{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Image Deconvolution using Variational Method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This numerical tour explores the use of\n", "Sobolev and TV regularization to perform image deconvolution." ] }, { "cell_type": "markdown", "metadata": {}, "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", 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"collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\Autoreload\\src\\constants.jl:1\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\Autoreload\\src\\constants.jl:1\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\Autoreload\\src\\constants.jl:7\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\Autoreload\\src\\constants.jl:7\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\Autoreload\\src\\constants.jl:12\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near In[1]:4\n", "\u001b[1m\u001b[31mWARNING: readall is deprecated, use readstring instead.\u001b[0m\n", " in depwarn(::String, ::Symbol) at .\\deprecated.jl:64\n", " in readall(::IOStream, ::Vararg{IOStream,N}) at .\\deprecated.jl:30\n", " in #parse_file#6(::Array{Any,1}, ::Function, ::String) at C:\\Users\\Ayman\\.julia\\v0.5\\Autoreload\\src\\files.jl:63\n", " in parse_file(::String) at C:\\Users\\Ayman\\.julia\\v0.5\\Autoreload\\src\\files.jl:61\n", " in #arequire#10(::Symbol, ::Array{String,1}, ::Function, ::String) at C:\\Users\\Ayman\\.julia\\v0.5\\Autoreload\\src\\Autoreload.jl:65\n", " in arequire(::String) at C:\\Users\\Ayman\\.julia\\v0.5\\Autoreload\\src\\Autoreload.jl:47\n", " in include_string(::String, ::String) at .\\loading.jl:441\n", " in execute_request(::ZMQ.Socket, ::IJulia.Msg) at C:\\Users\\Ayman\\.julia\\v0.5\\IJulia\\src\\execute_request.jl:157\n", " in eventloop(::ZMQ.Socket) at C:\\Users\\Ayman\\.julia\\v0.5\\IJulia\\src\\eventloop.jl:8\n", " in (::IJulia.##13#19)() at .\\task.jl:360\n", "while loading In[1], in expression starting on line 4\n", "WARNING: replacing module NtToolBox\n" ] } ], "source": [ "using PyPlot\n", "using NtToolBox\n", "using Autoreload\n", "arequire(\"NtToolBox\")" ] }, { "cell_type": "markdown", "metadata": {}, "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": {}, "source": [ "## Image Blurring" ] }, { "cell_type": "markdown", "metadata": {}, "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 }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: Base.UTF8String is deprecated, use String" ] }, { "data": { "text/plain": [ "256×256 Array{Float32,2}:\n", " 0.116279 0.110802 0.113704 0.134063 … 0.0287548 0.0287359 0.0314583\n", " 0.118994 0.105394 0.126063 0.153145 0.0137308 0.0191786 0.0328152\n", " 0.121933 0.131637 0.167055 0.1561 0.0191221 0.0219491 0.0383352\n", " 0.1686 0.187318 0.194206 0.179032 0.0218771 0.0327673 0.0437247\n", " 0.202441 0.179545 0.188899 0.180755 0.0342584 0.0396646 0.0410583\n", " 0.236876 0.231387 0.243987 0.195669 … 0.0397783 0.0451862 0.045026 \n", " 0.242166 0.26833 0.392237 0.219388 0.0492727 0.0520715 0.0412221\n", " 0.227555 0.239195 0.222395 0.223745 0.0614059 0.0561919 0.0450853\n", " 0.174463 0.192817 0.173714 0.161738 0.0588799 0.0560296 0.0411872\n", " 0.240959 0.214167 0.198041 0.176431 0.06423 0.0561998 0.0491571\n", " 0.233736 0.268875 0.323605 0.390379 … 0.0613594 0.0601386 0.0492048\n", " 0.469764 0.440609 0.320349 0.217411 0.0590014 0.0561119 0.0479389\n", " 0.217896 0.224526 0.240435 0.225365 0.0605422 0.0628551 0.0480219\n", " ⋮ ⋱ ⋮ \n", " 0.247533 0.309003 0.308757 0.305036 0.135376 0.126861 0.126032 \n", " 0.246182 0.279635 0.295631 0.297313 … 0.136632 0.129989 0.127163 \n", " 0.240817 0.24315 0.283953 0.312362 0.133973 0.131301 0.120581 \n", " 0.243502 0.235563 0.261751 0.3049 0.128674 0.1311 0.119053 \n", " 0.243583 0.225477 0.2399 0.238397 0.131327 0.117945 0.127137 \n", " 0.227261 0.233908 0.228406 0.247246 0.104366 0.112181 0.119152 \n", " 0.196036 0.223394 0.217576 0.224995 … 0.0903733 0.0930875 0.101424 \n", " 0.21693 0.190604 0.220216 0.217304 0.0862589 0.084944 0.0930124\n", " 0.476838 0.167249 0.212108 0.21071 0.0807355 0.0833831 0.0848607\n", " 0.534911 0.40117 0.175342 0.191631 0.0684402 0.071227 0.087462 \n", " 0.481751 0.479992 0.236952 0.164247 0.0669885 0.0697431 0.0725492\n", " 0.342149 0.467888 0.411812 0.143802 … 0.0684046 0.0711055 0.0766073" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "name": "stderr", "output_type": "stream", "text": [ " instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\IJulia\\src\\kernel.jl:31\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\IJulia\\src\\kernel.jl:31\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\IJulia\\src\\kernel.jl:31\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\IJulia\\src\\kernel.jl:31\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\IJulia\\src\\kernel.jl:31\n", "WARNING: Base.UTF8String is deprecated, use String instead.\n", " likely near C:\\Users\\Ayman\\.julia\\v0.5\\IJulia\\src\\kernel.jl:31\n" ] } ], "source": [ "n = 256\n", "name = \"NtToolBox/src/data/hibiscus.png\"\n", "f0 = load_image(name, n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initial image $f_0$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "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": {}, "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": {}, "source": [ "Width $s$ of the kernel, in pixel." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s = 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the convolution kernel $h$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.0176839 0.0167282 0.0141601 … 0.0141601 0.0167282 \n", " 0.0167282 0.0158242 0.0133949 0.0133949 0.0158242 \n", " 0.0141601 0.0133949 0.0113386 0.0113386 0.0133949 \n", " 0.0107258 0.0101462 0.00858856 0.00858856 0.0101462 \n", " 0.00727006 0.00687718 0.00582141 0.00582141 0.00687718 \n", " 0.00440952 0.00417122 0.00353086 … 0.00353086 0.00417122 \n", " 0.00239325 0.00226392 0.00191637 0.00191637 0.00226392 \n", " 0.00116234 0.00109952 0.000930726 0.000930726 0.00109952 \n", " 0.000505149 0.00047785 0.000404492 0.000404492 0.00047785 \n", " 0.00019645 0.000185834 0.000157305 0.000157305 0.000185834\n", " 6.83645e-5 6.467e-5 5.4742e-5 … 5.4742e-5 6.467e-5 \n", " 2.12889e-5 2.01385e-5 1.70468e-5 1.70468e-5 2.01385e-5 \n", " 5.93228e-6 5.6117e-6 4.7502e-6 4.7502e-6 5.6117e-6 \n", " ⋮ ⋱ ⋮ \n", " 5.93228e-6 5.6117e-6 4.7502e-6 4.7502e-6 5.6117e-6 \n", " 2.12889e-5 2.01385e-5 1.70468e-5 … 1.70468e-5 2.01385e-5 \n", " 6.83645e-5 6.467e-5 5.4742e-5 5.4742e-5 6.467e-5 \n", " 0.00019645 0.000185834 0.000157305 0.000157305 0.000185834\n", " 0.000505149 0.00047785 0.000404492 0.000404492 0.00047785 \n", " 0.00116234 0.00109952 0.000930726 0.000930726 0.00109952 \n", " 0.00239325 0.00226392 0.00191637 … 0.00191637 0.00226392 \n", " 0.00440952 0.00417122 0.00353086 0.00353086 0.00417122 \n", " 0.00727006 0.00687718 0.00582141 0.00582141 0.00687718 \n", " 0.0107258 0.0101462 0.00858856 0.00858856 0.0101462 \n", " 0.0141601 0.0133949 0.0113386 0.0113386 0.0133949 \n", " 0.0167282 0.0158242 0.0133949 … 0.0133949 0.0158242 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"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": {}, "source": [ "Useful for later : the Fourier transform (should be real because of symmetry)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 1.0 0.997293 0.989216 0.975898 … 0.975898 0.989216 0.997293\n", " 0.997293 0.994593 0.986538 0.973256 0.973256 0.986538 0.994593\n", " 0.989216 0.986538 0.978547 0.965374 0.965374 0.978547 0.986538\n", " 0.975898 0.973256 0.965374 0.952377 0.952377 0.965374 0.973256\n", " 0.957555 0.954963 0.947228 0.934476 0.934476 0.947228 0.954963\n", " 0.934476 0.931946 0.924398 0.911954 … 0.911954 0.924398 0.931946\n", " 0.907023 0.904567 0.897241 0.885162 0.885162 0.897241 0.904567\n", " 0.875616 0.873246 0.866173 0.854512 0.854512 0.866173 0.873246\n", " 0.840726 0.83845 0.831659 0.820463 0.820463 0.831659 0.83845 \n", " 0.802862 0.800689 0.794204 0.783512 0.783512 0.794204 0.800689\n", " 0.762558 0.760494 0.754334 0.744179 … 0.744179 0.754334 0.760494\n", " 0.720361 0.718411 0.712592 0.702999 0.702999 0.712592 0.718411\n", " 0.67682 0.674987 0.66952 0.660507 0.660507 0.66952 0.674987\n", " ⋮ ⋱ ⋮ \n", " 0.67682 0.674987 0.66952 0.660507 0.660507 0.66952 0.674987\n", " 0.720361 0.718411 0.712592 0.702999 … 0.702999 0.712592 0.718411\n", " 0.762558 0.760494 0.754334 0.744179 0.744179 0.754334 0.760494\n", " 0.802862 0.800689 0.794204 0.783512 0.783512 0.794204 0.800689\n", " 0.840726 0.83845 0.831659 0.820463 0.820463 0.831659 0.83845 \n", " 0.875616 0.873246 0.866173 0.854512 0.854512 0.866173 0.873246\n", " 0.907023 0.904567 0.897241 0.885162 … 0.885162 0.897241 0.904567\n", " 0.934476 0.931946 0.924398 0.911954 0.911954 0.924398 0.931946\n", " 0.957555 0.954963 0.947228 0.934476 0.934476 0.947228 0.954963\n", " 0.975898 0.973256 0.965374 0.952377 0.952377 0.965374 0.973256\n", " 0.989216 0.986538 0.978547 0.965374 0.965374 0.978547 0.986538\n", " 0.997293 0.994593 0.986538 0.973256 … 0.973256 0.986538 0.994593" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hF = real(plan_fft(h)*h)" ] }, { "cell_type": "markdown", "metadata": {}, "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 }, "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": {}, "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 }, "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": {}, "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 }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.147006 0.164445 0.178005 0.187653 … 0.0906591 0.107472 0.127165\n", " 0.138294 0.156249 0.170627 0.181218 0.0822509 0.0987673 0.118306\n", " 0.132873 0.151598 0.166987 0.178637 0.0760766 0.0926947 0.112434\n", " 0.131464 0.151143 0.167608 0.180264 0.0728161 0.0899615 0.110277\n", " 0.133701 0.154393 0.171868 0.185341 0.0725241 0.0904672 0.111599\n", " 0.138475 0.160082 0.17837 0.192364 … 0.0747425 0.0935097 0.11548 \n", " 0.144456 0.166724 0.185502 0.199624 0.0787502 0.098146 0.12077 \n", " 0.150461 0.172999 0.191824 0.205601 0.0837858 0.103476 0.126429\n", " 0.155538 0.177844 0.196176 0.20908 0.0891548 0.108739 0.131609\n", " 0.158878 0.180365 0.197607 0.209119 0.0942428 0.113281 0.135589\n", " 0.159786 0.179831 0.195408 0.205105 … 0.0985227 0.116535 0.137736\n", " 0.157835 0.17587 0.189329 0.196972 0.101614 0.118099 0.137626\n", " 0.153118 0.168747 0.179862 0.185461 0.103376 0.117879 0.135232\n", " ⋮ ⋱ ⋮ \n", " 0.211392 0.227374 0.239281 0.245411 0.163151 0.176982 0.193746\n", " 0.208349 0.225184 0.238373 0.24617 … 0.159525 0.173321 0.190243\n", " 0.204261 0.221724 0.235947 0.245225 0.155038 0.168817 0.185842\n", " 0.19968 0.21752 0.232441 0.242862 0.150085 0.163933 0.181068\n", " 0.195207 0.213193 0.228429 0.239543 0.145006 0.159105 0.17645 \n", " 0.191305 0.209261 0.224435 0.235735 0.140027 0.154636 0.172375\n", " 0.188057 0.205868 0.220664 0.231677 … 0.135161 0.150538 0.168877\n", " 0.184983 0.202593 0.216809 0.227195 0.13015 0.146431 0.165494\n", " 0.181112 0.198512 0.212106 0.221746 0.124497 0.141595 0.161332\n", " 0.175394 0.192616 0.20572 0.214754 0.117678 0.135268 0.155434\n", " 0.167307 0.184435 0.197327 0.206113 0.109455 0.127084 0.147325\n", " 0.157342 0.17452 0.187562 0.196563 … 0.100144 0.117432 0.137446" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y0 = Phi(f0, h)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the filtered observation." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "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": {}, "source": [ "Variance $\\sigma^2$ of the noise $w$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.02" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sigma = .02" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Add some noise to obtain the measurements $y = \\Phi f_0 + w$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.151497 0.156661 0.158723 0.200943 … 0.0855666 0.105065 0.154676 \n", " 0.128197 0.153212 0.204437 0.144666 0.144395 0.0792051 0.113058 \n", " 0.163829 0.163432 0.201985 0.197461 0.100375 0.109656 0.114212 \n", " 0.157414 0.12863 0.151896 0.210052 0.0686484 0.0870508 0.119795 \n", " 0.105056 0.175754 0.161697 0.194657 0.0648838 0.11115 0.128349 \n", " 0.0979527 0.164152 0.173758 0.164726 … 0.0705468 0.0842978 0.0832299\n", " 0.138998 0.16353 0.172074 0.183183 0.101824 0.124637 0.164174 \n", " 0.182639 0.133786 0.195349 0.189965 0.103157 0.114552 0.0943955\n", " 0.115323 0.198757 0.207743 0.197172 0.111343 0.112721 0.184525 \n", " 0.132442 0.207344 0.170676 0.186718 0.0735518 0.126847 0.116173 \n", " 0.167729 0.179642 0.203359 0.144056 … 0.112005 0.123076 0.145931 \n", " 0.130043 0.185567 0.185507 0.20567 0.105781 0.0933402 0.138121 \n", " 0.158515 0.175519 0.200186 0.186478 0.061173 0.148652 0.107409 \n", " ⋮ ⋱ ⋮ \n", " 0.215098 0.212715 0.243894 0.235835 0.1713 0.175189 0.149754 \n", " 0.198082 0.215331 0.217057 0.232337 … 0.19755 0.213086 0.215075 \n", " 0.242271 0.25164 0.267781 0.254595 0.152434 0.20092 0.155913 \n", " 0.197873 0.239698 0.22226 0.246612 0.133002 0.102168 0.170487 \n", " 0.180182 0.229346 0.244966 0.227581 0.160357 0.143198 0.165565 \n", " 0.161042 0.209684 0.19716 0.214735 0.165361 0.149927 0.184192 \n", " 0.184417 0.241261 0.189138 0.220115 … 0.103472 0.169334 0.151424 \n", " 0.174154 0.217453 0.233964 0.235056 0.141581 0.167344 0.160778 \n", " 0.180469 0.176171 0.211045 0.240946 0.133008 0.102179 0.155672 \n", " 0.180782 0.170594 0.195509 0.213029 0.10495 0.133586 0.168533 \n", " 0.169704 0.12598 0.200014 0.168629 0.118593 0.161339 0.153791 \n", " 0.165114 0.135443 0.228965 0.206421 … 0.112003 0.110828 0.130652 " ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y = y0 .+ randn(n, n).*sigma" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Rj4y0l1ZR3u/8zu9I0tNyOieccIKuv/56ffCDH9Thhx+u2dlZI+4PxHrVq16lX/iFX9D73vc+Pfroozr22GN1xx136Pbbb9e73/3uvdoa6+ijj9bLXvYynXDCCSqXy/rOd76jz3/+87rkkkvsPddee61OOukk7dq1S29961t16KGHan5+Xt/+9rf1+OOP63vf+96BOM29r2e1dvZ/bN17773BBRdcEGzdujWIxWLBli1bggsuuCD4r//6rz3eS9n4+9//fnDuuecGuVwuKJVKwSWXXBJ0Oh1735133hm8+tWvDrZt2xbE4/Fg27ZtwQUXXBD893//98T39fv94MMf/nBwzDHHBIlEIiiVSsEJJ5wQXH311UG9Xrf3SQre8Y53/NRzGI/Hwfbt2/dajuXfP/ShDwU7duwIEolEcNxxxwV/93d/F1x00UXBjh07Jt77z//8z8EJJ5wQxOPxifL53nQ6g8EguPrqq4NDDjkkiMViwfbt24Pf/d3fnSjZBsFq+Xdv5d5TTz11ryXsva1f+7VfCyQFt9xyi73W7/eDdDodxOPxiesfBHsvme/evTs488wzg1wuF0iy3+a96JpYd911VyApuOuuu57y2C666KIgk8ns8frerlmz2Qze8573BNu2bQtisVhwxBFHBB/96EcnSvVBsGfJ/IMf/GDw4he/OCgWi0EqlQqOOuqo4A/+4A+Cfr8/8bmHHnooeMMb3hBs2bIliMViwUEHHRS88pWvDD7/+c8/5Tk80ysUBJvPvdpcm2tzHbi1yelsrs21uQ7o2nQ6m2tzba4DujadzubaXJvrgK5Np7O5NtfmOqBr0+lsrs21uQ7o2nQ6m2tzba4DujadzubaXJvrgK4Nq0g+7LDDFI/HVSgUVKvVVCgUFAqFNBqNNBwOlc1mFQ6H7bXBYCBJ6na7Go1GikajajabGg6HCoVC6na76vf7isfjCofDGg6HisfjGo1GNgoiEokomUwqHo9rPB6r0Wgom80qHo9raWlJxWJR8XhctVpN0WhUnU5HoVBI4XBYyWRS0WhU3W5X27dvV6/X08zMjDqdjmKxmLLZrIbDof1Ou93WaDRSJpOx16TVqXHJZFKxWMzmFCcSCdXrdWUyGbVaLXU6HQVBoGKxqHa7rW63q0gkosFgoGKxqFwup1gspkgkonA4rGKxqFAopGQyqXK5rEKhMNEPFASBDj74YDuvSCRiT8KIxWKKx+OqVCp2fsPhUJ1Ox65/r9dTKpVSrVZTJBLRaDRSv99XLBab6O7v9/sajUZKJBIKhUJaWVnRYDBQq9Wy700mk6rVagqCQNlsVo1GQ9FoVMPhUNFo1H4vm82q2+0qHA6r2+3adWY0Cb1Xw+FQg8FAoVDI7v94PFY4HFY0GlWj0VA4HFY4HFa9XlcsFlM0GlWv11M6nVaz2VQqlbJ/azQampqaUjgctvMJh8OanZ2VtNoP1Wq1lMlkFI1G7b4Nh0MNh0MlEgn77VqtpmQyqW63q2g0qkQioV6vZ+cqSfl8XuPx2OylUCjYsXDM2FUQBHZ9Y7GYhsOhgiBQNBrVeDy21hj+5PhDoZDtn1gsplKppEqlolQq9bRHffi1YZ0OvUFBECiXy2k4HCqXy6nT6ZjBxeNxcyqj0UiRSMQMk76b4XBoBsKNHA6HSqfT6na7tgH6/b6CILAZNPl8Xul02m4oN85/Lzev1+tpPB7bHOPHH39coVDI3lMul/Xkk0/ahozH4+r3+5JWbzybgN9KJBIqlUpqt9sqlUqKRqNKJpPW55VIJMyI+/2+crmcms2mBoOB+v2+lpeXFYvFlMlkFAqF7BjC4bCNX0ilUhqPxxqPx5qamtLDDz+sTCaj5eVlZTIZBUFg17XdbmswGNho1F6vp8FgMDFHeTweK5PJqNFoKJVK2dziIAiUTCbVaDSUz+fVarUUBIGazaZtPn6HgBGLxdTv961tg9/ECWcyGQ0GA7s/8XhcvV5P7XbbnE8QBGq1WmY7HGM0GlW1WlUsFrP7OBqNzFHn83ktLy+bQ8I5ZjIZu8fhcFidTkfJZFL9fl/ZbFadTkfdblepVMqOFwe+srKidDqtWCxm96jT6SiRSGhpaUnpdFqDwcCCGHaYzWbVarU0Ho+VSCQUjUbt+mAz7XZbuVzOHHA4HJ4IjLFYzBwZ95yAjN1i37FYTN1uV61W6380k3vDKpKPOeYYcyzFYtGiLEPD+/2+XWQMh5terVYNTWAwweoURY1GI41GI7uog8FAuVxOrVZL5XLZbioGHgSBBoOBoSDmI/vjwdBxbqAMopS02rTHDeeYMcpkMqlqtapcLqd8Pq+VlRVFIhHFYjEVi0V1Oh0Nh0NFIhENh0OtrKwomUwa2kilUmq324a2iGqZTEb9fl+zs7OKRqPKZDKKRCIql8s2wqNUKimVSplzSSQS6vf7FnXD4bBWVlaUSCQUBIH9JteBDT4YDOwYu92ustms3aNOp2Ov40w4VtAos35w6q1WyxBOKpUyJ95utxUOhy2Sh8OrDEK73Var1bLf5M/BYGCzi7k28XhcrVbLInwikbDjJ5CxbfiNcDis8Xhs16lYLBrirlQqhk5xopFIRKlUSt1uV+l0Wr1eT0EQWJABkbTbbUlrw9nH47EikYgSiYQ5IWwLtFqtVhWPx83xcV35Xe5XOBw2ewbJYI/xeNycPM4tHA4b4o7FYkqlUnrkkUf2ee9uWKdz0EEHWXRms6bTaXM4GEgsFtPy8rIZmR+a3u12lclk1Ov1JkYMtNttpVIp+w6ipiRDTD5yMNy71+vZzQK14KBSqZQZDoZF6kS0YSMnEglzJtIq6giCQLFYzM6RKJ7NZu07QGSdTkf5fF7D4dCMqNls2neSthF1gyCwuT7lclnFYlFBECiRSNiG4zpnMhl1u10Vi0VVKhVLR7jmHEMoFLLIyzGMx2NLNzF0Nph3HtFoVJVKxTZWu93W8vKyQqGQWq2WORw2JEgplUoZUgiHw+r1evY7bFBp1XG1221zWhy3tIpKQTU+/WZjS7IAhcOUZA6sWCyq1+tZYACJ9/v9CaQtrW7sbDZrCAx0wnc0m01LiwlCOMxUKqV4PG4odzgcmpPgM9y3SqWicrmsZrNpe4IAQUrOd/nh8e12W5FIROl0WuPxWCsrK5qbm1Or1TLnMz8/v897d8OnV9JqhOKikQaRdy8tLVm6QoQlUoE6iB5AYQwRgyUqx+NxxeNxraysmFPyUS+dTtvjYDzX4KEvnwUiN5tNZbNZ4yGA3Z1OR+l02t6LY2DzA8cxVI6f19ko/DsbxDsarmE8HjdoLcmQGcbsEePKyoohgUQiYf8Px4Ghe7QZi8UMmnMucDkcRygUsmNtNpvmXLm/XOtut2uoodfrTXBxHKu3B3gTHFu9Xp+wFRwbyCIejysIArXbbbMb0Jwku35cK1IoeDnSQ9Is+Cu4kV6vN4GKB4OBpYuZTEbtdluLi4vGX3EPc7mclpeX7Z7xuXA4bLxTOp1Wu93WeDw2O+r1eioUCvZZ0KBP8fy9In0LgkCzs7N6/PHHjWYoFApaXFxUqVSy892ftWGdDjeYqByPxw2yLiwsKJFImIGS5hQKBXMGiURCMzMzlmplMhnbmOTwbKRGo6FisWjRXFrdLKAduA/ybKJ2t9ud4Awg+kgLJVl0J72C5PNwHISWz+eVTCYtAhJFiTq5XM4iWaVSMdREdOV6gIQwMs99cDzxeFztdtucKOdG+gEBC2oDReGggiCw7wyFQqrX60qlUmo2m4rFYsYzgFrgULj2OJBYLGYcFRCfdI+IzT3AWXF83K/BYGAIN5FImMPACUGGw+WR4qXTaUuPpqen7TtAEQQEjo/fw4GTmkUiETWbTUO2OEA+y7F4Ur9Wq5ntQXTjLBOJxEThgVGo7XZbvV7PiGmQysrKivL5vCqVijl5HGMkElG1WlU+nzdqAcfYaDSMH8MBc5/G4/Eec32e7tqwJfNqtWpcDvl8v99Xr9fT9PS0EbFET0kGeTF2DAvoi6EAYYH2pBCkcbw3m83a/+NEiL5wNkSkXq9nxkY0xjBY4/HYol44HNaWLVusWpbNZo1QxUDm5uaUzWaVzWZVKpXMaEgLMpmMDYZnQ0EgY8CSLF0DbXCO0WhUMzMz6vf76vf7qtVqZpRUkziHpaUlNRqNCYRYKpW0srJifJEk441AOtyzUCikZrOpaDRqm1VaG2yfSqUUDodVLpeVSqWUTqetWugJdtBgMpk0x006g7OA48OZ5vN5CzagBlKUTqej2dlZqw6RemWzWUtTPUoqFAoajUZGtEPM4yB9cYPXSPVIy+CZuEY4GBy6JHMwnU5H9Xpd4XBYmUzG+EnshnNot9sql8vK5XJ2nvxeIpEwzhNUGgSBZmZmjFogTcY2pNWZ1fuzNizSARZywyBRJVklilIi6QLOAX6k1+tpeXnZqhuSDF4SfYGaVBOIOqRkHsKDjpLJpMFcnBF8DREEx5HNZu3fBoOBMpnMhBOJRqMWEcnjqdSRv+P4isWiRTZfCUkmk0YAR6NRQwpsDP6cnp628nan01E0GtUTTzyhUqlk1xfHzHXEaRChO52OVT34rna7PXE8Pt2cnZ01LmLbtm1aXl6eQK8gN0m2sdLptB5//HFJMmkAFcXhcGiVKhwH9zAWi5l8gioVzh+0B2LKZDKGYEAPpC8cUywWs3QTkhwH2u/3zWFCaq+srFianM1mVa1WJ6qTOEeQV6vV0vT0tNka1UbsvNPpaGpqygIbXAuVJxw9VECv17NUlEIHv93pdOw34/G40um06vW6cW6k++l0WisrKyoUCk9rSP3e1oZFOqQvyWRSrVbLcmaiL/k0UYs8Hx0OGzOVStlmhfwl35Vk0QUthrSmY8DhtdttS93YZD4nHwwGdqNWVlaUzWbNUEAnHCOIio2IVgh+hfQBB0RaiW6FlKZUKpmRgBJI3UB2pJT8Tq1W08rKiprNphGH5XJZi4uLqtVqVmXiGnPdE4mEms2m+v2+bXY2IE6Xa0f6BmHZ7Xbt79Vq1b4bRALEHw6HmpqaMoc1Ozurcrls0Ranwbkkk0kjy+FQcCKkfMlk0vRcXHcqQ3Ax7XbbggzpHahaklWBQHA446mpqQkNGPdrvQaHkjeOcjAYqNlsKggCu284w3q9boELtIcD7Pf7WllZsYpVIpFQpVKx4ML54eS47qAWhv1zHlTTQMX8Xq1Wm5AH7M/asE4H/mA4HKpUKlnKxE0mouHVcUQrKysKhUK2Uag6+PzY8xFsSiA/wjc4BSIsvyWtkou5XM5StWw2azcKB4KD4cZHo1FLlXK5nDk2jKrX6ymfz5sgkRSO76CqhG6EqgqogygryZwraKJQKGg8HluFzaNEIjeoBtIYTgNnD9cEX8CmXVlZMcfU6/W0uLiodrttEZ/0B35sPeqEtMzn85qbmzOCGeI0FApZeZ/XEFB2u101Go2Jahr8GBXHXC6nRqNhzp97TuABfYA6cTD8fyKRsPSDoBCNRrW0tGTOndSFMjYVJ6451aj11S1JRjbncjkVi0VLvbh+0AA4Myp44XBYuVzOnAbENo4M9BUKhYyDomJHMMWhoumhEIOTXP+Y5Ke7Nmx6Jcki5MrKilVuIFkxKnJ8on6lUplAESAI74SIjN5YuSm+TBsEgfL5vJXYSeFIM5LJpGl4cJBbt2619/vKAVUxfov0iuhKVOTm4xwHg4Hy+bwZHxogqi2kVXBZRH8QRSQSUb1eNwfkeR2fekBK+wgHl0B5mqob15bUEARGuZw/vXyBqhUOBGcED4OmaHp6WrVazZAukXlpacmOXZIdBwgUVTP8nCTjquLxuJWO2VBsatJsNjXaoUKhYGka6LVararZbNr5wU/hnHu9nqamptTpdCxN536iL6I6BSdXrVYtyEAmg5x9isT9h6AmXQLt+6KG15bxb6SwyDJISROJhMrlsn0G5E6g2J+1YZEOak1f+ubGSLLyN4hAkt3YqakpFQoF2+DAcr/R4FvQkgyHQ9M5JBIJVatVKyWm02lLPYjyc3NzSiQSyuV26kCgAAAgAElEQVRyymazyufzptfAGQF7ycez2axFb2mV+B6Px7aBfJkWfgQinO+T1pCMf02SGY+vAIHYcGIQm4lEwtACiIrPQsgTDeE/EAtyrKlUypxDp9OxDU5Q4PiojBQKBXME8BOgLO6DJDt+Km+gRzYCzoDrTYQm6IA6cRzhcFiLi4vGAVFIWE/2QtxmMhlTeLPRfeqTyWRULpfNJnzaTtAj2OCs+T1IX5wBaBDbBAlhd7S5QDUQNLnOFDvg6UizKE5wjKT4hUJhotiBJAGE5oWwz7n0is3rPT7Ru9FomNoYopYNAqGHsA4ClhuK4eDE4DBQ6hIFKZcSXSEPy+WyRQ2qQ2wsxGNsCNARcBsuyEvdqZBUKhUjCDFcdCvwCzhgUjXOiUgGkvOlahwJmxNYXq/XLUVbXl62dAMFbavVMoherVbt+0BlbEj6pPhNUlmu2Wg0UqVSsRRyPa+C45VkqQUcHJwGi7QVZEUayPFwr1utlgUWrhfkNY6MdBkbgJ+D+/DHBDcG0l1aWlKn0zGxKdIOSGcCy3o9FtcTJAMXxGv8ZjqdViKRMH7Fnzu0gO8PBHnCzXDtJE0UR4IgsEKIpAnOZ2pqyuwap+4rr/uyNrTTYcNSHcGL+5Ip8u5MJqN6va5isWhVDiLO+pvqG9x8lYrGUlIYEADGWCqVLL/GwLdu3apyuax4PK7Z2VllMhkrZ+IIU6mUDjroIDM+f9wQi7Q8ELUoKcOnkF9jpMj+6/W6RXCIZGm1FA3CogqDE4JIhtiFeJRkCIoqlk89cdiUoUGPo9FI6XRaz3ve84wrQjCXz+eVz+fNeaznTSQZd8GxS7IUhc1DtcU396LilWSILJ1Oq1AomEbFt46AngaDgcrlsn2OFLLb7WplZcUaV7GX+fl5QwCj0UipVMrK0aRnXAOQE2gwn8+rWq1OoDhJZs9QARwXwcn/DikrqAfeEb0XAcxrnwaDgQVQbNC3q6C1AvGQrpOuEfT3Z21Yp8OG8a0AOB3SE1obiNJemYzEH8jsGz65oL4EPRgMrCLh4SYGIclybh+B4TSKxaKKxaKSyaS2bt2qfD6vYrFox0EPGOkbZXtJ5kSB8JDhGAkpQTweN04LwyG64ZRwQqAlCE2IaJzLcDg0jU4ul7PITApDBGy1WmawRHDPrXhykjI3AkUia7vdVrPZNNKZ1hXf64WYkTQAaQElc0rUODCOF1Tq2y0kGRlLBYtAhFNHPcz1wZHxvThNSHK4Ff6TVosSkPzcR2mtCILNoi/yBQ3SWYIFfA/I1js+OBxsEo6Sc2d/UKmjP4xzIS1DryXJrjFVQJ7l7gMchP++rg3be7Vt2za7mdx0vD4QG/J2enraRF8YOtwBN1uSVa1Ih3AowOtms2kRhv4j+AIiNE4DBzczM2MwmkoL7QjVatUikbQ2bgEFLR3zaHKGw6Hy+byVZHFG6JRCoZA1F7IJIGRxPGzIQqEw0cPkU0oQCgJIiNTl5WVrevVVKf4kGpOm8m9sMNI3+Cj0KKlUSo1Gw0hM7iHnjcaGyA5n8eMf/9hUwE8++aSlElRWcKpPPvmkkcicK6mVJ7SxA+QRqMe9mA9eA6cOF0PVDd6Kz3rODaedTqdVrVatOsZ1p6XBCw4h7nkf1w2VN46ejnuCZC6XM6dLAy33Al6ONBIEDMc2NTVlZXPufbVatYICzjYUCmn37t37vHc3LNLBw/f7fTWbTSvX0sNEBUZaG0/AxoD74XUiPJsdXghUJMkqG6lUyuah4ASA8WwiuBRf4t22bZshHPQmO3fuVCqVUi6XM2I7n89b5H3e855nxkxE4jxwEvl83iIvzpLeLMhLuC9f1cOY2QjAc58akRbANbHZQDVUOThnBJTtdlvT09PmhP2f0urGmJqasteazaamp6dNS0XQAP7z2vz8vG0YeupANqBLnBLRGN6hVCoZgUoVkkBC9Y10BJ4FTgtniMYFAWGv17PfA1WjWIYMp/yM4xiPx8bFUOXy6SB6GI/qEOkhV1heXtZ4PDbHgiMlENEIDamcTqdNrUwgkGRBDW0RNIJPf3HK9KhJa60kpPj7ujYs0tm5c6fBSTw/zW2SbPM0m00bz9BsNrW0tGR5MR3gODAv0JNkNx6YjYHgcID2bJCZmRkTsRGZ8vm8bXZpDdZLMoIboRhIDAkAaCgeXx3fQYmaDeudKvJ70kTKsHwPRCVcgVcIE70huqkcYVREdJ+qEEUhiXFsyWTS0gAUyUR21MixWMzEgqSJXrBH5z/jITyxDvynRQBRIX+urKxYgMA5EDyQQZCeeKGg/x1fLMCZ+NRvfZXOk88EBpACzp/xKJ4jIb1BNQ/HhHTAK9K5117bI631AFKNg/+T1ga+cc7YGwQ7qBs0w7+vrzBKMoTD+wl8Dz744D7v3Q2r0/G6Bd+9jHHgPLxITNLEuASI3CeffFIzMzN7tDD43h3fNSytlp9pR0B/Q0qVyWQUi8XMCUWjUbVaLRu4BWrAYW7bts2OG6eF48vn8xaZ8/m8UqmUOT2QhrSWGlC2x+BwHn7wEg6adIESMvwWyAluqN/va2pqaiIlwVkxMRFjZ0M2Gg3jIqh+watAXgLx+S1SWqop9MZ5ktZvFtBVqVRSo9Gw9JhUstFoGPJDEYxDmp6eNkfrxYtwbJwnvAkEPefldWAgAgoMIB14qE6nY+0FXPdQaLXJl2sDGcwkQc/hgOA5fgSgPjVCiMl5cK+9k0gkEmo0GhaYgyAwlfzMzMzEuJZsNjvhGLHVxcVFszcc376uDet02GwYge82hrvwkn3aEuApSCcwXgRWELGS7IYTeT3fg8NhTGqhUJgYjQCcB13QhyOt9Y2Vy2VLGbwKWZKR1WhN6Cb3ZWl0OkTpaDSq5eVlQzUYEc6ZUZZMEuS7kPv73B7y3Q/nwsH6/jN+H1KdKol/r++/8spoJAxsYn9+/hx9tWRlZcX6inA63L9CoTAhdlxeXrayNUQryAZntLdqDKkQaIvqEo6AdIb7S+WMoWykoTRMkrJ7biYcXh0lCjqkmxsOLZFIaGFhwXqcmFhIfx/BhPI6YlOU69ACzWZTz3ve88wpE4hAoqTzcJSkkJTs4S2RPOD4QXL7szZsejU7O2tRBT0OUQWRGYgA3oLeFtIp38qAJJ4SOfwDhsLm4nuj0ahxM3A3XmlMeZQpctLa9DdgvC+7UiHiuLrdrmq1muk7GE0Kwlivq0CxzAaSZIgFDgpuiBSFxlO/sYH3pGG0c1CeJnXz5LcvS6PPwVn6HiJ+A2cEMuG+HXTQQZbq4LRarZZmZmZMr4Thw0dxrktLS6rVataESB8ZQjtGa7BpqPjB4XBtKDeD0lAYS7KWACQNpGe0HnDcoGQcN2kJ18r/BoEMNMpMHVAjKQ6CQJw93BZo1adgfvYPDoI0kPsKQkMM6PVOvjkZ9TvpOnbOXlpaWtrnvbthiWTfKcvQ74WFBa2srJiQjqiIoRGh2NhAa0g9iEFUwFRyuAkYUyqVMug8PT1txo0ojQoCBCrVACKjj8qZTMZQDA4I1IZgLZPJaHZ2dqLci5aGUvfS0pJBYHgZdB6egKaihxNj08MncQygHLQfzL/BGCEria44N76PiI8uBeQGV+BJX2A+VR5/naiWkSJDBuNwaReAY2Ajk+rgvLiWoF7QJRwdx+GbKZFjcJ6gZJAlAk+uDyNV4JOopoHm/HhaScadgYY4Ds8xegRIRZPqIccEwevtEMKcyiaEMDbtHTvf4VEndohjx95wwtFo1NK0fV0b1ulgQBgLsm4UwaVSyVIIFMqMAaA6wg0PgsDSG0rSwNBer2e9O9ls1iIszkeSDXsKgkDT09NKp9Oam5szpevCwoKlORgrhDZ6FfJ8NilGg9FBCKO5mJmZsRTBd5rXajU1m03jk3AARHNSILgwkEev15tAEZ78TiQSWlxcVC6Xs83NcaPcBWpzzFT2fNnXl7NJuzBgnDqCTXrXGCURDoctheVc2TD0VSFyw7n6+TToUkAI9LpJstSSyhNohOPyQ848d8P1gzfECbKwFY9ePffmHQ48GCS0b0nBPqjQwTXB5SAZwY59eR5U02g0zCljWyD3ZDJpDgRnjx1T0SOtk2TBHGe3r2vDOh1QBCVdIPPCwoK63a5N9MdYgiBQvV63iLmwsGCRVpIZORsQ/QyycSopPvUiivCeqampCXEdhl4oFExtTBpFYyNT4Kg0sXk8jEYLIslgMAZKWZaKEs4IQtfzSr7JD4PnNxAxkmr5kjEbnvEWbFxSTxw30ZiFkyH1YBMiCOx0OtbDJmmCVyEa4zxCoZAWFxftCQw4fURrEL2cH0gN9Mci3UUhDJGO46CayT0nMHiehLQlnU4bCexbZahygvDQefEeX3oG0XpRKNzjeDy28yMd5PxoIcnlcrYXULpTYcSZVioV47ZAaThsigh8hnQVVMn/h8Nhs3N/rPu1d/frU/8HFtUWkAARljENpETSmmTeIwqQjrRm7L7jnCoCjaNEGpCKh6E4E34HA0mn08aRgAjgMyCzvboVfQaVAVoSSAMHg4Hq9br9Li0MHB/RlOMAnUEYRqOrw8Z8oyXR33M0fN47A//4EzY0qQ0lZu6Fj/pIF3A8jEng3EEXVGLgvSgCMA6CigpjUUlj+N5QKGTVQaqSoAI2cLfbtWPxUwTo/2IOEZu7VqtNBACCF8dP+khRAPIVO0FAh61SKveyA5ww4kUEqCAM7i0pFikf302lDdQCKude4mShI3BGIE+Q7/z8vDlQAhEIjKowVTOc1v4SyRvW6RCREPh5BWwmk7F0AqKLCw75xgxaHyXa7bZFPW4samMiCGK06elp5XI5K51jRPT3+O7sqampiSc64HyIdGwIcnmMl0iPsS0tLVmpmQqdtNYr5lXCpGqSrCueyC2taZAgvqniQDIT2Xw7A1UXUgBJFr2ZwYuTJkVKp9NaWFiYKLeDYuCAPK9UqVTsulHpIrJ6vofrBcdBuuLLuyCafD5v99U7Gq/HKhQKRmjj8CRNEPWc13A41NzcnBHL3W5Xu3fvNocJP+Mrh1TecO4UOXz1lfeRkqEjw4mDvHEkOBlfWPDnBrdF0MKZ+QoayMU3jKL0577QD+jHtWB3+7M2rNPhBkiyyEcE92MR2GToI+hvQndCtPAtFEQv+A1uHrodX2oF0pLmYbAeDRER/IAon/ogzKK5czweWypIeoLzYpQmBkmK4nuEMG6QWjKZ1Pbt2+1hfKHQ2uzebrdrT4HEYCORiHWE4xDhGRAS4vBwdIgw4S1Aczz5k3sGD8U1lmScD2MjvDSBjeu5Ee4ZEZwUA4dVLBZt/EShUJggkAkUPuWCa5PWHgeEgyQw0EDL9eE+YE/MbiZAcV4EmH6/r1KppC1btky07dDy4LkmuCk2fCqV0tTUlCRNoDAG8RMAfCoJIvJpOteeMR+khaRUIEsQDqJCyOd8Pq9er2fDwZ5zDZ+UZBGYsclZGD0pSjgctooO6Q8bH6P2Iy+pRkgy45Zk1SbSmmazaRefDclx8f/cYB4Uh8APuE70RfAYCoU0NzenZrNpZCUGw3v9kzKR81OiRwjHeI9ut6vHHnvMNjDHRBQuFosTjpRRGDhjUihQCmMrMUAQBumGJKt6gd5wML40S5oLogJtIO4kOlOt8U++4HoSXNDFjEYj1Wq1ia71SqViDqDZbGp5edkqZtxvaW2WMRMc4cZArjhDghcogfEpLFISUjxEnRC5BEzON5PJmAgUzicUWu2XA5ljA3wPHJMvgZOq+QmQoBrEicwQIjXHBujx89zh1NSU/a7nA4fDoel29mdtWKeDspURBKAcP2wIzqdYLNoMEs+HcFM87KYyVavVLKL6qfx+7jDIByQA8uKm04HNd7N5QWa+BQBxGPxDrVZTqVSy3i4qBkQmX32gc9zPbKZqRGkfQ02n0xMdw/BEEMuepCSFA12QRuJIUND66IpYkvSUag/tCURNhHr0zYG4SA1QUMMdoDAmmpM2cN9xmpJsOh9OBcfGOdLeQGe/JPsO3iutOg/Uz9gPfX2gYlISbIdURZI5GMhh0hzG11KI8GVtHA/cHrYhyVTJoCNEoJyrpAmEPz8/byQx0xZQ5uNACb6SzNFjWzhOr+wnKIzHY83MzOzX3t2wimRuPE+u9I+U8ZEVR8RsYaIB6QyG6ru92Uj8+/T0tG0miFpK2zTUUaUgakPS0oUOovEjGkAu6Hok2fuJIgj0UEp7vQ9PbgT1YIjVatWqUaQW/iGCCAzJ2eGZgNIcO82tHuHAn3EspAAMASctZPNSxWMjc06gMb6H3+O+smFJZwgWzDSCAOffM5mMDfwC/VHd80JE5BK8j6IDpDnpCN/nn/bK5qQ1w6uhSf94z8zMzB5aJe+MsSEUv+h4vHKZ9hk2OIGw3++bQ6W5VpIhMBxqsVi0FhHQFwgpHo/bPccxUpHzWiNswGuFPGWxP2vDIh0GGeGBqUj4pjpPeJJuEEFBA/Ab3GQv+lr/bCWEZFu2bLFqANCfAU+IAjEWZigzzoKoHY1GLQLxXfQNEWVwemhVJBkkR5BGJYLRED4f59ypNIEAERSSWjDKUpJdU84LJ+PVtHwnG5YO9mRy9SkECPpIyTzn4FMkyv0LCwtm+BC3OEZ4Ca6L7+IGlUqyNAheCd6FyA0HUSqV7LhAlnSME4hIZSGPfSMk/NV6Ml+SHZdvtwGBxWIxbd++3Rw8nFSpVDKhKER/NpvVzMyMjbrl8T70B+Lg0IdRuudaJRIJa63wRDWOwwse+QzHjiNBZEjVUJLN1/ajOvZnbVinQ0+MtDa8Cy+MAXmRFf+GgI6NG4mszZGVZPnuYDAwOO+1NaQfyMgRDCYSCYPgPFERjoV/I3KwCajAkV8TeanqUPGSZE5ieXnZIjBOT5KNPcCAfGrCeXBdPJKDlKQi4bkgrisIiJEKRHa4JPJ+L5iTZIaOsIxrT+sF1UY6qkE0bHhIcTY894o0kGNjk3nNFmkIqYuvnOHw2Yxs3lgsZv10VHNwtNgP6vVCoWDEMW0uyWRS27Zts/QJbq5YLGpubs566CTZuZMuEpympqZUKpXsfnAc5XLZHBNqauwPZELQhJMCPSUSCesF5NoQ6Gjn8YENtbEnmRHK0p+H/ezP2rBOJxaLaXZ21ioL8BAw7lwwjJN8nqhDlcl7bDy9H1wFbwFnQh+MpAmilCoVkBnEI605RQg9yEJSG+A9xCW5NIJBUMR6Ug/CUVpFQKSRRGafs5OqwE/BLdXrdTNSn04x3yeRSNigcVIaUAToCOOFZyOSw+VIaz1sODVpjUiG0ESVzOagciOtcRW+4uPFdqATftdruKgW4sRxyNFo1Ejeubk5ZTKZCXKZa8Bx8lkfsCQZtwg6RcLAcaPoRnBJoGLAW7FYVC6XswrVaDSyqZK0eEgyW2ZcCinq1NSUjWEF9RB0CXR8h58r5CkKbEuSabuwM64pdoMNcf77ujZsw+fBBx9sGg36RlANkwIQ5ahQ8WjV9RPwGUROC4R/+mYkEtGOHTuMJ6K/JplMWoRj2ptXavZ6q483BsWg7xmNRva4XXq9otGolcoR9NHZTDuBF2oRIXFAfnQqzYIcG5uAf+e3aNwjxcQM4Ip8+tjpdOz7ME5STiIgTp/HALFB6NkC2tfrdZXLZdXrdc3MzGhxcdGQIOeKs/RldTaxf4IBqAdUyjyZTqejZrOp+fl56wnDUSYSCRuHgSYKO+H+xeNxLS4uWnDiSRAEFZAF5WWO26eRFA5IY0jtsVHv+OCFfIe45/mktWodPCFI2af+OBZ4Go9eSPMIDAgxsTscEIGSogHBjvOiWTUajWphYUELCwv7vHc3LNLx+SSREuOSZE4Dw2AwElA5Go0a3EZQKMlmlvAblIchPFutllUK4JVmZmYs4tJUR4WKahfaGyIL5VAMhlIkfBNjFTBIbnwoFDJBImV5STaegiY+OCY2uyTjgEi1cCycG9EMo6SfByFfrVYzR+i5I9TQqKbXo0GEgvAEzLnhcTC+nw2ZAccFCeo1O0TxSqUyISCkOgayLRQKKpVKNuuaVNRzWPTc4WC5blNTU1adnJ6enuiF49jgmjgezx8SHBqNhqFeNENocHA8VAepqvmKESkSwlM0SMPh2hNPs9msoX5U8P5zkibaLTguMgJ4NhyqJHO+vs2F+wNip5VnX9eGdTpsaPgLCFA2UywW08LCghHM5XLZvD0PYCMKsWEpfQLpiWZMAmQ8JH1P3FA6b9G+RCIRzczMTEjhQUlwFkQLjAlCmJy7UChoYWFhom3Dz6ghpyaFjMfjpifBUaEuBsmg1QCN4bCIfkRICGmqLpC1GLTXasAbQeYzbAyjxbD5XTgYnJMvpXOso9HIKnCRSETVatWcBn1bpJD8JtW7ZDI5MXWvXq/bNYKHQWuF2I+iAXaDXUGcguRmZmaMz8CZs9F9darVak2UyiGcSWm4x5TscTKS7B57p8Q4DUSLyDXQI5GWT09PazgcmpMExXLfcH7wOJDGpEv1et3ScjIDrheVK4hw+Kz9WRvW6ZAekGNGo2uPySA6U7UBhVDqhaSlbyefz1s+zGdBSMynJZXhsxgEPIe01moBJCVVY+NxTL4szMajogRfgMiL84PgBn1Qqge6IyzEMEBc8CRUzeC2aFfA2OGOOAaIZFSyvIeyKoT11NSUIUJJ5gRw8GwWiH5JptWRZIpuaa3DGaKXVI4Uzat1cfSkYKQcqLDZtKBFuDuuBSkahK/X3uAQIdBpLmXuEt+dTCbNQcEXhcNhG4/ry/QEFEhtur49D+TV39gGjmMwGFjlDmS1ZcsW+x3QNGNUGGkLkpybmzPb96k2TsvzYiDwUqmkpaUl4/F8+oYd7c/asE6HNIHN5x0AkYTKAJ6bMiYaCf5DW4KRsfFRaoKCeI1I5lWaoIWpqSn7PcrbpC18L0QdZB2iP0/UEkkZK8D3+0l4pDaUNiGhccI+bWJz+O5oHmmD4+G9kJWgNgZOQe5WKhVDXP4BeiAF2jl8KslvEOkhcaksMoaClhOCCDwKG7JWq01M7mPjwNuB9CixS2ubxPcjcay8h3P1bRfwbZz31NSUtaDg2EGy/nE5jP2AN0F4CJ9D0JLWHuHDvfSFBf9ML77Dq6b5DdIuiGWuR7lcNmfkO8Xp28LmOD9P4hNwvWgUbVk8HtfS0pLZ4r6uDet0mMXC7BcuNhUqID8IAE6ApkSIU6IfEcWL7ySZUfn0ipvKDfHRgw3FezDGQqFgs1G4eVQgmMTGsUDCgqZIpzBMxIAYORUhohqfq1Qqhjz4jxTMK2c5nmazab/HI2poMeGaUFnxvUtUpqjsoLWhkgbxym8RKPyTVr0T4f+JwJCd0uSzo0gb+RwoSFprt/BKcVAVaDASWX0GOjbCd9L+Qcc55+pTDxAQ6aAfNoYdem6w2WwausE+0eGQ9hL0GBviOUppLfXyFVgv9cDhU7JHUc3TRZB8VKvVCV4KBA5yZuAZ507LA1MYQXOe6N6XtWGdDmgDXgEv7dsNJFn1wQ+FQmQF1OXCk9tTJeLzpEtEW36Lf5+bmzNkw81imLbX5FABIj1CRAhsxUjp/fLzZSjhs/k9yoL4pOFRkjUhgtzgeDA4T1TCB0GoptNpGxguaWLMq08XfMUL7RApFT1FkMIgCI4bh+FlBfAqOHLSGO6HVwWDPHEAOBmu4Xr9Dq+BQpBWgBIQTZJWIsVgk5MuejW2tKZpYQYxzoPrmslkDJEwwgQUTvsHvCJ6MNCk19IQSEiRQFDcLwIm7Q7eWXH8nvsjNeX+cWyerOc68/tcY47Z95vty9qwTgcyC50F5CU3DGP1/U1Aep8+QBYCKzFs0ipPVJIGICIDVfT7/YnnNpH/0nbRaDRsvjGVB6IkkDibzZqGAmfqx13iFFHC4iiJWDR8+k1JSgmCQRRJnk5KSQoRj8dtUJcvVYMSMXKU1zjZVqtllRTSA6og5P1sWhTYHC/IFAQI7Ee0SDRlc1MVo0mSJyDARczOzlpUBwF77gHkA4HMteacKAn7VgDei5whEomoVCpZO4QfEYqDJ+gtLi6aZox0h1SF2U/cM/RL3W7XUBbHwjHi1El5KIt7fRD2RZGCYwalgmCwF+41VUa/B7w2yQ91Y1TH/qwN63RQYsKDkF9CKFK2BOozmArRHfl4q9WyisD6Uu3eHBe8B1UxbgARkGiCQyB1A1oDy2u1mpVPJVmDKMZBTo5zhfyEj+A3EcshAsNg0O8Ui0WrKKGSpsoBMvTVJ4SAQH7aTDg3NgYVJhwGfBLRmuvmH3zIBgKqk9Ki78FJgF4Q50EUo8vCEYC+PIcmrQ2cz2azmp+ft2uMQ0Px7bVPfqYNdkDqVq1WTWMD0pXWxHpIB/gcqSYpL9/ZaDTMDrFPrq8n0/1z5UEs4/HqFMFyuWyEMsjEt2N40Z/X2JTLZZVKJRMnYmfYDoR6LpebeHwxymmeioIdUVHbn7VhnQ6Rj34VNglGTqmQPiYuNDfYj4XA+ElVSBsQxsEr4Gi42ZQsvZH6IeGQwJTdgyCwPhtK0xCw0tpzooHHRH5IT889kMpIsuqXn4sCD8XwLtTKnhBHs8HfiajdbteeY0508y0WbBoIbNDHcDhUvV43Rw4iY24zqC4cDpv6FidKeoDMgWPzT/TA6XL96D+DJxoOh6bHajQaNiua48YWCELcR+4b4rfRaGSILwgC6+fykb1arRqiwPlIa/Nu2Nw4I6qV2B7clyTrbcL50V7iU2XIecrbiGHhK3HAcIMcK2iG8aPo2TwK9ukwfWOMvcUReTutVqumqt6ftWGdDqiFaEWER6fjkUk8HrcxnaRiRCPfaAg5y9Mn2dS+HCytdSLn83mVy2WrIODoaOQk9+Y4MEy6ionSiLW8SI1NFIlE7NhxkPA9PlXzrRHSGm+EoaDBoHROiwVpIhUfUATpD0ZLqshGpXRPZYnUj+tC5ZA+NDgJFNqezCd9JOKixcEh0MzKb+GMJXsTaJcAACAASURBVFk7CY4KxyLJWjdIo4nWHC/fBfrl9ygGUNmCpJU0gWY4B//IGqQIPr3xqmSOWZKlRl7xC2LG6dK/R4c/vwu6gWfDvrwzp+HVH0+hUJigIrBb0lzmQXONuIdc/36/bzKJ55xOZ2pqSrFYzCA4TwpAMwHZx7ydrVu3TjwtkkoFxugrYUBMjA4nMDU1pUKhYFEeIo0bgiwflML3kLpxgxEKEuH86AX/uGNWoVCYiEI4SFLJpaUlQwB8L5wR38/5cK4+5QCt+BI53AYLXsinJc1m0xpNeaQNhjkYDIwMZTMT5UF0BAovFQiFVmcdk8b2ej1TYPsnEHjFNGksBCdK7Pn5eUuRSBW8UyFSLy4umi4HJ+RL7PAZ3FuQkbSKUrZu3WoBRVqrrIGOQQlce66nNFkQoURPsYAUB62XlzSQVnGNKFL4awrKBol1u11zrv4Z8J7joQACKiXllmR6JZDnc65k7slHRgFQymNzQwZibEQpxkxIsghM6RoU02g0LDISdTB4VNDMHgHi0mVOpIKwJAqzGPuI0yDS+RydTUF7AZvdd9Z7bRDRH5Ut50HlCE5GWouoQHl6l3xVJhRaHX6GjodeHtJXCGNJNh4BJ837QZyU7tH0+FlBlMZHo5GWl5ctonu1NNeKignIFuEgehhQDoO30NSwgUg76b8CqWE7IFVJJrgj/YRLgj/ypW+eOUaaCt+CxAKn4St2qdTqkyw4d5BIt9tVuVw2J0OqSv+eHxdCgIKDhEzneEmPQYNQEV5NzP6g4goh3Wq1VKlUzBnhDAlIFB/2Z23YIV7oCiSZWI1BVdLqECWvLgY2SpPjJIkUVJ4Y9oXkHEUuTxHACUBKogAlTeP/KcOCnEjtOL5EImG9Qxw3oj6+W5IRtGhLSqWSCcqmp6c1Pz9vLQEYDzOPvWSfVIBUhGqMtMYprE9TcUKgBbQ3EIscJ6kHERgDpsJFmuplCBwzzs5XcEhLSSFGo5GNfvAlbJ74iZqcqiVoBWfu2zoYJwJSkmSpJIJMKkOQwdFo1HQpoE3aVrAd0lwCGIiElBJkCoKiuEDJGyeDMyEoeNuBXPcPcpyfn7chXnBXEPGkdaRPcH9U/LBdENB4vPaMdy9BYW+1Wi1L7blf+7M2NNIhLSkWi5ZmUbVgA1IqLxaLptr05VQqPHhy4D+CPknmbIgAEMQQeT4lILrBb/geJ9AHUB60QDQFOWAoPgIBiek5C4LV53iR1/MdVOswPpwXgjx4BS+oazQahiaI8EBnNoZHCvQt+Rk18B6kV1Tp6KGS1sa4whFg1Hw/Edi3h+B0qtWqcSbcO1ImojL3hxaHfr9vfBjH5AnjaDRqVUSEngSn9UUF30dF2iytNQjTUgEaQAhKysv19wp2j8hBpByrR6oMng+FVh8B0+/3bU4Sr5HeEQhIqXy66Dv+OS9QE6MxPEpe/+gabAok5wWi+7I2LNIhLWBjzc7OWn7MxQblYJzMku10OtqyZYu63a7m5uZs6Pd4PLbnXSWTSVUqFXNgRFeiJVUqDAvYy7O3iRw4ADYMSEBaIyiJ6Mw1wbEtLy9PtCFUKpUJbQmPfaEag9rWa3X4PaovzKKBvyC9ofOaEi6RDkGhJ6UhEeECmCFMBMWQSX9TqdSEGpdoieoXJATCiEQihv5Q7oJwcFpUg6josSFAIktLS5Z+IolAU8Nr3BtpbVIBgYhrxvUDBdLyABrAIXiVt++Xggj2/XggGl9QgOvBQTB5kpSR9BoU5VEgFU6u33i89vhjkPzeWj8Yg4szwqZIA/k+9gypN8f9nBvMHo/HjWCFwOXCSqtEMw4DB4F8n88h1gKeh8Nhg5fD4dBgK7CeKCtpYnPAjUQiEROs8Xc2JzeezY/xsElwFKQeGDk3G3IUKEwlCScBKcpx4ZRJB33+7QlmuCnQR71eN66D46FXi9YTpPa0cjAagQoXURQjxyGSWrAxfCpBJAdNkJpy/UAQIA6PDLgWQRCYoJB2Dkn2WTizVCplXfscKyVwnDHfPzs7a8jIizFJVUnReMoClT9+z6NEnDC8CBXKZDJp3B5EL9cRRAkKJkhIa1IJUBbXLx6P7/FUCIIwSBZOB+0Pe8Lr2/hOdHCcN7b2nFMkk1oBB8l5fdmZzcv4SW4IqQqcAI9gKRaLpj3hgvoZxjTPYdwYOobi5eYgA8jB0Wh1aDmREQ6BSX0eFhPBpNVyPc16kgxG45BAXf6pBtFo1B6r7OfbeuEYKJDHK7OxiXBEMaIsx+p1LPw/KY0vr2KYIAq0KaQXoETId86VUr5HP0TsbDZrKSXpGQGHChWRHQcgyTYjClvfwIpGBftZL5yD26MBE8fke/VQ5+KQQTt+FjFFCVAvKdzs7KxV+qik4kh5H6gTlMs1gQtiFjJBjX9HkAgR7NEW1AEcIqgNO/E8k7SmrGZv/U+I5A3rdKjASDLDR+HrS56+HAyMBV0QnUmDiGblcnlihCcGAOLxWp96vW4aFWkyqoZCIXvCKMQsFTD+9KVWKmt85/rHDBPRMGo2iyRLJzgvPhuNRs2xSTLURHUJqC7JniCASphjoroFJ8Gi4ueffOmJTHQooAmCQr1et0ohx0+VDIdFOgQCIEr7jntJ5qAYkEYvHgukIMkcFl3qkMqlUsnQBt/JBq3X6+ZAceiQuaT2pGuQz7wXngzNjLTqWGdnZy1FAcmWSqUJwSepHrwO9usrjNhtq9XS3NycEb44Y1/B5Tozu4lWF0SBnLvXQ5FeB0Ggubk5c+xox55zSMdDXSA+w6+BkgzcBpISadkg/D/PwELfA4ry2gjfi9Pr9VSr1ew5TRCBwFFK5WwWr+chQpLLe9W0L7tTkeP9ICYimCdnUc2ScoJAGB2K+A2ojCEzK4jvHQwG9mQMSYZsiLh8XpIhBe+kPG9FKRvNDk6Xe4HzXl5eNiEh/Ay8DZMeud++suYFhZTEqdrBxRDxCULoZFAKw3tArofDqypzHB6kOREdAacvEnC/QXIEAtAW/BuVLjYuv8t1YxPz24wG4XxRWnvNk6+68sRPSROPUab7XdIEgqWgAR/mn5WGDIOKbSQSMWQvrY2sfc49ggaj5z+iOXwDUQjCDafBDFp0HZB/pDRUizKZjDUxMqwd9EDZGOQEeqhUKnZcOAX6WPgs0J6oBFknrfIKQHcqBgsLC/Z3adXwMQRp7ZnupCXwHvwWUR6H4WXywH2IZASXGB2P34U0ZByrtIqYms2mPT3T659IYXAwpLYgHRABiBC5vSQTHVKpQ4qAIwdZUc6mzYB7gYPxuh4cBZs4Ho9bFWhqakrLy8v22yAh7gtOxfeUQfRzTx5++OGJXinEmFw7EBLXFqI6Hl+b4gh65d/Z8PwO/XqgF+4r6RTtMb6S6cvmBFkeuEiQJWPwCnoqfxwjAR6ky/4CHe3r2rBOh8oOpUs2vtdDSLKSYjK5On3fz0GhM9g/HiaZTJqMn4gE1KayhKSdCDQ/P2+q5Xq9PjFdHwfj0xKvUyFKptPpiX4XjI1yK8YFJ8IGhi/COcJlQKBTzfO/DXeBWI+xFDS5ci2ZVMgGxpm2Wi2r+MViMZudDIoCIbK5EKz53i1JFtk5bkrYpB1EVghXNgRcFmI3HDz8DIQn6Im2Fq4FjpsNTCUTxEYlk0oW6Qg9bAQxOKJisTiBJggYIGm4R1At6FWSHZskPfnkk4amQHIgQhw71yqbzWp6etr4QdC07z+k6grnhW3xHewPAgE8D04Wpz8ajSY4IPRknMO+rg3rdCDpkOKjDvWCQEg3og+9RpBhRAWINp9Hx+Nx6+hFl4N3h0MCZXkjgaRjI3jxHxHMtxpQScFZ0M4BjMap4AxwXpyXL89inKQZXrE6Ho8NrfT7fRv3yfnz+74PiEoSEnsEmaSwGCVPreSY4SdKpdIEb4OzX8/HkS5Isqc0sFnhSEipuJfMKeJYut2uKpWKKpWKnnjiCUmrgWk4XB1g3+l0TGHLDB1pbXQqqbMnw+F+uB/NZtM6//3wLTY+JDGICGTjG2K3bNkygXiQW+AoucZ8F+hdWlPC08/VbDbt+iMvQHDpK1TYDAidZl9SLOyE0RlUZD2nSc8ewY7K4/6sDet0iITe6KVVI56enrYLyIal2xmdBspMkBHRmU3HkxbgdKjO0IOEXmN9ORZyDh6FdGs4HFrfFtEOYx6NVp8o4UdkUGKGiORY4EgkWarj05D1PTFwUxikH0BOaihNDl0nckIEg4DgUNiwGLAn0fv9vlViSLlIp0BLbEJGcwDfJRnywhnW6/WJ93NOsVhMi4uLliZ59AAXxH3iv3g8PqF9ArWAQkCEVPdAuwQsSFj4NRwCokBJdg+RHPh2E7gXOEBGjRDICD5wg74wgEPnvCRZQAHt4+RBYnByBFle98iIQgJ2wwMMINMlmT0hw+C82Cv7ujas0yHHhUyW1kaPooUBkuJUGIwELIb4JPpKa/1AbBoiFxeedA2eY3l52SoLVLc8uQ3iYUYNDggVtB9jASLA4Nh4PHHTj5fwzgeHgHHSUlGr1azsS+rhiW7f9+NTUshYEBJwHXKYSM4weYyeYWccP04Cwp2/46SoNOLg4IyYWyOtaUG4FxC2bB7IYdTYfhC9r2LhzOD6fMkXFIjADjuSZAjEc1b+HvtWCIKIF64S8BYXF9VsNi3l9gUPqkWIFUFaVEB5ZI/nVnyqXa1WzVExw4eWmVgsZmVzUFm73baBbsPh6iNoSIEHg4FpdkKhkCE7rqFPOz1lsC9rwyqS4/HVGTXVatXgIjepWq1aWdxXP6Q13YckS0cwDowCJ+Lze6JmNptVt7v2HC0MnGoLVSI/bhQnAGHL33FwGKu0WtJcXl42Q5bWnoTpEY2v/hQKBRNz+QZUr0aFcwKG+/Nmvgqoi9+AD2DDQ9hCtoMsfAmXKM41zmazNmKByMl98o4I1S7Om3Pk/VRWcIaQpqAVX0Gr1+uGgEg9WZwjyBgEEQ6H9cQTT2hqasq4Kfg/HsboU1ycHI4KNTi2gxPhN7Zu3WopNik1NsZQOdAGA/P9YC1SMq9pwjF6O8epgjD5zvF4bMPBvA7NoxW+E40X9kfrDdeDtg/fxLwva8MiHfgTSnv0jWBU5MMYEJJv8mFyajYjw4zIVyGW2SxECtIdNjCiOaojQHEPZ+GCqIxgCLxGKuUfsof2h9/0SmhEdaA2qmukDIxhIAqS3/s+HJ5UgWaH3B6nicPMZDL2rHPyeZwRBgu3BTEPzwUnw3gRqms4Agh+ScZj0BXO5gf98DlQDQgJfgbCHwcAwUs1D8IWZzEYDCaI1mw2O5E2gnaCILAJibFYzDrmQQxsRBwoG5EAhMPDaWMT3EPIbYoTDIYD1XntmZc7UNjwaZDXm+H4cWwEFQIF99yPWeWeErAg9LEZuB2qWn70yb6sDet00DggK8eI/FAvIgCRab3TIAWit4jIT7TGkPh+0IGvJKCnQAyGloS/c4N8CVdaIzARkEmylE6SwXByfD+1bjwe29MFIFwZ8k06BLlYLBaNUIXb4Tv4fo+0aPKjguU5MZyyVyu3Wi17hI9XSON42+228WBUlqiYhEIhI0NBlTRQUmGi0xp+g1SDewp34VXMflOQDjIbGGUy+hcCASmgNFktYyNns1lDCtwbmogh8XF2pIte1AciA5HglP04V4hbX82DOAfZsqh+4nj4Pl9dw3GCHrnfkUjE2nD801HIHnCE2A/fzbX0HOP+rA3rdIggKCtpFUCbQ1mZSg1efjQaWZ8NJcxDDjnESFp/A1utlqEReB+0Pr1eT9u2bbO8GgLVGxnvR/OAUfv8HBISw/OkJBUMDBCDjUajmpmZMV4JUo8Kg7QGm8nx+RxpAyV20AFEJ+cB1+AbQDlXX6aGz4GnoOJGn5vXiZAyMmCdwODvJeQ2vBJkKJwD99ePLuX7QWo4Er4PFMH3wWew4efm5qw6SeDyqRRImJYSFo4IgtjPT4JDI4hwfX2Jul6v26AzjgUin9YIX9on8FBF4vu59uFw2NCaf+AAgRabA8HwPpzjaDQy2gDNECpuBIe+NQQb2Ne1YZ2OJOt5As0wLBp1LRCSSA33whgKIsru3bvthgGVEXPxHHM2CI91oecK3oSIWKvVJkr4HJvPqamU8R2M0SDfBr3MzMxI0sRm95oZ8nxPMIJYgiDQ8vLyRMmW843H49q9e7cZsec9qNLwCOR6vW7VQbgZPyuGyhGvw1mBHEAUfAaHQSka5Acq8umFH6WJwBAUhWMnveV4GHRGuobWiNIvJKwvFzPhDxEhgcZ37FOQ8MiUEjxzmii5gyhwMDh2/1gkGjIROQ4GA5uQCDLDQXOsIDg4OtCjbxdZT6hTNcSh4WA4B1Juqm0gTVA694jv45oQNPZnbVinQ+kWth8oSoRmY3uJPQQYQ8K5cWz2RqMxUcUgx+U9IJT1gkG0L8vLyxaRl5eXVa1W1el0jBj2TZO++ZLNVSgUNDU1pe3bt9tTGEkF4KKogrHh4YvQ/7Dx+v2+5ubmzPFKsjSGP7k+ngdjc0lrBCKbHsOErOf6oKZloxJZifpUU6jW8R0gERapFySoFy8idPTRlfOE94CPAwn46osnk2m6RZg5Oztr1xiHR1pJoYBAMDU1Zc4fTRWDxLim0lrLCwjRBwicE86PhtFarWYNpzgfjpvHE0maaK2BF+J4oRw4Xmbu4Jy4L4j9vD6HYweJSbJ2B9C8bxd6zhHJ0WhU8/PzkmQziEEd5KREBzgZ4CYNe9zEfr9v0QanwnAnn+5QUmSgNVUCEARPIFhaWrJyOjB2ZWVFzWbT0I9PqWhwhBwnX6bfCYMjSvFnKLQ2CH5hYcHEWjhcz2uhIgWlQVT3ej0jwvksPJBPBzh2ItzMzIz196DA5vcJBpST0Qp5tABhjQNmNi8oDrEi12B5edkiMGmgJ60XFxeNMCVFY0YQXBIbH0eFQ+Q9sdjq88z8PZLW5hKBUKLRtUmCbL52u23TCnCAHuWSynJfpLXHxdCG4FtoCHK+pYW0FkTj0RhOzv8GAleCidehgRa5LtLao5W55yBc0mFSRs9T7s/asE6HCzwYDKyD10cnvDbaDGB9EAR68sknjThjwzMtz/MmGBrkJRsep0bpWJp8UoSvIKECBVqDmhh8Bd9AWZw0AEKXSAaSoMeMjQAagLfx34nhSLLUh9InGhOcEipi0kDPBWBoRMnRaGQaKdIhT+x7xTNRGL7EoyZgP2R0JpOZuJf+s5JMFkGaB5Ii5fQbkI3H/fKEOaktiIhKIg6A3i42I+kTaUu73ValUrGGWgIE4z5IsSGzQQqSJr4beyLgECS5F15dz/FBLGOfoLJOp6NqtWqpJcgEcaJPi7En0A/Et+cFmXbAvea3mD9NRXh/1oZ1OtxEyn5UN7iJXHR/k7lBbDz6SCCNSSfYfBhmPp83w+VzVF5AVDxIrVar6cc//rH10TQaDevNqlQq9uwpojRQnxKsF8Fls9kJzoAKBqSsdwIgBNKkQqFg1Q6M1bdLkLbw/ZwXm1KS8WS+zA5HxEP84BJAEaSzKL09yvBzh0ClwHqPIriHOD5fxmejotXBFrADnD2ENtcYB8v14RwgS0m1SL/XOzVPAJPSUvYm1aVvj5G5/f7qk1+xP44NXRSPbiZF6/f72r17t01ZpEpHUcTPEAqFQhaA0IuhKSIQ8BrXyYs/l5aWFI/HjWP0o1MlGZHc7/ctdYeEh2Z4zj3hE28LYUcJkQjhybVKpWLGQmkX/QU6EPgd0g9JxgNhfKAboCkaFgyy1+vZXJtaraZGo2GbhjnEvV7PqmeDwUDz8/O2uXAG0trzpwuFgmlIaFWgU5ibPhwO7QFoVK8gzWkZkFaVwfBdpD/tdtu4LhwZERZnBmHqtS5EZdIJOA2fikWjUUvhpDVtCEjRV4dwQDgbNj5pmQ8MpHOkuPAx0uqjhnA4TAdstVqGGBFO7m0EJ6iW8Z2QwJKsD2v9PB9/HiiCsSOkDtgpJWeGypVKJUkyFTCzdrg/VNxIo7E/0BiOhbETOCcQO5kAyI4gkM1mrQJLaw97yPfEsdY3G3v0uT9rwzodKhEsnAptCvSzcPEwZNIpeA8/UY+bCvykwkKuC5fgRymEQiFzPLVaTdLaYKmVlRVzbDwxEkEiTYgQxRgTyAB9in+gHggAhDMejyfSL4xDWuupWVhYMOISfoWyviRzYBgdiIs5OXAL8Ajrn6mFnoceKfQ/OPhyuWyBwB8HjzoeDAbGn0G8Uo3y6lkiPBXDfr9vOiWOLRqNmpAvn8+bk/JtHl7c6Cs8pEHlclnNZtOcPe/N5XLG94BO/MQCrjl/4nBJX/k3eC8ql/wbQRMEL8l+h8AIB4ZGyT+zyreLeP2Wb8VA2Yz62yNbaIGpqSkj6HFkyA9ARtgYCHyf9+5+fer/wPLQDwcgrVUN8Og4AkrFrVZLrVZL5XLZoDNwEeeC7gPHxIzg0WhkHEk8HrchWKRzGNJ4PLaNOjs7q+FwdXC8tBYxSVektWdYYfT8PmjCpwYI56RVo6SjGKPEmIjuuVzOkF2pVDLH1mg0bOAX342DTiQSE1UP0gpaQHC8EJREeyp3pBMgJgICzr5YLOrRRx81kZ3/nUqlYm0dvg2C6p/vqocDooxMakcBgE0Kf0JwYKMSnLxgVJI5YVJLSabHwba8uhfb8Zoj7IVrRErpBa04A643FACIwjtekBO/hV4GmwcJMuir1WrZ6BDPeYF+SPFp7+B8yCBwqhRWSK/YK/TY7c/asEhHWns6JdGKm9nr9ax8zdxZjEdarXb5lGs4HE4818pDUErrnn8APmMQg8HABkEhBkSsVq/XrWy+e/duO+5ut2td76As38hHVQueyT+e1g924hyI4KlUao++MKo1OBe4I0hjCGu0Lb4CBBEvyfgPRGJewwJBLK0RvjhC75CB8DQZIqKUVkcv+PYPaXVD+znSnjyF++BYfdUOh8U1GI1GVj4nhaO87is4pJUgCThAHBF6r16vZ4PG/PFzbUiH+B24EoKAL8vjDAgOPEceZJdMJicehAcXCerCqVEwQTxKFY1rRiWN84Qb4zilNQfvETTOGMfKNMX91emEgv2VFT7L64wzzlAkElGxWDRCF6MgCgJluRnrJfhoMnx5FGUqhC0CPTbmcDg0wjIUCpm2p9VqqdlsWhl1fcUkl8tZ9Wh6etoedIaGBQUpx8KmS6VSFqHZgL1eT7t37zaHhcKYKhuR0XMLlDlBd5KsTUBa6w1COUuqRsVJkqlaiXJAdQy93+8bn+AV1HBVaFMoATPgjOPzCmKPlFBEo7bl2nKd2HTrBZO8Fx2XtJoO0iTsixHYAw+Uw6bYfIPBwBy5L2FjT5C+ksyBDIerHdxwe6TyoDPIZpp8cQ6+f4p7UqvVrMcMR5dMrj6mCFUxqRjnSvBj2gHX3jsRrhHXHTTNtSGdxRGTSuM2vvrVr+7z3t3QSCcSieiJJ56YqCokk0kVi8WJObZEK+Ar6lZ0MTQNsuEwNHQRRK5wOGziMGAm6Vc4HLb+HlID9DEICBuNhlZWVrSwsKDFxUX1ej2bugcy4mZTASGtGI/HtlkwSK9pIW0inUBISKUDLZF/2gKpBWiE6g3nRUkUZ0EPEi0IfBZnhrMDQcBTLC8v23FKaw2VoC8QIfohrqHfdGx2EIJPgYnIIADuq7TWo8Q994PUQH44HRAYv0lTLBuSVFFae7oG9kRAon0BZ7S0tGSVyHQ6bVIJSGuvoYIwHo1GE8I7n9bzHhxkPp+3IgjVPS9A5HVSJppHfRsFttPpdMzp0ogMmiabQNKAHmh/1oZ1OtwEGtSkNZEfeTOOBsKLC4W+Zmpqyp6JFYlEJmYEYySzs7MmGqNbmuhMxSGXy9noyEKhYMO6vJ7HczHD4VALCwsWDev1uhqNhlWSKKt2Oh2rQAVBYCkgaV0sFrOSLLobSfY0zEqlYukim8K3SzBv+P8j786WWs2WK1AniH4BammqsV/AV34EP7zfwL50hF2uXQuQQBKtUMe5UHypFPvcwLk4VmxFVFTVWiD9+v85M0eOMTIn2IzkFhwqaYsDc181ZFKjWPobjUYaC2XG2gwpcFDelDayLgRDUhZkBVRKI85KgESSC1D6kerA8WpVwOG02+30QB0fH6dCV0sZnjCfBTUqmyhDrtMpGZ6J+6psIbf7TNMSObwF9IhV8pH8lO7KMaWZQFNLc/4cfVTKL9fZ7XbzXiv5zCeKWA8yUx1YW86KI9l/57W1RHJVkMB3fhPDqywOD8d4ipo1BCwLhvsS9J9OpxudtxYSiEuSre85GAwyUMiQy+WqUXQ8HidX9Pj4GJ1OJ3kofMDBwUF6aKC2OqulVsRqft+hlmayU1XmbCaSv9LMIhakQO4qocqIjpwRoL1MGKQc8QnZ9NCNdgV8mfsHHVbi1PsfHR1tHDPEwWw+cSWYXa9A9/82boOSeXd3lwGYsunzoBr31eaFkPb39+OXX35JS0HEWs3zu1QjJb5Sj3T+9PSUSh5znsDG8W7N4bCU1J4dlKnc9qoJpFIMfv7h4SETaT2rHA/oedk/DjEU/L7bBrG1Qef19TWb4cBF6ouhRTYM1aHdbm9wDYvFIiVCGxe8VwdbfKK+DWTxm9Hz9PSU0Pjw8DBt+TY8z4nyxRnbr6+vcXJyknb/yWSycfSK8ZoR66HqtfEyYt1iAX1pbWi1Wjm2Q5BBurpfeBkLmfN6Pp/nkcKId0imEtPUFKSo0koA8G8lnQ3VarWy16jyEBGRaEjgEzg0SdaeMX10uqGpNbgTnFnE6kidbrcbg8EgkZASjp+JO7c2e0KY1hOS+ejoKG5ubjIx6BSHrK1H5DRk4T0FXz8nELufno0SEQJXvktq7pmXn2cEZQ6sgX8+n2fzMm5K8rZWDg8P4/b2Nvm7WrpBU995bW3QURd/zqKykc5Zg57IuJyh9SRDJC5/A+9MRGRg4dCMiITQRjiA0pSdnZ2dRF2NRiPPRIe2yNH11WblUAAAIABJREFUQLR+vx/dbjfHJFRJvc5CURpUj4pMyCUNVteudtkdunAvjIJQ5iifIiK9MYvFIo+VFQS87+HhYYzH47i8vMzvpSGRQuZVh3xro5hMJnn2OwTg+fb7/TyuFy/DKmETX1xcxGAwyGfmfkCrZPrFYtVDZGC8e6nkPDg4SCJemeF95vN59Pv9TAxXV1dZpvAzkbBrcBTsBCkJxn2nHgncSklIRFL1M91uN5uLIVdGxTokHmJ0eCLUV13Gfs88IIGvXoPPlJQ8n3a7nSbY77y2NuhErEdbeJgI0Zp5a9CBYhB/UAxoj7dot9tZ43J/gvw1CFF+eERqzwyJ1IaBlCoBt1wuo9/v/13WFDDrqZofHx8bw8RkyMp3RGxa3f036dQ98/5IcFK0krIqUoj4SiJSjCLWxKYApzVAqVCzJAXE7wpONuDBwUGWKi8vL3FxcZH3mh3AhhM0+bCqO92zwisJyD7fM4GEbPpqdrOhfdb19XUGFH+/XK5O3pAcItYnz0JreLFaolEFBSPXKXFdXV3FaDSKm5ubmE6nGXiVNRKBVhD3rqIb93k+X/XVcXLbH6Yqup9+ts53sr58lkQ6GAyi2+3+4wUdD88GFPktOgSZG+y/9Q/5/+o2VhZ4D4hpsVikaY364xoi1mQoiZVCQLKfz+fx8PAQvV5vwzvz+PiYvIt+HIvKArAoIiKhsixlE9YOYouFaVFpoyTc3V0Nj+p2u4mWbFKBqG5YapjvzBfiZ2rDKW7m5eUlfSp4H/fWJsQvKZ3YAaAt16G94fO0QurddDrNaXueAX7MpjRTR6LQqnF2dpZcDim5nsUuQCvnkLwMdYvFImVsyYE6Vjk5vEy73c75RMpfLSgC7c7OamwIjkoDb+34Z/xDjCsPIUvPtNls5rPb29vbCLBc31zmNel4f94q98U1nJycxGg02ugI+Mpra9UrZGiVTr0sZBk0Ys3r+HclZgUiBGUtWSIif49qQ84GO2XziBW7r0S4uLhI2GyhfeZjGo1GIjZ8jfk7i8Wqo7oe+CaA4B2Q0BQ7UicehoMYiU4F4xWp5K7Pq2MpeYcED56Z2vWMfFRquSeHh4c5RrVaGmxctgbNsqwKSFJysv+2SXAsdWoifgRqQ3wKbkoOpUQNgKenpxnclJE2sXvkOwgq1EO8oM80IE4iwA/i65Djny0bUJhEtrOzk54vQbPK4nr9eJugWdyh4IJItkZQDvW/66iP+XyeooJpgewVgmdtdfnOa2uDjkxxcnKSHdVgoeChsa7X68V8Ps//Pzw8TEn89PQ0jwP2wM/OzpJgpmZoqTg5OYnBYJC+EqMrSJxcolybzWYzO8lt/IjIzEruNbYSUUp6lrlrTxK0I9AqGavqQc3TPV2HtQtemlARixAeTqJyMsx8TJfKDO+lrJJlDXOPiPSr9Pv9DJhkfD/z9vaWhjxIA5mM/+ErEYQpc+z7utEhVJujurbrRsSBjEaj6Pf7WQ7ZUHxKeJ+qauL+fvz4EePxOI2eTqHwPARVtovZbJZWCccTPzw8pJdHgB8Oh9FutzPoIrKtR6UxWV+ghMYds+Q5VRSk7PUdue+tDQjW2vMMoGWE+XeJ5K0NOhYMwx3OQrDZ29tL4o+yAIpaPMPhMCLWJ0+C97PZLMbjcWY49TE0YfFYaBGRiKoudiclRkT0er3sUDbsSZaOiCT88AqDwSA3mCAi43l/2YvxjwQesXajOjTQ/fJv/g8EKPhdyU/nbdX5L3U4uedAphccyO4VrSBomSVtFIGjtn3wttTgYrPIzqenp7nZtU8gxI2KEEAF8Yi/P1F0uVzG5eVluoOhNhwRBKfcwAFCroJP/Wz3pTqu9/ZWQ+fquJGjo6Msw3TjC1a4Q+WMcg5HBa0JVNbOeDzOoOm4G2R49Wa5RhTAYDBI1CrwCd4CYkQk51eNkl99bW3QUTezeXMNKweqg/ji4iJPTxRgeGxwA+B3v9/PHhi1LGnYe4DPZvEw3PHsfJ7dc35+npuTFH9+fh6Xl5epUikf/vd//ze/H1m79oRR6CrPo8FTz1Xt3YqI/I4yvv6mz34L2QxfhnAXiPAbhlPVMbE6oas6ErHuw4IweIL4U8wcmk5X4179mWv2bKh2CGrXI2P7/Fo+RazPO6vyPoSMII+IDICuEXJWRlaTZbU6+F3jSiLWJ2/6PKWVz+Rzms1mGVCQ6kp/iEL5pwxzjbPZLAOVQDcYDHJ9e76QV1VetXB4xnixiEjrAbEBmSypul8S3ndeWxt0BAV+goi1SiMjQSG1/cGmrc7TzxsbsYlkq4OzSJ82q4yuv6bK2NfX1/nwDg4OotVqRbvdzqFS+BMkLom6mtJqu0KdFcQnw6NTZV+ZzcazUPA0SjumrzovRRlSFR2bBjc0nU7zGixogVz2lb29bz2GhnHQ+/hvRk5lIh4FrK9GN+WCQFDPv7I+ak+Y5+75ua+Cg8Bb0Wuz2UyVkPoJeXiuHMKeceW4BGzBHVcC2UGp1S9Um2Br35TgJSlAnzY+BE6+Z5sgbgjM7k0dXVF5vWr65PGifEm0hJLqrfrKa2uDjgzLNcsfc3R0lPN7Dw8PN7wOYLr2ffwCQs6mUscqYWpNHRFZ/1pMIDJFxwO0iTx4JC9X6PX1dcL+g4PVmUPV/GaR14wEhWgjIB1DGxHr42dq/42f43I1d5m0W2G4Ega3MB6PM6sr9+qCre0B8/k8s75rqsZAf6cMxFkgxAU3Xqq9vb3saaujIfBw3Ns6/WX5iJVp8uHhIZbLZY71cM+Q7hAmfg+RjLRWDlN36hlrnufFxUXyWc1mM5MPjmo6XR1pvVgsot/vpyjhLHNBpaJjyMTnRaxHaCgdlY2SJr6oTpU0aO709DTPKY/YpBQGg0GWTQyXEqduemoezmw2m/3jjSsV4W0m6GBvby/lPQtLRo9Yj5WwGGw8SgF+QwasZCRpUy3vMy24iEiDoM8h01Me1P8euuNeBIT62XwnzqH68eNH/Pz5MzePUmM6neY8W9mqkriVmxF4LTCtF5SLKpkPh8PkUhzVIhgJaBCJgA1pQH5QyWKxPnhvsVjEeDxOV7nAVFWanZ2d+J//+Z8kvDVSuu9mCBkPgteqHiZ2iIjIPi7PW8CBypCreDAoBdLw/OuJmEogwX4+X81Htr4Er0ped7vdbAhVRil1qhu8qlmoAqpdRavVJfz8/JyeHOMzCAq1bK2tGicnJ9Fut5MUh2BxRQyXgm9EpAnSnvrqa2t9Ourc8XgcvV4vDg4OEk7KWGdnZ7l4Dg4OsqUAwRexPk6lmu9wFnp2LKC9vb30UHhPaocHQK0wwJpi9OPHj8yiVDHNhBGRBJ/NCsLrfBZMITrytszKf9NqtaLRaMTl5eVG2eXaBOK6KW2qWp7x+ggMylGcFWLRAXfg/nQ6TaTFslAzdMQ68IPt7gHinkLHvwRp6LcSnKGnHz9+JJlsU3IgSyI4HUQwbkMJXX1KtWSv5kakNLQKIZO+kc2ehwmMkpoA3uv1sgePFYLPhyqlPKvH8VBmPQ/PiO9McKhkeDWDMi3e3d1l6VjRflUDrUeO9YjICgCnpWz/6mtrg44uYyY0Eqv6Hmx9eXmJbrebm2W5XCbcJHdbwLVPyAKyEG0anc0eKj7A4ubLGA6Hyan4DAHMYpNFlA7eX4aKiITy1SwIiajVI2JDrbPxKVoRkU2Fldz0mRGR8iofic+PWJUpta1CecrrIVOT4EmuvkflMCxqkr9eIhsSCkRUHhwcxN3d3caIjjrjRuC1YSCbylchhq2JWmry4bRarSRlq9tbEBDIlDH1mfo3tIcsxrnV5GU2cbvdzkACMVOghsNhBhG+n4jI5FZRrbJe4CMmVJ6NUmqtmAhAcYSO3Av/zcGMw8QrWrPfVa+2NujIzDXi4hUY/eqBejZ6dY+6wRHrwGBz1GZFRDI+QSkls9feFA7T2hOGR2GwQtDqdBZEeDYqzLXRQfF6jRUVfO5yBtVre0LEWuLmuwG39/dX51q7drCdqmIBQwCCIL4JOsM3IS5tbJvT3OL6HJnVnp6e4p/+6Z8yYOPdPps/cUMfH6sRrJVkdW2eEcWHxwrKE6wkKtci6CvfbVgo5/z8PCcEOnJmf38/Li4u0tYgYVG/zB6ezWaJqJQrPDC4wNqi4LOU6EpkgZdCJZnMZrM8c0wSRZYLhAyKLBXHx8eZePiJBEVrXXDkoPf+dcLAl/but37r/8CrNveRysFicqeTMGU12YBbVelTe5dkYz+rryoiEv7iP2azWfR6vZSnfYYMob6fzWbp6+CxoL7Z3BapoUyyVjV1yfyk7263GxGRi+jx8TFGo1GqIcjoam4TcKgSvCLT6TRrduc21SCj7ATnDSObzWbR7/c3SH0/q+RUXkREog9/9/j4GIPBIM+Rur293WhLsXlwH8oaiaOaF5GgBAWbXOOj63c/XYMyC0eG71HiUq+qGW46nW6gaghEAqxlDcd7RWLW73Q63ZgaCUlA5M7VktgkW9MkBQDruKLUavXY39+P+/v7/HkD+SvSMt1SWeWFRIaO3Bf3/st791u/9X/gVWt7kD0ictMyCbLif3bNRqwn4kEz5rUIRvpOZFkPnxem0Wjk7Byb+fT0NNrtdnIMyigkHsJa3S9IUnpIssoqXcyuV0CpKAbqQBRbRCbT+QwlC3Tjd2VKxsnLy8uE8nUT1D4uzm6LemdnJzuP5/N53Nzc5DAzpz3c3d0l6vLc9JxVPmexWOTRP1CgY3cFSEHs+fk5Edre3l5cXV3F0dFR+k2Ubd47YlVecInXYIbvIenjgGw6PyPJ4T4kBEfX4PucLFEFieqd8pwlErK/YLa3t5dHHgvATha5urraKHGV2oQFgXN/fz+TTLfbTZ5TAEYTHB8fp+VA0ELsM47WMri69b/62tqgU6VmpitZ0IMSretYzjqLxGLFRzw/P8fr6/p4YVl9NBrF+/t7SuOCmHECMiSeqNa9yG3uTg9UcGDEOjo6ypGpIDZ3qCDIe1KdstVdK1tXVQ3/pHXCPZKJ/S6+C8EK5Zlqp5RS5lVk4L8pZUq329vbzNDuD4T52dHKswLh2TSCEcVNOau09pxeX19jOBzG7e1tngPFPFqdtzZ9VV4qd+N+ur/QDbRaNxuUIkHgbUwqGI/H6Z2RKJRRAh0HusRVDaF1sLqjf5hKjUvBI5Kw8VURqz5A6KQ2/0LjVKpqdfB+0BBXuOCvIsAVfue1tUGnGv4mk9VcGwhGAIEoXl9fo9vtboxbwNZTO6qZS43P96CNX21s41pwft5CVj+TUMmbj4+PGTyQqdQwSg6nr4WhxMG76JWph8XJ4JDLdDpNniAisgTAUbXb7QzUCF0LW4DkxJX1n5+f832gLfd+uVxujL1wPyspK/BAlwyVuCveHcFHmaYUY5hTer28vCRakYCqyZIpMWJVZlBrRqNRBiX+k1qa6IkS5CIiVUP32JqCLjQJ67mjunU6nQzYEWv3eDWVQkmeue+jlce9hZSom7/99lscHx9Hp9OJ/f31XKSIyLKp8p2fHcQCp/4rgkBdE95Tonl5eclS7vOUwq+8tpZI1kypvkQqWvz6bhBhUMne3l7OsHFzkWM7Ozt5HpSJeZ9/VxlVvS2j0Shr/uqUBVtJ07wZ3MgHBwdxdnYWt7e3SUYKfpWQrryTUovixVQm4yv78APgsI1vHq7FRa1yvRZSPUmjXnslD2U9C3A8Hm94O5S9lVdTUkIRUFiVakn31DfBStnR7/fj9PQ0+v1+limCBnTKAgE5utZut5uJR5mnlDRV8MePH9FutzOgus/cugKbJOf+IXr15k2n0yxda2e8Zycp1sD0+vq64db2DKytj4+P6Ha7MRqNYn9/P0fettvt2N1dD/5S4lWzJ4XOM3XvJJ1a+lJB7aPhcLhBUOMLv/PaWqRTM4FNpmFPO74bpoyRUZQddVG6gScnJzmYCfxEJkIBSgqb2edErE95rGa5ahQ0gMnG4OXgAaKoIcYpDMpAG1FtDnlVNUkAqa5VwcI4CO9hEdYRnbghv4eT4QPRXW8DVZKeXydi7aCtRjOKDrsC0l+pJ8Na+DZoNTlGRDqblRaCFT8RtdFRyjZL7RebTCZ5IijHt4mSBuNbX0ojXGFE5P1R9urWhoT9nmeB98ENejZVBcUpmYcsyAhmuvwrv8gpXL1EfGzQDcRorSsJI9ZTCggVEoD7s1wuE1FBsqenp9kw/dXX1gadmh3BYlKohWSBvby8pLzoQVcVKGLtU0FCK0V4MhqNRo6zQBjWBamUUCZwPFfSGJ+EPKy9SLVlIyKyPAFvweB6vM7nGhzJaWEdHh6mgiYb+z5GSSj1arkqSCoFdMXXwAfKGxrvew2Hw5zm5ztWNSUi8lQM99VmcX8mk0lyFtQ4z5kig3THWUWsVDfJA9JAsPs8HIdg6URVBLvxndDY/v5+IgmokWHz4OAgT/9Qqvu+GnbxVkpv5bhAKrgqXZ+fn6PZbOYpJFQipay1u7e3t4FaJdbK71nfkElNzhKvMpPgcXR0tHFqSR21Yl06t75OTPzKa2uDjnqc6ctmrPZ//IGaFWKBWpDCFr3jOljhq3MZ+nh9fc1ubF4USovMLhvY0HU2DKmcIiYz2fTz+TwbUzUmem8NnxYAn4lrr+S3ulutDhVW2ZhyAcEgat0nqKF6mWrncZWaBQMbMGI97sOLRAwxCoIQmSBnM8ikNpCAZOPWhlMBXKsFLxSCVDkD8TYa665yUwQlmrOzszg8XA3yb7fbWV7N5/O4urpKPkupVUthYoPxG9o0kPN8TOPxOLmqGuQF4fF4nNYLiFywwEMKoFBpddl75uTy2jRaA5lStgoqeCvrlJpIWLi5uUnU+p3X1nI67OvKJ9nHhnOTI9ad5KPRKNGEblkviEFWQCSqed38+plcsLJaROTCNcuEpd1Gp1CQsCNW8NZZVV4MeRYp1IPgpSoIugIV0hO/QK73OchX90+PFU7Bex8crKcdRkR+h1oGVu7K/TFTx4J0TxHVylIns9oIrj1iPUFA8FGuKBGVFoJ4RWrVvFhPDEUyv7295aArpG8N1ExwxpFERH6navh0n3AmeDf8osZOgUiiMKebYhYRGwFJiRmx7umryYhC9vn0ET4lz869t/4kUPdAYoDM+Jmq0VJytt8qt6Z14zuvrUU6bgxOxo0UoZUkNgPn7NPTU8JnN9WmRNZZGMoK2YRU7Wd4Rm5vbyNiPeAIAvss656enmaGtQDUyfV4YaWBTegI4sPDw3h4eEgYz5PUaDTSNfr777/n0LLaSySr4WMEPfwJtIGfMZ+HCQ8vw9HKDCe7UozcR8GVG1m2PDo6yuDDR1URWkVHXMzEgOpMtuEiIi0MzIHV1OmzqpOc/A3hCvYCO5ez+8y5XS0F1mAtOaEVfVhEDeUbhEiBMqgMb1WDNVWS/YDviMdGoBXUPDcjcmujJzlfkuXHkZDqVARKqmQjCOn5ogAK2N95bS3SoTgYO2pRI+qq2sOrQdEg6db+FE2eyMajo6McEyDLyUT1d2tflkUji41Go7i+vs4SgMRdlS2Sscwiq1LIGL2UIqRgylcNqBGrQU4GfvveFjJehnO7bgTZGIqAHm0mi9YYUosTQalMqjYEpVp1vdr8rsUJoIKfBk9HviCZ/Z7Sox7r63k6YLE2XTYajZSqJQLPKCKSs4AUyfESQw1MpOlK0CqnqI6TyWQj2Firn5H3Z0cvtco1K+mYJ+t6jIhEs4K3g/Oenp5SrPCzgm4dsm64ur4x30WgI6jUqZxKycvLy0Sn33ltLdKRVSpEJ2Wq0WvfVMR60znBAKTlb3l4eEjpMCKydKkwX5ARSLicKWYRke9t5KTfBcHxIOPxOI6Pj3M+rwztd2t/GORWlbl+v5/qkGs7Pz/PE051giPdIYVGo5H2ekG1Euayt/vJU1Sl9jo5UACV0ZUFAjXLQc3MNoasrERrNpsxGAw2jl3BmQnM7XY7Z+UIDHWEbFVhdnd3UyGrahiJ27M0UF6A4ZGKiPx8hyoSLARW96TOjpbsJL+ItQFQ+VMRVEW9mj0Fw4i1gVFPILQl8fR6vQz+/lGCu0d1iJfnb21RHweDQTw/P0e/30/+zZ5xLhhhQhD96mtrkQ63qozLvYvsFM3NUVEatVqtPK3Sz8pOan1ZhTwdsVJinA0OCstOTFuCDLkSKWqxyZQQEuITMsHN2Ay+D6lVplOG4Ck+E39IdQujljA2ByUGp0MBMy3ux48f2XzKD6McgyL29/djMBhkVlTSKat8h16vl/zYfD7fOODNfRQoIEZlyK+//vp37mWI1vjYKv3iOHBtHx+rI1vq4DUB7fLyMk2Gsrx7RvpeLBY5LuTm5iafSXVIQz711AfPEjLSDmISAO5mMpnkOWvKXHODBGsICL8IMUdEJgzu+kajkUP+oUTPebFYxP39/UZPHFRWx6NUUYH9YWdnJ88Jq13+33ltLdIh7eFouI0hhc9ksYzy+Pi4QWg+PDzE29tbTkFDCpM1eUPu7+83mHzZo6pCEZFnDclwFqg2iouLiw3lqGZY11fbMNTTFe0giJUy3K9KCYtFH44FiiyNWMvZ7o37iTtiDlS/y7Lek+rS6XQ2TJZ3d3cZ0N2XqgAqQbyq9wgas9Ad7VIDjnYA2VbPmu/EQ6Isgg55iLh1DWKHgmqiwG0piSMi1023281ginOjQDoqGv8FafFGGWuxWCyy5Gk2mzEajRIVkqkpUu6VdY13scZdg2C2v7+/IS5AkNAM4ri28nifm5ubRNHsB5KDtVf9adbVV19bG3T29lbzYxwvo8SKWHdE2ygQgIeldECOYeNxC7UPxmexu9eBSxVaK7sEDYRnHfN4dnYWf/75Z+zs7ESv18vyr5LMJsXhLCriAbsjIjM6rkrQghTwPnWWjN6udrsd9/f3qUR5P2rWeDxO815EJBKsniSNjIht1+aYZfeQHd8G+uzRqVMBdnZ2ctwDTsLm9UwFMioi8h26kWRMRIxYT5c0DkLWx0uYHRMRWa5DPcQAaNKzVYZLMFQtJj8BfjqdxsXFRezv7+emZuWoKKaS/xHrMRPKK/xN7YRHWFM4DXuTFCpJ/v7+Hnd3d8nTQKxQEm+VCYOkeUlTSwd0LpF857W1QUfUlWEjYoPsjVjDbUEJ7Oc1qfN7ZVoIQTCRqZVDFKHqUK2Wc9fGLAgp8YsIEFoHKkTHnche4D2+B4KppkjXZDHX41DwUQIGjoQCJfuD9dQMGwma8PdKuPF4nFK4++16cEy1hKDMaVCEVmxu/FMdKeH6ffYvv/ySnymYMULqZuedUaosl8tsZzg+Pk4ODVFeFamLi4sN0yD/lZ6qas1gHFTaI/mhI0mN4bO6jZWf3Mbex7O2XpVNAvL5+flGMy8UB32af2M9If37/X6OyFAiaUq+vb1N5OrvqnvcWFWlLmSPdP/ua2uDjmAh6td2BzdQFpXVKFRQj4ddF7yjcaEEC4H9H7QXfDh+QWSSqUULenuQoKpsIqhErCVipQE1rQYiDloBBPxHCAs0lbSs7lNoqM6NqdyKoGtDmmUsc/LoKGv29vbi/v4+79vd3V3c3NyknG5TLJfLtCDUss41+EzfX3CiwD0+Pub9jYgsHXBSteWgTt3TnIr7cS1KA8mAClfnMnlmVDylCjTIE2UOTcTamAcRWSvHx8cbE/2sRY5rwa6ePVYJbaiDq7qKHLgtSuDJyUn8/Pkzk+hkMsnjfabTafT7/Q20I7hyuRs8pgWoDptDFUjC33ltbdCpzXDgnrOULA6QtM5LkREw+7LDZ+kZsUtBqFP5wWnZVqABw2VciKOOsWg0GkmCyjDV7wGae7C64SEcipXS4zOh6BotRvcK6qC2kWRdm5of4hHMvG9FPLUJlR0fGSvw+dmIyFLI/apIQcd87QeqqlbE2iQnydiY+uMMvheglcK1S7+iqKqYSTwy+sfHR7a7tNvtFAcgFirQ/v5+jqUwHQDPphSWAAVUZZ1n0Wg0otVqZXCFwihY7pH1ARkJzGdnZ9Fut7ME5VomhghG1btWiXZiw2KxSFpgsVjEz58/83nbBz9//sz1o6Ko3NxXXlsbdKrjVYnh5s/n82i327nJq8fFjcInVF8H9l8mr53kFg1JVBa3YTl9bVL8D5JY+QMFMWVRlJRg/gz/ZCHJ8BYs2A+9/PjxIw19PCau7+zsbKNJ8PO9qFlUZpdtI9ZubUQpZAFmQ4gRm34TQefPP//Ma6gmPQHY91VK1GZPiEtwMDxMicqoqEm1ohmozfPyrD/7jSCTGmCVs7PZLOcUG/3hv+/u7jbMdz6HDD+ZTKLT6WSwUd75XhQpa9kIC07n6g7nx5EkqkeqChndbjeD7NPT08bpqhGR/CLEJHm5d9b53t5erlHmVUgUL/bd19ZK5m6mDSIz24BMULIj5UImVErYBI7koJ7YlBANTqiqVk5i8PMCWVVWoCXqwGeJW+aJWE/b909E5IIA6yPWJ0harDKVBkVks5dSbn9/P4/itUlsrjrcipLls/EMnU4nF6nsLjNDijY9bwck4l56BjVjItEXi0VyF0qO6XSaAVTZS952z3Tj2yzKZ60xe3t7admn8GhaVLb6c+UDg6Z1gsDlk6qOX4GMz4jfS1nI5Fkdwu6ZeUq1z0+yNCEwYu3AFmyR6o1GI0fm1lK2Tli0dt03lQFXfafTSc6mzngW7ASi6v9xfPF3XluLdI6Pj5M3iYjssGUvRxoLQkxdoKdFCN0YQSkbK3soYjJxt9vNWcKf5fLPXhoBq9rMZVXSsWxTgwb0onT5vDFNOOSytWjrEbhKJ0HU74HyrPDgPoSng94GVvNDFMPhMNFAs9lMqbaa7pSFyE7PI2J9/IyNHRF5z3Awgl3thzKXyHva5BGxgRim02lyEfxadSaP9/d7UFREZFKxTnyXqn5WLs3z9RyqXwkPROWz6QV8Y0GqO9szFmQ9v8fHx/TmsBfwy1hznlF1IUPP1dvn+fAtAAAgAElEQVTDgGp208XFxcaMH8kJuvZ87ZW7u7t8Zv9w5ZWNjZiNiOyqRmLKTIKKOtqsFA8XUlgsFulgNsCr1ukWvUxBUlZPW7S1MdC1qfGVHUhPcBcxGrGeyfP29hbD4TDe39/Tz6N8pD5xwVJNKg/EY8PFChFUL4wg6J7d3t5uICgoR/lxeXmZRj9OXTyRLKikxe/IwIjMiLWN37NRerZarY2gbqAWqVbW9vfVnsDgVmXtWtZRdd7f1zOTudr9TEWg1pcAby1BtO6z8hl/5HdZISQe5LugSTlT+ukflAQEEfcSB4bjkkyUiIIpzhKahbzNxoHG8TyIba0cs9ksZzxB+XWdRsRGWfjV19YGHQ9QADBoKiKy/icPV0UKoUjSrP0/UEIdZSA77Ozs5JjLOtIAWVt9LBaYv/NetcPX53O+Kiki1u0anLGnp6cbzlGzXWx2SENwcfKBAFv5HOUE859xpJBfu92OiLUZzQwfAc8GEoRwMnt7e3kssk1V+838Tt0YGh8hCgEQivIc/PzJyUlyN5KFDTibzaLb7cbBwUEeP+Te4pb4dviKBHDlES9KRCRSq43DlEpGTwEHR+eecj0fHh7mcHMB4jPHNB6Pk38UWCvCEuzcT0Sx51Bd7I6IqXaMm5ubiFgf2aRk9UJBsJ9AZjXhVrRsLdWg9tXX1gYdGcPGrvIm+Y9fRKSW3arc6MYKCIha5w5VG7gMYbOou2VGaAEMFwwsXLK6jVA5kd9//z2JPBveA9fEGRHZNwXeC14RkbxPJRhlp6r8yPb6n6q0W70siNjau/b4+JiozqZjS1D62DyCJ4SJdIb0cC28Qv5eicHX4p4IaBGRM5KqUU0ghBbqM6gT9nw/z8km6vf7Gw2rECxiO2I9a9hzPj09TZMppckm5s2Bam16z+X9/T1Hjwq+WkAEB79r4xvYjxSX5KC7fr8fEZHGP0iuBsXKgeqZU9K6355x5TSrobGi5a++tjboKDcq0Yjw8vBtQtkRQy+bMaFFRC5GJyTqWOZpkQmQwxQvn4+7AE89JA5jqEFJZAF0u914fX3Nfpunp6fcyIg/x43YBNUFC800Go3sMoaS+HPIn1yssqmO7tqM2Wq1UtmQaSPWBxn2er3kclyL7wx9OGcK4TqdTlMJ8fc2mhLSZv3ll19SKalKHIKZO9YmFTjqnGQJhmysjGg0GpkwqmSMFJ1MJumwllze399jNBrlcCt8DalaELq/v9/gaqp5sfZHWX91ho4yRZmjhLGmPD9kL5RT22u8dndXjcBKLPtAIBfABFKf795phhaEGEHdLxyRJPGd19YGHQ+yukYpDQKQgOAhka8j1tIuFUWta+aO6I+HqGSlhSBgKePMYamNoPq0vFj4z8/Ps2mwNpAKLJVIpKyZFQNFKBUtWp8pc+OcXIdz0JVDNWhDicyEvrPvKLtTRN7f35PEPzk5iV6vFxGR320wGKRC43tDZK+vr9muMZlMsvMc2Y3c7na76YeB6t7e3jJAy7T4Mv4d7R61N6hK1Z6xNVH5JR3ntVTf3d1NMYLX5+npKX0vAlotuRaLRR5GSM1zfTgxycv1QT84K+U3rkywEKzcW2uUk1rvVC1/lFQQDs+NZ4rTYjzUvoN2qCNZlXnfJZK3VjIfj8cb9v0qeSJLlRpVkcGvyJRKgpoxzs/PE0kpHfy8DmVoAgJwTI3M5r+VRRZm9ZBEREqxyiCSrHKEOhGx7uOygS1uyoMWBr+r/8p7y2TKjyqV+06DwWDD6i4LCkYPDw/JmVT4jfDEBzSbzRiPx8kHyarK1urzELQvLy8z0MrMAqJS0CZB6ro2AclgMw7hyWQSV1dXGzK954pvkqggUtP2qDg2mnOgOMupSX5f2aacV1oz2UHgvru1ADX5M4FLMK6eLWtFWWz9CNbIYkHJ9UashnfVQFFd5Uar6n2DFEej0cZ5856Xdfid19YGHcQW1r1yC9Wgt7OzsyGbyqiyFX5HprE4I9YHwFEMEH8VIp+dnaXcXevw4+PjGAwGOfLTgzcmsxrAZFILDhxuNBp5FCwOgQIF1VhcFj253eZznwROm8qYAmjLn3U6nQzKVbrnZTJ3WEAX8JvNZvInEWt1QxDBl1moUKRrsNAFF6ceQCLv7+uB4FAYZGnT4KtYJSLW3fTKh2rhr8qeBOTfCF73DJ8loEOSElZEbJC87pc1iMivUr+y/Pb2Nsvfk5OT9PYIkq5LqRMROad7Pp/HeDyO4XAY4/E4g6Q9UU2a1qj/tlc8y263Gy8vL9FsNpMA11Xv+UGpnU7n2+rV1gYdCKaSaaTjutBFZzbvXq+XvEeVU2VJ/y8rVdkSc1/7k6gZjlXRtxKxqq8t1OoqrkHQd/E+glCt2ytaqaSi9zw6OspyRangvWrDqiBAsdrb28umPoHy/f097u/vczbM29tbtFqtGAwGaWATOMjBggDUJHDWl+ArGFVz5WSyPizRNDsZXRkF2guoNs9nQcA9q54UiNDwr7pmrAVtK2z/Tr6EWPh/IAeJx/D0iEgEhXwnLlSJXZCryK0mGxwgXgkCtS4k0f39/bi7u8v76b339/fzeJ6IdVnFqKi8tieosLxb3sueIJK4/xGxYT/5zmtrOR3ZG6dT6+PKtNfscHh4mPNz1KQ1istoMqcAZkbxcrnMYWFQB3s6L4cHT32heuBQ/ANxTafTdJuSfwVNPV8gudIwInLj+P42mgUvGNSOZtleZnt4eNjomlcyXF5eJkoC/fVXUWB8JygB32Cz8NzU5+S4Z/dnf38/R3hQ5JC+Sijep0ajkdJ+NdThSnA2/v5zXxvkp1FYYrm+vk5CHOKrooIEIHgp1SvPR9onOdeZzYIhghYPOZmsZkwr6QQVRknPUqK6u7vLpPr4+Jhq1B9//BE3NzcbicvnWkPMkkpi9grK4cnJSbrNaxe852s9SjjQp7X91dfWIp1er5dNgtyXFj0uA/Lg4TGhTYmws7MTDw8P6Q6eTtdT99zg0WiUN97EO9mJilQfsvddLpd5/haOqMrpMnJE5HHDCHD+n+FwGN1uN5FJVRo8cNzFZ3IRGqk8kkCIGLRJyMJKPpZ9i1zphWAXjAW2iE0vUkTkvZhOV4O+np+fM+vjK9zLGohsxNvb2yTTBQTksABSGx8FYWjHQYIfH+sDE5XD1TeDn1FG39/f5/rBDVX7AAOdYAhNMZW6xz9//sxrEfyrYRJK0cemRG+32xutDkpcqPDh4SGWy2WaOKtVQ+ChZkpo1urHx0eWUNBLTUoV0bjv9gWkKjkL5t95bS3SmUzW4yQ0wYnsVBWbk2JkUT4+PuagqopaqgOzLpR2u52SqizoM21WCMC/ZdP9/f2Uhz1EpZUNe3JykmqWnh6bygMfj8e5eHglTDuMiFz0Ahm0w/ELAdiIFicToWHnx8fHyVOB/+PxOMln/wg4kEaVWSPWQc8oVqXf7u5uXF1dZeAXNHd3d7Pki4i4urrKgFGlZCVXlXIFVX9fZyOR9iFG5RkUJEibGKlzfDQaJb9SN58NXhXD5+fnuL293TAftlqtbE+A/LjH8YbaSobDYXJBP3/+TDT7+voag8Egg1C/38+fYfT0vXB8k8kkW3pYJnA5VWSZz+c5dRPXSQCR2IwHweP43gjm7/p0thbpRKz7pjDyiC5ZwY2GHtwkEZo3xcKrbQzVqs4NXMubw8PDGAwGG8Si1oD6Z0hi0L4Su65zOp1mAKB4VLTG8zGZTDaISP82wsOQbsZIkJ7qdXp6muY+0i8ilPplI6rbF4tFdDqdPK/dPdjd3c2NJWBAExCXIO6e4zmQ17PZLK6vr7McqUrjaDTKpMFPREF6f3/PucVgPmWJe1sww3kojyllkCW+yJ9JFLWdBJKtHJFAp2yFSviQIDn37Pn5ORFsHSkhEXa73RyhYRYUBdKGh5A9K6WWQMwGEBEZaF2bhOn54Qo9E0HQz8/nq4MTX15e4urqKvk4Uvt3T/eM2GKkw4/S7/djMlkNKaqEb0UsMpUAZMPL5Ds7O/n3HnYNUAxm3p90SeKt3evGOrDW17EC0IDOZOhFuYEbAGEhB0a+ynEILkoAG2CxWOSEPnU7aVypJAAKDvP5PM/GwrO4bxAJidrfK1tZ48F46py2E4qUzc0jw89Te5aUItBAROSgcMEAd6ZTW+KgFFVUpj3AZq1I0H2KWM9WFmyRwZCCcromJMFYmel3KG/W33g8jvv7+w0+CZkMpVu/Am/tDWRBqOqsRFUbhwWvmhicKILfxL9pEJa0CBoHBwfR6XTyO3K9u1Yo0r2q/rOvvLYW6cigYKSS4+npKbrdbv4cvuDq6ioJZBDaJockZAloY39/P48aqX0uNr5OWxmT0mHBjkajODhYTbarygo+hkQdEWkMrIbF4XAYnU4nSzzfmdJB9gaxoRGNjVomIDBlkcyIc0Fk1i5430vAUcfXFgBd4RQzzmFcGDsDUhIqqPecf8qzjIiE9JAfRBsROdq0+lT0WQkaVWVTJujKhkgrEvTM8RTMgSwZSpbFYpFnrHOMex4Rm+NyoUHrAXF9f3+fAdo8aR6v2hbjWSnnNNq6r5zgTn5wH91XwY13rapg0CTTpeCqnBdI9cPxw9W1C4l/57W1SKfeRE13CD1NfyRuJN3Ozk7OHrERGNbAyxqIEMUyuaxef54c6nqMpMTwe/iuTwYxXkBpWHtrEKYQi2Aps/i32rqa0SCx19fXPKmBBOxzIyIDD0WKcmUwN7Nlt9vNDOpzdX3bbG9vbxt9Y3d3d3F4uJoPTApHsGqWjYgMBvwptS2AWua+2ICehzYPGRxvIhHgH05PTxORRkQS8s4Sx6e533XqXuWnBGcbjQnPs6kCBgQBUeDbSOX+n4nSe0O1/Fnew/hV6No6Yc2oHI75QbPZLFGL++De4+04yY+Pj6Pdbmf56nl7xsrXSroTSr7z2tqgwyQnw0ZE9Pv9zBb39/dJTPpZmdTPWwSs5hcXF8n6dzqdNNz5eac0VAcruRk3VC3sYLTNiOyj1JCiSbO4jfl8nkQudUP5VoMgUrrRaGxsbouFEqQpUoNqLWeUlRGRo0O9l2BUHdPKUwiheppwSq1WK7mPashTsgn42hyOj49zMzLsPT09ZWuCku76+jpnGFd7hAxcuShotnZvQ2k2H3TkXC/3l2Lo/avS5j35mFgrqtnO/RSkDg8P4+rqKr+L5070sGYlusViEdfX17mO8CeMep55s9nMoCHZem5UMKNBqsTtupR/nmklwiUkpZpz3QSkiPUJpl99bW15hfRSftQhXvwHXMZVArQRKglrnAOjGN7h8PAw+ZfRaJSOUghIG4DNbiP6nIhI9UgZ4JhYmU+JRBXw3SgsXKZKKzV5HZYNpVj41TQI6VRfhs3s+1lgt7e3mRkraehnK89UA/fu7m4Mh8ON7ueqzOHAIiIXe72HEIvy8uLiIj8HV6VZ1//XVo+Itbt3PB6nRM/+UEdDLBaLnOes9G61WnktUHNVKyUu0rmpldoB/J0grbyDeHFvEJ5/Sw6SG6SqBK7tMghw5kClq5K9esL4e5DqAg4yvratuIfWECRH6YyIjeZde208Hm+op195bS3SsUGRbLPZLCV0wQPDr0ShBHkIyjCSbu3cXSxW54pTeRqNRlxfX+fPWEwRkeVIfejVP4MvqcQuhFQVNjyETW3Bk7Ut5Ij1QHoeH+Wf41+VXUpANb9goA/L5jfS1OIVYLUMIDZ3dnZiMBhsBDazaGpTo+/h+8vulC6byQwb5r9erxcHBwdZppL7IUPPDgksyLo3lLFOp5OtCjio2gMmYOCHBGL31wYUsGsfng1KLIjYbDEQDKr3arlcZke/UqcOwqolZkRsmBuVxVDT6elpvhekg4/i9I5Yz0SCJiVDRLu+L1ylpk7fSamljLQuBV/l3VdfW4t0+AREaf/wtdjkdcEsl+uB5zqvZbHaSAdOs4ULPvwL/vEQLy4u4uHhISJWmd2JoLJCRCShKWu7HuQm2IyvkOk/Ptbzks/Pz1NuVS6quXE6avGISCMkcpCfiHpXm12VSBBANVBqGTAqpLqbIyIz9dvbW24Qm1DnumtmYoM+qFB17oxNWtstbCbJAnoQ6BHBRmkoG8jXkJl7E7F2VNf+vWazmRusHjoHdUDBlCatMBGRlgGoGqJTmrhvgo11GbFOVLXdwLP1XJWCrgkh7XkdHx9Hv9/P77uzsxO//vpr7O7uZlAVTCUC1+GaCBPIcLaNehxQNbl+57W1QUfmksm4KSMiCV+GP0Hi4OAgN4UNtL+/n8OrZV9zbLy3TMJMKHDI0LxBEZGbBiFIdpQV1d6z2SwXAr+Oh1mRGi6GjK2kMmoBKc41jHdRFgrC/X5/o/8K8aoshIIEpYjIAMZTw+hHSRH0qWRVvgfF/b6hW3gfXMlyucwm08PDwzTj4awYI200pLL7yTogcEZEkrO4NC0JPpMRDpdRS3Prg0PZ2oBOleoRkbyRZzOdTpOTQuYqh6Es1zAcDpMvhGBqp7vOcXwX/q3b7abRsPYCsnQ4YokYIahKQBCklo5qF7BeBTq9iwKSpKAUFfC/+tra8srGqHB0b2918Nt8Ps8WBKNIoYyI2PC3QBgWCRUiYk04G/mpzLHReUBIqR8fHxtHydQZJWDq+/vqeNe3t7eUnB8eHlK+ns1meYCbBx0RGUQQzNSbiMhMJpjVnh3XD5bv7e1tzG5pNBrZX2UTur8yvHuCgMRPQV0aEMmzAi/CVX8SAntvby+urq7y3lNmEK5KTlzbxcXFxmkffFcGZ0FTEZH3gGNX2en6qi8J8e97QzKuBQp2LWTkiHUJZbO7JxGR1+fnqFgCPoIX34VXQqArlSAd98f6ge6VshzhXNXQ3NXVVd4LgTIiEs3W1pi6rq0fZDS3PzuHZPLdeTo7H3bilr3+7d/+LW3l7+/vOUTq119/TTexo2J7vd7GA7RhZTEwU2b1UN7e3rLxT4aKWB97MhqN0rWpZuceleErj1KzK5SjBKm/22q1kp/CKeFUIJHaVwPy7u/vp+qCLFVGtlqtHMAl85GPa1e4bI7rwQHUQVVGG1Tkh0PB3XgPAZKyExFpTMMZ7O7uJimJZzk6OsrRIJ+TBKQDBTIEVtUR74Mf4p0SNHR0M+UJWu6L0hsPqDzFH0EDEasgo69MwDk9PU00AA0K5BBINZMyDuKvahOuZ6BVxVoaDAYbdoanp6dotVr58wIJJzvHt3PLKwq0jlgBiBe13cM9fnh4yHXy7//+71/eu1uLdEajUSINm3I2m8Xd3V3OLcb74HCUPNoOkLp1I+vyFfVlewEHHJcBBKiIyMyP9JMhjCuAZkjetSywQHlNkI3KNwtIprd5BC4Njr1eL9EKf0fECu3YPMyG+Kunp6cklXlnbK4q6xpz4aC5qprIgt4flMd9GTDPuOkInNPT0+h0OolEzC2yQTjPBWCmRc9IsFUKMM8pcSrxSWyA2CAhZZhS2j0zujZiXTbjapgQIQbPJ2Jt3oQOqiOdAQ9yk/i0SBAPoEMtEko3HFhE5Fzmylu6L5VzkTQEe1QC/47vK+C+vLxEr9fbmNjo/vh/bvrvvLaW0/nM8tc+rCo3gtDUHAYoWYshjaqCtKv274jVBjbYSTATjA4ODtK5PBgMotPpZDCzGKuHw6ZwfQi85+fnaLfb2UmMN1KiQVgaIbmEuaO5bCsio+hY7NVHoq8nYmX4M+mvLiblng0v81NPXDMPjrIE6hD0cQHV14Oop8x93sjVhyVjSxA8NvriItZ9VsPhMF3RlBuci+DPMwVlRETOmMbpMJg6nrcKAUo0h9pVNGjNQSV8WJ474pajGb8C4ZCklXzWoutyH+r9hK4jIn/Hd7AOrTkiQcQqeXc6nfQqzefzXIP4IMH3/f09nz8O7DuvrUU6OmOhDTDRpru/v88uXvKwwFTlP8Ta54FFmuCUDE7nvL+/TwkelPaAzNZ5e3tL1DMajaLf72eWMP+GKiWIOLjeIlcK2BCLxWoMA7+Q8ZS1n6iqKCwAP378yA1qkT4/P+eC//j4yNq91v1IztqzJGBCL0opAbLRWA1GM7j9s41eyXNychKtVitNa7u7uymB+x42mWCNJLcRBWbBSjlc50cLyiwV7rn/jogsgStHVbmndrudaOj8/DybZJHeEkZEZB+eZtiINd8GkeKrfEfTBSA6ZRcOrbbhCN71XkE00DsyHMUgMCuT8E/WIyNkt9vdaDlhrIXqeJisXcn+O6+tRTpeDHq8BIeHhxuuW3W5OSLQA+hZXb1cpx6IOphXRMbBR+B6wNqISIKPUU+JIwuSsM/OzrI2luEiYqNh1fXjD0idEZHfo5r1quOaaoaLODw83OAE8AcWuP4s71flccHS79g05sHoH2M+49+pfVsCWOUs3DMZNiISxUGiSuC6mZXPVa3DfzAfKkndKxzO29tb8k82NI7Gz9SxI7UPr5LOtSSzxihBAj4JXDKocn1VU62fWqa7bxAwf1IlcpXrBwcH2aUucAi8UBj0dHp6mqbBirghff60+nwkq4j1mNP/L1Tw1iIdLw8gYtWRbISA0gH3AIaT1zlPI9ZuT7Ih5EB2tyhtlvl83XUMpleJ3eeYY+t3lUrv7++pslkUNgqk1el0svWgBsSI9amcFlYd0mRj2Cw8RlQNCwh5GBF5imhEpJXe9yG/60J3z2tJJLtGRGZqCECpJxjh15RtV1dXGehwQ6YI2mCeia72z6qTkQ64sdp+UU2hkI+AXI2Qb29vucElE6UXBIKv8vk2qsQFASu5IV2tLxDEZDLZMIASCCAH91aJJAj7M4bQ2uJDPZ3NZjEcDvPaDfYy0O7l5SXPT8fT8WyhFfibrD3eMeujmiy/tWe/9Vv/B14gsgABQtsoOqWNCoCEIiIXEflYttBcV/t9lEM25eHhYZKLvDmCgYU3GAxiMpnExcVF9lRx6I7H443sihi1SaoDVJsElQm5XXmsz65XXd5Km5p9tT0gkpGiiO5er5eBVCaeTCbZaoIgR1Z6z2azmZ/j5IB6ZjpeRclEKodEKGs2CqKUgoJ4dUZY7fqOWLdWOOnCtWqvEPwEMj4oCKQqdWdnZ1nycabXjnafV9tSICnoU6lHufNMbd6Dg/XcJ4kAh+N5GHthzTEXUvmgZLRARGyUh3xfyHzBUoMtCR6H12w2kxdioxB0ONMFPXvlH67LXBOjRfjy8pLDrB4fH+P29jb6/X48PDzEH3/8EX/++Wc8Pj7Gn3/+mRxKRORBbzWrQjzcozwuggUJmrpAIiWHKgOWy2UqJMomDy5iPTcZtOaWxnGQ+yMiN6lgVV9KDNlVIFZKRUTCcbZ/95CZz71DSmp+tWgtZIGl0Whkk+bOzk5cX1/n9/z999/TyCbgVwVKYymEaAO8vLzk9VUupxK+VaVi9KuEZp2bBEEZVI9rw9/UiQHVwaxMs9msiarSRUSWwORmwRQSth4kLojVc+Ri91kc1xWFHx0dxcPDw8YzODo6yoZQiSsikuRm+hMMIUXXKOFCszxljKoOLJB8rK/qZauq7VdfWxt0qm8DryMACEbPz89JvE4mk+j3+/H+/h6DwSBrWbW3MkIWlxHre3nou7u7mWnAdpkRP6KcQpYqfcBrMqrNR7Fh+BP4Hh4e0g/jOzP5gexVNeIF8f/6naAO39vmxLvIgDItNOC+6lyGAF2HgOw51C5ybRaV48DR8NIoWcnvtbcJAhGAKsF6fX2djbHus/eHbt1zSBTC9d0ENWqY5y2D27R8WIIJYt77SxhOYWA78IwhESgP4qCWVgOoQOk58lopyyE4qOT8/DyazeYGFwbxVBsD1cteMZTf81Wu1+8DWfsOCGt75LuS+dYGHRupqhxuEHcmVcsxtghai46qZIaxMgMBzJJuTsnHx0dcXl4mAfv4+Lghw1a4SbGQibUyIBdJo6RmJYEm1YjIa7KRBQ3BSRaazWbRbDbzPWVJpZufF2iqNcDixSW5B7gdCp7sjxtTenHlHh0dZbOme6JEEMgEcG0KFDQlohIGumDowyFQHU1QVKq4LiVqRGR7i89Q2tjgAjnzp99XpuHClGu1hGXKc79tQN3Y1SYQEbmeBATmR94ohk0BFTmtPcX7CbrQhntYeUEodDabxenpabaf+HuWA/NzmGuvrq7yd5XWEZGBlQXFMxUYv/PaWvWKCgTmz2broz2oE4KBFgIPD+FbRwwgPAeDQfoUbHSLQvaptTvYent7mw+MekPxsYE+Kzj+jNRcLeefXcycwIILoha/4c8iIklofIJFaYEjkql+Ag/C2eZ6eXmJX375JQ2NjJiV18FrgdoOqPN+jHjIVo5Y/iQIUVlIzlUiIqVxFxQnZLRgXcnt2iZibIhr9F263e4GGS8wunbrS6nreVWVR/sHJBIRG2eEUUCXy2VOI9QYW9eg5zGfz5PUVZZHRLYxsGkIIAJbXZ8SAZSjtO31esmRub8+czZbnbPebDaTkxRQq6tZIHYvqnT/ldfWIh2b0UMkd9a603BvqtBoNIqnp6e4v7+Pm5ubbJp7eXmJ8XicblYypnocGQzyR0Ta1n2+0QF14yCG/ZwNq8Ynt0MBBmkLRFCOsg35CYZ74S2azWZ0Op3sK8I5ICQ/N3byzJCLXbPvqRSqbl0LG5kIJe3vrych+nPlG26MTF2VLM5b12WD6+my6F2PPiNBbzKZZMCPiESngp1Jgkpvz6TOTlYeek4RkYrX4+Nj3juIFRHMuY0EFlygbChEAFX+SErn5+eZKN1T/JbvM51Okx/kicKnEE6Q98rgo6OjRC2og4eHh5zNZE9QnwRsvX3aU6pL333iVdrd3c1789XX1gYd2csGrcEFKmg0GjEcDtM4NZ/P43//938zKzmwjE1eFK8DnpCzMjrp+vr6eiNLISgfHh4y8FCzbA6Ln0ICaYDQFhfjmXIQF4GEtrGqWiNzgeGtVisRT7PZzIB3dnaWDZ6VOzk6Wo04ZZUXZN7e3uL+/jOoBlQAACAASURBVD4XYfUH1d4ciNLIz4jYgPO4CZkY11BNjtBBnYwnO0skeCvo4uTkJH7//fdEWnieWoLs769OvUSKV7Sq7YXCoxtf4K7d2loplEs4lqurq7xvAq0yGjquXh62gIj13B4+KiSyIIyo9pIwoCQlclX8oHkJ0s/icBDIEevJj43G6hx7AcX39LuSx9PTU878FqC/+traoONGc5RWV6fsXjOo0mGxWMTj42OqVqJ5LTFAd94IYyPA94ODg+ReoINut5tBRXa2Wbyn3+ezAL1BVyMX1M+kXgGQQ5Y0DsHUcoNELLhV2dhiUtb43q6vqhGVH6sWBKhFRmVaM8SrKmCLxSLRm0CJKGYJkCgiIp8P7sLm1oukJKx+EgHdZuJCZzPQLrK7u5umNwEC0kKC1xM+IQ7P3vqJWCUrznR9SIjj2raiRP7ct3VwcJClk2CvB4tcLdAoh3lyfC+fU/1KEZtNxfUaPDtJTpLg54KedaUb6CYokvwPDw9zoPx3HclbG3SoGa1WK0neahR8fHxMWZSj1oa3gZ6enqLf7yfaUeviigQuQaD2sig11M+z2XrkZG118MCqd6JKzTYTv5ATCi4uLrKREefhuF9ZkWeDDKtkWSxWx6NY6BY7a74WBfdRn1KV3t0r309542XEJ6LWxvSdBUwBiN9GCQxRVtMehFrvk80fsRYPlKSQnffwfXhyXC/uB+ktwQiIrqOOChEUb29vIyLyc60zCp+pkYjpiMigWo/1oVgJBoI+FCnYKXUFiOogVx5BXDV54M2qEVSpHLE2be7v76fdQNnnc+rBhpIGVIrDwbFFrBPTV19bO9riX/7lXyJibaGvVnMlVZVdScY2orr6t99+i1arFTs7OzkWo5ZFn52oHgYEU8lYC93/R0RmjyqfWtSaSC1KUFbfkwBohIVypypdFxcXmSVPT08T0ThmRBYfjUbpSH1+fk7JFNeBNFQi+F6cw0oxAVSQrYvaZtC8GBFZXiHNp9NpokIZu9frZalCJnbPGfRwPbWp0kau0xQZ/KyH2hippPMdTYx0Pyk5lRPDP/GxQMfKXmV99VlV5KzcM4Xw5eUl7w+UYgviVdwHzxiP5VlVRZITW4LF093e3iYarerX3t5eOparHC4oW3PKM743DdM3NzeZQGazWfzHf/zHl/fu1iKdk5P1UbwRm7NBzs7O4uLiIuXPiMiFJHur73XXnpysjpDl3ahQVPQHeUm4UBWJUVdyJXl3d3f/bso+9KR2R4oqW3wP0qTPhZ4oQNCTgEF9qBZ9ZJ/jaPA/5+fnWZJBQ8oUG0cG9rngv01RB0vViXMCjPdDgisxh8Nh7O/vZzOl43I/q11KBo22rk3SqPOmfTdBtwZOAVPZhCdSztqUxoxUDsSz8nPurdLWfZL9+Y98JtRQhQ+IpAZAARgS00IRsW6ARf5CeRUZaeuIWLUDOUxSuXR/f59CivVaO9ghGqbUut4kNIHbd/6HU6+UIurjs7Oz6PV6qTgw4kVEbpJ6EiWXp0BExkQqu+EUpAqfq3FKdvL7uBZckAWNLLSZKA02MdTE8s79iq+Bjh4fH+Ovv/5KZMWQ9v7+nmc5qftns1m02+14fHyMx8fHeH5+zt+lylGEHh8f80ylxWKRx8MolaAyJLtSBCFKbfLfldcy4EpgUKYIGJUYt6mVlhGRC1zppNwlozMp4vZeX19zIwo0XOsR63OsPG+EszJdJvdcIBFGShYIpbSAAd34/3rWuOTIdgBFQhy1udZnKqV5bZS4Ao+fGY/HERFZbgmO1j7ODZqDJpVlKIiPj4+4u7vLAIouqCNoBXzJ7TuvrQ06jGwCgAV5enoa7XY7Ha5MWRYgeKoxVI0eEUlqClCQgsVfs0BVbh4fH3OT4Vc6nU6WPd5fK0XEunesWtjV25XUnk6naV6riw2cRgIiGxF+3tPmsaAFvqpkkHkN/XaQWyUs1fQ8UZCG+wYN+H+fS/IVwMF4zYhKhfl8nucsMQLWviIlDeRwf3+fcri/V4rVDC6oaTOoShC/C5OddQQ1SEpVUtY6IfAxkwpuZvlIJvV7C1QPDw9p6nTth4eHadir9gFCB4QCFVtDy+UyLi4uYrlcZoMxxF3RqdnTkDKEjQeVbJVjEhcOB6dV1WLetq++tjboICqrVbs2ccps6tSISAJSNjWaVEYiZ0JEYH81qHEYy2i7u7spTYPKkBUy14bBWygDKpJRKtT5MxQ039XmeHh4SG/R8/Nz+kT823esYyUglIODgwyG/E1aCfAvglbEepSBTIjXsRAtcn6V+h3xJp6DFoLKmdV5zVCTazI4Cp8giCHKe71eNBqNRFI+gwlPgMa/6eyvrQbQKx8RDohPR5AVzHZ2dhIFDgaDjZNUd3d3U9mJiES3g8EgS5jafiKBUaGUwpPJJNtXBCwB03qx4d2Pvb29uLi4SBW01WrFxcVFRKyJYmecQfkQrudfA75gDiXaQ5KQz/7Oa2uDjmyJ6BRoQH+qFskV4uH6PDpaHcnLcAViQwHOAD85Ock5JNVmTtJGaKrzEYMUMpkK5yODk2uVAbUlgXEQVIZ+ak0NoQkosp5/9vb2Yjwe50Lb2dnJQeY8JLxHyhpIwfeIWNf1EWvejMGNPB4RG82qSl9BshKj4/E4hsNhlrnQmjLOoq6d9O6xn4VAuXw9s729vfQ61UDmehHt2gQQwAKA8hX/ZGqhNSVRjUajbMnQkOk+QAy+C3dzVb0kEPdUO8TnCQTVx+UazV4WZK+urjLo7OzsxOXlZSaGt7e39EFBOs4Ww8mZ6yRRsaC0Wq0sI3FWniVUhdf66mtrg87Ozk5cXV1tzHhBzAkOMjEjl+5izlPlEajMCm+j/vz5Mw+olxX9fkRk8KiKjvdD0pKqbUqE78vLSwwGg0Q1lBgZ0edoSPzzzz9zVvFyueofq8fAgN4Chyl6ri9iPcJBUKlzY8i7Np/aH3rb21tPS7RRImKj/QJK8P61pMU3+BnW/eraru0BEZElDgTqv/mh2u12DrySQKApz9RmdG9YJpSIECCjJcRGKpc4EMOCEKUPF+W5W5tPT0/5LExqFDghKkqRI4hqQKk2DMICLpKrHa8lSAs0qIf9/f3odDrpHRPsSObn5+e51lUM+DYkNssHdClpf5dEjtji3isLRhatM0gMpWo0Vl3aHr62g8ViEbe3txsjJTVvknSdOSQbOhudR8Zmlv01J5qdU/uwlH1MeDahxSNbRsSGhR5PMZ1Ok8iGfjhVfbZB544jFkxqh7xrUF6YjYtfYFRDJguIft+9q8oNXqPKrZQiv+8ZQTT+MRy/qks2M7QUESkI1MkArBE1KP3tb3/b6FFyjTaOAB0RqShVU6TAxum8WCzyvfEi7uv5+Xnc3d3lmeQSEeSE3IdyoA0BGfn722+/xePjYyYlPEv1T5ks2O124+HhIa/L51UVrCp0rn1nZyfHVXx+WSvukSTBpyWA4hAjIs9b+67bZmuRjgcj2GgTAPnZ3G1CZGJEbJQQTIQyifKHHIyLwS3c3t7GfD7PGb0RkZ6f4XCYZDO/j+xT62TOYYhM9gL51dcIb8EKh0U+jVhl4l6vF+PxOElaG4p0Xet0ZLbOeotMaWmRCQJ8QRGRU/X8WykVEYnQBCDkpve0OZQNypjxeJyEMU+Tkqr2v1V+ppaYEJSN5f7iItgQIiJLrbe3t+SLlOj+gVIjIlXJiEg7BQSt+Vap5b4TFIgYSGEoAjI5Pj6OdrudJSNO8OzsLE2REkXEOhlB0BChZ1DLb+QwpGRNtVqt7P6v3p/qNq8SOl7J81fG66H7hzvLXDZzrrZyYDAYpGSOdwAZn56ectF4D9BRZpaBG41Gog0ELUJUdp1Op4mkmOKURi8vL3F7e5uIRjZ3bQLYYDDIINBoNOLu7i76/X7c39/H/f19fHx85JB53AXC+fj4OLuhu93uRk8X85+SESw24gPBTYWSZfFfNm71nNjAJF6d0JQ1iQDiOT8/j06ns6HaQUSOouHERSIzvTH4vb+/5ykNAk3tL7q8vNwQAWx65UbEKiDe3d0l6sL/IYeVM/5OOWUNQV6CpE05n88zuEZEcj9KbaWg56DcEVwjNoeO7e7uZlmGIKb81aZVnKVrozhFrBNgxKr0ZVjFAUloDw8PyXEivAVxSbmWpBqKJSMTDr7z2trySqbHQ/ztb3/LhyFr88p4YD9+/Iibm5vo9XoxmUyyvALjkZA4AnC23W7HX3/9Fb1eb6NpT+9J7eWxMPhtyJi1B4zaArEoe3hucD82NhQgI/pM6lA1SPpeyD4bqNls5oiE6q6GFquhsfbkMNuB0gJyu92Odrud96Ga2yDPOnbDsT9KCad01KHkksRkMonxeJwBgMSMFMV9zWazRCAQWR3CBh3s7u7mtbovzWYzUVJFWgIRT0/tEu/3+9kXxS+jFIuIPENKkiOXM6kSMyC4WvLyCzUaq5nEeClBy7rhnhekrT1oEkqMiETISlWBqZoB3XdyuGuwHqx3iB/yjtgcNP+V19YGHSYx6EPGt5AsBNyM7CODGvzkBElQGp8xmUzib3/7W/z66685W8eGEPA0+d3d3WVdXBvs5vPVgDAzeaAlfE/9f/6gav0HkWVJ6MTCazabeXSITXh4eJh8VW3IE3wsyIhIFU6rRQ3U7gEEUIOX0sU9293djcvLyw1uBHeilFH+csJWfsss6uVymSS7sZ+Vp4hYc3m1PQVfI9g/Pz+nMua+2Gi1/eHs7CxPlHCvbWCGOh6og4OD6HQ6KVs/Pj6mGFE9Scvl6twt1gnfkyGQKqYUsi4FNp9ViWsJApKmxlk71q2TV410wdFV3xGezwmwSk/9Z1CbdbK3t5fWAMimkunfeW1t0ImIrIFrAxrYC766yci92WyWakHEasC1RsqIVZCyQI+Pj+Ovv/7KEiIiMpPKQhVp1HEFJFCIQYChGvG+qKFl1ojYWGhUBQESX9VsNpOg/fhYNYP6by0d4L374zsruSAc5aHMy4ZAZZJt39/fs5+nGsZ03StP8VoWMlcryG4MiM0icO3u7sZ//dd/xa+//pokLBTARyT4VK5JaYijEGwJDcoFgVLwRoh6Jka2UoyU39YQldIa0zbBTcxesb+/nyM+BB7+IeM6JArSM1kcmQ7VVj8PtAElccTXk1QZ/HTXW6uc0dYbTkaQta7YJ0xCgHr39/cz2UJ0KoSvvraW01EDM3F5iBAAhUdpI3tQEyJiA5LiYqoSQCnRMvDXX39l6cbDgfzFK3iwggwzn1Eaj4+PiWIoHeRZL6WH8gQv5SC7iPUw9sVikWgNWa5EU85ZtPgeblPlyv7+fo4arRnafa0tBhBZ7Y9SHp2fn2czI67BsPHxeLwBy11H9dQ8Pj7G9fV1/p2SgqwOuZh343dtVs+j8hq11UDwi4hsn1A6UgMPDg7i58+fGdx894jYsB8Y2iYw4XuQq7WRFL+lHIR4lIokasESCq5EsgClRKRORURyX4Lh2dlZrjPJzRC5breb5TG+jrz+8vKS11dLO4JCVT+Vjd95bW3QAS2RoBGxkampE7UZr9lspjuVauGhVqShdmVAk0U9VKWAn4uIdLzKFPW8qefn5xgMBjEajbL8ImXb8Pwuw+EwWq1WEozIWqqFzaS86Ha7GWRqieX7ubbZbD1JkQM7YrXAe71eZnIBUx3/Wb7Wha1tw2ZeLpfpjlauyrB4Hu9Pcak/o+wSxNy3iLVjF5fje3oPG0K5a8MIzFy4PEgQwGAw2JCJTQL8/fffcx0JzkqwStgul8s00QnOTKVOoFC+QYVQMPHC+0VEJoPajFmd71CW8kxQ9h07nU62tSB6BVLmxuFwuFGm1aOPBXPlqEAM/dcm1RqAv/ra2vKqlgF8Kvf39wkrIQBSpACAaMYVfOYGZJPqcEb8VrVrNBolzPR+4Dvy0oaCNjwoGaQS2doF2u12wmu/I4uZcxsR2SX+8fGRPTr4F7NtZDhlACnWpq9lhg0lIOOZQG6q3/7+6kjfOmGuDi6rG8Pm4fMRBI0sdQ3Hx8cZYPBunLGuxT1B9Nv0NjXZH2qtz0OA9ax+/PiRvydhIZ0hW2sFWTwajTKw1zJIAKimSU2dEAJE4T6dnJxk1zwU5iw14gOJ3UgSiaCO7uBkxwN6jnWwWhUm3t7ecs0tl8tot9t5HxDY1gTE46gmyVqJX5P0V19bi3RwCWp76EYtDil8JrsgmIhIuzeuA/SGKpQ4EWtnKkenTIS4HA6H8fj4uGEp56uQaYbDYTZSWmw4kFarFc1mM4956Xa7udhkQwtIYJWRjo+Ps4fJe1pIsp1FJSDLZAhb2VkZV5UJZyzJxNCjLnrejdoM6bMFlvF4nCY6fJKkYFMsFotUmUj5EJcNLzHUudikfV3gFCnPTHKaTCY58qGaBKuIgLCHTioi9GfIZDyMAB8RyZN4xsqQqgoNh8MNItl9xe8YkCZASlqeiTXZ6XSSpK+TBSDaqoq9v7+nYqe8r0jVM7E/JpNJetH8Y+0zNv7DjbYwk6USlDZBp9PZgOs4HVmm1+vlEHNGLigEyqkysDq6uopxNqC397EJ8Rcy0tvbW5J1PDVV2rVgbCxlXD12N2LzdEmLBtSezWbpvxBAIBQLCMLznXxedUZDY+6PUmV3dzeJe07liPVIBfdPZlcWgfvV6AiBIvkrtyYgyPi17YKhsnZwQ0QIUEjDfCHPAZpRzkXERlMt8hbX5982u1IEcat0dL+enp4yQCL/q6MbElVu1hKqKoN+rnp5BNmaRA3X8h0iIhMJKgDPWIN7o9FI5/bx8XFOJPR53gvnBLlXu0ZFiV99bW3QiYiNYFCPYUEYW3A2BG9LrfW5NAUpi6+OcxyNRhvuVYGIX0fdTzGygVyba/WeMlwdbg3tuCYzbMziRRA2GqtjcaAExCU0hUB3BtNyuZqnDBbjlRCoNnO/399oXTg5OckeHcgFkqpjPblr65wbiKp6QXA1y+Uyfv78mWhG+SewUYGqmY1ZsKo2EZGD8D0XpaBN4jq0OsjYhqDxVblmJjlIgK9JkDQ9EGL9XGYw69W5z9pEJL3ZbJazgayPuqYqVwbhKrmtAX9eFS//SEjQrbYSv1PLT8qVZ4m/gWqgMoQ/pFe/23deWxt0bI7PzZheT09PGTzIoHgIAadm/uvr642pccqEijKYvCxAAYf9vdfrpYPZwye9K6MODw9zQSlx6rWArIjoZrOZpzjanNVIhvupG8r1CEi+4+7ublxcXCThaFEeHBxk2SEI+t6Hh4epQNV2CSWa91DeRkQGYyWXQVHaS/b2Vudl3d7e5n1WFiCj6+jXyWQ1bN0Rw7XJ1LOBBpR9eDPDqjTI1n43YysEWxuwtqJAnFVePj8/z2CJU3RfqufH7yiVEMl8WO6L585P5vtUqdxagnhYMQRjAUvZplwWON1/ycPewFs+PT3leV24LV30AjZu0Z/VY6u/8traoKMrWuAhF8tcSi8ZpC60ZrMZFxcXyZmAkBGRnhxIQNZx3g9ewuD0iEhOhLQu6yv7LBRmO4ukEovGcPj7X375JQliQcWEflkKKoPSKDpHR0epuoHYFhD+QbCucvLr62uMx+ONICZIQFgytsCJU/n4+MgM3+/3M+jIlu6nz/rjjz/y+0oMPDYCtM2mXBLUCAd6htwDCMjx0IKHdcEQavPXIFQNjZCNEkSZyN8ym802jl2us6IrkvH32miULRIbJGcMCJ+Xecp+rnJ0nldtgiWa1MFg1p/AXZ3odZ6RNQ6N3d3dJTrSVkS8UCFYU0jmr762NuiIxiAltEA5UbfyZjhTXD3qQVxfXyevcnJykm5NL8oPWVYtLqsZF/E5sCDyXMdnuVfNraZHSFLXKFC1gxkJaxDWYrEaK7qzs5OyukVsRAe1qcJiCw0iUXryAelsrqYw6ofrqH6RiPX8Z/fVNELku4Bjg8ny/u0+KiO8L8Oh2UaMlKYCaM50ncoraAzP4795WKrSVQ/bYyikYAnWynVjP4+OjnLeNo6mtnFAw17MlaZV4uIODw/j119/TaLaM/XdWQegDWtK867PExw/PxcGU65z6NOfuy6mRs9osVikqnp/f59eK2uoIrGvvrZWMq+ciz4Vjs/9/f3o9/sREfkgRXgL2wkEEZGIIiLin//5n+Pm5ubv6mrQ10Ohstj8uAuNehZA7YWBIAQZvyOryy7dbjeOjo42TkXwgH1v2ZvicHZ2tsFdQHZVoYNaandyddziaprNZloMqgU/IvLsI6UHLxRuQtl2enq60admwSo5qqVe4FH+cppToHhDqkQfseqVg6oGg0HK8EoIAVAZiOc4Pz/Pz8cH2ojkd0hZgyfHte8oOMxmm/OG8VL1vrj+eh1KnclkkrwdVO4zIiJRu8QKJeNz8G/G70qqUC7KwLpCKM9msxgOh4nyGFnv7+/TdKvvzXrY39+P6+vrDHz231dfWxt0RG/9MUyCiLzLy8sc3B6xNtOp3+v4CdmnkoV1mFfE+gQIdawFCskIeq7p/v4+MyZEpF+HGmJBQgmCEPWC6iaQGKJuQ3InCwgWhpIHkvJPne4nYNSgaC40foYTGvJ4eHhI06WNWTkq0J5XSDkXETliwVnkOzs7G6hOmcOHU8nPKsFDB8Yr2Jw1u/teu7urA/aur683uCPJImKlgvqezHp6p6Bb5QYkZxNbS4JsLbFwURGR/Inf8XuV0EcIVyW1eru8rEHlozUNVRIPatf47u5udLvdtIqwdUi6zu+S9CpfiSqAxPiO8EffeW1teVVNUQaBR2we+WJzgeGgu0xTN5Sb7X0gnYhIroTMqyyDqjyM6oj1ee12eyPTgbcWB0TkAVdvB85G6SeTzmaznMsLMnt/G0MJ5vrdLz6miMgu7tp/E7EeOl9bQpjblGmIfH9Xbf/uLZlV6cPO4N7e3d3F09NTcjXn5+eJIJWg0Jig2+l0Ekl4PkpI38mzh0iZO3FINnx1+hrjoD/O87O5amMs/kRJwttj/RifywGvJD84OEjHb12vtZ3A/fXnvuPBwUGuJYGXh4c1xPPlIIf6qHqe9/n5eXqFrEXlo/tRhYN6JJPJhN73O6+tDTo1c8mY/BpV2To5OYmrq6uUk5vN5sYRsDaKUgS3Qe0xLoNhC5kcEWmdj4hUjer7KoE+Dw/zMqfENdfjUBi6zJKxiHWCg9Jvb29xdXWVn6e+t/Ej1r4Km8YihTpcIxK31WptIDRQXPlj4QnCtYMb5F8ul8nZVA6jNsE2m804Pj5OcnY+X3flK8tqPxhBgNrjGePkxuNx/PXXXxt9R9RGA8ttTOVBfYZKMrI5QlufFx8TdNPtdrNshBogNg2/UJ1y9eHhIQNxVTGrMlU9Y/xW7AYV+QhWiHZNsVRMaIcS6t+vr685qN13pRwi56u/h9Ayna5mXo9Go42Wnq++tjboyIAge0RkmSXbyu6iNgheszODkyxkIVapE8lJUraBeGE86IODg5S3wXsLhzTtmhF/r6+v+c98Ps8NCLUotZjsnp6eNjYly3rNiDVYWIgk2yrRKiMroY2IRdgiuA2RV9YpPaAwx9bU9gnvUZGe79/r9RJxab9A6t7c3GyY29xHKKLK9bUfCM8BhSjJItajPSAym1cZVSdL+nv3VzCIWPF/SjI/y1/FEa/9ICJyfSnbmQ2riVSSZK0QLObzefJGSmgoR2JT2jvzLCISeeOLKFjWm4Htu7u7GydkWJONRiN7uvBS1El0g/3yndfWBh2wt1rzOUUj1uRytfPrXamw3MPxkGsvihtutq0TDEBlp2wiPusGiVijMb+3XC6zEdCGnk6nWU/rSRqNRpkxI9aD45n8KudAlREoIRg8hCyr3CHj6umpHA/Dm4xmoSojEYh4F8FwMpnE7e1tloDKQvdJ06FSUZDwT1VuGB7rwHGBTGliowp8DIKcxpLQeDxOedvn83O9vLxEv99PxKN0GA6Hf3fyZy2tJRcSPc6jzo8WTCmWVDMNmhIM60FNnBHr6QcCrIH81SFdEZnz0H1Ha9Tacz3VO/Xx8RH9fj/e39/jr7/+Ss4Sb0ak0ArkO1u3vFPfeW0tkSyDk/xwHZQRJGudHKjFYTgcJn+yt7eXtTHuoKo6EZGNkjgPpjCLEnKyMMBv5DQPkH6wajqzuBkKBUCqUb/fz4FcMqINEhEZ4JQZSg0nTYDvEJugYmaMf1ucFDfw/+PjI6VhG8yfKVefn5+zJNPBLEBAbRFrB7MNRskSfDXQCrLNZnOjMVSAEtiVcxyzRINqnouIDF4REZeXlxuTCq0XQVbJ5/X29pbDuzyfOs7VNeAKTWhUArleZWVt6LUmmVcZ77SiCCqdTmfjHghW7qMZPYK8dci2QLq3vu0Ta10jMc/Y+/t7zpKiopo1JLF8Vy6P2OKgM51OYzgcpnJggV1cXORpDXWMATgJok+n02wU9HCrp8FBfFybEZGbScQH42U0ikBtxdALheirmcP1694ltxqc9Pb2Fqenp4lcqDv6qbQfQDutVitLRoudbFpbNubzefZ7KQ9//vwZnU4nMy8VhfzquBrBp/qVBFOjPPf29nK0pwBgo1TFw33yXaCXynkgYqEgvxOxLsv04ZF3f/z4kShI2fXw8BAXFxfx8fGRSBGqjViPvYUS+v1+9sdpmdjd3U1y2MaMWA/aj4hEVRKWcoWhD8kLSVeVD2KSKIxVxRUig3EtrBqCh/JJaSfwVl8OdGLdVTHDs7AvjOftdrvpXDbcq6p1X33tfHy3a+v/59e//uu/ZgCIiLS04xgEnfPz843zttXSso1sbtHbNMxhFsD7+3u02+0MHjJTVXkgn58/f+aiAFfrTGfStIyrLp9MJnFxcZG+DcR1HcXa6/Xi9PQ0rq6u4unpKS4uLmI+n8fl5WUiuJOTk/jv//7v/E6yrhEV6nX3A5yGzPBfRk7I5rItlPn5xAIKHrKydjFXH0x12ipvnUlmMRvhQH7n8pV5I1YGUQPb3fNqBnSESrfb0/VYEAAAIABJREFUTUTD58RsWEvFiMhxqb6nAOg7Q4+Sju+DC+Tzqa5maBTyYOVAC1CQrANrDMcoAHU6neSXTClk+aDkCs4MnsyF1pA150gjSBQKdQ8984jIY62pjK+vr3kE8n/+539+ee9uLdKJiIS11Bf+CFxLxKqk0YdCOq8ze6GRj4+PHL9Q3cdKN07ieiqnoFNnqlAbEJe4FWWRIUpq44h1b81yuUxIa1ynYz8iIn9vZ2cnh1JZ4IPBIFqtVrYcVFs8yRqSoIh51cAaEalWUDcQ6XweleegckBAsmREpPzPFKj3ClLhv6mql42IyPU7glRVTDwrw97rz2vb4BzGz7FJfC6B+GQoekqJ6vBdLlfnhkM5Njykq+ygAAnaSr/ap0UFVUoxcHIaQyFKm9PT0/wsJap7yQGtBUWwtg/4lSq5D3ELloL6fD5PTq4GUvcN6e5+fee11UFnZ2c9R+T+/j4NUhapxVCPVDXdDYpAtlEHBJOINQQ1kAoBSaKPWJ/A0O12c3g1nsJiVZYJeghmC7luvIjIjI+38W8E9/39fTaAUkLInjqobVz9TzI3923Eej6Oe4nL+Rxolav+XiOqAei4MsY5wUZJ4LMRk9AKFBSxCmSdTie5Gtfl+4Hyng2fk837xx9/ZHBzHQyZ+ApcmMDivZQr2ix042uLuLq6SmJWxl8sFnFzc5McCFWp9jZBv+/v78kLUhZ9f0i5GisFsFrusDZAbNaVACopmI8dsXmSBX4Q7ycAKvV3d3dz7biO5XIZnU4nHh4e8hlLoNXX9dXXVqtXHkKVIiNio5PX8SV1up6s5+UBq71rbe09yc82n0zAdMYfAtHUMgJRbMGD3efn52lNp2qZgRMRG8GL8sF3cn9/nybH2hOjNFgul+kgrkPJLNCIdQNfPfFACcPtCxlVJ+xyuYw///wzkVbEuh/L5hNocEfgu3+0b1jEh4eH2dKg9yci0p8ETSFYzcqplgfXc3l5mYHY96leGoFM0Ee0GzfrNNf7+/tUKT0fjuX6Xp6T9gtSv4A8n89jMBhkEHHNnU4nx516L0iJouW+Pj8/pz8GAlK2muVDffV8GQ19z9rHp9xlmXh/f0/5PCISUb2+vkar1UpaoqLofzikY2RjRGTw0awXEQnV1bIR6z4WGQBc9yAqvPcQ1d88P7Kn2rya/T4+PuL29jbRVMTKmIdDcd31CBLlkVJBSwYUhsjz2f1+P0le3+nzeIvpdJoD6Kv13gkMuBzH4ioNlV+c1PgFaAx3wHY/nU43zr46OjpKk5n7LNhTA10TSF8NanVoOrLVizGRQiboU8lwLdfX19mCYgMj7CGYs7OznBMjWX0O8AyZ1ZvinjkXTXKSXDh/rbea3JQ5Ag/uSABhdpRAlTUSoUMZ3buIFddioLsEiPSvPV6Cs2Bfm1LREyYnVkJc0rA3kNiQ8nd7r7YW6fCw+OKMVR603iOQFpIhW0ZEwlgyoHo7Yj0ljhSNsPRgSJkR61Mr1eY1QKnDK0ICiwUMmwtpGLHmq1qtVhq/jIn0c8/Pz/Hw8JDk6d3dXQYtLRKMffU6LdLffvstZV5oC9KbTCY5lvXnz58bakfEWobWkmAzVMgtW0ZEyvXKXCNROX6VgBGRG03gFEhfXl6i1+vlBva+UOPR0aqbX48a6b2uB2UnMyM+hymvqn4SDwUIEeveamsxDgVvWF9QJB7M37vHn3uaBASlXb/fj8FgkHwVV/HT01P89ddf6ePReW9ded5KJ+tK+4Nyun52bXNBbPtcgoznhIz/zmtrgw4ZOCISfiKRKQu4EA/eomIiIy9/fHwkSvrs3PSA1NoV2iKD1f8WZc3q6ncb3cO2SesZXBYGctAiEAi8OJiRudQaL8EV8ff4+JhEbsR6vCjC1efW0Z8UvurhUYp8RkaHh4eJUpQdAqoShyKGu3JvPAeBf2dnJ0sRyiIU4z1rT1LlfiIiFSvP0dlWhmTpsVJuUoOUG9pIfP9aGtbAYM4M9KUNIyIyQSn93duI2GjghUQi1midPM/ewJx6f38fEevh8tYzFFutDJ4//5hrPjg4SNuAkpb8715Cy0pOfzb8f9q7s922tmNrwCWR6huSIqnGO955gg0k7/8UQZCLALl0I1ESZW1LsjqK50L/V6voq18+gHCIrAkYznYkcjU1q0aNGlXz6ipRj7SQc3vrWlqnw/gRawwBkSkagf5yWl3atV3AxkBMcmJaF5wnbYNExAJHoNRpAzJcUY1ztMlFYNWeKlL0t890nQ6w81m4G9fC6UA54DHURQvj56E8kLmmPpwvR6vlA1fj/9/f318oT0NxnU4nS7bK9tKt6hyVvms3tdnVSugRr05UQ2dFVlJMqUWV5oviTiuVSniPtFH+3WezrUrA6mWCWKTgKn5mUksLFQEqv+O5qg6trr52fle7go4pp2l6PNOzs7M8ehqnx3lDJSgBqveI5uyvx8fHODs7S1ugXjYQTcVSOgaR4/NoxKbT6QJ6eutaWqcDBladjL+hGRwEpwEJVR7BZvB5Bl2D8Ag8lRxlc+kdYZrmxouLi7xG16dfi64jopnhozwqBaitHLVEDA2pxuhhOj8/z5QSCnCvpAJ4GgbsiBf3VVswGGLtBePIqoZkbW0tLi4u4uTkJI1xb28v78/pnNAgI66bjDRAimmjVY6jNrVSU4vyxIacjcP+dnd3M/3Bjdk8njPkSCsEFdRKoucBLXLCNrfKYKfTSaJZYOCYazsHJwHlklewXTbEPu7u7mIymcSXL19iOp1mkJtMJhHRtDVIHaXxg8EgA0QtaJARQHC4Gc9foHPahgqVzEBAVwGFMt+6ltbpVFGWc5hAzYiG44Fgjo+PF7qWnTRQhYLSC5uOw1BGt+EolSMajQcj0wagd8UfqYgo6ferngiUNr7Bv9vwrqOWuX1uFRraMMhB6VGddaw6x5CqrH42m2Xa1+/3M6WsvTgieOUNbBrR2ibVNgBNUf9yGp4hxGKWD5RV75FimiOtvUU4N6iHRMKGeXp6Wmh09TukA1I5343/w+F5P5wpmURtm1HB+/btW767ihYimpRQe4vrq+kKUZ/TS/SQQfEcn8AJ/SC2NzY20uYNuq+ojgzEfyu920cyB6eqkj5w2HV6wlvX0jod1SeGVHtXavcyJHNxcZEEshc2n89jOp0uTPmHcERPiAi5qUrk98FU0UIUq9HN3zah8jftTq/XSwMgUtQgKPIpFStXMkDIQhop7TIfhaOygXd3dzOtgC4YLaPn4IjbOAkpo+dSRXXgdt0MRHm4Kw5/MplkgJC2QAWcIIgPsUlL/Tck5HOqc/ccauUQwc92EOzkCT+rrDkgZWvvilJ4fX09zs/PY319Pa6vrzOt/v79ew7JYkcRr45cVc11C3zSJ6nn0dFRcmnSHkSvSqJ3VQMHslcAUGHrdDqJ1KR29gXhoHT68vIyx7uokgqAPsPz+69Lr1Q0PPSfGz0jIl8k50OzYxMSQnESNWL6m7PROxMRydo7YaAShgjgiFhwSBANZOVn69nm9Qz2iIZPgACkfq5FNOVcnDZRYTClK5SChI6IbDWoEvdafSEXsOGlK36f09e57F4NmKKbEX2lH9oOiABXVl5Po5RySo2VjKl2e71e/huCE6oyPwjvokufM2cLtFAVwXLS3ttoNEokuLOzkymX++Io1tZepxSYuzyZTBIF+uP54V1sVCNYKoKFGFU8PUvaLQFN83Gn08mBYRycM98EBmV20wnYEMRdU359brU/rBYlTG4QHP7rBrNr5JObK+uJ9EY5Vp1JRCQRVzdD3VD0I1UIh6vg6KQKa2trOd/Yy3RtHFk94wjHVPUZ+ryoqisMFmHq0G38k3K4Ei40JRVQkeGYqzaDE35+fo6zs7OFY2vpZdyLig/eyCbyDKUHnK2N4/MgT2ihIizGPJvNUuAIrdTTWr1HR9Ygh70PVRzBBLdR0yTOuvZEuV/PUtCiZaoIA6KSSkU0I2zv7++TB/T5nh/u5vr6esERScMiGg2S90v9y9Hc3NxkSb5OJnD9Ec1RR3VMaW1HEdQimqmYHHFFLjjG2gStQFCRDanJr6yldTqih4qPyE8YxWMzPtBXKwNYicnHGYg8T0/N4KQqmqob7uHhIcvlzryChowbAKHX19eTHARxRZla5oxo1L2bm5txdHSUG566+ObmZmE+bkRTIdPlXMWCyqmeC6cniv7555/pvDgc7QXr6+vZ6OoPZAOBVU2HVKeWcvFKEZEDzq29vb3sY6o9aqbu2byubX19faGNxbPkaDj4TqeTVST/hq+xwW1SKRt0wbakuKpUj4+P2ddUdUcQFxQtPYQape91EJrA5f937xGRQQx3Iv3a2dlJTRM719LBGXKUiGAOlROJaPoRkfh0N5y/qh+nVit17tX3/MpaWqejdHp2dpZaA4Yuiir5RTSnfEZEllwjIiGrKCP6Qgg2CCIZtH15eckyoo2rxaBuDHA5olGlihz+tlm8+NoNrXqEe1hZWcnjdAjtOBPakZWVlTg/P18oqeMq6jgNxuzIE6Rh5VJUk2wSxl8RWa0i0XTUUzptzE6nk7NpjOwgM8B52US9Xi+nJNrciHOnsorSOBLfb9O41ohI9KLva39/P0eHSOs4G7bjOgUhRConEtHob2pvGlt8fHzMYfwRkadjKK8Lingo9+ndqBypckGs7p12yiGEgikbZX80WlLwiMhAjAtl+yqxV1dXmfpDcNLaiFjoXXvrWto2CJHWPGNRBUQ3NQ4C6vf7+bKrvoKx3d3d5dBwpUkQ1UYQiZSvkZVSNDJ41Z+zs7OIaLqy6zEmqir1s/Ag0gYKWrwEzQ3npn3C4XJ7e3tZPt3b24vJZLLAK9iMNBxgthGpRJSaJiMiPxN8l8dX/QvE4/kiQG1yHAJNED5Fq4X3wInanM7yMg+6Vhq9CxtXsWB9fT0uLy8zSGxubsbV1VV8/PgxO7OropmDqQcuGiaGN+IQpSEbGxuJTiChigqgHFINf1ZXX5sypTDSUA4L38SpQSLj8TirZnjCSiSzD06RE+Zoq3PjRCIaTo5tSNtvbm5yGJmUEIqtp8b+rL7+/11Li3R4cToUxsPzg6HI4toPpJIjeteRAUqJ+J4qMoRMpCPQioqNo4xVQaRVm5vNzF5OR6pizIDStJy9cigMXF8ToaAIDTYzIvwIFEbpu7GxkSI+6IOxSqmQzZUoRUhzZo6y5ZhMFhyNRtnaUBFE5WG8Nwjh6upqoSCAiIU4lY0rCqmalir2q9qc+XyeJ2boiPfdEZHpVkTk90AYevNcs9TPc2RfZiFzqgIaZFvbQyAjosdaTHBdnmklv7VYIIIrksNXsWVcJlJfIPAMFQAqAv3ZeeHm8DlsSvCj9bKffmnv/tJv/R9Yz8/PC70mdVTo8/NzfP36dUHPEBEJ5/UVMUBjM21eJBvpfo0ONqlN4hoYpIZQjqwK0yIaI2OgEI+ya53XA9rjJCAbaWTlYdbW1lLsB2I76dIJn3QcBHMRkfDdZmHwHK40IKKZ3cvZyvvNJ9II+/3794WB3zihKlDk+AeDQfR6vSx5RzTCQoJDz5zT0vkcESlSQ9zXShP0ZANFNB3mFelQTbuOiMgAJi3f3d2Ns7OzdAR0NHgxXMfNzU3qrCAOXBLnJD3nfKRHyuraNurz+/HjR/T7/djb28uJBXd3d2lrDw+vs445LvOePbPz8/NUJdfnwclARdW+vXO2Zs/UE1R/ZS2t06nnQKlSSFXwESpVyFTQWs4rPWCs/lv1Sapks/iOm5ubfNlUw5yPSNTpdDK9qX1iojMyU3UEwc3R1dYAGgwlS4Zb83aozcQ+ehpOuYrtGJhSM07B71fuyQauG1+vkeclFaAf4ogiXgl1fA/U9fT0FKenp4neKsLh5KSZ9YRNCuba+GjEheZQM2OgUlFbwQHCkEpBxhGR76WmKH5mZeV1AqH3Wwe9RcTCcDBpSR2cVXkwFS3Xtr29HZPJJBFFVTr3+/1MC6F6AU8gFJQgQM+Hc5G617YKAdnzRugLeiQLHJFnaYJBROTcnreupXU6XoyNQXgGuiulihZ1ihoHQN1be3MqwYylN8RKbxfjhGQimil4FQngM+pJo1VbIgoaX8HJUBM7OUC0rQfBgccqLgjCiMUxnlBFHTC2srKSo03n89fTJ/AJYLpSv+ehemPTIhER3ZUn8D7cs8oSXqjb7ebYVX1WNbpCAlBIPftJSb7X66UDfnl5yQ1Q+7Q4URUuf2wk7QeqfFTOvr/qbfArnEbtp/OulPf9LV0xf0f6XCtZEc3JrDs7OwulcQieUxcYpJ+Vu+HAay9h7SXzniAVUg22ji7wHthBLb5QhkttocW3rqWdkfzHH38kyqjqUcaOcKO+vb9vpvh7mF4yckz0MVBKFamWBuusXz1cqgBSLJWwuhH15kREaoBAXJWrm5ubODw8zEjvM2xABOfq6moK2KA76ApqkRZCBzgWKDCiOQUT7OZI6UNqk6M/jE/66bv153CkEY240b1U7sm7gjhns1k6WI24urZtJBUsFSnP5fb2Nj59+pSSBFyKe1OiNh+6Vu9sMMUEDoeMwruWQkmPITHXWwlyxHR1DlVoV1edJsB2qJCJR6Vn29vb2egJddY9ADn9LECVxkOvzpnf39+Pb9++5Rzui4uLtGuSgM3NzTg9Pc2+QmeukQX885//fPPeXdrqVbfbTSfhJdEkRETmxhGvRquTFp/ByBgq32sjemmcAyJTelZTLzC0jnVQAbi/b2ax0I3UXBgHJa0ShUTYiAb228TaOUDqWk62iaoS273Tvqhmgcr4hsFgkAJFTryWc2v5lmPlmDwDm0GlDbqaz+cp+PP9hos7vgZqxUMoA3t2EZGpaJ2GaPOdn58vCCFtdpva+5EKQpZVaOeZciZswjvzWeyN44dqKkeCsKXmJYdACUB2tTrEdtgpxfh8Ps8qKoTHhjl2aEXvFxQs9YNUke5XV1eJ9CBatqaNxbXUVJYzrXqrt6ylTa8QWXpjqkYD0agU2e12kwQDW+fzeZYHpR/gL70K46uCQFEALxLRCAZVo378+JEnM4owNA5eVI3WVfzHoYm6jBHHI5q5togmFXRfhGqqZ1BGHesBvaloRESWc0Vn1ZBKMDpeWWld2Z1UQfTnAPWKkefb6BGxMKvHPUQ0M3mkOriG6lw5ViQ8Mry2aEREclh0JubAQEgRseD0peLeNeeE9IWKx+NxoqqqXyEy9B44/ypKrE4KCe9+oFs2BVlXnoVDrvyMBZFubr4OpNemwlFU2yVh8Mz9m5MyqtIbmpM6SyF/ZS0t0qmpCcOX2z48POTICXmw1MpaX1+PT58+JWrg8RkXJxIRC1JzhijyR0QShFSyIH3VktQWC4atTQIasGlrOlcbK+skPg6P2lcFTv8ReGxgPUeAx4mIBVJTlIV4cDxm+/z48SOf72w2W9gsNDU2Dg7K37RSHLn3V8lqVUbXWI9NiXgtrXvGUsTZ7HUGtsFtNRXE5UA1ormUDjEtzcMr4fk4Vo3CVbsjPeSAvC/fa1IAArdWetzj7e1tDAaDmEwm6RDxM1tbW8kfQtgQkqBk8iLkcXt7mxMO8JecPB5P0HN4Hzup7wHPwxGTbHDInOnq6urCGJe3rKVFOhENAScaiG7GYdrghlx7QcYEHB8f50YSTUQb6Q3eIqKZjxMRiRoYozzX8HRaEajE+vLlS+bvnc7r7FslWYhmb28vo4zNYhawRj5R2iaEZHZ3d2N/fz85JlUTLRdUwbWtwnHFuAo8hlTQZrIROXqaJg7HZ3KwnBA0SU7AsUrHamVPKRw6Va0x+xfpi+C3wURjwkpRmfOjMWIn3k8VTPr/BCjRHr9Sq54Uu8rSOCnOtJK1RsJ6Xhwbm3RPqk0qnlpRcCvejc9nR71eLx2Hytv6+noGYwECHwPJC3KQcf1+n4+shkLtDdzTr6yldTqdTifLsdIK/TbSJOhBNWZvby8jTx3EBYJ7cfJ/VZLKr0Ae5+fn2Q0dETmreDAYJE8i7RD9RRkvdHNzM8vgyvQ2q7LoxsZGnrxJQFg1KFIYVaM6vGljYyOGw2EiPs4HnyDVQYBW0pMTs2GlCoSCDNsAsIhIlKm3i2FCH5wBY+bEncW9srISp6enKVFwLVCWauHt7W0iJ60To9Eov0c3et24h4eHyYnhQ/AmEKmNJeori0dEvgNixpOTk3RstcrjnVX5AaW6qqbnUJEb54xr45R+lnI4QaS27Pge17C5uZkO1udXNbIiCn6ylsQjml4xhZY6aK2m2r7vrWtpq1cfP36Mo6OjPNHApoAyvBDaAinIz6VOmhYvsbYf+G/KTnJ4aKiWemupeWVlJc7OzhaOO1YJi4iUuoPqP1c1pAXmBPl8ZdWqUQJ3e71ebraIZni7qs3p6Wk6ad9VhYR6tZCMEc0mrEhNH1Y9ofT5+Tkn4EFoSNOISBGgVII25uTkJDcixyvabm9vx3Q6jYODg3yW0F1tK4AmbeSLi4ts3XAtuse/ffuW1UbErDSZk6+Nl94pm7E4hp2dnYWTTDl3zo0K2HvXL8fJQAqclE28urqaEyIhKLyRgMqmvD+okaPx3gRM1+J+kPMvLy9pi+YnsT/P2vv0HSQd/X4//v3vf7957y4tp8MInXGELBPpvZBv377FaDSKiMiXyPAI7OSuk8kkRqNRkqcMAcohPRf5NS3S/9RuXzoXjsdAJNWJiMjvB7uR4doiIiKGw2Eigr29vazyMALH09R0Ym1tLRGUn/3tt99SfOZ+DPyuTsg9SM1cJ9TC2HA+NXXCh9WTQaGWy8vLfBaz2SwRX0U+FeobkPXt27fY39+P8/PzTAm0BtBhCQzKwzY9Z+i9QUrQS31GyFmpnwqdZ18LD/rUPGe6levr60xrIajj4+NUm+sJrOp1zodD8bscnXsQmKA0yAS5zFl7N9C7Uj2HxjH5G4cEzeDKcJqabml9DGODvn5lLW16FfEaORzPUis3UgYcg7SjRgaEoihiI4hQuomhDKmDCDSfz/PspEo42/idzuu0NvqViIacY/REX7VKQEhINBcRyTusrr7Oex4OhzEej1NCX8u7Hz9+jL29vRxK9fvvv8dgMMj0ivYFUkNIKn1XRCYa1t4sLQrITaLB09PTmM/nMZlMMnoa9C0S+25pymzWdL+D+ZwqjszPSPWenp6yn87mkhLPZrMchLa1tbXQxGjECAcHmbgX0dtm4nxWVlZSJoDAPTg4SDkEB315eZkDtWqKaeSnTR4R2fHtGVd9EBvtdrtZydKGEBEZ7JTB8TUQPacrvVQM8G+4Hs/GvVN0S/MtP4e68A4oy39lLa3T6ff70e12MxorlXqZNDwRDRwXeUUhoyxrRGPAEZGbCvEW0bRfKBlTtXohP587FdHMQcY7adpUbmVUuAeT4D58+JBEL8jLEdb7ZZgcHbjubKetra0Yj8cxHo/j8PAwIiKNE6nqund3d2NtbS0Hl0kflfNFWc9TM6b7sIk4UXNhQPi7u7tsbfCzkB6U6rgVyEz5uhq67/R86+iN2WyWUwZUqJxSak60AeW9Xi8dax1fijtTzYuIdAbT6TSdE4KbM8bD1KmRBuFjMqSDGl0hQO8Rao9oUlxNtu4fYnfd9DhVw8SpQE5VYe2oG7onaZQjs6WuVTpR36Nr/ZW1tJzO3/72tyQ7Ly4u4ujoKEcaYOgjmuNm5a9mqHgh5p1g7CMiDR2xGvEq9wdjIyIjB2RTFchgf0SkuI3svY4T8NnV2PEy/X4/RX1Kqhzpzc3NQmvF9vZ2/Pbbb8n3bG9vx/HxcUQ0w850CIvCiFo9P8Rk6+vrOXLCZ9WREngcmw060HkPKXGwP1e4oD38RkTkptBhD5nij+iN6Es4E6dG2Aw+D/eAn5MSEA8Su9VKje+vfBTC9tu3b4kM2QEb4eChI6gGuoSqIQpL4MAD+VlpljTy7Owsnx1SnmMSICEcNMPT01McHh5mH5jUvvaSVcmJFI8t1yArQxDU5vN52sfq6mr84x//ePPeXVqk46GIKviBmoZIsSIiBxwdHBykilcOzHgNs+LdISXNcvp7qvQcTyTiiBA4jm63G+PxOCIiS78RDfqppLdNs7Ozk8OrVJ9eXl4Sbbg3hsN50KtAEQzDJsJNIJAvLy8X1NwRkfk8Z00wtra2FsPhMCX0letQSXp4eMg/KoHQiPK21KLqjVT4RO75/+tz04qh4TOiGVPrUD2iOW0LHI7+K99xfn6exQStEKZFKp/XCqCIb8NFxIKivapybcaIWBh1ywE9Pj5mmk0MSkqhSqa0TftDsmCkiEqlwOkddbvdhXaVyjNB4Rx1lRBIq1dXm7PJBcHV1dXkkSBwx2Fzrpzdr6ylJZI9cCraiEgDr5P65LX0OHVKXR3+HfGKXuhulJfNihkOh2lolbyLaE6XhB6kOGbSypGRiZVAlJatra3FeDxOo6zpBuWozSqFxCfV6sLGxkYK1/w7khY/QdQlRRkOhxlRa3uA/1+1Bq+lnQMaQdCK0MrgDBepWVMWVRgBgvhRY6R7gyApzSGfKsGndyIpqCVhaKaSxqpOdZQnB4arqT1M0gxyizqTSbW0phtVnUxRvrLSjA6pQ8EUHTgDKQ70XOUT/rdNbxAbBIx7ubq6iqOjowXhoEosO4AWBU9BojoshDre7vj4OLmqnyt6b1lLi3RAZ9CRIYPPEZHaD2pWL0AjHSKZsYPC8n3EJKKOkXjgnBpHUfuDEKeiT0RztEvN+6Ezgr5+v58qYBue5qj2E9X8Xop4d3cXnz9/XiBlka5VjCdaK1erBHG+UquIVy4Bd0Yz5P4iIp2491GVy5eXlzmCQrWrVrgQkshjn0GDxNHZGBHNIYWcLIe+traWBynqParCPVEdQuTY8We4FRuwngvGmZjZhMTvdpsZPO7ZM46IdHA4FwhTqgLB1JGh9Y80238j1WmNtKVAywbfn5ycpIOBRuqewJEJopWklsrggfVGAAAQZ0lEQVTOZrNMqVdXV/PQA72K/xudztIiHQ+vRlLQO6IZW4HTiIiMaKJMZe+1JFhQigpJFd7J5WuPUERkFQlSqmVKZKHPqErR/f39rCg4DK72TlXCtG4iObzSvXxbOjIajbKlAEEsvSIw9BxsatFuc3MzBoNBzOfzBSGZGUUQ2/n5eXINtVQM/WlVUP7GaUmdkPgad92nKGtspnYFJLb3rpscIuTstYEQfaqGUXVDWuzI/ft8gQYPZYSr4LW1tRXX19cZhLRsQKPem+DmeqDOqoOpY08EKY4cOvPupZYCqhGtEZFpsrSR3UFJgkUVibpOkov6b47qqTan3K6i+CtraZ0OlLOzsxM/fvzIaW24Cw9Y+mGTUbbiQ7xID9zL3N7ejouLiwUHwCB5fb1Q+AzEtmgnLzdCQN5cjxTWILi3t5ecSZXxc2TKzWafgN5VFEaFqsN+Op1m1aNW5dw3dalncH9/Hx8/flxIAUU9G7DX62We77xywsmqj7E5RX2pgUDhmupmh+IiIh3YdDrN34WibBIBBamqgvVzCkUg6JlLUSsyZQNfv35N+1DN09cldXWPOD8plOdF4wMFe9ZSHE7Qs6j8G6fMMZE1KPnjrcgrBBMcloAnSHq21bnXCqwAwf45+4hmwgL+SPB2j7W0/pa1tOkVuFgPzKtGXIcuzefz/G88AcP1uxyVnzGo3QsArRmOKMApeJErKyt56F1EpP6B2I/GwqzhwWAQHz58yJ6ll5eXODg4iN9//z2vHdSVm1eBW9XeiPq0MRGRlSRRGlHrWqv+YjAYJLluU25ubsZwOMyKjKgORe7t7UW/38+qmw0NpUGWBqtBMQaNVa5JKoDcdn9OkMCFiLinp6dZkoaCpAOiu3Sk6qUMosfJ1XYPFTynkJ6dnWU/FucT8YpqEboclM3t3/3sxsZGogIiQ7ZAwe69VoRMUqDNhGOU6tdyeSXBfa+ztsyoxh1FRAZiUwA9ayi8jljZ2NhIpyOQcJS/spbW6UQ0nE1ExGAwSIP2YkBqL6mW00VGZGYte8ttQVI9UloPOJlutxvD4TBGo1GWhVUTdnZ2YjAYLGhW9vf383PNu+VsTk5OYnNzM2eWzGazFDbWPh0lUemkXF/KUo0Or3F/f58pSEQzMkJvWUSkg4AwKL05VqK7iNfU8+joaKGxsF5vPUFC5FSm5xQrIYo0l0rgMlQZEaW9Xi/RzWw2i/F4HPP569gJ1S3PAaqbz+cLlS+nvEpD2AEdiujvZBAkt+BWe5Q4D8iQPdZyvJK4bnjcDW6HI9P/RoLgD6d6f3+f77KWvAUX6Sxn611ERPbm1RnY19fXqezWCKoQsbq6mkUFaavghgeVafzKWur0CuJA0ILAXkiF+SJuROOsal79559/5mgAmxs/UyXxjKv2p3Q6nTg5OcnPNgr04eEh0UzVjhwfH8fu7m58/Pgxich6JPDz83NugpeXl5hMJrG+vp5oQHpSrwt3YpaykQzKycPhMCtISNe//OUvmU7UY2GI5WwwJHdNye7v7+PDhw+JslT1OByygpWVlYXjgmolEWENfdaN61o1uhoJSqgWEXkwnGgMFeC4CAMdfIjDOT09TYei+bbb7eaJEJeXl/H4+HqkjetGfOMNa4k6IhKF4dikdhGRaR2brZU3z8j9On4HUup2u3kdiG6SBAjWMDSppJ/hNCA+wVXVjoN/enrKKq1n6n14j3UAPsKaI37rWlqkI1rU4UPmwIhEHmh9yYwIJL25uYnr6+t0NPpNRCQpSBWpycNrh3ft9B4MBrG1tRX7+/txfHycjZoVKR0eHsbh4WGsrq7GeDxOlGET0m+4HxwOHY1oXnupoBTlbMPi5/PX5kbpw8bGRhwdHaVzRDjrpD44OIjRaBSDwSCHXnGGepSkZAcHBzEej2M4HMbW1lYcHx/HxsZGor2IBgnYlJoKaZ+oljko3dacngDBMYq8BwcHed/QnuqaJuDaKsOJ+8zpdJplcKisTiww2mIymSRnNxwOs0eJXiki8rqrgrs6Jn9XJIsgJkCs3CP7lf66ZhyM9Nwz1mOmYx+RTOYgBa3vkQqd/csW6mydGjRqcWNrayuf/1vX0jodUVPao2u83+/nQ/KAIpojRSIiG/Pu7u5iNBplVGe4ysg2OyQhLak6GdEASVw5DMSqiD2fz7O1ISIWOt+doeRalF/rhMKIyGsClWmIwGI/2+l0ckN9//49dT6ctI3u+2x61xYRmfbUqp+epl6vF3/961+z1L6zs5Napip49LxE1tlsFkdHR5k2KMl7R4hkQrT7+/vk0zihOptaGrG9vZ3TGm0qZeeNjY08M6xWhHZ2dmI6ncbu7m5Mp9OYTqcLQ9wimpnYeD7/v65s5eder5diVPO16V0415oW07vgmsgKIiLvwf1XUprdkBtw/shvDcCep3fAXjgu3B0eSAoukPlMLRJoClW/l5eX/z6kY0ypWcVSEhWEOjICByDVimgMHKwVyfQXdbvdjJB1OHYdW6kCY+YOfqNWCkQN/I9NT3k6GAxSHToYDFILwQBcm+iqSnVycrKg1eEUGAcuidN7eHjICsva2lp8+PAhK2e7u7txcnISHz58iF6vt8AHSCeq44HEIprKz87OTiKm2hNEiNbtdpNjgxBWVlayYbWSsgIGZ6+UfHd3l+jEezIUTHCAbvFgV1dXucmgC89ARZFY0nfQcon20GGv10vHERH5ztmRYgZ5BL7x6uoqUTCyWbqtPM6+KtGs0dR7VM1EuGtZEFxrSgbtqAjS1QhKSGIBodqO9y51pni2J56enuLz588LGcRb1lJzOh4WzYdNCIIrQ9ZREhGRRiN1YoxKmEZlOhqGs4JqbApRnbFX6b9cmr4DChqNRlnO9wdHgTQWof0+IlZ0rpUdke35+fXgPxBbWkTi7zuoiaVzoL+NL/pFROpzCBoPDw/j+vo6S6muD0y3CSvp7TlHRPJuKiaiddXR4KlsAqmzf0NAR8RC9IUElM3dIw6MNse7Vr5H4kIctWVE5dJnPj4+xmAwyPI1u/L83KPrgKYJHe/v76Pf76cj5SSgOJ+l3aKqzDlZvJd0UNmaY4dilcGhProiC++DKL64uMjrhcqps627u7tsBK5VtreupUU6IKiyKwOqOoP7+/vM8fEdiGFOg5H5PPm0qFAd0vfv31N4RnLOeCoXUaO4lIVDgcSIzyKaeceuXSpHKOgMK5AXka2vimFJ1VTETLlz3SJjr9fLQed4i5eXl+w9+7kKNpvNkqzkIKRGT09PMR6PY3d3d2GIWO20hvQ4AHOEI15VsFAr8SHykmMTZUX72ipgU3D8HBPEdHJykmgXKn55eclKDITb6XQy5VTGJrwTTKQWAp5nxFYQtVDm+fl5asNqIMIX0eS4BpWu2WyWQj8oJ6IZnl7V91VBDDnhgCAeUgK6NjKK8Xi8QKCTG9CbORnW9TvET1D5VaSztE6nysdFbcYBftYI/+eff2bEQ+oh8GwypGy32825OZULEHUvLi4yLePMcEpgPqjsdw3UVnqs+bKUj3NRpmbYg8FgYVymKYH7+/spg4+IhehTDYkmqZbWIQ7kZtXeVMemJA1pVLKUM7fRu91ultINsEec6oHb3t5eGN5V05jHx8cYDoc5xqLb7S6cJBrRDFIzwoE6lqOSWu3t7cVoNMpxmypXRsniUFQFtaZIIdgItAZ92my1pC1VV13Exendk2Li6qTpnz9/znvCPXLMxqZAazZ4HUMBWVbVuPk50DUeUpUNR3Z7extXV1cRESmRwD3ho/CSHK5K4tXVVaaDv7KWdrTF3//+93QCP0NywiYPxkyZbreb5BcuhJF+//49UzJRgwL35uYmRqNRzsxVWu/1eqlKFm287K9fv2a+j/wdDAZJeI7H4/j48WPs7+/Hjx8/Yjwep2ZDdIyIPNUCOjB2ErqJaByMs7VtSAjGGImTk5O4vLyM4+PjODw8TON+fn5OdITsvry8jOFwmIiwQmmRD9KQTkwmk/jy5Uv8+PEjTk9P8150s4vqPsO92CRQHo6ocnAITsRsHT2CH1FtMSKidkEjbSNeCwC1Kdd8HwUJ6RpOCNnNGUK5tbxMYSzQvLy8JBcC2XAOAop/xxPSkZEeuEe2TVpAIyNAQl4RzRHDfg5aZ+tswu9V0trqdDo5usS9+znfi8v817/+9ea9u7ScTkTDzjMmL62WjsF8D44jqv1XunUjIo0kIhZSJJJzG1tPkCiP18AVVO1QRKMMNqe4zmlZW1uLL1++pOOyWfBIGiLpOcD4mvNXJSnRFpRX0RPUcH19nf1CnuP19XUMBoNUstpUUsaIpg0DUcvgp9PpQim72+3GZDKJx8fHODw8zFI5Xg3ZSnxX0zLpkA2HN9L+YYNDD0rCfr/yPlIY72B9/XWuzng8zrS4IhEbubYE+DcOQarZ7/fj/v51eFZFDRzy7e1taoRcm1M1NBWzPVIE/XnsrlaxCFs9O46qBoSfOZ76jEajUdzf3ycnx9lzMoPBIE8nqe0c9gSeLCLSnn5lLa3TYTCj0Sgh/3g8zo1Vm+T8PFAntfF7nIyzoBmNF4J8BY9xSYwgItIQ6WsiImG8aMOARD2bFHKhWCZ71zslf5fLuw8kqkgtPVMW1h9Vz/32c+vr69kXFtFU8zg6/44shQTqPdUTNVRhGOnd3V3s7++n5qk2FHJ8rtF74GC63W5cXV1l46nB6d5prVZBpVCO5w6B4tw4DiQ7/k7a9PDwkBwOm3h4eIjxeJwyiqpcd93swWYX8GoAcX1SWOk7R8M+OS7oibaLxqqmdZweYevq6moMh8OsBt7e3sZwOExHL9VjgxwGBIfDqWjPs1RwcR9mPUFXb11Lm1798ccfcX9/H8fHxwk/IyLz2DqUWjQXyeopn8ZIUpR+//49oT0jsyEJzqraFPfB4KfTaeblqjNK5HJu51oNh8Po9/uposUnSOVwIxGRPIF7Ynw2jM7ji4uLbABUihepONDRaJRamm63G4eHhwuO4cOHD/Hy8pJ9Y6o7+BAGx7lGNLqar1+/Loy5iIhsDK1plu/CrThNIqLpMQLpNzY24tOnT3kdUJYD66rmiMrWZq+tBZ5FJWY5Wqlr7ZR/enpKRLi6upqnSfjdiEhbk4LaoD5HSqP0LRWsHfaoADQAHs291545gQeHWSutqlS3t7fR7/eTl3RdHD2n74SMavdQEITn/zcjWouErOI///nPm/fu0jqddrWrXcu5lrZ61a52tWs5V+t02tWudr3rap1Ou9rVrnddrdNpV7va9a6rdTrtale73nW1Tqdd7WrXu67W6bSrXe1619U6nXa1q13vulqn0652tetdV+t02tWudr3rap1Ou9rVrnddrdNpV7va9a6rdTrtale73nW1Tqdd7WrXu67W6bSrXe1619U6nXa1q13vulqn0652tetdV+t02tWudr3rap1Ou9rVrnddrdNpV7va9a6rdTrtale73nW1Tqdd7WrXu67W6bSrXe1619U6nXa1q13vulqn0652tetdV+t02tWudr3rap1Ou9rVrnddrdNpV7va9a6rdTrtale73nW1Tqdd7WrXu67W6bSrXe1619U6nXa1q13vulqn0652tetd1/8ArwInjiuPzIoAAAAASUVORK5CYII=", "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 }, "outputs": [ { "data": { "image/png": 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tb7Xvf//7juF39NFH28rKip1++un2qEc9asN/+/NMaY94xCPs8MMPt6uuusqWl5ft+9///oZT1xe/+EW7z33uY1/+8pftWc96lj360Y+2Rz3qURsYkndHQWPLli02Ho839MWuXbtsbW3NtmzZcsDXuidNHvsdd9yxz88885nPtGOOOcYuuuiiA948Dz/8cHvFK15hO3futH/7t3+7y8+//OUvt8MPP/wu/7snYbCTTz7ZzMxuu+22DX+7/fbb93nKn2Sf+9znLAiCiZDh/u51++23m5m5e2mehJ2k3//+9wfcFrO9zFazdWg0soO3aPOacnv1q19t2WzWnv/859uePXu8v62srNgLXvACy+Vy9upXv3rDdz/84Q97//7Qhz5kZubglUkMuAc+8IFmZo66fO6559ptt91mn/jEJzZ8ttPpWKvVOqDniMfjds4559jOnTvt8ssvt+FwuGHz0qmHC/VPf/pT+8lPfuJ9Tgmsa2trd3nfxz3ucWZm9v73v9/7vU6S+2OTHaq12+0NbZdJiWF/m79OX7/4xS8O6BQle+lLX2q5XM7e8Y533OVnX/Oa19h3vvOdu/zvve997wHf/67svve9r5144on2la98xYujfvvb37ZbbrnFzjjjDPe7drttv/vd7/YpdXbllVfave99bzv11FMn/l1z7FOf+pT73Xg8tk9/+tM2NzfnNje9Ex/84Ae974fnzf5sMBjYt7/9bUulUhNjmZHdPYtgwym3Y4891i677DJ7xjOeYQ94wAM2KGwsLy/b5z73uQ1YvZnZTTfdZGeddZY95jGPsZ/85Cf22c9+1p7+9Kc7qO7iiy+2H/zgB/b4xz/etmzZYrt377ZLL73U7nWve7nF4FnPepZ94QtfsBe84AV2zTXX2MMe9jAbjUb2u9/9zr7whS/Yt771LQ/335899alPtQ996EN24YUX2gMe8IANL/iZZ55pX/7yl+1JT3qSPf7xj7ebbrrJPvrRj9oJJ5zgebLZbNZOOOEEu+qqq+y4446zubk5u//972/3v//9N9zzxBNPtPPOO88+/vGP29ramm3fvt1+9rOf2WWXXWZnn322R9a4O6bT6/7kj9rttj30oQ+1U045xR7zmMfY5s2bbW1tza6++mq79tpr7eyzz7aTTjppv/dR7OvuUMir1ao95znPsUsvvdR++9vf7nchvSdjXrVazTlISrf4h3/4ByuXy1Yul+0lL3mJ++wll1xiZ5xxhp166qn2/Oc/32q1mr3vfe+z4447zl74whe6z/3sZz+z0047zS688MIN+oK//vWv7brrrrMLLrhgn6fxJz7xiXb66afb29/+dlteXrYTTzzRrr76avvhD39oH/vYxyydTpvZXqdtx44ddumll1qtVrOHPvSh9r3vfc9uvPHGfT7vN77xDfvd735nZntjv1deeaXdcMMNdsEFF9wlhB/ZAdifl+wY2T1l1113XbBjx47g8MMPD2ZmZoLDDjss2LFjR/CrX/1qw2dFq/7Nb34TnHPOOUGxWAwqlUrwkpe8xFO8+N73vhc88YlPDI444ogglUoFRxxxRLBjx47gv/7rv7zr9fv94J3vfGdwv/vdL0in00GlUglOPvnk4KKLLgpqtZr7nJkFL37xi/f5DOPxONi8eXNgZsFb3vKWiX9/29veFmzZsiVIp9PBSSedFHz1q18NzjvvvGDLli3eZ3/84x8HJ598cpBKpTwqc5gqHwR7lS4uuuiiYOvWrcHMzEywefPm4LWvfW3Q7Xa9z23ZsiV4/OMfv6Fd27dv30AVn5+fD0455ZR9Pqvu+4lPfCI4++yz3TPlcrngpJNOCt797nd7aQGkyoeN1Oy7UtiQ/eEPfwgSiURw3nnn7beN96TpGSb9Fx6/IAiC73znO8Epp5wSZDKZYG5uLnjWs54V3HHHHd5nrrnmmn2mRVxwwQWBmQXXXXfdftvVaDSCl7/85cFhhx0WpFKp4AEPeEDw2c9+dsPnOp1O8LKXvSyoVqtBPp8PnvCEJwS33HLLAVHlM5lM8MAHPjD4yEc+ckApCpHdtcWC4B6INEcWWWTOfvOb39j97nc/++pXv/o/CjtGFtn/ZYtiXpFFdg/bNddcYw95yEOijSuyyP4HLTp5RRZZZJFFNnUWnbwiiyyyyCKbOos2r8giiyyyyKbOos0rssgiiyyyqbNo84osssgii2zqLNq8IossssgimzqbWoWNbdu2uez3YrHopIAKhYKrVBqLxZyW2HA4tGKx6JX10N/4uSAInFZeEAQWj8edKvtwOHQFE9PptJNI6vf7TiE6Ho/bcDh0IqCj0chl91NFOpFIOLXwmZkZC4LAFfQrl8uuEF4ymXSyT+Vy2V13bW3NUqmUazcLOfLaiUTCPc/mzZut1+s5cdxisWjtdtu1IZ/PuzbL4vG4pVIp17/j8djJL6l9Mqm8ZzIZ98zJZNLa7bb7dzqdds+Zz+edMka73XZjMx6PrVQqOUHYbrfr/jYcDl35jW63a9Vq1bU/kUi4z5XLZfdzKpVynysUCq4tUjkg4fbII480s71qEPr9zMyMu1YsFrM9e/Y4qapMJuNktBKJhBuHIAjc2HQ6HYvH4+6+/X7fjU+r1XL9lkgkXN9rTtXrdXdftScWi7m5Nx6PvbnH67VaLfeOrK2tufZks1lvPIvFortPMpl034/H454QsZ6tUCh4YzIajdx3ut2um6O1Ws09czwet/F47NrQ7XYnzp10Ou36IBaLWTKZdJUJstmsu14ikXDzKJlMuj7odrue+HOz2XT/rtVqrm2NRsMJCcdiMa9CwWg0cs+2uLjozQPN13w+77Wl0Wi4+4xGI/ecqVTKXYvPu7a2ZplMxvVp+Bn0/fD3SqWS659Op+N+LpVKrj8SiYTXtrW1Ne+d1vOMRiM3vslk0t1nNBpZEATev2lqWyKRcNcaDAbeWsf+HI/Hbh6Wy2UndpzNZverUHJXFp28Iossssgimzqb2pMXvasgCLxaVdr1i8Wi8wyy2az1ej3Pm5D32+12nXeRSCScdzYcDp1Hqu+wGCK9JtlwOHT30vUmeZhBELh7NptNKxaL7kTT7/fdyWs8HnttltBtPB63fr/vni8IAuf19Ho993uegqScrdOFlLPN9takuvPOO12b1TadCnlK1XOPx2PvRCRLp9OuDwuFgrXbbVfYMplMun5fWVlxbctkMq5ve72e17/FYtE7/apvi8WiO/Xo5Kjrjcdjd9ri6ZVedS6Xs/F47Pq6Wq3aTTfd5NrN0wRPmzwFtdtt185ut+vV3lI7B4OBJZNJT1+PJ2t5pbVazc1rFd5UPatMJuP6IJ1Ou/nearVcW5rNpsXjcW++8YSmE/h4PHbj0+/3rdlseidjnvCo2K+Teb/ft1wu5/qn3W5775JO8zyFBUFgjUbDtXs4HHr30XyLx+PunUulUtbtdl3bhsOh+xwRllKp5MY3mUxao9FwbUulUu6dyefzrt/T6bS7brfb9d77fr/v+r3T6bg+yGQybnx6vZ431rFYzLuP2ka0hqfNeDxue/bscdcbj8eu38Kmfsrn89ZoNLxn4H30c6fT8drW6XRcv7M/k8mkexfS6bQ7ESWTSZuZmXFzZzgcuvk/Go3c72dnZ92c7Pf73glN11D71YetVmtifbqDsalNUn7gAx/oOmRmZsYtjt1u1008ThYNhgaLMI6OvGb+pFxbW7NEIuEmZafTmViPihvRaDRyi5FMC3uhUHDXqlQq3gLW7XY9eEIv32AwcG3OZDLeYpJKpdxEGo1GDnZot9vuuQllzczMWDKZdP0TXjQ0QblhJhIJDwJIJpMeZEa4VjBcs9n0FtBkMumND2EH/Uz1+UwmY51Ox41PLpdzL3Ymk3EvhRYdWbFYdP2zuLjo2pDP593ncrmcG1+90IIhM5mMB8kQUgnDxRoTQnNBELjNNJvNus9wnupz6tPxeOzuqXmg/uTYc0zT6bTr936/7/pODoCgreFw6O7T6XTc/BK8pLHifMtkMu5zHB/CujMzMzYcDj1oiv2m+w8GA+8d41zks5qtQ+qj0cj1kzZjwq3q68Fg4No2MzPj7s+2m9mGd17v3Gg0crB0qVSyRCLh3qV8Pu8Wcs638Jymk9zv993awHeZGy7fUfWVjE7DaDTyNiU5Ddp4eA06f5oThM+73e6GEAfHTdZutz34meMQhgAJ7xPqHI1Gbm1ptVqec6BnMFt/DzKZzIZSRHfHItgwssgiiyyyqbOpPXlt3brVwUKEAAkNmK3DMzqFyUsNwwQkPMjLH41GViwWPahP1xsOh+5ayWTS/V7elzyner3uTh0kdnQ6HXdSEayk+4aD5PI2CQ2onTyCTwr4BkGw4dRTKpXc82n4CWslEgn3HCIbTApal8tl5z0vLCx4UKOeIZ1OWz6f904f6qtUKuX6neSAWq1mhULBeaaEI/r9vuu34XDonlnwn/pqdnbW/RyLxdzzFAoF93Mul7NYLOb6kJ4xx5QnCHmkPInxVMj5pTFQu+Sxrq2tubmXSqU2EGTM1qFTjXej0fCeVX2wurrqnrPf79tgMHDtbjabtrS05J6HMB9tMBg4+IenE44jIdFWq+VVJR4Oh64Nd955pxvr4XDovq9nngRzxeNxN9b9ft+dhHVC1L14whJsbrZ3fMMEIaId+ly73fbeT8LCqVTKXSObzbr+2LRpkxvTWCzmnoekLD6/+l0nkGQy6U5xhNmKxaJ1Oh3X1/l83o0LYTqzdeg3l8ttqAbNE6aeJ0ywIGyXzWY9GFQQrU7T6lsRtczMaydLuYzHYw/iTafTHrmGc1djOh6PXd/MzMy4kjEHY1O7eR111FGuQwhbcHHP5XJucAUzaJIlk0n3YsfjcY/xpUmkhUQvFnH+8XjsYdwyQYuaCKPRyL0wg8HAgx01IcQIZExE7ebvuPmFcXpCpFxoiO0rlqaXWZuamXkYdzqd9mIG/X7flUUn/JTL5bzNTy9cMpn0cPrBYOAgujA7Ti9St9t17RErjU6IXvpKpeKNj/o5l8tZPp931w6CwCteqbmijVv3yWaz7juEwsbj8UTGZrlctpWVFQ8CVH8yjsPFVXEoOj5sA8eYzFT2QTjew/mqcV9ZWbF0Ou3ma6fTcT8Tlm23284BCbNBFWcy8+frYDBw9xTbkeOouUMozGy9IGin07FkMumevdfrTZzjvV7PzZVkMmnNZtPNq3q97j5LBqjGQf+Px+NujvDafM/L5bJrc6vVcpuJrqEFtt/ve/Axjb9nSKDb7bpxi8fjbs71ej2v7hwh+fBmThhXps1fvxsOh56joO8Tyhb0LDh7bm7OvUupVMqNL+euYrx6nlQq5Z6VDi/7tt1uWyKR8EIPXB/Vn81m03POb731VjtYi2DDyCKLLLLIps6mlm3I047ZulcklpZ+ZiCXQWIyrOjp1Ot1d21BUSQ86GcGRQeDgfMslOOh9hCe0ClE1yLBgmQBEkB4MM7lch5c1Wg03N8Z+E+n014AXF5oNpu1IAi8o7+8MEJ79OxF0NA18vm88/yCIPBOGsz7IUGCpw6y4Xq9nuvrdDrtvEV59YSIdD2SZhKJhPuOTrhqTzqddu3kCY7knJmZGUun0x6TkrCQrNVquf5sNBpeEJ95VWQEZjIZL7+n3+97hAeSEgg/yeSh85SrsQ/nJOnEkM1mHTtU/cPTAXOs9DwK5mvsychl33AMUqmUlxdERu5wOHTfqdfrHtmBEDihLJ7GU6mUG69Op2OpVMrNPZIFeJLMZrMbxposY76/PAGQkcs+GY1G7jvMXeJpMZPJeDmkg8HAC0PoBNLpdGx5edl9Tp8RaqL2FgoFdzoKIxoaX8G4mmOJRMK9P8z5IkEjmUxar9dzp789e/a4tpFNPRgMPMYo5w5zQ2OxmBsDhlEWFxfttttu8yBJ3bPRaHjIhfqZ0OjB2NRuXrlczou9TIKyiLEvLS1ZOp12nUiMmgmXxKV1RF9YWDCzvfEFDWK/33cTh5i9MF1NHrXJbO8gChobDAZenE3tMPMhL1K5x+Oxt7Fms1mJ7beQAAAgAElEQVSPPUUasozxETGP1G+FQsH1Qzwedy92EARe7Kfb7bprs08J+83OzrrJ32w2PciNqQyEDAqFgncfxjAIkTIexyRUvrCzs7PeBprNZj3oky8KYyikujNptFAouGunUqkNCxsp6HpJ2+22dx/ClozPxWIxLylYz9bpdLwUA8JMhAcZ+yHDSwutrsGk3nQ67e4Zhne44XEuM0ZMSFb0b84z0sGZHE7HYTgcegnqjH0S/mWSNWHdVCrlFvj5+Xk3BmRvahEmfMyYMSFe0tT5LqbTaTd2jUbDG9NJMK7ipvybvk9ovlarufcilUpZrVbzoFjOd7ZZ76+uLwh8dXXVjQ83TMZuFbOWAzA7O+v6UO0w8xOOxVoV5FssFr0wCN9FxrU4doxnh+N06je242Asgg0jiyyyyCKbOpvak9fa2pojETBwb7Z+8iDkNj8/b8vLyx7MRmiM+UbMkVB+itleb1HeBE8GvJbyReS9ZjIZT4JpUj6YID/KM9HTmQRnCKaQF1QsFp0nynvGYjGPGEIW0XA49Lxswn7yqJSwqfts2rTJfYcQoHJD1BYmRR5xxBEek1Ge2MrKiseM4wkin887z7jVanmeOaEbevnqSz2P7kNINRaLuX4XNKKT08rKivtcrVbzTrlMOCZc2u12nfdLWIgn1E6nY5VKxRGE5ubm3LV1PTP/NCI4kcnuanez2XT9MTs76+aETpvy9uv1uuvTXq/n5sTc3JwbQ0Hc8rKZJ0koiTC5+p15SWFika7NzwjqDj+P8inVZiIaJPvUajX3zpP4UCqVPLIRc67IjqVUE+XHzHxYdnV11ebn5913ZGw/T5U6dRHeU3t6vZ4HbTMh3cy8nFTmo8lisZhHJGGSfiwWc30VJpOQ1MGxD4LAyWL1+32HnMRiMe/ZBoOBtz6pb/j+Ue5rfn7earWaO/0xR5Ft47Mddthhdig2tZsXF1smcJLpxg1NWL4mXLvddp9jTIMwg5nPvlpeXvZibYQa9PIKcmMiLqmrhC05CamQQUUH6gpO2qAEKUjrUO3iz+onLWaa2O1221NwIHNJzynIQBOeCzThRcaBuPmVSiWPUZdOp90YlMtl9yLQaSiVSl76Qjqdds/Z7/e9+CZZjLyPWGdme5UzqDlIbD+ZTDqlkUql4sW8qPFHOIQwVb/fd5sf4wGEI+V0sN/VV7lczi0ag8HAg46Gw6Ft2rTJtZXz+fDDDzezvTEMbVYaD12D9GcqreTzeTe/brvtNm8zZvoDISsumq1Wy3P4lFQenhPc9EUZ19jRocjlcl5aAeOw6XTabfqc/7lczosr6Z2V08B4HOelrNfreSxcxs10HT23nBPC+bOzs56SCFVxuJHr2c18tY9Op2Pz8/NefFLPQ61Vvpf6DhO9mZpBx0Bxtnw+b0EQeKxCJixP4gqobxh7ZIyW8S+1uVareSGOsCqNfm63256zeCg2tVT5k046aaLiwMLCgveSM/eB9GVm6IdzNkhHZ4yFdHaJk8r08orsoEEslUpeDE3XXltbcxuENi+1tVAouO9T8LNWq3nxlfDioslHqZb5+XmXZyISBAkX+hyVFSSIqrZkMhm3OIQ3P+aMKe+OgXmRRyapVVBMlGM1Ozu7gVJLY4a/TIs2x4R0Z32WC6Wuow1QcVEz80612WzWLVQiEFB9gAsNpZp4ctN31R7Nl8XFRS/+RWHeSRR6M3+OcvNk3ErPqv7lCU+IgtneMRyNRm6OkoAyGo08pIDOFZ0vyquRSLFnzx5vI6NKB9NWer2e5+zxmUl4Go1GbhGkB0/PXqK0nKMk6IQdCrP1nCvmtHFtCSukhNsyGo1sz5493mmH5BzGPtkuboBcMxirZGyu2+16J+3BYOChOkRLuH6Ecxb1HO122zml2oDZj9xY+f4QsQqPDfuQcmIaXzqsqVTKfvWrX9nBWhTziiyyyCKLbOpsamHDTqfjPE7i/IRXhsOh83T6/b6n4cb4EyEQ0sITiYSlUilPEHWSHmIikXAMIJ16SBGeVDqCpR/kDZFqy6RceX7E3wUDkUIuzyvMDuLpipn49HL5MyHAYrHolZJQ3+nZ5H1XKhWvzWSC8VlJV6a3yxOmdA3JViIdXEY6ffh0w78xabxQKHjaf6RI83RDz7HVanlMSGotqr/M/DgM41diphGG1D3r9boXayF0FPb0mcrAPlBfSyWCagZkHqqdS0tLHtyUTqfdv1kehfHeVCrlnk8wocabJxrOyUQi4Y1bLBZzbd+9e7cHKXKsyPKkRh5PW6TXJxIJ79RDGj5TUnhCJFN3ZWXFg80Yv+31ep4QgNrP/kin054Ydz6fd/ONp8IgCDy1DiqBUFi81WpNTNmQNiTXA12f6AD7qVAobEiYl2WzWe8ZmOTMlBgKLBM2bLVanjBBLBbztE7JnmY8nye3Q7Gp3byYF0VFCOYkMCArCRmipGFhTTMfhmk0GhaPxx00x85eXV11FPpOp+NlozOAvLS05AV2SVwI1zqSMSufcCDp7Fp4dY2wYjlhBwWfJVOktjHmxcA2IbM9e/bY3NyctxBTjUF9TaWJTqfjIMQ77rjDU0Ngfgxhx8Fg4AnMModkNBo556TdbnuxBb30wumpMkJjfJNq/tVq1aMRa+Gem5vzYpKE4sI0a0FzhHSSyaS7llTGpXweJgGoPwgxi6pPBf9J6uR8ZhECGN/jBjgp7qjfs84V8+h27drl2swcR8YbG42GF7NSLIOiusplpHAxHUFSuxmvkryYmV8HjdDcaDRyi6baTpmtSTmX3BRVP4+QJh1TPRsJW3w2QclMo2EYgu0Mi/xSzUQWdiRJqhqPxx68T/URfW7Tpk1u3BTPY54l8yfD8mpm6/OYpBPdk44xoV9Byax7p+eYmZnxNjLFcensHYxFsGFkkUUWWWRTZ1NL2Dj++OM9sgC98UkilPIyyPaTB0ItwFwu57xDaZSFKbFmftmQRqPhTjDy1Oj9yhsh3ZiJg2Y+bMCaUyzRQoKF2qc+oJ4aiQNm5sF0hEgJO5Aay/IISviU9ysVh/C1SXqR4K3ZekVjeZZzc3PeCY0qI+xbjZGuzZOk7hmPxz1PXH2s/lAfUHSV4y5tOZ4eSbkmAYbPzHItfDZ6wqSzC26m90oiBPXteDIPnx4pDhzufzPzxsjMh7bz+bx7tng87k6L8rB1KkwkEm7+r62teSd6pgRQRYUEkHq97r1z+jmZTFqtVnMoBsebFbUJEVM7Uf9nmgPTNHh6puYfYeJCoeBOaOxrQcQkNbAqMvUQeVJiCorZ+kmCyfJUs6H6iNrC90dGzUOelEhRN/NriHF+BkHg9SGRGOk4mvmCu6T383saOxmZxGLe6p6EfM3W2dgMQ1DkOhaLufp5B2NTCxumUin3wlFkk2w6vvyxWMyTcWo0GhMFNyUwabaXqdftdj2pHkJZMlJzdcTWfWq1mndMpzAp4zcqC27mDzYVDxi7GY/HtrCw4JiE+XzeKyw3Ke9Gm3c4dmDmw4azs7MedMH+abVaHm2dG6uM9F7lezD/g3l4hDNkWhgIr8mq1arrD8IUmUzGgyFmZma8jYQUdjIxGeOkqgbbRsX/YrHojTfli3ifcO2o2dlZj3rMmAhfci4GhIypjELFELIIx+OxlctlL12AsCrHiEzKXq/nUZnZp2QUMl5MKSyyBZkTuGvXLgcfy9EirKrvLC0teblllF0jNE1RWIrPhp0Gbmzs63q97sUHWV2AuZmcV0w7WV1d9aDCsKNEKJAMwUlOpSSY9B2myhCqDM815kaSVcmxDccDGY+jQ8+YKL8zMzPjZNDCnysUCq5obblc9uBrVUIw8/kGVJ4JOyCHYhFsGFlkkUUW2dTZVMOGrA3E/Bx64PS4U6mUBw/yBECvR9CCAvW6BlUgzPxgK+sJheE9BmNZRVTQDTPZ9f9J+RfxeNwxyaQlRk9WxrIJzWbT0zbUvdVvHH4yBPUZsg7VNv2cy+W8HCUysahKIgFc9S8h0Ukwqth81ITUtUU64fiozfsSAFZ9MLWTyam6jv7N3DB5ooSRpJigucMcForXEibUCVX9T5isUCg4BEEJ3boWCUdkP5KsRK9YOXXM9yLzjww85vqwRMrq6qr7/u7du13f8J1SQrkgK8LMnU7HI09xThHS5zwgs5QiAWtra1apVDxhXPUBE4apnEGh40ljx/uESx2RcKH+nZubcwm/RETCeoisWcWkXp6MeRqXqO4kYklY9JuV3XkCJ+mFgtV8r6ShOom0wjnK5HKFPcjGZtuodkNUSWiB2V70hvOAxBCFOprNpt188812sDa1sCEH1WydWcijeJjOTvUBQojclO68805PsYBZ4NwgiF+Px2PvCEw8XX838xMJif8TDjHzJwWZelR+Vwa8XhhCJ1QvyOfzXtuopkAafyKRcKxEJlwmk0lrNBqevBLjG3pJS6WSp+RNCJOYO2nmsdh6kUgugFpMGceaJA9FiEnxCAq3TpLyIYyTSCSsXq97id7c0AgDMRlTkkpm/kIlEVQznyo8OzvrseiY4DocDm3z5s1mtndxUt9og9T4coFmrJCbsdQU2G/cQMMCqeprsidXV1e9xVGsNbVbxj5gtYRMJuPFogjhh+NkeoZer+c5WLqWnp2xQyb8amOkGko6nfYgXzNzBRJzuZwHB3KxJ9WcsmOsx0f1ntFo5DbvXC5nxWLREwOQMWZF50qpD0zTYPUJFuIMq21w01ebuUFwY9a7yDqETEWYVKuw3+97mxkZrIPBwIuzczzoMDKRP5PJbJDP03UPxSLYMLLIIosssqmzqYUNt23b5nk0DC7Sy6Yxx2jTpk0ehMFgOgPePBU1Gg0viE8ihEyQG4/6ZDXqhEf2l6rUMuFPRp1E1qsS21EQHk+ihDYJEyjhmowvQpJkozFHg8LDTGaMx+OeAC/r9KgtpVLJIx6QFEHtO3qBgjpY60ufm52ddR7v7OysB/nRs2VOHSsfm/lVqlnyvVgseqcy1uyS6SRM3cVJCaBM4FYeIk/dFPDVSYe6mcpDIpGCtcoolKrviZnKf8u7zWaznhivPtNsNj15KCby3nzzzR6UHSam6N+dTsfL+eL7R5YbT+AUnCZERVh4PB5773C5XPZyjIggkGgTZuupPSQYsTaXTpGcy0R1CLNRJixc0ojoBOE4WTj3z8w8cQNqhlLfUfOjVCpZvV6fyDZMpVJerTSZSq2QKEIEgGsgn42oCLUWWT6HJI8wM5TzOszsZt7eobANp3bz2rJliyf8yDiOOppHbE1OvTyMFRSLRTdZOPGkRsEXgVpiMkI1Om5T1YJ0YbWTUJxYXUxMppYYoQUexcPYvmC/sGDnvl5KMhy5sLAPJExKJQ9tjtRgpPq32TokoI2S6uTc/AS1MI4kuJfPTWFRMqnUh+Vy2QnGmvms0XCSJB2Q8Xi9Rhoh2pWVFa8cve4jtiJp/OzTSVpzYs1NgvOYmsENT6orTFkgDCpj3COZTDqquJ6Vc4QxHarx33LLLR5dX5vc2tqaW2zpaEhBXder1+tuoaITw/dP0B6TlrnZkyqu/hSkO0lrke8CYWUlBZNCrntSCYQxTdXw0/XoWNLxojPBd6dWq3ntoegv64GNRiO3WckZYfyWCjt0nPS+1et1b7zDBXWpksIYPpU9uJHQYWV9REGI5BFoDNjmQqHgifkmk0n3b6rFmK0fJMIVHm655RY7WJvazWvz5s0evVaWSCTcQJXLZYcdb9q0yaPRU/iUBSg5cZvNpg0GA0/GhsKeMk4CvUiafJTvoWwMF8BWq+U2LpkGniQCyuAkk0mv+jA3RlKkGdjWpkjFAPVPWKVf9xcNmhstg/csZkn6tX6vGAiLcPK0xWuR/l2v1z21dlZyDm8K+j3jec1mc0P6gvpQm1Wj0fBy3ej1U1SWJ1mNXTiWqnuS2q45tWnTJk81n0oL6XTabV5EDTQPebJkEUI6B/pOoVCwfr/vbdpUoZGjUKlUXH8qR5InJI1Jp9NxbavVau66ipORFq13jidZEqFWV1ctn897MWQ9QziGx9OAYoz6Gz37cHxQ7eSpmyQPCtEqrqPrjkYjjzBEh4TOAN8dPf/a2tqG1Aj9zLSZVqu1ofIC89O4QegdmZ+f9whBsVjMc7RZ/iYsJ6ZnM1tfI5mLNR6P3Viz36XwQ0ef2wRPxjw0MLWCz0Bki3J7uVzObrzxRjtYi2JekUUWWWSRTZ1N7cnr2GOP9TS/6GXzdCXYSqwfnUjomRcKBU9skuwkekukAYdLBhBH1u/4b7WNlHFdi7R9/U3tJGuN5V6q1arHUMpmsxPrSpmZ5wXydKJy32Y+DMJnUzIoRVmVSjAzM+M8v1qt5tXPInMqnKFPdh8TX1nyvtPpeMm7LJ9Omjcp/YqV6d9kSNFDJcNS7DQzXy2DsCVZZmRXhceUMA7bLBULzbFsNuv6kCfhdDrtnk0nYsZfw6U/dB+e0hVj1POQmUmoUlav1x1z1WxdpFbPpnaSTq8ToiBFMsjIeuMpe21tzYPqaVSUCce5lECsa2vuKFZn5qtDkN2n603S1eTPOuHpe2T7qjyPxoLitTTW6iILLx6Pu+8Xi0UvBMF5xbEdj8eegEE4tqZ1j7Rzwp48BSqNiO8C57XmGftDJWJ4PX6HTFmmYrCdZPVSo5NQeDKZtN/+9rd2sDa1VHkGiZeXl90g8og6Hq8XtgtTtknfXFtb8wq+EQqjmKjEfc18gsRwOHQvsiad4Ilms+lBfZz84Rwl5mIwc50SMhK1VExECgZcQObn593Lxxw4bZjE8Ck5w9wyLVqLi4teygFjcIwHZjIZL2bHzWYwGHi1rQhbMLbGhY0vMzcifVbXJnVZ7TDznZhWq+VtUFzAmANGAVPi94xbKP+KGyAr6FIoVaZ8PBImmP5AKDpc9VftZqCceYTsG8pZmfmLLWMVpKwrt0yLWLlc9vpaY80q03I6qLauucf6VaTTH3744ba6ujpRYDmcy6jY7Z133ulB/YwJcuGnIyrYnjAVYWFCn5QZY24j42HhzVjjSqgylUpZrVZzn6tUKu69aDabG+aO2XpciffhHNa6RVKESEx6HgosEyIm2UlFISkIzHmk9YPxSMXZuDbwPlorKQNHh0HPKmM6h5m5Z+MGfTAWwYaRRRZZZJFNnU0tbKjETrO9HoA8GlJLw96mSA5mvsgu6eRko3W7XY/BRm9reXnZeYi9Xm+D2CV1vfQ3UnXJXNSpRdeuVCperS+VXiHrZ3Fx0aP3UnWBzKNKpeLaL0oyYSrS2/UdQlnJZNKjseuZ1B79nkmfDGaLzUd6LxNI+TPJG4RV0+m011dMGuX3w8nMpAcTlpXp9EyWo06fFHclC1GnZKkuVCoVD74mTKd2ihgib5gEBQa2CfeOx2OvXhLnDplpnGtqG5mZPE3wlKx5s7q6aslk0j1DEARuHEajkUtSJiwsyJBzlELDerY9e/Z4J8d96VoSNSBTV3R2/bvT6UwkUtTrde/3vHaYtMKfSYahKgxp4/F43GMRUrmGydQrKyvubzzF1Go1j7VHlic1EHnCazabDsXodDreO0ZoOaycwVMpwxhhGr7uo3lp5p+CxFJVHywuLm4g0agPGYbhSVvPaLZ3reR7yvscisLG1G5e97rXvdzPYXkoLgaEMBiHCMeE9oWFt1otb+Gm5IkmGEVCCVvq2pT10SRgnooELgljCNsno4i5HFLX4KZNoeFJMklmfg5ItVp1IpvVatXL36Bx4Wc8glRo3odSRIJniZMT55c0Ep0J5Z9QpUOwEotehmWwGOPJZrMb6oOZ7V3omE/H9AG+5OEab9zMGWtkfJCSQXSU9MIzRUDjViwWXV8R3tQ1uPhTnUJzwmx9kYjFYl5tOzoK3OTYt7lczpLJpIOJE4mExzbU8zSbTQctDgYD+9Of/uQ5bHq2sDQbF+tms+lVFCB1n5s54U/mJSUSCceYZCwrFou5/lS8R+NI8VqqqegaZnvn5NzcnDcPBA+yigGZv7VazYuz1et15/hQFYOFHNPptLuuhIqZY6j+pbhxuHgj47rZbNaL9evZwrmqKysrbr1sNBpuXjIOSvUeXYtjp2vTAQmLf8/OznrhF8b/tREybNHr9WxpackO1iLYMLLIIosssqmzqT15HXnkkV4+C/Xy5Flzxy+VSt4JgFAHtcxarZanA8bgeDK5Xsah0Wg4zyOszMBT3Wg08pQT9DM9KAVH5bnxO5s2bfL0/wiZMRCrv+tZZYRT5IkzmEs4T14lk5QV3Ne1V1dXXb5Rq9Vyvy+Xy95pRCZPmBAg2Xn0wjQ2nU7HYy+pLLmZn2Abj8c9uIOeNYVOqabAfB6ph1ClhAzQSbW1RPphYrCM+oMkaIhlpr5moqmeQ/en4K/Z+qmXp7VNmzZ5bDa1WblCOv0sLCx4ig7qw1ar5SENJH0QNux2u+40wHIga2tr3tgTmqvVahNrYUnvc19iAiRVMH8rFou5Z+B7pXHRPXmaIGEjzMZk6RZ+RuOi9lARgvONbeaJl4gCcyGp5cl+Un8Q1WDCstpGYW0xn0nC4fxjIjJLoPC0w+WeMCYZn6PRyK2XZn5SvPpOz0A4sdfruTWs3W67+cpx73Q63insjjvusIO1qWUbskOJRZuZV3COA0IsnFg2F9d2u+3FyRgjisfXi+uFj9l8EZhcWq1WvSRlFnzTS6U4DhNcFedqNptuwhUKBW+DaLVabrKwT6rVqlt0mHjb6/U8iZ1kMunRYQmxMsbDhbZSqXhQAzdCGRcgORN6VibBkjmVzWbdItVoNKxUKrm+YjyPIrtMGlUSLxMjwzJfZuZBwL1ezwqFgscCFBzXarW8eIT6Ronv3HTJQOUiyhgRY4JkXJL5RzUIQUyT1LgZ6yAjUXEPOkFkX5IRRpiOTkw4WZbK7RpTJQtr09+zZ49rT6lU8jZ6QkzFYtFdIwgCN3e48HOh0yZAOJ0LIhOGKVhdLBa9uaPvlEol9zxMazDzpdKohsJKFGQIm/mU9Xw+78UNNdYMI3AeCm7mxsh3SP3JWLScLRbU1d/ofDabzQ1pHlwH9f2wQLQ+w/i7me9ckIUYjiMz7kb4OJlMesnQhPYPxSLYMLLIIosssqmzqT15hU9R8txYWiObzXo1anK5nDuRlEol5ynR+52bm/Mkk3giYL4Sg7edTseDq0j62L17t+dxq81HHHGEexZVpiVbj6cb1rKSVy29P+qE6dSwvLw8sdxAsVi0PXv2uOCtajmF+4rkgn6/753eCAWFiRmyTqfj+kn5LDw5UURVp+RMJuM834WFhQ1ySkxyJHGBp1XmC5FI0Ww2PZFfGU9NaptYhIuLiy6YToip0+lYEAQepEIBUiIChP4oIswcQUktqT9IWiHRJMwmI9Qo71nkE0K5hNxYyoKEAJ58WA2aZBZKhIm5yHlAbUHmB+lkUK1WvTGlqCwZdGyb2GvMfZtUQoc5gjqZ6J0JVzXmd8IyRzzNaux40uFpmsIE6g8yJjV3WJWcJ1mhE6xerGcQpKjfEylh3hhPaiQY6bN6FhJYVldXXX+Ec9XIviRRJZ1Oe4xansyFEHU6Het2u57uofJjKYvXarW8PM9DsandvKSWbLbecWbmLSyj0ci9vFocOUE4wNRGoyjnaDTyNPtYN0w/c7MSFKXJu3nzZveSUl1CtFcaF2IZaxhJfFb3HI1GE3HlQqHgJTkT8y8Wi27DYH0ztjmsZchNgone4cx/4toUIKb6AGHImZkZL92A6t+MeTEZmYmdrBsmfUnCT9T8o6is+kMpFhR41fisra15CbVUYCFMRcbWzMyMY09RX8/M10PkAh+OO5AWzXQKsQLVTkLRjE+SYRsuAijlGDNzz6ZFW58jrJvNZh27j7FcsgN1bW44slar5e4j55FMSM5zzQ/FO9U3hULBW2DVH4VCwVMhoUhuGDZkIrzuqc1Uv2fsiMUcmZRLaI+pHJqfmjthaJuwPaHbcrnsxX/ITqXCDedHsVh0f2OMlesEnWSp0GgjocoHn5swbCKR2BAT1JygIyqWpdn6Zskkbr4zhJ8JmR+KTe3mFc6PYeY81RxY5I6bDwVReWoI50hQnomfZQ5ONpv15JOo2lCv192kECXebO9ixDhDWCGesSCWuKCcEvN9OJFJcKDUzWAw8CZl+ISlz7G4oLxK0sGpWC+LxWLeYsLCfKTnMleNmyQ95Gazae1220tF0DjWajV3H4rsSiCXCv5cKKm+rTmgz1O8lC/wJKFUUdE19sxloqIFNx6OjcabsQr1AWMVWlgoykwFFap6cDEZDoeeUyfLZDKeVBrfAzPzNlZSrrX5rK2tuWdTWgP7d1K6gGSGzNbnFIku6uu1tTU31kxxSCQS3n35jvA0EXZEhRboO4wZ651nXEonTCqTUP5L16bSCuOgiisRyVHbms2muw/br42ZfUiCkfqDc1KpMlRvYa4b0yKootNut904hsu1MPWHsm3cAJeWlrzyKIytqc1yAnnC0liXSiWXL8j4NeP/B2NRzCuyyCKLLLKps6k9eRF2IwWWx+pJia4UoqUXyLIq8gik88YkRYrF0ltl3aWVlRV3X3qSVDwgNVyUb7UnlUo5T4lCo1QvkBfLkxxpsIypkCnE56GXTAZbv993J0kxnPQ8TMaknhsZTYQWdIpk/9JDJLuOMQPCshpL9QcL3/GeYW9c16bHTTFiKTNo7vBUyORhQnv6Wd4vTz6ELfk8SmwOt1VjKq+Wp7XZ2dkNeo4at9tvv92D7VgWJxwHERRMJiPHWkY2GKE/9Uc4xjUajbzaY7oe40+cE71ez/r9vtPS63Q6GzQm9TPhSapi0OvnqVDqDnpOlg4KP6PeOZbZ0SmDeog8GZMCTzYroWyWgul0Ou45ySImdKySOZwHTM1Qf5j55ZEajYYH9ZG9yf4MM21J8ZcVi0U3j6vV6obEeaXE8D4zMzMOfl5YWPDUVJisznHbvXu3BxELLQlT8O+uTW2e12GHHRRx8vkAACAASURBVOZhvJzgzOUgLk3FAGLuhArH47GH+TcaDbdYc3EkPEm1AMV0KD3FjY0BTb2khULBqtWqB3XoCE86q/6ttlEyiLR3xoLMzNvkSSFPJpNefygWRqqscrG4cJE8oZeh2Ww60eBw5WLW+iLBgbEKbsSNRsPb6IfDoXt5KpWKe7GpCJ/NZj2IJx6Pews3F8RJlGh9h98n1Z0LGBdlCi+HIS79XouH5tHy8rKbL+EK0uonSVpNUrZPp9NehWU6OoRbaVQpYUxGArthaFnPpnuyMKUcPxUSZDyMpBnVgtP4UMyXsU86R+122/s9N1qOFZ0O0rIzmYxTylcbKH4rej/fD+Z+arwIu+m9YG2wMP2bNfDoaLTbbc+hYq7feDx28DpVdbgR6fpm6xUA2B+6HseXKRKaQ5OkuMISWdpwBeFPyicjJMnNnGug7qtno/g0Hbd+v+8Ufg7GItgwssgiiyyyqbOphQ3H47HnITKATaFVUoBJByWcR3ZSLpfzSABzc3NeQJzHfpZxIKvLzDxWFIPwajNhDSVzykObnZ2dyFCi56drkXkkY9J2Op32IEx684R7yIqiSoPuJa9b5T30Hd2/Wq16qgJUc2DtIwoVMzFU5BgZ6zhls1l3arn11lvd89DbU9lxQlmT6PlMxlTAmVp6pE/zJKxnmJ2dtV6v50HBOuGVy2V37dXVVQ8uKhQKzhMNEw9khC3DkIrYeuxH9VM4+Zj3VX+QcUk1BenWke7PpHxBRKlUyiMR7N69240jNRmpnKG/656EjnkaoLGum5lPyiFhibX1eEoXqYKCteoPoh3hRHy1UW0jmYBCAPo9Bbv7/b5HwAqTdUiKYdJ2LpdzyAVRIp76R6ORQxrEFGSaA0/6DGkwgZsnNNbTImxfKBQ8bUeJOqg9hCQpQEBmK9EBKtew32ZnZ7319FBsamHDrVu3uk5YW1vzlLQ1WZT7Y7YOyfA4rY4nOy9MH+XLzCOz2XrnhxlfLM2uiW3mK0pQdUK0UrWBg0qqMGVedF89KxdovmwsfZ7NZi0IgokbUXiT5IJIKOn222/3IDRuwlrQC4WCE9yVjBXFRTUmdCBYdlyyM3JICoWCB9EQglT7STPW55SzxbhDIpFwv1etJ8aZyOziOBB2VJvMzItNMP8qrBJO5YpEIuHFuch+ZErBYDDw4GNC0VoYCJnn83mvThUdAuY+9ft9b2FiLJXPyJyrlZUVj+V22223ub+12223yTEPr91ue9JVzH8KQ7ba0MMqFvwM36WlpSVv02F/xGIxL145SYl+PB57cT+yDfl75sDNzMy49nPZFLxJ0e9JeVHcyCR7xQ2cMfCw7JLZRlYk1yMyHNk+QXv6N+sgcvMcDoceo5AQei6X81Q15MTs2bPHfWcwGFitVvOcVjoU3Pz0PI1Gw72LB2MRbBhZZJFFFtnU2dSevI466ijvtCMPolarOW81l8t5Cg7MsA8LqrJGDr0hqmqEA+g6DRDuUiKlvBOSQag7V61W3XVVgZdMKEIs9OgIDfCYzoBrPB73ajzJBCFStYHsI3nSLFMgaJD5Zer3drvtvORkcr0mVC6Xcx6q2GOE8xgg5ymXJIaVlRWPoaS+LpfLnk4hE4kJaRA2VJv0uXClYXrW6gMGxkkuENxEdhtPB/q5Uql4Gn80IgLSqFQbeephvh1JBBxfnabVZkKL7Guy2cjIFbFF85osTybr1ut11x+33nqrjUYjB4MOBgM33lTbEJSrfs9ms15ZFhIzOA+IiIRhVdacC1eQ5rhNqtbLd141q9R+9mOYLEHmLUk8sm6366mRsA+Ze0gUR6xO5knJqD9KoXCdhoRqLC4uboBY9R0xBZeWlqxQKHgnJNaZ4xxXf+j0rH8TYeE7HxYgJ9TK3MgwuUXjlsvl7Le//a0drE11zIuxC21YXBiYSBxWYDZbZxeNx2MHiVCdotfreROOi2F4g6DiNhc0vnDz8/Neoihr34iSrjboRWIch7CUWIgsMEiYjWwyMqwoPttoNLwFgEU8GSup1Wres+vZZmdnvUWLEAZZkGtra+5lYuFA0sRXV1c91h6V+Jk4OxwOvZeZ9+cCTWyfCv5KZpblcjn33IxpEqrkGIhZxziiaPiMJdVqNS+eIbad2fpGa+bX2SJLVRUDuGHJmFbBuSf2JWNWdF44RzUn9Dxko6mv2+22F9tjIVfGWyj5Q6chmUx6ggEaIzM/FYAOFB2DfD7vKeBTuSUsCkumH6GxcFUI9of6dH5+3hv7cCyYcSE6ToyrKa3GbO/c0/0Zj6OJdavnWFhYcI42ndRisehJb5GGr3vp+TlfCcdTJoyqL6VSyVtDw0ICTGam00zVIn6GbaDzp7/rO2SmHopFsGFkkUUWWWRTZ1MLG87Pz3veq6zb7XqitvISVHOLVUgpiEpYiJ5Ws9n0atSQXSO4MJxHofvpGsx1IZlE0KKIHKxDxsqwLKNAz5w2MzPj2tlqtdzpIp/Pe0wjQh8MJg+HQ+c11Wq1DUFrwXFmNhFaI+NSCan6Lu+TTCYnsgBVrsVs78mgWq16sPAkUoNqUZntPdExMTKbzTpPlom3lAVSThElofQMs7OznkAz83Oor8jaT3oOM790hE7W/M6kn8PyRSQLdDodJ4Ia9l6pl5nP571cRBkZhcVi0WOzMn9xPB57EC/bqf5oNBq2srLiQbT6G5l6FBOWJ099RrVnPB67kznhN5FU2L8UZWbiLU8Ao9HIIzJRPFr3bzab7p7hxOY9e/Z4uUx6T9vt9kRSk4SF2R+swcV3lnJQjUbDI0Iwz5HrSZgFyRw09g0T+XlSYp8Kjtb3SVAiqYKncRI7CCdyzVhYWPAk5jivR6ORR0Ti/LjhhhvsYG1qN6+jjz7aJbiVSiUPr+bxnXRYDgIXZ6oHsOaWGDx6EcjA0fXNfHV1wQT6XD6fdxO5Wq26tlWrVe8zTGYOU+9ZyJEv7KZNm7wUAV2PNYjMzGO28WjPTbter7vn0QJqtv7C6r6lUsm9pExeZsKy2frmurq66n0nnU67TaVQKHiLpkyQLAWSCReR5UbohowrqrVTcYBJkorDML5IUViWktdLWS6XbTweeyLGrBpAKJpjSIZhIpHw1N4Z+9HCokRm9hvLyWtOdjodT/8wHCNiyoTuKdV+3Z/q+vl83luAGL9ivaparebGsdlsevN/X0a6PGFy3VfXpnNBajgh42az6RzEfr/vnkdxQhZ91Rwh45KQrGIyuh6dnVKp5DEk1YeM0ymFhQxDtYepNtQClCPN8ADjeYwZM3GdbWA8nZsf1eqlBEKHk2xF9QfhVbFwNQ5ra2teComMMKwYnnR29FlWdRiN1uuJDQYDu/nmm+1gbWpjXqlUyhYXF83MDxhzsLnoajGhBBFLc2gih4UwGYDmQhMuraEJwdIXZr4oLAV7id8zb0nXJuZOL5sFLDudjleigc/NzHttVpVKxTqdjpdhzwWR99cLohMAA7bM2ZhEDae3SUUOXU+ebLPZdNdS23R/5qAwdkPldUr06ASkv83Nzblrz8zMuA15dnbWvTxKaeAipudsNptePFFWr9e9+BOdBor8UnldfcG8QnrCGgMuemZ75w69ZFk414cyRSQP0ZFjZWgu4hKOZkUASqpxrug9aDQaXtwvnH9GYWBuRIlEYiKBhPFNkntEy55EXmD1cp6udDLR/CURo1KpeHmFGiuWqDHzy50sLS05RIOFMTmnha5Q/HZSGaRyueyeWadxXoc5aNpIGcOXU6yYF9sdlsLj2sb8UG5e5XLZOSC5XG6DSLPWVCqTcN3KZrOO6q58Os1lEjh4Au90OhvSWg7WophXZJFFFllkU2dTe/ISPVU/a8cnFk12njwOwkoUqOUJLZyASFYhE4aJq8tjFnwlT4deNrX38vn8hvo7rDMlGjK92nAsjN4wlTQIrTFRVTEUwqDEonnM5/MzuZT6jKqdZLZRT5FpBO12eyJcy5MsKbj8u56BxQpJ6SXlm/0l1qf6nVRhpjv0er2JsTHVPlMfaKwajYaVy2XP451U9j6fz3twE6FJpgEwDrSysuIgZkGyTITX53iyZswjTFcmrEvaOtEFfZ71zlRj7fbbb/fiaWRyJhIJR9nmfCNcKnacxies3kHWJxO4CeETXiwWi95JTtcej8fu9xpDitlSEJljHz5h8n3W2C0sLHjxL7VlYWHBY93x1B2Pxz0NRyaK86QTBIEHs5FqzwRfxTp3797tQYU8gbOuGyFAIRhUkdFJstvteiiI2qKUDZZsYlyYUHIYptacKJfLXpybOrIct0Oxqd28zNbpl+wQQh2s4CnZGsZISLOmMKgGV4XxFHcgvX1hYcEFqWdnZ718Ei7Kg8HAte3e9763+0y73XaLhKjTrHaqzS9cD4gQC2FEwoOUwSJsV6lUPEiv1+t5R3vCZLpWqVSyWq3mkWMIkao/CGuNx+t11BS8JizFMaCyNxdqjZmuzXaGhUrN1l84kmM0PwgDma3H9ATPEhIhoYb5Pfp9pVLx4jqEN5lnFYZx1V+6D8eHz0mVhGq16nLu+AysS0fatPIVJ6nAjMdjLy5EBQrmkw0GAw+6lJGcE4vFbHl52dvM9AwsmEoiU6VSsSAIJv6Nm086nXbv39LSkqf+wZw4bmqcu+EafHQc+I4RjldqB2OcJD9pjhLCpCOs7zOepfnK6gTJZNJzBvQ7M/OqvM/MzLjvLywseHJbJFZQRo7XJNSomCjFuOnck2Cmfpb0HVVlSBKZVL9On6fEFDfDsJq9mXnFUQ/GItgwssgiiyyyqbOpZRsee+yx7uREuIa0WdLPBSfKU6VCACmjos+a7T2yl0olj0FGxpiMXrG8MAVvk8mkF5CXR8ejdLVatW636+mesdQ9a27R0+p2uw5SoNdOpQgG8ePxuOXzeQddsNppPB53z8k+FFtLp5X5+XkHl4Rp6/pOqVTyBEzDtb548pMn2mg0NiSWUmtNlsvlXFvo8QtanCR6Szhyz5497nqqaEz69CQlAkJ7goSolMC0AJZoCYvdTlKxyGQyHpuU7NHxeOwljpINqnlET1gwm8anXC57EDghTQb0SdJg/4lGb7bXgycLkcnDLJ3S6XRcEJ8kkSAIPIo/FTsIHxIFUXI4RYjVvqWlJY8azpp3ZO6qErjGhIn0hBZJ2OC7yBM0Yb5JdHSmAUwix7Acj5h6RCSYDhIWxjbbe2LhiYgEH36HJ2sxYIkWCL1pNBoe9Z+n52az6VUyZ4oCT3HsT56Mw8nuRGiotnEoChtTu3lt2bLFY7rx5dHxu1qtbshjINOM0AlzEigXVK/XPaYOF0K+FJQ2ImxGSRxujJVKxcP5CSl0Oh1PmYCLHo/8FOlkMUqqanPz0/e0eXEDzmazdvvtt7ufGcNjvIPqF2HVB/U7FcwJFemek4rzMdco/DykgDM2R6kqSlPp2oTtCEXqsxpPwlfsJ8JCjCeS5cgcNF1TvyfEy3gUnQuy9li7ShsH2aSM92jz4iIaBIHNz8+7xZ7KJMxDYkUELVScIxSI1Vyhc3THHXfYcDh0sA8LMRJWZlzJbO/c0bUJ+zFdgXX2FNNkvEZ93Wg0PHFkqmMwbYMCy5RAolLEzMyMVatVrwAlN3puRFSop/oIWcbMxaKjQydIizghfaX+sDKAnsls7yYip1j9ofFl347HY2/zUvhD3+E8p0I8RXWpuh+Pxz31DjrqzLPctGmTu144/4wOCvMPf/WrX9nBWgQbRhZZZJFFNnU2tSev448/3hMGZaVOeRlk1olZxtIYzBOZBA2KeTip/gwrH4dZcmT+kC24ZcsW54EwYF0qlTyogWQDnkhIRlEdJ3levV7PHfOVQ6LPkWHJ5F8mQ7KWFFUjxHijZ05Pn8xFeWdzc3MeTMFTBwkbLDHBgHG9Xvf6LZ1ObxAnVTvIViyVSt4JjaUoJlV/VpIy86/Ybp6udNKRiK28fqohMK+p0Wi4vpGaCxU39KwUYSbbMaykwuD4aDRyHnj4VM3EfCbPK/HUzK/3JMYaYUTeh9qK4UrKGm/CQoRhCaNKH08kpVjMLy3PZyARI3zyIsTLZF19R5C7iC4LCwte/xItIZklrAih+1QqFTdH1V/qD64f2WzWO23wdKPrhitWq780JmSk6v61Ws31j05GJIAQ7mUCuPq9Vqt5bNBMJuNOzFw3wwnPPPVTCYRrARGmmZkZL4+ViBGT3cOqMb///e/tYG1q2YZUV+CGw0WU9HHRZCexbszW4R6qHKjgXji+ZbZ3gdXPTHjO5XLW6XQ8oWBuHpSXUpslLEymHO/JhYU0V13TbO+GwUWLz6XPqt4TEzUJ24VVLvR/9hVpt4zdmPnq+mQXcSIzYZELb7PZ9KjLfAYuvEw8Z20hbcSEa/gspM3rOeVkEM/XZtFsNt1COxwOXZxNSedadBjDI3uSrDDF0rhRM1leJkasfk85IS6uZELG43EvNthqtdymycJ/hPPCCa1hyFYmCE7fIRTdbDY9521S1QGOO6+pvpKF52tY+ULjwGegDNZgMPDki1htgBtCuNYZHZpMJuNR/PkMupZUT9ROJmM3Gg3XTrKFGdcifC5FDcbadE+GAzKZjAeFZ7NZ13dhp45rmMamWq1avV734Fa+v1SO0RxXaghZmpqvhI/JxNT1wqr56gNtWKlUyoUnNm3aZIdiEWwYWWSRRRbZ1NnUnrwI9/DITYYhYQIzv4IsPT+ejsJ1iug1zMzMuAB2Pp/fkEAso7dJ6MVs/YRXLBY9Fh1PAISVyHCidp5IHmHoQ32jtlGzUB4Zg8by/FZXVz2okxJMPK1QG5Eee1hyiEyycNvUhySwUBZoMBhYu9127MN2u+1pV+q0FYbFeAJgIm+z2XTtpDbc3Nyc3XbbbZ7eHU8QzPPSPcNlHMQ0M9s7j3TirtfrXn5Qo9HwktU5DwnDkGlHLTyW4wjDoDyVplIpj5Cie/I9IMytEx2jB3yvyIANw3ycrzqRUBSaeZGSUKJMl8Y7XM6Hp+RKpbIBEtSzMlmXEmqERc3W4d+5uTlPPFenIwkaa7x5uuH7QwSC76XYm0R8OKaUaqPEFsfRzDwBYH2nUCh448XTDYUSSPJqt9teQvrs7KxHktI9ya5dXV311kD+nyQNwt+E4BOJhKXTae8kxrJBDL0wj/ZQbGo3L1JJuSmxQ3iUzmaztrq6OpG5R3WHbDbrFrf5+XkvcZUTnnWHpJFn5h+RzXxxYMIBhCYEMXGT0QQh5k6FemXhk6nGOJf6oVwuuwmlDZKLgfqRhRwbjYY3kRkfoBIA70n4LAyFcZNttVpu8q6srHjxRVk6nbZiseieOxzro0oBX8pMJjMxQZdQCaHBlZUVD7bpdDqehqI2V/aHNmI6NGRYkeHIOl0sNEl2HSE89q2MCdBU1WAyNGOQVGfg5s4+ZlqD6m9pXhNyo9oM+1BpBNT5pLIH62/JRFknvK/+1eZh5kN7YSYnmaZhJX+mMpCxyLgsqyVw4dV7xPeHGzjbwPQJvsthaJr16/Sd5eVll9oSTk3gOHJtaTQaTsM1/C5RYaNQKHj11ih+G45p6vupVMpzTugQUdCYGywh83w+7zkTjEnycEB6Ped7GFK+uza1mxeDkhwQqmwnk0m3EdXrdatUKt7CxxIek+I9UtuelE/Cir6MHUnVg56bFhrGLbipyYvUhBeRwGyvR8RCjGHJJL1YjJNRfZttYWqA/s8YGr1Veu9qk+6jPgyXqpikNl8qlTxVD3rjXAAZMFbglw4JXyQuIKLnS5CZdGfSsicpsKitXOjoVSpfiXJB2vy54bBkjp4zXE6EOTGkYgdB4E6YVFbgCUHfmbTQZLNZ75TOooJ0KBKJhPPsV1dX3VyjR23ml9DhSb9QKLg+qFartra25qEd2nxWV1c97ztcQoSLtq6Xy+Xcd4rFoptf6XTaS7vgyZqxl1wu59Humeek0iMaR4695lG4rA0rS7MMCkkajK0rdsr8QaE3hULBO+mHT6+TSo0wht/pdLyNKJxrxvdH7wurBGidoUSc+pC5XWH1eiJbw+HQzRfmBDJur3WGp0+WJ6LDSIfoUCyKeUUWWWSRRTZ1NrUnLzPzsGiWzZZ3RBhGzBjWpZFnQG+eXqSox2SAMVmVEJNMqhHyKsrlspckSYo1SzXMzs56ibZkxFE3MXxCJIxJyragBgpuigZNbT95ddSQC8eOaEtLS55iABmOk8o7CFrUs1JlQG1Qf+pkoniiTlVhyjUhIkKvjC/SYycdneOu2AgTsvW5drvtnVDpbbJ8C2MvVDlgPFQnDmpPklHHUyGLRDIGRwiQcd3BYOAxF1kQkEgD44s8mUiNQn0dj8c96FVjVSqVPJo6x6vRaLj77CuxWmVXdL1Wq+UluOq5V1dXvfne7/c9aJsxQVG+mdAuBh5TZwhlTYr96ATD0zRPWEQnSNsXvJpOp61Wq7mTS71e95QzCI8R/eD11I/6G9cGspqZBsMSLftS6CFao3br9Fcul924M3lZsCMZx3pHGo3GPotZttttj2XJeCeLrE5ith6MTe3mxeM4NxWqGqytrbkOFOVdE7bX63lKAmH1azPzguxm/kbAe/X7fQ+npyqHJF3M/LgFaa6q68NNgUKljPcw0E/JoWQy6REH9CKQmp5Op704DxXz+VKsra158Q0GrfUi61mZoU9ngqLF9XrdtbtYLHpQJ1XG1TdSwRDMtXv3bjviiCPMzFfMlsqI2smNrdfredARNxN9Z2lpyRUCNfNrUY1GI48OL+hWhB6SJLgZa9yowCDxXubAsJ2cHwzGkyrPFI50Ou3NA31GfUaYW3OZcbpw/IzOga6pv+m5Cb+Vy2UbDod24403mpnZYYcd5tTEW62WV8xVzyaiga7N2DAhJjpUhULBxuOxmwesAMDfM/4tR4N9wDhkOM5stu7EaC5TLaPT6XjzgLJRejbFjuhEkBpOhXrKu3HsgiBwmyGdFkpXCX7WM3ATCKfrcCMiVFqpVNwc5/rGd3k4HFo+n3fvMAv0FotF17ZcLufW4PA4CgrXM/Dfd9xxh2vzoVgEG0YWWWSRRTZ1NrUKGyeddJLnOcm7oeIBvS4FYQl1UB1CXgyZPtL7IrxAb4d6eaS28kRDYd9cLuc82dnZWS/gTA3CxcVFz0OdVOfHzPfGwzReeTq1Ws1Lcty9e7eDkLrdrkfMoPAqT6JhlRGqFMgrbTabHpTFEyYhCMIzPLEMh0PvlEAPPJfLebCdPkdmWpiSPxqN3OeYAE2Chmjzk7QNCdPl8/kNUBgTvTXHSHgxWye9CH7W3KvVau56YQo8Tx307smkJDtweXnZK4uj+6mtPOFp3Ji8rOeexCANw6WEq2q1mmvb0tKSJ4wtb5zXFWOTiiEsFaO+0gla32e/ce6QIUyyRKfT8U73yWTS/Y3zjScvnTzVp+Fx1Ls0HA494Wa1X2LCZLSSYRxO5DVbZwTrc5yjRBSY7Cs4T2vInj17PHFhllsh83c0Grk2UOeQSdK7du3ytBmZoM55QH1YPYeemSxYnua5Nq2srHhr6M9//nM7WJta2DC82KnjK5WK7dq1y8x8yihlmcz2LsIcbMERhULBWwxIeWb9q/BCo8lSr9e9f1Muh7JPVIhX7IZHa9YT4gujtolhyUlFOFATlAuyNgVCUexPqj2TuRheBMmk5CZFOSQtFMo/0bWLxaKnDjGpPpOejZNcCyIhDMYjBUmxNpeegfOAi4GehTlkXAzI/iINOp1Ou3nEuMPu3bs9+jjnF9l1nB9UiuFiQhq0/s12MiZKuS/Co4y9hOOmhGiplJJMJj2mm/qT89hs73ummBM3AtYGC7MiueAzB43xr8Fg4Ml6kR2Xy+XcfTiPw2Xue72e149kt3K+MF5E2TG+25yjYdV/bgJzc3Pe5sj5QkULVnugKvwkMWwzP4dVMS+my8iq1aoXp+b8TKfTG2KwZnvfRf7MceOYUnKv0+l4tcY4voyn8X6ELefm5rz5eigWwYaRRRZZZJFNnU3tyYueDmFDKjDo32brpAh5EHNzc55ne/jhh5vZXq+EsBg9axImxK7R/XkKY94Kg5I8EVWrVQ8CLBaLzltjuxKJhKdpx9pPPG1ls1kvsZilUshs48mH0FzYs6cHFWZfyWZnZycqWjBvTn0jT2x5edl58+Px2NVXY9InWWVqj04DhCYIX2SzWY/8QC+XkM54vF7lVicDBq3J+CIBhiK9hHjobYarLJPx1mq1vMRi5gWSgML8Ita2Yt+Hk7GZH0iFjUql4oLuzHFiPpsYkrovA/xkjIXz+IRuqK8mIQrdbter7isIWmOqk4ZEpjU+REcIP5Hh2Gq1Jmp56uRH8oL6Z3V11Xu3CJlzHAnlqtq27i9rNBpeeRKquFA0IXxyUn+KBcjkbKrAqN8Ijyq3U9dj1WqyCpnIzBp5uobGN1xjTu9YvV73TpwsYxSLxdw1SSyT4AHZhiSdTdLVpBbqwdjUbl7M/ifc0+12Xeeurq5uqH/D+FV4Y9FnNIk6nY5lMhkvnqWFnwtqGH/nhme2zkqkkryurd8TimKSL+EzMoq0sE2CjwgbjEbr9cmKxeKGwnIUomVfUHaKdHCyqsiOY60lvvxaqNWGarXq0cy5YYXVOii8zHiPjKwqMcEYl2HMTN9fXV31WKbFYtEt8Bo/s72Lo8Ytk8l40BHHh0m9fB6OtZ5F1w4rvRA64vwUS1F/Y8Kv+pAK/lR80L81D5noHZYvS6VSDuIMC+ZywdZnxNKko0DnQhAvoUEp1TA5V45LWCg4nEjMOCZjjWRPMqZKYezBYOA5a2TBkvaeSCS8eByZxISvOR5qZ7lc9jZMJvz2ej33nPV63ROubTQaXpIxk9pJUw/DygxRyAjr8r0kw1JjxSKTTCSm0YlguGJlZcXra66H4Tpkunaz2fTi8dzkD8Ui2DCyyCKLLLKps6k9eZG5FASBk2MJQ3j0ZBcWFjwvWd5AoVBwnqw8NjPzgu9me70jWDxl+AAAIABJREFUlramTpq8oGKx6MElPNqn02mP0UR5KSaX3vve9/aqCE+SwVJeCDXq1B4GXzOZjOf1jEYjR05hDgvhq0ajsaFmVljg2MwXA06lUu6USy8wHo9btVr1gvs8ScpTY4VmQSiTdN9ISmCbeDrS88h4gmASuwSAyezkyUl9Xa/XPZiPY0U2G8kF/L5O7PJ46QlzTNVfeh7KmxEGpe4j5YuUr6T5yqTtMKOP5Bhq+Wn+mvlJzhSVJUyvtk0qndLpdDzWG2HeYrHoElc5D0jCicfj3vtMeSlqdqqsi9k6lEU4nLCfToLMOctms9bpdLxxpLYh5akYNtBcEZOS1yaEp34nC3BmZsYKhYIXomCVd91/bW3N6SHmcjnbtWuXO8mp73U9GQk9HBv1B995vjOaN3Nzc947R3m3arXqwekysW41dkSpwhqsavOhEt2ndvNibZ9kMuklLHKD0c/SadNE5DF9OBy6hZeDprpJhBF1vBZUYLYR3zVbx3NXVlY81hmFSbUAHHHEER51njTVWCzmJWmyVHc4o50bmV5EQlzCu6l7phduNBp5k5LsPB7vieFLx9Fs72KkhZYitEEQWL1e91Q+WHCRizXVB0ilJvtRC42+Q41Afo6LK+Nxard+T5irXC67dkpIVn0oKLrZbHoJ2ePx2FvUydrTwiDGqhwsPreeVT+rLarvNkn7kZA1n1nQleYbmWlUEOfCHY/HPY26Vqvl5ps2Ln1f94nH9xYkZCK8+orvGAWipfw+SfGDc5QqNN1u11tcCR+rv9W/rEBAqDOdTnt9SoYjY17cSBKJhNswqNJDZymcPM1UhDA9nwxLFo8lJZ5xyFarNdFZFKuasahJmwIdXsGrcvjIxOT62Gq1vM2ETGaq7NdqNff+hNMv6JwoPqfnpiADHbxDsandvKgcwUJ/5XLZDbY8CDPbcLLi6YALAOWhOp2OHXbYYd7AERvmYqLNr9vtWj6fn3iS40YQVm0gkYBBYp5uWL05kUh4Kg48qdDTYp6YiBh6PkrscKEkxVqbN9UzmGelNoeV11nGJUy7pZIHN18qqIcXRFL1mb9FggM3D/Zhp9PxKPAsxWFmnrAuc8BkjDvw9KN+44mRpVNYuoVB/DBpgP/mWCUSCbfIs0gjNz/2mxZNSvbIYrGYRzpRP1WrVW/BZypBuGSP3jHF8Eijp8q+Np9du3Z5klKZTMaLjVHJg6oR9NgZ/2FclyfmRCLhHAMt1ur7fr/vfubz8LSrUyHTPqgcw99TvJYpHzwZU72H8SI6OsojJBLE8WIsWM8sAWCWLiLBiEgFHcGw6j5TD+isyRR/5rW5Mep5WJVZSBL7mHF35omqnYd68opiXpFFFllkkU2dTfXJi14L1S6ECbNUeSqV2pDVT2iMR2mWlNB1/j/2ziTHlSy52sa+cZLOJiLeq8wqQfsQNNAGBA000gK1Ak0EDTTQQOsoZGW+6Ei6s++C/AeBc/nZDc9BRQj4QZRfIJHxIkhvbmt27NgxM3NYM8uWnM/nwGIaj8f29nYtTEeWGJN9ef3j8eiSJpmoSWtvNpuF97m/v3e1l0jfpsuvUhRqtP6o9GDmS6XIMlcMo6iMuOpu8XO6P+GewWDgGF+yaikQS7hW99d7M/WAkCi9CXnifB961vRkWTqCMCZjlYzN0duTd6PnpidLSJYsQim90ONjf7B8O9Md6MlxDAmDMl4kD5c0caqE0LvSs8znc6dJF3sAhI60Rl5fX22/37vyM4TMKMJK3UZ6haRPp2nq3oFJ9PTiqb/JzxFdiMeU7EUWTCW7VwxFjnGckmLmi15SdULfZXoIWcCaexTileepvxFuVVkXPRvHnfGs5XLpIEn1Z6/Xcx4VxREYLuFeoP1R77ZYLMJ+R51Qqt1cLpcgAK54HhmTZMcSLeFe+5V2s4dXs9l0hA1SQ4sw1e12a/f398EVpnQUYUPS0dM0tWq1Gg4pClESDtxsNnZ3d2dm18NCUBTd781m4zLs40A9g68U+qX7TciOsSUejIpj6H20mahOkCCWRuNahZcTKS5YR+UH9m+v1yvMI6IqiTbTWPpJz0M4Qhv1+Xy2LMvcRs7YlhpjC7oXa7kRflKshTkwglS4QRcVWOTGIHIDiRBqgnX0nHFaBqsdENIkrTvuGxZCpIRZnEenezInR8ot+plVC6jGEkt+Mc9LjUbL6XRyMNPj46MTj9WzURBZ0mYs3KnGoqRxUVNCtiQyEIoiIUAwqt6VsCpFi5nvJJII5wWVOGhcFNG71X9MrdB8Ox6PYV43m83w8+vrq4unER4ksYQHtmoVknBBI6hoD+x2u069ZrfbudgeDTzGqSngy/lOw+lyuTjB3izL3Fgx/YZ5b2okfHymlbBh2cpWtrKV7ebazXpe1NtioLDdbocTfTqdfoACiuisaZo6y57Z/kxCXSwW4Z5pmgaPhpR1ucgUFxW0Ri+K2l/yNBjY1fcJT5JqKxiG7jyteX1/sVgEy36xWHxgrck6YpA3tkJpwZNZyRpGGgc10o6ZXMpy5axpRu9X4p1kBZJwQUiGibn1ej1UPx6Px4VQISE7VbYuUncgoYc1wORpUsRYnyM9mBCg5gPTF6gOUaSM0Gg03NjTg2CZHVZvliVNCO/30hKEDMiSVl/zfQizE0qmd2T2vhYIieqeeZ5/KH9DD57evb6vytv6TJIkDq2gd0ARWHrMp9PJean6maQiMjaVSM/0CpIfSNLQPOI7K1QhREN6nnpmCg7I85S2Kr1cskH1HTInpQ8pdIF10Khqk6ZpWAcSDxDxh3sgdVNJclmtVs4TO5/PLqRBODBmO6qvnp+fw1oik/N4PDoY+CvtZg8v4vakXxIu4oQ4HA5uQAgHMkM/zh3SZ83eB4GTiRuqmmJealRbp2IC4bNut2u9Xs9hztokmSfGPBPJGinmdTgcQk0lxjq46Zh5mIoQDzdHbZz6POMdpOHSgKDRwLiLYgGM9b28vIT7UHaKmD/ZaBI7VqNCCNmFcU6Q3me9Xod+4oKT9JA2qs1mE75P1iohZj0faz9xkTP9Qk39XMSyYopCvX6tg6bYguYO62Rxc4yrHFBhhvOSPzPXTY3xI93z6enJqTHEaus0fAhPEkrWhi7aPOPUiqnQWOKzKNbJ75DhqEaGsDbNImiMsCxVMPQ5ivFqHGn8kZ1HWrgkuZiDRpURSisxL5IsWsYD49QQxgBJ/WcdNdbfWq1Wjg3Lg41s6W63G/qAIQ3FzDUPuIeQOUx4Unut/v3t27dg3O92O5e7p+cnhPiZVsKGZStb2cpWtptrN+t5/R40QOssTVMH41ADkVAYreK4phPdbF3TzEOS1KSLdeYI3cSJ1VQFmM/n4d+q72Xm3XwyF8UQo7VIhhRLN6jF70IrO8syl/1PyO5yuQQrqt1uh+/Q2qQnSY9MeSl6n/1+HyCMw+HgkieZWJkkiauUTbiFuot6ZnktFAcmwUAeQL/fd1Y+k3cplMr8HnqbgqXkyV0uF+c9ch6or+UJM7mUngrhSXpug8HAedPU/2OiNr0EClbHz6ZWrfpKw2wkG6jemZ6NzFAxZPU8zAMkGYTzKEmSMI/q9boTr9ZzZFnm4DOubSYzs7IzlSI0X/leRfNV72pmQVCW3pR+brfbjoHK8RUaoHxFIgWscE7mLvcsih3vdrtA+qKHSvFc5Y9pnWVZFp7hcrkED1H6m2bva7HT6bi5zFIy9Ap5T7IxqQcqwWg1rmWGVfI8d3CpWvw+X2k3W4zyX/7lX8LLczNgvInYrzBqZn0zkZjJw9qYNCmLkj6pnk1YjsnOug9ll3RtsiX1DDoY0zQN16aSR6VSCdRUUfqLSo/HLDweZNvt1h0E2ky22224z8vLi2MCNZvNsKGRtUaok3EtCrVKGZyNsAOhCipvqI91f6ptEEahtFOv13MKKjyomVBKCRvG0EgJ5lgzziAqOIuN0giiaCkPKMbNqKpBBf9Go+HqzrF/WK+JcSmmEfBZ1L8Uj+UGr7kmw4T3JRREg0aHhWBQzQPCxExlIK1bie+Md+p63759c0Yjx4AhAUlm6dlY443J+mRpttvtMMelmqHxURNkyBgl1WbIZOR6Y90zzj09h/pa96fhJEOSKiU0Bgj7M5RBGal2u+3kqhgCoCoIY6ycU4RKeeBVKhVH/afhQlY0Vfol0qs1y3VFMQLG/RqNhv3Hf/yHfbaVsGHZyla2spXt5trNwobT6TRYj5RJYe4QyRKUSDG7in6avQd/ZVkPh8NwLQV1WeGYFZdlKdEtV2Ca1UKZ1MvcIVmOk8nE1uu1Cybrc/v9PrwnLTWVYSEMqsZSJ7FeGfUA9bxq6p+Hh4dgaUlOiVCQ4A1WqTW7ep2EwvSchEtl5WdZ5th1zO9RDpbuqUZyDa87Go1stVo5QgsD/WSWyfKTvBVlfVgGgtar+l2J2fpOnuehD+kVMnFX3pHGl5WDKZjL/CKVyVEj042sxDzPna4fk2fpARNm1/XUN6x/xxw9lu2hlyt4kwF5Ih9q5/M5zHG9Fz2Xb9++he+TWKW1KFhLz7BcLt08p9QbdUFZBul8Pod/k+FIBmsMT7KWGz/HBFsxhPXOhAprtZo9Pj6amRfGpmcusoOuR21CEhyku6hrET2KPUR6RPTymRNH5iA1LnldJjGbva8zzZHlcumqJ+s7greZI6v+6XQ6TnO0qG7hZ9rNHl7j8TgsDOKwxGNZ5C5JEldHiUyfXq8XNoYsy8IClFsdJ8aavU824vmMVZB1w+/QFV+v14FtNZ1OPyQ9a1ITfqI6hZIISfHXc3OTImuvXq+7xEiqb9RqtQCtHY/HgGXneW6bzcaxt3gAM7bFMdBzSkiXmw7jBurDWq3mEinFDtW/1VcULSXNXGohvI8WB+MZLD4p6Jeag4SbWGw07k8mwjOeoMY4agxFUhlkNpuFzYR9sNlsbDKZhE2BKgkUSuWBpzQIlpOntidVDnRYCMr79ddfzez9QOCc0LNvt1vHOFOSfNGYEjJjEi4VTAjV8zDmfB8OhyFtQtdgHLMIMu92u079YzgcOiiVGzNZp6PRKOwny+UyrMd4/enn8XgcDm9R9QkvysDjPsH1pmRjGlVaf5VKxUGcXAesGqDvqemdB4NBmEe9Xs9pkFJlhOxn3Vd9uNlswnj3+32nu0qIVv0eFwF9enpykDMha42n4tCfbTd7eB0OB6fWXrTRULh1sVjYcDgMi5EbCOnTpMNKoqhIEYKBXLPrBiUiBmMK3JR1LXonWtiM+VCFnQUSufgYp2JMg++53+/dZGV+CyufUiU8Vvmmx0qvjX9j7g+z8BeLxYdKueprlt/Y7XbhwFRKAA0PPRv7nBZlp9Nx8azYe+UGSKuUeD7jm5VKJTzPfr93HjfFhev1uns39o/6XUVR6aWSOsxxZymc4/EYvCrmaVFRhoeavD09Nz0ixoV5QCmGwc2aXgfjk6SnM02Bc4cqNHd3d05Rg8ogMTmC3iJLcdB7jPtPzzYajT7koHGdMF6qRlKR5JBIsGFcRps6K1OTsCWDUM+QJEkQrGUuFw0d5fDpnaR+o/FlXxMBiPM09Zz9ft+pgsSKJ0x1IVW9qJLzcrl0803VNfQMrITOPZTrnvl6dC7Y719VlS9jXmUrW9nKVrabazfreVG4lZRvM2/VyhIYj8eWZZlzkwmzUayW9FPqh00mE6esQBYUIRB6NPqd/k/FAV1Xloz+RlyaECJxeXlurO9FSJTYM/HmGCdnrS9BFa+vry5BNy4vwsKFembGn8yusQ15lVQ2IGOMHkycOKsW12GLhZPNrsmThA1ZF6pIgLher9t0OnWKEFSakJXdarVC3ESWPS1WPQ+h2+VyGWClXq/nWJpJkgQrm7GSuG+YPlCpVJz1TE+DQsesCRYXImWdOsbPXl9fC0vJ0FurVCoOJierkLFYIhWvr68uHkd4naw3erwxE1MxG70r2Xoa3+12G55ZOpy8hvYGhgC4ZsnaM/OxTzJAGUuih5imqfNumK5DhIjwpTxHQo16BiXPa3zUBK9qHPI8D/OS/c6ae+ob0tM13w+Hg4tzsbwQEQWVX1JjYnO8B+q9l8tl6I/FYuH2XfUb++Mz7WYPr3a7HTYXFrZj44a43++d3A4PLLq7xMiF4zKgz020CE6THFQsFGr2vsFrcGMFiH6/Hw6FXq8XNr6HhwcHNTB+RiUAxifO53PoE+ZonE4nS9M0BJOZX8PDmIK/yv9gX1GRgtVsi6AfBaIZZCalnmoduv/hcLDT6RTiBlI+V3/yPjwUicfzkI5zmQiv8Bn6/X4Y+36/Xyh6KtILZbn0HcaBKHB7Pp/dQUvFkJhAo+dXrh/jLRSbZXE/qmAwP0efNfPwZrfbDe+m2CIPJkoWUWyZEBGfWekoZu/jSAIKITsaNzEcziKNzOOLBY6Z16e5R0hWcdAi9XoeRBSLVhxT9+WYvL6+OmKYDMHNZhMktmQsEI7XtVk8kkQfhSAER4/H40JZLxJ/dE3Fikga22w2Ljyg7wuaJAmNSi9MEWLohAewCrDq2bQHpWnq8tQYN6SYNclXhCC5f36mlbBh2cpWtrKV7ebazXpezWYzMNBomTOJjtTY+Xzu4IG3t7dgqaxWK2dJytKRZ0c4gNAWISJaWrSyqT5Ai5nuvywjWZ9kEZKMQpjOzNckk+6Z2btHIUur2Ww6MeLVauVqgDHJsQhyU+kGNbKbSOOlfhpZf6onJNYcBU3H47GDm2TdiSpPy43XJtQZJzZTNYFajUzgpGgyvSJCVjFUSas0TnBVo1e43W5dkJp9ulqtHCRDdigJI/SCzK5la8bjsfOI9PuYMCJ1BV2XZAk+5+VycUxCBvuLNAvF+KQYrp6B3hVhR15H/+eY/vjxI7wb6duEuaj8QoIFWaeCNIl8cHzJlI3JNYRoNXbfv393oQLdk0nJ8jDpzdKDV79xHWkeac0TJeI+led5gPNZbkdjWpTkv1gsnCpJrVZzJAuNFb1heqXqezam3nBPJQSvdzfzydRMmmZ5la8SNm728BLkY/Yei6I7znhCrDyvgY9ZXtxYKOLKXCZCMrVazbniXJykCFOGioUHza6TWZOfk48uuxrVNrQhayJRuqZer7tNS5NV2DWVCQgRcXPTs4nJpX8zW545Trq+rqX+PBwOVq1W3SHHWIU2TcKRgj0EqUwmEyd+q75lzS+Jzaq/aABw42Z+n2jzWnhU9ieNn8xHzSEeTKQ/F23ohHo1doKSmN8Tx0SYf8i47uVycfJDMRSua/M7zGfTGJtd2Yr6G5XxyVpjLpUUyJ+ensK/YxadxpcxPLLtOCb9ft8ZARo3wc+k3mtOsA/m8/kHyvj379/N7D0VQX1AFZjBYBDuIzhP64LrNFbrIHxMen6e544pSsYm9wyNsWJE6t+4HhcV2Tn3Gdsi25bxa+Z8EXLV/5mWwDnBsUnT1KU/cK8UjEp5qWq16pwIprr0+/0AdVIo+avFKEvYsGxlK1vZynZz7WY9rzhJktAMWVVkw9Fbo0fCADx/jgOKrEsznU7d/WnNE6aieCytdCohKHir52Ze03g8dqQTWlCXyyVYyRRuZX0ksscOh8MH5h+Td5mkSPiHZc2pM9jr9Rzsp8ZA/2q1crDF8Xh0yZhMpqSCw2azCZAKtQTlyelZeE+Wi2Dezfl8DtditddqtepyAZUrpp9JWmEJFDML7212nSdMzm42m8FzWy6XjmDAUhL0OAllyRui+Kz6arvdBrIAPS0xUFnDjl6Uxmi5XDplFiZ+695xX/M9laTM/Ecy70iWYH20w+Hg1C6Kqh1zvqreGucvEQ0KHdO76Xa7AaYejUbhc1QSoQcvIdyiJPLNZuPYoGQ4E4omPKhnMPPlheLyNfQEqZZDL5lMQa1fjomec7vdOgHimBTFPYSecdxv+sx8PnfrRD8nSeJgarI6h8NhIIPRM+beQg1HesufaTd7eHGxUcZms9k44VXGEHiYUbh1tVqFiV2r1cJ3JAfD2jjauP/+7/8+1KXis5j5JMPhcOhgIYrN6jOj0cim06n96U9/MjP7MHH0ndlsFvBvJdeSzaXn5gH19vbmMGZ+hzGEWH6IGy+xeh7MjEcQQqAKx93dna3X6zDh474iHCeGpeIBZPRRxUI/K5nS7JoMStiCyZ3qm8Fg4CAMxngUF9V7cnFpweveRSkKlDYi9Co2HCE0XYeSYe1228nwEEaMk2pJbWe8h3EvUtCZKEoYVPR8jj2LklLWiekbnFdUq2H9LUJHqrdGdRSJTOt99bn43XQoDAaD8K7L5dIlY9N4YpoKlUWyLAv9y6R6xWcYIyWNnmNAaFDXzfPchQo6nU545kql4qSrdEBojdOYZhiBMB1/z8OMUC5hPsbMdMgz9ME9g0otDC9wzTFOvFqt3D1Jyc/zvLBeGlNQ5vO5U4T5Sithw7KVrWxlK9vNtZv1vMzMQTQMzhcF4DebjYPCWI6aJQP2+334nGojFdXmen5+DlbTYDAIFohysZgIyLIUJFwI+pGlSRiTz8NyFbTomDxIy5GBcdbPkkguLXBaudS+iwVzZblNJpPgcTJo3el0nLepn9XPRSQA1unSv9WYX0Ormp4bZY4eHx8DS7HosxoDsjx7vZ7leR6gxm63G75DEVgxttRnlBwijMr3HAwG4d1ELKGXSokfQsyEuWmZUmOPuUOsjC1Wl7wY5s51Oh1HQiCsxPI+y+XSPQ+Zdlpjqk+mfiNBIU7+pc6imTmCARmxauv12pXPoEwSCQYUzyXTtV6vOwJHo9Fwa4Reh66l5FrCumToFrFoCd91Oh0XhqjX604bVPcZDAbOw03TNKxn5maR+UtvRrAlwwvqH+pGUntTHi9JHyzbRBRG/dnr9ZyYNZOmmeBOMpnEDHQ9MpmJOBE5+ZtNUmZRNrKySHMla0hsQ2rfkV4fs6/MrrgtE2mLNPI2m41biMw8jxeCIMhGoxEGXwUeGWMhRkxqd5wpLwhsPB675yTlWwskfp/VahVgyP1+7w4YwomEX/f7vSvFToYkBUjV1uu1vb29hb+dTr6IH/uGQrbj8dgtBCaQaoMnxKvYCPtdfRUrk1CkNB4HJmpTUJcajKy3xk2LUBoTyhXb0xxhPIAHI+MrotOzrxnTUOMB0ev1XByDsUe9h5mPVYj5SCFo1skrgryVDsLPUSNTjcxf9ZU+R4bv8Xh0qSaca9oU9QyE7ag5SIh5sVi4lBb1OwWzGb/qdrs2m81CPO5wOLgUEsYdGZPUeEhNQgdWlmUu+VfvuVgsHNQZ1xfU5/I8d+kB6kPNjyIxbM63PM+DQaP1wrHSWiJTlTC74s2Elnnoci2pSXybrGt9bjQaOVj4t99+Cz9/pZWwYdnKVrayle3m2s1WUv6Hf/iH4DVQ1Xo4HBaypRTIJqNIjTI8rLHTaDQ+KNGTCMGSCrQIdR1dW5Y9k0upFRaXzCCEUK1Wg3VE/bHJZOKIFWRcERpjXoW8G2qTMRhMeIT6Y6x6S6+SyZC0+KllpmRU5scw70aeY8zypEfBd2DAmGO13W5dvlCc5Mzx1Vjd3d3Z8/Pzh7wvfY6MTdZKojfBUjYMtFNzUDlF9Lb4OTUyZeU1cZ4QoqWSPRNFT6fTB+/H7H2+kKxE4gTrVDHBPUmSkFdF0o50RTX/WUGX7FrC3/JUWK1Ank6e587DY80s6kXGxAw1ybiZvXuo4/E49H2323UEAWrx0UvgXNrv92GOEjJnFQVCiLF4Ack1FBYg9Hs+nz9UwRZCQqSDsnHqG3pRZD+ylhyh2MVi4Sqbk+HLNRLrj3JvIErF94zhYL3D29ubk4pSEvr5fHbs2P/+7/+2z7abPbz+8R//0ZVEKEoeJBbPBEEzn3BIaI6w4WQy+RCTIRxXJCQbwzCkX/MZGNMQbZ5qGUXMP8KG/X7fkiRxCYOCJLi5MilXk1rPI0jPzFOxSZ0+nU52PB7DRDS7aqtVq9Xw+xgyY98SEqxWq4HGzAOLhgG1JPVvsjT1e76n2Il6V5YNGY1GbsFrY1osFm4cGNcxuxoYNE7Uf3oeFurUZ/U5HlaXy6UwHYMwDrXmRKFXn3S7XSeOrLGKN+e3N188UX20Xq/dO5AuTfajmTlDhYcKWYTtdrvwYON2wlQIMduoYagWx3sYSyENn4cUQwKEqFSTTc+t+I36QAZvzFBmLKhSqRTS81VexMwnmqugKMsTcT/i3GXckn+jikv8HZbsYVI717LSPjRW+r3en/fhHkRDkrFOzisqZNTr9RDzJvuz0+m4OPFsNnNpOCoRcz6fXRrN//7v/9pn283GvJgPwlwX5plQMok5UmZerd3sajmQZv74+GiDwSBcg8UkSaOmwKYo1iRcEBvXYcPFos2DlhyDpQx2asEKY2ZOjQ4Seho8pBXH0X2Ys8HCeFok+j0XFvuN1PTT6eTyXNQUJ9T4sIbQ6XStLcZ4opQ7imoN0RhgTKfX6zmKMMWJ45gZ81QOh4Or28V4AMdDLc9zm0wmYbyHw6FTYIhlivT8LBDI61HglUrcst71HcpdJUkS5j6tam1A3CB5KBE10AEVe8Y0QkjJJ0Vbyg6k/lOyiIe+mjwyHtoaX3q5u93OGWsk+DAGSCIV42SHw8F5XovFIhyYg8HAEZ70LMfj0e7u7kK/UemfiAQloWq1a4VnGUD0XBhb1/x6fX11AtOMy3JexlR9ens0gJmOUa1Ww31Op2uhTklVMVeNz0kjgmtRQtdm78Yq5zXHg7G98/laOZs0fCrr//bbb+FarFD/mVbGvMpWtrKVrWw3127W8yKz5XQ6Oe+GLBb9LEqwLMk0TYP1OZlMnAVDSIaWIOEM0rw7nY5jBBGGYbKf9Pf0zPpZMRFZLbRIlFWve9LlHg6Hzmsg004eXpZlTlMvjv/oXow7sKSDGGfUQ6OIqyBAelEscfH8/ByoxHo23Yfad4R4h8Ohi0/o77o/f09rcbfbOTYnS3NQe4/KEPV6PVjjZBiqTLuavB6VEikeAAAgAElEQVSVgaBWI5VByBJlLCquFqxGejw9LX2nSMSU70ALV5Cb3oGQN/uN6QSi3ReV4Dgej07Hks9AmGy/34fyNZr/ejeiC1S7IFV+NBo5pCLWDI0T2+O+4vtovVH7sQiJIbNUnp/G7u7urrBKOvuUbLzpdGr39/fhefI8D++TZVnoG85xrXkKWDPmTWEEPZdgYI4JtRE1jzudjmNoxl4dESuuf5W2mUwmDrqkGDVjxmbmPDp6WJvNJuyX1Wo1IBVMQi8a17+m3ezhJdjMzBzOH7uihKtI1T0ejyHDfzqduqz8WEVdHU/328wcDESBW9KxKfVE6Egbp9kVriL+zEXOWAOFZ7Msc4ckG7FwTbwsy1yuGYOqzPNgUFhBZi1UibLq+wzU0jBQXEy5KExZILlG78l4Ykxg4UbFvBfm5ClWyYXBWIX6ZzqdhmoEgrK0+c1mM1cbi2Qf5okpwK9+J1GFNHW9pwLeXMyE5miEERIlVZ3yUoxPdjodpzhCw4nxDbOr8UX4SzAucyYZB9XG//3792CoxOkTTDdIkuSDIovuwxgaoTGqj6zX62CQKSap8WLcbrvdOlFmzWO+u/5dlCKgnEfdnweooHKNCckK2l86nY5L7SBhgnXhkiRxsDKNXKYLcFOnzFij0XAi3afTye1HLLTJel6ELal0QlkuxqxVyFTXStM03KfX64U+ZHqLrmd2jXVSnUVj/fLyEvr2qwcWWwkblq1sZStb2W6u3aznRW3C5XLpmEdqJEEI6mEdJHkH+rc+R+uKNGIyEUklJTwilhg15QhjEjqKy9gXWSd5nrukXgZBCduZeaaX7k9GnvQUyU5jBV1CGPTcWI2WP7MEQlwLK1aQYDIkE61pvZNivd1uA0MpTdNC74ZepcavKAhMqnuz2XQeIun+hGXpuSVJEu5DlQqz9/Gll8p5QHhyt9sFajgrKTcajTDeLGtzOp3s/v4+WL+EWKmqQS9dCazUTWRyKOFvWeyqWk1vlrqWLD/DPiaBhDAzNS7JYBM5gDR4jSNJUsPhMHgDMTPxfL7WXuv1ei5lgvOQUD9FpdVH8T0FUdOL4LxUoxj4+XwOMJvSWTiPCDuyUQXncrkUlgUh1Z5KLd1u15GKCD/X6/Uw1mmaOgo9y6jQQzscDk6bUO+memgsd0KFHVZP5nqggDVL2XBMOW+YZvKZdrOHF5lmhONiWnYsucIsdi5SytZoM1iv1zYcDh28QaYd2VSEd8gQ7PV6LjZGpg5zeBqNhqsnRFiHE5FMOcohPT8/Bxj0dDo50VMKbsZis/Hmb2aOgSdFaB5GVDAhg03QEftJaQNUOSCsxIKCzBXqdDrhIKLYK8ulcwNcrVZuHjCVgVAJKdbMR1P/UkiWDDiyskivJ5RMKIqszEaj8aEmGJ+B7DzBln/+859dfo2ZOZhZ7zafz126BA0fqcrob2Rc0tDodrsOjmZsjOkcMo5o8GjsGJPUgat/69kZm9a9dW3OS32mUqm4mnFcz+v1OvQNlecF67JQJMW5yUpUU3/QANbzEN4nTM6x1vcpmMv9gH1D+jkNPqq9MzVjt9s5w49rkQLg/X7f5Z0SBmYsl3E3hiTIIVD8jGxKNaYh0ChVmgnlt7TmmRtJceKinL2/ppWwYdnKVrayle3m2s16XmbmguayaFizZ7VauTwVQnCsf9Vut4M1QQtbiZgKGF8uF+cd0eIlG4+BbkIlb29vzgLiPZk3w8D98Xh0taNi9RDW02GGvuDEWL+Q4qRMPiTLkhpw9XrdBXxrtVqAW7vdbngeBrnjBHCqjLBWEr1PVryV9c8ckiLBXRI0BJdRsYBeJb01ag7WajWngEAvlx63ID/9u0jklhAVvQQReqhyoD4gzNbpdML8kzIDIUAm0tOTlfUtfUyWxmEOGNljJDup3pj6QNdjUjDzi4g46HOaexSlZQ6avFoiJMypY56YPiMPnh405wgTgZl/1e/3HfxLT4WkFcLPLElSrVadN63vCy41e0d72Lf0bgjXJkkS1t/r62uYE1qjrG9GtQvOXY2HCB6cOxxHwrViOKo/CXuzP7hvMTeU8DO/T69wv987cXGOCb/D/Mt+v+8US77SbvbwqtfrTkiTLjtpxGrD4dDFwJjYTCo3oQ0dMFoIhCfMLNSfIgtJcFXMGtMzMD4i+EVxGCojkNVYJAEjbJ+HBAViOfklhDkejz+wuSiBxDiKrispIzIB9dyXy8XRzNUI3QqmYMKwxqfT6Thlct1/sVi44n76u76vz5FVtd/vXV8vl8vwM+WY+LMUF7gJFiXRMtl3t9vZYDAoZNQxxsOFqbiDxoeHLuXHsiwLh3mtVnPxyvianIe6/3w+d6yx7XbrEtTVWBA0hrwOh0OoKzebzVyMSBuiDjttdtvt1rE0qW6hZ3l9fXWJ3+pvfUc/M+4oJRKy2xiz1pwiO0/0etYe47X5PtwzqERDOE7f03uyYCOTtqkqE6dCMP7MQ4TJ1GmahjGh1BuNOCXBMzm7iN1K8WodcEVJyrPZLIwpGbRK6+B9aGDRWGLSN5muNE6okKPnU79/pZWwYdnKVrayle3m2k17XjrNh8Ohg6UoUCkrPRbsrFQqLhFQLa6cSvjH7GpVsXS52TW/RMFnWmHyEFlGodvtBst1MBh8yB9juRdZVExAjfONSCCJay/pnq1Wy8bjsfN2mFCq96Enej6fHXzUbDZdBVkGYvU+aZqG/tBzMf+G32d/M9A/m82ClU14kjqWtPKVa0SCA0u5k/lHua/pdOqsXDV6W9TBEwGAArpFJXNY4kZMSvUPYVkSOyj3JU9S/6YkFD03akIKUuL81xxXjp8amWX06Gq1msv9o5AtYUuzq0eyXC6dkCw1FAUxp2nqvC5em3NivV67vCZ604Sc2e/yhvVz7N1xXNWHZAeKiEExAV6bcCCJLfqMEBVBaNPptDAXirC0JKTkIRJCPB6PTjdR92k0Gvb6+upEt/Xzdrt1ggXMcxMDOu53ahOyjzh+em4mkRM+5h4YJ7vrc91utxCd+JtlG5pd4ZLHx8cwiEz6vFwuYaHJxdXAxOKbpMCqc8VQ5MBy4JnURy00KmGnaeoSFnVPFaPTszAeRqZbp9MJBy4hJgl0FonXdjqdsOB5cOjdGDfQdyaTiYslkdJMJQ4yHkn3z7IsjEGc5ElIk4YC1Q9Uh0n9RJVt9jsVPrrdbjjYJbhLKJiHMdl1hAmprE0aPeMWg8HAxToY8yK8Qu3JGFZigVBublR6UH/rWoRhCAHe3d25PqDWHROOqcyv/lbTvNHYMNld32eNuPV67SAqQlGM39J4yPM8zHH2uz7H56RGJQ9MsvUIPXFdkgnZ7XadUUZojSK3jI9KL5OKGdpYKR5AoWOOjdRpmJROPcQiUWmGL8yuDE49sw615+dnB9ey8K3ZNSmYRnur1XJU/91uV2goxGkVWm9Jkjih306nE+YbVTloKMV9Qk1Ks2uIhXvLVxOWb1ZV/l//9V+dUnKsxm1mjmig8g4xzdfMDzYnmHLJSJVlqRPmJfF6WkBq379/D8+jRcHgpjZ4Kl9wkWlRZFkWJpTUJZjRzjwcWns//fRTuGelUgkWGg9gSly1220Xs+p0Om7jY6kSWmHE2UUYURxJ35/NZs7Sp4AoYw4kzkh138xT4NmHig3oHZjbE+cX0ZI9Ho/hO4ynMdeGge3NZuM8ABYHpMVPos39/f2H+CSLL5Jyruvmee48AOYVUq6LHrsMCxZ51DiuVqtwkDDoLuoyDSR5AC8vL44swYA+41RcP+xfrhfNb218Ly8vTtZKjWtUkmPsN6qe6NpJkrjxqFQqbl6RKFOk4q64GA9nvTcPv1qtFsaNVRZqtZo1Go1wyM1mMxfnYo6V1ki/33d5o4zNiRJv5r0WlTCKSxzFfUgCTpEMFcvf0Ktl3iyNBvIIiB7RC1MBT+47GoP5fB6eh/Jhs9nM/uu//ss+28qYV9nKVrayle3m2s3ChofDwUEsrE9EyX2e/nKHzTzsQNii0WgEK4ZJxGYfM+9ZF4cQYKvVcjpnhOb0HTISkyRxODW9vdVq9eE5zK6JqsScWepA1g01yobDobXb7WA1SixV/cYY0+8xIZvNZnjXWHyT8Yi4ZD3hODUyPglhCnaJy0fwe3EfqowM2ZMUYeV31E+k/Jp5L4iiuISOVBqEnp3GgOK1jDex3Iyeh3BgrEupPmDRSc6Dt7c3592oCTbks/GepFzTy97v946yLYiHCd3H49HFa2jpSz9PnytKxVB8U7WgSC1n3I/xTZU9ovdGgWfGMdmfXJvfv38PcTd6trVazRVFHI/HLm6usWMcknA4Y+HSL6XoLtMs6N0w9kPVFK5LvqeYt2bvex73FqZ5cC9gvPV8Pjs2tu6td9C1mG4g/U+W4GEytOYHx13pDtQTLYKF6Y2TS/CZdrOHl2okmfkaM5QfIYyjYDbhKC1Yut+j0cjlS+jvZl4ahRCCmVeKiKskK0+MMSJ+n/Cj3k2TLUkShz0zC/719dWRLxjbonI8Nx3m3hwOByc9wxy5WP1abbvdBkiQ+Tmsj7RardyzxBI7ep9ut+vSHSiUOhwOCzcdxvO2263L8GcOF+M4zKXiGOjA0+HebrfdwiT0GxdPZAyOcQPOPW4SfL84h43kHn1GtacYkC/Kz+HPGo84nqJnK4qJivhTRLMmZEZlFKnX00BhfEPjO5lMgoSSDAiOMQ053YcCtSJfFKmgq4qAmuax6rrpO09PT2GOrddrJ15LwsByuXTzlIdkUWyGqvKSh6MhofvHOXWMVZJIREKMjFkzH1fi/Db7mJdIJX2mPjBmpd/pc9zr9Px3d3e22+2cIHGRQsbb21uYn61Wy56ensLzMFeNay6eu19pJWxYtrKVrWxlu7l2s4SNf/7nfw7WHmEclSdQizXoaCXLAhmNRq7MNZM8u92uS6olw1DfWSwWTsSVyheEnFhrjJaSmfdcaBWu1+tgNeV5Hp55tVrZarUK3gnLgzPoTThSxAdZUYPBoFC/bDweO/YkYTdaq7TOTqdTsK74s5KFaXmReMDSL3GJDZaCIRxRlDwsgoUscAbgFUxWoxVJjzVOrv69RiHbxWIRFBSolUj2pwgwhFUpdMy5EitDFCWH0kMjbNxqtezl5cUpv8QsWDWmLhyPx4AOzGaz4J3QSlbaiL5DGJPeARPkBXPp+/pPfcKxF9ONFdLF9iVJQ+319TXcv16vh58F05FcwlbE6NX8JomGHhJVeoiOMAQRsx8J4XPuawzG47ET2iZDebPZuLkTz2lCpPSO1JjGI33WmISmzxFRIL0+htrVWP6GoYJWq+XmKIXPqUzU7XaDN77dbu0///M/7bPtZmFDM3ODqp/v7u5cLpcGUZsjc1RIo6dyPGVNeHhxsP7whz+EwaVY7Gg0crWGqFbR6/VcvoTuv1wuXf7U7+XDsOS8oCvSTglJEoriwcz/Uxk7SZJw/+fn5wC1qG6YnpVQFuG83W7ncHbCdIReYjV9QghUCefhwQ2oWq26Gm2MYZDxRZiu1Wo5FhRpv5Tb4XNzc2b+CmWU9AxURuAGpn4SK5RirdyQeXgyPkI4nHOK4z6dTl2O1P39vVOSJ2RMuJhsOopCcxxYcDJWGSErlykpjHmRot1oNGy5XLp0CsZbGDMmFM25w/SW79+/u1QXNc03zYMsywrziRqNhpOU0nMU9TXTOUhHJ/RLViBh1DzPg0g2D6vn52fHPma/Mf/rcDi49UZhXFZLiMeXArmn0ync53Q6hflBaDs2AMjqpZpKkiRuLTE8wHeo1+vhnpyj0+k0UP9VNeKzrYQNy1a2spWtbDfXbtbzUm6U2btFI6vp8fHRwSZk6tDSYHC13++7xD2qKTBQ3e/3nXWl/CkF+c2uQVAGf2U5zedzZ/EyV0Q1n3QfWjdFqhHKvZC1RJiqWq06CCK23uUprFYrl9VPqETvJE1I3bfX6znLWp9jzlWSJC7Pi89Nr6perwfPQN6nvsNM/DzPAyuSBJDFYhHG4PX19QNDUI3eL2FlBbJ1bZIImKQcQ0+VSiX0Iech+4YCt6fTyUajkdOejMun6+dYyFbXoKgtvQFWoKZyhz4X5/+YfUzkZw4Yc/Ta7bbT9VOL87wkPKxrk2Ch+SnIXN9hyZssy5w+I0vE6B3VBxTGZmIyyTlxThyTyAk5U/+QFY8J9e/3e1eShV6eoM6HhwdXJZplkHq9XkA3SHBqNpuFbD39TddO09SV5iGMSsYm10u32w0kJJZZ0ef4O30nTdMP+Zt6h/v7+/Bsy+XS7RMkw3DukUk8GAyckLSuy33tM+1mDy9KFnGAeUDFtYnoPosea+YPrGq16oRfkyRxB4QmMrPoCUtI4FPPoAx3s6sckdn7oUBhUy4YbohmvtS2Nqq7uzu3MMkwarVaAW9+eHhwrj2LxJmZo8AShonlcYoSI0nP1bX1nRjO0OSNk52Z7qCNSXCtFhzhCfbHZDKxv/zlL+Fnqu9zA2P6A99F1xZ9mwVBCdcQThRkxviVrj2bzRyDVS1NUwdFMebV7XZdjIhiqPv9vnCBt9vtsLkVKXlTrUGf4xw/n88udWEwGIT1w4RfMlVjpZnBYODK2+v7jMMkSeKgtSRJwpgwMTqu8KDW6/WcSPXpdK13RiirVquF91QaAtNQKMuln8k8rFarjs0Z17/S7wl7UopMMDDnjuYrIWfCuDKmeZjqb4QGuebr9boTZGDVAMK9/Fli4kXqG9Vq1aXKEGI+HA4uqZ0GEt+NTEhKeTFZngIKenf17VdaCRuWrWxlK1vZbq7drOdFa5zsIlp0tOJkjchaHAwGzgInZEXPZLfbOd1DteFw6IgDZPqRbUSPhCUZOp2O/fjxw8zevQZaj7QQza7JfBT/FFz3xz/+Mfxb8ESz2XQWIll8zWbT1WsiK4k5U7I8BZvQe6Q4MDXcGFiP5ZTU7/RaCJ+ZXWux1Wo1V46D2pP6t9m7Na/vyEKnJ8j7/F5+HkkA+/0+WIv7/d6VgdH95fGTBciqtfo5ZoI1m02Xk6d3+/HjR2D6qeSFxpN5PSxbz1xC1WjTfQhtsRIzqy/v93sXwGe+VLXqqwjTU6D3aWbu2Sh1Rq+brEh6N1wLZNpyHgkiphQWtSMJ4WseKIGbic1aM8xrHA6HjuwjmFZ9IEhzu906mIyQM2Hgy+XiYEh6mNw3hA7IiyQsTFk75sOpPyVyrX/z2oRuY4ISPSeiKgwhcI1rn4jZmOobshXp4VFQOEkSN9/JqqQM11fazR5eq9UqLHoeNlQvIHwgaIKK4kywo+gpB4dwi9lVTHK9XocFw++rSN3j42N4HmLMmuBZloUN8eXl5UPtJhazo/gmJ1Sv13N0ckFW5/PZLQomIpLZxf7ZbDbh2mmaOpeeGnnT6dTBAayfxUNWjUX2zLxxwA0jTuJlwjSFfZm0anaNxRwOB5e0TAo8jQlSpJWAzUNX92k0GsGYGAwGTsSVdP84HiijgozC2WzmDAX1o66tnznWUo2JE8T1DIxfqT9EM9f7kWnH5yGkqr6m2gQ3ZTUaizIQi4SYyRYk1MiEZ7P3+aa/ce4SbtIhwlgudQ7JJKYhSwOLhTJ7vV5Yc4xRyfgk/MpNnUxbxqwp2Ms4b5qm4fAj9JtlWfh9vV63LMtcSID9W1S0ttvtutQXjkmapiFUoPfWuzBlgWLeNOKop6h4IA9q9aGKTpq9zz3uM6qEYPYej2bogQnY6lvuC59pN3t4MT6xWq1CRxCzN7uWfhCur8XMwWLQnvIrskC0IclDMrsqUZt5/HyxWLiYFSnslGmJCSNUpifVV89h5pWal8ulk5Tp9/uumJxyj3a7XQjepmnqJhUtYzOvOKKftUmqD5QKYOZTB4i/m12p5JJ9ouIHx4Y5I2qy8hn/oRoJD2PdR2rveobFYhH6k/Ezqg3s9/vwn66hRvV9egyiWNN6JC2alZCpsEHaOecBLevlchn6QZuWPrdarcI8yLIs0K/pFSq+wlwqEli4aTE/J89zV6aGcV3OSaYRxFTzOA3DzBMCSDgxe58XnGMaa1balUoDPT7G80i1p8IN8y55uJOoQu9Exqe+Qw+8VqvZ09OTmb2nxGg9MD1AgsgU0KVqDkkq6s/FYuGIXVS8Z/5kXM6l1+s5BRQZea+vry42yPlFj/Ht7VqxXUaKmT9UpPiv/nh9fQ3P0+/3w/uQZCUUhakeup6eSX3LdfGVVsa8yla2spWtbDfXbtbz6vf7Dt6g5hldZiZPMgGZwpN3d3cO2qMKBpPtmCDb6/VcOQ4l3MlLIBzHDH1ZHYSYpMXG0ux6hmaz6WC2uGaQnm25XDrxXD0nrdXL5WJpmobnbrVawSsjK+t8PgcWX7/fd14gvRB6j3G2PeOBZuasVL1no9EI48a4S4y5Mx7AYoMsZyKvhUxTlhdRWywWoW+l+0bqvixdWpFkWCqeoed+e3sL73o8Hl18hawqvgO1K9frdegjstEEK2vubDabMA4UR6VYtOYRk571bHH8S32jucbYFGN9RSK/+gxVLBjzYmMh1sVi4eLHZDJynVLvj7qUFB2m+ken0wl9reR/qlro+7PZLMxdwnFK1Kanz5gTWcDyyBgL0zxkCRGOKb01xoR47f1+78o1cR7SI+PecD6fA1RJT5Iwu+7JMAD7gIzneF3ovnHB2KJwjVjVZFkz/sy5FyeHf7bd7OHFSckB5eIhZV3BbG7EyvTmZOXiFyxHFQveh7E1boCM8zBznTGVt7c3txCYk8NNebvdOsIHY0SEHb5//+5ycfR7Cohqo9PGRRoya14dDgcnvRMXl1Rf9fv9AFsSVjqdTmEchOWzGCUhHR1kjMMIiqOKBWMnhFE5bvV63alnUImACzsWXCZ5gfE60skpf6T+0vUoQMqUDVbqZkywWvWF/rhRaXNTfIMUcsKBJBgxVkGiiWR+9DNjDBRQ5QFBRfIkScKG+vr6+kG4VmshjmsSwmPshnXuCG82m023TrmJs/hipXItuMgUgzjNhLE29iHXj65hdoVBqc5CmIswKiFNEkYYiyLkTTHefr/vDIt+v++IEGpUzKfKiiA3Go+MP1MhR3Ov3W7bcrl0+a6M35JIQRiWRCb93czcGqOBqfw8XZtzqt1uO4FmGhZfaSVsWLayla1sZbu5drOeFz0kqkskSVKoATcajVy1UFoAZOTx99vt1mnP0boiXBNXF63Xr5VyN5uN8wZ1bXpxg8HAMY9Y24okhFgxhAwlJk0TjthsNs5r4vXSNA3wEz0/UnAlJkqvge+g/pzP5048l3AEA/pxAJ5WZKwnV/Q3/VvXIvU5z3MnllpUsp1sRVHYBZ2yxAMD8ovFIlxXlj37lAQSJvhSVUC6dGbvXpDmRJ7njoEa34fitbFlrD6gVmUMC3McyQbVc85mM5c2opL2egcqpbD22mazcSkput5wOAz92ev1XN/ImzTz6zfWyyMsTLYe646RlEDCCSFQ3UekBiraUERWkC4T6alVqvfM8zxAZnoes2v9LnqPpLCzujeTj4mU6O/6vp6FmqdMYVAfaKwJKw+HQzcnyLicTCah38jsZD8fj0dbrVZOIYMsZyrccL1xf6pUKoH9SOiZCfqC2D/bbvbwKlKO1++5sBlnGI1GTnKGBxZpyDw4mNFOzLrX6zl1irhGDjcaxhcoUKtnk/K6GgVvqWR/OBxcYUludoSLdBiamVMVUf0gQhWavDGLi8wlxpnI0pzP52Gydrtdlx5ASJVjQhmqWFhXvydUYuaz/9M0Dd9hro8OaR54hAD1/ExR6HQ6NpvNnHwWn5MFGynN1Gg0HPOOsJTegWOoTZNMQj3b6XQKmyM3IMl/aeOlcUPGJGNZjUbD/vznPwc4nDk9lJqKDzjmae12O7ehkfbODZGHzGKxCN+ZzWYufsx3Pp1OzjiIVUv0Ha0RMTa1kU8mEwchUo6J99GGrX+Tnad1SmhQcGAsZabxVhuNRo55zMOPxhJrnZFdx3WgjZ65cnpm5jhSuUMxKsYX2Tc88Jibttvt3B7AigZUe6dsU7fbdYojfE5C43rP+XzuoODL5eLincwb1XxlnPszrYQNy1a2spWtbDfXbtbz2m63rmIxS1bo5+Fw6GCLer0erKO49AJZUMz8X61WzkOT1cOEQ5Ig5BbLwnp4eAgW2mazcXpsLFtC9hZhJVpazFkRu1CWU7PZDJZXpVIJlhZ18MSCkrtOwkae5+F9GJiu1Wouh4z1hEgGifNRCJu0220HJTEYXcQcXK/XH+ol6TlfX1/t+/fv4d1YQ6zT6bjkXyaK0jsn7EJtQObusaIvvW+xTAkJ6ufVauUgIv0s7cQYzjLzrETmBOm5CU0X5bdxHm82GxuPx44tSNUH/Z7lXqTHqGvTgo9JDGqCi0moocoICSxUvqGosvIU+Tf1EWFC5ihxbTOHiMnLLF9i5j1W7hdMGGdJnPg+THyvVCphTpHdW6/XHZOREH6j0Qj3Jeqg9ckke4phk8lJPUayj5W3aebHl4nEuqfGl+osfGd6qxSUNrsm2et5mDSuvtMewXJUWptZlrnc0qLST59pN3t4TSYTB8sQJqD7T9kZqVKY+cRVstHm87kbaNbMIWuOB0fMnGI865dffnGUXB6M2tBbrVZQsFcrEhON1SAYWyNLy8wcK+rbt29m9r7xn04nB9uRWUnYQN/XQigqYMeDnpAX33O329l0Og2LnqkDFFrlGNzd3dlqtXIq22rD4TA8J+EmMy+fRakaxrV4CGy3W0f355iaefkjxtwI8RJ2HI1God/I6lKMiHEywkekZVOiq1qtBig2ptFr82N8kew7M7+5pWka/v729uYUJJhgy4T9Hz9+OKkmGh080HUdPQ8TYjUnq9WqgydF6zd73yz1OYoP6J25ZvSc4/HYbaL6vpQeCKExeZ/sS8okHY9HFzfXM8T11sgCpmBur9dzcJzmCEV6yQ5UzIufU79XKhVnYNJIIGtURq/+xhAC4YDw0U4AACAASURBVHi9o/qKTFeN22+//RbWqJR7ikIfTLZvNBruPpRx4zzg/kh6f1yt4a9tJWxYtrKVrWxlu7l2s54XhWQJLTCATTe/2+06K329Xrs6PUycpUfX6/VcLhOtz1j80uxa+lzWFksI0GLn/ZVfRIuVEAaT+kjKmM/nwXNhORDmXLEiqjT6KHtEK47kB3qyyhVRK/JYe71eeE7CUmJbESLQfSg1Q+ZilmWhOq2ZZ2YxOZyED12X0Kn+djgcXBI7+4ZW5WazCR4NEztjMgnhL8Ioh8PBeWuaK4Ke44q/Zt6yj0vMnE6nDyxWs3fPQH1Nr1jkAPUpK2Kv12snzkoP5HQ6hfmfpmkh8YYEFHnm8jIlzWVmrqKwns/syuBj2R7q8hV5LXo2zUWyaCn1RAk2MfqK0A5VtNZ9OHdjmS0SSNSfYhWavXvZmmsURlbjteX1DwYDR/wZj8eFz7nb7QLUT2RAora6H8MVy+UyzN3JZBLyqtRXZCITMtU9qcGqemLyBFlGicQfyoctl0vH/j0cDmGO7vd793uuq6+0mz28ONjUsYtZexyoWCSXcSWqSGuCatMl3MODhImv/AzrIJFRQ6YfKaOKEVFglVg2oT1tMmIOagGRjs7ESNKTzd4PDG7w3PiobCCaa5Ik7sDTvc2uUJCaJjiZforZ6R0IUXG8+HvFdKgEH+vi6f4aA2mxER5hnS1tLDz8dC+mKKgxmTnWhovLwasPYkNFi1zvUpTWwE2UGp16B0JoTD/Q5/74xz+GjU5xU32OsTHGYUnZzrLMzudzgKnIyIsV0SmKa2YuRqJDkmxOJh8vFgsbDofuGcg8pIA2k93NrvFU1g3jJsg5rbVD1qjG9f7+3glrU0mHLGMWphyNRg52ZLUIQp2XyyWMAw/mSqUS+oZxehmENEaL0iIUutAzK7lZ/cOahnrPX3/91cG17NNa7VqQc7vdOoUdxo9brZaLKzJEoj7I8zzMGxnMeofz+ezq83Huk335lXazh1dMR6cStQ4oWnHqQHpY3GgY8CUVm1VrSQ+m0KnZ1UKKi7JROb1erzuaOu+j7+q5RXfmBKeFKfHconyh8/lcqF4vEgQtWeYV0Qpk5j4tSqptsLwB4wkxRX08HrvKsqSJ0/NSk0cV0+B1PRoApKZLGkjvrf6lSgMPCCk4cLMknl/kHW02G+dZZlnmPH1uriQPzOfzD0QgPTdTIdSkjqHP0TP/9u1bGMPn5+fwzppf3DhlhDQaDaegQk8pjpvRoGCum7x8PRcJR9q0tFFrfCgXRO+GeVaxIch4HhX9WdKIQrJS+tcYdrtdZ5AwT5OxPkpvsfgoPQrGxmgYM5eLh56+z9InjJ9RaYaHfmzcqCVJEoSBVUamKCeOz8HYuWJkEupeLpfBK+NYEZ1QvIvPzfwt3Z8SfWpaC7PZzFHiYw/czHuVn2llzKtsZStb2cp2c61y+arv9v+p/du//VuwJKvVarDWRqORo6zKrd3tdvbw8OCgNbrphFco9sqaV6vVynkd+jkWtSTVvF6vu9gNu1tWoNh1fAZaokVsNNWbitk+Zh72oFdZrVYdfk2VAkESZlcITt+fzWYO7qFSQ+xxqm+ZyFitXgscstyE2ZUhxzhbtVq1LMucZVikXcl6Rry/npt10NQul0uwIufzuUtLUH+r8fekUxOO0/uavc8X6sapD3a7naVpGixOlcNQf9DbIzTHWFucVE/FEmpv0mpneRFdX++i70h0mO+nOcYkVMKWKulCNii9IMJxWpeVSsXFAcmOI9pBxibXpa6h8Sbbj3FHxYSo30mGH715ph4cj8fAyn18fHTeiz6n9aPxYZydyAdp4mQ7UpdQsGVRqZBKpRL2poeHB5cmQhiRLFqyrDnuElqgJ6lnIA0/TlVhH7ZarTCO0+nU9aFalmWuBM9qtQowKtVyGAvr9/v27//+7/bZdrOwITf1ZrPpJg5p5uqoh4cHq1arbjPQJEiSxBURJKxF6IXVU7mxsEqtgu5FJI08zwsn0WKxcOKmXMBUzkiSJExWYfTcaEhKIGGEGyrzc3gQqZCh+oYHUb/fd9AaVdRZt4yUYB1Ei8XCCZDy2oxbcGNQSgOhROYBUUyYcC/VN7iRU4mD8cC4agDzWbIsc5AZDRVuqDw0eXiu12sXq3l5eXE1wFhbS/NwPp+7a/Mg1bPr2voO88x0QFKmizA3FSHUn4oXMd7HigiEMhlXZv9yLtOQYxWHWE2BkCJjxrGMFckcnC9U8FcxSPVRLHWmcWAtLELBd3d3tlwuXW085mOqsZApyUIihsUySOoPqtPoPVVoVNcnCafVarkwiPYmKfmQXk+5OKaAqN/H47GDAGu1mouTc70wzqZYt/qK+6MapeLSNHXVG2ioUHRb7/p/0UrYsGxlK1vZynZz7aY9L8IG1CakF6Ym61nWAC0iKROYvbvmtKhIAiDkVqvVXMIyS6KQybhcLoMVNx6Pnc4dA7SbzcaxiBjsp4enJrYTLSfqLv4e1EnCg4RPzXx5E0IqMZ2cpT0I69Bipsc0GAxsu906aIvJtIQt9PNut3NkFLL46KE2m83QZ6vV6kNCqd5bz6CfBXEJXmUdNcJfVDaJa4vJG4+pw4Tm1OT50TtR4zwkIUEeBAkPTFHQ8/DZRLzg/C3y9Om9at4R5qVALZP8yRKLE+pJJ9fPeZ6H/mg0Go5tKPahnpOEC5J7YkIAS8ao8TkFfxHaomIHyVyaR1KaoSoHyxVRYUPXZXqM2Hlcp+oD7lPD4dDNNSay9/t9VyWdsPKf/vSnML4kPJHwEaeWUC+TDFuiRGZeNJf7nJ5J19b7xPX89FkJFmgPIZmK32GtMY7hZ9rNHl4sZd5ut0NHMJbVbrdd7EaxFLP3jU8Yd5ZlgdFDFiKZW2bvgyvXmAchlTyOx2NgCpr5jWo+nztqqQZRk1Wbxtvbm4NoKE1EejIz1yuVilOFJr1Wm442PdLJBZlRITou0MhaX1SlIAWWsB/jhJVKxamE6O9qlHBizI+K84RbCX9xQ1Wsg/dVY8zNzAJrTnFGGiQcL8KY+r2gZzIe9Q6//vpryI1hXEuMM21cq9XKKZ3rZz633p9wp+5JtXZWNBA7T3JU4/E4zHcennpX9Tup6mSGLZfL8Gzb7dYVZSU8eblcwrysVCpOskxjPRqNXI0nKp/TEGy326EPBcmShat78pAmu5aGjZlnNbJWGZXSdfjqeUajkYtn6fs8sGm0iBpPgWQWg9TvCT9LtqmI+Uuj9HK5uFpY8eFeVO2BbEkZiITqKWvFfEHNcVVoYM03VuAgBKjD89dff/2gLKLv05Dk3P8q3aKEDctWtrKVrWw3127W8yLUR1iL7v9wOAzejKxv/a1WqwWLhlpzhFQktMpAOfOfKF4rq7jf79vT01OwEGn5mVkIfMbMMlqpm83G1VuiF0U4goFuei60lJgUKKuJ2oa09GXFSXFA/am/m3lLnwFoQklkj8nqI8ORagjsG2rvEUoibHg4HFxNJZbyIIuOlt/xeAzPLzhO92dSLmE/JvLSKmbf6/70xn/8+GFm5nKNlDej5+H7sBot30daebTudT0SVaSLqe8+Pj66MhXyYigkS+KPoDmWv2C+EGFDzvc4sZhwmO5DiEt6jGRDUo3k4eHBzN7ZbPq+iEuENMkAJSRKncF4fMhKJluR369Wq8GjYYI6FXuWy6Xz7Akrn04n953fQyrUT81m05EiKKiwXC6D+DT3FiW7a98jQ1F6hHHTu6jfR6ORI8TQeyZUSqKMGKkaK5KANPeVq6c5kmWZU6FhGETjScThM+1mD69+v1+40bCsOtk42iQoXkkF8CIcV3EPKijoMCQkqYRSsyvUQgkXQQNMeGbCsiSHyBAsqkGk7+k7lAziYRiz2dQHOkgISbCYo55ZBQrNzMUS4+ehuDE3lSRJHHOL8TjWsuImytL2YioxaZrwJOuoMWbHDYjMUsKGlA4STZ6J3pQSYhKumuBVzSNKefHwjAWDuQH0er2wiTEmwrkyn8+tXq87SjvjhkwI13MmSeKSYskqNLMP8SPdp9PpOBVyNarSs+qAYiAa45iKrfurigH7Qc/w8PDgNnXOKSrPM3mYsRczLzbLA5vVIxaLhTOk9D6MeanIJanqhNqLJNBUH9DsyvQjq1Df4VrgGtE60EFEyS7GhThfJV/GagdFkl+cR3oWGrlFQgnccwg5anwYY1XjfNrv9w5OnEwmTqRa16SBqLX/2VbChmUrW9nKVrabazfrecWSIxSeVCMsJe08WZaER1jXqtFoOOuOgVCzax0eVqllIFoWYFE5AXp4eZ4HS2kwGLgS9hTWJeRG3ToF9GXBEz6KKx+TAcf6QmQiMpmTpBVdg3laHAN6E7qWEhb1zpSoikst0JqXFSkRZUGshERIYCEks91unQfOADyfmxCdRJR13zRNnYfIsiUkhrCsDK1PzhNalarBFGv1qT/YYoFlejRM3qWkGLX37u/vXakdwua8p55lu906iJMJ2CQ4MWGcELnZ+9z5wx/+EJ6BniAFbk+nk8vNisWbdU1BUWLxko2p9RdLdmmsiTKYfay8TW9c/Sb5MCICJLDQc9Nzkglq9rF2mcaKYs8xM5VsW2pkMnRB4lG/33eEoliEXI1zRfOYNdZIJCKRQ++mEISe++XlxeWnqaQJmceS5fq9Wl9i57JenK7/2XazhxeppYQaGo2GY+Rp0MROJDyiQRwMBi6GwAlidoXqlstlWBzUc2MSrujKxJI5ybVAGCfQQiAsRCYUN3i9p+oeFeHccXyErK71eu2o1FSVZ/yKTDtutuybWPiVfcM4G8vOsyQ5D2P2jdhnGivGAwmPsGClNNxIi6amnRphqN1u54qK8j3f3nzNK+ohxirZsaCw2fumyWT3GMKjugQPDt6fxhahStVy01jpPqwRp/ej8CuTffUsEh2mcgSrDjCdhCLBLFDaaDTCfVnanjp80nAkc1brR7p7GgMaUayTRVUOJsV/+/bNQV7UEKTINBPCqdsow4J6lXruatUXx6ThpJhNnIBNmI7xuCzLnLGoWmpm7zCqNnXWrCNzUPGrOC0nbhRUjtMaGDdn1Q3uU4LsKeBNiJXpRjxwGRbh+j0cDsFoeXp6coonX2k3e3gRj+fmlCSJWyDqIFkC3LhJM6f6NTt3tVo53J5WKTF3NdGbNfmSJHEbL+nkfH4ukpeXF6c+TZmjWEJK106SxJXP4MSgV8rgKTdLbnx8HzPvbdFipdKDAtC6n+6/2+3cRsEN5HK5OBrz7z0npbP0WTOvGC7RV43VfD53mfz03FioM0mS8AzcxCXaq9/LG5DBwLgZDynmrfEzbBxHxhr3+324lshG3GiYC8UNkxJhjOFJYkrXJgLAQ4nrgmozLGXDOSDPk4YhyS0sn6ENXvlG3Eg5PlR90abZ7/ddZeZKpRLGgZt6jFRsNhsneMu0E0oe6efX11f3fq1Wy3ngjEXT6CBBqlKpOOUWlnihN0J0geNDzydGdZgaQko+jYsYiSLJg3sdJalIlX97u5Z70vvRo2eFZErPcU7xIKXsmd5J783ctq+0MuZVtrKVrWxlu7l2s54XvSUqXBDvHQ6HATLo9/tOA41wmiAnM19qIS5BYGYONmAchTEzsZfMfFFDWjZxGXEyjMi+YhIrS5UrTkHrj7ptZDsxyZPeWlx3iOK3VCggDZ8W2mQyccmLstjJDpQHQ2iLKhY///yzmZn95S9/Cd5mkiTO0+IYxFApy9wTDiMTixYmv6u4IecEtQ1ZtkRWcZ7nzspl3IKeF2Nz+pkeI+EVFtpUvyspmHCrGtlb9XrdsVEJLdfr9cLSLYRe45pdy+XSfY5KHExuJROSQswsjqlr6N2q1WsZIaIiZGmez+ewdhTPY5yJa4gKNVRNIdOUiecUEyAczvp5ugZZvfQKdR8m0ccC0Iybx1AxtRGpA7lcLh1cyrWsftL9qDmov93f37uaW/qMfs8+ZKqLnpMwbqPRsNls5piFjMERfmbMl4gNQzncj7IsC+IQvP5n2s0eXtzge72ekxqhsjHjMMwTUc6EmbmFyMNPMQdu8LwHF7b+Jnqwrk1lhFqt9kHN2+wag9A1VquVUzPgJkq17Gr1Wsfs5eUlTApm1O92O0diIGQk8oGZx7wpXquAL/N9uFFRLZrxGW6gFDqNMXjl2rEyrQwTUtTV4gM7fhdCohSi5bUICR2PxwCXMqZBQdfdbudEdpk3Rngkho+pLE5qNcea84DvrLgJpXT03JQsIiFgOp1av993mx3lyEhg0e8FtXJua46y2reZOSiLRAoK8DKXMhZ4Zo4g885oRBGyU1+TtMKcLx70aoLzaKzE0LJ+1rpSLJxxIlZM59xhbDyGA9k/nBP6PteLDljS0Ytk4Eh7l9q7jNk4j0+f22w24TPKdyQ8GK9tXZsGGuOt+ns8BnH9PJGm1LT3UqT64eHBGQNfaSVsWLayla1sZbu5drOeF7XWCAdSUYKUbwmQEl5gnR1CGBS1NTMHSTKxWd+fz+cB/pI1SItV16HGFy0yueLUY2OQmEmKtNhZR4nZ+7GnwaAuWY2LxSJYbr/88ktgfVE5gwnY8XMzsEyLm1Vha7WaTafT8B2KrZLtNJ1Og7UoGrQsW4qrEsKlhayyHrTaacEy8ZWiw6SwE+4knEeIervdOo+EZJSYLcg5QAIKBVXZKGwqMVUSdPRsVD8YDAYBrhWjkMiDGqnLZlfqe5Zl7nnoBZFFS9UJeSkkg+j7hJhjhiShR1r2hMwoJLBcLm0wGIQxlQdr9r4udM+np6cPKR/qR3oX1BM9Ho+OvEXkgdAYYWE9t5mvzac+IyJBT5T1Aan2EVeA5rrifTgPB4NBeJ7JZOJgO40VyRNCCbROqtVqQA2SJHF7m+aLPqM+oFcpmryuTXYrWZaEYUlGIWrwNwsbErYgxt1qtcKkpuIClR3MPJ5PuIebkeJigrMYPzK7wiiTySQI+/7888+WZZlbwGpczGZXrFxUebKqGEdhLgfz1LiBMK5DaIHiwkmSOAmX8/kcRFxVK8jMq3WwHpiZL2C32+0KaeZiX+mZCfGu1+sPklManxjqpPwOD2MKJ3PxUwaHtcaYp8Yab5ofTGtQv2VZ5q7Nsu7cHC+Xi4v7qVEFQ3lZlJGiqDQhJhbqpBr/arUKn2PsRikTZtdDnt/R9QgX73a70IfD4dClGHBdsFFyiWr1ege92/39/YeCmGbvUFSr1XKxIAlY0xAk5C7DKZ5/aoREKU1GMWqON9NbCDv2ej17fn520mKMeRGiZQiA9dmorB+LeTN3jwcMD0bmgHJvY6hBeWp8NtbwouyZxlPfp2AxY6TqWyq4SIyY6SDkF6gPua6obKNGeJ9GrvqHe8ZnWgkblq1sZStb2W6u3aznRUUGBkLpvsdlMU6nkwswykOj0kTs+jL/ysxcAJpB7zjnjEwzlrenN0DlACab6vpm75YmobCYhaR/M2dGHpb6hhYUr02dMQZyKSxKS1V9RW00WpuEKpg0/vr6Gizw4XBoz8/P4fuyvlgGQuwkXZt5MyQ4EAIRDEXIjHqGzLvjPRnsZxkTEm1oIcpy1Vh1Op0At/R6PZdYrd+TBKLvFNVeo6KGoCPmIpKcQq06zqMsy4Koa5yfSJUUeq+EIakuob7TmKjJwyV56PeUJ9Q6nY6Nx+PQJ0QASKwiiWE4HLoxpQderVadN8wqwMxzonrO4XBw9a/0fZEdSFhi9WVBZayWLLKP2TVRXBA8vSMSmZiorvlNFi3hRTL6CGcyT4sQOIUBhsNhmF8aK5JR6IEXeWHUDzXzXvvj46PL6SNxiYiLnk/PRi9Vn/mbTVJutVoulqTO2W63rmAcISEzc8K63JS4CTNJUkUOza4l7XUfStGwLhaV6GOqLhOWyVYkpEIIjRua2VVSRYuHiZp0zXlPxbJeXl7seDw60U7CT1RZIGZ9uVzcgUV1dDKPqCJNtQCKJS+Xy7DIecDwMFfshykGReoUXAgxO6pWqwWjYz6fO+iVLDUmvlLoN67rRbjneDyGd9hsNu5gjaWazK7xFRk4FJhlbK/X64UYAus+6do6/FTLzcwcVGr2XsOLCbuEgnVPCiorlkb4SZsoN53z+Rzm+3K5dIrkSiZWI/ykcRNLlYec/jYYDMLPPFjVTxpjpqdwLVLG6nQ6ubgbmbKkxDONQEw7wreav41Gw9Wc0xojLK31T5WRojQLpjUo2ZcHMytj8JCjMcA1PxgMnBIH4WMq8TA1g+tIfRX3k9R/tE+sVisXK+SeQdmn+NDWexP6bbfbTkz8K62EDctWtrKVrWw3127W86JFE8MeanRh5Z3RclKjRURdQAVuqelGS1TWOQUzxUIio4d5NyRcyLqTvpyuQa+sUqkUQiXKQ6JED2Vj1Hq9nv3lL38JnxmPx07OiO484U2ypch+oqdAwkSv1wvPRi8yzqEhrEuostPpOBFYSg6Rfcn+zPM8wEA/fvywbrfrdOxYG4u1vagpSYhMTEKNlVh8rGj8+vpq9Xo93Ifiwgx6E+JlbSkzL+XDvELCM/KGYl07vZv6gGLCgm7plREyo3wX4U0mZ7fb7UIoSnPU7OppsVQIZdiYLyTvU+/Gz+kZsiwLXhDzlbSWKJjL3Mwi1EBCy1oL9DRIiqBUm2TKyJ7Uc18ul0DGGgwGrj9ZJohzSVJYGnM9Q57njm1JkhVr+NFTImFD84brjzqhLINEAWISiQ6HQ1hnFOktqpum+c/aXBQqZt6c4GL1z2g0cpXiiYxpbBiO+Uy72cOLbi5hOkJJXGCEEs18TIPuKzUTxUajq89NWAN3uVzcxI9V2SnsyYNI9xUDhxsV1S7izHo9iyABXUMTVtqAZl7dXKXHGR+kOgDptOo3QVRkTxISJQzK6+pQoUCv+orJu2RL6js6LIoOWdLHqfHHhFc9J+NXhIu5uceacNqA9vu9qyCgZGod7HqHOAGbBg3joDSQmNRrZo4RyPekggITu5kMSjhRQrzsa11vPB7/7jzu9/tOwDdWPlff8N3e3t4+KGGYvW9agubIVFX9vSLdxfv7e6cJSVFpqpZQFFbCtvHvYwHu6XTqIFhCqnpm1e0j3Ml6fBof9gHVMnRgc14WwX6c71K60PXY76T3U4tT39M4jsfj8A7b7faD2r/Zu7FFg5OxU2pnKo3GzIJ4t96BRnOSJCFmzfkxm81CeoeuHYuIc3zMvp6kfLOHFyfifr8PE5mThUKaZu8TXlRoqm0QR261Wh8UnRm0puySBoE0VS1SUmAZCGZuCdXRScMnxsxYDuWCzLyHtl6vnbXGn7kxMOZFGi9jFvS0pHBPj4AZ8lpwSZIE5WhSg7UZ8ZDRzyogaeallTQ2lNxirovGg7RdWaH6Nz9Hsdg4gG5mIeZFEWRuooy1HA4HZwBwc2TezfPzsyOW8F3NvNWp+Nnr66sbXxo4NLbYhzTWVISRxgFzvbipkRBEOvh8PncyUNxo9P3dbmc//fSTK1CodzscDuHQpxElr0ubKKXbOPc7nc6HApa6Hqst8ICg3JVipRrTwWDgyC2M8TD+RvIQc+VIEqFKPw1UUdippMGyMFTOYCxuvV67g5WxLb6P9iwhFVq/SguI+3C5XIa+NXufa+oPimlrLpt5AWMZ4yR4aR5kWebyUVm2iAr+9/f3bu5Rgu3/Ks+rjHmVrWxlK1vZbq7drOdFzJmUaVq3y+UyWDZKFCWFlCwgekSCQ0RZJdShRlYjxUOFn9N6lEXGZE6ybnR/WV4PDw9Od43QgL7TbrftfL7WLWK2PnXXqOwgT5TUe1qCuja1yATB6D4smscaUZfLJSQ8dzodV/+HXpCZOS+oCF49Ho/W7/cdw4nMTF2LqQ9iK1IsltAPIUQy6wgxkQEXW9yE80THNnv3ZqiAQpiNUDXnZa/Xc0VE6c3HjYospDLTsietWVp2Zu8e2mQyMbN375JoAL0w1syid0/ImuOUJInTJmSNNsYa6Q0oFsf4DdU36A0z+Xg0GgXrfjweu5+55vWzWISkgKt/yBBsNptOEJkMvdPp5GLo+j1p92RbKt1A62+9Xoex5D4RJ6fzPnG5Fs2p0Wjk4sosMGpmbv4zGVtrSSK97J+iWoFEPna7nSVJ4iBAMiv1PIvFwvUnocLHx8fwDO12272brhvXTfxr280eXoRLYmIGIUTGuEajUfg3ixXSRSZ99HK5OGz+crlWNWZVVmbE6998Bk02Xc/sfbCJZVNUlhRyFsAknCHMnCr3ajwUGJdSrISxOsY+mIMTQ6WEFAg78EAntMYDod/vu4NE9395eQn3Z0FCyWARHlSuDQ9fEmDiQ5LwG2NJVEkQvKtnoIoE8wBPp1OAQzqdjoulMu7Gg4hkGpEg9Ldff/01yIktFgsHnzDWyRzBxWIRNssY0iEhhGr65/M59BuV0jlWyhXSHKPQL2FLxk0UN9R739/fu/XDucK8ytFo5MRjWXyV8BmFsHlIMEWBaiRMq+h0Ovby8uLWH6WJ2FeU3jK7Kr6MRqMQK6akFCtOxzWzut2uSy8hVZ5VjdUUM9O7sbgl5wpj+zrkSanXXsWDnXJqi8XCpVbo3fW+NIiocqJ4o/qUIRo1jlue5+7QJOmL62q9XgdlFe7bn2klbFi2spWtbGW7uXaznhcp1yz7EZcqkHUmb4YBZBEMxJ4x84m3/X7f5vO5q9vDRE+qO8haXK/XNplMguVFFh+VPKgqIJedmeeyrkajkbO8CGUJgjR7t7xkLZJUMZ/PXcIz++18PjuoRI1ECCWX0jshsYLWaxHs8fPPP9t8Pi+8D+EEJoAq4K1r0zuJRVPVh6IQx6VL1J+x3pyuS+UJWrztdtuJkMoqnk6nDoaMrVwGownDxInErGlGWJrWLj1okkmokhAnxPZ6PTdHCMXKo2IifiwqPB6Pw7y6u7tz9aeo0MF5TcIUad6n0yk8J6+lsWMiMGEpJtFzHpAgNBqNwnMyiV1qH0yoBX342QAAIABJREFUZnoKPTx6YWQMC07WmDDNQvOA9a7W67Xlee7Km5CsU6TlJ2iuKBWBpXDk6Wvc9Vl9TvfhXlCr1YIXKCYoxbDJhGRahK6RpqnbG6rVa1mmRqPhFGNIvmKIg4LenIfqL93zK+1mDy8KvHJTJwxkZg4jZ9zgdDoF+nOcV0WMW78z8zRPqlOQ7aQDjzV4KCDMQ0ATTBuBNpeXlxeX/c/vk31G/Hu1WrmDmZJQ+o7iflwEca6ZmYdhBCsxB4XQCZmdatVq1UnqxNAJJy9ZjrwHN3/dS//XtdbrdRibzWbj4Ik8z10eDqFgVhBgvSQyQ/k+FErWIaJ3IIbP92GsVCkNPNw5xzRuhKjFQOXBpo2TLL5ms/kBVqZxwg1ac4IMWsVnuMGykCqV8dkoykyqPIWFG42GY5npvfQdjj3VVQSBC77S5xhzokwZN0ZBtxqf/X7vlE30+8FgEKBgGVGEnNmnjHcyFsY4IZ/zcDi4OCRjXmSzCgI18yxp0t75e+1zPLy0v3U6nbCfMCVHDGPmWenZyP7kd8RiZK0wfX8+n7u4MhVyWDWAIQ2za8yUeV4l27BsZStb2cr2N9du1vMijFKr1YKVQDjDzFweA91swhvdbje4zPRaBoOBy5mKlSdoleo7UnNgMjKFV4tKtOs5yUokhEB9OHlKsqYIx9FDIwRH5Q3mvtGCZw5MkiROT47KD61Wy5WIoBoCrWsGopMkcV4QoTFCYQzUt9vtAIO2Wi2nGUj1Av0+TVNbLBbuvYvKStDylCdKcVGSAPR9aiNeLhfHMKQmI8vnxEFulqmgSgGD1pyTeicyTYkOyDva7XbhOyp9QZhN9+GY0puQUgvHR/1DIdrz+RzGWu+hz/3hD39wlj29llg/VNfb7XbhHciUi2unxcQIqlgQElWT98n8NJYa0Zjkee5UPfhehPelf2nmCRL0VAR7cp/QtbfbrWN5UmuV3jCVSUTG0jOxyjuRi0ql4hAevrOek6V01O8knVHUWXvodDq1+/t7tyeqPwi9ku3cbDYtTVOnoUgBAiExJKr9zQrzMqs+pkXr90y8WywWjgbc7XZdrS9i9ur01Wr1AWZSiwsHcuIx+ZexAh64xI6VcMlkZuLB3PQIRfHA4LV7vZ7bQHioUYiWJdfjRULxTE7+zWbj4DyqqxNL18+CIwXBxsKrhK/UJBUlmGy1Wjn6t/qA6QUSNqWyCNmgimsKmze7bpRkDlKcWPPj27dv9uPHj3B/HpJkb5Iqz8NG12O8hTJJnJM8VGRw6f2K6r1xTmuz13xJksRtyJTiYjUCiTyrr8icpYpNrHCv987zPMw3QlH8jpi6ZExSWJvyQ0W0bF2Dyfs8IChKzXXPoqQcA8K9Spdg/Ikq7IRy9fxU9WE6gJnfoNkH6jv1Ow9AMvUGg4FL3udnyOasVqsuVUXPs9lsnKAzx/FyuTiokYLIdAZ4sJFeTziQMUCxRIsEnqfTqSu+yr32K62EDctWtrKVrWw3127W82KeCXOPKpVKCMSyHHer1XL6cpQpWa/XgSyx3++dBcNEXuqK0bKIE21pBcVaXrJm8jx3WmoMMjO/J89zF2QmI7FSqQTLh9aR2dXiogfRbrddIm+z2XQ5NIQwCA3Qgzifz461Jo+EECCZYMrFoqQNITeN22g0CknOIi7Ie91sNo6swLyqOM+NsB2hLNZaopUuGFD9I2+AEA8FiJVLpeemPNR4PHY6fJoXIhEUsVNp8RLOkxSQ5hjFhanDR+t1MBgEtMDMnMdL2I9ehrzfItLI8XgMjFzCnhKo1jUIL5qZg5IpB7Xb7RwblN6JvKgiEVgSUEiK0BzjnBLywe8w11PfJ7SYpqlj+5KUwMRiErPIgqxUKrZcLu2nn34Kz6D1p3Ir+hwJLESJCPWTVNXr9T4Ql9Q/8/k8zHsSXUiQWq/XlmVZYe5etXqtQB8LCZAMxRxUSlydTidH+KrX62G+EUalRJYSwv8v2s0eXsyIj2NP+jcHp9FouEUSZ3eTnUfIgYckY148GJfLZdhcVTyONYAYZ+NhyhgRVRuoME3B3cVi4TTgCCNSX47Mp8Vi4dTiGYNjHyRJEtQYXl5eHBYeC8RqA2Iir9mVEciEWqUXUISYTComD1MTj3RwqYnobxrD+XzuxG9ZDyvWMNRGV6vVnNFC+JabBOFiMgKlpE1GHOFexj0Yn2EByViRpci4keIJ1d65gfAwJRtOcJSuRzWTIhXvfr9vp9PJQYp8BkJhNLYYYyW0TEiy0+m4BGFCeFQtoaI51THIZtX1aPioEYaNWbiifet6jOHF4074lrAhWXEUq9X3z+ezTSYTFyNi37APY0p7UUxRh6l+T4OVh9zb25tbi2Rca89SCIIQrfqaVTYajYaLpXHN0YhiVYZ2u+3GkN+hgECtVnOxedYD/Eq72cNrsVg4BQRi2dy0qGhhdrVUKf9DqSZ6HVqEOgypcGFmLg6j+Ne3b98cXrzdbt1mEhdMVKOFGceZ1OhBxJi2Fq3elQUONaEoraSmA2s2m7m+0QTVQlQfZFkW7vPw8BDem97v29ubK4JIT2E+n4dnGA6HThiYG4MK4qmRSs0FxxjIarVyRAZ6PszVI8Waig6xWoXa3d2dE7tlnKrZbDrqsRqD2Q8PD7ZcLt2Bw82ev9d39Pwk1Ohwp3r39+/fHaljuVyGz8UlOKgUQWIKPUnGMajIwRyrdrvtqkZLLkrPyby3OMbFlAfNHc4DpUnoZym06No8MOQV8v7j8dhOp1OY10w1oSFH2SY19RX3k81m43LyNFZUx5HiCeevGo1KxmRV4YHjQy+G1yKKQho9W7VaDchFEeGEXj9jfaTHU02FhjaJNjTkaEC0220nF8UKC5yvlHT7KmGjjHmVrWxlK1vZbq7drOdFhtRyuSysj8QCfLIsyKghNbuIZqpr0Fuh4gGtcUKITGBk7IZMLpbGFoRCDUXCBnpmJVrrO3yeRqMRWESEN82uFrQ09ii4SaorYUfCk4Qn+N5vb2/hO6yvtF6vg1UsSjO/w/gEY5XUhqOwMVmRvV7PKSawrDtrrzEOQgUICvHOZjNXwytWh6CFSViZ8F6n03HxL1mVhIFfX1/dc6sWm8aPhROZxDscDsO/R6NRIWOTsYlms+kSX5U8a+ZjHdvt1hVypAfS7/fDfH14eHDPydQOehekaTNG3Gg0wrtlWeaSoamkQUSAZTp0LXrKZO7SU1G/S0mHDEOuRc0jxmi1JgQ5DwaDQr1LptF0u13XBzG8ydh6EbwqNKCoxAv3G3rpTMg38/OVTNfT6RTmSgwXx8xhKtewz8j0ZHFNvjfhQHlkLN/EuUcouAim/0y72cMrz3MHL5DWqRYHn5lpznwHKqVzoIUPc9FzU9UgkOY9GAxssVi4rHhmpFP5WfAM4wfxv6vVahCyjAtoMmZUrVYDXMRnq1avxSNVFDE+nNUfPFiZS9Xtdp1ChWCcODeNxBAqUlBtgpsoZZ9IUlFVWxJFOC5amP1+35FP4sWghVStVoOaCmMYTA3Q50hV1+8Jf0kSh/ks7GtCgJoXaZq6qs+MY3ATpThrDGnxPoyFUQxYmzD7WmNFen0MW5KG32w2g+HBeCtjRzooCEXp0OQY8JBVYUqtTxqWcQyQavUM/Ouz6g/GSJnbxlpdhAdZiSJOa2CskHJzVPWg+o6up2eWsRH3AQ+PWO6LahMxpEiSmK6nOC73HfVNlmWF8TilF9AwJrTO/VJNAsD6W6/XcxAv5yHr9GVZ5gqExnuxxocVKr7SStiwbGUrW9nKdnPtZj2vbrcbrIlKpRIsFQYUydprtVof3H61er3uGFtkWxFeXCwWrnQHSQSyyGSFMfDPQKgCyT9+/HBWJMUr6QnSSiekKZiM9ZqYzMxnJHORwVt6kWQOsUmXjyodhGv4zCQB6FpiV5G2LuuXCbZMWO73+w4SoddAz49U4zzPnfXc6/VcMjK9bBJYSFXnuJGpZ3a1spvNpmPU8TskhpD1Wq/XncVK4s7hcAifI1tLUHYRRZlQMiEqQaC/p/lJ74qEE/4/nv+y0tmHeuciSjyFbAk31et1l7w/HA4DTCeVD11bqS5MM9GzsQQI68dR8zNGVUgeYuqAWrPZdALcnU7HJfLrnoSviaKMRqNwDV1P703vkyiO2Hksm6MxORwOoW8mk4lj2uZ57hiLT09P4Xl+++03M3uf+2QSk7XJPuTnGE6QJiURGpbMYeN8J7mE85olnpjU/1Vtw5s9vI7HY1jAyiEx87WOhsOhc8v3+70bBOZVEMLgBBfcYfY+kahiQbeXi4HF8Xq9nit3zhgG6yOZXQ8d5oOQpRZDaXd3d4U5QjwIqEqgycqaUWQyFRXaU65bkbr4+XwuxNYvl4vbgEib1WGoRoX6OB5AWS3mJfFZ4rwd5sdRXYIq41o8sXo9mWEsl062VLvdDhCk7svcH7I8yR49HA4B5iI1nbAf59DhcPgQs2VciffXWOtQpRoCc3J4LTamO8RKE2rMm1PqRFHaCFXLGd/QgccDUM9DmI1qN3me22g0cv3IzZI5Urqn1gHr9vFn1jGjMgbnMuOQnHvMM+NBKDV1HsDsAx3YSZKE7zw8PLi5zPzSarXqWJFaS+fz2a3ZLMvCYcr1R8hPaSeMgTOnlX1IZZPYYCXrVX3Q6XTC/avVqqVp6tJDYuUR/Z7z6CuthA3LVrayla1sN9du1vNiSQazK4RH9QIGSMWao54hrRHmmQiKW61WLuhNdg4ZW/1+P1jSyreSFUOvjlpmJDtI8JOMK76DLFExGfUsMaOQrEYyrNRU/oIlwWmhUaCWwV/qLrKvCT8R8iKTTO9AxiOz8EnSUD9LO5BQEOE8ejBMmGw0GsFKNfN5eEw0F9TS7/ddXanhcBi8qrjSdcy6IwmG0A8JNEX5MGqClQg/sb5TtVp1iAKFbPlzlmVuDNWvemaSH6gzKGJI/H5MsKfeHq8bk6NYx+lwOATCx3q9/pD7pMA/4bRGo+FKnVB8gGxDMkiZrE4iiPIAmZROMhQJE2SmUiyZosyEDUmkYJ6bvCHC8URVBJNToUPjQYQkXqu6p+7z/PzsyFDMe6vX62Huk62se6kxn4zjQYblcrl0ahmEkikewH0ihg3JPCS6QJj7q57XzR5eHKD1eu2Uo7nREM4Qc87snSZNuISxMVHOBRMw9sL4SCybpPv3er2goszYy2AwcAUjdX+JuPLw0sQZDAZOJYSJxISSyAjSc+i9CA2u12sH4akPiX8z8104PwVF9Q5M7uYmY3ZdMCpMyYKJHCttDNzEFRNin5JBR0YfmWScB1QgJ6uq3++HcRM0qM2W0B4PwhjaI0wVJ5Hy/RlzS9PUbZZM4FQcNS5Tz8OdxgnHqtfrOdZfmqbhcP49Udrz+Sqgqvtws+bP+hx/H0NzrAsXH+ych51Ox75//x6egXJkLL5IpYs48ZVwHI1HrVkZEIxf6Ttk6jH202g0XPIuYUNu9DykCbPnee4g/Mvl4pKEWb+KrF3GfF5eXoJB0Ww23X0pV/f6+hrWEtcMY5r8WfAf14Xum2VZMAC4flWBgHX7NN+KoGCz635DCJ0sWPYHVXG+0krYsGxlK1vZynZz7WY9r/F47PKnCJkQGpQ1IY+MwVMGS2WdEaqRFSkrZjabBSuKOTCHwyHkuah+DgVEWYJbz8xaTXE+WZz3xSRaWvN0u7Msc2Uy5IUx8Kp8OHoIerc8z11OnD4jT01e4nw+D3lny+XSQSJkyhFCYe6OmTlLuAg6YB/H1ybDkNDIYDBwHqsSss18iQgy9ZRISWhZcM1yubSHh4fQN4QGGcRnMDxmsMWEALLTWKVbY8X8HBFbaL3qvVnOhzloT09PdjweC0V26QHUarUADQqSpWdNmImkDPY1PyM4Wv2jZ+v3+867YXJ3lmWOkCNrfDqdOs+P1n2lUnG5hEwEJjxKEg7fm2Sj4/EY7vnjx4/AcNWY8tpqrMf39PQUfhbTkLXCNAZkmRLB0BwiKqP9ZDqdht9TSECEDe1hhCrNrvmPd3d3AR2RADnnlX6eTCYOGiTkx1w3olxxDT6NTZqmttvtHDlM16ZeJUUKinLM/ppWuXxVYOr/U/unf/qnMBEmk0mYvFQ8uFwuTguQ6gOxkG1RwrJwacJP2sTZ8Uyy1KAzcVktTVOHq5PSTAiQiZGEJ5mtLyq53pVJgbvdLkwWJhinaWrz+dwVbOREUh9sNpswkfv9vpvIhGJbrVaIEXW73bBgCQNVKhU3kc2u0MJ0OnX0frIlqXDBxROnATAZPC7YqEOBsaTVauUYiRTmjccxTn/QZ2jQ6DpmXhOv2Ww6WIxssO1264wTCvbqUFFSMvuUmyUZo/q9NgnBoOwfChK/vb2FeTydTm0ymbikcjICqawQK9kXlYNnLJbw2263c5s1WbBK2NVzau2QVm3mjSVCeEzwPRwOLumaCfLUPMzz3ClSCHbW+3DsNT9Y845GjwQDdD3GZQlFm5mD8xgbPp/Prs7W4+Nj+A5rFbL6BGFyxal0zzjhmbFLjRWFyymAQHazWhzv1HMJ6lSC/S+//GJmPs5Mw4ehguFwaP/zP/9jn20363mZXTuF1HRaqMRqZQUy2KwJ8vDwEDZXWlrKmWEeDxWdNRHjUg/8P20DHmjcWPQuipPFdHR6MdwQSaSgGKcKQOp9GFh+e3sLi4lxg/1+H/qAi1+WLA85UoS12UptPb4n6cDqA3o+cSxJ77ler13Qm+Moq5Liym9vbx+qRJMWzUC7xkH5RXqG8XgcDiIGxnkQSQlEz0NiBoP78eYaK6T/XtyPsYHj8RhiRIvFojBGIOPCzCuL6701PvX6tbRHv98PfZumqaOnk6bNzY1SXDQU1ddcc0XSZkqFYJyHajfc+Fmyg8YK86JY0oSxpMPh8CE2xT7hs7GCMr1zpiJst1vnQfBgVT9x3Zq9G9NUpNDPRAOK1N4p9cTDgnldi8Ui9AHjoHGqDokhzWbTGcDkAbCqMg2vOEWAaTwad6bApGlqm83Gvn37Zmbv+5E+1+/3XXoJuQZfaWXMq2xlK1vZynZz7WY9r1arFSyIl5eXAG/0+/1gCQ2Hww+6hBRr/bu/+zsz88yj2Guh5UQvivAiqb7n89nRxs3MwWyyZFkMU9dSjGU2mzlXm0UqZZ2JRUVmlhoFiGOdtMvl8kHUV+9G65mqBHz3t7e3YNURmkvT1EEQxPYFq5j5IoSEA5Mkce/GOBu9qLe3tw/ad2Zey9HsqsmoxviTfi/NN1LvKeBL+ITUfxag5DhS1eD/sffuPpIkydWv5fsRGfms6q7uIZYKVYIKKSxAKivzTyZAYUlpFQKrE4OZnZ2ZemRmZOT7+QmF4/kzr+h771Rd4ENiw5WursqM8HD3cDc7duzYZrNxSiAsEUFxU8Zrdrudo+1z3OixMN652+3cOqxWq2FOpFGnn+kp0XqmZc5kccJaLK8iEWeWo2FMkeodhO8oWE3vnOWAuA6UUC7PgzEWxn953dPpZJ8/fw7qG0QrYpq2nk1Qo+5LbVIKgBNaYyqF9iL9/+XlxVH6dX/uH41GwxULpbdECvxut3NJ/d1uN7Bg6/W60+fU9WPKup5R3yHkrUbmsDxhfoexLe1HhCKVZF2kbLLdbl1CutbuR6nyNxvz+sMf/hA2AEqoEAJpNptOmJR038vl4gRvSQOmEjYDw4PBILxkKhaoe6qpGKU2REJWJE/EeRg88C6XS8C/CVVQ7ke5U0XyQdzo+Gz6jF4YPs9kMnEwipaFclEoUaPx5YvNuANjP+of85dILWfMipAoYVVuWswZY4zq+fnZSSOZXQ99wZC6Dyn9JB/EsF0MvagvVNJgIUXChgyMK+7C/DiN23K5LBRoFiymcecm/rvf/c7R+BXHmc/nLs2BBSSPx2N4F5IkCfFfxcIYHyTkRsFd9SVNU0dpjxsPVsa4NF7xPFAl5OnpyandEFKkOgPjZ4T2BXdxI+aa0BobDoeu+vZisXCQHuFBHgpx6o1+T6Os2+26ezJNg0oxTFlotVphTgkbrlarsKZUPJWqOkwjiGv1sVGFRfdJ0zSMB1V1BKVzvZI0wpxNHuA0bBkz1p6ofvKA+4//+I9v9vn/rZWwYdnKVrayle3m2s3ChnFNIwphql0ul2BBTSYTl1hIq7/b7boSAgy2klpO4gItPyooSCSYFGF5NKTD7vf7YAk3Gg2nuEHdNllbujZr5DBgSouGXgMtKDEPScOVZc3fk8RQrVZdkmHcH7IQKezJOmEqOaG+ad7YTwXaza4qHKSnax6ZWM3xEMGCkKi8kPP5WnX3+fnZqVPMZjOXnElKMWFDzZvWHT0itTzPnWesOZQlTXq8xvPh4cHBjUyFIPRiZsFD2+/3rrYWiRyEfwkzp2nqEAk1eTf0jEgt17gnSeK0EWlNi/Cg8aCXqnES41TPQ52/3W7nSq/IMxDjlMnQ/D4JDkI6hAYUKb9QaHixWLhxipV54hpa+o7G8Hw+h/kQ01VrjBAxSUTUT9Tzs59aryR2Mdn+8+fPAZHRfXjtbzF3CfvxXYxFDorWvj5HlSAKN7NSNrUnCXlTZcjMqyF9pN3s4UU3lzk0hKWSJHlDL2ZMQQuTpdN3u12AE7U4ihQDCJ9RQFWbONUMWDdI39lsNi7+Va1WncIE4QRu0BSYJZ2crDXmTzG+slqtrNPphL5NJpNv1uDS5iihYkJOPMhInWWci4tftX50bWLm+j5LrG82GxuNRiFuQaoxS7kTXtEYsF4ToWQWchT8pkOEUklMV+DLpU1PrCy96ISyqFTRaDSC0kW/37ckSQpZb9wYeIiZ+XUlI0LXplKE7p8kiYNyyJqjZBIPzHa77dit7CM3wbhv9Xo9rJHlchlUQhgXojp7lmUupsj6ZsfjMVyLeVmdTsexClmbizA5YW7VlKKAL6nhrIJAZqjirJwbPZvuSXWWLMscS3Q4HL6BEc384aO0BN2TBzPj7vf39y5OpjWtseSaYKxSjaGG4XDoRIMpMk14lakyEpvWNRqNRrh3v993B7rGXSk9GjvVsNPPLLqp56GU23taCRuWrWxlK1vZbq7dLGHj3//9311uB3OXiuAiJQiTlUhPg14DyQEMvDPvhGyj0WgUrJnlcmmj0aiQIcjgPOEZ5fCQ/VTkxZABJ6tcHo3+bvaWySWvicmNZq9WlD5HhiOD+wy+awyYbc/gPgPr8l5Vn6kom54B/3q97thHDPjG5Bbm4/C69A6ozUbR0dls9qZkvJpEldU3JhXHkK7gG7HG9Kxkj8WitPSWiuqLmXnYcDAYOLZhXOWbY6L7s7ZVmqah30mSuPwsri9azBKJNvMlVWg9393duWTo6XQa5ptKLWQRipTBRGCqoWhOt9ttgLJ//PFHd18SdyieKz1RzRVhu16v5yBNPrfuKe+MJVHIttU7phpr8c8i4NDDY76n5pfVqPV5QoX6DhP6KW4sMoqejVqYhBDJ/tQ+wbFSWITITSwSzP2Ja41hFYoTCyZU33jt1Wrl9ha14/H4t5mkTOx1PB47V7ZILUMKAXS56bJTPJNUbsYcGKMhJMNNsNVq2XK5dAcTN1i9COv1OixcLX4y1Sh3pQlnX9TPuCaYma8l1el0XKyFUjzcbJkiEFNgx+OxSxzV4qXKgK6v7zOxklAWIdVWq+XUD3goEcbky5gkSegnlUCEv1NAVOP79PQUXh72RYcvY1txUUP9TKovN4pqtRrmtNfrOSiZhkalUnHxElKhdU+qvuhn9pXsLa5dQXbaMMjs4hxoXuOEVhpsjGNSZkm1tcxe1/twOAwH0d3dnZPYYloFKzJQJYSiv3wX9/u9q3UmGruZly0jNMYNWbErsmOL1OdJ6240Gk7xhrE6He76PeE5xpUo91YU39HYxgrvahRrrlar7gDjmiTbj4eSnjX+jmJrZKGSQcqQBCtRxOLNfP+pchKnqlDRiGkF3F8p4vyRVsKGZStb2cpWtptrN+t5kYlFT4cCm9vtNkAb0rSTRzAej8PnKDYZB8Cpl0eLiNYIvQmJbxLKkSVKva+Hh4dgsavMB1l4skRJUCBUsdvtnLVHaE3jo77J4p/P545ppmuaefiLoqXn89kWi4UL5n6LOEBLkqzM9XrtJHaYlMs8E0FP0+k0CH1qTkm0KSrlrvw1VlbWdzqdjoOSZW2qPAMTVzlvJN0o8V0eFAP/RaUoxCDVd1jKRSVfzDyLj6K6Yq1q/XJ8KbxMD0ZJuBpfohGUH5KUj8aWHizXP70eldMxM/vuu++crp5IEmZXdqkak4cPh0OA97Msc3qV1FOkBFScMM/1xjVOnUGOlYSh1Tc1er9mrx6D5p5wHJmM3AuYOKxagZx7Mn+LWMkkcalvMelCY6D5nc/nbu6ZA1etVkNIYrfbOeZvLEDAcdf6IgIhgQD1t1KpuDXKZHuyWclSpsdL0WKuqZgE9FvbzR5e3IgZh8myLCw2smzEPCQEp8VGlQS6uKKfEp5gbC1WnDZ73UwEI5h5ja/5fO6oscShqTNG2vnd3Z1j5WiTWK1WNp1OHeOLcB9hJVLQqUhOxRGKxSZJ4sp780XlZsDDgwmPVM7QdwhrUrRXfeaBr41fkBM3dapqkGHJ2IiZp6ozMZtMNEFsGqsYgqFCBjdHbrBx3/hCEiKLFeMJ0ZL9pTFIksQ6nU5Y461WK2wgF6j0UwuQMTtdg31hwj6TfeMqBqyZRThPTQm9WiP39/eOPUkYlu8Yr0e28H6/D89No6XdbofCpBo3an4S9pOhomuRiUw4rai0faPRcHEZXo9wOmNreZ67NBV+jvcnHGd2XWN6/7kONO5PT09O6YVw+n6/D9dg+gO/QwWVarVqX758cSr7hGsZXuB7zftS2JohCe5Z0q1kRQ7NFQXRCdfGBvdvbTd7eHEDID2X8ilcECp+pwn+VnG+Wq3m4k20FJgLwvIGFLJdrVZu8+bGyZyPxWLhXkRuOqRfbzabcGCShKAKsQzDp6e0AAAgAElEQVSu8/DQ2HQ6nfAiKbam67EsBTcNBlvzPHfkA/a7Wq2G8Yw3cb6kseemFyvPc0f1V9MGqPv0er1Amyexg3kmir9xE6UYKeNFvBeNiM1m49RUdK3T6fSmYCSJCCwOqBc+Fh1WfzW/zPFTi5+N63c0GjlyjL6X53l4Tnn22mAXi0XYOCT0a+bfHW28fFZWO2aFBuaZMQbH+IbUUczMGX5630iiUeOmR++GskIaNzVu4lx7ujZJViRC6fdEaOr1uivfwtjc5XJxniA9L1bDZhkkKqjEcnMaz+l0at1u18V9NAZUDMqy7A1xiOiCvjMcDsPYTiaTcH/FE5kDprFncVwWLk2SxFqtljtkvpV6QCHsRqPhEA41pi9VKpXCyuLvaWXMq2xlK1vZynZz7WY9L0I3ZFWxrk2SJMELazabQavQ7NWCEN5L+Knb7Tpvjey8GNahdh3LFDBJmJYbk3qZWKnSHorHxaKYeobRaBSsT8Jdep4ixhdjPPP53Hl4w+EwlCogVZ6WlpQMZFGRomx2xa3J+KrVao5Oz7hStVp1ahmMtTBhkpRaxrK63a5TfSCrjF7ycDgM40m4mBamYk/0ymhx02JnfHQ+n4fxJdxEa5yeo5JJi2pzSRNOP+s+k8nEifayhD0Fp5lMWq/XXbLseDx2UJYsbkJu2+3WFZM8Ho8O+lGjNyEmpd4fWtKk3TPO1u12nWfLWA5r1sUFJ+nV8Z3rdDpOC1NN3k2ROgqVSQhfrddr956yHhZhR6bNqFCtnk0lTvQ3vbPcjwibKj2HMUGmpeh9Y5kewXe6T57nri5brC5k9lru6a9//Wu4dpy4rhImsXLH4XAIa4KKH0y9Ycmd4XBoeZ4X6hky7ECo9G825qXaVGb+8CIllEK4i8XCJpOJOxT4YmlSsyxzop6kXxMm4yRQoFYvlP5P3J/1pwiJxJRzYszcaKgwoDw1HRhm5g5mXZs1fxiENfOYdZIkhbCjiCTcdIhVU6lc9yRcpBpThAqp/E7hWAqBbrdblwekRmWFOBbHWOFsNgsvdqxkTaINZWwoOcRN9Hw+h2stl0sXNG82m45GzKoF2igFYbImGmEcHpiE07rdriNMCAJkPIJkFKl1MDVD8/Z3f/d3ziCINzOK7lIOjTJhhES3220wfKgest/vw3obDAYuL4vyQYRYacRQkUJGII0qNVZLoAqHcpQo3qxn431Im5dBFNd54zyYefUPGhoyJDUGzGvk8zDOR0KPGuNfOvwY0ohl05jKk6ZpWCuEGvM8tyRJClOJDodDmCsS2PRMPDSLKhWw6rxE0Jl3qnV5OBxcPI6VpT/SStiwbGUrW9nKdnPtZj0vwgYMxJpdLSVq8qkqrKzh3W7n4LSiargq+82EQZZ0ICRDbUNWoGXiK69DuEh0dj0P+7larYLlxVo6SvrU8xHOo4VJN18wjqwwWqhZloWAPKsdD4dDO5/Pb4RpzXyFY1r1q9XKVR4mVEdyQKPRcGNCT5bCp6Qrk5lGIonIH3o2WoW6pq5FJhg96DjJmYxNVd0ej8fO261Wq6FvKnVv9ro+CcWRrMAxlH6fmWdfCjLU/2OBaOo76ud2u20vLy9OLJjwpixhrl1Z9lqjLy8vjqVJlqUs7sVi4Tw0ikxTvJZC1iJ/KOWg2Ww6vUkiEmTQUvGDid9kaZIaLk9H1yORIn5HNNdCRJhiQCKRxoBanLwH6fz6Gz1jzTsZuVKHocakvCCKbLMC9uPjo7VaLZfKw/JG8Tur/rNiOtOCSEqKk6Kl16hxVxoLmc9k4SpswTVBxIlEN+5nH2k3e3iRdi6RS/3MInliqbVaLfvuu++CK/z161en/M6cEcKGVFdgzR9uvGSwiWIds+fMXjcKviDMQGdtnmaz6ajqXCCMk/ElYboAc3+o4i4snQoi6gPz5ri5KU5B1hfz0fic+g6L5Ol3TAugOKteisfHRwf9MLfLzBfk5IauJsUH/U1CsPobJYZo3HDuJXas++j6w+Ew9E31pijlw0KMZFXq+/1+3+r1uovBkelKlprWlCBeCbkSOmWuG4WXZUTpeWKmLBmFhG4JgTWbzXB48CCjkK7mne9fHKdSf3Swq9IAc/yoQE56PNch6+GRHcdx0/81HlSOoZFIA8DsCmtJcJsGGOFUhhqYZ0YJtfV67QxOinvzfhp3xpTNXg8FXS8WR9Yc0IDTtfkMhGQZQqBcFRmPlITSPOh5er2egwB5+Gk8X15e7OvXr+HvjJtzfyPE22g0XDHNj7QSNixb2cpWtrLdXLtZz8vMC9EWMYWYByF4SJYPEzqZBU+vo9/v23q9dgoMTKxkOQ/dv9PpvCmDwiC8rDNasvP53LnWTJClh1ev1wMrSKUO1Kj0QHYdISH9njAVFSVkFed57kRXCd3QA+AYsqrx5XKt6irmF4PwFE1leRRagTEMQziCNYxiVQ8GgVm7SRAF9dzU16JkTKosMFF2MBgUekhmvqIva6DtdjsbjUbBKqX2nlRc4vHUtSnuywR7jrXmXYQV5p2RQFKkVJGmqZ3PZ+flUqCVydCyxFUigzqDfP90bULEIq2wryQRiIwSM9borcSsSM4jGZ+sBr3b7VySb5HA9G63s/v7e+dJUg+U12bu4ePjo5ldPTgyEfn+xeQJs9f3n+88GaiExpMkCX0WyYzV2DU2hBpJUJLiCnPDNB5cB4QQL5eLzefzsAc8PT05AgxDJCLtKP9M48YK5fV63UHtzL/8SLtZVfl//Md/dC8jN3INzng8DoP59etXazQaAYZJkiQcKty0uGGYvS5MFpYjHZwFF6lQT+VzJhYTgmBSpNh1hNpIoSUcQFbXdrt1BxbZgpSK4WJl47X5ueFw6KDX1WoVDoJqtRoOUNZH2u/3LlZISJbq8+wn40rcyFqtlmNWVqtVt7lyyZLVycNrPB67pFbGkhj3oMyR+qTPUWKHSckUa6UxwI2FG8bhcLA0TZ1MEGV1yKokA5YJro1GI1yPxUqp3K7fCZZhgu6vv/7q2I+Exnu9XpjTNE0d3MOipmQk8n5x4mxRPO90Orl3iWNN6anY8OO7SAo855ai1rqW+s2ik2Qral2bva4DvtsUW2ZaAuWPYuFaxjG5nsjopQyXjCi9V3z/YwklQu5MkKeYNeWlmMQuMWPdt9PpuDAGhb1pwDebzTAeZBtyHdDwOx5fC5Ty0NRY7ff7sMZjA/NPf/qTvbeVsGHZyla2spXt5tpNw4YkDtBCo6UTM41oLZK9pQArrTYSGsy81c58GkIlYuAwx4HCvMw3Yr5Sv98P3gU9IiaH6m+6PxlXzDOJGXmylEW8EHOO0ki0JDmGkuuRJUpojDkstDwpBKrf0zNlcqca87w0n6yKTOIAc9jImiPkJpaj2StcQ/kvemGxVBJFf5nQGpMi5N0IWjHzEj2ETvXMuh49LMIwhNmYOK/5KJJ3Yj9FrmFZFuYukYCi+ZS8FfOPKLtGZijrtdG74LombM/aXJvNxiXsMuGXybokDundIdRHKIrecFwRmONI+Jf6hYRHmYjPUkrqX9wI48bICZl2ZuaS6vkdsgU5P9wbONfyboqQpZhhqaZ1w/mV1yr9TP2s/UfhBWrHUvZJfaPgLpEmjalaXKX6/y+w76YPLzXSkLmhcbHW63WbTCZhIcUHERXIOflm14mJ1ckJgdC1v1wuLpajzSVOnmQ8YrfbufiA2mAwcDE30tS54c/nc0eFZhyG2D6z98kCIuMshtsqlYqjLzOxmGNF9QDGDKQwoT6QaUdhUG5GhBaoOEI9NdJ7qfOo8eAGq8N4tVqFw3y73bpYARX8Ca3xhRUEQ5YXmW5MGGY8otfrhfvsdjunPRlDY5qDXq8Xxn0+nwcomBu6NjSzq2ETCz7rd2I7UjNR60HXWCwWbr2SpabrVioVB6s2m82wZqjuwpQRjQGZcoTdGQtiWgZp63xnaITwvdhut05Vg/Xber2eM3gpaLBcLh0LlvWnGMdUjIepGGRxmnmNysvl4oxkHphU/KChTSOK0KIOZt1XAgAaG0F7hKxl0FAQmWkWuj9FvtfrdVCW13gQhi2q3KA6e4Re2Qh5k5n9kXazhxc3eAZfiUtzAxGFl5YbRSm1oVHNnC+KPqfYAHNw+BlthowF0Zon7k6K9PF4DDG4PM/D4udz9nq98FI+PT05pXDJCZm9Lmr9vt1uBy+BB4TGTeNBlQIWEZR3UlQobzwehzGMN0S9CMLcaT2Skqv78FlFtS+qGtBut10Oma47Go1ss9m4XCq9cMyP4wZaqVQc/Xk0GrmDhFVqY4FZFtRkfJBEDI211As+ffpkZq8UY26IzC1Ti5UyuFmSpEGijGIqRATUn9PpFOK96/XaEQK4xphzVa1WXRViejNc+/T2uFa63e6bPCQSdxjT1Fj1ej33GZJTGOPle0TvSgYiN1h64KSzkwhCCnisuk/PqUiVvt1uO5HrPM+dqjtztijSTdo69wYqVUwmk5AbpzVOWS2mGNAw5rvMmD7Hjukv9DalKMOKDVz/zGEV8qDDmMYbc2KZLxgLVr+3lTGvspWtbGUr2821m/W8mJjMzHliwmTtbTYbWy6X9uXLFzPz2oaz2cxZV7EWIWNg1MVTE+ZtdrUoGRciK5LJobSG6AVRXJVsqZeXl9AXia4ytkUGm8YgyzKnx0iLOYY0ZGXf3d05OJD6e0mSOEiCjVABY3HM8JcGYfzMpOCryB2Ts9VI/e92uwG2EOxKC69IiYPCwIJXCJ1S5YBMKiZGUweSybIcX7K/lEwqD5jUcmklmnk1COlBqg/L5fJNbEufY2kPenJxTFLPHUPWVFNYr9cuiZRwL+FmwrfUwqR3RMboYrFwcVW+C4L6NNa6loSO+a4RJtPzEP7TNXRfwmH0NEQH13xwfFliKY7RkJ1H+JrrlzqBDBVst1sHJ5pd42GswcU1UalUXHIy1yvTcGIWp+5PVqrZ696iz0opxczHvDW3hJzJpCRkrnGaTqdvmNEU9o0FtPWcH2k3e3htNhtXFI0qB4wHsAJotVoNLyaVAMzMTZwW9d///d9blmXuIGB+Dd1fCk8Sg2fgk4HT8/nsXvj7+3unUs+sfi0IQmxZltl4PHYBUuaDMR6hWEeapg5nJ6RpZoUECW2IRaoN+psaIUhubMT6NV8aawaSKZrKgD7VxLfbrYtNUC5otVqFuBCp9Rx3EgIksKv5YQFLymUx50ybKyWUCJlx4xWkongV5ZU0p1RJYZ5XrKzPXDtS90mAkfQO6fY6ZAknct1vNhubTCaBxMP6b4ynMY6jMSS0zBgT41/MgSKpiOt/v987aTL9XgcXN0Q1ihiTWKKm/3/69Cm8z4QDeSgqD5CxNsLkXB+MARKao/jser128UnC1DFUp8Or3++73DB9Z7fbOeOGewOJVNwLeHjr/dMY8qAdDAaOUk9jgoLGq9WqsPAn02boMOh6VP0veraPykOVsGHZyla2spXt5trNel6n08l5O4SISNIgg41uOzXDyPR5enoKFuXz83OAvcy8LhjVKfh9UXjFuun1esHS3Ww2rq4UmTnT6TRYIrSsSbmm1yFojZ6XaMmsO0Y4QhWFSXggXET1A91nsVi8qeAs75WWrNnVcyP7TBAqYbsieJGWnz5PSIRJ5Lp2mqbuOeMyN2r8PaEw6eaRDKJ+jsdjB/eqCcrSfVlFm9Rweptae9Q9pBdDViPZeCSqkPRC2j2hG3nCJDVQTYWMSd3n4eHB8jx30JS88S9fvri1Im9E60hjQKhen1WTlU71Fo215puJ2tTlU2iA9bj0rLTm6eX+/PPPbgzIkmw0GsFToQqHKOtFCjEMFZBUQTSg2+06lR8zcx4vy9/EggVMdqdHRTILn5lVoqnEQ2idmodUFzEzp3RBuNfMXKI61YSkBqJ7UliANepiHUjue3xuVsr+SLtZhY3f/e53TkyXTCwNVK/Xc1BLv98PE9TpdMJGk6apOxSU89VsNm0wGLjDkPkXrBNEyI3Z+hSo1H3NPJS1Xq8d5ZqxFxZcpACwVAX0t36//4Y6buYVC3TYkZHH2AnzndS0gXCDZiY+NyCxokiXFlVfG/RqtQqsu+VyGfq/XC4DG07GCF9sNW5GrI+kvlJJQHPf7/cL66MprkYGJsViBbea+ZgcYwBkndJYivPheEhJENjMnCDzfr+3h4cHM3uFGpm7Rtp5rJBBWIs17GL5HcYXmSfGwoyEi+r1ultH/D2hJJaMJzRIyTIZm6SqxyLT7I/60u/3A7TGGlhMV1gul07tnZtyfMjyIKH6h+5t5nPseH8azGQry9jjXkNhbEJ4hNWazaYLKdCI0jpm7FfjSyOEewZhTx6s+ruZjz/F8xuzVNW3fr/v0mjIytSeIya3xqpSqbi0JDLAdf/pdGp//vOf7b2thA3LVrayla1sN9duFjbs9/tOz4xJtAqKLpfL8JnRaORKMlDAlF4HISIFgglzyWpgoN7MQumV0Whk0+nUEUBYl6oIJlCOFCEePU+j0QgCoCRCKBdKHhotIgZFyd5Sro6egUKjhOkIgej5i7yTer0e4IrVahW+T0FkPQtzf2jtqbHc+WAwcLWtmDRKHTx6QMolodVOj1P9Z/7V8Xi0zWYTvB0SD5SfZmbOQhY8KbiVosMq5WLmPT953/TUmdulNdfv98MY0NNR39QIRdOzj0tMMB+MyaH0/KTgUmTNk5DD/mvt6z0j41HzYvZqwes5J5OJ8y7YV5IimAsmghETx6nPyJxN6hdSTHswGBRqGw6Hw5Bw3Gq1XHI2y6iIJWnma2HRW9V48v3TnAwGgzB3rKnGuTDzRBe922beIzO7ll8x80nXDIlwvWsd6X6aB/2N64oQIPen2WwW3m3C11mWhesqP5CIgDxTsorZN433e9vNHl4cxHq9HiArssm4CGP1iFj1mCW0SZkVG8vMQ06C+vR7whGKR5n5RNFarRbgxFiaiYmFhCFjLJ731zOavcYSWK6cyYIsOMeDmLRXboIshilYivEbxuCo5sADK4bm1JjU2+/3C1mIMhoot8MkZ0J4OrxVQ41wC+eXSbmkj5uZg/pIv6bau77PYoD6m+ZgNBqFzym5W59Rn3Qfbci8dkwJPx6PjsFG9pfGKk3TEIPU2DJ2StV/boiMkVBqaTab2efPn8PvqQTC9c4DmCoWjEkynUWFJZmGor9R3q3b7YY5UJqI7kNqOIWgGSOSUgbfe7JwdZ8sy8K1ptOpi7sxHUMxTl27iB2rIpOM97BuGd9/tuPx6GqkkbauMSCzVXuJ1k5cXYAsYK1xiUhrHmezmQsb0GDW8yuOG4s0mPlEb8Lxq9XKGStm5satSCicjOD3tBI2LFvZyla2st1cu1nCxj/90z85yIs5BUXBRTOvU0arpdfrBUup1+sFS+Ph4cFp0vV6PWf5ifDBvChpgtGFZ54KLTL2LU3TN0wg3Uckk8lkEuDJXq9np9PJeZnM06C1T6iF1xZrzMzXJGNuipmvI0bZJcJ0KhWiZ4k9XlmVhProwSjQrp/jnB5aaxprwl8kLsTfIbN0PB67kiFMMCczjGzSJEmcF9dutx38rPtS6LRSqTgvm8QZeg30+tfrtYNuYn04rnfWBqMYMBlf9OR47UajEeZT2pmEwIuSj/mcqrml62st6tmEVJAcoLwq5u6RyKB3bjqdBs9Cmpay0Pv9/huSk/omy15QsNZyXE+riCUqcWSWO+KYFuXU7Xa7cE+RXBh6IMmE2qhk4VIwgOud8mrUJZQ3xLVDMW56SIR+heyYeTRKz6R7EvnhGqM8GvNjiWjI8ySMqfWx3W4DHE4NyfV6/aGSKDcLGzIRbz6fO9YOdefiTYIbQpEqB8VIF4uFHY/HwI47nU4uQY+xBip+s5YNX4ROp+OowxSlJbZuZm4RkIXHQpu6jp6bBxZfDG78/X7fxcBIu41rcJmZ+52Z33QIG5r5MuU8FBkPqdfrbtNggi+hORYFjesbUemcL+l+7wtVEiZTi9U6NF66BuMB6lulUnEqDq1WK2ywi8Ui0LRPp5MrykiDRuOlZ+X1yPyjsgMLVXKzPZ/PLmbGzY0wF/X7GP9SbS1di1Dwcrl0Khg8lKhCE2+wZPtR75Lwm76rRqUIfb/b7b5R/9C6IouXun71ej1sjkrCV1+Hw6FLW4kPevVTsJfuQ6UWvpdUQGE9MOqe0vCrVqvByKV4thRtGMul4cSUCTWtD7IkqZFJ4WcyrmkU08g7nU6ubhk1WMmcVRK27kMjmRqOFMNerVYuzYLPyVjYR9rNHl6ULxkOh06mnxY8cy+ophBnoRMXp8W83W7DgcNyKdyAuLnp4NAkttttpwrPjV+bo6i1lCZSo7VKy0/xK1pHRcrNjL3IwySRgNT9WOBVjRbv4XBw+T5alA8PD27c9GKv12v79OmTk8/iAcyNW30ej8dOnJjWq1QxNAcseaP507NR/oeYv+IMwuiZisADizEqtdFoZMfj0anea974OVquShegAkKsQKLPERngPdgYO2WQvNFouBw0KrfTKmc8UeQepkmwb7wnc6d4+BLt4JySyKEYGceIz0drnGkZLED5+Pjo3jOWfiEBhN55nufheWSMqm9Ug2cMOiZtUYWduaVqWg9Uomf8l7EwXpexudPpFOaUsULGRHVw0JOjEoiuVVQNgBUHaGgUycjFqQOUhCPJKzb2uF5o3LASM72+olIzv6WVMa+yla1sZSvbzbWb9bwkpmnmXVGyDekdycJW7IX6ctPpNHyu3W4HiyHPc2elMrudEGCapq4UO/FwQpKbzSZACHmeO5oqk39JgaenZHa1VmSlE06TpUSXn16gGHhMMiTLi8wyPbPiFrKwqtVqsND4OZb52O12YZyPx6M9Pj66ZMkiBh1rSm23W0cbp3YdPczdbudg3PF47DwN9YHlN+7v7y1uRcUCydhinG6xWNjpdArzS4+KVjHZX5vNxq1RsuPm87l9/fo1jKEgSCXxFpUNYSkcltxQkqjWL+Gu/X7vtABj2JHPSkUJQkfqm1JQCFnRsyNTjtdVHTDdl/3Tdxi/lq6n/j8cDl1SPWFYentxmRqtnW63G56bDOFOp2PL5TL8nxA+PVmlFZj5WniKN9GTKEI+6O0x7GBmDuYnJEp2rbQNi9RDYpY11wR1IJnSIphTY8P+XC4X924x7YSNIgOM6VHVhh44vb2/aWHeolwqYtFUTZfgJ6nQFGjlpDDOEOO9RYXUGEcSjFO0yFlXh6rjkvHRQogD8oSSSBQg1MB6RNysuTFJakcHdRwrIIRBGvR8Pn8TRDfzwq+Mz5DsoMq86vdqtXJ5HnweqrszJy7ObVHjZ2azmYNLVqtV+BuDzLvdzkn/SL1dn6OMlX5mTo+IPoyjUa2d8YBYuJUHnsbw7u4ukHCOx2txT8GW/JzmZ71eO7HWOMakOWWci5UKqF4f07hJm6eaAzfUGCLabDauLhUrEqv/IkXo2qyHxXgn1/jlcnHXXi6X7l1gzIRrl+8pN9T1ev1G6svsdROnDBXjbKzNxUKmgoLVmFbA8ECj0XBxP6YU5Hke3iuOBw1MynLJwKSsHenmhDRjgpXmnsK6rHRgdo1BqWaX+kZSEN8RqrGoXhv3MBp1TLOg3NVHWgkblq1sZStb2W6u3SxV/ve//70r8UA4QI1qG7K4ZWmQbNBsNsPPhCPG47GNRiNnBX333Xdm9goVktYsRuB+vw/wipm9oSDrOyzhrYA57xPr0ulzhHviqWPStqxKlkCp1WqWZZlLclTjeJDoIsiOEAutaVKSZVENh8OgCiJ4hmOlJhanmQ+Gp2lql8slXINeqkqUm70Ggmm5cgwpGkxIVZCknpkMNHpOFEdmYrJIP4RyNO4s8UBRXMGuui8tUcJKZEJqfWktst4UE0gJqYrhGNdSM/PJ9yztoX6yLAvXBZmM9D65XgiHEUHgfAjm5rPKiyFERT1EMf3oDccelsaGfeE8snYZn5vPKLHZorI/TKmhZ6zvaa5iCrjuQ/iM76tIVUwE5rNRFYRi3mwxPZ4ivLoX00nUZ2pPkkzCunRML2HfWWFZaQlmVyUPQYHH4zGgQrPZzCEfFF7+r//6L3tvu1nYcL/fh8XD4n5JkricBA1mnufWbrddSfGizZ5Kzdvt1rHTGPtZLpcuRsQaRjG1W5tapVIJkA5fsLi2GJl3hBpYmO50OjlojGkBjJUQwmu3205FgjBmrLxO6IYbCPN9iNtvNpuwkMlWlBCw/sa6VlmWhYXc6XTchnM+n8O4//rrrw6OE8xGOESHH+V3pLry5cuXAK1xc51MJi7/imy/x8dHRzlXPxUboKwPVQYYw+P6YnyRUkSab40nNwxCY0mSOFFXxk40H6oYQLiUuWpkYpLJyc2fDDbCg5VKxYniEpJk/JiwI9MqNOdkVhZJk8UFGzudTrh2nueOFclYFseMlRPI6o0hK7Iye72ei7FyTHltSs9pn9AhwkOB+XE0qBgqYL0zHlKtVqtQ+kqfozI/QyfccwjZcayHw6FTgeGa4twwbshD8/Hx0b3/agoh6HmyLCtkCJPeXypslK1sZStb2f7m2s16XgwcxkwdsqDUlE/DKrEUkaRVSqtnvV6HvyVJEqwz6b+ZeZhAWeaEpvQdQiL0FmWd0RqW9Uo9NVaMbjabNhqNnLXIZ5BF1ev1HBwV57fRq6NCAOseMXhLS5L1yTgPJF+s12urVqsu8ZVWOkkITGA1u1rr9ArJ/owTVZl4mud58Hifn5+dx0pFCyb5kl1H5mGapo60w+rU9FrIoGOOlTxeQTRkzbVaLQcBMjGbhCNdU/2U50YtOVUXjxOq9TfOr76neebnY0FhfYcwPb0Ieup6Xo1N3Beyzoh26HNc+1JqIalAVj/7RgjQzHu9TDimt7Xdbp3eHskcRBd2u124frV6rRxM5rE8L63lVqvlPBASTjRmEtUlgYVwftE7IrRGcPtisXBJxqxazQRqwsycEzKh6aWL0KO+UhhQEtEAACAASURBVFMyFgcngcbM63jqPrPZzKE6et9iGPS3tps9vFgMjhNM/J4JnJ1Ox56enhzlmrCOGl3x1WplSZIEeCBmHlEclTGDz58/B8iK8BAPiBgeYWJjnufhntzoiBfr84SzmDzM+xBa6Ha7wV1nXIhUX8YGYmUSZu93u13XZ+LsaooJ8cDUi0BxVI67ijrqxZQagfrJWBbZo1QPoJo3mWHb7dZBtLF4LH/PDZksqhiyUt8Yq6ARpXEsSiKnyoLmXOPMvu12uzDWnU7HKeuTNbvb7cJzr9drFydjKoP6Px6PXa2wLMuc2DIPCDL4GL9hojU3eEpIydgkNEWlF0Lbmp/FYuFqgPX7fWeIEZJUnDnPc3t5eXFFaJWK8PT0FJ5hMBi4NcVY6Pl8DorzKsxo5o1criFJLnHjjmvQmfn0nmq16jbyNE0dy1nPxtQHJSzTWFKs/eXlJYwnY7Qa2yLhY8pLTafT8PzNZtOWy2VI65lOpw6G1BjQIFIydtGezPg8jceiuP5vaSVsWLayla1sZbu5drOeFwUzq9Vq8IhYGmQ6nToLhDJSZCiyfg5hoH6/b41GI8AWw+HwTe6OmbcgFJyU1cISBlmWhSrNZNfJEtfnYkkputmyeiQ8S2ta1tVutwtWVJz302q1giXHxNl2u+1kcMi2IiOPECDr+TDnhbCHElVZzoNlHOjRkGSSZZkTN9UYcE41r+o/IV8SakjK6HQ6TtOQIsQkIVDTjvlWsv4JeRAyLkpYVkIvNRlZb0pWOiG8yWTirGmKKOs5zLwHr/uT+ELWqNY7c6nkhdMa1jogLMSkfLFhySTUtdM0DR5kzISj1R2z6OSRkOwk4gXZfswF1PeTJAljJ8YlIVJ5ghSl5RoXO4+ycoIUSZ4ixBuv8Xq9Hp5hMBiEd45lcjqdThgb6pqa+YrLJI+kaerkuu7v7wslvz5//uy8HsKRDH2QfNRqtcK43d3dhf6rBp/2PUK5x+Mx7G308MQCpkYsCRn0kvVsRDbe02728KpUKgH7pQvPySWOKzFVTRBjRIR+ut1uYMao5hATksl2YoyJkzgej+3nn382s9eFWKRKTXaPVCPUB0IqhJ+4wCWeSZq0FvloNHKHCqGJ6XRaGD/iAUNmm0RgvyVuq+eMhWO1YQhmIE2cECT1/5gkypQHxoIYezEzB4lSu5LMPcYwpFKgfuqz8TOQyalEaz47VUvUGNeiiobioHxuXW+1Wjn1EY2ztPK4dsjY4xwSnknT1NHOmSzPApS8brvdtl9//dXMPAS+Wq2csaWNd7VauTmI1Saoas+YF5mu3W7XjTWTyxl7ocHJA5PrgMVTBaNyw9ec0VAwu6YBLJdLp/5BMQMKBhDujZmcjAttt9tgAFC8mmMjNi1DHFr/0+nUJRwzvBGLCTB+K6P0559/Dkoyeg+4dvReUCWFQgTtdtuyLHOamTSgaezpIJI+q1qsyMKDvUh0+D3tZg+vOOdCbbvdOqpvrJxBzF0bbBwo1wt7uVxsNps5VWgdmJRZOR6PYRIlUcScKSo6UF6Kljmt/jzPXXyBz0BcnS8wC/0dDgc3Nix8SMyb36daR3zI0qPYbDbOamdgWuOuvBn1q1qthnvWajUX5yL5g6LJpB4vFgt3mDJQTm+RG3mSJGHTovK7NgDdX8+oftPqZ1yLJUSYB0dBYx5yVLWX90mFCq0PbgYk9Jj53CqqXfA5mZ+UZZk7wOv1a9VpEgy4gWlz1fjQUGu1WoVi0fL2mGJAUdmitS8EQX9T9XB9jjJS+oziXVQB0dpTuoTGkAYIvTKSaDi2NAZ02GncYgII86cox8T3mukHjCUxXsy0mdVq5QzL8/kc4leUjuO8x7FGEpbMruLUVAxiiomZl7si+UrIhZ6XOalsjN3y+pLUoooLY9bcj4g6fKSVMa+yla1sZSvbzbWb9bxoObFkRrfbdUnGstSkaCHr4unpySUZxsocZleKtq5NtY1+v++SBWllU5CUWedJkriicCyDThUI6cCpL/QAdC1Zrow1saQ3FRQorqpy7GbeY6SY72q1ClaRdNZkrZ1OJ5dozfpKnBt6N4yjUEyU2m4s+KhieNQMZNyhSOWg3W5bv98PFjlZUV+/fg1eGKnkYtDR4iY8SUiE3jjZmOPx2ME6jH8yZkbBZ91Lz0pLWE0FDTmPtNJpFdMzYNoIWV5c4/H8MKmc8RolMGvcY+agPG16RIQT1W89G8ulMIZXhJDo/lzLhADv7+9dnSo1sYoJh1M/Mx5/fabdbru6X+y/7knP+Pn52b2/X79+dTFBjbVSRcx8SEJeMeOlTEchZMdEYnpEXONEj5rN5hvomPNCT5YoBlGHzWbjvDUmlGtO8zx3IgWMOTMswmsTwmf44T3tZg8vThxzEkiXpltMerXZ60tK6CXO0je7bhK6D1+WRqPh8jIYE2GdKbr5FLJkAb56ve4gOGLHVI4nhKn+kTarxcD7cNNTQJUKJHqG5+fnoGhBjFriqFTJ1t9YZE7kB40n5ZwoucVNZzAYuBeTz8xDmy8FFftpJMzncxsMBq4WFAkORTEZqXpQUFiNweY8z918UiKL9yC5ptvthmdSHJYHrfrNDYwQWZ7nrrYcDwjGfjgGijHRCNG88ZDk+hBkzVQTbnTayBkrlEwTC1pyHRSpkY/HY5eKEFdLYCw5fnf4Pb6LJJNonFRVWX2dzWaFxTUZx9HBrGclXNpsNh1MzriQ2ng8/uZmn6apW5PsCw2+NE1dblaR+LVSJ2js6NoMO1A6S/XzBOGlaerq2VFFhnE61uSjaLAMYDOf+pOmqYsJct5I72dI4eHhwT7SStiwbGUrW9nKdnPtZoV5//CHPwTYj/W4qCCxWq0C3ZOJl/oOVReKGFZKkmS2u/5mZiHITWjD7NXSJqWe1iuFZMkyo5cY125SI6NHtbBYMZYCvLSkZXUpwEuWFYVBqa1Ger0gLN2XDCUqllD1gUHmer3uoBiRXjqdThhD6slpbEgW0DwmSeJ00rh8YyiZlj3hY9bM0vyZ+eTsarXq2J8kFGy327AOmFrR7XYDyyvLMlfPiAxOXpuQDp9H1HT2jUF4ogvyRLWG9Ller+dgVMJKXF/7/T6QBciyZHI4dSyFNNAT1M8//fRTWONMtpX3TQiQKhZEEEhCIHJAb+14PIb3nyiGiCSE3SQYQPYmWZWCssleVItrdBGR+PLlSxgzsgKpanM4HBy7jzqLZIbq+czsTQkiMjEJuxH6JPxNqFPaoiTXkO7PdKNY0FnPw72N96fo73q9ttVqFYhNLF/D/nANNJtN+8///E97b7vZw+v3v/+9g9nIuGKMiUoTpCgzFmTmpY20OU4mE9tut2GzoywPN+vhcBgWnkp76zu73S68JMPhMEzu3d2dUy0no49MrjRNHbVUz7xYLKzVaoXPVSoVt9mTyk0hXIoQM0YTixOTxh/HmbQQCVsov0Z90cunYpiCKig0qjw6M58PI3kqipvqhWNWP2nIekEpdkxMncxCqi9wQ+GrQPiD0NNoNHKKHcz3qdVq4XmYAyMmmu4TF24kq5JSQmbXDU316HQ9xlvI+KRsWqVScUYdCzRyrmjEkIFKoWFS7UWb1/V46JNRS7hYiic0Yorq5JmZg5w1lvG8EL4ajUZhTgXXFh3UZO5RKm673bp5pOAsa3jRKOP7IiiPMDefjew6GYUULdbzqJ9k4cXMR7JlmUbDZxP1X9dljJOHTwwXx6ohFIVmfhwlx8hKVrqFmQWFEn2Oos409v74xz/ae1sJG5atbGUrW9lurt0sYYOuLNUUGAyPobgkSYIlSZHM+DtkK7ZaLcdCkrXHRGImDx+PR9vtdiF5N03T4IVMp1NHLKFIKGGYPM8DjPP4+OhypuI6RNRHlFVH3TayHev1uiMoqA6RmWdsHo9Hl1C7Wq2ch8fAvZ6b+TTD4dB9Pk3T8DzMkaIV9ssvvwSLU6wqMinJWtPPg8HAwS7sD70Ber9UPJG1S+YfFT/UqJOouWKysrxKssxofQuCYf0nWsb6DkuyyGJmIiyJMqxgy2rWZKoxv47wF/O/6J2Z+dpaJHm0Wq1wfyW3Fnkh8X1IaiJMliSJg2KLasRVKhUbjUZOW5Di1cxN07xnWWadTsd5F8z5IqIgOL1erzsBX0LY1FZkmRBCcfJKKZqtxmvR29OYkZHK+mZ6R5nnKZ1DwtnML9XzxExoohUMgzAxm6gSvSv9n+8F4UXm6tVqtYAsMdmc9cWIosTM1N/abvbwkjySmTn5IjZugLFYJjdRJbia+WJ8Km2tNp1OnbQS70lGlJk/XH/55ZfwO4rixorolJHR5zjB3KgFUZFOrheYsB+puovFwsUQZrOZg1GLqKs6yAg7EO5Qn3q9nqstRrVqyiGZXWNeZGnSsJB0T1GBUc4HRXZFE6cAL1+SWBFC9+Q1yVSlagOLT+rllaEhEVPNCeV/dH2pp1BRnXXM1GQomF2FlgnVMa6j3//v//5vEJ6VLBjnnmy0IkFUxov0OcaVeCjxYGLsk/BxrEjDz4hBaebrYZHFx8NUNfsIJ9NgJHOQ65gqFGRPxrC7xkMi30wy1hgy1EAWYxyXZvyXhxwV3QktSi6LBx0ZoJQwY1y6Vqu5+oBUgeEa1cGueS8SpqbCDlmiaZq69U+VfDKuGWKRUUx5NYoEaA56vZ6rifiRVsKGZStb2cpWtptrN+t50fOhGC9zEph3MxwOQ6Ky2atbS8hLllae54GFyAC5/qWGGnO7xD47HA7W7XadxUxRWlkgP/30k2M7srYOIRp6LIQNlcshK4Z5JvTQmNdldiUp6G/6+fn52Vm/erb5fO5yy1hpWmxMs1drjVYkxVkJL6iOkZkX5qRQqrxqelVk0Mnao7jxfr9/o98nOC8uQUIYhy2W/CkqfyGvmMK4ume/33d5VdQVVHVa/V/PwLphtNLjnC3KS9Ezf3h4cMnHtIYJRUnsWJ9jMJ7is2QvLpdLJ/fDvCpa8PR4Sb4g+1MQIgVpi0gV3W43IBVJkrypB0bIWS1OkOe7udlswrjXajUnoaT3Yr/f22KxCGPVaDQcoiAojF4H5d3kiVNgmbAbPWbdI4ZZK5VKgP34XZG5NE5mV6SAJJfj8eiQBPVfBDKNESuWk31JVrQSkSnQrP1ouVyGfYtjr0Rk9ZUoxreYsh9tN3t4SbjUzMdb4vLraofDwfr9fqDNEt6govRwOHQU6ljdQQu+1+u5n9UEWVDhmcrtfNG4MZCZ9fT05DBqbQysq1Or1Wy1Wjk1BH2O6gfdbtfV+Vmv166EvcaQ7Ecqb6hsODUhKWLMDbmoAOfd3Z212+3w0q7Xa8fqIz1f40wjw8xDuTQ6eDDLaGBSLNmXjGdonPTyMg7C+AYNHR3ggnqoZsI4Kg810u5Jj+e4k/EVJ5RzE+YhSVFpwuEy6KivyGuTVUmWKOEjQo3U5SN0LGq77ksG23Q6dew8QrfPz8/hXWEfVL9N/fnuu+/CeJJqTqYoa4DFddO4WQ+HQ8eo1bUWi0XoS5ZlNhgMXD08GsAMAZDtyDXK2mVmVziYtHdCkzKOGCej4ojWCmNeioVpHiuVSnjnFouF0yylsG+cgK3xINTJ1IG4MCwL4na73cL4pPQtGRbhXKmxJtpH280eXgxMXy6XMDl8yaTcbHbN6dH/mYdDS2C1WjnKKiWZzK5xEgZfL5dLoIaqqCK/Q1FbTjwPz36/75TGZf1uNhu3UemF0SLhgaPr8cAjdVmitiQYqMVVp0n1N7tuEMTWuRC5OQ+HQ7fYuViTJHEpASQ46Jn0wmpDYyHGf/iHfwiWMDfHwWDgsHVu8CyLMR6PQ86YqOVF6tk8ZLl5nc/nUPTRzB+gJHxQMVy5V1SkKPIcqFKizZ3zyFijrj2bzVzBSebr8ADWNXQfkkQYo+HaIRpAEoGIICQ8kdof07vNrhV0Gb9hqoiajDKzawyPBRy1Dhin07ObXb1sCj5TqaNISSdNUyc4y7QEVj4ws8LrbjYbS9PUEYSYjkGSl9aaiD/0LBnr0/xkWeaQChKBKD7NnLo4T42pRIy7DYdDl/ai9284HDrq/mg0cgUsqbzB9BpKQv0/0fOL9t33tDLmVbayla1sZbu5drOeF+mXhBCq1WpwpWezWTjl5dYzdsIEV9J+ZfFLz40JnSy5UcT+knWqxr6xlPpmswke0Ol0stls5mJOLJRJuIiWDvFj0m5ns9kbgVb2h3RdNQr2srBlXL6dz0jGZ7/fd8mthJuo40Z4hay7PM/Dz/P53M7ns7N++bkierESYIuYdtSupEcs0WD1m6w3Jhxvt9vguVH5Q88gi7lerwdYmvFRxeIIs9ECJ5QUayqyNA6VRejBcNybzaYTUVWj4ggTpsUyJROS1jxL2XAdUmSX6hIsbUOxWUFP7BuhU92HJVUokqw+MMZCr13vmMadY0pha6rvUK+v0Wg47UeK1HKsNW4vLy9OtYcJ/71ez7E8i9isSZI4rype76Stc61QN5XPQCboZDIJ62g0GjlPm+V9VONQY0D0igVXF4uFU4vhu0z1Hu4hWZY5cQVdm2uKrNT3tJs9vERvNfN5VszJoVK58H+SAnh4sTGfpdPpuAqnRVIvzBGJVZyfn5+dAgPV2dX/PM8tTdNCSSlu1nTLlaPFQ7sIgpjP546YwkrKxKx7vZ6L0ahR4Vt9Y+BfjbGWJEnCoaL7aFF3Oh0Xh6FsDa+73+/DvQ+Hg4uZMa7FTavRaDjFahkh0+k0GArMbROhR/3+9OmTizVwQyVEzOoAVHMg2YHEIc570bNqrrhhXC4XB62RVMFYFpVJ6vW6i3FSzTsW8CXFmcYX1d5prKmCtNkVeuKmqmuTCEHlCxJCzLwwLe/Jfmqt6D3hBk2VEeVWan6Zg8a8QEKovV7PwZukrRPOimNugpwZO9VcUc1EYzAYDML31+u1K3hJkkcMoZGco+8Mh0OXQkKB6Eql4gpokmzEtJHT6eTqENIAZ/yKajWUR4vr9qmfy+XShQFoaFPSzexqNH+0knIJG5atbGUrW9lurt2s5/Xy8hJIBWRF0VJjdn6n0wnWrpmnlsdVRGXRKfFWFhXFRKmwwSDkYDCw1WrlKMKEBorgM9XmkuVEqnxcaVe/F5WcrCJ6YbKOSNFWUFl/YzXbXq/n9MfIfCI8uNls7PPnz2EOyLTkd+jNxsoRhM+oWEB2H2nSj4+PweJlAjQhFSU8k+rOMRRUkqapU2wYDofBKqRArEg06hsTZSleSx1Kwb+6Jy1xiSJrDAmn0Vpl0H+/3ztPkCV0yCyl9UyaNgkkZOdSe/J4PDov0cxrC6rPMU2c3iTVHbbbbRi39Xod1m6/37fz+fxGD9DMq4eQxi/SCin5VCYhW1D3FOROqJFQO0kifBdJGGK1cep6MlUlLi1Ez3i/3wcPnOQJeoRCI+hZE6FRo/ZlnudOXIHrPabX6x0T2lQkYSvFHTOvTiO9TO2X1PKsVCoOmlcTtZ5C0CRmqZFY8lFZ3Zs9vMzM4fSM11AAlQcHIQ0zc3JEzDmhuKrZ1c2lC0/YMo6PcMHTNX95eXE5J2piiBXFnCScqs/F+SNFpeW5STAWpWfhgufCYrxH3xeFmBR9xXWYH9fr9cJ1h8Nh2Ag+f/7sNhrGmJh6QCadNglCVkUq+ePx2Mkc8cAyu5aKf3h4cLAJYan5fB4OGbIXKV1FtQwJKKs/nU7HsUkZK9HLrfgQ8waZo0i1eeU4yXDiYUapM0LEWu9iSDJeqZamqaPUx/lkOnTjgppUNFfTe8Qab1q7PFgZk5zP5w6ajuPErM0Xx9/0fFwjm83Gja/63+l03AG4WCze1Mczu6p38JniIpjqg9rhcHCVExgzY79p7DGGx3dNTXA2JcwIBXc6HWdsMm+NUB+vTQk3hTSK1PRpWPMg1B5KxRGNdZ7nbs/hPjebzcKYsNqCWM4cf43zR1oJG5atbGUrW9lurt2s58UTnG4tSRpkvYnRJAuEsAVhQ1quhLr0f3oQqgSa57kr38D7MmGS1ky1Wg3eiaBGlqUgu0e/JzyjzzPQToubuo9kbfEZyH5igJUMx9Vq5bL/6/V68FgJNdAzILQo5hYFXqkSor7QAxI7ibklHDepmVDD7eXl5U0VYNa5ondFi7DdbjsomEQMkg3owdNzIamC1ruuZ2aBfKI1Nh6PHRxIwoWu2+/37fvvv3feE8tsaD4YTFciMnX5GGhXG4/HYZyUF0XyA1lvJBGR2UkVCuZ2sUQLYe5Wq+WEeUkIIGlGfTK75gQWweEUZW61WgE2lOdI3UI9u8gpZq/vBclTVNigMAHJQiqdYuaRDjE2WadKjaQQrg2RLUj6IGOT+n9cu/Sg9/u9I+GQqCOkYLFYOFYvFX+I4tA7U6hCa2SxWIQ8Vnpum83GhWXIeKb3yfHgemYi9HvazR5eSZKEQZGisZkvNkjcVRsyRTK5aWijHI/HTjonlmTS9ZIk+WYhOTKpxIIz84rmbKfTye7v792hWaSMwAMuriHEWBYPYBafVPIvJXKovsGFxyKeaZq6F4gHERmGWuzE9pUUTdFPNSZ6irZu9vrCsoYQjQvCWqQ0x0LJhDQ514SyREVnyXWNAfu53+8dq4usRm7wpIkfDodwwChdQn8jvMJNh8m1P/zwg6VpGuaU62axWAS4ibBUrMRPWSvOj8bE7BWienl5KRReZiyXlG/Ges38GiXDkeK7Uo3guDHRmxsp2Y5UhODGy/p3i8WisL6Z7svYo/rMQ0kiuTyweOjGijvqs94jxb+ZqE3RXn0uTVNXVYK107h+mcw9GAyctBlp70mSuL8R4tS8KT7J/1Pwuugw1z3YN80ba3ZRnFiwIWPghJIJ1+oz2mPe20rYsGxlK1vZynZz7WY9LzK+mP8xGAycnBLFcwmHHQ6HUGOKJAKW5lBSpay60WgULB0KVB6PR+dWMxDc7XYDbEErLk1TZzGTFEDYwsxcgJQeGYkVtBzpqUgyiNdl3hh17BhkFuT217/+9U1iLoPuhKxkUdFTExlF3jBLXjCQu1wugzchlp3GZzqdBsue1iU9DVnvzF/S91kV1syCR6SkZkJo+g6hX/XV7CrRRU+MwXHWDWOSp6Dh+G/07FkBV/Azq9bqZ9ZLU5/Ul2r1Ws6eiATX/m63c/XeKANFz7zX6zkZMt1TCAYl18TmpAfN70tWjLqjrF5OSSoG/fk5rt00TcN7NRqNHLS/WCzCu8QxIDzJ3DSx8TQmRGwoNsu9gLDn6XSyVqsV1i89wf1+H9Y+oWjlaxEVoSdLgWeWyaH3yf4QhaBgthAIrQkS2qhhyLJQCsNofKmrSUSD5KjVamXdbjfsg91uN6yjh4cH91mGaz7SbvbwYqnszWbjDhJqiemAEvRDeivjDnp5qRzQaDSC261rU/ldk8Oy6jog6M4rWZbq93meh81ecTEycrjAuECJkVN5grABN2FCmGJv3d/fh/two1B/lstlGJv7+3tbr9fhxST8RVy71Wq5ku/q53g8fkMD1vgyAZxxS8GrmivGKvjyxKK0VCygxiXvyZdXbCm+mDpYT6dT2JDv7u7Cd4Trc4OmkrY2A8Y3tNFzc2ICNOnKrItFNe92u+02aD1nLKJKyIlG3fl8DptRr9cLG6qUXsRypHKF6r/pntxoZ7OZffnyxcxe42k0kDTXVPJQ/+OD1uzVYCQ0xzgKY7k8vMQk1ZxSiYQsTdYaO51OLsGX0Dpp60mSuPeZP7P6BGPU5/PZfvjhBzPzYsBxcU7GizimVJgh1F+r1VyyMI12Kpukaepo/EyWpzgDa7RR+DlN0zCmSp/Qc89mM6eCr/eC6jAq1Esjk3sT1TuYvP+RdrOH1263C5g1N3taCaySq8OGQXRNMGMirHKrfBjGxijbxFwOFVj89ddf3+RJEW/WQpxMJmFj2O12QQxT92UOStGmJeuM9GkuctKySUYhjZ9/+/z5c9jc4jhdp9N5o0ph5uVyzuezE/xlbENixWavFhpjDYxLcdOlEsDhcAjjvlwuQ99iy43egNnVIyGpgYaFjAFi/Tq8arVaMDp48FSrVVeuhUYDRXE1X+on4z38Pr1sbkDyDhn/oXFQtGkpRqa5olFGz5iBdnoYmkcexjz09ZxCKogoMH5F8WnKevX7fbeJ6v2JRZCpmsL8Q3pLFB3mOyZSAysJs7wQ0Rrmx3FT5aZOQ4WePmWntI5kRDAflOQLKcmbXY0w5qOxXAwPSRqyTAti/Isea57njqDTbDbDGO73+0A0owAx4+naDxnrlzE7nU5D3+hdzedzWywWzokoIrrx/eDB/p5WxrzKVrayla1sN9du1vNi3IHUY7LUzK409yzL7P7+3iXFEvNmrIE0aP6N8AZpoSzjoPIDLJNBC4PeFeEeJsXWarU3DEE1PvN0OnWuOSEm4t8sT6J76f+6Z6yDR6uScCl1Cukhdrvd8Dwxo5DF676leRgnLNNyo4VJViSVKqRvV6RXuV6vg0fVbDaDZa/SJkw21fhybAkpqQwMYWbGN+ihkWrM9AXOhVIRzF4tZo6taqnpGSh6Ss+ACdRcr0yQJ0uTNO/1eh2gJd2XHgmp3oSbqtVqgJm+fv3qrHbGZLQm1Ud5lMPhMHxfpT40niy2SAFrPg9FrsmKVByXHisToBkrZPyYQgUsI8T0CSIVZC6r9hqfm5AoGY70MKVeU9RYs4veEROw0zR1z8D9iAowmjOz131D3hLZhkSldrudE0fI89yxClliJi64SsSHDNIiEV7ua+9pN3t4sbDjdrsNhxdddrOra6oXhIu/SGqmXq872ONyuYQNN1aFJ+QVZ44zaM78CwZFdZ92u22j0agwmNxqtUIQ9O7u7o2iBnNgBHMx+EwYRrG5uGKqvkO5KtLhFTg38zWEPn/+7F5yxgZ0WAyHQzufrxVkp9NpIaGA0MRgMHAFMBl30DjGzykZL/2f88v1wFiF5Jj0AhKibbfbDoqmwkfc7yIlgm636+IryaBqUQAAIABJREFUel5dg8aW7k+K9eVyscfHRwcp6m/j8dhtqJTpIYQXb9RUnmEV4XjtatOazWZOfJpqJiTY/Pzzz66oIWEuPbs2RB6MRTmC6p/mjQLNVJGgQSHpKbPX9zLLstA30rSr1WphwUbVwhOMybgSjQHS3ikHpTHheKsx5lar1cIhrjgdlX0Yb+Uap1HLHDaNqZk3nPr9foANFVJh3qb6QMOp3++HuKdy+Jg7S+OGoQoS2NQPs9f3nvCzPsd9rqznVbayla1sZfubazfredHbYfCXdFRaoXK3mdhMjT1qhNEC0u/MfO0k3p+BWNHrY1qxmU+CZTBbMCEr1ZIIQYJD7FUWlRWgNU7GF0VadR96GtSaY3IqoTYzCx7ecrkM484kR1LTl8ul3d/fh2f79OmTE69VPykyLAYdFRRkfbLmFkkM5/PZ1Tci9Ho+nx0koj4rGE7oQ/f89OlTsLLpiQ6HQzsej44ZyiRjqlDQsycTkR48ocIsy5y3R4+CVGMyxtbrdVAcEfxVpGhAZihJTWJLMoVEayJN08Asm8/n4TlFLuI60nzP5/MAE4vcYnatpUUaPsWJqYRDyCuGedX2+314T6fTaWAVS4GFpe5JEmGyu8Y0TVNbr9eO5EFmKJPnqV1Jb5wiyPLk9DeSYSgksF6vA+szLofDkjf0pJkoHese6p1lqoCegSkLJHOQTEJol0QXhiS4v9J7NvNpMEz7aLfbLqyiZ5N3/N52s4cX6bHKPDfzSsncMJrNZlBuMPM5Srqe2dvy5NyEGo1GyDCnrJCZOVw6rkmkie/1eg4W4mZ2OBzCplqpVBx7iwrxWixFYr6EO0lBJyNJfdKzUjWBC5kxO+U2qVFlgBI7Gqf7+/s3uU8aHylj6z6MHWmclHNG9Q++sFQyIHuLbDLm7tVqtfDyUnYqhtzIGCOblarlUnDgOtJYZ1nmJKmooL7b7cJ9yYYjXEYY9O7uzrIsc9JVVP1X6/V6YU1OJhM7Ho8uDki4qKg2l2JCNGLUCNfy3cmyzLFwY0ULxip1GEv1hTT6Ito615qo9TxIyIDTtdI0dUURqTxxuVyCsZVlmaudxnSBJEncpkzji3FI7gWMC1MqzczTwMk81Dp6fn62yWTimKLM2SRtXk01zDRWjH0y7WW1Wrnvbbfb8KyMSVI5hnG+arXqWIU8jKneU6lUwkGoUAmNe40nf8/35aPyUCVsWLayla1sZbu5Vrl8tKjK/6X2r//6r66kNoO3ZAuynAlr0cTqEkW1hYbDoXPnWUaBcN5ut3O5NbLEzLxlTciKyZzyqGSNJ0nivq/PsZ+CAvQMVIRoNBqB5EFvT39jMJs5bRTsVRN5hAK6dPepqsHcNFlXSlKO64PFjUQKqVYQtmVuS1HFWHlEZNqRiUVVEKo5EDKmliBz0BiM1+fJHCTRhFASWVnMjzMzBzXq+6PRyF03z/NCmEolOMx8crfII/IuiEIcDgfnLTJ3cT6fh7mbz+dhTH/44YfCHEd542RpsmYcGZdxvSlCvvKIOIZMdI2TWYkI8Nno5cib53Nz7qmMwvxHwr+ECklUmc/noW+DwcBdiwSS3W7nIE4mFTMX0+xaJ40oAhU2SAISlEdom/lt+n6e5wFKFkLFZ1W/V6vVG4Fms9dc1cvlEggcJIDwO0QA9F6Rbcj6ddRq1Bh0u13705/+ZO9tNwsbkoUTMwQps8QFRZo2oQom+DFRVXRpLiRuAHTzeS3CDty0qMZAUVupQOtlJiOICvM8oMR6owiqGpMPGZsTU0hxjBh2I5OKh3QsQ6WDcTQahQ0tjjFRyFdzYeZjjVTSJptOmzbpzpTVIfuK0BM31FgGhxAPBUN5yOR57ij5RbJCeZ67BPU8z12ybVFdqm636yCvOHWCsTFtTDImKEJcBI1TEaPRaLxJRWD6A+N0VCOv1+tOskcQHGFdymBVq1Vn4DQaDfeeqZGNquRwQklxCXmz182N1QW4CV4ulwB/UXmDBTAFhZHRxsKMuv9gMHBxYd1Lz0rRX/1MeTjV7dPnCeFT6qnVaoXxPB6PwdhTXEuGII1ZJq4r/mRmrgqFnpXqMGQVa+1JLZ+xNqZZ6J2XYg9/VhyRfet2u+E5l8tl6JsYp4T0yRBmpQGGPj7SStiwbGUrW9nKdnPtZj0vSfCbvQa3mbtA60+yTXJ7GaCnVSqLIS6RcTgcnHQ/A9oMMpOtxYB8zFDkd9VnQQOyVCjmywROip4qL4t5Guon5X8IW0qvTP2ZzWbO2pNVSCIKy3zo/yy/LstxtVoFC5cSW/JkWfuIEC8DxqxXRamlVqv1TWklfabf77vclFarFYgMw+HQ6dAJBlICKXOR6PnIWm2326H/gnj1N+bdDIfDYMkS7n16enrDGqNcFuEiklkIsRJRoPcae0DUfmTtNGoeElLV9/Sd2WzmWGdah/1+38lLEe1g/agsy4LFfrlcgpd/f3/vEsJ7vV7wSJh4y/F8enpycHSz2Qz9IboxHA7DmhALMX5P9H0mhLOuG/O2+DP1LhkeoNCxyEbUIKU+I9ENfWc2mzlJOMLHFNYWu9XMAixHxrK+H6MLaiJlkdXLPlDPlOuD7yPfM+pTcu1NJhNbLpcBrlyv124P0HtFebiPel43HfMiBV3tdDqFA4sisoIVmEVP1W9ueqSSsvib2RXnZUY9MXZRcMk+1Hd6vZ5LCOXk9ft9x3ASPEKKstn1wJVmGtlXXGxkOPLAplCw2RWK6Ha7YRxZ1l391PgIAtNYaFy73W54EfizmTlWVZyFT4YUWWbUdCMzTd+L+6m5oKIAodwiFuHhcHAq3Yw1kHnIJG0lhzPWwNpauhbZsDJu9LJzg2YS7H6/d3E2KkVsNhtXM4uxJEJ2rVbLGUWEA7lRkpadZVlYL5vNJlzv5eXFMRypOUh1hljcWGtisVgEEWj1n4njGlNu4oxPaty1XuOipoTCmNhM6j4T5gnr8r2IE/6pHMP1ylg24fj9fm9pmjo6OOFBCnjTiOL7H+uUEgomhM/CnzTSY5UUHjCcK64xqenrc1RTybLMiTMwUZx7oJ5nNps5+JhGfiziwJ///Oc/23tbCRuWrWxlK1vZbq7dLGy42+2czJEac2UYnJc+HhMeBbPRs1mv1678hTTzzLylQWIHdeMEU7C8AvNH5OmMRqNgwZAQYeaD5rF8EYkDDCybea02NZYRX6/XNhgMnCVIGRxa8Brbl5cXa7VaDpKQVTUYDNx3qK5O/bUff/wxwAl5ngfPWM9o9moJq1+z2cw6nY5jGxZV52WJC7HF6CGpn2QU7vf74GVcLhfrdruuTA6fk/WdYktY/aG+HKv4UpNS8K5gKiaX6nu6Pz145nZxnqkDyXpX6o/GYLlcuppxRTqSZKGZ+RIctVoteFGUyBLjk3qg9GxF6Gk0GuEdk9fFpGsRD4hUDIdDV8WYqv9MOOYcUMtPierMcywSLWAeku7D71B+i9ApE+dJIuIewrXDvYnELnncTO6WB8+cTY2dxqlarTpou6jK+2KxCPdpt9uhPp6ZLyXFOWW5Fq3XuKyPPvcteSlC/bPZLNyLY7DZbIInzd+/p93s4cXsfW6o/X7fYc9aVFmWOXeVCcyXyyUsCCZm9vt954KTERfXPWIZctJud7td+D6xbMIZpIWbXbFts9cFwgXPGmTEn5kYzZ/NLMQdxDrSS8pn4EI6n8/2888/hz6zJAgTXONkWSa+xmw2woYvLy9m9rpRaXPjQZwkSVAq0XNTk04v1Wq1ss+fP5vZFf5UY8IoN4LRaBTuI1FaslZJyya8SeiIYq/8Gw8RJreb+eKY1NIkm4waf4Igmfah8aBuY0wFZ/kYJmrHJWbIrKPSCeHa1Wrl6k9RNWI4HLqEcBoAFH6mEgjXuAoraq7Unx9//NFdt9frOYOCDF2t2bu7O8dyI7RN8WbOG4tMCtZiQjdZpzyY9Ww0Snu9XnjHzK6Cz7o26/YxrsYCtNQMZf+ZQiMIkAaNPvf8/OxgPs3hYrFwBslsNgvrJU4dihnKTB9iTF+NscVms+m0LJMkce88x+2jgrxqN3t4kYLOCrakgvf7fZfT02g0XFY3qeHE7DW5OvAYe9EEdzqdsFhoUZr5w4MYMy3h9XodXnhi/mY+d+dwuFZ8Xq1Wri4PVRxIQ46VxmXRCRdnoJ2isvQq1VRDiBssRVCpJKI+v7y8hL6ILk1PQZ+bz+eO/EFL7XK5uHgLyTV6QZjzpd/zoFLf6PW8vLyETVwyVqQVf8sDoWTScrl0qRmkdtN6ZW4YBW9Zl63X6zmjgzFAEjM0LroeVTRigdii/MVer1eYXydEQvPQbrft8fEx/Kx7UqpKZBTmJTLew/VBWSK+I5xTypwpZ8rMQnFRjT3r5tFAXCwWTnn+l19+cXFwvhesbxano9BY4sbNuCEPOKIBnDseBDyYOZcyPItSQJhPSoKTno9ECY1vp9MJ+xk9N+176s/xeAxq/kQqqIai75PSTmOL8860l9FoFIxRHqAkg8QIwkdaGfMqW9nKVray3Vy7Wc8rtnTi2jpm9ga2YWJhlmXh++12O1jPWZa9SS5Vi60GsoOYoEvXmJV2mdjMa6lEhSzB7XYb+pOmaYDwGEvS88vCYpLk8Xh0VZGZ3NpqtYJnSgr5brdzjCLqLBIqIBxGjHs+n4f+d7vdYB2+vLw45qGZuVghLXYKvWZZ5kRLi2JEZG+JMUZVC3oT9IK4BlijjZYjLW5avj/99JPd398HK5dMzFhZhR7Z5XIJHl+WZS4WRY+GrFeWhqc+HBPF4/p1Gn9du2i9xQodeZ47j1VeDGNMWZYFr+f5+TnAwWbXOJOeld4EYyUsv0JGLdlsTAdJksT1gQm/9IwHg0GYN8Z3zbwwAL12vheCv5jETRSBzxbHtsxe03EIsWrs1U9CczGTkhR/fY6oUp7nYR0qPqtnY9iAbF02XlONfVAjV0BeMRmLjOmzMUVit9uFeNZsNgvj2e/3w7wlSfLhWJfazR5eaZo691mbAd359Xr9RixTE8JCf1SoprKDKM3MhaJCNWVwKMLKfCPmkDHHipCQIDPWeCpaLOfzOWxa2nRI5iDcQohCm7iUN5jVT+oxZWy4sEk+ELXa7JUCT0kqwRFpmgZIleOtMSW9nRRevXzKvyqSZ2J9ssFg4GAp5QWZmQvAU4mDihqDwcApeDPGxBgajQZthhTgJXGBBxmFhvf7vYt9kG5M0gSV33mw8tqkb+uZNL8k2+izZl4KjHI9im+wthUNCn3/y5cvYX71jugZuMGqGKvZ6zqMY3tF+XbcuBl/VvytSIyXeWuPj4/hPkp7Ual7jnWj0Qjv+WKxcPA40wdiCjsNU31nMBg48sn5fHbvbxHkvN1uXc4mD2DWueN7SRJRnueWZZmDIRlbl0FFSStJUtHIo4Gkttvt3H5KtRqmHDG8oD5p3pIkCX2L0zFYNJfEro+0EjYsW9nKVray3Vy7Wc+Lgrm0BGq1mvOiCC0StiDUEidwMrudgrFstKiWy6Wj3SZJEqwgwnmkync6nTelJOSdbLdbl0xNSFQWv7TqGJhmyXXqnNGLo5XL8iCESKVDp3FikiH7KZ0/M8/oIyFBRAX9n8KthMV4TwWPCetQ345sSVp6X79+DZ7pYDBwrEKSA+jtkXL9yy+/ON04UrkJ/RJ2YzIyrXxSqTUnMSnH7NULopdKmJBiyc1m0zEzyYokI7HX6zmoiEQbzdFkMnFQJddovV53aQ3ysqvVqtMMZeI2EQkKxNKyHw6HjqBDqL/ZbLpnICWfNbRiEWLCslzTy+UyQOOdTifM43w+d3WpCKXyGVg2hLBwLESr+dW86XmZUE6G4vF4dExQ7kcsT0L06IcffgjPqQrPfLcpnEzSGaFSkmX4PPP5PEC3fDZB1GQ1an1w/4hhbhLI0jR1UG6RLicTmd/TbvbwIp7OxWt23cT1wqhRoJKbPvNzWEhRGxvFRakwzxwjLSJNIP9GSjCVK8jKEtXUzB+s3OApB6Pnp6irrs1DhVCp8tGoHq8Xm7EsMsZOp5OLYTGGwHgNoTUKCKtfuieV0gnhxew+viTH4zFs8IvFwjHGOB7MNYvjk4TJ1ERdZu0xqjZoAyTVVz8TzuMGRCp3zPpj/Ef9YJ4YpZ30PTXSquM6dEo90Kaj5yG0R9YbFT4EWxKipVKDGuEq0fhl+PDAjI0TGkSXyyU8NyE0/V3XZuyJcGlsCFKUmdelwgXzoljgtNlsBgOzVqu9ec/J7KSavj5DCFGsXa0DGsOMBTNWKdkoGQebzSYcJIydUbVF8lZF7FS+5/Fai+OTpLMzvMG48G63c2oZ6pNiy/pZ99FBzOoEVLJRo+H00dhXCRuWrWxlK1vZbq7drOfF5FBCVmbXE/35+Tl4WCoToP8zz4MwQVwhmQnEzDonXEMIY7vdOs+DgrsUI2UgWn1muQg9G604Qkyqlsp8rrhWkJmHtZS0WkR+IJstTipmfszxeHQlSViniy1mWOl56C3xOUneEFSr+9CzJgTBPDWVh9E8ULiVOTxmV49GUBGtSgoNx3WidK3BYGA//fSTmV2hZX1GfWYZCQkYcx7o3auxz+oDK4Ezt0zXYrLw4XBwqgeEiBaLRbDsyQisVqtvtDOZG8k5IIRISJB5TXG+Id8LlnghI7col42/J2yuuRM8qL6pz/ImmLSsa3J+yEaVTqj6yvtwHgnTU71H6jD6HMWs6WVTY3O73bo1Wa1WAyFmtVq53ExC+4RYW62WGwMShCjYmySJywfVz7PZLDBgj8ejQ2QOh0PoA2F/EqEYntA1WDqF36FijxiJHyVs3OzhZWaFeC8VMoipxmKzpE9z02CcQhAKBUi5AZFySsqr2XWz4+ZIwV9+v91uW5ZlTtmAL6wWIjPaK5XKGzFQxpnITGNyLCEASgmxbTYbxxQio45Gg156XTvG5s2u9Gb14dOnT27jJFTBzYOyQIxztVotl8oQJ2mzhpcaf2bMgMaMxk3GBRlaPCRVMYCwDCFixl70HR2elH7S5xaLhVNZUN+q1apNJhOXrMqEYca/CA3S2OI66Pf7jh4vyOzu7s5BRIwBMmGfhpLuyTVO8Vge9FrzghaZ1FokOE06uQ5sGhHqNxl9Ztf4mqSQNK9xRQJtomTXiUHHApRkFRO+1lqiLJfi7zRyCS/SWKScGinoPFQOh0OArBlHFSz9LdkmxtAp+8a0IIZb+H3Cs0peZniAY6N+Mj1AslH6HN9Nwr2M3bJg53taCRuWrWxlK1vZbq7drOfFACmlZszMBWIZSKYQZafTCdbIeDx2pAr93Gq1rNvthutR29DMW/Rk5hAOY/4TS0JUq1UHzRG+6XQ6wWJl4qxKheha9ABooTJQX6lUAilD+V+U1WFVVFlCZBdJAopeHQkOtPJFHJAeouYpSZLQt06n43KKGICXF3k6nZzor75n9hoIJpSln/M8d54crdPY4qUu4GazCV4hJb/W67Xz6lhpm5Jd6/XalduhpBWhTiaBml0hMeZkrVarMDYSXi4SJ14sFo7cov6Px2Mn80P4irqa0rvTeOz3+zA+w+HQEQToSWodCo5kf+hlFrHJKBBg9rrGyI4l+ULXWq1WrlQJ2ZOEryuVSngv0jR9k2PE8ILWmN5tXSvOXaLuKaFpvhcUKdBndW2uqSLm7+l0svV67TxtlslhTUHuLSRMMA9vu926sVHfVqtVqLWlRk+djEmtSZWOISrD90KNRIxY+5A5i8wxZCmYOLn+t7abPbzIAqrX6+HFou4bE0AlQMoEOS2QVqvlBF61IGq1mtssD4dDOIgGg4GDRLiJ7vd7Vz6d2ohqZAcqtqG/k0XIg1l1g9QXQmgqkqjva4FSeLbb7TphW8aszK4LUwnQZq9FBF9eXlzf9cIxWZYL8Xg8OoaV5ijuD1++/X7vFChIuaa6er/fL9RzVFxNz80xJN2am1G/37fVahUOd8UreT31jUm43OioWL9arZxxpN8LcmNcpqhYKWNMSiQmA47PTSOIgqyMc1Evj+NerVadYj41P5nArLnUtUht57uk8dKzanx5KEknUc8zGAzCtWmk8DDudruuYsNkMnFJ4OpPbIR9+vTJVU5Q4xrmWM/nc+t0OoUpD41Gw2n0MU4tw0NxraLUAaplKJaka3U6nTDuT09PhUZhnudODMHsCpEej8cAcwv+VdN4PDw8uJAEQwB8TjMLa19wLeFWGhdkbFIkezweu3eO+ygPcBmiRSlIv6Xd7OHFjY/0b9JH48xuxngYY9lut+FQenh4cLkgjDVQuJUVcKfTqcvOJzWci4CxIB4c6/XaLarz+RwW23a7ddg8FRgYDBaxwsxbVLSeFA/QfemRxJsJvbNOp+M8mlhg1MxTpCuViouhDIdDZ4XTIqOXq+tKUJlW3LfGhrlHlLLiIR1vYAzgdzqdsAFQJJeWtcZH36H6O3OuKIpLz+t0OtlisfhmDhk3Oq1DbVA6mGLFDx4+PES4jpIkCWuZau/6m/7lGq9Wq2Hj7/V6zjPm2LRaLaf2ou8PBgPn9TJ3ajAYuFwmNj1vrIRPUViOFUWYa7Wai8c9Pj46CrnmdzweO8HaWLGEhCWOp56TQt8kvUhNncYn40WS1fr+++9Dv6SqHxOONNZFsXV5XTxYtT4o+t1sNsMz693R3OV5Hog7RWlB+pnjJmPF7JUEp/ngOyuBZxJ3tI4YO6X0Ft/L97Qy5lW2spWtbGW7uXaznhdLezDGQ6vneDza169fzexa04qWgiyLNE1dUThaevqdmdcwpM4a8Xwl6xGSLGLXKQ5idrV+KYxJi5fudax5ptgLmV20IvU3jQ1jBdQwHA6HTllEv1dhPnoUjInoGWazmfNqGfeYz+fhb9ITNHu17DkfTAZtNpuhn7PZLMxJ/Dl6V9vtNkCPT09PwcKk8GxMz429YT1bpVJxNGLWUeOcEnqJlVHiNA0mJus7TABvNptOu4+xj0ql4kRP5WlQ7Pl0Ormk5+l06hJKNR6M/dILNntd84QAWaKFcdzFYuFUNagsQoUPQkT0/HhPxv22221Q+BBqofGhd8OUD75XTOvQ9TSPXAdMXJdnov4REuW7x6TqTqfjmIexR09ojzCoftbYcr3Ju+aaonKHBAN4H/UvTVMXg5JHJhRFz83aY4SfVXhX/WS8VX9Xf1iihqVjOFYMA3BsCK+SZv+edrOHV1wlWY25WCRiiNJMpXJNMA8IKisopsIXWI1YdlyYrlqths8yGJymqcObCT2p5pOZVz5n/RxSSw+Hg1OCJ37OMdlut2/q6rBAIGMFzIFh3JAbD+nNEv1Uf6imwEN6s9m4zZ7QTVwl1uz1peCBydgWJZQYZJbQ66+//hrmgaoYPPQpD6U+6r4M1MfxNN0zljbSGmu32w7yoqqH1BH0fzUe4EXVEQg9MtWiyIAQPbmo36fTKdTpajabToqM88oYXnzYsIIuxVr5/nC9c3PkOjPzRgwNohh2JJGIc08ojLWn1J8iJY543tQ3iSarP3HuHQ8Pxmi1bgSlMwxB4o7uGa89jaOuwVp9NNb0s1RKiiB0xvB5iInkwf1NkDWp7hw/Gel61vV6Hb5PSTkawjzQ1FcqsrDRuPhIK2HDspWtbGUr2821m/W8SHgg85BB/CzLwimvqp9kCxWV02ZCqjwI1sYiHV3fV2BZ7Xw+O/p0UX0jqixIoYABaFpuglFIpVYAXF7Z4XAIHsBoNArPXa1Ww7V6vZ6zKmPGWFGpAnmYhDFY5oJJsPoMlSGY8KxGy4vwJOnBHB9+h5YwySxS5ND4spy9mKZmPtlXlrKuTQiPVjbLXVSrVcckPB6ProYUSQDsJyEnJriSBchgOmGe+HOqnaT50D2zLLN+v+9K8Khx3Ji4Li9fY71cLh0rsigJvl6vO7UYlrAnnM46X4LvCD/p2oTQqQgjJQ8KS5P5S/hZewHVaNQ3KnkUeYuxQEG73Q7P0+12XeI7IVE1Je7Tc+LaVT/jNA+mlNRqNbceCcMyDWCxWAT4mMxOvtckbLTbbZfuw3uyvhkVR9brtUNFSLKYz+dhLRM1kEJQnFISjxVJWkSK3tNu9vAyu05YnucOW6frqqY4EiVLvrXRqJH5ZObFVsmGY26NDj/9X3WM1ChKqQ1KRSUJOxAK0sIjc1F0dlLRuQEx3kJogtn/kuxRf4jTcxOgSgGFTs2u2DqhntFoFF4+KSEQ3tB9np+fQ8yOL6kKFVI6ivFNpUUMBgMn2kpx0clkEtYBxUhPp5OD0qhastvtHPuLkIheNMKXZp7CznW02+1CPwVJceMmK0trajQaOQFkihhzE2dZ9zzPwz07nY4tl8sACQqO1lyTTUd2LGOslOXiAU4jRLlHmnuuV8KJ7XY7HJKTycTW67Wjl1NhnnXh1LQhynhjrG6324U5pSJ7r9dzOWiMwel5dR+qQZCpyvfZzFxKjH7mwa5x+1beKd8NMoLn83m4BpmY0+k0zCHTVnRY0fBg3hoPXM4v0ynyPA99oMRWtVoNa0/zRGWhoj0sZkvGEnNqjOHxMzGc+FtbCRuWrWxlK1vZbq7dtOdFMd0i68rMkxzipFY1lipgVVlZ/PSWCMHFrCbdL9b8KtJzi721Wq0Wcnyo/8e8nU6nE1QsJOyrPiwWC6cJJ2uN96dGm9mr9UgWHnO2COkwyZBkDI7H5XIJljQTs3e7nQ0Gg+AF04uSNWj2at0ymZr6jqfTydWlYqCeSejMVWEAPIYTSapggi7hPY4HvVrqQqoPVBegZc08NV1Hf2N1YAXQX15e3JqItTgJaRJVYD/jPCCqUxD+Ut9ardYbgWa17XYbvH7OW0yQWK/XDkpi0/UEB+q+hKIJ55HhKOKFIDDW52PeGQkOgvZYukh9pbe2WCwcG47eBQlKq9UqVGUmfEZSk5n3XOLEZBJduI7P53MQR/jpp59cFXAK6zKMQW3SWq3myBMUMyBy8vT05ASeWWVZ60iQs9nr+3e5XNwewHeGGqYAGz06AAAgAElEQVQcAzJq5YnF32m3224+PtIql4/6bv+X2r/8y784FYuiUt2k0KZp6lSd4/LictMpvUNleF2bL4UmajgchgnRocE6WWqbzcbVUYrV8MnWU6NsEjdEqZsLxiDzjzEexv2kKqA+EUbVNTU23CT4N24MlI2iBAyp06PRyFqtVhgPQkRpmoYDK5aiEePQzB8+VP2v1+thbC6XS5DZ0nioD6R/E9rTIcCXnvEwxjDUtIGR7UcYhYc2x5AJ86Qlj0YjByvFlG+9noy3sLhgvV53igeKyek7ZP7R2NN4S4WG8CDp+awV9ssvv4SxltSYnlUM3bu7u9AfJruLpaa+UeCZcRB9VuNE5pzgdT0PYW7OKSF43YvjY+bjLXz/9XxUtaDhQuUYFqClvFsMEWsMuTetViubzWZhvWRZ5pilRVUlJCDM+G2RsDbXnvYciv5SzkrGCQ1+GYVkkFI5hkLBrHJBZiSdicPhEOJ0eg59/7//+7/f9P//aythw7KVrWxlK9vNtZuFDemdUKqJzCnW+cnz3CaTSbAI5vO5Y6OxFo48KpUJoEdE6SjmiVHmKIZEvlWplzpgzK+RJJMac7bU5Dmy6iyD0fLICBtynMxeLTd5LkmSOG9Rv0/T1CWB03vMsiz8TC2zfr/vEm8VRNe40XOi1hutNib50msgjETRUiX+suyI5qTX64X7kH0pPUiSJChOqkYoTBWeOVf6+93dnbNwmUiscdUYCqKhYCo9A3ld8mjMzHn9cU6c2bVcjO4Xl4whu07XkmwVE5A5vyxTw5I9rFLeaDSc3BUTfMnOYzVnMmoJc1EIQH0ugj4Xi0V4/47Ho9PiJMMwToSljJS8jm636whYzK/r9/vOGycpgl4yvT2KBJAIFesUUiew1+vZ999/H36mDiXzWWu1miMpEWFR45qu1WoOJh4MBoFIRIktviNiRZPQ9i1WI/tCyJo5bXwXRSriXLy33Sxs+M///M8OUiCFXK3dbrukT6oMsMgc2VeEZzqdjlNg4KKW8oR+Vms0Gq7GE3F2UvKZ1Hs6nRycR5Vvsp7IGJPyMw9g0pr5M5XJSQMmfk7168Fg4GBY1vqhGPBms3F6hqyjRs1BjYnGirEsCg2zkB2Tq7lxMrZW1JgMTQacDgtSrBXvUatUKo7iz1ghYxCsaUT4i3EHJkbr/pxTGh2EYcjGI8SjZzLzsVsyYne7XVBV133VyKpUTMPMgiC01gvX1F/+8pdCrTpRqbXGqfm52+1cDJBjzTgeGY6xIjrjjmZWCOGZmau8oKb1zneSsB9p5iz4SKo6451MhibETP1O1ZGjgLDGirGx8/kc+rxarVwMbLFYOMEBQY3slxL3CfkydEHDSU3vH5OjOTaExGMGLVNiOKfck9QXiiOrMV2BLG0KY//xj3+097abPbz+7d/+7U2pADN/wJiZC4BLDNPMWwZpmoYFwhiRgsJFQpIcNkn56PdxiQbi37JWWTZB8lJFFWhPp5PbhFgGwuy64KiWIdKI/q7NTOU7KNJJSai//OUv4WceNhxH4vm0NnlgNxqNsDEwcKvrsRQMySjE1XlIMp7Qbrdd/IpUYW6orB7LwDRLg6g8TJzvpeekN651E5fFqVarTv6HShLxwUgJMZIN6NGob3meW5qm7r6UNuKa4HjSyu12u87zoVIFkYEkSRzFXxtsq9UKVjo3sCzLHHKwWCxcXJYbJS1zGjGiwes7jA9yDs0s9CE+pBiToUfGzZUxIx4+qm5tdn1n9bmHhwcne0RSE8eTsXHFXDV3cYqNPqf3X98XSYtSbXGVdR5W3BtiEeMihXgp99Aw1d9oXDB1QOkbRbT3w+EQ1gelqvQu0dDgtfU89NgrlYr9z//8j723lTGvspWtbGUr2821m415kU1GKnUsassaOKzhw89R1JZUcEE6hIVoPRP+iq0MWXhi4eg7slSm06mDRVjWgSU39Hf1h3phu93OYcwsN8HnjLFn6vzRWlQyKJ9ZdHJCYGr0VOj5sYSC6OscD3kAsdqJLEoVlqR3yxgUVU40HrKkZVWSDSfqve4py1z1pggFU80hVgbhXNCzLhJB5jPrWehlksZPr1JzNZlM3DgS/v0/7Z05c2PJsYUTC4kdIECgN4UUIUOmjDEU+v+WLIUcRUiOHI00QzUJEjuI/RmMU/iyeCfivW45N16m02QTuEvdulWZJ0+elPizzkemHQvCSWUmxMTzSAMyz03xHnV+ecz6nfm6op51eX7mfD4nKIqFzfpd18aWRiwQ5ztxOp1cg0PmWPV/GitCyToWo9d+v+/yVLvdLt2rIgozP0dzmJ+MPvasenh4cGNCFIflIHyvyOJlzkyi42z0yiJwIjcahxxYW61WrrxE10P1nvl87sSjOSdqtZrTWmT/O65vZHZT/Yfi0xyXb7HSwoY//PCDk4phNTgXQVbas56FD4d9sQjzaeLmwrZmPm9AiKjZbLrGcqTX50ZJHcrlUIGBdSLcvA6HQyG0YObFYjmhBKURXiARgsriVPaW4oV+5+TTBtztdh2NWd/XJkCojfR4QiIyPU8SFDQGrPx/fX1N16VjUDGAMAjHkJR1Ho+wB+ErqifwuHpWfDFZz5aTYzjWhAD1fUI1IsBwY+JGkFPIddw8cc8eTYS9mTdk3RgbLj4+ProOunpHpJRO50t/Y65kPp+/c/BIk+Z1shEi74u5TzaKFclC90aiy/l8TtfDso9KpZLWBiqdE5LV5+h4EGaWUc4tb97IvN3xeEyfY454t9vZYrFwCuu6tul06tR32DWA0lGsn6ID0u123Zxi/WJeTqKf1Zld4zGbzdI70+v1Uh1svjaRKNdsNpMwdqPRSJDo7373uyQKTWJavV63v/zlL/atFrBhWFhYWFjprLSR1x/+8AcHNchTGY1GqZiSyhvSAcs9BTNfpEgqt+A89hMqEvA1uyaXBVPIa8/ZZIS89H15nWT0kVJMowf19etXV1zJYld5axSbFVzENjGEn9j2RB63rr+o0+3lcnFdmfV96RXqPlm+kEeIPD9JMxSvZdKcEQSfoaAWFmTrPkejUfIcqZmoc7OvE4s7CakQlmZxJqNh/V3Xpu+LNEBIkmw/tubQ9Ytqr0iKgruEiwhzC7rSfDqfz04XUOchAiF6M6FxHZvkDfZO07GKmJCr1cpFE5zTvG9C+EQKGE2ILEUyFsdaRiLFfr93LGPeKwkju90unV9F8CQb6JzsMC5WsJkvGdHfyGokpCnCCe9TsL+inRyq51xhGcF+v3cpCp0zT11QiYdFy+x3SBRCxzfzaj1mb3NU10moPm8dw4g1JwXxOvX9drttf/7zn+1brdQ5L00wwoOLxeKdcrPZG+xxd3eXHkIuqCpqKxWypZRO2JCLJeuFmFNRM0UzLynDuheyg/Lmfqx5qtfrDqbSxJPaPDesIgml4/HoIC+K7K5WK5dvIdTCHBcZSlSmp6wPx/p0OiU4Ty814U5CeMzH5X2PmLegUgPhGbZO13PWWMtYE0QVDF2XxpDsPOY6uICpyR7HlHlH1v5wwyY7jpDodrt1qhz0JfOeUVSO4X1rfsgZofIMa934fbLUuChrkzd727Qp9kzHi4ttvknJ2PVAtZS6V7JgL5eLU3LRhqmSBH2u3++n+b/ZbFJtWbvdThvEeDy2p6cnR2kv6jXWarV+kYLOjY1q/nzX2CFCdW+ETjn/mC/Sz5vNxuXDKa00HA5d/kw/q66SDlJRPk0buJ4bjWo1dKzpoJJFqPFg9wiNNR0v1RtyPeG5yczU/xPy/xYL2DAsLCwsrHRW2siL7C3CSvv9vtBrEdGA0QkVMugRyqPbbDbOE87rdvizzrPb7ZzCxmq1St4sa6zynlZk/pldPVi2Xx8MBo55RG+JhbQskGXI/vz87Dzwfr+fEqx5dMG6m91ul+BJ1igdj8fk2Y/HY+c9M2F8Pp8TlEjyAztQM+nf6XQcs4xRGVUF9LvumQwywpOMXrvdrvMWe72eqwWU1z8ej10Rqq7n7u7OFbLX6/U0NrPZLI0NowQWtOp3eZ/1et0pVbD2icW7hGtVVKvvE0YVgqAxkfG9IHQkQoCeFyN1avGR4CCtRopUF7X9yOcKx54aeVRwoCKNiD6c4+z5VqQJqeiEZArWDyoSJMwt1h0LcfmOcC4yIuF98tmfz9deYYxGqIfaarUcA3Q6nSYW7nQ6LXz/iY7oeHpW7LPV7/dd/y6mOHLNTc43skwJR+u5mPmedbkKDd8fCQ6b+XpBpiRy9ZP/q5V28+KEYg8h9hnabrfuhXt6eipsPKh+PmZvg6vF5O7uzqrVqv30009m5hd45XJ0LZRjoXrG8XhMqtT5AqCXTzmRItkjtifnAigBUhnVB0hHZw8lQhtmb5sZFQeYC2KvolarlV6GVqtVCMlImdvM9zq6u7tzi2Wr1fpF8VptAtqUhdvrRdf4cgPnPNC1awwI58kOh0NyTvIC6sFgUNi/io6SIDYyUinPRCo9WVW5wCqLVXntbFbKHAmLwLkIE958eXlxG8nhcHC5VxanM79CR4ywKp03bVj8TBE0fT6f3WZBmjmLvYfDoaN2E1ZmPo5jP5/P03zNVeUJXxPS072b+f51pNCrKJ9sPf1tuVw6yjehRT27yWRi0+n0HU1f59H3n56eXBG6pMb0HChTpsWeBdzqW6jP8b6Hw2Fykvk8BdtzjtJxoipO7gyQxl/EoiXsr7VV1zOdTh0kyTQKHaXvsYANw8LCwsJKZ6WNvMzMeUqUimJ0RC9QXX35XTOvZ0gJKUEtHz58MDN7Bw0wusplYwiJFEFZhPl0D2TxsS0EpaJYPDkajZJwKz37PJH7888/m5lnAeoYZCXpnCJ28PopS6VjU5uQDDzCQNvt1rrdrkvO6zo7nU7y8tneoVar2e3tbfJY9buumbVD8sSXy6XrOs2WM2KNmvn6PsEwJPiwtov9s3RtEj3WtanQWX+TVzscDgvrYfS75hGfG0V+Nc667kajkc4zm83SnOj3+2lOqJCY2nHs68ReZGRSsoaLUbKuT+NL1htrI9XuxMwLVpMZKvIFoUzqkZKdx1qwTqfjxoB1fLoediFW53JG4Izo+d7rGeTahqvVKo3haDRyEBxZmSRyMQphqoHQK99LwXJEJAhDEhbOyWBCDubzuSvAJvKS67EKiVF/Pd0D+9/lzGGNoWrFZIzC9Dwul8u7mjhqJVIii8SS77HSbl7SZDO7ik/KSBllk7rFYuEq7MkC1ETs9XpOsZutss3MwUdUSSD9lJRtKqqzgNTsujBUKhV7fHx090AmJDcYvYhSiybrLS/81Pe1wOslKxLJ3e126UXg5itNPlJgdd2EjqglyCJcqQ/o+1SkIDOOlOh2u221Wi1ttlzc2M+o0+mkheXm5sZtjBRK5Uu12WzSHCA9X9dA6j4hTYoEs1CUOnZkB1LtXZYvavoORWAp+Euojo0quVA+PDy4omBCpFShoZL96XRy1HQ+n9lslj7Hhdvs2thVCi66BkLo3MgIk4tpp+NJxUHGhZLw6GazcXNZ8+r+/j69Fy8vL2keffz40ebzuYOZNcfVp0r3ncPJslar5To+0AlhWUXOLKUANouucyUOs7d5Q8dFfzd7e0d0bbPZzOUqcwo6N+Oi93KxWLgyAM4d5rQul4tbT9frtVuPqJjD/D4VjPJ1kuPOe+Tm9z1W2jqv3/72tykpSCWAXCqKUvyMGlhjtN1unSdN73C327nIiaSEIsFO4bt6QNPp1MmpsFZGk0P5K4rcyph8vrm5dv3VhkcPnpOEAsR6xJIloveoe5UYp+6HqhyMKLrdrrtOOgC6T7ZakOgxE/Ly/AaDgcsrkU7LCLrT6aTaPbbvoESPxoQ4Pbtj84Vnzo51Wqyv40bIjUg5B9atFG1Y3W7XfYae6/F4TA6FlBb0fGXL5dI+ffrk8p2MfOhxEzV4fn5OFOSvX7+6PAzzmDJFd5wTpKrLnp+f0zumfBxlhjSv81YpVJphRMAcK+nfXNwkAk3ZtFy5XEYnrNfruci/iKpOaSStGXpelDozM1e2whygnInZbGaXy8W1MdH5ucktFgvXXft4PLpIn/mvnOKusSH5h4olVPXgfJfIr66HijB0ZFk6JPUgtqwh9V7fyQkkNDourAfVMzF7myt//etfC7//v7HIeYWFhYWFlc5KCxuy7cdkMnHYbVFkIYxeHtpsNkvqA4wMSJOVZ0EsWF4pocGvX786UVuzK7zIAltGCa1Wy4XV9Xo9wTLsj0RqOWnE0lxktEKvVt4iPUJi+WZeQFcNMXWsXDWC7SgE5zHv1+v1nDIDo9rL5ZKigRwXp1Dpb37zGzO7ttyQh3Y6nezLly/pZ10nmZS6hyLGlc6lseb9syEeWYT0ZLfbbYoWFSEziqEeISNe/kw1hOPxmHKVrVbLidVq/gyHQ3eOnF1HyE7P8PHx0TXrZH5vOp06hQ3msggB7vf79Hx3u52j+2tslMdRZEaGInui0fs28xEJczlsF8PcjfJkVBAhW1fnWa/X6doUNemZ9Pt9pz3J/BWLuakh+unTp/Se39zcOPFqRhA6riJHahCybIVoD/O1hO3Yo43F1DlatNlsHLJEJRCWduiaN5uNo73nxfMslmcURzTq9fU1zQM2+sxLKVarVVrDzK4F0o1Gw+WMGf1+j5UWNvz973+fXnr28CFlnCGumYf9KAVEyEx5LrNrjoITgeK5lFOitAzVCLiRrFYrt7mRbk3ohLUQrNZnjkgbMcVSi3IDx+PRTVzmcgiNcQzq9XqiYn/+/Nn152JjR0rFkEhBmPH+/j69QGZvUAGVEbRhrdfrdM+6L/2+Wq3cRsZNIc9nsEca81zsDcbn22q13Mas+261WmnuTKdTN2/2+32aB8x1sEEpBWVF9+ac4AtMkV6ZVL5JwiEpKRdr5Rgw10flmLzUQmPNRZRwFRdUdXY2u0KNrH3T3H1+fnaLHu1yubhxoyPBbsl0OAWv5fejeWVmrgGnhIXp1LAGTPOYqjgSE9Z5uWlPJhMHJ7I3H9cWKqAwT86Nme+Fco3MPWp8c2iQOXPmW6vVqlMWYQNayrnRccpFjJmr59pCshD7E1Yq1+aref0bSwnyrspFRJlKpWJ///vf7VstYMOwsLCwsNJZaWHD0WjkmGWyzWbjPEnCFOokbOYLOAnh5YWi9XrdQQ309MnaYaW62dWTpMrHdrt1FFYmxKVAoL+xEp8af1SuyCncJCUQXmRx6mQySR7a5XJxiWlCA2QuEe748uWLSwZrDAhJfvjwwRVJ8zkQdqlUKmlsGWUo0tN1ttttB0VRe1JEDo0HoSCx0cx80l33cnt762AMM0vRHoucGV3pGGxFQfAiF1k2uxbr6l5ZqEkVjdPp5NRhWEh7OBycriZhad2n1FPkdS+XS6f5SCo4WaqMosjmlNKCPqc5KXhIz4Q0+uFwmObRYDBI8Nvd3Z0tFosUdT88PLgCeR1LgrX6mRFntVp1UbIs7zVWrVadxiXVMsiUY0RE4eH9fp8iNGpPml3nMWn/iqTzHnZmb/ND45brLHLeseRCKj36DhVHWFhPrdV8bSHywrQIVVyq1aq7ZkWFzWYzkX/MruxfjaGgec5JwaD6HFVg2BeOLPHvZRuWdvOaTqdOfVoPSy+Jmcd0F4uFE4U0843rNMAUm1ROpqhh2+FwcAuvHgjp6zL9zp5XrP8iLZbXZeYVEIh3656VnxD11szDHuwJpXoYHa/b7Tr5LNWzmZlTTW80Gul3brIaL32OEjSEUZlT2e12hbVdzGUJyqJwqu6T0A2hiEajYU9PT05JQEaogxt7p9NxZQ4sCRiPx+n55o35Xl5eHIWcmwLhZ8JAhEUvl0uab4PBIC1a3AQJT5n5jYjQEXOl8/nc9XI6nU5uvsrIEtM85Iahn9mzjovjhw8fbLPZpM9RSSOHvFnzdXt7m94/5q8It3IMBKvJ+bq7u0t9odiX6vHx0TmffCYsZcgdEObJOEdI9282m+lZSy1G98YaLeaFyHimCDPVOnL5LzEWdTzS7ql+T/Yz58H5fHYOs+YxSxD0Lzto8L2QYyFlIubn9KxeXl5cQ16dXwxj5kjJNqSyyX/LAjYMCwsLCyudlTbyYhKQxaos5J1Op86DJXuL0cByuUyewel0SmGxBGLlxbHzqc5l5pPc8mpJkqCHmbPd+BldA9ltx+O1vxKZS2IhKmFLCI6qHEwki7whL4zjQfURsyu812g0HFuI+o6EE6nhRl0/CXnS8xP0w7o3evlK1Gt8qLLABDjJNer+LM+cihJUL9ntdo4tWa1WC7XryLYizLbb7VxR+/F4TM+ABceMCsUmFcTZaDTS88k9WUY9rJMiU2+xWLhEO8kwjEwJJVPLMxeXVZsXM1+3Rr0+RlciBBBC03dubm5cfR2JVFSlYC1STkJg3dz9/X0hWsJzUm9PsJjGkfVbZtfIjpDoeDx2tUwiOehe9TkK0fKdEJGCNZckUjFSIjS+Xq/TPXA949wh8iM2KucEdRvZtoTzmIQ2fTY3CmMLqqRQMdcqKhgRvqa2JyFSRrmj0aiwSPpbrLSbF2mWXExY3U5G4eVyccK0ZNeZXTegTqeTFldBcxp40vOPx2OifzebzfTCirJOzJtySMKRyYgSbZj5GjLDCIXo+rW4628sSCUUlS+AXNC4UDA3wImuRVSbaaPRcFIzzCcICmOhqq6ZORa1ByeURTFf3ReLuHU/XHjJxKxWq85ZIX2b/aJY/NxsNt0Lx9zAeDx2vbC08UjJQ59jq3s+M8KGecmFmSVHg3nMarXqmFw6l34nU5X5DX1GfawoTK2/aYHVOQllEUrNC7LpOOn7Ly8vztmgDBvbxzebzTTfCcXpb/pO3gCWjDXmpvJ8NiFiigdQNICi24QNO52Oc0gE7ebXpn52Gk+9L3RU2DPQ7A1m1juy3+9dzlz2+vrq8rpMFVDFgiLd+gxzmmREs+yFPe94bBZ9sycivy/aPMuPWKLAvB1Ftim0TSeG3QS4+X3v5hWwYVhYWFhY6ay0kRejDgqamvn27mynwBowCosOh0PHNCKMw2JKQhB5ES+jkRzaYrSkYmbK4Ig1REmmIl0+EgLUml7XI+/QzMMC7Jws2JEyQxSCJVmBUQMZj4RL8s7BOi67KstbpX4fP1dUAKrCVEZLMnrIt7e3SXRYz1RjOhqNEoTYarXS9eQSP4SFmLQnbLJer10hcaPRSNfQ6XScUHFRcerz83MqVNbnGG2xPigv+tS1DQYDFxHJ2H5HnaAJKbImjlAWRVNp1WrVaXAKgs+1J1lgrr/rOvU51rpJoJmQE5EGigaT+HA8Hl2naKIIjCAY9VKI+fHx0Qk8s6if3+H1qLOyPidEgbA/EQ3NbxKR9Kyr1WoaQ0YdQi0YIXHuyKbTqeu+XK/XXSTG5yi0o9vtukJmph5YG8qUhuq0dFzqxZJp2u/3nRivxlAoFyN4tYI6HA7vGKT/DSvt5sXqcva80qJu5pk6wvwZulOMlA+bwqLU5SL9k2xBvqRa2DgRSUf9JeyYle8sMiQdtVarOfo4qeHcwMVkMvNQyXK5tF6v59hLMi7wgtP0/4PBwAnjagwk0KpxK9rIpCjNPkaTySSNp3qljcdjR6FlYTLbhed6blrI1bSPgsC6Nm5Yw+EwLc6Cvsik5PPhd7SAqceVxmo6nbrNUPdJSEbQIOeirvNwOKT7Yw5ECxXvT8bnzvdACxvzDpzvZNNxMWG+Q9Cy/sYuBrqW2Wz2DtbVNRDCYyv4XLeTfboooG1m7h3je8JckMZIn5dTKChNfxsMBoWiBSx7Ud5Px7+7u0tjtVgsHKuZ10gWI1MFzDsyx83cnOBMjS+LkTmeHz58SE5Yvf7W+FRzkYIDr6+vSYXm+fn5nRguVUv4fLiGsXiZBeqcE3z/mYLQekhmNfuGUT2ICi7fY6XdvLh5sE5lPB67nEreyoOqFiQIyCjOKsppUQI8lzaiMQqS/I6Zb9rHiEgUeDaZYy5HxsVInhHxY1L8SU0lbZYvHcVj2Yix2Ww6tQuqbFOGKm/4x5eP40xvkZNaeUgdl+oD4/HYyVqRYkyVb6pab7dbJ4ZL+rZeFMpgNRoNVzekiELjpntYLpcuv3Jzc5Nqq0g3JuWbUT6vyewtZ8RIVpspv388Hq3X67nf9exJ79eYyFqtlquxoyPGvBKjWr4XIqTobyRFUECY9VeURvolEo9y0SyH0AZDhRpSrFVzxkiSeaY8/6lnqG7Kuh/dN+u8JPqr+6EKxWKxcC2B6ORx7mls5Khw0ye6QGeLah10GkhgYUdsnsfMXENdM5+rJ0LECJURL+eR2bX+kaU2QheK5gEFlYnCqOaT4sKc/3yG7Jj+PRY5r7CwsLCw0llpI6/z+ZyiAzaQZINCM3MFoPSgKLxqdoXQyGyTCGURWynXqmPxcKvVSkwbMv9yPTR5IxIPZV6FxYWk2tILY06Pbbx7vV6CI5iXUm8x3SubQXY6nTSeo9HINcOs1WquQp8tRFism/fw0r2QVchokR7h8/PzL7bgIE7PZ8BeSco3MfqjAsKvf/1rM/MtUURdJlSocVdPIzPf7LDZbDqYWVp6ZubyM8xl6Xr47Pk30poJHdPLZT6O8yPXpDyfz4nhdzweXTsRjSEL6dWyQ2NAaJzMQ85Defk6NguYCZdSNUXvK3OKjG50zoeHB9dv7Xw+p0iSTGLOYwpZK7IgbM17IFrC8zD/Smanvqf/18/UepSQLqM6ojfMY+ZtRjTHZ7OZo+STTk6VFLZs0nM282UeFMZWRMlxJ9uWTGYiRJVKxc0r0uj1/jDiF42f6wQRGmp0shTie6y0mxdJAFxM8t5JzEeQvtxqtRwEqIFkvkY5FS6YVIjXw2aYTsKA2fuaKypcU2VcxAizt8WBeDHhL6pjULT0dDoluPJ8PjshXb0g2ni0GFA5g12WO52Oy/dQ+uY///lP+hxps6SME87RS63rJpX6cDi4henVlHQAABWXSURBVEXjKTFjEme4iOuF63Q6ibChZHquSK57ILzKcer1em5MqerOnI7G7OHhwfUuYx0P5wnpxXzWeg6E1ghfydbrte33e6fWroWbeQv2TtP9a3x6vV6CJPf7vVNg0PXsdjvXgLLX67kyCxIMqLhwOp1ck0UqT+RK/7w3/dvv9wuJLqzJ+/nnn+3+/j7d92KxSAtiu91O9XV8L6rVqqvRY5cIqnrkjUJJ9zcz54xqrHhv5/PZSV+RxMMNh8QOQqLa5HNylc7DDgIaD0krEb7lJsnNgDWsrPHLofEikzxUUecE3Z/uR2OgNZCiyjI+t7zW9XssYMOwsLCwsNJZaSMvaoYxXK3Vagk2JJwgncMiijBJGmQE0pPS39gVWcZi2dvbW0f9zXsVEZogNZzeeL1eT5EbKbD0ZgQBUgtORBWqIfR6Pec5TiaT5JXe3t466FXRGhmWggxZvU9iiYy0bFJzdV4qbJDUwOiGUBZbuZMi3e/307X89NNPjs67Xq/TPbB9PGExdtmdTCZJu1GfY98uRaNfv351fYp+/PFHp4upedLv9x0sRH29nFShqOF0Orlktr4jSJMQK2FuevAsCmaExY7AFGHdbreuaHQymTjRXR5b10MGnJ4RYTNqg5Ico/nVbDZtuVw6CI3vFd9lnfP+/j4RhnQPijooxJuXZrB8gXAg3zGiFormGaHp2mazWXp2zWbzHRFJRiFn3avuh9Ape6IRFXl4eHDkDSpnMGpnpMb/J0mKRCjS583e3md2RWfqQ8cej8e2XC5dt2+WBSja6na7jkhFpOB0OqU5/kuixbr3b7XS9vP64x//mBYUqkOYmYOIcniA0jVFltdy1et1B0lQdUFGeR3RpbWgDYdDB/sVSc1Uq1Vrt9su7Odk0fn5wmlBJ5bNeyL+rUlSrVZtMpkkqjr7dHEimr0XtiWEoBdCTSPN3hh0GjfR1nXN6/Xa0WtJy9Y4ttvt9HOv17Nut+s2DKoLEN7RC9JoNGy5XLrcp47HPMHNzU3alFS/JooxYUcuIP/617/S/7+8vNjLy0uiL282m+Q01Gq1dD2EiKX2oWcqarbGgPkrbX71et3lVSi2WqlUkojyfD53KimEmSnkPJvNCpUZ5OAxF8ReVCx/IGxI500OW9HPZIN2Oh1Xa8b8IhmZeS86dkHg38jOy3ONZPvJ2u22q5Xj2DKPSOYgy3BYPkE23vl8tna7nTZWQqwsF+DCrXo6OiS6NuaI6BwJ5i6i/lP9Y7fbub50ec6YJSQU1s2hQcqRaVNqtVrp2BRe1r0XrY9sAsw8+Xg8tj/96U/2rRawYVhYWFhY6ay0sCHroshSIzxCPTcpD7DOiqEsPSCZvBKG+qyzIruPArOEA+iF5TqDhNLy4l+qArCuQ/f6/PzsojXCdoz22PZkMpm46vtut5uukywgwiOCZCnASTYar03X0mg0XEREj5e1PxqzfGwkmsoaErIfGQnr/+fzuX3+/DlpEOo+zLy3KbhVY3s+n5Mn2e/3C/t0SbnC7MpaVVTIFjHUlMvFTNmjiZELE9hk3YmZpsi42Wy6FiRCEFhQTnhX90NtwaJ+Yoo6WMfD2i6dMxevzr15wot8X6hIQbZgt9t1USYjKmoe5qIDmjtEAhgZMAIx8wgC6z55PyrwZ20l0wgc06LeXoL2Kcyr+/n69aur/9I8EhrBXmXU4iSiovun+AGfg5nXPSXqIIZkEdOVaw5RKq1HJIroOhnN39zcOEH0XMxac4di3vpdn/keK+3mRWZLzoRi4SsbqrFALy/e5aQgY40bIFmN8/m8sBGcFl7S23lcMsuoNsDr+fTpkxNkJd2ZbEZ+p1qtOmVwvjCc4B8/fkwTaTKZpOsZj8duI9T3X15eHA13Npu5gl1K+ZCmzv5mzPsxD5mLkeqFEwTIBVEbDAuwmStpNptOoZ3MQUKvUikwe2OJseSCdOd8Puhau92uvb6+OmV8Mu30vY8fPyZmpjaIXGBV48nGh3qhJ5OJPT8/p/yCCkf1Oao56N4krcRFkM01qdbBuUt5NNKidU9mbw4Ri1bNrgv5er12RcIyKtxcLhebTqcJsqX4NOn+ZP1JcFsbbbvdTnAtmYNUTel0Ou8YrVTI4ftHZhwdxlzejexWMpF1zToHG4wyr8yFW/O42Wy6Plc8Hh1pSrOpNx7LNvRMf/zxx5QnZ681ObgUFy9yOvIC6m63m8a0VqulY8/n83Rv0+k0jY0gTLKkWfZB5i3H83ssYMOwsLCwsNJZaSOvXq/n2HlFyVvCLsvl0sEBTCaTRcUEr6IreROj0cgxgmS5/tr5fLaPHz+amU9WqojUzLdbX6/XDu5kov508l1ZZfq+ridPerMLsQQyJa0kwoYkXTRuhF7oMedwFOE+EjP0nfV6ncZnvV7baDRKn6NOIQknl8vFwbB8jpfLxUFZjPb0PBeLxTuJHkogUR+S1y6pIz0fwrqsu9F19vt963Q6Kaqq1WrJg5xMJmmcHh4e3kUmhBQZqVC4WfNms9lYr9dz0GeRhFLOeOOcYP0TvV8VWptdZdYUtVMM+HK5pHsgyaPRaLhImUQX1vtxDHe7nQ2HwwQnt1ot58Hz2HqGehYkoJCMxQiRtUtq46P70XEGg4Gbx4riut2ugzRJ2lJ3ajNfwE04UbV2ZCmTfEXSGKNiRtCNRsPBeUW9Am9ublzhN4v07+/v3xWrm10LrjkeOjY7HxPq7Pf7bj1if779fu8Erwmts2iasCPX1NVq5XQOv8dKu3kRsya9nX121JfGzBJrkBMpF5U0e89cJOxGxQMyn6imIDiAzCPSgEmB5UZGzJ0L+Xg8dpOaEAir4EnPJXOIIqw6D2ErwV+9Xi+Nwd3dXcqptNttq9VqabEmZZq07Far5fQLdS2fPn1yheMsrOTCy5zOZrNxlHiONdUTSGn+/PmzPT8/O1qzNjzmuUaj0TvhVzLQCAXpesiQFKxFR4MOkXJuhIt2u511Op10D+zdRij5eDymeaMyAo2j4EoeT8+DzK6cXcteU4K1pPBudt2sdB7qQJpdN3tqGTabTatUKmmxIkRE+IkMvnr9rXGqFq7tduvyVtyguBF1u13HzNV9c2NcrVbpvjudzju9Sc1XFo5rTHWdVCMxu7JYqUJBJ47KH1ojKFTAtIE2C97Her1+p0DC94GUfJno9Zy/VBzhOkPFE6oBEZJkGQHPr3WKzGayJ+n0a67ouWtMc6YrN0aJcdOR/RYr7eaVtxAgIUA4/3A4dMnjfLJogtO7YYJXNRZcbPVZyjFdLheHF/d6vbQY0LM3M7fwEnOnAHClUnHNNTUJ8jwBxU07nY4TQZVVq9U0SdR4kVGVxiCvpmeFP5PGbP/CXBiV9dfrtaN1U/WbDsRut3Nde7WRKnLjAk26tP6fHr+Zb5jIqIMReC4HxaaEFJ/98OGDmxd5s0bmkjTebM6nxUnPIJd6kjFKPZ1OrvaF10rHhcegx6w6JkZYmm/M2+VUch6bgqrMP3FTkuPEjVLXwxorqo9IAUIbHnMfVNynxJYQBDqmfEeYj1MkKRFYzr+icef7r1w474+lJnTqmNdlpMax4NzjhpcjHRoH3RvHnSLZLC3hBsj7NDMnCcfNj07zzc2Na3nDDUomp4MSaGzCyXdOJhk8rj10dljqUqTE8y0WOa+wsLCwsNJZqSMveRdk+7EPjdnV2yIV2OwtP0GaKgsR6bkyd0I4kYKzDLmr1aqD1ui95nkjff/Dhw+Oxi+hT/1MeDJX6KCwJ5l39DwpisniQ92fmfcWmSMSvKPjdTqdNG7L5TIdmwxFRbkap+1268ZO90aolHCthIWZ+yBsSHhSz1X5PObGqKSh6yR8R7WN/Lrn87kTaCYMW6/Xk/c6Ho+dULGORyhLKhH6Tg7DsC8Vi6ypQ8c2Hcz7vb6+ppymimCLNBUZkTGyFlOPZQ6CfshQZOQoT/zz58/pdx6beS19Z7lcurljdn03GQ0w97parWw6nTqYTM+R7zjVLRRF8l2TMQ/Dvn1mb/OctG8djwxDMhfzHBWjDhZ0ExZmJC+1H84/sn15zpypxzQG80p6btRj1LpCxOmXGvdqbRTqoOvNNRiZj9ezenl5cbk2tjhSmxr9TJj9e6y0mxcV1heLhYMENMEIW0ixQLbdbhO012g0EpwxHo8d/ZOKA7vdziU7SaTQeZR7IlzDF5sClfq+arZ07FqtVrhQsd5K8ApfUvZHYu5GdRWz2czG43G6Hm5KxMlXq5Xb8EajUaGa93A4TJ9bLBZp0WLzxuFw6CCiw+FQ2MOI8OxyuXRjylwEiQtUWajVag5yy/NX3AipFkB6PMkKjUYjjSd7gMm4CBOqpEOiMRPxR8+Bfa02m43bgNUnrNFoOGJHDlnr/z9+/PguF0WaOCGzIqgxv7e8KSHrr0jJv7u7S/k9Cl6TmDIYDNI8kHIGoUuSnKhsou9IwVzPbjabOZiNAsuEXvlOEFqjNJLOpXsmVKemrbq3olKISqWSrl/CxqxBowCw7q3f77s8aN7nSs+UpQw8v95RloBQJUTn3O12Lp/OfzVeum863XzHuRFNJpP0bufdLwh1EvJtt9suD0q5KlL6v8cCNgwLCwsLK52VNvKiBhrDYLOrl0FNPTOf7FdvHDMvwsrI4HK5vGsdLu+EOm2snN/v9+8EOEnjJ7zJ1gb7/b6wNQfFb6vVamIBqrqdUANhP3mIX758SdepwkMyDMnSIrypn8WK1Bjc398nqiw12Or1eiJlzOfzd4QGss6ogUglABanqnDUzMOo7MPE7q8qaqaKBdu86D4ZdTw+PtqnT5+cIDAjUUZuvE991uyqW6hzCkp7enpKtPdarWZPT0/vOmzrepgAl4dK8WIdQ3qGjJI3m40jX4xGI6fNyXeBxB9GE9QwpHgt4e/VauWUEQ6Hgzte3iHYzBeki2DBqJn6gYqIXl5e3onskvzESJSkCJILcnILoVd9jozeSqXiaOs8Ty7GrfeNaICiWkKfvDYZI1QV4pMow2JkRrI54Uv3o/Ifs7dIR+PE9ILKUQjb6zuEF1lmItUZzSuKZLOMh/cpZRU+B6JEvM6iMo9vsdJuXhSLJS36cDi4TUEvYt5XiNIqZOOwTxDPZXbN35h5GIeMqDzkXiwWblHX+ZfLZTon2Ym6H1JQCbWQ8jqfz9PCSWX70+naUDNX5W632+m62c/r6ekpXSdxduH5pC+T5ZnLJpn5F1sLCVmNZIbqGRK+ksKBvpNLaf373/82M7Nf/epX9s9//tPM3mA6MT3zY1P1Qc/L7A2uJVR4Op0c9Cq7vb11/09YihDefr93IqyEiPjSqhRAz1TnIgyj/B0hQTL3mF/RuEkiiAsVGy4SiiI7jqzGy+XiIF997u7uzp3/6enJ1ZBRkV1jlUu18T1lLRThxNPp2ies2Ww69fnVapU2EuY+WerSaDTce2FmhWN4uVzSdWrhJoyoOUEnNXcGeM0s52CenMK67B0nGSvdKxnTh8PB0e4JeVOqSdeuZ8oNm+sH/+XPjUbDMT6ZD2QaJt/46JDw/c2FtLk2cA0TK5Kf/xYL2DAsLCwsrHRW2sjL7Op1HI9H542QaSOvVEww1kxQ5UAeFVl/SmjSI6EqBj0dQl5m12itXq+7SnK2DND/NxqNVCehYxAmY42Tzin2Fz3woijocrkkuCcXJybLrF6vu67Eup/9fu/EThkJ5koCZG+S3UT4ieKztVrNCbXSQ12v12kMWehNSJTqB4IqCbPyc4LjKG56OBycRiUjZt2H7kvHFczGY4jsQ0+6Xq8neLZer9vj42P6G/tnEWZjtKmicV338Xh8RxrRNXKucV5TlJmddnMCC4kh1IukAkrOJtUxZYTJWMOkdjGTycQx/HJSBRUhKPxMSJX9+Eh+IiQqWFwQHolRLy8vheLIKrbVNQ0GAwf7cx7o58Fg4Nq9LJdLV3hOti3FgAVlL5dLd3/sNswIkwX+FDGQFV0b6/goeK3rEcLy+vrqCDl6BhLZ1fGkjmL2hlaQZMX6PNaAVatVxwrOmZZ6ht9jpd28zudzGpDxeJw2BS18Zm8vDAczF/DlS0oYRd/RoOvYxNmZSyOtW5RkTYTL5eJo1oQqKHPEyU/4iBvHfD53G6vOrWvj5lUEF7Tbbfc3shdJZ6f0liAkjfV0Ok3QHPH3/X7vzkVIR/CPrlf3tlwu3abAPJvgHzMv68MXhL2Wbm9vbbvdpo2aGzvHptlsJqdBMA4p00XyYYTiBOflsj18Jvl4CM7kAs970FhRdUUsVea29DOh7X6/70STJa2lZ0AWHwvcCTcx38gNSSLTGhcyyQifshCXG+N0OnWbL8tbCIftdrvEsiR8J5Fg/U4Yk+8I89/K/RSp1LN7BOn0gh25WBNO03xnUT5hf27Yuh7lhc/nsyvw5X3e3t66ppVFSh71ej195+7uzqn3VKvVtBkyZ845fX9/75z4vFEmjX0DSZ3vdDpOTUWWr5sc37wsQeveYDBwggffYwEbhoWFhYWVzkrbSfmHH35InsHnz58dPFJkSnSyeLBIs9Ds6hGozotkA7ZnoPYdC/LMzEV4NP1/r9dLnkneg4heaafTcclTedzyDkkg4b2zzYeuqdPpWKPRcO08FKlQKzIvwl0sFq4epKg+g6QOiqbmWoC73S55js1m03miGkNJfBVFKpSNIuFExY8ag8lk4hLLHE99R/p0+hx7IvV6PUc8IDxCiNrsKq1VqVRSJJxDMhyzxWKRnvdyuXQtKujJkvXG+jQSasyudWaqFWJCXuP+j3/8w/Wvk8lLZx0O65UY6VOomBCrhKV1D/w5hwcJ1WncSbAgm00MRR2DjMdKpeKIWRSOzXUC9bwIjZEhKaHhoppHMljN/PsrU1RJCSY9b9ZiUUxhs9m80/kkE5ORF6NfRoIUzCUT2uyqWTqfz11NHev9WNS/Wq3SePR6PYfy5GK+hHUZRZGQRnSCcLqidrO3Z/23v/3NvtVKu3mFhYWFhf3/tYANw8LCwsJKZ7F5hYWFhYWVzmLzCgsLCwsrncXmFRYWFhZWOovNKywsLCysdBabV1hYWFhY6Sw2r7CwsLCw0llsXmFhYWFhpbPYvMLCwsLCSmexeYWFhYWFlc5i8woLCwsLK53F5hUWFhYWVjqLzSssLCwsrHQWm1dYWFhYWOksNq+wsLCwsNJZbF5hYWFhYaWz2LzCwsLCwkpnsXmFhYWFhZXOYvMKCwsLCyudxeYVFhYWFlY6i80rLCwsLKx0FptXWFhYWFjpLDavsLCwsLDSWWxeYWFhYWGls9i8wsLCwsJKZ7F5hYWFhYWVzmLzCgsLCwsrncXmFRYWFhZWOovNKywsLCysdBabV1hYWFhY6Sw2r7CwsLCw0llsXmFhYWFhpbPYvMLCwsLCSmf/A01i2FtNNqg5AAAAAElFTkSuQmCC", "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": {}, "source": [ "## Deconvolution with L2 Regularization" ] }, { "cell_type": "markdown", "metadata": {}, "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 }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Complex{Float64},2}:\n", " 23958.7+0.0im -2144.59-880.427im … -2144.59+880.427im\n", " -2226.11-215.09im -2513.8-1522.87im -1422.37+671.403im\n", " -995.274-28.004im -210.573+499.168im 421.721+1009.84im\n", " 340.052+388.049im -116.447-339.164im -221.646-42.5098im\n", " -88.0326+596.207im 58.1121+173.68im 351.278+148.988im\n", " 350.608+197.358im 261.588-18.6983im … 124.366-74.2399im\n", " -122.305+377.567im 115.71+162.547im -317.304+69.243im \n", " -94.7202+203.708im 297.969+219.672im -309.183+58.5572im\n", " 94.0593+197.707im 32.0245+5.91317im -2.67815+88.1942im\n", " -31.5239+153.376im 77.0757-167.517im -98.0655+79.8516im\n", " -106.165+211.759im 3.20676+79.6975im … -72.7179+5.81958im\n", " -136.505+54.4924im -86.2551-30.0241im -7.33114-7.85917im\n", " 106.081-1.75823im 72.6982-7.23549im 23.1504-130.005im\n", " ⋮ ⋱ ⋮ \n", " 106.081+1.75823im 23.1504+130.005im 72.6982+7.23549im\n", " -136.505-54.4924im -7.33114+7.85917im … -86.2551+30.0241im\n", " -106.165-211.759im -72.7179-5.81958im 3.20676-79.6975im\n", " -31.5239-153.376im -98.0655-79.8516im 77.0757+167.517im\n", " 94.0593-197.707im -2.67815-88.1942im 32.0245-5.91317im\n", " -94.7202-203.708im -309.183-58.5572im 297.969-219.672im\n", " -122.305-377.567im -317.304-69.243im … 115.71-162.547im\n", " 350.608-197.358im 124.366+74.2399im 261.588+18.6983im\n", " -88.0326-596.207im 351.278-148.988im 58.1121-173.68im \n", " 340.052-388.049im -221.646+42.5098im -116.447+339.164im\n", " -995.274+28.004im 421.721-1009.84im -210.573-499.168im\n", " -2226.11+215.09im -1422.37-671.403im … -2513.8+1522.87im" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "yF = plan_fft(y)*y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Select a value for the regularization parameter." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.02" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Lambda = 0.02" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perform the inversion." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.149093 0.165089 0.178622 0.190415 … 0.0878122 0.109116 0.13022 \n", " 0.136647 0.154546 0.169676 0.182277 0.0726905 0.0940917 0.116137 \n", " 0.124065 0.144078 0.161611 0.176425 0.0579342 0.0793316 0.102077 \n", " 0.114283 0.13597 0.156215 0.17442 0.0478882 0.0689342 0.0916311\n", " 0.111222 0.133845 0.156543 0.178514 0.0463233 0.0668159 0.08879 \n", " 0.117624 0.140685 0.165205 0.190297 … 0.0541622 0.0744158 0.0956815\n", " 0.132834 0.156421 0.18205 0.208774 0.0683762 0.0892419 0.110712 \n", " 0.152338 0.177014 0.203073 0.229466 0.0831152 0.105592 0.128707 \n", " 0.169684 0.195987 0.221727 0.245692 0.0925567 0.117262 0.143277 \n", " 0.179659 0.207576 0.232026 0.251615 0.0937519 0.120597 0.149964 \n", " 0.180669 0.209474 0.231512 0.245211 … 0.087803 0.116035 0.148205 \n", " 0.174971 0.203534 0.222234 0.229285 0.0788628 0.107346 0.141024 \n", " 0.166859 0.194232 0.209321 0.209974 0.0717455 0.099263 0.132887 \n", " ⋮ ⋱ ⋮ \n", " 0.231873 0.265332 0.288015 0.296808 0.125001 0.155286 0.192983 \n", " 0.227424 0.261521 0.285827 0.297261 … 0.121727 0.151465 0.188651 \n", " 0.218411 0.252965 0.278616 0.29245 0.11502 0.14348 0.179876 \n", " 0.206276 0.240726 0.267103 0.282819 0.106232 0.13308 0.168389 \n", " 0.194443 0.227716 0.253787 0.270566 0.0988959 0.124261 0.158066 \n", " 0.186214 0.217016 0.241587 0.258483 0.0962109 0.12057 0.152419 \n", " 0.18252 0.20981 0.231945 0.248204 … 0.0987845 0.122654 0.152191 \n", " 0.181488 0.204834 0.224153 0.239443 0.104356 0.127987 0.155024 \n", " 0.180076 0.199742 0.21644 0.230789 0.109414 0.132704 0.157282 \n", " 0.176158 0.192983 0.207637 0.221166 0.111117 0.133808 0.156271 \n", " 0.169317 0.184521 0.197891 0.210633 0.108098 0.130074 0.151131 \n", " 0.160122 0.175083 0.18804 0.200076 … 0.100146 0.121599 0.142219 " ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fL2 = real(plan_ifft((yF .* hF ./ (abs(hF).^2 .+ Lambda)))*((yF .* hF ./ (abs(hF).^2 .+ Lambda))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "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": {}, "source": [ "**Exercise 1:** Find the optimal solution fL2 by testing several value of $\\lambda$." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "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", " 0.153353 0.168386 0.18086 0.192 … 0.0908441 0.113237 0.134826 \n", " 0.140676 0.158475 0.172996 0.184732 0.0737242 0.0964072 0.119591 \n", " 0.126376 0.14685 0.164242 0.178415 0.0564598 0.0791595 0.103327 \n", " 0.113612 0.135722 0.156164 0.174416 0.0445396 0.0665043 0.0902054\n", " 0.107696 0.13007 0.153035 0.175974 0.0430262 0.063685 0.0855858\n", " 0.113049 0.134862 0.159468 0.18635 … 0.0533059 0.0729169 0.0928173\n", " 0.129751 0.151289 0.176755 0.205749 0.0714045 0.091151 0.110363 \n", " 0.152487 0.174964 0.200758 0.229467 0.0894884 0.110914 0.131717 \n", " 0.172989 0.197717 0.22332 0.249224 0.0998481 0.124038 0.148561 \n", " 0.184421 0.211917 0.236488 0.257276 0.0988583 0.125916 0.155148 \n", " 0.184746 0.214385 0.236756 0.250658 … 0.088517 0.117586 0.151021 \n", " 0.177084 0.207497 0.226617 0.232795 0.0748909 0.104562 0.140539 \n", " 0.167227 0.197145 0.212723 0.211598 0.0646893 0.0934342 0.129855 \n", " ⋮ ⋱ ⋮ \n", " 0.236462 0.270976 0.294077 0.302818 0.124359 0.156366 0.195936 \n", " 0.232515 0.267254 0.291772 0.303179 … 0.122946 0.15409 0.192641 \n", " 0.222816 0.258031 0.283876 0.297678 0.115761 0.145421 0.183147 \n", " 0.208891 0.244206 0.27081 0.286455 0.104639 0.132629 0.16954 \n", " 0.195276 0.229439 0.255616 0.272201 0.0948914 0.121516 0.157218 \n", " 0.186468 0.21778 0.242074 0.258567 0.091444 0.117334 0.151175 \n", " 0.183625 0.210676 0.231967 0.247629 … 0.0953814 0.121099 0.15242 \n", " 0.184024 0.206238 0.22417 0.238831 0.103578 0.129238 0.157575 \n", " 0.183565 0.201338 0.216315 0.230216 0.11121 0.136444 0.161677 \n", " 0.179808 0.194329 0.207188 0.220527 0.114617 0.13892 0.161446 \n", " 0.172871 0.185813 0.197515 0.210164 0.112314 0.135519 0.156338 \n", " 0.163926 0.177116 0.188658 0.200404 … 0.10422 0.126696 0.147237 " ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# run -i nt_solutions/inverse_2_deconvolution_variational/exo1\n", "include(\"Exos\\\\inverse_2_deconvolution_variational\\\\exo1.jl\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display optimal result." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fL2), string(\"L2 deconvolution, SNR = \", string(round(snr(f0, fL2), 2)), \"dB\") )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Deconvolution by Sobolev Regularization." ] }, { "cell_type": "markdown", "metadata": {}, "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": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.0 6.10352e-5 0.000244141 … 0.000244141 6.10352e-5 \n", " 6.10352e-5 0.00012207 0.000305176 0.000305176 0.00012207 \n", " 0.000244141 0.000305176 0.000488281 0.000488281 0.000305176\n", " 0.000549316 0.000610352 0.000793457 0.000793457 0.000610352\n", " 0.000976563 0.0010376 0.0012207 0.0012207 0.0010376 \n", " 0.00152588 0.00158691 0.00177002 … 0.00177002 0.00158691 \n", " 0.00219727 0.0022583 0.00244141 0.00244141 0.0022583 \n", " 0.00299072 0.00305176 0.00323486 0.00323486 0.00305176 \n", " 0.00390625 0.00396729 0.00415039 0.00415039 0.00396729 \n", " 0.00494385 0.00500488 0.00518799 0.00518799 0.00500488 \n", " 0.00610352 0.00616455 0.00634766 … 0.00634766 0.00616455 \n", " 0.00738525 0.00744629 0.00762939 0.00762939 0.00744629 \n", " 0.00878906 0.0088501 0.0090332 0.0090332 0.0088501 \n", " ⋮ ⋱ ⋮ \n", " 0.00878906 0.0088501 0.0090332 0.0090332 0.0088501 \n", " 0.00738525 0.00744629 0.00762939 … 0.00762939 0.00744629 \n", " 0.00610352 0.00616455 0.00634766 0.00634766 0.00616455 \n", " 0.00494385 0.00500488 0.00518799 0.00518799 0.00500488 \n", " 0.00390625 0.00396729 0.00415039 0.00415039 0.00396729 \n", " 0.00299072 0.00305176 0.00323486 0.00323486 0.00305176 \n", " 0.00219727 0.0022583 0.00244141 … 0.00244141 0.0022583 \n", " 0.00152588 0.00158691 0.00177002 0.00177002 0.00158691 \n", " 0.000976563 0.0010376 0.0012207 0.0012207 0.0010376 \n", " 0.000549316 0.000610352 0.000793457 0.000793457 0.000610352\n", " 0.000244141 0.000305176 0.000488281 0.000488281 0.000305176\n", " 6.10352e-5 0.00012207 0.000305176 … 0.000305176 0.00012207 " ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S = (X.^2 + Y.^2) .* (2/n).^2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Regularization parameter:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.2" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Lambda = 0.2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perform the inversion." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.157885 0.172733 0.184954 0.195787 … 0.0940203 0.117403 0.139365 \n", " 0.141672 0.158638 0.172746 0.184599 0.0759873 0.0989088 0.121517 \n", " 0.124521 0.143748 0.160667 0.175263 0.0581004 0.0803031 0.103089 \n", " 0.110894 0.13186 0.152001 0.170807 0.0460371 0.0671338 0.0891809\n", " 0.105992 0.127927 0.151107 0.174707 0.044475 0.0643542 0.0849584\n", " 0.113114 0.135549 0.161157 0.188939 … 0.054451 0.0736313 0.0929513\n", " 0.131209 0.15432 0.181567 0.211845 0.0721352 0.0917544 0.111015 \n", " 0.154541 0.179022 0.20707 0.237465 0.090164 0.111548 0.132626 \n", " 0.175072 0.201627 0.22953 0.257409 0.101049 0.125122 0.149748 \n", " 0.186348 0.215136 0.241742 0.26461 0.100784 0.127677 0.156711 \n", " 0.186538 0.216972 0.241011 0.256878 … 0.0906307 0.119676 0.152823 \n", " 0.178882 0.209911 0.23035 0.238101 0.0761723 0.106199 0.142238 \n", " 0.169392 0.200087 0.216605 0.216318 0.0643116 0.0939873 0.131282 \n", " ⋮ ⋱ ⋮ \n", " 0.242964 0.280611 0.305408 0.313826 0.119894 0.155094 0.198576 \n", " 0.237667 0.275216 0.30123 0.31243 … 0.117415 0.151804 0.194183 \n", " 0.226794 0.263961 0.290968 0.30491 0.111566 0.143964 0.184586 \n", " 0.212218 0.248503 0.275954 0.292175 0.103268 0.133181 0.171684 \n", " 0.197884 0.232348 0.259256 0.276865 0.0958865 0.123564 0.159703 \n", " 0.187711 0.219163 0.244317 0.262225 0.0929563 0.119168 0.152754 \n", " 0.1833 0.210722 0.23311 0.250387 … 0.0958281 0.121424 0.152329 \n", " 0.183234 0.20618 0.225329 0.241445 0.102911 0.128405 0.15659 \n", " 0.184333 0.2031 0.219155 0.233954 0.110734 0.136154 0.16175 \n", " 0.183589 0.199151 0.212735 0.226221 0.115672 0.140744 0.164169 \n", " 0.179253 0.193043 0.205058 0.217271 0.115113 0.139589 0.161604 \n", " 0.170686 0.1843 0.195821 0.206986 … 0.107803 0.131666 0.153244 " ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fSob = real(plan_ifft((yF .* hF ./ (abs(hF).^2 .+ Lambda.*S)))*((yF .* hF ./ (abs(hF).^2 .+ Lambda.*S))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fSob), string(\"Sobolev deconvolution, SNR = \", string( round(snr(f0, fSob), 2) ), \"dB\") )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise 2:** Find the optimal solution fSob by testing several value of\n", "$\\lambda$." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "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", " 0.155183 0.170765 0.183713 0.194943 … 0.0916996 0.114484 0.136286 \n", " 0.139399 0.156491 0.170982 0.183338 0.0751267 0.0974169 0.11948 \n", " 0.123748 0.14276 0.159765 0.174726 0.0590022 0.0806684 0.102813 \n", " 0.112364 0.133211 0.153268 0.172033 0.0481561 0.0690593 0.0908498\n", " 0.109464 0.131809 0.154922 0.177918 0.0464081 0.0666485 0.0878109\n", " 0.117273 0.140868 0.16658 0.193235 … 0.0545223 0.0746354 0.0954639\n", " 0.134326 0.159223 0.186784 0.215603 0.0693331 0.0902332 0.111688 \n", " 0.155464 0.181937 0.210415 0.239286 0.0848572 0.107507 0.130903 \n", " 0.173906 0.202128 0.230414 0.256975 0.0949854 0.11998 0.146431 \n", " 0.18433 0.214046 0.240867 0.262858 0.096318 0.123623 0.153563 \n", " 0.185225 0.215682 0.23974 0.255348 … 0.0895962 0.118576 0.151595 \n", " 0.179171 0.209378 0.229681 0.237872 0.0790279 0.108668 0.143708 \n", " 0.170993 0.200176 0.216413 0.217207 0.0699788 0.0991438 0.134877 \n", " ⋮ ⋱ ⋮ \n", " 0.240808 0.278164 0.303054 0.311813 0.120719 0.154721 0.197145 \n", " 0.235098 0.272825 0.299223 0.310808 … 0.116655 0.15006 0.191816 \n", " 0.224537 0.262069 0.289597 0.303932 0.110567 0.14217 0.182344 \n", " 0.210989 0.247648 0.275672 0.292285 0.103293 0.132513 0.170524 \n", " 0.197834 0.2327 0.260266 0.278297 0.0973281 0.124285 0.159802 \n", " 0.188319 0.220368 0.246376 0.264772 0.095197 0.120537 0.15343 \n", " 0.183785 0.212191 0.235712 0.253525 … 0.0977559 0.122283 0.152573 \n", " 0.18309 0.207488 0.228029 0.244639 0.103619 0.127918 0.155734 \n", " 0.183502 0.204104 0.221688 0.236834 0.109904 0.134164 0.159735 \n", " 0.182221 0.199769 0.21485 0.228512 0.113527 0.137622 0.16133 \n", " 0.177394 0.193009 0.206347 0.21867 0.112179 0.135905 0.158318 \n", " 0.168298 0.18328 0.195854 0.207226 … 0.104773 0.128028 0.149834 " ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# run -i nt_solutions/inverse_2_deconvolution_variational/exo2\n", "\n", "include(\"Exos\\\\inverse_2_deconvolution_variational\\\\exo2.jl\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display optimal result." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imageplot(clamP(fSob), string(\"Sobolev deconvolution, SNR = \", string( round(snr(f0, fSob), 2) ), \"dB\") )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Deconvolution by Total Variation Regularization" ] }, { "cell_type": "markdown", "metadata": {}, "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": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.004" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "epsilon = 0.4*1e-2" ] }, { "cell_type": "markdown", "metadata": {}, "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": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.06" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Lambda = 0.06" ] }, { "cell_type": "markdown", "metadata": {}, "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": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.015702479338842973" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tau = 1.9 / (1 + Lambda * 8 / epsilon)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initialization." ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.151497 0.156661 0.158723 0.200943 … 0.0855666 0.105065 0.154676 \n", " 0.128197 0.153212 0.204437 0.144666 0.144395 0.0792051 0.113058 \n", " 0.163829 0.163432 0.201985 0.197461 0.100375 0.109656 0.114212 \n", " 0.157414 0.12863 0.151896 0.210052 0.0686484 0.0870508 0.119795 \n", " 0.105056 0.175754 0.161697 0.194657 0.0648838 0.11115 0.128349 \n", " 0.0979527 0.164152 0.173758 0.164726 … 0.0705468 0.0842978 0.0832299\n", " 0.138998 0.16353 0.172074 0.183183 0.101824 0.124637 0.164174 \n", " 0.182639 0.133786 0.195349 0.189965 0.103157 0.114552 0.0943955\n", " 0.115323 0.198757 0.207743 0.197172 0.111343 0.112721 0.184525 \n", " 0.132442 0.207344 0.170676 0.186718 0.0735518 0.126847 0.116173 \n", " 0.167729 0.179642 0.203359 0.144056 … 0.112005 0.123076 0.145931 \n", " 0.130043 0.185567 0.185507 0.20567 0.105781 0.0933402 0.138121 \n", " 0.158515 0.175519 0.200186 0.186478 0.061173 0.148652 0.107409 \n", " ⋮ ⋱ ⋮ \n", " 0.215098 0.212715 0.243894 0.235835 0.1713 0.175189 0.149754 \n", " 0.198082 0.215331 0.217057 0.232337 … 0.19755 0.213086 0.215075 \n", " 0.242271 0.25164 0.267781 0.254595 0.152434 0.20092 0.155913 \n", " 0.197873 0.239698 0.22226 0.246612 0.133002 0.102168 0.170487 \n", " 0.180182 0.229346 0.244966 0.227581 0.160357 0.143198 0.165565 \n", " 0.161042 0.209684 0.19716 0.214735 0.165361 0.149927 0.184192 \n", " 0.184417 0.241261 0.189138 0.220115 … 0.103472 0.169334 0.151424 \n", " 0.174154 0.217453 0.233964 0.235056 0.141581 0.167344 0.160778 \n", " 0.180469 0.176171 0.211045 0.240946 0.133008 0.102179 0.155672 \n", " 0.180782 0.170594 0.195509 0.213029 0.10495 0.133586 0.168533 \n", " 0.169704 0.12598 0.200014 0.168629 0.118593 0.161339 0.153791 \n", " 0.165114 0.135443 0.228965 0.206421 … 0.112003 0.110828 0.130652 " ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fTV = y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Number of iteration (quite a large number is required)." ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "300" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "niter = 300" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first check that the discretized grad and -div are adjoint one of each other." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Should be 0: -5.684341886080802e-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": {}, "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": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.259701 0.678925 -1.99717 … -2.93265 -0.383558 2.52216 \n", " -1.38586 -1.20901 2.74875 3.22179 -2.69556 -1.28962 \n", " 2.70549 0.070532 1.7817 1.07623 1.71616 -0.833904\n", " 1.47755 -2.48427 -1.70103 -1.35936 -1.39907 -0.277463\n", " -2.22525 3.26256 -1.862 -1.41656 1.87927 2.09882 \n", " -1.29611 -0.634774 2.33231 … -1.702 -1.40424 -2.07361 \n", " -1.17003 1.10815 -1.21167 0.83532 1.25975 3.22522 \n", " 2.96325 -2.95216 1.08147 -0.350056 1.6008 -3.32971 \n", " -2.69855 0.357819 2.79699 2.25689 -1.22499 3.10691 \n", " -0.652107 2.95666 -3.08171 -2.90335 2.20528 -2.93893 \n", " 2.00214 -1.49731 3.09299 … 1.03513 0.699794 0.882056\n", " -2.5444 2.06174 -1.67252 1.12843 -2.46027 1.5078 \n", " 1.7335 -1.74409 2.78789 -2.3267 3.11894 -2.58689 \n", " ⋮ ⋱ ⋮ \n", " 2.28974 -2.12512 1.95835 -0.0937311 0.460886 -2.94249 \n", " -2.53062 -0.594801 -2.14334 … 2.59255 1.93681 2.09443 \n", " 2.68225 0.993511 2.97752 -1.27184 1.31058 -2.52482 \n", " -0.529859 1.67859 -3.20401 0.467135 -3.0243 0.223325\n", " -0.346759 0.587377 2.56893 1.82513 -1.65044 -0.615649\n", " -2.26675 -0.431464 -1.78722 2.33328 -1.31354 3.02823 \n", " 0.583071 3.22679 -2.70147 … -3.31293 2.43273 -3.00951 \n", " -0.406627 1.12585 2.12745 0.460407 1.92409 -0.385369\n", " 1.70042 -2.4801 -0.426175 0.772475 -3.09512 -0.817467\n", " 2.04426 -0.426813 -1.16057 -1.99032 0.00155164 1.36312 \n", " 0.94405 -2.97797 1.29047 0.559354 2.73687 -0.645544\n", " 2.02879 -1.97093 2.90534 … 1.65277 -1.69851 -1.25896 " ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "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": {}, "source": [ "Compute the TV norm, usefull to keep track of its decay through\n", "iterations." ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Smoothed TV norm of the image: 2481.38" ] } ], "source": [ "tv = sum(d)\n", "print(string(\"Smoothed TV norm of the image: \", string(round(tv,2))) )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perform a step of gradient descent for the inversion." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "256×256 Array{Float64,2}:\n", " 0.151215 0.156025 0.160647 0.199819 … 0.0881783 0.105308 0.15222 \n", " 0.129456 0.154347 0.201883 0.147926 0.141196 0.0816142 0.114183 \n", " 0.16123 0.16336 0.200343 0.197504 0.0991888 0.107902 0.114902 \n", " 0.155977 0.130973 0.153544 0.207076 0.0697545 0.0882315 0.119964 \n", " 0.107122 0.172698 0.163516 0.194502 0.0660505 0.109252 0.12629 \n", " 0.0991651 0.164793 0.17165 0.167561 … 0.0719976 0.0855106 0.0851226\n", " 0.14012 0.162558 0.173335 0.18335 0.100906 0.123364 0.161101 \n", " 0.179897 0.13667 0.194478 0.190922 0.103379 0.112984 0.0975268\n", " 0.117941 0.198548 0.205279 0.197997 0.109131 0.113839 0.181618 \n", " 0.13315 0.204702 0.173763 0.186998 0.0762186 0.124751 0.11898 \n", " 0.165945 0.181201 0.200628 0.147062 … 0.110972 0.12241 0.145148 \n", " 0.132541 0.183767 0.187255 0.203252 0.104667 0.0956555 0.136751 \n", " 0.156973 0.177291 0.19771 0.186636 0.0633184 0.14571 0.109891 \n", " ⋮ ⋱ ⋮ \n", " 0.213075 0.214901 0.242266 0.23621 0.17136 0.174774 0.152603 \n", " 0.200591 0.216069 0.219292 0.23319 … 0.195066 0.211268 0.213167 \n", " 0.239856 0.250872 0.265184 0.254842 0.153578 0.199678 0.158343 \n", " 0.198469 0.23827 0.225476 0.246129 0.132495 0.104996 0.170313 \n", " 0.18059 0.22893 0.242727 0.227747 0.158559 0.144718 0.166167 \n", " 0.163243 0.21021 0.199008 0.216108 0.163075 0.151119 0.181347 \n", " 0.183919 0.238324 0.191829 0.220614 … 0.106499 0.166989 0.154256 \n", " 0.174575 0.216478 0.232088 0.234825 0.141048 0.165471 0.161128 \n", " 0.178891 0.178576 0.211555 0.238212 0.132175 0.105027 0.156418 \n", " 0.178864 0.171047 0.196692 0.212122 0.106713 0.133506 0.167213 \n", " 0.168806 0.128819 0.198869 0.171676 0.117942 0.15867 0.154349 \n", " 0.163178 0.137317 0.226282 0.206932 … 0.110308 0.112324 0.131773 " ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "e = Phi(fTV, h) - y\n", "fTV = fTV - tau*(Phi(e, h) + Lambda*G)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise 3:** Perform the deblurring by a gradient descent.\n", "Keep track of the function being minimized." ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# run -i nt_solutions/inverse_2_deconvolution_variational/exo3\n", "\n", "include(\"Exos\\\\inverse_2_deconvolution_variational\\\\exo3.jl\")\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": false }, "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": {}, "source": [ "### Exercise 4" ] }, { "cell_type": "markdown", "metadata": {}, "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": 82, "metadata": { "collapsed": false }, "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", " 0.152193 0.169912 0.183992 0.197425 … 0.0787195 0.104248 0.130522 \n", " 0.139583 0.160028 0.174824 0.189787 0.0617419 0.0885916 0.116089 \n", " 0.126929 0.151553 0.167461 0.184603 0.0473128 0.074182 0.102412 \n", " 0.117631 0.146308 0.163301 0.182783 0.0395104 0.0656472 0.0939512\n", " 0.115168 0.145707 0.164183 0.185734 0.0380241 0.064439 0.0924727\n", " 0.121844 0.150996 0.17214 0.195112 … 0.0419487 0.0706764 0.0975252\n", " 0.137365 0.164269 0.188176 0.222533 0.0522239 0.0826175 0.109108 \n", " 0.158032 0.183521 0.227832 0.247534 0.0650551 0.0960626 0.126835 \n", " 0.174623 0.218153 0.239911 0.251698 0.0735915 0.107709 0.144193 \n", " 0.193423 0.22405 0.241263 0.251815 0.0761599 0.113063 0.15324 \n", " 0.197583 0.221302 0.237071 0.248168 … 0.0738553 0.110179 0.15495 \n", " 0.194012 0.212505 0.225523 0.235091 0.0710111 0.101538 0.148755 \n", " 0.18708 0.200346 0.207464 0.210496 0.0711945 0.092608 0.13889 \n", " ⋮ ⋱ ⋮ \n", " 0.259492 0.280299 0.284787 0.286319 0.118719 0.128091 0.191049 \n", " 0.253078 0.279296 0.284688 0.286425 … 0.11337 0.121756 0.182419 \n", " 0.241017 0.275703 0.283079 0.285267 0.108504 0.114626 0.169209 \n", " 0.223928 0.268393 0.279309 0.282556 0.104831 0.108998 0.154737 \n", " 0.206231 0.257059 0.272184 0.27742 0.102555 0.105966 0.144974 \n", " 0.193959 0.244009 0.261815 0.268898 0.101421 0.105183 0.143028 \n", " 0.188581 0.23193 0.251041 0.259556 … 0.101187 0.107062 0.14706 \n", " 0.186361 0.221056 0.240542 0.250569 0.101544 0.113269 0.152653 \n", " 0.183531 0.210739 0.229638 0.241142 0.102281 0.121063 0.155778 \n", " 0.178693 0.200498 0.217947 0.230465 0.10255 0.124923 0.154977 \n", " 0.171792 0.190233 0.205879 0.218669 0.0999005 0.123295 0.150366 \n", " 0.162984 0.180041 0.194377 0.207191 … 0.0921866 0.116338 0.142211 " ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# run -i nt_solutions/inverse_2_deconvolution_variational/exo4\n", "\n", "# include(\"Exos\\\\inverse_2_deconvolution_variational\\\\exo4.jl\")\n", "\n", "niter = 300\n", "lambda_list = linspace(1e-6,.01,20)\n", "tau = 1.9 / ( 1 + maximum(lambda_list) * 8 / epsilon)\n", "fBest = y\n", "fTV = y\n", "err = zeros(length(lambda_list), 1)\n", "for it in 1 : length(lambda_list)\n", " # print('.',end=\"\",flush=True)\n", " Lambda = lambda_list[it]\n", " for i in 1 : niter\n", " # Compute the gradient of the smoothed TV functional.\n", " Gr = grad(fTV)\n", " d = sqrt(epsilon^2 + sum(Gr.^2, 3))\n", " G = -NtToolBox.div(Gr ./ repeat3(d) )\n", " # step\n", " e = Phi(fTV, h) - y\n", " fTV = fTV - tau.*( Phi(e, h) + Lambda.*G)\n", " end\n", " err[it] = snr(f0, fTV)\n", " if err[it] > snr(f0, fBest)\n", " fBest = fTV\n", " end\n", "end\n", "clf\n", "plot(lambda_list, err)\n", "axis(\"tight\")\n", "xlabel(L\"\\lambda\")\n", "ylabel(\"SNR\")\n", "fTV = fBest\n", "\n", "####\n", "\n", "# it = 1\n", "# Lambda = lambda_list[it]\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the result." ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 83, "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 }, "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 }