{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Active Contours using Parameteric Curves" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This tour explores image segmentation using parametric active contours.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "using PyPlot\n", "using NtToolBox\n", "# using Autoreload\n", "# arequire(\"NtToolBox\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Parameteric Curves\n", "-------------------\n", "\n", "In this tours, the active contours are represented using parametric\n", "curve $ \\ga : [0,1] \\rightarrow \\RR^2 $. \n", "\n", "\n", "This curve is discretized using a piewise linear curve with \n", "$p$ segments, and is stored as a complex vector of points in the plane\n", "$\\ga \\in \\CC^p$.\n", "\n", "Initial polygon." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "gamma0 = [.78, .14, .42, .18, .32, .16, .75, .83, .57, .68, .46, .40, .72, .79, .91, .90] + 1im*[.87, .82, .75, .63, .34, .17, .08, .46, .50, .25, .27, .57, .73, .57, .75, .79];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the initial curve." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(0.1015,0.9485,0.040499999999999994,0.9095)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "periodize = gamma -> [gamma; [gamma[1]]]\n", "function cplot(gamma, s = \"b\", lw = 1) \n", " plot(real(periodize(gamma)), imag(periodize(gamma)), s, linewidth = lw)\n", " axis(\"equal\")\n", " axis(\"off\")\n", "end\n", "cplot(gamma0, \"b.-\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of points of the discrete curve." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "p = 256;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Shortcut to re-sample a curve according to arc length." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "ename": "LoadError", "evalue": "ArgumentError: Module Dierckx not found in current path.\nRun `Pkg.add(\"Dierckx\")` to install the Dierckx package.", "output_type": "error", "traceback": [ "ArgumentError: Module Dierckx not found in current path.\nRun `Pkg.add(\"Dierckx\")` to install the Dierckx package.", "", " in require(::Symbol) at ./loading.jl:365", " in require(::Symbol) at /Applications/Julia-0.5.app/Contents/Resources/julia/lib/julia/sys.dylib:?" ] } ], "source": [ "using Dierckx\n", "curvabs = gamma -> [0; cumsum(1e-5 .+ abs(gamma[1:end - 1] - gamma[2:end]) )]\n", "resample11 = (gamma, d) -> evaluate(Spline1D(d./d[end], real(gamma), k=1), (0:p-1)./p)\n", "resample12 = (gamma, d) -> evaluate(Spline1D(d./d[end], imag(gamma), k=1), (0:p-1)./p)\n", "resample = gamma -> resample11( [gamma; gamma[1]], curvabs( [gamma; gamma[1]] ) ) + 1im*resample12( [gamma; gamma[1]], curvabs( [gamma; gamma[1]] ) );\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initial curve $ \\ga_1(t)$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256-element Array{Complex{Float64},1}:\n", " 0.78+0.87im \n", " 0.761553+0.868559im\n", " 0.743106+0.867118im\n", " 0.724659+0.865676im\n", " 0.706212+0.864235im\n", " 0.687764+0.862794im\n", " 0.669317+0.861353im\n", " 0.65087+0.859912im\n", " 0.632423+0.858471im\n", " 0.613976+0.857029im\n", " 0.595529+0.855588im\n", " 0.577082+0.854147im\n", " 0.558635+0.852706im\n", " ⋮ \n", " 0.889715+0.719573im\n", " 0.899979+0.734968im\n", " 0.909894+0.750424im\n", " 0.905407+0.768371im\n", " 0.900921+0.786317im\n", " 0.887764+0.798157im\n", " 0.872369+0.808421im\n", " 0.856974+0.818684im\n", " 0.841579+0.828947im\n", " 0.826185+0.83921im \n", " 0.81079+0.849474im\n", " 0.795395+0.859737im" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma1 = resample(gamma0);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the initial curve." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(0.10727700934498144,0.9481138973125205,0.040705710689687556,0.909490204252872)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cplot(gamma1, \"k\");" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Shortcut for forward and backward finite differences." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(::#15) (generic function with 1 method)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "BwdDiff = c -> c - [c[end]; c[1:end - 1]]\n", "FwdDiff = c -> [c[2:end]; c[1]] - c\n", "dotp = (c1, c2) -> real(c1.*conj(c2));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The tangent to the curve is computed as\n", "$$ t_\\ga(s) = \\frac{\\ga'(t)}{\\norm{\\ga'(t)}} $$\n", "and the normal is $ n_\\ga(t) = t_\\ga(t)^\\bot. $\n", "\n", "Shortcut to compute the tangent and the normal to a curve." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(::#21) (generic function with 1 method)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "normalize = v -> v./max(abs(v), 1e-10)\n", "tangent = gamma -> normalize( FwdDiff(gamma) )\n", "normal = gamma -> -1im*tangent(gamma);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Move the curve in the normal direction, by computing $ \\ga_1(t) \\pm \\delta n_{\\ga_1}(t) $." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256-element Array{Complex{Float64},1}:\n", " 0.782337+0.840091im\n", " 0.76389+0.83865im \n", " 0.745442+0.837209im\n", " 0.726995+0.835768im\n", " 0.708548+0.834326im\n", " 0.690101+0.832885im\n", " 0.671654+0.831444im\n", " 0.653207+0.830003im\n", " 0.63476+0.828562im\n", " 0.616313+0.827121im\n", " 0.597866+0.825679im\n", " 0.579418+0.824238im\n", " 0.560971+0.822797im\n", " ⋮ \n", " 0.864754+0.736214im\n", " 0.874728+0.751167im\n", " 0.88079+0.743148im\n", " 0.876303+0.761095im\n", " 0.880853+0.764018im\n", " 0.871123+0.773196im\n", " 0.855728+0.783459im\n", " 0.840333+0.793722im\n", " 0.824938+0.803986im\n", " 0.809544+0.814249im\n", " 0.794149+0.824512im\n", " 0.778754+0.834775im" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "delta = .03\n", "gamma2 = gamma1 .+ delta .* normal(gamma1)\n", "gamma3 = gamma1 .- delta .* normal(gamma1);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the curves." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(0.09818192340611892,0.979037189504653,0.011000256259768873,0.942237845572892)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cplot(gamma1, \"k\")\n", "cplot(gamma2, \"r--\")\n", "cplot(gamma3, \"b--\")\n", "axis(\"tight\") \n", "axis(\"off\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Evolution by Mean Curvature" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "A curve evolution is a series of curves $ s \\mapsto \\ga_s $ indexed by\n", "an evolution parameter $s \\geq 0$. The intial curve $\\ga_0$ for\n", "$s=0$ is evolved, usually by minizing some energy $E(\\ga)$ in a gradient descent\n", "$$ \\frac{\\partial \\ga_s}{\\partial s} = \\nabla E(\\ga_s). $$\n", "\n", "\n", "Note that the gradient of an energy is defined with respect to the\n", "curve-dependent inner product\n", "$$ \\dotp{a}{b} = \\int_0^1 \\dotp{a(t)}{b(t)} \\norm{\\ga'(t)} d t. $$\n", "The set of curves can thus be thought as being a Riemannian surface.\n", "\n", "\n", "The simplest evolution is the mean curvature evolution.\n", "It corresponds to minimization of the curve length\n", "$$ E(\\ga) = \\int_0^1 \\norm{\\ga'(t)} d t $$\n", "\n", "\n", "The gradient of the length is \n", "$$ \\nabla E(\\ga)(t) = -\\kappa_\\ga(t) n_\\ga(t) $$\n", "where $ \\kappa_\\ga $ is the curvature, defined as\n", "$$ \\kappa_\\ga(t) = \\frac{1}{\\norm{\\ga'(t)}} \\dotp{ t_\\ga'(t) }{ n_\\ga(t) } . $$\n", "\n", "\n", "\n", "Shortcut for normal times curvature $ \\kappa_\\ga(t) n_\\ga(t) $." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(::#23) (generic function with 1 method)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "normalC = gamma -> BwdDiff(tangent(gamma)) ./ abs( FwdDiff(gamma) );" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Time step for the evolution.\n", "It should be very small because we use an explicit time stepping and the\n", "curve has strong curvature." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "1.0e-5" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dt = 0.001 / 100;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of iterations." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "3000.0" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Tmax = 3.0 / 100\n", "niter = round(Tmax/dt);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialize the curve for $s=0$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256-element Array{Complex{Float64},1}:\n", " 0.78+0.87im \n", " 0.761553+0.868559im\n", " 0.743106+0.867118im\n", " 0.724659+0.865676im\n", " 0.706212+0.864235im\n", " 0.687764+0.862794im\n", " 0.669317+0.861353im\n", " 0.65087+0.859912im\n", " 0.632423+0.858471im\n", " 0.613976+0.857029im\n", " 0.595529+0.855588im\n", " 0.577082+0.854147im\n", " 0.558635+0.852706im\n", " ⋮ \n", " 0.889715+0.719573im\n", " 0.899979+0.734968im\n", " 0.909894+0.750424im\n", " 0.905407+0.768371im\n", " 0.900921+0.786317im\n", " 0.887764+0.798157im\n", " 0.872369+0.808421im\n", " 0.856974+0.818684im\n", " 0.841579+0.828947im\n", " 0.826185+0.83921im \n", " 0.81079+0.849474im\n", " 0.795395+0.859737im" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma = gamma1;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Evolution of the curve." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256-element Array{Complex{Float64},1}:\n", " 0.779911+0.869658im\n", " 0.761553+0.868559im\n", " 0.743106+0.867118im\n", " 0.724659+0.865676im\n", " 0.706212+0.864235im\n", " 0.687764+0.862794im\n", " 0.669317+0.861353im\n", " 0.65087+0.859912im\n", " 0.632423+0.858471im\n", " 0.613976+0.857029im\n", " 0.595529+0.855588im\n", " 0.577082+0.854147im\n", " 0.558635+0.852706im\n", " ⋮ \n", " 0.889715+0.719573im\n", " 0.899971+0.734974im\n", " 0.909471+0.750493im\n", " 0.905407+0.768371im\n", " 0.900638+0.786147im\n", " 0.887716+0.798096im\n", " 0.872369+0.808421im\n", " 0.856974+0.818684im\n", " 0.841579+0.828947im\n", " 0.826185+0.83921im \n", " 0.81079+0.849474im\n", " 0.795395+0.859737im" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma = gamma .+ dt .* normalC(gamma);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "To stabilize the evolution, it is important to re-sample the curve so\n", "that it is unit-speed parametrized. You do not need to do it every time\n", "step though (to speed up)." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256-element Array{Complex{Float64},1}:\n", " 0.779911+0.869658im\n", " 0.76173+0.868569im\n", " 0.743572+0.867154im\n", " 0.725414+0.865735im\n", " 0.707255+0.864317im\n", " 0.689097+0.862898im\n", " 0.670939+0.86148im \n", " 0.652781+0.860061im\n", " 0.634623+0.858642im\n", " 0.616465+0.857224im\n", " 0.598307+0.855805im\n", " 0.580149+0.854387im\n", " 0.56199+0.852968im\n", " ⋮ \n", " 0.890755+0.721134im\n", " 0.900799+0.736326im\n", " 0.909116+0.752056im\n", " 0.905023+0.769802im\n", " 0.89969+0.787023im\n", " 0.886136+0.799159im\n", " 0.871021+0.80932im \n", " 0.855866+0.819423im\n", " 0.840712+0.829526im\n", " 0.825557+0.839629im\n", " 0.810403+0.849732im\n", " 0.795246+0.859832im" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma = resample(gamma);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 1:** Perform the curve evolution.\n", "You need to resample it a few times." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "include(\"NtSolutions/segmentation_2_snakes_param/exo1.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Geodesic Active Contours" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Geodesic active contours minimize a weighted length\n", "$$ E(\\ga) = \\int_0^1 W(\\ga(t)) \\norm{\\ga'(t)} d t, $$\n", "where $W(x)>0$ is the geodesic metric, that should be small in areas\n", "where the image should be segmented." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Size of the image $n$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "200" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n = 200;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Create a synthetic weight $W(x)$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "200×200 Array{Float64,2}:\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " ⋮ ⋮ ⋱ ⋮ \n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nbumps = 40\n", "theta = rand(nbumps,1).*(2*pi)\n", "r = .6*n/2\n", "a = [.62*n,.6*n]\n", "x = round( a[1] + r*cos(theta) )\n", "y = round( a[2] + r*sin(theta) )\n", "W = zeros(n, n)\n", "for i in 1:nbumps\n", " W[Int(x[i]), Int(y[i])] = 1\n", "end\n", "W = gaussian_blur(W, 6.0)\n", "W = rescale( -min(W, .05), .3,1);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the metric $W$." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(W)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Pre-compute the gradient $\\nabla W(x)$ of the metric." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "200×200 Array{Complex{Float64},2}:\n", " 0.0+0.0im … 0.0+0.0im\n", " 0.0+0.0im 0.0+0.0im\n", " 0.0+0.0im 0.0+0.0im\n", " 0.0+0.0im 0.0+0.0im\n", " 0.0+0.0im 0.0+0.0im\n", " 0.0+0.0im … 0.0+0.0im\n", " 0.0+0.0im 0.0+0.0im\n", " 0.0+0.0im 0.0+0.0im\n", " 0.0+0.0im 0.0+0.0im\n", " 0.0+0.0im 0.0+0.0im\n", " 0.0+0.0im … 0.0+0.0im\n", " 0.0+0.0im 0.0+0.0im\n", " 0.0+0.0im 0.0+0.0im\n", " ⋮ ⋱ \n", " 5.73319e-13+6.05738e-13im 1.39155e-12+1.44751e-12im \n", " 2.52687e-13+2.62457e-13im 6.15064e-13+6.29274e-13im \n", " 1.0858e-13+1.11022e-13im … 2.64899e-13+2.66898e-13im \n", " 4.57412e-14+4.59632e-14im 1.11466e-13+1.10578e-13im \n", " 1.84297e-14+1.82077e-14im 4.55191e-14+4.4853e-14im \n", " 7.32747e-15+7.32747e-15im 1.82077e-14+1.77636e-14im \n", " 2.88658e-15+2.88658e-15im 7.10543e-15+6.88338e-15im \n", " 1.11022e-15+1.11022e-15im … 2.88658e-15+2.66454e-15im \n", " 4.44089e-16+4.44089e-16im 8.88178e-16+8.88178e-16im \n", " 2.22045e-16+2.22045e-16im 4.44089e-16+4.44089e-16im \n", " 0.0+0.0im 2.22045e-16+2.22045e-16im \n", " 0.0+0.0im 0.0+0.0im" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G = grad(W)\n", "G = G[:,:,1] .+ 1im*G[:, :, 2];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the image of the magnitude $\\norm{\\nabla W(x)}$ of the gradient." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(abs(G))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Shortcut to evaluate the gradient and the potential along a curve." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(::#27) (generic function with 1 method)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "EvalG = gamma -> NtToolBox.bilinear_interpolate(G, imag(gamma), real(gamma))\n", "EvalW = gamma -> NtToolBox.bilinear_interpolate(W, imag(gamma), real(gamma));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Create a circular curve $\\ga_0$." ] }, { "cell_type": "code", "execution_count": 153, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "r = .98*n/2 # radius\n", "p = 128 # number of points on the curve\n", "theta = transpose( linspace(0, 2*pi, p + 1) )\n", "theta = theta[1 : end - 1]\n", "gamma0 = n/2 * (1 + 1im) + r*(cos(theta) + 1im*sin(theta));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialize the curve at time $t=0$ with a circle." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "gamma = gamma0;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "For this experiment, the time step should be larger, because the\n", "curve is in $[0,n-1] \\times [0,n-1]$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "dt = 1;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of iterations." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Tmax = 5000\n", "niter = round(Tmax/ dt);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the curve on the background." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(-0.5,199.5,199.5,-0.5)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lw = 2\n", "clf\n", "imageplot(transpose(W))\n", "cplot(gamma, \"r\", lw)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The gradient of the energy is\n", "$$ \\nabla E(\\ga) = -W(\\ga(t)) \\kappa_\\ga(t) n_\\ga(t) + \\dotp{\\nabla W(\\ga(t))}{ n_\\ga(t) } n_\\ga(t). $$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Pointwise innerproduct on the curve." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(::#29) (generic function with 1 method)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dotp = (c1,c2) -> real(c1.*conj(c2));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Evolution of the curve according to this gradient." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "128-element Array{Complex{Float64},1}:\n", " 197.99+100.0im \n", " 197.872+104.808im\n", " 197.518+109.605im\n", " 196.929+114.378im\n", " 196.107+119.117im\n", " 195.053+123.81im \n", " 193.77+128.445im\n", " 192.262+133.012im\n", " 190.531+137.499im\n", " 188.582+141.896im\n", " 186.419+146.192im\n", " 184.049+150.377im\n", " 181.475+154.44im \n", " ⋮ \n", " 181.476+45.5598im\n", " 184.049+49.6232im\n", " 186.419+53.8079im\n", " 188.582+58.104im \n", " 190.531+62.5009im\n", " 192.262+66.9882im\n", " 193.77+71.5551im\n", " 195.053+76.1904im\n", " 196.107+80.8831im\n", " 196.929+85.6219im\n", " 197.518+90.3953im\n", " 197.872+95.1919im" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N = normal(gamma)\n", "g = - EvalW(gamma) .* normalC(gamma) + dotp(EvalG(gamma), N) .* N\n", "gamma = (gamma - dt*g);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "To avoid the curve from being poorly sampled, it is important to\n", "re-sample it evenly." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "128-element Array{Complex{Float64},1}:\n", " 197.99+100.0im \n", " 197.872+104.808im\n", " 197.518+109.605im\n", " 196.929+114.378im\n", " 196.107+119.117im\n", " 195.053+123.81im \n", " 193.77+128.445im\n", " 192.262+133.012im\n", " 190.531+137.499im\n", " 188.582+141.896im\n", " 186.419+146.192im\n", " 184.049+150.377im\n", " 181.475+154.44im \n", " ⋮ \n", " 181.476+45.5598im\n", " 184.049+49.6232im\n", " 186.419+53.8079im\n", " 188.582+58.104im \n", " 190.531+62.5009im\n", " 192.262+66.9882im\n", " 193.77+71.5551im\n", " 195.053+76.1904im\n", " 196.107+80.8831im\n", " 196.929+85.6219im\n", " 197.518+90.3953im\n", " 197.872+95.1919im" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma = resample(gamma);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 2:** Perform the curve evolution." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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hPvtMiJ07g7ffW5Hnn9c/FtavF2LWLCG6dxeiSBE+VrasEG+/LcSmTUI4HMGZ07lzQvTrJ0REhBAFCggxbJgQcXHmxtixQ4j77vN+vBcrJsTixcF5HxKJQaRYkUiEEGLpUiFKlPB+4n70USGOHzc39tatQtx/P7dv2JD7CoZYuHRJiHHjKEosFoqUli2F+OEHIS5cCPz+bhcOHtQ/Hl580fk6u12Iv/8WondvXuABIUqVEuLNN4XYvDk43/m5c0K89RZFS3Q0RXRqqvHt09OFGDtWiHz5vB/7ffsKkZgY+PcgkRhAihXJ7U1yMi8m3k7Ud9whxMyZ5i44p08L0a0bt69enXengb5gpafTYtOxoxA2mxChoRRUkyfTUiQJDA8+qH9sJCVlfX16uhBr1gjx2mtOEVytmhCffx4c4Xj2rBCvvEILWqVKQsybZ+5YO3lSiMcf9/47qFpViG3bAj9/icQLUqxIbl927qSI8HaC7t5diNhY4+Nevy7E0KFC5MkjRNGiQowfb85lZITDh4X44AMhSpbkHGvUEOLLL4W4eDGw+5GQdev0j4+ZMz1vm55Oa1rnzkKEhVFQPvGEEAsWBP642LWL1jRAiObNhdi+3fi2iiLEb79RmHv6PdhsQowaxfclkWQTMsBWcnsyZQqzfVJT9V9TpAhrq7Rvb2xMRQGmTQMGDmRQ61tv8e8CBQIzZ4eDVVXHjmVabVQUq5326MEKuTdD1kZaWuZqs3Fxzsq0RnoDqeu8eTNXw82fP/hpxHpF4KpV009xdufKFZbYnzyZmVglSrCeTp8+DHoO1FyXLGF22cGD5rPVLl7knPQq+Kq0bs3sIpniLMkGpFiR3F6kpDDTx1uBt0cfpaAxegHZs4dVZjduZLrrp58GrphbQgIrm44dyzooTZoAvXuzw3JkZGD24S9C8EJ88qSzcqy6nDzJirBXrjATxRMWCwWJWm7fbqeYsds9b2ezOcVLiRLOKrqu1XRLlvSvgN1XXzFdWIurV83VxRGCzRAnTWJLBbud3Zb79QPuucf3ObpitwMTJrBxZloa8MknPG6MpMYLwW379WP2mB5lyzK125d2EhKJCaRYkdw+nDjBxm3//af/mogIpnT26WPsTj0lhXetn34KVKzIVOYHHgjMfI8dY5+XyZNZTfXpp2mtqV8/MOP7yqVLFGdqbyB1ce3HExHhFAllygDFijn7AamiolAhptzmyeO0oOhdSIXI3CPo+vXMvYBcl7NnnaX1L11yjhEayjRk9yq8FSsau4BfuqSf4j1nDtOWfSEujqJl3DiW3G/enCKhTZvAlPSPi6OFb/x4oEEDipBatYxte/AgK+d6KiYXFsb+Qi+95P9cJRIdpFiR3B4sXUqXiaeOtHXq0KxdtaqxMVeupDXl5EleDN57jxYBf9mzBxg+HPj9d7qQXnmFlUtLlfJ/bLMkJLAejFrVdetWugkAXqSqVMlcel8VKEWL5g63VGKi09pz7BgbQqpl9q9c4WsiIlgnpUEDZ1G8ChW053/HHZkFkMojj9D14g92O2vhfPklOzlXrsxj6vnnaTnyl/XreSzFxAD/+x8wZIixqsR2O2sBjRxJV6cePXuyp5XsLyQJBjkXLiORZAMOhxAffcRUXk9Bg/37G0/5vHyZKauAEM2aCbFvX2Dmunu3EJ06cdxy5YT47jsG62Ynp08L8fPPQrz8shA1azo/t+hoIVq3FmLwYCHmzBFi//7AB4dmJ4rCWjQrVgjx1Vf8Pu++O3P2V/v2DCTdsMH5Xr/5Rv8YCiQbNzIIFxCiQgUhpkwJzOedmsrfQ1iYEBUrCrF8ufFt160T4s47Pf+O6tYV4tgx/+cpkbghxYrk1uX6dSE6dPB8cs2Xjxdfo/zxBzN8oqOFmDgxMEW/3EXKxInmamX4Q2IiU5/79XNmRlks/Pull5gCvW9f8Iqb5TauXBFi0SIhBg1iQT21/kiBAkI8+aQQH3+sfyydPBn4+ezYwf0CFBc//hgY0XLwoDMdu3t3Ia5eNbbd+fOe07gBIQoVYtq2RBJApFiR3JqcOydEvXrea0bs329svGvXhOjZk9u1b8/x/eXAgZwRKSdPMs354YeFCA/n/kuVEqJHD1ZjlfVZnNjtLOj24YdCNG7MOiZ6x9OsWcGbh7to+fln/wWkoggxaRIFWfnyrMZrBLtdiAEDPP+2wsKE+OUX/+YnkbggxYrk1mP3biHKlPF8Mu3USYiEBGPjbdzIC0TevDy5+1vY7fJlIV5/nfU2ypTJHpFy9KgQo0c7y/2HhQnxyCN0gezbJ8vvGyUuLrO7yHXp0CH4rrHt253Wwjp1hFi92v8xjxxxCrFBg4RISzO23W+/ea98++GH8tiSBAQpViS3FsuXCxEVpX/ytFqFGDPG2Ak0LU2IIUN4Em/YUIhDh/ybW2oqLRoFCwqRPz/jIZKT/RvTE6dPcx916/K9R0QwDmL6dONmf0lWPvtM//gqXJjusxUrgus627DB2dfniSf8PzbtdsayWK1C1K9PN5ER9u+nhdKTYHnhhexza0puWaRYkdw6TJ5Ma4WnC4nRO9FDh2iFsFp5d+jPHbOiCPHnnyyDHhLCsujnz/s+nidSU4X4/XchHnuM+8qTh6X4Z840bkmSeGbJEv1j7L33aIVTXXsffhicWBYhKIamTxeidGlWle3f33wzQ3f++YfHaWQkKy8bEfXXrjldVHpL8+bmqkBLJG5IsSK5+VEUIQYO9HyyrFTJ+N3nvHm0ztx1F+MV/OHQIcaGACyDvmuXf+PpsXcvL1ZFi3Jf993HBobSghJ4jh3TP86E4PG4fj0DV/PmZcBy69ZCzJ4tREpK4OeTmEirSN68FOT+uiqvX2c2GCDEs88ay0hzOLzHsVSpQnekROIDUqxIbm7S04Xo1cvzSbJZM2NBo+npQrz/vtO07s+FPi1NiE8+oeulXDn2gQlGE8N585wdnYsUYVbP7t2B3Y8kM0lJ+seau+snIYExSQ0bOr+jwYMDE6DtztmzQnTtyv08+KBxV44eM2bQwlKjhhAxMca2GT+e1ki9z+fOOwOX6i+5rZBiRXLzkpbGOz9PQuXZZ43dzV68SAtISAhjEvwRFps2sUaJ1cq7zUDXSrl2TYixY53uhiZNeNcu4wKyD73jzdN3vXcvA6vz5mWAc/fuwbG0LV/O2izh4bS4+HNc7NkjROXKtDTOm2dsmyVLPAfeFilirsGiRCJkI0PJzUpqKvDMM8C8efqvGTyYlTe9VVL991+WSk9JAWbOBFq08G1OCQnABx+w9Pi99wITJ7IqbqA4fZr9gSZMYLn5Tp1Ylv2++wK3j0CjKMCFC6wge/Zs5iaG6pKQoN3IMD1du5FhRARQsCBL9hcp4lwXKcIqv+XKGavM6g96x9SFC/ol+VXi43lsjB3L7/Thh4H+/VkFN1BVf5OSWAX5889ZZXjiRFbm9YWEBODFF4E//mCl5uHDvbcn2LmT7QLOnNF+PjqaFX8bNvRtTpLbDilWJDcfSUls4rdsmfbzoaG8oHfv7n2sSZNYyr5OHTZk87Wk/d9/84QeF8deQa+95l/TPFfOnGGp84kTeRF++WWOX6ZMYMb3FyF40d29m6XsDx929uY5cSJzZ2uLhRcqtVty4cJsKaCKEdfFanU2MlQ7M6emsrFeXJxT7Fy+nLV7drFiFC3lyrGh5N13AzVrskNyIISMnqhISGAHaCPY7TzmvviCbQzuvRcYNgxo2zZwomXnTqBXL47/xhs8jnx5/0JQ+Lz3HsX8zJneuy2fOQM8/jgbNmqRNy+wcCHw4IPm5yO57ZBiRXJzkZDAk/m6ddrPh4ezp06bNp7HURTgnXeAMWOAV19lR11f+vqkptKaMmYMT+JTprA3TiA4exYYNYrCKzKS/Vxef934xTAYOBxsYLhxIy+EqkBRmxjmy8eeNqpQUDsflysH3HknLSJGmgaaQQgK2EuX2Ajw+HH2ATp+3Pn3iRN8XUgIexjVrMmlbl1aHAoVMrdPPTGhKOaFhhDAmjXsjrx2LTsYf/ghO38HQrQ4HLTivP8+cNdd7H/la2fnlSuBzp35PS5ezPE84e33GhHB3+tjj/k2H8ntQ076oCQSU8TGsgaEni88b14hVq70Pk5iIlMtLRYhvv7a9/ns3i1ErVqMP/j888DV1Th3Tog332RwbnQ04w5yKqvn6lUhli4VYuhQZjPlz++sV1OzphBdujCQeP58Zsnk1gJg168zLXfSJCHeeIOptIULO4+dqlVZH2XKFAamenofqames4F8RVFYn6VJE47VoAHjPwL1me7axe/M3+P1yBEWxitcmPVevJGYKESrVvqfmc3GAnMSiQekWJHcHCQkOItgaS3R0Qxs9caFC7wIREay9okvOBys/Boezh46O3b4No47SUnOFNQCBVijIz4+MGMbxeEQ4t9/OY+mTZ2ZHYUKCdG2LYXJ6tXZ32AxGCgKL7xTpwrx6quZGzeWKMHmhrNmsV+QK4cOBUesuM5r6VJnBlHz5oE7xpKTmeIOsPfRqVO+jXPlCrPQwsNZw8cbKSme+3SFhjJjTiLRQYoVSe4nMdGZnqu1FC1qLLtg3z72QClWTIgtW3yby8WLrJkB0PqRlOTbOK4oihC//uos7vX229lbQCs+Xohp04R45hmntSF/fl5cvv+ePYxyq8Uk0MTF0Zrxv/8xZRdghlijRhSP27YJ8dNP+lkugURReAG/+26KqF69AldMcPlyphEXLCjE3Lm+jZGSIsTzz/O9jxzp/Rjxlr0XHk7LkkSigRQrktxNSgp72Hiq22CkGeGqVbS+VK8uxPHjvs3ln3/Y8O+OO4T46y/fxnBn0ybnHXSHDv6XTTdKXByb4bVtS7cAwMaPH3wgxNq1xvvD3OqcOkXXUceOtHapLjCtY7Fv3+DMIS2N7spAt2m4fJn1hAAh3nnHtyrNisKWFADdaN6OG291kSIjjbmWJLcdUqxIci92u+cy3mXL0ozvjfnzeUF+6CHf3CqKwmJXYWG8wz592vwY7ly86CzgVbu2sVgbf0lKYnn2tm1pwVFrtHz1le/ugNuJtDS6Z/SOxz17grt/tQGm1UoL4aJF/o+pKGxwGRIiRIsWdJP6wk8/0ZXTvr33ukaKIsRbb+l/jgUKCPHff77NQ3LLIsWKJHficDhNzFpLiRJCHD7sfZyZM3kSfeop34pjJSUxdkG9c/a38Jqi0KJRuDDvlCdO5N1mMNm2jXOPjnYKlK+/Dozout1Yvlz/mGzalBftYMfz7NvHYGeArrtAuIZWrqQ7tVQp31tMLFpEV06rVnTdekJRGCek91kWLhx88Se5qZBiRZL78HYiK1KE1UC9MWUK7xiff943E/fRo0LUqcNmgFOnmt/encOHnX2Cnn3W97tYI8THC/HNN5y/Ku7efz/73Ey3Kp4urqqAiIri8bt1a/DmoSg8JlXRO2WK/3FFp07RJRkWZryJoTt//80A8WbNvGewORxO66LeDYk8XiUZSLEiyX18+KH/JuJx4/j6V17xLUVz3TpmwFSo4H8mht0uxKefUvSULSvE4sX+jeeJo0dpYs+fn+6C9u3pBvOna7SELFigf1z++y9fc/Qoe/+ULMnHGzdmF+xgWc9c3YktWvh/cU9JEaJPH4736qu+HTcbN/J3et99WTOp3LHbafXU+1wrVhTi0iXf3ovklkKKFUnuYto0/RNX3rzGgu9GjeLr+/f37e7w1195d/ngg/5n5cTE8KQdEsIsn2C5CDZuZBBoSAjvtAcOFOLMmeDs63bk3Dn94xIap1H3JpMVK1JAX7sWnPktXco4logIIb791n8ry8SJFLuPPsqyAWbZto0W0Fq1vLupUlO5H73PtnHjwAQUS25qpFiR5B5Wr3YGfrovRtMaVavMkCHmT9iKIsSIEdy+a1f/4lMUhSf8vHmFuOsu3+MAvO1j8WIG/QJCVKokxHff3Ro1UHITaWlC3HOP/sV0yhTP22/ZwtgSq9UpJI10ATfL9etOq0ibNv7HsixbRpfWPff4Ft+0dy9dOXff7b0pzyJxAAAgAElEQVTLdFISbw70PuPOnQNXdFFyUyLFiiR3cOAAT+RaJyqrla4Mb3z+OV//8cfm95+WJkTPntx+2DD/7kwvXXIWwHrppcDfTSsKU6fVlOfGjfn5yJN54ElLc6b36i1GXSXHj9PaFxlJN93gwUwhDzQLFzK9vmhR/wut7drF+j8lS/rmDj10iOUFatb07hJKSPBcoXrgQN/eg+SWQPYGkuQ8ly6x++rRo9rPjx8PvPKK5zF++IE9fgYOBEaMMLf/q1fZdXnNGmDyZKBrV3Pbu7J0KRsa2u1sktihg+9juSMEGyYOHcrePA0bsodMy5aBa3yXHaSnsxGh2n05NhZITHR2W7bbnV2XbTb2bFKXsDA2PnRthBgZGZx5pqQAzz0HzJ2r/5qlS4FWrcyNe/EiMHo0u3OHhbHj8ptv8n0FigsXgJ49gUWLgN692YTQ18/p7Fk2JIyJAWbPZs8iM+zfD9x/PxtKrlgBREV5nnfDhuzppMXkyUCPHub2L7k1yGm1JLnNSUpyWgi0lgEDvI8xbRorfL7xhnmLyKVLzJiJjmbhOF9JTxdi0CDOuXVrIc6e9X0sLbZvZ9l1gHefixfn3qqyKSm8C58zh9au114T4vHHGb+gZz1zXUJDndaHiAhnCXy9RQ1cvv9+Ibp1owtwyhSm454969vndOKEEHXret5v06b+fU7nzjEYOjycn8uYMf6nxruiKHQL5snDarwxMb6Pde0a6/NYrYzpMsu2bQy6bdbMe1rzvn3ONHutY2P5ct/eg+SmRlpWJDmHEMCzz7LdvBYdOwKzZrFTrh5//AF06gR060ZLhqfXunP2LK0Sly8Dy5cDtWqZm7/KlSt8HytWAB9/DLz7rrl5eOL8eWDQIHZzrlwZ+Owz3uXmFkvKuXPAP/8Au3ax+/KePbwDdzj4fN68zu7LZcsCZcoARYvSIlKokHOdPz+tKDZb1s9OCFpZUlO5XL3Kz/zKFX53V67wjvzECWen5bNnndsXLuzsslyrFlC7NrsO22xZ348QtKS8+irH9sSpU0CpUn58eBmcOcPjZsIEoGJFdvBu2zZw3/HevcCTT/IzmjaNx48vpKcDL70ETJ0KTJxIy40ZNm6kFappU+DPPz13OV+1CmjdmlY2d6KieMxVqWJu/5Kbm5xWS5LbmC++0L9rbdjQe9+dv/5iQO7TT5tPDT1+nBkapUqxy66vbN3Ku/rChRmQGCiSk9k0MF8+plCPHZvzJfDT0/l+x41jt+Vy5ZzfV+HCDJB87TXW6NiwgUGkgbb+JCay8NqbbwoxY4a+JSI5mXFQc+cy6LpjRwZ6hoQ4rTEPPMDaMwsWcK4nTzLV25vlBxBizZrAvi8h2MVbrcPTsiX/DxTx8c44qkGDfE+ldjiE6N2b4/jSsXzFClqSnnjCe6yPXg8mgF2yg5VZJcmVSLEiyRnWrtXvsVK+vPeCaf/8wwtOmzbmTecHDzJosEIFIY4d8/ktiEmTeOKtV49ug0CxeDGFQGgo3QTZ2dTQnZMnmdXUqZPThWOzUUz26yfE7NksJhZsl5Tq0ihePPOxUru2ue8wKYlp3mPGsJVDsWLOsby5m9Tlm2+C9jZvNC+sVInC6rXXvBdXMzP2yJEct1Ur3zOSFIWNHgEKarMsWMBju0cP78fN4MH638PTT+deV6gk4EixIsl+zp7NetFRl+ho740Jjx1jtoMR64s7u3bxAlW1qu91SNLT2aMFEOLllwNXA+LCBVosAN5hHzgQmHHNoCgUggMG8DMCeHFr2FCIoUNZLC8nal707etZQHz1lTnRqii0jnTtSsFpRKQAtAZmB6mpFFR589L6ZyQbzijLl9MSVq6csUrQWigKs+bULB2zomHqVGNiR1GEeO65nP8+JDmOFCuS7CUtjb1ptE48FosQS5Z43j4uTohq1WgVuXjR3L737mWhqtq1zW+r4hpo+P33vo3hjqIwILRgQV5Efv45e+8YHQ66bfr1o8UJoBjs2ZNBst5SToPNhQvGxUSDBpzz8eOZU7kTEthrZsYMvq8yZYyPqS7dugUn1dgTx48L8dhj3H+nTt7rlZgZt2ZNBr3+/bfv44wezbm99575bYcO5bYzZnh+XXKyfrCz1UorreSWR4oVSfbiqdvq8OGet01LY+fkggW9W1/cOXyYBaqM1HvQ48wZZg7ly+ddVBnl2DGWSQd4l++riPJ130OGOC/cxYuzqNiqVcFvrmgGT80Ds2OJjHRamWw2xrUsWJB9LQwUhRk4RYvS8jh5cmDE7NWrjI0JDWV8iK+osWcjRpjbTlHYtys8XIj16z2/9tgxxm5pfT/Fiwc++06S65BiRZJ9zJihf0Fo08ZzUTNFoY/bZmOlWzOcPMkg2MqVfa/q6W9xLHcUhSnXUVEUC0uX+j+mEZKTeeF76CF+7vnzC9GrF10iuUmguLJ0ac4JlSZNePwIwSquX31FyxzAYmcDBxrr/h0ILl8W4oUXuO/27QPTMyctjYULAd+qPquolaPNBt2mpDDlvHBh732N/vpLP66oSZOcD0CXBBUpViTZQ0wM/e9aJ5oKFbwHkX7yCV9rtvvx+fMUKWXLOi86Zlmxghf12rV9KzvuTmwsy4cDvLOMj/d/TG+cOcMLq3p32qwZ76ZvhtL8f/2V/SKlcGEG0upZT/77j1kxBQrw9Q8/nH21b/74g/MrXpyfjb8oivP31bWrbxd916DbyZPNbXvlCn+jlSt7D/r96CP97+ydd8zPW3LTIMWKJPikpbGZn9YJJiKCBc888ccffO3Qoeb2e+UK3T4lSvh+9/vnn2xq+MgjvjV0c2flSgZMRkd799UHgm3beAGy2ei+eust/1K1c4Lt27NPpERGsiS+m3hWFEV7uX5dKD/9JJSMmAqlWjWhTJgglKQk/W00FtOcPcuMHoBp3IEIep4xg8fJ44/7Np6isFNzSIgQs2aZ2/bQIQqw5s09u9ccDsaMaX13Fot/hR0luRopViTBZ8gQ/YvDzz973vbgQVo1nnrK3F3r9esUSIUL+57xMGMGA/ieesr/yqIOB8WWxcJ6JL5aeYyyerWz4m3ZsswsyQ4LTjBwOJwxI+pStizvwvftY8C1nyJFqVJFKF9/LZS4OMMCw+FwOJf0dOFYtUoo7doJxWIRStGiwjF8uHDExWV+ncNhSsR4FDIOB91S4eEU5f5UqFVZsoQ3EA8/7JvVzeGgOA4NpaXJDKtX8/f27rueXxcbS2us1ndZunTOpvpLgoYUK5LgsnGjsxCX+9Krl+dtr18Xonp1FvMyY9VIT6dPP29eFjHzhcmTKSy6dfM/kPLKFSEefZTjDR8e3NiQNWucIqVOHd7hZlcgaDA5eZKdiytUYIE394DK5GShzJghlJo1jYmT/PmF0qqVUEaPFsqOHULxQUS4i5Aby4EDQundWyjh4UIpVEg4RowQjqtXAy9WVHbtogslKiowKc6rV9MK16SJbwLXbheiXTuOYTa+S80umjvX8+u2b6fFU+v77dLF/JwluR4pViTBIyFB/w6ocmXPd26KwpNO3rzmLSP9+1Mg+dpx9uuvOcfevf3vZLxtG+tZFCoUmPgCPTZscGYV1a4txLx5t2TBLMMX+atXhfLPP8Ixf75w/P67cMycKRxz5gjH5s3CceECLSF6YsPLkp6ebmw5cUI4+vQRis0mlCJFhGPUKJF+9eqN5z3tw7SACVSFWpVNm+iqrFfPt+Jx168z3bhkSXNxXopCS2b+/N7dlWPG6AvSX34xP2dJrkaKFUnw6N5d+0QSGirEli2etx07lq+dOdPcPr/9ltuNG+fbnD//nNv/73/+X+x//JEm9bp1/auU64mjR2lpANgocO5c/wVWLiZg1g8/FsNiRV2OHhWOl18WSmioUO68Uzh++kmkp6UFVqwIwe/9k08o1Fu39r1Crcr27axLVLOmb5lHZ8/SLVO7tjnLaEICranVq3u+oXE4nFlt7ktUFGvJSG4ZpFiRBIffftO/6/FWj2H9emepeTMsWsQT9Ztv+jbn77/n/N5/3z+h4nAI8fbbHKtnz+BUfI2PZ/ZDWBjvXqdOvSVFiq9CxLSg8LLY7fYsS1pamrnlwAHhePJJuqHq1RP2NWtujKW1TzNCJhPLljFWq3x5/6sg793L+i516/rmEtq1i1aSxx4z547cu5dW1S5dPP8WT53S7+R9//25Nx1fYhopViSB5+JFniy1TiBNm3o+gVy8yPoVTZuaS6Hcvp0+8nbtfDtBTZ3KmJI33vBPqCQmsueMxeJbozdvKArjaYoWZebKsGE3R/qxj9xSYiVjsa9cKZSMWi2Ozp2F/dixwIoVIWjJq1aNF3J/my7u2EGXUNOmvh1rf/3FwNm+fc39tmbN4jnDWy+m2bP1b4zGjDE/X0muxCKEEDnd+Vlyi9GtG1vRu5M/P7BrF1CunPZ2QrCV/bp1fN2ddxrb3+XLwL33AkWLAmvXAnnzmpvv778DTz8NdO8OTJgAhISY217lwgWgXTtgzx5gxgz+HUgOHgReeQVYswZ47jlg1CigVKnA7iNYXLsGnDjhXM6dA2JjgStXuI6NhUhOBtLSuNjtQHo6YLMB4eHOJV8+oFAhiCJFgEKFgCJFgFKlIMqWhShbFihePNP3F6jTm9Y4ro8Z2Y/FYnH+43DAOn06rIMHA0lJUD75BEqvXjfm7vraTNt5eS7TY/HxwFNPAevXAz/+CDz7rNc56rJ5M/Dww0DjxsCCBfwuzDBhAo/d778HXn3V+Havvw5MmgRs3QpUr67/uhdfBH7+OevjkZHA3r365xzJTYMUK5LAsnw50KqV9nNTpwJdu+pvO2kS0KsXMHcu8MQTxvbncACPPALs2AFs2waULm1uvkuWAO3b86T+yy+A1Wpue5X9+4HHHgNSUoCFC4G6dX0bR4u0NODTT4GPP+b7++EH4KGHAjd+IImLo9Dcs8e57NtHQaISGgqUKAFRuDAFR6FCQMGCvLCEhQFhYRA2G2C1wmK3A6mpEKmp/BwSEoDYWFguX+aYly7BcvXqjaFFeDhEuXIQ1apBVK8OUaMGlwoVfBKhWoLE/ZSpKIqpMUNc5mGJj4dt0CCE/vgjlEaNkP7ddxBVq2oKEm+Paf2PtDRYXnmFF/IRI4D33wc0BI4hVq3iMf7II8Ds2RSSZujbl7/xdeuA++4ztk1yMn9L4eEUTHoiKSEBuOce4PjxrM89+iiwaJHv71uSK5BiRRI4kpKAmjWBo0ezPtehA0WI3gnj0CGgdm2gSxee0IwyaBAwciSwbJn5C/imTUCLFhRXv/1m/uSrsmUL0Lo1ULIkT4plyvg2jhZbtwIvvECryoABwJAhQJ48gRvfHxSFIm3jRn6WmzYBBw7wOZsNqFIFqFEDqFYNKF+ed7dlywIlSgBWq0drhPtzWkLhxmNXr8Jy8iRw/DgsJ04Ahw8jZO9eWPbupagBIAoUgLjvPigNG0Jp2BDivvto6fNC0MVKxu8hZP162Pr2heX4cTjefRfKe+/dOB79EisALADw0UfA0KFA797AN9/4bj1cvJi/5WeeoQAyIwDS0oAHHgDOnAH++4+WUCPs2EFx068fRbsea9dyfC1mzgQ6dzY+V0muQ4oVSeB47z3tk0lUFO+uS5bU3s5uB5o2pUtgxw6a+o0wfz6tIqNGAe++a26uR44ADRvygrp8ORARYW57lbVrgbZteVFevBiIjvZtHHccDn6WQ4cCtWrRjF+rVmDG9ofz5/l5LVvG9YULvPDVqgU0asTl3nuBypU1xZ83d4r7Y97WHp8TAuL8eYTs2YOQbdtg3bwZ1i1bYImLg7Baodx3HxwPPwylZUsodepkuoBrCRAjc9F6T3qCwmKxZBYdKSkIGz0atjFjoNSpA/uPP0JUrJhFmGTZTmOtud8pU2i57NoVmDyZFi5fmDmTNxVDhwLDhpnb9vRpHh/33AP89ZdxS+bo0fyNr1wJPPig/utefhmYODHr43fcQSFdsKC5+UpyDVKsSALDzp001zocWZ/77jve0ekxbBhdHOvXU0AY4fBh7u+hhxhzYuYOLzaWvndFoTWgcGHj27qybBnvMhs1Av7807jI8sbx47ygbNhAs/3QoXSP5BQxMbQ8/f47XW0AUKcOLVIPP8zvzOB7z1axAg3RoSiwxMTAunEjQleuhHXVKlgSEiCKFIGjVSukP/kklBYtoHgQWkETKxmEbNmCiJdeguXCBdhHj4by4ouA22t9EisWC2OpunZlbNgvv/h+XI0cCQwcSOtKt27mtl25EmjZkjc3I0YY28bh4LF25AjdjHo3BXFxQNWqFNHuvPSStpCR3BRIsSLxH4eDF+wtW7I+17gxfdR6ZufNm2lVGTyYF2UjJCXxApmSwn0WKGB8rqmpdNns2cN933WX8W1dmTePZuWWLXkh99Uy486vvzIAsVAhBik3axaYcc1y9CgwfTowZw6wezfjSdq2BR5/nO+5WDFDw+idXjwFpwpmKWZ6zn2tKEoWIeL6vychkekibrfDumULQv/+G7aFC2E9eBAiKgr2Rx+F/cknYW/RAggNzTQndT+u+zATYHvD9RMSovkYAFgSE5Hn/fdhmzoV6e3aIWXcOIQUKeJ1O639ZBEwf/7JgPJWrfj9+nLsCsGL/7RptLDpuV/0+PRTipU//zQeiH7yJC14jz3G34kes2fru3xWrzY/V0muQIoVif98+y3w2mtZH7fZgO3b9aP4U1NpDo6OplXFqFm6d2/e0f37L90vRhGC8R+zZvHurkkT49u6MncuT/b+3p26kpYG9O/Pz/K557g2I8ICQXIy39uUKfx88uWjOOnUiQIvMtL0kLlerLgRsn8/bPPmwTZvHqwHD0IpVgxpXbog9bnn4KhQIdN+gipWLBaEhITA+uefiHj9dYioKKT++itE7dr+ixUAWLqUVsGmTelO9SUOym5n8Oq2bbRQ3n238W3VzL81a2gpMZrV9uuv/H14CsIXgsftokVZn7v7bu4vJy2VEp+QYkXiH3FxtE64ZnuoDBrEwD49hg0DPvnEs6BxZ+FCnojGj2cqpBk+/pgWnBkzGCDoC4HKHnLl9GkKgv/+A8aNo989OzMXjhwBvv6a2VpXr/LOs0cPvkezaeAw5urx5sbRs2Ko/7uKFU/iwYhY0RIvQghYd+9GxPTpiPj9d4RcvYrUhg2R9OKLSH70USA0NMv+9fbnvh9VWLiKDtfH1LX6t/X0aUR26wbrgQNI+fJLOJ5/XvP16j4Mu4jWrKHYaNEC+OMP3wLM4+Mp+lNSePNgxqUaG0tLSZUqdKkaCfoVgpaYbdsY3B0Vpf26Eyd4TklMzPrcV18Bb75pfJ6SXIEUKxL/6NePP353KlXiHYyeiXn/flpV3n3Xs6Bx5cIFZhs1aMC7QTMX9CVLgDZt6Goy6m5yZ/Vqntz9zR5yZdUqmqzDwzlmgwb+j2kEIRgc/OWX/CwLF2bwZY8evrvGbgx9a4iVG+vkZIQvXoyIadMQvmkT0kuVQmLPnrjeuTNE/vxBFyshISFASgryvPMOwqZOhf2ll2D/7DMgPNw/sQLQwtKuHa0U06f7Jr6PHwfq1QPq1+fNhJkx/v6bsShffMFziRFOnmSG2YsvMrNJj6++0h6zYEHGvBUqZHyekhxHihWJ78TE8O4lPT3rc8uWMbZBC0Xh3fuFC54FjSuqaXfLFsZQ3HGH8XkeO8Zg3EaNWNDKl7RN16JY8+cHJkblhx9Ye+KBB5hhYTSV0x+E4AVl+HCmRVerxhP6c8/5nBIdaFePoihwuAVqq/+7ChStx9S1EbHiyR3kPm9VHIXt3YuoyZORb+FCKBERuNqlC2J79EB6RsCnp9OpR+tJxgXe03NWqxXhU6ci8t13odSpg+SZM1kUz217LZeSutYUan/8QcveCy8wANWX38fy5XQVDhliPkPo7bcpOrZsMZ7x9vXXPG43bODvWguHg7/7nTuzPvfGGxxDctMgxYrEd9q354XbnbZtKQr0UKtZrlrlOQ3RlfHjGauyYAHHN0pyMv3y8fG8OPuSurhzJ+dZowbTLX1wjWRCURhcOHo0xcpXX/meRmoUVaQMG0YT+v33M5ujVSufXE5GrSee6qW4W0RU8eH6nLpWn3Ndaz2mbqMnhIxaHjwJKEVREHrhAgpNn47Cs2YBQuDiM8/gwnPPId1DnJG7WLFarZmEiOs6JCQky2OhGcdI+PbtKNCtG0RUFJLmzIFSsWKm7cy4iFQs06czq+f113k8+uKGHDGCrt9FixgEa5SUFNZREYKCxciNgMPhDLL/7z/9GJSVK7XrL4WGMsjeTJyNJEeRYkXiG76eBM6dY2rhU0+x1oMRDh5kquwLL7Bct1GEAHr2ZIzKpk0sOmeWU6fomrnzTr5nPR+5UZKTeVH4/Xeavt98M/jxKWvWAP/7H8Vas2bAhx8CzZv7NeTtLlbU/Vnj4lBk6lQUnTkTCAnBhS5dcL5rVygawciBEitWqxW2U6eQv3NnWGJjkfTrrzeCxX0WKxaL84bAl7pF/GAYtLt+PQVE+fLGt929m66kvn35uzDCjh3cZvhwCm89fL2pkuQqpFiRmMfhYGGnXbuyPufNvPr004z9OHDAmM9YUWgZuXyZgbhmrBoTJzJY9aefKHTMkpDAfSck0A1UvLj5MVy5coUnyJ07mdXQoYN/43nj8GHgnXdo5r/vPl6EHnzQL3Hka+yJ1tpVnADaLh51bbfbM70mPT0d6RnuR/e1VqaQq1hxd4+4/681Xy1xpM5JCAFrbCxKz5iBknPnwh4VhaMvvYTzLVtmcqm4u3pCQ0N1BUlISAhsGTFR6mOZxIrNBktcHAr27InQ//5D0vjxsHfokEkAaYkWTwINACxDhzKGbPZsuobMEh9P10uBAnTRmHEtfvEFXULr1vF3Z4R33+X5Zs8e/VgrT+7q5cvp3pXkeqRYkZhn8mTWWHDHW+Da6tW8o/fWI8iV778H+vQxXx9h3z6eNLt1Y2yIWex2xshs3syTrtFsJT3OnWMMz8WLNJPXr+/feJ64do3unnHjKLBGjWL2k68l1l2QYkVbrKj7Cz93DhV++AF3rF6NhLvvxuG+fXE1I70+0GIFAEIdDuR7802E/f47kr/6Co7u3f0TKwDw/PO0/K1apR8P4omdO+mieeklHoNGcThoIUpI4I2JkWaJSUm01Napw9pHeuglAtSoQQtNILL6JEFFihWJOVJTeQdz+nTW5zylBCoKTbY2G10yRi6cZ8/yRPT00+YqT6al0XWj+rPN1gcRgoXZpkxhjIq/TQNPnODdW3IysGIFUzWDxfz5NKXHxtI03r+/372EPLl8vAkSLSGiPufu4nH9X0ucAE6BYLfbNR9Tt9HKEAKMu0nct0tPT9edi6u4Ul9fcO9e1Jg0CdFHjuB469bY160blAwXoqvocBcirmv1b1WYuK4zPaYoKDBoEPL8+COSRo2Co0+fG+O7rj0F36qoZf/RsiXdr5s3Axn1ZUyh1l5avJgZdEbZtYs3GUOGsMyAEdTy/ytX6rs3PZVY+OUXBphLcjVSrEjMoVcArnJlmmL10nl/+gno3p1WisaNje2rY0f6v/fvNxcY+957NClv3kx3lVlUc/SUKZyzPxw6RLETGso0TTN+fDOcOUMX3Ny5DG787js2DQwAUqyYFytCCEBRUO6vv1B16lQ4IiKw55VXcL5xY4Rm/EYCJlYAhFqtiBw+HJHffIPUoUOR9vbbvosVgG7XRo143G7aZL7nlRA8DnfsoAAxk+n2/vv8De7aZSwAVgieU5KTeXOiZyUZN46/EXcqVwb27g1+kLvEL6RYkRgnJQWoWJEWD3f++EM/BuP6dZ4Q7r+fd0FG+PNPjme2W+rq1SxyNXKkb0GCq1bRCvK//3nu8GqEAwcYI1KwIC0qeo0c/UEI1sfo25cWlLFjGWsQgKBdb6nH6tpTTRSttGJ17e5WcXXj6AkR13VaWlqmx9T/HQ5HlrmoWCyWTJYNQNtNoiWy9Obkuj+tQnGRsbGo//PPKL1tG07Vr49tr7yCtKgoTUHi+r86v/AMd0hYRsZLWFjYjb8ziRYhEPX118j72WdIGTAA6UOGZHqfVqvVY1qz62cEgLEeDRrwd/vHH+bdiOfOsS5Ss2aeO667k5zM7UqV4u/RyHabN1NcTZrEoHot7Ha6cw8dyvqcGde0JEeQYkViHL07k7p1mXKod1IZMgT47DOalY3c7ScksP7HPfcw3dboSS4+nnUaKlSgFcOsH1rtCFurFt0//txpHTvGk3SBAjzhmqkLY5S4OGZvzJrFOIOxYwPSVdZIVo+WhcSTINGyoqgXf3exkp6efkMIqI+pQsR1rfWYuo2WaAAyx4loiRb1Iu6+nau1x31Orvtzt7Dc+FsI3LVzJ5pNnw4lNBTrevTAhdq1Na0m6lr9212shIeH33jM/TmbzYb833+PvMOHI2XIEKS9/bZmjIwnC0sma4taMfqTT2jxMMsff7CsvicRocWKFXRFTZ7MQoVGePZZuoIOHQLy59d+zS+/aIuSu+6iBVdaV3It1mHDzFbwkdyWpKTwjv369azPTZigb649dYonkX79mK5shIED6f5ZvNic+fnll2k6XrbM/EU7NZUVbpOSmCGgd7IzwpkztKjYbLT0+JtFpMXKlayRsn8/XWyDB/sdm2IGb4G16trTc2aq0/qbuqxi1g3k+h715uStCF3G4LhasiRiGjZE8WPHcO/8+QhLTMTF6tUhdFKY9USVq0XG/Tmr1QqR4WbN88knUAoXhqhXL8t7N9ytuXJlBr5++CEzdMzGr1StypuAzz9nkLfR32WFCmym+c03DNQ1EndWvz73oyi0rmpRvTrF/ZUrmR+PjaVgueceY/OTZDvSsiIxxtix2sGz9esD//yjb/3o1o3iwdPdjiuHDvGEMnQo8MEHxue3dCnwyCPAjz+yDLdZ+vbl3d+6dUzz9ZWLF5m1lJjIsX5v5KkAACAASURBVAIUN3IDReFd7pAhDCb8+WfjTeC8YMTV4ylzx71eipagcLWm6GXzuFpW3F08qampN9auf7u+xnW/7rjGibi7XlzdJO6fgatlxX1O6enpWd6nlni5ITZCQnDP2rVoPH8+4kuUwN+9eyPlzjsBZLaQqPOLyCiSplpRIiIisjzmamEJCwujS2j4cER89x2Sv/8e6c89l8my4km0ZKns63Aw/mTbNi6lS2t+trpcv86sm8qV+Ts1aim9eJECont349VmBw0CxoyhFbdMGe3XqM0Q3ZHWlVyNFCsS7yQn807n/Pmsz3mqVrl/P4XHt9/SXWGEDh2YtnjggHFLQWIiT4YVKtB8bDZeY8YMWn98aY7oyrVrFCpnz1KoVKrk+1haxMVR/C1a5MyWCGDKZXaIFUdcHELPnIHl1ClYTp1C6MWLsMTFwXr1Kizx8QhJSWFsgd0OS3o6FKsVSlgYHKGhcOTJg5R8+WCPikJy3ry4FhWFxDvuQFyBAkguUABpLkIoV4uVjP0VO38ej0yciLDERKx/9VWcqVUrcGIFgC00FJH9+iHsl1+Q8vPPwFNP+SZWAAbc1q1LK+G6dea7Fi9eTMul2cybTz+lADFabfbaNZ4HnnqKv2ctHA7GxOzfn/U5X292JEFHihWJd/SsKg0aMFNATxx06QJs3EhriZGT26pVNN+a7Yr8zjuMp9m923wTvhMnaPp97DEGqvoamJqezoZw69dzMdrjxCi7drHZXFwcT/hmypkbwGi9FC1XiHuWjMPhAISAiImBdcsWhO3fD+uBAwg7dAihLoJXhIbCXrgw0gsUgKNAAdjz5YMjIgKOkBA4rFYgJAQiLQ0hdjtEaipCk5IQmpCA8IQEhCUkICwp6cZY6TYbrhQrhislSuBiiRK4UKIEzpcpg7SMC756AXZ1oagXdVeXSohbEKmrWNGLn3Gt+aKV9aSO4e6ysdlsyGe3o9XUqSi7fz+2tmmDXe3aASEhCAsLyyJW8mSI94iIiEx/u67Dw8MzBeLC4UBU794IXbwYqUuWwJJRN0XLBea6dv8bALsqN2nCwPWPP4ZpnnmGsWQHDhjvzpySQldSjRrGq81+9hkFzqFD+pZNNd3ZnYoVaZWRdVdyHVKsSDzjcNBCcOxY1ueWLKHrRYu9e3n3Mn48Y0mM7KduXfqmN2wwLhq2b6cr6qOPzAcAOhwUR8ePs5CV2fRMFSHoRpowgXeQrVr5No4eS5aw1sxddzGrIgjpz36LFSEgdu+GbdUqWNetg+2//xCSUdMivUwZpFauDHvlykipUAH2UqWQUqwYUqKjAas1iwjQSkt2d/mkpqbCER+PfFeuIPz8eRS4eBEFTp9GkbNnUfj8edjS0qCEhOBiiRI4U64cTt51F07edRdEvny5SqyodVIaLl+OeosX41jduljbowes+fIFRqwAsDkciGzfHtbDh5G2bh1QvrxvYgVg/58hQ9ixO6PEv2HOn6fw6NCBFgyjzJ7NjECj1WYTE4Fy5SjuJ0zQfo3DwRuKffuyPvf77wwKluQqpFiReGbuXO3A2IYNaTXRExWdOzOWJSbGmFVFrYq7eTMtNkZIT+c80tJYX0Gvxosen35KgbNqlbnquO6MGcNU54kTtSv7+sP337OuTdu29LX720TRDaOBsprBpSkpsCxfDuv8+QhbuRIhFy9C5MmD1Hr1kFavHpLuuQeJ1atDKVAgSyaNliBxvfjrpSV7illR1460NBS+eBGlT51C6VOnUObkSRSKi4MjJASny5bF8WrVEFOrFpIzAp9d3UHu2TKu79ddrKj7s9vtmkG+rmsgqxvIvV5KxV278Ogvv+BSqVJY/tprEBnWB3exkidPnkx/u64jIiIyZQ2pY1uuXEH+Vq2AsDCkrVqFkIwq03qixf3vG6Sn87dy7hxrqJjtlTVpEtCrFy0sekGw7gjBzLpr1xgzY8TqMXo0A/UPHaJw0UIVQe40bUpXlyRXIcWKxDNNm9LS4Y6nuip79vCu5YcfeGLyxvXrtN60aEFXjFG+/ZZdYjdtMi5wVLZto9Dp35/l6H1l3jzehb37Lmu7BApFAQYMcDY7HDMmW+JTuGv9eimO1FRYV6yAddYs2P76C5br15FeqRJSWrVCUpMmSK1XD/aMebqmF2vVSXEXIloF39yfMyRWHI4s769IfDwqHT2KKsePo8KxY7Clp+N8qVI4WKsWDjdogMToaNhstkzl7t0/AyOWFXex4ir0tErru8fPlDpzBo9PnAh7njxY9tZbSChW7IboiMzIiImMjNQVK3ny5MkSx6KOHXb8OCIfegjKPffAsXAhYLOZFysAs3TuuYfZgVOmaL9GD0Vhptz58zxPGI192bKFge8TJhg7pyQmMnalXTv96tcOB4N+jx7N+ty//wa3JYbENFKsSPT5919tEVChAi0mehfPTp3Y4Tcmxpi149NPGSzqycfsjlo+u0MH492bVVJSWE8lTx4KHbPBgioHD/KE1qoV79IC0HsHAO9ee/YEpk1jFsTrrwdmXBfMihUREwPr1Kmw/vILQs6fh6NaNdifeAIpbdogJcMtpRWAmlvEinrhDQsLQ6SioFJMDGrs24fyBw7A6nDgRNWqONC0Kc7Urg3h4g7KbrFis9kQdfky2k+YgIjERPzVvz8SMwK1/RUrNpsNto0bEdamDZQ+feAYPdo3sQLQjdOjh28ukz17KHY+/5wlDYzy7LO0eBw+bKxv0JgxrGYdE6PvOtWLx+vShZZMSa5BihWJPl26aFecHTtW/wK6ezetKkaLQF27xhPJ00+zRLxR+vfnHVNMDFCihPHtAPrcR41ivIuvDQqvX6eQUxSKOn/qsriSlsaT8rx5FCtaQYB+4EmkZIlLcThgWbkS1rFjYV26FKJgQaR17Ii0559HWsbn5lpJ1n3tKii03Dqesmvc05nVcVz/19qf6/yBrMXPwsLCMmXVhCUno8aePai2eTOKnzyJxOho7G3RAjEPPIC0fPlujOOa9eRpvp7EilZ9F71mhflSU9Hu228RdfkyVg4YgMsVK2ZyB7kKF/Uxda2+LkvsSoblyPrddwj73/+QPn06f3fQzgbyKFaEYEzIP/8wq8ZsvNerr7LeyeHDxoNtDx5kscixYxkj5o2kJJ5b2rbVv6G5do2p2FevZn7camWcntk0bUnQCNCtoOSW49QpYM6crI8XKOC5X86YMfyBd+tmbD/ffMMTxsCBxucWE8Psn/ffNy9U9u6lUHn/fd+FihAUYidPMqYnUEIlOZmWogULOG6AhYphHA5YZs6ErV49hLVpA8vZs0gZPx6JMTFIGT0ayi1UOCstTx7sadIEs99+G7M/+ACnatbEvfPno/OAAWg4fToitRrfZQOp+fJhYf/+iCtRAg9/+inuOHAgYGM7eveGo3NnWF9+WTt91wgWC92wiYm0Xphl+HAK/Q8/NL7N3XdTyI8cSeuoNyIjGUs2bRpjbLTIn1/breRw8NwkyTVIy4pEm3feYZCaOwMGMDVQi3Pn6Mb55BOeJLyRkMA7ny5dzJ0Y2rdncJ+ZWiwAT47NmrF65Y4dQMYdqGm+/JKWnTlz2GwxEKSmOlOf//zTWNaDQbw1IlRR7HZY5syBdcQIWA4ehKN1azj69UNa48ZweGgoqFo0UjIuIKrFISUlJctjrmu9vj+eislpuZHc167vyd2a4Vqq3r1WSVhYGEJDQxFx9SqqrFqFKsuXIzQ1FYeaN8fuNm1wPSOY1N3aozVfrTo0Wr2ItCrXAk4rSGhqKlp99x2KHjqEjR98gMs1angNsHV/X65uoBsZScnJCG3aFBYh4Ni4EZaM92bYsqKiNjZdt47xbWb47DPepOzZY7wTeUwMM4q+/lq7oao78fEsmtivHzMGtTh5kq5t99o8BQqw+q6LhU2Sc0jLiiQrycnaQWlWq+f4ie++Y/yH0YyYcePoTjGTcrxyJTB/PuNczJaXHz+eGUwTJ/ouVLZto5Dr3z9wQsVupzl+7Vr2YgmgUDHM8uUIrV8fod26QVSoAPuGDbDPmwflgQcC0hTxZiKlQAHsevJJzP3iC+x64gmU37gRTw4YgLpz5sCWnJytc0kPD8eq/v1xqVIlNBo5EgVjYgIzcL58SJ81CzhzBiFGLvp6vPoqA9VffpmC2wxvvEEr7IABxrepXJlF5YxaV6KjaQUdP57nNS3KlNH+LV+9SquMJFcgLSuSrEyfzsZ47jzzDAu2aZGczBPPs8/Sp+yNq1dpVXnuOYoWIwjBgFabzXPatBZnz/LurUsXZin5QlISA3Pz5vUvMNcVh4Ofwdy5jFMJQLE3vZ+0Zpry/v0IeecdhCxZAqVJEzhGjYIjo5eMVhdkrfRdd8tKUkaxttTUVCRnXCC0YlfcLSKu+3MP8tXqA+QeJ6KOA2S1qLh2MHYPQHW1rKhWCNeA09CkJFResAB3z58Pe2QkdnTsiKP3349UjYq56pwyBSdn/O1usXDt1aMVfOs6Z2tKCpqPHIl8p09j6+jRcGS4MLXqrXgKsM1iyfn1V1i7d4cyYwbw9NPGA2xd2b2bv4vBgxkPloGhS8ucObB07gzx999sH2Fkv4cO0bry5ZfGgs+PHGG2oafsRL1kgrp1mSwgyXGkWJFkpUUL1h5xZ+NGtmHXYsIE3mUdOsQqkN4YOZL+6iNHgJIljc1r/ny6gFauvHFiM8yLL7JMfUyM752J+/Rh08Bt24ybrT0hBMv7T57MbCKjjR41h9J39Wj9L5KTETJyJCyjRwOlSyN9xAg42rcHLJYsjfpcA0i1snJUkaIKE3WdlJSkK1bS0tKyCCCtjsXuc9dKp3Zfu7oy3GubuAfYqo+pa/fCba6NDcMvXEDVadNQeu1axN51F7b06oX4smUzuXo8BdiquIoV9wBgrQ7J6vzy2u2o/957yBMbi73jxyOldOkbYsX1Pbl3a3YN4nVPzQ6xWBDy7LOw/P03xI4dsLgElBoWKwDEe+8BX31F16yHjD534QYhmJKcNy/POTr7zDKXF19kz7Fjx4xlBj3xBAN09+7Vv8lp1Ih1ntzZsUM2OMwFSDeQJDNHjmgLlerVae7VQlF4omrf3phQSUujNaVbN+NCRQhg2DAWpDIrVLZuZcO/jz7yXagsWsQCbZ9/HhihAjDQd+JEZk75IVRMs3o1rPfeC8vo0VAGDED6jh1QnnjitnP3mCW5aFFs698fq0eMgDU1FS0HDkTNGTNgzRBgwSY9Xz5s/fhjpOfLhypvv43Q+Hj/B7VYoHz7LZAnDyw9evC37AsffMDflplA+Yz9Y+hQWNau1T7v6PHuu4yRmzXL2Ov792cw8dKl+q/Rc1+bLY0gCQrSsiLJzODB2n0/xozhD16LJUvovli7lgGs3vjlF6BrV97lVKtmbF7z5vHuaPVqc9VmhQDuv5+Bdtu3+9ZR9coVzrNePcaUBOKirvYmGTLEXEaEG0ZSkW/8n5wMy6BBsH79NZQmTZD+7bcQGcLLU0NCV8uKe5pwSkpKJkuK+9rVJeS69pTuC3hutOfts3B1r7hbSlzL0bu6f9S1J8uK6+disdtRduZM3DVrFpKLFcPW/v1xtWLFLJ+hqwVIxVOasFbw7Y2ibhnzjLp0CbVeeQUp5crh5OTJEC7WItf35+r+UT8LrSBfALCsWIGQRx6B+PLLG3VHjHzWmZgyBZaXXoKyYYPujY1m/RshYGnYEIiIgFi9+sbvy9P+LRYLzznnztHS6e03qbqQCxfWFyzXrjG7MDEx8+MFC9KN7GucmyQgSMuKxInDQTeHOzYbxYUe338P1KljLBtACFZlfeQR40JFUWhVad7cfFn8339nhs0XX/je+v1//2Pw4KRJgREq69cDL7zAuKBhw/wfzwi7dsHasCFCxo+HY/RopK9YQb+/xCeEzYZDzzyDdWPHwhEejvvffRd3zZ2bNaMkCKSWKoUjY8Yg7759KDl4MH9T/tKyJUTfvrSQHD/u2xgvvABRuzYsb79tbk4WC8SQIbCsX08Xr1H69aOLZs0aQ/vAW2/RdXTokPZr8ue/UXcmE3FxzNCT5CjSsiJxolpI3HnqKeC337S3OXeOgbXjxgG9e3vfx+rVFB1Llxpv+Kf2JzJquVHxpWOrOytXAg89ZLzMtzdOn2YwYtWqPHEa8bdroGdR0bSsTJkC6xtvQFSqhPSffoKoUcNjSX2tmBW9Hj3Jyck3rCdaFhZ3y4prUK2WFQLwnNLranHRqrrqvr27pSQsLEyzd4661rOsuM7TPT5FpKai3JQpKDt7NmJr18aegQORmpEK7Bpgq4We5UjLOuRqMQkLC0OBpUtRZsAAXH7rLVzPsIa4Bgm7F5yzWq2an+ON9bVrsNSowaKOCxbAotPUUYsbz61ahZCHH4YyfTpERt8dQ5cYIWBt3BgIC4OyZg3gYnVynacrFoBzLV+e8WzeSE4G7ryT56lPPtF+zYYN2jddLVvy9yrJMaRlReJEzzfbo4f+Nj//TMuL0QJmX37J+JeWLY29Xgi6pR56yJxQAZiueOoU40x8ITmZAbD332+sGq83UlOZIhkRQfHno1AxTHIyQnr1Qugrr0Dp2hXpGzZA1KgR3H3ehgibDUd69cL2zz5D/mPH0KBPH0QdPBj0/V5t3RpX+vZF4a+/RkQgGu/lzw+MGwfL4sXaBSGN0Lw5RLt2sAwcyNg0o1gsUAYPhmXjRuOxK6q1ZOFCfWuJK3nyMPPup5/Y0kKLxo1ZfM6dFSuAEyeMzUsSFKRlRULi4oBixVjzw5WSJfkj1eoDJAR/2A0aGKtHcOgQXz9xovGL/6pVzE5atsy4wAGYZlyhAtCmje8BcgMHMlZn587ABNX26cO5rFvHDAiTGMmSuRFbce4crE8+CcvevUgfOxaOrl0zxV14bFboZjnQ6tVjNmbFvdx+enp6llgOdS6uWSvua1dLi7v1wzUNWCsVGHBaJdS/3dfu22lZVrSykG7M/fx5VH7/fUQeOoSj77yD8488AneyZMRoYLVabzyv9VnceA8hISjWsyfC9+zBxSVLYC1XTvezc7U4uX9mKhaLhYJ6wwZg3z7dgHQty96Nx/buhbVOHTi+/RYiI2jViHUJQiC0Xj2I0qWhZLhd9GKVbvyfkgJL2bJ03xgpLLltG9ORFyxgGX4tPvuMAbzufPQRMGiQ931IgoIUKxLy00/aZfQ/+EA74BagW+aBB4ynEvfvT1Fz6pTxYLV27ZieuGuXuXgRI03MPBETQwvQoEHA0KHmt3dn2jRmP/3wAwto+YAnV0+mC+nu3bB16AA4HEj97Tek16p14/V66b5abiDXAFj3mihqurKWWHFNYVYfc6+l4tps0P2CFBoaqikk1OfU//VcRK5ixV3k2Gw2j24S99ReLUHhSegBgCUtDcVHjEDhuXNx/uWXcf7VVzMdu1qnXK2LsbugcBUf6tytVitC4uJQ7NFHodxxBxIWLkRo3ryZ3rPr2lDg8pkzPPafe44Val3QOgbV/12fsz7/PEI2b0ba3r0QNpthV1jI1Kmwvfwy0nbtgqVKFY9i5cZjQ4cCX3wBy7lzxlpf1KkDlCvHzvFanD/Pqrfu8Ue1avHGRZIjSDeQhOjFpHgKrJ0yhdYLI0GvaWnOC7ZRoRITwzug/v3NCZXERFa4ffFF34QKwKqaJUuyWq2/HDlCq8oLLwQm7sUDlhUrYGveHKJwYaSsXQtRp05Q9yfJiggLw5khQ3DuzTdRfMIElBk8GJYgpjcrBQsiftIkhO7di8iRI/0fsGRJZqlNmEDrig84PvgAOH0aIT//bGo7pXNniGLFYDVaKBKglTYpyXgac8+edB1duKD9fPHi2vF0u3bxnCTJEaRlRcK03jvuyOoCqlmTP1AtEhKY5jdwIK0v3vjtN6BTJ3Ppyn36MJvnxAlzaYOjR3Nehw7xDsosf//NkvczZwIZQYI+k57OWJuLF5m54EPTQ08WFde7fMuffyL0+eehPPggUqdNg5LRkdc1Ndjd1aNlWdEKJHUvCufqDtIrCpecnHzjOde+P677BbK6IlyDYFVrgqcCZ1oWBD3LijcXU5aUXg2RrOt603gu78KFuGPAACQ3bIiz33wDYfA4dt2vVpVbrfcVMW4c8nz4IVIWLYKjWTPNNGWP7h9XUlMZmF65MmsM/Z+9Lw+Tory6P1W9zT7DDPu+yCIDyC6DCoKsogiCaNS44BJjjMYvJkb9xeTLJxoTNSbRxH03KuAWQQRBBGWRRZZh3xk2YWBg1l6r6vfHrbeprn6ru6q7p0G6zvPU0zPdVW9Vz9Ry33PPPTfO9+SlGF033QRx5Uo0rF8f1mfFSoGxY3I98QScTz+NwK5dEJo2jVjfsOx7/Hi6Jy1bFt/MrqqKhLaPPWbcw+z11/lavRkzrHvJ2EgJbGbFBrEX+kAFoODCCLNmUbXNzTeb28err5L3gtlApaqKUlO/+IW1QKW+nnLO06cnFqhIEjE5Q4fyyxit4rHHgNWryVsmVd2ZORDffRfOn/wE8sSJ8M+caTdfO0tQN2ECDr/0ErLXrEGbO++EoPfwSCF8d98N6aKL4LnzTpqAJAOPB3jySQjz5sU2UouB4O9+B+HQITgt9tcJ3XEHIMtwWNGaTZ8OYcUKc12ki4vJs+n1143XueoqvtWBEQNto9FhMys2SBfCK+3dssXYi2PsWApwzPgiHDhAFtwvvWS+yeGTT1IuuqKCWB+z+Ne/qF/Irl2JpYBefpk0JatWkYlUMli1ioKe//f/EvJTiVWerGVEWJ4/dMst8D37LGR1Zsnrp6NnNrS/c/UviDSM4zEs+t5A2t+1JnDaMWN1RtaKYPWvscqMecxKrJ47VjUdsf4fRloO9n3dq1ah6c03I9i9OyrffhuKLpiMxTjoWwdojzPqOxw6hJyyMkjjxkFSUzDa72TFZA+KAlx6KVBVBeX776E4HIbniP6cZK/Zt94K8fvvUbtmDaDZXvvdeGXbnnvugWPBAgS2bwdcrihGKGo7v59aBdx8M/DUU/HZlc8+o/teLKZ3/Hjgiy+i39+1y5xTt42UwmZWMh3V1fyZU2mpcaBy4gSlSsx2HX7zTSobNMtUKAoZsE2bZi1QYbb/U6YkFqj4fOQme/31yQcqwSAFZhdc0KgVBOKsWXDedRdC06cj+Pzz/KotG2ccgcGDUfnee3Dt2IGmt90GwUzH4ASgtGuH4DPPwPnBBxA//zy5wQQBePppCJs3J9x92H/PPXDs2wfXvHmWtgvedRfEI0cg8oIFHjweEgS//TafJdZjzBhiOmOVaBvd3xIt67aRFGxmJdNh1GH5D38wZgNee40exIcPkxgtFmQZOO88EuHGol21WLKEZnRWrfXZbGnFCuM+RrHw3HNkNb51K+Xqk8Hjj5NIcfVqqj6wiHgVP7IsQ5wzB87rroM0bRp8//43IIrcDsDaVx7bwsY0YgW0P+srhbTdk7VNCtkrY1ZiaVX0LAGvvNgMs8JrAshjIPQlwdrjMGJWeIj1P9K+r33PuXIliq69FoGLL0b1a6+Z6tytPybtceo/czgcEAUBrokTIWzfjtD69RDU9COPxYiFMNszdSqwcSOkTZugqH9HnoGgXuvEPssfPx6KKKL6v/+Nyazov1P+yJFQWraEb+bMmPqb8OumTRD79oXy4YeU5on3PW+8kap7ysv5n584QXYO+qoguxPzGYEdrGQ6pkwhh1g9Nm0idoWH8eNJfW/G5po5QloJPG66iQKOHTusVQGNGEHCwOXLzW/D4PVSUDVqFDFByWDHDipzvPde0s8kgFhiRlmWIa9YAc+4cZDGjIHvzTchqX8nrdusPmWj9UvRp2UkzQ3ZzANaux0vKGL7Y/vWp394nZFjlRfrBbf68l2AX7qsfwDyHvSxHoBmYaVHk/Orr5Bz3XUITpqEhhdeiHuOG/UPAqL9YMLfYe9eOPv2hXLnnVCefjq8jpUghUFetw7OgQMRevllSGp1IC+NaBQIuz/7DE3uuANH585FUFNGr/8O+sAy+803kfPgg6jbsgVC69ZR6/KCOGHwYHLUVu9pMb/vp58CkybR5MTIR2nsWL5z7b59MbtL20g97DRQJiMYJGdGPXr0MM7jnjxJ28QS32oxezZVDZl1n62upm1uvdVaoPL99xQQGTVbjIeXXqJSxt//PrHtGRSF7LzbtGm8vj+7d8NzzTWQ+/eH79VXE+95ZOOMIDRyJLwvvAD3zJnwJBjMxkWnTpAffRTCP/9J10YyuOACyJMnw/HEE+ZSLDr4xo1DqF075L3yiqXtglOmAC4XXO+9Z3obZdo00pnU1cVfecwYEqLHEs0apYISFB3bSBw2s5LJ+PZbfhDx29+SwJWHN96gSpuDB6n8LxZkmWYfkyZR7yAzeOEFqgCqqKAHvlnceiu53e7aZf3h7fWSX8y4ceZTVUZg3aHnzCH3XIuIVZ4syzJw8iScl1wCyDIaFi2CVFQEIJLN0LvFatMyetaFvWr3y6PljUp5tcJKHlvDG5+NEysNpGdWtL19gNhC2VjsCW+/DKlkVmK9Hy7t/etf4fnTn+B7+WWErrsu7j7MCGUjPguFIA4eDBQWQvn666heP/G+S8Trhg1wDhyI4IsvQrrppqj/tTbFqO+mLUkS8l55BcV//jP2L1kCqUWLiO9kJBZ2Op0ouPtuONetQ/3atYDmf2foYLx3Lxxdu0J5//0IjZzh//P660lka2T29sMPNNnS4+qryVbBRtpgT8kyGUazg7FjjbeZPRu46KL4gQpA1TAHD5oX4gKkhxk/3lqgUl0NzJxJfi+JsAzvvkusSrL+CX4/+TaMGcNvCJksZBnOW26BcPw4GhYvpnb3aejy2xhwNDQg/8AB5FZUIPvYMXiOHYPn1Ck4a2vh9HohShIEWSb3U48Hcn4+Qk2aQGnRAsG2bSF16gTp/PMhmTkPz1IEH3gA4p498NxzD+Tu3SGn2sDP5YL817/CMW4clI8+snYd3RJ+wwAAIABJREFU6nHBBZCvugqOp56CxNO4xUHt1Klo8te/Iv+jj3DKTMNTFf4bboBn9mw4Vq6EVFYWf4NOnaAMGECBhBlB/9SpwHvvUeqWp1Nr2ZJE8vpgZtEi8lCyWc20wf5LZzJ4wUpODgUjPDQ0UArIqGOpHrNmkUCN18WUh507SZBqVW3//vvWPF+0UBTgmWfIV6FrV+vba/Hcc9Qa4NNPraWwuIcVrVkRH3sMwvz58H/8MaROnQCNTkDLojAmhZUSaw3c2M/62a8sy9weOwDNcPWW79pZvl5zoGWEwrqFo0fRZM0aFKxfj/ytW5GjaQoXKClBoGVLhEpKEOzYEcG8PAgeDxRRhEOSIPj9cNbWwlNVBefOnXAePAhBFe7KBQUI9e+P4KBBCA0bhtDAgRDdbq6egSFWebJhD5o4MNWRWIVDU7ElPfccHFu3IvvGG+FfsYI8QHSIaTWvWyfqs9GjoUyYAOF3vwOuvDJu88xYouHQr34F94gRwBdfQFH7dMUyDtSeY5LHg9oxY5A3axaOalK8vA7b7BxTFAUoK4PUrh2c772HgK6flv5/Gz7eq6+GMGMGlPp6CGrrAcPS8PHjycfps8+AX/+a/0cZOzY6WKmuBr77zvheaSPlsNNAmYoTJ4BmzehhrcWECZTC4OGLL+jiNuNCqyhkynbFFVH9RQzxxBNkolZZSUGTWQweTCXORscdC+w7LV1qvauzFidOkPfC9deT10uCMHIEFb74As6JExH6wx8Q+O1vo9I42lRPuoMV3rEDQNbOnWiycCFKli5F7t69UAQB9eedh5pevVB//vnwde0Kb8eO4QeK1mfFyGXW6XQCsgxPZSXc27fDtWkTXGvXwrV6NcTqagpeLrsMwcmTERo9GoJ6Hp1NwUrUZxUV8AwdCnnAAAQ//hiI4y5rKVgBIGzbRoLvxx+nNhImv0dUDyRJohRkXh4a/vtfAJHpxJjBiiQhZ9UqtL/5Zux76y00DBgAIHawwkTUuX/8I7JmzkT11q1wqGlAURS51VwAIOzeDUePHpBnzqRKphh/SwCU/pVlvpAWOO1orcejj5LVgY20wA5WMhUffADw8uT/+AeZqvFw//2UBqqoiM8crFpF3ZjNNjkEgP79id0w2+MDoHYAF1xA6n+1XNESxowh0fCqVcmxIQ8/DPz978SsWPGGUcGrJglrVX74Aa4BAyD37YvARx9BUpSoxoLagITZ3bOyYe3v7D2e/T2vYR4QqSHRvgdEG6mJdXUonjMHJf/9L3K2bUMoLw/Vw4ej+pJLUDt4MGRVY8PTwfAaChrZ5kdV/EgSHBs2wLlwIVxz5sCxcSOUggJI06YhdOutdG4h/oNej1QEK2bWFRYsgPOKKyA9+STk++/nbhfr+LSfcY/57ruBmTMh7N0LFBQYHguP0dNqkIT330fW9Omo+eYbyL16cSu/eNVokiQBsoweEyeirl8/VKgPeW2woj+32HnnWrcOTSdMwKmPPgrfS3jGfxEaq4EDqcO7TpzL/dv87W/AQw/RfSA7O/pzv58YL7UpZxgXXgisXBm9vo1GgR2sZCqmT+eLSbdto4uch549yZHVjKr/kUeow/DRo+aMynbvptLhmTPNVxoB5Ivy/vukjVFvcqZRXk4zzv/8B/jJT6xtq8Xx48Qi3XMP8Oc/JzQET9QoyzKgKBAnTYK4Zg28330HtGiBUCgU5WmidY016oLs8/li9urRPzS07rFZassDnqOs0+mE68gRNH/nHTT55BOIfj9qhw3DqcmTUXfxxYDbzXUgNRLB8oIVPdtjVLoa/mzXLojvvgvHW29BOHwY8sUXQ7rvPuDKKyHozse4D/okYfYWKzzwAIR//QvyypV0XhqtZzGoEgSBro8uXcg/SaPNihWs8LxUQl4v8i64AMHhw1H/z39GBChGwm4t69Li1VfR5s03sW7uXEi5uRHBCq/TttvtBhQFrYcOhW/0aPieegpApMCa65fz+OMQnnoKSmVlhAMu92+1ZQvZNHzxhbFeb8IEQG+yJ4rEAnNSdzZSD7t0OROhKHzKs0MHYzO0AwfIjyCW+FaL+fOJtTDrqDp7Ns1qrAhTQyGaOd14o/VABaBy5ZYtkxMeAtQ4URCMm6IlAfHll+GYNw+hl14i/c9ZBtexY2jz2GPoceWVKJozByeuvx7b589Hxd//jrqRI02ZnjUGlK5dIf3xjwju3IngBx8AsgzXNdfAOXgwhM8+i05/ngVQHnsM6N4d4k03kQYrlWjbljp+P/00NfxLFC4XArffDveHH0JIoP/Q8csvh+j3o9hMmw4GQYDviiuQNXeuaUG5Mm4chNpa8muKh/PPJ0F/rHJkXhdmWaYUkY20wA5WMhH79wOHDkW/P3ascSpk/nyaSfByt3pUVpK3g9nABiBR7YQJgKpfMIUlS2hfJso+o+D1UnPBm29OLNBhqKwkYe299wJqh1gr0DucRrx/4ADEhx5C6LbbII0bF3aulSQp/DObtTIanrnGsm7IjGnxer1oaGhAfX09d2loaAgvbDs2DttHKBQ67Z7r9aLtyy+j1+TJKFq4EEfvuQe7Fi7Eifvvh9i2bbhzssfjgcfjQVZWlunF4/GEt2epAP3vjH3RLiw1wFgXURQhut0Qrr4a8pIlCC1eDDRpAsfVV8MxahTEDRvC5cqNubBjibtudjaUt98Gtm+H+MQTlvahheFnv/sd+Y8895ylc5L9zlyOA9dfD4RCcM2eHXFOsoWdi+yc0Z6TdUVFqL7gAhQtXBh+n62vX7TnXf348XBUVkJcsSJ8/muPS/u7oihQ+vaF0rQpMH9+xPvca04Q6F4VK1gxupd9+23Mv6WN1MEOVjIRRg6vl15qvM38+SRkbdIk/vhffkkzV95shIf9+4G1a60zHLNmUfpl4EBr2wHAxx9TZ9rbbrO+rRZMTJuoGZ0RFAXOe+8F8vIQmjEjtWMnieKVK9HnhhvQ+p13cOy667B97lwcnz4dipVA80zg4oshL1oEac4coLISwqBBEO6/35yBWLrQuzfw4IPkfLxlS2rHbtuW2mQ88wwF6wlCadECgdGjkfXuuwltf3z4cBStWQNnba3pbQL9+iHUsiU8vIarPIgilFGjIPBML3kYO5b+3gcO8D/v3p3fWiQRt2wbCcEOVjIRRtTo0KH89xndaTb4mD+fcu48MyWj9R0Oa0xMKESi2qlTExPGvvoqMGxYcuXKPh9VOt16K3mepABs1id89BHEuXMRevZZKAUFETNI/UyWlY3qZ7GMIWGLlj3hLfr1WWVRIBAgzUFNDbo/8QT6PPQQfG3bYsM77+DIffdBKSgIlzBrGQ8tI8IYFv3v2oV9pmVQ2KJnTxi7wlu0zAqP3RAvv5xKUf/yF+DllyH06QNh6VJDLUiiDEeiY+Hhh4FOnSD8/OcQFMUSixJXc/M//wNUVRGraPJc5LESvuuvh3PjRogbN4aZDqNzkglsGetypKwMgiyjcMkSLhOjH0eSJMgAvJddBvfixRHXAW8JMy6jRtEk6PjxiO+k/34AiDEWRZpo8f95AM/nZf36aOGtjUaBHaxkInizgdatgfbt+etv2UJK+VjMCwPTw1gJPObPJ2W9WiliCkuXUgrGihiXYc8eqlJKllV59126Ed53X3Lj6OH1QvztbyFPmABl0qTUjp0ginbswLBf/hLNvv0WW3/zG2x99ln42rY904eVOJxO8tXYtIm0WiNHkihcFYKeUWRlAf/+N4RvvzUVVFhCly7U7PPZZ5PS7QQuuwxys2bImTnT+rZNm6K6tBTNly61tJ1v2DA49+yBo6LC1PrKqFEU7JlhV4qLaYIVK63Dm8yFQnZTwzTBDlYyDfX1fGvpsjJjhmL5cmI+Bg2KP355OVlUm2VhWH+icePMrc8waxY9ZMwckx7vvUfamClTrG/LoChU8jhxYvJmcoic5QnPPAMcOYLQk09GzW7ZYjSL1f6sZVuY1b6WLWHv8TQCWn1K5wULMPTBB+Fv0gSrXnoJR8aNg8BYCtXvQrtoGREj7QmPPdGzKDw9CleXwmFRYulFItCpE4SvvoIwYwaEv/wFwrhxEI4fN8dScJAyrcvIkcDUqRAeeQSC15sQk2OI+++nCYiGRdAzKDxEnINOJ7zXXIOcjz8GNOcKj/3TaqvY8sPFF6N47VrIp05FfaZdtOd4/YUXQnE44Fy0KEK3FcWosJ9btYLSqxewYEFMzUr497Ky2IJcIwddMyJeG0nDDlYyDatX8xX1RikggC7GPn2o6Vc8LFpEM0OzrrXffUfVCVaYGEUhx8nJkxNLAc2aRWZ1yWgsli4lc7xUsyqHD0N48knIv/wl5C5duAJCnrhQK7jl0egsiDH6TDtGGKEQLnznHQx89VVUjB2L5U88gUCbNlFBgj79w1vMBCRxxbIGwYmVtAx3HYeDfDYWLqRge/BgclM+03jySWIP1a7JKcOwYUC/fuSpZAH6v6d/0iQ4Tp6EJ47XCO9vfvTiiyEGg2i2alV4Pf15DkQGSHJ+PgL9+8OzdGncVFB4GTUKwldfcYOxqN/Lysi6oaqK/0UGDOCL8W3dSlpgByuZBqNZQKy+G8uXxw5m9OsOGkQBixnMn08UrOpoaQpbtlA10/jx5rdh2LmTmKVE0kdavPIKMSpmUmMWIMyYAWRnQ37ooZSOaxWOQACXPf88enz9NVbffjs23XUXlGSqpn4MuPRSovQ9Hgq2k+1WnCw6d6Zg+M9/Bo4dS924ggDcdRcwbx6/KtAkQn36INSuHbLnzrW8rb9ZM9R26oTitWstbecbNgxZy5aZ7v4sDx0K4eBBY+GsFuweaBR8ZWWFzQUjsGLFWVkKf67BDlYyDbxZgNvNvwgBspHfsSN2MMOgKDS+mXUZ5s8HRo8278cCkHlTVlZi9vizZpGVfyKBDsOpU+QLM316Uq63UZT7/v0QXnsN8gMPQNG4jGrXN7PEpcd5DqqaWa8nEMDEF15A661bsfBXv8K+MWOimI5YwlYe06JfJ1aKJ166JyyUNWBY9N/HUtqkfXvSLXToQMGLFT+QxsDvfkfXxl//mtpxr72WgrK33gIA03+jiL+nKMJ7+eXI/uILiIpiyLhp/1fa5cTAgShZswai7nM2Pu+c9g4bBrG2Fs61a6NYQR5LKLF+QitWRJU3M4R/79wZSvPmUJYtM/4D8CZtlZVkammjUWEHK5kG3kxmwADjBmdslmGGWTlwADh82DwLU1tLx2PGu0WL+fOB4cP51tjxwFJAVnoP6fHeezSzS6RxYgwIjz8OFBVBsdCVNtVw+v2Y8K9/oemBA1jwwAM43Lv3GTuWM4amTSlIGTKEgtozGbAUFxO78vzzqWVXCgupku7115NiBbwTJsBx/DiyVq+2vG3VwIHwnDiBnD17TG8T6N0bUmEh3LECCi1atIDcqRMEM7oSVvETK61lNBGzyBDZsA47WMkknDgBHDkS/X4sn5Lly8lfoGPH+OOzG4JZZmXVKiqLNhvcAFQmuHSpNY0LQ0UFlRomI6wF6AZ/+eXmS7NjIDzTq6gA3ngD8m9+E9bSmGVSeCWmPGib+ekFqA6HAy5FwaQ330Szgwcx7957caJHjzBDYoZZMcOUsHViaVHiCWTN6FGSRl4eNcYcMQKYNInOmzOF+++n6qVUsyvTp0PYtcuwAsYMYyUNGACpdWvkLlhgeG4Y6ZLq+vaF5PGgZO3aiP+9FlHCcgD+vn3hWrPGUH8VJb4dPBjCypWGjKN2XxgyBFi1CkowyL+WjO6VmzYl9C+wYR52sJJJMLqgYs2ev/uOLmAzD4Dly6k00mwjv+XLqVy5Rw9z6wMUqPj9iQUrzIVXbW+fEPbuJZHy9dcnPgYHwj//CeTmQrn99pSOaxqKglEffIA2u3dj3t1342jnzmfmOM4muN2U7uvenRiWvXvPzHEUF1MjwpdeIjYyVRg2DEr79tYah+ohCPBddhmyLZYhA4DsdpObrUZkawb+AQPg+f57muiY2c+QIRDWrzdnhFdWBqGuztiQr0MHfqFBebmpY7GROOxgJZNgFKz06mW8TXk5dTU2AytCXLZ+WRkFEGbx9dfEaJx/vvltGJifixkXXiPMnk16mSuuSHiIKAakthbCK69AueMOID/f0lj6mW6s6hyXy8U1Y/N4PLhkyRL0XLMGX918M6r69In4TF9y7Ha7TWlO4rEnyVT3pKyMNx7y8oC5c+l17FjjSpHGxj33EKvIaz6aKEQRuPpqMlfUPPiN/tY8xksURQQvvRSuPXuQ9cMPcSvB9J+dGjQIhRs2wKl2/dYzLLwKH2/fvhBraiDs2MEt1deXPgcHDoQQCgFr18a06QcAhTWQNAo+RJGaHuphMyuNDjtYySQYXVC8iw+gHPmxY7GZFwafj6jyIUPMHYssU27YihgXoADnoousC1tDocT8XPSYNYtSQGbKuM3i9deBhgYo99xjKq3De1DzhKt6bxNej57s7Gx0370bQ774AusmT8aRYcOQnZ2N7OzsiPX0wQrv4cNLFTVWcJJWNG9Oge6JEySqPhOVH23bUgXb3/9uupmfGQjXXAPhhx+4wvtY55n2fywNHw7F4UDu8uUxy9V5Qa93wACIgQAKdu+OEOTq/8fa0vy6nj2hiCIc330X0yco7DPUvTu1glixIsI/iBe0oLAQSrt24WCFew3y7od79pCHlY1Ggx2sZBJ4s4UOHQBO5QmA08FNLOaFYds2Cgj69jV3LNu2UVWNFSYmEKAUjJVtGL77DqiuTix9xLBvH+0/2bJnLRQFwssvk1PtGXCEza2qwsjXX0dF797YeOWVad//jwadO1NQ+emncRsBNhruu48eikaW8IlgyBByr549O+EhlMJCBPv1SygV1NCtG2SPB3kW0ihKXh4C3boha906cxs4nZB69oRottdSaSl5KBmBdz9UlNT3crIRATtYyRQoCp9ZicWalJdTldB558Uf30pgA5AYVxTJgMssNmwgBieRYGXhQkr/JNL0kGHuXBI6TpiQ0ObcksmVKyFs2QJl+nRDcSxvdscTyLLUj34Wq2VR2JKbm4u87GyMfvttSFlZ+O7uu5GTl4ecnJyI9RjDou/fw+t+nEojtzPKpBhh4kQKGB54ADD7oEwlBg+m6yvVqaDJkykIU5S4rJZReXJgxAhkLVsGpyDEZVMizp/sbDT06IH8TZuizhEAUWXJjEWpv+ACuL//PsqRWe/MHE4H9egBcfPmCDddbrdmRSHX202bosW3DEb3TDsV1Kiwg5VMwcGDxCzoESu42LQJ6NnTnAdKeTl5VBixNHps2AB062ZNo7F8OQVP/fqZ34Zh2TJKH1nxc9Fj/nwyC7OoK4kF4bXXoHToAOWyy1I2pll0//JLtNi+Hct+9jMEzvaOyWcLnnySZt7XXUeBczohCJSG+uQTSkmlCuPHQ9i/PynX3uBFF0GsqYFz2zbL29b36YPcjRstbeMrLYV7zx4IJv8HUs+ecOzYYa73U69e9PeoqTH8nAtbZNuosIOVTIERRRmPWTHLlGzaZE7bksjYDMwd1+22tp0kkT4mEUaGIRAgv40ENC+GJlQ+H4RZs6DcdBMUnQmWNpfOgxlmhbEhWmYlNzcXubm5aFpfj34ffog948ahftAg5Ofnhz9jixlmxe12G5Y1m2VP9N/prGFSePB4qLngnj3AM8+kf/833kh6r/feS92Yw4eTO/GCBRFv8/QqRgyLMmAAFKcTWevXx2RUeH2hvP36wX30KDyVlRGly9prQK9DqevYEYIsQ9i2LcymsG7jPIbF37UrBL8f8s6dUWPqy5llVcOnqOxKFOPZvDm/4jFW6shG0rCDlUyBUdmlUdmwLNPFZzYAsRJ8KAqtb9VwbM0aa2kjhs2bqeQzmWBl2TIS0CWjedFjwQIItbVQpk1L3Zgm0eeNNxDMycGWG29M+75/9OjZk9JBjz1G3j3pRLNm1CR01qzUjZmXR6xjMlqYnByESkvhSqADcYNagZNjIY3i69IFAJC1a5ep9UPqfc6xdWv8lXv0gCKKEGIdD+++uW+fqWOxkRjsYCVTYHQhGZm9HToE1NWZKxGurib3WrPBx9GjRGNbCVbq6mg2y0oLrcBK12gjfPklzaYS2b8RZs2CUloKpUcPrlW+UYmldqbHNXeLoVnJyclB25070ea777Djjjvgado0ilHJycmJWHhVQdpqoFgly7Gqe/Tf4UeFRx8lF9gHHkj/vqdOBb75hq6jFEEYMwbC4sVAMBiTEYtlCigNGgT32rVxm1hqF4fDAblFC4SKi5G1a1fEeaBlPxhDwhgTr8MBX+vWcG7bBp/PF7Ho2ZVAIAB/YSGkpk0hbt7MZVQirjGPh/yidIFNxLXHu2/u32/a+8WGddjBSqZg//7o9/LzjT1HWHBjxhyM0Z9mmRWW27WSBmL7SMT+ffly0rkkY7G/fDn1IrLiCQNw0z+KokDx+SB89hmkKVNidlE2vKHqghbTwUp2Nnq8/jpqevVC7YQJ4YCEF6yYKV3mCWrNlCDrf/7RoaAAeOopYji++Sa9+544kc7Djz5K3ZiXXkoTgg0bDFeJJbB1OByQL7wQjt274aqujghSYnXdZueP/7zzkK0GK9prgQUWLMXDFp/Ph/qOHeHZuRMNDQ1oaGiIClpY4OL3+ynQ6doVgiZY0bveRkwMOnYE9u83thDgBSt+f2pbItiIgB2sZAp4zEqHDsZ+JSy46dAh/tiMiu3a1dyxlJdTXx8rLqnl5XSDTsQMbt06a12d9QgGqTVAMmkkPZYtoxRQmsuFi7/9FvnbtmH/nXcm1YTRBsjFuE8f4PHH07vfkhLqjTVnTurG7N+ftGBmeugYQFIr7ZwxAh4j+Lp2hcdkSoehvnNn5FroKxTs1AlO3qSNA6VDBxLZGsHovminghoNdrCSKeBdeLH6/ezbRw3dzFSJ7N9PuXSzzMWWLRR0WKnMKS+nEmqrzQsDAfJ0SaYh34YNZNVtIViJcMXkGL0J8+dDadkScq9ephkV/SyQlw7SlhLr2ZAsjwcd330XtQMGIDB0aITgNjc3l1vinJ2dzRXW8txrrTIsP3oIAvDgg9QFPN29g8aNIzdnvz8143k8QP/+EDRN/MyUmWsZFqFzZyg5OXBu2xazJ5D+vBEEAYGuXeGpqIDg95/uA6Rxpw0LZTXMyqk2beCprETwxAn4fD54vV54vd4IlkUruvW3agXHgQNcl1v9daW0bw9UVHBZFUVRoBgFKyaDIRvWYQcrmQCfj9/AMBZrsm+fueaFVtdl61vtPZOIIBcAtm+ncsVkghVWMt2/f+Jj6CDMnw959Oi0sht569Yhd8sW/JDibtEZjWnT6Nx/8sn07nfMGLLf5zjPJoyysqSYFYgi5PPPNydi1cHftSsESYLHAjPhbd0aAJDNu7dxEGzTBo7aWgg8Cwc9OnSAUFVl3IvJZlbSDjtYyQQcOMB/P1aAsX+/+QDEyrqA9eAGIHakZ09r2wCn9THJBCtr15Izr4mSaaMy5Yjl6FEImzZBHjmSy5rE63eiXV+vY+FZ7zNWpMUHH8DXpQv8l17KNX7Ta1X0/YHiMSpWbPPPGTidJLKdOTO9jQ579wZatIgqN04KQ4YA+/ZBOH48ZqsD7Tmm/d3hcEDp2RMOlVmJtegZuICaQvbs2hU+p7VW+kwoq9WjnFQ9ncQDB8KMSiztSkOzZgAAZd++SMM4Xqfm9u3D63LbX7Rrx59o2MxKo8EOVjIBRtF+PGbFjF7F6rqyTOWeVoIVxgx16mR+G4bycqBNm+SaFybK6hiAUe3yRRelbMx4cBw/joKvv0bVNdfYWpVU45ZbKD35zjvp26cokkFhKpkVVumWhBOrUloKcetWy1Uxcn4+QoWFcB0+bHobf1ERJLcbOSZFrQGViXEeOhR3XUUNVgx1K243tSnQw2ZWGg12sJIJMKJJ27Xjv28loLAafBw5QoJVs8ENcNrLwiobAyTOyDCEQqSxSUGwEp6ZrVgBpU0byG3aRDEqZpiVYDDIrWTQsit6hqX488+hiCK8U6Zwuy7HqvjRl5rG66ycEYyKFrm5ZFn/7rvpbXJYVka9qoLB1Ix33nn0EFaDlXjNJPUMiyiKUEpLIXi9cB48aKqhpXb8QKtWcB8+HMFw6JmVcOmy1wuvz4f6khK4Dh9GQ0NDWLOiXbTMSn1uLmS3G8L+/VxmJYJdadGCjPI0zIoeLKCJgMmUlA3rcJ7pA7CRBhi1tVdp0SicOEHC1DZt4o/Ngg8r+hbAetrI6jbabS+80Pp2DLt2kYgxTrDCE+GxV+3PACCuWAHpwgshaRxqJbWTbki1A2c3Uu17bB0WnPCgLw0GqKw5f948eEeMgKNpUzjU96B5dTqd4Z8dqvBZ+8rGcjqdEduxh5R2f/rjyQjccAMxK+vXJ9YOIhGUlZHwu7w8NXoqp5OE7zGYFaP/pyiKdC6rWjRx/36I6vWqKErU+cZDoHVruA4fjrgWAoEAfaa++lVBcSAQgKIoqC0uhufoUXi93vD5ylKlvOMOtGwJ8cABBAKBqPOdBVYAIDqdUFq3Bg4dMixfFpo2jf4SRvdaG0nDZlYyAUZ9REpKYq/Puxj1YJSqmcAGOB14WGFW9u8n2juRrsSJ6GO0sOohEw+yDHHjRigpFOvGg/PgQWRt3Ii68ePTts+Mw6hRFPy/+2769tm/P1XUrV6dujF79Uqux43K1goJOPsGWrWC2yIzUVdSgrzjx83vo2VLOE2a6SnFxSSyNQLv/pnKnk02ImAzK5kA3gXkcJADZ6z1jYIZ3rpmAhuAgpvCQmvNAPfto0DF5TK/DQCcOkVLMsHK7t10vEYsVBxoZ2SyLEPYtw9CXR2k0tKwUBZAFIvCaGr9e2wcPbRsip79yF2yBIrTCd/IkVzWhL3q39POhvUzYy1ro59tZwybooXTCVx9NfDZZ2QWlw5kZVEz0FT2pOnendsjCIhmD7WfhX8nrhwRAAAgAElEQVTOyoLSqhXEAwfC54osy1HnDTvHJEkKvxds1QruH36gVJrGHI6tB0ReC7Iso7qoCO3XrYPf7w+PqTdL1O4vkJ8Pz8mTCAaD4euEjelwOML7EUWRgpUTJ6KYlfB3Li6O/vvV1xMT6/Hw/742EobNrGQCeMFKcbGx0DKRYMXMumx9s4ENw4EDxvqaWGDiuGSClWSZGR0EddaqpIqpMYGcpUvhGzAASgq7RdvgYMQIYMeO9OoWSkuTEsRGoUMHoLKSyqITBPMosYpAq1YQfT44T540vY0vLw+eujrTgt5QQQGcp06ZWlcpLgZiHUs8ZtpGSmEHK5kA3sUTK7hg6/NmDrx1s7PNm7UdP24+sNFukwizYcWF1wgWgxVemWOE+HXrVihFRZBatIhbsqwXF7L3eV1ljTrIKpKErNWr4R06NEL8aqasNJ6QVs+qnJPGb1YwfDi9Ll2avn0mm7bRg10rnGAj3v86/F779hAqKgw7NBuVuYfU+41LDSZ4Hci110kwGER9VhZERYFQW8vtDaTvxOzPzYV46lR8ga0sQ2nSBMKJE+FriSF8XEb3RztYaRTYwUomIJFgpaDAXNrlxAlrwYfV9QEKVqyyMQD16RAEfjt3s0g1s7J3L+TOndNWPuzeuROO2lr4kmk3YMMcWraktMySJenbZ7dudH3U1KRmPBasJOEXorRpAyEBdkkqKgIAOC18F5/qmp1VX29q/WBhoenxleLi2IJZm1lJK2zNSiYgkWDFSlrHarBi9eGfSIAD0E28qMiarb8eBw/GFPYaVeVoP9cyLMK+fZDbtYuYKQL8nDzTqLBXrYZFX/Hj0HxHrZ7Es3EjFEGAr3dvOBFdBaTN6fOqI9h4es2B/lWLjGNUtBg+HPj22/Ttj5XPVlSkRgTeti2J2Q3SOHr9ivb38P+9pASoquI2rNSem/rPwsGK6jDLmhpq96etnguFQmjIygpvE1S31+5HX8Xmy8mBw+tFsK4OQXUy5lJfnU5n+Dp0OByQmjSBu6oKsiSRhkWvWbGDlbTCZlYyAby8a6wUT2MHK1YDj0SDlUT0MVr4/WS3nUAKipcGkmUZQkUF5Pbto/oB8dJBWgdPbTpI+x6vz4k2DeTZvh3BDh0gqzPQeD4ZPIo+ljutFue0l4pZ9O5NLR7Uh16jIwVMSAScTro3xKmwiZkGatKEghWN5w9DrDSQrAr+XTU1UYGOPr3Krpl6NVhx1dZGXCcsJaRPBzWo6Wrl+PGo6yvKzbaoiHoV1ddznagN70kWNDc2zMMOVjIBvGZnsZoO1taar9Y5edKaO6xVzUowCFRXJxZ0JBrkaLcHkhtDC0WBcPgwZJ7zZSPBvWtX2MrcRhrQtSt5FBm1uEg1WrUi5jCV+ysuTo4dKCmBIMvWU1NOJ6T8fEtpIK96H8s2KQgOqPc1l1HPHw2YIF0wWtfoHpqq5pI2ImCngc51KArf4TJWn5tAwHzpnc9nTRNSV0d6GLNgyn0zYl89EtW6MFgty+YgwkyqoQGCzwe5pCSisyyAKHM4NsMDTqeBtKkiPZ3OoDW2kiQJzh9+gG/YMMPji0XV8z6LNYYNkAssQGaCKdQ6GcLhoGA6lamHeFoNM9sDNEZRUUQakZ3n2vNXmxKSCgvhqq3llsQDkekgSZIgORyQRBHO+vqwcZy2tJ9dCywN5Ff3JdXXQ1bXd2nSQdrrT1S3kX0+QE0FaY9BMdL0qePaSC1sZuVch9GFEysYCQRMNe0DYN1TwEogBJBDJ2C+2kiLmhpjLxkzSDGzIqjjKaliakzAdewYQi1apG1/GY+OHSmVsnNn+vaZLBOih6o5Sep4AAgJpEPk7GyIPp+lbSSnEw6TaTeZeRCZaVGg3gMFo3WN7pE2s9IosJmVcx1GwUo8ZsXsQ95KYCNJtJhdHzh94VvZRrttMuZMdXX0aiIlphcCcqE+UOQmTaLKm9lsUMuw6FkXnsCWzRy1v7P1xfp6OOrrEWrRIsouPJYw1op41mZVdHA6yc05XWkgIHkmRI/CwtPO1HHANYxTdSTw+6P0TbEEtqIoQnG7IQaDhroo7XUWZkEcDgiqVgVAWHOi3R+7TryMnWxoCFv3a5kVrdhWVLeRfT6Iqk4m4jsb3JMUvx/2VZF62MzKuY5EghW/3xqzYnZddixWmRir2zAkG6ywQClFbpSCmldXcnNTMl48ONVutKFkSrdtWEdeHjmZpguFhaTrShU8nuRSGfEYiRhQXC4IalBuFpLDYZ1ZMbGPcJrH6j3UTgM1Cmxm5VyHESUZj1mxEoCYfZgn8vBPJmA4y4IV3nhGzEQsDYlWpxJLX+JQH5hyQUFEtY/RmFY0KzajEgO5uekNVtzu1HVeBshfKYHxwucEO781D+1Y57L2nFRcrghmRQ+t/X6YaRRFQK34YWOyz/RsSL36e9AEswKms/F6AY0xXJhFMrhHCo8/DsyYEfNvZcM67GDlXEc6NCtWmZV0poES2U6/bxPBCpcO16+j+f680k+A349HT2VrPS14fXzC76lji2pH5XgiWhspwpkIVpi2K1XjWWQHtJ4o4WsuEDAMOniBsCiKgMsFMRSKckjmpYPC6VGHA4Ja6s8Q0jEnTGBbzwS2DQ3wqdoYt3q8Wm8jl8sV9meSfT5A0yE9LLSN0UHaRuph/7XPdTR2GsgqCxNv36nYRrttMsFKIEBOs8mYymnBbqZWGzImCcUORNKLxYuB999P3/5mzYpqPpgU3nwT2Lgx8e3VlIyweLHlTXOXL0eThQstbdP05EkMWbfO1LrsWmhtop+SqKZtXevX81ewr6u0wmZWzmEoigLIsnWxl5WL0Mq6bCYSx/U1AixQMNmoLGrbZMy5nE46Vlk+fexxwGNYwu+psztBlgGN4RrAd5RlDIlLF9zwGBItfR3unsxmrLrePtrtYpUux/p+Ns5hZGeT11KiYOe+gYiWvcde9ec++1l7vkbv4rTAFgAcGmZF4pQZs/1lq9eJrBrHAYBHZU7dbneYZQmFQnCo7IwSCISNFrVjxnOvtpFa2MHKuQ6jFEYsmtcKDWx13Xj7TsU22m2TyeWzICEYTI1uRTteOmHfVNOLUaMS8wVKFJMnk99RqjB1KrBsWeLbs0BhxAjLmzYMHQq/RQH68aIilJs0PhTUa6GitDTuurJ6HP4BA8DlVu3rKq2wg5VzHYko1s+lYCUFVQ3JBCsRTIS2SkLHrITZEM0ry7Prx5IkKWqmytZ1uVzhnwXVz8VVUwNZ0z1Zux2vhNTWsySJ2trTPXvSgWSF5Ckej1UBCR4PoGpZzIrFhUCAuh3H0KoAJJxluhRHKAS/IIQFs1q9ir78P1/dn1eW4VV1PoxZ8Xg84fJnt9sNUf1cdjoBSYowWwQAMRG210bCsDUr5zoaO1ixUuaYTLCSCBuRqmAlRaWIiuo/IZi0Bk8WIbWnkaiWMNtIE44fT6ifVMLwek97m6QCZ7CKTggGjZ1hDeCUJEgm07QOjTeLmWMBjP1UjO4LykMPmToWG9ZgMyvnOoxuGLFcFq2yJWYdG+P5FqRqG4Zk00DMNbehwTKtr9WuhGeJKtMhVldD0ZUS65kVLauin4XGYlacTmdYv+LIzoaclQVXVRWCqpaFx6iwV1urkgIoCnDkiLUWFMni5Eng/PNTN16CwUr4nDcRrPA0K2FmRa2W40FrkBhmViQJfiCsQQkGg+H1mI6F/R5QX+uDQdSrFVtaZoVpVjweD1zqpCIkioDGaI5BMUi9KR6PbQrXCLCZlXMdZ1MayOGgfHYizEoiFtY5OaddaBMBC1BS1EVVScKGPCEIAuRmzeCwmZX04dAhCm67dUvfPq02B42HqqrkNDfsIZ4os2Kxgs8hyxRQmFlXDXAkZ/x5eqLMSlIViDYMYTMr5zoSabbl8Zj3bbCaavF4rIkBmdV9ItUJqWzIlgIIandqoaoqzGTomQ7GkPCqibTeKnpmRcvIaFkWqU0bOCsqwqxKLGbFaH82LGD7dnrt3j09+1OU5Bt26nHiRHLBFutTxILzGHoo/XtCQwMxE7qqOl7Dz2AwCCgKnJIEn6KENSiBQCDMqDDWhG3vV+9VdYEAGlTmJFtlULOyssI/B4NBSOp4QUGAqGFWwgyLHaykFXawcq5DFKE4ndEW1vHSQKzbcTxkZ9NM0iyKisyPzdYXhMQChpISYO9e69sxsGAliSZxETdqpxNKixYQjhwBAG7woDV+Y9B/JsuyYbCiFeY6nU5IvXvD89VX4ZJmfZDCE9jaSALbt9MEoVOn9OyvpsZ65/N4SJapsdCtXH/eOU6dgqQG9QCiUi/azuN+vx/uYBAORUENTqeBvF5vOFjR9gsCgJB636sJBBDQBSvZ2dlhkW4wGCTnWlCw4uT06pKM7nupFDvbCMNOA2UCeOK7WMxJfj7dBM3AKnthdX1RBJo0SSxgSLYbLQuUUtjRVmnXDmJFRcrGi4dQ795w7N5t/v9pIzls2wZ06UIePekAC8ZTGRydOJEcU3PiBInJc3Ksbef3Q2xoQMhCp/Q8NUCpMxkg5KnBS72J9Vm7CsngewhGDHGaTR8zBTazcg4jbIhUVBSt3YgVMFh5yJeUAFu2mD+okhLrD/9EW9Yn2+re4aAZ6+HDiY+hg9K+PQRNR149w6E1sWIMiZ5+1op2ecyK9me5b18AgHvrVuCSSwzTQNqf7T5ASWD5cmDAgPTtb98+eu3YMTXj1dTQRCYZpiZBZsapNmOUioqiPtOmf4DTAtssNaA4KYrhNJDX6w2zLExszrZ3q0F7pSyjSGVGcpmfit8fZmKCwSDEkychu92QPJ6ITs5h1tNAe6ZomCEbqYPNrGQCeDeOWAGDlYe8VfYikWAlUYakpIRuvomIcxk6dAD27098ex2UDh0gsgdMGiB16wYlKwuO779P2z4zFidPAt9/D1x2Wfr2uXcvMaepSgOxcz2Z4OfEiYSCFVF9+POCFSPkqkFJrUmdSH4gAJ/TiZCJ0mVndTWkwkJDl27B6J6UTkPADIIdrGQCEglWqqsBM63arbIXiYheEw1W2ral14MHrW/LkGSwoihKxCJ37w5x//6oRncsd88WJqLVdktmrAkT0TIdivY99nt48XgglZXBtWhRhIW5fn82e5ICLF1KgtcEnFsTxtatJOZN1f+PpZWSCVYOHwbatOGeV7HONYeqZQtpgpXwdaPa3UuqdoQJbBmzcgLEjPj9fjQ0NIQXr9cbsWTV16PW7YbP5wsvbDsmzA0Gg2S3f+oUQoWFCIVCEftlxyIY3cdSWZllIww7WMkEJBKsAOaCipISoo3NVg8lwqy0bEneFVbRoQO9JsOMpJhZkXv2BACIrGokDQiNHw/Ht98m1+/FRnx89RVpR1KVkjGD8nKgT5/UjbdvHwlEW7RIbgx27VmAQ70vhCykUfL8foQEAV6TGqGCYNC0vsVVUxNTP2MHK+mFHaxkAni0ZFWVcW8LdrGZCSqsrAuQcM+q70eiAUO7dvSaTLDRsSNQUcFlmbQVO3oGhS1R2/ToAQAQdTof3nZ6FkTLjOgZFf372kUaPx5CMAjn4sUxmRX9rNdmXCxAUYC5c6kvULogyxSs9O6dujH37qXrzaRvCRf79kUFbEbnkvY956FDkPPyIDO7Ag301wdjO3K9XtS43QipTAtbtMyJdsn1+VDjdMLn8yEQCEQsjFFhi6O6GqGCgogmhtpjsYOV9MIOVjIBvIsnFDKuELFSssvGPn7c3LG0b08zfCvlyx06AEePWm/WlpVFrEwywcr555ML7u7dljbjBS6SJEHKzobcpQvE9evDN0HtEpEy0t0ktdAHGNpAJirI6dIFcs+ecHz+uZ36aSysWEHnyHXXpW+fe/ZQOjGVzMrWrcl5rJw6BaG6OiJYiXeesXPRefAgQm3bQlDPXe1n+vOVCcRL6utRmZUVNXFg0F9f+cEgatzuiJSS0XXoqqlBsLDQeALCCVaUnJzUtj6wEYYdrGQCjARfRsGIFbaE6UI0FS4xkUhqhm2TSMlvsmmcXr3oddOmxMfQQRo0CI5Vq1I2nql9TpwI8ZNPknP0tWGMt98mJu/SS9O3z+XL6XXw4NSNmSxTk0R1kvPQIYTY/cQkmtbX4yhri2ECzf1+nDAZTLhrakhgawAus2KLaxsNdrCSCTCiJY3YkGbNyCvAjDC1ZUsykTMbELCbWCLBSiJBx3nnATt2WN+OoXlz+ntoghXtDMso/aNnR7SsSXDgQIjl5ZDq6qJmd4yC5s34eKkls0yJdOutQH09hA8+4G5np3+SgN8PfPABcMMNyaVPrGLZMqC0lHyIUoGqKhLHJhOsqAyk0Lkz92M9E6g9/xizwqB1XeaJy51OJ5rW1+N4bi5cLlfEol9PFEU4BAEt/H5U5uZGjMkVnisKPFVVCKgNKbnsDm8yZ6eAGg12sJIJaNmS/74RGyKKlK4xExywdc2W4zZvTgI+K4FH27ZU7ZBIsNKrFwUaRvocMygtTS2zMngwhFAIznXrUjZmPCjt2kEePx6OF19M7m9hIxqffkplyz/9aXr3u3w5MHRo6sYrL6fXZIKV8vLTAb4VKEpUsBIPgiyjpL4eR02azzUNheBWFFSaWN9z8iTEYBD+Vq2M93/oUPSbyQiTbcSEHaxkAowo2VgP/w4dzAcgVlItVoMbgJibdu2AnTvNb8NQWkraHN6NxSz69iX/jBgww6ywJdC9O+QmTeD8+usws6JlVNjv2nJJLdMS1r9IUlxBL3B6VijfeSeE9eshrF6d+N/CRiQUBfjzn8lbRa30SguOHqUAetiw1I25YQNda8n0NTKZRtLrrRwnTkD0eiG3axfBiDCmxO12RyxZWVloBcApy6guKkJOTg5yc3PDS15eHvLy8iJ+76J6q9QUFyMnJwdZWVnIysoKj6llZnIqKwEAoTZtItpUhI89FILAMYtU0lkJlmGwg5VMQPv2/PdjBQwdOzZOsMLGtsqS9OoFbN5sbRu2HZAcMzJkCIkZU9W92OFAcNgwuL/+OjXjmYQyejSUzp0hPv10Wvd7TmPePGDdOuCRR9K73wUL6HXMmNSNuWIFue8mYxdfXn76mrMA57ZtAICgBXFvsVqKf1x1oI2HFqo55Im8vLjrZh89CgAIGDAr4uHDEHjid6N7rY2kYQcrmYDsbCg8ejIes2JFh2KFKenc2TpLwtI5VtGhA5Cbm1ywUlYGAFCWLzcsV9a/p2VS9AyJJEnwDx8O5/r1CB0/HlFyyVu05ZRsMWJujNgVAIDDAfmRRyB+/DFgsyvJQ1GAGTPo/EinsBYAvvgC6N8/tQ0Mk00rNTQAu3ZxmZVYpfKCIMC5dSuUrCwoXbpEMCuM9fB4PPB4PMjJyQmzKG3V4MPXsiUKCgrCS2FhIYqKiiKWwsJCdAJQ53bD0aQJ8vLywmNlZ2cjOzs7gmXJqaxEMD8fQmFhmFnRalycRkytzaw0Guxg5RxGhCCMZ9IUj1k5dsxcR+UOHYDKSvPdl3v1ooZvZhxytdvs32+9IZ8o0rbr11vbTot27YBWrWjmqYNR2ocXTGiDjYZLLoEgy3B/+SWCwWCU54N2YQ6bvOAlVvkl7xjl66+Hcv75ENPNBJyLWLSIHvAPP5w6B1kzCIWIWRk7NnVjHjxI1XbJBCtbtlAAZ4JZ0aeBnNu2IdStGxxud0QKSJv2ycrKCgcYeXl5aHfqFE42aYLspk1RWFiIJk2aoEmTJigpKQkvxcXF4aWdLKNKDWYKCwuRn5+P/Pz8cMooOzv7dFBUWYlAq1YRgl2tCNdhoPdTbGal0WAHK5kCXsQfj1kBzJULd+1Kr2arbnr1AgIBa+wKuwFaaZrIcOGFwMqV1rdjEASaPbNS0RRAbt0a/r59kTt/fsrGNAWHA9L//R+Er74CFi5M777PJQQCwC9/SQ/3CRPSu+8lS6iS7+qrUzcmO7eTCVa++45SSBdcYHlTx5YtCFnUyjQ7dgyVFpilljU1qCwoMLWu58iR2OJao+IEm1lpNNjBSgZAEAQIPGalutrYnI1ddHv2xN9BaSm9mk21WF0fAHr0IJYkkXROWRmVVCajORk5kgKe2tqY6R8zaSDGitSNHYucJUsQOnUqzJpo2RT2M1s/VlrIyFiOe6xXXgllyBCIv/51ck0eMxl/+xsF2//+d3pZFQCYOZOuz1R2d/7qK5p0GFUOmgHrOK3zMYmV/mElxY7t2yGXlkaUJ2sZFZaqYYLZ/Px8tKysRE2HDlGMStOmTdGsWTM0a9YMTZs2RdOmTVFSXIz21dU42aZNRGqosLAwPGZESujIEUht2oSZFa0jtCiKXGZFcbshtGpll/03EuxgJVNgFPEbpYLatQNycsjRMh4KCkhYxkof46FZMyrxsxJ4ZGeTs2Yi5b6q5iQpdmXMGAihEM1qU4S6sWMh+v3IS+GYpiAIkJ9/Hti+HcKMGend97mAigrgT38C7r03te6xZhAKAR99BEyblrogSVFIAzNuXHLjLF9++lqzAGHvXgj19QiprSjMwF1fj7xTp3CidWtT6+c3NCDP58NREyXVQiAAz8GD8HXqZLiOyGOc27dPr89OhsFc9ycbP34YXXjbtlFprh6iSAyI2QCkd29rwUcigtkhQ7i6kbho3/605mTiRMubK4oCdOlCf8MFCyJof605nPaVaUYYswIg/BpStTqBVq1Q37cvCj76CEdVgSb7TJKk8AyNlU061WZtWpaEfcbGFkUxvG/9sWjLL5U+fSA//DDEGTOASZNSO0s/lyHLwM9/DhQWAn/8Y/r3P28epYBSaeu/YwelhJPRwBw5QhMfTRqJnb/a81Vrow+o/a/WrKH1Bg0KMysA4Ha7w9dDjuqNws7zItWQLdCtG4pVUzyP2qDQ6/UiEAiExweAbmpw4e/WDcWqy2yuWkVUoKaGcnNzicWpqIAgSZB69oRLrYxiHc3Dx8xLeSfQvNGGedhhYKbAyAMiVsBgJQCxGnz06mU+EGIoKwM2bqR+KFaQCs2JIACjR58uGU0RTl51FfKWL4frhx9SOq4ZKA8+CPTqBeG220iDYSM+nnkG+Pxz4OWXiVFMN155haqA+vVL3Zjz55O/SjIVTWwSkYDmxbFqFeRu3aBYcOIt2L8fksOB2hi6Ei2aHT2KoMuFahMOszmqC6//vPP4Kxw/DlEtbdZCYeltG40CO1jJFLRvD3C6mcYMGJi3iTqbiYlevYger642dzwDBlDO36hzKQ9lZXQsiZTdjhhBN9RkeuOMHw9hxw5g+3YA/K7LsaqBeNqV4yNHQvZ4UPTppxGaFW3psv49nmGctiooViPECP2K2w3l1VeJXbvnHtvZNh5WrAB+9zvgN79Jv6gWIPZi7lzg9ttTO+7cucDFF1OJf6L46iuyJDBIyxi1dBAEAY7vvoM8ZAjXUp9V5+g1K80qKlDXvj3yS0qiNCvNmzePWtpVV+NUq1YobtYsvD7TrrCqoNzcXGRnZyN//34EW7eGs6QkXI3EmBWHwxH2hIlCaandqqIRYQcr5zAiLhxB4JcUxmNWfD5zIlvmrWDWuI3ltr/7ztz6ALFD+fmJpYLGjKHuycnoQ8aMgZKbS5oBFYYiVn23ZU15sTa4CGZno2r0aDT/5BOEvN7T72uCFf17PFfbWKXL2mOKeq9vXyj/+heEV14hsagNPqqqgGuvpaaBZ0rn8+qrxID85CepG7OqigKNZCuL5s83TCMZBSmCIECsr4eweTMJvtXSYK3AlgUrTGjLgpUm27ahvk+fiJJlVqLMRLZNmzY9HcAcPYr6zp1RXFwcDlKYLwsrXWautjm7dyPUowc8Hg+3dNlhpONLpk2Bjbiwg5VMAi9Y2bPHmG2w4v7aoweVLZoVwHbpAjRtai3wcDioDDmRYKVrV8opJ5PGyc4GJkyA8OGHiY/BwdFrr4Xn2DGULF2a0nHNQrnlFii//CXwq18BaXbV/VHA6yVdT3098P77yTm8JgqfD3juOeDmm4GiotSN+8knxFZOmZL4GLt3kxlcApoXYfVqCLIMecgQ09s4qquRvW8fakw65QqhEAoqKlBjUlPi3rkTwRhiX8FoQpbOdgsZCDtYySQYXdxG3iUtWlAXUTPaEo+H8uhmAwlBoPy2VR3JxRcD335rLjWl39/YsTQDTBCKokC5+moI69ZB2bXLeB0LfYIkSUJdly441a8fWn/wATe1oy9PjvVZrP3H/G5PPUV9Zq65JjEvm3MVoRCJWdeuBebMOXN26v/5D/UD+tWvUjvurFnAJZckV7I8fz7gdFKq1SKE5cuhFBVBOP/8iPJgh8PBNYXLzs5GkZqGkQYPRn5+fpghYQyLlmUpLi5G+1On4AwEEBgwIKJkWZv+YSmg7EAArsOHoZSWhtM/bAmXLnOuD6VjRwhnQsOUQbCDlUyCEU1pFIwIApVmmnV/tRp8lJVRGshK4DF6NHW4VSsILGHMGNKbJNK9meHyy6FkZ0OYOTPxMTg4eM01KNiyBYVWRcepgtNJ/h2tW5OnjFFePpOgKMAdd5CgdvbshMpyUwJZJmHvlVcm12RQj6oqMga85prkxpk/n679BB7W4pdfQrn0Ukslv1nff49QSQkCJjs0F23ZAtnlQh0zr4wBl5rikc4/n7+CovCZFTsF1Oiwg5VMghGzEusBydxfzYgvy8qAvXsBs5UtZWWUgrLSoHDwYLopJpLOGTWKKPxPP7W+LdR8e14elMmTIbz1FvdvwhPYxRLdsc9ODh2Kui5d0OmttyLe5y3az7UW4Lz1LKG4mB5ezZrRLDmTAxZJItHxG2/QMn78mTuWDz+ka+TBB1M77n/+Q6/JBCteL7UdiPP34Z7L1dXAqlWQx4yJOJe1Qlt912WPx4Ps9evh798fuWpXZaY5MeoN1GzXLjT06IH8Zs1QUFAQ0Z2ZmcHl5OSQzf7GjZBzciD06hXWqmj1KuKhQxB4LT/USiBbYNt4sIOVTAIzY9Nj7VrjbcrKqArBjJcc7lcAACAASURBVO0+K1s0mwoaNIhm9N98Y259gNa/7LLE0jmFhcTMzJ5tfVsNlFtugbBzJ7BsWVLjREAUUXHLLSj+/vszx64AdI4sWkTpvxEjkmsA+WOFz0epnxdeoBLlG244c8ciSeTnMnYscNFFqRtXUagM+oor+PcEs5g3j7Q8iQh0Fy2CIElQRo82v00wCPf69fBbKN3OKy9HvUnzPtfq1Qj160f3GQ7E77/nb2gzK40OO1jJNPTvH/3emjXGPhuM+jaT3mnblhazwUpODgU4X35pbn2GsWOJ7TFbJq3F1KmkeTlyxPq2KoQRI6B07AjxjTeM1+EwHOHZGWcRBAFVw4ahrksXdH7zTYicmaaeTeExKrGOJeZ30n7evDlViDRvTv//zz6z9Pf5UePUKTq/5swBPv449WXCVjFrFmmI/vd/Uzvu998DGzYAt92W3DizZlGquFs3S5sJggBhwQIo3btD6NiRy6xoy5gZw5JXXg6xoQHyiBFR5cxaK362NPF64TlyJKxv0TIxjFFhepgsjweutWshX3hhlE6F2eyLq1bxvxDvvmojpbCDlUwDz7TJ5zPWpTRrBpx3nvkAxKpuZcwYejAGg9a2kSRg8WLz2zBcdRVVFX38sfVtGUSR2JXZsyHU1XGDhQgfCe3NTrPoxYQujwf777gDTdatQ/PVq6NumNrf9WMYBUD6Y9LDMJBp3pyYo1Gj6G/2l7+c+z4sW7eSgLu8nNilBNyOUwqfjzo6X3EFpWNTiVdfJVfnZCz2vV4KZC2kkcLnm6KEO0fz+gVxrw+XC1lLl0IuLoY4cGBU3yDt7yxwKWRi2KFDo4ITVhbNUkzuw4chHjsGpawsWlSrXk8ir/N6cTGE7t3t9E8jww5WMg1GIsFYwYiVAGToUGJqvF5z648dC9TWWuvb06kTzeT++1/z2zAUF1MaadYs69tqceutgM8H8c03kxtHh5NDh+LUgAHo/MIL1IvoTCIvj/QSDz9MeokbbjBufPljhqIAr78ODBxIQfCyZcl1H04V/v534MAB4K9/Te241dXAO+/QOWyQ7jCFL76gFFAimpfNmyFUVEAZM8bSZs5FixAaMcK0INezZg1CbdtCNlHt5FRZE2nQIP4Kfj8xUnqUlaW/mWUGwg5WMg2DB/Mv9FjBSFkZUcYNDfHHHzWKLmqzOpR+/UgfYVWDMmUKCWWtMDIM06aROZxRm3czaNsWytSpEJ97DlD7+PAErzzGQ1sOqae53R4PDvzqV8g5cABt58wJv69duOWUJlNDlgWAogg89hjw3nvkdNq7d1Ll32cdamooCJs+nczW1qwBjCpB0omjR8l87u67ycMolXj1VWJtfvGL5MZ5/306HxKpUPrwQygFBRAuuyymmDyinLmqCo4NGyCPGsUV34bTOZol59tvEbzkkjCLEsGkqEv4ulq9GnK3bnA0b85lKcUNGyBwupQLZ0NgmwGwg5VMQ34+XwwWj1kJhcyVC/fsCbRpY/6B5nAk1nNn6lQqvUzExOyaa8jgTa28SRTKffdB2LMHwty5SY2jh7dbNxybOBHtXnoJrsrKlI6dMK67jtIj559PqYM776QH/Y8VikIP2549SZ/y3nskOE3Gcj6V+PWvqXLtD39I7bihEPCPf9D/02THYi5OnCBDuZtvTmz72bMpzaY2HzQDx1dfQVAUSJddZmp98dAhOLdvR8Ck/4tj1SrIgwcbr2DE/p6pkvYMgx2sZCJ4M4EDB4CDB/nrl5aSa6YZjYggkKbEyux7zBgKhI4fN79Nv36UDkqksic/n9iV114jD4s4MGQjBg+GMmQIHP/4h2Henceo8Eoz9cvhe++FkpWFLv/4R9QM0OVyRRlo8ZgV3uww7neKhfbt6f/64ov0cO/WjSz6E2G3ziTKy6nS6Sc/oYq0jRtT28U4WcybB7z7LnmrqB2CU4aPPyafofvvT26cd9+la+enP7W+7datEDZvhqBLH8ViWARBgGPhQsi9ekFs2zaqxJnHVGZ/8w0UUYRy2WURrCT3GqqpgVheDlx8ccT1FHEMHPZZcTjoHLLR6LCDlUyEVd2Kw0E6D7Psx9ix5Atx6JC59ZnIb84cc+sDFBRdcw3dfBPRdkyfTq0GkrS4l++/H8LSpdwbWTKQCgpw4H/+B00WLUJBMv2MUg1BIFZl82b6P//iFxTMzpp19gtwd+2iY+/Xj6rBvviCzp+OHc/0kZ1GXR3w859TOvWmm1I7tqKQUPrSS5Pr2qwolEqaOJGE2FYxaxZNGKzoVUIhiPPnQ7KwjWvxYkj9+pnq5uxYvJhs/0eN4q+gKPz7Y58+pO2y0eiwg5VMhFGONVZKZcwYcps1I7AcNYoeamaDm1atyEPCKksydSpQWZlYwHHxxVTl9NprljfVzraUSZOglJbCMWOGYbmyngUxw6y43W7UTZiAmksuQfvHHkNWbS13BmmGYWkUo6r27YE336Qqsq5dianq1w94+23jMvgzhbVr6fi6dyed05//TOxKAr1sGh2/+Q1w7Bh5vKT6fzZ3LjGYv/99cuOsXUtsVKJlzywFlJUVc7WI6+ibbyAcPw558uQwa2jEIDocDjgAuL7+GtKoUVHXCK9Kz7FoEZQePSC0b89ndvbsgXD4cPQx2nqVtMEOVjIRnTvze4HESt2MHUuVEosWxR+/pISoUSupoKlTKbix4p0ycCClgt55x/w2DIJAN9tZsyjgSRCCwwH50UchLlwIYfly/o2Q0/NET0nrxYIulwsutxs/PPYYBFlG2z/9CU41wOHdeHkBSlrQpw89BL/+moLOm24C2rWjHjZr1545tqWqigzdhg+n82TtWuD554F9+4AHHqDuxWcbPvuMgpSnn6ZGn6mEopD+ZdiwhHr4ROCll0iXlkiwt2kTUF4OZerUqH5VsfpZOT7+GEr79pD79zfcTnveO9atg3DqFEKjRkVdE1HXCkApJtVJl7sYeUGl0qjPRkzYwUomQhBI1KrH7t208NChA81MraSCvvzSvJ5hyhRa14oBmSBQ+eXMmVT+bBXM8OvFF61vq8XkyVBKSyE+9lhy43AgNWuGH/70J+QvWoSCJJ13GxXDh5PWYtMm4PrrSbw6cCCliGbMoBm91eaTVnHsGGlprrqKgvG77iIB5/vvU0+ou+4iYfXZiKNHKXi+4go6zlTjv/+lstv//d/kGJvjx4k9u/tuSg9bxauvkneTlfYFkgTx008hXX216WN3LFwIpbAQ8oABcdcVtm+HcPBgbCdd3n1PEIhFtpEW2MFKpsJoVhQrGGFdi83MlidNotmtWb1F27akpbHqf3LLLVRSnUhjwaZNiQl4/nlTqQtDxkIUw+yK+PXXcYW22jSQkUhQy7b4xo1D9bRpaP5//4fsHTu4pnBpZ1SMUFoK/O1vJNaeN49SQ088QUxbSQkFEs8+Sy7CVgTVegQCFIC89x493Hv2JNv466+nB/9TT5FmasEC4Nprk/MTaWyEQnTcgkAP81T/DyUJePRR0qpcemlyY7H01M9+Zn1bvx/K229D+elPw8wWrxt4FLuydCmEY8cQmjQp3G1c22Fc38lcURS4Pv0UwbFjoTgccTuPi19+CcXjgXLJJfzjDgTIuFKP/v0p8LKRFghKvN7xNs5NHDvG7wly1VVUksjD558DEyZQg7t43gqKQlT26NHmmYtnniEDsmPHrHVwHTeOmJVEevVs3UoPurfeMl3ZwC4Z7Q1QkWU4LrkEis+H0IoVkNUHjizLkFRGIaQKgbW/699jr7KuSknw+dB22jSI9fU48tlnEFTRoFN9CDvUWS4LgLTvsVcW4LCfgdO6gHhOt0khEABWr6Yb/uLF5OnD/CqKi+lcOu88oEkT+r+zBSDTsbo6eq2upkaZO3dSRQv7G/XoQemN4cNpadMmtcff2HjwQUr9LFyYfDDBwyuvUPfolSuTc8L1+4lhnTyZqsCsYtYsYNo0KJs3h71stI8f9jM799n15bz3Xgjz5sG/bRskzXWhX59B3LED+YMHo/7ddyFdcQWAyPNcfw24r7oKkCRI8+ZFXQ+CIABLlkAcOTL6+zz8MLGGNtICO1jJZPTvD6xbF/lefj55KLhc0evX19PD5S9/Ae67L/74Dz5IzqCHD5ub2VZU0M3QQuAAgFiVa6+lwCMRA63x42k2vnatqVkt7warKAqwciUcF1+M0MsvQ1YrOdhMEDh9U9UGKPpAhq0jSVLUTNB14ABaT5wI/6BBqHr1VUBlVYCzPFjRw+ejgGP79tPL7t3k28KW2loKeHNzacnLo6VDBxL0soUxKj9WfPgh6bWeeoq8VVKNmhr6O40enZi2S4s33qC0q5nJCg/jxkGpqQGWLYsbpLDf5UAA2V27IjhtGgJPPBFehzEovO1ynnkG2f/4B6q2bYOQkwMAEed9xDXg9SK7XTuEHn0Uyv/8T4SuBVDZ1P/3/yA88UT09/n6awqObaQFdrCSyXjoIaqM0GPJEpqp8nD55RS0mEnvrF5NjrmLFgG8mQkPI0ZQwMCjXY3g95PB1fTpiVmTf/nlaW8YE6WRhsEKAOGGGyAsXYrgpk1AXl5KgxVBEJC9eDFa3HEH6m6/HdW///2PM1gxA/bdz4ZjaSysWUMPuyuuIF1NY3zXhx4i2/7t20n4nChkmcTUHTtasxhgqKgAOnaE8tJLwG23mQ5WhDlz4LnmGjR8+y3kCy4wFawUXXoppO7dUffSS1HBh/4acHz2GTzXXQf/hg0QevTgByuDB0PQd6bPy6NJ3dko1D5HYWtWMhlGupVYVTxTp5KV/g8/xB9/4ECaCVsRhk6fTqkCI6EvDx4PzfheeYUCKasYNYro8T/+0ZQeJ5Y2RJ4xAzh5Eo7HHw+va8aCP9Y62v15R4zAyUcfRf5LLyHnrbeicvG8igqzy1kFQTi3A5X9+ylI6d2b2MfG+K67dlFq9Te/SS5QAega3rwZeOSRhDZX/vUvKHl5VEKufZ+jOWFBfCgUgvjGG5D69EGgtBShUAjBYDC8BAKBqEXauhXOzZtRP2ECAoFAxPrBYDCceg2FQpAkCeKHH0IuLYV03nkROpjwcuwYtx+QMnKkHaikGXawkskYOpRvaBSrQeCkSVQF8NFH8ccXBApuPvrIfCXIlCmkV3jjDXPrM/zyl0R5J9JYUBAoUFmxglgWS5vqShw7doTyyCMQn30WwsaNcV05jcYBjAOP6ptuQu2tt6LJo4/CPX9+1M1eKzTUPgx4QQ0PZ2Xwci7h5EliKHNy6FpTUxUphaKQCLZ1a+C3v01uLEmiKqJx4xKyllfq6qjc+fbboeTlRZzLvPM2LKI9fBjOL76A94YbwsGI3++H3++Hz+eD1+uF1+uFz+cL/+785BPIOTmoKSuDz+cLr8+WQCBwOmCpq4Nz3jwEJk0Kv6c/FsydC4F3LVhswGgjedjBSibD7eanZzZtItqYB6tdi6dOJT2I2R4+OTlkg/7GG9ZKXTt0oEDn2WdNWehHYexYYMgQ8qJI8kGt/PrXQPfucPz8541Wrnvy97+Hd/RolPz85/AkIiy2cWZQU0MP/aNHSbCeiAOsGbz5JqVSX3wx+X5Hs2YBW7ZQwJLosVRXA/fea2kz1/vvA04nAlOmmN4m7/PP0TBiBJQ4hnMAOdwKdXUIXXWV4TrChx/yPzgbDQXPcdjBSqZj8mT++7FSN1Onkmvs0aPxx7/wQhL4WWFKbruNSl+tNje8/34Sbn7+ubXtgNPsysqVyXcVdrsh/fvfENesgWjRw4XHpOhnnJIkIaQo+OGZZ+C78EKUTJ8OcdWqMLWtX5831o8mHXQuoaGBUj/bt9O5nepuygzHjpFY98Ybk2cAGKty+eWkP7MARVGgSBJNIKZMgdK+fUxGRZuiCQWDcL31FnyXXw5/Tk6YPWFLQ0NDeKmrq0NdXR2k1avh2bYNlePGob6+HvX19eF19Nv7fD44P/4Yoe7dEejSJcyqRDAsVVUQFi6M/l59+gBdutjXS5phByuZjquu4lfqxGJOJk2ih/vHH8cfXxBIhzJ7tjmrfoC0Lr16kQbFCsrKKDj629+sbccwZgylxh56KGlGRCkrg/Szn8H5+99DsKK/sQKPB5UvvohAr15oeuON+P/sXXd8E/Ubfi6re1K20LKVJbKngIIoS8ZPURCQIVNkg4ICypKtDNkUWbJkyJC995ItskoLZXSmbdLs3O+PNxcuySW9pGXpPZ9PPpcmt9J8c/d8n/d9n1d19uyzOY6E3EOrJYv5CxfIf6Zq1WdzHJYFvvySfnczZ+Z+fytXUvXPuHG+bb99O5jbt8F62ThRfuoUFHfuINuLBpORmzfDlD8/ssRY4BsMUO3eDUOrVm5Xke3YAUbI1PJ//xN9ThLyDhJZ+a8jIkLYhfHSJVIphBAVRVU7YkNBXbuSO+1vv4lbn2HI6GvrVqoi8AaDB5P8fe6cd9txx50xg/rdrFjh/fZOsE6eDBQsCFX37oLNFvlqBt/silNFHGaabh4mpRIPFy2CsUIFRHXqBPmhQy77EspjEaOmSDPHPIJaTUT4zBlS/XzI+xCNlSvpd/nLL7k3LNNoyEukQwffOwvPnAm2Th2wNWu6zVVxHtNGoxHKhQthiolBZrVqDvkpnGKi0WiQlZVlf2hTUhC+cycevf8+MnlqC/fgttPpdDAYDJAfOABZVhYymzVzSL7ln5fcTQiIbd9esJpJwrOFRFYkUPdiIXgKBX38MeWhiOmsXLgwycjeNA3s2pU8X+bMEb8NQLOesmWBH37wbjsOtWsDn3xCF2mNxrd9cAgOhik2FsyFC1BMnZq7fXkAGxyMpNhYGGrWRNTnn8Nv165ndiwJXiIpiYj9jRtUwu/OEiAvEBdHqkqXLi5VNz5hyhRyoZ4yxbftDx4Ec+QIWC8TfGX378Nv+3ZoevQAZOJuUZGHDkGh0eCJSBv/4G3bYCpdGmZ3fjEZGZAJ9EFjK1Z8duE7CR4hkRUJFAoS6vORE1nx8xOvQHTvTmrH5cvi1g8OBnr1oioCb/r+yOVkLb5tm2/qCkDeM+npZH6XS7C1asE8YgQUkydDZgvTeMohcchLcVZRBMo27X8rFEicNw/Z77yDsG7doFq0yGFfnNLinMdiP09pdpj3uH6dwpKPH5Mvka/qhBiYzZSjEhXlPcEXQkICGdUNGULJ616AZVmwViswbhzYatWAVq3c5qrwxzk3lv0WLQIbHIz01q3tigj34JSUzMxMqNVq+yNy61akVKyIx8HBDq9nZmYiMzPzqQKj1cLw+DGCdu+Gul076PV6h98S9/tgtm8HI9CCw9qunaQ4viBIZEUC9Wx5913X1y9ccO93EhZGKsayZeKqZ1q0IKdRb9SVAQMoKTE2Vvw2ACkjZcv6Xr0QHU0X6enTvQ9DCcA0ciSsVavCv2tXICVFsEzTHUHhX8T5fhLO/hEmkwkmmQyPfvoJmV98gYgxYxA0ejQsRqMDWeEgFAaSEm3zEPv3P7UGOH2acrCeJcaOpeTwlSu9a1XhDl9/Tb/xb77xbfsDB8AcPQp2zBiwgAtZERrvRqMRprQ0BK5Zg4wOHaBlGHuCLEc6MjIykJGRAbVajfT0dKSnp8Pw99+IunQJ1+vUQWpqKtLS0uzvOZMWjUaDwM2bwVgsSHn/fYfyZr4Pi8JNPp61XTv7c+l38nwhkRUJBHdJY54sunv0IOOpI0dy3r9SSfL0ihVEQMTgtdcoRPXzz94lvHLqyvbtvqsr33xD+TxffpnrUmYolTCuXAlotfDv0ePZdh+WyaAeNQqp48cjcNkyRHbqBCY19dkdT4IjWBaYPZvKk2vXpn5VxYs/22Nu3QpMmkQNI+vVy/3+Dhyg/LJJkygU6y1YllSVGjVokuIFgtatg0yvh/qzz0RvU/rwYRgDAhAvosMyAOTftg3p9erBHBUl+D6TkgKFUBXQ669TewcJLwQSWZFAaNtWOBQUG+vet+Ttt6kBnVi1pF8/8lvwJnl18GDg7l3PRnVC4NSVsWO9245DSAgwdy6Fk8QY4NkgFF6xWq2wFC0K3dKlkB88CP8pU1wkcWeFJSenTkFlxTYztFgsyOjYEcmrV0Nx9SoimjSB7MKFHBNtPX0mCSKg0ZBH0MCBpApu3543Kocn3LxJk4B27cipNrfQ6Sj82qABdTT3AvaxtHcvmOPHYf3uO7uq4s64kK8cGrKzEbR0KTLeew/aiAiHsmROGeGUktTUVKSkpECdmIjS+/fjSs2aeJyZieTkZKSkpCA1NRWpqal2hYVTZHDxIoJu3sT9pk1dTOW435Vy/XrBKiCrLbFW6PciqSzPHhJZkUCIihKeBcXHu+/Tw5Ulb9hAJCQnxMTQRXXWLPHGbTVqECmaNMk7hUMupzDQzp1k3+8L2ralfJ4BA8SXXXuAuXFjGEaPRuCMGVD++Weu95cTDPXq4cnOnbAWKIDI1q3ht2CBb4Z5EnLGpUvkQ7JjBzXWnDlTXPPO3ECjod9T4cJ5Z9k/fjxw/z7liolMbnWA1Qpm1CiwtWpRg1AvELxjB5T37yPF1gRUDF4/cwZ+Oh0uNmggav3ovXthiIxEmrvu0yyLwLVrBd+ydOwo+rwk5D0ksiLhKbp3F3596VL323TpQo0E3fzAXTB4MM0GvblZjx1L4ZwdO8RvA1DJZe3alH/ia+hlzhxK8PUydu9u9qUfPBiGFi0Q0rs35Bcveozhu1NPhBJshXJdrFYrTIUKIWXTJmR36YKg0aMR0K4d8PChTwqLBAFYLJSIXaMGhTrPnnVfXZeXMJtJPUxIIOUvLxScy5epEei33/pe8bJiBZgLF8BOm2YnT54MDrlcFaNOh/A5c5DVsCHSSpSwqypCigr3SElKQsX9+3GtbFncNpuRlJSEpKQkJCcn29dJS0tDWloa1Go1spKSUOTQISQ0aoQsnc6eD8O34pedPw/ljRsuH8tSvz5YnhGc9Jt5/pDIioSnaN6ckmCdsXkzlTAKoWhRmkEtXixO+ahTh2ag3hhWNW5M6orIRoN2MAypOBcv+tYzCKAGcJMmAQsWiG8Z4AkyGbJ++QXmcuUQ+fnnkD98mPt95gQ/P2T+8AMy1q+H/Pp1BNetC8WaNbnPxfmv49Ytalfx9dfAoEHko/I8ylpZlqzrd+2iir28yKMwm4GePSl0OnKkb/vQaIDRo8F+/LHXuTNBf/wBv7g4JPfrJ3qbMrduISo1FcdEOuuWvHgRftnZSBDyleLOY/16wddNXqg9Ep4NJLIi4SmUSvI3cYbBAKxZ4367fv2A8+eBEydyPgbDkNJx4ABJ52LAWeGfP085JN6A800ZPdp335R+/YCGDUlFchMOcjfDEnrN6u+PjBUrwCqVKNCjB9iMDI+mcEKqi3Nui3OJslAejLFRI2QdPw5z48bw790b/m3aAHfvuo2/S7NGNzAagQkTqGPy/fsUZpw6lUr5nwdmzgTmzycCnVcN9SZMoOq/Zct86ibMsqzdl8U6ebJbAzjnsWwymWDQahH2889Qv/021KVLO9joOysrnFKSnJyM6keOIK5AAZxVKPDkyRMHZSUlJQUpKSlPlZX0dFTYuxcPypVDUni43SCO/zBlZCBw61aXz2YNCYGpdWvp9/CCIZEVCY7wJRT0/vs0oxSrlrRvT4qFt+pKw4beqysA+aao1b77psjlT5uxffmlw1tiLmBCsrElf34kx8ZC8eABCvbuDatWK0g4+A6fQiXOgn2DnN7j3zQsERHQLF6M7A0bILt1C37Vq0MxcSJYrVa6GIvB3r3AW29RPtTgwdT0s2HD53f8NWuAYcMoLNmzZ97s8+RJylX57jvyhfEFCQnk/jx4sN2XJafwD0dWArdsgSo+HnFdujj0/MnKyrInxnKJshz5CLx5E+UePsSmEiXsxCQ5Odltgm3EtWsonJiIU3XrOrjZ6nQ6e0g1eNcuyAUmNIb27cEGBEghoBcMiaxIcES5ckD9+q6vX7xIyoYQZDKSwbdsocqdnKBQUMXEmjXAvXviz23cOOCvv7yvDOJ8U6ZOpVJrXxAdTRbmq1eLz8/JAeZy5fBo8WL4X7qEYkOHCvcheUawNGsG7enTMPftC8W0aVBVqgRmzRopAdcdrl+nBPT33qPO4xcuUKlwYODzO4fNm0nd69qVlJC8QFYWmcnVqkXqo68YMQIICwP79dfebWc2o8CiRcho3Bhad26yAmhx5QqSAgNxukgRUevXP3cOSZGRuFu2rNt1otxcVwydOok+LwnPDhJZkeAKd+rK7Nnut+ncmXxJPK3DR58+tP6kSeLPq1EjyhH45hvBXjseMWoUUKQIHdfX2VDHjpS027dvrsziGIaxPww1auDxggUIPnkSr40aBcZqdXhf7IO/b5lMBplM5vKeC4KDYRo/HvoLF2CtWROKzz+HomZNIoNSaSbh7l3yE6pcmSzzN24kX6FKlZ7veezaRWOvfXtSOX2p1BHCwIHUEmDVKp+ql1iWBbt9O5j168FOnQqEhLgoD57CQIG//Qa/hAQ86NHDnujKd6zlm8BxYaCAO3dQ4949rChaFEm2kBD/4RD+Uavh9+AByt+8ib2VKkHDU274Jct+f/+NkAsXXD6f+Y03YKxUSeqn9RJAIisSXPHRR8JmUL/9Bjx6JLxNYCARgaVLxZUxBwXRbCw2lnqaiMX06XTTWLRI/Dbc8ebPJ2fRlSu925YDw9A+QkPpf2Qw+LYfJ+jq10fijBkI3bsX0WPHek/Ecgm2RAmYf/sN5oMHwUZGQt6uHWS1apFS9iwN7F5m3LpFpL1sWapCmz6d1JX27fOmRNgbHDhAZfQffECkQsgPyResWEG/vzlzgJIlfduHRgP06we2WTPASwWCycxE1OzZSGnRAjovVJW2ly8jOSAAuwoVErX++zdvItvfH2c8qCoxbhxrdR07Pv/vW4IgJLIiwRXBwcLqiskEzJvnfrv+/ekGvmSJuOP07UuSujfqyltvkVnVmDHee580ncxyWQAAIABJREFUa0bqyJAhQEqKd9tyiIig2fXFi8DgwW4VDj48qSGcCqJt2hQPp05FxO7dKDFqFOQWi309uVzu8JDJZPbnzuvwFRUxSgwfbL16sOzZA8u+fUBQEGTt24MpX57CX1qtb/+vVwksS8myrVtTOHTnTiIpd+9SmPN5JdDysWMHVek1bAisW0dJ8HmBixeB3r3pdy6UVC8W334LpKSAnTfPwVY/J9NDs9mM4NmzIdPpcO+LL2A0Gl0SXrnuyhqNxq6whCckoGZCApYXLYpkWy4LvxeQWq1GRkaGvRcQm56ORnfv4kDZssgwGl16AZlMJsiTklD48GGXj2YNCoKuQweXzyPhxUAiKxKE8dVXwlLzggXu7fILFyYHz9mzidjkhKAgKpNcvtw7dWXCBECv9y1uzxnSDR3q/bYcatQA5swBs2CB7yqNALKaN8e96dMRevgwSo8YAVkeKTdeo1EjWA8ehPXECaBqVQoVFCtGycV//fVizulZIjWV1IUqVSjMePcuKXdxcURSnmdeCh/r1wNt2hBZ2boV8PfPm/2mp5OZXPny5NLsq3Jw5gz9377/HihRwqtNFfHxCFu+HMndusGYP7/o7T65eROPAwPxZ4ECotZvlpAABctiv4eS8pgdOyATUDOzPv4Y7LN2IJYgGhJZkSCMkiXpQumM1FTPN+hhwyifQ+xNvE8faqToDfEoUoRIzuzZ7hstukOBAjRbXrHCO2M6Z3zxBdjPP6fzFyjBdpdPwn9wSghfKdE2aYKEuXMRev48KowcCX+Dwf6eQqGAQqGAUqm0v6ZUKh3+5vYnKmfFDeyz45o1YV2zBuytWzQL37QJqFqVOunOmkVlu68q9HrKzenQgcbTkCE05vfuBa5coUqbgIAXd35LlxLx//RTIi15pepYrZRQm5EB/P67z5+R1evBfvEFEbxBg+g1N9UyfFWCy1WJmDwZ5shIPOrUyaWVBJe7kp2d7aC0FHj4EHUfPcKq6GhkZGfb81q4HBS+fb7BYAB0OrS5exf7CxVCqlLpUlVntVrB6HSIFrgOsDIZMr1sNyDh2UIiKxLcY8gQ4dd/+sl91UilStQUccIEcepKYCCZav36q3eVOkOHkoGdL/1QunWjcuvu3X0PBzEMhcTKlSNS9+SJ7eWcE175hMI5xKNUKmFo2BBxv/yCoH/+QYXevRGSng4/Pz+oVCqoVCoolUr7c47A8B9CxIU7vjPEONmyxYuDnTQJbHw82K1bgeLFqeqjeHHqLDxjBuVzvOyJhenpdOP/9FMgf35qpXD9OlX1JCZStU2TJi82R4FlKcTZsycRxOXL89a2/7vviKSvWUPtL3zFmDHA33+DXbwYrFzu0g/LXTjIarVCefIkgvfsQfLgwTAplS6uzHxHWS4JVq/Xo+2lS0j098e28HCHbsncw9mHqP2TJwg1mbAqJsZhnPNR+uRJqLKyXD5e9nvvwVysmO//Hwl5DomsSHCPunUp5OGMGzeoOsEdxowhCV2sa2zv3jS7HTFC/LkFBlIp8ubN3tvwMwyZX5lMwBdf+H6TDQgged5oBNOmjfhu0iKQXb06bsbGQpadjTe6d0eggAX4c4dCAbRqRQrLkydgV6ygm/7o0UCFCkReevak8u64uBdPXjIzKaF6zBgyB4yKIiXlxg1S5q5fJxVlyBBS3F409HpSPcaPJ2+gefPyruoHILVm0iT63TRr5vt+Dh0idXL8eMoh8wZGIyK++w66ypWR2bKl6M0qpKSg1uPHWFqsGCwi/if+Fgs+T0rCnsKF8didemS1ovyePYJvZbiriJTwwsCwUp2VBE9Yu5Zmos54+21AICnNjo8/ppj2zZviHDHXrKFqgoMHqURZDFiWFJIbN4Br1ygx2Bts3kyx+6VL3Zdr53gKLPnPNGwINGsG67p1gExmn8FxyYUA7EuzLT7OmWIBEFyazWYoUlJQ/Msv4Xf3Lu6NH4+Mxo0BUGIuAMhtlSHckgsTcc+dl9xzbn3+frjnnALDXwq9ZodOBxw5Amb3bmD3buDvv+n1QoWIJLz5JpX+VqpEoZa8qmbhIymJDNquXaMeN6dP098sS0ncTZqQR0rTpkSqXjYkJ9NYPHuWQqh53V9o716qJurVi0iQj+oRm5ZG32epUsC+fWBtY4avWjiPc5PJRGEZAKrp0xHx00+4s24d9OXK2d1pASA1NRUAkJycDAB2R1qGZfHNpk2wMgy6lC0LlmGQlpYGrS3pmzsONyYDAwPxldGILx8+RPf69fEkIAAFbGS0QIECKFy4MACg2oMHeEfAaiG7UiUkbd0KMAwCbflKfn5+9t+V829OSLX0JfwqwTMksiLBM0wmusE8eOD63oED5CwrhGvX6Oa0YAFdIHMCy1LfIKORLthib2h37wIVK1Jl0YwZ4rbho0cPqrK4dIkuwF6C+/mwW7eCadcO7ODBYKdOzTOyAgBWjQbFv/0W4fv343H37njYpw9kbi6cL4Ss2GB/LSUFOHWK2i+cPk3qhe0GBIWCyEJMDD0KFqScpagoqrTy83v6oH8EjQmjkfIs0tLokZREHcG5B1cur1IBb7xB/adq16bH66/nrUKR1zhzhkKnej0pdXXq5O3+r1who8f69Wn/voaVWBbsp5+SqnrpEoUDeeM8J7Iiv3MH+d55B5nduuGBzQlaDFmpd+sWehw7huF16uCIbd+eyEqUvz+OJSbiQHg4FlatCgCuZIVl0X3ePOQT8Eu6P3UqLDayKJGVlwcSWZGQM6ZPF84NadCA1BV3P8xPPiEr71u3xKkrJ09S6GnZMsorEYtp0yjv5cwZoFo18dsB5OBZpQrdLI8c8TqR0eHn8/PPYAYPhnXGDFi/+sr+PlfuKERa+Bd07jXn9ywWC8CyiFi8GAVnz4a2Vi0kTpsGS0SEoMIiRGCc33Pejsul4b/HJy+eyIqoC/WTJ3TTvHWLXIvj4miZnExJ2wJ5A4JQKkkpyZ+fSE90ND1KlybSWqpU3uZ4PEuwLLBwIVXeVasGbNgAvPZa3h4jIYFISr58NL6F/JPEYsUKoGtXsGvWgO3QAQCPrLOsW1JuNBqh1+kQ1aED5A8eIGHHDmTZ1snMzER6ejqAp2QlxZZHlpSUhIzEREzduhWXwsLw45tv2tdJT09Hti3syv2+uPE62GjEoLQ0tKtYERbb/5MjK4UKFULBggVR6vJltF6+3OUjmgoXxu1duxAUHg4ACLCFkLhcMeDp74n/O/FE4iXkDV6RX7WEF4o+fahJmXMy6tGjpK68+67wdmPG0A1k6VJSPnJCnTpEcEaNIhlcbFhn0CDKk/jiCyIs3tysQkIo1FW/PuUuePKRyQlffQX20SPIhg4FGxQEtkcP3/flDIZBSo8e0JUvj2IjR6LERx8hcdo0GLwlZy8KBQvSw13HW4OB1BG9np5zZdtKJRFdpRIID6dy93/DDUGjIV+iFSuoJHzGDJ8aCHrEo0f021QogO3bc0dULl8G+vQB27Ur/Ua9nOMGrl8P/5MnkRgbCzYgQHRT0ZbXriHIYMAyD4ZufARZreiRno4/oqLw2M8PgkXRVivq7N4tuH1Kr15552UjIU8hHzdu3LgXfRISXnKoVHSD2LvX9b07d0gFEbqB5M9PM+nYWEqiFaNa1KhBSonVSp4XYiCX08x0wgS6mXnZnh5Fi1KC5dixNEOvXNm77TkwDNh33gFSUsCMGwembFkia3BUJFiWdTGG40qZ+UuuWohfNWSNiYGmRQsEHT+OqAULIAdgrFkTMqXSocLInRrCr/QRWvIrOPjvOa/nMQzk5m+PUCjouwsLIxWgQAF6cOGh0NCn4/BVx8mTlOB69iz9NkaOzPs8npQUIioaDSXE5iZPR60G3n0XbJEilFzNu5m7CwNxSgvLsrA8fIiIzz9HdsuWSOnSBVarFQaDASzL2suNWZaF1tZMMzs7GyzLQvHwIbrt3Ytd5cvjSFQUtacwGCCTyWAymcCyrENJv0qlwhCNBrX0eoyvWBGmwECEhYVBqVTal+Hh4XgrLg5vHjni8jENhQsjafJkyGzVdgzDQKlU2pf83yXw9Hcr9FuTkPd4iQO5El4q9OtH5MMZx48D+/a5327SJJoxT54s7jjR0VSWPG0a8M8/4s+vRg3a7rvvBH1PckSvXuSM26sXzSJFwqVUWSYj/5fOncF07Qpm+3ZBfxWOhAiVHnN5J1x5svODiY7Gk/XroR44EBHz5+O1Tz6B3/37DnknfNg7PQt0ZubKRrkcGb4PBX8doW7QOZY8SxFmR5hMRIjr16ff0sWLXlvUi4JaTWQoOZmqobw0bHOA1Qq2c2ewqanAxo1g/f1z9FJxcK01mxEyaBBYhQIpX3/tMu6cy435Y6zN4cPIViqxo1IlF18hPz8/BAQEODzKqFTokZGB34oWRXZUFIKDgxEUFOTwCPDzQ003/kpJPXtCHhDg4hbtzhVawvOFRFYkiAPXy0cI48a5l4WLFyejuJkzxXdYHj2aYve9e3snN0+YQL4nnTpROMEbMAzZypcrR1UZ3lr58yGTgV28GPjwQ8g6dADjbZdoMVAokPHVV3i0YQNkajUKf/ABQpYsee59hSSIxKVLlI81cSIRlqNHScXLa6jVVPUTF0dKqBc9dwQxcSJZA6xa5VP/IL/YWPjv34/kKVNgjYwUvV3Z69dR+fZtrK5ZE3qRYZmBjx4hUy7HqqJF3a5T7to1RCYmuryuL1QI6a1biz4/Cc8fElmRIB59+wr7UZw4QSWr7jByJCVFim0fHxhIVUSHD5NMLhZ+fpS7cvs2dWb2FgEB5OqZmkrl2rm58SsUYFevBtu6NeQdOkC2bp2LSZuQgy1fWeE/5z/4CoylenU82bUL2g4dEDFxIgq1aQPF1auCrqF84y0hAy7nnincw7mvC//hTl1xDi39Z6HVEsmvVo1KvE+coFyuZ5EEnJxM1Xk3bwJ79vgezrSB3bYN7NixdL7Nm4tyqOX3AcLffyNozBhkdemCrAYNHFQUvprirNKp9Hq8t20brpcsib9Kl4ZSqYS/vz/8/f0RGBiIwMBAhISEICwsDGFhYQgPD0d9uRwfZGRgWcmS8I+KQnh4OMLDw+3rhIaGIiw4GA0OHBD8rA+7dYMiMNDFWFFszy0Jzx4SWZEgHlwvHyEMH+7+5h4cTDO0devoYi0GTZsCnTuTKmNzhxWFSpXIUOunn4RzbHJCyZJUlbFvH1Vp5OZGq1KBXbUK7KefQtalCxhviJcXYIOCoP7hByRt3gwYjSjUqhXCJ04EI7bCRsKzwZ9/Us7S7NnADz8AFy5QSfWzQGIieR89ekQkv3r13O3vwgUi7K1bU2jVWxiNCO3XD5ZixZAxerRXmzbaswf+ej02i3QTZlgWA+PjcTM4GLs9dGKucuEC8gl0jdcXKYKUFi28OkcJzx9S6bIE75CdTTd0IQKxYAGFboRgtdIFVKmkBEMxvhfJyeSZ8d57ZBonFlYrxeyvX6f8k3z5xG/LYckSqi6aMcN92wEBOP+cWJYFa7GAGTAAsoULYZkxA9YBA2ynaXUpaxbyZ+HW4S+dX7NvZzAgdOFChM2dC2tQENKHDkVGu3aAzRKdW885IZBTdwDXkmdupsl/j8uNUSgUgqXO3PI/6T9x/TrlT+3aRUniCxYAZco8u+PFxVEyrdlMOSq5Pdb9+0CtWmCLFgUOHgRr8xrhjx/n8cepJACV4Qf+8AMCFixAyrZt0JQtC51OBwD2cmONrRooKysLGTaPHLVajUJxcWg/axb2NW+O/RUrIjMz074eALu3il6vtx/7nUePMOLyZXzboAGu23JVwsLCAAAREREAgEKBgeg6cSKCBKqQEsaORVqbNggODoa/rVkkv2QZcPwNeCrtl/DsICkrErxDYKD7mdZ33z0153KGTEbN786coVCNGOTPT7kuv/3mXdNBmYys/vV6Spr1pa17z54Utho2jJxucwOZDOzcubAOGQL50KGQff21b+ckBkolMvr3R+L+/dDVr4/8o0ahWJs2CDh58tkcT8JTJCdTInrlylQFt2kTKXTPkqicP0+5MHI5cOxY7o+VmQm0aEGVV3/8QWqql1AeOoSAuXORNXw4TJUqid5OZjaj8W+/4XGRIjgv0hjPz2zG5zdv4njBgrgeFeV2vRr79gkSlezixZEmqSqvBCRlRYL3MJnogizUr2bECPJkcYcOHchS/8YNymPJCSxLyso//5BKYjNrEoWdO4GWLamHiZdSNAAiFJ98Qh4Vhw55JeG7LfmdPRvM0KFg27WDZdkyWG3l3EIzVmdlhf+3swGX0AzXYrHA/9IlFJg0CYGXLyOrZk087tMHWl4/F25GyDeM4xQVvgkW91zIGEvIJIvbtxjn21ceqalEqmfPJtIwZgx5qORVp2R32LoV6NiRQp9bt5KPTW5gMgGtWoE9dYqq/MqXB+A4fp0VFWeDQ9n9+wht3BimKlXweMkSQC6HXq93q6xoNBq7avL62rWosWcPYvv1Q1KRIsjKyrKvzy05236j0QgA6PTXX3jv9m1807IlMm3VisHBwQgNDQUAhIeHIzQtDV1//BEKgTD1zRkzYPngAwDkViukqAA07r1RECXkPSSyIsE37NxJMzBnqFTUG8Zd5cCjRxTaadeOnGrFID6eyFHLluJVGQ7jxlG+wK5dRHq8hU5HEvvNm5QLUKGCV5sLkpYtWyD77DOgcmWYN20C8ud3DecIhIj4S77TLeDogMtdyO3vGY0IP3wYRRYvRtCtW0ivXh3x3bohq1IlB7LiTFK4CzZXMs1/jU9ahJxyAUdX3H9lOCgt7SlJsVjI3G34cPKGeZZgWTrm4MH0O1q5kpLDcwOrldxp164lFfPdd118eITCjw6tI7KyENG6NZi0NDzZsQM62zlxXirA0zAOt9RoNNBqtShw5w5aTJmCM++9h4Nvvw2ACIreVtXHjWlunFutVhRPScHXmzZhe5062F+9uj2EExwcjBCbAV5YWBgazZ+PEmfPunxkTe3auLdoEQJt6pG/vz/8bATTmazwbQGExvS/Yjy/5JDCQBJ8wwcfCN/8jUb3SbgAULgweajExpL7rRhER1NZ8Zo13uWuADTLbdaMZqDx8d5tC9BNYMcOKqVu0oQqjXKLDz+E9cABIC4OigYNyIb+WYJhoG7UCJdjY/H3+PFQpaaiSv/+qPzll8h35AjdaCWIx507wMCBNC5nzSKH53v3SFF81kTFZAIGDCDX5uHDgfXrc09UWJbCV2vWEPFx50idA0JGjYLixg2kLFgAqxcKqFKvR8MlS/CkWDGcadpU1DYyqxWfHT6Mh5GROOih83OBW7cEiQork+HR8OH/DpPB/wgkZUWC77h6lTqwCuVfHDlCvYOEYLVSZ+VHjyi0I/Zi27EjKTqXL3vnyJmWRqWjUVHkb2GbgXmFpCSqttDpKDegWDHRmwol3QIAGxcHWbt2wO3bsCxYAPaTTzyGgYT6BnEzTm7JlSIDsM9K+c0RjUYjYLWi0OnTKLFlC/Jdvw5toUKIb9MGSR98AEtQkH1Wyc1U/fz8HJ4DjqqLc2iIn4jorjmi8/OXHixLY2fWLAq5REYSSfnqK+Fy/meBR4+om/mpU9QWQkyD0JzAsnYfJHbpUqBbN7cOx56acspjYxEyZAjSpk+Hum1bAE/Hn06nsyspzmGg7Oxs1FiwAKUvXMCvgwcjIyrKrsJwpfP843G/hbfPnkWLw4cxv0sXJNtM77gQTlBQECkrVitaTZqESIEJRmr79kizGVVy2/n5+dnHNTeGubHtaSy/UuP4FYakrEjwHRUrur9g9utHKosQZDJq4JaQQEZuYjFvHtmud+ninRoQGUn+KVeu0Hn5ws8LFKBkSZmMFBZvyqndISYGlqNHwbZpA0WXLpANGUIz52cNmQyP69TBySlTcGzGDKjLlMHrixahQYcOeGPaNIReuZK7ku1/E5KSqCKsYkWgYUPKnVqw4OnYfV5E5cgR4K23qMv4kSN5Q1QACpPOnAl2zhzvmofyID9/HsHffANNp07ItjU4FIvi587hjZMnceyjj5AhUpWKUKvR7PhxnKxWDQ+KFHG7XtnDhwWJiiUoCE/69/fqPCW8eEjKioTcITmZnDhtJYYOmDiRmhK6w/ff0wX/wgVKEhSDQ4eoHPTHH9076rrDypVEdCZN8s00DqAQQIMGVA69dy/gwdeBg7ufmL0UlGWBX36hBog1a8K8ahWshQvbZ63OyopdIQFcVBR+MiO35N7jqy7OnWqD1WqUOX4cMQcOICgpCZqiRfHkgw+Q1LAhUKqUffbJLflKi1AeC+AY5xeajb60M1KdjkwOV6wAtm0jgtq2LdCjB4VIxJTd5xVYltScESNo3K1dm/tEWtjG5OTJYEaPBsv7LQn1juKrfQ6dwAFY795FWLNmMBcvjoerVwN+fg6KCkD5Kc45KxqNBgHp6WjxzTd4UKoUdnTrBr1tbPLzr6xOqi0D4LM1a1AgJQVLBg2C0Wa7DzgqK/kMBjT56isobUoOH8lDhyK9Vy/7GOaWnOkiINxZ+V+df/UKQFJWJOQO+fO7L2X+4Qcq4XSHr7+mUsvu3cUrCo0aUaz+229JDvcGnTtTDsuoUWRQ5wtKlSIvi9RUmmnfv+/bfvhgGLD9+sGyfz+Ye/egrF4dsi1bcr9fL6DLlw83/vc/7Jo7FycnTEBGqVKIWbkSdTp3RqVu3VAgNhaqvPisLyu0WmDjRqr+yp+fyElcHCXQPnpEJKFp0+dLVJ48oaTyoUPpsXdvnhAVsCzw3XdEVMaO9Z70c1CrEfLJJ2CDgpC+fLlX1U+MxYK6CxbAolBgf4cOonNH3rx8GWXu3MGfLVrA6OF4lZcuFSQqhqJFoe7aVfR5Snh5ICkrEnIPk4kM34QaADZuTDd3dxejM2fIJ2LUKCI3YmA0EmlJSCBVxhspnmWJtGzcSOflbYdmDnfuPE1E3L+fSEyOhxYwjHPOD0hJgbxvX8i2bIG5SxcYp02D2Tbz42acnE0+ABcVRavVulRccHkCer3ePuvlZsb8aiDnmWaYQoGC588j+vRpRJ05A7nBAH1MDLLq1oWhUSPoataEf2Sk2woKfqUQ33yO/7fz8+cGliXztj17SEU5fJh8eapUAT76CGjfPvd9dXKDP/4grx+Goaq5PPICYa1WYMgQMD//DHbqVLBDhzq+n4Pxm/15djZCPv4Y8itXkLptG3TFizuoe8DTcSc0Jt9YuRKVd+/Glv79cceW/+Ws+vG7e8tkMoSlp6PXvHm49cYb2P3ZZ/ZxxykqgTbzupJXr6LWpEmCn//BkiWw2pJ4hSrchPKugP9QGf5LDImsSMgbnDkD1K4tnOsQG0vmbO4wfjzFzo8eJeIiBomJQNWqVEq8Z493vVYMBpolX79O6oyvDeXu3yfCotVSPssbb3hcXRRZ4cJCsbFQDB0KtlAh6BYtgqV69edOVoKDgwHYEhZlMoSfPo38Fy4g5MQJqB49glWlgrFaNVhq1oSpRg0wdeuCjYh4OcmK2Uxk+uRJehw+DDx4QGrA229TxdiHHz6b5oLeQKslx+RFi4BWrchJOa/yYiwWsL17g1m6FOy8eUDfvh7HpFuywrLw69sXqo0bkbZ2LUx168JoNIomK6+dPYsGs2bh9P/+hzNvv+0QpuQfj09W5AA6L1uGsIwMLBs4ENaQEEGyotDp0HLECASkprp8/PTmzZE8a5Z9fEtk5dWCRFYk5B0GDiT/B2dERpL3iruLrtlMN4zHj6k7rc0jIUccOkTJrsOGUQ6LN0hNBerUoZnrsWMk/fuCx4+J+Dx5Qv4U1arluIk7wzjA0WzLcuMG/L/4ArILF2Ds0weZw4YBwcEwGAyCNwSAbMk5ky2+pTm3LkdquNwD7oLLNYsDnl78Oa+KkJAQh+dgWUQmJyP42DGEXrqEgL/+gjw5mfZbpgzYSpVgKV8ezJtvUi5SdDRkHi7+HPLs4p+RAVy7RtVqV6/SmDp3jlpFKBSUqNqgAZXev/127kt/8wp79lCz0MePKU/liy/yrrTWaAT7+ecU/oyNBfvZZwBcx58QWeHnTpnNZvhPn47AyZORMW8esmydig0Ggwtx5sYm39xNfucOWv3wAxJefx27uneHnjeWueNwx+e3gGhw7Bga7NmDjf3742GpUlCpVC6KSmBgICosXoyS27a5fHxLWBjidu6EsmhRO8kRMjr0xlJfIivPFxJZkZB3yMoi18sHD1zf69jRs6Hb3btUBv3RR+LN4gBg+nTKYdm0ifIMvMHt20D9+kCRIuT54o07Lh+pqSTTX7lCuQ2tWnlcXSxZMZvNgNkM+ezZ8P/xR1ijopA1dSoy69YVJCkAkJmZae+1wi25/ioajca+HZegy+/xw7/oA7D3V+E61wKwO4Ny5CUoKAiBAQFQ3L+P4EuXoDx/Hsp//oH8+nXIbMdnAwKA4sXBRkcDMTFgY2LAFCxIpeT58oHJnx+IiKCScj8/MEql403aaqXQn8FARCQ1lcrRU1MpwTs+3vHx+DFtJ5dTTlSlSuQ+XKcOqXEvCznhkJxMasqqVRTeXLQoTyz67eNMrQb+9z/g2DGwq1YB7dt7LE8WckwGiEwoFy5EyKhRyBg2DFkDBzokejuTFGfjN4Vej2bjxkFmteLX/v1h8veHwWBwKK0HHMekSqVCoQcP0HXhQpxt3Bjn2rQBAHv3ZYDGIAAUSkhA9QEDwAjc0lKmTYP2o48cDA75Zcnc8V4aJVCCCySyIiFvsW0bdWoVwsaNlAvgDsuXU/lkTuvxwbJEcPbsAc6e9T7P4MoVSpR94w3ahw+9UADQrP2zz8iD4+efyc3U7Sl7QVZANwlZXBz8Bw2C6sgRaD/8EA+HDYMlKurlICu29R3kdZaFKjkZyhs3wNy6BVlCAph798DYCAXjrocUQERFpaJkVqPRc5m6UkmeN9HRTx+lSxNBKVfON0+d5wWWpQq1IUN58is6AAAgAElEQVTo+YwZQNeueaamsCxLScItWwJPnoDdtMnufeQLWZH9+iuCv/oK2X37Iu2bbwCGEU9WNBo0mD8fr/31FzaOHIkHtvGTE1kJAtB93jyY/P3x25dfQmn7fTqTFbnBgIZDhiBIIAlcW6sWUtauBRhGIiuvMCSyIiHv8dFHRDicERlJeQNFiwpvxxGPAwdovddeE3e8rCyaOVutlI8gpucQH2fOUO5JrVrUB8jXG5zFQpUVM2eSFfq0aTS7dwNPZaJ8ssJdxA16Pfw3bEDI2LGAyYTkXr0Q36YNWJXKTkjUajXUajUAID09HYAjaeFuIFx+gBBZ4VuVA9Rfhete60xaQkNDXcgKn7S4ywGQmc1gOHUkJQVITwfDqScGAz23WimnRKUiUqJSkfoVGUml4/nyUcjweVbo5BXOnKExcuIE0KkTjZk8yk2xX9JPn6Y8nNBQsNu2geWpNULtHbilUJsH1ebNCOrVC9qOHaGeNAkm29jkl867IytarRalN2xAjc2bsbNrV9x66y0H0uxcDs2NFZVKhZY7d6Li+fNYO2IE1AULOhDqIB5xKTd7NooJhH9YlQqJu3ZB/vrr9n06j0l+mbJz+IfDS11q/x+BF1mJEiSIxOzZVGbpPHtOSyPlZNcu4RsMw5BZXJUq5NR56BDdoHJCSAgpOnXqUChozx7vmsjVrEkk5f336bi//043R28hl9PsuGRJcjaNiyOvDrE5ODmBYaD/+GNk1K+P4BkzUHD2bISvX4/4L79E5ltvvVrW4SoVtV4oXPjpa/zzf5U+ize4f588flavpn5X+/b5bG/vEb//TlVvVauC3byZQm4+zkuVu3YhqE8fGNq1g3riRK+/m+InTqDG5s240LIlbnmwxndGxUuX8NapU9jdti3UHkq2850+LUhUAEA9YADMJUrA/ZRBwqsC+bhx48a96JOQ8C9DSAipIps3u7539y7lJ9SuLbxtYCCVE0+cSOTG1hE1R0RGUv7JpElUVty2rXcX1ZgYKr8eP56Sgdu08aiKeETNmpRoO3069W55913RPWOEOtw6W5sb5HKk1qyJjKZNobpyBcV+/RXhFy8io3BhpAYEICsrC2az2b7MzMyEyWRCVlYWMjMzYTAYkJ2dbTeJ46R4lmVhMBjA2OR9mUwGo9EIhUIBhUIBk8kElUoFi8UCpVIJi8Vif89qtUKhUIBlWchkMvuSe84wjEN1B+C+quJfKblnZNDY7NiRcrpmzSInXBEl72JgV1PMZmDUKDCDBgHt2oH9/XewNrLMKXnc2OIvLRaL3U6fq/oxm82QHziAkK5dYWjSBCk//wyjxQKLxQKj0QiLxQKDwWD/m3uu1+vty/Br11Bv5kzcql4dx/73PxiMRlitVhgMBvvxnFUepVKJQsnJ+GTtWvxTtSpOtWgB/4AAyOVyBAQE2FXAwMBABGo0qDZ6NOS2JF0+9G++iaxZsyC3hX7kcjmUSqXdrFChUNjHKNd0k1NQnM0L/zXj8BXGK6ifSngl0KkT4M56++uvPTfvq1WL8j7mzPGuy3LdusCvv1Ki4vffe3e+ACkr69YRyfroI/Ld8BUtW1IODcMQedm0yfd9uYGhZElcnzYN16ZNgzIrC/WHD0fjadNQwJeGjRKeDTIzyaW5RAlg6lSqmLt1iyp9fCXD7pCURGN4+nTyUFmzJlc5O6pduxDaqROM9epBPX++d/YAAIIePULdqVORXLIkDnXqJHry4KfXo8P69UjPlw/7//c/99uxLCrMnAmVLdzJhzUgAMkzZ/qmkEp4KSHlrEh4dkhPJ6lbqDqoUiWK27u7mLIsebNs2ECxd7F2/AAweTKZzP36K9nre4udOynBt0EDYMsWUnt8hUZDDr0bNlA36gkT7Bf9nHJWnBMP+eXKXD4Al4+iTktDkePHUXr1aoQ/eoQ75cvjz1q18LBQIXvuilqttq9vdOrbxM9Z4fJSuDyVyMhI5MuXz/4coDwWbl3Oj8U5d8XPz89jfoBzEiMHTzPZV2aGm5VF4dAZMyj5ulcvIukeetl4A5fL9unTRLCNRiIpjRt7TJ51XvLVO4vFAr/NmxHavz/0zZohadYswM/Poc2D85Lv4aPT6aDMzET9ESMAhsHWkSOhtn3Hzi0gzGaz/fwYhgHDsui4cSOi793DyoEDYbDlrfE9f7hl6X37UHbWLMH/T/qUKdB27OhSpsxPohXjpcLhlRl3/2JIZEXCs8XBgxQGERpmgwaRHO4O2dmklmi15JNhu4nmCJalmeuKFZQf8847vp13q1ZU6rp9OzVQ9BUsSwmUI0eSr8fKlUDRoqITbPk3BIAu+JyHCj+xFgDSU1IQtW8f6uzZg4iUFNyKicGfb7yB68WKQZ2RYV9f76QayeVy+42AS57lkxWOpPBf49blEnI5ssL5X/jakVmsp8VLeQNJTATmzqXcK632KUlxl1TuBmIvy6zVCsybB2bYMKB6dVjXrgVrI0RCY8u535RziNFsNkO1ahUiR46E5sMPkfTjjzDZthfqSSXU7duUmYm3J05ESGIidn73HZJCQlwM45wN4AAaE/WOHkWT/fuxoUsXPKxa1aU8mSMt+VNSULNfP8ht++Ej+733kPXrr/bqH8DRVdk5iVbyUnk1IIWBJDxbNG5MfU2E8NNPwlVDHAIDKVEwOZkUEqemZm7BMMD8+USSWremCiFfznvvXqpKatKE8md8BcPQ/2DfPuDmTVKJPH3uXICVyXCjWjUsHzECa1u3RoBej6/+/BNjNmxA47t3ofSmW7UE8bhwgUrXY2KAX36hRPI7dyiU6SVREY3Hj8G0aAHZwIFA795gDxzI9bECly5FvhEjoOnUCUlTp3od+mFMJtSZORMRcXE4MHAgsryocCpx5w7eOXAAxxs3xh0PbtDy7GxU/v57QaJijopC+pQp/94E7f8wJGVFwrOHwUB5KJcuub4XHEzhIE9W9du3E+n45htKvBWL7GyK4V++TJVFVap4fer46y9yOi1QgMJD0dHe74OPtDSabf/+O9jPPwf7009ASIio0mW+suISBuKVK6fZiFVqairAsoi4dg3vXLyISnFxyFSpcKBYMWwvUAD3g4Lsx5XL5fZZLKescKGeiIgIu5LiHAYKDQ11kej5pcvulBWhjszezHA9zXif22w4O5vI9OLF1CoiJoZyUrp3F6XEiVZPhNbbuhVMr16AXA7r4sVA8+b2dd3Z5VtsybGAo5ICACajEaGzZiF01iykdeuG5BEjYHQKQ/LbPHCKCj9UadLpUOvnn1Hk3DkcHDoU8bZSaf529jJ8HtGQyWSITE5G14UL8fi11/BHnz5gZTIEBAQ4hH0AICgwEJUnTkSho0cF/1dPYmPBvv++oDst4Dju3Cl7zs8lvByQlBUJzx5+fpQoK5SfotEA7dpRjN8dWrak5MRJk7xztw0MJKJTtiwRjr//9v7c33qLbkQ6HVUwnTvn/T74iIyk/JVly4ANG8BUq+Z992hvwDC4U6QIFjdvjuGtWuFw0aJokpCAZSdPYtbZs3jv4UP4S2qLeLAsJU736UNl1126UKLshg2UODtoUO5ChjlBowHTuzdk7doBderA+tdfdqLiMwwGRAweTERl6FAk23JNvILViuoLFqDomTM4OmAAHlesKHrTQK0WHVasgDYkBFs7dgTrwTcnetMmt0Qls3Nn6Bo18u68JbwykJQVCc8Py5YBPXoIv/fRR1SJ4yHzH/36UWO3P/+k0IxYpKaSjXlaGhGPkiW9PnUkJZG6I9JSXwzYW7fIC+PsWbBffgn2hx9gtakbVqvVPgs1Oxlw8XNWuCWnsPCVFeelWq1GVlYWFBYL3rx3D+/dv48qKSnQy+U4XbAgzsTE4FLBgvDnJc8CpKxwuSqcosItQ0JCXBJs+V2YnWe4fGWF30QR8K5pXF7Mgr3a7p9/iJCsW0f9hl57jRLAu3XzOJ5yurx6et/lvT17IOvfH3jyBNYZM8D26GH/vQiVvAs1InRW6yzJyYjq3Rt+58/jyZQpSGna1CV5lq+mOCskZrMZYFm8uWQJyuzbh2N9+uB2jRou69iPxzOaAwCF2YwOixYhLCUFG4YORVa+fA4NCvkmcBFXrqDWqFFgBMi1oWJFJG/eDPj7w9/f32W8ScZvrz4kZUXC80P37pT4KoQNGzwn2zIMxf+bNKFKnWvXxB83Xz7KPwkKou2FqpNyQoEC5Kz7/vvkwTJnjvf7cEbp0mCPHAH7449gFi+GrHJlMH/+mfv95gCzXI5jRYpgTK1a6N6wIX4vUQIlsrIw8sQJLNm2DV8cPowq8fFQ2m4w/0mwLHXl/uEHyjF6/XVgyhR6/uefwL175MnjC/H1FsnJYLp2hbx5cyA6Gtbz58H27JnrvAx5fDwKtmsH5Y0bSFyxAhpfCDjLotKaNSi7dy9Ode+Oe3XqiN/WasUH69Yhf2IitvbogSxbxZkQ/FJT8daPPwoSFUt4OJ7Mm/dyt1aQkGtIyoqE5wu9nszbzp93fU8uB/bvp1497pCZSSXFGRkUPilUSPyxExJoW4WCjhMT4/Xpw2olS/0ZM8ildsYMr5MQOTj0CLpzB0yfPmD274e1QweYpk2DxXbx5ucMAJS7wtmVC1UFOdvt8233uR5CXP4LN+tmGAYl9HrUiI9HrYQEFE1Lg0kux71ixZBQvjySq1ZFeuHCCOPlqgBUneGcq8JXVrgZrZCy4q7DLb+sOaclH7nOY1GriZDu3g3s3Qvm3j0yVGvdmhoBNmuWqxui0KXW+TWHv1kWzMqVkA0fDgCwTJ0KtnNnsALr85ecasG9xs9P4cYSc/IkCvTuDUtwMB4sXAiNzUmYb5vPqSj8pUOuCsvirXXrUHnXLpzs0AFXbFV3ziZvFotF8Dzrbt+O6vv3Y3evXrhXpYp9jDgrK4zJhDqjRiFMYILCMgxSVqyAvmFDhzJlofEGiBtbEl5OSGRFwvNHfDyVBAtV2OTPT54RJUq43/7+fcofKVqUSoy9aT4YH09VQgYDVed42/iQw/z5RFbq1aPQgAc7cE9wuIizLNgVK+jmZLXC9O23sPTsCbPtIirUNI7fLA5wbGTIkRbu76ysLPt6zmQFcLxJRKWmonJiIkrdvo2Y+HgoTCZoIiKQXLkyUsuWRXaVKtAUL46gkBDBnkAASe/uEmz5fhccSeE3kXNuKOfpxuJz8m1qKnDqFJhTpygB+/RpMBYLWC7HqVkzUuK8aN3gLSFx+97ly1AMGwbZ4cOwfPIJTFOm2HsHCW3PJwjuypKNRiNMRiNCVq5EvokToatcGXemTYMlIsKhrw9HhIXKjbkxaDYa0WjjRlQ+fhyH2rbFxbff9vhdOSezvnHiBBqtWoXTH32Ef1q2BPCU0HLjKCAgAP5+fig7cyaKbN/u+s8GoB46FPphwwA4jju3PakEyAoHiay83JDIioQXgz17KKQiNPxef50avNnyJATx11+kktSvT52OvekF9OgR3YRSUig8VLmy9+cPUP7Lxx9Tn6ONG6k3kZcQ9FlJTgYzejRky5eDLVsW+okTYXnvvedKVoCnnhbhfn4o8+gRXrt6FUXu3EF4fDxkVitMQUHIqlAB2ZUrI7t0aVjKl4fxtdegst1sXiqyolYD166BuXoVzJkzwMmTYG7epP99gQJAvXpg33uPSEpMjM83rlyTlcePIR83jr77UqVgnjkTVqf8LF/JiikjA2EjRiB4yxakde6MpGHDoLet6w1ZYSwWNFq5Eq+fO4d9HTrgeu3aDq0UciIrJS5exHtLluDv+vVxqnNnKJ26IPPJSpktW1Bq4UKX/ykA6N59F8lLltjHm0RW/t2QyIqEF4cJE4DvvhN+r3FjMnTz1MjwwAGqhGjenHrweBOOSUmhG9O9eyT725ICvcajR5QcfOYM+cb07etVLoGQPA7QzYf96y8ohg+H7MgRmJs2RfYPP8D6+uswGo0ObraAI2nhQj1caIj7W6PR2NcTIivOMjy/qy2/hFSu06HwgwcIv34dkf/8g9C//4bSRogs/v4wlC4NfZkyMEVHw1q8OMxFi4KNiYElKgpynjmXs0TPv7Fwzzm4Iy8OzzUaMAkJ9gfi4sBcu0YPW54SK5cDlSqBrV0bqFuXliVK5Pid5XQjc3cZ5ZcSO6/rYAqo00Exdy4U06YBCgVMo0bB2KOHoF280D75ZMU5idVkMkEeF4fIXr2gjI/Ho++/R5KNAHHjgT+OnF/jkxWTVou2Gzag7I0b2NKuHa7ZnKW5XjvA0++KT1S592Ju3EDTuXORUK0ajvTuDblK5aLIcX+/duoUyo8dK/h/NRUvjtTdu8GGhbkYv8nlcpdz4ZfHSyTl1YREViS8OFit1HDwjz+E3+/aFYiN9Xwj2bGDEl4/+YTs9T2UPbpArSaic/Uq7adBA+/On4PJBAwbRvbqnTtTiEhkaMoTWbFarQDLwrp5M/y+/RZMfDyMn32GrAEDkJ0/P4AXQ1a41wC6sfipVFCmpSE0Ph4Bt28j8O5d+N++DdWDB1DwOm9b/fxgKVgQ1shIsLaHNTKSyrn9/cH4+4NVqcD4+0Pm70/fpdEIGI2Qmc2AyQRGrwejVoNJTwfS0sCkpgLp6WAePgTDCyuyCgUQHQ22fHmgQgWwtgfKlrWrcN7cpJ4ZWTGZIFu7FooJE8AkJsLSqxdMo0aBjYhw+G5y2qcnsiLfuRORgwbBEhGB+z//DEPZsvbv3xuyYtFo0Gr5csTcvYuNH3+Mm6+/bj++GLJS+OZNtJg7F4nly+PQl1+Ctb0uRFbC/v4b1UeMgNypLQRAfX8e//47GJtvkkRW/huQyIqEFwuNhkjCxYvC748fD3z7red9rF8PfPopVRrNn+9dlYRGA3z4IYWdVq6kREpfsWYNnUPRouQrI0KtcXcj4/dxsVgsgMEAZv58qGbOBJORgexPP4VmwABk25JwuRuMUFkz955Wq3VJnuQnY3IXeI6s8MNCznkpnozf+GWiSp0OysREBCQlQfngAVTJyZCp1VBkZECRng6ZWg2ZWg3GYABjNNLnFAqlKJWkMvj5gQ0PBxsZCURE0DIyEmzBgmCjo8EWLw42OhpMkSIOjQK9Tb7NbRhIKFTjELIxmyFbtw6qKVMgu3MHppYtYfj+e1hLl7av647IeiJAXCdjALBqtQibNAkhy5dD++67eDBpErS274YjIs6J2llZWXZyy72n0+kQqNXiozVrUOTJE8S2aYMbtp49/LAeRxqcFRI/Pz+89vAhWsyahZRSpbB/0CAobCFGPz8/l/XD0tLwZu/eUNnCmA6fk2GQtGABLC1bClrpc+ckVA7PLaWE2lcTElmR8OKRmEgOt4mJwu+vXg107Oh5H7GxVBo9dCgwbZp3hEWvp21/+43M54YN870s9OZN6jh98SIwbhz1hfHQXVc0WYEt90CrhWz+fATMmQNGq0VWhw5Q9+2LTFt/npeNrDjPsvk3NyFXW7As5CwLucUCWK2QBQQASiUYN263/NfyJOlWxPqekCNZsVjArF0L5ZQpkN26BXPz5jCOGgWLLW9KMETkA1lRXL2KiP79Ib9/H6kjRyKzc2cYTSaH3BT+0hNZCbh/H51Wr4bSYEBsmzZIKFz4qWojgqwUSUlBuzlzoC5cGPuHD4fZ39++jjNZUWRloebgwQh00zk8dcwYZHXrBpVKJZGV/xgksiLh5cClS5Qsa7toOkClovyVxo0972PuXGDAAGDMGCIK3lyMrFbabuJEoHdv2pePJckwmYDvv6fuz3XrkmKTQ5m00A3JXaKkxWKBKS0NAUuWIGDePDA6HbJat0ZGt27IKF7c5UbEv0Fxz51NuliWdTHQ4t98VE5JkEL5CEIlyM75KPwbi/NNRsgSXUjG5/4Wc9MRMv4Seu7ptZyOAbgP59m/R60WilWroPrlF8ju3oXpgw+gHzECJieSwjdy8xQidHt8sxnBCxciYuZMGEqXxpPp06G1jT1+ybsQSQEcE7Szs7MRc/8+Om3ciKzAQMx9/308dEpk58aBSqWyJ2Zzy8DAQORLSkLHxYuRHRGBP4cNg9ymBAoSYZZFhWHDEOZGZc38/HNobO02+GXxnppkSpb6/x5IZEXCy4Ndu8haX8j+PSiIKndyqriZMoXUjBEjgB9/9F4hWbaMyEqTJhResikWPuHoUcphSUsjE7kuXdyej9BMWai3C7e0u4OmpcF/5UoELFoExaNHyK5XD0mffQZNvXrQ29QTfoKkc28X/jGcHWU95QAI+VZw4BMEX8iKUKWQmBmy0I3IV+dbZ5LjaX3+d+fsMYIHD6BcuBCqX38Fk5kJY6tWyO7fH+YqVRxDNgKus8778qSsAIAiMRGFRo5EwLlzSO3WDY/79QOrUtm/a51OZx8LziSFIyh8slLu/Hl0PngQtwsUwNzGjZGOpySXA0dWAgMD7XlMXBVZqawsfBIbC31oKHaPHAlDaKhLzlNAQAACAgLAmEwoP3o0wo4fF/wf65s2RfqyZVDyKs08VfxIJOXfB8nBVsLLg/ffB+bNE35PqwU++IBKlj1h5Ehywp06FfjyS/Gdmjl0704OpSdOkNJz/7532/PRoAEpRh9+SNbs778P3L3r+/4EwIaEQNevHx4fP47UOXMgy8hATN++KN22LfL//jvkQkqVhGcLloXs9Gn49+yJ4MqV4bdsGYydOkF97hw0S5fC7EtDTU8wmxG+fDliWrSA8sEDxC9diqShQ8F6qqTL4fzfOXEC3ffvx7kyZTCjaVNke2MNAOC1xER0XLIEmWFh2DRgAAye+iWZzSjz/fduiYqhYkWof/nFYzhVwr8fkrIi4eXD8OHA9OnC70VFAUeOeO7SDFAPoV69SM1YssT7kM7Vq0CLFtRZd+1aMpLLDXbupLLm5GSycB80SPCchGbPQrNul665nMutwQDZiRMIW7oUgQcOgFUqoW7SBGlt2yKtQgV7J11+SInbp/MslD87dZ6pCp2z0GdwV56sVCpdFBV+Xou7nAMx/YNyUljcqS3ebsf/vCzLgklKgvK336BavRrymzdhiY6GrmdPZH/yCdiQEPt3JNQF2XnJV1bcKSwAEHDjBopPmIDAGzeQ/PHHeNivH8w21YJfugw4hoG4PCauYoxTU3RPnqD15s14Ky4Ov7/5JrZWqoRsXp4TN264/wW/cizEpkJWUavx+e+/I6lwYazt3BkBhQo5OB5z6wNAUEAA3pg6Ffl27BD831qKFEHK9u2QFysGQLz65i78J6kqry58DMpLkPAMMWUK8PgxsGqV63spKUQcjh4FSpVyv4+ePanrcpcuRDhWrfLs2eKMihWpJcCnn5Ify6RJFFry9WLXvDn1M/ruO1J/1qwBFi8GqlXzbX/uwDDQ16gBfY0asNy/j7AtWxD2+++I3L4d+mLF8Lh5cyQ3bQqzhz4sEryA0QjF3r1QrlwJxe7d5JHSsiW0kyfD/PbbsLAsWG/VPRFgdDoUWbQIBVavhj4mBv/ExiLb5nnitZpoQ74nT9B6+XIEazRY8P77OGErj/cGFRIS0H3PHtwrWhSbunSBSaVCgLuVWRalZs1yT1QiIpC2ejWshQpB0lQkSMqKhJcTZjO5w27eLPx+dDRw7Bh1v/WELVuADh2Apk2pWWKA20unMCwWIhiTJ5MnzPLlgCdJWwzOnqUS5ytXgP79gbFjqdkiRJS8wrE81Tn5lt//xa626PUIOHsWwevXI3TPHsgMBmgrVkR6kyZIbdwYxsKFHRI6PYFbh5+Y667LL9/V1FPOilClUE45K/znYnq8eLN9Tq/BYIDy0CGo/vgDqj//hCwzE6ZKlaDv2BG6Nm3ARkQ4fD/OCgf/u3JWyPjfp6CywrLId+wYyixYAFVKCuK7dsX9Dh3s5nEMw7iMF+64fOdj555SRY8fx4dbtyI1NBQ/N2yIpLAw+zo6AWWF+3645Njg4GA0TElBzwMH8E/JkljTujWCo6IAUIduroM3p74EBwWh1KJFKL5unct3BQDWkBCkbdxIbTngOQnb23wmCa8mJLIi4eWFwUCGb7t2Cb9ftiy52BYt6nk/e/bQfqpVI/Lii6qwdSupNIUKAZs2ARUqeL8PPkwmcrwdP57CQWPHAv36kZmZDXlGVnjN56xqNUIPH0bo7t0IPXkSMqMRmgoVkPrOO0ivWxf66GiP6tF/lqxoNFAdPQq/bdug3LULsqwsmMuUgbF1axhat4bZFpYUSobOK7ISdOsWSv/yCyIuXkRq9eq4OWAADMWLu5yvN2RFk56O+tu2oerhw7hcqRLWNGyIJKcWDmLISpvHj9Ht/HmcK1kSm9u0gVUuR7it6aULWWFZVNq4ETErV7p8TwCZviWtWgXUrSuqYkwiK/8NSGRFwsuN7GxKrD1yRPj9EiWog7KnxocAcPIkdc+NiKD8EZv5lle4eRNo144s+ufMoaTZ3F4EnzyhkuklS4AyZShXp0ULwc66nvq/8JfON0D+kn8zlGk0CDxwAKG7dyPo6FHIjEYYCxdGVt269KhRA9bQUMH8Cf5+nAkTfx1nsiLksyJEVpy3c77p5NSLhoOY1wRvciwL5dWr8D9yBP6HD0N1/jwYkwmmcuWga9kS+hYtYLY1weSrUtxn90Qe+STSmcDw/+b2pUpNRfk1axB98CCyihTB5S5d8KRqVYCXm+FM7vjgvh9+mwatVovg1FQ0WrIEhRMS8GfTpjhdvToyeNVAzk62fHLFfXdBAQHocv062t6+jYOVKmFj3bqI4Ckq3JJ7HhoSgrKLFiFm0yaX8wQAVqVC2sqVMDZokGP3ZHcVP/zvkYNEVl59SGRFwsuPrCwqJT5zRvj9okWpgzLP/lsQd+5Q7khqKikl9ep5fy5aLVUZLV8OtG8PLFzom1LjjMuXgSFDiHg1aQJMnQrWVjUiZK3uLvnWYrF4JDLczdBFIdFq4XfqFAKPHEHg0aNQxcWBlcuhq1wZ2rfegubNN5H95psw2GR8/kFES8YAACAASURBVI3XEzlynv3ybzrumhzyZ83uZsZ8ssJBTOkyHw7HMJngf+sWAi9eRMCFCwg8dQqKtDRYg4KQXbs2dPXrQ/f22zDz/HI8eeLw/z/8BpSAY/ds7jlf/eKWTHY2Ku3fjyq7dsGiUOBsixa43qABrLz/j5DiwD3nPjufQBmNRoBl8dqRI2i0YQP0/v74o0MH/B0ZCYBKmbnQEEdSuPPmEyiFQgGVxYIRV66gZmIi1taqhXN16wJ4SlIibI1I7WTFakW1pUtRZNs2we+DVSiQtngxWFsXZm8bEkplyv9uSGRFwquBtDQyhbt8Wfj9/PnJh+XNN3PeT9u2wOnT1EuoQwffzmfjRqo2Cgig/Th1xvUJLAts20bVUDdvgm3bFhg7FiyXOGnDsyArzuqJ4sEDBB49isCTJxFw4QKUyckAAH10NLSVKyOjQgVkly6NzGLFYLQlLr8yZMVqhfLhQ+pjdOkSAi5dQsCVK5Dp9WCVSujLl4euTh1k168PXZUqgEol6CfzrMiKwmBAqb17UXnXLqiys3G1USOc/+ADGGxVPvz/p7dkBenpqLt6NUqdOYMb1avjzxYtYPD3d+gjJYasRFks+PbcOcRkZeHn2rXxT9myDkoK4EhWIkJCUOXnn//f3pnHR1Wee/x7Zs2+QhJDIEDYdxREQBAVQSzWul7bqnW5t/t2b2tvN7m1i9fbVqzVtm5Xi9Zrq9C6XheuCrIFWUSEQEAwCQkhQLYh26zn/vHOGU4mZyaTBQ3wfD+ffE6SOZk5M8HM1/d9nt9D0Zo1XX8fgG6z0fjQQ3RcdVWvpyeLrJzZiKwIpw91dUoKdu2yvj0rS9W3zJoV/368XtUt9Je/qC6fH/6wd9s51dVqK+itt+Bf/1XdV3gPv08EAmrEwM9/DgcPol93HSxbpgbxhbHaGjK+jrVlYxXhbxVC1kVyAgGoqiJlxw7c27apN/h9+9DCt7cXFtI6ciQtxcW0jBhBS34+7fn5tKekRF7XaGnpbupydwFs5hRXq3M1TUPz+XDV1eE+fJiUjz8m+eBBUg4cIPngQezhOgzfoEG0Tp5My5QptE6ZQseECehut+UbYPQWi1lWorfCjDd4v98f2XqxOhrneb1eHD4fE959l/PXrCGprY0d06ezfv58msL1HsbjaZoWea2iI+7N4w+i3+DzysqY//jjOL1e3r7+evafe26kHsVqEKZxnYZIGSI8xOPhrtJSnMEgv1+4kIpBg0hPT4/UpRhHQ1pyUlOZ+4c/kB8jR0W32Wi87z4C4ZEaZlnpTXty9OfCmYHIinB6UV+vwtW2brW+PS1NrU4sWBD/fnRdRfL//OcqZfbhh1Wrc08JhVSh7I9+BGPHqu2hcAdDn/H74emn0X/xC6ishOuuQ//JT2Dy5E9WVkx1MJGaihMnSP74Y1zl5bj37SP14EFSDh7EbZp8HEhKUtKSl0d7fj6+7GwCmZn40tMJZWcTDH+tp6WhO51objc4HNayoutogYCawNzRgd0Yhujx4PR41LGxUclJbS3uI0dw1tdHhiIG3W46RoygraSE9pEjaS8pob2kBH9eXqe5Q/HqIE6VrDi8XkavWcOMt94iqbWVXTNmsH7ePOrDXWfRhdY9lRWn38/0F15g4htvUDt6NO/cdhv14X/rPZWVaYcP892tW2lMTubeefMi079jyYrd62XJ449TECNCX3c4aHjwQdpNgwlFVgQrRFaE0w+PRwW2rV9vfXtSklo1ufba7u/rmWdUG/GYMbBqVfzslnjs3KmkZ/dutcrys5+pEQH9gc8HK1ag/+pXaJWV6AsXon/3u7B4Mbqp4BSst4jiiUwismIurLTqMOq0heHx4KyuJunIEVy1tSTX1UU+XM3NOD0ebFbjFMLoNhshpxPd6UTXNGyBAJrfjy38+LEIpKTgz8ykIy+Pjvz8kx8FBbSHP49OQI0nJNFvdna73bLI13jtord/vKZRB9HDA42v7bW1THn3Xc7btg2X18v2yZN547zzaMjKwufzdeq4MmOz2SLbI0Y3jjGPJykpKfI9p9PJ0L17WfC3v5Ha1MTWz36WHZdeCjZbl+s0rqm9vT0iLubfq6brfGbbNj77wQfsLCriyUsvpd3l6hSxb7QlG7IyWNOYv3w5g/fts/ydhVwujj/8MPoVV0Su13xMJBzQ/L1YXwtnBiIrwulJa6uqPVm92vp2TVOR+9/7XvdbPDt3qi6f+nolOZ/5TO+uye+H++5TQwwLCtRqzeLFvbsvC3SfT9XK3H8/2tat6OPHo3/72+g33YQefoP6tGXFON98BNObjKZhb2vDfeIESa2tanXE68Xm90c+tEAAW7gQVHc6CTmdhBwOdIeDoN1OyOXCl56OLz0df0YGgfR09PAbXE/4tGQlvbycae+8w6j338fvdLL93HNZN20aTZmZnepa+iIrSS0tXPzyy4zbsoWaMWNY98Uv4ikosGxnhviy4mpp4Z/XrGFidTUvTJ/OK1Om4AivfsSSlcy6Opb+6U+k19VZvvahlBSq//hH9AULOsmV+SiyIpgRWRFOX7xeVSD74ouxz0l0gnJTk8pRefll1Uq8bFnvZ5F89BF89auqluULX1CzivLyendfFuihEGzYoO43nBuj33EH+u23o48c2f0EYOKLTLSs+P3+Lm/G5sLQ6JZcs6yYty6ij4lE+MfbmgrGW6GJMQLA/Hki12R+c4y+zXyN0cJmSEBbWxttbW3Y/X7O2bKF8zZtYmhFBQ1ZWaydOpW1JSV4Xa5OWSbGMfp3ZL4W89RiMMXYp6Qwa/9+Fr3+Opqus/bKK9k/dy5oWqeW8OgWa/PjGts/fr+fwro6bvrHP0jy+fjLkiWUh7uhDKEwHt8ctz+ipoYFv/sd7hhzqYLp6dQ9+STec8/F7XZHnkt0wbV5are0JwsiK8Lpjd8PX/oSPPts7HMuvxz+9rfuk2dDIZVUe9ddKmL/mWd635as6/DUU6odGdQE6Ntv77dhbJH/bA8cgAcegKeeQvN40BcsQL/tNvRrromstljNG7LqJoruEDKvrMTKAzGvrFhlhUT/eYlXVxBPnKxmIcVaQbJ6nlbCZhBvBpI57yXeykqslYqU/fsZu349U3buJLmjg4NDhvDmhAl8MHw4zS0tnVY0zD/f0dER87VzOByR1QhDENLT0zmnqYlb33+fcYcO8cGECbx15ZW0paVF5vC43e4ub/7GY5h/Z8bvc8LmzVz+0ksczctj1Y030hzu7oGTYmFcR0pKCqmpqQzfsIFZjz6KPca2XTA7m5onn8QWHjPhdru7SIpZVuLVEEW/LsKZjciKcPoTDKrBgA89FPucKVPglVcgPBAtLm++qWYCpaYq4eiuWDcex47B97+v7mfKFFi+vO9DEbFYOWhthVWr0J58Em3tWvTMTPQbbyR0223o06eDpoms8MnIirO1laHr1jF240byqqpoSU3lg2nTWD96NMdycztF3feHrKR7vdx84AAX79tHQ3o6r15+OftKSiJbND2VFTweFr74IpO2b+f9GTN4/YorCEZts3WRleRkZq1ezZSVK4mFr7CQ2ieewF9SEvk5kRUhUURWhDOHBx5Qxa2x/kkXFqptk5kzu7+vqipVMLtunco9+cUvejYIMZr33lPXtnGjStL9zW9UUW8fsfrPV9+/H+3JJ2HFCrTaWvRRo9CvvZbQtdeiT50aERfzz8eTFctuINPXsWpVzLJieZ0xxMkqhdcqBTb6OuMVGZuFxjg/3tZCdKeJVfZLp9ersZHhH3xA8datDNu7F03XOTB2LO9NmsS2/HxCdnskGdbotvF4PF1SYs0ZLMZ1RmeqOJ1OkpOTcYRC3OzxcHNFBTZg5dixbDjvPNLCq4HRk45TUlI6ddqYn4vx+gwuL2f+44+T1NrKuhtuYN8FF3T63RnnG4Lhdrux+XzMffpphq9dSyzap06l9uGHcYZHY5i3fuKl1IqkCAYiK8KZxQsvqDqR8P+pdsHlgj/8QeWsdEcwqOLv77pLTWF+5hkIz4DpFboOzz2npi7X1Kgk3GXL1AiAXt9lbAkgEFDJvqtWob3wAlpDA3pJCaGrr1biMn16JNZfZKXnsuL0eBi2fTtD33uPwt270XSdwyNH8tG0aXw4diytGRmdWoH7TVYcDhZ7vXy7upoir5dXCwv5x7RpNLvdnaPteyArus/H9JdeYvKrr3J0xAjevv12msOptvFkJcfj4aIHHyS3ooJYNC9cyLH77kNPTu60omLcj8iKkAgiK8KZx9atsHSpCpGLxe23q22jRKYwb98OX/yimgn029/C17/euxA5g/Z2lc1yzz1qWu73vgff+lbfpzkTRwr8fnjnHVi5UolLfT16URH6ZZcRuuwyQpdcQijccmqV0xJLHsypuFZD+ay2aIxjtByZf874PFYcfUdHR8zi2+6yZmIV5na3DWQHBldVUVRWxtCyMvI//hh0ncOjRlE+aRIfTZ5MffhNODIosKUlkgjb1NQEnJx03NzcHJEVYxvInG0SXVjrdDi40O/n39vbmeXzsS4lhT+OHMnBlJRIWmxOTg45YckwvmeWFqMg1pAWu91O2uHDzH7oIbIqK9l13XWULV2KblFbZZY5h8NB/o4dnP/AA7jC8mXFsVtvpemHP8QdftzoYlqn02kpKcYxVhKxiMrZh8iKcGZSWalakHfvjn3OueeqbBXTvJeYtLXBD36gVmWuuAIefbT7ac/dceSIEpZHHlFhdt//vlptCRdN9oa4Ky2YxGXtWrTXXkN78020PXvQbTb0GTMIXXYZgUsuIXTuuYTC//d9NstKelMTQ8vLKS4vZ+jevSS1tuJNSqJm3DiqJkygYsoUWlJTI9dnyEZ/y8pcv58f+3zM8fv5wOnkobw83k1JISssJL2SlVCIMe+8w7RnnqE9J4fSb36ThpKSLjU95tdH0zQIhZj04otMeO65SOheNLrdzuEf/5jGG27o1PEjsiL0FpEV4cyluRmuu05thcQiJ0dt71x+eWL3+b//C3fcoXJe7r1XtShbTLrtEdXVqgvp8ceVqNx5J3zjG0pg+kAiWy8AHDqE/uab2N54A+3tt9GamtDdbiUss2YRmDkT/4wZ6Pn5nYQCOmewWElHtDQYxCuiNW8tRcuKuQDVarvKuJ9Yt5lFKPr1sQeDFNTWMqSykqJDhyisqiKjuRld0zhSVETluHFUjBlD3fDhhOz2yM+bO2iiZcXj8UTkpCGc7muWleigOPPz1TSNC0MhloVCXBQK8YHNxn8mJfFOairpYQExhCQ3XKeSk5PDoPDUY0NajJC2jIyMSNHtoGPHmP7wwwzas4fKxYvZ++UvE0xKQjPVM1kJgqu1lcm//jWDYw0VBYIpKdQsX44/PC/L5XJFVnKsimnjpdSKpAgGIivCmU0gAD/5iQqIi4WmwX/8B/z0p4m1Fjc2qnlCjz4Ks2fDY4+BaW5Przl0SK20/Pd/Q2amKsj9ylf6Z6oz1lkj5q91XYdAAH3bNrTSUrRNm7CVlqLV1AAQGjGCwPTphCZMwD9uHMHx4/EPGULQ9KYN1kMVrWpIorM+zLISS1LMx3i1MvEmQfv9flwdHQyuqyPv6FHyjh7lnNpaCg8fxhEM4nc4OFxYSHVREdXDhlFVXIw3La1LJ435eRrXGV2D4vF4IisqjY2Nke9BZ1kxZ5ug61waDHIncCmwQ9P4pd3Om0lJoGkkJydHVksMITFkZfDgwZ3EBU7O6MnMzCTD7WbMqlWM/fvfac/Lo/zf/o3GadM6deBEC4EhD2n79jHmpz8lKfzvwQpvSQnHH3kEf0lJ5D5dLleXTp94WSpWgW8iKYLIinB2sGoV3HYbxNlfZ+5cePppGDEisftct05NXj5wQBXN/uQn/TPIsLJSrdr8+c9KpL70JdWaPXZsn+42IVnBoii1qgqttBTb5s3Y3n8fe1kZWrhYVE9JwT92LIHx4/EXFxMoKsI/ZIg6ZmcTitMqfaplxeHzkXLsGOkNDaTV15PZ0EBubS2DjhwhK3z9IU2jPjeXuvx8DhUVUT10KEcKCiJbYOY30FMtK0m6zg0+H98KhZgIbAV+Bfyv0wma1ikIrjeyMvrIEeb8+c+kHjnCweuv58CNN+IIr97FlRVdZ8izzzL0scfijj04sWQJdffcgyP8eCIrQn8isiKcPZSXq1j9srLY56Snq8Lbm29OrIjW61VbOPfco2pfHnkELr64f6732DEV2f+HP6hi4aVLVcjcggW9LvBNJNnVKr+k05aNrqPX1GArK0P78ENse/bgKCvDVlGBzSSDuttNoKiI4JAhBHNyCGVnE8jKUsfMTPwZGYQyMwnY7ehOJ36bDd3pxKdpeHVdzbBpbcUWCOBvacEWCBBoa0MLBNCbmrA3NeFqacHp8USO7tZWUurrSTt+nBRTgmrIZuNEZibH8vKoGzyYuvx86gYNon7QIPzhN8t4fwrjtS6bt4GM7RxjG+jEiRORLqBoWWkJh8LlhULc0tLCP/v95ACv2Gzcr2mUOhygaV3SYlNSUmLKyqBBg7psA+U5ncxYtYpxa9fSOH48u7/9bQLjxgEna0gMeYh+ns7aWobddRdpsQaHoupTGn/0I9q+/OVIUq75Pq0mbBuPYZVfEy+lVjh7EVkRzi5aWlTb8t/+Fv+8G26AP/1J1bQkwp49apVl/Xo1QPHXv4aRI/t+vaCE6NlnVaDchx/C1KmqVubzn1fbRT2gX2QF662eYDCI1tyMVlmJvbpaHQ8dwlFTg9bQgK2xEXtjI7amJjVBuZ/wJSfjTUujIzUVb1oaLVlZNGdlcSInh8bMTHVMTka32zuJRaziXyv6XVZ0nfENDdzg8XC114sfeNrp5CFN46DNRjAYPDk1uZeyMigzkymbNjFn9WpsgQC7brqJo1dfDTZblxZiK1nJfu01iu65B3uM2HyAwODBHPnd7wjMmRNz9URkRegPRFaEsw9dh9//XnXfxHvTHDIEVqxIPHE2FIL/+R9Vz3LsGHznO2prqIdCEfe6335bhd+9+iq43aqA+I47YP78Hq229FRarLJQjHPiDUe03FrSdXSPB+rr0ZqbCbW3o/n9hDo60Hw+gh0dhNraIBTCb7MRcjjwaxohhwMv6v/k2x0OWpOS8Kel4YuqmTEX6FodDbGIzmeJ96fQKk3VLG7RBbbGdtCJEyciKymNjY3k+nxcfOgQVzU0MNzrpcpu5y9paaxwuWgOS4pxn+ZtFDiZFmuewxMtK7m5ueRkZ1Oybx+XvfEGWXV1fHzRRey84QZcxcWRNNvoFmazWDhaWsi7+24yXnkl5usB4J05k8ZHHiGUn99pO8e8xQPWAwmtimglS0WIh8iKcPZSWqryUw4ejH/ed74Dv/xl4t05bW0qj+W//ktF9v/852o1p7thij3h8GElUk88oQYnjhqlanK+9KWEWqo/VVmhcwtxIjUrVrUrsQYoDjRZaW1qYsbRo1x04AAXNDQQ0DTeysrir8nJvGuzoWtal2vqraxM0HWu2bCBkfv3UzNmDBuvu47g5MmA6gbqTlYyNm/mnGXLcB4+HPO10G02PN/4Bp7vfhd7+JpEVoRTjciKcHZz4oQqXn3iifjnFRfDH/+oMlYSpaZGraysWKEScH/zG1i8uG+BctHoOrz7ruogWrlSbRnNnw/XX6/qcwoKuvnx7tubrWbtWCXCJiI5VrJi1bocnatiJS2x5hWZt2Wib/N6vV1arWO1V5ufS7ypy+bZSZEZP62tjDp0iAl79jDt44/J9HrZn5HBG0VFvJaVRYvDQWtra0S+ojupzLISPWHZXGBrtC4PdblYXFrK7A8/xDNoEBuuuorG8Gqb0bqcZhpqGL0N5G5uJveee0iPN8EcCA4dSvNDDxGcPTvyukS/PlZiEm/Gj2SpCIkgsiIIAH//O/zLv0A4CyMmN96o0mfz8xO/723bVBvyunUwZw7cfbfaWurvP8bNzfD880pa3npLjQuYN0+Jy7XXwjnnxPzR7qTFSmC6u80sK1bSEktWzG/+0UerOHqrrqBYP2cWmVhx/VavR7z6CWOQoS0YpGDPHsbt2sWY3btJbW+nPiODLcOH896oUewNi4E5WyVaqsyPGy0r5gnHRoT+EKeTBe+9x9ydOwna7WxdsoTKK68k5HBEhMZYhUlNTY3krBj36XI6SVu1iuxf/Qp7uGspFt4bb6T93nshM7NL5445UM9KTGLJSvTnVl8LAoisCMJJDh+GW2+F1avjn5eVpbZ5br89ceHQdXjjDZXn8t57cOGF8LOfwSWX9L+0ANTXw4svKnFZvVqJy9y5amVo8WKYNq1TmJ3ISu9kJamlhaI9eygqK6OkrIzktjYacnLYNW4cu8aP56P0dFrCW0JG0W1/yEqB3c7inTu5ZM8eQjYbW+bMYfOcOSSdc06nEDiILSvOykoKfvYzkjdu7PK8zISysmi77z78V1/dRTZEVoRPCpEVQTATCqnW5R/8QG2pxOOii1RrcbgNNCF0HV57TUnL1q1qy+buu1U78qmisRFeekmtHr39tuqIysuDyy5T4rJoUaeVop7Us5hlJfocq20gA6sEW6tU3Fh1KT6fL27wW3Rcv1U9i9U2UKznYrzhaoEAeQcOULhrF4W7djGoshJN16kfMoTKyZPZO3kyx4cMoSP8b6e9vT0iJ0Ydi1HX0tHR0WVLyvx4VrKS2t7OFbt3M2/nTnRNY9vcuWyZNw9n+PeXkZERkROzpICSnKSkJPD5GPzUU2Q88AC2bv6NB+bPp+ORR9CHDOkkEVbykUhXj9SlCL1FZEUQrNi7V7Uir1sX/zyHQ0XjL1uWeJszKGl59VUlLdu3K2n53vdUlkpf4/vj4fPBxo1qleeNN+D999X3p01T1zB7Nvrs2TB0aGTF52yWFVtHB4MrK8k/cIC8Awco2LsXV0cHHWlp1EycyOGJE6meMIHmsBBEF9r2l6zktrRw+f79zCsrA01j08yZrJ85E1d4a88Qk7iykpxM7vr1DPr1r3FVVhIPPT2djrvvxn/bbWhRoW0gsiJ88oisCEIsQiFVeHvnndDNfj45OUo8vvY1NUk5UXQdXn5ZdQ5t3AijR6vuo1tvVZ1Ep5q6OrVNtHq1evyPPlLfLyxEnzMHLrhA1dlMnQrJyZadM7FkJd4WUTAYjNlhFAwGY3YKmaUj1jnxhiuaZaVL0W8wSPLRo+Tu2xf5yKqsxBYM4k9KomH0aI5NnEjdtGk0jhiBbkqyNa4luhC4o6MjUnQbKb41dTTFKu7VNA273U5xbS0X79jBpPJyvG43W2bM4P0FCyCcpWLUrhjH1NTUiJyYO3+S9u5lyPLlpJSW0h2Bq67C+5vfoIW7yuLlnvS0UFa2fITeIrIiCN1x5IjqGOouSA5UJP5vf6smPvf0D3FpKdx/vxoNkJGhVna++U0oKurddfeGo0dh0ybYtAl940bYsgWtowPdZlPt0ZMmwaRJhMJHSkrUbSZOB1lxeTykVVSQXlVFRkUFGVVVZFRV4QwLxYmCAupHj6Z+7FiOjx6Np7g4ssIQ/Tz7W1ZsoRBTDx7k4h07GF5by/HsbDbMnMmu887D73KRlJQU6QzqTlacx49T/PjjZL/wQswJyQahwkI6li8n9JnPqOuIs3piILIifFKIrAhCorz6Knz961BV1f25CxeqxNlwxkWPqKyEBx9UAxLb2lQ3z1e+0uPgt37B50PfsQM++ECl5+7eDR9+iHbsGAB6UhKMGQPFxejFxeo4fDgMG4ZeXIyenQ2aZikt8fJZYhXfJjpZOdjaiuvIEezV1bhqa3HW1OCurcV15AhJ1dW4w11fIYeD1mHDaBk+nBPFxZwoLqZ57Fh84fk25m0Zg+jWZavMGLO0mCdFQ+etLfP2T2pLC5O3b+fczZvJamqiqqSErfPnc2jyZLDZIpkobre7U7EtdE63TU5ORuvooOj55xn02GPYw5IUC13T8H/lK/juugtbVlbcNuPo18Dq60SERCRF6CkiK4LQE1pa1HbP738fP/0WlFjceCPcdReMH9/zxzpxQm1DPfigGpbYw+C3U0Hkz8XRo7BrlxKYffuUYFVWQkUFWrg2A9SgQwYNgpwc9NzczsecHPSUFHSXC5xOdJdLfTidBO12sNnQvV4lTF4veL3oXi+a34/e3g6NjdgaG9HCMf5aOMrfHv46cg2ahj8vD39hId6CAtoLC2kfOZLWkSPxDh1KMPzmbBao6Ocb783V/HOJBNyZz9H9foo+/JAx69YxdOdOQjYbH59/PmWLFuEJj2swaleM2H2Xy9WlQyhyBApeeomcxx7DGRbKeASnTsV7//3Ywrkp3dWeGPRUQEROhL4isiIIvaG8XNWyvPxy9+dqmprjs2xZ7yYnWwW/LVmiYvaXLu1ZjUwfiffnQtd1da319VBRgV5ZiVZVBcePq+81NqqI/fp6lWdTX4/Wzf/1x3wsu51QZiah7GxCWVkEs7MJZmYSysoikJmJLzcX/5AheAsK8OfnEwgLSTAYtAxgM67/k5KV9NpaRq5ZQ8mGDaQ0N3N82DD2XXghBy+4AF9qaqcC20RkJVnTyHvpJQqfegpXApISys/Hu2wZwS9+Eez2yGOIrAgDFZEVQegLb72lJiHv3Nn9uTYbfOELaqVlzJjePV5zM/z1r0pctmxRLcj/9E9qq2ju3FPbSWRBt/IS47xIPYuuo/t8XVZPgu3tEAyqVReXi5DDge50EnI41NeaFnMbKXq4YvQxugsokRqbeNtAZlmJ19mkHTlC/oYN5K9ZQ87u3fjS0qi+6CKqFi6MrKKYxSA6vt4sLYa4JGkaOS+8QMETT+Csq4v5u4i87klJ+L71LYLf/z6kpfU4/j76NbBCxEQ4FYisCEJfCQbVds1Pf6q2R7rDZoObblIDD3uzPWTw4YfqcZ97TgXanXOOiti//noVOhdVEHoq6LOs0FUMzDUg8eL6TwdZsdXWkv3OB9dJsQAACghJREFUO+StXUvmrl3oNhv106ZRc+mlHJ41i0DUvKhEZcUdDDLo1VcZ8vTTuI4cIRF8112H7+670YcO7fWsnujrtEJkRTgViKwIQn/h8cB//qeK4w8XU3bLkiVqZaYv8fuhkOokMqL2q6tVyNs116ipzBdeCOHizE+CeGm4Vl/HK741dw+ZMcuKldBYCUys2xLJjEl0GygUCuGsribtrbfIePNNUnfsIORwcGLWLOovuYTGefPwhTt3op+TGfNgQPPRcewY+StXkvP88zi6a6cPEzj/fDruuQdmzYorKcaxJx07IibCJ4XIiiD0N7W1cO+98Mgj3afgGkyerOYHff7zEK5D6BWhkIrzN8SlqkpNi774YpVWu3ixKtQ9hZxtskJLC0mlpaRt2EDK+vW4KysJOZ20zJ1L06WX0nDhhQTT02N2L1kRLSvJ5eUU/PWvZL/+OrbuCrvDBKZPp/2HPyS0aBGEV2pEVoTTFZEVQThV1NQoaXn0UZUcmwh5eSoR92tfg8GD+/b4ug47dpxMq92wAfx+GDlSRewvXqwkJjxL5lQQ689LPFmx+l60kFgVw1rdZiU0VpJiPtfqOju9KQeDOPfuJWntWtxr1+LesgXN7ydQVET7/Pm0z5tH6+zZ6OnpcZN6Y95/GLumkfbuu+SsWEHq5s1dbo9FYPp0Ov7939GXLAGTfDgcjm7bkmPNQIp1jYLwSSGyIginmupqJS2PPZa4tLhc8LnPqY6fhQv7p3D2xAlYs+akvHz0kdp6mjgRZs9WSbWzZ6vi31P0xpToqku8VNzoc+JJh5XkxPq5WDU2WnMzjm3bcG7dinPLFhzbt2M7cQI9JQXf3Ln4Lr4Y34IFBEeOxPipRMQp1p9e++HDpK9aRdrzz+M4dMjyHCsCU6fi+/GPCYUlJXoVpbuBgtFfi5wIAwmRFUH4pDh0SEnLE08kXtMCMGyYyle59VYYPrz/rufgQdUSvWmTitrfvVutxuTmnozZnz5dJdUWFfWLwAx4WWltxbFvH/bduyOCYi8vR9N1QtnZ+GfOJDBjBv6ZM/HPmAHhFuJEVoDiyorXS8r//R/pzz1H0rp13abNmglMm0bHnXcSWLIEu8MRkQyRFeFMQmRFED5pjh9X9SwPPaSi/BNF01Qh7h13qFWXvtS2WNHcDJs3R+L2KS1V3wO1VTRpkqqtMaL2J01SYtNLerJFFP11X7eR8PvR9u/HVlaGbfdubHv2YC8rQ6uoQNN1dE0jNH48gfPPJzhzJsFZswiVlMQUtngCFO82x549JD37LMkrV2ILp+omgq5pBJYuxf/NbxK84AK0sITY7fa4Wz197fQRhE8LkRVB+LTwetW8oeXLVZx9T8jIgM9+VnX7LF7c/+ICapWlsvJkUq1x3LtX1b4Y1zF8OBQXq6P582HD1IDHGC3Up0xWdB29tRWttlYl6lZVoYUD6iLH2lo0Y8WjoIDQhAkEJ0wgNH48wQkTCI4Z06NBkj2RFVt5Oe6XX8b90ks49+5N+DEA9NRUfDffjO+rX0UfMaKLdIisCGcqIiuC8Gmj66qWZPlyeOWVnv98ejpceaUSl8svh/CcmFOG368i9nfvhoqKSMx+5GiK20fTICtLSUtubuePrCy1jeJygduN7nRGPsfl6hS33+XD61WjDxoaoKFBpeKak3FNtUG6pqkp0sXF6MbMomHDCI0aRWjChMjqUG//FFoV5kYeOywrtj17cPzjHzhffBF7DwUFIDR0KP6vfhX/LbeAaX5PvG6e3s72EYSBiMiKIAwk9u9XNS0rVqgW6J6SlqYi+D/3OVWY24dtml6h60oYKipUjY4RtW/10dyspMMsIPHu2uE4KTIuF6SkQG4uek5ORIb03FzIzlbfKyggNGwYFBUpESKxVZueYikrwSC27duxv/46jhdfxF5e3uP71W02AosWEbjlFgKXX45mGqsgsiKcbYisCMJAJBCA115T4vLKK90PTbRC02DmTLVNtGiRKpqNSkwdUOi6ep5G9H4weFJOnM5OHVGJFOpafS+erMT6XsJUV2NbvVp9vPMOmmmYYk8IlZQQuOUWNbensNBSLBIREZl+LJxJiKwIwkCnrg6eekrNA+rF/6FHyMhQBbqLFqnjqFGnrEW5v0nkz1S8c/pdTAA8HrRNm9DefBNt9Wq0PXt6fVd6cjKha64hdNtt6Bde2On30pOOnb4MGxSEgYzIiiCcLuh651j9HmRwWDJo0MlslTlzYMYMtbUyAPnUZUXX4aOP0EpLlaCUlsKuXT1qMe5yl04noYULCV19NaGrroLMzIQEQ2RFOBsRWRGE0xEjVn/lSvVRWdn3+3Q4YNo0JS/nn6/alMeNi2SJDFT6KjJdztN1NRhy1y60999XYlJainb8eF8vFd3lQl+0CP3aa9GXLlVFxjHoSZKsROILZzoiK4JwuqPrsHXryRWXjz/uv/u221WirZGvYhxHjuyfVN1+oE+y0tioWrJ37UILH9m9u9f1JpaPnZSEvngx+jXXKEHJyEjo50RWBOEkIiuCcCah66qt2IjUX7MG2tr6/3GSklSeipGpEp2zcs45A0JmdI/nZEu10V5tfFRUoB07dmoed+JEWLQIfdEimDevX9vJRUyEsxGRFUE4k/F61QBDQ156Gj7XW5xOVROTm2udsZKbq9qsjTZkc0uyKWfFMl/F+LyjI5KrEjlGf3g8n8jT1bOzYeFCJSeLFqnxBKcIkRXhbERkRRDOJmprYf16NQto0ybYvv1kGq2QMPqwYaq2x5ihdO65MZN6TwUiJcLZhsiKIJzNdHTAtm0n5WXjRtUqLZzE6YTzzus8mXrIkD7fra7rIh2CkCAiK4IgnETXobq68zygXbugrKzbhNkzgqFDuw5sHD/+lMxeElkRhMQRWREEoXsCAThw4KS8HDx4smC1ulqlzZ4uZGd3LgweP/6kmGRmftpXJwiCBSIrgiD0jUAAamo6DzOsqbEueD1VqzOapiQkuoh38ODO3UrFxQm3DguCMHAQWREEQRAEYUDz6QchCIIgCIIgxEFkRRAEQRCEAY3IiiAIgiAIAxqRFUEQBEEQBjQiK4IgCIIgDGhEVgRBEARBGNCIrAiCIAiCMKARWREEQRAEYUAjsiIIgiAIwoBGZEUQBEEQhAGNyIogCIIgCAMakRVBEARBEAY0IiuCIAiCIAxoRFYEQRAEQRjQiKwIgiAIgjCgEVkRBEEQBGFAI7IiCIIgCMKARmRFEARBEIQBjciKIAiCIAgDGpEVQRAEQRAGNCIrgiAIgiAMaERWBEEQBEEY0IisCIIgCIIwoBFZEQRBEARhQCOyIgiCIAjCgEZkRRAEQRCEAY3IiiAIgiAIAxqRFUEQBEEQBjQiK4IgCIIgDGhEVgRBEARBGNCIrAiCIAiCMKARWREEQRAEYUAjsiIIgiAIwoDm/wFcBNdSPS6+iAAAAABJRU5ErkJggg==", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "include(\"NtSolutions/segmentation_2_snakes_param/exo2.jl\")\n", "\n", "\n", "# gamma = copy(gamma0);\n", "# displist = round(linspace(0, niter, 10))\n", "# k = 1;\n", "# clf; \n", "# imageplot(transpose(W));\n", "# track = gamma\n", "# for i in 0 : niter\n", "# N = normal(gamma);\n", "# g = EvalW(gamma) .* normalC(gamma) - dotp(EvalG(gamma), N) .* N;\n", "# gamma = resample( (gamma + dt*g)); \n", "# if i == displist[k] \n", "# lw = 1\n", "# if (i == 0) | (i == niter)\n", "# lw = 4\n", "# end\n", "# cplot(gamma, \"r\", lw);\n", "# k = k + 1;\n", "# axis(\"equal\"); axis(\"off\");\n", "# end\n", "# end" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Medical Image Segmentation" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "One can use a gradient-based metric to perform edge detection in medical\n", "images.\n", "\n", "Load an image $f$." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float32,2}:\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " ⋮ ⋮ ⋱ ⋮ ⋮ \n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0 0.0 0.0 0.0 0.0" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n = 256\n", "name = \"NtToolBox/src/data/cortex.png\"\n", "f = load_image(name, n);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(f)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "An edge detector metric can be defined as a decreasing function of the\n", "gradient magnitude.\n", "$$ W(x) = \\psi( d \\star h_a(x) )\n", " \\qwhereq d(x) = \\norm{\\nabla f(x)}. $$\n", "where $h_a$ is a blurring kernel of width $a>0$.\n", "\n", "Compute the magnitude of the gradient." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = grad(f)\n", "d0 = sqrt(sum(G.^2, 3))\n", "imageplot(d0[:, :, 1])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Blur it by $h_a$." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = 2\n", "d = gaussian_blur(d0, a)\n", "imageplot(d[:, :, 1])" ] }, { "cell_type": "code", "execution_count": 95, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "128.0" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "f = copy(d0)\n", "\n", "n = maximum(size(f))\n", "# t = [collect(0:n/2); collect(-n/2:-2)]\n", "# (Y, X) = meshgrid(t, t)\n", "# h = exp( -(X.^2 + Y.^2)./(2.0*float(sigma)^2) )\n", "# h = h./sum(h)\n", "# real(plan_ifft((plan_fft(f)*f).*(plan_fft(h)*h))*((plan_fft(f)*f).*(plan_fft(h)*h)))\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute a decreasing function of the gradient to define $W$." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "256×256×1 Array{Float64,3}:\n", "[:, :, 1] =\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " ⋮ ⋮ ⋱ ⋮ ⋮ \n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0\n", " 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 … 1.0 1.0 1.0 1.0 1.0 1.0 1.0" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d = min(d, .4)\n", "W = rescale(-d, .8, 1);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(W[:, :, 1])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of points." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "p = 128;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 3:** Create an initial circle $\\gamma_0$ of $p$ points. When plotting the image, you need to transpose it to have axis coherent with the cplot." ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(-0.5,255.5,255.5,-0.5)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"NtSolutions/segmentation_2_snakes_param/exo3.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Step size." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "dt = 2;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of iterations." ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "4500.0" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Tmax = 9000\n", "niter = round(Tmax/ dt);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 4:** Perform the curve evolution." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "include(\"NtSolutions/segmentation_2_snakes_param/exo4.jl\")\n", "\n", "# G = grad(W);\n", "# G = G[:, :, 1] + 1im*G[:, :, 2]\n", "# EvalG = gamma -> NtToolBox.bilinear_interpolate(G, imag(gamma), real(gamma))\n", "# EvalW = gamma -> NtToolBox.bilinear_interpolate(W, imag(gamma), real(gamma))\n", "# #\n", "# gamma = gamma0\n", "# displist = round(linspace(0, niter, 10))\n", "# k = 1;\n", "# clf\n", "# imageplot(transpose(f))\n", "# for i in 0 : niter - 1\n", "# n = normal(gamma)\n", "# g = EvalW(gamma) .* normalC(gamma) - dotp(EvalG(gamma), n) .* n\n", "# gamma = resample( gamma + dt*g )\n", "# if i == displist[k] \n", "# lw = 1; \n", "# if (i == 0) | (i == niter)\n", "# lw = 4;\n", "# end\n", "# cplot(gamma, \"r\", lw);\n", "# k = k + 1;\n", "# axis(\"equal\"); axis(\"off\");\n", "# end\n", "# end\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Evolution of a Non-closed Curve" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "It is possible to perform the evolution of a non-closed curve by adding\n", "boundary constraint\n", "$$ \\ga(0)=x_0 \\qandq \\ga(1)=x_1. $$\n", "\n", "\n", "In this case, the algorithm find a local minimizer of the geodesic\n", "distance between the two points.\n", "\n", "\n", "Note that a much more efficient way to solve this problem is to use the\n", "Fast Marching algorithm to find the global minimizer of the geodesic\n", "length.\n", "\n", "\n", "Load an image $f$." ] }, { "cell_type": "code", "execution_count": 125, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "61" ] }, "execution_count": 125, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n = 256\n", "f = load_image(name, n)\n", "f = f[45:105, 60:120]\n", "n = size(f)[1];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 126, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(f)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 5:** Compute an edge attracting criterion $W(x)>0$, that is small in area of strong\n", "gradient." ] }, { "cell_type": "code", "execution_count": 128, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "include(\"NtSolutions/segmentation_2_snakes_param/exo5.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Start and end points $x_0$ and $x_1$." ] }, { "cell_type": "code", "execution_count": 129, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "53 + 4im" ] }, "execution_count": 129, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x0 = 4 + 55*1im\n", "x1 = 53 + 4*1im;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initial curve $\\ga_0$." ] }, { "cell_type": "code", "execution_count": 154, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "1×128 Array{Complex{Float64},2}:\n", " 4.0+55.0im 4.38583+54.5984im … 52.6142+4.40157im 53.0+4.0im" ] }, "execution_count": 154, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p = 128\n", "t = transpose(linspace(0, 1, p))\n", "gamma0 = t*x1 + (1 - t)*x0;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialize the evolution." ] }, { "cell_type": "code", "execution_count": 138, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "128-element Array{Complex{Float64},1}:\n", " 4.0+55.0im \n", " 4.38583+54.5984im\n", " 4.77165+54.1969im\n", " 5.15748+53.7953im\n", " 5.54331+53.3937im\n", " 5.92913+52.9921im\n", " 6.31496+52.5906im\n", " 6.70079+52.189im \n", " 7.08661+51.7874im\n", " 7.47244+51.3858im\n", " 7.85827+50.9843im\n", " 8.24409+50.5827im\n", " 8.62992+50.1811im\n", " ⋮ \n", " 48.7559+8.41732im\n", " 49.1417+8.01575im\n", " 49.5276+7.61417im\n", " 49.9134+7.2126im \n", " 50.2992+6.81102im\n", " 50.685+6.40945im\n", " 51.0709+6.00787im\n", " 51.4567+5.6063im \n", " 51.8425+5.20472im\n", " 52.2283+4.80315im\n", " 52.6142+4.40157im\n", " 53.0+4.0im " ] }, "execution_count": 138, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma = gamma0;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 140, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clf\n", "imageplot(transpose(W))\n", "cplot(gamma[:],\"r\", 2)\n", "plot(real(gamma[1]), imag(gamma[1]), \"b.\", markersize = 20)\n", "plot(real(gamma[end]), imag(gamma[end]), \"b.\", markersize = 20);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Re-sampling for non-periodic curves." ] }, { "cell_type": "code", "execution_count": 141, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(::#57) (generic function with 1 method)" ] }, "execution_count": 141, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Dierckx\n", "curvabs = gamma -> [0; cumsum(1e-5 .+ abs(gamma[1 : end - 1] - gamma[2 : end]) )]\n", "resample11 = (gamma, d) -> evaluate(Spline1D(d./d[end], real(gamma), k=1), (0:p-1)./p)\n", "resample12 = (gamma, d) -> evaluate(Spline1D(d./d[end], imag(gamma), k=1), (0:p-1)./p)\n", "resample = gamma -> resample11( [gamma; gamma[1]], curvabs( [gamma; gamma[1]] ) ) + 1im*resample12( [gamma; gamma[1]], curvabs( [gamma; gamma[1]] ) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Time step." ] }, { "cell_type": "code", "execution_count": 142, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.1" ] }, "execution_count": 142, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dt = 1/10;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of iterations." ] }, { "cell_type": "code", "execution_count": 143, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "11429.0" ] }, "execution_count": 143, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Tmax = 2000*4/ 7\n", "niter = round(Tmax/ dt);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 6:** Perform the curve evolution.\n", "Be careful to impose the boundary conditions at each step." ] }, { "cell_type": "code", "execution_count": 156, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", 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