{ "cells": [ { "cell_type": "markdown", "id": "86a96575-61e6-4e78-8f4a-3dba7a134531", "metadata": {}, "source": [ "# 2025-11-14 Stiff Equations\n", "\n", "* Implicit and explicit methods\n", "\n", "* Stiff equations\n", "\n", "* Adaptive time integrators" ] }, { "cell_type": "code", "execution_count": 1, "id": "edd38524-ac9b-4f70-a09a-2e714ee28ecd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ode_rk_explicit (generic function with 1 method)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using LinearAlgebra\n", "using Plots\n", "default(linewidth=4, legendfontsize=12)\n", "\n", "# Runge-Kutta table\n", "struct RKTable\n", " A::Matrix\n", " b::Vector\n", " c::Vector\n", " function RKTable(A, b)\n", " s = length(b)\n", " A = reshape(A, s, s)\n", " c = vec(sum(A, dims=2))\n", " new(A, b, c)\n", " end\n", "end\n", "\n", "# Helper for stablity of RK methods\n", "function rk_stability(z, rk)\n", " s = length(rk.b)\n", " 1 + z * rk.b' * ((I - z*rk.A) \\ ones(s))\n", "end\n", "\n", "# Some specific RK methods\n", "rk4 = RKTable([0 0 0 0; .5 0 0 0; 0 .5 0 0; 0 0 1 0], [1, 2, 2, 1] / 6)\n", "heun = RKTable([0 0; 1 0], [.5, .5])\n", "Rz_theta(z, theta) = (1 + (1 - theta)*z) / (1 - theta*z)\n", "\n", "# Solve an ODE with RK\n", "function ode_rk_explicit(f, u0; tfinal=1, h=0.1, table=rk4)\n", " u = copy(u0)\n", " t = 0.\n", " n, s = length(u), length(table.c)\n", " fY = zeros(n, s)\n", " thist = [t]\n", " uhist = [u0]\n", " while t < tfinal\n", " tnext = min(t+h, tfinal)\n", " h = tnext - t\n", " for i in 1:s\n", " ti = t + h * table.c[i]\n", " Yi = u + h * sum(fY[:,1:i-1] * table.A[i,1:i-1], dims=2)\n", " fY[:,i] = f(ti, Yi)\n", " end\n", " u += h * fY * table.b\n", " t = tnext\n", " push!(thist, t)\n", " push!(uhist, u)\n", " end\n", " thist, hcat(uhist...)\n", "end" ] }, { "cell_type": "markdown", "id": "4e215638-d0b9-430f-b67f-d4d9d63e5907", "metadata": {}, "source": [ "## Ordinary Differential Equations\n", "\n", "Given initial conditions $y_0 = y \\left( t = 0 \\right)$, find $y \\left( t \\right)$ for $t > 0$ that satisfies\n", "\n", "$$ y' = \\dot{y} = \\frac{\\partial y}{\\partial t} = f \\left( t, y \\right) $$\n", "\n", "| **Application** | $y$ | $f$ |\n", "| ------------------ | ----------------------------- | ------------------------- |\n", "| Orbital dynamics | position, momentum | conservation of momentum |\n", "| Chemical reactions | concentraction | conservation of atoms |\n", "| Epidemiology | infected/recovered population | transmission and recovery |\n", "\n", "$y$ can be a scalar or a vector." ] }, { "cell_type": "markdown", "id": "99e37b65-59d7-45f4-89a9-d4754a86c1e7", "metadata": {}, "source": [ "## Solving differential equations\n", "\n", "### Linear equations\n", "\n", "$$ y' = A \\left( t \\right) y + \\text{source} \\left( t \\right) $$\n", "\n", "Autonomous if $A \\left( t \\right) = A$ and the source term is independent of $t$.\n", "\n", "If $y$ and $a = A$ are scalars, then $y \\left( t \\right) = e^{a t} y_0$.\n", "\n", "If $y$ is a vector and $A$ is a matrix, then we have a similar solution for systems: $y \\left( t \\right) = e^{A t} y_0$." ] }, { "cell_type": "markdown", "id": "8664f0df-abdc-4142-948a-c66d90527491", "metadata": {}, "source": [ "### Matrix exponentation\n", "\n", "What does it mean to exponentiate a matrix?\n", "To the Taylor series!\n", "\n", "$$ e^A = 1 + A + \\frac{A^2}{2} + \\frac{A^3}{3!} + \\cdots $$\n", "\n", "There exist many [practical ways to compute it](https://bpb-us-e1.wpmucdn.com/blogs.cornell.edu/dist/c/9924/files/2021/10/19ways.pdf).\n", "\n", "Exploration:\n", "Suppose that the diagonalization $A = X \\Lambda X^{-1}$ exists.\n", "Derive a finite expression for the matrix exponential using the scalar `exp` function." ] }, { "cell_type": "markdown", "id": "283a1ded-2cfc-4e6f-848c-c16ace4036d3", "metadata": {}, "source": [ "## Forward Euler Method\n", "\n", "The simplest method for solving $y' \\left( t \\right) = f \\left( t, y \\right)$ is to use a finite difference to write\n", "\n", "$$ y' \\approx \\frac{y \\left( h \\right) - y \\left( 0 \\right)}{h} $$\n", "\n", "which yields the solution estimate\n", "\n", "$$ \\tilde{y} \\left( h \\right) = y \\left( 0 \\right) + h f \\left( 0, y \\left( 0 \\right) \\right) $$\n", "\n", "where $h$ is the step size.\n", "Let's try this on a scalar problem\n", "\n", "$$ y' = - k \\left( y - \\cos \\left( t \\right) \\right) $$\n", "\n", "where $k$ is a parameter controlling the rate at which the solution $u \\left( t \\right)$ is pulled toward the curve $\\cos \\left( t \\right)$." ] }, { "cell_type": "code", "execution_count": 2, "id": "c522d576-5c32-4422-8136-1b3f6eaa3fe1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ode_euler (generic function with 1 method)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Forward Euler ODE solver\n", "function ode_euler(f, y0; tfinal=10., h=0.1)\n", " y = copy(y0)\n", " t = 0.\n", " thist = [t]\n", " yhist = [y0]\n", " while t < tfinal\n", " tnext = min(t+h, tfinal)\n", " h = tnext - t\n", " y += h * f(t, y)\n", " t = tnext\n", " push!(thist, t)\n", " push!(yhist, y)\n", " end\n", " thist, hcat(yhist...)\n", "end" ] }, { "cell_type": "code", "execution_count": 3, "id": "9067b4cc-c3a0-41d1-98bf-a1d6bdaac9ff", "metadata": {}, "outputs": [ { "data": { "image/png": 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fkso2LD4hJRVVLfyhps8I3HbS4IODYeNmMYPmUsMfK31y93eXKjZ+9Y3zZEa0HsZkqD+zn7v0vTO1lX/o038MprKGXYVSlTN3Pxy7+Z4f137c7jT9CGdAG+rqz9rH96vgiQAAwNCqvR+P7Nu1hSpaPoMmYAprik1LVanx2ikAQHM7SJfhhYoQ4LjPILu3of5489sLhHgYLvyrsuXWqiT8/wgYwrb9bp3p073p5SQLRsh9ofGdXWlzUcOwmglvrdq4xSniItpI/dkDXCyELDBU3b21gYCYUu0zcCx3ubh/6M3zx0aNvFN4EREOUH9yD2O2JlQrNtFXfnxf+8Mj2o/ueDi6essXn7Xwh7jGTwPF15/dsiqic++k4ZPDOveZPveRkpISp4rdrFSi9OpsfAaO55wPycJsc94NceVBNEZ/wu5j/UvgKBOuAACAjKPa7AMT77675b/V3DEO2E6Y+tSnJRvzrL/w01VWoRL2bkHdMfsC9If0iv2HDrVwcwN8Bo3n2oqim6AGGXXcDnj+drzn4dPb1v+zclHexeNrPnr/trHFPoPtC9lIYzn19B8lT+0pWXTit+BJd4yZZDAYnCV083inIpT5B6m62JOa15/Y08LNCNdjqS43pZ/nLnf/vT142wu6L6cMOvvR/h0/KxSKFv4WAECEhMsT7FWX763aZ23VFAcFBjhBXkTbMBXlkrY0IjTAVqS8Of2lj99f0dJGAUYeHmc/UGSY+jP7Wrwd4WrIwmyywObRhss0d4yLiIjo3r17K9NrKGI7ySOtzqIExqTqj7FtS/eJRSmpm7d86wSRb4N3KkIAgGbAXVy7/vwh0mS8du3a5cuXzWaziFIhWOrP7OfcKBQxyb9+v/G3V2ee277x6N87Wlm62g/aNEypOYgxDGAY/7/eXfjIf5wiMaItnPrGnjn2uG/3/PB+lY/8tPLLr6uqWjr9hfEZYLeOGqCzRoQ7UH/2ANdWdeot8wtq6xM0/ex1F+6psj/NkDxq37EzDgnXLrxWEaq6DMA11mhruq565ugRI55aMvrZD2O79f/s8y/FlQ0BH7Nr+o2KiooaOnRoZGRk65+g7j4IyK0bx2hz6cDjy7Vrx83tpZ3/4FyBZUW0HU2uvZ7AtoARAACAE+bOdx0/fryVT1D3GmY/3SjKJfNvCiwiot0wjAFShPCBX+vR9B3J2E43uhsyEswF1l9QRpXyNgYhZ+C1ihCTEeoeQ7jLYaNSS+7fXHLfhuLnD7/5w6F1m74STzSpQ5UV2t9rOK7uPaIdD8GUak23Qdzlh/FFR39ev/pDKRYmdDfIW5k6mTW8zIzJ//S3DhNNKFqfRhjX+KlS+nGX9efbcMSIcCrm7GtUOVsSFGByBfyabT2ygBBZfBfucmK1tYST/4Vfp48f5biQbcVrFSEAQNPH7mk2Vn+GABYAAJCra2Z89v7KtaKJJXkMF+x1y5SJ3WX+bbarsKih8U20VCUlJjoqGUII4PE96Nu7RmZNi69KP9inT5/WP0fdezj0zH8vXLiwZcuW7du3l5WVCSUqoh3UX/iXa6u63YEp25kgLaC/3To6qeYIqK/y2/lOdzonNXVqC3/lJLxZESqTeuA+/mw70FI7SH/J+guVn8ECmsyGh3ABBmgiqXsObfdzVJ37cZPQUlXGFXlBiEv9BXuZlz/ZqBjS6PP7G+MH9YyKimr9c1RdB2KEtYohVXrriRffnb+74oHvLnQdNn7F6i8EFRnRBoyXj3FtTbvMOSzqHkMAbs2o0cWQNWbb7Pfuij3457YmUw45G29WhACXqbvZC36Oq4bOJygTKugqCpaqMnOeLRcahrXPrmL9a7kC9g02XDzqoGwIx6FK8qniXLZtYcD5r17XrR4TtWrEmyOjNq1e0aZH4SofZSf7DnLAiFRq5FP6ca+VPHfovS079+79R0i5Ea2DLMymyqxpEU0WZtBjr/zR3qoguG+AMtHu+73t7acWPvm4WK9lr1aE7KLDxug6a5UD7Nq+Pj27N/MXCOdivHLC7i8a30XmH+zI0+AwbQO0UEWIheGyfbnpk9I3/fLpm//uzL965uXnF7YjzaG6h31876q1VSmRySsnvrts7UaHhUW0mZKj9vDBw4EDL8z4bu67X3yx8av2PU3d3X7ML+789XJFqOzYG9isK9Hm0o6FR1UHVsX9/cbGT5eLK5hkMVyxvyjV3QY6+DRVlwGcbyFVnMetVRFiYbxygmurug4EAHCls9uBqssALnNCD2NGGGkrQBHWMTs7u92PRbSbvIP2NNl/+w8EAeFV//lm8bKVdLtShqogi50p8ypdL1qiNS9XhJhcoerYi7t85MbKt/vIrp063CZPfYRQMGajKf0Cd3nPO6s2b/nWkTTZuEqjSOzGXcJvYYTroetrTVn2wAl11ztauLk1yPyCsEhrilGMYUbXnbL+oiIvLCzcwYcj2oqlujwKt6Z9oQG217c/AAAoNEx4O9clRHAYF1kPaIsp7ZwgcrYDL1eEgF1U2nhwYMdX/vusSqUSUR4pY7xxniGtCQ1yFeF7Z2577tt/5z/9X0eeqYbGF67xi3A9xrSzXDEBeWQHLve9I/j3slexH1l7mm0E7F329MP3N/MXCGdhvH6a82M5p+lUKrf5e1soHG+nKoGDZIzXRQilZ5GAIkyx+1OYs67SRr2Iwkic67t+5dr/+PUH6oCamat2HLuYmZnZ7mey9jcW081LjNnokIgIBzBdO8214XnnCPBzhtaclZ/YGvrFxPt6hc2egUptuxrTdXt1yf2+fa2t+iqiIicuLq59z1R1hhXhaSBSGTXvV4RESLg83Jq1i7FQJqhSKMLFyPLt2c8P+vZmGzWdJxw92n6HT0IbRYRaDd0MRW5+/53hk2aMmDLr48/WoHR6LoVh4BU9vNJ3BHlUAhdp6gvMX8RlHPh65ecrPhDk4Yg2wDDGG3bT5SHfXgAAUHQjeMO9K5e81e6YB0VCV3sQVHU5WZTT8v1OwvsVIeBbR43QohXhSqjywmBgrdtixuTHfKyOuwzA2nfSzqHqbHeyLyisPjzs/YOD3n3raE23gXeWl6PCBS6CLMiy1FidWXCVRtGhS8v3txYMU0Kbhum9Erp27SrMkxFtwZyXTutr2LaBkVV++XDkysEDD76ya+NHM+5pbbHJxmAyQpXck7sU6/0sDUUITSTTjfMt3IlwHvB24aRPl3rcelIbcGP3oEGDmvmjVgFHmw0JpEBIHNAm1I9ZlDn4+WdffduRJyNaD1xORJnck/PmdRxV575c23RDNH8KiWNMs8/f4N6Dsy6funXl1PE9O/r3d9QGrmxgHRUDSShCRYcumC1BM1VRTJUjJ3sRgJcghzS9AADApPfd/vJdvZKSk5MdebIyuRf32k025oVT1n2JpdfU/f+i4EIXYbwBK8JeLdzZVlQde3FBFOb8DLq+TsCHI1oJfEAIL00cB36aOfPKjSuXtm3bdujQofr6egF7aRlJKEJMrlDE24uem9IviiiMRGEYU4b9Y0/f8anuozvi141bOrHzt1+udvDZuEpDxHTkLofU2iI0MJwW5+hdetAW081L3JUSMnY5Du4bCDnZ06aMCy3ejhAexmQwZ1/jLlWd2pAz9rYQoRHwMf+iF16du/XStA//l9R36C/bfxewoxaQhCIE/CUqbMNBuAbyViZ3wIBrfPccOVp8/UzWxRPPPPFYux2vYdSd7OM7uN6mcauLggP8HH844raYc28wJmuEWY0Ff/PzLcKmxlbB8xdZR12OKesqY7FWFCF00bIgAQJjYJRQtHfKsHv0416tmPph4ZN/L3hj2aVLl1r4Q6GQiiKEz2NN6efFctKVLEb4ACmpBxBC+cEok+zjO1h/AQAADNWBPz6x5PVFwnaEaBIDpJwO+PT6qCi+29C7/j0iWPZX+EUJmxYQrgH+zJVJPQR/Ppx01F4dQR1QPu6tD9dsELy7xkhFEcpjO9qddGsqyeI8ceWRGryJJOgBEosiPgWD6vT2+XlO5Nqxq/87L3XyJMH7QjQm57A9BeWRkMGWAfcVP7J9zuMLHUkbBKNI6MZVKiCL8yy1lYI8FtFKnK4IoWf2MqRraFs0cGSXa+kZgnfXGKkoQkxGKKFcXKb082azuaamRkSRJATDmDPtmbeEPUBiweQKBVTn8+enJudePjVn9kzBO0I0hqFIv5pi7vKIT08AAAiMNIYkpaUJUxsLV2kU0bZ6kwxjznCFuQzBwpiNJFcxxjmKUBYQQgdo2TbBUH3rbeeR1YXhOoHNsE0iFUUI+BuRHRvWxPYd0XFEanz3AT/8/IuIUkkBsiCTNlg9/XAff3lYrDN6USbZrStBdSWozJbLMOfekGPWnV++QpujsGYBtfgEV1VVCdUL/P413UTWUdfBOyDURjlYMaY5/LrYgygG6S+zjcCDny6Y64rlrGCxPu4PbIbuGBJY/OwfAACgr1iw8qnqmrrH5z8oklzej+nmZa6tTOwGnFN4U5kA7fgzL7dwJ0JYzNCnfcLHPgp43gUHA2NglEk9a/dZ16zwNwrhbPjnGsKbc6xPTuqhP2YtbXFH+TFQEBByYv2sEX0m3j3BST3CSGhHqIhOxBTWIO4wujrWXAQAAD7B1XM2LP7wE6EOMxCN4U2kROHtKiyK+BR7SaayQks1yinjIkxZV7n2aXUXAABgGOWB1Xf26RISEiJUL4qELpyPFVmUg6IJXYYJMkTD2wlhgXf8fSz5b4Ze3rvhgzUfLXVSdw2QkCIEuEwR35m7GlBvm71KH9o/orS0VBypvB6GMcEHhE6bSJhcIY/txF3CYW0IJ8IwZqj0Uvo/34Rse177ybD7A3K/WbdKwH5wlY88whZNyDAFpw7u3Llz7969AlpfEY1hKJLMs6cIdsYBIYssIITQRlnbGPP63Gm9egnvVdccUlKEfOtZv3p7fChDGhQKhRgSeT9UWQFdZ31VYUq1PTLaCcD+UGZom4JwHvDmDPfx/2bVe7+/fv+NI7s3rVkpeL0zeHy/+nTlfZtOzFj1d6dBYz76bK2wHSE4yLx0hiLZNhEcJgsQbIvfGGWCPYusi+evtBQhnAh4QL1tGVuRF0RYAgMDxZHJ24HtZsr4FMEjCGGUHaD8QUgRugT4OFbZoUtyx46DBw920mxSdrC/KLt27lE74c2qyUtKnj245Mf9v27b7oweEfA8uq4H//zzj/P6gt/PLp6/0lKEyvgULhopyZQfYq7Aru/Xbpqx8dPl4grmxcCeFIoE59YNUHSwe+KQBZlcrhOE84ADYxSQxcUZwN+fnoZ0BUMCAAChqEr9cMknnzu1a8kCn2ts1ifMeH/rgFETqqurndEXnAjTnH3VlWlPpKUIMaVaEWWNRsIYZvyv995T+svJXb8OGexQ9QNEC8ApCuEvujPANb6ELsZ6QdPmHGGC2BAtwDsAdvJCRxYQAmymOQVDdjXa6jkHRZWWVTi1a8lSdc2ea/tM59mVs78413Hu/GeckrBJHhaLa3zZNl1fR5XkO6OXJpGWIgT8ReWa5x765esv4+PjxRPHy6Hr6+xJfHBc6WRFCJB11LVYqsstlSVsG5Mr5DGCBUs0hwqynvXT29ZYpjqVEp3xCw9VVqCyWGuI1uHq68p4AADVb8ah46ccrCHaNBimiIPmb7br5q/0FCHkOGrOuS6iJFLAnJvG2TeKGeXm738yGJxrroSPGcw511q4E+E48J5bHp0kYA3C5lBB1tc+Buv81RxY9Z/Z053dtQSBPVbOqTtZMKu+wP1CXWEddeFCVnqKMA5ShHnpwBnrGoQN2C66ByQ9+eetjn2HnjvnxOoB8IrSnJOGsqs7FXgpCc8s56GAdvx9qi+CK3uCv3tkMHnl5eefcUHvUgO2qZzxsX3yDMPUlgYEBDijRyW8kM123UJWcoqQCA6T+QWxbcZkIItyxJXHuym5cJxrn40abRr7Yv68H1LnPuoUuwoAAAB5WAyuth0z6GuosgIndYQA/D23Iq5TC3cKhTwygcuuHglqX8L3//zmf4l6ttgAACAASURBVPZs/1Eul7ugd6lhzrXv+M+oreOrPPzFxLGjBame1hhFXCd72oTiPJelTZCcIgT8GYuso06EYZjCTO7qHDuRQuPrw7ufPXu22b9yEAzjjW82Gl+nQVvMuVAu5jinHwADADAZIY+2n0S+85/UUaNGuaBfCcKYTWRBtrUNwLXT+4jDX4ZumD7aeGqt0xK+YEo1nDYB1sRORZqKEB0TugKq9JYaWHd+1TLfmwpr2ghTQExxcXHzf+co8PgWnz/6xZfrV635/MyZM87rUZqQhTmM2VouR+YfJAt2RZUAAIASLWRdAnkrA9AW60Wg7uOJ8WuHqQ5sfH/nT98InioBhreQzb3Rwp0CIqGk2xx8RYg87J0F/NmeV3dkbBF+qtLr8fGznNcvPL7pJ448TU5hcCJ469I+YYrftm526hyWFPwDQldsB219oYWsK4Dnr09itzn33++afhWxnfRH/2TbJNoROg95bEd72HVxLgq7dhJmKEXheU1HtoGnH46wlHXt6sSAM0VsR66d7EfIhj5ID3mo7KEfDvoOWvjSG87rV2rwFaErDghtfcH+bhnI381JwGZJl44vNH9dtiOUoiLEVRp7STyadpkZWmrAK8r0S8fl+9eEfvtg7+PL/vr5W6f2i/sGECHWknhyhuLCrk3DFvy+e49Tu5YU8Pi6xmWURRas4/m7Fee6rGtJwRvfWNcpQnl4LFcmyFJTYakqc0GnUlSEoMGi0lWLDknBWCiywO4ps/D+8RvGBe9e8cLpg7sjIyOd3bscWlT2rLc5dGAYo/A1Go3O7l0KMCYDWWJLlYBhLgilh4HH1wwVT0cIBV1XTZUXsW1MRsijElzXNy5TRCdyVzU3Lp46dSo9Pd1isbTwRw4ixTNCAIA8Nhmc2M22Yc83hFCQBZkMaWbbsiDdqMmpruxdEdPRcO4Q2+5psI0vw2CmWnRGKAjmWzc5myShi8ZVGlf2rohJNl45wbbJ3DQw4C5X9i4F4O0BHLLiGuSxnbjUfavfW/yZuTNuqFaWZaxbsXTCuLHO6FGiilABLWDJfKQIhQeeSLDR3zXARxqcIlQeWT9pHHpjCgMJ7cOMAWEURRGE614msKUOLWSdAXzAr4hz+fyFj/m7DyzrsAQAAGpL5i6a9bc2tEuXLs3+ZXuRqGlUHtHBXs28opjW14grj/cBvygVrrWbAQAU0UmcP1SiKc/32FchXz8wrOrQquXvuVgSbwVWP58euBqZ0uf/ln3MuCqPjyIWWsgWZDIWyjX9SgcyP4Nru9juDfgLnZ6Gmxj7vfLTlU9Z/tbyz5zRo0QVISZXEBFx1guGMUOjjhAEc56YEwlTqrkyFDgAazoV/LVi0Z7tP6rVahdL4q3UZFzi2keGvl36wrHlB3JeW+ysOOsG4L6BXNgiQ5FUYbZr+pUO8MmrItrV85cICWdUPmzbj9YnmG35oeL6XL3ulIAZiSpCwB9dEp23CwpDmikudx2GuX5HCABQxCRx7XsG9ujfv7/rZfBWaGO9rLqUbVsw/KqqAyAUddOWbdr6E0mSrpFBEW0fX+QvIyx0XRXnq4nJFUR4bMv3Cw+G4Vx+GQC6G2yran2Fn6+vMzqUsCKE3s5oIgkLbK0igsNxjZ/rZUDj6zzIvHTM1s5QxuhxNQAA4AQWlnzr1i3XyCBH4+s04M8TPkVyJb6J9lDjbiar/7nm6MY59051RncSdZYBrOOojfKrZ6dMuKeyoqJ/n57vvbYoJiamhT9E3BYz74AhqYU7nQd6UToPeHwvqeye7kx9lY+Pj2tk4Fl00NGGoJD5N7m2HIpkcCVcBXUAQLfqK8B8MeD0lq5k5nNP/uqMlP3S3RHCKx0NWX/9zsXX5m37Rjmm712p+/YfEFU0j4eEDghFsYsCdiLZ/GWoknyUP0hA4KOEi2rbQqc0M1hm1mq1rpEBNn2TBVnIX0ZAzKJ6urHAC+hexrSpGZ+vnTf0392/KxROCeSQriLECDkREc9ddlPWA6Uv02186WO/PfTMIpf5v3kl5C1oRRklzooSU6oJXbT1gmHg6H6Eg5ih8b1s0oC6Mtnpn8O+mvXduk9dJgPuGygLtCpdhiIpVE9NOHguo9HiWHSIkAjc5i/jg4NfPnvv/lkzMAxr+a/ajXQVIeAvdjgzNPAPMwbFZ2ai92Y7YSwUWZjNXSpEmkiAb10xQ9YehCMwZiNVaj0IZAAIOr2x9/aHngq8dvnI3j69e7tSEnhTiBy/hYLW11AV1uIwmIyQQ7sFl4Jh8mh7OhtnW7+le0YI+JuVrga75mOUvnq9XgyJvAGqMIehrK6DskAt7uuUStatQR6dBM4eYNskUoQCQd7K5HLKyHXRuz/ZIJYk8qhEw6VjbNuQcyNNrsVxvHPnzih5kCPASwoiIh4jRKt4LI9ONtmidMj8m+qeQ53Xl6QVIZzRrosxy9piaJB/MSlJtH2Mp2O+BR0QinTS3rh3tGMQCtguKu74wgvZ4zu3PVx4AQAGzz795qKFTz02X0TBPBpxU2HA8C06aEfoNOSRHQCGAYYBACSYbmloYz2N+/zx1n2pEzUal+ZO9CbIW/a9tVgHDNbeoYlEFeUwFkoUR3Avgze+Ih0As8BqOCnEv3zYWhpgwFz/+pbH/H195t4/W0TZPBd4oYOFx7Vwp7OB/WWcbRqV9BkhplARWmvZdBwwQ7Y9qPt40EtDI1YuXSyuYB4Nz/da1Bcl7uNvzz9ioZA/hSC4z/jKgnS4jz/b9qWNceZCAABQaKpnfPbuR6tEFMyjgRc6M1//qOsdIw7/+68oksh1MZhCybYttZWW6nLn9SVpRQj4u+8vF0wuTDv/1iuLcFzqH0v7YRiyIIu7Etd0BhpYV24hByiHoS1kUTZ35dLqPE0BC9CNO+b3Ca41msQRyMNhzEayJJ9t0wA7Ou/Pq6nrpz352v4DB0WQBsflkfb8MrAvuvBdOe/RHgE8kQJMNUgFOghVUUQbrX5GuMZXFqQTVx55JOR4hhShw5DFefbqWgEhXIFcsYB9klPsx/wMTjuxdp0XQxZmcwEKOYoIPa4GofHlczY/+5o4RjLY5ACvsAVH6u99+BALORY6jvscIDWWwakrSonAizBzh/GFFjqcv5vswm8jhg4WSSLPBp6/V9S23VhIbElltSjyKFy1kJW67wC8IyQLswBtAbhMRHk8HfjLmlVHlV27lpKSIqI88ijItFKQCRgGOC0mVwrA46twB0UIzd8u+hug4JrPpe1RmbtW/b1DRKk8FzjvxDWVfe4AkXbYsGnU7MycGFLfEcr8gmT+wWybIc2cfRzRPuCJ9Nl1y/CHXh4zdWZ1tTjLScCm/Lblp6Dr6yyVpWJJ4h2YIfOU6AeEAABCF80FukXQ1fde/XDZXZFXThwKCQkRVzAPxXzLPr52RZh9plOSOIseq2M/AAAAqvQWZ5YXHKkrQuBCM7QUqMu8xrXP932i7JFfD0bdM33eo6IJhGEuW1RKAXiCwB+sWGAygoBc/L/9vxeeeuwRgpC6oaud8DMRXlXEAtqCX/4r/OcF61e+L4pEmFJNhERYL2gaTlklLEgR8uYzUoSOQBv1uL6KbVMYcUMZCwCg+ky/lFNSVlYmllRofIXCUlNJ11nHF1MoidBIceVhUUQhfyhhoMqLuNz0BoDLv5wRv2bEbP3f5w7u6tixo1hS8eevs8YXLZ2APDKea6PUzI5AFthdzm4qo0jM+u2iwztlZ2eHhoaKIpVrJpIUgD89eXgccA8Xa9hfxowWOg4Aj29gUresT5aLKAyHPCrBcPEI23beQhYpQr6HfUG2eIJ4PDy7itKufvCqWzqdaHEU8FFWzc2rK99dWl5dO2pQ33umTZPJkGNUG3A3l2AWtNARCncoGtMY10RAucWaTlwIXTSXectSVUrra8SVx3OB12vX1baTm7yLWlAXGxsrjkwAyCPiufN2WU35yqIOX4A7H95ysuuA4YWFhWJJ5YmQhdABoVhFCRoBK0KqKFcs/0YvgL/QEd8TioXn2F+QBZxTIA8pQoDJCCLMXpKeLESJuNoJ/NGl5ReAtIPqXUvi/rdg2zfrRZQKU6i40ywcAx1TeoCU0XVTltwY9c7s+U+JKJjHAbsqwOt0ccF9/GUBVh9RhiLJklviyuO58MbXbRY6RJDO7vhtcJbjN1KEADSwrhSiY4Z2wTAU9NHdpa192Ljri6lJN84cSU4WM4c94I9vZ6NVWzOdRlzPK0L1tloJY6GoolzuEj5ZFx1kHXUcxmTgyhACXCYXNd02D77jN1nolPEV7IywqqoqKyurY8eOPj4+jX9bW1tLURTblslk/v7+QvUrCPII+IPOFk0OT4aqKKaN9Wwb1/i+/PY7oorDQx7ZwXDBmji4szGb+zkWEF5eXt7kNxbRAKo4j7HYpnCQDtf4iSsPjDwi3njtNNtG87d9kIXZnNVRrovC5ApRxeEhj+xgyrzMtsmCbHliL8G7EGZHuHHjxoSEhCeffDI+Pv6vv/5qfENqampMTExiYmJiYuKYMWME6VRA0IrScfh2FfEjzGBgOw+3IwQAMGU5YWFhIgjkgbjnASEL8ndzHHj+Eu42vpA8Vw7tmfHwE/c9+vQPP/3MCHdeKIAirK6ufu6553bt2nXs2LHPP//8iSeesFiaOK/+6quvKioqKioqTp486XinwsLfeuc46TzWu3HrFyWsCE3ZbEN5eN2YYXcolUpRRPI4YAXjDqH0MPD4Uuhoo13wFrLh8WKJ0SSwHd5YWfVH8lO/RM57fMvRASPH19fXC9KFAIrwjz/+SEpKGjBgAADgnnvuqaurO3HiROPbzGbzrVtueo4tCwjhCpsxJgNVjpwJ24y75RyBIUIjucJmIVR19P4PtOsmjyfPbPjsI3EF8yDgF2V6pb6iokI0URpBhMVwKYKpyhIuKhzRemBPN3dbyBKQ43e83KSI7gI69K9JXX4xdtKbS5YJ0oUAijA3NzchwWqawHE8Pj4+J6cJx8uFCxf269cvNDR08+bNLTyNYZi9EHl5eY5L2BrgsUfHDO3AnXcMAMPgw/8Nd/oe/X719q2b1Wq1iEJ5FnAZwmd+v9556PgXXn+bpmnxJLKDEXK5zlphGzAMmr/tgO8SHC+WGE2Cq3xkgVq2TTBUktGaEdo8+KH/7dglSBcCOMvo9XrYvqRWq+vq6hrc89VXX8XExAAAdu/enZqa2rdv3x49ejT5NJqmly5dyl2OHj164cKFLXQtlJmYCYkEGRfZdl32DSq+uyCP9WJIkqRp2mw2AwAY0kyV2rb7GGbyCzXV1oopXGO00SD3BtvsGxeuDAurdTcJ20jjWeY8GJOBc1ungOzs2OXmsbJ1219VLF762qJnXSZGS2ijgc2ptTbruiIk2qm9ufLDdwF0XRWXPA/IFQaFL3Cz2WEJCgeVJWy7kznnKlsiilCaSPK2E1mlUsnl8pbvEUARhoWFnTlzhrssLy8PDw9vcA+rBQEA48aNGzRo0KFDh5pThDKZbN++fa3sGsMwX1/ftovcBHhcR/MJ6+JCVlno5+dGTnHuCasI2TUQeetmjS2QmQgO8wvRiipaE2AxSeYz1u+VrKLIO8bXZf+FuTy/xrbizFJGmjE5AEA/5b2vVwx+f/EbrpGhZZjoJPLSUbYtq3TF+HrHV4jFVHiTUyaK8Hg/N/PqBwDQHTrXZlo3Kp2MuSAAAABA5S1daIggAyGAabRv374nT55koyPKyspu3rzZu3fv5m6mabqwsDAgIMDxfoUFzmGPYurbCvyJEW520s7CG98iNL5tg5czSGX7JGVyi8pPKG8FB+EfbaDxbRs8Tzc3s4uywOPbiXX8NumDfln47svPCfJ8AXaEgwcPTkpKeuyxx+bNm/fxxx+npqZGR0cDAJYvX37t2rXNmzeXlpYuXbp0xIgRBEF8++23er1+8uTJjvcrLPII+4uSKsm/cf1acWlZSkqKWKmiPQtYtcjDRcum1gK8F2VRDqrQ2ybg8WWLirAwhlqVSiWGRA3hpc5HjqNthLeQdTNPGRb4/dyl4lzoqaeJ7JOLX35+yqSJgjxfmDjCHTt2+Pv7f/DBBz179ty0aRP7w5SUlIEDBwIANBqNRqPZtGnTunXrEhISTp06FRgYKEi/AoKrfWWBVp3HWKgHn3s7dfmvXUal3jvvUU8/THIB7uxyxiILCME1Vis6YzJQtvMGRGvgJc9TxbMN/Mru/r264+5Rg4IIieAcg+m6akttpbjyeBawJ5Qb5ZSBIMJiOcfgSAX155sPZJ47+thD8wR7viBP0el0n3zySYMfcts+Hx+fJUuWCNKRU5FHxFuqrGXzQu9acCxgGADgtxPfpc55+J/ffxZVNHeH4u0I3XEiAQDk4XGmzCtsmyrMJoJRKH1rgV0K04rLQcVpn2t/RWXt3bxru2gyNQDD5GGx5rx09ooqypH5BYkrkcfAMO6/kMUIOaGNoopzAQCAYbpFBAvr8u0Wqzk3AX6Dc/lHqIFzLhXWNhkQgmBhzEaqosh6geNwBnO3gmhgHUW0DtilkMZlQ6oP3Htry6opyVdOHhKxulZj0DF/+6AqirnISziDubsBv5/htLeCgOoR2oFflJ1M9olkju6dlpYWF+emGx3RIYtyuVw8REiEW2UphJEjf5l2AW8HlZEdtiz6VDRRWqThMTCidVBubxdlkUfEGS4cZtuCjy/aEdqBz2M7QRkp5fpSNzzUdB94njIRbjyReDuGbNHk8DRIuOiEW9rNWPjjm1NVVVVa6pSSPV4Gb3zdWRFCslmKBd4RIkVoRx4WxwXnx5qLVIwZAABqS5R5Z/v06SOeXO6ORxwQggYZKYvzgHtkRXF/SE8ZX0i2ivQrnUdP7z5xbkyXvt/98JOIUrk/sCIk3NLlm4XgmUYF3hEi06gdTKGUh0ZQZYUAABwwSQXHrxUUhBxc+fXajwkCfVDN4s5562Fw3wDcN5A97mJIM1VeSGijbvtXCF4ZQjd+UcqCtLhKw9YC8yUA9ujWIiIY1Fc+/dkTZjP50Lw5YgvopnjKQpbQRmIygq0FZqkupw11uFqYbCoA7QgbAH8PpqavfTE85/Lh3aNHjRRRJPeHn7fefScS4Ftu0TFSK4E/KHde6AAMI8LsejrZlAsAAJqgqvu+fHvZCtGkcnMYhiy253N+fOmqb7b+IGB5IwHBZAShs2fOE9ZfBilCHvDu+8X7Jr+/+A2t1u2yhbkVtLHeUl3Otht8U90QlH+krVhqK2l9DdvGFCoiyI3cRBsDb1g7Gm0vSrW/idC4SQYcd4OqKGbMRrZdiWu+jn706R/O9LtzrHt+XM7zd0OKkIccWlEK7qHrlVCwy6g2EpO5tQ2Z54Et9Hm7V8Kzm4XFunk6Hv6O0L7RYcyG26Zdlibw+N5QJ4C4PjVTll7uMFWo8kbCAh9hkmhH6DyIcHsMHDKdtQayGM4y6tZ2UcAWrrNBIkXYCvjJt9x9fOGFTrLRpggLrsaGa5EibBLjrUyuzSXPMw96cNsfu0WSqCXgHb+wC1m3Xr+7Huual2EAAFR5IUOa3TYqzk2goAMGeD/tnvB3hHmApoF7ZAhzW+DlgvuPL7xjSDblAnO97Oqe0D3vff2/70SUyp0xQmVE05W2cw1CaSYpUeRpGZ7jaGmBgE9GbwEemEJlz7xF01RJvqjieADwvvnglYzz58+LKMxtwX38cV9rSChDmqmKYnHlcX88xWWUhQjSYUpr5q0gS+3A76Y8LDtx6d89Xbt2FVcwtwUvL+TaN1S28S3PDdO5Y7EBuTZK5h/MtmUhQqZIRDvChhBhsVS5NWEYWZwrj0oQVx43B35RvnpVU7zt/3qE4L9t3SxUnUjBkYfHmjKsCcOo4hwiNEJcedwcnsuo25u+AYbJdTHmPGsF5oNffaZM7imuRG4Nw8A7/huKWAAAMNUF/bLw/94VpryRwOCykEffqdq5Rab2CZwyX8gHC/gs74BnhkbHhC3CmI2kbVNFAVn6oGfKHvrhcNjEB598XlzBWkDutPN276Ohy6gnpCnn+VOgY+AWoSpLOJfRapKhd7yj/emJiNWjVyycc/eE8eLK1hyKmI7+D74RMOdFmaAOzGhH2BB+BVc0kVqCKsnnnAhzFWFs4XJy4JzDH682mUxs8Xp3A41v6+HZRcNi3NxllAUtZFsP/PmEJHX5Y+4shULRtWtX95y5TgUpwobI0Yqy1dDQGWq6yv65YcHRpaWlbH1md0MOOY6iCIqWgUOt3baoSAPQjr/1wJ+PMqrDHXfcIaIw4oJMow2Bg6Wo0gI2ow+iSagS+4uSV7i8qjAkxE2LuRBh0I6wOM9sMqHUzM1BeZTLKAtvfJEibBFPSa7mApAibAimVMsCbB5TtIUqvSWqOG6NBVKEGUrrjkF2aWevzonCls0UEJl/EK7xY9uMyTBgyKjuE+dGduq1YtVa98wsJSKwRYTwFEUYEs6FPNF1VdwZJ6IxJDR/3TwnlLNBptEmkIfHWqqsuwSqOFfia6UWgM+QMm5cAkRV4M1/4usztm7/UUSpbgsRFmvOspaqD5rz8QW/voA0vPPbqwXFiz967x0xJXMzPCt2wgqGEboY8tZN9oosylEmdhdXIreFKoKCgKX9lkM7wibg5R+BvisIGIY0WyptcXgY9mAn8Hp4+k+Lpp89tMdt7aIs8Ds92ZwHAAByde30FVt+/k2v14smlptBG/WWmgq2jckIWUi4uPK0Hr6/DLKONo2lupw2Wr/tmFLttoXpXQPaETYBL+Mo8qdoBkvpLa6kHxEc9vwL/xVXntbTdGpmDAdxfdPS0lDtSRZ4u+D+WWRhYCsubP1DwPBzQnmGS7DzQDvCJuBnpEQTqWlgTxlPcSlkIXR2aRNN9jNgjDRI0HG8OTzxgJBFHgYV60Hztxk8d3ydAVKETcDbEZbkAeRD0RQWyI3IU1wKWeRN1iioryQKr6akpIgjk/vBdxn1qIUOvCNEirAZPHd8nQFShE2A+wbgPv5sG2WkbA7+itKTJpIsSIspVGw70FIbSlaAm8dD1k1d8+H/4SgHtw1+EKEnLXQIbRTAZWzbUlXKmAziyuOeeO74OgM07ZuGH3aNFpVNYIGi6T1sRYlhhC6Kuxr6w/RJ2Zv+/XVz6uRJIgrlbsA7hjqFn4iStBVMRhCcaw/DkCh1flPwdoSe4hLsNJAibBq+dQX5yzSCYSxl9jIo8KmbRwBbR799/7Ud32/u3LmziPK4G7AhhGbAwMfeiO8+YMfOP8WVqvXwFrLIX6YRtKHOUlPJtnnrBqmCFGHToERcLUOVFzGkmW3DlmRPAdbcaKHTGApyCS5Q6LLn78h5eNuDb37y1y53rNfaGHghS6EIqEbAVi7YkixZkCJsGnTe3jLwKtuzPGVY5OHI9N0S8OIgnU2e56eruH/9onfeF02mtsBz/EY7wkYgl9EGIEXYNPxQQjSRGuKJ6Zhh0EKnZeAsnRlc4fLAyIqaOnEEaiPIotMyvCDCcM+bv4KDFGHTwI6FdH2tpbZSXHncDd5JuwdmKSRCI5FjYQtYeHVFoBclbRFBmrYDL85Q6vzGIJfRBiBF2AwYBmehXfr666On3f/8q2/l5aHdAwAAkMX2F6UnTiSMkCPHwhYgeenUrRMBu7Z3QJ9eIknUNnCVD5czjLFQlvIiceVxN3g7Qk/zdHMGSBE2C7zRSSMS9vV/89Oa7n3H3/vDz7+KKJWb4OlnhAA5FrYAw8BFVzIs/qC+UnF0c/SuNz7/aImIcrUJvj8UGl87jIWyx0bzV/ySBSnCZoGtK4lBvkCXxPROLX1y17NvvFdTI+naLnB1G0yhlAVpxZWnfRAoVLQZqIpixmxi2wZARP3ySI+f5zwXXXz1xMHIyEhxZWs96JiwOaiSfM7ETQTpMAVKK4iSbjcPbDFIMtlMZ0pfQ9eJBw4cmDJlijhiuQG8AwZdtIem60X+Ms1BQYbiwIROlz75WERh2g3KGNwc8Pii7SAL2hE2CzyRksz2iWRQh1ZVVYkhkbsATyTPPWCAJUc7QhjKK+q18jMGozNgO6THpst3HkgRNguhjWJse50oc4mKscaPBxSd69Spk3hyiQ/l4bETLARcowCKH0fwd/weO746Xg2KyspK5OnGQhV7w0JHWJAibBZMrpAF6tg2DpgOpgIAAHZ5V5Qxb8CAAaKKJjKkV5hWcLWvzC+IbfPcByQP3xPKUxWhLCAEV2nYNm3UD50ws//sheHJPVasWstIu54MVewNFh1hQWeELaGIiDXairD3PPpB+Y287lGBW7f9gHnmqZhQ8F6UnjyRiLBoLkKUKskjQiPElcdNoHixMR47vhhGaKPMeenslf99y6/6dAOk4Z1tL1XXfrj4tZfElU40GIYq9YrxFRS0I2wJ+C3/6vAO537/au9vP+l0OhFFEh3GQlEVJdYLDCO0US3e7tYgD/vG0IY6bnGAyQgiOExceRyBaOzvJlfXTl/xxeZvKUqiIfaW6nLaWM+2SUz26ebvrl69Kq5I7gBShC0B2/2iNYQH+Y47D6r0Fud7jQeGerTvNe8YCflTAAAabAd10R6djhke3wSzLTJSJsciOuXmSjSgAv6eX6ZDFl30ufOBhU++8KqIIrkDSBG2BAGV6UKpe1moEnuoNaH11ANCFlR1sjHe4TLKAo9vktGuABhjrUajEUMi8YHfYzeDujGD5pY9+dfWc0Xf//SziFKJDlKELcHzsC+5BaR9xs4CvyhlnmwXBfwXPcqyxuIdnlAsTUdAVeT5UzXh4RKtwFeXm8G1b9qS51WPfW31pq0iSeQWIEXYErhvAK6x1uZmzEZLdZm48rgD8IvS4xVhcDgmV7Btuq6Krq8VVx53wJuyUBKhkQC3vuKizCUqYxV26U/txulfr1khrmAiYirI5toZStv4BscUFRWKIo+bgBThbSB09nc9OkYCDUt6evaOAWAYEWo/90XjC7wr2hqTK4ggewTUyF9n/oc8LjB9dgAAIABJREFUcH7/zsGD7hBXMBEhauyr+Qyl7eVWnB4T65EZg4UCKcLbIEeOhXxg3+vhc58ckzr7xo0bIsrjICgRFwxjoSxl9p2Bp5tGAd9x9NeV725eu1LKLm+M2cjUVrBtCshyFBEAAEBTQX++9fKT88WUTGyQIrwNyLEQxlJbSddbS7PqcfX5J47803XhkKn3nzh5UlzB2o2cN75SV4SW8iKudB8ckO658I6BJb/QgR0dCkyA/nezes+H2k/ufPHekRPGjxNXNnFBAfW3geD5y0hdEcKfQKYiksEw0KF/2bytjz6/4OKRfSIK1m54NSjQ+MKh1h5+QMgiR+MLAdu9wxKT1/jLg4OSh3+2IyzMg6NFBQEpwtsAZ6REjoU8RcgdMGg7FFXU0DSN455nYECOozAkL/mWx9tFQUOLDtoR2sc3NLnr41MfFVEYt8Lz3lwuhgiN5GKKLVWljNkorjziAk+km0rIZRTDPDR/o1wXw5WRspQVcrkCpIn3FejhJQ8qyZd4BJT3ja9QIEV4GzAZQYTYQo4YBg4nlyDwnsnue11VGOyrlsk8MgUJplTL/IPZNmOhLh7et2vXrpycHHGlEgvve1HK/INwtS/bZkwGS02FuPKIizcFiQoLUoS3B06nSZZK2noGx05YTaMlGSFf37/mg8WiyeQw8Pi+8+nm2V8e7n/v42NSZ5WXl4solSiQXpRWhgMeX0kfEzIMVWpfx3tuXRFngM4Ib488LMZ41eoVKeVEXHCtIgaAus/nhAE8MjToi40rPLouFaGLNmVcZNuhA6dVh6QCAA5c/OPuGQ+c2PeXqKK5FLq+jq6rZttwBJ6nQ+iizLlpbJsqyVcm9xRXHrGwVJczJgPbxtW+uG+guPK4FUgR3h4UQcFClRZwR2hEkC79/A6KotRqtbhSOQ48vokm65LZ0mNS1uktaWlp0inCzLOLQjlZPJ2Gx4RShTe+YV6y3RcKL/muOxXkWMgCTyTWpdAT3UQbA+dMSDTZ/0djZHePzhXQVrwp3TaMPAwtZAFocEDo6TmhhMYbXmTOpuGOUKqOZ5QXJd+CgbPoJZrthyiKupKQkBAxJBIHkrfQ8aLxhV76lITP+Hn1tL1o/goCUoS3R+YHOZ6ZjZJ1PPNWlzMiOJyxRchoyUo/Wg8AANVFypwT/fv3F1My1+J9LqMshDaKi5ChKooZ0iyuPGLhreMrCEgRtgrkeAa8qy4BDxyXQ+PbIe8QcWRz2PopW9d9JpfLRZTLxXjrGRImV8iCtNYLmqbKi0QVRzS80iVYKJAibBUEOmZomH/LqyYSnEVlRsH3b6fUXj36z53Dh4kokqthGKocSrft4QW2GiCXfKJEhjRbKkutFxhGhESIKo7bgRRhq0D+MnRdFZduG1OoZAFedXgGj+/C6ePfeOmF4OBgEeVxPVRFEWczrDAzMX1HTL7vwfx8L/mqo0RrVKk93TZchhPBghRhq5Brpb4jhDP3E7po7tDFO+AtdEqlmDwI/lZnBHYr+O+xnVH39R8z2TuS7KAIKC825wgCUoStgjeRJOl4xstJ4XUTSY5elI2yyDKdRxXfvXTR20vFE0ow5JK36Hirp5tQIEXYKpDjmXe7nKEImbq8m1w7Q2n9NJiUUSdPnxVJIiFBzm6Ng4ARMEgRtopGjmeFLd7uhXi3IsR9/HEff7bNkGZLVWnL93sfNFSYPguqK+KhRUUaIAvUYgoV26bra7lMctIBrhYAB84iWJAibC3wMWH+xTP79u3LzMwUUR4XQ3pr7IQN3qZBeseEWKU9qOCmbUeIXT8woF8fkSQSFAwjtJHclQRPN/gLWS+cvw6CFGFrgXOprPty8/RP/xr0wH/73TkuKytLRKlcA2OhLLZ02w3eKV4D7xhJYqnV4fpEFCbLlesAANiNg2E7X/lo8WuiiiYYcglnHKXrqmiDzeUbqjuG4EBJt1sLvGPQdb+zKupZAEBJ1qlRU2amnTmiUHizO7KlopixUGxb5h+MKT0+0XZj+P5Q0toRwr71RQZLyIqhMhzr1a3L53//FhsbK65sQgHbA6VWVZSfZTTKy1y+BQEpwtYCK8IEW40C0KF/ecKoXbt2TZkyRRyxXAI/HbN32lWk7GEPvyiT+91R9MU74sniLKSccRR5ytwWZBptLbBpJQmqUVAb0ev81TQxJHIdZLH3TyR+zgRpmUa92xOKRcoLHSmMr4MgRdhaZEFaiy01c6ClNoiqYdvyupLwkCDx5HIFsKnQW13OCG0UV4HPUlnKmE3iyuNKpPCi5Ju+7ZU1pYAUxtdBkCJsNRiGB4dzVwnmAgAAoEyB576fePcE0aRyCVKYSJiMIILCrBcMQ5UViCqOS5FCtDWu0sj8rQtWxkItX7z4waf+u2HTZqPRKK5gLoBEptHbgRRhG9BEJ3DthNIz2IWdoWvGvf3cY1FR3rlJ4uDlZ/Lekp6SzR/E2/F7V7ptGPiru6s88Gvfyc/sKujYd8iVK1dElMrp0BYLVHDDi8fXEZAibAPwYmp0we/P+Jw5tu3rpx59WESRXABtrLfUVLJtTEYQwTpx5XEe0kytbqkuZ0wGto2rfGR+Xmvnh8c3MSYWJA81jn0p776vp819VESpnA1VXmR3+Q4I8UqXb8dBirANwCvKe4f0/vSD/0tKShJRHtfAs4tqI4HtoNT7kGbGUSnYvVn4jt8203d4p2qfyPT0dHFkcj7w+J7MLurUb9jbS5ebTBI6Am8NSBG2AX5VQqk4FkrELgoamEaLJaMIJeAJxSKH5q89AgoAi39ESUmJGBK5AriayrXEyTfm7/zwCt53+F1IF8IgRdgGeC/KskJA0yIK4zL4WQolowglsyMkJZN8C/7vEk32hays6HqHDh3EkMgVmArthbQyFVFArjaMfDYzbuwXGzeLKJW7IYwiPHny5IwZM+66665Vq1Y1maW3rKzs6aefHj169DPPPFNRUSFIp64HPkFhKJKqLG75fu9AOqYzOGkObdTTdVXiyuMaYNuGd7sUEiHhnGE/zFLpQxsAALILv6eE+0VGemHWQJbqrOtcm8sia+g1ffvuA+II5JYIoAgLCwvHjh07cuTI119/fe3atatXr258z6xZs2pqapYsWVJVVTVr1izHOxULCdZz4ftee7PpDGAYPL4S8ZehGuTf8mJwGRFijYDCGKbzoeWhG+8dlv39tm83iiuXUyFqyrg2pwiBTGE2S66WXAsIkGJt48aNI0aMePLJJwEAH3zwwaJFi5555hn4hkuXLh0/frysrEytVvfo0UOr1V65cqVr166Od+16iLAYU+Zltk2V5IOU/uLK43QYBj5DKqVkXv2mBHJdNJmfwbapknxlQjdx5XE2jIWiKmzHY/x1gFdC6GK47/Pywb6Rbyzr3LmzuCI5FdpYLzPq2TaJEbcU1lpyRNq+kYO9/d3VFgTYEZ47d27QoEFse9CgQRkZGTU1NfANZ8+e7dmzp1qtBgBoNJqePXueO3fO8X5Fgb8j9P7UvZbqcsZsjTiuobC+816K7dp3+44/xJXKeUjtmJAqs+dYkQVqMYVSXHmcDewv0y8h2ru1IOB7umXLwyggAwBgafvDj3/+wtMLxJPL7RBgR1hcXBwUZD05Cw4OZn/i7+/P3VBSUsLdwN5TVFQEmsFisfTpYy+BNnHixJdffrm5m/V6vSOStwNLQCjXNhbm1NXVuVgAF0Pl2N3KM/w7Fs//CNSVPfzWXMDQdw4bRtM0SZIiiic4lD80vgXZMjceX71ejzlcRoDMtRemx4LDvf77bPHnzV+8vf+vIB++CzDnZnDtgvxM7a5RGGno0Slx9bbv5XK5hw630WgkCIIgWqu8VCrVbW8WQBH6+voaDNaA3Pr6egAArAXZG+A8Rnq9vsENMDiOr1+/nruMiory9fVtuff2id0+qJgk7rvDVBS6uHfXU1dbzrWtBwy+oZX3rX97+aOnJ0ygaVqp9Ko9hDkmsd7WZiqK3Hl8GYZxXLzamlKurYqMd+f/VxBM0fbxBRXF7f5/BfnwXUANdEA46b65qaNmaTQaj1DhLUDYEPKZjj8iLi6Oq9WemZmpVqtDQ0PhG2JjY+Fi7llZWS0UOcMwrG/fvo5L5SRkIeGYjGAzNbApObw7U4O5OJdrZylsnnXB0aUV3ulRKddFAwxji/NZyosYC4XJvLlUGS82xtsPCEHjGiMM493F+fixT1E+Pj4iCuPOCHBGOHv27F9++aWsrAwAsG7dupkzZ8pkMgDADz/8cPr0aQDAmDFj9Hr97t27AQC7du0yGAyjRo1yvF9RwGSELBhKzVzq5amZaSj3tN3ljGEwxjtjKOH63YyFslR4eYQML1uCV8dOsMj8g3C1dSfHmAyW2kpx5XE2KN12KxFgtTtixIhp06Z16dJFp9MxDLNr1y7256tWrZo2bVq/fv2USuW6devmzJkTFxeXm5u7YcMGj67nTuiiOcczsjRfHp0orjxOBXYYuamw7hjwizuHD75DJImcDqGLtlRbDcIH/vfDmTo8JTlx/PjxHv2lbQ4p1J1oAKGNNOfeYNtUST637vFC+EVUvDtbgoMIoAgxDFu9evVbb71VWVmZnJyM24q6HTx4kGtPmzZt7Nixubm5cXFxGo3G8U5FRK6LNl45wba927GQoUiq0upbTwOQTSqBuVh1/n/h57759J+d4srmPAhtlCn9AtvefiJjjWyw3+GjQa/93/+2rOsLuXF5AXR9HV1XzbYxuYII1Iorj2sgtNGwIlQm9RBXHudhqS6zp1PX+OI+zXpmIAQ7/9DpdDodry5Bg8NMHx+flJQUoboTEelEUFBlBVwauTpM2XnbfLlcPnHMiJfXHVKr1V7mL8oBW5Bi4juByNm1ANSWPzL1gZkZZ4+qVCoRZRMWXih9aCRXl9i7kU6EjHSSIzqONzsCOAnYwuDtE8n+3+k6dTu/comIwrgMXrEek+0TCImrSxp14MCB8ePHiyOWE5DaASELnFgcTkjtfUgni6zjSGINKCzSKd8qnSyjMDxFaLa/KGsCE/LyvWq4peYyyiKdYlvw20kumfFtH0gRthmZfxCusnoh08Z6S42n5hC/LRJVhMHhNLC61GvJSj/amrTBvzorOsqr3ibSdCkktFFcyARctNb74M9fr/rqCg5ShO1BIseE0nxRAhzHgsO5qw5sBdfyXN8b/4wcOVI0qZwAXHdCOqYzTKGScfmhaIulrFBUcZwIhUyjrQYpwvbAP2/32gq9/JKtklGEAGii7NXpEq9v8925OGbLrG3ffOlNnjKNfOsltGPgh9V7p3UUdvkGGEaEem2dKUFAirA9wG8NykvP22l9Da23Jk/H5ApZQGjL93sT8Pg+FJi/ZV7f9LNH+vfrJ6JIgmOpLGVIayEeTOPHKD07qKlNwNXEvPWYkCq9xbl8E0E6TO6FUbACghRhe5DCipJvN4v27kxUDYDHd0jH2GnTpnlZSlXAJhizca6wOrLHoGETpqWnp7fwJ16DFBy/JWvOaR9IEbYHKTieSTDnCAehlcJCx/5/pcWPK3n+yL99Xxo+eWa+d3nGNok0FrLSnb/tACnC9iAFxzPYCUhCnjIAgAYLndJbbA5uL8NUZE+nnqmMBACA+H7Fd735zrKVosnkKqQQAYUUYZtAirA9SMHxjBdtrZXWRMJ9A3CNH9tmzEZLdVnL93sitVClukyFdXyZziOPnjwjkkSuAz4zo+uq6fpaceVxBnCuAOkEibYbpAjbidfnpyCLJb2i5PlDeWOEjKzaXomQS6cOSKNCIRdHIFfC96L0yvGFd4TyMBQ7cRuQImwnsPXsxvFDmzZt+vvvv7kCxR4PTVvK7dtcQis532vvPiZkSDNWZ61AZMHwHKU1blJx7tfJ40aLJ5fr4PvLeFsElJRdvtsHUoTtBH5RHvz31KP79TPX7EnuO3Tvvv0iSiUUVEURQ1lzasMl3KSD3KuPkaiSfO7gMx8LMAMCkAbVoS/iLn338nNPiyuba5B7tb+MlF2+2wdKut1OYGthdGQsnbCgGoDq2tL7n5h48eBf4eHhLfyt+4Py1hNeHWoG/0fV9XUxnw5Rq9X3TBz31rp9arVaRMFchnfXoCAlP3/bClKE7QT+eiWYbF87P23loAXffP/Ti88vFEcsgeCtKCXmKcPi3aFm8B5o8PjJuV88JqIwokCEebMihIMIUbrt1oBMo+2ECNLRuIxth1qqAix1bJsK63glI1s0sQSClHw0LhEaaY+QqSzhkrB4B7y6BNIcXzhdMFR30ztAC9m2ghRhe8FxsyaQu0q0bQrxirwO0Z5tFwUNXM4k+aLE5AoiOMx6QdNwWk4vAAWZ4WpfmV8Q22YokqooFlceYeGNb5gUx7etIEXYfvzikrm2tYIraQw++vncWfeKJpNAoBcl8OrU6mh8Af8ff/m5Z3sMHXP/o0+npaWJKJIw0DQFRTZLdnzbBFKE7UcVGc+1E24dlh1er1s16oOXn05ISBBPKAFgTAauyCImI2TcxkhieGuxLUtNBW2sZ9u4SiPzDxZXHrGAx7cm9s5LM7//PmDK0OkPf/3dDyJK5ThUeSHk8h3MFU9FtABylmk/sM1wLJ4ZMyh2+rIdnu4vCth0zDbfelloJCaT6JcE9pfxJg97tB1k4fm7qSxAEwg6jyzrMOCld0fcmzrZx8dT9Qc8vkxQGE3TOI42PLcBfUDth4DyNXTV+T214HEv0IIAAKpY6geELN6aWh0pQhZ5WFOO30ofc6fRx44dE0cmISCL7Wb8n05cjejaf8p9DxYVFYkokvuDFGH74afuLQC0RURhBKRhNK5UgRc6VLH3nBGSqHA5AID/vyea7ONLKv3r6urEkEgY4IXOld6PlrxwfGfY9EF3TfaevFdOACnC9oOrfGT+NsczC+U1jmdSLsAEI/MPxpTW6HLaqLfUVoorj1DACx0p7/iJkHAGs74AwyyVvrRVT2hyT3br1k08uRylLtdeVDJDEQ0AoLuNL+pyz+Yt34onlLuDFKFDeGV+ChQ7YQXD+P4yXji+Ul7oAFyG2xzBMIbpYC4ADKM4/GWvSL+kpCRxRXMEOJr+ptI6vsbkkfuPnxVJIg8AKUKH4PlTeIf1jGHgmDlJvyj5afu9QxEyFoqqKLFe8IswSBBVRBzX7rX/7dCPBs71z9z27UYRRXIQur5WThrZtglXFMi11l+Y61VKhWhiuT1IETqE9/lTUJUljNnEto24fM1X3127dk1ckUSEt+P3ioUOfJgtC9JiCqW48ogLPL5vTx2Yf/H4hlUfe66/KOB/S7PkERab7Tfg4i8z7h4jklAeAFKEDuF9/hSwOr9EBT13Wjb8gYWPPfsi441V2m8L/KL0jggK3gGh5JNvwRadIMakVHr8sgD+lmYwAQAAUFfm9/vrvWVFkydPEk0stwcpQoeA8/hRXlGeF1aEN0N60kMeKnvizx+v123YvEVEqcTCC3f80HKNkHy9Vu9e6JiLrsWsHNTj13nLpnT+Z8cvGCrG1DwSjZUWCiIkHJMr2IzMltpKur4O13h26T5jQRbX5k7aa8a9vvr/2zvvwCiK74HP7u219N5DCqmk0EILRQKEZmjSUUAQqUr7WVCEr4JgQVEBEb8K+qVKRzH03gm9BNJJ7z2Xa3u7+/vjLnt7EMIlt3d7l8znr7fH3szjNrNv3syb97a9/e7M6RwpxRmYqw9AEHV6AXWNRgSz7ALu8OwEE9094DxAUZZeuo85XZu1aMnCrgM4VMaCgB6hYeiGG7QCp0FemEPLtCEEdu5VVdXcKMQpiEDIc2gIN9BN4WihMD3CNh0SDAAAALW2Q63t1DKFK4mqMm71MRxmyB6c6OgPNISG0spSM6M1pbT8TNBg46uLXFycuVGIa1rZ6qhuXQL4onwukZ5lj1+KUBEVDRlkEAROdPQHGkJD4beijJSUQkY2pNtWIVi2wAMAACjK/tjKpXNncqkZdzAnOl+vXO7VoWtQ59gNm38lCMtLJETUVpLyerWMCMVtNt02E34rCgwmKoopQqWWmekgIK8E7hEaSmvyCPHSfDrddr6MJK/tECjr7R8dmjZy0FuTJ3KrG1cw3SbH6PiihA+Bon75ya9PnJt27MAuDhVrAbqpEnwtfT+MFbBWdFQUh5FQLQUaQkNh1r209IHEnBF7BIX8KCbsbV1eW7vTz8+viW+1bpgeQ3u8BAAAhNaSEauTtk+9ceNGz549OdOs+eAlubQM67WqaU2Bo7rJ86AhbAbQEBpKI6m3UR6H+hgCcyC5hka/P6KNLocyYe4hBSu1v09FWMKZi1csyxCqYMjoC/Bb0YoOTJ7XYuAeoaG0ptTbeAkcSM/Ds3fGUc180YaQuqk0e6gA5aksbZtQZ2kUeoQAAAAwF0+64iZRU0GXLLZE4NJoi4GGkAWYk2uL3m/XWVqBA0kNglAObvRVkFxjS5zSTgzo04sjnVqICsbWvwjK47WWE1AwXX6LgYaQBVrJNgNJMpPjwBcljUP7cFpur8wHBC4++32EsKZfv34catVcKFypqmo4G4OibTzdNpPWEThKSmpIaZ1a1jn/CtEDaAhZQHcg5TZxpzmjzpyilnm2jpaeIodFmBOdqOvrfTa+9n8R4PSRvRyq1AJUjJBgzNEd4cNaBBqYq4iWe5SQqbkmIxJEb6AhZAGdgVRiqR6hSiekELqDWpgBeDOG9Ml7fGv1Z8ssLkEz80V5KTW3U7/BP1nmaUjWaR0eoU7OIDh+mwk0hCyAubejZcv1CHUiZeBAYtA6PAbmizI5ZOyDMX9+dja/16DXoS3Enss4apnAkFFDgIaQBTBHN0QgUsuktI6UWGRaTt1DSHAgacFcvekjMURVGaWQcatPy1AUMbLIinyBratk2Mqn9p2379rNoVbmgM5EtqyQTs5iWeDQEBoANIRsgCA68TLFFukU6p6dgB6hFoSHYc4emguKstB6W7U5abSc0ZBOXdJ5wv7EMxxpZC6gIiuevSaVrk66Tovi+bRBkOYADSE78C2/Qq/u2Yl2TdzZBsEsPaMsRfHrKuirDGHDf0dgJZXJuVHJnNB5vhY4filCpWKk28ZcYUhw84CGkB2Yqyt5D5L++OOP48eP19XVcahSsyAlNWR9rVpGBEKeI4y91oF5/NwSJzqqyhK0YcWvCrOrwOzVMpZ+sV/3ztzpZS7oPF8L3CZUlRUAUrPXy3Nwhem2mws0hOzA9Agf373/7tm6Sf+9HNKt3/5DRzjUSn9g7HXTWHq8DNN4ZzRU10Iyrrld/2XJgjkcKWVGWHpODGaMHgwZbQEw1yg7MD1CP0cbInReLQC1Az+Yt2J4dER4aGgoh7rpg27sNdxpfx6+hb8omcY7P+WO+7nRlKQi3M/7z+OHHR0dOVTMTNA9AWWBz7cYJlczCGgI2QFz9aIQFKFIAICHqtKGlElQMRDZVg74eNPW7Ru/XcO1gq8AJt9qGt3AwgJAkgC1pNUUFSOA6+2FS8aHxTo7O/P5fA5VMiuYm+KWmGUNbvAbiCUNZnMG4WEKsZ1Gpqj2Cs1YotxDUjKyOVNLb5izYL5H2y269DJQKxttanVcqaoo4laf5oLrnrb28PCAVpAJz96Z3lcjZRKioTy1paBTYAtOZJsPNITs4eRBi3RqZlCV187bo/H7zQm8RHvIDPOAM8pG0HEKLW2bUNdjgBOdF0CQ5wK/VSrLOU1IUTpnJ+D4bT7QELKGS2g0LQepC9eRhNOF9fOmT+ZMJ/2glHKiqkxzgfJgOuZGYb4oLeuoKFFXBUOCXwlzovPhggXeHfv4dOj6xVfrlEolh1rpg6qyhFIq1DJqbYfa2HOrjyUC9whZQ8CYiAWX3UEzgfOtbUtnTIqJieFQK33AS/K06ZhdPBEMLpo1AvNFaVnxFM9vAMOQ4MZgTnTc+kws9ZoLVMpvz3x3c8qMYwd2cajYK4FZRg0HeoSswXxRdkMKv+sku/nPzmVL3+dQJT1hRlLAnfaXwVxxUlmUR4iXwOf7ajDG1niweo8fE0iHfnqrUPrgwQPO1NID5vO9k1e+7Y8/KystbI+Tc6AhZA2+u3au7YTgi+fPCQgI4FYlPcFh3Qk90PUIc2kf2vzR8Qg94PNtHKYvFazQ/mKVwfE3biZxoZG+MA8RHlIEzjtd3iF20IEj/3CoksUBDSFrIEIxnbEQkISq3GICC3WXVqDH0Dg8Oye6RiOlkBE1FU3fbz7g0OPXA8zZk0A070M3VaU9IVHLKIFjPB53er0aecEzWk4LHKocsKhkwen5y74oKrKYVxDnQEPIJnzLrMek4xHCkLOXo5ORsjiniTvNClhpUi9QVGXjRF8FNZyAcnz6b79+fTnSSS8URdm0rMkiK7ar7jHTUtJamQPQELKJJeanoAiV1nlFEFiAqQl0JzqW8XxJuZQ+FYfwMBgS3AQOQR1oOUiRByQV9n/NGxkbHRwczKFWTUPUVmEqTVyrFBUVYi5qGXf0y8wr5E4vCwNGjbKJJXqEzHS9KrFdRm5+YGAgz7zXgriC6S7jlvJ8S7UhwTwXT4QHh/xL4bu3o0tNdrn6zaNiZPmS+VMmTuBSp1fBPCGaKfShGsIUBGXpYf3g6o6+QI+QTZ6Pp7AEmAb7ZjneZ9aK9p16nTt/gTuNzBediY6FBI7qhgTDddGmYK7ozBzeL/nGBTO3gkB3Azi9ocwkqC1xuP2/CePe4EYnCwROD9kE0ynmkg8oyvzPbDHT9T5pN7i0+zugpmjigvGXDv4ZHh7OoWJmiCV6hDpnJ2DyvCZh/j6WM9HR7lXnZT0FudttKzPs0k7t/O8GZ2fnJr4IYQI9Qjbh2TqiVrZqmVIqVFWl3OqjD9K8DFrWFC639ywftmr1+p8508lcwRzdEIFQLZP1taSkhlt99IHpMWDQEDYJ5uoNUM2mgKqqlFLImr7fHGAGbY2J7/lTF/lfs/um37nS/7V+HGplcUBDyDK6x64tILBQXqiNvU6nC5d4q1ZvAAAgAElEQVT7d32Y/IQbhcwZBLG4wFGYLUF/EIyPuXhqLijKIuLdmBOd7sNGLXxvwfDhw8ViWJi3eUBDyDLMSbcFZKQkCaymjL7SGkJJhYO9AzcqmTfMiQ5enCuTmbXTQCkVqspizQWKYjAk+FVY1kSWrK8lJdVqGeELMCcLyO9vnkBDyDJ8HUNo7gNJVVYICE2W/VLMqZqnWde1vb51+vhR3OllvjCf7+/rv/XvEe8R2mna3IVVVVUcavUymBlwMGdPhC/gVh/zR2f8mv02MF7EKBrj7mtZNTLNChgswzJ8T8Z+e5G5G0KmqU5TCEBFDpBUON7cGmNVM3P6VxwqZrYwn69PeLfS4V8DAPbc3pc0KOHRjQvmVuSP6dPASBl90FnRsajxC5+vIcAZBMvoDKSSHDPPSMkcSDZitO/lT97I3bbtvRGnjuyFRwkbhfl8Q+SaPSRVzIT8dnF/7dvPkVIvBdfJMgo3CF+NZR0FhhMdtoAeIcvwbB1Razt1+TdKqVBVlmDO5rtwzzSEcWPGJ3w7jENlLALMyYNAMR6pAgA4EbUuRHU5zwEAUB8y8Oy1o1PfnMK1gjowfRpYr1UfMHdfgPLUKSZUlSWUQkZXrjdDmOMXhgQbAvQI2Uf3NJJZr66oiuCMspkgiNxKG0YUImtwGlQKAd/sppWqEsbzhYXp9QDB+NqZK0XhpWYdOKqTTh2OXwOAhpB9dPbbi7I50+NVUIRKVVZAX8KlMz2x9guh5VCFxtLYPzo8ekgcRxo1jnpBQnOBIDDdtp5Yyjb/CyGj7tzqY9FAQ8g+mKdlBI6qygqphpBRnr0zKrbhVh9LwT5Qm3AnRJEL5HU2iZ93wkqHDR3KoVYvgpfkApJUy5izBwwZ1ROm62zO4xeGjLII/O3Yx1JOUOjstHv6c6eIhcH0GCIzj4bteOPL+HZnjx5AzCydnqoom5aTK6TrfvgpN9fcoz/MAZ2JrBl7hDhc92YPaAjZR2ePsCSPnpWbG3CnvWUwf6su3k5Pb15YNH+OGQbZMp/vKRD28SObmGETfvrlNw5VsgiYk0Jz3trQ2eD3hOPXIKAhZB/Uxh61sVfLFK7U7tOYGTgcSC0Cc3SjIwlJaR1Ra45H6QEA8vwsWk7x6UfFTitbeG71LzuePIHJ85oCc/Ohi1URNeWkTMKtPi+DaaTh+DUQ1gzh06dP//777+zs7Eb/NS0t7U4DycnJbHVqtljE6ig8jdtCEIRZz8hsA4Oluem0nCbyAwAAHr+yz3t/7jnAmU6WAMLDMNeG8sUUZbbPV2dFxzOAQ01aAewYwjVr1gwcOHD37t3du3ffsWPHizfMmzdvwoQJc+bMmTNnzsqVK1np1Jxhrq4wt2rMB4pQEeUNBawRBIPpmJuD+QcGk/J6vkLjyqgQLFPgrZYpR++cIjNdojAf+Ay7Yp7bhERNhfqwMgAAEYoxRzdu9bF0WDj5VFpaumbNmvv374eEhJw7d27KlCkTJ04UCJ4PUfvmm2/GjRtneHcWAfNFmXL13KbDN73dXMaOGNq1a1cOtWKiKs3Xhow6uKIiK271sSwwszeEqiJtVqNnQk8c0Yx0XklqVDD0Hl4B5ukP7l1Uy+b5fJ9fFzWzQC2LgwWPMDExMTo6OiQkBAAQFxeHIMi1a9devK2wsPDWrVvmmZuYdfhe/rQsKSvfbjvyq7LQIfP/M/O9pdwppQNeqN1A4nvBN2PzYP5i5v+iTBH6a6S6Mqcrm2ZONa/0N2aI+W9t6BpCOH4NhQWPsKCgwNdXs2WCIIivr29+fv5z9/B4vD/++GPXrl3JycmffPLJ8uXLX9YaRVF79+6lL0NCQqKjo192M0EQBEEYpr5RQN39AIKop+QBfIUgqIcS4Vd0HnVoz5yhBw6OHTOaawWBskBbhhDz8GvBz0gQBEmS5vn7GxuUsZKMF2UTKpXpp+RN//Eri7JpOS/tPpbxs01trnXmhW0b17m7u7fNp6Y/KGMPGC989uLPxfmbB2eUEeW5t2tTD5QgCARB9D+thKLoK2/W1xAOGDDgxQ8XL148cuRIpVKJYdp2BAKBQqF47s4jR45YWVkBAB4+fBgbGztgwIBevXo12hFFUfv27aMv4+PjQ0NDX6aVQqEwt3z/DaCkjQNaVwUAwAARJM9/Ig4AANT0X7J5++qE4dyn9FQUaD1C4OL94iN7JTiOk+Z6MsToCK0RK1tKWgcAoJRyaVEuz+QZZZVKZRNPTcGY6IwZER8oRb2943v0+EwkErXgWbc5bJwQgZBSKgAAZH2trLwEtdUpz9n0j28ClIXZ2gtnrzb1TBUKRbMmIgKBgGmhGkVfQ/j555+/+GFwcDAAwMPD4/r16/SHpaWlnp6ez92ptoIAgOjo6J49eyYlJb3MEKIoevDgQT21IkmSbtncUNq5i+o068Bhihy1IQQOnuXl5eagcw0jiaK1fyi/+SqpDaFQKGRVL4uh3jtQkf5ALWNVxWLfQBMrQBBEE39I1aXas/Od41/v5uptEqVaDxJ3P2Vemlrm15QI3b2Y/9r0j290KKqqTDt+bQJCUTN4pZgMFEUxDHulbWsW+rbVr1+/l/1T7969P/74Y6lUamVllZeXl5eX161bt5fdrFQqMzMzX7SUrQ+rdkFkQYpaDlNkaz4tfBIaFMSVSjSkTEJUawrTIzwMFi5vAXxPf9oQ4kXZ4uhYbvVhQtRUkJIatYwIRJiLV9P3Q16E76k1hNs3/rgtrSYowG/J7OldunThVjEAgKq8UO2tAnW5GxuHpu+HvBIWgmU6duzYp0+f8ePH79ixY8KECTNmzHB1dQUALF++fMSIEQCA4uLisWPHbtiwYcuWLfHx8ba2tiNHjjS8XzPHITiSlsNkOQAAoJA4H1v5ycLZnOnUAF6UrS1c7u5LHx+G6I9uvMyzJu40PbqRFP4wpLAFYIwTUDWYy434n3bajRz87rKVa77lTikNzOeLwaP0bMDOOcKDBw/GxcVduXJlxowZGzZsUH84dOjQt99+GwDg6OgYHx+fkZGRnJw8efLkmzdvikQiVvo1Z5hHCcNrHjkc/cRj44Afls2PiYnhTikNOGODAYactQxzTsTFjKSAWWRbBvN3CxPhwMELhPSrmPPPL/uPp6amcqcXALpHG5NLa06ePInjOIf6tALYcQWsrKw++OCD5z7s27evWhAKhXPnzmWlIwsCc/NBMD6lwgEAHjzF4XkDYvp8bmNjFhUemGf8YXKmlsH30AYGq8oKKFxpPuUddDxCeDamRTB/t1BFDo8iCQQFKK+y67TDR48tmDOLQ92YKxD/LXI6tumkwwcrDv5vS1czWLa1UGCuUWOB8DBmBbhewb5mYgUBAEqmxwBflC0CEYq1FVxJ0qxOm+Hw+RoMz85JztPMbMSkwl9ZpJZJa8eyqmru9AIAADkjeV5K5OSaUd/kvLlr5JvvyGQyDrWyaKAhNCJmunqmmz6R72XqcMdWg24irmzO9HgOklCVMAqXw6XRlqJy0B6JCZdnqwXr/DvdoyO4UQgAAACllJOVxWqZBEiq0A8AAFz868KGnT59mkPFLBpoCI2Izouy0FziKVRVpXRCfVRsw7N35lYfy4WZP0hlNs8XL8lTL8gDAHgOLqi1Hbf6WC7uEdqVxg7yZwAAkHnDNf3EqFFcxvrhhdl07NMzoZcU1cRb1DkGPcuB9SZbCDSERoT5ojQfj0HF2GB4UiEdN2PeqVNwItkSzNMjhOuibCH01Z506pj9r9t/R/S89c35o/u5jfVjJkd8KvKnZeuabB+v1n8szUjAuHkjwnxRqoqyAUWZQyA7M2Q0ybXPQdD/3Jqf4/cc2PvHr9wpZZHoLH2bj0dYlE3LcF3UEJi7BrGu2IN//vTwMHX+oBfRNYQNb5jaEtvko4MHf8iNTpYP9AiNCHNhipRLVRXF3OqjRp6n3Wl/Yh8FArpVTf3zVK4yMfEYh1pZIpirNyLQJNYh6qqI2kpu9VED06mzBebRjj5ii0lr3OzMItiNmSU4Le0xeJAoOvWt528j9/z6k62tLYeKWTTQEBoX5qSS+YbikPqsp7T8WNxeLVR3n/m/g0c50shiQVGdY/UFmRzqQoPna9Xge7fnUBNL57nAb7Nw+imKubUxtVe7/7N/8PvogPTbl/u/9tLkX5BXApdGjQvfO1CRfl8t4wVZ4uje3OpDyqU8icZxIRA0TdhQRcHGuTKlhjO1LBa+d3tltiaRHp6fKfMIsrOz4/F4XOlDSmpoxxThC/gweZ5h8L0DafuHF2YJg6K41UdVUUzKpWoZFdtMeXfeFDPYbWkFQI/QuAjMzGPAC7PocZMp8JGhmpU9Xs7tbh07cKWV5SJgePwHtm4Jj5/gFdUzfvSkvLy8Jr5lPJT5GbTM9/QHKGcmuXWgEw9VwP2Kjs66t3egOcQctA6gR2hcmGtTSjNYGmWumyWLGl7ipZnOF9cvvHCcG50sGebzbe8bUDLovwCAs2mXeg0Z9fjaOQcHU2dDZr6s4bqo4fC9zWtrQyck2BueAGYNaAiNi3q/nSJUAACiqoyUSlArLrfcmQMp5/YJ51u5WG2xo6Js119/tIWSIKzD9woAKApIEgDgjxdbk7J6VEyF9Cvt/u6GX35b+Ympo/jg2Ql2ETANYXEOIAlunWwYCWUkoCE0LggPwzzaaebpFIUXZAqDO3KoD9NjWLZq1Thc4OHh4e/vz51Glg0iECqsHISSSgAACqhwefZtq3AAAB4Sd+HmFytNrg9z+R16hIaD2jjw7JzU264UrsRL8rg9kYIXwImOUYB7hEZHZ3WU221CksCLs+krp7BOPXv2hFbQQHBGIi5N/hEAgFIqEpo6BzeFK/HSfM0FgsAXJSvwfbTjF2dswZoeUipRNSRXQ3gY38OfQ2VaGdAQGh2Bt7kMJLw4l8KVahkm32ILt8iutBwh0zjcNg8OjH99kIk1wYueAZJQy5iLFypqQ1XLjYfAR5tfRpnP5UQWz8/QlhH19DOfaietAGgIjY7ujJLTgaSzgQR32tnByj+MliPkWUBabXNyTVjVnWlvTjGxJsx175Rq+fYdO6qrOa6T0ArgMwwhzkhGYXqYIcECuO7NKtAQGh2+d3s6yhkvzad9MtODw4FkBJjBe2H1aR33Tfqin9v1M4mmP02oZLymDykCZycWhvWMO3oMBgMbBNMQKgsyaZ/M9OhsADO0ghgODJYxOqjICnP2VJUXAgAASeCFWQK/sFd9ySgombH1PtAjZAeerSMdTyFEkVsHtvE9uKl1LGs42g8AeBTwuiK6a0nszFlLhzyK6erm5saJSq0AzMkdtbIlpXUAAEohU5UXYq7enGii4xFCQ8gq0CM0BczVUSVX24QUxVzY4XvDgcQaOqvfHK2eUYSKWWbysVV7AACwcqiOmXbo7384UanVoDN+uXq+CpmKjoRCUXiIkF2gR2gKBL7BsvuX1bIyNy3dLd3GxsbE5/ZUZQWkvF4to1a22urqEIMR+AbLn9xSy8r8DKtupg6TAQCoinLQhkiZQr5LOU9zll/p6J+V+9D0+rQmBL7BijQ6UWIm6NLf9DowV2X5br6IQFMKKjc3t6yszPT6cIK3t7eRCoBAQ2gKBL7BtHzvdOKULUmIQmIlK/v9x28GxPU3jQ7KvDStPu1CYHImFjGHeAplvrbfR2KtPsLy9JDOvo19A6IvOieg8rhZ0cEZ/fIZhRJHjRqlVCrFYjEXSpmUmpqayMjIw4cPG6NxaAhNAd8nGCCIekLX3l5c8+ZWBSoA1YUT3p9yavvGLl26vLIFw2EOYLjTzi7MiY6yIAuQJEBNvenAfFE+pA1hTbHD3V1jN583sTKtDObzxfPTOYmXYR5BZka6EQTx119/RUVxnA3cBBw9evS3334zUuNwj9AUoFY2PEdNtAJGqcIUOQAA4OBVMWb9J2u+N40OeC7DI2QMbIjh8BxcebaOaplSyPCy/KbvNwbMvausB9fAtR22if/x3jp6728bHR0dTa9Pa4J5KJOUSlRVpabXQWeD3weOX5aBhtBEEC7a5aloWcPkvV3nlNS0xr/ALhSlM6P0DTFFp20JndXRXJOvjpIEzihT996EuPUd63e/E5t+58pr/fqaWpnWB4LoFBY1ebwbpVTgJQ31TBAEhnyzDjSEJoIZeBYta3hRKqVCkyTiwkvyKIVMLaM29jwnGEzPMgLGtg1zO9Y04EU52pxB9s5D3hi/ZNH7CQkJbWHryDQI2mnnjhv+s7x9zGs+ETHvf/ipRCIxQe/K/AzdnEHWJui0TQENoYlwCOtMyx0bDKHw5o43EoaZoHfmugpcFzUG/HahtKzMNbUhVOam0jJ8vsaAzzCEAeFdyz68WbD46m8Vfj0HDlepVMbunfl8efDgkxGAhtBE8NsF04GaIYpcq/J0m5NrgtMPrvhoiQl6fz5kFMI2AoYhxAsy1YW3TIYyh2EIOUrX0LoR+Gmfb7Q8i0eRAEEVsTNzvPru2bvP2L3jjOf75b5T3uFdvvlhgwkMcNsBGkITgYqs6YQUPIqccuezNQO87l0+Y21tilUOpo8Cd9qNAc/OkWfvrJYpXMk8224CdDxCxisbwhaYsyfO16wz25Cy9kpNPJQkbOjxC9eN3bsiR5sz6MrQjYULL64+X/D2/MXG7rftAA2h6WC6YusXvLVw3mwMM8nxFZJg1vOES2dGQsDR6iillOPFuZoLBIETHSNRb+tCy/TuBqAIFDXukVyyvpaoLFHLOIIliwIAX1Q/8stTSY/z8vKa/i5ET6AhNB06q2eMKbyxwYuyKaVCLaO2jjwHl6bvh7QM5kRHyZjCGxudSApXb9TKxmRdtymY2/ydpZqJju2TxBEDjRuXy1z3ThH5K1BNeJ00OO7OnTtG7brtAA2h6dDxGLJN+KJk9HUuq9wjtNP0uQthgR7WYW7OMV9exkZngxBuABsNl8hutNxJlgZIlfj8hqCqe+PGvmHUfpnr3vfF2ueLEkoTLSm1AaAhNB18n/YIxlfLqsoSorbKNP0qsp/S8rXId0o+vLUHdO8Vn4DjuGkUaCMI/ELphDJ4cQ6d2dXYML1PGCljPAR+oXS8W7g0I2Rz3JJQxbXT/xq73hZzonPPqsEQkoTo6alevXoZ2HhycvKXX345ZsyYPn36JCQkLFy48NSpUwRBGNisxQEnFKYDwfh87/b0a0uZkyKOMvTvWB/q0h7QI/WeVSgAAI+ZmF+cfODgocmTJppAgTYCIhTz3dvhRdkAAEBReG66MKSTCfrVyRkEPUKjgVrbYU4eqooiAACGgEdH/hD4h5ugX6ZH+IDnAwAAFbmOh//v/RmTnZ2dW9xsXl7e4sWLDx8+TFEUAACxcgAKCUWoNm7c2CEi4qcffxw0iIPc8VwBPUKTIvBnrp6ZYnWUlNbxasvVsgrw6CyUkuCBZ67eMoECbQpmxKY063FycnJ+vnHTrRG1laqGSAr1TMuo3bVxBH7MbWBTrH6ryovI+lq1jCM8dM8Cnx9iY04u3Pfl+ys+WtriZm/dutU1ptuhQ4eoiMFg4d9gcw31Uyn1iwSsSAKDFj5NyxwydOiPP/7Y4vYJglAoFC3+uumBhtCk6G4jmcIQKnNS6BzBKWI/Kaqp3gJUCqGAbwIF2hRMF+H49q0DFn4bM2FBUOdeV69dM1KPymdPaJnvE0SvvUOMgc42f87TJu5kCyVjX8MmOOpp0sW85Fu3ziUOGjSwxW3m5OQMfz2hvKoGzNoOFh0FUcOA+mQIgoJ2ncDE76iVtyjXwKVLl+7evbsF7V+5cmXbtm3jx4+/ffu2+pPk5OSBA1uusAmAhtCk6BjC3DQ62M94MCNl7om1vTs8Pjx6SJyxe29rMJ9vlKdL2aTfSmYeyJy8a/Q7i1JTjeJAMA2hMKCDMbqA0AgYv7DimWkMIeP5srQSO3/+/PLyMmrmNtBjUuN3eIRSS04idm5z585rbrFDhUJx/fr1d999Vy6Xnz+vKXty9OhRiouSHfoDDaFJwZw9eHZOaplSyJQFWU3fbzjMGeUdyh0AAGQ1tv+u6CKqHjx4sLF7b2vwPfwQsSZDgiNR115ZAAAATr7lw7/8Yt0GY/SoYLwoBQERxugCQsP3CUL4mtMLRFUpUV1u7B4Vz1h+vklJSceOHQOdR4GYcU3d5+RDjv26rq52/fr1zWr//v37CQkJEonkypUrcXGaqfaFCxf69+/fUpVNATSEpoY5qWRO540CSTJ3MuRXt/n8EBu+a9zaYe1P/230vFBtEQRROvvQV12lDbOQwB73HyWz3huFK/F8RlERk8RutGUQHqZTezLbuE4hpZBpYq8AAAjCSkjw/v37AQBg0MJX39pjEmLntv/AgWa136NHj/Dw8CNHjnh6esbExAAAVCrVtWvXoCGE6GBKQ4gXPqOD+FEb+39PnshLvvXkxoX35ryLmrxybBsB9dHGU8TQhlBabWNry3pfeH46pdKcgcGcPXl2sO6g0dFdHTXu+FXmpACSVMt8d19WUiXcvn0bEVqD9nrEq6M8KrR/ZkZGVVWzD3odOXJk/PjxdI8qlapHjx7NbcSUwLehqRHqDCT2vQQmiqzH2n4DI+hTUBDj4dGlNy3ThtD6xh9vjnmd9b6Y21THn+YmTHr71i0YCWxcBP6MiSxjfBkDRZb2/cDWundJSQmwdweofmcfnXwAAMXFxc3t5cGDB2p3EABw4cKFXr16CYXC5jZiSqAhNDU62wzV5USlEatd6xrCSON1BKER+IVSiGZYtVcWuBTdtf97WXTtnfmz32G9LyVjInU+al5i0Nyhcz9b+/1PrHcEoWFOKJUFWXSZT2Pw/ESWDaytrYFCqu/dcgkAwMam2Z6olZWVo6MjAEAmk+3YscPM10UBNISmB+FhzLV+hTEnlcwZqwAaQpOACMXChm0khKLeTV3308SuV08d5fPZPthAUfWp9+mrOzbRwL9r5ZwjP27bU1RUxHJfkAZQazu+u6/mgiSMuDpKEsyQbwFLhjAgIICqLQE1+v2F5D8UW1l5eno2t5d169b9/vvvv/3226ZNm1JTU6EhhDSCsH0ULdc9vXPp0qXr16+zXupaVVZAZ3FDhGKBDzxqbSKEQdrn+9EbA6e/NQUxwqI0UZyDKjXuSDXPNkXsDwAAKFYXNfrChQusdwehYc4pjbc6qszPoJRytcyzd8acm22NGmX48OGAokCSHrFyZVkgK2lwfHxzM5pKpdKuXbvu2bNn5syZHTp0aNeuXWxsbAvVNRXQEHIA0xCmXzo1Zt2hEat3BsX0+2HTFhZ70VlX8Q/Xd1cAYjDM56vIeGikXgjGge4k6w4kaFivE9hKJCZKc9o2Ye4yGG9FR5Gu/cthcV9j7Nixrq5u6Il1QPKqsx/7PwYUOW/evOZ20aVLlw8++AAAgKLoN998s3btWmOnYzUcaAg5QOAfhvA0kyx/ax5v+KcVb/xYsujiqr0Xdu7Zy1Yvyky4LsoNgsAIbfbtomxSWmeMXlSMDcIbVtrn65h7vWPHaGP0CFHD9PiV2SkUrjRGL8wplIDRo4HY2tp+9dVasrYUbJ4A5C//yzy6Gtz7OyEhYciQIc3tokOHDqtWrZJKpe+///7YsWMnTXrJsX1zAhpCDkAEIj7jNFJP6WMAAOCLqsf+sOaHzWz1whxIwvbQEJoOVGzD9wrUXFCUItMITgNFqRhH6W/YaF6U2I0dwVhV9+7d2e8R0gDPwRV1clfLlApnJn9hDZJgRkIJ27M5s3nnnXfmzZsH0q8gX/UBaZef/+eqAvDft8A/q8PCw3fs2NGC9jdv3nzy5Mndu3cvWbJk0aJFLGhsfGD1CW7A/DvQp3F71z88at8XAABsXGpYWtRSlRdpczHzBbA6j4kRto/C8zPUsiLzEetlRvDiHKrB0ZSSSNmWGe4u/mRR6tC4PpsO7WG3L8iLYAERyobx9eMnH/z4pBpDwIghg77+/FM7OzvD21fmZ5ByTWwnz9ZRG57DEj///LOnp+cXq1YR6wYivtFUyGvAwQPIJSD7NpJ6kVIphwwZsnv3bgcHhxY07uHhMWvWLHYVNjbQI+QGcai22nVvyQONRKp4LAVVKNLu0bIgIII+sAExDczVM0X6gybubBmKzEe07BTVPevWucu/rSp4fHP7lg2svIghTYMx9hpC2ocVL72ev/ja1rrQLv3ipVK9Dye8HEWaNh44D7FmPWk7giArVqx4/OjR1KlT7WpzwdmN4OBykPgVL/V8/769Dx8+fOLECScnJ3Y7NWegR8gNovZRKgpgCAAA+CuLvPGyAr6r4MaOkUPjWWlfnq4dSCKTVMWDMBG2jwIoqk4LghdmkZJq1KYlk+uXoUjVTnSEQdFisTg4OLiJ+yHswvPXHmborMy2IWUSVKzs8VZBfcXPv/7+4RI9Epg1iZxhCDcWuxz7z+/t5P85tn9HC04yNEFYWNj27dtVKlVGRkZJSYmjo6Ofn5+9vT2LXVgK0CPkBkQg5DNKusRm/23397KI9H3ffLGchdYpiumFCEM6N3EvxBigVrYCnwbLRFFyht1iAZJgPl8RfL4mB7Vzwm01RXExStWzXuOgyyMTEs9fNbBxClfKGR7/5U4LKif992HsJyMmv21gy42CYVhYWNhrr70WHR3dNq0ggIaQQ2wjutHyW/Vnf53a886l0y1I4vAieGEWKalRywQmTK2SmXkNlFaJKLQLLctT77LYsjI3jU4hy7N15HsFsNg4RE9kbtqfvQ+9u4Egho81ZfYThFCp5Xy+W47AAwBAhvTLk/NzcnIMbBzSKNAQcoYorCstxzjwJo0fx9axa+a6yoU664GLv43s2T8lxRR1gCE0QoYhVKTeBezNRZj+pTCkE0whywkePQbQcl+JZsQJnxwf1t/Qw+PylDu0fMWmIy2rXINyc3MNbBzSKNAQcoagXSidTp6U1Cjz09lquf7xTVq+EDi+7M0/nwz/afDYN2UyI+ZFhDyHICAcEQ+51k4AABxASURBVIrVMlFTgZew9gqTp9ymZbjuzRUO0T3oJAYhilwvvJx/Z7/Xg93vz33XwJblT7XP95KNdjqFVeawu0cIoYGGkDtQVBisfYspUthZPaMUMpxxAumCbVcAAPCOqAwdnnjsGCtdQPQB4WHCIO3xr/zLJ/bu3Xv06NHSUoPSrJNSiTKnwblHEOa6AsSUoCJrcaC2EsXow+OnIEl3Lp60trY2pFmitpKuQUgg6GXaI8y976KqDAoKMqRxyMuAhpBLROHat5j8KTsFdOSpdxGSUMuZQu9sgWYKWe8e+fApa04nRB+Y24R3Ew+/ffjZm/+7FdU/YfW6H1rcpjzltrZGnVcAz97ZUC0hLUXUQZu4YNXEwX9u/lFdcsEQ5E9v0avoj6vx2uv7wYN/bf9ZHnR04dE9fxjYOORlwOMTXCIKiwEIov67V2Q/JetrUWtDD4HJnyTR8jkbbTwOv67I293FwMYhzUIUHkPLXR0xfvjcOtS6bvAn63fMDAk4OHHc2Ba0yVw3E4V3a+JOiLERhcfU/KsxTvK0exSholMnthh5snb8Rg4Z/VMVlVv4qPeg3gkJX5l/xk4mu3fvTk1N9fLyKikpmTlzpo+PDwCgpKRk48aN7u7uBEHU19d//PHHdEbv7du3V1ZW2tralpWVzZ8/38THYaEh5BKegwvfOxDPzwQAAJKUP7ll1W2gQS1SlPyJ1rM8Z9vwIsZlDnd3j1z3t0GNQ5oJ5urNc/MhSvMBABiliqu78499P4Bi1aO+/mbj7JYYQpJkTnREHaAh5BK+VyDP3pmoqQAAUAqZIv2BgSvVlApnBhh79Rn6XnOKxpByad3JXYrMx4AiDVGjWfCcPeziJ/O9A+lPSJKcMWOGt7f32rVrSZIcP3785s2b165d++jRo8mTJ+/bt69Dhw4AgLlz53733XfLli0DABw6dCgjI2PVqlUAgNWrV+/cuXP+/Pkm+y8AaAg5RxzRU2MIAZAl3zDQECrzM4jaSrVcr6JuPn0KPABSnOJyZdPXyxbBnXbTQwZEgdJ8tTy49uY/9v0AAMDBq6yisgWtKbKSyfpatazChJlSqkPTX4AYFQQRRfSov6bZepc/vm6gIVRkPKQr/apnyc34MkWV/7qCmaHUROSly5/edv9gE+bqrf5g3bp1165dU4epkySJouioUaMkEsmYMWMWLlyotoIAgNDQ0O3bt6sN4V9//RURoclRIBKJhg4dauL/BNwj5BhRRA9alj+9bWAme/kjbSomq/CYj33yR2X9+plv/p0T+2dOe9OQliEtw65zP1qOk9zFKBUAAEirbaysWtCa7PF1Wk6ss+8/94te8QnFxcUGqwlpIeJIbRZZ2eMbBh6SkT3UHsYXRfRo1sEYZU4qB1YQAAAApZDVXz+uluvq6r7++utp06apF3IxDNu/f3+PHj3++OOPgoKCqVOn0t/KysqqqdEcd46Jifn88899fX2nT58+bty4wMDmzADYAHqEHCPwDWaurshT74oje7a4Nel9bS555+5xq7sNYkFFiAHYhnbKIxA7HgUAsCMkvaSPL1t3sj67/t2pE1vQmuSe9vkmhs4q69arPPX80LFv3r96ljWNIc1BGNwREYrVbhxRXa7MSxMwMkY1D5KUP9JOdJr7HiBlRqn2pW/vUk1d8Vu3blVXVw8fPvy5G06fPt21a1dmMNGtW7e6ddOs7X/00UdRUVFnzpzZv3//7du3k5NNbdGhR8g1CCKO7k1fXdy2oUOP/qHd+s1a+EFZWVmzWsILslQNq3AIxhcZYFAhrIEgDp370lfDMnc7/zkl3qZk0fw5zW1JmZcGajR/EnJEcNGmMwCACo0r5Lk8fmys8rCQpkH4AmZIlOz+C1WN9EaRlUzUVallVGzT3BOigoAI1Mq2xb0bCL2ypT6sHBamU+5GLpfL5fLw8HD6k/T09Nu3by9evJgkyUWLFp0+fXrYsGHff//9zZs3MzIyCIIwpfIAGkJzQNxR+6JsR0gyp+5Lm/nvn0T36L6DU1NT9W+HOQiFoV1QMQvZ2iCG49RDu+87Hsv499vFh3dta0EEoOzeJVq+YNtFioo0n7uHZ2ZmGq4npGVYMcav7P7lFq+Oyu5rn68oskdzA1BRkZXzzBWmP06D8DC7YVPpQmPdunWzsbGpr9eWkzty5Mjx48dfe+01ui4HQRBLlixZuXJlr169SkpK9u3bR8eOFhcXT5w40fTxsXBplHuEgRE8W0f1ZNAOUQ5Qpp6w60l0HlPsHDDj/Q+vnfpHz3akjIFk1alvE3dCTIkwrCtqbacOchGReCf7Fg06imI+X03Qjbr9uiJX18EGqwlpIaKI7ohASCkVAABVZcmNI3suZ5c52tkOGjjA399f31ZIgrmvIY7u0wJNhEHRnv/ZgZfmU7iiBV9vAQhfiDm60hmUAABubm5bt279+OOPZ8+eXVZWlpGR0alTpwEDBgwdOvTtt9/+448/fH19d+3aNX78+OnTpwMAPD09ly5dWlRUdO3atbS0tJSUlJ9//tk0yjOBhtAMQFFxp76SyxqDN6b6/Am7ngAA0K5T5r58iqL0yUGK52eoygrUMoLxRWxXgoW0GISHiTv1rb+aqL6U3jnPjJDSE8WzJ0SlJiWNDBWetW04OFFdKM691b07B+8OiBpEIBJ16E6vx1w9fOgjfgJfWefw01vvjB3+1X8+1acReeo9UlKtlnGeIFXJb2HtNBTle7Rr2VfZYsKECSNHjszIyAgKCho5cqT6Q7FYvHfv3sLCwurq6t9//53p83344YelpaXFxcXjxo1jpepAC4BLo2aBVYw2ge+gult2hGbnmUIxktTrSFD9jRO0LAztiooMyvMEYRerrnG0LHt8gw6R1x9p0ilavlQild47BjJvCC787Ll1zL5tm+mVJQgnWHXVjt/Bbii/50T8tbll75/dcubR4b/1WtGR3taGOx2s94hf9HX/19+ora1lX1eTIBKJIiMjXV1dn/vcy8urQ4cOL658urm5RUdHc2UFATSEZoLAL6ywYTFDQOGjay4BAICkwlbA02e5nMKV0jsX6Msqr7CX3wvhAGFABM/RTS1TSrn0wZVmfZ1SKpgbwH2nzfvMK2tc8a7vYkWpSRd79YRRURwj6tANaQhUcVTVDqq7BQAACFo9dMUPv21/5ddJqUTCeL6HwueWv73nWrtxk2ctMI6+kOeBhtBcEDC23KdUngR1ZY67Zn77+TJ9viu7f4mUaZzICpL/2jcHYvoPhRVbzAgEYTqF9Vf+bda3pfcukHJNoAHP3jkkfvTqFZ9s27Du/flzbW05CxSE0CA8TBGoXct8s7JhecY1oKCg4JVfl945hzYUIMwReNywigQA4F3H305Ol0gk7KsLeQFoCM2FqElzqIa9wAh51vCD47atmDd29Ch9vlt9Wfti3e82omjanru9Po0fM9n0UciQl2Hdayh9PlqZm5px5czOXbv++uuvZ8+evfK7TMNp1W0QQOGwNTvsYofRcl/JPT9lMQAAlD3z9vZ+xTcpit4/BgDsdYyn3wPANaCoqIhtTSGNAEeUucBzcBF30MZQ7Jg9cvTIEfp8ES/IJPM0pywoBPnLcTAAgGrfq9wl4tq1a01+FWI6MGdPZo7s05u/m3WseMaRnB5jZsxe9GETO8HKnBRlXkPZEASx7jXsZXdCOMSlQ5d0ucaAoYCaXpkIKNLhxKqls6c3/UVF+n28WFN3XoVg+xwYSTCq8t3c3IyjL0QHaAjNCJu+Wssne3CFqNbrQH3tmb300aUbVpGZQs0MtMY1MiMjg3UlIS3Gpo/2+Q72ENj2myYftLRswak9meS6nza97Ft1Z/fTsii8G+bsYVwtIS2lw4TZtDy57GjgLwPnxXd85XS27sIhWj5m16uE76SWkdTzoV4u9vb2xlAV8hzQEJoRotAudOgzRaiYb8CXoSorkDEiL7a4vEHLVvXFLi6w7pIZIQqPwVw0ec+FpHJB6QEAAEAQyfCVW/7c3ehXVCV5Mkb+2I+PJl28dKnROyGc49YvgWenMWM2CHF+2ZtrV37S9FeUeenMulqHLl9CbuwGD/61O/xB+KUv9/3xixHVhTCAhtCcQBCbOG1pnvobJzLu3frvb7+v/2nj1atXG/1G3Zm9dJnWZFHAeZuG5PfSKqsnx+Li4hr9FoQbEMS6r3bTd2rVcU+8AgAABFYyJd7oNyoT/6Td/UfioG29N45ZuvbXbf8zvq6QZoNgfJt+2ueL3T9Lh7C9jNoTu+jnKwiI+HHD91+FV33k+HjXvPjHNy56eEDv30RAQ2heWMUMxJzc1TKFK898u3zBZcUHD61Hrfi1V3wCnaxdjTIvvf7WGfpyx+1U6t7fIPce7/p2t1+G/fbDVxyey4E0ik3v14tlmggmIalcXLoHAABUSgHaSM4EZW6aguEO/uw6Drj4V72zb+XX3+N444YTwi3WfRLohJ+kVFJ3Zq9KpUpNTc3OzqZeSL2myHgoT75BX9oNmRIZGfnx/y3+ZtWKhIQEfdJoQNgCGkLzAuFhtoOn0JfD3XmdYvpSvaZWTNl6O+jNafMWa2+lqOr9m2h3EHP3XbHx52WuqW/kbP0itPrxpRMjhsOoCrMDwfg3BL705YSqM5GyLPHFTZPeGPn8rSRZfXAzQruDovbH7WIBAIAvptp1efLkiYk0hjQHVGRtO2AcfVlz9kCfbj36zf2i51v/5xcZ80/iMfqfKEJVfXgLfVkhdkYDo0yqK4QBNIRmh3X3eL6nv1pGAbWuYIOYVAAAVF3H3bj3SKHQHLyXXP1XmatNyY0MmBwaHv7VF58d/N+vyz/6vxdzOkDMhBlrfyxqSJ6AAeKHx0sH4A++XPH8gdG6C4eUOSn05VqPGSTQuAgUyoMHY8wWm36j6eQJKKCWD4mtfHNbydt/5c06OuPTdZcuaw7OVyRuxwuy1DIFkPl57cJi+uhz6BBiDFgwhMXFxV999dW4ceMSEhJeds+zZ89GjRrVvn370aNHZ2dnG95pawZFHcbOp5dRghT53xZuVHsGiINXRUUFAECZm1p+YDP9jUSVb/T0D86eO8+BtpBmYm1rF/X+avoyTEz8PqLjgg8+DeocG9ix58SZ8woKChQZj2oT/6TvOWYXe8Wmo+aCwJHs23SZb4i5gQiEDqPfpS87y9NXFG0FAABb18rxm5Z9+R0AQJ5yR3puH33PIcf+1/qvyh761dS5i19oD2IKWDCEhYWFubm5wcHB58+/9EU8bty4sLCwS5cuhYSEjB8/3vBOWzfCoOjjpdqDZaOrL64t2oxRKnlB6vuffD574vhn3y/BgMZWSlDx55Ffls45Om3+UpVKxZHKkGYg6tCNmZ1Sde+8D6CezTn1bMH5/Q4J74wZkfPTh1RDqpEaJbmytqHWq6TCYefMxXNmikQi06sN0RNxx768MO2Z0ZkVRz8q2YlQFPAIyUhN2fzp/xX9upJ+85bxHb9wnwUAoEL6PU7Pgr4+J7CQq7dLly6//PLLnTt3NmzY0OgNSUlJmZmZN27c4PP5X375pZub2+3bt2NiYhq9GaKGP3BS+u0jwUKl+vKtyhNdc44d7xHp5eY8Fi/gA62Z/Nj7vWLMCdgChV+3O3fu9OjR7MoGENPjMH6BMidFVV6ovnwHTe6Z/dFxu14BovTRvdx4DXESJECWpwFvfCty8hsSxexEgrWfLh0/9o2XtgsxDxwmLHyy/E13ocbevV+2t0/d3VNPMsP6hCRIk2krSCDoIp+lVZid+hIR29XX19vZ2XGhcpvGFEnrk5OTo6Ki+Hw+AEAgEERFRSUnJ0ND2DRvz5yx4mmyk+yxM1/zUgy3RcNt6wF+j3nbRteJdGk63Nq1srLS1IpCWgQqsnae9XnZxg/UdQoBABHyrAh5FgAAMKIF17lP/Tt4mNfGAYVP71IUhcLkahaC2Mn1q2fol2ECG6CZy3aWp3cOBADopBBa5THrsnVDklICR6VVzbWCQqFw+PDhAoGABaXNG6lU2qdPS8o06oNehrCioqLRZF1xcXH6BOiXlZUx8yM4ODiUlpa+7GaCIBwdHenL6dOnr169+mU319fXvxiU3Gr4+D+f59y9IT262UrVSNUeCiCbXMd/6/4W/Ykg766Pz6S6ujrTqIfjOEmSSqXSNN21QqwdraZ99uzHD1yFjZg3CkG+dp+22WUcAEDl4JOWlubl5cW8AaZj5hB9fvxP1qx5b/6c73t6OyONlMklAPJlJm9byEDNNUnY/P3pjMnjmzt+Dx06VF1d3ayvWC7u7u51dXVyuRzDMP1Lj4lEIrUb1gR6tVVUVLRt27YXP+/UqZM+htDBwaG+vp6+rK2tdXJyetnNPB4vKyuLvrSyshIKhS+7GUGQ1n1ULvK1eDKmR/XhLZJbZ1HGuaI8zOXzK5mnxmr3mbBbezu4iqKiTBeBrTaETTwdyKsJjf7kmWBEx6iRyvsIY0r3TOC13Hse7SsgFGFnZ/dioQlYeoJDXvnjd+3a9eCpsz99uy6y6G53Ox1HMF3o+6nX/Bu199CVUU4xw0hMxMu8OnPC6DX/+bS5xwdtbW19fX1ffV8rgs/nN8sQ6oNebUVGRh4+fLjFfQQGBqampqorrZMkmZaWFhgY2MT9TI8QglrbOb310fLzaUrHUHcHRyXKv2sVctm6k4p/i/d1X8fofoStB5Z3Nzbc/397/uRaWUiz+fyLFQnvLPlu4rcDBKXueKXi8Zmbzj1uRMwnkAY3UVIhrC/z9PTkVE1IS7C3t1+55ksAgKok79O3J4t6Tanh292zCr1q3ZEECOjW3vvGzwdXz1IoFNHRq+HWIIewYFRJkqypqamrq6MoqqqqCkVR9ULohg0boqKi4uLi4uLiMAzbuXPn1KlTd+7cKRQK+/XrZ3i/bYoFSxbHTXy3/J39wM4dAAAoSpR9Y8yYEZ8tfa+0tDQs7EOYjclC6dmjx79bf3h3ySeJdXKAYtZAUVv3EAHeoNMogKCgINl5/4JN367iWk2IQWDuvsLeCetv59cnfKH5iKJsEr+YO3Nqt27dmvwqxBQghu+xFRUVRURE0Jd+fn737t0DAIwcOXLYsGHz5s0DAFy5cmXq1KkSicTOzm7Hjh2xsbGNNqVSqcRisf7poyQSSeteGmVy6szZdxcvk7uFEmJHNDtp5IA+P3+3lsOVSbg0yi4KhYIgCCsrq8rKyiXLv7hw5TpBUgF+vhvXruzUqdOL99fV1cGlUa5owY9PEMS7iz789+q9utAhCEXZpJ54I67n5u+/ggFQzaW5e4T6wIIh1J9X2i1oCJtGpVKlp6dXVVV16NDBwcGBW2WgIeQWaAg5pMU//rNnz5KSkhAE6dmzZ7t27VhXrC1gDENo0skI60Zrx44dhYWF7LZpzmAYFh4eHhsby7kVBAAkJSWdPXuWay3aKLW1tVu2bHn1fRDjsGnTJpmskVjuVxIQEDBx4sQJEyZAK9hijh8/fv/+fXbbtGyvfO/evSkpKa++D2IErly5cubMmVffBzEC+fn5jQZyQ0zDli1bSkpKuNaijXLy5MkbN268+r7mYNmGEAKBQCAQA4GGEAKBQCBtGmgIIRAIBNKmMWnU6CshCEIoFPr5+el5f1FRkaOjI8zEzwk1NTUEQTSRJAhiPHAcLykp8fHx4VqRNkpeXp6XlxePx+NakbZIRUWFQCDQP2p3ypQpTeTpVGOKpNv6o86vpn8tIYVCAcP3uYIgCIqi2A1ihugP/OPnEPjjc4hKpUIQRP9ZiD5ZmczLI4RAIBAIxMTAPUIIBAKBtGmgIYRAIBBImwYaQggEAoG0aaAhhEAgEEibxoJD/k6fPn38+HF3d/dZs2Y5OztzrU4bIjU19eLFi/TlmDFjXF1dOdSn1UNRVEZGxt27d2tqaqZNm8Y8L3T16tXDhw87ODjMmDHD29ubQyVbMdXV1Xfu3MnMzIyJienSpYv6w+Li4n/++Ye+Jy4uLjg4mCMFWzNFRUX//vtvamqqs7Pz5MmT/f396X86cODAtWvX2rVrN3v2bCsrK0N6sVSPcPv27dOnTw8ICEhOTu7du7dCoeBaozbE1atXv/vuu6wG4I9vbFJSUmJjY3/55Zc5c+bU19fTnx8/fnzEiBHe3t7FxcXdu3evqqriUMlWzMSJEz/66KPVq1cnJibSH2ZmZn766af0KJBIJBxq2Ip55513Ll686O3tnZeXFxkZSafbXrNmzWeffRYUFHT27Nlhw4YZ2g1lgZAkGRYWtn//frXcqVOnnTt3cq1UG2Lr1q2jR4/mWos2hPrIZmlpKQCgvLyc/rxfv36bNm1Sy4MHD16/fj03+rV21L//+PHjV61aRX945cqVsLAw7pRqK8hkMlqeNGnSokWLKIqSSqVOTk43b96kKEqhULi7u1+6dMmQXizSIywtLU1JSRk0aBAAAEGQQYMGMVfqICYgNzd33bp127ZtKy8v51qX1k+jtVtVKtXVq1fj4+PVl/Hx8XAUGImX1c6tq6tbv379r7/++uzZMxOr1HZgbgQoFAp1QpnHjx+TJNmtWzcAgEAgeO211wz847dIQ1hUVCQQCOiafO7u7m2qKiHn2NvbR0RE1NTUHDp0KCwsLDk5mWuN2iKlpaUEQbi5uakv3dzcioqKuFWpTSEUCnv27FlZWXnp0qXo6Ojjx49zrVEr58yZMxcuXJg7dy4AoLi42NXVFUEQ9T8ZbgIsMliGz+cTBEGSpHqmhuM4THdkSsaOHTt27Fi1PHv27C+++GLfvn3cqtQG4fP5AAA6H6FKpRIIBJxq1LaIiYk5cOCAWl6/fv2yZctY2KmCvIT79++/9dZbO3fuVEeEYRjGzMSJ47iBGact0iP08vIiCIIujFlQUKBPNjmIMYiNjc3KyuJai7aIi4uLUCgsKChQX8JRwCFwFBiVhw8fDhs2bMuWLcOHD1d/4uXlVVpaiuO4+tLwP36LNISOjo59+vRRT8dkMlliYuLIkSO5VqoNIZfL1QJFUYmJiZGRkdzq0zZBECQhIWH//v0AAJVKdfjwYTgKTIlMJqPlo0ePwlFgJFJTU4cPH75+/frRo0fTH0ZFRbm6uh47dgwAUF5efuHChREjRhjSi6Um3b506dIbb7wxfPjwx48fe3l5/fPPPy/b0IawzpAhQwiC8PT0vH//vlKpPHPmjK+vL9dKtXK6d++uVCofPHjQsWNHoVB48+ZNAMDDhw8HDhwYHx+fk5MDADh37hzcIzAG33777b59+7KyssRisaen5/Lly8eMGTN//vwHDx4EBgZmZmY+e/bs77//7t69O9eatkJ69+79+PFj+oxm//79v/vuOwDAvn373nvvvddff/3atWtxcXFbtmwxpBdLNYQAgMLCwkuXLrm5ufXv3x9aQVNSUVGRlJRUXV3t4+PTs2dP9WYVxKjcuXOHlhEEoY91l5eXnzt3zt7efsCAAfBBGIm8vDz12RU1fn5+Li4uEokkKSmppKTEzc2tR48eNjY2HGrYinn69KlUKqUvHRwc2rdvr5YzMzOTkpL8/PxiY2MN7MWCDSEEAoFAIIYDHSkIBAKBtGmgIYRAIBBImwYaQggEAoG0aaAhhEAgEEibBhpCCAQCgbRpoCGEQCAQSJsGGkIIBAKBtGmgIYRAIBBImwYaQggEAoG0aaAhhEAgEEibBhpCCAQCgbRp/h8ubJ2mzsbVEgAAAABJRU5ErkJggg==", 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"execute_result" } ], "source": [ "f1(t, y; k=10) = -k * (y .- cos(t))\n", "\n", "thist, yhist = ode_euler(f1, [1.], tfinal=20, h=.2)\n", "scatter(thist, yhist[1, :], marker=:circle, label=\"\\$y\\$\")\n", "plot!(cos, label=\"\\$cos\\$\")" ] }, { "cell_type": "markdown", "id": "69efdce0-1ad5-4b5b-b4e8-b62dc41f9409", "metadata": {}, "source": [ "### Forward Euler for systems\n", "\n", "Consider the linear system\n", "\n", "$$ \\begin{split}\n", " \\begin{bmatrix} y_1 \\\\ y_2 \\end{bmatrix}' =\n", " \\begin{bmatrix} 0 & 1 \\\\ -1 & 0 \\end{bmatrix}\n", " \\begin{bmatrix} y_1 \\\\ y_2 \\end{bmatrix}\n", "\\end{split} $$" ] }, { "cell_type": "code", "execution_count": 4, "id": "95a4aa28-f2ff-4248-ae9e-90772b1f41fb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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"execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f2(t, y) = [0 1; -1 0] * y\n", "\n", "thist, yhist = ode_euler(f2, [0., 1], h=.1, tfinal=80)\n", "scatter(thist, yhist', label=[\"\\$y_1\\$\" \"\\$y_2\\$\"])\n", "plot!([cos, sin], label=[\"\\$cos\\$\" \"\\$sin\\$\"])" ] }, { "cell_type": "code", "execution_count": 5, "id": "01ee442b-d106-403a-8970-1d4e78e96475", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Vector{ComplexF64}:\n", " 0.0 - 1.0im\n", " 0.0 + 1.0im" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# The eigevalues tell us why Euler struggles (below)\n", "eigvals([0 1; -1 0])" ] }, { "cell_type": "markdown", "id": "56e6b792-ddab-468c-8ef2-5b500d6e9cb1", "metadata": {}, "source": [ "## Runge-Kutta 4\n", "\n", "We won't dive into the math here, but the [Runge-Kutta methods](https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods) can be thought of as a weighted average of multiple finite differencing schemes." ] }, { "cell_type": "code", "execution_count": 6, "id": "7ede6048-c64a-491d-a3bc-c55885de9fc4", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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"data": { "image/png": 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AALOxrMUyAAAAQD0QCAEAAFg0CIQAAAAsGgRCAAAAFg0CIQAAAItm6atGW8Lz5893797t5+en0WiYTObixYsRQiRJ7t+///nz5z4+Pk+ePJk5c6b+XqOZmZn79+93d3fXaDSOjo6TJk0ya/UBAMCyvCWBUE1oDiYfi8m/o9QoW22jTCpjgGfvme0nUzCKPjEqKurjjz++dOmSi4vL6dOnFyxYMGfOHDqdPm/ePCcnp+3btyOESktLw8PDU1NTbW1ttVrtrFmzrly5wuVy09LS5syZA4EQAABa01sSCL9N+PlC5tXW325WVa5AUbWia83Td0tLS6dNm/bjjz+6uLgghCgUytKlS5lM5s6dO6OionJycnTZnJycqqurY2Jixo0bl5KSkp6eLhQKuVwuSZIfffRR638LAACwZG/DHKFco7icFWWurV/IuKLSqnR///jjjxqNZuzYsbqXY8aM2bx5s1wu/+qrr+bNm0eh1HQcS0pKpFKpTCZDCPn4+LBYLG9v77CwsAsXLrz77rtm+RYAAGCx3oZAqNKqtKT25flahobQqgmN7u+oqKgBAwYwmUzDDE+ePKmoqDB8SG9sbCxCqEePHgghLpf76NGjPXv2hIeHf/HFF0ePHm3FugMAAHgrAqE1w6qDY6i5tt7FpQOHVvP8XrVaHRQUZPhudXW1UqlECAUHB+sT//jjj/Hjx/v5+V27dm369Ok2Njbz588/dOjQokWL9MOnAAAAWsfbEAgRQmt7rzRLLOzsHL6q5wr9y6FDhwqFtY/8raysXLduXWhoqIODg0gk0iVeuXIlJyfnl19+QQidOHGCy+Xq8xcVFU2dOrW16g4AAACht2axjAPb/och24QKkVwjb7WNsmksPqPODbu/+OKLpUuX7tmzx8PDIysriyTJLVu2MBiMI0eObNiwYebMmcnJybm5ubdu3bKzs0MILV269NKlSydOnEAIPX78+IMPPvD19W21+gMAAEBvTSDUsWFa2yBzPkqCy+UePHiwqqpKLpePGDFCnz5o0KDIyMiCgoLIyEg2m61PDw8Pb9++fXFxMYvFmjhxojmqDAAAlu6tCoRvCD6fz+fz6yXiOO7p6dkwM47jbm5urVIvAAAARrwlc4QAAADAq4FACAAAwKJBIAQAAGDRIBACAACwaBAIAQAAWDQIhAAAACwaBEIAAAAWDQJhq7p48eKtW7fMXQsAwBtHpVJt37I5IjSoc4BPr47t/zywnyRJc1fKUkAgbFVLly6Nj483dy0AAG8WkiTHDBkouX78+ECvs6OCfu/pfO1/Xy1fttjc9bIUcGeZVpWVlaV/KiEAAOicP3fOQyVY3L3m5lM8BvXLnl4zrlzLzMz08/Mzb90swdsTCFUitTBNqpZpWm2LNB7VJohHt2rGPoQoCABoKPb6lUEunHqJA104t2/fhkDYCt6SQChMlaTuyyfURCtvl0LH28335AdwDROVSuXx48cVCgWGYdOmTeNwOAihuLi4pKSkAQMGhIWF6bJduXLl4cOH06dPd3d3P336dElJCUmS8+bNY7FYrfwtAADmRRBGpgMxRBJasz1y3KK8DXOEJEGm/1XU+lEQIaRVERnHipDBMaxWq6dNm9a7d+8FCxYMGDBg9erVCKHbt29XVVV169ZtxowZumxZWVmFhYXBwcHvvvvuzp07O3XqtHTp0vLycl1+AIBF6R05KKa0ul7izVJFz169zFIfS/M2BEK1VKsSqc21dYVApZHXnrVduHCBTqf7+PgghP766y8Gg4EQun79+qhRo+Li4vRPpTh58uSECRNKS0vT0tJmz57t7e2NEGIymY8fPzbDdwAAmNU7Y8emEZwDKSVakkQIyTXabffy/CN6BgYGmrtqFuFtGBqlcShUNkVTbZ4xBBqXSmXVzvyRJHnq1Kk5c+ZERkYuW7bM2toaIaTrCB48ePC9997TZZs4caK1tXVMTMzUqVMdHR11iQ8ePGjXrl2rfwMAgJlRKJQL16O/2rRh3KkTSKOhMBgL3v9o4ZKl5q6XpXgbeoQYBfMd64Iwc2wax3zH1dn02LFj169fn5SUNH/+/M6dO4vFYoSQr69vcnJySkrK9OnTddl0Xcbo6OjIyEhdilKp/Oeff4YPH97a3wEA8AZgs9mbvtr+4Fnmg8zcxJTnS97/ANbWtZq3oUeIEHLsymc7MwRPJYSm9S5BxWmYbXsrrhtTn5KZmSkUClevXr169ers7OzevXvHxcXpHlW/b9++0aNH29vbp6enBwQEIIQyMjIKCwv79eun++yVK1coFMqQIUNycnLc3NxoNFqrfREAAHgDEQSB463RW3tLAiFCiOvB4nqYeb3ljBkz7OzsLly4gBDy8fHx9/dv37697q1z585t376dIIhTp059+umnCKHo6OiQkBAHBwd9hnfeeYdOpx87dkyXAQAALJBWq93z80+/7foBadVahEUOHbZh639100wt5O0JhG+CyMjI2bNnI4QIgti9e/fkyZM9PDx0b1VVVXXt2nXv3r1Tp07VpcTExOjHRRFCKpWqR48e9+/fDwwMxDBzjPMCAMAb4KPFC8mUO0cHe7OoFBKh0+kJw/v3uZlwn06nt9AWIRCa0qZNm06ePBkVFcVisQYOHBgcHKx/68KFC6dOnRo0aJCXl5cuZcyYMZ07d9Zn+Prrrw8fPlxVVTV+/PjWrjcAALwZcnNzH8dFHxlWs1wWQ2h8gGOutODI4UNz5s5roY1CIDQlGo2m7/DVExERERERYZgyefJkw5f29vYfffRRC1YOAADeeImJib2d699kp58L91J0VMsFwrdh1SgAAIC3A47jDW+zoyVICrUFu20QCAEAALwpevbsGV0oqRcKrxZKI4eParmNmiYQSqXS+Pj4Gzdu1Et/+vTpjz/++Pfff6vVZrvzCwAAgLbC2dl55ORpK2KyKqpVCCGVltj9pDgdtx4/YULLbdQEgfDmzZt2dnbTpk0bPXq0YfqZM2f69++fnZ39ww8/DB8+HB4yCQAA4KU2bP1q9vrtyx9Wjbnw7N3oAv6QqReuR7foBYUmGHWNiIgQCARpaWn6a8N11q1b9+23386aNUupVAYHB1+9enXo0KGvvzkAAABvt3fGjntn7LhW25wJYiyHw9E9achQYWHh48ePx44dixBiMBjDhw+/fPny628LAAAAMK2WWodTXFzM5XKtrKx0L11cXFJSUhrLLBQK9+/ff/36dd1LR0fHOXPmNJZZo9Go1WoqlWppY60EQbzyVKtarYZp2mbR7W3Yac0Ce+wVwE5rLt0ea/pdRygUykuHVVsqEJIkWa+iL4hbWq1WLBYLhULdSwaDQRCNPlyQ+JelBUKSJF+wW15Mt8dMW5+3m/4wM3dF2hLYY68Adlpz6fZY0wNhUyYXWyoQuri4SCQSmUymGzUtLS11cXFpLLO9vf2HH37YvXv3ppSsC+8MBqN1bsb65qBQKLqnG74ClUr1yp+1TLofG+y0ZrGQwyw1NXXNV98mp6Q6OTkvmD5h1rvTXueeiBay00xIo9EwGAzT3oeypWKJm5tbcHDwxYsXEUIajebKlSuDBw9uoW0BAEDr2H/oaL+pi046T3/+3sXY3ls+OhQ/+J3JljY69fYxQY9QIBAsWbJEKBQqlcopU6Y4Ojru2rULw7B169Z98MEHKSkpd+/etbOz0z2NCAAA2ii5XP7pxm0Vy2MQnY0QQg4+ogk7E098/PeJk5MnTTR37cCrM0EgZLFYuttmLlq0CCGkX0E6ffp0Pz+/a9euTZo0afr06S3xkMkzZ85kZWWZvNg3UFxcnK+vr7lrAYBFS0hIUAf0r4mC/xJ3effI2b0QCNs0UwbChrp169atW7fX34RRCxYsiIqK0i+xebuFhISMG9d6V9UAABqqrq7WMnj1U5lWEqnMHNUBJtOGnz4xdOhQuEIfANBq2rdvz8jeUS+RmhXXJ6KDWeoDTMWyFl4CAMAr8/Dw6NXOi3ntG0T+e8FDbpLD7Z8/XLLArPUCr6sN9wgBAKCVHdu7+7P1Xx7e0Q13CSZFJd523D/P/WVra2vueoHXAoEQAACaisFgfPfV5q+/XJ+bm+vo6MjjNZgyBG0QBEIAAGgeKpXq5+dn7loAk4E5QgAAABYNAiEAAACLBoEQAACARYNACAAAwKJBIAQAAGDRIBACAACwaBAIAQAAWDQIhAAAACwaBEIAAAAWDQIhAAAAiwaBEAAAgEWDQAgAAMCiQSAEAABg0SAQAgAAsGgQCAEAAFg0CIQAAAAsGgRCAAAAFg0CIQAAAIsGgRAAAIBFg0AIAADAokEgBAAAYNEgEAIAALBoEAgBAABYNAiEAAAALBoEQgAAABaNau4KAAAAaKskEklqaiqTyQwODqbT6eauziuCQAgAAKDZCIJYtXHrH8dOkT7dMLWcWvBox4ZVM6ZNNne9XgUEQgAAAM22etO2XUlVso/jEE5BCCG5+KOvZzja2QwZMtjcVWs2mCMEAADQPARB7D18TDZmc00URAixrAQTv1/z3+/NWq9XBIEQAABA8wgEAmTtgvC6Y4oOvkUlJWaq0WuBQAgAAKB5OBwOUV1VP1Utp1Pb5HQbBEIAAADNw2KxfF0cUE6iYSLj9t5J74w0V5VeR5uM3gAAAMzr8J4fBoyZXNZ5ljJ4KFLKrB7+FSB6tGHPGXPX61VAjxAAAECz+fr6pt2L3dgJG3R/y9jsPbumdbkX/Q+LxTJ3vV4F9AgBAC9XWVl58tTp1Ky89gE+kyZOsLKyMneNgPmx2ezPPv7PZx+bux6vDXqEAICXOH7qTGifoe/fEH8r7bzsSllQt/7/XL1mkpKVSuV/v9zUv2vnrqHBc6ZMfPbsmUmKBaBZoEcIAHiRoqKi91dtLv/gGmJwEUJKNLKk++w5HwxPuxvN5/Nfp2SZTDa4d4+RDpRfutozqQ4PSgpnjBqy+YefR4wcZaK6A9Ak0CMEALzI36fOVHWdq4uCNbh24g6TLl2+/Jol/7Dz6zGOlHmhzlw6lYpjXV35ewcHfLH8Q5IkX7NkAJoFAiEA4EVyCkvUfI96iXJrr7zC4tcs+drF86N9bA1TbJg0Lx4jKyvrNUsGoFkgEAIAXiTI15NRmVEvkSNID/Dxes2SlSolk0qpl8ik4AqF4jVLBqBZIBACAF5k8oTx/MSDSGRw66zKXOun54YPH/6aJXeK6HqnUGiYoiHIlHKxv7//a5YMQLPAYhkAwIvY2tr+9duuGUvGS/wjxTYB1pWp/Ny4vw//zmazX7PklavWjhvc35nLCLHnIYSq1dpNd/Nmzl/AYDBMUXEAmgoCIQDgJfr17ZN+/9bNmzczs7IDA0b177+dRqO9frHe3t6Hz176eMlCQcIzHoNaodB+sPL/Fixe8volA9AsEAgBAC/HZDKHDRtm8mJDQkIux8SpVCqxWGxvb2/y8gFoCpgjBACYGZ1OhygIzAgCIQAAAIsGgRAAAIBFgzlCABoVdf36ub+PVZSVhkd0W7j0/de8oxgA4M0EPUIAjCBJ8v35c//3f8t6Vzycx65E0X/1j+h4LyHB3PUym1uxse9Nmzy4Z9eFM6ffv3/f3NUBwJSgRwiAEcf/OobnJH/fz0f3MtCO29edv3TurHtP0zAMM2/dWt/6zz+9d/HkB6GOXh2tMgTZn8yaPGbOwo8/+8Lc9QLANKBHCIARpw7/OSvQzjDFncfyZONpaWnmqpK5JCcnx5478ctA/3AnK2sGrYsLf+/ggL9+/yUvL8/cVQPANCAQAmCEUCiwZdHrJdoxqAKBwCz1MaNL58+N8+Qa9oKpODbag3f1yhWz1QkAk4JACIARAUHtUsol9RJTBLKAgACz1MeMpGIRj1Z/DoVHwyRikVnqA4DJQSAEbZ5cLj99+vT2b747efKkTCYzSZlLV6zc+bi0Uq7SpxxNK/EOCXd0dDRJ+W1I+46dHwmV9RIfirRhHTqapT4AmBwEQtC2xd6KC+jSZ9aB+5+l2s4+9DAwou+1qBuvX2xISMi6nT/Mi4wRk2cAACAASURBVM77LD7/q6TCqZefp9mH7Dlw6PVLbnPGjhsXJ9TeLqh9TMTV7IoMDT0yMtKMtQLAhGDVKGjDRCLRlPnvlyw6h6ydEUIyhGR9lsxYOjLl9nU7O7uXfvzFBg0eMiI59enTp5WVlWvbt3dycjJFldseOp1++p9rHy1877vLz7ys2VlCWWCHzicv/oLjcBoN3hIQCEEbduHiRVH4RF0UrMFzEEXMOnXm7IL35r1++TQarWNHGABEbm5uJy7+IxKJ8vLyfHx8uFyuuWsEgClBIARtWFZeodzWt16i0tbvefZjs9Tn7WZtbR0WFmbuWgBgejC4AdowHw9XpjCnXiJdkOXv5WaO6gAA2iQIhKANGzVypPWj40hSVpskreQnHpwwbqz5KgUAaGNgaBS0YXw+/8gv389cOkYYOlbu2I5V/oz/5NTvP26Hh9sBAJoOAiFo2yIH9H+eGHvx4sUnzzLbDwga8cdNHo9n7koBANoSCISgzeNwOJMnT55s7mq8CfLz8zd//UPSk6d2tnbzpo6dNnmSuWsEQBsAc4QAvCUu/XOly7AJv6He98f8eiX8/5b+cWPQmEkEQZi7XgC86SAQAvA20Gq1C/7zWfmic2TYKMRzRK7tqiZ+dw95HTh0xNxVA+BNB4EQgLfBkydP1O7hiFvnfjqSrnMOnb5orioB0FZAIATgbSCVSrVMfv1UNl8srv8MDQBAPRAI2ySCIH7a83vEwJG+HXqMmjrn8WNT3kglLy/v+PHjR48ezcjIMGGxoEUFBQVRchPrJWLZCREdQs1SHwDaEFg12vZotdo+w955yusgGfUL4tln5z28O+vD7SsXvTd7xmuWTJLkqo9XxFw6G+nKxRH5y+bqoG69d/36B5UKx8mbzsHBITKi/dnr3ygGLkcYjhBCZRkO17Z8fu2suasGwJsOeoRtz59HjiazQyWjNiJrZ4RTkXdE5eKzX3y5XS6Xv2bJ//v+u8o7/xwdHrgk3HVRuNvBIQH87KRNa1aZpNqgpR3Y/cN7blX2O7o7HF3g9Nv44NOLLx353cPDw9z1As2gVqsLCgpgrW8rw0iSNHcdUI8ePb7//vvu3bu/NGdSUtL1K//IZdKe/QYMGTKkFer2Bho9fd6FgKWM7DtW9/4kq6tIp8DKEett7x84/fmUvn37Gv2IRCJpymXm3du3O9DfnUOj6FO0JDnmwrPHGTmmqnxbQRCEXC7ncDjmrkizKRSK9PR0BwcHZ2fnl+c2qSYeZsCQfqeVlJS89+EniU+f4XxXoiJnwshhO7esb4tHYEuTyWRsNhvDMBOW2WaGvLRa7eI5swqf3BvlyrGmYAevnNy+yeb4uYt8foMFAm+76mo5/8iyKQ7KZf0d+EyblHLBygOTS+xDXr9HqFIqDKMgQoiCYUwcqVQqOp3+moWD1sFkMuEZEW2OQqHoPWxs9qD15LAhCCFEknvjfkuZNCPm0mlzV80itJlAuOu7b3i5j38e6BftgFfQsV4asjBX9MHyBX/u+9tofq2KkOTKq0sUaomGJBCFibPs6TwvNsOG1so11yFIMqsqO12QVSIrV2lVNArNkW0fYOsbYOOLY8YHqKtLldJ8uUKgIlQkRkEMaxrblcnzYPHp5Hi+eG23mscPhTlanR3N6ftnbFDQz69ZSZxCVWsJGqVOfarVhC4KChWipxVpBZIikUKMELJh8T2t3ELsg6zoxjsBGrlWklNdXaZUS7QIISqHwnKg87zYdJ55jjoNoX0mSM8U5lTIK9VaDYNKd+E4Bdr5e1t7YMjI2SVJkNJChaxArqxSE2oSp2EMPo3jzuK6Mo1lbw2lsvLUyucFkmKZSoZjmC3LxtvaM8Q+iEVlGs2vkmgkOdWKCpVapkUYovOoLAc6z5tNZVGM5m9pCo0yrfJ5VlVepUJAEASHxnblOQfbBbhyjXdeSS0pyZdXFymUIjWpRTgdY9rRue4sthOjlWuulycufCZIL5KUKjQKCk5xYNv58r2CbQNoFOMNi0KgkubJ5RUqrYLAcES3orKdmTxPFk6v8ys7cuyvkoARZMi/o1wYpuqzMHV/dFJSUufOnU1Yf5m6+mlFWq6oQCAXIoSsGDw3nkuofbAdy8Zofq2KkObJZcU1DSmVhTPt6FxPFtPWPGfGBEkWSIucKU7WTCsTFttmAuHRg/v39nLe5029Yf/vAeRhh5Bq4cUVw/0GDvcdxKGxEUKIRJVPxaV3hVXPpITGyKgv24nhGMF36m5D47bSd88W5Z1Nv3Qj95ZQIWr4rhWD19+j19jAEQE2NYFNUakquS0ofyBSVqkb5qcw8NH80Z5hTIRK9YlMKmWAt0NeXp6Xl9frVHXMxEn74i8sDHfVp5x4XtZ36KAz6ZcuZ11PrUgnUf1dimN4uEPIcL9Bg7366doCUkuWPxCVJgjFWdUk0eBfgCGuB8spwsaxK5/CaKUp6uTytLMZl2/l35Gpqxu+68C2H+jVZ1zgSH1zLCtSFMVVVj4SaaqNTNXQuFT7DlbOvWw5LsbDj8mJlZLzmVeuZEdnV+UaqQ9O7erSaaTfkN7u3XEMQwhplURpgrDsXpW0wMggAYZj1n5sp2429h2tMUprhHQSkQlFSecy/rlblKTSqhpm8LByG+I9YIz/UNt/m2NRpqwkXih4KtYqjfwLGDY0h8585542rdYcl8rKz6ZfupoTUyora/guk8rs7dZ1TMDwTk41fXG1VFNyR1iWWCUvUzbMj1MxfhDXuYetbUjNSeStxMfVPsPrZRN693346JFJAqGG0N7Mi7uQefVhabKW1DbMEGTrP8w30rAhFaRISu4IXtCQOnThO/dovYY0R5R/Jv2iriGlU+ib+n7e0y3CVIW3mTnCzkF+Z0cErAijlTGN/HS5dM60duOHaAcXXa6sLjVy5NWD03HXPrbugx2ozBY8Nc4TF34ds+tR1dOmdCB6uEYs9JtFxNHK74uMxI8GGGS2LXmegWpaxv8mFb6z9pvG5k2bOHmjUqlmThpPFGYOdWHRcCyqQlHc1Y3Vx1Gsevm1aPZsu7mh0yIquxZcLTcawuuhcijukQ6u/exwagu2xSkVz395sO9hWfJLc+IYPti7/2zXaZJrKkGqpEHEbwBDdqFWXqOcWrR3IlNXH3r694ln5xUaxUsze1q5L2g/yy/bvyCqQlNtpLGrh2FD8xzq6NTNxlQdXKOH2Z2ixD0PDmRW5bz043QKfWzA8Im8ceWXxeIcI6cs9WA45hjB9xrpRLdqwba4Ui784/Ghy1nXNcTLd2mIfdDidnOtH9oVxwkI9csXvLCdGU4Drd0iHD/6bM2P8q4ofKThu8yrO/4Y5zN9+vRXrz1CBEleyb6x9/HhEmMhvJ6ahpQYXHSpyQ1pb1v3wQ4tOsaQJy7c8/DArfw7hifiHZ3Cvh+8xVSbaDM9Qi6XJ1Sou4iol4wFQqqUpvmbmiEuamJphIooiKoovVflN8HFvoO1SWuKEEJqQnMw+djBJ8cJRDSllcERRnnAyL8gpBFNPcNVYj7F2AdcdM+WOIcjeWKpdE14+GtVGiE6nf7X2Qu3bt2KuX6tglZV7SdUa4TqJkRBhBC1glZ9AGVWN/VfoJFpc86XlN4V+E9xs/Yz/YoAmbr6p6Q/LmRcbdiLNQonKNgtRlZpOYVsWj+VRJXJYkGqxD3S3mOoY0uE85t5t79P/KVSLmxifmohQ3RbnaMsfXlWhBBCSqE6/VhhSbwgYKobuwV6txVywTcJP8UVJDQxP0VFIS7TMwTFGNmknUkSZGmCsOKRyGukk2sfO5OPV5OIPP384q8PDxodSDCK+pxZcl0qNdaFMqq6RJl9uEz0UD4xctifW38WGgZCQsN7em7AdyebW21DOaL8HXd/TC5Pa2J+qpSmPkHNEDWnIb1RUZpY5Tfexb5jizSkB54cO5JyQk1o6r3lyDblo9baTI/wj19/vfnrzk29vJNs8GImJqShBExb5UBHGAoXdBiXN46hrX9izrSjW/txmLY0jIqpJVppgVycU01q639fhy58/0muJhymyxMXbrq1I12YVS9dgzjyLOmEbv19PXzkakWOKO9hWbJYKbFSW03JnuIj8a2Xn0LHrfw4HBcmlY0TalJephRlylTi+gcEhay6/uzbEjfrXb/+0ViVmrWcT0tqf3906EjKCaLusYFjWJBtQJCdvwPbHpFkWXXF04q0DGE2RmK9y3oPKRxGJeufFXJcmbp5WQxDSpFamieX5MvrByYMuQ+w9xrpZMJhuuTytE1xXzccxbJl2XRybO9h5c6g0iVKabYo92FpslyjcJI7Tc2e5iR3qpefyqZY+3HYzgwKA9cqiOpSpShDppHX7xlwXJhBsz1M2DWUaxTf3tv9T1ZU/frglFD74EBbP1uWjYbQFEtLn5Sn5osLqSRlaMGwXuW964cQDPE82VwPFsOaSpJIKVRLcqplxfU7lzgV8x7t7Nr3dWOJ4WEWmx+//c6uhmMJLlynDo6hrlwXGoVapRClC7OelKWqCbWPxHdKzmQrVf3GlG5FtfbnsBwYOA3TVBOyYoU4U6ZV1e9s8QM4gTM8TNg1FMiFW+K/TSx+WC+dSWWEO4T62XhbMXgqrSpfXPSwLLmiupKpZY7NHRcurH8yilEwKx82141F41FIDamoVIuyZIrK+uPDVBbldOmZX3IzqwZ9imw9UHGq7YU1KyYPXvN/K175K5x4dn73g30Nx6J9rD3bO7Rz4jjgGF4hFzyrzEitfE6QRLggfFzeeCMNqT3d2ofDtPu3IS2Ui7ONNaSd+f6TXCnMFm9IOTR2H48eH3Seb8Uw2RLlNhMIEULrPvu/a6f/HuLGZVKwmDK5rX/ojj0/Pzj53Dq1zv0VSYzMds6MHN/dw9+lXgmaam3pPWFhdKVKVGfsjuXIaDfP0yQN2c2821/d+b5aXWduRkIE5GvGVmq7oqRznzk+37ZhjS5dS2rv3HmoOIMYqjqbLmeVW/VmRg7pjtPqHlUkqsqQFt2sFKRI6iaT3qOdPAY6NlarpgdCgVy4/tb2x2VPDRM5NPbEoDFjAoY1PAvLryx6sj/TqqDOTLsa1xR4546a2N/Wpf6aXpVIXRIvLIqtrBdOrHzYwXM9TbKO5nja2d0P9tYbyOrm2nlq8LjOzh3wuquulVrVrav3KNc5VG2dTRfxCt362fWK7ILhdfKTWlKQIim4USGpO3ZHoeMB09xMclKcJy5cE7M1V5RvmGjHspnabvwI30ENf/zP8jIzD5ZYVdbZtJwiF7QrGzNhEJtfv6snL1MWxwlK7gjrjd3ZhVsFTnd/nTNC3WFGkMTPD/YdTz1j2BfHMWygV7+JQWNC7APrfUqqlN06ncRJ4NeL4jm22V1Gh7Tr4FcvPBMqovyRqDCqot7YHY1HDZ7tYZLRhSflqetjv6rXF/ewcpseMmGQV19m3aVJJCIfpDytOCplS7mG6SK6SNNJPvKdATRW/aNami8viqksf1B/EkTmUrUl+vuCgjw/f/+Nn3zQq2fPV6u/QqP46s4PN3JvGSbSKfRRfkPGB470sq5/aWmFVHD3SLJ1qm2d74WR2S6ZA8Z192zYkMq1ZfeqCm5UtHJD2s4ucFrI+I427a25Vqa9fKItBUKEUG5ubmxsrFQi6duvX5B3cOq+PFGmzDBDFi/rnOfZMmaZLctmS7/VDX91CCFCTRREVRRcLzecBKYw8eBZHjbtXv0Ug0Tk/idH9z0+avj7V5E2mer3yrW9al6n3Vigufbrd9t1r0puCzJPFRueW8kp8n/cLifaJ5IYOa3d+MWd5uLG/t+iTFnm30X1GgLHCL7/FDejY3RNDIQZwuzPozeXV1foU3AMG+M/fEGHmUZPvhQCVcpvudUldarxxObJRfeLYrrI08r9qwFr3Xj1f0UIIU21NvdSafFtgWHvkG5NC5nvyXVnvbSejVETmp0JP13KvGaY6GXtsaLrEv0qhjpIlHOxtOB6uWFaFb3qgseFFP5TCkZ512eC5omipFzQtWP7ESNG4HhtkKh4LM4+XVxnNhRDHoMcvEY4vU6/6l7xg/Wx/zUci6PhtHdDJ74bMpFJNdK+SPPlKb/nGo4TEIi863jnuus1OUUe7hj6Zb8vrBlG1tcpherss8UVj8SGiRwXZrv5nq+8AkUikeBMyobY7QnFSYbpYQ4hK7ot8eN7N/wIoSHTjxaWJ1UZJpawS856nM3l5rCozNW9Pu7r0aPhB0mCLL0jzLlQanhGhVEwv4muzj2ML4BsokuZ13Ym/GQ4FsehsRd0mDU2cDgFMzITJkiRPDuYb7ioR4Opo11uxjrHajB1pFefL3ouZ1CM7NLqYkXmyeJ6LRg/gBs81+N1ptzKqys+j/4yo25Hqq9Hzw+7zHfiGDlX1lRrU/fliTLqVCObl3XO41wpq9SWZbOl36oQ+6CGHyTURMGNioJrrdGQ2rNsP4xYOMCzN2qZ6whbNhDGxcVdvXrV1dV1xowZL7gytOmBECGk0WgUCgVVSX+6J1debtAEU7EY7xtXrK6SWM03YlDoa3uv7Oth/KyqukT57M98WVHtMBGGY34TXZx72hrN/2JqQrP9zo9Xsm8YJlZlMVJcftWg2i/O+uer/432mjdnNiJR9vmSwhsVdfI7C3Y7/iKh1fb2+nn0XNN7pdFfEaEh8y6XFtyoMIwl1n6cdu95NvwVNSUQJhQnrY/9r+EpmAPbfk2vFR2NhhCEpHnyp7/nqiUGQ7VM8rTX6Xvce/oEPsN664DVofbBRksQZcqeHy5QCmtjCYWOB8320C+laxapSrY2dltSSe1tVzGETWk3dmGHWUaXthMa8vmhgopHdZby5nvk7rPbr6DUHhXFuV7p+X2s8u84FydcOXnYcF2uRqHNOllcllinEXfobB0wzf3VpgwvZF79JuEnw76sD99rXe9PfPnGFwMLnkrSDuYTBuOEBE97wGN/Oqv2JrFuPJcdkRuMno4ghCoeijKOFxnGEhqPGrrAi+vxKqcjWWU5m+7tNFzaSsOpizrOnhQ81uj5nKZam/J7rjjboG+NoSfej/+2Oa7BaqqEY9j7nRdMCh5jdIsqkfr5kcKq51LDRPeBDt6jXuV0hETkH48OH0g+ZpjYySlsVa8Vjc1IFccJsk4VG3bslLbyX1z2lDJrZ2pD7IO2DVjDZxgbLSBR9rWi4qtCw1jCdmKELPR6tdORDGHWZzc2VcgF+hQOjb2y27JB3v2M5ldUqp7+mmu4tBWjoJs+N69YXTFsSFf3+ri/Zy+jJVSXKp/9mS8rrNOQ+k5wcellsoZ0kHe/j7su5dJrGtKWCISUDRs2mLA4Q4cOHZo/f37Pnj2joqJ27do1f/58wxNqQ7/99tuIESPc3d1fXGBqauq4mQvWfvXNub9iPNO9KYra5p5pRw9b6tO9T4cccV6+uFCXqCW10Xm3bZjWwXYBDUujcalO3WxUYk3tv5BEghQJIpG1f/NGV+QaxRfRm28V3KktHKcuj1gcvfN6KWZPOv97MpV11zXu+5+/20HFqc8PF5bE1x6sCENeI5y6zgqx59slFN3Xr2/OFRc8LE3u69GjYSzEcIwfyOV5soRpUkJdc8gqhWpBitSuPY9SdzWsSqViMF40XnE5K2pT3A6lwXRCV5dOOwdt8rb2NJpfmCZN+S3XcGki14PV4X2/iM5hTytSy6srdYkKrfJ6boyfjY+HlVvDQpi2dKeuNrIihaKiZruklqx4KGbwaVy35jXEFXLBx9fXplQ8q60PnbOx72cTgkZTcCMn1xqFNuW3XGFq7TkHTsX8p7p1nxiGU/EHpU/0Z6M8vojtxi0OWFXp0OHajg+WLZhr8BHcLsyKwadVPZOS/waj6mKlOLvaLswKpzZvjHH/k6O77v9uOC873Hfg1v5rHNh2RvOX3BE+P1xAGjSgtiG8jsv8w4La3St+IFHVxAaJShqVG9vRKczeWDlsZ6Z9J2txVrW+T0moiPIHIp4ni2nXvIY4uyr3k5sbiqQl+hRHtv3XAzf29+xttM1SVqmTf8qWFtQ2oFQOpd1crx4jOohUkrTKdF0iiVBCcZJcI49w6djwck8Kk+LYhY8wJMqq7dCIs6sVlSrbUF69Ye0X05La7Xd3nXh2Tp+CIWx2+6mf9/xI3wTXQaKci6W5F0oNz0Sde9h0Xhjk5+51p+i+UlsTXcqrK+MKEnq6deXRufULwRDVETl3tKt6Vjv3rJZpKx6K+IHc5s4UJJU8/r8bG0TK2l6+v43Pd4O3dHA0fuN1aaEi+adswzNRpi09bKlPj34d6zWkN/PjrBlW7eyMDLDpGlK1RFP7rySRMEVCkojf/IZ01c0vY/PrNKQrui5Z1HE23aABVKvVNBqtbQRCkiSnTJny9ddfL1myZMqUKd98842Pj09QkJH+NWpaIExJSYmcODtt6PbAfh9/adOFh9XuF2t/TtgSH6YdnU6hD/TuqyG1j8tSaqqByPjCRAxDRrs1GI7ZtbeisilVz2X6o1m3IMWmHbeJO7pKKfokav2T8hR9Cp9hvX3ghn6ePSePG53y9w/Cc99w8u5yY/4XXnX3/JF9ttZ2KX/kCZJrD1YKA283x9O5hw3CkJ+NdzfXzvFFifqeWVl1+Z2ixD4ePdg0I7GB5cCwD7cWPpNqZP/+iqSaisdi23Y8Gqf2V/TiQHgs9fR393YTZG3HYlLwmNW9VjR2mXZ5UlXagXx99EUIOXS2DpnvReNQODT2MJ/IElm5frm8htBG58Y5cRz9bXwaFoXTcIdO1oSSlOT+2y0gkeCpBKfhVj7sxipcT4Gk6D9XV+VLCvUp7jzX7wZvae9gvCeqEmuSf86R5Nb2felW1NDFPrYhPAxh4Y4hwXb+1zNi9Dfi5eAFVpTnFbzx5IMLkwb1sLGpM/LGdWfxA7mCFIm+Z6YUqKvSpHZhVk2cbyNI8of7ew6n1K4PxDF8WZf3lnSaSzUWxRFC+dfKs08XGzbB7gMdAqa64TTclskf6jvguSCzWFrTKVFolNdzYtrZBxq9bp3Kojh24csrVPohbt2VoGxHBtu5qUtJk8vTVkatq1LWdq9D7YO/G/yl0RMghFB1qTL5p2zDNSNsJ0bYMh+eJ4uC4T3cIhzYtgnFSfrTgqcVacWysl7uXY3cfQJD1v4cjitTmCLRzzLIihXSAoV9mFUTV2Aptap1Mf+9kRurT2FSGWt7r5wQNMpoO0ASZObfRUWxlbW1wDG/8a5eI5wwHHPlOkd69UkqeaS/dFislETnxXV16WTT4FFZKpWK58Bx6GwtyZXrY5JWSVQkiXje7Kb3C6Pz4tbGfKXQ1vbt+nr0/O+AtQ23qCPKkD3dk2N4LmvtxwlbqmtIaQO9+2pJ4kltQ4ruFN1HCBmdYsBwzDa0fkMqzpSpJBqb4KY2pCKleGXUOn3TjfQNaYMhvbYUCAsKCtasWbNv3z4ajYbj+LNnz3JyckaMGGE0c1MC4YzF/3nSb32EQ/COvEKWwUCEYxd+u7me+hYHQ1gX5w7OHIf4wkT9Sf3D0mSxStLNpbPRfcfzYrNc6OWPq/Rz9dICubxUZRdm9dIzyrLqiuXX1hheI+XOc/1+yFZdo89ms6dPGr9oxqTREQGrPljw4eL5XDrv6S+5YoNZAboVtf1SH8MZfnuW7UCvPoklD/W/IqFCFJsf39Otq9GJOiqb4tiFX+dXpCAqHor5ARy6Vc2QYGOBkETkrw8P/vH4kD4Fx7APIxbNDZve2HFWFFuZcbwIGSyz8Bjs4DfBVd/iUHBKX48eCGGP/l1xQyIyruAui8YyGpkwDLMJ5tJ41Ko0qf5XVPVcqlURNoHclw5wpQuzVlxbUyGvbZLaOwR/O+hLR47xsSxFperJT9mGY0FsJ0bY+75s59r9485z/XHTfjLYjorVnOQysVIbymNJAWdkmLenZ/1eMoNPs+9gVfVMqv73dEQl0Qieim1DeS+d7NEQ2q3x317IvKpPYVIZ6/t8OtJvsPEPkCjrTHHBtdp5TQzH/Ce7uQ+01+8rBoUxyLt/WXV5hjD7361oonJveVq7G+3iYxTMPtya0JC1o5QkqngspnGoPM+Xd80TipI+v7nJcFB9gGfvrf1XG+9IISTJlSfvzjYcVLf257Rf4q0/XBFCgbb+ofbBcQV31UTNUZ0pzE4XZPf16GH05IDtxLAJ5lYm156OKCpUokyZXbhV/RVnDcjU1Z/d2JhYUrtA1IZpvSNyY1eXTkbzExry+cH8svu1UZ/CwNu95+XQuXbwk0vnDPEZ8EyQoe8iV2vkUbmx4Y6h9Y5M3W+TQscdOvMVlarqYqV+KxUPxRxXJsvx5WtPzmf8sy3+e8Mr5ae0G/dp9w8bu99NZbI49Y88QmVwLtugIe3sHO7EdbxTlKg/HXlYlixWibu5dGmsIeW6swTJtacj0vxmNKQrrq/J/PdwRQh5WLl9P2SL0bPnlgiELTVHeO/evUGDBonFNf2eL7/88tGjR8ePHzea2c/Pr2fPnvp7BDs6On700Uf183TqVbTy7h9ZOQGK2ibsdN7Vz36aybMyEh7uFidtTfhWoanNHOnR55OI9xv+ivLz898dN2asZ3C/oM9wvLYoK3+23wznF5zU50sKv4j9stygCQ608dvSZ1VjtxxTizXP9xbJS2vPgpn29IB5Lkbv+iZTV2+4vf1xRZ3zo219V/taexstnNCQWcdKqp7WhlgKE/ef6cLzZaFG5ggJkvg+ac/lnNo1+jSc9nm3j/q4NTpZW3RdUHS9zoiu52gHx57Gl0peyr72w4PfDDua04LGzW0/3ej9zBBCwhRp9rEyw6WM9p2tvCY4vOBX9Lj86Yb4HYZLS3q5dv2823+MzqoihKqLlen7inS3fNPhejEDZrtSWPX/y5PnLb0aNDXM/ywbK9AnKoXo+8i1HfyMT5pqq4nnB4pkebVjfTQeJXCeK8u50YZMoVFsvvuNYRPMo3M39/68na2RMSiEEEmQOSfKuoX5QgAAIABJREFUKh8YjOjScN9pTvx2RkIOich9T48eTTtVmxnDP+g4f5Rvo3erL71dlX+hzqyz6yBb10EvmuyJzo/7OvF/hktLxvqPWBJufJEXQkicXp15uMRwaYlNGNdnspPRWdUsUc6qW1uFitpZ2DD7dht7fVZz95MGlAL1871FysrasT62CyNgriuN1+jpSJVS9EXslixRjj7FheO0tc/qxu76plUSmX+WiDNrDzkqhxI415XtZuS/rCY0OxN/upFfu3qTSWWs7r6im3PtzWLq/DZJlH+xojSu9vtiOOY90dGu04tmzY89O703+Yj+vB9D2KLwWRMCRjeWvyJRnHu63HBe06kv32O4vdHfZWLJw813vzG8n8MA916fdP2AhhsftpUVKNP3FRrekskqgO337ksa0lW3tpQZrNELsvH/ss8XjTWkzZ0jpNFoFMpLzkdbqkdYUlKyd+/eVatqnuBz48YNgUAwadIko5l//vnn4OBgJycnFovFYrHc3NzCw8Pxur7f/Zukx4IRIomjRoMQIjH0k5PD6Rsbli+cxWAw8AY8rNw6OYbFFSbo571yxHnpoqy+7j3oVLphzpkTx33izxzhTeViqXIslEA1w0FKgVqaJbcNs6IyKA3LfybM/Dx2s8DgJ9rFucO2fmt4DG7DzDiOqyo1qXsKDH+iHHdmu4XuTD7daH4GlRHp2SdHnK8f8VNoldH5caH2QS4854b5KVTcLoynlmr1U56khhQ+lrKdWBxnplqtZjKZhvk1pGbL3W8Nf6JsGuvLPl/0cIswWh8MYblny0tiaxeUYxQs4F1Xx658o/lxHA+09ffle90uuqc/UU2uTBMoq3q4daHgRnYp24nJ82ZVPZXpFw5UFyvlxSq7MCsK1Uj+28X3NtzeYTgWNMxn4Bc9/sOgGt+lslzF871F+jFkhJBNO27QXDcqi9ows6uDzckfv87v8AOfmsrAamI/lYUeip52c+1iwzLyrSkMin1Hq+pilX7Kk1CRwicyK18O08ZIlaRq2apbXz42GFS3Y9nujNwUaOtntP6kBmUdLhE8qV0YQmVRgt5z5wcaP+RwHO/sFM6hce6XPKo5JBB5tySJguMdncKM5ud5sVn2DGFqbddcki3XygnbYJ7R/KczLn2f9IvW4FxnTui0hR1mGflv4TiO48InsozDxYaD6k49+H5TXChG/gM4juN2LNu+7j3uFCVK1TVneGXVFfdKHvRx78Ghsxvmp3GoduE8caZc391US7VVT2W2IVZ0rpFtlMrLV0avNxxU97X2+nrARmeuo9H6aGXE8z+KpAaD6gwbWshiD44L02h+KoXax72HVC1LE9RMeWoIbWxhvCvPxd/GR5en3m+TH8TFaVhtoCVRVaqMwqBY+3Aalo8wbM/j/YdTT9QeEjjl024fjPEfZnyH4nhJjDDvfHntuQ6GPEY6eAx1aCy/u5VrJ8fwuKK7Bg1pfnpVVh+P+g2pDoNPsw3lCVOkWkXtTIEkS27XnkdlGvkX/NuQ1jYsXZw7bG28IdWIidLbVZoqkuvGMtaKGPfSqNlSPcKioiI3NzeRSGRlZYUQWrJkCZvN/uabb4xmbsqq0YmzF55ymBjk3fuz4hKOlvjN0f4KIQk8NvNZ4q0XfCpblPdJ1PqK6tpOW5Cd/1f91+pvaSgUCsf06nJ0WM0JuAbxS/GFalR7YTXLgR660JtpX6eHcbswYeOtrw3PkiK9+qzu9XFjZ0ni7OqUP3INm2B+AKfde14vnUMiSGLH3V0XDa4HoOG0L3otH+Rl/HFLRq4HwJDvOBdeR7phj1CskqyK3lJ/XjNyfZCdv/FqqIhnfxZU1pvXnOfJD2ww+d9AUsnj1TFbDMfNerl1Xdfn/xqbgJQWKp7uyTEcN+N5s3UTkIbZTj678OP9X+t0N9uNX9J5bmPdzYpH4ueH8g3X5jlG8AOmuTXW3SQIYsf3/9v564HqzhN8u2fY2NbuUh6du6X/6sYWIJBa8vmROtcD4HQ8aIa7XVidaxiKpaWf3tiYJ67tbnpYue0cuNHoAneEkFqqSfktV5JnMK/Jo4Yu9ua4vnwa75+sqP/e+dFw3GxswIjlXRc3drd3YZo0bV+e4UXr9uFWgTPcDccYCZLc83D/kTrzmtji9nOmhU9orBqF0RXZ50oMu5seQx29hjd68atepVz4SdS6LIPFqM4cx+2R6xteD6ejUWhTf69zYRWNSw2Z78nzqtOPTKtM/zx6c53upkO7bQPWGlnSghBCSF6ueronp968Zvsl3nTrl9/Hf/+TY4YTEBjCFnacNSN0EmpktKb0rjDjeJFhp821n53vWBfDo1utVW+N/y7KYF6TQaFvbPwOnCRBZp8pqTev6T/Z1an7y682yRHlr4xa94KGtB5llfrpLzmG13cx7entF9VvSOMKEjbF7TActxvg2XtN75VNaUg9Bjt4jax/B4xX1lI9Qh6Pd+bMGRsbmw4dOigUiuXLl69cudLXt/7NU3SaMkfYs0vHo+sW5Nt6ngrqetzONrMk2f7wewd3bfd+4W2mbZjW/T173SlM1N/holIuiM673dk53JbJRwgVFhbGnTk+0qtmcA9HCg75SIH5a1FNiqZaW55UxfOqnbX+K+3Mf+/8qJ+6QAiNDRjxWY//NLauoTypKm1fnuFYkF24Vbt5XhT6y1dSYBjW272bQqNMrqi5SRJBEjF58RiGd3AKNdLoY4gfyKUwccMF5cI0qVZO2IVY606L8sWFH19fa3i/BieO43eDt/jZeButg0qsSd6TI0qvbVaoHEr7RT5NvHLZhevU1blTbP4dfdctX1KUUJzU0y3C6AAX3Ypq195KmCLRL6JTVakrn4j5gVzd7X0Jkvhf0u9/PD5sOBa0pNPceeHvNhYFC6LKM/4uMgiayLWfnf+kRqMgQogkyc4dwuZPnxhOF/lIuXR7epm6phVQaVXXcmKcOA5GJzAwHLMPs1JXa6X/Bi1SS1Y8EuH02uU/yeVpK66trjMWZOv/zaAvjS7sRAhVlyiTf8oxvF6TaUcPe9+niVcu+9v4BNr63yq4o78w45kgI60yvZd7N7qxOSSWPZ3vz6l8ItZ33apLlVXpUtvQmuU/Co1i8+2d5zOu6D9Cw6lreq8c4Nrb+FS0lsw8WWdeE2HId7yLxyCHptSfTWMN8u73pDy1rLqmBKladi0nJsjO3+gAJk7FHTrzq4uV+plgQkWUJ4lYDnT98p+bebdXx2yVqmp/Jj1cI7YNWNvYoKsoQ5a8J0clMjg/82KHLfGhNW1hZ0en9rYs/t2iJP1Be7/kUXl1RTfXLhq1puFO47qzOM5MQbJYf9BKcuWyIoVtCE83hixUiD6L3ni36H7tR+ic7ZHrI1w6Gq2AVkmk7c8vu29wfkbFgud4OHRu0mPs+Ezr/p697hbdFyuNN6T1UJkU+058UaZMv8c01dqyug3p8bSz/73zQ51B9YARn/f8qNGG9H7dhpRETQnhTdSCl0+4ubktXbq0sLBw27ZtLi4u69ata6x/2pRA+P/t3WdAU2fbAODnZJMQskMIG9kOUBFUcCK4UVy12tZRrbW17ddh7bJDq1Zra/VtHbWut7WtVau1VesWFBe4cKLsEQg7hITs8/2IbwwJaFgmkPv6lTw9nNw9Juc+z2axWC9MTS46ul22f5nrhW39dFl7t66Piur71DBcKYzhvoOul9+q+t/cGoVWcTzvjJgp8mf70mi0dd+tez748Q+SgLTSmrRCvR+b8qhP26DFK67JyHQiWUxcc/n73+7+aT7Tc1bP6a/1mdvc0LL8f6R5f5eZ34JFA7jBz3sSbF5ODENYP4/eNBLV1MCFELouvZUnK4wW92nyRubmR6fxKMapIEbKEk1drpIbxrxckbHk7DLzJzt/tu/6ESs8XJt+tqrLU97enNdQ/vgpmMoh91zo7+rZgqUp+XRurFfMJUlGveZRNq1qqDmRnxLGDxY1VQEiM4j8SFbtg3pTvVCn1JdfraULqRq26pPUVSfzU0wHEzFinKH33iWb//PN179s34YTiJG9e5v+OfRqw8PfiiWpj/9/EYb8xrr7jnnKPDMcx3U6HZfL7dGjx8D+/UeHJsjUdaYx/QbccK74kkKr6COKaHIcIzeMiWHIfJJy7YP6hgoNJ9T1UM7Rz1K+UhkeZzVeA/PHSevdqE1XRCoz6+7+VKCtf3y/cPWk9XzNn8puwYZi3m7iPqJe54oumRq4SuSl54ou9RH1YtOa6OKlssnccLfqO3JTA5dGpqu4LnPzo1cSKxef+fy69JbpYDrZZdXQpbFe0U2OydLIdfe2FVZlPm5OwIhYyAwvUf8WzDOjEinxfoPzagsK/zem3/g4QiPRugtCrB+AMALGj3DTyB5PjsINeGVmnUGLM7u5bLu1e0PGVp3ZLXhUwPClse81+WtCCElSqx78Wmww79cMY3af50tsybT3UF6QH8s7rfiKqRnjYU3udWlmb0FPNqOJfwK6O9XNn1F9S25qxmgoV1ffkbODGdmq3HcbV5H5LtxvR3zZ5PQG4x/e3pJvPl+T5EIMn+/LCW3BhF1XCmNYUzdSD6aoyXmuRApB0JtdX9xgqkNb3Uj3t+BG+rc0758yi2dZNz9bB5Y/VcdOqM/KykpNTRUKhWPHjiWRmn10aumEeq1W6+LSsnlmDTrVZ+dWmz9AIYTGB458ve/Li2bPCau8Nz300aOlRm949Uz2+99s8akOK09vNFc6X5i72+M3JenR3Y2IEd+JfnVc4MgmP1FVpXmwu7jRIvoY8hkp9El8eltQk07kn119sVFN1JPp8cnAd5tcPQchVJtVf29XoelGhhDSuWh+8fz1IeuBqSTSveeKwR81OboPN+DFpyoLj5Wbt88wxLTur/i1bkXHqoaaD88uz6p+PNebiBFf7DHtxR7TmnwG1Kn093cWNZorjaEbHjf+cj+gITy6CC4kGvcKxrhw6/8iPVhUslyt23BTUu8V9vMf+xFC9UUNWbuLG08WxoKe8xRGPf0puMkd6nff2bf1xs/mv95wfvDHA9/xYoqtToCQsYFrn8R85SAFs36n104J/fGixgMrDUW/ZQ966Y0Fr71u8ed6jSH/UFnpxUbr77BDXM1H97VIvqzo/TNfmC/BSiPRXu8zd3zQyCYr0+pa7d2tBY3WJiWgs15nTvJPmmZb81w4Xw39NJjbDTXVyldzT/7w9xKNWUM3iUYMnePNDnp6o7o1A2749sqmv7OPmRcO9Oz3fv83mp4kgKPCY+WFJ8rNL2Alp2KX565q6uMxXy90nzIv8sUmr4C2Xpe9V1J1q9H6O+7RnMCp4tYtjXuj/PYnKSvlZjVRNtXt/f5vxnpFN3m8QqK6s7XAfCUzA9lwyPuvdM7jZSv8WN5rhn3WXKO69HJN7sFS8xYpKpvcfb5v65ZZb9CpPj+35pIkw7xwXGDi631ebnJ+F67HH/5RYnkjFeTuFje6kb4d/er45m+kWbuL5Y1vpN4JAt9R7dYuijq0RogQ4vP5ffv2DQ0NJTQzld7Ixgn1RgaDwWAwkMkt21+XTCAN9xsk19Tf+99DPULoQXXOyfyUWdNePnbuwc9X7knlqrOl8jXXJHP+b/GU6dN5PdwwImbe08BWcPpU9VWSFVJ6GYPCWDHko2G+cU1EqMNLzlTe/7nYvDuBQMKCn/cSD2q67csW3dh+Ee49LpSkmybqyjX1R3NPyjXycH6I9ThJGp/CDWPW3Hv8UE/QESNqIrgqbpFrkYaoGd1txOdx7zfZV1eXr7y/vbDimsz8DsINZ3af72fRV2c7OtklwX9IQV2RqWMMR/iN8tsXSq4EsH3dGZatZAQSQdCb1WiiLkIiuahXTUQ1taqKViWk81/1fiHlu+3fDPKnkYgIISqJMNiTdfD6A7/waO0NUvYfEvOKFIlB7P6yL6+HTft5GmuExh2JTXoJw31Z3hdLHg//qVBWHc4+jhAK5QVZp3NXLxc3f3r1nccP9RQNJaoqimqgFjOK9ZguuVQ/q0g/0J25dO+J+a8vMv/b6jvye9sKLdZMEQ3khrzg9dT5AM1h01jxvoNuVdw1rXigM+gulqRnVtwN4QVyrKqGJBpR2JdtvuIBwpGfzD9EFlpGL6uj1AVyAtbFf+nLevTLNa8RamTa7P2l+f9IzfsaaTxKj4X+Fn11tsMwbKBXNI1EvSa9afpiFsklR3JPMimuQZwAy/oEhliBDBqPUnNPbqpM0FWMfpVReoKhhF5CIhIWxyyaHp7cRBbEkfRKzb2dRY32dMSQ7xh3/yRRi6bqmxMxhHHeMVdKr5lyoXHRiaK64jB+iHXDLIVJ4key6nIer3iAGbDQmjAfpXcJvURJUkZ5RH497Ism++oaytVZvxRLUqrMH8VcvV16vuZv0VdnOzKBFP/oRvr4efpBdc7J/FQRQ2Dda2ucq42RMPPWEbby8Y2UTqZ/OeSj4U0NejDo8JKzlfd/LlY3vpH6ThJ4DxV2jukTLfIMaoQm/2QfX5/xo8WK7OH8kEHsaFSg47N50dHRbPajp0upoiL1zBVeiojSeEX2akZ1ULxX8AA/iwdzbb2uPKNWklplsSEflU0Om+3jasOUrKcqU5QvTV31oDrHvNCVwpgYPGZct0SLFk6tXnsx+2rlXoWwunE5UasNa4gb05feeGQ/bsBrHygk56rMl1xB6NEqmj6jhK3+/Rtdu3btZubN+/T8K7obFltbRIv7TAkZH+URabGcY4Gs6NKRG6IMH2LjrS0qORW9R4f+nbZPffjH58Ifz9rWIc7V6nCeYBwJb/SoxBDTwub42L5aSpM1QqOs6uylqV9ZbG3Bd+FOCU0aFTDcomrSoFOlZl7SHCByFI1uVUqSEideCFFdJuE1CKGkf+5fy85HCBl0ePXtupLUKotFvTEi1i3ZQ9SqZassaPXab9M3HWm8IisBIwzzjUsOHttDEGqRFe6UZ906mO2Z5WO+KDaO4VWiioFjIwWhHNO3wlgjVJaqSi/WSC9bLurNDnYNedG71Q9S5i5JMr5M+9a8XoUQ8nHznBY2cZhPnEULh0xdd/byRepRlqu6UTVUTq0TxLEihoRYbC2rVxkqbsgkKZaLepNoxOCZXtzu7bDjQZ1GvjztmyuSRiuyUoiU0QHxSUGjLPqeDbjhevGtnH2l4qJGVQUDZpD5Vw8eG8XyazzdFkd1BcqytGrrRb2FUezAqeJWP0iZO5xz4rv0LVY30uApoRPivGIsnsuliorUs1d4Zy1vpDWM6sB4r+D+fhZ7VjzhRho624fAM3SytUZt9CwTIULoYU3usvNfmzobTHAdrirWcEjs+AGxGqIuuzYvv7YQRzhXzX0ub7qXwrLCSiBhrt4uLgIqyYWgVeiVZWqFRGW9py63OzN4uhepPX7/Rhq9ZuO1HQcfHLHeac+P5d2N48+jcZS6htJ66d3KrAadCsOx+NL4IWVDCVY77dF4FFdvFwqThOtxVbVGXtBgvccQmUkKnu7ZllV0EULV1dXjps96qHat8e5PU9cKG44HTRerMMudP5kU1zBesIerO4lAqlHVZlVnl8hLEUJeCq9pec/x1Jb1aQOmV9TfFzPqMVytR0wNEmuxJhpMRAO5ARNELfr9PyERIoTqNPI1l74/V3TRopyAYd3Y/gEcPxaFWa9VFMtL71c91Og1FAN5bNG4qMp+VmfCybiUjCSH84qnPz9LXa2RFzRY7zHkIqCEvODduvU/m/Nv7un1GVssVvdHCHFo7DBesDtDgGGoQll9rzLLuHBlqCx0UsFkhtbygpDoRKYvncYhY0RMWa1SlWmt9xjCCJh3osB7xJOmhLaUVFG+LG2t9U57ZAIpmBvow/Kik1wUWkW+rOhBdY4BNzC0jEkFk0Nllks6YASM4UljiGgkOlHXoG+oUMsLG6z3GGL6uoS84N3SZeeewIDjv97dvyNzt/V+vyKGMJQXxHXh6A16qaLiXtUD46pp/Sr6jS0ea71lKcWNxPSlU1hkhHCNTCcvUDaxWRuV4D/Bo43LkVt4WJO77Pxa85HPRjQSNYwXLHYVMcj0WrUsuyYv7/GN9DkvhVWtkYgxfVxchFQilaBr0CtLm72RBk33IjOInW/RbRs940SIEFLrNdtu/rLv/t/mY8qfgIATBkkHDy8dTjK0oHuMxCBiPVWb9q/IfvjA29t79sI3Ro4a1dqQLaWXXv/2yibzpR2fzEvhPakw2V3Z9DTh5gj6sAMmiiwemVth6NhJ5wNf0vcc++i9TiP4Zer0d3tlKu/ZuHEu2UBJLEkcUDHAxl1bjWhcSrfJHq3I4k9OhEbH8878cHW7+bpiTxYiC0kqnMDW2DROzwgjYB5xXN8x7raMMW6pMkX52ss/pJdet/F4Vx1jbOF46y33nozhSQua5tm+WdzIgBv+uP/XjszfzCcyPQGGY32q+owuGeOia0EwBArBJ1HgOZTfjlnc5GFN7ldp67NleU8/FCGEEE/Nm1iQHGC1d+mTsYNcA6eJ2zGLm6j1mu03d+/LOmSdzpvU6hupf5LIvd+jLN7JFt223TPoI7RAIhD7efQe4hNbqawqlJU8dR0vBpU+KKbf8FH9cRVSlqmfeusmUAjiOF5K3YEfNiyeJzK8HMINRPVbft9//lrm6PFJbYncxJPpMT5oJJ3skl2Tp9ZbVq2shfkFjZ04VOQuqC9RmfecN8fNnx4808tzKL/tt+CKioplG3+uH7f8cRGBqOSGcc+eWvfm58XyUqmiovm/foRLZw0fMmDA4D5ama6h0rLOYY1EJ/okCoNnetHdWzMooMk+QgvdOP7jA0fiCM+uydNZ7aBtgYAReof0GDNxCIVIrsyuJhOedlfCELc7M2yWt7Afx/Yxxi3iSmEk+g8L4gbkywpN6/k9gYgtTEiMi+gb1lCh0TRus2oSlU32Hy8KnCJu0QBX22EY1kMQNipgmEKrzJMVGJ72TE8hUaIjI0cmDaIgikKitq5zWJ6fgAmj2GGzfbjhzPa97ZrwXDhDRQN9uN7ZNXkKreKpx/u5e48aPzgw0E9ZptIqnp576CJq4BRPv3HuJHq7tUiZM91Iqxqqi6za2Ky17kYaNsvHfIBoZ1pirUWefY3QpLCwMO61NylTx/CJF6lYlcV/JWCE7vyQEX5DEvyHmvqxVdUa6aWaypuyhgqr2zGGXD1dBL1ZwmhOhUw6cejAP0aFkMweJBecyfls6+7o6KZHiLWOSqc6mZ9yIi/lVsU96wou34U72GfAMI+4Xp6PJoDjerzyZl15Ro0sW2E+wdyI7EpiBtOqmKU6N1VkZKTFAtOtc/369ZFLvq+YtrlRqVoRumvCvSspCKG7lVmHc06cL7psXbsiE0iR7j0T/YcN84k1LZyoLFWVXaqpulWntrod4wh386e7R3EEfdltSeG21AhN6tTyf3NPncxPfVCdY13B9WR6DPONM+/B1Tbojm09pc1BfKLYepgGlU3m9XIT9efSm1+brX3hCM8ovXEk5+Qls9XeTWgkWrRH79Hd4vuL+5kWTqvLU0ov11TdqdNZ3Y4JJIwV5CqMYvN72brmdduVKysPZ584U3jeYkNjo0BOwDDfuLHdEkwDgrT1OumV2srrtfUSlfXt2EVI5UeyRDGcJpc/bF/GjlWdQX+u6OLxvDMZZTet95R3ozAHevUb0y3h8TIOOKq+Jy9Pr625L7d+riVSCZwwpns/NieU2ZbdMVuksK7474fHUoouWD/XEjBCOD84wW9oov8w0+DS/91I6xrtpmdkdiO17lSGplGEOiARRk9/Uzp3L0KIhkkZhEIKqiHicu6ZLTvXbgjmdmtugi1CSF2rVUhUmjqdrkFPphOpHDLD08X0z7Z79+77P321IKLR6vv/5kiLe436fMWqdgneglLb8LAmt7ReWqeuo5KoXBrbj+VjXP6/6bVGtQZFiaqhUqNr0GMYIjPJdHfq979t/ebHHbpucTiBRMpOnT0lafUXn7TxOyeRSHpPmFO+4J9GpaX3h2WsOP3X76YCHOEFsuJ8WWGtSqY16JgUV0+mRxAnoMkNaY1UVRqFRKWV6/RaA6LgrgK6q5eLRcd767QoEZrUqeUPa3LLFOVyTT2DTOe5cLux/awHxJroVYb64gZVjUan1BPJBDKTxBDTOqIJy0Z6XJ9bW1AoK5ap5QghJpXhw/TqxvFvbo4zwpFSqlaWqbT1etyA6whajrcbQ0xrl+EYrVPZUJ1Tk1ehrFJqlQwKQ0jnB3ICrAfEmmjrdYoSlbpWq1XqSTQChUVmiGkdVIVtksVvU6PXZNfkF8tL5Jp6IkZkUd38WN6+LJ/m1m7F9biiVNVQrtEqdAghMoPoIqQyxLSOaMi1kaS+LLe2oKqhWq1TM6lMd7oghBdoy41U36AnWd1IrXVEImxr309n5+3tTajORyo5ojFVuLtK744QIlz/ayS7T9N7mpuhsslP+MEoFQrrf0pXCkkhr2vq8HZAJ7tECLs3t/SXNQKZwPSjM83aHLbv+mXlwcuyt1IRiYIQQgb9pgPvs9Z+9/Hit9sSmFgsFtMMFXnpuP/j0SLsk6vfeGeG+WEYwvxY3n7NrJvVJBqPYse0Yc2NyuwrirD9eCKNwApksFDL0m3HIWLEIE5AEMfmLigM0UVUU81VLpczme02x7l1+C5cvksLxtaSXUnskNZMauwgFCIlnB/c3ORgaxgRc/VycfVq/y7YVhO7ippbsrxJT76RPht2e3BzEBiGffXph5ztz6GqQmMJ4c4x0akVX368uI1n7tmr13WZZb/R1UpVZHT/Np6543y1YbNs0tpHWRAhRCDWT1i5afvPbT/zwV9+Cjz6nuuhj1DmYezSbv4PI2cNDEie0D7dpQCAJ6iqqnrjlZejwoJ6BwckjRh2/bqtw6Och7PXCBFCL814ztfL442PXimvqiURCDF9I78/c8S0J1Sr9e/fv5bOPfBAmhz8qGfofHH1mUrtl1OntTnkjiK43AMYAAAY0ElEQVRXNiBG46dpElVLpBp7p9tyZl9f33vp5w4dOnQ+47pHAG/cextDQ5veNRcA0I6kUunIQQMXhXLeH9kNQyirqn7htIlL130/dtx4e4fmQCARIoTQkMGDM8+favfT/nHoyAdvv7Xt0KlAHrNI1uAbGn7oxMEn7BRvd0QMIYMeWXQIaZRtzIKPTk4kJicnJycnt/1UAAAbfbXss9dD2aMCHq2cHMJz3RofOOu9dyARmoNE2IFYLNam7Ts1Gk1+fr6Xlxedbufuk6camxi/4/Iv2gGzTCWEW4f7R/V5wp/Yrra2dtOG9TfTL7O53PFTp48d1+zGoQCA9pKWkvLmsEb97hwamUfBysrK2t7u1WVAIuxwFAolONjWrm/7Wrt8afrYSTnSu3U9kxGR5Hr3iGfB6Z/+Pdj2M1/NyJg7fcrsIPZrQmaduub3ZYt3btn0+8FDT905GgDQFjhusB5gScQwne4pM1+dirMPlgHmmEzm1ZTjW14a8HzlH1NK/vufiSF3rqQKBDZtGvdkC2e/uGWw79QQUQCHESlirRroK6rJ37V9e9vPDAB4gj5R0ReKq81LFFp9qULj6enZ3J84IagRgkYwDJs+ber0aVPb8Zx5eXkCksHLrdEI75nB/JV7fp07f347fhAAwMKHXyyfMGIonUKKErEQQlKF+sMLBe9/+nkHrZXTSUEiBB1OJpOxaZbDbTgulNqap6+sBgBoCz8/vwPHTy958/UvDt8jYsiFyVr67abEkU1v/ue0IBGCDufv759VJbcovFUuCw23de4/AKDVAgIC9v5zFCGk1+s7e698VlbWlStXhEJhTEyMab+8toNECDoci8XqGztk260bc3uKjc0xlUrNmhvS7QegjxCAZ6dTZ8H6+vp5Lzxfk3s/ikfL0GNLJLL/++CT2fPap28FEiF4FjZs2brk7TeTD//bW+gm0xpy5JrVG7f26NHD3nEBADqHBbNeiNNJJg7vZnz7Ri/3Bd+u8g8MGjJ0aNtPDokQPAtUKvW7jVtqamru3r3L4XCCg4NJJPjugU5Jr9cfO3bs3u1bIrHniIQEd/cm9oIG7Usmk2Xfvrl6dIiphEYiLunjsXndWkiEoJPhcDixsbH2jgKA1nvw4MFLU5J7u2HdmcSHGvybzz9+Y8nHc+a/Yu+4urji4mI/luWCJMFc17zM3HY5PyRCAACwCY7jL0yeuCqSG8J7tGHFS+Gil9au7BMdExHRgl1HQEvx+XypwnLbwrJ6lYDfDrOcEUyoBwAAG924ccOPhpuyIEKIQiQsDOf/d+sWO0blDNzd3YksXqa00R52W+6UPz8XBssAAMAzJJFIvOmW90wfFv1Qfp5d4nEqP+3+fdr40YNL6mKEdJlKu79AHth/8PMzZ7bLySERAgCATTw9PYuUlkt0FsqUXn4w/rnD+fv7X7h+a+8ff6SlnhV4eKz4YkLfvn3b6+SQCAEAwCYREREFasL9Snkon2ks0egNG+9Wbvx8gX0DcxJkMnnGzJkTJk6k0+ntu0QcJEIAALAJhmG/7D/44uSJkczanm6kCg1+qED25gefwEiZzg4SIQAA2CooKCjteubx48fv3soMEnv+m5goFArtHRRoK0iEAADQAkQicfTo0aNHj7Z3IKDdQCIE4FkzGAy//Pb74TNpBISNjY+b8dw0AgEmMgFgN5AIAXimqqurB49OLvAYWN99BsLxw78dWr1h87mjB9txKX1glJOTk5GRQSaTY2JiYB9a8ASQCAF4pl577+P7Ua/reycb38oDYu6n73nzg0//u3mDfQPrSrRa7ezX/u/EtSx50AiCQcf4dO2LExLXfvkZ7EYLmgQNMgA8U2fTLugjJ5qX6KKmnUw5b694uqTFS5cdqBNXLDyqGvGuMnFJxVtnfkov27h1m73jAg4KEiEAz5QBIyGLegmG6VF71lTUastVGZ3N738eaoh/9/F7jFA3/sv1W3baLSDg2CARAvBMuZAISK1oVKSSMyjktp8Zx/FdO7b3DQ0a3Cs0MtDvxamTJBJJ20/b6ahUKpzqigiNN6F1YdU3qOwUEXB0kAgBeKbeeW2e24HFSK999F6vdfvzncVvtMM+PsuWfnxy4+rdw333jw75Z1zoaH3RmKGDampq2n7mzoVGo+EquWWpVkUhwu0ONA2+GQA8U2+9tuCdESGCdYM4f73P/Wux8LtBi0dHLJw3t42nraurO/DrLysG+rlSHo2AG+zDezGAuXH9d20OufMZGjeAlLHXvMQl5fuZU5PtFQ9wcDBqFIBn7bMP3vu/hfNv3LhBIBAiIpa5ubm1/Zy3b9/u68EiNO59HOTJ/vJ8SttP3uls/W5NTtLUnPxzspDRSKfl3v4zimf47INd9o4LOChIhADYAYvFGjJkSDuekEQi6Qy4RaHWYCCTqO34KZ0Fi8W6mnL86NGjJ85dolEpY1YsjIuLs3dQwHFBIgSgK4iIiLhaJlPrxVSznrB/C2qHTWhro2tHq6+vv3btmkwm69Wrl6+vbzueGRZCAzaCPkIAugIqlfrux0vnnXyYW6NACGn0hl13y07VYvMWvGrv0J7kv7/uCeo3OPnrP2fuSu83ad6E52crFIqn/xkA7QpqhAB0EXPmvRIS1n3l0g8llx5SKNRxkyaf+uAjGo1m77ialXbhwttrt1YvOo2oDISQHKF/L+6cOX/RwV932Ds04FwgEQLQdQyMjf3ndKq9o7DViu82V49dYcyCRpoBsy+u3yGTyVgslh0DA84GmkYBAPaRnZOLxOGWpaKQgoICe4QDnBckQgCAffB4PFQntSyVlfL5fHuEA5wXJEIAgH3MnzmFmdJ4z43iW0KSWiwW2yki4KSgjxAAYB+zX5x59My5MztnVEXNQnS2S845wZ39+//81d5xAacDiRAAYB8EAmHvzh/T0tL2/HW0skI2NLH3S7vOO/IwV9BVQSIEANhTbGxsbGysvaMATg36CAEAADg1SIQAAACcGiRCAAAATg0SIQAAAKcGiRAAAIBTg0QIAADAqUEiBAAA4NQgEQIAAHBqkAgBAAA4NUiEAAAAnBossQYA6ILkcvl3X6++fC6FRKYMTRi58M23qFSqvYMCDgpqhACAriYnJyeubwT9yj/LAkkfeOtqj+0eFNW7qqrK3nEBBwWJEADQ1bz96vyVfd2fCxUJGVQvpsu8Hh7z/Fw++2CxveMCDgoSIQCgSzEYDAU52RHuLPPCUQH8tNQUe4UEHBwkQgBAl6LVamlkokUhAcOQwWCXeIDjg0QIAOhSqFSqGseUWr15YYlcxRMI7BUScHCQCAEAXc0b773/0YV8Uy6sUWk/uFCw5PMv7RsVcFgwfQIA0NW8/MqrOI5PWr0qmOuqM+CF9eov1nybkJho77iAg4JECADoguYtWDhn3iu5ublkMtnPz8/e4QCHBokQANA1EYnEoKAge0cBOgHoIwQAAODUIBECAABwapAIAQAAODVIhAAAAJwaJEIAAABODRIhAAAApwaJEAAAgFODRAgAAMCpQSIEAADg1CARAgAAcGqQCAEAADg1SIQAAACcGiRCAAAATg0SIQAAAKcGiRAAAIBTg0QIAADAqbXDxrw6ne7OnTsZGRkymeydd94x/09///33iRMnPDw8XnnlFR6P1/bPAgAAANpXO9QIT58+nZSUtGvXrqVLl5qXb968edGiReHh4ffu3Rs0aJBWq237ZwEAAADtqx0SYWJiYkFBwbp168wLDQbDmjVrNm7c+Oqrr+7atYtAIBw8eLDtnwUAAAC0r47qIywqKsrPz4+Pj0cIYRgWHx+fmpraQZ8FAAAAtJqtfYR6vd66kEgkNnd8WVkZk8mk0WjGt0Kh8Pr1680dLJVKV6xYIRAITAdbtLKa0+l0Wq0Wx3EbIwcIoYaGhif8YwFrBoOhoaEBwzB7B9KZwNesFeCitZRSqUQI2f7bpFAoJNJTMp1NiTAlJSUxMdG6/MaNG2FhYc19tk6nM73VarVUKrW589Pp9PDwcD8/P+NbT0/PJxxMJBIJBMITDgDWNBoNXLEWMRgMBoMBLlqLwNesFeCitZROp6NSqbYnQgLh6Q2fNiXCIUOGqNVqGz/VSCwWK5XK6upqLpeLECouLhaLxc0dzGQyk5OTY2JibDkzjuMGgwGeoVqESCTCFWsRDMPgorUUXLFWgIvWUsYr1r6tNR3VR+ju7h4TE7Nnzx6EkFwuP3r06IQJEzroswAAAIBWa4d5hOXl5WPGjFEqlSqVKioqSiwWHzp0CCG0atWqKVOmnD9//ubNm7GxsXFxcW3/LAAAAKB9tUMi5HA4W7ZsMb01tXcPGzbs9u3bFy9eXLhwYWxsbNs/CAAAAGh37ZAIyWRy3759m/xPHh4ekyZNavtHAAAAAB0E1hoFAADg1CARAgAAcGqQCAEAADg1SIQAAACcGiRCAAAATg0SIQAAAKcGiRAAAIBTg0QIAADAqUEiBAAA4NQgEQIAAHBqkAgBAAA4NUiEAAAAnBokQgAAAE4NEiEAAACnBokQAACAU4NECAAAwKlBIgQAAODUIBECAABwapAIAQAAODVIhAAAAJwaJEIAAABODRIhAAAApwaJEAAAgFODRAgAAMCpQSIEAADg1CARAgAAcGqQCAEAADg1SIQAAND1GQwGtVpt7ygcFCRCAADoyh48eBA7coK4R4xv1LBukQMO/HXI3hE5HJK9AwAAANBRcnJyBk94XjplI5raByGE5BVzV71WXlWzYO4se4fmQKBGCAAAXdaSZavLx6xEvn0evWcKal/a9cXqdQaDwa5xORZIhAAA0GVdvX4DDxnSqIhCN/B8JRKJnSJyRJAIAQCgyyIQicigsyjEdWoSCfrFHoNECAAAXdaIIYOINxqPjpGX01XVIpHIThE5IkiEAADQZa345H3Pc9+Q039Dei1CCOVn8H+avPmblfaOy7FA7RgAALosPp+feeH0B1+sOrYpXqvThQUHrd+3IywszN5xORZIhAAA0JWxWKxN335l7ygcGjSNAgAAcGqQCAEAADg1SIQAAACcGiRCAAAATg0SIQAAAKcGiRAAAIBTg0QIAADAqUEiBAAA4NRgQj0AAIDWwHH88OHD6WnnXBiuwxNHRkdH2zuiVoJECAAAoMUqKysnjxkZQlINFNBUOv3yfT/zQiO37f6NSCTaO7QWg6ZRAAAALfbG/LlzPQmfRnuP8BeMCxJtGhrALrmzccN6e8fVGpAIAQAAtIxGo7mfeSPel2deuKCHx57/7rRTRG0CiRAAAEDLyGQyHp1qUcikkhRKhV3iaSNIhAAAAFqGw+GUK9R448IKpZrL4donoLaBRAgAAKBlSCTSkBGJ/71TairR4/jKjJL5b75tx6haDUaNAgAAaLGvN3y/YNaLc07dGCigaXDsZHHd5JfmTJ8xw95xtQYkQgAAAC1Go9F27dmblZV19epVGo321sCBIpHI3kG1UudrGs3MzDxy5Ii9o+hkfvjhB4WiU3Zi20tubu4ff/xh7yg6me3bt1dUVNg7is5EKpXu3LnT3lG0SUhIyIwZMyZNmvTMsuCePXvy8vLa95ydLxFevnz56NGj9o6ik9m6dWtpaenTjwP/k5mZefDgQXtH0cn8+uuv2dnZ9o6iM3n48OFvv/1m7yg6mQMHDmRmZrbvOTtfIgQAAADaESRCAAAATg0SIQAAAKeG4Tj+9KM6mFgsJhKJFArFloPlcrlarebz+R0dVVdSXFwsEolIJBgkbCulUimXy93d3e0dSGcikUh4PB6VarngCGiOWq2urq728PCwdyCdiVQqZTKZdDrdxuNnzJixfPnyJx/jEIlQKpXaPqbRYDDo9XoymdyhIXUxarUabk8tguO4Vqu18eEMGMHXrBXgorWURqMhk8kYhtl4vIeHh4uLy5OPcYhECAAAANgL9BECAABwapAIAQAAODVIhAAAAJwaJEIAAABOrZONp8/Pz9+5c6dSqXzuuef69u1r73AcVEVFRUZGRlFR0ZAhQ0JCQkzlxcXFO3bskMlkkydPHjBggB0jdDRKpfLIkSPXrl0jEokjR46Mi4sz/aerV6/u2bOHTqfPnj3bz8/PfjE6nPT09JMnT1ZUVAiFwhkzZvj4+BjL1Wr1tm3bsrOz+/TpM3PmTNtH9zkPmUy2Z8+e6OjoyMhIY0lRUdGOHTvkcvnkyZP79+9v3/AcSnp6+vXr101vZ82aZRxkq9Ppdu3adefOnfDw8NmzZ7dxblhnqhFKJJJ+/frV19cLBIL4+Pi0tDR7R+Sg4uPjly1b9tFHH124cMFUWFVVFR0dLZVKPT09x44de+zYMTtG6Gg2bNiwadMmV1dXMpk8YcKEjRs3GsvT0tKGDx8uEAgUCkW/fv0kEol943QoBw8erK+vDwgIyMvL69GjR1ZWlrF82rRp+/fvDwoKWrt27eLFi+0bpGN69913Fy9ebFozuaKiIjo6urKy0sPDY/To0SdPnrRveA7l0KFDP/30U+7/6PV6Y/mCBQu2bt0aFBS0Y8eOefPmtfVj8M7j008/nTJlivH1ypUrk5KS7BuPw9Lr9TiODxgwYPv27abCr7/+euTIkcbX//nPf4YOHWqf4BxSQ0OD6fW2bdu6d+9ufJ2UlLRixQrj62nTpn366ad2CK4zSEhIWLNmDY7jt27dYjAYcrkcx/GHDx/S6fTq6mp7R+dYTp06FR8fn5SUtHLlSmPJV199NWbMGOPr7777Lj4+3n7ROZxPPvnknXfesSgsLi6mUqmlpaU4jldUVNBotIKCgrZ8SmeqEaampiYmJhpfJyQknD171q7hOC4CoYl/1tTU1ISEBOPrxMTE8+fPm56tAI1GM71WqVSurq7G1ykpKaaLlpCQkJKSYofgHF55eXl2dnbPnj0RQqmpqQMGDDBewMDAQJFIlJ6ebu8AHYhCoXjrrbd+/PFH8xZjizvbuXPncJjebeb27durV6/evXu3ad2VtLS0sLAw48ZPfD6/Z8+e58+fb8tHdKZEWFpaKhAIjK+FQmFdXR3ssWc7i6un0+lg6zhrUql0+fLlS5YsQQgplUqZTGZ+0WArKwsbN2708fHx8vKaOXPmqFGjUOOvGUJIKBRCe7K5JUuWzJkzJyAgwLzQ4rep0Wg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this system with much large time steps.\n", "This method evaluates $f \\left( y \\right)$ four times per step so the cost is about equal when the step size $h$ is 4x larger than for forward Euler." ] }, { "cell_type": "markdown", "id": "22559e60-861e-424f-9a94-ab5b9f23cb99", "metadata": {}, "source": [ "## Linear stability analysis\n", "\n", "Why did Euler diverge (even if slowly) while RK4 solved this problem accurately?\n", "And why do both methods diverge if the step size is too large?\n", "We can understand the convergence of methods by analyzing the test problem\n", "\n", "$$ y' = \\lambda y $$\n", "\n", "for different values of $\\lambda$ in the complex plane.\n", "One step of the Euler method with step size $h$ maps\n", "\n", "$$ y \\rightarrow y + h \\lambda y = \\underbrace{(1 + h \\lambda)}_{R \\left( h \\lambda \\right)} y $$\n", "\n", "When does this map cause solutions to \"blow up\" and when is it stable?" ] }, { "cell_type": "code", "execution_count": 8, "id": "01d87460-b533-42ac-a936-24ac51763ab3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "plot_stability (generic function with 1 method)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function plot_stability(Rz, method; xlim=(-3, 2), ylim=(-1.5, 1.5))\n", " x = xlim[1]:.02:xlim[2]\n", " y = ylim[1]:.02:ylim[2]\n", " plot(title=\"Stability: $method\", aspect_ratio=:equal, xlim=xlim, ylim=ylim)\n", " heatmap!(x, y, (x, y) -> abs(Rz(x + 1im*y)), c=:bwr, clims=(0, 2))\n", " contour!(x, y, (x, y) -> abs(Rz(x + 1im*y)), color=:black, linewidth=2, levels=[1.])\n", " plot!(x->0, color=:black, linewidth=1, label=:none)\n", " plot!([0, 0], [ylim...], color=:black, linewidth=1, label=:none)\n", "end" ] }, { "cell_type": "code", "execution_count": 9, "id": "7308ee32-f841-4bd7-82ed-6ba133c33b9b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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on the right hand side are known so the approximation $\\tilde{y} \\left( h \\right)$ is computed merely by evaluating the right hand side.\n", "Let's consider an alternative, backward Euler (or \"implicit Euler\"),\n", "\n", "$$ \\tilde{y} \\left( h \\right) = y \\left( 0 \\right) + h f \\left( h, \\tilde{y} \\left( h \\right) \\right) $$\n", "\n", "This is a (generally) nonlinear equation for $\\tilde{y} \\left( h \\right)$.\n", "For the test equation $y' = \\lambda y$, the backward Euler method is\n", "\n", "$$ \\tilde{y} \\left( h \\right) + h \\lambda \\tilde{y} \\left( h \\right) $$\n", "\n", "or\n", "\n", "$$ \\tilde y \\left( h \\right) = \\underbrace{\\frac{1}{1 - h \\lambda}}_{R \\left( h\\lambda \\right)} y(0) $$" ] }, { "cell_type": "code", "execution_count": 12, "id": "a795bbb2-cc39-433d-bec4-c3d01ae6dd3c", "metadata": {}, "outputs": [ { "data": { "image/png": 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non-linear problem.\n", "We need the Jacobian or finite differencing.\n", "\n", "We can consider the midpoint method.\n", "\n", "$$ \\tilde{y} \\left( h \\right) = y \\left( 0 \\right) + h f \\left( \\frac{1}{2} y \\left( 0 \\right) + \\tilde{y} \\left( h \\right) \\right) $$" ] }, { "cell_type": "code", "execution_count": 13, "id": "e989de20-ea1b-4211-b404-019b80e20cc9", "metadata": {}, "outputs": [ { "data": { "image/png": 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\\left( 1 - \\theta \\right) u \\left( 0 \\right) \\right) $$\n", "\n", "which, for linear problems, is solved as\n", "\n", "$$ \\left( I - h \\theta A \\right) u \\left( h \\right) = \\left( I + h \\left( 1 - \\theta \\right) A \\right) u \\left( 0 \\right) 0 $$\n", "\n", "$\\theta = 0$ is explicit (forward) Euler, $\\theta = 1$ in implicit (backward) Euler, and $\\theta = 1 / 2$ are the midpoint or trapezoid rules (equivalent for linear problems).\n", "The stability function is\n", "\n", "$$ R \\left( z \\right) = \\frac{1 + \\left( 1 - \\theta \\right) z}{1 - \\theta z} $$" ] }, { "cell_type": "code", "execution_count": 14, "id": "9700917f-0a10-44df-a9b7-895641cebf57", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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IQgAAEDUEIQAAiBqCEAAARA1BCAAAooYgBAAAUUMQAgCAqCEIAQBA1BCEAAAgaghCAAAQNQQhAACIGoIQAABEDUEIAACihiAEAABRQxACAICoIQgBAEDUEIQAACBqCEIAABA1BCEAAIgaghAAAEQNQQgAAKKGIAQAAFFDEAIAgKghCAEAQNQQhAAAIGoIQgAAEDUEIQAAiBqCEAAARE2voisAAACglkwmu3bt2uPHj62srLp162ZoaKhys4sXL4aFhbm5ubm4uHCFr1+/PnnypL6+ft++fU1MTNSdQiKXy0tf0fT09Dt37sTExHTv3r1GjRrKG1y4cCE+Pp4tm5mZ9enTp/QnBQCA916/fv2io6NdXV1DQ0OjoqICAwPt7OwUtvH39z937pynp+e///67fPnyTz/9lIiePn3asWPHbt26paamhoWF/ffffxYWFipPoYUgzMnJqVatmqOj46NHj65evdquXTvlbbp3756VlWVvb09EdnZ2a9euLeVJAQBADMLDwx0cHNhyjx493N3dly5dyt8gLCysZcuWz549s7a2Pnv27KhRoyIiIqRSqb+/v1wu37RpExH17dvX09Pzyy+/VHkKLXSN6uvrJyYmmpiYVKtWTWCzmTNn+vj4lP50AAAgHlwKEpGNjU1ubq7CBseOHevUqZO1tTUReXh45OTk3Lx5093d/ciRI9u3b2fbDBky5I8//ijDIJRIJAJ9r5z//vsvLS2tadOm7du3L/1JAQBAVO7du3f06NHLly8rlEdFRbHuRiLS0dGxs7OLioqSyWSxsbG1a9dm5bVr146KilJ35HIaLGNraxsbG5uQkDB37lwPD4/du3dLJBKVWw4ePNTBwZEtGxoaTpkyxdTUtHwq+R4rKCjQ1dWt6FpUamp+H4XIZDKJRKLuNxlKTCaT6ehU0gHtFf5fu8QV4P8RKPFB9PX1iv5Lkp9PMlmxDnv7zp2Va9bUr1+fX+jp6dm7d29u9eXLl4MHD16xYgV/LAxTUFDA/99QV1c3Pz9fJpOx/0P5heoqUE5BuGvXLrYQHx/ftGnTkydPqhwvk5+ff+JEG6l0Lleybl0RRy6f38uyO4t2j6yVo5XmICXbtwR7ab6LhltqazPhDQTeLcFbxSpXLtRKicCqumV1bxW5r7oFDctVrqr8qeEqf0FhWXlV3UtHR6hER+ftKlvgSvir/EJd3XfK2WpCwuPffvOaP/+RwrsSCenqKh5QuZLc9zZokAYJ5+5Od+8WvRnPXZnsvrOzq6srv1BP7208xcbGdu/e3d/f38/PT3n3WrVqPX78mFuNi4uzs7PT09OzsrJ69eqVs7MzV6iuAuU9fcLa2rp169aPHj1SN3AU/76GSqvq/m5W3X8vqoxJ4dNp8m8R5aBVLtewVupqqByZ/HKFjFH5VpHxqRyNystcHBKRrm5h7PG34UejyjjkfzkatdQNDEjNDAd1zPPzHR0dv/rqK5Xvvnr1qkePHh9//PHs2bP55WxsioGBgYeHx5IlSzIzM42NjYODg7Oyslq3bk1Enp6eJ06c6NKlCxGdPHnS09NTXQXKMAjj4uKys7Pr1avH7+hISkoKDg6eOnVq2Z0X3nuVNpAqQ8XKtA7Kf7i1e0BNDqvFD1jkoYr7edWlLL3bcFTYRfktgWalQouN315Ubh1yUcc1/rggVGgyKuyrnIWafPxC+vrFDULKyRF4c8SIEfHx8ZGRkZ999hkRtW7dmi20adNm2bJlI0aMaNOmTadOnQYMGDBgwIAtW7bMnDmTDVuZPXt2t27d9PT0UlNT//e//92+fVvdKbQThFOnTo2Njc3Kyvr6669r1Kjxyy+/WFpa/vzzz3fv3j18+HBMTEyPHj0++OADqVR66NAhd3f3fv36aeW8AFVIZYjJyqCcv4diNfUU9lK3SmrSjn86gQaryl5HhUKBLOQnn3IEKuccWyBSDEK2rNBGZLmonLjFIJWSvn5xdiDha4rt27fX1dW9efNmp06dmjVr1qBBA1a+cuXKtm3bEtGsWbOMjIzi4+O3bt1qaWkplUrZBqtWrerQocP+/ft1dHRmz57NDahRpp0g/OijjzIzMydOnMhW2fCWjz/+ODU1lYhsbW23bt167949mUzm6+vLGqoAUBqVPFZLGTylP6PAATVPNZX7qmwhFdnaE24RKm+vcnflfkt+G05l05BLO65FqJCFCm1EroHIP2ORX8s7it81SgUFAm8mJSW1atXq0KFDjRo14lKGiHx9fdmCj49PRkYGW/bz8+MuLu7bt+/PP/+sXr06EXHDR1XSThB27NhRudDJyYkt6Orqdu7cuXPnzlo5F18l/1tQFeErrWzK6L+IJoet8F8GgU65YvfXKW0s3I3J/ym8pXIcCjehVKajQOYJLwg0AdmCnl7hTyKSSt/JQv4GCg1E5dAtxlddgq7RvDyBNzds2EBEN2/eVLdBhw4d2MKTJ08iIyNHjx7NvdW1a1c2v1BYuQ6WSUlJMTc3L88zQnmq8L+byiphlSqtUn5XJdi9HHYpdmtG47MX2YhU17BTWT3ljZXfVW72qWwCKqca/xqhnt7bQvZiQcjFJ1uVvDv0pnjfYQm6RvW0k0S//fZb//79bW1tuZKxY8fq6el17Nhx6tSpRkZGas9f+nOHhobOnz//5s2bWVlZ6mYsXrp0adSoUVlZWSYmJn/88UenTp1Kf14AKE8ljhPNOx5LrGQNRP4uKv/ca35Yda1AdX2hys0s/hE0bzUKxyE/8IjeBiE/C7kShQaiwtgZTb6EQiVoEWZmFm97VfLz8wMCAjZv3syVLFq0qF27dunp6StWrLh48eLRo0fV7audHO7WrVu/fv0mTZqk8t2CgoJRo0YtXbp09OjRO3fuHDly5NOnTzG/G6BKq8A+25IdpFh5rG4DhbhSuZdymmrSIlTeUl1/qbo4VG4O8hNOIinMPH7y6eoq9pdyTUaFIFSX9CoU/xpheEHB0aNHFR7YMH78+O+//17zgxw7dkwmk/En5s2bN48tdOjQoXbt2hEREfXq1VO5rxaC0NHR0dHRUaAD99y5c3l5eaNGjSKiUaNGzZkz5+LFiwJTOkBUqkrvZZnWsyz67ipQyTowS3mQEpyrWKdQuWORvZ0atggVspBIxbvK4SdwvVCh2cdvEXJByBZYECoUKlxuLF6LsPhB6FCtWq9evQICAviFxb2Otm3btjFjxuip6mW1srKSSqVs8KZK5XGN8OnTp87OzmymvI6OTuPGjZ8+fVqFgrCS/HGBSq7S/p5U2oqVmIY9liX74Crbc8KbadhaEuj8VC6RKI2X0aT9p9AQ5JJPT48kEtLXJ6n0bQl7V1//nYBUaCBGRoaHhAQ/f/4sNjYmLS31m2/m16lTp4jPyQ5aLHp6UqlU3TOSVHr06NGBAwfmzJnDVuPi4o4fP75y5Upug+fPn+vr69vZ2RUUFCxZssTKyoobv6ni/MWrbomkpKQYGxtzq2ZmZklJSeo2lhXzJnXAef/+3qlURT9mlat2WVe4BMcvcX+mhkdW2bbT/PjqmokKTUOVjUiV7T+Ft1T2kSoPJVUIQu7Fukb5Qche+vrvrEqllJ+fffLk0cOH/z1z5hT3HFnms88mFB2EJZg+IRicn3322d69e2Uy2Y0bNxYuXLh9+3YvL6/w8PDNmzezIExMTNy0aVOHDh309fXDw8Pr16+vo6Pz+PFjX19fQ0PDtLS0Ro0a/fPPP/rqz1IeQWhlZZWSksKtJicnC4xnrbQ32y0LVe6P4/sK/yFK+Q1UbL+xcIAph1wJAlWgUaiuaVjkdTV1gUdKiah5CqocJsN1jSoEHvvJbyYmJERv2vTj779v49oqtjY2ri1bNm7YsJaNjYW5eYM3k9mFlGCwzJsp8CplZmbm5uZmZWWtXbt2ypQprLBfv37Pnj1jy6tWrdq4cWONGjV69uxJRLdv365WrVrv3r3XrFnzxRdfdO7c+datWw8ePHBzc1N3ivIIwmbNmt27dy8vL08qlebm5t67d69Zs2blcF6Aqu49SOhiJVBZU65Mcauk3NrT8CAqY0+hVsLtwuKmoEIWshYhPwLZy8CApFLKyUn77rslmzaty87OJqK2rVt/NGTIgF69nOrVI5mMZDKSy0kup5o1i/6o2p4+4e/v//3333/88ccC20yYMEFhZE1mZubs2bMPHz7cuXPnK1euDBgwwNfXl983+c75i1ddVXJyci5duhQaGlpQUHD69GkjIyM2O2Ly5MldunQZNmyYm5tbw4YN582bN2XKlJ9//tnR0ZHdFwcAqooiuw3L4iwVTl19itVrqi72iFRHHalPQYE2oroU5C7+cV2jCi8DAzp//sSUKROiol7q6Oh86O395ZQpbV1cKD+f8vMpPZ0KCt4GoSa03TWq8oYtCrKysh4+fGhvb29mZsZKTp8+bWlpyW7k0rFjR0tLyzNnzgwcOFDl7loIwrS0NHaJskuXLitXrrS1tWVBaGBgwA3g2b9//6xZs7p169ayZcv9+/eX/qQAUGKVLW+UadjGKuUR+FsqtO2KjDqVG6iMLpXnUuhEVX5LXdopx57KjlDlXlAi0tcvbP+x7lB9fdLVLVi2bO6aNT/I5XL3du3Wr1zZpnFjys2lpCTKy6O8PMrNLXy+IMvCJk2K/kK13TWqib179164cCEsLGzUqFEbN27U1dV98eIFf7JEvXr1IiMj1e2uhSC0tLQ8deqUcvnq1au55fr16yP/ALSl8idZ+askjVR1VxMVrgLyy0lVFirsqDImVU6iUL6VKMtFftcoS0GZLGvs2GFHjx6WSqVL58+fPXGiTl4epadTbm7hKy+PcnIoP58KCqigoOxahBlEz58/37JlC7+wVatWAlf1+GbPnr18+XIievnyZZcuXbZs2eLv75+dnc0fHWNgYJCVlaXuCOX9PEIAgBIoTc6VMiPVNRM1vEAoEI3KxylWj6i6xqLyBHnWNcp1h7IUHDas/4UL5yxr1ty/Y0fX1q0pO5uysykjg3JyCl+5uZSdTXl5hUGo4ZB+1vAsjgy5PDk5WWEyuqmpqYZByM3Et7e3Hz58eGBgoL+/v62t7evXr7ltEhISatWqpe4I2gnCtLS0n376KTQ0tHXr1pMmTZIqtXP37NkTERHBVXrChAlaOS+AALE1m97Lz1usq3Ga7M4vL33nqoZZqO7IKluEVPwUVNlfym8OcqNGWQrq6BR88onvhQvnatvZnf7nH+c6dSgri7KyKDub0tIKEzE7m3JyKDOT8vIKG4WaB2ExW4TWFhatWrXi3x2txMLDw9m9Rt3c3O7evZuamlqtWrXU1NTg4OAyHzXq7e1tamo6YsSIdevW3b9/f+vWrQobbN26tVatWs2bN9fK6aCMvJd/SUWuZP9Ny/o3QaF7sHxoeCJ1DThuQXgDUoox5XLlY5JSi1D5+PwNFO58VmQWKgyW+fbbOcePH7G0tDxz6JCTrS1lZhYGYWYmpaa+XeUaiFyjUBPaHixz+PDhBw8ePH/+/PTp05mZmV5eXs7OzseOHZs8eXJ4eDgRTZgwwc3NrVq1ahcvXjxy5MiNGzeIyNHRsXfv3iNGjJgwYcKvv/7ap08fR0dHdafQQhDeunXr2rVr8fHxhoaGnTp1atiw4dKlS21sbBQ2Gzx4sI+PT+lPB/Ceec/+/VHJP45A9dR1gWrlyCq7VQUqoJymRXaK8kuUJ9TTmxbhmTNHfv55tVQq/XfXLqc6dQqTj70yMiglhTIyKCOjsIQ1ENmQGQ2DUNvTJx49enTu3DlLS8tq1aolJSXl5eURkYODA9ezyJ4Dn5KSYmNjc+DAAWdnZ1bu6Oh47dq1OXPmWFtb+/n5CZ2/eNVV5erVq+7u7oaGhkRUu3btevXq3bx5U/kZ9P/888+NGzeaNGkyfPhwgRn+APBeKtm1tOIetpR9laXcXmV7TqBEIeRITdoJR6BA+PFHx0gkZGBA2dnJU6dOlMvl3y1c2LllS8rIoNRUysig9HRKT6e0NEpIoLQ0Sk2ltHWdstwAACAASURBVDRKT6fERMrMfJuFmtD2qNHAwMBq1ao9fvx4xIgR3IR6Z2fnr7/+mi0HBQUNHz68adOm//33n7e3961bt1jjb+3atStWrGATKgQeT09aCcLY2NiavFmWVlZWMTExCtu4ubkZGxsbGBisW7ful19+uXTpkroslGs4MAkAKr2yax2WT7tToAu3xLGtrmtU4JiaXCNU10eq8PSJZcu+jYmJ6dyhw4wJEwo7P1mPKEvBlBRKTKSUFEpOppQUSkmh+HhKTy/Mwvz8/Px8lXe1foe2u0YPHDhAROyuMSqdPXuWLQwePPjq1atHjx6dPn06Kxk9enQ5PZjX0NAwj/d84ZycHEOlb+G7775jC1OmTHFycjp06BC6SQFApUreuVpiAt2h6q5B8luKpD4RVT6JQvnpEzExEZs3/6Krq7v+++912NSI7OzCHtH0dEpNpeRkSkykxER6/brwZ0wMf4xM0SlIFTOPkCkoKIiOjuaPDl24cKGhoWHHjh19fHwk6n+xtHBjT3t7e26iolwuf/HihUAj1MjIyMnJ6eXLl+o2EKgrAFSIyv8/ZYXUULgbVt3QGHX7Kuefwr4qI1MgFHWUnlC/YcPq3Nzc4R9+2JLNmmdBmJX1ThAmJFBcHEVHU2QkRUVpOlKUj10jLNZLS0+oX7p0qZmZ2dChQ9nqmDFjWrZsWbt27S+//HLixIkCO2rh9P369fP393/06JGzs/Pp06clEgm7I879+/dTUlI6deqUm5ubk5PDOmrDwsKCgoIWLFhQ+vMCAJSRYiWrcsgJ96OqWy2yyVjkBUWFq4b8FqFcLtu163ci+mrq1MJbxvBbhKxfNCmJXr2imBiKiSn5U+MNDIjXR6iJ54mJ58+fV7j15pAhQ+bOnav5QbZs2bJ9+/aLFy9yzVZu/oKXl1fjxo0XL16sbiqhFoLQysrq22+/9fDwaN++/ZUrV37++Wc2j/DPP/+8e/fu4cOHX79+7eTk5OrqamBgEBQUNGnSpK5du5b+vPAeqPxNDagMtDKORqFcZXtOeKiL8LCXklVD+TgKLyK1sSfQFlQePpORkZ6Wlta5QwcXBwdKT3/bFkxLK+wRjY+n2Fh69oyiotR+GE0Uv2u0rr29q6vrDz/8wC9soMmTLt7YsWPH0qVLz549W7duXeV3GzZsaGBgEBcXV4ZBSERffPHF0KFDnz59umnTJu5Ms2bNys3NJaJatWqFhYU9fPhQLpc7OTkJTO8HAKhsNIxhTTYTaCxqEtv8gwiko8IlQxaE6enpRDR86NDCu2mzm6jl5LwdLJOaSklJ9O4DCEui+NMndKRSc3PzNm3aaL7LixcvLl++PHz4cCL6+++/586de+rUqUaNGnEbJCQkmJmZGRgYENHvv//OrsqpO5rWbrHm4ODg4ODAL+Fue0NE1tbWmgzdAQAoC1rseyhB46+U51LIPO4tDduIEgnJ5QWZmRlENLBnz8IgZFnI9Y6yUaPJycXt1VTBwEDTu5JyBINz5syZBw8ejImJuXPnztq1a9evX9+3b9/bt29PmzaNBSGbI8jm7Onq6o4bN27u3LkXL1789NNPmzZt+vr165SUlICAACMjI3Wn0NpTcMPDw2/fvp2n/ktMTEy8efNmYmKits4I8H6rKv3G5VnPsjuXto6sYUyq65gV7okV2F0gIHV06PnzpzKZzKFBgzq2tlRQQPn5hQ+X4I8dZZcJS491jRbrJThqVCKRsGfZzp49+8aNG927dyeiPn36PHjwgG0QEhLStm3brKysjIwMV1dXNtdwyJAhmzZtevToUU5OjkwmU77xJ58WglAul48ZM6Zr165+fn5OTk7snjcKdu/e7ejoOGPGDEdHxz179pT+pAAA7weVcajQZaqQcyo3FmgXhoU9JqLWrq4kkxXeLI2LQ/7Y0dRULXweNo+wWC/BFqG7u/u2bds6duxobGxsYWHB5qDr6+tbWlqyDQICArKzs6OioiIjI0NDQ/ft20dEeXl5M2fO3LZt2/Pnz7du3Tp27FiBdpoWgvDUqVNnz569f/9+UFDQoEGDvvnmG4UNsrKypkyZsm/fvosXL+7du3fKlCnsIcgAlUFVaXhpSxX6vJWwqhVYJeFxPQIpKJHQixcRROTk6Pg2ApV7R9PSKDdXCxXV9vSJDz/8sFOnTgbqn2ixe/duPz8/PT09IyOjcePG7dq1i4jOnj2rq6s7ePBgIho0aJCent65c+fUHUELQfj333/7+PhUr16diMaNG7dv376Cd29Jd/r06erVq3t6ehJRt27dzMzMuBsBAACIgVYStFgDbfgtxaSk10RkZ2tb+KB5ubzwWbusgcj1lGqFtrtGixQeHs7dUNvR0fH58+dE9OzZM0dHRzYxXSKRNGrU6NmzZ+qOoIXBMpGRkQMHDmTLDRo0yMnJiYuLs7Oz42/AH0fToEED7pFMymSy1wUFpzU8dSX8B2OxaLf+Ff5tlKAC5bOLVg5Y5GYlrpjwcMFSnkt5Sw0HN5b4IOquchX5MQX+rBf5lsoNBLoT1e2ovKp87U15Vblzkr8sPJhFonSPNH4hG/PJLaj8KZW+87gl9vR57hajRkakr08REc+J6MWLF6cvXXo7gz49nVJSKCaGEhIoKYk06Khrn5bGZoQL8Js+/enTp0Ueii8uPl5fX//06Xf+8jds2FCTGRRyuTwjI4MbCGNiYpKSkkJEaWlp/NExJiYmqeo7frUQhFlZWVyjld1cLSMjg79BZmYm/86iRkZGmeqnaspkzwoKVpa+VlpU4QFTbt6zT1qpPk45VKY0pyjnfUv/jw/hIxR3xyJ7HTVZFf4XQJGJy/+pvCocrgrz6CVKN1oLCwsloiMnTty4fv1tvyhrBWZlve0dLcqGmJgigzDo2rU7d+4UeSgFFhYWK1e+85d/wIAB06ZNK3JHiURiZWWVnJzMVpOSktizj6ytrblCfrlKWghCGxsbbiwoeyKwwkxBW1tb/mDR169fswcnqq6QXls9va81PHX5/KUru7NUthZhKY9Q2VqE2mrqabiZdv80l2AXDQtLnwQKJQIbF2u5NAsCuUKqGnbKW6pbVRlCCqvFavYpNPjURRf30tNT8ZRd7skSyk1ANvSEPSXewIBMTMjIiMaNG3rw4D8zpkz5dMCAwodLJCdTUhIlJFB4eOEN1cLDKS6OhDVuXMQGRD/9tCk1Na3Izfj++y8wOPjG4cOHi7UXp0WLFteuXevcuTMRBQUFtWzZkohatmx59+7d7OxsQ0PD7Ozs4OBgVq6SFoKwbdu2ly9fZsuBgYHOzs6mpqb8Ddq0aRMcHJyRkWFiYpKenh4cHKxwKx0AgPebXK6Ff6oqTM/jVlVO22OXAtmCuXl1Ikp4/fqdfOaCl0tRbWjZsr2Gz2viJCWlh4SobUQGBQVFRkbGxcXduXNn7969HTp0sLe3v3DhwqJFi9j4l88//9zf379169bZ2dmbNm1igdqqVatWrVpNmzZt8uTJGzZsaNWqlUAQamGwzNixY69cufL9998fPXr0iy++mDFjBisfOHDgxo0biahp06YffPDBmDFjTp06NWbMGE9PT4EZ/gDlTGwP/qpCn7cSVrUCq6QuBblVlS+ZjORysrGpRUTPIiLeaU7q6RW2HA0NydiYzMyK/UBdVdh9TIv1Eg7OoKCggIAAuVweGBi4ceNG9swGMzMzLkdatmzZq1eviRMnzpgxw9fXNyQkhD0KcNGiRSEhIQMHDrx//76Xl1damtp2qhaC0MbG5vz5848fP966deuCBQu4m3z37NmzSZMmbHnPnj2NGjVat26dk5PTn3/+WfqTAgC8H9RFGv9d/ip/e/7GAlnYoEFDIroXEqLYzSqVFgahkRGZmFC1aqX/OOyCY7FewrM2Pvnkkzt37nTs2HHixInBwcHsAlzr1q03bdrENsjIyLC1tR0yZAhLu88//5wNFr1x40Z6evpHH33UuXPnhISEfPV5q51brLVo0WLbtm0KhVOnTuWWzc3NuUcSAoAmtNKZVg7Ks55ldy5tHVngOPy32LLKCOSvCpxFYQOFpFQIwsaNmxHRrdu3cwoKDPh9oVwQshahuTklJBTzEyvKzdVk/Ok7hCdu7Ny5s2HDhps3byYiU1PT7777rn///vwNmjVrtmLFCrY8d+7cfv36ccNQ3NzcuLcEaO0WawAAlZYWuzSLzCct4geeckuxyBebKCiXk5mZuYGBQVZW1uVr11T3i5qakpkZVa9e+iuFWm8RXrhwoVevXmy5Z8+eV65cyVWzQ35+/o4dO8aNG8eVhIaGfv/997t27RLoFyVtBWFkZOTo0aPbtWs3adKkpKQk5Q0WL17s+8b06dO1clIAgHKgYbxpsplCm4/ebckJHLZY3aHcXHm2zG4mY2JiSkT7Dh9+m4IsCI2MCoOwWjWysKBSPx1B69cIY2JirKys2LKNjY1cLo+NjVW55YkTJwoKCvr27ctWLS0tGzRokJSU9OuvvzZp0uTFixfqTqGFrlG5XD5gwIAePXp88cUXK1as+OSTTw4dOqSwzYULF1q1auXu7k5ERU5DAfGoKr1/ULFK9nuibi+uW5L7KbCLcn+mync17BEt8sjKqUZKLULh9h//xd1VtKCATE3NEhNf//XPP2uWLjUyNCycR5ifT2ZmVFBQGJsSCWVnk6FhaR7MW4Ku0ZiY6OvXr/v6+vILe/TowUacSKVS7vIeW1B3B+3ffvvtk08+4d4dN24c1zocPHjwypUr169fr3JHLQThhQsX4uLifvjhB11d3Q0bNtja2j579kz5jgAdOnTw8fEp/ekAAMpasaJXOU2JhPJV3arKkypkIb07L0I5CxVCkQtCfX2Ddu3cr1//b8dff/kNH17YHMzLI2Pjwpn1bJZ9ejoRka4uxccTb0K65ljXaLEYGdWsXbv2hx9+yC9s0aIFW7Czs4uOjmbLUVFRUqlU5UP94uPjjx49qm4uf+fOnc+cOaOuAloIwrt377Zp00ZXV5eILCwsHB0d7927pxyE69ev37FjR/PmzadPn45nEwJUIZW/4V4hNVTZpuS/y6gMOeXBMgoNRIXLgQo/SX0DUaFFyP2Uy2ny5FmffPLhd6tXjxk2zJAFYX4+GRkVRiALzKyswmn8hoZkYkIxMSSTFetrYV2jxSKRGNjZ2SkEIWfgwIHffffdggULpFLpvn37+vbty+Lm1q1b1tbW9vb2bLOdO3e6ublxUxWIiM2mJ6KCgoLjx4+7urqqq4CmQXjlyhXlQgcHB1tb2/j4eAsLC67QwsIiTun2BEOHDrW2ttbX1w8ICHBzcwsODjY3N1d5Ilkxv3QAeM9U/twtGXUNPn6asjBTSEQqqndU4aIgl4K6um9bhETUt++Q5s1b3Lt398fNm7/+/PPC8DM2LtyaHSsnh3R1C+9SampKRkaUnk6ZmZSdTfn5eXl5wg/2ozIYNTp06NANGzZ4eHg4ODicOHHi5MmTrNzf33/48OHcoJPt27fPnj2bv2PXrl0tLS2trKyCgoIMDQ2//lrtPcs0DcI5c+YoF86cOXPw4MFmZmb8e4dmZGQoh9ykSZPYwoABA5o2bXr48OFRo0apPJGODgayArwnyi7SyicsBS4QlviypXJHaJEXGou8NKij807XqPJlwjflOt999+OAAd2XrFw5dODAxrVrk0xGRkaFmzJ5eYXPUeKCkKVgbi7l5xeZglSirlHhFqS+vr6vr+/ChQtv3brVu3dvbh79b7/9VrNmTSKSy+WNGjXKyclZsmTJ0qVLR40a9e233xLRwYMHJ0+evH//folEMm7cOH6DTYGmQXjx4kV1b9WvX/+PP/5gy/n5+c+fP69Xr566jXV0dOzs7FSOLAWA91iRyaGVETHC3ZXaOrVwd6jAcBuFEi4XFRY0eclkhTdK45KvoIAkksKf7O5prMtTIqG8vMLGnrt7t5Ejx+za9fvw8eMDT540NDGhgoJ3ZtZLpVStGlWvTpmZlJlJ1tZcCtK7z9dTR+stwtu3by9cuPDSpUsODg5DhgxZsmQJmxrYrFkzbpvw8PBbt26xNli1N7cFuHjxYnBwcFhYmJ6e3gcffLBjx46xY8eqPIUWml/9+/ePjIy8cOECEe3evdvS0tLNzY2Izp8//9dffxFRZmbmo0eP2MZnzpy5evVqly5dSn9egPeDXNuTzypWJf84AtWTFzWToTRHlquZNaGuAgovlYVy+Ts9ovwS/nhRrmuUDRRdvvynhg0b3bp9e/y0aXJu+oSJSeFUQnNzql6datSgmjXJyopsbMjWlmrVIjs74j1cT4DWp0/8/vvvvr6+Li4uxsbGc+bM2b59u8rN6tev7+Dg4ODgwD25fvv27f7+/ra2tpaWllOnTlW3I2llsIypqem2bduGDh1qaWmZnp7+559/stvbnD179t69e8OGDUtPT+/atauurq6urm5OTs769etbtWpV+vOC1r2v12bETCvNLK0T6HIsn5MWdzN+G45UPY5D4RPxKZSr6xFVaBoqH58fh6w5qNA7qm76hI5O4RVAFoSGhtV27vynT59Ou/7808rScs3ChRKuCamrS/TmybpGRpSTQ0ZGhQNKWQerBrTeNfr48WPuVjIuLi7x8fHJycnsUfB87dq1I6IuXbosX76cPQHpyZMnM2fO5HZ88uSJulNo5xZrPj4+gwYNiomJqV27tp5e4TEXL17MFqytrePi4uLi4mQymZ1m/6YAKD2x5fp7+XkF+hVLtju/XPhQmpyolD2x/B5R5SEzmveRshSUSBRTkOsp5bcIJRJydGy+c+f+jz4auHbduqzMzPXffacnkbwThKybNDe3MAi5K40aKEHXaG6uPCMjIzw8nF9oZWXFJp0nJSVxTzRiJYmJifwglEgkBw4caNeuXWpq6ty5c728vIKCgiQSicKO/KcBKtBOEBKRvr6+wKVBiUQi8AxCAABhpYn5Uv4TQbkNxy8v2bVPfstSZYuwuFnIgowfgayEXSNkLcK8vMLn3Usk1KlTz4CAfz75xGfztm3hz5/v2rzZysys8G0WhLm5lJdHOTlvZ1Zo1mWcm0s5OZp/u0RECQkRV65c6dmzJ79w5MiRrDVlaWnJPVyePX2eu9EMx8vLi4js7Oy2b99eo0aN58+fN2jQoGbNmvwdlffiaCcI8/PzHzx48Pr1a09PT3Xb3Lx5MyQkxMXFpXXr1lo5KYBovZeNv1Iqo++kxK09hUJGIThVtgj5vaPClwm5ViCXglwTUKFrND+/sGuU5SI7uIdHv4MHz4wa5X3qzJmWnTtvXLvWq2dP0tEpjED2YlfwuEuRGihB16ixcf2ePXv++++/Kt91dnYODg5my8HBwXZ2dgK3J2MX5uRyObdjnz592I4Cj//TwmCZwMBAc3NzT0/PAQMGqNtm+fLl3t7egYGB7D43pT8pAJSYZn/QKpImNRTeRvPPKJcr/lS5u7yo0S7q4krlufhvKVRAoNmnPDtC5d3UCgoKM4+92DU+etNW426KnZVFLi4dzp272aWLR0xs7OCPPuo3cuSdyEiysCALi8LxMpaWZGVFVlZkba3hbUhZ12ixXsKjRseOHbt///4rV668fv162bJl48ePZ+VfffXVkSNHiOj27dtnz5599epVeHj4+PHjW7Vqxe7oMm7cuF9++SU0NPT58+c//fQT/2bcCrTQInRxcQkPD3/58mXXrl1VbpCUlLRs2bLr1683bdo0JCSkffv2fn5+6ibUA0AlpLJXsKzPUuGELzFqsiUpja9R1yKkd2O4WH2krC3IXgpXB1kEcoNl2Dxt/r41atTev//Mjh2/LFky//iJEydOnuzVo8dnn37ar3t3A0NDyst7m8Bl1iLMzRV66IWLi8uPP/7o4+OTkZExcODAuXPnsvKEhISMjAwiyszMnDlz5rNnz/T19Tt16nTw4EHWLnR1de3Zs2eXLl1kMlnfvn29vb3VnUILLUJzc3MbGxuBDc6cOdOgQYOmTZsSUbNmzerVq3f27NnSnxfgvVf5m25F4n+ECv84ypUpbpUU4kDzgyj3cCrXSmXTkEgx8/gL6pqJ3M3VuBfXNcrv9WRtxLw8nY8/nnzjRtjkyTONjY1Pnjo1ZPhwG0fHD8ePXxcQcPnevfisLDI1pTcDT4RpffpEdnb2unXrmjdvPnr06KNHj966dYuVb9u2bdiwYUQUHR0dHx8/aNAgb2/v8+fPHzx4kG3w119/nTt3rmvXrh4eHllZWSw1VdLaYBkBUVFRtWvX5lZr16798uVLdRvLK/z/lXJU2f79K1r4D1HKb6BMv8AiDy7cWpUrDWkp7gHV7aLyyMQbAsMItxT5LUJ+05DfFiSlLGTv8q8RcgvcKhspqqPzzqhR/p27uIOzyDQ1tfzmm9WzZs3fs+f3PXsCgoNv7/vnn33//MM2lkqlpqam586da9mypdB3VwYT6v/66y8dHZ1jx47p6urWrVt3yZIlx44d42/g4eHx/PlzfX19IurVq5e/v//nn3/O3urevfuWLVuKrIBGQXjjxg32OAwF+/btc3BwKHL3goIC/o3T9PT08oX/AQAlIpK/5lX0Y1a5apd1hUtw/BIEWLGOXGT3r/DxuXeV+0IZdTMR+SmoMguVO0j5WcgNk+H6Rfm4IGQtQoXZh2xCBP/KoqGhxbhxMyZOnBEdHXH+/KkbN/67dy/4+fPwxMTEpKSkAg1uLqP1eYTHjx8fNGgQu9H24MGD586dm5+fz83To3cHkVpYWPBbU7Gxsfv27bOzs2vfvj07gkoaBWGTJk1+//135XJ+O09ArVq1Xr16xa3GxcUJzCaUVL6/FlXuTxhUiEr7e1JpK1Zi/Mgp5UTAIvdSzi3lzdRto7wLKbUXlduC3AIXckTv3E2Ubc9N6uNnk7rWMBs1mptbeASWeXp6hTMjdHVJT490dd8u6OhQ9er1hg4d/+GH41mU5ubmZmVl1K9frYgPSZSfX+ynTwi3jKKiorp168aW7ezsCgoK4uLiVKaPTCZbtmyZn58fW5VKpampqXv37r1582b16tVPnTql7najGgWhiYkJ92gozaWlpenr6xsYGHTu3Hns2LFxcXE2NjZxcXEhISGdO3cu7tHgfVVV/kxXbO9fOR+nnKsh0PGodcXqIy1yR5XNOy7VGOVmJf8t5a5RfvNUuV+UH4cMF5bsRKx1yGExyf1UmJXBdmRNQ5Z/LBfZfWbY680wHH1DQ331baq3StAizMxMCAkJUXi0g7u7++DBg998URL+gsqHFMnl8gkTJkgkkgULFrCSGTNmsDvL5OXl9ezZc8WKFermLGjhGmFycvJXX32VkJCQm5v72WefWVpaLlu2jIj69Onj7e09e/bsOnXqjBw5ctCgQaNHjw4ICBg9erSGTUkAqLTKIai0e5BSXibkyknNIwaJ3skwhV046lJTZaOQ/1OudGc1lW1EhYzg0pHrGqU3zU1uoA1rC7L8Y81Q5SAkDZq8TAmCMD9f39DQQKG5xp4sQUS1atXiHu0XGxuro6OjfHsWuVw+efLkx48fnzhxwsDA4M1nL6yxVCrt37//uXPn1FVAC0EolUrbtGlDRL1796Y3t8Ahoi+//JJ7PO+WLVt27doVEhIyefLkESNGlP6kAFDOSnkFrpQH0fAUJb70KHyZUJPgpKJ6UPlbMvwzKnecKgcht8CPQO4BFAy/dcgNk+G3CNnGurpvj8kNNOWCUCJ5JwhVfjR1SjBYRiar1qhRo6+++krlu927d9+5c+e8efMkEsnx48c/+OAD9jSouLg4Y2Njljhz5sy5devWyZMnTdUMbQ0KCqpfv766CmghCE1MTFQOpWH3vGF0dXU//vjj0p8LKrNK0i/HVwmrVGmV8rsqcQKV6S4q463E1CW6ugYo8dp5HIF+VK61R6rGzig0DUkpAhmBFiGLQ9YE5I4jl7/TI8oPQu5nsbKwBE+oF75GOHLkyNWrVw8fPtzJyWndunV79+5l5YMGDWIP5t29e/f333/v6+v7xRdfsLfWrFljYmLSt29fBwcHa2vrK1eu3L1797///lN3ivKYPlF28GdO6/CVVjYV2ANZ4b8MAg2ykjUBldNL3ZU/lVfvirxGKHBpkF8Hdav8JqDCSBmFBf7BFTpL+atstD67xRrR28nxrPHHbrLNLXMl/PwrnxahcHCampp+++238+bNO3v27JAhQz744ANWvmTJEnaDazc3t7///pu/C2syLlmy5MqVKykpKaNGjWLPkFd3Ci0EYUFBweLFi2/evBkbG7tz5042cV6Bv7//9evX2XK9evX2799f+vMCiFmFp5SwkjXdtHhGgQMKxGqRNVF3jVBl16hC5jEqt1HuEVXZFuRmCvIHkUokb1eVG4hs4gT3kx2HyzwuL7n2HzcTgzdMpnj/aUpwjVB4HmFoaOhnn322a9cuZ2fnESNGrF69mnWi9urVi23QqFGjRo0aKe/Ytm3btm3balIBLQShTCZLTU396KOPJk6cqG7q/pMnT3x9fbt3705EhoaGpT8pQJVTyaOr3JTz91Cy3tEiY1W4m1TdJUNSM3ZGoV2o0KGq8pKhQhtR+YBcgtKb/lIuCPlNRnY6rkWoMgj5Ry5SCbpGhYNw27ZtgwYNGjhwIBEtWrTo888/V3c1scS0M1jmxx9/JKJJkyYJbObg4MDG1ACUUqVNlMpQsTKtg+atrpIdUJPDavEDFnmo4n5e4e5WRnjsjEIhPxH5XaYKbUR+Q5CtcrcwUXmNUP5mkqJCECpfGuT3i2r4tZega1T4GmFISAhrRBFR27ZtIyIi0tPT1Q2KKRkt3GtUQ3PmzHF2dvb29uYeqKFMJpOpnCACUBmo7OmqEsqn5mVxFoUY0OR0wtXgt6uUSzT8CPxaqauh/N3hLQrlCi02lW8JvLj7i8qLeioFd8dRore3j+GeMMgt859Wwb8fKXtyBbesCe7pFpq/hFuQ8fHx3EMa2PN44+PjNaqKxjRtHdoC0wAACmRJREFUEf7222/KhR07dnR2dtZk95kzZ9arV09PTy8gIMDDwyMkJETlzWV0dHRyc+fn5s7XsFYAAKChqVNL25SeMmXKzz//LLzNjRvFPuzWra8mTjygcFuxadOmrV27logsLCzS09NZYVpaGisp9jkEaRqEKgeeNmzYUMMg7N+/P1tYtmzZyZMnjx8/rvLRUHp6eqK66TYAAEyYMGHChAnq3nVwcHj8+DFbfvz4sYWFRYUFoSY38NaQgYEBbroNAACaGD16tJeX15dffmlvb//jjz+OHj1a66fQzjXCFy9ehIeHy2SyqKio8PBwlnN79+5dvXo1EaWmph44cCApKSk9PX3Dhg137tzp0aOHVs4LAADvtw4dOkydOrVFixZWVlZpaWmLFi3S+ikkWumK9Pb2fvHiBbd65MgRW1vbdevWPXnyZN26dUlJSYMGDbp//75MJmvevPnixYu5W4kDAAAUKS8vLzc318TEpCwOrp0gBAAAqKLKb/oEAABAJVSJ7jWamJj4999/BwUFyeVyDw+P0aNHcw8UPnfu3O+//66jozN+/PhOnTpVbD2rnGfPnl25cuXhw4cdOnTghu/GxcWx2yAwXl5eHTp0qKAKVknR0dGXL1++d++ei4vLsGHDuPLExMQffvjh6dOnbm5uU6dO1dfXr8BKVmmnTp06c+YMt7pgwYIy6hZ778XGxq5aterly5edOnXy9/fnP9sdmErUIjxw4MC5c+c6d+7s6em5fPnyWbNmsfKrV68OHjy4a9eu7u7u/fr1u3PnTsXWs8pZsWLF7t272dfLFSYkJPzyyy8Wb3BP8AINrVu37tdffz1x4sSRI0f45f3794+IiBg5cuThw4enTJlSUdV7DwQGBl6+fJn7FZVU+D17qqaCgoLu3buzu2Du3Llz/nzM0lZFXmnIZDJu+cSJE1ZWVmzZ19d3wYIFbHn27NljxoypgMpVfRMmTJg1axa3ev/+/Vq1alVgfd4P8+fPHzVqFLd6+fLlmjVr5ubmyuXyiIgIQ0PDV69eVVztqraFCxdOmzatomtR5R06dKhBgwbsr2twcLC5uXl6enpFV6rSqUQtQv6/+KKjo21sbNhyUFBQly5d2HLXrl2DgoIqoHLvo/T09JkzZ86bNy8wMLCi6/KeCAoK6tixI3sETN26dW1tbdGBURpBQUGTJ0/+/vvvY2NjK7ouVdW1a9e6dOnC/rq2aNFCIpE8evSooitV6ZR3Z3F0dLRyYfXq1Y2NjbnV2NjYuXPn/vLLL9xqzZo12bKlpSX+l1CWlJSUlZWlUGhgYMB9b8qMjY0//vhjR0fHqKioAQMGLFu2TPie6SKUmprK3diJo6enZ21trW4X/u8qEVlaWsbExJRV/aq+jIyMlJQUhUIdHR1bW1siatiwYZ8+faysrAIDA5s0aXLz5k0HB4eKqGbVpvA7WbNmTfxOKivvIHR3d1cuXLp0Kff8+tevX/fq1cvPz8/b25uVGBkZ5eTksOXs7Gx+ZAIzf/78w4cPKxS2b9+ee5SzsgYNGqxfv54tt2zZcsqUKQhCBWvWrFG+xW7Dhg35l1oVGBsbc7+rhF/XogQEBCxfvlyh0MjIiN1Pi7uByKRJk3x8fNauXVvkXS5BGf/vJ+F3Uo3yDsLIyEiBd5OTk3v16tWvX7+FCxdyhXXq1ImMjGRjGiMiIuzt7cu8llXNhg0bNmzYUOLdXVxcEhIS8vLyWJ8eMIsWLSruPSzs7e1PnTrFlgsKCqKiourUqaP9mr0v/Pz8/Pz8NNnSxcUlJCSkrOvzXrK3t7948SJbzszMfPXqFX4nlVWia4Spqam9e/fu0qXLihUr+OVDhw7duXOnXC6XyWQBAQE+Pj4VVcP3SVxcnFwuJyK5XL59+/aWLVsiBUtv0KBBt2/fZtdgDh06ZG5uruEDskEZdxEkJSVl//797dq1q9j6VFFDhw69cOECu/PXnj17mjRp4ujoWNGVqnwqeLAOz6pVqyQSSYMGDRzeyMnJkcvliYmJrq6ubdq0adWqlbu7e2pqakXXtIpZvXq1g4ODmZmZubm5g4PD5s2b5XL5/Pnz7e3tPTw8GjVq1KhRo5s3b1Z0NauYHTt2ODg4VK9e3dTU1MHBYdmyZaz8hx9+sLS07N27d82aNQ8dOlSxlazSnJycmjdv7uHhUaNGjcGDB2dnZ1d0jaqq+fPn29ra9uzZ08rK6uzZsxVdncqoEt1iLTk5OTExkV/SoEEDNtipoKDg1q1bOjo6rq6uOjqVqBVbJSQmJiYnJ3OrNWrUYA+3DAsLi4qKsrS0dHJywhzb4kpNTU1ISOBWzc3NuSEJL1++fPr0qYuLi8BgJShSbm7ugwcPUlJSHBwc0JtXShEREc+fP2/VqhX3hFvgq0RBCAAAUP7QugIAAFFDEAIAgKghCAEAQNQQhAAAIGoIQgAAEDUEIQAAiBqCEAAARA1BCAAAooYgBAAAUUMQAgCAqCEIAQBA1BCEAAAgaghCAAAQNQQhAACIGoIQAABEDUEIAACihiAEAABRQxACAICoIQgBAEDUEIQAACBqCEIAABA1BCEAAIgaghAAAEQNQQgAAKKGIAQAAFFDEAIAgKghCAEAQNQQhAAAIGoIQgAAEDUEIQAAiBqCEAAARA1BCAAAooYgBAAAUUMQAgCAqCEIAQBA1BCEAAAgaghCAAAQNQQhAACIGoIQAABEDUEIAACihiAEAABRQxACAICoIQgBAEDUEIQAACBqCEIAABA1BCEAAIgaghAAAEQNQQgAAKKGIAQAAFFDEAIAgKghCAEAQNQQhAAAIGoIQgAAEDUEIQAAiBqCEAAARA1BCAAAooYgBAAAUUMQAgCAqCEIAQBA1BCEAAAgaghCAAAQNQQhAACIGoIQAABEDUEIAACihiAEAABRQxACAICoIQgBAEDUEIQAACBqCEIAABA1BCEAAIgaghAAAEQNQQgAAKKGIAQAAFFDEAIAgKghCAEAQNQQhAAAIGoIQgAAEDUEIQAAiBqCEAAARA1BCAAAooYgBAAAUUMQAgCAqCEIAQBA1BCEAAA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"outputs": [ { "data": { "text/plain": [ "ode_theta_linear (generic function with 1 method)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function ode_theta_linear(A, u0; forcing=zero, tfinal=1, h=0.1, theta=.5)\n", " u = copy(u0)\n", " t = 0.\n", " thist = [t]\n", " uhist = [u0]\n", " while t < tfinal\n", " tnext = min(t+h, tfinal)\n", " h = tnext - t\n", " rhs = (I + h*(1-theta)*A) * u .+ h*forcing(t+h*theta)\n", " u = (I - h*theta*A) \\ rhs\n", " t = tnext\n", " push!(thist, t)\n", " push!(uhist, u)\n", " end\n", " thist, hcat(uhist...)\n", "end" ] }, { "cell_type": "code", "execution_count": 20, "id": "68d37b6c-16b9-462c-8ea5-f4f113b479ec", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "k = 500000\n", "theta = 0.7\n", "thist, uhist = ode_theta_linear(-k, [.2], forcing=t -> k*cos(t), tfinal=5, h=.1, theta=theta)\n", "scatter(thist, uhist[1,:], title=\"\\$\\\\theta = $theta\\$\", label=\"\\$y_1\\$\")\n", "plot!(cos, size=(800, 500), label=\"\\$cos\\$\")" ] }, { "cell_type": "markdown", "id": "b2763e39-f815-44b2-868f-82bb701d7046", "metadata": {}, "source": [ "## Stability classes and $\\theta$ methods\n", "\n", "### Definition: $A$-stability\n", "\n", "A model is $A$-stable if the stability region\n", "\n", "$$ \\lbrace z : \\lvert R \\left( z \\right) \\rvert \\leq 1 \\rbrace $$\n", "\n", "contains the entire left half plane\n", "\n", "$$ \\mathcal{R} \\left[ z \\right] \\leq 0 $$\n", "\n", "This means that the method can take arbitrarily large time steps without becoming unstable (diverging) for any problem that is physically stable." ] }, { "cell_type": "markdown", "id": "ba12036b-5fe2-4e01-8660-d6e5846f3bf1", "metadata": {}, "source": [ "### Definition: $L$-stability\n", "\n", "A time integrator with stability function $R \\left( z \\right)$ is $L$-stable if\n", "\n", "$$ \\lim_{z \\rightarrow \\infty} R \\left( z \\right) = 0 $$\n", "\n", "For the $\\theta$ method, we have\n", "\n", "$$ \\lim_{z \\rightarrow \\infty} \\frac{1 + \\left( 1 - \\theta \\right) z}{1 - \\theta z} = \\frac{1 - \\theta}{\\theta} $$\n", "\n", "Evidently only $\\theta = 1$ is $L$-stable." ] }, { "cell_type": "markdown", "id": "ce125edf-4aa5-47ba-baa5-64acba6eb57b", "metadata": {}, "source": [ "## Stiffness\n", "\n", "> Stiff equations are problems for which explicit methods don't work. (Hairer and Wanner, 2002)\n", "\n", "The term \"stiff\" dates to Curtiss and Hirschfelder (1952)\n", "\n", "We'll use the cosine relaxation example $y_t = -k \\left( y - \\cos \\left( t \\right) \\right)$ using the $\\theta$ method, varying $k$ and $\\theta$." ] }, { "cell_type": "code", "execution_count": 22, "id": "a8008820-7078-4ce1-aa20-7da99cc90367", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ode_error (generic function with 1 method)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function ode_error(h; theta=.5, k=10)\n", " u0 = [.2]\n", " thist, uhist = ode_theta_linear(-k, u0, forcing=t -> k*cos(t), tfinal=3, h=h, theta=theta)\n", " T = thist[end]\n", " u_exact = (u0 .- k^2/(k^2+1)) * exp(-k*T) .+ k*(sin(T) + k*cos(T))/(k^2 + 1)\n", " uhist[1,end] .- u_exact\n", "end" ] }, { "cell_type": "code", "execution_count": 23, "id": "69e365cb-5118-42f0-8456-1b107942fde7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hs = .5 .^ (1:8)\n", "θ = 1.0\n", "errors = ode_error.(hs, theta=θ, k=100)\n", "plot(hs, norm.(errors), marker=:circle, xscale=:log10, yscale=:log10, ylim=(1e-6, 2), label=\"error\", title=\"\\$theta\\$ = $θ\")\n", "plot!(hs, hs, label=\"\\$h\\$\", legend=:topleft)\n", "plot!(hs, hs.^2, label=\"\\$h^2\\$\", ylabel=\"error\", xlabel=\"\\$\\\\Delta t\\$\")" ] }, { "cell_type": "markdown", "id": "af1deaf6-aac1-492d-a781-5c8b2e1755b1", "metadata": {}, "source": [ "### Examples of stiff systems\n", "\n", "Stiff problems posses multiple time scales and the fastest scale is \"not interesting\".\n", "\n", "For example, the ocean.\n", "\n", "Non-stiff problems are ones where there is only a single time scale or there are multiple and we are interested in the fastest time scale.\n", "\n", "For example, the ocean." ] }, { "attachments": { "7b84728a-80ab-4e9e-92fe-8df45a2fb05c.png": { "image/png": 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} }, "cell_type": "markdown", "id": "896102f2-3bfd-4394-b338-3fc816914f1b", "metadata": {}, "source": [ "## Adaptive time integrators\n", "\n", "The [Oregonator](http://www.scholarpedia.org/article/Oregonator) mechanism in chemical kinetics describes an oscillatory chemical system.\n", "It consists of three species with concentrations $\\mathbf{x} = \\left[ x_0, x_1, x_2 \\right]^T$ (scaled units) and the evolution equations\n", "\n", "$$ \\begin{split}\n", "\\mathbf {x'} = \\begin{bmatrix}\n", " 77.27 \\big(x_1 + x_0 (1 - 8.375\\cdot 10^{-6} x_0 - x_1) \\big) \\\\\n", " \\frac{1}{77.27} \\big(x_2 - (1 + x_0) x_1 \\big) \\\\\n", " 0.161 (x_0 - x_2)\n", "\\end{bmatrix}\n", "\\end{split} $$\n", "\n", "We simulate from the initial conditions $\\mathbf{x}_0 = \\left[1, 2, 3 \\right]^T$.\n", "\n", "![image.png](attachment:7b84728a-80ab-4e9e-92fe-8df45a2fb05c.png)" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.11.6", "language": "julia", "name": "julia-1.11" }, 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