{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Subdivision Curves\n", "==================\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n"], "metadata": {}, "cell_type": "markdown"}, {"source": ["Subdvision methods progressively refine a discrete curve and\n", "converge to a smooth curve. This allows to perform an\n", "interpolation or approximation of a given coarse dataset."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 2, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('toolbox_graph')\n", "addpath('toolbox_wavelet_meshes')\n", "addpath('solutions/meshwav_1_subdivision_curves')"]}, {"source": ["Curve Subdivision \n", "------------------\n", "Starting from an initial set of control points (which can be seen as a\n", "coarse curve), subdivision produces a smooth 2-D curve.\n", "\n", "\n", "Shortcut to plot a periodic curve."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["ms = 20; lw = 1.5;\n", "myplot = @(f,c)plot(f([1:end 1]), c, 'LineWidth', lw, 'MarkerSize', ms);\n", "myaxis = @(rho)axis([-rho 1+rho -rho 1+rho], 'off');"]}, {"source": ["We represent a dicretized curve of $N$ points as a vector of complex numbers $f \\in \\CC^N$.\n", "Since we consider periodic boundary conditions, we assume the vectors\n", "have periodic boundary conditions.\n", "\n", "\n", "Define the initial coarse set of control points $f_0 \\in \\CC^{N_0}$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f0 = [0.11 0.18 0.26 0.36 0.59 0.64 0.80 0.89 0.58 0.22 0.18 0.30 0.58 0.43 0.42]' + ...\n", " 1i * [0.91 0.55 0.91 0.58 0.78 0.51 0.81 0.56 0.10 0.16 0.35 0.42 0.40 0.24 0.31]';"]}, {"source": ["Rescale it to fit in a box."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f0 = rescale(real(f0),.01,.99) + 1i * rescale(imag(f0),.01,.99);"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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DE0IcS2lpqSwCA4GAtskoijIzMyPyyWQyDQ0NotgoLuFwWFSDVqtVdpUYks1m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\nyuVyExMTVVVVSTcF7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"output_type": "display_data"}], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; myplot(f0, 'k.-'); \n", "myaxis(0);"]}, {"source": ["One subdivision step reads\n", "$$f_{j+1} = (f_j \\uparrow 2) \\star h.$$\n", "This produces discrete curves $f_j \\in \\CC^{N_j}$ where $N_j = N_0\n", "2^j$.\n", "\n", "\n", "Here $\\uparrow 2$ is the up-sampling operator\n", "$$(f \\uparrow 2)_{2i}=f_i \\qandq (f \\uparrow 2)_{2i+1} = 0.$$\n", "\n", "\n", "Recall that the periodic discrete convolution is defined as\n", "$$(f \\star h)_i = \\sum_j f_j h_{i-j},$$\n", "where the filter $h$ is zero-padded to reach the same size as $f$.\n", "\n", "\n", "The low pass filter (subdivision kernel) $h \\in \\CC^K$ should\n", "satisfies\n", "$$\\sum_i h_i = 2 .$$\n", "This ensure that the center of gravity of the curve stays constant\n", "$$\\frac{1}{N_j} \\sum_{i=1}^{N_j} f_{j,i} =\n", " \\frac{1}{N_0} \\sum_{i=1}^{N_0} f_{0,i}.$$\n", "\n", "\n", "Define the subdivision operator that maps $f_j$ to $f_{j+1}$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["subdivide = @(f,h)cconvol( upsampling(f), h);"]}, {"source": ["We use here the kernel\n", "$$h = \\frac{1}{8}[1, 4, 6, 4, 1].$$\n", "It produced a cubic B-spline interpolation."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["h = [1 4 6 4 1];\n", "h = 2*h/sum(h(:));"]}, {"source": ["Initilize the subdivision with $f_0$ at scale $j=0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f = f0;"]}, {"source": ["Perform one step."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["f = subdivide(f,h);"]}, {"source": ["Display the original and filtered discrete curves."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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MvvsuUQ/R0SEdHYk6OA536tSpU6dOxe1wP/uZMfj97yUYjNthAQAAkDAEhDjKJ58Yg6Gh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\np0/R0ABBAACTCZubiheJJSJSFgMhUaq8fAmVFX994prDTz/91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"output_type": "display_data"}], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; hold on;\n", "myplot(f, 'k.-');\n", "myplot(f0, 'r.--');\n", "myaxis(0);"]}, {"source": ["__Exercise 1__\n", "\n", "Perform several step of subdivision. Display the different curves."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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3Ve2hnKdNAo/SrlQpKioaHx8XOeHZs2eX5TmibrfaH3HzJh490j6CNmS8Efjh\njwEAPT09qXsdkWi/VrcDfYj5QKaTUaL0iDtwvPmm0omzvIyPPkpHkyhjmBBSMBtQovln7CcIh8Mx\nPDws71exubl57ty5g85OBPalwPnzYpJPkK8GDp4BB8CnPvWphBoet6B+648AuYOrCCjLTAtMYnsb\nDx+m68GfP8fNm1zAECTq8q2wLBZ0dirHU1Pyyl6iSPb2juflfSEwaheL4uLi4eFhuRrZ+vr66dOn\nt7e3AaCjAyWB+HPhQsiQYQNKA8dyL+PnPve5hNseF+3Xahd4EDjmrNFU2t1FQ0NQDzKlm+hwCTk2\nEJbLBVHu4YMP0tM0yhAmhAQEsj4nMA5sARNAYqsxSkpKxIbvU1NTl1pbMTSkzjJvbdU+nSC6V38A\nPS0HlqMA+IaeDckhfj9u3sTLL6O2NqZCEfH2UL78Mo4fx+XLvHoI8jjaG7KzsxP2d3V1qKvD4CDm\n5mDlbDgKb339cV7ewUsvBYWMWJJDt9s9MDAg54TLy8uvvfba9vY2LBYMDSmfuvV1XLwoz0PTnhYq\nAjM41oHnoR45Y8SkEjdQHOF2FLu7d3HsGO7ejVp6IBGzs7h5E2fOhOubNqckZ4ehsxMWC0pK1Jpk\nlKUyVc6UDE3+MFiAjUA17fIkPifaOZ9dXV1Sb6+6v9ngoHR47KJQs6dTfkJPlyRtYyoDLfECdsBi\nsUxyu9uETU9Lbrf6p6+oiHzzRE5NTU3Kgzc3p6DBuWJkZMQaLZErLi7eYMV2SpLPFy5kxPgV7uvr\nE7d3u91er1eSJKm/Xz1v9PRIh08OnsCv+uJ/upTQPulkoDEDABgykrGxoWwtKP7r7U3xUxQVKY/c\n35/iR85mEcJErA/BfWtzAkcISe0K8gPPAj/8arhbx6C3t7e8XLk8uHr16oOCArjdyu8uXfr84Z4n\nsWBvHthO4kkTJmlOiA8DbbAB1YDf7z99+vQiS2vES65ReeIERFl5hwPfCDvsGq6HMnon5Ve+ohwc\nXm6Us549i7pw/8aNG+fOnTs4OABgs9nC3Wx2dvbYsWMP0zeVl0wg74UXkgwZzc3NnYEpyk+ePDl/\n/rzf70dTEyoqlFtcuXLs8Hkg8Av8JKFnTJ42ZIhJctWAPRAy1NKpFKObN3H8uLqywGpFZ6e6eVWq\niMpDP/95ih/ZmG7dEruzhJPMRinqfV2uhB+EDETvjJQMQXweGgOdc9PJfU42NjZEpVCbzbb09KmU\nn690zpWWaku2TAeesTuJp0sJ+am7AMlqXX/ttS9+8pPyT1wu19bWli5NykpjY1Jx8aGO3uZmaWcn\nwj0SP0ft7Kj7Wef8eNfSkmSzScXFUpghCJ/P1yQ2hgKcTufMzIz8K/FDn89XvDJakgAAIABJREFU\nX1+vfXubm5t9R3a0J4pFhJAR15m8UXPpr+wvv7Eh5edLFovU1iZ5veK3xYGn8x1Z15DG1xkGABvg\nBSSHY+M73/nnL74ot8Rut6+trWW+PVlpaUkqLz8UL0pLpbm5tDzX8LDyFIWFUs6f9CYmlOBYXy/J\nA++hRA6+Ib9WCX/NyeD4hyRJ0nzDXZpwm+QEzrm5OTFA4XK59j76SJzx2wOP7NDMFy0yyPllZ0c+\ne4rFkACKi4uZE0bn9Ur19WqGBkhOpzQ6GvlOCQSkQ1wus8wCEvNvrVbpyKdxa2urpEStBlVUVLSy\nshLukXp7e7VzSsvLy3ciZuxER0UIGfGeyX0+X4UYEgRaWlokSZLGx6Xpae1zAWgPPN1EQk+UFtPT\nImTISyLlkMcp2VH4fFJvr2S3q/HCZpN6e6X9/ah3TfAvvrWlhqelpUQeIVtsbUkFBcordbvDvaVR\ng2/Q+5x4mKZswL8iKcQXeyVwdq5M+qs+MjIiHraysvJX/+7fKWcoi0W+dK0JPFdQwfIUvq5kdHV1\niSaVlpbuxxCozGtgQB0Elv/r7IwxtMcekEJoa1OerrExNS/EmLq6glZVaS0sLLg0k3YqKiqi9l9M\nT0/Lm8TIHA7HdODimyhG4UJGAmfy/f19bU7Ye2T9mPzzucBztRkyZGg3wCguLvaGH5kxu7m54Ikk\nFRVSDMOqCX/AFGIZ4cBAAq3OGmLQ1WaLvMAvavzt7OycmJiQZ5FEvmWmXhulC/+EpBDf6qHACfpa\nKr7nbW1q4L71zjtKr5XTKe/rMHh4Rb4BTyvNzc2iYTU1NZxcF8LMjFRRcSi0l5SEm9YYJGo0iv55\nGBzM/VlAYvKPfNl0+GXOzMzIW7rJmpqaYvyUer1e7XbeFovl6FU4UQThQkZiZ3Kv16vt1xg4fMkO\nzWikBDiNejGqDXl1dXUMGcF8Pqm7W7LZDk0kGRiIevZOPEZo1dcrT1pXl9SrMLKeHvW9DZ/37u/v\n9/f3xxKCEXE5ugG/g5QY/glJJX+rmwOnkjnAYrEsJT2zQnvR+ezmTam5eX1xUZ6xthV4rioDn1O0\na66aWc1Sy+eTenokq1UNP1ar1NMTNbT7fL6xsbGmpiaHw5FsmFlby/FZQPv7ktOpvMD8/KClkgMD\nA9pQ3dXVFe/Dt7e3a9/tpqYmDmtQ7IJCRpIXiCsrK2LxucViGR8fl38+MzNjsVjaQj1RSl9NamhD\nRn19PXNC1eSkVFio7T0cBiKvMBcSjxFao6PKU7tcCb4Eg5ucFBF5BAgZi71eb29vr3aGSKpk/uVS\nCvHvR0csLYk1IXaxxD8JOzs7RUXKCkG73T43NyeXECjTrhww8GxMn89XVqbuVJ/ANXdumphQp9/I\n/1VXRy4G4PV6Y88D44gxuV1MvLFRTLSWxsa0v+ns7BRrlqxW62i05ZrhjI+Pa8cYI68/JNICUKhZ\nRmiP65sbysrKivg02mw2eSaz2+0GMC5ONcbumAtaEtnd3a13iwzA55Pa2rS9hyvx7G6VgjAhW1tT\nA1bubZbg9S4FXt1CqKpLW1tbvb29Tqcz9Jt4RF9fX3V1dSzDg/H9FciQ+PejUALLkWsAAMlvrLSw\nsHD0nDIgzsuVlSlpdfrs7OxoK3Z4PB69W6SrrS2ppeVQ8Ri7XRoeDnfzjY2N/v7+8vLyqJvjhSRK\nZYbV0pKzs4C0G7K1t2t/oy3MaLfbk/ySLi0tFRere2vbbLaE00syG2iWEdbE9c0NQzsL2m63y5Mw\nbcC++C4Y/sPp9Xq1IWNkZET+uUmvm0dH1RongAT0ASGTjHAPEDVMxNEYUYcs95YRVlWJrpmj+4K2\nt7fb7YeSRJvN1tTUtLS0FPn99Pl809Mhqwgn8Vcg4+Hfj0IJDErIO/+WlZUlP+lldHRUjGbI/u6f\n/BPlvJwNK5c2Nja0UyzGDo/VmMjWVnDxmLo6KdSAUuQ80GKxlJeX9/b2bmxsRI4xhYWFUer1iVlA\nTmdOLSNcWFBX2pSWitLhXq+3qkpMskZxcXHy87olSfL5fNok02Kx9PT0BH/xWYyUQhLj2M3Nomch\nmdkl09PTQX2IVYETzgZgy4ZLz62traiz8vRuY0aMjWnjxQxQFtsb4vP51tbWZmZmtNXpUvBONjdn\nS090fDRLB5ujvV12u72rqyuu4tKp/BOQIfFPSKEMDcmnleXAxqOigzMZHR0d4twhtpOSLJZYaosZ\nwcLCgnYu00LuTTiJUU2N8rdzOKSJiaBfzszMtLe3h8sDrVZrZWWlx+MJKoMZMsBoty2JtLDN61Vn\nIqVpA6vM8/nUKnx2u3hdS0tLpaWl4i1yu92prW6vLZ0PoLy8XNlRbW5Oamw8uoiRSJLUkCEVFvb1\n9YkvezK79QwNDWnPBv2BkDGQPVefc3Nz2snY5r2MLitTYn1bW9RZIpWVlUVFRU6nM6gHOWVv48CA\n2oGYM6anRRAci/hGOZ3Onp6exPYZiu9PMDmZFX39JJjjZETx2toSXU0FgZNI8psu+Hw+ce6wAT+/\ncEGqqpIqKlLS5MyYnJwUeU5hYaFJd2/b2JDsdqm9XTteJOeBoiBEELvdXlNTMzQ0FFfBkt7eXvEI\nlZWVkYapS0uzaLQ5Jp2dard6YGrTxMSE9vqyrq4uHVuhzMzMaEc28vPzn09NqYVtOjpS/oyU9TQh\n43/88peiK6evry/hhww6hziAJmDQ2BXIjpqYmIjvMjonzc1JFRXSwkLktyIZw8PDsc5j2tlR1zvk\nRq+u1ytK9WwdKcCr1dvbm0zIiPwnUG+3siKVlUkWi2Sx5Mg7bA7mOBlRAgKjExdfeEGcSpJ8SI/H\noz192Gy2uSwczxkZGRE9l+bdaSqQCo6Pj7e1tWmXn2k5HI7GxsaRkZGEg1BTU5N4tPbDi+gO6e7O\nqVlA2n0mamrkn42OjmoHXdva2tJXvXBjY0Mu4yG+qj+rrVWHK7e2pIT3hqZcJQa0PR5tmc3EHizy\npacL8CB0BUUDivxazPM9Wog/IbTb7QUFBdo5ERGUl5fHOnleVDpNosPCQMReGkBdmj9p4R45Pz9/\nTUz12t9X15U0NSX/pJQZZjkTUdwC+33//Hd+R/7C22y2tSTmdu7s7BytLVlQUJDaCW/p4vNJmrlP\n3d3d2iBktg3r9/f3nz592tLSEq5YaEFBQVNT0/j4eEreGe22JWF7JSYmlPBj7Iq1MfF61QIMBQXy\nB6+3t1dbUHRoaCgDDdFWMbUAf/9P/6ncqmupvsigXBAIGVJd3eTkZMJXouGuOIUOUV3GyNU7NzZE\nvhr1Fenb0nRbWFjo7u4O12l4lMfjGR0dnZmZCZqAE8t9LRZLV1dX9F7apibls5p0EXX9iRmwQE+m\nPmnaxxSXAVVVVeotenvVNUGsWZ0lcvxMRIkLFOr41W/+pihS3NbWlvDjie3O7Hb7wMCAOJu43W5D\nb9O0tSX19koFBUFDT9rd23Jjw/qo0cLn842MjNTU1ARVKhNcLldLS8vk5GRq3w2fzyd6iC0WS+hy\nPj6fWn8l6aK4OhPdvRaL9PSpJEnNzWqNgOQLisbl6dOnYpKq2AXOCwSti8pYe8i4AiFjLdHr0fD3\nO2RUu/58ejozLy4Ok5NSc7NktcqFl2N5RXq3OG6xtDnePDCZT0h5+aGamgUFBcNHql4fevDhYXUZ\nfFZbWFDH4lyuqGsu09GE0dFR8fgDonCrz6euMmhpScfzUspl35mIMkQzz/7716/L33ar1ZpYPcON\njQ2RRcibMnV1dYmTiJpnDg0ZbhbQ+Li6lOtwR1dubFgfNWbs7OwMDAw0NjaGGw8sKSlpb29PuMR8\nLLQlXi0Wy3TIq0C5bgEg9fSkryVpp91noqfH6/XW1amTgAoKCtL6Poe0trYm7yNq0ewu0H7kY5Dh\nVpHhaEJGhG1GIzxA+Dsd4gA2xHekqMhwIaOuTmmb2y3/IOor0re9sYul5ZHzQJfLlfxbEfLGo6Oj\nQTVdKysr5bNliKdYWAgX1rPJ/r46T9tm+8UPfhC5glH6GlJTo2w3Y7fb1TlfouppYJUBGVzWnIlI\nB4H9vn/1/vviVJtYJXFxvtAWp6murhanqo+//32pokJC8GZrhiD2Pe/s1P7Y5/NpZzMmUz5BFyFj\nRilQA0iStLGxMTQ0VFVVFW7zQLfb3dPTk7FSqwsLC6JPwel0htg5XVRhKS/PTJNSb2lJstuVV1FR\nsbayor2uSnlB0djt7+/LiznbA1dRW6F2PSazC5wqmxBWuLuGv0cIFYBPXNAnMW8lLaan1WQjVEIS\npKamJpm1GJkRrvFWOSxOTETNA7WdhuEeLclGer3ezs7OWHa7lSTNboTZ24Eo9noBfnn5ctQXnr6G\n7OzsiHlklYG5VHY5FUSITXTJmBjFKbz2djHPfnBwUJxW4p2xNj09LVYiaSdyaLfuvf3CC2oQPbKT\ngc76+tTpJYfXp2lnMwLIzMquVAmKFg5gCPABO4ATCFny22KxVFRUeDyeEPlY+o2Pj4vqhUVFRcEL\nRZ4+VZcRZmP1V59PHeTMz5999EiEWABVVVW6L1UFYNMMznCQkIIFQsbAkc9G1A9J+HuE9vzVV9WQ\nYbRZ4iUlQZPlIr8Wu93u8Xj0bXJkIZvtDkwZ+OtPfjLkZMWgPDDCY6awqXNzc9ptWsNRB3Lr6lL4\n7JkzMiIG5P/77/6uyAbtdrs8gyYd723E5oTYK7JLfEPt9qwMyibDEE7hif2+8/MlSSorU7aTjXef\nejGMdvSOKysr8iW+BVgVOaHLJRmqdKfXq3Z0HUn5dnZ2xF4LVqs1WzasDzpxV2pnYQFDh39rtVqr\nqqqGh4d1rwAktjgDUBG0YYmobFZWJqVio/ZMm5wUyyD/r//0n7S7cqe1oGiM1MYEPiQ7HCSkwyo1\nA8hhL8RDCX/zsGzAwWc/q5yyCguNdbk5OHj0OjjqKyotLTXs3rZH3/w+7SAt0KL5beQ8MDOCNrE8\n6tBuhHqfXROxtSVVVkrA//Pii2KeqMvlCr2eIiO0i2hkVu11xeEJVmRADOEU3v6+1NYmjY3J87+1\nA32x71Ov7TcKeaoaGxuTH7YE+IdPfEI5dzQ2pvKFJE/MzQi1a6J292GbzabjGTl24o/iBEYPh/an\ngDzvx26319XVjY2NGWprjba2NtH44CpHMzPG6kqI18yMVFy8VF4uunszVlA0FnKT7MBW4KOi/iXk\naywyuf39HqDiSM2hWD4kkS/fhY2NDbGY+Wuf/vQ/fvKTyonLUNXtfT7J4VAa1t+v/Y32ffB6vW1t\nbdq5GBaLpaOjQ/e5AEGC/gQ1wJomXuwD1wCbMfJArcgfJKdYg9rcbKzehJjt7+//b1/+spihVFxc\nvKXrUr2dnZ2j73OH+Kjk52d9AfBcxxBOcRD1LQoLC2MZsvD5fGIReXV1dbibiV0cmjVhRjLUUNvM\njNqwUJ24ExMT4iI+Pz8/sdI7GeD1esfGxsTJul5zcS+P+TQB4vJE91GpcLQ9kd1GLj0fJ5/P13rx\noi1wgWiz2Qw14Cze82bNB0YMEurdOjKEyFfhAIKyHfHJiXwv7V2ePn0qTrb9X/yiQUOGWNIcrezN\n5OSkWDohc7lcT58+PXrLlHzL4nqQtbU17VCbAxjQxmhgHJADvHHyQFnUzyGArO493NraqqioEK+l\nqqpK32xQCvOe5wNe8YHJ3uWa5sAoTnEQMzwB9B/u+AxJ7ERvtVojrzoTl/jT4tzhdBqrMlVpqdKw\nMAVFxVCnHNF3DNPp6PP5JicnOzs7KyoqRF0WFzBzOLSPAc5DZ3Ljnhx8Pp+YwBx2I4ps4/V6tQHe\n6XQa7RpLCoR8q6YfocPwnxbKsMhX4eXl5V6v9+jPtdV0jwp6ip4edce1v/yt3zJiyFhbE0u8YslU\nu7u7g4qCNDY2ykEk6rsRi9gfZGNjY3R0tLGxsaioSNukZmBHEy+8QIum9zCBJqVbhI+TYdsco7m5\nObFQBUB9fb0Rem/Dvc99HCTMEln8lSBddHQoV4D5+fmRV5R5vV5RFaM9Wo0pUZ2lSNufVFFhoMn9\nYj+A8MujBwYGRE5YVVWl7zl6bm6up6ensrIyaLsIK9CufZOBDaAm24LlxsaG+HRZrdZMbs2XEkHv\n8NbWlnaUoKysTJeyPbGQWxi0klDvRpGxRL0Wj0vIpxBbzxUAPqvViCGjslJpVfjZMVorKyvaLqEE\n3pOQYnkQr9c7PDzc0tIibzATxKXd+xGQgJHDvYdxvzMZkao30DjkZs/MzGi3l+ju7jZyNgjAoe1K\nMHbxJJPLym8F6Wh/fz/GferF1u35+fnKcNnCguRySZ2d0tzc0duvra3Jp7lGbeyJYRwyQ7SlZcKf\n1Hp7e8V5sDHjKyGXlpb6+vqOJoFCOfAXYqEmlHqAIbeZz3DLE6CNi06nU/eCNzE6+j4vLCxot+cy\nQkHRCCYmJnB4kFDq6tK7UWRE2g/5/v6+dpOecEpKSrTjh1JHh1RRIfX2Hi0Ttba2Js5yLYFqTMYK\nGaIqm8US+9Dl4OBguLN3YqfoyA/S1tYWNBIYpOvFF/fFUCewARyt4JnoG5R2yb97RhDhVRiqOG2E\ndnZrZ34ZIH2lkLLpW0EGIRYVWK3WcFXR1tbWRIxRN+jr6lKXVYQiZl2Oi9OHzWagfWNbWpRWlZVF\nuJV2f8WoQ6PJW1lZGRgYaGpqCtqWV8tqtVaWlf2fX/nKP/7ar6lXTgUF4bqj093mVNEu3SwsLDTO\nNN2QIsRLwQgFRSOTE0IAt0T/CEuKUwx8Pl/UEbDg+lVud4ROh4mJCTEj4ye/8RtGDBkFBUqr4imx\n6PV6jxZsPGolNrGcdoIUFBRUV1f/7//xPx5o9/YABoCjqWra3rvUCPcaMxCakxfhb2S32ycMtkFX\nhNY6AEkM4xumTBoFMfqXmYxJTCwRm5AGkbexBlBUVKRe4IpleOHPxf39/fLpQ61WXFqajpeQiKUl\ndVlIqEX/sqC+8HRsWL+1tTU8PCwv8wi5YaB48zs6OoaHh//fP/5jteqd3GPd3i6W1GdRdD9K/sDI\nDD62FiFeArBarbGsy9Wd6A86/vLLyj4fgJSGDznlnshfgeBT0MaGer4NU7pZzMjIB/ZeeslwIaO3\nVx0YifPUFMt7lUKFhYV1dXX9/f1ra2uSzye1talX8IDkcsn7A4f+SxmeaLOYaQzA+IvPI//J9G5d\nCJFaK0q1FxZykNCYjPiRIuMTowQItU/95OSkyFLUc67XqwaY8NmUFCgwU6GdONrRkaYXEjexdXh9\nfYRbeb1e7ZKwoJ0DEjuVe73e0dFReZlHhCSwsLCwra1tZGREmUK5siLV1UmaOT+Sy2W4fZyTIyYn\nA6jX/F0MFTIjh3Zkw9WJbGBgQG6w2+1Wx/xZLYBiEPVbcOg7K5ZtOxwRriDdbrd8x69ppz8YJGTs\n7KgLDYaH47prLO9VSng8nkMzfcbGpOLiQ72HLS1ZXZBTS7ttic1mE/XAYaRgIUT+w+ndutDCNnVl\nRWy0K8W8bxllkkE/UmR8VVXKUgK32x30KxGhD20dLvbqjdY/tL+/L2dT/dqc0CCzI4aH1YlJEWPk\nxsaGmMNptVqnp6cTOKHv7++PjY11dnaWlJREWOZRWFjY3Nw8MjISPOFqaUnSrq6xWqXOzpwJ7Vra\nfl/t5vXGCZyRQ7tx2hnVoYRwZ0cdeWZJcYomvm9BfX0svW9bW1tiWfufvPii4UJGc7PSniOBMrJY\n3quUOPSsY2PaOaJSSUm4sdnspZ1pXFxcHOnd0FXcfzsjES0cGBhQf9rWpn6uOEhoPMb9PJHBLSws\niLOqGAGTj8W54FDdfFFyraUl6oPLBQPs2omjBQWGyGR8PsnpVJoUbYLf2tqatjZ0jCd0n883Pj7e\n3d3tdrsjJIEOh6O+vn5gYCBKOUrxtpeXh9xBMTd4vV7RDWHA2KlthgUoM14LYyfm6CrdPWKQ0FA7\ng5NRxfol9fnUCcnRxhPGx8flYGQHtl94wVghY25Oza/iPANHfq9SsoYw+Cl9PmV40GaTentz9apd\nu22JYU/FymkWGA5T+M0g7QypublZbmGPtqNwZUWdrDQ6ql/rKDTjfp7I+BobGyOcUuvq6tSb7u+r\n80Vj67iVdx8uA3wimkbsJ84c0cvlckW97dzcnNi5MULs2d/ff/r0aXd3d1lZWYTb2+32ysrKvr6+\ncLV8Qlhbk5xOqbs7V0O7oJ0LFOGt1otowzVAAno0W3gZoXmx6+zslFurzM7d2ZGam48WgSQKKdZv\n6Pi4Oq8hhtnIXV1d8iO4gV/JhZQLCozSBVZSklinSUrOZnE/yNycVF6e899oUeYgybc3faApprAA\nlBiykeGI72NT0Ge+vl6y2aSmJilLqoKbinE/T2RQmrxibW0twvl0SRtRxEQUmy32tUbyWESPdgZL\nnMsw0kJbWiaG5DZy1AFQU1MTIZOx2+3V1dV9fX1zc3MJ1p/M9VRQCHrrCoACw4RPuQGlmg6OLsO0\nLS7BCSFRZIfPP5FPhurt2tvVqQ0xPYmvrEwZeu8D/urf/BtDDA/KBgaU1xJnPd5Y36v0P0juify2\n6P7OTE9P5+fnjwWChQ8oNVgLIxMTSWpqag79YmODJakN6xNRvxVEAHD/Pi5exOc/j2fPxM/Eyo2Q\nXn75ZfUff/ZnykF1NcJPgwzS1NTU2Nh4FXguftTait3dmBudHoWFEEVEP/gg+ce7d+/e5uam9idW\nq7W8vLy7u3tyclIuKNrc3By5lkwkid0rm9UDc8AC0Kl3S4Senh4bMBAYGFwHvqdzi4jSKVTIACBF\nKDuh/dXDh8rBG2/E8mwWi2V4eFgOSZeAr/y3/7a5t5dQu9OgpgZyl9/uLu7di/1+sb5X6X+QnOcE\naoB8zU/y8vL0asy9e/dOnTrVuL0tNml5G5jSqzUJEVsEB13bwOGAPdwEWNIZE0KKzZ/+Ke7cwfq6\nmtrF5dEj5eBrX4vrfv39/cWlpecAJbavr+P+/UQakFp/+IfKwYMHkRPU2IOK1WotKSnp6OgYHx/f\n2toaHx9vb28vLS1NMAk0H+1bvQcUAVagPMIdMujixYuXL1/uA8T28xcAvTs2EvR3f/d38kGM22eT\nSYUPGSE7pw/dYn0di4vKcU1NjE/ocDiGh4flddebm5sNDQ1+vz/JF5EaViu+8x3l+L/8l7juGv29\nytSD5JKguDwMrABDQHW4O2TQjRs3zp8/79zbezPwk0fADT1blAgRHba3t/VtCcWOCSHF5vXXlYPH\nj2O/k3LaffwYy8sAYLGgPL5LdIvFMjIycuBwXAH2gD946aXVOB8hLdxuuFwoK8PQUOQBzxjj7sTE\nxM7OzvT0dFdXV3l5edRlh3SU9q1+EjhwanIwXezt7Z07d+7OnTuNQH3ghzeAR5rbZNf12cHBgXzw\nyU9+Ut+WkKElFDIUjx5BzuVKSpCfH+3WqtLS0jfffDPwGI/efvvtuJ86TerrYbOhuhqafVNJL0Hn\n29XAxI2v6tEYrUuXLl25csXi9w8FCsmsArVAUMeG8UOGGCHc1X1KF8WMCSHFxu1WZh7OziLQ5RPr\n8JfoIS4tTWC2gNzv+6HV+gXA4/XW1taKS1I9zczg6VNUVcU+AzYcSZIiFxQN68GDRC62TGAbWA0c\n69h/sLy8fPLkyfv377uAXvHT4uL2w6ub9GsgUdqEChmxEiEjWungozo6OkpLlfVW77zzzqNHjyLf\nPkMKCrC1heFhHNnnIHMODnDxIp4/j35Lk/lJ4KBEU+srw2fm3d3dc+fO3b59G0A/oHxKLJaCiYmj\nS+4y2bDE2ANXeuvr6/q2hGLHhJBiU1iIwK56cSchIiR/+9uJPXlZWVlfX598TTE1NdXa2prY46RS\nzPlbWk7fU1M4dQpnz+LCBRhnqYzetG+1WLekV6fv/Pz8iRMnZmdnLcAAoIz5OhwYHUU2jwCL7phE\nujDIPBIOGX4/njxRjuNcYoDApBIxY+3cuXNGuSTV9/vy6BGOHcOdO7h0CQaZSasrbbCYAuSTWoHI\nxDJrc3Pz9OnT9+/fB1CvmUuCzs4E+kSMQLugYI+XKFmCCSHFTMzV/InSoRZTqrO8rK4GSeLU1tjY\nKOpE37lz58aNrJtUnyIHB7h8GSdPKtdMq6t4912dm2RIfxo4cAc6fbe2tjL27Pfu3Ttx4oS8fKJb\nWyDO40HEUkzGJ4oEcA0hRXEkZMRELMzOz0fp0dqK0TkcjsHBQXn19d7enlEmlehlcxO1tTh9Wlm4\nMTWFDz/Uu03GsqeZUZL5hHB+fv748eNTU1MACoDbL7yg/KK8HO3tGW9OyogAEVxXhoyKCSHF7KuB\nsZaY55xIkqT2DWs7jBPS19cnCotfuXLlcfbMloyQOcc3fvj4MV59FTdvql28FRVqhRvSvJ/PAusu\n7IFlhBkrMnHt2rXz58/L3aIlwB99InCabW5W69MS5bz4QwYA/PCHykESE/LLy8vbAxfTz549k2fi\nmdGDB3j11UOlTTs7EXEDYfPQBl/xAZU/ssXFxele/CavuHn27NmpU6fkQWwLMOF0vujzAYDNhr6+\nrK4QLpYRGmWInqJhQkgxKylRTk/z81hdjfVeYjVIzMXiwtEWFgdQW1u7Gnsz9HZ06n98iwG2t9HQ\ngNOn1eFWhwPDwxgdjavoghnIb+wusBz4iZyEPXz48J133knrU/v9/tbW1rffflvOPP/5iy9+/Ju/\n+Yl//EcAcLnQ05PWZycylgRCht+vLjEQZWkSIhfoko+vXLnyRExDNYn1dZw9i7NnIcZniosxPY1r\n17I6zUgtEYU/DvxE/sTMzs6eO3cuTU+al5cnZ4N5eXknT54UdThn3O4COXeyWDA8DJe+BdGSxRHC\nrMOEkGJWUKAuiA8E1yhjX3t76mqQ2LaTiszhcIyMjMiLl7a3t8+ePZtdNawSXBcu9/LevasMDFos\naGvDwgKqqxnaw5EkyRUYIqj67Gflg7fffvuh2N8s1XZ3d8+cOXPr1i0XPQqtAAAgAElEQVT5nwUF\nBf/9a1/79b/9WwCwWDAwoPMiohSJdcqo3692XpA5hQoZUUxNqRv5JL16anh4WP6U+v3+c+fOKcHi\n8L6IOcjvx61beOUVPHig/EQebpqeRkmJri0zKEmSBlZW5ON8oAAA8Pjx46tXr4rbpGRbQpEKBrFY\nLH9++XKR+GS+9RYqKo7eLLuIvnsmhNmCCSHFQ6zo+OlPxc8ijX3du6eUPHE4UlVdraSkxOPxyOtD\nZmdnz58/b5TNptJheVnp5RWTLoqLMTGBnh7u7hpdYIThy//zfxYEgtP58+fTMbC8urp6/PhxUdKw\ntLR05q23fuNHP1J+3dub2GooA4peVMbvx/37eOUVnDoVeZdOyn2hQkYkYrVhnBtOhGS328Viwu3t\n7cvnz+PUKZw8mcuVNpeXceoUWlvVYmOVlZiZQXMzew8jKShAUZF8+NZv/7Z88M4779y6dUs7oJem\n3eoL/P4vezxKh29paVYvHRREj6HYujasgwO8804c884oTULuWEoU2uioBEiAlJ8f0+2rqpTb19Sk\ntiEtLS3iM9zV1SVJUg5+mHt7JatVeQMByWKRmpul/X29m5U9vF7JYpHfvf/7j/9YJDDFxcU7O0dL\neSduYmJCO1xWXV39P37xC8luV/5w5eWSz5fCp9NXQWAl8MTEROhbLC2pn9ve3ow2jowm3pBRXJzy\nT05nZ6f8iR0T59LCQimlZwBD8Pmkrq5DISM/X/J4cunkk15NTfL79v9961uuiNM1E3v4cI9mASbF\nn8xul5aWUvuy9NITWCJRX18f6Xbd3VJ+fjquEileOXcNTWm1sSGusKWVlSg39vnUa+KxsdQ2xOfz\nuTUTirSDZal9In3MzUmlpWpcB6SyMmluTu9mZSG3W3kDu7r6NVtCV1dX+1J0neTxeGyabSTa2tp8\n+/vqn8/hkDY2UvJEBhE9IZQkqblZffm5d+VNsYsrZKytxXHjmPl8voqKCgAuwCvOqJEvUrPO06eS\ny3UoZNTU5NiZJ+2GhkR/weL8vD3iHJwEHj7cQ7Vr/2qDgyl/WXqJ9R3r61O7vFP3racE5MTVM2WS\nuNLt749+4+lpqbNTqqhIx7iW2EWgGtgAKmI8+xiczye1twf38vb1sZc3QT09ytvodkuS1Kgpr9fT\n05P8w4vBB1m//KXo6FAj3ORk8s9iKGKgdWFhIeyNFhbUK/u+vgy2jownrpAxMSG1t0vV1altws7O\njlzzsFFz8V2VvWFCa39famxUv25yyBge1rtZWWhlRX0bl5YiZIPxXmBE2PGoFNgXf7impjS9sgyL\n703z+aSCAuUdaGzMbEvpkJw4IVImtbUpX93KSr2bIgFoAXyABGwAjljOPmk1OZlU5jY5KRUVHerl\nra5mL29Snj5Vc7P9fZ/PJ3YusVgskca4ovH5fNr00m63D8sXYRMT6lVFV1eqXodxiJe8Erk3t75e\nnQTFQUIzM0bIePr0qbyYcDxwdvUGQoaOrZLGxpIKGWNj6sW0SCq2tlLXPpMRb+bQUOSEMMaPzf7+\nfldXV7jBRhuwFPjDTQA50+0b95vm8ahhmp9e/TAhpDiNj6uTwXQln18cwEbglDqqY0Lo8UhlZRIg\nJZxjTE4e6uW12aTR0VS20Jz299Xh1rExSZJWVlbE/kgOhyNKVhPGxsZGqaZITGFhoTpcJiap5tbS\nQSHWhHBpSf08ezwZahwZkGFCRkdHhxwytgKn2THAoku88Pmknh4l/Uh4PcXw8KGQ4XJJ4+MpbaX5\nBOa6R08HEVwzPOiRdnZ2Ojo6opRiBpoBrzyTOVdmS8b+pqm8XnV5Ua4Mk2YjJoQUJ+1Xd3pax4aI\nU0yVpn+0PuqpJ03q6tSVGwkrL1fPiRwYTJXKSuVdbWuTfzAxMaEtMLMf53zmpaUlbZgvKyvb0P6x\n9vel5mbJZpMizKjMWvv7++KFb0T9iIpBQqeTxZDMyzAhQwpEjWpNyGjTK2TIHYiAVFWV4CP4fMq6\nQYtFam+XvN6Uts+UhofFMsLIiQ2AsbExn7yJ/OGPkM/n6+vrC0oFHQ5Hb29vyMdxAZW5MXtZkqQY\n9tMKfbfeXuWdt1o5SKiX3PkUUuaIvKW7W68mBJ1iRgPRfR8ojHzeSZOJCfV0lnAut7EhlZSwlzfF\nxJp1t1v8TFtgJkoNtMPGxsa0kb6mpiZ0PpmjIW0lsFtXTN8v7SBhLOvHKFcZIGRIh6NGvyZkuGL/\nSKfQwIA6TW5tLcEHmZmRysqkmZmUtszENDWQCqJmNrGx2+2dnZ3eQLoe8jb6vugUiuUNCX3P/X3J\n4QjquqUM4z6EFD+xue3PfqZXE6TDp57zgLxPnxUY1MwCyhy3G3Kf4sEB3nsvwQdxODA9jfLyFLaL\nEFg0iCdPsL0tHzY1NdXV1cnHd+/evXPnTiyPdOvWrTNnzohtdtvb2wcHB0Nvx5f0Fmq5oLAQgTcZ\nb7+NwAaGZDoGCBlBLgPLAAAr4An8ME27zIVWU6PsJev34/33E3yQ4mI8fZqqPX4JDgcCY4MrHk/k\n20ZltVqbm5uXlpauXbsmKlHLV97iNkH/zHaJvxarFd/9rnJ85w43sNUFE0KK3xtvKAdTUwa5yNsF\nzgHy/vSlQJcujRCns7t3lR1myQiKitT0bGpK/Njj8ZQErlNbW1unNL8K6fLly62trf7AX7a/v7+7\nu9vCvZ4je+stZTvszU189JHerSGdGCBkBCV7e8D5QMgoA5oz3yCrFfX1yvFHHzFkGIXokP35z8Ol\nN4ODg1Efpr6+fmlpqa+vLz9U56AYk0mioVkp0ktuboacNu/t4fr1jDWJBCaEFL/iYsijItvbiHYZ\nnT5BZ5Yp4EbguA342x/9KNMNqqtTTmebm3j4MNPPTuFYLKisVI6fPxc/tlqto6Oj8vzPg4OD2tra\n9fX1kA9wcHBw9uzZmzdvyv/Mz88fGxtrampKb7MNSYyORi2WoNAOEl69apD+I8o0A4SMo1eiU4Do\nougFdBhl+/a3le6S9XU8epT556cQfu/3lIMHDxBmQE/MLolgYGDA6XSmp4mGlniWa7fjrbeUYw4S\n6oEJIcXPakVjI6qr0d+PoiIdGxJ06nk3MAvIAvzq938/01ef+fmoqlKO338fmZx9RJF985sYGMDS\nEq5d0/7Y4XAMDw/Lo3yrq6tnzpzZ29vD4cGE9fX148ePP3jwQP6ny+V6+vSpvM+1CR0EvlOhJ8qG\npB0kjG1qLuUaw4SMIJeAVQCABfAAkqZmUiYUFUGcSb7/fYYMQxDlo/PzRU4SNKCX0anFWShcThg9\nV2xuVuZR7+3h9u1Ut4uiSd/yRKKMEZ/nxzduiG1en371q5luhygto/1PkqT9fam9PfEdKSid5GL0\nIc3NzRVqys2VlZVt5Wi1mBhNTEzIb0VBQUEcdxM1RRwOlhslHR39jrsDO9lKgNTcnOkGibKWQSFj\nZ0dqbNS9KKtJjY1FrQrGS+vItGXb4ns3OjqUbwE3sM04jhBSLhAf6K+++eYPAivsSz/++C//5E8y\n2o5Tp0L8MC8Pn/oUbtzAhQtcKGJAXV1dVWJo97Bjx44tL8ujzqirqxsfHw+5IMQ8EhkhBNSJQBwk\nJF1JRy7ln2jWGuD2bTx5ksn24Ny5ED/My8NnPoMPP8SlSwwZOqioYFWwJH388cfyQUdHx9EvXSTf\n/a6y9GZ3l8vOM4wJIeWar09MPH3xRQAW4FN/8Ad+48xEX17m1bAxDQ1F2Yi4o6NjYGAgviwoF8W9\nhlDmdsPtVo6/9z1e45KO5K5D8c+CgoK3AXVtcW0tAh9y/U1NMWQYU3xJDmC2k54o0vbFL34xvns6\nHOqy8+vXsbeX0nZRJEwIKdVefRUXL+Kjj/T6Jtvt9l///vfl5/7cP/zDnLgSTbeo6wo6OtDYmJGm\nUHw+9alPRfitx+Pp6uoKLii6usoSKXHo7FQO1tdx966eLSFD2dvDK6+gtRX372fyollMKhkaGoLF\nch5Qvsybm2htzVAjGDJyVHC6uLmJY8fw+LFOzcm07e1tUaFNlPKOw7//96xNrQsmhJRSq6uYncWd\nOzh/Xuz5lnlf/MY3Hr3+unz86i9+8df/+T/r1ZJDurpg+iGmbHThwoXgH+3u4uRJnDiBxUU9WpSF\ntIOE16+brb+cwnr+HIuLuHULDQ26fCpKS0u7uroWgcviR/fvY34+8y0JgSHDwMINEgb/3O/HmTNY\nXMRrr+HSpUy0TG8PA1XWi4qKCgoK4r4/N7DVCRNCSqn795WDoiIkcCJIncoHD/6PX/91+fgz/+E/\n/MNf/EV6n49lx7JWIiXjLl3C+jpmZ3H8uI4dH5mX4JRRmRgkXF3lICEpfvhD5cDt1iv5aWtrKykp\nuQ08Av4qL++v7t7NRClUhozsF7IyR/CNbt1Stzv6rd/KcAt18ctf/lI+KC5OdDOX7m51kPDevRS1\ni6JgQkgpJaK72PlNJ1ar9XMPHvxVXh6Al371q7/5V/8qvc9nvh1mc0bcq0Fu31bnsXR2mqr8QIJF\nZWRikNDpVGqLE4k+xK99Ta8mWCyWoaEhm83WABRLUvWtWwcZGJRgyDCD2Vl1j/XKSjQ369qaDHkS\nqMwU9wJCQbuSkBvYZgoTQkqdgwPMzirHgRmbOjp+6tTkv/7X8vG/+Ou/Xm5v17c9lKUOZYzLy7hy\nRTl2u9HSokuTslVXF3p6sLCA6mq9m0IGsLqqVnDRdW/PwsLC/v7+TWAXeP78+dtvv61jYyhH7O3h\n/HllM0OnE4ODCFqInot2d3dnA9eB1cmc5+WVhEVF6Okxw/tmBEwIKXUePlQ6cvLzUVamd2sAoOre\nvZFPfxrAPeD3f/SjvbTWuWGPb9aKdZDw4AC1tUq1JIcDQ0NmC1S/+tWvkrp/WRna2pSq4gDy8jhx\nztTE8GBxsb5LDADU1dXV1NTIxzdv3hRlEtOIISO3XbigLkbt7TXJtIj5+Xm/3w/Abrc7nc7EH6io\nCDMzmJtDTQ0sFgaLDGBCSKnzZ3+mHFRUGORC2Wq1/vZ//a91v/ZrtcD00tLly5ej3ydNGPtzwOXL\n6mqQgQEksI4uy4k1hEntxyiHdhHdg/5J5iFCht5LDGT9/f0ulwuA3++vra1NbwdiVAwZWe3DD9XF\nb93d5pkTIeaLlpSUBJfmjldREYNFJjEhpBTJy8ODB8rxG2/o2pRDfufLXy7s6JCP79y58zitpZ8Z\nwrPFkTUJ0UvGPX6s7gnW1KTvDDe9+AN1IF988cXUPzrDvKnk5eHZM+XYGCHDbrf39/fLV7Grq6sN\nDQ1pf0qGjJy0uKhuXlJcjLY2XVuTUT/96U/lg8QrysSCwSINmBBScrQdNvJceasVGdv6LzYdHR1F\ngapxFy5cSPvEUW2Ml//JqG8Q29u4dg0nT+KVV47WuA+qEXfon9vbOH9euUthIXp6MtRgg/EnvzEA\nA7nJaUOG/HFyOpHWa8d4uN3u9sBq8/v37z8QvZzpw5BhcLu78RU18fvVlQV2O0ZGDDJhKjPmA7Nk\nv5Z8mSgGi8xiQkiJCjdwf3BgtLqLchE50e97KQN7ATGoG5PVivfew7NnWF1VJ38eFrp6eG2tUv3C\nasXgoLoKzmTElNF04RVADgsXMtbXDXXF3NnZKU8cBdDQ0LC6upqJZ2XIMKAbN3D8OD772fj2lL90\nSa2u19ur++LYTJqfnxcxIpEt6ePCYJFqTAgpDYz3RS0qKnrrrbfk47t37z569Ejf9pA+bDaIKCWm\nq0X1zjvqBUFPD0pLU9+wLCFGCO3mKJBAGWKkkCF2oQCwu7vb0NCQgoFxyka/+AWeP4ffj5/8JNa7\n3L9/aGVBfX16WmZQzwJRtbCw0GbWbtPsxYSQEmKk+B2ja9eulQVqnzY0NKR9rIOM6atfVQ5ijPHP\nn0PUoK+oQFNTWlqVbRJMCLPwvEEmVFxc3NnZKR8/efLk5s2bAI5OMqcc9/WvKwcxjhBub6tLB025\nsuAXv/iFfFCR/Bp7BouMY0JI6WHIL7PH45F7rTY3N1vFiZtMpbxcOZiaUla9RnBwgIYG5ULQ4YDH\nY6i5bZm3G/Udi4wz4kwrakQwWMhoa2urqqqSj69evfo316/jlVegb91RyjAxGWRxEdvb0W/f0ID1\ndcC8KwvE3KuvfOUryT4Wg0XGMSGk+BkscsfO5XKJiaP37t27J6pCk3kUFytrXPf2wi0jVF25om4k\nNTiIZHZVyglix+EEiX3nwuFFABlGf3+/vL3KkN//v3R0YHkZGVh/TsbhdCKwmhRRl5ncuoWHD5Xj\nvj4TrizY3NwUC25TUGI06oA8g0WqMSGk+GXz97C9vV1MHG1tbeXEUdOxWNRQHTkhfPQIt28rxy0t\n6tCiKeXl5eVpeoISWR9y7x5qa41WcYoyJAujhsPh6O3tBfCx+NHdu/joI/1aRBknTvt//ueRbjY7\ni6tXleO6OrMtHZQ9D8RTm80myjIl6PFjHDuGlZUUNItixoSQ0sPA4V9MHMXm5vqxY1he1rtFlFlf\n+pJy8OMfh73N6ipqa5VOSpcLXV2ZaJghBaWCsnPnzsX3KLOzuHgRfj+2t1FYGPo2Bj5pUNoZ8q9f\nV1fX1NR0B1B3n7h0SZkWSGYggkVgv/UQdndx9qwyndjhQG+vOVcW/OxnP5MPSktLk9qSfnYW585h\ncRGnTmFhIfRtDHm6yHZMCCkh2fxtdLlcPT09lcAMULK9vVVRwWoB5lJdrRzMzobeYMrvx/nzygpD\nmw2joyZcDRLV0SwxrNlZvPaa+n4ODYXee43IePr6+oqLiy8AyvLZ3V3E2xtC2au8XMnu5ufDdgRc\nuQJ5qqTVipER006CmJqakg9ef/31xB9ldRVnzijBYncXe3sMFhnDhJASFeE7afiva1NTU3FxsQMA\n8Nm/+Iv/8Ud/pHODKJNcLshFMg8OQpePe/YMgdiGnp6wI1omEEfWF876Ok6fVkoyyBdMYucP7r1m\nKtkZMiwWy8DAwJ7VekH8aGoKct1RynnaZYQiKAR56y1lGUJnpwmXDsr8fr+YMlqa8JuwuYlTp9TE\ne2CAwSKTmBBSEo5+P7PnG/vtkZEfvPCCfGy9fTvsuZ5yj8UCURQ75DJCtxsjI3A6UVGBxsZMNi27\nRE8X19dx6hTESt3BQZMvxTS77AwZxcXFb7311n3grvjRlSsMGWYhcpJwOxU5nZichMeDlpaMNcpQ\n8vLyXnjhhb1ADd6TJ08m8ii7uzhzBoGyNPB4ECjzS5mRJxn+XEyUJoMez4k/+AN59Mf7z/7ZS6ur\nnBloFrdvKwUDi4owNxf6NtvbsFhg4h3YYxkejBRBdndx4gQWF5V/9vdzF0fKUn6//+TJk7NTUwtA\ngfwjlwvT0wwZue/hQ5w5AwCFhVha0rs1xhIhRsSXXPj9OHUKgX3t0deH5ubkmkZx4wghmdf5Cxfe\nLy2Vlw++9Pd/7+VYkHmIEcLFxbC7EebnmzkbRLwRPcjBAc6cUbPBjg5mg5S9LBbL2NhYvtN5HlBW\nnC8ugpvZmoGYALm8HNNuhAQg3uUGFy6o2WB9PYOFLpgQkqm9OTJy3WqVj1/60z+Nvk8a5YbCQhQU\nAIDfH32DKfr/2bvjoMauO0/0X7Vvx3Iir5WMPFEqykZeyzVyWUxEBcriBdZiAxuxgQqMYQMx7IiZ\n5gXW9HOzwRX6uXnQBS7ag1PdKciCR2REBlzgBRdsgRf8IA91gRd5YB7ygKfltbytTOSyUtZMK2vl\ntTx9Hb0/rnQRQhKSEFxJ/D7V1XUlXYmDkO7v/u4553diiJkxsixqavYD/JUrZ7lMK8kNUqnUZDJZ\nGeYaf9fYWPRJyCSXyGTBYIEEViMkKWhrw/h4cNtohMl0Nsu0Co4SQnKmyeXyR372M34uyO/+7M9A\nKxOeEfxktlCxbHJYip2ELS37Z06dnZQNktxgMBiMRuNVYH/6YFMThYzcxxempmAR5sg+wIQ6Ca9d\nw+hocLuxkbJBAdEcQkLQVFp63WLhakX79HrJ2prADSKnYHISTU3BbToMxhU1rseMHd3d6O8Pbjc2\nwmymAE9yhs/ne/zxx8Uu1w4QnD5YWYmFBWFbRU7W9DQaGoLbFCxCjjvJHMDwMDo6gut+abVYX6dJ\nuQKiHkJCMDg11f/QQ9y2xGLB8LCw7SGnQa/f3xaJcPz1FXLU3t6e5GCQDgQCMcP8yy/vZ4NlZXS5\nl+QYiUQyNTXlEotf4u9aXKSQkePC11GgYBFy3P6kycn9bFCtxsoKZYPCoh5CQgBgenpa3NDAFTn+\n/blz59577yyvPpf7YkV0Oh4e5Pf7i4qKbDYbAJlMduvWLVmcZZfHx9HSEgzwBQVYWTnjVXlIrhod\nHW1ra1sD9NxthsGtWxQychMFi9jidxLGyy+Wl1FXB26lCqUSa2v7EzWJQKiHkBAAqK+v/3+qqrhl\ndM79/vd3q6vh9wvcJnL66NLvQR0dHVw2CMBkMsXLBhcX0da2P/hnaYmyQZKrWltby8rKmoBghWKW\nRUMDhYyzhYJFyqxW1NQEs0GZDEtLlA1mAkoICQn6P//yL6+EBo4+8O6797q6hG0POSkUyBOzuro6\nNjbGbV+4cKE6zjLBq6uoqwueECuVWFhAnNSRkOxnMpm8Esn+uhPb2+juFrA95ERQsIiNv1aYHLsd\nVVXBYMEwmJuDWp3ehpHU0JBRQvZNT08zDQ1cQbHfnzt37uZNFBcL3CaSdkfGeDoqAl6vt7Cw0OFw\nANBoNJubm5JYEzx8Pjz2WLDWolSKzU0K8OQs4AaOzgDBGpQMg/X1A/PNSLajYBFbSUnJBr+20EEx\nMwsuG3Q4AIBhsLCwvyYwERr1EBKyr76+fu0HP3ABAM79/vd+fow7IWdMU1MTlw0yDDMxMREzGwQg\nkWBkBAwDiQQrK5QNkjOitbX1woULLQAXMrx6PX34yRkxPj7OZ4Obm5uBg2I+zWqF0xncNpspG8wo\n1ENIyAFer/fPH3309X/6J+7mvWeeOT85KWyTSDolMgTozB8Vua4Pbrunp6e3t/fo53ALD1KAJ2eJ\n3+8vLCyU7e1JAHdBwfr6+gMPPIDjF2AkmYCCRQx+vz8vL4+7Ymg0Gs1mcxJP5mqPDQ2htfWk2kdS\nQgkhIZGWl5f3Kio6+dszM/vr0pIcQKOA4nI4HPn5+T6fD4BWq93c3BSLxUI3ipAMtb29XVhYGOtR\nOsXKbhQsount7b169SoAsVj8/vvvKxSK5J7vcFBJ3gxEQ0YJiWQwGG79h//ATZf2An/3d38ncIPI\naTqTAZ7HsmxbWxuXDUokkrm5OcoGCYmjoKAgzqOJLN5NstWZDBZ7e3svvRRchrOnpyfpbBCgbDAz\nUUJISBQ/+elPO2SySeBx4HsTEz6aSZhLzmQUT1B/f//q6iq3PTAwoKRq4ISQM4uCxSFXr171+/0A\nVCpVZ2fnkfuTbEFDRgmJzmKxlJeXsyyLFEbJk8wX9cr92T4ebm9vFxUVcZ/56urqmZkZhmGEbhQh\nme7IbkA60cpuFCxCws+LFhYWKisrhW4RSRtKCAmJqa2tbXR0lNteWloyUMGM3MNH+jN/JPT7/UVF\nRdzSUgqFYnd3V0oryxNylEQGhdKJVi4488GCZdm8vDy73Q7AYDAsLS0J3SKSTjRklJCYBgcHVaHB\n7i0tLV6vV9j2kPQLBIL/zryOjg5+oWGTyUTZICGE7DvzwWJ0dJTLBsVisclkEro5JM0oISQkJolE\nMjU1xY2ac7lcly9fFrpFhJwIi8UyNjbGbbe2tkbvDGfZU20TIdmAev/IWeD1eru7u7ntzs7OVGrJ\nkMxGCSEh8RQUFPDTpkdHR5e5xdYIySEej6ehoYGbFqJWqwcGBqLstLyMoiK43afdOEKyHGWMJAdc\nvnyZGyQlk8mee+65eLvabBQpshElhIQcoa+vT6PRcNsXL170eDzCtoeQ9Gpubna73QAYhpmZmYky\nWHR1FTU12N5GURGcztNvISFZSgaguRlUp5pkM7vdzg8heeGFF2QyWcxdnU5UVKC0lHLCrEMJISFH\nYBhmYmKCW43N4XBcvHhR6BYRkjbT09OLi4vc9gsvvMBf+9hns6GuDn4/AHi9dGpLSIRYfYBG4O/v\nvx/j46DpBiSbtbS0cENI9Hp9e3t7zP1cLpSXw+2G3Y6iomDUIFmCEkJCjqbVal944QVue3p6enp6\nWtj2EJIWDoejra2N29br9VeuXIncw+VCTQ24ckoSCebmcDhjJOTMCwQCh9PCbwMPf/opAAwPY35e\ngGYRcmyLi4sbGxvc9sDAQMy1iLxeVFXB4Qje/NGPIBafSgNJetCyE4QkhGXZwsJCrgyjXC6/NTAg\nNRgglwvdLkJSV1FRwU2LFYvFu7u7fE3dIJcLJSXBMaIMg4UF0MorhCTm4sWLk8PDu0Cw+IZMht1d\nChkku7Asm5+fv7e3B6CxsXFiYiLWfqiqAl9kYXAQtGZ9tqEeQkISwg0clUgkMmDQ7X7wz/4Moa4V\nQrJReJGkkZGRyGzQ50NNzf6MQZOJskFCEtfT0yOWy+v42x4PWloEbA8hKejv7+eyQZlMNjg4GH2n\niGywq4uywWx0X29vr9BtICQ7/OEf/uHnP//5R998s5O7lGK3Q6mEVit0uwhJ2vb29ve//31uWkh9\nfX1/f/+Bh30+VFXhv//34M3BQfzH/3jqbSQki33+859XKBQ/ff11CfC/cXf9j/9BIYNkEYfD8cwz\nz3Bh4sUXXywrK4u+37PPgp9HU1+PoSGco96m7ENDRglJjqGsrPeXv9QBAAIPPSSy22kUEMkuLMvm\n5eVxSwzL5fKdnR15+GeYZVFXtz/l6coV9PUJ0UxCsl5TU9P05OQ6wIUMiMXY3UVEbzwhGammpmZ+\nfh6AWq3e3d2NPnuwvx+h9QlRXY2pKZo6mKUoiSckOaNjY433388tPSH67W8DRqOw7SEkWZcvX+ay\nQQBms1kecUWjrW0/G2xsRE/P6baOkNwxNDQkk8ubgWBxXr8fTQ+RYcwAACAASURBVE1gWWFbRciR\ntre3+QLUg4OD0bPBGzdw9WpwW6ejbDCrUUJISHKUSuWll19+PnRT9OabGB4WskGEJGNjY+PGjRvc\ndmtrqyFiZmBbG0LrTcFggMmEWDXlCCFHkUqlJpPJDnTwd1mtuHZNwCYRkoi2tjZusKjBYKisrIyy\nx+goOjqCVzdUKiwsUDaY1WjIKCGpKC0tfdZiqQUABL7wBZHNRqOASObz+XyFhYVc96Bard7c3Dyw\nDP21a/sLpun1WFiARCJEMwnJKRcvXhweHl4BgnOwJBLs7FDIIBlrdHSUW5FILBavr68XFBRE7rG4\niJqaYDaoVGJlhT7P2Y4SQkJS4XA4DFrtxu9+xw22C3zzm6KNDbo8RjJcc3Pz+Pg4AIZhdnZ2DixD\nPzmJ5uZggNdosLYGmUyYVhKSW3w+X35+vs/huAUEL8DodFhfp+53koG8Xu8jjzzi9XoB9PX1RVmf\ndnkZdXXw+QBAKsXmJtTqU28mSTMaMkpIKlQqVf/YWFPopuhv/3Z/JD0hGWl8fJzLBgG88MILB7LB\n2dn9bFChwNwcZYOEpItEIjGZTB6G6ebvooGjJFO9+OKLXDaoVCovXboU+bDNhoaGYDYoFmNpibLB\n3EA9hISkrq6u7qnZ2Xb+9vo6iosFbA8hsbjd7sLCQpfLBUCn062vr+8XCbBaUVoKvx8A5HJsbkKp\nFKyhhOQobuDoAhCcj8Uw2NzE4cF4hAhne3u7qKiImz04NTVVX19/4GGnE0VFcLsBQCzGzAyiTi8k\nWYgSQkJS5/F48h5/fNPjUQIAAl//umhvj6ZdkQxUV1c3OzsLQCwWb21t7XcPWq0oL9+/3Lu+Tmeo\nhJwEbuCo1+G4BQT739VqbG1RyCCZo6SkZGNjA0BBQcHm5uaB4qIuF0pL4XAEb05NISJdJNmMhowS\nkjqZTDZ4/frF0E3Rr36F55+P9wRChDA2NsZlgwBGRkYODBZdXg5mgwyDuTnKBgk5IdzAUS/DNPN3\n2e37ZZwIEZRIJBKJRFw2COD69esHskGfD1VV+9ngwABlgzmGEkJCjqWxsVFSX7+/7sToKCwW4ZpD\nSCS73d7RESx6bzAYjBErZ/b2Btedn5lBxBIUhJC00uv17e3ti8B+yBgeRmi1N0JOnygk4v7iiPkv\nEgm+973g9pUr6Oo6ldaR00NDRgk5Lo/Ho9NoFn/zm+DEarkct24hvJo/IQJhWTY/P39vbw+AXC7f\n2dmJXIaeY7dTYQBCTgHLsqWlpbaNjS0g+JWTyXDrFpVxIoI4nAryoiQI167hww8xNHSybSJCoB5C\nQo5LJpMNj4833ncfy912u3HxYvynEHI6+vv7uWwQgNlsjp4NApQNEnI6GIYxm82QSBoAlr+XH4lH\nyCmKkw1G19VF2WCuooSQnHnJHhCjMRgM+c3NL/K3JycxNnb8lyXkOKxW64svBj+VRqPRQCNCCTmO\ndAQLACqVqqenxwa8CEwCN0dHodOl5ZUJSaOk00WSzWjIKDnDIg52x/sucBXkphwOrihH4AtfEG1v\nU8cLEYrf7y8qKrLZbADUavXm5qaUhjETkpq0BgsOX85RLpfv7u7KaMgoOXVHpnyUI5wd1ENIziSR\nKMq13uNdDJNIJENDQw2Al3ux3/0Or756nBck5Di6u7u5bBDAyMgIZYOEpOIEggXHbDZLJBIAbrf7\nIs0yIKeOOgBJOEoICQlzvOOjwWAwtLd3AD6gDXibRugRgczOzt64cYPb7unp0ev1gjaHkJxz7JNp\nbuAotz09PT09PX3sNhGSBOr9I+FoyCg5e+IH8tA3QiSK8e1wOiGXQyyO+myfz/f444+zLpcb0Gg0\nOzs7B1byOXkxm03ODK/Xm5+f73Q6Aeh0uvX19VP+EBKSI+IHC70eEgm+9a2IEvxJHYT5gaNSqXR3\nd1ehUMRuS5qP7RQszjin0/nII4/E2YE+HmcKHQ7IGeP14otfjL9LxClA5HeEO0VgGHCRm0sOxWLI\n5ZDJ8IUvfPCrX/3FX//1P//+927gT37wg5aLF8GVdpRITq6w+OGxH/TVPrOqqqoWFxcBiMXira0t\njUaD5WWo1VAqhW4aIVklkW5AvR5razjyIFxaCrsdYjFksmAskEgA/NPnP//K2Nj//Od/ZoF/9a//\ndfeLL0KhCAaUYBPSf2yPeE0KFmeQz+crLCy02+1x9qEPxplCCSE5MzY28PrrCI2jiyPqKUDwm8Ky\nOH8+9TYolbh9++jdbDYwDCSSRHLI5BYRylIiUVqqOJwF09PTDQ0N3LbZbDYajVhdRVUVlEqsrSHW\nshOEkHAuF772tYT2rK0Vzc7GenD/IFxaCosl2VZ4AB/gBmoAd9SXTVKseJE7wYJDIeMoNTU18/Pz\nEXfKgEGgA/Dm3keCHIXGEZFcx7KYnsZLLyG0GltqRCLR7du3Gbc75oCeBHz6xS9+5HQeuZu8rU1s\ntfI3A/ff/9nDD/Mbgfvu++wrXwncd99nDz8c+Bf/whg6afABHsAN+MPanN3H9PBzF247q3+dk+d0\nOtva2rhtg8FgNBphtaKqCn4/7HbU1GBzU9gWEpLpNjbw859jcjKhna9fh1KJ2Anh/kHY5UqhLTJA\nBijDjuqRLxuutxc//Smk0sgBLBIJ/uAPAEChMIZiBBc1ELqZ9cGCQyEjMd3d3Xw22NnZOTg4COC8\nSDQHFAPG4mLMzQnaQCKAnDgEEBKVx4PRUfz850ggB+MlUihAAUgArqtFDogBMSAHvhy2zT8kAfg+\nvmWgIoHX3wSOsyjVI4AztB3zC+5wwGbbH7wklSKjqlDGGalFh6wYWJYtKSmxWq0A5HL5zs6O3O9H\nYSE8HgCQSrGygoICgVtJSGby+zE9vdfcrEn8KWETzuPstba2BuD+jz8+9w//cOfjjx/47W/v3rnD\neDwMy3722Wef+/hj0WefiT0en9erAMRA1GuOh3+AMjQCXCaTcdVKjU7nnyYT7MJ5ANnMDGprj9iP\nZeFyhc+iz5RMkkJGwsbGxlpaWrjt2traqakphmHAsqiqwvJycCezGUajUC0kgsiMbzIh6bW4iFdf\nxeIifL4D9+t0+OEPUV+PBx6I9dSTK8MsBcQHh/3EsgbogOhVaxLwwMHLyXq9/qmnntLr9QUFBdx5\nAwCMjSEUEg5QKIJXl8P/v//+4PVmLm+USqFSgX+pk5BY4R8Srr+/v7u7m9teWloyaDQoKQleDRGL\nsbCAsjIBm0dIxqoRiYYOZ2JKJZ57Dh0dMZ8WCOBkavdzVxX1gANgABkQswsyjAm4cIwfWgVMffKJ\nJP6B3elEqAyJPxTOuA29Xg+5HFIpvvxlIBRKuHgRvn1CKGQkxmq1lpaW+v1+ABqNZn19PbgiUVPT\nfq94ezuuXweVIjtjKCEkuWV5GR0diJgnLZGguhrPPgudDgDLsna7XZOXd/jZmbYojzSURnJdjlxn\nIwMogPsARWgHritSBkgAPxAz2QXUarXBYHjyySf/7d/8zZeuX0+9ZYlcPvR6MToanLTGnRBwHZKJ\nFNeh6J4km81WVFTEhXmj0Wi+fh1FRftfhESu/RNy9nDpnAbYDbvTArwIrNy7FzwnjnY4enlw8J13\n3rHb7dvb22lvlQQwAfVAA5D4YhTc4FJJWMhQAAzwECANu8n9Lz90zbEE2ABUKpVarVapVE888YRG\no1GpVLLww7XViqKi1H8xoxFm89G7Wa0QiyGVxinoHYlCRgKcTmdJSYnL5QIgl8s3NzeD/cwXL2J4\nOLjThQswmQRrIhEOJYQkt1gsKC3dvymX47nn0Nrq8HgsFss777yzurrqdDq582YA/Kc/kVTwdiL1\nYA6y2Ww1NTXcdmVl5dDQULKvcKSIstEKIJGpKu1A+/nzX/rc56Qse/7TT5P+qRMTaGw8Yp+wa8nR\nKRTB0apcST2GwVe/CpkMiazRTAeuMCzLFhYWcsvQy2Qyh832UGPjfgWLoSG0twvYPEIyFt+/twCU\nAePAzwB+unkgEPB4PHa73WaztYeOSylcN1QoFAzDiMVieaiqU/i2XC6///77AXz22Wf9/f0I6+vz\nAY/HPqSbzWYAHo/HFxoL8+GHH7IsC8DtdnNhzuv1er1e7lFntAGlfJZoC80qjKBUKlUqlU6ne/TR\nR791585j/+k/Jf8GhCSYbDzyyIGJHnzNVS4/5C4visXBrki5HKGJ0/Gc+ZARXlZULBavra3pdDoA\n6O3F1avBnXQ6rK0lmoST3EIJIckCyc1SyMvD3t4///Ef7/y7f7f50ENv3ry5t7fnijuhX61WFxcX\nj42NxX/h1L4so6OjfJ2PhYWFSp0uOOk/TeIPWNrZ2dnY2HjrrbesVmvUswHOV++/vygv74//+I/1\nKpVapXr400+Dc0VYFh9+CL8/WBHB44HPB48Hc3Nxxh8G/14bGygpSf0Xi48OXGE6Ojq4ZegZhnnj\n9df/7fXr+9lgTw96e4VrGiEZjT9+qkL1PMMpFIr4sSMRSQUOrj0y4P1Qt94GUAqwx3vZ8BePRSaT\nebj5xkfhckh+enx4h2TflStwueD3w+0GALc7GD5YFgCuXEFf39E/4IEH4PcfvVtSznzICC8rOjEx\n0chd0r1xY39QdHExFhYyq5oAOUWUEJLMldT6SyzL7u3tbWxssPPzb7/77qzHw10ojUoikej1+m9+\n85vFxcVarZYfEnNCSziUl5evrq4CeObLX/7rQOBcW1saz9Hjx/jwZjudTovF8vbbb9vtdqvV6o8d\ncZVKpU6ne/LJJ4uLiwsSLkMS0RItsFNdDa838pwgLejAFWKz2QoLC7lP+6VLl647neCLiXd1YWBA\nyMYRksFSm/4nkUjUarVGo3niiSfUarVWq/1a3AUqUkgIAbQCI6E7rwK9x3vZw69/WCAQcLlc3KXD\nd999d29vb29vL06YiPM60R9wuSCRHJ1v+HzIy0tzvMBZDxkXL14cDg0KbWxsNJvNDMNgehpNTcH3\nWaPB2trJLZVMMh8lhCQTJZiYud3ujY2Nd955x2Kx7O3t8QNjolIqlcXFxd/4xje4JFAcY1DESSzT\n5HQ68/Lyqn0+M7/Sy9ZWGus9ptBmv99vtVotFsvNmzftdrvbHbPYjVQq1el0Tz31lE6n0+l0Ud+3\nJBJpro+RSxHD///HfwxWAOJuxl+wi45aIX6/v6ioiBssqlAoHOXl9/NTdBobYTZTYQByZgWHKiwv\no6zs8BfB5/M9+OCDR74IwzAqlUqj0XzjG9/g8kCVSsUcerV0BY7w15kDqgEALJAHhM+MP048itrU\nWC/IpYXvvvvu9va2w+FwOBxHvn78tiU33ocLBywLtzv4P39t8Xe/C9ZPdrvh82FjI36bEv2JuSi8\nrKher19aWhKLxbBYUFUVDLvcKrWhurXkbKKEkGSiqBFLC+wBLGA2m996663FxcU4aQwAmUxWUFDw\nrW99S6vV6nQ6WTKXvvgGpOsL8vLLL199/vldQMndVqmws5PeQp3hb1qyzeY6D2/evGmxWOKMLAWg\n1WoLCgq4/FClUh3+0Yel8h5ShYDE8Nd9GYb58Ac/+MO//uvgAwYDFhYoGyRnk0gkUgK1wJ8Dahwo\nqmS326enp3/5y19ub28n0v119+7dWFcPo/5cfvv4QzplwG5oNKYdyAf86QtJqcW4RPpUTSZTY2Pj\n4Tct4rlpPvmkkBFDeFlRtVq9vr4uk8mwt4fS0mBGLZFgawtqtcANJUKjhJBkovDIwQC1wLNAMVAF\nLMZ+llgs1mg0Op2OGwuqVCoPX8cVUElJCbuxsc53Evb0oLc3UxZxChPeeRh/ZKlMJisuLuanJcSS\n4i8YK8Bn2NsloPHx8ebmZm576TvfMbz5ZvCBggKsrZ3suiCEZCSRSKQFngMa+SMtsA24FxbefPNN\nbixJ4q92ygfnw+mWAVgI/SLDwMVTb9JhieSEcrn8ueeea21t5ZY0OKG5GIdbFutnpO1HZBu73V5S\nUsJNDZVKpevr6xqNBk4nSkv3VySam4PBIGw7SSbIuJNRQvjgoQR+CNQCqtBDq0D5wZ1lMhk3G1Cv\n18cZCJoJ3G53Xl5eu8fTAwBggRLAGno0M7+Jfr/fZrPZ7fZEOg/jSPS3s1hQXHygXys8xmfkWyQU\nj8fz2GOPccOkf5KX959u3QpOBVGrsb5OU0HImePzYXp6uaWlLCwVBMAC08BF4PCMArlcHn+YieAJ\nIYAhgKsRzAJFwJbQh8HEJ15KpVKj0fijH/0ojXMsj0YhIyS8rCjDMAsLCwaDAS7X/vq0DIO5OVRW\nCttOkiEoISQZRyQSFQM/BgwH4zoAK1AO+ACj0fjUU08VFxfzoxazwuTkZHNT0zqgAwC4gHyAL+uW\n+V9GbmTpe++9Z7Va43ceRkjoV3v+edy4EVwSlxylrq5udnYWwHfuu2+JYUTc2iFaLRYWoIhcYZuQ\nXOb14ic/wfAwDk4j9wCTwCsHZ98B0Gg0BoPh6aef1ul06R/ufjyH28MAu9zAV5zIXINkxX/HLl26\nNDY2xi+DkYjMD3zZiGXZqqqq5eVl7ubQ0FB7ezu8XpSWwmYL7pTIesLk7AgQkjnu3g2MjATU6gAQ\n/u8uMAIU5MTnFoAa+CT0q5mz9vt49+7dtbW1np6eNBxn7twJVFbu/8UnJk7lN8hiIyPBAoRlAHv+\nfPB9UyoDH30kdNMIOUVbW4ELFwIyWUTIuAVcAg6nTSaT6aND35GMOjWK2pgC4B7/2xmNQrUtfiP5\nR+/cudPX18evspiGABHh3r3A7dvp/Y1yT2trK//2dnZ2BgKBwL17AYNh/2tiMgndRpJZqIeQZIa9\nPfz85xgfj7jEawd+BswfXJk3qz+03OXVCwC/Om8TMBnazsZf7cgRREf8UlYrGhr2lyGWyzE1Bb0+\nLW3LSQ6HIz8/3+fzKYC/v//+B7m+QZkMm5vIqg5zQlI3O4tXXoHFEr44ATc69BeAJdrCfciGA2ys\nw+kg0MnfmJtDdfVptShFfr9/fHy8LZEl45P6u3g8aGrC3h62tpBMznmmhK9+bDAYFhYWGIZBczPG\nx4N7DAygq0uo5pHMRAkhERTLYn4ev/gFlpcj4vos8ApgifakrP7Q8vF+BeBWdvcCj4TNb8nG3y71\nYVc3buDy5f01iMvKMDFBYT4OlmVLSkqsVisAmUzmrKn5gskEiQRra2lcyISQDOX1YnJy7+JFzcG7\nAw89tPLVrz73939vj/600G7ZcHSNdTjdDM01gEyG3d2sOE6yLHv+/Pkjd0v072KxoKEhuOS9Vov1\ndSqddZjFYikvL+dWptVqtevr6xKJBNPTaGgI7mE0wmSiGtQkwjmhG0DOKq8Xw8N4/HHU1WFxkc8G\n79x338vA14CGGNlgVguP9E2h2YNS4CzOmfP70dyMjo79bLC1FXNzWXGWI6D+/n4uGwQwNTX1hb/8\nS/T0YGaGskGS2x4Uia6JRN4vfhEHs0EnsPknf/II8J2cyAZxaPzk3bt3tVotgCbg/zt3DgA8HoSW\nlctwiRT6TvTvcu0aqqrAFwHSaOLufUa5XK6mpiYuG5RKpRMTExIuZ66vx6VLAFBbS9kgiYp6CMmp\nc7lw+TIWFyNGh9574okrv/71X/2v/+WJ9cTsieixRFz6bQVGQtv8wNEs/R2TWuwYdjvq6sDXf5dK\nMTFBtc6OtLe3V1JSwlUWNRqNZn4NekJy3XmR6H1+HVeABSzAz4F5IMHaVll6aAVgsVhKS0sBXAq/\nepgNA0c5x63c4/OhuRmzs8GbDIOBAVy6RFlNhPCyomKxeGFhoays7MAe4+Oor0cGF2MnAqIeQnLq\nJBLMz+9ngwyDxsbbf/VXeX7/X4Sywa6urnv37h2e8ypco9Mj4lcYBZZD20NAVpeGvMRdfQS0Wu0R\nf6/ZWRQV7WeDWi22tigbPBLLsk1NTVw2qFKpBgcHhW4RIadEJBKxwE8BAF7gGvAYUA5Mh2WDDMN0\n5ei0KL1ef+HCBQA3gNf45Kq5GQ6HkM06HTYbior2s0GlEisr6OykbDACFyC4bBCAyWSKzAYBGI2U\nDZKY0laehpxxSX2WLl0KAAG5PNDZGbh9e2trSxa2bFpfX9+JtVJ4EV9ABfBxqOrXJhCIlgZnvo8+\n+ohfAXJoaCjmfvfuBXp6AgyzX+jswoUs/ZVPH3dGCIBhmJ2dHaGbQ8jxJBMyuE++FGgHpDFOZnZ3\nd8N3zrFTnU8++YSr2ykH/vFznwseP/V6oduVqBRPQWdmAhLJfrwwGAJ37pxKe7NPe3s7/662t7cL\n3RySfbL+KEkEdrDYd6Ix/v33A0NDgbt3A4HA0tKSJGxeuCnXSyEfjoiV4e9edibDV65c4X4XuVx+\n9+7d6Dt98smBmtdiceD6dcoGEzQ1NcV/YHp6eoRuDiGpSilkxEon4qQWOZMK8mZmZrjfqBr47Ny5\n4Lu3sCB0uxKVdIre13fg6uHAAMWLWCYmJvjpmsXFxTGjMCGx0RxCkqo4swIS/lDNz8/X1dVxE6DF\nYrHZbK6vr09L6zLZ4QkVZsDIbUkk2NnJrsUD3G73Y489xq1EHFz99jCbDVVVcIVWD9FoMDMDtfoU\nm5nFvF5vfn6+0+kEoNfrV1ZWEinVQEhmiR8yvF5Io3f+HbmwTeg1cv9kpqGhYXp6GsAQwzx7//2i\n4WE0Nmb+4Mk4f8HofzWfDy0tmJ4O3pRIMDGRLRMmT9/q6mpVVZXf7wegVqvX19fDh1wRkiCaQ0hO\nQGLxe3p6uqGhgQ3VF52amjoL2SBCV0bD77kIOLktnw9NTeErcGS+sbExLhuUy+X8sMYDxsdRUrKf\nDZaVYXOTssHEtbW1cdkgwzBDQ0OUDZJcIxKhri7Wg2ch00vQyMiIVCoFcJlln/s3/wZGY+Zng/FF\nyRU3NvD44/vZoFqNzU3KBmNxOp0NDQ1cNiiTyRYWFigbJKmhhJCkJLGUL47x8fGmpibuKCYWi+fm\n5qrP2BGf76avra31Ac38SspWK15+Wdi2Jc7v97/yyivc9rPPPiuOmLDOsmhpQXMzfL7gPVeuYGGB\nFo9K3Pj4+HTo3MhkMmmo2DrJSaursNlSfvYZSRqlUunAwAAAHzC0sMAfGTJZgh28QePjKC/fv3pY\nXY3NTVphIhafz1dRUeHxBEuzm0wmVVYNLyKZ5fRHqZJccHgeSDIzQ/r6+vheDqlUura2dlrtzkS3\nb9/mZlH2ce+bThe4dUvoRiWKr3UplUrvHJ7uPzW1/3lQKAJn+w+dgvfff//pL3xhBhADtbW1QjeH\nkFQlEjJGRuK+AJ3JBOn1eu63lsvlUY66GSbRE9F79wKdnQcmDfb10aTB+CrDqnMPDQ0F7tyhd4yk\n7GwdRkl6JBLaD0bo8IDd19fHH8KkUunW1tap/wIZh0urGOD/OHfunbffFro5ibp3755SqeT+lF1d\nXdF3amwMAAGNJnD79qk2Lid0lJR8AgSAjQcecNntQjeHkFQd7xriJ598wh9qzng2GAgE3n//fb4S\nm9FoFLo58SSSDQIIfPRRoKBg/5MglwfW14Vue4biP/D8Uk8AWltbA4FAQK8PGAyBTz4Rsn0ka525\nIylJj4Sje8RxnxvuwlEqlbeypyvsRN29e1ehCC5DWFlZKXRzEsWXvhSLxb/+9a+j73TnTuDKFQpR\nKZh54QV+SZLPPvc5OkMi2e0YCWH0UlVnLxXkhS9DmuFDbBJKCDWa/Y9BcXHgo4+EbnXGOfym8cOs\nKisr7927F7hwIfgG6vUUcEkKqMooScmRswICgfgzB5RK5draWpyLvmfN/Px8TU0Nt72+vl5cXCxs\ne47Esuxjjz3GFTtpb28fGhoSukU5QiQSBQKB//nf/ttDlZV/EAgA+P25c+feeAMGg9BNI+QY4keN\naKci3HfBYrGUl5dz5cfq6+vDl2A5y0pKSjY2NgCo1eqtrS1Jpk7MPnIOYSAQwPw86urAsmhtxeAg\nTTIPd+Sp1NbWluzqVQwPB+8yGLCwkO3Vhsjpo4SQpOqo6B7nKKbRaNbW1qgWVoTy8vLV1VUAGo1m\nZ2cnw4tJckViATAM8/7771Nuf0zh3xclsAYoQzc/+c//+cG2NgHaREgaJZMQRg0fMplsZ2eHH0xx\nxlmt1pKSEi5PvnTp0vXr14VuUUzxU5rgWejwMMRiRK1TfbbFf/d2dna08/O4ejV4W6/H0hIiqrsR\nkgCqMkpSFedSwlHdg3Nzc5QNHjY4OMglgXt7e2NjY0I3Jx6WZa+GIlBjYyNlg8chEonCvy9SYCks\nG3S98AJlgyQXxA0Z/GbE1yHc0NAQZYM8nU73wgsvcNvDw8PJFfM8LVyrVlZWYu2w3yfR3k7ZYAq0\nGxv72SC3wC9lgyQl1ENIji0iDnV2YnAwoVEi5JCWlhYuFZTJZLu7u3K5XOgWRccPcGUY5tatW1Tq\n+jjCvyxiYAEoC93sBvrom0JyTLSQEfZgAr1JBADg9/vz8vIcDkf4nYFAACwr+IhB+jumRfy3sREw\nA8G/tFqNhQVQLCapoh5CcmyBAAIBmEzBm4uLmXmpMiv09PRwU0E8Hg/fBZdpRCLRz372M267vr6e\nssF0YYCZsGzwZaBfyOYQcjIOhQz+EYodSXnggQciskEAVSKR4/x52O2CNAlx+3jff/99rnzFKTcp\nJ5UBJj4blMuxskLZIDkO6iEkaeJ04pFHgtsffyx6+OH4u9MHL5YbN250dHQAYBhmd3dXrVYL3aJ9\nEWFeB/zfTz754PIypFKhmpTtwt9SM2AMbY8DLQALgL4sJCcdDBmQyZBgARIScvjt6gVeABhgD9B8\n8okg1VmobzC9or6fGmAdCMZdqRQrKygoON12kVxDPYQkTZRK8OMbNzbi70shIY729naNRgOAZdmW\nlhauZkCkU7+OfviibzuwAjz49ttoakLURpJkDIZlg/Nh2SAhuelQyKDuwaREfbusoS4jDYCXX+Z3\nFbZVJL2UwAKfDTIMFhYoGyTHRwkhSZ/KyuDGG29QypcyhmkTBwAAIABJREFUhmH41Ro3Njbm5+cB\nwO9HRwesVohEwejOb5w6CWAGhoDgxWeLBYeGLZGkdAKdoW0L0EDZIDkLwkIG6EJhOiwDw/yNq1cz\nIV4AqAdahfrZWW55eTniHnlYDWoWwNwcMn6RKpIVaMgoSZ/5eXAr6SkUuH0bDBP1YiF95BIRvgTF\n9vj4/Y2N8eaEnPBbGv53VAMz3OVnAMA2UPD++zR1IWU+n+/igw/yU0HsQBHgDduBvi8kZyUWMsLR\n14ET540SA3fjPPMk38DDrWKAHqALAFACWOkvmIz5+fm6urrwUUJSYAXY7w00mag0K0kX6iEk6WMw\nBOsdu1xc9hIIBG7fvs0/fvv2bQoGCRoYGOCXoPjFK68c0QV3Wpd+G4HNsGxwESgFRI89djo/Pfes\nrq7+X//yX4ZngxUHs0FCclm0kCFwk7JEnDfKH/+ZJxksIlrF9WVdARiAAQZjPY1E09/fz2eDYrF4\namqKq0G9nw0ODFA2SNKIEkKSPmIxNKFkIaxwHElBQUFBZ2dwFOGPZ2YEnKTHXfRlgCHAzM9bAC4D\nNYBPqGZlv/7+/l6D4S/u3OGyQSdQDjiFbBEhpyvJkEHpYiIy5D3SAzsAP5bRDrQI2Jps8/zzz3d3\nd3PZoEQimZmZqa+tvVtdvT82tKsLXV3CNZDkIEoISVoZDMGNX/5S0Hbkgh//+MfcOoRebwKdRid2\n3ff69esKYBNoD3VkuYFS4BrNc0uV1+utqKh4vbt7/rPPuLfUA1QAroO7UX12kvsOhYxYn3n6LkRI\n/Q05sWAxOjoqFosBXAFWAH4V3VGgEBBsHYyswrJsTU3Ny6GCQEqlcmtrq7KyEm1t4AoKALh0CX19\ngjWR5ChKCElaffe7wQ2LBR6PoE3JelKptK+vD8Jd8bXZbEVFRTc7OnbDhqlYgULAErYbnaglxWKx\nFBUVLS8vvwDIAAC//9znZGtrtwKRBG4oIafg6acBQKmEVsvfFwgE+PERjY2N9HVInFBvE8uyHR0d\nbW1tYr9/AegLXT1kgctAW2gsCf0d4/N6veXl5fOhxE+j0aysrKjValy+jLGx4E6VlRgYAMMI1kqS\noyghJGml03HLSYFlMTsrdGuyntFoLCgoEKQ2XG9vb1FRUZnVOhM2THQUKD/UkUUSxLJsb29veXm5\n3W4H0ATsfPnLAM699hr0eoEbR4ggtFp89BFu38bg/hQzkUjE95B885vfFKhlWeBwfnVqwSJ8ISKf\nz1dVVXXjxg05sAmESsfCBVQB10I3KRuMz+l0lpSUWCwW7mZ1dfXKyoqKK9jmdAZ30usxMxOceUtI\nWlFCSNKNHwL0wQeCtiMXMAwzODjIJHItMH2xdnt7u6io6JWrVxf8fv5Crx+oCbvQS5LldrtLS0uv\nXr3KFwkYHBrKczqxtobqaqFbR4hwQqsRikLCH+zo6BCiTVnj0MCCBAJBqsFCFCb8ngcffHB5eVkP\n7ABqfu/iYsXt20s05CExe3t75eXle3t73E2j0TgzMyPnF+qcmEB9PbRazM1RNkhOCCWEJN2efRZT\nU/joo/ArviRler2+sbHxdK77six7+fLloqIixmrdAcr4B5RK8ebm/KH9KcwnyGKx5Ofnb2xscDdV\nKtXa2lp7ezsjFlPfICHx0VrnyRHimHzp4KRBGI1YWoJSefotyUbLy8ulpaWOUC3xK1eumEymAxeC\nGQZTU1hfh1Qa/SUIOTZah5CcLKfT+cgjj3Dbt2/fVlKESJ7L5Xr88cc/8cXtnDv2F3lvb6+5uXl7\ne9sYvug8AIMBMzOQSGI/lcTT29v74osv8mtJNTY2Dg0NSSmuExImftZHJyrJiZ9CH6OH8PCdEmAI\nMPK3GQZDQ2ilhegTFbHY4MjISCu9e0QI1ENISKZTKBQ//vGP458uHef1fT5fR0dHfn7+9va2GTDz\n2SDDYGAACwuUDabG7XaXl5fzw0QZhhkaGpqYmKBskJCkUCdhcuJEhLSm1ipgPTwbVCiwvk7ZYOJu\n3LjBZ4MMwywsLFA2SIRCCSEhWaCzs1OpVIqAL4bfe+cOAoFjBniu6OWNGze4mPQW/4BMhoUFdHVR\nNbPUcMNEV1dXuZtqtXpra6u9vV3YVhFCzoRAoKG+PuK+h4+RWh9+Yj2wA/DFYVcBbG1Bp0vt9c+g\n3t7ejo4OLvIqlcqdnZ3Kysojn0XICaGEkJAsIBaLBwcHAXgBN39vaE5aarxeb1tbW/hEdpVK9fTS\nEmprodVid3e/PhBJEldN1O0O/q2MRuPW1pY2rLA+IYRHHYAnYXp6WgSIwiqBcbna8d9tBhgBJsJm\nFvQDFdivD0SO1NLScvXqVW5bqVSura1pNBphm0TOOEoICckOtbW1er0egJW/KzQHPQWrq6uFhYWj\no6N80cuenp6dnR2DwQCzGevrFNpT43Q6w4eJisVis9lsNpslNOyWkBhoiuCJsoU2+CtSyeaELMuO\njIzwNxmgIGylwRqgG2CP3c4zwuv1lpaWjoXWFdTr9Zubm1RegQiOEkJCssb169cZhvlb/vbbb6dw\nrdfj8TQ3N1dUVPA1zXQ63dbWVm9vbzBpkUho0mBqxsfH8/Ly+GGiOp3u3VdeMTY2CtsqQrIdZYzH\nwV9DfPLg/bHCR8T9Gxsb+fn5bW1t/D1+oA7wATYgD+AKUNPfKBHc0vPhiw0uLS3J6fIryQCUEBKS\nNbRa7YULF/huQcf0NA4uEHykycnJvLy88fFxfhb74ODg+vo6DVY5Jr/f39zc3Nzc7AsVg21tbd3o\n7PxXP/whGhrg9wvbPEIyHKUT6RUeFN4JbWgP7RARPvib3Ibb7W5paSktLeWnFfCcQAVQAthPpPm5\nyWaz5eXlbW9vczcvXLgwMzMj5tYV9PsxNgaW+lmJYKhcBCHZZHR0lF/5VwXIQ1MKRaIoS8iE3+nx\neNra2mZnZ/lHi4uLh4aGaGLb8dnt9rq6Ov6cSSKRjIyMNKpUKC2F34/ZWUgkMJuFbSQhGS4QCES9\ntkW54jFZgUngrdjJW6xLil/5ylfCb1ZXV8/P769HGz6Fnf5GR7LZbOXl5R6Ph7t5/fr19vb2/cUG\n29owPo633oLJRIXciCCoh5CQLGMHvKHtw1d8+e3wC73j4+P5+fl8NiiRSIaGhtbW1igbPL7x8fHC\nwkI+G9RoNFtbW41aLaqqgh2DUil+/GMhm0hIlgjcuROYm9OH3cMV0yLJCs/QHEATMApYUn214uLi\nnZ2dubm5QCAQkfsdvoccNj09XVJSwmeDJpPp0qVL+9lgby/GxwFgfBz9/cI0kZx5lBASkjX4lI+/\n0BuRz7EsG3UEaXNzs8vlAqABfviNb9y6devAtUmSksPDRC9cuLC5uakGUFUFLvZLpVhaglod53UI\nIQDw8st4+GHU1KxVV/f09HD3vfnmm8I2igCIuHoYCCNgq7LF6OhoU1MTFyakUun6+vqFCxf2H752\nDaFyo9BoQEsTEYFQQkhOnBQQC92GHBOrSMD58+fjPKtWLP5/779/9MMPFSfUrLPEbrcXFhaOc5d1\nAYlEMjExYTKZJCyLmho4nQAgFmNujhbmIiQhOl1wDtXqamVxMXef1Wr10xRcodHVw5R1d3e3tbVx\nk/ZlMtnKykpx6LMNALOz6O4ObqtUWFuDTCZEMwmhhJCcqOHhLxuNHwG02Orxhff7/VfgZaABaEns\nuWJgBJhh2fOffgqPB2H14kgKIoaJlpWVbW1tNTY2wutFRQXsoR5ckwl6vVCNJCTLFBQE6xv7fPmf\nfSaVSgH4fL4HHnhA4IZlp+N030mpwsSxsSzb3NzcHxoCys0mKCgo2N9jdRXNzcGLIAoFlpYoGyQC\nooSQnKS3337g5k0x8DQA4JFHHhG4PdksPLpbgOeBacCTwBPlwBLQCgQDj1SK5547mTbmvohhogzD\n9PX1LS0tqblBoQ0NsIa6b00m0IIThCROLEZl8OLhfcvL+rCLKUnVUia81EZ1aoFdoOskGnRm+Hy+\nmpoafghJcXHx2tragcUGbTbU1YGbbiCRYG4OKtXpt5MQXpTKhISkhUgkqgbmAAAu4Guh++kjl7IU\nTon0wBSwv8iRVouJCdAiEymJqCYql8unpqb2T1vr6sAXce3pQW/v6beQkOw2PIyLFwE4gMdjrHVO\nESRliUSQamAkFDKqgEUA9J4nyeVy1dTU8MtL1NfXm83m4PISHLsdJSXBeeYSCRYWaCwJERz1EJIT\ntBqK6AqAn0dFF3pTlmxUbgeWwrLBGwA2NykbTE3EMNGCgoLNzc39bLCtbT8bNBpx5YoATSQk24V6\nCFWAMsYuFEFSFj+CMNzMgrCQoU3gWSSC0+ksKSnhs8ErV65MTU0dyAadTlRUBLNBhsHUFGWDJBNQ\nQkhOBBezfYAtdE+ZgK3JIXFic/hDDDAHDIXK+bDAReBSIAAx1fdJ2uFqou3t7evr6/vjf55/HqOj\nwe3aWoyM0EJShKRCqeRL8lLIOAmxIkjgzh1uZgF35GKBFoAWQEgQf5HCYrEUFRU5uaJiwODgYF9f\n34FdvV5UVSG0A8xm/iIIIcKihJCcrP8a2ngq7E66xHsccVaC4v5XAZtAdehRO1AEDJ92M3OE1WqN\nqCY6MzMzNDS0f8V3eBg3bgS3q6sxNUVZNyGpC50ff1fYZuSuiAgSCAQC6+vIy+MzcAdQAphoYYkE\nRCz5W1VV5Xa7AYjF4rm5uc7OzgN7+3yoqEBomAkGBmieOckcNIeQpF94vqcBdkPbD4cVQaEPXjqJ\nRODfz/l5b02NNPTIPNAA+OkNT0lvb++LL77IVQwHUFlZOTQ0dKAwwPg4WlqC1Xp0OqytUTZIyHGU\ni0QrAAA/8EUg6ooTdDQ7rvCQMTyM558Hv7aHwYCpKUilsZ5KOHGua0ul0oWFhQPLS3CqqrC4GNy+\ncgURnYeECIoSQnIiwo+VHwNcKeU6IDTLiiJ6OhwOSJ2duHGDy09Y4DJwA7hHb3Xy3G53U1PT6uoq\nd5NhmIGBgUuXLh1Yj2t5GVVVwWxQq8XKChUNJ+S4WNZ9/jw3jS08ZISj8JGiwyHDaERo+AMAdHWh\np4euaiUi/kCnKB/RlhaMjQW3jUaYTDSzgGQUSgjJiQg/VpoBIwBgGmgAQOH8+I4ccyuRYGYGBsOp\ntCbXWCyWhoYGbuQPAIVCMTMzo4tYX95qRUUFvF5uD2xuQqE49ZYSkoNmRaJaAMAwcDHaDhRBknZk\nyJBKYTKhtvZUWpP1jpz2EvkR7e3F1avB7epqzMxQNkgyDc0hJCci/Gj4RmiDHz/h8SSyfh5JlcGA\nW7coG0xNb29veXk5nw1WVlbu7OxEZoN7e/vZoFSKlRXKBglJl9qpKW6jkpZHPx1qNba2KBs8KcPD\nePHF4LZOh6kpygZJBqIeQnJS+EtocuDXobj+OGAHlErlysqKipZhTVn8y5P37lG8SUFCw0Q5Xi/K\ny7G9DakUS0uISBcJIcfhcrFf+xr3rSsEtg8+eOfOHSnNcEtW/JDxySeQSE6rKVkvkap4+6fW09No\naAhua7VYX6e3mmQm6iEkJ4U/ILoBe+jOf3/uHACn01laWsov6UbS7Px5oVuQfTY2NvLz8/lskKsK\n0NnZGSUbRKhX0GDA3Bxlg4SkmULBhL5Wh79dbW1tp9yc3Pfgg0K3IGs4HA5DUqNvqquDhXNVKiws\nUDZIMhYlhOQEhcpWBzQDA9w9//sTT3Bn2C6XK3zxVpIEWrQj3S5fvhw+TLS2tnZ3d/eIqM/1DdKC\nwoSchLLgIghDBgMXRC5cuMDdMz09fYNf6IUkgkJGOvh8vt7e3vz8/OXl5SSeJhZjZgatrVhfp5kF\nJJPRkFFyKra3UVgIABLJf/nJT5559lmulL9UKl1ZWSkoKBC4edklkehO3+vEeDyelpaW+fl57ibD\nMNevX29tbY3eMUgIOR0bGygpAQCGwccfQyr1+XyFhYV2ux0AwzDr6+uRM3tJLBQyjm1xcbGtrc3l\nciW4P51ak6xDPYTkVGi1wUrWPt+//9KXFhYWuHW9vV5vaWkpP06PJIQiTZosLi4WFhby2aBKpdrc\n3Gxvb6dskBCBFRQEF3FhWWxsAJBIJEtLS9wqoCzL1tTUJH52ftZRyDgGh8NRUVFRVVXFf96USuXM\nzEycp1A2SLIRJYTkVDAMqquD27/8pcFgmJubk0gkAHw+X1VVFX9STtKAotFRWJa9fPlyTU2N0+nk\n7jEajTs7O9RZTUhGEIv3x2O/EaxUzZ2Ic9dr3G53RUWF3+9HYkU+SDwUMqLx+/0RY0TFYnFXV9fO\nzk5tbS1lfSTH0JBRclrGx9HcDAAKBX79awDb29sVFRX8EhQmk4mfJUKOEP8EiL7Ucbnd7qqqKn7+\nqlgsHhkZMRqNgjaKEHLQ5CSamgBALsdHH/F3X7t27fLly1GfQeczMVHISAbLsuPj4y+99JLD4eDv\nNBgMIyMjXB91OP56BH38SFajhJCcFpcLjzwClgWA3V1oNABsNlt5eTmfEw4MDHR1dQnYxmwSK8DT\nNzqu+fn5trY2vn6MWq2emZnRaDTCtooQEsntxte+BgBlZZiZCS/PGKdLkE5pYqKQkRir1drW1maz\n2fh7lErl0NBQJVcslJAcRUNGyWlRKKBWB7dDAzC0Wu3m5iZ/ye3y5cvd3d1CNC4LBQKRgfzwPSSM\n3+9va2urq6vjs0Gj0bi1tUXZICGZSC7H5ibu3MHSUuLF+mn4aEwUMo7i8Xiam5tLSkr4bFAsFnd2\ndu7u7lI2SHIeJYTkFPF1/N97j79PpVKtra3xOWF/f3+s4UAkCi6iU1w/itvtLi0tHR0d5crbisVi\ns9lsNpslcU40Fxdx7drpNZEQEqGggNZtSzMKGdGwLDs6OpqXlzc+Ps7FCAC1tbW3bt0aHByMFyYI\nyRU0ZJScou1tWK3Q63GoTyZiWldjY6PZbKZijyQtNjY2mpub+dkgCQ0TtVpRXg6fD1euoK/vNFpJ\nCElAIn2AdGJDEnd4jKhKpRoYGKitrU30Ja5dw4cf4vp10EkLyVqUEJJM4fV6y8vL+ZyQq0TKrU5B\nSGpYlr169eq1a9f4i75Go3FoaOiIK742G0pL4fUCgESCnR2oVCffWELI0SghJOni8Xief/75yclJ\nPkBwY0R7enqSuB49OYnmZrAs2tspJyTZixJCkkG4JSgsFgt3s7i4eG5uTsatRkVIktxud11d3cbG\nBncz0WqiTieKisDNMxSLMTe3P9SZEJIBjswJ6cSGxMey7NjY2NWrV/kp5QAaGxv7+voO1xGNZ3YW\nDQ3BankKBba2IJenua2EnAqaQ0gyCLf0sCF0/r2xsVFaWsqvFEdI4paXl/Pz8/lsUK1Wb21tHZ0N\nut2oqgpmgwyDmRnKBgnJLhKJpL+/n+/zISSC1WotLCyMKDc9Nzc3MTGRXDZotaKpKZgNyuVYWaFs\nkGQvSghJZhGLxXNzc/X19dzNvb09yglJUliW7ejoqKqqSrqaqNeLigrs7QVvXr8OqixHSLbx+Xzd\n3d15eXn8BARCOIfriEokkoGBgZ2dnerq6uRey2ZDVRX8fgCQSrGysl9HnZAsRAkhyThisXhqaqq1\ntZW76XQ6S0tLw9eHJSQWl8tVXl5+48aNJKqJclgWDQ3g6wpcuYL29hNuLCEkFXFGhCoUCm7DbrcX\nFhZ2d3f7fL7TahfJXH6/v7+/Pz8/P7yOqNFo3N3d7erqSrpagdOJ8nJwSyhzMwto+SKS5SghJBlq\nZGRkYGCA23Y6neXl5Xa7XdgmkQw3PT2dn5/Pz0FNdJgop6WFXx4TXV1UWZSQTBYIBCLSQu6e3d3d\nxsZG/s7+/v6ioiKr1XrqDSQZZHJyMi8vr7u72+VycfdwayCbzebkxohyuLEkXDbIMDCbodensbWE\nCIISQpK5urq6+MUnnE4nxXUSi9/vb25ubmho8HBBGujq6kpi0fm2NoyPB7fr6ykbJCQrBMJw90il\n0omJic3NTa1Wy92zt7dXVFR08eJF6irMbVFLDTmdzpqamqamJn6QEcMwXV1d6+vrOp0ulR/j96Oi\nAvzlaZMJoRkuhGQ1qjJKMt3y8nJNTY3f70dohqGB6nyQMA6Ho6mpib9YIJfLJyYmysrKEn1+fz+6\nu4Pbej2WlkCLnRCS5ViW7e/vf+mll7jYAUClUl2/fr2SJgbnlsN5IHda6/P5Xn755Z/+9KdebgEh\nAEBlZeXg4KA65cl+Ph9KS8HPTe3pQW9vii9FSIahhJBkgdXV1ZqaGu76LsMwZrM5fFCQSEQf47Nr\nfHw8/Nq/Xq+fmpqSJ17qbXwcLS3BMnFlZZiZgVR6Mi0lhByP3Q6PB8XFiT/DZrO1tbWFDy25cOHC\nwMBA+GpGFEGyVJzVRxYWFp5//vnwaSYajWZoaEh/nLGdLIu6OszPB28ajTCZaNVBkjPoOEiyw/b2\ndkVFBT8gcHBwsLOzMyIe0If5TGFZ9vLly3z9GAA9PT1XrlxJZUFhAFot1tYoGyQkE62uorkZLhfU\naty6ldRTWZa9ceNGd3c331WoVCpHRkYqKioi9qQIkl2OXI6SI5FIenp6Ll26lERoiKqlBWNjwe3G\nRpjNlA2SXEIJIRGU1wuxOMERejabrby8nM8JY6GP9FngcrkaGhr4ZQaTHiYKwGJBVRW4rkWFAuvr\nSKG6ACHkFDgceOyx4PbHHyOsfy9Bdru9ubn5yFnoFD6ySCIJYX19/eDgIF97NnVtbRgdDW6XlWFh\ngWYWkBxDRWWIQG7cQEUFvvIVLC4m+AytVru+vn5kTbAErxqS7DU/P19YWMhng3q9fmdnJ7ls0GZD\nXR1lg4RkB5Vqf8nv1dUUXkCtVm9ubg4MDMRfYIDCR7ZI5C+1ubk5NTWVhmzw2rX9bFCrxdQUZYMk\n91BCSATyzjtYXobfj1/+MvEnqdXq9fX1k2sUyXAsy7a1tdXV1fGLzvf09KysrCQxaRCA3b6/hJRE\ngrk5ygYJyXR8MZg33kj5Nbq6uviBoyTnpVhHNMLk5H7VMY0GKyspdFATkvkoISQC+c53ghv8FO3E\npOFqH8kSIpEo/DKww+EoKSkZHR3lJg3K5fKVlZXe3t6kZ4Z0dOwvKDwzg4KCdDaaEHISnn46uMGv\nF3oyqJMww/l8vsWEBxYd1+zs/jxzuRxzc5QNklxFcwiJQLxePPxw8Di7s4PQmlFHSiRa06c6e8X5\n+0okktSriYbzeFBSAocDc3OgGvSEZIXwkHHrFlJaOSDBZO/ChQtPP/00rW+UUZxOp8ViefPNNxcX\nFxNZUjI9pwGFhcFFJqRSrKzQ1UOSwyghJMIpKUFoGhiS+RweGdSNRuNTTz2l1+uPnHBIMk0iZ2xJ\nVxM9zOvF6ipqa1N/BULIKSsqQnhVmJTOXhLvAFSr1c8880xjYyPFEQFtb2+vrq6++eabGxsbfEHp\nRKTn5NbrRXk59vawvk7ZIMltlBASgcSJykd9JhOP6EqlUq/X/9Ef/ZFOp9PpdPHLCRDBHfmXTaWa\nKCEkBxwjZBx8maRHhBYUFPzwhz+srKxMcUgCSRLLshaL5Y033pidnXW5XId3EIvFlZWVs7OzcV4k\nbSe3Ph9stqRWvyQkG1FCSAQSPyqnLyfkicVinU7H9RxScpiZaDwwISS644WMg68U76VMJtPrr7++\nfGimIsMw1dXVTz/9dHV1NYWPk+DxeFZXV1977bXV1dWog0K5K7zf//73dTqdVCpFjD8lxQhCUkAJ\nIRHCkef9x0gIzWbzzZs3LRaL0+mMtQ8lh5mGZVmn0/kYv9RYbHTIIuTMOXbIOPhi8V6NO8I4nc7x\n8fHXX399b28vYge5XF5bW/unf/qnBTSGMB329vZWV1dfffVVm812eFAowzAFBQXf+c53DAZDQUHB\ncReXJ4TEQAkhEUI6onusoM5/pLk56Ddv3rTb7TabLVa1cUoOT5/L5XI4HHa7/b333nM4HE6n0+Fw\nJFgOng5ZhJw5iQwJSUdOePjwsrGx8eqrr05OTh7us1IqlX/+539eW1urjlbhRiSi86uYWJbd3t5+\n/fXXV1dXbTbb4R24QaHf/va3q6uraaQuIaeADlhECEdG95kZKBRQqY4s8czH9fifZL/fb7VaufzQ\narXGTw7VavWTTz5JNWnSwuPx2O12LuV79913ue1EasTFQocsQs6cRBLC3V0olZBIknnV/ZeNf2Bh\nWXZ+fv4Xv/hF1AUPDAbDM888U11dLZFIDqeadMji+Xy+5eXlN998c3Z21uv1Ht5BpVLp9fqnn366\nuLhYksyfkhByTJQQklOX7PS/CxdgMqXx5yeYHCI0Y4EKlibI6/Vy/X5Op/ODDz6w2+12uz1q1I9K\nJpN5uOUBY6PjFSFnTuIhY2HhpBeScblci4uLr732msViSfxZOX/git8d6nQ6l5eXX3/99e3t7agR\nQaPRPPPMM3q9ngaFEiIUSgiJEJLKCY1GmM1H72a1QiyGUgmpNPHXTiE5LCsrUygUif+InOTz+RwO\nBzfa87333rPb7Q6Hw+12J/h0iUSiVqvVarVSqXz00Ue57ThFAnhJHK8cDqhUie5MCMlkCYaM9fWj\nq0G6XPjZz/DVr0KhgEIBjQYpTRNwOByTk5Ovvfaa3W5PZP9cPdeKOGLzv6bf77fZbK+99try8nLU\nt4gbj/PMM89Q+VZCMgElhEQIR0b3ggI4HOAuJV65gr6+o1/zscfgcACAVAqlEioVlEp8/etQKoP/\njhp/wieH7733ntVqjVOTRqVSqdVqrudQq9Xm9hVNlmVdLtfe3p7dbv/Vr37FdQA6nc7El4SSyWQR\nuZ9arY4zVzPx6T0xWa0oLcXAAC5dSvQphJCMlUjI2NvD7ds4MrXY2EBJyYF75PJgciiX4xvfCG4r\nFEdOWOBYLJZXX311eno6/kj41tbWr3/960qlUi6Xy+VypVKZ3vnqpz9lMdaBemJi4ubNm4uLi1Ev\nEUql0srKyu9+97uVlZWZMiiUrh4SQgkhEUwii0rZkYkwAAAgAElEQVS53fD5IJEcHeMBPPww4g84\nlMkOJIpc+Of+j4avSRO/YKlUKjUYDN/61rf0er1Gozm6nZmNS/b4ci92u93lciVY7gWATCZTKpXh\n6Z9Go0kt6ic+vSeSzYby8uCH4fp1ygkJyQXpWnZidhZ1dQntySeKCgW++lVoNJDLoVJFHYSS2kpI\nSqWSTxG5dFEqlXL3JP46sfroTlpSv7JSqWxsbPz2t79dXFycWZdQ5+dRV4fr19HeLnRTCBESJYRE\nOLHCSQqfSZ8PhYVwOpFw6nKAwYClpTiPc8nhW2+9tbGx4XA4YnWOyeVyruewrKysoKAgwwuWcuVe\n7HY7N9+PG/+ZeLkXbtinSqWSy+WPPvqoVqvVaDTSZMbrngiXC4WF4K5MSyRYWwOVhickN6QlZGxs\n4Oc/h8sFlyuVkDE0FDVzSCEhjEMsFvMdiVKpNFbXYpwfmsKpndvt5q798Rsul4tlWW6QCIDf/OY3\nfr+fezSRKZQMw+j1+u9973tlZWVRC7EKjxtLwn0GBgfR2Sl0gwgRDCWERGh8SEvLR9HthtMZ/Per\nX+1vx4/6ej3W1o5+8Y0NsOzHDz30xjvvvP3223t7e9vb27F6zyQSiU6n43oOBV/Nglvlz2azuVyu\nd955h+v6O7KCSziFQsENlH3iiSeUSqVGo1EoFJl1oReA14vCwuDIYZxGhQlCyGkLz4KOGTVYNpgZ\ncv8+/BB7e8HtWJfGJibQ2BijXcGGyYAfAR8APsAB2AHuterr651Op9vt5jOu1Mjlcq4jcXl5Oc5u\nZrMZgMfj4S7zcekcDuV7/A7pNTExYTAYZIkNuxVG+FgSiQSbm8j+MT6EpIwSQnI2HE4UuajPTVNs\nbcXIyNEvUlQEqzW4rVJBo7n30EOO++6zuVxLt2//zT/8wweffhq161AsFmu12uLi4qeeekqn0yUS\nI48zIcTtdttstr29vQ8++IAbAhqnV/MwrutPqVQ+8cQTKpVKo9GoVKpMmewRh8eDkhLw1QtMJly4\nIGiDCCFZy+sNJoduNz78EC4XbDY4nVhbg04X9Rl8QqgBdg8+5AbkxcWQSKBW44/+CCrVP3766T99\n6Usf/Pa3XIr4m9/8hjtWe73exKtzZbJMP7d0OlFSApcLAMRizM39/+zdf2xT+Z0v/Ld7za57H7f1\n3KaqR/KoQTWq0QY1owZtogY1aEATNKANt0HNqPA0eUo0iSAa0MAdogEBgnnCKMwDVRglFVRJFUZk\nBL1kRCoyIiNckRGpkipZkRWpSIWrce9kt1k1e8e7+O54188f5+tzTvzj+PjXOcc+75dG7dfm2P7a\nOT4ff74/0dxsdp2IzMSEkOwtEkE4LJYnzeq556C5icJ/fPnL//TVry7HYrN/+cvT//zPNWAJWAXC\ngDobq6mpkRYsbWxsTJ0rktOEkJWVFXm5l+WEnKb8SfmelPtJeaDl+v30iESwfTvm5sRNZoNEZCz5\n0t0K3NT5GK9XWfbsa1+Ttt79P5s2Pf38c6kjMRQK/cu//IuUKxbetaiT2+2WWi09Ho/H43E6ndLC\n2i6X65vf/CaAqqqqnp4e7Sex9G/LtTVs24bFRXHz5k20tppaISLzMSEk0kdKOeS1T3MUBl5Id7+0\nD680snTjxo1pHyt9SaVVvKVFPqUVX5aXl/Xv8udyuaQpf4FA4Dvf+Y601GcZ9PvpEYthzx7Io6fO\nncPJk6ZWiIjsSMoJm4CfAl6gGqgGcm5gO3YM/f2Z/lHKEhsaGrI+jbR3rjS2v6qqSrrae73ev/7r\nv5ZTPulfnU6n1+uV/lfn7Iai7Q9kvGgUO3dielrcHBxEV5epFSKyBCaERDlaW8Pyshh9+oc/IBTC\n6qr438w+//rX/5/t24PBoPbMvXrACSwCSXmez+eTpvXr4XK5/Anf/va3pWU/rTjlr1g6OjAyIsqa\nv6WIiEoteYVkacKCNEnhH/5BlDVmtutp0orFejdsCAHSf2nHmJb6111xl7QxSCyGvXsxMSFusvWQ\nKIEJIVGRrK0hFBK54h/+gHAYq6tYWhI9io2NePAgFostLCxMT0///d///dTUVGqOdw/YAQBYAaKJ\nYP97YAlYAkJA6i8IeZqfnPtV6xn+WjG6uzE0JMr792N4GJWa9xJRJVldVRY7/dOfsLSEpSVEIujv\nR1tblseGw3hBGXQiB4sQ8I/AChAC7j5+jOpqlHI9s7Q5oaV/VbL1kCgDJoREJSYtZBeLpW59u7y8\nPDk5+bvf/W5ubm5xcRHALKC9ScJ/OBx//trX/vX55+H3f7m29hsvvLBh0yYxBcWGzpzB2bOi3NyM\n27dL+uuHiMgS5uawdauuI+VpivJuitLOisWbLyCnhVb/PXn8OC5eFOX2dly9ytZDIhkTQiLzyQH1\nAVAH5JnT+Hz49NPiVcryLlxAb68o19bi4UNmg0RkC4uLePddhELLwWB1sacpViZ1vGDrIVEKto4Q\nmS8ej0s54TYAgBfwAy6gGvgO4AcCQMDlyrKbos7GzsVFRCLweuH1lnFEvH4dp06Jss+HmzfL+L0Q\nEeWkpgbDwwCkYScvOBzVQDUweu4c/vSn7Bvwfu1rul7l8mXRwej3w8o7Cmaljhe1tbhxg/GCKAkT\nQiLLWUlZJED05IfDiEaxvIzlZfzhD2LCibREAQCfT9ez/+xnuHZNlKWhRFVVCATwrW+Jgt9v9YE0\nk5Po6IC0s6LXiwcPbDpilogI+DTTUK+kDXil+YrhcOr8hfSOH4d6A1ufD4EAvF74fPjWt5RE0eMp\nwnsonclJdHaKNxII4N49q1eYyAwcMkpkFfkv2haJYHU17TTFNPbtw61bWY5xu1FTI9LFb30LPp8o\nW2Gbiqkp7N2LSAQAPB7cv4/aWrPrRERUWdbW8Nxzuo6sqhIBwu/HN78pWhW9XkvEi+lp7Nwpekqr\nq3H/PlsPidJiQkhkFQat4r1vHyYmsow+zaSqCk+fmhnmFxawfbtYuNXpxL17aGoyrTJERJUqHEZP\nj1g3W2qAy0lrK27eLEG1crG4iO3bxY5QHg8ePkQgYHKViKzK2gPDiOxEnkmYdGeRX0YK0rEYQiGx\n0Pkf/iA2V5TGoGpYXdWVDS4uYnVVDEAtfPSp9JlIn4PLBY8Ha2twOnH7NrNBIqKS8Plw+7Yor66K\n7XaXl7G6in/8R2UzXvWYUjWd7YZDQ/B64fHA6y3abAUpZDx9ij17RDboduPePWaDRBrYQ0hEKisr\niESwtIRwGH/8o4j6q6tYWUE0qnch085OZZqix4OaGjHV5DvfEVliVVWWJQoyd5bi00+xcyfefBPt\n7Tm8LyIiKjo5UQyH8fvfY2UFCwsIh/Xu+b5hg5JSOp3KNEWvF9/6FgIBsUOG15vleTRChsuFO3ew\nY4fut0RkR0wIiUifcBirq7om7OmZplhVJbbD8vnwN38Dn0+sVSAtjaMR3QF88YXVl70hIrKzSCR7\nJ6H+aYpuN/x+BAKorsa3vy1u+v3K8jDaIYM/dImyYUJIRMVWyDRFAI8eYcsWrQN41SIiKnfyNMXl\n5XziRV0dZmdFmQkhUWGYEBJRaUSjYo7i2hp+/3ssLmJtLfs0RQBPn2LjxizH8MJFRFQxVlawsiKS\nw3/+Z1HQThSbmnD/vihrJ4RgyCDKggkhERkrHMbaGhYXEQ7jT39COKz8B8DpzLhKgRovXEREFS8S\nEZmhNEdRuim1Mx48iKtXAR3ZIBgyiLJgQkhEliGlhQ0N2Y/khYuIyM7W1sQcQiaERAVjQkhE1sPx\nP0REpBNDBlFhvmR2BYiIcsTQTkREOjFkEGXDhJCIiIiIiMimmBASkfVoNOiyrZeIiNQYMogKwzmE\nRGRh6pkhvFgREZEGhgyivDAhJCIiIiIisikOGSUiIiIiIrIpJoREREREREQ2xYSQiIiIiIjIppgQ\nEhERERER2RQTQiIiIiIiIptiQkhERERERGRTTAiJiIiIiIhsigkhERERERGRTTEhJCIiIiIisikm\nhERERERERDbFhJCIiIiIiMimmBASERERERHZFBNCIiIiIiIim2JCSEREREREZFNMCImIiIiIiGyK\nCSEREREREZFNMSEkIiIiIiKyKSaERERERERENsWEkIiIiIiIyKaYEBIREREREdkUE0IiIiIiIiKb\nYkJIRERERERkU0wIiYiIiIiIbIoJIRERERERkU0xISQiIiIiIrIpJoREREREREQ2xYSQiIiIiIjI\nppgQEhERERER2RQTQiIiIiIiIptiQkhERERERGRTTAiJiIiIiIhsigkhERERERGRTTEhJCIiIiIi\nsikmhERERERERDbFhJCIiIiIiMimmBASERERERHZFBNCIiIiIiIim2JCSEREREREZFNMCImIiIiI\niGyKCSEREREREZFNMSEkIiIiIiKyKSaERERERERENsWEkIiIiIiIyKaYEBIREREREdkUE0IiIiIi\nIiKbYkJIRERERERkU0wIiYiIiIiIbIoJIRERERERkU0xISQiIiIiIrIpJoREREREREQ2xYSQiIiI\niIjIppgQEhERERER2RQTQiIiIiIiIptiQkhERERERGRTTAiJiIiIiIhsigkhERERERGRTTEhJCIi\nIiIisikmhERERERERDbFhJCIiIiIiMimmBASERERERHZFBNCIiIiIiIim2JCSEREREREZFNMCImI\niIiIiGyKCSEREREREZFNMSEkIiIiIiKyKSaERERERERENsWEkIiIiIiIyKaYEBIREREREdkUE0Ii\nIiIiIiKbYkJIRERERERkU0wIiYiIiIiIbIoJIRERERERkU0xISQiIiIiIrIpJoREREREREQ2xYSQ\niIiIiIjIppgQEhERERER2RQTQiIiIiIiIptiQkhERERERGRTTAiJiIiIiIhsigkhERERERGRTTEh\nJCIiIiIisikmhERERERERDbFhJCIiIiIiMimmBASERERERHZFBNCIiIiIiIim2JCSEREREREZFNM\nCImIiIiIiGyKCSEREREREZFNMSEkIiIiIiKyKSaERERERERENsWEkIiIiIiIyKaYEBIREREREdkU\nE0IiIiIiIiKbYkJIRERERERkU0wIiYiIiIiIbIoJIRERERERkU0xISQiIiIiIrIpJoREREREREQ2\nxYSQiIiIiIjIppgQEhERERER2RQTQiIiIiIiIptiQkhERERERGRTTAiJiIiIiIhsigkhERERERGR\nTTEhJCIiIiIisikmhERERERERDbFhJCIiIiIiMimmBASERERERHZFBNCIiIiIiIim2JCSERERERE\nZFNMCImIiIiIiGyKCSEREREREZFNMSGsXA4HHA6zK1F6NnmbREQlZZNrqU3eJhFRLhzxeNzsOlBR\nZQp1FfaH1ojoFfZOiYhKxybXUpu8TSKivLCH0Dbs0yZqn3dKRERERFQYJoSVxSa5kE3eJhFRSWlf\nSyvmSmuTt0lElC8mhHbCsEdERERERCpMCImIiIiIiGyKCWEFsUkHoE3eJhFRSdnkWmqTt0lEVAAm\nhBXEJkul2eRtEhGVlE2upTZ5m0REBWBCaCd9fWbXgIiIiIiILIQJYWXRbgo9exbBoEE1KSntt8n2\nYCIiPbJeLaemDKlHiTFkEBFpYkJYcTRiWzSK7m5EIgbWpmQYwomICqd9Le3pQTRqVFVKqavL7BoQ\nEVkXE8JKFI9njPFLSzh1ytjalEY0Cpcrzf0tLYZXhYionGmHjLNnja1NCcRimJhIc39TE9sWiYjA\nhLCSSTH+7t3k+69cqYRRQHNzot3a5cKzZ7h6Vdw/Po7VVRPrRURUljKFjAsXMDlpRoWKZ2oK4TAA\nOJ34859x/764PxjE4qKJ9SIisggmhJVuxw643aLsdAJALIaOjrLPmt5/XxTq6uByYf9+eDxwudDV\nVSEDnIiIjKcOGfIojHIPGZ98IgrNzaiqQlMT/H4ACAQqZA4FEVFhmBBWOqcTdXWifPAgPB4ACIdx\n9KiJlSqC8XFR+PGPAcDlwr17+OwzDA7C5zOxXkREZSwpZFRVAcDKCnp6TKxUocbGROGll0Shvx+3\nb+PRI9TXm1UpIiLrYEJoA6+8IgrhMC5dEuXr1zEyYlKFCrawgJUVUZYnDdbViXSXiIjyJoeMUEgJ\nGWNjuHLFrBoVJBTC8rIot7WJQksLWlrEqBkiIttjQmgDcnNvMIi2NjQ3i5vd3QiFTKpTwXbvhsuF\n2lp4vWZXhYiogqhDRmurkkT19pblwFGXCydOoLaW8YKIKBNHnEts2cE3viEC+cOHCATQ0IClJQBo\nbMT9++XaShqJYHkZtbVm14OIqLKoQ0ZNDV58EWtrGBxEa6vZNStAprWpiYhsjz2E9iBPk/jwQ3g8\nGBgQSeD0NC5cMLFeBXG7mQ0SERWfOmS43bh5E7Oz5Z0NAswGiYgyYUJoD/KckJkZANixA4cPi3vO\nnuW620REpEgKGbW1qK42rzZERFRaTAjtobFRFIJBMRCor09MFGls5FosRESkSA0ZRERUuZgQ2kNN\njbIZw8ICALhcGBxEfz/u3eM+DUREpEgNGUREVLmYENqGPCfk449Foa4Ox46V64oyRERUOqkhg4iI\nKhQTQtt4+WVRmJoytR5ERGR5DBlERLbBhNA25Dkh6l3dK97aGmIxsytBRFRu7BkyiIhsiQmhbQQC\nqKtDczPeesvsqhgiFEJvLzZtwuSk2VUhIio3dgsZ09PYuxdDQ2bXg4jIBNyYnirUvn24dQsAGhvx\n4IHZtSEiIqu6fBlHjwKA14tPP+XUeiKyG/YQUoU6dEgUpqcRCplZEyKiShUMYs+esh+Zv3+/2LZ+\nZYVzJonIhpgQUpkIhXDlSg6pXVMTAgFRfvfd0tSJiMjGOjuxcycmJnD+vNlVWS8Ww65duHIF4bCu\n46uqsHu3KL/zTunqRURkTUwIqUzcuoWeHmzciD179D7kJz8RhbExRCIlqhcRkU253aJv8OxZTEyY\nXRuVqSlMToqQEY3qeog8qCQYxPJy6apGRGRBTAgpnVgMFy5YK4n64ANRqKnR+5CuLrjdALC6ipGR\nUlSKiMi++vrg94tyZ6eFQsavfy0KTU1iLGhWTU1KcGEnIRHZDBNCSjEzgxdfRG8vjh83uyoJa2tY\nWBDlv/s7vY/yeNDVJcrvv1/8WhER2ZnLhdFR0e62siLWZbGCYFAUXnoph0edOycKY2NYWytujYiI\nrIwJIaWYnMTiIgAMDWFszOzaAABu3RIDk6qqUFeXwwNfe02sFzczg6WlktSNiMi26uvxxhuifO2a\nJbb5mZtTrvYtLTk8sKUF1dUAEIlYawQsEVGJMSGkFCdPKiNnenossSXxhx+KwsGDuS0I7vejqUmU\nubQMEVHRnTyptNN1dpq/qvPEhGhAVC8tptNPfyoKHDVKRHbChJBSOJ24eVOZfdfdbfKS4pEIpqdF\nWf94UZkc4G/dstAUFyKiyuB0YnhYhIxwGJ2dJoeMjz4ShTziRXu7aHNcXMTMTDFrRURkYUwIKZ1A\nAG+9Jcrj4xgaMrMyt26J6Rw+X27jRSWtraiqAoC1NZPfCBFRRaqpQV+fKE9N4do102oSCimJXHNz\nzg/3+ZT9JziohIhsgwkhZXDihDLYsrfXzFFAcnNvc3Nu40UlTicOHhTlX/yiaLUiIiLZ4cNKAnb0\nqGlztuXhJH5/zuNFJa+9Jgrj43q3MSQiKnNMCO0qHMatW1nmzQ8Pw+MBgEgEHR2mjQKSm3tfeSXP\nZzh0SGSSS0vK6nNEtuVwmF0DKjd6QsbVq/B6ASAaRUeHMfVKJk84lzv6ctXcLDLJWMzMrk4iK2Cw\nsA0mhLZ0/jw2bsS+fTh1Suuw6moMDopyMJjl4BKZnhadky4XduzI80l8PqXp+uc/L0q9iMqSwyEC\nvFwgykpnyPD5MDCgLOx85owhlVOJRpUmv7wbEAG8/roovP++yfMhiczCYGEzTAhtaccOEeQWFrC6\nqnVkW5uyld/Fi5ibK3ndksjNvU1NYtGC/PzoR6IwPs4NpsiO0gZ1hnnSQ3/IaG3F/v2ifPas0SMy\ngkFRvaoqZcpDHvbvF6NjlpcxPl6UqhGVjUzBgvGiojEhtKXaWrhcopx126i+Pvj9ABCL4cABo5tL\np6ZEIY/14tTa2uDzAUA0ipGRAitFVDkY4ymrnELGwIDYzQ9AT4+hIePXvxaF/Cacy9xutLWJ8nvv\nFVoroorBeFG5mBDaksulzK/45JMsB3s8uHpVlJeWDB04urSEhQVRzra/sEP7OuV0KksF/PKXHAVE\n9sIoToXIKWS43bh9W9m8obe3tHVTk5NVzfGiScEifeyQB5UEg1hcLEbliMoBg4VdMSG0q+99TxT0\njIdpasKRI6J88WL2FuJiketWVyfWKkjH4XBIEV0upNfVJRq5FxaUleiIiL8AKKucQkZtLfr7Rdmw\nkLG8jOVlUa6vT3tIUrDQih3qTe0/+KBUdSYisgYmhHYlN/eurOhaWbu/X4RYaeDoykoJ6yb7zW9E\nIWU7KY0MMGNaqJ5V8stfFrGaRJbGfI8Kl2vIOHJEud729Bgxc1vOVAMBZcxqQpbmwsQx624fOiQK\nQ0McVEK2wGBhY0wI7SoQUOaEyPP0NDidGBwUy7qsruLo0RLWTbK6qlTshz+U71a36Wo8On34l0aN\n7tiBn/ykmFUlsrJ43OwaUPnLNWQAGB0VS7NUVRmREMorkGWbX6BhXdRob4fHA5cL+/dzKTKyBQYL\nG2NCaFdOp9J8+/HHuh5SW4uBAVEeG8PYWCnqpZiYEI2yPh9qaqCviTdJ8kNaWvDZZ7h3r6AF6Igq\nDH8EUFZ5hAyfD1ev4vRpPHiQ2mVXZCsryo6161cgyzVwKMe73bh/H599hkuXUFVVtKoSEVkPE0Ib\ne+klUQgG9Y6HaW9XGl8PHFAmbJSCPF509+6C1otLavTNPBeRqDLNzBT4DSIC8goZra04c8aI0296\nWlSpqgp1dYU/n0gLa2tFJyeRTQwPa/0rWw8rFxNCG5P3eQ+Hxebvely9quRU8hKgRReN4tYtUX7l\nFWRdRFSHwp+BLIR/TZ3W1rLsFsMATzrlFzKM8atfiUJLi5x/5jGoJAmjRiXgH1G/UMiICUFkSUwI\nbay2VhkGo3NOCICqKgwOoqYGs7NobS1R1RCN4vBhVFfD7VZ+hRRA1zKkVBbk7XG5T64ePT2iJ9/t\nxuPH69K/eJzZIOUgv5BhjDfewMmTCASkCedFvNQzZJQxBoucxGLo7BTTZZ1OPHyo/JMULBgvKhoT\nQnuTV+/UOSdE0tKC+XnU1paiRoLHg74+PH2KJ0/gchU3JDPAl6u0QZ1/TQ0jI7h+XZT7+sQy+kmh\nnXuskX75hQwD1NXh3Dk8fuzYtavoV3iGjPLDYJGHs2eVhp6+PtTXp8kDo1FTqkYGYEJob9//vijo\nnxMiMWxKktdbimDMAF9R+NdMSz34Z/dudHUlHzA5iT17sGUL5uYMrhqVq7xDRpljyKgQ/DtmMjOD\nCxdEublZ2XpaFolgZASbNmFpyeCqkTEccXYB29nKCp5/XpRnZ4syF78oDIi+PPPLjPYpwb9mklgM\nu3aJ5t6qKjx6lLycUiyGzZvFaNLmZty9a0IlqexYNWTAwJyNscPqGCxyFYlg61aR6QUCePgwzVpK\nW7eKpsOWFty+bXQNqfTYQ2hvXq+yGvjkpJk1MRxbfCsK/5pJzp9XBv8MD6dZXNfpxBtviPLkJAeO\nki42Dhkyxo7yxj9fqp4ekQ06nRgeTr+yrrSNM4DxcXYSViQmhLYnzwn55BNT61EQNtkSKaam8M47\nonz4MHbvTn9YV5cyE/jUKSMqRhXAkiGDSRpRni5fxsiIKJ8+jfr69Ift3w+fT5TffdeAepHBmBDa\n3ve+JwozM+U4XTgej0vZYB45IX9DlA3+pfQLh/Hqq+K7HAjg3Dmtg+VOwvFxziQkXYoVMtbWlDlL\nZiikGZGxw7r4p8nJzAx6e0W5vh4nTmQ80uXCm2+K8sgIOwkrDxNC22tqEivErK1Z5BehnlgbT0h7\nZ+o/abyWw+HYwhBiWbEYrlyBy2V2PcrHgQNYXQUAjwd372bZVrutDX6/KL/9dsnrRhWgKCEjGMTW\nrejtxdBQ4TXKIz2TmxH1BwuZBzBqUTXKXX+/2TUoH9EoOjtFs47bjeHhLOsFtreLgBKLKYNQqFIw\nIbQ9v1+ZE5Juayl1rK2wZlE3cAR4AswC36ist1YhlpawbRt6erJ3RHDMsOTiRQSDonzpkvLVzkQ9\nk3Bigo2+lF22kCGRt35F2sDxzjtiQaPjxxEOl6KaOdGZE1YDfcAToK3iomElCIexdy+OH89yGIOF\nrLtbmT1+9arYl0iD243XXxflsTGsrJSwbmQ4JoQEsfO71wu3W323vLevI0F9Z0YzM2Jj03wZNiHQ\nC1wC/IALaDPmJUmnWAy9vdiyBTMz4h55R2zKZGZGmQrY3o72dl2POnhQzCSUPnOirDKEDIk6WKj/\nd13gGBwUj41E0NlZSF1ySsw0ugT1dBVeAk4AVcBr2seRwaSBJJs3Y3zc7KqUj7ExZepgWxva9P0I\nOnJEdBJGoxxUUmG47QQBoRBiMVRXy6MFdIbYeDzucKhOIemi3NuLgwcxMFBIjbQroP+kzfpGbgKt\nAIA5YCsXp7GImRl0d2NhQbmntRUDA/B6088P4V8NQDSKrVtFc6/Ph/n5HFLo69dx4IAoz88rK80Q\npZUSMiT6c7N4PI6REXR0iNunT+PMmfzqoj9aFf6EdcBsorwZWGLIsILUeNHWhkuXlP1R1Pj3kqys\nYOtW0Tnv92N2NsvkArXeXjH71+nEZ5+xrbZisIeQgOpq+P157DWf3PR7/jyOHkU0iitX8l6RPHsP\nZC6yNvr+IlGoAxqL9aqUN6mTats2Jbr7fLh5Ezdvio0T4vF1ET3ppp3Jg3+cTty8mVuQ5kxCykm+\nIUPmcDgcHR04eFDcPnsW09PFqVs6OaVtGqo1WPEAACAASURBVFFjDpAHVUudhBw4aqZYDOfPJ8eL\ne/dw4wa8XgYLLQcOiGzQ7cadOzlkgwDefFOEY6kPgCoFewgpWd4RzgP8xesVw8qrqvD4cU6/Sh0O\nxyDwETADaIxMz/uMzfS+HgE1AIDrwH5+HUyU2tDb1YVz59gAmd3EBPbsEeUTJ9DXl/MzDA2huxsA\nnE48epR9MgmRSn5RwwP8xecTP0x9Pjx6lNMP07MOx/8F/AaYAjQmGRc3ZLQDwwCAVWAjECn4VShP\na2vYtm3dBqr79+PSJcaL7K5cQU+PKA8P651coHb5Mo4eBQCPB0+e8DOvDOwhpKJZA3bKk4xXV7PP\n7V6vEegCbgOfAmnXlMxjObikh6e9/5eJQhtQ4OxHKsgHHyjZYCCAe/cwOMhIo4v8Xauvx+nT+TwD\nZxKS4daAXeGw6GkMh3M98X4IHAPuJIb9F13akDEGSEGiCuhS3c+uQqN5PMriRn4/HjzA6CjjhS5/\n//ei0NaWTzYI4OBB0Xaztoaf/axY9SJzMSGkdQqMalMADh8WN0ZGcprh/cNEIZiuubd07a/XEgHe\nCUhzrBnazXHunAjwJ09ifl4sXEF63L6N2lq4XBgeznOLDqdT2WNqfByhUPEqRxWukAvmJFQhY2hI\nWSM3q8VFuRc741KnJQgcUUAeJPdT7j9hLmlpoq4uzM+jkXM+dLt6FVevwu/Pf4sO9XKjQ0OIRDSP\npvLAIaOUrMB0yAl84feLJcXdbjx+DJ9Pz4vKQzd7gbTbFRflXE377q4C0lyWReBFIFbUV6QcBINw\nuVBfb3Y9ylAshrm5gj66WAybN4tvblsbbtwoVtWoshUYMlzAbOLir3M9JIfDcQyQfsxK64FlUvg1\nPPXd+YHHiVRwDzBRvNeinK2uslcwT7FYIdOAsbaGjRvFoKoCFoUi62APIa1TeOdYDMCNG6KbIhJB\nTw9isSyPAWoAubm3pOtGp43Z8qjRGqBJdX9xV7ih7JqamA3myeks9KNTdxLeusU9CUmPwq+QUeCA\nPBkvHNbehUK+Jr+UuEdj+bKiZGipT7IMJDbDwU/W163wl6PcMBvMWyHZIACPR1kU6r332ElYAZgQ\nUgnU1eHcOVEeH8fly1kf8ai/X7o4BVXLuJVI0lzE+fn5BbdbXuHuUMrxDPNkF/v3i+VkYjGcPWt2\nbcguFgBlxvn4OC5e1D7epWq5+6hUlVKkTl9/J1FoAdQZCYMF2cgbb4jdRFdXcf262bWhQnHIKCmK\nEszEGRWLTW/YIAb1u92Yn1fWtU/3uvGmJmn2yFEgbfpY0hPV4XAcBK4CAKLA84lZhca8OpGF3LqF\nffsAwOnEkyfKsg1EKYqb/9wDxLzhzHMNpFdsA6QBzavA86pB/mpFv2ir36wTeAJUAwBOAedL+bpE\n1tXTI3aeqK7Go0ciP6TyxB5CKjJpSI9jwwZlFFAkgs7OtANHpWOrAXktgTy3LyzYSGKvC1diPiEV\nGVdwLQstLaLthsuNkrE61SHj1VdTQ4ackr2cuGcqQzZYCupMLwa8lygnLS3DiQbFEQ6v24KIrOn1\n18XQ01BIWpOPyhcTQhL0xLB4gp4nDAE98o1gEOfVrajromZz4s7lDONFS909CCAGjCTu4dpxRRaN\n4uJFbNokNhwjK5NnErpc+M53zK4NWZf+tEd/yOiWb0xPp4YMuSyHjF8X9oqFuJZYDbta2rJoPeaE\nBRkawpYt2LULq6tmV4U0+f3Yv1+UP/7Y1KpQoZgQkiBHUBdQp+PgpGl4Xq839bAR4JZ84+23MTeX\n9tnkDScmUv6pwL0H9ZCf/xeJxuaAPHKJCrewgBdfxPHjWF0VW58XXTTKGe3FtH8/Bgbw6adcOI40\nFBIyMrkOjMk33n4bMzOpx9QDUrCJpRtRUtKQoX7mNVVVU2eegzlhfpaXsX07uruxtoaVFZw6ZXaF\nKJu33kJdHYaHcfOm2VWhgjAhJIULuAv8BZhNzI7QJncY1tbWzs7Opj2mExC9QrEYXn0V0SjWR0q3\nankAubk3p67IYllW7Wf1w5R/ZXTPWSSC7m5s3aqsV7m4iJWVYr7EtWtoaMBzz2FoqJhPW1kynboZ\nT2mXC4cPc/k+yiqPkJH1mG51yDhwIDVkyPvNzQBJ/UcGhwx5eep6HSkxZRGL4fJlbNmi7EXpdOKb\n3yzyq0SjmJnhYFQ19ZdLTzmZ34/ZWbS3F7psKZmNCSEpnsXjXkDa1jptF5nGReGFF15Ie/8asE++\nsbyMo0eTDmhMjM9cBYK51LaI5J8RcoBvAzyqA6Q3zskhOZicxJYtGBoSE4GcTpw+jUePkK4nOX+r\nq5iZQTSKjwxYa9ACdOzgoiafsUmnbqb7iXKSNWTkYQ3olmcGhkKpnYRya92vivSKOVHnnEFAHvSS\nqZOQ3y9dFhexdSuOHpXyfwBoasLsbJEHKfT24rnn0NCAd97JfnAFmJjQmLrvSMipbFTVyQRMCGmd\n2mPHpMJL2sflYgZQFhEfGtq1/poiR/dJA5cHSCWF+fHE0jLuzEvL8JqYxdoaOjqwZw9CIXFPbS3m\n53HmTPGXINuR+BU6M1P5i9ZEo2howPnzmdLCtClf0gEa9xe3smQTuYYMPZ14E8AQEAQ2x2JoalKf\nnD5VX1zSFAPDugfVLyQvLbM7kRin4pdLSyyGM2fQ0KD02rndGBjAvXuorS3ya3372yLhnJrKdmj5\nm5nBvn148UWlxzWhkAs+g0UFY0JI670s1m/L1Nyb6VqgHYx7VTv53vV61WPRWhKFTMsDGCYejz+L\nx+XNdH6a+UheEDO6dQubNmFkRCQtbjf6+vDwIWpqSvJytbWiyzESyTRDtXJcuIC5OZw6he3b1Tlh\nsRpxeVZTPrKFjFR6pgMcBXYCSymnZXNiRMkSsJxbRYtJfgtjiWGrVemWlpHxy5Xe3Bx27sTZs8ok\n8NZWPHyIw4dLMv6wMTHceHVVaa+sSNEoursRjSIUUq/xXqx0judzRWJCSOt8ZedO6cpRBRSxdS4G\n1H/6qZiVtLLyZuL+xsSuvmmXBzDFsSdPpFAUAEqTxFSoUAh792LfPmVduPp6zM/jxAm4MjWdF8zp\nVGL8b35TqlexgulpvP22KL/0knSKZorujNZkmLxDhnZOGMswYORvE4WkgaRm7f4XBcYT5bSjRim9\naBS9vWhoUPqvPB6xMEmJWg8BBALK1OhbtzQPLXPd3UqP6+gonM6i9+wxylQeJoS0zufx+HSiXOSV\nNn0+9PcDwLFjZxP3yeNFgyl7wZvG70dj4wJwQLMFmlfDdaRVwscTP428Xty4gQcPxI52JfWDH4hC\nysCYyiGNwpVaeevrcfJkiV6HZzXlqpCQkWsW51SNKLHCpGGp/tKo0UlAe9dOfrkUc3PYuhUXLigj\nHVpaMD+P9vaSv3RzYsuS3/++5K9llokJXE8MdTp5EvX1JTr3eEpXGCaElExuef1braNyNjk56ejo\n2AI4Ll6UtwiQo/uHqiPNauuVfTkYfBG4nthmirQsL6OhAd3dypgfKbS3tRm05lhTkygsLOS65krZ\nOHAAy8sA4HZjeFjuHizFSzlUSvH8VHmyhoxinUs7rDeiBMAC8AKwS7VIdSb8WiEaRU8PGhqwuCju\n8Xpx5w5u30Z1tREV+O53RSEYrMx4sbIijxFdAr58/nxJTzkGi0rChJCSnbhzRyo0Z9ifPb9phHv3\n7gWwqLqnGvAlyvKoG9OzQQDPLFCHMhCLobcXL76oLAPo84nQnm4pUe2wkX9QCQTg8QBAJFKZSwXc\nuoWJxPIZ/f0IBAx7ZYZ50uOTRCFTyNCQ0wVfHlEytX5EiYlRQ3rpcC4Pse/XKhjE5s24ckXJxNra\nMD+P3buxPgSkhgPtf82BvA7Z8nJlTiPs7BR7O7ndewxs1LbvWV1BmBBSih07pKu1O/dphPEUT58+\nraqqAhCNJl+aWhK/HhaAsCF70BfRs2fPzK6CqYJBbNuGCxeUjsH2djm0qyW1IOq8mUN0cTqVUUDp\ntrEub0tL6OwU5ZYWHMy09i2RaaYS8/00QobGN1odL7RfSN6BUL0CmelRw5Rdc8tMNIrOTuzcqeRg\nfj8ePHCMjTmefz5TspcaDgoNFgBqa5VphJW3DtnFi3LrYXckYvCqS8wJyx0TQkrhcjkTw/ByXWs0\nVXV19d27d93p9hv4UaIwkfpvZssa3ffs2ROJROw7WOLDD5XsKxDAw4eOkRHHN76h/wn0f27ZP+Tv\nf18UfmXKzmQlE4th3z6xnYbXi6tXHRs2OBKriRpThXUvJO3pTKTicDiiQFFmnmuf1QFA7hwf1ziu\nHNguarhc09euKR2Dhw8/t7zs2LatWE+fW+dhfb0ofPih5nHlZmEBp06JcnPzNTOqkPzhp3QDkJUx\nIaR0XhJ7Sn1f+zB96urq7t+/n3r/KWAEWDVpf+ECTU1NfeUrX5HKdhxGf+4cqqvhdF4GvrK05Gho\nkO5OarXV/kyy/qtGX+I6cg/h0lJF7UZ49Kg802bnyoqcb5twpkWjOH8emzdj1y5lFVmiRNvZx4mb\nGiEj63mr3QwXBrqBcWAqxyGa1mSTkCFft3uACLAAbAMcV64U/TKtN1gAeOUVUaikHsJIBHv3SglY\nCHhuctLk+ZFzc3j1VXR0mFsLyomD4xwoVYPD8RAAEAW+kmH575zOHI3IJ40ajVlg5E+qPAK2Bd9F\nUTgcKdeKYBBer2PzZuMrk+ZD3rhRDEa6cQNtGvuBlY9gEDt3Sm3qF4HjRXrWeDyez1n9+efYtElM\nTTl9GmfOFKk6VAkcDkc9kDVkQMflUefJWQ2E9D2hwRgyZFLIUH8g9cBc5nOjRNJ8vNIap5KnTw1a\nzKbUOjowMiIVt6l67E0Rv30be/eKG7OzqKsztTqkF3sIKY2H8bg0M8ylmraRn6ztoJn2m7KC1Jkh\nlRq8Nai7+9b9KZuaTMkG05OXCvjkE83jysTqKg4ckLLBGeBs1uPTSTp75Zt5zHdyfOUrPVI2CODd\nd9lJSGrxeHwG0BMyCu8TcwJ9wGOg3pJX43y+XBXXVZhphMiMGbE+zcdbW6sse1YZ65Cp9pm4kG82\nmBQsCqnOhr17lcXP3n23kKciIzEhpPTky+RL6f5Vz/WiYuKc/jUPUFmTQ9L+Ba3wBtPUITHIGZPW\nWY6+AD09CIcBwOU6kPipnRP5XM106ub6y/Vaok8GkQiGhnKvEVWyeDyuHTL00HNtGQROAC7gNgC5\nkcJi8vg9Xe7hMn2joWWsq5XTicZEq8XvfmdKfYppaWltzx6p9XAhr9bDpLbCpHIeJ3MM6F5aEjfG\nxpQtRsjamBBSei0DA1Ih7SIBJbnuV+SmQJXI4XAsLy9fuXLF7IqoqBcTt+rPRL2uX8fYmCj39WVd\nKS61E1t/CNd/ZBT4mXzj7bfZSUhJtENGsbyTaB/xAjh6tJQvVZD8+lismU1p0zlj3HTrqve3iS0z\nx8t9fSKgu9sDAIgAe3PcZ0JnsMgjLVQaEAG8915OjyWzMCGkDBILjdYDaVYIBaCZFuYaGwIAtm1T\n9luzKv3vy+LRMdW6Csdi2vXftGlTT09PyeuUWXL1qqpQUyPKZT0KaHER8gfb3LxB30/eQlpz9T9k\nSI7x0SiumbKIHVmYjpChQecFc1k9n3ZsTGk6sR4LjmjNQ9q/S2p/oN/QShVM3h5pZaW8GxDPnEEw\nKBV71TlYNnkEi5weElM3IF67VplbPlYcJoSUQU2NvF2P9ozgwjOf3cAsgJkZZU9VC1pYQDic01hZ\ny46fUVMvyCYKIyPYsiXN1vLFVuAPptQ5jaLw298W8rRmisXQ0SEtlLoCPG/USnE6I30U+Ll84513\nKmpBVyqc7pBRoCFAGRd+4ACWDd5uTZ9YDBMT+U0pLFGNcpUayJKChXSYH7gPPMirFcBgymfr98Pl\nEuVpc1dgKcDUVOysGCI6AugZsZN3u6H6GXQeqTQgxmJ45528X5EMw4SQMkts1/PDHB+Xa0hbkGdJ\nraxg3z7L7V0zNYWdO7F1a34XNdPTQo1e3KR/8gP3AHR0YGnpUranrdOxdJhG7JEnKmR9Em3KW/je\n90ShbKcRXtiwQV4JvQMwuGlEzw+FK3Kt1tbYSUhJJhIDiTVChvyFVV98cr1CKt+OWExefskqYjFc\nvIhNm7BnDxYW8ngC9ZXZ4Nih0ZSZeo8TOAM8ApoAL/CWITUskHgXTqfSgPjRR+ZVJ3/PORyhnTul\nRdpDgJGDp3VG7XUNiNevc5aB9TEhpMwS2/XUax9WWGgHEAb+x3PPiRvT03j77VyfobRCIUxNIRbD\nyAii0TKaHKK/r9IJHAFmVfN/dkizdDKbnZ3V+VEkZRo53dRDvLWWFjidQNlOI5yZOZYorusD0VT0\nYWnaTxgBlOkgb7/NTkJS2z04KBW0Q0baHqecrADKBmczM8c3bMj1GUrI6cSHH4oxcj//OQqYT2jk\nSJNcpwLWAPPAaSDR0YaqItUkNRwk3VPg84t3Kq9DNjNT4BOaYgfgAwDEgA5Az4W4iMFCZ5hWGhAj\nEcv9rqMUTAgps8RKXH7Ak+3YvEO7ZPQvf7n99a+LGxcuWGsUR1sbPB4AiERw6xaKdGEtSozX3/uH\nzHl7DTALXFL9lYeATZo9VPInoPFRpF3sRKPDUP2v+XzCHo+y1HUZLhXgaGi4DMSABWObe3N17vPP\nxaLta2tcbpTWySVkFGhSNUbuHLDNMiMtAeC110RhbAyRCIqYxhQsbVzI6ZmdwAAwDyQmbWMFeBXo\nLKBWSbOg0+aBSf9awKsBwPbjibmoi4tlN8PN4XDcAjYnNiUKmlSNrH+FdQ2I166xAdHimBBSZjU1\n6O/H3bvP62t/ykM8Hh8eHpbK//c///M/ffWrQGIUUCSPxfZLw+1W9jpPrJeVd7Nlmjl7ucv7SRwO\nx5kzZ7Zv3y7ddANngIdAbeKAELAT6M7lL64RuQuR05OIT+DQIRw7hjt3sH9/ga9uiuPAduDVDCvF\nleJDzofbjddfF2XOJCS1mhr09+8CShcy1I4D0tr2LmAYeM46OaHchri2Jm8QV5QvbHFDRh7PVg88\nAg4DzsQ9Y8CLgP61fdI2FOZUhwIfKAkCYgij02nRaajpqP9ky0ADcCHbQ8wMFsBldSchZxJam8Os\ns4TKSHHHq6Sech0dHSMjIwBqgd996Utf+s//BID9+zE6WsTXLcjCAl58UZRnZ5Eyfa7Ajyj1M3E4\n0n83NV5IPl5nZeqBG0C16p4LwNuqXe/i8XjapzL+oqHzHZXj1Uz6Q+t5g0a+O+36xJ89w6ZNYqfE\nc+dw8qRB1aJyUPTxjeozP+nJm4B7ieRkDGizzhXg6FFcvgwANTWYnxej2ROK8hElXRBSQ4b+a4se\nHuD0+lRwGejRN7jdOtcutTbgxoMHqK2F2/oL4uRzzhjzsWet2EngnFSqqsLTp2XxadsTewgpu2Jd\nVuLxePzwYZw5g6kp9coxg4ODTU1NABaA/0/KBrF+NzbT1dbKS+zgl79M/fcCP6KkwZz5Nd/qP9gN\nXAXuq7LBGWAr0JuyB3ra3j/9VSoWnS9qzGSbokhqsDe7Osm0P3DHl7+MQ4fEjXffZSchqRXxEuEF\n7gK4dg1LS0j3TQkCFxPlNmCPdb5KP/2pSAIXF1O3Uypub6F2ocBXkewAHgNHVNngELBVRzZofMjQ\n/3JjgGPbNuvnJ3nENSM/9qwvdAUQH/LqqmglIWuKE+lThJPtz3+Ou91xIA7EHzxQP/lnn33m9XoB\nOIHf/dVfiWO83vinn5r1fpONjopaud3xzz9P/ffCv4ka/6TzJY4dO5b1mN3Av3z1q+K9AM+AE6qF\nAVJf1CKyvi8rV14tpzdi4jvKUp9nz+JerziLTp82vnpkZfmd5Km6EpepuN+f6WldwGzisL8AFgoZ\nra2i8s3Naf+9WJ9SSXmBQeAL+Q8BPAGaNR9i8Mdc+Adrdn0zyu9PZrV6xuPx+OnT4vypqoo/e2Z8\nDUkP9hCSXtIZU9BTBINiZqDbrXS4AQC8Xu/du3fdbncM+Mm///t/SO1hKys4cKCgVyyi1laxlkYk\ngpGR1H8v8MPRaALU3zp48eJFjX/1ATeAO8BX//f/lu6ZBjYDFzJMWrOUnD5eC/a5lZesH6Djy1/G\nm2+KG++9Z7mtYshUhUaKhFfk0o4dmZ42qpp26wHQ0ZF6jDnkpWWCwbRr7hfrUyqdVuAR0JXoGIwB\nFzU7BovwI6EYcq1DGQ0tKUcOhwMHD4qNH1dX5Vm1ZDVMCMkg8Xgcv/mNuNHcnDSnAkBtbe3AwACA\nReCIfEEPBjEyYomLtcuF9nZRTjdqFKUM8Ldu3SrwQ5BCe5t82+XCwMB2eevY9awQ1FNZs1Y5ye+P\naNE33tUlNiJfXcUVPbsik40UftI6gd2exGKlr7yiceSyemHeqSkUfLUsjh07UFMDANFopi+IRb/a\ngA8YBW6qNpOYA7YAx1OWC1L3MBhdy8zyqExlpIXG/xV0fWg+Hw4fFuWzZ621cSglMCGk3OR/uYlG\npT0bgIzRvb29vaurC8AVQJ51EenoCFjkYv3Tn4rC3Jy8gXiSpLhYrEi5b98+nUcODg4+ffpUfU8A\nuAfcVC8E39yMx49x+PAXKXWzWlxPor965p8t+Uo9f0ysjBaXC11dovzOO+wkpCQFnrpf3L4tpqe6\n3co24hkMqUPGvn1+i4SMn/xEFDL3olvwO34YeAzIKzXHAPT3133xxeMKDRZq5p8zACw/bzDpdbMe\n43A48PrrohsgHLbQ8hCkwoSQcpbHRScej2NmRmwXrt7FIcXg4OCOHTsAdCZaIt3AcOJfTb5Y+/3K\n75Kf/UzjwNQ80JgrdTwe7+rqqq6uVr/cG6rt5uHzYXQUd+6gujq1tlaO7mplmhPqr4/pf46sLy0O\neOstpZOQqwVQirzP4Xg8jg8/FDfa2uSVPzSe0IohY/9+8SN4dVX7R7ClLsKvAMpCK/X1zsePceyY\n9EYsVU89yqWesvwaMsrgbbKT0PKYEFI+9McD5ciPPhJ37dghRpNnMDo6CmAF2Ce1TQL1wInEv5oc\n4NU7DqebFlI6Bw8ePJnL+v7yJ98rb7i0fz/m55XfKOVMf05onbSwDGJ2rlwusSdhbS1qa7MdTXaU\na/Igjo/FMDUl7lo/oiT1CR8/flxVVaUOGY3AwcS/mnkF8HqV1s8PPtD5INPTrebHj+F2w+3G8DAe\nPEAgYGJlClfWF14XUJ/9KJPp7SQ8dEj89giFMo2xIhNxH0IqSJb9ytRn18aNCIUAYHBQGWmW7WkH\nAenQGNAAzKU+rcFiMbzwgujqHBhQWrx0KOR3ifyWc/jA1W7dgscjLcxQMfIYUVOimujncDgCwCDQ\nndhTO4kVKinRe6ZFIpiZQVNTBbQykAH0nlfBILZvBwCnE3/+MzwejUdhfcg4CFwBTq3fUrWQOhdk\nehrbtonyo0diVqE+pqSy4rOamEBtLXw+4ytQCuUSLFLrOQAcBi4DvZprv5keOPRupXv0KKJRvPEG\n/H4DakU5YUJIhdK1d/nSEjZvFuVPP9UOM+ondAGPE9vlLQFbEzHezPP21CmcPw8AdXWYnc3podqf\nlZ5N57M+ia3kFOaN/4ik6smvu7i42Lp799gf/1gLRIFuYCTlIZb6O6b9eGtqah49emR8Zahi6LqC\n9fbiwgUAaG7G3bv6n9MDVAMLWZ/fSNu2YXoaAI4dQ39/Tg81Mie01MWn6MoiJ0yqZLtq8HNHungB\nK/3Vsn7C1qkqpcUho5SjlJHf8XSSHyUvJ5Njo6O0pLj0kgEgt1haIq+9JjpD5uYQDOb0UF2flSFP\nYkOG/bRSbzqvvrl9+/Yjf/yjNLDSlWF9V0tJe2otLi5aaiAuWV1+IWNmRhQ01xeVqM/GtXTZoMkO\nHRKFa9fEMjm6Ffcin/aTZxBJy8hLXFLIkPiAS4lyEEjdq6G8/mplVFXbYkJI+oyP49VXsXEjhoby\nefivfy0Ku3dnPTbpwjEDSCt2h4H0uz0YzOdDS4sov/tuEZ847RWzvC76Bsv0ybiBNmAYuGlwhTTV\nrK7K85ouAsH1/1p2f2jmhKSlkJCxsiK61AA0a++CDlj/t6a8h+3aGq5dy/tpCnmbZXd5KTo9bz9p\nbQNjLnFpX8WpWhh8DehMNItLrPnXtGCVKCdMCEmfhQWMjSEUUtaG0S8SwUKi0faHP8zjxXuBXmAz\nIDUam3/dkVt8JyYQDhfxidlqm6u0n5UfuAG0A62qfbSMkek3hBe4kdjfGbW1x549K4s/NLM+ylMh\nIWN8XPQrer3q9ZDzZvL3y+lUViP7xS8KeSbtLj69vX92XeAx08W2GRgEHgGnDaxM2l5B2THVWjKd\nwHKizGBBpcOEkPSR1yMJBnPecGx8XDykujqnKfWyKHBBtUKA+RobRYsvgJERM2sSDKKhARELfTZm\nUUejRdX8e4usfTkMiDPG5cLoqPZCu+WCvwAoo0JCxm9/Kwq7d+tcrEj7V7L5g5xbW0VhaUnp/DRe\nLIbz59HQYNucMK06oAuoAVpS/smU06ZJlZoOAbc0Di0fDBbWx4SQ9KmrExuOqbv7dPrVr0ShublC\nliJUt/i+/745dVhdxauvYudOzMygt9ecOliJ+hdhLLEgLYCXVMdoN8qWTjugjHu7dCm/ZhGicpJ3\nyIjFMJHYZF7HBEL9HCpFfFpdamqUPWzNChlLS9i2DadOYW4OFy+aUwdrSGo+CCYKAfUGjKWkcQZ6\ngJuJwatBoMeQ+hCBCSHp5XKhPjGEQd4vWI9oVFl5Rfd4UY3mXrfbPWeFHWy6uuD3o68PDx6Y8Ooj\nI9i0CWNjoqH32jWDN0W0PnnPr7RbbRT9F6H0hGmfNqBaG2ASwMGDqcdYE9t0KX95h4ypKXE1c7ly\n2inHskPphEOHUFeHGzcwMGD0S8diOHMGW7YoS/X84hc5d9tWrgXVDL3UE87gy+BgYppDBOhImTpo\nZE1ywmBRAZgQkm4/+IEo5NTcOzkpFAhaIgAAIABJREFU1lXzeNDYqP9xqWPlPR4PgEgksmfPnojp\ngyS9Xjx5ghMnRCu4YUIhbN+Ojg5ltbrGRszPG10NS1KfMHKbQU0ppxGqOxyyrg2wCnQCZdRJbuXf\nH1QG8gsZctKyezfcuXXY6J9hZcLv19ZWzM6irc3oK8DcHF58EWfPKsNE29sxO1sZo9bzpj5PIqpO\nwu+nO7i4vcoaT9UOtCXKPYmVqC0+z1xi8eqRHkwISTd5xMvUVA6T1uS24ebmPCKQelr8jRs3pDtX\nVlZ6emw5kuLCBWzZovS4ut3o78f9+wgEzKyVlchhaQGQMmaXana+WoExXufDTwLy8NBu4NPKipr8\nEUBa8gsZ8hSDv/u7/F5W49dz2TTGFEUkgu5uNDRgcVHcEwjg9m0MD8PjMbVmlqA+SRLLoKMu8/GF\n54TaUaMGkPuOb2XYdZCodJgQkm41NSKji8UwNaX3UfIE+nyju6y5ubk/savvyMjItQLW7y4/c3No\naEBvr/K7avduPH6MY8fKqMfJGNLPwag0PhNAthhfur6CJuCtRPl8ea4NkH/KNzcHKwztJhPlETKW\nlpTspU7ji5uPADCreTWoKOPj2LIFQ0NKx+Dhw5ifV/ZMItX1Tb5UNWmOKMkvWOiZueoCbiZmMIaB\n7pQaWl/Wqmp9AhzAbAFMCEk3l0vZRfCTT3Q9ZGEBy8sA4HTq2U4qq2PHju1IzCo5evTo0tJS4c9p\nddK6cNu2KSOpqqpw4wbu3IHPZ2rNrEsKPPI5mnXqaq5hXs/x6n0mZoCzZRXa1TJVO+PbWVzE9u3Y\nuhUdHVzM0NbyCBnyVc7ng9+f9yunfkPbgVmgFhg1auEQ00gdg/v2IRQS9/j9ePAAAwM2HyaalnQd\nm1MtY669MHVOwUJ/g+NpQBrnEwP2AWW6JEA+MS4SEWsiyKcrmYQJIeXib/9WFHQ2936QWNqjqalY\nY1RGR0erqqoARCKRvXv3mj+ZsKQWFrB9O06dUtrPWlvx6BHa2jQfZndSWJLnLQUSs/g06AnbOS1R\n+Flbm7TPxBpQ/+TJF+WZDUpSx+A9ffo049EulxgXsLiIycmMh5Ed5Boy5PGira2FjH1I/WG6lFi5\nUb3IUwWanMTmzes6Bo8dw/x8ThP47UYaUSJvBvKS1rFALsFCZwXagROJ8kVgpkzmDeYhzWcirYkQ\nDuOdd8yoESmYEFIu5ObehQVdy1r++Mc4cQKNjfntR5+W1+u9evWq0+kEsLS0dPHiRVy8WIG/O6NR\nsWGUPOa2uhq3b+PmTWULRNI0A4QBAE71rg+6qUNXriNL2wGMjUllz+hoIX0d1qGVBKr5/di/X5SP\nH2cnoa3lGjIGBnDpElpbC59ikGQGuJAoHwR2ax1bnqSNiPbsQTgs7qmrw+ws+vtzXZvHnuRRo3pW\ntk27lph8T07BwqtqoZgBTjx7Vr55YD5Dag8dEoVr18SAMjJLnCgnVVVxIA7ER0dNrMWRI0cAeIHb\nUmV8vvif/2xifYrs4cN4ICA+Z+m/rq7455+bXa0yA+BG4gPsz+WSmPUebQHgL/Ifrr3d7I+hOJLe\n49OnT7WOfvIk7nSKT+DOHYOqSNZkXshIOmmdwKz8xayqqqiQMTwc93qVeOF0xvv64l98YXa1ygaA\n+sSn9yzRmWwAJ3Bf/qtVxM+YrG85+QFffBH3+8UncOyYGVUmgT2ElCN5KqDOOSGl0d/f39jY6JEb\nesPhiW98w8T6FI00/WPbNsjTI+vq8PAhBgfZypureDz+20RZ/3ZmqW2cubZ6DsojVL1eXCr74Wlp\nG7w3btyo9Rh1J2FvLzsJbc28kBFf//M0BhyQp4qtrlZIyFhexq5d6OjAyoq4R+oYPHGC643pF4/H\nFwBpYobLwA7kY0CTfOPq1XLfPiprrIynZoxOJ954Q5QvX+ZMQhMxIaQcvZQYYD81ZeLvPKfTOTo6\nGna7exP37AY6SrlipEF6epTpH04n+vrw8KGyvzPl6NKTJ1KhtpS7EaqdkQO804kbNyp4efcs37W3\n3hK/RxcXc1iUmCqPqSFDavlWbgcCRxPF3UBPZYQMecaEHDJqtRdGoTSexeOuxEYp3zXqRZW5NCdO\nFGXhvbLU3i5WyIvF8N57ZtfGvpgQUo4Si3xiednctpzq6upIJHJRtbvAAFBd4o0ESu70adET2Nws\nNr5nK28h/H55yuWf79414AXnABHbjhxR9mErW/l/lfx+dHWJ8qlTxaoPlR8LhAx5TNTS0tI1YCJx\nfx8QKPeQ0d8v1g5lyChcIpHWP6KkQA3ARel133or68EWl0/3oMTlwptvivLICNbWilov0osJIeVI\nvRq4NfYZ60ys0ewGhhN3mhPgw2Fcv17QM1RXo68PV6/izh1UVxenVjYnL6/3619rHlcE8Xj8TjyO\n+XmcOIFz50r9cqbL3kko/VSdm2MnoX1ZL2QcAKThleaHjIUFFLihbk0N+vsZMorj5Zel/68H4p9/\nbsALfhGPH4vHMTtr9ykhBw+KhtTVVS43ahYmhJQ7ud/jww9NrIUcv8NAR+LOJuCkKbVZW0NHBzZu\nRGensshbfg4fxsGDbOUtGnmF25mZjC2UhZH7H8Ttqir09VXAll+F/kT2epVFJtlJaGcWCxlrQGfi\nznrgjCm1WV5GQwO2bkVPD0OGVTQ2Kh/j4mKJ4oVkXcgo/79docHC5cLrr4vy0BA7CU3BhJBy973v\niYK8ibDZJoCRRPk0UGd8DTweTE4iFkM0ip//3PjXp4zkGZhzc1hZSZ5TRJkV4YOSZxLOzGBiItvR\nVKEsGTLkjjk5ZBjaSejzYWlJhIyREeNelzS43aipEeUPP0RRroEpKjIGFeEdHTwoptyvreHy5cKr\nRLliQki5a2kRhVBIWQzTWKmRuweQquIERg1cNlrR3i4KV64o+8iT6aqrlZ0bEyPWihiPKy+065f9\nvdfWKpeLs2dLXR+yKEuGjN7EwFEAN+SVgQ2j7hJ57z2GDKuQN8AsTbCwbbzI/sY9nnXfiEik1FWi\nJEwIKXderzJXwaSpQakXlwjQAUhr2AVy2XeuaN58U2nfkpd9IyuQV2/7+GP5vlwDc2ost0N0L8Ib\nPH1adBLOzWF8vPAqUfmxZMhYVYUMv2pzcOO0t4uvxsoKJ9lahbxA68yMPHCx8Es9g4Uuhw+LuZSr\nq+w2Nx4TQsrLa6+hrQ2jo8puYxYwIy3YBQA4DBidlXk8SuLx9ttIHX00PY2dO9nuZYKXX0Z1NQ4e\nlNcMkOQRwNS7uBavfpaW6Z3q/QRqapSrxNtvF6lSVG4sGTImVQNH24H47duGvnx1tTK78mc/SxMy\nJiexfTtDhqHkRcgikaQ1kPK77NsnWBRhxHVV1bq1qTmT0FgOm5ypVJFSL0Bu4BFQLd3wejE/rwwX\nNEAwiO3bk++MxxGJ4NQpXLmCWAyHD2NgwLgqkQ7yiSRfD1PvsblwOPzCCy9I5c8++8yb09dqeRmb\nN4s96G7eRGtrCSpIlF1qyHAB80AAABD/+tcdi4uGhoyJCezZk3ynFDJ6enD9OmIxnD6NM2eMqxLt\n2gWfD9/7HlpbM+0Un3QixePx1HtKWENLyn/bCbXVVWzaJFLBq1dx8GAxqka6MCGkYjt/Hp98gh/9\nCC0tpd6VO+0FqB54AIhFu3bvxp07Ja1DUoWyH+N04rPPMoUZImsaHx/fu3cvAL/f/+TJk5wf39Eh\nhgA1NuLBgyJXjspadzdWV/GDH6ClRSw9XzJpQ0YtMCuHjOZm3Llj3KqPDBlUEfR0D+pNN86cERPO\nAwE8elQBS7CWCw4ZpWJ7/31MTqKjA1eulPql0l5fZgBlXNrEhLVGotfV4dEjhnYqO7/97W+lQl1d\nXov4yvsOT09zuhQpolGMjeHWLfT0IBgs9aulDRkLQK98Y3Kye8MGC+1T39jIkFEJZmYqe+hvMfuW\njhwRfQlLS4Xu0km5YEJIRaVeRG7HDgNeMJ7i888/v+b1yqubxw8fRihkQE2yt/VeuoSHDxEIGFEZ\nKrWxMWu1NZTY9PS0VPj+97+fz+MDgXUzbIkk8tIdTqdyhpRSasiIx+MXgSAAIAQsAgAcCSWsStYn\nv3oV9+8zZJS9UAi7dmHLFiSuojaUQ8bo8eDwYVF+7z0x14BKjwkhFdXYmCjU1CC/noSCud3ugcHB\n/f/lv0jNcY5//Ve8+qolrilHjnDwQ4VYWkJHBzo68Oqrdpj47nA45ISwUV50IVd9feL8Dwa5DC8J\ncq9gXZ25/WAHgPPAFiDpN7uZvYXcbr4ydHZibQ2hEF59tYL3FylmJ+GhQ2K50cVFXL9etKclTUwI\nqag++kgUWlpMjGQtLS3tZ84clW/PzOD8ebMqQ5UmGsWBAyKuB4OVGuAdKur7X3zxxTyfUdqT0O1G\nV5eytjvZ3AcfiMIPf2hqPRAGTgGVPKqPTNHbqwySHxyEy4Q9kg1Q5O50r1dZTubDD4v2tKSJi8pQ\n8YTD2LhR9MU9eIC8exKKIRaLbd269a2FBWlBw3/77//9v/7qVyV8PT2XQn7XKsPx47iY2N/k7l1j\nxrkZTzu65xk4wmG43cpaU9JL8HthW6EQNm4U5U8/LfWKMhqKs0Biji+Z/Rh+Ncrd5CT27BE/ik6c\nQF+f2RUqFY1vUJ7fnVAI+/bh0CHs3w+nk8HCAOwhpOKZmhIXPp8P9fXm1sXpdN65c+f0f/tvc8Ae\n4KX/9b9iJR01yuuUTQSDuHxZlNvbKzUbLBWfDx4PHA7xnyTpJtmHPHK4ttbK2WBJMGRUvLU1dHeL\nH0W1tTh92uwKlUpJvkHV1ZidRUcHNmxgsDAGE0IqHnnwj9SiYzafz/fu++9vBSaAmZmZ3t7e7I8h\n0hAOY98+EeADAVy6ZHaFTFOSXwAM83Yjhww2rFDl6ewUC9q5XBgdrdTBolkxWJQLJoRUJNGosjzA\nyy+bWROV5ubmw4nlqi5evDgxMVHCF9Nu8WV7cAWQNkwD4HTixo1Sb7NpohL2mTCQkyQaxUxiNWhT\nQ4ZpE2cYMirYmTO4dUuU+/tRU2NqbcoTg4WxOIeQikT+6vp8ePrUCj2Ekkgk0tDQsLi4CMDj8Tx6\n9Mjn8zkcJTvzM13C+EUrd5cv42hioaLTp3HmjJmVKbFi7jKc8tRZnzefp6WyY6WQkXXGLEMG5WBh\nAQ0NYr2xtjaMjlrnF1HRMVhUDPYQUmFSh3Tv2GGpa5/b7b5z547X6wWwtrb2wgsvSNevUu0xFY+v\nu0hJN3nZso5YDMGgsiqMTgsLOHVKlJubcfJk0etlKWwopFKxfMhIxZBBOYhElO0l/H4MDFj89C4Q\ng0XFYA8h5UsjNFrvpBoZGeno6Ej7T/wK2Eg0iuefFzsHzs/r3fwgEkFDAxYXAcDtxuPHJi6AYZiS\nrDLKlRXtzNohQ3+yx5BhF5EIZmYwNwe/H62teh/V0YGREQBwOjE7a4ctdhgsKgN7CKkErDfyu729\nPdM/mbnvMBnM5VLWv5X3hsrq6FGRDQK4edMO2WCpMH5TWha4CMfjcY1frkeAQKLMkGEXPT3YuRO9\nvdC/Z9XYmLKR+sCAHbLBUmGwMBwTQspLuUVEhnAS6upE4be/1XX83Jxo7gVw7Jh9lkPU+HFcwh4S\n/gggU8UT5HsCwAPgEjBsYrXIFPJaR/KWWtpCIfT0iCObmpSt1StX1nHUDBZlhAkhlUZZJWBMF23k\npZdEYXIye4yXZoPI+0xU7rbCacXj8aqqqqR7Cgrw16+jv7/QalE5ynqNtepFuB5oTBTOJO5kyLCF\nHTtEYXUVCwvZj+/oEMtQezwYHKzsqYN6FBQslpeZ8hmMCSHlrtxiYabg7QX8BleFTNfYKPaDkuaH\naOvuxvIyADiduHrVbgF+ampqdXUVgMvlevbsWaFtvZOT6OzE8eMZc0KGf7IGdcgYASYT5dNAXbrj\nqTJVVaG6WpSzBoveXmXnrYEBBAJaB5O2qSls2YIzZzIGBQaLEmBCSLkrt69i2h+ybcA8cBOw1298\ncjqVdt+PPtI68vp1ZTZIfz8aG0tbMev5VWLmTEtLi6vAXZVnZrB3r1h575138NlnaVZWpApWVn/f\npJDxKrCUKN8AKnb7UUolzxH45BOtwyYnlZWrjxzB/v2lrZU1ZO0nz7MjfW5OBIuzZ0VOyGBhCCaE\nVBrW/sYGgFHAC9QCfVw1zm7kmSFzcxmPCYXQ3S3KTU04fLjktbKeoaEhqfBygfuGLyxgzx6RDbrd\nuHsXXi/AFfZJxcKnwRrQA0jjy/3AJYYM+3jlFVGYmMg4xSASwdGj4l/r6nDunEF1q0iLi9i1C5EI\nADidSkLOYFF6TAgpL+X2tUyK30vAhUT5GKCM9CA7UC80KgWeJLEY9u0T/+T1Vva2wqkcCfI9LS0t\n+T9dKIQ9e8TUGpcLN28q6/oQWVVSyJgC5K1L2wGMjxtdITKFvExoJKKsNZ1kclLMLHC7ceMG3G6D\n6ma24jeLqIOF04nbt5VgTaXHhJDypXEtsGS6mHTxOgvI3UP//qMfiWsQ2UFdneihisXSdxLGYsrU\nkeFh++wzkWnJuOeeey7PZwyFsH07wmEAcLlw+7Z9lmmlZOUfMuSE4D9//OPny20uPeXD51Ou/5lG\nlLS2YnYWfj9GR+G3y7oEWdcXRa4Z49oadu1CKCRu3ryJ3bvzrBzlhQkhFSC1B9/affrqNRJjwP/7\n/PPSEJC/+qd/inV2mlgxMpo8ITDtBlNSR9bwMPr6mMBI8pkNkhTgb9zgh2l35RwyosD5v/mbKADg\nS//2b8PABh2/ianstbWJwscfZzymthaPH6OQkRQ2F4lg504sJebqDg7ywzQeE0IqmDy228JxXU3e\naep//M//2fcl8RVwjo8rK4hQxZMnxWksJt7ejhMnjKlOBUoK8P39DPAklG3I+OAf/uFU4s5moBWA\nvq4SKmPf/a4oaO9UZKdpBXrk0D0YiWDvXqUD9sQJdHWVqFakgQkh2Vd9ff1/nDo19f+3d/+xTeV3\nvv9f7nq2ruq5cnVTfT2q9zZzm7nNaDLazPeCFHSDNtFNtIkK3xKV6Ata0CYqaEGFb0EzaEEFMQh6\noYIRVLCCCqqwggr0hVVYhSpZJatkFfYmV7AivU1F9k568dy6t66a1fjuWBrvd6zr7x/n2HEc+/jY\n8e/zfAjNHNvHx58cH5/3eX/O50fy4Wf79q3ezUBjS/VMePaM1sKGUg4ZZ3TCTA/w7723gaIBteKS\nNJNcviz5k8vkhA2rs9NM9iIRrhAMJT7ad+/WVPJCbGiIUXmqxcVgWXC4vvb2uz/7mTH9dqyjwzM3\nV+UCoTJef301unMatBfj7caLvXtX77fv2aOREarPUe9SP5Bm6Xly8okpqTe5AldTDWvz5tXqLb7l\n0gaLwUE9fGguEyyqijuEcLobjx6d+/znjWXP/LzOnatueVAh6cOXuVyigr9UDh9ezQa3bdPNmwR4\nNJKgdDi53CM5cUYapyFYrFWyuo8TJ1azwb4+gkV1cYcQ0K1bt/z79xsDWv3vz33uc//lvzAyfoPL\nFdGdfT60rve1FSwuXdKxY+byzp26c0cbnNEeqAHrfxr3JGOwkbi0WVrgDmGjIlhkU4Jgce3a6vyN\nnZ2anCRYVBcJISBJe7Ztu/DTnxrDS/9//+bf/P4vfuGc2YScyCKYOfiUuNEYf+WKjh0zA3xXl8bH\nCfBoGBm/Dp/0ItmH8Jm0VfrUwaeORkawyGajweLuXQ0Pm8GipUWzs+ZcUKgemowCknTj/v0D//pf\nG8u//z/+h06cqG55UEaOb/BTFjdurGaD7e0aHSUbRAOLSHslY9DJTdLFKhcH5UGwSONKs6ENPXyo\ngwfNYBEIaHKSbLAWkBACkuT1eo/cv38r9fjaNT16VMXyoGocfAVw586drM+nz8aW3f37Onx4NRuc\nnJTPV4YCAlWz/icwJV1LLh+SNDNT0QKh6hwcLHLJHyzm57V3r6JRSfL5ND6u5uaKFA15kBACpp6e\nnuXvfGc5+TA+PKxwuJoFAiooFot9//vfN5b37NmTSJP/zR98YGaDPp/u3VNTUzlLCtSKE9Jicjn8\nwx9WsyhAOeW9K2grWDx5ov5+xWKS5PVqfFxtbSUqIDaKhBBY9f6lSyeam2OSJHckMvHaa69QBdhg\n+EJzuH379tLSkiS32/3d7363sDePjam1VT6fJifV2lqW8gHVtv56NyYNS2Fpr9Tz4kU0GmWe+sbB\n91gIW4d9U5PZeMTj0YMHa4ZvRbUxqAywxtLS0l+8+ebV5MOD0o20V/m9NIK8cct533I0Gn3nnXeW\nl5clHThw4Pr16wVvIhJRKER1L5xmaWnp7TffjOd4lZBR3wgWSSWbezAUUm+vzp/Xjh0lKBZKh4QQ\nyORyuZ5KxrwTQelNKZb2Kj+Zumcd2Bz5/Z47d+7UqVOS3G73ixcvWlpaql0ioG6UYAh+1CaChSSb\nd//sH+rxOPMN1iCajAJrGCe+YSkqPZa2rs0G0QgcE8VtikQiP/rRj4zlI0eOkA0CgESwMJW4UoNs\nsCbxrQBZLErvSMvZXnK5uK9e/xKJ7FW/jvxmv//974dCIUkej6fg3oMALBEy6hvBwh4O8npHQghk\nlzUbROMwolcq0js1mIXD4Vu3zPlWvve97wUCgeqWB6gvDCHT+AgWUiKR4FBvbFRcAatK3FAeqHmp\nY97n8718+dLH/IFAIUo22AZQ2ywOdY7wBsAdQmAVdWBwjoxD/ezZs2SDQKGIGmh4pIJOwB1CYA07\ns69WpiRAmRQZ3Wdm1NVVjvIAdS3vKKN0I0SdIhV0DkYZBdbgHAcnyxn+339f3d06d66yxQHqW6v0\nJZdLEhPWo8HkPJ4fPlSyXzrqCAkhkMkiJ+zp6YnHc01BDNSBYq5Kr13TmTOSdOqUbt8udYmA+pYr\nZOyS5qTLac+QE6KOFHO4zs9r/37t30/tYd0hIQSySCQS6TF+enra7XZLmpqaOsdpDo5y966OHjWX\n29u1c2dVSwPUooyQIWlIuif5pCFpT9rz5IRoWMvL6u9XJCJJH3ygcLjaBUIBaNcO2HLixIkLFy4Y\ny0+fPt3U0iJG4EC9KXhExKkp9ffLuCve3q7JSTU1la10QINwuVxu6bnUJkmKSG9KqatjrrtQ+woO\nFsGgtmwxk0CPR9PT6ugoW+lQeiSEgC2xWGzz5s2Li4s+6S//1b/a1tb2ub//+2oXCihYAcMmLSyo\nu9us7m1u1tyc/P4ylw5oBMavrFV6KnklSQ+lwbQVuPRC7SsgWITD2rpVy8uS5PFofJwRyOoOTUYB\nWzwez8jIyNd+7/c+lP6vf/7nz/3n/6z33692oYCyWVpSb6+ZDfp8GhsjGwTsSF1GL0knkk/ulA5U\nq0BA4Qpo2xyJaGDAzAYljYyQDdYjEkLArk2bNu05eXIx+TBx7pyePatmgYDC9fX1Wbxq1vgGg+rv\n18qKJPl8mpxUW1tFSgfUvfS7f9ekx8nli1JLVQoEFMLmiLjmcR6Pa2BA8/PmsxcvateucpYO5UKT\nUaAA8Xh8W3v73V/8wuhH9b//7b/93M9+Jq+3ysUC7Hn06NHAwIDFColEQisr2rpVS0uS5HZrbEyW\nOSSADOnX003SC8kIGc+krdKnXHehJhU04lEikTCzwcfJSo/z53X8eFlKhvLjDiFQALfbfen+/f/n\nlVeMh5/77/99dQBGoLbFYrETJ8wmbDt37kyvDUwkKRJRf7+ZDUq6eZNsEChU+o9rRRpOLm+SLlal\nQECJrAYLSQcPrmaDBw6QDdY1EkKgMG1tbf/nf/pPd1OPb93SxAQjiaP2nTlzZmlpSZLX6718+bIy\nQrukaFS9vasNoS9e1NBQVYoK1Lv0nPCxdC25fEjSs2eEDNQa62MyM1hIOnx4dQL6vj5dvVrO0qHs\naDIKFCwej//Rv//3P/mv/7VZkhSW3pQikhg7DrVqcXFx8+bNsVhM0unTp99fPyRSPK7t2zUxYT68\nfFlHjlS0iEAjMq6zvdJTqVWStChtkaKSCBmoGQWMKSrp3DmdOmUu9/RobEweT9mKhkrgDiFQMLfb\n/Zd/9VfDUlyS5JeuS25JTDqMmhSPx/fv329kg21tbcezNuzZv381GzxyhGwQKAnjvsq2Xbt2J0NG\nm3Q5+SohA7WgsOPwypXVbLC9XQ8ekA02AO4QAkVyuVxnpZPJh8PS7eQyPyvUlCtXrhxNdnadnJzs\n6enJXOPwYV1LNmrbs0cjI3K7K1hAoMHFYrEvfOEL70unk88MSg+Ty4QMVJ3dO4R372p4WPG4JAUC\nmp1Vc3PZC4fyIyEEimGcOt3SnLRJkhSV3pRCkojuqCUrKytvvPFGJBKRNDQ0NDIykrlGeuOfbds0\nOko2CJRW6mp7WuqSJIWld6SwJEIGakDePoSSNDGhgQHFYhLZYKMhIQSKkTp1tkjPJWPeiRmpX4pJ\nIsCj2oxDNJFIDA8P3759W5LP5/vwww+bmprWrHfjhg4eNJfb2zU7yzQqQMmlh4ynkk+SNCH1J1cg\nZKBaUsHCIidMJBKan1dvr6JRSfJ6NT2tTZsqVkiUG30IgQ1Zlk4kl7uk71WxKHA8V5rUM0Y2KOm7\n3/1uZjYoqa9Pfr8ktbdrcpJsECirZSlZAaM+aU81ywJHWx8s8rxheNjMBj0ePXhANthguEMIFGz9\neXNU2iFJiktbpGdU96IarCP6p59+6sna9X9pSQcP6t49MzMEUFLrf5gPpJ2SpIj0thQiZKDibA4k\ns3pkBoPq7VUwqNFRbdtWxpKhGkgIgWJknEmbpJ9LxtX0orRV+phfFirOVicQABWX8dv0Ss+lFknS\nfWk3P09UVpHBIhzWzIx27SpLmVBVNBmF45Vi1O8VaThtSPGPDxzY+DaB0mKAe2BDSvcLikoHpbh0\nWzqcr/sWUGE5j0a/n2ywUXGHEA6Wccor8Lew/ox5XVpNBMfH1ddXbMmAgtm5oOSED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DkRACAAAAgEOREAIAAACAQ5EQAgAAAIBDkRACAAAAgEOREAIAAACAQ5EQ\nAgAAAIBDkRACAAAAgEOREAIAAACAQ5EQAgAAAIBDkRACAAAAgEOREAIAAACAQ5EQAgAAAIBDkRAC\nAAAAgEP9/yeOzHh2XqdAAAAAAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Under some restriction on the kernel $h$, one can show that\n", "these discrete curves converges (e.g. in Hausdorff distance) toward a\n", "smooth limit curve $f^\\star : [0,1] \\rightarrow \\CC$.\n", "\n", "\n", "We do not details here sufficient condition to ensure convergence and\n", "smoothness of the limitting curve. The interested reader can have a look\n", "at [DynLevin02](#biblio) for a review of theoritical guarantees for\n", "subdivision.\n", "\n", "\n", "The limit curve $f^\\star$ is a weighted average of the initial\n", "points $f_0 = (f_{0,i})_{i=0}^{N_0-1} \\in \\CC^{N_0}$ using a continuous\n", "scaling function $\\phi : [0,1] \\rightarrow \\RR$\n", "$$f^\\star(t) = \\sum_{i=0}^{N_0-1} f_{0,i} \\phi(t-i/N_0).$$\n", "The continuous kernel $\\phi$ is a low-pass function which as a compact\n", "support of width $K/N_0$. The control point $f_{0,i}$ thus only\n", "influences the final curve $f^\\star$ around $t=i/N_0$.\n", "\n", "\n", "The scaling function $\\phi$ can be computed as the limit of the sub-division\n", "process $f_j$ when starting from $f_0 = \\delta = [1,0,\\ldots,0]$,\n", "which is the Dirac vector."], "metadata": {}, "cell_type": "markdown"}, {"source": ["__Exercise 2__\n", "\n", "Compute the scaling function $\\phi$\n", "associated to the subdivision."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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7adUsa7liNIpuvMolIjWHhxg+AQCmRSEEAKhnDD8wTrWpzmIi2faU/MxUPRhq\n7B5VnQUAoAafuwAA9d455heRtcUsD0abMXxi158HVQcBAKhBIQQAqFfbMSwiK3NtqoOYzsYrnSKy\nu5VCCAAmRSEEACjmHT/V4BnVLEnGkTZEU/Vyp1WztHsne0amVGcBAChAIQQAKGYcYCtzL3Skaaqz\nmI5Vs1Tk2WT6GCcAwGwohAAAxX7/7gkR2VSWpTqISX3uGreIvHqIQggAZkQhBAAo1uAZkenDbIi+\nqsIMEWnwjOjBkOosAIBooxACAFTqGgq0DkxolqSKPEbSq1FZkOFKX9A1FGju9avOAgCINgohAECl\nmrYhPRiqXu50pS9QncWkrJplfckimV6qBQCYCoUQAKDSXs+oiFQWsDyo0prCDOEYIQCYEoUQAKDS\nCy0nhAOEqhkDP2o7hjlGCABmQyEEACjT7p30jp+ypSZXFWaqzmJqZe6FrvQF/qnTHCMEALOhEAIA\nlDGWB9cWOzRLkuosZmeM/XjpoFd1EABAVFEIAQDKGAcIb1jBBEL1ritxiMjeo6OqgwAAoopCCABQ\nI6AHazuGRaSyIEN1Fsj6kkWaJanm8JBvUledBQAQPRRCAIAajd2j3vFTRU4rV4zGglJXWqkrTQ+G\nGrtZJAQAE6EQAgDUaOweE5HK/AwOEMYI42qfN9qGVQcBAEQPhRAAoMZzzcdFZGMZAydixeeuWSzc\nKwMAJkMhBAAooAdDxoQD43JLxAJjhbB1YIJjhABgHhRCAIACte3DAT2Yn5man5mqOgve50pfUFlg\n14Oh3a2DqrMAAKKEQggAUODFA14RueUji1UHwYesL1kkInuO+FQHAQBECYUQAKBAzeEhEbl6Sbrq\nIPiQlbk2EWGFEADMg0IIAIi2du9ku3dSOEAYe24pX6xZkrqGAq0DE6qzAACigUIIAIi2msNDejBU\n5l5Y5LSqzoIPsaUml+ekC3eNAoBpUAgBANG29+ioiKwtdqgOglnceJVLRJp6xlQHAQBEA4UQABBt\ndZ0+YQJhrPpkUaaI1BweCuhB1VkAABFHIQQARFVL/7hxgJAVwti0ttjhSNO846eMQZEAgMRGIQQA\nRFXdEZ+IVBVmZNtTVGfBLGypyZUFGTK9kAsASGwUQgBAVL3RNiwsD8Y2Y9dofeeI6iAAgIijEAIA\nokcPhozrKzdeyQHC2HXrSreI7G4d5BghACQ8TXUAcxkdHd29e3dvb29JSUllZWVubu6Fv37fvn1e\n78yLv9PS0j71qU9FLCMARFDrwERAD1o1y/rSRaqz4LzKs9Ntqcn+qdPNvf6qwgzVcQAAEUQhjJ76\n+vqHHnpobOyDi7zvu+++hx9++AJP+e53v3vw4MEZD+bm5v7hD3+ISEQAiDBjlGjwDgAAIABJREFU\neXDtFQ7NkqQ6Cy7kxqtcO/Yf3906SCEEgMRGIYySvr6+Bx98MBAIfO1rX9uwYcOxY8d++tOfPv30\n05mZmffee+/5nuXxeK6++urPfvazZz9os9kinxcAIuLV1iFhv2g8uO4Kx479x189NPjtjcWqswAA\nIohCGCXbt2+fnJz88pe/fP/994tIaWlpWVnZZz7zmSeffPLOO+9MTU099yler3d8fPxTn/rUPffc\nE/W8ABB+ejDU4BkRbpSJB9XLnZolqbnXb2zxVR0HABAp/Cc+Svbu3Ssit91225lH3G73tdde6/f7\n33zzzVmfcvToUREpLuZXswASREvfeEAPZttTKgvsqrPgIkpdaUVOa0AP1rYPq84CAIggCmE0hEKh\no0ePFhcX5+TknP34qlWrROTcU4IGj8cjIsXFxW1tbbt27Xr99dd7enqikBYAIuS55uMiUlWYyQHC\nuFBVmCkiu/48qDoIACCC2DIaDX19fYFAYPHixTMed7lcIjI0NDTrs4wVwn/6p39qbW098+DNN9/8\njW98w+FgtxWA+NPgGRUOEMaPLRXuf2vqb+weVR0EABBBFMJo6OzsFJFzW5zdbpfzF0JjhXB0dPSR\nRx5ZsWJFb2/v9u3bX3zxxb6+vl/+8pcWy+yru11dXSLS1NS0bdu2Wb9g1apVmzdvvsR/EgC4VP6p\n08YBwk1lWaqzYE4qCzJEpLnX75vUHWn8wAAg4n7729/u27dv1j9qamqS6R90EV789z0apqamRETT\nZr7bxuNpaWmzPquystLpdN53331ut9t45Kabbrr55pv/9Kc/7dq1a8bVo2cMDg6KiMfjMfrkrCiE\nAKKvpm0ooAfzM1OLnFbVWTAnxmnPxu6x3a2Dt390ieo4ABLfvn37nn/++Qt8gfGDLsKLQhgNxtbQ\n0dGZu258Pp+IOJ2z757667/+6xmPpKWl3XHHHd/73veam5vPVwizsrI8Hk9hYeHq1atn/QLj4CIA\nRNmeDp+I3PKRmZvnEcuqlzkbu8f2HPFRCAFEwQV+TG1qavJ4PFlZ7DEJPwphNBinB8+9Esb4JUdu\nbu7c/yrj/w3O7ZZnFBUV7du3b/Xq1Y8++uilZAWAyDD2i25Ytkh1EMzDdSWO7/+Xh4tGAUTH5s2b\nz7eRbdu2bR6Pp6ioKLqJTIFbRqMhJydn6dKlXV1dAwMDZz++Z88eEVm3bt25T2lra/vbv/3bn/zk\nJzMer62tFZGSkpJIZQWACAjoweZev0xfXIl4YVwJ2zow0TUUUJ0FABARFMIouemmm0TkBz/4wZlH\n9u/f39zcvGLFijO/6piYmHjnnXcOHDggIvn5+W+99db27dvP7pCjo6NvvPFGcnJydXV1VNMDwOWp\nbR8O6MFSV1q2PUV1FsyDI00rcy8UkcYe7hoFgMTEltEoufPOO1955ZWXXnopGAxef/31R48efeaZ\nZ2w222OPPXbmaw4fPrxlyxaXy1VfX5+WlrZ169af/exnmzdvvuuuu0pKSnp6en7xi1+Mj49/8Ytf\nLC0tVfjPAgDzZQycYHkwHlUVZrb0j+/p8N16jVt1FgBA+FEIo8ThcDz77LNbt259+eWXX375ZRHJ\ny8v71re+VVxcfL6nfPWrX9U07Re/+MWZdcWUlJR/+Id/uOeee6IUGgDC5I22YRFZszRDdRDM25rC\njGf2HuMYIQAkKgph9Ljd7p07d/b19b377rvLly8/twpWVFQcOnTozP9MSkr6yle+cs8997S2tg4N\nDRUVFRUVFaWksNsKQJwJ6EHjRpnq5Yykjz+byrI0S1JL/zjTCAEgIfFf9mjLycnJycmZ+9fbbLbK\nysrI5QGASGvu9evBkC01udQ1+9hVxDJjdGS7d7K2Y/iWcqaGAECi4VIZAEBk7fqzV0Q2XZmlWZJU\nZ8GlqCzIkOl9vwCABEMhBABEVs3hIRH5ZDE3ysSr665wiAjHCAEgIVEIAQARpAdDTCCMd8a/u5b+\n8YAeVJ0FABBmFEIAQAQZEwitmqUiz6Y6Cy5ReU66LTVZRBq7mUYIAImGQggAiKA9R3wiUlWYadX4\nxIlXmiVpbbGxa9SnOgsAIMz4eAYARFBj95iIVBUygTC+VRbYhXtlACARUQgBAJES0IPGTSQby5hA\nGN9uWOESkQbPiG9SV50FABBOFEIAQKS0eyeNA4TcKBPvKvJsVs0S0IMNnhHVWQAA4UQhBABEirE8\nuPYKBwcI451Vs6wvXSQiLf3jqrMAAMKJT2gAQKQ09YyJSGW+XXUQhMEnizJF5NVDQ6qDAADCiUII\nAIgUY3vh1dnpqoMgDIybgeqO+JhGCACJhEIIAIiIrqFA68CEiBhbDRHvjK2/AT3INEIASCQUQgBA\nRLT0+0WkPDs9PzNVdRaEgVWzVOTZZHqUCAAgMVAIAQARUd85IiwPJpb1JYuEaYQAkFgohACAiGg+\n5heRNUsZSZ84VhfYRaR1gItGASBxUAgBAOHnnzpdc3hIRNYWO1RnQdiUZ9tEpN076R0/pToLACA8\nKIQAgPBrPjamB0OlrrQip1V1FoRNmXuhLTVZRJp7OUYIAAmCQggACL+6zhERqchlAmGiKc9Ol+n9\nwACABEAhBACEn3HvyA1XZakOgjCrLMgQkXcohACQKCiEAIDwM7YUGuUBiWRlrk3YMgoACYRCCAAI\ns8buMe/4KVf6gjL3QtVZEGbGNuDWgYmAHlSdBQAQBhRCAECYNXhGRGR9ySLNkqQ6C8KsPCddsyTp\nwVBzL7tGASARUAgBAGG29+ioTM+sQ4KxahZj4beln0IIAImAQggACLPdrYMiUr3MqToIIqIizy7c\nKwMAiYJCCAAIJ2NquS01uSLPpjoLIuLKxQtFpH/0pOogAIAwoBACAMKprtMnIuXZ6RwgTFTZGSnC\nllEASBQUQgBAOBkTCG8uX6w6CCKlqjBTRFoHJvxTp1VnAQBcLgohACCc3p9AmM+NMgmrzL3QqllE\npKV/XHUWAMDlohACAMKmayjQOjBh1SzGvSNISJolqTwnXUQau0dVZwEAXC4KIQAgbBp7RvVgqLIg\nw5W+QHUWRJAxnp6LRgEgAVAIAQBhU985IiLcL5rwVubaRKT52JjqIACAy0UhBACETc3hIRHZeCUT\nCBOc0flb+sb1YEh1FgDAZaEQAgDCwz91unVgQqZvoUQCq8i1a5akgB40/o0DAOIXhRAAEB61HcN6\nMFTqSuMAYcKzpSYXOa0yfaksACB+UQgBAOGxp8MnIpvKslQHQTRUFmSIyN6jXDQKAPGNQggACI+a\ntiGZvm4ECW/DskUisrt1UHUQAMBloRACAMKgf+xkS9+4iKwvWaQ6C6LBWApu9072jEypzgIAuHQU\nQgBAGNS2D+vBULY9xThahoSXn5mabU+R6atlAQBxikIIAAiDN9qGRWRTWZZmSVKdBVFiLBIaZ0cB\nAHGKQggACIMGz4iIrFmaoToIosf4113XSSEEgDhGIQQAXC7fpG7MoyvPSVedBdGz9gqHiLR7J/vH\nTqrOAgC4RBRCAMDlquv06cGQI01jJL2plGenO9I0YZEQAOIZhRAAcLnqO0dEZG2xgwOEZnPjVS6Z\n/gYAAMQjCiEA4HLVdY6IyOp8u+ogiDZjGiErhAAQvyiEAIDLEtCDjd2jIlJZQCE0HWOTcHOvP6AH\nVWcBAFwKCiEA4LI0do8G9KBmSape7lSdBdFW5l7oSl+gB0PGNbMAgLhDIQQAXJYGz6iIlLkXWjU+\nU8xobbFDROqOUAgBIC7x4Q0AuCx7PaMi8rlr3KqDQI01hRkiUt9FIQSAuEQhBABcltqOYWECoYlV\nFWaISINnRA+GVGcBAMwbhRAAcOlaBya846c0S5KxbxAmVJmfoVmSfJN6S9+46iwAgHmjEAIALp1x\nlUhFni3bnqI6C9SwpSZX5Nlk+psBABBfKIQAgEu3p8MnIpUFGaqDQKUtFUtEZO/RUdVBAADzRiEE\nAFw6YyL5DSuyVAeBSsaGYeM0KQAgvlAIAQCXqH/sZNdQQFghNL2KPJtVs3QNBXpGplRnAQDMD4UQ\nAHCJGrtH9WCo1JXGAUKTs2oW4xhh3RGf6iwAgPmhEAIALpFxgHBTGftF8f6uUaYRAkDcoRACAC7R\n7tZBEdmwbJHqIFBv45VOmf6WAADEEQohAOBSeMdPtQ5MCAcIISIi5Tk2EWn3TvaPnVSdBQAwDxRC\nAMClaOn3GwcI8zNTVWeBetn2lPLsdBFpHWA8PQDEEwohAOBSvNE2LCLrS9gvivetL10kIrsOsmsU\nAOIJhRAAcClq230isjLXpjoIYoXxzVDTNqQ6CABgHiiEAIB5803qDZ4REale7lSdBbGieplTRJp7\n/d7xU6qzAADmikIIAJi35mNjejCUbU8pcy9UnQWxoshpNb4fajuGVWcBAMwVhRAAMG8NnlGZvlgS\nOKM82yYiLX3cKwMAcYNCCACYt1dbh0TkhhWMpMeHbCxzisirh7hXBgDiBoUQADA//qnTxgFCrhjF\nDGuLHSLS2D3mm9RVZwEAzAmFEAAwPw2ekYAetGqWsiUcIMSHFDmtjjRND4Y4RggA8YJCCACYH+MA\n4dorHFaNDxF8iFWzGOvGTT1jqrMAAOaEz3IAwPzsPToqIp8sylQdBLFoTWGGTP/WAAAQ+yiEAIB5\nCOjBuk6fiFQVZqjOglhkfGPUHfEF9KDqLACAi6MQAgDmoaVv3DepWzXL+lJulMEs1hY7HGlaQA82\n9/pVZwEAXByFEAAwD8byYHlOOgcIMSvNkmRMI+ReGQCIC3ycAwDmwbgspHqZU3UQxK6NVzpFpL5z\nRHUQAMDFUQgBAPNgTCBcmWtTHQSxa32pQ0TqOn16MKQ6CwDgIiiEAIC58o6favdOikj1clYIcV4V\nuXbNkuSb1PvHTqrOAgC4CAohAGCuag4PiUh5drorfYHqLIhdttTkijybTH/DAABiGYUQADBX7xzz\ni8jaKxyqgyDWrS12iMiB/nHVQQAAF0EhBADMVfMxv4iszrerDoJY98niTBGpaWOFEABiHYUQADAn\nAT1Y2z4sIutLmECIi6he5tQsSc29fv/UadVZAAAXQiEEAMxJS994QA/mZ6aWutJUZ0Gsc6RpRU6r\niLSwaxQAYhuFEAAwJ8bAifIcBk5gToxjhC+2nFAdBABwIRRCAMCc7OnwiciGZewXxZwYxwiNc6cA\ngJhFIQQAzEnzsTGZXvYBLqoi1y4izb1jjKcHgFhGIQQAXFzXUKBrKCAi5dnpqrMgPlTk2bLtKf1j\nJ5t7WSQEgNhFIQQAXFxdp08PhirybLbUZNVZEB80S1JlQYZMry0DAGIThRAAcHHGhPHqZU7VQRBP\njPXk+s4R1UEAAOdFIQQAXJwxYXxlLleMYh5uLl8sInWdPtVBAADnRSEEAFyEf+q0cQyszM0BQsxD\neXa6Zklq904ynh4AYhaFMKpGR0d/85vfPPbYY//5n/957NixeT13cnLyO9/5zvbt2yOUDQDOp6V/\nXA+Gsu0pFXmsEGIebKnJZe6FMr3CDACIQZrqACZSX1//0EMPjY19cLb+vvvue/jhh+f49O9///s7\nduz4+Mc/vnXr1sgEBIDZ7W4dFJHKggzNkqQ6C+LMprKslv7x+s6RW8oXq84CAJgFhTBK+vr6Hnzw\nwUAg8LWvfW3Dhg3Hjh376U9/+vTTT2dmZt57770Xffrrr7++Y8eOKOQEgHM19YyJyOp8u+ogiD/G\nudOW/nHVQQAAs2PLaJRs3759cnLygQceuP/++0tLS9etW/fEE0/Y7fYnn3xyamrqws/t7+//x3/8\nx/Ly8uhEBYAZGrtHRWRTWZbqIIg/VYWZmiWp5vAQxwgBIDZRCKNk7969InLbbbedecTtdl977bV+\nv//NN9+8wBODweDf//3fL1iw4Dvf+U7EUwLAOVr6x/vHTgoj6XFJSl1p2fYUPRhikRAAYhOFMBpC\nodDRo0eLi4tzcnLOfnzVqlUicvDgwQs89+mnn/7Tn/70L//yL1lZ/G4egALNvWMiUuZeyEh6XJqK\nPLtMrzMDAGINhTAa+vr6AoHA4sUzz9O7XC4RGRo6791rzc3NP/7xj7/whS9cd911kY0IAOexp8Mn\nItXLGUmPS7Rh2SIRefUQF40CQCziUplo6OzsFBGHwzHjcbvdLucvhH6//5FHHikqKvr6178+99fq\n6uoSkaampm3bts36BatWrdq8efPc/0IAJlfbMSwia5ZmqA6CeLW22CHTS80AcAG//e1v9+3bN+sf\nNTU1yfQPuggvCmE0GNfGaNrMd9t4PC0tbdZnffvb3+7v7//Nb35jtVrn/lqDg4Mi4vF4PB7P+b6G\nQghgjvxTp7uGAjK96w+4BGXuhZolqWdkqmsoUOScxycaALPZt2/f888/f4EvMH7QRXhRCKPB2Bo6\nOjrz+ITP5xMRp3OWjVivv/76zp07P//5z1ut1iNHjoiI1+sVkUAgcOTIkeTk5MLCwllfKysry+Px\nFBYWrl69etYvMA4uAsBc1HYM68FQkdNqjBcHLoEtNbl6uXN362Bdp6/Ima06DoDYdYEfU5uamjwe\nD3dqRAKFMBqM04M9PT0zHjd+yZGbm3vuU4xdpr/+9a9//etfn/34u+++++lPf9rtdv/xj3+c9bWK\nior27du3evXqRx99NCzhAZiZcYCwPNvGSHpcjopc2+7Wwb1HR+9YTSEEcF6bN28+30a2bdu2eTye\noqKi6CYyBQphNOTk5CxdurSrq2tgYMDtdp95fM+ePSKybt26c5/yiU98IjU19exHxsfHH3/88cLC\nwi984QsLF/KregDR0DowIQycwGW7OjtdRHa3stcLAGIOhTBKbrrppp/85Cc/+MEPfvSjHxmP7N+/\nv7m5ecWKFWd+1TExMdHW1qZp2tVXX11eXj5jEv3Q0NDjjz++ZMmSu+66K8rhAZhWXadPRFbm2lQH\nQXxbX7pIRNq9kwE9aNW44RwAYgiFMEruvPPOV1555aWXXgoGg9dff/3Ro0efeeYZm8322GOPnfma\nw4cPb9myxeVy1dfXK4wKAIaekSnfpC7TP80Dlyw/M9WWmuyfOt3gGVlfwrcTAMQQfksXJQ6H49ln\nn12+fPnLL7/8yCOP/PjHP160aNG//uu/FhcXq44GALOrO+ITkWx7SrY9RXUWxL3K/AwRqW33qQ4C\nAPgQVgijx+1279y5s6+v7913312+fPm5VbCiouLQoUPne7rT6bzAnwJA2DX1jIlIZQETCBEGVYUZ\ntR3De4/OvHAbAKAWhTDacnJycnJyVKcAgIszJhAyOA5hsaYwQ0QaPCN6MMSltQAQO9gyCgCYXWPP\nqHCjDMKkepnTqll8k3q7d1J1FgDAByiEAIBZ9I+dNFYIK3LtqrMgEdhSkyvybCLS4BlRnQUA8AEK\nIQBgFu3eCTnrh3jg8q0tdogIxwgBIKZQCAEAs2jpGxeR8ux0jnshXIztx8bttQCAGEEhBADMwljG\nyc/kRhmETVVhpoi0Dkz4p06rzgIAeB+FEAAwC+Ogl3EzJBAWpa40V/oCPRiq62SREABiBYUQADCL\n/rGTIlJFIURY3brSLSIvHvCqDgIAeB+FEAAwU+vAhG9S1yxJTKVHeK1ZmiEcIwSAWEIhBADMZOwX\nzbanWDU+JhBOHCMEgFjDJz0AYCbjRpnyHAZOIMzK3AuNY4SNPQyfAICYQCEEAMzUP3pSRCoLGEmP\n8KvIs4tIg4dCCAAxgUIIAJjJ2DK6Op9CiPCrzLeLSH3niOogAAARCiEAYIauocD0FaOZqrMgAW0s\nc4pIYzcrhAAQEyiEAIAPafdOiIhVs2TbU1RnQQJaW+ywpSb3j53sGgqozgIAoBACAD6spX9cRCry\nuFEGEaFZkirzM2R6ZzIAQC0KIQDgQ5p6xkSECYSInKrCDBHZwzRCAIgBFEIAwIcYh7tW5rJCiEi5\nrsQhrBACQGygEAIAPuCb1FsHJkRkfcki1VmQsKoKMzVLUkvfuG9SV50FAMyOQggA+ICxaONKX1Dk\ntKrOgoTlSNPK3Av1YKil3686CwCYHYUQAPABY1y4sYCjOgsSmTHUpObwsOogAGB2FEIAwAfqu0ZE\n5JPFTCBEZK0pzBCRd46xQggAilEIAQAfaO4dk+lLIIHIqV7mFJGatiE9GFKdBQBMjUIIAHhf68CE\nd/yUZkkytvMBkVPktDrSNP/U6Za+cdVZAMDUKIQAgPfVdfpEpCLPZtX4dEDErS1m+AQAqMdHPgDg\nfcaBLuPHdCDSjKOqTT1jqoMAgKlRCAEA7zNWCNcs5QAhoqEy3y7T33UAAFUohAAAEZEzp7k4QIjo\nWHuFw6pZWgcmGE8PAApRCAEAIiINnhE9GCpyWhlJj+iwapbynHRhkRAAlKIQAgBERBp7jIETLA8i\neowDq829TCMEAGUohAAAEZFXW4dEZMOyRaqDwERW5tpEpL6Li0YBQBkKIQBA9GDIuP2/Mp8bZRA9\nxop0bftwQA+qzgIAJkUhBABIc68/oAcdaZpxpguIjjL3Qlf6goAerDvCMUIAUINCCAB4/1aPqsJM\nzZKkOgvMZX3JIhFp8IyqDgIAJkUhBADIoRMTIvLJIm6UQbStKcwQkb1HKYQAoAaFEAAgxgHCtVdQ\nCBFtVYUZIlLbMawHQ6qzAIAZUQgBwOx8k3pL37hmSeJGGURfZUGGVbP4p063DkyozgIAZkQhBACz\nq+v06cFQeU66LTVZdRaYjlWzVOTZRKS5d0x1FgAwIwohAJhdfeeITI8IB6LP+N575xjj6QFAAQoh\nAJhd8zG/TI8IB6Jvw7JFIlLTNqQ6CACYEYUQAEwtoAdr24dl+vZ/IPoq8uyaJam51++fOq06CwCY\nDoUQAEytpW88oAfzM1NLXWmqs8Cksu0pRU6riLT0j6vOAgCmQyEEAFMzBk6U57BfFCpVFmSIyIst\nJ1QHAQDToRACgKnt6fDJ9CEuQJXrrnDI9HFWAEA0UQgBwNSaj40JV4xCtarCTBFp7h1jPD0ARBmF\nEADMq2so0DUU0CxJ5dnpqrPA1Mpz0q2apX/sZHMvi4QAEFUUQgAwL2Mk/dpiByPpoZZmSTKOERpL\n1gCAqKEQAoB5HegfF5HKArvqIICsLc4UkfrOEdVBAMBcKIQAYF7GKPA1hRmqgwCyMtcmInWdPtVB\nAMBcKIQAYFL+qdPGeS1G0iMWrC9dpFmS2r2TjKcHgGiiEAKASbX0j+vBUH5mqit9geosgGTbU8rc\nC2V64RoAEB0UQgAwqd2tgyKyvpTlQcQKY/gExwgBIJoohABgUk09YyJyXQkTCBErjGOELf3jqoMA\ngIlQCAHApBq7R0WkPNumOgjwvk1lWSJSc3iIY4QAEDUUQgAwo5b+8f6xk440jZkTiB2lrrT8zFQ9\nGGKREACihkIIAGbU3DsmIlWFmZolSXUW4APlOTaZXr4GAEQBhRAAzGhPh09EKnLZL4rYsmZphoi8\neoiLRgEgSiiEAGBGtR3DIrKxzKk6CPAhxjFCYwUbABAFFEIAMB3/1OmuoYCIVOZnqM4CfEhlgd2W\nmtwzMmV8iwIAIo1CCACmU9sxrAdD5dnpttRk1VmAD9EsScZ4+rpOn+osAGAKFEIAMJ032oaFkfSI\nVetLFolIfRfj6QEgGiiEAGA6u1sHZfr2DiDWrCnMEJGaw9wrAwDRQCEEAHPxjp9qHZgQkYo8JhAi\nFlXk2kWk3TvZMzKlOgsAJD4KIQCYi3E0Kz8z1TipBcSaUldakdMqIg0edo0CQMRRCAHAXPZ6RkVk\nfekiRtIjZlUvc4rI7989oToIACQ+CiEAmIsxgXAlI+kRw1bn20WksXtUdRAASHwUQgAwEf/U6eZe\nv4hUFXKjDGLX2iscItLunfSOn1KdBQASHIUQAEyk+dhYQA9m21OqCjNVZwHOqzw73ThGyDRCAIg0\nCiEAmEjN4WERqSzI4AAhYpzxO4tdBwdVBwGABEchBAAT2Xt0VJhAiHhgHCPkolEAiDQKIQCYiLEB\nb1NZluogwEUYF422Dkz4p06rzgIAiYxCCABm0dzr90+dtqUmV+RxxShiXUWezZW+QA+GatqGVGcB\ngERGIQQAszCWByty7RwgRFyoyLOLyBttw6qDAEAioxACgFnUd42IyIZli1QHAebE+F5lGiEARBSF\nEADMorZ9WESql1MIER+MY4TNvX49GFKdBQASFoUQAEyhZ2Sqf+ykiFTk2lVnAeakPCddsyQF9CDT\nCAEgciiEAGAKxvJgmXuhLTVZdRZgTqyaZW2xQzhGCACRRCEEAFMwJhDeutKtOggwDxvLnCLS4OEY\nIQBECoUQAEzB2HTHSHrEl8p8u4g0do9yjBAAIoRCCACJzzept/SNi0hlAYUQ8aSyIEOzJPkm9QbP\niOosAJCYKIQAkPiaj43pwVBlgT3bnqI6CzAPjjStqjBTRGrbuVcGACKCQggAie/V1iERMX6wBuLL\n2uJMEXnnmF91EABITBRCAEh8dZ0jwgFCxKers9NFpKWfQggAEUEhBIAEpwdDzcfGRKQijwmEiD9l\n7nQR6RoKBPSg6iwAkIAohACQ4Bq7x/xTp22pyWXuhaqzAPNW5l5ojKfnXhkAiAQKIQAkOGPgREWu\nXbMkqc4CzJstNdm4DMm4KRcAEF4UQgBIcPWdIyJSWcB+UcQrY7fzgeMUQgAIPwohACQ4Y4VwS8US\n1UGAS2Tch9TunVQdBMD/z979BzZZ3vv/fzcNtKUt/UnpL2hLS221YqF1gjLpF1Fx/sIJikeY+nWT\nKfO4o9txbHLcjsc5dQPdxpwCm266MUDFCVoVZ9EyQSkUqFigpQ1taQnp77RNaJp+/rilY6X8SpNc\nyZ3n4695k8Cr15rkfuW+r+uCDlEIAUDPKs3dlq5eoyEoPyVCdRbARVPTRotIRSMLjQKA+1EIAUDP\nSqpaRSQnYVSokTd8+CvtltGmzuNWe5/qLACgN0bVAQJLR0dHcXFxQ0OPGA1CAAAgAElEQVRDZmZm\nYWFhcnLyWZ9y8ODBPXv2VFdXx8XF5ebmXn755V7ICUA3tta2C1vSw8/Fh4+IDjO29ThKa9pm58Sp\njgMAukIh9J6tW7c+9NBDnZ2dA0fuu+++Rx555AxPWbZs2YsvvnjykYsvvnjlypUxMTGeSglAX3bU\ndYjIZWlsSQ//lpMwapupY0ddJ4UQANyLO4i8pLGxcfHixVar9eGHH960adPKlSvz8/NfeumlVatW\nne4pr7322osvvpiWlva73/3u/ffff/bZZ/Py8vbu3fvYY495MzkA/1Xfbq80d4vInLwxqrMAw5KX\nGCEsNAoAHsAVQi9ZvXp1T0/PAw88sGjRIhHJysrKycn5xje+8cILLyxcuDAkJOTUp2zevDkoKOhP\nf/pTYmKiiKSlpeXm5t5www2ffPJJX19fcHCwt38GAP5G28g7Kz4sPnyE6izAsFyQMEpEqizdqoMA\ngN5whdBLtm/fLiK33XbbwJGEhIRp06ZZrdaPP/741Mf39fWVl5dPmDBBa4OaiRMnpqWl9fX12e12\nL2QG4O8+PNgqIvnJ7EAIv5efHCEiFY1dNodTdRYA0BUKoTf09/cfPnw4IyMjKSnp5ONTpkwRkX37\n9p36FKfT+corr/zud787+WB9fX1dXd20adNGjRrl0cAA9EGbQFjAlvTwf4XjRhsNQTaHs76Nr0QB\nwJ24ZdQbGhsbbTbbmDGD5/DEx8eLSEtLy6lPGTFixKRJk7T/XVVVVV1dXVlZuX79+tDQ0HvuuecM\n/1Ztba2IlJWVLVmyZMgHTJkyZd68eef/QwDwM1Z7X3mDVUSKMlmGCn4vOsyYGDmyvt1e0WTNig9T\nHQeAR6xbt27nzp1D/lFZWZmcONGFe1EIvaGmpkZEoqOjBx2PjIyU0xTCk/39738fWGv0hhtuKCws\nPMODm5ubRcRkMplMptM9hkIIBIId9R0OZ398+IipLDEKXUiPDatvt5fVd7JIEqBXO3fufOONN87w\nAO1EF+5FIfQGbcqf0Th4tLXjYWFn+aZz7ty5F1100a5duz777LONGzfu27dv3bp1ERERQz44Li7O\nZDKlpaUVFBQM+QDtPlUAurejrlNECsfRBqETU9NGl9a0ab/YAHTpDKepZWVlJpMpLo6NZ9yPQugN\n2q2hHR0dg463tbWJSGxs7JmfPn78+PHjx1977bX9/f3333//Rx99VFpaOnv27CEfnJ6evnPnzoKC\ngqeeesod2QH4q+2mDhEpZAIh9OKS5AgRqW+zqQ4CwFPmzZt3uhvZlixZYjKZ0tPTvZsoILCojDdo\nswfr6+sHHdeueicnJ5/6lPLy8hdffHHXrl0nHwwKCrrmmmtEZOvWrZ7KCkAvtD0ntHNoQAe0y90V\nTV1We5/qLACgHxRCb0hKSho/fnxtba3ZbD75+JYtW0TkyiuvPPUp9fX1y5Yte+WVVwYd7+3tFZGo\nqCiPhQWgB/Xt9vp2e6jRwIoy0I2chFFGQ5CIVDSxPT0AuA2F0EtuuukmEXn66acHjuzatau8vDw3\nN3fg2nd3d/fu3bu/+OILEZk0aVJwcPC2bdtaW1sHnnL8+PG//e1vwjxAAGejbThROG40W9JDT9Jj\nQ0WktqVHdRAA0A/mEHrJwoUL33333Y0bNzqdzpkzZx4+fHjVqlURERHLly8feMyBAwduv/32+Pj4\nrVu3jh8//tZbb127du1tt902f/78lJSUf/7zn++//35ra2tRUdHMmTMV/iwAfJ82gTA/hftFoSuF\n40ZXWXq21rbPnzxWdRYA0AkKoZdER0e//PLL99577zvvvPPOO++ISEpKyuOPP56RkXG6pzz22GOh\noaF//vOfn3nmGe1IcHDwt771rYceeshLoQH4rfIjVhG5bDxLjEJXrkiPWrPraElV69kfCgA4NxRC\n70lISHj77bcbGxv37NmTnZ19ahXMz8/fv3//wH+GhIT85Cc/+e53v1tdXX306NHk5OQJEybExDAd\nCMBZWO19mw+0iMj0jMHbnwJ+bVZ2rIhUNHVZunq5HRoA3IJC6G1JSUlJSUnn/vi4uDh2XAFwXsqP\ndDqc/VnxYdqEK0A3chJGRYQEW+19O+o6Zufw4QgAbsCiMgCgN6U17SKSn8wOhNAhbeHcTV82qw4C\nADpBIQQAvfnwYKuIXH8h10+gQzMyo0WkvMGqOggA6ASFEAD0pryhU07s4g3ozKyJsSKyo66jrceh\nOgsA6AGFEAB0ZUddp7beRk7CKNVZAPfLT4mICAm2OZzaZpsAgGGiEAKArmwztYtIUWaM0RCkOgvg\nEYWpo0VkR32n6iAAoAcUQgDQle2HO0SkYBwrykC3tPmx71W2qA4CAHpAIQQAXSmubJYT86wAXSoc\nFykiO+o7HM5+1VkAwO9RCAFAP6osPZau3oiQ4PyUCNVZAE8pyoyJDx9htfex1igADB+FEAD0o7Sm\nTUTyEsOZQAh9y0kIF5HNB7lrFACGi0IIAPqh7UB4c94Y1UEAz7pqYoyIlNWxrgwADBeFEAD046sd\nCFNZUQY6Nys7RkRKa9qYRggAw0QhBACdqG2xVZq7Q42G/BQKIXQuLzHCaAhq6jxeae5WnQUA/BuF\nEAB0Qlt0sXDc6PjwEaqzAJ4VHWacmhYlImxPDwDDRCEEAJ3YWtMuIqwvigAxNW20iLy3n3VlAGBY\nKIQAoBObD7SIyLUXsAMhAoL2q84VQgAYJgohAOiB1d6nTabS7qMDdG9qWpTREFRl6WnqPK46CwD4\nMQohAOhBSXWrw9mfFR/GBEIEiIiQ4JyEUXLi2jgAwDUUQgDQA20Hwtk5caqDAN5zw4XxIrK1tl11\nEADwYxRCANCD4spmEbls/GjVQQDvKRgXKVwhBIDhoRACgN+zdPVqEwjZgRABJT85UkSqLD317XbV\nWQDAX1EIAcDvbTO1y0lTqoAAkRUflh4bKideAgAAF1AIAcDvfTWB8II4oyFIdRbAq2ZNjBWR1/cc\nUx0EAPwVhRAA/J42h+qyNCYQIuAUpEYKuxECwDBQCAHAv520AyGFEAFn+oRoEamy9Fi6elVnAQC/\nRCEEAP+2o77D4eyPCAkuHEchRMDJSwzXphFykRAAXEMhBAD/tqOuU0SKMmNCjbylIxBNTYsSkW0m\nCiEAuIKzBwDwb9qKMuxAiIClTSN8fY9ZdRAA8EsUQgDwYzaHs6SqVUTyUyJUZwHU0BYarTR3W+19\nqrMAgP+hEAKAH6to7LI5nCLCBEIErPyUiPjwEQ5nf/mRTtVZAMD/UAgBwI9pC2kUjotMjBypOgug\nTH5KpDCNEABcQiEEAD+2/XCHnFhUAwhYV02MEZGtNe2qgwCA/6EQAoAf27jPIqwog4CnTSMsrmx2\nOPtVZwEAP0MhBAB/VWnu1jbjZgIhAlxeUrjREGRzOMsbrKqzAICfoRACgL/aZmoXkZyEUTkJo1Rn\nAVQKNRqmZ0SLCOvKAMD5ohACgL8qq+8UJhACIiJybU6siGxnXRkAOE8UQgDwV9oSo9qu3ECAK0yN\nFJGS6lamEQLAeaEQAoBfqm+376jrFJFZ2bGqswDqFY4bbTQEVVl6altsqrMAgD+hEAKAX9pmanc4\n+1OjQphACIhIdJhRu31am1sLADhHFEIA8EtldZ1yYj9uACIyPSNKRLbWUggB4DxQCAHAL5XWtItI\nfkqE6iCAr9DWlSmpalUdBAD8CYUQAPyStrw+W9IDAwpTR4caDZXm7vp2u+osAOA3KIQA4H9qW2xW\ne5+IaHuvARCRiJBg7Zr55gMtqrMAgN+gEAKA/ymubBaR+PAR0WFG1VkAH6J9RbL9MLsRAsC5ohAC\ngP/Zf6xb2JIeOMWMzGhhGiEAnA8KIQD4n0pzt5w49wUwYHpGtNEQxDRCADh3FEIA8DMOZ792AYQd\nCIFBosOM2jRC7bZqAMBZUQgBwM9UWXpsDqeIFI5jiVFgsKLMGBEpq+9UHQQA/AOFEAD8TGlNm4jk\nJIxKjBypOgvgc67IiBKRjV9YHM5+1VkAwA9QCAHAz+w+YhWRvES2pAeGMDUtymgIqm+317cxjRAA\nzo5CCAB+Zkddh4hclBiuOgjgixIjR2bFh4nI5oPsRggAZ0chBAB/YrX37ajrFJHZOXGqswA+alZ2\nrDCNEADODYUQAPxJRVOXw9kfajRoSykCOFVBaqQwjRAAzg2FEAD8SUWTVUTSY0NDjbyBA0PTFhqt\nb7dXWXpUZwEAX8f5BAD4k+2mDhGZnsGW9MBppceG5iWGy4kvUAAAZ0AhBAB/ss3ULifuiANwOkVZ\nMSLyXiXrygDAWVAIAcBv2BzOSnO3iOQlscQocCYzMqOFhUYB4BxQCAHAb2wztTuc/REhwYXjRqvO\nAvi06RnRRkNQbYutvp3dCAHgTCiEAOA3Khq7RCQ/OZIVZYAzS4wcqa3Eq+3bCQA4HU4pAMBvbK1t\nFxE2nADOhbbW6IcHW1UHAQCfRiEEAP/gcPaXHmoTkcvGc78ocHbaNMINe4+pDgIAPo1CCAD+obzB\nWt9uNxqCbrgwXnUWwA9MTYuKCAmub7fXtthUZwEA30UhBAD/oE2FykkYFR1mVJ0F8APx4SOmpkWJ\nSHFls+osAOC7KIQA4B9e33tMRGbnxKkOAviNK9KjRGTTlxRCADgtCiEA+AdtS/prL4hVHQTwG9Mz\nokRkR12Hw9mvOgsA+CgKIQD4gYqmLqu9z2gIyk+JVJ0F8BtT06KMhqCmzuPa9ykAgFNRCAHAD6zf\nbRaRWdmx8eEjVGcB/EZESLC2CNM2E7sRAsDQKIQA4Ae2H+4QkcJxXB4Ezo+2+cTfyo+qDgIAPopC\nCAB+QFtilAmEwPnSvkYpb7DaHE7VWQDAF1EIAcDXlVS3Wrp6I0KCtTX0AZy7wnGjQ40Gh7O/pKpV\ndRYA8EUUQgDwdaWH2kVkeka00RCkOgvgZ0KNBm2zlg8PUggBYAgUQgDwddqJ7PW57EAIuEK717q0\npk11EADwRRRCAPBpVnufdiJbOG606iyAX5o+IVpEtpk6mjqPq84CAD6HQggAPq38SKfD2Z8eG8oS\no4Br8hLDo8OMcmJxJgDAySiEAODTNh9oFZHC1NFMIARcVpQZI0wjBIChUAgBwKe9t79ZRK7NYcMJ\nwHU358WLyOYDLaqDAIDPoRACgO+y2vvKG6wioi2TCMA12hXCSnO3patXdRYA8C0UQgDwXZsPttgc\nztSokNSoENVZAD+WHhuaGhXicPYXVzarzgIAvoVCCAC+S5vyNOfiMaqDAH5Pex1trW1XHQQAfAuF\nEAB8V0lVq4jMyIxWHQTwe9puhNprCgAwgEIIAD6qtsVWae6WE9OfAAxHUWaM0RBUae7W5uUCADQU\nQgDwUaU1bQ5nf35KRHz4CNVZAL8XERI8KztWRDYfZK1RAPgXCiEA+Ki3KiwiMmsiG04A7pGfHCEi\nW6rbVAcBAB9CIQQAX+Rw9pdUt4rI9Rey4QTgHjfnjRGRkupWm8OpOgsA+AoKIQD4opKqVktXb6jR\nMDUtSnUWQCcKx0VGhxmt9j6WlgGAARRCAPBFO+o7RaQoKybUyBs14B5GQ5C2RNM2U4fqLADgKzjP\nAABfpO1AWDguUnUQQFcKUiPlxOsLACAUQgDwQTaHs/RQm4jMmMAOhIA7FWVFi8g2U7vV3qc6CwD4\nBAohAPic8garzeGMDx9RlMUOhIA7Tc+ITowc6XD2lx/pVJ0FAHyCUXWAwNLR0VFcXNzQ0JCZmVlY\nWJicnHzWp5jN5l27dlVUVAQFBU2YMGHGjBkxMZwgAjr3VsUxEZmVHWs0BKnOAujNrOzYV8ua3qqw\nTM/gCjwAUAi9aOvWrQ899FBn57++krzvvvseeeSRMzxly5YtDz74oN1uHzgSFxf3zDPPTJ8+3YNB\nAaimrShz2fjRqoMAOnR9btyrZU0b91mevTFLdRYAUI9bRr2ksbFx8eLFVqv14Ycf3rRp08qVK/Pz\n81966aVVq1ad7im7d+9evHixiPz0pz8tLi5evXr19ddf39zc/P3vf99isXgxOwCvsjmc20ztIsKG\nE4AnFI4bLSJVlh6mEQKAUAi9ZvXq1T09Pffff/+iRYuysrKuvPLK3/zmN5GRkS+88MLJFwBP9tFH\nH/X29j7++ON33HFHRkbG9OnTly1bdtFFF3V2dq5du9bL+QF4TXFls9XeFx8+giVGAU/Iig9LjQpx\nOPs37uPbVQCgEHrL9u3bReS2224bOJKQkDBt2jSr1frxxx8P+ZSdO3eKyIwZM04+OGfOHBHZv3+/\nB7MCUGq7qUNEZufEMYEQ8JDZOXEisv0wuxECAIXQK/r7+w8fPpyRkZGUlHTy8SlTpojIvn37hnxW\nbm7u3XffHR8ff/JBp9MpInFxcR4LC0CxkupWEbk+l5c54CnXXxgnIqU1baqDAIB6LCrjDY2NjTab\nbcyYMYOOa2WvpaVlyGctWbJk0JHm5uY//OEPcsplQwC60dbj2FHXKSJsOAF4TlFmjIjsqOts6jye\nGDlSdRwAUIlC6A01NTUiEh09eHnryMhIOX0hHKS0tPTRRx+1WCxz5sw5QyGsra0VkbKyslP7pGbK\nlCnz5s07t+AAvG2bqd3h7M+KD+MkFfCc6DBjTsKoSnP3NlP7nLzBX9cCUGXdunXanKlTlZWVyYkT\nXbgXhdAbtGVjjMbBo60dDwsLO/PTzWbzL3/5y7feestoND7wwAMPPvjgGR7c3NwsIiaTyWQyne4x\nFELAZ22pbhORWdmxqoMAOjc7J67S3P3hwVYKIeA7du7c+cYbb5zhAdqJLtyLQugN2q2hHR2DJ6+3\ntbWJSGzsmc781q1b9+STT/b09FxxxRU//vGPs7LOsmlSXFycyWRKS0srKCgY8gHaxEUAvmnzwRYR\nufmi+LM+EsBwXJ8b99zHdRv2HvvNLdmqswD4yhlOU8vKykwmE+toeAKF0Bu02YP19fWDjmtfciQn\nJ5/uiUuXLl27du3YsWOXLVs2c+bMc/m30tPTd+7cWVBQ8NRTTw0jMgAF6tvt5Q1WEclPYcMJwLOK\nsmJCjYb6dnttiy09NlR1HAAiIvPmzTvdjWxLliwxmUzp6eneTRQQWGXUG5KSksaPH19bW2s2m08+\nvmXLFhG58sorh3zW66+/vnbt2okTJ27cuPEc2yAAv7b5QIvD2T81bTQTCAFPMxqCpk+IFhF2IwQQ\n4CiEXnLTTTeJyNNPPz1wZNeuXeXl5bm5uQNfdXR3d+/evfuLL77Q/vPNN98MDg7++c9/Pnr0aK/n\nBaDAe/tbRORmZjQBXnHrxWPkxOsOAAIWt4x6ycKFC999992NGzc6nc6ZM2cePnx41apVERERy5cv\nH3jMgQMHbr/99vj4+K1bt/b29u7ZsycsLOy555479W+77LLLFi1a5MX4ADzO5nAWVzaLyNQ0vgMC\nvEG7Qlha02a190WEBKuOAwBqUAi9JDo6+uWXX7733nvfeeedd955R0RSUlIef/zxjIyMIR9fUVFh\nt9vtdvvWrVtP/dOYGDYoA/Sm9FBbW48jOsw4NS1KdRYgIOQlhmfFh1VZeraZ2lnaF0DAohB6T0JC\nwttvv93Y2Lhnz57s7OxTq2B+fv7+/fu1/z158uSB/w0gEGwzdYjIDRfGhxq5mR/wkukZ0VWWni2H\n2iiEAAIWpx3elpSUdO21157uwiCAgLXpS4uIXDae+0UB77n+wjgRWb/bfNZHAoBeUQgBQL2mzuM7\n6jpFZHYOOywB3jNrYqzREFRp7rZ09arOAgBqUAgBQL1tpnaHsz8nYVRWfJjqLEAAGZi1u6HimOos\nAKAGhRAA1Nu0r1lEmMUEeN+1F8SKyNaadtVBAEANCiEAqKddnbginfVFAW8ryooWkeLKZoezX3UW\nAFCAQggAitW22CxdvUZD0A0XxqvOAgSc6RnRiZEjmzqPlzdYVWcBAAUohACgmHZ5cGpaFFtjA0pM\nz/jqIqHqIACgAIUQABTb9GWznJjIBMD7bs6LF5H39reoDgIAClAIAUAlh7N/m6ld2HACUEe7Qrij\nrsNq71OdBQC8jUIIACptM7Vb7X2JkSPzUyJUZwECVHpsaF5iuM3h3LjPojoLAHgbhRAAVPpbuVlE\nZufEGQ1BqrMAgUvb9GXLoTbVQQDA2yiEAKCSdkViRma06iBAQLskOUJYVwZAQKIQAoAy20wdtS02\nNpwAlCvKjBGR2hZbbYtNdRYA8CoKIQAoo12OyE+JiA8foToLENDSY0NTo0JEpKS6VXUWAPAqCiEA\nKLO1tl1Ers/l8iCg3vQJ0SKypZpphAACC4UQANSwdPVqG05wvyjgC65IjxKRSnOX6iAA4FUUQgBQ\no6S61WrvS48NZcMJwBcUZcWISHmD1eZwqs4CAN5DIQQANT482CpsOAH4jLzE8PjwETaHU7t0DwAB\ngkIIAAo4nP1rdh0VkWsviFWdBcBXpmdEi0hJFdMIAQQQCiEAKFDeYG3rcYQaDbNz4lRnAfCVKzKi\n5MRqTwAQICiEAKDA63vMIlKUFRNq5H0Y8BXaFcJtpnamEQIIHJyIAIACG/dZROTWSWNUBwHwL/kp\nEaFGg9Xet6OuQ3UWAPASCiEAeJulq7fS3C0nLkcA8BGhRsPUtChhGiGAQEIhBABvK65sdjj7C8dF\n5iSMUp0FwL+ZkRktIl8cZTdCAIGCQggA3vZWhUW4PAj4pOkZUSLCLaMAAgeFEAC8yuHsL6luFZE7\npySqzgJgsKlpUaFGQ5Wlp77drjoLAHgDhRAAvKq4stnS1RsREpyfEqE6C4DBBl6bJVWtqrMAgDdQ\nCAHAq7ZUt4nI3EkJRkOQ6iwAhqDdzv3hQQohgIBAIQQAr9pQcUxErpoYozoIgKFpL8/1e8zsRggg\nEFAIAcB7Kpq6qiw90WHGuZckqM4CYGizc+JSo0Ks9r5tpnbVWQDA4yiEAOA9G/YeE5HpGdGhRt5+\nAd9VlBUjIq+VHVUdBAA8jjMSAPCe1/eaReT63DjVQQCcya2TxohISXWrw9mvOgsAeBaFEAC8pKKp\nq6Kxy2gImj95rOosAM5kdk6ctvkEd40C0D0KIQB4SXFls8PZXzguMjrMqDoLgDMJNRqmpkWJyOYD\nrDUKQOcohADgJa/vMYvIXYVJqoMAOLt7L0sSkdd2NqkOAgCeRSEEAG9o6jy+o65TRGbnMIEQ8AOz\nsmONhqAqS0+luVt1FgDwIAohAHjDhr3HHM7+/JSI9NhQ1VkAnF1i5EjtrtE1u1hrFICeUQgBwBs2\nfdksIrdezPaDgN+4PT9BRN7b36w6CAB4EIUQADzO0tVbUt0q3C8K+BVtN8Jtpo7aFpvqLADgKRRC\nAPC4zQdarPa+9NjQ/JQI1VkAnKu8xPCpaaNFpLiSi4QAdItCCAAe98qOJhGZOynBaAhSnQXAeZiV\nHSsifys3qw4CAJ5CIQQAz7I5nCVVrSJy7QWxqrMAOD9XTdTuGm1v63GozgIAHkEhBADP2rD3mM3h\nTI8N1S41APAjRZkx6bGhNodzQ8Ux1VkAwCMohADgWVsOtYnIrIm0QcAvaWtBbaluUx0EADyCQggA\nHmRzODfsPSYiMzKjVWcB4IqbL4oXkTW7jtocTtVZAMD9KIQA4EHbTO1Nncejw4xzL2EHQsAvzc6J\niw8fMTAZGAB0hkIIAB70yudNIlKUGRNq5P0W8Fdz8saIyOrtjaqDAID7cYICAB60+UCLiNx7WZLq\nIABcd3t+goiUVLda7X2qswCAm1EIAcBTiiub69vtESHB0zOYQAj4sekTohMjR1q6eov3s0M9AL2h\nEAKAp7y3v0VE5k5KiA4zqs4CwHWhRoO21uhbFRbVWQDAzSiEAOARDmf/y583isj1F8apzgJguO66\nNFFENlQcY61RADpDIQQAj9hmam/rcUSEBN9wYbzqLACGa3pGdHSY0WrvK67krlEAukIhBACP0BYk\nnH1BHOuLAjpgNAQtKEgU7hoFoDucpgCA+zmc/dr6ordPZvtBQCeuvSBWRDZUHGvrcajOAgBuQyEE\nAPcrqWqtb7dHhxlnTYxVnQWAe8zOiUuNCmnrcZTWtKnOAgBuQyEEAPd76wuLiMyaGMv6ooBuGA1B\ns7JjReSVz5tUZwEAt6EQAoD7rdl1VETuLBirOggAd9LWGt18sMXh7FedBQDcg0IIAG62+UCLpat3\nYOMyALoxNS0qOszY1uNYv9usOgsAuAeFEADc7PW9x0Rk/uSxrC8K6Eyo0aCtNfr6nmOqswCAe3Cy\nAgDuZHM4N+w9JicWJASgM3dO+WqHetYaBaAPFEIAcKeSqtamzuPx4SPYjx7Qpalpo1OjQhzOfm2q\nMAD4OwohALiTth/9DRfGR4QEq84CwCPuvSxZTtwcDgD+jkIIAG5jtfcV728WkXsvS1KdBYCnzL0k\nQUQ2H2ipbbGpzgIAw0UhBAC3WVN+1GrvS40KmZoWpToLAE/JSwyfmjZaRNbvYa1RAH6PQggAbqMt\nPLigINFoCFKdBYAH3TopQURWbz+iOggADBeFEADco77dvvlAi4jcWZCoOgsAz5o/eazREFRp7q5o\n6lKdBQCGhUIIAO6xZtdRh7M/J2FUXmK46iwAPCs1KmRWdqyIvFbWpDoLAAwLhRAA3OP1PWY5sfwg\nAN27ddIYEXm1rMnh7FedBQBcRyEEADeoaOraUdcpInPyxqjOAsAb5uePjQgJrm+3bzO1q84CAK6j\nEAKAG6zfbXY4+2dlx2bFh6nOAsAbIkKCZ18QJyd2HwUAP0UhBAA30BYbvPViLg8CAUTbcXTjPovN\n4VSdBQBcRCEEgOHaZuqob7cbDUHzJ49VnQWA9xRlxcSHj7B09W7Ye0x1FgBwEYUQAIZLuzw4J29M\ndJhRdRYA3hNqNMy9JEFE3vrCojoLALiIQggAw1Va0yYi118YpzoIAG+7c8pYEVm/29zUeVx1FgBw\nBYUQAIZlR11npbk71GhgfVEgAE1Ni0qNCnE4+1/+nKVlAPglCuR7jZ0AACAASURBVCEADMvfyo+K\nyKzsWO4XBQKQ0RCk7T76GhsSAvBPFEIAGJaN+ywictXEGNVBAKixoCDRaAiqaOrS7h4HAP9CIQQA\n11VZeirN3SLC+qJAwMqKDyvKihE2JATgnyiEAOC64spmEclLDE+MHKk6CwBlFl+RIiLrd5stXb2q\nswDA+aEQAoDrXt9zTERunZSgOggAlWbnxCVGjrQ5nK+WNanOAgDnh0IIAC6y2vvKj3SKyKxsJhAC\nAS3UaLj70iQReW9/i+osAHB+KIQA4KL1e8xtPY6s+LCpaVGqswBQ7K5Lk4yGoM0HWrhrFIB/oRAC\ngIs27WsWkbmTEoyGINVZACiWkzCqcFwkGxIC8DsUQgBwhc3hLKluFTacAHDComkpIvLipw1sSAjA\nj1AIAcAVpYfaLF29iZEjteXmAWDupISIkOAqS09JVavqLABwriiEAOCK13YeFZGirBjuFwWgiQgJ\nnp8/VkSe/6RedRYAOFcUQgA4b209jvV7zCJy5xT2owfwL4uvSBWRjfsstS021VkA4JxQCAHgvP22\ntN5q78tJGDU7J051FgA+JD8lYmraaBFZsZWLhAD8A4UQAM7bazubROTey5K5XxTAINpFwlfLmqz2\nPtVZAODsKIRe1dHRsXbt2uXLl//9738/cuTIuT+xtbX117/+9Zdffum5bADO0cZ9lkpz98A+1ABw\nsrmXJCRGjmzqPL6h4pjqLABwdkbVAQLI1q1bH3rooc7OzoEj99133yOPPHIuz924ceOKFStSU1Nz\nc3M9FhDAOdGWi1hQkBgfPkJ1FgA+R/u26Bf/MD3/Sd2CgkTVcQDgLLhC6CWNjY2LFy+2Wq0PP/zw\npk2bVq5cmZ+f/9JLL61aterMT+zr6yspKXn++ee9kxPAmdW22LQF5e+6lPM8AENbNC3FaAjaUddZ\nWtOmOgsAnAVXCL1k9erVPT09DzzwwKJFi0QkKysrJyfnG9/4xgsvvLBw4cKQkJBTn9Lf3z937tya\nmpquri6v5wUwtF9tOexw9uclhk/PiFadBYCPSo8NveHC+A0Vx1ZsbeC9AoCP4wqhl2zfvl1Ebrvt\ntoEjCQkJ06ZNs1qtH3/88emelZiYOG3atFmzZo0bN05EgoJYvgJQyeZwrtl1VE4sGgEAp7NoWrKI\nrN9tbuo8rjoLAJwJhdAb+vv7Dx8+nJGRkZT0b0tQTJkyRUT27ds35LOCgoJWnDBjxgxvBAVwRmt2\nHbV09UaHGedPZvtBAGcyOycuKz7M4ez//T8bVGcBgDOhEHpDY2OjzWYbM2bMoOPx8fEi0tLSoiIU\ngPP29D9MIrKgIDE6jPvtAZyFdivB6u1HHM5+1VkA4LQ4p/GGmpoaEYmOHjyLIDIyUtxdCGtra0Wk\nrKxsyZIlQz5gypQp8+bNc+O/CASI0pq2SnO3cL8ogHOzoCBxafGh+nb7hopjcyclqI4D+IF169bt\n3LlzyD8qKyuTEye6cC8KoTfY7XYRMRoHj7Z2PCwszI3/VnNzs4iYTCaTyXS6x1AIARes3t4oIkWZ\nMTkJo1RnAeAH4sNHzM8fu2r7kdXbGymEwLnYuXPnG2+8cYYHaCe6cC8KoTdot4Z2dHQMOt7W1iYi\nsbGxbvy34uLiTCZTWlpaQUHBkA/QJi4COC/17XZtOZlHisapzgLAb9x1aeKq7UeKK5tLa9pYbhQ4\nqzOcppaVlZlMpri4OG/mCRAUQm/QZg/W19cPOq59yZGcnOzGfys9PX3nzp0FBQVPPfWUG/9aIMD9\nquSwzeHMSwyfncNHEYBzNT0jemra6G2mjhc/PUIhBM5q3rx5p7uRbcmSJSaTKT093buJAgKLynhD\nUlLS+PHja2trzWbzyce3bNkiIldeeaWiXADOic3hfLWsSUQeKRpvNLD7C4Dz8NDXx4nIml1Ha1ts\nqrMAwBAohF5y0003icjTTz89cGTXrl3l5eW5ubkDX3V0d3fv3r37iy++UJIQwOk893Gdpas3Kz5s\nQUGi6iwA/MzcSxLSY0Mdzv7nP6lTnQUAhsAto16ycOHCd999d+PGjU6nc+bMmYcPH161alVERMTy\n5csHHnPgwIHbb789Pj5+69atCqMCOJnD2b+itF5EFk1L4fIggPNlNAQ9fk3GPWu+fLWs6YnZEyJC\nglUnAoB/wxVCL4mOjn755Zezs7PfeeedH/zgB7/+9a9jYmKWLVuWkZGhOhqAM3n588b6dnt0mPG7\n01JUZwHglxYUJKbHhlq6ep/7mIuEAHwOVwi9JyEh4e23325sbNyzZ092dvapVTA/P3///v1DPnfp\n0qVLly71fEYAg/2q5LCILChI5Ht9AK4xGoIWTUtZsql69WdHfnRVGvcaAPApXCH0tqSkpGuvvZYL\ng4Bf2HygpdLcbTQEPTozTXUWAH7su9NSosOMtS02bQMbAPAdFEIAOK2lxYdEZEFBYmpUiOosAPxY\ndJhRW5XqV1sOq84CAP+GQggAQyupbt1m6hARLg8CGL6Hvj7OaAgqb7BqbywA4CMohAAwtF+V1IlI\nUWZMTsIo1VkA+L2s+LBZ2bEiwv4TAHwKhRAAhrCjrrO4sllEHikapzoLAJ1YfEWKiKzfbbZ09arO\nAgBfoRACwBCWFh9yOPsLx0XOzolTnQWATtxwYby2Sf3LnzeqzgIAX6EQAsBgO+o6Nx9oEZEnZk9g\ngXgAbnTv15JF5MVPGxzOftVZAECEQggAp/rZ+zXa5UFtwg8AuMvdX0syGoKqLD0lVa2qswCACIUQ\nAAbZUde5cZ9FRB6/JoPLgwDcKzUq5IYL40Vk9WfcNQrAJ1AIAeDf/Oz9GhEpHBepnbQBgHs9dGWq\nsLQMAJ9BIQSAf9lm6tAWF338mgzVWQDok7aZDUvLAPARFEIA+Jen/2FyOPunpo1mcVEAnrNoWoqw\ntAwA30AhBICvDMwefHRmGrMHAXjOgoLEUKOBpWUA+AIKIQB8ZWBxUWYPAvCo+PARcy9JEJH7X9/P\nRUIAalEIAUBEZEdd58DsQS4PAvC0h74+Ttt/QrsxAQBUoRACgIjI0uJD2uVBZg8C8IKBmxGe/odJ\ndRYAAY1CCACyo65z84EWEXli9gQuDwLwjkdnponINlMHFwkBKEQhBIB/zR6clR2rOguAQDE1bbR2\nkVDb/hQAlKAQAgh0A4uLMnsQgJdpW54OvAsBgPdRCAEEOu27eRYXBeB9A+882n0KquMACEQUQgAB\nbZupY2BxUdVZAAQi7d6EgZnMAOBlFEIAAe3pf5gczv6paaNZXBSAEgOzl5cWH1KdBUAgohACCFwD\n83YenZnG7EEAqjwxe4IwkxCAIhRCAIFrYHFRZg8CUOikPQkPq84CIOBQCAEEqM0HWrQv439zywVc\nHgSgljaTsLSmbf0es+osAAILhRBAgPqvtw6KyNxJCVPTRqvOAiDQFY6LnD95rIgs2VRtczhVxwEQ\nQCiEAALRqu1HKpq6jIagp67PVJ0FAEREnpg9ISIkuMrS89vSetVZAAQQCiGAgGO19y1995CIfG96\nalZ8mOo4ACAikh4b+r0rUkXkyc21bT0O1XEABAoKIYCA89zHdU2dxyNCgn8yK111FgD4l0dnpsWH\nj2jrcfxqC6vLAPASCiGAwNLUeVw703rqG5nx4SNUxwGAf4kOMz5+TYaI/PKjw/XtdtVxAAQECiGA\nwLL03UNtPY6chFHfvTxFdRYAGOy7l6fkJIyyOZxLNlWrzgIgIFAIAQSQiqaulz9vFJGnrs9kqwkA\nPshoCHr2xiwRebWsaUddp+o4APSPQggggDz4xgGHs78oM2ZO3hjVWQBgaDdcGD89I1pEvrPuS4ez\nX3UcADpHIQQQKH7/z4aS6lYRWX7zRNVZAOBMXph7gdEQVN5gXbXtiOosAHSOQgggINS22H64sUpE\nvn1Zcn5KhOo4AHAmeYnh379ynIgseae6ytKjOg4APaMQAggIS4sPWe196bGh2uQcAPBxT1w3IT02\ntK3H8V9vHVSdBYCeUQgB6F9pTduaXUdF5KlvZEaHGVXHAYCzCzUaVs7LMRqCNu6zrN9jVh0HgG5R\nCAHonNXe9521lQ5n/5y8MfMnj1UdBwDO1azsWG0FrAffOGC196mOA0CfKIQAdO5n79dUmrujw4zc\nLArA7/zmm9mJkSObOo8vLT6kOgsAfaIQAtCzKkvP7z9tEJEnZk/Iig9THQcAzk9i5MgnrpsgIr8t\nra80d6uOA0CHKIQA9Ow7ayut9r78lIjvXp6iOgsAuOLblyXPzolzOPsX/uULtiUE4HYUQgC6VVLd\nqm08+OwNWUZDkOo4AOCi5TdPNBqCdtR1/ra0XnUWAHpDIQSgWz97r1ZEijJjZmXHqs4CAK7LSRj1\nk1npIrK0+FB9u111HAC6QiEEoE8DlwcfvzZddRYAGK4fXZWWFR9mtfc9+MYB1VkA6AqFEIA+DVwe\nLMqMUZ0FAIYr1GhYeVuOiGyoOLah4pjqOAD0g0IIQIe4PAhAf4oyY+6+NEnYlhCAW1EIAegQlwcB\n6NJT12dGhATXt9vZlhCAu1AIAejNhopjXB4EoEuJkSOX3zxRRH5bWl9a06Y6DgA9oBAC0BWrve87\nayuFy4MAdOruS5NmZcc6nP23/HEvK44CGD4KIQBduePVLyxdvUZD0LM3ZqnOAgDuZzQELb95YkRI\nsKWr98bVu5lMCGCYKIQA9OPBNw9s3GcRkTfvubhwXKTqOADgEXmJ4X+cnysi5Q3We9Z8qToOAP9G\nIQSgE7//Z8NvS+tF5LGr02+4MF51HADwoLmTEp6YPUFE1u8xs8AMgOGgEALQg9Katv9666CIzJ88\n9vFrMlTHAQCPe+zq9PmTx4rI/31Qu36PWXUcAP6KQgjA71U0dd3yx702h3NWduzKeTlGQ5DqRADg\nDX+cn6vdHr/wtX076jpVxwHglyiEAPxbU+fx614qt3T1pseGrvtWXkRIsOpEAOAloUbD2/dekhoV\nYnM4b1y9m0VHAbiAQgjAj9kczlv+uKe+3R5qNPx1QV50mFF1IgDwqsTIkW/fe0lESHBT53EWHQXg\nAgohAD92z5ovt5k6ROSP83Onpo1WHQcAFMhPiWDRUQAuoxAC8Ff/90Html1H5aSVFQAgMLHoKACX\nUQgB+KX1e8w/e79GROZOSmBZUQBg0VEArqEQAvA/5Q3W76ytdDj781MiVt7GsqIAIMKiowBcQiEE\n4Ge0hRPaehzaUgosJAMAGhYdBeACCiEAfzKwrKjREPTmPZNSo0JUJwIAH8KiowDOF4UQgD8ZWFZ0\n5W05LCsKAKfKT4lYOS/HaAgqb7A++OYB1XEA+DoKIQC/MbCs6BOzJ9x9aZLqOADgo+ZPHvvEdRNE\n5OXPG3//zwbVcQD4NAohAP8wsKzonLwxP7oqTXUcAPBpP5qZpi06+uCbB0qqW1XHAeC7KIQA/MCO\nuk5tWdHpGdF/XXgRy4oCwFn9cX5uUWaMw9l/yx/3Vll6VMcB4KMohAB8XVPn8Xl/2qstK7rurrxQ\nI29cAHB2oUbDurvy0mND23oc2uLMqhMB8EWcVwHwafXt9htX765tsaVGhXz0wJTEyJGqEwGA34gP\nH/Hm3ZMiQoIrzd0L/7LP4exXnQiAz6EQAvBdtS22/+93O3fUdabHhn7yvYKchFGqEwGAn8lPiXjh\n1guMhqCN+yz/90Gt6jgAfA6FEICPsnT1XreyvMrSkx4b+sGiyemxoaoTAYBfWlCQ+L3pqSLys/dr\nNu6zqI4DwLdQCAH4ovIG66XPfV5p7tbaYFZ8mOpEAODHlt88UVt09I5Xv2DRUQAnoxAC8DmbD7Rc\n/eKur+YN3j+FNggAw7dyXk5+SoTV3nf178u5TghgAIUQgG/5Zcnh61butnT15iSM+uC73CkKAO4R\nERL87nfy8xLDHc7+G1fvYT4hAA2FEICvsNr7Fv5l3w/frnI4++fkjfn0PwtZRQYA3CgxcuSn/1k4\nd1KCiCwtPnTLH/da7X2qQwFQjEIIwCfUtti+vqLs1bImEXli9oR1d+VFhxlVhwIAvYkICV53V95T\n12caDUEbKo5ps7VVhwKgEoUQgHqbD7Rc+tzn5Q3WiJDgN++5+LGr042GINWhAEC3fjQz7d3vXBId\nZqw0d1/63OcbKo6pTgRAGQohAMVOnjT46X8WzskbozoRAOjfrOzYXQ9/LS8x3Grvu+WPe3/xD5Pq\nRADUoBACUObUSYN5ieGqQwFAoEiPDf30PwsXFCSKyJJN1det3N3W41AdCoC3UQgBqFFl6WHSIACo\nFRES/Of/uPDZG7OMhqDiyubJyz5jSiEQaCiEABRYv8fMpEEA8BE/KBr/wXfz48NH1LbYJv/qs//7\noNbmcKoOBcBLKIQAvMrh7H/wzQN3/PmLth5HXmL459+/lEmDAKBcUWbMp/9ZOH/yWJvDubT4UO7T\n24orm1WHAuANFEIA3lNl6Zn8q89+W1rvcPZ/+7JkdhoEAN+RFR/21wUXffTA5JyEUbUttutW7r7l\nj3trW2yqcwHwLAohAG+wOZxLNlXnPr2toqlLm7Ky8raciJBg1bkAAP+mKDNm7w8ve+r6zIiQ4A0V\nx3Kf3sYdpIC+UQgBeFxxZfPFz27/xT9MDmf/7Jy4XQ9/TVvUDgDgg4yGoB/NTPvy0ancQQoEAgoh\nAA+qb7ff8eoX163cXWXpSYwc+dcFF737nUuy4sNU5wIAnEVqVAh3kAKBgEIIwCMczv5flhy++Nnt\na3YdPfnLZtW5AADngTtIAd2jEAJwv5Lq1sm/+uyHb1e19ThuuDD+y0enPnV9JtsMAoA/4g5SQN84\nPwPgTqU1bU9uNm0+0OJw9qfHhv7mluwbLoxXHQoAMFzaHaSLpiXfv35/pbn7upW7izJjHr82vSgz\nRnU0AMNCIQTgBpau3lfLmlZvP1LR1CUioUbDT2al/6BoPOuIAoCeaHeQ/rLk8JOba0uqW0t+15oV\nH7ZoWsrdlybFh49QnQ6AKyiEvq6jo6O4uLihoSEzM7OwsDA5OVl1IuDflNa0rd7euH6P2WrvExGj\nIWhO3phnb8xKjw1VHQ0A4H7aHaQLChKXbKpev9tcZen54dtVSzZVz70kYdG0ZC4YAn6HQujTtm7d\n+tBDD3V2dg4cue+++x555BGFkQDNoEuCIpIVH3bvZcnfviyZL4kBQPdSo0L+/B8XLr954qtlTS9+\n2lBp7l6z6+iaXUe5jxTwOxRC39XY2Lh48WKbzfbwww9fddVVR44cWbFixUsvvRQVFfXtb39bdToE\norYeR/mRzh11nVtr2jcfbDn5kuCiaclFWTFGQ5DqjAAA74kPH/H9K8d9/8pxJdWtP3y7akddp3Yf\naXps6L1fS85PiSgcNzoxcqTqmADOhELou1avXt3T0/PAAw8sWrRIRLKysnJycr7xjW+88MILCxcu\nDAkJUR0Q+jfQAHcfse6o66iy9Dic/QN/yiVBAICmKDPm8+9fWlLd+rP3akuqW2tbbEuLD2l/lBoV\nMjUtakZm9NS0qPyUCL46BHwNhdB3bd++XURuu+22gSMJCQnTpk17//33P/7446uvvlpdNOhZRVPX\njrqODw+2ntoANYmRI6dnRHNJEAAwSFFmTNEDMSXVrau3N24ztVdZekSkvt2+fo95/R6z9pjEyJGF\n40ZfNn401w8BH0Eh9FH9/f2HDx/OyMhISko6+fiUKVPef//9ffv2UQjhLrUtto37LNsPd1RZuivN\n3W09jkEP0D68C1IjC8dF5qdEpkZxdRoAcFpFmTHaHMK2HseOuo7yI9ay+k7tS0YRaeo8vnGfZeM+\ni/bg1KgQ7SOGfgioQiH0UY2NjTabbcyYMYOOx8fHi0hLS4uKUPBXA3d+Vjf32HqdA8ebOo9buo6X\nN1gHXQbMig/LS4y4JDmCBggAcFl0mHFWduys7FjtP5s6j1dZussbrFtr2wf6YX27vb792IaKY9pj\nUqNC4iNG5CdHnvz3ZMaFURcBz6EQ+qiamhoRiY6OHnQ8MjJSzlgIPzSHNF3yrT8djdj0w1eHfEBc\nXFx6errbgsK3VZq72nocQ975ebK8xPCirJiC1MipaVHpsaGhRoPXEgIAAkRi5Eht0sH3pqfKaa4f\n1rfb69vt5Q3WIf+GIesi9KS2tra5uXnIP2puTrRe8q0Pzb1ejhQIKIQ+ym63i4jROPj/IO14WFjY\n6Z5YezyiY9yUDpEjztM84pjIsUZ35YS/MBqCEiNHRocZC8eNHjjYcLgmvHn/jfnj//87ZirM5mvW\nrVu3c+fOKVOmzJs3T3UWX8GYDIlhGRLDMiSG5VTRYcbW3R8279z5zSlT/rpk3kA/3G/uPvlLzCpL\nj6XreG2LzeZwnrkuQhdCRE6z53ZMssRIrXmnd/MEBAqhj9JuDe3o6Bh0vK2tTURiY2NP98TR1sN2\nu33EiBGn28I+MK8QlpWVmUymtLS0goIC1Vm8LTU6ZMaE6KlpUREhwYP+aMmSP72x4Y0cwzfljluV\nZPNNO3fufOONN0SE87YBjMmQGJYhMSxDYliGdPKwDLq/dBCHs3+bqb20pr36bPe86EAgn7Sc4Qrh\nkSNHent7R/ce9XKkQEAh9FHa7MH6+vpBx7UXyenKnohM6KoMNr2Xlpb2/mvvezShf1my+09v7H7j\n+sxvPjV/geosAADg/BgNQdMzoqdnDJ5Ko0uBfdKSe7o/uOaaa7Se7M00AYKZQj4qKSlp/PjxtbW1\nZrP55ONbtmwRkSuvvFJRLgAAAAD6QSH0XTfddJOIPP300wNHdu3aVV5enpubG4D3fAIAAABwO24Z\n9V0LFy589913N27c6HQ6Z86cefjw4VWrVkVERCxfvlx1NAAAAAB6QCH0XdHR0S+//PK99977zjvv\nvPPOOyKSkpLy+OOPZ2RkqI4GAAAAQA8ohD4tISHh7bffbmxs3LNnT3Z2NlUQAAAAgBtRCP1AUlJS\nUlKS6hQAAAAA9IZFZQAAAAAgQAX19+t8c89Ac/nllzc3N0dERFxzzTWqs/iQQN7j9QwYliExLKdi\nTIbEsAyJYRkSwzIkhmVIDMuQ3n//favVGhcX989//lN1Fr2hEOpNQUGB1WpVnQIAAABws4iIiLKy\nMtUp9IY5hHozceLEgwcPxsbGFhYWqs7iQ2pra5ubm+Pi4tjC8WQMy5AYllMxJkNiWIbEsAyJYRkS\nwzIkhmVIO3bsaGlpmThxouogOsQVQgAAAAAIUCwqAwAAAAABikIIAAAAAAGKQggAAAAAAYpCCAAA\nAAABikIIAAAAAAGKQggAAAAAAYp9CP1YR0dHcXFxQ0NDZmZmYWFhcnLyWZ+yc+dOi8Uy6GBYWNjX\nv/51z2RUwIVhOVlPT8+zzz6bkpJy7733eiihEi4My8GDB/fs2VNdXR0XF5ebm3v55Zd7IaeXuTAs\nZrN5165dFRUVQUFBEyZMmDFjRkxMjBeiepPLL6LW1tY///nPV199dW5urkcT+oJhvtX4teH87Dr+\nJXFtWHT/lsKnz5CG8yLS64mKnP+wBMJprXdQCP3V1q1bH3rooc7OzoEj99133yOPPHLmZz3xxBP7\n9u0bdDA5Ofmjjz5yf0QVXBuWk/3iF79Ys2bN1772NT29z7owLMuWLXvxxRdPPnLxxRevXLlST2cq\nLgzLli1bHnzwQbvdPnAkLi7umWeemT59ugeDetdwXkQbN25csWJFamqq/s71Bxn+W43/GubPrtdf\nEteGRfdvKXz6DGmYLyJdnqiIS8Oi+9Nar6EQ+qXGxsbFixfbbLaHH374qquuOnLkyIoVK1566aWo\nqKhvf/vbZ3iiyWS66KKLbrzxxpMPRkREeDivl7g8LAM++OCDNWvWeDqnl7kwLK+99tqLL76Ylpb2\n6KOPZmVl7d69+5VXXtm7d+9jjz22YsUKL+f3EBeGZffu3YsXLzYYDD/96U+nTp3a0NDwxhtvbNq0\n6fvf/35xcXF8fLyXfwRPcPlF1NfX98knnzz//PNei6rQ8N9q/NdwfnYd/5K4Niy6f0vh02dIw3wD\n0eWJirg6LPo+rfWqfvihJ554Ijs7+7nnnhs4cvTo0YKCgilTpthsttM969ixY9nZ2cuWLfNKRgVc\nG5YBjY2Nl1566Te/+c3s7OwFCxZ4MqlXuTAsd9999wUXXNDY2Dhw5MCBA9nZ2RdffLHD4fB4Yq9w\nYViWL1+enZ29fv36kw/ecsst2dnZK1as8Gxcb3FhWJxO5ze/+c3Jkydnn/D66697K68aw3yr8Wuu\n/ey6/yVxbVh0/5bCp8+QhvMGotcTlX6XhkX3p7XexKIyfmn79u0icttttw0cSUhImDZtmtVq/fjj\nj0/3rMOHD4tIRkaGFxIq4dqwaJxO5w9/+MMRI0b87//+r2dTet35DktfX195efmECRMSExMHDk6c\nODEtLa2vr+/kW5v8mgu/LTt37hSRGTNmnHxwzpw5IrJ//34PZvUi115EiYmJ06ZNmzVr1rhx40Qk\nKCjIC1EVGs5bjb9z+WfX9y+Ja8Oi+7cUPn2G5PKLSMcnKuLSsOj+tNabKIT+p7+///DhwxkZGUlJ\nSScfnzJlioicei/1AJPJJCIZGRkHDx7ctGnTBx98UF9f7+m0XuPysGheeumlzz777Oc//3lcXJwH\nU3qdC8PidDpfeeWV3/3udycfrK+vr6urmzZt2qhRozwa2Dtc+23Jzc29++67B93H5XQ6RUQfvzau\nDUtQUNCKEwad2urSMN9q/JrLP7u+f0lcHhZ9v6Xw6TOk4byB6PVERVwdFn2f1noZcwj9T2Njo81m\nGzNmzKDj2odKS0vL6Z6ofZXyP//zP5WVlQMHb7755h//+MfR0dGeCes9Lg+LiJSXl//617+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"output_type": "display_data"}], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 3__\n", "\n", "Test with different configurations of control points."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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1dXU5nU4hRKFQULWn9oULPEqYnZ2dnZ2V7b6+voGBAb3xANhVV1fX6dOnZXt2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"output_type": "display_data"}], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Quadratic B-splines\n", "-------------------\n", "We consider here the Chaikin \"corner cutting\"\n", "scheme [Chaikin74](#biblio).\n", "\n", "\n", "For a weight $w>1$, it corresponds to the following kernel:\n", "$$h = \\frac{1}{1+w}[1, w, w, 1].$$\n", "The weight is a tension parameter that controls the properties of the\n", "interpolation."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["hcc = @(w)[1 w w 1]/(1+w);"]}, {"source": ["For $w=3$, the scaling function $\\phi$ is a quadratic B-spline."], "metadata": {}, "cell_type": "markdown"}, {"source": ["__Exercise 4__\n", "\n", "Test the corner-cutting for $w=3$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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nQcBisczPz/f09MTOSNHW1sYI41DTgUH2TSbTwMDA5OSkxWLRuzRAZ7K7gWw+2tXVVVdX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"output_type": "display_data"}], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo4()"]}, {"collapsed": false, "outputs": [], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 5__\n", "\n", "Test the corner-cutting for vaious values of $w$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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01M/Pb8qUKVu3bmUYJikpidv1hxB6zMoQ/v7+CKFRo0Zx0SDn6aeffv/992/d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\nevkoY2UX7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+3oE1EvCVGQsLNCQAitsjL2kkHdeoU4+S2z5jvWbE+B5Z38ooy2suqLd0iX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tgEMYlR21m5bQNejDFr/hDolkGIbpqj2ul18kTe87MvpfjJ4wJ5Ux85FgvagHwIAQehYSwmRn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\nCK/DQP0AACAASURBVAGmAXcyBEEQVJn34NSGXL3xQRAEhYzpP2V1AqggtSQ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"output_type": "display_data"}], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo5()"]}, {"collapsed": false, "outputs": [], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Interpolating Subdivision\n", "-------------------------\n", "Interpolating schemes keeps unchange the set of point at the previous\n", "level, and only smooth the position of the added points.\n", "\n", "\n", "A subdivision is interpolating if the kernel satisfies\n", "$$h(0)=1 \\qandq \\forall i \\neq 0, \\quad h(2i)=0.$$\n", "\n", "\n", "We consider the four-point interpolation kernel\n", "proposed in [DynLevGre87](#biblio):\n", "$$h = [-w, 0, 1/2+w, 1, 1/2+w, -w]$$\n", "where $w>0$ is a tension parameter."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["h4pt = @(w)[-w, 0, 1/2+w, 1, 1/2+w, 0, -w];"]}, {"source": ["One usually choose $w=1/16$ wich corresponds to\n", "cubic B-spline interpolation.\n", "It can be shown to produce $C^1$ curves\n", "for $w \\in [0, (\\sqrt{5}-1)/8 \\approx 0.154]$, see [DynGreLev91](#biblio)."], "metadata": {}, "cell_type": "markdown"}, {"source": ["__Exercise 6__\n", "\n", "Perform the interpolating subdivision\n", "for $w=1/16$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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4Q4htqtwrGo1ySge4iNcrvv3t7dfhr/j6/f5QKCTHt2/f7vbkoEHjozs9SYMA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"output_type": "display_data"}], "prompt_number": 24, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo6()"]}, {"collapsed": false, "outputs": [], "prompt_number": 25, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 7__\n", "\n", "Test the influence of $w$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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AeGwIhAAA/VZ5vebAe8eUsl+VQ4h9NSrhD9PZvJH1e9VooLTSTM2DY7rWvF6O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\nXSEdxNrUpDkP02bD12tcF4tpU561XJH7G7Z/iuify/5qv37xdUIR9y0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vLf2o6gz31FMs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\nko4kVtAhcYEhgwJCBwU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"output_type": "display_data"}], "prompt_number": 26, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo7()"]}, {"collapsed": false, "outputs": [], "prompt_number": 27, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 8__\n", "\n", "Compare the result of the quadratic B-spline, cubic B-spline,\n", "and 4-points interpolating."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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zs0XkT3/60w033KA/oK6uTkTOOecc43ft37//vvvuy8jI+PjjjwcOHKjdqW0a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/yzP4v/+B8n/WrOTkzO92pyvleTO+D3auOU4yRKeoaw1Zr8GGTCz9XkfK8m53s1uSzOELpjJzsC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\nEAIAADSUQAgAANBQAiEAAEBD/X/kzGrrXox61QAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 28, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo8()"]}, {"collapsed": false, "outputs": [], "prompt_number": 29, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["The 4-point scheme for $w=1/16$ is generalized to $2k$-point schemes of\n", "Deslauriers-Dubuc\n", "[DeslDub89](#biblio). This corresponds to computing a polynomial\n", "interpolation of degree $2k-1$, which generalizes the cubic interpolation.\n", "Using larger $k$ leads to smoother interpolation, at the price of a\n", "larger interpolation kernel.\n", "\n", "\n", "We give here the odd coefficients of the filters."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 30, "cell_type": "code", "language": "python", "metadata": {}, "input": ["H = { [0.5000 0.5000], ...\n", " [-0.0625, 0.5625, 0.5625, -0.0625], ...\n", " [0.0117, -0.0977, 0.5859, 0.5859, -0.0977, 0.0117], ...\n", " [-0.0024, 0.0239, -0.1196, 0.5981, 0.5981, -0.1196, 0.0239, -0.0024] }; \n", "hdd = @(k)assign(assign(zeros(4*k-1,1),1:2:4*k-1,H{k}), 2*k, 1);"]}, {"source": ["__Exercise 9__\n", "\n", "Display the scaling function associated to these Deslauriers-Dubuc filters."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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LxcfHl5WVGY3GjIwMpbOojdlsrqurCwkJMZlMSmdRG8ZWPoytfBhb+TC2smJ4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\nzWMCUi+z0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"output_type": "display_data"}], "prompt_number": 31, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo9()"]}, {"collapsed": false, "outputs": [], "prompt_number": 32, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Curve Approximation\n", "-------------------\n", "Given an input, complicated curve $g : [0,1] \\rightarrow \\CC$, it is possible to approximate is by\n", "sampling the curve, and then subdividing it. It corresponds to a low pass\n", "filtering approximation.\n", "\n", "\n", "Load an initial random curve, which is a high resolution curve $g$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 33, "cell_type": "code", "language": "python", "metadata": {}, "input": ["options.bound = 'per';\n", "n = 1024*2; \n", "sigma = n/8;\n", "F = perform_blurring(randn(n,1),sigma,options) + 1i*perform_blurring(randn(n,1),sigma,options);\n", "F = rescale(real(F),.01,.99) + 1i * rescale(imag(F),.01,.99);"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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Hx1WXg9Ji7AQAAACwp+7ubhEF/X7/yspKdXW16opKa3Nz8/333xfrycnJS5cuqa0HpcYO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xoaKj6G/ipaW1uXl5fzR9jfunVLluUSfiIAQNUhEAIAYLDV1VW1fFd8DP1V5I+wX19f93g8Ho+H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\nAAIlCAEAAAIlCAEAAAIlCAEAAAL1f4kOa3D7bETEAAAAAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 34, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; myplot(F, 'k');\n", "myaxis(0);"]}, {"source": ["Load an interpolating subvision mask."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 35, "cell_type": "code", "language": "python", "metadata": {}, "input": ["h = [-1, 0, 9, 1, 9, 0, -1]/16; \n", "h((end+1)/2)=1;"]}, {"source": ["__Exercise 10__\n", "\n", "Perform an approximation $f$ of the curve using a uniform sampling with $N_0=20$\n", "points."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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169YJf3MoJOvXR5e5f4FQk86+MrAfAkIAAADYln7nLRgMOuXOm6WvDHMUMSYCQgAAANjW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\nB/oAM3C8tTU1NbW4uFg+/5M33yy67jpRVDT+hdxSSOHT29v74x//eP7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8vz333Offecfr\nofn5GBrC2BijIBGNs9mkOXOu+vBD+eitBQsuf/ttpkEKD6dTs4tno9mcAihTBws5lSrecMkoRZp6\n4WjoS8zZYyZcfCc9AhuuuebJpib17+XAgQOVlZVKgC8qKqqvr/fbehScUjgtQQya53ZBIvJVVQVl\nNQfw2ty5V546xTRIYbNyJVpb1Se4dTDesUJIkaZeONrc3FxVVRXKd9HMUnM6sWwZC1OhMBphtWrO\n/e63v9X8XoqLi48dO5blWbLb1NRUVlY2ng8lCbW12m/CUmGoNIXBeWlpzzzwQN3zz2vTYH7+xHRB\npkEiUths6jR45PzzWRuksBEC/f2aNLiEaTD+sUJIUaDpVhJ0gxn46TGTlYUTJ1gnDJpej5mlwAM/\n/3nJ5s3q7D08PGwymdrb2+VD7VM/S4XT0Nvb29jY+PDDD6u3C25as+axwUFtFGTnGCLyRwjMVnZy\n4cY5c/79jTdyvLcGEIXOp+X7UqAbEEyDcY6BkKJDCLF48WKHw4GQJxOCsyjCR2+2LID/ff75BTfd\npM6EgcbWyzRTCgGUlqKmhr8Uf2w2244dO2yqfjwcNE9EoRBClJRITU3ykXnWrH9qbCxWb/MmmiY/\ncyaYBuMdAyFFjXoyodFo7OrqCvqphLMowmt4GBdcoDl39tChOWvWBMiE6enpHR0dXnnet1RYWgqL\nZeYuPE7pRkGj7jwJcNA8EQUkxGfr1p1z6JB81Ag4d+268847o3tRlFD8z5ngkIl4xz2EFDUGg2HX\nrl3ybYfDMbEnbeo4iyK80tIwMoKMDPW5OTfeePbIEchtRQF4xlEonzoPDAwsW7ZMWUcqP0K7q7Cx\nkRMp1OR5EiaTSU6Dcg5csWhRX0aGzjwJZbsgX26JSJcQf73hBiUNNgO2225jGqSwCThngkMmEgAr\nhBRllZWVSv+M0tJSSwh1JLlOODyM3Fyv86wThkav7+gnvb3nXX65+owQoqKiorGxUT5MTU3ds2fP\nhg0b4P0g9W4W7ieUNTQ0bNmyxel0Kme++fWv73v9dZ2HsokoEU1KiD+tXn3hsWPyUTPwc5PpuUOH\nUvm8QWGh12hgEeACAGzYsKGmpiYq10VhxAohRVlNTY1Sa2psbKzTtCSZCrlOmJODvj6v87m5nE8Y\nCr2+ow+uX//JyZO+dcJt27bJh9oRhZ4HeX2rpG89KhcGKyoqlDR4+WWXHd+3b9/772sfyiaiRDQ1\n7/7N36jT4IHbbmMapHByOjVpcJknDVqtVqbBxMAKIUVfeBrMgD1mwkfv40Do7ScEUFdXt2nTJmW5\nb2FhYW1trddv0HsiFgC0tWH58pm48FimKQymGwx77r23+PnnNf27YTDAamVVkIgmJYT4RWXlHQ0N\n8uHRlJTehx664667ontVlGh6e7FkifrEEqAXsFqtHECfMBgIKSaEocEM2GMmrISAwzFWWpryhz+o\nT+tmwu7u7pKSEjnSA8jIyLBYLPn5+ROPSOLWo7rzJG4vKnr04491Bs0D6OlBdnZEL5GI4pAQ4qEb\nbrjvlVeUM0d+85s1ZWVRvCRKQJqtHwCA2UBxaHt8KFYxEFKsaGhoqKiokG9Pq3+xb50QwOnT4Fje\nEAgxlpc3lUw4ODhYUVHR3NwsH+psKUy+KYXBzZOQtwumpSEjQ/N3S0Tk60R29jLVM8kf//u/v/T3\nfx/F66EE5CcNFnLIRMLhHkKKFeXl5cp4+ubm5qqqqhC/UUYG7HZ0dXmdXLQILtf0LjApSVKKp22M\nYs6NN/7197/XnJw3b96RI0cCbSn0bT2KhN1VaLPZTCaT0kQUgARkAb9fuPCNM2e0aVC9XdBoZBok\nokm9+IMfqNPg2W98g2mQwkluK+qTBlM8tUGmwQTDCiHFEM2Au9raWiUihvbttM9lH36I0HYnJjO9\n/YR/mj1beu+98y+6yPfhk28p9C0Vms2wWBJj+ajL5aqurlZ6I0lABnDxokXPnHeeUdVWdBybiBJR\n8Gw2W6HqOXl4//40Tp+n8PJZbCW3FeW+wUTFQEixJWwNZmS+k9aZCUPgp8fMX5zO8y+5xPfhk28p\nBNDUhLVrJw4TIhNyngQRzbR3//CH3191Vdknn8iHXClKYSa3YzCZ4HkRB5ALdDMNJjQuGaXYIknS\niRMn5BDocrkuvvjiwemMjkhLw9CQ15mLL8bx43A41BMUaBKShIIC31kU52dk/PW113z/JnNycjo6\nOsxms3zodDpXrly5T9NotKgIIyNQPtVubo7ftaO9vb0//OEP58yZw3kSRDSjhgcHnStWKGnw45Ur\nmQYpzJxOZGaq0yCAYaC0tJRpMIExEFLMMRgMu3btUg4zMzMbPD21Q5GWhpERrzMrViAzE77r9ygA\nORPa7aOdnerTc6+55uzhw76ZUN5SePvtt8uHfqcUWixxnQnluYJLlizZsWOH2+2WT6YbDPsfe6z3\n4ou/vmGD1/9mBgOjIBGFzD083P7FL67yfMppv+yyhYcORfeSKAHpfVx++XXXcd5gYuOSUYpRmzZt\n+uUvf6kclpaW1tbWhj5p13ftqMWCvDx2dAzB6MmTs7znInzS2Xne176m++ADBw5s3LjR5enoU1RU\nZLFYvH6PQqCsDJ6No0DctB7VLBCVtwuuXbPmscFBzpMgojAT4q1LL73ygw/koz9cfPHlb78tcaIS\nhZfvmyWgfN26p/btYxeZxMZASLHrqaee2rJli7JkVCdLBEUIncIg36OHwGev+Z/PPffc999P9TPY\no7u7u6Kiore3Vz6cUiaM7SmFTqdzy5YtSuFaAozAkYwMnbYx4DwJIpou9/Bw9+LF+QMD8mHHwoW5\n/f1MgxR+KSmaEy3Nzauuuy4q10KRxEBIMU3efqa0J5nWfEIAbjeWLUN398SZrCx0dXH9XnCC7DED\nYHh4eNmyZUomNJvN+/fv12ZC3ymFbW1YvjyMFx4W+/bt27Jli1zzlID/M3fuwS98Ib2/X+eh7BxD\nRNMmhoff/PKXv376tHzYbjDk9PWlMg1SeLlcWLRIc254aIiFwSTBQEixzu12l5WVNTU1yYczkglP\nnABfXIPiLxM6HOdfeqmfr/CaKaJf79W0HkWslAoHBgZaW1tbWlqeeuopeaKGXBV8ceHCJR9/rPMF\n+fmoqYHRyChIRNN0PDNzuedT0bcWLLji3XeZBinM9AbQu06fNvhZ+EOJh4GQ4oDb7a6oqFCyRGlp\nqcViCf3b9fdj8WKvMwYD7Paop444IwScztGPPprlXcRre+65FRUVfr7CKxPq1Anhp1QYvV2FLpdr\n8+bN6rZG8oj5p2bP/rqmWRFUq0PT0xkFiWia3MPDv/vKV77+4Yfy4Ruf+9xX33lHdwAs0bT4rBQ9\nXlu7fDqDoCneMBBSfAjnzHp5xk5/P9as8Trf0YF587jRK1hicFCaP199Zuf119/3i1/o/k1OqU4I\nwGbTlh+jUSr0nSsoAVagwPehXB1KRGEl3O7fffnLV3nS4FsLFlz2+99f6GdZPlGI9GqD37n++l8c\nPMj3QkmFgZDiRphn1vt0Rhlnt8NoDP3bJiXfTAgAVisKCibNhH7XAEevVNjb29vY2Pjwww+rZ2BK\nwD/ffPO/Pfec9tGMgkQUdkJ0L16co14pevKkv8ZdRKGQPxz3eSO0Zpobcyg+MRBSPHG5XLm5uQOe\nTmunp7PAXX4qHB5Gbq7XeYsFRUV8cx80vV7V/jKhZg1woP6xvqXCDRswY9OQXC5XdXV1nXcKTTcY\n9tx7b/Hzz6O11evR2dmor2cUJKIwE+LUlVde2tUlH702d+6Vp04lSRoUQjinMCU4PT099JbjBL+N\nAL5z/fU/ef55psEkxEBIcaahoaHCs0XNYDDs3r27vLx8Wt/RdxxFfj6sVm4pDJoQn3zhC+d5WuGN\n858JNb2CdPYTer6ttlQ4M3XCoOcKnj3LKEhEYSbEx9deu7CtTT56be7cy99+e6GfZl1xJCXF7xtO\nJQQKITZu3Niq+ehNT35+/t69e+XckpGRIXFxY7D0Fkkdr61dXl7OlaLJiYGQ4o/vzPqampppfaDl\n23oU3FIYEt+GPfA77FEIUVJSomTC9PT0jo4Ov8uANaXCoaEwJnabzbZ9+/b29nb5cPK5gvy8gIhm\nxnBJSZpn9YR11qyLXnvtiquvju4lTVOKd8MS5W2nnAPdbvemTZumEgL9sVqtBQUFzIRBEOKzrVvP\n+fnP1ef++oc/zL3iimhdEUXdOdG+AKKg7dmzp76+Xlks2tjYWFZWJg8DCFFqKjo6UFzsdXLpUmRm\nQne+HPljNI42N2vOjRUUQO+3I0mSxWIp9vy1DwwMLFu2TEllWoWFsFonDi+4ADbb9K/XZrOZTCaT\nyST/XAlYNn/+B5df3gfopMH8fHR14dgxpkEimglnDx9W0uDRlJRP6uriOg2mpKSk+LSvlE/29/eb\nTKbMzMwlS5ZMJw0CMJlMra2tQojpfJNkIQT6+8fy8jRp8OyhQ3O/8pVoXRTFAlYIKV65XK4VK1b0\newJbenp6V1fXtGbmCIHeXu2Wwnnz8N57DABBEGK0pWWW2aw9f+aM7rBHt9tdWVnZ2NgoH6ampu7Z\ns2fDhg3637yy0mvtaKitR+W2MU888YR6gagx8FxBdo4hopn06csvn3vDDcrhLx599Dtbt0bxeqbP\nNw1OhXo5qC9/y0pZJ5wSvZWin7700rmrV3MxVJJjIKQ4pulXOVNbCgF0dCA7m2Fgqvxlwg8/hJ8V\noffdd9+Pf/xj5SPebdu2PfTQQzov7dNuPappGyNvFJSA31x4Ye6f/qR9NOcKElFEjN5666zaWuXw\nsZtu2vLCC1G8nulLSUmRn2D9GQDcntvqEDhpwxghRGtrq8mnIQoz4ST0Jkz8+Xe/+9wVVzANEgMh\nxTchRFVVlbotZBi2FOpuhMvJQVsbS4VTJcToqVP3VFf/++HDXuffew8Z+u8QGhsbKysr3e7xdwiF\nhYW1tbX6WwpDnVKobhsjlwT36g4VBEuCRBQ5o0ePqj9B2qGpgwAAIABJREFUe+ULX/ibd9+N4y6a\nQsDpzMzMNAJW/49qBx796lcf+OlP586du2jRovPOOw/AFPft+8uEdrvdyMFReoTbLc2ZoznJfYOk\nYCCkRNDQ0LB582aXyyUf+h1tN0X+JlLA77pH8ufY4cMrb7zR65T/SY+9vb0lJSXKMuCMjAyLxZKf\nn6/z0GBKhb29vXV1dQ8//LCcNhkFiSh2uIeHU1Uze7ZdddWDra1xlgblF03l9saN2iE9U2e1jr9A\nTJYMdTMhi4S6hBCST23w7KFDc9asYW2QZAyElCA0WwoBWK3WwmkOJxACJpP2he30aSTHPKhw0cmE\n8ku+3uv98PBwZWWlsgx4ki2F/kuFAwMDra2tLS0tNput29M/Vo6C+2bP/vrIiM53YxQkoshyDw93\nZWUt++gj+fCuq6/e0dISN2lQyYEOh+9Eu+ny/zKh+vk6mZBFQg3d2iDsdjZRJzUGQkocmi2FAEpL\nS/fs2RP+TjMnTiAnh7Fh6jZVVu7RVPPgd0QhgO3btz/66KPKod8thdApFY6sWvWtBQtqLRb1owJV\nBblRkIiiQZMG2y66KLe/Pz5mgstRMJgcaAIcnttSgDUaGpPFQt9MyECopp8G+c6ffDAQUkLx3VIY\ntk4zmuUW3FIYJJ06IQJlwrq6uk2bNinTRAJtKYS2VNgMlHjaFchRsG7OnKvOntV+FUuCRBQlwu3u\nMBqVNPjWggVXnDyZGhfLT4RAa2vgKNgObATU44acgHouhASM2O3jB5MGy4Cx0OFwZKo6Z3Z1deXk\n5Ez6h0hwQsDpHP3kk1m+Q4D979qgZMZASAnIZrNt2bKls7NTOROGTjPDw1Bt8xjX0YG8vNC/Z5Jp\nOXr0MrNZ21LGfybs7u4uKSlxOBzyYYAthb29vS/+5jdf++EPb/CsBbUB1cBNN9/8/c7Oz7/zjvYL\ndu1CYSGjIBFFhaY2GAdpUFkdOtkWQbkSOADk5Of7nSurGk/v9c0DJ8OeHvjGG58iYX5+/rFjx+Jm\n2e1MCJDYuVKU/GAgpIQV5k4z8LOlkNEiGNtKSx/17aXu52UewODgYEVFRbNn2L3vlkL1GAkJsADF\nga/AYIDLxQUzRBQtbrf7jcsuu/aDD+TDWE+DU1sdqqwIdQL1FkteXp48PcLfKEL9N5+Bf5bBAKsV\naWm+kUYIIY+nlw+TetWonzT4F4fj/EsvjcoVUXwYI0pcp0+fzsrKUv8Pf//993d1dYX+HUdGxrq6\nxgDtf/n5Y0ND4bvwxDUy0vHYY5q/vc8WLgz8t7dt2zb1L3Hbtm0jIyNjY2P19fUZniEW8tLQbN9f\njfp31NU1dvZspP6oRERaIyMj96xYoTwvvblgwfDAQLQvyo+RkTG7fcxq9fukCowBhYARkPOZ2Wwe\n0nsyD+4956Q/12odGxnRfFFfX5/yU+x2+7T/8HHLbvf9G4vd/8coZrBCSAnOt9MMgKKiovr6+mnN\npVixAr6LYTo6MG8e12NMwt/Y+oAjPTRbChXKZPlJWhTs2oV//EdWcYkoitxu9wOrV/+orW3izOnT\nsVgbnKwqqN4iKG8OLCws3LVrV1ZWVtjWaga+Bp+9BuqdhElaIRQCTmdnY2Peli3q0xw2SFNxTrQv\ngGhmSZJksVhKS0vVJ5uamsrKynzTxdS/Kdra0NeHAu8MsnQpMjOhGn1BOiRp1qpVo55VoBPmz8fx\n43A4IITvFxUWFm7dutXr2wBZgBWwA32TNqyrrkZlJUL+jRMRTdsbl1+uToOfvvRSzKVBIeBwoLUV\nmZn+0qAJWAl0Aw7AASwvKLBarVarNScnJ5w79yQJRiMKCmC3o68PGd7bz+XtG3ovFklKiNGWFmRm\natLg2UOH5n7lK9G6KIojrBBSspCnk+/YsUM5k56e3tXVFf6hFPPm4dgx3X0ONEGI0VOn7qmu/vfD\nh7V3qT767e3tbWxsfPbZZ5UWQVMqCebno6YGGRnYtGmKw+uJiGbUnm9+c9MzzyiHYv16qbY2itej\nNYW9gvJGQaVfqFwVzM7OjsQg+P5+LF6sPal6sUjyCuHou+/O8t4gA46ep2AwEFJy0awgDdtQiszM\n8SZpav57pZDC3zgKV3Z29ZYtdd5xTi4JavuUKnQnCvofXh+OyycimlzT3XcXPfywcvjpSy+de/31\nUbweL8FHQQBWq7Uwkh+u+euc6cmEyRwIhdu9Pyen7N13vc767+BN5IuBkJKO76zCtLS0e++9d/36\n9aG/hOh+eAmgqwsciDSZN19/vW358ju9T968aJHl9GmhKglWLVr0f0+f9v3yduA/ly17+IknFuXm\n6u8S9BleD7MZFgszIRHNOCHOFBfPf+kl5cSfGhsvXLcuilc0YQpR8Hu5ufu7utRRMAwtu0PjLxP2\n9SErK2kDof7oeaZBChIDISUpzVAKWUFBwc6dO0P51FN+WZXnUmhKhXv2YPlyzqUI7Hs33fTz/fs1\nJ9cATmCP/6WhXeedd+snn/QD7oBTCsdpSoXMhEQ004T45MYbzztyRDkxWFw8z+e5Lmr8fZQJQK8q\naFHNk4jI9fnQzYR792LDBofTmYSBkGmQwoVNZShJlZeX9/T0aBaLysNty8rKNEFxcvL296wsWK3a\nuzZtQm4uVq5Edzfc7ulddWLq7e2dn5vr+wH1EaBHNw3m5KCrC3b7l06dSjeb5b9Tp9O5cuXKffv2\n+f0xhYUYGUGxZ05hczPKythmhohmzuitt6rTYNuPfhQraVAI9Pf7Kwz+y4oVmUAr4PCkQXmeRGlp\nqdFojObMd0lCQYH2dXbjRrS2poyORumaImp8rqMQcDhGT57USYN2O9MghSKqQy+Ioq+np+f+++9P\nT09X/7swGAz19fWhfDt5gFJPz1h+vs70pLy8sa6uMbvdd4ZSEurp6XnooYfy8vLgaRn67YDTrvzN\nEvQ3pVDfyMhYcbF2pBURUbh98tJLyvPMEeDJRx+N9hV5XqH6+sYKCnSfY4/t3Gn0DBVU+JsuGDUj\nI2N792qu3GmzKReceHMI1b8OCSj09xJJFCr+30M0zmq1yuFEkZ2dbQ05LYyMBHjRHbNak3NC+ocf\nflhfX3/nnXfm5OTAM00+Czg2aRQExvr6/P2l1dbWqje0FBYWfvjhh34vwjcTlpaOxdTbHSKKc+o0\nOAZ8/7bbonxBk017v2fFCk0UzM/P7+rqstvtZ2Pw1aqvT3P9px95RLn4RAqEmiqOvzQ47HBE+0op\nvnEPIZEX372FBoPhjjvuKC8vzwmhPYw806mxEdu3a+9SWmImwXQKzfSIqU6T17Db4X9bSHd3d0lJ\nicPhkA8n2VLo22YGnEhBROExtmFDytNPK4d3XX31jpaWaO67C9A5Jj//xHe/e/M//IN6ryCA0tLS\nmpqaKHSOmSK9zYSZgANAYu0hHF8j6mEE7D6P+cvAwPkXXRSpK6IEFe1EShRzTp8+rTuIIjs7+/77\n7+/q6grlm/p8nJkM1UL1olAEVQ80GHxP/vXQocCrbc+cOWM2m5XfV2pqak1NTaDr8/2wnKVCIpoe\ncfy4+lnlpc9/PpoVtpERv1VBg+H9l166yWf6RUFBQehLYyLJZ+FosafCmagVQgl4xPf3mEB/WIoi\nBkIifQGGLIWYDANkQr2tcfErxBwo/yXY7WN2u/xXcXzfPp2HBXzxGxkZufvuu9VTkiffUrh+vU5E\nJyIK3tmhIfWTSXVu7pkzZ6JzKZOtEf37q6/WvLQVFhZ2dXUFesKMNT6vqlmJFQjVr6E5er/EQoAt\nCSgsGAiJApFbzvhbLFpYWNjW1jbV7yW/PMsb+jMydF6hc3ImElEcPsVPNwf65uGREdHcrHn8yN13\nT1rE06x0KioqmqQjAkuFRDRtZ4eGji9aFBNpcCzQR5APrF5t9OkcEx9VQQ2f+qc54QJhgBYyhYAE\nvo2n8OAeQqIp6e3traure/7557u7uzV3hbLJMOD0JwCwWrF8eSyPLnQ6nUIIAAMDAzabTd4fKG8O\nBJAacH4goNpCmZ4e6I8pxKevvHLuDTdoz3d0YN68ANsvOzs7Kysre3t75cOsrKzDhw9nZWUF+EE6\nw+v374/lXwERxQ734GBXdvayjz6SD1sNhvz33ovCvkF5x6DbjTVrtENxgff37funn/2ssb1dvV3Q\nbDbv378/msMkpkMINDaiokI5sfyqq2ytrfH6x/GWkpJi1Ns0CCDTMyKSb+MpLBgIiYIjJ8Nf/epX\nTp/X2uzs7FtuuWVKyVB+zQbgdqO5GdXVOo+ZYmTSk5IyU/+0ddvDyKbUJCY/HzU1SE0N4g8lxGhL\nyyzV5sAJqvG7vn/kwcHBioqK5uZm+XDevHm7du3asGFDoJ/V1IS1aycOi4pgsTATElFg7uHhrqws\nJQ22z5u3uLf3wgj3+QjcPAYwAa3enWOiP2g+LBobUVamHL1z8OBXbrwxipcTTkI8Onv2Nu9zcwBl\nojHfw1O4MBAShchms+3YscOmmn2kkJOh2WzOyMiQJCkjI8P3MV4CFwwNBuzdi5ycAD02FZqOZNP5\nB67UAIeHh3t7e19//XWbzdbe3q6EwCDahE4j3AKAEKOnTn3/ttseb2nR3mW3p2Rmqk9o/sjbt29/\n9NFHlcO77757586dUoC2rkKgrAwHDowfms2wWBCzrfaIKNqE2/3ml7709dOn5cO3Fiy44t13U+fN\ni/R1+H8d+ZcVK2rb2tR9RM1ms8Viid0mokFpbsaaNcrRR/v2XfTNb0bxcsJGCMyerTm3BOhVHfI9\nPIULAyHRtARYSqpYvnz5unXr1q9fH6gRtl4Tba09e7B8+UQ48V4wqYmCimD/jWtqgAihDKiYZg70\nJoQoLy01Hzx4p+rkGqDZ55GaP3JdXd2mTZuGh4flw8LCwvr6eoPBEOAneWVCcCIFEelzu92vf/nL\nqz78UD58a8GCK06eTA3w9BJ2cmFQCJhM2jWiBsNoc/P/84Mf/PqVVzRrRBMnDUIvCcf/O9tjhw+v\n9Klz+tZ4+R6ewoWBkCg8ppIM1ZVD9fnxKqKyjlQIbNyI1tZJfqTVOl4zTE9Haqq/QAi91wyl+qdQ\ntgJ2d3aqLy7oaYFKCPRc2NS/dFJCiO/ccMOvXnlFfXI78CQw7P1IzR9ZM6XQYDDs3r1bd7iI8pO0\nmbC0FDU1LBUSkcLtdj+wevWP2trkw46FC5f09kYuDU62RvTo44+b75z4AC0/P3/v3r1paWlxv0ZU\nQ4gnliy5o79/4kw8v7MVQvzDrbf+ur5ec17ZNCjju3cKLwZCojCbSjL0pcmKKaOjsz78UALS77ln\n8mSYn5/b3j7sc1p58bDbxzely6mvoa7u49/9Tvc7BR3/4J0AEf4QqCHc7o+ef/4Sn62AS4FB1R/Z\n95ltcHCwqqrqgCrjlZeX796922+pkMPricg/IcSDZvMPVevYIzofPOCikgRfI+rN6XRu+eIXvfJT\n3L6zFUL88+rVPz12THtH3P6JKF4wEBLNFLkKNzAw0NTU9OyzzyodL4Py1csv/8eiooLly3N+8pPU\n9vagvtYEOHxOhhL5fM1kGXByQpw9cmSOXtsA9Yoa3Se3hoaGzZs3u1wu+XDyUqHNpn3LZTZj504s\nXx7y5RNRAjiRnb3s5Enl8NOXXjrXZ8j7jPBfGBydP7/lhz+87fvfd3ovLCwtLdUM40kkDodje2Zm\nAgRC4Xb/atmy7/h+lByffxyKLwyERBESWuVQIW/kMwLWcF/YlES2DDg5ITJnz04DunzuUTKhvyc3\nl8u1efPmhoYG5UxxcfGePXvS09P9/SydUiFXkBIlsRd/8IObHntMORytrJz1zDMR+tn+m8doOo4A\nKCgo2LlzZ2FCr2t49+TJJ7OzH1GfisN3tsLtlubM0Z49fRqR3I9KSYyBkCjSdPfvNTU1TSUrqvu7\nyIelwCN+Hx4qZTiEIuoJ0JuyYVIC7gf+1fteOROOBHxy05QKMzIyLBZLfn6+3y+w2bBjBzRNZbmC\nlCj5dP7sZ3lbtiiHf2psvHDduhn/qQGax+itES0sLNy1a1d2dnagpsrxTwhRuWJFvXr5TEcH8vKi\nd0Wh0E+DQ0P8zJEihoGQKIZosuIUg6IRMHpupwKHp/KTNBU/jRiLf7rUTXTygA7ve03A452dX/3a\n1wJ8B5fLVVJScvz4cfkwNTV1z549kwwq9F1BumEDamqCunIiil9DpaUXvPCCcmj/r//K3LgxEj/Y\nf2Hwe7m5u7u6lFeOZKgKKhwOhykzUxnd/tmNN57z9NOI/MyP0AgBp3P0k09mZWdr7zp7NvZfhSmR\nMBASxQHfoqJGpmcWn6aEKFOaykyIh8gXmKarqm4m/NemplnnnWc0GgMM/NAMKty2bdtDDz00yaBC\nzQpS1gmJksPZw4fVu5ffN5ku8W56HH4BC4PyRnGlMCj3EU34qqBaf39/xeLFXk/+8fK2NkBboHj5\nI1ACYSAkShBBjZ1IDJNmwkxPW51t27atWrUqJydHNxn6Diqsra31u6VQ1tSEtWsnDpkJiRKde3g4\n9YILlEPL975X9h//MYM/L2DzmH/IzHz1rbeSpI+oP0IIk8lkaG21qM/Gy+udwwHPJ7mKvzgc5196\naVQuh5IcAyFR4tDNhIn9bzxwJjQBNu/H79mzZ/ny5fJ7poyMDOVzdM2gwsm3FMJn+SjbzBAlLuF2\ndxiNyz76SD587KabtqgWjs7Azws0VcK3eUwSpkEADocjMzOzHJhoMRonGwhbjh59b8OGDQMD6pMR\nHVtC5I2BkCjRKBkpef51e/2ROzuxdKly11Kg089XWa3W5cuXKwOaBwcHKyoqmpub5cMpbSmsqsK+\nfZpvylIhUYJxDw93ZWUpabDtoouWOhwzO9tdb8fgp5/73FV//vOwzxrRBJw1PzX9/f3LFi/erx6k\n1NGB7OzY3RAhxOipU9v+6Z8eU03EHdfTA9+dhESRck60L4CIwmzMI9oXEjlef+S8vFFVx7kOoPau\nu3S/ymQyrVy5sru72+12A5g3b96RI0e2bdsm3+t2u6uqqrZv3x5o92ZNDazec0BMJpSVwbP6lIji\nnSYNvrVgwdLu7plKX0LA4UB/v25t8Gt//nM34PCkQbPZbLVa5ZXwSZgGAVRXV2dpxurec0+0LmZy\nQoy2tMzKytJJg1YrsrKicU1E41ghJKJE5F0n/ODgwbfPPXfNmjW6j83Ly6upqcnKypLfVAW9pVB3\nUCFLhUTxT7NS9K0FCy5/++0ZXNfnp5WopnmMPFJCecpKTjabzWQynQEmOoqmp6OnJ0ZbjMpp0GzW\nuctuR0YGkqYPEMUmVgiJKBHl5aFjYjvhF/72b80Gw9jYmFVT0AMAdHZ25ubmKtXC9evXt7W1Ke1n\nbDbbsmXL2tVzrjQkCbW1LBUSJRi32/3aZZep0+AVJ0/OSBoMWBiUB6s6AAEUFBRYrVa5MJjMaRDA\njh076tVpEIjRxaJCwOHQT4NDQxgbg9HINEhRxwohESUu7zohOjpETo7T6QQghGhsbNy+fbvmK+Q9\nOVlZWW63O+gthb6lQrMZFgs7zRDFHbfb/cDq1T9qa5MP5TSYajDMyA/TKwy6ABOg7BhMwpESATid\nzqYvfvEfNWfPnIm58mCA5kDcNEixhIGQiBKaTyZU96Dr7+9frLdAS4mF9913X3BTCuHTfZSZkCje\naNIgZqgDZMAZg+pWosnZRNSflJQUR3//6awsrzbQhYU4fDi2KoQB0qDVioICFgYpdjAQElGiC5gJ\nhRAOh2Pjxo2tra2ar5NjYXt7e3V1tXpLYX19vSFwoUAIlJVB6RzATEgUP4QQr1566eoPPlDOfPrS\nS+def33Yf4xuWtAtDCb5dkGF3FBaAg4D2vWXZ8/GVhoEXn/66a/rLiphGqTYwz2ERJTovPcTYulS\ndHbC4YDDASEkScrKyrJarX19fQUFXv3q2tvbc3Nzn3766SNHjqi3FC5ZsqShoSHQT5QkWCwoLh4/\nbG7GBRfAZgvjn4mIZoLb7b73mmvUaXC0sjL8aRDQnTgPYCUgtxLNy8/v6uo6duwYtwsCSElJUcYL\nGb3T4Nhll8VaGhRCbFi//hLfNGi1wm5nGqQYxAohESUHTZ1QZrfDk/QQsFq4d+/en/zkJ93d3cqZ\n8vLy3bt3ByoVauqEAAoLcf/97D5KFJt8V4qGvzboZ5mopjDINaIaShoEcMQ7EH4ReC+W3soKt/u7\nN974//o2MGNhkGIYAyERJQ3N7j7oD4cIEAsBpKamynMLARgMht27d5eXl/v9iboTKUpLUVPDFaRE\nsebVSy+99o9/VA7PHjo0Z+3a6X/blBTVey0/gyXkHYMFBQVbt27Ny8tLzkHz/ihpUAKMQDHwmOeu\npUAnEDtvZYXb/c4ll1zxv/+rvYNpkGIbAyERJQ2HA5mZ2pMWC/Ly1HVCmRwLq6urm5qaNHcZDAaX\ny6UclpeX7927N9Bn+TYbduzQLhnloEKiWLLnm9/c9MwzyuFoZeUs1WFo1EkmA7D39en2jzEBvQbD\nEauVTUR1qReL2r3vkoN0jLyVFW63NGeOzh2cNEgxj4GQiJKGvFgLwOCgdvmo3fM2w+dl22az7dix\nw+azA1BdKszJyamvr88O3EPctz7JUiFRbPj1f/3X3992m3I4/ZWi6iWOElAA+I5AVS8T7erpmeQJ\nJFmp/yazgD7ve2MnELoGBgwXX6w9OzTEZ3iKCwyERJSUfOOZzE/hzuFwbN682bdaqEhLS6upqSkt\nLQ30Q3VXkLJUSBRVv3vzzYEVK24YGZEP/9TYeOG6ddP8noFjjGwJkJafL68vyMjIYG3QH+Uv84z3\nJPolQD8gYiAQNj3+eFF1tfZstK+KaOoYCIkoKekuH5VZrTAafReRArDZbCbdGOlx991379y5M7hB\nhQA2bEBNzSQXTEQzYMDp7MrKWvPJJ/Lhn1ev/tzRo9P8nsp0hAxAAqxAhupeuTCYmZv7UE3NZZdf\nzr2Ck5qdkpIB1ALLVSfnAG7P7Si+lX3z9ddfufnm7aqtp+P47priCgMhESUlZfkooJ8M+/rgdPom\nQyFEVVVVnabKpzLVQYWaUiHrhEQR5x4efvNLX7rmzBn50JWXZzh2bPpr/FJSUvwtEwWwBKjv6uJo\nwanSG9iYC3SrDqPwVlaI0VOn7tq69dEXXtDedfo0Aj//E8UeBkIiSnryTEJ/pT+5e7h3MvS3sVA2\nefdRz3fx+qHMhEQRJNzu337+86uGhuTD9y6//Ivt7dNPg3I5y+gnDZqAVmCEb72mTm81Rybg8NyO\nThpsaZllNuvcxU2DFJ8YCImIAEwWCwHs2YP8fAwOKuEwcCycfFAhfDIh28wQRYRwu9/80pe+fvq0\nfNibkZHd0zPNf3pya+L7Kitr29s1d2nGDPKt15TI6zj6+7Fmjeae2YAAEPm/SSHgdI6++65+Gjx7\nFqz6UnxiICQiUvHXbEZDVTZ0Op2tra1PPPGE79zC1NTUmpqaSUqFVVXYt8/rTFsbli/382gimi63\n2929eHG+Z9F4x8KFS3p7U6exzE8Icerdd+/esKGzvV2zY1AmN8OU8X3XVOnVBpcAJ86cSZs3T/cr\nZpbe4tVxLAxSnGMgJCJSUfYWBq4WKlRlQ5vDoVswLC4urqmpmRfgHQwnUhBFintw8I2vfvXaDz6Q\nD6eTBoUQTqfT7Xbf/o//mPLb3+quEYVnmajwHPJ911T192PxYvWJC4Da/fuLi4ujcDFC/PGZZ770\nrW/p3NXTA44MoTjHQEhEpEfddUYINDZi+/ZJvsRqBdBy6lTht7+tuSc9Pf3YsWNZWVmBfpzvRAqW\nConCSgjx2qWXKmnwrQULrjh5MoQ0KEdBh8OxxmQKvGPQ4VkmquD7rikZGIDPWD9TYaHV6i93zxgh\nRk+d+uG3v73TZw0IAFitKCjg0HmKdwyERERTI28yBCatHH72i1/c3dhYf/iwfCi/HZQkae/evRs2\nbAj0lU1NWLvW6wxLhURh4na7d65b928vvywfvvO5z13yzjvnX3RRCN+qv79/8eLF/lqJji1cmNLa\nmrlkCaNgiITA7NmacymA1WotjHDnLf/9Y/7U2Hjh176GjAymQUoADIREREGSk2F6Og4cmLxs6KkS\nAHACRcXFFosl0KBCDq8nmgFut/uB1at/1NamnPlTf/+Fl10W1DeRC4NCCJPJNOB0+hsswTWE0+In\nDRZGozw4evLkLN1fJQuDlFgYCImIpsHhgM2GjRun8lglGf54375bvvlNzb0pKaonZJYKicLH7Xa3\nZWWZ3n9fOfPpSy+de/31QX0TIURra6vJZAIQYMwgo8K0+EmDiHB5UO4m+sknZ/LyDG639l7+iinh\nMBASEU1P8LsNTcD/N3fur371q+Xl5Sk+737Gn5Z9S4VmMywWZkKioAgh7r3mmoffeEM5M1pZOeuZ\nZ4L9JpOnQasVRiPXEE5LSor2BACgtLTUYrFE7jJ8+tmM46+YEhQDIRFRuE25bKheTaq/10jTgJSZ\nkCgYbrf7/lWr1Gnw0+efP/fv/i6obzLVNMiq0XT4rw2azWaLxZIWqec94Xb/eeHCBX/9q/YO/oop\ncTEQEhHNgCDHV5iA44B6ZdLEk7MQKCvDgQMT93FLIdEUhGWlKDwtZMA0OHP8p0EAQ0NDEUqDQoy+\n+67vpsG/vv763M9/noVBSmDnRPsCiIgSkSTJY+tRUAC7HXY7ArZDsALHgBzACBgBrzcdkgSLBerR\nWyYTysowPDwjV06UEIQQPy4qUqdBsX59CGlQLg+CaXDm6KVBZSC91WqNWBocKSjQaSFjt8+9+moY\njfwVUwJjhZCIKCKCqRnKBcOz6udndh8lCkZ1dfU3Hn+80HMYWm0Qk02YYBqcLj9pUF5FH6Gtg0LA\n4dDfNGi3szBIyYAVQiKiiPCuGWYCAUKhXDBEdzeUBneShNpabZmRpUIiPU8++WR3ONIgAIfDASCD\naXAm6KVBU2Ghw7OnuqamJgLX8Kcrr/RNg38ZGMCMBthbAAAgAElEQVTYGAuDlCQYCImIIkuSYDTa\nx8ZagUwgE1gM+LYlzQeQm+teuhT/P3v3H9dWfe8P/IWmmip9jG7pxIkaLFWYoFSp0hVsYqnSCTNs\n9ArfC5vdlXvlKrey1U1t+2079Va/rdMN/aLfqrjBBl7wEkdd6YwmvWUrm7jiLY5oo0SNM1vZZLdx\npHIq3z8OHE5OTkKAhPzg9Xzsj3M+OTk5tTjz5v3+vN8DA3A6JyJDgwFjY6iomLrObMaSJbDZ5unh\niWKezWbr3LxZit/G1qyZdTQIYGRkRANk+L/AaHCO1KJBm9Vqm/x/s3koFhW8Xixa9Lljx5QvjI+f\ne955Ef1oopjCgJCIKDoEwAk4AQewN0DCUGu3IycH6ekoLJxIGAZKFVZXz8MzE8U4h8Nxorj44Kef\nSiuLHnhgjvfUAy8rlhgNzpHH4x8NCmNjxslyeoPBEOmpg6ffekuzeLFi8UO7HdxLRQsPA0Iiopgg\nJQyz1BKG6OtDTg4uvBADA4BaqrClhXlCWuA8Hs+/33DDxlOnppaqqua4zzbp9OkCxRKjwVkTd+vZ\n7ViyRPnK2FhZWZl0umPHjog+xvHNm1X6x4yPX3DZZRH8XKJYxaYyRERRk+Q3hVmSARwP9Nq+fcjP\nR3IyUlPR2+vTooZtZmih8nq9/3LZZT95//2ppXD869D9+OPFdXU+S2NjjAZnQxDQ06PeUmt8vLKy\nsm2yaVZEe8l8/NprS6+5RrH4idN57sUXR+gTiWIfM4RERFEzPj6u+K3cli1bxAMHsGhyh2GP4m01\nNRN1pBdeCJ3Op3yUbWZoQRJHDoY9GgRwzp//7HNutTIanI1A0eCJExgft9lsUjRYVFQUqV4ygtB/\n220q0aDbzWiQFjgGhEREUTYus2fPntbWVrGVgjC5w9AIrAD6/N85PIycHDgcyM2dWmSbGVpgBEHY\nsXatfOTg6crKcKXKtVKnX/HO558fltsuOC6XSjR48iR0OgC7du2S1jo7OyPRS+b0W29h0aLcZ55R\nvjA6yv4xRAwIiYhiS0VFxZEjR/R6vbQiAN60tI1paSrZQgA1NejvVy4yVUgLg9frNZWUPPy730kr\nnx48eObPfx6u+y/zjQBdTA/OgiDgiSeUi4ODSE4GYLPZIttZVBA++/GPVXYMnjyJ8XFotWH+OKI4\nxICQiCjmZGdnHz161GQySSsulysvP39Hc/NdV16ZHihhqMBUISU6r9dbUV5++8GD0spcRg76EwTh\nL77tT/QZKhMoKBhxvMTevT6LVisyMgAIghDZzqIOBxYtOmPzZuX66CgiPNOCKI4wICQiikUpKSmd\nnZ2dnZ0pKSniSkdHR319/Z133bWnvX1Ep1utur3Qn9EIo5FhISUeQRBuraq67aWXSqSVkpIwRoMA\nNBrNd378Y5tsJRdYlJQUpB0U+VAbNihv07pp0yZpOcydRQXhsx//OODEeSYGiWTYZZSIKKa5XK76\n+vqOjg5ppbi4eM+ePbt27ero6NAAaYAGaAKUzfEVTCY0N/OX4pQw6urq1jz+uDR65bPrrz/jxRfD\n/hMuCMKqRYuOylbSAefkMb9EqRMEuFwQBP94DENDSEsTo8Hq6uqWlhZxOcydRQcGkJPjv+w5cSJZ\npwvbpxAlCgaERERxoK2trba2dmRkRDxNS0sTWy+0tbW98MILAwMDGkAPtAJ5Qe5SUIADBxgTUgJ4\n8sknn6+tlRrsRigaFC1NSrICUuMmeUAIxoT+go6XkA5tNptULFpUVBS2XjJ2O556Co89plg+/Mtf\nFm7YEIb7EyUiBoRERPFheHh4w4YNfX0Tmwe1Wu2+ffuqqqoA2O32tra2Rx55xOvx6INnC1NT8fLL\nyMhgxRTFL5vNtvvGGw9++unU0smTEYoGxerQXEBKEq4E5E2c+D3KR5DxErLUnCAIi2SlpCdPngxD\nNCgIePJJKIZGAgD+5nZ/jq1EiQLjHkIiovig0+lee+01aVCh1+utrq6+++67BUHIzMzcuXPnyZMn\nW9vbR3Q6Y5DthW43cnKwahUGBuDbT58oLjgcjhPFxT7RoNUa6by3U5YV7ARSIvphcUoQ4HSqR4OT\n4yUmLxTKysqk066urjBEgw4HFi3yjwYrS0o8J08yGiQKjhlCIqI409bWVlNT45kcKWEwGNrb23WT\n37eGh4dra2vl2wtbFi26dmxM5UZ5eWhqQnIyUlOZMKS44PF4/u2KK54dGppaqqpChOaYT6YHRYGS\nhPweBQQtEx0chO/Ih8rKSmkMfRi2DgZIDOYATxw8eF1YmwwRJSoGhERE8WdgYKC0tNTpdIqnOp2u\nsbGxvLxcusBms9XX1/f39wMQtxc2A/mBbpeXNw85FqK5+/6118pHDsJqDdcA+kCkmDAFOAroAQBO\nYCUg7ujl9ygAcDhU+sfAp6GoKMxbBwN87k3XX//8iy9GYsA9UUJiQEhEFJdGRkaqq6v3798vrZhM\npoaGhrS0NGmlo6OjtrZ2eHgYk2FhsK4zR48iJYXZQopZv7/88qv+8Iep88hHg5AFhBqgBJCSWVKS\nkN+jIAhIT4fLpVwPGg1iLlsHBQFO52e//KX/gMElQEFxcXt7O6NBotBxDyERUVxKSUnp6uqSF4ua\nzeasrKznnntOuqa8vHxwcFDMHAqAA1gFlAa648qVSE9HYSG3F1IM6ty8WR4Nnq6snIdoELJ4TwDk\nwcdRIE31DQuNOGlQEQ1arRgakkeDgiBUVlbKo0Gr1Tr7aNBoxIoV/tHg9i1bDh89euDAAUaDRDPC\nDCERUXyTNg1KKwaDobGxMVO2b0dqQyruPNQArUC5ys0mcXshxZI3Xn/9yryp3PbfzObP3XzzvH26\nfCfhy0DR5LEX+OPBgxddd51mAf47EmTSoF9iUOwiIy9nqKqqap7dzs8ANaKcKkE0FwwIiYgSgbw6\nFIBGo9m6des999yj9f2qKr/MAFj9b6QgRoYcU0HR894777xzxRXX//3v4unQs8+mb9o0z88gxYRa\n4AQgTz99aLFcsG7dPD9PlAVpISObOy+Rd5EBYLVaDTPN7ootTLu7Fc1j7gZG8vMf7eriuHmiuWBA\nSESUIIaHh+vq6jo6OgRBEFf0en1jY2NxcbHispqaGrPZDEADNAMV096aYSFFiWdkpO/CCw2TPXX/\neM01X/rtb6P1MGJYqANOyBb/fsUV57z+uiIESlhiYtDpnHbSoGROXWSkPOSmTehRmaRTZjI1Nzez\nQJRojhgQEhElFLPZfPfddzscDmmlvLy8oaEhNTVVfpnb7e7p6XnllVeefPJJQyipQsjqSPX6sD4y\nUUAHUlI2/O1v4rErMzPttdei3g7X6XSWpadLIyi2nXtu9a9/vfzyyzUJHxMGSQyePBno70VecDvj\nLjKBmpcCS4CuWWQaiUgNm8oQESUUk8k0ODh41113SV9POzo6VqxY8fTTT8svS01NLS8vb2xsHB8f\nv6O9fVlKyn7Zqw5g83XXefN8O5L29SEnZ6LxjNkMp5O9ZyhyBEF4eMMGKRocvOCCWIgGAaSlpZkt\nFun0gU8+yc/Ndfn32Ew8qolBAIODqn8vgiBskhX3zmAAvVgg6nD4f1wdkAOs+8pXPvj4Y0aDROHC\nDCERUWLq7++vr6+32WzSSlFRUVNTk3wuhcTlcn3v3/7tf3V2lsgWb1i8+PadO7/e1aVarAUAeXlo\nboZWy94zFF6CIHznuut+fOTI1MrHH2tSUqL4SD6cTqSnyxfsVmtmYscnXi9WrAhltoRI0Ugm1AH0\nQUpSAQBJgMlkam1t1fL/cIjChwEhEVEia2lpqaurGxkRZ2gjOTl53759FRXq2wbfeuONpH/4h0vf\nfltaMQP3X3JJ444d1+zbFzAsBDcZUpj9+pJL1gwNSaeftLWde8stUXweJUH48NCh8aIi6ZcrXsB7\n4kRK4rU2Cd5NVK/3byEDv2hwBlsH/SJtSTqgNxh27NjBxCBR2LFklIgokVVVVQ0ODpaUTGT+PB5P\nZWVlWVmZ2+32v/iyK6+89M03IQsXTcDr7777/W99q+jMM3tbWzE0hM5OlflvYjUpZxjSnHm93u2F\nhfJoUCgvP/cb34jiI6nQaM5bu/bUwIBnckELDC9b9rc//SmaTxUJYoQWaLaEXh/OaNDhwN13K9b2\nAjlAZX7+cxbLbNqTElEImCEkIloQFHMpUlJSdu/efdttt6l3wrDZFCVbZqAa0Op0d9xxR3l5eXZy\nMqqr1XOGrCOl2fJ6vffdcMMPDx+WVjxdXcklJUHeEl2fvPfeubIeS2+fccbZv/rVBWvWJMJkQnEj\nn9GoUiaqNlti8k0zjwYDjJQQpQNNjAOJIowBIRHRQqE6wr6pqUmv2jVUEFBdDdn0MABGwAYAMJlM\n+xobdV5vkI7wrCOlGfF6vb++9NK1H3wgxRnzPIB+dt79/e8vufpq+Yq7tTW1vDy+B1EIAoxGlX+v\nA3cTxUyjwelGShiBC9aseXL//uTY2TtKlKAYEBIRLSyKVGFycvLu3bvvvPNO9av9UoU2YBdgA3Q6\nXWNjY3l5+cQv+IOHhcnJTBhSEIIgbF2z5uHf/U5aOV1ZeebPfx7FRwqRIAjfu/56eVYTAIaG4nI6\nS5AdgwAGB5GZGfitIUeDQTvHDACVgAe4+uabn2tp4YxBonnAgJCIaMHxTxUWFxc3NTUpZhVOUEsV\ntgDVk8e33Xbb2rVrDQUFaUGyhWDCkALyer3lJtP+gwellU8PHjzrhhui+EgzIgjCX84557yxMWnl\n5G9+s2T16ig+0iypzv3bswfFxUhODlQmKqqsrGyb/H+JaXKDATrH1AE2wAHks3kM0fxiQEhEtEAp\nUoVpaWmdnZ15itmDEpsNu3ZBNsRCKh+VsI6UZsHr9VaUl9/20kvSTsFPX3jhrK9/PZrPNHNer1e7\neLF85ROX69wLLojW88yGICA9XWXHYAhfFG02m3Ey3TdNNGi3Y/t2yH4bJUkCDAwFiaKBASER0cI1\nPDxcVlbWMxm5abXaffv2VVVVBXyDbwWpf0w44zpSgKWkC5kgCFUVFVUvvCBFg0JJiaarK5rPNFvv\nvPnm8uxs+croq68uTk8PnliLviBlokF3DMpuICxatEj2ppM+0aB4f/EgcOcYjpQgiiIGhEREC932\n7dsfeughQRDE0y1btuzevVu9+yiUMeEfr7nmhytXPvWzn3k8HvlVU3WkQLCEIZgzXNDq6urWPP64\nNOfks+uvP+PFF0MJQmKQ0+lcmZ7+sf8LAUa3R1/wKfBBdwzK7uGzdVBlMkTg0YIAjEBqfv7tDzyw\ndt26mTw6EYUTA0IiIoLZbK6srPROjhA0GAzt7e26QFO2q6vR0uKzYrV2DA/LC1AlJSUlDQ0N+rS0\nYAlDsPfMQvTkk08+X1trnTyN62gQgCAILpfrs//5n0uuvFL5WmzGhKo7BkWBB0vIyStFAZhMps7O\nTuVH3Huvf4Go1DnmcbP5pphvJEuU8BgQEhERANjt9tLSUofDIZ5OFX+q8us+CpPpL489dttdd5nN\nZsW1ycnJzc3NJpNpmjpSEROGC4PNZtt9440HP/10aim0AsXY5xkZeWzp0m2K1VjrOxpox2DIZaLV\n1dVtsl5Tyq2DDgeeegp79yreWAdYACdQEPrAeiKKMAaEREQ0wePxbNq0Sd591GQyNTQ0pKWlqVyt\n1n0UVqs7M7Onp+fQoUMtLS0jIyPyF33qSBG0lJQJw4TmcDiOZmdvPHVqaslqRQLtHxMEoTIrq33y\n1ysARn/5y8UbNkTxkSbMYbCE7B4+ZaIATCZTc3PzRHQXIBQUJflfT0TRxoCQiIh8+A8qbGhouPXW\nW9WvVksVorVVjOLMZvOmTZsUYSHkvQSnzRmKkaFvrw6Kax6P59+uuOLZoaGppaoqNDdH74kiwuFw\nbFyx4qh8pb39wpycs88+O5ptZgKViVqt0OtDebDh4eFVq1Y5nU5pxWaxrF2+HAjYNkYqEHUBBWwe\nQxSDxomIiHydOHFCUSxqMBgGBwfVrx4bG6+oGAd8/me1ii9+8MEHJpNJ9T9ABoPBKl42NjY+NDR+\n/Ph4QYHyPuL/CgrGOzvHh4bGR0fn558ARcjo6Ojll12m+qOSYIaGhgAYVH+eh4ai80zHj6v/+zU0\nND42FsoN2tvb5fUCN65b98mbb45breq3BbYA2YBW8e87EcUYZgiJiEidIlWo0Wi2bt16zz33aFVr\nOFVThc3N4n4kt9st1pGazWaX77Ylk8m0b9++iQY2ISYMWUoan/xHDiZYpaic2GPm9DvvLC8qUrzk\n6epKLilRfVcknmOiRlR15EPI+zYVmwY1wLdvuOGxu+5a/NWvBnmXWCDK6YJEsS7aESkREcWuEydO\nVFRUyP+rodfrDxw4oH510FShxL8xvU6na29v97lP8IQhMJ6XN37sGBOGcWRsbOymG2/skv0lCqWl\n0X6oyBsbEywW/x/g4cpKb1/ffDxAoKwgMB4o5+9nbGysZDKC1QArly59Zfv2QLe9U5YVLCgoYFaQ\nKPYxQ0hERNOw2Wy1tbV2u11aKS8vb2xsVJ9L0d0NRfMMtR1iNputvr6+v79fvjjRdcZgmChLE5Mb\n/f340Y9gs6l8Fgfcxwmv11tuMt1+8KCUF4v3IRMzIAin33uvt7f3zqqqo76v/P2NN8654ooIfehE\nYtBoVLYSzc5GayuSk0PcytjX17d69WppTmlFamqr2x3keqPBsHnz5tzcXABpaWkBJ5oSUeyIdkRK\nRERxYHR0dNu2bfJiUWVaT84/VRggSxBo2qHKdqOhoWAJQ+YMY9jo6GhJSUmr7C/r9PXXj588Ge3n\nmlfilsJMv5/bv37jGxFJFaomBnW6Gf07MjY2VlFRoQH0gB7IABoU+z9l/zMAesBmsYT/z0JEEcYM\nIRERhcrpdNbW1nZ3d0srwVKFil2FAXaLDQ8P19TU+E8vhP/WIzHp4fWipoabDONIZWWlu61NGkB/\n2mg88xe/WBC5QRlxS6EgCNsrK1v7+hSvOvftO7+w8OzLLgvLJ8HpVEkMItSpEpO3EcrKyrr37y8A\nrEGvNAJO4Oqbb36upYWTJIjiEQNCIiKamZaWlrq6OmmYRLAR9oqYUNZmRiFI1xmdTnfHHXeUl5dn\nS8MnOOA+fnR0dDyxcaNPRJEoA+hnRxAEp9O5s6Ki5fXXFS8NPfvsl77ylTmFhWKNqOLfC50OVmvo\nNaJijes///M//9errzYBBYEvFEPB5WvXbtu5kz1jiOIXA0IiIpoxt9tdU1Mjn0xdUlKyb9++1NRU\n5aXV1Whp8VmZrrGkzWbbtWuXzW/TYEFBwf33369MGIID7mPX8PDwoYsu+sbo6NRS4rYVnRFBEP71\nhhv+n1Ul9zbLsFD8LUkI4+aTkqb57nf6lVfO9OuMKqkDbIAHAHDxmjU7H3iAoSBRvGNASEREs6SY\nS5GWltbZ2ZmXl6e8LuhEikAChYXqLew5ryIm3b9u3fZXX506T8QB9LMmCMKHv/71xQGiqT9u367L\nzT3rqqug14dyL5XE4J49KC6WEoNJSUmKNym/ATqdp99660RLS6riNzi+kgCDwdDQ0JCcnMyeMUSJ\ngQEhERHN3vDwcGlpaW9vr3iq1Wr37dtXVVWlvE4QUF2NySFmE0JIFtnt9ra2tmeeeUZRR5qSklJe\nXu7TkhSyzorTRoYsJY28Q7t2rd25c+qcuUF/gnD6vfdcLteWLVva/TYWij602ZadOnXWpZcqI0N5\nhlw1MTj5Bc8/FJRdMi7GgZ4XXvjcvn2q1zAlSJTwGBASEdFc3X333Xv37pVOt2zZsnv3bpXUwaxS\nhZNvVU8YQjVnGHrCMJT0C83cqX/4h7Pb26fOGQ0GJWYLH6mr+/GxY4GucR0+nHT69JkffbR05cqz\nL7sMDod6HAjlLk3/gFAP6AE3UAQ0TPdsHCNBlPAYEBIRURi0tbXV1NR4PGIiATqdrqurKz8/X3nd\nbFOFohmHhdMmDAsK8N3vIjeXpaRh9OmvfnXWjTdKp6Pf+Mbijo4oPk+8EMPCx+6889GBgeBXvv3S\nS5fedJP6a6Oj8p9kl8tVeOGF+slTN+AFhoLeXEwJZubl1dTUXLZu3cXLl4f6ByCi+MSAkIiIwmNg\nYKC0tNTpdEor+fn5O3bsKC4uVl46h1QhgrYknWspKTcZzpnX49EuWSKdvrp9+/U/+EEUnyfuiG1I\nf/z1rwfJFqqquPzyH/zwh+ecc454+oc//OGnzz679Le/nTYHKNoLbAHSAScwNDTEZCDRwsGAkIiI\nwmZkZKSyslI+qBBAfn7+nj17Cgp829fPLVUo6e7ufvjhh8NWSgogLw/NzdDrGRbOguD1vn7RRdee\nOCGebi8ouP/w4eg+UpwSvF53X9/p06eD15HOnTwObGpqqqio0PInn2iBYUBIRERhZrFYHnnkEUVY\nWFRU1NraqhxhP7dUYfBPFAUsJQXQ348f/QhqweRUwhBgzjBEXo/njUsukaLBI+edl+NwcFL5HAke\nz/D+/UmnT39hyxaN2x3em4txIICCgoIDBw7wL4toYWJASEREEdHd3f3II49YLBZpJTMzs7m5WTmX\nwj9VWFSEzs5ZzC6fcSmpyOlEdfX0M+5ZTRqU1+M5lpGx6k9/Ek9f+9znchwOrSL+p1kI3DzmjwcP\nfnbOORqXK7WyMsgN5G1C5VyAAAAoLi5ub29nNEi0YDEgJCKiCOrr69uwYYM0q1Cj0bS3t5tMJuV1\nilThbGNC2f0Ctp/JzMy85ZZbysvLs7OzJ5ZC2WQIjqwIpufCCwsmg/Dff/7zy//7vz93wQXRfaRE\noBoNNjTAYJj6ORQEuFynT5/+6KOPxNfFZqQAli1bduby5Unp6UE+4ejRo2IHUSJasBgQEhFRxD30\n0EP33nuvdLpjx46d8gl1IkFAWRn27584nXNMiKBhIQCDwbB7926fVqiCAIcDNTUhJQw5smLS87W1\ntzz5pHh89AtfyLLbmRucE3Gza3c36upUXp35N7dAowj5JZCIwICQiIjmR0dHx6ZNm6S5FOpbCr1e\nbNw4FRMCOHIE/rMrZkgqJbXZbAN+Df1Vet7IR34HyRkaDPj+95GZucBLSY81NeV8+9vSqffECUaD\nc+L1Yv169Z+6wUFkZs70fjabrb6+vr+/X744OjrK5jFEJGJASERE88ThcKxfv16aS6HT6RobG8vL\ny30u8o8JZ9VmJhC73d7W1vbMM8+EuslQDA693mBpwwW8yfCkybTkxRel049/+tOl1dVRfJ54Jf8d\nhH+NaHY22tuh1SItDTMZBTE8PFxXV9cm26Cr0+kaGhoqKirC8MxElCgYEBIR0fxxu92bNm2StwMt\nLy9vbGz0SRWGaSJFcDObcY+QR1YspMhQMYD+rzfc8PmXXppRxEITAnWOychAZ+fstq12dHTU19fL\nf/FhMpkaGhqUTZWIaMFjQEhERPOto6OjtrZW6jSjnioM00SK4GYTFk47sgILIjIUvF7N4sXS6cv3\n3bf+wQej+DzxR54VNBrhm7KeMDo6058fu91uNpsffvjhkZERaTEjI2Pfvn3KH2YiIgAMCImIKCqG\nh4dra2s7OjqklczMzMbGRuXAQP9UYTh2FSoEmVeRnJxcVVW1bt26oqKilJQU5TsX8MiK1y+99Orj\nx8XjJ8rL72hvj+7zxJ/A8ySQlwerdaa/+1D97QZrRIloWgwIiYgoahSpQqjm5eYlVSj7tIA5w4yM\njNzc3CuvvDI3NzcvLy81NRWY4ciKRIkMf/Gd73zt0UfF4x6dLv+jjzSsFJ2RINGg1Yr8/Bn9kHg8\nntra2paWFsU6a0SJKBQMCImIKJr8U4XwDwvnZVehXPB5FaKMjAyDwTDVhyb0yLC5eeLrfnwGh68/\n9dTVt98unf7N5eLIwZBIPyGq8ySkXxnMsHPM/v37a2tr5Znt1NTUW2+99ZZbbuGAQSIKBQNCIiKK\nPtUArKioqLm5eSIRh/lOFQJwu902m+2VV17p6elxOByCIAS60ieCDTEyRFymDRVtRd//yU8u+uY3\no/g8cUPcKBjo52HmWUFxr+CDDz4ojXIB9woS0awwICQioljhHxampaV1dnbm5eVNnM97qlAyMjLS\n19fX39//xhtv9Pf32+12//hQJbGZWJHh6IEDi7/6Ven0zzfc8MWDB6P4PHFA+hlQLRDNzkZr64yy\ngmIc+PzzzyvmCnKvIBHNGgNCIiKKLTabbePGjdLGQq1Wu2/fvqqqqqkruruxYYPPeyKcKvQ3MjLS\n09PzyiuvdHR0TD/ScBaRIWKvoFQQsGiRdNb87W9XP/NMFB8nDjgcAduHin/RM5kn4T9UUMK9gkQ0\nFwwIiYgoFt1999179+6VTrds2bJ79+6pziXRSxX6C96HRmWfIRB/aUNBsGdlZToc4tm/r1//vV/+\nko1k1IkjK1U3CoqGhmb6d+o/VBCAXq+vqKi4+eab88Pdd5eIFhQGhEREFKPa2tpqamqkLVKpqalW\nqzUzM3PqinnfVRjEtH1oZtmEBjEQGQrCH6+99ku//714xraiwdjtWL8+YFZwhsMkVIcKArjnnnvY\nM4aIwoUBIRERxa6BgYHS0lKn0ymeajSarVu33nPPPVopLvJPFRYVobMzKjEhZCMNbTab6j5DkU9w\nmJoa0wWlgnCyqGjJoUPi2eGzz770rbfOu/ji+fjoeBG8fai0UTDkvzJuFCSi+cSAkIiIYtrIyEh1\ndfX+/fulFb1e39jYWFxcPHWRIlUY1ZhQEmJwqNfrDQbDunXrDAUFE5vAYilt+Ok3vnHWf/6nePzq\nGWekWK1XXXdd5D4u/oRvo2CgOFDEjYJEFCEMCImIKA6Yzeb6+nopVQigqqqqoaEhJSVl4lwQUFYG\nKW6MjZhQMuPMoRgcRjtt+OmvfnXWjTeKxxZgeN++ittuC+P941XwlCAms4KhhYLB48DMzEyTycQC\nUSKKHAaEREQUH7xe74MPPrh3716v1yuupNLBI14AACAASURBVKSk7Nu3r7y8fOIKRUyIqLWZCS7E\n4HBiiEVBQagFpQhzcOj1eLRLlkin99xxx0OPPz6XGyaIIClBAHl5aG6GXj/tP3zGgUQUIxgQEhFR\nPHE6nbW1td3d3dJKcXFxU1PTxPx6/5gwem1mQuFyufbv3//6669bLBZ5/lNiMBg2b96cm5ubdPr0\nmR99pNFoUnW6eQgOBa/39YsuuvbECfH0+9dc8+Cvf71wG8mEmBIMoYKXcSARxRoGhEREFH+ee+65\n+vp6qfWiTqfbs2fPrbfeCsTWRIoZkTKHZrPZFSgBBWRkZFx/3XUbcnLy8/JS7713+sgQM95w6PV4\n3rjkEika/PWyZVe//7426qMv5lmIM0JC2yjIOJCIYhYDQiIiiksOh+Puu+82m83SisFgaGxsnJhL\nEUsTKWZh2iEWosuWLzfl5a1duzY/L2/pd74zs7Qh1DOHXo/nWEbGqj/9STw9+oUvZNntWp1u5n+I\nuCWGgk6n8kdILrSUoN1ub2tre/755+12u/+rjAOJKBYwICQiojimSBX6zKWI21ShJMSwUHTZ8uXX\nX3rpl7/85csvu2zN00+f9bvfTf8etbLSngsvLJjMTx79whcuffPNc887b7Z/grgS4mTIEFKCzAcS\nURxhQEhERPFteHi4rq6uTRb4+cyliPNUIQCXyyU1nvF6vQMDA9M2pNEAN3z5yzk5OQX5+et//vOz\nX3tt+o/Jy0NTU8c995S/9JK48PvPf/7Lb72V+LnBGcWBgVOC8l5BAwMD/hcwDiSi2MSAkIiIEoHN\nZqutrZUX5pWXlzc2Nup0ugRIFaoKsVupBlhz8cVrrr12c3//F99+O/T7f3ro0FkXXQSEf5pF9IW4\nP1BitSI/X/4Pwe12i91u3W63zWYLlAwE40AiinkMCImIKEH4z6XQ6XSNjY0TcyniP1UYxMjISF9f\nX39//xtvvNHf368aH2qANNlxE1AQ4t0VOw/1+nA88gwkJYXp60qIyUD4/ZHT0qDRhBiBixgHElG8\nYEBIREQJxX8uhclkamhoSEtLU0kVxtj8+nAZGRmx2WyvvPKKxWJRbWcCWXyoAZqB/NDvbjBg82bI\n45yIpRCTkpLkpzP+0iJlAhFaMrChAQYDkpM/PH167MwzxbVpc4CSjIwMg8Gwdu1ag8GQlpYW/GIi\nohjBgJCIiBJQS0tLXV2d1GwmOTm5oaFhYi6Ff6ow/stHg5g2r6UBuoDiyVMnoJ/pZyjyaQhDiKgI\nBeUCfnWRh38IuRwUOL106Zkff+w6fNil0YQY+8kxGUhEcY0BIRERJSa3211TU7NfNqR+ai5FvM2v\nDxdp5xsm+9MctlrX/9//WzJ5gQUoA7yy5OEMKktlTuXkjDz66HnLlytfCDlQDBIQQh4TyoPA4IMi\nfH2SldV2443/+atf/eEPf3AD3tDeJeUAc3Nzk5OTAWg0GiYDiSiuMSAkIqJE1tHRUVtbOzw8LJ5q\nNJotW7Zs3bo1WatNyE4zM/X+mjUX/eY34rEF+P6ll/73u+/Ks4jynYcA8oF/AQyz/bhTOTl/2bv3\ns3POCX5ZYWFh8AsOHz4MIOn06S9s2aLt6wv9AfqAasALhB4EgjlAIkpoDAiJiCjB+c+lSEtL27Nn\nT0VFhXqnmdbWRGuqGcBQU1P6t78tHh8+++xL33zzvOXL/bOI/uWmaYAGwBxSiPOmD9gEeCZPp40D\nxdjvxhtv1E/2zmEOkIgSGwNCIiJaEPznUkxUkGZkLMxU4cjwcMqyZdLp7w8duuq664Jc7x8ovvLK\nK93d3S6nUx4txUiIaAScAIJGgHq9vqKiYu3atZmZmeIKYz8iWoAYEBIR0ULhP5dCo9Fs3br1nnvu\n0fb2JvBQClWHvvSltR99JB6/fN996x98cHb3kQeKoqTTp8/86KNTp069/fbbvb29vb2977zzTtLp\n0xEKFBU5QJELkDfPYd6PiCgQBoRERLSw+M+l0Ov1jY2NxUVFCydVuO8f/7Hm5z8Xj48tX57jcET0\n48SgUQwUQ7k+xD2EotPLlo2ffXaQixn7EREFwYCQiIgWIrPZXFtb63a7pRWTyfToo4/q7XZs2OBz\nacKlCp//2c9uqaqSToWPP9akpETxeVSF2mWUiIjm5oxoPwAREVEUmEym48eP33XXXRqN2B4FZrM5\nKyvrMbtdGB1FRcXUpWYzysrgDb0nZUx75/nn5dHgJ21tMRgNBsdokIgojJghJCKiBc3hcNTX18vH\nFRYUFLS3t6f29ytThfFfPvrpLbec9R//IZ3+zWj83KuvRvF5glNNEvJ7CxFReDFDSEREC1pGRkZX\nV1dzc3PKZKKsp6cnKyurZXgYY2MoKZm61GhEWRk8HvUbxT6bTR4Nvn/VVZ/7xS+i+DjTGlcT7Yci\nIko0zBASEREBgNvtrqmpkacKDQbD4489dvlDDyVCpxlBwKJF0tmjX/ta/YsvRvFxiIgoRjBDSERE\nBACpqaldXV3t7e06nU5csdls2bm5tSkpnq4un0vjMFX4/tq10nF9bm7t889H8WGIiCh2MENIRETk\nY3h4uK6urk2WFdTpdI88/PA3X345TlOFQ01N6d/+tnh8cPHiK999NzU1NbqPREREMYIBIRERkQqb\nzbZp0yan0ymtGAyGn2zadNG3vuVzXcwPpRgZHk5Ztkw6/f2hQ1ddd10Un4eIiGIKS0aJiIhUGAyG\no0eP3nnnndJcCpvNtvyf/mnr974nlJdPXScOpYjZ8lFBeOvLX5bOXr7vPkaDREQkxwwhERFRMHa7\nva6uzmKxSCtpaWk/2bTp+vvv97kuJstH37ziisuPHROPjy1fnuNwRPd5iIgo1jAgJCIimp7ZbK6v\nr5dXkK5ds+aFzz77wpEjUxfFWPno6488cvWWLeJxX0pK7tBQ3M2gJyKiSGNASEREFBKv1/vggw/u\n3bvX6/WKKxrg4Be/eP2f/+xzXWykCt98443Lc3Ol03ffeOOSK66I4vMQEVFs4h5CIiKikGi12vvv\nv39wcLC4uFhcEYB1f/6zUXFdDAylGBkeHi4slE7/8MQTjAaJiEgVM4REREQzZrPZdu3aZbPZxFMN\n0AxUyK8oKkJnZ7TKR3990UVrPvhAPP7jNdd86be/jcpjEBFR7GOGkIiIaMYMBoPVarVarQaDAYAA\nVAI+qUKLBUuWYDJinE89DzwgRYNvX3TRl155Zf6fgYiI4gUzhERERHNis9k2btw4PDwMQAO8eMYZ\nX/3ss6mX57fTjHdkRLt06dTpiRNanW5+PpqIiOIRM4RERERzYjAYTpw4sWXLFgACcPNnn7XJXzab\n5y9VKAjvX3utdDb07LOMBomIKDhmCImIiMKjra2tpqbG4/EAMABWxcuRTxV+8rWvndvVJR4PZGRk\nHz8euc8iIqLEwICQiIgobAYGBkpLS8VxhRqgJSnpFvl/ZyPaacZmg3FiG+Phs8++6r33zj3vvIh8\nEBERJRCWjBIREYVNdnb20aNHS0pKAAhAxfi4SqeZnp7wf7AgSNEggD89+SSjQSIiCgUDQiIionBK\nSUnp6urq7OzU6/UAbMAiYL/8isLCMA8qFIQ/yrYObs/NNVVVhe3mRESU0FgySkREFBFer/fBBx/c\nu3ev1+uN6KDCv331q587cEA8Prh48ZXvvpuamjr32xIR0ULAgJCIiCiCnE5nbW1td3c3VDvNWK0w\nGOZyf8/+/cmlpeLxq2eckWK1XnXddXO5IRERLSgsGSUiIoogvV5/4MABsYLUBixWlI8ajXMqHxUE\nKRoE8OennmI0SEREM8KAkIiIKOJMJtPg4OC2bdug1ZYBykGFs4sJBeHtyy+Xzp4oL6+47ba5PyoR\nES0oLBklIiKaP1IFqWGO5aOC8JfrrvvCkSPiWY9Ol//RRxqNJmwPSkRECwMzhERERPNHrCBtb293\n6vXK7qNGI4xGDAyEch/vxo1SNPhfZ521oreX0SAREc0CA0IiIqL5Vl5ePjg4eM+2bdXJyT7lozYb\ncnJQWAibLdj7bTat2SweWoBTbW3nLV8esYclIqJExpJRIiKiqHE6nXV1dZ79+5XlowBMJjQ3q8yl\nEAQsWiSd/fu999737/8e0YckIqIExgwhERFR1Oj1+q6urs2dnRkXX7xf8ZpqsxnfGfT1ubnf+8EP\n5uE5iYgoUTFDSEREFH1er3f3/fc//8gjWadOdSpek5rNCMLJoqIlhw6Jy78655xrPvwwJSVlfp+U\niIgSCjOERERE0afVanc9+GC33e4tLvZvNmNOSsLIyFhJiRQNWoCl+/czGiQiojlihpCIiCi2mM3m\nutraPW53hWzRAWRMHvcBRkBeS8r/mhMR0ewwICQiIoo5Ho9nyZIlBv9ZhQCAHEAxm4L/NSciotlh\nySgREVHMWbJkCQAbsFhRPgrANzcoSkpKivxDERFRAmKGkIiIKObIAzwtMOr7ai9QAzgAr2yR/0En\nIqJZYIaQiIgodmmAdr/FfOAY0AX4zSgkIiKaGWYIiYiIYos8PZgBHA98pQUom6wg5X/QiYhoFpgh\nJCIiii3y0K5Btp4DKCZSFAEnAcN8PRgRESUeBoREREQxygAUTx5bAAcgAGXACqBHdpkV6AR2fPe7\nHo9/uxkiIqJgWDJKREQUi5KSkqyy7N8S3+aiGqAZkA8q7APuOe+8f9mzZ2N19bw9JBERxTtmCImI\niGLRP99wg2HyuMxv1IQAVAJG2UoeYPnTn5Z+85s3rVvndrvn5yGJiCjeMSAkIiKKOS++8EL1r34l\nnfYDAMYnSevW8XGMjX321a9KK0VA/auvFuTmWiyW+XtcIiKKWywZJSIiii1ej+c35513/d//Lp6O\nr1uXtH8/tNqAbxAElJVhv88EeyOwdseObdu2aTSaiD4tERHFNWYIiYiIYsv/u+8+KRocvfzyJLM5\nWDQIQKNBZyeOH0dBgbRmBQy7dt108cV/eu+9iD4tERHFNWYIiYiIYsh777zz4aWXfuWzzybOjx1D\ndnaobxYEVFejrU2+Zj3zzCPf+96/3XdfcjLn2BMRkRIzhERERDHkn2+4QYoGP7vqKmRkzODNGg1a\nW3HggHzNePr0Nbt3r7nySrPZHMbnJCKixMCAkIiIKFb84H//7+3vviudnvGTn0xTLKqquBhjYygp\nkRaKgGfefXd7WdlN69bZ7fawPCoRESUGlowSERHFBJvNdntRkf30afF0/Oqrk3p6ZhMQigQBTudn\n3/rWGb/5jbRmATZqNLdv2bJ161ZWkBIRERgQEhERxQK3271q5cpWt3uqLcyMdg8G4teA1AKUASlp\naXv27KmoqAjyViIiWghYMkpERBR9NTU1Wnk0mJc3s92DgYgNSH3LR08CeS7XvZWV69assdlsYfgU\nIiKKW8wQEhERRVl3d3fphg1WIMzpQYkgwOnEpk3o6ZEvi9nCPINhx44dBoMhbB9HRETxgwEhERFR\nNHm93lWrVnkGBoakpbw8HD48+92DgagNpRBjQg9QVFTU0NCQmZkZ5g8lIqLYxpJRIiKiaNq+ffvA\nwIBGvtTUFP5oEJNDKaxWyJKBRYAVyAZ6LJacnJx7773X4/GE/6OJiChWMUNIREQUNQ6HIycnR/B6\nfepFh4ag10f2g51OVFfLK0ilVGEa+80QES0kDAiJiIiiJisry263ZwDHpaUI1Yv6C9CAVMwPFhUV\nNTc3p6amRvwxiIgoqlgySkREFB07d+602+0aoEm+GqF6UX9qDUgPnXFGNqAFLBbLypUrLRbLfDwJ\nERFFDzOEREREUWCz2davXy8Igh6IeDuZINQakMpThTt27Ni2bZtGowl0AyIiimsMCImIiOab2+1e\nuXKl2+0GsGrp0t99/PHEC+GdNhE6v/LR15OSbh0fdwBeAMCePXtuvfVWnU4XhWcjIqJIYskoERHR\nfNu0aZMYDWo1moNf+tLUC8nJ0Xkgv/LRq8fHjwFdgPhAd9999/nnn19ZWclB9kRECYYBIRER0bza\nuXNnd3e3ePzD73xn6ZtvTryQl4coNnERY8Ljx1Ew1e60COicjAkFQWhrazMajevXrxejWSIiSgAs\nGSUiIpo/0tZBAAUFBbannz5TmgUfrXpRBb/yUadOV37y5JunTnknV1JTU5ubm4uKiqLygEREFEbM\nEBIREc0Tt9tdWVkpRoMpKSnPPf30mbfdNvVytOpFFfxShfrh4b5Tp9669FLp+dxu9/r163fu3Cn+\nWYiIKH4xICQiIponNTU1UrFlU1PT8rPPnurtGd16UQWNBhkZsFrluwovevvt/7n66kf/6Z+SJzuO\n7tq1i+WjRETxjiWjRERE86Gvr2/16tViSm3Hjh07d+6E04n09ImXY6ReVMGvfBTAX1auvPr999/7\ny1/EU71e397enpeXF43nIyKiuWKGkIiIaD7ce++9UrHotm3bIAiw26dejpF6UQW1TjNfOHr0eFra\nptWrxWmJTqdz9erVDz30ULSekYiI5oIZQiIioojr7+9ftWqVGBBarVaDweCTHgQwNAS9PlqPNz2v\nFxs3KlKFxy+++JoPPxyRbSPkuEIiorjDDCEREVHEbd++XYwGDQaDwWAAAHk7lpjaQKhKq/VPFa54\n770PMjIMOp12coXjComI4g4zhERERJFls9mMRqN4PJEeFAQYjVMdZWJzA6EqtVTh7z//+bV//avH\n98KioqLm5ubUGA90iYgWPGYIiYiIImvXrl3iwVR60OWaigazs5GREZ0nmwW1VOFVf/3rHy+7bOvN\nN6dopWQhLBbLypUrLRZLNJ6SiIhCxYCQiIgogmw2m1Q/uWPHDpUrWlshi6PigNpQiiVvvfXAiy/+\n+dprH5d1l+G4QiKi2MeAkIiIKIIefPBB8WAqPagQm/1Fp6XWgHTRoUN3dHSMHzt2/9atGtm4wvPP\nP5+7ComIYhMDQiIiokgxm81SzeRUelAQ4HBE7ZnCSC1ViL4+5ORs++1vX/3FL6QNhMPDw0aj0Wg0\nMiwkIoo1bCpDREQUEV6vNysry+l0AigqKnr55ZcnXoivgROhEAQ4ndi0aWpjJIC8vD//5Cff+u53\nu7u75dey2QwRUUxhhpCIiCgiHnroITEa1Gg0jz76qPpFsT9wIhQBUoVfvPzyA3v2HDp4UF4ry2Yz\nREQxhQEhERFR+Dmdzocfflg8vv3227MDTZVoaoqzjjJBqO0qRE7OdXv2WLu6rFarNLCezWaIiGIH\nA0IiIqLwq6ur83q9APR6/f333x/wujjtKBOIlCqUs1hgNBp0uhMffLBjxw42myEiiikMCImIiMKs\nra1t/+To9kcffTQlJWXqtYTpKBOERoPRUZ88YV8fcnJQWrpzy5aXX36ZzWaIiGIHA0IiIqJwGhkZ\nuffee8Xj8vJyk8nk87LLhfXro/BY80yrhdWqLB+dTBX29/YWFxdLyzabjWEhEVG0MCAkIiIKp9ra\nWrGXjE6na2hoCHZpYnSUCSTwUIrzyssPNDdbrVZ5sxmGhUREUcGAkIiIKGxsNltbW5t43NDQMM1w\nhUTqKBOIaqeZvj4sW2bIy7NarYHCQjGoJiKiSGNASEREFDa7du0SDzIzMysqKqa5OsE6ygSimioE\nYDRiYMCQn68aFq5evbq3t3een5SIaAFiQEhERBQeNptNKndsbGxUv2jBDlqQUoUSsdNMYaE8LJSP\npigsLHzggQc4moKIKKIYEBIREYWHlB40GAzyfJcPl2venifmiKnCAA1I4fEYDIYTJ05IoykEQdi+\nffuyZcu4q5CIKHIYEBIREYWBPD24Y8eOgNfJR1CMjET2mWKT2IBUUT5qsYgVpHA6d27bJh9NMTIy\nwmYzRESRw4CQiIgoDEJKDwoC3O6p04UZECJwp5mcHKSnw+EwGAxHjx71H01RVlY2PDwchQcmIkpc\nDAiJiIjmKtT0oMuFDRumTtPSIvtYsUzqNKMICwFxV2FqSsqBAwcOHDggj67NZnNWVlZHR8c8PywR\nUQJjQEhERDRXIaUHFfLyFnRAKJLCwuzsqcXhYWlXYXFxsdVqffnll/Pz8ydfHN64cWNWVhYrSImI\nwoIBIRER0ZyEmh6Eb4vRhTCEMERiBamCuKtweBhAUVHRkSNH2tvbpR6kdrudGwuJiMKCASEREdGc\nzCA9KG8xukCGEIZIr8fQkOr8egwMwOsFUF5ePjg4WF5eLr0ubSz0er3z/8hERImBASEREdHszSA9\nCLYYDUyjgV6vvqtwsnwUgE6na29vV0yxN5vNpaWlHo9n3h+aiCgRJI2Pj0f7GYiIiOKVVLVoMBis\nVus0VzscWLFi4thqRYi7DRcgQcCiRT4reXloakJyMtLSoNFgMj0ovV5UVNTV1aVlFS4R0QwxQ0hE\nRDRLbrd7BulB+JaMsqNMEBqN+vz69HQ4HOKCwWAYHR0tmZxnaLFYFi9ezC2FREQzxYCQiIholnp6\nesQDnU4XUnNReckoSxyDE+fXBxhKIe4q1Gq1nZ2dJbIZ9+w0Q0Q0UwwIiYiIZunQoUPigclkCukN\n8kYy3EM4rSBDKcSw0OnUAO3t7RUVFdLrHGFPRDQjDAiJiIhm6emnnxYP1q5dG9IbWDI6C6pDKWQV\npFqttrW11b/TDEfYExGFggEhERHRbLS0tEjTDkIdRi/PELJkNHSqQylEkw1IxaY+Vqs1ezKdKI6w\nX7lyZW9v7zw/LxFRHGFASERENGPDw8N1dXXisclkSgsx3ScPAlkyGjrFUAr5P22HA0Yj7HY4nRAE\ng8Fw7NixxsbGlMntmv39/atXr169erW04ZOIiOQYEBIREc1YbW3tyMgIAJ1O19jYGOrb5E1lOJh+\nFqRdhXJ9fcjKkjcgvf322xUj7Ht7ewsLC7mxkIjIHwNCIiKimXG73dLmtIaGhtTU1OnfIwhwOn2y\ngiwZnbVAFaSTnWYgCKmpqaoj7LmxkIhIgYPpiYiIZqajo2Pjxo3i8Qz+M1pWBrN56vToUeTmhvvR\nFhhBwMqVGBhQrg8OIjNTOrPZbPX19f39/dJKeXl5Y2OjTqebn8ckIoplzBASERHNjDRt4rbbbpvB\n2zo7UVQ0dbpxIyZ70tAsqTYghc+sQgAGg+Ho0aPt7e1SBNjR0cFUIRGRiAEhERHRzEhzz0OdNiHp\n6ppqiOJwwO0O52MtTFL5qLzTjDSrULZjsLy8XL6xUOxBWlZW5nQ65/eJiYhiC0tGiYiIZsBut2dl\nZYnHH3zwQaj9RSU9PSgsnDhm1WgYORxYsUJl/dgxZGRAq5UWOjo6amtrpe4yycnJzc3NJpNpfh6T\niCjWMENIREQ0A1KdYWZm5oyjQQCCMHXMyRNhFKjTTIBUYUVFhXjq8XjKyso2btzIBqREtDAxICQi\nIpqB559/XjyQTzWYAfm0CU6eCCPFrEK5vj4sWyY1IAWg0+laW1s7OzulcYXcVUhECxYDQiIiolDZ\n7faByZ6Wt9xyy2xuIZ82wckTkSDOKhwdVUkVymYVAjCZTMeOHVPsKmSqkIgWGgaEREREoZLXi2Zn\nZ8/szf6jCJkhjBytViVVCKCwEHa7lCpMS0trb29nA1IiWsgYEBIREYVqTvWiGg127UJZ2dQKu4xG\nlJQqVDQgzcpSpApVG5AmJSXt3LlzwH/IIRFRYmGXUSIiopC43e7zzz9fPD527NiMM4QABAGlpeju\nnloZHZU3wKSIUG1AqtPBakVyMtLSoNGIa4oGpCKTybRv3z5OsSeiRMUMIRERUUh6enrEg4yMjNlE\ngwA0GnR1ITV1aoVJwnkQZFZh0FShyGw2s4iUiBIYA0IiIqKQHDp0SDwwGAyzv4tGg4aGqVNOnpgH\n8gak/nyHUuh0uvb29sHBwR07diRPbvJkvxkiSmAMCImIiEJis9nEg7Vr187pRhkZ8pv6TCakiAqU\nKhSHUni90lpmZubOnTtPnjzJfjNElPC4h5CIiGh6drs9KytLPP7ggw9mM5Je4nQiPX3qdGgIev2c\nHo5mSnVXYV4eDhyA317B4eHh2tpaeRxoMpmam5uT2SSWiBICM4RERETTkw+cmFM0SLFAShXK+c2v\nF4lFpPJUodlsLisr83CMJBElBAaERERE05vTwAk5cRohRZe0qzDQ/PqeHnkFKSb7zWRMlvtaLJYV\nK1ZwSyERJQAGhERERNOw2+3SPLpbbrllrrd7+GGfU5drrjekWQs0v95oVDSbAaDT6QYHB0tKSsRT\nt9vNLYVElAAYEBIREU1DXi86y4ETEo0GnZ3Iz59aKSxUJKNoXqnOr4d6BalGo+ns7KyoqBBPOcKe\niBIAA0IiIqJphK1eVKTRoKnJZ4XTCKNOTBX685tVqNFoWltb5VsKAezatSsnJ2fDhg3cWEhEcYcB\nIRERUTBhrhcFoNHg3nt9Vlg1GgvETjP+zWYAFBYqUoWqI+y7u7vZbIaI4g4DQiIiomDCWS8q6exE\nUdHUaWEhpxFGn9hpRmo2o5hV6JcqlI+wlxYtFsuSJUtYQUpEcYQBIRERUTBhrheVdHVBHl5mZYGZ\npdgRqIJUTBX6jbAfGxuTms1AVkHq5e5QIop5DAiJiIgCcrlcUqrnxhtvDOettVp0dk6dOhxYv555\nwhgizSr0TxX6NSAVm82YTCb5Ynd3d2lpaRhjwqSkpHDdiohIwoCQiIgoIEEWoYV5Hr0gKLcO7t7N\ngDCGSLMK/VOFgRuQ+leQlpaWzn1XYVJSkhgNSgdEROHCgJCIiCgaNBrU1ytXtNooPQ0FJqUKVUfY\ny3YVQq2C1GKxzKXTjGoEyJiQiMKIASEREVFAbtlACI1GE+a7v/YaMjKmTgsL4XAwSRhz5KnCQA1I\nfetCxWyhPCZcsmSJzWYL40MxJiSicGFASEREFJDFYhEPMjMzw1wyCkCjwbFjPq1lVqxQZJwohqiO\nsA+8q7C9vb24uFhaMRqNM00VyqM+PWAAioBbgcxZ/gGIiFQwICQiIgooUi1GJRoNHn3UZ2XTJiYJ\nY5pqA1K1XYVarbazs7OiokK6ymw26TFj4AAAEyFJREFUhx4TivtX9UARcBcwBFiBl4EmYBDQM0lI\nRGGSND4+Hu1nICIiikUul+vCCy8Ujw8fPlyg2EIWLqtXo7d36rSrC0VF3EwY08SGQIKATZvQ06N8\n1WqFXo+0NEzWGNtsNqPRKL/kyJEj+fn5gW8vuFwuY3q6HlCbfTFhJXCU3+KIaM6YISQiIlIXwRaj\ncl1dPqeKTjMUg4LvKjQaFc1mDAbD6OiofFDh6tWrg6QK//jqqx3p6UNBo0EARwGMjMzyj0BENIkB\nIRERUVQlJ6OoaOrU4cCqVawajQ/irsKTJ+H/+wKx2cxkBalWq21vb5++fNTp/PBnP7voxhu3+H1U\nHZAFpAMr5av19YwJiWiOWDJKRESkzul0pqeni8dDQ0N6vT5Sn+TxYMUKyDqaoqoKTU0Ie19TihCH\nAytWqL80OIjMqS4w/uWjVqvVYDCcfucdd2/vBVVV/jcwAk7AKVvZAuyRTo4eRW7uHB6diBY6ZgiJ\niIiiLTlZ+Z3eYsGcp5nT/BFnFfo3mwEUDUgNBoN8SiGATUbjP3zxi2dmZCiiwccAAOmAzTcahOLU\nqXiRiGhmGBASERHFgAMHYDBMnbrdWL9eMd2OYpe4q7CgYGKEvWIuhdiAdPJvU6PRdLa315WWZgB3\nAkPAf5w44X/Lrx48+FxTk3Pajy4rC88fgYgWKgaEREREseHAAZ+ZhH19sNuj9zQ0c/JmMwrirMKB\nAXg8cDo1vb0/7uo6DjSo3Wbo2WdP2e2XXHddcnKy/6vjY2PtilElRERzwD2ERERE6uZvD6FEsRUt\nNRVDQxxBEX+kuRSBNhYGIG4XfM5iWbtunfzHTzQ2NqbRaFT2K/K7HBHNATOEREREMUPRRcbt5g6x\nuCSlCkdHMd34yr3AxszMdCAd6AGcgKGoqLS0tL+/X37Z8ePHNeKPB38kiCisGBASERHFjLQ0ZbWh\n280RFHFMq52YVZiaGuiS/jVrml577fjYWH5FhfQ3vX///jLfzYFTCWpFtyH/QYhERDPBgJCIiChm\naDTKiXZGI1yuKD0NhYPTeXLvXp+ZIjLvPf74M089lazVajSa1tZWq2qfUmBoaGgiPSgIyl8QzEMl\nMxElNAaEREREsUSvR0qKzwrnT8Qph8NdXY0VK5Y89VSgSy6+8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"output_type": "display_data"}], "prompt_number": 36, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo10()"]}, {"collapsed": false, "outputs": [], "prompt_number": 37, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["To quantify the quality of the approximation, we use an averaged\n", "Hausdorff distance.\n", "The distance between two sets of points $X$ and\n", "$Y$ is\n", "$$d(X,Y) = d_0(X,Y)+d_0(Y,X) \\qwhereq\n", " d_0(X,Y)^2 = \\frac{1}{\\abs{X}} \\sum_{x \\in X} \\umin{y \\in Y} \\norm{x-y}^2.$$\n", "\n", "\n", "Compute the pairwise distances matrix $D_{i,j} = \\norm{f_i-g_j}^2$ between points."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 38, "cell_type": "code", "language": "python", "metadata": {}, "input": ["dist = @(f,g)abs( repmat(f, [1 length(g)]) - repmat(transpose(g), [length(f) 1]) );"]}, {"source": ["Compute the Hausdorff distance."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 39, "cell_type": "code", "language": "python", "metadata": {}, "input": ["hausdorff = @(f,g)sqrt( mean(min(dist(f,g)).^2) );\n", "hausdorff = @(f,g)hausdorff(f,g) + hausdorff(g,f);"]}, {"source": ["__Exercise 11__\n", "\n", "Display the decay of the Hausdorff approximation error as the number $N_0$ of\n", "sampling points increases."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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pKamsrDzmCfHXFPuF4YNO054eACBNnODX1KqqqlgsNnTo0N6sJ00IhN0Vfw9w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