ul86lOfwl//9V+v6HsQpRVw3QRAh55nZmKx1oBCtQYpPSE0ON1TQrvyzs72m3Rbu9mGeWp0xNz5UcfEiAKnY8B5KzYA4wS4HNsHUfz+p98KQggOP3IC/RfsNQoHDm0EABx+7pJwc93XRk+Exy6aT4QcUJwcMZ+wFgfumheEQmYyGE3NI5bK10TAF8bVuTdEKgY8tFymh8U2Azxcsh+1XnpS7w2aN9bdxc2QQNAfnsR4jmP+TgbU2ycmEMlh/gywJSiTAJm5k1/Tlma5w9mKlcZb7noTXB4NXad7cebpc6vymaJYL2vJskKjXc5InLQFpLwjUcROcGbr0vwI0jmCbm4dktuc43GpqGPWIV2CEnR9o7MNs2wNN0xZlrHj9VRzZDcnsaa2GD6/C4l4Cr3dAm2WhUi+obAIHkVBLJVCb85s1hYDbJk/r0CthExUpPSE/YxEmZWx84zVWXYwkTwSZ6DbmDpXuOm6LLZ/YFMIorOYi2d/hpXtDCEELTVs8oeAGa3nzFZfvtyhQH1i4CrYWvP4xCc+gb6+PsRiMRw5cgQHDiy6ST/99NO4//77s64/ePAgDh8+jGg0iq6uLnzuc5/L0l0sN7jYGZGHbWcmEkIWS4kC7U2TrxxlrgDi6aTJM2l7RQVUScJkOGxykudOx71j00JatpZR+oNLSMrVYhLqN9Xi4Nv3AgAe/Kdf2l67e28TNE3B2OgcervNwHHfJmuwdW01B1sCzxd+checvjTZC49MAUVeweoaBGVGCRB7CnrS+vQNLHa0ijR/ftVtbJrHp7KZ0ZpAAJU+H1K6bmK3NlSXQpElLERiQmPcGpY7Q4POvX7sRNFLiYKSAN78oTcAAB782q9W5TOtYr2sJUsO9RoACpAeB1LW+bvIbHWYXmv0lcElKQin4hgMZzMNi+yEYFRWDS9BW4OtfBsm71wdX6MNc9v11Lrg/ItmoMCDEII2xm5dEpQSuW4r1/5ByiiV5d6flgAFW73BcVNHokRkFKlUFmFbSuQdz+kJRwbISw2i1AFSFYAU1R1bBAfq47FLJiPWgOpBjYeuEbnMqFFmFeVONRPQ2+ROf5+9jrackQzj/WvQQHAZY12CrfUSRNsLqLsBJIDIQ7bXbvBT6rYneMREIRNCsK+U1sePTmVbILgUBdsr6AN8Yjibvako8qMk4EUqrQvLQfWNzPgzz8IHAKqbloASqyhYfe9fUV3bkz9+FnOT1tofj0fDtftoOeyFZ82bAgdbFwcnMLOQfYq6tpoCjZMjZs+XLYVMACsY9A1kaChi+drxWXlsFRc+ojQDrlvox4bs2a3mAD2JDoXPIJYyNzvsL6Vl2KNT2aCNEGLcn+M5uaMqslGGbu83lyucUvrA2uTOHZ/+PRBCcPSxU+g9twp2CVdYEOIB1K30Lwnr8WF8w5yODyCeyn52FElGC2N/c7U3nJ3omJo0Wcu0sLzpEswsbTDWHPuNsIJZzIz3rYEIHItjo86/cNH2ANm2mfmNicAWO8yKKgdW7E2NpxguSUUsncRQ2FwqK3ZRq5/puNnqxwipFIALgL4mui0AgLab/q9N7pS4GqEQFxLpCGYEon4rJ3lu/zAWCmE6ZzZrq8FsWefO8OCMcF4uj8pGeu/H+tcmdy5XXAVbeYJ4qfO1Hn4Quk0dvsa7HS7Jj0hqVugmv49tmEcmzfXxvTV0QTg6lJ3whBBjtMT5PvND2dhMk7e/dxKplL3nlYvpbaJLmIeXL7Ye3ISN1zYjEU/iiX9/xvbagzdQyvqFZ8wn0dICn1H2OnIhe5HaVl4BlyxjOhJB90w2C7PZEACPmOYHAkAJW/im4r32vwjXaumrOziXsBE+iD4G3WZsULFWh2KtAWmk0CsYTL2vjAP1TtPGsreGAs7jw2bAuaXROnc4pT8zHbJtxQYAl3v1c6duYzWufyc1YHz0f//3qn3uFRUqFcnrcfHsVYBanASUCgC6kN3aFBALnZuKiuBWFESSSfTNZTPqfMMUieQ5OzExvmA7l5UzW2u1YbZeuwGqS8XsxDyGOq11mVwkf7FdwIzXlYMQYHw2aNKnWZVZJSIZzTldC+afW2Ic8KzBFiEEkOnaZcdariQIzx0bsCURGeVuui+Jc0fcYOHXNKOLPheMGmXEIXPulFcWwO1RkUqlMWzDqFc2MbDVexVsvbbCfRtACoH0EBB/zvIymShGKbFrwXzdfsZsXZgfxnwi+zSwv5YKK48JNsxtTcz+oNf8YFfXFsPlUhCLJfM68/J5ZcFVHvD5lrsoe/PofU/YnjAPvq4NhNATpqgD7rot1I8sF2y5FAW7WSnxSA4YbfCVwae4EEsnhBqKMhfVyk1F7RscINGFA/r86gq21T2A3EJBXPQ/bS9tYcxo94K5+2xnUSNckorJ2IJJmMtz58TIsEnMu50N+j4nAFten8vQbfV02ehLkJk7qzuv7K0fo7nzxI+eecVG+LyagmTotuyiwtBtCTbMjANJZsiSZMzXNG+YFCh1Dk+ZnodAgcfw+LNj1KuaKSBZqw1Tc6lo20uf7/MvWJcSeRmxp2vcZD3jc2toKKelsgs5flu2ZVZWSuwUiOSLNQfMFgDI9LlFKo9NxHKDM1vxM7azGiud5M6CuXFnkfnLvj+cTR+Znkcw55kmhBjsll0pkefOaM/4mjbQvNJxFWzlCULcgIc6X+vhn9he2xKgg0C7gs+bkqTCXYhmXzl06DiWUw7aW1MLAmoUNxHKBkPXNNPF4uUeM9iSZQmNzTTpuy7Zd90Fitlw2KnVnTl10x/eALfPhYELQ7Y2EMUlfmy9hi4wzwvYrQNb6CJ1pL3fdO/21dD35TJ/EpGMYd8vC+YHcrA1ERPPZlz8IDarDClAX737QwgB8b4HAKCHH7C9ludOb+gokunscqZLVrG7pAkAcCQndzaXlSGguRCMx02n8G1NFGyd7xsTTiFoaaWbRtcl+1IG99eaW+Xcufbma1DRUIbgbAjP/sy+6+41GYydQLIDetq6TF/pYW7gApH8ZlZqvzg/ZC7Dl4tLZU2VxVAkCcFIDGMCgO1Ee8M3zJHusTXbMLlu69zz1iL5iqpCFBZ5kUql0dVpzvPNDUy31Z8Ltui9GQkumLzIuEheyGzxMmKsz/73ZmBLT61RCV3ZAsAF6LNAytwFz6PCpsGCVw76ghOIprLXpC0WzF+Bz23MSBQxow1NbJh3j03uMGYrvBBZ9f3qcsZVsOUgiPd99A+xp6GnzCifR4NvL2SiYj4xKjzZHCijpbSjk9kbZqHbbTzcuewNB1t94zMmPRMAtLbRDbXzoj3Y4t4l3A18tcIb8OBNf/g6AMB/5ikHXf86uikcfs5cSt3dWgtVkTE6s4C+nFEhB+rownRkcMC0gF3DxiGdsQFbweQEwklr5o8QNx3gClBB8mqG550AVCB5DrqtWHUTfEop4ukwBsOnTa8f4LqtnNyRJckoQx8Zyl64W2pK4XNrCEXj6BTYh7S0MR8zh7mz2m38sizjtjtvAgA89p0nVvWzr4QgcjkgNwDQgYQ5J3gYo1cEG2aLn45emU2EMR7LBmxWG6aqyIahskh708g2w/5e6w2zsrEchBBEglFbPedKYtv19Pc+Z8NsEULQZuO3tdiRmP3cZ3qRmUXydM3tEjJb9QAIoukFRFI2a47CZmiuEbNFiAqoO+hf4vlzZyLaZdIal7kLUKL5kYaOzpwpBFZAHciwLBLmDpe+WDOeLo/LWHNGutdI03YZ4irYchBE2cDaadPQw/9heZ0meVDn3QVA3JXIwdbhSbMFwnV19OF7MWe2WqHPbRgNnu4yA72Nm+mDL1pIMoP73kysQSv27338zQCA5352GDM2A0SvYxYQL53qM+k9PJqK3Wx0z4vns81Pr62uhibLGAuF0DObvYDt5IO+BfMDXbLP8L4RaRKyYo3asYlUQkvRsGdGCZEyOlrN5rg8d05M95hm3R2sF+eOLEkGWD8lyJ22TdabUGbwNv61aMW+7c6bIEkEZ59pz2sh8poMlZYS7XRbvBQ0nxhFJJn9/Llk1Zjp15GjveEb5nnBbNZWpqEUgfTGDaxLusd6w9TcmtHCP9ixNhYHW6+nv3ff+UHMT1szILyUeLHd/AxsYZrY9gHzIWurxf1pZczWQGjKZKisSm4UqvTnTcWs3f8hc7Blc81Kg5US7XRbxVodVMmDpB7FtOD78lJibhMSB+qXpqeQyBnb01pL14tLg3a5Y99gUdNC1+Phrqtg6zUXxEPLQYg+YksPb/DTzjJRG/+1xc1QiYyR6Cz6Q9nJZmyYg2aGZleL9UibTVsWu23sWvMrmxZp/dWO1t3N2LSvBclECk//1Nrxur6xFDV1xUgkUjhxzKyjOri1CQDwYnv2Q+9WVMOP7MWB7PtzTXEDJBAMR2ZMPlSA/ak/KwwNxerT+gYzGn0Mum42veWROdQ8N8da/JUocwUQSydMg6kP1lF279jwkEm3tbuVjfsR5E4by52BvkmEglHT6zyqMzQU+YaPLzXK60qx/620XPb4d9ffvMTLHYQ7ydtsmC7Zj0JmOTAeM9uMGF1lphZ+61KZE3aiT2DjkhkNW+gz1d++NiC6qLwQdW30d2t/0fowxdfISyKRPANbgxNzCOWMj7ISyZe6AiiyMVQucdED4HTcDmw10f9N9qxZmZWL5BG3zh1CJFS46EFOZG7KwVZuR2JdQQH8moZ4KoWumWzGe2MtvW9iVnSxm9WuqYuDraFLa+RFdhniKthyGq6bAOKhm3HiJcvLODsxEjlvKl15FA27mSP4i5PZi8P+2lpIhKB3dhbDC9mntD0bmQj6kplybm6pgKYpCC5EMTRgXeap20iTd6R73HbExXLjJlZKfOqn1k0EhBBjVuKLz5kXx+u3NQEAjl8cQCyRzd5cX08BxQs5YMuvuNHGFoSTApf1ajZwdSTSbv8LyHSB1JO99tctJ9S9FMzpYSD6lOVl9b7dkImGheQ4JmPZvwshBNdxZnQie1HcUl6OIrcbwXjc5Ld1LcudU5cGTYt6cYkPVTVF0HXgwnnr8nhFQxkUVUYillgTduv2O98EAHjqp8+vOph71QffMBMv2XZDV7CuMtHYnraAeMMscLlQX0CbQ3IBhcFOCJitJsZOjI7MIhKxtktpZGCrbw2tPbhu6+XnrQ9TGxmD2983iWg0m4kq9ntQyfSsuRYQW9ns0fbJbEBFCDFKiZ0C3VapRteSqZhNY47SDECmGtE1cpI3RPKpbuhpm+4/G82f3dgeKzC6MYMVzV1zqmpoU1cinsLIkPV3qttEc/ZKYruvgi2HQSQv4KKbgh591PK6gFqBclcLAF3oCH6QbZgv5lhAFLjcuIb5beUCims3Ls4PzO3wUBTZ0CScf9m6/l9WVwq314VUMoXBDuuNdblx4x9cD0II2g9fwpiNt851zALi6AudppNNa00pygt9iCaSJiaGg60XBweQznmA7eYHVrnZdPtIu21XDlEoCEYyj5h+GUEIAdxvAQDo0ccsr1MlNxq8dHMVlaEPljGgmgPUJUKMMvTz/TmmuU1V0BQZk/NhkxYOALZso7lllzuyIqOmlW4u/e2rrzHZe9su+Aq9mByaxjmbTfM1GcoGgHjpYOGU9eZdbge2LPySAGBLOfNiy9ElcXaid2Qa8ZyDT1GxDyWlfug6hCbFPBq30ZzsPb92YGvLdXQ96Thh/dyWlvlRVOxDOq0LO2+5eXTu2B5eKuucnkY8p1S20ZheIQBbLrqW5B6YMoMQjenxAOQxPV5uEKkYkNm6ZjOUutzFckfEijLrkO7gmMleh5dZ2y0aLBYEDRaSRAyRfI9N7jSx3FlLoP5Kx1WwtYQg7t+jf4g+ZnvKbOZt/IIN8zq2YZ6c7jbV+29ooCei5/uz6efK4gDqy4uQ1nVhOWjrdnqCPPeSdWJKkoSW3U0AgI4T1t0py40ZjzEZAAAgAElEQVTS6mLsuJGaMP7uP6wHoG7fWQ9/wI252TDaz2X/LoQQg916/lxv1ms7q6rg1zTMRqM4N569YO4tpUJ40ezJMncLFOJGLL1g346tUFCG5Pk1ofUJA1uI/c7Wc2tDwLoMva+0FRIIuoJjGItks6ZG7gxk545LVQzd1vEOc35s20EXtZfP2C9qG3bQz+86s/oaE82l4vp3UM+tZx60n+f2WgtCZECh7A0S1qONKhxsmEORaQQT2eViK3aiuiSAgMeFZDqNnlEzY97cQlmfbptO1qbta79hbtxDn/3Ok9blOEIIWtt4560ZHG2qo79LR87YnqxS2XT2PbAbFVbupjY/U7Ee2wMeFMooIZlHT7qSUOkoMCSsO8U5KzoZ7TaJ5Ou8JfDKGmLpJPrD2YCcg9FcTZumKmiqYu7zAjNunjs9gu5Q45prKBAduDCEZA7Yf7XGVbC1lHDdQLvW0uNAwlqwyjfM/tBxUxv/Bn8FKt2FiKWTJibmhgaaYM/195vYm72bmBeXYKTN9p10UTt7xt7bZdNe+lC1HzbX5lcj3vBeal/wtA3YUhQZ+w/SxUjUlXiIga0XcsCWIkkGe/NcDhjdVdwECQQD4SmM5ei2ZKKgykM3q+Hwy9ZfXt0MOh5lam2MBpUtTKcRA2LWpURehh6LXkAomb3AF2lew+oilxk9xJi/kyMjCMWzc25vm03uMLDVfm4IqaT1xtCyswkA0HF8bU7hN76HPjPP/Ozw1VJibqjbAQC6DdjizNZMfBDxdLb+qlDzospN7U1ydVt2pbI2G4f1Da3M2NNmw2zcSvNuanjGVsC+kmja3gBZkTE/tWA73qWFySg6O8zfl3ck5o7tIYQsdmzmsDfGoOYF80zbIq0OMlERT4cxn7Du9CUqZeX0NQRbhE0h0BPWa1+RVked5PUo5uLZVQ+JSNhoMRaNN1i0T5j9sDgzKsqdlo35LWcqGsrgDXiQTKQwcHH1KzGXI5YFtv7+7/8ev/vd71b7u6z7IEQD3GwEi005qMK1ET6lFAk9iqFIdrs/ISSrKzEzdlfXwKuqmIqETXOn9rfRzfSoYMO8ZmcDJIlgsH8akxPWbdZ8xMW5F6x9aVYSN9yxH5Is4dKJblsh/nVMt3XkeTPY2r+pARIh6BmdxmjOAs3Zm1ywFVA9hp/Q8SlzOaHWS1ugRZYKPAhxAeo2+hcbIL3coKVE1pUY/Y3ldT6l1PC+EZahy+lrubnTWFSEhsJCJNNpHB7MLvXt38wE9BcHTE0UTRvK4Q+4EQnH0dlhvTFsv4EC1rPPXlgT5m/3zTvgLfBgemRmzQ4Dr9Ygxtgea3bCqxTDp5QC0DEZNT8Di6XE7I2Ll4JEpbI2NqOuQ6Db2sA82uwMcX0FXsNJvvfltWG3NJeKxm0U1HWesi7bGcyWIMf52J6uEXNnnVEqy2Fvmv0VkImE+UTEZKkhEwUlTLc1EbOpIij0WUZiDZktha9p1ppVicgoY6VPITNqObanFDIhmIlGMRbKZus5UL8kBOpsmLcNUCeEoImxWz1n8xjEvkpiWWDrC1/4Am666Sbcd999q/191n0Q9+30D9H/sqSICSFo9NGySF/wqOl1Q+ico73RZNlwBH+mrzfrNc5sdQjmB/oDbsNv69Tx7PdlxrZDdMPseakfwdnVdZIHaHfQzjfQh/uZh8z2BTz2HNgASSLo7ZnA+Fg2E1XgcxtmnC+e7816jYOtEyPDCCeyS7D7SihbdkwAtuqZHcdA+LQ9ra/Swdp63DwyZzWCMLBFS4nWI3KafXRYcm/IOneOTnWaNBSLYLQ36//f3lwFj0vFbChqmrEpyxJ27KKL2qnj1ptV275WOh5lfG5NTpqaSzUGmz/7M+vceU0G3zCT52zz14n2JtdJvjZQgIDmEpbK2lh57eKANTvR3Wnv8t38CmyYG3ezUqIt2KJrSnfnuInBrS0rhN+tIZFMoWck+x5sYczf+YlsUJltqWEuJZaxUqII+BphlBEv2cpSVhQqk0ekh6CnrX2/yoyxPebc4cxWrpO8W1HRUkLtPXJLiYZ/mQhssdwZHZmz7YLewHPnpTW0x3gFY9llRLfbjbvvvhv333+/8PVvfetbuOOOO5b78es3tOuoYDU9CSStxbyNPrpx9IWOm17bz7Q3PaEJk/bmdRbsTWmBzzgt5I60AWAMej4psFQwPqO6GHVt1dB13dbtfSVx6J37AQDHf3PK8pqCAo/Rjn3iqPnkd3ArvQeHcywgmouKUBMIIJ5K4chg9kl5f9nisGZTB4xnC1TiRiQ1ay9a1eh3R3yNNntlC7OYiAFx61Jro58C9YHQKZOGYmthHQpUD4LJKM7PZZc7Odh6Nid3VFk2OloPt5tzZzfLHZEdBw/NpWIb8zU6/VubcuwK4tA7Kch88VfHrqgxHSsOZQMADdBDttYkFTYbptHCn1NGJIRkiORzSmWM2bo0NGH696hvLIWqygiHYhgdsd7Em6+hObmWYKt1N83fztPW+VtTVwK3R0U8nsRgTkctIQRt9eKy19YM887ce8AZH6FuixkqT9oxW3I97XBHbM38tohUsGhrk7Bx2mdAfVIwbSPT/sE0hcBC89fGyogDE7MI51hqFBR4UF5JDWO7O62ZUa4T7T77Ggdbn/70p3Hrrbfirrvuwo9//GPT6+Pj4/jlL3+5oi+3HoMQDTA2ZWtPqQbftSCQMB3vw0Iix51Y9Rjam8M541de39gEgHomRXLYm+vYSJtc008gG2zZbVS73kj1H6eetHYzX0nsefNOAMDLz11AJGR9atl7gInaj1iDrSMX+rPGzBBCjPuTCyh2Fi/OD+wMZpcKZKKi1ku/lwj8GqHtAyADqX7oa6DbIoQArtcDAHSb3Kl0b4JL8iOWDprasWUiYR+bs5nLjF5fXw+JEHTPzGBoPru0cZDNnsxlCwFg7376b3HupQHbVv5dN1Gx7cknra1PVhJ737wDiipjuGsMw1eQc/RKgxB1seSUtD4kOelI7A6OmUxxuW4rt/FkQ3UpFEnCXCiK0Znskr6iyEZXWfcl6w1zkdlauw2zlTX+dJ3qtbxGkohRvhKVy3kpMVe3tbGE3oOZaBQjwZxSWUBcmgWAMhd9Ru1GhdHmB8pU2x3cVxwZzT9WwUX9IqC+gZVM5xJhk5fhVgvmr6TAi/JCH3RdbB/iRLe1gelEu9egKedyxLLBlqZpePjhh3HTTTfhwx/+MB54wH7225UURKPdhnrMunPKLRcYzs79IbOpHC8HHcnR3mwoLka1n7I3uYOp+YZ5uN08d2vbjnq43Sqmp4K2Oordb2Ib5hNrs2HWtlahoqEMyUTKto1/DwNbp473miwgtjVWIeBxYT4cw/mcIcpWui1NUrCHeZgdmTQvGJxp7LcBW0TyAyoFZYhZ+4WtJHjuIG49C1AiMup91AJClDsHShdLiZlR4HJjVxUtl+Ten+sYgD3dNYxIPBvE19aXoLKqEIlECi+dsmYg9txCtW+nnjy7Jh1CHr8HWw7SZ+blNWJeX7VhCJ1tNky2wU/H+5DSs/99qtxFKFA9SOlp9OYYcW4pW2RvMsOlKmhi0yuEIvmN+bU3nJ3oOdu/Zo0PfFOeGJyyHQ3ES4miDZ6XTDtyXM9dioINxbSzzuQnZTBbZvBW7qbr23xiFLGUzQB3VkrUbVinlQZRN+f9GaWuZhBIiKRmTY05WSXTnN91i4X9AwBsquf31EYk76AjcXJo+oqYkbiibkRN0/DLX/4SN954Iz7wgQ/g5z//+Wp9r/UdGi13IHECup6wvKzBR0dt9IfNgutM7U1Kz2ZvXtdIF6hc3dau1lq4VQUTcyHTaUHTFOzYTd937LD1aWr3m66BJBH0tw9hfMB+ZMJyghCCnW+kGpMzT1t3T23aUgOvV8PCfMR00lRkCfs30y653FLioXoqoO+cnjaZv15neJiZBae8NDccednUrZX1/V03AAD02LOW16woNPo9kOyEnrI2COV+W/0hc+4cYCXTc3ODplZ+DkZzc6epshhVJQHEkymc6MgW0BNCsPc6pnk7bN1tuHHPBhSUBhCej6yZiH3njTR3XraZd/daDCci+QK1GprkRUpPYDqWDZoJIYvam3lxR+J5QVfZJpuOxFYHG2b9phqomoJIMIrRnlWeO8rCG/AYPnB21iR2bMomo4xovgdWHZuc2RoITyGUzPY/dMsFCCj0fbbSBW7rkVw7sLXIbFn/DFVyo5iNNrP1asvRbXGg3jc7i2BOF7SVfxmw2B1qx2x5Ax7UtLB/szO9lte9WmLF1g9utxuPPPIIrr/+erz//e/HI488shrfa32HsgkgRdQR3Gbx42BrIHTK/AAX1sGnuDCfiJjceXmpLJedcKkK9rA2flEpcR/bMEWlOR6BYj82H2Cs2qPWYxxWEnzDPPus9b1RFBk7r20CIBb1X7dlsZSYGYVuN3ZW0gc114+Mg63T072IJLMf/CK1FgVqFVJ6AoMh665EaNQJH/HnoevWJbXlBpGKF4WxCWuWjTNbo5F2JHLAYbWnGA3eMqT0/5+9L4+zrCqvXfsMd75Vt+Z57uoRaBp6ABIQFFBAwXkIaiRKotHoC9Hk8Ywm8qKZfCZ5iQkJTwNqEOM8MiiIzFPTI/RY3dU1dM1z3Xk474+997nD2fucc2voQWv9fvwoqFO37j31nb3XXt/3rS9n8RbjsfPMoDUFy9OzolTijl2cbMmJuqqquPR6qm698LPViZ0Lr6Kk4tU1slUMjZGtjLyrjBBiWyTfGxbXGK2rrqbpwmTScoBZb6bXbNQJmy5WVVNNv63V8Ggz38tW5gO3t19+TW8+jVi6Hnc30nswH0tipKQLWuYnFfEEUe+ltUeiui1eJC8iLyZ07qHmMOFiOTAJXZ/tmpZPfcobLI6VEPWaQAANwSAMWJVRXvNXOuQbyBP1/r5xZGwmmnDV8rhNivh8wYr4bPn9fvzsZz/Dzp078Y53vAMPPvjgSrzsOQtCFMCcWSa3CWj0b4JGvIhnZzGV6i/6nqaouLSaSs2lHXSXt7aBADg6NYWxkjoBuw2TqxMH9w1YBj0X4opbaM3ZE99ZHQNJ3vV49KUTSCXlyt+27Z0AgL27+y3f28XsCvafGLEUWHI/stK6rY5gHRp9EaSNLF6esY67MTtEozbdhvqFgFJHi5FTq2SwyUawGDYzyyr1JoS1BuSQwem4VSHcWUv/1i9MFStMFzU0IuzxYi6ZxMHx4lPjFXz2pICob9veCU1TcHpoBsND8rFPl91EDxDP/Gh1OjY37VoHRSGYtHkPv5HQ1gMgQG4SRlbuvF1ndsFZD1zrJUacXk1DTxVNF1qL5J1b+EdH5rC4IK/P5B5tx19eeTNl871cRH/Hif390ms6u+ugqATzc3FMThQTKk9ByrS0Y3eTxP4BKEglCjoS61zUbZlEKDdqO1JnWVBbABIGkAYy8r+BXez0SuZrAvmOzdL7w81ij5+eRKakVKShKYJA0It0OovBU3KFn8eO3d/1fMGSyNaWLVug63rR/wsEAnjwwQexbds2vO1tb/u19+Ei5oYp77pTiY7mAC1IF6kpvNC51Buqyu/HBWx0T6m6xTfMPX2nES8hMi2tVWhuqUImk7PtLLvqHdQ4c//jr2B6dOUf8JZ1jYjUVSCdTNu2Y198aScAWpidTpc4F9dF0FJTgUw2Z3HN/+12+nNPD5wqMn8lhJjjkEqLxwGgM0hJZn/0BRu3aQXwXQ8AMOLysUzLAeEzy9J2vl8ErUFmWRG1xthOVrdVStQ1RTGHmj9VMrpn58Z2qApB/9gMhieLC10DQS8u2Mq83J6Rn8R33ngJdI+GgUPDq1L07A/5TX+dNeRBlEDB8GK5LxMfFSOay1dYY2RNlXH1pliF4GnEock5y6iwcIUfDY10tqLImZ1j/Q5mpvz86vmndTNly66Y2uvV0dZOZz4Kx/awmX7HSuq2eBrx1JwgVWbaIsid5O2ULaKE82N7bIxHlwNCSIHNhFwxtiOH/HMOxaYtKVOZ8WtbXQR+r45kOotTY8WHJ0Uh6GHGuHb+fj0Xd9JrbPaR8wVLIlsHDhzAnXfeafn/oVAIDz/8MLZs2YLHH398ue/t3IZO0ylOD0iLnxakjwjUie3MG2rf7CmkSzqEeN3W0yVzEjtY7U06k7WMXyGEmLMHRYOeOZq6GrBxVy9yOQO/+u+VV28IIdiwky6wx2xGA3V216Gi0o9EIi184LZvoKThpZIB3Bc3NiKo65hJJCynKbNua8K6sLcFL4ZKPJhPj9oOiTXHMiV/DsOQn9iXDHOExiEYhrzQvNVPY+x03No5ekl1FwgITkUnMZl0af7q95qje549ZN2UTGd/gdksRygSxM4bKVl89L9Wp66NTzpYQwk0qoQjI49dbk5ZqqQDQGewzjTinCgx4pSpExGbQc0AsG4DVcuOHpZvmHx+4ZEXj69akXzheJdsVp6W6uqmn1M005G7nh87XUy2qv1+NIboPbCkymyVLRrHU8l+yySRIuj0UGU3v3DZ0Fkhvg3Z4kR9NjVseb8RTxC13jAA2tFaCBlRVxRiDqUubTwACuq2BK7+HOu30zVp4NUhxBbktbbnA1Z8XE9FRQV+/vOf44YbbkAwGFzplz93wN3Gc8MwcvKUR5OfKluiVFB3qB4RPYBENo1X5ooJBR+/8vTAQNEplBBiqlvPCNJBl/923p29tMuvENe8m47Weeybq9N113sJ3RjsBsQSQrD5QvlcR16f9lKJa76uqtglGd2zo2YdVKJgIDaJ4Vjx30VX/Gbh+YlFuc8V9G2A0kJTiYnH5NctFWoXQIIAErYbZ3OAkrLxxDHL4leh+82F/uWSui2eZn1ZYP5qphJLxiEB+djZ9/IpW7PB191K7Sseu/+pVdk8ey/pWvHX/LUAG5ZuZOXPFHcuj2amEM8Wq5deVUd7kKk3pV1lEnUCyKeDROamvRsY2ThiJRscXRe0wxfwIjYfx8ChVRiFBTrexePTkU5lbAvxO7vp5xQpW73cV0xAKmV1W9yDqk8wqLlCb4RXCSOHjP3hjnVA22VJlgtiWkzIVbagVgOfEoaBHKZT1r3FnAdpGdvDug6nporqRIGC2Bmy3u8e5up/1CZ2apqq0NBRh1zOwOEXVmdU2JnCqsxGjEQi+OlPf4q5uTnni89TUPmXmcVl5Itfo38DCBQsZiawmC5m94QQXMLsCvZO9xd975KmZnhVFROxKI6XODvL5gcCdHRPOOzD/Fwchw4OWb7PcfW7roCiEBx+/pjtaJ2lghc2Og2h5UO0j7xq9arhRpyHB8ctdVucjD47VKz8hXQfLoyw7wlSid1hPiRcblxKiAL4qbplJFa+4YMQpcBfR64iVepN8KsRZI200GxwWxWNnT0lsdNRSc1f07kcXiqxD7liC92MXzgyaBlN0tpeg7aOGmSzObzwrDymd910CYKVAUwMTeHAkytf2NvF7ALWUAyiMhKakafKPGoAFTrdFKeT1ut6Q2xGoKSFf2BuDgvJ4jSROTtQsGGu3+hMtlRNRe92evg6vEqpRFVVzY7EYZuUZgcjW6dOipQtSrYGxmeRSBUrzpsKzE0L0eyvQlD1IpXL4FS0+HuEENP+Zzxh87k9XNnabz/hYjlwETuEEFR7OwGIY4eTrb4SZaujshIBXUcik0H/bLHBrekkLyDq3Nj6+NFRyxixQnA7mEPPruJYozOAVR1ETQhZzZc/+1DZpmATwLriRw0L4NGEtfWWb5ilBd1eTcP2Zjrv75mSVOKODW3QFAWDE7MYnCgOblVTsPNyKl8/Kxj0zFHdWIWLX0tVt8fuX3l1q30Tfe8Dh4ZtTVY3bqYP3OFXrSfepuoKNFVXIJszsO9E8WJ+BSNbLw4PI5kpXhgvrxXPDwSKBz2Xkt9CEN/N9IvkE6tTuKrRv5FhQ7YIIWj00QLa0bgodmj8iZoB+P0pjZ2NbQ2IhPyIJlLY32fdIK+4kqYbnnlSnm7w+Dy48m30Pv7i609Ir1sqeOysoQRaJ/13tt/2shoPvU5kOdArcT0vTpUVPxcbmV/S4QE52RoamLZVQzdfRp/JV1dxw2xdT9eSoaPycVKdLI040D9pUf5rK4KoCvmRMwycGCm+B3llqyRVRhTznh4SmJvW+znZsvnc2kYAPsCYA7KrVJtkxs6grV0R36uEsWM2WJSYRisKNtRQolp6fzaaZMtqqdHeUQuvV0M8lsLQgLxI3oyd587vDuVVJVu/9lBpKsvJbbzBRzcw0QN3cXUnAODA7ECR3xaQJxTPloymCfm92NpDFxZRZ9nlV9LgtKvbAoDX/g61OXjkvl+ueDqoqYsuavHFBBZm5KZ+fLEeHZnD/Jx1XuC2dfRz7u0rvsfra2pQ4w8gnslg/1jxSYsXyb801WephQtq1SaB6Y/KjUWJ3ssWwTRgM3R8qTBVCpvxKwDQ4KexU+okDwBbqzoBACcXxzGXKr53V7Ai+WcHi19fUfIWEM8IOlqvYLHz4nN9ti3Z176XphKf+M6zSMblna9LQUV1GJW14RV9zV8L8AL57GnbFv5qL/37itSJnhCza1iwqtkbJalEbk55cmQaqRIz28pIAPVs9IpdofMmtmEefmH1iuRbmLJ1+rj8fTQ1R+DxaEgmMxgrGTNECME6XiQ/XLz5c2VLmCqTDPkG4ErZIkQHdHrwRWqV6raUBgBeABkga5O248pWympu3MNU0T5Bg4Usdnqaa6EpCmYFUwhUTUEPM5q1U0Y3c2XruWOrVvN3JrBGtpYBotJAQc4+DVfvk59uekINCKgeRDNJS+Eh7yp7YXioqOsOyPtQlZp+AnQUjqoqGDw1haFBeT3ZVe+4HIEKP073jWH3Iyv7kHt8HnPDnBqWv4dgyIfmVurQfPSw9YG7mJHKfX3FCxkhBJe1spFHJWR0fUUTqjxBxLIpHJi1kpmu0OUAgBML9s0BxP82AIAR++bKz+ozY8fe6LHOR4mjqKOp2htCW4B2Vx2cK/6cu1po7LwyMY75krSQbPYkAGzY3IxIJIDoYhIH9srd5C+8ahMaOuoQm4+vSpPF2z9584q/5nkPpZbV+uVsSTrfMKeS/ZbvcXWiPzphOYjInOSbqsOoDPqQyeVw/LRVgehlBya7Innu7dd/cHDVCp1beun7ON1n4/ulKmjroM9M/0mrst3bkp8HWYiOygh8miZOlVVQJbbULxHIr/2TyZP2RfIslWjYdCgvB7R0gXU92sxh5DV/04LY6QzRBouFTMIytkdmj+HVNXQxSw1RKnG9GTtystW9tQMen46F6UUMHZVfd65jjWwtBwo98SFrv2HWsw1TNHdKU1RcwGqM9s8Ub25b6uoR1HXMJhI4UiLt8w3zRUHtTTDkw0Xb6Gs+Z6Nu+YM+XP+7VwMAfvLvP7f9DEtBdRMlUVM2g2qBfJHtcUFXytYeupAd7B+1nCh5kXwp2VKIgp01NE1XOg4JALoZ2RqIvYx0zqbb0P8WOig2c9TWgHRJUOji5Bg7rKNpOjWATM6qIG1lqcT9M8ULaFM4jI7KCHKGYanbumwj/ZlDA+OYWSze+FRVwa7f4h2t8tO4oii46fevAwD86F8fsv0MS8HNH3n9ir/m+Q5CSN4mICMnwqayJShyrvdVIqz56NieqDs/KUKIaQEhMqjMb5jy9F1NUxXq22thGAaOvLg6hc7NPaxmy0bZAoCOLkqoRHVbXNk6XjKhozBVZlH+CjyociXZibBWD79aiRwytkOpeZE80qtXJG/GTlYeOzUsdubSo5a10aNo6GANFsdLhAEZUQcK0tA2sXPkkDx2dI9udiWuZhp6tbFGtpYDJUL/bdg3AtCTJmFzp6z1PxdEKGk4OGvturukiSo7L54uLnbf0FaHyqAP0UQKr/ZbSQrvLHvmSfvgfOOHqafUcz9+CRND8rz5UlBRQ5WthWmb2WAAunpYO7agQ6i7qRoBr45YMo0TI8UK2c4WSsT2jI4gVUI4Odkq9aECaItzWGtA1kgJx+FwEKUC8L0JAGDE7rf9DGXDjB35LDeAdQipFaxDyLpIXlDJFKw5azMEvz8vDBd/r7YyaG4qLxy2viYnW889ddRW0bvhQ6+F7tFw5MW+VdtA11ACFxtmtacddL2ZQyxjTZV1h8WpRL5hHp2atKbKzA3TriPRnuRwC4jDz69OrDSx0S5j/RO29g8dXawZoF+gbDUzMiFQ8GRktCtYD4+iIZpJ4nS8eH0nhBQctm3WYm7/kDkGI2e/Xi4ZvOwlI2+c8qsR+NQKAAZmUlb1dJ2kwWJDLb1vY9EopuPFB7gNbTZEnRXJ9x0ds+2e53Vbh59bI1u/mVCooR9y9humrvgQ0WlQTQlON1vYhvnqnDW4d7bQVNkLw8XqhKoo2Ml8qEpH2gD52ptX9g9idiYqfW8dm1qx9eotyOUM/OyeX9h+jnIRqqLWH4s2NVsA0M3M7U6esD6MqqJgSyd9wA+eLB0zUoMqnw+JTAavlLil72TzA1+dG8JCuvjhJ4SgJ0ytL/oWnrZ9byTwO/SLxCO2swzLhhk79kSdEGJ6J4mKVrkq+srcoOVUzWPnxWFrTeFlzKH/+UPW2Nm+sxu6R8XI6VnboeaRukpc9U6qEv5wFdSt8xl2G9qyoPE6UXkaUVd8qNAp8RC28IfEhc6dEZoqi2cyOFXSSc7VCVELP1cnhgfti+Q37VrdQuea5iroHg3ZTNZ2AkFHp7wjsbu5BoQA0wsxTM0Xr5uyuiRNUdHNauHsUom2dVtqA6A0A8gBaauv3kqA8O55m9ghhDCyDst8TQDo4R2JJUQ95PGgo5KuaRYneRtlq7WtGv6AB4lE2tZJnnckvrpGtn5DQXz03y6ML7m0LzotbKqkCkR/dNIy0297MyVpu09bu/p2sA3zhSPWh6KhKYJ16xuRyxm2JpUAzHTQQ199DJm03GSzXHj9HgBAMm4/Y7Cjk56KhgamhaebzaDJFBIAACAASURBVB10ITs0UNoJRHAp69jcPVK8yDX4KtEeqEUOBl6etpKUnhC1gDgZfQ45Q34KJvpmQN8KIA3Ev2v7OcoC8bIv0o7t3ryOYkaw+HWH6uFlp+qhEl8x3s16cHwMiUxxB9JOFjsvCmLHH/Dg0h20Vd9JGeXpvl996xnbRojfOKReWJWXzW+Y9mQuX3sj2jDp81RaI6oqCtbX0Hqm0nQQVyeODVtVL7dF8puvoM0erzx12FZ5WipUVUVdO11LRvvlh4R2tt4MnpqyWA74PTpaapkrfom6xZW/IyIvMrNI3lpTZFezWwTTAmJ15o6aVkUODV0m2RIQdR47pfYPALBBkkrkKeixmUXMCsoW+JxEN0Xy/QcHEZ23NlKdD1gjW8uCh/3beWCx3Wmh1htGrTcMA4Zl9tRFDY3QFAVj0SiGF4oVNLv5gQBwxVUslfiE/UP+W2/ZiUh9JSaHp/H4t2zMPsuE7qEjndJJewLX0BSB7lGRSmUwPmpVevip+tCA9QG/lKVZS+uSgML5gda0RXPgQviUMBLZeZyO208BIP73AACM2DdWcDi1p+Br+9es8lA1Q5RG1BTV9L85PF98D9orK1EbCCCdy1k6Nreta4GmKBiemsfQhLWmLh879irEpsvWo3trB1KJNB76yioYwJ6nMFKrMzsSbsmWV75hchXmhKAjUVZ709FQBZ+uIZ5MY3DcGi+9Lgqd11/ajUDYj4WZqO1YneWgkXVB2xmbNrdUQdMUJBJpTIxZ15t8KrE4zchTZSOLi5hNlKTKmLmpaHYgTyM6OckTD53daqTkXdLLgsosVRxip8pro2yx2OlfHLeYuMpiJ+T3orWOElhRKtGMnUPy2KlurEJTdwMMw8DBp6w2OOcD1sjWsuDeRyzioYvkbEp8quAPa6n/jV/XzXEIe0aKv9dWF0FTNZ0fuPeEVb7mdVt7XjqJpM1AaI9Xx1s+fiMA4L///ocr1nnn1mZNVRW0tNCOFVH3JCdbfaetbde8pm3PiLUdeQcbh/TStDV1qxAVnaFdAICTNganAAD/TbSgPTcKxH/i4hO5gfvYqWKxM5cSF5GuZ7FTWkdBCDHvz97R4tgJ+jy4oIuStJeOWhffy35rPQihdTiTE/I0OSEEb/7YDQCA7/zDT2wHj/9GIb175TtYgYINU15QDNgf7jjZGknMIlYy585MlZWkglRFMev8jggc1rlBpd2GqWoqLrxqEwBg7y+tEzVWAvVt9D1ODMpTUqqmoKWNrjcDgtRVdxNV90prRCu8XrRWUAWvtGGJzw4UKVu0SD6CHLJCc2ITHupdh9TLMIyVtVMBAKj0bwRjDkZOrg7x2JlNWdeFJn8EftWDtJHFUKz43m1kZPTIlLUWLp+GtulItFG2AGDr1XRqy75frs4MydXGGtlaFrhiozpeWemhATWXFgdUr2QUAgBsa6Q/u2fU+r0drG7rxSPW9GRPbwPq6sNIJNLYu9v+JPmmj1wPf8iHkwcG8MKDK9MRw4mRqjmHWVML7Vw8PWxtIGitq4RP15BIZzBQcqq+oL4emqJgIhbF6YViH5dt1d0gIDi5OG6ZHwjkuxJPLDpYQBAvSOADAAAj+h8r5PJceCq0j59KD10k59Ijwg1cZjYIAJc0sdgZKS92qqqD2LiZbuxOaehr33cV6lprMD0yg5/f97jttb8xyE04mo8uCQr9e8JYhJGzxjQHV0NFG2bEE0C1hxqYlnYk8g2z1NgUsC903mBjTlyIrVdTP6l9j6/OhlnP0ojjA3LDYgBo6+CpRMHMvmZOtqxETFa3tS7cCAKCieQ8ppPF6XRaJE8PviJzYhNqN+twTwGrMLqHKGGA0L87cjYqEidb6WFLiYVCFHQG2cijxRID09q8F1mm5FC83uxmlTdY9B0dRTYjX1u3MRPuPY+tka3fPPDTB/HYXweYIzQW0uPCzdo0jBPkwrcysrV/TDSsmaoeuwXqBCHE7Cx74Vn7DqBwVcis3frOl1ZmRE2K1WrpXt3x2qYW2p0nSiOqioJuvgCW1FH4dd3cIPaV3J+IJ2ASkT2Cuq324HYoUDGbGpIqjiYC7wFIGMieAJK/cvw8jjDr/AgAzfbSsN4AAgUZI4lY1kpG10mKVgHgYrvYWU835N3HhoQkjg81f/4Z+9jRPTrefgft2vz2//nxeW08uKJYhbotogQAwjpZbdQtrqQvZMaFliFdIao0lKYSeapseGHeOraHbZiijsQNG5tACDUnnpmWN+RcfA1VJw48eQhZG9PcpaKOK1uCwceFaG1nSvqAVUnPK1tTAvNOpt6UkNGA5jU970RF8o1+aqQsMifmIISY6tbqpRIZWc/Ka+vCej1U4kHWSGM+bb3OTEOXkK02NrYnlc2if7Z4nbJrsGhtr0Ew5EUymRE2SXHwiSd9e/sxPy0/aJyrOGfJ1pe//GV0dnbC5/Nh165deOEFdwvXAw88QFMbb37zKr9DAAb7gxNnt+ugVg2AIIeMZUAsAHSHWUfeonWswUUNdDN9ZXzc4ql1yTq6qB4aGBPWbfHRPc8/fcwxrfGWj98ARVWw97GDOL53+WMjoswRPlgZcLy2to7eQ1nKqocvgKPW0+aF9fT+iAjFNubQv2fG+nm8atAc9ty/aB9fRAkBgXcBAIzYf9pe6wpm7IQcx1qpRGPxQ8l6KfjiN5qYRbQkLbS5rh4EtM5kIlq8CV7Q1QhNVTA+u4ihSWtM7rqCkq29L/Uj5VB3d8OHXotQJIjhYyN47sdyO40zjbO5jhirVCQPlf697cyU/WolPAp97uaEGyZbb0qUrYgvP7bn6FRJmqidddwJRq8EQz5TLTpq45nUvbUDoUgQsfk4ju/tl163VNSycoRJGyNlAGhppdeJlPT2+ioohGA+lsT0QnG6jXttiVJlhX5bpTDHbglGthWCeHbSL1IOpQ1LheIcO4QoiDA1XXQI7QwxZStqbVjiDRalZJQT9f7RGcRTxaUGikLMNLSdMlrdWIX2TS0wDAP7f/Wq9LpzFeck2frWt76FO+64A3/xF3+Bl19+GVu3bsXrX/96jI/bG0D29/fjk5/8JK688soz80Z52z5v47eBSnQEVHoiXcxYH9SOYB0UECxkEpgqSXl1RiIIe7xIZrOWodTNNfn5gQdOClKQ27vg9WoYG52zbeMHgPr2Olz1Dppa+8Zd33b8TE7g/lqhSNDx2ppaTrbEJxZZHQUAXNRAF5ADY9YF5JIqPuhbnEbtCtK6LadUIgCQwPsAaEDqORipZZqccrsQUuHq8qBGF/loxko2K3Q/arz0/pUOww15POipphvLgRJ7DL9HxwXMVuPlY9ZFrntdPWrraBp63x77NLQ/5Mcb/4Aqow/87fdXp16pTJz1dST1/OrcB9NM2W7DJAV1olbVW5YKAvKEorTQeV1zLVSFYGYxjok5q3rFU4mHbDZMVc3Xbe1/fOXrtjjZsptaAeTJ1rDAIsLn0dBcS5/L0vWGK39Hp6YsUz147aRI2eJjt2ZTQ0hkbVQZXreV3g/DWAWnfU7UbWIHACK6vMaYq6InFwUKZ404DV1bGUR1OICcYVgMY4F8zd/hV+xrES++hqpbe8/DVOI5Sba+9KUv4fbbb8dtt92GzZs34+6770YgEMBXv/pV6c9ks1nceuut+NznPofu7u4z80b56YAvfg4IMHUiJjA29SgamgO0bmkgVhyMCiFmkXzpoE8gP9Jmb581UH0+Hdt2UMLhVHsDAO/9zNuhKARP/+DFZc8x46fLmuYqx2ura+hpWpaC6Gygr3FqzHrvttTT+//qhEAVZA7rfYtjFr8tAOgKU3I5HNuPZFae/gAAojYB/rcCAIyF/7O8jZSP6VHdxU5Qo59flEYEgI4AXeQGotaFbEtd/v6UQjYOCWBp6Cv4UHNnf5s3f/xGeP0eHHruGJ790fLIqF3rvluc3XVEp39jh9mXSwKPmZx9qqxSl9eJdrINsz8qIFsmoSh+fZ9HQ2cDXcNEnkluiuQB4KKrNgMA9j+x8upEdRM90C7MRG2bNXiN6PjYnHAGaFcj/ZwnR4vJVmekCh5VRSydxtB8sRq8wYZs+dVKVDKvxTE7Cwi1jdXlpVelbgsK/dsaOXvPQLsaY07UB6ITFm8/WewQQmxr/jZuYSOPbFRRIE+29v1qdRosVhPnHNlKpVLYvXs3rr32WvP/KYqCa6+9Fs8+K1cf7rrrLtTX1+ODH/yg4+9IJpOYn58v+mcpMPhAT35acEBAowtBLCseX9PONsxTgg1zM9swXxFsmHwo9T5BRyIAXMbSQc8/7ezc3LGpFde+/zUAgHs/+y3H62XIZrKYGaWfs4adNu1QVU3Vr1kJ2WpnZGtgfMZCcnqra6ArCuaSSUuRfI03jNZANQwYFod+gHb6RTytyCFj6ybPQUIfA+AF0ruB1JOO10vBT5aKu9jxM1W01BGcoz3IY8d62uRk9BWBosNjR9TNCgCXsY7W51ykoWuaqvDW/3ETAOCrn75/WV5Kn77pC0v+WeDMrCOAzVqib2FvZBXSQeaG6UC2eGOFoIu1i22Yp2MzSGaLSYltqsxuw2Rk68ih07axctFr8mRrpf22wlUh6B5aA8nXHxFqakPwejXksgbGBHWiMrKlKQrWMaXYkipjacTB2JQlnQ8UDJWPH5K+L1q3RVOJq1G3RfiYsJx1nSgEJ4ai2Gn2V0EnKpK5DEbiJXMibWJno80Ugo1MFT11cgKxqLwTk8dO/8FBzIzbG0KfazjnyNbk5CSy2SwaGoo3oYaGBoyOiov6nnrqKXzlK1/BPffc4+p3/PVf/zUqKyvNf9rYwOeykekHABA+QsMBfpWmGxNZMblrZQWWpeaUQH5UROkDDgAXddOH/ODJUYtJHwDsuJxaIBx+dRjz887S9Hs/83YoqoLdj+zDoeeXpm6NnBxHLmfA6/egujHieH0Fq+taXEwIjU1baipACBBLpi11FF5NQ3cVO3ELDAcvjFB168CseMRJZ5Aubv1R5xobojYCzFXeWPyXJatbRoadbrUOV9cvJ3Y2mv43otihi1z/6DTmo1Zz3m3bO+HxaJgYm8cpweDeUrzzU7cgFAni1KtDeOLbSyMa89MLtg7gbnAm1hFAvpYQD01PG8llEHIJCB/15DB9wE7ZqvGGEdJ8yMGwtPCvr8mnykrjm7uBi7rKutbVQ9MUzM/FMXpaTnR6Lu4067aOvGhjhbAEEEJQWUdTgLMOliWNzfQ+jgjqtjoZ2To1Zo3DwvtTiCpPCPVeZu4q6Axu8DGyZVMkD+RjZ3WIOjv45uyfL65siQrkNUVFW5CuN6VKOr83A3NziKVLSDwj6kcF9g/VNSHUNVTAMIBjNsa4lbUV6LqQ7rcHVkEZXU2cc2SrXCwsLOB973sf7rnnHtQyCdMJd955J+bm5sx/BgeXKPVn2EKhuUs3eBVaVyPfMFkdQcwq8RbWUZQugOuaa+H36lhMpITtyvUNlejsqkMuZ+DlF+TDUDmauhpw3fuouvXVT9+/JEJx/GX6e9o3t0JRnMMsXEHd+A0DwpEfHl1DQxW9f0MTAuNTm5b1C9nsSSnZClGydSr6oqvPSoIfAlW39gKpJXYmpqkMTrgC4gCv6jZ25GRrYG7WsgBWhfym4eCBfusi5/Xq2HoJG3r+nLMyGooETXXr63d9e0kdZ8f39Jf9M8vFUtYRwGYt8dBxUEg9BcNYYe8xwkc92Q94tyNbhJB83VaJGtpTTQvEZxMJTMSKlWa7gdQej4budayI3iYdpKoqLr3+IgDACz9debd0PpN1fsq+Y62JlTeMCIhhV4NY2QKQLwIXqDe9TN0S1m2ZZMshJe+l0y2Q3gfD4W9cNhRW0uFAtnj3vMxuJh87xXFQEwigNkAPzsdKyOiGVkrUjw1PICM4UPM09JFX7VOJ3G9r9yP7bK8713DOka3a2lqoqoqxkmLnsbExNDY2Wq7v6+tDf38/3vSmN0HTNGiahq997Wv40Y9+BE3T0NdnPTl5vV5UVFQU/VMujMwQkDsNQAW0Ta5+xqvSVFlKYijXwjbM03GBQ3NNNQiAmUQCk7Hin9dUBVvYSJuDgg0TALZfRtWt3S7IFgDc+pm3wePTsfexg3ji287F46Xg3SJbLt/g6npNU+HzUYuIqERGbqmhm8zpKSvh4CeqY9OCbkVzfuCQpcYAAFr8F0EjXkQzU5hK9Tu+V6LWAYH3AgCM+c+XbUBo5BaADEsl6Ftd/YxT7DT7mU9Z3HpKrw0EUOP3wwDQNy1oMOiiG8QrktjZwWLnpefdxc5bP3EjwlVBDB4exg+/XP7MxINPytMsbnEm1hHAZi3Rt1AVwYgC6RWuvVHY7zDsxyPl7WbGhHYzstSzT9PRzubclao3XNkanprHQtwa97xI/ohD3dbOGy4BALzw0MrXJfGZrLE5+7Eujay+a2zEenjrYGULYzOLiJfUfplrzZR1rTHNTSVO8gQKopkpLKblKjFRmwFtPYAckHzK9jOUDZeqKJ2tSZAxkogLyl7azbotAeGspmS0dC1uq4sg4NWRTGcxMG5dpzYwc1Onuq2dN7LYeXDPOdGI4xbnHNnyeDy49NJL8eijj5r/L5fL4dFHH8Xll19uuX7jxo04cOAA9u7da/5z880345prrsHevXuXniJ0QooNMNa3UlsAF+Ct2KmseBFo8NEHYVSwYRYugMcFhIJ3lcnI1iWsSH73iyddBWhTVwPe/WdvAQDc/Sf3Ib5YXmfMy4/SYarbrr3Q9c/4A9SvLB4Tj7RorKYn1pFpK9nqZadN0b3pCTXAq+hYzCQwGLV+X1M8aGEWEG7qtgCAhD5KGyOyp4Co+7QTAOa/lAPUTlp07wJm7OTEf4dGP42d6dSipQYHoEO7AUnsMLIljZ2dVLk9sG/AdhIBR7AyiN/7wq0AgHs/8wAmh8sb4L13BQwvz/Y6QogCeH4bAGCshC9b0Yuz9caBbIX1ehAoyBppRDNWkt1hs2Fy9aaUUFQGfWhkCvMxGzdwpw1zxxvoHMBju09gZmxl1ZtAhR8AEHUomeBpxLER6++PhPyIBKnafqqEGPB7c2Jm2mLFs54pWyJzal3xmTNynVKJ8NLMgpF83P66csFtinL2dcoq0RFiHdDzaWvnYkdQXl/M709pkbyiEPSyKQSiVOL6zbzBwkHZes1m+AJeTA5Po29fv+215xLOObIFAHfccQfuuece3HfffTh06BA+8pGPIBqN4rbbbgMAvP/978edd94JAPD5fLjggguK/olEIgiHw7jgggvg8TgbjnKUM/fOSNJFnHjdt4frCl0E0pKWXr5hzqZjSNhumNaFcwsjW6+eErf0XnhxO3RdxcTYPIYFI3FEeOef3ozGrnpMDk/j2190b3Q6cHgYw8dGoOmqKfm6gZ8Nro5LBlc3VdMT/diMNT3Ai1b7pqctLdmaomIj6xR6dV48F6w9cCkAYDDqLq1BlBBImMagsfgfMGxMAkthLqCeK1z/jE5Y7EjIVqUegE+lyuB4wrqQ2sUOJ+qv9FtHHgFAe0cNauvCSKeyOLjPXcr9xttfh02X9SK+mMD/u/O/XP0MACzMLOLVZ5w7H93gbK0jHMR7Ff1ipdUJwqxUcvZkSyEqQholVOVumL3VcqW4t1W+YfKpA8eOjAhrLzmqGiLovYQeAF9a4XRQIEyflZjDwOL6Rnp4HRUUyAN5devUaDHZag5XIKjrSOdyODVXTNTWh+k607c4ZpkdCJRRt8XIFpJPrtDECgZTGEjAMOy988I6VTFFdVt2RL3XTvnjaWjRyCdG1EdH5jA7I+8M9/g8uPh1tCvxhZ+tQsfmKuGcJFvvete78MUvfhGf/exncfHFF2Pv3r146KGHzGLXgYEBjAjGjywXxvzfursuN5tfQH2vd/36GnOaFzk6A0BY88Gr0A1zMmndMLur6MN/ctaqfG1ihoPHT08imbY+RD6fji0X0dO523SQ1+/F7X9L02Xf+rsf4MR+d8Njedpx27UXIVjhbGjK4fHSLqKkxECznvl1jc9aN5nWikroioJkNouRBSsZ21jJPIDmxKemtuA2ANQCIuu2xsZ3I6BfCiABY/5/u1IMDSMDJH8OACC+69z9HlD1DQAykpQlIQR1rDh3IikwzWWxc2LGSrZ6W2qhKQpmFuMYm7HeW0IItm3vBADseanf1ftVFAUf/affAwA8+o0nccBlavC5n+xGNpNF+6YWV9fb4WytIyZ43VbmEIysc3OBaxD2TLnwYaLpIGAhYyVbPI04GJ20dvhKlC0AWN/CC52tn6m9sxaBoBeJeBqnTtp3vG1/PVW3Xnp4r9PHKAu+gBcAkJQo5BwNjGyNC4ZRAwUd0BPF661CiOldV3p/WgJV8KsepHIZi4UPkHeSH7XpSAQA6NsoqTZmgMwK2hyQgvXYsNbGFsKMHYGRMnfLn0jOW+ZrytKIANDbKi+SD4Z8prO/6zT0gytf87daOCfJFgB87GMfw6lTp5BMJvH8889j165d5vcef/xx3HvvvdKfvffee/GDH/yg/F+a+B6MxMMurvsZgAygbQDR1rl+eZWTLYmCRghBnY/KvBMCdaLLZsNsqg4jEvQhk82h77R4Yb+UpYPc1m0BwJVvuww73nAxUok0Pv+ef0AiZl+fZBgGHvsmJaJXvd2arrGDh7Vsy9zK6yrpqUxkqKgpCtorqTIouj8bK+jmfXhebLhY6+1BQK1C2kjgdMzd4kYIAan4cwA6JVAxFwpO6jlanEoiZou3G5ixk5NvIPU+RrYSgjmQNkTdq2vmOKRDA2Jl9JId5cfOhh3r8IbbrgEAfOF3/hFzk84WK5yoX/bGS13/HjuclXWEgag1gEZb1ZFaQXWL0PSWG7KVVyesf1fewbqQSWA2XfxMFW6YpUSMqxNHh60bJnUDpwrFqwfFKjLHjjfQA85LD+9b0RFPXka2EoLu2kJwsjU9uYhUyrrmdNTLvf1khEIhCnrYRIdj81ZFqNFH63tHE4ctcwcLQYieV76TT9h+jvLgBR0RBsf4CWs0dhYEsVPpCSCiU+I2WNLQ1VvDao8XFhBNFa9XeaIuJuKbmN/WoVfsY2fnDTR2Dj17FAuCA+K5iHOWbJ0tGHOfhZGVn8gMw4AR+yYAgPjfXtZrq4SqVnYPWY2Hkq3plDWAOiPs4Z+1nsQIIflFUDIX7NKdVLbfv+eU7cDP0tf9s6/9EaqbqjBwaBj3/OnXba8/+NRhDB4ehi/gxZVv22V7bSk0jQ5klr23mkqqbE1L0gOdEUq2Ts1Z749ZS7Eg7q4hhKAtSE9LgzH3pyWibwEJ/ykAwFj4Gxhp+3EcRuwB+oX/JrqguoRKKBE1II8dPlx4KmUlWx3s3gzMzQk//wabEyeQr/nrOzaKeYfC40L84T/dhrYNzZgcnsbffeBfbDfVoWMjePEhqnJc+Y7yiPo5Cy+v21pJssVTms4KLCdbi2nr39Wn6qj3UcJRahnSXcVG1iSTloYcXndz4vSUOWy+EDyV6OQGvumyXgTCfsxPLeD4nuWPB+Pgs1jTAgJViIpKv3nAmxJMrmivp8/MoKD7mStborQ870gU2T/UeDuhEx/SuTimU+LuaA5eorKS9iF0NBhfd+zjJ6TTNWEhI14T2pgyWmodEvH5zY7EvpKD77rmGhACTM3HhOv4pi3Uud4pdho66tC+qQW5nIE9rD74XMca2SqEth4wZmDMfhiGrIAw/n0gcwSAD/CXNzdNIZRM5Gxy5VVeRiiSVrLFlZvhhXnLVHXAPh8OAD29jQhX+BGLpRwLWAtRWVuBT/3nRwEAP/rXh/HgVx4VXpeIJfHlT1B37qvf/VtlpRABQNVoOGYkRofVYfp6UwsxcW1RJScU1oLXzmAddKIimkkKO/YAoC1AT0uD0TLrAALvB7xXA0jBmP2ElKwbiZ8DyUcAEBD/u8r6FQojW3axU+2lZEsUOy3hCqiEIJHJYDxqVQadYqe6JoTO7joYBrBnd7/r9+0P+fHn37oDHp+OF362B/d//nvC67LZLL50+78hm8lixw3b0L5h+WnEcwH52pvHy6oJtX9RTrayMGwObgDMmi3phsk6oEs3TK+moa1C3JHYVh+Bz6Mhkc4IVR/uBm435w4ANF0zhws//5OVSwfprBwh7dDMQQhBXQNVg0WpxLY6TrYE3eE2DSe9bDD8MUFHokJU1PuoUfBo3P5gxhssqAXEChp48kOeQzxyZUtE1IG8MipqOlonSbMGfB601tL7ekygjG7ckjfGFXlGFmL79TQNzQ9o5zrWyFYBSOUXaHonfQDG9AcsAW6k9sCY/wy9NvT7IC5mIha9vnm75UFUpTMn9bSV9TeGQtAVBZlcDmOL1g2VnzhlaURFIaZnktOsu1Jsv34r3vmpWwAAX7r9bvzgnx8s+r5hGPinj/wH+vb2I1JXgd/93DvLen3+/gDAkDxkVazwNZ3JIiZYSHm35pBgIoCuaOaIkr5FcaqM122NJY5Iu/5EIISAVP4N6048CWP6PTAyxYXkRmYAxtz/pP8RuA1E3+j69QGAMOnfsImdiEceO7qqoilMVdPBeevCzWPnuCR2AODiSzsBAPteLi92ui/qwEf+gRal3/cX38K/f/JrFoXr/s9/DweeOAR/yIc/+md37u3nBfRLqOO7Mc+6UFcCWsHX9mQrzNQJ2YbZwjZMkT+b2XRSok6oioJ1zawIWjDnbhPbMAf6J6U2Lhy/9WaaSn/yeytn4KkyhTxnU6DPUVcnn8naUkvXk9nFOKKJYmLCla2TMzMWdY/bPxwTKFsA0OinqcQxp6HUWiug9QLIAsnHHD5JOeDx4zJ2BLN8gby331DcGjs9VTSuSmMHyK81otjp6qmH16thcSHh2Mi1g6USn//p7hWfRLAaWCNbBSBaD0j1fZRwZQ7CmHwzjOg3YGROwYh9G8bMhwGkAe91QPAPV+U9VHqoejOXsm6YCiFoDtOTWOlcLgBYVLFEYAAAIABJREFUxzfMYWvBK8eFW6nn1P4yyRYAfOhvbsXb/viNAIAvf+Kr+B9X/jkOPHkIrz53FF/60L/hF19/Aoqq4NMP/DFqW2rKfn3i8H2/R4dXpwvpXNRKhlor5PcGgFlLIZL3AVoQGtYaYCCHkVh59gNEqQapvh9QW4HsAIzJ18GI/j8aO/Hvw5j5PcBYAPRtIOE/Keu13aJSl8cOYH9/+AI4PDln8RXiMIl6mWQLAG76/WvxwS9Q5/3vfOnH+PRNX8BzP9mN/lcG8eVPfBVf+8v/BgB8/F9vR1O3uxFG5wMIUQEvHRnkqh7U3asWfG1PKHj7vmzDbPFzZUuwYZodvvKuMlHauao6hHrmBu7Uxn/5zduhaipOHhjA0FH3arsduImy7NBWiBpGtibGrWQr5PciEqIHvKESdautohIeVUUym8XwQvHhrocpWxPJecymrCpyvkjeQdkCAC9twDIS5fvVyeF86AeAIIudWHZG2DTEY0dkwl3YHV4KOxVd01Ss20Dvn5MyuvXqzQhFgpgZm8PBp1zcy7OMNbJVAqJvAqn+GqDUAblhGAt3wZi8Dsb8p2lniLYBpPLvqI9O2XB++PmGOS8YmgwALWzDLJ0BCABdjTQfPhtNWEbacFy0jZKtVw8M2bZmi0AIwR988f34wF3vRs/FnXjl6SO44zWfxSeu+DQe+s9fAgBu/9v3msNCy4Ube7rKIF38ZgUu85yIiu4NAPSE6SZ+clE+5Lg1QJ2tT8fL93oiWjtI9QPUI4eEYSz8HY2duT8DsgMAqQKJ/GNZtVocdooWRz52JKa57P4Mz1vvT1U4gOpwAIYBnBwV+2Jxoj7QP4m5Wfd1WwCNnXf/z7fgT+/7GFRNxUsP78Nnbv4b3H7hHaZK+obbrsG1772qrNc9H2B2nSYfXdk2fgBuN8x4dla8YQZoHeiwUJ2gG+aJGUGBuI06AQAbNvPBwvZdZeGqkJlKfOr7K6X8UTiloQCglo32mZoUrxktNeyZKTFSVhXFrBEtvT9BzWsSEZG61eCjZGsqeRLpnH0RP/G9gX6RfAqGg9VH2XCIRb9aadYZi3zaTBPumDU+um1ih5MtWexs3MTT0PbkW/fouPyW7QCAp7678nMkVxprZEsAom8Eqf05SPizgNoOQAH0i4DgR0Cq7wNRgkt63Rw7hRJWuyVCSKdkYiEjJltNIXoSExEKn0dDM/OiOjEilmC7euoRCHgQi6Vwsk9OOmQghODWP38bPvmVP8QNH3wdfAEvAmE/rn7XFfjc9//UVL6WAi772433Cftpp9GiwL26maXJpuNxxNPWjYWPmOgXDGs2XyNAF/6lkC0AIGo9SOTfQcKfoikkgJqXhj4BUvtD1yampeCbNLF5ZMNm7IgXcJ5GHFkUbyx8+O4JwYgSAKiMBNDeSTfZVw7YdwvJcN37XoN/ef6vcctH34Ca5ioQQrDrpkvw+Z/+L/zxPR9e0mue8/DsokakuUkgvRKeUoUkQr6WAIBfrYDC0kaxjHXja2akYKTMDbO3QEUXgXckOilbQD6V+MwPV4Zs8RS1ojpvbzW1rM5xSkxkmlkq8fSkoEje5v6sY+qWSEUPabUIqNUwkMNEwmEEltYLqJ0A0sCKmeOy+HEQDAghCKiUjMcEZItPrRhLzFk8xbgqOjA3azV+ZT5tJ0amLN8D8lMI3MTOlW+9DADw1PefX9GO1tXAGtmSgCgBkOB7Kelq2A+l5jtQwn8Mwgd5LgGuNkyNtnUvSJSt5jBdHGTqDW/hF830AgBVVbDpAtrxsdQNEwDWbevCHfd8GN+fuRffnfwqPv3NP8YVt+xg3S5LQzZLFwFFlb9GmLV1LwgsKCq8XgR0ehIbEdS08Zqt/sUJ4dgeAGjyU7I1Gj+MrIPpnwyEKCCBd0OpeQCkYR9I7cMgoY/SIdZLhMGIumJD1Cs42ZLEDifqIh8yIE+2+kfFDQQAcAHzantl/xLniYLGzsf++YO4f+Bu/Hjx6/irH9+JnTdsczVD83wEIZ4CR/BfrMArFm5QThumgoBGFRiROsE3zInkAtK54njndiEjiwuWmZqcbI3OLGAhZiX3GzfnC52dcMUtOwAAh547hqkReey5hXloc0G2qh3IFle2RCPCOBkVpcp6bcgWIQSNfpfmpoQATBk1mD/f8sHjx56oA0BQo59RFDs13hA8ioYcDIwlisloYygEv6YhncthsKSGtqm6AiGfB5lszmIYC+SJet+xMaElRyEuve4iBMJ+TA5Pr/hQ85XGr+fqtoIghNDFcgWQAw0c3sYvQoiRrVhG3CnSwDbM0gGxHJ0N8mn1HFsuomTr4D771mM30HQNmi7/POUgw4YW65p8EQj66N8imrTeH0IIGoJ08RyPCjry/FXQiIpkLm1ZHDiqPW3wKiFkjCQmE8t/eAnxL4uAcnDip9jETkCl96bUZJCjIcTvjTh2TMdsm9jZdAHzwXHwUHIDRVHgZUrlrzuI93X0i8QKFDqbXWQKiE08cPhVSrbiWWvMV3mC8Co6DMGGWeX3o8pH16P+En+2cCA/tuf4aUHNzoYmEAKMj81jZlruBg4ANU1V2LirFwDw3I9fcvw8TuBdiNwk2Q5VbI6izLG8mZEt0Ygw7ntYem+AfMmCrD603u1QagDEy9PQv1qZjlb+Gi72tYDGlS3rZ1SIggZmHTJaMs9XIcS8PydLlD9CCHqYKCBqyGlqqUK4wo90Oov+E/bGuB6fBztvpIXyz/xgZdPQK401snUG4WrD1OjmE5WkgjiZGBUoNwDQyTbMkzbqBK+9cTt65UyBky1Nl5OtACNbojQiQE9UgPj+aIpqtrr3L4ofYkIUNPnpiKHh+Lnj38ItH1Q4x04smxI2SNjdGwDodKFsbWaq6JFDI0inz/0OoHMG3qsA6EC2D0baYS6eE8wpAu4OgVzZimesFgaEEDSzMWEiSxTZhgkgv2EKUonBoBdtHVT9cip0BoDL38Rqb76//NqbVIKSLe63ZYdKRrZkhLCphqURBcpWF6vZEhkF82acE4vjQhW9gdk/jLkpktcvojXERhRILe/+0HWBEzYXZIulEaNZ8QGMK6MjotiJyI2Ue2y6WQkhrmdsAsAVt9A09NNrZGsNHHxMj2ZzovAzdSKeFZ9g6oLMa0qibPERE4OCqeocGzY3Q1EJJicWpKMqzga4ZMyNBkUIsAU0LnGZ52Z6pUaMHNyIr9T1uBDNAUq2RuKvOrzjMwc+dUBV5LETUCnZyho5pHLW+1MXYBtLIi40o+xgJo5Dk7PS4uK2jhpUVPqRSmVw/Kj7eZC/6SBKBfNiA4zED5f3YgaLbcWdj51PpYQhkRV7BzYwsjUWt64F3Ei5f9ZK1Hj3c9+I+FniqcTDrziTrauYie3LP9+/7FRinDXP+EI+x2srK9nQ6sWk0Ey5qZqqd6PT1tQ7vzeji4uWNGtroAYeRUMylxaS2AaWRpxND0v/LhyEKABTRo24+xm1YiSQr9nyO17tZ0TdKXZGEwJvw4hc+eOxc0ISOzyVeMShSB4Adt64DZquYvDIaZw8uPxszWphjWydQfC5dnYbpiPZYhvmRCxmGbgM5F2PR6YXkM6IlQe/34OedfTkdeig80J4psBnItqRLb+Hka2U2J6gLkjvz6SEjPKZXoOCuWUcXNkaia/gTLJlghN11aaTkQ+iBsTxU+33QyEEOcPAdNxa19VYXQFNUZBMZzE2K67rIoRg84Ws5m8ZdVu/iSDcBDn+I0czUlsYLLaJu0YdPyNbojQiADT62JohIAW8406YKmtiXkqCNCJQkHJ2QbZae5uw+YoNyOUMPPZfy3NM52N6+EBqO4TDfvAs//y89ZloYKnShXjSoqZX+f2o9NIDzqkSMqopqtmQ07dg9fXzq5WI6PT+uLGAMGMn+fDyuhJzBYdQ4kzWfSpNo8pjh6URBWUZPHaEqqhD7Gzc4j52ghUB7LqJNiM9/NWV9CNbWayRrTMIvmHqRH7i4htmMpcRpoJqmHKTyeUwn7SmGmsrgvB5NOQMQ1hnwJF3eV4Zb5uVQJLJ/16fDaFgREw0bBsAavxc+ZN4TZkmjvLTc4NvPQgURDNTWEyv4ADhZYATdbvY0RQVOiugT2atZFRVFLMGR6T8aaqC5lrW6i7ovuLgqcRzKXbOC3hfA5BKIDe+PINTbrZMKlxd7lMpYUjkxASa192I6hjtlK1uvmFKla28/YMbG4br3kebCH7xX8ubBbjA6q9CEWcyqmoKgkwBWxCQraDPY3ZAj83I1a1TgqkV3QWpRBG4uemog7kpADqYWu2i8wyTjzhfL4PBYyfsyr6Ik61kVhY7zqrogGB8Gidbw1NzwoMzj53BU5OICmx+SnH9B+gM1kfvfwpZichwtrFGts4g0mzKuq7IN0xvgTqRFKSCPKqKsIc+/FMx6+JACEELqzMYstkwTYnfRT3FmUIiTh86n19OtrysGD8p6VKpcUgjcm8Yka8Qh674UeOlswBdLYRnANyPxy52gHz8JASxA+Tvz1Rccn9qnWNnQxnpoTXkQYgHYL5JRmIZ6SC+YbqcYGGSLemGSV9nPGE9nPGpDCIy0dVUTX39FuOYEfj6dXbXwevVEIsmMTQgT9tzvOadl0P3aDix7xROHijfOJdjYZoqP+HqkKvrw2FGthbEXbwNLJU4NmtVlPjM0VJlCwC6WfezzNevgRXJu1K2CAHx3wwAMOLLSEPn2N9BcWc67VPoPUxkxWqaGTtJ63rBY+f0wjySmeL1qLoigEjID8MA+gWd81XVQTQ2VcIw3NVt7bxhGyJ1FZgdn8NLD5+b43vWyNYZRIZtmJod2VLyKTRR3Q0AVPvpzzttmCJvGI4Nm+iGefzoaNnmpquBbDZn1mz5bJQtk2xlZPeGpg5EaTIg73p8OjYjddkH8gWs4y66hc4E3MQOAHhY/KRy4jRrlc/+/rSy2BkWDN/l2MCKV8dG58o2N/1NB/G/iX6ReGTpnWU5tjkpVa4u9yqULMjUiXqbDZOngiZjMURTxe/X79HNg51I3Sp0A3ezYYarQmZn2WPffNrxehlmRinxqaxzp/yFKugzsTgvaUqKsC7eGQHZYvNYhWSUka0TkvFgXNkaTxyxXYtM+CjZQuo5GNnyPRIBAFn2XpQ6V5d7VafYYbMlBapobSCAoK7DgHiEWo9LZdSNgq7pGq55D50l+YtlpqFXC2tk6wwixfLlHkVeS6ASxZyDJyNbEbZhziUk5pVmu7L4AQGA1vYa+Hw6EvE0hhxmUJ0JJOL5hTwQkNsBcFsIWSccJxOzknvT4KebQzKXxmxa3pJe76Ot6OOJYzbv+szBTezQ77MhvDnJ/fHz+yPx4qqWt7pzBEM+tLQxh+wj9g7hayiBfimdoWnMA8nHl/QS5kbrcsP0qDSdlsyJ472ObZgTAmWrwusz65JE6aCuJuY1Jam94Ye6ow5O8hzXvJtumI8/8NSSTCrTqTQmh+l61tjp7v4Eg6wDXDLHsZ6TLYGyxdWbQdG9YWTrVHQCWUFHYq23Gwo0xLNzWEiLCVkhiNbGjJINIPEzx+uFyDLLFtXdoHeP4hQ79PNHM0mL5QwhBG3s/gyIyCjrfj4pMeBeX2bsvO7WKwEAz/7wRcQkKuXZxBrZOoPgw409Nl1EhBB4FEYopGSLqhszMrJl00HDoaoKuntpTUHfOdBVFouxbjtVge6RWz94GNlKSfLyVX5+b8QPm0fRUOtl5p5x6wLAUW8qW8fcnTpXGW5iBwB0M3ZkZJTdn7gsdpyJOgD0MsXi2JGzHzvnEwhRAVbsbMS+sbQXydKOK6K2urrcyzbMVNaebC1mEogL/P3amXojGmDO1QnZxApOttwoWwCw642XIlDhx2j/BHY/Ur7b/lj/BAzDgNfvQaTeXZo1GGJka1FMtmorWVPSnJVs5cmE9d60BKpZR2JG2HygKR7U+roBuC9XIL6bAABG/LtLWpeMLGtqcUm2vIyopyRkK6h5TX+/iaR1zTDJqCB2uhlRd+xIdBk767f3oHV9E5LxFJ787soNNl8prJGtMwi+2DltmBorcs5ITnacbIkK5IF8B82ooKCzELwjse+Y86lqtcEXukDQa2sCqjFX6Iwk9VnhpfdmMZUS2hsA9gXBHDXeThAoiGdnEZN4zJxJ8MXOOXbY/ZGQLX5/5mSxw+pcRMXAhejppWTrxDkQO+cbSOB3ACg0HZReQpo6w8x2tR5Xl3M1lBP2UgRVr9mYMynYMPMDzAUu6k32Eyt6N9AN88TxMaG1Qil8AS/ecNtrAQDf/7/lqzcDh2gdYdvGFtdmwoEAMwMWTKUAgDpGtibnrISjrSJfl1S6XqtEQTuzmjkp8fUrPNS5gv9matmQOQKknnX3M4VgsUO0bleX89jJGmnpRI0adnidSlrjo7WCK38CnzIXsUMIMDmxIHX4LwQhBNe9/2oANHbOhUNyIdbI1hlEfsO075JR2diSjKQ9vJKRrbmExNiTkS2nDbO7l9UUHD/7G2aMSfjBoL3RHidboplaAMyUBwDMJyVO6rxGRdBBw6ErPkQ8VDmYWAEn+eUin0a0jx2NpxGlsUPvj+zeNFaxGozZRdsOsp7ec4eon28gajPgvRYAYMT+q6yfNYwkkGXF4y7Jls4Iejonrq8jhJhq76Rgw+TqzZBAnTBTQZLh5S1t1QgEPEgmMzjVb+8GzvHmP7oBhBC8+NBeDB4prwnj1Ks0Tda+yZ1yAwA+P7PbiYlr6Gor6QFERLYaQiF4VBVZw8CYwCy4i9k/yIvkmbmpy9pQolQC/rcCAIzYva5+hsMwDCBzgv6H69jJly3I4icfO9b9hpNRobLFYmdoYg4pQXe5P+AxZ7EePewulfjGP7gOXr8HfXv7se/xc8e6B1gjW2cUSRasXqcNk6kTsvl9vBtxISU5ibEag4m5qC277z6XlC1OthyMCFVGtmREQFdV+DVKOKT3h9eoCDaWQtSyjsSp5Enb684EOFHnsr4MKjvNy2KHK1sLErJVUxkAIVQ5nFmUF793r6NEfXhoGimJwewa5CCB99IvEj8qzzcpfRhADlCqAaXB1Y/wDTNtJKXrQY2HqRMp63vh6oRI2eJTB6bmY8IZiYpC0LO+vJRzU3cDdr2R+ib95O7y5gEe20PJRM/WTtc/42dkK5EQN5XwNOLUvPV5UAgxZ46KyGhnQd2WCLw2dCJx3LUSQwLvp18kfwUjU4bXXW4EMGYBaK7Jlkp0c5B5OidJs5rKlih22GzJBWvs1FYGEfJ5kDMMDIyLSzq4Muq2NrSiJozrf/dqAMAP/uVBVz9zprBGts4gkqx91qvatyQrjGyJiioBIOyli4NMneCydzqTxeyivFCwe10DFIVgZjqKqUl7FWy1sbhAF+pQ2IFs8Xtjo7qEmbq1IJifCAB1Xrp5OJMtuiCNJ4/bXncmwGPHSdlyjB0PjR0ZEdVVFTVhqoSICoI5qmtCCFf4kcsZrhWLNRTAs4v5JkWBxE/c/1x6P/23doHrNJlOuNprICvpgKz2soHMgg2zJSwnE0Gfx1xvZCPC+OgVt+oEALzpw68HADx87y+RkKT3RDj2ElWh1293RyaAfPezjGxVs+dhaiEmJER2adZOB2WrxtsJlehI5hYwn3Z3f4jWBXh+G4ABI3a/q58BAKQP0n9rvSDE/UxSTaHX8o7oUtjGjs29IYSYZN0pDX3ssPva0Fs+Ru1Vnv3hixjtX2LX5ipgjWydQSSZqaBXcUu2xISCK1uLKfHCqWsqIiF6mp0QSN8cPp9udpWdOH52g3KRGdeFHJQtRbFXboDC+2N/EhPJ3oWo89EFeypx9pWtpKlsOcQO62SVxo7XPnYA+7QJByEEPUzdOheU0fMNhBCQwLsAAEb0Htc2EEZ6N/15z8WufxffLIG8OW4pqjxsIHPK+jdvMdUJ8fPS0UDXkAHJiDCzSL4ME9ztr9+Kxq56ROdieMilK/jk6WmM9k9AUQh6L+ly/bu4iXIqaU+20pmscCar3f3pYDVbA5KJFSrRTU+/sYT7mZkkcCv9Iv5d18qokdpDv9AvcP17gLy3nzx2GNkSqKItYXpvZhMJy0gjAOhg4+VOSWKHN+IcP+qeqHdsbsMl116IXM7AT+5ehgHsCmONbJ0hZHJJZA3mkO6wYapswzQg3jBDTJ0o9b0phJ30XQieSjzZd5bJlktlyyRbNspWkI30kREKt2Sr1kuLSKdTA8jkluiJtEIwVVEHos6VP1nsBHWmbElUPyAfO3ZkC4DZzXq2Y+e8hf9dgFILZAeB2AOOlxuGkXee9+xy/WsUokIBb7oR/91NsiWwQ+FpsvlkUvhMdbINs39MRrbyRfJuh5crioJ3fpL6Sn3jrm8j6hCLALD/V3SWac/FnQhWuhtlBOTHg6VS4vfm82jws5msMwI3c35/RhYFNUsBSrbm03HMpsRrMTc3dVu3BYDO2VQ7AGMWRvQedz+TfgkAQDzb3f8e5EeEZWSqKCNbIqIe9nrN/WpEREY52ZLEzrr1jVAUgonxhbKyLzf/IVW3fvjlhzAl6ZQ901gjW2cI3L2ZQHHsKINZdyPZMFnw2qoTFUz6nrdfpLq6qczdf+IcIVsOyhZPndjVN3BCIbs/+e4Z+4c3pNXCq4RgIIeZ1NmbA2gYhjkIlruBS0HyPyOCSdTT8tipMWPHnqh39TCH7DWytSQQJQgS+iMAgBG9G4bh4A2UOQLkJgF4Af2isn4X3zBlacSIzpUt69887PWaarFow2xnG6ZM2WpqqUK4wo90OltWrNzwodehbUMz5iYX8J0vOada9zx6AABw0VWbXf8OANB1ZidjU3sYCTJ/OkFZRhNLs4rqkvyax2zIGYiK1S2TbMXLULaIChL+FP2P6H/CyNqry0ZuIZ9G1He4/j0AoBK6ZnCxoBSVHrpezAjIFgA029yfTgeyVVgkf8Sl3xYAXHHLDmy+fD0S0STu//z3XP/camKNbJ0hJHP5ei2nmVS8EkOuTrBhzBlx8ANAFZO+pwVjNArRwcjWqZNndwYgn0sWrnAgW+zfdqWknIzK7k+1l24s8+m41CIBoMSu2tsBAJhOLX18yHKRykWRA32ffKiwDMRBFQ3w2BFI+hzVbmOn69yInfMa/rcDaislUU71N9wE1XtFWTU3AKAQqt7kZF2qbMOcS4v/5k1hql6MCtSb9nrqwyUrciaE5H3Zyqjb0nQNH/jf7wYAfPcffoK5SXmNpWEYePEhmibbccM217+D/h6m+kk6nAGgMsg6wKMCssWUrVFBNyIAtLF5rIOSVCLvSJxIHodhUx5hgfc6ZnKagLH4ZftrU88AyAJqF4jmzp+NQ2FWRDmJ9UOl7hA7pvInMIWtp2RrcELuechr/soxUCaE4A++SBsJljvYfKWwRrbOELiyxUdn2MHcMCWMIqA7pxF5kbOTOtHewWoK+iddDYtdLcybZMveIT2vbMmv4YRiUTDgFKCLA69tEknfhajxULI1ley3vW41wVUtjXiL6m9EcCKj/N5E02mp+uWabLET5/TUovn3W0N5IEQHCX4UAGAs/juMrHhDMYwcjATtriLeq8v+PZxsSdUJvmFKUl2NIUq2hBtmHTM9nZiVxlS5XWUcv/3WXVi3rQvxxQTu++y3pNe99PBeTJ2egS/gxYVLVLYyNinOSIiTLUEakRHRkQUJ2eJ1WxJlq9rbAY14kcrFMJtyb3VBCAEJ/wn9j/i3YWTEFjWGYcCI3kf/Ywmxk1dFl0a2eOyIiHobi525aEJ4bwGglzdYlKFsAcDmyzfgyrdfdlb3tUKska0zBNdpoALImo38bD5gXDIfEACqwnLZuxDNrVVQVQWJRBqTE/bdeauJeTZjr7LKIcXqAtz6QTY/USFKXvq2GdkDAFXednpdamjZ72upiJux4zzrjcC+Q42TLQBIZsX3h8fOjEPsBIJe1NWzTrVTzoOG1yCB/xZA20Lrb2Y/Li6WT/wAyBwCSADwXl/2r+DqhAGxchLSmSVIWjKMOchG1kSthKK5pgIKIYgn09LDXb7QubxmCkVR8KG/ocXgP777ETx2v1WlyGay+I9PfR0AcNPvXwuPVz5bVfw72AHOrsM5wO6PoDOS35uFVFJYBM6VreGYuHZIIapZH1pu5zPx7GAEKgtj5qM0XViK5OOsXssLEvxAWa8P0NIXAFLVrUJnsyXTCSHZbmBka2zRutb6vbpZIzokUbfWM6J+/Fj50yp+76/eg62v3VL2z60G1sjWGUKijA1TlgLi8Gt0MRE92BxVIUYmHDZMTVPR3EKl3KGBs7dhcmWkwkHZcuNF49ed70+EFQTL6gw4qj2MbCUHHH/vaoHHjn8FYsen5QedxwRGggDMTlan2AGANq6MnlpLJS4VhGggkf8LkAogvQ/GwheLvm/kpmEs/D29NvhRELWm/N/BlvqchGxVaPRvPp+RkC1TnbCSLY+umVMrZOkg7rV1os+dk3whLr1uK95z51sAAF+6/W6cPFj8LP747kfQ/8ogwtUh3PqZt5f12gBAGNmys5OpYPNa5wVeYiGPxzzEiIxNWwK0W3MwJl9f63zrACxt8D2p+CvquZY9AWPuT4pIkWGkYCzS2EHw/SBqU9mvr5hNNxI7GUa2cjAQzcrJ6JiAqAN5dUsWO13r6kEIMD25WLZFUev6Ztz1/T8r62dWC2tk6wyBqxMBh5obIJ8CkqkUfMNMZbPSIvqqkDtlCwBa2uliMDwoLlI8E5iboSfiSJV9F5F5b2wEHH5/EjbKX8QhbWJex1zkZ9Ony6unWEHEs9TfyK9GHK/Nx44YqqLAo1KVQ3Z/eDHwnJvYaeOxc250/JyvIFobSOXf0f+I3Yvc3P+iJCs7DGPuTiA3BWi9QPB3l/b6+c4J4fe5shXNJIUebfVsw5yMiQ8nrXV0XRueEk9laG6pgj/gQTqVxeASDnW/e9e7cOn1W5GMp/DpG7+AXz7wNDLpDJ798Uv4yp2+qFEuAAAgAElEQVTUhf8Dd70b4Sr7bl0RFGJ/bwAg7GfefQLrB0II6gJsfqLg/rT46TNyWjAfkaOeka3JxAl3b7rw96v1IFX/BsADJB+nhCszACM7BmP+L4HMcYBUgQR/v+zXZr8BgPwg51N16Ew5XUxbySiPnYmoJHZqWexIavL8fg9a29kMzrNsUbQcrJGtM4R4lrJ2v+a8YXLINsxCdUKWKouUQ7Zazu6GmcsZeWWr0l7Z4rBLlrkiW0zZktUZcFToDVCgImuksJA5O+adnGz5NPfKll060ava3x8eO3NRcVqgEK1tLEWyRraWDeJ7LcDqtxD/Dozxy2BMXAMkfwlAB6n8exBiP85qqQhp+caUWMZKKOoCzOhWsmG21DCX+Qkx2VIUYk4dOL6EwfeqquLPvvZHaOpuwMTQFL7wO/+IG7zvwWdv+VskoklceOUmvPHD15X9um4RYmRrMS4xSg4ysiW4P80BmjmYS8ewmBHXJXEDZVokX36NEdEvAKm4i/5H4qcwJq+FMXElEP8O/X7Fp+mon1VCUGP3R/D56oI0dkREFABaGNkampQXyfPxYEuJnXMFa2TrDKGcuhvb6m8Uky1Z3RbvnnFDtppb6WJwevjsKFuLC3GziLGi0r5miy9Edu7ZebIlTyPyok6nAnmFqKjQaQpkPlVegeZKIa9suVgsXazTTvcnwmInlckiLjF65GhhsTN8lmLn1w1K+BMg1Q8A2ib+fwB9B0jkX0D08gq/C8FJuEyd8Ko6NKZOREVkyyQT4sMJ3zBPT8rnjS7X06+qvhL/vu+L+MBd70ZFTRjdF3WgsjaMt3z8Rvzl9z4FRVnedmbb4exjTUmSebScjIoIRUjzmevN6Zj4Oan1drHB93NLHnxPAm8Fqf5vwHMloP7/9s49xq76uvfffc4+z3m/POMX2LfiBigPA66RQ1MixYVKVFdUl6pFqUJplUoUVCJfRZGltEaKEkgb6CtWaCi0VKWCVlepWtQmtcxDqnBEgxs1iDZtQ3LtGHvGY8/7vPfe94/9W/vsGc7+7bXHZz/GXh9plDA+M7Nnzzq/33d/1/qtdQ1gDAKFO2CMPguj8r829T3Xo2m3Y3ad0Y1MKtdvvlbrmYnZMamawl4Mrhm+Egbfm+EvEfpBvaOcLUYqyFZBnQtoEZHP5WDmcujYNloBRc7DqqBztdFCx7K9Ac692K5qts59kM6GubToCsKBwZJ3MigIEltU1NoLcm5amqPcVNS53MP23shIcQcW22ex1D6HXeB37u4XjQ4/jRgWOwBQMlVfoYD7UykVYOZz6Fg2lmtNVMvBbgrFzvmzC3Achz1C5krnUvM0hhGtUzdhFG8HJv4v0PkPIL8DRm78sq+H6m2oUL4XVbOI5XYdtR51N5NKTFys13r+nXeqDfOsZsMkZ+tyBt9XBsr45Of/Nx74Pz+PtaUahsYHUShGK4jfCD3o6dYUElu1gIcP7/7Uej/c7qiMYaldw7n6Av7n8IfrpsxcCaPFnVhoncF8430MDEavywPcyQLG+PNuV3mnBiO/bVPfx4+j2oUYGm+mqpytXq7oRMVdazu2jeVmA6Pl9dkLckXPMWLnB5cRO2kjzlZCNDx3gpEKIvdG85qSqrtpdnpvmEMD3RYBveoM/Hgb5gfBR7fjZGnJfVoOK44Huo1etWkyJSaaWrHlLo7LIWlEABgpuIvjEnN2Wb+pRzjJyosd/WlNwzA8Z7RXQbCfme2uAKzVWlhaDL+XVwvzjd7H8LkYhummhvogtAB/XGgERZ42zA+nyiYq7vul0elgrcfBkx2sDbN/g+9LlRLGZ8YuW2gBPrGleVCgB45aI6BRshJbQTVtlErU1W3RicT5ZvS6rY0YucG+CC3AX5qgE1vq/vQQ6iXTxLAaEzZf+/AasX3c3RPPX1qBZfeui/UG35/ZuoPvRWwlRJRUEMedoCLnIHeikM97IyZ6HVf2s216GIbhDmJNY8Ok4viRkOJ4AKDaXd1TaNFztoLflEOqIDiohsLPcMHdJJbb6TxVUexU++RshcUO4CsIDomdYsnExKQrAmfPB6eQrjbmW+nP0/Rjw30vUL+tXpTzaiCz9WFBUS0UvAe8hfqH3ZsdE+6GObe4inZAXO39CfdU2cKlNVy6yJvnlwQd9cCaN4Ndv7Ia6VNv9V5TSIwuNHo7W9vLKntQD65LIrF1oQ9iq59QM1OdK1rOuWKrYQU0klbu1qUesTM1OuBlai4s9harE5NDGBoqb+nB9yK2EsIrcmY4WzRkWZeRibJhrtb1gqJYNDE5pUYq/Dj5VOLmnK1gOPeGCoKXA/oK+fFqttrpFGc2IsVOn+6P5vTVRqa3uw8Q588FbyRXG/MZGF7up7th6sSWmrzQY8M0DAPjSlBcqn/4gWxiuIqimYftOLiw2FtIVSpF70BFloaXW5a73ppm8HZYUQ5aUA0jiYmgNOJMxX1QOt8IXl+p/cOFRrReW3FD0yt0sUPtiOo9hDrQFaMXezhb+VwO0+oU6blLvZ1RwzC8IvksxU4URGwlgOW00bLdIKuY4c6WRXVJmj9PQW2Ybc24mcGKGjoccILGz8wOlUpMYcOM0tCUjqXrimEL6t/aVnCrBhJbHGdryHO20hFbda/PFsMVVfcnr3G2ChHE1ipDbG2bVq7G+fSa4maNNMc79YI6x1M38F6UlLPVsnsLirGK+55ZaHz4PWMYhtdr69yl4F5IWRxe3lYDqAvFYDFRUo2kWwGp9zElthZ73BvAJ7bqwe7vlDqRuNA6k/rgez+WzYidHMVOwAnnsjqwFXR/fKnEICh2tmr7h8yKrWPHjmHPnj0ol8u488478fbbbwe+9rnnnsPHPvYxjI2NYWxsDIcOHdK+PmmoKaWBHMqMcT3dDTPYnyjk+rthzuxwF4NzH6QgtlTbh5GQk4hAt74ir0kjkpjQ1Wx5fYVYBfJuzdZa5yI6dvi97CeOY0dqiEvOlk5s8VxRNcybEzuqbiuLzlZa60jdWkStk40Tmo7j8MSW2jCDJgtQYfNiQKqMxNbsQvCGScPLs3SqrKVSg7rDOSX1b82ANGJXTAQ4W2oY9Vwj+D0yYE6gnBuCAztTYr2jJhpwhHpY7PQS6gAwMx4eO1TzdzkHLNIkk2LrlVdeweHDh3H06FGcOnUKt956K+69917MzfVWtG+88QYefPBBvP766zh58iR2796Ne+65B2fP8udMxUm9Q2mgodAh1EB3w9TV3RTU6cJOQEEhAAyWXbG1FlDU6WdmRi0GKdTdUJ0Yp8cW5+QQOVu6IdPkbPXqeLyRcm4YhZx7bSvtZJ+qmvaad5KMI7Ys79QZ5/5oYoeEOiN2KI2YRuzoSHsdudjMxobpn4doavp0ead4N+lOUCpobiG4HovE1g9/mJ26GxJbpVKws1X0nK2AQd6l7r3pdchomxJbl1prgffXMAxMlPYCSHcW60YofnRzWUs5ip2A2ZtqL1pu9o6dbaOqy3xAChroFsn/8AdzqRzkulwyKbaeeeYZfPrTn8bDDz+MG2+8Ec8++yyq1SpeeOGFnq9/6aWX8Ju/+ZvYt28frr/+evzpn/4pbNvGiRMner6+2WxieXl53UecNCKkgYDuhqlzJ0zGhjmg3Ik1RhpxG4mt2eQ3TM/ZGmWkEdXvm9ekEVn3Rh1VXus0Q9+4hmFg2FSpxE6yT1UUO4VcBWYuvKEluaI6oZ7n3B+vrxBDbM24zlbWCuTjXkcA/VpysZmNuq2O032gMHPlwNdRn612gBgYUSfKlgJ6TdGGOafZMPfsdcc7nfl/816tVNo0G65AKJWDnRuvbCPgmkmIWo7T87TmSKGKohIk841g9yaLYqtjuwKpYASLrW7s9BajdH+WAoW662zpYueaPZMwDGB5qY7FBX1/xCySObHVarXwzjvv4NChQ97ncrkcDh06hJMnT7K+R61WQ7vdxvh472PTTz75JEZGRryP3bt39+Xag4jU0BS8VJDJqEsaKKkNs8nZMF2xlcaGuaz6bA1xCuQZx7TNnH5hBLp9YSzHRjNgc/EzVHCfqlYSPpHoHazIxRA7GrEVdtTdT5qxE0QS6wigX0uykgpqq80yhzzymiJnrzQhYMMcKpE7EdDYUw0U1m2YMzvGUCqZaLcsnMtII9xGXYktzQDrgiqeb3esng9nZdP0HONe98cwDEyWXEFxoRn8cD9R2gMgO0LdcRy0lVjXCfWw2Blmxk7Q4QrA/fvs2OW+F3/4fnacUS6ZE1vz8/OwLAvT09PrPj89PY3z53kFyp/73OewY8eOdQutnyNHjmBpacn7OHPmzGVft44oNTeArwicUbPVa44ZQa0fwrqAA8DUNvfa5i+sJG7RLi/z04h0eCCvadJKKVbtvcl3XaI6I5U4WJgCAKy0kx24HGUINcCNHXV/dGJLxQ7H2aLYqa01UVtLtqYtiCTWEUC/llxKcXi5H8+ZyOnfX+ROBA2rHiqqE6qtoA1TzU9cDnYdcjmjO7z8R9kYXt5QMV6pBjvHZr5bz9VrYLVhGJ4YXQkSFCW1xmrE1njJHXx/qZWR2HGaoM7xuvihB1w7YM3txk7AuCPlis4v6R2razIWO1HInNi6XJ566im8/PLL+MY3voFyubcSL5VKGB4eXvcRJ1GaUgK8mi0qENelgqJsmJNqw6zXWolvmCvL7mbAaf1AqQfd4QFydXT3Jm/kvILgXk0cNzJoumJrNeH5iA3LTTmUmLFjMU4j5jnOloqdoI7ZfirVIgaH3Pfahbkr40QiZx0B9GvJQivehzgudBI6TGyFpZfDxMSkcicuhm2Ye9z2D1nZMGs19/1f1qQR/QdyOgGO+WBRnf4OEKMTytmabwanEceLrthabs8mfhinF227W/CvSyN6a67T29ny7k1Q7AyrkT7La9qH/Wv2KLH1w2zEThQyJ7YmJyeRz+cxO7s+XTM7O4uZmRnt137lK1/BU089hX/6p3/CLbfcEudlRqJpu28ubo8t6thr6jZMhqCoqsWjEXCCxk+5XPA2zIvzyTUctG0HK8sR0ogMZ8v0nBu9Q0ddj3s1cdzIoOluEGudi6Gv7ScktrjOVpQ0YtBTKABUVAq60QoXWwAwqRqbXpwP3kiSJAvrSM1aQNNKv3knia1STt80OK+6swU5W7Rh1nrUJAHA+LDqpbRS026Y5GydOZ3seymIuhJbA4MaMeGrEQ363QYKqmwjwL2ZKLnuzaVmcExU8qMo5YYAOFhopX/Aq6XEVjFX1R7uIic98N6Exc6QGumjRoQFsftadx3OSuxEIXNiq1gs4o477lhXlEpFqgcPHgz8ut/93d/FF77wBXzzm9/E/v37k7hUNpQKKrHaPnSDVedsmYxUkNeIj7lhTkwqKzfBDbO21uwOoY7gbOlOI9JTqC6NCOibOG5kQImt1U7SaURytgZZr7ccakCoc/7IFQ3eEKOkoAFgnGLnQjbEVtrrSDXv1pYstH686e/RL5q26zSFOVs077DXsGAAGCgop7wdICaG1EifVkfriO6+xn0v/fj05gYu95s15eRXq8Fiyz8LMmjNJUHRq0AeAMaLSmy1gsWWYRgYK+4CACxmwBltMWOHekJaAcOqSYiuBgjRYsH0mnBf1KShu7EjYqsvHD58GM899xxefPFF/Pu//zseeeQRrK2t4eGHHwYAfOpTn8KRI0e813/5y1/Gb//2b+OFF17Anj17cP78eZw/fx6rq+k/VQLR3ImOTyDo3AnaTC3NE2S5SM4Wb8McG3cXg4UER2mQq1UqmShqjl4T5FaZmtOIdN90QhTQjyfZyIDpPo0n3TupGbnej1zR4J5BeYazReNJOK4oAEyoCQSXLmbnlFCa6wjN01zMgjthuX+TMMEe5k5UC3p3olIqoKxaJCysBI/92qmKnD/4cUbE1qpbxqBztvzPdkErLonResD9GS26zuJCS/8eGS3uVK9LP3aaFDs5fezQ7Ql2ttS96QTvRWPK3VpYDZ7qsesaN3bmL6ygzjhlnyXCd7cU+KVf+iVcuHABv/M7v4Pz589j3759+OY3v+kVu54+fXpdB/Gvfe1raLVaeOCBB9Z9n6NHj+KJJ55I8tJ7QqkEjjthMcVWnuFsRd0wxyfcxSDJuWUrK+5CNzgU7moB3d9X52xxhCgAlHMktjjOltthv24twXI62lNd/aRhq9gJWewIi9H6IWeE1/tVivwUNACMK6GepZl3aa4jI8UdWLC/n4m6rWbEGAqiGiImDMPA6FAF5y+tYGG1jl1TvWd57tjlvpcWF2tYXWl45QtpseqtQZd3HRV1f4LE6JgSW4uhYks5W+0MiC2bt3cZGicd6I7zCbo3ADA2WMHpuUUsrgSLreGRKoaGylhZaeDc2QWv0elWIJNiCwAee+wxPPbYYz3/7Y033lj33z/60Y/iv6DLoGGrNCKjyNleJ7bCU0FBlj/Qdba4qaAx1ZRwcSG5YdSr6o01xFzoPLHFODzAdbaC5nn5qeRHYCAHBzYa1pKXVoybrlDnHq7gHCDgxA4N3uW6ouqp/VJ2xBaQ3joyWtwJNIDFDKQRGxEe9nRUlGtVDxhZAwCjA67YWloLnsxQHShhbHwAC5fWcPbMJXzkxh2XdV2Xy2rEBz4EvG8qpnq4Dbg/o0U3zbrU1q+vo0X3fiy1PuBdT4w0qYwhpN4vDBKiLcuCZds9+ySODipna00/r3bn7nH8x3sf4IMtJrYymUa80iArtsx4suQ6Wxz3huZ5Nds8d2JUzSZMsmHc6opbLzE4zBNbdBLI1BTIe2nEEGfLGzHB6LNlGDkvlVfrJNdPip4sy+yaLf5pRN0BgqixQ2IrSaGeZUYLbiooC2nEJvM0tE58A90O80FiAgBGB1Un9ZANc9duNx10NuVUYqdjeacRhzVrkP+tEuTilEPE1khBia2W/j0yUlBiq50FsUXrj76MgWIn6N6UfK0zgsaojQy4YmtpVT9CzRstl5E+bVxEbCUA14oF1ostThdwnXvjzfPiiq0UNsxVqpcYCK6X8OOdtmOkEUM3D28WHM+9qZrum7xmJfcmp3qbIvPJ0uK0DfHEqC52lNhiphE9oX4pOzVbaULzNBfbZ1MfLdKg09AhB3QcL3YCNkxTrScasTVcdQXLssbZAlx3AgDOnklXbFHbGQAYGAgWWw78B5eC7o96zwTMBxxWYmu5XdfGBBXIr3UueqcB06LuZWX0exedYM1BL0SB4PgZUfd/uaaPnR073TT02R+L2BJ82I7l9Srh1ExwnAnAV8waWK7ZTQW12sEzAv0Mq0HQy0vJiS0qTuXWS3h9tjTOVlihLxE2C24jlbwrthpW8s4W/zSicv60rmj49/HEVqfDEgsUO0sJxk6WGS647SVads07jZwW3KbKdJIsSKj7B5gHxcSQOtG3ojm+DwDb1YZ57oN0N0waFTY4VEbeDH7P2D5rKxdwOCdswPtQwXVubDjamayl/KAnjJda5zRXHz/c2LFDhHo+l/PKFwLvj4qdULGlDliIsyWsgzZLACjmw90JrtiikNalgopkazOdrZFRdzFYXExSbLmLzsAgt2YrfFwPt0A+qrNFp0nriaYR6TRQeOz4e7Tp4oesfn0a0d04HMcdURIGOVtLS/oeS1cLZq7o1fUttdPdMLnjwuyQtYfEhIPgwxXkbK3U9WKL3IkPUt4wV9TDQVjbGdv3+wa56t7ImgAxUcqZKKhTwqttvaAYKWYjlVjvLAIIn+sbFjtAd75k0P3xYidEqGcldqIiYitmKA1kGmXWCTaOMwH4na1gimrD5GyWADCsmhJSO4Yk8MQWM41IaVNdzZZfiOk2/mIumrNFm1VSToXfFeWkEaPW++lc0WKhG6stRvxQQ1rbcjIzsidtyN1Kep7mRujhoGLqN8ywtYdGsvhfuxEaYL4aciyf6m7mUp6nSQ+Ww6NV7ev8Pel6FXcD3XY0QULUMAwMFlxBsdrRiy2KneU2b7RUXNQsV2xV82Pa13FMgrD7Q7ETNvGEYufC7DKsTjaGmXMQsRUz1L25mNO/mQlOzQ3A65VUUDUWnM0SAIZUgejaajOxIF5TTzFVbs1WBGcL0NdtFTIutvyjMjjxYzEb4nJq2gq+glZOGrpUKqCk+qQtL6VbZ5IVsrJh0jDzMHeCHmSCNsyCT2QEDXnvii294J6ecTfM+QsraDPLHOJgQdUYjo3pH2Y6VrdZcFDbmTAxAQADprvOccVW2kKd+gpWTb3Yot9Z19+vEHJ/Biu82BmfGIRp5mBZdmYmVnAQsRUz3qgMRgoR6HYA56YRdRmbotl1tjipHX/d1FpIgWu/IBdE11DQj7chaJwtvw7TOn/qSb0dMKl+I1RzR6m9uKGfkzcKMHPBQ3IJrrNlILymLZczPPewHWD7b4SOzlPvtKudocI2AMBKey61a2jZdXQc9+9BNYdBtNXa43ew/PgdnTBnK2ym5uhYFYViHo4DzF9Ir6aNDnRQj8Eg2urhs6Cp6+JM9ajm3XWuHjKPNQuxA3QPA4WJrbbjPrAGxQ4QPnuTGzv5fA5Tapbv3Gy6zmgURGzFTDOys8Wr2SK5pU0Fmd3ADxqe6sc086hU1cDQhDZMT2wxnS3vCUrTQd5AtDQiLRRhUK8rmggQN9Fd0e7fmFMgHya/i1GdUSXWVzVNCa8mBtXUgaRHPPkhZ8I0yqFxRA4vOb4b8fduC6r3ozFPYVMrDMPA1JS7Yc7PpedOXFJ94cYm9AdQyNnyO74b6Y4J04zBMmlEWIjYUoPvVxIefO+nbTc8dz0sjUgPrAWd2Apx1KsRRoRNTZPY2jqD70VsxUxbbZgF5obJGSQMdDdM3axl0ye2uBsmiZ7VhMQWDYEtV8KdG8CXRtQcqTOYaUR6CmuxnS336dd/6CFOaKELm0tG2OvahoTfn7BB3QUzWs0f9Uqj3mlXO1nYMGsdt7VC1RwN7fLtbZgBqSDO+4rEVpg7AXQ3zAtz6W2Y3DQipdL9a+pGcowxYRU1j7UWIrYGC27srLbTF+p5oxgq1MNiB/DdnwBXlJpw15rhTabJ2crKLFYOIrZiputOMMfReONW9AujwWhvENXZArrpvLWEipypoWC1yhNbXusHrbPVRef80VNYhyu2VCq4lVAasRs73BQ0r0ebwXBFAaCg0ojs2Bmg2JE0IgBUTfeIOgmeNFhTP5sz8YCcLWqJ0guvfCEgdmg2Imce6/hE+iOeLs27P5sGqQdBD6t0SrcX3XsTDE2tCDsBTX+vurUI20mnpq0bO+OhQp1ip6iLHXLUA24QiS1OX8iJSTWLdT5bEyt0iNiKmbbtbjx8d4JXIM9olYR8LucFeEvTiNAPNfajU4JxQ8NEK0xny2I0NTXWnUYM/l5UzMkVWyR6aCJA3LSsaGlErisatugRZj5aGtET6gnFTtahDXOtcwmO5iBLnNQs5WyFpIEA34YZkEYE/A95vf+9HGGmJomtiylumDReiiYgBEHrZ0HjbIXoEQDddjNh81j948HIYUqavsdOiBwte1MrrHV9zXoxMUmxI86WoIiaCrIYs+0A36IX4k7Qhsl1J6oDqqYgpNdJv2h4acQC6/W2N4ia2fpB8708Z4v55EhpxHZCXZ3JQYtasxXUxZkIW/QIUxUDW+zYUcW/tfA0wNUATRxwYHtd3JMmirNFbgsJAh1By5PXSJkh0LsjntKZOuA4Di4qV208pGaLJimUC8FigtNejkaEtUNOQOeMvHd6NMmJFX7iip0gq6Docw3DDuWMqrTvQkqxsxlEbMWMJ7YMZtNOb8PkOVthI2nMqKmgweScLcdxvDRihZlGZNVsbfgZQXjOFtN1IMHcspNp3NnyemxFFFtcZyvk+0UW6tVkU9BZJ28UvBOsNdUcMmn8qaAwmrbaMPPBG2ZY3JPzw0kFeRtmSiOe1labaLfcTT1MbFFj6JJObDF+Jp2Apnutg04ApuZseW0f9KdYAX/s6O6P/g75y17CxoR1B9+L2BIUbdvdeAo5ntiymc6WdxoxLBWUi+hOKNGTRGPKdtvyrovf1JRSZbo0Yvf/626PyZgR6IdEjwMblhO/e9N1RbmxE35vAF7rB8Av1HnOHwnmRkhDy6uJsnIn0hrZE0lsqZl+ZZ3YUv9rBLkTJl+gj6hGossJNlH2Q7ViA4MllEp6R4bEI6VJexE2WxIATNXYWteLi+jGTjquaC2Ss0WxE/zQTMtN0P0pRKgx9mInwWknl4uIrZhpqx43Zi7aoGW+O9FfZ6s6kJw74d+Uy2VmzRYjjcht/dDt+8ITE37RQ8XrcbLZ04hhsUOEOlu5aLFDdXc1SSN6VBJuhLuRWucigG6xvg7PnQiou/G76IEbZp7f2294RPVlS2meJtVrhblaQNdp0TtbDLGl3lNtRulC2rGzptKXHKHeCIkdwL8+9b4/hsHv7efN8V2ph9Z3ZQURWzHTiZhGtBmz7YDgJ8uNUPDqjiP7IWernoA70ai7b9BCMa8dAuvHZhTIc4maRjSMHEz1d0yibiuys8WNHU4lL3xCnRk75bIq/q3zZk1eDZQT7s22kbVOhA1T1d0EuRMWYz6gv9lwWGsRmkeYVhPcSxdV24eQ4ngAqFPNVjFYTHBcd1pzLIbY6sZOWkKdXyDv1WxpXFGL4/wxGsMC3dixLSex+uLLRcRWzHRPI0ZLI4a1fuCSZwYvUakmV+Rcb6jFnelqAbyaLS7dgdX8k2JFr24r/g2i7WwuBd2/2OH14yLokEMjZLbZ1UQpT1MHkj9xZzsW6hFm29GJsiCx5Xe2ggS9X4TZIWsO1YfW1pqpuBOeszUe7mxRK4uKJt3YPSmt6TIfoXQh6YkVG1nzerTxhXpFk0ak+NE1pM575kBIfVfJRKGohnpvkYkVIrZiphNxw6Q3bJhzxT2+T4tfx4q4YSbgTjQ9sRU+oJuwGLMR/eh+67z3lMkXW/R3TMLZ6qh6P5N9uIIXO0RYmsdb+JhpRBLN4mx1oXYhrYTahbKFFpkAABdLSURBVPipW8twYAMwUAkpcva3Igiq2eqsc7Z6bx3+92XYhknjwRwnmRrRjZCzNcpxtlSTVr2zFV5v6z3gMR5+PaFuJS/UHcfpCvWQUT1AtyN+WXMakeKH07aHs+YMKrG+ukVazYjYipl2xA3TYacReeQYA6v9eKmgRnJiq1TmtX0AfEWozD5bOugec+8NAJgktpz4n6Zopl2BWe8XNXbC5DfVfnFdh5ISzWEnia4muk5o8kXgdJqskh9G3tA/0NBmacAIrLtZNw4qQGwZOV69JAAUCnmvvUgthVRQlJqtOjlbmgJ5qv3UjhLzWvaEQ7WabSf52Gnaq7Ac93fmpBE9sWUGO1ucUWvcUWJA90COpBEFAN0NkzNIGOB3kO8S4k5QKojtbCl3IoFUEAm6YshJID82I++/Hk2B/CbSiFR710kijegJdeZJzYixw3ZFuTVbFTmNuBEa09VO4EDFRuo0RJixWTbUZlnJFwIfVtoWQ2z5HgPD2tIAyZYtbIR6NI2OhbdWqTfdBwhdGrHtiQldl3lef0Sge/o5icM4G6mrViXFXDV072rbHW/t0aURO5z7w5iMQlCrma1yIEfEVsx0bDcQuBumwz6NyNtQyQHiLHwAUCqppoTN+N0J+hkljTW/ka6zxRvXo6M7q4tfL0LOFqWH44TaS+QNnlDnxw7v51PscHuKUew0G+JsEQX1vm8nEC8bod5eYSlEwOdMaDbLts+54Qh6zhpFJQRJOOkbWVxwRcxoyFxEgFezRWK0kA/fVjmpftozqJwgSWoqhVjJc2Kn+7erBKSgHcdBi4Z5a9buKHhOegqxsxlEbMUMbZjs1g+guhseoakgSiMy3QnaMJNY/Foq3VQs8cWW7US8P5obRJ3WI6URlfBpJ7AAdrzYYTZ8jRg7YXQPV3DFlpptxhhCfLVA7/s0Nsy6t2GOhL+2Q86WRmyRmNBslhzHxg+VEKSxYS4pZ4t6NungpBFJjBbzwc5NlPvTrQ9NvgA8WuyQA59HISAF7XfHdWI0SrNoWm/SEOqbQcRWzHTicieYP7+bKuMFcUG5TO12/MNPPbEVwdlidZDnun7qdXaEBZA2zySamm7W2epX2xDv/kQU6m2p2fKgvx3VvyRJ3VoCAFRZ7oQSW5qaG3ImdGLC/1biuF/FBNebjSwvubVQYwxniwrkqxpnK8r94axRmYidCK5olRE7gH5YdVjjUz/0kJ5G7GwGEVsxQ2+UvMGc/RfRuQnDy4Ez3Qla/FoJbJjtdnSxxenSzIUEbZSnKTPBBdCyI8ZORFchjHzEFDQtfq1WJ5FxRlsB+tuluWGWzXB3omaFO1teGkgjJvyxwhEUJnWcT3jDbDTaniMyzHC2ak1OGpHSZJr7Q41PGSs8HWqwnOQfXuodt7dXmeFs1Rgp6PViS+P8MQ5AEdRxXsSWAACw1Rsl7DQQQTYz150J29MoaCM7WwnUbHXaqmCyoHkS3IAnRtmtH4J/78302aLNk2rx4sTyYocnthxPqPcnCW14zhYzdlR3bccBOh3+Pb2Sofe9ncKGSc0wqRO5/rV8saXbLP0uKKcVHomtNmNwdT9ZVl3rTTPnNXLWQc6WLo3Y5NyfCIdYcl7sJC/UKXaosar+td3DFUFQijVnGNrTiFaE9Z32jaSF+mYRsRUjjuNEdra8kQ99+tPkIpzuAICCOoqdxOJHzlYhgthyItjwYdA9jlJHkeQCuNnYCZ2NGLVAnvfydaJ5qyyAcWOoXm42kr8f1LW+zBBbNUbNljf/zgx+cOz4hLmpS6cpcnkl6JmnpfvFyrJbBzU0XGGtJV6fLW0aUR340d4f6sXFKKIn5x3JP7g0bH7s1BkNTZtqPymFxAT11zIZhwy8w1/MMoe0EbEVIza6T7M5prPVdW76cw2R3QnlbCWxWZL9azJH9QD9vT/0PbhpMiDZtBAJuqix06/gMSLWbPlFMwnpqx1P0DPGs/QbT2zlorgT4RumzrmhzdIweKmgtDbM1RW3Xosaq4bBKZBn3R+HL7YodqIc4OkXzQixwznJyqpnQ7fZq879InJe0+WtUbIgYitG/KkDfhrRJSynzy8CX/99wyDh0+nYsdfdWJ3oaUROzRa79QOiOTeALy2UgFNBP6PfscPFa37KvEH5fM7TeZJGJKLHWL+gzuMlViqI3AmGc6MpcO54zgTvPd0Ph3ozrK64J+iGhnhD3uuMmi2W8+eE13V1SefeAP7YYYwyUq5oVSO2Gp3we+M4jnfymeNspXd3NoeIrRixfU+zBniLjxOxJimMqAXyebN7nXFb+/QUnGe8sQinjwcIojTQ636NSgslUIND8ZOLGjvccT0h/+6dRoxygIAKnhOuwck+ycstmsdYyjFO2zHcCU5NEhWJczZLP0mfp1hdddOIA4O8ljxRnC1dqozEFsfZ4s966D80j5ETO5wCeRKiupOIHX/T3Cjxs0UO44jYihG/2IpaIN9vuN/XH+TcmXibxYr4FAz43ld9fCKOVLMFqtlKwNkisRU1dvqcgo7k/JnR5ile6VC9jZHwUus4jtd5vJhnNO0kZ0tzfJ/jTlCtZ9Hkvaf7OVg+CjSLcWAgXGx1LNsTApfrbFGheFA/qvVQSjb5bbqlxFak2NGmoPmxAwAFzesI7+Ey4djZLCK2YsT2FTZy3zCelujTjtntAs57fd5XPxW3O0EbMhXJcvBOa3Jfz2hqGsXZyiXpbKk0YlqxQ98myv3xhldLGhGAT2wlvGG6szvdvxvNZ9RBzlZJM0iYxJauAJw2TE4XdSDaUf9+QmKrwjiJSN3jAaBUCP7d6f5onT+bn0a0UxLqQHdEEI0M0tHwnC1O7Ohc0WjOVleobw0ZszWucoviREwDuV/T5z5bEb+TP3DjrtmiNGWUNCLRj8V5M6laYxMnGDeDe+/pZCo/foB+xk50uhMLtoa1HzdRU8H9ou0NvjZgGuFF4E3lTug2TI470VSHXooaUeKHRPlm1oDLoV5XbgxLbLm/t2EAJU19KaUR9c6WEmQMZ8vbP4xkYwcAWlYUscVwtixKsQb/3i0VX/mcwRJbmylDSZOtcZVblKjORJxwxYG/8Jw7pmWz0MmTKKInDv0X5VtSI1Q75uPYzjpXlNtzLX2B0z1dlv61ZAFyQLmp4H5BYquQK7Pip2EzxBajQN5LIzLFFqXn8sy0Y79oNJQbUw5vq0LOVrkYPKQb4Dl/zQhii/rsJS3UO3bLO0nPEluq56AuLjgp6JYS6gVmLHgHrCKcZk+TrXGVW5VugVHkL+1fgfyGSwnBn9KzY6672UwKoZ9beLf8NEKBfEJH+deJrYhv074froiSZt1ivW/iJmqvtH5BsztpmHEYnpBipRGDN8NWxJqtzibav/QDmsVYYokt9XuHCEiOGG0pscWp2UpLqHec7ixGM8dxRcNjp8kRojRRhBk7JOyjnGZPk8yKrWPHjmHPnj0ol8u488478fbbb2tf/zd/8ze4/vrrUS6XcfPNN+Mf/uEfErrSYGjD7FeD0s0RbeP1b9RxGyXkfmymwLE/dUlp/dxw1guciH/D0H/nfb+orR+A7t8yAyYbgPTXkajDxPsFzdVkiy3lbF2+O8ETJt7rSchEGEbfD2hUT7kc/nchEVAOE1uc++MJk/Dftxs7vL9hvyChnkOedbCLlYJmHB4goc6OnWb0cW9pkkmx9corr+Dw4cM4evQoTp06hVtvvRX33nsv5ubmer7+rbfewoMPPohf//Vfx7/+67/i/vvvx/33349333034Stfj7ffREmTxVULFGXD3ERh9Gbod33apq8jyou9E3oJphFTvkPRnL9orUbiJAvrSFrOlhVR5LW89Fb4oGXdhtmI6E6Q2CowN9h+QRs1R+Q1GQLSsm20lZurTyOSqA2Ph+4g+rRihyfyGozfidMWo8l0EAkaeF8oirO1aZ555hl8+tOfxsMPP4wbb7wRzz77LKrVKl544YWer//DP/xD/NzP/Rw++9nP4oYbbsAXvvAF3H777fjqV7+a8JX3Js3NcjMZpaQbDW7q5/Wxg3zmSelCN3WAIEP3NAvrSMd2UzIFRpF6P7EiTh/gNCzlFcir1zDdBkrnlSsJp1mpPoixUXuOi+Z3avoGLWvvjx3B2VIOU1qxwxV5LUYdGscV5Yjadd9TCWaOO5kFMue/tVotvPPOOzhy5Ij3uVwuh0OHDuHkyZM9v+bkyZM4fPjwus/de++9+Nu//duer282m2g2m95/Ly0tAQCWl5cv9/LXUWs3MWXfDNMpsb/3QDuP20q7sNsY1n7N9kIRd05OYco0ta/7H1ODsFpTKOUt9jXctG8Gju2gVl+DuRyfgzO1rYKb981geLTAvrbrt49gvJJHzmoHfo1l27hzcgoAUFtdRb7de7SOVWvittIuDBfK7J9v1IcwZd+Mcmum7/Hip2O3MGXfDABYXV6FmQsfD5RvWLittAs7zTHttY3lcrhzcgq7S/q43DFSwu17pzBSyrF/14/cOIXtSwPo2I3Luj/0tZt1V5NYR4DwtSRXH8KkfRNKzelY42UjrYaBKfsWDHW2sX7udeYEBkt5FBp24Ot3FEs4MDmFyXzwmlPO2bhj7xT2Tg2yfu5HbpzC6moTttNK9P7s3D2EWm0a5aoR+nONTgv7927D9omhwNeutlr46LZptDodNNbW0AloR3CdOYmBUg7FphP6czu1AqbsWzDYuSbRe1NrNTFl34IieOvitblRNEs7UW0HrxMTeXfN2aVbc9R9nh7nxc6enxhFsWijWAqOWeDy15K+4WSMs2fPOgCct956a93nP/vZzzoHDhzo+TWFQsH5q7/6q3WfO3bsmLNt27aerz969Cidq5cP+ZCPDH+cOXMms+uIrCXyIR9b52Oza0m/yJyzlQRHjhxZ9wS7uLiIa6+9FqdPn8bIyEiKV5ZdlpeXsXv3bpw5cwbDw+GT4K9G5B6Fw71HjuNgZWUFO3bsSPDqoiNrSXTkfRKO3KNwttpakjmxNTk5iXw+j9nZ2XWfn52dxczMTM+vmZmZifT6UqmEUunDxX8jIyMS2CEMDw/LPQpB7lE4nHt0OWIliXUEkLXkcpD3SThyj8KJey3pF5krkC8Wi7jjjjtw4sQJ73O2bePEiRM4ePBgz685ePDgutcDwPHjxwNfLwjClY2sI4IgZInMOVsAcPjwYTz00EPYv38/Dhw4gD/4gz/A2toaHn74YQDApz71KezcuRNPPvkkAODxxx/H3Xffjaeffhr33XcfXn75ZXznO9/B17/+9TR/DUEQUkTWEUEQskL+iSeeeCLti9jITTfdhNHRUXzxi1/EV77yFQDASy+9hI985CMA3CPapmni/vvvBwDs3r0bN9xwA37v934PTz31FGZnZ/H888/jrrvuYv/MfD6Pj3/84zAZ08avVuQehSP3KJyk7lEa6wggMcBB7lE4co/C2Ur3yHCctM9DCoIgCIIgXLlkrmZLEARBEAThSkLEliAIgiAIQoyI2BIEQRAEQYgREVuCIAiCIAgxImILwLFjx7Bnzx6Uy2XceeedePvtt9O+pMzw5JNP4qd+6qcwNDSEbdu24f7778f3v//9tC8rszz11FMwDAOf+cxn0r6UTHH27Fn8yq/8CiYmJlCpVHDzzTfjO9/5TtqX1XdkLQlG1pJoyFrSm626llz1YuuVV17B4cOHcfToUZw6dQq33nor7r33XszNzaV9aZngzTffxKOPPopvf/vbOH78ONrtNu655x6sra2lfWmZ41/+5V/wJ3/yJ7jlllvSvpRMsbCwgLvuuguFQgH/+I//iPfeew9PP/00xsbG0r60viJriR5ZS/jIWtKbLb2WpDqZMQMcOHDAefTRR73/tizL2bFjh/Pkk0+meFXZZW5uzgHgvPnmm2lfSqZYWVlxrrvuOuf48ePO3Xff7Tz++ONpX1Jm+NznPuf89E//dNqXETuylkRD1pLeyFoSzFZeS65qZ6vVauGdd97BoUOHvM/lcjkcOnQIJ0+eTPHKssvS0hIAYHx8POUryRaPPvoo7rvvvnWxJLj83d/9Hfbv349f/MVfxLZt23DbbbfhueeeS/uy+oqsJdGRtaQ3spYEs5XXkqtabM3Pz8OyLExPT6/7/PT0NM6fP5/SVWUX27bxmc98BnfddRduuummtC8nM7z88ss4deqUN/ZFWM/777+Pr33ta7juuuvwrW99C4888gh+67d+Cy+++GLal9Y3ZC2JhqwlvZG1RM9WXkuy3+NeyAyPPvoo3n33XfzzP/9z2peSGc6cOYPHH38cx48fR7lcTvtyMolt29i/fz++9KUvAQBuu+02vPvuu3j22Wfx0EMPpXx1QhrIWvJhZC0JZyuvJVe1szU5OYl8Po/Z2dl1n5+dncXMzExKV5VNHnvsMbz66qt4/fXXsWvXrrQvJzO88847mJubw+233w7TNGGaJt5880380R/9EUzThGVZaV9i6mzfvh033njjus/dcMMNOH36dEpX1H9kLeEja0lvZC0JZyuvJVe12CoWi7jjjjtw4sQJ73O2bePEiRM4ePBgileWHRzHwWOPPYZvfOMbeO2117B37960LylTfOITn8D3vvc9fPe73/U+9u/fj09+8pP47ne/i3w+n/Ylps5dd931oSP+//mf/4lrr702pSvqP7KWhCNriR5ZS8LZ0mtJ2hX6afPyyy87pVLJ+fM//3Pnvffec37jN37DGR0ddc6fP5/2pWWCRx55xBkZGXHeeOMN59y5c95HrVZL+9Iyi5wgWs/bb7/tmKbpfPGLX3T+67/+y3nppZecarXq/OVf/mXal9ZXZC3RI2tJdGQtWc9WXkuuerHlOI7zx3/8x84111zjFItF58CBA863v/3ttC8pMwDo+fFnf/ZnaV9aZpEF8sP8/d//vXPTTTc5pVLJuf76652vf/3raV9SLMhaEoysJdGRteTDbNW1xHAcx0nHUxMEQRAEQbjyuaprtgRBEARBEOJGxJYgCIIgCEKMiNgSBEEQBEGIERFbgiAIgiAIMSJiSxAEQRAEIUZEbAmCIAiCIMSIiC1BEARBEIQYEbElCIIgCIIQIyK2BEEQBEEQYkTEliAIgiAIQoyI2BIEQRAEQYgREVuCIAiCIAgxImJL2PIcPHgQhmHg5MmT6z6/vLyMffv2oVQq4fjx4yldnSAIWwFZR4Q4EbElbHm+/OUvAwA+//nPe59rtVr4hV/4Bfzbv/0bXnzxRfzsz/5sWpcnCMIWQNYRIU5EbAlbnp/5mZ/Bfffdh9deew1vvPEGHMfBr/7qr+K1117D7//+7+OXf/mX075EQRAyjqwjQpwYjuM4aV+EIFwu3/ve97Bv3z589KMfxYEDB/DMM8/gyJEj+NKXvpT2pQmCsEWQdUSICxFbwhXDQw89hL/4i78AAPzar/0ann/++ZSvSBCErYasI0IcSBpRuGKYmpoCAAwNDeHYsWMpX40gCFsRWUeEOBCxJVwRfPWrX8XTTz+N6elprKys4MUXX0z7kgRB2GLIOiLEhaQRhS3PX//1X+PBBx/E3XffjZdeegk33HADqtUq/vu//xvVajXtyxMEYQsg64gQJ/knnnjiibQvQhA2y4kTJ/DAAw/gJ3/yJ/Gtb30Lk5OTaDabePXVVzE4OIiPfexjaV+iIAgZR9YRIW7E2RK2LKdOncLHP/5xTExM4K233sL27dsBuE0I9+7dC8uy8P7772N8fDzlKxUEIavIOiIkgThbwpbkBz/4AT7xiU/AMAy8/vrr2LNnj/dvpVIJhmHg1VdfhW3buOeee9K7UEEQMousI0JSiLMlCIIgCIIQI3IaURAEQRAEIUZEbAmCIAiCIMSIiC1BEARBEIQYEbElCIIgCIIQIyK2BEEQBEEQYkTEliAIgiAIQoyI2BIEQRAEQYgREVuCIAiCIAgxImJLEARBEAQhRkRsCYIgCIIgxIiILUEQBEEQhBgRsSUIgiAIghAj/x8FG8e7e4HMngAAAABJRU5ErkJggg==", "text/plain": [ "Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_phi0s(k=1.6, tstar=5);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Now let's see how the perturbation energy evolves if we use each of the previous eigenvectors as an initial condition." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "function compute_energy(phi0, tfinal, AM)\n", " t = range(0, stop=tfinal, length=101)\n", " energy = zeros(length(t))\n", " dt = t[2]-t[1]\n", " expAMdt = exp(AM*dt)\n", " phit = phi0/sqrt(dot(phi0, phi0))\n", " for j in 1:length(t)\n", " energy[j] = dot(phit, phit)\n", " phit .= expAMdt*phit\n", " end\n", " return t, energy\n", "end;" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k=1.6\n", "A, M, AM, Msqrt, invMsqrt = create_operators(k)\n", "\n", "tstar, tfinal = 5, 10\n", "s1, u1, s1adj, v1, s1inst, w1, s1opt, y1 = find_phi0s(k, tstar)\n", "\n", "figure(figsize=(6, 2.8))\n", "t, energy = compute_energy(u1, tfinal, AM)\n", "semilogy(t, energy , label=\"eigenvector\")\n", "t, energy = compute_energy(v1, tfinal, AM)\n", "semilogy(t, energy , label=\"adjoint\")\n", "t, energy = compute_energy(w1, tfinal, AM)\n", "semilogy(t, energy , label=\"instantaneous\")\n", "t, energy = compute_energy(y1, tfinal, AM)\n", "semilogy(t, energy , label=\"optimal \\$t_*= $tstar\\$\")\n", "semilogy(t, exp.(2*real(s1[1])*t), \"--k\")\n", "xlabel(L\"$t$\", fontsize=16); ylabel(L\"$E(t)$\", fontsize=16)\n", "legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We see that the eigenmode grows the least of all!\n", "\n", "What's even more interesting is to repeat all these but for a zonal wavenumber $k$ for which there is not any unstable eigenmode of $\\mathbb{A}$. For example, let's do it for $k=2.6$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_phi0s(k=2.6, tstar=5);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k=2.6\n", "A, M, AM, Msqrt, invMsqrt = create_operators(k)\n", "\n", "tstar, tfinal = 5, 10\n", "s1, u1, s1adj, v1, s1inst, w1, s1opt, y1 = find_phi0s(k, tstar)\n", "\n", "figure(figsize=(6, 2.8))\n", "t, energy = compute_energy(u1, tfinal, AM); semilogy(t, energy , label=\"eigenvector\")\n", "t, energy = compute_energy(v1, tfinal, AM); semilogy(t, energy , label=\"adjoint\")\n", "t, energy = compute_energy(w1, tfinal, AM); semilogy(t, energy , label=\"instantaneous\")\n", "t, energy = compute_energy(y1, tfinal, AM); semilogy(t, energy , label=\"optimal \\$t_*=10\\$\")\n", "xlabel(L\"$t$\", fontsize=16); ylabel(L\"$E(t)$\", fontsize=16)\n", "legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "What if we plot for larger times?" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k=2.6\n", "A, M, AM, Msqrt, invMsqrt = create_operators(k)\n", "\n", "tstar, tfinal = 5, 100\n", "s1, u1, s1adj, v1, s1inst, w1, s1opt, y1 = find_phi0s(k, tstar)\n", "\n", "figure(figsize=(6, 2.8))\n", "t, energy = compute_energy(u1, tfinal, AM); semilogy(t, energy , label=\"eigenvector\")\n", "t, energy = compute_energy(v1, tfinal, AM); semilogy(t, energy , label=\"adjoint\")\n", "t, energy = compute_energy(w1, tfinal, AM); semilogy(t, energy , label=\"instantaneous\")\n", "t, energy = compute_energy(y1, tfinal, AM); semilogy(t, energy , label=\"optimal \\$t_*=10\\$\")\n", "xlabel(L\"$t$\", fontsize=16); ylabel(L\"$E(t)$\", fontsize=16)\n", "legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The adjoint eigenmode grows in energy up to $10^5$ times...\n", "\n", "**Exercise**: Try looking for what happens for even longer times." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "So it's apparent that for non-normal operators eigenanalysis does not tell us much for how the perturbations will actually evolve. \n", "\n", "As a last example let's consider the following. From the eigenanalysis of the problem we see that there is a high-wavenumber cutoff of the Eady instability. That is for $k_1k_{\\mathrm{crit}}$ all eigenvalues of $\\mathbb{A}$ have negative real part.\n", "\n", "Let's pick two wavenumbers close to the $k_{\\mathrm{crit}}$ and investigate what's the maximum perturbation growth that we can get." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tstar, tfinal = 10, 50\n", "k1 = 2.38 # this is k_crit\n", "A2, M2, AM2, M2sqrt, invM2sqrt = create_operators(k2)\n", "s2, u2, s2adj, v2, s2inst, w2, s2opt, y2 = find_phi0s(k2, tstar);\n", "t2, energy2 = compute_energy(y2, tfinal, AM2)\n", "gr1, gr2 = round(real(s1[1]), digits=3), round(real(s2[1]), digits=3)\n", "\n", "figure(figsize=(6, 2.8))\n", "semilogy(t1, energy1, label=\"\\$k_1= $k1 \\$, \\$\\\\sigma_1 = $gr1\\$\")\n", "semilogy(t2, energy2, label=\"\\$k_2= $k2 \\$, \\$\\\\sigma_2 = $gr2\\$\")\n", "semilogy(t1, 2e3*exp.(2*real(s1[1])*t1), \"--k\", linewidth=0.8, label=\"\\$\\\\propto e^{2\\\\mathrm{Re}(\\\\sigma_1)t}\\$\")\n", "semilogy(t1, 1e3*exp.(2*real(s2[1])*t1), \"-.k\", linewidth=0.8, label=\"\\$\\\\propto e^{2\\\\mathrm{Re}(\\\\sigma_2)t}\\$\")\n", "xlabel(L\"$t$\", fontsize=16); ylabel(L\"$E(t)/E(0)$\", fontsize=16); legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We see that for both wavenumbers if we start with the eigenvector of $\\mathbb{A}_{\\mathbb{M}}^\\dagger$ as initial condition the energy evolution is same for up to $t\\approx 10$. Beyond that point the energy evolution goes as $e^{2\\mathrm{Re}(\\sigma_1)t}$ for $k_1