{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "\n" ], "text/plain": [ "HTML{String}(\"\\n\")" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HTML(\"\"\"\n", "\n", "\"\"\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "using PyPlot, PyCall\n", "using AIBECS, WorldOceanAtlasTools\n", "using LinearAlgebra" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", " \n", "\n", "
\n", "

The F-1 algorithm



\n", " Benoît Pasquier and François Primeau
\n", " University of California, Irvine\n", "
\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "\n", "Paper: *The F-1 algorithm for efficient computation of the Hessian matrix of an objective function defined implicitly by the solution of a steady-state problem*\n", "(under review)\n", "\n", "Code: F1Method.jl (Julia package — check it out on GitHub!)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## F-1 algorithm – Outline\n", "\n", "1. Motivation \\& Context \n", "1. Autodifferentiation\n", "1. What is the F-1 algorithm?\n", "1. Benchmarks" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "As we go through, I will demo some Julia code!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "\n", "# Motivation\n", "\n", "For parameter optimization and parameter sensitivity estimation!\n", "\n", "The [**AIBECS**](https://github.com/briochemc/AIBECS.jl)\n", " *for building global marine steady-state biogeochemistry models in just a few commands*\n", " (yesterday's CCRC seminar)\n", "\n", "And the F-1 algorithm to facilitate optimization of biogeochemical parameters.\n", "\n", "But the context of the **F-1 algorithm** is more general..." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Context\n", "\n", "Steady-state equation\n", "\n", "$$\\frac{\\partial \\boldsymbol{x}}{\\partial t} = \\boldsymbol{F}(\\boldsymbol{x},\\boldsymbol{p}) = 0$$\n", "\n", "for some state $\\boldsymbol{x}$ (size $n \\sim 400\\,000$) and parameters $\\boldsymbol{p}$ (size $m \\sim 10$)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Constrained optimization problem\n", "\n", "$$\\left\\{\\begin{aligned}\n", " \\mathop{\\textrm{minimize}}_{\\boldsymbol{x}, \\boldsymbol{p}} & & f(\\boldsymbol{x}, \\boldsymbol{p}) \\\\\n", " \\textrm{subject to} & & \\boldsymbol{F}(\\boldsymbol{x}, \\boldsymbol{p}) = 0\n", " \\end{aligned}\\right.$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(PyObject , getfield(Main, Symbol(\"#f#5\"))(), getfield(Main, Symbol(\"#s#6\"))(), -1.2:0.1:3.0, -1.2:0.1:3.2)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function constrained_optimization_plot()\n", " figure(figsize=(10,6))\n", " f(x,p) = (x - 1)^2 + (p - 1)^2 + 1\n", " s(p) = 1 + 0.9atan(p - 0.3)\n", " xs, ps = -1.2:0.1:3, -1.2:0.1:3.2\n", " plt = plot_surface(xs, ps, [f(x,p) for p in ps, x in xs], alpha = 0.5, cmap=:viridis_r)\n", " gca(projection=\"3d\")\n", " P = repeat(reshape(ps, length(ps), 1), outer = [1, length(xs)])\n", " X = repeat(reshape(xs, 1, length(xs)), outer = [length(ps), 1])\n", " contour(X, P, [f(x,p) for p in ps, x in xs], levels = 2:6, colors=\"black\", alpha=0.5, linewidths=0.5)\n", " plot([s(p) for p in ps], ps)\n", " legend((\"\\$F(x,p) = 0\\$\",))\n", " xlabel(\"state \\$x\\$\"); ylabel(\"parameters \\$p\\$\"); zlabel(\"objective \\$f(x,p)\\$\")\n", " xticks(unique(round.(xs))); yticks(unique(round.(ps))); zticks(2:6)\n", " return plt, f, s, xs, ps\n", "end\n", "constrained_optimization_plot()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Unconstrained optimization along the manifold of steady-state solutions.\n", "\n", "$$\\mathop{\\textrm{minimize}}_\\boldsymbol{p} \\hat{f}(\\boldsymbol{p})$$\n", "\n", "where \n", "$$\\hat{f}(\\boldsymbol{p}) \\equiv f\\big(\\boldsymbol{s}(\\boldsymbol{p}), \\boldsymbol{p}\\big)$$ \n", "is the objective function.\n", "\n", "And $\\boldsymbol{s}(\\boldsymbol{p})$ is the steady-state solution for parameters $\\boldsymbol{p}$, i.e., such that\n", "\n", "$$\\boldsymbol{F}\\left(\\boldsymbol{s}(\\boldsymbol{p}),\\boldsymbol{p}\\right) = 0$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function unconstrained_optimization_plot()\n", " plt, f, s, xs, ps = constrained_optimization_plot()\n", " plot([s(p) for p in ps], ps, [f(s(p),p) for p in ps], color=\"black\", linewidth=3)\n", " plot(maximum(xs) * ones(length(ps)), ps, [f(s(p),p) for p in ps], color=\"red\")\n", " legend((\"\\$x=s(p) \\\\Longleftrightarrow F(x,p)=0\\$\",\"\\$f(x,p)\\$ with \\$x = s(p)\\$\", \"\\$\\\\hat{f}(p) = f(s(p),p)\\$\"))\n", " for p in ps[1:22:end]\n", " plot(s(p) * [1,1], p * [1,1], f(s(p),p) * [0,1], color=\"black\", alpha = 0.3, linestyle=\"--\")\n", " plot([s(p), maximum(xs)], p * [1,1], f(s(p),p) * [1,1], color=\"black\", alpha = 0.3, linestyle=\"--\", marker=\"o\")\n", " end\n", " return plt\n", "end\n", "unconstrained_optimization_plot()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "\n", "Two **nested** iterative algorithms\n", "\n", "Inner solver with Newton step\n", "\n", "$$\\Delta \\boldsymbol{x} \\equiv - \\left[\\nabla_\\boldsymbol{x} \\boldsymbol{F}(\\boldsymbol{x},\\boldsymbol{p})\\right]^{-1} \\boldsymbol{F}(\\boldsymbol{x},\\boldsymbol{p})$$\n", "\n", "Outer Optimizer with Newton step\n", "\n", "$$\\Delta\\boldsymbol{p} \\equiv - \\left[\\nabla^2\\hat{f}(\\boldsymbol{p})\\right]^{-1}\\nabla \\hat{f}(\\boldsymbol{p})$$\n", "\n", "requires the Hessian of the objective function, \n", "\n", "$$\\nabla^2 \\hat{f}(\\boldsymbol{p})$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Autodifferentiation\n", "\n", "Take the **Taylor expansion** of $\\hat{f}(\\boldsymbol{p})$ in the $h\\boldsymbol{e}_j$ direction for a given $h$:\n", "\n", "$$\\hat{f}(\\boldsymbol{p} + h \\boldsymbol{e}_j)\n", " = \\hat{f}(\\boldsymbol{p})\n", " + h \\underbrace{\\nabla\\hat{f}(\\boldsymbol{p}) \\, \\boldsymbol{e}_j}_{?}\n", " + \\frac{h^2}{2} \\, \\left[\\boldsymbol{e}_j^\\mathsf{T} \\, \\nabla^2\\hat{f}(\\boldsymbol{p}) \\, \\boldsymbol{e}_j\\right]\n", " + \\ldots$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "A standard solution is to use Finite differences:\n", "\n", "$$\\nabla\\hat{f}(\\boldsymbol{p}) \\, \\boldsymbol{e}_j = \\frac{\\hat{f}(\\boldsymbol{p} + h \\boldsymbol{e}_j) - \\hat{f}(\\boldsymbol{p})}{h} + \\mathcal{O}(h)$$\n", "\n", "But truncation and round-off errors!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "A better solution is to use Complex numbers!
\n", "Taylor-expand in the $ih\\boldsymbol{e}_j$ direction:\n", "$$\\hat{f}(\\boldsymbol{p} + i h \\boldsymbol{e}_j) = \\hat{f}(\\boldsymbol{p}) + i h \\underbrace{\\nabla\\hat{f}(\\boldsymbol{p}) \\, \\boldsymbol{e}_j}_{?} - \\frac{h^2}{2} \\, \\left[\\boldsymbol{e}_j^\\mathsf{T} \\, \\nabla^2\\hat{f}(\\boldsymbol{p}) \\, \\boldsymbol{e}_j\\right] + \\ldots$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Because when taking the imaginary part, the convergence is faster and there are no more round-off errors:\n", "\n", "$$\\nabla\\hat{f}(\\boldsymbol{p}) \\, \\boldsymbol{e}_j = \\Im\\left[\\frac{\\hat{f}(\\boldsymbol{p} + i h \\boldsymbol{e}_j)}{h}\\right] + \\mathcal{O}(h^2)$$\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject Text(0.5, 1, 'There are better alternatives to finite differences')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "𝑓(x) = cos(x^2) + exp(x)\n", "∇𝑓(x) = -2x * sin(x^2) + exp(x)\n", "finite_differences(f, x, h) = (f(x + h) - f(x)) / h\n", "centered_differences(f, x, h) = (f(x + h) - f(x - h)) / 2h\n", "complex_step_method(f, x, h) = imag(f(x + im * h)) / h\n", "relative_error(m, f, ∇f, x, h) = Float64(abs(BigFloat(m(f, x, h)) - ∇f(BigFloat(x))) / abs(∇f(x)))\n", "x, step_sizes = 2.0, 10 .^ (-20:0.02:0)\n", "numerical_schemes = [finite_differences, centered_differences, complex_step_method]\n", "plot(step_sizes, [relative_error(m, 𝑓, ∇𝑓, x, h) for h in step_sizes, m in numerical_schemes])\n", "loglog(), legend(string.(numerical_schemes)), xlabel(\"step size, \\$h\\$\"), ylabel(\"Relative Error, \\$\\\\frac{|\\\\bullet - \\\\nabla f(x)|}{|\\\\nabla f(x)|}\\$\")\n", "title(\"There are better alternatives to finite differences\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "An even better solution is to use Dual numbers! \n", "\n", "Define $\\varepsilon \\ne 0$ s.t. $\\varepsilon^2 = 0$, then the complete Taylor expansion in the $\\varepsilon \\boldsymbol{e}_j$ direction is\n", "\n", "$$\\hat{f}(\\boldsymbol{p} + \\varepsilon \\boldsymbol{e}_j)\n", " = \\hat{f}(\\boldsymbol{p})\n", " + \\varepsilon \\underbrace{\\nabla\\hat{f}(\\boldsymbol{p}) \\, \\boldsymbol{e}_j}_{?}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Hence, 1st derivatives are given exactly by\n", "\n", "$$\\nabla\\hat{f}(\\boldsymbol{p}) \\, \\boldsymbol{e}_j = \\mathfrak{D}\\left[\\hat{f}(\\boldsymbol{p} + \\varepsilon \\boldsymbol{e}_j)\\right]$$\n", "\n", "where $\\mathfrak{D}$ is the dual part (the $\\varepsilon$ coefficient)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The dual number $\\varepsilon$ behaves like an infinitesimal and it gives very accurate derivatives!
" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnQAAAHNCAYAAACXRObvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOzdd1gUV/cH8O9so/cqimCJ2MGuKNaosSWxxfaqaIwlzZJiTF67v/gaE0ti7C0mGktiTGJHsSWigijGrlEEBZUinaXsnt8fyLLLFnYRWcr5PA8P7J07M2d3mdmzd+beKxARgTHGGGOMVVoicwfAGGOMMcZeDCd0jDHGGGOVHCd0jDHGGGOVHCd0jDHGGGOVHCd0jDHGGGOVHCd0jDHGGGOVHCd0jDHGGGOVHCd0jDHGGGOVHCd0jDHGGGOVHCd0zwmCYNTPyZMncfLkSQiCgF9++cXcYbOXaOvWrRAEAREREWW2zbNnz2LevHlISUnRWrZ69Wps3bq1zPZVlubNmwdBEDTKKnK8uly/fh3z5s1DdHS01rLg4GD4+vqWe0zGqGyv88tWkd8rAPjyyy+xb98+c4ehpfBz6+TJk6oyXa9lcnIyhg8fDnd3dwiCgDfffBMAEB0djX79+sHZ2RmCIGDatGnlGL1pXtaxvmPHDqxYsULnMkEQMG/evFJtt6xIzLr3CiQsLEzj8cKFC3HixAmEhoZqlDdu3BiRkZHlGRqrQs6ePYv58+cjODgYjo6OGstWr14NV1dXBAcHmyc4E1W2eK9fv4758+eja9euWif02bNnY+rUqeYJrASV7XWu7r788ksMGTJElQhVZLr+7xcuXIjffvsNmzdvRr169eDs7AwAmD59Os6fP4/NmzfD09MTNWrUMEfIRnlZx/qOHTtw9epVnclsWFgYatWqVartlhVO6J5r3769xmM3NzeIRCKt8vKUlZUFa2trs+0fALKzs2FlZWXWGFjpERHkcnmleQ/NFW+9evXKdX+MVQS6/u+vXr2KevXqYdSoUVrlbdu2LbNEtaod6+bMFVSI6TR27FiysbHRuezEiRMEgHbs2EGff/451ahRg+zs7KhHjx508+ZNrfohISHUvXt3srOzIysrKwoMDKRjx45p1Jk7dy4BoIsXL9LgwYPJ0dGRPD09VcvDw8NpwIAB5OTkRBYWFhQQEEC7du0y6rnMmzeP2rZtS05OTmRnZ0ctWrSgjRs3klKp1Kjn4+ND/fr1o19//ZUCAgLIwsKCZs6cSURESqWSvv/+e/L39ydLS0tydHSkwYMH07///mtUDLdv36YRI0aQm5sbyWQyatiwIa1atUq1/OnTpySVSum///2v1ro3btwgALRy5UpVWXx8PE2cOJFq1qxJUqmUfH19ad68eZSXl6eqc//+fQJAS5cupW+++YZ8fX3JxsaG2rdvT2FhYSXGvGXLFgJAR48epeDgYHJyciJra2vq37+/zudd0vtc+B4X/zlx4gT5+Pholfv4+KjWTU1NpY8++oh8fX1JKpWSl5cXTZ06lTIyMjRiAEDvvfcerVmzhho2bEhSqZTWrFmj9znu3LmTevbsSZ6enmRpaUkNGzakmTNnam23MPZCLzteU9678PBwGjZsGPn4+JClpSX5+PjQ8OHDKTo6Wuu9LP6zZcsWIio43tXjDwgIoE6dOmm9Xvn5+eTl5UUDBw5UleXk5NDChQvJz8+PZDIZubq6UnBwMD19+lRj3ePHj1OXLl3I2dmZLC0tydvbmwYNGkSZmZl635+SXucHDx7QqFGjNI6rr7/+mhQKhd5tqtu+fTu1b9+ebGxsyMbGhvz9/Wnjxo0adTZt2kTNmzcnCwsLcnJyojfffJOuX7+uUafwfHnjxg3q1asXWVtbk6enJy1evJiIiMLCwqhjx45kbW1Nr7zyCm3dulVjfVOOteLvFZFx56fbt2+TnZ0dDRkyRGPd48ePk0gk0nnuKS4yMpL69euner1r1KhBffv2pdjYWCIinf9jXbp0Ua1vynlryZIltGjRIvL29iYLCwtq1aqV1ueGPjdu3KDevXuTlZUVubi40KRJk+iPP/5QnW90vZaF+9V1ftJVfv/+fSIqm3OTscdQ4WfUoUOHqEWLFmRpaUl+fn60adMmVR1Tj3UiolWrVlFQUBC5ubmRtbU1NW3alJYsWUK5ubmqOl26dNG5XfXnN3fuXI3t/vPPP/T666+To6MjWVhYkL+/v9b/vqn5hCGc0OlhTELn6+tLo0aNogMHDtDPP/9MtWvXpldeeYXy8/NVdX/88UcSBIHefPNN2rt3L/3555/Uv39/EovFOj/sfXx8aObMmRQSEkL79u0jIqLQ0FCSyWQUFBREu3btosOHD1NwcLDGP6khwcHBtGnTJgoJCaGQkBBauHAhWVlZ0fz58zXq+fj4UI0aNahu3bq0efNmOnHiBF24cIGIiN555x2SSqX00Ucf0eHDh2nHjh3UsGFD8vDwoMePHxvc/7Vr18jBwYGaNWtG27Zto6NHj9JHH31EIpGI5s2bp6o3cOBA8vb21vow+vTTT0kmk1FiYiIRFZwUvb29ycfHh9atW0fHjh2jhQsXkoWFBQUHB6vWKzxB+fr60muvvUb79u2jffv2UbNmzcjJyYlSUlIMxl14YvD29qbx48fToUOHaP369eTu7k7e3t707NkzVV1j3ufY2Fj64IMPCADt3buXwsLCKCwsjFJTUykyMpLq1q1LLVq0UJVHRkYSEVFmZiYFBASQq6srLVu2jI4dO0YrV64kBwcH6t69u0ZiDoBq1qxJzZs3px07dlBoaChdvXpV73NcuHAhLV++nA4cOEAnT56ktWvXUp06dahbt24a9YondC87XlPeuz179tCcOXPot99+o1OnTtHOnTupS5cu5ObmRgkJCURU8IXhyy+/JAD0/fffq2Iu/MAofpJfuXIlAaDbt29rvA4HDx4kAPTHH38QEZFCoaDXXnuNbGxsaP78+RQSEkIbN26kmjVrUuPGjSkrK4uICv4XLS0tqWfPnrRv3z46efIkbd++nUaPHq3xf1Scodf56dOnVLNmTXJzc6O1a9fS4cOH6f333ycANGXKFL3bLDR79mwCQIMGDaI9e/bQ0aNHadmyZTR79mxVncLXbMSIEXTgwAHatm0b1a1blxwcHDRem7Fjx5JMJqNGjRrRypUrKSQkhMaNG0cAaNasWdSgQQPatGkTHTlyhPr3708AKCIiQrW+Kcearg9kY89PO3fu1PhyGB8fTx4eHtSlSxeN87YuGRkZ5OLiQq1bt6bdu3fTqVOnaNeuXTR58mRVghsWFkZWVlbUt29f1ft17do11b5MOW95e3tTp06d6Ndff6U9e/ZQmzZtSCqV0tmzZw3G+fjxY3J3d6eaNWvSli1b6ODBgzRq1CiqXbu2wYROLpdTWFgYtWjRgurWratxfgoLCyNPT0/q2LGjqlwul5fJsW7sMURU8BlVq1Ytaty4MW3bto2OHDlCQ4cOJQB06tQpIjL9WCcimj59Oq1Zs4YOHz5MoaGhtHz5cnJ1daVx48ap6ly7do06duxInp6eqm2qf7ksntDdvHmT7OzsqF69erRt2zY6cOAAjRgxQpWsFzIlnygJJ3R6GJPQ9e3bV6N89+7dBED1JmdmZpKzszMNGDBAo55CoSB/f39q27atqqzwA3POnDla+2vYsCG1aNFC41scEVH//v2pRo0aRn8bL9x3Xl4eLViwgFxcXDQOOB8fHxKLxXTr1i2NdcLCwggAffPNNxrlsbGxZGVlRZ9++qnBffbu3Ztq1apFqampGuXvv/8+WVpaUnJyMhGR6hvk0aNHVXUKW0QGDx6sKps0aRLZ2trSgwcPNLb39ddfEwDVCbTwxNisWTONg+LChQsEgH7++WeDcRd+yKi3xhAR/f333wSAFi1aRESmvc9Lly7V+HarrkmTJhrf5gstXryYRCIRhYeHa5T/8ssvBIAOHjyoKgNADg4OqtfUFEqlkvLy8ujUqVMEgKKiolTLiid0LzveF3nv8vPzKSMjg2xsbDRadffs2aP1gVao+Ek+MTGRZDIZff755xr13nrrLfLw8FAdiz///DMBoF9//VWjXnh4OAGg1atXazz3y5cv641bH32v82effUYA6Pz58xrlU6ZMIUEQtI5jdffu3SOxWEyjRo3SW+fZs2eq5ERdTEwMWVhY0MiRI1VlY8eO1Xod8vLyyM3NjQCoklAioqSkJBKLxTRjxgxVmbHHWuG+1N8rU89PU6ZMIZlMRmFhYdS9e3dyd3enuLg4va9DoYiICAKg+qKtj42NDY0dO1ar3NTzlpeXF2VnZ6vqpaWlkbOzM7366qsG9z9z5kwSBEHrf61nz54GE7pCXbp0oSZNmmhtt7B1TF1ZHOvGHkOFMVhaWmq8htnZ2eTs7EyTJk1SlZlyrBdX+Bm5bds2EovFGvH269dP77rFE7rhw4eThYUFxcTEaNTr06cPWVtbq76UGptPGIN7ub6A119/XeNx8+bNAQAPHjwAUHADfHJyMsaOHYv8/HzVj1KpxGuvvYbw8HBkZmZqbGPw4MEaj+/evYubN2+q7mdQ307fvn0RHx+PW7duGYwzNDQUr776KhwcHCAWiyGVSjFnzhwkJSXh6dOnWs+hQYMGGmX79++HIAj4z3/+o7F/T09P+Pv7a/SaKk4ul+P48eMYOHAgrK2tteKXy+U4d+4cAKBPnz7w9PTEli1bVOsfOXIEcXFxGD9+vEY83bp1g5eXl8b2+vTpAwA4deqURgz9+vWDWCzWeI5A0ftUkuL3kgQGBsLHxwcnTpwAULr32RT79+9H06ZNERAQoLH93r17a/VaA4Du3bvDycnJqG3fu3cPI0eOhKenp+p/o0uXLgCAGzdumD1eY967jIwMzJw5E/Xr14dEIoFEIoGtrS0yMzNL/RxcXFwwYMAA/PDDD1AqlQCAZ8+e4ffff8eYMWMgkUhUz9XR0REDBgzQeK4BAQHw9PRUPdeAgADIZDJMnDgRP/zwA+7du1equNSFhoaicePGaNu2rUZ5cHAwiEirQ5e6kJAQKBQKvPfee3rrhIWFITs7W6szhre3N7p3747jx49rlAuCgL59+6oeSyQS1K9fHzVq1ECLFi1U5c7OznB3d9d5/JV0rOli6vlp+fLlaNKkCbp164aTJ0/ip59+0rjBX6lUamxHoVAAAOrXrw8nJyfMnDkTa9euxfXr1/XGpC9OU85bgwYNgqWlpeqxnZ0dBgwYgNOnT6ti0uXEiRNo0qQJ/P39NcpHjhxpUrzGKItj3dhjqFBAQABq166temxpaYkGDRoYfT7X5dKlS3j99dfh4uKiOg+OGTMGCoUCt2/fLtU2Q0ND0aNHD3h7e2uUBwcHIysrS6sjZkn5hDE4oXsBLi4uGo8tLCwAFHQkAIAnT54AAIYMGQKpVKrxs2TJEhARkpOTNbZRvOdQ4TY+/vhjrW28++67AIDExES9MV64cAG9evUCAGzYsAF///03wsPD8cUXX2jEqm//hTEQETw8PLRiOHfunMH9JyUlIT8/H999953WuoUn/8L1JRIJRo8ejd9++001rMfWrVtRo0YN9O7dWyOeP//8U2t7TZo00fl6lPQ+lcTT01NnWVJSkioewLT32RRPnjzBlStXtLZtZ2cHItJ6vsb2PsvIyEBQUBDOnz+PRYsW4eTJkwgPD8fevXsBGP/6vMx4jXnvRo4ciVWrVmHChAk4cuQILly4gPDwcLi5uZX6OQDA+PHj8ejRI4SEhAAAfv75Z+Tk5GgkOE+ePEFKSgpkMpnW8338+LHqudarVw/Hjh2Du7s73nvvPdSrVw/16tXDypUrSx1fUlKSztfOy8tLtVyfhIQEADDYK69wfX37KL59a2trjQQEAGQymaqXZPFyuVyuVV7SsaaLqecnCwsLjBw5EnK5HAEBAejZs6fG8gULFmhso/AmegcHB5w6dQoBAQH4/PPP0aRJE3h5eWHu3LnIy8vTG596nKact/S9Frm5ucjIyNC7n6SkJL3rlrWyONaNPYYKFT8nAAXvaWmP9ZiYGAQFBeHRo0dYuXIlzpw5g/DwcHz//fcASn8eNPX4fNHPKYB7ub5Urq6uAIDvvvtObw8YDw8PjcfFx/oq3MasWbMwaNAgndvw8/PTG8POnTshlUqxf/9+jZOtvnGSiu+/MAZBEHDmzBnVP5k6XWWFnJycIBaLMXr0aL2tAXXq1FH9PW7cOCxduhQ7d+7EsGHD8Mcff2DatGkarTSurq5o3rw5/u///k/n9goPmLLy+PFjnWX169dXxQOY9j6bwtXVFVZWVti8ebPe5ep0vYe6hIaGIi4uDidPnlS1ygHQOUaeKV5WvLqkpqZi//79mDt3Lj777DNVeU5Ozgsl0QDQu3dveHl5YcuWLejduze2bNmCdu3aoXHjxqo6rq6ucHFxweHDh3Vuw87OTvV3UFAQgoKCoFAoEBERge+++w7Tpk2Dh4cHhg8fbnJ8Li4uiI+P1yqPi4tTxaaPm5sbAODhw4daLQjq2wegdx+Gtl9aJR1ruph6frp69SrmzJmDNm3aIDw8HMuWLcOMGTNUyydOnIj+/fvrXL9Zs2bYuXMniAhXrlzB1q1bsWDBAlhZWWn8/+mL05Tzlr7XQiaTwdbWVu9+XFxc9K5b1sriWDflGHoZ9u3bh8zMTOzduxc+Pj6q8suXL7/Qdl/k+CwtTuheoo4dO8LR0RHXr1/H+++/X6pt+Pn54ZVXXkFUVBS+/PJLk9cXBAESiUQjIcrOzsaPP/5o9Db69++P//3vf3j06BHeeustk/ZvbW2Nbt264dKlS2jevDlkMpnB+o0aNUK7du2wZcsWKBQK5OTkYNy4cVrxHDx4EPXq1TP60uKL2L59u8al8LNnz+LBgweYMGECANPeZ0PfuvR9y+zfvz++/PJLuLi4aCS/L6rw5Fr8A2/dunVGrV/e8eoiCAKISOs5bNy4UeuylKnfeAu/iKxYsQJnzpxBRESE1mvTv39/7Ny5EwqFAu3atTN6u+3atUPDhg2xfft2REZGGkzo9L3OPXr0wOLFixEZGYmWLVuqyrdt2wZBENCtWze92+zVqxfEYjHWrFmDDh066KzToUMHWFlZ4aeffsLQoUNV5Q8fPkRoaCiGDBlizNM1SUnHmi6mnJ8yMzMxdOhQ+Pr64sSJE/jss8/w2WefoWPHjqr3z8vLq8QvhYIgwN/fH8uXL8fWrVs1xiY1dFyYct7au3cvli5dqvoinp6ejj///BNBQUEa5/PiunXrhq+++gpRUVEal1137NhR4j5NVRbHemmOoZKYcqzrOg8SETZs2KBzu8aeP3r06IHffvsNcXFxGv9P27Ztg7W19UsZ5oQTupfI1tYW3333HcaOHYvk5GQMGTIE7u7uSEhIQFRUFBISErBmzZoSt7Nu3Tr06dMHvXv3RnBwMGrWrInk5GTcuHEDkZGR2LNnj951+/Xrh2XLlmHkyJGYOHEikpKS8PXXXxtsVSuuY8eOmDhxIsaNG4eIiAh07twZNjY2iI+Px19//YVmzZphypQpetdfuXIlOnXqhKCgIEyZMgW+vr5IT0/H3bt38eeff2rd6zN+/HhMmjQJcXFxCAwM1GqBXLBgAUJCQhAYGIgPP/wQfn5+kMvliI6OxsGDB7F27doyHeAxIiICEyZMwNChQxEbG4svvvgCNWvWVF3yNuV9btasmeo1GTt2LKRSKfz8/GBnZ6f69r9r1y7UrVsXlpaWaNasGaZNm4Zff/0VnTt3xvTp09G8eXMolUrExMTg6NGj+Oijj0p1IgwMDISTkxMmT56MuXPnQiqVYvv27YiKijJq/fKOVxd7e3t07twZS5cuhaurK3x9fXHq1Cls2rRJa+Dmpk2bAgDWr18POzs7WFpaok6dOjov4RQaP348lixZgpEjR8LKygrDhg3TWD58+HBs374dffv2xdSpU9G2bVtIpVI8fPgQJ06cwBtvvIGBAwdi7dq1CA0NRb9+/VC7dm3I5XJVq8arr75q8Dnqe52nT5+Obdu2oV+/fliwYAF8fHxw4MABrF69GlOmTNG6F1adr68vPv/8cyxcuBDZ2dkYMWIEHBwccP36dSQmJmL+/PlwdHTE7Nmz8fnnn2PMmDEYMWIEkpKSMH/+fFhaWmLu3LkG4y6Nko41XUw5P02ePBkxMTG4cOECbGxs8M033yAsLAzDhw/HpUuXtP5n1O3fvx+rV6/Gm2++ibp164KIsHfvXqSkpGhctm3WrBlOnjyJP//8EzVq1ICdnR38/PxMPm+JxWL07NkTM2bMgFKpxJIlS5CWlob58+cbfA2nTZuGzZs3o1+/fli0aBE8PDywfft23Lx509i3wWhlcawbewyZwpRjvWfPnpDJZBgxYgQ+/fRTyOVyrFmzBs+ePdOq26xZM+zduxdr1qxBq1atIBKJ0Lp1a50xzJ07V3Xf5Jw5c+Ds7Izt27fjwIED+Oqrr+Dg4GDSczKK0d0nqhljernu2bNHo7ywd1LxoUROnTpF/fr1I2dnZ5JKpVSzZk3q16+fxvqFvQgLh1koLioqit566y1yd3cnqVRKnp6e1L17d1q7dm2Jz2Xz5s3k5+dHFhYWVLduXVq8eDFt2rRJq7elrl5MxbfTrl07srGxISsrK6pXrx6NGTNGY/gBfe7fv0/jx49Xjb/k5uZGgYGBGr3XCqWmppKVlRUBoA0bNujcXkJCAn344YdUp04dkkql5OzsTK1ataIvvvhCNf6R+lhmxUHHmEHFqY+NNXr0aHJ0dFT1+rtz545WfWPeZyKiWbNmkZeXF4lEIo2eWNHR0dSrVy+ys7PTGm8sIyOD/vvf/6rGaSocBmb69OkawzLg+VhPxjp79ix16NCBrK2tyc3NjSZMmECRkZFa/8e6erm+zHhNee8ePnxIgwcPVo2z+Nprr9HVq1fJx8dHq7fhihUrqE6dOiQWi0scm6pQYGAgAdDbIzQvL4++/vpr1Rhotra21LBhQ5o0aZLq/yQsLIwGDhxIPj4+ZGFhQS4uLtSlSxfV8CeGGHqdHzx4QCNHjiQXFxeSSqXk5+dHS5cuNbrn+7Zt26hNmzaquFu0aKF1/tq4cSM1b95c9T6+8cYbqh6ZhfSdL43tMWnKsabvvSrp/LRhwwad5+e7d++Svb09vfnmm4ZeKrp58yaNGDGC6tWrR1ZWVuTg4EBt27bVGlfs8uXLqjH3UGwcOlPOW0uWLKH58+dTrVq1SCaTUYsWLejIkSMGYyx0/fp16tmzJ1laWpKzszO9/fbb9Pvvv5d5L1eisjk3GXMMGYqhS5cuWj3BTTnW//zzT9W+a9asSZ988gkdOnRI6/VKTk6mIUOGkKOjIwmCYNQ4dAMGDCAHBweSyWTk7++v9f9naj5hiPA8EMYYY8wstm7dinHjxiE8PFxvi0d1ER0djTp16mDp0qX4+OOPzR0Oq0S4lytjjDHGWCXHCR1jjDHGWCXHl1wZY4wxxio5bqFjjDHGGKvkOKFjjDHGGKvkOKFjjDHGGKvkeGBhM1AqlYiLi4Odnd0LTXvEGGOMsfJDREhPT4eXlxdEoorVJsYJnRnExcXpnT+RMcYYYxVbbGxsmc5IVBY4oTODwsmGY2NjYW9vb+ZoGGOMMWaMtLQ0eHt7qz7HKxJO6Myg8DKrvb09J3SMMcZYJVMRb5eqWBeAGWOMMcaYyTihY4wxxhir5DihY4wxxhir5DihY4wxxhir5DihY4wxxhir5DihY4wxxhir5DihY4wxxhir5DihY4wxxhir5DihY4wxxhir5DihY4wxxhir5DihY4wxxhir5DihY4wxxhir5CTmDoCVnatnfofy72/NHUa1QRBw3HYALlt30FpmIRFhRs8GaFTD3gyRMcYYq244oatC5M/i0FoeYe4wqhUhKxHf5tbXu3zDmNblGA1jjLHqihO6KqRG064Ip8XmDqNasMu4j4Z31sPXXsCy7v4ay5Izc7HowA2cup2AxIwcuNpamClKxhirfu4+u4vIp5Hwc/aDv5t/yStUEZzQVSE16zZCzbqNzB1G9RBzHrizHvYyYFDLWhqLiAh/RMXhysNU/Bj2ANN7NjBTkIwxVv2ExYfhq/Cv8Jrva/DvUn0SOu4UwVhpiKUFvxV5WosEQcA7QXUBANvCopGdqyjHwBhjrHqLy4gDANSwqWHmSMoXJ3SMlYZYVvBbkatzcZ+mnqjlZIVnWXn4/fKjcgyMMcaqt8eZjwEAnjaeZo6kfHFCx1hpqFrodCd0kpwUjG/lDADYHRFbXlExxli1F58ZD4Bb6BhjxjBwyRU5GcCaQIy98h9YifIRGZOCfxMyyjc+xhirplQJnS0ndIyxkhi65Hr3GJAeD3FaLCbUjAEAHL76uByDY4yx6kmeL0eyPBkAt9AxxoyhntARFZXnZQMn/k/18E2LSADAuX9uAenaSV1OvgJXHqaA1LfBGGOsVJ5kPQEAWEmsYC+rXgO7c0LHWGkUXnIFAKVaL9az3wGJt1UP6ySfhkhQYlnSZOAbPyD7mcZmxm0Jx+ur/sbJ2wkvO2LGGKvy1O+fEwTBzNGUL07oGCuNwhY6oOiya1ZyQUIHAG+uASSWEGUlor/HM7gJaQXld4+rVrv44BnO/psEADh1ixM6xhh7UU8yC1roPKw9zBxJ+eOEjrHSEKm10BUmdJd+AnLSAI+mQPPhQK02AIABtkUtdoi9oPpz45l7qr/leTxWHWOMvajC++dcrFzMHEn545kiGCsN9UuuiryC++gu/VTwuO07gEgE+HYCos8gID+qqO7DcADAs8xcHLvxRFX8KCW7PKJmjLFKKyMnHwf/icf5e8l4nJYNkSCgeS0HvNXaGz4uNgCA5McF51vnB+cBx1+AZkPMGXK54oSOsdIQhIJWOmVeQQtdfBSQeAuQWAFNBhXUqd0BAOCaGKFajR5fgZCfiwP/xCNPUdQRIjY5S/X38pDb2PzXffwyJRB+nnbl83wYY6yCSs7MxarQu9gdEYuMnHyNZWfuJGLdqXv4oPsr+MDyIJJv/g7Y2cI54TZw8wAndIwxI4hlRQnd/VMFZXW7ApbPe1bVaA4AEPKLkjVBmQ8k3sZfd3IAAH50RWsAACAASURBVOM6+mLL39F4kJyFrNx8WEnFWHn8DgBgwf5r2D6hfXk9G8YYq1AUSsJP5x7gm6O3kCYvSOTqutmgb9MaqO9ui+w8BQ7+E48zdxIRE7oRItlaJHu4AQAu5bfCb+iGgeZ8AuWMEzrGSkssBfIAKPOB+2cKyuoEFS23cgIcagOpMRqr0eN/cCHaFQDQr6knTly+i+hMCW49ToeLjYWqXlyK/GU/A8YYq5Bik7MwY/dlhEcXjAzQqIY9PuvTEJ1fcdXovTq8jTcOnzqDLie2AADuSV0BZOJQTmfYigKqVULHnSJKaeDAgXBycsKQIdWnOZcVU9jTNTcTiAkr+Ns3SLOOWwOt1Z7FXEdKphytpNFocWsZQhXBaCPcxL2ETFyITlbVi0/NhlLJ49MxxqqXfZceoe/KMwiPfgYbmRgL32iC/R90QpcGblpDkQhKBfrcmg1rIQdnqSkePm+nksEO73Wrb47wzYYTulL68MMPsW3bNnOHwcypsGPEk6tAbgZg4VDQw1Wdcz2t1dLjb+MD8W/4Vfw5xOdWQQQlPpbuxoOkTESoJXTyPCUep8mRmp3HvWAZY1VenkKJOb9fxbRdl5Gek49WPk44NLUzRnfwhVikZ0y5iE1A/GXA0gEOIzZBLMkEACwc0B7eztblGL35cUJXSt26dYOdHd+wXq0VJnSP/yn47d6woHerOhfthE6aGo3p0l81ytqJbmJkxBDEPn76vKSgZe7Kw1QELj6ON7//uywjZ4yxCiUhPQejNpzHtrAHAIAPe7yCXRPbo7aLgaQs/TEQuqjg7x5z4VvPGyQU3GvXt3H1ap0DqmhCd/r0aQwYMABeXl4QBAH79u3TqrN69WrUqVMHlpaWaNWqFc6cOWOGSFmlVnjJNf5KwW+3htp1HGtrFdnJ43RuzjM3Bk0SDsINKQiznIqPJbuwN/IhMnMVuPk4HfI8BV+CZYxVOVGxKXh91V+4EJ0MOwsJNo5pjRk9G0AiLiFFCZlbMPanV0ugVTCSswuucFhJrGAtrV6tc0AV7RSRmZkJf39/jBs3DoMHD9ZavmvXLkybNg2rV69Gx44dsW7dOvTp0wfXr19H7doFH8CtWrVCTk6O1rpHjx6Fl5eXSfHk5ORobCstLc3EZ8QqJJltwe8n1wp+O9fVrmNbNFp5OlnBTsiGnVL/+2+Tn4y3JQdRA4l4X/I7WseMVi0L3nIB9xMzcWRaZzhay/RugzHGKosDV+Ixffdl5OYrUc/NBuvHtEY9N9uSV4yPAq7sLPi739eASIwkecHMO86Wzi8x4oqrSiZ0ffr0QZ8+ffQuX7ZsGd5++21MmDABALBixQocOXIEa9asweLFiwEAFy9eLLN4Fi9ejPnz55fZ9lgFYVPQPR45qQW/HWpp17GrofozRXCAJeVCKui/H84JGbCQiguvuCIpQ47ChvRz9wq+ff5+OQ5jA33xLDMX9lZS/feWMMZYBUVEWH/6HhYfugkAeLWRO5YPC4CdpbSENZ87Ng8EIKxhT8Sm38Wr2b7IyMsAANjL7F9S1BVblbzkakhubi4uXryIXr16aZT36tULZ8+efSn7nDVrFlJTU1U/sbGxL2U/rJwVJnSF7GsarGMnZCMRDgY36Sykw1palKAtkGzVqnM/MRN/3UlEi4UhGLc13KSQGWPM3PIVSvx331VVMhcc6It1o1sbn8z9ewJ5/4biM3c3TMq5hUXnF2HY/mF4mlVwD7KlxPJlhV6hVbuELjExEQqFAh4emhP3enh44PHjx0Zvp3fv3hg6dCgOHjyIWrVqITxc/werhYUF7O3tNX5YFWDjqvnYXseleHFRI7gdpSOBDCd0jkiHvbToPrnRkmNadbaejcZ/Np0HAJy+nYA3Vv2FnHzuBcsYq/gyc/LxzrYIbD8fA0EA5vRvjHmvNzH+SoNSCRybi4WuzjhoYwWJSAIbqQ2eZD3B5qubARTcQ1cdVclLrsYoPpYNEWmVGXLkyJGyDolVNsVb6Io/LkYMJVLI8L0hncTXoMi8aVIYUQ9TceJmAno19oCIL78yxiqoJ2lyjN8ajmtxabCUirByeAv0buJp2kau7cVv6Xfxm5sLRBBhedfleCZ/hjln5+BBWkEP2eqa0FW7FjpXV1eIxWKt1rinT59qtdoxZpC12o23IgkgLfkkkomSLwWIYXpr287wGPgvOIpLMc9MXpcxxl6220/SMfD7v3EtLg2utjLsnNjB9GQuPxexJxfgSxcnAMD7Ld5HV++uaF9Dc4pETuiqCZlMhlatWiEkJESjPCQkBIGBgWaKilVK6gmchR1gRAtvlhEJnbpEskcT4T58hXiD9U7eSkC6PB8f7Y4CEQ9twhirOCKikzFkzVnEpcpR180Ge6d0RIC3o8nboYjNWCjNglwkQlv3Vni72dsAAE8bT40krrreQ1clL7lmZGTg7t27qsf379/H5cuX4ezsjNq1a2PGjBkYPXo0WrdujQ4dOmD9+vWIiYnB5MmTzRg1q3QkxRI6I2SSaScaVyENByy+QBpZo3nOxhLr30vMRNBXJ3DggyA4WBt5gzFjjL0kx64/wXs7IpGTr0QrHydsGtu6dMMuydOw/8I3CHOwgkwQY07H+RAJBW1SgiDAy8YL/6b+C6D6ttBVyYQuIiIC3bp1Uz2eMWMGAGDs2LHYunUrhg0bhqSkJCxYsADx8fFo2rQpDh48CB8fH3OFzCojqVpyZmFcRxedLXRSGyAv0+B69kIWRFDCErnoKroMX+EJAMIuRTckFes5+/BZNnZciMGUrtqzVDDGWHnZHRGLWXv/gUJJ6N7QHd+PbAkrmbhU20o58zWW2hZ8SZ3iPwU+9pqf1562npzQmTuAl6Fr164lXnZ699138e6775ZTRKxKKlULnYV2oaVDiQkdAGyWLkVXcZRG2TDxSXTJXaFVd8nhmxjfyRcWktKdPBljrLSICGtP3cOSwwUdvAa3rIX/DW4GaUkzP+iT/hirb+/AM1sr1LfywNhm47WqeFgX3QNfXRO6ancPHWNlRqOFzkBCp3Y/h84WuuLDn+hRPJkDAB/RU8iQp7P+qA3njdouY4yVFaWSsOjADVUyN6lLXXw9tHnpkzkA/x6fjd02BefOWUH/B6lI+3YSS3HRuZUTOsaYaYxtoZMUtcpp9HJt/x7w4WW9vWPTybiTUgNB90DVEQ+eITVLd7LHGGNlLU+hxEd7orDpr/sAgP/2a4RZfRqZNCRYcZRwB0sfn4RCENDDNQBta7TTWc9C7TzLCR1jzDQavVwN3EPX9xsAwP2Gk5Cl3inCowngXAcQdF8WTSLj7ssLFF1DfeGhzmUZuflGbYMxxl5EVm4+JvwQgd8uPYJEJGD5MH9MCNIxv7WJzhz7BH9bWUIC4KOgL/XW4xY6TugYKz31hM7awGTQzYcCH99FfOtPkAbronLZ878F3YdhBow7KX0u/RnHLD6FI9K1ln1z5BZuPk4DAPx++RGOXjN+NhTGGDPGs8xcjNxwHqduJ8BKKsaGsa0xsIWOua1NlBd7AUszCi7djq4zAN723nrrysRFPWc5oWOMmUZ9rCOZ4RkgYOsGeysZbinVTkiFLXMiHYehzA5Z0NGBwoCWojtaZXsvPcKUnyLxICkTU3dexsQfL0Kp5HHqGGNl41FKNoasPYvLsSlwtJZi+zvt0M3P/cU3TITdoZ8gWiaFsyDBO+1nGazOLXSc0DFWeuotdDKbEqs3qmGP1wJbFhXQ8xkhdLXQDd6geXnWCMHiIwC0k7X7iZkYs/mC6nFKdh4SM3JM2jZjjBV3+0k6Bq8+i38TMuHlYIlfJndAy9pOZbLtlJt/YrUiAQDwfrPJsJMZHklA/R666jqwMCd0jJWWSO3eN6m1/nrPiUUC5r7eFBjwLdBkEODXt2BB8YTOszng1weZJrbQdRb/g3fFv6seNxGi8ZnkZ9ghCw+SslTlA777C60XHcOdJ9qXaBljzBgXHyRj6NowPE6To767LX6ZEoj67sYN31QipRJrzs5HmliMBhI7DPKfUOIq3EJXRcehY6zcWZnwrbTV2IKfQuqdItpMADq8BwDINnGaMAD4VLobNYRk7Fd0wC6LhQCAHEiwPH+oqs6jlGwAwJTtkdj3XkfYWvBpgDFmvNCbT/Du9kjI85RoWdsRm4PblG72Bz1iIzditzgHgIBPOsyDWFTyeJoWYu7lyi10jL2IwA+AOl2ABr1Lvw31k1W/bwDngp5hxt5DF0eaHTJGS46pkjkAqCUkwgEZeFf8OxyQoSq/+zQDTecewe+XH5U+dsZYtfLbpYd4Z9tFyPOU6Obnhu0T2pdpMof8XHx7aRXyBQGdrLzQvm4vo1bjThGc0DH2YnotAsb+AYhfYN5UPcOWyI1ooeucsxwr8gcbrPOQ3PCNdA0+le7CWqn2rBJTd142Lk7GWLW25e/7mL4rCgolYVCLmlg/pnWpp/LS59rfX+GwjCAQYVrn/xm9noCise6qa0LH11oYMzcH3d37rW3tgWzDq+ZBgmxd04mpkSIfr4ovAQA6iK9D18QSSiVBJCr94J+MsaqLiLDi2B2sPF7Qk35cR1/M7te4zM8ZJE/H8ts7AJkY/R0bwc+zhdHrKkmp+lv9frrqhBM6xsyt2+dA5lOg+XCN4n4t6wN/a1eXW3nAMvsJAEAhSDVnn9DBCsV7tBIAzROxPF8BaxmfDhhjmpRKwvw/r+GHsAcAgBk9G+CD7vVfaPYHfcJOzsZ5mRhSAt7r9rVpcaIooTPmnruqiM/gjJmblSMwdKtWsZODnh5jVDQ0iUIkRbbScAtdHUFzMGF7ZCENmsOsZOcqEHL9CRLSc8pkdHfGWOWXp1Dikz1R2Hc5DoIALHi9CUZ38H0p+1JmPMXy2COATIIRHu1R08HHpPXr2Nd5KXFVJpzQMVZR6ZnjVVC7tOBoa4PsVMMJXVdxlMZjZyENaaSZ0KXL81X30vVu4glv55KHYWGMVV3ZuQq8tyMSoTefQiIS8M1b/ngjoOZL29/BkI9wUyaBLQHvdF1i8vp1HetidY/VcLN2ewnRVQ7cKYKxikrv4JhFCd23/2mLuiaO/eSCNK2yO0+Ler/m80wSjFVrqdl5GLP5PEJvPoWlVIQNY1q/1GQuN/EuViVHAADe9u0PRysDUykaEFQrCA2dG5ZlaJUKJ3SMVVRGtNA19nLCshFtteokkAO+yhumc/2Nsm9ghyyNshvxRUlevkJZfBXGWDWRkJ6DEevPITz6GewsJfjx7Xbo1rAMpvIyYPex6XgkkcAdYozqNOel7qsq44SOsYpKVwvdpDMa99AJIhHg0QTwH6kq269oD5e5D0BujXRu1knIwEbZ1/jb4gO8JiqYEky9hS6XEzrGqqXY5CwMXXsW1+PT4GprgV0TO6CNb+lay4yVHnsB67L+BQC822hMtR1ypCxwQsdYRVW8hc6lPlCjOYTCOWALCQIwcI1GkUgkYHKvZno33U50EzWFJKyVFYxLl5pdOJYJ4X70fZy6nYDFB28gNSsPaXId45wwxqqUO0/SMWTtWUQnZaGWkxV+mdwBjb3sX/p+t5z4FCliMeoIlnij9YcvfX9VGXeKYKyi0mqhKxgmQATjWtAEsfFzwWY8T9pmSXag/9EDmJI7FYeU7bDu9D1IRAKuzu8NS2n1HAqAsarucmwKgrdcQEpWHhp42GLb+HbwdHj5Y7kl3DqIHxUJgEiEqa2mQSLilORFcAsdYxVV8Ra65+M+iSm/hBULLsmKJMWm4xF0H+5DxKeQK5cDACZJDgAoSOwK5SsJD59l6VyXMVa5/XUnESM3nENKVh4CvB2xe1KHcknmQIQ1f8+DXCRCgMQB3RuPLHkdZhAndIxVVHpa6KDINWp1kaTYdGSWDjrrfS1dh+5ZhzTKaosSsFG6FDbPp6p4ddlpREQnG7VfxljlcOifeIzfGo6sXAWCXnHF9gntynZeVgPuX9qKvaKCL4rTA+e9lIGKqxtO6BirqPS00BlLVHx+WQOXYOvm3oIbnmmUvSq+hI8ke1SPP/3lCsKjk3Hon3iT4mCMVTw7L8TgvR2RyFUo0beZJzaObQ0bi3K65KnIx7eRK6AQBHS19ELLOq+Wz36rOE7oGKuoxC/2TVmrhc5dd69XALihqIlwy/e0ysdLDsMCRS2CQ9eGYcr2SMQk8SVYxiqrtaf+xWd7/4GSgBFtvfHdiJawkJTfPbJRYV/jmFQJERGmdv1fue23quOEjrGKSlp8tgZjW+ie32tX/B66OkF61xAb6Gjxo2wxAOBRSraqLD41W191xlgFRUT436Gb+N+hmwCAKV3r4cuBzSAWld/lTsrNwrKbPwEA3nBoiPoeLcpt31UdJ3SMVVRSS2DErqLHpl5ylUiKF+C8pe6k7lPpLp3lANBWdAs2yEZOflHSl5xZ0Gp35WEK2v7fMfx68SHyFEosPnQDZ+8mmhQnY+zlUygJs/b+g7WnCsZ8m9WnIWa+1rDc7107fXI2IqUCLIjwbvdvynXfVR0ndIxVZH6vmbyKjUXBpROh+CVbkQSkp6drSd4Sn8Qy6WrYPp9hIiEjBwAwbddlPE3PwUd7ovDD2WisO3UPIzeeL9U+GGMvR06+Ah/8HImd4bEQCcCSwc0wqUu9co9DkZmIFTEFHbBGuXeAp4NPucdQlXFCx1ilYdw36aCmz0/UomL30ImkJrfyFZor/RGDxH9hqmQvAOBpWkFCl68omrVi0YEbqr+Xh9wGEc8Jy5i5ZebkY8IPETj4z2PIxCKsHtUSw9rUNkssfx77GHelYtgTML7bV2aJoSrjhI6xiq7RgILfHUsYRf2N74FabSF5dXbBY3HxS65ikPBiNz6/IzmILyUbEJdS0FInEetOEFcev4NLsSkvtC/G2It5lpmLURvP48ydRFjLxNgc3AavNa1hlljkz+5jVWLBVIPv+PSDg5WTWeKoynhY5lJIT09H9+7dkZeXB4VCgQ8//BDvvPOOucNiVdWQrUDKA8Cl2CWS4sOQtPhPwU+h4i10YimoDO6XGSk5ge63ruPJfEKv3O5Yi9d11kvN4inDGDOXx6lyjN50HneeZsDRWoqt49oiwNvRbPH8HDIdTyRieJIYI4LmmS2OqowTulKwtrbGqVOnYG1tjaysLDRt2hSDBg2Ci4uLuUNjVZFYop3MAXoHCi5ar/glVwnKqlHeU/kEAPCZdCfWKnQndCKRgNx8JVafvIvuDd3RvJb5PkwYq07uJ2Zi9KbzePgsG572lvjx7bZ4xcPObPGkxkViQ8YdQCzC+43GwEJr0HRWFviSaymIxWJYWxcMKSGXy6FQKPh+IVZ+3voRcPQBRuw0XK/4vIil6BRxzWtoiXUk0D8V2frT/2LFsTt4fdXfJu2XMVY61+JSMXTtWTx8lo06rjbYM7mDWZM5ANgU+jHSxSLUFyzQv81Us8ZSlVXJhO706dMYMGAAvLy8IAgC9u3bp1Vn9erVqFOnDiwtLdGqVSucOXPGpH2kpKTA398ftWrVwqeffgpXV9eyCp8xwxq/Dky7AtRqZbhe8curIjHIxEP+Tu23SqzjJSTpLM/OVeDcPZ4ujLHyEh6djOHrzyExIxeNa9hj96QO8HYuPp5l+Xp89wi25z0FAExvOR1iUfkNYFzdVMmELjMzE/7+/li1apXO5bt27cK0adPwxRdf4NKlSwgKCkKfPn0QExOjqtOqVSs0bdpU6ycuLg4A4OjoiKioKNy/fx87duzAkydP9MaTk5ODtLQ0jR/Gyp9g0j10ShKQ7tCgxHqnLaZjtPgoLJCLhZLN6Cq6BACY/NNF/MVj0jFWLk7cfIrRm84jXZ6Ptr7O2DmpPdzs9E/3Vy6I8P1fc5ErEtBa7ICgJiPNG08VVyXvoevTpw/69Omjd/myZcvw9ttvY8KECQCAFStW4MiRI1izZg0WLy4YFf/ixYtG7cvDwwPNmzfH6dOnMXSo7stTixcvxvz58018FoyVNTKphS4PEsgkIqSTFewEwzNDLJRuBQCMlhzDaByDr3zHC8TJGDPF75cf4aPdUchXEro3dMf3I1vCSmb+lrA7UT/hD2QAEDA9cG65D2Jc3VTJFjpDcnNzcfHiRfTq1UujvFevXjh79qxR23jy5ImqlS0tLQ2nT5+Gn5+f3vqzZs1Camqq6ic2Nrb0T4Cx0iIy6R66PEECiUiEf8nLqPqFSd3znWn9nZmj/147xljpbAuLxrRdl5GvJLwZ4IV1o1tViGQOSiW+vbgMSkFAT4saaF63p7kjqvKqXUKXmJgIhUIBDw8PjXIPDw88fvzYqG08fPgQnTt3hr+/Pzp16oT3338fzZs311vfwsIC9vb2Gj+MlTtSmtRCRygYZ+6zvHdwXGHafIufS3YAINREAsIsPsAU8R9oMvcIRm86j8s8Ph1jL4yIsPLYHcz5/RqIgOBAXyx7KwBSccX4WL94bhlOSvIhJsIHPIhwuaiSl1yNUbzpl4iMbg5u1aoVLl++/DLCYuzlIaXGPXSKWm0hfnhBb3U7ZEMmFuEm1cbbeZ/gkPAZGoli9NZXN1FyAHsVQRgrPoIaQjJmSndijeJ1nLmTiAdJWTj9aTf8GRUHeZ4CQ1t7v/BTY6w6USoJC/Zfx9az0QCAaa++gqk9XqkwlzQpLwfLbvwASIDB9n6o4xFg7pCqhYqRypcjV1dXiMVirda4p0+farXaMValFGuhy39jHVDf8GUQidq3fSo29Vgy2RpcN0B0Fwodp5iY5CzkKZT44OdL+OSXK0hIzzEmesYYgDyFEh/viVIlc/MGNMa0VxtUmGQOAEJPzcYVCWBFhMk9lpk7nGqj2iV0MpkMrVq1QkhIiEZ5SEgIAgMDzRQVY+Wg2FiJgswWqNfd4CpSPVN7AcAVpeHJvZsL/yILugcQzc5TqP5Ok/OMEowZQ56nwJSfLmLvpUcQiwQsH+aP4I51zB2WhvzsZ1jx4AAAYLRbe7g5+Jg5ouqjSl5yzcjIwN27d1WP79+/j8uXL8PZ2Rm1a9fGjBkzMHr0aLRu3RodOnTA+vXrERMTg8mTJ5sxasZeMkvNezdFYjFASoOrGLofJ1/P98FsksFKyEU70U3EUdHsKQskWzAvfyyUEGHe79dU5XkKJSKik3H1USrGBvpWqJYGxiqKNHkeJvwQgQv3k2EhEWH1qJbo0ajiXVXad+xjREtEcFIC47ovNXc41UqVTOgiIiLQrVs31eMZM2YAAMaOHYutW7di2LBhSEpKwoIFCxAfH4+mTZvi4MGD8PHhbxKsCvPrCxz9Q/VQJBIBNvoHxA537AOxSHdy1S/nS3wo2atz2Q2qjZbCXdQTxaMe4lXlYyQhCFUG4KSyBfZeeqQqT87MxcgN5wEAtV2s0b1hxfuQYsycEjNyMHbzBVyLS4OdhQQbx7ZGu7oVb6rJrJQYrE44B4hFmOTTF7ZWTuYOqVqpkpdcu3btCiLS+tm6dauqzrvvvovo6Gjk5OTg4sWL6Ny5s/kCZuwluWRb8H8dPfwEUGyEdkEkApoO0buurPmb0NdWdo189bbQxZErHpLuRLGt6JZWWWEyBwB3nmTojYex6ujhsyy8tTYM1+LS4Gorw88T21fIZA4AtodMR4JYhJokwtDOC8wdTrVTJRM6xliBgBm/I336ffg2bAkAENTGhxMEMSCWINxR9yDcgiAxePlTqeP0kUrWWJY/BOeUjXWu867kD7QUbuvdJs+IzFiRu0/TMXRtGO4lZqKmoxX2TA5E05oO5g5Lp2fxl7E54yYA4INGYyCTmHmWimqIEzrGqjBBJIKdg3PRY/WFz1vsivdeVdUVS7Wmg1WXD+3BSwNy1uMeeSGdrPSu94NsCQDCYskGfCv9DuppnJI4pWMMAKJiUzB0bRjiU+Wo726LX6Z0QB1XG3OHpdeG0I+RIRKhESzQp+10c4dTLXFCx1h1VThrhJ7JskViid5LrgCg0JHQFQ6Lkmfg9lw7IRtRFu9ghOQEXheHobbwVLVMnlfUSSNNnofVJ+8iNjnLQBSMVT1n7yZi5IZzeJaVB/9aDtg9qQNqOOj/kmRuj/49ip15BUOBTWs1AyITZqRhZYdfdcaqEY0Wt+cnXfXpwNTHjRPEYoMtdLouueraji4OQlGS9qHkNwSJrgAA0rKLhjCZs+8qvjp8C0PXhhncFmNVyeGrjxG8JRyZuQp0rO+C7e+0h7ONzNxhGbTqr7nIEwS0FzsgsOlIc4dTbXFCx1h1pUrkirK2bFHRYMEisQQOVgY+SIple0cUrVV/67ocq88Q8Wn8KPsf7lr8B6883q8qP36joOXucZocRIQzdxLwJE1u9HYZq2x2h8fi3e0XkatQ4rUmntgc3Aa2FhV7MIqbUdtwgNIBANM6zjdzNNUbJ3SMVSMad6gVJnRqLXRysXpCJ0V9d1u84q57Rgg/j6LyBXmj8UneJNXj4i10Cip5bDmJoMSouC+R/LRgSBP1wYfDo59h9KYLCPrqRInbYawy2nD6Hj799QqUBAxr7Y1VI1vAQmL8FyOzUCqx4uJykCCgj4UXmtTpYe6IqjVO6Birrp63sJFQ9KEhFxfddC0SF5RPCNIeiX7HhHZo5mWnerxd0QNpKFo3jzRbFbJhfI+36I1jAAD5yqL08/8O3gAA5OYr8Swz1+htMVbRERG+OnxT9T8+qXNd/G9wM41p9yqq8+e+wd/ifEiI8EG3r80dTrVX8f9jGGNlRmc7mVoLXW6xFjoAUOroeBpY31Xj5FG8E0TxFjo5jL8HqGVuBG4vbIVaQoKqLCo2RfX3jfg0o7fFWEWmUBK+2HcVq0/+CwCY+VpDzOrbqFLMlqLMk2PZjW0AgLccGsHbo5mZI2Kc0DFW3akldDmSooROLC5I0vQPJaI23EixU0nxe+hKSuiekKPG4waKu/jLYipeE13QqpuSzXO/ssovN1+JD3dewo7zMRAE4MuBzTClq+H5kSuSoyf/i+sSwFpJmNhjmbnD4Od1bwAAIABJREFUYeCEjrFqpcQWOrWETnh+yVV/Pqd/zLg2dd00HmeT4Uuu6VLdM0usla1AC+GORlkqJ3SsksvKzcfbP4TjwJV4SMUCVo1oiZHtaps7LKPlZSXj25hDAIBgj0C42HubOSIGcELHWLWnfg9dnqTovjixpOCSKz1P3LTTN/0JnVLQbKGzttHdsaKQp7Oj3mW/WcwFALQQ7sAR6UjNzkNmTj5y85V612GsokrJysV/Np7HmTuJsJKKsWlsG/RrXsPcYZnkl2MzECsRwUUJjO2+1NzhsOc4oWOsGtF5a45aYb5UvVNEwSXXLg3cAUD7Jm3Sn1ApBc176mq6GZ57UiQS8N+8cXqXdxL9g98s5uKgxSw8epaNDouPY+jas7j4IBm3Hqcb3DZjFcWTNDmGrTuHyJgUOFhJsf2ddujcwK3kFSuQzOT7WJsYDgCYUud1WFtWzKnIqiNO6Bir7tRHdRcXXRotTOhqu1jj/Oc9tIcvMXDJlYq10KGEeR1FIINj1/UVnQMAeAnJ+PHcA6TJ8xH1MBWD14Sh94rTeJSSbXD7jJnbg6RMDFl7FreepMPdzgK7J3VAy9pO5g7LZNuOTUOyWITaJMagoLnmDoep4YSOsepOfeovadH0QoWXXAHAw94SIq3WPeMvuZaY0AmGByMWq+3rffFvWssfJGYiN1+Jub9fRejNJwb3xVh5uxGfhiFrwxCbnA0fF2v8OiUQfp52Ja9YwSQ+isDWzLsAgA+bjINUXLFnsKhuOKFjrBopqVME1E7QYrFUR2U1Jlxy1bNnFREIeaQ/obMRilrgPpbu0Vqekp2HneEx+CHsAcZvjTC4L8bKU0R0MoatC0NCeg4aetphz+QO8Ha2NndYpbLuxKfIEonQDJbo1fpDc4fDiuGEjrFqRPc9dGrzt6q11hVectVLLaGzs9SsqxQVX1d/ax4AiARCPvTvz1ttTDoAEKCZTCZl5OD07UTV47tP0/HJnijEJGWBMXM5eesp/rPpPNLk+Wjt44RdkzrA3c7S3GGVSsztg/glv2A6vultPqkUY+VVN5zQMVbdqZ+Y1RIxsaSkhK4oSdv/QSdM7fFK0aLil0/tDPfiEwQB+QZOR/WFRxqPawtPNR7P/v0ajt0outQ6fP157Ln4EO9s49Y6Zh5/RMVhwg8RkOcp0dXPDT++3Q4OViW0eldURPju7HzkCwI6SZzQpvFb5o6I6cAJHWPVnVoLnXqrnERS0odPUULn42KjkdBp30NnCXx8F+g+W3cIZLhThI2Qo/G4lXDbYGSJGQX1bz3hHrCs/P147gGm7ryEfCXhdX8vrB/dGlayCj4vqwHXLm/BYSELAhGmdVpk7nCYHpzQMVbdqd8Lp9ZCV/IlV83LqOoNfVoJHQDYugF2njr3BVJiUreGxkQLABgpCYUIxo1DRwZ64zJWlogIq0LvYPa+qyACRrf3wYphAZBJKu9HLSkUWH7pWwDAACtv+Pl0NnNETJ+X+l8mFlfebySMVRvKosRIMKmFTpP6PTVaw5YUtuap94p743uN5W3ruRu9r9ai2/hQsler3F+4CydozvUa+L9QfHX4Jo5ce4yMnHyj98GYKZRKwqIDN/D10YLW4w+718eCN5pApN09vFI5e3YJzosVkBLhve7fmDscZkAJX8FfDH8zZqwSIIXqT/WETlTSFzIDvVy1el+QjoROvRctESAyLYGcJtmLGKU7GopisTh/BNoIt7DbYiEekis65XyrqhefKldNfv5qI3dsHNvGpP0wVpJ8hRIzf/0Hv0Y+BADM7t8Yb3eqY+aoXpwyLxvLb/8MSIARjk3h5dbY3CExA15qCx33gmGsYhF09TZVqiV0IgNJXPFVmwwq+O3ka3wA6uPRaSRwpJng6dNyjMbDZbK1mCg5gMbCA/QVnwcA1BISda0JADh246neZYyVhjxPgSnbI/Fr5EOIRQK+GepfJZI5ADgQOgu3JICdkvBOj+XmDoeVwOgWum7duhlM0IgIgiAgODgYY8aM0VuPMWY+gq7x4NRa6EzSbAjgUBNw1/7Wrr2X59mgrGhqMc0WOmjcU5fR51vYHtIxzpWVs85Q7IRsSFHK58FYKaXL8/DOtgicu5eM/2fvvMOaOrsA/rtJ2CAIAqKiCIKzooJ74KyKddRRR1vFjbNqHbVa66i11oqjtmor4mgdraNfW61KXbRuaXGBC0W0ojhBZoDc749IIBIgIBiB+3uePOS+8+RCwsk55z3HWCHjm0GN6FTH0dBiFQnKxAes+i8Y5DKGObXBJp+T6hKGR2+F7vDhw8Uph4SEhIEQslno8irnlXOiANVa6OwSc3O5VmqU1ZYSl32AlkJnWcFZ955mukslmZKKIptCZ0oqKeRdnUJC4mV4lJCKX9AZLvwXh6WJgu8He9PcLe+axSWJ7cFTuCuX4aCCd9stNrQ4EnpQco/eSEhIFBxdRvZssXBiXnFxDQapfzp5FmKb5wqdiSV4DwNzO6juoy1DdoudwgydmOu20JmhxFLISiJcW4jGX/4rti8ckMhk7dFIxvwQSnqGfidlJSSyc/dpMv3WnuDCf3HYWhizdWSzUqXMPXt0ne8e/wPAWLfemJmUvDJlZZECHYo4deoUW7du5dixY8TExGBmZkadOnXo2rUrAwcOxNraurjklJCQKC6yuVxledVcbToaKtYDpwb5Lpmz7Gs2y99by8B3Kchk2v3ZY+qMcsmmn91lmw0zUnEQnmqud5uoi4Z7y64wMu1D9RbPv7+mZ6hY9MdlAI5ceUDHUuIik3g1XI9NYHDgKe7GpVDJ2pTNI5riZm9paLGKlKA/J/FULqO6KKdny9mGFkdCT/S20Pn6+hIUFMSbb77Jr7/+SlRUFGFhYcyfPx+lUknfvn355ZdfilNWCQmJl0Rn5a9sVrl6bftxybg+J5zeyzlQJofqbcC0XCF2fsGVK3vxo0eE7HnvjMyh9zoSrD1emKf74ESA8Roay3ImG24vCyPQ6CvOmoyhyvPyYTVm/aHpH7HpLJ/8cpH+a09w8sYjvV+NRNnkwp043ll7grtxKbjZW7BjTItSp8zF3j7J5qSbAEx6YzQKfQ4rSbwW6G2h27JlCzY2NqxduxZfX1/1ZIUCT09PPD09mThxIk+fPs1nldKDQqGgXr16AHh7e7Nu3ToDSyQhUUiyKXRGxibU/fivl14y2aiA1voXLXQKU6jfj6hn5tQLVrt6VWZ2yLKnPdEDmSDSXh4GwHD5XualD8kxZvPJWwAM+O4kUV90K5jcEmWGE5GPGLnpLAmp6dSvYk2QX2PsLEtfnObqozNIkcloIJjTrpG/ocWRKAB6W+hsbGwAOHHiBBMmTED1PBnplStXeP/997XGlAVsbGwICwsjLCxMUuYkSgwOPiMBCDd+I6tRVfTJdmMtaoLPR1kN+R620D4UgdHzGDpFlus1ye9PbSteAXEW8k9ZEpecVuj1JUovBy7dY0jQaRJS02nuaseWkc1KpTJ34/Kv7E5XW6onN/lISj1WwijwoYgNGzZQvXp1fH19GTBgAIMGDaJbN+lbrYREScC1XlMejw2n5vQjmjahsGlL8kBAgHYzs7XkotC1nqr+2eUL7fQpz5U7WbZqFXITK+3ExAWklux27nI853KM7kMUEmWXHaF3GPPjPyjTVXSq40jQ0MZYmhRrTn7DIIqsPLmADEGgrcKORrXeNrREEgWkwArdP//8w7Fjx7h//z6nT59m165dDBgwoDhkKzQhISF0796dSpUqIQiCzti+b7/9lurVq2NqaoqXlxd//VUwN1N8fDxeXl60atWKo0ePFpXoEhLFjq1DZeSK7HVUi76ii95f7Dt8AjP/gxod1CdfMzEp93ydrIUUJqb5VpM4q/LIta+K8JBpiu062h9gifqEbOyzVD0FlygLrPvrBlN/PkeGSqSvVxVWv9sIU6PSWdIy7J/vOCikIBNFJrVZaGhxJApBgRW6sWPHMnz4cP7991+2bdtGz549OXbsWHHIVmgSExPx9PRk1apVOvu3b9/OpEmTmDVrFv/++y+tW7ema9euREdHa8Z4eXlRr169HI+7d+8CEBUVRWhoKGvWrGHw4MHEx0vf7CVKJsVhoctBXkqjyfOgcoUJTIuE6Tc1rtXsNc0Vxmb5Wui+T/fNs3+c4lfkz2trTldsI8hoMX+bfECwyQwAJmz9l3+in+TzYiRKO6Io8tX+K3y2JwKAEa2q82Wf+ijkpTPTl5iRzrJz3wLQy8IFN+eWBpZIojAU2G588uRJzfMmTZqwZ88e+vXrx/Hjx4tUsJeha9eudO3aNdf+gIAAhg8fzogRIwBYvnw5+/fvZ/Xq1SxatAiA0NDQPPeoVKkSAPXq1aNOnTpcvXoVb29vnWNTU1NJTc365i8pfxKvE8Xjcn0RPa2AFhW0Lp3csmL9BLki3xi6K2IuCYmzYWmiYJHROnyV+7P2ER5hgpJUjPn57B0aVdWdwFii9KNSicz59SI/nFR/wZ/WuSZj27qV6niykGML+UeuwkQUGdN+qaHFkSgkLx0IULlyZQ4dOqSzTxRF2rdvj5iPS+dVlgxTKpWEhoby0UcfabW/+eabeiulT548wdzcHBMTE+7cuUN4eDiurq65jl+0aBHz5s17KbklJIqLdId6EP9n8W7iWK9Q0yytbHg8NhyFsSnlIF8LXbSYf045lShqKXOZ/Gj8OX2Vc3mWkoZKJSKTld5/4BK6Uaar+PDnc/x27i6CAAt61uO9ZtUMLVaxkpGayPJrP4NC4N3ynlS0q2lokSQKid4KXefOnenXrx89evTAwcFB065SqQgLC+OHH36gcePGDBmSlRZAEIRclT1D8fDhQzIyMnB01P7gd3R05N69e3qtERERwejRo5HJZAiCwIoVK7C11Z3BHmDmzJlMmTJFcx0fH4+zc/6WBAmJV0GjfjM5sV2FvWcXahTVopnWjFFH4MZRdXWIQmLrUDnrIo8YuuXpvVHpE0UiojMhn/fzPHa/n4/hr2sP+XFEUypam6JMV1HJJpfKFRKlhmRlBv4/hHL06gMUMoFl/RvQ3bOSocUqdn49NIPrCoFyKpHhHZcZWhyJl0BvhW737t0EBgbSs2dP7t27h42NDampqSQnJ+Pj48OYMWNo2rSpzrmnTp1i27ZtmgoTpqamBq8w8aL5XBRFvU3qLVq04MKFC3rvZWJigolJ6TviLlE6MDYxpfngBcWzeKWG6kdRkUeS0+sqteI3XDWLBZWOU+me7vrTcvJP0xKXnMay4KscvKxOdbJzTAu8qklu2NJKXFIawzaeIfTWE8yM5Kx+rxFtazrkP7GEk/LsPt/EHAa5jFGV21POovS/5tKM3grd119/zYwZM5gwYQJpaWk8fPgQU1NTypfP/UNOFEW6deuGs7Mz3bt3Z/r06djb25Oamsr169c5evQoffv2Zdy4cfTq1atIXlB+VKhQAblcnsMaFxsbm8NqJyEh8ZqRh0KnfP5xpqrelkptvGGzboXOQ4zSaaFLNqkAKVnXQloimea8PquPc+NzX8kNWwqJjU9h8PrTXL73jHKmCoKGNsarWu4el9LE1j8ncV8uo6JKYEC7LwwtjsRLoveRnR9++AGAtm3bYmRkhJOTU57KXCZbtmxhzZo1dOvWDScnJxQKBRYWFprqEsHBwbRt27bQL6CgGBsb4+XlRXBwsFZ7cHAwLVq0eGVySEiUZopN7cnD5apE3SdCnrF2P8k+1tmuyFBrc4PkBxkr/4V1//VkvmKDpv9ZatEnYJYwLNGPkui75gSX7z3D3sqE7aOblxllLu7BZb5/eh6A8e7vYGJkbmCJJF4WvRU6b29vfH19uXHjBv/73/+IjIzMd44gCBp36tq1a3MdV9QVJhISEjRVHABu3rxJWFiYJi3JlClTWLduHevXryciIoLJkycTHR2Nv79U5kRCoiho6lpM/xRluecASyWbsicveIiDPCOFmkI0nxsFMt3oJwAGK7K++MUlqatIrDkayYo/rxV4fYnXi8v34um75jjRj5OoamvODv/m1HYqTJ3ikkngwck8k8lwF414q/lH+U+QeO3RW6ELCgpi0aJFqFQqjh49ir+/P66urjRp0oShQ4fmOz+vkmFFzdmzZ2nYsCENG6pjd6ZMmULDhg2ZM2cOAP3792f58uXMnz+fBg0aEBISwt69e6lWrXSfZpKQKG6Of9SeLSOa0sKtQv6DC4Mid0UtTVQre6JIjszGN+075Drvn2rDAZCJ6TgJj3Id9zRZSZIynS/+uMyyP6/yQEpCXGIJvfWEd9acIPZZKjUdrdjh35xqdhaGFuuVce/W3/yYchuASZ5jkb9EST2J14cC/RYjIyPZt2+fpig9qE+N6nNAYMOGDQQEBODr64uNjQ3Xrl1j2rRpBZdYD9q2bZtvqpSxY8cyduzYYtlfQqKsUsnGrHhPhBpbQO91IKpg9yitrkyXq2cVaxDjtPqq9/0MVh/UuWSj97+AzwIBMCX3Wq49Vh2jv3fW6fTbT5K4fC+eVjUqlOocZaWNkKsPGL05lOS0DBpVtSHIrwnW5nlXICltfBPyMUpBwFuwoHWD4YYWR6KIKJBCN2TIEOzt7enTpw8jR47Ew8ODChUq0K5du3znZi8ZdvXqVQ4fPixZxCQkJApO/X7qny8odGkomN6lJsNaVoeYM9pzylWC8tXhyc2c6ymM1bVjVemYosxz6+1nb2ue9/5Wnbdyef8GmBvLcShnSv3K1tLBideY38/fZfL2MNIyRNp42LPmvUaYG5ct69S18J38mvEYBIEpzT+RvoyUIgpUx6RKlSqcO3cOd3d3Bg8ejI+PDz/88INWFYTcKAklwyQkJEouAiJj29ZQ19p0rKvdaWQGY0/qngjwPCDcXnia5x51hSg6yLSryEzaHsaozaH0+uYYey/GFEp2ieJny6loJmz9l7QMkbfqO7FusHeZU+YQRVacWoRKEOhkZM8b7t0MLZFEEVIghU4QBKysrBg1ahQnT57k22+/5cCBAzg5OeU79+TJk/j6qussZpYMKy6Xq4SERBmgTyB4dNFcylBl9ZlYsVL1Tta1zAiMTHNfK1Vdjm+W0Rad3QrSmaX4gT0mHxNovBQ34T+d4wL/volKpWeZM4lXgiiKfHvkOh/vvoAowqCmVVkxoCHGitJZlzUvzp75hqOyVOSiyEQfKU1JaaPQf9EHDhxg3rx5nD17tlCKWV4lwyQkJCTy5Y2+MGi75jJGtNPqHtQmW7kx2fOPuqH7CrXVu/KDjFTs1VxXFh7qHPdv9FO2nI4u1B4SRY8oiiz64zJf7rsCwLh2bizsVQ95GXSLi+lpLLv4PQB9LN1wqdzEwBJJFDUFUugSExOZO3cu7u7uBAUFMXr0aMLDw5k5c6bO8aIo0qVLF9atW0dsbKxWX2bJsPHjx7Nx48bCvwIJCYkyzXyXjfRIXUD9mtqFyypY6jgRW6051O6Rs93LL9f1rRTp1HjBIpco5m7t2/XPnTzllXg1pGeomLHzPN+F3ABgdrfaTOtcq8zGjB38az7n5SrMVCJj2gcYWhyJYqBAAQQ2NjbY2Nhw8uRJ7Ozs8p8A+Pj4kJycTK9evYiJiSlQyTAJCQmJ/Phw4Fv8GXGf9rVeLFuUi+uzTyCcWg3Bc6DZOHVbtwAI3aBzeLDRh1QUH2i1NZVdJjRDdxFzZYZKZ7vEqyMlLYMPtv3L/kv3kQnwRZ/6vONddutnp6c+Y8WN3aAQGFzBiwq2boYWSaIYKJBCd+7cuQJvsHXrVs6fP8+OHTu4evWqXiXDJCQkJPTFwkRBzwaV9Z+gMIaWH0D9AWD5XAmUyVG+vQ7j3SNyDH9RmQOYbrSdHzI6EI9ljr7UNBXhd+Nxd7TESF724rQMTUJqOqM2neV45COM5TK+HtSQznUrGlosg7L74DSiFALlVeDXUbLOlVaK/dPGy8sLX19fbt68yR9//EFSUpKkzElISBQ/eZT/AsDKUSsBsXG9gtWTrig80Tx/V/4ne4xnUkuI5lpsAr4r/2LazwX/AizxcjxOVPLu9yc5HvkIC2M5G4Y2LvPKXFL8f6y+9xcAo53fxNJMP++aRMmj0Ardi8XtdSEIglaFiSNHjhS4woSEhIREofAcCJUaQeup+o2XFSyFRXvZv8xQbGWg/CALjdZTV3aLgfKs5MW/hN0t0HoSL0dMXDLvrD3BuTtxlDc3YsvIZrSoUUwVS0oQPwRP4oFcRmWVwDs+Cw0tjkQxUugkPG+++Sbnz5/Xa6ynpyfBwcHUrl1b06ZvhQkJCQmJQmFsDqMO6z++gMHyHxlty9GmQIqfMwQ3HiTwfuBp/nuajJO1KZuHN6GGg5WhxTI4T+5fZH18OMhkTKz5LkZ5pe6RKPEUWqHLr7RWdnbt2kWPHtony/StMFGWycjIIC0t91JEEhISaoyMjJDL5YYWg3cVB1mW3peHWBtalDLDxf/iGLL+NI8SlbhWsGDziKZULs7ycyWI7w59SKJMRm3RmC7N9LRUS5RYCq3QFeTod/aSYSNGjKBmTd2nwyTUiKLIvXv3ePo076z1EhISWdjY2FCxYkWDp6WYqtjOR+lZZcl2hN7h6NUHjG9Xg5oVJatRUXLqxiNGbDzLs9R06lUux4ahTXSnqymD3Ll5mG2p/4EgMKnhRGQyw3/hkSheXkndkypVqnD69Gm2bdvGkCFDMDExYeTIkfTr1w8TE+nN9yKZypyDgwPm5uYG/wclIfE6I4oiSUlJmlyX+lSuKU4GKI4QIVZjY0ZnAD7bE87TpDSiHiby24RWABy+HEt4TDxj27pJ7+9C8mf4fcZt+YfUdBVNq9uybog3VqZGhhbrtWHVX5+QLgg0l1nRwnOIocWReAW8skJ2VlZWjBw5kpEjR3Lp0iUWL17MxIkTefz48asSoUSQkZGhUeb0zfUnIVHWMTNTu9hiY2NxcHAwuPt1ntFGjUL3NEkdNnHrUSIAX+2/wqrD1wFo4GxDSylwv8Ds/vcOU38+T4ZKpGNtB1YNaqSu4SsBQMSFrewR4wCY1OJTA0sj8aootEJnbJxPSoBcOHDgAOvWrePixYtSLVcdZMbMmZubG1gSCYmSReZ7Ji0tzSAKXYpohKmQFfO61egzroeVoyKPWGz0PdtEX248aKlR5gDux6e8cjlLOkHHbjLvt3AAejeszOK+9aV8f9kRRVac/Qpk0NXYkTpunQ0tkcQrotAK3dmzZ/Uem5SUxNy5c/nxxx/x9vZm9OjRdOjQobBblwkkN4yERMEw9HvmSu8DeO7OOujVXB4Ov7zFAiMvfOTn8eE81QPqa81JTssA4Nr9Z4THxNPDs5LBX8friiiKLPvzGisPXgNgaEsXPulWB1kZrMuaFydPLeeYTIlCFJnQbomhxZF4hbwSl6u1tXWBS4ZJSEhIlCgsdH+2dZKHap6/mBzg2v0Efj9/l/Fb/gXA3FhBpzqOxSZiSUWlEpn32yU2nrgFwJROHkxoX0NSfl9Ala5kWXgQyKG/lQfOFRsaWiSJV8grUej0zVcnISEh8drQ1B9OrclzSJpgjJGoBEBuql+qElNSUWKEChkbjkex4XiUpu+f6CeSQvcCaRkqpv18jl/C7iIIML9HXd5v7mJosV5LDoTMIVwuYqESGdVhmaHFkXjFFGvggSiKtG/fPs9Hu3btaN++PZs2bSpOUSReAaIoMmrUKGxtbREEARsbGyZNmqT3/KioKARBICwsrBilzMmRI0cQBEGTJmbDhg3Y2Nhojfnuu+9wdnZGJpOxfPnyXNskSgnGVtBxbta1XPdp/ASjLKucsR5B+RV5xFmTMRw1now9T3L0p2dIiYmzk6zMYPTmUH4Ju4tCJrC8fwNJmcuFtOQ4Vkb9DoCffVNsbaoZWCKJV02xWugEQeDQoUPFuYXEa8S+ffvYsGEDR44cwdXVFZlMpjl9qA/Ozs7ExMRQoYL61N+RI0do164dT548yaFgFSf9+/fH19dXcx0fH8/48eMJCAigT58+WFtb62yTKEWIKjAy075+gQh5TW46dsP3dgB/ZdSjih6B+Z6yG1gKKVgKKWww/pIl6f05omqg6U/L0D9he2knLjmNERvPcCbqCaZGMla/60W7Wg6GFuu1ZcfBD7ktF7BTweAOXxlaHAkD8MrSlkiUfiIjI3FycqJFixaFmi+Xy6lY0fCFtM3MzLQU0ejoaNLS0ujWrZsmx9nFixdztBWGtLQ0jIyk3FmvHWKG9rUqXesyrcsSPLyHsWvfZTZct+CiWJ0DcgHGnea/8OMM3pfGQZOcp/g/UmzRPK8ru8UG4y9pnvI1MagtfRuORzG0pQuHLseSkJLOmLZuKMrgCc4Hz1IZvP40ETHxWJkqWO/XmMYutoYW67UlMe4Oa2JPgFzG2Gq+mJuVN7RIEgagUJ8Ujx8/5vvvvycqKqqIxZHQhSiKJCnTX/mjIOXd/Pz8mDBhAtHR0QiCgIuLC23bttVyubq4uPD5558zbNgwrKysqFq1Kt99952mP7vLNSoqSlMarnz58giCgJ+fn+Z+fPnll7i6umJmZoanpyc7duzQW9a9e/fi4eGBmZkZ7dq1y/F3nN3lumHDBt544w0AXF1dEQRBZ1vmGr/99hteXl6Ympri6urKvHnzSE/PUgYEQWDNmjX07NkTCwsLPvvsMwDCw8Px9fXF0tISR0dH3n//fR4+fKiZ17ZtWyZOnMj06dOxtbWlYsWKzJ07V0vup0+fMmrUKBwdHTE1NaVevXr8/vvvmv7jx4/Tpk0bzMzMcHZ2ZuLEiSQmJmr6v/32W9zd3TE1NcXR0ZG+ffvqfU9LHTksclnvhZP2/TBqNgq5QkGGKOO0WJskTClnZgT2NUmu3ZdIsRLxYk7rdHXZ/RxtrrK7Wtc+S44w77dwlgZfpcasP/jr2oMieUklhduPk+i35jgRMfFUsDRh+6jmkjKXDxuDP+CxXEY1lYy328w3tDgSBqJQFrp77HNsAAAgAElEQVT333+fffv24erqyrVr14paJokXSE7LoM6c/a983/D5nTE31u9PZMWKFbi5ufHdd99x5swZ5HI5/fr1yzFu6dKlLFiwgI8//pgdO3YwZswY2rRpQ61atbTGOTs7s3PnTvr06cOVK1coV66cxmo2e/Zsdu3axerVq3F3dyckJIT33nsPe3t7fHx88pTz9u3b9O7dG39/f8aMGcPZs2f58MMPcx3fv39/nJ2d6dixI6dPn8bZ2RkrK6scbfb29uzfv5/33nuPlStX0rp1ayIjIxk1Sl0C6tNPs5J7fvrppyxatIhly5Yhl8uJiYnBx8eHkSNHEhAQQHJyMjNmzOCdd97RClnYuHEjU6ZM4dSpU5w4cQI/Pz9atmxJp06dUKlUdO3alWfPnvHDDz/g5uZGeHi4Jh/bhQsX6Ny5MwsWLCAwMJAHDx4wfvx4xo8fT1BQEGfPnmXixIls3ryZFi1a8PjxY/766698fuulGFVG7l2yLItqclqWsm75/L2izokmMCttOF8br8p3K2sSmSDfRVf5GQYoZxOPhVb/+4GnifqiWwFfQMnk2v1nvBd4ivvxqVQpb8YPw5viUsEi/4llmIcxYWx4dhlkMibWHoyRQqq+VFYplEJnamqKKIqSq0hCg7W1NVZWVvm6TX19fRk7diwAM2bMYNmyZRw5ciSHQieXy7G1VX8rd3Bw0FjMEhMTCQgI4NChQzRv3hxQW8n+/vtv1q5dm69Ct3r1alxdXVm2bBmCIFCzZk0uXLjA4sWLdY43MzPTpNqxt7fXvDZdbQsXLuSjjz5iyJAhGrkWLFjA9OnTtRS6QYMGMWzYMM31nDlzaNSoEZ9//rmmbf369Tg7O3P16lU8PDwAqF+/vmYdd3d3Vq1axcGDB+nUqRN//vknp0+fJiIiQjPe1dVVs96SJUsYNGiQxmLq7u7OypUr8fHxYfXq1URHR2NhYcFbb72FlZUV1apVo2HDMpjyoO7bcGk3NB+Xx6CsVBlJyizFLzMfWqaL9Bn6xY9aC4l8aKS2MA9X/MGy9LJpGQ27/RS/oNM8TUrDw9GSTcOaUtHa1NBivfasPTyNZJmMNzChU5PJhhZHwoAUSqHbtGkT+/fvp2XLlkUtj4QOzIzkhM9/9dm+zYqhlE79+lmJVQVBoGLFipoanPoQHh5OSkoKnTp10mpXKpV6KSARERE0a9ZMK39VpmL4soSGhnLmzBkWLlyoacvIyCAlJYWkpCRNJQNvb+8c8w4fPoylpWWONSMjI7UUuuw4OTlp7l1YWBhVqlTRjNUl2/Xr1/nxxx81baIoolKpuHnzJp06daJatWq4urrSpUsXunTpwttvv132Kpb0WgPew6Fqs1yHCDLdCl0mRnJ1f4IOl6suyvNM5/PsjNh4lnqVyzGpo+7fb0nn72sPGbX5LEnKDBo427BhaGNszAtXjagscSvyADuUMSAITPaagiAre/GWElkUSqGzsLCgd+/eRS2LRC4IgqC36/N150WrriAIqFT6p2rIHLtnzx4qV66s1Wdikr+roSBxgQVFpVIxb948ne8NU9MsS4OFhbYLSaVS0b17d51WwuwHLvK6d/mdJlapVIwePZqJEyfm6KtatSrGxsb8888/HDlyhAMHDjBnzhzmzp3LmTNnXukJY4NjZArVW+czKLtCl56j1+j5P9VkdP89iqbWCEbm8CwGADshS4mzEJJ1zvkz4j5/RtxnYnv3UlcZ4Y8LMXywLQxlhorW7hVY854XFial4/OuuPn62FzSBYHWMmsa1xtkaHEkDIz0rpF4bcmsF5yRkWUFqVOnDiYmJkRHR+frXtVFnTp1+OWXX7TaTp48+XKCPqdRo0ZcuXKFGjVqFHjezp07cXFxQaEo3Fuyfv363LlzR8tF++Iely5dylM2hUJBx44d6dixI59++ik2NjYcOnRI+vL2IkKWFUSnhU6h7k8nFwu3nTskZFmlrUjSPLck79qu9+JTqGSjfyqg153tZ6KZuesCKhF836jIsv4NMFG8+jq8JZGL5zezX3yGIIp80GqeocWReA2Q7LMSry3VqlVDEAR+//13Hjx4QEJCAlZWVkydOpXJkyezceNGIiMj+ffff/nmm2/YuHFjvmv6+/sTGRnJlClTuHLlClu2bGHDhg1FIu+cOXPYtGkTc+fO5dKlS0RERLB9+3Zmz56d57xx48bx+PFjBg4cyOnTp7lx4wYHDhxg2LBhWspsXvj4+NCmTRv69OlDcHAwN2/e5I8//mDfvn2AOl7xxIkTjBs3jrCwMK5du8avv/7KhAkTAPj9999ZuXIlYWFh3Lp1i02bNqFSqahZs+bL3ZSSjkdX9U+39tkasyxkupQrxXMLWm4KnfD2Wq3rdxRHNc8tyLLQVRdiMCVVa2zUo0RKCxuO3WTGTrUyN6CxM18PbCQpc3oiqlQsC1VXguhuWpma1aXa6BKSQlcorly5QoMGDTQPMzOzHFYfiZencuXKzJs3j48++ghHR0fGjx8PwIIFC5gzZw6LFi2idu3adO7cmd9++43q1avnu2bVqlXZuXMnv/32G56enqxZs0brMMLL0LlzZ37//XeCg4Np3LgxzZo1IyAggGrV8s7YXqlSJY4dO0ZGRgadO3emXr16fPDBB1hbWyMrQEzMzp07ady4MQMHDqROnTpMnz5doxDWr1+fo0ePcu3aNVq3bk3Dhg355JNPNC5dGxsbdu3aRfv27alduzZr1qxh69at1K1bt/A3pDTw9hro8TX0XZ/Vli3+8tPudejZoBI/+2fFYRrLc7fQzU4bChVyt5JaCmoL3SD5QQ6bfMhl06FU5gEWJKMgnZineVvwSgKiKPLN4evM/S0cgNE+rizq/QbyUuZKLk6OnVzKaVkaxqLI+PZSEmEJNYKoZ1BRu3bt8iyELIqiJlfY4MGDAfVJRX0tDCWVhIQEXFxcuHXrVo7YqNyIj4/H2tqauLg4ypUrp9WXkpLCzZs3qV69ulbclYSERN4U93vnbEAfGsQd4uGIM1R0ztut/mf4fcS4aDrt76jV/qHSn6WfL4Zlb0BcdI55ESpnuioXE2WaFQ+VLBojIHJJdOF69120remAg5VJiSxMn5qewcxdF9j1z38AjGnrxvTONUvkazEUqvRU+m3y5qochpSrzdS3fzK0SGWKvP5/Gxq9A3YOHz5c4MWLMwD9deHXX3+lQ4cOeitzEhISJROvST+jVKZQ0TT/k78d6zhCvApeSB+ZSN6Kpof8HhtNlmi1mQlK9f7CNQLC/mPGzguM9nFlZtfaXL4Xz9CgM4xtV4P3m73etTuV6SrGb/mX4PD7yGUCc3vUfe1lfh3Zc3gWV+VgpRIZ0SHA0OJIvEYUq8u1IKcXi5KQkBC6d+9OpUqVEARBpzv022+/1XyT9/LyKnQS1Z9++on+/fu/rMgSRYS/vz+WlpY6H/7+/oYWT6IEI8hkmOihzGmQ58zTeU/Mu+KBXEzDR/g31/5/I9VVJdYevQHA1wevExOXwie/XNRfLgOQkpbBiE1nCQ6/j7FcRpBfY0mZKwTKpMesuq2Oix3m2BKbclUMLJHE60SpPOWamJiIp6cnQ4cOpU+fPjn6t2/fzqRJk/j2229p2bIla9eupWvXroSHh1O1alUAvLy8SE1NzTH3wIEDVKpUCVCbXo8dO8a2bduK9wVJ6M38+fOZOnWqzr7XzTwuUcqRacfQBaT1JUx87qotpIfRVnhGkphl5TPNlisyNT3jtTxU8DAhlSHrT3PpbjxmRnK+fa8RbTzsDS1WiWTbnx9yVy7goIL32i/Jf4JEmaJUKnRdu3ala9euufYHBAQwfPhwRowYAcDy5cvZv38/q1evZtGiRYA6EWt+/O9//6Nz5875xuukpqZqKYfx8fH6vAyJQuDg4ICDg4OhxZCQgGwlwn5XNWdlxsunfynPM+6gVoZEUaScWdZHeOitJ9RxKvdaJeSNiUtmaNAZLt97hq2FMWvf95LqshaSZ0+j+O7RaZDJGFe9B6am0hdUCW3K3ClXpVJJaGgob775plb7m2++yfHjxwu0lr7u1kWLFmFtba15ODs7F2gfCQmJEogOl6uGQoYX/2Yymx6yYwCcuxNH9KOsHHaDvj9FvzUnUKlej9jlO0+SePub41y+9wxzYzk/jW4mKXMvQVDwJOJkMlxVMnq0+jT/CRJljjKn0D18+JCMjAwcHR212h0dHbl3757e68TFxXH69Gk6d86/JNfMmTOJi4vTPG7fvl1guSUkJEoYsuKpdb3S+BsAen1zjIOXtcvmXYtN4N/bT4pl34JwLy6FoUFn1ImQrU3ZPLwpNRysDC1WiSX27lk2J1wH4IN6w1EoXh8rrMTrQ5lT6DJ58Zh8ZtoVfbG2tub+/fuaagZ5YWJiQrly5bQeEhISpZzsOQRf0mgWodK26ivIWXIskz6rT3AvznD56q7ce4bvyr+4FpuAtZkRP49pgVe18gaTpzTw7eHppMgEGmJKO+8JhhZH4jXllSl0MpmM9u3b6xWbVpxUqFABuVyewxoXGxubw2onISEhUSw0H6fXsHW11jFYOYPfM5prtW81/gxn4T595UdZZvQN5UjAiHSqCGqL3e5//9OM3X4mmlGbzpKSVvw5QWOfpTDmh1AeJyqxMTfiZ//mVC5FpcoMwY3rf7A7Tf17ndx4upSzTyJXXplCt379enx8fHQWB3+VGBsb4+XlRXBwsFZ7cHAwLVq0MJBUEhISpRlBeMFE12QUjDoCrSbnOa/qG60JUXmSjIlWe2PZVUbK9/KV0Vrelh/jvOkoVhst42+TSbSQXeTkjUeasTN2XuBA+H1WHbpO7LPis9z9eu4uTRYe5MbDRBysTPhtfCs8HCU368uy8tg8VIJAO3l5GtbpZ2hxJF5jXplC5+fnx6effsqxY8eKfa+EhATCwsIICwsD4ObNm4SFhREdrc7MPmXKFNatW8f69euJiIhg8uTJREdHS3nKJPLFz8+PXr16FXp+27ZtmTRpkubaxcWF5cuXa67v3btHp06dsLCwwMbGJtc2iRKOTAaVGoJR3nntMtOS7MhozSWVdt42W+GZ1nVHuTp/3duyvzl69QG9vjnG2ajHmv5Vh6/TZOHBYrHUBRy4wsSt6v3Lmxvx0+jmONsWIGefhE7C/l3PQRKRiSIftF5gaHEkXnOKTKFLS0ujXbt2XL16taiWLDRnz56lYcOGNGzYEFArcA0bNmTOnDkA9O/fn+XLlzN//nwaNGhASEgIe/fuzbfmpoRheVH5KQ2cOXOGUaNGaa6XLVtGTEwMYWFhmveSrjaJEkZuMXRC7h/Bd22baBS6eCzpplxEtCorf1tqLlmnrorqZLNht5+y7UzOA1gPE3Lm13wZQq4+YOWh65rrdUO8cakgVc55WcSMDJaFfQ3A22ZVcavmY2CJJF53iiwPnZGRERcvXnwt/Ptt27bNt+zY2LFjGTt27CuSSOJ1QqlU6nWY5VVgb6+dYDUyMhIvLy/c3d3zbCsoaWlpGBkVz6lLiZdAlvtHcKXOU3hopK3wybK5bu2J0zlPTlaFnoiYePrLD9NR9g/j0yaQijFpGSKiKHLjYSLVbM1RyAv+vV6lEjlx4xFbTkWz50IMAG72FhyY7INcZvj/AaWBoycW848sHRNRZEyHpYYWR6IEUKQu18GDBxMYGFiUS0oAiCIoE1/9o4C1eFUqFYsXL6ZGjRqYmJhQtWpVFi5cCMB///1H//79KV++PHZ2dvTs2ZOoqCjN3ExX5ldffYWTkxN2dnaMGzeOtLQ0QK2k37p1i8mTJyMIgtYXh+PHj9OmTRvMzMxwdnZm4sSJJCYmavpdXFz47LPP8PPzw9rampEjR+olU0ZGBlOmTMHGxgY7OzumT59eoPrEiYmJDB48GEtLS5ycnFi6NOeHcnaro4uLCzt37mTTpk0IgoCfn5/ONlCnzRk1ahQODg6UK1eO9u3bc+7cOc26c+fOpUGDBqxfvx5XV1dMTEwQRfU/8i+//BJXV1fMzMzw9PRkx44dmnlHjhxBEAQOHjyIt7c35ubmtGjRgitXrmjJ/euvv+Lt7Y2pqSkVKlSgd++spLlKpZLp06dTuXJlLCwsaNq0KUeOHNH037p1i+7du1O+fHksLCyoW7cue/fu1fu+lkSE3Ex0sjwqOwhyzIy0+7Ov00Z+Qee0erIoBFTIyeB6bAKLjb6nkzyUQfKDAFy6G0fQsSg6LD3KlJ/O6VxDF8r0LEVxyYErvLvulEaZe6OyNUF+TSRlrojIUCaz/OpWAN6zeQPHCrUNLJFESaBIK0UolUrWrVtHcHAw3t7eOQrWBwRIhYQLRVoSfF7p1e/78V0w1t91MnPmTL7//nuWLVtGq1atiImJ4fLlyyQlJdGuXTtat25NSEgICoWCzz77jC5dunD+/HmNtezw4cM4OTlx+PBhrl+/Tv/+/WnQoAEjR45k165deHp6MmrUKI1CBnDhwgU6d+7MggULCAwM5MGDB4wfP57x48cTFBSkGbdkyRI++eQTZs+eDaCXTEuXLmX9+vUEBgZSp04dli5dyu7du2nfvr1e92PatGkcPnyY3bt3U7FiRT7++GNCQ0Np0KCBzvFnzpxh8ODBlCtXjhUrVmBmZoZSqczRJooi3bp1w9bWlr1792Jtbc3atWvp0KEDV69exdZWnbz1+vXr/PTTT+zcuRO5XK0YzJ49m127drF69Wrc3d0JCQnhvffew97eHh+fLJfOrFmzWLp0Kfb29vj7+zNs2DBN/OuePXvo3bs3s2bNYvPmzSiVSvbs2aOZO3ToUKKioti2bRuVKlVi9+7ddOnShQsXLuDu7s64ceNQKpWEhIRgYWFBeHg4lpaWet3TUkceFjoEmVZpLwCZHvlP3pKf5C35SSJVTnRWLtZ8yluRDMD4LVm1Yn89d5eVAxvmu+bXB6+x6vB1fvZvjoejFZuOR2n6Gjjb8Mu4lvmuIaE/vx75mEg5WKtEhnVcZmhxJEoIRarQXbx4kUaNGgHkiPV5HVyxEsXHs2fPWLFiBatWrWLIkCEAuLm50apVK9avX49MJmPdunWav4OgoCBsbGw4cuSIpmpH+fLlWbVqFXK5nFq1atGtWzcOHjzIyJEjsbW1RS6XY2VlRcWKFTX7LlmyhEGDBmkOGri7u7Ny5Up8fHxYvXq1pixb+/bttWq86iPT8uXLmTlzpqYe8Jo1a9i/f79e9yMhIYHAwEA2bdpEp06dANi4cSNVquReTNve3h4TExPMzMy0XuOLbYcOHeLChQvExsZiYqI+/fjVV1/xyy+/sGPHDk1MnlKpZPPmzRq3bmJiIgEBARw6dIjmzdVpMFxdXfn7779Zu3atlkK3cOFCzfVHH31Et27dSElJwdTUlIULFzJgwADmzZunGe/p6Qmo3cNbt27lzp07mprHU6dOZd++fQQFBfH5558THR1Nnz59eOONNzQylHZyVcOEPCx0spwOlFwtfTpwk8VQQ7ibvwx5kKRMJzVNxdJg9ed5j1XHaF/LgUSl+mCFv48bQ1u6FGJlidxISXzIN3cOgFzGSCcfyllWzH+ShARFrNAdPny4KJeTyMTIXG0tM8S+ehIREUFqaiodOnTI0RcaGsr169exstJOYZCSkkJkZKTmum7duhpLEoCTkxMXLuh2K7249o8//qhpE0URlUrFzZs3qV1b7arw9vYukExxcXHExMRoFB8AhUKBt7e3Xm7XyMhIlEql1nxbW1tq1qyZ79z8CA0NJSEhATs7O6325ORkrftZrVo1rRi98PBwUlJSNApmJkqlUnOAKJP69etrnjs5OQHqXI1Vq1YlLCxMy0qanX/++QdRFPHw8NBqT01N1cg7ceJExowZw4EDB+jYsSN9+vTR2q9MoUNp0yDIsbfSTleij4UuO13lpzTPm8gu01y8xAlVXb3nd14ewu3HyVpth55Xp/B0tuGjrrUKJI9E/mz5czL35TKcVDCg/WJDiyNRgihShQ7g6dOnBAYGEhERgSAI1KlTh2HDhmFtbV3UW5UdBKFArk9DYGaWe/JQlUqFl5eXltKVSXaF48WgfUEQUKlUL07Jsfbo0aN15jesWrWq5vmL7n99ZSosBYm1KygqlQonJyetuLRMsqc10fWaQe0yrVy5slZfpqUvk+y/i0wLZub8/H7Xcrmc0NBQLeUc0LhVR4wYQefOndmzZw8HDhxg0aJFLF26lAkTSm8G/FwdFHm5XGVyTI3knJnVkXV/32Dt0RsFstABfKDYrXneWn6R1vKL1E/5jnhyd3FfeV571d7KJIcylx0XOyktSVET9/g66x7/AzIZ4117Y2JcRkMRJApFkSp0Z8+epXPnzpiZmdGkSRNEUSQgIICFCxdy4MABjTtWovTh7u6OmZkZBw8eZMSIEVp9jRo1Yvv27ZoA/sJibGxMRoZ2Dq1GjRpx6dIlatSoUaC19JHJycmJkydP0qZNGwDS09MJDQ3V6++4Ro0aGBkZcfLkSY1i+eTJE65evarl2iwMjRo14t69eygUClxcXPSeV6dOHUxMTIiOjn4pGerXr8/BgwcZOnRojr6GDRuSkZFBbGwsrVu3znUNZ2dn/P398ff318RelmaFLlfycrk+T2lib2WCjZk6zrSgCp0unIUHXBKzFIXYZyn8c+spneo48iRJSeflIQD8Nb2dzvlu9hZEPkikmaudzn6JwhP452SeyWS4q+R0a/WJocWRKGEUqUI3efJkevTowffff49CoV46PT2dESNGMGnSJEJCQopyO4nXCFNTU2bMmMH06dMxNjamZcuWPHjwgEuXLvHuu++yZMkSevbsyfz586lSpQrR0dHs2rWLadOm5RlXlh0XFxdCQkIYMGAAJiYmVKhQgRkzZtCsWTPGjRvHyJEjsbCwICIiguDgYL7++utc19JHpg8++IAvvvgCd3d3ateuTUBAAE+fPtVLVktLS4YPH860adOws7PD0dGRWbNmIcvLxaYnHTt2pHnz5vTq1YvFixdTs2ZN7t69y969e+nVq1cO93ImVlZWTJ06lcmTJ6NSqWjVqhXx8fEcP34cS0tLTexjfnz66ad06NABNzc3BgwYQHp6On/88QfTp0/Hw8ODd999l8GDB7N06VIaNmzIw4cPOXToEG+88Qa+vr5MmjSJrl274uHhwZMnTzh06JDGNV5ayTWCOJ9Trpmonlt8w1RumgTChWWPySw2pXeiqhDLugxfmqgPohM4xBsz46w978frrioRPNmHhwmpOJQzfSk5JLSJuXOSH5NugiAwub4/cnmRO9AkSjlFbqHLrsyBOu5o+vTpuf6TkSg9fPLJJygUCubMmcPdu3dxcnLC398fc3NzQkJCmDFjBr179+bZs2dUrlyZDh06FMhiN3/+fEaPHo2bmxupqamIokj9+vU5evQos2bNonXr1oiiiJubG/37989zLX1k+vDDD4mJicHPzw+ZTMawYcN4++23iYvTnf/rRZYsWUJCQgI9evTAysqKDz/8UO+5eSEIAnv37mXWrFkMGzaMBw8eULFiRdq0aZNvPeIFCxbg4ODAokWLuHHjBjY2NjRq1IiPP/5Y7/3btm3Lzz//zIIFC/jiiy8oV66cxooJ6sMln332GR9++CH//fcfdnZ2NG/eHF9fX0CdDmbcuHHcuXOHcuXK0aVLF5YtK90n+c6ocok1y8flmkmmC/+jtFGctZkPz2JeSp7BCnXpw7byc7ikbAHg60PX6euV9eUqez3YTCa0r4FMJkjKXDHwzZGPUAoCjTGjVaPRhhZHogQiiEUY7OPo6MjmzZs1pxYz2b9/P4MHD+b+/ftFtVWJJj4+Hmtra+Li4nIoNCkpKdy8eZPq1atrTmhKSEjkz2v53nkUCbeO4bGjPEqV2job9UW3rP4LO2DncN1zRx6Gymr3/sqD1wh4ftI0aogKtr9XZCLWTNmAEgViPmlJzYzkRCzoUmT7SmRx9cr/6HtiFqIgsKXpfN6o9bahRZLIhbz+fxuaIk0s3L9/f4YPH8727du5ffs2d+7cYdu2bYwYMYKBAwcW5VYSEhISrz92btBoMBnk4lrV00Knyv69W1a0FT+Om0xgm/FnRbqmRAEQRVaeXIgoCHRS2EnKnEShKVKX61dffYUgCAwePJj09HRAfVpuzJgxfPHFF0W5lYSEQYmOjqZOnTq59oeHh2udspWQ0EmeMXRZ37dVqmwKXRHHVtkJz7ATLmOCklRyL4knFsGBDImcnP3ne46SjFwU+aDN54YWR6IEU6SfDMbGxqxYsYJFixYRGRmJKIrUqFEDc3PpeLtE6aJSpUqEhYXl2S8hkUmukS3ZT7maWkNKnM6+7PpcUVvoMnET7hIuuhTL2hK6ETMyWHb+W5BBX/PqVHNuYWiRJEowRabQpaWl8eabb7J27Vo8PDw0WeAlJEojCoWiwKlSJCRykN3lOmAL/PgOpD2vQ5z9UER265i8eBQ6VyFGUuheMQePLeS8LAMzlYh/R6k0psTLUWQxdEZGRly8eFEq8SUhISGhL9nT2Ni6Qe+1WdfZLHQudtmSRBeThc5SSAZEPlMEMl6uTkjcqkYFTX8x5souk6QrE1lx/WcABts2oIKtu4ElkijpFOmhiMGDBxMYGFiUS0pISEiUDRQm2i7YbF+OezeqwpROHmwb1axoYujscioPJqRRS7jNe4qDTDX6GRBzr3Ah8dLsOjSDKDnYqkT8JOucRBFQpDF0SqWSdevWERwcjLe3d47SQwEB0h+thISEhIbspe3kxtqHJLI9l8sEJnZ4roTdjX75fSt4wKNrWk2mKDFFqbk2IgNZNo1OMtAVHUkJ91l99zDIZYyq3B5LCwdDiyRRCihShe7ixYuaskhXr17V6pNcsRISEmUVUyM5ScqMnB2q9KznChOtk625lgV70fdp4QCJsZrLkIw3aCO/kLdAZuVzyogSVbaaFt1lx4kTelPDwZIaDw/xoeVBeEtoPL4AACAASURBVFoPbJzzXlsiX374czIP5TIqq+CdtosNLY5EKaFIFbrDhw8X5XISEhISpYKNw5rwwdZ/mdujrnZHdoVOptBW6HJNafKCQufRGf7drO4xMmdwyky80y+zw2R+7gKZWudoMhHStGrFBhivYX2iFQuHjKPi1z0gBfhzLvSVwmpehicPr7D+yTmQyZjo3h8jYzNDiyRRSiiyGLq0tDTatWuXwzInIWFIjhw5giAIetdglXg5oqKiEAQhz5QuhcXFxYXly5cX+bqvgsYuthyf2YE361bU7hCzWe0EQVuJE3L7eH7R25HTGXpWzKXUWCZpSTmaTFFiTLpW27CHS6gY1DSrIUV6H70s3x2cTKJMRm1RQZcWMw0tjkQpQjrlKiHxipg7dy4NGjQwtBhFhp+fH7169TK0GCUb1QtuWK1DEblY6Jw8obLXy+2b/BiG/qHVZEIakxQ7c45NyFay0UjKKfoy3Ik+xrZkdQzkZM9xyPJKLC0hUUCkU64SEhIShsLSMfe+3P7Zy+Qw8lDWdTYDXfav06liHulNkh5DNe0ktlVkD2gpv5T7HFArdNEn4WwQxMfkPVYiB6tCZpIuCDQXLGjecIShxZEoZRSpQqdUKlm9ejVeXl6MHj2aKVOmaD0kCocoiiSlJb3yR67Z7XNBpVKxePFiatSogYmJCVWrVmXhwoUAXLhwgfbt22NmZoadnR2jRo0iISFBMzfT2vP555/j6OiIjY0N8+bNIz09nWnTpmFra0uVKlVYv369Zk6me2/btm20aNECU1NT6taty5EjR/KU8/jx47Rp0wYzMzOcnZ2ZOHEiiYnqZK6XL1/G3NycLVu2aMbv2rULU1NTLlzIJ9ActYu3SZMmWFhYYGNjQ8uWLbl16xYbNmxg3rx5nDt3DkEQEASBDRs2ABAXF8eoUaNwcHCgXLlytG/fnnPnzmnWzLTsrV27FmdnZ8zNzenXr5/ebuTC3FuA//77j/79+1O+fHns7Ozo2bMnUVFRGpk2btzI//73P83ryX7fb9y4Qbt27TA3N8fT05MTJ05orb1z507q1q2LiYkJLi4uLF26VKs/NjaW7t27Y2ZmRvXq1fnxxx/1eq0lDpdW0HEuDNyesy9Xl+uL6H6frq+3KfcplRrmaPKRnc9/q/RkWN8Zfp8EAbWk5HQFICJiJ3syngAwqdlsA0sjURp5ZadcJQpPcnoyTbc0zX9gEXNq0CnMC+BimTlzJt9//z3Lli2jVatWxMTEcPnyZZKSkujSpQvNmjXjzJkzxMbGMmLECMaPH69RagAOHTpElSpVCAkJ4dixYwwfPpwTJ07Qpk0bTp06xfbt2/H396dTp044O2edtJs2bRrLly+nTp06BAQE0KNHD27evImdnV0OGS9cuEDnzp1ZsGABgYGBPHjwgPHjxzN+/HiCgoKoVasWX331FWPHjqVly5YYGRkxcuRIvvjii3yrn6Snp9OrVy9GjhzJ1q1bUSqVnD59GkEQ6N+/PxcvXmTfvn38+eefAFhbWyOKIt26dcPW1pa9e/dibW3N2rVr6dChA1evXsXW1haA69ev89NPP/Hbb78RHx/P8OHDGTdunN6KTkHvbVJSEu3ataN169aEhISgUCj47LPP6NKlC+fPn2fq1KlEREQQHx9PUFAQALa2tty9exeAWbNm8dVXX+Hu7s6sWbMYOHAg169fR6FQEBoayjvvvMPcuXPp378/x48fZ+zYsdjZ2eHn5weoldDbt29z6NAhjI2NmThxIrGxsbm9vJKLIECrydrXmud6KnS5KFU21erBiwa3hu9B+erQdHTB5Mwk8ZH2deozMC1XuLXKEqLI8lNfgAC+RvbU8XjL0BJJlEKkU64SRcKzZ89YsWIFq1atYsiQIQC4ubnRqlUrvv/+e5KTk9m0aZMmN+GqVavo3r07ixcvxtFR7XaytbVl5cqVyGQyatasyZdffklSUhIff/wxoFYYv/jiC44dO8aAAQM0e48fP54+ffoAsHr1avbt20dgYCDTp0/PIeeSJUsYNGgQkyZNAsDd3Z2VK1fi4+PD6tWrMTU1ZezYsezdu5f3338fY2NjvLy8+OCDD/K9B/Hx8cTFxfHWW2/h5uYGQO3atTX9lpaWKBQKKlbMCow/dOgQFy5cIDY2FhMTEwC++uorfvnlF3bs2MGoUaMASElJYePGjVSpUgWAr7/+mm7durF06VKt9XKjoPd227ZtyGQy1q1bp4mLDQoKwsbGhiNHjvDmm29iZmZGamqqzv2nTp1Kt27dAJg3bx5169bl+vXr1KpVi4CAADp06MAnn3wCgIeHB+Hh4SxZsgQ/Pz+uXr3KH3/8wcmTJ2naVP1FJjAwUOtelgn0jq/SrdDpjGZ2fAOa+RdWIq30KABc3gOeA5AyEOfNibPfclxIQSGKjJfSlEgUE0Wi0Pn6+rJ161asrdVH4RcuXMi4ceOwsbEB4NGjR7Ru3Zrw8PCi2K7MYaYw49SgUwbZV18iIiJITU2lQ4cOOvs8PT21Ek23bNkSlUrFlStXNApd3bp1kWUrheTo6Ei9evU013K5HDs7uxyWmubNm2ueKxQKvL29iYiI0ClnaGgo169f17JsiaKISqXi5s2bGqVh/fr1eHh4IJPJ9D7sY2tri5+fH507d6ZTp0507NiRd955Bycnp1znhIaGkpCQkMOamJycTGRkpOa6atWqGmUu8zVn3j99FLqC3tvM+2RlZaW1TkpKipZcuVG/fn3N88zXHxsbS61atYiIiKBnz55a41u2bMny5cvJyMggIiJC83vMpFatWprPk1JNdmtbbociXgYj05eb/+y+9vUv/uo16779cuuWYlQZaSy/8B3Iob+FG86VGhtaJIlSSpEodPv37yc1NVVzvXjxYgYOHKj5AE5PT+fKlStFsVWZRBCEArk+DYGZWe7KnyiKuSpE2duNjIxy9OlqU2XPrp8Lue2nUqkYPXo0EydOzNFXtWpVzfNz586RmJiITCbj3r17VKpUKd89QW3FmjhxIvv27WP79u3Mnj2b4OBgmjVrlqs8Tk5OOuP+8lJgMl+fvqfKC3pvVSoVXl5eOl269vb2BdovU8bMtXX9PWSP18x8XuZPzOtroStIHJviJRW61LicbafXSQpdHhwImU+4XIWFSmRUx2WGFkeiFFMkhyJeDJ4vaDC9RMnH3d0dMzMzDh48mKOvTp06hIWFaQ4eABw7dgyZTIaHh8dL733y5EnN8/T0dEJDQ6lVS3cerkaNGnHp0iVq1KiR42FsbAzA48eP8fPzY9asWQwdOpR3332X5ORkveVp2LAhM2fO5Pjx49SrV09zwMLY2JiMDO00FY0aNeLevXsoFIoc8lSokFUYPTo6WhOfBnDixIkiu3+6aNSoEdeuXcPBwSGHXJmWeF2vRx/q1KnD33//rdV2/PhxPDw8kMvl1K5dm/T0dM6ePavpv3LlStnIJViYGLpcXK5WpjpOub6o0HkO0nOPPNCl5EkAkJbyjBU3dwMwtIIXtuVdDSyRRGmmSE+5SpRdTE1NmTFjBtOnT2fTpk1ERkZy8uRJAgMDeffddzE1NWXIkCFcvHiRw4cPM2HCBN5//32Nu/Vl+Oabb9i9ezeXL19m3LhxPHnyhGHDhukcO2PGDE6cOMG4ceMICwvj2rVr/Prrr0yYMEEzxt/fH2dnZ2bPnk1AQACiKDJ16tR85bh58yYzZ87kxIkT3Lp1iwMHDnD16lWNG9fFxYWbN28SFhbGw4cPSU1NpWPHjjRv3pxevXqxf/9+oqKiOH78OLNnz9ZSaDLv37lz5/jrr7+YOHEi7/yfvfuOj6pKGzj+uzOTSjopEJIAkSIQIBBwKVICGIiFruiKdIRFBAQWV1EWsLA2QHFR1BWwgwXXFQTzihAkChIIRRBEE0IJxARII21m7vvHkCGTRsokk0mer598nLn3zrnPPZlhnpxzzzn33Vep7tbqePDBB/H19WXEiBHs2bOHxMREdu/ezdy5czl37pz5eo4cOcLJkydJS0ujsLCwUmUvWLCA7777jmeeeYZTp06xceNGXn/9dXMdt2/fnmHDhjF9+nT27dtHfHw806ZNq7AVuEGqzqAIVWX5iE6M6taCYWFlvDdKJnTD18CItdWPEeDiUTj8Sc3KaKA+3fl3zmkVmhpVHpLWOVHLrJLQFU1bUHJbQ/byyy/TqVMnwsLC+OCDD2wdTr3w9NNPs2DBApYsWUKHDh0YN24cqampuLq6smPHDi5fvkzPnj0ZO3YsgwcP5vXXX7fKef/1r3/xwgsv0LVrV/bs2cN///tfi9at4rp06cLu3bv57bff6NevH926dePpp5823+f13nvvsW3bNt5//310Oh2urq58+OGHvPPOO2zbtq3COFxdXfn1118ZM2YM7dq14+GHH2b27NnMmGEaUThmzBiGDRtGZGQkfn5+fPzxxyiKwrZt2+jfvz9TpkyhXbt23H///SQlJVkku23atGH06NHceeedREVFERYWxtq1Nfwivsm1xMbGEhISwujRo+nQoQNTpkwhNzcXDw/TqMbp06fTvn17evTogZ+fH3v37q1U2d27d2fz5s188sknhIWFsWTJEpYvX24e4Qqmruvg4GAGDBjA6NGjzdO6NCrV/Dd0Qu9WrBoXjlZTxut1jpbPtToIssI9XVtmwKUK5rAz6Mvf10DlZF5g3cU9AMwKisLVxcfGEYmGTlGt0D+q0WiIjo42j9L73//+x6BBg8w3wefn57N9+/Zqdc/UR0ePHmXixInExcUBMHjwYLZu3Vrpm7YzMzPx9PQkIyPD/OVYJC8vj8TERFq3bo2zcw3vd2ngkpKSaN26NYcOHWpQKzCUtHTpUr788staWU6rIWkQn52kH2CDaXQwS2/Slbn0+nqsne+Fo5+aHutc4KmLpY8pMv4LaFNi4FLmBVhpOYL4iuqGt5JNlTz4ObQdYnp8IcE0pUnrfqZE7z9R0GcODHy8amXasbVf3McbWSdoZVT4Yvw+HBwaWQtzA1XR97etWaWFbuLEifj7++Pp6Ymnpyfjx48nMDDQ/Nzf358JEyZY41T1wokTJ8wT2To7OxMeHs727dttHZYQojGqyt/kahkDihybWDx9qfA+xhdUYo3RRYngVywRLBpFrS+AtwbAxrvhajK80QcKsmHX85WP086lpR5jQ4ZpVoc57cdLMifqhFVGuRZNLFpfxMbG8tJLLxEfH09KSgpbtmwptebk2rVreemll0hJSaFTp06sXr2afv36Var8sLAwli1bZr5Je+fOnYSGys2ujYGbm1u5+7755ptKv4esqT7GJKqpaAUH71ZVeFEVEjptGQMlHIoldK6+/PvySBypxP2Qrj7gWGz0fdE0K+uKvd9iX6p8bA3ImzsXkKtR6Kw6MKTXze+/FcIarDqxcH2Rk5ND165dmTx5snnC2eI2bdrEvHnzWLt2LX379mXdunVER0dz/Phx89QVERERFlOxFPn222/p2LEjc+bMYdCgQXh6etKzZ090uvKrMj8/36KszMxMK1ylaNWqVZ2PqK6o27NFixa1cs6lS5eydOnScvfbIiZRSxybwJMpoHW8+bFFKvsZ6HAPtCojudcW+7fLaLrXrYAK1oG1UOw+vbwMOPkN/PnrjW3HvqhkOQ3HmaRdfJ53HhSFx7rNQ9HI2ENRNxpkQhcdHU10dHS5+1euXMnUqVOZNs20OPLq1avZsWMHb7zxBitWrABME6tWZMaMGeab3adNm0abNm3KPXbFihUsW7asqpch6qGKfs+2Uh9jEjXgWJM5J8tO7o44R9BlXCUGbxkNfDqzN/e++ePNjy1p80OltxWUuA9PVRv8qhJr9jyFXlHop3GnZ9eGc6uRqP8a3Z8OBQUFxMfHExUVZbE9KirKPMihMopm1D958iT79+9n6NCh5R77xBNPkJGRYf45e/Zs9YIXQohSKtNCV9kpUAx0D/EGYGJBJQYwVDU5e2cIGBvG4LiyHDv2MTuMGSiqyrw+8ke8qFuNLqFLS0vDYDCUmv8sICCAixcvlvOq0kaOHEnHjh0ZP34869evr7DL1cnJCQ8PD4sfIYSokbDrt5P0ebTi4wDjzea0a3F9mbVb76ZotpPdxq7savpADQIsw/kDkH7a9Di/iqNo6znVaGTlzy8DcI9Tc9rdcoeNIxKNTYPscq2MspYeqsrceVVpzRNCCKsb8x+4ayW4lD9d0o+t/kanpPfwGfVixWXd9TKc3Q8Rky3+HdQrN7mXrjr3sOZehT92w3vDod9CGPx01cuoh/buf5WfNQU4qiqzIxvnYBBhW1ZvoduzZw/jx4+nd+/enD9/HoD333+/1FI/tuLr64tWqy3VGpeammqVVQuEEKJOKEqFyRxA70n/oslTyYS0u8k8jYHd4C8zSk08fNOErjqyL8I3i0yP97xs/fJtwKgvYNVx02wPD7i3o3mzhjsvpqi/rJrQff755wwdOhQXFxcOHTpkHtmZlZXF88/XjzmIHB0diYiIICYmxmJ7TEwMffr0sVFUQghhBWW0mGkruB3kZvSamyR01RngsHmC5UjYBmDr7qc5pVVxN6pMH7za1uGIRsqqCd2zzz7Lm2++ydtvv42Dw41/CPr06cPBgweteaoKZWdnk5CQYJ7OoWj9zOTkZADmz5/PO++8w7vvvsuJEyd47LHHSE5OZubMmXUWY2MxcOBA5s2bZ7Xyli5d2qBXhbCmpKQkFEWplRUmWrVqxerV8sXV0BmUcpJBZ8+ytzdC+blXWHNmKwBT/Xvh6RVi44hEY2XVe+hOnjxJ//79S2338PAwT8JbFw4cOEBkZKT5+fz58wHTihYbNmxg3LhxpKens3z5clJSUggLC2Pbtm20bNmyzmIUttXQltOaNGkSV69e5csvv7R1KKIBKaSc+fCmf1+3gdRjm75bSIpWwd8IDw5+xdbhiEbMqgld8+bNOX36NK1atbLY/sMPP9TpSgoDBw686YSzs2bNYtasWXUUkRBC1AErz/FWZgudb3toekvRCa14ssKyV7Kox7Iyknnrz59Ao+GRlnfhLC2Xwoas2uU6Y8YM5s6dy759+1AUhQsXLvDhhx+ycOFCSZ5qQFVVjNeu1flPVVdhyMnJYcKECbi5udG8eXNeecXyr1VFUUq1IHl5ebFhwwbz88cff5x27drh6upKaGgoTz/9NIWFlViGqAy7du3itttuo0mTJnh5edG3b1/OnDnDhg0bWLZsGYcPH0ZRFBRFMceQkZHBww8/jL+/Px4eHgwaNIjDhw+byyzq8l23bh3BwcG4urpy7733VroFetKkSYwcOZLnn3+egIAAvLy8WLZsGXq9nr///e/4+PgQFBTEu+++a/G68+fPM27cOLy9vWnatCkjRowgKSnJHNPGjRv573//a76eXbt2mV/7xx9/EBkZiaurK127duXHHy0njf3888/p1KkTTk5OtGrVqtTvLTU1lXvuuQcXFxdat27Nhx9+WMnfgLB3ZQ6KcHCu3IsjF1fuuLwM+PgBeDEUzvwI70bD/9nHHG7vxswjQ6PhFqOG4f3tI2bRcFm1hW7RokVkZGQQGRlJXl4e/fv3x8nJiYULFzJ79mxrnqpRUXNzOdk9os7P2/5gPIpr5Wet//vf/87333/Pli1baNasGU8++STx8fFVuufN3d2dDRs2EBgYyNGjR5k+fTru7u4sWrSoSrHr9XpGjhzJ9OnT+fjjjykoKGD//v0oisK4ceM4duwY27dv5//+7/8A8PT0RFVV7rrrLnx8fNi2bRuenp6sW7eOwYMHc+rUKXx8fAA4ffo0mzdv5n//+x+ZmZlMnTqVRx55pNKJzs6dOwkKCiI2Npa9e/cydepUfvzxR/r378++ffvYtGkTM2fO5I477iA4OJhr164RGRlJv379iI2NRafT8eyzzzJs2DCOHDnCwoULOXHiBJmZmeZ1lX18fLhw4QIAixcv5uWXX6Zt27YsXryYBx54gNOnT6PT6YiPj+e+++5j6dKljBs3jri4OGbNmkXTpk2ZNGkSYEpCz549y86dO3F0dGTOnDnmibVFw6Yvq4VOV4mF5kP6QNf74fvnbn7sv4rdc7Z+mOn/yXHgEQi3Ta9coDZwKeUgH2SdAo3C3I6T0OmcbB2SaOSsPg/dc889x+LFizl+/DhGo5GOHTtWuHi4aBiys7P5z3/+w3vvvccdd5gm1Ny4cSNBQUFVKuepp54yP27VqhULFixg06ZNVU7oMjMzycjI4O677+aWW0zdQx06dDDvd3NzQ6fT0axZM/O2nTt3cvToUVJTU3FyMv3j/PLLL/Pll1/y2Wef8fDDDwOQl5dncW1r1qzhrrvu4pVXXrEorzw+Pj689tpraDQa2rdvz4svvsi1a9d48sknAdPKIv/617/Yu3cv999/P5988gkajYZ33nnHPEfY+vXr8fLyYteuXURFReHi4kJ+fn6Z51+4cCF33XUXAMuWLaNTp06cPn2aW2+9lZUrVzJ48GCefto0F1i7du04fvw4L730EpMmTeLUqVN88803/PTTT/zlL38B4D//+Y9FXYp6xMprG+uVMu6hu1kL3UNfQvBfIPeK5XZXX7iWVvmTb1tYrxO6N75fRJ5GoZvqxMCec20djhC1M7Gwq6srPXr0qI2iGyXFxYX2ByteW7a2zltZv//+OwUFBfTu3du8zcfHh/bt21fpnJ999hmrV6/m9OnTZGdno9frq7Wyho+PD5MmTWLo0KHccccdDBkyhPvuu4/mzZuX+5r4+Hiys7Np2rSpxfbc3Fx+//138/OQkBCLRLV3794YjUZOnjxZqYSuU6dOaIot2B0QEEBYWJj5uVarpWnTpuZWsPj4eE6fPo27u7tFOXl5eRZxladLly7mx0XXn5qayq233sqJEycYMWKExfF9+/Zl9erVGAwGTpw4gU6ns/g833rrrXh5VTz/mWgYyryHTlcsoSvrnr0WEab1aPOzLLc7e1QtoQMouFbDtW1rxx9/fMeWgougKMzvsRBF0+gWXRL1kFUTusmTJzN+/HgGDRpUpVUXRMUURalS16ctVOZ+O0VRSh1X/P64n376ifvvv59ly5YxdOhQPD09+eSTT0rd01VZ69evZ86cOWzfvp1Nmzbx1FNPERMTQ69evco83mg00rx5c4v7z4pUlMAUvdcr+54vPqVP0evK2mY0Gs1xRURElNml6+fnV6XzFcVYVHZZK6QU/x0VPZbPc+NUWFYLXfGErqzPfVHXo6bE14tjNXpqMs+Db9uqv66Wvbp3CUZFYZDGg/Cw+20djhCAlQdFpKenc9dddxEUFMSCBQsazJQQ4ubatGmDg4MDP/30k3nblStXOHXqlPm5n58fKSkp5ue//fYb165dMz/fu3cvLVu2ZPHixfTo0YO2bdty5syZGsXVrVs3nnjiCeLi4ggLC+Ojjz4CTBNMGwyWi4R3796dixcvotPpaNOmjcWPr6+v+bjk5GTz/WkAP/74IxqNhnbt2tUo1vJ0796d3377DX9//1JxeXp6lns9ldGxY8dSq7jExcXRrl07tFotHTp0QK/Xc+DAAfP+kydP1uk0RMJ2ymyhcyjWct/53tL7tdeTwJKtVo5Nqh5A5vmqv6aWJRz7hJ3GTDSqyty+MhBC1B9WTei++uorLl68yD//+U/i4+OJiIigY8eOPP/88+YReaJhcnNzY+rUqfz973/nu+++49ixY0yaNMmia3HQoEG8/vrrHDx4kAMHDjBz5kyL1qM2bdqQnJzMJ598wu+//85rr73Gli1bqhVPYmIiTzzxBD/++CNnzpzh22+/5dSpU+Z7v1q1amWecDotLY38/HyGDBlC7969GTlyJDt27CApKYm4uDieeuopi4TG2dmZiRMncvjwYfbs2cOcOXO47777KtXdWh0PPvggvr6+jBgxgj179pCYmMju3buZO3cu586dM1/PkSNHOHnyJGlpaZUeGbxgwQK+++47nnnmGU6dOsXGjRt5/fXXWbhwIQDt27dn2LBhTJ8+nX379hEfH8+0adNwqUJ3vLBfhrJGuRZvoes5tfT+otbcki10irbqAeRUsYu2lqmqyqp403JloxybERo6xMYRCXGD1Tv+vby8ePjhh9m1axdnzpxh8uTJvP/++7Rp08bapxL1zEsvvUT//v0ZPnw4Q4YM4fbbbyci4sbo3FdeeYXg4GD69+/PX//6VxYuXIhrsa7kESNG8NhjjzF79mzCw8OJi4sz36xfVa6urvz666+MGTOGdu3a8fDDDzN79mxmzJgBwJgxYxg2bBiRkZH4+fnx8ccfoygK27Zto3///kyZMoV27dpx//33k5SUZLHOb5s2bRg9ejR33nknUVFRhIWFsXbt2mrWWuWuJTY2lpCQEEaPHk2HDh2YMmUKubm55vsLp0+fTvv27enRowd+fn7s3bu3UmV3796dzZs388knnxAWFsaSJUtYvny5eYQrmLqug4ODGTBgAKNHjzZP6yIavsLid+W0MQ12os+jN7ZptFB8ZYTQgcX2lUzoqtFtbyj2h4mqWj63gd0H3+Qg+TgbVf428AWbxiJESYpa1cnGKqmwsJCtW7fywQcfsHXrVnx8fDh/vv41n9tCZmYmnp6eZGRklLrhPy8vj8TERFq3bo2zcyXnexJ1pqGtMNGQNOrPztLrE9pqHeHpP2tcXKt/mJaymtGhkCcSJ5o2LjhlGtjgUKJ1dlUYZJw1PV5y5UZXq74Ani12j2enUfBLBS3uigZUo+W2sLFw1yvg4gXfPA4H3oXoF6HH5BpcXfXojXrGvn8bv1PINOeWzB33dZ3HIGyvou9vW7N6C93333/P9OnTCQgIYOLEibi7u/O///2Ps2fPWvtUQgghapGheDepRlc6mQPLJKz4fXMlW+h8QqFZ5/JP1m186W3HPoP1d5oe738bDAXwtfXWhq6K/+1Zzu8U4mkwMjlSWudE/WPVUa5B9kw8TAAAIABJREFUQUGkpaUxbNgw1q1bxz333NP4/lIWdaai+Q2/+eYb+vXrV4fRmNTHmISoLmPxv/k15dwDV14nT8lBEaoK3SbAN38v+/jsciarTv3FdC+dWmzQT14G1OEyW3kF13j9jy2ggemeYXj4d6qzcwtRWVZN6JYsWcK9996Lt7e3NYsVokwVdXu2aNGiVs65dOlSli5dWu5+W8QkRG0xKsWSsnLvgavmXTt3LIeYJTee91sAp7aXfexLt1g+/1cIDF4CLj7w61a4b2P1RtFW0kffPkqqBgL1Bh64c12tnUeImqhxQjd//nyeeeYZmjRpwq+//sozzzxT7rErV66s6emEMKuPA23qY0yiEXDyhPwMCOxu1WLzlGJdrOWNUi1531uFiiV/fedaJnTBt1UpNr5bfuPxz/+BW+8ydQl7BFatnJvIOB3DO6k/gVbD7KChOLrIpNqifqpxQnfo0CHzFAmHDh0q9ziZmLRqammsihANVqP+zEz/Dn5+B/pa9/6yHK0n3PmyacCCUzm3E1QpoaslGedgzfVktvjAjJoqyOGdrdPI8vKgXYGeO4e8ZJ1yhagFNU7ovv/++zIfi+opmpft2rVrMteXEFVQNEl1yVU3GgXfthBdSzfq32w91ZokdM06w8Wj0Gl09csAywmIty2Au1fVrLzrUj6+j488TEvuzWsxBK22VlbLFMIqrPruTE5OJjg4uMzWuOTkZEJCQsp4lShOq9Xi5eVlXsfT1dVVWjeFqICqqly7do3U1FS8vLzQaqsxga0oU9MmZSz9VVJVWkadSkzz8OBnpqlMwv9atcBKMhTceHzgXeskdAY9/846ToG7Gz3z8rl9yIs1L1OIWmTVhK5169akpKSUmnQ0PT2d1q1bV2tposaoaMWBoqROCHFzXl5etbZaR2Pz779254uD55g3pBLrqFalha7zWNPAh1a3m567N4Nef6tekMUVXLN8rqqw52VwcIXej1SryFNndvGVm2mgxfy7N6A4So+JqN+smtCVtdA3QHZ2tkxfUgWKotC8eXP8/f0rvYSTEI2Zg4ODtMxZ0V1dmnNXl+aVO7gqLXRaB9OIVGsrzLnxuIk/JO2Bnc+ankdMBkfXsl9XHqOB1/Y8iaooRBkcCWvRx3qxClFLrJLQzZ8/HzAlIk8//bTFck4Gg4F9+/YRHh5ujVM1KlqtVr6khBD1XD0YjFJQLKFTDfD7zhvPc6+YErrcq3ByG9x6t2nFiwoc2PoIu8lFq6rM8e9bS0ELYV1WSeiKRreqqsrRo0dxdLxx34WjoyNdu3Y1L/YthBCiAamr0cUP74JzB2BbGd8lxRO6a+nwQ7F76FZ1hOFrTPfq/b4Twv4Pxr5b9jkMetQPx7Iq9zg4OzE2K5uWDzxnzasQotZYJaErGt06efJkXn311Xq3vpkQQohaUlfTlgR2g6xLZe8ryK74tV89euPxsc9LJ3QpR+BMHLTszc6LP3EkwA8Xo5GZVzPAyb1mcQtRR6x6D9369esBOH78OMnJyRQUFFjsHz58uDVPJ4QQwtbqch46bTlT0uRlVL4MF28wGiA/C1y8TC2Mn06Cy7+jB1a3MN07OCEjC99+/6hxyELUFasmdImJiYwcOZKjR4+iKIp5os+igRIyylUIIRqYSid0Vuia1TnVvAwXH/h0Ipz4H/x1M5zaAZd/B+BL9yYkOTrgbTAwqUUkDHy85ucToo5YaTptkzlz5tC6dWsuXbqEq6srv/zyC7GxsfTo0YNdu3ZZ81RCCCHqgwc+Ao2D6T612qatxLx4ZXHyvPHY1ceUzAF8dB8c+A8AuYrCWi/TcTP8++J2by2MxhWiFlm1he7HH39k586d+Pn5odFo0Gg03H777axYsYI5c+ZUuDSYEEIIO9RmCCy+CHWxikJ1EzqdE+Rff+ziU+YhH3q486dOR4tCPfe2GVW98whhQ1ZtoTMYDLi5mdb78/X15cKFCwC0bNmSkydPWvNUQggh6ou6WhKrql2uAWGm/+cUm6TdofScqFc0Gv7jZRrM9+iVqzg2C6tuhELYjFUTurCwMI4cOQLAX/7yF1588UX27t3L8uXLCQ0NteaphBBC2BOdFVZaqGoLXVndpkrpr723vTzI1mi4Nb+A6DYjwUuWqRT2x6p/Vj311FPk5JjmA3r22We5++676devH02bNmXTpk3WPJUQQgh7Yo0lvqqa0JU1KtZgufrOeZ2WTzxMU5M8Nng1mtBh1Y1OCJuyagvd0KFDGT16NAChoaEcP36ctLQ0UlNTGTRokDVPVWdGjRqFt7c3Y8eOrdI+IYQQ190y6KarM1RKVRM6TRltFvo8i6f/9vKiUFH4S24evUOHQRnLVwphD6ya0JXFx8enzPVd7cWcOXN47733qrxPCCHEdS0irFOOrlhCd+8GaNqm4uPLaqEruGZ+eNLRga/dTEtVPnb5ql1/VwlR4y7XonVcK2PlypU1PV2di4yMLHfKlYr2CSFEozfrJzj5TfW6W33bQWEuZJyFfteX+yreQufdCnpOh+0VzBVXVgvdlUTzw9XeXqiKwrDsHDoNX1f1GIWoR2qc0FV2KpLa+MsnNjaWl156ifj4eFJSUtiyZQsjR460OGbt2rW89NJLpKSk0KlTJ1avXk2/fv2sHosQQogS/DuYfiqr30LY8zL0XwSDFpu2ZV0EtwDTY22xUa6qWv7KEUXKSuiyUgDY7+zED64u6FSVR69klH2sEHakxu/gonVcbSEnJ4euXbsyefJkxowZU2r/pk2bmDdvHmvXrqVv376sW7eO6Ohojh8/TkiIaRRTREQE+fn5pV777bffEhgYaJU48/PzLc6RmZlplXKFEKJBGfQUhP8VfIrNiuDe7Mbj4tOjaHQ3T+jK2a8Cq3y8ABiblU2IXg8abTWDFqJ+sOs/SaKjo4mOji53/8qVK5k6dSrTpk0DYPXq1ezYsYM33niDFStWABAfH1/rca5YsYJly5bV+nmEEMKuKQo0vaXiY/4yEzLOQbPOFt2nZdKUndDFuLpwzMkJF6ORGVeurwNbxnQmQtgTq7+D9+zZw/jx4+nduzfnz58H4P333+eHH36w9qkqVFBQQHx8PFFRURbbo6KiiIuLq9NYnnjiCTIyMsw/Z8+erdPzCyFEgxH9Atz/oSn58wiq+NgyWt0Kgdeut85NysjC13h9LVpJ6ISds+o7+PPPP2fo0KG4uLhw6NAhczdjVlYWzz//vDVPdVNpaWkYDAYCAgIstgcEBHDx4sVKlzN06FDuvfdetm3bRlBQED///HOl9hXn5OSEh4eHxY8QQoga8rjJbTFl3Lu9xd2NMw4O+BgMTMwodvuLIl2uwr5Ztcv12Wef5c0332TChAl88skn5u19+vRh+fLl1jxVpZUcjKGqapUGaOzYsaNa+4QQQtQyN//y9zl7ldp0TVFY6+UJwMwrGTRR1Rs7ZcoSYees2kJ38uRJ+vfvX2q7h4cHV69eteapbsrX1xetVluqNS41NbVUq50QQgg7pNFC26Fl75uxu9Sm9z3dSddpCS4sZKyhxLqw0uUq7JxV38HNmzfn9OnTpbb/8MMPdb6Wq6OjIxEREcTExFhsj4mJoU+fPnUaixBCiFry102w8DdYcOrGtk6jTPPUFXNZo2G9p+l2lzlXMnBwbWpZjoxyFXbOql2uM2bMYO7cubz77rsoisKFCxf48ccfWbhwIUuWLLHmqQDIzs62SCATExNJSEjAx8eHkJAQ5s+fz0MPPUSPHj3o3bs3b731FsnJycycOdPqsQghhLABRSmj67V09+nbXh7kaDR0zM8nKucaNC2R0EkLnbBzVk3oFi1aREZGBpGRkeTl5dG/f3+cnJxYuHAhs2fPtuapADhw4ACRkZHm50WrVkycOJENGzYwbtw40tPTWb58OSkpKYSFhbFt2zZatmxp9ViEEELUEyXuhzun0/KJhztgWuJLA1CyhU4SOmHnrD4P3XPPPcfixYs5fvw4RqORjh074ubmxvnz52nRooVVzzVw4EDU4je1lmHWrFnMmjXLqucVQghRn1kmdK97e6FXFPpcy6VX3vVJ3ksldNLlKuxbrfxJ4urqSo8ePbjtttvIzs7m0UcfpU2bmyyiLIQQQlhDsRa6E44ObHVrAsC8K8UG5zXxLfEaaaET9s0q7+CrV6/y4IMP4ufnR2BgIK+99hpGo5ElS5YQGhrKTz/9xLvvvmuNUwkhhBCV9qq3afqSO7Nz6FBQeGOHdLmKBsYqXa5PPvkksbGxTJw4ke3bt/PYY4+xfft28vLy+OabbxgwYIA1TiOEEEJUgqmF7qeUn9jr6oJOVZl9pcTUWa4lWug0ktAJ+2aVd/DWrVtZv349L7/8Ml999RWqqtKuXTt27twpyZwQQoi60fb6Uo+3PYxRNbIqfhUA4zKzCdYbLI91KTHxsLTQCTtnlRa6Cxcu0LFjRwBCQ0NxdnZm2rRp1ihaCCGEqJwHNsG1dHDz49vE7RxPP04TXRMevnqu9LGaEl9/ktAJO2eVd7DRaMTBwcH8XKvV0qRJE2sULYQQQlSORgNufhQaCnnt0GsATAqbhE+vEtNmeYaUnkhYRrkKO2eVFjpVVZk0aRJOTqalVPLy8pg5c2appO6LL76wxumEEEKIcn3222eczTpLU+emTOg4ATppTSNf975qOmD8Z5CdavkiaaETds4qCd3EiRMtno8fP94axQohhBBVklOYw5uH3wTgb13/hquDq2lHxxE3EjqNrnQCJwmdsHNWSejWr19vjWKEEEKIGnnvl/e4nHeZEPcQRrcbfWNH8S5Vja50l6us5SrsnPxJIoQQokFIy01jwy8bAJjTfQ4Omhv3dlu0wGkdymihK73+qxD2RBI6IYQQDcJbR97imv4aYU3DiGoZZblTU6KFruQgCOlyFXZO3sFCCCHs3tnMs3x68lMAHot4DKVUi1ux5xpd6YmEZZSrsHOS0AkhhLB7aw6tQa/q6duiL7c1v630AarxxmMZFCEaIHkHCyGEsGu/pP/CN0nfoKDwWPfHyjlKvfFQulxFAyTvYCGEEHZtdfxqAO4OvZv2Pu3LPkgtkdDJKFfRwEhCJ4QQwm7FXYjjp5SfcNA48Ei3R8o/ULpcRQMn72AhhBB2yagaza1z9996Py3cWpR/sLbYFCYajXS5igbHKhMLCyGEEHVte+J2Tlw+gZuDG9M7T6/4YP+OptUi3JqZnpccBSsJnbBzktAJIYSwO4WGQl479BoAU8Km4O3sXfELFAXue+/G85L3zElCJ+ycvIOFEELYnc2nNnM++zx+Ln482OHBqhcgXa6igZF3sBBCCLuSXZDNusPrAPhb+N9wdXCteiElEzgZ5SrsnCR0Qggh7MrG4xu5kn+FVh6tGNVmVPUKkS5X0cDIO1gIIYTdSMtNY+MvGwGY230uOk01bwWXLlfRwMg7WAghhN148/Cb5Opz6eLbhcEhg6tfUKl56KTLVdg3SeiEEELYhTOZZ/j81OcAzIuYh1Jy6pGqKDVtSQ3KEqIekIROCCGEXXjt4GvoVT39g/rTs1lP6xYuCZ2wc5LQCSGEqPeO/nmUb898i4LC3O5zbR2OEPWOJHRCCCHqNVVVWXVwFQD33HIP7bzb1bxQVx/QOde8HCHqCUnobmLUqFF4e3szduxYi+1ZWVn07NmT8PBwOnfuzNtvv22jCIUQomHbe2EvP1/8GUeNI7PDZ1uv4Hs3Wq8sIWxMErqbmDNnDu+9916p7a6uruzevZuEhAT27dvHihUrSE9Pt0GEQgjRcBlVI6viTa1zD9z6AM3dmluvcJmqRDQg8m6+icjISNzd3Utt12q1uLqaZifPy8vDYDCgqmpdhyeEEA3a1j+2curKKdwd3JnWeZp1C3fxsm55QtiQXSd0sbGx3HPPPQQGBqIoCl9++WWpY9auXUvr1q1xdnYmIiKCPXv2WO38V69epWvXrgQFBbFo0SJ8fX2tVrYQQjR2BYYCXj/0OgBTOk/By9nKCVhQT+g1C+582brlCmED1Zxiu37Iycmha9euTJ48mTFjxpTav2nTJubNm8fatWvp27cv69atIzo6muPHjxMSEgJAREQE+fn5pV777bffEhgYWOH5vby8OHz4MJcuXWL06NGMHTuWgICAUsfl5+dbnCMzM7OqlyqEEI3OppObuJBzAX9Xfx7s8KD1T6AoMGyF9csVwgbsOqGLjo4mOjq63P0rV65k6tSpTJtmaqZfvXo1O3bs4I033mDFCtOHOD4+vsZxBAQE0KVLF2JjY7n33ntL7V+xYgXLli2r8XmEEKKxyCrI4q0jbwHwSPgjuOhcbByREPWbXXe5VqSgoID4+HiioqIstkdFRREXF1fj8i9dumRuacvMzCQ2Npb27duXeewTTzxBRkaG+efs2bM1Pr8QQjRk64+t52r+VUI9Qxl+y3BbhyNEvWfXLXQVSUtLw2AwlOoCDQgI4OLFi5UuZ+jQoRw8eJCcnByCgoLYsmULPXv25Ny5c0ydOhVVVVFVldmzZ9OlS5cyy3BycsLJyalG1yOEEI3Fn9f+5P3j7wMwt/tcdJoG+1UlhNU0+E9JybX+VFWt0vp/O3bsKHN7REQECQkJNYpNCCFEaW8cfoM8Qx7hfuFEBkfaOhwh7EKD7XL19fVFq9WWao1LTU0tc+CCEEII20vMSOSL374A4LGIx6r0B7gQjVmDTegcHR2JiIggJibGYntMTAx9+vSxUVRCCCEqsubQGgyqgYHBA+ke0N3W4QhhN+y6yzU7O5vTp0+bnycmJpKQkICPjw8hISHMnz+fhx56iB49etC7d2/eeustkpOTmTlzpg2jFkIIUZbDfx4m5kwMGkXD3G5zbR2OEHbFrhO6AwcOEBl54/6K+fPnAzBx4kQ2bNjAuHHjSE9PZ/ny5aSkpBAWFsa2bdto2bKlrUIWQghRBlVVWR2/GoARt4ygjXcbG0ckhH1RVFmvqs5lZmbi6elJRkYGHh4etg5HCCFsLvZcLI989wiOGke2jt5KsybNbB2SEKXU5+/vBnsPnRBCCPtgVI28evBVAP7a4a+SzAlRDZLQCSGEsKmtf2zl1JVTuDm4MTVsqq3DEcIuSUInhBDCZvL0ebx26DUApnaeipezl40jEsI+SUInhBDCZj448QEXcy7SvElzxncYb+twhLBbktAJIYSwiYz8DN49+i4Aj3Z7FGeds40jEsJ+SUInhBDCJtYfW09WYRZtvdtyV+hdtg5HCLsmCZ0QQog6l5abxke/fgTAnG5z0CjydSRETcgnSAghRJ17+8jb5Opz6eLXhQFBA2wdjhB2TxI6IYQQdeqPq3+w+eRmwNQ6pyiKjSMSwv5JQieEEKJOvfDzC+hVPQODBvKX5n+xdThCNAiS0AkhhKgzx9KOEXchDp2iY9Fti2wdjhANhiR0Qggh6oSqqqxNWAvAnaF3EuwebOOIhGg4JKETQghRJ3Ym72TP+T3oNDpZ4ksIK5OETgghRK3LN+Sz+uBqACZ3mkyoV6iNIxKiYZGETgghRK3b+MtGkjKT8HH2YUrYFFuHI0SDIwmdEEKIWlVoLOS/p/8LwLzu83BzdLNxREI0PJLQCSGEqFUbjm0gOSsZV50rQ1oOsXU4QjRIktAJIYSoNRn5Gaw/th6Axb0W4+7obuOIhGiYJKETQghRa9YfW09WYRZtvdtyd+jdtg5HiAZLEjohhBC1Ii03jY9+/QiAR8MfRaPIV44QtUU+XUIIIWrF20feJlefSxffLgwMHmjrcIRo0CShE0IIYXXH0o7x6alPAXi0+6MoimLjiIRo2CShE0IIYVWqqvLC/hcoNBYyMGggvZr3snVIQjR4ktAJIYSwqq9+/4qEPxPQaXQs6b3E1uEI0ShIQieEEMJqCgwFvJ7wOgCzus7Cz9XPxhEJ0ThIQieEEMJqvvjtCy7mXMTfxZ8JnSbYOhwhGg1J6IQQQlhFviGft4+8DcD0LtNx0jrZOCIhGg9J6G5i1KhReHt7M3bs2FL7dDod4eHhhIeHM23aNBtEJ4QQ9cdnpz4jNTeVZk2aMbrtaFuHI0SjorN1APXdnDlzmDJlChs3biy1z8vLi4SEBBtEJYQQ9YveqGfjL6Z/J6d3no6j1tHGEQnRuEgL3U1ERkbi7i5rDwohREVeOfAKKTkpeDt5M6LNCFuHI0SjY9cJXWxsLPfccw+BgYEoisKXX35Z6pi1a9fSunVrnJ2diYiIYM+ePVY7f2ZmJhEREdx+++3s3r3bauUKIYQ9+SXtFz448QEAo9qOknvnhLABu+5yzcnJoWvXrkyePJkxY8aU2r9p0ybmzZvH2rVr6du3L+vWrSM6Oprjx48TEhICQEREBPn5+aVe++233xIYGFjh+ZOSkggMDOTYsWPcddddHD16FA8PD+tcnBBC2IHvznzHvF3zzM+ndp5qw2iEaLzsOqGLjo4mOjq63P0rV65k6tSp5gELq1evZseOHbzxxhusWLECgPj4+GqfvyjhCwsLo2PHjpw6dYoePXqUOi4/P98iaczMzKz2OYUQor7IKcyxSOb+2fufeDjKH7VC2IJdd7lWpKCggPj4eKKioiy2R0VFERcXV+Pyr1y5Yk7Szp07x/HjxwkNDS3z2BUrVuDp6Wn+CQ4OrvH5hRDC1nYk7bB4PjB4oG0CEULYdwtdRdLS0jAYDAQEBFhsDwgI4OLFi5UuZ+jQoRw8eJCcnByCgoLYsmULPXv25MSJE8yYMQONRoOiKLz66qv4+PiUWcYTTzzB/Pnzzc8zMzMlqRNC2LVdZ3fxz7h/mp9/eOeH+Lr42jAiIRq3BpvQFVEUxeK5qqqltlVkx44dZW7v06cPR48erVQZTk5OODnJTcJCiIbj0Z2Pmh/P7T6XLn5dbBiNEKLBdrn6+vqi1WpLtcalpqaWarUTQghRefkGy4FkAa7yb6oQttZgEzpHR0ciIiKIiYmx2B4TE0OfPn1sFJUQQti/36/+bvE8yD3IRpEIIYrYdZdrdnY2p0+fNj9PTEwkISEBHx8fQkJCmD9/Pg899BA9evSgd+/evPXWWyQnJzNz5kwbRi2EEPbtTOYZ8+PHez5OuF+4DaMRQoCdJ3QHDhwgMjLS/Lxo4MHEiRPZsGED48aNIz09neXLl5OSkkJYWBjbtm2jZcuWtgpZCCHsjqqqfJf8HcHuwRxNO8p3yd8BMKrNKMZ3HG/j6IQQAIqqqqqtg2hsMjMz8fT0JCMjQyYiFkLUe/tS9jHt22mlti+IWMCksEl1H5AQNlKfv7/tuoVOCCFE7fv18q8Wz9t4taFX816MajvKRhEJIUqShE4IIUSFSq7+MPyW4UwOm2yjaIQQZWmwo1yFEEJYh4vOxeK5TCAsRP0jLXRCCNGI5enzePKHJ4kMjuTu0Lt5bt9z+Lv6M+KWESyJW8KVvCucuHzC4jWS0AlR/0hCJ4QQjdimk5uIORNDzJkY2nm3Y9PJTYCpmzXuQul1rzWKhlu8bqnrMIUQNyFdrkII0Yil56WbH+cZ8syPr+RfASCsaZh5m6eTJ1+N/Ap/V/+6C1AIUSmS0AkhRGNWbOKq4rNYpeeaEr1Qr1Dztl7Ne9HSQ+bxFKI+koROCCEEYLlG6+W8ywB4O3mbtxmMhjqPSQhROZLQCSFEI6YWa6LLLsw2Py5qoWvi2MS8zaBKQidEfSUJnRBCCOBGq1zxx646V/M2SeiEqL8koRNCiEZMb9SbHxe1yhV/XHwOOulyFaL+koROCCEasVx9rvlx8YQuqzALsEzo9OqN5E8IUb/IPHQNiKqqqLm5GFUjeqMeB40DKioaxZS3G1UjAPmGAlRVRafRolW0GDGiU3QYVSOKopjLU1AoNBbiqHUkT59vfj2As84Jg2rAYDTiqHWg0KjHYDTgoNWhQYNBNeCodbQ4b6FRj1bRoKJSaNDjrHNCVVXyDQXmcp20jqjX/3PQOGBUjWgUjbkMg9Fgvh6tRku+oQDH68epqBQa9Thrncxx5xsK0CgKGjTm8zjrnDAYDRReb5lw1jmZz69RNBiMhuuv0+CodbA4v4JCrj4PJ60jRowYVRUF0Gl05uPy9Pk4Xb92RVFQUDCqRvINBbjonFFRMRgNGK/fu6RVNBQYCtEoGpx1TuQbCnAoVl7x32We/sZN6w5aHQ4aB/PvVIOCVqM1xwjgonNGURQKr5evuV7/RdeabyjAYDTg6uBi8ftVUMz1WRRLrj4PB43pfaJVtBa/t6L3UtG24tdfvP6KHhtUA4UGPTqNFrXo966q5Orz0Gm05vosev+oqopWo+VaYS5OWkcMqsF8jKqqFveBGVQDRlXFQaMzX4eCQoGxEN31GB21DuiuX4uCgqIoFtdfVKcKivk9kKvPQ1VVnLSOaDXaUu/N4tdmvH5c0THFFW3LNxSYruX6+63oPMXfi8WPMWI0/76Lf66K3ssuOmfyDQXm30XRe0BRFJy0juaWOMfrceXp83HWOZGdmYZTgan+rl69aH5cpIlea96mzSvEeO0aQtgLxcXF4nutIVPU4uPURZ3IzMzE09OTjIwMPDw8bv6CSvrpj9143jnTauUJIYQQ9qz9wXg0rq43P7CSauv72xqky7UBSctNs3UIQgghhLAB6XJtQLoE9+TI58+SZ8gjsEkgWQWZZBVm46x1BkxzTCkoRARE4Oviy+9XT5OWm4ZW0ZFRkEG+IR8HjYP5Phl3BzfcHT24nHeZW31upXmT5gBkF2ax/+LPeDp64u/qzy/pv3CrT3s8HD1IzEhCQUGraLmcbxoll2fIQ0GheZPm5m6fFu4tSMpIREGhm393U7euIZf9Kftx1DqiVXRkF2aTZ8jDWetsLsPfxZ8cfTZZBdm46Fzwc/EjJSeFQmMhTZ19CHYP4Y/M33F3MMXt5+Jnvu5bm7anwFDAzxcP0LxJczo17URWYSb7L/5MobEQBQUnrRNNdK50C+jOn9f+5EjaEZy0TuQb8lFRcXdqvGdXAAAQ4UlEQVRwo613O85nnUdFxel6926u/hr5hgIKjYV08evC6au/kZlvugfJSeuERtHQsWlHfrtyiqzCbILcgnB3cCOzIAuDaqCLbxcu5Fzg9NXT+Lr4cjHn4vUu5XwCmwSSWZBBnj6fns164OXkjaqqHEk7Yh6J2NI9hFx9Hmezz9LEwZVwv3AAEv5MQG804OnoyTV9Drn6PAyqARUVZ60zrTxa4uXsxeE/j5CnzzN10aMxd0c2a9KMc9nncNY60967PZeuXUKjaMjT55p/bwC/Xz1Nem463QK6o6oqP1/aT0Z+JgDOOmfz/GbOWtPj5q7NzfWUZ8jncl46GkVDuF8457PPk5R5BketIwoKeqOeQmMhLjoXOvh0ICUnBQWFi9cumrsPVVU1X1dgk0C8nDw5eeUUGkVDobEQN4cmeDh6kqfPJdy/G8fSjpFZkIneqDd3CxcYCszdswoK3QO6k6fP41j6MZy1znTw6YCPsw+HUg9yTZ9b6r3ppHUyffZcA/F28eb3q7+bjykuz5CHq84FH+empOWm4apzIdy/G0dSD3M5/wqKYrpmVwdXfJ19+TP3T1x1LmgVnfm+tuKfqxZuLbjFK5RDqYdo6dGKSzmXyNVfo5t/N5o4uJGWm0b8pXhaebREURTOZ19Ab9TT2a8zSRmJBDYJxMfFh58vHqDAUGD+nQIEubWgi18XsgqyOXn5JN0DupXqQhaiPlNcXG5+UAMhXa42UJ+bbIUQQghRtvr8/S1/agkhhBBC2DlJ6IQQQggh7JwkdEIIIYQQdk4SOiGEEEIIOycJnRBCCCGEnZOETgghhBDCzklCJ4QQQghh5yShE0IIIYSwc5LQCSGEEELYOUnohBBCCCHsnCR0QgghhBB2ThI6IYQQQgg7JwmdEEIIIYSd09k6gMZIVVUAMjMzbRyJEEIIISqr6Hu76Hu8PpGEzgbS09MBCA4OtnEkQgghhKiqrKwsPD09bR2GBUnobMDHxweA5OTkeveGsIXMzEyCg4M5e/YsHh4etg7HpqQuLEl9WJL6uEHqwpLUh6Xaqg9VVcnKyiIwMNBqZVqLJHQ2oNGYbl309PSUD14xHh4eUh/XSV1YkvqwJPVxg9SFJakPS7VRH/W1IUYGRQghhBBC2DlJ6IQQQggh7Jx26dKlS20dRGOk1WoZOHAgOp30eoPUR3FSF5akPixJfdwgdWFJ6sNSY6sPRa2PY2+FEEIIIUSlSZerEEIIIYSdk4ROCCGEEMLOSUInhBBCCGHnJKETQgghhLBzktAJIYQQQtg5SejqmbNnzzJw4EA6duxIly5d+PTTTy32jxo1Cm9vb8aOHWujCOteRde8atUqOnXqRMeOHZkzZ069XDDZ2iqqD51OR3h4OOHh4UybNs0G0dWt8uriZp+jxuDll1+mU6dOhIWF8cEHH9g6HJtLTEwkMjKSjh070rlzZ3Jycmwdkk1kZWXRs2dPwsPD6dy5M2+//batQ6pzX3/9Ne3bt6dt27a88847tg7HelRRr1y4cEE9dOiQqqqqeunSJbVFixZqdna2ef/OnTvVr776Sh0zZoytQqxz5V1zamqqGhoaqubm5qp6vV7t06ePGhcXZ6Mo605F74GmTZvaICLbKa8ubvY5auiOHDmiduvWTc3NzVVzc3PVPn36qFeuXLF1WDbVv39/NTY2VlVVVU1PT1cLCwttHJFt6PV6NScnR1VVVc3JyVFbt26tpqWl2TiqulNYWKi2bdtWPXfunJqZmam2adNGTU9Pt3VYViEtdPVM8+bNCQ8PB8Df3x8fHx8uX75s3h8ZGYm7u7utwrOJiq5Zr9eTl5dHYWEhhYWF+Pv713F0da8xvgfKU15d3Oxz1NCdOHGCPn364OzsjLOzM+Hh4Wzfvt3WYdnML7/8goODA/369QPAx8en0Uw2W5JWq8XV1RWAvLw8DAZDo+jZKLJ//346depEixYtcHd3584772THjh22DssqJKGrotjYWO655x4CAwNRFIUvv/yy1DFr166ldevWODs7ExERwZ49e6p1rgMHDmA0GgkODq5p2LWmLuujJD8/PxYuXEhISAiBgYEMGTKEW265xSplV5ct6wMgMzOTiIgIbr/9dnbv3m21cqvD1nVRpD5+jmq7bsLCwvj++++5evUqV69eZefOnZw/f96al2BVtV0fv/32G25ubgwfPpzu3bvz/PPPWzN8q6qLz83Vq1fp2rUrQUFBLFq0CF9fX2uFX+tqWj8XLlygRYsW5udBQUH1+rNRFZLQVVFOTg5du3bl9ddfL3P/pk2bmDdvHosXL+bQoUP069eP6OhokpOTzcdEREQQFhZW6ufChQvmY9LT05kwYQJvvfVWrV9TTdRVfZTlypUrfP311yQlJXH+/Hni4uKIjY216vVVlS3rAyApKYn4+HjefPNNJkyYQGZmptWurapsXRdQfz9HtV03RfeUDho0iFGjRtGzZ8963SJV2/VRWFjInj17+Pe//82PP/5ITEwMMTExdXV5VVIXnxsvLy8OHz5MYmIiH330EZcuXaqTa7OGmtZPWa2RiqLUasx1xtZ9vvYMULds2WKx7bbbblNnzpxpse3WW29V//GPf1S63Ly8PLVfv37qe++9V+b+77//vl7eQ1db9aGqZV/z5s2b1VmzZpmfv/jii+oLL7xQxahrT13XR0nDhg1Tf/755yqVW1tsURc3+xzVF7VZN0WmTp2qfv3119WOsS7VRn3ExcWpQ4cONT9/8cUX1RdffLHmwdayunhvzJw5U928eXO1Y7Sl6tTP3r171ZEjR5r3zZkzR/3www9rP9g6IC10VlRQUEB8fDxRUVEW26OiooiLi6tUGaqqMmnSJAYNGsRDDz1UG2HWGWvUR0WCg4OJi4sz3weya9cu2rdvX+Nya0tt18eVK1fIz88H4Ny5cxw/fpzQ0NAal1sbarsu7PlzZK26SU1NBeDkyZPs37+foUOHWjXOumKN+ujZsyeXLl3iypUrGI1GYmNj6dChQ22EW6usUReXLl0yt9xnZmYSGxtbr//drIrK1M9tt93GsWPHOH/+PFlZWWzbts1uPxsl1d82eDuUlpaGwWAgICDAYntAQAAXL16sVBl79+5l06ZNdOnSxXxvwPvvv0/nzp0BGDp0KAcPHiQnJ4egoCC2bNlCz549rXshVmKN+oDyr7lXr17ceeeddOvWDY1Gw+DBgxk+fLi1L8Nqars+Tpw4wYwZM9BoNCiKwquvvoqPj4+1L8MqarsubvY5qs+sVTcjR47k6tWrNGnShPXr19frLteKWKM+dDodzz//PP3790dVVaKiorj77rtrI9xaZY26OHfuHFOnTkVVVVRVZfbs2XTp0qU2wq1zlakfnU7HK6+8QmRkJEajkUWLFtG0aVNbhGt19vkJr+dK9serqlrpPvrbb78do9FY7n57HI1Tk/qAiq/5ueee47nnnqt2bLZQW/XRp08fjh49WqPY6lpt1cXNPkf2oKZ1Y42WzvqkpvURHR1NdHS0tcOyiZrURUREBAkJCbURVr1xs/oZPnx4vf7jv7qky9WKfH190Wq1pf5SSk1NLfUXQ2Mg9WFJ6uMGqYvySd1Ykvq4QeqiYo29fiShsyJHR0ciIiJKjZ6KiYmhT58+NorKdqQ+LEl93CB1UT6pG0tSHzdIXVSssdePdLlWUXZ2NqdPnzY/T0xMJCEhAR8fH0JCQpg/fz4PPfQQPXr0oHfv3rz11lskJyczc+ZMG0Zde6Q+LEl93CB1UT6pG0tSHzdIXVRM6qcCNhlba8e+//57FSj1M3HiRPMx//73v9WWLVuqjo6Oavfu3dXdu3fbLuBaJvVhSerjBqmL8kndWJL6uEHqomJSP+VTVLURrfkhhBBCCNEAyT10QgghhBB2ThI6IYQQQgg7JwmdEEIIIYSdk4ROCCGEEMLOSUInhBBCCGHnJKETQgghhLBzktAJIYQQQtg5SeiEEEIIIeycJHRCCCGEEHZOEjohhBBCCDsnCZ0QQgghhJ2ThE4IIWrRwIEDmTdvXp2fd8GCBdxzzz11fl4hhG3obB2AEELUhoEDBxIeHs7q1attGscXX3yBg4NDnZ83ISGB3r171/l5hRC2IS10QghRi3x8fHB3d6/z8x4+fJiuXbvW+XmFELYhCZ0Qwm599tlndO7cGRcXF5o2bcqQIUPIyclh0qRJ7N69m1dffRVFUVAUhaSkJFRV5cUXXyQ0NBQXFxe6du3KZ599ZlHmwIEDmT17NrNnz8bLy4umTZvy1FNPoapqleMoKq+oyzUpKckcT/GfgQMHAlQqvso4e/Ys6enpaDQa7rjjDlxdXWnfvj379u2rcllCCPsgCZ0Qwi6lpKTwwAMPMGXKFE6cOMGuXbsYPXo0qqry6quv0rt3b6ZPn05KSgopKSkEBwfz1FNPsX79et544w1++eUXHnvsMcaPH8/u3bstyt64cSM6nY59+/bx2muvsWrVKt55550qx1FScHCwOZ6UlBQOHTpE06ZN6d+/P0Cl47uZhIQEANasWcMTTzzB4cOHCQkJ4R//+EeVyhFC2A+5h04IYZdSUlLQ6/WMHj2ali1bAtC5c2fzfkdHR1xdXWnWrBkAOTk5rFy5kp07d5rvLQsNDeWHH35g3bp1DBgwwPza4OBgVq1ahaIotG/fnqNHj7Jq1SqmT59e5TiK02q15njy8vIYOXIkvXv3ZunSpVWK72YSEhLw9vZm8+bN+Pv7AzBy5EjeeOONSpchhLAvktAJIexS165dGTx4MJ07d2bo0KFERUUxduxYvL29yzz++PHj5OXlcccdd1hsLygooFu3bhbbevXqhaIo5ue9e/fmlVdewWAwoNVqaxRHkalTp5KVlUVMTAwajaZK8d1MQkICI0aMMCdzAH/88Qdt2rSpUjlCCPshCZ0Qwi5ptVpiYmKIi4vj22+/Zc2aNSxevJh9+/bRunXrUscbjUYAtm7dSosWLSz2OTk51VkcAM8++yzbt29n//795gET1owvISGBxx9/3GLboUOHzF27QoiGR+6hE0LYLUVR6Nu3L8uWLePQoUM4OjqyZcsWwNTlajAYzMd27NgRJycnkpOTadOmjcVPcHCwRbk//fRTqedt27Yt1TpXmThK+vzzz1m+fDmbN2/mlltuqVZ8FcnKyiIxMbFUq15CQgLh4eGVLkcIYV+khU4IYZf27dvHd999R1RUFP7+/uzbt48///yTDh06ANCqVSv27dtHUlISbm5u+Pj4sHDhQh577DGMRiO33347mZmZxMXF4ebmxsSJE81lnz17lvnz5zNjxgwOHjzImjVreOWVV6oVR3HHjh1jwoQJPP7443Tq1ImLFy8CpuSzKvFVJCEhAY1GY3Ef35kzZ7hy5YokdEI0ZKoQQtih48ePq0OHDlX9/PxUJycntV27duqaNWvM+0+ePKn26tVLdXFxUQE1MTFRNRqN6quvvqq2b99edXBwUP38/NShQ4equ3fvNr9uwIAB6qxZs9SZM2eqHh4eqre3t/qPf/xDNRqN1YpjwIAB6ty5c1VVVdX169erQKmfAQMGqKqqViq+ojLKs2bNGrVTp04W27Zs2aJ6eXlVvnKFEHZHUdUKJlcSQohG5v/bu2MbAEIYCIKUTguU48wZbX0FH+OTZiq4cCVLMOWHiT9779Xdq7tfTwEGcXIFCFJV65zzegYwjKADCHLvfT0BGMjJFQAgnGdLAADCCToAgHCCDgAgnKADAAgn6AAAwgk6AIBwgg4AIJygAwAIJ+gAAMIJOgCAcB9o+WMN7Meg3AAAAABJRU5ErkJggg==", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject Text(0.5, 1, 'There are even better alternatives to complex-step differentiation')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using DualNumbers\n", "dual_step_method(f, x, h) = dualpart(f(x + ε))\n", "push!(numerical_schemes, dual_step_method)\n", "plot(step_sizes, [relative_error(m, 𝑓, ∇𝑓, x, h) for h in step_sizes, m in numerical_schemes])\n", "loglog(), legend(string.(numerical_schemes)), xlabel(\"step size, \\$h\\$\"), ylabel(\"Relative Error, \\$\\\\frac{|\\\\bullet - \\\\nabla f(x)|}{|\\\\nabla f(x)|}\\$\")\n", "title(\"There are even better alternatives to complex-step differentiation\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Just like complex identify with $\\mathbb{R}[X]/(X^2+1)$,
\n", "dual numbers identify with $\\mathbb{R}[X]/(X^2)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The gradient of the objective function can be computed in $m$ dual evaluations of the objective function, via\n", "\n", "$$\\nabla\\hat{f}(\\boldsymbol{p}) = \\mathfrak{D} \\left( \\left[\\begin{matrix}\n", "\t\t\\hat{f}(\\boldsymbol{p} + \\varepsilon \\boldsymbol{e}_1) \\\\\n", "\t\t\\hat{f}(\\boldsymbol{p} + \\varepsilon \\boldsymbol{e}_2) \\\\\n", "\t\t\\vdots \\\\\n", " \\hat{f}(\\boldsymbol{p} + \\varepsilon \\boldsymbol{e}_{m})\n", " \\end{matrix} \\right]^\\mathsf{T} \\right)$$\n", " \n", "where $m$ is the number of parameters." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "For second derivatives, we can use hyperdual numbers.
\n", "Let $\\varepsilon_1$ and $\\varepsilon_2$ be the hyperdual units defined by $\\varepsilon_1^2 = \\varepsilon_2^2 = 0$ but $\\varepsilon_1 \\varepsilon_2 \\ne 0$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let $\\boldsymbol{p}_{jk} = \\boldsymbol{p} + \\varepsilon_1 \\boldsymbol{e}_j + \\varepsilon_2 \\boldsymbol{e}_k$, for which the Taylor expansion of $\\hat{f}$ is\n", "\n", "$$\\hat{f}(\\boldsymbol{p}_{jk})\n", " = \\hat{f}(\\boldsymbol{p})\n", " + \\varepsilon_1 \\nabla\\hat{f}(\\boldsymbol{p}) \\boldsymbol{e}_j\n", " + \\varepsilon_2 \\nabla\\hat{f}(\\boldsymbol{p}) \\boldsymbol{e}_k\n", " + \\varepsilon_1 \\varepsilon_2 \\underbrace{\\boldsymbol{e}_j^\\mathsf{T} \\nabla^2\\hat{f}(\\boldsymbol{p}) \\boldsymbol{e}_k}_{?}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Taking the \"hyperdual\" part gives the second derivative:\n", "\n", "$$\\boldsymbol{e}_j^\\mathsf{T} \\nabla^2\\hat{f}(\\boldsymbol{p}) \\boldsymbol{e}_k = \\mathfrak{H}\\left[\\hat{f}(\\boldsymbol{p}_{jk})\\right]$$\n", "\n", "where $\\mathfrak{H}$ stands for hyperdual part (the $\\varepsilon_1 \\varepsilon_2$ coefficient)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Hyperdual steps also give very accurate derivatives!" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAHNCAYAAADCJQWxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOzdeVxN+RsH8M/pti9KaS9FU8mWmCwRMmjKMrZhGJLsWYbs+67BWAZD4zcq62CMXaIhe5aQNVtKqKxTKVrv+f3R3KPbvbfu2lWe9+vVi3vO93zPc87t1tN3OwzLsiwIIYQQQojSaKg7AEIIIYSQ6oYSLEIIIYQQJaMEixBCCCFEySjBIoQQQghRMkqwCCGEEEKUjBIsQgghhBAlowSLEEIIIUTJKMEihBBCCFEySrAIIYQQQpSMEizy2YiMjATDMIiPjxe7v2vXrnB0dKzcoORw+vRpMAzDfWlra8Pc3BytW7fGrFmz8PTp00qJIzAwUKr7FRgYCIZh0KBBAxQXF4vsZxgGY8eOVUGEFZs/fz4YhsGbN2/Ucn5ZzJ49G7Vr14ampiZMTEzUHU6V5ejoiMDAQLmOTUlJAcMwiIyMVGpMgp9NKSkpSq23tKioKMyfP1/sPkXuCVEfSrAIUZGlS5ciLi4OsbGx2Lx5M9q3b4/w8HC4ublhx44d6g5PxL1795T+i+lLcfDgQSxZsgQBAQE4c+YM/vnnH3WHRJSoS5cuiIuLg7W1tcrOERUVhQULFojdt3//fsyZM0dl5yaqoanuAAipLgoLC8EwDPfa2dkZLVu25F53794dkyZNQseOHREYGIjGjRujUaNG6ghVhIGBAZo2bYp58+ZhwIAB0NPTU3dIlerDhw/Q19eX+/g7d+4AAMaPHw8LC4vPIiaiuI8fP0JXVxfm5uYwNzdXWxweHh5qOzeRH7VgkSrrm2++Qb169VD2eeUsy+Krr75Cly5dAHzqNli+fDmWLFmC2rVrQ1dXF19//TVOnjwpUu+jR48wYMAAWFhYQEdHB25ubvjtt9+Eygi6Abdt24ZJkybB1tYWOjo6ePz4cbkxm5qa4vfff0dRURFWr17NbZfUnSfoIivtt99+Q9u2bWFhYQEDAwM0atQIy5cvR2FhYbnnrsiyZcvw4sUL/Prrr+WWk9RdIrgnp0+f5ra1b98eDRs2RFxcHLy8vKCnpwdHR0dEREQAAI4ePYqmTZtCX18fjRo1QnR0tNhzPnv2DL169UKNGjVgbGyMgQMH4vXr1yLldu/ejVatWsHAwACGhobw9fXFjRs3hMoEBgbC0NAQt2/fRufOnWFkZIRvvvkGAHDjxg107dqVe+9tbGzQpUsXPH/+XOL9cHR0xOzZswEAlpaWYBiG6+rh8/lYvnw56tWrBx0dHVhYWCAgIECkPsF9Onv2LLy8vKCvr4+goCCJ53zy5Al++OEH2NjYQEdHB5aWlvjmm2+QkJAg8/0AgMuXL6Nbt24wMzODrq4unJycMGHCBKEy58+fxzfffAMjIyPo6+vDy8sLR48eFSoj+N6IjY3F6NGjUatWLZiZmaFXr15IS0sTKltYWIipU6fCysoK+vr6aNOmDa5cuSLxmstKS0tD3759YWRkBGNjY/Tr1w8ZGRliy8bHx6N79+4wNTWFrq4uPDw8sGfPHrGxnzhxAkFBQTA3N4e+vj7y8/NFvucnTJgAAwMDZGdni5yrX79+sLS05D6Pu3fvRufOnWFtbQ09PT24ublh+vTpyM3N5Y4JDAzkfsaUHl4gOF/pLsLXr19DW1tbbIvW/fv3wTAM1q5dy23LyMjAyJEjYWdnB21tbdSpUwcLFixAUVGR0LEbN26Eu7s7DA0NYWRkhHr16mHmzJnlvAOkIpRgkc9OcXExioqKRL7KJlI//fQTHjx4IJIkHTt2DElJSRgzZozQ9vXr1yM6Ohpr1qzB9u3boaGhAT8/P8TFxXFl7t27B09PT9y5cwcrV67EkSNH0KVLF4wfP15s8/2MGTOQmpqKsLAwHD58WKrWC09PT1hbW+Ps2bOy3BZOUlISBgwYgG3btuHIkSMYOnQoVqxYgZEjR8pVn0CrVq3Qs2dPLFu2DO/evVOortIyMjIwZMgQDBs2DAcPHkSjRo0QFBSEhQsXYsaMGZg6dSr+/vtvGBoaokePHiK/iAGgZ8+e+Oqrr7B3717Mnz8fBw4cgK+vr1BSuXTpUvTv3x/169fHnj17sG3bNrx//x7e3t64d++eUH0FBQXo3r07OnTogIMHD2LBggXIzc1Fp06d8PLlS/z222+IiYnBmjVrULt2bbx//17i9e3fvx9Dhw4FAERHRyMuLg7Dhg0DAIwePRrTpk1Dp06dcOjQISxatAjR0dHw8vISGVeWnp6OgQMHYsCAAYiKikJwcLDEc/r7++PatWtYvnw5YmJisHHjRnh4eCAzM1Pm+3H8+HF4e3sjNTUVq1atwrFjxzB79my8fPmSK3PmzBl06NABWVlZ2Lx5M/78808YGRmhW7du2L17t0h8w4YNg5aWFnbu3Inly5fj9OnTGDhwoFCZ4cOH45dffkFAQAAOHjyI3r17o1evXvj3338lXrfAx48f0bFjR5w4cQKhoaH466+/YGVlhX79+omUjY2NRevWrZGZmYmwsDAcPHgQTZo0Qb9+/cR2iQcFBUFLSwvbtm3D3r17oaWlJbbMhw8fRJK0zMxMHDx4EAMHDuSOe/ToEfz9/bF582ZER0djwoQJ2LNnD7p168YdN2fOHPTp0wcAEBcXx32J65I0NzdH165dsWXLFvD5fKF9ERER0NbWxo8//gig5LPXvHlzHD9+HHPnzsWxY8cwdOhQhIaGYvjw4dxxu3btQnBwMNq1a4f9+/fjwIEDmDhxolASSOTAEvKZiIiIYAGU++Xg4MCVLy4uZuvWrct+9913QvX4+fmxTk5OLJ/PZ1mWZZOTk1kArI2NDfvx40euXHZ2Nmtqasp27NiR2+br68va2dmxWVlZQnWOHTuW1dXVZd+9e8eyLMvGxsayANi2bduKXIdg319//SXxWlu0aMHq6elxrwcPHix0bQLz5s1jy/uYFhcXs4WFhezWrVtZHo/HxVdenWUNHjyYNTAwYFmWZe/fv8/yeDx20qRJ3H4A7JgxY7jXgvcpOTlZqB7BdcfGxnLb2rVrxwJg4+PjuW1v375leTweq6enx7548YLbnpCQwAJg165dK3L9EydOFDrXjh07WADs9u3bWZZl2dTUVFZTU5MdN26cULn379+zVlZWbN++fYWuFwAbHh4uVDY+Pp4FwB44cKDc+yWOIM7Xr19z2xITE1kAbHBwsFDZy5cvswDYmTNnctsE9+nkyZMVnuvNmzcsAHbNmjUSy8hyP5ycnFgnJyehz0ZZLVu2ZC0sLNj3799z24qKitiGDRuydnZ23GdN8L1R9pqXL1/OAmDT09NZlv10byS9r4MHDy73HmzcuJEFwB48eFBo+/Dhw1kAbEREBLetXr16rIeHB1tYWChUtmvXrqy1tTVbXFwsFHtAQIDI+cR9zzdt2pT18vISKrdhwwYWAHv79m2xcfP5fLawsJA9c+YMC4C9efMmt2/MmDESP+sODg5C9+TQoUMsAPbEiRPctqKiItbGxobt3bs3t23kyJGsoaEh+/TpU6H6fvnlFxYAe/fuXZZlS36+mZiYiD03kR+1YJHPztatW3H16lWRrzZt2giV09DQwNixY3HkyBGkpqYCKGndiY6ORnBwsEjXWq9evaCrq8u9FvwFfvbsWRQXFyMvLw8nT55Ez549oa+vL9R65u/vj7y8PFy6dEmozt69e8t1jWyZ1jhZ3LhxA927d4eZmRl4PB60tLQQEBCA4uJiPHz4UO56AcDV1RVDhw7F+vXruXuqKGtrazRr1ox7bWpqCgsLCzRp0gQ2Njbcdjc3NwAQO8tS8Be5QN++faGpqYnY2FgAJa0wRUVFCAgIEHrfdHV10a5dO6FuS4Gy791XX32FmjVrYtq0aQgLCxNp9ZKVILays7+aN28ONzc3kZbXmjVrokOHDhXWa2pqCicnJ6xYsQKrVq3CjRs3RFoypL0fDx8+RFJSEoYOHSr02SgtNzcXly9fRp8+fWBoaMht5/F4GDRoEJ4/f44HDx4IHdO9e3eh140bNwbw6b0V3BtJ72tFYmNjYWRkJHKeAQMGCL1+/Pgx7t+/z52n7Gc6PT1dJHZpP9NDhgzBxYsXhY6PiIiAp6cnGjZsyG178uQJBgwYACsrK+7z2q5dOwBAYmKiVOcqy8/PD1ZWVlxXO1DynqelpQl1LR85cgQ+Pj6wsbERunY/Pz8AJS2TQMn3ZGZmJvr374+DBw9WiVm7VQElWOSz4+bmhq+//lrky9jYWKRsUFAQ9PT0EBYWBqBkfJKenp7Y8StWVlZitxUUFCAnJwdv375FUVER1q1bBy0tLaEvf39/ABD5wSPvrKLU1FSh5EKW47y9vbmxUufOncPVq1e58RsfP36UK57S5s+fDx6Pp7RZS6ampiLbtLW1RbZra2sDAPLy8kTKl33vNDU1YWZmhrdv3wIA153l6ekp8t7t3r1b5H3T19dHjRo1hLYZGxvjzJkzaNKkCWbOnIkGDRrAxsYG8+bNk2t8myA2cd8jNjY23H4Bab+XGIbByZMn4evri+XLl6Np06YwNzfH+PHjua5Mae+HYBybnZ2dxPP9+++/YFlW4nWUvlYBMzMzodc6OjoAPn1/CspLel8r8vbtW1haWopsL1uf4D5MnjxZ5D4IumDl/Uz/+OOP0NHR4boZ7927h6tXr2LIkCFcmZycHHh7e+Py5ctYvHgxTp8+jatXr2Lfvn0A5P+8ampqYtCgQdi/fz/XLRwZGQlra2v4+voKXf/hw4dFrr1BgwZC1z5o0CCEh4fj6dOn6N27NywsLNCiRQvExMTIFR8pQbMISZVmbGyMwYMH448//sDkyZMRERGBAQMGiF2HSNwA2IyMDGhra8PQ0BBaWlrcX+Vlx28J1KlTR+h12VYyaVy5cgUZGRncuB0A0NXVRX5+vkjZsj/8Dxw4gNzcXOzbtw8ODg7c9rKDmxVhbW2NCRMm4Oeff8akSZNE9gtaOsrGq8q/ejMyMmBra8u9Lioqwtu3b7lfxrVq1QIA7N27V+i+SCLpfWvUqBF27doFlmVx69YtREZGYuHChdDT08P06dNlilkQW3p6ukgCk5aWxsVcUUziODg4YPPmzQBKWqH27NmD+fPno6CgAGFhYVLfD8HMuPIG8desWRMaGhpIT08X2ScYL1f2WioiuDeS3ldpjhc3IL7sZ1wQ14wZM9CrVy+xdbm6ugq9lvZ9qFmzJr777jts3boVixcvRkREBHR1ddG/f3+uzKlTp5CWlobTp09zrVYAhMbKyWvIkCFYsWIFdu3ahX79+uHQoUOYMGECeDweV6ZWrVpo3LgxlixZIraO0n/kDRkyBEOGDEFubi7Onj2LefPmoWvXrnj48KFUnykiihIsUuWNHz8eGzZsQJ8+fZCZmSlxUcx9+/ZhxYoVXILw/v17HD58GN7e3uDxeNDX14ePjw9u3LiBxo0bcy0qyvTu3TuMGjUKWlpamDhxIrfd0dERr169wsuXL7m/zAsKCnD8+HGh4wU//AUtAkBJd+P//vc/pcY5bdo0bNq0SWxSIZjteOvWLaFfTocOHVJqDKXt2LFDqJtxz549KCoqQvv27QEAvr6+0NTURFJSktzdtqUxDAN3d3esXr0akZGRuH79usx1CLr7tm/fDk9PT2771atXkZiYiFmzZikcJwC4uLhg9uzZ+Pvvv7k4pb0fLi4ucHJyQnh4OEJCQoS+rwQMDAzQokUL7Nu3D7/88gu3hAefz8f27dthZ2cHFxcXmWIWvG+S3teK+Pj4YM+ePTh06JBQN+HOnTuFyrm6usLZ2Rk3b97E0qVLZYpRGkOGDMGePXsQFRWF7du3o2fPnkJ/3In7vALA77//LlJX6VY+aZZJcXNzQ4sWLRAREYHi4mLk5+cLtZ4BJYszR0VFwcnJCTVr1pTqmgwMDODn54eCggL06NEDd+/epQRLTpRgkSrPxcUF3377LY4dO4Y2bdrA3d1dbDkej4dOnTohJCQEfD4fy5YtQ3Z2ttDswF9//RVt2rSBt7c3Ro8eDUdHR7x//x6PHz/G4cOHcerUKanjevToES5dugQ+n4+3b9/i8uXL2Lx5M7Kzs7F161aumR4omdo9d+5c/PDDD5gyZQry8vKwdu1akZXVO3XqBG1tbfTv3x9Tp05FXl4eNm7cKNXMK1nUqFEDs2bNEkoCBTw9PeHq6orJkyejqKgINWvWxP79+3H+/HmlxlDavn37oKmpiU6dOuHu3buYM2cO3N3d0bdvXwAlSd/ChQsxa9YsPHnyBN9++y1q1qyJly9f4sqVKzAwMJC4iKPAkSNHsGHDBvTo0QN169YFy7LYt28fMjMz0alTJ5ljdnV1xYgRI7Bu3TpuxmpKSgrmzJkDe3t7sfdWGrdu3cLYsWPx/fffw9nZGdra2jh16hRu3brFJcSy3I/ffvsN3bp1Q8uWLTFx4kTUrl0bqampOH78OLcgbmhoKDp16gQfHx9MnjwZ2tra2LBhA+7cuYM///xT5pZcNzc3DBw4EGvWrIGWlhY6duyIO3fu4JdffhHpuhUnICAAq1evRkBAAJYsWQJnZ2dERUWJ/EEClCQzfn5+8PX1RWBgIGxtbfHu3TskJibi+vXr+Ouvv2SKvbTOnTvDzs4OwcHB3GzZ0ry8vFCzZk2MGjUK8+bNg5aWFnbs2IGbN2+K1CVYE2/ZsmXw8/MDj8er8A+9oKAgjBw5EmlpafDy8hJpjVu4cCFiYmLg5eWF8ePHw9XVFXl5eUhJSUFUVBTCwsJgZ2eH4cOHQ09PD61bt4a1tTUyMjIQGhoKY2NjoT8OiIzUOsSekFIEM3WuXr0qdn+XLl0kzoqLjIxkAbC7du0S2SeYRbhs2TJ2wYIFrJ2dHautrc16eHiwx48fF1s+KCiItbW1ZbW0tFhzc3PWy8uLXbx4MVemvJmCgn2CL01NTdbMzIxt1aoVO3PmTDYlJUXsNURFRbFNmjRh9fT02Lp167Lr168XO4vw8OHDrLu7O6urq8va2tqyU6ZMYY8dOyYyg0+eWYSl5efns3Xq1BGZRciyLPvw4UO2c+fObI0aNVhzc3N23Lhx7NGjR8XOImzQoIFI3Q4ODmyXLl1Etpc9l+D6r127xnbr1o01NDRkjYyM2P79+7MvX74UOf7AgQOsj48PW6NGDVZHR4d1cHBg+/Tpw/7zzz8VXu/9+/fZ/v37s05OTqyenh5rbGzMNm/enI2MjBR/40oRN4uQZUtmeS5btox1cXFhtbS02Fq1arEDBw5knz17JlRO0n0S5+XLl2xgYCBbr1491sDAgDU0NGQbN27Mrl69mi0qKpL5frAsy8bFxbF+fn6ssbExq6Ojwzo5OYnM8Dt37hzboUMH1sDAgNXT02NbtmzJHj58WKiMpM+wuBmm+fn57KRJk1gLCwtWV1eXbdmyJRsXFycyY06S58+fs7179+a+J3r37s1evHhRZBYhy7LszZs32b59+7IWFhaslpYWa2VlxXbo0IENCwurMPbS+8rOnGVZlp05cyYLgLW3t+dmJJZ28eJFtlWrVqy+vj5rbm7ODhs2jL1+/bpInPn5+eywYcNYc3NzlmEYofNJuidZWVmsnp4eC4D93//+J/Y+vX79mh0/fjxbp04dVktLizU1NWWbNWvGzpo1i83JyWFZlmW3bNnC+vj4sJaWlqy2tjZrY2PD9u3bl71165bYOol0GJZVYDoTIZ+J3r1749KlS0hJSRFZtyYlJQV16tTBihUrMHnyZDVFSAgh5EtCXYSkysrPz8f169dx5coV7N+/H6tWrRK7KCAhhBBS2SjBIlVWeno6vLy8UKNGDYwcORLjxo1Td0iEEEIIAIC6CAkhhBBClIwWGiWEEEIIUTJKsAghhBBClIwSLEIIIYQQJaNB7mrA5/ORlpYGIyMjuR61QgghhJDKx7Is3r9/DxsbG2holN9GRQmWGqSlpcHe3l7dYRBCCCFEDs+ePSv3IekAJVhqYWRkBKDkDZLmsRCEEEIIUb/s7GzY29tzv8fLQwmWGgi6BWvUqEEJFiGEEFLFSDO8hwa5E0IIIYQoGSVYhBBCCCFKRl2EhBBSBfH5fBQUFKg7DEKqHW1t7QpnCEqDEixCCKliCgoKkJycDD6fr+5QCKl2NDQ0UKdOHWhraytUDyVYhBBShbAsi/T0dPB4PNjb2yvlL21CSAnBOpXp6emoXbu2QmtVUoJFCCFVSFFRET58+AAbGxvo6+urOxxCqh1zc3OkpaWhqKgIWlpactdDf/oQQkgVUlxcDAAKd18QQsQTfLYEnzV5UYJFCCFVED1mixDVUNZnixIsQgghhBAlowSLEEIIIUTJKMEihBCicizLYsSIETA1NQXDMDAxMcGECROkPj4lJQUMwyAhIUGFUYo6ffo0GIZBZmYmACAyMhImJiZCZTZt2sTN6FyzZo3EbeTLQgkWIYQQlYuOjkZkZCSOHDmC9PR0PHz4EIsWLZL6eHt7e6Snp6Nhw4YARBOfytKvXz88fPiQe52dnY2xY8di2rRpePHiBUaMGCF225cqNDQUnp6eMDIygoWFBXr06IEHDx6oO6xKQQkWIXK6/TwLU/66icev3qs7FEI+e0lJSbC2toaXlxesrKxgYWEBIyMjqY/n8XiwsrKCpqZ6VxfS09ODhYUF9zo1NRWFhYXo0qULrK2toa+vL3abPAoLC5UVttqcOXMGY8aMwaVLlxATE4OioiJ07twZubm56g5N5SjBIkROW+JS8Ne15+gTFocbqf+qOxzyhWJZFh8KitTyxbKsVDEGBgZi3LhxSE1NBcMwcHR0RPv27YW6CB0dHbF06VIEBQXByMgItWvXxqZNm7j9pbsIU1JS4OPjAwCoWbMmGIZBYGAgdz+WL1+OunXrQk9PD+7u7ti7d6/U9zMqKgouLi7Q09ODj48PUlJShPaX7iKMjIxEo0aNAAB169YFwzBitwnqOHz4MJo1awZdXV3UrVsXCxYsQFFREVc3wzAICwvDd999BwMDAyxevBgAcO/ePfj7+8PQ0BCWlpYYNGgQ3rx5wx3Xvn17jB8/HlOnToWpqSmsrKwwf/58obgzMzMxYsQIWFpaQldXFw0bNsSRI0e4/RcvXkTbtm2hp6cHe3t7jB8/XigJ2rBhA5ydnaGrqwtLS0v06dNHqvsZHR2NwMBANGjQAO7u7oiIiEBqaiquXbsm1fFVGS00SoicCotLHlOS+aEQP/5xGb8PagZvZ3M1R0W+NB8Li1F/7nG1nPveQl/oa1f8a+TXX3+Fk5MTNm3ahKtXr4LH4+H7778XKbdy5UosWrQIM2fOxN69ezF69Gi0bdsW9erVEypnb2+Pv//+G71798aDBw9Qo0YN6OnpAQBmz56Nffv2YePGjXB2dsbZs2cxcOBAmJubo127duXG+ezZM/Tq1QujRo3C6NGjER8fj0mTJkks369fP9jb26Njx464cuUK7O3tYWRkJLLN3Nwcx48fx8CBA7F27Vp4e3sjKSmJ6zqcN28eV+e8efMQGhqK1atXg8fjIT09He3atcPw4cOxatUqfPz4EdOmTUPfvn1x6tQp7rgtW7YgJCQEly9fRlxcHAIDA9G6dWt06tQJfD4ffn5+eP/+PbZv3w4nJyfcu3cPPB4PAHD79m34+vpi0aJF2Lx5M16/fo2xY8di7NixiIiIQHx8PMaPH49t27bBy8sL7969w7lz5yp418XLysoCAJiamsp1fFVCCRYhCjLQ5iG3oBhBkVfx6w8e8G9kre6QCPmsGBsbw8jIiOvmk8Tf3x/BwcEAgGnTpmH16tU4ffq0SILF4/G4X9AWFhZci1Jubi5WrVqFU6dOoVWrVgBKWpHOnz+P33//vcIEa+PGjahbty5Wr14NhmHg6uqK27dvY9myZWLL6+npwczMDEDJ6t+CaxO3bcmSJZg+fToGDx7MxbVo0SJMnTpVKMEaMGAAgoKCuNdz585F06ZNsXTpUm5beHg47O3t8fDhQ7i4uAAAGjduzNXj7OyM9evX4+TJk+jUqRP++ecfXLlyBYmJiVz5unXrcvWtWLECAwYM4FoUnZ2dsXbtWrRr1w4bN25EamoqDAwM0LVrVxgZGcHBwQEeHh7l3ktxWJZFSEgI2rRpw42lq84owSJEToLekbEdnHHnRRaO3k7HmJ3XsbhHQ/zYwkG9wZEvhp4WD/cW+qrt3MrUuHFj7v8Mw8DKygqvXr2S+vh79+4hLy8PnTp1EtpeUFAgVUKQmJiIli1bCi00KUjUFHXt2jVcvXoVS5Ys4bYVFxcjLy8PHz584MZpff311yLHxcbGwtDQUKTOpKQkoQSrNGtra+7eJSQkwM7OjisrLrbHjx9jx44d3DaWZcHn85GcnIxOnTrBwcEBdevWxbfffotvv/0WPXv2lHls2dixY3Hr1i2cP39epuOqKkqwCJGTYPSJtqYG1vb3gLG+FnZeTsWs/XeQ+aEQwe2daLVtonIMw0jVTVcVlH3uG8Mw4PP5Uh8vKHv06FHY2toK7dPR0anweGnHlMmDz+djwYIF6NWrl8g+XV1d7v8GBgYix3Xr1k1sK5q19afW8vLunaD7tLzYRo4cifHjx4vsq127NrS1tXH9+nWcPn0aJ06cwNy5czF//nxcvXpVZMkKScaNG4dDhw7h7NmzsLOzk+qYqq56fCoJUSMGAE+DwZIeDWGqr431sY+x4vgDaGowGNnOSd3hEVItiXteXP369aGjo4PU1NQKuwPFqV+/Pg4cOCC07dKlS4oF+p+mTZviwYMH+Oqrr2Q+7u+//4ajo6PcMygbN26M58+fC3Uplj3H3bt3y41NU1MTHTt2RMeOHTFv3jyYmJjg1KlTYhPG0liWxbhx47B//36cPn0aderUkesaqiKaRUiInAR/7QoaqRiGwWRfV0zuXPIDbNfVZ+oKjZBqz8HBAQzD4MiRI3j9+jVycnJgZGSEyZMnY+LEidiyZQuSkpJw48YN/Pbbb9iyZUuFdY4aNQpJSUkICfqCvrgAACAASURBVAnBgwcPsHPnTkRGRiol3rlz52Lr1q2YP38+7t69i8TEROzevRuzZ88u97gxY8bg3bt36N+/P65cuYInT57gxIkTCAoKkvphxO3atUPbtm3Ru3dvxMTEIDk5GceOHUN0dDSAkvFucXFxGDNmDBISEvDo0SMcOnQI48aNAwAcOXIEa9euRUJCAp4+fYqtW7eCz+fD1dW1wnOPGTMG27dvx86dO2FkZISMjAxkZGTg48ePUsVelVGCRYicJHUmDPhv/FXym1xkfiiovIAI+YLY2tpiwYIFmD59OiwtLTF27FgAwKJFizB37lyEhobCzc0Nvr6+OHz4sFQtJ7Vr18bff/+Nw4cPw93dHWFhYUKDyxXh6+uLI0eOICYmBp6enmjZsiVWrVoFB4fyx2va2NjgwoULKC4uhq+vLxo2bIiffvoJxsbG0NCQ/lf433//DU9PT/Tv3x/169fH1KlTuQStcePGOHPmDB49egRvb294eHhgzpw5XBekiYkJ9u3bhw4dOsDNzQ1hYWH4888/0aBBgwrPu3HjRmRlZaF9+/awtrbmvnbv3i117FUVw6qy05mIlZ2dDWNjY2RlZaFGjRrqDofIacyO6zh6Ox3zu9VHYGvhH94dVp7Gk9e5+NqhJjYHesJYT0tCLYTIJi8vD8nJyahTp47Q2B1CiHKU9xmT5fc3tWARoiBxA9lX9HFHDV1NxD/9F/1+j8Or7Dw1REYIIURdKMEiRE4shMdgldbMoSZ2j2wFcyMd3M94jz5hcXj6tvo/GoKQz9moUaNgaGgo9mvUqFHqDq/KSU1NlXg/DQ0NkZqaqu4Q1YpmERIip4o6192sa2DvqFYYtPkKUt99wMz9t7FjWMvKCY4QImLhwoWYPHmy2H00XEN2NjY2SEhIKHf/l4wSLEIUVN5KVw5mBlg/wAPd11/A3bTsSouJECLKwsJC6EHNRDGampoyLzvxJaEuQkLkxLVgVbCYaJ1aJQsHZn4oxPu8Qm57UTEfWR8KJR1GCCGkCqMEixA5sRIXahBmpKsFE/2SWYRJrz+Nwxq1/Ro8l/yDgwkvVBIfIYQQ9aEEixAFSfMwnEa2xgBKlnZ48joHAPBP4isUFPPx064ExNx7qcIICSGEVDZKsCrQs2dP1KxZE3369BHZ9+HDBzg4OEgcNEmqN0EXoTSPGwzt1Qh1axngReZHfB8Wh2tP3wnt33uNVn0nhJDqhBKsCowfPx5bt24Vu2/JkiVo0aJFJUdEPheyrNBrV1Mff41qhUa2xnibW4D+/7sstP/W8yzw+SzyCoux5+ozZGTRulmEEFKVUYJVAR8fHxgZGYlsf/ToEe7fvw9/f381REU+J4xUnYSAmaEOdg5vgVZ1zVBQVPKUexN9LehqaSA9Kw/zDt3FvusvMPXvW2gZehKpbz+oMmxCKlX79u0xYcIEdYchtcDAQPTo0UOpdUZGRsLExESpdVZnDMOIPHxbGSrre7FaJ1hnz55Ft27dYGNjI/GN2rBhA7ccfrNmzXDu3Dmp6p48eTJCQ0OVHTKpQmTpIhQw0tVCxBBP+DawBAA0tDHGz70aAwB2X30mtBjp1rgUJUVKCKlOqluiNn/+fDRp0kTdYShdtU6wcnNz4e7ujvXr14vdv3v3bkyYMAGzZs3CjRs34O3tDT8/vwpXnz148CBcXFzg4uIiVRz5+fnIzs4W+iLVwX8ruct4lK4WD78NaIp1/T0Q2qsRuja2Bk+DQUExH49e5XDlnr6jFixCVKm4uBh8Pl/dYZBqqlonWH5+fli8eDF69eoldv+qVaswdOhQDBs2DG5ublizZg3s7e2xcePGcuu9dOkSdu3aBUdHR0yePBn/+9//sHDhQonlQ0NDYWxszH3Z29srdF3k86DIY9I1eRro5m4De1N9aPI0YGNS8kDRW88zuTLPKMEi0mBZoCBXPV8yfgj4fD6mTp0KU1NTWFlZYf78+QCAoKAgdO3aVahsUVERrKysEB4eDqCkW2fs2LEYO3YsTExMYGZmhtmzZ4MtFUNBQQGmTp0KW1tbGBgYoEWLFjh9+jS3X9Dyc+TIEdSvXx86Ojp4+vQpiouLERISwtU7depUoXoBwNHREWvWrBHa1qRJE+4agJLfKY0aNYKBgQHs7e0RHByMnJwcyOPmzZvcEJUaNWqgWbNmiI+Px+nTpzFkyBBkZWWBYRgwDMPFIO31HzhwAC4uLtDV1UWnTp3w7Jl0k2wELU3h4eGoXbs2DA0NMXr0aBQXF2P58uWwsrKChYUFlixZInRcVlYWRowYAQsLC9SoUQMdOnTAzZs3uZgWLFiAmzdvctcTGRnJHfvmzRv07NkT+vr6cHZ2xqFDh4TqPnPmDJo3bw4dHR1YW1tj+vTpKCoq4vbn5uYiICAAhoaGsLa2xsqVK2V4FxTzxa7kXlBQgGvXrmH69OlC2zt37oyLFy+We2xoaCjXPRgZGYk7d+5g7ty5EsvPmDEDISEh3Ovs7GxKsqoRWboIJbGvqY9n7z7iTU4Bt+1+xnu8fp8PcyMdsCwr9qHShKDwA7BUTY8kmZkGaBtIXXzLli0ICQnB5cuXERcXh8DAQLRu3RrDhg1D27ZtkZ6eDmtrawBAVFQUcnJy0LdvX6Hjhw4disuXLyM+Ph4jRoyAg4MDhg8fDgAYMmQIUlJSsGvXLtjY2GD//v349ttvcfv2bTg7OwMomf0dGhqKP/74A2ZmZrCwsMDKlSsRHh6OzZs3o379+li5ciX279+PDh06yHQ7NDQ0sHbtWjg6OiI5ORnBwcGYOnUqNmzYIFM9APDjjz/Cw8MDGzduBI/HQ0JCArS0tODl5YU1a9Zg7ty5ePDgAQDA0NBQputfsmQJtmzZAm1tbQQHB+OHH37AhQsXpIorKSkJx44dQ3R0NJKSktCnTx8kJyfDxcUFZ86cwcWLFxEUFIRvvvkGLVu2BMuy6NKlC0xNTREVFQVjY2P8/vvv+Oabb/Dw4UP069cPd+7cQXR0NP755x8AgLGxMXe+BQsWYPny5VixYgXWrVuHH3/8EU+fPoWpqSlevHgBf39/BAYGYuvWrbh//z6GDx8OXV1dLumcMmUKYmNjsX//flhZWWHmzJm4du1apXRJfrEJ1ps3b1BcXAxLS0uh7ZaWlsjIyOBe+/r64vr168jNzYWdnR32798PT09Pmc6lo6MDHR0dpcRNPh/cQu4ydxKKGuzliEtP3oJfpkHg2J10nHv0BvczsrE1qAW3KjwhVVHjxo0xb948AICzszPWr1+PkydP4ueff4arqyu2bduGqVOnAgAiIiLw/fffc8kDANjb22P16tVgGAaurq64ffs2Vq9ejeHDhyMpKQl//vknnj9/zj0Db/LkyYiOjkZERASWLl0KACgsLMSGDRvg7u7O1btmzRrMmDEDvXv3BgCEhYXh+PHjMl9f6YHTderUwaJFizB69Gi5EqzU1FRMmTIF9erVAwAuQQJKEhCGYWBlZcVtk+X6169fz82A37JlC9zc3HDlyhU0b968wrj4fD7Cw8NhZGSE+vXrw8fHBw8ePEBUVBQ0NDTg6uqKZcuW4fTp02jZsiViY2Nx+/ZtvHr1ivs9+Msvv+DAgQPYu3cvRowYAUNDQ2hqagpdj0BgYCD69+8PAFi6dCnWrVuHK1eu4Ntvv8WGDRtgb2+P9evXg2EY1KtXD2lpaZg2bRrmzp2LDx8+YPPmzdi6dSs6derEXa+dnZ3M74c8vtgES6Bsq0DZloKKPmSBgYGqCItUAWW7EBTh28AKG35shvF/3kBBMR8etU1wIzUTcw/e5cpM3XsTK79vgtpm+ko7L6kGtPRLWpLUdW4ZNG7cWOi1tbU1Xr16BQAYNmwYNm3ahKlTp+LVq1c4evQoTp48KVS+ZcuWQj+fW7VqhZUrV6K4uBjXr18Hy7IiY2Pz8/NhZmbGvdbW1haKIysrC+np6WjVqhW3TVNTE19//bXMn/HY2FgsXboU9+7dQ3Z2NoqKipCXl4fc3FwYGMj2x1FISAiGDRuGbdu2oWPHjvj+++/h5OQksby01y+4NoF69erBxMQEiYmJUiVYjo6OQjPrLS0twePxoKGhIbRN8L5eu3YNOTk5QjEAwMePH5GUlFTh+Uq/VwYGBjAyMuLqTkxMRKtWrYS+J1q3bo2cnBw8f/4c//77LwoKCoTeW1NTU7i6ulZ4XmX4YhOsWrVqgcfjCbVWAcCrV69EWrUIKZeSeu6+bWiFw+PaIC3rIw4lpOFGaqbQ/qsp/6Ltilgcn9AWrlaiS4eQLxTDyNRNp05aWlpCrxmG4QaZBwQEYPr06YiLi0NcXBwcHR3h7e0tdd18Ph88Hg/Xrl0Dj8cT2le6FUxPT0+u7nYNDQ2RhKuw8NOzRJ8+fQp/f3+MGjUKixYtgqmpKc6fP4+hQ4cKlZPW/PnzMWDAABw9ehTHjh3DvHnzsGvXLvTs2VNseWmvHxBtWJC0TRxx72F57yufz4e1tbXQWDABaWZClle3uKETgveIYRil/hEsj2o9yL082traaNasGWJiYoS2x8TEwMvLS01RkarkUxeh8rhaGcHH1aLcOo/eTlfiGQn5PJiZmaFHjx6IiIhAREQEhgwZIlLm0qVLIq+dnZ3B4/Hg4eGB4uJivHr1Cl999ZXQl7iuJwFjY2NYW1sL1V1UVIRr164JlTM3N0d6+qfPXnZ2NpKTk7nX8fHxKCoqwsqVK9GyZUu4uLggLU2xlkUXFxdMnDgRJ06cQK9evRAREQGg5PdXcXGxUFlpr7+oqAjx8fHc6wcPHiAzM5PrilS2pk2bIiMjA5qamiJx1apVS+L1SKN+/fq4ePGiUCJ18eJFGBkZwdbWFl999RW0tLSE3tt///0XDx8+VPzCpFCtE6ycnBwkJCQgISEBAJCcnIyEhARuGYaQkBD88ccfCA8PR2JiIiZOnIjU1FSMGjVKnWGTKkJdfxwdvpmGHr9dwD/0/EJSzQwbNgxbtmxBYmIiBg8eLLL/2bNnCAkJwYMHD/Dnn39i3bp1+OmnnwCUJCM//vgjAgICsG/fPiQnJ+Pq1atYtmwZoqKiyj3vTz/9hJ9//hn79+/H/fv3ERwcjMxM4RbkDh06YNu2bTh37hzu3LmDwYMHC7UUOTk5oaioCOvWrcOTJ0+wbds2hIWFyXUfPn78iLFjx+L06dN4+vQpLly4gKtXr8LNzQ1ASTddTk4OTp48iTdv3uDDhw9SX7+WlhbGjRuHy5cv4/r16xgyZAhatmwpVfegPDp27IhWrVqhR48eOH78OFJSUnDx4kXMnj2bS/QEkwISEhLw5s0b5OfnS1V3cHAwnj17hnHjxuH+/fs4ePAg5s2bh5CQEGhoaMDQ0BBDhw7FlClTcPLkSdy5cweBgYFC3ZmqVK27COPj4+Hj48O9FszkGzx4MCIjI9GvXz+8ffsWCxcuRHp6Oho2bIioqCg4ODioK2RSBalkdl85VSa/KVmMdNjWeAR6OYJhgEmdXWGoU60/zuQL0LFjR1hbW6NBgwbcQO3SAgIC8PHjRzRv3hw8Hg/jxo3DiBEjuP0RERFYvHgxJk2ahBcvXsDMzAytWrWq8IkbkyZNQnp6OvfLNygoCD179kRWVhZXZsaMGXjy5Am6du0KY2NjLFq0SKgFq0mTJli1ahWWLVuGGTNmoG3btggNDUVAQIDM94HH4+Ht27cICAjAy5cvUatWLfTq1QsLFiwAAHh5eWHUqFHc77B58+Zh/vz5Ul2/vr4+pk2bhgEDBuD58+do06YNtxSGKjAMg6ioKMyaNQtBQUF4/fo1rKys0LZtW244Tu/evbFv3z74+PggMzMTERERUo1vtrW1RVRUFKZMmQJ3d3eYmppi6NChmD17NldmxYoVyMnJQffu3WFkZIRJkyYJva+qxLDq7qT8AmVnZ8PY2BhZWVmoUaOGusMhcgoIv4KzD19j5ffu6N1MubNSJu25ib+vP5e6/Ii2dTHT302pMZDPU15eHpKTk7knUFQnHz58gI2NDcLDw0XWL2zfvj2aNGkishYVkV5kZCQmTJgg0jpHhJX3GZPl93e17iIkRJVU+beJrI1il5PfYXXMQ3p+IamS+Hw+0tLSMGfOHBgbG6N79+7qDokQhVGCRYiCKrmHUKybzzLx68lHGLn9WsWFCfnMpKamwtbWFnv27EF4eDg0Nat/d3eDBg1gaGgo9mvHjh0UUzVQ/b+LCVGxz2mB9cT0bLT++RQih3jC2ZKWciBVg6OjY4UtwuKm+VdlUVFREpdvUNVSQYGBgeWObVJHTNUZJViEyEnw+0AZK7mXJSlpM9bTgo+rOQ4kSJ7+/SLzI1aeeIiwQc2UHhchRDk+x8lUn2NMVRl1ERIiJxYqHIMlIWljGKCZo2mFx0ffzUDWR9kXNyRVB81PIkQ1lPXZogSLEAWpZAyWhDoZSD8+y33BCeTmF1VckFQpgrWXCgoKKihJCJGH4LNVdkV8WVEXISFyUmUDgsQEi2FkSuhWnniIod51YGuip5zAiNppampCX18fr1+/hpaWVqUtmkjIl4DP5+P169fQ19dXeLIFJViEyEkdPTQlLVifMiyeBoOdw1qg36ZLYsuHX0hG+IVkPFzsB21N+kVcHTAMA2trayQnJ+Pp06fqDoeQakdDQwO1a9dWeBFpSrAIUZBKVnIvZwxW6dMxAFrUNcPsLm5YfDRRYm1uc6NxcExrNLQ1VnKcRB20tbXh7OxM3YSEqIC2trZSWoYpwSJEToJB7ipJr6SsVNpyxXwW/Tddwh+Dv0aLumbyB0Y+GxoaGtVuJXdCqhPqMyBETiodg1XOHnH7pGlFe59fhH6bLiH6TjqWR99H1geaZUgIIapCLViEKKhSZxGKdBEy//0rvVHbrwMAHr/KwaaAr+WMkBBCSHmoBYsQOQkasFSx0KgkZQe5K3LqE/degs9nkVdYrHBchBBChFGCRYi8BCu5q+RZhJIHuYvLr+SNoe7MKLRZFouPBZRkEUKIMlGCRYicVLqSu8SFRoVTL0E5RXK8Nzn5ePwqR4EaCCGElEUJFiEKqrxFGsSV+28MloLNaAY6iq1YTAghRBglWITIiVVlF6GESksGuYvuqygGbZ4GVvV1l7ifBXDnRRbe5uTLEiYhhBAJKMEiRE7qeNRu2WcRytJF2KupHYa2qSN239O3uei67jyaLf6HkixCCFECSrAIUVglziIs8yxC5tMOqY7naYgvl5H1KamKe/JWzugIIYQIUIJFiJzY//oIK3MdrLL7pB17JW7V+bq1DGCkU7IUXnGpVVPf5dLjVwghRFGUYBEiJ1V2EZa3tlbpfUyZf2UR1KYOtP57APScA3e47W9yKMEihBBFUYJFiIIq81mEItsZCdtFiokO1mIYIPODaDL1LpfGYBFCiKIowSJETp9mEVbmGKyyj8oR/CtdDMKtX5LGY+WJbMsvooVICSFEFpRgESIn1XYRStpezgrv0tRbpgVLXHIY++A19yDoxPRsjN15HQ3nHcf2S0+lOwkhhBBKsAiRGys6cFxZyn/Yc6lWKEa2hz0zZf4v7rhiPouUt7ng81n4/XoOR26lo7CYxewDd7iB/YQQQspHCRYhCqrUhUYhYR0suVuwxJf769ozuC84IbLde3ksZuy7Ld3JCCHkC0YJFiFyErTlqOZhz+XsE7cOltT1Co/BktTluOfqc7zPLxLZ/vzfj/jzSioKi/kynpkQQr4slGBVoGfPnqhZsyb69OkjtP3IkSNwdXWFs7Mz/vjjDzVFR9RJHb1lZVu2PnURSjnIXZo+QgAFFSRQ8Sn/SnU+Qgj5UlGCVYHx48dj69atQtuKiooQEhKCU6dO4fr161i2bBnevXunpgiJukmb3MhYqcTN4tbBkjYEKfOrCvX/3yU8e/cBz959ELvUAyGEfOkowaqAj48PjIyMhLZduXIFDRo0gK2tLYyMjODv74/jx4+rKUKiLoLV0VWTX0nOsMR1SUodQpkB8op0b/quOQvv5bFosjAGT9/myl8RIYRUQ9U6wTp79iy6desGGxsbMAyDAwcOiJTZsGED6tSpA11dXTRr1gznzp2rsN60tDTY2tpyr+3s7PDixQulxk4+f6rsIpQ4ixCSBrlLuw5W2bqkO26sz1ci2z4UfFobq92K01LVQwghX4pqnWDl5ubC3d0d69evF7t/9+7dmDBhAmbNmoUbN27A29sbfn5+SE1NLbdecVPVK3OxSfJ5UckyDZK2i7Q6SblMg4yzDctq52qOI+PaYHwH0URL4PGrHHRbdx7Lo+/LdxJCCKlGNNUdgCr5+fnBz89P4v5Vq1Zh6NChGDZsGABgzZo1OH78ODZu3IjQ0FCJx9na2gq1WD1//hwtWrSQWD4/Px/5+Z8eP5KdnS3LZZDPlDpWcv/vjJ/+J+OpGTmPZQA0tDVGQ1tjrD31WGyZjqvOAABuv8iCJk8DY3ycoKPJky1AQgipJqp1C1Z5CgoKcO3aNXTu3Floe+fOnXHx4sVyj23evDnu3LmDFy9e4P3794iKioKvr6/E8qGhoTA2Nua+7O3tlXINRL1UupJ7OV2E4l7Luw6WPPHM9K9XYfm1Jx/hj3PJ0p+AEEKqmS82wXrz5g2Ki4thaWkptN3S0hIZGRnca19fX3z//feIioqCnZ0drl69Ck1NTaxcuRI+Pj7w8PDAlClTYGZmJvFcM2bMQFZWFvf17NkzlV0XqXyq6SKU/EgccUlShcmSmPH4ss1+/FTWSFdLqiNWHH+A/psu0ZpZhJAvUrXuIpRG2e4dlmWFtkmaHdi9e3d0795dqnPo6OhAR0dH/iDJZ0kwFk81K7lL2F4mLWK4MViyr4MlbwuWLJcb9+Qt/H49h21Dm8PaWE+GIwkhpGr7YluwatWqBR6PJ9RaBQCvXr0SadUipLJJHuQufsyX9F2E8mWDpY/SkLGOx69y8MOmS3KdlxBCqqovNsHS1tZGs2bNEBMTI7Q9JiYGXl5eaoqKVCXcIHeVdBJKJm6ZBrnqkeFgRt4mrP88fftB9oMIIaQKq9ZdhDk5OXj8+NOMp+TkZCQkJMDU1BS1a9dGSEgIBg0ahK+//hqtWrXCpk2bkJqailGjRqkxalLVqGQSYTmVist1pF4HS848qez6WfIo2/1OCCHVWbVOsOLj4+Hj48O9DgkJAQAMHjwYkZGR6NevH96+fYuFCxciPT0dDRs2RFRUFBwcHNQVMqlCBCu5V/Y6WOW9rrheOZdpEBq7Jd8VLzmaiJS3uVjXvyn0tGn5BkJI9VatE6z27duLXRS0tODgYAQHB1dSRKQ6UdtK7go8Kke4BUv6RKn0uCt5E8o/zpcs2+A2NxqPl/hBk/fFjlAghHwB6CccIYqqxGcRMoz4VqgKG5UYoX+kO0ZSVUq43q7rztPzCwkh1RolWITISdCApYpB7hJbsMo+jFDGGOQegyXn8g6S3M94jyl/3UJOfpHilRFCyGeIEixC5FRR97OqiH/Ys7THyrtMAyP2/4q4kvIOTRfG4EXmR6XURwghnxNKsAhRkEoWGpW4nREaZP5poVEp61XGQqNKvN6CYj5a/3wKZx6+Vl6lhBDyGaAEixA5feoiVL5yuwjFvJYv6ZFlHSx56pfe4PArePaO1soihFQflGARIi+VziKUMMgdiq1JJdT6xXxaaqLC44QG1qsm2/JeHosDN16opG5CCKlslGARIieuBasyF89kGAlrUkk5yF3C/6U4rVzHyWrj6SQV1k4IIZWHEixCFFSp+RXKDjiXLQZ5FwxV1uN5pLE1LgU/H7uv2pMQQoiKUYJFiJwEswgr+Uk5ii00KscxZc+prFmEXk5mYrfPPXgXYWeScDctSynnIYQQdaAEixA5qXKRhvIWGi1T8L/t0q6DJd+jckqnYxpKyih7NbUrd//7vCJkZOXhY0Gxck5ICCGVqFo/KoeQyqCSZRrKe1ROmdeAfK1o6l6mQVw1D16+5/7/w6ZLAIBvG1ghbFAz5ZyUEEIqCbVgESKnT+uMqmAld0nbS56VI/xalnrl7OpjynklL2lDj76bgfWnHuHxq/fIyMpTyrkJIUTVqAWLEDlJu8SBMik8yF3iiwqOk7trUTINGSr65cRD/HLiIQBga1BztHUxV04QhBCiItSCRYiCKrOLsOw+mRcaZUSTM6kOk/B/Rch73849olXfCSGfP0qwCJGToItQJbMIyxnkLm6P1A97ljceBbollc2yhq5az08IIdKgBIsQOanyWc+SB7mXHQ0laMKSvV7Z1sGSr+WrPLJ0EZbGskBiejbikt4qKRJCCFE+SrAIUVDlruQufjyU9OtgydlFqIpZhHLW8/RdLvx+PYf+/7uEJ69zlBMMIYQoGSVYhCioMjvMGEhYaFTqdbDE/1+mGJS2TIN8FW2/lMr93+/Xc/j1n0fg8yt/wgEhhJSHEixC5MSqsI9Q4sOey4zBknmZBqH/y9BFqIKV3JWxYGl+ER+r/3mIEdviVfp+EEKIrCjBIkROnx72rPy6y6tS3IOXKwpB3HIOsi00qvynPSvzvv2T+AobzyShoIivvEoJIUQBKk2weDyeKqsn5LOgrBYdoTrLHeQuulP6dbCEx2BJ2+ijimUalN25ujz6AQb+cZm6CwkhnwWVJljUZE+qM26ZhkpswSp7rk+D3OVYaVTuR+VU7krusriS8g7Nl55UfsWEECIjlSZY6l4vhxBVUstK7oxiC43KPQbrM1qmoSJvcvKRkZWHQZsv48TdDJWcgxBCKiL1o3J8fHzKTZhYlgXDMAgMDERAQIBSgiPkSyVxkHuZtEjwqqJU5dN4MfkeeVO6rLISI0VrGdG2Lq4//RcAEP/fvwLLj9/HuUdvcO7RG6T83EXBMxFCiOykTrBiY2NVGQchVY5KuwjLfVSO/M8FlHcslfDMRdnOKbFOBevp7m6Dmf5umHfwjkiC9fp9vmKVE0KIgmgWISFyUmUHYXljsMQmSSpeyb10KtCFYQAAIABJREFU/Z9LF6Hg8BHtnOBiaYiQTi7cPn3tTxNsvlt/HrH3X6GwmGYYEkIqj9QtWABw+fJl/Pnnn7hw4QLS09Ohp6eH+vXrw8/PD/3794exsbGq4iTks6WKWYTlNe8wYpqTpH4WobyLi6oiw1KwHkFMtiZ6ODGxHbI+FmJVzEMAEFqu4ebzLAyJvAoDbR76edbG3G71FTsxIYRIQeoWLH9/f0RERKBz5844dOgQUlJSkJCQgIULF6KgoAB9+vTBgQMHVBkrIZ8VVXYRSlLeAqRSHQ/5uhdVsdCoorVolPnpVXrh0tgHr0XK5xYUI/xCsoJnJYQQ6UjdgrVz506YmJjg999/h7+/f8nBmppwd3eHu7s7xo8fj8zMTJUF+rlJTk5GUFAQXr58CR6Ph0uXLsHAwEDdYZFKpcKV3MvZLm5Gn9TPIpSzIUraMVg8DQbFUq5DpXAXYdkHX0tZX15hMXQ0NWiWMyFEpaRuwTIxMQEAxMXFYdy4ceDzS5rgHzx4gEGDBgmV+RIEBgZi4cKFuHfvHs6cOQMdHR11h0TUpDIHuUtepqH8IMTtlSXu0slQeYfxZKhU0ftW9lE70j56p96caCw6kkjr9BFCVErmQe6RkZGoU6cO/P398cMPP2DAgAHo0uXLmgZ99+5daGlpwdvbGwBgamoKTU2ZhrORaoDrIlTFSu7SjqkS/Cv1IHf55hFKOzhetnHzyhnkLlC2RczWRE/iseEXkjFsCz2/kBCiOjInWNevX8eFCxfw8uVLXLlyBfv27cMPP/ygithU5uzZs+jWrRtsbGzAMIzYsWMbNmxAnTp1oKuri2bNmuHcuXPcvkePHsHQ0BDdu3dH06ZNsXTp0soMn3wmVDqLUOKjchRbVV3e5RakHbslS7efog97rujaaxnpYFBLB4n7T95/hfWnHkvdpUkIIbKQOcEKDg7G0KFDcePGDezatQvfffcdLly4oIrYVCY3Nxfu7u5Yv3692P27d+/GhAkTMGvWLNy4cQPe3t7w8/NDamoqAKCwsBDnzp3Db7/9hri4OMTExCAmJkbi+fLz85GdnS30Rao+QetHZQ9yV8cYLGknEcqUNCk8i7DsuZkyr4Hx3ziXW8fKmIdotjgG7/MKFQuGEELKkDnBunTpEjfIvXnz5jh69CimTJmi9MBUyc/PD4sXL0avXr3E7l+1ahWGDh2KYcOGwc3NDWvWrIG9vT02btwIALCzs4Onpyfs7e2ho6MDf39/JCQkSDxfaGgojI2NuS97e3uVXBdRD1XkV+UNche7Xa5ZhPJ2EUouJ0sLlqJdhGXPJa7LUJqEL/NDIRrNP4Gmi2Jw50WWQjERQoiAwgOHbG1tcerUKbH7WJZFhw4dKhzn8Dk9YqegoADXrl3D9OnThbZ37twZFy9eBAB4enri5cuX+Pfff2FsbIyzZ89i5MiREuucMWMGQkJCuNfZ2dmUZFUDnx4/o/y6ZR3kLm2ap4xZhOUdqSFDE5biXYRl6xONUlLCtyWoOQaHXxHa9i63ADsuP0Vor8aKBUYIIZAhwfL19cX333+P7t27w8LCgtvO5/ORkJCA7du3w9PTE4MHD+b2MQwjMfn6XL158wbFxcWwtLQU2m5paYmMjJIHx2pqamLp0qVo27YtWJZF586d0bVrV4l16ujo0CzDakiV46Mlt+4wYtekkuthzzKtgyXdGCyeDFmTosskiEuoyu6XdIrapvpit/955Rl+bOGArywMoavFE1uGEEKkIXWCtX//fmzevBnfffcdMjIyYGJigvz8fHz8+BHt2rXD6NGj0aJFC7HHXr58Gbt27eJWgNfV1f3sV4Av+8Nf8DBrAT8/P/j5+VV2WOSzpIomrPJ2iTZDyTcGi5F6oL60cw9laZVSdstf2fpKWvvEn8RYT0tiPV3XnYcGAyzo3gCDWjkqMUJCyJdE6gRr3bp1mDZtGsaNG4fCwkK8efMGurq6qFmzpsRjWJZFly5dYG9vj27dumHq1KkwNzdHfn4+Hj9+jDNnzqBPnz4YM2YMevTooZQLUlStWrXA4/G41iqBV69eibRqkS+bega5i+/mk741SLqWKHHnFShvnJUsrVLK7iIse+7yxmBVdG4+C8w5eJcSLEKI3KQe5L59+3YAQPv27aGlpQVra+tykyuBnTt3IiwsDF26dIG1tTU0NTVhYGDArf4eExOD9u3by30ByqatrY1mzZqJzAqMiYmBl5eXmqIinyO1POy5zD5ZkztlPIuw/EHustWqiIoG1JfXgsUwDOZ0/fRMwh9b1MY39SxEysWnvMOafx6iiB4UTQiRkdQJ1tdffw1/f388efIEBw8eRFJSUoXHMAzDdf/9/vvvEstV9grwOTk5SEhI4Gb+JScnIyEhgVuGISQkBH/88QfCw8ORmJiIiRMnIjU1FaNGjarUOEnVoJJZhFI+c5AbgyVtvXLHI3pOcWSaRajkFixxsZTXgmVXU0+o7KBWomtm9QmLw5p/HmHvteeKhEoI+QJJnWBFREQgNDQUfD4fZ86cwahRo1C3bl00b94cQ4YMqfD48h6xU9ni4+Ph4eEBDw8PACUJlYeHB+bOnQsA6NevH9asWYOFCxeiSZMmOHv2LKKiouDgIHnRQvIF4h72rPwUq5wh7mITC3lWcpe7NUtpyzQoRpoWLEllStYTK11X+fWtjHlIq74TQmQi0zINSUlJiI6ORsOGDbltb968we3btys8NjIyEqtWrYK/vz9MTEzw6NEjta2f1b59+wp/WAYHByM4OLiSIiJVkTpWcv9vr0g5edaUkuUYafMmWWYRKv6wZ/nrL5tQMQxTbvnX7/Ox+XwyhnnXlTVMQsgXSqYEa/DgwTA3N0fv3r0xfPhwuLi4oFatWvDx8anw2P+zd+dxUVb7H8A/w+4CKCIoigaKC6KggAa5YQliaVqWt5uCpiZ5vaZki9mvzGtSVi4tmmbqtdXS7LZYStcFFTcQ3HNJCAQUAdllnef3B5eRYRZmeWbl8369eMk8yznfOYrz5ZzznNN0i50rV67gwIED7BEiiyab5G7EOlVv9qzh/c3K0rheA8zB0n+IUPceLBuJBDY2zV63EM/prDvahkhErZhWK7l3794dZ86cgZ+fH2JiYjBq1Ch88cUXqK6ubvFea9hih0gZoy802vS1lumdpiuyq71PrDlYIm/2rFi+6oSv+QR4GzUT4u9dY8xUmogsnVYJlkQigbOzM5599lkcP34c69evx759+9C1a9cW77WGLXaImpKt5G6APixVZTbMwdJ9HpWmiZJivcrLUFe+NrHoQpOER1XSZNNsSNDGRnUPlperE4B7C8v+ei4Pb/znPDeJJiK1dN4qZ9++fdi8eTPOnz+vU6KkbosdIktg0JXc1a3ToM31Crfrug6WpkOERnyKUINrVPZgNTsnkaje5sfd2RG5JVWQCgJq66V47svTAIC/iirx3hOBcG/PXRqISJFWPVgVFRVYtmwZ/Pz8sHXrVsydOxcXL17EkiVLlF4vCALGjRuHzZs3Iz8/X+5c4xY78+fPx7///W/d3wGRiRl1oVEoTyw07o2SKP1Wm9vMZohQ3x4suWQTqnuwGifuX8gtxamMItnxg5dvI2TF78gruatF1ETUWmjVg9WhQwd06NABx48fR6dOnTS6Z9SoUbh79y4mTZqEvLw8rbbYITJngkGfI1RNfh6VROGY2ntVlKNdnaqv02qzZ61+vVNCj/ysYQJ8k1jUzMGy+9+FWUWV+PvmEwrnwxL24+TSB+Hh7KR7QERkdbRKsM6cOaN1BV9//TXOnj2LnTt34sqVKxptsUNkCQw7RKhu/aamPS+Nx3UpV5vhPMU6lbHVImnSvwdL93slEvm5bM3nZDVlp0EmOPSt/2LXc+EI7sn/14iogb6/Q7YoODgY48ePR0ZGBn799VdUVlYyuSKrYpCnCNUcV7pMQwvJyr3rFI9pHZu5zMHSs4DmPViqEjY7W83qeXxDMpKvFegVExFZD50TrOabISsjkUjkVoA/ePCg1ivAE5kr2VOEhljJXcPJ7Nr3YOkckpJatTmjSN/NnvW+v0kB6hYatdOior9vPoGjTLKICHo8RRgZGYmzZ89qdG1gYCASExPRv39/2TFNV4AnMluGHCJUuUxDs9daZkzKhhe1pTbf0CoePdfBEnGIUV3Pm62Wk8We3nwCmW8/rGtYRGQldO7B0mZfru+//x5+fn5yxzRdAZ7I3Blz+cmGuUOKdWsag8IEeR2SRHVJnXFXcm/pfEsVNJ2DpTrJ0qYHq1HslpP46kSW1vcRkfXQOcHS5jfn2NhY9OnTBy+++CIuX76sa5VEZqXxKUJjruTecE7xZEsxNP4+pNsU92Z16XiuOb33ImzxPavPHhXXwVJ+nbo5WEN93JQeP3TlNl7dzR56otbM4JPcgXtb7PTp0wexsbFabbFDZK4M+hShmuPKJ6rrsA6WqSe561Z9k/vFW0dL1zlYQ3p0xMRAL73iICLrZJQECwCcnZ0xZ84crbfYITJXBt0qR02GJX9O23WwJEq/1yo2dZPcjThEqP8k+ebLNCi/zk7N2hO2NsAHTw3GqimDlJ6vrZcip/guth/LxN2aen3CJSILo/MkdwcHB53u03eLHSJzY5iV3FVNcpc/rmz5BbWlGrgHS5ukTf8hQvGGGNUtNGqvZojQ9n/3qOrlulNRg6kbj+HGnbu4cqsMKyYN1D1gIrIoOidYKSkpGl9bWVmJZcuW4csvv0RISAjmzp2LBx98UNeqicxC4xwf405yV/4koKbJhjFjNTR9e7DkEyzVQ4S2aipqbHdV9xaU1+DGnYatdH45m8cEi6gV0TnB0oarq6vWW+wQmTtDbpSjfpK7Ztcpv7fpvCMtg9LzPrHL0X+hUfm2UDlEqGaZhsYyVG0RdD6nRPb9ncpaHaIkIktllARL0/WyiCySIZ4iVHNc2bkWFySQyP/Z8L2Oc7DU3KfN/oyGWKBVm/IV52Bp34PVOD1L1SUv7eL/fUStlUETLEEQMGbMmBavkUgkmDFjBmJiYgwZDpGo7i19YIhJ7irmYDXLsCRaT3JX/r02xHq3+g7xtUSbZRpsFB4euEfdMg2Nf0+2Gv4F/Hm7HG//+gfc2zvg+PUivDUpAOG93TW6l4gsi0ETLIlEgv379xuyCiKrpLoHq9lmz5J7xzUq14wmuRsiMdWG/HCpbss0NN6jaW/cg+8fknu94Js0pLw2VqN7iciyGG2ZBiJrZeCRLrV1KRv6a6GEJt+Jv0yDVuUYuN1aHiKU/151gqV+mYaGP3V7MwXlNfjbpmM4cpX7FxJZG50SrKKiInz66afIzMwUORwiy9B0+MkQeYK6zZ7lt8rRrnYxkhpzmeSuf/3Ne7CUX6dJD5aapbJadPx6EZ79PAU5xXeRXVTJ9bKIrIROQ4TTp0/Hb7/9Bl9fX1y9elXsmIjMniFXcQdaGoZrEoeWzzLKzcHSdYhQt9uUlGPaDKv5Zs+qerzULTQq0XKIUJXKmno88HbDdIqHB3XFR08NNvhDAERkWDr93uXk5ARBEGBvby92PEQWoWlaY4gPQtXJh/JEQONJ7k17bXSIq3kZiie1KUfHAEQi/xShumUa1C002vineG/ml7N5GLsmCRXVdaKVSUTGp1OCtX37duzcuRMHDhwQOx4ii2OQPEHdEKHS4zosNGqIdbC06FDTdyV3fYmx0Gjj+ldiv5dr+eXYnZYjaplEZFw6JVjt2rXDY489Bk9PT7HjIbIILS0BYCgSKJ+DpenHe/N7tR1i1KYuY5WjSsvLNDRfaFR5ROq2ypGt5G6Ax4VW7rmEyhr2YhFZKj5FSKQD+SFC8ctXOUCopmdLs3IVl3jQllhDouY0RChR1TWIFjZ7bmGrHH1U1tTj6c0nOOmdyEIxwSLSkzEXGlVVn07rYGkdlX73KZRj4pXcm2/2rGokUO0QoaTla/SRllWMZz/XfN9XIjIfTLB0lJ2djdGjR8Pf3x+DBg3Cd999Z+qQyIjkRp8M3IOlMCSopD5dchXdt8rR6TaDlSNG/ermYGmyTIM++dWjQV748KnBKs8f5hpZRBZJ42UaIiIi1O9B1sq2vLGzs8PatWsRFBSE/Px8DBkyBOPHj0e7du1MHRoZgS5zl7TR/MO//n8ZXfN1sLSNo2liqHsPlkhPEepYv1g0nYNl6EnuthIJJgR6Ici7A0as4oNDRNZC4wRLlycGTTUR2Bi6du2Krl27AgA8PDzg5uaGoqIiJlitkKF7YmwkQOMsHAl02+xZGZ3jFun9mvopwuZzsFSFY69mDlZj7qVXgvW/Qrzd2mLXc2F4fMMxufOdnR1RVFGDu7X16Nahjc71EJFxGXSIUCqVGrJ4vSQlJWHChAnw8vKCRCLBDz/8oHDN+vXr4ePjAycnJwQHB+Pw4cNKy0pJSYFUKoW3t7ehwyYzIUZPkDryk9GbJwISxet0GSLUdasckZZpMPUQYfOOKZ16sGQruev+ZppuJh3c0w1vPzZQ7ny9VMDk9UfxwNv7ceByPpb/dBEHLufrXB8RGUernYNVUVGBwMBAfPTRR0rP79ixAwsXLsTSpUuRlpaGESNGIDo6GllZWXLXFRYWIiYmBps2bVJZV3V1NUpLS+W+iNRpPgG7xet1y7B0It4yDaZeB0u+flXtrG6ZhsYhQn2SxeZxNE/Wauul+KuwEgAwc+spbDmagZlbT0Eqtd4RAiJr0GoTrOjoaKxYsQKPPfaY0vOrV6/GrFmzMHv2bPTv3x9r166Ft7c3NmzYILumuroakydPxpIlSxAeHq6yroSEBLi6usq+2NNlXQyzknvT7yUqz92LQcNyW7hOo2TOSlZyb16/6h6slocIxXyK0K5ZQldWpXwtrEFv7sOOU1lKzxGR6bXaBEudmpoapKamIjIyUu54ZGQkkpOTATTML5sxYwbGjBmD6dOnqy1vyZIlKCkpkX1lZ2cbLHYyDkMPETYtVNLse2V5gFhzsDSZSyTeMg0iFaSj5u9V5RwsjZ4i1P3NNL9TXULXVHl1HV7edU7neonIsHTa7NnaFRQUoL6+XmGlek9PT9y8eRMAcPToUezYsQODBg2Szd/6/PPPMXDgQIXyHB0d4ejoaPjAyWgM/RRhUzbN5lw17dFqjEOXXjRldzTUpf69ibZMgxlt9gyobkNN5mCJOWFf3bIQygxb+TvCe7nDw9kRjwZ1g7+Xi2ixEJHumGCp0fw/3MalKABg+PDhZj2JnwxLrgfLIOtgyS8h0PR78dahUixIk7LFSozMrQdLleZDdvJlyP8pBm2HG2+VVsv2LdyYdB2Zbz8sXjBEpDOjDRHa2NhgzJgxSE1NNVaVOnN3d4etra2st6pRfn4+918kBYZZyf3e9/I9WMrrbikC5au/K9JoiNBKlmnQtHo7tXOw9H+KsHkc2vZgNVdVy611iMyB0RKsLVu2YNSoUViwYIGxqtSZg4MDgoODkZiYKHc8MTFR7WR2aj2MuRdh8x4spdfr8hCh0jlYut2nCxN3YGmcGKtfaPR/f4r4j0DfCfP9/u83ZBRUiBQNEenKaEOEM2bMAAC88cYbxqpSrfLycly7dk32OiMjA+np6XBzc0OPHj0QHx+P6dOnIyQkBGFhYdi0aROysrIQFxdnwqjJXBh6EV2Jul4rpZPcdZmDpXiPZpPcLWOIsKXiNc1j1C002tgWNiKOEaqrT1MR7x3kUCGRiYmWYNXW1iIyMhIbN25Enz59xCrWYFJSUhARESF7HR8fDwCIjY3Ftm3bMHXqVBQWFmL58uXIy8tDQEAA9uzZg549e5oqZGqlFJ52U7oZofblKk3UjNmDZeAMq6UUWN3Qa1Oa9CjZ6vUUofp1sHSVV3IXns5OoiZ/RKQ50RIse3t7nD9/3uD/aYpl9OjRLfZCzJs3D/PmzTNSRGRJDD5EKDcs2PJyAi3FoOqpx+Y/App8GKu7wjJ++hvI7+momrqFRhuJmcPoOwerUVjCfjw2pBtWPxkkSnlEpB1R52DFxMTgs88+E7NIIrNk6G02m37EKiwnIFYduq6DpW7Td30CMjJNfxlU16PUmLiK2Usk5qKl35/OEa0sItKOqHOwampqsHnzZiQmJiIkJERh4+PVq1eLWR2RWTDmU4SCoGJ5BV3q0HkOlmUQK051TxE20muhUYWnCLX/vTfS3xNj/T3x4s6zOsdBROISNcE6f/48hgwZAgC4cuWK3DlLGTok0oiB18Fqmh5oNi9Kh0nuJn6K0NDE6k1Ttw5WI33mYCmUpUMPloOdDZ4I8cbovh4Ifet3uXNVtfW4WVKF5D8LMcLPHWVVdVyMlMgIRE2wDhw4IGZxRGbLmCu5N1+yQdnHr1gf7/oOEVoqde/IXk2PUuNQsUTEyRaaJHTNOfzvycPOzo74+Z/D8ciHR2TnsooqEbkmSe76VVMG4ckQ7olKZEiiL9NQXFyMzz77DJcuXYJEIoG/vz+eeeYZuLq6il0VkckYei9CsSe5K61DyTFreuBMtKRTg+RJv6cIm5WlYw9Wo4Bu8v/XTv/shML1L+08iyNXC/DBU4O1rouINCPqJPeUlBT06tULa9asQVFREQoKCrB69Wr06tULp0+fFrMqIrNhiB4duUnuzX5Klc/BUh+D0pXclW6Vo997Maf8TKw+Rk0SHlPuRQgorp0VN6qX7PtbpdVK7/nxTK7B13Mjas1ETbAWLVqEiRMnIjMzE99//z12796NjIwMPPLII1i4cKGYVRGZlKE/lpomOobavkZpD5bR9nawHJq0v5jtZqfDQqNNe7AA4JXofgi9r2OL9324/xou3yzTuj4iapnoPVgvv/wy7OzujTza2dnhpZdeQkpKiphVEZlU09/8DTJEqOJ7UevQcZkGS6HNO1GXMGvSJPo9RSh/rxg9WADg7GTf4n2rE68gam0S3tt7GWlZd7Sul4hUEzXBcnFxQVZWlsLx7OxsODs7i1kVkdkw+JYvBqpAWbnWlGCJRZM2MYenCJtzdtJ8iu1HB67h8Q3JkEo5ZEgkFlETrKlTp2LWrFnYsWMHsrOzcePGDXzzzTeYPXs2nnrqKTGrIjIp+ZXcDbsOljFzHn3rstSPZ3VvW12CJXuKUMS/I12SNQclTx5qk2ABgFQAauqlWtdNRMqJ+hThe++9B4lEgpiYGNTV1QFo2ELnueeew9tvvy1mVaRERXUdztwoNnUYrULp3VqDlt90Uroxe5XYg6VIs7XBxGs3Xf4OlPdgtTxE2FxxZS1q66vh7dZW63uJSJ6oCZaDgwPWrVuHhIQE/PnnnxAEAb1790bbtvxhNYYbd+7i758qPpJNhmOoZQ2aTppuOifHttlsakf7htctfSZ3dXVquL7ZB3HXDk7ILrore61sLo82PF2cNLrOQc96NOHWzkHja9s62Ko8py55aqPmPk11aCufCOkyYd7RTjEOFx0SrKi1SSi5W4tfnx+B/l25GCmRPkRLsGpraxEZGYmNGzeiT58+GDhwoFhFk4Yc7GzQx7O9qcNoVcb6exqk3L6ezhg/sAuu367AnBG+uJRXirTsYjw2pBsAYMGDfki6chuxYfcBaPiAnTvKF6V365BVVIGj1woBAPMjeuPMjWK8MWEAAKC3R3s8NdQbndo5AgC2zgjFox8dRUVNPe73dcMLkX3x7t7LKK6sQZ1UQDsHO8SE9VSIb9FDffDLuVzUSQV4d2yLvl2ckVN8F+89MQgld2uRdOU21kwNxLkbpQCAgd1d8NOZPMwd6YuPDlzDi1F9AQAvj+uHS3kN1/x4JlehnjkjfHAxrxQ37tyFp4sTrt8uR0F5DdZOVb6B8VdzhuHvn56Ar3s7vBLdDwCwbWYoZmw9BWcnO/Tq3B7xY/vIrn91fD+cvVGC0X09AAArJgXgtR/Ow8vVCZ2dHRE5oIusHX8+mwuXNvaYGOiFmnoprtwsQ5hvJ1lZzz/oh5ziu6iqrcfVW+UAgMu3ymTn3J0dcfjKbXR2dkRbB1v06+KCX87lYfYIX7n34Oxkj9nDfVAnFRDk3QHLfrqA4spazI/ojaSrt1FVWw97WxsseNAPv1+8hayiSjzY30OhLaIDumD/H7dQWF6D6wUVeHakL/64WYbYsJ6QSIBntik+eFTyv57Z6HWHsXZqECYN7qa0nYmoZRJBxIVQOnfujOTkZPj5+YlVpFUqLS2Fq6srSkpK4OLC3xKJyPhe2XUW35zKVnvNt3PDMNTHzUgREemvpk6K1L/u4PLNUrR1sMOToeLuWKDN57eo/fQxMTH47LPPxCySiIgMIOGxgWjXwhDn4u/OILOgAo9+fBS/nc8zUmRE2rtdVo2EPZcQvCIRT316HMt+uogtRzNMGpOoc7BqamqwefNmJCYmIiQkBO3atZM7v3r1ajGrIyIiHUkkEri0sUdFTb3Ka7KKKvHK92dxJrsYcV+cRubbDxsxQqKW1dVLsfVoJt5PvIyq2oanYN3bO2BIj47o18W0y0OJmmCdP38eQ4YMAQBcuXJF7pw1bhBLRGTJBni5IK+kSu01x68XGSkaIu1cyy/DC9+ewZkbJQCAQO8OWDCmNyL6esDGDDZWFTXBOnDggJjFERGRAa2cPBDOTn9gd1qORtcXVdRo9XQmkaH8eCYXr+w6i8qaejg72eH/HvbHEyHdzaozR7Q5WLW1tYiIiFDouSIiIvPk4eKENSqeyFRm/lenIZUKSL5WgDsVNQaMjEi5mjoplv14AQu+TkNlTT3CfDvh9/hReDLU26ySK0DEHix7e3ucP3/e7N4gERGJI/nPQvxyLg///DoNvT3a4/f4UaYOiVqROxU1mPt5Kk5mNgxbzxvdC/Fj++i0Qbox8ClCIiLS2D+/TgMAXMsvN3Ek1JpkFFTgsQ3JOJlZBGdHO2yOCcFL4/qZbXIF8ClCIiLSkSAIHLUggzuZUYRnP09BcWUtunVog60zQ9HH07RPCGrCaE8REhGRdcktqUK3Dm0Im4NMAAAgAElEQVRMHQZZsd1pN/DyznOoqZci0LsDNseEoLOzo6nD0gifIiQiauVWTArA8p8u4t0nBuH5b9IBAF1cnDB5SDdsOPinyvu+PpGFFyL74KezeQjs7oqendqpvJZIG4Ig4KP91/B+YkNnTXRAF6x+MkiU/T+NRZTBy/Hjx6OkpET2+q233kJxcbHsdWFhIfz9/cWoioiIRDbt/p44/2YUJgZ6yY6tnhqIl8f1w8mlD6q8L+nqbfx4JhcLvk7DqHcPoriSTxaS/qRSAW/+dFGWXM0d6YuP/z7EopIrQKQEa+/evaiurpa9fuedd1BUdG9xurq6Oly+fFmMqoiIyAAc7GwgkUiwOLIPxg/sgmE+DRtZezg7YYSfu9J7LuSW4vdL+bLXQcsTsXT3OaPES9aptl6K+G/TsS05EwDwxgR/LBnf3ywWDtWWKAlW8/2iRdw/moiIjGj+GD+sfzoYtk0+0LbMCFV6bb1UQFZRpdyxL09koYhrZJEOKmvqMGd7Cn5Iz4WdjQRrpwZh5gM+pg5LZ+b7fKMZy87OxujRo+Hv749Bgwbhu+++M3VIREQGY6/mUfgz2cUKx67cKjNkOGSFiitrMG3zCRy8fBtO9jb4NDYEkwZ3M3VYehElwZJIJAqP6lrzo7t2dnZYu3YtLl68iN9//x2LFi1CRUWFqcMiIjIa1zb2Ks/9bdNxlNytRWYB/1+klt0sqcLUjcdxOqsYLk52+HL2MET09TB1WHoT5SlCQRAwY8YMODo2PDpZVVWFuLg42TpYTednWYOuXbuia9euAAAPDw+4ubmhqKhIYd0vIiJr1atzO5zOUuy9ahSe8F9U1NRj/wuj4Nu5vREjI0uSUVCBaZtPIKf4LjycHfH5rGHo28X817jShCg9WLGxsfDw8ICrqytcXV0xbdo0eHl5yV57eHggJiZGjKo0kpSUhAkTJsDLywsSiQQ//PCDwjXr16+Hj48PnJycEBwcjMOHD+tUV0pKCqRSKby9vfUNm4jIbH3098Fyr/t1dVF7fUVNPQBgzPuH8OZPFwwWF1mu8zklmLIhGTnFd3Ffp7bY9Vy41SRXgEg9WFu3bhWjGNFUVFQgMDAQM2fOxOOPP65wfseOHVi4cCHWr1+PBx54ABs3bkR0dDQuXryIHj16AACCg4OV9rzt27cPXl4NjzIXFhYiJiYGmzdvNuwbIiIysUcGeeHcjRJsTLoOAFgwxg/5pdX4/dKtJtd0RUV1HQ5cvi1379ajmXgpqp/FPWZPhnPsz0LM2Z6C8uo6DPBywb+fGQr39paxgKimRF1o1FxER0cjOjpa5fnVq1dj1qxZmD17NgBg7dq12Lt3LzZs2ICEhAQAQGpqqto6qqurMXnyZCxZsgTh4eEtXts0WSstLdX0rRARmY2mc2u7uDphc2wIthzJwPKfLwIA2jnYoa2KJKqwohpd7drgZEYRhvTsAEc7Jlut1d4LN/HPr9NQUyfFMB83bI4NgbOT6jl9lqrVPUVYU1OD1NRUREZGyh2PjIxEcnKyRmU0zjkbM2YMpk+f3uL1CQkJsuFSV1dXDicSkUWyU7IW0TPD7z1G72Rvg47tHJTeW1heg69O/IWnPj2Oxd+dNViMZN52nMrCc1+koqZOikh/T/z7maFWmVwBrTDBKigoQH19PTw9PeWOe3p64ubNmxqVcfToUezYsQM//PADgoKCEBQUhHPnVC+ut2TJEpSUlMi+srOz9XoPRESmEBPeEx3a2uPvw3ooPe9obwsXFR+WRRU1+ORQw/DiT2dysfnwdRy/XmiwWMn8fHLoT7y86xykAjA1xBvrnx4CJ3vr7cm0yiFCTTRfRkKbXeGHDx8OqVSqcV2Ojo6yJyyJiCyVh7MTUpY+BDsV62I52SkeH9mnM5Ku3MaRawXo1rENcorvAgBW/HIJAJD59sOGC5jMgiAISPj1D2z63/y9uFG98PK4vla9nBPQCnuw3N3dYWtrq9BblZ+fr9CrRURE8pQlV709GpZheCTQS2Enjy4uDb9c7k7LQUV1neEDJLNSVy/F4u/OypKrV8f3wyvR/aw+uQIMkGAdPnwY06ZNQ1hYGHJycgAAn3/+OY4cOSJ2VTpxcHBAcHAwEhMT5Y4nJia2OFmdiIgU/TR/OI68HIE+ns4Y4ddZ7ty80b0BNAwRXshVfMDn4OV8nM66Y5Q4ybiqausR98Vp7Dp9A7Y2Erw7ZRCeHdnL1GEZjagJ1q5duxAVFYU2bdogLS1N9uRcWVkZVq5cKWZVapWXlyM9PR3p6ekAgIyMDKSnpyMrKwsAEB8fj82bN2PLli24dOkSFi1ahKysLMTFxRktRiIia9HGwRbdO7YFAAR6d8B3cWGIG9ULiYtG4j73dvBydVJ574ytp/DY+mQc+CMf9VLuY2stSqtqEbPlJH6/dAsOdjb4ZFownghpXQ94SQQRd2YePHgwFi1ahJiYGDg7O+PMmTPw9fVFeno6xo0bp/Ekcn0dPHgQERERCsdjY2Oxbds2AA0Lja5atQp5eXkICAjAmjVrMHLkSKPEV1paCldXV5SUlMDFRf1ifURElu7pzcdx9FrDhHYHOxvU1Cmfw/piVF/8I6K3MUMjA8gvq0LsllO4lFcKZ0c7bI4NwTDfTqYOSxTafH6LOsn98uXLSpMUFxcXFBer3lJBbKNHj1aYB9DcvHnzMG/ePCNFRETUejk73nuyMOb+nth8JEPpde/uvcwEy8JlFVZi+pYT+KuwEu7tHfHvZ0IxwMvV1GGZhKhDhF27dsW1a9cUjh85cgS+vr5iVkVERBaireO9R/Ef6O1uwkjIkC7lleLxT5LxV2ElvN3aYNdzYa02uQJETrDmzp2L559/HidOnIBEIkFubi6+/PJLLF68mL1FREStVDuHe4MlnZ01W7KmsFxxqzIyX6cyi/DkxmO4XVaNfl2csSsuHD07tTN1WCYl6hDhSy+9hJKSEkRERKCqqgojR46Eo6MjFi9ejPnz54tZFRERWYimPViqFiJtNHn9UdTWS3E+pxQrJw/EY0O6WfVilNZg/x+38NwXp1FdJ0VIz474LDYUrm2tc3V2bYg6yb1RZWUlLl68CKlUCn9/f7Rv317sKiwaJ7kTUWuyet9lfLC/YfpI2v+NxeB/JbZwh7xfFgxv1UNN5uz70zfw4s6zqJcKGNPPAx//fYhVb+qtzee3QRYabdu2LUJCQjB06FAmV0RErVzT1RfaO8kPnCjb37C5l3Zy70JztPnwdcR/ewb1UgGPDe6GjdODrTq50paoCdbMmTPx3//+t8Un+IiIqPWoa5Jh2dvaoOv/1sXydHHE4qi+Ld5/s6QKgiBwnSwzIQgC3t37h2y7o1nDffDeE4GwV7GFUmslamsUFhbi4YcfRvfu3fHCCy/IFvokIqLWS9rsl+7d8x7AqscH4dCLEejjeW+UY/szQ5XeX1hRA58lezDxoyOQMskyqXqpgFd3n8fHB/4E0LB22WsP94eNBj2RrY2oCdaPP/6Imzdv4o033kBqaiqCg4Ph7++PlStXIjMzU8yqiIjIQjg069no4uqEJ0O94WRvCz8PZ9nxYb5ucHFS/ezVhdxSHLlWYLA4Sb3qunrM/+o0vj6ZBRsJsHLyQPwjoner2FdQFwaZ5N7oxo0b+Prrr7FlyxZcvXoVdXXc6BPgJHcial2KKmowdeMxTBrcTelCov9OzoSdrQRPD+uJyDWHcOVWudryMt9+GOXVdaivF/i0mpGUV9fh2e0pSP6zEA62Nlj3tyBED+xq6rCMzmQruTdVW1uLlJQUnDhxApmZmfD09DRUVUREZMbc2jkgMX6UyvOx4ffJvl/+aAD+tum42vL+KqzAzK2ncL2gAltnhCKin4dYoZISheXVmLH1FM7llKCdgy0+jQlBOBeMbZHoM9IOHDiAOXPmwNPTE7GxsXB2dsZPP/2E7OxssasiIiIrc79vJ3waE6L2mlHvHsT1ggoAwMxtpzgvy4Bu3KnEE58cw7mcEri1c8DXz97P5EpDovZgde/eHQUFBRg3bhw2btyICRMmwMlJ9S7qREREzTnaafe7f2FFDe7W1KNHp7YGiqh1unqrDNM/O4mbpVXo1qENts8ail6dufSSpkRNsF5//XU88cQT6Nixo5jFEhFRK6JtghWW8F9IBQFzR/VCV1cnxITdZ5jAWpHTWXfwzLZTKK6shZ9He2yfNRRdXduYOiyLoneCFR8fj3/9619o164d/vjjD/zrX/9See3q1av1rY6IiKyco5Zb4zSus7XhYMPSAZMGd2txSx5S7dCV24j7PBV3a+sR5N0BW2eEomM7B1OHZXH0TrDS0tJQW1sr+14VPsZJRESa0HdJpXW/X8WisX3Q3tFgz3FZrR/P5OKFb9NRWy9ghJ87PpkWjHZsR53o3WoHDhxQ+j0REZEhebk6IbekSuH4Z0cykHPnLj6ZHmyCqCzX58cy8fqPFyAIwIRAL7z/RCActByupXtEbbmsrCyV2+RkZWWJWRUREVkpTXtMnNTse/fbhZtihWP1BEHAmsQr+L//NCRXMWE9sW5qEJMrPYnaej4+Prh9+7bC8cLCQvj4+IhZFRERWalendtj4UN++NekANmx9U8PwabpwRjdt7Ps2PXbFSrLsJEAdfVSFJZXGzRWSyeVCnjjxwtY99+rAICFD/nhzYkDuPWNCEQdWBUEQelcq/Lyci7XQEREGlv4UB8AQOh9HXH5ZhmiA7pAIpFg1+kbGt0vFRqGChN+/QOvju+H2PD74Gin3eR5a1dTJ8UL353BT2dyIZEAb04cwCcwRSRKghUfHw+gYSL7//3f/6Ft23trkdTX1+PEiRMICgoSoyoiImpF+nVxQb8uyrckeTKkO75NUZ1wJfz6BwBg5Z4/8P6+K/h+XjgGeLkaJE5LU1lTh7gvTiPpym3Y2UiwemoQJgZ6mTosqyJKgtX49KAgCDh37hwcHO49zung4IDAwEAsXrxYjKqIiKgVazrNd/mjAWoTrKaq66R4+IMj2DozFBF9W/fWOncqajBz2ymkZxejjb0tPpkejFF9Ord8I2lFlASr8enBmTNnYt26ddzAmIiIDM7J3hZtHWxRWVOv8T0zt55C5tsPGzAq85ZXchfTPzuJa/nl6NDWHltmhGJIDy4ObgiizsHaunUrAODixYvIyspCTU2N3PmJEyeKWR0REbVy+xaNxPB3tFsiKPSt3/H+E4EY2cp6bf68XY6Yz04ip/guurg44fNZQ+Hn6WzqsKyWqAlWRkYGJk2ahHPnzkEikciWbGic+F5fr/lvGURERM15dZDfrqV7x7a439cNx68XaVzG7bJqxG49iYyE1tOTdfZGMWZsPYWiihr4urfD9llD0b0j9240JFGXaViwYAF8fHxw69YttG3bFhcuXEBSUhJCQkJw8OBBMasiIqJWaNHYPnhkUFd8FhsiOyZVvvyiWiqWbLRKydcK8NSm4yiqqMHAbq74Li6MyZURiNqDdezYMezfvx+dO3eGjY0NbGxsMHz4cCQkJGDBggVqt9IhIiJqiWsbe3z09yFyx1QtcN2SvJK7yC66i6E+bmKEZpZ+PZeH579JR029FOG9OmFTTAi3EDISUXuw6uvr0b59ewCAu7s7cnNzAQA9e/bE5cuXxayKiIgIAPBEiLdO94Ul7MeTG4/h5Z1nkVmgetFSS/X1ySz846vTqKmXYtyALtgyI5TJlRGJmmAFBATg7NmzAIBhw4Zh1apVOHr0KJYvXw5fX18xqyIiIgIAPBHcHbueC9P5/h0p2Zi0/ijq6qUiRmU6giDg4wPXsOT7c5AKwFNDvfHx00PgZM+FVo1J1ATrtddeg1Ta8A90xYoV+OuvvzBixAjs2bMHH3zwgZhVmVxGRgYiIiLg7++PgQMHoqLC+n77ISKyBBKJBME91Q/zBXRTv3xQcWUt7lTWihmWSUilAlb8cgnv7m0YNfpHRC+snDwQttz6xuhE7SuMioqSfe/r64uLFy+iqKgIHTt2VLqFjiWbMWMGVqxYgREjRqCoqAiOjo6mDomIiJR4NMgL8yN6Y+yaJLXXFVfWIPHiLZy9UYy3LDApqa2X4uWdZ/F9Wg4A4LWH+2P2CI4emYrBB2Pd3Kxv8uCFCxdgb2+PESNGALDO90hEZA0+nzUUI/w6o6K6rsVriypq8OrucwCA0X07Y1xAV0OHJ5q7NfX4x1ensf+PfNjaSLDq8UF4PLi7qcNq1fROsBr3IdTE6tWr9a1OI0lJSXj33XeRmpqKvLw87N69G5MmTZK7Zv369Xj33XeRl5eHAQMGYO3atbKEqSVXr15F+/btMXHiRNy4cQNTpkzBq6++aoi3QkREehjh17CYqCbzj349f1P2fU5xlcFiElvJ3VrM/vcpnMq8A0c7G6x/egge7O9p6rBaPb0TLE2XXjDmEGFFRQUCAwMxc+ZMPP744wrnd+zYgYULF2L9+vV44IEHsHHjRkRHR+PixYvo0aMHACA4OBjV1dUK9+7btw+1tbU4fPgw0tPT4eHhgXHjxiE0NBRjx45VGk91dbVcWaWlpSK9UyIi0oQmw33bkjNl3/94JhenMorw3OheCPTuYMDI9JNfWoWYLSfxx80yODvZYcuMUITex1EVcyARdF1AxEJIJBKFHqxhw4ZhyJAh2LBhg+xY//79MWnSJCQkJLRY5rFjx/Dmm2/it99+AwC8++67AIAXX3xR6fXLli3Dm2++qXC8pKSE+zYSEYlk7e9XsPb3q/B1b4fr/1t2oem+g/e98otO5f5zTG+MC+iCAV6uosQplr8KKzDtsxPILrqLzs6O2P7MUPTvys8UQyotLYWrq6tGn9+iPkVoCWpqapCamorIyEi545GRkUhOTtaojNDQUNy6dQt37tyBVCpFUlIS+vfvr/L6JUuWoKSkRPaVnZ2t13sgIiJFzz/oh5OvPoh9i0Zi2QR/7Fs0UpRyP9x/DQ9/cASVNS3P4zKWC7kleHzDMWQX3UUPt7bYFRfO5MrMiJ5gHT58GNOmTUNYWBhychqeZPj8889x5MgRsavSSUFBAerr6+HpKT8+7enpiZs3b6q4S56dnR1WrlyJkSNHYtCgQfDz88Mjjzyi8npHR0e4uLjIfRERkbgkEgk8XJxgZ2uDGQ/4oE+zjYy/iwtDSM+OOpf/zLZT+oYoihPXC/G3jcdRUF6N/l1dsPO5MPToxK1vzI2oCdauXbsQFRWFNm3aIC0tTTbvqKysDCtXrhSzKr01nxMmCIJW88Sio6Nx7tw5nD9/3miT94mISHeh97lh53Ph2PVcOCYFeaGLi5NW9x+/XoSiihoDRaeZxIu3ELPlJMqq6zD0Pjd88+z98HDW7n2QcYiaYK1YsQKffPIJPv30U9jb28uOh4eH4/Tp02JWpTN3d3fY2toq9Fbl5+cr9GoREZH1Ce7ZEWv/Nhjuzg4K55xb2EqmvMp0w4TfpWQj7otUVNdJ8VB/D2yfNRSubexbvpFMQtQE6/Llyxg5UnHM28XFBcXFxWJWpTMHBwcEBwcjMTFR7nhiYiLCw8NNFBURERnbq9ENc2fnjPCRHXOwU/+xWFrVsNp7dV29RmtriWVT0p94cedZ1EsFPD6kOz6ZFsytb8ycqAuNdu3aFdeuXcN9990nd/zIkSNG3YuwvLwc165dk73OyMhAeno63Nzc0KNHD8THx2P69OkICQlBWFgYNm3ahKysLMTFxRktRiIiMq3w3u44uywSzo52+PRwBgDA3lZ9grX/j3wEdHNF1Jok5JVUIe31sWjrYLg1uwVBwDu/XcYnh/4E0JAMLonuDxsLW2W+NRL1X8XcuXPx/PPPY8uWLZBIJMjNzcWxY8ewePFivP7662JWpVZKSgoiIiJkrxsXQ42NjcW2bdswdepUFBYWYvny5cjLy0NAQAD27NmDnj17Gi1GIiIyPRcn+SE2ezvFxOWRQV3x89k8AMDqxCt4bnQvZBZWAgAu5ZW2uA+irurqpVi6+zx2pDQ8ef5KdD/EjeplkLpIfKImWC+99BJKSkoQERGBqqoqjBw5Eo6Ojli8eDHmz58vZlVqjR49Gi0t7zVv3jzMmzfPSBEREZElaN6DlfLaQ+jY1kGWYAHyK75LDbSSZFVtPRZ8nYZ9F2/BRgIkPDYQU0N7GKYyMgjR+zXfeustLF26FBcvXoRUKoW/vz/at2+PnJwcdOvWTezqiIiIROPQJMGSSAD39o4K1yz4+t4OJm/85wIeDfLC/j/yMT2sJx4Z5KV3DGVVtZizPQXHrxfBwc4GH/xtMMYFdNG7XDIugyw02rZtW4SEhGDo0KEoLy/HP//5T/Tu3dsQVREREentpXF94WRvg7cfHyQ79p9/PCD7foCX8vULL+aVIuHXP3Aiowjzv0rDut+v4uuTWTrHUVBejb9tOo7j14vQ3tEO22aGMrmyUKIkWMXFxXj66afRuXNneHl54YMPPoBUKsXrr78OX19fHD9+HFu2bBGjKiIiItHNG90b55ZFIci7A4b3dke/Ls5yK6NveDpYo3LW/H4FS74/J3vaUBvFlTV4atNxXMgtRad2Dvjm2fsR3std63LIPIiyF+G8efPw008/YerUqfjtt99w6dIlREVFoaqqCm+88QZGjRolRqxWQ5u9jIiIyLgEQYAgQOFJvbGrD+FqfrlGZXi5OiF5yYMa13ngcj5e/O4MCspr4OniiK/n3A/fzu21ipsMz+h7Ef7yyy/YunUr3nvvPfz4448QBAF9+vTB/v37mVwREZFFkUgkSpdBcNFiUc/ckipsPnwdeSV31V4nCAJ+O38TM7eeQkF5DTo7O2LrjKFMrqyAKAlWbm4u/P39AQC+vr5wcnLC7NmzxSiaiIjILDg7afdc2IpfLiEsYT8yCiqUnhcEAfO/SkPcF6kAgDDfTvg9fhT8Vcz3IssiSoIllUrltsaxtbVFu3btxCiaiIjILDRfM+v3eMWdS5SJeO8gfkjLwbrfr2LG1pOoqZMCAD4+cA2/nGtY/uGpod7YOjOUW99YEVGWaRAEATNmzICjY8PjrFVVVYiLi1NIsr7//nsxqiMiIjK65j1YzRMudV7aeRY19Q2J1dcns7Ap6TpyihuGDxc86If4sX3EC5TMgigJVmxsrNzradOmiVEsERGR2Wg+B8tRi70AG5MrAHjjxwty5+aN5urs1kiUBGvr1q1iFENERGS2mvdg2dtKIJEA+j6Lz02brZPhdqgkIiKyIs6O8h+ZdjY2OidXPu7tMCW4O+737SRCZGSOmGARERFpoHkuZadkKQdN9ercHv+I4A4n1swgW+UQERFZm8an/xopWytLU76d+aS9tWOCRUREpIGAbq5aXe9ga4OmOVhn53sbR/u4M8GydkywiIiINKDtfKmRfTrjz5XjsWrKIPh3dcHrj/jLzt3XiQmWtWOCRUREpKHhvVVvvvxkSHe51w1PGUrwZIg39jw/AmP9PWXnenGI0OpxkjsREZGGJGqmXf1rUgCmBHvjyY3HACjOs3Kyt8W3c8NQWVMHDxcnQ4ZJZoAJFhERkYZsVUxsd2vnAEc7Wwz1ccOXs4fhl3N5Sp8SHOrjZugQyUwwwSIiItKQqg6sTu0cZN8/0NsdD6gZSqTWgXOwiIiINGSjYowwuGdHI0dC5o49WERERBqSNEuwvp0bht1pOVgyvp+JIiJzxQSLiIhIQ7bNxn2G+rhxXhUpxSFCIiIiDakaIiRqjgkWERGRhphgkaaYYBEREWmoYzt7U4dAFoJzsIiIiDQUP7Yv/syvwBPNVm0nao4JFhERkYbc2jng62fvN3UYZAE4RNiCyZMno2PHjpgyZYrCuZ9//hl9+/aFn58fNm/ebILoiIiIyBwxwWrBggULsH37doXjdXV1iI+Px/79+3H69Gm88847KCoqMkGEREREZG6YYLUgIiICzs7OCsdPnjyJAQMGoFu3bnB2dsb48eOxd+9eE0RIRERE5saiE6ykpCRMmDABXl5ekEgk+OGHHxSuWb9+PXx8fODk5ITg4GAcPnxYlLpzc3PRrVs32evu3bsjJydHlLKJiIjIsll0glVRUYHAwEB89NFHSs/v2LEDCxcuxNKlS5GWloYRI0YgOjoaWVlZsmuCg4MREBCg8JWbm6u2bkEQFI4130KBiIiIWieLfoowOjoa0dHRKs+vXr0as2bNwuzZswEAa9euxd69e7FhwwYkJCQAAFJTU3Wqu1u3bnI9Vjdu3MCwYcOUXltdXY3q6mrZ69LSUp3qJCIiIstg0T1Y6tTU1CA1NRWRkZFyxyMjI5GcnKx3+UOHDsX58+eRk5ODsrIy7NmzB1FRUUqvTUhIgKurq+zL29tb7/qJiIjIfFltglVQUID6+np4enrKHff09MTNmzc1LicqKgpPPPEE9uzZg+7du+PUqVMAADs7O7z//vuIiIjA4MGD8eKLL6JTp05Ky1iyZAlKSkpkX9nZ2bq/MSIiIjJ7Fj1EqInm86IEQdBqrpS6JwMnTpyIiRMntliGo6MjHB0dNa6TiIiILJvV9mC5u7vD1tZWobcqPz9foVeLiIiISExWm2A5ODggODgYiYmJcscTExMRHh5uoqiIiIioNbDoIcLy8nJcu3ZN9jojIwPp6elwc3NDjx49EB8fj+nTpyMkJARhYWHYtGkTsrKyEBcXZ8KoiYiIyNpZdIKVkpKCiIgI2ev4+HgAQGxsLLZt24apU6eisLAQy5cvR15eHgICArBnzx707NnTVCETERFRKyARlK2YSQZVWloKV1dXlJSUwMXFxdThEBERkQa0+fy22jlYRERERKbCBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiN5xJPcAABImSURBVIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywWjB58mR07NgRU6ZMUXq+srISPXv2xOLFi40cGREREZkrJlgtWLBgAbZv367y/FtvvYVhw4YZMSIiIiIyd0ywWhAREQFnZ2el565evYo//vgD48ePN3JUREREZM4sOsFKSkrChAkT4OXlBYlEgh9++EHhmvXr18PHxwdOTk4IDg7G4cOHRat/8eLFSEhIEK08IiIisg4WnWBVVFQgMDAQH330kdLzO3bswMKFC7F06VKkpaVhxIgRiI6ORlZWluya4OBgBAQEKHzl5uaqrfs///kP+vTpgz59+rQYZ3V1NUpLS+W+iIiIyHrZmToAfURHRyM6Olrl+dWrV2PWrFmYPXs2AGDt2rXYu3cvNmzYIOt5Sk1N1anu48eP45tvvsF3332H8vJy1NbWwsXFBa+//rrCtQkJCXjzzTd1qoeIiIgsj0X3YKlTU1OD1NRUREZGyh2PjIxEcnKy3uUnJCQgOzsbmZmZeO+99zBnzhylyRUALFmyBCUlJbKv7OxsvesnIiIi82XRPVjqFBQUoL6+Hp6ennLHPT09cfPmTY3LiYqKwunTp1FRUYHu3btj9+7dCA0N1SoWR0dHODo6anUPERERWS6rTbAaSSQSudeCICgcU2fv3r0tXjNjxgxtwyIiIiIrZrVDhO7u7rC1tVXorcrPz1fo1SIiIiISk9UmWA4ODggODkZiYqLc8cTERISHh5soKiIiImoNLHqIsLy8HNeuXZO9zsjIQHp6Otzc3NCjRw/Ex8dj+vTpCAkJQVhYGDZt2oSsrCzExcWZMGoiIiKydhadYKWkpCAiIkL2Oj4+HgAQGxuLbdu2YerUqSgsLMTy5cuRl5eHgIAA7NmzBz179jRVyERERNQKSARBEEwdRGtTWloKV1dXlJSUwMXFxdThEBERkQa0+fy22jlYRERERKbCBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiETGBIuIiIhIZEywiIiIiERmZ+oASESCANRWmjoKIiIi82DfFpBITFI1EyxrUlsJrPQydRRERETm4dVcwKGdSarmECERERGRyNiDZU3s2zZk60RERNTwuWgiTLCsiURisq5QIiIiuodDhEREREQiY4JFREREJDImWEREREQiY4JFREREJDImWEREREQiY4JFREREJDImWEREREQiY4JFREREJDImWEREREQiY4JFREREJDImWEREREQiY4JFREREJDImWEREREQiszN1AK2RIAgAgNLSUhNHQkRERJpq/Nxu/BxXhwmWCRQWFgIAvL29TRwJERERaausrAyurq5qr2GCZQJubm4AgKysrBb/glqD0tJSeHt7Izs7Gy4uLqYOx+TYHvewLeSxPeSxPe5hW8gzVHsIgoCysjJ4eXm1eC0TLBOwsWmY+ubq6sofhCZcXFzYHk2wPe5hW8hje8hje9zDtpBniPbQtGOEk9yJiIiIRMYEi4iIiEhktsuWLVtm6iBaI1tbW4wePRp2dhylBdgezbE97mFbyGN7yGN73MO2kGfq9pAImjxrSEREREQa4xAhERERkciYYBERERGJjAkWERERkciYYBERERGJjAkWERERkciYYJmh7OxsjB49Gv7+/hg0aBC+++47ufOTJ09Gx44dMWXKFBNFaFzq3u+aNWswYMAA+Pv7Y8GCBRptwGnp1LWHnZ0dgoKCEBQUhNmzZ5sgOuNT1R4t/RxZu/feew8DBgxAQEAAvvjiC1OHY3IZGRmIiIiAv78/Bg4ciIqKClOHZBJlZWUIDQ1FUFAQBg4ciE8//dTUIRndzz//jL59+8LPzw+bN282XEUCmZ3c3FwhLS1NEARBuHXrltCtWzehvLxcdn7//v3Cjz/+KDz++OOmCtGoVL3f/Px8wdfXV7h7965QV1cnhIeHC8nJySaK0njU/f136tTJBBGZlqr2aOnnyJqdPXtWGDx4sHD37l3h7t27Qnh4uHDnzh1Th2VSI0eOFJKSkgRBEITCwkKhtrbWxBGZRl1dnVBRUSEIgiBUVFQIPj4+QkFBgYmjMp7a2lrBz89PuHHjhlBaWir07t1bKCwsNEhd7MEyQ127dkVQUBAAwMPDA25ubigqKpKdj4iIgLOzs6nCMzp177eurg5VVVWora1FbW0tPDw8jByd8bW2v/+WqGqPln6OrNmlS5cQHh4OJycnODk5ISgoCL/99pupwzKZCxcuwN7eHiNGjAAAuLm5tdrFOG1tbdG2bVsAQFVVFerr61tFz3+jkydPYsCAAejWrRucnZ0xfvx47N271yB1McHSQVJSEiZMmAAvLy9IJBL88MMPCtesX78ePj4+cHJyQnBwMA4fPqxTXSkpKZBKpfD29tY3bIMwZls017lzZyxevBg9evSAl5cXHnroIfTq1UuUsnVlyvYAGnaQDw4OxvDhw3Ho0CHRytWVqdujkbn9HBm6XQICAnDgwAEUFxejuLgY+/fvR05OjphvQVSGbo+rV6+iffv2mDhxIoYMGYKVK1eKGb6ojPEzU1xcjMDAQHTv3h0vvfQS3N3dxQrf4PRtn9zcXHTr1k32unv37gb72WCCpYOKigoEBgbio48+Unp+x44dWLhwIZYuXYq0tDSMGDEC0dHRyMrKkl0THByMgIAAha/c3FzZNYWFhYiJicGmTZsM/p50Zay2UObOnTv4+eefkZmZiZycHCQnJyMpKUnU96ctU7YHAGRmZiI1NRWffPIJYmJiUFpaKtp704Wp2wMwz58jQ7dL45zEMWPGYPLkyQgNDTXrHhtDt0dtbS0OHz6Mjz/+GMeOHUNiYiISExON9fa0YoyfmQ4dOuDMmTPIyMjAV199hVu3bhnlvYlB3/ZR1lsnkUgME6xBBh5bEQDC7t275Y4NHTpUiIuLkzvWr18/4ZVXXtG43KqqKmHEiBHC9u3blZ4/cOCA2c3BMlRbCILy9/vtt98K8+bNk71etWqV8M4772gZteEYuz2aGzdunHDq1CmtyjUkU7RHSz9H5sCQ7dJo1qxZws8//6xzjMZkiPZITk4WoqKiZK9XrVolrFq1Sv9gDcwY/zbi4uKEb7/9VucYTUmX9jl69KgwadIk2bkFCxYIX375pUHiYw+WyGpqapCamorIyEi545GRkUhOTtaoDEEQMGPGDIwZMwbTp083RJhGIUZbqOPt7Y3k5GTZPIKDBw+ib9++epdrKIZujzt37qC6uhoAcOPGDVy8eBG+vr56l2sohm4PS/05Eqtd8vPzAQCXL1/GyZMnERUVJWqcxiJGe4SGhuLWrVu4c+cOpFIpkpKS0L9/f0OEa1BitMWtW7dkPdulpaVISkoy6/83taFJ+wwdOhTnz59HTk4OysrKsGfPHoP9bJhvn7GFKigoQH19PTw9PeWOe3p64ubNmxqVcfToUezYsQODBg2SjS9//vnnGDhwIAAgKioKp0+fRkVFBbp3747du3cjNDRU3DciAjHaAlD9fu+//36MHz8egwcPho2NDR588EFMnDhR7LchGkO3x6VLlzB37lzY2NhAIpFg3bp1cHNzE/ttiMbQ7dHSz5G5EqtdJk2ahOLiYrRr1w5bt2416yFCdcRoDzs7O6xcuRIjR46EIAiIjIzEI488YohwDUqMtrhx4wZmzZoFQRAgCALmz5+PQYMGGSJco9Okfezs7PD+++8jIiICUqkUL730Ejp16mSQeCzzJ84CNB/TFQRB43He4cOHQyqVqjxvqCceDEWftgDUv9+33noLb731ls6xmYKh2iM8PBznzp3TKzZTMFR7tPRzZO70bRcxegHNib7tER0djejoaLHDMgl92iI4OBjp6emGCMtstNQ+EydONMov4xwiFJm7uztsbW0VfpvIz89XyKqtHdtCHttDHttDObaLPLbHPWwL9cytfZhgiczBwQHBwcEKT6gkJiYiPDzcRFGZBttCHttDHttDObaLPLbHPWwL9cytfThEqIPy8nJcu3ZN9jojIwPp6elwc3NDjx49EB8fj+nTpyMkJARhYWHYtGkTsrKyEBcXZ8KoDYNtIY/tIY/toRzbRR7b4x62hXoW1T4GeTbRyh04cEAAoPAVGxsru+bjjz8WevbsKTg4OAhDhgwRDh06ZLqADYhtIY/tIY/toRzbRR7b4x62hXqW1D4SQWhFa+QTERERGQHnYBERERGJjAkWERERkciYYBERERGJjAkWERERkciYYBERERGJjAkWERERkciYYBERERGJjAkWERERkciYYBERERGJjAkWERERkciYYBERERGJjAkWEZEBjR49GgsXLjR6vS+88AImTJhg9HqJqIGdqQMgIjKE0aNHIygoCGvXrjVpHN9//z3s7e2NXm96ejrCwsKMXi8RNWAPFhGRAbm5ucHZ2dno9Z45cwaBgYFGr5eIGjDBIiKLtXPnTgwcOBBt2rRBp06d8NBDD6GiogIzZszAoUOHsG7dOkgkEkgkEmRmZkIQBKxatQq+vr5o06YNAgMDsXPnTrkyR48ejfnz52P+/Pno0KEDOnXqhNdeew2CIGgdR2N5jUOEmZmZsniafo0ePRoANIpPE9nZ2SgsLISNjQ3Gjh2Ltm3bom/fvjhx4oTWZRGRbphgEZFFysvLw1NPPYVnnnkGly5dwsGDB/HYY49BEASsW7cOYWFhmDNnDvLy8pCXlwdvb2+89tpr2Lp1KzZs2IALFy5g0aJFmDZtGg4dOiRX9r///W/Y2dnhxIkT+OCDD7BmzRps3rxZ6zia8/b2lsWTl5eHtLQ0dOrUCSNHjgQAjeNrSXp6OgDgww8/xJIlS3DmzBn06NEDr7zyilblEJHuOAeLiCxSXl4e6urq8Nhjj6Fnz54AgIEDB8rOOzg4oG3btujSpQsAoKKiAqtXr8b+/ftlc5N8fX1x5MgRbNy4EaNGjZLd6+3tjTVr1kAikaBv3744d+4c1qxZgzlz5mgdR1O2trayeKqqqjBp0iSEhYVh2bJlWsXXkvT0dHTs2BHffvstPDw8AACTJk3Chg0bNC6DiPTDBIuILFJgYCAefPBBDBw4EFFRUYiMjMSUKVPQsWNHpddfvHgRVVVVGDt2rNzxmpoaDB48WO7Y/fffD4lEInsdFhaG999/H/X19bC1tdUrjkazZs1CWVkZEhMTYWNjo1V8LUlPT8ejjz4qS64A4Pr16+jdu7dW5RCR7phgEZFFsrW1RWJiIpKTk7Fv3z58+OGHWLp0KU6cOAEfHx+F66VSKQDgl19+Qbdu3eTOOTo6Gi0OAFixYgV+++03nDx5UjYBXsz40tPT8fLLL8sdS0tLkw1FEpHhcQ4WEVksiUSCBx54AG+++SbS0tLg4OCA3bt3A2gYIqyvr5dd6+/vD0dHR2RlZaF3795yX97e3nLlHj9+XOG1n5+fQu+VJnE0t2vXLixfvhzffvstevXqpVN86pSVlSEjI0Oh1ys9PR1BQUEal0NE+mEPFhFZpBMnTuC///0vIiMj4eHhgRMnTuD27dvo378/AOC+++7DiRMnkJmZifbt28PNzQ2LFy/GokWLIJVKMXz4cJSWliI5ORnt27dHbGysrOzs7GzEx8dj7ty5OH36ND788EO8//77OsXR1Pnz5xETE4OXX34ZAwYMwM2bNwE0JIPaxKdOeno6bGxs5OaB/fXXX7hz5w4TLCJjEoiILNDFixeFqKgooXPnzoKjo6PQp08f4cMPP5Sdv3z5snD//fcLbdq0EQAIGRkZglQqFdatWyf07dtXsLe3Fzp37ixERUUJhw4dkt03atQoYd68eUJcXJzg4uIidOzYUXjllVcEqVSqUxyjRo0Snn/+eUEQBGHr1q0CAIWvUaNGCYIgaBRfYxmqfPjhh8KAAQPkju3evVvo0KGD5o1LRHqTCIKaxV2IiFoZc1kBXpVly5bh4MGDOHjwoKlDISI1OERIRGRB9u7di3Xr1pk6DCJqARMsIiILcuzYMVOHQEQa4BAhERERkci4TAP9f7t1LAAAAAAwyN96EjuLIgBgJlgAADPBAgCYCRYAwEywAABmggUAMBMsAICZYAEAzAQLAGAmWAAAswAxU8Lv2g84bgAAAABJRU5ErkJggg==", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject Text(0.5, 1, 'HyperDual Numbers for second derivatives')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "∇²𝑓(x) = -2sin(x^2) - 4x^2 * cos(x^2) + exp(x)\n", "using HyperDualNumbers\n", "finite_differences_2(f, x, h) = (f(x + h) - 2f(x) + f(x - h)) / h^2\n", "hyperdual_step_method(f, x, h) = ε₁ε₂part(f(x + ε₁ + ε₂))\n", "numerical_schemes_2 = [finite_differences_2, hyperdual_step_method]\n", "plot(step_sizes, [relative_error(m, 𝑓, ∇²𝑓, x, h) for h in step_sizes, m in numerical_schemes_2])\n", "loglog(), legend(string.(numerical_schemes_2)), xlabel(\"step size, \\$h\\$\"), ylabel(\"Relative Error, \\$\\\\frac{|\\\\bullet - \\\\nabla f(x)|}{|\\\\nabla f(x)|}\\$\")\n", "title(\"HyperDual Numbers for second derivatives\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Autodifferentiating through an iterative solver is expensive\n", "\n", "The Hessian of $\\hat{f}$ can be computed in $\\frac{m(m+1)}{2}$ hyperdual evaluations:\n", "\n", "$$\\nabla^2\\hat{f}(\\boldsymbol{p}) = \\mathfrak{H} \\left( \\left[\\begin{matrix}\n", "\t\t\\hat{f}(\\boldsymbol{p}_{11})\n", " & \\hat{f}(\\boldsymbol{p}_{12})\n", " & \\cdots\n", " & \\hat{f}(\\boldsymbol{p}_{1m})\n", " \\\\\n", "\t\t\\hat{f}(\\boldsymbol{p}_{12})\n", " & \\hat{f}(\\boldsymbol{p}_{22})\n", " & \\cdots\n", " & \\hat{f}(\\boldsymbol{p}_{2m})\n", " \\\\\n", " \\vdots & \\vdots & \\ddots & \\vdots \\\\\n", "\t\t\\hat{f}(\\boldsymbol{p}_{1m})\n", " & \\hat{f}(\\boldsymbol{p}_{2m})\n", " & \\cdots\n", " & \\hat{f}(\\boldsymbol{p}_{mm})\n", " \\end{matrix} \\right] \\right)$$\n", "\n", "\n", "But this requires $\\frac{m(m+1)}{2}$ calls to the inner solver, which requires hyperdual factorizations, and fine-tuned non-real tolerances!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# What is the F-1 algorithm\n", "\n", "### What does it do?\n", "\n", "The F-1 algorithm allows you to calculate the gradient and Hessian of an objective function, $\\hat{f}(\\boldsymbol{p})$, defined implicitly by the solution of a steady-state problem.\n", "\n", "### How does it work?\n", "\n", "It leverages analytical shortcuts, combined with dual and hyperdual numbers, to avoid calls to the inner solver and unnecessary factorizations." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Analytical gradient\n", "\n", "Differentiate the objective function $\\hat{f}(\\boldsymbol{p}) = f\\left(\\boldsymbol{s}(\\boldsymbol{p}), \\boldsymbol{p}\\right)$:\n", "\n", "\n", "\n", "$$\\color{forestgreen}{\\underbrace{\\nabla\\hat{f}(\\boldsymbol{p})}_{1 \\times m}}\n", " = \\color{royalblue}{\\underbrace{\\nabla_\\boldsymbol{x}f(\\boldsymbol{s}, \\boldsymbol{p})_{\\vphantom{\\boldsymbol{p}}}}_{1 \\times n}} \\,\n", " \\color{red}{\\underbrace{\\nabla \\boldsymbol{s}(\\boldsymbol{p})_{\\vphantom{\\boldsymbol{p}}}}_{n \\times m}}\n", " + \\color{DarkOrchid}{\\underbrace{\\nabla_\\boldsymbol{p} f(\\boldsymbol{s}, \\boldsymbol{p})}_{1 \\times m}}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Differentiate the steady-state equation, $\\boldsymbol{F}\\left(\\boldsymbol{s}(\\boldsymbol{p}),\\boldsymbol{p}\\right)=0$: \n", "\n", "\n", "\n", "$$\\color{royalblue}{\\underbrace{\\mathbf{A}_{\\vphantom{\\boldsymbol{p}}}}_{n \\times n}} \\,\n", " \\color{red}{\\underbrace{\\nabla\\boldsymbol{s}(\\boldsymbol{p})_{\\vphantom{\\boldsymbol{p}}}}_{n \\times m}}\n", " + \\color{forestgreen}{\\underbrace{\\nabla_\\boldsymbol{p} \\boldsymbol{F}(\\boldsymbol{s}, \\boldsymbol{p})}_{n\\times m}} = 0$$\n", " \n", "where $\\mathbf{A} \\equiv \\nabla_\\boldsymbol{x}\\boldsymbol{F}(\\boldsymbol{s},\\boldsymbol{p})$ is the Jacobian of the steady-state system (a large, sparse matrix)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Analytical Hessian\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Differentiate $\\hat{f}(\\boldsymbol{p}) = f\\left(\\boldsymbol{s}(\\boldsymbol{p}), \\boldsymbol{p}\\right)$ twice:\n", "\n", "$$\\begin{split}\n", " \t\\nabla^2 \\hat{f}(\\boldsymbol{p})\n", " \t&= \\nabla_{\\boldsymbol{x}\\boldsymbol{x}}f(\\boldsymbol{s}, \\boldsymbol{p}) \\, (\\nabla\\boldsymbol{s} \\otimes \\nabla\\boldsymbol{s})\n", " + \\nabla_{\\boldsymbol{x}\\boldsymbol{p}}f(\\boldsymbol{s}, \\boldsymbol{p}) \\, (\\nabla\\boldsymbol{s} \\otimes \\mathbf{I}_\\boldsymbol{p}) \\\\\n", " \t&\\quad+ \\nabla_{\\boldsymbol{p}\\boldsymbol{x}}f(\\boldsymbol{s}, \\boldsymbol{p}) \\, (\\mathbf{I}_\\boldsymbol{p} \\otimes \\nabla\\boldsymbol{s})\n", " + \\nabla_{\\boldsymbol{p}\\boldsymbol{p}}f(\\boldsymbol{s}, \\boldsymbol{p}) \\, (\\mathbf{I}_\\boldsymbol{p} \\otimes \\mathbf{I}_\\boldsymbol{p}) \\\\\n", " \t&\\quad+ \\nabla_\\boldsymbol{x}f(\\boldsymbol{s}, \\boldsymbol{p}) \\, \\nabla^2\\boldsymbol{s},\n", "\t\\end{split}$$\n", " \n", "Differentiate the steady-state equation, $\\boldsymbol{F}\\left(\\boldsymbol{s}(\\boldsymbol{p}),\\boldsymbol{p}\\right)=0$, twice:\n", "\n", "$$\\begin{split}\n", " 0 & = \\nabla_{\\boldsymbol{x}\\boldsymbol{x}}\\boldsymbol{F}(\\boldsymbol{s}, \\boldsymbol{p}) \\, (\\nabla\\boldsymbol{s} \\otimes \\nabla\\boldsymbol{s})\n", " + \\nabla_{\\boldsymbol{x}\\boldsymbol{p}}\\boldsymbol{F}(\\boldsymbol{s}, \\boldsymbol{p}) \\, (\\nabla\\boldsymbol{s} \\otimes \\mathbf{I}_\\boldsymbol{p})\\\\\n", "\t\t& \\quad + \\nabla_{\\boldsymbol{p}\\boldsymbol{x}}\\boldsymbol{F}(\\boldsymbol{s}, \\boldsymbol{p}) \\, (\\mathbf{I}_\\boldsymbol{p} \\otimes \\nabla\\boldsymbol{s})\n", " + \\nabla_{\\boldsymbol{p}\\boldsymbol{p}}\\boldsymbol{F}(\\boldsymbol{s}, \\boldsymbol{p}) \\, (\\mathbf{I}_\\boldsymbol{p} \\otimes \\mathbf{I}_\\boldsymbol{p}) \\\\\n", "\t\t& \\quad + \\mathbf{A} \\, \\nabla^2\\boldsymbol{s}.\n", "\t\\end{split}$$\n", " \n", "(Tensor notation of Manton [2012])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### F-1 Gradient and Hessian\n", "\n", "1. Find the steady state solution $\\boldsymbol{s}(\\boldsymbol{p})$\n", "\n", "1. Factorize the Jacobian $\\mathbf{A} = \\nabla_\\boldsymbol{x} \\boldsymbol{F}\\left(\\boldsymbol{s}(\\boldsymbol{p}), \\boldsymbol{p}\\right)$ ($1$ factorization)\n", "\n", "1. Compute $\\nabla\\boldsymbol{s}(\\boldsymbol{p}) = -\\mathbf{A}^{-1} \\nabla_\\boldsymbol{p} \\boldsymbol{F}(\\boldsymbol{s}, \\boldsymbol{p})$ ($m$ forward and back substitutions)\n", "\n", "1. Compute the gradient\n", "\n", " $$\\nabla\\hat{f}(\\boldsymbol{p}) = \\nabla_\\boldsymbol{x}f(\\boldsymbol{s}, \\boldsymbol{p}) \\, \\nabla \\boldsymbol{s}(\\boldsymbol{p}) + \\nabla_\\boldsymbol{p} f(\\boldsymbol{s}, \\boldsymbol{p})$$\n", "\n", "1. Compute the Hessian ($1$ forward and back substitution)\n", "\n", " $$[\\nabla^2\\hat{f}(\\boldsymbol{p})]_{jk} = \\mathfrak{H}\\big[f(\\boldsymbol{x}_{jk}, \\boldsymbol{p}_{jk})\\big] - \\mathfrak{H}\\big[\\boldsymbol{F}(\\boldsymbol{x}_{jk}, \\boldsymbol{p}_{jk})^\\mathsf{T}\\big] \\, \\mathbf{A}^{-\\mathsf{T}} \\,\\nabla_\\boldsymbol{x}f(\\boldsymbol{s},\\boldsymbol{p})^\\mathsf{T}$$\n", " \n", " where $\\boldsymbol{x}_{jk} \\equiv \\boldsymbol{s} + \\varepsilon_1 \\nabla\\boldsymbol{s} \\, \\boldsymbol{e}_j +\\varepsilon_2 \\nabla\\boldsymbol{s} \\, \\boldsymbol{e}_k$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Demo" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let us first quickly build a model using the AIBECS\n", "\n", "This will create $\\boldsymbol{F}(\\boldsymbol{x},\\boldsymbol{p})$ and $f(\\boldsymbol{x},\\boldsymbol{p})$ and some derivatives, such that we have an **expensive objective function**, $\\hat{f}(\\boldsymbol{p})$, defined implicitly by the solution $\\boldsymbol{s}(\\boldsymbol{p})$.\n", "\n", "Below I will skip the details of the model but I will run the code that generates `F`, `∇ₓF`, `f`, and `∇ₓf`." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "\n", "### Simple phosphorus-cycling model:
\n", "\\- Dissolved inorganic phosphorus (DIP)
\n", "\\- Particulate organic phosphorus (POP)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading OCIM0.1 ✔\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "┌ Info: You are about to use OCIM0.1 model.\n", "│ If you use it for research, please cite:\n", "│ \n", "│ - Primeau, F. W., Holzer, M., and DeVries, T. (2013), Southern Ocean nutrient trapping and the efficiency of the biological pump, J. Geophys. Res. Oceans, 118, 2547–2564, doi:10.1002/jgrc.20181.\n", "│ - DeVries, T. and F. Primeau, 2011: Dynamically and Observationally Constrained Estimates of Water-Mass Distributions and Ages in the Global Ocean. J. Phys. Oceanogr., 41, 2381–2401, doi:10.1175/JPO-D-10-05011.1\n", "│ \n", "│ You can find the corresponding BibTeX entries in the CITATION.bib file\n", "│ at the root of the AIBECS.jl package repository.\n", "│ (Look for the \"DeVries_Primeau_2011\" and \"Primeau_etal_2013\" keys.)\n", "└ @ AIBECS.OCIM0 /Users/benoitpasquier/.julia/dev/AIBECS/src/OCIM0.jl:53\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Registering WOA data with DataDeps\n", " Reading NetCDF file\n", " Rearranging data\n", " Filtering data\n", " Averaging data over each grid box\n", " Setting μ = 0 and σ² = ∞ where no obs\n", " Setting a realistic minimum for σ²\n" ] }, { "data": { "text/plain": [ "F (generic function with 1 method)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "const wet3D, grd, T_OCIM = OCIM0.load()\n", "T_DIP(p) = T_OCIM\n", "const ztop = vector_of_top_depths(wet3D, grd) .|> ustrip\n", "const iwet, v = findall(vec(wet3D)), vector_of_volumes(wet3D, grd) .|> ustrip\n", "const nb, z = length(iwet), grd.depth_3D[iwet] .|> ustrip\n", "const DIV, Iabove = buildDIV(wet3D, iwet, grd), buildIabove(wet3D, iwet)\n", "const S₀, S′ = buildPFD(ones(nb), DIV, Iabove), buildPFD(ztop, DIV, Iabove)\n", "T_POP(p) = p.w₀ * S₀ + p.w′ * S′\n", "function G_DIP!(dx, DIP, POP, p)\n", " τ, k, z₀, κ, xgeo, τgeo = p.τ, p.k, p.z₀, p.κ, p.xgeo, p.τgeo\n", " dx .= @. (xgeo - DIP) / τgeo - (DIP ≥ 0) / τ * DIP^2 / (DIP + k) * (z ≤ z₀) + κ * POP\n", "end\n", "function G_POP!(dx, DIP, POP, p)\n", " τ, k, z₀, κ = p.τ, p.k, p.z₀, p.κ\n", " dx .= @. (DIP ≥ 0) / τ * DIP^2 / (DIP + k) * (z ≤ z₀) - κ * POP\n", "end\n", "const iDIP = 1:nb\n", "const iPOP = nb .+ iDIP\n", "t = empty_parameter_table()\n", "add_parameter!(t, :xgeo, 2.17u\"mmol/m^3\", optimizable = true)\n", "add_parameter!(t, :τgeo, 1.0u\"Myr\")\n", "add_parameter!(t, :k, 5.0u\"μmol/m^3\", optimizable = true)\n", "add_parameter!(t, :z₀, 80.0u\"m\")\n", "add_parameter!(t, :w₀, 0.5u\"m/d\", optimizable = true)\n", "add_parameter!(t, :w′, 0.1u\"1/d\", optimizable = true)\n", "add_parameter!(t, :κ, 0.3u\"1/d\", optimizable = true)\n", "add_parameter!(t, :τ, 100.0u\"d\", optimizable = true)\n", "initialize_Parameters_type(t, \"Pcycle_Parameters\")\n", "p = Pcycle_Parameters()\n", "F!, ∇ₓF = inplace_state_function_and_Jacobian((T_DIP,T_POP), (G_DIP!,G_POP!), nb)\n", "x = p.xgeo * ones(2nb)\n", "const μDIPobs3D, σ²DIPobs3D = WorldOceanAtlasTools.fit_to_grid(grd, 2018, \"phosphate\", \"annual\", \"1°\", \"an\")\n", "const μDIPobs, σ²DIPobs = μDIPobs3D[iwet], σ²DIPobs3D[iwet]\n", "const μx, σ²x = (μDIPobs, missing), (σ²DIPobs, missing)\n", "const ωs, ωp = [1.0, 0.0], 1e-4\n", "f, ∇ₓf, ∇ₚf = generate_objective_and_derivatives(ωs, μx, σ²x, v, ωp, mean_obs(p), variance_obs(p))\n", "F(x::Vector{Tx}, p::Pcycle_Parameters{Tp}) where {Tx,Tp} = F!(Vector{promote_type(Tx,Tp)}(undef,length(x)),x,p)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "\n", "Tracer equations:\n", "\n", "$$\\left[\\frac{\\partial}{\\partial t} + \\nabla \\cdot (\\boldsymbol{u} + \\mathbf{K}\\cdot\\nabla )\\right] x_\\mathsf{DIP} = -U(x_\\mathsf{DIP}) + R(x_\\mathsf{POP})$$\n", "\n", "$$\\left[\\frac{\\partial}{\\partial t} + \\nabla \\cdot \\boldsymbol{w}\\right] x_\\mathsf{POP} = U(x_\\mathsf{DIP}) - R(x_\\mathsf{POP})$$\n", "\n", "- DIP→POP: $U=\\frac{x_\\mathsf{DIP}}{\\tau} \\, \\frac{x_\\mathsf{DIP}}{x_\\mathsf{DIP} + k} \\, (z < z_0)$\n", "\n", "- POP→DIP: $R = \\kappa \\, x_\\mathsf{POP}$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### 6 parameters" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ " xgeo = 2.17e+00 [mmol m⁻³] \n", " τgeo = 1.00e+00 [Myr] (fixed)\n", " k = 5.00e+00 [μmol m⁻³] \n", " z₀ = 8.00e+01 [m] (fixed)\n", " w₀ = 5.00e-01 [m d⁻¹] \n", " w′ = 1.00e-01 [d⁻¹] \n", " κ = 3.00e-01 [d⁻¹] \n", " τ = 1.00e+02 [d] \n" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "name": "stdout", "output_type": "stream", "text": [ "Pcycle_Parameters{Float64}\n" ] } ], "source": [ "p" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "6-element Array{Float64,1}:\n", " 0.00217 \n", " 4.9999999999999996e-6\n", " 5.787037037037037e-6 \n", " 1.1574074074074074e-6\n", " 3.472222222222222e-6 \n", " 8.64e6 " ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p[:]" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Using the F-1 algorithm is easy" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "hessian (generic function with 1 method)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using F1Method\n", "mem = F1Method.initialize_mem(x, p) \n", "objective(p) = F1Method.objective(f, F, ∇ₓF, mem, p, CTKAlg(); preprint=\" \")\n", "gradient(p) = F1Method.gradient(f, F, ∇ₓf, ∇ₓF, mem, p, CTKAlg(); preprint=\" \")\n", "hessian(p) = F1Method.hessian(f, F, ∇ₓf, ∇ₓF, mem, p, CTKAlg(); preprint=\" \")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "That's it, we have defined functions that \"autodifferentiate\" through the iterative solver!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Testing the F-1 algorithm\n", "\n", "We simply call the objective," ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " (No initial Jacobian factors fed to Newton solver)\n", " Solving F(x) = 0 (using Shamanskii Method)\n", " │ iteration |F(x)| |δx|/|x| Jac age fac age\n", " │ 0 5.5e-06 \n", " │ 1 4.1e-12 7.7e-01 1 1 \n", " │ 2 2.7e-13 1.0e-05 2 2 \n", " │ 3 2.2e-14 3.7e-07 3 3 \n", " │ 4 2.0e-15 3.2e-08 4 4 \n", " │ 5 2.0e-16 3.0e-09 5 5 \n", " │ 6 2.1e-17 3.1e-10 6 6 \n", " │ 7 2.3e-18 3.3e-11 7 7 \n", " │ 8 2.6e-19 4.3e-12 8 8 \n", " │ 9 3.0e-20 3.5e-12 9 9 \n", " └─> Newton has converged, |x|/|F(x)| = 1e+12 years\n" ] }, { "data": { "text/plain": [ "0.009662688019579478" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "objective(p)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "the gradient," ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "1×6 Array{Float64,2}:\n", " -15.9279 9.05772 -37.5944 -9661.29 3326.29 1.13229e-10" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gradient(p)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "and the Hessian," ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "6×6 Array{Float64,2}:\n", " 1.93635e5 -7994.37 … -4.39396e6 -1.04921e-6 \n", " -7994.37 3.78521e6 1.59453e6 9.90002e-7 \n", " 1.32924e5 -98274.9 7.01703e5 -3.56705e-6 \n", " 1.25173e7 -4.29221e6 2.42006e9 -0.000106045\n", " -4.39396e6 1.59453e6 -1.75386e9 4.12933e-5 \n", " -1.04921e-6 9.90002e-7 … 4.12933e-5 2.87856e-17" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hessian(p)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "And do it again after updating the parameters, this time also recording the time spent, for the objective," ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " (No initial Jacobian factors fed to Newton solver)\n", " Solving F(x) = 0 (using Shamanskii Method)\n", " │ iteration |F(x)| |δx|/|x| Jac age fac age\n", " │ 0 4.7e-09 \n", " │ 1 3.8e-12 9.9e-02 1 1 \n", " │ 2 2.9e-13 4.9e-06 2 2 \n", " │ 3 3.0e-14 4.5e-07 3 3 \n", " │ 4 3.3e-15 4.8e-08 4 4 \n", " │ 5 3.7e-16 5.4e-09 5 5 \n", " │ 6 4.3e-17 6.2e-10 6 6 \n", " │ 7 4.9e-18 7.1e-11 7 7 \n", " │ 8 5.6e-19 8.1e-12 8 8 \n", " │ 9 6.4e-20 1.9e-12 9 9 \n", " │ 10 7.4e-21 7.9e-13 10 10 \n", " └─> Newton has converged, |x|/|F(x)| = 4.5e+12 years\n", " 38.230818 seconds (98.39 k allocations: 3.182 GiB, 5.85% gc time)\n" ] }, { "data": { "text/plain": [ "0.010696151016861694" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@time objective(1.1p)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "the gradient," ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 32.789312 seconds (2.02 k allocations: 3.037 GiB, 6.97% gc time)\n" ] }, { "data": { "text/plain": [ "1×6 Array{Float64,2}:\n", " 25.0791 9.91269 -8.38374 -6268.7 2153.61 -6.97202e-11" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@time gradient(1.1p) " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "and the Hessian," ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 18.919829 seconds (5.66 k allocations: 8.197 GiB, 42.01% gc time)\n" ] }, { "data": { "text/plain": [ "6×6 Array{Float64,2}:\n", " 1.92817e5 -7210.06 1.37981e5 … -4.75529e6 -1.06793e-6 \n", " -7210.06 2.6767e6 -1.14666e5 2.31281e6 1.09749e-6 \n", " 1.37981e5 -1.14666e5 2.66979e6 -1.3653e7 -7.11517e-6 \n", " 1.3576e7 -6.36511e6 5.19961e7 3.78458e8 -0.000387782\n", " -4.75529e6 2.31281e6 -1.3653e7 -6.57363e8 0.000141119\n", " -1.06793e-6 1.09749e-6 -7.11517e-6 … 0.000141119 7.76363e-17" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@time hessian(1.1p)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Factorizations are the bottleneck" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 24.525396 seconds (530.16 k allocations: 2.183 GiB, 2.74% gc time)\n" ] }, { "data": { "text/plain": [ "UMFPACK LU Factorization of a (382338, 382338) sparse matrix\n", "Ptr{Nothing} @0x00007febc64858f0" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@time factorize(∇ₓF(mem.s, mem.p))" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "(6, 12.187902000000001 minute)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "length(p), length(p)^2 * 20.313170 * u\"s\" |> u\"minute\"" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Benchmark the F-1 algorithm
(for a full optimization run)\n", "\n", "\n", "| Algorithm | Definition | Factorizations |\n", "|:------------|:------------------------------------------------------|:-------------------|\n", "| F-1 | F-1 algorithm | $\\mathcal{O}(1)$ |\n", "| DUAL | Dual step for Hessian + Analytical gradient | $\\mathcal{O}(m)$ |\n", "| COMPLEX | Complex step for Hessian + Analytical gradient | $\\mathcal{O}(m)$ |\n", "| FD1 | Finite differences for Hessian + Analytical gradient | $\\mathcal{O}(m)$ |\n", "| HYPER | Hyperdual step for Hessian and dual step for gradient | $\\mathcal{O}(m^2)$ |\n", "| FD2 | Finite differences for Hessian and gradient | $\\mathcal{O}(m^2)$ |" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Computation time full optimization\n", "\n", "
\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "# Partition of computation time\n", "\n", "
\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "

Conclusions

\n", "\n", "The F-1 algorithm is \n", "- easy to use and understand\n", "- accurate (machine-precision)\n", "- fast!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "\n", "Check it on Github
at [briochemc/F1Method.jl](https://github.com/briochemc/F1Method.jl)!\n" ] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Julia 1.1.1", "language": "julia", "name": "julia-1.1" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.1.1" }, "rise": { "scroll": true } }, "nbformat": 4, "nbformat_minor": 3 }