{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Image Deconvolution using Variational Method" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tour explores the use of\n", "Sobolev and TV regularization to perform image deconvolution." ] }, { "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.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\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", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\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": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: Method definition ndgrid(AbstractArray{T<:Any, 1}) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:3 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:3.\n", "WARNING: Method definition ndgrid(AbstractArray{#T<:Any, 1}, AbstractArray{#T<:Any, 1}) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:6 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:6.\n", "WARNING: Method definition ndgrid_fill(Any, Any, Any, Any) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:13 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:13.\n", "WARNING: Method definition ndgrid(AbstractArray{#T<:Any, 1}...) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:19 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:19.\n", "WARNING: Method definition meshgrid(AbstractArray{T<:Any, 1}) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:33 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:33.\n", "WARNING: Method definition meshgrid(AbstractArray{#T<:Any, 1}, AbstractArray{#T<:Any, 1}) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:36 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:36.\n", "WARNING: Method definition meshgrid(AbstractArray{#T<:Any, 1}, AbstractArray{#T<:Any, 1}, AbstractArray{#T<:Any, 1}) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:44 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:44.\n" ] } ], "source": [ "using PyPlot\n", "using NtToolBox\n", "# using Autoreload\n", "# arequire(\"NtToolBox\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This tour is concerned with the deconvolution problem. The measurement\n", "are assumed to be blurry and noisy:\n", " $$y=\\Phi f_0 + w = h \\star f_0 + w$$\n", "\n", "\n", "\n", "Where here |h| is the filter (low pass) and |w| some noise (here assumed\n", "to be white Gaussian).\n", "\n", "\n", "We consider variational deconvolution methods, that finds a regularizer\n", "through a convex optimization:\n", " $$f^\\star \\in \\text{argmin}_f \\frac{1}{2}\\|y-\\Phi f\\|^2 + \\lambda J(f)$$\n", "\n", "\n", "\n", "Where $J(f)$ is a prior energy. In this tour we consider a simple L2\n", "prior (the image is assumed to have a bounded energy), a Sobolev prior\n", "(the image is uniformly smooth) and an approximate total variation (the\n", "image has edges of bounded perimeter).\n", "\n", "\n", "Note that the parameter $\\lambda$ should be carefully chosen to fit the\n", "noise level." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Image Blurring" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Deconvolution corresponds to removing a blur from an image.\n", "We use here a Gaussian blur.\n", "\n", "\n", "First we load the image to be inpainted." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = 256\n", "name = \"NtToolBox/src/data/hibiscus.png\"\n", "f0 = load_image(name, n);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initial image $f_0$." ] }, { "cell_type": "code", "execution_count": 3, "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": [ "PyObject " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(f0, \"Image f0\", [1, 2, 1])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We build a convolution kernel.\n", "Since we are going to use Fourier to compute the convolution,\n", "we set the center of the kernel in the (1,1) pixel location." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Width $s$ of the kernel, in pixel." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "s = 3;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define the convolution kernel $h$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "include(\"NtToolBox/src/ndgrid.jl\")\n", "x = [collect(0:n/2 - 1); collect(-n/2:-1)]\n", "(Y, X) = meshgrid(x, x)\n", "h = exp((-X.^2 - Y.^2)/(2*s^2))\n", "h = h/sum(h);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Useful for later : the Fourier transform (should be real because of symmetry)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "hF = real(plan_fft(h)*h);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the kernel and its transform.\n", "We use |fftshift| to center the filter for display." ] }, { "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": [ "PyObject " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(fftshift(h), \"Filter\", [1, 2, 1])\n", "imageplot(fftshift(hF), \"Fourier transform\", [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We use this short hand for the filtering.\n", "Note that this is a symmetric operator." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(::#3) (generic function with 1 method)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Phi = (x, h) -> real(plan_ifft((plan_fft(x)*x) .* (plan_fft(h)*h))*((plan_fft(x)*x) .* (plan_fft(h)*h)))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*Important* Scilab user should define a function |Phi| in a separate file |Phi.sci|\n", "to perform this.\n", "\n", "\n", "Apply the filter." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "y0 = Phi(f0, h);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the filtered observation." ] }, { "cell_type": "code", "execution_count": 10, "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": [ "PyObject " ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(y0, \"Observation without noise\", [1, 2, 2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Variance $\\sigma^2$ of the noise $w$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "sigma = .02;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Add some noise to obtain the measurements $y = \\Phi f_0 + w$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "y = y0 .+ randn(n, n).*sigma;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 13, "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": [ "PyObject " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(y), \"Observation with noise\", [1, 2, 2])" ] }, { "cell_type": "code", "execution_count": 14, "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": [ "PyObject " ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(y, string(\"Observation, SNR = \", string(round(snr(f0, y),2)), \"dB\"))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Deconvolution with L2 Regularization" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Deconvolution is obtained by dividing the Fourier transform of $y$\n", "by $\\hat h$.\n", " $$f^\\star(\\omega) = \\frac{\\hat y(\\omega)}{\\hat h(\\omega)} = \\hat f_0(\\omega) + \\hat w(\\omega)/{\\hat h(\\omega)}$$\n", "\n", "\n", "Unfortunately this creates an explosion of the Noise.\n", "\n", "\n", "To avoid this explosion, we consider a simple regularization.\n", " $$f^{\\star} = \\text{argmin}_f \\: \\|y-\\Phi f\\|^2 + \\lambda \\|f\\|^2$$\n", "\n", "\n", "\n", "Since the filtering is diagonalized over Fourier, the solution is simply\n", "computed over the Fourier domain as:\n", " $$\\hat f^\\star(\\omega) = \\frac{\\hat y(\\omega) \\hat h(\\omega)}{ \\|\\hat h(\\omega)\\|^2 + \\lambda }$$\n", "\n", "\n", "\n", "Useful for later: Fourier transform of the observations." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "yF = plan_fft(y)*y;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Select a value for the regularization parameter." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Lambda = 0.02;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform the inversion." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fL2 = real(plan_ifft((yF .* hF ./ (abs(hF).^2 .+ Lambda)))*((yF .* hF ./ (abs(hF).^2 .+ Lambda))));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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YYYcyjYMPPthWrFhh7373u2333Xe35z//+ckyjY+P2x/+8Ida5Z8/f37YNmuKuXPn2tVXX20PPvig3X///bZgwQJbsGCB7brrrjZ//nybN29e+Oymm25qZqusJcZvf/tbW3/99UurzBXMjTfeuHJff3+/bbDBBhXl7NnAPvvsY2ZmN998cxZeGX8ZOPnkk+2rX/2qnXvuufa2t72t9nMLFiworSrE//3f/1U+b7XVVma2KgItpQk7Dbh06dLwnvnz59vw8HBHHmaroq/6+vq6LmoKIyMj9rrXvc6uvPJK+8xnPmOXX365LVy4sGKBLliwwKanp+0Xv/iFbbPNNuX3jz32mD355JMy6s7h1sWTTz5Z+V5Za3WFo+cXtcWGG25Ysbr+XPBgA7UAO9z6OuOMM+zII4+snfYnP/lJ+8Y3vmEf//jH7Qtf+ELy3h/+8Ie2995710rXw+CfTWyxxRalpfvkk0/a7bffboccckjymc0228zmz58vDxe49dZbbccddyw/+1653/zmN5X7xsfHK+H8Pk7qzNUUJicnzWw1XbkuIfu8/gJxzjnn2Kc//Wk77bTTbPHixWv07Gtf+1q75ZZbKhsiH3/8cbvkkksq9+233342Z84c+8QnPiFDeT1sff78+bbHHnvY+eefbw8++GDlHrcM+vv77TWveY1dffXVlbDzxx57zC699FLbfffd14r+MltFHT7yyCP2la98xX7yk5/YYYcd1lFfM+uwFD7zmc+YmdmBBx4Ypu0C/Oabby6/m5qasi996Usd946MjNSKktt0001txx13tAsvvLAiFJcuXWrXXXddWd4/Fb7//e/L/nRfm6IzESeccILNmzfP/vEf/7F2nltttZUdcsghdsEFF9ijjz6avPe58HlFOPXUU21yctI++MEPVr6/7777OsL+DznkELvmmmvsoYceKr/7z//8T/v5z39eYQL22msv22ijjeySSy4pKUWzVdsypqambNGiRWZWHSc4rq6//nq75557atfhm9/8ppmtatd1Ddnyeg5w/vnn23e+852O7xcvXmw33HCDnXLKKfbiF7/YttlmG/u3f/u3yj2LFi3qoCQQp5xyil188cW2//772+LFi8tQ+QULFtjdd99d3jdnzhw777zz7IgjjrCXv/zl9ta3vtXmz59vDz74oF177bW222672b/8y7+Ymdk///M/2+67724vf/nLS7/J/fffb9dee63dddddZmZ25pln2vXXX2+77767vfe977WBgQH74he/aGNjY/apT31qrdvqta99rc2ePdtOOukk6+/v79CSX/ayl9mRRx5pX/rSl+zJJ5+0Pffc02699Va78MIL7eCDD05q+dttt53tsssuduqpp9of/vAHW3/99e2yyy4rtVnEK17xCrv88svtQx/6kO200042a9askKY555xz7IADDrBXvepVduyxx5ah8nPnzk0eX5TCGWecYUuWLLGbbropeT7j2Wefbbfffru96U1vspe+9KVmZnbHHXfYRRddZOuvv37HCSGMuXPn2uLFi2sFbiBOPvlku+KKK+zcc89NBhY92z6viy++2B544IFyX9zNN99sZ555ppmZHXHEEaWF88lPftKWLl1qr3zlK21gYMCuuuoqu+666+zMM8/sCDRxKg4VsdNOO82uvPJK23vvvW3x4sW2bNkyO+ecc2yHHXaoHBzQarXsnHPOsSOPPNL22GMPO+KII+zBBx+0z33uc7Zw4UJ705veVN571lln2YEHHmi77767HXPMMfaHP/zBPv/5z9t2220nLamf//zn5XqwYsUKu+WWW+zCCy+0F73oRXbEEUc8C63ZY3hOYx3XMXhodvT30EMPleHT0R+Gb0e4++67iz333LMYGhoqNttss+JjH/tY8a//+q9hWPh+++1XzJ07txgaGiq22mqr4qijjip+/OMfV+5bunRp8cY3vrGYN29eMTQ0VGy99dbFRz7ykco9d9xxR7HffvsVs2bNKoaHh4u99967+OEPfyjbgLcLqPB0x9vf/vYyvF5hYmKiWLJkSfGCF7ygaDabxfOf//zi1FNP7Qgh5lD5oiiK++67r9h3332LVqtVbLzxxsVpp51WXH/99R1lWbZsWXH44YcX8+bNq4Qyq1D5oiiKG264odhtt92KdrtdzJkzpzjooIOKe+65p3KP9/Xjjz8u2wj76sQTTywajUZx7733yjZw/OAHPyj+/u//vth+++2LuXPnFs1ms9hiiy2Ko446qrKNwdvDQ+URf/zjH8utFSpU/sorr5R577XXXsWcOXMqod9/auy555615so111xT7LzzzsXs2bOL4eHhYpdddimuuOIKmeaCBQvktoilS5cWr3nNa4rh4eFi3rx5xdvf/vbi0UcflWn8+7//e/Gyl72sHFfve9/7iqeffrrjvq997WvFNttsU7RarWLbbbctvv71rxdHHnlk11D5/v7+YvPNNy+OO+644rHHHqvdXn9NaBTFOhhjmZHRY9h5551twYIF6+QZdhkZCll4ZWT8hePpp5+2+fPn21133VUJSsnIWJeRhVdGRkZGRs8hRxtmZGRkZPQcsvDKyMjIyOg5ZOGVkZGRkdFzyMIrIyMjI6PnkIVXRkZGRkbPoWdP2Hjxi19cHh6Lh3cWRVGeQ4dvGB0YGLDBwUH5jJmVR+pMTk7a+Pi4ma06MXp0dLT8PDk5WR6J5G/U9Tz9MNeJiQmbmpoqD75tNBplXgMDA2X+zWazUpb+/v7K+XkYBIpvQfbvp6ambGpqqjwNwj87MM/BwUEzW/X6Bv8zW3UCtv+GJ2BPTU2V7YH19fvwXiwn5umvmhgYGLBGo1GW09vUbNUpAX49MTFR1tPbQ51UPj09Xd6HZWm1WpW64Ys7Z82aZbNnzzazVSdI+FFVIyMj1m63y7L29fWFZxh6Pbk9UuPA29DHhAPLjXWcnp4u22liYsImJydl/05PT1fy4fHqr+cYHR0tT0LHtLANHTwWVXtwnT2NqampMp+xsbHKteeJbaOg+prH+PT0dGW8Ydm8LN42nldRFOEzURn6+vrkWOY5y/PV8+H5Gn2P6wT2CZYXy9LX15c8MJvHKLcLto+ZdbST18frjGunl6EoirI/JicnyzHu/YRjHvvN0x4cHKysPzN560O2vDIyMjIyeg49a3lF2lSj0ZAalP9nTcRslQbhn8fHxyvaLmoN/f39lXxR0+HyYBlQg/FrtnSKoujQhrme+Nk1NVUf/IwWzeTkpI2OjpbW1sDAQKWceB9qzF4nbwNsb1XPoaGhMo9ms1lJe2JioqKZu+aHVrJbyJ42WzReJrc4sMxoQaOl4mmhFum/YZ/UPT0erRAH9qHSar0MaFWyFYv3cD9w33N7er3QesP2wbbBcdPX11f+FlkXWGa0wj0NbE9Pa3x8vGL54X08R5Tl5Vo+z0dMA+/1e7Dv0drDPHnNQAua5zmXyevDVjO2qXoex4eyvHA9wTbGNQzHcgqYVmRtYf6Yp1qHVB2wzF5/ztd/wxfXqr5ZG/xVCC8c/DjheFKwae6NhxOE6RWz6mRVpjnCJwhOBKTQovcT8UBSAxnz9YESTWZO259BWhTLiWnh5OeFlxd4bHd/p9Hk5GRJDQwNDZXUocPbAGlcbx+zVRQgCi9eEL38LvS9HCwUeJH1+uDkQWEY0bbcrhFdxMIL24jbuhvF5M/52InG2+TkZEUZ4bKpMY7Uj+ev6KiiKOR4xYWegQvl+Ph4SQuPj49X6sqLMlJjmH8d4dVoNCpChekszDMaxzjGuR+4Tbic/r2iKjmdiN5kgYHlZCU5WuswDxbm2IaKPsZ0uSy8zuD8YVob66PaINU2a4pMG2ZkZGRk9Bx61vLCQIi+vr5K4IF/r7RQZWGhc521O0yHnfNomaGlhf/R4RsFZXie3WgHfEbdo6gsfIapCr5H0QmukUaWINOv/F1/f78NDg5KDR7rgLRhs9mstBUGkIyPj0utur+/vyM4xV/JPjw8XFqCrVarvCfldI/aFu/1OkQ0jKKvVRsq+lnlr6yGZrNZWrzNZrP84/pFFlnKoY/PoXXD5WNLEq097De2gnCO4LzhOYbWrJpzOD5T7Yj0lZpfal5EFiZacaoNu9GGKcsrRV2z1avWOjOrWERR8BCXEy1PBFOVihp3tgbnQrc1bKaW11+F8BocHKxQc+xP8v8YzYX0EwsvzIOjfbgMeB9+j/4btZigIHVEPrSUn02VIVpo+ZrTUzy7+7KiyE4HCo52u12+LXh4eNhGRkbKBRapLeUr9DzRTzY9PV2J+ET6CxdxXLhbrVaZJwqydrtdWew5qrEOLcyLNSpESB3h4owRlylfCUMJQBz7OKYGBwc75gIrBP6MX3tEoPKnsVCI2iiK7ot8Lf5b5B/h9um22PLYxzKg0GUFoA7YXxON3bWhwyJqGgUUX/N/jBBU+bubANc6JTBZwUJMTU2FwouvVRm61WdtkWnDjIyMjIyeQ89aXqgxq31FZp2aH2rtSD+h5cXaCNMlCqxNOIXFZUPNBtNlqsZ/N4vpGSwfX0caTWR1qfqgVTs4OFhaK4rW8e+9nu12u9xXNXv2bJs1a1Zp+bRarQo9EdFVHPyA1g32Ee/jw+AFLzN+j0EibqXXocbqtKOyps1WR3LiuIyCY1hjVdGc/tnr4O3eaDSs2WxW2gD3KKn9hv39/ZWozzp15mATtjq6paXSiajoyDLFtuHgHqT00Kr05/A/lqOOdYC0pQpsUM9w3o6ISsby8xjg4DSMlMWy8ZhE5kIB+6DRaHQEQ0XBRjwGorZWkaV1rd8IPS28VAg6h0HjIoEcfERH1F3gGTzwVQfVNZPr3hdFT0UCN1UXXgzQd+Sbec1Wh76bddI4GCrvtKELL//s0YdeHuV39L5CPt0XYZxkvA2h1WrJSEZc3PBaLVAoWFU/cNtGm6mjiey/KaGN45XLg4sTlk3NA5wLqDih8OLF0UPaWYmKxhH7SNHHosAUJAsIJcg8H1Vv9pmhYJ+amio/s3Kg6sVCh+eSouNZ4PJ4UYIQ/aB8XyS8eP2IBGs0vnjrQB3486yk4O/+n9fNSAFAgctxAWuLTBtmZGRkZPQcetbyQq2b94kojZC1+YiCQHBkT6SN+28Otvh4g7TfH2k27GSOTHGsN2t4CqnfsT0HBwcrRyvNmTOntJza7XalPkpjbjabpaU2MjJiIyMjJY2IlpfZ6o20eJSR/1eaOVuIGJDAG2wVVcGUCqcdWVv8udt+MtbYOW2loSK8TD5+kaaKLBC3wpBGTGnnCmNjYzJwxGz1OPVNvNj32KYRzce0ebe5xBYAa/BMGXt7YBANH1OkIgK9PetYPlhG7A/8nS23aBxH/dPNBaAsH6T5OIoxFb3s4H1vzBx0AzNOKcsLr2eCnhVe0YZUHFRq8zH7tPwZ/s4RTfgousjzR27Z08SondT5a5hvShDxooyoM/BUub28SAEODw9XzgP0xdHM5MKAWxfc3+QDFQUMlmFgYKAUZFz31KLF569FocPsR0HgM6o9eWFjqEnKPgRWkLxufJqDP8PbJ7DcnDaXWdGG7XZbhjj7NS7EeHIJlxevlc82FR0YLW4pPyP3g/Ilt1qtCj2KtCEKdz5jMhKuqRNQWLBiPZHKRag6c3ukaEduE+xHpjLNqlQpnmDj+WC5orLxmqT8edyffAoL3qtow3XW58WdhgNJBWKw4DKrDqrUHo1u/iPm7KNnONiBJ3mkiXYTZFymSNPidCLLiffToMDAEPRGo1E5tolP5fBr7B8Ou1XOX+bpI+GFQtEVGCy3o5sfx39PBcDwIpPi/Tkf9t1g+fiUBNwGoKwDfxYFfbTo4GKC+8GGh4c7hJcSOLw4RlA+Fr9mazGyUqOFkhdAF1Lo01SHXCsfTze2A8vm6XHb4hhHYcFjXkEpxpHgVuMYn/N7UEmOrE2zzmAxL4+ai95O0bhW88KVhCgYI3pmJsg+r4yMjIyMnkPPWl5mJq2tqampkvYYGxurWF4p0x61fLbClCaY8idEGzBRM+mmBXaD0uRVnspvgjnFAAAgAElEQVS3oKwdxMDAQMeWAqRfkZLBPJVW6pFsaCFh2XDzpF97npiGChlXh+xG/paUv0dpoh5y7cBXQmC9OVxYXbsFo141wr4gZQlzmZGam5iYCMcLRoYilYvP+wkMyvIaHx+v7fdQlCRH+nHEIUJp+Uy3Ig3K1hZS0TiHkTacnJxMzi01t3EMRCH9iumIfFUpGlK1jfJ/qXUj5edTFhKXUdGgyurH53C++FzsZk2p9Wht0bPCCzsLGwz3NODOcuZsmcJTprgSXin+Gv+r8GdeEBGRvyXi2T0PFASKgmBHLIIXW8fExER5oOrKlStt+fLllXdeqXbHI5z4N/b3oKLgaeF7oEZHRysH5qJvK/JNeDurkO2obVM+F1xoMQiI242DgJQw589RuHDKh8lQ/ibfCoKLEwYy4CG/OCZ5WwIqglwHRLRAY9pM3ymfII9rTJ9D4jk4xe/jPuwmCLA+TJN1q6OCospV/hEiihjLoOYyKyFmnRS+mck5g+2GAR9MWSMiQehjV9GQ/HyktK8pMm2YkZGRkdFz6FnLC9+ng1oTW14o3XkDJ2ox/j3TVfh8ynHpYG0i+qwoSEVVRNQCa4qsqSkHKWttUf2wDVesWFGhZCYnJ8NzCjF/Pg0CrQFsA/WGZbe8sM1wYzOmy22Pm9DRclJnATJYe1bXrNFyUAKnh/eg1aGseX42Rd0gMH8sDwLbyq0xfxa1dn4HV3RmYRRCjvVW1ozSutlSiax2HkeYFltedSxjLouiASOaUwUeKAue64ljMpU+54VQTEz01m0fN1jWKEgDqd+Idue5xNdqLYzGQF1KOkJPCy9vKDwCBn0naAqjn8Rs1QRmPttM88Ap6sTBPHA0kFVorFq8lO9FTTjMv9sA8wmPtB3SpZiW3zM6OtohZFB48QG+/j3ewz4WBPrWfNHEo7v4Pj5EltsmWtAU9cKLQooi4v6MTs/GtPH7KLKT+x4XUI4mi2hq/H5NaWmPDkSa2IXbypUrK3XGOcL+H3VoMC+U3L5cV75H7QNChQAVCpwvUdqRf9L7hiloVWalFKaEF5aF1w6Obq3r82JlxaxTeKFyxMosljFqJ1UOs86TWhQdyW2FwDm6Jqd+KGTaMCMjIyOj59DTlpcDLQXeoMfUIL9q3oFUIX4XafOoebJGjOZzRBv4ZwWk1iIKxcuirK0UPcraGkbRcRm8DUdHRyuWmGvm+AqSZrNZvjPLT9dwME2BGh5SvOqcQy+Leg8b91/ktOdrvEc58LH+/Btb40wBKlpLaZjYBsrR73mocvOeHbQAokAiBI+VwcHBsu9475wDrRusp0oP918x7RkFyaQocLwP25I3tau0eM6mqEFlhTA1zQyL2eo5hhZRNyvbx0e3fVEIHx+YtnodD7MoqUCgFMXriPqXmZcUrR3RkzPBX4Xwimg6s+pg44ZXm22ZS2eqQdF2bP5zKDV2nFr0fIBjuXFhjl7RzoI5Ojkdn+FTRyKfhsMXUYyUc4GDwmt4eLjil/Ky8WGx0UKj2llN0ugQWLUAqomJCk1qoY8msk8+NQEjv6X7FiMhhgt6tHkYy6cWJ89H+QFVXR18pBSfzK+odZ5vWAYch4rOi8YYLq4sFPA+FoYKkY+lji+rGxRtqJRSRRWi79brzIqHAgtVHHup00w83Shtvp8pTEUV8gk3kfCKlHZ2W8wEmTbMyMjIyOg59KzlVcepypoNBxWoQ21RO3LNE7VCRS2wZsL0ngOtRdTElTaImqyiAP0ayxq96h7z5/eYqbyZjuBNrMoawO9wT5G/2VdtbEaw5hc5mTn4gy2nyKrCeqp9av6Mov3YiuOzAbHeTKdhWSLKDNuWI8aiKLy6dVZHdvF84SO30PKKXi1Sx/Kanp6u0NJMGSE17OnxHE0FtET1YagxrsYb9xfXDfNXbY0WHs9tzwePIuPyKIYF1wxFWSsLTzFBWB9sa2wbtArZ8lJnSmL/eB44Z7jNuJ3WWdow4si5Q1JmuaIa1aSMfBKcrz/DgpE7z6waNcediAtgf39/SAfy4aTuaxoaGqoIL89/YmKishkYy8CDDUOnMXQdF7HokFx8ISKf9u7pe54ojPGdXdiPvLES25LLr6gcpnEU/eZpqHGlqGRFXeLWg2az2SFYlUKjKFpvZyy3lx3/cxv6b1gmdW4jL8iNRqOibLgSNDQ0VIncjSIZmSbmUHz/j2XDrS54ODEu4rwgRj7ASHlV5XRwXdivE0VMRv3BgjmK3MOxl/IzIVhhjujBlG8uUuSw/lxmnJvqHEnlDlB9xcofl2Nt0bPCK0LE7fvC4B3DR8Xg93ywaORsxOdZ41a7/9laTFmMnh5qwkNDQ+XC4gLC/XZ++rtf+/c4KF0QeVh0SqvHky/wmbGxsYo26PVst9sVy4+P8VGBIbxgYNuwYEVhjBMlWsjZ0ol8HVwezFMJTO9DXITRAlfas7LwUJhykIaqW90QfxaGqj14+wSOVxxHIyMjlX1zvAVFLaKohODY8zTQokfhhX3PIfJK2HM/1hFgKGSZUcGxyKd3KKWD+43XCbUwK78YpoGMQGo9wjp2C7hKrTOo3Cu/HbZVpKSy8OJjqbq1wUyQfV4ZGRkZGT2HvwrLCyW4eg2DX7N2w8+Z6deoqGhDpqwijRC1KH79BWqe6CdqtVoV6gZfBIkhzXhfu90uacN2u93xcj6zVZbX0NBQ5ew6FVHkdfdnVq5cWW5YRQoRo8TwBZbtdruySTmiNFjLZpoCtXGmkhx1NTllPUf3eD6KJmMLPkVlqc3gKj3lR1WatLK8FBWufAloQWDaqEWbVennkZERueHfrQxFk2GZUj4ctLz4JBysZzT/uI4pyytFp+E1+u3U4bWpCDoEjpvI1+j9hOsTHzLt9cTX5GD6ijJmpPyBqXHJ9eGXvvq18hFj+b1ca1q2Ouhp4aX4Zz4ahTu6W/AF7zfi/ROKy8a0PH9cKNRChwu3Cw4URLNmzTKzVQuIC4Xh4eGK8EIacWhoSPq8UHg5BYm0n5eBgyq8zk41ovBCnxmm4wILhSceIcVg3wt+j1SSlwn/m2mnfUTX8MKL96IfAikiFRDk3yvaD9sNy+8LWER3KlrZoYKKorp5GhGUDwLzMFs1RnwcMV3MB79i0ArWVS2uqCT5Z1VvLn9E27PwqCO8WGDx6RCRIof9q+DjuBtNzde4HrBPUa1NXgZVH0xfCYvIlxsJQrwvEl4s5KPTYBgR/b2myLRhRkZGRkbPoWctr4i24I2dHFWFtCHex6HhZp2WVxRFhBSR0yFo4qN2pagwd3KjhaUsL6TjPChCBUnwmWNYFrQIUKPiV6ljhCJaWytXrpSvXkAtDqMiOWJMBSLUgaJvUppbpLGzJssap6JhMC3XllM0saeTqls3ZzbfU0dLdQtEBRjwfWwZYOCM2rCM7wbztHlDNUNRwkqbR2osVW7um5SlEQUsqKAot2CUlRvRhpyWimbmsqmAnGjbhxpfPKbq0IZ120YFBEWh8tHpPRHVrizwZwM9K7xwIPBEUpFLTp/h0ULsDzPrPF6Kd7F3C4H1hdrzSQ1+3FuDUV6zZ88u/VwjIyOSDvT9UyhwIgoBy8gnd2B6LhhR4E1NTdnQ0FApvIaHh8tr3v8VLRi82KvFSS0YiobhZ5n6w3pHSgdHfKKvLdpa0S2SLAW1gK4pZRLdr5QBrI+ii/w5fF4t6vzCR6RXcV5gZCjmMzU1VabFtBiWc2BgQD7vfiBWvvw3tcB7XXhc+PPsZ/bvI6T6GtuZ15pobeHTbSIlSOWjxnh0rehVTyN6hudvdCSUUtCidZHvW9O5k0KmDTMyMjIyeg49a3kxVchvPzarakC8FwNpCv/dTFNMipJUjn9MS+0R8jKZdR4S3G63S2treHi4QhW65cUnZ2C0D9aBz/yL6KdoY6aiexy4jwdfN85aJLdhtJu+jpM5coAjWCtNWebqOa9b6hUPWK5u5UmhjuUVBXWo/FO0kHoeP3v/sFVkVm0PtkS5TZWl09/fH54o4b9zHdAycCpN1QepehXxqSxJ3t/GfRAFtKSsCmwzNZe8fH4P5pVKrxu15+VRY0SNT1WfVN5oeSFtyPMiYlTweSxnat1cU/S08FIbRZG+UhMeo8EUz64W4SjCSZnpuGCaxXwvbwzlUHekCp3Oc6rQTIegIz2h2sPNdxVRpyLduD283OoIJHyJZ3QMlreVQkog8ALNkwTLofpH+Rr8Wc5L0YaoACihEi10dSgh3sirJnkqDfU9U9h8zcpFJFR40arjt8C2UqdysM/GrErho791YGCgQj3i2EUKDp/hMayiCrk+Dpyzqk94nit/L7cb1jNKi8uN6Sk/F6ZVRxDVUXymp6crgp2jGqO+T40jpUDwMzNBpg0zMjIyMnoOPWt5RU7JVGQLasO4SdLT4LSUJqHMedaUovvQ2sJXsvhm427WFu/FSmlBSMnw3jbUsDigha/dWlVtnaItmNJRtJKyfDgdzhO/x/S8nbtFIuK4ceoJ6Q1sgzq0G1sxStv079Wemm6BLd2ityKtnsscWZzctmjF8IZUDg6qEznGVjtes7Xi92N7uvXFz6QYBB4f6hk1PlI0sVnVPYGUuY+7yJJUefhagG4NtZ5wmSKrGS1eFSAU9beidRuNRkcduB6ef8TcsLWlyj9T9LTwckQLA/u8kL7CRRzT407gSBlc7B0q7FYNRAxDRmE1PDxcOT0Dowo54isVIVVnccL7iqIaFakOdOUw5ihPpnGVD9LzUT64lA8IBzz7TpgGQlopSpsXd9w+oRZUrwc+g9/jd/iCRKYgo8VFgSd45LdU1Fe0OCgFwr9T44rPzmSFyus6MDCQHCOIiLbDccTXUVul6G81RrjdeQ51Uyimp1dHK+PbGYqiqLx408wqhwQ4sFyKasRyKQUclUIuG7YTrz+sxEQn3quyeBrKPcEHQkTPYMQoKmTr7KnyrCkg1KSYnp6uhHbXCZVVfDNaNErL7ia8fFBjUIZfq4N1+QiWFCKOmvlzpX3yiQmoYeKCgs9Fk1y91TXi8PF5VBLYH4D9qBZv78/IN6R49qheWCb/PsXnY11xYqJPRi0I/j+yAiJtPNWG7PNVVhiOAR/H2I5+zcIL9xS2Wq3K4o0CB/PBa55zKuwd08C25WfMtL/F+3RNFsZuykRkefmWEVcCma0wiw+S5nnh5fD/KeVUWf2RkPc5oZRzVmyVv5DLyOXhfldjlBmJOgprHWSfV0ZGRkZGz6FnLS/WaBBKM8HIILM4ConpnWjzL9OTkc8Lf8MTC9rtdoflFZ2W0Y0idCitVoU7c1SRp4eHE/uBrGNjY5LP5jZIaXeRhoXfM4XLWreyILyNsM7KN4aUMafLm9oVXcPtj9oj+ojQQmNfGkfNRT5AHnt1qMbIKlWUsacV0ZJYt2azWbG8MBp2dHS0smVCtRtbdLwVQdVHnZYT+VhxvGN7KiuO20pZ7ziuFY3J6wnmgxu1kY5H35Hqa9W/ytL3dNmaTrkHsL6RHxTBll9kRaHFy+2rLEr8jOkqn9iaoGeFF546zh2iBhhTRLzQ4fepBSMy7Xng4314qCX6tfgaT7tI7a9RZcPy8HEu6Gjn+uEkVdy+v31ZIeLWVbuqQAouC9aF+xG5db+Xy4yKBtKQuGjiMTxMsyEtxO3O/a5ersmLCVOV3RYQXsDUf5V2JACxPJw2K2RYNlzM1ZsOfL+hEsa4oLNSyD7Fbv5SV6gimgzrnELkXkBEdFYkYPB+rju/aFa1O9Oo3L94zUpht3HEPnucm0w/O9QexyiOoI4yHfldeZ2aCTJtmJGRkZHRc+hZy0tpPmZ6s5zfw/ehlq60GdcSlEbWTQOJ6Ak8VQND5ZFSrHtOYaRFIW3ob1z2a6YhkSpkjdd/j2jDFCVYF6i9e9uwds3BJP77xMREqC1iOfF71Z+Yj5chskbY4mULUWnDXuaI7kFEFhdr4EjXKOrYv++mPSsrF3/z9sXx6gcvI5WElpM6oYVpQiw/jj1leWF7KgvPg1scqUjNFCIqEU/O8LnEFjtbrJH1i+lHllNkefEalqKRVaAUfmbwhvTUOZ9qHKmoQ7U+1ylLXfSs8OKOi+gRbCjmy7v5EFReyl9k1nlMCk4y3JuFE4H3bymBhddcLhWpxGXDfNyXhs+p13Yr6jWiXlI8u/oOfRJIvaWOZmK6KApdxjTZ9xFRZlF9MB9eeJn+QRoktQgp3xjXjdsuRQf5f+XP5bLheFfCC9NQCxCPV476Q+GDz/ILKZW/hA+sVZGhqg2iPUaIyAfHbYNzk5UTtXDj9gBWWvw5dc35p2hzBR6/+L0aH1Fd+T7sK+WqiJ7B66gNcIw/m8i0YUZGRkZGz6FnLS+mB5V1wtpU5BzH5yLtFv8rMKXjn/F1D5FF5Ad5KkuursaiLEszHbyhDkTlvNka6OawxTZQ18ryYquCaQtFMxVFUe4v8r17ni6myZabonSwHfi3iJLlMVCXkoosLw4qitrd68v5ImXG1jFSsVFELaeNtF9ERSNd6OVWlhdbXTgO+BlVNx8Dam6zhcY0ooqUY0oZ88G2YtoP54/ThlhPr5eyClOvPalD+ymKGceragNeB/CgYH6lCQLXJp7jyhJkSzZaq/BZjh6dCXpWeHGoqoMbGamoOpQM+8KQHmFBhPlHvLTf68/ji/5YeCnaLuLvPX8sq7qPaS38zJMN/UrqgGFPT50ywmXmaxU6z5FpkfCKaEP2fyE48lAJ9r6+vko0WAS12EdUbh3wKRJedtXukd+By6HKwjR1FNnG7RuBlTglvLq1Rzf/TaRAeD54raL7/Bm1ECtfnN8TvWQRKVX2wTm8zLgoIx2v/LWufOMzOCYcKrpQ0XHdhBfWjZUKBivSESIK0hFR3tgeM0GmDTMyMjIyeg49a3nhKzgYSotjzRW1KNSO2DKInKCojTNlwPQgRvthxBZ+3+0YGZV/HWe0or9Qw1NHQvHxTky7oTWL7YmaOH+vLEmmenhvm7JYmWJi6zcKPFBavrcNW5d8H19z/yiNV9HSymrHtsYxzZRhKuACEVngEQ3KFoBZ/P6pOkiVmcvD9K1/HwXu4HmVSBnj2PM8/TmPjOR8sCz9/f2VqFzMl4OvkLJDi47bVM0rFaSCc0atR7zPzX93dBuHPq/UoQdsLTp4Qzmvndg23L/Ytsqy4jaYCXpWePFZYsqvhCYyTgp+hv0ODgyddqhO5N+x41FI4ZmFeIqGMtMVvaIGEQ6w1KkaDhzkk5OT5QKAB43igpoKgcW2xoHM9XB6jvNn4csLHPsozKpRXqkoJgz59nz9mWghjr5X9cLxUpfDj+geRdeadS7qSnipcZOiEuuULaKiFS3p/3GLAfqOcNH0+np9VFrso0W6H6lhFF5MGzYajcqGf5xnCFSOcCsARuQiBchzEcuJ84zHBI59VBCjLQJrEn2J7aEoRA57X1vhpVwNrKBFigu+wYP9vTNBzwov1vSVTwMnomtHaH3gIqw0GLWY1uGCUdMZHBzsONDUrPqKCR9QEX+NE57Lgvu52GeE9ca00E/kh4tGb0V2qLJhW+Aig4PYfUqoMavBy5YkLoL+2e9Tp1tw+/Bv3XwD6rc1Xfi57nWeifx5ZvWO2OF2w7TZalBj1/OsI/Cwbihk0Grxz2adChqmzb4XnKfITuC4Ghsbqyyivj0CNXhPV5Utas+BgYHKiTcsvNAnicIr8lljPSO/sgsvTzu65jc0cPlx7KCiyethpOwoRZEFHgr9vr74aDNeH9lq9vvqzpFuyD6vjIyMjIyeQ89aXkhFsdaBWim+mgB/898dKe7Yn2EqiqkKvFYnabCfi01pRRVGVAFbXopu4bK5lu1tMjY2VtH2olMbvO7qe/QbsPbm/zGiL+q3RqNRWoFIv/gzkbVUxxLmtlW/e75qHERWC7cBllPl3416VVYU3q8iD1HjVxGJkQXP9VTadOQ/4+i8wcHBSno+xv3kGH8GfX3sT1YnwgwNDVUifAcHB8s24JM4cMuEiuT19kH4Z2dB1NxMHeyL/VY3Qg9ZBzwAG88QHR8fL69xXuJa5vk6ItowxSAoSw7rFm3axuvIbcAuGlyb1nmfFzaCmaZK2NeSWkBUB3nnID0ZCS80sdF8ZgpD+aK8XNELHLG8vOipBQ2v1UKFAgsnDy5uWB9sZx5w2G7o64h8GxFwceWwa/ZdrY0fR5UX2wjT9//KL+W0Cba1ogAxX08LFwcUPuwP8mcjRQv9t0whRrQMLi7dhJeaFzgm3EfkNJu/HcGBlLkrbrxni6lpFIQovPDNASjIkOaenq6+WBaDNHiOpBQI5R7AvvbP3Ib+fZS2g7fdYN/jUWcoONDHi34sv4/XELPqXPaAkajdEVHwBSvTqHxyoIwSeFjPVqtV20fcDZk2zMjIyMjoOfSs5dVsNkPzU2kZrmEqjQg/sybN/xX1wlE2/J+tMgdbGhGlwoEjqvxcf6UpeZsgJaGcweiMZgoPLURFy3LZFGWGdYisBKQU+Tdlcat8OS8HasB8Rp/Kh09TwP+RdYJ96O0UjQNlISqrE+sSBRFxe0aBGDzWVFBQRGmy5TU+Pl6hqZACRPouZXlx2mZVK8zv8T7B6Fi0vJyiqvM+PJ7XKqoPrVKeV3h/dCAxWiPs0ui2Wdjv4yCIaCsBWlsYZIIBIF4OvlbzULFZvKamgGXDfny2Nin3tPDio4EYuAB5GLKiTtifwJE6kW9M0SvKJ8Mhun4fn6agBgULP05LCVacWFhnFzwYHo/CiyMzVVl5AVTfY1l8sHcb8Iq6VdQj55+iEJWikop2iurMyknKL6XKyhGXTFF5n2J9UEFQ5Ysob0SK1sJxzKHmUZuwX8qF1+joaGWeoSDihRb7lKMEvT1Y8cPxi/ST5495uiCLom3VfPEFHikvTC+K4sMxzfXB9kO6r47vFKOVsW28XByi779hn+Icd18y16cbFG3OwgvHLq+pWB+lrGXaMCMjIyNjnUPPWl6oUbHz1MHWSGR5oVOWrQ52jistTlleyjnv5TDrfHUEa3Woban9W+hQ9nSVptTf31/Ji0/PUFF8THVMTU1VPkdQZfHnVfRTN6tCgWkcDnKIaOEUtabq4HmZVfvKrYFIg44oZtyomYrqZKf5mlpYXIZoXvA9iopl2hAtL4wkHBwcrJx2ocrF9UIKLaWBc8AEWlS4nwznH5YbmQpmIdDKVfScI5ojWEYel3gffs/jBq0/xeo0m83KmoIBYFEkJVpevp55PhMTE0nmAP9z0AeX0z97Pjzm8Tfsfyz/TNCzwsvM5EBkKDrDLL1ZjxcMFdHn+aoysd8gKk80adHMRlqJ38XFpnjkO8HBmAqpxXQ58rCb3w0HLisN/JtaBNSCquoQgevO/gUFp4iVwGEh5pNXUcBRebh/1bFLrHjxmFLjEu9j6pSpm0hpiPw9kRLDJ5PjpvhIqcMTQ3zRiuZpROchjc8LJ5YHxzgLXUdfX588Usr7VwnJSAliBSbyxUZKMrcVP6+UFt6igNfcB7w5HN9759c4z7v5TaMTcjBPHu/RWsWKzNoi04YZGRkZGT2Hnra8UhSWA6kf1IJYk3Ww1hZZHayhRnttmDLE8rDlhPeiRqX2iTHYWossPyx71H4pGidFlynLq1sfcVADXrPW7P+VtuhabBSU4FAUb7ey8XfdrBi8z4GatdpH4/VmZ7jqU7RG+KBitNTxPqSiWOPncnebF67xq3wmJiZC+gz/s7WH1hYeVIzthc/g9/xGbvyNLTcFz19ZJGjVMQvDllcd2rCOxYvtxNGFuAbgNQdFuOXlEZoYwOHRxmwNRXO7TmAF1wMDwGZKD0boaeG1JvAFUQmvSNiw8IpoOvwNqRa81yy9gGHeWDb0c+FgZbqpr6/zrDWsg5cD68oCnEOE8X/UPg4+/ZoXGR/AGNnGbch+QAVeNHhBVsKDhU2kUETCrK4/jgWnWmg9T4SiZLi9ud4qAs6vIypW9a+icSOlAZULXizV4bMoMFOCiKltFCL8jKLWcIH3tCLaUIH7AxdepJ95LWDKLKIHI+U3JfAcOP9987Vaj1jIYaQsRhiPjY2Vvkr0ZXHdorEbta1qR96UjXXnOq8Nelp4qcGb0q74YE21MCgNRAk5XhCVg9isc7+QclZ6WVBTcUHEx9agZomDJToeig+x5UGqBqLSipXw4gVRtT0KLv8chd162t2OjUHBjIsWh/Qqy4vLxgtIZC1wm3Xzwfm9nJZDKTRYZmVBKChfQ5QPggWHUr7Qr4UWiO9pUm2AlhOGUvv9KBTUYo++abfiWEnytCOFBMFzVi2iLCxZWVHKS8TC+G9spXr6LBTUnME+wMAUH3vdfEVsfQ8NDVWEF+4BQ8UglS7ex20R/e5gi/nZEl7Z55WRkZGR0XPoactLWSpRhBWb6agV4n3IkXt6SiPB+5QpjTy70hax/G5RocbrGzDxlAF/RYTnw2lFUUhsbSpKMaV1IQ3R398fRhWmLBW0jKMTK7ivIq0U68PUiaJB2TrhPupGF3J9eEwobZOp6JQviinaVBpYLi6nui9qD647lg19rMgAOJy6UmHaEZWktG/lH3GaS6WF5Y3o3sjPyddYfh9T2MdqewxThZwn9hXORbU28YkcbJGpNuU5yj5VTA/XllarJS2v6Wn9WhluQzUuHRyVqdaRyE9fh71IoWeFFw4KbFw8sBdpKadkcOFDx39qsOOgVAOEFwl2OvtgaTabFZ8Gctl4mCi+cZnfARYtYMx540TEhQoF0cDAQKV92G+Az6NPAuuJA1zRkco3EvlkWHipwR357PhezMfT5Lopuila6FiIqLJhvTkfbAemW1Ih0mqMsfDExTPa+xO1NafHlDVeo6DjPsa9iIr2ZeHl3/E1jlefs6ofme6NFlp+HvNT/ettEFHrKUHpaWB74LzGeyOK2q+jOqMAZGD+WGbsU6QQec3DtSBKGxG5Xvg3rgsL+7VFpg0zMjIyMnoOPW15qRBZPEECowPJWa0AACAASURBVGzMOjWKKBDD4dSVuo9P+HC4FujmuJfVbJUWhtoOvvoBTyxAjRdpw9TZaGx5RfSiW1+cnrIusD1QW2JNE9uL81SWit+HFCRTqphnKiCBA2UiTVBZHV4urLeiEDn6jCma6Jo128hKVJSLajd1jfm5hac22KJ1ooKNeAOyWefbudE6wnz4tT8qipDbIwKWM2VlcH3U72b1Dn9VtK5qX86LyxYFaSiKWdHPyqrzQDMvZ4TIinNLFvsKow1xHPia5RQqrg3RBnusM1LOvE4hXZqiGNcEPS283C/Er8rG91Vxh0cRgspM9+togVWLkQ8IjgQ0WyWIcBB4/n7IqdODOMBSEwGBv/GBnVw2nKQR9Yl15EVT0TWIFEWVKnNE3ZrFfiU+ukmVmxfQ6D68l8sc5aNo5CitSOgr5SiiJvkZvPYFOKVU+TUKcJWG1w0FIS+K2Hc4XhX95HliG3SjjaKxxddMc0e+NRbaTLNFVHe38e75dvMlq7I7ImqN50SKRlUnfPCxbhi9ODExUa4tWB5/S4CqQ0pgo9LNz+D8QQE+E2TaMCMjIyOj59DTlpfS2qempqTpqugvpEQi577fy2DNDTUg1jK8HPjeIy+32eo3zrolyTvnFZ3B/5n2UFqTXysKIEUrcb1RQ1XUDVpnTNuwJqxoPrZYUg55ROrcQUVfKU2Wy+r3+z3+6ozUqQ7dyhxpsilqEcsTlbfbsyrYAdP1Z9XYwbL68zgOkOZW9WZtG/NJ0Wfqs6o3jplGY/WhsFxvLEdkgbPVq6wgHjf8PNabg5w4LUY0/1QQEs4RNa7cisR56PdhEA4jog2ZakS6GINTcE3EZ/BkoXX2YF72H2FDRZw/LqrM86uO90mKQgo7R20+dPMdP+OrvtWry512QZ8X5hnRfBztE92HdS6K6sskUeijrxCfUfl62ZSfC+GTNxJETF95uiwAvZ74DFIlXpcoYjKilSKkqBv1n3/3NLjOnh4utimfTR36lcuMi4t6Xl0rXw4rNHiyOB5LFc0ljDxk2jBFt0b18Tr5/0jYYPviWEYo+lhR6HUEqcq/zvvvuG6pcaA+F0X1bQBK+VQUKPYPHyDg32Mo/8TERGVtwH5H4YX+Ul4TlZI6U+GVacOMjIyMjJ5DT1teCGV5Mc2GpixqDbg3xqzT8nLwM36NgQPsrMbIQz5E1cvGlhcHXKD5zptJ8Td1jW3j+avf8PBOPFy10WhUNqiyFYN77ZQW6JZX9DZa7h+z1doiliHa2IyWF9JFXE6vM9c/FSSiLCdPl99j5M8rigojYLk8mI//5s+zhaQsRq4LW1vdwBZRZCmYWeVwV349idLm1XhAiwYZEmWRcdkwH2YD2JKLzn508Lxiy4vLwNd4HwefMLuRsnhT7gouSwopC57Hm7J8cG1xFgbXg2ht4IjTlBXtz6h2Xhv0rPDCs9awwdDnhSZzf39/hWpkQaQanflqNnmx83HjH4bnYxr8Di+O1sJoQ+bwOX830/nsOL9PTQqzztPscYFVA1QNNNXuOCiZIsNFkBdgDvXmejJQAcAJ6+e0Kb9XRBsyLRgJr7pgIVDn3W0qjTXJn9Nl/xF+H/luOX9Fl6IS5ouZosZYiVK+Rn4moukigc1l5whLpicjgROVE8vBfapobn42inbk+qnP/nyUPl+zH9vTZKVOPYPrh1qn8B1geEIHtg2ur3V8vll4WecuePweT1fHoIhIa8BFLxVswP4n9K+MjY2Vz2DoPmqo6FdiocQH8DqU9eflxDLwni0EO2+VYONTQZgzVw5fL4e6Tgk/RKSV4gRm/0a0qPP3/jxq+SlNOgUuS6SlO9jPx1p2tChHPjT8PvLbqbqo/kkJafYj4uKIlhf6b/mEEGURsfKSWtAixSWql4Lqe34uGpvRGME+5PWjrrWWQhTgwsJPCfq6ggDLyuny/PP+bTab5frGfkzOn33/6r5nS3hln1dGRkZGRs+hZy0vNlOZKzerbp50miPiz5UWgFaa3xeF4aOGipYXm+1IJbE1g+HGaBGpDX4pjY61/OiaoXx97t9BbamOho9ti5Yk+wBU2/jza6O9RmVT/gkvSzdfA19zn0ZaMlNUitZlaowtA0XL4HirS0dyeSL6iukjHK/sA0E/r2IHcAuL03eKOlyT/k3NUy8L/merPZWWKg/XDcH+NxwHKV9qlGdUH7aYI59tlF83ipTT9PGBtCEyPGhx85qhXCSRq2CdpQ0R7IxUzvBWq9Xh9K/beIqaQ2HJodzolxkfHw+DJ/i0eZV2RGO6Wa4GckQNdlsk1OLmz6BvrFs74YLBAxUXR6bWHPx+JURqsY78NZi/EopRmim/hhLAERU2MDAgF3d+XvkjlE8zKjMLVvYlReOA+4TD2806hRcqaCogxcvsyp4KQImgqD31WyRgormN7auENwb7qAAWzJ/XAlx3eCtEqvwc4KWeqXM8FIOpOTXGeKzwM+rltv39/eU44DHAb9FWbchK3EyQacOMjIyMjJ5DT1teqHkpLZktEN7YzOnwtWsmGL2oTF60Rpzmw4AFDH7w/CcmJkonqL9jx9PB93YxJYn5sGadosa8nSLnKWqOrOGhZh5p8EybYDuh5cF0Amr5qYOTu8GfV1o7tg2Xk+sZfWbaNAo8QLrV82TLi8uN4K0YKiiA2x3zZ0pTacIcRYv1YOsemQLWuFU0JbcHhlJHdBhbmNzWqk15XOP4ZKpwTempOn3Keah+8LZxKEYksqZTwRD8/ZoA88Hy8HjFdQvXCewrPvgc1z225pW1N1P0rPDiSR9x3LwAKt8Y0024oPOpGooCVAICBwLuCXJMTEzYypUrzcxs+fLltmLFCmu322ZWjTb0cvjzSG1EpjnWlwVcFPrP0Yos0FUkVLSwYPmd7sL2UIfc8mDn+qv6IFzIe9q4jYHHhP+moqYUHdhoxKeb40kEvIDhoafKL8NQyoQS4Cn6lxdY9QxGgvl9ippi/xcLL6SM0P+lhD4qbp4eCqxucwzLyr9xZBsKTQT7orr5sjxtdkv4fxa43fxsTM0x5RxRmgwl2PiaFVG11uG8Zr8003uqr/Dg8+npeItQJDBnikwbZmRkZGT0HP4qLC+m1tBkx2gn1tqVBsCbfVkrxGfQonLNhemcZrNZaiSoaU1OTpaW17Jly+zpp58uNyn39/eXVhifHMDljzQq5YjleqN1gHvi1IG7yvLiqETPBzUwL7fSXlkLZlpLUaKsUUfjYHJyUvYbtwefeqI0c36G21oFK7DFm7KWFLwNIjpPvaeKKW0cH1gfFayg+hnv5b2LWAaOSlRgbZ4DHvC0miiaLqJOsZxuwShGIOpDzjeiJyOa3X9T7Ybl57UFwQEfKl2vf0Tvq7L5NdL2CNyHh5YfU+14ZiFaYZguty+uIapuMw3Y6FnhZVZdXNAsRQoDG439OpFPhSmqiILDtL1DBwcHK9RUs9msnEzgmJqastHRUTMze+aZZ2xoaKgyQLxuQ0NDlUUpogNQkOAA5YXb0zerRhGxf0UNNtU+iGhBZ9pA0Qm8EDHNhspJtLhh3VQ0GOePYb+cLysADHVfRKOqsrKPRn3PUaxRWqlFVI3d6B7Pt5ui4sIKBRYfj6byYWpNjT1FC+KYxwU2FXmKz6BgRMWWBQOOkW7ppg4FwPGP45jHLqen5g/Td/g8z211zVQkK5xYvsgvxbS/OtZrYmLCms2mpHxRCVN07toi04YZGRkZGT2HnrW82JGK3+M1aiPR8U5REIBZdw3PgVoYH1Hl16OjoxXN2qMNly9f3vEuHMzf6US36jA/RZ1EkU/eBkgVqnKyc53TRC0qspyYfmNKwtNRVFqqPxD4PP9HrZCtm5TFiNYFRnzWLZ+ybrwsKtpPab74vP/OlHVUlwhMeSk6KpWecvQjpanOrkxZdMyCRPfh54j+VQE9KjqOwUErynJhqH13Xk51zXXmwAW0kFKUItY5oi4jy4ktQbR+sZy4v9LfW+efVdQrHqYwMTFho6OjlTUM3SWOiFZeG/S08EpNNAabyBF1ogZeNHnwWZ5IioIzs5JCxOitFStWdPic1CTFezyfKKLHwQIbFyE8T3FwcLAUXi4ssZ682HmeSC9GPggGCgjlh2G/Rzflwv+zkMR7FFWi/nfzESkqGX9LlVGVh8dbyi+mFutoYVH5+G98WK1a/LlsOL7c36VC5ZmOi9qBFUtVZh7PPCZSi3hKUHs+LCTUnIvoM86TFZKoH9k3h1BjV5Ur2lagxqL3G9LuKRrc74l+w/zxt6GhIRsbGytdIaOjo2We7FdGhWwm6FnhFfl11OA36wwd5VMslBbFgQN8TBLmj/lEg58XJy/f5ORkKcA8PRWa2mw2SwHDC3xRVA+fxXoi589t6AK01WqV1yhUUFvk9on8Izz5WBtXr6tAga+s3cgPgf2esqhUGD4HRUT1QR8kltf/13E8p4SSusfbRgkfFli8uKuFIvLHpYQxlw39GxzAEb3yhuvj4LGLC3cUVID9wGVWFsizgchCVVB9xfej1YP3KQWJy+B9jWtDHQFQp3+V9avqMz09LZXsqakpGxoaqrBELsjQqsM2mKkVln1eGRkZGRk9h561vCYnJyVfHIFpxpSmE1kWnpf/Vz4Kz0fRC8gRm1XfATY+Pm4rVqwws6r/qdVqlWHz7Xa7onmqyB6/VhGFqLmardJ8MB/chIr58M55pRWmNPY6vgFOK6ob0n7sQ4jKE1lU/Ip4zJetF6Z7sH1UJFXKioqg6FE1jqIzD7nsyifI9fRrbDdlrfEmZXzHE79jTUFRspiPenEljx32xda1Ztla9mtl9eDv3a6jMYKIrECOPOR+R0t0TS0vZdFgGhy+r/L3vP2/p8kvsPTnms2mtVqtiuWF9+KBAP4M/r426FnhhS+dRPACHTl/sUMiX5bfV2fRibjsRqNRKadKy4/acTO72Wza0NCQmZmtXLmy8q4wTJeFtuL2mTbENsDBj/4vdfQPOl/V4hZd+yIRBb10WzgUVD0jIeZ5qINPuW9TFGBq4WX/gqdVd3HE75TviT9zsEPke+FjmyLfUVQepHv4ODMUXphPpKwoJTDyh3LbYh9H/chpYL2x3bi/1TViTShVRYGnxmFKMcZxxAozzm3ue8wL/2N91pRWTSmcuEWI3wavlDk8lWOmyLRhRkZGRkbPoactryggQ2m6TGvgmXQc+cRRP0pDjIIy/H7UljBCMHoG6zM+Pt5xaK/fg5QZa9CobSpaSbWNCgxRVCNq86pdoqAIprQidLNuI+rHEbUrl0elqShK1tLxd6YRVZ5sFUfRdXURWX6eNl6rV5UglczBStw3SBXiO50wksytL88nsmgYqXBuVTf8Da1K/j1qnzo0t5clilBUZUGoKNGIAcBysZWK5VHt5JShcpek2iyynHCdUm0YUYnR/EZ3R7PZrDyPTM5M5gGiZ4WXWXwcSsSL8wKiXhiJg8OvFc3C4cqRrwIpBA5tVWX0cqpDT1FwcL48yKOFgffkRJQW0xH+zMTERNcFRCkV3C78DE+cSOBgmkoYq0U9Ncm5TMrnhfek0sHxxfQxU0FRmbmvsDzdwtG93aIoQOWXciGN3/kz7tsys4qw8mvc9sE0sbrmUynq0IusAKiTKyIlA9uxW9m8TFy21DxN0c/qGvNgoRrlyUIe04jqyX0dKTr4mV0f0TFsrKSyko7CC/eQRj7smSDThhkZGRkZPYeetbzY8lHOaOU85qAHfh6tDg9oUBq8cqjz81hW9Rtrm/xeMP+O32CLzyhaLhVIwcEYSpNVWql6hpGiE5E6VVDPRFaSohDVd/wcP68+4/d1HPqYt8oPryOrTlmfrpmjlovj0McBO8XZQlOHBiuKTQUy4dhD+tqDNSJGANua9wSpczq5TThgo1tbIVKUVGQd+byO5nY3Ky+FiH5T0bHdxq5DBQUxddytnVQ5VXAH5x+xJW554aEHft1sNiuvIeLgqrXFX4XwMotN9YgL54GsKEgfHOoYKV70Ii4Zf2M/FS/2SgDjAoJUjQshJTQjX5Q6UBUXLRWh6P6viKpAKKrC01Xv2VLthuVU1CErKkzjRYtXnShC9Zx/181Xo55XioV/r5SolO+Gr1mpcER+oag8Po5RSGKEIVKD0WHLUZ6o+Kn3uqlwcP+M/+ss6mt6je3g5UoJPq9nVI5I+DAFzvRqym8elaFb+ZQgckRRnt3QrQ9YeA0NDZUR061Wq/wex9FMhVemDTMyMjIyeg49a3mZaWclahasrTKFgs9g8AYf98SOd4faDJrSjFjTwjftYtrsPPfIw5UrV5bvAGu1Wh3lSlFbjshxj/VuNpsVKwitP6WB+3+/Tm2SrKM5ep5Iozr4rMYoIAQ1YQ5wYGstsqAjWpnvw2cj+gwtdYxkTEUhRo73SKtW1qd6T5Y6Mgypa6SpMbgHNXZMg8uZsl5V33H7s6XSjZ7vNu6jA7i7WVqef7fxoayuOlZp5O7gKEDMOzWWI/o5cndErgL+nGofnCO+UdlsleWFhyt4pCoeLrHOnm2Iwgjfk8Udx+HbaoFFQdbf31+JTooEBA4WpFp4AUFBUBSFfN05vsfL0/PrycnJUnitWLHCnnnmmfJ5rAfyyhF/75MFJwwLak8bJzwLfgf6z+rSHCqSKWpPTFtFfKJPKJrsWAe+9nuUElJ3oYsWt4jmS4HvqfOMWb2N2tjXqn8VVTgxMVHZnI7KDQsZB4dRc78phYAXaxWKzc+wzxsRLcL4DJ8Kn1I4FbXN9Yqi6XANQmqen+PvU+f+RUoXfh/1A9OzarwrHyCmpcBrGZ4MhGce+tji8q8NMm2YkZGRkdFz6FnLK9rrwtFXqM1zxJaKysKNmX6P0hAxLXWckgNpGDz7C8vKR8nwRmC3vJYtW1bR0KampmxkZMTMVmk3eDSLem23Wyq4OdvBtIWnFb1HymzVZlX/jaOIIu25DjiQhYMbOMpJ5RHliVaQW5SYTxQkkDoDTlkgrD2nqLE6wD1OisbEfNXn6DxEs87NyD7exsfHO6hCs9UbUD2N8fHx8hpZECznwMCAZDL8vwpqUFGMaA1EfdKNeVDPMNjiM+tkABhRNKmqmypnnbTquAdSY4vLr2jQbs8pdsGfR/bG1yB83dLAwEBpfc3U8upZ4TUxMRH6HXBxQpOdw0l5ETOrvoTQFwz12mt/jp9HQeafMcIOJxK/h4kXFP/vfDHmOTU1VVloRkZGSjN9eHi4vH9wcDCc5Cn/BG8PiPwtigZAesTrFVE8mCdPZPVMHUpI3cv19v/c9xEtVGeirYlQiuhFBCtBCBRKPCZVWSM/yvT0dIUq5AN3laLgr3tnOpjzZ7qKaTslvLjP6r42g8eFih6Oon3VIhz5lVDBZPpbCUl+vg5Um2O5IgEc+eZ4niu/fTdg/+AahOse+nKxfKy0OGb6SpSeFV44mbFxWDtKdQ52gj/Dlhfv88JnFcfsi6EaSB5O6vlEWgsOEAxc4MNRR0dHK0f2zJkzp6zzrFmzzKxzkUDfReQMx0HIC15qcVROal4IGFH++MLEaGHC8qU00khgpoRX5P+KJiKmF9UTF7Fu7cm/sSWL45/HpQqeiHwyHJDDewlxHOBY4DGKPtjIB+hl9/TU3j+sVyTUU+AFHsc/v/cvsogQKFjZQox846xU1WEhUj6rSBFMzStsb14D6zAhrIQ4kPHq6+urWNrINuC6hawBrq8qIGtNkH1eGRkZGRk9h561vFADwEMgWcNFiyoF9HvgM0wjKjoAKUDPE0+uUFoHarWehtLqMFwZ67Ny5Upbvnx5+Q6w0dHRStpKOxsYGKho4+g34Prgd2wBRHSt8h35b/h8ijo063xNPUeGpujEbmmngH3Fz0Y+iFRaaH0ypVLHkkXgmGLfDdOA0akpyufltCGelqG2Ungaqfr6/2gDNlsT7PPlPLxtIgsp8k9GPq/IauH2imi2aJuHl1NZ6kzrcnRhZG0hmMWoU7aIJmSGQo1rT0tZvmjJsZXcaDQqJ7Kg71RZ9jO1vHpWeJnp0G53DJvp/Q6RCY+LK+75quPkZeHF+Sqo+7AMKLx8EGBn9/f3W6vVKvd9jY2NdRwdxXUbHBxMhhWrejYajTI0GtPya7U/iE8z54mdWnS8HLygqWfYj6MoEk67jhDD9P0/UkT8+vNuSOVdZ6yociHljWmxH8IR+X74mUg5wbKm6Fbse6SRpqZWv/jUf4sCSNjfivmrxT7yT+F/v65L260JVekKb6RU4X44pjNT5VF1wnrzeuZARUdRjZGQi5BSRJnWRuHlLg1+AwEqSjNBpg0zMjIyMnoOPWt5ocOXj+J3cGg8BiuYdWrxDNZKpqenO87m43udJojOQ0QwTaEsL3yPElpXXlenDcfGxsLXRfj37Xbbms1mR5RjCn6vh/gzLYsaF25udQ0TQ+g9T6bTuG38e78vev17URQdgTuqPmgBcJ2xDGiRcH6oyeL/VIAGa+BR0ERKk2ZnPX7Hafl4Rws8RVlhnoqRYOqI84kslTr1iSJIuyGi9vgeNZ/rWC1+X0RzqwhJX1vYCvHflKXDllfEaKh2xWdU2sq6wt9SAUd4T7dx0Gg0OsYabrnAQDOkCtfEqk2hp4UX7iPAPU7eOB6+aZY+lggHooqawwU6erEk02+K/x4YGKg8n6KT0H/kQmHFihUlhTg1NWUDAwMlbYhCgmklHETtdrty2nM0GbFsSBtyGDAKWXUyg/KZYdpReyCthP7NKC3sa9WmTC+q35CujMZKFNLN4IWSgYKIfZ+eD1NR0XhTYepcBrwP01W+EtVWvKBG0Zis3PkcdWpfCXCec0xh4n3qdBZuj4hexJesqgi8lCLidXAMDAzUiiLE37AP1f5JtVapg5dTY9nzi464i4SpipaMaO6IkkVlEted6K0DMz0eKtOGGRkZGRk9h561vHDXNlpeaEFEp3A4lEbMmh4eJInBIKjF8WGxbKYjvcmvGsFyqPS8HmarrBu0tBqNRmntMPWD1ieb776JeXp6uqIZY3vwAar+G5+hiIEluNEVz3rkE0NQ26uznwWtk5TmF1nXWE58FYfStiMa06GoG87Lv0fqFC2SKGhGWWAIZU2wJROVhzX4iNJMadycrj/jc8/zQQsNT+VAS9/MOiw5s06HPlP/aEEoq53bAfsBrRYsv4qA7WbxYrmiACSHOoxY0YbIlihGJOpb/qws6YjlST3DQT3+W7egGf+sAnLqsBt10bPCC18zjZOCw6wjXj7Fl2OEFENNHvS5uYDC6Ee/Dw+oZKrTrDqZnXbjV2h7mZA+xGdVHfhkcPzsCwUKJRScLkhRYHUTXhzeXxRF5UiYbouwpx1x+FhPbJfIh4fP44ZaRdtEk5HLVydSSiklWCavg2oPTqMOBejlUvRX5ONhihbrxgIBaVwc10VRlOMaxxeCT1HHfCKa2+uiaF3MH9vJFZhukZsslFBgYN1ZkVT9EQkXTkuNaeVXwvKzwORnlDLAbgv8HwF/V4JVHXWm1lMc894/uFbj8XgzRaYNMzIyMjJ6Dj1reaHmhVLeTNM8vH+lrsmqjqvx59X7r1xTRK3D3ygavV3U6UhPH4NOMNpwxYoVFashitxB7ZcPCsZ6TE9Pl+VB7WhwcLCi7WF78Rtw3UJst9vlIcEYXeSWhYqaYrAWqjTMlKUSUSLcRhh5yFDaN1sgDKWJ4me1d0qlqdpFfYd0OGvfKn9HFLmITAGOa7ag2NEeBQGwpe9lYWsluuaoWaXN4/zHvDkAhp/HMuOY4vZS9zFFi+OIx2WdiDpeT7geDB6PbMk6mD5PRTVG6avAGq5bFIlpVmWjBgcHy3UGz6TtZh13Q88KLxyIvGilfCLRoEhFvigBGPlefDHwzhoeHi59TO12uyIsVNSf2SqBhZuenXIbHR2tbFhmXwEe4IvgyYsUjac9ODhYmvQoFL1t1HmI/f39ldd++8HAuCnRaUtcxHiztecT+ZkiqoT9GVH0FYKpRkQ04bksOI4ixQCvnbJT/j1OI1KwWABi/0SLnvLp8TO+AGKfRj5BzgcpPJw/GJ3L/lYce0y7qfrj3ESBhVs+GByViP0Y+cmUz0ddoxBI0WqpMHyvP4+xiPLmsRYpDZESE/lFI2U8BeXrw/KjQu9rAyrqqOivs8KLNddumg47LnHyYadhWDj7iHiQYkf5wt9ut63dbpcH446MjFReW+LCi18TgMEgk5OTZWe7heXf8wKIARsY2OH7v1DA+AnzmI8LHNSO2u12xwBV2hYuqGxt4sBlJzxz+F7PCJHlhX6c1GKE5edrzqdO2VKLepQuQy3YddNUlpw/EyloZrFVGS3QKARUSD0uSMh8KOe+n7yBp3+o+qpFVAmvSHlFhYbTrhO4wG3gaXJ9VBtiP0aWTsRA1ClbpKxH96m6Yb4oZPnIMBbUEdvBdcC8MSYBr3EbzUyQfV4ZGRkZGT2HnrW8mD9n/pnBkV+psPWUpqJ4cbS8hoaGKlTh8PBw5XXYaG1hmDqeO4gh7K5N+/fs43ELa3x8XB4AjGeMrVixopLP5ORkSUOi5TU2NlY5pxDPLRwcHKxEmeGBm3z+H7aza+nT09OltcjabmQdRb4Bvq6Dbpw/0mdobXbze6kysJXfzTe1Nj5Zrk+KCovyjOqDc6m/v7/COqDvk+umNHO3vHy8RBRqavMu5xPRbCkKWpWxW2RedNCxsug4/WgLi7c7Wjt1fJd1rLVU3dFq5yjPqCxR/sq36M/xqUe41vn6sU4fzIsTA+kNHIzsH/H70MfDYevMiyuemxdopMkwJJ4DM3Ai8h4YpF6UD4FpQ0Sj0ZALA1Kdvk9M0ZODg4PlHjL0rbnwcwHcarUkRTQxMVEKSRRk3o5qiwFTR3Ud3moB42ei4Am8VmHpypfFiwpTJxGFx33Nodlc7pQgwrpy2HuqrggMvomo8ciHx3QeBzzgYu3jkF9sOTExUbkP2wPpwG60mKpnRPsxnReNMR5TalzxmFAh9PyZg6dUtZ/j2AAAIABJREFU2bkOkaLEVD6/WysVbKTyi2jMlP8Yx55qc/RhoxsBryPf/Joi04YZGRkZGT2HnrW8OOoltdnV//f19VU2y7k1MTw8XAlnR0uJNWZlQaC15oEYHE68JvDXnXg9VcAG0xFY16IoKhoQampuUZlVz2pE0350dLS0wlauXGkjIyOVEH8MUUaHPFKIfs1h6XjILmpxKacw11FZIF6WSMtORX+pII1I43ZEVLJymqeoTSxbiu5mKDYgyoPT5rMiu1mZqh5sHWBAjjrjkjdPo6WAVFIU1q3qpspdt63Vs1EASNQ/3FZoiUWWFb5uKUorRRkr1wHntzZnBqbYBA50U9G+TNfya6rUtqaZvhKlZ4UXIkUzcaN7w7VardIvNXv27DIiEAWZ+3cwKhE5XaT9+B4UGCh8kNqLhA9iYGCgFLIctYcLQlEUZd0mJibKtDCK0RcWf2ZiYqJSbhRe3gajo6OVz+jzUvSTl4X9b2rCMf3lSAkbnkjRIsxl4/TV54hiwjL79yklwqza7k6RKV8D0kqqHdgfE9Uhej4CUz91lL/Ix4N1iE5accWAD7f1/0rZS81rFtoYNcflr9NWPK5UGfAUjtQYVWk7cMsJj1elhKDPm5+LtgSkFBBEXb8qUoCsFKaELvapWkPr5h8h04YZGRkZGT2HnrW8Igerf+Zr1/oUbTgyMmKzZ88ur90i8+hAtbeEzy/kjZ34XhvXVDAiEIMVPBLLNSretOz5t9vtjrcVo7Xjz4yOjkqN3SlIpWXzBlB0urPlxTSLp636xn9TEVt4L++riqyySNv0McBvkPU8lOWnyoPfRwEgaG2x9YvBMClqCINw0ApjOlC9h6ybJh3Vz6+V050tMP8OaSBFn/szOK5xjGI+aI1G2ni3+qVowQjdrEdmZdhqR2sLkbJw1NjFdqtjDXL5FdRpMRwdi/nh9zwvlNXK5cYoXBzvit7uRjnP1PLqaeGFfh1limLn+P2Rz8tpw1mzZlU2FUfCCwc/R0jxJlJc6PDkdSwnbuCcmJgoy4n5NJvNsmy+gCrhhcKHBzK+9woHUkRv+rV/RsEaDT7kxZUgwokUKRqpyeft1C0yLaIXHWqSI/2UEmxR+DN+l+L0FYWofDzKH8fp8GLQrX+4nJGvg4UUK4xYBxw7KnLRx4QKe8d8sJ5KwK7NghfRneyf6eazQqgw9WhMpBRrRVNH7RyVQyHlr1XrJpYtZQywzysSRBG1rgTa2iLThhkZGRkZPYeetbzQ+YsBE0wdoWbBm4lx8zBGG/L+r+gAUAdHpqmABbPO12GjZomWF57/xQEjGIXIGg1qmL6XgiMU8T8iFaGEWpSiw1Ra7KztRit4O/h/1sYdqJnzXjJOK6JomD6LgkZU2aIoMvV8VG5Mp27EVWQ1sGaPgSH8fR0tmeuH/cgRi3iNtCG+Gh7zR2oOmRO27uoE62BZuwVORNYJWoEp6jKKAo0s3IhKVq6OqA7YV5HlhWXg8kSBR5ElzXki+Pno4GZc93C/XyrqdCboWeHFu7aj9xHhAPUNxGarzyA06wyPrxMNw/4mHCx4kgBv1ORoQc+njpmNYaatVqvjGQcuEqOjo5WBUydCitPll3qqSc4LGwpcnMAsJCNhwBw+5oNCv5sfiMuLYHqXf4sELlMf3cqQinZMRdRxGsoHodKLfFPR4sRCVtG6fJJ9o9GoKDRqjCnKTFF4KVotVW4lpL3OON7UfMaydBNe+AwqPih8eYyq0yO4LBENmvIfc3vgPFMHGyjhp3zWCqp98TNS6zwHWGlXwqtb/t3Qs8ILF3IMIiiK1XuccAHyV5OoY5t47xJbGVHwQ+S0Rx8AhwujUOCFv47DF63NoigqPjCVDi5gHOTBaavFMSXAWQuOrAksN4YbR4KUJzVq/djW2L9qMVCLHgcrcJ/is6lFRAVfdPMxKQHcrc8xP1TEotD2SLhj+VT/Kk0dhQ+O3YmJidJP65+RUUj5e7DvlPWIYyVaPLGu/Ly3kzp0mwUmP6OsOjwWC8chWzr9/f2V1wBFliyWBeuWClDCMnHfqaAxTFdZ0spvnyorI7L6MQ0M4oneIDBT4ZV9XhkZGRkZPYeetbz4DELU7FmjMlsdXeiW18jIiLS80OR37UFx8ykrCtOIaBTlM0OLz4EbjlmLxdedDA0Ndbw+3e/zvMbGxjrKg4g0c9ZkIypDpet1w/Kkotu4bfwzU1v+LFp5bGEpfp/zZktDUWZcZi6bag9FFSqtFNuAyxLlgxq30pwjf42aF6ln2FJCiw6jCtnPpcYe54f3IeXF7c5twNaxg32sOF4jy42tPbxPuR4iy4TLyyxENN947ETWUrStgdtX+a25Xmx9dqub/1anDVMWshpn6yxtmFpQcfL4PR6goWhDf8+VP4vmPw+QaLHgya/MZEwLBxX7XnBRjiYzLwr8tlK1r8qpjToHhXpeHjCCi0O0H0aFSEe0AkO1M7aPSi/lf8LFVnHzWOZulJnylUQTNaJko7rz4pYS7KisqUWP00jt21HPqvvU7xyUxONXLahKeEV5o0+Fy6jqjfPSg7fUnI3ovNT8il4yiYI08o1y22CwE9OGvH8Kr6NTOSJFEhFRx36txqSP/UgJUs8oqj9F0XJZ1gaZNszIyMjI6Dn0rOWltGGzTovMIxLb7baNjIyUbzhGywvfnsx0CGqIkdagrCOl2bEFwNGFSuvmSD/UqtGBjJp5q9WqWF6olaJzna2liGKKNFnMny0V1DwRqfDcyMLFPsUgjUhr5LSZRlX3ptJRtImyCuuk5Z85mtOvI0qU+1pRiAx+R5Pqq7pOer43Sg/HCkfAeZn8mcgKqxuEo/JRh2lHFJ4aE/5ZWcM8R3kMrElbTk9PV04cwfTqUNkOvC/adpFiCZRV6uB+4PJMT3eedoPjIDrPcKYWl6NnhZeijPw/NpRTaX6KBtKGvmcKo7f4pAuMnuIFNrqOFjruaMyT64bXit5DXxw/wy9/RAqQw/VV6D5HBNXlsiP/CE/AqK0UfcO/oSBLCUlG6ndMO7qPx1okOFMLGNK1qCCpI8N4oeQ6pBYA5bOKhAX7IuoswL7QMSXtebIg4XKZdUbuIb2oqHX+ja/xFBx8LqJieb9RtIWDx3jUB9jW2Ab4fLe6paJvVdnMqoJTjQnVnyofRZlHwh3BkZiKKozKn2nDjIyMjIx1Dj1reaWi+Fy7GRgYqEQX8qG7bnk1GqvfQsx5oGbs95rF9IgKHmEnLafFUJFqXh7U4iKnN2qig4ODlTLjHrTo9I/UZubIGuB0I+uNgz+c1lX1jahXh3JyRzRK5GTm/xiVGFkjbBmnrCWE/4YHNOPbhbF//VpZUVhmTDc1vvr6Vu/L4jHDdKUKdEnRUkwlq1e+ez4q6hPbXb1eiCNfPR+cf6mgKozixfGO7AC2gQr+YuDcU0xLFGzClhfvaeuWL/d7KgoW71c0Mc8PtrywTyO6HfszarcUKzMT9LTwUosL+rkGBwc7hJcKj2dagRdk5T9C2o4XuhTVpgSZ56k6n6koLqtaxPB7XDwGBgYqgweFF54EgtdKKCi/AUcx8qRSbeXl8fZInTjiiELTvSyK+uRJGi0o/jtfp8LruT2jxQR/44OPVfQnL0zs88LyYBuy3wH9Mty++Lzy26jN5ghFBfN77tj3hFtSlMLJyg0Lxjoh9dg/SNHiyTcoyFwR9DZAX1Qd5ZP7hUP/HSoCT61hkUskBVYGeEyotFKUqNfD066jaGNefNC3OvR7pqHymTbMyMjIyOg59KzlxZoCam64cZf3dTlVyNqVcqa7tqwsr8isZ8uLo2vqOMQRqWAJ/h9ZKmh9sdWADlcVEaTeG6byVO3m90QaJgfXcP2Uc5w1cYdbdFhu1L5V23k9lQbfaDQ6NHN8Hi28iC7FunJghr8SJ1VORLSvy8tgtpo+48AgT1tp4N6fymqPghA4DbYulHXEaaSsLe5rFeSgrEdvC8WeeBug9RtFEXpeqsxR/3ajB/kezreOdaWibDkwiuHlV+lHdeHvUgEjCG5ffP2Terv2mq6FjJ4VXmZVgYU+Hhde7Xa747T46AxDPAGZB3tE4aUGpVpsI766WyeuqdnPkWDRwhf5MXDCK9+aoswU7aDKiWVD6hUXE78Pyx8tJngPvqsMFxo8ny6FaAFQdUafVSS02V+E/hafzKwcRRQp+nVYEHk+LgTYl+P54OZ7fJbHC45d/17Rltz+WFe8z6+ZXnR6H8/l47HK/Y1CVwki7wMlmFJ9i+nhYs/zV60Ffo338YkfmJeXK6KCsZ1UO2P/onKCYyflN8Q8lYLInzGfSIH3MeR9Pz4+bmNjY2a26nBwJbzWWZ9Xo7F6XxOeMD84OFhaV61Wq7x2R7DyAeCpx7wPqpsTnoGWjKcR+blwEWftN6ozIvK94PdK8ClhykEn6JuooyEVxeqTANgfyHkpv4qqP2uzfM1p8sTGBVX5r1QdlIWIizsLr+np1a9+YEHEz6C1pfwBnC+OcbPVC1K0cHMADJ7ogIsW14f7t1tQhC9mkZBE65fTUpZc9CYHFni8iKasq26WPr52yBdkNcbQhxflr4JrVAAJt3PU1ziXFYujxgG2rc8FTDeyprm+3RCtB6ygjY2Nla9lGhsbKwUZvoQ32p9YF9nnlZGRkZHRc+hZywtpBzzXD60tfJEkWwJFUVRoHBX95RocajRouUW+ErOq/0JREJ5et2tG5KuItE0E+58YkcbN2l5EX+HzyiLEe/y3VJ1T4c8Mz0dpv5gWt1OKhmXaz6+ZlkILOvW9shQU5eXl520BeB+OQ0W5eRopyhnbDdsJLXAFzodZBAezDvzaDi4rg61ljEiN5q+iQLF9lHWD6fN9eAB4tPnZ/b0RNY2WNbMjOF4V7chtxH2KlHHkt4yin6PvVR5qvLAFj9GcaG2NjY1VaHLFRK0Nelp44VuRlfDiHf7YuGZWGfyK7uEBhoMz5Yj1Zx3YWakwbyXAImcp+yp4QY/KlKIu8FmkTaKFHNsTKTvlC1PlTFGlLHyiNogUDbMq799t8nF5Il+Jaj/uk6gNeLF08HFkmDYqQ7xniq+dvotonYhyw99Q8fA0/XuGWkSxT/A5z8MVzkhR4LRwIWWFQPkaU4IoUoJUmykKnfdwYv5IkSqaWV2zwIr6ABEJHBReyo/FSi/W339XwTSq3Ni/uG7ieoA+r/Hx8Yorhg2KtUWmDTMyMjIyeg49a3m1Wq0yqhCtraGhoUoUk8O1AtRK1JlyZvGudLwnivjya5UeWgApk7mOdbS21lqUNlMYHNGntHZ81xifjcgapgomidqJaQsGa3uYp6I+uZ+Y7mELydOLNFRElLbSuFP96Pcx9YTavP8WnReIbcNlQ7rGP/P9ZtU5g9Yvti2nHVkDmE83ikhZkpwXB50oC8PLgsEgSAEiHc5pKUubaVTVBvwfAxeYqWBqT21r4MCQyApjGhPTiZ7h8aZYIXUmJdYBrV+85sA3v8b7PC/PZyboWeGFPi+MNmw2mxWawBvNBRR2llpQo+gmB3YC0jX4Oy5inpf/pnxHLIgiClAJyIh2U2VWZVP1UpMK66i4faZ3IpqByxwJ39RiiJMP6YhoQeUoU0wryie1aNTxB/A+IkVxcnuoBVQpBNFJHji+8TtVV04ftyygwFJlYwHBc8aBfeD0naKmeOxwGRUin6Zfo/BCZVZRVj5G0Q+p8uZxyfO6W1srBYZ9UwylbEZjVkU4Yx1VefhZv0ZBjWuVWadf02x11CwKL3XaDQvJmSDThhkZGRkZPYeetrzQnO+2kdGvVeQfWx1sSqc0migfRU+yphFZRFwepZEpqgPrEznTI82WrVKHt5Oqd4pqiRzTrNlj/hHtGdUBqUp27tdFisaM7o8CB1DzRE2e02YNPAr8wbpOTk7KjdqenqOvr6+ywdwxNTWVjPTDjaPYvoom8/5VlhPvS+LAB6Tw1Jxlipnzjah6LCNHy6o82RrHPXFmVqH9HExTRlaU2puF7ebgA4UdeF83CrAbVGRot3vd8lKHBuMaWBTViE88SSOiCvv6+qRbZ23Qs8ILBxpH7TiQqvHfuvlE+B6kA3ggpQSZ4uOjzahmnRSNCjtXIehReC7WjWkCtVjzQIvoDL6PQ+qxDTxP7h9FfzENxmVTPpGonfl5pi2Zv1c0CoKpSoyqmpiYkFFVHDnIdcMy83jDdmOfAtfBn0PgePMyREcEeR+qja/cbpwH0krd6uOCSymcHHXGnzE9Nc95fPHcxjGqhIWPychHGo1DvIepYBRYqHQwNa7mD5YPy5WiDBEqEjqaw5gflxnHBLtfzDoP9sa3JaCQ4432LrxmGiqfacOMjIyMjJ5Dz1perEmg1oNHNDGloiwN1mZYA0HHv3o+0sj4PjOrUDpMLSorArVVNt9V9JI/m4ryqkOTpagsdR1ROh6VqaiTvr6+ihWkLEOva0SDRho4l08FkPBRQlx/ldbk5KSNjo7Kc9tQ84yiBjntRmP1sUCNRqMSgMLlx424yoJQ+2aUZYv5q8N2kU5DK4ypNKbXua6ovfs4jg7mjViQtWFLUvRxNI74PzMcKk9MJ2IxsH95jYjoRU5D5c/3KXcH5qHSwPWQLWFMI3JDqDNheS+sWfUdbWyNzwQ9K7yiRXV6errjNA3/nQePGji4aPBE4fBRtTC48IwGovJ7+MKA96mFSAkvnDBqYqfw/9l7t+04bqRpG5TI3lAby2PPvN/939+MbYlkd5MU+R9oRempYCSqJc5/UGPkWlpqdldhD2RmZAColFdq2ypew3dSvvo+QYo8MJdn/Hm7VjGAtIBVcGmKkznsmOouITxyOp3a3d1da621w+EwKTL2R1LYhI8kDqnwfMiqrBxfzgo7R3xhYpkU/5FocWLsSM8nCNAXbldW5ygfhx0raK163+dexeb0+bfE7FwKGTBPiRsX1brg9eH75/ZvgmuVJ9c0PcfxSjhPbZ7q6MZfuh9N+VSxvv8WbLhq5VVVvopRcSBX1ohbUNWEYyf6QslFmfmwbCyLYhPJe6vqKSWSFksuGj5wXeFVE9LbLSmCytt074qWm6eV6uaK3L3n1Db6nOpQLUZV+dP7PHD07u6u3dzctNa+eV7JI+KCrnJzMleeLcfEw8PDzMp1corn45Z/NT/cU3LDI7ULjRaNryp+lYyLnkfkiz0VnlvtHEcUN0TTPHPv0b3x6sSOdPqO12/JePPnvU29PdI77uFVkjyv9JuPz+okkUph8RBzzdk09ujhMd8R8xoyZMiQIX87Wa3n1cOLK+uOFplDPLSymQf/r/BixmTc00helz6fC/NUcTaWqYohUGhBenrpb33HtjrH80pQXNUniQXlkKjTc1lnSbLsU5kTfFzVQe3ldxPpX2vfYENZn4xvuKfl1rDEoSRnVSbGn28SdSissn49nda+b10g5JPEy+yeStqAzfc8fuzeUfLG1Yb8u/LIJe6Z+VaGVM4lzyu1e9U2KsMSdK86VzHryltj3RyCT5KQm5RmGp+OArQ2P2T3/v5+tjWkiqs61P/f8rxWq7y8cdKC5tJTHmlBd1jLY2MJP1cZErxQ0fb1vufF/5fagG6/wyu+IJ6jNF3JVzAKn68mWjUxfaGtoB/m5fnQsPB3EtzTqzvr6UfdSFlJcUmZ8SQBP5WkWrj5rLcZ26CCrFkPKnbvF4+HpRiEPnPBSoZCT+G78ukprwQBOimCMB/L6nMzneDgzxIqrOasylyRh5agPUllTFftVB1LV8HKGp9p/rlB4wpIQlhWf3s+So9Q+eFwaK19M9b0mfPg/v5+lldFwqEsKfglGbDhkCFDhgxZnaza8/JgvX92K7JnRSXLXGnRSuU7CVpIcF7yIDx/pSNJHmR6l4H7BEt52XpwZRUMd8JDgnv4Xg/eTB5nytPTTmxDl55lXTFD+T+JGdx87HR4h0skrJuTGJK3uCTuWVfWdBo/+j6VIUFJS/k76+9cy1rPaJMy0QGJs9E8DX5WXf3sSIeF6UGnMZHIE1V6S3U710t2786htgTzJhi5OjMwtZkQnQp2T/UTKYPQ+O3tbWuttZubm4msdHd3N3lhgmRT6MLnRdUHPyqrVV6ttdhQPogqnNoXzvRZEEYalD2ohM/6osVFmIs4xSdyxYpM8Z1Un6RkvZwu/n51qGyVf4+JmCZzlW4qV7VY8zs/OqpKk78R2/c4l5+i4fh+ay/vfqqgwZ5U/UO4h+2b+j2NF0+zUkQ+f5SGH4Ttp2WkdzwOyzQqAyvFTdJiV8GBUgjppBNfuL0M1Txh/3o7sj0rqI95VMqrWif4OVH6k9JyhechlqqvVVYZbtoOcnt7O1Ne+sxtImpnh4n1OR3RdU74oicDNhwyZMiQIauT1XpeFbvOz9ijVN5A5XnJaum9l/JxqMP/Vvnd6kqkkx7U6VYXTxahN1FtyqW16Gk7QaPnvbkkqDKlrWerdFPZHAr2tMiQSjCQ6q30mYZ7XoIKuQHTDxwle6oHFfYkwdwaNxzXiVnWI1JUhJ4EARLOo8fI53R/nq4g4gGrqQ2WYEN6VMlL1thjm5CI4R6J3md/cfxXnobeS9Cyey1VO7sk5IN184ObmU41RwTnVTAox5HD48mT5NhV+q1987wOh8MMHkxQ4fF4nLUzheP/8vJyGjusz2tltcrLB1UVU6mkWoT9+yWWVVW2ijn4ozivD2QvW6JAM48Eh6QyVLEkh3N6E1vPUjGnieTlY9mYdiUVbFgtaEzbjRFCl4+Pj5EG7BuEK/jJoSNfHAnrpGOSPPbjC7kf2pvyYdv1YnDM0++84pjiO4QNN5vNtCBVp8Wn+7uYb4KdezFJ/24JvvY2qNaMJWNs6R0fEy5J4XrZk4HbWoZEPc7aE82DZHz5esStIR7n4okymiPcpJyOQ1O7U3HxAIcBGw4ZMmTIkL+drNbzai1bmG5NOOMlBUIptKDOIRC8Rn40/RSoT55XFYgmfKLnk8XXs+a8bROZJW2s7cGIKY8eA60H4ybChnt//g7hEsKG1cbbCgr2QH2VJyEVh+nYhw6TLRGHEtSYCCQeQK88J9aTaaV3eC5e8iqd1ODEndSGS3Bcmj/KJ7Wpysf29TRTetW8SPBdeq4a4/w/tZXycM/N57G/wzy/fv06Ix/x2p4KNr2/v2/H43HyvO7u7ibm4el0mnlbPeQk7Serblj+GVmt8vLBWw0khxCXoAJfDCoIsYoXMQ99XoITzon1eNm0IKf4Bw9Q5eKc4mfVxHTafVJ4vkjwXaZbHW7aw+KZJ+v2M1LF4BQfIVxCDN8PClbZqsXJYxp+kDPHXrWgShy+owJeGnseZ2rt5cneVDxcOD3fHuSW4EHmmej0FWTdg0GXYENPy8977I2xcySVzfu6mldsS/79/Pw8o433+tQlKTk3DKggFMNqbQ77+Sk2+vz4+DjbmOxbRdK6K6mg4KUTXH5GVqu8Eu20tZc3zvrgqSy7c+JSPqnT+1qkKpzcrWb937Psvd78P20F8NuK3Tpi4L/npeq7y8vLWRqJDpu8Bn12uu85HmcV51t6j5Ims3tnxO2pvHpHHnlZ3KDwPKty6TkqDp4qX3lYjOclQ4lxKveW9BwVmXtL1VFDVZzG80mem9fhXO+mMlJ9XHt7VvMszaunp6cXJ+afM8YqQ6xCf5ykxXwqRUThWNHfqX9bay+Ulzyvw+EweVEkf7A+mhckLKWxfHHx/Tg01d8NPa9bNQZ+RkbMa8iQIUOGrE7+Jzyvh4eHCJ9VsJaeqeAIilthVZytkiUPqnqniqO4FUdriZKsVXfdWS+3PB0a5N+Vl1rFLeiFOKSRyqJ3lrYoUNRPS9400xVsyDhXRf11WDrBLaybY/7sO0K5rCNhNlnStLTT2XtMQ+2WYl7uebmVX7XbOdaxe3vVqR7pPbVHD5FICAWvi2HbqiwJcu55fiqv1/tc7yqNeaWZ6PmJcZfayuP0vf4lG9W9dHlRx+NxggPd86L0NnezvD0Ine1arWevkdUqL79Xhhg3MXd2PIUdTAjCIbwK3nDaL58/J4aVFuekGFUPltvrpnwrCi3r1oPj0tE9qjNhSMrSAEzQLds9Ped9Rqiyot33FiVXAF6eRJWv6pmUV6qD9/nFxZyi73CLxMkOqR89XfY7FZ4vdCm25sqrIlWwTj4muDg5Db9a3Pi5MvASFMVFP413la2CBxPU6Gk4mYRlTqQI71tv96S8lFcqT2WEuVJ20gzTVHqCDKstIL04KuuQ6u/ziHJOGOS1hI0BGw4ZMmTIkNXJqj0vwoaJWpoYWhUbprK0XJZgshTUrryBBGW5VF7L8/PzbMOfW6fVKQwsC6FXWkc9j2apfVhH5rlkZSVor7LWWLYK1vG6OjTE7zgOCM1J3BL3d1I+fMa9AXpLfo+UX2uTyuvWL6nPfGcJ4kni3mN1fYYjD4nwkYgTbLel8qRxkzzennh4gZ6bz8UexMm89UzFJnVYtoIwOa58DajGbgUb0vt7enp6cZA0r/AhKamCPknS4m8+L3rrk8Od3gZ/W6o8YxWEDX2ynEMvrha8nlTYrcNK/izjHn5A5dI7rbUZru3KJ9XJ4TiP+aR4WIKrzjlAtzf5k0FRSYIaWX/W2ZVqtbcrxXEEu6S+7MGTHjtJsQHvvypG8vDwMC1Aj4+P034p1ZXpJRbt8XicwUAsgxs0KQZBSNbLdnV1Fcfh1dXVizFyzsLPccQ4lf72z9X2ipSn589xnfbuMf+lU/LTmuB5+t89SM3T8TzYJxcX8wtOq5gix75fHknYsIpzudHRWouGrRvj59RHddL/LOdrZMCGQ4YMGTJkdbJaz8vdX7LZpP2550sWaeUmV9+dA7U4HFIF8av9J719RFX55IpzX1B6LlmEVZBY7ZlcfHo01f6l3v66ihyTyuwB654Vy7T8bMMUaPf+8ENpK4+6EnpehAOZlo+9qt5v3ry8OkJtut1uZ0QkPsd9O347b7JuHTLzMZvgQJbf9weyDSoI3se9Oi+KAAAgAElEQVSckw+YVk+qOVuRpqpDerm3q+cp9cg5PherMbvEdkzvpD7QmOC1MkqHNxn7XVzcZMz2cG8rETQkiS1ctZfqrM/OjlW7q0w/K6tVXqfTqe12u9bafFBeXl6WEERiWUkqpVIxrvicT96KeZSgBkqKkxHLpuj9iv3keD6fSWX1WKE/n07pcJisOrbG24q/naMgqno61ML/K2VOcQOA7C22jY+TKn7UGwdelqTAEzswHe/kB+nqGd2vRIXF8vDEEC6OSt/brTK89JnQXIrxeDs5pJkW6zQmktJPfcJ8eqxar89SnyZl3AtDqH6efzXfWH+VR3/7PWo8KaW1uXGiz6TD62gnKq8KBvUxwfIzXJHaxmNihDHdGFVZeGDvz8iADYcMGTJkyOpktZ4XD1H1DXU9SZakQzruuaXAP/NyllrlXfTKlphVvTydrVS945Yw8/EDdJPLr+eT9cny9AL1biWTQFJBab22IukleUcpjSo997xk5ToRw9ud4+ic8cH/W2szyDu93/MKGcSv4Dfll8gbrJvmQTo+K5WH3+mdt2/fzqCoCl1geRwdYHlcqvlzDqTPNJ25ye/PJVhUUo0vjp10xucSVMh70zabzYxEw2PCCBXe3d3Nbjt2z4tt0FtznATjdU1Qs8QhfAk97r81bJjO3vLO8MmXBqwrmB7zh8J3XHlxgCUYhTCOBmGCGlJ8gf+zfr16s569Bdbr6fk4rLMUN6wmgMqW6tzD1D0fKsLecxRvQ0I06dI89pXKx3HE9kh3ZimNBBlVY1d1SydkeJzO66X6VmwuN1Scrp/6twcHsm5sm2pM+mefl1V/+WeWrVJwVARKP71fKcIK6k9lrMqZjCDPl+Vk/0ph6TPryk31h8OhffnypbXW2pcvX2aXR5KRKuPLpWc8prqcIyn+zPEh+v7PymqVF2+69f0b1QD3SZ+CqkqDUlmSKU8tTMw3LcZ+QogrL2LM1fUOqYySSuF6Glw0aElzYe9ZlT8qPWu5MiCW3tPvvgguKVn3MhgvpTficQWPPzHtisbsCwAndqLa+3itLoykstX7jF8lhUmL3ctXzR/WWeVLY8zjfsnLdvHnPN0l5eVt68eZ8flzxqznUSlt799zPH2uJT5ek6Giiz/1TGttRv3XJZFfvnxpnz9/bq219ueff06fb29v2+l0mo3rXj/wmURv53NeLzdIKHyfNP7XyIh5DRkyZMiQ1clqPS8/sj/dvZQsG0JEtJxo/bq1WnleFZzglmCKO9D6VfmT9+cWjFulP4LV92JviZX4I2n2KPAuVZzL4ZVzPCdPd6k9np+fZxCKS3Wdh6eR6PGt5Ziqx7zozdKq5UkxokSTaUbYkP2v73e7XXvz5s1kqbvnxfiI2kAwTsUqZJ6kaPdgv+SRyaNKY7xKK/VB9Q5hdvZDNWc9jlul7bG5ngf/o3A668r+5SG72hAueXx8nGJbNzc37a+//mqttfbHH3+0//znP6211v7666/J8zoejzNvtncNEsXj+GSWJpicHr/S1d8OX1eHX/+orFZ5MVbAhb8aRBoohA0TVOL4v55VWkv4t773iSup8qmo1WmgeN3Ss1WcrEe+6C0alSQoyo0BL3Ol3EjEOAeD93w4gbytGCeQqM2r8cKT9quycEGuDJ0eZMb2YOxUB6omSjwXMxpholEvQYUeL9a7areUJ2MvHs9zkkalCCmVsdNTFg7zc7xyqwwhTp8HaUFOY4CLfdoLxX5T/55j2FIcfmb/pnVKpAzFs/7888/2xx9/tNa+Ka8///yztfZNeQlOvL+/fxE7pQHP+nD+pZi86qp2S2mldY9jkvGvccLGkCFDhgz528lqPS/3XCqLStKDnfg+IUhBKhXMxrR75xRWXkNVNicSJCisgt5Sng6JJg+vsp4ri9LT5vdOBjhH3EKtPGO32PlM5RmznA7dsu97HmHl9boF7r+zLKl9nSrP8pL+TCiJZeXJG3omjXUShGjxq68IPQp23G63bbvdTp9JHHDCk7dXagcfk+cyHCtoi2fvudeeCEdOLXdvgPkStkt1cY+b4t5jmkv6PrFT2c/uMRMq/M9//tP+/e9/t9a+eWFiG2qzOsuWylO1reYYocKKzc328DGhcnMrBYkgP0P4oqxWeXGB5wLESeGLG/+v3GLvKMIT57KJfJJVi78/l+J2XudKXOFRuHBXyqsX36me80WjWsy4MHga1fsOCaaDgdOilyYmYTsfEw45V4aC3mcMSP9XhwH7+5Xyqk4i4Bi9v78v43FcmHgCg8Ns6eR3V16bzabt9/vW2jdFJuW12+1esB3PiS9yvnnbJ4OTonKmxd/HJY1H5kPjgrE+fvbYNpl/bgxXcGQ1Dvmsw6hVnNmhNSmiu7u79vnz5wkq/Pe//z1BhZ8/f56gwtPpNDMqPUZaGaY+32jQc4xXMTOHkqvbBby+PysDNhwyZMiQIauT1XpeHmSVVBBTsoqTW+xeHD2CijzhFmUVgHbrhOwzyjmBTFpp/p17iL6niFapB2lVnmqjsHs3S9ZT7/eqbUh0aO1be1QQoMOrSx4k65lYgHyf+6V48zEhI9YhnSnIulWkBu7pSxay0pYF7m3laS1BRAzgO2Fju91OZ4budrvp83a7fUHYSJCTk58cIqrGKOcsPWY+2yMRVXOO6YgE09r8RmGVM5E0NpvNrI0StJegOfcE9bt/n2B3eqWn02k6p1AsQrEK//zzzwlCvLm5mUg49CJFBEmHTzMfipAoZ0NL0prhyE+FAv03ZbXKq7WMp3NBIxyoSZ0WMYdunIWUMFoOkArWUhk5kAg7VIsmf/N6+qBwWEbfpe8dunEYJsEWPrgJ4/hESKxK5XsO5OUTOfUvFau3tUO8CXZMMVGyCtOCTLaU3lsyGjwW5lBLiplxTGmhS8YOT1bww3vZvsyXC6czKfnbZrOZQYX6vNlsXuSzxOhLi1syZqpNxd6+1XceRyHc6u1WbRdIxkZr35Qc4dIEyUqScUAY15mLlZJlfPJwOExHPX3+/Ln9+eefkVV4PB5ncSU/XiqxF6v5qnWzOvghxZy9Dc+Jk71WBmw4ZMiQIUNWJ6v1vNzyoQXAQCOPVHFSQIKfKsittfl+Eocw3LtJFq8frkpP4+npqWQ2pXxSuSsWXrK0PA+H4HrQXIKi/J0qzx8RtmH6TC9MbZ48Vve86MXRA+ndMcW6OZsywYG9ertXV3miXm/mSbIRWYQV6cUhL4cd03FEm81m+uxnK7LcPo56MB9JERWJJo1j/b0kTthQmdRWldeQIE7WNbUbhXOB3rBvPuYz3m5ct0jS0L6uz58/T/9a+3b0k9io3DzMvXrKn+PckYckzrp2T9fLrO/ZpiSgpb7rwcDnyGqVl09mdogmsy9EPbYQ002T0p/jouW/8V0uaNXg1zMJT/f8OcEcGqmgwkqqmBUHpcMBhLw4GdkGPqj52znSe9aVZxXH9ImUJp/6Q387U49jys85TBf68XuWJZUzGTcVFKc00mLPK98TNE6DKMFagsLSGYpsD1deHvNi+/YW+PSZbeVjj33Xm2MSjyX5ewnyVvl7MKLeqergsKyUPk9J8bABx4WfdUrlJdjwy5cv7cuXL7MT4/WO183PSaRRVYUE2F4VA9T7tApjuAHhsHlK60flf0J50RrWjnJ/prVvliStE6bFzvXPKTjvwVcKPbyKUpziMFVgN3lXeqeKLzAfj3GlRZDv+b45f4Y063RosC84Ht/zdlBbu1VcxZIS2WFJWaYFTOlVnrGEC4vS4qRNxoYrcMafaPh4zIp103sp7dRXpH7rN75fnbLgSjudKMEyyRuplBf7Ohlu+i3Fe0jO8UWU7dajX2t/pksiWegzPRcePeeeRSLKaE7RQ9P7rrx4xBbrzTxPp9OkvBjzOhwO7e7ubvqNB5KzPapDfpVf2tqxZIyzPX3t5Du9OK/Kk9L5GRkxryFDhgwZsjpZrefV2txTqHB/ycXFxcyqc4gmQRCC1ZIlSiy8tf7O8xR7obcoC6piGLK+DqmkOFMFb+qz6lDh1RVG7W2V2jlJKkMSj7OlMrj1fY4QHnWr0S3mdH6gx/Vo2V9eXkaWF59hjED/p3FEj8gt8yomydiC/qbVTdSAG5EdCqso4BXcyhiaxxr1ObVn8pzcG2A6Xm9KGkeOPlTen+dPz5psTp7E4fXwdSFtXK/mqPLWc/f395NHdTwep1gWKf2K2zONhEIQntRnjn96uQle5RzXO2zzlKfep9edvPGlNe5HZNXKi53AOFeKN/nxOvpd70g4OBwWdNe8or37YE9KwfdR+MCulFcvyFzFBry+zOeceIJDJNXO+dQGnr5PPq8f65ae6ynPqt4JGq3qmvLxunEBqOBJh99am8fJJB7D42Lfi1dyTDEw/vbt22kuXF1dzcoj2jshHYcGHRJlfNNhqUQC4Gc3Wpgex57Tsh3WStBnNXZSv1SQldIQ/M2yumHp9aFhwH5T2Qjn6TPHjRRKMkLSdg69c3V1NSONJePEYUMqLzdSqz2lPreS0V85CkpbZbu8vHwRM9b3r5EBGw4ZMmTIkNXJaj0vWqZ082lJ0jpKv6UNhxVU1dpLqDGRMhzy8iAmLZDqXhv3EBOpIeUjcau0cs/dyk7v0MpSXZcCrZUHpHK7V5fKSQu8Ig74+5X32IMqfbPxkvcq61nvcRyxLa+urqKn1UvbvbAK4q3qIEuaFi1PBmEd2K/uYSaP1zdyk3zgdZc48cg9fV6hU52j5x5UIkwkpm1CMTh2me52u52dHXmOJ8rPas+ESHif+nySEO71PnRCkX7TDexeHqfnM62vX7/Oyladp1rNF3pbieBET5JICvOsyFs/KqtVXq3Ve7vUoK642NhOW2Wavrh6bIi/+WdJYgj6HWSEI7wcXsck1cKf6nSOJIabx0Q4Ac9Z9LRgVVBlUroJqnRlmt6pFLHgNP7t5VN5CMMo/7SA+vFKXjZv82R4MD2vjxZAwn5SFt5uFV1Z77X2kgJPKrcbgmkvI5m6UkpcuBL8xD5xOI/sPhoDialKKDVBgHpP7zjTjeVhW/v2ALZPgljZJq4gfFtBYrD6vjn+zzzY14pzqY6k0fspIayX7/Oi0iY7NUGVqrfE48xpD5vCI1ReaRz1Ypg/KgM2HDJkyJAhq5PVel6JAdbaHI5zD8J3ntOyp7XnFj8t8CVX1wPUDIp6UNa9jmqDavJOfsTlrjwdipNRmF/F2PJ6JshtyUugOLyTPC8SB9zSYz96uiwbvabqnV5bsawMhrN+CVZO3loFz8jjSGQSlU//Vx48D9bd7/ft+vq6tdbau3fvpmtPaOF7evQ6nJnmnvE55A1ChSyvW+MOx0mcJMV0enOmIgs5AYVnOrIfU3+9fft25kVVe+XoBbnnRVYiPb90aLA++34w3oidvHTlmU72IdGNnpLW00Qa8bRJEnH4N/WFH7L9GvmfUV7s4IqW6RtCU+wmQUe+OOi3tFhrET8XKmTZkjLV3/qfkyfBTSyH10eTnOk5NdtlCcpk3CLh3a4E/HMVQ/DvUznT+0uK2o0Ej6ukei/9LvHYS3Uwac/w8AWVJ7lXcC37gAbWbrdr7969a6219vHjx/b+/fvW2lx5vX37dmbwufKiseXQXlIErB/7xxVUFV90xiXrm5iR/r2/w+fYJz7HaNju9/sZPJhOsWB/SHFVW2oIG/IzFQFjXjzJ3m+8eHh4iJueCS/SmJBS9s3RSi+dHK/PydBm2lS4gg2TYcl5cXl5uRhXPlcGbDhkyJAhQ1Yn/xOeV2vfA5Zk0BDqkFVQ7fuidebMGFqPyYtwmMT3XyWPpLWX8EgVZObnClqkVDCdQ1DO3nLIM5WBFrN7vPQqPY0laO1cr9I9bidVuHWfPnv9q+eq73wPFi1MetkMtCcShZcnBe0F+xFy8j1Jnic9L0GFHz9+bB8+fGitffMslJYTXdxjTJa5LPaKOcd6Vda1IxzVXPT2SpZ9Gh/unarcFZxIj2+3203l2W63cZ8Xy6zx6kxR/cbnEltZ7xBqTAcv+7FXLMPV1VXcD3d5edk2m83Mg2e7pHwEJ4oY4gzBtJ9M8yh5ucyT8+21ntdqlRfxYk7g1r4P4Pv7+xkm7M9UFHlv3LTwJqhQn509VdGIfbBXUFWCDRP0xMm8pAj9Of9cDaxUV9XznEHJAe6KI0GIqa6VgqoUOhc6ShVPSmmzblSaTNcXmgRbe52YFseEx2Gur69nF0OyzGSPcYHdbrcTPMj3GZ9Rf6aYMdNifESnQSSY12FqbzdXGN42aXFLUDDHHtN6fn5+YQjqHY+3ePqk/nv78DmJw+9pPHlZnIGX+p6xTh/7vv2HseDEYE1MSNZff3/9+nV65uHhYVZmbtR2SNI31XM9SOOdfdjb/nGOrFZ5cYF1K1dyeXk5O2blnCOYKMR5kyTvKnle1QKbrMT0Dt/txWK4IKbB7/Xp1d8njS9Cyicpc1dCPW+oamNae71YSeqD9By/9z6o4npcDLhoVrT7anGVxV0ZHHyOyouU7d1uN3lOu91utn+Lyot7aqj8ttvtrNw0rpzkxLmUlNfpdHqxl6way6ld9VxSfu4Fprnlnznf0rivxl8ql+rD7ysko5JqTLE9ZbRUp1Uko1J/c4xU+XtsrtrDVhmM+p1ppvwdOUmeKddqjq+lsbIkI+Y1ZMiQIUNWJ6v1vGh5+eGZtGTleemagUSjd5jMLfvkRfH79Dl5JJSE8S/FXigVFMY6tfbSCjzH8uxZRF7XJa9SFmaKT/TEreXKy63q4H3Vk2R90iolBHJxcTGzoFkexv3cM+HWDDJYiRpcXFzMYhPcTLzb7WYQINPndUB+KaEzK/m8Pus91aEa7zzv73Q6zeC2Kq7jHoRDbXqH7c9+rJirTu1mG1aeT29eJkg9fZ/gr9748ufc60iHJlThDP/b65lixvq8FEZgnE1nYqbDGVjmFAtP64HH9qrzFH9UVqu8eCQUJx8hHsKGx+Nxtn/i8fFxWigqd7lHvnDYwgdo6kSfpMyvGqQ/uyAzn6p+vjCkgLMk1Zvl4QAlDOSLPRenqlx6Zgke7LUb06+UZzX59RvLUylfL09S4CJb8JQDKgJSsamsttvtDDbUZ1KumY+EZU0xSYfcedKCt19S0g8PD7P9bc/Pz7O5VCkllo0GgcNyvbFdQYhV/MnnT2X4UHyxrYybXhlpvCWDV2OF5UkniSwZwpUx4LT91I98n0SM1uaUdj7nnzkGeuESPs+x9xoZsOGQIUOGDFmdrNbzIpNQZIzW5tbm5eXl9MzxeGyn0ymywSoihKyECh6k5ddjwFVQWYJD9M7S5yRV0Jx/s9ytzQkubDdadM4iWvI0KsvX//Y2d+s8eZ89qaAgWqJLaZ3T9vTKuNHUP8uL2m6306ZU1Y+nJNDr0fuCCckw5OZUEjacZcYxqnI/PDxEEsPT01N5ZxU/01sjq1K/0YJPXpgjBm7Z+wHJbGe+ew7s3Jtz53hezIdelI/XHgSZ1oPkLaZDC3T4c8qnGr9sa6ft+3wkHJ7g0XRVCVGm9L3QhKWzEp+fn2f3k71GVqu8eGEb93OxE7hXQfReUucZG+Pkcxp0gq961PBqjxKlUopeHqbHgadFKk2snvJyKEjiE5bPVywvL1sSX0h6Zatifl7mBIF4X6T2c0kQ7znlpDhcyn03UjyC/JTG4+Pj7OJBHs3EUx4qervX1+ueoGVf+D12xHZLe5FYT72j7/wUdLaZw8WEts4xSnxMcD+nx9P4fdqK4AvvOTHjnrL0sXcOtOafWc4qxnRunK6qR1UuZyt6m7HveV9iMtqdtdqLVXLsv0YGbDhkyJAhQ1Ynq/W8GGQm7EGLjAQNsQ3TdQK+KZAbFJMn5uIWZkUKqCCAxMpJngOtyN7z7k1UBIkeUYVl9vMiU8CXdaPly3RTnlX5z/F83Ht1yzrBmA7pnEt8cYgrwU9kB+73++lcQZ5o0dq3cclTCtLtsjodgydsuPejcvUs8god6DFG2VaVt0fIidY4WYBps7B7SHqOUtXn+fn7ptqK2KF0E5JSzeVqflTl0Xdsj54X5GiJPlcogpflHI+L45qwtspZrU9VmiSQkL1IlmkKJ3BcVuS2vz1sSOVDCJAT/PLycuaiHo/Hdjgcpr/F3uIBk5ywCY5JECIXa31ewtwfHx9LpVQNsAR/LcETVSzD360UWcqv2hxJaMAhyUp68Mw5cF6CVJfyccV6Tj4STVhOUi6OhP1Ibafy8vueqLwY89rtduWRUGkcqtwO1ek51tljKsnASAtaEsJKFT1fnz22wzLpf98E3ovleN28DnpW+RF2dKWV5kNlFC7Fn7x9JD3lm4xH9mFVxpSPp7VUN2cIc4xUYy+xBRNE67BhdQnvj8qADYcMGTJkyOpktZ6Xa3BaeNLy3KR8OBza3d1du729ba3Nj9ihp0QIkZ8ltIL8aBRPy99x2ISWn1tYS0Hg5IU5rNPaSwjQ00iWYBUM93K79elWtpfZ61HVJ5EwltrjRzxHfqYnVnlv3gYVaeXi4mIGtchr4sGoqQzco+gMRW4IpTVd9UEPwk5QYQW/pTw5PipvjWOHXlN1/ZC/3/PAK/jM5w6fZf9yvPtccy8ktYEzc3ueW2Jp8ntvvx/5XBGQKhTGiSCOEilN3ySd8uPYd8SrmnMsg1+t8xpZtfJK9O3W8sC9u7trX758mV1GmXa07/f7Gd25F6Nx5cO0UmzL4bxqkHLSV88k4SRj2zj+X0Fove+rU7/T4cgJxkoLKqEfX9AJPXr/JqOh1za9WKHS9zKwndiGPSFkxvP+WC+lTVYijSgqvOr6dof9lhb3JKkPWfeUBtvaFV5SkmQhqq9Tf7M8aY704nP632HUVG7fWO1jJ8VIWZ/W8ljxMd5jQrK+Cb71NnDxdusZcKxbgkspPj98DOgd3ifGw84FLab2ceOgBzv+iKxWefkgT/uV3OJxzJxpJetTR/qkPTWefoWNV5YGLdkl65dSxcl8YidCgU/SNAHTZ5+MrJvS4knUS95AsvbcQq2UFydCOrV6aTKzLH6VRbVgMNDuC9HFxfxIp2QQeZs8P88p4xJeiKgjpejFVAtd+uz1cSVQ3XpAr9nb0JV7WnyYD5WX9qaxfZIy9HlBhKU3T1L+yod9lfb79ZRXmlNKawkJ0fvVvPK2qrwyl9QnSTnosytqfu7ddMAxyosy09FmoskrbdbH5/aSEX6ujJjXkCFDhgxZnazW83KhFybpWTDnwhG0fmmBeF6erqyT+/v7mE8P7qkk4fLpXebfg3ccbuH3DnH1cP1UDodu3dvR+8zHvZvkWbvH6Z5LspS9/O7tVfGf1LYXFxcv7k7yOFVrc9iw5xF52/RgRwq9UoeGkhfjUHI61JZ1TPX2/CvkI0HjDpNxHFR9oHIuzVNCYX5iRW9cL3lxqQ2qPkmednrfvTC2azqf9Uc9MM+/h4L49w4tcg4T5k4bkVMdWJbUv6/1wFarvBx+Shh1b/L0YDuPqSydOJAC4H7rrD57HufUs4pduAJMAz7h55XCq2IdDn3wGSrRXtwxwUXeb1zMvH0SNObl9XdSYDpBexwHPKqpig3QgOFJGn5hpN8yy7apFuFz4lRL47gHwbX2Eob1MlTzqoKZmQ7z6Y1dPavnUpnVTqx3ih8xLW8fypIxkPJh2j4eUuw11aGC+ahAOUeqkzZceutCqlcqD9Niv/eUtMb11dXVbEz11sQqHv4aGbDhkCFDhgxZnazW87q8vJwxXZJmTx5RZZUm6EZwkzYzn+Oay8pIFq+LM3x+xBp3i5nf+XMO41TuerKKUp0r2IEeKuuVaLi9ssuSTcQOWngpn8qaS1al+jdBcAxGu1fOMaKTMFpr3RMxnFiRpPKke+JWbUVe6kGFbDe/FbnXnhURIdXHy0bvuoKvJZXXX8HofkURy1MRMSp4nWXz57z+iZTA75J3kvLsQZo+f1gferxpLan+1vscK0wjzbPW5mEUMg9Z31TPhF79jPxPKC/eDeQDrAdBeHr6n4yvKr7ikKRDlUyfEystoh57oVQxKtbJy9BbHNkm52DmrJfE4TY9TwOAE5sss3MMgOfn5xeH3DJtlsP36i3FJJJxwnx7cTy9c3l5ORk019fX0zFQ19fX0/e+SDmrj3mkPnTKcU+RuXFSpU3xmCb3k1UnqPi7SXm5UqNU0F7VZx4XOncR9rlQjd1zDcxKkaTFvSpPa/PT4v09n/+pTTS+E3RKA5ysP0+nak+HPXshDs6fShFV45XvpMOcf0QGbDhkyJAhQ1Ynq/a8FFx3L6xy+d2VpgXw+fPn1tr8nEN5XnqPUFCCRPS90lca9HR6nlfFqpIkq3rJ20oQQmWVLRFglE9lpbLd/Vr46orz5HUo/wTlsm3Ynm6Verkcok31Vzn8M71KeV2CCt+/f9/ev3/fWpufYXhx8Z299fDwMPPqUhBddXNPN3m5St8/y0vgO0uQm/Zf8WQQlqvy3HqwYYJ11b+sa+Wt9SCv9D3naMU49b8TRJvy9bHPsece3RLMy7nDMaW/K2E7EUJfgsiZrqfhaXtZCL1W77As8qiq+afnuPfvR9meLqtVXq212YKYlEI1cFv7fpV5a9+OjuLJBrxunZN5v9/PYCpJGvhSgJXCZDn1fjpCxZWkL/ZpcfGFqmJPVgsQ00hKMk00T8tx8d7mXf/8/Pz8gpKbLhFN0NPSAuL5tJbZqVQkbuhsNpsZw5AxL05MjkNCRly4fRFNJxR4uV2xS6S8WIdqIzGVF0/5YL7V6flaqHtwWcqzB10mg6IH9Xv+PegxGVvVOE7PpXc8/3OMBqaXjM5z6kOp5lKa/x7nTeJ9nZiQrsTcSE0GLB0KzoPXxrwGbDhkyJAhQ1Ynq/a8JD04ju6/Q3OySu/v76erUmRZ67MHRXmNSsrH/z+XleUWM/OsPAO9m9qjCro7hJcgHqbr3msvsF1Z0lWenq9DR4TdeAeQbsNOMFu1v6eC6Rt5JNYAACAASURBVJwkUTGkSB7ZbDYzT12feV4m+0p1ZpvQSk5t7Ztt+ZlWf9rsq+fIblObKR8nsDgZSelV7VrBZITTnAzj6ST4iaL+1Tv0IitiiKMLaZ7xOX6mN7wE6Tk0WRE7el5OgmL1Dr0Th1oT4SptGGYZmHa6soblkcddwetEIfSOkBKee6j+clRnKdRxrqxWeTkjplo4qx333Dz88PAw3ft1eXnZbm5uWmvtxaRWvhKeaSdJuHQ1kZzamiYj65kGKP9OC0CCECpFwjSZbu/0Z4cNWmsvYigOW7hi87L4Zk32z/F4nOrEC0mXYKAEzWkxYz7VPV1et+qMPo+jJPHJ3IvRJCXH55MhwDEupf/8/Dy7yp3vV4ZLT3lR3MCjMq0YhhTe3uBKxOPJSYF7HSo4zRWnt10qGyFAlx6MyXT5TDU+2L9poWcaCZ50I6wqRwXVpbAFDaT0/ps381spGIrhPGc9/pv3ea1WeXEfTmtzOjobqjfwaNFpcSRtWJ2T8OJEB9f3PGDVLeM0wGT1VItGpbwqT45KzJVXRW+tJpZbea6oK4Xli3ulCHjKvxsDqvfpdJpN2CVyjosrC4kszBRP4zssp9PrHx8fJ6+Ghsrz8/OLK3uWLM1q8ezVwduWZasWqkSWcG+/Ko/qlv7v1SP9RlQkxSwTypDed0VG8TmSFn55N6kM9HyWiEpLUhkJ6XeW09eFKp6W0tV4SO3GZ4k6+J4tX2dT/EtrnuaJrqJSHWgg0ml4jYyY15AhQ4YMWZ2s1vOiBUJvwuGV5MFIErxyPB5nafmV7Q6H6bNE7yTPi1a+ezd+KkBVB2fqVFYYPQCWzaFC5llZ3Mm6Vx485yxBaZ6PW8m89l7xRMFIxMy5LSJBZSpjFUNLsT1BJQmDp4fodfPxovceHh5mGy/9Ko8UX+hBc9x8757XOZ4G65S8aT3v3k7lUbE9xaD05xzW6rFyk6RYVOWFSCqmX68O3m49L5NwXupDpitJXq+XzWOfFQzK9zmOHP1J76j8fKeC86prch4fH2Msl/XUOpniuox/MX79t4UNW2uziZ0mjHem37icsGXGV96+fdtubm5mCzT3gCWYTESOCvsl1OGDpQe3nCMe8/A28EmRyqDvfZITSk3KnN9zsmjyVLE5thu3KLT2nWRwf38/g3T8OCTWtafYJEk5+3PVSSta7DVGqMjYHlWMystQ0dGlBNJJB5UiS3+zH1U2h58ryJqSCBrJIOECXxFlqnJXeabTc9wY5aJZKaZKeRL2T3Wr5mUisSzVx2H4ysBivzEOy75ju7P8aewliJW/V7HF1B5pfVGZK8OJ214qUtSPyoANhwwZMmTI6mS1npeuSW9tbhk/PT3Nvifc42yyKjgsS/p0OrXLy8uJRr/dbmdUeXpelVXrDMAEDcrqSe64ezRuVfcgEj5XlaHyYpi/e5nJ46S1x3ZW8FfpkWQhD8vT1f/qh6en+bYGeWQPDw8zS9atblqyySPTM4RU0hmXfuoEvSV6hRULUeVKkIr3h5eRaaT+cViL+bJPvA18Hix5JyyLExgqyNrzrzwthwNZfm97eqzJa1A7V94FJUGuXp/KU/H2PFcqeNPHi5dpKT2Wx8eWe6hVPStEgrLkkVVhiIRCvPZsw1UrL51ywMX16ekpwk1v375t9/f3M/e1wq/JQnSathSZKy9CaQ8PD9PCzLiFSy+2wLhSKpueW5K0EC3FNAgxCSolhJbYRoTP7u/vJ7aRFJme3Ww2M+VVLdhUrI+Pj1N6h8Nh+nx/f/8i7pkmcy8eULFG2b9UNlKYVKwSGhoOHbMNvQw9eLG34Et6i1NaCM9h0Pn7vgD14CN+l+AxrzehRmeQuiJKzyXYsxf/Udr8XDF0f0YqOCwZVsxzCRZWW/BvjjE+7wzlZBz0pIrBVfE4SWKGci4niPZnZcCGQ4YMGTJkdbJaz8vvTiK0RtjPIR0yXZwNJvHgftrMfDweZydxONwk7y8x+yQVJFRZNrRQk3WXLNFzhV4L96ltNpsXe7AITxDOk0d0e3vb7u7uWmvf+uDr169T++z3+6mc2+023jGlNlcbHg6HKb27u7vJ+yULytvMPRCHaNhmyrdiGNKSVR/QO0/QGCFIjc+qTyqPqwe19QgFyUrmRuAeS86/q+DNas7wXV7NobokL9O9P/e8lthxnD+efs+zdU+08i56njHFCTeeTyKTpTHq47Mik7BtEsuVz1ewbBoTqTzpnSUPrFqriFK9RlarvDabTdvv9621b4tgUl6uFCjsBKeGeqcRYuHGUy2uio21lk9gIAONi4kP8DRJKnimiqX5Z/7tg4lwiS/crrxSHINw3t3dXfvy5UtrrbXPnz9Pn+/v79vT09Ok6Eknf/fuXTQg1LaECqWwjsfjZEBUi4WLt1+1SDnsV8FSSsfbwxdkQm6U3qRn2VgeN1x6LLEEK1HRs0x6PsVLKEvMsBT/YpldEXubpsXV41cOk3Hx87bhGF1SXj6nXGGmcnpde3OWz1cGVWWosBw+56stQm/evJkpsGr88x1/jvXjOuHwJstZpe1jVO8nGP1HZMCGQ4YMGTJkdbJaz0sHpLY297x8c52ekeUpa60K3tLyk2WTLCzfeOdeWAr2+9FKbjmm/Q9uzVRMpOozy0yoxZ+9uLiYHTbLY5uc8SXP9nA4tNvb29Zaa3/99Vf7888/W2ut/fnnnzPP6+LiYoJ4W2uTx3x/fx+PpHl+fm739/eTh3U6nabPJN249GCQqs7JetT7tObdckxejMNovveosnhT+ZVH1d+V10JoqiIuUNyTrGBuHwM9OJNeWAXXVp6Xl6ViBPoxbpw7REj0XcrHhTBkag8vRzXnzkEEeu+nZ1t7eZ3Jz7AqfQ05t21Snj5fKk/QIUTOi9fIapWX07cTDssFKHVONUB9giTIrLX5osWzu+7v7+PlftvtdhZXYpkJbziTrGJ1uTtfDSql9/DwUC6c1aZrQT9Mg7Gtv/76q7XW2h9//NH++OOP6bMON5bR8O7du9baN8UoReQKi59pHPhzEtbTJzbbMUFRbMv0ji9AnlaKtbnR4e2ZNjC7eP/2oMvqHf/e65DSSG1SwXyeV7XB1aErh716kD7fd8WpZ2iIusJegjlTe6Qx4gqiN474f4/FWZWHUvVDz5ip1jqOV18bJOksQ65HlWHN9azaOkNjouIW/IysVnlV3oXo7a29vEqDjVhNxNbyRD5XNIjolTHuQGuRcYZK4fAzyykrJ+H0PuH8EOCe1az/ff8Xtx9IMd3c3EzeFpXXX3/9NcWovn79OqOd82BOP9XDJwsVFhcGtiGJJFRgrgwlJE74IbvVRZfJkuWkTW3IBWO73b7wYFO9k0Jzr8rfcc+8J70YU+XdM47Ss8wrxeheclr8/V0fr+dQyP0w59R3lbLyd9jWTkFPdHePjbMNfOz0+jqJ96l7NKxbdYC3H6abtj+k/iM5hluRkoeqsqX5R0PUx/FrZMS8hgwZMmTI6mS1npe7vPrbWWr6rLhJOmFjCXuusFu+4/EMwmzJk3MvwdOuzv+i5+WHAydvwCnNtIh4JYFbYbTOnLYuz+vz588TbMg41+FwmKBBlaeyslLbuhVLi5enclQHIHt6Xv+KKu/tXjFQUzyLz+h7Z2/S0z4X6kteYQXd9GBQ9yRTXyuNBLm5Z1x5jP69w3kJbuX48H57fHyc1Y/tTg+8gtCINHjZON5I6/d6p3TdI+sdkptCDem5Sqox4f2Yxq6PV6ensz2T5yihF5ViVlpXEtTvnpfm7Gs9r1UrL8IL+nw8HieFxc+n02l2MG9rfaqrfvfbW9XwTq+vIISvX79OCznLzH03rb2EOzkQPQanfHzhrCYfldXpdHpx+oXSrqAF7m+7u7ub9lx9+fJlUmSHw2F2wzEV6Xa7ne3J87uxvJy+gDpmr/cTtb2a2EqP7e6Qlh8amuDaq6ur2SLaOxLK94ylGBHLqbzYdxVpJC2UDoNWBp4f7loZCspXbVWd2uBlY7vxcwXBefyJcJUbhmmPkCtFtr3fQsA8fIxVcbJqTPmakbYbeN18ji4RsPy7SgFXxpreS+sEy/zmzfdtRVJkaX2kguI7Ci0wvEASWyLQLMUll2TAhkOGDBkyZHWyas+L1l46V48bWnmIa2u1p+IWlb6T0JqWN+EBUn2nspG8kQ4NVh58LuWpcvP/ZAmyPL6RmCdUnE6n6D2yXeR5yYo6Ho+T50VY9vn5eWYNE+a7vr5uv/zyS2uttQ8fPrTr6+upDWmt0jqrrk6gtZdIO0tBc44bWZj0LpJVmIgxybIndElYS96efvPxkix2f67y0CqrOkmCr5yw4V4Z4W+e51gREfxz5WkkqN3fV52r5+jJupfg8LrnyfnW2svbgykV3Or9lTzWymOW11PNP4egUz1d6PU7apDe8zyEaCSPyEMcrb0kXxGVIepF2NDr/BpZrfIixttamy38fv16ay8naW+PBGELLqqEw66urmaUb4dNlB6hOeXb2nxSOVOKi7CzEL2cCf7hAuSQ3+3t7Ux5VRRYpsVDd6vL5Hxvm2JTu92uvXv3rn348KG11tovv/wyfebWAfbn8/O3fV7pKC+Ha7lIODyUYoAOm7gRlCAeKgiPNVKRedyR3/sePy6uaaFTu6eFs1rAfDHtxRkdWqziXEvzSuVJi62XoYoZLUlSbDzBxJWat1Wl6CV+eLaPkWSIsm8SpZ/9mBSU+uCcmBffTTHKJAl2lCTDiXJu37Bu2kJDQ5m3P1Q3ELxGBmw4ZMiQIUNWJ6v1vNxKZjCZno4HsxNTxmEQt34Jwenz5eXlBBueTqeZl0BLkJ4Ky0VrnPBZKndFJiH0QdiDXoxDfs7ATF6UQx29/XEqt/YytfbtBA2dovHu3bvpX2vfDlQWbLjf718QQ9ROJJa4F0aSCT0dJ4pIyKRyyy9tzkx94LDhOYF2ZyQ6w071Zr95O1fEigTtKS+Je+Y9qVAIvu+eF1GMHuOR5e95el6W6n/Wr7W5B+CkhgptcYICx457aImQw3by+pD80fOYf9YLSR7nmzfzU0YS2SgJ24PfpT1crb1EeJSnwjVCdUjY8P2TkqUxuSSrVV5pgdXnihbaWr4oj7CY0m7tO1zFv8k60yJ8Op2mjuI9Xq3NY3D39/ezwcY7shg74WJAhiEPV1Wcj+weLv6c2H6RI+OAXJAIj1bMMpWvtW8KS2W7vr6eFNSHDx8maPDDhw/t3bt3M7YhT55QWmznr1+/ztiLPBKKBgT70xcIwnkVnJYYZ5Xy4fe+OKhsZDImY6RadFIbSNgmSai8VLZqga1iUQ5jphhTgtzS4uOLHush9mBKO5WtMugkaRO7K3OPedFYqowVj3GmulFZeEiiStfz6Cl6V6xJHKZkPM/HdYIHvaxe/2QItpbDG1qL0jFuiRPgef+MDNhwyJAhQ4asTlbreVWHb9LKIImgtZfkh3R8kO+XoGv85s2bWRCSrEZ6CUyb7Lzj8TgrJz2vyiNJxA7Vv2JWulVJ6Kc6kslZd7Sa3OqXd/n8/J1huN1u2/v371trrX369Kl9+vSptfbd89I7hEGZNvtTJJPqDERKBcX0oCxunnRYJUFU/CwLV14uPX2Hq+j5LZWb6et/h2uZNtvNWWqp3pWVq3c4xpIH4X3lFvsSiaTy0nptUXkLnp6foViRNzzNxCxVeSqokfOSSMU5xJQEJbMslbflnmjF2CSblWPS27eCnD0/MmrTfPC9g+k4Pm+fc6Hjc2TVyov3dnFik6IscTddi39rc2q6xyAqRpAzw6i8mIZvmiY8KeW13W5n5x4yBsaFhVi6lKcw5sPhMIMNE2VbSpGMSQ5+X6T5f8Lt3VDgKf+MeV1fX8/u7klQJTFynehBanaCkjipVH5OvAT7eWyzFw/gAsD3qLAYK/HxRqOnipHR0PGbCpwqT6niLYS82B4Os3tMKC2ClMvLyxk8msq0VDaXCpbt9UlaeHsLotelOmS7MoK8PSplwQWa48qVtisgH1dKj+87dMmyOJytOlbtznL6+FJafvcb19Q0F5RW79xSPs/x/hpZrfLiMSUU0rS5aDCu4EJl43EHduLbt29np0NIqLy0mzwpr8Ph8GJvifJ3jy9NbAbN5XXRq6Ni1PvpOCXi+fS2VAd6rMKuWe5k0SfvQs/2Fmu2G5UXY1uugKvYRM8LS4o5lTV9Zj01KblopP1t9JqqGI7KwriBbw9ICwD/7sUNWO+Kdq+/afWnNmFb+8kXLEelZOktMl29k+JSqQ9SvDJZ9pUhljxrzYPUTxX5w+NAVB7Ms6eI/fmeMtV3HuP031XmpBzTO9U4quYzn3W0xG+CSEqO5X+t5zViXkOGDBkyZHWyas+L9yPRIkqbQ926chYhLV5ZCX5HDQ+C3e12M1daVuXpdGpv3ny/httP+XB8XuIQAJ9Jls7pdJodgOvnh7nH1dr3U0G22+1UP7YnvSDS6Y/HY7yPR2VK7/vlnLSYCbGy/M6WTH1KceuZberxvNSeSXreF9+nlZ4gZzJT5TEnaMxjjb4lYInynJhpCSKtvJbW+gzDnnfTi5cstWcVw2NMNHkDLE9l2fs7aUzQuxLEXMWJlzwdfU6QYg++8/9TnMvz87HD36pxzTHq8Ty2hyMVCfF5enqazVmPuadTWKr5VzFoz5XVKi+Kx7m4WPsCXR3bxIVTnXZ1ddW22+202DOuo5PCW/vW2YTslGZr81gOlZcPfL/rKy0mKWiegtEei6LCvb6+nmjrHodSmY/H44tjrNJpIlzcWE9CpbrlmgM10ft9nxrr4+0hSQsT45BJWXhMk2lWp2D4wlApRv7tp7/4YpSgsXSSyBKU9CNSLW4sKyHrauypXNUilAgFfpq8K+MEqXp5Pa5ESeMj/Z3KqbySkvNxVKXjkGTPQGIelfJi+alEHO71Ouh7Si8OSKPPt+fwORrnirPf3t5ON6nf3d3NDHXf0vL/hwzYcMiQIUOGrE5W63mRjEHv4vLycuYpJRpzaznYqOdI/+bpENyU67CDRMxFwnvJu3CrlB4BPaKeMI3Ly8uZxyIPcbPZTO2x2+3abrebmICbzWYW0JfV5BamewBpi4Kff0hv8+HhIUIQTiJw1lzaLkCr1hmfFauJdXL4S+n7c4mdqncquJftQa/UITaSH6rDmTke/DkX93QqyKkijLTWIiKgsnt51G9VmxAOdMJTooo75NYjFVTWfOXFeb2rtvF80taMHpmkJ6nMS4QIjldvmwRZ9zYz63eXisbvd+Nxzh6Px8nburm5me7wu7m5aXd3dzMEi+Mgpf1aJGG1ysvhQcJ53FMk4SLX2hyioYtLCFJ7lz5+/Nha+7b4V2n6ET/VsU3u9ut/h0RYnmphYB3p9r958/30DsKbUuxSZq68lLaffn91dfVi4WL5U90oFZTjE9Hrcs7i5u2RJoQfAZVOY1EZUp58zuG8Klbpe2Co8HlqSmVguTKumHpV3EX1SfERxjpUNv3tp6tXMcQqnubxQIovYlWfpv7tSaLaL0GkfCZBzmmMV23rCrKCkl16/ShJDMmkqM9l7vkY52cPW/CUIIYUeBmtFJmOnauOwuP2nLSV6WdkwIZDhgwZMmR1slrPi2SMiqThXpIH65NV9fbt24nQ8O7du5nntd/vZweqVqSMc+ENiluv9A6Sh+dBcochE+NSm5/ZVrTm+L3q41CFW2sJ2iOMK88vWVkJKtT33lbJ+0x7cyoPLLHmVC96rE4s4Luet96p8lQfpQ3HrA/HVA9GJSOP0oPc+D7f8zbgIarVOZKeX/q7Ij4k76qC8+gt0kOqoMHUB4nkwM37ab9ngqMrj9XzosfpaSXv1z1Etk/FpFRa6SzNJQguIRyc887MZruRIez7Vn2fqSMMnifDGGRE/4ysWnkRHqxwVD9+yJlmep8xIp4O8f79++nYIyovbkxmeto8nQaL55vYdHqGA17v8MgVQZOsT4Xn+6SvFmsujufg0hz8HltTG15fX7f9fj/bVpBOgOD2AtUrwVTVAu2b0SmJ5s36p6OR9Kzn6Qqvah/Grxyaq6A11lPlTEqO71dwk8qQDA2P155Op9m73Aif4EoxUJeUpo/rCl6roPGqXklckaRYXa9slBSjXMq7qoPHXr28NFySgehpsk/deOsZLuk5Xojr21HcaK4u+/U7u1K8k86Fhy1eIwM2HDJkyJAhq5PVel5+hUgSBl5lzdMKojUga2S73U4w4YcPH9r79+9nXkSCHZiu8kmWtcMEZEv64Ze0/NyC13ckhrg17ha8PlPoeZGttN1uJ+tK7Ux4kO8nb2u/30/Xxbjn9fT0FOGEN2/evPBke1Cf3nH2WvJYe4QCkicIC1XkiSWWGMvvdXEISvXh+xW5x72JxJD05zgO3AMiguDIgKxs3/junh/3OXpd9b3PUZZniYyRPLqet8T/E/mi6rsEOSaPtoeOuOeTruPh2qPn3WP0z0vj4BzI2OvAOZf29D0/P784dIAbk/0YN5aTc4uoDM895Zmur5HVKq9KYTnrxllyVBi8Y0odut/vX9xFRao8O4cbdJ2lVi32EseY/czBVJ+EhXOBTaeYL9HRNZAccye9n3Aly/TmzZupDamw3r17NykyneiRWJHVhBPU4xuy9Q7bkFLFUKjIkvJME9gZpL02TMZBWigTDOqQksdFEhTlC6u3YVrcWqvp9nzGT3FJp+fvdrvZIugU+GSgeTl79Wa5fIGt3knwmtqg6jtvz2RUVVByqkOKyfUgR1defPccw8kVWUpX6S3Bxz4meXrG4XCYNib7iUE0DDzP6uCItN3oZ2S1yovikzQNMDWuGo7HO3ER3+/3U4zrw4cP7fr6erIQuP+qt/PeFyDmQ6XmwdKktHrWlFvZzJPPUAm4IkgDjO3mB8Ty+B4aAFRYfioJsXXfEsAJo0XTFwwK+9r7wMdBtWhVi79P4LQ9oFeeFJDn55QPpRe/qsQXKvcykxfWWwS5348WN2OVWphSm3q5ewcnJ2VOWSLhpIXbDYnK26o8mJRPWlv4joziRPbxBboaR/4c47Ick16fqt0cnSBpK/UJY7T39/ftcDhMlPibm5uJEn97ezspNRq1vg55e75WUSUZMa8hQ4YMGbI6Wa3nVbnstDD9d3oW1VUn19fXs3jNbrebXYNSWXk9K7Ki9DNdt/Yq2EPvaCOx0nbviFY+vSg/TYSbB4VLsw31vOonS7y1l8xMtdt+v+/WjVJh9u6lps2lqpPqwvqwDavYijO6enCTp1HFRDwOovJXsJaXpweRJQac15nvngNbanz4GGltfvDq169fZ1cN+TmfCfKuIKqeJCgwwbLutff6x2n1qmevDD2oTnlSePi0MzFT3XuxN37254g2VLAh6+lxXa4ZnOcMFRwOh3Z7ezt5Xn/99dd0kobOMGzt+3VJKhehQ/fmOb5UtsTC/BFZrfLikUMed+D3EmH0hP74HKnyKRbW2sv9H1VQ1SdLOglks9nMFnjCA0ozpU0oi8cweXBdouBra9/3ozm9le2jcpKIwVPlORnZVn7grx/nxPowlsRB7TAUbw2o9kJ5uySYrJokattecHxJPN6Tyq+0Uv9W8TxfvHwRVZ2S4qqgm2RE+OLnF2ISNiSUtdlsZve/MW6U5iXbK+VNZdyDoPhOGkepDClO/ebNm9lcOieWxL85DjXGmUYPLuX77Of0XFJ+S2Xz9cdDFEmZkg6vI6B49JM+397eTvEvbqVwwobKzv9Z9lT+H5UBGw4ZMmTIkNXJaj0vXlVdHTCZYJhk3Tjzj5aJkwKcEs989b5v+JOHRW+LlNHEaFoK6MtSkgt/dXU1YwHROiN7jBuyebcXvULPy8kcap/tdjt5W9vtdnrfaf89CIFnoRGCcDZbsrj9huce3FOJQ2g9YgcljRfvR/e0VJ6qzDwBwvN075WBdre4E/TY23hetQH7hO3+9u3bdjweZ1R5QtZp4yv7U+9UFnlCUZJUEB7rmE6OUH2IJjiph15VChUk5mLl7SXPr1fvqs5a2/hc8l6Tx115r/SyyS4kbPjly5fZ1SfpeiQve28u6h2tHT8rq1VeDvEkjJn4rtOiU3p6jvEehyQIr6QYBI9cUnmINzNOkK62T1JRW3XxpfLhYCHV3ems1X1nGkxPT08zRpFT5RNj0tu6Ul6V8kntmerNCad663uKxzyqWKUzzVIaDjdxjPnimNISdLykvHplYLlbm8OGVVypZ8jps+q/tH2BjMv7+/tZfz8/P08QYnVs2/Pzc9tsNrEMHqPtwbjVaRlV/5Bpl+KhrF8PVk1/e5lTbI7PsQwpjlqNAyoGj6smCNGhRrabQ+089klwoA7ZZWwrhRp6NH72SdU2vbjjOTJgwyFDhgwZsjpZreflFlCyMH1/g8NZElqVhEqUFr26BH+19pK9KGF5aIk6POSBdoftlK6+d0vq4eEhwgYkbCRvVX8/PDzM3HhZXXd3d7N7epSm2jRZXk6qcEKNez6pbA7HSZIHxbqcG/Rm/uk3957dM0nwnvebsw0JrXmwf0nc4vY6tNZe1MXnAj/Tq+Q84ck1DlNLNDb4GyHwhDT4XjmiINUeR42jimWZThlR31QkGqZTbXJ3L6JHqOHfybuoxrs/20Neqrq1Vu9lJELENcB/o+elQ3YPh8OMAFZ5dWQBe10TA9Tff63n9T+jvPg5QYgei2KHstG5a9zFF7kUg/B4ly8UfJeQlytJiVNbvc6VUkgTRgtIoscej8cZVd5PkWa8g5AVT4/X+4QDZTAswXsOa3nfsW1YH2evVcrLoVNvT5dKQSRokEo7pa2xl9pwSXERZuLnVDblX7UBP3s8jMqLsUuKL2Yq+/39/Qsavd7X+Njtdt15ksa2j4OeoeFKIEFr1fYah3WrBblac1w8dlnF81Jd9TnVU3MkKS9uZ/G4MoXzXyGB1ubbIqS4lB7nuY9D5wBwXNNA49g/x1g7RwZsOGTIkCFDVier9bwqcU+DAWO379DTbwAAIABJREFU3BhA9wNvW6uPXmmtzwhK/yu9KhjNZ+kdVBCGmHoMpLLcFUGBezPI9iN7TOm19v0WVaV3dXU1gxBpvSYGXq+9HBrsQSkVvOjtVxFy2BZu4VaBeubJcngeac+Vl8XbJx3c6uIsPqZdeY+V91mJIEwenJo2H5MoIwJAgtoJbRMmlyVfjZdqjPfaJn32+rMfW6s9PEdLWDem1fOikqfB7/msnuM84b7Gqpw99IfMQSdV8Lk0/+mFafOx8iUJ7erqKq6Vep/s4QRnc/6+1gNbrfJyRZAG28XF94vb1PGcgNVp7dXJ3hSPg/igSoPc6aw+kNOC5NgxGV/c7U6M2tvAFaEfutvaN5ybEzi1R2vfFiS9k9hgzEefn56eZrRqlo3QFON5PuESy9PjjpQlJaZnzo0l8R1fxCSc8A4bcoHkuYAOSVb14NipxqTKlWBML7Pnxc3zSXm11rrzItWBC3JSXqyPG5nML82zJQXOzxVk7AZWxbhM9fZ29rpXc16i/KuTL5I4bMx16/7+fnYmpW9BSUrOz++kUnt+np++o/krw0XPKa3j8ViWu5rLr1VeAzYcMmTIkCGrk9V6Xg71nWNpO6QgC8Iht+RNpPcJb9H6qrxCpkWYTFZ5ZWUnq0lECu3NcGtL4gFvepwkbPDMQv2mtBiAvry8jPAkLTcnhTw9PU1MRr+6PDEKW5sHoOn9ubXY817T5wq2cUmWtd5Jzy49xzJUzL8qfUkibKQyc1xVEA3LcnFxMds8T88rsfbk0S0x3Vprs7ufmK8zZ6tbB5i37yWsCD1e79Q/Thzw8wjZpjxCrYITmf7T09MMFmZ/cLyT0EKWpufvKAa9rXRtCdeCRKRIx2p5H6pMrc3HAduW+8R6yFNFMPrbnm3ITnTl5Z2tz1yEOUkcfvLFlemlBYgLk9Ll4OFiT1ecsYEKhuFg8/PHRGnV32nx9MXQIbgk1YT39/m749+EJvjOdruN2D7bWUqJ9U4nPfjCwP+5oLkBUr3jfZD6Xc9XbLJKsSRjRe8uKT3VhzGVCpb2hZsKwBW3vqfyItuQEKJvSq5ieJVSU95UOOpHbrb3d9jWm80mXuHjp3pUkGJScmyPSnmx3j3jhXWsNlOz3V15Jaq+G4iMc5Pefnd3N1NebmCyjEmRsfy9eK3DyFz3qnhWFfr42yqvczyvNPASzZRSUduZRnrOF/GlC/1aazOcv7WXk6a1l/E4WVq6FI6WbUqHZfOFxAev5y2p2o0Kk/Ezx9h9oU3HSLmh4RZiNeBZLj8kN3k0ycKsJGHyaosUx3BFdE66voj+qHChS4vmEjFE+es5KqzNZjMdH7bdbqf+Vf35nHvOrc2PKePeSQlRBArHARdOxl584ecxZ9VpL5Wyquj3+j+RivymAwrXCY81uvHLfFIsy9c597akvPyerRSvdXEl6eWkcUAjKBnwMiYYG9NzHjeXnDsPKxkxryFDhgwZsjpZrefllE9aWgnWcjihtUyV9Q2bvXeSFUmPqbWX10rQmklQpYQWUQXHOZadYC6PP9EKqmJ77rlVEGlr32MaDu05Q2/JM/ZYB6EGT4vi/cF+rNh5nu5SXIh1VrqJGUZY2GOAFeTkaSTPnvXztvJ+dzZn5XF5/hzz8mL2+/10R9vhcJjqQ+9H/zuK0Noclk7QEa9USXVTnTln6G0xNievUDE7emLsq4r552V3mDO12TnefMX41DuExpUGzxLkZ/e8/FSMRFNXOav5y/qeC+OleLz6Se3O5zx0UoU0flRWq7xamysKLtBcnDlw2Fh+4nW6JJKBSkkP827t22DjQPDLHxmk5vsOL6S4ARWE6lwtTgkarI5sUb0IufEzFxeWjVDl6XR6cWQV3+dClyjSfC/VLSkSn4g95aXnuEfNy1ph9j75/YT2tNB5bI3QtiuVNKbOhRNdeTE9KlP+nhQeY7FUXu/evWutzQk99/f3M1KCK1Yqeldg7GMtytXB1CpXim29efP91IfNZvNi4fb+0vupD9L883JIehBkMrZUJn9fojZ4fn6exbMT7d33Uh2Px3ifn48twn5Lp5qo/L34FfuddWafaMy39hL6/G/JgA2HDBkyZMjqZLWelx+ymwKUtLg9MK3vWpt7W4kqXAVf9TlZ8w7Vsdz+vtzvisWX6kZYgP+70NvSZ1roLA8PDfZAbGKDqXySREy5urpqu90u0q9ZD8K9zlBkm/cgTP2u33qBeOXD9AmD0IPgexoPlfdHqeBIlrMHgzJtb4M0FjyNRKLQ806OSZ7X9fX17FoMkhXodbMMyerX79VmWScuuNdP0gd/o0fibVAxIZMX1YPMWLaqPXsn8jhUyFDH6XSa1U3eFmnvOu1Czzw/z7e69PJO4ihCOh1G44PzUc/5ZmpfT1O7c3sNx8BrZbXKywcSGzrFflqbKw7CEVRejpd7p6a4Dr+Xi5wgNBcqlepkEM+zisv4gsZ6uoJIbCGHZHznP6Goam8I6+D3BGmf1+FwmFHl9b7Dhw5bVNBaWozS50rB+CLcYxh6unp+CbpVnSro85wys638fYfsqjQrWJr9S+YeY148Vqy1l/sKE8ydjMcE7yeFpc/evtXYc2hw6bQKP9DZ86mgQn12dm8aF15Pn5/8jQfj8sJHHvVUjUH9VvV1ZcgxTY+XVkaqb1Hg2uJ75dIY/ZFDqZdkwIZDhgwZMmR1smrPK8GGDi3wMzU9mUv0tjabzQs2VbIQGHD2c8Wqw30r6+jp6ekF9EELNQXaXeiyOyHA2yO1j5MqHBpIVrvvq6IV5xalYBBuNK2sQa+rQ51e76X302+qBy3oczw8eqB6p/I6KvG9MlUdqrrSqmUbKq2eha6yedvS81L/bDabyWPe7XazQ6B9D1ciC7j1z3K7F1JBq37XV2oPjjcx8hIj7vHxcZrnTkLyslZkIYnv+fKxk6BoHjKQNhxrjpCI4QQYvxOQHmS1flCcIdhDhqoxXpGaeAgE26KCxl/rea1WeVEZsUHJNErwQYLJuLnOB3VrbTZJeZwSFZY+E6NWfg5X8n+V2aHDavB7hxMy8u+qduPnxMRyGInpV4PXY4NcTHilOGOKbGufiD+jlFgmX6A9Fqq6VDCXK3lfmJLC6i0ErnAqWKtXt/S+/qb0yr2UB9+vTtvowelp0W8tx4tokFTwda+t0vdi5Go+Epoj85dz3tvJFWYF8VbxyUopJphQCqs6IYPrh/JQ+pvNJrInmY/Hj1k2X29S+fWbnl2CBivYXeLrxGtkwIZDhgwZMmR1slrPq7UWPS8P/kpk5SdL3/d/SGSxcJMwzxIkE4sBVlrgvP5CfytPWiAVPEgrf8nrSHWo9tDwd283t2RpefUC0CkfsaPomQoS2e12JVzEAPJSvZO4t5WIAt6/reXjlDhu9BuDzoSlKriJ481hw6p/PYiePIBk7abnfqT9koenY5day0zf5H0mFIPlrggX7nkRBag8Yz+kIF37wT1S2+125oUxX6WjtkjEjESKqchDaXxoTnCTsTyvahwJNkzHcpEM4/Adx/c5TD+1Z+pTX5uYbjVP2W5L69GPyKqVV4JuWmsvBj8/LyksX5j8nEIqrwQVCqNmvIyDP23WdVaVx2EqRdaTKj5yDsbdY0U5s8zjiHrGFQ8nVgXTVZfxeRv2Bn+KX1XQa2JvStwI8sUoQTSeP9Py9BKM5uO4Ymwt1T0J4XSl53kkIZxHw6u3VYV9X0FrvtCleqaYX0/J8Z0EE/upJ6R/bzab6W9+9nhvEpWL71SGYMXoc4ZyikEK6mSII2296TEPe2Pe61T1Q4qF6W/OCwnr4Hm8RlarvKpB4A3ik48TMC0G7Fzh54mYoRuG9RwHTrLUVTbG2ZwSzEHRu6qA5UzeRcLw9Xtv8lTiMaxKAXqcjN9RluKOCv56ffVbUio+Ib2MVL4VVdc9oir47MoreU5umVcxRZ/wrLeTApLy4RjwtqjiTz3FXL2XDL+lxcct7tbmJKhqHPUIJ0wvGaKSaoHtKW2NP14qWpEQ3ENmHfkd31laf9LY8xN/qjTcQ6zE15ZzpErPPW6m7ZK82nPzr2TEvIYMGTJkyOpktZ5XD0ZJ1pks+0QHd+ai74KXh+WHZCaGX7LoErTWu/ZbcKXKk9z8HtW4Yh4S1tNzaed7xZxaKoMksbIS/ERvixZmypcWXbKEaXlKKvaVexbpxAD3vBIDi//7Z5bPITN+dk/f00sxFkqCbZbiDt6/vXlUxZjS36kN2IYe76jYjxWC4LIEw3o+FfwlD4KbgZW2Q330yCoI39tav3POa21K8+L5+Xm2TvgByMlr9nXHL7ZkW3Munev9pDHCdUqS4scsh3v9r5HVKi/HmClpQGhxJF7MhUrCw2+luEjGSFBhWuwdnmO59Tvf8WOcKjivgi6qe5xSu3BRJxmF0KcfFcU6nBMA5iRNEzB99sGcyBOUFBujpHo6tFcdb+MLC9N0qG9JWejvHxFN8krh+Yn1XrdeGSpItCpHSsuf4XOpDf2kFpcU1/0Z8Xp531TGiY+jBAt7jM9jxKmtHTp145Xjn8rw3Dni+SmfSkHwYN0UF9QzVUzSJb2XntffXHdfKwM2HDJkyJAhq5PVel6ECvy6iQRnyOpJ1yvQtafnJa+LhI3EZluCYRLs4J6ZM+IIc1EcaqzgwiSso9qNtx+zjMpHJ2LQE2R7JOgkWeK0xpegsCSsb2p3fZ8o7M4wdBJB1XdpfLi4V1p5OhXM7Za5e7/VGGV/eL+nfHqeRiqT12XpOVrWFSHHqe4SJx05AeYcq9/LleaHw9c+JitiRo8wxfJX7Uu4np5fxZjkGKXntdRvnp/yZB3evn0bkRP3wnzdYb4VhOiSPM4eTP2jslrlxU7ouaE9qKOKc/GOHCovDtjeQlfl2xt8PmnToOp1ur+TICYtjvqbFH9nVWnCbLfbWSxKbeFl7rGMfDGpDAVCDhU01hNX5BVj02MlPfjIPztExEXvnBig/+0LP7+vjjDqsVGpTEln/xEIs4IKqxgVYWYqGxqYqa35foKoNKar2Baf84OtKyOidzcYFVti8XHsJqVWzf0q3nMOY7MnXh6uQczz+fk5tnvFlE3G0I8aNP5dgpXPmdM9GbDhkCFDhgxZnazW86rcfEqC4rjbnhYGvRFes022YWuZkOEbNqtgZ+V5Odup2tvVEzJ/3GOgZ+AMQ75Dy5OHFmtHv+pAj5dp96ADWnWEHdXWrbXZPi9a0xX0415JBb369RXOQE2sT0JzyatM8Jd7EPy+Z42nDZzu2buVnbygVKbKYq5YgfzNLWZPk55LqkNixp2DSHCsOLrBMZrSEoJwjqdAMol7idU87aW1NM+XYL+Uvq8ljlycs84s9X31XfIYq74SJMqxk8ZUldfPyGqVV+Xy6rfW5hCgBpeee3h4mE04LchcUAUZ8t4hLrCJrdhbVCiEd7RQp82DS256esdPfHC4kcqrWpi56PBCQE5yH6Bc1JytqPcZZ9NxOCoz21ZlT2n3oCPCkIREJVxQdfFiul+MzNJUltQvPaXiC4ArPa+Pp1/FIFgWN+Yc8kp1SWVgDKdatBiP4wGxFcztLM0enC9xo8JZdGkRZR96Ol4mz7dqe49ppbSWFFMlibVaGWEycFNd/X0yCnun4rD8Ej9VxOuWxori4pUCZgz/vxXzGrDhkCFDhgxZnfxPeF7VdSL+PO/Tqa6jf3h4mB24S2aOQyMJvlK5lixd35yarjtprWb5uJXjAeQUfL24uCitMLfgKxi0gkTZNuluMD1H2NA9suqeL3oA3NjM/AWbco9eOiuOdfOz4thehFfdy+/1SeU1OtOusj79+2TJVtCppLLgU6BcaaWA+tevXyN0pP4VnEzvvjpmTNZ32oBcQar+N9vN6+0epkPAkrRmyNNIXqqTnyhVGarPCSGqSEFpLqs/0ph48+bNrD7OONScYx+kOlCqfCQ98oWvz5rbzgx/jaxWeZEinDYMtvYy7vHw8FBuUmZDS8F5XGzpzL7WXsZeKO5+O8RFOC9JorMmqnolrtAqDN/jb2wHXkuuOrX2Eo7zkzO4qKt9Haaj8nIYR+lVC4jag9R/skRJi+a7fqai3nHIje1cxTf4jo+bauHtMc4qo4GLBtPTYphihb04rMODS/FWQcdqNyp0LqK+8d6hqWQELCmyc6TXnjxFg3dm8R1nOFZ9XbVTZYAszdcl44Zxbf2djE/fCMx5wbvC2G/eF2yDan09F/5ju/Nwib+t8uKC4o3LmJc6TQtVtXOd6Z5zcCUHDp9T/ksUVA5EeXjV3q5KXMlQfDKqDfz/ngJT2ZzokvaGsT39wkkqNlfe9Lw8lsbJ7MqD9dD3HvOi8uJJK658q/iTe8aUtD0jxWuUpi9IVSyJeXscg5IWVy3IyVOoYhje1nyW4ytZ7KTHJ3FFWj339u3bF2NUZfP00lzisx7/87mp3zlWvP5EBLiI9+JiVAQ+VtI4cq/L0079oXgR17dkkPhY85vdkwKiQaT80zrkY6qKD7JcfqoHDYjXyIh5DRkyZMiQ1cn/hOdFqVzc1l56W8TskyWdTmBgPrTcnDm4BM3R8vPY2jlCa+xcSdZqsn4Yl5IVVtHryQTbbrettW+XTOqzxxbds6XFrXSVJ2MsLHPvWgm2C61Nid+VpjT1N/vNWV4sQxK3mD3OVsUUe5I8L4cgWX6ORS9Lil85fMe60nvlFUDpUOo0fxyB6EG+9Bb5PaXXB2xb1onMOdat1x9O+WZ7/gzURXSBDNgUF/X2ULn1jCM0ad1IsfHE9qP3vBT7qtYzP/eTn/Wsn9tYec8/KqtVXudUPJEY2MC+KOr/BB353z74+D0Hi3dWiq05LFUFsxNE0Ktres7rWtXN94wxdkiFQ0WiGMh2u52UlyDDCk5ISrgH/RAzd8y+6jvGW3xBZfpOcEixG8a19HcFAVZjyqXXV0vieVKxVeVMMCFjjyIsHQ6H6abfu7u7aWuD9j66QvX68Hc3JJwIUY1J/653koueJUxcSbqzKxG4WLfUt17P3u9uUPl7NEJYDof8CBum9qQozwS7L7VRmhfeV17WpORYV87FARsOGTJkyJC/nazW83Krjy538oiqwHdrcygqMYVSeu6ue1A2WfDuvrtFRetxidlYBdm9DSpGkadN68pPpCDU5xt+ab3RsucpFh4AZ97OnuL/fLbyggh/qez6O7UP20b9lKDC3sZO93TSpu0U3O+NwUpSEN/72j28BOGlU2BUT9b1/v5+8rZubm7aly9fWmutffnyZbaFxD0Th+2UB/uyQjHOhWFd3ItneSpPmRAc5yg9ei+Tj9lU5kRecKkY0p4P1wwfUz4X0zxn22idIVqR4FqKkBKfJz3R89U6kRiGr70aZbXKK2HGrc3x6rSIp0lGNhwneYKX0n4yh796SoqYt7vihOPSxCa0QWXnUsUDEz05QY3E5r1+HPx835XAOUwq7kfhO2liV0YHtz4wbsaLRx1SqWCZKh7nedK4IFxaHTyrcdhbyP2dCtLV++m3BJ0yPfYvIbPn5+/M1+Px2G5ublpr3xSWlNft7e10r106ELs6bYbMsnNjHBWsVI1XX4QrJcJ2Z9nEdkyxwgra6ylWL0uaF/rM39LFsKkdUvzIy0ZFWCkv3y7Az8zHlXcVK6zYlJWx9iNGXJIBGw4ZMmTIkNXJaj2vh4eHmQVA64QWt7vIyWqgF+b7TLjpklJBTA7DODuo2jfj1hqtwgRV6PtkzVcw1xJMkzyf5IGwfWkFkqXmh5ym+7yqPD3IzDKzr3wzNK/J0T1kSq8iwLiFmIglylfl59mNV1dXsz1tFXvTLftzrM7KuncvLo1ZPqv/aX2T2fn16/cTGOh53dzcTJ+Px+P0jKx3etApfxJ65FkkEg4lMTHT/jgnBFCIGjgbM80B94zPYfCeC3lVHrePPWcfJwgzwcZ8JhEpfOzRS3Vv3tu28urSHXOqD4ldfDfN89cSNlarvLiptbV8VBMPlE0b49L9Ny7VJHNl4TBhxVqrFkd+53EMLvze4UtxHcKLDjVyoekpY5bHlT6NAw5cbhauFI6znZyiLTYmy+0KS4pjs9nMFgD+Vi1mSVLdOI78SCn/nBhrmrAcg+fEvwjxeD8neCbVLS3IvmhReR0Oh3Z7e9ta+8YwFFToC2ra2Nvay0NduVClA1/9c+qbag6yrzheW/ve5x7r68WsaFykBb5aJ9wY8c/Vb/yb+TsF/pw4W4qNpfxdyXnMuLXv7dkzmr38WucIfdJQSMbwEttxSQZsOGTIkCFDVier9rwkTnagJOswPZdkCdpJLLVeUNphyyrg7FLdm0QLnHk7YYMQ5LnBbbfW1F70NAjN0fpNx3JJrq6u2vX1dWvt22Zmvk/SgP6p/Crndrttu91uel/7yTabzew8QxI2rq6upvqkm5MrL5cH9koEGaZjxhy+9rY8hxHrsFbyYkig8X72TaMJAXBY+PHxcXaHHVmFCUKT9U3CE9uNZfa9ZYQaE+zo7UFxzyd5EPJEE6zq+yd9b1iam8xnSVK5Hd70tkmeviMaPdgw5eWeUW+Mcy64J8Sypzvv+Iyg6Mrz6iFNPyurVV6cqEuLv8Qn7ZKcO2iX0kgHAHt8xetAd57wVbqDzMWxdU6ECg5I5Wb+VFg8PSPFexILkXWQ8vrw4UPb7/dTPlRet7e3E3wl6Kq1bwpL7+x2u0mRCR5KSoULKhcGxa+4eKqehE69X7hYO0STNqe7Akiwi7+j59Li5gyvarFk3hV8LeVVbZ5NC6ragG2tdvOFn3FHwq+VccTfVJaqDdI7KY20fcEVmb9zzhxhXq4w/Td973HcdOKP/k718jWsiktJfMy40cH8aQC4EZby8Th1VTa2+4h5tR870Zj/p99aq3HlHj23osCyfIkgoM9c6Hwgslx+vYje4YLv9UmfNSgrq595UuHyNmUqDHphbl2lILnqIOX3/v379uHDhykttc3xeJwd7ns8Hqc0NptNe/fuXWuttXfv3k1lUf5psaXyorKSYuZllJxkVHjsV449Kg8/euqceIl77ZzwboEzLVc+esbzoQL1hUbv+4LK+KKE40bxK3q2ledFb5y/efyM5a3Klm5m1uceGSbNqxQfZF4phk5JHmlaG/i9Gxo0Cne73ZSX4reeVvJuUpmT58W+I1JQEam87ZNw7GlMvdab+hEZMa8hQ4YMGbI6WbXnlaxsCq3f6n8XWikJTkgwDL9P6fEzXXP9xk2j/p6zI8+FMlNsoEdTdmourW9CdfR2aHHTUnOL0C1RvbPdbicvSum39s3Told3OBxmDCW9c319PTtcWczGXnu4tUnopPK8Li5eXg+RPN7KWtX4TFAjGVr0iPR88mw5dv19veviUDLbxeOSCaZzr4GeF8vpkDEhqqp93FOrmK4VTOZpeR4c90QumCfTo2fr31fx4h48WHnj3r9pC4rPq4eHhwlG57gk6sByJgSASE5CnJRn5TGmelaHRrRWr9V/W9iQ8I8rr0R51eRPrn1ScpT0DvdvVffqqGwULk7pc5Kqk72sCUbh+z7ZqxgN23O73bb9fj/Be+/fv5+U12azmdL8+rW+8M5hKpaLsIkm1WazmfXvbreb3nv79u2U/3a7nZ6R4qpIK2wjV2SV8mJarKcbMYRxEhymejIfpe33o7GeV1dXE8TqRAwuIB4kT3Edvcf/Wc4l4kDvJHkP/FNBsD7sb9VZdUjKRO9X8TA+X8WBfI9fb26m57w9vYxJXGGkz2onxoJliLni8Pvz0pxl+WnkpjUihSH82cqo8rWyUnC9eO1/S3kN2HDIkCFDhqxOVut5OakgWRBLrKHk/ibrO0GFvdtJaflUFlplaaay+u8qSwWP9D67VUfok5YSg/H7/b69f/++tfaNISi2INlRvEqDIm+Am5bTPVu0PAVnJM+L1rsTABL7SZ/ZBu55VZvAkxeu8SBr+P7+vtzIS+j18fFxBs2pbPf391O70YMXsYVElQTRcnzKO0peECVZyFX7cP64V0nYsCJP0LN4fn6etjKwDfxzTzgO6IGkkx1UNp4mwjbohQ7SAQjVRu8k54QnvM0rOI7P0VvycEPyblI4goSN5JlrTFUhklQ3Rzoc9Urr8LkhkEpWq7zoivqxPFzQ0qRs7SXLKx3H0jvqyaEbSsV28uccHknuuCubCv9Xm/B/F2d6VQd2tjZfeHe73YzerpgTGYIOA/lg199c7AkvUnlSObX2DR7U+5yYinOpTtxfxgs+Pf7AiUTDp0eB5xhgfbkv6nQ6xXKq/Gmbw+l0mt7nHVlqW4e92aZeNlfg1RFGvshQgfvC3YPDk/GYoGkK47yM0VWKoRrLVFIO8TrMS7o+8/DFt2fouqR6/cjCLMVBJZNi6xwDS2mn/JUH/17as9WLS54bbqkUlpftNTJgwyFDhgwZsjpZredVsVn0d2tzGOjt27el5eVniUncfa4CpMk6TCdfuAfQYyfxHd/Hw2dIskhto2dVJoeZEsGALKj9ft/evXs3wYbv37+PntfxeJydTeinF9Bj4U29vJ1XsKGgQZWH+VQwruA3eXUOTyYmlrMAE+NO7ce6+d/K83g8ziAzPw2FYyx5bvReBQmlsim9SpKnX4037t9q7eUhu4kEoPcq5INCkgqhRie6qO6eJ8d41Sdet7SHK7VNBbu7F8X2SKL8lvJMXn9CjNy7qZjMfL9qJ69P1TYJxUmee28vI/N2r/K/5W1RVq28lmJe6cLINCgILSQ4gpOE+add8I79+qnyiXnUgzD8Xi2PX/WUlpdHi306aYHQ0Xa7nWBCbSQm21C/0SB4enqalI8z65RXa/MYz93d3XSKxn6/n9Gt/YSMiuXJtHhVfTpIVv/75xTzYrsyxqXFnsqLbDC/E4ltoHyYnitc9uHDw8Os79JBplwkfLHpQVG+iPvin8QXpip2kmIvik+yPmw3pUWjQwqO8yTNRaarPk0xn6WFs1LoqQ28nk47T+2eJNWNbcBxnFjNP6OMBIhAAAATzUlEQVQM0hrkYYgKanzz5s2sf7w/luJu/03lNWDDIUOGDBmyOlmt5+V7U5Y0uns9DqnIgiCDTXBXggppBbs39PT0NLGqqsC//uZnuv0M/NM7csuP76R9KM7EqkgaYhW29m3z7y+//NJaa+3Tp0/t06dP7ePHj621b56X9h5dXFzMoB96Sg7Xktgh7+j29na6qXe3202em+pJy56itE6n0+zK+tvb2yltei30rvwKE3p4hCrpxXz9+nXWn7SmdX1La9+sZObpUAk9Xr1zOp2mz/SsZQk7qcfTpgdEj93bSr/rO2fH8hknNvn3yTM717pmGbjnS17Y5eXlCxIOvW4iEoRoCVO7d51Yb6lM1XPp+wSbOlSuckq4Bjkc+PT0NCMb0SutkBuHWJNHtTQeEsTsMChh+8vLy8gc9vyqNdmRjtfIqpVXOqPL41q+iDuert+cidfaS9aNxzF8wugdp7Am5ddj6jDvHt7NBcXrk5iUTq/ngar7/X5SUL/99lv77bffWmut/f777+3XX3+dftvv9/EkAIeICDNQgTPmdXNzMynC7XY7Yxly8CeDorU5U0/xM15VTygjHSysMxvTfVzsE94dp7pwAlfKi8J2p/J6eHgoYWkfQ2m8sG6iqadYbhVTVV78jWVO8Rpt7NZvHiusoLUqZsXxQiPIja03b95Mi3o1Z2X4nBNv6cUN0yLsY9IPgWb6af4l2JNzk5v8NT48Pvn0ND8lJLWBSwWxVjF8fU7GI8vJdq6UpQuV/t9WefmJyFQKEsfYSTvloHC8t8KB2VlUnj5wn56epkWUE5MLlStJp/umBYXfe2DarXaPc+l9lpve1ocPH9qvv/7aWmvtX//6V/vnP//ZWmvtH//4x2xvl58MzjJX7URPkp4XlSevVxFlnRMjxRAY6Jf1zkWDlnE6WHi/37f9fj87MYRtyLalgmD/eRm4ILP/3JOjd+HKSG3Idk0EA+Xji0HyVKhwfYHhGGGeNHbc6OEBy4xx+nYDiZRIUmyuIFgfemI9g/CcxbOnrCiVh8UF3fcHVuOV+Tr5in1K4s/9/f3s1moqTFfGLGcaH6kMlcJjv3nMWeJ9lYwjSVUejpXXyIh5DRkyZMiQ1cn/jOclce+kx+hLHgQtmORW05on3ESYjHj+/f39DNtPTJ1EyU959uIKXu7kEcmSlRdyfX09wYG//vrr5G3985//nGDDjx8/tv1+P/NI6DVUkKRbh4QNWWZSwf2KDbIfk2fNvxPtmXEueQn7/X7yIq+vr9v19fXkfTpsyFiS4EmddJHii96H58BxXmaPK+m5x8fHyJhkvEfjLI1lj4l6G9LDSmc1OjSnU0Na+9Y/al/OGYeFPA5SxY/4u7chy9kb78nq78XGe98zzp3YdCndtLY48kIUgd4WN9jTa/d8CKef61X6s/RYOWc9NlVBr0zHxzjnbGI1v9bzWrXySoE/wmfp2JrU+F+/vryBVv/3qMMShxBba9Nkfnh4mD73ArEMQKfgaWtzeITllBAuYpm5MFxfX097tn755Zf2j3/8o7X2TWFJef32228TYUOKi9Ru0nhT7MYXDodvE87Oiy09FuWxRoeV9L7fd8aDfqm8tE/t/fv3MwLKdrudKQ2SNFT/29vbtt/vZ0dZueHi/aH606hi/VPsVItBot57TNGp/syX4zot6CobYVD2KRUZ2//q6qqk3hOW8u0OLHclvohWSpv18hCAL/L6bYls4n9X8TOmo1gWIWW2G6G1Snl5HdI4Ur6Es5NS4XwjeaSqn9qISiURjlgG/Z/i317uKpa7tK4uyYANhwwZMmTI6mS1nldr+Sy/q6urGe02bT5u7aUXc27AMbnpHlSlx0dqdkUzddiQdXLohGVzK5dwUaLD73a79vHjx8nb+v333ydv61//+lf7/fffW2vf6PGC1uR10WLkiRKC0+hVel3YXs5Q1Pu3t7czUoV7N2wX0vvprbGt+R5hQ95Ndn193d69ezf9TcJGa98hTh7uejgc2s3NzeS93t3dzajuhEqSl6A6LLESBc8mwgW9vc1mU0KDFUzmBBj3vBIZhexNt+arMepwfkXJr+B8/e1MySREHShsj+oElZ8RLxPnnG/ATgd4q14VzJk8R439RIhJaIfK4ltsCINKmK4+u3fpebH8Gnupr87pv5+RVSsviU9SLWCPj48zLJ57f7xD2dA9mrOEUBLdZ03K6vDL5HInKM0HrJdFC47KwFgFKdtsDzEK//Wvf7XWWvt//+//tf/7v/9rrX2DDcU2fP/+/ezEAyqj0+k0sQXv7u5myitBiB4L83Zlun7yBtls6fBcKq/tdjtjLBI2ZHxS95O19j3+ReXFBZbxOcKm1UkeVMZ+N1di3ql9JFy42a96LsUHOVZ6xzRREnuziiVRPJZGBmna40TFenV19SKOmGIiLIvGHRVTes7L7LAh26SCwhweTO3oipT97u1E2DAt9s6O5FYXL69T8tPawu0cvjeVY8fr5hCt8k91UtqMx1XK1yFRSjqZ6GdkwIZDhgwZMmR1slrPy11ubqiTlc3AqawxBsBp+VWQiOeZGE5Kz9NNkoKVeofEinRaBcsmCyhtlnWWmTyLT58+td9//33ytuh5/fbbbxMURotZ+6fobelUi7u7u3i9iUOIDquqrR2W8M3H3PdCCI9pkfHJ/Ua08v1UDffWkofnJBGWzTdDSy4vL6ezGkls0VjtMV/5nPJ3T4XEAzL66MH/7MbPZAX7Ib2+30fCTddMqwf5JcKD6kavneiCnyOZyA7u0XBeORTmUnlliUjl9fHvEwxbsUy9nJeXl7P5S8/L73UjC9g9VgnPIK1OBnISENuhYnmm+qQx7s8lBuvPyKqVlyovSKK1+SR7+/bttDBJ2NkSZ+dUtFc2Nt30NKgZe0mDiu9o4PhCrM+JMaZJTXotJyk3y0opffr0qf32228zSrziXx8/fpy1lcNkWpRvb28n5cVFnPReLjK+adfp4H5yhd73e7+0kZh0dqfaUzHpO73jsTH9TqiNE9hhaOWv7QWE9dL2iZubm9mJ+Q5zpQXeGVtVjIYLnRswvkBT0S/FUT1fKs8e5KXfW5vDqDxWyMWhcFdY+uz1oyJz4yC1jy/KCYLvSc/Q6Bm5DsumtFRWLxsPAqDy0ik0vo2itZdbKSg0ajwsUjEpvZ3SGtZTPr7WeVn1/WtkwIZDhgwZMmR1smrPi9ZNCkjS8pPlS21Pi5cBdPcGqnPK9I4HZR8fH2fHCVVMOydvkFRQQVmEDStGEC3izWYzbUT+9OlT+/XXX9unT59aa9/2eckr40bg+/v7yWu4ublpX758aTc3N621NiMrHI/HGUmDVjFhHN8zUnlOzqyjV6nP1f4veVeCSOnJ8ggonqGYCA4J1iG5ZrfbtQ8fPsyC9YlMQk9SHkQisaTxqPc5rivyhFu4nkYiefAdseSWNglz7DnJg/C8nm3t5X1xLLfDjglm0/dpz1RvX6T/nzwS9yTZX1wPnJXMPk3fez0r2DSxCxM71fcy0vNifzuzmnvOmDffqdrGy8D3fT3k895WrGvlvb5G/ieUV2t5p7i74oT6Kqw2DVZfhPRZ319eXr5QcGSDJaGy0iLDc/74mQPMJz8ZbSkmsd/vJwX18ePH9unTp2kDMjfokg5+Op1mMCFPa2dsyxcWZ8ixXIkdVykypc1TtqkkOcnVTtfX17NJywNedSeZnpMic+VVxTQItVxdXbXr6+tZzIkQFcuvMh+Px1lMj2xMz48wn+qo9uGCWsUjZCzob2eqqWxc1KpYlkPWXre0NcJjgImFpnzSvPJT5D1u3VPUEvZJ1b80RCUVtXuJVu9wahXvYV8lRnNiYjKGr3ol2M+p7ik84r95OlW8tKqPGw2sX4JI/9uyWuVV7UGgcKGUR1UdTppEneEYfGtzOqovBlw4fdHhAPEFPVG7ac2z3FKeKY7CfHix5IcPH6ZTJVr7ptgY5yJJg/Em3R6stFM8wckCNBpIYb+6uopt70qNyut0Ok3loefE/VvKU54XDYjr6+vJ2+Qhw9vtdrbQOcGAomc2m81scfETNkj953UtqlNrc++iitUkS7ga875opn08PBGjF49o7bviZOyVhhONF0mlfNyoTMoreVt8vwr8J9F8Uxt4f1bebxVzckWYDIiewau/WT694//7WNDzFRnMlUeKJTsa4+n1FJajVsrTlbWXxX/z/M9Ze8+REfMaMmTIkCGrk9V6XhWdNW0+1P+07hlP4HM9y8BZN8yT1ojf/0RLmN6WezNLdHvCJoltyE21YteRKafTJXifFdlk3pYqC1mbjI84k4tp+UZiwpPMJ3kgqicvbNTm391u9+I+Ln3e7/cziEnl2e/3E2xIz0v1JwTn7S0hnLfZbF7Ae2obeYi8aFMeHtPtxWv0fQU5eTyNUA3HG/Ok55Vo5hxvaYsBN9EqjUQ7Z58SbpUHo3I7bJg8r+QJp9hp6qeK3VbFzNzzSnCrxzTpRTlk5uxQ/u+fmUZP5NGl55xS7+lyTCTmrwvXOrYbv6+8K//b2a/nnG95jqxWebWWYxLViQVqNCcS6HNqaF9gKtor4xnqaA5sTgotvB4nqxZOHyyksB+PxykWdTgcZscHcaGjIuFkrPBzUst3u93sxI3tdjs7Hkr5b7fbWcyLee52uwg/ke7sp3IwtlWRWXa73ezwXV8cWGYpLJI3fKe/9ynFIRn+TfhLUOG7d+9mRgMVLetWwZQqC0+x4G9cADwGkcYyF61kdHicMj33M+LEEtY7xbwcJnSozttI/1exNX4mCehc5cWtF1WM1hWEC9ckrgsOAVZKYWmMeNq+l8v7tmrPilzjRBk/got5V1LFbl8jAzYcMmTIkCGrk9V6XtVmOQ9qVwFxwijuPrtHtBSs5N++u51l4sblt2/fvrh6gl6IB1qVPxlsNzc3E4VdG2GVjyzGFAyvGFssp7wGWcv6m1Dl4XCYeX68ulxWqTwOQlg85cShKL1Pr8yty3ROoaDN5DVsNptIlXfvp/La+Yx7yU5Hp1eoq1d0YzPbR58TI0/p+tjjKSNsD/cylgL/Di32oLmEALj0KNdOUHAmX/WdyubeDmFBzjnWn0LIyzfS+7YXkhyqNkwbx92L8nd7EGI1z5MnLC+b76a1j2Xs9Zt7uf5bWiecbciyVKGcaq18LRtxtcqLEB73FfnkYUP54KMyoXCiOT2+oueyXK7kuEgy/sWYDmnJhIW4gBD2OBwOs9MuRMdWOVW3w+EwxYsOh8PstAwx59RufmeTnrm4uJgpQy2ipPRfXV1NcKLDhowr+eJKCJHKnG3g1PK0d0nKKsG1vginvS/sO7UhP6cLGpVGWmioMHXpJfeG8ST6ypigOKSZPvt47Skfj0OkBdbrltpGaSWmHhUC4SrWSemmRdxjwezTqp1Sm3AR5Vx25bUUS6oWcVdIPwKxJqOXkCbr6sorpSNhSMQNHAm3+yTlleKq3gaSxIZNIRqHjl8jAzYcMmTIkCGrk9V6Xh7kTQfutja35DzIWnlOfmZasjh7UIFbJ7RIuPFWHpHv5eIVE54/YUMekstrULjH6ebmpn3+/Lm19o1EsN1uZ5akiAz0QukFuRXINnQmVrK0vG7sN78GxeuiNPwg3OQRqT15vUk6jJfECd8Lk7wY5cMNue49JvharMTWvp+HKLm6uoqenHv5Dj+nTahOMKJ3zveZds/DY3v4KRIOp9PjIAmIaacDppXH0kZt5SXhPjr+5vCqey1LsLDDhF+/fr+XjXtDuX+THoR7bolAkvJhG/hYTrAl21jfc7xyPUyeW9U+/sy54oS4Xj7sU43jRPz4EVm18iIUVSkswhattVm8g4Mg4bMaXIkVSOXl7/tkYpnTIaPH43E26XnygysvZxtq8WeczOFJv9RRZbi7u5viMmTr9aBSDkqeNk+qPpWXDAu9czqdpjgdFevnz59np3hwEdtsNlM9WWdCoH/99Vd7//79VB+yEknVJ9VeUG0yQrzdfXN6mrQOb2qsibGpNuHhtVSSzobzzcyJJs5xrLgYDay0uBH6Vd8kKJfKwttD6bc2hwqdQu8LbVKMSYlVkiAnNxYdtk8M4SSVEaO0GZdm26aNvul9j+2xbNXRV/9fe3eQozYQRAG0EQvuf1JYIjZkEXWmXCkzSVb50nsbGDGMaTzid5Xbpo65/3y5XA5jm8a534s/+b2qr0qcjgf241/9tm6nr3ydtvm3tA0BiBNbedWZ5PV6PcwAprJ6rd+v5dUPWnd7lnG2OubsPIWpPdDv19ff2zz9RN7pwOm+3t80W+ttj1oFvV6vX9XK4/E4nLBbZ7VTK2yPeWpj9lZHP1C/X+fz+TxUS7UKq1+vstbX/qrtxb3oZD//fr+vtX62ROsJyPVk7L3ab9/f1dk+/2xqJffqebqsUH2N+7Gp+rzdbodWbm2X1O3UimhXstPXfpxVD+/3+3Bpr/28fVv326dFItP1P/uMvY69tpJ7O7DPyKfK67s223cz9L4oo7cHp6rj0/tZ93etOnZl28c2HUKYxvapIqqVV98ndZHZ2YKNqfrsj/fHptb0Wl+fp2cLUKb3bf/d+r88VV71s6CO619c3p/qaAD4D2kbAhBHeAEQR3gBEEd4ARBHeAEQR3gBEEd4ARBHeAEQR3gBEEd4ARBHeAEQR3gBEEd4ARBHeAEQR3gBEEd4ARBHeAEQR3gBEEd4ARBHeAEQR3gBEEd4ARBHeAEQR3gBEEd4ARBHeAEQR3gBEEd4ARBHeAEQR3gBEEd4ARBHeAEQR3gBEOcHTSizk5x80VsAAAAASUVORK5CYII=", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fL2), string(\"L2 deconvolution, SNR = \", string(round(snr(f0, fL2), 2)), \"dB\"))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 1:** Find the optimal solution fL2 by testing several value of $\\lambda$." ] }, { "cell_type": "code", "execution_count": 19, "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": [ "256×256 Array{Float64,2}:\n", " 0.156594 0.169293 0.168146 0.159362 … 0.0569203 0.0927654 0.129255 \n", " 0.149093 0.163959 0.164797 0.157759 0.0463649 0.0821585 0.119799 \n", " 0.141592 0.160978 0.167566 0.166534 0.0377254 0.0718776 0.109761 \n", " 0.135579 0.160979 0.175731 0.183302 0.0318073 0.0634383 0.100923 \n", " 0.133129 0.164734 0.188031 0.204305 0.0303445 0.0592057 0.095854 \n", " 0.135688 0.17258 0.203008 0.225877 … 0.0345144 0.0607912 0.0963694\n", " 0.143229 0.18401 0.219253 0.245518 0.0437037 0.0678691 0.102452 \n", " 0.154222 0.19757 0.235291 0.261861 0.0555449 0.0782747 0.112298 \n", " 0.166222 0.210975 0.249142 0.273632 0.0671055 0.0891791 0.123286 \n", " 0.176591 0.221361 0.257976 0.278566 0.0762521 0.0983751 0.133028 \n", " 0.182964 0.225756 0.258507 0.273535 … 0.0822747 0.104815 0.139863 \n", " 0.183514 0.221877 0.248343 0.256318 0.0855897 0.108285 0.142719 \n", " 0.177273 0.209136 0.227704 0.227965 0.0869963 0.10876 0.140857 \n", " ⋮ ⋱ ⋮ \n", " 0.22275 0.259751 0.285882 0.295807 0.122307 0.146767 0.18245 \n", " 0.209855 0.248092 0.277166 0.292069 … 0.110899 0.134412 0.169491 \n", " 0.201534 0.239417 0.269481 0.287324 0.104609 0.127752 0.162057 \n", " 0.200536 0.236726 0.2659 0.284429 0.105644 0.129079 0.162628 \n", " 0.204856 0.238407 0.265482 0.283219 0.113219 0.136849 0.169212 \n", " 0.209437 0.239824 0.264344 0.280821 0.123283 0.146341 0.176727 \n", " 0.209616 0.236685 0.25856 0.273746 … 0.130121 0.152094 0.1801 \n", " 0.203775 0.227607 0.246547 0.259971 0.129184 0.150691 0.176995 \n", " 0.193605 0.214314 0.229517 0.239825 0.11941 0.142205 0.1685 \n", " 0.182284 0.199946 0.210359 0.215724 0.103465 0.129492 0.157669 \n", " 0.172231 0.187098 0.192202 0.191462 0.0857808 0.116009 0.147219 \n", " 0.163974 0.176895 0.177568 0.171376 … 0.0698755 0.103762 0.138024 " ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"NtSolutions/inverse_2_deconvolution_variational/exo1.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display optimal result." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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XHwoenXnvvfeG97j1ddZZZ9kJJ5zQd9rvf//77fOf/7y9973vtY9+9KPJe7/97W/bEUcc0Ve6Hgb/YGK33XYrLd0NGzbYTTfdZC960Yse1DwUnMHwcH4fJ/3M1RRmZ2fNbPO+r+0NOVT+jxDnnXeeffCDH7QzzjjDVq5cuVXPPuc5z7EbbrjBbrzxxvK79evX26c//enKfUcddZQtXrzY3ve+99nMzExXOh62vmzZMjv00EPt4osvtrvuuqtyj1sGw8PD9qxnPcuuuuqqStj5L3/5S/vMZz5jK1as2Cb6y2wzdXjPPffYxz/+cbvtttvsuOOO66qvmXVZCueff76ZmR199NFh2i7Ar7/++vK7ubk5u+iii7ruHR8f7ytK7hGPeITtv//+dumll1aE4po1a+yaa64py/v7wje/+U3Zn1/60pfMTNOZiFNOOcWWLl1q//iP/9h3nnvssYe96EUvsksuucR+8YtfJO99whOeYNdee21ff7/vDc+nn366zc7O2pvf/ObK92vXrt3msH/c7uHYuHGjXXDBBbbjjjuWG8FxnOC4uvbaa+2OO+7oO78vfOELZra5Xbc3ZMvrIcDFF19sX/nKV7q+X7lypV133XV22mmn2WMe8xjbe++97VOf+lTlniOPPNJ23nnnMO3TTjvNVq9ebX/1V39lK1euLEPlly9fbrfffnt53+LFi+3CCy+0448/3p70pCfZS1/6Ulu2bJnddddd9sUvftGe9rSn2b/8y7+Ymdk///M/24oVK+xJT3pS6Te588477Ytf/KLdeuutZmZ29tln27XXXmsrVqywk08+2UZGRuxjH/uYTU9P2wc+8IFtbqvnPOc5tmjRIjv11FNteHi4S0t+whOeYCeccIJddNFFtmHDBjvssMPsxhtvtEsvvdSOPfbYpJa/77772lOf+lQ7/fTT7b777rOHPexhdtlll5XaLOKAAw6wz372s/aWt7zFDjzwQJuYmAhpmvPOO8+e/exn20EHHWSvetWrylD5JUuWJI8vSuGss86yVatW2de//vXk+Yznnnuu3XTTTfbCF77QHv/4x5uZ2c0332yf/OQn7WEPe1jXCSGMJUuW2MqVK+VJHCm87W1vs8svv9wuuOCC5DFID7bPa/Xq1bZu3bpyX9z1119vZ599tpmZHX/88aWF8/73v9/WrFljT3nKU2xkZMSuvPJKu+aaa+zss8+ubMUw20LFoSK2bt06W716tZlZebyb57N8+XI7/vjjzczsX//1X+3KK6+0Y445xnbbbTe79957S8Vv9erVNjo6WqZ5zjnn2NFHH20rVqywV77ylXbffffZhz/8Ydt3332lJfXjH/+4XA8mJyfthhtusEsvvdT23HPPMv/tCg9xwMh2BY9ui/7uvvvuMgIt+sMIuAi33357cdhhhxXNZrP48z//8+I973lP8e///u9hZN1RRx1VLFmypGg2m8Uee+xRnHjiicX3vve9yn1r1qwpXvCCFxRLly4tms1msddeexXvete7KvfcfPPNxVFHHVVMTEwUY2NjxRFHHFF8+9vflm3AEZcqws/xt3/7t2V4vcLMzEyxatWq4lGPelRRr9eLRz7ykcXpp5/eFULM0YZFURRr164tnvnMZxaNRqPYeeedizPOOKO49tpru8rywAMPFC972cvKCD6PBlOh8kVRFNddd13xtKc9rWi1WsXixYuLY445pisi0vt6/fr1so2wr9761rcWtVqt+MEPfiDbwPGtb32reMMb3lDst99+xZIlS4p6vV7stttuxYknnljZxuDt4dGGiN/+9rfl1goVbfi5z31O5n344YcXixcvroR+/75x2GGH9TVXrr766uLJT35ysWjRomJsbKx46lOf2hXx6li+fHlXtF8qxB/H1DXXXFMceeSRxS677FLU6/Vi6dKlxbOe9aziv/7rv2Re//Ef/1HsvffeRaPRKPbZZ5/iiiuuKE444YSeofLDw8PFrrvuWrz2ta8tfvnLX25L0w08akWxQK9wRkbG7x1PfvKTbfny5dvlGXYZGQpZeGVk/JHjd7/7nS1btsxuvfXWSlBKRsb2jCy8MjIyMjIGDjnaMCMjIyNj4JCFV0ZGRkbGwCELr4yMjIyMgUMWXhkZGRkZA4csvDIyMjIyBg4De8LGX/zFX1QOj/XDVDF4cnh4uLxndHTURkZGyh3uw8PD5UnY8/Pz5UG109PT1ul0zGzzy98mJyfLz3jywtDQUPl8URTlbzMzMzYzM1Omh285rdfr8np4eNhqtVp5CGlRFOGbjx3z8/M2Oztb5js7O1s+UxRFWbaRkRGr1+tlGzSbzfKFls1ms9Ie3nZzc3PlEUPerl42bDcvB7a3183THRkZsVqtVpaz3W7bpk2bzGzzKQH+pllu29HR0Uo+WDa8F/NsNpvlCwebzWZ5huDExER5PJW/rdhs81uEm81m2T5DQ0OVMwz9GsdUsfk1QmXZ+Blvr5mZmfIliDgevMzYntiWOI46nU75eW5urkwDrzudTplPu922yclJa7fbZrZ5/Ppv+IwaXzgWvUzRSfE+9r1dZmdnK2Xw+YLlxzkWpYnt4OWcmZmptIHnWavVZPl8fKj1oNf5lNin3gY4f9Sc9TywTXm8cL38GtsEr/GZoaGhSp5cZ5wXKeB9ng+20/z8fFkfXyd9Dtfr9UpdcYxi3+B61Ol0ynEwNzdXPt9oNMo5OjY21vUW861BtrwyMjIyMgYOA2t5zc3NVTRE1GBdyqPWglYW/vdrtGBQYzCLX1nhcM3LrzE/LMPIyEhXeTAftCiUloqa4/z8vM3NzUkNEz+jReZ1c828Xq+XdUPrCDUo15q8vKhxotVRq9VKTc0tPM9jaGioLGen0ynPoUPtDNtpdHTUGo1GWTbsH9S+0QrzMqNWGFmFaGnNz8+X+UaaOX9fq9Uq9UatFK0j1GqxDMgI4DhAzdrHNKbh9UYtvdPpdNXH22B6erp8xhkBft6BjEBkifI8UOOgKIqyT9vtdsXyY4sC66qsKNfyvdyzs7Ndafh/HO9cV5Un9pt/xvSUFYSfZ2dnu5gbZUVF8PmLzygrEeeOW8U49rhc6jOXDdcbZXlx2bmtojGJ4x9/w7LgvFjoq4cGVnhFE8EspriGhobKiV0URaUTkSZDqsNsyyBBag1/R+Hl96EJ7osBCi8G0wZq73itVqsMCBz8CF4IcEChcI6oTxQCPqhRUcD0sW0ajYaZbabsPM9ms9lFCWEb4CKOz4+OjpZ5zs3NlWUeHh6u0HFYDqeGzbopHly0cMLNzMxImqcoCkkh8n8eDzghkeLCsYNjj/PGMcDtjmXx55Ci5fGO4wgXDdW/aryxMFWLEQPH0fT0dEkLdzqdygLJ1KkS5l4+RZfyXGDhxQoo58mKF+aNdVX1U+VEwZpalLk/lCCIBKm3BY5lVD5T+aDyh+MA08Y1iwWWcmmwkhvVJxrjvQR8L2TaMCMjIyNj4DCwlpeZpgdHRkakNuLaLloXrrlPT09LWsrTYM3MrKqp4D3siOfgBaQamNrrRyNhp7vS1lhrQg2ITX1MV9EJXhdOA9P1a7SosM2azWZXYILng3m4hepBFJ7G3NxcaW01Go0KFeVwC1dRlxMTE+Vr3lutVmnh+Vhhxzu3jQocwfuQBsEyRRZ7RPGwxc1atqLZRkdHyzy9/tFcQFqI6R1PIwqEqNVq5TNumUTtxpat2WbLCx33aAWNjIxUqFWeZ4qR4Py5zRUiRkP1eSoNLmeKMuMyoRXJtJ0jCpTh9KLgGrZWO51OhXrF8dpPvjgO/Tn/z2kpy4vRjwXfD/4khNfIyEhlQVKLjQsIjIbxRRB9L9joPjjUAsDXvMhghB8KL8f8/HyZJ0/CVKfzBFHlYV9FtDgi9YJ1YN8cUnA8SbCtvJ4Y6Tc+Pm4TExNhGzDd6vdgPrOzs2X/YgRbURRdUWHe7o1Go0JDeoRTq9UqhZpTk9j+SKOmFkVcUFX0FdbH2w0nuor+4n6PBBb6KlFge51RgGPEmLfN8PBwJSKRF2320SmoyDmHUnTUPWpczs/Pdyk6Kg12BzicgozodEUbpgQa+zGVv4nr0O9btxFMUat5zfcqn76Z9nMj1R5FYkb9jfU2qwpgFFYRVcgU7ba0j0KmDTMyMjIyBg4Da3nh/ikOikBzHs1lpArRlOb9Cg52misHvkNpf2ZV7Ze1I0+X39wbOV+VNaD2pkSamtLsVT5YZ9fs3VpBCgw14VqtVvYB7qtavHixLVq0qNxbhvu3mHKLLIDZ2dmyDVGrRM3TLQu3ttDSYDoRx02/Viq2GVq8OF7QgY3wNlMBG6gJY1puaan+9TQdqH3jeGMrDNtj48aN5bNO6TH6pX04ao7by/9H4w0ZEW53bCvW7NEC4SAtbzceL8iQYB4Ri8HlTVGMqfVBpYV9iPlzoAwzPOo+ZjQcThu65RVRo2hhIkvgaSjLS9HPWH/FTGH5e9GjvTCwwgupLZyYUVSXm8/o8+rFz6rJ1mtQeqdFEXlRtFK/vD0PCBXCnko3Emz4GyoDY2Nj5Z+ZdfmikPLyyTg2Nlb6mBYvXmyLFy8uP6P/i30iuBkcKQkUUjj5kKr0RVtFdrJvgGnlaNFSCyW3G28dUPB0Ix+R8nu4T1Ut0JgXKkruN1T1Rv8XXg8PD9vk5GS5uGEIOLYBwsufoo+4nbhtorZWCoxqH1awsG3wM/tvU4pKL5dARJmrtCN6MfUZ+1QJWfVZAfvAFap+/Hk8PlW7sU+WFRnlusA27GcTfL/ItGFGRkZGxsBhYC0v3ieClBnSGexMR3pCabXsCI4sJEVv4DWa0xjJ5cDvt4bOw3tQg0ZNp19Lkn9DTdYtrUWLFnVZTq7ZY7ACUgv4/MTERBm0YbY5YAKtKNzQ6m3tVoDXgR3w2O9Mi6EFrqwjz9f/R5QGjqPI+eyflVWHwR9+jwoy4GdYs3VEG9IVZebt60EqDjVePU+VbyoajLV7tXeI5xhbNFHZ2ALFsiqLE/vd+81/Q5cARy6yJaf6hC1EtEC4nSIrOaITa7VapQzK8kKw9RRR0Wyt9mN1qbGvxj/OCwQzQVGQRnQ02rbgT0Z44aBQm49dcKmQYPSTcdSQohnUtepoBwoVRbmlKIhUBA+3QS9/jaerKBqmxnzyNxoNGx8fL88DHB8fLxcKM6soB+j/wuhCnIxMG2BkGwsYrq/fF50VGVGn7MdkOnBr6RqmhPulmzBtFMy46CEVxwtkJBR4ocMTQ7wf2L/IG9JxsVMnvfSKyFMLJ28qjig4FiQRFcU0KPrw3NfpYfxKoeAwcYeXLVKGEUop9bGK48gRjcmUe4ERrTVzc3OVdcvLxmdiRoiEDaeHZWDhywI7Sk/56bZb4RU52nHy4TExfLSMp+H/U4KEJyDmx9/7oFaTHZ2qkSN6IUhplZgvtpUaoCMjI12TG/2LHrxRq205UgoDYFhzRiUCT8XAe5Umz/u4/D+Gf7PFjItTZEXx4tiP8MITBtjRHvUd56P8mqg4saOc+wrL5O2o+lZtS8DtJK1WK1Tq2Nrrxy+B440VRrQWebF0zM/PVxZhbCNWYJSfO9rKEZXV64bfsXWA6ak54uX2emIdeD7zOFP143HZS1nwOihGQR2PhcJY+clZqY2UZr+X03IlNdpjq57px3+XQvZ5ZWRkZGQMHAbW8jKraiB47eep4etN/B7FZbO2F1lEEUXkVIUj2ljJZj5ru5ge5sn19WvU9vhsNcWlc32jEOWRkZHKBm7U5DBtrDdq3yp/LANSt2iReV/5NWuNfo0bwLk9UdPvx7/i7eD/I84+gjplAH8z20KtKv9kRN308lOg1h/Vj8c7nmDCpyREdYisSrRI0Hej/MyOyF8Sgf0oaBHhNgC2XtFKRf8TtlVE5WG+/jzOMeXz8jZTbAdbV0yX4lxUljm7Lth6UzQmv4qGrS3l38f1yMsVMQZYNqRasR8i9wTXZyEYWOGFnYVUFL5HaWpqqrLo8kTAgejXPECZPouc81guHNiRw5mf47TxezXAFT2p7ksNFp486l08k5OTtmkcAAZIAAAgAElEQVTTpspJ496mIyMjFW4d2xp9e1wGDIH35/HdU9PT05UT0fmkc/RzYb9h6D0uYFHbRkIM2x7/c9uZVfdpRc5x30elFmEOtec8Uz5UzxPnAQtD1W7NZrOLIlJHg/GCxvkr+gcFIYeps8DDOkT+vMjPxaewcFqq3SJXAy/Wng7WcWvACmvUhxGFH/k0U0Ecvp/LrDtIBcc/HxmmDAAvS6QAK0HI++u4rr8PZNowIyMjI2PgMLCW19zcnHxXEFKFSD1xRBFGeZlZlxMer9HhGpn2eI9yojoUbanoEcwj0s6YBonKFmluKesRLS+OLvQQbD6DDtNgqk+Fx6Ll1el0SroXrTCHU0TchkxTIJ2mypJyGEdOZoS3O2qsiqrEsrgFg9q0OvEDwRbE/Hz1vWORBcFjBNssqjdarDh/+Bw8tEZwLLF1oKhkZWkwi4DpRf9VHbD8nqfqH6ZDmdZC6hQ30kcUo6L5sa6cp+eLzyjmJBUgwe4OHO/IgjBVp9qQ644RqFEZkIZVm//VuOS1Karn1mJghRdShbi3hE9qcLiwUv4SvFfRGalwYQeb+Yo+4gWAn414box0QzqAqQ5FNSC94osf+yE8DxxsPpGnpqYqQqbdbpfRhkxBoGLgkW1eRpwkGCmnohVxAXX4Ys8TkyMska51cFtH1By2OV8zxaRoIWwDVgbU0U/eVoquYl8UpxnRSuqzX6vxVRRFhWpvt9u2adOm8hkUAlh+VgIwH0WtK4HL0aXc7mq+Yf+qo7j8t9QY4WufSxgtmAox93Ky8sa/qzwR3Cc4dvqhkpHWZeHFikvkg2Pfpyon9m/q5BoeVyl3hee5EGTaMCMjIyNj4DCwlhdbD+i0Vqc+mHWfh4h7OdACQO3BNVP8bFalEzh6LKWR4fcpzV9ZNHiPcqiqkyfUK2LQAnNLNIp2mp+ft8nJyUpgBTrNkf7CfURcLkVVFEVRoXhV5KGXRR2ozIcwY1siosgprms/37smrTa7RnSvUzLKGmAtn79X58sx9coO9MjawWcc9Xrdms1m5TUxSE8qyo3pPLa6kd1AYNmioCYFRcHNz1dfneJQ2ryi3Zm2rNWqEZMqMtTr6nVh6wbHoBpviqaOKH2Vp7L61brHfRUFUnA5oz7AtSWyvBSlqfotova3BQMrvJA2ZJ6dB5X/x0W90WhUjpTBwerPO52Bn5XJywM0OrGDJyxPRv+MPibetY7CBicwhpBj3dC351QLcts8sPw/Ls5FUVRC5/EYKRdYWBZsTz4wl4WY8nt4ntjWKNj8GjcpcxSbovrwPi6LI/JvcNtEi7oaRyxgETwOmMbBCa7SUf6MXguVf/ZnWOBgX3laON+8r9mfbFZVaPiQX2xbjL5k/xFHsKm2SlHzEWXFLgBerNV44bSwPCg8UVGOBDP7Cfm/8qGxwOVIxpSfy9Ni+jZaK1mZRqUIBVZKeGFbYtoqgnWhyLRhRkZGRsbAYWAtL9bClObGdAZbMSp6qyiKihaK1gk7NTF/FYHjYPrIyx/txUBtDzUdjErzOqMV5NRPs9ms0Iaev9NxKkrT24HL6QEwuJlZRYbhniu0cNnywvbga3QKR1QSthtaJSkrh6kK1npVFB1aNAhPS1E0vEmTI+PQWovoM9SkUZtGWovbRmnvnjYGIkU0KI8jdfwWR+NiHfB3DtbxfmcaDS051NKHhoa6zsWMLGgOZOB68W881tnyi4Jb8D4VWOJQ64Q6hgrvxTmDlg6yPWgtstWPY0IF5PTaf4V5RmXj1+koy8vbDdtCBU+l6MmtxcAKLxW5Y9Ydvh1FkHEaEUetDow1q9IEeI93Lp9jaLZ5wuI1c7+4iPoErtVqMqzaBw6emqBedT88PFwO9unpaWu325VXgjt48GLkH4auYx2cIsV6m3UvgHj2HAs/pXQ0Go0KvcGTBBewaEHCeqOAwGvMwz+rM+BUlByfnuHlwYmq0lLpYf/zwhQJekyL08N6K+GlyoOUs4+dVqtVOeEfxyeXB8c/KipMEeFpI9j32Nf8ZoDo9A8lvFKCDIUHKq9FUXT5dSLq0q/RhcD+yeisSPzM/ctjT/npvP5RfTAtnAcsuFS/4fNKsCraEJU1jrJFRYzrw3lvKwZWeCFUOKlfM8+OAwGDAvz76enpykkRvGBE2i/va8LOxgmMp0soB67/hgu5C4KxsbEuoYBBEv4aEhZeGGzRbrfL/VS4T4wHOT/TbrfL9uEtCJ6nlwWFrAsutHJUPdnPh69BQV+fCkDxtsNJi5YB+9YQ7LNKBSZ4frxQoWWNY0L5+bjcHKzBi57Spvl7ro9yhLNfCccntm+z2bTx8XEz27zHj0+v8TyiBYnT5vmDipS3S6fTqQgvDKRi36dSMnEucX6soOAzbCWj5Y+sDI4j5bNmK5l9ayqIwZUBpQxjm6b8Wti+vNUF+zqyPiOGiK0j7FNWUtHHi+VmVkT120KRfV4ZGRkZGQOHgbW8lJZilo4sm52dLa0t1PqRXkH/jp8woKwtjhSMaEykA9DSYU0PqRsMXUZNGK0bt8iQ4vH7xsbGKu83wg3HjUaj4vNCywepTnwGLS+kENGK8vd+eZk9f7eUIstYceZuraL1EZ2MojRtT0tRbmqsqN/QYkbLybV/pQ1H1CD6Ax2KxkSriX02TPspsDYftQ2/QwzHHo4jPBsU+9otJaazHOrEEJwDXAekBnFesCUc9RVHBEbWFlskHImsfDypdSbVzsraZp8QRtGabZlz2B6pcwojqyrVHhEzhddsebF7AF9Fw+2k+jfyc223tCEPKmVms8/LBZjZ5gmI3D0KLBdwvpigD0GZvzypUkfSYPmZR/YFf2xsrHzz8MTEREkHIm3oAgKFHNKGnhYOXB94uG8N97152ijw3Oc1OTlpZhb6v7j8nhZz4SmnOQv8XhQeO6lT9IQSFmpCqXGEE1udeqF8aKzoqMWMn2dKk4Wh8sFFafp/5d9IUd6jo6Ol73RsbKykmPkFh/w52jrAAQGR4qHq5OWMqDr1bKptUGFVQVYovFRoOdPHEXUZBZlg+Zx+xjGiBCVvZ8FyRvsnuX95XGFZmPbD+ql2Q5cA+/Z5nKdoSGyLbUWmDTMyMjIyBg4Da3kxbaHO+PIoIgcGL6BWGNGGfL4cR/o4OPos0rKxbEjVeHQhWliLFi0yM7Px8fFSE0Y6zmlD/MxRWmbVUHnX3tHCQqoSrSV/xkPrnTZst9vy4FbPy6z7FSbYXpG2jdf4qhXV1kr75nsjC0v1IVp1SitUFHGkSUY0Xz9apqKesYxRJB3TRVFeEcWE8wQ3GWOwUL1er/QlzzkVoMB5o6Y/P7/loOFo879/VvQvXrPVwlB0LlteEYUdQVGDitZlyxHXEqRb+b1syorCMns+UaBKZPVg3XqNUfxNWVtR8JQqj6Jrt1vaMKIK+R1CGLmE9yHv75PRr1koqlBdNsU5LBQPn40GEkYUoq9hfHy8pA3HxsZK4dVoNEphxSHoqT0WLBiQrkThhwfuejlnZmYqv42NjVWOdGIfjdcZBz5TaIqbjxY91W7qBZo8iSPlhikVprawbTD/iJJhAawEIQseFEpY72jRV+2hqLSIAvL7ME3sD0Wvm1XHivLXRCe1KGHBEYr4G/sXI+qRF++IkkdEfi6k3HjssI8olTampfbEmW0RyOi/csUvOm2iHx9R5INjvye3eUqw+T04lqMIQwWk0HFco9KSacOMjIyMjO0WA2t5oRXEh/GimR1pIBxkgd+zBsPnzflv6nm/L6IdlDbjTnKnDcfHxysUols9fGYhb96NIn04qAG1T4w2RM0xCnzgMxQjpz1TJVF6KZpPPcOaKlN/keWF10yjIsWq3nDs9cA8o/o4FCWD+UbWVkorVr+laFBlTXFa2FdYdn9GWXMcyNRPgABb1mxdebtzeTgoB69TdL7S+tGyVjSZKjdbggqeh4rCwwhSHGtcT7aOsL3Zmo/6Tq11vcZRFBQVWV5RkAiyVwymOlWdtwUDLbzYBDdLn6rBCxoiJcjUYMHvcSKZddNEuBjgtQ8Ip+UwcpB9W2bVQ1NTO+cxCpDNdI6eUtQaDnimNnAxYErGrzF/92eoBSCiMFITzuvkz+M13qf8C36N/cZ0Ggp2zNu/d+EXLQDKv4F0FebF1yyUOMqsn8kebUvAtuG25CgxpdyoOqj+YgHldfByMYXNebIgYloUqTqMKo7ofJxn6t12XBdPA4UMfh/1D0cbYvqK6kz58iL6mfszSiNa/7gMeK0oVex7RR9HSpTni23g5Ui5XrYWmTbMyMjIyBg4/ElYXqxNR05Z1JIxwglN3hR9xUhFlqnfUIPBo53Y8lKBGV4fjpCKtF8VccmO2Fpty3uymB5hy0tpeCn6SlGIqq2itDifKCAgOp4GEZXTLa/I0R05lFMauKLqXJOPxkREt3IZovHGZYsCNpQ1jjSUf1ZRo/z+O5xbzHYgcByhNs6avrL6ca7yM7Ozs2XfRwcJqHyiAJQUsDzI9nBQFm6kV8E6aM14UBQzBnwfPu9tk5pbmAaWTY1/fhYtRD5oW0UVpqwoDq7BZx8sy2tghRebqOoQVKQZvNNxA7IawMr8VdFOOFBYqDB1g4NAnaLhZxHiCwH5ZG1Mm9NVbYLfoRDAZ3CHPwo8M+uKJFP+GkR0MKkLPiy3oqi2hf9mf4aZjkBTPkkFpsYU3aPozIhKxrZlpSElGD1d7C8WeFFaRVFU+hG/j8YHt6OnjVGmSF83Go0KVa8EjgK2LW8EVnRaRDdzekoBYWHA+Xu+/n1EAXqZ/D8eWO1rSVEUlRdvMjUfKU7sV8X8FTWPVLRqH1xneNxgX6l+wzIzRR2tM1gepixZGCrFdqEYWOHFQsURcf6+oPq9MzMzcoBwh3LYL54YgYMlJbxQmOIJGRiUgfu5+ADeaPJxHVWeijNXHDpvCcCXP6ogB9Vuaq+dCgZQSgNOch7guDjhJMO6+GKIR+w4MD3+Hv1zWK7R0dHQ2ozGGOYzMzPT5TtS7R4JMXVfNN4xfxbeij1ggYdp4zYJPmEefbLT09NyQUSgRebjUJ1O7vd6WXj7hVIe8Rn24bD/NtXGnicLEmXJI9uDrxYy697rpk7PV5a9CmbgOcZQbAUqiEooKYUgYqxSCg0rCtzOaoxiWrgG9+qXXsg+r4yMjIyMgcPAWl68u1tJcdQM3HpIWUueDlsokUajfGtMPeFnPL1gfHy8sil5bGystMSazWYYVciadKSt8bltWLfItEerwSkRfwWKog2ZXlF0wvz8fHgqQERHKAtC0SPMyysfp9cL393kUBQxlsn7gMvJFrinod7x5PkrC1TlyW0THcLKbYZlifyQmCZTiDzmvf74yh08sBctLzxclukn/B4PdcX5y9YAR8Cm/FlcZkURR5QmuwB6WQRYTrY05+fny1NoIssL0/b5qsYBtiH3J/dpL4qV687PY7nYSlZrC6fNaal5iqwK+yAXgoEWXqqhsBOZyuIQWMXr9uubwE5ggRXdx287RpqQfV7Kt8YLb1RWPsKF92go4cGDGmnD6ASFaFDzJIp8Ihz67PDJy9QhP8+HJmPZeA8bChi/xxc2pBRVaDhTr7wgKboTnftOxfXy66lx1GvRYD9IdJ+X3f/zuMb2xXojzc3HlPmhvbg4YVk41D46TghpPjy1xRfrlD+awXWLqFMssxIkEZSQ5/owFa2URW8bnOdKKGG6yp/Xq56+TiihzzQprxPqtJmobaIYAq4DK/0LQaYNMzIyMjIGDgNrealNumbd2hlrM+zIxN/8e6bFlNnPmjnnH2k6eKoGvnm40WiEpztgXVS6/AxqePV6vRK5GEV58TmFrBWrKD58PoLfE2lsqHk6peQUF5YhioR0etPPqlROd9R+U2faRfQV9z9bnFjOiLrB9Dg4BdNORV8qC0vVWVkH7EzHsYJWIgdF+DW+Ow5pbW8rPGkFn0ctmy19pODwsGd1Wg62I6eN6fIm8gjqdzVGh4e3vJoHaU+fu5hnLxpT9YcaB2xFpajBiGrEDfL9WDtoafGrTrDs2L/8fsJomwZDsS3bgoEVXqkFAK95QCl/TeR7UWlGVFJ0WnQkZNVL3SLfVj/7IXDw8mDFvTp8sCb6ZdSki/xNXM4ILIiwrXCC8MswoygtXMAxos8nDx7/wxQl19Of2Rqw4MKTHnBMqQVI+aJwrPA4VvSPKo+DfXQR9cljHxe7TqdTaUNMG096wTE0OztbeWll5PPy3/0/Uvr+vKKCI5pMbQlQizvWQ9Hx/jmljHLaIyMjpTBXCmtEAXJ/pPxr6nmuS0RfI1Ah4XULofbAeXqoyKHwwbEbCa5+17CtRaYNMzIyMjIGDgNreaXoQdQ8lUPUf1NaC1MzGJkVBXAwzcand6BFofa54EZkf4Y3qzpQY+b9V6yxchu4tYflcboG68l7vjDfyJLkMuP3qkxmcfCG0vxR+/UyI93kv+G7yhApa0T1r6IK+XsG3ofjkNsHx6LaYIttg2XDemKe2J7YP9GBqqoOvPmV70NaifsPo1PZWkRgGyAVrKwtrhunxxvhETi3I2se6+FzRFknaM2PjIzIPH2OqkCxyLL2+inaD63syKLj9hwaGkrOfz7Qm/NEywkjab08is7msdfLivT2UJbstmBghRcKCLOYw8bBiwtKNAjw2hd0jBCK/D0RRcQUHvq8eEDhQFDRdYrqUPfxAGOqVA1EPiGDNxnjRMdFDAWeovn8NzUxkfbBCeZlRr+CijhD/wgrFvi+Nq4r9ke/UaeIiAKM6B0GtkdEmTFSEV88lpXyFi1aHMGGxy6xTyISxuyTZH8JgsPgufw8vlB44eZ5VmJY4KKft5e/x+clCilcJ7zMTFMyBckKrD8T1ZnpNDXGVXShUhCQhmU/G27RYbdBRFkr6jAFXxsjGhOv0ae5EGTaMCMjIyNj4DCwllen0wm1gYgiYq2A94D5936fb26NaKWIymGHPkYocYShX7NWqCwqFWQS7dmInPOYJmuIKuILI638v7K8kLZADZW1QQ5mwTKjxo8bkFFz5D1nbOFx2zsi60q1Jd/HFgCOnZmZGakxM+2IZUCKF61cTEvlyzQX58NWf6oOPHYj6zFlQUYBAipPbmOOakTrCK1FLDNGt6HWzmMKqXE8JzQK8hoaGqqc3Yj5RiwIWojOmqC1hNYFWotMlarXuiCrxGc9Inge4FzDeYkHLHMkocrHLS81hhFMrzJbwcwOlxM3t28LBlZ4scBxME2HC1QUwWZWjbpz4ID0NFTkEsI7XYUY41lxGG7slI6i/lK0IVKNSElG/L2niwunC6xOpxOGK/OJDGqxZ8HuA9PzUz4eTHN6eror2kstbhiliXVRVEd03h4vBimKhuuW8m/wsxHtyNGTyvfjYwjTwDZQyomXP/KhpXxeaoHk60hIMT2vfLmoBPLzSNPxKRzKP+tt5b/xCR++YJttnmcovJQg8pNE8JAAbFNFc6FSqqg4tVhjX/up9Nj3ahzgOpfyEXE+Dp//SjBjmkr5Ve9Bw3GELgAfh+gbj3xbOPYXgoEVXpGmYVZd6LAxeYFTnYhanNIa8buo8XHSscDyaww9ViGvvRYT3qEfTXoWXrigzczMlIeL4j4v1vZYK1QLaqTVe54qIIAtFbYG0AeG9+EeNvYFsaDm9lTCM/IhKKT8TdF9Slhy+3LZlOKEComyvPyZSHiptL0Pevk0ELy4NRqNyiKIjAIH0OCWBRwTuFBGjESn06n4S12Yse+U31LuZcBxhFZ6vV7vOnjYgb41tIhQILilp/xkrJCi1YGBLviKFfwehZrqB6VEsWKeCkZRCo23Ia6jDp6LbJ3huoOsjVI0Fors88rIyMjIGDgMrOXFG+SQulF+DxVVxj4Pv4/9X2qDaxSN5uniC/3wfDjc6MnPK208RdUgVYi8NnL+rBFitA9ThagJMzUYUXDqRZls6WAkIgOj3Lws7Nfg/uE2cERh1dyebAGpSCgMi+boucj3qahLzF9Zp+yfjCIWMR+kClO+CbYAONLNv498daoMniePawS+ZNWvnUZSDIeZSUuJT/Jg2hCZAo6GVeOyVqtGCDMVjfQ+WnjKelVWB0bxqr5Gq8XL78wHU/hefuV/VusOroF8mDE/E1Hj2C4c9ZmiLLn+/gyuO7geed22W9qwXq9XJgIuQLjosSkdDSo1wPw5ZY6zgxPpSQ5RVmGqTG9Foa5YTv6OabtUkAaWH6nCiHrByRMtgvwCPtyfxRMMFz7FhTOlgv3A/gQ1kbzOimZNKQCRUGUfAtdDCVAWktxmqq/wgGkMFsJrrg9TiJGQ87z9PytJWDZ21jPY58aHTGOeqKAhNY7l4TcVIBWM6eJ2CVRYmVrDsdfPUWusDLBLAK8VBczjEPs7yof3MrLfDoUFBi+h/zjqe1YMMEiE6WM1R6K1hJ+JtjhwGv7Z6+rPNBqN8PmtRaYNMzIyMjIGDgNreY2OjlYiciKtkk1+NPtVkAdqHSo0VUUE4vNOTbAlxmnj864lqQCUiC5KQdF2DqRb+PUTqClhnhx9GFEvinrigA8VoeRgiwE1NKYSOS3WelP0m8OprChwQ4X+s1XCh9iq8eFBLkjhKGc45sWUSmQ98pjCMqaCS9iCwHL36h9nE/Atyzj/+CxNrKfnw7Q/Wl5urXn4Olq5/sz09HRlkzK+1RgDBHgsKqvf66+YDx67fs/Q0FDFMvfv8Dmvp4MZkX4PpkXLHhmOKHIQLS/fBI/BIIpCZ3Ab4FiOTkOJ1qqiKCosTS8Ksl8MrPCq1+tlhyiaw0xHcinhxY2OgyU6/DIyvxVdphaT+fktIbhelmhQIIXAgzWaTNExNsytM59uVp0UXDa8N1r4mcKIqIYUVZFaeJXvhuk8pt16+Sq5rfAzvp/J+0OljbQ002IYpclbHBwpAczYWoUmAi/ctdqWbQ6cLvpXMXJ2enq6Ms9wvCJ9jnViSl/Vx/sKhaaK4sVTQebn57uOxcIxoYSXL/AuAHGM4NiNFnQvfyQYcY6wwFJKlvsUHSwA0betfFkoYKanpyuCPfI/KwodKV61H83Lg/ljGyC9mTp1ZVuRacOMjIyMjIHDwFperHEqLVVZAFFgBmrCrFWngiw8ragcXE7UZqKysrWlaALU9j09rAPWG/OINkNihBQ7XtFKjCKEFFXo90faK+/RUo7tFKLgDbNqu7PFqoJZ/DNTh2ZVK4rPcEtZi0zFqQAQLqeK+PRrVe7I+e7/U6yE/2eKVu0Jwnngm3pxP5Zr96o8DqZOVTSpigZFYFvhyTVI9XNQA4KtIrMtkX4qSjkKxOAN5Hgf08wqyEOxLcoSZbeDepUS13N+fr60nn0uKSuKweMLrWlleXF0Ia9hXh+sAwYoLdQaG2jh5eiHu+VNkTxhooUuJbzUtS8YKvLPy2GWPuaIn0e6Jqp3atJH/g2+TkViYnkU3cr5MIWp/FeKfuD2TCGlNGB9mF5Ewc+nhyhKkukQ9jWoMrCvEcuLY4IjubgeqZNS+HlFXStal9uJ/T2YjsrffV4Yjo5trV5smaLLIj+1n0iB/k68F0+xQWqQIwcdUVSy+4iwT3CDPC7I6hQbb2dc4JXAYkGIn/ka+wCVUj7qCdtX+R39dy8bUoisbEV0Oo9R/B77nevG/mVPmxXwbUWmDTMyMjIyBg4Da3mxdhOBtSs0eRU1xdYHao9M/0URWpHmh88gzedaoIrcQ8sLNza7pqM0NA5KiGgyhmpHtuLQ8uKDb9V5bkytshXj3zOVgeVmq1BpbCogRNG6SF3x/RHYCsNyR4EqyvpF7VVZjUzjpgJaFEXl5VIHJ6s6qLJh3XB8YVl8E7wKNuGDih21Wq0ShMDzF61hpLV5HCj2hMch0oZMvSp4BC0GUDnQomFLMmJBsG5ctiiAjNkBzJM3+KqAGLwP29rpWQ/SmpqaKu9Dq5br6WVkMLWOdfM0Hb0sq4VGHQ6s8DLbuk1uvLilFnjm+fuZCEyvRBQPRgdy5ylhiBMRB64SXhiirM42ZFM+5TdU1KIqmwMpGaYD0QeHNIw/5/f5wI+oM86fo/aYBlVl4zbgZ9R9PD6471MUnl/zYo2TXJ0p6f2uIhSxfkyHc3ReJDAjIctjXPm85ubmusqDdDj2I0cb4sKIc1KNN+WbUT5anmtcblYsGayIcD8qBQKvvS7Ypmr+ct6s7GB5UJFF5ZUjgXEuKIrW55ULr8nJyYowxHmJ7cTzRF3zvOR5ptqat5MsBAMtvBz9Ovfxf+SXSjngU5pE5ONCiwR31GMgBueNAxb3veCxTzzoa7Va5WQDXjT8mciPgQ50Pl4GBzIvFNFCw5qnP+d+DE9b5ZlSSrjMmB+mwUEiapJiu2BdU3n64oGLU+RfxOeVg5/bg085QW04EhYRA8Dl4fTxd1bkVLAQ+ltdeClhyCfj4ynqWO/I34pjgi0h9CtFAjcFtE64zaIxHim2XBe2ZnG8oBXEPq6I/VHPu7WrnsHyc5AH7vsaGxurnNiBbcxWopoLHGSV2qumrH4WcAtB9nllZGRkZAwcBtryQjoNNe7Id4PUCfsAVGSaWVXbYgohiqYx05oo+xCYu0afAh4SqiwvzMPL088LI1W+nhaH1as2wN84YktpqJ4Hal6u+U1PT0uNzNOINOrIDzQ8PFzRzBUthc8rv1WUD7Yt/pbSntHKZ/9ERNHi82wlR+VliqrXM2qM4/hFmgrDstE/yW2vLFGmA5laVpF2TK0zFL2o2pL9tFhGs24LAu/nNowsfRy70VxE5oQpc2Wx+31M/WH5leXCaWP5+TQUpxCLoqicgYhgi175wbj/cZ6jNZ2aywvBwAovpDQwVBYniKKOlGMaJw9PPv/O/0e+D/b/IF3igwWFLA5QPz2b99H4b+pgX+aUccIwRYVlxAUROe9I+Hg+aqJGJ2ewrwapDlYgPHSXKTv2CyGUk5kFLNNPSjCzAsITLPKVcL642GK9+Xn2z3E+7I+MBAS3AfY1Ky5qjM8aFjgAACAASURBVCslAYUXH89kZpVgC6evkNpChUi1LysQkX8QF02fy0rhjMLe/R6c58pnnRJuLLwQigrD+vrz6ogspFFZOKRoUDVH8XuzagAYH4/F6wkKL38Gt+5EezkVcIxHQgrHMVOVC0GmDTMyMjIyBg4Da3nhq0aQ6mCNGw+kRG0pZUVxpJq6j7Vvfh7fPYSbKTFtfG9Ro9GoUDR4egC+ViJFb7IWxN+7pqVoQ7xWtBRql0g1qGg2vN+1evwtstwi7RNPuIjqzHQet4EDLQDWFiMnNQd88D3YJ0jrchCEsqJQK1WWVxREEEVyseWl6o319PHg+fB74TBYAJ9hKhWDhVLWbD+RZhEdh78x1Yi/cz9i3yl4e0ZWM0JZJRz0wm0YUYARDcmWowqA4ft4rGBd8D+6JHjbAR8QvjXw8aDGv9eD66PG8NZgoIWXd9zw8HBlEcRT0x2+0PKk9ecRzMUrWogXHTaLka703/AkfJz8jUbDWq1WuQBwhBFGKyEinhzrxhMW24App4iC48UoojEiSgWpH0wPy6n8UiqkPhWhhPQm1oHLiMKK662EJI4pL6fyK/E44oUGhaZSonjRZIVI9YnahxTVWy32ngYudiiUVDSZWqydluI5x7ShEiCs/Clq37+P/EQOb1vlT4uUDm/D1B4us+6j1rj8ShGM+gCfVWlGEbDY35ieOp3FTJ/mr5Rp9Sx+x4eI+zW6IFABx3HDEbXKh7gtyLRhRkZGRsbAYWAtL4x+MqtqKvhKB9ZM0OpQB97y/pOUpqc0bqc6UFvztJvNZkV7Q1N+dHS01F75lQ6KzmAwVaAi21ybVzQKa+bshOaABf+vqCjUzvjwVbZilJMc7/XyoCWLFg3WAYMK8De2+lLWWxTg4N/7HidPA60T1tZ5TKH262DqJrK8PB2ujyo7IqKiVLpcBk4v2ls2PDxcoQ39N3yVjM+/yNJXdVAUoKKW0W3Alj7vWVRtyPQxt72yiBAcXINzjtcTtEAimpotNKwL09zRwb7+vO/Pw7GM1pLPmV5zwuuGVD8HzaGLA9sAaX8+1WMhGFjhxfwqThJsFKZKUHghTYf0FW+cxcZW9ArSlv6cOpy00+lU/EUYHcQv7lOhyzxBIqqPNynyooUUAAp3nlj+PEYl+neeDwosFT3lFCouosrPxfQbChkUVhzt6O3pUH47pDe4LEgBMhRdhO3o5ca+Ur49b0//TdFhDKa5FeXk+eMz2N9cFyXIOG1+Fr/HCFpWwjA0HH0nHF2H4xLbLaI6o3pHFKu3Ox8gm4L3m1LUUu3GNC72Lx+Ppr5nOj0C95V6JvINqvUQ5xkqfKxI+m/4Mks8aAHXJl+/8Leo3R8s4ZVpw4yMjIyMgcPAWl6NRkNqIKwZoNaEWilaXhwRxJYXWyFm3fs3UOPvdDqVNNyJjRaNP2e2xXxHk1sFhrC1xxZWpIli2yCNabZFY+t0OrKcbl2pvUMcRYhpcnRRFFWoqM6RkZEuKklZNGjFsdOf201tpnZLIKJREXjP3NxcF03FwDbwPTRYB7Q6cIxi22IarHGjZo3f42dFPSqwZq/o2qLYsqHVGQRFbUXBCj6POAqO72OktPfIimPLtlfAhqeFn5XFi2uBoh0VVYj5clo8TyNal6lWptU5H2YKeOwg44PfeRvOz8/b6OhoxdLGqG2ccxzco8YoW88LDdRwDKzwQp8X0ldIWyCGhoYqm4R5IyEKPAy1Z18O0iPY+Xi4KgpJXGD5HV6RzwsnduQX8nBcFfXG9eaFl18L7v9xceIyKr8EC0ycfHx+IX7mdDwftbhjO+B/dR1RgDwxI0opJbzU5Gew3wHbFoXKyMhIJeo0ogMxojbl+2GFSAlTXOxVfmqhYSrcx4ULLxzzOA4iHyArNapsqg9w/Kp+iKJmPY3IZ4W+W35OPc/tHCkJUT05DaRRI58Tp83X+LwSmC7IVZ/wmHDl2cuPUdve9xzZzQqnWvciYbxdh8orXwNaCXwic6fTkYIIXzWC8E5Uz2DaRVE9KWJ6elr6WFgjQ6GER7hgIAQHjeCzHO6vrCCz6iCJnNEovFD4u7YcbQtQeeAgZksvgvItqIUqtchEZUKNP3Kmc9qcDmuO2NbqGXW6ixKs2L9YZ9bwo3rzgsWLtVIuImvT01ABDvPz8xXh1el0KoE3WN5IqHAfR8oKLqhRfaIFXVn2qQAZzE+1AfpYozKz5RX56bisXscHA9H48N+UlRoJZi+XtxUHJamAK2Qz+HmlMHhaC0H2eWVkZGRkDBwG1vJCa8CsKtHVzn/nbVHjjDYloqbF2gVuwkPrCjcDolba6XQqmiT70zxdLCtG9yHHzP6IbdHaFK2i0sa2YA08snKUVorUl9dbadLsv4p8PPwMIqJeWPPkduuHj+/HP8KUHfsj8Rm1ORvr7Hmojedm3VsQ/Br7N9LG+R7Pm8uDYc34ni6nDNV7yMz0gdnev4pWQipKtX8vvx36uNQYVhYWUnb4nd/Pa4AqE/ullYWhxi0CyxtZQdhXs7OzYZSeska9r9EajtqTx7T3L1vQ0fmM+JktVs7D010IBlZ4RYsGNnS9Xq8MjogC6AUVVICDAHeN+4vfojeK+iRFJyhOYi63l9Xvw0ULBUZUH5xUTEHyBMRJHnH1qeNplP+t35cQYjt4XZRCgei1GCiwr4Jp4cj/FCHyNeBzOGb8e6ZZHHgP097Y1ymfVz++G6bvUGApWhiPWnPBhVsrFB2HfmVf2PBdUqr8+Lz3j6KP8TkWntFc4L7H+1mBiYI8Uj43XAOwfyNlIqUURooYlimiS3spNMq/iAqVf48n+2BdnT7G9cjdDpFyzW4Fzn9bkGnDjIyMjIyBw8BaXpGmwaHcqEVG1FjkuHQthcPTOU80f5vNZlcYMd7nmsrU1JRNTU2V19PT0xXtNTLzUdtEK4g1PKwDaoGR5YVh+HyChaIHvAwIpFR5I6OiWLEOvPkY6xEFmTA4klDRKEy/YX0iLZvpIHboq/yUY7pX/2DZfCsGtqnfh0Ew2O/eTpiP0oRRY/Zn0AJQ59hhQI9bXRxNyW2F9XEqHMuD8xQtTg4wUtZsVDf/r6xcbBu21PBzP1Y79ge7HWq1WtcYVnVDao7XJtVOilrdFuvF6xe1DZ/KgVYZrxMYocyvVVHrmaKstxUDLbzUdXTwo4ooUoOf/Q54hErkG8PrRqPR1Wk+QNH/MzMzY5OTk2Zm9sADD9jk5KSNj4+X9+Hij2HezMurhZf9dFGZMW2OXGRw2LRZdT8YLia4a9/bLKIk1WD3ycv+H7+OEIXkRouOLzKK9uM25AUE70fqFJ9R4cmqrDzesM7RRE/5YZTwQh8TLjJeT7XYYj58AgtHp+IijPC6u/BS8wy3neBRbdxOmB7+hgJX0YyRLyhFzan88DPT5FyuiLaMoi9TzzAiH6uiNFlYq32ODla4VF1R0cC1ltch9umzUoH3bisybZiRkZGRMXD4k7C8zLpPQPBrBzsuEUozM+t+PxKe/MDaumsUzWazonX7/jJ/xjWVmZkZ27Rpk5mZ/e53v7Px8fFyk/LQ0JC1Wq2yPKy9Yvmw/ooSVZFxiqaK9s15/VCzQmtJUbd+H7ZNrz0dqIVG0WtYJ87HNVcsJ9ZNWeHeHqhJRha4w59RFu/8vH5ViqpfP4jamjd9czmVQx7Lyho/05BRsBBSvEzzqr0/CB/HHlFbFEVlXCM1r6g9h9qjxFG8TO9Hp3ng2I2s+8jyY2uLrSDlhlCBNeo9hEiVMmsQWZJ4reqi2A5P08uGLgT8zIyAX8/MzJR5zszMdFlVOM5xT6wq+7ZgYIUXAwcyTqQoOo8HAXYyDvyIuuFrDqH3STo9PV1uYMZN0vPz86XP63e/+501m015IjNuoEZh44NaTWCecDxIlK+BX+UeHeeEYApQlcW/j6gzFZLM0V8sTHFxYyGCv6n+ZR9K9M4tVDSU0qN8JCxkI+EVCb+hoaHKAoabxXlBxef78YGwbw2/T1Fe2B583Ut4RZSbA6NrUehHQj6i7TldrBP7OHF8sIDAZyKaW/miWUCwMFVtwMIP5yJHwDI9GdGDSnhxHXjsYT58hJpqN/ZP+vOdTsfa7bZUDsy6/eie1kKQacOMjIyMjIHDQFtekTMTLRB2uivHcOS09DRcg2AHpYqC8r0trt1gwMfU1FRJIRZFUVpeDzzwgI2OjlYsL8f4+Lg8QJijxPA5tpZYQ0RrS701l7VAtjzQ+osCRtj6U05m3rQaaeyR1aP2yeC9SFUoTZrpqSiqUlnsvSgPvMf7Q1kx3G5s5eIRPSk6DeujvkNNmsdtKjAEy8blRBoxsryUlYx5czkxXe/TKPAqFaGoGAXVLn7Nfcy/qbpFQREq+tHvUxYQl1kxD3gP5qso4ihoh8uG9cHNz3wOKY4dtDhHR0crlhceVu5rm1n1tSx4cHq/9HmEgRVe2CARPRMNDv6sFhp/Hv0gqQUkOgkBBzkOHAw1brfbtnHjxsqmQLWIYJiqDyIsD+bj37M/Aes3OztbeYkgnkbCk4/9RJ6nohd5oWPfGAqvaJJGVCeWCfPytlU+EbyP+zeiUThP/K4fv4NCRKuqexTUeOWot6iu+Dsv6EwdRtQrl58VB7+OlEqejzi2+J1t/n9+fl6+PypFDbLPR/lIkRpXiHy0rABi3dS6E7UBR/pFeWMfKHpTjQlufzXH+Jrz5O0UOH99ncDnZ2ZmrNVqWbvdNrPN7hKkvdmNYFY91X5bMLDCi52OanHDiZs6fkZ1nNkWDQT3KPFAcrCG65/xtIxGo1EpN562sWnTJvn2ZByguO/H88d8cXFKCS/M3wdio9EoDwbmhYQXMWwrz5MXM7yHLUT8TVmO24JoAeZ8cJHxMiuhy+Xke1TfRxaMP58STCpPLlPkd2CtOLJsHdxOXBeVJ84Lt7Tws8qHF3SlTPg1Ct7IX4TjN/LxeFpqnqb6FxUfBLePsnqwvvgc3u/fcd8o5TOab5yv78fC/FTd2H+FUH4+npfYbihwkL1qNpvWarXKQDNkmfA0FrN4X+XWIvu8MjIyMjIGDgNrec3MzFTCbiOgphZpEymqBykeNtnxGu9BStOsGlWFNBuWBTcto5+s0WiU2kyr1eoqN2p4WFfk/JGOTFlebuZjO7mGzRo15x/5pSKLjdsA71VhtYp2VNSL0nhRm8fyK9pSaemoifoY8N85/4g6Tfl7VPm5HkgZ8ysqOOJMnR3J9BPTTcqSZCuV3++E40XNQcxfjSFsq8jCQ4sAafeIVlb+J0VZKfSywLmd2D+qrNtofPDY69fPxq4DRecrNkHNC/ys+h/TYEran/Xvnblx9qbRaJQUolnVj8bRmduKgRVeGDyBXLhZleZjKH+A4pXx/l4ThmmpiF4cGRkp93Lh9y4gPKR+06ZN5SBot9vl93xyBy/QSnjh6QXuZ8DQbjz4FWlDv2dqaqqyAPCiHPmSuM0jIaYWimghwrr775GQxPaNhK86hsrBwg4nL/p1+FohEtIKTIWpcYR9ryhzdWwT9gErVmrM+388SR6PM2NaKEXJqWum0JTw8vrg3OKtDf6f+xf7WClYKCC8f6P7IgWN8+slvLBu/kyKHuQ8vYxIE6sgLXWdoo1V3SJlNKpnvV63RqNRrm9IaeI4ig5+3hZk2jAjIyMjY+AwsJYXm9yojaugCH4OQ0PRAe7p+f9Ia+7XOR9FPrH5jg7w2dnZ0tqampqSdJ5TCEpzY3qzH+cvW2H8NmWOAPO0kZZirdLTZc0+QkTbpGgcB9MfbJWpiMLIonMouoktr0gz70WP9NK4U0gFPvAZhCqEnaO8Ii0bzy+cnp7usrzwoF5MC9uRacto/vSi7Lw8HM7teXA+yvKKqDkvSxTwo9oGrz1/nBcqKrFXAEtE7aHFzJSxojGZLuY2jcYjWr/9UOg4xoeGqq/wwW09+Ex09uy2YGCFl5nerc4dylQWDmo8PVtRMh5No7jpKE/2IbCAUFGPXEb17iT83dNNHbuk0vfFTQkiBAsbPoQV78M8olM5+qVe1HWqbrjo+XNRu+JEjIQWCyWcfNECj9dYHh43/rv/FlFe3G7K36qEtiMSXtwGPD6VwMFxyMLL/V54v5cnRb+p/UKYBvu/1FjkdlJRfpHPK4oWxDyieZWizKO+5r5if7FaJyIKL6UEpgRMdC+2Nb6DLNU2TOOyq0K9rDeKysy0YUZGRkbGdoeBtbzYNI82HEcRQaxlo+MR6ZUoSizSMLkMbk5zOVH7dgtIRcSh9jszM9PlgMey+nWqzmxFqfMQWcNDRzm+LTWiiFJ7pxQV62BrRGmNSnvFZ1OHMiuktFz8LtKK+9EemT5kaltp8JwuWu1MiSJwHPFBww60uJVDH59362p6erq89nc34QkbDrYmmJqPDuDFsctjB++LNhZHwRcReEyk5rMjCjAqivh8SWVJ+j0qcAafi/JX458ton4i+di9gVQ/1imiHbGv3I2BUdJ+HZ1m1A9FnsJAC6/I75DqeB/8w8NbXmfN/Dfv6I/MaU4/gionCkZfTFyoYB2iBWR2drZrk2Lka0CBx4uOEl4+EL2cEbfOiygK3KhdeNFSdCGfWs7+gEhRQWBbsE/U4eVXfcdjCvOPFhmc8Lg48cSNKFK+xjR4UVdUoxL6imLEPmCFx8eI2WZFBelrpoXZ58N5KuHg30XCi9shUiLUb5iPugehFJJIeClfkucV5cHKFH6H5cQ01LxQ9GQURZ3yG0bUeLRupdZURTsODQ2VEYdmVgmbb7VaJeWM5VzoCRuZNszIyMjIGDgMrOWFQM0PtQSltSiNCCMPUbP39JR1U6v13gyqgFYDRvexBoSOVI88bLfb5UZmf1UKbkBWz6s9M8qZi1p+vV4vtSY+CoijpBxsDTBdpSyA6HmnNqM9SkhvRIjaU9F+UWSWoniUpYdRZur51L4WpmdSdE9kUUQ0FR+nhIFIuPcP66Be7W7WvceQD29WYwo1a89fRcpFgRCpuvai+fqliXt9j4j6xq0UZTnxHkNmEBSdFtH+TJtGFqtydSDjo6woplHV56junsfQ0FDF2vI3w09OTpYbltFy3G6jDYuiKCcZUwmKzmCqg014XJzRtxAturzY8mvQ/Tk8Yb4oCrk7Hs8r9PSQzsHT590s90XAB0t0ejYuYL5QqohJfJ43Nns5PA0UrCmqwsECDxd7BPYb+uYwipD9Biq60J/BiaWoDiVw1WRWtKPyJUVRjSmFJkVJRu3D4xLTioB1QLrZfR0+5judTjneUHhh+rwAInDhZB9v5ItiiqqfOmBaqUWQ0+7X5xLR0UoZQ+XGTPuZsQ5YfhWRpxQsBCrqEbicmC/+pgRr9Dn1vdPAfmJPq9WysbExMzMbGxsrhRcqRwtFpg0zMjIyMgYOA2t5oXViVtXm0YLhyJhoTwhGWLFWqhzt+MzMzEyFXkFNe2ZmprSsRkdHS8tpdHS0EhSBGiK+kmRubq7UhDdu3FjR8GZnZ0vTvNFoJN/75ddedq4PAi1Rj75kS9VscwAJ1jty2veyKLBN/T/TeYra4zSj/Ub4PFNsqBnzBmysC9OGnI4jZbVHjAC3mQJTc4rKxu85TbSC+NU+GCzkG5DNui0vpKiZ8vJrtMZVnpEVhG3J1quir7hPIqqR6UX1GiXOl/PBe9ScUWNcrS0It9IjiyhiFNh1odZAfobrg23DkaL+fTQWmcVgdgH7G89N9euRkRG5b3VbMLDCCxd4jmDBhld+KYdaTDACzwVZFJqtXsaH/iGHd5zyG3i66B/gtN3nxfXCjaPj4+OVA3ydTlSbBbHemKYK4/cFS1FgtVqtLJun5+kgr93PSSDqPEj8jZ/jdmPqhu+LFsootJyjFVNCRrUNR1xGi2CKbsWFL7qPt3Mof4bZ5r5RtLILLgyDx60UTAP6fwx/VuU206fLsM/HLI5mw/5gpKIKeYFHClwpHcrXqeaFt5c/w32I7aG2bChEggDBQkX5ySI6XFHW6p13eF/k1/bfUFnC10YpBdLLr4Q0zpFtwUALL6XlqkXMzLoGBmssuNiiLy0VoIDXmD6HDmOeXjYM0vBBGU0CXFy9w6empqzdbpdccrvdtsWLF5f1Ub4s1phZ0OPi5GCfSOSA9t88/+jU8pTfw8vlAlcpDZHPrl/nrxI8SnFh4cUKgKpDtAC5r9GRWhzY14LCNBJ4vLgq/yTeg9+74oUCS2nGHF7PwU/+DGrzSiAp4cXjDdsqWuA45BuB44WDU5Q1nlIQlM/Yn2HlF8e8CgDDdvdFHNswYkRYCERWd8ry4rUG28p/xz5inzECg3uwLKi04jYLPtUHFf2FIPu8MjIyMjIGDgNrefkmXbPuyMFeproDNXvUJlArnZubq7xfSlFRrJ1xtBFqeOyD61U2pkedJhwdHa2EzrfbbRmdh+3BO+eZXlHXnpdHDkXlRgqBI6z4PrZCHKjpIY2KaUUUpD+n0u01JlD7VeHGrO1if2O5MS20pBVl3Q/fH1lyaN2wDyKqA55ugWOcaUPeHI51jCLi2IJQfhS3pLGP8Rw8LCfTV9FGX9UHTDlHEYrKD6raGq04tmywzswUODAyk32V/izXh/NHOh6f7Xet62Xlq/yxfpG7BdNwyxOZIV+r8HCF6enpylaMhWBghZdZNXQXgxVwYKDJjs+Y6cWuVqtVaLrUAZM4KTDcvVarVU7vUGABpxYhLwOequHl9Dpv2rTJzDYPlugAUvZfYftFCxK2B76HLFqEcQHEUFivJ1MS2Facv/JdKaGAigGmy1CLBuaPi4HyafAhzuwf4PSia1wkvY6RkE8hWlhcaVAviWSaDv2fkcBLLW78FgQ8lQPbysEKCZYH/Wc8xplOU1RhNIa9rNF4YwoQ72P/sEqflRM8vQfXBkUnupBG2o/T9Wv2/faqu5pXSunGtJXrQ60hqk28/LhWtdvtivBy3ziOj5Ty3g8ybZiRkZGRMXAYWMsLNbnR0dGK5YX34HmBfOKAsooU5aE0HXYyR0CnJFIiygmqAgf4DbYcuuy0YafTkVqza8lmm6MQUctljSzC8PBw2b5sQWA5+eBWr5fXyRFFIWHZ2XGvIkuRqlRlQ+Az0QkqmCdbxhzIoRzd+L1yrCstFy1GthwjSyHVNjiOOFpPWV74HNchoj69PdQZmUwbRhZMZC2pcaiskpTWjuMS+xEtXk4XMTc3V7F2eLz4/4g6ZStOtbtfY3oRFcx0JP6P6sCWlqJO1X1YZnUftyczAPgKnehM1n4ibfvBwAovpLLw9dMYOsx+AqQd/Duz6sAxq0YfYQfxCyyjxQQ/I1WCkX8R/eD/cQFyk3vTpk2VdygNDw+Xgo1fxY58vA+oiYkJa7ValT0XUbgylo/36+Az6mQG5LWdksK0MYIuypMpTdU2vGBENIzXAf97/vgM+7IQOAaQNoyA5VQLRopORij6KVKCUhQkLui4ILMwZsoWBRYrVyosmg9b5ag7FQnMcw8Vn1QEnUMJElzwcYFFGjV6PsqLIwe5vRWVi8LLbEv7sHDg47b4ZZtR3RQdzooxrlWssKo1w8us5h9eR+uNl7mXkOo3QjhCpg0zMjIyMgYOA2154ckVbk1gJBZrL6gxK2vJrJv2QMsHrQ62RvgsQEwX78MIK6YBFIWG9eh0OiVN6N952aJACrWHxyMHm81mqRVxedAaYY0ZtWssh5el0+lUrFeMmETrl62uaJMxX2Nd2Umecnz7fw7iUWXgPsD8IwuHo9kwCMHLqOoVWWFMKyGUls9WBbZHFPTi5VR0WGTNO3DPogp6MbMKtY8nv5hpLV29v05R/TgmlbWognq4bdiyiFgAtU7gWPF1JdWP/p+ZG0U/I22JVpiy+NUcUVZlNI6U9ePl5KAefl61K+bLa4jZliCcBwMDK7zwZWd4kCzywDzxkC7hkG28LwpnZ/+Ip1Wv1ysvXkMhFwnZ0dHRssweIYnl9gncbrflQHZBoUxyHGz8/i4257ENcbDhYB8eHq4cDYSRlUgbos+L+0Dx5LxgIHDCIb0YLRBqcvXi1Lls20JjYB7KX2q2hY5UioLyGzhwjLKvAYV2yv+GUY2q7XxMK6ESUXG+6Pr4bTQaXf4wfwaFDZ/K0Y/wYurf80SFUSHqi8gniUDFgyk3LIuiVBWUYuD5q/HKflD2NykllwUx+1t70dxKMVBjj+liTqPXulev13vO5X6RacOMjIyMjIHDwFpeTMFFzn0+1sg/Y2BHFLXjGlUUDYZaoJ8l6O/CQg1EvV3UaRS/B60L1CiRKvR3eDkwGIODFXDfDWuhqKl72dB6xb1yfoRU5JD3/MfHxyt7Odjq6WWhKNol0ljRmlBUmKqnsm5S2nJE2aUc9ZEl6dYIU3WqHPx8VEYVsZnSZJnO4/bkt4ebdR/fg+3JtJCqj9o/htZWdK2iLs2qcx6vOSiDy6roq8iy8GeUe4AjFfncVI76TMHvUWOMg5W4HdBCitijVOBRRAUzpYr5RWwWWuP4TL1er7BMvs50Op0HzfIaWOEVccxR4/rnXrw0XrO5zYMcz3Pza6fffGLxe21QeKHwQ/oHT6IviqKk46ampionIaCQmJubK4UcCi+cID4R0aeB5cFToLEt+P1NmJ4/02w2y3rySwwjKgnbOiW8eIKqyEOFXv4i5fNSFBM/j2e4sdB0qHGHz0TKEvt3MG0VZcnCK1r4zGLfDSoEHAEaLYJIJfNbDJAC5O0TOF7Rl6P6BIWOWZUqZEUOn+E64HxG+lvR0uqZKFIP6TxWHtFfFPmJMJ9oPVNzJVqfIkUw8u1F4yileLKQRj8u+wHVqfL1er3nYdP9YmCFFyLlR+EJq3xWrDX6AGeNmTVJtEbQuhobG7OJiQkzM1u0aFH52hIUXjjhXZBh0IinV6vVKlYUDv7JyUl5JNPU1FTFv+L1aTablUk/MzNTEV6eZ6vVklo615tDj3Fh8bQ8SAStFbfWmJtnqAmY8hHxs5FyEwkvzIfzjxzdvFCpbQC+Qe7hvgAAIABJREFUyPQqj2pztCAckY+Fg1aiPFVgjFr48MgjFsZ4qg2yCCikzarWG/qzOBhE+aJ84UffMgZGYT2wDbl+OM9xvPE4wDaImJyozJgep62UAfdBKiuEAzlwrKUQKXtcF+XT5zHAbat8mpinlxMVDlRu0GJeyOkylXot6OmMjIyMjIyHAANteSnOPOKOmbdmLQ45/4hmYq1DWV5OE7rlNT4+XglNd20V/QyuxaLJjZYX+gtQixseHi5fiYLh6ezzcl9Uu922TZs2VSwvpxobjUZpheFLJj1a0TVmpDuLoqhEhqFmyFFHrnmhxs2aJGuoyjJi/5d6Vn1W6TLtGNFtamOtAlMvqMmmNqgjDRNZe5y20sJ9fPSiuVRbqfmDnxUVF9FXKl1/RQaetKB8ZiqCUPn3VD2wLBGFhmMvZXnhM+g3V/VX5VJzNuXGwDbkSOhoGwyXmduLv+cyoAWP97nFjeOll1/X08Axjq4UXOsW6utyDKzw4omhFhimQHwRMet+qzEHT/h1NOlxwKJz0oWACwIUWPxuLU/X/U1KmGI9ceH3/HEg4CnNasL6UVMovNC09/ZA35q/8NIFcKPRqCxaGCrvgpSDRJDiSb08Ufl0Uui1kCl6UC0gnL9ZlfrBfTd8X5Q3Uygcch2dJs4LqcoXxwcuQEqIRP44FoToB42ejwQrjlH00eKxQL6VQh3KivVh4cULPNeD4W2g6GhsK6asogAdJeS4zCpwQs2RKC1VBwUfHyiAFdWn6h/NBfwe6UmkX/tRgtjfimttRBvm93llZGRkZGx3GGjLCzV13LTpUDQObqxstVpm1h0FiOck8kG2qFGpDZNuxSENqRyuyomLabu11mq1yjck46GWvOEYn5+dnZVvj52fn69YZ9PT013UpVn1XTxTU1M2OTlZtlWj0ZAbwjFsH2lGpeGq9kCtNLXpE5/3Mngb8pjol57EtFTABafBafcKPPAxoDRqHLuIKNiCf1MWQ0ThIZAuit6XpT5jnmiZIrXmNPXU1FS4fQItBZw/GA3L40AFWeBv0Wd8RllBKooPn8VnHGhtqVB6FYjBFh1+x5aTgprzyCw5Upu3o/UIy6zaFuuKtCNbZPhZbWvA9TSyMPvFwAovBC8gCB4cKLycClu0aFFFkPFCrSKcOJoG78GIL1zU+dXYDvZ18GG+LlgXLVpU8UWxD86BBwhjWvPz8xXfFC58WB+nCs02L0CtVqssQ6PRqEyyyIcQRSd5vv4fJzGnpSKhOJoM/YQ4GTEytF8aEvsheoaFZLR/i4/XwYnu36l283s4nDjlJ+AFMlq4VXtiH2C+DlxgOGpPCRk8aUXRxxiqrpS/aLFnpPqT01BtoFwA2HdKkerHP6rQz72shKi6czmQ/mVFPRJETH1GtDB+RqWf/aNRmVHIYf/iNb73b1uQacOMjIyMjIHDwFpeKW0zRbcgvecW1vj4uC1atKi8xuhAtKpQm+YIGg4Yca0C33DMVphrPR7E4PfhHrCiKMp8ms1mGcXoe6cUpYFpM03Hb7pFDRyd63jI7vT0dOUkDmV5cTtzoIEqZ9SHbg1EWjLWLXJIp4IL+kVkeXF90LqIIgc5PRwT+AzXMwpW4PzMdFSkok5R41Z5q+eZJsPy4DiM9nLxBvlUwAOXKYqe7BfKOmDWAVkZtEZx/vQKXoloagf3IY+byIqJxhFbWIr58Gs1fpgeVbSm549nwrr1jOdlpsZ6ykJbCAZaeCH9pHb44wD1e/CwSIwI9I3EExMTXaHtTAnytYokU6cp8IkD3sEsiCKf1ejoaFlOXzRxEfQyTE5OypB+FXKr2pDTxXLz4aoKeKQO38v0FZaNF2o1MbEeSvhxf/vz6hksk/quF/0WffZ8MJoqSi910CkvaFjXVJmjzbuq3zwPRY2ZWYXOw3SZcsKxq05Q8P7AcREdEoD15Dkc+Q2RwozGJ0fx4vzlrQwokKLw/Sj6MfKD8vhUVLfKJ1JgIuWP/bMckYpzngUvp8vfYb8x2BfcS0FbqM8r04YZGRkZGQOHgbW8MIIlOlvNrBqNg/sNms2mjDbEtzL7a1eid3WpaCuz7k3CKgqPzyVE7Wh2djasm5eNAwdQkxwZGSkDLlTZEJHWz1YCn93IbcAUF1JCqQNEVZ5RNCLng/eyNYKWQlEUUlt07VBpnxxgEYEd5cq68uAa/C0V4YdpK0SWirdzP0EeCA6wUeVhSwsd92ypI6UaUXPRq0Y8bVXflFWp6uTPoOWDbYeWFx9OHEUG47NsOWIQD/avYlH8c2TxKspcsQfq6CsuC489ZfGqACXMT1m/KhgE5ynv8TOrRkwvlD78kxFeaNqrCJxarVaJMMSoQvdtmXW/nhsRmcVKILiQ6nQ6XS/X83t4wVBUUlFsOeAShUKr1eoaLFh/rzcfkstUhfInYHouiP0+3hAeLSDYniyAsZ04HSyLOgONBRqXvxddg/DvFM0VpaUW1ug35YNQv/UDprJUfXzRjM7yU/4e9i9yKLYDx4C3DSpb6qQVLmfk+4joMN7+wm2tyskCMYriw2u1iVwpaN4+Zt0h31Gkq7cP5sP5cz4YwZoSojhHlN8d2wE/R+3OYzIaoym/o4qyxs3quAZu18ILDwZVCx12br1et1arVfqMMDADw78xDTxA1qyqffJLHrmj8eSJ1H1+jdZaxJmzRdNoNMr6sMDzZyYnJ8vgC/dHKI03mthKW+1HALHPT1lTSttTeaKWHy1arHRwHbD8XF7lz+Jn1AKGefEzKt1eAqIXIg2eoXwnuDizUMOyctnQj8LaPI5x3AKSWpx6BTNwIAWmo5Qr/t7nPG5pUdYW58njGue8aje2vFjZQcVUKTdqbxjOXzUO/TtsF7VXjhU8XA9wbrEV1a9QYcXHr7GMEfukDvXdVmSfV0ZGRkbGwGGgLS+1a5t9L/69n6gRWV7qsFnXLlFL8rQxqkpFjKV+87Kx5h+FTCut1DU/94GNjY11vUML8zLbcnhvLz8X58kHp6KGitqn8nWkgFYUU7xMESkLQPmoIm4fQ30xf7aIUOPG+1Q7OVJRfPi8sjIjHxNbpZiHj3uso1m3xcVnMqb8Fr3oS6YJ8T9r1n4fW3vsW0OtvZ9zAv05r4uiyVTYe+QXxfQ5ii466Fv50rxueC+2lbK8fIxvTcSd56mYGOWDw3I4mO5UrEREcfdTtgjKN7/QaMOBFV4RDRKZ9v6eLRdY4+PjlZM0HGjudjqdCgXBJyJHPi+zOJBB+Yt4EeWFAoWK38MnEvgbnM30yQbeZugwxYVT+Zw8H14M1Btssd1T+z+43gjME8vAIf2KXuFyM92ihJIvoEiH4W/quB7PI5p4aixwmSKByT5MLjeeThEdmtrPwbq9Fpqo7FxOpNc5cMSs+yBqbB+8H/3VKJQi4cTAsef0WbSQK4pY1TlSSFB4RdQl11OtBbVarRL8xAoFuxU8LTz9I/JfYfm5vRZK1fHY5TyjOav8sAsVXpk2zMjIyMgYOAys5RVp2ai51Wq1SnReq9UqT6jAaEN8TQe+F8upENRiosMzI0uDtSCkSphCURYFWoL+2ax6fqEDz23E4A/UStEqQ4oHg0mwHkyp8CkJCKybCkjxdJXlFeWBZeDriG7j8mD+TEdyGThqDH/z8mP9PCBF5e9IBRygBcOWF/YJ5sPWSRQogm0QlS2F1BYHpp8xyEIFEfhzqu8xkjGypP03RW1zCD5vOMYgqigoiqHGDs8RHBPReMU6KWtP0dxcNrb2OEgCy6vKHyFie7ydVXAFBnYwVZrqExUxulArcGCFV2SOI71iZpXT2fH0jLGxsZIudDrNrHqkDb++PmX+RjyyWXViY/k9bfQXeX0iCpH9BGrS48sxWXhhlCRHTEYh4zwR1WTE/uBQ3yi6jv0ReI3/uQ17CS3+Dn9DShPLwflgu3s9PP8o3yhKlH0e2PfsO8W0UECw8MK2Uu/A4nJH9Kjy+/WCamucF/geJyyb8sn5s6koPgcv9CjA+ag2nBccJcnXTAGmxrvyJSufFs45nLNqrPlvUXmiNsA2xHmOUIJQzXOuJ44x9J1ieujX5XHDyii3Fee/Lci0YUZGRkbGwGGgLS+ldbBG5tTgokWLug7dxUAN5Yh1yg4jj5TGq/aVoDamaDZ2bkYaPGpEvE8sShvL1mg0KoEQfIZir4gxbh+m1VCz59e1YF2xf1ArTgV0KFrKHd1eH7au2OLjNsR7vA84asyfVxo1p4HljN4M61q1P4NtzRvXua/RWlHjEPP3savKi5SZonujoKMocAC/R+pyeHi4ZDtwc7qXQVHobDnxu70iqlDNeRXBh/2D4x3bE8uJ1n1kHRTFllNnmEpG6xPT4sAS/MxWvmKVvH/9M68HKToO81G0OVuVXkZ/ltkLztPHkAo64TVsu9+kjAskm+t4crwLq4mJiQptiOHx7BfARmc6DRc6pAN8QfUOVCY8Tj7uaPajROCFXdFcWE5cTJzCwIGEiyge54K+ARYE6sQLXBy5b1BQ4+JUr9dDzj2iuTgyDdsFy4bKTbSB2ywOpcYoT7Wwo9COtkVw+TCKFY8MUxF4XhelVLFyhPQzU0y40PkCjT4mrkOKyonmCS7+eARbvV7vamu8j/2qZjqUW/nTUr4TVrBwXOKpDziHcFypcnv+6nsfr1gfn3PKH4bfRxSv6odez+B97NJQawrPa1Y4vd04yloJdrUuRO6JSInaWmTaMCMjIyNj4DCwlhdTHagd4eG7uK9rbGysYoWgZo1aAmrSqJFEJrdH8fk9rM2z2d8PIutLWRt8jZobR6Yh5ubmyvbodDrSqeoBLCptto6iw1kjRzVq4sqZj+2uNhyzBYLWLO89UmDHNLe5ivL0a6yfW6z4PabnWqk6oBkDhCLqjsvGlhMGPjCdzSyCg60GZZliu2PbqgAHZUUpehP3qkW0H7ZfRDkzvc9Wi6KzozGK7exQr4LBoBm+n+d5rwOIU+yCl5vbll0EWM9obfH5EllO0RzBccDXWEZkkpAp4Nc/+RF1+D5BtWdvazCwwstsSycyHeELMgqvVqtljUajYs5jSDweHMmUmeL9+Tv2VaQGnz/DkU8Rz57islMTWD2Pk8x9YP6bosJ4MYiuU6H2qXKiP4LLH1FmShizAIgi1SI/DucTKQ9eZhw7EV3Kz6gxlhJevHDjGFOCFSlzrg8Kr35oJ36eo+Gi+3qNCRx7qEhGC1nKX4pjlMeRormZhsU2wD7FtkbBim3H9UTwa+/V805LK38rj11c5xD4PI4jvNfLr4Q+Rt6qKNxoWxDn4fVChaDT6ZRvtmi325WX26KvcCEYWOHFQRLoxMdXmqDzGK0tXACmp6fLhuZDRiPnaQTWZtDXgIMt5eNRQoA/+yKsBAEvgikrDjVrdaQOD2CeMCokGDVuFhYswJX/jK1q3l/Xb9gt+koQfK8SHnzNgj2yoiL/GAcLRFsUcHFlX4zXA/1neM3bCFDQs69TKROcDy9OvHhyAJKnrXyFPqaUVRYt8H5fZGkrYc7bW7heaiwqC7yXn035OlH4RNZ8pDgpZkKVn/sE+x7XD5y/fKQbjjH0l0bzNFJOMC3vD09venra2u22mW1+m7yvry7EzKrHnG0Lss8rIyMjI2PgMLCWF1pYzWazPNdvdHS0/H50dLS0vNi3UhRbDuBFUxY1N6av2IqIrAvWZFHTUSHO/nxEGzpYA0qVDZ/hcqiyIdjyijSvoaGhLu1T1S3ShHtRWQ51ioQ/g9o3l0Fp+eyX4rwxvciqjfx+kfXsaan72A+Dz6E1ol5F7884mC6Ool79XpUn0oMcZebgqLeIQmPtHS2slK+Fx6S6lyNl2YeofHAYks/9i88w7YfvplPjyK1qplW9PoreVJQqMknRvOQ1BNsT88HfeRxgOXGMMbui+jdiJ7xO3g9TU1OllTU1NVXxC0c06NZiYIUXCil8KzJThShg0E+Awov32iCijsPPTAeyaY2dpfw4jOj7+flqwEiKaowctBE1oPwtZltoEw4Y8N/wCK3IL4a/Yb58X4ouUpPPrPv0fmxfteArfx62kxK6KX8kA4Ufp5tasP0Zfg4XSxyHSH9z/Rw8LjmAxJ/H9NBvlgpm4QAFlb+6X/U301BM06v5w9Qt+qmxTFgfHsdMBSPUvjMUvtiGPj6xTR0oJNlX6WXy8iq/lJoXWDcVUJNyG0RKMgdC8ZzFuil/q49PXFNVkAaWc6EBG5k2zMjIyMgYOAys5VWv1yuWF15j8AZqqHjoLmvWDrWhT1EiKauJtexezl+8x697WWWK0ozSi5ytqF2x1cKmvaKwZmZmynww1J6tVdQWIy2bgVoyW5LYb/yWahV+HZ0p6eH0EQUY0bCs/faycqO0sExeB2YHkO5mKtLvicYlWxmR5YVjh0/LQIqY2wDHiIo8TLVbipZC64zbGuvP92E+aC1x0Ba3jacVrQfeBxz4wPMNy4CWRhRMwgEv0TaAfqywXusHphfVMwqgQWuJGRjsNwyPV1SuAyPDF4KBFl5eeaQQ8UgaXJy9oSPTXHHkzMlGwoIHCw5Ys9g8jjjf1ELHE15RABFNwItoatHjKDdMMwodxkkRCR7/ncuG8PaM/Fz+PJ+Qb2aSIsJrFp64oHD/KkrWy6f6jn0aLAhVXVMLt5nJqESsT+SbU2WLlAsey1F5UJBhG0R7mRB8HFLqGRyvPH7UuFInX0TCCxVbbBuOBlXKJ4LrH/npeM8j09QqwpHbgp/phSgd/6/oZxZkvA82ou1xLmKkNp/S40C/Y6YNMzIyMjK2Owys5cWatdLozLoPkVRUh1nVwYtUTbRng60bdvSzhs/PqedV5F2k5XO+bFUqKiv6zN8xDcRt6toVtztqauhYj6gkpuwwfy6TsvDQae/924tuZevq/9k7t+02klxpQweKOljdPT2HPWu//+PtmW7bEiVKbem/8IryV6FAkbbmv6jpxI0osipPlZkAApGozjP1Z+BtScF+P/PlzzPBk92z8TlBSJFzMnlHPHgu0VyWuIcma5jj4fdIVH/ygnxdcX6QTOUJeNMYOFzodbLNXich4/SKFvcsOH9fX19n84roDWHHJQjP1w/7pe+XUJ60T3h7OHYJHeDfNK+7z34mz8+38TM9rf1+P8GGhAo5Bnxuf1rYsNvUHb7rcF0/+JrK1SJIbrJ+9/u1+Lmh6DqH6TixCDV6DIL1+QbIDTLFJ5w1tBRnSrEFX2S+6aXF55+dfcWyPS6jv97OxHxyZdPBT14/oTifI4dgGUGNTPBKnF8MqyUF5f1J8FOCD7sx7sru5pSLZ+c/NsbbPfukyKQ4EnPP5zg3ZK5H3wSTktT13LzZTh7E72JWlG7tJOPTFYDXSYWXlBfHgQYIjTlvYzqG4hC/7wH+glC2l3UmWI99EI+g6us62O/3szR5aodnfeEzeI8M2HDIkCFDhqxOVut5Vb211KveutUOEem3jsWUiAsJDusCtId+k7hV62mCyPxJ5cqDcFhUnw8dBtV1HWHCPx+CHboccAlGYtuY58yJE3y+3m7vc4I36bXoM4PxYtql4DytfDL9FJhWuhsexvQgdbLSNQZsp+ATWtny3EjMkJXrKcfcM0mECx9DevZLZA5Cov4KoeQ1OAmBB3zpbXWEDxf3ThI0nsIBnLcdTO5wcYKWHdruYH+/X8I1kTyZLn9gYjUmLymJw6b0vDp0IjGhUxvoeRGBeHp6mrG56WGxzaenp7M58R5ZtfKSdBMvTdyE3XZlJVgkle1ZDgjv+WafoBhXRFXzB5sgRCm7jnpL4YZ4cpIPilKWYjzOnkrQDcUXjW8G6hPfn8X8eCzD25Y27nQfx52ssqRcurgQ6fUPDw+12+2qqmq327U4fxcH6gwnJkpWO1N2BkKI3KhkaKlsXueHYx2KIrSdDJ7T09OZYnblwwO7vMdjoh10mRSU+tYdL+F4pvvV1pQFxmHdbqz9uq79LpwHhA075dGNB+e7Gw3+nDhOKau9fksK2O/pstp0MV5naPqzTzk63wsbrlZ5eceXFFaSzrpKAdHO2vIzOWqXY+OpbFcIXUJRWtKON3NheayB96dxSmO1pMzTYqYsKbHO+mRZXvcSmSP1U98nS7ZrvzajbkPk/XrWj4+Ptdvt6u7urqrmyss9Zs9Ukbw6t3BJhz89PY2Z6LmJcmNwg8k9OUoXI6L4POYGxP798ccfMbXRkgL3tcB7qIzprbkR2cWYaDxyPOjpJwV1SHml9en1qw/87F4h25/2LfcqJRrbzgPjWPN5cA/hizb5rJbigT4G3dvXOS99D0qe+Yh5DRkyZMiQP52s1vPqYBjHu12SNe//u+WaLAXGCQifudXXeXVd7GhJkld5CCogTOhldB4ixU/je38S9JbGMsGgLN890QSXSJIl67EO1t15cUtCb+uPP/6YJRl9eHio+/v7qvr6riLG7VJ2F82hFK9JB2x1TefdLyXjZR8Pwcgqi96B15e8AXkpicbvEBHrXHo+aX6p3gShdSiG6uFYMVbomUV0/6HffDzoZWiNLbECvc8qN8Uku+wy7lkvedMuzuCsessC9HVFmNpjW/rszN0l1MfrPxaC7WTVyislbu1gIE1wn3D8veptfKULKi4tON9Uu6A5r1d9ki6Q6/cl+MjPrLCPnQJ1cQXcwW5JCfsm43BC2sA8VsHfupjX0nPvNh1dm8pjXYTpRAOu+vZuIpI0dE9SWPq8pKT4nfe1g1jSxu8ZDVgnx903Wh9jHwuv3+dWNz/UBv317Desh0qTa9ThVtXpscsulkTF6umMvK/dHD8kvhn7/GIdEo9ZE07rylIZKb0T97MEx6d5uWT085nw3VwPDw+z93QR1n59fW33yzSO71VeAzYcMmTIkCGrk9V6Xm5BJAs1eQAdlJi8CVnCyTqlZe9JQlU3/y59Pj8/n7Htuvu97ey3J6Jlmz0Q3VmTXV1LhAeHMvx+3XuIMpzqXIJ9uzoTDNn1OXkQDEbLu3p4eJhR450ST6u2e5XGMZLamYLwncerZ82xT+PekQtcnBDjJIBj5qgzzroDqvSoXLim6GV6Xktdy3ngLEL2m94n73HvMZFenIziHmKHfLD99AT5rNK+pfq934kg4d6eowDOAPU6lblG83+3203s2ru7u4msxHWhvjhF39vGNfJeWa3y8o07xUGcHdQtep8g/Ewox9lOSzh9goj4cD31DunGXhchgIS5u3h/GEtyuGQJNuD9LCMpLIfe/Br99SSmnhW+E/ang35Vjvf1UJyLGwozBqSzXOnFg4lhyM9LwufoG6jDrZ5M1u/3vnq8SOKKqNvceJ9gv6pvCW7TSxp9Uydz8OLiImabcOXDGKIbdIn1xrkjBd69XLajkHfGqEPzCX7WOKfYnMN5TjPndYR1034kpdKxTrnvebkJNvTs8brn+fl5YtVWVd3f308K6/7+for37na7mfJS+frLZ92N+3tkwIZDhgwZMmR1smrPi1bHoYOMbqG6xbvkkXnw0+/hNao/WbzeLv+NHppb0GyXrnF3PLGv0uHLBLc6cYH10JJl29yCYpvdK01kAV5HbyaNDSVZpfo+vULEPS+HZ3gAmUwqfuZ5FocK/VxSajPb7YHyTnyOs69d37r7T05O3sB++uweY2rb+fn59Nqh7XZb2+12xqzs4CL3SplNhOORWJWaex20ldAAQWvd4dk0NiojjSnRks5j8LI4do5C+LpIHjzbwHWtftHzSrCwh0F8nXTeke7Z7/ezs4wOFYqwwVyG6ZxXQiS22+2ADblpOOzRYfCksXdxEG5M3NgOSYqLeXu4+E5PT9/AJUk8zuYLy39XPZKlTbzbRBPs2EFwCXb0fi31IUG3Xp63r9uwCcukd31VzTeDpLzS+4g8punj1lH32ccuewrnLhe/lHnaDHzT83FzlqPqTAejtYFREaVYxRJsuNlsYuzV6/F1qj5QMR+73o6VzkBMRm5iGPqzTgavPncGyxKEf8ig4T1SXIRVU384J1zh+XsGabxq7JPyElRIhiGZtmon25DeqebhkffIgA2HDBkyZMjqZLWeV1W2+hNRQp87Yobn0pMcCvRLlogGXZsTqeFQ+c4crMpMNocfaB0RHnBrban+NBa07B0GSm3X3wSPOORwzNj7NQ7LpEOnCeIhw5B5CslcpHTWeNe2jr2mz552qeptYJt5ChO7Tm3hX5bhTD+H+fTbxcVFC3k71Mh3cyUoit+ncSNMnsbQyQbHQPDsm7e7Iw54eMA99Q6dSDA971sSn+NLY+NwcdovHHaUvLy8TASMqjkE7u1Ue56enmq3203e1v39/QQVEpEgouBjeHr6LRem5knVVy/9e/bLJVm18pJwEJ0t5TGd5MJ7WdwMjtlIlzZ+/z3F1hImTXgixZLUzkQtdlaawxtp01jaZLgB8H7PO9cpCI51N3G7xev9XiojMcH0ffesCatyYRJ27GJxXm+3oflcc0WW6OMpkW2CClO8lUpGG4cfECbMRyVD2I91+vPgM/IYWhcjcqiNZR2ahyzDy/J2cV5uNpsYV0oK4pjYGNvhxzI4/7tx61idzlbkbx3M1j0DKg7tEVJe9/f3sziV96nqG9tQCov5Oz0ZeCfcW9xRONZoPySrVV4KzFa9HdC0SPV/Uh6dJb2klLozEhIuxq4c3+gSft2RNDQJGMxNXmfC2amI2N6kPBSPYHuS8vK6SZ112nqKD/rRgW6jW9q0uufI5+4Wtr9YMhFTUj1sT1JS7I/HA7wPuo5JUz1GtPSsvX3J26LySvMkxal87qVnqDI65eVjldYf25TGlr9xfGlc0Nv0DDPdfOHnLjae2uQiL5/7icc1vRwRY6jkUqzR55sTNLpYI9vGIyBUSnwLAkWUfKIQ3KtSO1VXQhiWYsHvkRHzGjJkyJAhq5NVe16Ee2ht0prxNP8pftRZ+VVvva/k9ifrMnkAnaXRWfhst66TdZXYf+pPBys5c9Dd//TOnTQOtHJTnMrHnQwjjrucKWR6AAAgAElEQVSPbff9kue1FPvoPAiODZPueuYMyRL8xfL4wsbkRRI6Sc8vxZXY7uR1+FyjF+Qswi4+2sVnutiLe15st0PJaexSu5N35eOjvle9zW1ID8TjXp3HyPZ7bKwLFRCC9Psl7kWRju5JCjjn035COTubvziUsLDHF9le97wEIXaHpAWJ6rcuFOPfd3H8pb3yPbJa5SXXturrpqNB+fLly2whefxK4jCIx5L8syRBa+kB/siDSUSKDnZUPdzE0kLg907PPTs7myY1++ZKqXP1+bmj/af4FTfB1LcUzE73c9NK1yWogvfTKKh6q7zS83XIk2QfQpAOHfm4pdiYQzKezFfi8RU+9y5+tZTxozPQuut8XD0pdEoQnaB1lpv6KSWdSAXdW8RVXme4pBhx6ncyOFkPlZLmCp9JGg+OwSEDratTxojKTsrL47hMLN3R5pPyTOEFGtBpjqfYtpf9n4p5DdhwyJAhQ4asTlbreRE2eH5+nlnRtIhkCcgKTF5VYuTp85KkILNbmEtEDlqubmEmSIXlCX6jhUhvYMnCS5BVlxjY23/s+Hi9ybP1MghRdeSa1J5DfWPZzujzskgCIhTdEQBYJy1Rt8Qp9JY4j4kUpPam+eHMMg/cJ+/TPVsvj3XzudEi9/nbsd6WvOYkhOwcbq06DAF6PY7QJKjRvdwlryghIt7GbmzYfl3jnrw+cy2oHs/eQliYZXmf/dUlKTeiP3eHTolsSVLYgB5vmv/8fskLPkb+K5QXz8BQHKfvBnFJOuzbxWNMaVOm+yz8mvdKlmAcbgzc7NhObqi+afE33ueK0FluKeN2F3/yGAbr8bLSM+DCZZ/1nf/OtqTkqiyTkI4MnbS5uAGQYCj9nxIq04hxOKZTXoTCuDHpHj57UsHJCmM9Ph7+LJKwr4QZ2W/FtZKx48+e1/h5ygQpumHQbYIOR/sYc3wZ7+EZJ44h/2c5S2EE1tn1u4tfHZKOtUe4kobC6+vrbB5075/r0rCl2Fw3T74X7qOS9FRz75EBGw4ZMmTIkNXJf43nlaDCk5OTNy5ysoS6QL+su0MWCD0IBUvd6tbnZJHJous8sdQ2sSo7UkDyNDQGHYMsQWZODHHPK7UtsYuSR3PI40wBY0J7hDbk0XWeV0e06ZLKsl732jsPnlalw0qUJcjOX6nSESF4fovZE0jA8fakOel95e/08BJsyHsPwcIkWuj/BGkmTz6Jw7Lu8bI+JulNUJX6yfLY7o4Z6h5R6g/v+56QhMRJN5vNZjYPJE9PT1OZz8/PswPGDhs6dOn1OLLhcHzqg+8JS/lNCWm+R1arvPb7fV1dXVXV28NxHFy6qw4LpMm2xIrS76kebppOQU8HQFlvUqppYrhw8nUbrLMFSVv3hLPp5Ly+T4v52LZ0EO1Sn/13LjJJeuZUkjRi+JljQ0VAZeGMPrbJYaEuJtMpeR939tE3k8QWJKTomTOqapYNgW1PbFaH2fiskhHCepjQuIv/+jxIjNhD7MZOoSWDRM8jzdeuHI1HB2Mm5eUx2U7RJsOW39MgoCQm58XFxeydaIx3Mu0T38WlF0ZyTnRrsVO+vod065+/ucErUVy2qmYQ7o/IgA2HDBkyZMjqZLWel6cv+R64QX87zydZ3H6/QwsMEBN2W/Lk3GJnfsYU/E3QIoPrHfTj1h1/k/XjEKKTOg6RNJbErdxDMOwStELigtrGOlIfWCfHUx4iA/dMIppgR93TebZpHukzx7BLbSZRucnzYjvJhPR+d3Br8v6Z747tSda4E3861lg3d71swpCJoUjpCEJ+Ddcwn2+CaFV/V+8SmST1rfvNyUreB+4Z6aC53qFGdIDzSPDx3d3dzPPy925JuC4cDlwi3vi4sD8SJ2awHpVFQtKPyGqV136/jxnA04ZT9ZbeS5aZbzicWD6p0+bESSQ2D5VLmiCu8Dx/GOtI9FNXsB4D4MTrEqWyHBoAKQbYse3SBO9ie5IltqCPU1eGyvGMI7yng3i9D2rPZrOZwVoJSvPxYBs41okiTbhW4nPX4zhUWMyWkZQK61DZ7GNSJP7XIeJ0v9pH5aXfyPx1w8kNORoE3bh5Ow7NC1+zJycnMxYdX4ZJaK6bYw71p7odcu+UXJrXyZj2mKYMFUKGVfN43sPDQ33+/LmqviqvT58+VdXXRLxUXhxrVz409vz3JIQ9dV96Vp4RRuVL2f6o/FcoL2YAp6RNpntdwyH6sP7yYXlWaZVD64KTgptJOn9CpZniDpRkuR3rEXWxMX6XFOZ7JLWTCqIqx4t03ZIyTP1YUqDJEq6avy2YsUE+Gy1+WsbJUOD8SpY56+0ML5+vKc7lCMDr6+t0j3tEVFBe59LYazw7pMLXEetxjy2tM5IluLl5/KoznJbiqX4G7Zg1sqRg+D3r93YeWjMqN80Xf9Z8M8DJycmMgKLXlnz8+LF+//33qqr6/fffZ4qMaaB8L3FFW/XtOEpaJx3y4vuUG0s0kv9TnteIeQ0ZMmTIkNXJaj0v0oL5+nb3wNwV715GlyxPTxTrEEIH01E61g0PT4rCy/L02Sm8S7IE0aktnSWbYmN+jdfhcZwuLub3JYu5gzB0/dL4StyyPtRmh3EI0znc6vg9rUaHmdUWet/dHKNV+/z8PLO+d7vdzALnYVp6J2rz5eVlnZycTJa6xy27l276s3G4Xe3h2HTPxD3RLi7i81D3eLzYpYt5qWyHyB3OXpqvh2Ks3mePr7K8Q0iB2poSGrvn5VCh4LbPnz/Xx48fq6rqt99+q99++236LNjw8fGxXl6+ZR3q4ukuvg+mGK17WpyX8t70Gz03zsP3yGqVl6eHOgb24GRxqKJ7ULqWZelzins4nMfv+JlQp6jTCTbkRsmJtxQXcCH2zGtTjMXrOSQsm+PmcZNjFrNEi6oLlPOzbxh8viwvtVMbegom836PlbrC6+YblZe3nZs1+8mEqjzD1b2Pi8pis9nU6enpBH2yzpeXl9l7y0hXfnl5mRFASM3W3ONnjUdnLKU4jgv76uPiY3jMnPFk3J5KSfV00CmVlxsh3Pg7IpbHptM8SEZCOqbhdRJye3x8rLu7u6r6Cg/+61//qqqqf/3rX/Xvf/97+l6EDR2XSCSdLomyxqTLAuMGo9rvxmNac/w9hXq+RwZsOGTIkCFDVier9bycJtodvJU41MHfeT8hyMTsS5akM4U6aMsD95TOQiQk4paf9zGJe30cN4pDUSnPmz6z7s5b9Po7OnkSZzs5Y0vinhfvdavfiQkcj+7VGmyPM7Q6KCr10S1vtq2jyus5KSeds2NV13a7nVnPFxcX0dKn58Vn/fT0NPPut9vtjN0mL040bbblGG/a25zg0i4bikNRCQKXsCz+xntIkqI3sQQfe35JXpMYrvrL/SDBoFpjvC551pwf+/2+7u/vJ2LGv/71r8nzIlS42+2meaM+pLnnY0vIj/CejxX7QKTCUQkiV1w/jgT9qKxaeXFDSxkueI3/5SbuKWQcXksKwk/Ec3Is4eecyPxMhdLFBrysQ4rL75f77hTo1McUf2M/dS8VmcYkbcgek3BxBdFBGCrfv1dbEpTr4tDRMYtI7RFMR7gkvR+Jov6ktnWQiowW/bbf76Ph9fr6WpeXl7MxSPENPh+Kw2yXl5d1fX09fe6U1zFZ2D3e5UaIn43kWFXlly+yjm4edwxHZqFghnl//oTwHNZN7+ZKbfF1ontcwXXxPbZNiuj+/r4+fvw4xbb+7//+b/r88ePHKSWUsws535ZYox6T79i2HF+PBya41MfjmH3rGBmw4ZAhQ4YMWZ2s1vNyjyRZQc4Acjc/WX60CBOLSMLgvluUHdOus0D8hL+f+Vrqf2L4ef26Rv1k2SQVJOKAl+UB+WPE2VfJKu36p3bTe6Tn5ISNrryOTdqNB8W9ZL4uwq9P8KRbpe6FEa6RaE5wDEi4SB68yiJUyzrpXcli1tjyN+UMvbq6mrw6njcSDJSeqXv6vv6655CYeml8Jb6e6Wkwp6OzLEWA4TlRh4JJZKBnLkKMrvG2JCIEmYKJ8NHB4STuiHyhs1yCDX/77beJbfjw8BBf93J2dvam3XxWKZuKhxfcM/bnIEnPY0ne64GtVnl1G41PCC4QLnQ+uO7haEPvYhKEfliP4+dkqiXYwenKKodlqG2ugBNzMPWB7eTmliafGwAOZyX21aF4XhfzWlJkyTjxvvuGz74lqNFhOodAuliWw6hpoXYQr/fVlUqCbgX1ePyj6usmTNhSm3BiAaZnReailIX+3263k8IibOjZzDv4yQ0fn0feR7UxKX0flyU43Y3XdPid8WzChj6PCLPxWAHp7J2Ro+sIsabjOXruXQyemTPELnTl9enTp+m3/X4/m/tMicVn18WmfSw5PtwfVT7HWtdQqPy87AEbDhkyZMiQP62s1vOq6g8x8rXqbhGkAGXnMai8ZC3Ssqe1Ke8mBedpAdHrOTk5ORo6cQsz9cEhRHqFPhad5Ucrv/O8yCJiGzyXWdeXQ6zD5KkwbVOCq7rfUnBe3gMP/6YD2g4dE5Zi2c6+cgs3EV/cGk+sMF0nYXtoFdNi9/r8EKx7fimXHkkafs6sa3fyUtU2X0dOzPB2d39dEgrTIQpJUnhA5e33+9ZzcqEnmQ4ZkzGavC4iQSJpMGfh77//Xp8+fZqgQrIKuc+xfuVDPMS8ZfvlNXVQIcvx97NxznPNJTbpofV/SFarvDqIyTfe7r7OfaZSWWIOdpLoswkL767VX75Akn3kxPPDwAm+SptCN2kY6yOl2Cee/j8/P58pi64tbIcz4CgeR0qQolN9/V7+r/u74xNSViqPiU9lUKgsQignJ3N2aEp06kaTzyP2kUwwKoilmKLPg6p5hg79lmA4KisptZRD0SEvT56bNnKOu48J29Alw01wflJeHof0Ort5TwXDudllkfBxW3omKUPG+fn5LDehZwDhvsV3c1F5CRr89OlTff78efr/8fHxjdJSO2iMcKwdNufYOPS7ZNTrOn9TAe9JxoAbaO+R/wrl5UFZSfJA6Pl0ZXGyLikYxry4KBlLSUFaSXc2xU+qp1iUky/SpPExUBu4cJLC8XK7MeB1PlY+cdM5D/3vfXMly9+8LLbJx4zPlWVyA6Gh4FkkONb+hmLWSw+CwvHwTZgLOFnm3kePPSblJc9LvzmxhGX6RpvSFHWxOVf6PvbJu3aF191PYor6dmgTTB4Mf6MxSuPRN2tdR+WxpDD5vStGel6aO468qI9V89gaXx7JF0ve399PL5fUPTxLJUnGSVLmHsvq4nmcOz4G3o9k6PNZOYHlPTJiXkOGDBkyZHWyWs+rau5yy1IhrOVWgFtrh6w4/47WIi3Us7OzWdzDabOJifXy8jK12V+J4u1gfx1SSYy4Dup0uI4QTwf7uThFOllPfm/XNu9jx9j0a1M8Ufd3rMZ0j3uFXe5Lj904q5EvB+T84Jzwcek8L4+J+oF5F2Y/8LnHeJ76VPXVA6A30qEDPo84p+mtaVy8HsJXyTvh80n9lOeVILxOCGPr+vR8nSnL4xieNNsZrX6/PFQeP0hMPWf66veqr7E10vjl+dELdE+J5XThCe5ZLv586cV18VtHLo7xvLRmWEfV3Av7EVm18iJUmALtVfMgqg9sgkf4QLWxcMJ1G2cHNXLicFMmbdffR8YJQnGIKJ2jScJF6psTM1SkCag+JwXuQWcuSN+wqRg7BcNx8phRgjQYn/Tf3CBJY+Mbpitt9rmL93gchP317AOst9sEuQERjl6CZQmzsS0+dxV78T4mJeLXcT668mJ88OnpaabMJYwBcWyr5gqCz15KgAqpi3O54ZOMTCpMHjF4eXmZZTDx+BPjOg6d8nNn+Oo6n19ujHI/S+mYTk/nSZdPT09nY5MUlvYpKpkUHtC1HGeu4dQfV4yuDFX2ZrOZ+uOG33tkwIZDhgwZMmR1smrPiwHWZJE58cFd6+RBuOXgVkcqyz8nC6vqrVUpy8+tRfdGlogU6QC1WzTJu0l9TX3z/x164f0kCrCOjqTRwbW6hhaa+knrOfUzlc3yX15eWkuYxJ8OEhUk08GqtHAJAZLwkbxVlU1vhtBj90xpvdOLrpp7wPK6dG9nPfM5EinwQLsffO3yOjpBgs+BrLfuXWPdvHTIim126JT7AVm89LToSab5q3o4Bg5NdiGFBGE6ZMbxcI+ZhKLn5+fJi+U7DVkmiT+EotUezjE+A7az2zPo4XnSBY6RHxJXexwGfo+sWnklKrPHNCSCOjy5aNVbmmiKDUnShuYbJe/xhdUlAGYZnDydIlS9XGidIvB7O6jN+yThhO+ym7NcVxp+TWqH+q17XLF1sYoEHXl5XT+5aer+tPi8bc7iS9c5S9Nh3U75eTmEgg4tejcUHEJk5njBTxcXF3V6On/ZZlJEVH5SAirP5/+hvlXNzw96YmyunS6W0x050Th3ccYE8aov6cWfZC6qDbqH70Bz5cc2c6yZsYT9YLuosNy4onJniisaKlQq3rbX19fZWwMIOXdhBx9DUv85BzRe+ktI9L3xrSQDNhwyZMiQIauT1XpeznRKAUFa5u558R03bjU6HOinyHUdre8EUekeHiKVpUNIRtZ8guNUl5ftrn3nQakNXVkJwnJP8xiCAj1Efk6Eja7dtFbZji4YTc9JpIGOyZjarOuSxent9GfdeeASJ/M4ZOUQn7fLiTIuaazVf93DPIVXV1d1c3NTVVU3NzfTa08uLi5m3hrJAg6tcWyJcNC7JlzqMC77zTHtMrK4VS+40sfXy+1g947pKk9HHsXl5eXs+fDsaDrMrcPtHQmHGUvoeZGEQxh2u93OPCK2//n5eWIfPj4+zs58sT/c5y4vL2fPJJ0t4z6l8UzwMZ87z0UqRHPovK1D1O+R1Sovh8y4gFNaEw26v1Cvqh9E37gdtkkbspQa3edDaVK0eDo4juIbxlLMqCoz/3hPirN5rNDL5WJKcJMvuA72dNiPsAcX9pJi5+bKcfN6KX7gMj3/TqmkMeTc43WMb/pzT2xSlutxJUJJrlQ5v2h8bbfb+vDhQ1VV/fLLL/XTTz9VVdXt7e2kvHTMgwpLbf3jjz9irCIdpUhzKj2DxI51I9PnMn9L7EuuUdWfYEw/vOxGGpWX5OLiIipWQnOC5RJ7mYqEm70fNWB5VF6+nzHmRQX69PQ0Yx6qbCVX5hsBuDekF07qs9ogw1D3U4Gr3NPTOfPX4dYUpx5swyFDhgwZ8qeT1Xpeia1TNQ/+0uKVRcqDmh0pQuLQjVtryfNS4DNBIik5qfqSWF8SWp7+XUdESEy9dG/yvHwsaEE7W4iQaIKyvEz3yjpWmFtovE6S4EkG+9N17KvqOeStLXlxHGt61v72WScPsb3dGbbNZjN7kzGtZ843BsZZHj2vn376afK8rq+vZ+eFfKySN50sc3oaXGedOPnAYfNOOhauhPC3mHppzfIgMtsjNpy8mJubm+kz57UjHU7QSAQwfs/n5muac5weFcfdvRn3WH2OVdU0hzh3JCKAqGx+fnp6ivsEEQDPfenEueRt+dx/j6xaeSWqLRevs3E4qTul1G1y/l3HJHMKu2PJEk5qV5K+WaZJtCRLk4KLJC2mJA5jcvJ170RaalO6jgs+xeLS2HRKSZ8TZp/q9Bib1+ObFjdrhw2ZDcEhxgRzJyNFn8/PzycI6/r6evq83W5nbXYDgjEvvVjyw4cP02cxDHW/w9wcN9Lu+S6sx8fHqQ/ckBh/8jHsYltUHG6Uehkc67RmlwxO9pOi31k3D1p3xo3P16RkHcJ0aM/jiKq7iwvzgDsNcFf+ZEV6ZnvuYcx8oc8KNaS+dsrL2bEszyXB7D8iq1VefKA8he/0YKZc8UwWXMAeF+LntKn6ouBmxI3cJ0BXFq/trFfek645VKfHjTqFlRSk96/q7bmzVKd+S/FFfr8kS4aCW/O8rvvNFRGtdj6DYy1DbshuxFR9IwslujCvcyv97OxsFoe5vb2tqq/kC5bFbBC0zqn8qLA8HudEIioyKi8miyV131+5kURjk+a4k3D8HicSeDtpKHQeuv4m5SnR/0yfldqksrq4H+t3xcM2e5YO3kNlkYxf/ZaODqg8lttR8pMxLzSiMw66TB5ukDBGm57HiHkNGTJkyJA/nazW8yJk5R4VLV5h+3qVgOjCtPodR+7iJw5hdBbdkuclcSisgyc6b+KQV5AsqqW+OjTWeWUOidI7TRi31+kML7bF6+zGOnl7qieN4SErmvfzmaQxkBXJuaN28H1avObi4qJ93Qqp6VVzi5kvhry8vJwYgtfX17OEu/KaBKXTC/EjJT42evEh48RpjDzfHz0CzyiRmKHu5XqcK8WSBffy/5QLkPeq/oRQcM+gqF3dOknM05OTk9YjorgH4whAFz9KHl6635mzaq9/XgoL+P1iFHoShVTnUqgjxbOrchLmH5HVKi+eUWDyzKp5mhxXXkzJlALlhCY0cQ5toolG3EGAiQ7vD35JkiJVeccoHy+D49bBFgkWZTm6jpPfIaoUWPZ2+qbJOjtojv3vpIsVJmWZYoAe83TlpbZRodA4El05KZynp6fp8+vr6xtaNc8IpTcc++bM+Vs1j7EwTufKk/HjboxcSet/z7TQUcbZHj+PKUlrIa0/X3NurCWYesmg6eaPx4WXDCIaDZ0y9jOjyRA81OYuFsX1l4ggXg/F1whTVPn4dEQdz6DvYRddRwPkPTJgwyFDhgwZsjpZrefFd97s9/to6fBdOGIekn2YcrO5pekWUfIGuoPRKi95eCrDy9V1dLmTe71kIes+75vuS14Uv+c9bs13jDHW6bCNs9E6cU+0szQ9sNxJCt53Vr1LN5608qtqRqqo+pYD8OTkWw64q6urNwxBvuadyVU1J5URg4QLBt0TxOVQmXvJycsVRZpeWQcBsly3mulpdx746+vrLMtIguDSsY6luaz2OJSV1rPf4+OXxEkIkgTzd5Bzh9awPS4sqzvqsnRvghC9Pd36rXpLXkp98/2DjFRPyMD1o2u0Bn5U/iuUly8+DS5ZVLo+nQFzjNgnfhdvWYq9HILw0maytCF5O/0ejy+ktqQ2JAXqGwbhDn8hXscY6trQtWVJCTE2IGVY9TZzdaeAvY1ujKRFmvrA+9lewoMS0tSvr6/r4uJiavfz8/P0avfz8/PZIqbCo/LyjAzpubnSd2Znp7xSX/Q5nVHy80ZuRCQoS8+Nm3diXy7B4RQ/b9jNN4d4va70l0L41zfxBHum/rCsDiJlGMPHN5WV+nPMtccw/GSApDiXr38+T+633FsoNNzEBP9RGbDhkCFDhgxZnazW8yL5whlWtBBJ6nBvjWypRCiQZeQWLH+rWj5U69/TQ+wsts5aTBDAMZBGCjj7PbpWfxno97M/KfDfESlY7vdK8l4dslNdnj+Q13bsQPUrBd9Zp3tn9EQp5+fnE0Ho6upqym5xc3Mzgxb5/jnm26yq2f1+MNmhXLXHIbAEWWkc/Hu/PzHVVC7rJAnHyRNpjXjwfimjBstdIj8kzysxB9kHwlffOy+9P9188+/S3qIy0rNKmTQoiYxCobfIz2pPItR4+wkN863TvIZemK+lDtXheUHC5T8iq1Venq5GQnjEYUNmYX58fJw2Cj8p7i/QkxDPTwwnfu6gCm62KbOD7kkbd1JqXTwnQRpqV4IDXNKGIUnQA8eDCV31W4KV+Hlpsfp4pGfATc2lex5pA+rqpOLgoiWMeXp6OotZkdru78NiH0mh15y8vLysq6ur2W8OY6v+Ll7q86GLnXbPtxsrrgNdn16yyvml+1MbnNJP4UFpGitMEEvx+cTx4MHqBEemudhBjUtzOvUv9cuFZS8ZnAx3dOIGZsck7vYWPm+mivIYnEPUac34dTxy8R4ZsOGQIUOGDFmdrNbzcrafwxJVX60JBgd3u13d3d1V1VfLOCWr9Dcsu2eTYDdel6C9BE/QiuwYheneJTJGgv1Ybsp/xnFbImx0Z+L4uTvU2ImPLz0qZ3YeKi9ZyPTGkuWpz7QqD8G9ag/fV5Q8WcKBnhrq5eVl8rDojdDz0vzsSBrJM3ZP2j2D5DU4yYOwKp+Ns8c4dzqYmxZ/x3jTPR2bk5K8zO46isrm2SX32n0Nd15DIit43339pDZr/XckkW6++5pJz2oJXXDkhX3m3KX4QXe+KsURoA6uTUSOHw0nSFarvJbiMEnB3N3dTZkOqua53qq+DeTl5eXsBWvHsOk8TsDyuvjEIYZS2pyWYht+HcemU3iESD1+4Btyigs59TfRncVSS3CC4++sv6oiLMxrO8g0fZfYqFrIhLY4Vvy+g4EpDlFxc/QNTGXrZZC6x7PI+1ioL0twp4QsQB8fKvaOaerjwTp8I2e5KosMSa2RTpmlNaK2pXXOvtK40HznYWg+k/RCUCnZLhbUxVXdeO3mBvvM59DFiJbiYuy3+uTfURI0nuaEQ4iuwHiwOGVj0ZwgrMs5y89LEP/3yGqVlxMEUlYBt2xSIkmVlc4u6W2nzDCdNo1kafFhp/YkgkOayMdQWzkmfr+3l5uq2uvj4f1xa60LmqexkdeWlNdSKiEubK8nKQjvTxqX1OfNZjPb+JI3zTmhDZiL+5hzUR4n4BhI+CoMbfyHYg2dUkq/pfWSlFeaez4P+T9jF5x7z8/Ps/RHVB6OUHCNsG2+frpYLvu8ZOykeLY8nZSVotvg3QjrlJffz/nFGFw69qHrlgzdzkPrPOuleJorL/3v81IOgBu8bnh0Sqqbu98rI+Y1ZMiQIUNWJ6v2vPg5QWuEGVzbd95R1dyakfdVNcfMWZdDeGTU+MG9JLK02LYlquuhMfGy+Lv3k+NDa8+tsASbnZ2dTVa3W8W03h2SSfHBBAEmhhLH5vX1W8YGjwV0lnnykgl1dNag95tjJTr75eXl4gsj+X9qD+OtGpsODk3Pzb1tejEO8fIFh117lsTnWAcLsS30enysO/i5g6PVVv71sdH/yUJX0NUAACAASURBVNs7Njbt4jGeVNaxCI3vG0tec/revb+unKW10EGIXLP0SpnH0sM1HQrjKNOfPublE5GwXxcvcreWCzjFyQQFdMSMNNm0kJl4NWW/XtogPG5B930pduHf+WdtZmnT8DJT4DW1k5Aqz805BJlSG/nYstyuzk4xS8EyTpWeaYqzeYxF3yVjQHWojPPz81kmDdHjt9vtrM9dux1K6jahNA7eZs3vBN04HOeEnhTv6GAy/98NN/1Pha1nmjY4GlFLZBIKnyPHQ/cnY5Tz2sfZ53wyUjvF4fC1b9CMW/peQiMvQfgd5O1toPhc64xmN4r1P8/weZ0kInHuPT09vdl303zz/ec9MmDDIUOGDBmyOlmt5+Xvm0kEBcIZbpF1cAS9Cb0hlgdMkzh04+1JZJCquTfgFlKCNzzA6oSUQ5+7MUrCMekymPB+J7awH/RUlggWbtl2EI97xqyHkmBYf/eUExT4epKOzUoW3Xa7nd4Rd3NzM3lhhJv1bJMn55IC6z42FIcGu8B/Z/3Kek+kk8670lhJlq5j+72th5hyDq11xCGOj/qWvI2OAerj5vMtoRs+P5fawzZ3RCw+A96z5Hl5Ge5Fd5JQDUelOrKOzxWteXlrCf51lmaCXn9EVqu8yBJzqKSLBzw/P8dNgBsvU/xoA0oxEW4M/nkphkAIkIt3CVZKCzbBhx2W7At5abPQ/a7wuNkloWLmJqGx7c6Jdf2hMmL6JNaTYmlpw+dGyXsENXqctGqusPl8db/iXNfX13V7e1tVX5WX5g7boWwwHTU4baLqSwffpPu1cScl6YaOPx9CnCnbhUNuXds6ZaMy2D+HltVO3t9BaB3EKsj6GNjM9wyOVbfBs80J8kuS9gZ/Vv582E+JhzFcwXZGsrN9WXZ6bg67dka3Xn6q75IR7/2gc3DIKTgkAzYcMmTIkCGrk9V6XmT+0UVl5oqquedA1hotGJ5j2G63s9dQ0PLbbDaTBeFBWfdU6IXQQqIHQKacw4vJSqbomgQFduLkiKXgbxe8dklt49gKYmNfaRUnoonuZztTHkjW496Ae2jd5zQu3m/3Krfb7UTMuL29nXletCaZhaPziNhvt8wPwWn+WV4kx4DegUOFVV/nvt7arP6x/92z79qg/1VnN4/cw0qefXqmXofu74g6S5/9f65detrpHkLRHbPQ25nGwPeNJA6f00tOZXFdaO4mqL1b71qXRJwSepSQjzQGKqOqZozT9xI3Vqu8/MBx+sxNxzd7pjnZ7/f18PBQVd8ycVR923g1yJeXl7NNWJKUja7jZrD0sKlYnfXWKckOImX7uPFrEnexpG4z8k01SVeuw4beZ246HE8q881m044Nxcegiy/wesfpE+uNZQhWVmzr5uZminldX1/HjCXqC+dlgsKozPUMUuzFlfYS/JxYuNzARH1mAuA09zyO2cF2S9Bm12/G2ZxB6AYajccEZXFzr3rLbusMiK7tncJL0HyaZ1TMuq6r3/uSxI2VdF8yVLgfdc/InzX3zsRA9f3MD+nTQJKQiZzezPA9MmDDIUOGDBmyOlmt5+VeRrL6nVXnrr6s0ufn5+lVKff395MVmhKj8jUqyUJyi7n7nIKtKcjs1m8HO6h8lU2Yi1aYW7kJMnNoz8cypWpy9pj3ucsbl6AsCb0teck89E1PyQ/burXrHjj7tHT+SW0m7HFxcTHLQajPnC/0YJxM4gSF7rk7KzA9a39dO9v++poPD3MdCNL1xMHenu6AsD4nCCpBpcmT6zwgzffUBvc4JU42oWfdEZecbND10/vDcVqCzJKnk847JcTI231ycvLGO9c1S54cnzfXphNIqr6RlZKH5+EW3bPdbmfrlPtMQkj+E7Ja5cX3eVXNJyIfTrdR8cH98ccfU/b5h4eHaSGT7lw1n7BM4OuudGK0sY0sT21LUJ3+doepKY5zJ9q6FnyCEHxzXGpb+kxo0OnoS4uHStaVH40Lvh1A9zw9Pc1iE64I0lgnKI318GgFnykNmo496fV0BhZ/42akuqpq1kavh8+Um7XGU/c45ZpzasmYcGja6/Q+e/yrE4dlE+znG/LSkRbemwxEl65O/r4kHVSqz8m4cOnibEtQIZ+nx8n4fPmsDsG4qY5kxFXNX9ZLo4Ft/vLlS11cXEQjk33gvs3ff0RWq7z8RDetASqlTrgw+QK9h4eHNxsyN/tuE3bMXZude2jp7JCsy7TxdS/dVBuSNa//VTbHqDvH44vPlUCywqik+doP9lnjlNrJsWXCTy0WjdV+v59t/GkMl6y55NXpflqLTmenMubz1L26R/e71+9xutTGbjNLvydxw4D99Lhb8kB8nhwT30yS4jou3oYUz0tlcrNOnihJWskD4tz1eI6+7+KLXdsOKfPut86gcQMgeeb+XDoUw9fy0jPlPKZScYQneVuOSHAPYNu4FmiI6u+Pyoh5DRkyZMiQ1clqPa8uKwaZNsxfmGCxxDykJXt3dzfzDhgbcAadU+D5CgFCQazTPYiOidRZzMTaO++CIq/LGX/eHhfi3/5ai/TCRbcIVQbbrrLkbfGIgt61pmfHV0fs9/to2QrOSDE6Z0Gx7/S23Ovy15Pwfs2Xh4eHqc7n5+cZe5Ies8crOS6pzbJ2O8iZnijHwj0PWsZcF7zHvf4Ezy1Bg513yDWm+boEe/tnZzV6jIbeiXufCT7uPKSl/jjE28kx6099kiQGp3+mEC1SnUR8iKJ4X5jY2ueZfu8ytVTNEaMUp95sNrP5z32Y6MR+v588rj8tbOiBQ4kHT/kgPUaW8OKnp6fZJPJNrNvQGHtwOCy1hZtbOm3f9fl7g50O83nshLBBOqHvZAOHTgn1cQw8rsR2s0265+LiYlJe2+22Tk9PJyj3+fk5PitP28S++RGFBB1J2DbCoN2LS1nv8/Pz1E4SNlK8NUE8S4SEpY0zbcqM5+qatEZ8DJx80Bka/l0H9SXigV/bbfauxGiQ+MZLwzTFTtmmrr1VyxkyvM5j1t9S/IpzgRu8K+k0X7VeCZH6PNf9bowkpc/+cC9I8eJE4uHzVb3sp7fbv//evcxlwIZDhgwZMmR1slrPi14Q4byXl5fJEnaPgYFItxokLy8vMxfXIUDmPUzU8M1mM7M+nUSRLB130T0In2jMKo+SLMwUGE9t6MgKsn4TdEqv1GGCrlxmKaFX6h7uycnJDOrQ56enp5lH5sHj9Eyd2OLeAJ+V+k0KPMdfEAifg45Z0EPzOt1jTd4ErdJE+U7wme6revvWar+fz9QhomRZ61qXBD+m6znffT241b3EhHSLXnUn5qL6k1AA1psgxAQjute1hI4sQYIuXlcHAaa2el90T/KonKHsJJFUlo+5X5c8J41Ngp+7Z7XkoR4jq1VeV1dXM0WiDeb19XXCVLnRbjabN+/W6hYsN2Fulvv9vu7v79/UyZibskEcUpKsxxdUB4n6ppU2YkkXX/Fr0nVUVkodRHgwUe3JKNrv99OGrjFXf5g+icmVvf9UWMyAstvtarfbVdX8vUMyJg6xtyh6brxHfdtut7MXS3LTfH19nb2EU/U8PT3NjgjwM8ewi6kcC0/xty4GoXrTeNDQ8I1oiS7u0GJqo0NhDlun8h06dQiQfeKGmN6Tx/bxf/+ebdMz7JR++j71ZYllyftYp5fpdTok6rHcxPD1dd3B9kt99udGxZoMEDeCPI5KqDOFVH5EBmw4ZMiQIUNWJ6v1vK6vr2cBfsKGDLTTMnl8fIxnehw2cTc5QVaPj48zyIz1yMvTb4eYYR7QX7KIurNr9MoIEXm5bIe78OlckzyQ7twaz2/II7q/v5881MfHxxmMo5yAKjslIxbzUR70breru7u7qvrKAFU9Ly8vMy+wG0OHQJyEQGucc0d9XiLK0MJkMJxzQnAi6znEYNP8cPjQxyoFwPlM0xnFrj7d4/1T2Q5vpjGh9+pQGOvp0A6fkyyv6pu17p6Xe4VpXrlnxDmTGIu6/5iy2Af3/BJMt3Qezb1kZqrwcg95MU6Y4j5xaD4kEswSA5Zj0IVFuDfxuf6IrFZ5XV5eTpm9Ly8vZw+YSsWFA8+FlXBchywIjZFllg4ycwFzYqWNxevl5pZiH369/ndlmIQTmf0mDOpMO4dIJTzcfX9/X58+faqqqo8fP9bnz5+r6qvyen19ncbg+fl5Kuvm5ma2AZEt9/T0NEGFVIa73W6CJJfGo/vOFyWVikN9LKczPHi/b8jc7H3Rqw0p3sm2pHhnB3n75pYUn5fl/aE4PMl7Pb7BsviOJ491dEo3sQgVG+TzSvFW708XR1yC1jtozNt8DEPO+yNJ2VAohyA8ZrpQed0RIbalK8/bnOpW2WlsErTo0H/VfN/kPjXe5zVkyJAhQ/50slrPi8w/nQuqqjcWnDS+iAZu1UmSNSLLJllhhC2YG1H3CNpyL4oEA9btiXk7C+9Ypk5iEsm7IfRIq65jVdLaohX1+Pg4wXm///57/f7779NneWEaF0G8/MwUX4Ru5dHJw3p8fJzlNqRlvyQczwTZpIA5IV7CRfxMr9m9i0QI8PyO6ZyVxL0MQptpfiQPXOLebDc23Zh4WWybe4ypbSTUqI7ERvPn455xena+fvgMnDjgZw476c5tpr0leRndWFMOhQaSOGM5eUQUJ2z4XEziY+PzINXp6IQnKkjtcWj9PbJa5UUM3zfXtED0PyUpAp8cnoQ1MZ+4QKTIGAPTPTzESkUmheIZGfRbWuRqi8cH/DP7rXhfmqSEYRgr1MJkwk1m4P/48WNVVf3222/173//u6q+Ki/Bhs/Pz3V6elofPnyoqq+GRsoKz3YpzihI0un2CYt3Zpo/e4knGXWhAuV3Dj2lxMe+aRCG7ZL5OhTFtvE5dsqL92gdMKZxKMaU4mSHRG2jkkpwoMdoPc57KEakw+muRFVWZ0A8Pz/HdZ9YiayfOQNTjIfjxHb6X2aO6JSl7yX+fLt4bdcWtt/noa8TPoOUzFf1p7XUGWh61ilkw7X8+voa18GPyGqVlz9Ibjqy0p+enqaJpM+JXtsFS5c2uareWqV34vRpTnRXhJwsVGTd5ublpXpUNsfpmLQsbrmm4wKfP3+evK1//etf9dtvv1VV1adPnybP88uXLzOLbL/fx0D7ktGh/lXNLW7G5njuLpWdnmGiYSdPMM0VGiesk8/Kjxt0XlS3wXnsJm0gHJvOu2L7Up2+kTqRRZ+5oXsbmO2CY7gUg+sC/q54WDYlxYKcJPDHH3/E1GAcD62xhHaQyOGbtX9m+7TGXPl2njLrPyYWxvbrc5fCiYapG81p7tFA0HXqq6e18zFI+w4N89fX19maeY+MmNeQIUOGDFmdrNbzovVIC4IHZHe73cRYe3x8nB1STt5MJx1+LnGY4eTkZGZ1MOmv6nLmEOvpksU63uwU1nRA1i06eiT+okJ6fvxMqPDh4WGKc338+HHyvMgwvL+/n73ugBATx86/c4uP9zvtXGPoFH6P7/kYJuiY8NchuFZWLGG25KnI4lWb6Xl5fDOJe0du8XJsOs+Cz56eUjoawv4seQoqi7IUT+PcYz0O8bI99DCZ7NVjN+mAruZ4eicfvSiOoyAvzj+Hdv0eX/8eL03PemncfMw7b5rldOPmnpfvDRz3FIdlP1QeIdGObejoQOd5dTkUv1dWrbwYyyGJgBRrZnpwN7mDLZZgQsFUPtl5dsEXiDZyTjbfzKjk/GGnjVIxFA9u6zoJlZXOqaX36ZydnU3QYEqHxDiXIMFPnz5NCmu3203t56I4OzubpVrabrcxpZTj9B4cT5uRU4UdouFi1jgx24c+U5n7O7jYhvS3i2V5m2ms+Ph0ECCVlCvTFO/VfOCmQ+kgyKT0/B6OjUOGvkHzs59RSoF/L8vhWsKGnP8dcYHrxOFkj8WoXI/PpfRSDkW7MkrxQlcwKa7l4mSQLkbq7ekM8xQK8bI5ZqldGgOGHAgRn5yc1H6/n4UXUviG83OJPHOMDNhwyJAhQ4asTlbteVHrS7M/Pj7OvK2UxFX3dG67u+IpYe35+fmULaKj0KpekkbS+6+q5u8Uc7YUD2a6+6+6OvbWly9fZpTz3W43ES72+/0MKujYcE5bJ4SYvC3S4i8uLur6+rp++umnqqq6vb2dxs29EVq+7mlQOo/ZLVv/nX1SOfSgu7dWJ2JMgmjpAbj1T6uc79biuFEchkkJVr1On9Onp6ct626J/JGIGEQGvC0Uhzu769zzSpBm6nPyUhO71uF1fU7QnpenuvwzEzJz3kiSt+ZHU/y5p3oonaeUriOpwqVbFwnG1XXJMyLs9/j4OMsp+/j4OO0tDw8P0z5BZGzp4Pz3ymqVV9VbanXV2w3I4xYdbLG0sJ3JVDVXXpzUuie1oWr+viiHz9JG5ZuJRG3u2HpcZIT8mK2CzL+qOZORmwk3Lipj3sv+kN10eXlZNzc3dXt7W1VVP//880Sbv7q6mkGnVISEGjj5PV7j0E/a3Pw7KkyW0UGFHl/x5MSd8iKk6axEbhophiFIKEFEvulJOI91TxKfT4QOfQxSajSx87iWDjFzkxzarJfazrFK8KjHfKrmkD7HioaG/k+KzPcGZ0HyeAnjPcmA8Lm6pKQ8Zpf65s/60FzxejmPXTpFJsNW/aRhzLg398dkqP2oDNhwyJAhQ4asTlbredFTqapFGKTqmzWTmFndeSN5HSSG6Lqzs7MJHru5uambm5vpfkJeZD/SevG3MtOi6qxahyXorXhAPXleDw8PMxILExW798mxYX+c8KI2XV5eTv25urqavFKNjfJQXl9fz3JS0nLka0YITzIQTEiVMJCyPtAD8KS9+j5Z3/zdy/ZX6zjEksSZdf4cncjAsa6q2Vj4uKvt+ntMZofUR8mS55TaJsgsQXNdGxzWXQrWc+6zno4F6BCehxS6vvvnzmvuPBL3mPkc0n6S2vK9HivXnOrWX2dceh28XpI8TI2FIxTqT/I+9doiZ3dX9WdV3yurVV5LrBtOfmYG54ZG4cZfVW+UF+EB/bbZbGYPSi7yxcVFvb6+zmJwYucxHdL5+fmb7PfOmNJ1ib2lOpg2iTEJwqWMuZEFxOTCHU08sar88G3VV6UkaPD29nb2+ebmZlL0/hJPxhMkX758qYeHhxkrsotdejupZLp4i8QNHbVJfxO9mAtaZUiS0cRyubm48aS+sAyHEVM7/bsuLnIo1pHYi5xvCX7qYnA+RvpM40J1616n/+v7JUOBY+PwWVIY3rbuCAXHwxUzxymlWVNZSXm48dxBaB677Z69zyHW0x2xcbiS93s/k6FPmJ1Hj5QcggzDxE79TymuqgEbDhkyZMiQFcqqPa908K3qm0W33W5nQVm3dtJr5t3a7Q6rEg50z4B/ee5M77ZSe+h5eT7BRBbguayXl5fa7/eTV/fw8DCDmpJ1pWB8ggD1u9p+iMSgdhM2FHT6l7/8pX755Zeqqvrpp5/q5uZmRk5Jhxc5zoI66SHyGdB7dcs6eRAaU++nJ47tYCSKxo/wMeukxU0mlktXL70wBvtpWfN5OFnBx8Dbnuqkd+GkBslms3njzSe2Hz2NjlDkv/k9ybPgfak/h8IGqid5NEseeDenzs7OYq5Qb+OXL19mHkyXws2hepblY5vG2udeB5f6GKTQi7evO+jtc9LPqnZs4WOg42NktcrL8/NRSaXX1PtkIQ7r2c27zd03GW72hOZYBg8F73a7GWXUH3Sa2A5VsJ3MdkHaupfl+D3HR5+X8h06jJHGhDDodrudxbyur69nG7mULKEFfhacmZiQhH15QFgbaHreDhclJZD6RoaUfpPCTRuaH31gbK5THNxAOI/0udsA+L2zz9ie1Fe/R/3w/vhYeIaPDgrq2LEO0yVGnCubpQ0+hQ0cZvN4FQ1EfyauXPmbykpKTcZMesZdfxLMmepPcN6SwaW/S8xBiYdbeI0zZLmfSLguPMTSGdCcB4nS/z2yWuX19PQUrenOUtJC5oDRckoWg8rgS9OYjkhCsoEyyqs8jzHxpLlvQKSaJ6+BD14va5TntdvtpjawfSRFKJFtysbNzM/0KtMm6hi47udC6Kxa3wT5Zmp6jizv9PR0ytDRxTR9w+1ILx3t1/vTKRiJB7cl3NDo4S2J2sNMJocywqSNu2q+wSbijdrmisNjRd4f9866WF+X1cN/dw+Az4dx3Y6Iwf6wnm7TVF8SkcM9TZ/fnBOcU06NT7G+JekUMNsnIpI+u4Lr6jomtsTx5FiqP9066Ug8fkwpGbys89C6OCQj5jVkyJAhQ1Ynq/W8/vjjj5kH4Qylqq+WirwmubgO71XNWXd+oI7sOFqf2+129k4nxrjIRHLKN1+k6Nh8R2mla04KPj0kwmxeNhPEXl9fT14MIQB6Xo+PjxM7UB4RWYkUWl7yMHm6/vHxcWY9KlbHPvjYOPWbxwr4vQs9pCXLnt87PJRgIV2rv8T9+dxoPfuhax+3FOdirFEIAGNrhzwv9Tl5F+61OMyWYiIOU7slnbyvJYvf25M8FbZFbUhxKve6jvF2unip+pk8DZbdsQPVt+TNdd6LymV/Umw5QYBdzOiYGJLDjB286fOTc5kMZ67zjmHINv8nPa/VKq+q+YKhgkkpmEQU4KRnvIWwIWG2q6urabNnMJsxntPT0xkcyLJJYadb7VATs2d3cQef7ITwOmyf7by6uqrr6+tJMREO/fLly4zur0l5fn4+SwPD+CChT8GYVV8hTNZxcnIy1cWYl0OqToxJ49HBeR53IJzHDZlEn6XgvscdfcNICsJ/T6mmvC6Pw3ZEGa/rWCUh6ZS2FDEhW8ZYkuHkxJ8UH1LfXMkn6v2SMcJnlOJmXq/afAjWTd9Toae495KBmdp96DqH15Py6RQMy0j1exmUQymadK6R8C2NZq3zu7u7KeZ+f38/I411kPdS/Px7ZcCGQ4YMGTJkdbJqz4sMNBIp+HZdEitI8qBlTM/r5eXbQdftdlsfPnyYKOCkhns7ZGXs9/s38CQ9L1p3Djd1lmSiwMozIHRJi1ne4uXl5ex1JJeXl1OGC/e8UpYEtpPjKCHkRRYhoQVCfrpWdXaBdlrG3WtHGBT2A770DJzYQw/i5GR+cJ2eQkq06mPRMeUcQnT4iZ5xgh2PhcK8XvcOJO5peDvZ1uQRcTx9vnZz171ajqm3hR6Re1F8xpIO7nXpPLxUj4TzykkvyYvzsinHjI2L99mp6Z0H3nk0Cc7U9x2j0Ik/DCnI2/r06VN9+vSpqr56Ybvdblr3HMO0b3m7fkRWq7w8ZY82SJ2Z0jVM/Mq/3ZkEPlApL2VEv7y8nJVHWIg4Lh+2n3dIrnSi2lK6zYhUdy6Sk5OTGXTqip3nywhzqv6np6c3tH3Vw1gj4bAOgvPs9x2k40ZBR3UnvHNonNKm5yw1Pm/fXNOiJ/avdiZ4k1CLYlm8xxmCPoY+HzqlwvHw4wLdEQEy+vw82RJLLMUt0m8Uf9Y+L7w/HeS5JIQj1f8lqE5/l2KCKcMM54dTxqnYvO6l9neGD9dyRyn3tGcdpMnn7RA86/eMMjTINe95PMeVl8OGbKfqIYcgZTv6Hhmw4ZAhQ4YMWZ2s1vNiXj2dX9JnQjIUP5eQzi6RoXh9fV03NzeT53V1dTXzlkg80OclZlkH3cjqI3RDr6NjibmnQyZVYkiKcNJ5ColE4OKwCaG95P0KqqSHKHHvgh6IQ1YcKwqhY3oX3reO1cXx8Tx2hE1Yvyca7eA4P3ysexyq6WDDYyxu1t9BhvotJXRVlhH9f0x2FfeYnOxAT4XC+b9E2HBoLdWzRAzhvfRiErRMITqT3krssKHPtTRPO68rwX8dBNiRg6rm+SFZ1lK9HKvuXYEMffAzc7WKpKHvyTb0/YR7kMhcCmf8qKxaeWmDdIiJQjjP2VwSKiwxDKu+KS9mRNdDIDuQk0Wxp8TsUjtYr9rsZaQDpWTkidqeFtkxMIuPG2NmDjcldpqE0K0m5dXV1fTOLsUMCVMlxhcPdgvCTEy3DvP3BLMUj61JtHi5gBM93sfOoToKN3FPfcXyHM5mW1WOQ8yqi2PIMfB2834yZanE1PeOhZuUl8asa8OhGJPLsfPVobUEf3mZbvCxTFfGXQwvtcX72RkODid6X7pYX5qvyZjpDM2l+B7nQVIwKdbIpAs8nuNsYRocVFgybLfb7aS0GHP/ERmw4ZAhQ4YMWZ2s1vNiskh3twmJ0PMiJFI1T6Ek2W639fPPP1fVt9d5yPO6urqK1quf6XHPS+KegbPpaAES0vTAf+qPEyESvOjWJGED3kNI1g/HevtlPV1eXr7xWKu+5jb0NyZ3kKY+61A0WYmUBHvKimT7Uv4/t37pefm9CWp0skIXqE/kC1qlLFvCslPQX791gXq3mPVd1fz8Isfp5eWlNpvNjEGa8k0y6L/dbt9AQalvtL45LmwX++dtTv3rmGqOPBC56MgXXgfrSd5jd1A89VX1bDabNyQfCb01R0GY7m6JHONkHR/DJeahj6F7eSksssSeZpmnp6cxjHB5eTkjjL1HVqu83F1OUEnVt4VIyK3q62Th4WNtYHwvlTKia1PebrezSa3yCKEkxpfEJ4u/Wp6bMl32tHEqZseFyYWd4mRO2T45OZnBftyE/RhByrp/fn4+jSGVvI8Z8ys6088ZTmrz09NThH4Ir/pmwnHvFjmVl5RnosQz7uEQpsrxsfY4XQc9cXx9c+qYlC6cXx1rjvAiGY6EiB1yY789luuxupQA2/vTUeM9Y0caKynIDh7k/V3GDY9f+XNkXWTEHWJF+nNijIfriu1MsfBUthsXfG6dkk6Ggr73mGAaT6/n+fl59sYKxbbIPOTe5AYA58dms5nttTSM3yOrVV5u5XYTyy1celt8USVJGorX3N7eztIp8QWHHndguzyTR8KVuWmSPpr6IKFHp4mcrvO4jSsylUHPyTOGcNy40bCdZ2fzt0lLeW2321m5Tp7wc18cN45Np4iOEe93Ilh4rIILaTWTJwAAIABJREFUeClDtrehs34pXUDfPSJe74H3Q968xyd9U1d/mFhX13sstWqe/sefGzehzWYTPQi1L42NP58Uz3Eygo9tOvflRqyPVVKY+syMErzHY226hoaOH5mQOFGmM05cMXfKq5uLJBE5Gcb3nYQ08Bk8PT3V4+Nj3d/fV1XV58+fZ2+v6FLFdQhNZ8y/V0bMa8iQIUOGrE5W63n5+6c6rc/vaHH6e6HkXSn/X1VNeQDpoVESNOc0arbHrVW6z4R1aNXRImI9m81mev2K6uVYpPiZvAmHT6vmkCjbQg+kaj7uzswkVOhW8yGIyMVZUQnDT1Zs53V3MRVvW3o5Zqqn87BoYar97mk6jNmxv/w6ehX0Ull35+H5d5wD7KteBFo197wY1xVSoTXz5cuX+Jodh6u6MevEPUmKQ4Mppqm2+uuL9JfP18e387RTHFTj7utZvyWvI/UpXcd2HlpLhLT94D0TFXQsacLF9/f39fnz56qq+vjx4/RZmTR0naMTCS3xPWRpDL5H/iuUl7v2/J44Nh9i1TwLBOmbgsJ0T8LZnYLbwQEkRfA8GpWiQy1dkJmigKqoqsyS75OI8StmjGcGfY/9EDra7/dvYNeq+UsnP3z4MH32+BmzQ3hmkhSTVPu5yJKhkJ5B97JBDyjz+y5e2onHKlLsx8U3mRQnc7iHmwsXP8eTsU4pjhTn6uILGjfPZl/1bb7wuqqvc4BvGmCKK849j8OqjfqNz9ehTx8P/42buhuMfCauQDl31H7NlbS2RcBS/emcqMaAkkIFFF/XSxs5x+bs7GxWL9uc5p7qT7HtqvnRDM+i8fHjx6r6mklDn5kCyvcc33ckJycn0zy6uLj47vXWyYANhwwZMmTI6mS1nhdz7LmWJ/zllmxHgfUsFBLPKccgLd13Wru0ROnt8SAvSQ2JrJHYcU4uoGUsD6mqZtkcaFHJm0n0dnqcqkt/abnRI7q8vJzuIQWW/VcbOJ6k/qe3TGvME7GD/eEhWll+hKw6kge/d4tbshRkZt88m0mHALBe1sN5fMgSTeQLt+zZb7XJr+u8Gf2fPFvWrYOqieDDOUpvRPMm/caxcYgueV/eNj5DX+fdUQhlFql6e8BWZfpYeTt5Pcujx+vj7kkFUnnukTlqQE+QY0Dh3HXGJvuY1qKyaCTCBt94nvJgcq/s0BLuoe+R1Sovn7DcbLuUJ91D9EngtHBizoQTOMHJHOQGQizc01hRYXZMKI/98LwUX4jp96d3iDl2zvacnp7O+i1qrKjyXYwmYemuZDsM32FDnofpoB/COCcnJ28Unsc79DcpU0GqHcusy4LB9vgcc8WmNjPeSujU29PBRw5Np5ioG2bODE3j6XBTN1Y04sRI1Bx5ff32gkLOA8Z4X19f6+Lioo3vUcF34+Fj08Ui/fkk5cVx0ucOjuuuTzEob6cbQX5kJJXv68XLS+xHKogU6kgxeZ7l4gtkRY1XbIsKy9/A0RmI3X7WjeePyIANhwwZMmTI6mTVnhctze4QHj0ieju0tOhF0SpWWQlu6V6jktpGS5SekkvHkkxZKAQb8uxOYjN58JnWksMoghCr6s3bUmV50Upm8NUhl2OYRO7xOtzFQ9xkbPLgrMMVfPapbelzgi+WYEOfEx1USOufHuuxzDvCcW7pd/CZtyVlI0nnsPzAvD7rfnrJT09PszKen58nD4tjQ89esBy9Qj5TkhISxOT9I8LiTLbuYLGHCjSGQj7ojVLSXF5iDrpH4jC1f/Zy/B6239EjzuFEAJF35eNY9fZMn2BCneUik5Bt4LNifb4euz68l6ghWa3ySswsfeY1Dh8QSnEGWNXbTBysxzcGLjLfBDjBUtvclff4gGPW6oNDOgnG7Bh5+kxFrb7u9/tZzEsw0G63q4eHhxnbkPAEU8AITthsNm9oyEl8bFzhp42XY+vf87dO0gafpIM60r1cpN08pDJmiqy0AaT+cLN1VpfHPZbibul7fzdeil2Saac5pP/5JgeHUcXiJfTMMVEbOG4Omad+dXE+leVsV7U7waW+rpbipX6dyvLf0tw5BLOlPcPnlFPdWTfhPLJHuzgXlRfj56LA07jQnGDcjvuHPnsGGn0+Bhr/Xhmw4ZAhQ4YMWZ2s1vPqLMmOLbXEquJblf28UVdXF/x1y8+tsWQF0lJV2YesuOfn5zevJJAV5Raus6LSWRWyx1Sevt/v91OZFxcXM5gmQWG0qvV9gm8I/dASlrWZvAvP9cgyfdyThZc84RQA92flZXBuJNjR4Wv3oJcgvCT0NJiazOdJglL5m/rD58ND+peXl7N0aCStkFBDeN2JQ/QMOD99Xqb37nHc0+Hy5IEveffcAzgmydNneSmX5xKBhNfROyFc7H2rmq99jmHyvDSH0jzxN6H7GKYQie97fuZS7VYiZpXXEa48mXZH2PhPeV6rVV4+AAnTpTiN2V1rd39ZTrcJdhs3oY4O8+ZmlhhfDjeobZygu91uxggiw1Di2Dz7zQ2I2TpeX+cHm1nexcXFm4OJamMXY3p9/ZYXL8FpVfPDkyqri9vxuS3BMMkASPU7a4xjpXGi0CDo4hvcjDT3OhbesUZSui71MSlWV+acr7yORziYs7CqZrCUb0KskwkECEs5vO6JflVOR6VmbMyh9aVn163fBHWqfyr7+fl5+tzN8aUYztJvfniYBkUSV95cv35shnuBH0/hWkrJEDRmbA+PrXQxM5+/3Ce6MMZ7ZMCGQ4YMGTJkdbJaz4sur8MOyZLWKzbIoEkkDYcYEisoCb0GWmhu0UhIdpCnlVg8fr5G7ddBwuR5qUy2S59pZXM8aGGqLv2lJerMzET+SNeIDJIOrnqbZVEmeJPWplvVXlbyZNxj6IL7nefVwXUcM33XwVJOakiwVpJj2HA+//k5eV5qF4k3KUcf69HaSd4HUYeXl5c3aICfbdRvhCe5FjlHurdeJyh4ySNVO7t54N4u11U6C6axTXV2xDJ53zwD2p3ZZJm+b6XXlvBclhMpeD/Xb9rjSD4TlOyeOFmmFN/DfO74WP6IrFZ5PT09zQ7ISjrlVfWWbZTc5wQ3pfIc2/dylw7fVs0hGYdnVA7/Vs0PFT4+Ps4OFhLnJiSyJJxUXKDu5qtMF44h+0n8XAtEbbu8vIwsM6eFe0xyCdZl+/g3KRoq4iXWoUNEDjd2VGnCxWnT8rYl5X1IHALkxtDBgwlWVV8IUzPhLmNZTmf3rDRd8lvOA4fqJE9PT28MF93P2BgVK2E2p937s+I4ddBrioFxTPU9Yz9dWMEh/0Tvl/FKo8Hnqf76ePJgsejt9/f3kyJLB4lZhtrrcSkaIJzjPtY0fCRal50yTPWkZL3fI6tVXvS8PL1SR2cm/ZOD2yklv9Ytt+78F1/YRivIN0HiyK4M+bDpBSkArhcFuoek8Uj9k2fh/6frKL75puwQfB5+RsTjftocD8WbkrXoAWxv4xKNPvW5k06xqdz07H3xMgs7y3TF1pE2uPHxN/eiugC4excUr59Kim+6pSKjNe/XJWOJc1Bzl2uLCpPX0VChYuQbebs3NMiDSccsOk9Lv3UxwfRiSTeE09i6+Pwk+sJn5XFdkiAY27q/v5/SNu12u+l7z4jTtYeKkesiHU1xUpnE47juNev+tM+81/MaMa8hQ4YMGbI6Wa3n5WxBwjC0UGnFdRBNh6s7BOHxlQR5ydNSvbSUVGbV3Dpyr0H9019i3P46kXQKnnEywgTyzrqDhN3YOMuL9zBJJz+zPU4bl/jrGTxOljzeLpblUActZof1lmC2JA5BLnleyVtMnhfhq84ydus3Qbju1XbwoItfR4hI3g3fbbfb7WYxSPe8UrJYrkt5EFwLzA4j4RhWzRl59PA6j0zv4KOHlp6V930ptu3ehspyJueSh6N6vI60zvf7/ey1I77GNIaMeT88PEz3eIzW199SXFD1dOvi9TVT/zVO9KL5rBw+/k/IapUXcfoOY/bF7DBMOmPBheCbq8OG/I3xnqqaLfRjsN1usvgpdofjOknQoNrCzZv1S6iYtUlw8nODJpTkGbN1v8M96RmwPepzImN0i0//p1RaFN8cWU8qryon4k0QL4PznHtMN+Z99Xodrky/EZKhkle9lDQGrF9rgs9b5Jrr6+v68OFDVX3LuML+pHNabKeTKl5eXqZyOHc439gfjbPK53EOPhO+HcHHwyHRtJ6pOJJwbDxWmOrslKArc4fXGcsi+cJjyf6uvaq3UL3EDfAOpvYMPW74cy4nEo+UN2FQzpMU3nivEhuw4ZAhQ4YMWZ2s1vNKh46r3p6Ip7gVm6BCf5Ny53lRaAnrf0InnSXGcnmivSMrOOSlfmg8kgfh1FT3PDyArPsdnnFmUdX8fVrdm5z1DjONKSEmla/66XktBdA7SvMSYYNeNj3E5J3rb8dc7Dw0/94JCwm+8vK8ngTtLDG5fFySJPYZYUORNOh5ydqvqtmbtb0N/J6eMGEj1cv3zKXxTdAmUQyW7XOazzsx5Yjc+JioDO8DxeHi1F71M3nGZA5XVQsHkvzlRKYubECvMEnyvLyNnvSB+1l3mNo9eGbP6ZIevEdWq7wcAuDgdos4wWFV85dEenocsoA8XsRJpIko1z7BED6hOJH5Akkvm8q4i/8sxYK8vqSwCM841MKx5qbOdhI+85P/fDeQKy9CRBLFvJbYj963JQOhG5tDcJEkxewOsf3cgOBm6Ullk/Jz5eWQdepv6mMX33Dlpd+ZTPfq6qpubm6q6q3CcqZrYqCy3vPz8xlzNsVlVL+nSUpQrMPmGlNBiynGqjJ0PedrF/NyhUfxNZGgQxqLjBGrLMa5tEbu7+8n2JD7wpLhRCV9bNzT+8IxcwXm8c6q+R6cDDPGnLnnJIX7IzJgwyFDhgwZsjpZtedFSZ6XWwFuYSq4uN1uJ2uTByG9Dlp+PJTrecU6CM0hCAZBSYRgf5YOQ7KPHZOSbr5bq8nD0ud0AJT3qR7WnzJ3KHmwLMntdhvHgAe1Nc6JkNMFnN0bcXJOEnleXQC5gw3dSk+Hpl06IkUH8XTWvr7rvE/P5JFgxyWGIufEdrudkTeYLYNZafxQujMz2c9D7fExSnkHfQzo9TujkZDV8/NzDAnIy/ge1ukSu9D7xr3JyVfyxPTqoao5c5DzWGs0eT4cA8J8/vfk5FvSYHqfqT/0TNN+pDZUfVt/HYrgHhrL/1FZrfJyOI+f+XC4cfvCJmxIheWbHiefFvB+v5+9/4aHh12BJqZc1Xxy+PdpYR/DiFLfdI+UtspyhZMUVoIQ0kR2OIApfqiYHx8fZ3h+SvHD+108JsVn7fdwkTIumGA+bVpkAyY2WVJeCT72DdBhJWcs8prUV0oXJ3PjolNs3u+l+tjOlDaKGReq5ofneX86upDiiz42nqGeZSQDwdfsly9fpvnG/YDrl9lDOuNMsgTrsl3+u1/Htmj/kMLyVG8cG0/XReMijY332eE/KmCJz1vfq5Jh7UqSijGNnz538Ob3yoANhwwZMmTI6mS1nlfVnH2V4AT9z8+0lpY8DZbbvXaAnhcJG/Sk+OZhh+ncsklQg/d3yVpJcB7740FlJ2wkmE3tSgQSjrt7TqrfD6dut9vJSiezzWEL93w6K7EbD09H01mL9OT43GghpvNKEmdzJu9G9ydviRYz2+nsSfe2EonBr/P5lSzeJeiLY8B0TMnT4ZgmSNQ9ZJ+X6WyY+pk8OU8S4GmnuIa5NvmKFs09oQ7sUwc5d944vXvOEfbz7OxsduCYcDrTO5GFyLEWZMgQR0pd5Qmiu/mfCCDqO/ctirMnKV1uw+65vVdWrbwSHb1zSxMEkTZHbkB6UJzw2nipvMi8EpSWKOCuvNgW9sdx5dTnpMi6eABhmKWx7Or0XGtp8/NYlMeEOmZaYksJfkhZGzrjxJUGY4i832FPbnRpQ6rKeRITm8xjij42ic3J6zlOGpM0vgkulbhiZ98Say31LfWBEKIzUI+BJzkPVZ5nZ/B+JkmQsyse9ttZkHxWeoYKG6R9gxA8Jc1B3p/o+dxLvD2J7q/+eg5Hfw7st3/2cXAWYTKONCc4vilk4RAwDX1XXpz7ybj6EVm18kqeV9V806Dl6BZaij+xLG0mfBtsUlhet7+4zReD2kMs263uQyQA/56Yu3sxXEi8zz0qHwuJK59Dm73+7ySdr+OiTGWl+MjSJudKYYkAk+ITHq/xslleik8mLzJtaF1An/dyHDRuSUE4ZZvt8XK8LUuenK7jc3NvtHve7i1SAfOFnD5eEo6Pe0Zdho+qOYmGnrFiXokok+KV9Fg9fkXp4mQeb6Li8SMTLEO/OYGsy/DO594pXLWbzyCN7dLzpCSPLqXs4/PxOfAeGTGvIUOGDBmyOlmt58VMCS7OcKr6lnD0UMJOWiOishI2JF3YXWO1i1ade1Ruvepe95ySp+CwHK3kzopJrDn2jzTiDsZxSVa/W8WqQ/1MHiefBy1ML4/ve+piOv6djw2tb2dLcnwTFOVQtLMKD7GmdD+9Op9z+svn6Pe4R8J72WePm/nnLt6b+sO15Bb/EuSk7z3W0VGllxAGejtdvI7QOFmwZNf5PQwVdIxD9ttjiA5BpvFwqNSPpnRQcrdGlmJGfAbdQe8O2nOP7BgmINeV5l13ALmD498jq1Zevvnr+yXlldx23xSY/ohxLgZ8u4CkJjs3jYQxJ3IDNyS+TC5trklS3I6Lh+ladB2p/6keEUs4VjzTwzYn2EMLlrg9Ex93+D3bycSeHEPfiDgPjlFeWkgp3uIxlTTO/tklKVy/r7vf4w5uuKT+LJW3FM9bgoiOiU/4vExj6OvCJZGVUlw3QbTeXlembhB4m/W3a0OK93j8jPf4+mfdXFeuzHhtgtOTYXwo/uzPd2m+OB3+kAJLIYi0Tn0/IVz8Hhmw4ZAhQ4YMWZ2s1vOiNe6WcYLm3AMgzZRWI62H5+fnNzT4BMnQukmUc0JOnddAC4/WEeFJ0uvdmu88PN2nsviXWUI8J6Tu3263szekbjab2RtbE6OPdcprc+JM6kMHHS2RQRIM5OV5fkiOkVvg6TOZeonskUga6f9O0jwSO4+eAj3r9IoJ3XcMhHdMe7r2p+fUeV6+Fg+NCZGGRMRKXkdio9KbSvPN3w3mYyXxspM378/fPaIEP2ts+H9KOuzPs/PgHU4nBOhkDvfEXBI0ntAJjkc6oJ8QMCIs7/W8Vqu8PD6RHqL+198lRg2hNCkrZc5IUKE/RD7cJegmLV4tBCovfpY4m80XMxc9y6byq/qmvPxFd5xsTM7KF8wx9Q4VZsds03Pq4nlUpB4D6aCxLh7XxS5dsVIhOLTFso6BBP2+pWfPa9L9KT7C7whTLbE/k4HjzDS2xduzZCCpfo6vw8pdnMzjiN6GNFY+l7iR836H8VMfZBDomk55sd3qr+7nGHRtPmYP8v3I5Rgm3svL/MgE42wOhSaF0xkA/r+3O+1hgmc7Jcc2HgNFHyMDNhwyZMiQIauT1XpeS5aOxKE4pvN3piJJGvIuHh4e6vHxMbrzHeFD9R4KpLqXwDM+h6w6r0v3JG+NQhitap5QlYSL09PTGbyqZKYSjhXhiSQeuHbPVmPIcz+COdJZt9PT0+n75BnQ+ySxJHkJCoaz3ylQT0+Y7WD/dE9iAS7BZe7tOeSm+zgn3Kvk/T5XunZ6m48J9jvJhGuBkjwA9wr9etbPZ+VjRU/OSSxqW8f8685VJa/wEITovzn64vNedXbzoMtS4nPKPSKuBcoSMtCRmngN7+s8eO8f29N5lR3R5kdktcqLg+14K2NhZNPRZfbXWWvQPWULM8R3GQ8IW/oE0+9Vb2EPn0QpnrbksvtESBPR2T8OOaU6yYLabDYzJpTDbB0E4Iuf4y7jgOXSsFhSiITSSKN2thPjeX4EQOXrPW6MzzFTelIQqrOD4MjYlOj6DjJKn9PidyXO8llup3A6pt4xMJ1fQ9iNbwSgeB9cqXTiyob/H1IQ6tuhOKSz+/hbB/H6fPQxSfd3EKLWYkrw3BlO+j49+yWl0KUto6RnxbYeMmi0t6Zn4jHaBP3+iAzYcMiQIUOGrE5W63lRmzvTLlm/ul6QFeEiWtyefNdz+Uk6j0iQTrL83OImlOakhOSmu6XiUIMTNVRO5+E5nOZ1857ukG/yED2JKz1Tvpbi4eFhKuv5+Xm6J1lkhFEoDEz7K2voeaVAss6c0ePj+TqOJedXB0V1Vrp7XrRkKckD6uDBDj7jtXxurD/B0smj6aC0s7Ozuri4mI1JguPpDQjp4NpcgsP5ffIAOvjc54cjMrqfnr48ws4rcSaj5BiCzzHoiF/nsDDHkPc6SYprlAf+O1ax9yF5X0viCAS9Qs4xrU3VfyjUcKysVnkR8nLXmq4rYaSnp6eYGZsQHmMynnWCE6LqLQRASRPW4USHuNIr0rlYkoJKDEO1ye9P13UbCONjrtw1Pr55kb0ltqJgR27yfKcRcyum5J363w9YS6jU/AWhZIlys/dyyaZMyjzFOpYykKhsisdIO4Okg4W7+l0RdkxV3pPq43xJRpQrLx6fqKpZzsB0iN1jaw6zHVLmx0qC1vmZ843vceO1vqEnKNfH6RhxA7Vr91JszBMNp/DEZrOZ5r7WLrMEpSM1bhh4/DjtM0vt5Nyl8chwzY88X8pqlZfHiNLgOv3bcXpmqNZApsSt3bmYJUvpEIGBnqPo+OzDoZiH/k/kjKVJQUXLz77gSafnhvj4+DjzTuhtSQlst9tZGi5//QstSY4hN0f3ANKCSwrG3+CssvncfQG6QpMk4yiNYSc+9w4RAlyOIWb4G6jd4mVZyeJWfDMhAp3Hrft5Xkdt8HnckYe45uiRuXDcGIc55Kkl6579oZft/WadXMvdcQPem4SbeCIRqTzOw7TBs5yqt29oUJv3+/2MRNO9FaIzgtwY59zxdeCKPe3Jjv4cInUcKyPmNWTIkCFDVier9ry6z36wV3Jy8u2QoifpTdk29EI2WqkSWvkOO/qrLRye0HeEuNwikrgV5FZ1Z5kn8fI7uMa9QvaBcBzHRMy9qq8Hm/miP8YT3JugJUpowWEqejqkaHufCHfSQ6S311n5S1AJrUifbykO4jBQF7v0+/l9xxDsLGbN1VSej6fHzDh+ZFympNRiYibPabPZxDYLQiTyoDZ4TJLCehKc6f877Z3rh/dzjitexHqSl9whIt5Xb1/nefF6MnzVJn3PNnsohJ5xggA1d1PCXD8U75I86CWoNMXc2f+l639EVqu8OuzV4zZd/IgkAm6IrqB8QqZNkG6x4ICUecI3USoGn8gdjENxfJ/ikFGSDl55eXl5k1XEYUTdT+iVsKEUmSBDltPFRDwwntrGuOXr6+ubTaZLp5RgYS3spFg9dkTl2S1GhwOXYhg+f1kGpQvwd/V7EJ11cHPzM4p8PpqXu92udrtdVVXd39/X/f19Vb01tl5fX2frhnAix8ohxGSsuRxLInD4qtsPaDjpWj3rDjbzoxYu6RkdMgo195OS9DHzPnAtJsXsR3e45ljnEgzckcHcgPB9w8MnPka+zt8jAzYcMmTIkCGrk9V6Xi5OWeZf/1w1t4z9rca00p18kWA6J4/QaqEF75CMswsTjJLaXvWWZbYEnSa2FMfBf/vy5cuMWst20+ImRNTBUu55sa0dtJCCw3xWHXx2cnIyO6CeoBt/VhwrWrVLGU98/BLNfImU4WV1Xt0SaaUrywko/N7ZZOony97v95OHdXd3V58+faqqqs+fP09emGBDzivOo/RmY7V1CbJV29wTTfPWIVVa897XVL/PFXoNqV2SlN0lzY00n92D8fFI854wof9PT65qzppkWZ5JJxGUEpGL3jjXTBd2cIKPRIxHfX+IdHOsrFZ5eRZ0SbdRuPvNRcbPnujSzyUk1oxDg2wbN0GHzHg/N65jWDhL1/gm18EZiVXkfVO70+R1aC7BbFosCcNXrEHldhBZx6Djc7u4uJjFufjuti5WoefJdic2WDJ8yLJMrFWvz+NpKY7ic5eKqIOfGRNSuzivVSehJBonNKaqvp69u7u7q6qqT58+Tcrr7u5uOv+otUQDJcWMWb4USppvDquyP8fEfx3K8vBAmmMOn3mIwdvvspTyi33wdnaw2svLyxuDkXWxLFeAXp+3n/Oa9zh87IqsqycdadGekZRXt2cMtuGQIUOGDPnTyWo9r+fn58jycukOatLS6F7VIEkW7xI06PAT3W9aJsmiV9ucvCBJB129nWqHlysrvbPSklWs/rA99AZoSZKh6NCVvxrD28yy5Lmmg+d8bn62jLks+Qba5+fnRRgpWZgdfCdrNb3p1g9jcywdLjmEGuiaY56VE0O6/H+EBjVOgnRF0qDn9fnz58nz4vk+b5ejFfRoNE6JrJH6lshXjhZ4/+nFiKmaID2Hf/msHWpL93SkCj5PL5u/JUSBcz4dJE4EHLabvyWykpOS3PtkW9wTTXOMc5zPT/thOk9Gr5/z8E8LG/IgXqKYVn0dUE9b08ETlMSsSULl5YqMbrortqrDhxp1nWcC6SjFHXNP96V7OkZfggATc84nrza3s7OzCWIiNFQ1h/NoNLDNegkoF0KCqHjc4eLiYqa89BJN/SZJsTDfiHysuTnrcHtqA1OOse+epYSby1IsjWU440ziSiHBlbqOjDP+zo3TGYbpRawaky7mRTmWWbYUB+nWYTIGCL9VzV/g6uX7/O0MnEPPyNvQKbL0G/caQrjHxKwdQu/q8/mdKPVudHk8K8WzOaeluFIaKg8jeIz/R2XAhkOGDBkyZHWyWs/L38fF11pIvicg2AXDO8vcpQvE8h5noHXlOqSSyAESz3XGvugzrV8vu4NJnaChNiiZbdX8Veqeu5DWHSGzi4uLur6+rqqqy8vLWb5I1fn4+FiPj4/Tq2loSfMM2Xa7nQ5Db7fb+uOPP2YQHj1zeoB+Fit5W2ms9T3HwJMQJ7jKLczOMl8ihgjeUztTAF7kmAQBVWlYAAAcVElEQVQVkixEBEBetjwsjX3Vch48QqdOWkmkCN3jRB79lrweh/k6byB5Nokc48/avb1DXqKvm0TKYNtd/JpDhAmvN8GGrK9byw49co5zb/GxT6QRh2Q5jzjHuGYdaehg1O+V1SqvJXdekphJPyIpFnWozk5xJjqrY+6+8RGiSrBUagOVj+6RElmCaLydWlRqAxUGITOnaBMyYzs3m03d3NxUVdXt7e2kyM7OzqaJr7iLlII2U9WvezyTh//lhprim4JAeDhTbWUORI65ktL6IV/1mRshF7bHJyTHQjyvr6+xTkIyUg5JefnRDG7uDvek+KYbU660+UaAFHs9Pz+fwdG+WSdY1DdQXufwrz4zTqoyOnjTFWbaI5ZixN2z62KnzmjkmmHslP1g+2TAOJOP1yRxIygZaFwXh/Y49pPGkcf+KR5PO9TmY2S1yqubVB7v8fhV5yGljaWj5vr/yUJM3lYXZNZmkjynk5OT2YaclJ//75+5uaX7XHyTOD8/n7ydy8vL6bMvuBRIVv8kZ2dnk8K5vb2tn376qapq9oqN3W43S5y82+2m3y4vLyfld3V1NbVFfeO4pzhMSo2UPCw+U27Ibv078aZ7Bl17uAFQqWiTcTIE/+p+KqVOESRSkb5nmV2aIvcEpMSr5vPAx4rKi28OoDjlujN8/IwfN2TG85Y23xTvESKR7vPx55r159gpr+77k5OTadwuLy+nMfCYF4WGhschk5L2v5zv/pn9VHuXRPFS75uPVeexvld5jZjXkCFDhgxZnazW8yJls2OteOymKseFquaWSfJadC+tQlrMS4cZeT/b1rnYCRvX386172DU5KEmi8ota9WjGNPV1VVVVd3c3Eyfya5zttRSDEBjcnl5WR8+fKiqmspUnfQ6Li4upvsvLi4mz+vm5mbyvAirpTGQOIuQHp7KUd+SB+/wlB9IT3CR6kywn8cJaK12Hg2Fnpcgw87D62DpDqr0V2l0XqF/5hrj9xxnh8WWmGmdJ7BkubOthH/5eSnWyOesPnhcydeze7P6vvPGT09PJ9idXpjDpdxzmBTb60qsRO0ZnFcJyaHIo0r98et8D0tzz9fcoX37WFmt8uJi8ES2Habq+PMSyUL3MzhON7mjhVb1AWg+LF8UhJ+Ocac9Tpba7WU5pMTJx7IIJ2w2m7q6uqrb29uqqvrw4cMUc+K7pBj097cYOzbONmvBXl1dzYLHbLsrLym6q6ur2VEI71sHY3rMK8V12GYfJ++P+t29X0kxISoibkg6Y0UY6PT0dEZO8fd20RjjnFS/VEYXX3Moh211WJVjonKcZp2IFH4NYT9vTwf1+7OjpPXrGz/7ynJIKvLynEjRbd4unZJKa7RqHrcjqcj7o/o5z/Qb9wyW5f1i31JGGLY/ndlaiq+zLR1U382J98iADYcMGTJkyOpktZ4XWTPOdJO8vLzMvJsOnvNAOe/3gDqtkfRqD1lAh1iHrP97hK68B0kTJZgii7+DaCQcW3k6ZAjqM8kaz8/Pi5kzCI3J0+C4EUJROwldMvBPtqNEZXUEhfQc5HGkYxZpvqhcelv7/X5GLaeXTu9VVH7Vo7Kfnp6m+x8fH6fxEMGB49jlOfSsBjwESq8ywWQag0Qw6rx0rauOxce1xGuccEEvtfOuOvTEobmU2UFtTfcT3vTfOtjerzlm/R6C8xOBhff4EQfudU5+SLR7L88hvCXPi+hC2idSmxMDtNuP/rRsQz4gQh0p1lCV09NwMSb66cvLy4xi7El2U8yKm4TX64sqsZCSEGLid8406lg8HidLyYGJ53NSX1xcvIl5CUK8uLiY2k0sPm2ofPEmN3595jidn5/X1dXVrA3cdLh4qSyen59nTCyPBUl8o+Y86owNf1ZMhaXzaIRLq2oWw+BfPgOeZ9vv99M1m81mxmijcu/mjsa6y8Iicbjp9PR0aisVDjd4Pz/mTLWk8NwI4hwlbO7ZP1i/Q1EdvJgSwnof/GxoB6kurUWOu5d1DIvOlU0aNxqVDv3+iNCodOWXKOxVy2cRO94ApRuPY5X+MTJgwyFDhgwZsjpZredF6bwOQS+6xq2rFBTl937+qoPpktACdIuPbWA9ibBBL4aSYK0EJ7Ae76sTDHi/vxVZ3tbt7e3EEOT7vHjImBCiAt4MOgsme3h4mHkdfm4oETacmUYPyL0YWuPpHIssz8SEctjFLXvCfvQqUw5NWdgJ6nt4eJi9oVjlinEpz9QPqB/jqfv8oAeS2GdVc2KIEznc0+8C/2yne2ck2JCdSoZj52nx2XvCa45LB33q9zQ2x0Bejqrw2s77pKdC0fW8h9dxvml+aY9IbfD9zOd7QlU4Dl6mE0DoMbONToo6BD+zrvd6YKtWXo6nS6iwfACTwmLiV4d2XHkldpBPFt7j8OLSxEtwo09e9uNY2NA3zQSDchPfbrcTTPjhw4f66aefZspLbENlTVAdimV5MmHCIFReu91u2rjJHBSkwgwOjGWp/U9PT5Oyuru7q/v7+6nsLrkpF2+CDf16fx7+HixByz6eLENt5nxhOiZmE+e9/qwOHfA9Ozt7o6jTfOfYuIJQObrX4UXd47Ah5yWVDzcqGiGc15vNZsakc6ZqYhJyTqUYXnreXTt97TFW3okrhC6+yHF3RexKhAYe4W9nNXexJEKNXcy9gwN9b2IohkqKz+fk5GS2/tMc+f8pAzYcMmTIkCGrk9V6XtTsnYbvLLWqtxYIGVqeRsctpqq3ZykY+CSM4Yf93EpUWzpojwdX03kTeoydxe0MyURkIIvv5uamfv7556qq+uWXX+ovf/nL9P+HDx+ms0cnJyczyIwwEr0oh3vkHX3+/HmCIC8vLyeoUimkkqdBi/3h4aE+f/48lcVX1ROCY3t43ko5CtO5JodwaFVzTN1KpsXLZ+gBeXmp9Lx49sghIveCJCRbqA8Sh7mWvJbuPBc/u0f/vdAa5eXlZfa+NT0ffhbcTBRDY+2sRom8/s4DOIb84PtJ10967J7IOUG0/jy5nt0bT7kmvb9kb3bEMP2ve3wPXEquoHs4v4gAECZ3T8/hSUoHJ36vrFZ5eXwisQ25+ATdEMpJsAMVTGL0dXg+MWFSqVnGEm2WbrtPKm4wXWzBMxukA7aCtRJz7+rqasoz+Ouvv9Zf//rXqqr629/+Vr/++uv0G+E9QmZc2Hwegha5mKW87u/v6+PHj1WV3/OVjBMqr8fHx0lZ3d3d1W63m8GGHBuV7YmFXZmpLj4nwsrehufn5xnsl1hivqH7wWQy7QhF+fNOhg/7JpiO88g3FxetkWTQuPLixsSNmjBxihvpHs4RLy9l4tBaIsQpobHm66Bj8aW+s61JSfkxAJbnMVrOkTTuKU5Noy4ZNMww4vC27yfHsCT5TNP+xn6m9yVyLQjeZz/5LJIhWFWzveE9slrlxbQ+HlBMAX1ZcfqtO9HOjcbjSlwUXLD+EkJaJ7TQuLmpfP0lqcGt3M765kbDWIdvRm65UUnIi7q9vZ0U1j/+8Y/6+9//XlVVf//73+vnn39+kwDXx9qJLL7guUgVp/LM5HyePtYp5uWKg5ag6tb9Ulik/Suxr35z5cWxpaFCpfD09DTbdCR+5s3nR8rOwrmSNvtEWiG5Rtfx+dDi9k1Q16sd/h3HmqLNmi/h5IbUeTquIKh0XdGpfpKuPJbk7WV9h7y/tOknw9Dj5slg1tztUBCuP1dq+vv8/Dw778c4N+vhuiBKdMiLSUgM9wY3yn09sk6Oh8eAEwr2/0t5jZjXkCFDhgxZnazW83KrXeIWFy0ch1R4TWJfLVlvjDX4+52I57OdHm9yiyyxktwqpfhvqd3ss6xFtYcHjv/yl7/U3/72t6qq+uc//zl5XvK6SGWm10AviFCn59fz56CxpBXWxaLkGbmkcUkWvA5aV9UsW8jNzU1dX1/P8gcSflY/yaR0L5tzp8tYov7Ro+kOh3uWBN5DiFaSmHVkdnJeJzaqvJnkbfk7wNiXzWYTXwr6+jpPxkuYXu1QvVxLRDESFK2y0zxyr7GDSI+BYdNnh3L1ucshqfbpLyFzH08yDDXH9vt99Hj98Dm9P7++YxsuSccmdQ9JbXbomOLPIcWf/7Swobu1EofcfLEcguOcmuvlpQ2TikwTXA+YyVUJa3EDcyJFov7qc4JNXBw6I3zGTO4///xz/frrr1X1FR78xz/+MX3+y1/+UlU1ZbpIVOb9fj8tOAaWl7B37yfbpjHUSy6Z9YHPmAqPb3X2uAOVoTbX6+vrSXl9+PChPnz4EGHDqpqRA9Tmu7u7Gbmki/cw1sgzcPqNG6LEY6oeU6QC4Lg5rMTnwNhfEs19kksIxSbigAyglJKJhhshLynidBbR5wvh74580RluTvnm+vE63EhMhi3b05E/tFEnA8AVlh+b6Y7RdJ+X4nFL6ba6WHkioFBJJ+F4ONcg7Uv+HQkn75EBGw4ZMmTIkNXJaj0vh0skLy8vM4+MFGm3WiQMbJOQkKSjvUqcMksPgnAAYUJnVVG6E/HOFPLgK61XjY8yZcjb+utf/1r/8z//U1Vzksavv/46eSenp6eznH1kCz4+PsaktG5FcozYzpOTkxnzkNCeU+f1m8a4au7VinhBD9ET4+o6HbK+ubmZUf/peZ2cfMubyHd7iZ4viv5ut5u8T3pKbKeeBwkgKf8gIb8vX77MDi3zHkJWr6/fEgDLeu6IGenIhr4nCpCYlPS86AWqnnSo1+ck10UHsznD0f/vJEG33jZHXo6RpeuJIPhaTAfXHZ3oPJLus7MAyfzz+eXU+MTM9Dp41MW9L86d7tC1S/Iel57h98pqlZcPXKIOM5O3M4A6t9gnVQcF8Tc+eN2baPRk5xBa/PLlyyz5LGNBrrx8IXAikQHn7KGqrzDZ3/72twke/Oc//1n//Oc/q+qr8hLb8Pb2dnbuhvEsJqJ9eHiYNm4qL0+Ku0TT7rJlXF9fT6zAi4uLaJAk5SVl2EGSzB4iCDHFvLhBk+0oej6VNuE0fe/xP9800iKmQaQzY2wDNyqevXGWppepv52C8Hl0aINxej3PZlEBX1xcTOWyveoDpYsbeswoXecKgrCsMxwdppX4dV2/k4GplFZUGMlIdSF06VAwxc9Pcm+RODPU9ynWQ8Mn7WHas9ifxPb1fnl7+Ewoxxgjx8iADYcMGTJkyOpk1Z4XNTghRAbqCTcxeNoxj5aIEM4Q5LksZ4lROtaiu/y0vNIZi6q5hepsv0QwqKppDMQolLf1v//7v9Pnv/71r9NBZOagU9A+JdN9eHiIRA6+9sQt4cSo0xi5F6Z6rq6uJtiPnqg/a44bz2YlMkjVN5YcCRvOGtWzUt9ub2/rl19+mcaDiWTPz8+nQ9NMDOyWpgfPExSsOcXnTQucDFL2jZDRsfB3IjmobFrj3jaea0pnsV5fX2ceF6FYPwdHy94hKkJwCY6jx+riKEY645ZIWd05rdRmjpkkeYhL7ax6ewhZwvN02+12tmYkhMndU1LfJZzj/C5Biyxff5NHJaJQF1bhWHWe2/fKapWXY6/+IKrmWc+r5nCaT0Q+ZJ+IHfRCt9onZaLvezYFiVPYuwOgbLcWNRWGIDzfJBTj+eWXX+rXX3+dKPF///vfp/jXTz/9NKOkMwXT/f193d3dVdW3TBb6LW0sKZloYok5VOHxHipMKhje45kZ/OCof2ZGDV2flKnPJ7IVb29vZ3EuzrdPnz5V1dcYnpSvKOtLsJ3GrVvwGi//7OPO/vA6p1U7hZ3C8UgpjwiTSggT6zPh1lQeDUau5WMMtG4tqc+qxyFnrn9XPh1rNG3I/jy7PaPL5OOSmHtVc2q5DC/PalE1N8xdsfvY0IhKRxc65a3PXdYWN3D4HNmODk78Xhmw4ZAhQ4YMWZ2s2vNKcAstIHpe0v5uReg3pqRh0N6treTykkWk3+Q5OYOM1zl7LOXfo6dRNU/nQyvbSQD0LgQH6lyXznD9/PPPE6uQY/X09PT/2jvbnraVIAovFPICKe3//4+VkjY4NqXkfkDj+/gwEyj3w9VK55GqBkjWa3u9s3NmdjJn0x0Oh7bf7xceRXhEzELkSpibY2NVWnk32X6lWN2F9Kgr7mzPSkiDcd24+tZ6hpTfdO9ctYk1jrNer9tut1uU5ck8PN738I70e5niGJkUrdJNtfdGA+MaqM88UWbDxQo5k3WrPYZxzCwDjatp9bzi2HEcbU/PQT0v3TOVyXlxTzXTM7umQeYRcT7hveK4ruRgHVOXvOlAk84y7zfGrpbPau1tQg9VIR0T2T4x7b9mZmbno56r/q067yxb8TN0a7xaq9MvKQ0wHsHUUpX6KBvyterxWU06vo4BHhOvprlzgKo0lUlblAmyc6QkmdUM4xdJfvv2bf7X2muqOI1snNvj4+PCeLFau6bNZ5IOr4dKojo5ZtcjMv2ibW6Gji9pjPfRQN3d3S0kuDgmv0CTKfiZhJxNrpSFbm5u2na7nf+mFQMo50WfT6fTYkzohBJk4zhLj39vgy7PK6v0oqnyPNcq9sr3xMKCxWOzDct8lqLtTE7Tz3PDNK8VF4kq+/MYvFYcV1yIqrSmsl+1gfZSyncmL1aTvZLFwOP3KnNnMXCOFd0qc0murOajS6GTTJKMRX8V8yKXNkD/Dd0aL70AmQ7PARGTe6azcvDq6ypVlw9SZrw4+LMU/fV6vZjQqyK1Otkz5ZXnrd5nfJ7lkB4eHtput5t/3m6380TOhIlpmhZxLSYfRPvRhyy9mBNgGGJ6klUqsgbxs3je09NTGhvc7Xbt6upqPs7z8/P8vt1u175//z5fg4gBMvgdxwx4vvx9VClhnIv3LT43juP8RZsRL6RhzeIgGmvQCS3bG8Y2VH3gGFyv12+MXLxm3K61ZVktnhsXSnqNMq87gvjRfx2/fH6q/Y88hsapeJ2CLBGLky2fX61Ew1gdz6GKC12KjX0kmYR95XsYw+fiKI6ZGYhoL/rPxLRoR9urzi07n2y8qtHP4mva9kc84Y/imJcxxpju6NbzojWvVjZcFajXpanQXA2oTFdl0PDzVTUElcayYsJxTMp+lQvP1aoW86RUSe+k2pRLSbLyNMKLY+HV6Ps0Tel5ciUfRXGZ6s5zoTfA86REO03THGdjWyy4u1qt2na7na8B+3l3dzfH/R4eHmbPc7VaXVw5Ek1jpsQbr8/nfwv4/vr1a/bwVPplxpaim911patkK3tdbUc/M+8m82boVbKGI/tUSZcaF473PD09vVFF3pMN9Zx1a0V2PXROYNuM9WWbh7PYpaogWs2E589jZqhSUXnQl2Jzmimq8nz0mc+byt7vbR0I2Z4Sa+W1ZxmaAb2t4L2U/L+hW+PVWq4x68DX9M9Ky86C1DqBVHs2+BCFbJINUkovlCYyzZ1tMyWY0h6/jHEYhoVUwLiOxtIySTL6FO9jOaXz+Ty3x1hHJi/GddMqGOyPGuB4zQmViRkatGYZKcYGNWklzm2z2cwGi1Xk48GuAshcnPB+Vg/g79+/5+N8/fp1Nl7RT367QBa7ae1tbIH3VBMDWsuTIrLrphMy29W2s2SHSup9D72nge5h42s9l2qy43OphkzTyON/Jv6oFF5dKxZ/rmRcjiPtW3YNdUsOFxFqmKtFt74vi3nrfeNx9W86Jt97Ti8loJBKNvzsmAosGxpjjOmObj0vzVYKNAiqsgNXJe+lBGtafLXhUOWubPXY2rK+283NzZs08yzdmK8pS43j2I7H45wVGBltrb2uECuPRqW6bMUdmXtxzM1mk25GHoZhliQfHx9Lz4vJKXG+cQ5ZMkxIiPQ4Kdtl3821Wq0WCRhc4bEGIvtC6Sp+pucTn9eEnGxzZvQtKwAc/WSiAyXWbPXKhBU9jnp+2ZjkOcX7qtUv29C/Zd5NjJssWUClQcpsRFPds75HX7KKEPE5thdo4g0zYvkVPvQgeA3UC+K11ooh8ftLoYtsrsi8SM472WfO5/PCc+JY1CzRgOfF3+kxNXuTbV/aAK33NX5Wbzh7fUmm/wjdGi9KaK29rZ6cQeOl6cG8CSx1ozeONzl7yEM+yAY/P6sli/Qr6Nk2jXQYJa18oYYgpA5Wfj+dTm0YhlnqYzFgXo8vX74sshBZVZ3yD+XA29vbRVFaGi9WCeEkw6K2z8/Pi5JL8aDG+3T/UByTx9fqG1kBU33gK2OuMQwuNNToZ5mYYUxbe92SMAzDIoONaea8vzTgnBS5zYNo/zleOS4reSeMWta2GupsERfnwwmTkmS2DynaziYxjQvRUOvEHWRxy2yyVANcGTxd0DCmmY2VmMRpmJj9rO3x/yrux+Pw+JwbqvONPhD2IZMddQFx6VyzOLXGQSmjZuEb7dNnsGxojDGmO7r1vCi9qBdW7V3QIGsWMORqJLyZbANmJTXGqlQlsGg7PjNN0+x5nU6nxSpbazBmHkAka0T9vHEcF6uo8K6Ox+NcHWO/3y/2KL28vKQVNvQrTapzpedDL4peExMV4hy4CTVkHHqE0zQtMpkog6qnQs9tmqZZxqQXRi+XsiE9Xb3WKpuw2gdX8JnMHG2H57XdbueN4tEHSoiUi6tsOHpHuleGY4Wbo9lP9ep0pZ49CyppxmvuU4s+0PPKXnMDd2v13iGFz6PK8VVGZtbn6Cf7oF5c5n1pMglfc/zo9eM9qWQ+9WKySiJZ/7KqOvy8Xlu9Hvxb5X1+hL85jiarxHn+F7o1XplkqPDB1hRn3aCX6c1xc7OSUJQwVFfWQcmBzIkqJsRxHBdt8EFXQ6jZhjFRcUJ5eVmmqvNLHc/n83zcYRhm47Verxd6Nc9ZB1/0h8VzKe1xwtGHdJqmWer8+fNnOxwO8+swXmEIGSukkVYZtLXXSiDM8KOR0uzJrIq8wj6rbJjJhK0tDQ63K2y320UFFDX0NObM5Mw20kbbWfwrZGVOkIEuGjgJa/yqioNoZQX24VLMSvui1/ej8lElhfEZ0UmU/VZDVh23mpQrSTaMYrZ1oDq+Lni0Wk1mVC6l1/P+ZkYp+1t2T+M4eu8yA6wye9UfzoGt5VmRn8GyoTHGmO7o1vPSFUAmITDY2tqyNJGuLDKpIVYP2apS9/6wX7qSzaAXRUksa4+rKN2zUm08ZT+DP3/+LDyf/X6/yNZT+SleawIJV43Rd3peumfm+vrf0jvjOM4ZkvS8jsfj7FGFl8P9ceF5DcMw9/9wOLQfP3601l73VdHzYjLJZrOZ5cT7+/uFd6a1EkkmyVRJO/F+Ft+Nv93e3rb7+/vZE9MVfyZPjuO4uKaVl6C/5z68yoNQb16zdVXaau1tPUSOf61pV41D9WLe87wuyVqaJKVJCJmXoxmO2fG0vUrWZRvVPBDvqRIkos34mRnCGZrkoe1U8mrlbVXzpmZ3XirawGNUagWVoOvr63R8fIar898KncYYY8z/jGVDY4wx3WHjZYwxpjtsvIwxxnSHjZcxxpjusPEyxhjTHTZexhhjusPGyxhjTHfYeBljjOkOGy9jjDHdYeNljDGmO2y8jDHGdIeNlzHGmO6w8TLGGNMdNl7GGGO6w8bLGGNMd9h4GWOM6Q4bL2OMMd1h42WMMaY7bLyMMcZ0h42XMcaY7rDxMsYY0x02XsYYY7rDxssYY0x32HgZY4zpDhsvY4wx3WHjZYwxpjtsvIwxxnSHjZcxxpjusPEyxhjTHTZexhhjusPGyxhjTHfYeBljjOkOGy9jjDHd8Q8LFBsqtjsgVQAAAABJRU5ErkJggg==", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fL2), string(\"L2 deconvolution, SNR = \", string(round(snr(f0, fL2), 2)), \"dB\") )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Deconvolution by Sobolev Regularization." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "L2 regularization did not perform any denoising. To remove some noise, we\n", "can penalize high frequencies using Sobolev regularization (quadratic\n", "grow).\n", "\n", "\n", "The Sobolev prior reads (note the conversion from spacial domain to\n", "Fourier domain)\n", " $$J(f) = \\sum_x \\|\\nabla f(x)\\|^2 = \\sum_{\\omega} S(\\omega) \\|\\hat f(\\omega)\\|^2 $$\n", "where $S(\\omega)=\\|\\omega\\|^2$.\n", "\n", "\n", "\n", "\n", "\n", "Since this prior can be written over the Fourier domain, one can compute\n", "the solution to the deblurring with Sobolev prior simply with the Fourier\n", "coefficients:\n", " $$\\hat f^\\star(\\omega) = \\frac{\\hat y(\\omega) \\hat h(\\omega)}{ \\|\\hat h(\\omega)\\|^2 + \\lambda S(\\omega) }$$\n", "\n", "\n", "\n", "\n", "Compute the Sobolev prior penalty |S|(rescale to [0,1])." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "S = (X.^2 + Y.^2) .* (2/n).^2;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Regularization parameter:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Lambda = 0.2;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform the inversion." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fSob = real(plan_ifft((yF .* hF ./ (abs(hF).^2 .+ Lambda.*S)))*((yF .* hF ./ (abs(hF).^2 .+ Lambda.*S))));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": 24, "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": [ "PyObject " ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fSob), string(\"Sobolev deconvolution, SNR = \", string( round(snr(f0, fSob), 2) ), \"dB\") )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 2:** Find the optimal solution fSob by testing several value of\n", "$\\lambda$." ] }, { "cell_type": "code", "execution_count": 25, "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": [ "256×256 Array{Float64,2}:\n", " 0.150678 0.165293 0.16828 0.163847 … 0.0606054 0.0918958 0.124577 \n", " 0.141715 0.15862 0.164072 0.161996 0.048801 0.0801691 0.113833 \n", " 0.135178 0.156389 0.167182 0.170493 0.0396928 0.0703111 0.104697 \n", " 0.131841 0.158721 0.176736 0.187271 0.0337691 0.0632204 0.098197 \n", " 0.132592 0.165503 0.19113 0.208968 0.0319163 0.0601446 0.0956466\n", " 0.137949 0.176264 0.208429 0.231973 … 0.0348513 0.0620222 0.0980008\n", " 0.147563 0.189962 0.226593 0.253178 0.0424224 0.0687954 0.105211 \n", " 0.159993 0.204816 0.243431 0.2701 0.0533392 0.079182 0.115992 \n", " 0.172862 0.218318 0.256436 0.280541 0.0655072 0.0910215 0.1281 \n", " 0.183325 0.227526 0.262844 0.282306 0.0767137 0.101937 0.138918 \n", " 0.188723 0.229713 0.260203 0.27358 … 0.0852597 0.109947 0.146087 \n", " 0.187277 0.223269 0.247407 0.253997 0.0902817 0.113822 0.147997 \n", " 0.178662 0.208513 0.225713 0.225775 0.0917427 0.113178 0.144107 \n", " ⋮ ⋱ ⋮ \n", " 0.224411 0.262077 0.288803 0.299183 0.12456 0.148196 0.183681 \n", " 0.213493 0.252996 0.283069 0.298515 … 0.113236 0.13648 0.172017 \n", " 0.205371 0.245261 0.277179 0.296283 0.106988 0.129569 0.164362 \n", " 0.202524 0.241302 0.273265 0.294065 0.107569 0.129523 0.163041 \n", " 0.204346 0.24076 0.271162 0.29182 0.113936 0.135352 0.167224 \n", " 0.207777 0.240969 0.268646 0.287795 0.122499 0.143489 0.173529 \n", " 0.209131 0.238662 0.262845 0.279527 … 0.128586 0.149473 0.177854 \n", " 0.205972 0.231728 0.251857 0.26525 0.12848 0.149958 0.177322 \n", " 0.19798 0.220071 0.235685 0.244959 0.120958 0.143978 0.171303 \n", " 0.186585 0.205318 0.216198 0.220728 0.107499 0.132876 0.16112 \n", " 0.173868 0.18988 0.196416 0.19628 0.0911615 0.119146 0.148897 \n", " 0.161566 0.176008 0.179566 0.176026 … 0.0749284 0.105056 0.136403 " ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"NtSolutions/inverse_2_deconvolution_variational/exo2.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display optimal result." ] }, { "cell_type": "code", "execution_count": 26, "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": [ "PyObject " ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fSob), string(\"Sobolev deconvolution, SNR = \", string( round(snr(f0, fSob), 2) ), \"dB\") )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Deconvolution by Total Variation Regularization" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Sobolev regularization perform a denoising but also tends to blur the\n", "edges, thus producing a poor results on cartoon images.\n", "\n", "\n", "The TV prior is able to better reconstruct sharp edges. It reads:\n", " $$J(f) = \\sum_x \\| \\nabla f(x)\\|$$\n", "\n", "\n", "\n", "With respect to the Sobolev energy, it simply corresponding to measuring\n", "the L1 norm instead of the L2 norm, thus dropping the square in the\n", "functional.\n", "\n", "\n", "Unfortunately, the TV functional $J(f)$ is not a smooth function of the image\n", "$f$. It thus requires the use of advanced convex optimization method to\n", "be minimized for regularization.\n", "\n", "\n", "An alternative is to replace the absolute value by a smooth absolute value.\n", "The smoothed TV norm reads:\n", " $$J(f) = \\sum_x \\sqrt{\\|\\nabla f(x)\\|^2+\\varepsilon^2}$$\n", "\n", "\n", "\n", "Regularization parameter for the TV norm:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "epsilon = 0.4*1e-2;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "When $\\epsilon$ gets close to zero, the smoothed energy becomes closer to\n", "the original total variation, but the optimization becomes more\n", "difficult. When |epsilon| becomes large, the smoothed energy becomes\n", "closer to the Sobolev energy, thus blurring the edges.\n", "\n", "\n", "Unfortunately, this prior is non-quadratic, and cannot be expressed over\n", "the Fourier domain. One thus need to use an iterative scheme such as a\n", "gradient descent to approximate the solution.\n", "\n", "\n", "An iteration of the gradient descent reads:\n", " $$f^{(k+1)} = f^{(k)} - \\tau \\left( h \\star (h \\star f^{(k)} - y) + \\lambda \\text{Grad} J(f^{(k)}) \\right)$$\n", "\n", "\n", "\n", "Regularization parameter." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Lambda = 0.06;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The value of $\\tau$, the step size, should be smaller than twice the\n", "Lipschitz constant of the Gradient of the functional to be minimized,\n", "hence:\n", "$$ \\tau< \\frac{2}{1 + \\lambda 8/\\varepsilon }.$$" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "tau = 1.9 / (1 + Lambda * 8 / epsilon);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialization." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "fTV = y;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of iteration (quite a large number is required)." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "niter = 300;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We first check that the discretized grad and -div are adjoint one of each other." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Should be 0: 6.394884621840902e-14" ] } ], "source": [ "a = rand(n,n)\n", "b = rand(n, n, 2)\n", "dotp = (x, y) -> sum(x[:].*y[:])\n", "print(string(\"Should be 0: \", string(dotp(grad(a),b) + dotp(a, NtToolBox.div(b)))) ) #We use NtToolBox.div instead of div because otherwise there will be a conflict with the function div of package Base." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The gradient of the smoothed TV energy is:\n", " $$\\text{Grad} J(f) = -\\text{div}\\left( \\frac{\\nabla f}{ \\sqrt{\\|\\nabla f\\|^2+\\varepsilon^2} } \\right)$$\n", "\n", "\n", "\n", "Compute the gradient of the smoothed TV functional." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "repeat3 = x -> cat(3, x, x)\n", "Gr = grad(fTV)\n", "d = sqrt(epsilon^2 .+ sum(Gr.^2, 3))[:, :]\n", "G = -NtToolBox.div(Gr ./ repeat3(d) ); #We use NtToolBox.div instead of div because otherwise there will be a conflict with the function div of package Base." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the TV norm, usefull to keep track of its decay through\n", "iterations." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Smoothed TV norm of the image: 2493.06" ] } ], "source": [ "tv = sum(d)\n", "print(string(\"Smoothed TV norm of the image: \", string(round(tv,2))) )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Perform a step of gradient descent for the inversion." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "e = Phi(fTV, h) - y\n", "fTV = fTV - tau*(Phi(e, h) + Lambda*G);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "**Exercise 3:** Perform the deblurring by a gradient descent.\n", "Keep track of the function being minimized." ] }, { "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" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"NtSolutions/inverse_2_deconvolution_variational/exo3.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result." ] }, { "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": [ "imageplot(clamP(fTV))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Exercise 4" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Explore the different values of |lambda| to find the optimal solution.\n", "Display the SNR as a function of |lambda|." ] }, { "cell_type": "code", "execution_count": 38, "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": [ "256×256 Array{Float64,2}:\n", " 0.161024 0.16819 0.172161 0.175061 … 0.0520367 0.0730027 0.123809 \n", " 0.158083 0.16653 0.17101 0.174265 0.0414933 0.0540402 0.107165 \n", " 0.156025 0.16623 0.171542 0.175486 0.0364862 0.0427696 0.0902067\n", " 0.155171 0.167463 0.174083 0.179402 0.034604 0.0388925 0.0766326\n", " 0.15604 0.170793 0.180091 0.197414 0.0344453 0.0389783 0.0706717\n", " 0.159203 0.177776 0.208928 0.235932 … 0.0357925 0.0422343 0.0753079\n", " 0.165177 0.203996 0.244026 0.247117 0.0392051 0.0501487 0.0891905\n", " 0.17847 0.23811 0.248462 0.251263 0.0467249 0.0639976 0.106346 \n", " 0.196628 0.243452 0.250716 0.253147 0.0606082 0.0790638 0.122873 \n", " 0.206067 0.244117 0.251273 0.253445 0.0750607 0.0907164 0.136869 \n", " 0.20617 0.241643 0.250229 0.252257 … 0.0848945 0.0983425 0.144473 \n", " 0.197663 0.234566 0.247066 0.249208 0.0908091 0.102323 0.14384 \n", " 0.179577 0.217204 0.238883 0.242565 0.0940729 0.103369 0.13591 \n", " ⋮ ⋱ ⋮ \n", " 0.238312 0.27072 0.275918 0.27797 0.137637 0.142806 0.165622 \n", " 0.228943 0.271395 0.277396 0.279813 … 0.132908 0.13662 0.15091 \n", " 0.220064 0.270892 0.27798 0.280711 0.129741 0.133034 0.142414 \n", " 0.216461 0.269294 0.277745 0.280785 0.127885 0.13164 0.142151 \n", " 0.21804 0.266237 0.276553 0.280015 0.126882 0.131495 0.149466 \n", " 0.218909 0.260866 0.273948 0.278216 0.126402 0.132583 0.160527 \n", " 0.214793 0.251677 0.268762 0.274873 … 0.125905 0.134919 0.168141 \n", " 0.205025 0.236342 0.257686 0.268181 0.124258 0.136765 0.168973 \n", " 0.191211 0.2133 0.2326 0.245848 0.119336 0.135048 0.164463 \n", " 0.178059 0.189933 0.200178 0.208709 0.108587 0.12784 0.157222 \n", " 0.169818 0.177108 0.182145 0.186406 0.0908557 0.114411 0.148637 \n", " 0.164797 0.171374 0.175268 0.178214 … 0.0696499 0.0950231 0.137823 " ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"NtSolutions/inverse_2_deconvolution_variational/exo4.jl\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the result." ] }, { "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" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fBest), string(\"TV deconvolution, SNR = \", string( round(snr(f0, fBest), 2) ), \"dB\") )" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Julia 0.5.0", "language": "julia", "name": "julia-0.5" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.5.0" } }, "nbformat": 4, "nbformat_minor": 0 }