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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## GSP_DEMO - Tutorial on the GSPBox"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is a notebook version of [gsp_demo](https://lts2.epfl.ch/gsp/doc/demos/gsp_demo.php) by the epfl group. I took no credit on any of this. I just reformatted it into a notebook for convenience.\n",
"\n",
"In this demo, we are going to show the basic operations of the GSPBox. To lauch the toolbox, just go into the repository where the GSPBox was extracted and type:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GSPBox version 0.6.0. Copyright 2013-2015 LTS2-EPFL,\n",
"by Nathanael Perraudin, Johan Paratte, David Shuman and Vassilis Kalofolias\n"
]
}
],
"source": [
"gsp_start"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A banner will popup telling you that everything happens correctly. To speedup some processing, you might want to compile some mexfile. Refer to [gsp_make](https://lts2.epfl.ch/gsp/doc/gsp_make.php) for more informations. However, if the compilation is not working on your computer, keep quiet, everything should still work and most of the routine are implemented only in matlab.\n",
"\n",
"Most likely, the first thing you would like to do is to create a graph. To do so, you only need the adjacency or the weight matrix $W$. Once you have it, you can construct a graph using:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"W =\n",
"\n",
" 0 0.9134 0.2785\n",
" 0.9058 0 0.5469\n",
" 0.1270 0.0975 0\n"
]
}
],
"source": [
"W=rand(3); W=W-diag(diag(W))\n",
"G = gsp_graph(W);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This function will create a full structure ready to be used with the toolbox. To know a bit more about what is in this structure, you can refer to the help of the function [gsp_graph_default_parameters](https://lts2.epfl.ch/gsp/doc/graphs/gsp_graph_default_parameters.php).\n",
"\n",
"The GSPBox contains also a list of graph generators. To see a full list of these graphs, type:\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GSPBOX - Graphs\n",
" \n",
" Specific graphs\n",
" gsp_swiss_roll - Create swiss roll graph\n",
" gsp_david_sensor_network - Create the sensor newtwork from david\n",
" gsp_ring - Create the ring graph\n",
" gsp_path - Create the path graph\n",
" gsp_airfoil - Create the airfoil graph\n",
" gsp_comet - Create the comet graph\n",
" gsp_erdos_renyi - Create a erdos renyi graph\n",
" gsp_minnesota - Create Minnesota road graph\n",
" gsp_low_stretch_tree - Create a low stretch tree graph\n",
" gsp_sensor - Create a random sensor graph\n",
" gsp_random_regular - Create a random regular graph\n",
" gsp_random_ring - Create a random ring graph\n",
" gsp_full_connected - Create a fully connected graph\n",
" gsp_nn_graph - Create a nearest neighbors graph\n",
" gsp_rmse_mv_graph - Create a nearest neighbors graph with missing values\n",
" gsp_sphere - Create a spherical-shaped graph\n",
" gsp_cube - Create a cubical-shaped graph\n",
" gsp_2dgrid - Create a 2d-grid graph\n",
" gsp_torus - Create a torus graph\n",
" gsp_logo - Create a GSP logo graph\n",
" gsp_community - Create a community graph\n",
" gsp_bunny - Create a bunny graph\n",
" gsp_spiral - Create a spiral graph\n",
" gsp_stochastic_block_graph - Create a graph with the stochastic block model\n",
" \n",
" Hypergraphs\n",
" gsp_nn_hypergraph - Create an hyper nearest neighbor graph\n",
" gsp_hypergraph - Create an hypergraph\n",
" \n",
" Utils\n",
" gsp_graph_default_parameters- Initialise all parameters for a graph\n",
" gsp_graph_default_plotting_parameters- Initialise all plotting parameters for a graph\n",
" gsp_graph - Create a graph from a weight matrix\n",
" gsp_update_weights - Update the weights of a graph\n",
" gsp_update_coordinates - Update the coordinate of a graph\n",
" gsp_components - Cuts non connected graph into several connected ones\n",
" gsp_subgraph - Create a subgraph\n",
" \n",
" \n",
" For help, bug reports, suggestions etc. please send email to\n",
" gspbox 'dash' support 'at' groupes 'dot' epfl 'dot' ch\n",
" \n",
" \n",
" Url: http://lts2research.epfl.ch/gsp/doc/graphs/Contents.php\n"
]
}
],
"source": [
"help graphs"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For this demo, we will use the graph [gsp_logo](https://lts2.epfl.ch/gsp/doc/graphs/gsp_logo.php). You can load it using:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"G = \n",
"\n",
" W: [1130x1130 double]\n",
" coords: [1130x2 double]\n",
" info: [1x1 struct]\n",
" plotting: [1x1 struct]\n",
" limits: [0 640 -400 0]\n",
" A: [1130x1130 logical]\n",
" N: 1130\n",
" type: 'unknown'\n",
" directed: 0\n",
" hypergraph: 0\n",
" lap_type: 'combinatorial'\n",
" L: [1130x1130 double]\n",
" d: [1130x1 double]\n",
" Ne: 3131\n"
]
}
],
"source": [
"G = gsp_logo"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here observe the attribute of the structure G.\n",
"\n",
"* G.W: Weight matrix\n",
"* G.A: Adacency matrix\n",
"* G.N: Number of nodes\n",
"* G.type: Type of graph\n",
"* G.directed: 1 if the graph is directed, 0 if not\n",
"* G.lap_type: Laplacian type\n",
"* G.d: Degree vector\n",
"* G.Ne: Number of edges\n",
"* G.coords: Coordinates of the vertices\n",
"* G.plotting: Plotting parameters\n",
"\n",
"In the folder 'plotting', the GSPBox contains some plotting routine. For instance, we can plot a graph using:\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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pXvrsGRwdzd4/TyqBLC8ojSA5oDK9QJlfhOETyVqVCmN5ch0XTvxkfle4cRdWj63Mfs1c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\nB9LD6vXxqy8zvTNnNHJcd0o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pT0Xkvf3Zz1LXdbnZmqnQSLaR40RVqLtaAYxA0kHvqspT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\nHBwcHBxqgf8PUmjDTylCVUMAAAAASUVORK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gsp_plot_graph(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Wonderful! Isn't it? Now, let us start to analyse this graph. To compute graph Fourier transform or exact graph filtering, you need to precompute the Fourier basis of the graph. This operation could be relatively long since it involves a full diagonalization of the Laplacian. Don't worry, you do not need to perform this operation to filter signals on graph. The fourier basis is computed by:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"G = \n",
"\n",
" W: [1130x1130 double]\n",
" coords: [1130x2 double]\n",
" info: [1x1 struct]\n",
" plotting: [1x1 struct]\n",
" limits: [0 640 -400 0]\n",
" A: [1130x1130 logical]\n",
" N: 1130\n",
" type: 'unknown'\n",
" directed: 0\n",
" hypergraph: 0\n",
" lap_type: 'combinatorial'\n",
" L: [1130x1130 double]\n",
" d: [1130x1 double]\n",
" Ne: 3131\n",
" U: [1130x1130 double]\n",
" e: [1130x1 double]\n",
" lmax: 13.7834\n",
" mu: 0.8837\n"
]
}
],
"source": [
"G = gsp_compute_fourier_basis(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The function [gsp_compute_fourier_basis](https://lts2.epfl.ch/gsp/doc/utils/gsp_compute_fourier_basis.php) add two new fields to the structure G:\n",
"\n",
"* G.U: The eigenvectors of the Fourier basis\n",
"* G.e: The eigenvalues\n",
"\n",
"The fourier eigenvectors does look like a sinusoide on the graph. Let's plot the second and the third ones. (The first one is constant!):"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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JkrQGj3A47Ha7dScLxjcq+P1+JjHQ1YiNdPV4QzPOHD/m+JEI4fAyIPubp+nV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CCNN//0T//EfvzjH//ICtIdd9xhaK9pmmHP3r17H3rooZdffvnIkSOXXHLJTTfd9OUvf5ltkMlk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yyF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\nRK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"subplot(211)\n",
"gsp_plot_signal(G,G.U(:,2));\n",
"title('Second eigenvector')\n",
"subplot(212)\n",
"gsp_plot_signal(G,G.U(:,3));\n",
"title('Third eigenvector')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we are going to show a basic filtering operation. Filters are usually defined in the spectral domain. To define the following filter\n",
"\n",
"\\begin{equation*}\n",
"h(x) =\\frac{1}{1+\\tau x},\n",
"\\end{equation*}\n",
"\n",
"just write in Matlab:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"tau = 1;\n",
"h = @(x) 1./(1+tau*x);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hint: You can define filterbank using cell array!\n",
"\n",
"Let's display this filter:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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pkviTSdpeFWQSgIhDIEUYPzMpdVkF5eAAIguBFHlyp6b6c6OIcnAAkYVAikhZ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\nHUilqH2QAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gsp_plot_filter(G,h)\n",
"title('Filter h')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The filter $h$ is plotted along all the spectrum of the graph. The black cross are the eigenvalues of the Laplacian. They are the points where the continuous filter will be evaluated to create a discrete filter.\n",
"\n",
"To apply the filter to a given signal, you only need to run a single function:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%% Create a signal\n",
"\n",
"f = zeros(G.N,1);\n",
"f(G.info.idx_g) = -1;\n",
"f(G.info.idx_s) = 1;\n",
"f(G.info.idx_p) = -0.5;\n",
"f = f + 0.3*randn(G.N,1);\n",
"\n",
"\n",
"f2 = gsp_filter(G,h,f);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"gsp_filter is actually a shortcut to [gsp_filter_analysis](https://lts2.epfl.ch/gsp/doc/filters/gsp_filter_analysis.php). gsp_filter_analysis performs the analysis operator associated to a filterbank. See the [gsp_demo_wavelet](https://lts2.epfl.ch/gsp/doc/demos/gsp_demo_wavelet.php) for more information.\n",
"\n",
"Finnaly, we display the result of this low pass filtering on the graph"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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EyJnggAKwT+EiC2dLQKOHKbvD/5dnx1/N319hkgGXy1VRUZFMJmOxmNvtlmU5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LDG7k6GNYBKD6NazuMxpVEZZLW+02gVPAmb4FvQh+0FMpBNcSjdnF7SPNUXRmylEimRGnq3qZpp\n+5Teq4Tdat+YgmkcY57rRCKRodHoO4353VVNY/TjZQt8l/imemtDk95JZucsjjtsyWTaMZaxAwsc\n0aTNMZo8P7m6JafLjBkzvvWtb53vUpxnpCAVx38nO1YQEFl84pPGU4EkQ+PuNnS7nG59moaqEwl/\nfTDwcx/CGFiu54quBfT0snHQmOOJO33xeNB5JOgEcEK5vq3SIK3viYGxgN3alLE2ZWZek84JkujT\n7JStSI3124G2y/uUiyZCBIlljNhMpUMjPQKw3jMRjNUcu9rn84XTat/Xsd2Svuiq7IkXLeP7LMDs\n+5Pp/bbYzilzVEfK1FwxCkN3T24qoUZ5iRh8Pp/L5erq6iLr91ZtUWbGIDewzfTn1MjaiL1Rz5yk\nt0Z6T2B4N2SoXEMaDmwl+XDAfqO/XoGegKMOa4WeXNupN2Nhq94C/bAd2rC8AGD18c7YSiMfo7i8\nMBBtIpFQn92ovt2NmEeJRCSeIuZXkbRCvA6FQiJ+4B+8C2FhYWMOHP99MDjgmzrJo3jUM5l39zP/\n7eFaY/9y0umY44g3VKRkALVJyHxIJYxsnqkRSy+GpciGETO7O+ptOBpWT0TEIDfP4oSphzX6rObK\nEJ9ky++9MbfCkJ6LQcwbhHd4HLsz5fTEU5o9p0YiYMFBiqS0SBlp1ji+1WZtylgqdX9S/fd2dJ8j\nk7H664MtjRPjctGlBj2+LpvKKByCDIF9tDfRosfrQ3doVhSlaxOsIB218Y2JN09vt5XdkbIuzuSl\neDdIzKjqc7V6y7sn1OgQbIdDuAm5rgtFlImlFIolYsgt0dWsC40vVUY2u1xuxRrjQDCjT8msVeQy\nAVpzQhLdQ3QHNeuo8bMnwJ5OAA9UBwI04GyECn1pJ6VPfD2T1cJo1VWwC1bm2nIn/khEhYSwdopr\nvV5vXtwjb2KLd1E3i/S/l+ia5AQnkapJPiOJRCIvctIJV1XRxhxx2EKhfvRMV1MRm60ciTpto5NS\nmB9JOg+6p/iQJB8cNm/e/NJLLwEvvPAC8NOf/vSZZ54B/uzP/uzyyy8/z4U7p0hBmpIWK4G0bnsx\ntoLEYQ/E2TLk9V+2Q3im5W2V9Xq9LpdLJKowx8Vpbg5VVSV6DjaEjrpiqgJwEJbAUC4kdpkzBaQ0\nfTwr/n9wivKlc59eNmoBctMjcoLUfEVIqXYsm9WnzolEIpOmIP/0f/u65rbxsj5L84Cd9p20jiuG\nR7bRS74ylqBWYTusmRSCemyTfd5dI1MJEhCav9Kr6HXfBL+eMNy1/eDhvmtb+/64rbDpcveGckt0\nqqr29SUiUb+v0ae4bRy4JKv3/xO2LStAMkp0B44mavxE9+TUyCkqV42zUVf3PDTyHRBEq1bDUniB\nDOz2+zVXM/puIePCcDisqqoxoXSNhbyR7lxQCfRIrCvgIETBieuP71RiEw1rzvcqZoQ1yvEXGLSS\ncZC0kgHiODNYF0ZyEYPQU3DlVUKsIWWaVi2ojs73HEpjy2IBGir7D0XnjyWri7iHXMh8APMh7d69\n+8knnzT+3Llzp3jh8/mkIF0o+ITnbgYcuhoFIZg7G8L9tYNr0wtovWxSfjaRJ8ls+Jq8fzbi9Sb7\nNEfPaEPoOlfsDwrowuBEdEPjcf1DEf/PS2lhoM+IZjRlgHEhSKOQwV8fbJ4fMr+v0e/HxpUtES97\nAXJ+B2KXi5Nuq7chG26pyTkKimnfmMPNPC/3wBPwNgB/BftgK+/sdprTXef5yyVmVYUXqG5C7AMN\n7pzYkMSdePd0h19viFyaS/BjNoUlk0nx1mKqZCx3qaqvb9b9yxr+OS1+jEZYPAtA8iCAYzlAVI91\nIITGLiYeU1mtopMFSbRqP3yYwVdX931p2bsmb3jzfCgSiYh0eYlEQlGUi5/t0baRGgfwzMGuR2Jl\nCeyGL2xw37jWqycxyivCwMBAOBx2qx6nO+409ZQOknGc7nDuGyDeKy9durGTzG5JOWvio5Sb9cxZ\nEy8bcuj7oiUfVB566KGHHnrofJfi/UAK0pR4LGyYz912vZG0CTUyaN8EH0249FGPUKNgMGgMfltb\nW819kAjMnEh0e5Vk31xHz+wGDhC6xBV7UcHD2CG7oyZZ5kkl9zgAUuCAWtPOVjOGbDVljm0szxyw\nNjtC2Fg5b0Dk3Cvs+LYkvN0x78SCf40+Xkvmogm84vZ+t80dDoe7u7uFhsU8Dfw7/ACHJ3mp/4Dj\n4iQH2JtqStY7socsZkEqfLsQK92EiEPNZKtjFDw0vNMTuVQVIUrNi3CiexWRLzDpXFdXVyKx7Ei9\n/yoCQCaGTXi6Z8BG+giArQYg+U7uUUKDrOWTmiufvF2/4rLVBFP+yNLVRR0ujPqKwNvBYNC2cePo\ntt6KuThtAHveoWYWnj05j8TEn30pUruyz+S+ISy9hsO3EN1Y4g9O99y8d3ESt5uKKAYKhiYZauRy\nuez2lB1LoZ5VVIxIQZqEzIdUwkhBmg6/A5q4W/SWmumEnlECeHrQ7a8PoZv4zW5jorc1Rx4T/myI\nBXASanUEiJxQnw65GcZakRmk3O7ROyDx/9opCmcFuPmuwcS+ZOaA9aal4bXXuyeibhcQGnN1v+5l\n2BT/e4icTxo5T/G0x21WU6Dq+QQ/YHn7nvr/ceDAU/XvvFED3PTZrQf21S96Znz61oscUwFGJzed\n7nTnUkLKjFgiQb7Pt56Q1/ynUanaT/xd/IQ68+GHLUO6R3gGwLGA4QMk91K5hprlHNgK5KQwFcNR\np6t7IXl2PCuJObcFI55IQoUp1UgQCoV8Pt/+rq6m33V7LpmIC15TiRYlnsJ5AKwEq4jodTQW5wAh\nZkZrD7uLW3PebphVFTlu/Ck0Sai1EWWjr6+vvGGWk3Qqbo/uqRmL24GLfZrTGbfbKoo+ViIpQaQg\nnQR/LW9maR82DalERgl9c1KvQyXMw590DAz0mZP4ic4iGAwanWlLSwt6uodJKYiGQ35Cao0a2hN6\nedS9x9eUumXoSNCZiVsZAieshl2TbHfNS0Pui133365EXv1tIpHADVlU1SfWtELFTEM9kQZLeXbm\n6rSlOguMPWnPHrCQntjqxB7GQqGQMxcASVQh9qxS44uygM03f9J41IGn6pd/ds+Hrn5t+mFm4nhV\nMOr3jm1R0MVjBZnFpPZjX4JSE1vL1/pirX2JtrwGaW1tLayFmH0CfatXD8Zil/T02OwsuiikHIsx\nimM+QHIPQI0e7kCULiUsolNlkDEJUmLebcqH7lecPuVIMJI4ieckuiCtOazZy03PT4MdTw3RKCQJ\n3uyP1OTSfIjg6OYn+Hw+w7XhmDIDSGMbpjKNDaghaiM96sj3BTcHclVVNRwOAzbSWrD+nT01C5qi\nczxxYG+gaUFTdKlPOjVM5gOYD+nCQQrSyVlXQ/sweGCPvmcoqm8kAqAXdeVPaJ0XaZsXEf2m6CNy\n+UMBXaXynmzuiMWCxBWh8JzEscqGhTOvqY7shCyMQiM4UAYdiWQSWNkwoC6MqKqqjCshk+ok9Kxx\nRiJRo0MPHXb9bqTeqmZODFqsK9OW+VnbqvTRXY5MjekLsIrYfodr3OX1eicG4Aehkr2PN03Y96KQ\nZu+/NF3xlfDiKRe4coRGmt2HBxR6AWqJaxDF6Z+4wOvqxobL+yPD+0NV1WQymTfRTCQSDocDCIVC\n4XD4XVUVSzuuWKjh7R4AK6lbsb0UGXxIq1nHqq+yp5NklH7wjDL0Es4GrELdTTUOeZqx57Rk4NhK\n96K1XqcX08as6WsH9P2fh73RAKsB06AhBVacFYQWN3P9OiUSySUpDwbD4XDeFleRFGrHjh2V4fQL\nqidqipg0TGUN0Y8pMxzKgamMh8YEK6k5sHHtFydsozVNUS3oSWoOmZ9P8kFBCtLJ8djYUEfHKBpQ\nDclJamSkTep+03vfGlVVi6cYEIHLBGJrKuDz+bq6chkcjJnTxZHDK7ArSlpMViC30TUvtlvh5qeE\nKY0puixt2bLlxy+4u8e8zCcdt7GH9LO2sjtT1lsyk9RIPHOJW6lxu+0AW7ZsSSQSDQ3hV466WWIK\nVyEMX8MMPn+l7y/qp8p9jj7Ncs1N82gvkIqTepua7+mn9birXroTRyd8QPLcz0QVRCwJsV/H/BaR\nKnXCnXoJDdclwps3h5+jcg3zyxnZyoiiHFaU4XDYbschchrphruBOSsj5apZUs3jBZ/PJ/wkzW8n\nYhgadlHvkS3eF7snck19Cvbpq2Vp7DYGLlnpVhSfzyeyjBsZjPr6+sSnI4Tf7XavXbv2p6GXf0q+\neS1KzXjilKY4sxPHPbdpqag9urVmLGoHLvZrHp/m3JMfH+9C5/zOkORy3rRIQTol/JV4rqDzHoJh\nNPNX2YiUWgFL+NMBxT+P9TVoxdTCeC0G+0w234lJlcAsVAZ52S7MglS4SdPgxUVt3YdN8c088CJj\nAft4bYZaGIH9+rh+BVTQmcRnR2ySBaqWJJK/d+TNCAWRgROFapQX5CYcDkcW5CQ6NYjdiNSlgTYh\ncsruP/Ve1tpXNREIXFi3zPp60t3HwICi4PfDROqKODT5fIUbxU6KoigtLS2FEiiEJLgp4N72Y/WN\n3kn3dEMj1MJByBJa0hy5WI309YXDYa/X29bWZg6SJHRXWPDEqtKwWgdxO6kaosKRQcOTwv7r5Ejr\n1L4VBuOLxrXApW8GPMaR6Naai/1a4y3RKWOMSyQlhhSkU8XnwPenBA5w90b9kBEpdQU05cb7gR4C\nHlqPTuzpKcSwBZlFyLBZFd1pi75akBejSGDEdc27JXiA9p+aClkBNlgBUTLbraiTnd/2wwp61HDX\nMxO98MCImyS5DBomkx2gLoyYBdLtdhsRP4VhzQjaFl7h976yJTMQsxt7uTST2dMKDryvdytjsb55\nbY66pcKLTJgcp9ehaZRY5AcxAsUWkrdwRYGjoNvtztMkkRuXQIcv0F7kiXbYB244CFYGLs9FYhUx\nmYQ7g8/nM6u4qJ1Qple9F3uUNz0mD5AaohqeuKPCCC80jddfSrO/GfBQbVoUfJI3A55Uk4acI5k5\nvzMk6WIyLVKQTg9fDThgGNC/2bUmt2Z922x3jbfh2rA6O+fjkEvvrceOM+tQ4UKFeeVJYCwITV82\n811alo5BAi/DKtgEh3J6wwqwQyO8AMOUV44uumawvHIUGNjaOLqrXB2LJMYmnhMbU7DBEqg0ZW4N\nwH5iCQWTO1w4HC5qvlNVVfF6+dgn7I/+U2pv0LEG4iazp9iX6oB6VEevSm/C+qVIpMFsLpsqOFNe\nSiozYsVOBFbIW8YzmtFoeeGab9jTzJtP3W63satMmRVT53exrwNrELfhMjE55Zotl7M88XePuJc2\nJ3XHbkxTopaWFsMsaTi1h0KheRwc8+Vn9PCg+dw+LzV5GdMLie9xcgvzP3noBsf2+dZDwM99dxx6\nYv47W2ukIEk+KEhBOj08Djas4e4fA3pP5NDdmoP6RiUraDz8Qlvzh0NtV/f5fA0DAwN5eyrFi7z+\nVETnLJQoYbw6qSCJ2AGKonSkaE+BE24E4EbYBJtgF9RCLVRCOQ1r+utWDg7ur4vFq4HrvrhzsKcu\ntksxr6U0VIR7bSprYI3pna6BALFtDlGqPBESdkhjwqQf9mYWLYs3XwKQ0sMZiOgJYgNpGJ6CCAoP\nh1oHEifa0J2kjSzdZoR/2lQzBiH8xlqdcdA8FDDaVmyEMqaeeZtPcy7al27xzu3mOX0s8mXYDVuZ\nWEASWGCEvrX3Jy5e6lVV4ZAdKpAlEctONJ2+NS0Rdx8qmhpyf2h7OjhFykgTKaf9v/k33encaCNt\nIQt81PHsRv+d72y646T3Xlic3xmS8wyDNVwgSEE6bfxL4E46tqKl9TxumLbNmkLR9Parvf1qejZX\nLRxAN6mZ+8TC6JxF31G4F59UkCKRyOb/6Nsx6gscBFju3/O6sz6ZdQDcAftgH+yHWrBQvWQIJ888\nvtpYRhqkruGL/RfVpYxe0eVyDb2lUA+rYM/koDh+1JmTTHZG4OrC2DYCq8fj/PsN8U0djkbNKnbm\n2qEGmuBf4EcAlMMivG91Kytjrgd+pFy6zNj7WUihuhiIEHnGWp3AvCHMrBB5BY5EIl1dXUb8U1VV\nX/r1j2d3dr+4A6CxhfIU7IY1UK/np8/o3VyGvubhB4m6AAAgAElEQVTWvkuWCeURDdLS0iLmN8ab\nGk4N4riICn9A2QsHCuuS0ishZN78HDMt1/W2OLviaee/D3/inXQNsK4m4HcG9v35Ulg6VUNJJCWF\nFKQzwX8Nnko6dxF4FlJQrk+SCgOm2Wn/Nauv8SZGktuOur5bSSwSYerFj5N69xqIJRBz3J0tf/B2\nH/Pm3Hg87P3rpuWte7iDvakmgBthn+6/cBB1cbhn1xW56J86A/c1/tHNe4SFR/TpsTEFBTZhxJAW\nYXVoIn2Ty5f1TZ4GnQSH35/yeFK7Oh2OAMNghRp4QVejBj0NB6haLw9ckfiz25SjYZ+VvvG2xIkq\n9FyIYjYzjVu2ed9oIXkO5SJhLnlCFdymbu9SErFRTVv+78HyLOXQP8a2/0NjC42NsNWUwd02IUiu\ntjtdFzmEkVZsGDJy24uPLOeIP9lk19XVdcw7By+jlA9SN0o50Eh/OaNzIifE7cI6aqSCzGPR3Nc3\nRe/4t+FPLaocLHeMAp8+8Pjtlb/4RPU2KUiTKdWESBIpSGeMrx5fPS0eOp5DQ/9658UF8YhQAWx7\nw40Nkmz+BmsXK76K3C59cZVwS5tmAmRshBR2HnGL4TieSCS2vRh6+HWlt2Fy+rj72bun6ab+re/U\nR6OZGuYDubgP/trgW3YnoSJxxP/vr5ua5r6lXpx7xwa30htXyUC97rG6B4JQQ7rWrZ6+D6vd58Pn\nY3cL3747Fz3hWcCUFAqIQyOsQDm2WRmFA6jJ3lC2OXHbl4QgiasKfbLFUpCQUsMKNw2tra3m3Vou\nl0uYTL0vbfG+2i1+HOVxGutzKUjqbPSn6N9BtYdqh2k+IzqZUfjGBvefrhUmTzGVMSY0RVeAzFWw\nhEb6vctCqIbN7Vk+qhL6UPgV9JVF85bYPA6l5u9ixR8v2WYcqasc3BVdcX1qt3Q1lnxQkIJ0VvhX\n4XFzw1P6tllzczqhVg9gKoTKAvPpukLV5tObVQdE6Oujfa0tLVOZYsxjakxGqkQiEStTXrnE2zuI\nllSCv/WyRH/3uD4E1MDH61r9pUsORDM17AOglg1XsXKJ+/M9jlwccTf8KWRG2ThIHJbUbTnqrRpK\nWuszmZQ1pLgohwPwnF4pK1TCPnyes2i4a/x8AZ7oIKrlEksZuRdSepxsYE8uyzsVqEt62ftJyvwN\n/znWcFBz9W0baPIxI2ePF0tKQoREiw0MDDCtG55wXvB6vcpYLPGfjyhjMfaDxeM90OceDk3sqHeb\ntrumaLQzNM7gXqo/kksMD7DUR7mHm9fxYZ/xfMOlWwjJwMDAVLliBQcd1RqeCkYyKWsy6hiPW4nS\nb298dcGh8obR/Rz5Q+SXIww7fMkTWff/3b1keKQSC1VlidgJhTQHI3Muqh97KXOVMZdtcPY31vS/\nOHzVPafxwVwIyIRIpYtsnbPFt5gNq+nIoj05OWCaEzJ6th7ADmvAB/309qu9gFMlTe9WNfQKNDEw\n4s3lME1T9U4iFpvF7qS70hW2XkqFFQfuRa7oH952XVd5WJkdszle3lSb/fcsjPIZOzdbJpbWHaaM\nglGS9Y5LLUmAffjvZd0afNWAujbDtl/AZ+Gz8A/9PNTPtY2sbgRCNeU5J+/58CQ8Oam+uUWyVbTc\ncnYNd6Of+R72d+IN8JQppEpKnypFdTUysvxthUBArYQM7KZt8+bQymbqcMxXan7dm+ryVL709PU3\nYnGS+Pnmy95IXLyHBeXut8Phw1VVypGYw4HVBjaogHrUWC9PwB7UZwMAiyELWq+RmjY3kjAS9zly\nLVw3k8H45KXpP1/PUt9UFRXrakZUp6mUadBdaScV15xHNKfYp9Xg62/09Q9DlpST+DBxJ/Gtu9Y8\nvWsN6KUSn7toovikZCWDyboGZ/9ixygSyQcEKUjnAP8SPBV0ZghuQjOcgO2Q1RvYCo3ggyE9rZwH\nNsFD0ELAB8AVKnE9/ExNhkMp6q1U2nEgQtVZBrPW6sW8tLjslpSlOqv8bSrVwVg7PJXmM3Y+a59Y\nWnfq/VQKqolmavwh1t2Lz+T+66uFW+BTsHOIh/qprWZFI+i5NsRiWH+BGiFyqMNO2MfZ+hMv9bHU\nx74W1t9NDIzo3WKvhvALr9XV6ADsgSXQD1rOeV2t7CVJaicje7H/N674U9gJg2TjVMehiayT2TZ4\nGbudZIjMcXDgXIfVDo/35scgb4QV+qZdTPn6RM5V/bdSbqH6YiZyQX1hwzRqlIfwZUC34Jl9FBNK\nWSpuP6I5xT6tas9Qo68fsJMSMb+dxA8crM+pkVV3pkjpTZQqMugfiDf67P2nWLYLhg9gQqQLBilI\n5wZfLb6vEFxJ51ME96GFIc5EYjSrnplUT33EQXgIPODTE8kFIQgr4KOQslLrAD2laRCCZLGImJvp\nnbayW1L2W1L29YwHyQThRyk+bOUK64TbsBjOO1lgj26y1zQay+86ngr8txAAdg4BLKyeuBF9VjdV\nV5YEO51bJyncmbPUzwb4TkdOB+x63kLR4xvBzkXwhSF4HWZPrDlloqT2Yl2K3QnfzF1r8WHz6VXo\nJ57hoLFCN0zyf+L8EM7CiDz9UJ0LfJ7rr/QsiGQnfLuHMlR74Bo/Sbhx3amrkRkhS8YWq76+PgvZ\nVNwOubeu8ojvCiJqg/j3wMH63P2iVMZOOKaMHjuWbJQpDyQfFKQgnUt8q/CtIvgCnU+BnYBISSfC\n9gjvO2E+ccJWAC7W/9QgqA91jQAQQqi0InmYxp60Wxsz1sbMzHVkxNktaZpMn6Y194Sv2+sbp1rU\ndkAa3hoFqNBNZjbT7UNT1DMDoBUEEzpz/H48HrZ3Eg2S0XJ2J3OWd/QcTkMwA9CDEUAmCmAt05sU\nXebJzUdTQ8QH8t8w/nvsC7AX9tSDUA01uiAZ812TINW1Uv7FDTT5z6iq+RjKlEpE/t/bVsi9Ubkz\nZ2oTowzx7+ERfYxjMRVPNNEUW5W0k29hutCQCZFKF+mDeO7xfZgN32TD19jw53hEsJyMbgUS3agd\n3gKMnKb62Vr9YkxnteLvcnynDbB49L/D2UldUgoa2VDPJ+1Tuli1CNW5rhrgbV18kvrtmNze8rAD\n52h6ZODz8c0NfGEDq/2s8bPPk1tVMhZFhFIe07+zuoBmjwJYzGHHPfqLITDSTxSQPFrsqFABo9Mw\nJD6ut8lX/OXf/X/nSo3M/LEyT+SwF597TMtJbgq78e+ltbpjX8ZUvIOTyzwZn+wAJR8c5AzpPSS3\nXWk3wTfQNEAXpDhcBxvhTWgyGYjEUNe8CsWUI7nskAXIGKEevFazIPk/zLrqk3RGPvHhr6oGOHja\ngtTyXgSkEatKwAtBXuzEDz3BnCaLCVOVvrY0lFtzsi4gfQCGJ7uTCEYBMseKv1Wm6NTB+IAExu/j\nZj9JuHMdq3ynW6dTpBbrPzsda8mVf6iYINWfviC1SEHKRyZEKl3kDOm9xVfPhjvZcAf+WjxBSMNV\n5NLioc9+4vqgXvQs5lE5TJXMZkZjBhgP6n8vmRCkDY1sqD350NhjYUM5Hk85j16FE555kZFR0jAI\no+RyA947YRzLUQ12NvztuZ4h5fFhH/dtwL+Bv9yAxU+5J5d9o1rvT3QBtdYAZMZM92qmooK9iqLY\ny4odNQtSuf5Z/O0G/nEDj21479RIcIfdvqERjxMaGU2Vv/TkVaPx8gzWIapT2IeorqgYWbt6Y2XF\ncC5RlihkErbBKFTnjzA3nGxQIpGUFHKG9H4gdtEGNTo1aIJySBP8Idrfw6+gRc91dDqCZG3MHLs7\nt4DkX1/O6txt62rwnXK2Ab8Nj4VOfx315XQN4h5iSR2AAyrBDp+EpbBTv8EBdtateY/VyEyTjyYf\nQ0EGO7kTng2yXOMNSMKL0IjFQfl1pH9vukXTXwhBqs5/pMDugzcm5eHlKqgG1Z8Liy5adM06mnzn\ntk7T4K/BY6dTLB9G66q08rqmQcBOykHSTuqKJclVFQee338NgFUPEpHWPUGsE+5/6xxSjYpyfmdI\nck1vOi46ceLE+S7DBUowQ+d26IKLc9krgkG0Sj0gtwgjXQMe6IfgpF/Qp+/NcCA9vgNg3Tqbz3fB\nDCz2BdneyRCEwQbVOcNdJgpRrHuCHNQAmnT3xUHoJ9lPfICMaUNO9f/0O66Bg7BfP1QH1XDNOup9\n72uNJO8vwWD0M59pCYX+7ry8u8fjsNkeFLu2JYVcMB1Z6eGz4ltNLvs1AMEVdG4FC9Trw14gA6ug\nVt8lCutW4Wu0ssqK/30v9HnHWGSaTO57vCvIE50Th+qhHq7AMYh1iORbuTOOdevsviIPkVwYnN8Z\nUvbkl1zASEEqIXxNU5vCquHD72thPpCs8LHCV/SMXfrbSiQljxQkiURyAeHxVACq+sPzXRBJEeQa\nkkQikUhKAun2LZFIJJKSQAqSRCKRSEoCKUgSiUQiKQmkIEkkEomkJJCCJJFIJJKSQAqSRCKRSEoC\nKUgSiUQiKQmkIEkkEomkJJCCJJFIJJKSQAqSRCKRSEoCKUgSiUQiKQmkIEkkEomkJJCCJJFIJJKS\nQAqSRCKRSEoCKUgSiUQiKQmkIEkkEomkJJCCJJFIJJKSQAqSRCKRSEoCKUgSiUQiKQmkIEkkEomk\nJJCCJJFIJJKSQAqSRCKRSEoCKUgSiUQiKQmkIEkkEomkJJCCJJFIJJKSQAqSRCKRSEoCKUgSiUQi\nKQmkIEkkEomkJJCCJJFIJJKSQAqSRCKRSEoCKUgSiUQiKQmkIEkkEomkJJCCJJFIJJKSQAqSRCKR\nSEoCKUgSiUQiKQmkIEkkEomkJJCCJJFIJJKSQAqSRCKRSEoCKUgSiUQiKQmkIEkkEomkJJCCJJFI\nJJKSwHq+CyA5VTKZDGC1Fv/Istnshg0bxGuLxXL33Xe/fyU7Hc5hOX/729/29/eL142Njdddd905\nKN+5pqQ+lw9Ei0kuZC46ceLE+S6DZEpSqdRjjz22efPmvr6+sbExYMaMGVVVVc3Nzaqq3nrrrc3N\nzeLKdDpdVlYmXpeVlaVSqfNW6Gk5h+W8//77H330UfH6c5/73D//8z+fg/Kda0rqc/lAtJjkQkbO\nkEqXd99994/+6I9eeeUV88Hx8fFDhw796le/Avbv39/d3X2eSieRSCTnGClIpcunP/3pPDWaBovF\n8rGPfUy8nsqsJ3n/kZ+LRHLqyF9IiRKJRLZs2SJez549+5/+6Z9uvfXWOXPmpNPp5557bv/+/Zs3\nbzZfb7Va5WypBJGfi0Ry6khBKlGef/554/Xtt99+3333idc2m+3mm2+++eabv/zlL8diMeOaTCbz\nF3/xF+L1zJkzH3vsMfPTRkZGfvCDH2zfvl3TtCuvvHLNmjX33XdfV1fX9u3bxQU33njj2rVriz7n\nwIED3//+95977rnDhw9fe+2199xzz80335xX2qeeemrnzp1vvfXW4cOH9+7dm8lkFi9efPHFF69a\ntcrv91dUVJxla4yMjHzve9/bvn17f3//1Vdf3dra+tnPfvakd7388suBQODAgQPPP/+83W6/8sor\nV61ade+995rLc2b1FTz//PP/+q//Kp5fXl6+fPnyZcuW3X333YsXL57m+capbDbb2dn57LPPapoW\nCoWsVqvX6507d+6VV1553XXXXXvttWdQnbNsMYnkPHNCUpKIVSLBihUrxsfHp79euDwIysrKzKc0\nTfN4PHmf+0033XTPPfcYf37uc58r+pxf/epXs2bNyrv3kUceyXt3RVGm+oLNnTv3mWeeOZVyTkXR\n8n/0ox8tWn7jXcxnzVRXVz/99NNTlecU63vs2LE777yz6PNnzJjxzW9+86T1PXLkiNfrnarRPvax\nj51Zdc64xSSSUkAKUony6quvmnsTj8fz+c9//he/+MXAwEDR66fq+MbHx5cvX160LzO8v5hCkGbM\nmDFz5syiNx46dMj87kKQysrKGhoabrrppmXLls2YMcO4fu7cuUeOHJm+nFMxPj6+bNmyUy+/4NZb\nbzXX4sorr2xoaDDfuHv37rOpb1tbW9EiGbS3t09f369//evG8ZkzZ65ater66683dD1PkE69Omfc\nYhJJKSAFqXS5/vrri3Yrc+fO9fv9L730kvniqTq+xx9/3Hzvo48+OjY2Fg6H8wb4RQUJmDVr1iOP\nPPLqq68GAgHz1GHjxo3md3/ggQd27dplPjI8POzz+Yzrf/SjH01fzqnYuHGjuS/+4Q9/OH35T0ye\nXNbW1r722mviuHnV7corrzzj+pqfM2PGjJ/85Cfj4+PHjh376le/aj4u3neq+hqeDpdffnkikTCO\nR6PRxx9//Fvf+taZVefMWkwiKRGkIJUu4XB4qsmN4G/+5m+Mi6fq+MyDa3MfND4+bl7qmEqQfvCD\nHxi33HXXXcbxz3/+8yct/6ZNm4zr77rrrunLORW33XbbVOU3W6XMp8xV/tnPfmZ+2o033mic2rt3\n75nV1/x880dwYvIY4hvf+MY09f2TP/kTcdDj8Uw16z2D6pxZi0kkJYJ0aihdXC7Xiy++uGHDhp/9\n7Ge/+c1vxsfH8y74zne+c/XVV99+++3TPMRwWwDMi/MWi2XVqlVvvPHG9GXw+/3Ga7M6Hjt2zHxZ\nLBZ77LHHtm3b1tfXl3dKkEgkpn+jqejt7TVer1692nhtsViuv/56TdMKb3n22WeN111dXWYntwMH\nDhivX3nllSuuuCLv3lOpr/n55lkgcOuttz733HPG84vWSFBfXy9eaJrW0NCgKMqVV15ZV1fn8/lu\nvvlml8t1xtU5gxaTSEoEKUgljcVi+fSnP/3pT386k8n85je/eemllzZv3tzT02Nc8POf/3x6QTKH\nBrDZbOZT03giCMrKysweXHPmzCl62RtvvPGRj3wkHA5P/7Qzw+xJWF5ebj41VfnN4vcf//EfUz25\nMGjCKdbX/Py8MpiFZPqgDA8++OAvf/nLgwcPGs8USvazn/1sxowZHR0dDz744JlV5wxaTCIpEaQg\nfTCwWq033HDDDTfc8Nd//dd/+7d/+9BDD4nj5uFwUWw2m2E1SqfT5lN51qoz5itf+YqhRg0NDX/5\nl39ZW1trsVh27dpllPOMsVqtRjmz2az51FTlLysrM07deOONFkvxCMILFy48syLNnDnz+PHjRctg\nbuHpt8EuWLDg97///SOPPLJt27bf/e535ueMj49//etfv/HGG0VcqNOtzhm0mERSIkhBKlHefPPN\nY8eONTY2Fp5atWqV0dFPNYo3X/yf//mf4vXzzz9vttqdVMxOEbMR6de//rWxNHXo0KGzf/jy5cuN\nGWGegXEqe2NjY+PevXvF629/+9uFG3rOksbGRsMc9+abb5pPGfY6TuGjqaioePDBB8VMKJlMPvfc\ncz/+8Y8NF4Zf/vKXQpBOtzpn0GISSYkg00+UKK+99trll1++Zs2af/3Xfz18+LBx/N133zXHxFy6\ndOn0zzGvIjz88MNiQSKbzX75y1/+/e9/f06KKsKQCwzH4nQ6nbc598wwL9J85zvfMZrit7/9rXl5\nzMzHP/5x43XRKdq+ffvuv//+My6SWdQffvjhZDIpXr/55ps///nPjVPTm1J7e3uNGwGHw3HzzTcb\n258Bo6anW50zaDGJpFQ4314VkuI888wz5o9JUZSVK1fW1dWZ9/cAv/zlL8X1U3lzHT16tK6uznzL\nrFmzzPtRBFNtjDUX6Sc/+Ylx6t577zWOmxf/r7zyyk2bNv30pz+98sorzc+/9dZbT/r8ogwODppL\n63a777rrrttvvz1vw5DZZ2xoaGj+/PnGqWuuuebRRx/dvHnzxo0bH3jgAVHa6urqM67voUOH5s6d\na5yqq6u79957/X6/+eDy5cunf/5dd901c+bMtra2b3zjGxs3bty8efOjjz5q3l30wx/+8Ayqc2Yt\nJpGUCFKQSpQ8QSrKbbfdZlw/Tcf6wgsvmPtKwbJly+64447C7ukMOuhf/OIXRYtnniKcsSCdOHHi\nkUceKXz4rFmzrrnmmqm61507dxZW2czZCNKJEye2b98+jYNAbW3t4ODg9M83+5QX4vF4zJuTTr06\nZ9xiEkkpIE12Jcr111+/cePGO+64wzw6Nrjsssu+973vPfHEE6fyKK/Xu3fv3nvuuWfu3LkzZsy4\n7LLLvvrVr/b09DgcDuOaBQsWnHFRb7/99h/96EfmDnr+/Pm/+MUvpgquc7rcf//9gUCgurraONLQ\n0PD0009fffXVU91y3XXXvfLKK/fdd19h5IVZs2bddtttZ5kK6IYbbtizZ8+dd96Z93xFUf7qr/7q\n5ZdfXrRo0fRPuO6665YvX5433wVmzpx577337t692/zpnG51zqDFJJJSQCbo+wCQSqV27tyZSqWy\n2azNZvN6vfPmzTv7xzY1NRmr5Zs3b/7EJz5xNk/LZrPbt28fHR0V+QOncgY7m+fv2LEjkUgsXLhw\nmihwhXft27dvcHBQNN3y5cvNntnnpFS//e1vjxw5AtTW1l5xxRWnVfFsNtvf369pWiaTsVgsVVVV\n11577TRPOK3qnFmLSSTnESlI//XZtm3b/v3777nnHmOTTSaT+drXvvad73xH/DlnzpxDhw7l7VKS\nSCSS9xnp9v1fn3feeeeBBx748pe/fPXVV7tcrnQ6HQwGjx49alzwj//4j1KNJBLJeUcK0oXC+Pj4\nrl278g6K1H9mb2OJRCI5X0iT3X993n777ccff/yll1763e9+J3alzJ49+yMf+ci1117r9/vPxp1B\nIpFIziFSkCQSiURSEki3b4lEIpGUBFKQJBKJRFISSEGSSCQSSUkgvewkEskFRFzTtGDwPBagyZQE\nUpKHdGooIbRBOjeiaVnSaSzgsGG1kMEzF03Lgsi1YxPz2vXrMSWkvqDJaFqyszOj50JNwZDHE9e0\nJIg45FZw6IOvpvXrHbLhLmC0YPCmz3zm/JZhYGDg/BagZJEzpPOGpmU6O5OalsvdoA0S/F05FjuZ\nDBYLdhtpOAEzgCxHM2TEhzUCWbAFApa8kdb69XaP57+sDTaraenOzrRJZgR2TbMFg1awwChkYBTs\nYIF9YAMnVEAWLJCF7kBANTVcucczqmlA4/r15VKoLhjuDIXOy/s6PZ7Hpt2EvnPnztdff/2VV17p\n7+8/cuTId7/73XOe0KuUkYL0vmKIkKZlgsEMJEHk9BRdaJIyJ3YnKYjBHHBCHI5YwAZxiIMd7KJP\nDgTMz7YEAmm/3w5ZjyetaVn+S0hUWtOGOztTwWAmGKzQJ4kjkzWpBpyQAifYAdgFL+rH7frBFKTA\nDoN6w9mgEoBhGAwEFvv98z2etKYBNevX286fPmlpOofRsqaZnUEWTwbNXH+LMW3GY0FLQxJGYRiM\nJ2TwZNCAerBCFDKmUym0NNgga7o3DeCZj2Y8X3zvRBYnvWDrPXjs732LnDtEc54keeJ7xklzyH/h\nC184evTojBkzLrrookwmY2Smv0CQgvQ+oWmpjo6DgUAcAKep5dP6v3awMxYHO2N27Hove0RcloI4\nWPXeNY9crxsIpGAU0kLnAgF7e3v5+vUfqA4DgJSmRTs7R4LBZDBo131vkuAEJzh0cRZEAXDoTXMQ\ndpFrP6O9MpD3y66BGoiabh8OBIwct6FAoLG9vXb9+vewklPQEaU9qlfVsNQKUgXVmBifAHq7iFo5\n9a+QONgETaCBVnBKPCRsuldQM/ldxMXiXv1bFngDvzs3rFrfiKf8PWqVC4UHH3ywtrb2wx/+8Pr1\n6//t3/7tfBfn/UYK0nuLmBIFg8lgUPSf4md9UP9Zi75EdCcpsIKVsSTYKdOP5RCvin5e5l43rl+Z\nm361tzs0zQ6sX1/j8XwwAta90dERam8XM0cnJMGm19DoPJ2TO2ehVYKDgH690V7mGQXggBpImvpe\nI3truYW6mZRbyf6gnYQG8MX11HrOVe2mJ5ikParXMI9CUc0bnwiBEbUyniAO1kATxEErOCUeYr5X\n4NAFyXxBXtNbwEbgIIyAjcAg/rpSlyXxlShs3fcHx8kuuO22296PcpQqUpDOPZpGZyeahqZlgsEU\nJHX7iMAxeVxqM/WW6ZwNBf2TGTeeKq4pan8zPkSjnzCeXwEVgYAFkoGA5vdXrl/v9HhK9EMXs6Lh\nYHAoGEzrpsxDet+R0euZ1Dthh6l/zpiaZgTQLzYOZie/l0N/VB6NZTSKj8UBDggGxLoTn/IDfHY9\nbs/Z1PGk7BBlKjqnzRQcyfskRXPkPUEcFNISL3bKWnCvwPjCmi+wm3RRNFRUt5ZmIUWgn4CGfwXY\nANY7KdWvm6QUkV+Wc0xHB+3tKf1nCnigdrKFCX2QmdSXjgyyABY7WRgDB5QZfYRdF7bCWY7xBGHc\nMca9HqjR39oC5YGANRBI+f2OEvTQ0zo6tPZ28doGtsnqWmNSFKNbNn937aamqYX9kAKH6aB1sulL\nHDQfAaqtNNrBqq8+AcICCmwKADwZ4C/b+ex7aMfT0npxC8kWHMkbn4imyXuCOCjUJVXslKXgXoHx\nRTNfYDW9EF9J8fGkJr7vlvpsV3naYs0CP43av+GwrD9f85FinN8ZUglPHUuCD/aKd6kRDGbb2+MQ\nhiwMQxR26Tb7vEGvQ/9lm8e9VoAyO5gGoTnsBRcbGAdFjyXudOr9hL5qZa1ljpN5jsAzXHI9d38D\nLXyG1TznJIPBeHt7NVSbeku76XVy8nGB2XxlXkapNZ0tql6YFubNVM/QjxqTsjiMQEqfgmXgX9p5\nIXhatTstWszKkUehSuV9HYyZo/kJ4qAwxDmLncoU3CswZkvmC1L6t8w8Xc1MfOnKmlJK7YjdmbJa\nM9khizWZaT9AsHAqKpEUQwrSOaOjI37DDS9DPxyCcliiG0o0iBf0ftZiGmNlVjU2O7MgCzEAqsSP\n3wrVum9z3lDZeIL5gSIXny5rc5wshBpwQzVUEniKS26m41/ORc3PjnhHx9ANNzh1I1mtafRqjNHN\nFrlCQarTneVE01TAaiiHIUjrBy1QbnpIUf3ti74AACAASURBVEEqF6eNQWzKNCyo0J3QRuHOG3is\n42yrPQW+0hckszHUZGMGrDUZuzMFpDR7YlfFmGZPazb2ccPPuPtJNLON4PxhzJDOy3+fl4nHpkWa\n7M4NHR0H2tsP6u0pfJU84IGkvlLsmXyH8EAeNX7Nfv98ZlYmjh0PR0IAmZznnVLjYIxERHQPKUXB\n7a4D28DAxEaKUGhhLFal9xl23Q+A3MPt9kkOZ0zsFG1/Aqysv/fcN8ipkNG0eEdHcrL3OqZV80IR\nqtZf9zc3ixapgJlut01RouHwcCJhBZtur9wPcX1nktEchlkzBItCobpYLKofHBqnjgL/R2NJP6V7\niozDV9sZhS+fe9udx8aGOr78WiI2pExyxkQX1ZRpQJI17bpCH7TEoQ6iMKQ7GoqDO6EJGkErOCUe\nYr43DWkYhBqwTb4grq972oRv4oSEz3BmgEzcOqbZQffoAyAQJbCHdh/rfee8zT5IdKbT66QmTY0U\npLNF09IdHdFAwOzn5dD9mZxQCclCd93Vq7OJxJBx8LbbZt5336WKYg+FBoN6XBOXyxWJRBRFcblc\nIX0fn8vlamu7Atiy5a1IJCIOhkLzenouA5vbrfT1oWlDumnfDknKrGD6qJ2TLOjt3eBg/R3nuFlO\nSrKjI9PebrgTF3rBpSZP/Yaamx0wBDPd7h6P511VNS4eVVWfz7d3yxajQQRiSjMyRQFG4EgotLCn\nxwojMDMUGjocA0jqEy7DNpXRbZ9HTPf/TTtH4Vz7hQ+SjVamZ9WNziqb0Zyx19ks4XA4kTTZvDI0\neFQgkUiERX2tkxcWUzTUq9TAcM47YyAUwgYhGIF6sKCMOEiTIKk4HNhIRJNYaViqMh/cDLwYYhhA\nsTpIkcgmxVpaw1J14OWQGO2EZrti5QoOCIO+QUysG2XiVtB/AZNpDwLnWZPO7xqS1KLpkYJ0VnR0\nhNvbBydvbhWIUX5UX9FwmgXJ79/X3JxbwFFVNRKJJBKJYHCkra3NuMbr9SqKIk65XC7jeFLvm9xu\nt9H/quq7qvousHbt2u7uY488kg6F3o3FGnPTCbONpZg/cfsmWpbiW3p2bXFafLPD8fftzAJgDEc2\n3+tDFFkIUjWoGzYMrVzZ19eXSCQKHxYKhRKJRJ4amWltbd2xY0fhvYdV9bAubDNDoeM9PT02lkVC\nirCWiqmmRRekI+TT3k5LCz7fKVb6pPwDqX8Q3xNXmY10H+k/xv6JV/vMVXO5XG0fVgGqldDxSNE2\nUVNhn6lUW14biMQjAAdRy1UxuFEUJZFIqGruz9bWVrdbv/7tgUg2Iq4BEiOJ3Ps2qj9+LgiQIXTc\nFbusLZhEc09o/njUSn36RMoCkz9OE6WgSZKSRQrSmdPREW5vH4H5AERhxBQWAH2UnwSamwdFUzc0\nqB7PCy7XJHeClpaW7u7uSCTS19cnugBANc0AQqYwJ4lEQnS+fX19eeVxuVyKorhcfX6/FgrN6ukp\nC4Uuj8WqGctMOJzluVZkc9sbOx7H8xU8NbwPZL/dkf52e/YEjGMvw2KDFM6xSbPIFAw3N1e53Ylw\nOH7TTZV+fyWoqhoMBs2tkesxp1UjRVGSyWRRJTNzXFWPq+o+SB+KuF9+2nU0pGRiYNokVpTOznMl\nSDvJ/EPB2/wDqc+QudR0pKGhwXitqqrD4SjU2lAopCiK1+stfBefzyeaS9wi2k1VVbchR+Dz+bq7\nu8U3zTjodrvD4Ynv7V/f5HW7CcbpdObM0sEhBqNWhOEuaivSYvbcpL09CrtYv+JUWuXcc35nSLLD\nnZ4Z7bqvreTU0TQeeCD7/e/bYa7ezc8DdH9rMRkRYVtSfv9gW9vbTU2HmpoO/dEfja9cWReLxdLp\nnINtLBYTg9lIJBKJRMQpl8u1bNmysrKycDicTOa7KJWVlfX29gKKohjPAXw+n6IomqbFYrGqqkxT\nU3TRohiULVp45OCReZyAMnCYrAYpOAoZOI6m8YONvPkWTQ04Txre5EzJaFr8gQfi//T9Y+MwTnac\nsTSA1Q7jkM25WANae3vkIx/xfOpTiaamiK61gMfjMbdJOp02t4CiKGVlZeYj4pZC8Z4KRVEiM23a\n4qbY3EUXzSA2b5EtcazsxDHiBU7i5bAYKuK8s5dLmph9tl3cRtI7yVjJVDDiIFnOaBpbFstFF130\nIe1t47KxsTGzJimKsmzZskQiEYvFzE8TSiNkJhQKiRbzer1ut1tRFEPURVs1NzcbIyFAtGGexkci\nEeMuVVWXLVsGeOzcUs0tbm7x0FQJ6Yvs2oH0fMuRdxUyMGS63wNL9TAbDoIZLgLf+ZCFjKb9S3f3\nf5/cXO8bFqfzpzNmfP7zn5/qgs2bN2/cuHH79u0vvPBCPB4/fPjw888/v337dpfLNW/evPezqOcF\nKdinTUcH7e3oEcQw7ZkRe//Txk7C1atTy5a9parH0BeEhHHJ5XKZx57hcFgMZgvNLw0NDYVjf9Ev\nqKrq8/m6urqMW8QY1jyBUNWIqkaAO2cuevh/K9ohfXsOJldd08Qk8BSBp2j/LOs/e/btlE+8oyNu\nGv3osZJIjWG1Yp2JVV8yqt6wYfHKlYPBYF9fnzBphkIhYwgvGkS0Z95bFE6DzJ3vqWA8IbJAjSxQ\nAddloYZXe9RDvZM2jTZAo4iFp3EgwLcC+Nr5xFmtJw2SdRJ3mkxdDpJxnMOOSXtXIpFIOBw2T2jQ\nxyJ5uism3KqqCtsv+rTb7XabW8/n8+U9DfB6veFwuLCFxY1Fp5tqNrz6rR2JROL1I/N65zTsn70o\nZkRuc5p8etK5QHntg7SU45t/0oY5x5zfGdJJ3Zp379795JNPGn/u3LlTvPD5fJdffvl7Vq5SQQrS\n6REMUmxKaUQAqoScWcPvP9TcPNG5JJNJr9cbCoXETMh8s+htxVnxUzdmAObVI4NEIqEoiphXGdom\nFgMMhwgzra2tbrey9HI6n4ByAi8Dpk1Q5mgHScjQ/i3IsP7+U2ySUyIVDMYLGk6PlUT6ONaZpMDh\n9zvWrbP7fCoMDAwYbRUKhcSimmE1amtrC4VCZgk3zHfmtzippe6kRC5WIxer4fkNvh8FcoeqoVGP\nhWfwcjuV4DsTTQqFQuFw2MqI01eXd8pJ/EOR3Fje5XK53e6+vr4dO3asXbs278qiEhIMBh0Oh3G7\nMQ0yvmBCsU6xnOJb19XVVThrN5tSL428e2nk3dAsV4+7oTesimrkiOreNk6AG/6d9qbzZrsrTR56\n6KGHHnrofJfivCH3IZ0Gmpbq6NCgH/oLVhWM2ZIV8PvfMNTI6CgTiURLS4vZNiIQ/VE4HDb3nuK1\ncLHLu15RlNbW1sKHFFUjYaUBfCvY8F02fJMNX8AzX/fDMAflPAjDWYZSvDva/qXRjm8XBgY4c1I7\ndoho0eWT9wMJM1g2CxkG7r+/7H/9L7u+JCMU12gT0d+Jf8WEUlVVc2fqcDiMzvd0KbrcYiZ0VXPQ\n78/Ft6gyxXkzE2wneHr7k0KhUFdXl+jNjykzil5zXDlhFFKociKRKGqELFqL7u5uw4tBHDF/06Zq\nMTFyMv4U38NEIiEelUgkjJFBOBzu6uoyPhfjm6kei/gJfvuaMOgrl2IX7QrTjm0n7RrBg1O2z3vB\n+d2HVPG+1vWDhxSkU6WjQ7vkkl3BoKbHQ9412a3VCEht9fvfaG6eMJ/ndalFNWnHjh2iizHUy1CX\nwounOpiHULLCKYL/Ru6/rk+dHwZTbIc4pFIcS2IHxYpibV+f7OiYain/9AkGK/TIfTao0PuonGf1\nDIJ/7t+7bFkwGDR6urxlebMgGSJt7pcLp56nTp4rYx5C9pT77w/93d+FmpsTi6qmjJEZbEcLnso7\nGlJkfEAJpazolSMOG6AoihhYTGXdRbfFnfStza0kDICF1+RlkHO5XGLhSrhLGMeDwaBwfwBaW1u9\nXq/54T6f7+9udm+4Rfe4E7vDNP2nE83917n/pEWWXChIk90pEQzG29sHTY7dYneiZtrUkwFWrx5d\ntuw1Vc1Nbgq7jB07drS2tra0tOR5RhkeTV6vV0iR8KMT85tpVkGmOmV2lCg8q1aG/d7Q1w6uzYV4\nS0Emgx2cpgGcw9b+vVRLS8bnO9svSSYYtOwM2uZgsQKkjpDN5Kyc4tF7P3N/6EPLRIG7u7uFcUlM\ngAwzpnlaILrmLVu2GG8xIxaz9/TMisUq9V2b71ZVlcViep4g3m5rG6uqKiyb+JgikchUcwVjuUVR\nlAGXK+L3qwd7ffHApItEYiUxSd7ficdX9FHCHUPMM4rISXikX622kLWRtpAFUtizWBZGcl7X4jJV\nVYUxs6+vz1fg4Fd00bGwGOh6HwwGCw2AWwp2dEUiEa/Xa2yMA/r6+vr6+oylKcOganZ8EEK+bLzP\nTyKAj/Lim5MC+1m3BF/t9KU+d5zfRaSKqT02JVKQTpHOzvjk2bbhyBA1BMnv393crInTiqK0tLQY\nv1gDMfVpa2sr1CTA5XKNjc3bsuXSWGwWEAiMNTQMezx1Tz+zApsNq0WpdCRGk8DSpsSyy6dcrne5\nXKqqGv140WuqZie+fVf4x1vdWkhXBmdBiGmnvXNT+iy9mlMdHTzcXlE1sVnL5iAVJ3Ukl/Xt1fvv\nX/qtby8y+bILHc0zNKHPh8QU4d1XXkn/+Mc1sRhQEYvZQyEjOoUdRmAh2IzEUNDQ2zvS3Gw2CLzd\n1nZxc7OqqoUuzph0SCzbAMacNVKlclDfPEvBYlI6QL8nXPE/hPYYPoFTfRCKojgcDkVRVHd1D0m7\nqbuykU5hd4dHmOzJ7fV6hSEuz12bKRYdc8WORIw9A0BLS4uomlB6YzIaDAaLeov09fUJtTP7i5Nb\noXSjS5Rxi1Ajsc7XbMFxVOlyqrFh08zelFews/99FCRJCSMF6eR0dET1xHpmJoJK+v0Zj2eXy6UZ\n54TfQVtbW9HB5pYtW3w+X2trq2HuiMVm9/R4QqGqUOg4fAgQyyu9vSmsNmZcwUXis8pAOWSuuGbM\n/9/Gw2+lEomlbW2vV1UdM7+F6MQVRRHD/0KnLMG6NTRfxde+G+rdpZIubrzVhs7qG5IJBvn7drtw\nEzPCcdqwO8mMYanx7Pb733C5bKGQmAsWLssXdZwb7OgIt7cvAvS5atw07hzWHQmNGA3Cnc/e28uE\n6wYLe3uza9d263qb57ZneKYVqn5iVlVwsd+XCcAUi0n97X2HE5HjxZ0FhG+CmAWa5XYPcTt78i62\nk7LqC31CPIRTnNfrFQKQ98mKmWXRkYrZDizKgD4jF9qmKErh19VAXGNuJWNixGSnBuP55nXNZW/3\nJccSgbTPqJh5S1zgIJ49rG8q+s7nGjlDKmGkIJ2EYHCkvV0rFosBsPl8zvXr8fmsoVBdMPiG+cau\nri5jyT3PfBeJRLq6uqqqPtTXt7Sn5w+xWHkoVKuHDxMY39lyMg69RzKiGWQhHfjfWbBCRW/vh5qb\nDwJtbbGqquOYZhUOhyORSBT6RIkjfX19yeQO//WJhspw4Alf8fpbz26VcecOuzmItxMO5iIF2WbT\n39w8t7VVDK1Fh2hsyRQ9XdGVkle/9KU53d0Z/XnGDzxjctFImb7Z5hh+5ngQdqjp6rpG04Dft7Up\nqoo+8Dd/XsVjQ8xvZhRfPDCxmJQ1TcegoaynUJDEhKaoV1sikfgNbxVNcP2HhjkLIrkBh+j0fT6f\nUB3Drmu+3uv19r4W6bGosTIlZ0i0UjUzEZup5JKaNza4F7r+/SBkwaqO1aCNsu01JTwYTkQbsDRM\n3FWWiM2aKFP6d322dyfkSnxkmEx8hhY2NDTkTZiAVpcSOALR4nmP2/fQUoPvfdmaLSlZpCBNR0eH\n1t4eyu2bAKgxrccDlvXrnWKErapqYe9pjBkdDod5OQTY8h8Lu59eiMUO8xiLwiG9Mxs2rUuZ4/wY\niSTyAhqkwNLbOx8svb01ra1vt7W9awiSCC8UDofz4j7kWV0+8ccJmy384ydMY+1yqINyuAptGE8l\nZ4bljSDqhGWGFDRCHEJYrLzuds9NJMSgW6yICFNnd3e3+HPt2rXC5pPStIqenpmxmCUWs4VCaX1i\nZCQ1z0xOdGj+WpvTFxpq5DE2xvT2Wuw0hnuHI6uTyURyWVtidlWhBQ/w+XzmNZJQebMyPuT9/+y9\nf3Ab130v+hG4AlfULgUTtATAMrWRlQXrWI5qOKmp64ab3jg39wWc9j5n2ijtDeH7Wr+0TTrzmk6n\nzZs3Au9M05s3TZu5vbdz63tbgX2p2ZdX+6UlXyd1G2dZO4TrGo5qOy65UZQVLQMwRVAQd0UtIQh6\nf5w9B2d/gJJlUpJNfIbDWRwsFovF4nzP99fnE51xD+1d9qooWj3x0pUxftAwDN5pYF8Tea/vaQnI\nIUVYO5J3yPJFX2kMqbjjnRvyrOlg4oxcSB5DlLLDkwtEKggSlMTKAixmn1WIKL4C1FPt8KOX8JCE\n14pD6shrBvkpjNVKAMrlMos8Z7NZdkf5Cj41TUsmk7qu5yyrAK3TrDN56qYYpFvuIS3dord+N6Br\nkDpC1+v5/AucpDOAFSABHKK13YMa12vua3fNZDKMo4UkRWRZrtV2zc2ljFN3GqdT6I25Wf5oAk4V\n6yanSCf6gxptN4DvG3K43VpAY2ZmX63Wc/iw+7WSeYqfJoJdjWS5Xbugtw3SMDBML0IZ7/uPyH8C\nxz/x9q/gST1S1hHzGqQ1EN7PU/tHzqnqOcMgpVksI8LHo0gyLDo1xbT7GFgSr06L93iLEAnbZjvw\nbZriAYgKAKReeQaAerpYOpwtHfYYEgCZTIaUEvCDRt/RjD3TKQiT6Zkpt9KVqx27fEJ9rwaiKxho\nIAoggWoUDVmWjx07xjscZElBZnm+umHCRN4EwIUsiV3hRc35hmhmnx0qkELsgY/wkCnDLqEYU8kF\nLcbUV18zNFMHDdCFsgWC/hCIiRpBBVFM92RqYc5g4RTGD3WdpG2NrkHqiNlZEl1S6Ixv0iqGAcJf\nF48XDaPBnA/S2cpeTtatlmVNTU2RkSefHJiZ2Uc1EOpo2OiNQYwBgJjAFRvNKl3l216BOoSp+TW5\n2IcDOIiIEFLFfzx49ChyORw/3q789oX4CZLJJHFKAMT3WLmsPv1cprZTZtaIIf8tjB6CduhtXsHX\nZtEHrHETX4KajhR+8ONHyRgrO2Z0DKzHU9f1n5TloDUiYN3INp1p+UsTDWyzHdhkK8Rca9TOLAGZ\n781Y9zxo9HmqA0L7fqyeuH6VJpPCkO6ZqzRDDBJrL+P7zO6QL/4fuLKK/iEs9mENwDyG+7F6pfT9\nEq74Ypjk4pAqA2LLjb5U3vRUCrhmxvaKmvNhTXi3WfiRXwjxyrDesp4pUTUPYuzNEjYsuGd5wWQy\nadv2iGVgBwrQ3JOhl53IYdwMJ+mWe0hddEbXIHWErrcAvok8QQVeloG9n//8OVW1SN8MmSzI5NLp\nl1kqPTAzw4jkqsBZIIZ1QBAhiACwcwDNFa/hcbyThO2V5mtxpNgOehVAwbr7XKGAQgFf/CKIuQzN\ncjNrBKBSqYzcX4nvsQqntNDV6+SLb98gzek47R1ZcaOe1gcy9n0ZeCOHxCCRbD9JJlUqlRenpjZg\n7I9Sm9QMGKTgtuidmQEIewAE9OVtpP7hb41P5K7nIxrCiOrMpUAlrLzTq4RwwrRkMsnKAdqDaMbw\n0kN4gY0MYXEew1et3pJRInm1Y8eOsbUFn+4qlUovH075nWpi+1fYpwUQJgXPtqPePfltJyTrgyiK\ng2pxUM2+WRp7syNbIPt+GcWterUC0MvOLOgKIMLsastub3QNUjh03db1IFWBAtSBRi53+vBht/WV\nJAbIOpcvH+DX1NPTH5iZ4XMpg0DZDaNctl2DFIly4SXm98A7InCFD+y7a0KIQVBwkQ5EgJ1ABF/9\nIzn7SGbsk57JgucoYh+BbKgHKurOSrEut48jupUceh3mKpTrX9+9pGNODxmvAn3AsMY6rniQEZXC\nzOfFmZmot/mLB5PUcLwT7KFcLgLUdd0xTSZix5c2kFV4RPRGrigdtbpWXHjrKOGyuybsVhwRTrmO\nNSStodIbfgR2z7B1jCzL8/KFYcz79hzG/HJqPwz3JZqmkSo74iqxub5SqcztKaM/5TkBEmwmGror\ndHnD7iBmn9k2E4LiF0KMKJiH1w+buSuTXi2r1jX6n9gtF79qZS+WZuoZN9jaaC/DlJswIXU9pNsY\nXYMUgomJaj5f7fBkIpv94ciIj/kZQceIzPK1mjw9/ZFi8ZD3UhO+Ahuw0aK/jKbNTaqkULrJSXsS\ndc8VtBmxBcBxVeh6Yu2X9gIi0HLQqOKqM/Ot3RA+MPZvvg+6MA922vJt+em+crGuAjSRQHt5zDre\n9z+QP3rdzGMvzQJADDhCf/w6nfrr0KuQy2XeoeSZ6Mjku8sw3j8zE1zx81aafOihXC7CeQJD4+OD\nmgagruvVyUl2saJAH3BW1+um2T4EO5wCJCjZGjD2/a+WGtnS3e1kko8rj1XilVtptVF0rZw33CSv\n1cikT15Lem+Zo+BrW35F64cKEU4CVdKNZEJxIEpSm/WDMVn4EpYAolYFaspzAgNAFbC9oubsNuSv\nLKP28V0T0IhnxLtzO2vpWri5O9PMIPlKw1lDErnrjh07JstyRccMYQ3l9RMbKLyE8eFuT9L2Rdcg\n+aHrdmdrBEBMpyNkScvU80IppVVVnZpSn3hiLw3Ag5oW9zjAXqCMHjoxXHENUi53qK3BCShK0zTJ\nq8j6VtD1umk2OLpxARERV9xNiIBjYt1kZzLzNNCIf/Wrh1m6yzeX8dOiupuKkLJZjFtx53WM7r++\n+aJsQgPJFLg4AuiADuvOjL0/U/FeMZ4Encz1/QsLwSiR6I3ONYEHTpwYyuUQkIgHENO0WKCtd6+u\nL05OrgGSrjcvmFF+vfwCt18VmepM+ZNp+UNZvtuGXTp2tpWrqutSBJIfal9xYf1o5fI1mpQJ+rA2\niMUhLBLVCQAfxouLGFqBh3G1Uzd0LS6HdESRMHPEK2reR+viB6lYL9tepJ+CLYTItWbulDdryVAc\nVOPr1tibJda/Ba5nFsDMzAwZIVfy1TcsQA4pBnEw+coWG6Suh3Qbo2uQ/JidtWnxAvm5KPxicmTE\nVtUefm3LyFR8qFTUJ57oA3jmSNtbTisBNIF0aTH3CxFgcHw8wVfuBSACKV3vn5xk/gB0fdUs19GT\nAIAeoFlvW6OIiJ0JRMSZb+OL1VgorbNvgovvtHIpfdrK1CAjBgxyeREVWL7u+eJTo63qnzWGdrb6\nIgDE+fXIWgsaYEL+aDhRhW3bTMZUluXlp54KPTAr7x7M5e6jztD1Y1DTyEuaut78i0m8VHCnWhOA\nt53oNNL/NCf9/K9vzBxoXY2XG2qqP9xOpHfN2WLmekjHh8orglpd5WasBqIJVOWKjNAGJV/huBQ4\nfxGIIN5rqfOV9AMqJGCFLjVIYQ2pzuEdI+JOkcAdW5REoPdRxh8ua+nDzF0ZACyZxLNIEJInUtRA\ncmDymoqW5r7SGwA0l9HFtkXXIPmh668Br3EDVb5r5ctf1izrO0H9iOBxpqeXw5ZDdS7kEcn9L/sR\nFdFYGf+FAU27XqZqTZP4nXXdnvyzeuEvySGBJk2J9CoQFfZr/+in8fjPlo/9TPtUiYdH4nV8K+hI\nzFhAqijIEEPs6dzpsq67gkw+rgEezqEX7PvvqCNWR6wJAUMYnp+PzV/AEVjpB1KpFJ+fJyD0FgAM\nw8hms2IqtRJ25CvxeGJsLDE+HvR+3hYETRM0DTOj+PxjHmkoNj82oT5fNP5+ZvoOf4IQ3i/diB5N\nRQ0gxB5IkZpVvy4JjJ3yxUuBygEHoizXfAaJ9Z9KkkQqU3RdJwHNSKO1M9qICC0A67bYikYOJ+Xv\nJGUA6KPixm8fehOTKejLMInZaIbvxieTWLsuq7Ljl3HZw3LhOQCB7oYoV1uxReh6SLcxugbJg4mJ\nF3T9tcCwSTybEyeGNE0yjDZ/Jc+8CW9MprNIKSnpRi4nnvgf5Ld4o32nAKh9Gv0YJv4jzB/BXbuS\nimbvr/2Jb6bKtcrYT7pnxtcU+IUBo+UiVE/tGUEdkPzE20wFjhmnxfI3Wqlvmbivzv3uq8OJYcz3\nN66WbGhU0onl59luxDQahvG+0dGVQiH4eXsffXT4j//4bV2ijZDNWedsfC0v2zW3loxPs4vAXxYq\n2VzwdewbTyaTlbMqbBoKYyAShHu1zD0ZFrLbgNfuinwFgICmBJvQBRFb3pBaH9c0UjVDaCxIQYRt\n24Tyg1yxdBMvDw2J/RwVXrThOKLWFN/5r1wToO2F3oeJFeitQLEnZ4NJMon16pZKJd9yLZPJkGfz\nPcg/H1K8p1ehn+2mkbYpugapDV0/m8+/xGV66txSsPqd7zxI/BKev9LH6wWASLgaRq9hlIFTAIBh\nWqRA4B5zfDyYIrlx5D4DZQiTf4bC12NAFT2xUIKWmecyY4/IcHTQEEro5Kj2VnCJRlF8rS0Nz13D\nE6GCmpN7Ms/tTiXqgVXo/PDwrjN3VM5UGK+Sqqp8+I6dTPnF4uGF0lAcAKoX0OCW5GpAm+4dQn7s\n80alLP/n33U/lzfNrr5YXDh8tHIghAeI0b/aMaW0ks04M/5r5SCljKQOeqh9LEoj67vyLURiqEuw\nbUgORAAJVG1Iq0iRpUMymWSNZXygmBynLu8SRX8cTRSdNxrCZv3MNQmKiPed5Ur1HL8NrrUkck14\nLWN4ie8A6Loe/ZcKhPCvcvL1rTRIXQ/pNkbXILUxOVkG+N+BxFpUNE1gUbLQfiMiaQpAkqQnn1yb\nmSEdLn2ACSx6yA8gAjhxAu+QRTsI7WFoD2P0I7HH/j0Q8a6LuWVs8aQ6MqwDINyvjDiOd5jiPZYa\nKRugrS0CragAjGrKuJxUe8JrfMkc1CNfckL6VgDg8uF98orMpN6YHDs4a5R5bjrznRnYGLgCAAP7\nULVRvQAAp3O5I5t+4QD1s4/ja78LQJu2NwAAIABJREFU0OmVXK6r7nb6e3NBg8TK+l2eoSC3BikK\nLM/iYI7U2TP5Cf445HZKpVKXkj/4HkwTig2pCQFADPVBLCfs2BWqkcHfdb7jXNizC0ALkQaiVxEB\n0AsnglZZaGziz1wRcGIQEysw17hMUqPNrmUkUsaupC8+wFc3MJ3feA9UsWwg5bfiLZj8mqCL7YSu\nQXKh68uFQtkz9RJJSziAo3kXbIT/n2yQiYmRak9N7ZmZuZvbl9Q5zQOEZBS5nDg+vvnWiCH3CyKa\nwxNfdkw+Wc0tYwt/iuVHMmOPuEIPAJhWBY+jUcNopdzi7z6Oz28Ir7Yyo5f9yhrgolhNdFyVx1JC\n1kuEA28+JnnGyEzP4AL3GhuJPSjfry48Mrbp7pGL/Qp+I4//lAcAB6y/GAAakN4I728lcGO2O2uu\nNWp4uA/Lp+dmXn/C9xISs/IRfp/E6yYU3q20IdmQFCz14m5cC5FIy4G4zpnEBqK9cCKRDgmfG0VO\ngiJgUkBhEQBlyWNYwVxfWkVIktW2bR/90tGoYURSQSt+M6rs9mzlW2yAaytrbmt0DZKL2dnlAKOk\nRKlXnNFRz0+EEApUKhXS2UPm1tnZ2WRybGpqwGvSmrSddhEYzOWkEyc2M1IXilwuoRx0PvopWpEW\nLIj6u0z6YJmcNpkWgwdReypuY6zjFVVbwTOJ1OHLpWDJHlnpW5Z1pjy/Vz3bhOBrqQEwiPsA+Ihw\niCaQqz9kLHisEcEFSPvillezfJPx6XF8OY+m1xoBAFKvGUnDqHjfmgjWkXUJAKuHhBf9s7Mdi/Px\nWkJAx1QBbdsmAva2bb+V+WFd9QeS6oitSC3pOor0ZGt9PeCVrkNMtTupNw2aCC0FcxmufrIXxTX1\ny59S5bc85HuhzFXrVsp13PlKEBHmGrrYnugaJBem2QqLK8eA+shIXZbf8kbzXGnOUqk0NjbGNECf\neuoCkCA2DADdJj2TywDGx6+3lO4dQvuIeOI/47Hf6lgQNVdKq/fo5IOE7hDfYak9ZaOZwnIgjVTF\n3F7/KhjcvNMr3/UAzsa4oogEqiYUEwoxSKAtk6TQjpQGaJpWqVTw9ULo+Uhv1nha683HkILfyiOf\nB+UAQgTSTggRQEDmn6btxThI95cEtJD8x2fkXlkzF6x74upAL5wiel3VhraHFINaLy70HGWUDUFy\nCga7gy76FfluGj30gFwNRrpxTg5f8/9wy37j433QOzTs/e7fl3O9HWWOQVNKT39PxushlSDmlioG\n3doc0k2aAN6t6BokF4oyELLYAwDx6NEewjzNi6GR9DIRdyBcyzMz5596agfQpIlLSljn5hYGT5wY\n1LQtd48Ycp/GmSryXw5/trbi/jJ0XS+VSqEC3kdhGE44Q1ptVfJ073vRLy3FAiV6CswEPscMEgEr\ntCPqPtlsFntTCKGFA5rYQveI4DPjOJ4nacNYL1XQjQExpN4ycIa60K/TOyUBNQG8AVhAgjIj8DeR\nDcSQ7pvrxCHEo9luQ/XgvHVpD/cFEN1Y0pbLU0C1OnwfncbfOc50bhgyV2GJHRVyyZkbhlGWsnAC\n0pFBhqgutg26BsmFaYZHNlS1T1V7AMzOzrI+c3ClDYQSNJPJfOlLZ4icK0CcLTY/SUCdFendTIx/\nCvn/k2O/4x2d3mahcITOgCRzRl0lAZCaiAm1QxIGgRQgcPYBgAisITjRsWamvanTACKtVrTRiLSu\nAnDE3lYk0o9XgiepqqokSaTQbmpqKpNM3gPUuUDOEmEP0LRQ3dvNxJDi/O/5+vG8KFBrxEs2iJyU\nAyg1AxmUqDMcXNLUIfXXrmc9vtPaEToetSMAVFVlGuQkYckHwWRZTpfLxTCDrV37nW8Q7dKDQFVC\naM0LY5dnolDR8xUg5DtVtrQV6dZ6SH3X3mU7o2uQGITQgu/PfEZV1RZZijLhGQIStSNO0n//733F\nosTxdBJSBjd8d+LEhzVtiyfTMCj7ceJreOxxAD560brxQov2SXozZ3soAZ1KG4J9ZNgAgLho+1bz\nTDfdsqzd8nnRcURnnVmVKBpOrLfZtxh6nnyf7One3jiZ1iIY2IloBACq6xhobH4uJAjnKgCIPfQx\nL9ngI3yTuEHJ+5QXthO/nre+LIfE5QA0pBa4Mk5fPQip3QcQJ65SoDP3wPW89w1hdD8Kr4fXFtaa\n/sgqkd2CV+y8sTsZ0uuGbpXd9kXXIAHAxIRTKPRxq5d2wffoqNsMz1r8VFUlxbuE5tKyrN///e9+\n9asfCkwGhJRhQNNWcrlbYI0Icj8LNDHxezAZ7YHj4AJPcM1ZI5Ga0SNUxs4JsUYAaoFYOF+nt7I4\nJO5d91X3iUvr80v1fzj5BMke+VgemEjrwMJCE4j1IsFNcwNRVKcK9vi4tHXliQCApmmC123nJRvI\nNjOLUW4w6n3KC8kJKdJjdKvMkO+Vzut4zYFYRYIUgCgwRTi7K655DGoy8Z1kC6oa7AqCiFkRuWt8\n6BuEtj9cjBwiamv+26NUKvElduQeiNZTzzzT4chbh1vrId28mP27El2DBF1v5vPBLGoMcFR1KZUq\n8/VBofVCCwsD1BRFgAjgAKuUkFK8+ZE6H3KfwZkl5L9GHztBVQuKXgCciDXCtVABxDu5AwCAPbvO\nuRyoXp9zeO93f3DHQ4bhaT8ichhstt1Vq4lC2xo1WlhpoHEVAOw/m9xqgySOjtqFgnOF2ltesoFs\nS5RXnIg1kEGyLXGU4xwqe9xIGsk7ptNpYod8BRrvw2oB9ikcYn1IZ7H/EE4dKHeUdeAZQ3oPqqFc\npeam9cX6ofQjdz8Kp0NCdsyBZqnWUFX4+A4LkP2tFk0c6HaPbld0DRJmZ5sAIESwO+qujS84aLYA\nCVjaoCyKwTDu8DJwMZ0EB2iOjt76whqTp6S7wsfavDcAYxVHQGDUi6CHxEPeXUMfabuioD5nJv1q\n5fIxEgLle2NBnYaVdHr45SIZqTpY2YGBBCQRAKpTBRxQEsePb/DW7xCipgFwfLKqArfNPrfNDdre\np7wo97vJOUbpRh4yudhUKiVJ0oK846R8JNiH9EFc2o2Nyr5lWR4bG3vaR8QHWh2wmX2xAUQ6hOzW\nJNAFB2812UOysJu+nEEsE2y1mD2L3L1bds631kPaaqa+dzm6Bgmm2YIURU8EV1q40sIeEVI/6g4u\nOKp67f4Pw7jDMIJkdEQnoXHixF5Nu/X34OhDcNlXAfSKsPmmWW4eXQckoAocosXqYnhqxBX97ARR\nQ18RAOrASRr00wARKbGRSmSISLnP3SQr6KaqkryR3QQSuFdxn2056HOwnM+vmaZ4/HhEUbAFEBRl\n8MSJ+sTEctmM9UJoeiUbyDaRcmhQsQYySLbZUxT6oVxlj8pYzEEZ7Vh5AqhJfi5zTz2T8Z1PHbF/\nTt99V+X1Dc7Zsqzp6Wnrwxr2yCFUEZvcF+vB6H4UgrV2ItT1CprtpUYymUyn06xIkowvLCzU3pIR\n87cSI4YOBUZdvPfRNUgAAKeJ3VH0CgDwlo3dUcRErDfT6WtnVxcWBkKrlIGoprVyuVtvjQBovKqe\nyE9a3igPeURKxYgV6RDy/syPJ6U3XQ7sYCjGuvgq4KoftXESeBB4WCOPeAY81lwM4FI8/v1/m/2J\nb89AQkKh52XCOeNGAcuFAgqFRD4vbY2rJOVygqLYk5NODyTy7YmcZINIY3QkOkfEGkQazRvgngLK\nBz9uXZRQqfCGh7G6MctEGmNJI1GQXLUsdeTeJa0IpGJe/n4JP6VF0NqJRgQtAOsQW2JE20qDNEs+\naSDmVuuV+f5i5gsSMBrDp19E8WVgmXu5AQxyNFtbgVvrIXVn3A2x3S+PrjcL/28Ed3FBaymKugOn\nqT7QvD4PaQet7SaTN9mOAZFbnj1iUPbjxO9h4mswzwKCgPggLtTRbHpFaYEmUAOawPPAEWAeUDgZ\nN4oTD+PYoRQeaFdqMDltMr3Kcg2m1xoRvAQMH0CsXWpFSoF9cdHTHz76E9+eidLvhFijOj0LYvnN\nfH4Y2L81NknUNHEzklUpWtRsGMbCwgIxP8wvZPMyKZ97Dmvz8PRvSbBd8Y4OIEWe5DjLe+ReONFm\no2FHrzQFALtjdkOImsJWpdH1ZRQWw+lNakvtO5/UeRuG4eNXBWhUO8gfuaWNsV3cxtjuBmn2BSAm\nuvMcEV3dA8RE2A30hDg3pDqIsVMbxi7DGAgjHHIA3A7ZI4bcp6Dsx6QbuJPgCLjYIXDXSxtrSMgu\nQaXbAADjh6AFlEn5FH0mkwFq0N08kM97tIozM//US64eIdEhkgr80aw74vrP5jIL01HUmnU4Z9xa\nP/LHluNmPt+gYrqJ48ejWxPE2xTwSt4ASL2Zj142mbknJtcbiK5g4DKiAPahGkM9ZYdPzywlQ45w\nQd6FOqw6p+9nR3tjzhux5hb9zGeX/UWaLmJQa+2IriRJyWTSoCDCfSRcub6YgqR6ljsxIBYi/ruZ\nuLUe0la1Kb9HsN0NklmNoA4flSf2AJKgHghJk5AfFZt8FxYGqHvho2S1iXjS1n+CtwHtIT52J25d\nCWqpJGfIQt/Xw2TDarxqHfo4ecTTV5OsEntoPDiCAWgvFIjcoEPrz33L8dVCgWTxzUIhlsuxovvb\n1j4xrwgBt+mfU6jKw29xOuQrGNiH6l7pdOihfOS28XPWelT0mf/1unhQbGzR92yudbyDantk0Fp3\nH0k5nzgs1VX4aOtsIAZzEF1sT2x3g4RmJJTKE2LkwQ90jNexFX2tJgfYsBPAmqYJudw2rV3Vdd0w\naujJZpyZYA9TaslI3mmwSmiCbDZbKvnpwyv7VACtdcBLlcCDGVUHKBcKrBHsbKEwkMsBUI4fF29L\ny4SA2/QdqcFbI4K3kFhH+XqOdm7nHtSBNWCAlnJVgT78UBK2yCCNDqLQgQW1Fr32UsxYTxprYf15\n9a0txLjFHlIXG2K7GyTlTgBNyoRD3GkRiGQU69d/NVMqhcuTc5BC2LCR2LYcitPT025db+NoxnGZ\nsNEHDNG243mkz83JH8pWaKofAOPMJmCiovixpPCfJhpVk9Qs+uZVgStNZ1X2BC2gXCjEgFOFwt5c\njo3fnp4TMUskkS/C2Ucp0s9AcSBetq/rXmrZEaTgiXYNAFW07Ai2xuFQ+oBVyvIEINGuadYkT6GK\nDyTAsGB17BZXNvlMu3jXYLsbJF2v08U3I3RsAKJ13pqamslkMhv8rgDE41YYf1lVUQ5t0QnfzmDW\nCIDVE7f2ZOR6yaNNCGAIKnotWQ5a+rYdYvhETogpGPloaHiR3btNr8iGQ+kmQD0n9pLlQkHK5cD1\n6tw+JsoEDsBUuMUNoUivSRKvnMQTqnogIOBfAYlwoo13jol55E96qw9WaN4RSJUNwwqJeMuyPDo6\nSjgJn/q/LFghFXoAzK05ZwJSJBKUM745iKC/W7OxAba1QdJ1R9ftMG/GUdU3EEbW4kOtFk6IaZor\n281J4q0RAE3T5KUovvmYa42WgeeJBAfwM3r5/BTQjtqpqqoFqtrc5tkfVeK53Aemp/fXaqe815Sl\nh1tcjKfJzcw+KSjiQjUKBcINS7BCg3u41cbpp1H/kcfVBgAF5r+W7xkbG4OXxY7QW3gsU6e43BZE\njvVl5ElnFPF6GT93FZCQW9KTywY5M1LdTmTDSClQqVQixjV7WH6qFlYPtJXWqIvbHNvaIM3OOnSt\n7OtuR6NxbULMTCbzzDMicBmIeiP3jY68Zu9R+KyRK1k9EHWDRd8EnuZEwf8B6f9prvJTrkFitJtg\nRsg71VojIxfj8ffNzQFAscjGmxyfXIsbjHHb/M5OGPVaBFgrFCJAC3jdWxlxk/NP9Q4z8U75Yrlc\nZjk2UjxNxCE9Bolci2BH3BY0wk0uUo4G9tY0YDpiGOMHIR9wnd1yuTw7O0vqGkZHR8n2zMxMNptV\nEnK4AJkDTdn8c2a4tR6S0PWQNsS2NkimCaAfiAIN+iOWCG2ZaV5bksUwDEV5kNTk+VQnFGW7GCTL\nsnRdD7FGgLHSkBJqat7AX6C1zvHONqB+s7hw4GjlHjWbzQIolUqkOTQ8GAWcU9VzqgpgNZ2+a3q6\nt1YDZ28EyjYHoMXNwPxXyGQ2ePA1EeTPpPE9MYLqVGEol2s00CIU4FtGD0FQhQMgglaUdrY6EFuI\nvFw+PTDjUj+RUu9goTyA+EUrWNOIGJS9m3mSpo2JV1AwAQAKINIFmOhGTntTqqa1fV+ircyY8lVV\nJTLBU1NTekxDQ/UUA5FvTsKospnn3MW7CNvaICkKMSQ8HQP5bQmqeu6aL7csa3r6PLAzqDphmh2k\nNN9bsCzLNzlms1nbtqempsigKh5NvWY46+6aMCIguhtNAVEgXZrDw6Oso+s6sTwysh6P30m8JaAO\n3GkYu2q1fhqFEyjTKTgrBWqc+CYQX00EH99TeqGIcBys/nG7cg+FQiyf79syJr0+Y0lUHZFbPkfR\ncCDuq1xiI74Sah61Hhn1gK9ex9xquTyITZGSmjiJ/GuARMOAp4H9wL1U9isKNCG9WZqaMuBlfyfw\ntT+XTklY4h7TFJR26L3sIUXRD8/H7sKDbW2QTLMV5j47QDSdvvZNYxh3GMbeQFq2DoiKEswvbwJM\nszE5uWKarfY79kQgRSFE0GwpdzSCjp2iROggr44BIKIofabZpJN2FD2Ce6gWlL0wiXQRKZAboE2y\nwPEjUCQAINEY37zjq5erXFabVfcSi3sgcpOAeqpofeOJ0k+OBT8mYZohAZ/g/GupqsUp0b1lGHfN\nzanp9OLCwg7DEGo11u7L39wC9YKjgWeb3H8AMQGKiGYTxI6uAisAueL1fF4yzU1PNRHeiovJnaJ6\nRxMCY/uOoS7C2WNduuYRAMRrFjLeuoYBoIr4a3bpzEKQXPz6YTqYrEJfhr4MCMAq9WZYyofIftUB\nIN0qB00ReWu+G7r0lmycSrW9IuJmVQEppO16e+LKlSsAenp6rrnnewnb2iB1kkpW1fL1eEi0KzaY\nlrVNc/NbPyYmqvl8lb5jC2hgj+gqm9YdXNg4MO2TyhGpYpPjbu+hIqn8jqRAjqyIF11zVngF+Yfw\nS4myz/aEIvOTjzafeQbQBdFjjdxnn5spD6UrB1RmgVg5Wai1C8V5Vf1Xv/7rg6lUbWqqWSrtmZtr\nAD8yjLtqtSjQx3lO8GaV+JoIcLdCrAcAmk00ARPgrzgiiE4V7P+7MJDL4beOY0i55ultDF6t7nI6\nXke/j+07hno95QyFtR4QygOyXS6XG4NJJLgcUsu9Rww5+bvA0xdlRYbJ05iy9YkAZRCmwyWfWFK1\nCayicJZbyQwCy8DrtKAuRtuVB4BlfH5XSW1USLUkOTFmBctl94Yh8sqTzwI8nzdTV17B6BYbpFvr\nIYnXUWTyne985ytf+cqPfvQjAHffffcXvvCFn/7pn976U7st0DVIb2vcg1rtDiAGAdhNL+QFoBkD\n6puu2qPra/l8nWa8WkAETGfbaV7LGvnKzQQa8qdpfnYofkfCcclk+tB2kvIv4qUrlbGdnvdQVZUx\n2oGjEF3rUwAIvdzZNGHbaF4BgIerpvBbx32Ld36a3hhMNJ3gkqpeIozahnFxbm5Ilm3LagC7DKO3\nViOE3WuukqqnJqLBxffECAC0rqIOVLlu3EQvEiJaLTQaWPuTAv6kgM/kbjixxH9GMn2/kdxVR69v\ntzpiK9IqH1UmdohYbn5wFnimDtQREVo7+xqRSAtAKxo5//7dxahaJLnRJbqw6KPBvT5AAJaBJs2E\nLlGmKKZnwd87NpVsr1I+WSpR+MVL0+plV1qCfClkbcHEn0gHRalUMnYkC4tcCHEeGHLdLG1gu3tI\nzz777C//8i/fddddx48f7+np+frXv/6bv/mbjuP83M/93K0+tZuBbW2QFIWskv2yz/G4WxVMfkVs\nf8bZTDbi8auu4DcDcZAuxEZHN/M8Jybq+TzhVXaoT9OHXvrGTrPzSwl8O/DeggDApTn37UgK5GJA\nExgEBrnarQRmzEy6UlZ7KmydTpLVAEiNL1u8C6OjjUIhQt+hXkf9AsAu+p8+JbXk87TkOlgisQEI\n1zVR8iX0aOypy6oqZbPfp723smGQtFMTUNJpUnq2puukrEXgLgqA+hUkAKHHNQKuRrmAhAjHgcOR\nWKNQaBQKYj4vXndiKSi6AcrUUJXvQuYuCfYhnJJgAziJIzaklt2HDnaIh+kAdfTGHDHmGhAH4jpf\nVHgamKfuHm0YcmNug0AMMAHzOgqv60AfJTWnBmlk2SDWCJz4byf84Unbk80bBuYBAHuhbX3/3q31\nkPo29JBardbExIQsy9/4xjcGBwcBfPKTn/zkJz/5la98ZWxsrK+vb4PXvjewrQ0SzSHxK8AGINZq\n7hdvWdbCwgKRMCcjuq63eYMuhtetag9hEz0kXXfy+Sqw5rWaDQj0zr5yTX/Ot0OEG4wAnGQ3v2Mf\nfSuyiPbVbSiYs9O//lOZVCrFL/b5Gm4CQdMANNcRleA4rjXiL/pKoUD+tx5//KWAIBA7LC+ATZBK\npUjVVqg75VFaommnTCYzTN9iZmKi/2//ltREEOeJxPfqRK9RcB0mV7Owx80q+RDpA6byuMMEgE8f\nx14l9PzRwRQxJJPJq8n4EZw8gpNs8BBOncSRS8kPHjv2E9fMACkOBLHJrFETgscaLQPz1N2TuLbh\nOh2sA2ZHxXo/Gtx/EQCOnlu4jpcBgLEjWYyo/kXgMPA8IGJ0OzaUtzE7O1utVn/+53+eWCMAkiR9\n+tOf/trXvvbss8+SktT3Nra1QRodRaEQUtSgqu2Jr1Kp6LqeyWRs22ZOAIF8p4TTQf9qkztiZ2dt\nLtmTaotcrK9C6gOAXgH2xlXmfLkZaLCKS/OvN13lH37HZWAIsKll4j9mCxDRe0Q1DJ1lkkLEBQCQ\n2okTJxq/M4HLJhFPb4ZVkgCIPPGE/MUvWl57BoD8DoNuE+l0SSaTvLQSgEwmw+RoGUhwj//6yslk\nOZfbL8vlP/xDULWjBnDZMOatmtKLRC+q6y4RejSCZsARFdMQSdvvswX3/6fz+LTfWzIMg1ij4Efm\n/Z59eH0OJ6NoDGAligaAKhJHcFKRj8Bqux22bYOrYSMblmXNHcj0DLWVk/yiFaQl2XX36KDDDda5\nkWuCtUgAEJF7TVfPX5dTC2AhknK7lyX6vquACAxBa733PaTmhh7SyZMnATz0EC9fhsOHDwP47ne/\n2zVI73GcORM+jzcad/AiPaSVj9+BqPgUDRmzQf9qky+qaZJw/hCQ4uxeAg6tJhOv+X6+HfienCbA\nBf34HckURmaNoBsZRblR5jWNNljCR3O5iKI0/3Ky+W0dF8zQCCNJt1+Znhbi8StjY1fjcZYfqlQq\njKGADbLgVTqd5m0VibIGheez2ezU1BTbs1x2GUsPHjv2j94a5V2GcWlubklAvwB8p0g+t30lwKQ3\nSK0Rj7/IAyA2iWTUfIsYUDvqJ0kCWlhMoJrgmKgGsFJF4qzxzSn92kXbqR1G5OCH2cOrPp0DvrSD\nFRryN4LDjVwT1CCNNIyjry5sYI2CUrnGlWS7k9nhKvSi4drE2wpvvPEGgD179vCDJGtQr28LBott\nbZDM8LkRjcZeVU2Ay4v4QCYaaYcMJxBicqA9uLmn2QASiAxiJ0BSMes2WlE0JdQa2CNAiCDehwsO\nmp1idxEqwc0cnDUajHOANTRF1NawR4QQae+4BrwMDHfwaJahXqwgLEYXCkHToGlioWA/9ljwLKuU\nEDBqGCkgWizue/TRN7NZcul5Aif2daTTabKhqiofzSNNl75vLZvNssrjcrnM8lukz1SSpGBlBDkf\n8UB69/T0cq0WaSLR63EzBR+VBytv+y/58mJ59m4teOcQD1KSJNBEC7NJlUrlQvL7CdnfvpZAdU3a\n20SIQWL1AmRb2SU/6QiQ3HPs8ZS4A4PAItW9Yo1aIi1eIIqS1Y6K9X40MRIzjp5fUC9dwzHySeXO\n9GSM5RTAJe6WaclnFdqR63jrd4xb6yG1NvSQHMcB8P73v58fFAQBQKOxLXrtt7VBGh0VC4WQ35+m\niaAznW9aYfOaYRimGZ7wMMP1a24YfegdRFREg0oI7o6i4WC9qQxGtH/TXCibAOA0SeAulUqWyxVZ\nlry9kFE38wQsLJDYkeC2MqKRSt0tyyJ6m5Ci5XLZqtts6q2VJUMJX5739quP/1z4FegEIsPqCyDa\n1BoluC6aS089FX3qqf6REbbbxbGxK/G2EWBWkJX2sa+GuVBsnDzFRkADgNdsF3VGRq7E472vvnra\nshoCDj3XJi6K8AlmbyFA6skn1A+VSx/yt1htTI0Yz5i9YZdTAfZQS8bMT3A3Xdd/fvHs0594gDwU\nfM4OSUm47h4dFLnBGDeyIUYaxtGeBbVRkWUZ3ipHH1RVJeJhZJ+ZH1hP9KawRq9VghaNUps0et+1\n3/3djq+kv77Bs1evXgUgilslVHb7Y1sbJGJ4ghgdFQ3DCHWPJEkiNKCVSqXwDTraaqJh42oTAHpj\n5uJmXlXlngQgwAKiwB101VsXcaURjS6PPDAz8kB752QymU736fqLyWRybCwkHu8jnSOQ5TPZbFaW\n+wBYljwz024AqvXIX2odA0JSZbUdb7vRUlCUwRMnViYm1kyTDZLpUeKsEZvexWIRgAD0A33FYmNk\nBMAPx8bupoaKUEWwbXZMUgTBxg3DIIV/JNvESvJkWb5mUd9lVb06OrpUqSwBK/ekPzA9vZsQF9UQ\nHQLgLQSgTdKZH83gIc26JxO8hTq93U75Yuj4QCpyJLWR4Wc9Ww8Bgt78u8wHzsu7I2jtwto6xBaJ\n3fUBDwDzVLB+kTa3En16MjgMmCGK9SMwWLXL0SsLKiroAQDC280oX+WAcSKOERucu5TGRUAAIkCd\nYwfvA9aQewDaTTFIxEO6cIs8pF9Z+JU/Sv9Rp2ej0SiA119//cEH22GWZrPJnnrPY1sbJEURNE3U\ndZsnpNQ0CXhB1z1JclbqzahLTEMaAAAgAElEQVQhFxYW0gfl4ksqnDrWueVxw1b2+rpl3xFMM4J1\nYADYCVwGLgP7gAFgSSDFF6qqMm2hjWuxmDXKZrNkCiNrWFJsTfJAvmklfsXKrpdm1jPBVNmN9YtI\nuZygKMLk5BJljSPeEp9o54PlsXb7E1AstoCBYvHKo48uTk4mjh/XX301OOOrqipJEj/vl0ollnMi\n4+R/aK1BcGJlhzIpzauaTp96Y+F+FN0zZufKfe2Z6d/gaxxIacMGxm+tvLdfDXGuY9goksVTgAN4\n0DA/IO+ZlnslSbJtuwmhwQfuJGCR5mzKNHBHuo5EyAlJvksuL1VcckcAxAJd9aToAPf6+PzLbDZL\neKTYBSQqwISicLonU+znQrukQYI0M4nAKsYfQBfxeByBdNH8/DwAEul9z2NbGyRdd3S9CizzBknX\nBzMZwuTZrhxTVZUtpUmWAoB6j42m47FGAIDCifr4Z8VO7tfbRisCACsOUHUnvxUF+0QkIoMHLFmW\nU6kUm1U7GSSe+IAkVMi2pmmkbpsUE/KlHAxppzyzHpIqO3Cjn0/UtJSmiaOji489BkACVrh0h49P\nYpALIzluOQV6n3oKwFKhcGBk5P20jL00NmbRmB4/R5N+zNnZ2dHRUXBlaUC4+mJoTQQDoXn9F1m2\nrJHLP4hnfjDj3jisgZZnkvrLvGVZpfd71Ag74VJlX+j4BgYp6O8S932XrvPxST9WO7KpBY2xDy7x\nT6kEoFQq8V16ROuI59cgHWkApl4uz7yUwjkvj2oMcIAVYC9y90Lbv8HbbiZoDmnPNffcCkSw0ZLx\nwQcf/PM///OTJ09+7GMfY4OvvvoqgAce2BYWe1sbpNlZ0nzhk3225+biqnqesVYDkGV5bGzMxyDw\n6L/LGAtO4UTIkScn7U0zSFdBWxYZcWYZb4mQUgvLqRHL4GfPcrmcCbTyGIa7DyuHIzVmJKVP/Ami\nCxAav1pohSdaZheRC5aZXTeIClF1YkIyTXCJdj71wVcskvF+jqJbBPYXi4gAO4EIDr1cfO2BkRYQ\nARIAqXkoP/44WaeTYB2Zpn25HF6DMZPJkMvCEGqkiR8g//QX8HszbiEAOacAk5T83a9ay7Di1677\nuGzt7i9/1kn9/SpWSJxNhHMvfjPUIIVSK5E7ltyipDr87SKYMQ2NwhHwfidBKpUaHR1lQVQSHQXw\nzOkUXueOwoJ1klvAOc7TCG1jPPLII7Is/9Vf/dWv/MqvkDbYVqv1jW98QxCERx555Faf3c3AtjZI\npknSqQo3NgBUe3v7H3/88eD+mqbx7Di6rpfffAjoDyoqdarfuwEoCrGaCS9xJnDeqa36vXjGBs3m\nIxbSSSaTROcNgTQGm0d842Q+Mq4kgRDRKJMnSb8hDORyUUVZmZxs6HqVZpX4Oi/By88tchTd7kav\n+5hwKAwVi8xckZzX/mJxbXb2xx9/nO9VYuaHeMD8JEtyh/wVCIZKVFVt88g1TuDrE1g23RMKOkkC\n0hfnKtdhkLLZ7GrqHxbdAkgAaCBaRz0YGfWF6eCtvGdVfNd8x2sik8kE+5HZU8Tv9NVYEqo6cnqV\nSsVcxcTzKMwHUlNVeokknPjIzXOPcKur7IQNuxR37tz5a7/2a7/zO7/zi7/4i7/0S78UiUS+/vWv\n/+AHP/jCF77AWmXf29jWBglAB9nn8P5AwzACU/ki8CAVPWDUOs1Nc48A06x7U/4UK466543g/vxU\nxVw6osXOxoM5AMJ6wE/NZC4u1SWDeEgr9KooIBpjmzKJSJomadqAri9OToLKuTI4HOMcsUzsfhXQ\ntk6MQ0HgCsfaX2GhgEKhf2REospXJEMf/+IX/5WmwTt3s1Qci+z5WtB8VxI/lcNeBX89iZM6RBMI\ncZLUenHh4tHKbhVAMpkMyj4Rc7Iun5nHX/iuzzz+YhD3DaKd7g+G6fyndB3YKKDHgbSE8/yErPOM\n+Z3B0kHWmPxkXf3Mk0AE2EuLy/lyxBWgHyc+jtzBt3Xu73F89rOfvXr16h/8wR987nOfAyAIwq/+\n6q9+/vOfv9XndZOwzQ1Sp7aLkF4BkvkHbWwkv8N4/DJcjQLmPpSB/gMHNnH95XTifqid8XNx8mAz\nV7BViK+TZgitB1toZdwuIQk4RE9kGRjEgQFsFiRNu1fTAKyMjlYnJgZNs87JFBFEuP/uBiXmb3r7\nen19UyeBOjBcLDqUTZbYpPOf+tQLuVwTOL2wsGNs7CrNP5GQXScPwxfQA4D7NNynlf9mKvX0Z9pO\nkle5Nb0+RwxS0Awwc/ImXgt9x0U8SwxSaJgu+OVek2SI5B193cQbtDf4xtmeTJXcd3zTwayiPbmq\nGpFUW76PCKXGuMVCAyc+8Y6ivjeGW62HdG0+uvHx8fHx8ZtwMrchtrlBinIbfBoppMKSrJRVVSV5\nY1IxvLBAfme8AYsCzuzsWi63OU7S6GisUFgLfYpx7gXB2nH4TBj/LLxza9D5I/s0riZRBe4DDnmF\nseuY+aGVU29QYqcTSBBPmpzcC9jAsq4vUVlfAuYwNYEoY+C76m5E6FMMVcAEjlArxSZDsrFWKAwB\nDwIoFr+fzVpjY+hclg1K58oeEheBFZJl7s5mrs4AAX5SG1J/DWH2mzcnax0qDch4MEyHDl/uNTE6\nOso6VX2V2QxuksxrqFhpBvnUvowRwYSJ/ClijFMAoADLtOVWpJziDgDkjtwCa9TFbY5tbZBGR6VC\ngSRYB7kFraoofjKB6elp8hPVKG0qmUeeeopF/D1LYtNcQ+gM9PahaTFgKfRo1xRt2sAawbuU7tSz\nGV+zoQCDVEenBSwBCWAAr5YtXS+xC7JZIEE8sr2s64uTk65ahq43udRcE7RNGBB63OqtJhXnYKhy\nHgvznMgGEXtiGJqZMWu174+NXeTabwlYnC2dTpMq+XDB9aM5/ONMKD9patXInJsu3elvlSVcvcTn\nHsR9i3g2eEEGcV8wTHdNuqZOIDZ1dnYWnEEKBU8kwUbYdqlUSqVSfMbIsqzSRTn/DzTdCFpQHqP0\nEALlUAQAjN8UXoYgbrUe0vZter0ebGuDpGkS7YM4yw3bhULs4x9fPnbMncr59h3+5aqqyvIPAYQs\nibF3s05SUcQTJ/Y/9ljIUxvL2h47dix0wgq6RzyFuS+7YDapHhIfBVsEGohLNpnONt0mMQxq2iA9\nuKPr9uSko+trVP1wremGPwSvegbPBGFzNQ68MRv0WiOQwFKxeLhYNEdGamNjlzmzxGxPsNyOJ6ab\nnp6GnM2cD9ctzJybKfelSeCOB3F9VFV9y/pRb4h8LorTP7pc8djIjZNGG1spkvu5nq41dIhbkr43\n5iQRwnUA/+v/U5ly5HZZBzFLDidX0aAjwInP3Awe1S7eddjWBklRornc3kJhJShD/od/uCpJJbL6\nY9YoqCNXLpNYX93HZKDrS7qe0rTNWYWdOdPnyk9EItgpISKg1cK6Mzd3z9zcj6VSyXL5DK9NHo9f\nrtXkYlGmnKUOPbeooqTm5tYs68Nf/OJlsrdPE8G3Eo/vs9CkPYzMJilAFY10UpZlVjRxwwrZ1wlR\n00RNI2aJLcGbOyG8oEcWzb5dcNbRamHNG29NAKeABNp8ngBalEmHgZHpAegvFvuLxVo2W6NFiUF2\n1KA0EYl52uLRTJMapAC3RfrCXNAgsZfvTNY6pQT5VcJ1kgeGgpw5q7q8sYOkUilZlp952fiN5+3e\nFCwL6z0ZY0fSiKTQxylTiFyYjmnUNpG7H+P330prdKv1kLYF4cINY1sbJABAK1SGvFZb5Um+g7Ev\n0uSfTqeKxT4am+AL7aTJyeqmGCRdb+bzdcBBbwzRGBrA5RaaTaCvWFRd9ViXA3WV8qgKQLRYbACr\nwBp1D0joawWRfuzc/6l/H8l9G8f+Z8M8rW/w7rUdMhYAX1ynCiiIChUr2lYsvLEI0tsFMUueoed1\nPDkZBSJNNC4DQIuwxup6yzQTwEsAAIHznAR4Mss2Z40AiMBeQJmZqddqAFgQb+MoGWEqSqZHcE8e\nM/kwmS1IjdoGHy2aWgkdvzNzwZp1S2+uJ2lkrkIXNdOmlrnh3iPxXqt3XZ18CeVq0urXUgPJydMo\nH9TQQLxi1XpkN9xpQ+6TrIaNCNBCfN2q9cggFYpRIIJnzidrl1V9TwYATgMtGT1h7ppDLzr1iiDg\nxE8hd4PGtIttga5BEsJq2GKpFFR1hbkOhCOSl+mjaeHzwCBQBepcq84KsGaam9M3MDvrAA4EEYjB\nXalHgFZbOhagMUORBulZmEqglN7ki26gNwbRNZOFJ1F4Us0+Yo090pH0M71ULhqqezB+vW+iNiCx\nWnRG9HATbJIfD2t4WAOd/Rgiut6YnOzX9QdN8ywwCPRzIgxE7ImAr7NUuKr/WLEIQCkWv5/Nfn9s\njL8BfCBBXTfFuKLgm/mQxgEHld72ZMwTPhH0yJcA+PSQGoiuYcmyrOtMGk28gPwLgKi6XztTPCJ/\nl0hwOoUEsBu4CjRlLAG7AZG7iciN49C6uBjXjewAxFWL0v8+08ujQWN3TQA4od0W1ujWekhSd8rd\nENv96igKtUa04R8A1hGNrrGWC9JTaRiGpmk+9rNHH/2J6emXisU695MlaCnK5tDFmyYV5mzLlTap\njWGTRJ0+ZIOsapqbLQQRfTFff+vM32XSB8vqPeGlZcs12d0zsN6PL9l8c9SttElhEDRN0LSmrt87\nOTkALFN26bO6vmaafNki+55iwH5qn/g+4MMzM0vptNwhbcMKFAk1EQaUcuLjqVPPBPeUL9b4V5EN\nkhCanp7eIZ0eDNNDWsTAdVoj/SzyrwD3Av1AC24Zue++ANfAS3xD8hR/E4HeOCItquQHfRBpxUgQ\nLfqqJk58vFtT18W1sd0NkssP0Et7Jl19B5hVgBZ5M+ZvX047m82WSiVglf5kPWQGhYIxPn5QuzEK\nUg9aANDivyleWA3tgIhnsMn9p5ClQIE64GCulA4apGQymU6nnzotoUmDgsQZmwfWAAehPBG3lU0C\nNUsHAdZ8uZc24a4Bkq63TJOQ6YG0NAMILC6iwI/NzUXCyDtAg3WMu2F6ejq9GqgFcIAoJCckZEeW\nOJZlDRqNRCpED+mtyo9XKpWpqSkPQ0QYJlvAx7nHKWAeMMmF4MbZZ7O5pxzvbk1uT99gENEOTwkA\nkNuP8YdvKhfDxri1HlK/TzixCy+2u0EaHUWBCJTwc0gDxkIKgqZpKgBJknwabgBIb2ylUuHSM6K3\nOKI6OXnqnRskV7TJU4hOHrA7u8k9jHj34V4miugPBCdFoInaSkjjLamkSkVVHEy1p3MAQ8A8MI+4\nENJTTBJvmUzmhhPvWw2+cq9Jw3pkYcKCVcHK3OFi0VpYQOBDeYJ17GF/Wl0qevYTAQc2/AXl4KpI\n9sjnADQh2JDIpBlDXUDzTvnNt/Dj4MpPQtXidQeFoPThMLBGc4sM7EdPfEO+e8t3+whhg0F0mmMF\nnHgAuaEOz3bRRQDb3SC5U9M6/EmS9UjxBfXx/9BOFxHwpDJkI52OFItR2ozex6VZDnGiP+/kDFlc\njpkNkp5nTaIiraeIcoMCDeHTiFSvCIRQ0iGK+IBrWkjllW3bRLwAQDxpYSDwqmEA4WYMlNKiXC5v\nvJy/HUD8p6iuH5qcPKvrddMc6Dzryk8/jTFPXTYfrONpFNSjH8epAuAv3lTLxYXk0UpcDSXV3iVf\nqCPGr9xtSDHURcnf1kQsEzH5zDLNEhcn+P2mgFXuvgB3KxHfsEnlG+3A7UP29A0GEeYe5YYxfgja\n7UfAdms9pFho130XFNvdICkKtI9AfzYkSTL33MoTT3h6SkIjUaraA0RoyM6hhq0ORHU9puu2pr0j\nIRNFEU6cGJyYsDnzxihyCETuYdO7D/f9CgIiwBpwAQCwj7K5cB4SLwRONhZaquv78TNdHRhGvNyR\nT3q3fH6n/F+X7PMCHjjdPAjgXvv1/mULJ4Elrse2xU12ZKajb9FsQCDjnzuOlHJdV+pGIWjafk2T\ndL0+OSkUCvzs6lmkFAoRRcHx4+xZRiXFKN0IyZv87d8HaC0AK5dXgCjSb85V4qprt1Q1lUox9lIH\nYiMwS9YRU1KKpmlBuUiyTiKWSVXVV9dl7JLdyDP5DBJt/YHXZrA7XeKeEr278XE832AQ3MFzhwBg\n/NANymV1sc2x3Q0SAGWI5Wr5+aeFln/hF9onGI/vUNU+wwiyejYAe3Iyqmn3v8MzzOUkRREmJx1d\nF00TtLbbgcsMLVAuZfJwjRoQsk+fayYvADXuA66I2BdBArDRqaIBQK1HbtdoMewF6qg54Yb2A5m/\nuzvzj6/j3gUM/Q2EB5xvfmL5b6EDOtfv49Ccuejdpmjfl39dwOfy+NxxbDFimhbTNIyOChMTJILn\nAI0IojshRADAXkc0nxdHR0Gjc+y1jOeCRCy1U3MyKVozuTeoAgqk/hpozI2YMXZTnbf2xcPYg85Z\ndw0nk8eOHeukYkwcpvIRDUMyeAr2Br0RfPdFk0rERoEhoEqf4m8idvuQPX2DvBe5BjTfVXaI/KwD\nbBo3Cd0U0oboGiQoCrlDHdpAShbwCDDIhIDEXlS1xzDAFb+1wzSFwunx8ZT2jiMXpP1G1zE5SQaI\nK8ECd+Qd7XK5alkN2v0B2pTYrNX6DEOAb7p6S4QkQkT6YNn3doxUJr7TareScD2eiIVHb+5M/tDK\nWH+K/8BGXpAeEk85mj7b7vfhiwR9BYMEvjbl/5bHg6N4ULvhq/c2kMtFFAUf/WgTQC/6ubOKRuE4\neP1LX/rnL3yBtwpB9h3rrgyWijABkdO7NQET8qOHCVcCEVflX9VJwvyc9YPvzbgVDRuYpfglK3D3\nAQ7i65baqqCBtKq27wsAIiABA0ACWOEahuzA7SPSY/KDBA2g+S6xQ128G9A1SDDNFp0X+YZ9FIuI\nx3ePjV1EWNeIqqpMG6lW2wkAaNKuDcZrJwKYnFx85waJQNNo0gsINN6IgFguN0IJmKenP2gYYa0x\n54XMxy4FPSQ2ydZ2yGgBK76uX0BEvN9GQBKpkWr8Mx7yDepHNGX4jKKb7mO+SNBXMEiO38dWBUAC\nWAP+evImGSQAmoYTJ/A7E+I50/eMKKLvQi14eZmsn9urtGziuf8Cxau0lQBMWP/0aqm33fXFs8l1\nkjAX7EPg8kbELAW5Vmu9cliHN+J1KxfVs9ns7Z3Ou4m4tR5Sd8bdEF0HEqOjAjUh/qLbmZndwH3H\njh1LpVL8NMQr9cmynE6TthYiy1wHzgJ1yt1ge5tethaEgDmY66rVdtMu2j7Pl95ojH20zRgbfGG6\nVcaK9wOdBapAE7VISMjuvLw79MROPvzB9rKaLxL0FQySCN7rQBVYAVaA14nQtXntD7+JyOUi/1oL\nfWboQMp3lbLZbCaTIUyjIJZjpWHdk/FYIwLF4wjyUkOgEuZNCHXEljG4jEGSfv+x5L/NZrOELs8w\njJmZGRIt9HMIRRGSp48BUdz+1SVddEHQtdfQNMGlTHHhyWQXi6KqltgyVtM0IvjNxB1mZ2dV9RIA\nGl/3L710fVnXlzfLSbomgqIA09OZYvE+bhe+vb5lVaZ13V/LwLC8LoesJetAP9TekMzTKuVDiK3V\njyyejK1dAKAPj9YHY2D9PnyRoK9gkKQ3fGIgVWx1XUMQkQ5LtcicLh3OWPe4loBVNPjIvzN7k5kL\n3H0EN9RpH2oHgnkXh7S+lnDhLJd3siFFy1GrVNc0d9FA4nVMF5jkoogKRhjpPCBATsravdo7uhbv\nMdxaD6lbY7chuh4SFCWSz0s0QkTU9kgyqQGszs29xlsjIiFKmPlJY6xlWfH45VyuGo9f6USiMjm5\neLM+DQCkUinm9BhGcuZbGewB4kCcrUBIKQRGMqfVuzZSDq2td2hxXUW64c88AYiWowAeWHz5ocUX\nGn3RpcE7BwZrn3/+v/7M83/lqVpHWOAOgAMkgHtdhQsM0O1583o++Gbi4VF3QwBiwCAw6J5tujTH\n9mIWghf1UFU1ecHw3EcN97aSmiG9saT/uop501MFAQCNVKOKeUbHTuJ1rPWYvLssy5lMRo5JqCNS\nbfXC2SWu7RLXItUW6pDvuF2alLvo4proekgAMD7el89LwFLQohhGyzB2qOpVshTlFcF5UbuRkVXg\nrULBJzXr1krr+pppOopy86RQSIqrVCrNvZ7GXdwTREb6AkjT0tEHiXyGK5NDun09fhIzG3yqvAl1\nraz2VWRZHh0dTaVSrFurt9Irwjk9dPA0baZ9HfcOD80/NP8C5mlYtOEtEuS3o1SrnXdT996KdeXD\nGhDKuwtpJZwjVZZlchmTFxfkVSN40eCgckdIvzDJD/Vk3gglKe1Jn6voe3gKDJJJMgyDlIy7C6aP\nZXv7HHF/+waOSg2nLsLpSvB4cWs9pO53sSG6Bglwe32Uxx4jnhCZBVkHW31urjU6eqcbGKGxe8Mw\nfExCqmoBe7nQX7uQ2TSb73vfC/m8cvy4svWfxkUmkzHOJIuv7IVdx5UmAOyJQRAQA9YBJ5LLvUgk\n/ghLkGVZhAWHRzpaLkbV4KSsXqkAIP4iCRwRXYO6VBXhAFhD3yKG1tBHtgeHlw+MVM9HhrCfBu6a\ntHM32t5OrhsyaiHUecqWXaZOGFKQz6OQ94/HIP+7MaI1RSzBwsICidcRGIaROTedCS3NqEO+VMMd\n7pHIZWcrgB3yOoAIWlE0ImgBcCC2EJGTO8+H0TL5zFJf5Q3xoF9BWIw599hC92fexbsF3TvVRS43\nMDk5oOungRh40lBItdoK84SIDxEUagMQj69/+cvSl760DCCUgCafN0dHY5slknQ9eOZvRLx5ql2v\nbdvYE0Msht1Qh5ZGRkyyG8tJBKEkwsKQMQw6nrpnRmnTq15aBOYxvIS9H8aLA1gB8C18AkD2g7Mv\n1MbZq8jE6staaa8UZLMY8o6v6Dip44j2dj79O4ZIuwCIdNQ+d4kiX66BeirsP2hp4sLCQrLRwFlv\nE9KKW//NFCiYyF4ymSyVSoZhtMr9feqiyH34KBoOxFXDjauHUgUSs1Qul2d37Qz9EGWx0f2Ze3Br\nPST/mqELD7p3ahvj40O6vhiMGRlGzDAuksqF0N5Yht/+7SOG8cr09O5aLbytZnJy+aYZpImJcuFP\nFrnuoQYg4kIdoghBVNW2BSJac2SaI9uWZZHCjZcuyugJ0ZrDfZq2NwXOPwBgGEYjVV7GoALzc/hv\n7Pgfxovfwide6/sAf3okje9zNMsDafUUZYGTgEOUTeAk8K3Jm22QZnT8C/dwBdgHJFB+ac42DJ9A\nH3j79I2n8VIgzlkFEiACfcSKsItGVgM9Vo8YMMUiHMfqoVrt4FlWeTmMVCq1h0g4BhAROnEhddHF\nbYeuQWrjzJk6nf/8MaO5uV5aStems/NBlmVd10dGnHj8SqHQV3OXwiwL0QTsQqEOzAM4flzZ0pTS\nxISZz5v8R2hTN1+00SOm02VN04KzKvsso6Ojs7OztUuym+DhC8ZiMG0kP5gkCXwALHAUKffF1KWP\n4e99B/wEvvU39mf5QkOS/PAFCStx1X2XI8ARALQ97D7grI5lE4PKDV6Rtwtdb/1/us8K4y1AQuUu\ntUSNKLPlvFFvywgxkNTdKsr70gio9BJ0Eui7Xxt4QHucXCti+3mXFJSC6GEIT6LRakYadvRqMwKg\nN+ZEhNbD3d+4D7fWQ+rEmN4FgK5B4mGaqzSh4V+oFovRRx89MDb2PgALCwuhBonRrarq5bGxC4XC\nLk55ps5+AYWCDaBQqG5RSsk07YmJ1wqFswComg2B4xZZN5uf/1xJfX+lVLKz2Wyn46RSKVVV0/9U\nLtZVV1mJ1ROvYd0xphZ11hzDLkhPZXcKIdV3AO6VXl7CR9jDoJwHAGtXvDygpmC41sjkA18mfuN9\n+Jk8fmbLaYQA2JOTy1z5NJPkxnmUU2m2WzDaKcvyaLWcCmsJKq+pnSTMQQX6gmzfa1gCH5rjGp8Z\nnR2AF7SHnL3qer29ymnY0d6YsxjrekhdvGvQNUhtjI7uLxTmO61hnnrqvCyf2eDlrOte07TDh4VC\nYdEroAcgQpnFmgDy+dObnlKamDiZz79OK6YBVIE+bq3eAMSRDy3+9v+2v1RKEuK1bDbbSb6oXC4v\nr6fc0+dXlDaKtnr0ngUElvk7rJ2DZQe0C9OBWEXCgQhgANfVIGwoR1OOAVAuOF9P0jfzGB7FsHY9\nh7phLE9M2IUCKQYgfc4xatuXBtXKXa5RYUzbxM9jpQ2VnmgqGOQE5MOHk7FkMF1HXJwVqW8efx9k\n+x5Gu4cslUpls1nSeEAq+litzWknsl4XI0Jrp9QgYbr1urheF0+LTreyy4Nb6yF1lwcbotuH1Iam\nEb3Q8FumWBQNo503Js4Be5jNZkkzfDKZVFU1Hm/mctV4/CoATke6BSzT1XYUaE5MmKbZSf/57cE0\nG489diqft4F7gSO0kedeSn5A0AKEox8+Q9RvSeyR9bj4QKR9apflsGZfoI658+ngqwDYhkI2ljHY\naEYP1U/dv/zq/cuvnt0bu5w5F9zfJw1e2ae6cdN6h56k5yffxnV5+1idmFjO51eBFSAK7Kf0G6Sn\nqMKRIzAun7GxsbGxsWPHjpEmIbVV8Tazud+A9carocUjJJH2vdK5OmIORBPKPIbnMexArCMWaYut\nAzSaCoA05LIDNh2hN+bs3m8jhiuScEUSdu+3e2POZbvbivn/t3f+sW2cZ57/mqZHE3lGpiXFJseu\nwji+kbpJWjfMpqWQrSa9wgV2pe1eAmyh9LAaAwcXB/SKQ/3XtcBZAnq3e0Bd3KH30wVWVHCoDmjT\nLU68ousu2vEhK6ZpmfiSNJVZxx0rKcnYJk1paGVE0fT98c68fDkkHcd1Krp9Pn8YNH8MXw6p9zvP\n8z7v8yXuGShCahKPD8zPjx87drGL6wuWl+/T9S0IFbf8IU3TWEOX0dFRNr8kkwB+k0rt9R38AFR8\nTwKXRUuW5T744KumGZ72OPIAACAASURBVD15MhqP3/nEMTdXnJ1lfY/YXF70SzPYDd4SKfzFL/5G\n168VCnW2sTedTnes3eLX3Wq/0mWzL0oVpaUa0ccpHAAQQWWssoLqjqKy35VlAM8WF8899NFX8p/b\nWWhpLxSQQ2f3UDY0mUAaYXQ4fhRw7fc6H3eIa9v23FwxleL3sOK4qN90VAHyo00ZZju9EoK1uaqq\n6jtZ/CYbLANxvQL3WCwW6OnAaWgbNuK2UOFeRDQO24atY5x9I/l8vv3lbAVrT6QfETiCJXANUl/E\n3VFp0HVnCyxCWtumd9+xTe97j0CC1IJpHgb6jx17SbivHxhh1Zql0qvAOttXL7oPNNu3ALFYjLft\n0fVrAISm1qxtctW/08ukpFKVVGrDNIcBnDwZicdv90ux7cbCQs2yXMuqAwqwIYR3Rb9GrQoMMIk1\nzVXTfCibheM4+XyeNRk6e/Zsuyaxrja6rk9HtDNvdHn7Lsuzm45ayj56+OG/KyJqH4zz+4tKNF6x\nYw/84nLhiVisQ+aKk+sfTyCN4U4V5xXk38hr+WPeL/fuuSXl5+bWZ2e5IQO/JCkCin8eLyaThVbT\n2Gw2y1JnzbsunO2wj0oGJGifflYzPIs/1guRVSgwgbmm7rbb9lvZiL+Yz9np04H7A6t3iUQiqd73\nA4SFbvVAFJuSfCjS+eqKIHoQEqQgpqldujQ2O7sCABgDxnjVcy73KctaPX58DIKXHYTVo1gsJmbA\nhobeNc3Xl5YeKJVCfvNv3vmA5/VZrwIplQIgpVIbpslM1qpAiK+fnDwJoLawULZtb36x7YZlDfs+\nFGzOdP3cEqMMDAJVQAJqpllMJtfZ1TSrcGP9QEVNmpqaglCIrGna6z9dgjzlOYfyHwtr1rCnq6LI\ncKtQ7Eg8cL8diUcvX7qMJ/jZY8swgeoG5+aQVTcTN5ZUtPZEsIBz0CK52uu5chm1LUj/JRV9xvT2\nCZ08iXjwHW+Hhm27c3P9qVQ/UPRTg2Lj9zKwD5CBX46Pt788m822CNJlu4OOuoAMZ+gx+DrUHuus\nOfd3HN7l6kgU6/BFSMwV67rO1pPS6fSrk3+K63twWfBRXAH24c0o/Y23Qn5IPQz9WDswMzMyO7sC\nDANjgRLwxcXo6Kg7MfEiv4fV+zJBak+nfPGLsaGhlaWlmO/gxyIYftrDfhKv6VWXeq6MXSFAwZaE\nhmdolEqte022geYqubfMEhVM7pjjNHuaZxeaSNycnr6hqusAFEUZHR0Va8MCmpRIJLg8WJYlAfpg\nPqdowV01VzHc13VL1m712np4oONDG3JzZyBbPQrYKDByjSR2wECqeZcNvAhEUSyi+A7gLy0Vv5Xy\n4oFUSpqdFR1du1Gz7fLCQs22JWAfUE+lWL/3hpDfjPrNzeF7eb9qmlf0DjVy7Lyxz6IoinpzSHWD\n5QwA8iE9nSkgsxh4Oa8Xv6JXgWvtx4/oB6djH+1Wnc9rHN7+1Tvo3wPxrEtABQ0l1OwiSBC9DQlS\nB+Lx/vn5x+bmYNsdzGRnZxsnTlzjUxPL1zEdak/u67qu61nT3PjKVx72umSj1mq3ILd41fXJkCNw\nXWy6vsy0V7nVhIwfTynV/abZkmBhXQVgGBc0DWxohUKBOffwrB2EBuFidz7/XBi5vIZBYJ8/atd7\nw/NlLYlglR3jcv5QVPfMTwO9cDbCffxpYuV3YHeXYRjnf1bDlVTzoLbXa4KpEZtjxWxiGVBmZ8u2\n3QAUeC5OTKsG4vEN21aYPtv2hmUB0HwPd+7P7vrNXS8AVT+6ZO/1hmnuePppdEkz8tXExK+WtF8J\ntvfiFyVkOFnTIL4JjO0x2nSuweig4lKujFjHt/XOG9OkoSsORtu2MMuIr4MEqQXyQ+ph6PR0xjRH\nzp5FKsXUyPXLEFg2pL68fIB1gVNVlbUW7XYcNuMMDW2a5urS0lCpxLtbsxIG9q9/ZzgMWUa9jk3X\nfxoXpACuYNBXBhRfh0KC2ilA0TQv+j0BACCbzU5PTwMoralzp1BbA24AwMmTGks88qeyln1zlh+D\nifuQZCCCUq3rPHel8NBh/EMZgzJc1n1AatQGa2WpsVXZWFvb/THnuufCwNRRjCybjWuvS5ZkJraW\n1JslAKgAYVSrzXcJuFexJFsklYoAduujEWEvEcf25acmhKhM1Qf9dCfjDdO8mkwmNA1CqjZQ1QIg\nVsolfp1ubv3yG6oGnRT9D84Ca97L7l2ts5XUZWwsLi7yMs52WN3dNy9Wve1iYiAbhk1FdsS9AwlS\nVyYmkEo1hHqE5myWyehDQ1tTU79gFVbt6/OJRIJlonjtQzJ5dWhoc3n5/lyur1TipQch4d8GdoYB\noM6vpbm3ekd4j7KacBCerxs5ejT/6KNZXXcCXeMsy7J+/snFxTiqDb/JdiiVwuSkOuWtuHtlhADs\nOhDtsA+pueW3E9edvW9YfxoxzjE1irrFqPsOe2hwuHzoz17N/mIy+4upjqcuFovxyEn/i3+X+9kj\n6lvPx2Ka+mQJKau21fzwIqyNOBtUwGlR9rcQte/GKQqLb2Gh0StfxANQNM31ZBJANptl7kfiUMX/\njl5fxkHh6Ip/3mpAGIU9zXQf6wAkBoWJRIKl7GS4UXgNam3EXcgbSghAOp0OOvL5sD5POJAIfils\nALTxJQD5IfUwJEhdMQwAYb9om89mXhlTOq2Oju45flzn+ToGS6HwDF6r67mj604upy4v7wWqmUzU\nz3/5XnVMU27yKYTd6NZshD9NEZ5WB+rJpDs+/o8TEygUOiQST58eTKejQsznhWvpdGJ0NM963OVy\nObawsbkBuDqq6HDh39omkq2g8Ak6n/uIpJUV/Q2lXo2676DqJ8IAHEHi4XT+8mjhis5fKw7SUyNd\n1zQtG9ILkpmIJxJ/PIT//qCyG+Wy9zWI8MpFCO3WIdzZ7Yde9k8fk/eQfwQFWD969K1HH323deMR\nv10oFEQjxNj1nF7OtLT3ZhaurvfNJD5/Qg21BNPsI7P4RlXVNfXaFbwSF1pTRFG0Ed9VuD9wWgIf\ngdXRDG05iKA/tPEhabU/tAHgvDu2EemPU5Edce9AgtSVeBzz8+FjxxrCWRJrr3Dq1H5VtScmbH4P\nVyO+UM96aIrX0ZOTMV3PARgd3VhaeqBUGm6W3t1wAQk7w/6sFvbzSYE5Fv6jDC5IG8nkxfHx3+i6\nA3Re78jlhtLph4ANINS0nPNZXh798pcTbMcl+wj2gIEwsA/YAAYAGdjn+YsP1ari5V5AfQGwdSOl\nXsU54JzwwAXgCEYfXC5c0dl0LPrb8tY4zGOQlWA4jmM5Dp42Hz27hEDpHQDhfKFNq8LeYDoT8FVn\n30QVWDXNXU8//W732nQ2SBYkqao6+vNlvCos3vAdTGwh71/M50JawCKW/SpYjRyA/Yk98YQdeJc4\n7IYT4tdDTHvEnU9s/7KqqrUDsVF55ZB8sYzBGiQAE5J10T1kY6zbR/gDhfyQehgSpFthmqFLl5TZ\nWZY0E1NB3nrS7OzlEyd+w65ZPRfqbNPvXFVVwzAsy+KCxPr0sCf4SbytXO5DpVIYkFGXACAs1uCh\n+0+YPToCKMnkG0D1mWe2VHXlFh9naemhdPohIQfIts02fwN9fbqmtcQBiT4n8w4gtzoSjQASSpff\nY618Pa8N6ytSfqtFjVi13tuI3cipO0tAsMqOe8OLd3pDejypPvxI35kz13+a7Su1yBKzR/frLSC2\nKRWD0HbabWxXgQssTdddjfioEolEOp3Wf/xt/WeZ5gPsKqLoLecsffRE9a0+5w2LPcjsowILSADe\nxoWO7yJpZeSaq0d8i5iqqlyNAPTV7YgcerX+kWpVuVEPA7gc2XdQfnsIV4HhjkcmiF6DBOk9mJnp\nn51lW3kCzntePdOpUw9OTpaOHwebm8QLZwBs5yN7mWEYgXVpXXd0/dVcrrC8/KCqRhynBgmFsm5f\n6MemiwZ8O9VhP1PmkUxuqKqsaWPnz+fHx/+R5dmOHz/uOB9hraDbewHkcnvTPxhFn4JQGAA262gE\nV4EkKX/6tJ+DisUKhYLNTHTH/K7bTMviQBT6ZgGbtzp1rGVDsLoAwDmgAhWlaeMr2cZktjAVeCFL\n1sG36Ob3s0WU7JPGxcXFB197reo4ai7HlIk3aUdbTRmvD+mIKEjXnnnmuqqGjx69CeCWPiOMQqFg\nGEbippPIppsV3qzmm61KlZH7o2RhSIcf84nt1XVdVxSFR4Q31S0ANUg8xImiKKHWUIJJNxa/sjwn\nq+TMZrMHNq/838rEWkVohVdVqhHlzyOXSZBaID+kHoYE6T2Ix8Pz85Fjx2pCWkgO1N2l0/s1rVEo\neFM5u7pneZjmGkMsxrP/XK7YnKLrV3T9Cq+DKFzO/72loV5Hjb0j24pU0zQ1ny8AGB9f0/V3DeOw\noqyn05Y4WlVVeZVawIx8+eWHoQpr7qzM+Qaw2/8VrMG2AeES3rKs0jkVkUDXbaAIxFEaVIOFbq1s\nOupF61P7S9/zIhYZOAdYgOy51eGHSMTT+dFR7SPTXHhYWNk+fl5m5jiOo+uv6joANZe7f3mZ3Rgp\nlYrAVSDS2m2h7t+50bIvCGDRJQDg7WTy1+Pj2vQ0y4ZF8nkxi9gNVjqfKL0e3P3jNhvZnR9q7qXN\n5/OKosCvvQSgadr09DQzgA/l+4u6XBTaJZUxGEXxj6r9Hcta+Mlhp+6tXfvXKpFAc9W1SuScXKM0\nEXGvQIL03phmPxCemxuw7bJf5hCsuzt9GpOTB06c2M2m8nw+j9ZqgqpQsKxpGhMkcRcqMxcoFAqx\nfTnzL3O3bq4DfxoSYdfL/Giiz3ruwv7M8iHc3ACAPhmhEOBvyeUoiB9pzvteM6SaBhe4DIR5m3JA\nBmyUJEXszNbRJupqbszZ92wMfw0ARcAC4q3ZPxeJ66+p+kn+cRRFWVxcFKvPmdMS/IBJfBdH1x1B\nmbhpuAJEWMGCqgKoOg4LMDf8xJ2iqpLjrAPrwK/Hx9mOVx69aprGcq2Bj8NSsuIAsv/tG9p3Ui2F\nDPDrxxvIHUyO/tnxUYB9BNHHiHcKhx86/zj/crGtorKI6NP6E29m/183Z0h+/7o70DfiSgO1Wk26\n0QgD2K1Va+vSteogCVIL2xsh0Z6wW0KCdFuYphSP73vqKZvtQ2qtu/Nyd+n03hMnHulm5SAiygaf\nbR3H4UI1OTnZsX+BSPsMJQoSP77jOLOztXT6Y/4WJRe1dfTJUOT2eerMT7XcKjQNvKhhVMpnKrq3\ny5RTA2SM92uaVuDjbK0n1DVN89JT6zb+9q8B38Uh7j+pDqwDG9BWzziFY+pwwtk9BKEQnFc5M2m8\ndcjClQlChwUJ6FPV6enp06dPN4D1W7y+DXbqAt+CoijT09PclCjx90uJ/5MGa+neJxQysPdu4PyB\n8YJlGYYxNTUlWhkxZRKNX3Vdf0PfAM5JqA2iLKEGoIhoDdJ3cy8edm7D1i0MyHCKA1gFM/qojUl9\ng+7Nu9NNniB+F5Ag3S6G0T8/PzY3l7dtt9X1jv3FhwHlqadWTTP65S/vfP31s4GXd7vCVVWVTcHc\nSkBV1Wq12tE1h9WbAWBJOX7Mbia2ANLpROtMLgEuNl0oYa/QXGpZ/PjP8w7cZl3GUJ/TbWPu8qv5\n5OWW+TqRSPBOa2zOZR3bYmx/a6XU3CXDLL0bXq8+9a3np3/2fHZ0MvvoFIS1FiYJ7eaqtwMLMR3H\nEdvgirTvbA3A0neiJrEwV9O0w5LUl0odzmSaacAa0CfsbArBGjcL+3UAlmXl83ld13l2jh0tEDBd\nVatRFKNCGnQQ5SKiG8q+2/m8Q1vO5jkZYlHLKjbH5EOPU913K9sbIXXuqEV4kCC9D0wzGo/3P/UU\n/6PnjYUivKN2KrWeSoWSyQempt4cGnpXfDmPYFhCD4LLA4TIoN1KlU3NhUJBURQmPB0r08SsIMOy\nGrOzbT5xLKO0WcNwGBF/OQeADVTw2i8dcZo+39Dgtrnk1QBgqFFFsz2SDsGhJ+goEU5qY0n13UWc\nswDA9Vd1+HJJDRhE4rW0er0Ec5YnG0VVDmzvBW5l5QBgamqKFaF128rKb/DjsKhFjDLFPu4AmK5U\n5+bun52tA/mAmeymV8gABfkjRwuJo7wygodELFMX+PrYozsTO6OJ4KJcFMVBHPr05JOqqvKSmY5c\nub4Hq8L6HAAbWMGbWrjVUIm493jhhRfefPPN1157bWVlZW1t7etf//rHP/7x7R7UBwIJ0vvDMAbm\n5w8dO5YTWsax6WjdnwZWgVomI2UyDyST+amp60ePHmHRDBckPsEFyuECe0s5rPkp3+jTLR4S77RX\nMffvG6nn6rgvhM0aGo3WxmoSUMMYoAkd3x4D8tD3trx76abakmcDa2gKFFGqKUyN8vl8e10fayve\nTNwBGDsK60GvE6wsqFHRF7ky9NUMrM/knp62dIM9yNSufS5mJiCLi8FepQzWkYjtYRLv5PGoeLqm\npqbY/h7HcRYXF1lVCH8VP0hfqRQ6ffrC3FxVuFyoCmayYQBb3slUP/fF6T+ZYuGd00mW+P1sqIVC\nwe1SItLA6tmzZ9E9yPaedjmEOKTDtb1KWQrXALxzMFq7IDXsEAlSC9sbIUXupFnDl770pevXr+/c\nuXPHjh31et11f2/zsCRI7xvTHAYax47lhdbdLIlX9DqAQmZZ/ExGzmTkUqkxMaHw2UTcQBpIGXWb\ncQJNAbo9jZUCSwP63GmkvgsgBEVCDZAkoVtr2OtIcCAMua07aRSlvpZVqFEpn1H0QJ8FpiX6jUJg\nlYWFF7x9dXB8WhxfnscPjqEuFL9WfUEq+udSgf79RTxu5//8eGLqGbbbpv3DaprWvhW3OWzBRk+E\nu4SI4VHgIKxsgRcdMME4sLR0IJ1Gpy3KFd8AOAygASiwPmHmflnQb1hMTVngKH7pTMiZJhUKhUQi\nMTU19bzzP95CB0fddZRl5zYSPRL2HykOR65WodQRBvBPlNxVZRgrnVwUiXuKr371qwcPHnz88cdP\nnjz5ne98Z7uH8wFCgnQnmOY+IDw3t8rdiYAqYHdqmRY+der68vJ9wKF4vMzLFrrRLfRh06JIxzjp\nxH9y0lmg4cuiH81AlnGjjnrdb5FTH/rQu6WiDPBeSGC3SwNeGRBLZF3dUHEOeF1o2fl94BHgCIY3\nHHQy6bkVR01EgO/OoWx791SFDccRgNXJbUH/h4z+YgYvnM3n89Wkgb1D7R/8FhEDO108NcpoT9ax\n2+3lEqzrOdvFvKNU2vf88zfOnFkFXGCk00blKi+e2gnrn8/m9sXQukTEUpo8KmJCrut6LBbjpYMH\nE4ffwi/bPws32GUFkCwP2f60B/YX8hEpD433Vs9DG4isP/xIlUq7Wrn3DJGeeeaZuz6O3oQE6Q4x\nzcF4PPzUUy/7cRKr4QqcT5bOQSYTAqTPfCZkmlcnJlbRtqJ+6wV2virD52J+jT85OVkoFM6cyS0v\n6zk7lsv7pcv7/RQdN/bZJaHOTH9gmsvn+w5mVva29kICykA/8Lj3pgBKV1XYwHDrrlgbiAJPGsef\nNN73iXvCxEAcX3uq2UKO96FzgUsAgD4/yPxxSmtg+sdnco8kAZx/9lljZoZbIAbm5UANOtoC0HYC\ntSH8rO4qlaSlpZ9885taX1/FsjaEDkPngCiCxq7cox6n542/MrVcDn6ptzgMXey73jq8XC53s7CF\n6Q6DDOX74RcuBtpQiaztvc+FPCDUEkqouZAvyxskSMS9AgnSnWMYA37dHfzZWrz84b2XmzuWUqlq\nKnU4mew/depgLObw3UjdBIkpEM9N8fwSe2GtNvStb4Us637LOiCsyQAAysB+vzEQM/Zhe48Q/uY3\nnaGhd87/6GCHXkhA7mUtpRg4DEhAGblCDCXgdQB+kFQE4sDbsDs22Lsdxgwcn8f3jnnH5PtXWTOg\nsK+jUcD2JErPZLx/s1kkEpAktAZAsViMLwUxNeroCSKGlbFYLJFIxGIxXo19X6l0xLKQzcq5HGv2\n1wAk4JBfFQhA9svXxS4XzNIK8/P4KxN+/1MeFbGyCLFnR0d2OLtC+f6GtiHeGcr3swiJJfrYR+4Y\nHIfCDbltG5MMtxEmNQpAhki9C52d3wq/7u6i30FNbJnG20wLOZ5QGLuUzMuR8SeryY/fDxxQ1YFM\nRjt5Uu44y/Ddsuy2bbtLS0Ol0i52rExmELgIjACdKoPf8W2S2IjqdQA/+UnYMGRguhR2MsvsMH79\n3TrQAEaQcXWc8xtE5IFiHTerkOpYA/ZEEA7DBhQYv83axCdNyMAP51Czm33oGDsBxfe8uMTPG7AL\nCKG2mPrjVOpcMnnlzJmtfF73P9zBU6fgJ/FYAwU2+wf2t4pnOJFINGx7cGHhY8vLRccJl0qDuRyr\nm6wKJYmS37tJ3N5UbBWkQdMMz8yw/vABeL6OVcDzsKmdG7HrTI3CqCuo1iCtYmRdG9g7/ehbhSsA\nXnPs66O7MBrdu//BVy7ddBsyQhjackr3qahitW/vWvU+z0IjBAB7UAmjHiL/CeLegQTpt8UwBubn\nR+bmYNurrS3TwsK/AIC+COQI3Ao2K4CcyfAOcSup1GAy+SAQAjb86/IQgDNnBvP5TWAvEKrV9maz\nNwD4VV22P4uzeoN4h9WNa75BEIAb9fn5fsPwxjP5J+q/4mV3FWDNj6jgL9OzbJ43Wj+OqVaxJ4JI\nBK/jgau/3Yl7wsRgHC8tABa+bcM3OkLIzzDxS9g+75MVXRQ3UQHcTEYBDnndedAALo6PXzbNa+fP\nDwMh4IVUahCIqurWmTPxfN4ZGtpdq606DvsQ+4BDqhpeXHzbslizBgmQ/Y/Y8A/LA1vZq0v3TmSo\n1aJqZH5+wDTf8+Oy/hc8bDp//nygZp2pUQSVCCorGFvBWAWRCiJQN6E2ixpsN37JjXtrWbJvuTQo\nOA/7VKHsQSXU1U/rD5btjJAk6XPb8r73CiRIdwHTHIzHpYUFWNYF2+Z7JV1vhyQjLEOOoO5is+LP\nHLa/GhMF5Ewm6nucB3Sl3SeU2YJ+QugxV/TDitYvlFUwVGH+ZX3mWZmrEYB4FLP/GrPfAFxgzX81\n/KGxbJ432lbWKpBlyPLZH8L89J2eMsZhA4cNPGEhuoBvWzhvA8ANP+rZFMYDVOsobnqbdFlrHr6q\nxcoHI6nUiH97nx/BOIAEbKFlw2geGADCXWzhZd/lUPR6DQuRbx0YBgZNE8DgzIzSKTC6NWKZA1em\nm+qWDDeCylUMr2DMhVxp80Cs1COX3HjztLieLWy7GjHWEDlCgtRL1Gp/J0n/rONDW1tbjz32GP/v\n7t27X3zxxd/VuHoFEqS7g2EohnHEsqILCxf86SvsG85KALBTBoA6b+tQAct8NVWk0nlS6UzF94Tg\nZq7MdLv1C90N08DMJIwnO33RLJfjes/0YE9ksUC9y1x2vQpZtt++vZG+J4cN/FsDhoWJpwDfK30Q\n2AMUgZ3es6p1b7BhXzNEm3e2Xife5g8FDGQZK76qiwR8YyGY8oaEgu868JH5+ZHbiIreE1GZ3sBL\nFdgArmIYgNvpl1Cp+xIV9keMDqG4yHnqZBekRw2RQqHQZz/72ebz5D/EL44E6W5iGFFDWFqZmCgf\nO+ZP28z04Sb7Ywj5fw9sSgy3Ti23SdVf/WeHqrW7Vc9/A+azXV/vKQrLAvLr/5B/sOZo26jXARif\neD+DfU8+aWB+HnNzsG1cAUZ8VfEjzNpNQKhnC9i8y223+X+71V6UOxWfib6xaD2h7DgbwKfm5w/d\nDTUS0XU9iuH/jR8C2EA/gHqnH8Nmw/9w3LCe3+5STmzf1XESHxw7d+782te+tt2j2GZIkD5ATHMQ\nwNxc2bZDuOECCnaydBi/vmc6EGqdWm6TwPSrBL7N+flbqRGAiU8g9V2gD6gC14FB/6iSX6LhjbaN\nPpm9/C5jmojHsbAAAPsB20LFhl9Jp+xEmW85FqSCb04O3Ob/7dbKreP9AdN4fijJNKNADdBnZg6+\n/xzd7TCAwSP4iwv4n8O4uooRGW61TTH3hCvFWtQbouQnV+uiE32QD2Ss9zZkiNS7kCB9sPjLS+vY\nEU59DwjzS/kIUPSTU/XWqeU2YYfif1dNQTJNdKn5asELcdhhxIQUeOTWJWkgy/Nfv9sRkjcmoznu\ncxZ+uIB14L+mAChhb7DrflsE0ebd9T8/v80fChjIcjpWQwfCL8+Ud35+8G6HRB05hE8yQQLQXsMN\nIBL2v+72wLBLNDtxl8dIbAPPP//8K6+8AuDnP/85gOeee+5HP/oRgM9//vMf/vCHt3lwdxUSpA8c\nw1AMQwEw8WnM/U3YvjCMzQoaTHi8tRr/uuk2XAaaiII0wppHALclRYz4Qcx/HXP/ETara3gL2A9I\nvpPdCFAMo85G2xyY+YXhGVP+QNQowBEDRwwAeGQCfzMnrdoj96G4iUijubSDTospbutD3bbhdBMk\n7vp00DSlOy1buDP6se8xfGkF/+sxvLyCsWFcrSAi5u7kkDvav3LJjbsN2fuamJnwhh88yi1h9jxF\nSB3Y3gjpff2Ne7z00kvf//73+X9feOEFdsMwjN8zQdpx8+bN7R7DHxDWC1j4NlB3sVUFypZl2zZb\nB1J8g6BQcFLpzDCgmCbbrzk4MzMoVtC9vyG9iIXvAi5wHdjtJ+7Cvml7mY8WAGZmFMPYjrXWFyx8\newFAtY7yFmrAVctat23Xr9J2gX4g4ruH9/ul8TW/t3ixNUf3GDAYsIUHDpom/HuiMzOR35UOBbiK\n11fx46sYXsWIC7k9cVepR95hibuwv0+qyitpmjH2DKlRJyyr+IUvTORy/2Zb3j0eVyTpq+fPn9+W\nd+99SJC2E8u6urCwCih+gVxDmFpugQLItx8J/V5SsaziwkJd6PPA6raV1tv8oaqQuIv6pfSukKrc\nRgUifpdY1ttf+MI/zeX+5ba8ezw+IEn/gQSpG5Sy204MY9gwhlvvG9yeodxrRAyD9IO4Y+Lx7XHK\ni8cHWlv+Ei1QRk1eHAAAAWlJREFUhEQQxB8W3dxJfmdQhNQNEiSCIAiiJ7gTcw6CIAiCuOuQIBEE\nQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQ\nIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE\n0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkS\nQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9\nAQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEE\nQRA9AQkSQRAE0ROQIBEEQRA9AQkSQRAE0ROQIBEEQRA9wf8H5TkCu1T/71UAAAAASUVORK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"subplot(211)\n",
"gsp_plot_signal(G,f);\n",
"title('Signal with noise')\n",
"subplot(212)\n",
"gsp_plot_signal(G,f2);\n",
"title('Signal denoised');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The noise is largely removed thanks to the filter. However, some energy is diffused between the letters. This is the typical behaviour of a low pass filter.\n",
"\n",
"Enjoy the GSPBOX !"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Matlab",
"language": "matlab",
"name": "matlab"
},
"language_info": {
"codemirror_mode": "octave",
"file_extension": ".m",
"help_links": [
{
"text": "MetaKernel Magics",
"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
}
],
"mimetype": "text/x-octave",
"name": "matlab",
"version": "0.11.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
@phsamuel

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phsamuel commented Oct 15, 2016

This is a notebook version of gsp_demo by the epfl group. I took no credit on any of this. I just reformatted it into a notebook for convenience.

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