{
"cells": [
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"cell_type": "markdown",
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"source": [
"---\n",
"title: \"Finite Differences\"\n",
"subtitle: \"Lecture 12\"\n",
"date: 2026-03-23\n",
"abstract-title: Overview\n",
"format:\n",
" html:\n",
" other-links:\n",
" - text: This notebook\n",
" href: L12.ipynb\n",
"---"
]
},
{
"cell_type": "markdown",
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"source": [
"::: {.callout-note}\n",
"\n",
"I encourage you to play around with the juptyer notebook for this lecture - you can copy the code with the ```this notebook``` button on the side of this page.\n",
"\n",
":::\n",
"\n",
"::: {.callout-warning}\n",
"\n",
"These notes are mainly a record of what we discussed and are not a substitute for attending the lectures and reading books! If anything is unclear/wrong, let me know and I will update the notes.\n",
"\n",
":::\n",
"\n",
"::: {.callout-tip}\n",
"\n",
"This chapter is mostly based on \n",
"\n",
"* @Burden Chapter 11, \n",
"* @FNC Chapter 10\n",
"\n",
":::"
]
},
{
"cell_type": "code",
"execution_count": 88,
"id": "f8408d86",
"metadata": {},
"outputs": [],
"source": [
"#| echo: false\n",
"\n",
"using Plots, LaTeXStrings, LinearAlgebra\n",
"\n",
"# IF YOU ARE READING THIS, THANK YOU\n",
"# FOR DOWNLOADING THE LECTURE NOTES.\n",
"# THE FIRST PERSON TO LET ME KNOW,\n",
"# WINS SOME CHOCOLATES OF YOUR CHOICE"
]
},
{
"cell_type": "markdown",
"id": "81473756",
"metadata": {},
"source": [
"## Boundary Value Problems\n",
"\n",
"We will consider the following abstract formulation of a boundary value problem. Suppose we have a differential operator $\\mathcal L$, a \"nice\" domain $\\Omega \\subset \\mathbb R^d$, and *data* $f$ (source or sink) and $v$ (boundary values). Seek $u : \\Omega \\to \\mathbb R$ such that \n",
"\n",
"\\begin{align}\n",
" \\mathcal L[u] &= f &&\\text{in } \\Omega \\nonumber\\\\\n",
" u &= v &&\\text{on } \\partial \\Omega .\n",
" \\tag{BVP}\n",
"\\end{align}\n",
"\n",
"This is a problem with *Dirichlet boundary conditions* (the values of the solution are prescribed on the boundary).\n",
"\n",
"::: {#exm-BVPs}\n",
"# Linear Advection-Diffusion-Reaction Equations\n",
"\n",
"Consider\n",
"\n",
"\\begin{align}\n",
" \\mathcal L[u] := -\\Delta u + p \\cdot \\nabla u + q u\n",
"\\end{align}\n",
"\n",
"In the context of semiconductor physics, $u(x)$ represents the concentration of charge carriers at a position $x \\in \\Omega$. Each of these terms relates to the physics in question: \n",
"\n",
"* $-\\Delta$ : diffusion; electrons move from areas of high concentration to low, \n",
"* $p \\cdot \\nabla u$ : advection (drift); the solution is driven with velocity $p$ (due to e.g. an external electric field), \n",
"* $q u$ : reaction; electrons and electron holes are being created or destroyed.\n",
"\n",
"The same equation also models e.g pollutant transport in a river, drug delivery in a blood vessel, asset price in finance, heat transfer in fluids, ...... \n",
"\n",
"Here, we solve this problem numerically in one spatial dimension:"
]
},
{
"cell_type": "code",
"execution_count": 89,
"id": "db6fe346",
"metadata": {},
"outputs": [
{
"data": {
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",
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},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
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",
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",
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"\n",
"\n"
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"function adr_1d(n, p, q, f)\n",
" h = 1/n \n",
" x = h:h:(1-h) \n",
" \n",
" # Finite Difference Coefficients\n",
" # -u'' ≈ (-u_{i-1} + 2u_i - u_{i+1}) / h^2\n",
" # pu' ≈ p * (u_{i+1} - u_{i-1}) / (2h) [Central Difference]\n",
" \n",
" d = (2/h^2 + q) * ones(n-1)\n",
" d₋ = (-1/h^2 - p/(2h)) * ones(n-2)\n",
" d₊ = (-1/h^2 + p/(2h)) * ones(n-2)\n",
"\n",
" A = Tridiagonal(d₋, d, d₊)\n",
" b = f.(x)\n",
" u = A \\ b\n",
"\n",
" # Dirichlet boundary conditions\n",
" u = [0.0, u..., 0.0]\n",
" x = [0.0, x..., 1.0]\n",
"\n",
" return x, u\n",
"end\n",
"\n",
"# u'' = diffusion\n",
"# p = advection\n",
"# q = reaction\n",
"# f = source \n",
"\n",
"f(x) = 1.0 \n",
"\n",
"# diffusion\n",
"p, q = 0., 0.\n",
"x, u = adr_1d(100, p, q, f)\n",
"P1 = plot(x, u, title=L\"Diffusion: $-u′′ + %$p u′ + %$q u = 1$\", \n",
" xlabel=L\"Position $x$\", ylabel=L\"Concentration $u$\",\n",
" label=L\"u(x)\", lw=2, m=1)\n",
"display(P1)\n",
"\n",
"# Advection (drift)\n",
"p, q = 50., 0.\n",
"x, u = adr_1d(100, p, q, f)\n",
"P2 = plot(x, u, title=L\"Advection: $-u′′ + %$p u′ + %$q u = 1$\", \n",
" xlabel=L\"Position $x$\", ylabel=L\"Concentration $u$\",\n",
" label=L\"u(x)\", lw=2, m=1)\n",
"display(P2)\n",
"\n",
"# Reaction (decay)\n",
"p, q = 0., 100.\n",
"x, u = adr_1d(100, p, q, f)\n",
"P3 = plot(x, u, title=L\"Reaction: $-u′′ + %$p u′ + %$q u = 1$\", \n",
" xlabel=L\"Position $x$\", ylabel=L\"Concentration $u$\",\n",
" label=L\"u(x)\", lw=2, m=1)\n",
"display(P3)\n",
"\n",
"# Advection + Reaction\n",
"p, q = 100., 100.\n",
"x, u = adr_1d(100, p, q, f)\n",
"P4 = plot(x, u, title=L\"$-u′′ + %$p u′ + %$q u = 1$\", \n",
" xlabel=L\"Position $x$\", ylabel=L\"Concentration $u$\",\n",
" label=L\"u(x)\", lw=2, m=1)\n",
"display(P4)"
]
},
{
"cell_type": "markdown",
"id": "e1c9b77e",
"metadata": {},
"source": [
":::"
]
},
{
"cell_type": "markdown",
"id": "2b89e0c9",
"metadata": {},
"source": [
"Aim of today: Understand how did we did this\n",
"\n",
"## Finite Differences\n",
"\n",
"We numerically solved the following problem \n",
"\n",
"\\begin{align}\n",
" -u''(x) + p u'(x) + q u(x) = f(x)\n",
"\\end{align}\n",
"\n",
"by solving a linear system of equations (more generally, $p$ and $q$ can also be functions of $x$).\n",
"\n",
"In order to do this, we needed to approximate the linear differential *operators* $u \\mapsto u'$ and $u \\mapsto u''$ with matrices. Suppose $u : [0,1] \\to \\mathbb R$ solves the equation above with the boundary conditions $u(0) = u(1) = 0$. We try to approximate the solution of this equation on the grid $\\{x_j\\}_{j=0}^n$ where $x_j = \\frac{j}{n}$. We will let $h:= \\frac{1}{n}$ be the *mesh size* and let $u_j \\in \\mathbb R^{n+1}$ be an approximation to $u(x_j)$. Since $u(0) = u(1) = 0$, we can simply set $u_0 = u_n = 0$ and we want to write an equation for the remaining variables $u_1,\\dots,u_{n-1}$. \n",
"\n",
"::: {#exr-forward}\n",
"\n",
"Explain why \n",
"\n",
"\\begin{align}\n",
" u'(x_j) \\approx \\frac{u(x_j+h) - u(x_j)}{h}.\n",
"\\end{align}\n",
"\n",
":::\n",
"\n",
"We may therefore define the *forward difference* \n",
"\n",
"\\begin{align}\n",
" \\partial^+u_j := \\frac{u_{j+1} - u_j}{h} \\tag{forwards}\n",
"\\end{align}\n",
"\n",
"There are many other ways of approximating this derivative:\n",
"\n",
"\\begin{align}\n",
" \\partial^-u_j := \\frac{u_{j} - u_{j-1}}{h} \\tag{backwards}\\\\\n",
" \\partial^0u_j := \\frac{u_{j+1} - u_{j-1}}{2h} \\tag{central}\n",
"\\end{align}\n",
"\n",
"(these are backwards and central differences, resp.)\n",
"\n",
"::: {#exr-central}\n",
"\n",
"Show that $\\partial^0 = \\frac{1}{2}( \\partial^- + \\partial^+)$.\n",
"\n",
":::\n",
"\n",
"::: {#def-accuracy}\n",
"\n",
"We say a finite difference is *consistent* if the error $E(h)$ between the exact derivative and the finite difference goes to zero as $h \\to 0$. Moreover, we say the finite difference has *order of accuracy $p$* if $E(h)=O(h^p)$ as $h \\to 0$. \n",
"\n",
":::\n",
"\n",
"::: {#exr-}\n",
"\n",
"What is the order of accuracy of $\\partial^+, \\partial^-, \\partial^0$?\n",
"\n",
":::\n",
"\n",
"* Example 5.4.1 from @FNC, \n",
"\n",
"::: {exr-1}\n",
"\n",
"What scale would you use to plot the error curves to see the order of accuracy of $\\partial^0$ method? "
]
},
{
"cell_type": "code",
"execution_count": 109,
"id": "0214a054",
"metadata": {},
"outputs": [
{
"data": {
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mn7OzMwCgQgk2/Lx9x7ZtrTt+12/mqlIFqFCiv8eNrPaLXrQ3jjfzRIUS1eu06rupaNCgn49fCTEL4lMA38qWWplDJeOWhzBszPB8CnIGt+jIqfMbN81zdycAANAuC9PS0jw9PalUHAAA2NqF3zhv3KsePbobv4VJOBvEd999l5KSMnny5Fu3bhkOdurUacuWLe9sfvhP0tPTXV1djY+4ubndv38fAMBgMPh8Po/HMz47ffp0iURieOvi4lLnr25YMBBCUH1VlaZJKl+oFVUqJTaAq1lXieq13YbdQHAEAIBOIy/IPIYnUMk0/ts0lVQumcKlMq0NTZlZ+Lbu/kvDdk+tVu/Y85unq0tYWBcAgFIHKpRo7779Xr7MHTN/tU2rrhVKtEIJ/pwcV+0fs6b3OPacsxVKwCYB5V+J8pCxt27utYlFBVRgR0cCg9ukXN0TGdVnRU88n4LQCcSTgrXXk1MWzpjK5eIBACC4/Y99r9BoNMMgY/jgmOGD3y7NRxAEDuNMwt/f/8aNGzk5OU+ePCEQCL6+vvXPXPr+jkAqldqyZct/u75RbaI3BgMhBP0ruaS46nWa0TxcJZamUq0Sh/T61cy85qdAQeZfamUlltPEzMKPTOOTqVwShUuhC7AoCAAgkBitu29t2O4VFRVdu5bYq1ekYWF6tRp07zMgJzd3xspN5j4h5UpQpkBv/7X37r2HuLztNvPPColctQ7wyWhZepYuIPp04p0wjzA+BfHlgE5dOl878b9+/QcsjybyyYCAA8WdN+z6fX//ubu9vWsybU7ftlyjWWS8PjCqZ48oo/UmAAAWC5bNa6QQBHF1dX1nDAcBGAihb5NWI6soSsbWUtZUjFPWrKt0D5zg5DsEu6zk5aWyghsUGp9E5dFZ9hyBP5amkkLjGw/jmnd8N3lVfZSUlIhEIuM91wCABSvXHzh6YvbCJR4hYWUKtFiMF+t1W4bGiF278PZNt4zbjo3qqKhK9jhTF9Bn99832/CC+WQgoCLdgpplndjKM2ef7sOxZhFZRAAASHLaeevOvfGjR7BYNUFuwvq56Lo5xo9bbWxsFs+f/U73/m2VPAQ1XTAQQl8VFNULX6UopK//OQ9XrlZUca0CDBsAqsvScx79Zng4yeQ4vymIyqGbORhac2k+3KX58Pr3ypCO2dijx48Xr08YM6R/aJduZQq0QgkqlCD3Vdn8wd9pqZyOYxcRvDoIlQAb1Um2/4FGLpr7v/0BlE4WVMQMj1gygK2Ta/7zK+F9+szsiOdTAJ+CkHDEM9brk1JS506bYIhwoFnr+KgUPN64fgJo26ZN2zZt3ulSY879AUGfDwyEUJMhrsiSifKxfd8qhdCwPQ5FtZ0Hn8cyLKuV1Vl3NxHJbDKVR6JymBxnknUglqaSxrIzNFXPFMwfpNFo/v77b29vbw8Pj5ojeiBUgUs3kqZOnsxksWf+erFSgxeq0AolKFWgKStXSVsOPBU3l760kzkFsaACPhkwVUCPAhyqb8ZD2nrg+BSETwEWVOSq2crfj5xY88scLy8CAEAqVdDp5KV//y4Wi995FNkjIrxHRPg7fXsnCkLfJplMdvXq1YyMDBwO5+vr26VLFzKZbOpONQowEEKmp5KXV5dnGGrFqZVVKlm5SlGpVlYHR+5icmqWlmXf/1mjEtfkNHmTppJM5dKYNoY6A2Qqt130wQbplU6n+2D8+OPQ0Z1/HF46b5a9X2C5AlSoAPZY8vSe/yU9zMDnxgdsvi/UEMoUqEQD+BSAu/lEZBssy7396JXEms92ZSHBFsCcgsuYHLtpzcpRk0fGDzN+2CgoC74sFovfmciJjuoZHdXz/c7ACTmolo4cOTJ9+vSioiLDEVdX182bN3fv3v0jn/q448ePG8ow4fH4qKgokUh08eJFAACdTndwcHB2djbeSp+ZmZmUlKRQKIKDg1u1alXn721wMBBCn5FOq6wqTVMrqpTyCrVC+GYerlKtqHRvOd7WIwq7LDf9QHlRMpnKw+p9s3ieZNu2ZBqPTOUboiAAoFV4QgN3T6dLSkpq1qyZcdIsrR5UqMCBo8eXL19u5+wW99OfWKgTKkG5Ei1TgPQ5K3W9l4fN+Ml26j4BFWDPJPkUYGPvSD13iM1hrwsmmVMRPgXhkQEAQNVvxJ69f/h4DmofyjX+9q4De/wwsAd4j4WFhYWFRcPeKfSN27Vr15gxY945+OLFi8jIyCNHjkRHR9et2ejo6PDwcOy3MRKJFBUVlZ+fHxMT069fP71eX1xcnJGRMW7cuDVr1uDx+AsXLowYMaJ79+50On358uVxcXHvV4YyFRgIobpBq8sylLJS4xo62GITvk2Qb7sF2EXlhUnZ97aQKFwylUem8WlMW45FMxKFQ6Jy2XxvQ1uerafWs+T3R5y/cDHpXuqsKRNYLJZUAyqUaJkSVChBhRLds2HZncw8cvmzTltuYaO6ciVarQZ8CtCeuF/t1VOR9teTKpRPAS5MJMgc8Ck4Cyr4e+bkQ39u2rwqvkunf/7zCepTPaITi8V6Z+sbmUweP2bUZ7o7CPokoVA4Y8YMw1smmYCiQKrWAgD0ev2ECRPCw8NpNNq/N/Ax69evf78M0+HDNSlqMzIyIiMjWSxWfHx8UFBQXl4elnS0b9++3bp1W7hwYSPJQQoDIfQumahALi407BlQKaqwCIfg8O36HMCuUUhfP7wym0ThkKgcEpVLpvDolgHYQ0vjMZylUxdLpy6fu8Pb9uzdvf/w4viFTs2DsAhnCHVlUs2xMdM1LaK3xP2i7joDjwAeBbGgAHMq4JMRFYGGl1cxqeTh7gifjDOM7QAA4sg5O3/d22nx3oCAd5+Otpg0Mn7SyA/2pPGkY4Ygg9OnT4vFYuz1kg6eI/0d9Ci6+W7Oxrs5AIDS0tLLly/36tXrc3y1j4/P/PnzlyxZEh8fb/yvg06nv00Y1AjAQPgNUSurhJIsQ5lvpbwCW1SpVla37r6VxrTBLku7Ok+nVZCoPDKNT6ZwGGaOZKsAEpXLYDsamqIyrDoNOtuAfVMqlVgxnfeVVcvCevUVSWXLtu5HuLbvhLoKJXi+5Ed99Iq+8T+7Tg3kUQD/TahzZiKtzUlZPj6vnp39JWFT945E6jt/3zvOycrKcnZ2xpJVGmOxWDOmTmrAG4SgBqcuyFY9f/TJyx5fOIG9ENDJo/wdAAB4BJka5LI9NU+u0QEA0k4f6kRXfrIdilcrovW7e/AHDhyIzQJGR0fPmzfv/U/5+voWFxdLpVJDQnO9Xj9//vxx48Y1nq04MBB+DfQ6jbjymQqbh/vns0r3wAmGsjj5T/aIyx68GcNxKTRzFs+DTOWSaeY0o11xbfvsb9juCYVCGo32fvp5rR4IVaBCifaLjHhVVjFg8kL7dr2w2GYc6kBJjroaAK7nlrP3fDrZYKEuiImN6nA8CjizcOahw9u3rI8PCf7A3+ch5w59pG/vbNeDoKYERfVy6aev0tRU5UX//YLatPNBS5YswTKl8fn8f+kjCox25qAoOmXKFJlMtmrVqrp94+cAA2FjJ6nKMWSnVMkrVEqhWlGlVlTybUM8WtUMWYpfnMm+9z9skwC2kJLF8yDbtiHT+ByBv6Ept1YzmExmw3avpKSESqW+/0jQMBt3+07KoukTcXrNyJ1XxUQzwzDOMBvHJ4Gc/EKdT3jqk3TLNpHOTKS1OeBRcIYHmFRCswRu34rKqoWzehGJH1jG6TU2dubY2Ia9Lwhq/EgOniSHT/8m51+JB8fOAQDKZKqdqXmjWjjoUbDpbg42HAQABPQdyo6MrFsfPD09P56t9MmTJ7a2toZSTbNmzUpJSbl06VKdZyU/BxgITUYlr5BLit4UiqtUY9vj5EICiWFYHimtfpl8agSZyiFRuCQql0zj0xg2WFlUtvnbxSZ2Hr3tPHo3cPdUqtLSUnt7+3eOY4sqhUq0QgmS795dOXsK0CoH/e+CjGqBLarEBnmG2TiQXq5iWuJFr0g6RZA1BxvGYbNxPErNpofHHn+mPEgdHDOARvvwdrfJce8ueIMgqJaw5SrYNOGym9k/3c3Ro6ghClpaWoaF1auW8kekp6evXr16/PiaklgLFy68fPny1atXG1u1ehgIG55WLZWLi1TKSkP+ZaykjkZZHfjdZjKt5gFC0okhAABSzZ4BLE1lMzKNz2C/zWzCMHPuNuxGw3ZPLBbT6fQP7pCTaEC5Ei1XgHIlOvK7tnICK7TvMOvO3xvvHxCpAY8C+GSETwFojlxDYuL1WhuyxtUOwRZV8inYMO5No717Xg9l8vl8Hx/bf+tSs2bNDOXrIAhqWFwud+PGjaNG1SxdxtaLYnA43NatWxu2ai6KogMGDNDpdEVFRdnZ2ePHj58zZw4A4MyZMytXruzcuXNcXBx25ZYtWywtLRvwq+sMBsL/AEV1MlH+23rfykqVXIhNy7m1jDO3DcEue3JzeUXxXWxLHJluTqJw6Gx7jmULKt2CRH27k6zz4Av/8j0NDxvG5YuQm+cuL4+fR8IjE36/WaUlYI8oDbvCCQjgUxABFfDIeqlSrbOyAnJRGwHCpwDePxdV1ujZObWTGYvFcnV9d+BorEOHDp/7BiEI+oiRI0ey2ezp06cXFBQYDrq5uW3ZsiU8/N08RLV3/PhxBwcH4yMODg6HDh0CAFCpVHNzcz8/P8MjUD8/P8O2Coxh+YzJwUBYQyl9rVIIsf+92fRdpVII+bYhhmyTeRkHs1MSDPNwJCqHTOVhaSrNLN4+JW/Aet+1IdGAJes3//bbb137DIoYPfOd2Ia9FasBnwI4RJLudoGM76UuTlMpFS4cFrY3DtsVzjMexgHwKul8dnZ2hw4dPl4QLiAg4LPfIQRB9da3b9+IiIjExMT09HQcDufn59epU6d6buPr3fvdGRk2m92/f/8PXmxvb//+VEsj8fUHQo1aopSWqpVVNRHuzfY4EpXbrP0S7BpRRWbS8SHYRm8KjU+ickkUDpPryqO25lm9ra3l5DvEUJfgc1uwYu312ynr161j2jhXKEGZAi1X1ky/vT+M0xw+r+4w/czZ3aSIGdi4zY0F3h/GSSQSWt9hp//muTjP8vP7xI43a2tra2vrj18DQVATQqPRunfvXp+cal+rJhwI9Tq1Ul7+JrZVGXYOaFSSFl3WEMksAACK6q780RXB4WuGcRQuicql0i3ZPC8G9+2+bzbfq/uY1M/XVbVafejIUU93N0N6PbEGGAoOVCjRCtU/38o1L7btQztP7Lp0v+PA+fw3e+P4FIBlquRTcNhbbBj3ol3Czr1/jjiyzdPzE7mV8Xh876ioz3enEARBn5UORfENvRO/CQfCexemCItTyFQumcYnGdJU8r1oDCsCqWapLoLgw0feafCv/rd0zAAAtR4I34tt1w7tuZWSistd67HqeiVgVChREh4YCg7wKAifAswpiKcZ9hbHp+C3Z31/987FvT9vcHH59H8jV1fXtcviG/ouIQiCGpGH1dU+Fy7nyuRnQ9t0NP/wtsW6acKBMKj7ti/8jdVqkFsm6tUjXKFSz0w4gBe4lSlQw4rKChUolaNyHeCTa55GmlMQcyrgk0EzL4+Hx3eZcZi/h9EFdDyPglA+VRXnpyVzv8g9QRD0rUBR9NmzZ+np6Xg83tfXt8mVqreiUBKCW7szGeSPLlyogyYcCOtDoVDs2PObv59Ph/btAQAqXc0YDts5YHhciU3OVSgBVkOOigec6pLXahLgOl+6n9Wis6sFFfHmAB4ZMUQ+zgfLe7XstDbmJoVCaTy59SAI+qakpqZOmTIlKSnJcKRjx45btmzx8/OrZ8sikej+/ftqtdrT09PJyQkAIJPJsrKyAAAcDsfW1vadJTlisTg1NVWtVvv7+/+nQiuWFIof+7PUHfv6A6FhgUmFEhWqQJkClCvRG/t3PMjOw6/bZrv8ZgVKVetqxnBYEVQ+GfAowMsM4ZOBBRVbb4KV/wYAeJ5ynlVaLhw1PPLjyynf0bA7dSAIgmrv7NmzUVFRWq3W+Dm14XgAACAASURBVGBiYmJQUNClS5fatm1b55YTEhLi4+P9/Pz4fH5aWpqnp+e5c+ceP34cGhrq7++v0WiKiooEAsHcuXOHDh0KALh06VL//v39/f2pVOrt27e3bds2aNCg+t5evX2hQJiXl5eUlEQkEiMiIhoky9eduymjp8//LqJ77PhpZcq3oa5CCd55yyQCCyq2Ew4btAFrGhIW5P/i/O+WdpYne9Et6XjWf0n92ivyA/VRIQiCGieZTDZ69Oh3oiBGoVCMGDEiIyOjbvmvT548OX/+/MuXLwcFBQEAUBTdtWsXdopOp9+/fx97ffTo0WHDhhEIhMGDB3t6ej579gwbCP7xxx9Tp079VgKhUqkcMmRIVFSURCJZsGBBSkoKh8OpZ5s//7o/w29U5rYVl72nmFNqQh2fgvhwQEdKzTAOi3zEDw7b/DqsGHjv3xa8QBAEfTXOnj1bUlKCvbbu5mQf5Ybq0LwjWaU3CwEAz58/v379et2yrP30008TJ07EoiAAAEGQ98v/AgD69ev36NGj9evXDx482M7OznDc3d1dJpN9ZO3hF/MlAiGFQjE8mM7IyLhz505EREQ925w/Na5k/vIBK+aNja7jLZj8jx6CIKg+XklfP6vM+eRlp26ewV4QmSTXWB+AIAAAt5HNyu8U6zV6AMBf108S3D89d+PN97Cg/WOt5sOHD6dOrVVJ7bZt265ZswZFUeN1Ehs2bBg4cGBj+FH8RecIJRJJenp6/edmAQBeXl6Xjx+ofzsQBEFNVL6o6Fr+rU9e9rIiF3uBJ+PBmziEI+BwRDwWCLNLn3+yHQRBzCjsdwKhRqOp5eoHGo2m0+l0Oh2BUBN0VqxYkZmZefPmzdp8/HNr4EA4efLkwsJC4yMbN27E1hFpNJohQ4bMmDHD1vZfky9DEARBtRRiExhiE/jJy6wy2Lf/vAEAUFYohKmlvAABAKD0VqFWrsEuGBc2ckDogDp0wNnZ+dmzZ7V5wvf06VN7e3tDFPzpp5/27duXmJj4fgU3k/hvgVAkElEoFDL5H1sECgsLRSKRl5cXHo9fsGCBRqMxPoslF9dqtUOGDAkNDR03blz9Ow1BEATVUmRk5A8//KBSqQAAGRtTGA5sVIfKCsXYWSaT2a1bt7q1PHjw4P/973+jR482lBvMycnB6vQaKy0tXbt27ZAhNfkpd+7cmZCQkJiYaGVlVbfvbXC1DYTjxo07derU69evt27daiiigaLomDFjzpw5IxAIlErlxYsXP5hTVa/XDxs2zMHBYfTo0VVVVXQ6vZ6ZXiEIgqBasrGxmTdv3pIlSwAAAAXSPJHx2dWrV9d5WDZz5swbN24EBASMHDnSwsIiNTX1r7/+Ki4uBgCoVKq1a9dKpdKcnJwzZ8707Nlz0aJFAIALFy6MGzcuJiZm69atWCMLFixo8ILh/1Vtd8L16dPn6tWroaGhxgcvXrx46dKlzMzMtLS0jh07Ll68+IOflUgkZWVlaWlpAwYMGDBgQGJiYj07DUEQBNXeokWLVq1aZRi3YdhsdkJCwsSJE+vcLJlMPnfu3Nq1a0tKSh48eODm5vb48WMAgIODw9KlSwEAHA6nZ8+eaWlp+/fvxx4lWllZrV692t/fn/NG7TdkP01/smvHtpbuzl3bBGED3IaCoCha+6s7deoUExNjGBGOGjXKzMzsxx9/BAA8ePCgffv2EonkP20zN/b06VN/f38bGxvDkSlTpowePbpurUHvk0qljacAGFQfMpmMRqPBREVfAYVCQSaTa/Njc+7cue7u7rVcpflBhYWFR48effr0KQ6H8/X1jYmJ+U+JXUzr0KFDG+fPKKoQdnGyyBRrfz9zuZbLTSgUyid3SdZrsUx+fr6hHJ2zs7NcLq+oqKjznyyNRhMIBFeuXDEcEQgE7/wKA9WTyR9BQA0CQRA6nQ4D4VcAj8dTKJTaBEIcob5rG+3s7KZNm1bPRkzolUI3dOQYCxvbSHtHLy+vBmy5Xn+yMpmMQqkpWI4topVKpfX5FYNAIDg7O9enSxAEQV+HQrniSll5lkSSJZY8FUte5eav/LZ/PLZp32HVxi2fo+V6BUKBQFBVVYW9rqysBG/WiEIQBEG190qhzJRIsiUSXxar/ZsCQ3+XvE4WVnqxmEMd7b1ZzF/O/23aTn7F6hUIW7Zsefv2bez17du3vby8aDRaQ/QKgiDoq6XW68+/Ls0US7IkkvRq0XOZnILHebNYHkyGv9ECzvEuTuNdnAxvcQ3xJFytVmdnZ+PxeDc3t7rlF/0q1TYQXrlyJScn59WrV7du3cLhcN26dXN0dBw5cqSPj09CQoKHh8fcuXNnzZr1WfsKQRDUtMh1uiyxJEsikWp1Y50dsYN5Mvnu3HwPJiOUzx9qbdWMx+NRPli/rSGVlJTMmTPn4MGD2FZvEok0YsSIlStX8ni8+jdeUFCgVqsdHR0J9Z7INInarvB8+fLlgwcPOnbsSKfTHzx4UF1dDQCwsbG5cuVKcnLy5s2b586dCzfLQxD0jXtYXb3jZd60tCfhN287nb1gfvLMqPupp1+9Vul1hmvcmYyTbYPXNfMd6eQQxDHjkD77yCw1NdXLy2vfvn2GhCdqtXr79u3e3t7Z2dn1afnMmTMuLi6BgYG9e/fmcrlTpkwBACQnJ+NwOC6XS6fTuVxur169jOsgYjZt2oQgyJ49e+rz7Q2lttF7zJgxH0wr3rJlywMHYM5PCIK+LXoUzZcrsiSSbIkkxs7W6s2ywf+9eIkDiCeL0c3SwoPJcKTRGuSRZn1oNJrBgweLRKL3T5WVlQ0dOvTOnTt1W4GclJTUv3//3bt3Y6WUpFLpsmXLsFNMJhNbOFJeXr5r164uXbqcOXOmS5cu2Nm8vLw9e/Y0SN7pBtEkh7EQBEFfWLlKlVhegS3gzJZIsyUSczLZk8X0+ueWpN2BAabq4b+5dOmSYdjX1rnjoMAROr3m97s7UgtTAAApKSl3794NDg6uQ8urVq0aOnSooaAgg8FYt27dO9eYm5vPmzevuLh4yZIlWCBEUXTs2LE//fRTfHx83e+qQcFACEEQ9A/VGg0W8BzotC4W5tjBC6/LTrx65clkRlpbzmIyPZhMOsHE9YO0Cp1SqP7kZTcv1TyWpJMYy3v+SMSTAADuFt6R29pr9VoAwI0Lt3xtm3+yHSqfjKf8Yzbtzp07WN35T/ruu+927dqFlWHavn27vb19WFgYDIQQBEGNgh5Fr5VXPBWLM8WSLIk0UyyR67SeTKYXixlDfZu75HsHu+8d7D7SzpdXmSF5dUP4ycuKH77GXpjROFgUBAAwyEwaiS5WigAA+XdevWC++mQ7dl3NeX4s4yNSqbSWVda5XK5KpdJqtWVlZZs2bUpOTq7Np74YGAghCPpWaPT6lzL5U7G4VKmKe7MzoUSp/DH7uROd7sNi9bW18WQybGpXY8/kLALNLAI/nS87AOe37zoAAJSIip+XZ7mZewIAHhbdw6IgACBokL//0HdLRtSGra1tXl5eba7MyckRCAREInHx4sU+Pj5HjhwBAJSWll6/ft3FxaVDhw61aQRFURRFz58/LxAIDEnNGgQMhBAEfbWeS6UplVVPxZJsieSpWJInk9tSqV4sZgDHDAUAWx9iQ6WeDW1j4o5+Tt27d58xY4Zer9ej+gkHY9u6dNTqdbdfJmJnSSRSncswRUVF7dy5c/To0YYUcSKRiM1mv3OZSqXauHFj7969AQCBgYEPHz588OABAEAmk+Xn5+fn59fy667dvOYV5CPGS0GVPjXxfgPmb4GBEIKgr0GZSoUFvHBLgcObzB6bnuVUadTeLFaMna0Xk+nOZJDqWhXAJLKzsy0tLVks1qwpEy+cuxA3eUodGnF3dx81atTOnTsBAEqt8kr2eeOzM2bMqHNEWbRoUbt27bp27Tpx4kQLC4uHDx9u3Ljx5cuXAACNRnPkyBGFQpGTk7N//34ej7d69WoAgKFmAwDg8ePHQ4cOreUsIwAAzyKWvS4lUkh0Ir1h6wfAQAhBUNMj0WpvlFdgkQ+b28MhwIvJ9GQxO79Z3gIA+Dng02tAGgmpVIrlUj97+vS+3dt/mDz5ZXratoQtFQr13rHRSSeOsfF1/3GdkJCg1Wp/++0343JDeDx+4sSJy5cvr3OzZmZmycnJW7du3bVrl1qt9vDwOHHiBABAIBDExsZevnwZQRArK6tffvklLCzs/cTiUVFRHh4etf86B4797mO77O3ta1NQ4j/5b2WYPqu8vLxOnTrl5uaauiNfLYlEAqtPfB2kUum3U31CqdNlSaTZEgmbSAy3FGAH/yp+tfNlng+L5cFkYHsY+OQmU+5br9djUeHxo0e/bv9l2OixdL26b9++qF7/x6zRw9ZumxPk9MfTkqg2AYdvPShR6G6dObF+195TF6+MGT+hPmWYkpOT9+7dm5GRQSAQvL29R48e7e/v33C39XkdOnTo+PHjBw8e/ByNwxEhBEGNS0pl1WORKFsifSqWZIklJUqlK4PuyWRG21obrom2sY62sf5II43Ns2fPbt640a9//6qK8ujwrngEHF0+a9KitcM9eBN7H1vcsy0T0ekJiIJrM2HSpJ8PHZ2/fmv3yMjA1FRbW1uOhcWqLcHyH36oZx9CQkJCQkIa5Ha+MjAQQhBkGigABXJ5tkRaIJcPd3QgIAgAQKTRzH6c7sKgezCZcc58LxbTiU7DN6mxb05ODpFItLe3T7p5c9bEcZ1CguaPiBkQMyLMhjlz14Yu9hxbvFqs0b+qFPWL6rXl2MlRU2Z1mzmHcfs2DocLDg4OBmDsvCVYUw27NhL6NzAQQhD0hRQrFHeEVdgCziyJJFsiNSMSPVnMZmyWHkUBggAA2ERiYsdQU/e0tjQaDTZZtXXLpqdPHsfPnZP3JHX81GkarW73mD57z1/vb0Xefvz4zI7N3B3srhUWj504OWbaLPW+vXQGI6Rf/xAARi9Zi1V1bdPma1652sjBQAhBUMMTa7TZEkmWRBLC47ky6NjBn569yJXJPZiMbpYWU91cPFlMZlMrVlBUVJR47Vpkr15sJmNgz/CsjIypg6M7OFnsWLv5O0fezkmP2wY0Q/V6gMMx2/ea3W/C+vUbViTM58QMPDxomkKhwAqYDx0+wtT38VkY5j4NdDrd48ePW7Ro8f7FQqFQIpE4Ojp+oc59VBP7WwhBUCOk0uuTKoTZEulTsThLIs0SS6o1Gg8mw4vF9GW/zUXyY/PGkmS5NoRCIVaiaO/unft275zzw+Q2rnb9Yoa1NSef37xibSeP9NT7Ec7mqRmZ/Xv3ahGUcqeweMfmA+7u7n+NySMQCLa2tgCAbb//YWiQ2kT26f9XBQUFR48edXBwIJFId+7cGTlypItLzfb87du3f//99wCAsrKy+Ph4Dw+P6dOnY6d4PN7hw4e///77xrCCDwZCCIL+Ay2K5spkmWIJCYczrOG8UV6xKjPbg8n0YjEjra08mQz7Jlij+86dO08z0gcP+Z6kU/f8LqyqpLhf53bDAt02LPl5XohrwvLFATPHONtY3iooih4w0HrFmoPDsm8kXhsSO5TBZu/56+2e9EYyyvky7ty5k5CQsHv3buwBb3BwcM+ePZOSkggEQkpKCp/PZ7FYAAALCwsej/dOuYnY2Niffvpp0aJFpum6ERgIIQj6mAyx+HG1+KlYnC2RZkokOVKZNZXiyWT2sHq7C7urwKKrwMKEnfxPDNlPpFLp6CED8aj+f8sWasuKRg4bH2LFKjnyy4gA55K83GArdr5QxAjttXC5zR8HD83btonbtu2BYfPEYjH2w93X19fX19fUd2NK5eXlsbGxycnJlDdVqMzNzRUKRUZGRvPmzf/888/169cbLr5169a8efOMP85gMMRisUqlIpM/e13ij4OBEIKgGkK1+qlYkiuTDbC1oeDxAAAtik5IfWRFoXixmH1trT2ZTA8mAzvVhLx48eJhampkr15kImH3ph+3/7yFxzE7MG3Y1Vu3CbmPVTo0ad/WNiHBFubmD6okQ5Yvte4ReWp84d27d7t3706h0QZ4tx4weryhNSwKQgCA9evXR0RE8Pl844NyuVwikQAAysvLDQXrpVKpTCZLTk4WiURVVVVjx47Fjnt5ed26dctQp9BUYCCEoG+UUK2+X1mFLeDMkkifisU6FPViMn3YrChrKyzaERDketNZw2lQVla2YPpUH1/fCUMGaMsKo6IGhQjoKdvX/hBgk56S14pHuflaSHFv0S0o4rJ8NYdM6bZ6G4lESuw3Ua1Wk0gkAICdnZ2dXeOqNfE+VK/VqGUfPEUkMxGkZt2KXqfWahTvX4MgCJH8NqjrtAqd9gNFnXB4AoFI/+C3HDt2LCEhwfhIeXl5Xl6er6+vQqEgGK2ESkpKcnR07Nq1q1qt/u677wyB0MbGpva5Rj8fGAgh6Oun1uufSaSZEokPi+XNqlmbkPA857aw0ovFbGFmNsjezovJFFBM/ITqv8rKynJzc8Pj8QCAwVE9sjLS106f2MrabM+BoxYl+b9fOd9dk8t3cLHkch5VSiYNG2Q98YdVKvWJ48dnBAfTXFwAANv2HjBuEIuCjVBRUVF5ebmTk5PxwZdP9j29vfaD17fstsnaJRx7nXZtfvHzvz90FdJ58AU62x57c/1wtEz0gcReRLJZ+MjkNynK/+H169eurq7GR/bu3RsTE2NmZlZSUmK8OCgxMXHs2LEIgjx48MB4ppBOp1dVVX3wFr4kGAgh6GujR9F7VdWZYkmWRJIplmSKJUUKhSOd5s1iTnRxNgTCJT5epu3nf6VWqw/+ecDdwzM4KEhbVTb7hynZD+6iJMrvIyOVJXkPkm729rBKvHoleOLYXqPHT4lf3q5nH7eFOxEEuRw7VyQSmZmZAQBoNMLgIUNMfSsfo9VqMzMzfX19CwoKho8f4eHt2X9MzMCIATqNtnXr1sZXujQf4dL80zsxAsI2BIRt+ORlnQef+69ddXNzMw5jpaWlv/7669mzZwEAfD5fKpUaTt26dWvBggUAgCNHjkRHRxcWFmID7qqqKgsL088uw0AIQU1bsUKRJZEqdTrD6pV7VdU/pD12YzC8WMzhjvbeLJYznUZsUlUXMAqFYsHMaUwGY/7USfryop2//nrv2pV1paKjA9uyOVxRbjaPjCvSI6yIWJ6lfUKHO3du3Zw8fSaTw/EG4HK3PoZ2EATBomAjVFlZaW1trVarf5g9DcEh0+bPGNC/f4W20tLSEsclVfAqHp5IQ1uRUIACnan7+p6lS5du3769devWCIIUFhbOmDHj8OHD9vb2AAAikajX67HLJBIJiqJYvYj79+8vXbo0OTkZC4R5eXlBQUEmvAUMDIQQ1JQUyOWpVaInQmGOSpUplmRLpFQ83ovF7GxhbgiEQVxOcudaVTptDNRqNZFIxBKIC4XCgb26k3Fgz4p4sqT8zKXLlUlJ2TLlDVlOQEALd0vzPdVqtoWVy8o/iXTm1nnq27dvBwYGkhkMAEC378K7fRdu6rv5NJ1Ot2HTBgadOXzU8GFxw2/fT3bxcnUMcbny6DKq1b/YVVQpq0LYeDaetXDSwhULl/cf0mt1zKp14UsNO/Aaj6ioKIFAsHfvXh6Pp1Kp9u/fb1wUwt7eXiaT0el0jUazcOFC7OCyZcvu3btnqID4/PnzSZMmmaDr/wQDIQQ1UjKtLksieSaRRlpbMt6sOxhxL5VOwLuQyaE8XpyzkweTySE1ZD2aL+DJkydubm7Ygvv7t66Pih1CIhBOLZtGrC69nJzCF72SavWPrp0PbtuuQ/TgfQ9eMG057dYfoFKp4QB0mrbUsNSeRCJ17NjRlHfyKXK5/MSJE61bt3Z1de0/IuZW0q2B4wcr8KpTp05ppKr9ohOFGc8p7kxhccWCbgtzz2VTGdRjk/7AT8U/ePAgODiYQCB0OHkBa4rNZjeGjefvCw7G0qN+wMiRIw8ePDhq1CgulxseXvM7SqdOnQwXFBUVubq6vl+e6cuDgRCCGgWZVnevqir7zaxetkRarlJhW9Q7WvANgfBKh3agSZVhKiwsvH//fkREBIVM1laWrly0MOXapSoNemJSP21p4YOsIncakiOWy0gM207toqInZG7cTKbSusQvxuFwTADO3eph3JrJN5z9G4lEUl5e7uzsXF1d3XdIP0BE5m+I37Tup8evMsQLK0PWdE1KvGQRap10M2ns9Lgrv56nUznnxx/VjtGeOXMG24EQfv7tFoJ27dqZ8F4aipubW0pKSn5+voODw/tnURQ9cODAtGnTvnzH3gcDIQR9aXoUzZPLs8QSWxq1GZuNHfwl5+XpVyWeLKYnkxluKfBgMh1oVFxTCHXGVCrV7h3bnV3dvuvWVVtWpC0t7BkVE8in3Pp5xfQAWxyDLct7ScMjFTo8O3IkUWA/mkJnHvzTzs7etX17rIWla9Z//Csaj7MXzp0+d3rG1BkKiqpbaJieinQaElapqc5SvdBV6/de/INjx1fdkrs4uBzqveu567O/z58ZN2qsQCAY/fBtTfa+ffsadqN/fYYMGfJvJWYrKyvj4uIatr5uncFACEGf3ROROFMsyZRgQz1JtkQqoJA9mMw4ZydDIJzl4TbLw820/ayDo4cO3k26OXP2bI5OoSkt3Lv/z3s3ru4sFVv1aSWwdSBa2puzmZnVsu/79rSeOQ8hUdbo9Xfu3PH19SW/2ZY+eMj3pr2FT6qsrExOTu7cuTOVSh09Zcy5i+f7DIv26tZs4bjZFl3tzky42GlsuEqnplBorgynQf0G/liynk6lbxz7E4FAEE2pyWITEBDwbdZUemfLhwGWx7WRgIEQghpSlVqTJZFUqdXd3yxdyZJIvr97353J8GQyoqytPJhuniwmraklZ8FcvXJ5V8LmcePGBbvaakqLlMW5CyfHD/C0/HHQtZl9wggCu2beHttPXeTaOnhuOE6m0gAAl4YvqKioMDc3x1rA4XCNud6QoazS7/v3Hj5+eNac2TQbxqDIgTorhPoz2XWk382z5y062l6/diO0d6ew8LAHtx9sW5/Q/buIV0Hzi4uLW7VqBQDY88tuQ4PsN7/oQO8rLy+/efOmWCzWaDRjxowxYU9gIISguitTqR5Vi7DRHlZ7QanTezIZITyeIRB6MpmPunU2bT/r5sb1xHVL4mMHD4pq01JTWqgtLZw3b+2sVvbxE0YdmzGMILCjWNm3CQm5+OJlwq+/WbRuDQBoC0DqmFnGyx8QBDFEwUbo1q1bBAIhODhYpVG1ah9UXlk+bM4omjvzxwWrbXu7jFw4JnrOQAqbKioVtW7bZnPkpgL3/KMnjo5dMtbW1jZmW29DO9bW1tbW1ia8kaboxo0bJBJp+PDhoaGhMBBCUBOg0etzZLJnEmkon29YqDnqXqpCp/NkMf3YrH62Nl5MpjW1qc73nPzr2JZ1qyeOHhne0kdbWqgpLVi/fsf3HuarFy/ssngi0dKe5OQ1acrUjXv3T1u9yXzgIOxTe9pHvdNOY1gE+BHZ2dmzF8/tHh4R2rPDxZuXVy9eqdPpW8eFqtnavFf5bG9ebvbLMZ3HiEeNunT20t4Nu9u1bbe+05KioiJs35tZs2bNmjUz9U18Jfr27QsAKCoqMpRtMhUYCCHoA1R6/RORyLCA86lYki+X21Kp3iymp9GOhdPtQkzbzzpbuXjhzSuX1y5e6MokassKNa8L1q3ePrOV4/qVyzosnkwU2FH92kxdZL9+y//mrtvM/z4W+1RscHjs9Hkfb7mRePjwobW1tUAgAAB0798j7fGjYTNGmftb/rZ6l8YGXImf9b3lGKaOgir0RAS/OGx2oGdAilvKoyePhg8dTqFQwuI7gPiaphAEafx5R01Lr9enpaUpFAo/Pz/jpORCoTAjI6N9+/YAAJVKVV5ezufzjRcHabXaQ4cO/fLLLwCAc+fOdenSxTRZ7tBGIzc319HR0dS9+JqJxWJTd6GReq1QXi0tS6uqNhzZnpMbcOnq4Dv3VjzNOlJYlC4SqXQ6E/bwHRKJRK/X1/LioqKi6PCucyaMVWQ9kFw/UXU44XXCLHce88euvtPDAiv3bxBfPiR/knz24L5eYR3Pnz3zWXv++Zw7f27BkoVlFeX5oqLFPy+zCrDlOPJHnpwSfmgA057tNMCr47Cwv7L/3vP3Xp/WfvHL47FPSSQSqVRqwm7LZDJd7f5qTZ06ddOmTZ+7P3Vw6tSpNWvWvHjxoqKiYu7cuWfPnsWO6/X6VatWGe7u4cOHnp6eOTk5hg/q9fqDBw+WlpZeuHABRVGpVPqRGzx48GBMTMxnugU4IoS+ObkyeYZYjC3gxGovEBCcN4s51MG+uVnN0oaxzo5jnR1N2s062rJh3f3k20vjF1jiNdrSQk1p4R9/nfGQvLp88sFQO5K1qwfByoHavN1EMePW7durN//MefNUKsI3OCKmsS/gNFSHAACcPX92zuJ50QP7tu3dPrc6f87YaZwgwcEJfwUNCVVWiXVaPQlPnNRytLuFyyO7tGs3rk0YO4HD4QB3MKJHrKFBLO8XVGc7duwoKChYsWIF9nbp0qW+vr6hoaEMBuPYsWPt27c3PCpv3rw5g8FwdnY2fPbJkydXr169evWqh4dHt27d6HS6mZnZ48ePv/zDZxgIoa+ZUqfLkkhLlMqIN7XUS5TK7jdvO9Fp3ixWEJc73NHBi8XkNdaaAx93IzHx6IF9E6dOc2ZTNKWF2tcFsle5W9dtivW13jkrbvqASKKlHdm12aC5QdMXLes2qKfXnA2GPfhT5vtPMW3vayczM5NKpWI1389cOTtmwlgqnTp568xCWfGh5Xu5nawSfk7At6Y5su18m/kVpufv+mV3l45dQC/wfMBzCwsLbNFmm5A2bUIa71LVpis9PX3Dhg3p6emGIyQSicFgPHnyJCQk5OLFizt27DCcyszM9PT0VKlUMpmMy+UCAJo1a7Z9+3bjBqOiO4IdVAAAIABJREFUotasWQMDIQTVnVijfSISvVnAKckSS0qUSlcG3d/MrJvAAo8gAAArCiUzPMzUPf3Pnjx5cvnC+e+HDefRyJrSAnXBC1112eRJCyY0t53TL3z7yCiihS3B0t6sVZfI3vlXn2T879e9fE9P7LN0AI6eu2Ta/tcSiqL7/thHoVL79e37WlZ2NvHcgjkLtCpt90V9qqiSoisvcfakqpxqDp7VxqtV2Op2WzZtWvrTzj5tewMAhp6OMW7Kza3pbcr8r7bm5C5Iz/jgqd9bBUZa16xbjnuQdrio6P1rCAjubpeOTnQa9jb4SuIzo3oRBjwS6VlEtw9mdlizZk1sbOw7s3qvX7/GEgBJ/9laYmIihUK5d+/elStX2rRp07Vr1/cbNDMzKygo+OAdfVYwEEJNEgpAgVyeLZG2MGObv0m7NSE1LUcm82YxPZjMOGe+F4vpRKfhm1pyluzsbKFQ2KZNG4CiuqpyTVmhtrQgNnZ8lBNn+v5tayNaEAT2gGtJsHYaEN1754Wr85f/KBjwNgas29GU6uhWV1dPmTXVwcFh2MThBeLiC5cv7t35u1ap2fhiu4OXE7kUr9fqCAh+aLOYIK9WlCjy/j/3e7p7hgSGAACAFYho383Ud2BKY5wdB9rZfvAUm/j2Z/smf7/Vfj7vX4MgwMwoscuVDqHqN/UijBH+Pb/RpUuXDCV2MVlZWWKx2NvbWyQS0Wg041PXrl2bPXt2q1atnj9//uLFiw8GQgCAWv2B4sCfGwyEUBOgR9EsidRQYC9LIsmSSLgkkgeTudrP2xAI/wgKNG0//6uysjJDMTZUp9WWvyrKeNh/2BhzKmFMx1ahHARHYxIFdgSBXaCfz4mMrB9mzbGeOAW8yTW6oEv/BSbtfy2hKGp4JHv12tWJMyeFdu3Ya3TvQnHx34dPZVQ8FSefzbIp8Hb1MrczJ4gRGoFxbMRea4E1AKAgfD6ZTMYWfwIARgz7dPm9bwcBQWqTcp2Cx1NqkcCBTsDTwX/L86BUKq2srIyPbN26ddq0aRQKRSwW442+FEXRly9fYgkHrl27NmvWrH9rU6czQbkpGAihRkes0WZJJAQECeDU1JA7VvwqPv2pN4vlyWR0s7SY6ubiyWIyCU34by+qUiybPePy2dMW5vwdo/toXhfoqsrwHAs9y1wPkGoNatNziHV4JEKuqfG9K3q8TqfDN4V8NNXV1XQ6HcvPggI0ckCv1EepAyd+bxPsUCAqOrnhKC2EefjgQZfenvYs2zH9Rq2YsaxVi+YHh+7G7m56+iQEQQyBEytuBzVOrVu3zs3NNTyFvnv37uPHj//++2/wXmHejIwMb29vAIBSqczOzvb09ExPT/f19X2/TZPkVW/CP0qgr0OpUpUhFr8Z6kkzxRKRRuPJZMbY2RgCYX9bm/62NqbtZ51lZGSMGdTf0dpqx8Jp2rJCbCWnXi55efdZcy7lYaWI1rIzQWBPMLdG8AQAwN0RC2Uy2ftluxtnFBSLxYWFhT4+PgAAjV57/MKJKdOmIigYu3VKiao0X1yUfPeWeRvre3dSOkR07OwQGrshev2PPy7bOL9fcF+shd7Xexo32Mj340PGNm3atGjRosDAQA6Hc/LkyevXr588eZJOpwMAcDic8d/Y69evd+jQAQBQWlrq7+9/7ty5sLAPTNWrVCqTVJuCgRD6cnQomiuT58pkXSzMsXkHqVbb5up1exrVk8X0YjIjra08mQz7f04tNBVlZWXrli0JatuuT9dO2BZ1bVmhprTwxJmrbeiaK0/Syp+nmzu5U7xbEy3s8BzzX+TyCxcuLGrXjvrPmEen07EfJY2QRCK5fft2u3bt6HS6TCPPqy7o2iYMsHEBYYFmbQVlsnJlqhjh4jWlSj8zz0EO0fYs26cuGRevXoobPQ5bKAgE4NBvf5r6PqCG4ePjs2fPnsTERDKZ7O/v37t3b+Ozvr6+xcXFNjY2AIBevXrx+XwAgIODQ1xcnL29Pe1D/8xv3LjRo0eP949/bjAQQp+LUqfLlEiyxNKnYnGWRJolkeRIZdZUih+bFcLjYgX2GARCTvcmtt5BJpM9evQoKCgIj8ejWg1WbEhTWrB5x2+0iqL4g38ET+pNtbInCuxJDp601l0nDJi+Zu3aaWP9nUaMMm6HTqdHR0eb6i5qQywWX7hwoX379gKBQKioyhcVDo8ZKmUrcatA8x9CZGqZHctGrVeT8VQPM5cp7afYMK1xA5ALFy7Y29tjY0QAQGBgYGBgE5u7hWqPzWZHRb2bZg8zbty43bt3T58+HQBgnJqnRYsW/9bazZs3lyxZ0tB9/DQYCKGGUa5SZYol7kyG5Zv8SZMfPr5XVeXJZHqxmP1tbTyYDA8mozaT9o2WXiHVlhb1iOpjhaj+4PEXdfLViSoIPCuCwJ4osA3v02/W6h/bf9fdbsle40+RAVi7KcFUfa690tLSs2fPdu/e3dzCvERamicqnDlx+mt8hWK5pGV8eyKO4MC2x9EJmjJVMxe/X7qtE9DNAQDr7i/Kzc01LjAUERFhupuAGhE2m92qVavk5OSQkFplIjx+/HhsbKxJno3DQAjVRa5Mni2RZIjF2RIplpATAODJYi718TIEwp2B//p7X+N3IzFx1oSxwf7NVo4fqn1doCkr0pbmo2oVwcIOr1XLcXorawf+uOUEniXA1YT2UADuxMaZttu1l56envowtX+//jgSvkBcVCAunjh4nNYRt+Dnxb4zW/OoXAe2Lceam5+U7+fm+2fUDhaJCQBAu6x4+fKlcYpkDofD4XBMdx9QoxYaGqpUKj9+zevXry9duhQbGxsREWGqGsUwEEKfoNLrn0mkehQ1pB+7WFo29v5DDybDm8VqyTEbYm/nzfo/e/cZ2FTZ9gH8TnJO9uhO2ibpXnTQyR4texQoG2SKbBTRVxHxERTFAYIoiPggKCqIuMABioAojyIjZRRKKTRt0j2SNrNNzknO+yFYEVEZbU7TXL9P9JBx0ZL8e07u67pFgXSs9bpPBoPhk717+/brlxAXS+pqiBoNWVtO1FWQNZpP9n03Nhh/78iR58dlYzIlr2tvTKpkSfwRQoceXl9UVJScnMzwkA5Fh8Oxf//+iIiI9PR0g82oMZRrmspn584QdJG89sNm2YgwhThUKZYrYsIunSkYmD1w58TtbBYbIYSykU6nu3kDVQaDQftGAcCz/Gu2HTlypLKy8k5u2X4gCMGfGAiiyGQuNBqLjCbXHyqbWyIE/NEhwa1BOEQaVDZyKL113g/KbnMtY3nmuRc5DeWbn3v6u+l9WJIATKrEZQpOVJKw98gVYx7esH79+kdG+OSNveXubDa7I2/EU1JSUlxcPGTIECaLWWup1xoqdn24a//BA9ZyU4/VAzE+rpSEhokVAbIAU6lp6YxFcybPZjKYCCHU50mz2XzL7M0OtY046HzOnDnTtWvXitsNvnEnCEKvVtHcrDZbegX4YwwGQshJUVlHjvuw8QSRKEEsmh2uTBSLI4UCzENOfW5ryqjhxVcKX3vy0XSpkKzVkrXlDnMTFijHpfKUuOhtBVe6dE0LeflzBvanxmQFQpu2baer5jtktVovXLjQrVs3FotFOMkKY2WJvmzKoImcMH7YN5Gifv4SjlgpluMBHLLG5ivweS9vi0xyY4Xq8t8esVgstyxPhQnU4J7ZbLaWlhbXcNdWdrv9/Pnz3bp1u+1d9Ho9l8tt/U9YUlIiFApbhye4EwShtyAp6rrFWmY03fhUz2QqMpqEGJYoEX/ULVPK5SCEmAxG8fDbzz3qyKqqqk6ePDls2DABn0821pF1FWSNhqirIGvLm6tKz//2y6gY2U8/Hs2a/yA3Ng2TyjE/GWIwEELzEZq19k1aGnjvltPprKmpad0D3Uo2axoqJ4waZ+HbAvz8E2am1VsbZEJpmEjO4XGc9eSUbuPmjZ/Lw25ca3px8io+n3/LMoQO26QBPMuVK1e+/vrrLl268Pn8Q4cOzZo1q7VTfuvWra0z2E6dOrVo0aKPPvrI1VmPENLr9bW1tWVlZdevX6+vr4+KitqwYcPSpUtx/N/H5bQtCMLOyUI6ikymYC63dcP0Zwouf1ZekeTjEy8SZgcFLI6OjBcJJW7/D9eGXDPJyFrt2AnTMn3xgxtWr+kTzRSI8SA5JlWwQ6P46dn+MuXGPv87+9vJpf/3pMjH568P0jFT8OaZZAihBqtu6MhhNYba1N5psXnJWkOFhbCGSRQ2yo4IZ7iv8uXsZ0OEMozJQgitvvikXq+/pR8fTvVAOzly5Mju3bu3b9+OYRhCKD09PScn59SpU2w2+8SJExEREa39gt27d2cymfG/z4JHCEVHR0dHR7/zzjsikcj1W9qkSZPefvvtpUvdvTMKBGFnUGezFRpNV02m1h3V6222OJHo6YTY1oEsr6Yk/ScijJapDfeJJMknHlmsr6/b8PyzAovedapH1GgcTfUs3yBcppT5Sc7r9KMn5IY8/3LrTLJWI0bmjhiZe9tH7oBMFlOPnJ4Gk/HR9f9H+lNlhvJyYyUH45TXVvDCRaSBmJ44USEO5Tu5AoGAGPDylStXUlJSbk5NDMP+OpUGgPZQWVm5YMGC/Px87Pd5hz4+PhRFXbp0KT09/dNPP3399ddbb6zVapVK5V+7IxYsWND6Z4VCUVxc7IbKbwFB6GGcFFVmtRoJMvX3pStnGxtz/3cyViiMF4viRaJhMmmcSBTG5/39yPiOyOl03vwKcRgbyVoNUVdB1mgvnsu/cuTbCAnv63XP5g3OxqVKftZATKrAAm7MJDswZ1V9fX1gYCB95d+LQ98fWr5qxdjJ4/qO6+8KPI2hvLSstMpUyw8WXisszhs/dkzMCKU4VMgW1PWpO3Xq1ODBg10r61xTHNlsdteuXen+dwDa2H+7Zv+58LZ/xc3NwLrc2JiiZf8ZsrjqNjdiIP6cAUz/G78cW975gTJYb3MzNiZ8dCS63dvJunXrxo4de8vngkaj0WazIYR0Ot3NU9Z+/PHHwMDAo0eP/vTTT2PHjv27tnqJRKJWq2/ev9cNIAg7tBaH46rJXGQyte69UGwyS7mcgUGB72beaGHO9PWtGTWC3jrvi9OZNzi7tOT66gWzc8IDiVoNWVuBWCxcFoYFyXGpMn1qZkSpqdFkHrvpo79rWevIKWgymV5a/3LXpJSho4drDFqtsVJjLNcYKj554QOfbOnmtzZj3fhhEuWAsL5KsVwxPOSg8mBFVcWCuQuwm6aKBwUFjRo1isZ/BeiA8EQFQ3T7lgNW5B9XBdi941gxsr/ehsFiMn3/uGbOHZ7mNDXf5mZ8zm1TECG0f//+m7feRQhVVVWVl5cnJSVZrdZb9ik8fvx4Xl7ewIEDa2trT5w48XdBGBwcXF5eDkHovRrtxFWTKc3Xh/P7uVHvH38mnM54kShOJBwTEvyUOCZOJOJ72nCWyspKoVDo+rWRIuxkXQVxY/a0lqwtJ+oriy5eGBYVdPbChaE5jwh6DMGkSib/T5dwt+3+hKba7wJFUadOnYqMjAwKCnJSVI2lVmusKDOU792x59z1i1t3b+vVPCg6JEopDg0Ty7sHZwx8ufebr296bsN/x/f506C1MaNvP7AKgFswRFw8UfGvN2MGipmB4n+9GUsZcLfvLDqd7pbEeu+992bNmiUSiWpqam7pC7x48eKOHTsQQidPnpwyZcrfPSafzzcYDHdZyP2CIKSNa1/Z1gWchUaTzensIhZ90C0zWnhjOZ9qUA69Rd4np9X888EDTzzxRDPh+PKJWWJzg8OowwJCMKkClyp4yb3wQQosSLFrwrlTv/7y4Nx5Ag/8CBMhRDgIjbFi89bNn337RUuNZcybD1SYK325PkqJPFyiHJA94MLh/MwuGd/O2PunD0hC0PC+HjZnFYCbJSQk1NXVtW7DpNVq9+3b9/333yOEAgICTCZT6y3LyspcHxA6HI6TJ09u2rSptLQ0IiLir4+p1+tvuz1Tu4IgdAfC6bxutggwVuu+CmuvXH27pDReJIwXi5Il4ony0ASxKJi+wQr37Pz58xKJxPUf2tFYR/w+gZqsqyBrtBRhbzBQAhaykQx2WnZAUhrmJ0N/+bS8e/fu3bt3p6P8e7HgsYXfHPp24rwp8QMSywxajaFC16wPEQU3Ndc6m0kezlve4+FwHyUX+309ajpamruI1pIBaBcvv/zy1q1be/TowWKxrly5smbNmv3798tkMoQQhmEURbXe8vjx465tmNRqdXJy8i+//NLaRHELjUYTHR3tnvpbQRC2PRNJFv1+nucazqK1Niv4vCdiY+ZFhrtu80xC3DMJcbSWeV8oB+loqD727VcvrF3b1GL/6KHRAbZGJpePSRV4kAIPjuB37YtJFSyJ/wSEIlQqPz+/8Nv99tdh1dTUvPr6q0MGDE3vk1H++6d6GmOFxlD+49ffyHKUR3840n14z1HRw8Ik8mChlMVgoZHo2qxroaGht91fBoDOZ9CgQcHBwXv27PH19cUwbM+ePTcvYI6KijIajWKxGCGUmJjo2mM5JiZm3LhxUqnUtSvTX1EUdWPHLjeCILxfNS0t9TZ7suTGJfgSsyXjyI/RQoFr14VpSkWCWBQtFLA9bbtRnU5XUlKSlZXFYDAoWzNRV07WVhA1GrKugqjVOvS1LJ9AZGU2kw6KifnnzQ3u0pXJvX2DdkZGhpuLv3O1tbVBQUGuVy/pdFSZq8sM5Vpj5dsvball6bbP3Tn0zXFhYrlSLI/0CctW9lZK5NqIZfu+/PTh1Uvkcvktj9Z6jQgAL5GYmNi65dYt5s6du2fPnoULFyKEsrKyWo//w7KvI0eO/N2mTu0KgvAuOCiqzGK9cmMvdVOh0VRkNOFMZk9/vwO9e7huEyUUNOV5TNfabTnNTbaqsv6DhocLsf5du0yPlzotBixIgQfJseAwfkY2JlVigaEMFiZDqMui1QKBwBP3H7ASzWtee+GDvR8K+cJJr87UGMprLXVBgsBwiUIhCh01Mvftl94aM2zU7rHv3XLHgHS/m3cdAgDcllKpDAwMLC4ujo2NvZPbG43GK1euPPLII+1d2F9BEP6tZofjutkSLRTwfl+lOeCn/5VbrfEiURexuKe/35zwsASxyO/PS4Q7Pp1OJxaLbwwxoihSX3PzqR5ZW44YDCxIyaScLQ4kjE8PfGQZ5huE/qYr8a9nRR3N9vfe/eXULytWrGjm2V3LOLXGCq2hwmg3V59TYyFcS5l5cHh/pUQuF4XgzN9fEWloxQNP0Fo4AB5v/PjxVVW3a2G8HavVumTJknat5+9AEN6gs9tbx7IUGo1FJlNNiy1WJNyZmZ7ue2M010/Zfekt8j5RJHFwz65nVz7tQIzvVi1i6KrJ+gqW0AcLkmOyMLYylt9tEC5VMgVihNDJuc9rtdqEhAS6q74jN8+PdlLOanOt61O9Ur3m1efWBPUPHbty8pAHRyglcqVY3jM0M0wsDxIE2vPs3333XVZWVusMTwBA27rzF5drlQ0tvDEIKYQ0FivOZITybozj2lZSuvLS5XiRqItYFCcSZQdFJohE4QI+y6OGs9zCtZ06Uash6yqImnKyVuswNJRoTEo+q9jQwoxJ9x0SiwUpGOzbD9sUCAQekYI2h33khNzLVwv7j8mJG5GkNVZUmqr9eX5KsTxcokiRJebkDLhWWLxn+66/DmHhcDi0fCABAOhQOn8Q2p3Oa2az61TPtaN6kdEUwOEsiAxf+fu6zYVREQujPGlN4y0+en/nm+teeWjqhGnZPX7fTl1L2VuwIAUmU+JBckGPIbgsrJktWCISxxw+HBERERTnSWtWjxw90tjYOGH8BJPd7Fq62XqRU9/ceK7wvCTFv7xYM3/hfKU4VCmW39hXFiGEUO770KsHAPgnnS0IDQRR1dySIL7Rl11vs0UfOhzC5XURi+JEwhEy2eOxwniRSIh58j/c6fjzduradzd//Fha2Kad702OD7mxnXqQguXzl9XJJhOTyRw2bBgdRd81ClF1lnqNseJUwZk1y1azJPjGc9v8U6UKcWi4RKEUy1OlyeEShUwQpO2hPfbjsfHjxt8y8xAAAO6EJ+cBQpXNzUUm81WT6bLBdNVkumIymQgyWSI+nt0XZzIRQoEcjiHPIyc0Xrhw4VLBxQkTJ7ExFllfSdZoSV01UaMha7REjYbJE2KyMFym5IQnCDIHrMsYs/2//9300Saf3r3pLvxevPbGa4ePHVn53Erkzyo3Vt5Yz2KsFLOFSok8EPfjIDbVSG2a+HL31Nvs8BkeHj7nwTnuLxsA0Dl4cBCO/fW333SNCWJRvEiYIBblhQbHi0QK/q278HgWp8VI1GiaK0unTJ7TM1h0/aM35qaEurZTx6RKXmIPLGcCFiS/ZTv1brGoW/8BdNV8DyyE9ca1TUOF1lD+5mvrQ0dEPvzKsrFLJirFod1D0ifFj1GIQ/n4jZ/m8ktLSZJke9oCXQCAR/DgIPyyVw+6S7g/FEXqa1ubFshaLVFbjigKkyqxIHmgn+/5RuvYJ5eGTpnxd60LHqG0tHTkxFF8Mf+pN5+pbK7RGis0xgorYVWIQ8PEijCJYljUQNPM+tMnz+zYvP3vOnOZTCakIAD79u0rLLz9vkudXklJyd8No7l/HhyEHuT69esLZz6QEB257vElhCvz6srJugqmUIIHKTCpgq2I4WcMwGVKpvDGp1w/T33MarV2/GFdt+4jSDmqzbWtvXoaY/lvh341+jfXVzecK76QkZjWR95dIQ6VCv60a1LftT3dXjgAHmbBggV/N5/TG2RkZPTo0V4nP4yb56LSq6ysLCcnp7S0lO5C2oCzxULWlhM1WrKugqzVbv3yO8LU9PX1us+fWewfHo3LlFiQApcqGGy3Ttk2mUxtu0N9wZWC3PGjWGzs8a0r6h06jaG8ylzjz/MLlyjCJArXqpYgdsCmjZtCQ0IXz4fB023GbDYLBAKGJ18qAC5Wq5XL5f5133bgTm49IywoKAgJCfH393fnk7qB02omajRkjebGYs4arcOow/xlmCwMl4XxMwc+mDH02Vc2zMrNjFyygu5i7wJFUTe/1TbZDBpDhetUz3XOd+3XK/YAitSbrY3m7KTeSolcKQrFWfgtj7P2uRfdWzgAANwF9wXhd999N3HixC1btsyaNcttT9rmTIam4f37WM2mXc89IWfaXed8DJyNyZSu7dQ5sam4VMHy+dOlPzlC733yGV013wMnRWWPyL6uLnnwqbk+iQEaQ4XGWI4QChMrwiRypVieGZyqEIcGjQrc+f5OaWDQmJHQlg4A8FRuCkKj0bhhw4apU6e65+naCmW33dhOvUZD1FaQdeXF166hxtpoEe9yUXFkbq6g1wgsSMHkC+mu9L4QDkJrqiw3VmoM5RpDucZYWW6oOHfpgn+mNP9M/uJ+SwZHZIdLFD6c23TpzX9onvsLBgCANuSmIFy+fPnq1av37dvnnqe7N06rmdRVkzUaokbr+gOpq2GJ/TGZEpeF8ZK6Y7JJfaSKR/cf0Dc0TFywkPX7MG4PUlRUNHH25NCw0EfWPlZuqnSd6jVYdSFCmWsOZy95tyliuVIcekZx5uSpkwvnLXRtJwYAAJ1VWwZhUVHRxo0bbz4SHR29fPnyH3/8EcOwPn36dJwgVJ05s3jWA+GhwdtXPur4fVN1RFGYVIFLlViQXBCVjEnlmJ/sr60LEydNpqXme1NvbdAaKzWGijKDtqxJe3zfUXOY/VT+6W7qM3GhsSOiBoVLFCEiGYtxa6j37dO3bx/PHjIOAAB3og1WjVZVVfn6+vJ4PJPJdO3atZv/SigUxsbGDhs2zNfXVywW//LLL4GBgS+99FLPnrdZLt9+q0YpB0nWVZB15URtBVmjIerK3z74k6nZ9n2Z7vDG1ZKwGCxIjsuUTKFPmz+1e1wsuLj13bfnznooJFZeba4tbdKWGbRlBq26ScNkMMMlinCJMkQkk7IDgjnSja9uTE9OXbxgMd1Vg3sHq0Y7DVg12hHcURAWFxc//vjjZ8+e1el0BEG0HtdoNGPGjNHr9SaT6emnn16+fPlt715dXd3c3IwQev7555OTkxcsWHDbRfxtFYTOFgtZX+XQ1RA1GqJG49DVEHUVLKGP6wqnazGnVeC/6fWNKRmZ4ydOus+no0sz2aI1Vrjms7wwd7W4X0DlwdIRr453LWYJE8vDJMowiVyA/9GJ2ObtE4AuEISdBgRhR3BHQajRaE6cOMHn8ydPnnxzEE6ePDkwMHDLli2lpaVpaWm//vrrP/d7rl+/PiEhITf39hu431UQVldXb319w6DhI/t2z/qH1gVcFsbyl+GyMAbuYXNJCIJoaGgIDg52fdnYYtAYtFpjpWubPa2xwmAzKkShSok8XKLI/+b0lx9+sXje4qeWPfkPjwlB2GlAEHYaEIQdwV1cGi0oKEhPT28NQovF4uvre+nSpdjYWITQ9OnTw8LC1q5de8+lFBYWZmZm3jw7YNKkSdOmTbvtjZ9a9kho6ZmPCsqPLhjBDJKzAkKZgaHMwFBmQAhT0l5jeNzDSVG11rpBAwbZmPacSYN8sgIrTNUMBkMhCpULgxXCEKVILheFBPL8Geju3gfNZrNQ6NkLXIGLxWLh8/kQhJ1Ac3Mzh8OBIGw/XC4Xx29tbr7FvS+WqaysdDgc0dHRri9jY2OLioru+dEQQnw+38fHZ+XKla1HUlJS/u4MZmTeuGcf/2lg7piQFz+8nyelnd1h1xorXRc5Xad65cZKH1xsspoEYWKxQ7g4Y06YRCHhtM3STTgj7BwYDAacEXYOLBYLzghpd+9BaDQab/75CQQCg8Fwn9VwOJxBgwbdyS1Hjho9ctTo+3w6tzGbzeteX5+Wkjp4+JBKc3VZk7bMUF5lrikzaKvMtQE8P9d6lnRZyri4kdG+kTyMq83SFhUVDRw40BObNAAAwIPcexAGBQVZrVa73e7aFqD9oa5KAAAgAElEQVSxsTEoKKjtCusMai31rvO83e9+mH/9wqb33uxpGBgpDQ+TKMPE8qTAhDCJPEQoYzJu88ugUqlUKpXurxkAALzNvQdhcHBwQEDAmTNnevfujRA6c+bM8OHD264wD0M6HRWmKo2h/KZ9ZSuEbKFSHBomkfft0zf/uzNp8amHpu+DayAAANCh3FEQ2my2r776SqvVUhT16aef8ni83NxcHMfnzZu3fPnybdu2nTp16vTp07t3727vcmnncDgWLVtc11C/Zt0LeqrJ1bFXba7VGit8uT7BQmm4RNlVmjgmdlikT/gfrQuZ6PG8R2gtHAAAwO3d0apRg8Ewb94fIyX9/Py2bduGELLb7WvWrDl8+HBAQMCqVavuc7OoDrsNk665UWMoLzdVlhm0qgvnDr39FU8miOsanz0yJ0x8Y7OhUFEIxuzoH+ZB+0SnAe0TnQa0T3QEsB/hrRqa9RpDuetUr8pco24qI52OEKEsTKKI8FEqBCGbVm20GMwfv7fH19eX3lLvFgRhpwFB2GlAEHYEXrpDfW1t7WNPP56Znjl2xnjXdrKlTVqNoVxjLBfg/HCJMkQoC5coc8L6REiUfrw/BV7fXZ/SVTYAAIA250VBaLSZNMZyjaFca6z85L97K+1V32z49nzwtUhpeJhY0TM0c3JCnlIcymZ52AwaAAAA96NzBiGFKFfrQpmhXGu4MZDTSTmVYnm4RKEQhy6aOv+lp18cP3Tce+O30l0sAAAAOnlqEJIkeeLEieTk5ICAANLpqLPWlxm0ZYbyKlNNmUF7vbEUY2KuLnXXFc5goTRYKL15JtmUXyfQWD8AAIAOwlOD8D/PP/vxr581V5gHrx9Tb22QCaVhYrlSIk8JShwVPVQpkfMwLt01AgAA8ACeGoR+fn5OA+En9nk5+9kQoazjty4AAAC4Nw5NvV2ldjaYBPPvaAbn3fLUIFz+2JMT8ybI5fJ/HSsOAADA81AUWVxNqNT2fDViMtgZUdwhXdvpqTw1CBFCERERdJcAAACgjTk09bZjl4hzpQwJn50RJVw2kiX3b9dn9OAgBAAA0Pk4qhqZMh/RsxOYgW2z/dy/giAEAABAD8rcQpwrtavUzEAxf1pf10F2z1g3lwFBCAAAwK2cejORr7ar1I7SOjxJye4eg6eG01gPBCEAAAA3sf1UaD9+2VFvwFMjuIO7YkkKBpv+GKK/AgAAAF6CgbN4E3ticSGI1YHmjEMQAgAAaGtOirxWbVeVECo1d3gaZ1CK6zC7Vxy9dd0WBCEAAIA2QjqIyxWEqsR+rpTpJ2SnRwofH8UK9aO7rH8BQQgAAOC+OZyWd48S58tYCn88I1I8OpMZ4Kbmh/sHQQgAAOBeUBYbg8dGTAZCCDGZeEYkf2ofhphHd113DYIQAADAXXDqTES+2n5W7dDUC58cg0VJEUKIgdiZUXSXdo8gCAEAAPw7R1Ujka+2ny1xNhjx1AjusFQsScnAO8OGBxCEAAAA/omz3mje8DVlI/CMSP7kXlhc6I3LoZ0FBCEAAIA/c1IOTT0rPBAxGAghpq9AsHgoSxGAOlX8/QGCEAAAAEIIUYSDvFxOqNT2c6WsQLFw+RgGj40QQhiLpQygu7p2BEEIAABejWq2Exc0hKqEuFTOUgawMyLFeVlMfxHddbkPBCEAAHgvQqW2bD+CxYbgGZH8mf0ZIs9rfrh/EIQAAOBFnA0mR4WudbcHvGuYZNODDC5Oa1E0gyAEAIDOz1GpJ1Rqu0rt1Jk4veP+2PYIYzGwztACcT8gCAEAoJOiEFlaS6jUxNkSinDg6ZH8qb2x2JBO1vxw/yAIAQCgc2r+5BfiogZPjxQsGsIKC+qszQ/3D4IQAAA6A4pwkJe0CCE8LcJ1hDelN29Kb1qL8gwQhAAA4MGoZjtxoYxQqYkCLSs8iDs4he6KPA8EIQAAeB7K1GxXqYmzJeT1Giw+lJ0RyZ+ZzRBx6a7LI0EQAgCA57F+8BNiMtn9uggeHu5VzQ8Oh4PFauNlrhCEAADQ0TkqdIRKzYqU4slK1xHBkmH0luRmBEH8/PPPbDZ78YMPC0T8H389xuO1We8/BCEAAHRIFEWW1BIqtV1VghwUOyOSFSShuyYanPj5xGcff25psjYUNZ0rP5McnFZuKNPr9aGhoW31FBCEAADQsZBFlfbT1wmVmiHk4hmRwiXDWGGBdBflVg0NDXw+f+bkWVXaar1OP7XrnB8Ldot4YmW4ctzCXLlC3oYpiCAIAQCgY3E4W747j8UEi1aOZUp96K7Grerr67//7nsOznnh6ZeabVYhS5wcmmaIavji2u5n1z+T2S1DqVS2+QeECIIQAADo1GwnzmnJCxruiDRWeBBCCLGYwmUj6S7L3d7Y+GbhhSvXr1yP4yYfLT4k9w2vJDVT5k2q19VtXbtRKBS267NDEAIAgLs5DVYiX02cVRPXq7GEUE5mNDPUn+6i3IqiqJqamtra2nnT50t9gzVlml5h/R0t1G+6E0NHDRk1KVepVMbFxbmnGAhCAABwE8pO2o4WECq1o0qPp4Szs7sw5vbnSURMJpPu0tzn559/xjDs1efX15bWc3BOqk/3EyXH0lJTi3QXd3yxPSgoSCwWu7kkCEIAAHATytzibDRzx2ThCaEIYyGESKuV7qLc5FLBpXe37UiMTdq+eQdJkHbS1lWe6Qho9o8TPr9k1eQHJtNYGwQhAAC0A4oir9cQKjVxuVy0Io8h4CKEmH5C/gN96a7MfZxOJ0EQDz4wp6nBYNKbR0aO3/jl6xTTycSZu7/5UKvVDh48mM/n010mBCEAALQhh5O4UkmoSoj8UoaQi2dGCuYNcqWg92hoaHA4HB+9v3vn2+8lhCfqqvWBQmlIlHzPpR0LHp83b9FcJpPJ4/HS0tLorvQGCEIAAGgDjurGlq/OEhc0rGAfPCNStHIcU+pd/e91dXXHjh6LjYl9YNx0ppPlw/UbETPumPZg9sBsq82yYfNrHeHk77YgCAEAoC0QDiwmmDe5F9NHQHcpbtXc3Lzh1Y1KhfK/m99NEKZsrnkbc+I4jq9c99SVa4V7x+2JiYmhu8Z/AUEIAAB3x9lkIfJLCVWJ02AVvzjVdZClDGApA+gtzM02vLrxf8f+lxKbevXk9U9rvgiTh5+rOT1o5IAHF88mSTIxMTEXjaC7xjsCQQgAAHfEWWuwq0oIldpR3YSnhnFykrCUMLqLciuSJFks1ueffvHiqrXDe+fu+/rjianT1UVlxabCkBjpZ99/bLFYfH196S7zrkEQAgDAv7Cfvt5y4AxlbsHTI7hju+MJoYjlRZ1/NptNr9c3NTVNzJ2MM/FAnnRizIw9P+ycMnHq2cu/vfnOptbOdzabTW+p9waCEAAA/oKiqBaCwbvxts4MFPNnZ2PRMsRg0FuXO5nNZpVKlZGe0T21J+5gZ0Z2l3PCaqxVD69e8t3xQ1s/2NI/uz/dNbYNCEIAAPgd6SCuVBJnS4hzpXhGJH9WtuswFhFEa1luZTabD+w/0KtXrzlT5vo7pXaH3Wa2B/uHZuWm9/PrIZVJhw4bOnp6p5qGCkEIAPB2lI0gLmoIlZq4qGGF+uEZUaLcDGaguwd90au5uXn7tndjYqL3f/R1cxm5dvkrMv9gA2qKyYh488vXysrK+vfvz+ikJ8QQhAAAr2b98Gf7L0VYtAzPiORN7cOUdNBet3ZCkuSra9dxMA7Dwjx9+NzWim2je487VXswOinyy0NfFBUVdenShcFghIeH011pO4IgBAB4F6fejFjM1sDj5CTyxndn8Dn0VuVmTqdz9TPP6Wr0Pbr0+vXzM5YW89C+wy/rzodEBb/0yepnLE9IJBKEUGJiIt2VugMEIQDAKzhqmgiVmlCVOGoN/Bn92D1iXcdZci/a/4iiqKceX1FyVT116IyfP/9FJgqtYtc0MXV8KffhTfNWCB9zXfx0paD3gCAEAHRmjrJ6u0pNqEooqw1Pj+SO74HHe1fzA0KIoqhHFiy9evnqw5MeO/rF8XR5t6LLVwLC/YxEw9y1M1cEPE53gTSDIAQAdFJOyrDiI4QY7MxI/kMDsUgp6pxLPf6W0+mcM+0h9bXSJ6ev/Png/3pH5Fy8cr53Ts/yOu2LL/xHKn2K7gI7CghCAEBnQTqIq1WYMpAh4iKEEJMh/s8EhphHd1nuZrPZpoydqqvVL5/6zIVfLqXLu11WF4ybMq6k/PqCNSuCgryoFeQOQRACADwb1eJqfighCrQsuT9/dg5LdGPbI69KwcbGxomjJjnt1MNjHq8pqlf6RZQbNVMenKip1Cx4fo4nTj5zGwhCAIBHokwtxPlSu0pNFlViMcF4RiR/Wj+vSj6Xa9euzZr8oMxXNjpzPNbIo5CT5UvlzRzV0NQw++lpPJ7XfUPuAQQhAMDzOGubjM99iicq2D1iBAsGt85C8x5HfjiyYtnK/lk5EodvLDvp3LUzaf/XtYxZjHGw3AXDxrA61eSX9sagKIruGm4oKyvLyckpLS2lu5BOy2QyiUQiuqsAbcBsNgsEgs465uO2HNWN5OVydr8uDHan+vXdarVyuVwm805Xsb71xtb3t+9aMnXpwYMHEyRd95zbefjzo1s+fj2uS+z8RfPbtdROrFP9lwIAdCoUcmjq7GfVhKqEaiHwjCi6C6KH0+l8eP4j14vULyx++a11b8/t8fCeL3a/8vKr23Zvef2d1yJ6hW7o9RrdNXo2CEIAQAdDUeTVKvtZNZGvZrAxPCOSP38wFh7kbc0PFRUVyxY9FheRMCp93G+Hz2Qouh/75cjatWu/+Pazde++lJqW/N8h79BdYycBQQgA6FiI/NKWb1R4WoTw/0axQv3oLsfdfjj8w+6dex6aMu/7L38IMUV++dmXU/rPGDFuuKa6bN7zswMCAsbOHk13jZ0NfEboReAzwk6jM31GSDXbiYsaR6WeN6473bXQwPUZIUJo86bNDMR8YNDM/rl952QuPnjty7UrX3l+23+6Zqa8suFlusvs5OCMEABAA8rUbM8vJVRqsrgKiw1h94qluyIaVFZWfvbpZ2NG5l04fumbHYdJkvStCp4+bubeIzv/s+aZHuPSDk39lu4avYL7gtBgMBQXF4eFhcFcAwC8ltNgJU5ds6vUDm0DnqRg944TLB7C4HpX88OZM2d4PF5sWPy00TPTJD2mvjl9w7LNRtSIi7CRKwf4+fk9jZ6gu0bv4qYgfO+99zZv3tyjR4+6urrPPvvMPU8KAOho7CeLnZV67vA0LFHBwFl0l+M+DodDq9VGRET89N3PTyxZ3mxrXj361UR5yg8XvskdN7LX0tRTS3+lu0bv5Y4grKysfO2111QqletSOADAK1CILK0lVGoGjnHzslzHuMNS6S3KzRwOB4vFQggN7DWIaHJmRffoHtbXbDMjFtVzRdJE5bCmpiaxWEx3md7OHUF4/PjxtLS0xx57rL6+fsGCBYMHD3bDkwIA6OFwkler7Co1ka9mcHE8IwrvHk13TfT4fN/nq556Lio0ZtXwV/RVhqjAGCQjpr6VO+SFnjiOu/KPzfauy8IdU1sGYXV19ZYtW24+IpVKly5dWldX9/333x8/fpzD4QwdOvTYsWNhYWFt+LwAgI6ALKq0/a+IOF/KChDjmVHC5WNYwV436LmxsXHahOksJ/7y3A1fvf19r5Dsn0p/iJ+t/HHhD/n5+f3790cM5O/vRVsBe4Q2CMLWc3+BQNC3b9+b/8q1WD8wMLBv376JiYkIof79+585cwaCEIDOhyyqxMICeeO6M/2EdNfibtu3bb90/vLSGY//9PUJdoPQQphKm66v+2Dt3gMfL+r/oDCUK0RcuBjWYd1RH2Ftbe0zzzyTn59vMBgKCgr4fL7ruMFgmDFjxo8//ojj+KpVq5YtW3bbu1dWVg4fPlylUrFYrB49erz99tsZGRl/vRn0EbY36CPsNGjvI6SMzfZ8NaFS42kRnAFJdJVBL7VaffrU6RFDRtZc0I2bOaZnWL9AeeCCxfNe37NeIOGvefl51xnCP7vbWaOgPdzRGSFBEPHx8YMGDZo6darT6Ww9/txzzyGEdDpdWVlZz549+/Xrl56e/te7h4aGLl26NDs7myCIESNG3DYFAQAdn7PBaFepCZXaUaHDk5Xsvgl4ajjdRbkVRVGVlZVyudxuJEcNHJMamHXwzaMr5v0nMTHxct25nc+/GxYfvKn/RrrLBHfnLibLVFRUKBQKk8kkFAoRQhRF+fv7HzhwwHU5dMGCBVwu94033rjnUq5cuZKVlTV06NDWI3l5eePHj7/nBwS3MJvNrp8d8HTuPiOkkOPwRUd+KaW3sLoqmanhzPhghHlR80OribmTGysNXSPSZmYsWPn10kZz47ylDz04f/Y9PyCcEbY3NpuNYf9yynfvnxHqdLrGxkbXJ38IoS5duhw+fPieHw0hxOFwBALB5MmTXV8yGIzMzEzouGhDBEHA97NzIEmSy+W6MQgpG4ZxHuiLxQQjZmeY63ZX1q1dt/fDTxZOeKS7X78adV1sUEKzwNztubijLxw2GAwSieR+HtzpdEIQtqs7+d7eexA2NTUhhFrPMMRisV6vv+dHQwgxmUw+nz9p0qT7eRDwD5hMJrzeOgfXj7JdgvBG80MJoVILFg7B4kNdh3mjMtv+uTqwIz8cOXjg0Nyp83k6yQdv756W+dBXx/Y/sHfK4dkHT/52cuDAgSychRDy9b3fZbHM37VF1eAe3ft3PyAgACFkMBhcXzY2Nkql0rYpCgDgXpSdJPJLLduPNC3d2fzpSaafSLhibGsKeom6urqzZ89SDqrpqnnJ7KXca76r/+95Foe5acvrVUHXN763ThzO9w/wz83N5fF4dBcL2tK9nxH6+PgEBwefO3duyJAhCKHz58/Hx8e3XWEAAHegjM3WXceJy+WsiCB2RhRvfA8vbH5ACLWYW/pk9JPxQ3Lih44fOHFwnyEHz3/x0oYXlUODlGjQkHGD6C4QtKM7CkKKovLz8+vq6hBC586dEwqFaWlpCKH58+evWbMmMTGxqKjowIEDZ86cad9iAQBtgbKTDPbvr32chWdF8x/MYQi97vPjurq6vGHjEMl4ff5WewWFSGSn7DFjFClzIrcs3UR3dcB97igIHQ7HihUrEEKDBg1as2YNl8v9+uuvEUJPP/10Y2Nj7969/fz8du7cGRvrjRupAOApnPVG+9kSQqV2VDdKXpnOEHERQgwem90jhu7S3Ke6unrzxi05/XOS/NIPfXZU2CwhEakT1AxZPeDsytPV1dVxcXF01wjcDTbm9SLQUN9p3FX7hKNcR6hK7Co1ZbDiaRF4ZhSeEOpVzQ8kSVZXVysUipYG+8Nzl4pN/l8VfHZw01HfROFH372Hc/ElS5fQNZ0A2ic6AtiYF4BOi7xaZXn3KKIodkYkf0Z/LEaGOsWm9nerd3pfysoYlpqbmzSuT1K/jXvXDRk9OPYBOULosa6P0V0doB8EIQCdiMPpbDAypT6ur1ghfsKlI1gKrxvxXFFR8cj8pbHh8QuHLtUVGJvqDbHSBIaS6LY6vhsjfvaLD9BdIOhYIAgB8HiUnSQLtHZVCXFeg0UGCZ8Y7TrOEHFZIm9ZAlNXV3f9+vXuWd2NJc3/Xfe+3BL9zYFvpg+cnTBH+dPcY5cuXcrOzkbeeD4M/h0EIQCeirLYiPNldlUJWViBRUrxzCjepF5MHwHdddGAaCH7ZWXLBWHpYd2mj5g1etjo5995dtyMvOTxsQghAZLJZDK6awQdFwQhAB6p5WC+7WsV1kXOzogSPDSQIeDQXZG7fXfwu+efeWHi0MnDY/Mar5sYDqaFNMeOUqYsjkQIfT3pAN0FAo8Bq0a9CKwa9WjOOoPTYsMighBCZrOZz8QZGOuPdkAvQFHU6dOn5XJ5oDBIV2Ca/ciMoZGj3z295af9J3y7iAhkr6ysjI6OprvMuwOrRjsCL3oVAeCJHNoGu0pNqEooYzNneJorCBFCDB6bxv0IabFr24c739hV3VSxffbekJTAp556atuet9a/9Upghg9CCEM8j0tB0EFAEALQ8VCUQ1NvP1dGnLpGEQ48LYI3tQ8eH4pY3nXeYDQaF85ZzMf4T09bZbjSrDtvsdhMGJfVfVU8j8+LRfIBU/rRXSPoDCAIAehwzK9/42y04OmRgsVDWcoAustxq8bGRhaLJRKKTGXWT3bsJ0sZpRZtYY/C7Ml90p9cNF4zPCAggMeHmdegLUEQAkAzykYQBVqmrxCLurF/i3DpCK+a/NKq8FLhhJGTHKTztYlbFQp5n6zeP1w4FB0YPmxJDo7jCKHw8HC6awSdEAQhAPSgLC3EuTK7qoS8UolFybijb9rwz2tSsKWlZfPrm+VyxeCU4boC429HL/EZQgK3K6f6d+0ejRDal/cx3TWCzg+CEAC3cjZaCJXaripxlNbhiQp2VrRg3iAG3+uaHxBCpMWx47Vdpw9c+Khur/SR8C79YmeMGZd0JZzD4XTtmkx3dcCLQBAC4EYUZV5/gBUexB2UgiUrvar5weX7775/+rFn+qb3n9fnYXN5S4Q4drvpncCIgN7L0jgcDkKoW7dudNcIvA70EXoR6CN0P4em3p5fyu4WzQr1a8OHvavdJ+hFEER5eXlkZGRznU1XYPy/Zx+LEXfZd/GDk4dP+8YJmbh3rYP9K+gj7Ai87hdSANqdkyKvVRMqtV2lRiwGOyPKC/e8bdW/WzbDgvWO6zcxa7pfkuiZl1b+d8/bby7d5J8kprs0AG6AIASgjVCIuKQlzpbY89VMHwE7I0r42EiW3Lt2fiAIYu/He8PDw1NC03UFRl2B0VhvjgiIxiJQ1rNxiIEQCtmSvZnuMgH4EwhCANqGs8HYcjAf7xouXjWRGeiNpztOktqx4b1v93x/re7qtiXvR/UIS5wXfnzR0YsXL/br1w92fgAdFgQhAPeCMrcQ50qJAi1/Zn/XlU9moFj0VB7ddbnbu9ve/eWnk48/+CReI2i6apYQ0pKmYnGQsOfyZNfiFz7iDBgwgO4yAfgnsFjGi8Bimfvn1JuJfLVdpXaU1uFJSjwzit092v3bvneExTKExVF3Qd9vbO+8pEl2QfMzK//jnyTChZjdbsdx3CMW8nQEsFimI4AzQgD+HWVqsf10mThb4mgw4qkR3CFdsUSFFzY/vL9j11uvvzVn/II+0gGWihafOOHQAUNPXft56+tbZCm+rtuw2Wx6iwTgbnndKxmAe+Co0jubLLxJvbC4EG+bfO3ian5488UtszMXfbBv5+TPJvnECZkYY+ssWPkCPB4EIQB/5qTI4iq7Su2sbRI+Psp1DIsLweJC6K3L/Xa8s+P1V98Y2G3IrLQFDpvTL0n84otrP97/0cYd6/0S4Ro76DwgCAFACCFEOojL5YRKbc8vZfoL2RlRnAFJdNfkbiRJYhhGOSmj2qorMH6y+Yu82Clfn/70xXUviBQ8xEBRKHjEtCF0lwlAG4MgBN6OLKmxfX+BKNCylAHs9Ejx6CxmgDee7qxa8dwXe78YkDF4WuI8jg/unyJ+c9em3Z99+MGr74uUsO0R6MwgCIG3o8wtWKKCP6MfQ+Rdb/cEQeA47rA5G6+YGi4af/j06PCYsb9d/2n9u69wfHGEEEKBL2SsoblKANofBCHwIk6dyTX5jBkgEswb5DqIdw2ntSh6DOk3rFJT9fCYx1KF3cURAv9k8Z5vPzhw6Kvd4z/4PQUB8BYQhKDzc9YbiXOl9tPXHdWNeNcwzsBkvGsY3UW5ldPpdHWq2RoJXYGx/mLT9SslvSL6lRPq+atmsbiudbC+y+IfpbdOAGgBQQg6M9sPF21HCygbgWdE8sZ3x+JCEdPrGr3Pnj07e/IcCd/njZnbHSbKL1GkGBC0r/vec+fyp02f9nsKAuC9IAhB5+KkEEW1tvoxgyT8BYOx8CBvHHRJIVN5s67A+NXOwwmSlML6C/45/PB0OYPJQAj5oYzMrAy6SwSgQ4AgBJ0BRTjIS1q7Sk2cL+WNyuIM7eo67m2XQBFCM6fMvnyhcNWcF0Kaw1kcpn+y+NF1iz/+Zvfc+BkRmQq6qwOgI4IgBB6MarYTFzSEqoQo0LLCAtmZkbyx3Zj+3tj84CSppqvm6vyGX4/9OiR+1MkrJ1a/ks0L4rj+9uFHl9BbHgAdGQQh8EwUMm8+SBZWYLEheEYkf2Y2Q+R1m99+smffBzs+XPrQsggUp79s4ss4fomi59c+f+5S/pOrHuP5c+guEADPALtPeBFP333CqTczhNzWUddkUSUrPJDB9cYRz021hma1I2dC3/k9Hv2h7Ov3t37glyTGBSy66wJ3DXaf6AjgjBB0dI5KPaEqsavUTp1Z+OgILCbYdRyLD6W3MHe6ePHi4e8OT8mbyqzh6gtNRo3FJ0q45KFHvjyyb/WGZ6XdfekuEAAPBmeEXsSTzggpRKprCVUJoVJTpANPj2RnRGKxIV7Y/IAQsla3ZPXsNjB8eLmpbP1TG/2TxaxgJJIIYc+/TgDOCDsCOCMEHY6zwWRa+zmDx8YzIgWLhrDCg+iuyK2MRqPVapVJZSZts67AoCswOkkqNSbt6LWDTz77RPSkUISQ2Wymu0wAOg8IQkA/yk6SxdV4Qqir/4/pLxQ9M44ZIKa7LhroGnR9MvpiFPvRISvSYzP8k8VxMxRCOW832tU6HQYA0LYgCAFtKKuNuFBGnFUTl8uxSCkWEcgQcBFCiMHwthR0Es7Gq2ZdgfHa6VLKjoRCkXSIMH1SzM23gRQEoJ1AEAJ3o0wtxMUy++nr5NUqLFKKp4bzZvZnSvh01+VuR3448tzTayaOnDw8boyr+SGgq2TQ6h7fLPlKr9d369aN7gIB8BYQhMCtiHOllu1H8JQwdp94weKhDI43bnRgN5H6S8YNT70xLmLa2+++OWX/A5FjgrHfmx+ifaLpLQ8AbwNBCNqXo0LnKKtn94l3fYmnhvtsfqh1Fgk4Ln8AABkPSURBVKg3oCjq559/ViqVIT5yXYFRX2gyaa2SSMFjyx5/Z+/WV95cK82C5gcA6ARBCNoBRZEltYRKbVeVIAfF7hX7x18xGIjlXYv+d2x+b8+2T8r1mu1zPpanSUOzA3xiBAwWowsKGzIzh+7qAAAQhKANOSnyeo399HXi7HWEsfDUCMHcQVhMsJfu/KCx6gqMDReNliKy0apjC7Ceq7pwuDD2DIAOB4IQtJmWr84SFzV4RqTo6bFMqQ/d5bhbcXHxowuWZaRkzcle2HDRiHGZfoni2AfkmeHzJ1bn+vn5QQoC0DFBEIJ7RFlsxPky5HSy+ya4jnDzsrh5WfRWRQun3dl41fzWc9tTsG4ff7x77siFKUsiuAF/DEENCQmhsTwAwD+DIAR3x9lkIfJLCVUJWVKLdZFzcpLorogGTU1NPj4+ZLOjqdisv2xyNT9MmTj15R1rFj2+MHxIMN0FAgDuAgQhuCNOncl++jqhUjuqGvGuYZycJMGjI1s3gvAqE0dNVheWZncdNCF+uk+M0D9ZHJkXjPFZCKGvpuynuzoAwF3zxjcycA9avjqLGAxuXhaeIPeq5odWLTq77qJRV2AsPn8tXdGtlqzs/lw8k+2N3woAOhkIQvAXFEVeryFUalZEELv7jSlf/Ae9a6E/QRBHjhxJSUnxZQXoC436y6bmOptvgkg+MPDbvK9O/O9E7qhcSEEAOgcIQvA7h5O4UkGcVRP5aoaYh2dEYdEyumuiCYXWPPnixZ8Ki6ov7X7kgH+yODxXJg7nu/pA/JBo6gNT6S4RANBmIAgBIs6X2U9dIy5oWME+eEak6D/jmUESuouiAeWgDNctDReN+ktGZhWvyljuJ/PNfCb23+8JAPBkEIRej0L2syVYTDBvci+mj4DuatyqsbFxz4d7+vbrK8cjGi4Y9IUmrh/bL1GUvCSiW9CKBVUzpVIp3TUCANodBKF3udH8kK/m5mZg8aEIIcRAgrkD6a6LBqTV8dT8lagaf/Oltz5/7mBAijg8V8YW//GKgOY/ALwEBKFXcNYa7GdLHKevGetNeGoYJycJi/HSXje7gdBdMukKjCatNdavy3un/5veMzVpYTjddQEAaANB2JlRdrLlWxVxVk2ZW/D0CGZumjg92tuaH3777bfzqvOT8qa0lDgaLhistTafGGFQpk/Cg8qenC7LyEUYBq8CALwavAV0ajaSwWDwH8zBoqSIwTCZTN6Wgo0a0/SxM7vJe185ULp0/qPKoUGSKAHjpu0vIAUBAPAu0FmQDuJKJXG2hLhULlo1wbXhO0PE5eZ530bnFDKWWnQFRl2BCTGRXCq/0HD2jZdejxoMn/kBAG4DgtCzUS0EcVFDqNREgYYV6odnRIlyM1wp6D3q6+vPnDmTk51D1FIN5w0NFwwYj+WXKI6dJhdH8I+vPEaSJJz5AQD+Drw7eCpHpb7505NkUSUWLcMzo3gP9PG2/HNx2J0j+udG8uN2Mfc+M+M5/2RxytJIrh/75ttACgIA/gG8QXgU0oEwluuPDJzF7hEjWDCYwWP/8506JdLi0BUadReNhhKLkCUqN5UNHTc45ZFIuusCAHgeCEIP4KhpIs6WECo1ZbWJX53uOsgMkrC9Zv6L0+kkSZLNZhNmsrHI3HDeYFBbJJGCgFRJ7APyoy8erqysVCgUdJcJAPBIEIQdl6Oszq5Su/IPz4jkTeyJxXnjco/GxsbsHgOIFvKlaRtkLIVfF5G0h2/8LAUT/2MFLKQgAOCeQRB2RPaTxc2fnWRgLDwjkv/QQCxSihj/fq/Ox1zRrCswnj9egKzMYFEIGWnuPieewfTK7wUAoN1AEHYMpMNpamH63hj1yQoPFD4+ihXqR29R9KCQscyqv2zSFRgoB/JLFOUs7LVx8LrGpsbx48cyGJCCAIA2BkFIJ6rFTlzUEmdLiAItu1csf0Z/13FWsC+9hbnZ3j2fnPjxf4/MWsquF7qaHwJSJXEzFEI5z3WDgRHeOA0VAOAeDIqi3PNMVVVVLBbrH8b5l5WV5eTklJaWuqceGlGWFuJ8GXG+jCjQsuT+7G7ReLdoN+z8YDKZRCJRez/LXXHYnPpCY49hWXlJk824YfXK5/ySRLc0P4C/MpvNAoEAzo87AavVyuVymUzvGvnU0bjjjNBms40ePZrH49lsNoFAsG/fPm/+qVvfP24/dQ1PUuAZUfw5A7yz+YGwOPSXjLoCo0FtEUcIBvQZdKL4hy3vbg7p7k93aQAAr+OOIFSpVA6HY//+/QihjIyM4uLi+Ph4NzxvB+GoamRgzNatbrmjMnjT+jJwFr1VuZPD4WCxWAghWxPReMWkv2z6o/lhuhzjsrbPe5vuGgEA3ssdQRgbG6vX61Uqlc1mczqdXrHSnUKOsjq7q/nPRvCm9G7t+WP6d6yLk+2tsLBw8uipHBZn85ydTDPLL1Es6+kXP1vJxOCyHgCgQ2jLIGxqatq1a9fNR0Qi0Zw5c3x9fXv06PHkk08SBDFkyBA+v/NOAnNS5PUa4nyp/WwJclJ4agR/zgAsJtgbmx8oZK5obrho/HbvMSUvqtKkEfZgJvWF5gcAQIfTlkHIYrH8/P604l8gECCEvvjiC4PBcOzYMYTQiBEjjh07NnBgZ1wESCHD8g8ZQi47I1K4LJcV4l0rP2/4vfmh4aIBUcivi2ju6ll+x3iyUFly/y50FwcAALdxR0FoNBrXr19/9uzZ+vr6Q4cOBQYGuo4TBLFs2bLPPvtMIBCsWLFi/vz5M2bM+Ovd7XZ76/I2BoNht9vbqnp6Uc124pIWi5Ix/YQIIcRA4penedWHfwihiooKgUAgEfkY1Rb9ZVPDeQPGZwWkSuJn/tH88FD0Q/QWCQAA/+COgrC5ubm5uXn8+PHz5s0jCKL1+IYNG1Qq1aVLlyoqKgYNGpSWlpaVlfXXu48bN27Xrl2DBg0iCCIgIGDw4MFtVj4dKGOzPV9NqNTktWosLoQl/2Oho7el4MkTJxfMXNxia3lj0rvymBD/ZHHXZVEcX5zuugAA4C7cRR+hwWDw8fGprKwMCbkx8TI6Ovq1117Ly8tDCC1dutRut2/btu3v7m40GplMplAo/LsbFBUVdevWbdKkSa1HRo4cOXz48Dssr71ROrPzvIY8V+qs0LMS5az0CGZiKIPrSc0PbdVHSFocjYWWpkLLiRM/7/zlbQtpOnBovzLaC9ZAdRjQR9hpQB9he8Nx3LVq/R/c+2eEBEGUlpampqa6vuzateuHH374D7cXi8X//IA4jnM4nMzMzNYjERERON4hTi+cOpP1tW+wJAV3ZDrWRd66F5JnwXH8fr6ftkai6aq5sdBsLLWKI/iBaZKHpk/tWZwiEokiIiLasE7wr1w/SgjCTsD1o4QgbD938r299yDU6/VOp7P1DEMikTQ0NNzzoyGEWCyWUChcuHDh/TxI26AQWVpLFmg5g1MYfA5CiBXkI3l9Nt1l3S8Wi/Wvvxm1stvttbW1CoWiRWfXXzY1XDBY62x+CSJpN9/4WUoW+8b/rbS0tHarF/wt148SgrATcP0oIQjpde9B6Ofnx2QyjUajv78/QshgMAQEBLRdYXRwOMmrVXZVCZFfyuCx8YwoDz3zu3+Uk+qW3AMn2aMzJwxLGuWfJA4bLhVH8qH5AQDQ+dx7EOI4rlQqL1++7LosdunSpZiYmLYrzI0cTuKCxq4qIS6UsQIleEakcPkYbxt77UI5KUOJVVdgbChoshisUYGhnHhG1n/ivLEPEgDgNe40CEtLS41GI0JIq9W2tLRERkYihObMmbNu3br+/ftXVVXt3r3bNUTN4xBXKmxHC/C0cN74HjcaIbyMk6RczQ/15w04nxWQKkleGPnTvGNXr17t378/pCAAoHO701WjiYmJLS0trV8WFxezWKyWlpZFixbt37+fy+WuWLHi0UcfvZ9S3LP7hNNgJc6VOjT1/FnZ7fpEHdAtq0addmfTNUvDBYP+sokv4/gligJSJNwAT1oH67Vg1WinAatGOwL3bcP0r9o1CJ31RrtKTahKHJV6PCWM3T0GT/O6hY4mk6msrOyhB+YG+4eufWCjqcwqiRT4J4v9ksS4wEs/DfVQEISdBgRhR9DJN+Z16kz2/xXZVWpno5mdHskdnYUnhHrnEpgWvb3+rPHjd79MFKafuv4/bjwjYVY8iwMvPwCAt+vkQUhcLqcsNv60vlhMMPLKFY+tzQ/NdTZhNHfB/81959O3nk1dGd0vjO7SAACgQ+hEQehwEkWVhEqNmEz+9L6uY5x+Xjro2Vpja7hgaDhvcNidvvEi+YBA3wSh2WIWiUQvdV9Ld3UAANCBeHwQUnaSLNDaVWriQhlLKsEzotjdPbOL4z40NTUdPXo0u382buI1nDc0XDQyMYZfF1H0pFBxOB+WfQIAwD/w4CAkLmrsPxUSl8tZEUHsjCjexJ5MXwHdRdHASTinjZ4hcyg3rti89eEd/sni5MXhvEAO3XUBAIBn8OAgdNYZ8LQI/pwchoBLdy00IJsd+kKTvsDYWGz2ZwVdrrmQmBXf9dEouusCAAAP48FByBmUQncJNCAsjsYrpobzBoPaIokU+CWKosaHfCDaUVNTI5PJ6K4OAAA8jwcHoVexNRK6AqO+0GTSWiWRgoBUSdwMxc3ND5CCAABwbyAIO6jjPx4/pzo3LW+GXUvpL5ua62y+CaKQvv6+8WEMFqx+AQCANgNB2PFQSFdimPfAgl5h2aU/rHtsyePhuTJY/AkAAO0EgrCjoByU4bqlocCov2TEBViEIlJVd3LLy29G5MA1TwAAaEcQhDRzEs6mYou+0KQrMOICVkCqJHlxBC+Ic/jJQxRFwTBJAABobxCE9CCbHU3FZv1lk/6SiR/MCegqUQ6JYkvwm28DKQgAAG4AQegmp0+fVigUAaLAxiLzzc0PEaNluBB+CgAAQBt4C3aH99/etfOND6qaKnbM3hucEijt7hs/U8Fkw84PAABAPwjCdmSpbNEVGHUFxjqVyWq34FxW91UJXL43zsEBAIAOC4KwrVHIXNmsv2yqzzdQDsovURQ1ISTtiYfHq4cHBQVBCgIAQEcDQdg2KCdl0jQ3nDc0XDBgPJZfojhmyp92foiKgimgAADQEUEQ3hdX80PDBYO+0MT1Y/slilzND3TXBQAA4E5BEN4diqJefuGVhtqGx2ctt14nWpsfwnNlbDF8MwEAwPPAe/ddsBuIX78+c+ijH4KFoZ8z9k99cHLk2GCMx6K7LgAAAPcOgvDfNdfbdQUGXYGxucEeEC3zCRHriOopz+YFSX3oLg0AAMD9giD8W9YaW8MFg/6yydZE+MYLFYOCfOOFDBbj61n76S4NAABAm4Eg/DMKGcus+ssmXYHR1fwQOTYYdn4AAIBODIIQob80PwSkSuJmyIVyHt11AQAAaHdeGoRms3nbW9uSkpK6hfd2Xf/k+rP9EkXJSyJ4gdD8AAAAXsQbg5CwOF7///buPKaJPYED+A8EWss5lGtBEMshyBURlADBIE9FTfAIMetGwDUiq/sgQawH6GY1EqKL5iGJRtQ1iMGnf/gSNASJEMWS9yQFuxwiR8u1WG6XlqMUpftHd7sNKCILDO18P39Nf8PAtxnKdzrT33Aut/lX8a2rdx7+5ZdVQQ648zUAAGMx6K//xL8m1Xf+HP2nwsPM+1HfQ3dftw1/9sJ/OwIAYDL9L0LFoHKoQT7wj+Gxvglrb/PfhVlTXuYhLO/fX9pDdzQAAKCf3hbhtMkPq7bYqic/0J0LAACWF/0qwv9NfhhWfSaY/AAAAN+kD0U49Uklk4wONcgHRMNGHPXkB2dMfgAAgLnQ1SL87dffTiaf+iFs6x82/XGoQc5xYFn7mPv9yFtpa0J3NAAA0CW6WoQFf3+w1T7m/s95fzrwIyY/AADAvBnSHWCeUk4mN5pUX/zbXx1CKLQgAADMm65WyNq1a3/+5SHdKQAAQOfp6jtCAACABYEiBAAARkMRMkhOTk5PTw/dKWAB5OXlSSQSulPAAigoKKivr6c7BdOhCBmkqKiovb2d7hSwAEpKSpqbm+lOAQugrKysoaGB7hRMhyIEAABGQxECAACjoQgBAIDRDFQqFd0Z/kMikXh5eZmZmdEdRG/J5XIOh7NixQq6g8D/a2RkhM1mGxnp6jxg0BgbGzM2NjY2NqY7iN46cuTIlStXZv+aZVSEhJCRkZHJyUm6UwAAgJ6wtLQ0NPzGuc/lVYQAAABLDNcIAQCA0VCEAADAaChCAABgNBQhQ5WUlOzduzcoKGhgYGDaqsHBwT179kRERERERFRUVNASD+bu7du3Bw4cCA4Orq6unrbq3bt3Qf9148YNWuLB3LW1tSUkJGzatOnp06fTVlVXV0dGRgYGBoaFhQkEAlri6TEUIUM5OTlduHBBLpfP/Jhubm6uv79/RUXF9evXk5OTaYkHc2dpaZmammpnZyeXy6etGh0ddXd3FwqFQqHw+PHjtMSDueNwOImJif7+/oODg9NWmZubFxQU1NTU5ObmxsXF0RJPj6EIGcrPz8/f3/+LcwptbW1HR0cJIaOjo7a2tkseDb4Pj8fbuHGjiYnJF9d2dnbeunUL7yF0gr29fXh4uKmp6cxVnp6eq1atIoS4urpOTEwseTQ9hwm5ek4sFk87+cnj8Wavt8OHD0dERPj5+fX39888RQN0+fDhQ1dXl/aIo6Ojs7PzLJtQFLVz506VSnX+/PmQkJCsrKxFzghzMjg42Nraqj3C5XLd3d2/uaFKpUpJSTlz5syiRWMoFKGeEwgEb9680R45ePDg7EWYkZERGxt7+vTpxsbGmJiY5uZmAwODRY4J31ZbW1tUVKQ9snXr1tmL0N3d/dy5c4SQuLi41atXZ2ZmfnNmMSwBiUSSn5+vPRIYGDiXIkxLS6MoKiUlZdGiMRSKUFe1tLS8evWqtrY2ODhY+5pBd3d3VlaWWCwODQ3l8/kJCQkJCQnf9Z0lEsmOHTsIIZ6enh8/flQqlSwWa4HTg5bu7u7y8nKRSOTg4MDn8zXjMpksKytLJBL5+Pikp6dHR0dHR0fP70dMTEwYGBjggGaxDQ0NvXjxorq62tDQUPv9t1KpzM7OFggErq6uZ8+eDQ4ODg4O/t5vnpGRMTw8fPv27QWNDITgGqHuunfv3vPnz6uqqrQ/2Dk1NbVt2zaVSsXn88vLy1NTU7+2uUAgSEpKkkqlp06dunPnDiEkNzf3xIkThJD4+Pi0tLTs7Oz9+/fHxMSgBRfbs2fPHj9+XF9fP+1EdHx8fGNjI5/Pl0qlsbGxX9u8paUlKSlJJBJdvXo1MzOTEFJaWrpr1y5CyM2bN5OTky9evBgVFZWeno4iXGyVlZV3794Vi8WFhYXa43w+v7i4OC0tjcViRUVFffr06YubDw0NJSUllZWV5efnq1+MTU1Nvr6+hJBHjx799NNPhoaGx44dS0pKUiqVS/B0mAO3WNNtJ0+e1D5ILCkpOXr0aEdHh4GBgUQi8fX17e7upihq5oYDAwMdHR3qZWtr6zVr1vT19U1MTKhPtXV2dopEIkdHx6CgoCV7LgyXl5f34MEDzWGNWCz28fHp6emxsrJSKBS2trYCgSAgIGDmhiMjI01NTeplDofj7e0tk8l6e3s9PDzkcrlQKJTJZH5+fjweb+meDLOVlpYmJiZqXl8ymczR0bGqqmrdunWEEA8Pj+zs7N27d8/cUKlU1tXVqZeNjIwCAgIUCoX6N6Gvr0/7CvH69etxlnsB4dSoXhEKhaGhoeoDfx6PZ2Vl1dDQEB4ePvMrbWxsbGxstEfs7Ow0yy4uLi4uLoudFmZRU1Pj7e1tZWVFCGGz2UFBQUKh8ItFaGZmtmHDBu0RCwsLCwsLQoi5uXlkZOTSBIavef/+PYvFUrcgISQsLEwoFH6xCE1MTKbtSjab7ePjQwixs7PTfoXCwsIxhV7p7e21trbWPORyuVKplMY8MG89PT3TdmVPTw+NeWDeent7tc/KYFcuQyhCvWJqaqpQKDQPx8bGzM3NacwD8zZzV+JfdeoovCqXPxShXnF2dm5ra1MvKxQKqVQ6+8frYdlycXFpb2/XXMJvb2/HrtRRzs7O/f396ptUEELa29vVU+Nh+UAR6pV9+/ZVVVU1NjYSQgoLC93c3NQXGEDnbN68eWpqqri4mBBSWVkplUq3b99OdyiYDw8PD19f3/v37xNCWltbX79+PctngIEeKtBNOTk5FEWx2WwWi0VR1KVLl9Tj165d43K5ISEh9vb2L1++pDckzEVxcTFFURwOx8jIiKKoQ4cOqcefPHnC5XJDQ0Otra0LCgroDQlzUVdXR1GUmZmZoaEhRVFbtmxRjwsEAgcHh5CQEC6Xe/nyZXpDwkyYPqGrFArF+Pi45iGbzV65cqV6eWBgoKury8vLSzMCy9nk5OTIyIjmoYmJieZuk3K5vKWlxc3NzdLSkqZ08B0+f/4sk8k0D42MjDSXA8fHx5uampycnHD/3mUIRQgAAIyGa4QAAMBoKEIAAGA0FCEAADAaihAAABgNRQgAAIyGIgQAAEZDEQIAAKOhCAEAgNFQhAAAwGgoQgAAYLR/A0H7J1Tzj2doAAAAAElFTkSuQmCC",
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