{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Lecture 4: Matvec complexity, FFT, fast convolution" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Matrix-by-vector multiplication (matvec)\n", "\n", "Multiplication of a matrix $A$ of size $n\\times n$ by a vector $x$ of size $n\\times 1$:\n", "$$\n", "y_{i} = \\sum_{i=1}^n a_{ij} x_j\n", "$$\n", "requires $n^2$ mutliplications and $n(n-1)$ additions. Thus, the overall complexity is $2n^2 - n =$ $\\mathcal{O}(n^2)$ ." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## How bad is $\\mathcal{O}(n^2)$\n", "\n", "To understand how time-consuming $\\mathcal{O}(n^2)$ can be consider the following example.\n", "Let $A$ be the matrix of pairwise gravitational interaction between planets in a galaxy.\n", "The number of planets in an average galaxy is $10^{11}$, so the size of this matrix will be $10^{11} \\times 10^{11}$.\n", "To model evolution in time we have to multiply this matrix by vector at each time step.\n", "Top supercomputers do around $10^{16}$ floating point operations per second (flops), so the time required to multiply the matrix $A$ by a vector is approximately\n", "$$\n", "\\frac{(10^{11})^2 \\text{ operations}}{10^{16} \\text{ flops}} = 10^6 \\text{ sec} \\approx 11.5 \\text{ days} \n", "$$\n", "for one time step. If we could multiply it with $\\mathcal{O}(n)$ complexity, we would get\n", "$$\n", "\\frac{10^{11} \\text{ operations}}{10^{16} \\text{ flops}} = 10^{-5} \\text{ sec}\n", "$$\n", "instead. Fortunately, there is an algorithm to be $\\mathcal{O}(n)$ for this particular example.\n", "\n", "Here is the YouTube video that illustrates collision of two galaxisies which was modelled by $\\mathcal{O}(n)$ (or maybe $\\mathcal{O}(n \\log n)$) algorithm:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo(\"7HF5Oy8IMoM\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "The question is can we be asymptotically faster for a general matrix $A$?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Can we beat $\\mathcal{O}(n^2)$?\n", "\n", "Generally speaking no. The point is that we have $\\mathcal{O}(n^2)$ input data, so there is no way to be faster for a general matrix.\n", "Fortunately, we can be faster for certain types of matrices.\n", "Here are some examples:\n", "\n", "* The simplest example may be a matrix of all ones, which can be easily multiplied with only $n-1$ additions. This matrix is of rank one. More generally we can multiply fast by low-rank matrices (or by matrices that have low-rank blocks)\n", "\n", "* Sparse matrices (contain $\\mathcal{O}(n)$ nonzero elements)\n", "\n", "* Structured matrices (later this lecture):\n", " * Fourier\n", " * Circulant\n", " * Toeplitz \n", " * Hankel" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Fourier matrix\n", "\n", "The Fourier matrix is defined as:\n", "$$\n", "F_n =\n", "\\begin{pmatrix}\n", "1 & 1 & 1 & \\dots & 1 \\\\\n", "1 & w^{1\\cdot 1}_n & w^{1\\cdot 2}_n & \\dots & w^{1\\cdot (n-1)}_n\\\\\n", "1 & w^{2\\cdot 1}_n & w^{2\\cdot 2}_n & \\dots & w^{2\\cdot (n-1)}_n\\\\\n", "\\dots & \\dots & \\dots &\\dots &\\dots \\\\\n", "1 & w^{(n-1)\\cdot 1}_n & w^{(n-1)\\cdot 2}_n & \\dots & w^{(n-1)\\cdot (n-1)}_n\\\\\n", "\\end{pmatrix},\n", "$$\n", "or equivalently\n", "$$\n", "F_n = \\{ w_n^{kl} \\}_{k,l=0}^{n-1},\n", "$$\n", "where $$w_n = e^{-\\frac{2\\pi i}{n}}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "**Properties:**\n", "* Symmetric (not Hermitian!)\n", "* Unitary up to a scaling factor: $F_n^* F_n = F_n F_n^* = nI$ (check this fact). Therefore $F_n^{-1} = \\frac{1}{n}F^*_n$\n", "* Can be multiplied by a vector (called dicrete Fourier transform or DFT) with $\\mathcal{O}(n \\log n)$ complexity (called fast Fourier transform or FFT)! FFT helps to analyze spectrum of a signal and, as we will see later, helps to do fast mutiplications with certain types of matrices." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAY0AAAEZCAYAAABrUHmEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvWm4bVdRLvzW3qdJ3wGBkIYuoVMurSEYkSigET+xAS+i\n", "cuECknsRrw36idgQRfyQq4IIYuSCgFwFFYNBiBCBQ6tgJAQEIgQICSEJCelzcnJyzh7fjzlrr5rv\n", "qjFGzbn2yt5rZdbz7GfttdaYtcacc4x6662qMaaklDDKKKOMMsooEVnZ7A6MMsooo4yyODKCxiij\n", "jDLKKGEZQWOUUUYZZZSwjKAxyiijjDJKWEbQGGWUUUYZJSwjaIwyyiijjBKWETRGuVOLiLxHRJ5R\n", "+P51IvIbQV27ROQ5PX//BBG5SUSkz3FDRETWROS+8/6dUZZbtm12B0YZZaNFRC4B8JyU0vtrbVNK\n", "TzLHPas97rHm+//Z46dT+xc/IKVLARza55hRRtlMGZnGKMsovY33KKOMEpMRNEZZahGRZ4nIR0Xk\n", "f4vItSLyFRE53Xy/S0SeIyIPBPBnAB7Thouubb9/k4i8tP3/SBH5RxH5ZqvrXSJybLAfJ4vI+SJy\n", "g4hcKSJ/2H5+7zZstNK+v4+IfFhEbhSR80TktSLyl9T2v4nI10TkahF5Mf3Gv4jIdSLyDRH5ExHZ\n", "vlHXcpRRgBE0RrlzyMkALgJwFwCvAPAG810CkFJKFwE4A8C/pJQOTSkdZb9v/5f22BPav1sBvCbY\n", "hz8G8MqU0uEA7gvgbzLt/grAvwI4CsCZAH4a06zpVAD3B/B4AL8lIg9oP98H4Ofb83xM+/3zg/0b\n", "ZZSQjKAxyp1BvpZSekNqNlp7C4BjRORop10uGS0AkFK6NqV0dkppT0rpZgC/B+BxwT7sBXCSiNw1\n", "pbQ7pfSJqR8ROQHAowD8VkppX0rpYwDOcfr12yml21JKnwFwIYCHtf37VErpkymltZTS1wD8eY/+\n", "jTJKSEbQGOXOIFfqPyml3e2/h/RVIiIHichZInKJiNwA4EMADg9WPj0HDTv4goh8UkR+0GlzTwDX\n", "ppT2mM8uc9pdaf7fDeDgtn/3b8NnV7T9exka1jHKKBsmI2iMMspEcslz/fyFaAz/yW2Y6XFoWEAV\n", "NFJKF6eUfjKldDcAvw/g70TkQGp2BYCj6PMTevT/dQA+D+DEtn+/jnGOj7LBMg6oUUaZyFUAjqPk\n", "sQWFQ9DkMW4QkaMAvMTR4QKIiPy0iNytfXsDGiBas23akNL5AM4Uke0i8hgA/w/ilWCHALgJwO42\n", "sd+nXHiUUUIygsYoyy5e+W3OCL8fwOcAXCki33SOfxWAAwFcA+DjAM7tofv7AfyHiNwE4JUAfiKl\n", "dJtzzE+hSWJ/C8BLAbwdTT6kph8AfhnATwK4EU0+423UfixDHmVmkc16CJOIHI8mKXk0msH85yml\n", "VzvtXg3gB9DEbp+VUrrgDu3oKKNsoojI2wF8PqX025vdl1FGATaXadwO4BdTSt8G4BQAPysiD7IN\n", "RORJaOKzJwF4HpqY7SijLK2IyKNE5H4isiIiPwDgyQDeudn9GmUUlU3bRiSldCXaKpCU0s0i8gU0\n", "1SNfMM2eDODNbZtPiMgRInL3lNJVd3iHRxnljpF7APh7NFVPlwH4HymlCze3S6OMMpEtsfeUiNwb\n", "wMMBcO36seiWHH4dwHFoEpajjLJ0klL6RwD/uNn9GGWUnGx6IlxEDgHwdwB+vl0wNdWE3o/JvFFG\n", "GWWUTZJNZRptaeM7ALw1peTFbS8HcLx5f1z7GesZgWSUUUYZZYCklHpty79poNGuon0DmsqQV2Wa\n", "nQPgBQDeJiKnALg+l8/oe+JbSUTkzJTSmZvdjyGyyH0Hxv5vtoz931wZ4nBvJtM4Fc1mbJ8RES2j\n", "fTHaFbAppbNSSu8RkSeJyMUAbgHw3zenq6OMMsooowCbWz31UQRyKimlF9wB3RlllFFGGSUgm54I\n", "HwUAsGuzOzCD7NrsDswouza7AzPKrs3uwIyya7M7MKPs2uwO3NGyaSvCN1JEJC1yTmOUUUYZZTNk\n", "iO0cmcYoo4wyyihhGUFjlFFGGWWUsIygMcooo4wySlhG0BhllFFGGSUsI2iMMsooo4wSlhE0Rhll\n", "lFFGCcsIGqOMMsooo4RlBI1RRhlllFHCMoLGKKOMMsooYRlBY5RRRhlllLCMoDHKKKOMMkpYRtAY\n", "ZZRRRhklLCNojDLKKKOMEpYRNEYZZZRRRgnLCBqjjDLKKKOEZQSNJRcRiAh+aI76DxDBc+elv/2N\n", "HfPUP8ooo8RlBI1NFhGsimCeT8K6H4Bz5qj/uwG8fl7KRfD9AG6bo34RwWHz0j/KKMsmmwoaIvJG\n", "EblKRD6b+f40EblBRC5o/37jju5j0w/cJoKD5qR+W/sb45MHfbn30ANF8CIRHFFp9jwANwzUn0Rw\n", "ryHH9tB/8Jx0iwh+ZB66R1lu2Wym8RcATq+0+VBK6eHt3+/mGs3Z6O4AcOScdK/Q66LJ4OsugteI\n", "4MR56Qfw/wH4/kqbe8+gHwCOKX0pgseK4FUz6D9khmNLciCAs+ekGyLYKYJXzEv/KJsnm2qoUkof\n", "AXBdpVnUaDxqxu7UZF6gpPdg25z0Dw59ieBec84n/CyAp9a6MeNvrFa+n3UO1PQ/H8DPz1H/TCIy\n", "NxtwXwC/MifdGtZ9/Lz09+jHE+9sUYKt7t0mAN8pIheKyHtE5MGFtgfMuS/zular9LrRMku+5BIA\n", "v1VpM+uE2T5n/TUwnjdozFW/CJ4rgrcN0KvXdcs5K0F5PIB/nvNvROR9AE7a7E7ckbLVQeNTAI5P\n", "KT0UwJ8AeGeh7Vw9MsyfafTuvwgeJFINm0nbdmj/7zHwuKjUQGPeRn3W+1rr36z9rx3/PABPG6BX\n", "r0vt+g+VeYNGaL6I4BFDxr4IvrtHgcq8ruGWlHl5GRsiKaWbzP/nisifishRKaVrp1t/x38XOf+0\n", "9s2ulNKujeiDGXDzZhpD7sXn0cSlf6zQxuZM9g/4jZ2V7+fNBLZ6eGouoGHGXa3/Q8OHobCoCB4N\n", "4PCU8L6e+tcG9Wrj5d8BfC+AD/Y87iE92m5pO2pFRE4DcNosOrb0yYrI3QF8M6WURORkAOIDBgD8\n", "21+lhPf204/DAZyWEv6h1Kx9nde1Gsw0Wjm6h/55gMasMu/w1GbnNIbqj+a6hnq5qr92/HsAHIX+\n", "90EZ7kpKmw4ghw84ps/5LgzTaJ3pXfpeRF7SV8dml9z+NYCPA3iAiFwmIs8WkTNE5Iy2yVMBfFZE\n", "Pg3gVQB+oqBuiNH9OZRDXlZvb9AQwXtF8Nqg/qGgUSvJnIXJAMvPNLYqKEWN+lBQj46LWsnyTPpF\n", "cJMInjBAf5/w15By+T73bUs73xstm3qyKaWnV75/LVA1uipDjG5kQsxS3fRYAN+HpkpoHvqBeknm\n", "rKA0b6Yxgkb5uBpozBqeiuSUbhmgX+/rdgB7C+0OAfBszDepPQQ0+oyLOxVobPVEeB+ZF2jM4qlf\n", "0UP/UKO+2aAx7+qpWcfovKunascPve7RcTdv0ACA6wfo7zNv5l35ODKNDZSlBY12xWst3h9ZbTsL\n", "E4hsfzFr+KgGGrMymXnv+zTvnMa8q5sWnWlExsVu+6adW0+pHGOZRk06oSYR3C9QudSnKvBA0v9d\n", "Af3V+2Z+ext9fpwIfjnQr4WUpQUNAE8BcFXlmH0BvfMGjVkT4dGcxqIyja0aPorqH9r/6LhzQUME\n", "L6gY1D4lt2xgjwfwd5VjttFrH/3HBo7ZTq8lOZDe3y9wTOS+6T3iOfJsAP87cPxCyjKDRnF7h1Zu\n", "76GXvYn/GvBW9vTQP8So34r64J53+GvWdSDzzmnMRX+Pklh3jolU178MZhrtKu8/yf026R9i1CMy\n", "yzqQyD3pw2SG6I/YRm3D92CZ7OqULNPJ8eSNnNssTOPkwLF9mAaD0sEiuG/l2JsD+mcNfx1V+V77\n", "P9S418IrW5VpREuxc79/hQjuGTiuZhS93484Cn1yGixbwaj3YRpD9Efa6PVlprFMdnVKlunkePBE\n", "POvBTMN578ksTOOPAHy5cmykqmXW8NddKt/PymTuU/l+1jH66CH6RfC/RKbCGlb0fGursUv9L+nX\n", "406p6PeMWyQ01MeZGMI0+oSnWLYCaGwHmj2uCm1y4allsqtTskwnx4Mncm5rQHhg8OCPGMlZchq1\n", "JD7Qj2lwocB2kWro6SbEq4OGgsb9K9/PyjQeUfk+d35/DOA7A8c9eaB+oHxuetyZFf2eRABB9X84\n", "oI9Bo48XHik2GQJKs4BGxDbsoFdP9BxZ3zLZ1SlZppMbwjRynoKnh/VHPKjbgGq8PzfBI1UxEaaR\n", "M+pvBPCtyrG7K99bvUPH0qCcgwj+QCSUt/rmEP2tRIxuTSLAMIt+T/qAxpBE+ApQ3SFXfzsCSixb\n", "gWlErk/O4Vsmuzoly3RyfC59QKNUJ55jGhHQ0G07hgy8CGiUFk2p5AzIdwR+I7LtyKxMY2hJ7AuB\n", "0EOEagZiVtA4r6K/dF0izkRm25yi9AlPDZHIPdfv5vU8ED230sLZnPTJaQxhGku9VfoygcYQtNc2\n", "hwb0DgENHTyR2PgQ0NgHVJlMDpQi+/H0AY3O9RbBM0XwvYHjZzHqkdBHTX/EWy4d1xv0jIce0f+B\n", "in5P+iTC/yqgj5mG9rukX9u8e4D+Pkwj++TEwrzowzRK5b8j01hw4RsX8aS0TcmAzsI0IkxmlvAU\n", "6yh9x20iz8WehWm8CcDvBY6vjcHNBI0h1zWiP1JZFAUlIG/UI6B0a0A/S+Tc9bc/P0B/5Jz1ty8I\n", "6BmSc9Bx88iA/hE0FlRmCU+VQGPeTGOW8FSfnAz39yDUE5CR3UlLOY2NqIcvrQPJgoZpP+/w1JDw\n", "WqScdhbQ6JPTmAWUIqA6RH9EIv3Pza2NymmMifAFl1nCUyWveyOYRiQ8xfoiCb4+cVdvgte8zFlz\n", "GpHjo4sTe4EG4qXGs4an5sU0+uSKhoBG6bpG9UeYxhAbo4n2SNg1whSHGPXI+qNZQGlhZZlBY6PC\n", "U7MY9QhobATTKLUtGbfaOhUtSY4kbL2xNOT5HSwl4xPxMocm2u1vb7T+eTONCBOYt/5ZQCMCShEm\n", "mTvHPonweYHSwsoyndzQ8NQ+lMM7szCNWRLhkS3JI6BRmoC1FfGRVc+zMI1IWKKkvxQ+G8wEchvR\n", "bZR+bHxOg2Wjw1M5/RFQmoXJzOoU5PrZJzw1JPy1THZ1Spbp5IaGp/YjVvo4ZHFfH6YxJBHeJzzl\n", "GZAaaMwS1wXqoBHJmZQ81pL+qFH37r0eE8kVbWWmEQH7ITZgo5nMvPTPwjTmDUoLK8sMGn2YRoTi\n", "zpJzGMI0+oS/NpNpaD+HMI1ZE+0l/RtR3TQ07Of1w9M/FIxZ7uhEeB+mMS/Q6BM+GuJQRvTPUp21\n", "sLJMJzc0p7EPsYHBEzwaPtqHYWGOOyKnsRFMQ7+bN9O4w8JT5jdnTcTmvu/DNIYkwvuU3A4JH20I\n", "EyjkyqKglDC/nEafKMQYnlpQmSWnMSQ81Vl7IYJjRKZqumcJf3WAoH0wzcOpTSQ8VTIg60ZdBNtE\n", "ptrkWJaVWZhGJKdRCk9tBGiUwlND4tkR/fNepxExuhvBZCJGPXIN+RpFQanm8M2SqJaA/pFp3NEi\n", "Im8UkatE5LOFNq8WkS+JyIUiwkbTCg+wzvYF7UNp2LNWox4ZGGw4mWm8FcD59JlguLfCBuX9AD7l\n", "9G0vyqCh39WYxgfbPyva75mZhgiOFvGr1Cp7GE1NfOOhlkBnI4z6rInY3PeLvk4jAjizjP0oaEfn\n", "rptzCJT0RkGpGOUQwWNF8OsFPQslm42IfwHg9NyXIvIkACemlE4C8DwAryvo4hvHW4M82mmziuFM\n", "gFd5e4Y7MrBz+rehO1k94ydoNkXcCND4Lkzv6rqCxpuPMI0ik0HzFEXeUiLyICPP6+wTPpolPDXE\n", "i821m5d+YLbw1DwT1UM99WhOY1amoeDxGBG8yWkzFJSOoPcvBvC7BT0LJZsKGimljwC4rtDkyQDe\n", "3Lb9BIAjROTumbZ8LgwanoGZJRHOoOFdy4i3pYzFmyB2Q0Lv+0j4KwoawHQ4SZlMhGlEwlN87zSE\n", "0TeMMmV0RXCpCH6Hjttb0b2un7zOPkxjCCjdr4f+IaDxC+3rvEDjRe3rvMJHp9jvRXCUCJ7h6B9q\n", "1I+iz58B4JnURufukP7zM2iWqppqs5lGTY4FcJl5/3UAx2Xa1piGd659BvYQ0IgM7JJR30jQiJTc\n", "euG7vZljVaJMI6f/9or+EtOw1/V4AI9xdNeMuqf/J1m/CB5Azx9R/UPCU+8qfGePq+UEVBg0ntK+\n", "RsB4SCK8Y9QBQGRqdX4fo85tnkv6nwPgLRn9QxaenkyfH5npW5Qp5UBJJVI0szAy9BGgd6TwoMjE\n", "sZ95ishbzmzf7AISg8bTnYMiA09veA00HrzB+oEuaAxlMrMwDUGcaay3MV47J6p5Bbqgbti9UMup\n", "5ngr9kmJatRrE9YDoFc4n10E4FUAftF8tw/DmEb0u4h+IJ/bmVdOQ0WZwGPRPDfD3o8+Rp3P8WIA\n", "J5rPX4FpmSVRrbZB9f9E5tihoMTbEp1W0HGHioichhn7s9VB43I0HqTKce1njrz531N685n6TiRU\n", "shopuVVwqIGGt3/VrOEpa2Tv6nw/K5OJMoGS4fKYhp4TnzeDRoRpeEnjPzDHW7FPSlSje1BBN+CD\n", "xu72OO6/fb+K4Uxj6rv2efCXpbR+jaL6gbxRX2l17wTwsynhj+i74tgvJIpvRDPe9d582Du8ph95\n", "o3s5GtCIgOqQRHUk/NgHlHL6t5yklHYB2KXvReQlfXVs9fDUOQD+GwCIyCkArk8pXZVpO+TGRXIa\n", "OdCILr6rGfUSaOwGgFzVEWLe0FR4ypTWRnIaNf0eaLzAHG9l/feMQYoyDesEfCOjn0FjaHhK82ys\n", "3z5eN6o/yjS+jC4bjoa/gGnQuJD0fxTAHxII9FmjxG0+ZHSUjp1nInyW8NdG6c/l8yLscGFlU0FD\n", "RP4awMcBPEBELhORZ4vIGSJyBgCklN4D4CsicjGAswA8v6CuVrLqySygAbThkELJaB+mYY26fqa7\n", "0JYeJjMkPHVS+6obEj6gfc8gEtHvgcbV7StfF8s0Vtrf34/+TOOjGf2cA4okwr01E+dk9N9k/p8l\n", "p3GW/U5kfceAq02biNHNyefotx/VvtrY/SyJ6ug6jXnq75OoHso0avrVNrj9r5T0LqxsKo1KKXl5\n", "Bm7zglqbVnLeREm05LbGBPbBByGNoecGd5+chtWhJXu1bTyGhqfujcYr560Sckwj4m3ZPiY0gKdG\n", "8aHt5wwaCfW4vcc0bmz7z/3inIY+2XAlpexCQNVvcx/XwDd4Nzr6a2FQ79olNICp3+kjXW0f+4BG\n", "dPHdsea3Ig5TL6MugtWU1sdQZOzUjHoElCIOH/ehVPHH+kv9V7DPOayCYc8K2dKy1cNTfYRv3A4g\n", "vICn00YEu0Vw//btAWjCEpYJ6KDQCVIDjc51FsEPGHayE42xsDrUI9Q2OdCQ9tga09hD+tULV/05\n", "gzo0PMVempba7qM2Q5lG57qKrOe9ODyl+iNVRBY0OgbDVE3dQm2i4SMeh3ysZ9wi4SMVNkwKyHys\n", "PceI/to6B76utoKqDwseymS8uWWPyYFGtKR6qv8i+Fsz3mYBpYWVpQcNxJJpPLAPBPBt7f8HoAlL\n", "bKPvre6SUfcmznuA9S1BdqDJXVgdh6PxalV/LtSWA73fN5NnOxqvf5tzHOvnjRWj4SneX4v7pQwg\n", "UZs11PcP8pgGGwwttb2V2kRAw9PPBvXl7WvfnADg38PcsSv0fyRnAkyDfi6J7umPsNSoUbegEfHU\n", "S0a9Vm6cS1TvE8HTSP8QJpPT/1QA39P+n2Ma69dtGUNUywQafC5R0IjELW9B1ygehG54pBfTINmJ\n", "BjR4HYLV3zc89f9i8mCpHWiMqdXPE0I9UAaNnDf3aPM2Ako6eQ+nNlHQuB1do6v91+NU/7WmTR/Q\n", "4GeqsEF9kPmc20RyJgndarsNMerGMeA+5I5l/UOLNPRY/vxAajNldEWwRwTPI/0eKE3loxy2lgOl\n", "B1J/PCYQSdJHQM8ydu2jzt/VyvELKct0Qnah0QqagVHzpNTjq+UcOuEpNKBxi9GdMxwlT129QzXq\n", "JaMbZjLOvkzbMR2eYv0KsN6CRdZ/KIB/NW1WW/2l/mvZ6wXUZg318NoqmuvDTMPqv5v53B4XBY1b\n", "UAhPAfiSoz8antqGZvzYa5s7tnSPPNFrwmCfYzJV/SL4UZH1NUe5cu1ckUGk/zsxYYY5JpDTnw1R\n", "klhnRY23lW0Z/awjp98+8uAW0qOApOe+dCGqpQQNNDduL2IlebWJqUzAGsUDYBK9qDMBzyiqUV/F\n", "9MDmAVsKT/E5qh6b5OZV3XycGgdr1FUH95/PVSd4CTTUqHFOQJmG9dSOEMFX6fduxbTBsPp5Wwht\n", "sx9x0CiBEhcM2DY1o7Ad06DBRv3vC/pLY3O79p0q+CJMJucw/T2A17T/74Cf7M8Z9SiTsXmkvU6b\n", "nFG3wF5yyCwDtc6d1e8VUrCOGmioftvPHW3fNU+5TDYWwHKdkD0XHYxrKMcVS0bdtrkN00bxdnPc\n", "kPBUMm14gnC/9LftOoFc/zkJ54VR+Dg1Cp9DV7z+bwc6ZcYKeiVQOsi0tW20isj2/75oqrtgjqkx\n", "DdXFRisa/tqNaaZh+6/6uf+18JG0x3igYY/1+u+yBRH8nsj6Nhvb0Vz7PSiHhj5iPo/0X6/1TjQh\n", "P2+LEC80xyHQ3NzSdlpkwk6R50jZfmkfcqBqmcZup41etwjTKIGSMg2eH9ZhXSYbC2C5TojR/jZM\n", "yhpzRiMSnop46vqd9aSBWCJZJyBXH3nhqX8J6OdqJs8rZP25MIROTKuf2yqocs7BXh8vtqzVU2ws\n", "eduPCNPwDKAb/hLBg0Q6CflSeEqP85KiavhrlVn72v6XwlOe/pxh/jUAv93+v6NtoyvY7e/ae+4Z\n", "2JLR1Wu9A81CRwYN1n8RfNDO6bdlztdietV+jmlEmYwdd7dgGpSiTCPXf+tscb5Q78nINBZArNG1\n", "N86i/dV0TCQEEDHqOmiudI7lnAD/luoqxYNzJXxZJoCuwaiFj3JFA55+Bo0c07BG90BMT1LNOTAT\n", "4FBIFDS4n5Zp2M+/w9FfC0/ljO6Upy6Cp5tEr8a396Acngrrb0WNuObtdmOaaTCT4TFWqv7Sa70T\n", "wA0AdtK4ZUDLgXZOv2Ua30IelPTY65z+R4z6AWhAaf3am0R1JKdR069zy45NZhr6G5cUfmuhZJlA\n", "gye9epn2xuWMbinnEDG6q/C3+PbiotyXiP5cXbm3TiManoqAhqe/D2gwE2Cjtd/Rz0wjF56y19UD\n", "XgUl1s/bVufCUxFQ8nIav4bJim+tzGLQiBj1ktHSdSMaP78V00yDczI5puGNfcs09mT0R/ofyWl4\n", "4S826jlQquUctqEpXbd9V9uwD8CqDV07wFjTv4Jm7Nh7m2MaS5MQXybQ4ElpQYONr21XYxqCaW/C\n", "M+psOLVdLpFcCu/wgM3VlXsTn0EjknOYWgDYTiYv/MXbnkRBwwvv7Mc0E/CYRq46S+h9hGnwttWq\n", "v3R/S2yQS0Ht3mhaLnwbykwjF/7yxqY1pn2ZRpQJ2JzGXjRMzBp2Dk/lQCnnkOm9VCbgMQ2bc/BC\n", "gSX9Nqx4M7qgoezP5hy8KrtSIty2uQXT91YLMEq2Z2FlWUFDPWQGDS9xNzSnwUyjBBr2OjMA5ECJ\n", "QSMX442Ep3KgYWOze0iPfrdGn+dyGqXrkzOKHtOIVOpE9Os5sn6On+eq16I5k1KiXZmGx4IiRt0L\n", "T9m8mYZCaqDkMYFIeEqZzC2Y9tY5PNUnfKTttByZn0+fYxpRJmbP+2Z0QUmB3DIBDzRKTIyZBgO2\n", "jruRaWxxqTENXrUMlAeGbeOBhm72pxUyXjVGqWTVhpz2oGssefGaVnvw/YqGpxiUvES7ZzhLOQfr\n", "BdYKBXJGy2MaBwAd7z3Xt6E5DRYvKRrRb3MyOf3q1TLwekwgF/5i3Xb/Ls7d2b4NBSXtt+q/DT4o\n", "RcJHNdAQNNdvN8pMxtNfAiUGDQt4CuQ1puHdE/vb2uYWTIOG6lP9ta1yFkruDKCxCt+wabvOwDBx\n", "TevF8rHMZOYRnqoZdduupD8SPiqFR4bkNBgsPQNiQcPq5wVfUdDwwkdFJmDudS2f0IfJWFED5Rn1\n", "aPiL77ndMkTDUx7gWM+81P8aaJRAr8Q0SqBhHaY1THvryjRq9zdq1Bk0mAnkwlO1RLhgOqcRtT0L\n", "K8sOGjoQ1ge580wBNurRRLX1MnPhKS8uGg1PRUEjF56yEzOac7D6dXKxJ637+swrPPUG0h8JH+WM\n", "YicR3m678Ut0jup1lkI3fZgMh1k8JuAxDfakmS2o2HJhDU8NZRq1RLiOX49lzZKoZqbh9T8Snsrl\n", "NOy4uBXAdhP+0uNsddMsTMMLT7HtiWzRvzByZwANpYj7kK8lr4WPuOTWGiTLNHJGvRY+8hKxvCI8\n", "Gp7SVd2l8BTr72PUz2hfeR1IX1CaCk8RoNv7MDTRzkb9bugKhyqsfm8dhcdkLCidCOA0Rz/vYhwF\n", "pY4hbq/PMaZNLjzlgVKfnIY9LmrUc0zAM+oWNLwKN55PHihFw1P70R3/zAQsiEQT4X3DU7WnUy6U\n", "LDNo6GC3FDRCoZlpeOEpBo1aItxOiK+1r8wEvJwGe6JeIj8Xl66Fp4bmHKL6hzCN3H3IrZivMQ3W\n", "z1uI54y6d31KiXD9nMt5uVLHnltkcR9/dnqh/6y/Bqo5UNLjtV8eaPB49PpfMup27Hf0tyHD9ees\n", "tH3KgVJkHQXvOuAZ9VIi3Ls+9nc8psG2Z2QaW1QOMDdVPRgdCOp1cjLcYxo/1b7age2Bhn2AUJ/w\n", "lEotp+EZLR54Gv4oeXOq31ucOCTnwPojoFHTr59vo+/1s1x4yvbfm/Rs1Pk8cuGpnH6PyURBKcIE\n", "aqDBj/1lr9n2bQgoPd18p8fl9EeYRiQRbp0v/c7OXQWuPjkNr//2WjPTKIWnaqFrbzcEC0rrTHxZ\n", "tklfJtBfVmmDAAAgAElEQVQAujeT44pKQdkw8cD+M0eXtyLcgtB6BY6zfXOEoudyGhYEvQkYBY1a\n", "zsTTbw1eBJRqoFdiMuzh6u/rZ0NLbtmor+toPdpSeCqaCC9VT+VyGjkm4IWPOGQCep8y/R8SnjrB\n", "tNfXkv5aToM99e81v231s1HndQ7WCNtzr4GG5zhEmUaOHQNdh5LntwdKXmh8YWUpTqIVa3w80MiF\n", "p2oLkErhKQUhNYBVimuEcxreNhZZT87Q9qHhqd45B5LS4j6unoqGp/oyDWZiHmiUmAxX0pT0V3Ma\n", "jlj9JaOeA6Xa1uulRHLUqLPBgznO89T1+8jeVmzUf7J9tXMrwTfqzARy92i9/yLrVVI2f5ELT9nq\n", "plB4CtOg4QFXDpS8SriFlE0FDRE5XUQuEpEvicivOt+fJiI3iMgF7d9vFNTl4pY8MGrhKZWap24H\n", "Qo7J9AkfsX5v0tc8dSu16imPCXhGfV2/U3mmrxFQ8sI7pfDUNrMGpsY0cvq55NYDjVJ4KsJkSuGv\n", "nMHrnXNor8WTSX/OqHtMo8imRHAPAC8z3+nrhiTCRXACgOeY43P9ZyOeYwKdc2qZ4z+03+muBaXw\n", "FK+jiFRPXde+2rnlAa8HehwaX1jZtJMQkVU0+/Y/AcDlAP5NRM5JKX2Bmn4opcSTxRNvYOj/uRvn\n", "UXT7nR6fMxiqTyeXV7a6FzEmw3FRWyIsmAYW68X2BT02gvqer00kUZ0DJU+/B3pu+AgxhljSr22s\n", "fr5+ev89g2rPKQeq60yjvU8fQ1c4vm2PjeQ09hvd9wbwE6Rfx11tW/Xc9bdtHkzf6XE2qWt/11un\n", "YfvAY+yJjv4cE7BGnI18Tv8ZaGwJ0H0iYC48VctpdFiECA7GJBpwkNEVYRqeQ7mwsplM42QAF6eU\n", "Lkkp3Q7gbQB+2GkXTR7xwOAKhv0YHp7y4pYKEgoaHiiVnh7I4SkvJ6ADTdt4z7GepbqpFL7w9Hvh\n", "o/VEn6M/ymRy+hUYa0ygBOxW//9y9OeqpyIlsbb/q6RD25SqjyKgqkyJk+xA3qhHQcm2sfq9gpIS\n", "08iBtv1N3o7e6s8xARslqN2je5jvLGh4OZNo9ZSd9y8332lBgtoGy8IZlLT/Y3hqA+RYAJeZ919v\n", "P7OSAHyniFwoIu8RkQcjL6XwlH2fNW4inc3sSl4mJ8Lt5IqGp3TbBGUC3i69FpQYNNTg5cJT32t0\n", "eaDhhRe476VE9XPNZ7NWT3nho4egywSyXiDiifD/SecXBaWI/o5BMAwxF96J5GRsPmQN05Iz6qyv\n", "xGQ8o27bREpuS/339HtMo2TUo+EjFS2/t6CUM+ol0LDXzFauHW7acAhUz8kDpZFpzCjeIGX5FIDj\n", "U0oPBfAnAN6Zb/qb24FDf11EzgSe+0j43kqNabzGfPcQapOjoMw0ouEprdIqGSSt2lLDz6BRCk/9\n", "itHl5WTsZ4Jm5azdHrwWPnqe+ayWM4mGpy41378TE2DMebGlkliPaVh5KbpGd2giXPXzb6yiHxPI\n", "9V+P7WPUc+Ep1m+vYQ6UNmpxnwcafUti2XHL6bcOWZTJ1Kqn7ByzoMHXx55TKcS6KdLmic/UvyE6\n", "NhM0LgdwvHl/PBq2sS4ppZtSSrvb/88FsF1EeGvrVl66B7jp5SmlM4H/82nEmIZOLh0Q+pyC5wG4\n", "X/t/LjzFifAc01jfQ0cEP+10POcF2vCXoH94yrbzwkf2sxVMr2z1wkd2AaXVlVsHUop5e/pZLBMY\n", "kjNhL9PKTyNudHP3KMs0ALwQvtEq9T/nmHigpMdFwl+eUedzzIW/con8GtPwzkmFF/flSmLt3KqF\n", "p+w9tjmHUnXWUCZjw1O5nAkzpS2RCE8p7Uopnal/Q3RsJmicD+AkEbm3iOxAs6fRObaBiNxdRNrq\n", "CzkZgKSUrs3oK3kTuRvHA08HjX1+Q8kL9BLh25r+YgWTiaMDWivEfhvAB6gPdtBz+EsN83ba/bUT\n", "nnKeCghzLBt13lqBV7Z6TOCbjv4cKNnEvYJejcl4uiPVTTmjXgKlWzAxukPCUwpKNqdh5Umkn4+t\n", "hY8s6E3pb6udSiWxkfBRLqdh20TXgexH91klfE45plFasW1BYxuA40h/zqhb0MiFp2rVWQyqKt8C\n", "cGhAP+c0xvDUrJJS2gfgBQDeC+DzAN6eUvqCiJwhIrq/0VMBfFZEPg3gVZiuHumoRN1bWfe2Mg8Z\n", "0ptqDR7TbP2MmQBTUI8JqFH+DLqDrARK283729HdkNDGvAHgr8y1+LDRlWMatjrLe5hMlMl44Sm+\n", "htcCOJKO68M0PKNeyjvpNcvlfG5GHTRq98iCHoPG9egaxQgTOJTa2PvL+n8NXaZUC3+dBODVzjlq\n", "m1nDUz8G4LUF/dFEOIeL9D4+DsAbqW85JnOQaVMKT62Y948E8EmjYzsaR8cWBQDAL2JYov3uaO7B\n", "wsumIl8bcjqXPjvL/P9adAdiSXJorxNuDcDDALwfzcZ19oZzzN4yDW9wekyAvQndd8gaLTXKdrFa\n", "KfylOQ39PU2Y64Rl/boD7VMAPNPo8mrJLfPymIaXCLfyDqPLA43d6DKNEmh4+r+GslG3v6nMyXus\n", "5xqwXrZqRZlGLpHsMY2TqE0pp3EDfKOl5876H4Xmvr3Q6b+n/xLkmYzX/2+n43OedHOA4D5e/42T\n", "wXtPsTDQWtA43CxOra0I17nLkuv/zwE40+jKhY8458CizxKx1xBoxg2vA/H0J9K/E8D74F+rhZJN\n", "YxpzEK/klr0VALiracOebik85ZXVcSL8fgB+vW3jbcOhRpl38PQmvVfSa6usStt8WCPrTS6rfzsm\n", "ifAdJsRVCh89F8BNpq23CzAzjW/BBw1P/zUAzkY5UW1zPCsAvgjggdSmZNT/0VwHL15uz2kFwH/B\n", "ZB2A1Z9jGhcU9HtM4F50vOf4WLkC9fCU1c/CzoTVfzGAEzP957lV0u+Vs/8lmnt3WKb/nlHf7+hX\n", "o876L8J0TiMXniqBEu8s7YEGjwFPfw6UFlaWCTTsjWNj4w0874Zb0OCtCLxtSjgRDkw8fJtz0Ots\n", "QWNIzuQwAEcb/bnwDk9oj2nYcJf2wT6hrRQ+UhDSNgo+Vj+Dxk1ocjI64Ur6fxeTCVdiGpbJfAHA\n", "/Win1pxR/xtzTSL6VzBdBMCgZI//pPndaMkqi+3/Krr6P4ru9YmEv1iYjaj+v8aExXj91/u2H5h6\n", "Pg3338uZvA3Nc9SPNv2PhJZZNHzE53YTms1LVzAbKOX070Y9POWtEVsaWTbQ6DPwPOqaYxo5CspG\n", "3Yq3jkJ1egujconw7eb9KoB3m77m1mkwaHjlil7/96ALGjn91pDZUILVzyW9a2i2YVC2UWIaei/7\n", "GPW9bTvLPiwo6fEJwOeM/lx4ikHpBdTHHCj9O4CPU/89JsDhNRbtv/WIgab0/FLkjbrq50IBFm6j\n", "+j+G7vXn62P7VQvvWKOr8+N2NKG7I6j/tUS1p997xsze9ncPNMdGcg5R/TcjFp6qMZmFlWUCjZK3\n", "4t04W/1Sy2l4FNRLhFsphY849JFjGnadhupX6j1reMoyDe3/VZjE7UvrQHjCMVtYN7oUu7Z5jRLT\n", "8IxWjWmsofusaWaSq9SWPfUaKF0PINHjgG3/9fMbSX8ElFYA7KJrwF6s9s/ummvHJvffFj94oMTh\n", "Fz3eJt89TzqXqK7pV9H+K+iVjPoQ/fswecRricnUchr6VEROhNfCU3xPcvoXVpYJNPp6KzrpvfAU\n", "T2ge2LlEuBVdDZ7oOGB6DUNpHQgzmfcb/dHwFK9Kz4HShwE83FyLiFFnT1H1K6CtIs80GLRZv553\n", "hGmsofs8aAY0PYd3OP1n/dvQPia0fW8LEbzQhAWl6zPXp8Q0VtA8hvYW6oMFCAsa9pxyJb2sn6UG\n", "GiWjzkzDK9dl/fpqjawHSrMygdsxcR5yDl9EP4encqBRCq+V9C+sLBNoRBbYWPG8ZB38HJ4qDQwG\n", "jfe2r171lL7aKiutnmJP1GMyLwXwpbZNLTzFkzynfzu9twwlEj5io6L6LZNR/RY0PNC2/VewUaNY\n", "S7QndJkGg9IqgBtSwlPRBbOc0eW81lr7m2owOGel1+0G+KDBiXCrn8N5wGT85JiGG54yzI5B4xHo\n", "zgH2pC1oMCjZ/jPT8Fg2MJ2o1r7Y/nrjx8vllIw6j5196I67HJOp6c+B0h4AK+3z5kugZJnGmNPY\n", "olIaGPr+pWiqZgDf0/VAozQwbCI8oYl7f6Vt44WPckyjVNJrB7/1iEvhKZ7kuZwJh6c4rFViGva8\n", "vfAUg8YamiSlrkXo6DcJ1f+EzwSYybDRZaah522ZgE5eBYlceIeZhp4ng4Y14Hr8S42+UiKcQY93\n", "MdbNLq1xA/LhKesRJ3TX9KygCT3uJv218JQHqp1EOCb39uFoEug1/cz+PIeM9e9HU7xgpcQ0mMnU\n", "Eu3722tzG7AOvNsK+nUclECJQ+MfR1Nyu/CybKDBOQe+cZ9FOzDQ9XQ9psFeZi4RnjO6XvWUxzQU\n", "NCLhI9bfp3oqZ9Rt+CsHGrVEtRee8piSp78zwVPCA1E2inqs3YvLYxp8fazHVwt/5cJTJaaxAuCi\n", "lPAVTIcmvP7zGNsHAK0Ha/XbvgLANzBtdD0mYPNmOSazUeGpNTQJYuuxc3jHFiJ4+muh5T+Cv/iO\n", "x769J330/ziAD7ZtvIWz1uGzoFHKmdgx8GcArsYSyDKBBhtnb2CwMWWmocLU3qvwsB6Y1a998BLJ\n", "FjRK1U0MSrYPPHkj1VM50GAm4+lnQHiR6W/OqDOTqYHSinkPdCecx2TWjbpZbLaGBjRKTEONWsmT\n", "1mNvRReUcqDhMZmafmYWfL2ACdOwVTj/iWZVtAfafN94xbzHZHKg4YGSbefNLd7bipmADU+V9OeM\n", "Oococ4vv2BGpMQHPNmjojsc10A1/9QElHgMLK0txEq3Ubpz1jmwbPg6Y9tK8EIDnTbDHl2MCdoJp\n", "TsNjGmyca/1Xse1K+nnFeQ5Utf+3APhTOu9IeKoW/tIJnjO6fI5q8PR6M7MBpplGyagPDU9xTiOq\n", "30tUM2h4ifDLU+rc81z4yDoEqt9uG2OvIYPGP1X67zENvvaqf32zTjp/7n/OqLNDZnVo/zlnovqH\n", "gJLq34FumAvogpIdsx4osUOpQGb7v7CS3UZERG6GXxUBACmldNh8ujRYanFLz2ixUdTXNQArbXml\n", "ZzxzFNRjEJYJXInmYTEcnsolqq1HFun/1wGcCuAuTj88/TaRz0zAY2I2pFQy6qovwjQ8JsBJVvb4\n", "1AvnnElu7y8PlKx+vj59wlM5ppFjcNo3bwEpMw1OhDMo6bVnJrAf02XdFkj2mleN4a8C+OuUcJ1I\n", "x6jz9WGmYXMcDBo2Ua3ffQ7d8ZNjAtYh8EAjwmRUf8k28Plo3y1gw7zyvGenifNkuf4vrGRBI6V0\n", "SO67LSolb2UV04PfM+o3APhgSkgiU/F+j8nw4KkxgW8C+AH4JbfWqDDtjernJKXqqumPMhlr6GtG\n", "fS/6JdpL4SnWr164p98yjT3mWAalkv6cUfe2cWFgV/07EU+El8JTHmjob6rB4rHP4SnWr6Ch5bua\n", "+N1H+r3rw2NM3zPTYKO+CuAPU8KNItVEuGfUeQfpVXSZzDY0C1+/ie684THsOZQ8ZzzQWAOA1jbw\n", "vCnp90BpoSW8YaGIHA2zlUJK6dK59Gi45Iy6HRhMsz0v56Xt/5zEzTGNnMfqMRSdmNa4CfKJcPbI\n", "cqDHhjganqoxJe+8VX9u0gOTTRV58paYBjMBy2RYv3rhJSbDGy7WwkcRpmHB3jKBsH6zOJC3pmfQ\n", "sOEpa5xVP4d3mIFyeKoPKJWuDxtZCxpe+MiChoKSZ3RzTKZk1O182AHgva1RZyDPOZQ5JmDthT3u\n", "v7b/R/Xn5tZCy0qtgYg8WUS+BOCrAD6Epqzu3OJBmyNs3KwRyRktvuHW2/KSxLVEuAdKXnjHYxq5\n", "5wz30d85T6PP83StMfCMrg1/CX3mGRULSjvRTSTm9DPTUE+9pp/DU55RVyNVAyUGRsDPaXS8XcRy\n", "GjxOVJeGjyLhKcuWc/33jPrtALbpGEjJ1V8CDTbqPC5qTINBQ0Ec6Bpdj8VzzoTnrleZuB5uQ/ee\n", "15hM1GHS6xXVzw4rs/2FlchJ/C6AxwD4YkrpPgAeD+ATc+3VMLEDj8MhJW+C47XsDbGBtfojnrrt\n", "lxf/tQOPQYknVx/9JaOrTIBjv57xWQPW8zswidjccar/NqddDjTYU9+Psn5eI2GvT8moW1BaRffe\n", "2uujoQ8tgV0xenSnW2+dRsmoe0yAw0dHAnhO+1kkPOWBEuu3570C4D6k3wO9kn72wnM5DV7cx0a3\n", "xGQ8T91ztOx90zHN+j2HLwoa9jjbf49p1PTbMbDQEgGN21NK1wBYEZHVlNIH0ez9v9Wkb7LLu5nW\n", "Gyp5ox4TKHnqdkIz06jpr+UcPP2eUbT3+kA0nrQ1uiX9OaPoeVpANzxVYxo5JlDqPyeJ9focB+Ct\n", "bRsuee4bnvJKKx+L6a3vvZyG9t/Tr/1gprGGZhdjq9+CBuvPVR/ZMbadzvtITBw+C0re9SnpzzGN\n", "A0TWn+myDd2cwwFo8kSs33NW2FPX3/PK4D0m0Cc8lbMNrN9GISL9twyR9S+0REDjOhE5FMBHAPxf\n", "EXk1moU8W01KA8NjFZ6htEwj4k14nnTOI1P9HtMoTRxmMjx5vfCXnlMuJ2BBI8pk2KiwUSyFp/T6\n", "HAHgD6ivkfCUl9PgPZjWAJxg2ui99Dxpj4kxaFgWpNcH1Cay4jyXE/DCU1Yi1VPV8BQdx/ojOQ3W\n", "z2PMggbQbH2u/bDrg3ZisrC2lGgvMYFjRfDITL+YaeSiBCXbwI5cDpR4XnqhcQ/07jSg8SNoFk39\n", "Ipoa7osB/NA8OzVQchSRDb8Xm7XeBHtbnjed84asfg8MbCK8RIUPRbPlBhv1nP4SaHAbYBo0bLtf\n", "MfsX2QlhPV0OH+WYBhuHg00bZho1o2X773nhCRPDpW1KJbc5o6h9s8dqOyvRnIZndNfQBQ0FFyt9\n", "wlPeuLbhqQhoWCZQ0u956vvbsKUVLfCwoJFjGtEoAQCcD/+66toK2/+Ifs+oe/pzTIadJnYgPVBa\n", "aKmCRkrp5pTS/pTS7SmlN6WUXp1S+tYd0bmeEjHqXk7DTgimoDnDZT1zZgK5yQV0vWvQtuG2/4dj\n", "euM71fVUc9x+Oo5Bw/O0gDzTsBOEmUwpPMVG3eY0LABZw8JMwzPquf5z5ZK9PipeeIqZTE4/swgL\n", "mLk2pfAXM0SPgVrAU/3R6imP4XrhKSt2/K9gMiZYf5RprItZpW/7dQAmTKM0fnJMwF4fb87kEuHe\n", "3M2BxoNF8E7zGevvE5668zINEXmKiHxJRG4UkZvavxs34sdF5HQRuajV/6uZNq9uv79QRB7utWml\n", "NDBKOQ2e0KXwlLa7C7pbYEe9FfXKbOLbAyUFDe7DfjTe+n3QHdhDw1Os33qF1qj0zQlwTqNj1M1i\n", "MhsCska9Fj5iL9mCuEopPKUTekq/0zer30rfnIbnrIjRxYadq6eUfar+HFOyTKbENNjwMmjwdWVQ\n", "yoKGOS97jl54qtR/zyGz+nnOeIlwzyk40pwDG3WgWUflgY2CuO2/By47jD5re3gML6xETuIVAJ6c\n", "UjospXRo+zfzanARWQXwGgCnA3gwgKeLyIOozZMAnJhSOgnA8wC8rqDS3pTXA/gp+HHLQ0VwILo3\n", "0zKNSHjqgWieRexNrieK4ASUmQboWB54R2ACSpyoVj0dUCL20Sc8ZYFL+2l38KwZXe67Hu8lwlWs\n", "scmBUgn0GDQiTMMymVrOYa0Fdr4+Vpjt2LFjDV4ukewxRCu8YeFd0DxnHZi+rtx/Zhrcd2B6bFjQ\n", "sEad9T8MwL1RB411h6Ydm14i3Ov/uQC+D76nruI5ZF74yBuff4pmc8Jc+OvWgH6v/zq/XonGVpWi\n", "EAstEdC4MqX0hTn89skALk4pXZJSuh1NAu2Hqc2TAbwZAFJKnwBwhIjcPaPPDozLAbwavjdxIprn\n", "ILOBBbpMw/PmdGDcFc2WIF4boJlYHrvx9HsT5zBMPwHOGt0ddE4rAO7fXKdOQtsDPCAfntLkPIOG\n", "APg1TJ6F4RlFDk95TMNOQPbmX4nm3sA5jvV7O8ByToOZxo8AOKWgX/tWWhltRT1PbXMiJluDl/R7\n", "TMMLT7HhOgrNkw9tvzyj/gQ0T1/0cjkl/dHw1OvRAFgJNCzwaj9yTMNjksD03OXwFPcrlwj3xg/r\n", "VzsANPlbb07mSoY9p2k7fNC704DG+SLydhF5ehuqeoqI/NgG/PaxAC4z77/eflZrc1xGnx0Y/wng\n", "PEwPPOtxsdEF8guQeGB44RHrrRwBAiURPAENGLB+zzAeAD9RrUb9YEwnPLUqyV6Lvolwj2nosT9K\n", "+kuTXnMabHQ90FD9T3L0e5NXj889V0JXXXPO4ReC+j22aUMTMO2s/geg2Vepdn2ORbP/WALW179I\n", "JpFsDeNdMAEN7/7qvXsttamFp1Q/MwG+PmzwaqChIJvTn0uEs34dh3vMdzmjrqDhJapr+i3T8MDS\n", "5jS80LXOr68CeAZ8UHqUCBZte6YpiWwjcjiaC/l99Pnfz/jb7LnlhD2EzHG/cCyw62dELjwd+Ie7\n", "Ak/WbQY8Cnotujd8VQT3RQNIpcV92hd+QA4PPMsUtA+Pb7/zwl88cbzwDoOG/c1taHIgKjWjm8tp\n", "lMJT1zn6c5P+IEz2ffLCXx7T+CaAox39nHOwE5H7b+8P73L7OkwcENZv++8xDfsZTDurfwemja6X\n", "qNZ1JF6BgRU22AdjUurO99fqV/HCilb43pXCUzrGrETCU1aXZRre+MwxgVW0rEUmLbxxZ6unSkwJ\n", "aJYP5EBjD6bHPtB1HDzboO2uRvN0zePRHZuq/0hs4pIFETkNwGmz6KiCRkrpWbP8QEEuR3NhVY5H\n", "wyRKbY5rP3PkVZcCeGNK+JgIvh/TTMBS0BsxnXA7rf3OCx/lQhg2TMNhKKal+gAWL6fBEyfnqTNo\n", "aOx6FU0ORKVkFIF69dROuj6rmHi5xb6LrAPOHkxfQ49pqPF8E4BHm2uUA6W7AbiGNo7LMRlbNruK\n", "7qTP5XxOQRN6hPncAw0+livvuHpNx8ZX0bASdX483ax/BfmYvWe07mb6FWUa0fAUTJscKOn9trq8\n", "kl5P/xfROCjsqXv6ec54TIPHz/sB/D6AY9Cdp9e03+e2DormTCwDtQ6rypXYREkp7QKwS9+LyEv6\n", "6qiChoj8CSYTD+3/NwA4P6X0D31/0Mj5AE4SkXujeRrZ0wA8ndqcg+YRqm8TkVMAXJ9Suiqjj426\n", "ZRpstNSb0PDIKqYBqzQwcuER3Ta7D2h4+i3TsJNX6/oPIv3b0A3jsW5r1G3SM8cENGeioLQNzUC7\n", "l9HvVh+hqfK50Rh1D5S88NR+NCFFq98D1GMxuVeqXycqM43c3lOlRPU90TyaE6bPnmFng2TbMOhZ\n", "/R8AcL3xnL3KKdVvWQTH7O1mmlb/W9DcpyjT0OtTqp6y+t+AxpMuMSU9zuo6GM3zWPSznKf+H2hy\n", "juxwsH4+70NJf84hU2eCmcxeEZyN6SjEigi2AzgEfiKfwYXXYmmbuwBASlNhzoUT9h48OQBNYveL\n", "aAbLQ9F4/88RkVcN/eGU0j40gPBeAJ8H8PaU0hdE5AwROaNt8x4AXxGRiwGcBeD5JZXmfGy5or1x\n", "9vnUbNT1ZtoKldzAyOU0dNtsDomtYvJ8Zqbt3gTwtuFQQwE090Q/U6ZxFYC/M7+xPmnahKQCxg4A\n", "+1JaN9hWvxeeUtBIAM5uvy8xgUPRMDnbj0gi3Kss80DpGABXUDt1EkrhKevxlfRzP8To4gqeRG28\n", "IgpP/6Wm3XbUjTozjZJRT2geixoJf1n9teqpVXPc1ea8a+Ep1X8IJmEZj2lwhSHPXe77+nm34/pu\n", "aEKc+ps5pmTvJTOZf0Zzjfm6PgzApSmts5FSziQXhfgkgN/AEkgkp/FfAJzaGnmIyJ8C+CiA70Lz\n", "zO3BklI6F7RjbkrpLHr/gqA6z6hzTuMzAL6MaaOuN/cDrTFVfXZg5CioNbolprEK4O/UgJv+5qj2\n", "bZjuwzZHvxr1FUwAjyel/azkUXrVU1Z/JLR2GKbXE9SYhp1c9jjP6Oq1se3USbD6+bpGQcm2s4Bj\n", "Qw7ANGByzDtnVFi/TbBaYaNeC09Zo5s7b9bP4alcotrmTJhh1cJT2i7KNEqg8ZNoymX52h8B4NaU\n", "3BXt7NSU9OtnDDbbTN+B7vhh/RyeWkHDZG4C8DIsgUSYxhFAJ+N/CICjWhDZ4x+yKeKFjzreRErY\n", "i2ZtiPUwOjfX0efFvXNMQ40lV014+l1QMmzA24XWgoYFvW2knyel/SznUdaYRtRTt4vQ2LB4oGEX\n", "oXn6eVJ64OIxDT6Wj/OMA+tXb90aAl7Jn2MaVr/Nd7H+WnhK++aVlHqJ9hKDs8LXRyv2gO41yxl1\n", "D5Teiia35o07yzR4/Njr462013FxK6arIVfQlMDbXSpKDlkufATnMwafIfo5p7HwEmEarwBwgYh8\n", "qH3/OAC/JyIHo6FzW0VKTKM0MOz75OjjAWr1r9Gx56EJo1kjnkvosWG0xmd/SlijnIAFDatfw1Ml\n", "ow7kmYaXSGb9HtOwRtEDbKu/BBr2uSWlnIONSbMXqxM1xzRW4F+fnFG07TzA9wAtl9Oo6Y+Ep1ZR\n", "XifggZ4XnvoqJlujs8HzGGiJiXmg9Do061U4PKVOCCeqPVBl/Tx37Wd2fNlcQQT0craB9dt+RvTb\n", "RaUe4Cy8VJlGSukNaJ47/U40Me1TU0qvTyndklL6lXl3sIfwjeO4Ig8MS+O9geEygfY73uJBgPXF\n", "TFdgGpS8wZOj0JoE1z5Yo/4aAF9BF4Qs02AP2WMfnnHQga5hH+v5e0yjZtS9MJZlMsw0eOWyBaVI\n", "zkHvh3UatG/W42NQioSntqPJAdliEAuq3Ac+b9bP98ke9z5MxPZ/BdN7K9VAz2MCT0QDHHDOvVY9\n", "5bHniIsAACAASURBVBl11u8Z4jU07PPmTGiWmQbr95wVOyeZjUT6n2MC7CSw45jTz+EvZjKeU7Cw\n", "kgUN3dJDRB6JZjHSZWiqVu4hIo+4Y7rXSzxvVwcBG7wc0/BAwwtPlZ51wPpy3ipPHNXlxexXgPW4\n", "6LuRZwJrAGBW4q5iuorF26NHDdJvotkexYKQt1tqxBO17fSzvzLXT6+rt0cSX3svJm3b6f3424x+\n", "ZjKl/nM7a9R/xOhnZ6JPIjzHNJ6CScEEs4jcLq59mMAasB4ChdkqhUGDPWkv/OWBksfa11rdOua4\n", "/zmm4RnsTs6BxnnO4WMmVkqEc/9zbIEdPrYNOYd1KaQUnvolAD8D4A/RDduofM9cejRc7I1zcxrt\n", "d/xZXyZg9ZdAw+Yc+oCSZ9TtxNxH+vi91W9Bo2TctgO4PSXcJIJPoQJKTt9rRn0VTcjtTSJ4Nrrh\n", "o31ojIpn1HOeNLdTNvCbIvhB0p9jMnztPaOe0FabAUBKOFcEN8HPV9R2SC4ymfY95z7suXthvxIT\n", "6GPUPaZh+6/G214fC0quUTfnyHkbvr99wlM81lV/bu4mTD8GOARK1M+IwwdkEuFYIskyDQCvF5Fj\n", "UkqnpZS+B83iq5vQ1FE/9Y7oXE+pJcI3gglYUPL2PmL90US4nYQ2PKWfWYPBiW99z94We2CeEfH0\n", "M0h4W2x7Rt0LT3nervX8E/xEuBc+Uv0euFiD7en3+s9hjhwocXWTvf5Wfy4RzkbRYzLsEADThqsU\n", "nrJMQPV71z5n1PX6RFY818JTbGT1WnhzS6+PjjlPP89dnm/sHLF+6/io/tzuxLmchv09mM9L1VNe\n", "+GsppAQaZ6ENk4jIdwN4OZrNA29ov9tqsgZARPBANDHUWoXEECawIoJjAIhZ5+DFyyPhr/WBRjuq\n", "svHReLkaDE58W6bB3pwXnsrlBKz+PonwSM7BHsuPUPUS4fba18I7Chpq8Fi/F54qgZLHBOx11evN\n", "+r1EeM7o5rxwBSRg2nD1CU+pIYvmHHagYZrMSq3+kqeeA2P9LMcEIuEpL+fAiXbPYbLG34KGXb/j\n", "5f3s9fGAxdOvtuG+aLZd8tZpLI2UwlMrKSXdOuJpAM5KKb0DwDtE5ML5d6236MTRHXl5nQZvIWGZ\n", "QGRg6PtvmDZ6rA0p9cmZeOGjP8KkwsUzGGpYdDJ74SOr3xooDzRYPye+a0yAPa1ceEqPtUbcGt2S\n", "ccjpV6Nrzz2qf8ohaL/zmMAQppHTnw1PtRVzuuGiBZxV+A8ZKun3mGUuPMXAyPr1utjrE2UyChoe\n", "E7BMabU9b+1LNDzlgRLr3wdgmwj+Fs3cypX0elEIvg5Z/WjWgKkeBqClkRLTWBUR3bbiCQA+aL6L\n", "lOre0WK9IWACGl54Z9bwlG3DoQM24iXQsINddf0QtfH0M+jlQMNOVu3/B9HsfcT6vfDUfue9Pc67\n", "NtmcRvuZZ9RzifCIfs3H6HnmwlO1/ueYwHpOg64PM41cSWwk0W4NNhte65hEFg/2Ner7MHlwkErt\n", "+pTCU1Gjbq+PHvdhAA8n/cwQ++q3jtVTjR4LSjn99jqUmJJ9dC/QDV1z3xZeSqDx1wA+JCLnoKno\n", "+AgAiMhJ6G6Ot1VEjQ+ATshHvTQGDRue8gYGDzzr7XIbZgJRpsGgkQMlj2lY6u3FTnNMZgXNlgtW\n", "fy2n0Wdx3/MwWRlfAw310vqGp2w7Nuq58FS0/7Wcxh50t3Ep5TQioMRJYmYD1vjw7ru58JH1kmtM\n", "43Y09ytnFNf7IIIz0ZTt9mEyOl49/XqsHneqOcY6bZYJWDCz19DTz2NYhUHPYxr22pccSg80bP9t\n", "6HQpJMsYUkovE5EPoCm3fV9KSS+aAPi5O6JzPWUvJns/qeggGMI0vLhlhGlEcyaaqGajDmrjGfWD\n", "MJkMFkS8nEYJlKKJcI8JrHusuvleW8r5ePjbiORyGp5R5/BXyVPfCR80LNM4qNB/z1O3hQgMShY0\n", "cuEpzpl4MXvthxf+smzAu4Z6LztsRAR3BfAgNHuQlZiAZRq3t+fI4SPLprQPzzHf55iMvW9oz41B\n", "yRpdCxr2Glj9dgxz/2241tOfTBsVG57ahukCA65KsyBl2/EYALAeZvTm1lJIiWkgpfQvKaWzU0q3\n", "mM++mFL61Py71ls80NCJw6DxMEwP2Eh4yg5sbeMxgVOD+mtGXT9jUPKYRiQ85TGloYlwz+PT/nP1\n", "VymnEdFvAfWVaDYt1Hb22lv9pUR7CZT4nrBRvxUNaOixe9Evp2H74SXa92BSgsygwUyJPeI3A3gI\n", "sP4cej2fUngnGp6yecFceMpzwFS/NbrskOVAgwtDcv3fTv3n8JGtSrP6mcHlchp9w1Pahm3PUkgR\n", "NBZM1GOykjO690Gz3cG6l4Z6eEqNA+tnJrOGxts7EN0JUQtPRcNfBwH4ZUyMWy4RntA1gH3Ca6cY\n", "faUV4epJW12ga8GGpVQS63mUXj7pINOuxDR0QufCa1746CHoGnWPaRyIbv93oBtmcvW31TXPQPee\n", "cHjqRjTVf2ywLUDbsckhLP1e9VtQGhqe0vttjav+ZiT85YGSNcb7HT127NRAo6a/FJ7idTJPQLPp\n", "pn1OfCnRngMNa3tG0NiikmManlEEfArqTRz9fDcmxkrFJtoVlHTw6EArgVKECbB+3d7dTjhvnYae\n", "FyfCc/r1+jwUzcpnD5S8nIMHSqXFibejuz9RbUW4Nbp6be2zpnNMwwOlmv6DAPwgGiah+tlgMNOw\n", "+msrwn+lPdb2IwcanAj3rjWPYY0IWNCz+nV9woFGlwcabBS1/zWmMSTRbpmA1ZNjAg9B45TpuI7q\n", "L4Wn2DaoQ6mfsX5rG6bCU9Rm6UBjK1ZBDRUPNGpor+GjnFG34SkPNHSyWsOlfVDKXAIlz/tl/dtI\n", "v63j5/CXl9MogZI3sPUcVZ9d3Jfz1PUzDk/Zdtq370MzKT+EyYTejolHy8dZo6WAKaYdG/XIOg2P\n", "yaygMUZA12O3xgyYDh8xsynp/1r7PRt12/+b0Hi6zDRAezd5TEm3IHFBo421X4qGaddAw943fc9M\n", "wwONo9EwVau/ZHSt4+OFDznsBwAnmP9r4S8ttvCYBoOS6tyDLihx+EvPvRSeGpnGAogXPvKMolb2\n", "1Iw6e9MeaFiKq4ZSQcMyjUhO41Y0xqjWf43N2gmXA71oeMpjShw6KCWS9TOdmGz8bT+0cqsUnuLw\n", "l/bdPkRL9XNO4CQAf45po54DvTWj/66kv8Q0uP/2+jM70GuoT29kcLH6b0QDGvr7HjB6ifYVTDMN\n", "7/pcAuC+mPbUPaNrK7G8nAazSC2AOIz055gMF4t44Slr1NVZuNnoK4WnuORW5XbTxoanlGHWmBKD\n", "3p2KaSwbaESYhg4MHQheHBaIhadUf4lpWKPLA9uGp25As5o0pz9n1Eug563T8PTbieOBRoctpLT+\n", "O/Y3E4AHtv+L+YwNC09MjylZwLY5jReZ37XnaI3id5s2bNQ9T9bq/7H2e8s0WL8yDY/J5JjYGrrj\n", "S/vvgdKNaJ5hg0JMXT1zTrR7T4fk/us4KzEBvR6WzdrwlAJth2m0D0F6H7og4VVn2bll2TKH0ZgJ\n", "6Pywnn8pEc5MBm0/mWnoeR3cvtrroeGpUnVWjWnswxLJsoNGiWnsALCWMYDAZCLq5M0xDfbUrf5a\n", "+MgagxxocP9zOZNaTuM2NGsoWD/HoHOgVAO9NTTPfQe64SMOYej1YVAqlVbq+//Rfm+ZRm7xVN91\n", "Gkdgcn1KTGMnmmR2iWl4+lfQPF8bmIxTD5SuBnB30uWBhree4FDzvR7LTOMWNA9EKiXCmSHqe8s0\n", "vHsLNOPM5kwiieocaCjT0M8/2b7uNP2v6dfwFFc+eolwDzRy4akI0xjDU1tcoiW3bNSByeQqGd1b\n", "MRvTqOU0bgBwuqOfva1oeI31Xwzg1x39q8DkOeLIh6dqOZODzXeWCTDTsG3WMm08T307HavtvMoW\n", "7n9OvwUle285p2H1n42ul6/jLpfTUP3fZnToGPFA6Uo0JcVWF49Nu6BTDfh3YbKOgpmMvfY3owEX\n", "ywRy1VOc01C9ufAUMAGNWvUUMwG9XgBwHSZza33sp4R9AD5A/S0lwnPhKW3D4a9/a1/t9d6PPJOp\n", "ldyO4amNEhE5SkTOE5Evisj7ROSITLtLROQzInKBiHzSa2MkGp7Sh89HBoad0LvRNYzappYzieY0\n", "bgDwrIx+a7BLoFQy6l/FtHhGSxkTx5tzTCbn5Wsbzre8qX1lL7kUPrKhAT021//vRPPsetXvXUML\n", "tAnT56AGxtN/HRrDaL1YLnn2QM+KBQ2+hlcBuKc5Zw2tMNOwFWcMyPp4Zg80bsE0aLDR5TLrNQBP\n", "wmTFtjJMj2lo+M4a9RIo2TF2JLAODhaUuKTaA41SaNkDjanwVEr4TwAXYFKYofpziXDLNHKgNILG\n", "BsmLAJyXUro/gPdjEqtmSQBOSyk9PKV0ckWnt05DB4bNCbwTwJfQHXjexGSjuBvAC0m/xwT+uH2N\n", "JMJteOdmTAvTbAD4faO/Vv3FiXZPPxst3Z+HvUw2Dtz/N5jvSkzjtwBcjul4fC18ZIXDU+zp6nVb\n", "M/+XEu050MgxGWYpvADMS1Rbsdus8PW/GY1zYq8Fr3i2QL4P06Cqzo2ylFJ4yjPqagTZEQGAdwD4\n", "PLrXtRSeiq7TeDr9jg1PMWhYkIiGpzzQ8HIODBJjyS3JZoHGk9GsXkX7+iOFtpy8zcltAI6lz6bQ\n", "vg3DXI9YeMpO1t2YlimDkRIuQ/OUw75MY09GvzVQSAnnt32JVH/Z/t+GafGM4jfQAGwtPKVAa8MQ\n", "KiXQYJDzmAYzlBzTKBl1ZjKldRo8xphpMFjm+p8DPY6nl8JTfN88YNHwlPaNGbCG2vowDXuNmWnY\n", "SMB7HSbAoHEApo16qTrrCEzuwYvNeedAoxae4vCRAoEVq9+OXdY3ltySbBZo3D2ldFX7/1VoEn+e\n", "JAD/LCLni8jPVHReB+CHneOZCQC+N8GTl0MHHmjw4FRR74QT4azf/mYJNPhY299oItw+btO28fbt\n", "sf2NhqfsxLDVU7rGgA2qZ9Rtm/WS3hbo/9LoLyXC7bE1UNI2zMKsfu+8vf7nwlNrmC5wKCXC+Zy8\n", "c7ThqX2k//MA/m/7vwcau1FPhPOCzruY7+y9Hco02BG5l/nuP4x+b+7uRSynYZ05AfBsdCWnn5mF\n", "B3o6LtQJvQ7Atzv6PVBaeJnb4j4ROQ/NZocsnWRsSimJCHuSKqemlK4QkbsBOE9ELkopfcRv+ogf\n", "bAgMAJzW/nUGjx3YTMlzTKMGGl5oAjA5En1GAvLGTc+9D2jY/tZyGnpcjmmwUWQmMFVya46NMA3P\n", "KHpGXZBnAkB3YpeYRo7J5NZppJRwiwj+AROno1Q9VQIlBj01GJ9DV64p6GcG541Nved6bS83370v\n", "pU7pLYen2GEqgYZes6+Z70osEvCrp7zwl10g+U4Av2rODSiHpw4g/bW9s85Bs3YHaBYeaptSeErn\n", "Sy7faefuV9Ds/mtF+7ClSm5F5DS0xnGozA00Ukp8EddFRK4SkXuklK4UkWMwSU6zjiva16tF5GwA\n", "J6Pdon1aPvUKlBPJHBPmWuwh4amS/hqTYYPtgUZEPzODXP89puEZLetBWv01JpMDjVq54hRotLvm\n", "JnTPKQcaJf2l8NQ6k3H02/BUCVQ50b5GbbYB2JcSbhbB+QAehaZC5zXUj9K4yAHjek4jJXxSZL1k\n", "20YPcuE1ZjJe+GudaaSEd8kkgGcBNcc0vPBUTv9aSvhXo58dBw807OLB0joQBfZbzHe8vTwzAZ1b\n", "e0z7mkNpQfsMo9+7PpsqKaVdAHbpexF5SV8dmxWeOgfAM9v/n4nG0+iIiBwkIoe2/x+MZvuJzxZ0\n", "Xmf+f0T7qt4Eh490INg4+5DwVE4/68sZt0h4KqffMg2PjXD/c+GpjsFo6XbCNJPhwc/n6IWnPE+X\n", "ja7HBPRYC3rWcDAT8HIOJSbAiWqQjt+iPnigxGtIvG0+bN/0mnyrXVxm+18aF97YVKPr6bdz2rv+\n", "fF29c/Q2qVSxoTvPKO5FlwmUqrN4zNr+W6Zh9Xs5jRwTs2zZfsf6mWl4i/t4buXG/ntMGy90vfCy\n", "WaDxcgBPFJEvAvje9j1E5J4i8u62zT0AfEREPg3gEwD+MaX0voJOe+MUQDwvEJgeGDmjngMN3W4i\n", "p5/1lUp6vUT12UZPSb9WN0WYgNX/FdPGWxynhqpWnZULT/2L0097XM6ol0qG7cR+FrXxztsLT7EX\n", "y58BwJdTwpfa/6OJ8Fzeg8tFgW7SPZoILzKN9jM15p5+Npoek/ES4XxP1n8ns/W66ucV27VEuxVb\n", "uaag1DcRrlsKqWPigYbq98JTO027EtPwxqbdx8oLXS+8zC08VZL22eNPcD7/BppdRpFS+gqa515E\n", "xQ4Mm2jkklVty97ENnQTojyZlAk8IyV8K6C/BhpsbNaZRkrr21nkQMNLhNeMrmUaD6Vz5EFtP7eg\n", "VNJvQUPLdnNGN2fUSx73uv6UcFGh/zkm4yXCbWjCy6vVQEn150KP1osVerXtSgyuBBr22q7Qq56T\n", "d/3tWBzKNFQ8UNqGiZPiXcMS07ChwVwivJbT0DVbtnpKxTIZb97sR3cnYrUVNsTF12wffcf6cznb\n", "hZTNYhrzEL1xfw50PEWPIupAK5XccniHt08u6bfVU/o+ChpnOm2sZ8f9jVY3rTONlNbXhHheZk5/\n", "LdG+PnGoUmpISazXNy+Z6N23HJPxqrOsQdLfqTEBvR76fekcvfDRUKaR89RLoOExPU60e3mbEtOI\n", "hr+s8cyBkqffgkYpfFTKmXRW6ZvxCHTLnT2HL8c0uA07nSr2vnmh5YWXZQSNC42BzQ2MaCLcM4o8\n", "QYrVUxX9Xk7jo6YNV2lY/duA9QfFAPmEJzONq0wbz2B09GPiuddyDl5ZYc5oeYlwz+PLhQC4D7Xw\n", "US48FWUC3riobSg4i/4o07ChGy+nUWJ6DKBs1Hm/LhXLNHLhr1r/S0yDcyY5/TYXxUbd29pFhaMQ\n", "nsNXC095yX4AeGFK6zsZ52zPwssygkbJgNi2XngqYhQ9pjE0POUZ9dIEt597q1ZL4SNlGk9w2pT0\n", "axvPqHvXh6l6NKfhGU8bby6BhmfUS+Epz6h7Uiq5jbCpqFFno8VGMRKeUmO7EYnw0orwaHWW1Z8D\n", "pUh4ygvf2acpevotaLDB1mKa3NzlKISXCOeyYm17jWnD43xpZJlAYz+9AhO0j4SnOATgJfRYf85b\n", "4YmYS4TXwl/ehPb0ecYhVz0V0W/1RcNf2v/7OvojOQ0v/GWNg+r/OJ1jzssvgZKOC6+GnplALidQ\n", "MrpRJhMtifU8dWYa0ZxGjglEE9WWaeSYpJczsfotKLF+3WMuN3eVCVjQ4OvDOQ2V30gJN1b0RxLh\n", "e9Csui/ZBss0RtDYikIhKRU16kPCU9GBkUtU1/avyRndktdmP+eS4RrT6AMaHJ7KJcI9prGb2kTW\n", "UeRAiY0DAJxW6b+nv+OxmrJiC0p6Hi8zukpMoMY0mAkoWFzotOvLZLQPnv5PO/0fAko5pvGmAfpz\n", "ORP+/K0p4YvmuFzoNwIaO9EtqWYp6Y8wDRueyjmsYyJ8QYQ9uVwivFZBciuaPX04bpnLadTCUzsx\n", "vceNfS5ALvyVyzl4oMShIS8RzvpLTENBI8cE7Dnl+t8xKs7zS6aMeuGckFLnGpZAI1LSa42PtPr/\n", "D7WpGfUS2/HCU3bTy40suQWA/Snh1aSrFp4qJcL588+lhEup/zmmUep/DpQS/Z8L/dr7pteQcxo7\n", "gakCkoh+ZhocLgT8Ve/2FZjYhjE8tQDC4QXPm+CtDTymoVuhl5gGGyiYNuyt2IHu6c8xjVqiWtt5\n", "TMNO3qFMo8QEDjB69bWW0+Df5cS4beMxAU9PNBHu3aPSvkBDjbr+5lR4iip5vPsbTSQzk9HPvf7P\n", "kqgu6c/13zPqOf32czbqufBUJKfBW5ew5Iz6PjTj2vaf9XdAw9xTr/9jeGrBpOSt1EpilWmwUbcT\n", "p094ynovgL/bKBAz6pYJeOfj9d9jGjrhvPCXBQ1v5e9+NBNHwWK3+Zz7mQONWsltFDQ8Q1xKhG+E\n", "/rXMe/2MQWMbpiUKSt6KZ2UCvPDN079R4SO+j55BVQa317yPrtOIhJbZQfL08/5Unv6obfD06zND\n", "SmEnO+7G8NQCScmbALoTh0MhygRKccvSwPaYgNWvoBFhAtmSW/Pee27CkZiAxaDqLFNW6pUdHmr0\n", "6uKnKOhZUMqV3FqPz/PWPP2RRLgeOxX+IolWB0VyGvzUR3ts6Zp54RENT9WYhgfauf57iXDvnrB+\n", "djr0vtnniZf083VTyYWW++Q0SsY6xwQ4POXp5/BUSf8YnloA8XIaXtwS6E5MO9AB8tQprMD6S3tD\n", "6XsPlA4xbfqEp9iIs/el+o9CHTRK1Vl24nigdASGMQ0Of3lG/TY011+PtXuLsX7Py1djkCvd3Idm\n", "4us9OdDR73nSkfCOl3PwQCOaaPf64OU0ckyDj/UqByNMw/Pcc6XSFjSiJbeR8I72OwIaJWOdcygj\n", "1ycCGiPTWFApDQx+LYKGkUjOJBeeYqZxFCaL+kqJ5JpRzzENCxp9E+Hs7Xqg5IEGGwH2hq3+Uvjo\n", "VjSgqtfM2wk5xwS86ikGfgUl1X+Yo98zeB6L7FzDdkPChO49z4FGbdFkyahHmIYX9jsIk3GXM+qR\n", "nEYOVIFppmHbaMltCZTs3GImY/viMZlZwlOcuyyBRoTJjExjwSSXc1hzXrm6SY0W33Cug1em4YUP\n", "aqBxF5RBw6P/+nmNaTBozLp40CsUONLo3QNMVavkmIadiDmmcSua8Jdes69gWnJGfRXd8BT3Xftr\n", "QelpaJ7NzfprizJzbG0vGuNcYjKl/keZjL22HtPwwkeCybjIJaq9FeGR8BQz51oivFY9VXP4Skxm\n", "iFHPgQYDizemOMqxlIlwLzm36JJjAvam66MZbb6CmcY+NJ4ob1nO+tWLtfrvY/Tqq5eoPgrAV83v\n", "qU6r3zNIx2GaCdhN1oAY08jp90IkbPyZaZQeJ1sCDcAPH+2BAY2U8FkR3K2iR/uuoGHzMdyH22BA\n", "w2xCWdNfZRqtKGjo714N4CZqk0uEezsw8zMfouGpnDcfYRpr6F63SCLcYxpDEuG18NQBpp03Bjyj\n", "biUXJSgVhVj93j3n45YyPLWMoGEl562oKGtQpsHlogejeZ64FW9Fr5eoVh36nvXvQ2NUbgOgDx6y\n", "fdLjPSZwnKPfS7RHcxrc/5Mc/Uz3NaehxuEGTEvOy9dktQUNLzx1jD2nlDrbNOT0qzHQa5oDrtvQ\n", "hKRKJbde2E8NNjMNfl7JXnRzJt/u9MHrmzIB3lTSM7rR8JQHGnYXWi+8o7pLTKMESicU9EdBA/CL\n", "TIBmbOt7D7i8cRcJT+n8s3tgHYiuU5Qb1/xbSxmeWkbQyFFEb2Ao41Cjzt5chGl4Rt1OSNXlLb6z\n", "sWXum7YpeTTWG2Umo3Hd28x7e0yp/6w/l9M4HK2xTAk3iEzF7XNevk74hG6iuhSeyvWP8wkKvqWS\n", "VaC57h1Qyuj3QMm+quPA97ETnkqpmJPx9Ot2F55X6zGNz8A8ka2gX++FdQxyoJQwDWhWvPCUtjmO\n", "2kSYhncfIyEyr/+8ihuYBg3PqOv8VtugoGHvr9oGu106y8g0FlTU6+SBoYZZz98LTynTsM/YsMcC\n", "vqcFTK8CzjEZ+1jJkv7coLNG3SutBLpM5t/R9YjVqOQMp2VMQvq13+v6Upq6VnqO3lMP9Xvr8ZUS\n", "4bnjPRYBdK99jmnU9HseqxfeyYWnjqzoL3nqdjfWHGisn1dK689IYf05T/3h5n0pPMVAHu2/fe8Z\n", "9Z0AUmHFdq7/+6mtB+z7YVh8RnJGnW2D59wpaHBI03NYR6axAJIruS2Bhhr10rOCPf2ep2XFghJA\n", "Wz60r6zflpbmmMCtaLyfklHXY6xRfxTpUf3eo2CtDg632c9yxwL56imrXw0P36M96FY3lfTXYsse\n", "07gN0+yJxfPy9f/PmPfePdLwVE2/Z/AA4FSjvxPeSQlr7TPUa+tMSuEp+77ENHROPALA1+nYUk7D\n", "tvH0H4xpo+71jfXr/LNz91BMwnlW/7XISx+msZ36motCcN/HRPiCiE022htnDTsPDDUOzDSArnd1\n", "DYDPm/c5pqFiB57+Duu3T+yzgKRtPKOoK1JVuKLE/l/ztiLhL0+/flfKCdT0J9OGvU7td1+j6LXh\n", "SQ9MV62VjvWM4rtMmxzTAIYzGfs+t5VMDfRK4alam21o5omGHy9w9HtOkw3b5dp4oHEaJtuWl/rG\n", "oeU1NFECCxpq1L9B+i6hfnpG3QMlYJpp7MQ0aNj3uZzJwsuygcaJmFQjAflEuDfwgGmmAXSNule9\n", "0wc0ODzV0e9IziDpewt69tW2KTGBiFG3ej3jFskJlJhGLnzksbOcfq//bzNttmE6RBYBJc8w629d\n", "TPqHgkZO/1vM+1wxAYc8WUpGPdvGMBmuzmKJMI01NLkv68zdDgrvpIQPZfRHwkfANGjYsmJgOsRU\n", "S4SXQMP77GHogt7Shqc2ZZ2GiPy4iHxORPaLyCMK7U4XkYtE5Esi8qs1vSnhy86GcNFEOOAzjZJR\n", "z+UcPCYD+KARMepeGSDQjXvb38l9ltOfG9S2umyo/hJoaBuPwkdBKRf++ifTZiemHaQoaOTCU7eY\n", "9zsB3JWO9arVPP05pvE7ps3hmF7n4TkKLKWcw8fMe28MrFegFfSXnCZbfQQAV5jv9qG556Wxn9Ov\n", "evV+av84PAV0H3F8q5M/KYWnGDQ4PAV0HcoLHdvjreFaeNmsxX2fBfCjAD6cayAiqwBeA+B0AA8G\n", "8HQReVDP38kxDR4YfXIOVmpMg426p7/vpNfPrf4SKEX05wb1TtLheZQRUPLafDgl7DY6d9D3s4Le\n", "1aYN0CSlrQxlMh5oAMDRdOzQ8BSPO/3ukXSst+syi3d9tP33mzY7AVxU0JMTb/yoTbnS6LfvmIKT\n", "KwAAFL5JREFUAceoF/RHwlPANNMA4jmHvkwjol+vTQ14F042JTyVUroIAEQ4hN+RkwFcnFK6pG37\n", "NgA/DOALPX4qF7fMDQyPafQq+SSJMI3apF9FPmHIoDGECZRATw3vfQfqzyWqbdVS7rejRj13/a8x\n", "bXLH1vSXmMDN9J5l1pwGg4Z3bMrsiabirVxmz1nff66gJyfe/VUm8BTSb5PSek1qTMMDJdWv+hjE\n", "gVg+L+pQDgWN2txaWNnKOY1jAVxm3n8dwKN76qjFLUvhKc+79vR7nrpdmGR1eEa3pD9nFPX9f7av\n", "Jzr6+zAB1v9LAPY5q6SH9H8qPJXSZIK38fPcscCw6qlPY+JcbDRo6Lkw02DZR685/bmcBoPGq5xj\n", "S/dWf3sHnCKQlKa2hPcKAmoesmcYt7X6NYehOqwBjzINT7/OqeebNkA3ZxXRn1txrqPxP0i/BxoR\n", "UFoqlgHMETRE5DwA93C+enFK6V3O5yy9LraInGne7kop7cKEaeS8CX3KmTcIZvHUVf8b21c9l77h\n", "qVxO46sAjkppPRmroZcNAaWU8EqvsbOvFP+mp7+W0ygdC9SZxlSiMaX1NQjg7wbo7/TfLDpT0NBr\n", "wov3IvfXW4SWYwKfQVf2odx3bcOgx3PeY9n8XU5KTIB1WFbRl2lMgYZxPEI5B0eK4amU8Gek34a/\n", "vHPy9G85piEip6GpVBsscwONlNITZ1RxOYDjzfvjMV0nbn/vTO9j+MkoHRiXmnYg/VGm4W0h0fZp\n", "vVz329tXmwyMGPVcTuNJmM4BAMNAr7bOoXRsVP88QSPSB6D7bO6ofo9pAMAbML2r78uozVD9OjY5\n", "fMd6+jCNoaARYRq58BTr95hGNBHuRQlYvwWIKNMohadYv5czidiGLQUarTO9S9+LyEv66tgK4alc\n", "YuN8ACeJyL3R1Fs/DcDTe+rWgcFeMg+8o9o2vMbDvnriDWqgoc4nmfdK2b2cSW8mk9L6FhNWdqfk\n", "lgUOyTl48mV6H2VKtT16VP6M3vcBjdo9AoB30OeRnIlXPYWU8FxHv7fvU0Q/Xx823l7oVD+PMA0G\n", "jZxRH8I0bsf0cyuqTMOEJGv995ymCCjlrhkfV1rDxfo90JilyGRhZbNKbn9URC4DcAqAd4vIue3n\n", "9xSRdwNASmkfgBcAeC+aBXVvTyn1SYIDeYr4hwBeZN4f4hw7uLopJXw2Jfy9+cgDxllyDrm+8LH2\n", "Nac/OrB5nUMf0Iswjdxk3SjQyBn1mmEZqj8KSh3QSAnXY7KDa0n/PsSYBtC9v+xwlEIttXFxO6Zz\n", "JpHwFH+Xk9I6De6jl3OoMYHSbhEqOi7t+I/o35LhqY2QzaqeOhvA2c7n3wDwg+b9uQDOneWn4BjF\n", "dnWrXeHqGfU+Rrc2MDxw7pNziBh1bhMFpejAzoFSDVRrbVT4HkSrp+xrnz5EmUBNf1FPpbrJvUcp\n", "uWFGD5QiTMPqQEq4SKTzwKlZwlN7MT1+PobG0WMdXqhoSPjrE+juPF0KT9XGppfv/HPSfwAwdR+j\n", "DiXvp7YUshXCU/OUqFEcygSiFLQESptp1CNGdyP0zyunEQGlWcNHQ/UX68lJbwSUvPBU7bq6+ikM\n", "W6qeioSnOu3aPOHpjg6PadSu0VT4KyXsQnfNTSk8FXEmOkwmJXwKwKdMu9yz3Wv6de6WmOxCyp3h\n", "yX0RT30WJhDZkKwESrWBHd2GYBYmMIRCbzRozCs8lVsvMe/wV2Ru1daqlPRHq6ei+j3jVrtv9ul8\n", "Nf0eaNSu0a2or6j2mEZ1bpkcZ80p8wpOFjYRvhGy7KAR9aRnYRoR/SVQmjcTiBiMrcBk5gUaOcMZ\n", "zTnU9Oeuw1ZgGl5OI6q/dpw9JtL/IUyjtsDR6ljvvwkl1fofWUvBORogbhuWbgsRYPlBYyOMemRC\n", "zBKe2gj9nvQJrUSYwNCcSVR/DjRmAiXjUeZKNTeTaURAIwdug3IajpRAoyZ9QMPLadRAQ0vWS/q3\n", "A1PVkVH9CmQl/SXQ2CiHbKFk2UFjFqO+kUxjlpxGRL/tyxD9Q0Bj3onwjTLqKu5YDyaqh4S/+jCN\n", "yD2ahWnMCzT03EvzS7+bhWmU9G8vfFfTzws0PZmFaQAjaCyc3FFMY145ja0EGkOOnYVp9Kmeiujn\n", "e9yHCZT0aynmvBPhs5TcDgWNjQhPqQwBjQjT8HIOUf27gSxLUZmVaYzhqQWT6I2bNecwL/2JXksy\n", "JKfhbW/SV/9m5jT6eHM8+SNjP9L/XNx9o8JTJaYRDU9FmMAs4amSfq9kNSoKGiX9s4AGP77WEw80\n", "ImNfnQnv+IWWZQcNHWyHFVvNVt1Ua5PT38foRib0VgxPbQSTmVd4akOYgDGGXL6+UUxDF+MN3Uak\n", "pl/va+457iWJMA1+DkgfiSTCNwM0+owL3pJ/4WWpQaOlndn9qozMyjR2FtoAs4enIvdp3olqllkq\n", "izyZd05jCNOInKMKG68IaESMuu5Xxv3dqJJbdai8rWk2IjxVAo0NS4QPlAhQemvZInMLaBYJRsbB\n", "QslSg0Yr/JxgT4Ya9eva13tV9A8FJRV+AI8ns5Tc1vpf0h8Bpcg4mwU0ItdwXuEpFQaNDcmZmI0L\n", "ecfWjSq5Paz9nSGx90gifBamMe/wVAQ0huY0gIl9WCpZ9hXhQH0nTWBg+KjdJvtqYOrZ4X30lwae\n", "DuobKvqBYUZdvcx55TQObl8PKLRRGQIa/GTEkswrEc59GaK/2P+Usk7NRjCNv0Hz/JEhEmEa3orq\n", "qETCU7NUT5W2TlfxQCOyTQkQsz0LJ3cGpjGkssYeNyRfEWkT8TIv7/EbQ4y6hiTmpf+EHvpZItVT\n", "92tfI17ykJzGMe1rBJQuGaC/T/iLJVI9VTXqKeH2lAY9tQ+IhY9KDsNmV0/VHgIFOI51SuFw7tJt\n", "IQLcOZhGxIsemqiOytCS3j7S26inhH9rt6geYtQj1+ddAP4Ys4WnSvp11+OI/iHhKX1y4RAmELmm\n", "X4voz0iEaeiDoea1VkAZcAm03zKD/sg6jVlAI8IEStVPtTG0lKBxZ2AakRs3NKeROzbSZpYksSe5\n", "RPjghW8V/RFQ+moP/XyO+r6k/2+C+j+M6d2SI336i/Z1iNGN6P/39nVoIULtOC0CGbpWoHac7gZb\n", "YjIXpoQXZr7ebKYxgsYAuTMwjYjB3czw1JA1DJ4MCR/Nor9PvD9iQDlvow+uGhJ66khKeNzAPvVZ\n", "vMYSuaaRbSxyEqme0sqreTONeemPJMLPBPCezHcbEZ4qgUZtDcYIGgsqkXP0BlckCReVO4JpzKK/\n", "TyXREP21/p8I4Er6rM/YHLKAatFBI8I0Ip76LBIJT80i1TmYEj6NfCJ/I5jGJwDcNfNdbQxtRGh7\n", "y8mdATQiBuVKNIZrXVLC/jbevxErOodWT0XlGgAXzaC/NrkehWmjrnojFSg1JvBl5+N5g0bVqLfV\n", "cUP1R0Bp3qChnvTQMVYDAy2kGKp/I8JTs+iPgMbzC9/V7vEsa0i2rIyg0cgPIV/lUYqZAjGP8iGY\n", "HmDqxW6EN3I/5J8XMTMTSGk99u4dE1lVO4Qp9RmbQ3JzfYBgKzKZSCI8kkguSXSdw1zDUwPXkAAb\n", "EJ6q/HbtHtcW/S6kbNYzwn9cRD4nIvtF5BGFdpeIyGdE5AIR+eTAn6tO+JRwfUpTnrTKzKCREr7g\n", "lDVe277OzARSwo0pTS1UUrCIeFNDxkGfPYWGGN15g0afY+bCZDC5N0Mch0jJ7axMoyaRXWJLUrtG\n", "11e+n1VmdZpr46JmOxZSNotpfBbAjwI4q9IuATgtpXRtpV1JZj3HIVuEVCUl3NaGPg4NNB/yG4e0\n", "r5FtVIbojyzYUxli1PtQ+3kxgSFtVfqs0xi6jqXGNOYdnlLQmFf46JqBevvon+U3RqZxR0lK6aKU\n", "0heDzWfdu2XWnMS8vYWjAm2GXIMvAXhrcCHSkHHQZ3uIeYen5g0ac9FPjxztK3dETqMm8w5PXT3j\n", "8TWG/nIAR8+gv3aPR6axCZIA/LOI7AdwVkrp9QN0bGXQ+HkA/zQPxSnhmwCeEWw+xKj3AY0hoDTv\n", "8FSfc543KA2Zh5GS20hJ6Swy7/DUFQCGzPmo/lnyJUB9XPwOgONn0L8lZW6gISLnAbiH89WLU0rv\n", "Cqo5NaV0hYjcDcB5InJRSukjPbtyBmIb8uVkIxLhrqSEVwebznunzCH6+9D6rQgaWyGnoTJkHlaZ\n", "hqn+GjrPawZVE+1zGZ8tS37eDCrmPW9qVYFvnPPvb4rMDTRSSk/cAB1XtK9Xi8jZAE4G4IKGiJxp\n", "3u5KKe1qjsUnAQxNon8cwPsrbc7//9u7+5A76zqO4+9P2/pjlZotHNuMRVi5gctMm5PwFiHuKRQt\n", "IywCe5D+KfqrBw3cIixGIZGSxFgi9GChDdQ96KSGFlMYbXO6Wc4ytiaRFrFisa372x/XtXY7z33O\n", "95xzX+d3HfZ5wdh1zvntuj879/U73/O7ftcDp69R1JSiG/8MfkF+lDTucxpNF41Bd09lLpEDDY2W\n", "I5iSOELusOsS2thvipI0AUwMs4427J7q+IuVNB+YExFHJb0B+CDwjZlWEhHrZjtYBFclmq2m+Y0z\n", "++EwqL7z18P6zNV3B1o/zY9kmp4Ib7ooZY6eOqXBL4csHuKft3EE3Y+xKxr1l+kdpx5LWtvvOkod\n", "cvsRSYeAlcBmSVvr5xdJ2lw3Wwg8IWkP1VmZD0fEoyXydhPB8YhG9x0vp3qfmtTGzrUeWJRsO+4j\n", "jUF3T2W+TKymOlrxbNTG7XrsFRlpRMQmYFOH548A19fLfwTeM+JorRPB/oZ/xOUMf2hjL53O+O4q\n", "ghOcvnZSL4McvbOJ3rcBPqXTXe16yX6g3Ma0b359yBw9RUQzB1rMknG+q93HgN+UDlFCG3ZPWUER\n", "7Gr4R7yJZvd5r4L+C2sEG4GNiaZLgUP9rp9qdHxuIsc3B1g39Ld76mz0APCTplYewf1NrbvtXDSs\n", "URH8q+H172x4/X/u3aqjm2n2m/TvGO5Wqr08SO7E0EF9jupcokZEcENT6z7bKaKpC1SOjqSIiHEe\n", "6pqZjdwgn51n5USOmZkNxkXDzMzSXDTMzCzNRcPMzNJcNMzMLM1Fw8zM0lw0zMwszUXDzMzSXDTM\n", "zCzNRcPMzNJcNMzMLM1Fw8zM0lw0zMwszUXDzMzSXDTMzCzNRcPMzNKKFA1J35F0QNJeSb+U1PG2\n", "mJImJT0n6XlJXx11TjMze7VSI41HgeURsQL4A3DLmQ0kzQHuAiaBZcCNki4eacoRkTRROsOgxjk7\n", "OH9pzj9+ihSNiNgeEVP1w6eAJR2aXQEcjIgXI+IEcB/w4VFlHLGJ0gGGMFE6wJAmSgcY0kTpAEOa\n", "KB1gSBOlA4xaG+Y0PgNs6fD8YuDQtMeH6+fMzKyQuU2tWNJ2YGGHl26NiIfqNl8HjkfETzu0i6ay\n", "mZnZYBRR5rNZ0k3AzcC1EfGfDq+vBNZFxGT9+BZgKiLWd2jrAmNmNoCIUD/tGxtpdCNpEvgycHWn\n", "glHbBVwkaSlwBPg4cGOnhv3+p83MbDCl5jTuBN4IbJe0W9IPACQtkrQZICJOAl8AHgH2Az+PiAOF\n", "8pqZGQV3T5mZ2fhpw9FTKZkT/SR9v359r6RLR52xm175JX2yzv20pN9KuqREzplkT7SUdLmkk5LW\n", "jDJfL8ntZ6Ie+T4jaceII3aV2H4WSNomaU+d/6YCMTuS9CNJf5W0r0ubNvfdrvnb3Hcz733dLt9v\n", "I6L1f4A5wEFgKTAP2ANcfEab64At9fL7gSdL5+4z/5XAufXy5Ljln9buV8DDwEdL5+7z/T8PeBZY\n", "Uj9eUDp3n/nXAd8+lR14BZhbOnud5wPApcC+GV5vbd9N5m9z3+2afdr2le634zLSyJzo9yHgXoCI\n", "eAo4T9IFo405o575I2JnRPyzfjjTCY+lZE+0/CJwP/C3UYZLyOT/BPBARBwGiIiXR5yxm0z+l4Bz\n", "6uVzgFeimhcsLiKeAP7RpUmb+27P/G3uu4n3Hvrst+NSNDIn+nVq05ZfXr8nKn6Wzic8ltIzv6TF\n", "VB9kd9dPtWmyLPP+XwScL+nXknZJ+tTI0vWWyb8BWC7pCLAX+NKIss2GNvfdfrWt73Y1SL8tcsjt\n", "ALIfQGceetuWD650DknXUJ0lf1VzcfqWyf894GsREZLEa38XJWXyzwPeC1wLzAd2SnoyIp5vNFlO\n", "Jv+twJ6ImJD0DqojE1dExNGGs82WtvbdtJb23V767rfjUjT+Alw47fGFVN9GurVZUj/XBpn81BNo\n", "G4DJiOg1pBylTP7LgPuq7Y4FwGpJJyLiwdFE7CqT/xDwckQcA45JehxYAbShaGTyrwJuB4iIFyT9\n", "CXgX1flObdfmvpvS4r7bS//9tvRETXIyZy7wAtVE4OvpPRG+knZNRmXyv41qsnNl6byD5D+j/T3A\n", "mtK5+3z/3w08RjUpOB/YBywrnb2P/HcAa+vlC6iKyvmls0/Lt5TcRHir+m4yf2v7bq/sZ7RL9dux\n", "GGlExElJp070mwNsjIgDkj5fv/7DiNgi6TpJB4F/A58uGPlVMvmB24A3A3fXVf9ERFxRKvN0yfyt\n", "ldx+npO0DXgamAI2RMT+cqlPS77/3wLukbSXaq7yKxHx92Khp5H0M+BqYIGkQ8Baqt2Bre+70Ds/\n", "Le67iez9r7OuMGZmZj2Ny9FTZmbWAi4aZmaW5qJhZmZpLhpmZpbmomFmZmkuGmZmluaiYdYHSW+p\n", "L5++W9JLkg7Xy0cl3VU6n1nTfJ6G2YAkrQWORsQdpbOYjYpHGmbDEfz/Bk4P1cvrJN0r6XFJL0pa\n", "I+m79U16tkqaW7e7TNKO+qq62yQtLPkfMctw0TBrxtuBa6juFfFjYHtEXAIcA66XNA+4k+qmN++j\n", "uu7P7aXCmmWNxbWnzMZMAFsj4r+SngFeFxGP1K/to7qA3DuB5cBj9fWK5gBHCmQ164uLhlkzjgNE\n", "xJSkE9Oen6LqdwKejYhVJcKZDcq7p8xmX+YGVL8H3ippJYCkeZKWNRvLbHguGmbDiWl/d1qG196F\n", "LqK61/cNwHpJe4DdwJVNBjWbDT7k1szM0jzSMDOzNBcNMzNLc9EwM7M0Fw0zM0tz0TAzszQXDTMz\n", "S3PRMDOzNBcNMzNL+x/0MIZCaWeqyQAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "\n", "N = 1000\n", "dt = 1.0 / 800.0\n", "x = np.linspace(0.0, N*dt, N)\n", "y = np.sin(50.0 * 2.0*np.pi*x) + 0.5*np.sin(80.0 * 2.0*np.pi*x) + 0.2*np.sin(300.0 * 2.0*np.pi*x)\n", "plt.plot(x, y)\n", "plt.xlabel('Time')\n", "plt.ylabel('Signal')\n", "plt.title('Initial signal')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAYcAAAEZCAYAAAB8culNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm8XWV97/HPNyFhnqGgIRiRQbCKiASK01G5EBQBrZbB\n", "ieF6qb2IrRPitZLe3tahWq3DRRSqFa2xWktDyyCtHgUKkjCrCRIhQBJGQcZAEvLrH8+zk5V99jln\n", "55y19l578X2/Xvt19hr2Wr+9zjnPbz3Ps9azFBGYmZkVTel3AGZmVj9ODmZmNoKTg5mZjeDkYGZm\n", "Izg5mJnZCE4OZmY2gpODdU3SOZI+3u846kjSY5Jm9TuOMkh6s6S783fav9/xWH/I9zkYgKSlwO8B\n", "a4BngF8B3wK+Fn36I5E0BFwQETMn8fkfA08UZv84Io6ZfHTVkXQScGpEvKpP+/8N8KcRcVE/9m/1\n", "sEm/A7DaCOCoiPixpK2BIeDvgIOBU6rYoaSpEfFMFdsuWD7R5NINSZtExJpef17SlIhYO9H9jrFd\n", "AbuTTg4m8vlK4rLec7OSjRARj+WzxuOAd0vaD0DSNyX9ZX6/k6R/k/SwpN9K+lkuWJA0U9IPJd0v\n", "6UFJX8rzT5J0laS/lfQgcLak6ZI+K+lOSffmpqvNJG0JXAI8NzdvPCppVyUflbQkb/t7krbf2O8o\n", "aV9Jwzn+X0h6U2HZsKRTC9MnSbqiML1W0p9Iug24tTBvj/x+007fKS8bkrRM0kck3QOc3x4XcA7w\n", "B/l7P1Q49udIuljS48CQpDdKukHSI5LuknR2YTuzckzvynE8IOljheWzJS3Mn703xzsdeAyYCtyU\n", "v994x6o9rtdKWirpQ5Juzt/hfEm7SLok7+9ySdtt7O/MesvJwUYVEQuAZUCreSPyC+CDwN3ATqTm\n", "qLMiIiRNBf4NuAN4HjAD+G5hs7OB3+TP/DXwaWBPYP/8cwbwiYh4ApgDrIiIrSNim4i4FzgDOBp4\n", "NfAc4GHgKxvzvSRNAy4CLgV2Bt4HfEfSXh2+52iOAQ4C9uuw7FOdvlNh+S7A9qQz9NOKH4yIRcAf\n", "A1fn771DYfEJwF9GxFbAVcDjwDsiYlvgjcB7JbU3mb0C2Bt4PfAJSfvk+X8HfD5/dg/g+xGxKm8b\n", "4CURsdcYx2rvUeK6knTs3pL3uQ9wFCnRf5T0e59C+j1ajTk52HhWADt0mL+KVDjPiohnIuKqPH92\n", "nv/hiFgZEU9HxH8VtxcRX8lND08D7wE+EBG/i4jHgU8Cx+d11WG/pwEfj4gVEbEa+AvgrZJG+1t+\n", "bj7jbb3eChwCbBkRn4qINRHxE1JCO7HLYwLwyRzz08WZufY01ncCWAucHRGrI+KpDtvu9L0DuDAi\n", "rgbIx/WnEfHLPH0LMA94Tdvn/iKvezNwEylhQfr97SVpp4h4MiJ+Psr3HO1YnVBYZ4O48rwvRcQD\n", "EbECuIKU7G7Ky/8FOGCU/VlNODnYeHYDHipMtwquvwGWAD+S9BtJZ+b5M4E7x2h3vrvwfmdgC+C6\n", "VuFNOsPcaYx4ZgH/Ulj/V6RO9F1GWX9FRGxfeP0AeG5bHAB35vndav98Szff6YGIWLUR++q4T0kH\n", "S/pJbr77HSlx7tj2mXsL758EWjWDU0k1ikWSrpX0xlH2Od6xig7LAe4rvF/ZNv1UIQ6rKXdI26gk\n", "HUQqBK5sX5bPiD8EfEjSi4AfS1oA3AXsrtE7m4vNNQ+SCo79IuKecdZtuQs4uXWmOkErgJmSVLgS\n", "63nA4vz+CWDLwvq7dhkbjP+dxvpst8tb/hH4InBERKyS9HnGTqzrdxCxhFxTkvSHwA8k7RARK9tW\n", "He9YdatTbchqzDUHK2p1KG8j6ShSX8EFraYLCv/gko6StGduRnmUdPnrM8C1wD3ApyRtodS5fGin\n", "neXaxdeBL0jaOW93hqTD8yr3ATtK2qbwsa8Cfy1p97z+zpKO3sjveQ3pLPojkqYpXfJ6FKlZBuBG\n", "4C2SNpe0J+ksuytdfKdu3Avsltv7WzoVrlsBD+fEMJtU2HeVWCS9oxUf8Ej+XKfa3njHyoV+Qzk5\n", "WNFFkh4lnZ2fBXwOOLmwvNhRuydwOenqlv8CvpLbwNcCb8rL7yI1OfxRh8+3nElqnrpG0iN5m3sD\n", "RMRiUoK6XdJDknYldaTOJzVnPQpcTernGM2IwjL3VbwJOBJ4APgy8M6I+HVe5fOkNvn7gG8A327b\n", "TqcCuDhv1O80xueLfgz8ErhX0v2Fz7R/7k+A/5uPw58D3xsjpnZHAL+Q9Bjp+x5f6C9Y97kujlU3\n", "nfftsXT7GeujSm+CkzQH+ALp0rjzIuLTbct3Iv3j7Upq4vpsRHyzsoDMzKwrlSWHfEnjrcBhwHJg\n", "AXBCvlSvtc5cYNOIOCsniluBXSZzU5GZmU1elc1Ks4ElEbE0V03nka4NL7oHaLUnbwP81onBzKz/\n", "qrxaaQYbXuK2jDQUQ9HXSVe5rAC2Zn3btJmZ9VGVNYdu2qs+BtwYEc8FXgp8RWlcHzMz66Mqaw7L\n", "STdEtcwk1R6KDgX+CiAifiPpDtLt9guLK0nylQ1mZhMQERO63LjK5LCQdHv+LNKNNMex4S33kG6k\n", "OQy4StIupMRwe6eNTfQL9pKkuRExt99xjMdxlmcQYgTHWbYBinPCJ9aVJYeIWCPpdOAy0qWs50fE\n", "Ikmn5eXnkgZe+4akm0hNXB+JiIdG3aiZmfVEpcNnRMQlpHFlivPOLbx/kHSDjZmZ1YjvkC7XcL8D\n", "6NJwvwPo0nC/A+jCcL8D6NJwvwPo0nC/A+jScL8DqNpAPCY0j/lV+z4HM7M6mUzZ6ZqDmZmN4ORg\n", "ZmYjODmYmdkITg5mZjaCk4OZmY3g5GBmZiM4OZiZ2QhODmZmNoKTg5mZjeDkYGZmIzg5mJnZCE4O\n", "ZmY2gpODmZmN4ORgZmYjODmYmdkITg5mZjaCk4OZmY1QaXKQNEfSYkm3STqzw/IPSbohv26RtEbS\n", "dlXGVBUJSUzrdxxmZmWo7DGhkqYCtwKHAcuBBcAJEbFolPWPAv40Ig7rsKz2jwmVeC/w/yOodZxm\n", "9uxR18eEzgaWRMTSiFgNzAOOGWP9E4HvVhhP1X6/3wGYmZWlyuQwA7i7ML0szxtB0hbAEcA/VxhP\n", "1dx/Y2aNUWWBtjHtVW8CroyI31UVTA9M7XcAZmZl2aTCbS8HZhamZ5JqD50czzhNSpLmFiaHI2J4\n", "MsFVwMnBzPpK0hAwVMq2KuyQ3oTUIf16YAVwLR06pCVtC9wO7BYRK0fZ1iB0SH8TeLc7pM2sLiZT\n", "dlZWc4iINZJOBy4jnVWfHxGLJJ2Wl5+bVz0WuGy0xDBA3OdgZo1RWc2hTANSc/gOcKJrDmZWF3W9\n", "lPXZxn0OZtYYTg7lcXIws8ZwciiPj6WZNYYLtPK45mBmjeHkUB4nBzNrDCeH8jg5mFljODmUx8fS\n", "zBrDBVp5XHMws8ZwciiPk4OZNYaTQ3mcHMysMZwcyuNjaWaN4QKtPK45mFljODmUx8nBzBrDyaE8\n", "Tg5m1hhODuXxsTSzxnCBVh7XHMysMZwcyuPkYGaN4eRQHicHM2sMJ4fy+FiaWWNUWqBJmiNpsaTb\n", "JJ05yjpDkm6Q9AtJw1XGUzHXHMysMRQR1WxYmgrcChwGLAcWACdExKLCOtsBVwFHRMQySTtFxIMd\n", "tjXhh2T3isQdwKwIah2nmT17TKbsrLLmMBtYEhFLI2I1MA84pm2dE4F/johlAJ0SwwBxzcHMGqPK\n", "5DADuLswvSzPK9oL2EHSTyQtlPTOCuOpmpODmTXGJhVuu5v2qmnAy4DXA1sAV0u6JiJua19R0tzC\n", "5HBEDJcRZIncIW1mfSVpCBgqY1tVJoflwMzC9ExS7aHobuDBiFgJrJT0M2B/YERyiIi5FcVZFtcc\n", "zKyv8knzcGta0tkT3VaVZ7sLgb0kzZI0HTgOmN+2zr8Cr5Q0VdIWwMHAryqMqUpODmbWGJXVHCJi\n", "jaTTgctIBef5EbFI0ml5+bkRsVjSpcDNwFrg6xHh5GBm1meVXcpapgG5lPVRYGtfympmdVHXS1mf\n", "bVxzMLPGcHIoj5ODmTWGk0N5nBzMrDGcHMrjY2lmjeECrTw+lmbWGC7QylX/S7/MzLrg5FCuZ/od\n", "gJlZGZwcyrW23wGYmZXByaFcblYys0ZwcjAzsxGcHMrlmoOZNYKTQ7mcHMysEZwczMxsBCcHMzMb\n", "wcmhBJKH6TazZnFyKEfrODpJmFkjODmUY0rbTzOzgebCrBxq+2lmNtCcHMoxhXQZq5ODmTVCpclB\n", "0hxJiyXdJunMDsuHJD0i6Yb8+niV8VRoCmnQPScHM2uETarasKSpwJeBw4DlwAJJ8yNiUduqP42I\n", "o6uKo0dayWF6vwMxMytDlTWH2cCSiFgaEauBecAxHdZrwtm2cM3BzBqkyuQwA7i7ML0szysK4FBJ\n", "N0m6WNJ+FcZTpVbNwcysESprVqK7cYauB2ZGxJOSjgQuBPbutKKkuYXJ4YgYnnSE5ZlCfpaDhCI8\n", "xpKZ9Z6kIWColG1FVFOOSToEmBsRc/L0WcDaiPj0GJ+5AzgwIh5qmx8RUdsmG4kdgCXAdsC0CNci\n", "zKz/JlN2VtmstBDYS9IsSdOB44D5xRUk7SJJ+f1sUrJ6aOSmaq9Vc6j0claJYyVOqWr7ZmYtlTUr\n", "RcQaSacDlwFTgfMjYpGk0/Lyc4G3Au+VtAZ4Eji+qngq1pPkAOwD7Fzh9s3MgAqblco0AM1KuwI3\n", "ATsAW0awqqL9fBTYOYIPVrF9M2uWSpuVJG0p6c8lfT1P7yXpqInsrMFEqjmspdqawxR8V7uZ9UA3\n", "Bc03gFXAoXl6BfBXlUU0mIrNSlUW3sL3UphZD3RTkL0gX2G0CiAinqg2pIHUGlup6j4H4ZqDmfVA\n", "NwXN05I2b01IegHwdHUhDaRWs1LVyWFKxds3MwO6u1ppLnApsJukfwReAZxUYUyDqNWsVHWfg5uV\n", "zKwnxk0OEfEjSdcDh+RZZ0TEg9WGNXB61efgDmkz64lRk4OkA9lwCIwVpLPW3SXtHhHXVx3cAOll\n", "n4NrDmZWubFqDp8jFXabAwcCN+f5LyHd/fwH1YY2UHrV5+AOaTPriVELmogYiojXkmoML4uIAyPi\n", "QOCAPM/W61WfgzukzawnujkLfWFE3NKaiIhfAPtWF9JA6uV9Dq45mFnlurla6WZJ5wHfJhVOJ5KG\n", "irD13OdgZo3STXI4GXgv8P48/TPgnMoiGky+z8HMGqWbS1lXAn+bX9ZZL+9zcLOSmVVu3OSQH8DT\n", "LiJijwriGVTFZqWq73NwzcHMKtdNs9JBhfebkZ7BsGM14QwsX8pqZo0ybkETEQ8WXssi4gvAG3sQ\n", "2yDp1cN+3CFtZj3RTbNS8U7pKcDLSU92s/V8n4OZNUo3zUqtO6UB1gBLgT+qKqAB1as+BzcrmVlP\n", "dJMcTomI24szJD2/ongGVS/7HFxzMLPKdXMW+oMu540gaY6kxZJuk3TmGOsdJGmNpLd0s90a6lWf\n", "g0dlNbOeGGtU1n2B/YDtcqEtUuG3DemqpTFJmgp8GTgMWA4skDQ/IhZ1WO/TpGdGDOpZsZ/nYGaN\n", "Mlaz0j7Am4Bt88+Wx4D3dLHt2cCSiFgKIGkecAywqG2995FqIgcxuHp5n4NrDmZWuVGTQ0RcCFwo\n", "6Q8i4uoJbHsGcHdhehlwcHEFSTNICeN1pORQfH7EIHGfg5k1yljNSmdGxKeBEyWd2LY4IuKMcbbd\n", "TUH/BeCjERGSxiz4JM0tTA5HxHAX2+8V3+dgZn0naQgYKmNbYzUr/Sr/vK7Dsm4K/uXAzML0TFLt\n", "oehAYF7KC+wEHClpdUTMH7HDiLld7LNfWs1KvbjPwc1KZtZRPmkebk1LOnui2xqrWemi/PObE9z2\n", "QmAvSbNIDwc6DjihbR/rxmeS9A3gok6JYQAUm5Wqvs/BNQczq9xYzUoXjfG5iIijx9pwRKyRdDpw\n", "GemO6vMjYpGk0/LycycScE31slnJNQczq9x4z5AeTVcdxxFxCXBJ27yOSSEiTu5mmzXVy/scXHMw\n", "s8qN1aw03HovaVPghaQC8NaIWFV9aAPFT4Izs0bpZuC9NwJfBVpDaOwh6bSIuLjSyAZLq8/BHdJm\n", "1gjdjK30t8BrI2IJgKQXABfnlyXFZiV3SJvZwOumIHu0lRiy24FHK4pnULlD2swapZuaw3WSLgb+\n", "KU+/DVjYGiQvIn5YVXADpFd9Du6QNrOe6CY5bAbcD7wmTz+Q57XGW3Jy6F2fg5uVzKwnxk0OEXFS\n", "D+IYdL3sc3CzkplVrpurlfYgjZw6q7D+uDfBPcu4WcnMGqWbZqULgfOAi0hnxzC4o6dWpZejsrrm\n", "YGaV6yY5PBURX6w8ksHWq4f9uOZgZj3RTXL4Uh4u+zLg6dbMiLi+qqAGkPsczKxRukkOLwLeCbyW\n", "9c1K5GlLPHyGmTVKN8nhbcDzPZ7SmHrV5+BmJTPriW6aKG4Btq86kAHXqz4HNyuZWU90U3PYHlgs\n", "aQHr+xx8KeuGPLaSmTVKN8mh9Zi5VpPJq4HjK4toMPXyPgfXHMyscuMWNPm5Do8CRwH/ALwOOKfa\n", "sAZOL+9zcM3BzCo31mNC9yE98/k40nhK3wcUEUO9CW2g+D4HM2uUsZqVFgH/BhwREXcBSPpAT6Ia\n", "PMVmJd/nYGYDb6yC5i3ASuBnkr4q6fVs5FmrpDmSFku6TdKZHZYfI+kmSTdIuk7S6zYu/Npws5KZ\n", "NcqoySEiLoyI44DfB64A/gzYWdI5kg4fb8OSpgJfBuYA+wEnSNq3bbX/iIj9I+IA4CTgaxP7Gn3X\n", "q4f9uEPazHqimw7pxyPiOxFxFDATuAH4aBfbng0siYilEbEamAcc07btJwqTWwEPdh15vfTyPgfX\n", "HMyscht1FhoRD0XE1yKim+afGcDdhelled4GJB0raRFwCXDGxsRTI73sc3ByMLPKdXOfw0R1Nax3\n", "RFwIXCjpVcAFwD6d1suD/7UM50ts66KXw2e4WcnMOpI0BAyVsa0qk8NyUjNUy0xS7aGjiLhC0iaS\n", "doyI33ZYPrf8EEvTqz4H1xzMbFT5pHm4NS3p7FFXHkeVZ6ELgb0kzZI0nXS/xPziCpJeIEn5/csA\n", "OiWGAdBqVurFfQ6uOZhZ5SqrOUTEGkmnk54DMRU4PyIWSTotLz8X+EPgXZJWA48zuMNyeGwlM2uU\n", "KpuViIhLSB3NxXnnFt5/BvhMlTH0iB8TamaN4oKmHL28z8E1BzOrnJNDOfwkODNrFCeHcrSaldbi\n", "sZXMrAFc0JTDzUpm1ihODuXo5X0O/p2ZWeVc0JTDfQ5m1ihODuUo9jm4WcnMBp6TQzl6eROcf2dm\n", "VjkXNOXoVbOSaw5m1hNODuVwh7SZNYoLmnL0qs/BHdJm1hNODuXoVZ+DR2U1s55wQVMOX8pqZo3i\n", "5FCOXo7K6uRgZpVzcihHq1nJD/sxs0ZwQVMOP+zHzBrFyaEcvbzPwb8zM6ucC5pyuM/BzBrFyaEc\n", "xT4HNyuZ2cCrPDlImiNpsaTbJJ3ZYfnbJd0k6WZJV0l6SdUxVaDVrLSGap/L7WYlM+uJSgsaSVOB\n", "LwNzgP2AEyTt27ba7cCrI+IlwF8CX6sypoq0mpWeBjateD+uOZhZ5ao+C50NLImIpRGxGpgHHFNc\n", "ISKujohH8uTPgd0qjqkKrWalXiQH1xzMrHJVFzQzgLsL08vyvNGcClxcaUTV2ITeJAePympmPVFl\n", "+zikdviuSHotcArwilGWzy1MDkfE8KQiK9emwErcrGRmfSRpCBgqY1tVJ4flwMzC9ExS7WEDuRP6\n", "68CciHi404YiYm4VAZZkM1JieBrYpsL9uOZgZqPKJ83DrWlJZ090W1U3Ky0E9pI0S9J04DhgfnEF\n", "SbsDPwTeERFLKo6nKpsBT9GbmgOSE4SZVavSmkNErJF0OnAZMBU4PyIWSTotLz8X+ASwPXCOJIDV\n", "ETG7yrgq0EoOq+hBciAl9Wcq3I+ZPcspoutugb6RFBFR27NliZ8D7yddrvuqCE6uaD8PAjsC0yJY\n", "U8U+zKw5JlN2+rLIcmxKD5uV8O/NzCrmQqYcPe1zwJ3SZlYxJ4dy9Co5tH5fTg5mViknh3L0uubg\n", "35uZVcqFTDlcczCzRnFyKIdrDmbWKC5kJinfkDad9XdIV50cqn5OtVnfSMzqdwyWODlM3qbA6giC\n", "3jQrPYOTgzXXDRLb9jsIc3IoQ6tJCXpXc/DvzZpqS2CrfgdhLmTK0Ovk4JqDNVJuop0GbNHvWMzJ\n", "oQzF5FD12EqtZiX/3qyJWmO9bdnXKAxwIVOG1tAZ4JqD2WRMyz9dc6gBJ4fJ62WzkjukrcmcHGrE\n", "yWHy2puVplX4vAV3SFuTTc8/nRxqwIXM5K1LDhGsBVaz/o+8NIWE45qDNVWr5uA+hxpwcpi8Ys0B\n", "UtPSZhXsp5UQAv/erJlcc6gRFzKTtzXwRGH60TyvbCIlBt8hbU3lPocacXKYvO2B3xamH87zytbq\n", "b3DNwZrKzUo1UnkhI2mOpMWSbpN0ZoflL5R0taSnJH2w6ngqsAPwUGH6d8B2FexnCq45WLO5WalG\n", "Nhl/lYmTNBX4MnAYsBxYIGl+RCwqrPZb4H3AsVXGUqH25FBlzSHyy8nBmsjNSjVSdc1hNrAkIpZG\n", "xGpgHnBMcYWIeCAiFpKu8hlEvaw5uFnJmqxVc3CzUg1UXcjMAO4uTC/L85qk1zUHNytZU7nmUCNV\n", "J4eoePt10KuagzukremcHGqk0j4HUj/DzML0TFLtYaNJmluYHI6I4YmHVapONYfnVbAfd0hb07lZ\n", "aZIkDQFDZWyr6uSwENhL0ixgBXAccMIo645Z4EXE3DIDK1GnmsP+FezHHdLWdNNI9wm55jBB+aR5\n", "uDUt6eyJbqvS5BARaySdDlwGTAXOj4hFkk7Ly8+VtCuwANgGWCvp/cB+EfF4lbGVIQ9psSO963Nw\n", "s5I12XTSyZWTQw1UXXMgIi4BLmmbd27h/b1s2PQ0SHYCnorY4A7pB4Dfq2BfblayppsGPIKblWrB\n", "Z6CTMwtY2jbvLqpJdsVmJf/erIlcc6gRFzKTMwu4o23ePcDvSaWPzNpqVnLNwZpqGk4OteHkMDmz\n", "aKs5RLCGlCDKvp+j1azkmoM1VSs5uFmpBlzITM4sRjYrQWpa2r3kfRU7pF1zsCaaTupz2KLCB2ZZ\n", "l5wcJudFwK0d5t9F+fc6uEPamm4a6dkoq6n2cbvWBSeHCZKYAhwAXNdh8WJgv7J3iZuVrNmmkx61\n", "+wTud+g7FzIT9wLg4YgNnuXQciPl3wjnDmlrummkWsOTuN+h75wcJu4Q0h3gndwEvLTk/blD2ppu\n", "Gqnm8CSuOfSdC5mJOwL40SjL7gamSexW4v5azUqrWT9AmVmTTGd9zcHJoc+cHCZAYhNScris0/II\n", "AvgJ8Poyd0tqUnqQdGe2WdO0mpWewM1KfefkMDFHAEsiuHOMdS7P65Wl1ax0P9UMz2HWb60Oadcc\n", "asDJYWLeC5w/zjoXAUdKpf2RbwGsJI3dtHNJ2zSrk2KHtJNDnzk5bCSJ2aTO5m+PtV4E9wDXAH9Y\n", "0q5nkvoyXHOwptqJNKqxm5VqwMlhI0hsCnwV+FgET3XxkS8CZ+Z7IiZrd9LNdVWN+mrWb3sAvwEe\n", "A7btcyzPek4OXcoF/DnAncAFXX7sUtKzHs4oIYRizcHNStYoebiMPYDbSaMO7NvfiMzJoQu5xvD3\n", "wJ7Au/LVSOPK650CfFziRZMMwzUHa7KdSc9GeQS4Bfj9PsfzrOfkMA6Jg4Frga2BIyN4bGM+H8ES\n", "4M+ASyX2nkQou5NqDncDz8uX05o1RavWAPAL4MUefK+/nBw6kJgmcazExcAPgM8Bb2174lvXIrgA\n", "OBu4QuLNE4hnC+BlwE0RPEgaCfbgicRiVlOvBq7P7+8FngZe2L9wzMmBdFObxEskTpX4Lul5DB8C\n", "vg/sHcG3um1KGk0Efw+8GfgbiYslXrERZ0ZHAQsiuD9PXwocO5l4zGrmbaQTsVZz7LeBU/sa0bOc\n", "IiZV5o29cWkO8AVgKnBeRHy6wzpfBI4kXdt8UkTc0GGdiIgJVTFzAbwlqU2z9ZpBGjiv9dqL1Fxz\n", "HTAMXBrBsonsr4t4pgPvIXVSrwW+R7phbkEEqzqsPwv4KfDHEelZ3BLPI51lHRrRcchws4EhcSTw\n", "JWDfCFbnebNIY5e9JoJf9jG8gTapsrOq5CBpKumqg8OA5cAC4ISIWFRY5w3A6RHxBkkHA38XEYd0\n", "2FZAfIqUZDbJP4vvNyPdNLNlh9eOrB924oH8WkG6ZK71+nUEj5bwnYciYri7dRHwCuBo4H+QqtC3\n", "kdpdfws8Q0pihwKfiOBLbZ8/CfgUqbnqWxGsrCLOfhqEOAchRqhvnBKHABcCb4/gP4txSrwd+Czw\n", "AWDeZGvvZarr8Ww3meRQZafmbGBJRCwFkDQPOAZYVFjnaOAfACLi55K2k7RLRNzXYXuPAWtIheYz\n", "be+fJt040+n12wieLP3bdTZEqnmMK/+hX5lfSGxOegbETFLtZgpwMenqqBHDgkfwTYlbgL8CPiNx\n", "LXAzKSGvyK97SY9dXNn2j9V1nH02RP3jHKL+MUKN4pTYGXgl8Pb88z0R/GdePESOM4LvSNxJan34\n", "fxLzSReH3ATcFcHjPQ69aIiaHM+qVJkcZpCaalqWMbITtdM6uwEjkkMEf112gHWSz/yvo/PDg0b7\n", "zHXAHIkdSUOIv5h0jJ9TeG0DTJd4FFqvM7aTeCXpqVtP55+d3j9NGs5gzSRerQS+tu0V48/bectc\n", "kHSx7rp5UaczzCbJtd1phdf0tvebkf7etm77uRPppGcm8HzSDW7XAv8MnDJWrT2CKyUOIo1KcCSp\n", "b+IvgN0kVpHKjIdJJ4+tv/HHSM3Uq0h/w6tGea1mw7/N9r/TMZa9YGeJF7Lh3x41/DlhVSaHboNr\n", "r/L4H3sj5ZrFv+fXCBLTSP+o2wLbwBXvB75LehTjZoWf7e+3J/2NTOY1jVQLUv5ZfHWaV5j/P7cG\n", "Tupu3XUvpA0SR/GfJTpMj7Wsi+mztpI4rZxtTTgutb2mjJz34Z0k3jnGOh0+wxTW/w6n5/drSIVq\n", "q3BdXZjtfmKHAAAHMUlEQVR+ivWFc/HnQ8B/kk4E7wRuj2AtXcrJ/ob8AtYlqu1JJ5P573pdQtoW\n", "2Jz0t7x1jn20V+vvZiob/h1NHXvZm3chjbrcWg7ry7K6/ZyQKvscDgHmRsScPH0WsLbYKS3pq8Bw\n", "RMzL04uB17Q3K6U+BzMz21h17HNYCOwlaRap/fs44IS2deYDpwPzcjL5Xaf+hol+OTMzm5jKkkNE\n", "rJF0OumBOFOB8yNikaTT8vJzI+JiSW+QtITUeXxyVfGYmVn3Kr3PwczMBlOt75CWNEfSYkm3STqz\n", "3/EUSVoq6WZJN0i6Ns/bQdLlkn4t6UeStutDXH8v6T5JtxTmjRqXpLPy8V0s6fA+xzlX0rJ8TG+Q\n", "dGQN4pwp6SeSfinpF5LOyPNrc0zHiLFWx1PSZpJ+LulGSb+S9Mk8vzbHcpw4a3U8C/uemuO5KE+X\n", "czwjopYvUlPUEmAW6WqJG4F9+x1XIb47gB3a5n0G+Eh+fybwqT7E9SrgAOCW8eIi3VdxYz6+s/Lx\n", "ntLHOM8GPtBh3X7GuSvw0vx+K9YPJ12bYzpGjHU8nlvkn5uQHob1yjody3HirN3xzPv/APAdYH6e\n", "LuV41rnmsO4muohYDbRuoquT9o7ydTf15Z89H/8oIq4gXfddNFpcxwDfjYjVkW5WXEI67v2KEzpf\n", "ftfPOO+NiBvz+8dJN3HOoEbHdIwYoX7Hs3VD6nTSCeDD1OhYjhMn1Ox4StoNeANwXiG2Uo5nnZND\n", "pxvkZoyybj8E8B+SFkp6T55XvLv7PmCX/oQ2wmhxPRc2GEOqDsf4fZJuknR+oTpcizjzlXcHAD+n\n", "pse0EOM1eVatjqekKZJuJB2zn0TEL6nhsRwlTqjZ8QQ+D3wYNrhvpJTjWefkUPee8ldExAGkuzb/\n", "t6RXFRdGqsfV7jt0EVc/Yz6HdAftS0kj435ujHV7GqekrUh39L4/IjZ4pkddjmmO8QekGB+nhscz\n", "ItZGxEtJN6+9WtJr25bX4lh2iHOImh1PSUcB90carLTj5f6TOZ51Tg7LSbfbt8yEakZKnYiIuCf/\n", "fAD4F1L17D5JuwJIeg6sG2K730aLq/0Y75bn9UVE3B8ZqZrcqvL2NU5J00iJ4YKIuDDPrtUxLcT4\n", "7VaMdT2eObZHSHf0H0jNjuUocb68hsfzUOBoSXeQRjx4naQLKOl41jk5rLuJTtJ00k108/scEwCS\n", "tpC0dX6/JXA46dGG84F359XeTRptsg5Gi2s+cLyk6ZKeTxq6/No+xAes+0NueTPpmEIf45Qk4Hzg\n", "VxHxhcKi2hzT0WKs2/GUtFOrKUbS5qTRiG+gRsdyrDhbBW7W9+MZER+LiJkR8XzgeODHEfFOyjqe\n", "vepRn8iL1GRzK6nj5Kx+x1OI6/mkXv8bSY80PCvP3wH4D+DXwI+A7foQ23dJd6SvIvXZnDxWXMDH\n", "8vFdDBzRxzhPAb5FGln2pvwHvUsN4nwlqT33RtaP7zOnTsd0lBiPrNvxJA0MeX2O82bgw3l+bY7l\n", "OHHW6ni2xfwa1l+tVMrx9E1wZmY2Qp2blczMrE+cHMzMbAQnBzMzG8HJwczMRnByMDOzEZwczMxs\n", "hCqfBGfWV5KeIV2X3nJMRNzVr3jMBonvc7DGkvRYRGw9yjLBurFnzKyNm5XsWSMPxXKrpH8gDX0w\n", "U9KHJV2bR9qcW1j3/+R1r5D0j5I+mOcPSzowv98pj2vTeuDK3xS29b/y/KH8me9LWiTp24V9HCTp\n", "qvxQmWskbSXpp5L2L6xzpaQX9+QAmRW4WcmabHNJN+T3t5MeirIn8M6IuDY/CWvPiJgtaQrwr3l0\n", "3SdJY3ntT3owyvWksb4gjWLZqbZxKvC7vK1NgSsl/SgveynpQSv3AFdJOjRvbx7wRxFxXR5RdSVp\n", "jKSTgD+TtDewaUTcglmPOTlYk62MNKw6sO5ZB3dGRGuwscOBwwsJZEvSYGRbAz+MiKeApyR1M+Dj\n", "4cCLJb01T29DSkSrgWsjYkWO4UbS2FyPAfdExHWw7iE9SPoB8OeSPkwab+obE/niZpPl5GDPNk+0\n", "TX8yIr5WnCHp/Ww4Pn7x/RrWN8du1rat0yPi8rZtDQFPF2Y9Q/q/69jXERFPSrqc9PSutwEvG/Wb\n", "mFXIfQ72bHYZcEoedh1JMyTtDPwMOFbpQfNbA0cVPrMUeHl+/9a2bf2JpE3ytvaWtMUo+w3SaMPP\n", "kfTyvP7Wkqbm5ecBXyTVOB6Z7Jc0mwjXHKzJOp2dr5sXEZdL2he4Ol+89Bjwjoi4QdL3SEMz3w8s\n", "YH3t4bPAP+UO538vbO880kPbr89XQt1PGvO/Yx9FRKyWdBzwpfzMgCdJzw14IiKul/QIblKyPvKl\n", "rGbjkHQ28HhEjPVYyDL391zSc4v36cX+zDpxs5JZd3r1HOh3AdeQHspi1jeuOZiZ2QiuOZiZ2QhO\n", "DmZmNoKTg5mZjeDkYGZmIzg5mJnZCE4OZmY2wn8DJEK8kdgG17gAAAAASUVORK5CYII=\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "yf = np.fft.fft(y)\n", "xf = np.linspace(0.0, 1.0/(2.0*dt), N/2)\n", "plt.plot(xf, 2.0/N * np.abs(yf[0:N/2])) #Note: N/2 to N will give negative frequencies\n", "plt.xlabel('Frequency')\n", "plt.ylabel('Amplitude')\n", "plt.title('Discrete Fourier transform')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Fast Fourier transform (FFT)\n", "Here we consider a matrix interpretation of the standard Cooley-Tukey algorithm (1965), which has underlying **divide and conquerer** idea. Note that in packages more advanced vesions are used.\n", "\n", "Let $n$ be a power of 2. First of all we permute the rows of the Fourier matrix such that the first $n/2$ rows of the new matrix had row numbers $1,3,5,\\dots,n-1$ and the last $n/2$ rows had row numbers $2,4,6\\dots,n$. \n", "This permutation can be expressed in terms of multiplication by permutation matrix $P_n$:\n", "$$\n", "P_n =\n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0 & \\dots & 0 & 0 \\\\\n", "0 & 0 & 1 & 0 &\\dots & 0 & 0 \\\\\n", "\\vdots & & & & & & \\vdots \\\\\n", "0 & 0 & 0 & 0 &\\dots & 1 & 0 \\\\\n", "\\hline\n", "0 & 1 & 0 & 0 & \\dots & 0 & 0 \\\\\n", "0 & 0 & 0 & 1 &\\dots & 0 & 0 \\\\\n", "\\vdots & & & & & & \\vdots \\\\\n", "0 & 0 & 0 & 0 &\\dots & 0 & 1 \n", "\\end{pmatrix},\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Hence,\n", "$$\n", "P_n F_n =\n", "\\begin{pmatrix}\n", "1 & 1 & 1 & \\dots & 1 \\\\\n", "1 & w^{2\\cdot 1}_n & w^{2\\cdot 2}_n & \\dots & w^{2\\cdot (n-1)}_n\\\\\n", "1 & w^{4\\cdot 1}_n & w^{4\\cdot 2}_n & \\dots & w^{4\\cdot (n-1)}_n\\\\\n", "\\vdots & & & & \\vdots\\\\\n", "1 & w^{(n-2)\\cdot 1}_n & w^{(n-2)\\cdot 2}_n & \\dots & w^{(n-2)\\cdot (n-1)}_n\\\\\n", "\\hline\n", "1 & w^{1\\cdot 1}_n & w^{1\\cdot 2}_n & \\dots & w^{1\\cdot (n-1)}_n\\\\\n", "1 & w^{3\\cdot 1}_n & w^{3\\cdot 2}_n & \\dots & w^{3\\cdot (n-1)}_n\\\\ \n", "\\vdots & & & & \\vdots\\\\\n", "1 & w^{(n-1)\\cdot 1}_n & w^{(n-1)\\cdot 2}_n & \\dots & w^{(n-1)\\cdot (n-1)}_n\\\\\n", "\\end{pmatrix},\n", "$$\n", "Now let us imagine that we separated its columns and rows by two parts each of size $n/2$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "As a result we get $2\\times 2$ block matrix that has the following form\n", "$$\n", "P_n F_n =\n", "\\begin{pmatrix}\n", "\\left\\{w^{2kl}_n\\right\\} & \\left\\{w_n^{2k\\left(\\frac{n}{2} + l\\right)}\\right\\} \\\\\n", "\\left\\{w_n^{(2k+1)l}\\right\\} & \\left\\{w_n^{(2k+1)\\left(\\frac{n}{2} + l\\right)}\\right\\}\n", "\\end{pmatrix},\n", "\\quad k,l = 0,\\dots, \\frac{n}{2}-1.\n", "$$\n", "So far it does not look like something that works faster :) But we will see that in a minute.\n", "Lets have a more precise look at the first block $\\left\\{w^{2kl}_n\\right\\}$:\n", "$$\n", "w^{2kl}_n = e^{-2kl\\frac{2\\pi i}{n}} = e^{-kl\\frac{2\\pi i}{n/2}} = w^{kl}_{n/2}.\n", "$$\n", "So this block is exactly twice smaller Fourier matrix $F_{n/2}$!\n", "\n", "\n", "The block $\\left\\{w_n^{(2k+1)l}\\right\\}$ can be written as\n", "$$\n", "w_n^{(2k+1)l} = w_n^{2kl + l} = w_n^{l} w_n^{2kl} = w_n^{l} w_{n/2}^{kl},\n", "$$\n", "which can be written as $W_{n/2}F_{n/2}$, where $$W_{n/2} = \\text{diag}(1,w_n,w_n^2,\\dots,w_n^{n/2-1}).$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Doing the same tricks for the other blocks we will finally get\n", "$$\n", "P_n F_n =\n", "\\begin{pmatrix}\n", "F_{n/2} & F_{n/2} \\\\\n", "F_{n/2}W_{n/2} & -F_{n/2}W_{n/2}\n", "\\end{pmatrix} =\n", "\\begin{pmatrix}\n", "F_{n/2} & 0 \\\\\n", "0 & F_{n/2}\n", "\\end{pmatrix}\n", "\\begin{pmatrix}\n", "I_{n/2} & I_{n/2} \\\\\n", "W_{n/2} & -W_{n/2}\n", "\\end{pmatrix}.\n", "$$\n", "Thus, we reduced multiplication by $F_n$ to 2 multiplications by $F_{n/2}$ and cheap multiplications by diagonal matrices. If we apply the obtained expressions recursively to $F_{n/2}$, we will get $\\mathcal{O}(n\\log n)$ complexity." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Full matvec time = 0.171025037766\n", "FFT time = 0.000820159912109\n", "Relative error = 1.53542183088e-12\n" ] } ], "source": [ "#FFT vs full matvec\n", "import time\n", "import numpy as np\n", "import scipy as sp\n", "import scipy.linalg\n", "\n", "n = 10000\n", "F = sp.linalg.dft(n)\n", "x = np.random.randn(n)\n", "\n", "t = time.time()\n", "y_full = F.dot(x)\n", "print 'Full matvec time =', time.time() - t\n", "\n", "t = time.time()\n", "y_fft = np.fft.fft(x)\n", "print 'FFT time =', time.time() - t\n", "\n", "print 'Relative error =', (np.linalg.norm(y_full - y_fft)) / np.linalg.norm(y_full)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Circulant matrices\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "FFT helps to multiply fast by certain types of matrices. We start from a circulant matrix:\n", "\n", "$$\n", "C =\n", "\\begin{pmatrix} \n", "c_0 & c_{n-1} & c_{n-2} & \\dots & c_1 \\\\\n", "c_{1} & c_{0} & c_{n-1} & \\dots & c_2 \\\\\n", "c_{2} & c_{1} & c_0 & \\dots & c_3 \\\\\n", "\\dots & \\dots & \\dots & \\dots & \\dots \\\\\n", "c_{n-1} & c_{n-2} & c_{n-3} & \\dots & c_0\n", "\\end{pmatrix}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "**Theorem.** \n", "Let $C$ be a circulant matrix of size $n\\times n$ and let $c$ be it's first column , then\n", "$$\n", "C = \\frac{1}{n} F_n^* \\text{diag}(F_n c) F_n \n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "*Proof.* \n", "Consider a number $$\\lambda (\\omega) = c_0 + \\omega c_1 + \\dots + \\omega^{n-1} c_{n-1},$$ where $\\omega$ is any number such that $\\omega^n=1$. Lets multiply $\\lambda$ by $1,\\omega,\\dots, \\omega^{n-1}$:\n", "$$\n", "\\begin{split}\n", "\\lambda & = c_0 &+& \\omega c_1 &+& \\dots &+& \\omega^{n-1} c_{n-1},\\\\\n", "\\lambda\\omega & = c_{n-1} &+& \\omega c_0 &+& \\dots &+& \\omega^{n-1} c_{n-2},\\\\\n", "\\lambda\\omega^2 & = c_{n-2} &+& \\omega c_{n-1} &+& \\dots &+& \\omega^{n-1} c_{n-3},\\\\\n", "&\\dots\\\\\n", "\\lambda\\omega^{n-1} & = c_{1} &+& \\omega c_{2} &+& \\dots &+& \\omega^{n-1} c_{0}.\n", "\\end{split}\n", "$$\n", "Therefore,\n", "$$\n", "\\lambda(\\omega) \\cdot \\begin{pmatrix} 1&\\omega & \\dots& \\omega^{n-1} \\end{pmatrix} =\n", "\\begin{pmatrix} 1&\\omega&\\dots& \\omega^{n-1} \\end{pmatrix} \\cdot C.\n", "$$\n", "Writing this for $\\omega = 1,w_n, \\dots, w_n^{n-1}$ we get\n", "$$\n", "\\Lambda F_n = F_n C\n", "$$\n", "and finally\n", "$$\n", "C = \\frac{1}{n} F^*_n \\Lambda F_n, \\quad \\text{where}\\quad \\Lambda = \\text{diag}(F_nc) \\qquad\\blacksquare\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Fast matvec with circulant matrix\n", "\n", "Representation $C = \\frac{1}{n} F^* \\text{diag}(F_n c) F_n $ gives us an explicit way to multiply a vector $x$ by $C$ in $\\mathcal{O}(n\\log n)$ operations. Indeed,\n", "$$\n", "Cx = \\frac{1}{n} F_n^* \\text{diag}(F_n c) F_n x = \\text{ifft}\\left( \\text{fft}(c) \\circ \\text{fft}(x)\\right)\n", "$$\n", "where $\\circ$ denotes elementwise product (Hadamard product) of two vectors (since $\\text{diag}(a)b = a\\circ b$) and ifft denotes inverse Fourier transform $F^{-1}_n$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Full matvec time = 0.0920350551605\n", "FFT time = 0.00724005699158\n", "Relative error = 5.74383700118e-15\n" ] } ], "source": [ "import time\n", "import numpy as np\n", "import scipy as sp\n", "import scipy.linalg\n", "\n", "def circulant_matvec(c, x):\n", " return np.fft.ifft(np.fft.fft(c) * np.fft.fft(x))\n", "\n", "n = 10000\n", "c = np.random.random(n)\n", "C = sp.linalg.circulant(c)\n", "x = np.random.randn(n)\n", "\n", "t = time.time()\n", "y_full = C.dot(x)\n", "print 'Full matvec time =', time.time() - t\n", "\n", "t = time.time()\n", "y_fft = circulant_matvec(c, x)\n", "print 'FFT time =', time.time() - t\n", "\n", "print 'Relative error =', (np.linalg.norm(y_full - y_fft)) / np.linalg.norm(y_full)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Toeplitz matrices" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Another example where FFT can help us with the fast matvec operation is a Toeplitz matrix (diagonal constant matrix):\n", "$$\n", "T =\n", "\\begin{pmatrix} \n", "t_0 & t_{-1} & t_{-2} & t_{-3}& \\dots & t_{1-n} \\\\\n", "t_{1} & t_{0} & t_{-1} & t_{-2}& \\dots & t_{2-n} \\\\\n", "t_{2} & t_{1} & t_0 & t_{-1} &\\dots & t_{3-n} \\\\\n", "t_{3} & t_{2} & t_1 & t_0 & \\dots & t_{4-n} \\\\\n", "\\dots & \\dots & \\dots & \\dots & \\dots & \\dots\\\\\n", "t_{n-1} & t_{n-2} & t_{n-3} & t_{n-4} &\\dots &t_0\n", "\\end{pmatrix},\n", "$$\n", "or equivalently $T_{ij} = t_{i-j}$.\n", "\n", "Matvec operation can be written as\n", "$$\n", "y_i = \\sum_{j=1}^n t_{i-j} x_j,\n", "$$\n", "which can be interpreted as a discrete convolution of filter $t_i$ and signal $x_i$. \n", "For simplicity the size of the filter $t$ is such that the sizes of the input and output signals are the same. Generally, filter size can be arbitrary.\n", "\n", "Fast convolution computation has a variety of applications, for instance, in signal processing or partial differential and integral equations. For instance, here is the smoothing of a signal:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAagAAAEaCAYAAABEsMO+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xu4HFWV9/Hvz5AgASFAJNwNl4joKxfnFaMoHMDBJAqM\n", "V+Qioggoos7ovCJeIOgo4mVUhMHIAKMMggqCUQPKqEcZJWDGQEQIEgMMEAgEA4aLQJL1/lHVSdPp\n", "7uqcU91V3fX7PE8/53T37qp1Kp1evXftWlsRgZmZWdk8p+gAzMzMmnGCMjOzUnKCMjOzUnKCMjOz\n", "UnKCMjOzUnKCMjOzUnKCMgMknSrp/LzbdrCt1ZJ2Xs/XHCXpp3nsP2M/Q5Lu6fZ+zFqRr4OyQSPp\n", "WOAjwM7AX4ErgVMj4tEi42pG0mpg14hYXHQsjSQNARdHxA5Fx2LV5B6UDRRJHwE+T5KgNgWmAi8A\n", "rpU0tsVrxvQuQjPrlBOUDQxJmwIzgZMj4mcRsSoi7gbeBkwGjk7bzZR0uaSLJT0KHJs+dnHdto6R\n", "dLekZZI+KekuSQfWvf7i9PfJ6TBdrf1Dkj5et519JF0vabmkJZK+3ipRNvl7jpX0Z0l/lbRY0pF1\n", "j19X1+5gSbdLekTSuZJ+Jem4urb/LemLkv6Sbmda3WvfJenWdB9/lnTCyI6+Wf6coGyQvAp4LvCD\n", "+gcj4nFgDvD3dQ8fCnw/IjYDLgHWjHVLejFwLnAEsA2wGbBt/Sab7Htf4IXAQcBpknZLH18JfAjY\n", "Enhl+vxJWX+IpI2BrwHTImLT9LU3NWk3Efg+cAqwBXB72rY+xn2AhWkMXwAuqHtuKfD6dB/vAr4i\n", "ae+s+Mx6wQnKBslEYFlErG7y3APp8zW/jYjZABHxN0B1z70FmB0Rv42IZ4DTePYHfn3bmjMi4qmI\n", "WADcDOyVbvv3EXFjRKxOe3PfBPbv8O9ZDbxU0kYRsTQibm3SZgZwS0Rcle7j7PRvrXd3RFwQyQnn\n", "bwPbSNoqjW9ORNyZ/v5r4GfAazqMz6yrnKBskCwDJkpq9r7eBnio7v69bbazbf3zEfEk8HDGvuuT\n", "whPAxgCSXijpx5LuT4cTP0vSk2kr7fUdDrwXWJJuY7cmTZ8Va6rx/prYIuKJ9NdN0vimS5or6WFJ\n", "y0kSXmZ8Zr3gBGWD5HrgKeDN9Q9K2gSYBvy87uF201eXANvXvX4jRv6hfR5wK8lMvc2AT9Dh/7v0\n", "PNrBwNYkQ3TNprY3xqr6++1I2hC4gmTYb6uI2JxkKLRZD9Gs55ygbGCk08jPAL4u6XWSxkqaDHwP\n", "uAe4uM3L610BHCLplZLGkUy8GOmH9ibACuAJSS8C3tfJiyRtJemw9FzUM8DjwKomTeeQDAMeJmkD\n", "4P0kCa0T49LbMmC1pOnAwR2+1qzrnKBsoETEF4GPA18CHgXmAncDB6XnkyDpPTX2oNY8FhF/BD4A\n", "XEbSQ1kBPEjSO2v2+na9sX8GjiS5Huub6TY7ee1zgH8C7iMZXnwNa5NbfazLgLeS9IKWAbsD89rE\n", "St1rVwAfJEngfyGZFPLDZm3NiuALdc0ypEOEy0mG6e4uOp520vNv9wBHRsSvio7HbDTcgzJrQtIh\n", "ksanQ2xfAhaUNTml10FNSM8p1a7BmltkTGZ5cIIya+5QkuG1+4BdgLcXG05brwQWkcxSfD3wDxHx\n", "VPuXmJWfh/jMzKyUNujVjiQ5E5qZWVMRsc5M2cwEJelCkmGDByPipS3anA1MJ7lA8diImN9pAFUi\n", "aWZEzCw6jqL5OPgY1Pg4+BhA6w5MJ+egLiK5yLHVhmeQzG6aApxAcmGimZnZqGQmqIi4jmSKbSuH\n", "At9K294ATJA0KZ/wzMysqvKYxbcdyXUXNffSYamVChouOoCSGC46gBIYLjqAkhguOoASGC46gLLK\n", "a5JE47klT4hoIiKGi46haBLvh3ifKn02EiCo+DF4HNjf/yf8udBOHgnqPqB+Sejt08fWIWlm3d1h\n", "/8NU0t4kpXV+kNXQBtqvSVY8/lvRgVjvSRoChrLa5ZGgZgMnA5dJmgo8EhFLmzWs+kwVA5LipHdG\n", "cEvRgVhxJJ4geS9YBaWdk+HafUmnN2vXyTTzS0kWWJso6R7gdGBsupNZETFH0gxJi0i67e8adfQ2\n", "yDYEni46CCvc0yTvBbOWMhNURBzRQZuT8wnHKmAcTlCWvAfcg7K2XIvPem1D1i4FYdX1FE5QlsEJ\n", "ynrNPSgDD/FZBzITlKRpkhZKukPSKU2enyjpGkk3SbpF0rFdidQGxTjcgzL3oKwDbROUpDHAOSSl\n", "jl4MHCFp94ZmJwPzI2IvkmmDX06XnjZrxpMkDNyDsg5k9aD2ARZFxF3pctmXAYc1tLmf5HoG0p8P\n", "R8TKfMO0AeIhPgNPkrAOZPV0mpUxekVDm/OBX0haAjwPeFt+4dkA8hCfgYf4rANZCaqTkkUfB26K\n", "iCFJuwDXStozIlY0NnQlCcNDfJbwEF+F5VVJorGM0Q4kvah6rwI+CxARf5Z0J7AbMK9xY64kYXiI\n", "zxIe4quwTitJZJ2DmgdMkTRZ0jjgcJLSRvUWAq9NdzKJJDktHlHUVgW+DsrAQ3zWgbY9qIhYKelk\n", "4KfAGOCCiLhN0onp87OAzwEXSbqZJOF9NCL+0uW4rX+5B2XgIT7rgCJ6szKGpKj6ku8GEo8DW0Xw\n", "eNGxWHEkzgb+HMHXio7FitcqP7iShPWah/gMPMRnHXCCsp6RGEPynltVdCxWOA/xWaZRlzpK2wxJ\n", "mp+WOhrOPUobFGOBpyO84rJ5Fp9laztJoq7U0WtJppz/TtLsiLitrs0E4FzgdRFxr6SJ3QzY+pqH\n", "96zmKWBC0UFYueVR6uhI4IqIuBcgIpblH6YNCM/gsxoP8VmmrATVrNTRdg1tpgBbSPqlpHmS3pFn\n", "gDZQ3IOyGk+SsEx5lDoaC7wMOAgYD1wvaW5E3NHY0KWOKs89KKvxOagK62Wpo3uAZRHxJPCkpF8D\n", "ewLrJCiXOqo8Jyir8RBfhfWy1NEPgVdLGiNpPEm181tHGLcNNg/xWY2H+CzTqEsdRcRCSdcAC4DV\n", "wPkR4QRlzbgHZTXuQVmmzJVvI+Jq4OqGx2Y13P8S8KV8Q7MB5ARlNT4HZZlcScJ6yUN8VuMhPsuU\n", "SyWJtN3LJa2U9KZ8Q7QB4h6U1XiIzzK1TVB1lSSmAS8GjpC0e4t2ZwHXAK5Ybq14NV2r8RCfZcqj\n", "kgTAB4DLgYdyjs8Gyzg8xGcJD/FZplFXkpC0HUnSOi99yIVArRUP8VmNh/gsUx6VJL4KfCwiQpJo\n", "M8TnShKV5yE+q/EQX4X1spLE3wGXJbmJicB0Sc9EROMFva4kYR7isxoP8VVYp5UkshLUmkoSwBKS\n", "ShJHNOxo57qdXAT8qFlyMsNDfLaWh/gs06grSfQgRhscvg7KatyDskyK6M2cBkkREZ6CXmESnwDG\n", "R/CJomOxYklsAjwQwSZFx2LFa5UfXEnCesmTJKzGQ3yWyQnKesmTJKzmGWADyZ9B1lpHb46sckeS\n", "jpJ0s6QFkn4jaY/8Q7UB4EkSBkAEgaeaW4ZOavF1Uu5oMbBfROwBfAb4Zt6B2kDwEJ/Vc4Kytjrp\n", "QWWWO4qI6yPi0fTuDcD2+YZpA8JDfFbPM/msrU4SVGa5owbHAXNGE5QNLA/xWT1PlLC2MhcsZD1q\n", "60k6AHg3sG+L52fW3XWpo+rxEJ/V8xBfReVV6gg6K3dEOjHifGBaRCxvtiGXOqo8D/FZPQ/xVVSn\n", "pY46GeJbU+5I0jiSckfPKmUkaUfgB8DREbFohDHb4HMPyup5iM/ayuxBdVju6DRgc+C8tGjsMxGx\n", "T/fCtj7lc1BWz0N81lYnQ3xExNXA1Q2Pzar7/T3Ae/INzQaQh/isnof4rC1fxW295CE+q+chPmur\n", "kwt121aRSNucnT5/s6S98w/TBoSH+Kyeh/isrbYJqpMqEpJmALtGxBTgBNYu/W7WyEN8Vs9DfNZW\n", "Vg8qs4oEcCjwLYCIuAGYIGlS7pHaIPAQn9XzEJ+1lTVJolkViVd00GZ7YGnjxqS2FShs8G2Ee1C2\n", "1lPA1v5csFayElSnVSQaF5pq8bpTb1v7+wFPwcH+Nl0tfwMeKToIK42FwKnpzSrlZ+Pgl5m956wE\n", "1UkVicY226ePrSPizE2zAjKzaojg08Cni47DinBwektIn2/aqck6B5VZRSK9f0yyE00FHomIdYb3\n", "bE39qcrzcfAxqPFx8DFop22CioiVQK2KxK3Ad2tVJOoqScwBFktaBMwCTupyzP1sqOgASmKo6ABK\n", "YKjoAEpiqOgASmCo6ADKqpNSR22rSKT3T845LjMzqzhXkjAzs1JSRMfLPY1uR1JvdmRmZn0nIhpn\n", "g/cuQZmZma0PD/GZmVkpOUGZmVkpOUGZmVkpOUGZmVkpOUGZmVkpOUGZmVkpOUGZmVkpOUGZmVkp\n", "OUGZ5USJFZImp/f/Q9Jnio3KrH85QZmNkKS7JD2RJqUVwKPAlIi4K20S6Q1JQ5LuabEpM2vCCcps\n", "5AJ4Q0Q8L71tGhEPNLRZp77YSEjKXHnAbNA4QZnlSNJqSTvXPRSSxpMsWbNt2tv6q6St0yHBj0la\n", "JGmZpO9K2jzdzuR0W++WdDfwX0X8PWZFcoIyG52sHpIi4glgGrCkoaf1QeBQYD9gG2A5cG7D6/cD\n", "XgS8Lt+wzcrPwwZmIyfgKkkr0/vDGW0bnQicHBFLACSdAdwt6ei6NjMj4sk8gjXrN05QZiMXwGER\n", "8YvaA5JWr8frJwNXNrxmJTCp7r4nVlhleYjPrLui4We9/wWmRcTmdbfxEXF/k9ebVY4TlFn3iLVD\n", "e0uBLSVtWvf8N4DPSdoRQNLzJR3a4xjNSssJyixf0fB7AETEQuBSYLGkv0jaGvgaMBv4maS/AtcD\n", "+7TYllnleMl3MzMrJfegzMyslJygzMyslJygzMyslHp2HZQkn+wyM7OmImKdi9l7eqFuswCqRNLM\n", "iJhZdBxF83HwMajxcfAxgNYdmMwhPkkXSloq6Q9t2pwt6Q5JN0vaezSBmpmZQWfnoC4iKXTZlKQZ\n", "wK4RMQU4ATgvp9jMzKzCMhNURFxHUmW5lUOBb6VtbwAmSJrUpn2VDRcdQEkMFx1ACQwXHUBJDBcd\n", "QAkMFx1AWeVxDmo7nl3Q8l5ge5LSLgZIbAwcB3GgxAuASyJYmfW6QRURw0XHUDQfg4SPg49BO3lN\n", "kmic/ND0hJekmXV3h6vwDyOxAfADkirVlwPvBV4p8b4Il7Ixs+qRNAQMZbXLI0HdB+xQd3/79LF1\n", "VHSmylnAKuCwCFZKXA78hiRR+XydmVVO2jkZrt2XdHqzdnlcqDsbOCbdyVTgkYjw8B4gMQV4J/CO\n", "2pBeBCuAI4AzJDYrMj4zszLLLBYr6VJgf2AiyXml04GxABExK21zDslMv8eBd0XE75tsJ6p2HZTE\n", "pcAtEXy2yXMXAfdG8KneR2ZmVh6t8kPPqplXLUFJ7ALMBXaK4LEmz78AmA/s2Ox5M7OqaJUfXIuv\n", "e44Hvt0q+URwN3Ad8PaeRmVm1ic6qSQxTdLCtFLEKU2enyjpGkk3SbpF0rFdibSPSIwDjgW+mdF0\n", "FnBi1wMyM+tDbROUpDFA7fzSi4EjJO3e0OxkYH5E7EUybfDLknpa46+EDgFui+D2jHY/BbaS2LMH\n", "MZmZ9ZWsHtQ+wKKIuCsingEuAw5raHM/sGn6+6bAwxFR2YtQU28HLslqFMEqkmPqYT4zswZZCapZ\n", "lYjtGtqcD7xE0hLgZuBD+YXXfyQ2AQ4GruzwJd8F3iatc7GzmVmlZQ3FdTLF7+PATRExJGkX4FpJ\n", "e0bEisaGFakk8QbgtxE83GH7+cBq4O+AeV2LysysJPKqJNFYJWIHkl5UvVdBcp1PRPxZ0p3AbjT5\n", "sK1IJYm3At/vtHEEIfH99HVOUGY28PKqJDEPmCJpsqRxwOEklSPqLQRem+5kEklyWjyiqPucxHNJ\n", "jsWP1vOlV5FUhTczs1TbHlRErJR0MslsszHABRFxm6QT0+dnAZ8DLpJ0M0nC+2hE/KXLcZfVAcCC\n", "CB5az9fNAzaTeGEEf+pCXGZmfceVJHIk8Q1gUQRfGsFrZwF3jOS1Zmb9zJUkuiydhXcI6w6Bdmo2\n", "HuYzM1vDCSo/ewGPj2KI7hfAXhKb5xiTmVnfGnWpo7TNkKT5aamj4dyj7A8zgJ+M9MURPAn8muQa\n", "KjOzyht1qSNJE4BzgUMi4v8Ab+lSrGX3emDOKLcxJ92OmVnl5VHq6Ejgioi4FyAiluUfZrlJTARe\n", "QtIDGo2fANMlxow+KjOz/pZHqaMpwBaSfilpnqR35Blgn3gd8IsInhrNRtIlOJYCL88lKjOzPpZH\n", "qaOxwMuAg4DxwPWS5kbEHY0NB7jU0esZxfmnBj8hOZ81N6ftmZmVSi9LHd0DLIuIJ4EnJf0a2BNY\n", "J0ENYqmjdDjudcD/y2mTc4AvA6fltD0zs1LpZamjHwKvljRG0njgFcCtI4y7H00F7ongvpy291tg\n", "F4ltctqemVlfapug0nWdaqWObgW+Wyt1VFfuaCFwDbAAuAE4PyKqlKDymL23RgTPANcC0/PapplZ\n", "P3Kpo1GS+ANwQgTX57jNdwBviuCNeW3TzKysWuUHJ6hRkJhM0mvcNl0dN6/tbklSEX5SBH/La7tm\n", "ZmU04lp8nVSSSNu9XNJKSW8abbB95BBgTp7JCSBd7HABSXV0M7NKGnUlibp2Z5GcixqoXlKGQ1j/\n", "tZ869aN0+2ZmlZRHJQmADwCXw3qvg9S30qKuU4GfdWkXVwGHSS7oa2bVNOpKEpK2I0la56UP9eak\n", "VvHeQFI94rFubDytir6cZNq+mVnl5FFJ4qvAxyIiJIk2Q3wDVknizcAVXd7HFel+cpshaGZWtE4r\n", "SbSdxSdpKjAzIqal908FVkfEWXVtFrM2KU0EngCOj4jZDdsamFl8EpuQVNmYHMHyLu5nT5Khvp0j\n", "KtMzNbOKaZUfsnpQaypJAEtIKkkcUd8gInau28lFwI8ak9MAOhT4TTeTU2oB8DRJ8dgbu7wvM7NS\n", "GXUliYo6Crik2ztJe03fSfdnZlYpvlB3PUlsBfwJ2C6Cx3uwv12B36T7W9nt/ZmZ9dqIL9S1dRwO\n", "/LgXyQkggkXAnXgpeDOrGCeo9SAh4ATggh7v+gLg+B7v08ysUB0lqKxyR5KOknSzpAWSfiNpj/xD\n", "LYVXAeOoW8ekRy4F9pfYvsf7NTMrTCe1+Dopd7QY2C8i9gA+A3wz70BL4r3AN3o95Tu9GPgy4D29\n", "3K+ZWZE66UFlljuKiOsj4tH07g0weN/0JXYkWfvpPwoK4RzgvRLjC9q/mVlPdZKgMssdNTiOHBfw\n", "K5GPABf04NqnpiK4FZhLcnzNzAZe1oW6sB619SQdALwb2LfF8zPr7vZNqSOJrYFjgJcUHMrngMsl\n", "zvc6UWbWr3IpdZRuKLPcUfr4HsAPgGkRsajJdvr2OiiJfweWR/D/ShDLlcDcCM7KbGxm1gdGvKKu\n", "pA2A24GDSMod3QgcERG31bXZEfgFcHREzF2fAMpO4mUkQ5a7RfBoVvsexLMryVDfSyO4v+h4zMxG\n", "a8QX6nZY7ug0YHPgPEnzJQ1E3TiJDUkmRXysDMkJ1ly4+w3g/PS6LDOzgeRSR21IfAV4AfDmMlUT\n", "lxhHsgTHhRGcW3Q8ZmajMdJq5pUl8T5gBvCqMiUngAielng7cJ3E4giuLjomM7O8dXKhbtsqEmmb\n", "s9Pnb5a0d/5h9pbEB4FPANMjeLjoeJqJ4A7gH4BvS7yx6HjMzPLWNkF1UkVC0gxg14iYQlKn7rx1\n", "NtQnJLaQ+DZJxYhXR7C46JjaiWAuyb/NORJfkNio6JjMzPKS1YPKrCJBsnjftwAi4gZggqRJuUfa\n", "RRI7S3yaZBmNR4B9Irir2Kg6E8H/AHuTnCu7Q+Ij6XVbZmZ9LescVLMqEq/ooM32wNLGjXWxTI9Y\n", "u+y86m5jSP7GccBzgY2BCcBWJB/oLwamkixV/z1gajpLrq9E8CBwuMTfAR8CPiWxmKTs1EKSf58H\n", "gUeBx4GngGeAlcAqkouxazcafs/b3yJY3aVtm9kAyUpQnX5INc6+aPG6T9VN1T5gFRyY5wdVsw/Y\n", "VSQfwk+TfCg/RtJDegj4X5Lrib4OLIhgVY6xFCLtTR2TzvL7v8DLgBcBBwDPBzYjSdIbkiTtMemt\n", "WYLvll3A12+ZVVmnlSSyEtR9wA5193cg6SG1a7N9+tg6Ij4zNisgG70IngZ+m97MzEolLXM3XLsv\n", "6fRm7bLOQc0DpkiaLGkcyWqysxvazCapU1cri/RIRKwzvGdrvjVUno+Dj0GNj4OPQTttE1QnVSQi\n", "Yg6wWNIiYBZwUpdj7mdDRQdQEkNFB1ACQ0UHUBJDRQdQAkNFB1BWmRfqRsTV8OwLQSNiVsP9k3OO\n", "y8zMKq6jJd/NzMx6rae1+HqyIzMz6zsjWm7DzMysCB7iMzOzUnKCMjOzUnKCMjOzUnKCMjOzUnKC\n", "MjOzUnKCMjOzUnKCMjOzUnKCMjOzUnKCMiuQpCFJ92S3bPn6UyWdn2dMZmXhBGWVI+lISfMkrZC0\n", "RNIcSfsWHVeWZsksIs6MiOOLismsm5ygrFIkfRj4CvAvwFYki22eCxxaZFxmti4nKKsMSZsBZwAn\n", "RcRVEfFkRKyKiJ9ExCmSNpT0VUn3pbevpAt11nov90r6sKSlac/r2PS5V0i6X5Lq9vVGSTenv7fc\n", "bpMYV0vaue7+f0j6jKTxJMvebJv2/P4qaRtJMyVdXNf+UEl/lLRc0i8lvajuubskfUTSzZIekXSZ\n", "pA1zPchmOXKCsip5JfBc4MoWz38C2AfYM73tA3yy7vlJwKbAtsBxwLmSNouIG4DHgYPq2h4JXNLh\n", "dtsJICLiCWAasCQinhcRm0bE/enzAEh6IfAd4IPARGAO8CNJG9Rt663A64CdgD2AYzuMw6znnKCs\n", "SrYElkXE6hbPHwl8OiKWRcQykt7WO+qefyZ9flW6kOdjwG7pc5cCRwBIeh4wPX2sk+1mUcPPZs8B\n", "HA78OCJ+HhGrgC8BGwGvqmtzdkQ8EBHLgR8Be61HHGY95QRlVfIwMFFSq/f9tsDddff/N31szesb\n", "ktsTwCbp75cCb0qH7t4E/E9E1CY0ZG03L9um2waSbhdwD7BdXZsH6n5/krXxm5WOE5RVyfXAU8Ab\n", "Wzy/BJhcd3/H9LFMEXErSRKaTtJj+s4It/sEML7u/jasHcbLWrztPuAFtTvpObEd0sebhp2xPbNC\n", "OUFZZUTEo8BpJOeODpM0XtJYSdMlnUXSC/qkpImSJqZtL263zQbfAf4ReA3w/brH12e7NwFHSRoj\n", "aRqwX91zS4EtJW3a4rXfB14v6UBJY4GPAH8DftuifbMhQ7PS2CC7idngiIh/lfQAySSFS4AVwDzg\n", "s8B8kkkQC9Lm3yOZjr7m5RmbvxQ4E5gTEX+pe/xf1mO7HwK+BbwfuIq6CR0RsVDSpcDidJjyJelr\n", "I33+dklHA18nGdabDxwSEStbxLvmtWZl5CXfzcyslDzEZ2ZmpeQEZWZmpeQEZWZmpeQEZWZmpdSz\n", "WXySPBvDzMyaioh1LnvITFCSLgReDzwYES9t0eZskgsUnwCOjYj5nQZQJZJmRsTMouMomo+Dj0GN\n", "j4OPAbTuwHQyxHcRSZHKVhueAewaEVOAE4DzRhShmZlZncwEFRHXAcvbNDmU5MJC0qrOEyRNyic8\n", "MzOrqjzOQW1HUpCy5l5ge5KyLPZsw0UHUBLDeW9QYlOSyuK7AFsAmwMTSCo4jAXGkLzf6392a5JQ\n", "B0PZl28p8bIRbj86vK1P2/rbapJK7cuBR4C/AHcCt0dQXyEjD8M5b68fDRcdQFnlNUmi8T9k0/FE\n", "STPr7g5HxHBO++8LVft7W8njOEg8l2Rdo2nAwcDWwJ+ARcAykg/Xh4A/kyyTsRJYVfezduuWjElB\n", "bx7pdtXhbX3aNt6eQ1LlfHOSYrVbkiT+3SQeBa4FrgHmRPDYSP8Q8P8JqOYxkDQEDGW266TUkaTJ\n", "wI+aTZKQ9A2SZHNZen8hsH9ELG1oF1WfJGGjJ/E8kiKoJwG3AD8Bfgr8McJ15bpJQsCuJF8MZgBT\n", "gQuBz0ewrMjYrL+1yg95DHHMBo5JdzIVeKQxOZnlQeIw4HZgZ+DVERwYwZcjuMXJqfsiiAjuiOCc\n", "CGaQrA68EXCbxLFpAjPLTWYPKq2evD/JEtJLgdNJxvSJiFlpm3NIhloeB94VEb9vsh33oGxEJMYA\n", "XyBZx+mYCP674JCsjsReJMuH/B44IYKnCg7J+kyr/NCzauZOUDYSEmNJlsWYCLylCyfpLQcSGwPf\n", "JpmYckgETxQckvWRbg7xmXWFxHNILmHYBJjh5FReETwOvI1kpeCrJMYVHJINgMwEJWmapIWS7pB0\n", "SpPnJ0q6RtJNkm6RdGxXIrUqOp1kCfM3RfC3ooOx9iJYBRxLsorvOT4nZaPVdohP0hiSk9KvBe4D\n", "fgccERG31bWZCWwYEaemy1nfDkxqXMXTQ3y2PiTeAJwLvDyCB4uOxzqXzrT8LfC1CP696His/EY6\n", "xLcPsCgi7oqIZ4DLgMMa2txPcjEk6c+H2ywxbZZJYhvgfOAoJ6f+E8EK4HDgTIndio7H+ldWgmpW\n", "JWK7hjbnAy+RtAS4GfhQfuFZRf0bcIFn6/WvCG4FzgAuTM8lmq23rEoSnUzx+zhwU0QMSdoFuFbS\n", "nhGxorFh1StJWDaJNwK7A28vOhYbtX8DjiApIv2NgmOxEum0kkRWgroP2KHu/g4kvah6rwI+CxAR\n", "f5Z0J0lNtHmNG6t6SXlrT2Ij4KvAO30tTf+LYLXEicAvJb4b0bbotFVI2jkZrt2XdHqzdlld73nA\n", "FEmTJY0jGVee3dBmIckkCtIq5rsBi0cUtVXdR4AbI1w8c1BEcAvwA+DUomOx/tNJJYnpJN9qxwAX\n", "RMSZkk6EpJJEOnPvImBHkoR3ZkR8p8l2PIvPWpLYCriNZNaev+AMEIltgT8Ae0U865y2GeBKElZy\n", "El8ANo7g/UXHYvmT+CywTQTvLjoWKx8nKCstieeTDBX7G/aAktiMZDmUg9JhP7M1XOrIyuyfgcuc\n", "nAZXBI9qXp81AAAKR0lEQVQCXwQ+VXQs1j9GXeoobTMkaX5a6mg49yhtYKW9p/cAny86Fuu6WcCB\n", "ElOKDsT6Qx6ljiYAvwFeFxH3SpoYEessXuYhPmtG4kxgswhOKjoW6z6JTwOTIjix6FisPLpZ6uhI\n", "4IqIuBegWXIyayat2XY8yVpPVg1fB96alrMyayuPUkdTgC0k/VLSPEnvyDNAG2jvBn4ewV1FB2K9\n", "EcFDwH8C/1h0LFZ+eZQ6Ggu8DDgIGA9cL2luRNzR2NCljqwmXSX3H3FJoyr6MvB7iTMjeKToYKz3\n", "elnq6B5gWUQ8CTwp6dfAnsA6CcqljqzOG4ElEdxQdCDWWxHcLXENyeSYLxUdj/VeL0sd/RB4taQx\n", "ksYDrwBuHWHcVh0fJvkmbdX0r8AHJcYWHYiVV9sEla7rdDLwU5Kk892IuE3SiXXljhYC1wALgBuA\n", "8yPCCcpaknglsDXJlxuroAj+h6Rm51uKjsXKy5UkrOckvg9cF8HZRcdixZE4lOTC3X0iOjrfbQPK\n", "lSSsFCR2Ag4ALiw6Fivcj4HNgNcUHYiVUy6VJNJ2L5e0UtKb8g3RBsyHSFbLfazoQKxYEawGvkJy\n", "PtJsHaOuJFHX7lrgCeCiiLiiybY8xFdxEhNIzjvsEbHObFCrIInxwF3AvhHrzvy1auhmJQmADwCX\n", "Aw+NOlIbZMcDc5ycrCaCJ4Bv4gt3rYlRV5KQtB1J0jovfcgnO20dEuOAD5IM6ZjVOxc4UmLLogOx\n", "csmjksRXgY9FREgS0HIYz5UkKu1IYGE6vdhsjQjul7gKOBH4XNHxWPd1Wkki6xzUVGBmRExL758K\n", "rI6Is+raLGZtUppIch7q+IiY3bAtn4OqKInnAH8ETo7g50XHY+UjsQfJ9ZQ7RfBU0fFYb430HFRm\n", "JYmI2DkidoqInUjOQ72vMTlZ5R0GPAb8ouhArJwiWADcAhxddCxWHqOuJGHWjoSAjwGf98WYluFf\n", "gE+4/JHVuJKEdZXEgcC/AS9Or3sxa0ni58B/RnBR0bFY77TKD05Q1jVp7+k64PwIvlV0PFZ+EvsB\n", "FwEviuCZouOx3nCpIyvCIcAEkgXqzDJF8GvgbuCoomOx4nWUoLLKHUk6StLNkhZI+o2kPfIP1fqJ\n", "xAbAmcDHIlhVdDzWV84APpVeO2cV1kktvjHAOcA04MXAEZJ2b2i2GNgvIvYAPkNyZbhV2zHAMuAn\n", "RQdi/SWCXwELSSZoWYV10oPKLHcUEddHxKPp3RuA7fMN0/pJWl/tDOAUz9yzEfpn4FSJ5xcdiBWn\n", "kwSVWe6owXHAnNEEZX3vU8B/RzC36ECsP0VwG8m5yy8WHYsVJ6vUEaxHbT1JBwDvBvZt8fzMursu\n", "dTSA0ooAxwE+D2mjdRpwi8SBEb7Ie5B0WuqokwR1H7BD3f0dYN1q1OnEiPOBaRGxvNmGImJmB/uz\n", "PiXxXJJvvadE8EDR8Vh/i2CFxHuBiyT2iqDp54r1n7RzMly7L+n0Zu0yr4OStAHJmlAHAUuAG2lY\n", "E0rSjiRlbI6OiKbDOr4OavBJfB2YBBzuc0+WF4mzgW2At/l9NZhGfB1Uh+WOTgM2B86TNF/SjTnG\n", "bn1A4j3AwcCJ/hCxnH0UeAHw8aIDsd5yJQkbNYlDSIZ394vgT0XHY4NHYhtgLjDTZZAGT6v80Mk5\n", "KLOWJN5MUmvv9U5O1i3pmlF/D/xCYlwEs4qOybqvkwt121aRSNucnT5/s6S98w/TykZiA4mZJCvk\n", "To9gXsEh2YBLvwANAf8k8XWJjQoOybqsbYLqpIqEpBnArhExBTiBtUu/24CSeDXJcMsrgakR/L7g\n", "kKwiIlhE8r6bBPxeYnpalNgGUFYPKrOKBHAoJJWqI+IGYIKkSblHaoWSmCRxjMQwcAlwNjAtgiXF\n", "RmZVE8HyCN5Gss7YvwI3SpwgPetyGBsAWeegmlWReEUHbbYHlo46ulFq8s1qfe+P5DVFbDOvfTyP\n", "pPr45sAWwC7AC4GXATsDPyc533Sll0KwokXwQ4kfA9NJqp9/TmIp8DuSS2MWAQ8DjwDLgb8CK9Pb\n", "qtpPzzotr6wE1ek/XOOHXdPXSTzd5jV5fCh3ojG2rPsjeU0R28xjHytY+5/5EZIiwL8jWZ/nRicl\n", "K5u0Uv6PgR9LjCH5MrUnyRert5N80ap96dqU5DNvTN3PMRKroauLaXYrAQ58Ys1KUJ1UkWhss336\n", "WBPjzlr7+8a/guW/amgw6g9lfxsyq6Y0Wf0uvXUkHWUZw8i/8Gbuos+22yMT94MV+9U98Mlmrdpe\n", "B9VhFYkZwMkRMUPSVOCrETG1ybYqfx2UpCHXH/RxAB+DGh8HHwMYYSWJTqpIRMQcYLGkRcAs4KTc\n", "ox8cQ0UHUBJDRQdQAkNFB1ASQ0UHUAJDRQdQVpkX6kbE1cDVDY/NarjvhcXMzCxXHS35bmZm1ms9\n", "rcXXkx2ZmVnfaXYOqmcJyszMbH14iM/MzErJCcrMzErJCcrMzEqp6wmqk+U6BpWkuyQtqF9lWNIW\n", "kq6V9CdJP5M0oeg48yTpQklLJf2h7rGWf7OkU9P3xkJJBxcTdf5aHIeZku5N3w/zJU2ve27gjoOk\n", "HST9UtIfJd0i6YPp45V6P7Q5DpV6P4xIRHTtRlJCZBEwGRgL3ATs3s19lukG3Als0fDYF4CPpr+f\n", "Any+6Dhz/ptfA+wN/CHrbyZZwuWm9L0xOX2vPKfov6GLx+F04MNN2g7kcQC2BvZKf9+EpCrN7lV7\n", "P7Q5DpV6P4zk1u0eVCfLdQy6xqmTa5YnSX/+Q2/D6a6IuI6k2Gy9Vn/zYcClEfFMRNxF8h9xn17E\n", "2W0tjgM0r6E2kMchIh6IiJvS3x8DbiNZ/aBS74c2xwEq9H4YiW4nqGZLcWzXou0gCuC/JM2TdHz6\n", "2KSIqC1FspRk4bVB1+pv3pZnFx+uwvvjA+nK0xfUDW0N/HGQNJmkR3kDFX4/1B2HuelDlXw/dKrb\n", "CarqF1ntGxF7k6xX835Jr6l/MpL+fKWOUQd/8yAfj/OAnYC9gPuBL7dpOzDHQdImwBXAhyJiRf1z\n", "VXo/pMfhcpLj8BgVfT+sj24nqE6W6xhYEXF/+vMh4EqSbvpSSVsDSNoGeLC4CHum1d+8Hku19L+I\n", "eDBSwL+zdthmYI+DpLEkyeniiLgqfbhy74e64/CfteNQxffD+up2gpoHTJE0WdI44HBgdpf3WQqS\n", "xkt6Xvr7xsDBwB9I/v53ps3eCVzVfAsDpdXfPBt4u6RxknYCppAs6TKQ0g/jmjeSvB9gQI+DJAEX\n", "ALdGxFfrnqrU+6HVcaja+2EkMquZj0ZErJRUW65jDHBB1K0lNeAmAVcm7002AC6JiJ9Jmgd8T9Jx\n", "wF3A24oLMX+SLgX2ByZKugc4Dfg8Tf7miLhV0vdIlnJZCZyUfpvse02Ow+nAkKS9SIZr7gRqS9YM\n", "6nHYFzgaWCBpfvrYqVTv/dDsOHwcOKJi74f15lp8ZmZWSq4kYWZmpeQEZWZmpeQEZWZmpeQEZWZm\n", "peQEZWZmpeQEZWZmpeQEZWZmpfT/AXjkhmn5JCUEAAAAAElFTkSuQmCC\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy import signal\n", "alpha = 0.01\n", "sig = np.repeat([0., 1., 0.], 100)\n", "filt = np.exp(-alpha * (np.arange(100)-50)**2)\n", "filtered = signal.convolve(sig, filt, mode='same') / sum(filt)\n", "\n", "fig, (ax_orig, ax_filt, ax_filtered) = plt.subplots(3, 1, sharex=True)\n", "ax_orig.plot(sig)\n", "ax_orig.margins(0, 0.1)\n", "ax_filt.plot(filt)\n", "ax_filt.margins(0, 0.1)\n", "ax_filtered.plot(filtered)\n", "ax_filtered.margins(0, 0.1)\n", "\n", "ax_orig.set_title('Original signal')\n", "ax_filt.set_title('Filter')\n", "ax_filtered.set_title('Convolution')\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Fast matvec with Toeplitz matrix\n", "\n", "The multiplication by a Toeplitz matrix can be reduced to the multiplication by a circulant.\n", "Indeed, every Toeplitz matrix of size $n\\times n$ can be embedded into a Circulant matrix $C$ of size $2n-1 \\times 2n-1$:\n", "$$\n", "C = \n", "\\begin{pmatrix}\n", "T & \\dots \\\\\n", "\\dots & \\dots\n", "\\end{pmatrix}.\n", "$$\n", "The $3\\times 3$ matrix $T = \\begin{pmatrix} \n", "t_0 & t_{-1} & t_{-2} \\\\\n", "t_{1} & t_{0} & t_{-1} \\\\\n", "t_{2} & t_{1} & t_0 \\\\\n", "\\end{pmatrix}$ \n", "can be embedded as follows\n", "$$\n", "C = \n", "\\begin{pmatrix} \n", "t_0 & t_{-1} & t_{-2} & t_{2} & t_{1}\\\\\n", "t_{1} & t_{0} & t_{-1} & t_{-2} & t_{2} \\\\\n", "t_{2} & t_{1} & t_0 & t_{-1} & t_{-2} \\\\\n", "t_{-2}& t_{2} & t_{1} & t_0 & t_{-1} \\\\\n", "t_{-1} & t_{-2} & t_{2} & t_{1} & t_0 \n", "\\end{pmatrix}.\n", "$$\n", "For matvec \n", "$ \\begin{pmatrix} y_1 \\\\ y_2 \\\\ y_3 \\end{pmatrix}=\n", "\\begin{pmatrix} \n", "t_0 & t_{-1} & t_{-2} \\\\\n", "t_{1} & t_{0} & t_{-1} \\\\\n", "t_{2} & t_{1} & t_0 \\\\\n", "\\end{pmatrix}\n", "\\begin{pmatrix} x_1 \\\\ x_2 \\\\ x_3 \\end{pmatrix}$\n", "we pad vector $x$ with zeros:\n", "$$\n", "\\begin{pmatrix} y_1 \\\\ y_2 \\\\ y_3 \\\\ \\star \\\\ \\star \\end{pmatrix} =\n", "\\begin{pmatrix} \n", "t_0 & t_{-1} & t_{-2} & t_{2} & t_{1}\\\\\n", "t_{1} & t_{0} & t_{-1} & t_{-2} & t_{2} \\\\\n", "t_{2} & t_{1} & t_0 & t_{-1} & t_{-2} \\\\\n", "t_{-2}& t_{2} & t_{1} & t_0 & t_{-1} \\\\\n", "t_{-1} & t_{-2} & t_{2} & t_{1} & t_0 \n", "\\end{pmatrix}\n", "\\begin{pmatrix} x_1 \\\\ x_2 \\\\ x_3 \\\\ 0 \\\\ 0 \\end{pmatrix}=\n", "\\text{ifft}(\\text{fft}(\\begin{pmatrix} t_0 \\\\ t_{1} \\\\ t_{2} \\\\ t_{-2} \\\\ t_{-1} \\end{pmatrix})\\circ \\text{fft}(\\begin{pmatrix} x_1 \\\\ x_2 \\\\ x_3 \\\\ 0 \\\\ 0 \\end{pmatrix})).\n", "$$\n", "Note that you do not need to form and store the whole matrix $T$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Multilevel Toeplitz matrices\n", "\n", "The 2-dimensional convolution is defined as \n", "$$\n", "y_{i_1i_2} = \\sum_{j_1,j_2=1}^n t_{i_1-j_1, i_2-j_2} x_{j_1 j_2}.\n", "$$\n", "Note that $x$ and $y$ are 2-dimensional arrays and $T$ is 4-dimensional. \n", "To reduce this expression to matrix-by-vector product we have to reshape $x$ and $y$ into long vectors:\n", "$$\n", "\\text{vec}(x) = \n", "\\begin{pmatrix}\n", "x_{11} \\\\ \\vdots \\\\ x_{1n} \\\\ \\hline \\\\ \\vdots \\\\ \\hline \\\\ x_{n1} \\\\ \\vdots \\\\ x_{nn}\n", "\\end{pmatrix},\n", "\\quad\n", "\\text{vec}(y) = \n", "\\begin{pmatrix}\n", "y_{11} \\\\ \\vdots \\\\ y_{1n} \\\\ \\hline \\\\ \\vdots \\\\ \\hline \\\\ y_{n1} \\\\ \\vdots \\\\ y_{nn}\n", "\\end{pmatrix}.\n", "$$\n", "In this case matrix $T$ is block Toeplitz with Toeplitz blocks:\n", "$$\n", "T = \n", "\\begin{pmatrix} \n", "T_0 & T_{-1} & T_{-2} & \\dots & T_{1-n} \\\\\n", "T_{1} & T_{0} & T_{-1} & \\dots & T_{2-n} \\\\\n", "T_{2} & T_{1} & T_0 & \\dots & T_{3-n} \\\\\n", "\\dots & \\dots & \\dots & \\dots & \\dots\\\\\n", "T_{n-1} & T_{n-2} & T_{n-3} &\\dots &T_0\n", "\\end{pmatrix},\n", "\\quad \\text{where} \\quad\n", "T_k = t_{k, i_2 - j_2}\\quad \\text{are Toeplitz matrices}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Fast matvec with multilevel Toeplitz matrix\n", "\n", "To get fast matvec we need to embed block Toeplitz matrix with Toeplitz blocks into the block circulant matrix with circulant blocks. The analog of\n", "$$\\begin{pmatrix} y_1 \\\\ y_2 \\\\ y_3 \\\\ \\star \\\\ \\star \\end{pmatrix} =\n", "\\text{ifft}(\\text{fft}(\\begin{pmatrix} t_0 \\\\ t_{1} \\\\ t_{2} \\\\ t_{-2} \\\\ t_{-1} \\end{pmatrix})\\circ\\text{fft}(\\begin{pmatrix} x_1 \\\\ x_2 \\\\ x_3 \\\\ 0 \\\\ 0 \\end{pmatrix})).$$\n", "will look like\n", "$$ \\begin{pmatrix} y_{11} & y_{12} & y_{13} & \\star & \\star \\\\ \n", "y_{21} & y_{22} & y_{23} & \\star & \\star \\\\ \n", "y_{31} & y_{32} & y_{33} & \\star & \\star \\\\ \n", "\\star & \\star & \\star & \\star & \\star \\\\ \n", "\\star & \\star & \\star & \\star & \\star \\\\ \n", "\\end{pmatrix} = \\text{ifft2d}(\\text{fft2d}(\\begin{pmatrix} t_{0,0} & t_{1,0} & t_{2,0} & t_{-2,0} & t_{-1,0} \\\\ \n", "t_{0,1} & t_{1,1} & t_{2,1} & t_{-2,1} & t_{-1,1} \\\\ \n", "t_{0,2} & t_{1,2} & t_{2,2} & t_{-2,2} & t_{-1,2} \\\\ \n", "t_{0,-2} & t_{1,-2} & t_{2,-2} & t_{-2,-2} & t_{-1,-2} \\\\ \n", "t_{0,-1} & t_{1,-1} & t_{2,-1} & t_{-2,-1} & t_{-1,-1}\n", "\\end{pmatrix}) \\circ \\text{fft2d}(\\begin{pmatrix}x_{11} & x_{12} & x_{13} & 0 & 0 \\\\ \n", "x_{21} & x_{22} & x_{23} & 0 & 0 \\\\ \n", "x_{31} & x_{32} & x_{33} & 0 & 0 \\\\ \n", "0 & 0 & 0 & 0 & 0 \\\\ \n", "0 & 0 & 0 & 0 & 0 \\\\ \n", "\\end{pmatrix})),$$\n", "where fft2d is 2-dimensional fft that consists of one-dimensional transforms, applied first to rows and and then to columns (or vice versa)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAiQAAAI6CAYAAAAXL1ObAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXmQZVtW3rf2zXkeKl/VG7rphx/IFoOh3QwSdASSsQaH\n", "mBy2sFFgDVbIoxSyA9misa0AYVmA7bAtMCKwFQEG2xgLmwAFwkKypYBgxtBIAqvBYlAD3c17Va9y\n", "ujlU5vEfmd/O3/ly7XOzql5Vvoa7IjIy895z9tnDGr417H1K13UxpSlNaUpTmtKUpnSbNLrtDkxp\n", "SlOa0pSmNKUpTQHJlKY0pSlNaUpTunWaApIpTWlKU5rSlKZ06zQFJFOa0pSmNKUpTenWaQpIpjSl\n", "KU1pSlOa0q3TFJBMaUpTmtKUpjSlW6cpIPktTqWU95VS/vu3+tobtHVeSvmn3oq2pjSlKT1/KqV8\n", "Synlq2/x+V9ZSvm223r+lJ4/TQHJRxGVUv54KeXvl1IOSim/UUr5xlLKxtA9Xdf95a7r/tRN2n+c\n", "a5+GSil/t5TyJ5/1c6Y0pSm1qZTyy6WUw1LKXinlfinlb5RS3oFLusuf26Lms0spv6eU8k+eZ2em\n", "9OxpCkg+SqiU8mUR8TUR8WURsR4Rvysi3hURP1BKmWvcM/P8evhYdNuKbkpTmtKFDH5e13VrEfFS\n", "RHw4Ir7erilP0nApZWT/zz5RD6f024qmgOSjgEop6xHxlRHxp7uu+1td1511XfcrEfHFEfFqRHzp\n", "5XVfWUr566WUbyulPIyIP+5hz1LKHy2l/Eop5fVSyn9y6SX987j/2y7/fvUy7aLrf7OU8hVo5zNK\n", "KT9SSnlQSvn1UsrXt4DRY4713yil/Nylx/b9pZSPwXfnpZR/q5TygcvnfgO+e62U8n9djus3Synf\n", "Pil6NKUpTemCuq47jojviohP8K8ianT2B/kF07KX6Z2/Wkr5vlLKfkT83kvd8h+VUn42IvZKKaNS\n", "yu8qpfzwpfz+TCnlc9Dex5ZS/l4pZbeU8rciYudJxlJKebmU8l2llI+UUv5xKeXP4LuvLKV8Zynl\n", "Wy+f8w9KKe/B919eSvnFy+/+YSnli56kD1N6MpoCko8O+qyIWIyI/50fdl13EBHfFxG/Dx9/QUT8\n", "b13XbUTE/xSIRJRSPiEi/ruI+JK48Ig2IuJlNpk8+7Mj4ndExOdGxF8opfzTl58/iog/GxF3IuJ3\n", "X37/7z7Z8Gr/vjAi3hcR/1JcKKMfjIj/xS77QxHxaRHxz0bEF5dS/gC++0txMa7fGRHvjAsQN6Up\n", "TalNJSKilLIcEf9qRPzIU7T1JRHx1V3XrUbED8WFPvnXIuJfjIjNuJDNvxERf7Hruq2I+HMR8V2l\n", "lDuX9//PEfETcaFTvjoi/lg8ZiT1MjLzvRHx03Gh2z43Iv79Usrvx2WfHxd6ZSMivicivgHf/WJE\n", "vLfruvWI+KqI+PZSyouP04cpPTlNAclHB+1ExOtd150n330o+p7ED3dd9z0REV3XHUU/5PqvRMT3\n", "dF33w13XnUbEX4i+wGfh2a/quu6467qfjYj3R8SnXrb9/3Rd9+Nd151fRmu+OSI+J7n/cejfjoi/\n", "3HXdP7oc61+OiE8tpbwT13xN13W7Xdf9k4j4v9Gf/6/rur/Tdd1p13WvR8R//Rb0Z0pT+q1MJSK+\n", "u5TyICLejAvj/V8+RXvf3XXdj0TUiEtExF/puu7XLv//0oj4vq7rvv/ymr8dET8ZEX/oMhL6aRHx\n", "n17K8A/GBbB43JTRp0fETtd1/1nXdY+6rvuliPgf4gIYiX6w67rv7y5e5PbtEfEp+qLrur/edd2H\n", "Lv/+zoj4hYj4jMfsw5SekKaA5KODXo+IHc/LXtJLEfGb+P+DA+28zO+7rhtHxBsTnv0h/H0YESsR\n", "EaWU33FZBPcbl+mhvxQXns3T0Lsi4r+9DOc+QN9eGejP6mV/7pVSvqOU8sHL/nzbW9CfKU3ptzJ1\n", "EfGFl9GKhYj4MxHx90opd5+wrazIlJ+9KyL+sOT7UsY/OyJejAvd9OBSJ4l+5Qn68a6IeNme8b6I\n", "4Jg+jL8PI2JRuvUyRf3TuPeTYqpHnhtNAclHB/1IRBxHxL/MD0spqxHxByPi7+DjoRDnr0dEraIv\n", "pSzFkwvbX42In4uIj7tMD/3H8fT89KsR8W92XbeFn5Wu63504B6N9z+PiLOI+KTL/vzrb0F/pjSl\n", "3xbUXdD/ERcy9N7kkoOIWNY/j5HGoD761Yj4NpPvta7rvi4ifiMiti5TR6J3xeMXv/9qRPySPWO9\n", "67rPS/rTo1LKu+Ii0vvvRcT2JVD7B/GEhb1TenyaKuyPAuq67mFc5DO/vpTyB0opc6WUVyPiO+PC\n", "A7npXv3viojPL6X87lLKfFzUWDypsK1GxF5EHJZS/pmI+Hce8/65UsoifuYi4psi4isua12ilLJR\n", "SvnDA22w76txoTR3SymvRMR/+Jj9mdKUfjuSakjKZQ3XVkT8PL6TjL0/Ij6xlPIppZTFuF6fdRM9\n", "8u1xoX9+fyll5lLuf08p5ZXLtO9PRsRXXeq390bE5w03F1FKWaAeiYsalL3LYtqly+d8Uinl027Q\n", "z5W4ACyvR8SolPIn4iJCMqXnRFNA8lFCXdf9FxHxFXGR430YET8aFyHNz72sB4nIt9PWz7qu+4dx\n", "EZb9jriIluxFxEfiIvqS3T/knfy5iPgjEbEbF17FdzzGvREXEZZD/Py1ruu+OyK+NiK+4zLt8vcj\n", "gkWr2dhEXxUR/1xczM33xgX4mm4tntKUhul7Syl7cSE3Xx0Rf7TrOgES6o4PRMRfjIi/HRH/KC4K\n", "zl3eB+Wt67oPRsQXxoUe+0hcRDO+LK7s0B+JiM+MiPtxUd/2rUPNxUUqdxxXOuQgLqIqnxcXtWX/\n", "OC7S2d8cF0cltPqpMf5cRPxXcRGR/lBcgJEfGhrTlN5aKhd1PVP67UiXKZ8HcZF2eZJ87ZSmNKUp\n", "TWlKbwk9VYSklPIHSyn/bynlF0opf/6t6tSUnh2VUj6/lLJcSlmJi2jLz07ByJRum6a6ZEpTmtIT\n", "A5JycQroN8RFUeUnRMSXlFJ+51vVsSk9M/qCiPi1y5/Xor8dbkpTeu401SVTmtKUIp4uQvIZEfGL\n", "Xdf98mUNw3fERX5wSm9j6rruT11Wnm92Xff7uq77hdvu05R+29NUl0xpSlOKp3m/wCvR32P+wbgo\n", "SKpUSpkWqExpSr+FqOu6Z7EFcqpLpjSl30bU0iNPA0hupCA+5mM+Jt71rnfF+fl5zM3NxcLCQszO\n", "zsZoNIqZmZk4Pz+Ps7Oz6Lqu/pycnMTp6Wnv89FoFKPRKObn52NpaSkWFxdjbm4u5ubm4vz8PB49\n", "ehSnp6dxfHwcJycn8ejRo3p/KSVKKXF6etprNyLqZ48ePYrz8/M4P786DFXPfPPNN+O1116LtbW1\n", "2NzcjM3NzVhaWqr3/eZv/mZ85CMfiTfffDPG43GMx+M6LrWpfoxGF0GpUkrvGSsrK7G2thbLy8v1\n", "s+3t7XjhhRdiNBrFhz/84fjwhz8c29vbsb29HUtLSzEzc/HuvA9+8IPxa7/2a7G3t1fHrTFrnh88\n", "eBCbm5u98eka/UREzM/Px/LyciwvL8eLL74YL774YoxGo9jf34/9/f06Ps1x13WxsrISy8vLsbi4\n", "GAsLC7GwsBBzc3MxPz8fJycncXR0FMfHx3VtDg8P4/DwMA4ODmJ3dzf29vbqHC0uLsbGxkZsbm7G\n", "vXv34t69e7G9vR0/9VM/FV/0RV8UZ2dncXZ2Fr/0S78UH/jAB+JXfuVX4sGDB/HgwYO6pjMzM7Gw\n", "sBDz8/Pxjne8I97xjnfEx37sx8Zrr70Wr776aszMzMRoNIrZ2dmYm5uLmZmZOD09jZOTk9jf34+H\n", "Dx/G3t5eHB8fx9HRUW9O5+fnY35+vo5veXk51tfXY319PdbW1mJtbS0WFxfrNTMzM5Xfv+7rvi7e\n", "97731bGqv/xf4xNvaF0oH7qv67rKZ7qH35N0Tdd1MTs7W3nH2xa/eF+6rotP/dRPvYnIPwndSJe8\n", "+uqr8fEf//FVPnxuJGsud5yTUkrMzMzUH82F2uScPnr0qK59q21do+s0x5IzyaD45f79+/Haa6/F\n", "8vJy5aWIqPrr4OCgysfh4WHlv9PT02tjUfsak55B3lxdXY3l5eU6V7pOa8xxSTbH43F9/unpae9Z\n", "e3t7sbGx0dMZ7IfkamZmJpaXl2NlZaXq64WFhXrdo0ePql7Q/In35ubmrun40WhU+6r7qEfG43Gd\n", "q4gL2VldXY2VlZXY3NyM7e3t2NjYiJWVlfjJn/zJ+KzP+qw4Pj6Ovb29eOONN+L+/fv15+DgoNqD\n", "lZWVWF1djZ2dnaqP7t27F3fv3o319fVYXV2NxcXFOhfiG+kT6T31TXwj/ltYWIjFxcVYXFyM5eXl\n", "WFpaqvpXny8uLvZ01Wg0iq/92q+NL//yL+/xP+VAn/N3Fbbk+uw372/pFa4/f7ee33VdfOInfmKz\n", "nacBJL8WF+8LEb0zklNCHzx4UAd4586duHfv3sWDZ2djfn6+MhmFXABDRIFbWlqqBnB2djZmZ2cr\n", "gx4dHcXJyUkFNBJiXUcgEnFhCE5PT2M8HlfjKmaZnZ3tGfSVlZXY2tqKra2t2NjYiPn5+djf368g\n", "aG9vL/b29q4Zhkm7mDTeUkrMzc3F4uJifaYMm645Pj6O09PTngKRET08PIzj4+ParuaTCuD4+Pga\n", "k4iBNEeak+Pj49jf348HDx7EzMxMHB0dxdHRUZ3TjAT2jo+Pq7J1kOcK343e7OxsLC8vx9bWVty7\n", "dy/e+c53xvr6eiwuLsbS0lKMx+OqjO7fvx9vvPFGHB0d1bl2xShlsrOzE1tbW7G6utozLJoTjU8K\n", "mUCVgFjzpP6sra3FxsZGVXYrKytVgdJoTqJMEWj9eE0GSiKiAl3d5/Pha3CTvvzoj/5o/PiP//g1\n", "4/MM6Ea65P79+/GBD3wgSimxvb0dOzs7FUSQOBcZv8tg6vfMzEwdIwGF/7jjlH3P++mA0FCLd2Rk\n", "HOi0QM6QPtGzCLT5QzmkDLLveqb4XgaUz3C9kvEF+8JrOAYZ7JOTkzpGzhU/49pIv0he5SDJ2XFj\n", "L0dPTsPy8nIFbAJDp6en1YaoPxEX4E0OsMDd2tpaBVnz8/M98C7dqR+NT/ZIc8k1Ei8IhOhvATLp\n", "UY2JOqWU0uQH5/shUMJ1Y7v+26/zNc/aj4j4sR/7sfiJn/iJtJ9OTwNIfjIiPv7ygK5fj4sXM32J\n", "X7S1tRWvvvpqREQP4WkRxRBigogrRSzPUn9rEQUWxABcdAqxGMC9JQqfGJEejdoWM47H48rUQvmn\n", "p6dxeHgYDx8+jIODg4qA3RvTWGXU1H5mPCUo9N5Go1EdE721s7OzKpACCvLiqTAF5khUGPpfz5ud\n", "nY2FhYUagdHzMk9RwqtnUtELYOk5akMGX+BR664+ybNbW1uLra2t2NnZqeCTnlXWhnhL6ybv6M6d\n", "O7G1tRUrKysxPz9f54sKQ/zA/7VGapcKROCDSkqejAwc59gpMy6u5MkrTs5DJM0322AEQONRP5wk\n", "K5/+6Z8e73nPe+q93/RN35SO5S2gG+mSzc3NePXVV69FM7zfHJNHJBkh8SgLQQV1RBYZoVxk4EHE\n", "CMnCwkIFJIuLi7UPAvlnZ2c9g+ZghOQ8QueJssxoGI0TQYj+5rMZMc6MjeuPFgjRHFEvCZAoeqA5\n", "ZXuMmhCQMPrgep8gUPOtKI1+5ufnK+9I3tUPtiEHWPcr2rK0tFQjwOondTPnz0EdI7OKJDsYYTRJ\n", "tq7l3LRARvb/JCfEeSsDJX7NTdv8zM/8zPjMz7zKwH7jN35j89onBiRd1z0qpfzpiPg/I2ImLg62\n", "+nm/7s6dO5UJ6I2QKcfjcUXDmvgspCpgovvFBDJMBCQebnJlIpQt5qaQifmVSllaWqrhOUURjo+P\n", "Y3d3N+7fvx97e3vXQFXE9TBWxlSZV0PDrjFkXtTR0VEcHBzE8fFxD4BFXIEwKaOFhYXaF86tKxIC\n", "At2TeYJaO0Zs1H+GZ7V2Ev69vb0KAjln4g95Nevr6xVMzM7Oxid/8idHRNSIltbclYiiF97G1tZW\n", "LC8vV4/m9PQ09vb2Ynd3Nw4PD3vASXMpntDaqG8CIQQi8ngdjNBgvPe97+3xI2Sprk0GSLQGLaPE\n", "KEHLiyYw1frTY84iMRmYfRZ0U12ysbFxrY/6m59l0TI33O4cuJGWLhF/ewTXAQmBjMhTgwsLC3Hv\n", "3r1qeEQCv3p2S5dFXPdEs3G58zY7O9vjOY2XzqB795QBPnd+fv7aM/35+oy6giDOIyTqm2Qz4ipi\n", "y/Zp5BnNYX913/z8fNUD+lHq6uM+7uPi/Py8B0akjyTz0mOKjAiQKNVGPaK2CEY8qqV5kdMpHiAY\n", "EVBV2o0OvK+7dInLQkO+UvDiRHCefd66vtVedv2k654mQhJd1/3NiPibQ9fcvXu3x7gRfU+G6FSK\n", "knl6KXlOqoReTECGYnRE17siITLWtRQy/ShFtLOzUxlSTCjDuLu720v5XM5L/Z15MiT3ajhmRpLo\n", "zWhMyvkqStBa7FJKTwEy1+xRHObXNVYBOM0x86MS4vPz85pL1bipnLquq+kltkFAIs9BgEhzXkqJ\n", "T/7kT46HDx/GeDyOhw8fxv7+fpycnKRekcK0m5ubsbGxEevr672Iz8nJSYzH45qS2t/frzzH9REA\n", "lnITMBUYUbuaT19nX/P3vve9lS/ck/H1Gvpe15Ac1GTXay2o5AmM/PqWInoWdBNdsrm52ftfa+9A\n", "JOJ6jZaDEirfVsSDaV/qEE9zEIy4LpFcz8/Px8LCQuzs7FTDQwBDIESjNrQ++u1rS0eOHjbHy4iM\n", "p2wyICSSjGcAxH/rGVorAn6fXwImpWw4135vBhrVX0U3VJ/B9Mf5+Xm89tpr8frrr1+Lrgs4KIrF\n", "6IhqOubn56sjp/XLahfVZzpl6hMjN0zR6DumEluRETo3Ds6HIiWPQy0A4cBlqO0MQA/RUwGSm5A8\n", "MRVHOShxQ352dhazs7NV0YvIhGqDYfZMefAn834ioidQYgKBAhZp6odCI1DAMXjYWAyu6xlKpwB7\n", "PwQWZEBZjMsojsCcnuWo1RXUaDTqFUrpOs1l113UU3BusgI0zTfD3BFRhY6Fc0yzHB4eXgNY9MZZ\n", "jKfct9o4Pj6OBw8exAc/+MF444034vj4uDeHS0tLsbq6GhsbG7X4V1Gts7OzWiS4u7tbi2lVREgP\n", "y4sepTRWVlYqwBFYWlhYuJZCoKH0KIfmW78zxTFJoTANlCkkevNuiClnvI7kYOR5ApMhchDBvx2M\n", "UKao2KlkWe9BnnTj7DrFUzueqqEM0xv2cDzXgXLOFASdGs5DFqXgmDXuDFi6PmTkmGMh6Mn0JIuB\n", "W2CPDpR0loCfxsp1ZLqRY/V+e8qG13PumfqgPmWRvXSXZF0FudJDWc2I9DFBjdJPLDlgtIoASe0T\n", "jHhUpDWvLb6/KehoXddylIbabTlO7O/j6JJnDkhmZ2d7njSVs5iLxlwMJTTKPJyHGLOwqYhM7Dk9\n", "CqELsLwZ7uYhIFF/BbSYNtDzvB8SaAISD+27h8McJUO4NDIy0gIkbE/ECIyiIhKEubm5XsRIAi9B\n", "VVtMk/ia0VNQVIlKgFEsARIqdgckjHCooFftn5ycVEBy//79OD4+roIvJaI0jYoe19bWKrA5ODiI\n", "s7OzWoBMQOJggekfgZH19fVawCpF4qBOf2dC7EpkCHxkBpeKqQVYOLduVESefnCwkynBtwMocYXs\n", "UQsRgTkNqD7zWiivA2DUw9eUxtvrS/h86hI5APTUJXuK8tFAZ+kaX4cMlGQgzOsPNA6OLwNa7jh5\n", "21n73jfONdcsAyQi6VXyO6M7Hl3RXBGYEZAw0q6IoMCDF5uyjk+RkRYgyYphuWnAywy8XsRTNYq8\n", "OIjM5C5zaJ4UjGS6qgUysraGvn9bApJJ1eL624sqxUDu1XmEQ88QMBBRcXuxazaRTBUpV7ixsRGr\n", "q6uVGZWLJUMKbDnQUR84xsxbYUhP1/oYsnmIiF6UQtfrWZ6DpVISwGCFu6e6FHJUhISAiAosImrx\n", "KkPT2narPrJozL3NiAsl7gpEfdUupjfffDN2d3djf38/zs7OKliQwpcCESDZ2tqKubm5mprTGrEI\n", "mB7co0ePetExFq7qZ3l5ubd1nevJWg6uewsscJ15j9Yxi17we/XbPXj3qlt9oCF3o/N2AiIijiMD\n", "VG6ch4pX3UnJ0i+M/GWAxAG1fujUSA74Q8PDPrlstJS9K/hJP5PmM+Oh1nxmnjvb09rot+tAAhLN\n", "txvgbO0cNPF+6aqIKzCoSIPmmZEVyb/sheTda9Ak8/pOtkTtyO7QYcz4QHrKgQgjI14rma2V/936\n", "7es7BFwyx+cm97R4NLNvj0PPHJAQDDAEGtFneHnHWiQKbMSV0DJiQIMplCpSmwIPWeiVpBwft3Kq\n", "joGAhKE6z0FmHo0vXGZ8XDm5d+C1GB72ZERGbWg+aSTpIcgzYYhR7Wu99EwpcAc+VNaet5UiPjw8\n", "7EVyXPGqPfdqBP60m2l3d7cHSEopvRyvzv9YXFysO3S2trailFIjO26A6NVq3BFXoVvxgYMR9Y9r\n", "4t4c23UQ1+IH8aF7lJxzJ59P92yzPrgBpDJ3b5fjuG1yw5lFdzzayYghdQi9a3covH4hWz+Pynh0\n", "U7LgYIQ7JzId4eNqAdch4OEOCGmSARoCJEwDZenh7G+uHX/oALkcZWlmghzaEvKw9AhTJVp76TAB\n", "EkWmIq4Aidd3MJ1CQKLxkXfUJwIpRkbk3DB1x3NWyKs+l9l8+jr69UO89DgAo/XZUN+exol5boDE\n", "i6UcedOYyTv2sCrDdAQkzL1GXNVOiBlbkRExje/bd6NKJlP7WVQh4npIVdfrM27Ba4XmWgvqnzN9\n", "QiZRuyyM5Y97d13XPyyLjCxA4kqKfc9CpR7l4BZhPcMVEHOoBE9HR0f1YDbVEC0tLcXW1lZsbm7W\n", "Mwa0lsr9Li0t1YOTmJJS32m8RTMzMxWMKP0j5STF5MrYlakLN5Upv+PaZ0LO/pJaCsvBrEdahhTP\n", "kDdNoHOb5EAqM5ysb6DcupLOikgJVLPnZPPoz+YujxYYaUVHqEt8bPx7SD9kvNJa86Hr/JlZVGTI\n", "wA2tG8era9m+1owRjixKkqWWuDnAIyQCJXKuSrk6mkCpbO5+UUqWRw60QBX5RO2xGD5L0TBa5o7A\n", "EAjxNbvJerbWy3VNBlhb7XpbTxsdiXgOgISFkA5EuHA82TIi6uKzYIjbRZk+8HSJjC6Z2I0s00NC\n", "qtxS7GAjWwQKAT+PuF7c6iBJ/SBAoAeia1zwBKLcuFMw9bkXp6lf8hI9pKr71QcqJyp2kepc6DVx\n", "p5Cu1/pERI18qP8eGdFcKgqlCIcOP5qZmamFpXfv3o3t7e3qfUio1dZoNIrDw8N4/fXX4+TkpOc5\n", "Mf3GedVOGp3Iu7GxUcEp78kE1ueS4EefO3AVkUddwWXXZf+74SBvZO1RFrne/E7j8CjcbZErzojr\n", "W+edB+Vh+/x6Ias7GT5vmR7g/Hk/CELYp5Zx9ahdxM1SMpOAiDsf+j67dsjIeURkyNCx71yzVuTJ\n", "72lF69iW86rPO+2JR9WUoifwEnDg9ltfJ+pkjln9ZNpaYMQPO/OU76RI0xDoGKIhUNK6xnk965Nf\n", "8zQREadnDki4FYpARMiQ9QZeNMQcnVdFe22KM5wDkIj+2RxSEsoXythEtHO6/I6GjAZc5AVxEdcj\n", "JLyWhp/9lQAQzBEAsE80SLpPfaQSpAJkWkYKVp6FxsB+cw7VD3ox9E4ESLgDSu2KGBlhVEWgqZRS\n", "C2KPj49jbm6uni3y4osv1m2US0tLvb5J2YzH43j99dfj+Pi4p3A8laV+KDqiE3k3NjZ6/crAbyaQ\n", "FPAM9Om3G6cs6pW1yc9EmXEi/7jyJL/weqZxSik9Xr5NcsWZRScIAFiHRpDIH08ne8G8AEKmqLmO\n", "niryyAijI2rHwUgWbeU4bwJE2EfXX0NRrhYYyYxepif5WdY/180tMOLpoaz+x3Ww5JeRbq/V8UjG\n", "aDS6BhgVxeAuQUV3s0g/ea8V7XdAwrYJurK18PmfBEBaazkEHh/nuqH73ipQ8swBScRV9XLEFfNQ\n", "YLn3moZCBozGT9/LsLnw6j5fPCpfen4UIP2tyElWK3ByclLfwaLaBCouRkE4fk/5ZIpHfeIuFwE0\n", "RZMi4lrIkfdqLARDFEz3PNzbZKTGlXiWHmK/KFwegvZxu1ezurraO1FV41KNzGg0qkBieXm57qLZ\n", "3NysSoVKt+u6a0dLE2wpgiKl5KFVVr5HRC8i5xEP57sMjDg5SBHReLjh5fXZnGbEPmQGjuRRNsrL\n", "W+kFPQ2pbwTDboy4dTviuoHOoiKZI9NaW1JmVB1wuuERSLwpGPG2st9uvDnOiLiWLs/Gwuf4D4GC\n", "xqDrORdPs6bZc3zuKROMTrOY3nU325C+Go1G9fBGHuiokgHdJ/3D9J7WinUudHBb27z9oLMMiGT/\n", "T5pXBy0twDfUXguMDAEj1ydD/eL1Q/RcAAkNhsCEin08VE8h9DywM6ob1MxQuGBRIOWp+zUtQBIR\n", "9XAvnThK5E1lyT6KYfU/lSMBkj4X40vINGfy+llgOjc3l25N9K3NjLyQgQg0zs/Pq2J3hSCBdCZX\n", "ODybZ9+K3QIk8/Pzsba2Fjs7OzUFMzc319uWNzNzdVjRaDSqx8qvra315lXPZZpPqT56rxqrCn+l\n", "QPgyMK2/0keaS1dyolYYehJlhs9BBvnWeTxTPG4k+Tf5gPfw+8wg3TaxL9QNXgfmToSncltgIEsl\n", "3ASQeP8yA+syJxnNorxD42abjEy6fiQg6bqrnYZqT/PCZ2RjYLuuq6hjM8PlRiqbH37nz2J7HqnW\n", "PZoDHjrG+gx/DssENIde6yOnV1EQrZWiJZo79ZOpIr4sTz+0JVkNmht4zq/Pqc+ry30W0R8CFkMg\n", "aKgPvqbeL6eb6sPncg6JjEBE9IwLj9vOFJ4ml+jeJ0oGUZRNkIORiKvFE6Ppuiwf7XUNOk9DldoE\n", "F67UHMmeJKAFAAAgAElEQVR7f7ySnCfPepEdd54wF+r71wmCKJxqhxEQZ2IPwbpiJ/Eaj3Cp727I\n", "9aOxq6p9dXU11tfXKxjRXOgdQQqpSsCVTllaWrpWtKx15VuJCf44N1pntUuPJis+dN5qCT8/z/iR\n", "czikzCcpfV+PTMlkgOKmCqLl/dwG0Sj6boqsKDoiejzr6ZoW+CDdxKuLuL52Q6kHgpFsl88QyGHB\n", "Jw0uo8gyptJrMzMz9TkOjDJela7KxkE9ljkmPgcZH/v9rhu4frw3S5VLl2QREk+lSw+Rb3xnnxxH\n", "1vMwssYxEtzw3TSMjNwEiLR4qaUXWvog++0ApPV3pscm9ZM0BEom6S3SMwckLDISEZBwMlhsKIOk\n", "FEl2ZkbElZJiuNm9e/3O0KSOXxdDkdGp9CKi7j/nMcGu0NwwUmG0PA8JydnZ1Xt51L4O21EKR332\n", "6Mf8/Hwv4kN0roiHIg5UOCQCJRpwjSvbXkyDLu/i/Py8V4gaET0loGfpVFaefKpCMkU3Dg4OKhjz\n", "45x1mqvAG+ddwFF1KPKgmJLx45oFkBiy9Up+N9BUlJMMt3t9QwAmU/C8N1s/pg5bHu8QWPLv+fN2\n", "ACXinYjoyaZHSij/TOG15jujISDWMqy+fh7hdbDA+gQ/DK0FKh2IqR8eHaHTMhqNevVguieLDBFI\n", "tAAJ51ep8yyCwXaoH9Uf9ZU6N4soUcbYR+oSOhN0KHyNBCJol/jaCOq7IfmUzhUI0bN9J43Pmbcz\n", "CSQ4DzgY8esze9cCGBn/Z+3o2RndBGQ8znXPHJCwsKs+dPbqbYdMBYhZqFjlJTN3x1TAzMxMD8lS\n", "8COuT7AMrT5jdIQ5PlcmEVf7zv3tkETuWd0ElYnGSPAVcSEojCr4+xkkqAQkCimqHQlTRNQTTxm6\n", "5PilSFzxEtBx/A5I9BwKJo+LV2rLAYl25giQqIhUqRJGRxSJmpmZqekUvUtGnkgppbfdW2PUdmEW\n", "5VJh8F0SfD+HeJXKnULpilK/CT7Jdx6ZGzL6LvwEJX5fy2Bm6TPvO2uv9JxJnvPbgcjHDkayKJ2D\n", "kVZkhORz1qKhazKHw40rIyT8cXDAPhGQyJCS6JxxvJJ1yrv4gNfqmYxQUA96PR/bcD3IeSDvPnr0\n", "qDcfZ2dn19rmnA0Bdl7r0RHKMHlB9/ruTs6lp8AzMKIIqx/OyAiJpw8zpyKjm8hdFiG5yb1+T0sO\n", "sjac12+iG1qAq0XPDZBwCxW9TypXTbIiBHoLML32LLfOCaVQUiE5qhRj0eNgka0KKKUkxPg8DM0P\n", "2PIIiPoj0mmiLJbUG2dHo1GNMHCbLAVfY1Cf9FvPYUhb7RBcCbVz7jQeV7ACOgJ8i4uLvZfrcV5Y\n", "EMaQOddMvLCyslKjTAIkOsaeY1IdyNHRUV0TekaPHj2K3d3dXvu8j4BV8y1loRfv6bAzRZeUGqJh\n", "ZtTJeY4KU9fze/JaFq4dAiW65ibEORC/kQ8dJLWUjXtgnjK9baIhJCBxw0++y7b2DhlPdyQ8nUnK\n", "ZKb1oza77nodS9YX9okRCk8zqF22T2dFEYmMR7jGbuzVb9eRnn7w+fFxkK84dh7qyOgkj3/IAJnm\n", "QYCDAIOpa42PkRiOz4EU+06+IUjTMzT3OpBR77Ri/QhBkadLRS1Zd9DA8WSgYNJPq12/JrsnA9xZ\n", "OyTXi97+ED23lI2KM6nYfDurSKdzqmiUBoJKYUjxE4G7IYjov2+Cgk6kLQAiL2NmZqYXYuUpqXyG\n", "C7Seu7i4GFtbW703z+pdKlIeSt0QTLBtFpZy7B7ZEdgQ0JFhphfigMQVJwHJ0tJSTZ+pv+ojazAY\n", "kaFhKKXU7/TuGN3HbdcCJDxyXmuvuZ2dvXg/0sHBQZyenvZefMhD2DQvUiDyYPQCvrW1tQpIlGLy\n", "ynyPOLAvTlnYWrzhgJjzTIWeKZyWZ5KBPvfwxRNuiF3ZeT9pgLN03W2QZCGLYGZetcbbOmeEwDLi\n", "6uh/GtqIvjEjca75v4PBDJBkxayZLssAiUdICEIYRWaffM2dHx2QqO+uIz0qxXG54aFed5CoU02H\n", "AEmWtpT8MyWjz7weUc8iWJJuHCpm9nXRPGjeFAHRW78ViZad80PPnE843/536/8MGPDaISDSui8D\n", "DRll9rPVx6ydmz4n4jntshHJs6E3wsEq1H58fFwBSev8Awq+PPWu63pKSUQBccOdCTvziIoGKOWU\n", "RSQy5cG2CE4oOCIeGucC4kYqy6W60pIgu4ITuqfXLIOta8iomqPz8/Nezno0uqpHGY1GvciIGwf1\n", "SaCOfdecZsfK04sq5eJwtMPDw9qHR48e1W3XNLo8hC/iInWlFM/m5mY9Un5ra6uCEXlMipB4VEFz\n", "Q+I8UcF7iiczakOejEdZ2A/Oj7eTyYf3kyCD4+Bnns6gsbttci/Z6zMcjJAf/KRotumggrJIEOqe\n", "qoOPoRQNd7x4XxwosE2OkY6TfjIjymdl+rBl3Px7749/xmicxkrD44ZMesmdtyxlk8kJ71GRPtvw\n", "CJk7spob15UOnAhU+DzpcJ3crLo3RXilX1upGs5FRkOy3AIlLV3SAomtzyf1q/X/JIDhz55Ez+Xl\n", "ekNFZ1QkElKeHeECS8ah4GcGmAaCUQ43nA4i1G8BJIEiPc934JC59aPwnYynK46Ifr0Jd6SIWp64\n", "xqd5INAi87q3415kRFyLCJA5CW58nphW0m6pDIhQcah97fXX3Dx8+DBWVlZ6qRdXrAcHB9F1V7Up\n", "ep764u8T0jj44r2dnZ3Y2dmpgEQKXXls1vYQPKlPVMa6jzzsETyuTwsMZD/ukfNzhuOHPBLyEI2i\n", "Ayz9zxoDf6bvLrgtckPi/EYZy+ozGIaPyAt+I/pg0B0AByMth4B6icWkjP55uoayJpn2Ghk/RNAd\n", "GKZEpCNbKQMSAQd/cz7ED5xrB4O8x//WNZwrriuNtwPwzA44SNJ8+/jJw+5EZuCKz5S+j7hy3gRE\n", "9KOX7zGa5MCUc5HJ7ZDR9nlxkPM4gMTnsvVM5/ehdfX/ec+k5zg9c0DiXh29bvcaFaLX2RHywEXO\n", "PC5sRLfZgom5GPrNlNz5+Xl9Q6y8dzImAQkNL9tVikD9FjKnkqMBleKiwLoydG9FY+PcZBGczLBo\n", "juhteHjU22fulqcV8ghmN57qi1IyAjpzc3O9KIiiYfrcPb6IqFt55+bmqjJQ31v1AQIkm5ubsbOz\n", "E3fu3Km7eiKuThLW+LI8NIWK4WA9h+vaAhOcS/I8AUg2b9n6EThk/MD/HQz697qGBoYGZ0hR3ga5\n", "3NKwOGhrgZGWPPmauTLl3GWgJPPwCUjUlu+oYTsy0tRV1DFMVzAdTDDmY3W+a81rRP9wQ7btUQbO\n", "G/vM9mgA1Ra/dyfJn8tneuRRNoRt+RxI14gX3KnwCDl1KEGi5lopGe3yU4E8d+hkYCQzzhxnxnO+\n", "Npnu9zWaBEoc3LXWxfs2RK1rWmOcRM8lZSOD5PULJEUjdL6HK42IfjRAjCNDzy2Bjmy9biUiroEJ\n", "9Un1FGJqpQUoBGo7Q8FUFKwD0bHkKysrUcrFkeZ86Zv6TUYZ8mxopDLmYiqCx677VkGFGGnwnHE5\n", "56rR8HCpwpXj8ThGo1Hs7u7GgwcPeusYcQXOBMak3ARG1ecMrOl+zblAnxS1vE/Oo84s2d7ersfB\n", "E/TwLdGZR8P5Fp+SPzhHVNYEleo3f6tNGqVsffVM1gYQ3Lq3yL5mxqjlWfkzOdf++W2R87j/psF0\n", "UOsGTb9bSl7tOu+64XZw5IaRYERtkic8Osv1zACJ5LDruh7Q4nkm7niQsrE6gCXfRlzV+rH/4kHp\n", "O59HGvYM1BCsqG0HUw6CfA0d1BOMSPfqfjpQEVdns2TtkjQ21RfyFFZ/J43zjtpryY/LJ6MyrbXK\n", "yMGHg0DOs6+J22Ffw5s+NyMHYjehZw5IiBwJSDj5WjQBEk+RuFJQGzxWnECHHq8rZ2dKppFk0ASO\n", "eA6IDK4ENstfu5ejdJUKtpR3PDk5id3d3WuARP3k3LWMSCbcvF+IXkZX/faokAqwWh6l0hmqHNeW\n", "Z3kfWRi567rY3d2N+/fvx+zs7LXjmKk8ZeC1c0nrQA+SQIPzq106Gg+3/2oeFhcXrwESjVHRuNPT\n", "02vnOnAu+VvfZ4DEo3O8NgMNWZSFRCXrXj89Md3PZzrf02hmCorE/kqGbhL2f9aU9ZVEY+nAxO91\n", "mWUb+u3KmQDNwYivn0cTfBxsl06LADmdOHecuIY8KiCrTfFnDxk7Gk8HogR9DrqzWgyuh//O1pGA\n", "nluDqbc9Asnv2TbboF6nY0p9rntZ1yfS+ARG+EZgRsk5R84znAvOjet9rpnGpt8uf/6sIcCRAcBJ\n", "gGQIuLpuabUzNB8tei4pm2xyZJSk8DysSoVB5vfJ0DPEgL5FUQzJBZWiZZRDTM86DjK/+q57WW8g\n", "5cE3jeo+KpZHjx7VYt29vb16TkfGXB5e9O+z60nMo3LXScTVjhzVXwiEeZSEIEHpFEVI1A5rLjh2\n", "3ct5zFA7lRgNiO+yUZhaIIQgJxN6ASFFpbRr6uzsrPaNdSdM02juyMPuvTgYpHLkupGX6N1m8yGl\n", "7G1zbaik/NniOf+dKUb3Tnk/+b1l2G6DspAzZYFz5ddFtBViyzB4+7zXwYhHSKSTsnnkOlJ3EERl\n", "0Qfyp/rlgCQDXxx/C9BxjckrBCbSo5lzmDmPrYiIAzKOk+Nl6lDzqXuH0jwOarKUTcYfGb8QdDHK\n", "zzFmMtSyVRmP+ectR7RFLQDypIDkScCIy8mT6oznAkjoscj4yLBpob1wzr0Xv46L13VdBRISaLbj\n", "KaJWCJSMLGFkXYjaECBhVMDf6unjKOVip8j9+/djPB7Hm2++GXt7e72D2ajQmKfNPDWOzQ2OBE4K\n", "iocucVwCSdrJ4kzFyAS36VEpEJDwHRFcJ1dSbiC4BlQoimBwS6CiTCqk1ZipNCOutpvTmzk/P++9\n", "24bglbwkBU+F5kCZAMHXz9cs874yUEn+9SgG5829UAcNlB3NL/si3tC1fA4jmM53t00CjjSOrtAd\n", "lJBa6+OgpqWs2Y5HGh0YS37JJ+yz1ovpTq4/DTWNgKczPF2TyZfrBh+zg1l9xmiQxuJ80AIjHHvG\n", "y+wfdx0y0kc+F89KD7X6zDlR+5QprVe2vm602Q8CL/UnS7dmYMdBj+7PIkUEqmzT18vH3QIfPvcE\n", "hENAgvqDz/HnZX3nb1+jSfRci1q1iBHXj+T2/zMGd4HPFld/extk9GzPOpUIhYyTq3azFznxqGAq\n", "SkaEVM8xHo9jf38/xuPxNcb3Z/liOqNkCkbPVeSDnhM9cdYlOLihZyED7YpN1wiELS4uxsnJSQWO\n", "zsD6W0BGfaGQS+kIsOpgNKVmVIvD3VBql16Q1pjH2SsiorQTgZWISk19Jf+qvw5SIuKaYeLYpQz9\n", "c5+bTIlTiZC8jUyR6H/KB71wtuV8RAD7dknZtJS9eLoVHRG1wIivQWawI654xcEI58jXkaDPIwAC\n", "8noGAQlTDpRbriFrJrLoSGucbuR8nJwv/+1GzNOF1A2tKAn5lZFmnx/qnOxe9SUDhL4WXdf1zkhq\n", "8VEmT24TJI8Eabq21bbzWGutWmvRohYQaUVKvC/kCV9ntz+t+2/S38yeOT2Xbb+uALVwfmpoy3vh\n", "BGc/2UI7yoy4irL4ll0aREUsuLAEIer30tJS9bZ1fLC8cAmEFIUMocYio+jGTMKYRUe46JlxcpTO\n", "e/QcFtzqeypNn3e+PNDXQ8rDvTTVxOgajZfPF3jh87uuqzublFZRhOT8/LyCHYXBBbYIonR/xNU7\n", "Kx49ehT7+/u1TkTpJ/WJOXn3LjVezisVlq53pezKkXzZ4ukhHqeiy4ylxsw6Leftruu/pNJz/hqX\n", "p0Yd0N8m0dN1TzviOmAhOX9nirFlPHh/ZqSy+abMuIFl1FXAmsCRPOzjphPhoKTlcfO3ntX6nL8z\n", "8HITYKPxDvF3tg6SUdbNuJPkdX8ij3ZnctTqGyMq2TgyWfaIKeUsI5fZIUM+ZLSzdXMAkoG/Fm+3\n", "ZIW2KVtj3j/Uf+epSfTcAAkXUYzGrZ8aGBWkG3d6pWQkXR9xpZSyHB6LOHk8Me9V2/K2BaQEOlTg\n", "FBEVkCiNMDs7W8EHIyM6BdQVasT1E1YdgWfggp+TnIFc8N3j0tx6m+wj/+bz6SkSkBDQaQ0YPlX6\n", "hXMocMYD0rgF/Pz8vJdm0fdHR0e1D1TmTMk9evQo9vb24ujoqPeuHfWPn2XKuTXfnBMPbWcKTEDT\n", "FcMQ0NbcM2et9SHPulz5AX+UF4Jden3qr4NSzW9W8Pe8ycGIA3Pn1Ra5J98CiH6PA5IMAGZeuu53\n", "T5sgppW6lvxE9NNtXjPSAiMt8JGRr//QPZOMEfV3xuduUCP6gIT8RvDsaWI9L4tg0LbQ6aIOpF3J\n", "nucyzXYd1Gcykhn9FkC4SQQhW5OWczMEsP0755MMnA2BmyG66bginmNRa0Q/vMdiSjIMc8SZ18qz\n", "QPjWWypPMpLuo4dO5cE8LY0dtx4zpKr2Vc/AlIXACsOCFBL1xQXOAQQ9b17TWlQfZ3YflW9EHnrL\n", "1kqKhdvm3CNgnQoFVekSr+fgzh56hCxa874x2jQej3t5ZOagqei5DuIlKTHWvfCUWecbPV+UCSND\n", "zVq/oYhCpqQz4OdKNvNu9PyIfpSN65l5iM6Xzi8ZOLttysAcyecvA5nUBQJxutfB2BAoIbhwb17t\n", "sZ+ZDmQ0qsUHNJa6jmlNb9/7e5PPWnM9dG8GXG9ieP37zOFyA+2ySX3bGhPntCU3fj3baUW/MkfF\n", "eSHT1a15Yf8z3T3UhugmkRHe0/rOAZg7V04ZaGl99rYBJK4QCEiOjo7qZ2IIAY2seFUM6Dsi6OU7\n", "46gPGXMxh+vhO51HwtNbOYa5ublYXl7uRXR0vRS6ivDcI+L1mYfjDEUl6Mwlci9CbfpnLqhqm8DA\n", "++lehiteByTyzlnwq90uiiTNzMxUL0/gj1v1OEd6jgpdeYQ8w9/6nSkRN0ZM3+kn4x0XymzuPDWi\n", "/mYGX5R5j4ygsJ/OI1ovB0QOSMSDBCScp4zHdI3G7or6NskdFe9XFmXKQInGzggpo04RuWebKWuP\n", "bnJtPKqr63nyp/jY7xE/SP40Ppe1zLBlfz/OOt4UjJC/M8Pv89iShSHwR1mVnFFe2UbLIDOS2SIH\n", "BVonbn4Y0g9DoCQDXtnzvQ+t9fJ59sgIdcNNwUgLFPlz2V/XG637M/DaoucCSDh4hvH1MrOs0Mi9\n", "OoIRXe8pGykZngrKPrSMk0KlUgxKB4iB2Q96wwIgVDoMK7LANUP+nCP/nTEFQUVLQWT3UWgYusxQ\n", "O5/FvyloLcHm/Gj7r2pvlpeXY21trZ6QqnlltMiNpgt6yxBoPfS3TlTUG4LJN/7D7dvOh5zb1ljZ\n", "l2zO/TPOdWZAvX2CyyEDy3nQM7xdnz+PMDjYfLsAEdHjApIhQycZYtSPskFwmJHPpcuEgwfqGvK5\n", "n2PBGhEBDrbtUbWsX9n/Q+C4RW5I3Wjqc17fAiUZDfGXeJpOg3ic538QeEdcj3TxWZne8BQR1yk7\n", "Y4nAyNvKUnecm6HxZ/w0Sf4ye5mBvwyMtPp1E9l3gHsTMMPnD9Fz22VDBS8GUr2BJl/eshcMiUmU\n", "AuAJrAqPS3jFYJnXqf8VriWD6nqla46PjyuTCuD47hz1yQ8U80O9VKTpgCRD0G4UMjA1BGwIrAgC\n", "9VseN9fH51ufq00JueZBpL5y15GOalf9hsABDxVSrQkNpYjCSKVAULO1tVXfpkmDzd0+y8vLsby8\n", "3GvX149AhAZdBsHBJOed6+FKiOvL+XPFoLn3ugHeqzVl8TGvYbrA29bfDsL542CbaQS1R364TeJ8\n", "OZ9GXD/pM1u7iH6URPzD3wRs2VySXJY1p9Q/raJTOi4RUR0q9qPrunpe000MVcuZUd90zRC1DPrQ\n", "92r3JkYnazvja8o+357LOdMcZ+Ca8hlxdVyDdJJ0lVLIdF4IRPxIhwzYtCIpQ8Ak0xf+MzTHQz98\n", "1iRg3VqDIX7JwAi/y8CoZGmInnuEhIpQaRHVaDB8T8CQLT5Roa47O7t6lTUBj/qReYw00gIkAiVS\n", "8jojoIWEfZsqzwPwcYmGjJmH6lsAhMbD0XHGmIzu8J7Wrh5/trw7MpUUhwRc4ENKWFuiBUi0u8aP\n", "n2d7rPNQykdtrK2txebmZu8FfdrGK8Wi9NDKykoP0Hlo3QEKI2KK3pCHuXae+msJc+axZYBEn7si\n", "y6ICBETOP87nHm3ibwc4mRJ9XOPyLMmLrSP6itAN/xCYdAAnedMceKprkiJ1xUwgqTSmR20IikW6\n", "hnI65HnrWd6PVh+pEyaBq6zNISPpf7f6yL5kbTM6wiMVBFCo9xhFyvpNZ0zt0Xni8Q26h8/mJghG\n", "UVughA7CkBxlBj2TVTfoPudZZOQmgMRtSkv+s2e3QEjrHjo1k/TJc9llo0JEMhBfnEeh90mV0mSd\n", "CEN3Op9CHnnE9byedr7oO68/8IV1xaFrhaJV+yCGpmGTdy2QJWbXjiIPn0dcMYwLJOfEGU/9dmaj\n", "otXcSYH7d9n9attBC4kK1YmCWkqpQERzx+28fJOyr5nWiaetrq+vx+bmZty5c6e2J75Qhb6iI6pX\n", "oVFxJcG+6ncmRH692srSSb62mfFzr47f65nu+TtAz7wpeiAtL438kykU8hoPjhsydM+LZNy1Tg7g\n", "Mn4WZUCenwmA8kwe36URET3ZI7lxZV8cVLoca/2lZ/gMr0NzvcHfjwMkJq1nphP8c+/D0Py3DBoB\n", "AFMkjGBIz1IvOqAnEKVup8zIXkg/rKys1OMa5HRG9CMk1N9KG4lcB3h0ZCialTkwGSggX98EoGTg\n", "0O3LpP4MfX+Ta0kuB1makfTMAYnSFfJAdJw4d2M4ECBj6fuIfqHgaDSqKZyZmZkKOrgbhFGG4+Pj\n", "uuDOtD5p+u3oWsWvAjcLCwu1VkKHojEaUkrpHZ7GbbEZgiZTKj3ihobkDEjh41y1kHSmHF1JE5A4\n", "qva/RRL+ubm5WF1djbW1tZiZmYnDw8MYj8e901I9XURhnpubqwBjdXW1B0gE/rTuKnRVhEaAJEuJ\n", "aEyuTGjo3ABlP5lHk80FU4JUotmc+84jB5tUypmBEt8yjUMZy3iGv9lHfw3DbZPmja934Dq2lHXE\n", "dU/UARvnbjTqvxeplXJrGWBel4ERB5wtQ3R+fp7WLWTAh899HPCRfeftZd+1rp8ESFoOgdd1MSrq\n", "b9QVb2aAJCKvQWNxvQCJ0rrSVQS5Doy4s8f1ZQZChqINrjtbDobPdwYqWryYOZyZzDvPZevm30+6\n", "3v9nJP5tAUgUDREDaVEVfnPkx+K8iFwIyGhezOeDdiMg4j3ZYjkKp6JmXxkpUOpAC01kzdy3MyuZ\n", "Q2Pw6ERmHNlXXucgpqUcdb9HElzBM5RMT4B5VnkS3OKrcKs8boISptRceczMzNT0Dl9oJaBRSqn1\n", "Rq506FlReWleWI9BBaIxtwpUh9IfNP7OU04Zv7kXwToI95B5X4taPML+Z95U5hy4Ab0t0lpy7DxY\n", "rAUMRJny98LzDOC11nRI2buRcLlzfcS+OEhi/YKnb1o8NkTkBachUBfR3h49CaT58x2MUIcwrUK9\n", "onu9Ps9fi0HQHnFV0J69II9vC1ebHiGR46m5p15uOSguf9n4h+5rzX8LFPMzl2F95/bGP8+el4Hb\n", "SbqnxftvC0AiQ6RBkAld8dOwCLEq6pEtNIXTlVU2IRH9CZVwSUAd4Mh4qTbk8PAwIq7e4ss+S6lJ\n", "mHR/VuTkzMx21L5vZXYgRUbmWP0QJfZNa8H2NY+6V/PAkKeeqfGwwEznsUjI9ffq6mrdUXN+fh7j\n", "8TgODw/rkflHR0cVnLJQjDtfNHbVnrDAjKib42Ax2tzcXB0DAcloNOrxFAGl/8/5diWSpUUyYfT1\n", "dsCXAd9MmdBIkW/YT65VpjQjrlKeVOxuRBhlY1TwNsnBiEcCMyLQcKLxysBMBoB0nWQrAyl8rgNN\n", "niGiv3kODnWa2pFRZH0bd+c4j2VzkAFTvyb7X9fqdxaJcsDlIE3ka+e1Gqzr8NoNAgGujRs56gHq\n", "FAES6Sk5Spp71fh4xIa6ROvi9kS/XS9n6+E6teXQ+FoMgb3s+yxCMtT+JPJxTuoj9bNHsobouQES\n", "GnweIkYm1mCV69N3irC48hczR0QVVgqyC0hEXFMuXDCGuqWIFeE5OjqKg4ODXvGb2pMSiYgqWBp7\n", "VjQ5ZOAionfAWAYMvA0qSVcMjB7pMz9CXAZazMOqdDfOrFTn7heCkqWlpVhdXY3Nzc0Yj8dxcHBQ\n", "509vOFYKzYWT7etvKSlGY1QUK96iIhJgovfMtJ/W3r0TkYfFvZ/sq6+Dr4UDgwyYUsGK58ibHjF0\n", "IO0Gh/zvypF9p8JwD9OB+9sBkCjCqH4y2hpxXSbccPqaRuT1JLqeaWV9RlA7BIL8/wyU0DlQtFjG\n", "0AGJXp0gGVAaPHNusjG3QBn7N+mziOvFvZkx5L3sn+aNfMidNF5sSsBA8OcpRRYjM+LCXTkeuc3a\n", "1zNopwhKdA1TqiLykzsAfk2m+4ecGs71pDmnLLvty/qStT3klGX3ZwCVfSEYeVsAEv3W7peIqIBE\n", "hY1E/xyslJAQrgur2hdTuxeieg6PyGRehQycT1zXdXF4eBhvvPFG76RRKXTuChHIEpMdHx/HyspK\n", "HB4eRtdd7S7hwmULnRlronMqhowJyWAeHXJjyWv8HhpY9lP1Iaurqz0wIiV5enpaIyHHx8d1nQlO\n", "lfIRiOPbfBcXF+v19HhIGaBkZEQGvhVipTLweVJ77n1nysa9Agmhe4v68ZRMFsJ3HhBPZWPPeMjB\n", "pHtuLSPkY8hqcG6LGPXzedJnLUXZ8uxIWdRraL4ycv5i3+UwSRednJzEyclJ79RijkdeO6MHusff\n", "G+Xym/VL8zMETPh3xh8th24oQuJ6zHe7sJ7DAYNvPKBu99Qrd/sxFcNNEIy6tCIZjJy10qVusLP1\n", "91LQ3ooAACAASURBVLHze792Elh0HdMCH9l1WR8dgJA/srVrjW8SGMl+hui5nUMiAyGlq3C/mErF\n", "oCp61eRoAGI2BxUOWMSs4/G47ugopfRO9nND5oCEhbG6fjwex/3792N9fT3W19d7zyfyV3RETH1y\n", "clIBiYov3dirLTcq/MnC7K4EWmjaI1BkYnqTzmitXUERV4Bkc3OzFwJ1QKJoiJQo58sL2BYXF2vx\n", "6srKSl2LrA+ZF8F0UilXWze5U6T1o/ES/GneW6CGc815zox4S1Dd+JP8Gc4j/jmBmWSM/aVide/J\n", "55LA/u0ESNzYReTRwtZaZeQANYsSqU3XG0POhANKyZiMHOWCuzwYSe26rsrHyclJD5QIsLiuonHx\n", "ecr+9vuyOeZ1/J0ZSL+Wz2SahtFVgRLpEukTOgXiSW5eoOzLKRWo8ZeoykbwDKMMQEjXMo3GCDbX\n", "yGkIkAwBlWyeWwDDHQdGIvy+bA0cjGRA1a/Jxug8MwSaGIkdoudyDkkmGESgDK2pgp7pF9ZAuJBz\n", "Rw1BDBU+lbH6xL7w+yx8dnZ2Vl/yJqOnszaI3NVf1b+UUmJlZSXG43E1zgcHB9eYRQbavWB912Kw\n", "TBGT0YfQK2svNJe8n8RQsiIYGxsbsbm5GZubm71TUak8eMicIiRaQ0XIfBueAMny8nJPYfNtyRxT\n", "xPW3OAuQZECCY+J6Uygz5ZF9nq1PZujJRx4NcQHm2rINeoJuONh/5x3nFYa+M57S/wQkbwcwEhHX\n", "5NqBQba+Ipc3/9uNU6YLeH3LaLcAL+VLB50JWChKwvNKZAAZdZUhljxwJ5BH11qU6WOfi2yMGdib\n", "xPskrxlZXFysMi+5JxBxB1IywwLWiKt6KEVGuJ2XukB9yF6qyvVmm/oZArWZEXde4N83ASVD6+Fg\n", "hEY/+9776Toh4weueWusLXIg0nKYW/TMAUlEP+XAEFjEVeqGnaXiZl3F0dFRD7xEXEwAw3ICM76t\n", "MptMfe4hPT8BVIVtXdfV4tbFxcVqJD0NUUqp7ZydncXq6mrd6ipAIuUi4kKqb5qTDP1SeFhHQVDA\n", "zzSHPFfBDZrPi37o0Wjb7ebmZmxtbcXa2loFAlKaNGp8a6++E3iQAllfX4+1tbV6tPzq6mosLCzE\n", "wcFBHT9fxOh8pfNHMkWWCUFmeHR9xi/iEf3dIlfkVAIEgkzn8MeVvn/mAJ3fZ0aUn5E3WyBIz1U/\n", "/UTd2yb2bQiUON9z/l0+sjY4V0P5/RaQ9DYIjiOiB0h4oB91htqQAxRx/dh4RkYoHy2+d37JDF+r\n", "jUlGkteQOA6CEZ26vLa2Vh0S1YkxekEd7MX4um5mZqaCEIEbvZldu2cYmXfj7OvsEZJJYCRzaLI5\n", "IH/wfraRzWVm5BlxyAy/87XrJPKDr/FNgEdG/mzv401AyXMBJBHtoqvRaFQFTp2VAaPgsPhLqRsN\n", "0vPlQ6mGDDmKCbm9jlEZ0fn5eX2N/dLSUq+wUhGSrBBLXpAKPB3hDpEbrJb3xYIsGh0ft3sYnAc3\n", "ZqzzEHjY2tqKF154oYIRvWBQ6SkvztQL8Xgyq0Cony+ysbFRPSUBHNYUZUxNr4e7f7LwIAUwm8fs\n", "c84N10Ofk2/9b1f6VCReo+T9zPiAz/QxOfAYGmPLqFDpMTw+pJSfJw0p4Ig2GIiIazKURYrYRgZG\n", "RNl9fm8279RXjB46IGEBJXfzkX+kc9SfUsq1yNsQUPDvM2OW8eUQIOE8+G9PqaysrMTa2lqNhuo8\n", "ENaMUGZY26fxUmcLiLCuTfPHmhOm/MkTlB0/wZkg1ufTQUnGC63U0CQakk8HKBmgZF8zXfVWynTG\n", "T2/LCIm8gfPzi6JWhvD99FR6AkTEipRwN4svtj6bm7t4C68MoRiRJIWg0z31mQwvw3yu1HzXzcOH\n", "D3vV2GqHhZhSQhrL3NxcHB4e1jRQxmi+gPqMBkff02PMjDDntKU8qMT53Wg0isXFxdjc3Izt7e14\n", "4YUX4s6dO7GxsRFra2s1UiQPjaBHykDrq2evrq7WyMjW1laNtmxtbcXi4mIz/TYajXrvO9J6a561\n", "dl70yLlwoJrNmRsTn3MaNs2dKw1fR/+b/eD66BkZb7fWJ1N6bpjJC9n6i7c918u23g7khor99bGL\n", "j3zuZbz9+szA0lAJFGTALuJ6KpoGjdfKwEoX0gCyLxFRdRGL9sUr3F2iyIpHQFuGjHphCGRwLrJ2\n", "/RpR5tAsLi7WqIhSvuvr6/U7rgF1v6LJdGgU/VCqhhHWlZWVWFxc7Mknx0z+0XdD6+cy5OBkyMnJ\n", "5DIDMeShmwDBDHhk9/HvIQAyBKZboMr7533NnjGJJgKSUso7I+J/jIi7EdFFxDd3XfdXSinbEfG/\n", "RsS7IuKXI+KLu6570++XoVKIUoZagITMpUmTsJIp9T3Pp8gWWPUdeluvG4CIPiBREao8bAEnTS4n\n", "0QHJ/v5+730IXdfV+hG1p4iLCm41loWFhRiPx70X8vFsAm5xpAAR4TMS5AyreaHHmxlfzaWH9AV+\n", "ZmZmKiC5e/du3LlzJ7a3t2N9fb2mVvb29uo6ayxaRxYd61k8Bl5gZHt7O7a3t+sR+3qXEL3CiKtX\n", "EWi9uT2PgESGo6U0fV253plRZwjZlYeDhkw4M4XioMiP0c8UnffTowGtz32c3m5m4N3QPg09rR7h\n", "WnnaQn1mZEieLufZQbuvG6OuQ3PMfgyBEgeQei7l/ejoqLfV19NFNI4qfJUe4thmZ2d7NT+cJ58r\n", "9WHIuPF3a7zZdT6nnqbx+rP19fXerkXNC+fJC6uZylKaRpsNlLrhkRIR/bOd2F/fOs0598LXzMhy\n", "3I8DTHifz7Pze6Y7Mt7L2siAjj8/66cD8SEwMtRX79skPXKTCMlpRPwHXdf9TCllNSJ+qpTyAxHx\n", "JyLiB7qu+7pSyp+PiC+//ElJE8maAiFnX3ClPrquq6kbCZ8bvcyYUhBYCMZJUxsR0fOqPcdIA04D\n", "eXx8HHt7e9F1Xe9FbgIb3E0ikCLhOT8/r2kfP5OAIEx/s4iNyijztN0YukF3hvKxcj4l3Hfu3Imd\n", "nZ2aqtna2qqHldFQa56Pj4+vKSxGMhQZUXRkc3Ozght6My5ASuEcHBzU69RX7fARwxMYELS54XIj\n", "Q+FrGfpsLlsghMbAFbcrBgprtk4tpZelVFw2vJ9ZX71/bhCfkp5aj2RzSnlpGYJWpET3COg7GCGw\n", "0BxQ5lpghGC+BWQk1yzqd4PgQIX1ENJrdB6GAAn1y+npaXUYMr7N+GQSv2j85Dse165XSMgB2djY\n", "qE6Nxqm1jOifrs3ocCmlOnosYlV0RLt05NhkZ8lwnUej0TX9mBnjjA91fTYHLf3hcp+BnBYI8dqp\n", "VnTL+ziJJoGRFiBxgDSUosnATEYTAUnXdR+KiA9d/r1fSvn5iHglIr4gIj7n8rJvjYi/G4kiYZWy\n", "AMloNIrxeNzLjyqloe8VuSCYiLgKbcuDduOiCZFnf35+8R4bhlrpNYjB6VUL2GQLrXtPT0/j4cOH\n", "cXBwEOvr6xUgSVDm5uZq1bzGqO+6ruudvMiCNDKezvA4OjqqZ3qoHoVoP2N2V0pUsmImzhvBl4p7\n", "19fXa5rm7t27sbOzExsbG7GxsXHt5XasF9EprEpP8eVU8/PzvRQNd+pI4YsPpDAIegQEpagVynbD\n", "W0q5Fk3iWrrydKPiwsm5dZTfUup6rheGch3YJtNa+s5BEsmVSDY2N4beT657Zsg1j08LSJ5Wj6jf\n", "HmVQWtAdFPLO0Dx4BIGAj6BAKRFe43PpczikxAksjo6Orq0Zi0A1FukSAgzqMY8CcHzcnUMj63ox\n", "AyTsN8EYiWNlRIcFrIyIMpohUtt0Oqm7BNwEOnx3Hk90ZtqX86+5IG94sayDUclhtt4au8/BkGPD\n", "e7I5HjL0HsG8CfC4CXjyvrvcODAb6qP3z+dniB6rhqSU8mpEvDsifiwi7nVd9+HLrz4cEfca9/QU\n", "gYRQx7FT6BiG1PHg2VHufEEdQQ1BBVMwXXd1pLr6oUkjo8tzELkR4f3a9SOhkcJQ0ZZChrxfBlQR\n", "Es6FxqD2u+7iMDb9eJEsF51GyUEJlYyvi49L/6sOR2mae/fu1doReSKllAqO6Hnph4W+AocqXtve\n", "3q5gRIpJ/aDX68a467oKSPh+CwFQByQCMb7uHDMFjv+3wIjPlwumR6+oWP25Pu8ERhTk1vploIrA\n", "0yOHTu6FOq+wjbcgQsK+vxqPqUci+vVQjJAo0kCD2FKw7mEKVMtTpuKlYeKPvPiWF9jyLp0k/5nR\n", "ki7RGSVqn4WcigBLf6pvbjxlhBkJ1uc+J5mB47xngIXzxR2LWeE6I6LSkwR6dMpoD6Q7mabhj44P\n", "YGGsA0z1myk+rbtHSTIwyfmgkc+M7hAwbRnlSWAkM/bZevjnHHvr2Q483CmjDm710VOorkveUkBS\n", "LsKs3xURf7bruj0z0F0pJYVpu7u79W8dfEXGk4egtAaNchYpofcsj9KBiIw+lZZqOJiPdOXdYr4M\n", "6eo7pW8ODg56b4fUtjN6/Yzu0GjL0+OWYxoCCre8pMPDw3QbLxmHn7G/l+uZjmthYaEWne3s7MS9\n", "e/fi7t27sb29HRsbG3V7rYCHXpang+i0Hqx+Z45XEZbNzc06HhbEsjCPBkF8oQPXHj16VFNAVC40\n", "zvQOM0EmWMkK2CiALkxuHD3lRv7Lnqc2XLipTAgmpFw9EsR26F1nBZUeNVOtDvsNeY/3v//98f73\n", "v/9GiuSm9KR6JCJif3+//q1TgQlKNBfcIeEyzrRLJg+cXxooByV6Vissn4W6sx/qQT1nNLpIQaoo\n", "n7VYem62nhmvUqdGRE1PUVacWoAk+w7r2nPKFhYWekBEEVHtpNOJ11pDN2guA4ouK/2j4lUBkewU\n", "b++ryy/lVsCu5cC15ki6x0GKOzqT5vcmQMRBYwtATgIg5JFJIDrTewR1WerUefFnfuZnbqxHbgRI\n", "SilzcaFEvq3ruu++/PjDpZQXu677UCnlpYj4SHbv+vp6nWimLzQ4hfkZDaEhFdMeHh5W5UlhjLgy\n", "CppMvl3WjYKMJu/PCtCGPB9dp+ceHx/H/v5+zM7O1i1tig7wsDcCEp1gqjZ4giC3H3OrHA+NY6pE\n", "DEuGcQHRd8y1M28tRavw6tbWVuzs7MTdu3fj7t27Neer6xTZISARsPD2pJju3LlToyw6v8QjKz7v\n", "blg1dikShdJbEQEKjdrMwAGNOHnAPQ1X9uJhL0im0Xej4RENVzqMplAeMtDsXohvV8zap1LROmqO\n", "6BV9yqd8Srz73e+u/f3Wb/3WTMRvTE+jRyIi1tbW6t+aF9YIcK26rn9SrUd5Wspc17E9lxGlAzKH\n", "JlPunFO1x3UkENQ1igTQecn673xD/srIt7QO6T3/m/MrInjnzhcvYBUgkewrTS7KPGyuh2pRlJ5Z\n", "W1uru2l4TLzLt4MEH0tWOJsBkpZhV9/5vTt6rfvZl8xZyqKuNwFLQ313wMp+tvjW++4REdpZRrVE\n", "7373u+M973lPbetbvuVbmn29yS6bEhF/LSJ+ruu6/wZffU9E/LGI+NrL39+d3J4qCqZdNCDuxXd0\n", "Ka9HxoeGNeIqtMzFonejansZMCFu5hq1UO4JqS98+yTzkxoDi3VlnF2gdZ3eent4eFjbl0E+Ojqq\n", "z1KbnhahsFKoKYwZ4zpI4d8qENvY2Ii7d+/GCy+8EC+88EJsbm7WQ4tGo1EFkAcHB3XrsvL3LNDT\n", "XLGAVWkaRVk4d1TK6qsMLJWoK95SrmpLeIZDy2vQ9fIUPYzNa91g0dt0wMHr+SM+zhRPJitaV18z\n", "7x8NpCsTKhmPDlEBc/s9gVBLMT0NPa0eceJ8akz+neaK+oT3Ze2gv/V7/c85J+jxZ2geM8UfcT0a\n", "5w5OFm0jP7WcGxkE110cX+bFcrycQ//tfM1xeQGrXivByMja2lo90l1rwQiXb+2Vg6ZaFJ4zwrb8\n", "iHnXgZl8ZPyTGdaIvGbMjW4mo9l8Zn87CPG0b6ZXsmc6UcfzM65d64cyz+dlIMSdMJ+DrM0W3SRC\n", "8tkR8aUR8bOllJ++/Ox9EfE1EfGdpZQ/GZfb9VqTQqISlzFi2F4AQtEUTYQYlCFMfUdgoL897C9j\n", "JY9KJ49SuSjVoGupoBWGFFOTIV05KH1B77jrunrN4eFhPHjwIPb29nrREKVnZMyZ3tG86Z04FBYq\n", "nkxpZOSMurS0VAtYX3zxxbh3715N00jwI6L2f29vLw4ODmI8HlfPmue3yHPZ2NioW3pVMyKFLCWg\n", "w8/0Q8Dh8yOmZzTg7Oyspv0UuiX/uTDwDBoXPPcgfJ607gxZerTF+V/Kl9e5l+keFp+Xfa7xtzxw\n", "D9NT6al+KzuJ1ZU3owxPSU+lR7I+OJBogUEaZ8mufrtB4LOoiDkvrjOGQtxqi86D94m85sCBgJfE\n", "6JacIOlFT9kRlPCldJkxyxxIn1vOicbGtLIKWF3uV1dXqyxT/7PuTO3yuARuGVZkRE6SA0QH/W5k\n", "ff1ac86os+uHIYcjowzcOQ9nPw5MnF+d3Ml0GzAERDxKkvFlBt6yLASflz1niG6yy+aHIqLVyr8w\n", "6X4umEiDY5U8jX9Efysu0wBcnMv+9epK9ExHuDy8TAwvpUCPxpVxKf1XWnNCeY3GxSiGI0X1VRGG\n", "3d3dGg3hc2WEGT1QezIk+l9tc648XMm/nUEk9Gtra7GzsxMvvvhivPTSS3Hv3r0q+AIjqt/Y29ur\n", "ER4V2DJnr1TN8vJyPWNka2ur5n0zlE3For6xgE/gg3xF8Hl8fFzrhDzkTgBJ7zIieqcEu0Bln3Gt\n", "XUlk97SMVCYn/K1nuEJp8agrE/Ib05wCgIy6qW1XSp7Cehp6Wj2iPmbrw8gG5z0z/IymitdagGSo\n", "Td1Dw5+F6DOl7xEMm6fUODmPaV0FSKQXxP8OSHSfQAx36VBXDQGQjK8ZHckKWLmjhoeVCRzx7cWM\n", "jmie9aI8be3VYYxyktQPB1m+lpwTOpUtUEKnl33OdALtR8shdCAztN4EVVmEZIgyUOLf3/SHY/a5\n", "ISDJIiOZzL1VEZKnIoIMKggazogro0KETMNEJpUh5TOkbHWPe68EFm5UyJSe7sgmVqQoivpFw8n+\n", "dl3XK1iNiFpQqN8eInfwpX4x509Q4ijex+HjEfCRArl792689NJL8fLLL9cdNYxKSHHs7u7G7u5u\n", "fVmghJZRKAEc1aIod6xTWJWKYs2JC4/Wq5Sr9wIRkEREbYe1KB5t4fy0vBAW+jlveCrJ55yKLVsv\n", "kfMiAWTmacnYcV7Ev55myoye+k4DRGVCsK62CUIckExShM+DnMcj+hEkfadruf40zu7REsA70Ofz\n", "2JbIa48yL9h1RwYWMtDRAiSZt6r0m3RJKwLjhZxZWshBiP/N8fhumo2Njdja2qrvu1JkhAWserZS\n", "TUzZ0vnTbj/uplEBq5w4N9ZZP8nbdHw8YknDqz62gGsmyxnYcL5yvcD7MhBCHppkzNWeOzEtoDAE\n", "GDgfsq0eFcl0nbfZSk+26JkDEi2WC6UGS9LA/Qh3DopnNfgiMsrCiSJjajdPRPTCc5PCbq7waYjY\n", "NxoMr8inURUQ0XeZR+oonAxCYdJ9+ixTYhnzaRfM9vZ23L17N15++eV46aWXakRDjMcXA+7t7cXe\n", "3l4FI+fnV8XIWTGbdtXwnTddd/V+H43dhYifZRGSrrtKgfHwu+Pj4944HZx4eJFz6d6zzzPvZxEd\n", "eTELX2Zgl+vF9VcbLW88S2dyjdmGQuF8q6zLHJ/jO7zE0y1w+7yJc83f5HU6P4xSkH8cVGTGbKgP\n", "utd1kytzrrXmWP8zskqD5/e3gAIBCVM3OqHa+ymio+bpiWweHIypPY3dUzWSe53mrJ15mgMHI9Ij\n", "XoemlK+DEe3M01zSacjW0A2j6hCp87M5ZfTQec+fwQhJBiZoo7Kiz0nr7X0gTQIgfr/rRP8/02cE\n", "sJ5K5Pxl/OFg59YBiaNBIksqVi2SjMx4PL5mxAlmqOS5iES/ClU7OtbzNTma3KyQ7Pz8vN7nb910\n", "YMOjqtUeCwb9uT437qlwIYdQNmtVhvLDak/1M9r5oiJWeTUrKyu1XkdAZH9/vxaySomUcvWOjfn5\n", "+d6pidqVs7y8XAuV5ZkrzTMJAGpeaDCdodmG1pxREqaSXNhbyj7jMf6tmpnW2mW8GhGV39mnTBlw\n", "DjJe4XcO9KVAWGA9Ho+bXkwWPXg7R0i8H674I67mgPfpWukH3ptFXrLxTgL4mZEREZB4hCQDBAQM\n", "+smMRxb98O98fFkkLwMk2RxozH4mCLf38nwhRUbOz69SNAIi3DWp+VEKe3l5uaZqBER06BmjgK0o\n", "Evkl43dfr2x+WJPooC6LkLTI9Yj3k8/lZ9nc6zv97c92sM37svFnIET9ITBj0THrmhyEZABkSMc5\n", "3Qogce+P3n/XXRx+pe94tDyVo0cD3OAzvyUmplfLe7KwlCsnRQCYamG/FfbX+CSAOl+A0ZrM8Ggs\n", "ZFgeCqd+tBiaQkRB4pzIQKtiXVt7dfCZilhVGHp+fh7j8Tj29/drEatCrBFXJ7qy6EyFZzpATUpE\n", "gISpmha54aHn5OOlYGgtFHmKiB6QcYXPKJfa9eu4vgR+qqvRfR65klAycuceugOSbB4yI+zXEJCc\n", "n5/3dkHphF+CcsqfgyOPkLDdtytloMQVZSYzQ+0NGWU3cpMiJOoHAQnlWt9nBtGjGIx6+DM9otea\n", "pwxsu77LfqhDFMX2yIiiomtra9VR0bo4IJGuZcSWbwMWGFEdidI43q+bgpHMWLpOdsDGQlvOI+1Y\n", "CyS35tt5dAgIun7LQAnJeYrtZHPg/SYY9kMuZU/Vp4wXJ4GRWwckEdcXhgNwho+4qifhAFzYdK+H\n", "wdS2fy5QoR9NLEPiGfKVAGpLGwuwGNLy8Kl22yjdQEFmQa0rzIx5/XsnCqT678ZOgExpmq2trXok\n", "vA4+kxIppdToyOHhYTVuh4eH1Sh7uJZARJXwOrwq4sprlVfkUR4nN8RMaUgJcH1Yb5FFNVw4WwLS\n", "UsYyDOwbvyPg1DUtQRwSVl7bAi7ZtTRg4/G4rplSNaxfIk94nYrP/9Aa3SZlRoJ/c61aa+9GWL9b\n", "Rk7E+Rsydn6diJEnzr2DEXqmOvKdKaksP9/SE61xtoxhZuAZxVA6JQMjlP1Srur7mKZhYb6DEUVE\n", "BEZ0TABT0y7fGRDj3LbWLOMRroX679+p3z5HLaPbmtchvmvJnjsqBCmaH7/Ox+995TM9MsJUjQOk\n", "VnQ1i8C8LQCJFjQDExH9bcD0xrhzRh55ZnxYoMcFIVjRdcyTc5stw7gEDppkRgB09oaUHgVL9Ra7\n", "u7s1QjA7O1u3qCkUydAjw48iKVOGDbOQamu++bfaVyW8UjWqGVF0RIcVdV1X36Gzu7tbd9Ooil9z\n", "p7bkzayvr/de/y2PRuvH3Ueu7CkU/n+WaiCv8D05ntJxICFiCsgPEsue67yhaxnCZGTEeTwbG9uj\n", "MPu86Du1zdC/2tLzFQY/ODiIg4ODODo6usYHmVLw+Xdg6/2+LXKnISMaZQ+7ix88FXXTnwxYZhEl\n", "T3ux9snXmn1WfyOiF0nQuno0Szzsu2o0Ls6b/34SMCI501kjStOo5oynsCqaKR2pFKLvqFG72jnj\n", "YGRhYaG3u5Hy5lHSTH9kBtGjf0NgMpMFn1e24fzR4tGbrEfrPv+M4/YoGn9zfByDZxscCHMnTeYQ\n", "DYGQSXPh9NwiJNyNwUnPwlj6X8wbET0AwXC4R0c8FE9QIkOq9sTsqv7mwvE5LNrquq6+5VfCxn6P\n", "x+MYjUY1faF99DzBUMY6q7aXEKnvygn7fE4CJPwtxaUoz8bGRty7dy9efvnlWj+iWg+N4eHDh/Hw\n", "4cPY29vrARLteNG4qJw0Zr1TYm5urq4hd3pQkbhnR0SvsbbGyYgT55PEFJyepVRTpsxd0bli1jM9\n", "pK7r/PmZR0RB5v8ZACGY8B0d7K+2ZDOadXp6WufGlfAQ70T0C/Em3fe8iH1qKX6XH8o/06oeGfI1\n", "co+VIXpPvWUghGBExtm9VI+q0fCxUFWAxAtz2T7P1OEcZGAkG2cGRtSOxuWHn2WARFFW7qjxuhHp\n", "TPWfkVbVpChN47vKPJ01yYBn8uXrkK2h85QDU/Kdt+e86f9na0C9MylKwudyrSP6Rxy4bPi4yA+c\n", "U0/VcJ7ZRmvesh/ve4ueOSDJzsyIuAIpRPvycgkoNGFSJrqe77HxgfNodRIVjJ5JBSKmUiEnQ5Ty\n", "xCkY7jl13dVR+AcHB/Hmm2/G4uJirK2t1T7LkCti4uF+elPed/4WOYO7kFCJbG9vx507d+Kd73xn\n", "3d6rI9zPz89riF/njOiANxUIUimpDsXrRaTwffcLc+EtoeZvjoHK3c/NaHmjLpj0pKjEvU7HQYF7\n", "S17TMxQy1jXZeKlA3NPSNe7J61rltSVDmmN5oDS44l0HXj539LI8DJt5PLdJLQXn/dWaedE3i8/Z\n", "BkFCBkr4445VRL9wNVtTdzyYmmF/9Tl3zhwdHfUivALWDsbZjqgFOHxOXUdT9rTzxQ8+UxGrIiOq\n", "rZJhExjhIXziOQIR1otIN2aRrJtGijmGoR+tTwtMilopoZs8g/qEa9L6e9KYvA++bh4h8T76c5wX\n", "s80dHIfbTLbrfztNGtszBySsdhdlBp3GjhPEPCM9SvdatAg+mdlzdZ8raQn3wcFBBQsCJBT8iL6B\n", "Y/uPHl28BXh/f7/uPFGRJbezKTpDA0Nj5MpR7fN/B3giGh0J/crKSrzwwgvxyiuvxDve8Y54+eWX\n", "Y2dn59ox9ePxOHZ3d2Nvb+/aibNaI4VY5SUJkBCw8UA3ejWegsl+i1wAPDqQGU+vJcnWSuPI0jUO\n", "RjiX3m8qSU8LZZSNT7+zOWl5NAyh+tZepTnpeaouiM9tKWcf89sNjIiyuczG43UA+lvpvQzAZPJG\n", "PSSQk6WivTaMytujcNzqSoOlNZYxFyDhKc6llB6oJi9n/W/pEPU7AyMRV+Cd75LRdl6BEQckhtru\n", "CAAAIABJREFUTLnzfBR3bHgKKwGJUtoZ+KcOvwkoyUCD+qC5cpBOUEIA2tJdGd+1vnMeaK3V4wCT\n", "TD4znepglXNJMMINIa43XRe77szA1+PQc6khyRCUfy5DNz8/X708Kl4OnsVSbJPKI2NYKXAHLBJu\n", "KfHV1dVaBT4ajWqtBFM8DJc6SFItyf7+fuzv7/fe98I3Autk0SEjnaUOfB7d26OA6ZAybe996aWX\n", "4u7du3V7b8RViFhFrAoTE4joRx6S3t6rrb16K3MrleEKUERg6QItxm6FBDNvn7uo9Nu91iws6310\n", "4KOx8ToH1j42J+d78g1/txSbDCELqf3obfXRo0DeD43RlVT2/Enjet7kuoR/Twq387Ms5JxFEhyY\n", "iK+y9KO3xxOexVO+jVe1Wa7DeF7H0dFR1RdqJ4v0yXCShsAIv+c86of6KntZnupGlJaO6J9YzciI\n", "gDI3CehHtXXUsZkBvamhzuQnSyno+yzaSn4gIBVl7bXk1yM9BIAtnnsSykAl/6aT5ukv7qShg5WB\n", "NdfJ/pxMf9xEhzxzQMITVznJHo6jcPGNro6MR6NRTyh1f0vQKJwCBSzKlHAwHLqxsdHrx+zsbK2N\n", "UMV3dsAa+6GX6PEldBHRe/bi4mIcHR31GMOBhtfIRFwvzmoJViklVlZW6pHwKmDd3NysBwxJYUjp\n", "+bZcgi+9LE/bg/0URh5U5sZOipJ9JXj0cXA8Wu8WMNEPkTvnzusFqPjd0NBYs0/0hqlIWsrcn+Nr\n", "58qI4+V3nJtM0XueV3336F8LZLCPrc9pTG+ThgxnJg+TIgWsx2gZg8xYRORvpyUokT5xh6rrrnYx\n", "qJ+sZXJDwbSHZIup66FoXwaqfHxOnMuZmZleSkVAhO+o0Uvu6Aj4gYU05oo0KzLCM0Z03IBHRrL1\n", "8D5TxlrjcR6ZxEMEJFx3tetttZ7NtqlrSC0enWTEs3aye1zXeWTEnUg6R1nkKBu767ihv1v0zAGJ\n", "GJUGKOIqbKfJJyChMSYgKeXqfBEap4jroCQDKUJ9eu/JyclJzXm6N7O0tFSVQUTUdzEov6n7Sik1\n", "okNvWYVbPA+CbzTma7PVN/eyMqOqZ/I6jVdgi4yzuroaOzs79f00L7zwQqyvr9fTE1XvQUAiJUIj\n", "LyWil+UJjCwtLdW+qC0WU6q/Uso0/ASaQ0zthrWlVGiItdZKu1EQOGfkFY/EqT322ZUjecwBhcbo\n", "43GDT+HnHDgIkjETaOTBUgQunAfu4nEg5MrB+YyAZJIieZ40yZD4/LsidkfF590p0yWehmSUU/NP\n", "fqFBEphU2610ix8lQNnSOBmppZy4gXMwwn75vBLk+PZevrVbL95cXFysc8I+E5Cor769l6marDA9\n", "A1S+9uLlbEw+rgwgZN9PAhpa5xZYz3R1pgucvzLH+q0i8T3BBwFJloJ0feJOIcfOufX//bsWPXNA\n", "woNvIvq7EBR9oHdwdHRUjYg8eCptTioH6CkanywtshA8zwnhmQWccBYEygvgFjWGYHUMOseoz/V2\n", "XG0DHo2u0kCMLjhDtJjTx6nPKPA6WOjFF1/s1Ywo+iMvhodn+TtONL8Kry4vL9eaEe2kEUhk/QI9\n", "RPXNBZDzzbWVgh6NRlVIMg90iLFpfHwsEdErVvO+uaLjnHj7mQLJhM4V6dBa8nuOXV61Cle9+n1I\n", "+IcUNI2ggxVXzrdNLguTjAeBiP9245/dN2QgyGOMUkl3RcQ1xa1nEjScn59fqw2hcRUwoYGX3pSc\n", "sehess21zGoVNH/kfwIc1R5xN42fwso3a3v0znWJfri1l++m8ZoRXxfX9S0Z4/V+b/aTyZ3PE9uR\n", "bqehzhwk9oEAxvve4kEfQ4tavOm/aTez6F6rbGBSRMnnuEVvG0DiqJCMoMXR0eJiZhlXMbkjfE0o\n", "vRAJrofUSrnyUnUdj6dfWlrqhRS5ACq8krAzUrC0tFTb5DtpfHxK3ezv79eXRTGHKkDic6L2nFxR\n", "aa7Ub3k1esHVK6+8Eq+88kq89NJL1atRvYiOFdeL8vx8ACkneUkCI3xRXkTUmhkBO4ERnqrokRH9\n", "z2gFIxQKd3tI3Ne2Jdz0gl2J+PUiN3BuyLhGruh5v69Xy+PxuREP8nP+sEiw5c20FEX2wzl0vsuu\n", "vW0aAl5ZBEi/OZc+xw46WjzEPug3oyRZ6oZRKskTx6B7uVtGxP56rRDPUlEKmIX3Oh2a7bD/zrP8\n", "W2mV7IV5Q2/vZWSEtQgRV8co8GV5TNfoO+ryllHX3z4m/nZQQBCYgYaWzLZAAnnuJmkb9jmT0SFQ\n", "8jjkvOs/zqcORpwvWhGjTMd4P4Z00BA9lwiJOsXFi7iukJmmcWXgAyFC9VCsv8+BuTtffHmdzMNq\n", "QrO0kICKzuw4Pz+PhYWFKohqgzlgpUMUEs9OJHTjo7nT3wRV/M15UOHZ5uZm7Ozs1DNGlGJRnzVm\n", "RUZ8W15E9DyvlZWV+pI85YyVFmHIT/0hQOK8OTDJAEm2xpM8EN4vZax+6TsCHfbTUxqcW+/HkMDz\n", "85bQ+fgnKRBumWb1u+7z9JDL2CRFMORVepuTFMnzpqHxteZ1qK3svpaizkAaHSUqevKNSGtE4K4o\n", "ib5TO64rufbcgq/i0MXFxap3CJh8fD52RlsUYWURq5wZ7qaRxy8A4nUj7KciLl43km3vba2zr282\n", "LxwTx+YOp34ywDmJZ1wvPUkUYZIu8ef5mL3P/rc7ThlvZpGRIaDfAnQ+tiG6dUDSyknRKxSAYN6f\n", "ea0MxbPmhMU4EgwWqXJBJeT6/tGjR3FwcNAzUHpOxFUhLA2NAxI9n8c7E5AwZ6z34QiQ6CwPtkM0\n", "2xIYnwedoCgwomPheSR813UVhOi3lAgVCSvh/V0VKysrve3K2o3DtWFhWoakMyNHoZAQKW2mefSQ\n", "rs8JjbV7hhHRy1F7XpSKgtEb/y7LtbIP6nfmNTgYowKighCg5XZJKvmsbxkwyZQE+XjIWya58b0t\n", "ysDe44ARn6NMsVKBEyTr2Q78qF94b+tAw4grnSgeFBhRkf1oNKprHtFPMer5jNZGRI3EjsfjmkIl\n", "qHHgrLZkqNkPHXxGMLK1tVVTteqn5MELrbk7T3qEoMmLWIccgUxXEOgx2pXxhvPOEHggv2QRSK1Z\n", "ZrSdHzL5y/ghc76zMdCGZcDSP3PQkUWbJ8lFNhaXmUyGhuhtAUhKuQp/q1NkAhk0higFSLIJkdFz\n", "lKtJd0F2xpDwybDq5WOsGRGjqz2d5dB1XRUyLn7XXRWy6jOF1sUEekZE1EIx7cDJ8sRDhk9zQq9G\n", "L8y7e/du7Ozs1Lf3akeNthAqTaPTVxlm1Vwp9aMcsn50wilPYOW8+qmRnHseapYpSTf++p9brVuG\n", "kWAhE1jd52H0oZCr5peAtBXNyLwbtuneLYEXFSA/Z+EqTyyWomcUyhXfJKWY9dW/v4mCuQ2aBChu\n", "siZZG7zfo5W8v+UZ6z6vm9Pn0kdsl5EOAm85N9I3buykw9Sn09PTWhyqA9Uk265/fW3ZHl+T4dER\n", "tc/DKxkZkR7Rc1jTxl01OkJBuiIDS1yrTC9In/Ke1vh4XyYbvv404OQvRrta7WSgxMflvNbiVc6D\n", "A23/2//PQIiDEZ+TFtB6WjDSGldGz2WXjac+Iq4MQ8R1JSBDkBkfCbAYWcLgNRAEOtwpMhpdFZQq\n", "vCnvU7UVDJvK4OrwL55NQsOgwlSObzQa9c4vUdhydnY2Njc3e8BJz9NYnHHcw6aXv7y8HBsbG3H3\n", "7t26vVcejYCU0jR6Yy+3EUqJCFBoB5AiIyxik3LzsLRHrShE9C5oQKU46PlnTM41z/iCkQl+5m2K\n", "J/w5mbcr3pVxyPiUnrQbKj1bf/PaVgidkTXyJceieR4yqpM+aykPAi7ODfvw0URu3EQO6Bw4Upln\n", "EV61kZ0BQmDCMx34LJdtOQBK2bBvXdf16kNUuCrnSdefnp72zvGgU9Ai6dmsZkRgxNM06r9+fAu6\n", "xqMx8RUTfpaTAzbvW8sQuqyrjSEepZ4aAiMZGPV1dxnJQGrLyeFzHIhkUYvW9RmIc1sxqVZkKAIy\n", "BNwfB4zc9DrRMwck7omKJNAeRpLR5ZZgN8hSAkLnDG1T2etvPZvnfyh/KeNPQKJFkgFXH+llK2wp\n", "4VJ/OL5SSm+rsJ4fEbG5uVnbknekc0vUF09XUdilTGZmZnpv77137168+OKL9SV3Khh2QMICNO5q\n", "yt7kyVBtdrQwAYmUIcFlxLCCaQmw1p1Ah9ErGtAWKGkZG80f55K7grQ2qpVhG3yeGz3nc31GXm7N\n", "DfmWJ91mgCfzZDIe8We4R8+54vh8HVoh5edNQ4DqJvdGXD+nxXnPPUuRg01G21oGlgDYPXqukXjP\n", "2zw/7+/C8ZoT8e3JyUl1eHQdo3si8gdlVk4aAQnPGtKuQgJ76l/NF8egPvLFeTwW3mXK14lzRBni\n", "36QhUNIyun4vnQYHImzL+0fZ8kgMeegm4ML7RZ5qgRH/znk401WZ7vUxPw0Y8WfdhJ45IKGxosDT\n", "qDCU6d6ZE4VNuUqSmIm1IiJ57iwspRehNAsLthRNoPA7KFAaRnnVrutqbpc5Ux49z7boUWXV+j6f\n", "3KWzvLxc60bu3LlTq+AFuCKiRo+0m8aLUKmcVMSqHTWqpvcIjtJR3j9X7BqfnsGdBAQV+l9jLKVf\n", "SZ95LHqOIllS6lo7jy7Q8yH/OWCmwGehT4+OqP3McHsON8vfimfFA36SMBWdK7tMWfjf5B16eE4e\n", "ifFozG0TZfVxlKLfk6XtRG4kXJETsHlU0HWJR0EIBLvuqsYiMxSZoeP3Do4EVDxa42vHOeAhZXRA\n", "FBmR/CuqS90qPs0iI2qXkWgBEa/rcwPr42tFGnw+6LB6lMFB2E0iJNIhvmaZ7AyBkoyvXH9kICMD\n", "Jq3rnFeH9E2Lz1q6ZCh6wjl2GuK9IXougIRerRbZi0vlDWjbrwZABlKUg2kgChgLW7UIaleehp6r\n", "LWhqRxEJGTaehXF8fBz7+/sRETXS4QeQMZx5dnZWAYy2uAmQEN1rvKrn0I+/HJCLz1yv6jv00jzt\n", "pllZWfn/qXt3GMmW7Uxv7azuer8fp++5vMBAji6BMQgIvI5AgTJoDSRawngCIYwrQYIgYaiRLUBD\n", "ZySPBAQIA0HGDGQQNOSMM+PyUhBkSDi8l8J5dffp6nplVWbWo7sqt4w+f9S3/1qxM/uc09WtABL5\n", "2jt2xIoVa/3rERGdcAOX9zKsJZpGdK0agRy6atu27Rz25efvZMCQ401F4MpcY+bWJK0LhjBEQ7Vd\n", "YyR+o4XAyZ1ZGM5jLLo+y+3J6skUWOY6VaGwY4Kwe0VqAi/zBrkVzmexjzXBVkv6zYyDxy7vIxB5\n", "vT6rH1meU8RDa5Qg2HlIdYpGDkhcMfhzRGvu41FTev7d+xTR3e3VQ3pOE9GAOSM6DkIJrFxRp9AQ\n", "c804H5jrp3rpifZQDRU86ez8nnkcaMS4LKWR0cc3GR/5XPD2ZGCg9gwHkF5v9qqNe/aZ9WVgJAvR\n", "ZMAgexHkzqJZBuh+bHm0s2ykXEhAhUEyRMn7OdGYdJoRUyieA6R6fJ+T5eXlTnv0v/bY0OAo3NG2\n", "bdm3ZGlpKabTaQFC2RLYzOp2plSYyDe8cm+APisuq62cBUaUwKqzZahMdUYNj/52xSagpQO0BEYU\n", "8pF3RLu6SiDUxi0rXEEQ8fAETYZc2Gfyi9rOot8Z5uP1+p4J9ky5eR1ZmIoT3pWQ98mtFZ/I4gN5\n", "nbxt5He2vRYCYPG+ZeDRSwZG5h3jD1lqrmWVrF9UXuyX0zSzIjOAIEBNAOgggPzjyeL6vW3bNCyd\n", "beMtOcnfax7DWR4FenUYppF3RC8dlaHQNPvD1TRqi+jJsK8fJOorampKc5YSJChx8J+Vml7xQvlM\n", "T6I/L5MhWbu9zsxbSj1FXqjxdgZUa8/oA7KU/TXe8d9qfc3a7Dw4r/x4lFU27h73CSvCMVYf8TDG\n", "Ss+EK4+acqEQUMxTeSOOgBWeWV1djYju5I2IMhm5vb2UvpQ9Y6lN05RleG3bxsbGRuzv7xfhwjYJ\n", "KM3qh5bibm9vlyRWekbkIp1MJp1zdJgJrzGgwmFC2/r6ekna1fhQCLkl4oxL4U/Xq1s6PslqTCve\n", "oHeLk9r5ivzAwnZmngZawwzTzAIkDpAyaypzuyvUxF1Xax4RV3b8j6EdrlrIwE/tN1qpbPunAERY\n", "Mpqw1LxXHGvxZsaLWWF9tbi810XFQw9CZtGq3QQw5Anlp0nRK/yhOSpecnDj/VK/VQ+3HVCoRsn7\n", "PJ9GQCnzjKjvqpeeEQ/TePuchrPGnZ+9X6rX9YLPwxr9OQaaUzVglCnbjBf5LILJvmTTDHh4nf6e\n", "ARGnnbc3C13pd+9TX9/nGav3kSGPAkhqk5ZKWdfOA0gc1GRCNqIbc9ak8vwHDcJ0+i5f5PLyMjY3\n", "NyPiPs9DFoKUk8IeAiLa14OJiGr/6upquX5vb6+caaPrlJPhIZAaunz69GlJYn327Fn84he/KAms\n", "tGpGo1FJkuWKGi0rZNiLYZqtra0SN6bFRu9SDTB5eK3vdxcG2ZhzjGmJSUAzqdYnYp/gyFzBeo7a\n", "pvZlgjib/AS2NTe0P49eJ/KMryRyuvE6FlnqFLh8Xg3wzqMQPoVSE4zsn7+cPz2swfuy56kQOLgi\n", "qQE8KqCMn5um6cg+8UMGSJggqtfNzU1nhZ5b2RmwzJJYFarhijpuZd/nKRRdGarhaebyjjjozwBB\n", "bQwyfqUe0Yt6gUCd9HAvPXWOftO9bmhkbanxZAZG3PuVgRGXic5XLBm/Z2A0a3MNkPT1sXa9y11/\n", "5vuUR8khUeMoMJkn4YLcCcIVIE3TdAbXCa9r3Z2u4oypNkbch2Ymk0mMRqPiDVheXu7UJybjtuvM\n", "/WAfaLkcHR3F69evY2NjIyKiE8NVjokPMr00CwsLsbW11QnRKPFsfX29bBt9cXERk8mkA5JUyEhM\n", "7lUMWfknytegMGKITXXpnQqcwo+MTyWRebkkVFy5Ewhmv/O7aEY3sgSmA6Ns4mmc+UzSInOFZoKV\n", "AIOCjdc5eBVNZrlRSS8Hf3ymA1wXli5wSQe2NbvuY5UMaFLR11zVBCTuqVMdmQKvgR53v3OOZZ41\n", "gUcHJpw38pj5KbkMMUkOEKTIY9g0Ted/rkxT0XxX4jqBiHJG5HlRGwlCMp6ld0QvGY+km2jkVr7T\n", "uDbuHMtZXoCIeznAcfOx5u+Zt9UVePaq8SM9Idkr82y4Ue7F5c48ICTzzmYveov7rstASzZOtXHp\n", "K48OSLTyYzqddg6ko1LxAecEpGeitk+DklcJeLxkwoeA5Pz8vExk7Vci5pYlozNqfNkxAQkn8tHR\n", "Uezs7MTt7W1sbGyUnA0eVufuRwcO29vbcXBwUA7Ko9u1aZqyFfxoNOokn2bMx83PZCktLy+XMBJp\n", "yIntilK0lBCmYKS1T8DpyyQzntE9BAfiBwpKTnoCnojoCGgqfE4+8QBBiZ6XHWSXWaLkK9ap9roS\n", "0zMcFHsoicqE4N15pCYkfMw51/hcbzOBt0KWn0rx+ZyBhFr/yZM+hu71yujKZ7qy0X3iFypy1kcF\n", "SN7mqb4EwfToiC8EAOhxkOxTvgbnoJ6t/UaYxKrcM09i55zmXKMMyLw3PPuL8iEbx3kU16xrOA94\n", "vXs/HJSIvir0jvDZrov43gf4MzCSeVkJRpx3s746D3rfSKt55ILL8+yevv+oY/vaPk95tKRWfXZr\n", "0RmExJViIdqX9cD9Q/xZJLIDEloknPhiFp2AK2Xth98xhKFdTz2uKnds0zQdIHN6ehqHh4edzce0\n", "5E75HzoXh/RaXFws+R37+/tlia/CK8vLy4U219fXMR6P4+rqqgA+ApuI+63vudxvdXW1ZNNPp9OS\n", "xJsBN05Ep6sApeeP+Hi7cOFk8lBbFiIhaCBIYT8jurvHepscUFEJ9+WNZELA+dYtJwp3F4aZUCPv\n", "83mZ8KiF+WpCpE85ZOM1y2r7mMWtQ6dVxMNwjfMX79X1LkN8DriyYS5cxjsR3SR31kEgovAqlX9m\n", "nEl2qF69Cxz4gXvqd5Y34mBkMBg8AFUKO5MHZWDWvCMEwNmYOK37QAmvZT0ZKPfrs7H2MY+43zOG\n", "bWVfHZRkc9zH1nmhFq7x794Pyhm9Z3LIeb4PjGT0r3lIMnpm4OPHApNH85BE3K8m0KR192rGBApr\n", "cG8Q5W2oUAlJ8Gsi638NqtpwdXUVo9GoPJuxW22OJmbVqZYEGb4E1AcwU3KTySSOj49jdXU1dnd3\n", "y4TmhkTj8Thub2/j8vKy9H9lZSX29vbKLqxcUbO+vh4RUcJGOs+C+R4CVFLa2SZIi4uLxUrTqh+N\n", "wSxFR6XFiSKrjaUP5JAH9JkCg4JZ48wkYypx0Z05A5nVqJJZq7RSXQDUPrftfbKwPAtUOnLfUzmR\n", "f0gX5stwPGsu4z4h78LcAaWelylNtutTKjUFkwn0jGZ+r66lYOZz9L9+07hyFQoBCb2L4kcfq4zv\n", "sk3xmuZ+Q0jJBO2jRO8fz8VRLsd0Oi3X1HJGuBOrAxF9Fg04lzxnhJ4R0ikzRDIFWRtnvft1ztO1\n", "e7PfaRSojru7u+LRdN6hLKmtQHMPaOYdmQVMMlpkhk9mkKvQ0+q0zmhfAzDZd78/A0PenlnjofIo\n", "HhI1hBOUwp7X8iWF7Mms8ky44Ndzbm9vO0iWRGjbtuNJEFPRNa+zZSLuvQluObr14+13QXR3dxfj\n", "8TiOjo5ic3OzHACoVTMSFKPRqPRN/V9dXY29vb34nd/5ndjf34/d3d0OIFEui8DI1dVVeT5djGoj\n", "k9k2Nzdja2ur43EQINFW8byXE1Tf3TXqk4xlHgXg1zlQ1bXMK1EbCTYkXDJQ4opJbZalSqWQuVVr\n", "gkGAhGBC7VTysnia7RYtqIQ0/gwXEazTFZ9N/oy2fYIp4qEVT/p87MI+9oER5zmnGevy62cpNvKM\n", "xrUPkOjehYWF4j1UPWqz5yvVAMnNzU0BJpeXl3F5eVkSScVPHj5RwrTCODyjhoBERp/ktANzhWLF\n", "H9wW3lfVuKwknakoCTBmgRIfTx8z/82Bt493DcRqDtZ4x19ed+Y5y3JwMtmS8S77U2s320p6ECzN\n", "A0iy16x7+T5rHOcxaj44ICHhsnXoEQ+FgwgphS3XpAY2opvsKbehrtHErbnVlPippXTcQj6LpamN\n", "3k4xHJUVBQkZR+26vLyM0WgUw+EwNjc34/b2tjO5dfiUlu9ubGyUTc8EQjY3N2NlZaUIKXpGtMSX\n", "k16AQS7cjY2NsvGZTh/2EFaWdOrjRvRNQU/Ln8p6llJzheMghG2iu1vXOO2dT7IdNaU03H1OpUDB\n", "4sLEwZULY1pGao+EJ+nqglreQO6bQ5qQZn1ChOPngiILXcwzNh+7ZACkD8C6RZtZmxHRUZI+392w\n", "cf7zHCPPJaspDvYpU068j6FizXl5Q6iAFNLRfkSUkQQiWp3HvUYy7wjnO1fpEIzUdmFV39hPpwd/\n", "dxpl/8/iVb+f41kL14r2lCG6171rlEU1MEIg0ucZyca8ZpzxOZlh5++ZsTIvIKldPy+t/f955cej\n", "ABKPo4oRHABosBhiECChktCg+a6AEVG8JxH3hJBAohWssIhOoJQlkbnhaqBEAkJMQab2/kuQDAaD\n", "GI1GcXZ2Fpubm52Yrx/RvbGxEbu7u3FwcFByRiRMlNCm/spi0mof5r0oNrqwsFBAzs7OTqytrXXA\n", "iHYK1bUZIHGvVgb6MuDG705X0pYTLFMqBCSa7Prfw2hqH5NamRzoCuTu7q5zNpKKJyjS05cBp8z6\n", "lXIi/6sfNWEgQKJ+sGQTPKvfx89pTvCUKZDasz5GyYCIW+Dedgck5B/ep2v1mwCuvmfggf/LUOL/\n", "qifzuKj4XMmArt45VzXnFX4VUOAOrJrLDOE4IFldXS20IcjyZe6ij8ANc0aUw0aPdAaqCAD4mfSt\n", "GYGkbfaZtPQxy+ang3HRPTMW3CjKwjU+37NXBkT4UpEeyvrr/J/1nXJgFkDIQJrX11dqwO+HlkdL\n", "n88mWd93Ag4tZ2Vyla6RQl9ZWYmIKLkXLug54Vz4UrApV8WVBJNqHVmz7e4FIKMKKEwmkxgOhyXT\n", "XXFXCZfNzc14+/ZtZ1t4befMs2XkdZHFxLATvReaSNrhlcuMqYwzIep0zProkzOzHPTZaePXOihR\n", "3eIDKnu+3BXKNntmvINKejEojFUoSByQqP/OE6Idr/e+1oSK084tuqzUhAEFfnZ/n/D3uj+FUrOU\n", "a/R0RUQauEJ0haaiMXCloet8jLydNYWYKbVMLvKZNB6urq5ieXm5hHj1rMHgXSK85jI9GX5gXrbX\n", "CMM0nEsMoROUSH4x/FgLn2VeUh8T0iwb+xp9vE6nfZb/wXHt44tMcWeApg+M9HlJMjqxD97fWXIg\n", "o6H/nr38unlL37XvU9+jrbLxyU7COkM4GpW72mOaEfen5cptqclB5SDlSsUjBpMlrOdpa3gyoxTi\n", "yspK3N29O5WX/XOmcsGv/un519fXcXFxEScnJ0VgRLzLV5Gb9enTpyXeu7OzUywbbWvPMJBn5pPu\n", "8g4IjGxtbRXw5rHuzIoU/XgSLt3T+o1jzMneN+akb59VJavMPRMOTDjJ3YrJFAaBontBOKaZWzUD\n", "taqD/ae3LFN4mTDom7iiqfeHJaOjxpNAle3I2uLA8FMqmeWYKUAC0hoPiF8ceKtIXlAZkodVL+cP\n", "x9NlGXPfxC+ZfKRS5PMY/pWHwnNjBN5ldMjzyp1YuVDA80akNCPy8DhX06g/84xHxENQInppHGrK\n", "Nhv3vlIDI+4xpSzqe142P/S/ZMY8YKQWrplVvC01GaLfnBYZbfpAS3af2vG+Bsq81z/KKhtaEJmV\n", "7IBEk5uviHgwYSK6Ow8KkOhZjjzlAldYKCLKd4VMuNqEg6LkUyWjZoJN12YMy0l/fX0d5+fn5Zkb\n", "GxtlMmo/Ei3F1Zk1Cteob0yU9M2U1A5NRC7x3draKlZRBu5c4FLB+v/qm3KDqOxqQIN4ib2MAAAg\n", "AElEQVTjTgDj7tIMkGj8MouG4MGBrVs4vLZPgLhbnnyUCRHdR+WUWVoOXvsASXZdds+secXxcB7t\n", "A0Pko49dXBBmINb7456I2v283mnglrTu9Tnftt3jGAiGqdQl05Q/5uFRbxdlSER0wjY6JoJhbnqO\n", "2/adl0S5afSQcmt4egc1xyS36a0mGPH9RtjWjLaZkUb6ZXyc8eQsBe78TB7WMnrmlBFwZnXV5h37\n", "OiuRdR4wks3hPkWegYbaHM7+75MnswDEvKDkfYHLBwckLqBdIGeI1xmIJ2J6oiFjnVQAEd2kvVqy\n", "qQsLMSjbIxfo2tpayT3Rpmg+OWqAJCKK4r+8vIyLi4viEdGpw1oSqu3fNfEVpllYWCgCQy5b5jwo\n", "E565Napf8WJf2ievg5fMuqa1T/Ch/6j4ZlkcmSeGnimNiepfWlqKiHsvjjZ04/NmWcIOtBgG9PwQ\n", "0sAFB4GZaODjT4DmhVbgLEFXu4b9duHg/9H9S+WWhTA83MXx/9ilT7hliqwvNOKKwgFbrY7MvZ4p\n", "YXe5S75w0zLxvH7zNmb9InhYWFgox1bofoVm9Sw9V3lp3Mo9AyIMedK7qnCywEwtiZVArTY+AkkO\n", "vsSTrqTnVX61IrqI3lw+zdWemTc1U/oZMM0ASAY8ZoGpWvH5Tfpk81XX+X3+ufb+U5Z5AI7Kox2u\n", "V0uS5HcS111rVHx0j3EicWK4tePMQaYiIFG+CkvTNCXkcXt7G2trazEej4tQ4XVE+hkgmU6ncXl5\n", "WdomwCCFu7S0FFtbW7G7u1smvDwcEkBaUSPviF5t2xZ6KbFNW0Rri3nuYpvFibOSCRr2jYqcNJdw\n", "cSHO5+h/vfQ/QxPZmK6srJRwm+rIEs4yCzpbSUBauIKmQBFvZoLXLQwPj5DX/T5vb8ZTNeCT1Ver\n", "i21gn1wJ+Pz5IUL0Q5QayHWAyDFwkKqxIyh3L53X4ePgCjazdDMDy7d7v7u762xcVgtzqnjY5urq\n", "qpPDoZdCMjJqFLIh+KEM9UUD4nOee6NXdnqv2uvKl3SojRnlTwZKfkzhGNKQUE4aV8718Qzb7X3N\n", "kt7dE5KBknn6V5v/DtT8uj4AMAuMZMbRDynztoflUXJIyAwcnOzaprl30XOXVLnrGePXpKRC9vyB\n", "iIcH8GVM17b3mfLMq9ASOlkHt7e3naRQLsfsm4S0TNXuyWQSFxcXxYOhbHmBH7ph27Yte4zoRc+I\n", "2iABoh1Ytc/I+vp6Z8MwJggzt8DbPg9zEkzoHv8tG2t/XqbQ27YtYJHPl9VGfuAGaa5MSHt5mNwz\n", "Mk88t0/Ba6zk4mZoLxPS/pysviyEULOEMsBCSz27t1Z8DD6F0tf2jJb0fmbKngaOQpN8jhtGbqln\n", "9HWgwnoYJvDt3TOrvNZHKlDxMnM7xMfiQwEg7uVEvs9CvgQjXP0ngMPcvgy418bFZWUNlGTK2xVn\n", "jS9rvEAdxHFQ26l/fGdnf6Ynute2BXgfIFIDF5nH1/XNvEp/FhipXe+0nVeOvG/54ICErkRNAlrl\n", "EQ9dSUL0WQKnzlhp27ZsGy63pQb/6dOnnXrFJFz26YLg7u7dYXmyPjThpdz1evv2bWdiSlBpIqtf\n", "bvG7daU48Hg8jpOTk9JuepIYuxeA0aZlBGJ6poORnZ2dsm+Jdmz05DUVn/QO4FhcMKvf+i+ie3Cc\n", "l0xxZv/znbHsiOi4oyVkuV21KySNsXJ4eM5PTUhQIGSWn7eXLl/mPlF41OLGfQqVAttDMVS4NS9B\n", "Rm/nRz6/z0L81Eom6H0MOO/9PoIRhTxl1KgeekIlFwjk9dwaeCTv1s6YmccL43zkHg5a6WyTnqP+\n", "6n73EjJ0xb2RGKrRniWaZw5G+owQ9oH3OkDJFDnpmckf1tnH7xwHgRGvX+DNk/x9DhOQ9K2cyXg0\n", "M2xc3rHN/H+WUTPP3K8V/u88yDb0lWx85i2PAkg4wQhIIvJBULhBu/5RgfNMBaF7KWg9R7sWqm4p\n", "XiY1ucvR19w3zf2+HcrhIAghU1NIRfQnXREk3d7eliV7Wt2TeXWm02nZd0A04Cvifgk0T/Lc2toq\n", "WfVPnz7tLA2mAMoYne3tY2JOTF6viZrlUfgk8d/8Wp+YEdEZA/7mE9l57+7uriyTzqyy7PlUdG5N\n", "8TqCg0yYEbSSfv6Z7R8MBg/yfMhDDpqyMFImlLJxkVX9/ycwonenTwZIIroJyZmHxL0qMjg0F0UX\n", "3ZtZ8Gybt6XPI8L3DJR43wlKMi+fjzXnAHNHKPfUTnlb6B2Rp4X1kaaUWX1j5fImM9x8njngdHDj\n", "z2AhHfSfPECc97qOHiwHsgQbzGd0+vd5R/qMH/JYzWs2j37JfpsHjGT3eKk9+6coj7IPSTZAznAa\n", "AD+tsobE+Z2CmMlWCwvvtmueTCZxe3vbCQFp4vkyt+l0WiaelLvAwsXFRZydncXZ2Vmcn5+XFTdK\n", "hM0sYGcoTSS5UgV4NOGbpok3b97ExcVFJ9Y8mUw6gIT7ZMhdyzCNLBp6pghIKARq4RofQ2dSF0BU\n", "xrxOJaOFgxle6wKGgkm8wnOGmGwnYRIRxRNCi5Cx8myyU9DM8o5kioxWaWbBy31M2vt84NhkVgvp\n", "SEHrfXFaZoouG5cMtHzM4m2szTeOBT0RbplTocgTS7o4L9OL4p6SbIwdpNLYoJeS/Mh7MzDJthDk\n", "0EDyPqtuT+TlCruIh2Ea5bfJGOOcyrwAbGNfqfGvv9wDldGC9fUVp6mH4lgnAYmHfCO64RoP0WR9\n", "qAGSDIBmQOSHGAbZvRn4zT73PS/TA7X32v19ZS5A0jTNQkT8TUQ8b9v2P2yaZjci/kVE/L2I+Coi\n", "/mHbtsPKvQ+EOwfSBYgASbacrDbgVGq8VxuZvX37tpz7oE3FVPfl5WXxujAxUxNS3pG7u7uy5fvp\n", "6WlcXFyUg920OoZtqQ2qAxKdK+OAZDqdlonRtm0HkDCBVRn0PJ9GCazcQE2eAZ2nkgm/WcziClz9\n", "5OqbTGHyPzItc4F8AnHiervUDoXmPJGPgIQWpC/Hi4gHYMx5i2GdrC2ZAqSHIQOqfSCI1hGVWAYq\n", "vM0Z7bJx4fUcJ9bJ8f0py4+VJSwuAzxcx7GQB0n31eQRQbY8JKzDPUcOzknXiO5OsbyWoCTzzkoR\n", "Z0Le+Y1gxBUp+6rP9KhIdukeJrEKkEg2MYQoOs7jWawVNzTEbx4i9Wt5fwZMas91pa9++/+ZJ4vz\n", "jEDWQzR94Cqbq9krAyRZX9wbWutv9jm7tu+3Pple+702X/vKvB6S/zwi/p+I2Pj++59GxL9q2/bP\n", "mqb5x99//9PsxkzYOVIkUzN+Kc+D547oOtYp5lCYhW5aT3Z0rwsnbNO8s7R16JTW8o/H43I43unp\n", "aYxGowIMyOB9Ckvf/YRfnVOzvr5ecj0IIpTfojwZhULoJfDD8paWlorwyCwxTbxM6en/eRjIlWk2\n", "7qSR5zp4PS7wXUgzHs/kOrmZCWQzAVzLbaEwy1ywbAP5iMrBedz5gO9ZqYVJasLCAQgVmc+xWW2Y\n", "JbB+wvKDZck8hUrFgYDP9z7vBhVW27Yd5cS6XLlwbtFzof/Ii9o+wI0EnyOuDMj/zPGgR4NLe7P9\n", "MChLPUzDs7TcM0IAWONxfnZgksmTTBb47zWerd1bu5btcpldAySs20FwDZBk/2Vypw+Y9M1JB2N9\n", "9fJ+ly+1MatdM0ue1No0S4+ozAQkTdP8IiL+QUT8dxHxX37/8x9HxB9+//mfR8S/jh4hwg7WUDW/\n", "S8k+ffo0JpNJjMfjcgKvlFZE92RSWklC82IuV3AcTGZHR7ybnKurq7GzsxMbGxvFAzIcDuPw8DBO\n", "T09jOBzGZDLpMCHdu4znS3iwHczz2NnZif39/bKd89OnTzubneld3g1XyKpLgEQbqKldzL1xMOIM\n", "SOVGa7IP0ffFwlXc6vfx13P1TF5HIUwBxDguBSrDfFI+tEBd6KuPDm4zq1X3MeGRL1p5LvzYdr7X\n", "APas4kDXhapbZvwvq6smhGYJvvcpP1aW9LWFNPPwmcse94boPwck9FCSF8kjWeG9zHPiqpY3b94U\n", "r6fOn6KHwAEJ56A8yQz5rq+vd3ZhreXfsd+cl/SMKISsECjBCHnKgRLGubw7GCFv+j0ZCJu3ZPqk\n", "D9hz/tBg7eMd0sDBhwO1Gljh8zP5m4GC2pztK7U5XZMBNRrxcx9N+0BJ37h7mcdD8s8i4r+OiE38\n", "9qxt28PvPx9GxLO+Clx4emP9Oi21bZp3y9pGo1E5jVfXOXEZKiG6vbu766zEcMaiopZSW1tbi52d\n", "nVhdXY22fecdOTs7i8PDwzg/P4/JZFLyRzip9S7Bwz7RYtPBeTs7O+WsGoVYmqbp5HvIgpJrVwJC\n", "XiSFlRSq0Q6vDM/4ihq2V7TQb6Ilf3e6+f0+1n2TzSe4K1C2L7tGv8typUvdxz0TCqyP7dDzuQqJ\n", "isiFlQMSjRuVR829T2Gm0uc9cvry+gzEOABi8vK8gITlfZVDT/nRsmRW4VhlXit6SOglyMaDHhLO\n", "hen0/tBDH0vKMG6tHnEPSOTtnOUhUXGeondE819gZH19vXgKIx6ef0O5RNDk3hZ5R7SRotrhIUjS\n", "vDYebuCwkK787ceUWfeT32koZkaGGxIONihnSBsCkwyMZG2ZBzB4P2b1kdfN+i2rO/vPgWgfGPF7\n", "ZpVeQNI0zX8QEa/btv0/m6b59ysPapumqT7t8PCwNFIMzpAElQk38pFn4urqKi4uLuL6+vqBJUtF\n", "5pNDFsRgMIiLi4uOkvKkrqZpOomhOj+mbds4OTmJ8/PzOD4+jtFoVJaLerxfgksWu/JAIu4Vgjwa\n", "m5ubcXBwEM+ePYvd3d3O2RJiZq0eEjChx4UJtxsbG6W9GxsbpY63b9/G1dVVZ5v9LDZJy0u09VwI\n", "j62L/pkgzpgevJJ6RySA3ZOSWSMUirrGrRkXEOx7xH2SKwUK3+kx070eT9Zz1C+1hYAhAwveb3fj\n", "+vhkINxp68Dcx5khOY7FLMH313/91/E3f/M3Pwkg+SlkyXA4VF1FRrhgJWj0pHgqC09W5jVoc4cP\n", "M28Lwz+cP8xli7g/tkLzcjKZpKFojhfbJD5fWFjoeDI0/+VhXVtb63gY/VgEBzasS9vKy8NCQ87b\n", "orbyXZ8zcEFed+PGebGmpMnnzpN8bp8y5TzlvCD/8F0lC9FQj2SrbDJ+cv3ln51uTs9aX/mf98mv\n", "y/7LaFyrO/veB0p+/etfx69//etOv2pllofk342IP26a5h9ExHJEbDZN879ExGHTND9r2/ZV0zSf\n", "R8TrWgUHBwdlIhGlMxFSAoTnJGgXPR1Ep1055xGqAiQ6WlvARAzDUAgBjA6fkoJXAuvz589jPB7H\n", "ZDLpeFT0fOarkDH982AwKCduHhwcxOeff168Gor5yjIXrQRIOFHoqlWYZnt7O1ZWVooS01kXtIia\n", "pinuYwoCByUu3JumKf12odznDfAJmE0sPktC3wEJQYxoqfvdmtGzCEj0DE8sJD/wDA+2T/U66OFz\n", "XGh4n2r9FnjI6O/09fZk9alfmlMOSFhnTaCx/OpXv4rf//3fL9f/xV/8RfXaOcqPliU7OzulT1IE\n", "Nb6t5Y/4vKwpW9HGAY3zD+viCisZONyMcDqdlj2TuGLOwb6PPwEJQysK0yh3TN5R9UGGDAEJecgT\n", "WAlIGGqq5UFk813t1rvmhocy/Rrex/r9fZaC5vX+mXVkIdvs5WOQgRHu9lwzuvjcTIdlAKXWJ+eR\n", "jEbZ54wO+t3bVbvPyzzX/epXv4pf/epXpb1//ud/Xr22F5C0bftPIuKffP/AP4yI/6pt2/+4aZo/\n", "i4g/iYh/+v37X9bqYBiAxKPA4CtTGlkOgIoLBj2TIRK2gScGS8HKmpLFodU5V1dXJZlVISMqJ1lB\n", "YjTmNRCsyBpZX1+P3d3d2N3djZ2dndja2ioCYDqdlhM8tS08N5CTgJAHR3XIw6IVOuqju4BJVypw\n", "CkMyqEo2mXxCZYJ8Bl89UIqzns/vGk9OIk1g8QAntQMbbi6ncBhDfuRFBzSqmzTM2p7xqtPGBRH7\n", "RyXmAmaWoMmeWRNcmYB02rsX54eUn0KWeHHl4nOeHi1XJO4h6ePJiCgGDXkqCwcyIdKTq/0wTPfC\n", "fU+n8k5ej4hO0imT2LmqTvsicddQz4VyUKMXz6lxhZyBpszDoLaTls7D2byYB4xk4L7vnr7nsQ8Z\n", "8FebagCE+0G5B8p5KDOy+Mw+wzCTD9lvWd8yGvK/vldfmUfmZKVv7FTedx8S1fjfR8S/bJrmH8X3\n", "S/VqN2gQOCkYponoEsqFcZYHQMASEQ8ACYUSicWEMnezPnny7qC7zc3NGAwG5fC8yWRSVrcQYBCQ\n", "cMK6y5/5Hpubm7G/vx/7+/uxvb0dGxsbsby8XE7svLy8LDkqAiQCI7K4NjY2Ynd3N/b392NnZyd2\n", "dnY6O9pqshCceZa8fqPXiAJGtFYh4HLBo/dMWPgkz67n5M3CHNlkciDLutzz5jxye3sbk8mkjKs8\n", "ULRu9S4lp2ezbuexTCirve8zgdk/1sPPDgwzJdpnRRLQUeFFdHOx+PopQImV95YlKpkAZaimlsya\n", "rTRhGCGjGZUuQUNmCGnsPFwkLwV3V3aDwZU5LXj1kZ5Rhmq4IpBhXz+jKeI+nKT8E4EReUe0qqY2\n", "tx3IZkrM5ze9gBk/UxHPKn3gIvus79nYzlLqHGcmBst7zbHkVgI0Rl2u8KV5Lk+ppwFkbXQ6zgNM\n", "/P2HgJBa/fMWjnVfmRuQtG37byLi33z/+TQi/mjehjiYoABRkZJUMhY3sOL9ztBZ/bRMaL14wqIU\n", "jsIgclu27btEVuaMqM20wvQSI7q1JNCiZbnb29uxt7dXlvlubGx06ri8vIzRaBRXV1edeK+WMq+u\n", "rhbviOrY2toqNCV6J8jgnhxielpwtJ5mMU4NjPB/F67zMrtbtc5Hoil5RnTn83gvE/oUAhMgkafk\n", "7du3D87o4HJAAR32Q3zqgMrzNVyp6Z4aTfqEg9NoVqkJ+j4Ald077xjOW36oLGHbIrrKMSIeCHxe\n", "TwWdhWy8zBLWLnf0fD8HRdcyZ83vYf2eM0RlpiR2hmrkHdE5WBovB156loMR3e/nczHk2Wf1kz5u\n", "HHjOSN9YzrquVlw5v49idfDOd4I6ghDJEHpX6WFVvc4LXA0o2jkA4W+uK93YeJ+5OS8Y6avnMcBI\n", "xCPs1Jq5sThR9Z0TpWmaEmcleHBQo5JZSQqBCFDoeZmLVa5QJd1eXl7GZDIpu7ES7TJZjXFVfVZf\n", "9Nvy8nIJrRwcHHTCNWtra4XRlXGvQ/No0SwtLRVAo/u5b4nv+iiaMxzlgIRCO3MlukXs9CfdfRx0\n", "PT1WLM7c5AO3tNxDpvoyIcm2S/jLy6XQm8Jv8kARTKpujXfmeSBgYk6N81/mfWBf3cLJ6EaeYr1O\n", "P1e+NTpndO/zEKgt2X8fo2Rt8LHh+LDdnoDI/0UXBzSq05VmFqpx8O/AmnVIjrBOn3uUczLUtDpP\n", "XhF5RgQkaM37vkNc4ccNFLmrM7dLcDngAFv8yDFQoZetFhbLXtlY15TZPOCedXGMvT4+nyEa5TDq\n", "VGW9uNiAJ82rfo2ZeI5eksxr4sCTQCUDJD8EVNQME/+c3T9Ljjits+/zyo8PDki0PK4m1DUQAiRr\n", "a2sREZ3EL5+omaDnoDJ8oZUmrMNjtw5Ibm5uOruxso26djAYdGLBXPkhRDydTmNlZSV2dnbi2bNn\n", "cXBwEHt7e7G9vV2EiZhe/VUiKj0ZAiQK0ezu7sbW1lY55O/y8rLjUqRHx3ct5QShctN/Ed1kTX73\n", "WHCmHDXGqi+7jgDCla5KBkam02lnfJmrQ8UhRXp9fV121+WW/xI2Gn+FDmnVurB1pafnU1jo/rZt\n", "O3sbeOlTrKSJPlOQsa8eWiG4yIRNVnQPlSDrrymMj1Fq1jTHxXla11JRZ94RH1+vywGD08bBf60d\n", "4hOFevU/V9qQ3jJw6B3RXkOSISsrK0UeeaIljYIsGVZhY4VqSFv20eeAhytFQwd5TrsMhNSASQ2U\n", "cK7wfZ5C/tacoYGhfkueXl9fFwNVxo3kNU9Idq85D+8jgCN/+Lv4iDIzAyh9QKVPJvOzf9dnvy+j\n", "X+2/WePmn7PywQGJlBIZOeI+tyKb8LJu5S3gxGIR8bkfB5nAE8uc6YVkdXYDD45SHTxUSgmsYt63\n", "b98WD4x7JXS9vBryjghIRETxjCh/hEt0JUCUe7Kzs1PAjDwjg8Gg41JkmIeMRsXl5zNklhytSglL\n", "V1y1sEGN4fqQuyasYtcZ8CSAdUGv3zQmk8mkABC9Li4uYjwex+XlZalTQmMwGHRWbdBt6taVAJ57\n", "mtQ+eVYEVty17QLAx0K/+/iw0DOX1TsP/bO54PV/KkBEpQbkXFFFdJU8ZQp5mXXQu5ElxbpRVLuX\n", "+Vpqh79cQNMqpzEiMOIHZmqJ7+rqapFJVKJUlOqD9hipJbH6aiAPkWeg3AEJaZIZM31110CJ/ue7\n", "/1777jTmNXyG2iNZKs+6lmfLsyo5rf/JSzT85B3JPNLOY7U8EwclDkCy/yizHNDUxikrNZCSgZia\n", "fPghYCTiEQCJBkRFFgI3HPKXFL1Wm9SWxqmuxcXFMsloeRD0ZMwuBU0LgYPOE4EFStQ2JTQJkAhI\n", "yMqQEFHeCAHJ8vJytG1bvCLj8biALyk15Y0wVLO3txdbW1uxvr4eS0tLDzK+pVApEKm4yPzqP/vr\n", "E1cKnmCQQpnWhls8pHFNWZKp1baIeACs6GYlSKClo/Zqmfjh4WG8fPkyTk9P4/T0tHjbdHaH6Kux\n", "pQKreYrEa7oms3DcWqMw8mRVWlQquoY8y+8qrrg4njUgoXqokKkU6PmpKYWPWUhb57HsWnpCHJD4\n", "/e5O54sAMANytH79HBkHGny2gxEuG5XykrElj4a8I/SMRNznxzkgoYzTjq4OSDzfxYGDA+iaF8mV\n", "vurre/VdwzIPGOlTkhoP9oXPp4EpI3EymcRoNOoYMzIcJasjHu7My7EmKFxYeHfQqXhEdPfvNVBS\n", "+81fMopcLjjtMmPkfcBIRseaHpjXsPnggCRrsH6XZSqGYAKiYne1g+A4INpwTBNU+4u4cGCbNHBy\n", "Y2qpmye9ZZOOGfNaDkzgtbCwEGtra7G3txf7+/sFiGifgKZpindkNBp1tsYnyJIg0j4jXOIb8U4I\n", "eS6E09z7TK8Uf8+ECL0jbvE4EKk9rw+QRNznrxDhSwmwLhWG3MQ3ep2fn8dwOIyjo6N4+fJlvHz5\n", "Ms7Pzzv72EREAa08dO/t27dlImcKWwBC9KjFhR08ZdaP/udZJ05HChACo5rypVXE312QuOCex+rp\n", "G7/HLg74ateQdwlOCAhcjrj16jTJgDbBSBaqkbwgGCII8f9VJAO4qoZ5I76RopQkPcqSgfSycAM0\n", "34nVgVfW1wxga96qDo4DX31eohqI9pLJk+w76+Y1rosEROSRl4E4Go0KGBmNRp1t/ulNlbzOlLID\n", "EvHY7e3tA0DS5x2ZBUBYl8LZ/K5+U8aSVtmc6gMjmYzpG7t5wUjEIwASF9CK3bvrTktymTyk5E5Z\n", "kBlaZ/7J0tJStO27fSYi7r0VVDIMGek+bQQkppQH5ObmpvRDA8FzZeS90f8CODoL5+c//3l89tln\n", "sb293clgV1hhOBwWhlfyLHerFSDZ3t4uLzGcck/koXEFxnaTaWmlZ4WTaRaT1V4cGwd0fe1jceHB\n", "ceRkv7m5KQLk1atX8erVqzg6OorhcBjD4bAAR/GDW7IS5j4xM8UiAO0hQU58V+pZGED9o4JSiEd8\n", "yHsIAqkomafigpcg0nmYfaxZk9n1n1KpCdKILiCpgeZMjnB+ZOCNYNGVjIdCKe98rwoP0XCrAI05\n", "c+qUN8IVNdy0jGBEeSQ0bHjela+oIX/VAFsmQ9yS5xx1GnDe9skUp/usV3YveaD2v4MRyVGFZgRG\n", "9JIHW7KEIWX134GmywHR0MFIje8cmGSeu6wOgmOCEx8P1UFDugZKSLvsmvcBHLPKBwckIopbnmRQ\n", "DaJnMzOEEVFXZHJtLi0tFUAxGAxKaMQVJRW/dinUhkK+rIuWDD0ndI+SGbT9/N7eXnz++efx2Wef\n", "FSGiZaXacG04HMb5+XmMx+PST+03ImCzubnZASQUPApriWGl5GrALQMkmZDIhHgm/PsEmU8aTlAq\n", "kz4BwzF36408c3Z2Fq9fv46vvvoqvvzyyzg+Pi7CQ+2Q8FVCMuklPuPSPHpLNO66PgvXMOzCPlBZ\n", "uSKjhav/5NKlC1glA0E+hn1gw4VKpjiy+fUplcxyywSiAFmmEJ3vXJBnnr2ako6IdG7RO0JAQhDq\n", "y5ClKGgs0TvCDdA09uJfySuGEvy8KwESJcN7OJtz2ftKfnBjgx5Nei/17qEujkM2vpQXfWDE5YZ/\n", "dn7mb5Th8ozII8KXQjceFte4R3QPU6WXy78TWGQ5JOxDBgSd7g4+uMQ487y6jCKvSl7MMmJ4308J\n", "RFQeJYckorv0Ux13pEnlQVdrtkxPg6tBIOJ98+ZNyQtwhcyExIhu7FyASIlL3ObegYkYkPWurKzE\n", "3t5ePHv2rJzgy1Mzb29vi0dEbkAhbrVRgEaH7ymJlWfU+A6j6gutlRozk/k1Ph4O0HMIIDludNUK\n", "ECrHpmYpqswSNDUlqjGSAJbwEBg5OjqK09PTePv2bRG0ckfrs8Ceexr4mTRR+/U+S1ASuDAck3lJ\n", "aFl7Qpzo6GDFC2lGxcJ2O20zMOqgs+Zt+9glAxQR915Y3wNEQpaKXrKC9PF54UCUMkDP45jws+RQ\n", "RBcs6J0eEsoS1VMDIhsbG51TfBk6lgGlOav+0MOS7TUSEQ/awfH2OZJZ6OSXPv7KeFP09/ops/uA\n", "SA2M1PiGIJArG5W4Stnshx5qTrNNmXeCMjgLfakuJr078GU/6SFhrknNK8ITpmsyiPMgky38nrXL\n", "+zOrOE/0lUcBJCKAGuTM6QqUyN03nqEQ0gCIgHJ93tzcFO8IGUcD4+vGJbi0TJM6mngAACAASURB\n", "VFQ7pRKQeGIa26B6BUh+8YtfxMHBQckZESCR50d5DTVAwiW+2kBNHhy6GJm4FtFlYGd20sGBi/qi\n", "zxKkKlR2rsQ1XlpV5JNWY6x6Zlk5LFSkFCjX19cxHA7j1atXcXh4GMfHx3F0dFQEiMaDzxKvEKT4\n", "cyhI3DPiHgm3uCOi8IxCd4rR1wQC+Yf0u729LcmzEdGZP2yzA8nM2+X05v/sB8eDSvtTAiQehnJ+\n", "yrxRbvTQ46Q6Mi8evRiurDkHIrqAhJ4Z31BL+R0edmR93I/JD85bXV0tgER105urugW+uQGa541I\n", "5rmh5V5OV4rOv5ksEQ395QaOj0MN/GRyw+/le8azlB/yijBxlS/u4qwtIxwgZW10IJ+1w/vJdmcA\n", "hrztHhGCkQyQ6DP3zuIqQfaLz6SR655Xvrss6ZMVGY9k5VE2RlODRBB1moyqCaSwhibJzc1NiuI0\n", "SOqoZ0kvLy8XFCoFkR0ZLiLK/U9mdGsmEyICEcvLy2V5rrZ1l4ekaZqyJ4ojcNXFHV1Vj+LGS0tL\n", "ERGdczCYbOrKnSjagZcLEWcSj4PSyiTA82cRjNQ8JDVAouv4TobX2N7c3BQwd3x8HMfHx3F6ehqj\n", "0Shubm6ibduSnOz95+RlcQFMoSA6uNWT7fYpXhUg0TVuwfg7gagEhw6WVB0UMlS0Avsu3Jy2Llzc\n", "GKiNkY/fp1CcZzMQTkuSBoQKwWdEdMYi4uH5WD7WfKbqU9so17JzT1iPe2myXVSZN8IlvjwXh5a8\n", "gxolsSrHjgYc5S9p5AaNe0XItw7knW9qwNbHj8ZSJqtqxcfA+US6wRdM0DPCI0IEQtQXenwzmmQg\n", "qW9+6XeNYzYO2XyseURcpmRAhN5ryhLJJwEUhqD0TnBCmtfGtwbCsjHKygcHJEwCouB1y0VJnCsr\n", "K50EMB8IR+ESHkS+4/E4VlZWypbgmqDadExu/cFg0BE4tGYEFpwJm+Y+T0OTSLke2s5d2fDb29sx\n", "GAwK82fuQNWxvLxcEli1xFduWik4WkL0VtSsBrfiMuuSk4LgS333ScN7qfCy+DvHyetQPVn9+k/l\n", "7du3JURzcnISJycnJf9GeSLaUI/AlysIMuHm1htjvuJXjbP4JeJeYUnBcKWOcorcInD3qSwW1f3m\n", "zZuO8GCiIk+Ozawihi2zsafy7bMeOR/fR4g8VulTcg7EPexF3nSAlln7GtPaUmE9k20TiBc9ffdk\n", "Dz9T2bhnxE/wVe6TPC8KL9Proj5kJ/hm+yzxxT5lHgAHDARw2XyvvXi9GzUZKMmUvf82a04TjGjz\n", "SYIR3yFbBqJ7DjKPjf7zfmaGbOZR4PVMbnaakT4ZMMlAiWSJ5Ae9sLV3yT3KPueLrA+cTxxn0m8e\n", "w+ZRdmpVQ5RIpdUw8oxwB1TlWuhFgsn6jbjPc/ClmwIkGxsbcXt7W565srISFxcXhUEj7hNuHUFz\n", "ZYYmcaZg1a7V1dUCJOTV0Et5I9y6XHtiSFCqfcob0UvJZxFRBBCFGpnEvSQ+4d3L5AySTaJsAvkz\n", "MsvJQUlNGfYJLBV5HkajUQnNvH79uuyYKACwtrbWaYf4qgbYvM8CANm1Ag1UNhoHKh3xkcaHxyZ4\n", "aEYCzwGGhAetGlq3vFb1TafTIkxccBDE18CIC8w+D9bHLGyrKwEVKngefOlgWb9HPASrHGOCTnpI\n", "RGPVoTZxLxHJMMopAvAaIKF3RIBEOXGqU7JKdUdE4R96R2TkyfNMujkAz7wWPr99nrP4vHXF6kaU\n", "g0gHJa74dX8mJzJe4RhyEYBCNVzKS0OPnnynRW1uZF508k3N+PJ2Zt5X9duBWxbCcUDCRRLuMZEn\n", "lsn1HKvMyNF8Ydv1me8ZX3wSHhIqzNvb25KfoU7rtNumaYoVSOEqq0MvDpyIRuQnISErgju3cjJG\n", "5MlrtTgn71GflMG+vb0dBwcHcXBwENvb22XVznQ67XhtNAG4esgPzdvZ2Sk7zrZtW5bx+RLjbFLP\n", "M9kz4esTIOLeoyKrzIvqlpJ04RHx8NjxeQrHRDk3w+EwTk5O4uzsLCaTSVHADPH5BOUKlWxSuSUj\n", "T4SvfMgsm8xa5v93d+82aPPJneWS+BgRmCsP5fLysgNktEJML2+PewK8fVk/NM6Zd+RT8ZLMykFw\n", "UEsL18MLWi3B+eyClgAzUxCcHy6ca+EetU0gV3ys5FNtfpatqCFwpgxsmvvNz3iCL/PXHIw4kMss\n", "4VoohTLdrXzRreYZ6AM9GRjxMWYbWfQMynOBQSawyltN75L4XvpH9PCXPzcDJA5GstAuP/sKK/dK\n", "63+OU2YEOmDMPCT8zt+VzkBPLI0fet/I/65L+c659T7lUfYh0UBy8x9aEW3bxtOn7w6bcre0BkcD\n", "o0RTWcYeNxMSlRVBTwQFjlsJzBepIXD+Lk+PdmM9ODiI/f39souiQBUTqHhWDYWI9hmQZ8QBDd2+\n", "BB9qCxnTBSzDKRQkYnwxPQWJ6nXgot8pUN21qWvIoBmoqSFqtUdhmuFwGKenp3FyclLOFqKCZzs8\n", "jCH+Ec/5pOL4K0ziFnGW0JwpevI0d/NV8bBjTeAJZGh/nOXl5Q7IktBYXV2N1dXVzniT3g5IOJZ9\n", "lmvNCvwUQEkNkBBouNJXfwhIlPhcC32qHvFhzXPoysOVsi/zZbua5n7ll/YJkUeESawy1iLuc6my\n", "M6u4OocrazxU42Ak81rU+DNTzg5w/ZWBn+w5NaPJxybjQ9afebwpf2teEeeVmsfX5SF5MwMinodI\n", "OcvFFeI3BzkexhHfqZ01T5bnkNReAiPa+VuyUEaf3lUvx9DpkIES8tg85YMDkog8HKDfGUeXIJaL\n", "OiJidXU1ptNpWZGi19u3bzuWIjPHmeAqTwOJyoGLuF+dQwGiyUa3Ll15OsXXd2NdW1sr7lVuC89k\n", "KaFx5o1sb2+XbeGF0pU3IoaMeAgU6AmhAnLFx+8UuOx7za2s56heAgCfvGQ8TvTMxev80bZtJ+ns\n", "9PS0nENzdXVVBDCTFr097oXIXO0ZXwqQuEVMNzl/FyDW4YucfNyojopKv7uXSvRtmnc7+C4tLZXQ\n", "oQCJh3R8sy0pWYaCBIrFvzWB6jTx32veoMcu5BN+JlAcDAYdPiatdZ88YTJexFNyUYtXqDwy5ZqB\n", "2+w+AinOVw/TMG9kbW0tlpaWSpto8VMeqJ5s8zOG+Zx2PrfdWKl5RzJvQaZsMwDnQKTPezsLjDhv\n", "cq4yRMMEVp7Wy8RVDxW5rsi8IzVA0gdI3dDxDRAzXuczye9N8zB64EYojfWax0S6VnpXnmKGeJg2\n", "4XOqJiN+qMx4tH1IyDicDMr7EMqXslFWuVbLCNVqxzwRhlYkFa0Y0lcv+EBpYCnY6ZKS4FIuiupY\n", "X1+Pg4ODsvmZ9gvRdXIPXlxclNN4paCVd6LlvUyGXV1d7QgfuRV9wlKh0fLWb9kEp0vQlZnnQoi+\n", "Yn56ReTWq1k3Kuqvo2v+754KhWiUtHp+fl68YnwGhYgnjDogkUtUxQWLeIZn2vDdacXcEU/mZV8y\n", "IXR3d/cgoZoCm+Mu684T0gRI/JUls1F5usLJxsIF3KcEStwS1tz1/lAg0ztCoK/ls/RWSoZQZtHC\n", "ZXFlSUPLlZPfI771reG1xJd5IwJYBCPKGZFhI0+tck+4+ZnmnXvESKs+QOJzLZvj5PnMo5j1v6/u\n", "TOE5ePLne4iGCaySxfJa+iGmqjPLy8ja4TR0Oqg9mYeVRiDliAMx92Jlya7uiah5nRyYMGfz+vo6\n", "lpeXiwEkcEJgwoUoGVjj+LJN7j2Zx0vywQEJJzhRszpDpCqBqwkm4imOKuWg+p4+fVrckk+ePCnu\n", "fA20hLkrLVr3EdFhZgIStVmf6cXZ2tqKvb29+NnPflYAhYRI0zRl867RaFSWEKsOHpqnZFgCGnkD\n", "pJhkwfeBDLe6+wSMW/5Z8p0zPJE380ZcsLibjhPdhT2tW3m+xuNxnJ2dxfHxccmEFziq5WH4xMss\n", "L7cMa4Its/ZcGXBsakJafM57MktbzxGtyYvKgZIAIf9KsIpuvFbhHnfzcgw1rhwvt/4JsD41QMLi\n", "wpx8SouXwEPGiH4X7Xz8NTb0lBL0S96ofdm9DgDEqx6uERhZX18vBllmQOh5qoM7sTLUw1Vmaqd7\n", "K/TZZYUDBAIHH49M0WYeEj4385DUQiTZfHV6S7Fzt2+GyZkzIiMza4cDkj5ZkfGntysDajSAPZSb\n", "KW3Wy/ozgOk0rgETgYzl5eUCSvSSZ3Z5eTnevn1b8pCkh1zOEkTp+X306SuPepYNha83LvOUaMnr\n", "06dPY319Pfb29mJxcTEuLy/j7u6uJIAJsEh5T6fTsqeIJq2EkWJlEVHijNzp0JEzJ6oUowAFM+HX\n", "19djeXk5IqK4CoXIKUAWFhY6J/ju7+/H/v5+ZzdWeXgYv64xXcbAmSBxwZQdxpW5n6nE6FqUMJe1\n", "z8mi+9SWzL1Kq4Y7r+qAPB2IR7dkJjBcaLjVqja4hUt3rYRs03Td7RIeeiYFCbelrwlV3UNLSIBX\n", "PEalpr5SeShvilb14uJi4VuBNgkN7fSrl4AJc2ucTzg/VcQHot2nAEi8ffws7xKVjGipuc+5rO8R\n", "9zlhPl4ClKSFrnfF3Kd8HATUwIgOzsvOmeEc5fzm/QIjHsLOFJcrrRoYycIpGgvvM8OaDJX682rG\n", "RBa+YdscFBCoycKnR0SfGeanQVJrSx9IqNEyoguMeZ17XMVfCrPq5eCBIILyoxYS9LEmaHEgpJQH\n", "7vwtYOI5bG/evInl5eXiWfRoQwYinTbzlkcBJD5hJSD5nwAJ/7u7uysTdH19PRYW3m1wpv0n5OaU\n", "a54D8ebNmwJI1tfX33X2e0BCN/ebN2/iyZMnHUDCicgJpf+0RJdgRLkfCivVAMnS0lIBJHt7eyUH\n", "xcNH9FbUSs2K8MlWAyQepiGoYL9VD+PRGltNWt3nk5OeAxUHRdfX12UL+PPz8xLvVeFk5UR1gOQW\n", "P+mU8aHaTgFUUygufAlYaTFQkC8uLnZyTigYBWik2DQOLkAiovNM5UwpHMnkNAkSWYOsQ4Ikc/Ny\n", "zOlFYr8/BUDilqI+qw++Ck2fNfYcI9GCY7iwsFDApsZdxosKeYbgMaKbUKl3hqj5LAESGTYyruQd\n", "ERDMPA/y6PCYCckhJdQz/MQXlbvLC385QHBL2OeF56ER5NZAgFvbDkTYNtVDOU+jkkt6BUiUL0La\n", "sR01b6u3wfnOec9pyHuyMI7AgMuODKjJI0oPTxYao9EvfoyI8t29pJLpvnKPnhLt5yV9pP+py13P\n", "UOZ/coAk4uFA+iBr4otYk8mkWKu0qhWikeLe2toqORdUrLpeip1CeWNjIyIixuNxUQwR0fFIUChH\n", "dN2sa2trZYmuBAhDNW3bdgaQHhcmsWpFjcI0EQ+TWCn4XIhkEzazbMgoHqrxFSVZzNeFk08UgZTM\n", "qnFhovGWEOGBVmdnZzEcDkvyssBfZsk5As8sKOc9TiDmXIjGUlru3WFukluqopVPRgJfeoFubm7i\n", "yZMnZWJT8at/LmDUdl0nL4B4XnXK/So3q54pWkrYZJskEXiTbrS8PpXiYMTfaYESLLoCJsh1vhWP\n", "OCAh/0d0QTANq8xLoGdJ8DMJNUtEzcCE2jAYDIoFK08Yl/h6m3xO1+YU51EGUNz6z4DIPN6RGhjI\n", "vCIuPwjSPHGVL57OS2M1A2P+qvGd95v94xzyZ+i+hYX7fa9qHgXWJxoxP4y6xUPBrNtDOjR0al4T\n", "5hL66k4+U/cojOOgyoHa+5RHySFxizubyCLQ7e1t8ZTQO6BOK1lrMBiUrdm1lJYu/oiHm/MsLi7G\n", "5uZmNM27rdwnk8kDbwmfSWUlQLG+vl52UlXeh1ysrvDJtAsLC7GystI5vXdra6scJS7lwnyTmuuS\n", "ngG2MwsbZN4Rd6+64KNidmHhyVFyDXvbakBBgO36+jouLi7i9evXcXx8XASJ5/CwjzVrPvME6R4H\n", "Enr29fV14SOGMVTorqVgF2hwD4Z7RnS9JrZOoJaHScpO7VI7Ms+YnileolDgcylEJKylILl6zcGJ\n", "W4T0JtG6/9SLK8nBYFA8oG75ewI0x1r30vtBcKjiPEnh7kCCvKH9i7i1uyeiumdOoJRykPc6mMlc\n", "9zUFXDMi/JXRuRaqyTwjNeMmM2gyA4TyVfzNvUW4/bsMO4ZIHQD08XTmLXSPEPWa+qXPmbdA988K\n", "Bek/8akMCBkYDOEIfLgH12U6jQt6i3wcmR/nwKfPK0NZTFq/rzHzKIBE7xygbDAoxAUsJDwj7pe4\n", "aZAUzpFnQ++q0xG8QIE+u9XsmcycLNwvZHd3N3Z3d0vMV1aJu2wpRAaDQdlingdmMVSjSUarypk7\n", "Q/MOCDjBRWunR02Q6PrMO0JhTgtb9zgg4ThTkEwmk7INvHZeVRsIrtg/5yn1h94M8pueycnDZFGB\n", "WComjjlpSNqJNk+fPi1CibxMC6Ft22KliT90jZSlQoXix4WFhZIzoiIFxf6oTU4jKVQJFdFjdXX1\n", "gXWlujweTDqTxp9CoZDLBB4BqOae6Ov8SXmiQoDC+jSm7nFwJUVAQgUjwMncEXpHFK9X+zJPmf5j\n", "He4dIa/4/ZknJAMmGSAgrb3PLvPYbz23BkZmeUl8HORF9vNouL+I59/N8n6ofjeeKQ8zr1AGOPW5\n", "Rj96L/QMeRm8vZJPkgukIevnOLuhyXd6Pdm/DNCwfxk/cV64N4Zjrs+i8azyKCEbFW+kTzS3VCg0\n", "Iu5jxBH3gkNZwlIEJIqIpfCAlGjEvYL0CUWCyqLRbqzK99AJvLJK1DZZpLTyJegXFxc7QERZ9LqX\n", "B+c5zVxYZIJFhRNDxS0tTiopRcYZOS5ZbgTDNLOEnJj15uamCI6jo6M4Pj6O4XAY4/G4k7Qpwc0+\n", "MF7PyRzR9U54nykUs/5rVc/t7W1RCNyILONfHxO1i+CEvKyi0KB7U/hZ9JcwUj8pVDwWrr7xu/oW\n", "cX/0Qabg2D7xeyaY+fljlkyhZL9ReQmYuQEUcT9XKHeysclAhwotSAd6ap/kgC/z5aoYLfFlnfTC\n", "qZ2+AZq8XgpLsa2uINTneV+ZfHHF7CDZrXzxFWndt1LO5UpEdOarZLkfjqccEs+dcoPBPUc+B6h7\n", "ON9J12ysRTOfZy4XVV8N+InfZBxkACDTcaLTwsLCg8RXD6PxXp9HHFsB+UzWOx29XZmen6c8ag6J\n", "I173AmSKRda4CESUORgMiuvZiaRn3N3dlTXpq6urxRqSV4QeAgp7WjQCJJ999lkcHByUk3wlEJil\n", "zJilLGlZM8qkFyDRagku3ZQbriYkM/DBvmeKRbTIkLDAkOojIHHviOqmNV0DRmRcCZPRaBSnp6fx\n", "3XffxcuXL2M0GhVm5pbFDghYlwsRtpv8pj6q7Zw07qIkIHvy5EmxVDNF7GMi0KX7CaLZh6urq47w\n", "kEeEyo90dkDiVg/HikKR3yWgxO/eD72L1ylgWD4lQOIKxv+P6Ho1NJ/0O2WR+DizQMn3tC4dkLjH\n", "yeUIQTbPmSEgkSwQn1LpkV+ycI/CPAQkGSipeULcgOBcrikhWsb+ciVX84xk3hHSXPerTskQPxhv\n", "PB7HaDR6cOoxdQt5g/zhIIGgLeMptYM5Wty2gu1VPZSTrM/HgL+RdrXxZF9c37lHNQMkDiR87kTc\n", "r0KtzTe2gcV1SGYM1MqjnWVTs8oiuoPNyaND1TTQ0+k797IYT8lh+qxsdSWsakBUj5YCazmYD1RE\n", "NyHpyZMnndM35Rnx3Vh9qZnOMVEmPE//3dzcLNtBe6xfz3dELVrVJrgryMy67QvN6LkObqRYZWVL\n", "iNRchxRiGksJkPPz8+IZOTs7K3utZHzgk44KkmNDBaz79a5+qs0u5KfTaecQRdGfYEL19VkmssK1\n", "K7ALILbFQaP4Wd9JT94jJShwwTnCcWUCp/rCucPVPaRjFtZwPvpUSp9wzAQfrb0+S1l0oHdTCoXK\n", "gLwmwMO8H/dACUjQM8IlvgITEfd70Ki95GF5gwVGGKaREmMbvR0uI/S9Firp84zUvCMcB8oIekQ8\n", "dyfzjOh5oofmF70io9Gos6JG13k72G4BPu+X5joBvMte9t3ztCjHPAdMz/Rl2G4U8XMmazK5qPo5\n", "xg5IGAnoAyQ10Eoacjy0B5MbU+QptX0WoGF5FEBCJlOh5SrlxTyCwWAQ19fXMRwO4/r6utQllyV3\n", "kmuad1u5b29vF3Cg02Cn02lJkhWB5arP3Gtss3ZUlQDRoVc6a+b29raTWMXMbllEPKdGgGRxcTEi\n", "orNcTUyduSzZpj4XK5lA72SkGiCh4BBTU5n7duS1mK/qpLKWV+T4+DgODw/j9evXndVNzh8aDxaf\n", "iFSmEfceBJ9sUjRUHpyc19fXZQl527alr1QSbIPe6fmRh+Xm5qbwTCZUs5AOhaCDTI6V8iFo9bnF\n", "xrHiuNJypmKWIJZnipY8x/FTKtkc5X/6nUXyxUEvrXqtGFBCKMMk3BvIlQYBaRbyHQwGhZ9o2Dgg\n", "ES9wlQPrYyKrdnjmDtXqW81bUfN89MkSKifSkiDEn5UptXk8Ih42i+ieXSYZq40m5RmRjGfeHWnv\n", "SpxgxJU8DamaAtWYa4wYJtIztDSXHjLOe9VDXuK4e8iebfcXx1L0k6HDsSLQ7gMlnD+qi6CEHkJf\n", "suwvn7MZBsjKo4RsfIDJrBHxQJmImbTRmXIMNME16EKdcrELQGxvb5c65E0hQpQrSiWbuAsLC+UU\n", "3r29vdjZ2Sln1QgEyeNCMKKJJO+N9krZ2dkpYCYiilIWgFEbODH9VXN/1rwq6huZ0wWnW0n0mDB5\n", "tWZNZUx7e3tbQNrx8XG8fv26eEdOTk5SwRdxrzz0/Ex4ZPxDF3LNsqCHQFn4k8kkhsNhyS/SKgVf\n", "eUIe0TvHT4JpMBh0TlaNiM7zGNah8hdwEhBxq4nt4HUEK7LCmJhKT5Larjqb5n6beoFrD5N9qsXn\n", "BYEKBR75kd/dlS06cMmsBL6EOY0nd4dnq+rEn9nheQrVEFCoHoYBVI/CiKpHYMTb6x4L0qUGRjIL\n", "N5MlrsCyEIIDHwIRf2WeEcoQzS/JkfF4HBcXF3FxcdFZUUPjRv0Uv7PtVLR99GA7yG8uR+i10VEm\n", "0llS/ho7l+0yjhiu5wo5tlOFfOcefT1HOs8BiUK8DsIymcni8p1zyIEJF470AZJZ5dGW/bpirSEm\n", "Mo4EKAV2xL1rs23buL6+jtXV1bJ8dmFhIXZ2dsokjbjfdMpDNK5s9Fx5Xra3t+PZs2fx85//PA4O\n", "Dsr28IPBuy3vLy8v4+zsrLPfg5hjZWUltra2yvLejY2NsvOsrGpNKKFyH/zM2uBkdkvGhTTpTwby\n", "+DTDMETyzOeoARK2QXFeARG9Tk5OOnuMCDxSmagtYnbWrd8zC9knKgU5J+jd3V2xpiTQtCvsZDLp\n", "7G4pPlN+ktNxOp124tgCpBofeR/ati0rirRjJIU3wzsMGXCMxC8SZvJW6X/dT0BCunL8yOtSsNyT\n", "RQCJcyObox+rZABdv3sbKXD1nQKaNBQYEZik94pzj55c3ef8F3EPImSUcPMz5p6Jz9xlzzwyrsyR\n", "nOO28hEPV0lk9HIjwt3tmWFT8yZkSsw9APTs9HlF+EyGROTpVniGL4XFmcCaASiOSc0ozsAI+Ynf\n", "NfYCD/TEiwe06lMyQAsXIqIzN92YUf6gPJiUfRH3OoyhPAd95Fu9HGQ5YM9eKg5a+4BJDZC4gT2r\n", "PMrhelQimdWp4ihW3gz+L0KLKS8uLkpYRFbH9vZ2QaGMyYpoEd3VKBwIWblra2sdQKK9Q6REpNiG\n", "w2HHRcczApQ3otU1YhyhY4WS5LYnIzrN3PXJ6xztO9ija5ouYVqBehafx+WgLtQyQDKdTkvy6uvX\n", "r+Obb76Jk5OTODs7i8lkUtqhuLcAA9tI5iVzZ4BE7x7PjrgHU5w0EnJy++oQv8lkUsZNXqHBYBDr\n", "6+sdoc/Jx70PZMWJZhLGbduWAxbl7VN/yH+6TxsfLSzcnyJMZSjefPLkSQHBGheBdnpdVLd7SThe\n", "9JIwPyJTSJ9CqYFvB+F6p0UvGopmmofc8ZYeQQl0V5qMozsYibinuUI1te3hRV96RiSv6E0QsNFL\n", "YCZzz1MBZ0rXAQiVTSaDamCkL0yjMssz4qEaeq+5aeL5+XlcXFwUQCJa0bPuoJsGi0oGoLJ3Xq/f\n", "yENc7SNPjYARV0rK68r5pvodkCgXRYDEQ1iZUa15TfoSODH8lIEBtakGSGqgLfPCEJC4MZOB3Fp5\n", "tH1IHKnzf7q49ZtPLDGrTwZaLTwkSFbP2tpa3NzcdBhKRKJCpBLWOTOfffZZZ0XN0tJSyT/RS4om\n", "4p4BtaJGnpHl5eUYDAZl4MR8tGI50FlYpOaZyH4TDf1FsOEKnnRwxewM6c/TZNGheK9fvy4raYT+\n", "yewci4xffFLwN7WXlr+7MSWIOKnp/pVwm0wmJaSnZclcvSBg6S5K5cacnZ0V7wdXKslbFxEFBLVt\n", "WzxvsmTYD05kKT09b2FhodxHC17PU//pReSYO11dwUgJSLg5v5HuH7uwTyq1ttWsZgcv9HowZ4pg\n", "T/Vl8ksveru4G6vnjShU43zFvCquyiEQYUiQSsH5n/2vAZHss4MKp30mU/gcjo8DD67Oo6xiLpYM\n", "PYEQvUajUZm/WS4c2+f80KdwXVE6z5AHNF4KszN0xBCggKwArn5nfplACE8ipteT8kDyjN590deN\n", "NwcYakutz31eL+chPcedCj6HXA+54dpXHgWQZBPECxsqZR3Rdb3TEqYwFTNPJpPOjpTKStfyUmcY\n", "t8YVq93a2opnz57FwcFB2QBNS/Ourq7i/Py8rBRhzK9pmnJWDQ+80o6g3I2Vbj16AegtoSvOgUfG\n", "jK68M0uG1jYVm64XKPNkR2dM1RURZXIeHR3FN998Ey9evIjj4+M4OjrqoH09g5NAv6n4OHECih8I\n", "rDKryBVH27aljbS8uE29loZLyEhxuOWjlwDJ+fl5AV1SJAIfTdMUQKIwsAIAmgAAIABJREFUnhJm\n", "OR50v9O6kZLiLpw+r6TYnJdEY3oFs7kpessyk+Bs27YA5T4l9amUmgWoQi9KBowZD/cTTZn7k1l6\n", "zp8ertEpvlqhJx5QvgH5isqbnhGe4EvXPBVhBhLcgKiFTGpKIwOxNUuadCa47csbibgHJFdXVyVE\n", "c3Z2VgC/wIhysTJQ4e0l6HTQRm+W80oGTlQX83woL7izOHM2/ARphql1AjHDPvKOcZz4fDfSZfRk\n", "XjyCEdLExzvzeDkd+UzXB5xHnEu1MfnogGQey8oJ6ROKgqSm0Lja4erqKjY3N8vk1eQWgKGlxImq\n", "PUe2trZif38/9vb2ChiREBDw0bbzGnRZsQr1CIzINSuhr9inM1f2uWa9uPCooU9Hv6zXGVXXil5M\n", "kMxeEfduRK2ief78eTx//jy+++67IkjkZeCqFU1utlFFY8TJTXDiQpaCx0EKCy0aZuhLkCtuzdNz\n", "RQcKIblrT05O4uTkJC4uLjq7rSrcIuEzHo/j6uoqlpaWOkrDx4KWmIArk+MIZBg/piChkBdtOcco\n", "5Ej7TIiQH8krH7twfvT9HxG97ea8YDhHAI4J3a6Ea8+mHNEyXwESbYDGucDwj0KoUtz0jsjIoufG\n", "Fax7BzIwQlmXfXZvWAZG+Luu9fnGuh2U8Dlqt2T2eDyO8/PzYvCdnp6WOSsjTsDZXx7uZbvdk+Re\n", "hBpvef30JvJkYSWs+1xkXph4ioCEZ+9IFsmz64AkG1MaI33z0/UcPWNOD4K1mjfJASXvZVhU/zNM\n", "/UkAEioOR6cUeFQ6rsB4vcCBM7demaWzubkZEVHicF4vAYW2h9/e3i57jrx9+7agYS7tirg/xVdg\n", "ZH9/vxz8x0RFKTQu8VXbXXhkNKIAIV1Jp77JqLrceuI9meXkblcp3evr6xiNRvH111/H119/Ha9f\n", "v46Tk5POUlq2Qc/XZ8boHXiy73ST+uRk/VIgFCDqi0JtCtMw/k9Aq5COeEzChEu0r6+v4/T0tAhM\n", "8YLGbTKZFGHCcM7V1VURyp4sKxrc3d2VZ4j23KZfvKs54/QVbVQ3d9WtCToKk0yo0/PyMcu8bt+I\n", "fkMomycR3WWtTNRzpZQJf8klLvMVIJFnJFtV4/lckkMeqiEY4Xj5uNOgy4BILWSTWb1OM9LOZQhp\n", "zvrpHWHum+aW5KrAyHA4LAdtDofDTsInkzmdD/w3yhKOq3tevV8+phx7D69xM0zOQQISyR4dgqln\n", "KBFeL67Q9HnqxqdoKmOJuRveZ45XBgxrHpJszEWTmieNddXkySxP6wcHJN54n9CMiWvg3RXvsUJ2\n", "jkQVw0Tc7/AqIbCxsVHyCLINdBSukUWj3BHtOaJ4n5iHYSXtxqqTfPf398teAW3bdqxruRy5TEt9\n", "10T2iVazZhxMOH1q8WUXJlQ2dLXyeaKn7rm9vY3xeFzCNF988UURIIyFZ8iZk7fWF46P8oOurq7K\n", "b1QiGnflaLilq0RiARLeo2cxmU6eCHoqBEi4Qufi4qJsgqc2MVYsxSMQwcTXlZWVB31tmqbkGCkf\n", "SnFoX07sSjIbZ82vGp1JR7U9U/ifknckE4SuhFwxu2XvwDcDweJ5KQgaPt4W1eeARMt7PVRDxSZA\n", "ovZKZjGJlbtRqw3ZmGftmuUV4efauGfeBNKJNI3o5o4QjJB/FQaVUUOviEKhMmxo/Plzs7F1UOXh\n", "FIISgois/w5I5Onmsl3pEw8JqY0CLgSUNG64Yoge98wzzpD64uJix5tMj6ADEspw1l3zGPXNjQyU\n", "ZAYwk2rnLR8ckLg1ppIJz4iuW4edzxCXFElmLShJ0Zc0qj6fPCsrK7G3txeff/557O7uFiAipcJd\n", "XhmqGQzeHZq3s7NT8k24E6uUqRBwZk24pdHHkGRM7wuZyr0SoiGFjyspR9H+GgwGZQIdHR3Fixcv\n", "4uXLl/H8+fM4Pz/vJOuSvlT6Unw+Edgm9V3XcK0+i3hAE1LgQbRgf+UB8Wf7BLq+vu4AA22g514u\n", "HhGgFwENJyr5k/RRXsGTJ09KYpyer/wBzx0g74tupId/7hMI5AEKGW+35sCnUDKl6N8z5eJ1ZAZS\n", "JoTpIaJioqDXczMg4mfViF+z5ZsyirS818+pUXtrQETvPq9rMiQDeKRRDYhEREeekHbqi7/0DClQ\n", "hr6VLyLPyMXFRQl1Sr5nSpHj58CexT0kakMNkGSeAcotX7npIQ/9JwNKhihppfQCnmGm9mTjpHcl\n", "OzNpX20iaGX7NQb0tLpxOMtD4rR32ZGBOdHDQXJfeRQPCd10RJIUdpmC5kBwBzvVyWVQzpTarEZJ\n", "gRQcFCQOSH7+85/Hzs5OWWVBQKJJIubRvaurq7G7uxv7+/tlVY0sbG6MRQVCAED6uFJ2dyr/c+UU\n", "8RCpuuBkeIgWgLtYuQcJ97e4ubmJs7OzePHiRfz2t7+Nr776qiSJel6IaERAwonM8RNNZCEq52c6\n", "nXZAgAr7QMvF+8y2yGuS0Yg8KGAwHo87qyE4aQVuyM9y3WbWJi0qgiXxmTxwWu3CM5C4RbjGiwLV\n", "3aDZ5Kfl5jTki9fSOnxfS+dDFPd+ZArZP/u9/O7/uyJywMq5Rh7T/PFlvvKMCJAIZDMkJL7zlTkC\n", "JUoup/JwXmS/fTxrYKTmFclokil8N4bYBveO8FnyjGh/nvPz85KPxeW9MnwyMES5l3k7yAOudEl3\n", "GrGzFLHzAsfRQQ2TyCUDmYIwnd5v/OZhu8xodEBCvlF9aktmuEqeuKfVaePAz+nhdK2BDDeMPylA\n", "QvdVDXUTrblwjXiYZEXrNgMjEdFhVKJzt8aVMKZQizZAW1tbi4WFhQJG3LXWNE1JgmWIRwmwtOoZ\n", "3skG1AGJgxEP1dQEax9NHNAQmDgYYchG4Qv1/fDwMF68eBHffPNNPH/+PA4PDzs7DFKpuTXIpay+\n", "ukD3aC8OgQ9aE7yOdHDrR+1wl2QmtHQN61J7tRdINlkzy033ZpPOFZD6IFDC3V4XFu6TGukh8Tmh\n", "uth+1su5RLBIHqzllGR89bFLZv31gRP+7tew1JRR5h1wGSY+JIDkjqxaIcV8MYYLNQbc/IxghCsz\n", "HER7X7NXDYRkr6yPGfDh8yIenqeSARGBASVzXlxcFK/IyclJnJ6elv2BZPQpFFJTYpz3Na8Raedh\n", "mwyQ+Pg7TTLPak0Gs/1ulFMe6N1lVDaWjAio6FnyptEbQsBMGe80IkDhf14yfeI85PrawUlf+eCA\n", "hBs8uRUzGHRzE7hEkdeSSBywPsVL9Ny2bYfBiR7X19fLSb77+/uxu7sb6+vrsba2VqxzJR7RTf/k\n", "yZMSquFurNoIR5OPz4zoxiVJEwcMfWCEypMTtm+iRDw8xZLotbaJ0WAwiJubmxLj/fLLL+PLL7+M\n", "7777Lo6OjmIymZTnZMhbFlFEFBBCoewb/gjMcTJx4yi3TskTPlHFIzXriYLUPVEUYC6YHfixTipv\n", "BysEyBJCyhXRfVJqXKlRSyolHTj2mlfyTpG/2A8qrBrIpRD9VApp3Qc0eH12rcuOGvjgf5xzoh/3\n", "HxIY0VJfeUfIM/QK6v7s4DzfjZXyjH2bB4RkVndN4WT8nj2TRmZNfonmMjLkTSUQUahGq018B9Zs\n", "PCK6hxFmXiO2UTQkHWt9zPrs15FOzmdqm56ZAeQ+OZ3JD46rwJ2uVSiZG/wpbUDeNckE7lXEsWTJ\n", "vmeg3b1vWV0ORmbN1Q8OSJQBTKalQsg6kwlHFwicNLxH9TFOSKUocCCrZH19vXhGdGaNvCaaHFx2\n", "JsI+ffq0rKoRIFlbWytEV86C+u/KIes3AYgnlWZKw4UjhV6fS1efOZkyD4nqvLq6ipOTk3jx4kV8\n", "+eWX8dvf/jZOT09LiIHghe2TIJLiFgChxULXpVY0eJ10tZK5KaydH9QGgorMqvNJ5e3PBFAm+HiP\n", "CzrSWy95z7RtPfN0tDqLSboO5l0gcn7QSs3ABGlIOmbzzX//mCULEdTaNUuoeqn95+Opz5yb7h0R\n", "GNGyf66GcIDs3jB5R3iUgSsvB5lu2MwDRjIFUuN1B7H+4vhQdqk9TBjXHiMnJydxdHRUls5r+Tzn\n", "uZfMKGC4ww1UnzeqowZGMkCSzYcaSON1pFdfyTyPznOsfzB4t8GmPNeSoQrHLC8vd1Zxatm6h3G8\n", "T3xGpoe9b/q/7+X3OoDLygcHJHQ1s7FiCm4sxo1hqGR5vwaEvzuxJbiY/ayiwVG4ZWdnp3hHlJCq\n", "kAaX/tEzwv1Ktre3yzk1OvjPM+czwcE+eR9c+dSsGfVH/ZuF/h2hk1EJSERDJZ0dHh4Wz8irV68K\n", "GGGSqtoh5cbwCT0OBBUupNk2LoVkv9RnXad3/y8DZXx3t6hooHbq2QSSFNLOZ+Rj51EXTBScSp7l\n", "aprV1dUOH3lyc9Pch2vc+nJvigtqjQ/BnjxT6iutGQKXj12Y6JwBLS9Zm/v6UVMgrgQ5b+TdEBiR\n", "p9RP8mXIUryn+aa8E+YLZYmsmRJ0QOBeknmURa2PffR1IJuBHCabKzfk5OSknG8l74hWL9J7yjbx\n", "s4NDNzz5fyZvM4OhJiOy37J3pwvHJqM55TANw7655jKP9Wg1IQ078bJ4lOd0ebs4jn0l08e1wrmU\n", "0bRW5gIkTdNsR8T/FBF/PyLaiPhPIuK3EfEvIuLvRcRXEfEP27YdPniAbebERpLx9E7LwTtHC8kJ\n", "40vMGF/PCEEPhwDJ1tZWrKysdPIRKETati3uWW0Nz1N8nzx5UvIdPG9EbaTQ9/8dkMwLRjhBs5iq\n", "K0YHKe4d0TN1SN7XX38dv/nNb+I3v/lNASkcTz2X7XR3JNvnrusaeOCKGbc42BenJenh9MsEFr1S\n", "pJ27N/ksgQcpe+2R4tZF1nYJUoUzldCopEZ55gRInBfIK2ybe31Ic84V8pn+V18J1H5qQPJj5EhE\n", "d98ep2tN6PtvohW/67fsd/5HmaXruF2Ab4KWARICa66q4ZEFBCR8rrfxh7x4b9bHmjcmo+ks5SvP\n", "tDwj2kBRnpHhcFiW9vLEXKe5gxG+u0ypeZFq4zkPAMl+m1cxc75mssF50A2MrB3ed+aHeDhQXhLx\n", "lIAJ5cc8oKQGJGrgKevXTwZIIuJ/jIj/vW3b/6hpmicRsRYR/21E/Ku2bf+saZp/HBF/+v2rU5aX\n", "lzsbx1DQ0artG1QBERfyNaSbCSwKLg+3aGdVxXu1fbHetSSTrlkdmKdEVlmbvsum2lsrzqzZZMkm\n", "e22i8no+Q3TkBGnbtgPkpKCkDA8PD+Obb76Jb775Jl69ehXD4bCzUsTRtntoPJ+D7cyECNvqHg89\n", "IwOvGX0z5vfxED+SNuITup5JH2azU3g4cCHtSW8KewpurdrR7rYMCSh0I0uH7nC6X2sKVrxZE6pS\n", "eJmiqdHyB5YfLEciopxR1TRNx2vp/akB+kzYq2S/sTiolKDnjqzKH+Gqmra9T2DkpowCocwbycBI\n", "3xz5MaCE9dRAQFZcTnvd5HGtHDs/Py9gRCtqhsNh2RLewzR9QMQNMH9lstPb3dffeUCJf87o4OF3\n", "D5/pfhq+zJthjgjbyiJ9I1Diieu1EFrbtmnicQZMXIeyjhoY8e8EIz8akDRNsxUR/17btn/y/QNu\n", "I+K8aZo/jog//P6yfx4R/zoSQbKyshLT6bRzBgGZDM9Jc0my786M+o91+/pwMsny8nJsbGyU3Vhl\n", "1TDsovXwOu9EKFNghIms2nWTG2gRgKldrkTZLvarhiZdoPiEonJ1yzYTSBHRyV1omqac03JxcRHf\n", "fvtt/N3f/V28ePEizs7O0nX3ZHgXvJog/sxMkNQmg/rDUIVbQrW+1QBJRj+nE71G2qhqMBh0Vk7R\n", "g0HPFwstkT6el2C6uLgo/KtncBmo8gv0TNUjxZe5f3UdrXO1TfdqzCioCDS9X+9bfqwciYhYW1uL\n", "6+vr8t2VFumq9xoo4bUUsLOErMaMG5gJkCgZXnkjHFfOHfGW540wkdXBiMs572NfeKaPHlkfnb4Z\n", "3ZwevEf91dJeHbp5dHQUp6enRbYqidX1QQ1wODjhewYs+kDmrP5mIIWfM3pwHLKcPK5eVD2+2lB5\n", "dPovohumcR3q+pB9pz6gN6Rt25L8ShmS6Zes35m8rNHxfcs8HpJ/KyKOmqb5nyPi9yLi/4iI/yIi\n", "nrVte/j9NYcR8Sy7eWNjo2N11xIu6QVxReHIM/MocHAYw+e9SiDTUl0BEuaARERcX193duKUoJY1\n", "tLm5We5bXV0tgocHsKl4f1y4cUJn15ARajFRFqcTQY/+132iCRXW1dVVnJ2dxeHhYTx//jy++eab\n", "eP36dYnxeuKY6B3RDUV4DgkZ2K2crNQUt09OTg4XJn2AxPmHdBZNNGmlbBYWFjpHhlMgEiyR7wTY\n", "dJ3nSBFMiF6s5+7uriRK+lJRAkn1xQW0060mvDmH5A1yOv/I8qPkSER0ksa93c5HBGQ+d7K+cJ72\n", "KV/KEfeOCDgqEVnjShDr97t3hJ5KByQ1MFIDWTVgUis1OeV1Z23QPZKD2sdnOBzG6elpyR3RDqw6\n", "UoGy0gGm06AGQGrtncWztXpmgZEaXdyYkRErzyY3JlNd3IZefMJx4mqdTJ45UMja6XqDclfAmcCk\n", "j17e576SzaVZYzIPIHkSEf9ORPynbdv+umma/yHMgmnbtm2aJn3S2dlZR6nLyswUsxhaBGNGsK4j\n", "g8pSySYFBbcEkk7f1CZm3HNESUGaSFxZI7c5wYjyTbQtue7NJhiLDxDRq9rsK110Hy2RPouVTJoJ\n", "IwpoPV+K9uTkJL755pv4+uuv4+XLlzEajTpg0icBFWrmMmVba4LDlbODUd7rwIFjzusIFGrxUdW9\n", "sLBQLF0Bi8Fg0LF819fX4+nTp0Vw6FAsHSWQHf6lZ3iYhnyZWXxaoTUejx8AOPWHJ/LS9Urri/zg\n", "QDUDt/77F198EV988cVPAUYifqQciYjOnjdS6IPBoCj6Wcqprx+ueLK6lO/D0C1P9nYwohUQflAi\n", "vSsequHz3Qtc61MfAJkXmGRyyhVK9psKw9XKM1N4RiEaeZz9bBqvR7Tz0G4fmO4rWbtryr0GQOYB\n", "Ix7mVV4YT6AXQFF9PBNHL4bCucnaPACLXmkHjw74HIC7THB6EfSwPX3j0rZtfPHFF/Gb3/xmLlA8\n", "DyB5HhHP27b99fff/7eI+G8i4lXTND9r2/ZV0zSfR8Tr7OY/+IM/KAeRKataKLCmdOjCd+BClz0F\n", "c0R3nbkmv+4bDN5tgra5uRl7e3txcHAQn332Wezs7MT6+noBJDp1UoCkbdvCRAIkOzs7sbW1VVbk\n", "8FwCCceaclZ79O5CggjbgYrokSHhTCD7c1gISJrm3VLbi4uLeP36dUliVWY8BQifpxeFSDbRPQbM\n", "CeDJmeSDTIBkYIW7HDoN3PNGuuj/hYWFsmqqbd9txNY0TRlrLeHUpm1yR/Ml74m7r93lrGfWdoCV\n", "Z0ltINAjb3hIRmNJ6ysiOmNCuvu+Jpmy+uUvfxm//OUvy+9/9Vd/FT+i/Cg5EhHxe7/3ezGZTDqn\n", "pKrtpLWK97tPgPr/vE6FCcjZMl/ljkhO0frl2Dsg4dEA7hnIjAC1LRPu7wNKsrmalZqSIo3UX55N\n", "o7wRyf2Li4sHh+U5/SkrPPHdx6TW/kwR94GpecBJVn9Gb80trcb0nXcFUlQ/Pa7MHcueS8CR8UP2\n", "YgjXaU35kYGRTL9k//H5Tu+2beOXv/xl/O7v/m6R9X/5l3/5YAxUZgKS7wXFt03T/Ntt2/4mIv4o\n", "Iv7v719/EhH/9Pv39CnKQKc7WMlpPBGWL3aGxM9iqpnicoUkj4PyRnZ3d2Nra6uTN3J3dxeTySSG\n", "w2E5A6dpmuIZ0ZI+5psoNMQ4oIOHzF2mQc2Agu71hKQ+ZJn1n78zV8CvFwg7PDyMly9fxrfffhsv\n", "XryI4+PjzsnEVKIe01abXYhkACFrqysRji3j6ZkCyQQHn1ND5QRjXGIpb8ni4mLs7u7GwcFBSVbk\n", "LrISIhK+i4uLRUkKpEZEWcrofaeA4Ng4KBEgpgtYOSQOKr2+muDmb6QTATCBY62O9yk/Vo5ERFnh\n", "Rst6YWGh7FuT8Z63vQZK+sCIeIiJqFpR4+fVCKBTJnAvIlnMWlEjq5nJyZlHIDNcZv1WU5zzFgdy\n", "GRhRX3XwpPYZkQGqlTTyjDDPSXU6zR2IcLz7eJrtcgBSAxd9YMQVcu1Fz5lenlskwMocsIgoG29e\n", "Xl7GZDKJ5eXlmEwmpR7uEE4D0D1LbKvLZp027oem6p3yr+YlmXf+Z3rcQVNfmXeVzX8WEf9r0zSL\n", "EfH/xrvlegsR8S+bpvlH8f1yvexGeRaUla4dDTUA3Birb8LQCneB0xcfbpqmPHdjYyP29vZib28v\n", "tra2iotV3pHRaBTHx8cFkPh+I77HgKwC7jZK4aHn+4CQkfuECpmHSqaGdLPJ5AqLIOnu7v7MlufP\n", "n8dvf/vb+Pbbb0uslzQUKKLFTqWg+rn5WS2J0z0GGcjQuOo3jfmsvnICZPyk/vuEjHgHHuRaFa98\n", "9tlnZdyV8MzXxcVFOVFaioU5NVIuao/aUEtSpJDX96urq07egXZh9LCb08a9Rk7jjOey/9m+H1l+\n", "sByJiA4o0zhSEXhStYcRvf9ZXgL/12fxiisaARKBC/ERvSNaPUE3vuqQcnJvaJbI6qBkXrDRB1Jq\n", "JZOlGZ9qvmebnh0fH8dwOIyzs7OyUpE7XbNtPia1F8dvnrYT7PBeB0FZvTUjJ5tz4g3pGYFW7trL\n", "5eA66TsiOuHf0WjUOeGb2zDQa6Lw3yz5SbnTtm0HkDDplp4Zelt/qpIZXrUyFyBp2/b/iohfJX/9\n", "0ax7tURSbioChOXl5RLqYFJPRuBMwKo+hW8yAsgq0Rbx8pAokVXLpaSYlcg6nU6LtSymkldF+wtI\n", "6PCkRkeambBXyX53kOU5JpkSnucZ2eR/8+ZNnJ+fx+vXr+P58+fx9ddfx3fffVdONfYVOGIoBxNu\n", "2WQ7LWaCUXW5sPOxp2eM4CcDI33PE13d+8QJqSRWnd6s/Wk2NzdjcXGxjLfelX8kPiPNsoRSAuua\n", "giAoadt3bl0BEq20oWtYGyMxkTl7+TOy+cIxeR9BMk/5MXJEhQpA80N0oDdCuVxZUiBlyCwwEnEf\n", "4soSWbnniOeOUAHzfq6W4jJu53XKuEyeuCFDGs162biU+zIQ4vQn7RSmmUwmcX5+XkDI6elpCflq\n", "R2d6OlwOZHKewMzBWdauGi0y/me/a9dm8sTlB8EqPZgKxwm4ahGEwjeqT4BEOzbLY0ZQQqDAfvbl\n", "F6n9lCUKH3qSLc/AEXgmcKsBetLMdUtm1MwjQz74Tq0nJyels7Kcnzx5Ejs7O7G3t1dcUsrIHg6H\n", "D5S7W9TZxHIBI6aRgpFnZH9/P7a3t2N9fT0WFxfLhNJZCmojFQDdbkqk094Ruieie4CgvhNYZAyu\n", "NrMPPtg+4J5T4HW6UhJg00vJZ2dnZ/H8+fP46quv4ttvvy07sPpmOxoDPk/Mq7FxF3UmILL+qTjo\n", "UfGkNirdzPWrl+emaJXU4uJih7/k2dBOmfKG7e7ulgMT9dvy8nInnHJzc1MUkaxnKay1tbUYjUYx\n", "HA5jMBgUt2sfSKiBE/GowkICxIuLi538GecRz1/JQAnHwuvg2HjOyccoShzmaiNZkARnDHMq9JqF\n", "cWqgzeepr4phorOf5MtTndVOelf0qp1Vk+050gdGnGcyYML7Z5VZ17iCm0wmD1bTeAIrwzRqj9PZ\n", "wZi/EyTXwFfEw5AD6+b4Oj3EI7wnu15eOXoa3NvgwIQhfy0NV11v3rzpAFQmwDIJVmFbhoP7+MVB\n", "E/mMnkS9y8PI8I2Dzxo4ob6pgd15+euDA5LT09MyAcVYT58+LW4sJfWcnZ3FdDqNyWSS7tDphMgs\n", "bb9OikIrawRKdnZ2ygFm2nNDS9EILghI5H6TAqKrks+jJU+GkMB3CyEiHiiMbGBVMkBC5ZwpdSpp\n", "7Sar5b3Pnz+Pv/3bvy1bOV9fX3e8B1REEq4SvpoQXO6sV5b7koERfuf1sjSpcDn2LKRvzRp68uRJ\n", "sWzljdPvCiMqiVWeEQKSnZ2d4mpt27assJHAkPDxpZxN03S2y89WC9SUjO4hkGe2vgASk7wdiJJ2\n", "tHocwIl+WXhwXmX2oYtW66k/FLrT6bTkkfjqNJWapVcDJLqX4WZfXUPvCEO4mhNcQs5VNTVAwg3f\n", "1AaCCv5WGxM3BvoAzCyrNbNwxZMyyC4uLjqeEQES7lrtOUnO5+TZLH/E+bAGztwAVJ0uE71v2feM\n", "H+gR4f4i9NQJlHCfGj/jSNcrH42ARGBEHjTfQTsiiofVAbbrHX7W2HEHchqRvurJ63f5mhkvTj/W\n", "kY2Blw8OSHRWgU7BjYjOSa5iwCdPnpSD7vxsg5oQ4XdHibRKtOdItouissJHo1EJ1Yip1tfXY2tr\n", "q+SbPH36NKbTaWepFs8w4bPJEJ50yML7NHE8mTVT3uq3r3wR49Ejo/vF/MfHx/Hq1at4/vx5vHr1\n", "Ks7Pz8uqDtGGjM1YO0MOztQUpLomExaZEJEVEHEvnLXKiYBPkzPioZfGcwK45wcVurwibom5AFQY\n", "RgCAyWiZsBK42djYKDFhhRaWlpZiPB6X/Re0Vbb6RWHGnAIKSXqrfExI61mJxcrjIf3divIxmiVI\n", "HqOMx+PSX/ECeUrtFx0zD1FmYdfmpWjC03i5AZqSnzV3ORfcA8dQTW1r+GxFVN+80f81Je0e2vcZ\n", "S7+WYEEJ3fSMnJ2dxfn5eYzH4wd7Fun5mSc4A88+jzNj1MfIlbDazrnNUvMaZbol4mESOues51+w\n", "Lj1LPCk+IFDlNg88JE8eXckehnGapil6iLlS9NjQqKTszLxyvprJx9+jFOqf6yafZ278zCofHJAM\n", "h8POjnUS2prAHFAtvx0Oh6UDvkV0xiyZsKFVotU1OjxPSmI6fbeDrLaJ1/bdYhrlnWxvb5ekNSl1\n", "KRaGJzj5yQz6362EiO7Ae26DKwm3mmgZZ5YUizwZWlHz5Zdflk299ST4AAAgAElEQVTPxuNxcXVz\n", "crCNHkLLdhikQHWk7TkxBG7iieXl5YiITr0cV1oneobcnlS+FGSioz7LU9e2bfEUqe3eF3nJGNdV\n", "f1xACrysrq6WnKjJZFLGiWBjNBp1Jj+BjywkLt8V8JMwqVmU5DMHJOQfpz9pS4/KLDD92GU0GpV+\n", "0xKllUpFlL1Ev1nK2fnN3e9arivlIICuUI1oyERWeUZ8VQ1BNduTgQkqY2/vPGCEJVP2Wd26VvNe\n", "e+TQMyKvyHg8LoaaJ3MTlPD5tbFyMMn7XNZSbrmxm/WH9PE+ZsDJDTzKaiaekv/8eoINtVfzWrKB\n", "oR7xCsGI+jedvtuav2mazi7A9KiQJqSLeI/GjIfGMkDioC4DI/zNZaQbA1n54IDk8vKyY2lo6aQG\n", "TYJe13BnO24yJSXBDqr4hGJMX7E75Y1kOSCKdUoJab8SeUcUqhFAUt6L78jqiN0FwTxWjjMQ+5dN\n", "THpVsvrozdDeAC9fvowXL17E4eFh2fjMY6OagBQIYkq6pf3wQT2fbXO07B4BWpBt25b2cF8PTmh5\n", "2yQgszCICxZ6dDRRBUoETJumKc9YWVkpYR1X3rrOQ2cCJHLXa2WBklJp3ajtEnaaB8rOF/hp27YA\n", "HNGhJrglfOn58fEjv9ILU5tPLnQ+ZlF4tG3bslRfQjjiYT9cQft3XuMGjlu1PJGX3hGGL+kpjLg3\n", "inzbf98e3pUv21WTI1kfM/nj93MuZiVTHGobE1iVHyVAopwRyUXxWs2CngVCat4Rp43LEc5TyYas\n", "vx7KUNHzeF+mXN0Tkclbhpx5H3dsdU8G5SHPr+KJvRoTgXDu66I6JU9YP4Fhlkg9y0NCOri88PHN\n", "aD4LjEQ8AiChFU9BqYmiQaOVIUWvQdN6bBLLLXj9p3oFKnZ2dsqSXZ0z0TTvTrIdj8cdz4gUA/cr\n", "0Q6Mg8GgWAdSOGpjJjzIBBlidlBChvTMex/YbII4CFF7hJ4nk0kcHh6WHVhPTk5Kvk6W76KJlYVm\n", "mDPiblkXlln7BC7oFdAE+v/Ye9cYy7btvmvMqn5Wv0/fPueec2LiONeRnAhQTCQShBSFGAhSFPgU\n", "gnBkIsgXENgoIrGReAh/iLCICAIhBEQ8IkGcxJEVAwIu7w+RYse+99q+9557u/t0n37Us6t2vR/d\n", "1bX40P1f9dv/GnOtVX26qrpz95C29t7rMZ9jjvEfY445J62f3d3dFjj4PLzKqPop0KvmSXvx4kVs\n", "bm62U4NXr15ty3NwcNAuveNGVrdv3255g1a16kAvhniHPHz58uVWSKv8FCpqRynYqampdspnZmam\n", "bTttBsYATQalUcgzXoWCsMs6cSCX8ZcL7rMg9jF5U8G9tB492C9i3FJXncgn+hYPSjkQjAhcEFT4\n", "XHxEjAFUTvEoIFl51cBIBihYB5F7HmvTF3x/KBgRuCUYqXlGaNSp/WgQRBy1yCVX3ELPZB7L6ICE\n", "hgo9ZdPTh6utCMYjYgwMMF3nr0zxKm8qe/anbwdPDwbzyryPqhM9IvR20EjVf8UFKjiV04QCaZJV\n", "LL97kjJAIuoCzJQfmR46Dp0KIJEQLeXQvaQG4RkeVHyyQtVh3EKX1o2+KUgESG7cuNGeVyNAcvHi\n", "xXbqYjQatS7Gg4ODVkFqDwoCEipjdj4BCT/u4XBhkz3Psw9oQSmNLnILiEpEynh+fj7u3bsXy8vL\n", "sba2Fjs7O2PgyQGUGNXBiOqvQeaCj4PMwUjEeJCgAkA5769ycJtlTusIIMrDoUBct8ZEBCQCN1eu\n", "XBkbkPJ6cQfQTz/9tJ2WI7+JB+mqVXyHeF4gSV4S95A0TXNk2k+AREsF6Vmcnp4e28tBFjkD0Tg9\n", "Q++NC4mMHJSQCP7PkgQUxQ+u0KgcsimQiKOWnwtMyhG5yjVV494RKV1N1XDZMfnbz7nxceaBmzUP\n", "R1ZeN4YIRnzqtwZG+tqD/KwD8wRIeOYXt8hXmXz6g2DEg9YFZmqgJAMjkhsMAlVdpUfEDyQafhkY\n", "kY7Kpm9cZioekeBSYISgxI036jH9V31evnzZ1ofBrQQQBF5sD8XKcZ8bARL3PDkfcqfxDJCoLTIw\n", "wv5i2scBJScOSJyIIuUuFypzS5wuf7mjeBS7Kso1/+pYrYzQ1vAKSGRAlsCIrCw/50bbw6uDMqQb\n", "kc9HuiJw0FQbWBxQ6kwfTAQbLmg4AF++fBmrq6uxuLgYc3NzMTc3F6PRKHZ2diIi2oA8twLEfOoL\n", "bgTmAod5kuFdUPoA5uDhUjn1uRSM0lX9NNg0GOQFOjg4aLdxp2XnlhStVikS8Y4EGAenT0dlRBco\n", "24N7mpBP1LYSJJqO0XsS1iqr7gmU6HmVWeUkL6gvyA/uLXALjwIz4+GzJp9+yoSoZElmhbvSd6OA\n", "XiDFG+lkcIEKro7hGKG80jSPQIhP8aguHucT0T2ty/uirjHm3pFMwWfENpZnREHaAiAbGxut94+r\n", "aKSc1R/kp6zvHJBlIDqrqytgGnMOwtTebAMPIK+1xfT09JH4Osaq0NOv9Lt4j32YeR3VhtJlukZj\n", "g4ag9z+BjctWb3t6gHid6YoykOhghDJHckjjhOCui04VkNB1J2Wg36WUtgOJKEXqKMWFaEllxOH2\n", "uy9evGgbU94RLvEVctXaea2skfK7du1aC0Y+/PDDdt8RMQQVMstFZsgGlQYp24BghlM1BCS19tN7\n", "YhgyC62DFy9exNraWjx9+rTd9EzLq+UWVPndWhFzSmHLK+JuP5aNn5q15h9ft09w6l4PeTdkZcpS\n", "Zr2lVD3QU/VlwLKErXiH3gsXKBkgYV/SQ0IgfeXKlXaQqy3E48rHeUP9oOlDt6iUvk8VuLXmFpG7\n", "jNWejINwkN0lrE+bKNRZXpVP7UyLjx8KRB+3rKu8UpoedEDi59UwAFu8wOXBAiRSgD5FkYHFDJRk\n", "fZGBkZp3JaIOSghkVTfVT4BE0zUEJH5woPJwI4W/s36pebO8ruw3N+S4XwfBmJdBckPvEpTzGY4P\n", "9avHfGQeFuk0jc8hgIRySs9yOTH7iGk53+ga24Xn56j9GZ/p3ivxDfvR+6fGr/6fYERpdtGpABJ2\n", "hAtWehyyZaSqpJivawAyYlmxIwIv586di52dndY7Ine5Ok+CRwfn+SZoZC5vVBf4qmtmzZDEgB4d\n", "rrbJXGxu9TB/0cuXL1sBsrS0FAsLC+1qGjEGXYBZ2WjxOON6nvxNRnYGpZXhVg5RvBhZLnPNAxMI\n", "cZBqdY74RwKVK6C4P4is3Gy6iW5T3y1RbcD+c9DEtpRS87bSNBNBIOdv+ZtAimBd7UzgpLzJj5kV\n", "Q2GhMSal4F4W562zJI4vetIy7wGtb7fAaXm6gtNH3ik/GM2XXnNVFt/l9vA8PE/vZkGPrrDYXyQH\n", "KZSB2TRN19ittbOMEXpHtGeTlvbKs0jlKuXDMZF5o7o+qqOPJ+qPrM985ZUDEnoI2E56V/KHbUOZ\n", "QgOKway1/mF5vU8y75UbX96m7Bt6YQhsdd95gjEkGRAiWGEb65kMNNe8I/RMk6+HyJJTBSRsHFpz\n", "EhjqfH3cEm+aw1UuEdEiPwkBrvVn/IeeUXAnA1nFYFqNw1gTvSMvgU/ZqEy0xsUIEYedTdelu/Y1\n", "iNz61W9aD2xH5q82ooLSlvDz8/OxvLwc6+vr8fLly/aEYu7FQgaampoaC7SsIX8HTCLOj5NRlTbP\n", "e3EQoJUlqp8sTN96mu1QSmnf49I3rsoSINGmRO6+ZDnlqpdlq5VZBG+1Qc1pIn00VUilI2CsaUsF\n", "S7tblkDDQZLznzxKrIvzjQsD5evxWZlF5kL3rIh1ISjJrHJOB7i7mLxHHuTWBNzITNPEEePTQQws\n", "npqaGntP4DebqmH/etlonYsc6GcKj+Oq5r1kG+o3+5ZgRMabNo4UGOF4lEzj9Krah2DEvRuZt4tl\n", "clDjfdYFTAj+KBfZ9g5ilQ6X9ksWEpBIThH0OF+pDPL6ctsANz77FLdkMD2/3GGVv6WrVA4HAGwT\n", "5wsfM+4h8bQcyFAGUn8xnXcCkLDC6giiSyK+zMVFIUtAQguSTKLd8Nw70jSvlpNyZc3BwaulU9ql\n", "U2eWaPM0MQDP2fEgQiqRUkoLcHzQS9nRoiaT67p3qBgxYwa64Pm8Anbn5+djcXExVlZWYmtrqxWY\n", "Giz0/mhAinEE1hhfkIEx/uYAo1AiYnfrhcpAwEz3dQgjFYvK4fOlHLQKCiMgUbDozMxMKxA9wl88\n", "yt15a4BEfcd6sJwEJG5paOM/TTWKFzmNQ6XVNM0Yj8u7422itqOAIe+48JTicWVB/tQ3FdxZUWbl\n", "u3dBvx2QuCB0ReDAmMDCQYUrA19ZkwEZjlEqkGxMEYiwvK6Y2Wc1z0it7bxd2W6SeTs7O+0S37W1\n", "tXa/Jm5aGXG4YZ/K6F42Wu3OkxGHCx+8rDUvSQZKaOzSC8vpSHm0XNGyHZ0/FDztoIXygDyouvvy\n", "XQamsswOuvjtsoX8w+l0frw92ZbKMwMgelZghLLTPSSst/ez9xF1N/uzRqcCSERqTHWcNw4DgPi+\n", "FA3Bixhrf39/bFc7MZHSFphYW1uL5eXlWF5ejp2dnWiaZuzQPQEYreCQwNGSS62vJ2BiFLcUlLsG\n", "eT9D+u72yyxRtpHuq35s4729vTb6XdM06+vrYwqcg5YAiYzJdpaA1N4fWmLpKxzclegMzEHBb5Zf\n", "bSjeUJyHntN5MKPRaGzjILdK6K0gaFG/HhwctF4KxRE1TTO25PvOnTtx8+bNNm5A5SLYYF9mwphK\n", "XIHT3PFTQbgC2JpC1P44KqP6isqS8TyMnaKlmvGNC/SMz3xaMuPJsyAHHS4IeZ2KzxWgC06BWV2X\n", "0uHeFhHjQb/uKRT/yRrmEk0aFfJK8SRgr5fIhTopU8o+rrI282v8LwtbcXaaohEQkWeE7eR8pTqS\n", "zxzYOoBQO0xNTY29K6DnhpcDMgdhlKsas/RSsx0yjwk9hIr5YfkJ+inrZTjIyNV28b6zL0EJZWPW\n", "R0pTeUiG6AycmZmZVk5IjrE+LCP7Qm3f5V2MOLpowikbg3rP+VVl6KIzASQejEZGduZwDwSZTihR\n", "ng4qJg1kzYPqMLnRaBQvX74cW8onQCLvyPT04RkDUhpuEVHpqjz0jNAqIBNHjAeiOVKutaGj2cyN\n", "vre3FysrKzE3Nxfz8/OxtLTU7sJKS4rBXAQkYhYBGOUrQMKAPMYzMBjZg9RcMVOI+CCkINGgVjoE\n", "gaPRqO13WSP0HDA/1TficFWKdmdV/+7t7bXKXiutBEjcQ0LLmvzogs5J7SZBwmWkimdS+2oZs0CJ\n", "vHycttFY0rd4n1OGDoxdaGdWdGYJkXfPkig49Z9tngGRzEtE40bXpqenW7nEdhYgIWh31z9Br++q\n", "Kd7luBEg8akKH88EwDWey8CIp+PtxG/9Fh8JDDOAVaCEW8K78ZCB8lpZHYyo7WtgykFaVne/xmkk\n", "toEbtiyvf8vApLJl++oeeUyyUtO98tg7IPGp/b46y8svGcaDGvWRXKNsZPnIV+JX1cPBFetM4zcb\n", "fzVQIn4gIOqTIycOSBxdZb+94TgAIw6PEPeBJYEgRuC+/7KG9/f3W4Qv5aPBwJMVua+A9iXRHOrO\n", "zk5bvmzlRY3xRQ4+MpedU5aOrruVrrNRFMA6NzcXq6urbZyMysigLw4KCQQPEHzx4kV7j8JdwOD8\n", "+fOtpedLZiPyM1FoZVDQ6z0p3lJKXL58uc1LsQ7ykmizsYgYWwmlwat6EHAxLaUjsKYAxjt37sRX\n", "v/rV+Oijj9ojA7jyyb0kbrXpt/c921qWtGKetN28BL4sQwEYxtboXRccFLLOLypTBgQzT4jfz/jw\n", "LChTtO42zpSvv6Nv9ZnLHV+5QSubHkAZQg5g6KFVH3IKzje0c6CV1bs2hmqeEdUx+/BexGHgpraE\n", "114jvryXS5u9HAQkGQChEqQM5W+fdiJlBlitj9lm6gdXutwtXGOmBuj8v3vBBWq03FueEe70zRVa\n", "PnX/Jv0uA0r6TrqMW2C454N9w+l5ByzZuMrawcFJNg5r/FejEwckjjIdbGQFVoP5MyLvJIERnhcx\n", "NTXVWvBra2uxurraNjy3g2bkvAalPCpSEtpWPGI8rsMZhLExHIC19esZ83ubsL50n1GwbGxstDEj\n", "c3Nzsbi42MYjcHB7QBZRuoQsvSi+oQ8HNVc0MfCLwI39Tfeu2sUtTy29pbv85cuXMTMz0wISTW0o\n", "QJmucypUAhFOLXF+XADs4sWLcePGjbhz5058+umn8emnn8ZXv/rVuHHjxpHdH1X+DHw4OZ/qGqeX\n", "JEh46JbaVqCQlpzahwpSY4tWiltfVAriY97jsyzvuwJGnFyA0vDJyptZoRS65FMH7RGHAdO+oomB\n", "lHxP+XAVlU9xsuxuoXd9MuMmA5P6rgES8ZDiDxjEqo8MMho3LCcNC7Vlrcw0fDxOSjyv4yJYH8pB\n", "t8gzL4Wep2eaweU0mJgO+yDjF5HnxTGteER53RkKQFlS846wvhmRPyhHBEx44B5nItxAJlgTcHbK\n", "dG7228tfa7chdOKAxN09QxWwz4W7K5mDWMsruURPKJgb+qjjZGV60Jnc5VyJk+3xQIZ3a4oriPRf\n", "39mGOhkDZmiSjEUm2t/fj9XV1RaMLCwsxPLy8pGVTGqnWqQ3p5gESHyekR8JEHpIdJ0eLVduDuZ4\n", "nZ6nUg5Pz9W5MnR581tlYp3VP5xKYj7y6Fy4cCGuXLkSH3zwQXz88cfxySefxMcffxx37tyJ69ev\n", "H4mmdx6u8XOX1U4Qzb1RNG3z/PnzNh8qL3ezCsTRW0clS6FHUCgBTOvRn+2z3s6CfKy4zPDxUnsv\n", "G3M+lrnkm4DCd5oWn6ovfYpHfaf3sykkVzJ9gMSfc9Dr/OdtpT4nQOe28NnmZ1p6TyMwAyRqS94T\n", "EFGwOfMmIFGAtRusnJbkNQcGmczkmFE/+DSwvjXevD2dCPyVh8axTojXppya9uWy8S5jlHl0XXcA\n", "TUCieD+Nb7anG0nkUQKsrBw1UNJFtb6p0akAElJWMDaev8PGoyKTspKLTGfPyD0mVO9BWL4cS2nI\n", "lagAISo7WkAslwab0iH69TXxWXR1ZoXyNwecM4DcqxsbG23MiAJ23UrWtx+2xLJIKbFMep79xaBi\n", "DQgFbLLM+u1TJV5HDWZdl4tb/S1vFkFORIxZbZwzdcuNK1XYHrJYJEA++eST+OSTT+Kjjz5qd/dV\n", "gKxb3tmA1XOsPwGaB0SrHFJmMzMz7ZSUQKQLevGw+lJ1UrqZ4vL28PLXLMN3EZDUwIjfzwBjJkA5\n", "daupM8X1MEieCpSeRHq5/OC8iBgDih5z5kCEnlZ6XGnIuFHT5fqvKQGCEXlAFTOiINZsrxG1Yc3z\n", "4R5EjT39dm9G5iXJpmsywNEFQjJeoaeE3kXxfnYmlPOR8xC9vJIjMmx07Iima7Rqk4ZNV5mzmA6f\n", "KnRA5KvDZIxpWtFjVvSRfKf8cv5kv38ZGTHk+VMFJES1IlrK3mD87Y1E61kbmt2+fbsVDhLS3PGV\n", "XgLOuwmQ6HlN2UjgU/hkFoymieiqda8Ip6AcZOkdV3yZV0j/NRWlvUbm5uZifX29LbfqSyZyDw6Z\n", "zZGyhK63vRQrhaLHMtAVTMETEe3AjzhczcA81QcaLPJ+CQBSwcpy0hQMwZvqSMGj/lD/a3n47du3\n", "4+OPP45PP/00Pvzww/jggw/a4wbc0sysaweWdAV73ACXeapMFy9ebK+rTxgQ7WOl5inocpXrN/uA\n", "nhLnS9brXSYfM6KsHv7NnSzpYeUBelKstKTV1jSK+k7ydR6iHKEnoQZG/NPlHfH28N8cZzy9V96R\n", "tbW1sZgmyk/3zqi8bnWrjTjFzbagdyLzOrEe7lVhPTJg4volItoyujeA7eIB+Rk/sd48ikIxI7dv\n", "3x4DJPKOUHcQALCMEfUA0wwUU85Trqkt/TgVB1TuBPAYwgw493lGhnpCanQqh+t1DU4KQ31nglHv\n", "kBFu3LgRN2/ejK985Stx69atuHbtWpun5kS1pFKWOJlHiufq1asREUfOatFg43I+t0yk6Llnh8pZ\n", "C9JyQJINqJo1roDO0WgUS0tLMT8/H6PRKLa3t1u3pgetenuyDG5J87rydDDgwogDhVtpa108+59u\n", "a7Yx9w6QcJBAi4hW+F+5cmWs/IxhqQULqi3kUlef37x5swWyH330Udy+fbs9vygTYM6n5M2I8fMg\n", "KPhlBXKDPU1xUbERAOu+iAKbXjiCQXcHuwBV26pdM76g96bLAn/XqM9b4tZeKWVsGbZWRWivGi71\n", "jogjPCvPne85wuW+Pq6Vr8sGnyZ1b4g/Rx5gHb3umUzROHn+/Hlsb28fWd67tbU1BkRY5wzwZrJD\n", "Y0J8xqlu1wUKZOfSdcpFjqdMR4i6gLT+SwY4T6id3YuZeVk4Fa+YRW4doeNKtNzXwYjzqoMv55ua\n", "N8m3yKBelJEhkCFyo5hGCsGkypABkcyYzvrgTenEAYkrCEeANSYno0eMI93z58/HzMxM3L59Oz78\n", "8MP48MMP49atW+1qBaF7DS7lI4UmJHvnzp3WQ0LXPhWlXLeMuHdhQGUtqlkw2WDqQpVufe/s7MTa\n", "2losLS213hEJECloDjLPL7OIVV59q+4aDFLqGRghINjf32/3yKDSZQyKK7wsxkbMzvlcebfkjtT7\n", "WpOveXABUA44gspLly61btVbt261U3137txpzz3SKi2VISNaGOq7zK3qgEQrorjTpaYCKfT8MEMB\n", "EnfZq5/0fsZrPvXj4yoDxxHx3gCSmlfA6+vgjJ4RbYSn5ZkKgnQloTR4UrU+3M3VrXcfN96P2Ycg\n", "vSYfu9rCP5w6VcwIwcjGxka7BN2nFvXtRkumqCizXAlTB3A616cU3MtIRZnlq/cyUOLXMw8PA2q1\n", "miibFuHZMJreUxCrYka4hYR4gtM1zqu8VmsnX6XFXcMdKNOw0TM1A0RtqftZmEBfH9d0W5ZfH52K\n", "h0TETmCHk4imswEot5ROUf3www/j9u3bce3atbh48WLs7OyM7YQp5C1lJuaRIlLH0cpl58qKonCo\n", "dapbpj44HLRklgz/E0SIIdfX1+PZs2exuLgYz549i9Fo1DItlS/bLEub/wlK9Ly2X5fXxQNyMw8Q\n", "BwsHDF2B6mO3AH2eU2XjNIbqpQEuK1VTbIp54cFRHsQ8MzPTHp4oa0bnF12/fr3d84N8KspAJPuo\n", "pgTkOZJ3i6uX1LYEwefPnx/bi0TAiHPy3k4UEH7dLRryJwUV+bFmfb+r1DeGMoAqfpBnhIBEMWWM\n", "A6Fc4Lua6hFPu9s/yzuLBckAiXsmHAiorv5ds7J9B1aCEW2LoADWiHHZxvwzOegy0D0BLBuVrQMs\n", "KkaV29Niu3WVycuWGV7nz59vt4MQ8FC+BPXSB/SMaImvwIjkCE+GroERtZGXl33nnhF6n7NFABzz\n", "Ald6n3mzTfi7xrs1AOjfGSD0enXRqWyM5u4qxhtkDJo1hhhO0y5iBCFRdcbe3t7Y7psMLr1+/Xo7\n", "x6cza9jB3APCmVwMXBPQZII+q9IFhis1PicLQvsDzM/PtwGsGxsb7fsMnqUQc6vXBQPBDAcf6yAQ\n", "4PPZLkTkIXF3YillTMjJ60T3dtbfDvAkLCLG91W5ePFi7O3tte53gahSSjvVxqBFzfG6ANGUnAOh\n", "bOB6H+s9BwqaPpR3hF4SxrZQQKp9mqZpA3ypVNT2WhZNwePC22OD2M4ZGHXBnRkNZ0VelgwA8p6I\n", "dZLbXh4OyREdE+BbvbM9p6cPz8ySZawpHsU51YR1zRPiXpuaJ6RmbXaBEU6T+jQNvSNcSUPjoc8D\n", "kpHzD69l5XO55H3NZzQ+9LziJvw4CubjHmGX51xVxV2QHZBI1mhVnsCoToLmOWjcb6TWX336gV5W\n", "ByM0+HzVoowb7xPqXe+TrH9rHhy+7+9maem9rvqSTgWQqEM5yNk49E6w0j5QxYA8e+bGjRsxMzPT\n", "WvS7u7tHAImEiADJV77ylfY9RpMLlEhYuCDzudCskfVsX5vQ1TY1NTUWd0CmODh4FRwqz8js7Gw8\n", "efIk1tfX23JoYFHQEfG6glUZMrDCgUomq+1fwne1rbyvKJiammrjSSLiyBbKIgIPB0Ru0XCZpRQ9\n", "p4mUnqbkaAkr9kjKSNM0AiTixYjDeVdX1jUhy76XQCEI4blIDkYEaKQ0pUDcytW8u4NEtbHHavH9\n", "iBjbRZTkgFqAqk8JnRZ5eTMlzHuZVS0ZIlDhgETtqf53gS9wS2UkJcS2Zr4cV1wxUwMgDkT6gEmX\n", "Z4SbnmmfEXlEBEjkYeTYcQOs9u3E8rL+lGmZQVbz+tCokQeKACWLl+vKww2bg4ODVm5p2Sz3i3FA\n", "wqka8Yz4QGen0eDK6p0ZNLX+o4dEoJK6yvmzlJLqH/Jz1l/Oqx7rmZWV1zJQktWtj07tcD1aaVRW\n", "Io8a5pLT/f39lhkEKuRyv3btWpw7d64NYtUSULr2pYg0TXP9+vU2aO3g4KBVFLXlbQQHjv6lRPwd\n", "kaPEmtB0BRIR7RJkraZZWFiI0Wg0FhdDV6LHjChvxrh4nTJAQgBAZtczDlwkYDOgxTgT1Zk7WpZS\n", "2imNiGj72qedlBanzlh3Pw2YHjVN1yheQIJEQJZxK94/auc+y4ZtySka9aF401fZSIC44OL8vT/v\n", "goDKLmJ8ian+UxjWlLV7vFi3d4FcWfnv7D/fVRu5x0zTNALh6kPuT6H35FVhAKy8KnSNe5mdlzOr\n", "9DgekqzeblkLoOtsGu3JxHgRD2BVWbP4oZol7HXlfa9zBhb8XU9P70su6D0HeZTTVLy1Nlb6mqKR\n", "jqGnkYBEcksxQ+SdLFbEwSnlooNWByFZvAiNvUxfsA29npJh/qzLdpWNbZnxmu47T3h79/Gt06kA\n", "EkZKc8CwkGwsWYjT09OtYFfk+/Xr1+POnTvx8ccft5vOPH/+vJ0T1bJXBq7JIpar/vr16+2Szpcv\n", "Xx4JhswEtMruSJwghYq81ha0ZiKOLoUmY25tbcXy8nK7mjJUb+IAACAASURBVGZ+fr5FxhFHlzFT\n", "cYokiB00ucKhYnMQkJWfitTr5cJfWxqrnpwzVxvIQlNcSESMWRge6BcR7ZSFAIkDK/ER24hHw3OX\n", "XgcBNXBAxd7F6wQjconXAAnrp+BXf47P0ztV++8uX6ZBvmU/C4B6vuTXd4Ec2A95nspLHlMqFSkU\n", "90QxzkfWMT0qXF1TA0o1AJIpSr/mAIaUyQyCKcUs6RBJfrTxo47JIBipyYk+5cPnlJZ/XMllvOb1\n", "1/jQOOc0JGUJeZvbC/i4IT9QvmfKnh4V313ZT3R2w8LjJGuAX5R5RHzbAIKlzLDwNswAMCkDDPrP\n", "aTPyWR94zICI6MwBiXeOCzwfuPr2ztNyTe2Cp5NYL1y4ELu7u7G9vd26H6X0zp071x6ep6XBijlR\n", "3rJmJXg8DiNDdyofFVWGvGvKuiZIImLMxb+yshLz8/OxuLgYS0tLsby83CourkzRR0zENqVrvoZY\n", "a4xbc9ny2Rp6du+Fx5V4n0uA6rn9/f32jBrOG7sAV19pdQOVOwEMBYqEhwSkrNqDg4Mxxaz2JBDJ\n", "+pIWqdzjPHbA42kI/JxoFXneDhgzAKb/4meW1z17LsDcOnrX6LjlctkipSZloo+CD1V/3+tB/MW4\n", "AcURKOB9ampqzDvifNrl8cj4+rhgRB8qMx4OyrNpNE0tPvMxTY9qHyDp6ivndecvyp4+IKZgdRkh\n", "vhSYZeVYU4wVp9u9fMzDlS6BrK+yERDxpd4exJ/1qXtJIg49m5SB3LvIY26UVjYmHFT6czXg2ecN\n", "8eu1fieP1NLO6FTOslEnidg4VPJSIhGv9gRhzMD169fbzWa0810ppY0b0YATuOCqmlu3bo3FjSje\n", "hJv+eFCnx0p0CQ8P8nTl7ULDFRs/z58/j9XV1bHt4JeXl2Nra6uNHaBSJRBxJVVDxPqWkqK3Kquj\n", "yBnaETotAgkQgQBH+LRwSimth0SnjZ47dy5u3LjR1pEBne7uJCAjUOE1xtYI/EjZyBNHS4hgjEJ1\n", "evrwsEHVmUpAHj3FijRN07rz9Q6XmEccbiseEWOxJvRiqE1ZDwoF5zv1m3vrMjBKz473qb/zLlDX\n", "eHJi/9NLRkAhb6wrdLU/j6bQVA1XUWTyzBVyV9Bq18fHsXthaNS4Z0RAhDuwcgUilW9NadaUS005\n", "1cCFK1Dvty6QRkDCVSO03L3PPQ96DNVWDmY4brwfCEg4RRQxfowD86LMqPUr25BlYx3dEJY8ZP/R\n", "2Ge8oPKn8ZzVz3WH+inj7dpYrMkif76LTgWQqGEzBUemkLKVl0DKTJuZ0TMii1jbvWvQRRwqKe7i\n", "eufOnbhx40a7pI/LUjMQomvZ4FAeGYDJOoWUTc/QS6IdWOfn52N2djaePn0aa2tr7ftTU4cnvnLA\n", "u1CuCTS2PZ/N6uZWx1DrVEqfwI+bl3E1k9qbp/nyHnfM1GClkqX1QoDIqR3vLy1/VFq0COW257vs\n", "X1lcFB4MOGMUvLv76emQRe3L+hj0KsGi8rNe5Bn1E4GlW7fe57ymtJRP1p+ZN+csKAMgQwCJlIm7\n", "2xVgrXSkWKjwBEi4PJibpxHMeb41hVRT/l2frvGnPtSUHwNYtfuqPMjcA8cVV1d5VC9+e535m3JE\n", "nwxIElx7+9Bg4BSGx1O4B4FtwikYghHGDEbkhwYSVNDbmk0R8X8NkLhOycrqwIRjk55fAogsbmYI\n", "6NCHJPlGUOLgj+nUKLt35oBEQpLuMApTChMJA6JigQpGtEtJaQnb6upqu1MpQYymd3SmgJQ4By2n\n", "alyAZEGU7gnxAez3uqw4Dmp5BuQZmZ2dHTubxsvieWXp+jM+YMmg7JOIcZCSCQ1ShuCzQc0yqIy6\n", "d/ny5WiapnXJllLaKTmCCClt5sUVMlTcsl4duInXOD3HqRqBjkw4EdTQre/eIaWldHSS8fnz51sP\n", "igCOPF/7+/stKCewYVuJBwg+1AcOdGv9TSDj7UL+YdruXj4L8vHTBUQi+gNZuSOvFBzBiPiL8SYC\n", "MvKqqByUZ8zbx4Ar+yHekawdXMHSM8cVNKurq2Nn0zCA9U3BkerHuteeqQHcoddqwEb/PRSAfeAg\n", "gG3GaRB6FfQ8n1U+Na8Lx28GZByYZGAkS9sBFcE122dqaqqVZwzEdlDsaXkfZWOpBp5qfet8Wuvb\n", "Gp0KIFFHyBJkgGvEUWFK95gDEkW2X7hwIUajUaysrMTq6mrs7OzE/v5+GwmtHVm5jS+neTTPL2Tr\n", "g5NlqFk4EeNKf6gQyUjbwS8uLsbc3FzMzs7G9vZ2GxMzNTU1tgVxTVCQCciUGpDZMs4MNHUBnRpJ\n", "CDfN4fJXKnIJgohD16Hui8npWtT0mgAApzk0yDgdQsWt6/QoCPHLkmA/axqMVpNbR/Q6yCuidFQf\n", "t+7Ujlw9tLu7215zS08AhUv82L5KO4sRYX+6Zej97VOozMN5qU/xnzYNLQsFeC12RHyqGCACEnpV\n", "BGI85iQDfwTtNXd9Jk/4bKYIsnbQuGAQNb0i8ozoGA2OL/J4Hxhx2aZv9+Jl5a795jWC96FgTfIg\n", "AyXsB45bPktjgHpKvwlSHLxwvGoWgFOq7NMuQJKBkS5+Fr+yHwSE6L1VHsq/tkKHvJTl18eHNV3n\n", "fTsUlJzasl//nzUAQcr09HR7ABpPTrx06VJMTU21UzWaF9UultwnQNv4Khpe73GDKrounYnISMcd\n", "sF4nn6qJeDU4JESWl5djfn4+FhYWYnl5OdbX19sBJwXLpbIRRxk088CwzI6c/VkHJDWFVGNCgjk+\n", "q7zd1ckBMzU1Nbbtsf5z5YNvlaz+JBDi1KB4KAtkVbtK6dDlyfsqB/coaZqm5Z+IaNOnECCAoWJU\n", "PhJ6uuZWl/hUsSSZB8SVYU2osNzeLxTW7xrwcOpqAxLHpYMRejkIKhhUTa+un1fDmBOVw8e3GymZ\n", "l6RP4bJfsjYgnyhmRKf26pA8nk/D1XkuzzKwpLy7jB/ddw8J+6FGmbHj8mdo3rVxUHvXPcHuDRHg\n", "Z/4aqzIsCEao9LO2zACJ9yd5uIsPVBbqALUDAQfLy+lmenYJ4rw8+s127OrLoYCjj04FkDAqOmKc\n", "CTLrTQp4ZmamXSEjUCJ3tqY4tFxX73CvCe7kqngGWRIKoqQCyxiYHZ+BELeE9azqQmb3ay9evIjV\n", "1dV49uxZu6z32bNnbQArFXO2IyHzVtpiNActBCR8z+eS2Q81gd+Fpn1qLiLGBogGs/qdUyY+AFR/\n", "9RO3P1Z9IqL1JtDlrkEnJcSIeNVT5WEcCAWbynDp0qUxS4pAspTSLiPNgK3y0DgQ4OLmZA4CVdfd\n", "3d120ybWKZsq4ljS+CJPE9Cp3Rn46+UjH79NgfNlKBtDLjxFAoDycHC6xgNZ6R1RG1Ce6F16RlQe\n", "D9RWHzgPD/lk45B14zenamon9m5ubh45m6YLDNXkn8vHiON5SGoWcu0Z6gd/ju+yzfvANNvOA0L1\n", "2wGAy1DKC8kDn5rJ2ohgRJ/M2FPeHqviAIRpsr3ouVHgq+SaAJMMOBlftTHV1ZYZmMy+eV/t3CdH\n", "ThyQRBwuZ8qUfFZ5WbbZkt2Dg4Oxsxd4mq+2g1bgGb0q586dGzuETfEIPti6LJRskLrVI2KdHIWK\n", "afb29mI0GsXTp09jdnY25ufnY3V1tU3HtzWmFe7AQgraBSLrRJBDJo84GtjKcg9hJKWRvctALAIS\n", "KQ0fcA7oeCaOnmF7Kj5DliIP2rt+/Xrs7e21+44w1kTCRRu30Yogv8pTxfN9tNFURMTMzMxY21Lo\n", "q+/E62onBWUTRFAQc4pHfOvBlm4tk5cJStySZCyKvFlSrOR156WzpsxD4r99bGRTNYoBIVDjypqI\n", "w80ZBUjkHfEAa75Pnszkw1BQUlPqbuBwB1atqOE0Dfe/Ybm6gFINhGSyW+3ksr3m3cmoC6iQ/7Jn\n", "qIi9fno/YvwUbgfztbxcJ2msMORAhjD7Oesvyly1TU3viWcVBM+6Zn2g9leeBCX0jvA0ZS+jl9cN\n", "6CH9NUROUAbW6FQ8JNm1jJHUaVevXm3PnKGHQ8pB86SKAXGL5saNG+25FEKRsiQY3OVCjMLDy+SW\n", "hQes0ePg4CNiHPU/f/48Njc32wDW+fn5WFtba5nG08/cdmzLGkByoJRZAAQ0ZKhsGoADzvs2G9Bi\n", "QHlIqITdQ8J6cY6X7lW+q7rS60EXNs8m8mh8AizlI6LyV3203FOrs+Rl297ejqmpqbh27Vp7lo5W\n", "cVFYcmMytaOAAOujOtS8ILxOZeiejWwKgfxNy87LVBN67wog4bf/poXp0zTZjqzqG/KJ+Iqbp/Go\n", "A73n7Z9N2RzXG5EpHa+/8tR0noyztbW1drsAnXvF3aeVLy3vrDxDQInqqDK5McE6H5eotLp4T/yc\n", "KXaWjcqZIKRmZPl4E7kHjPJcoIDXMkPBPST8iG/lhVVZeN8/bCeR2tw9PhlP0Wj0cjNfz8Ov1UDr\n", "m9CpeEgypvEOl/I9f/58XLlypT0iXoCEAanaAlnAQkpV0zw85EhMKxe4rIZMmVJRiDKrlx8HMaqb\n", "0mU6uq69RhYWFtoP42DcXecgguUWOaP6YM4EDOvH/0q75nHJ6pk94wzu6RNE6T0Je25Wxvcd4HDL\n", "fLneufw2CxhlO0kJ6TlZm4oPESDZ2tqKc+fOtYpAHpjp6ek2JunmzZtHzomhZ0fpqV99bKjdfIpT\n", "dXYw4nPCDNBk3xHAef5eLu9j8s1ZkwOSjP/l/eGqGp7I61vEcz8iTi3yuIFLly61u7E6j3I6LQMY\n", "feCjyyvidVe/yriSHBQQ0UfTidyojUA0M3a6wNIQz01Wx0wekGp1df7L3qPXL3vXPUn6TY+O846/\n", "w/aTV4xjKeJwykptmXljWOYuQMKt8b0eQ/nKgVGtXzPgRLnhzgK2k//PfteMhj6wciqApIsoSDTl\n", "cuPGjfY0Vk25REQbN8IzGNTomuK5evVq6lWhO18gJrMOKHhryjwTJhF5gBIVkxTZs2fPYm5uLp4+\n", "fRqLi4uxtrZ2JECKH59LdKZkud3i9uc4PcLr3h99rrVMOThoYp66T0VYG1Beft5noKk+XUyetY/3\n", "GeeU6WURcYqD034CJNq1kQKMlpn3GdvE+SU7zTMDHzXLxoUN0ycgybxd3oe81scPp0UZGBFJ6WZx\n", "I9lGZgQVHt+jPvWTqfWeT9WQr2oGTE1Z9yl88hI3PXPPiJb3ykPoCkl8lwXXdpUns7IzhanrfZ6e\n", "IcT0WQ7ez8B81m4ORigLxDc0GDmePL+a0maezh/kTwckrKPyYdxH1u4OJNk27lXNZMHQj4M2fTM/\n", "5wdvr+PSqU/ZOFpSBwlQ6NwZHQ1/9erVuHTpUjx//rwN2mKgVkS0y3x5cqdc503TtINY8SbKO5uu\n", "yACJmLjmhqQXwBFtxOFOnBsbG23MyBdffBFPnz5tY2G4zJiAgcqQ26O7oCFD6l0XOrrOPnAPidLP\n", "mJFzxa7s6LlgGu5JYhokXlN5lBb7ifOsHpioZzXXq3z9ZGECMwI4RtEL7BIcKX/d97Yo5fD0XgEK\n", "T58eOPKN2sCnmmofvsNycKUQhbrziis9b0Mv47tEmaBT39C74RuZ8cwZWsHqJ6WhOXx9yDvqL4KR\n", "bHpsqKJ3oyarq5QcA1gVL7K6uhqj0aiNGdG+RRxntTgWV2hDgYm3u8v0Wn36DIeu6y6X3TtS42d6\n", "Fd040jflgWS9gwBvrxrRQ0Le8jHIsioPBs2zzFndVV4HU/6+g+4uoJJ5ox2I1ACJU2agsr41OrUp\n", "G327oqPS4FLdmzdvjk3XaOdBxYD4qb48hdOna3Tapc+pch6/ppjJMDXhQaGdAbCXL19t6qWYkadP\n", "n8bjx49jbm6uZRoqbkfDHoCo8tcsFxd4VPBiaAKXzH3PtNyKz/qXfcx+ZvouACIOBXymPEUUqFxx\n", "JEVBl7l7lORF8aXIzF95KEZEz7tg53tcoeJ1LeVwe3pOBSig1/mG9Zd1yznrWhyM9xe9JBkvs3y8\n", "x4h7puWg810jt56z2BFO1wjAeiAr98ZhGg5IqOT6Ykdqir7LU5IJboInBbBqae9oNIrRaNTGjcjo\n", "UjpDAmpr5XBDxhURy0ieqSmwLiU+lJS/ZEQGhCLGY9D0X/3eNM3YlKr3kfiAMsifyUBJptg5XUTA\n", "68pc9fGpEx/vlJ98h+UhGPHp3aEeE+9Ltm/GF3qe3w5Uh9KpTdlkFRRzaGfVmzdvxocffhi3bt1q\n", "g1KnpqZa4a7NfaR8pBQYCa/lnaUc7r5IIa+8fR4/sx5p2Wf3fLBlYOT58+ftjolPnjyJR48excLC\n", "QrvPyNTUVGvBM40M/Dh69/Zku2YDR3Vwi1jMRQFfQ7dZXfkO0xX4YTpqU4KjGpr2gOWIGFv+nAlL\n", "Pav3qFB8cFPoMOBT3iiedSR+I4l/eMCa2oZCwS02ruZwtzC3x6ZwqykzpUHg1KV4MvK2zwTJuwBK\n", "agCJQMKX/QuQ8GTn2lSNvCsCIz5VQzCSeUVq/cNnMpCSgRHmp7glAZHV1dVYWVmJlZWVWFtbG4un\n", "08qKmjdmKCDxMjMNlpO/u8BIl0zxPq5RJuM8P11n/8jgkwHhYKYmyzPAm7Wt84DiTWTkOJhwz7z4\n", "j+fkuCyhsaHfmRHtgCgDI1kfZW2d1c35fGjfDX2mF5CUUn4uIn4yIg4i4rci4s9ExJWI+MWI+J0R\n", "8TAi/mTTNKt9BXBELWDArd7v3LnTbmaWARJuZqYO13wxAUnE4W6aGtDqECofV05uzWRzrip7V6fo\n", "W4BkcXExnj59Gg8ePGgDzxQ34hH8dMdlgKcLBKHfUoEiS4EuQQp6ps383fPBAa/nKEhpxTBdtT/j\n", "GXygsC1dmMhDwvRYX382s3CZH71H7lWRsmK64gP1m+rjm76pfVUPXmteez0yAeFBltkUXMYDDlad\n", "b71ta/yS8Zl7ZN6U3oYscT6kHODBeYol087OWnGntuK0GBUCp2u4gkvv8R22kSv9LqWcAZOsrvSM\n", "aNOztbW1dofq5eXlsRU1rvgyRVKTcw4WasCkC5DUlF2X8uMYVtm7QEoGalg254+I+m7Q/j7HZyZX\n", "3EDN2icDJSyT3vc4LhpDTNsBScShJzMDBg5I3AjzOg0BJn3vDJ3SzYwJp05AUkr54Yj4sxHxY03T\n", "7JVSfjEi/lRE/L6I+HrTNL9QSvkLEfGzrz9HyN1NzuiXLl1qD8774IMP2rNntNX7wcHBWBAhA1mz\n", "LaG51bjACJf4OsjwObPMWs86jf8zy00rL549e9ZO0WifEa2oUTpdVovfY+dmSsTLpneYNj0lWV1J\n", "zDOrOweHTydk01guSPTtFgvLK5AgECDAyTwiogWYFEzcdyQjL6vS8Q2Qss2KJGwoYLwe3icCWS6I\n", "RdnyQi8vAU0m4DMB0yV0svf1W99fFpC8DVniZVD7UA4IjOioCcaORByuYOK+IaUcHoCoj8cdUSm4\n", "V+u4IKRLUdOqVwC1AljdM6LD8ug1zuTGkHxVl6Tf2u/seSq5oYDE6+pj4Tj8lrWrwDmNTY5V7z+V\n", "x6dnKTcyGe3GAa9xWoj1IiDx6XlOL3t/ZYY9p1hF2bQM66p2yfQN+7vWtjVd6AblcftR1OchWY+I\n", "FxExU0p5GREzETEbET8XEX/49TP/XUT8P1ERIgz+y5h7ZmYmPvjgg7hz5067skaWTUS0cSMeyEpL\n", "9tKlS20Am6xWeVS0HXTE+GFLVMpqQKJQImpSbWA5I+zs7MTa2lrMzc3Fw4cP4+HDh60AcWXiAoSM\n", "nlm6rsiUf9a+ZCjWn+5LlkG/HfB4/Wv/aa2zXfUsn+H7fN4HAGNc1OdZvZUeBQ6XeLIMel/3qKSm\n", "pqZaMHxwcDC2oodWDEEdAa54zad4mLfHklDZETyTR11ouNs2Eyqsp3uy2P59iidTVsekLy1LVBeW\n", "SXLAvSMCJdpDZGpqamyDPS7JZBr0jnBKV5az+qjmdegS3tk7WdvKg1MDI6PRqN2JlcHTQ2JGhgAT\n", "0RAFxHGb8UyNv7K8KEedT2tekiwPghG1C42jWloO6voC9Gv926Ws6Z33qZu+7R68fbP2yYCI16EG\n", "SPp0XVf9anL1uHKjE5A0TbNSSvlLEfEoInYi4n9rmubrpZSPmqZZeP3YQkR8VEuDFjQrqka/cuVK\n", "3Lp1a2w3Vm1gpBUH2jtEc+9iChdEMzMz7Za5GtBavunKOGvcLmbNPBeZIJFiW1tbi4WFhXj69Gn7\n", "8WVgnm6Gmn0guPsNfTX2To2Z2P5ZPll6vKZ3fQB4m2Vl030OmpoydCtE/wlIPHZCz/Oar65hWl43\n", "lZNu+ogYc9/TgiFo5WBXHgIkXucaoHQwQi+MD24GQjsf1fqN7ZNRJvwyPngTehuyxHnevSMKZGVw\n", "u/pOdfaVSuIRpaFlvtzfpgYYfXyyDzJ50QUKVD9N08ig4jSNB7FyRQ35gB68od4b72P/nT1be772\n", "jr/HMcY+9biyLiu7qxxUvt6XfLYmbzMjz/tQ92p96uXRx4PiKf8zEFlrA5crGRDhN71GNb7wtu3j\n", "l5rMz/q3j/qmbH53RPxMRPxwRKxFxN8opfykZdyUUjpzpSWrhpAloi3etc27pl2apmlBhQK2lIYE\n", "iPYXuHbtWit8Ig6nS2jxEox4QCSRMK/5wM5WKJBevnzZenRmZ2fjiy++iNnZ2RiNRkemjYiSibrp\n", "uXDQIAbytqwpcTKpB7C6IuMAo6JnHzqw0EChtelAreYh8bKRedX+XOlC5SH+8IBPRtKzjGyPiDgC\n", "/Lw+SlugV3EFBDcMihaRp7ydXaH5f+8DtQHLTkXqfdGlNFzpsa6Zp0rP3r17N+7evTvWdm9Kb0OW\n", "EEjVjBKuqlGwserjq2MiYgyMcBM0ekiUt4MRjtshFnPtntrXPSNa1qt4ES7v9RWD4kd674Z6R1Qf\n", "pdWliLoAAP87D/J+7X21AcfhcSlTyGofPpMpU5VNZeDY4P0MkNTGXQZcqIsckGT9RWDlBg3HsNdH\n", "/8mzjO/zujjweRMwwrzUznfv3o379+8P6s++KZs/EBF/p2ma5deZ/K2I+EMRMV9K+WrTNPOllI8j\n", "YrGaAaxEVlzLfK9fvz6258jMzEzbMNyRUBv9qCMVCKt9R7TUV/EmGSCRMqOgd2WlaxzcBCYZqaNe\n", "vnwZW1tb8ezZs3jy5El8/vnnsbi42Jaf9Xdrm/nwNwWF2qVLeJDBHIjQ0nbFSoaUC5jkwMLBiwMe\n", "FyhZev4O21/gQ4pY5VabUaGrvVxpeB85H/KeLBamKz6TV4b9wXZTXckf7FMCtyzinW2aCQpvw1pQ\n", "XpdQ5PtuAdaU5Ne+9rX4kR/5kbasX//614+06zHoS8sS8onGpwAJl/lKjujAw1IOV9wRkGgcdgES\n", "CXHyuI+1LmU/BBRQsXDjMy3tFSDhihpude/yo2Zp9wGMjA+Oo5T6wEr2TNbHNFC6Aia70vFykHfo\n", "MczK5kGkWR2z/94elNfOE5QfXfxEua+yuzFXA3C1+mUekiyNTCZkbeHtyt9N08SP/uiPxte+9rU2\n", "7S450gdIPouIf6eUcjkidiPiJyLiVyNiKyJ+KiL+w9ffv1xLIGP28+fPx9WrV9sTfK9evTp2tLeC\n", "uRg3ogrKKpJFlB2g58Kjy2IgucB2C0jpucWv8o5Go5idnY3Hjx/H7OxsLC8vj53cSytGwpRxCZ4X\n", "282ZxRmXz7pCcyXMAZN5CySoyagUFN5eNcblYCQq92fo5chckD44Mx5j2l2AhM/7f4JUeUj07XO6\n", "Dvx0zYWTCxTlJ57wtLK2VBtlbUMBlwk88kXW/lkbelnf1Fo1eiuyRGXPwAjPq1HciIAgN5qjt41T\n", "NVql5wGt6gOWoaZA2I41YOC8xGkabgevmJHV1dVYW1trPSM8tdkNGZdZtTGTtavXbQggyf572lSm\n", "XWUQuSLvMm68DFmarFMtT09LcqfWVrV28/JkgES8kfFNTQ4wPTdMKA+83t5mtViaN6mbtzv7emi/\n", "O/XFkHyrlPLfR8Tfi1dL9X4jIv7LiLgWEX+9lPIvx+ulerU0MkVw/vz5uHbtWnzlK1+Jmzdvjh0J\n", "fu7cufY8ka2trdYzEnF0zvjatWvtEmFthOaN4oKDg9gFTg2QUGETBYq4tPfRo0dx9+7d1qLZ29sb\n", "AyH8rY/q7Uu+fIBkkfQMvGMbu5KqMVsmsFxgZp4RV4o+naVvn0ZhezMdtwLoSVC/u9vVy0VrgTzn\n", "ZWbd/DldJzgi32TCLRN8XYP5xYsXY3zm7zlfckdQWm8ZEFKbc6kzgUtNcDsY9Lp9WUDytmQJZYim\n", "anheDQ/Qm5qaGvOM1PYd8RN9uS9QLf8+ReKezsxzIZJnhDEj8oo8e/as9YxoKlpyoC/9TKFl9TnO\n", "J2uLmoKy/k/lg5cn++2KrcaLXbzqciErgyvT2vNdStvHYp/c9XHf1+5ZuWpj1uWee5syGUrDW9+1\n", "PvZvGXJsS2/bPurdh6Rpml+IiF+wyyvxysLpJTamvBsCE/SQcGdVWQrb29tt7IUaRvuOyD2rg/Sy\n", "FQ1Zo/o1/Wbn1Aa4M7AUxMbGRiwtLcXs7Gw8efIknjx50p63ExGdYIRR1dmAJlPR08I6UOnUhGRN\n", "oDANd0ln5ciUVyl5kGwpZcz9KuK7vozS7zNP5uu8FTE+ILwcTNevZ2CA7wwVPG6R1gRTDYT44Cfo\n", "ICCht0Rt7+2gD2NUvO+8f0spYzEqfZb1celtyBKNFZ5X47EjPOVb3gcCkojxlTXykMg7wgMSPY7A\n", "x1TWf27M1GSJ+tK3hNd28FpRs7W11W4VkMWNdIGRIaBE39m4qH1qyjPp87GxxDz9N6+5EubvLmCi\n", "/GoyIqu3yA2aLwtIuto0k88uO7LyU1fp2QxY+LP0bmfj3+tTq5/fr/XDm9KJ79TKwmuqRXsE3Lhx\n", "o40BuXTpUjRN0ypyboIWcShkBUauX7/evqslmj6vKqHCjnFmcyVQShmLsvcBrne5T8DCwkLcv38/\n", "vvjii5ibm4v19fWWATKBkTGk0hWjUQH7XH+NmbL6b+ZHBgAAIABJREFU+DOuLNk2bJeIcYUo8nKx\n", "vF3CzQWT14vpenn9PRc2XdZB9n4mBDKhondqHhK3dL2+pBoA6PKQELDVph1YV6bN/snus309piX7\n", "fptC501JBgk3Q5RXhBugabpRbeYnP8sIULByBkY0XRdxlL8ypc/fNe+IjxOVb2dnpz0ob2VlJZ49\n", "exbLy8uxuroaGxsbbUwcPWJM15eiOx99WToOGHEgIV502cC0/T2/54BE333gRGXluM/SF2UKvquc\n", "rEsNANaMk5pM8fbxPFlfrx/T5vM1g8+DtCkbWeau8tXK5p+hdCpbx6sSPHNGgEKfixcvttHlAiUZ\n", "INEhfEyjaZp2N1aPR1D+WQO58tdAV2xHZmnofc35bm1txeLiYty/fz8ePnzYnrrJ81Z8y+FMkKk8\n", "7nHIPBeuBB0dd4GRjKlqbSNFqPZXmTJhncWhTE1NHTnsjQpQ6WdCrQYOMlDhXpa+93mPU3csI9s4\n", "83wwSt6JQIJtxDy6wJB4l+VWW/nhenw/syRrvKDr7sFyHiDPnzVxfGb7jmSboGmccr+OUupLfbkc\n", "M+JQRrAM6v8aMOkCI5RLPlWjuBEBktFoFBsbG209XFa5bMlkTNb/Q8gVcAZAusCI/jsoyZ6vKWFX\n", "tqJM4XWBiCH1U7rZ7y4ARUBSM2y62rAGYLooa1OXB95WXb+zuvnvzHtzHHKwU6MTByQcKNxz5ObN\n", "m2On8kZEu+eIAIkCVCUUaNFwiofWYymvPBwU3BQSHjyaCZGuwaw9TjY3N2N+fj7m5+fj4cOHMTs7\n", "GysrK+2x0ax3lkd2LkIGUESelsgjwsloXGGUpUly8Mb+07czv8rE+A4ODEfqDiJEZP6mOVytIvCS\n", "AQv2j/jAwZu3VzZ9kYHOPmHDduG1PkuFlAEmJ3pHPLDbt6X3sngerIMDO6WTHRbHPM+afEWMgIgf\n", "nheRgxHxhkCNQIifj9SlNCKO7trJsV0DIwS+6lPFytEzomkank9DoOzyIwuOzJR7DUTovhOVnv47\n", "wB2imMhDXpbsv1+rARKWqfZxXue7Wb59gKQLTGV88yafIZQ9x/IQyPknW4lY44ca/2dt1gUc/VoX\n", "ncqUjdyjWlmjTdC4OkbWgmJHNBg5EHnOhKLo/TRDDlQCEpXDB3Bm0XShVB12tba2FrOzs3Hv3r14\n", "8OBBzM3Nxdra2tgSUc/HXay1PQMi8khyB0xiMH1L0fsUD5Wjp+teAz7TlUYppd0FVXVjeboAie+9\n", "obw8bwGqiPH9PLKy6fkMhFIREOAoHVqbmbLuEjZZW7J8mdfC+zWzBPWfZ9oQHLhwUZ0ZX8S+8Xw4\n", "p6xy1vY4GWK1nQZJBvhpvjo2gitrCEa0BQB5jrvvZoeaiWpKaCgYyeJGZNRoqibzjGxtbbUy0NPP\n", "wIiDTpaf9agpFlJNmXdRl7KqgY2+8ZQBkhrIGPrJ+rVGDqT6yu9GSt87meF7nLbOKDM+HYxk2w54\n", "2kP6yEGr53mcOolOHJAokl2BrDqzRjuy6swQuS65K6vHg/icbynlyEZHEthsPAcfLkRq15iGOnF7\n", "eztWV1djcXExHj9+HJ9//nnMz8/H+vp6PH/+fGxJrweu1gJZa8Tyc4rAwUO2JFT3uqx0z4v5ucLy\n", "NsmEIBV5Bq4cpOgdL6Pyz8CVnuGAVrr7+/tjabJP9R6BEetLQCJ+8rrWlBPLxbpmfcS6k984DUMw\n", "4ofssd41fmH9anzmyqJP8bwLoETjn7EjDGTNpmoEShjTpfFZ846IvK35nQGCLjASMR57tru7OwZG\n", "lpeXj8SNdG3s2AV6MuWu7z4F40qmptgzfvJrNR7NFHINCHYBEuXr5eR/jrvMYOgCZUPbLwMXXUCm\n", "9mxt/LnS9/dq7ebtchxwlvVP9lzWtl+GThyQ8KyZ69evt7uyau+Rly9ftl6RjY2NdqmvBLAGms/5\n", "CpB4sFdEjL1Lwc/GzYJMs7nYiGgtrv39/VhdXW13YX306FE8efIkNjc3o2maIyDE40gkBDNLhlar\n", "W+8UPF0DiMqW15xpHMm70HXhwmcytzZJFmqNwen658BRWr6ahCc763kJaVq0LL+DiayeejazYL1M\n", "9Gaxn5SWyukAyqex3MtBZeZ95YGsLkxrgI987mBK6WaKiNe8PDWeO20SGNE0DeNGeJyAvCI6WFNA\n", "lUqdYzMDIxHjBkGmgLKp2Sy2hHwtL/Dm5maMRqN49uzZmGdEW8K7R6cGeFiGLrDhdeqTI0OI4CUD\n", "QBllfOmAxGWRl4fXfQwMUcSZUdJVZn9+CCDJ0vTnfAx2tZdfqz3r5XavSJa264waEPG2HkrHkR8n\n", "Dki0o2oNkGxsbMT29nZ7WNT29vbYfLkaQkKEHhJZG87gtYEsokXMay5kIg47VceAj0ajePr0aTx4\n", "8CAeP34cT548aRUMrS2BD/1X+elWVvr8ZJ4JeleyAerKjAM2+3B5m4MEvc+0s7YkmMjerQ0k5pV5\n", "DOihYMArPQn675tXUfh7edTnjDehxZlZXeS9ixcvtvmzXA5GDg4O2vbxdpWSIbjTsyyz+sh3FqXg\n", "zwR5JuTJ+w48sj5gvTJr6iwpC2TVkRHnzp0bO8mX3hF5WtXXHJvZVE0G/AgAHVA6MMk8FjJqtOGj\n", "zqdxQLK7u9tuF6AyOxjxKZs+I0Fl5u9MEXn9/bf+U6lnlrv/5v+aIs8Miyw/758+IOEektqU9pcB\n", "JDWPh1MGSDK5w+f92Yij2xvU8mR9s/gwzycrZ1bemuzvoyHA5MQBiaZqFMiqE3lLKWNbw29vb7dT\n", "NRGHSE2KXtvEX7lypX0/YvzwPmeSzNsRkS/RyrwQUo7Pnz9vd0188OBBu8R3dXW1Tc+nYlwxZNa5\n", "vjPmdkXgqzb8HVrWXYznjJSt4NFv39Csy4rMBFs22Okh4HNuxTOYU3nr2ZcvXx4R+kwr8wLwOaXl\n", "niHWoSas+D+bj82Ekyu2mkCWoHEBUhNU7PeI8e3smX8mkF0oZx4Xr+9ZE/cf4o6sApSKzRAQ8aka\n", "j0HTqpqu2JGufuN1By5sy6Y5PH18Y2MjRqNRu+mZAlk3Nzdb+UcjoDYt43llcqR2L+vPmrIlvam3\n", "LBsPNaXHd46Tnt9XeT3YP/OAduVXk2ddSjt7N3v/uOTyKcujZuh2lUm61oG4y+W+PClr9Lv2To1O\n", "BZBcv349bt++Hbdu3UoBiXZl1bbI7DRZpwIkV69eHTtSnoGPtQGZKS02uAY7reWIQ4be29uLlZWV\n", "ePz4cTx48CDu3bsXT548aaeL9G7mAs4UPakmNEQ1xmJd+JFgVp56JiMOUlrSEuBZ3APfJaPW3HmO\n", "5l1xu4Blu/vqEtWN7eZtJ7CiNH1lTdYnbMeIGOMB5eV1cq8I8/B0a8ojK7/q6LEjXkbWj302ZCmy\n", "l5fvc3roXQEiIt+VVVu91wAJT9aWZ0TeVU3z8MyaTLHVxnAGQLL+VFsLkOh8mqWlpRaQcFWNnqf3\n", "oyuANfMw9H2c+p6p8YNfy57hf5axS5kP5bvaexxLLjuzMVUrb1b3Gh+wD/Qev7Py+rNDqQ+YeL29\n", "DbI6+XcGSLIyZwCHZcsM4y46cUCiTcxu3rzZejg03aIN0HZ3d1swIgU/NTXVChAJIa3KEZhx70ht\n", "sEbUPRJdg0CAaW1tLebm5uLevXvx6NGjWFpaio2NjTFAk1kxEUetbZF+dwES/ibQ8Dp7PrX6eJoi\n", "ApNaufmOg0BvZ2dW9+Bk1p6nQz6glVPrQ77Pwaa8/bmhQFC/s8BhDzblx5/z/mG6UlyZV8Sfd/J+\n", "cAHCdu8SUl3CqZb3aRPPrBEYoXHiW8QTaPt0L8+s4RRkjU+6vA01Y0NTvYqTExiRd0Tn1CiIlasK\n", "h4Ad7/OuzxAaIj/INz7WdN/fr8k0v5/xXCarumS5y0RXwjRSutrB65vlVwOFfK9WF5eRQ8eXK/nM\n", "++FyZ4hRy98ZX3vafWXO+m0InTgg0W6q8m5oymVzc7MN4MqO0uYW8drR9fr163H+/Pl298UMDGTB\n", "nxkDR+RIkspPy3sXFhbi4cOH8d3vfjeWlpZia2trrKxZIJvS8DLUhF6m2JW+FJYsJ3ky6FVgPrV6\n", "ZvcpWOiB0PO0Hp2huWzZBwcHPQEJB2rG9Bkw8byVnpfH61wDC2zXGmj1uWdNJSqNrjlZ5u0uY6Xt\n", "c8Cy7DMeYdo1D0bGXyxPl4LJ+svT9PKeBTGYldM19KZxz5FSDg/jFBjheTW+PD8i92gdR+nrm0Gs\n", "u7u7sb6+3q6mWVpaisXFxVhZWYn19fV2ee/BwcGRmJE3AUVdgCSTeRlAyChTqq4ga892pcv7x1Vk\n", "Xn8Hh5QRNAy6FLSXNZMPtfbmO7U2zoBSXx272iNLr8sA8TQyQJJ5RlxP9rVhLY8uOhVAIlAiy0YB\n", "aFxrrwpOTY2vqFEw7LVr1+Lq1astUNjb24tLly4dESoCMzUkSCTb1WFN08TOzk6MRqOYm5uLL774\n", "Iu7duxfb29sRMR4E2+UdUb7ewdkgygCJyiyhq7z5DKmLkbIBz/8ee+EC0NNifhlo8TgFV+A1y1L5\n", "ZsyvPLJYGaUpYJUpdj6XgSl6VJS+LF3xJ62smjCOiLa/svZ28CfLPhNs+iZodCHIetT6mmXLfmeg\n", "VfUYInROmmon+jLuhquSMkDCVXqaYq2NzSFgxO9FHLbl/v5+GyMn74imaZ49exbr6+uxubnZAlFR\n", "X8Cqj5s+UKJnWDZXYhmv1MCHj8VM3h2XvC41xcvnu/osAyQa094OnraXx+vVxQ818nxq+Q6hrvZ5\n", "E6DAPhzCN8fJo1bWGp04ILl169bYVE0ppfVwyDMiwaHCK4hV593oRODz58+3lirRboaOawPMB7iI\n", "jS3AMzc3F9/73vfi+9//fszOzsbu7u6RKQcHJvzvv7POroEYtz70vASd6uKd7UomEyKZwsvaytPj\n", "vS5g0/VujbIB0deXTlTyEUdjP2r9nV3vsiJ8ANeUeXbP0888SVKuXemqHHrPy+eC1+NSuoBUBuR8\n", "xdBZkPYckSGi9nTPiIMRgRCd6FsDI5lS6/s4sa3lGVlbW4tnz57F4uJiLC0txWg0ivX19dje3m63\n", "OHDZ5GXIyqQyk/rK6c87GMmez0BI9m6WfkY1AHRcYtvU+oT/symVrF7+XtY+Q0CIUx8YGSqbszp4\n", "gH0NNAzhiYy3avzm5egDen064VQAiZb5XrhwISKijYD3o7TFFApi1VTPzZs3Y2ZmpvWssGI1pnTB\n", "TfDiiorUNE27adHs7Gx89tln8Z3vfCdWVlZib29vTHBkXhIHIl2rQVh2lpNl8cFLgctly5lS1XV6\n", "KhzEuYXDMpG56JWpCUEvi787BE33AaQuqgWAZoJGg3ZI2bxcbMNMOJPPuHyZeWW7oiqoNNsMjeXw\n", "emXXMmHFIGEBa687QVpXn58FyTOi3Z3ZvgIk9I5MTY0fN0FAwsMzs/Z1EMD7fbJGuznLM6JdWAVI\n", "NFUjORgRbTDyccBQX5/U+Kb2bN9zrrw9/SzvGrnSOg5I6WuLPjkivuE1ByW1ceb5D61vrd5ZeY87\n", "1mqAJFuUwLxYX8+X+sJJ1zPDrQ+MnDkg0Zk1V65ciYhoB6rOquEZE2IWHp6l/QYuXLgwxri+vJYA\n", "wWmoIJHnZnFxMWZnZ+Pzzz+Px48fx8LCQrtzIgUHy0DKpnKcyagQCQR0r8asnkZfB0ccnTpxxqNi\n", "5TM1QUGGcw+Dt3vfb/6v1YcDSLxC5U4hw3qwXnrHhQzL7wOty5Jhmhlg84Gf9WNmVWRLfQkO9J7H\n", "dNQEsqaalJ63CaelMiXBNj5runLlSuod0bilh4R7/3Caxk/0zfopm6p0GZJNDyhvHRKqM2q6VtRo\n", "j5SI+o7SzCeTJRmx3EPI+TDj1Wx8fBlFynT5P6uH03HqR8Ch52lwMV8HH1keWZ6Z3MrGd1cdanXK\n", "FLvnwd9DplRqeuXLjPMhuqiPThyQyDsyMzPTbg2/vr7e7sjKbbolJLQcjxshMWJdlg8DEx2McMBk\n", "UzoucGRlbW1txePHj+M73/lO3L9/PxYWFmJzc3Nse/qIQyUhgEIlwXtZgK0EKS1RCh134/vgUTqq\n", "Z0asG5U424h5K32WJbNg9J21RZZ/hsj9GvNgeXlflAE4AhLvg5oFkAmHmmWRpcG0fIM2vlcTbMwr\n", "C0DzdqQ3Q3yTCU+1EZ/ntCj7OZvCITlYO2vSrqyqh4CIPi5LtAEaV9dkJ/pG1I+Pj4gj17NpnYjD\n", "3XV3d3fb03uXl5fHPCNra2vtFgcZYK3lU/PWkGrAt0YOhJWG7r1pn9fe60uT92vjlv/7FLm/k+Xv\n", "+fmY6itHF3g4DhDpkhMc60Py8jyz/F0mZ+U7CzpxQHLt2rX24Cud5Mv5UyreUkq7n4eW5sm6UfCr\n", "juH2PT9cOHgj16wOdd7+/n5sb2+3+4189tln8eTJk3j27Fns7OyMKV0KC8a+OIhwD4orXwcfKj8V\n", "bh+SrSkNb4uaJ4OKe+hKCg7eLoXmXgMCRC8D8/dlxRll/cGy1Nqty3JwUDJE4LOfPY8uhc5nam2o\n", "dxwcukfL0yeAUbwRn8nyrpGDn7MknugrAKJgYP1X+2iprzwk3HfkywSy1gCCgB93YuVUDc+p0Zb2\n", "Lhs8D/+dyYS3oTzc8KgBB/eSsO2GAqHMI+IGT0Y12Xac+neB+C4Q1ZVe9mzmtcjerfVl1j5s95os\n", "iTi6WWPWT1n5u4ynrvq/bblwKhujRbyaqtG+I5qu0dJdKnAt95VXRScBa8dUCU89m51F4cs9PQ8O\n", "cgm0jY2NmJ+fjydPnsSTJ09iYWEh1tbW2gj4DGDIa6Oy+FRNDVSoTFSqfczjRMvXhRl/k2pCjflL\n", "UXFlRcao7pVyBe5gQc8QlLhSYNn7rItafTJvEut4HCIf1YKhWQ/mq3eaphnzTNSAn9LNhIn/J4Ds\n", "6ke1Bze5y9JiuzIYtsYrZ0W+zJceEk1NRRzunCxAwm3inW+9nWoAICIHDRGHckCbPMozoqkagRHt\n", "xsqx1QWCukBRTUFn1PVsTcF1pdFHHANdwHkIedlZXu+X46SXpeO/3Wvi1AcOavIr46c+MNBVhr5n\n", "PE+fSeh61u/pHX+mBlaz97voVABJ0zTtGQ36aCO0LAj04sWLbUS9lvBK+DRNM+YdoZCJiKqlWQML\n", "mgZSEOv9+/fj8ePHsbi4GBsbG20QrRQMp2AkiKikPW7EFaWsfwpA0VBA4sDBBWSNybuYjYqya7kq\n", "02KePJm5BlrUZv4u06/V2Rk/E9qZlaB3nSf6wAnbmGAzK7c+HlDJAeqekNpgJyiptQPrnpU5A0Zq\n", "FwrLTLlFRBXonjUpKF5g3HdlZVlrgCSL6XL5kIGAjOfklVN5fKqGsSO+xNeVkoPdWr41sCTq8gBk\n", "aTs57/C6A4I+4rOuxGp5Z9c5vjM5NIRcBtRko9c5AyVDDJuah8LLnRk5x8nHy9lF2Tim0TVE/zAN\n", "ek8zGct3htbnxAHJ9PR0C0K2t7fHdmSlkpcAUczItWvX4vLlyzE1NdXuUxIxvnFazQtBy7HmGdFz\n", "Cj6bnZ2NBw8exN27d2N+fj62t7ePbIblabHsCpRTulScoiwNdlYf02dp+iB1S3yI4Mks8uxdb2da\n", "4l2kd2h9sz+7hINPV+jjbu1M8Pm8OCmbEsqET00xuCcia1eWvdYuNQ8Zn+lqGz7joMandjKlRFK/\n", "kM8yT9ZZEVchMZCVUzU+5ctA1myZr9ezy1Ph9yKi9dz6ipqlpaWxFTWaonbg7mCka4om+6gepOMC\n", "htoYrnkjsueYd81DUgNLtbLUgEJfeWrXhypGps0xnhm6Q0GDnu/6ZOkPLW9fWn3vevt7G3j/1Z6p\n", "6RvWp4tOHJCUUuL58+dtIOve3t7YtAsVuraJ526MEdHGmkiJ8zh45dFn9WSuWk3VLCwsxKNHj+Le\n", "vXtx9+7d1pLp8rTwID3OTTdN084P6x12nAs+UpcV74O+piQyMNIFfAgSMoXMPGsKrEtpZUJFFmXE\n", "oRclWyHj5dN/BzN8Xs94G1C4eD15jVMbNQXhfcIBy+kYKvhsMGdlzsjbztuIRP6uTQ3pOS+3t494\n", "/V0AIxGHQItxI1yl554R3wAt81z6mMxAQm3cSobQMyIwsri4OLaqRisKBZyGgo8h4ERtw+8ucpDg\n", "Y2OoFyTzAvj9jG/7AJDfH6LoHMTod1ceWXtkadfqdFwa2odDyjUkbU8ne4e/M4OX9/y3v9dnUA1p\n", "uxMHJAcHrzYa29zcbL0OjITnkeBa5qvpmgsXLrQu2YODgzEAU5sWEfk0EJ8/ODhoz6lZXl6Ox48f\n", "x8OHD+OLL76IJ0+eVJW/5+XAxK3dIYLkOFRjGJWTz+nbrWi62TKFrP8CGrX8vI4ZZQOOAirzJGX9\n", "yWBXAo2aQPT3vXzeT1ncRKY0svp7m2d9kAnjjGcdtGTp6n7mfXHBlgGhrJ2yOmXlO2tS+2XeEckT\n", "rqzhqb7c0ZntlHlQM2Di1wWqnz9/3q4c1BJfTdXIO7K1tdXyLnkyy8Ov1eSPp6H/J9XuQ6jLg+Dg\n", "3d9zfs/kZCbjave75KSP2yFApEY1RZzd7+u7IV6NrI413dIFSjJZ8ab8U6tTVua+Op44INnd3W0P\n", "z/MD8RiYeuHChbhy5cqRE4EZpyGhU5sH5gCWtURAEhGtB2NjYyPW1tbi4cOH8du//dtx7969WF5e\n", "bqdpJDy0PDAT3so34tByZ6BtjVEyhU/BQ9KzvhqiZjl5Gq5QXQm7W1/3FUfAcjh4cKuKzJYp8lJK\n", "60ViEGwW7EoLvpSSloeuerrCWQbvL5WDgab0DmR5e795enxW6dYEjbxBqiunVhxoeH5UvBkY8jqS\n", "agKJ/9VfVJxDV16dBjGY1c/0GTJd46ta3OvR5RVxULK/v9+CEe3EurS0FAsLC0eW+DIwXnlnedSA\n", "h97h77cNSjy94zyTgYPjWPfHLWfmQel7h78zJeyeIR/DQ9P3LQtq3p43oWx81/jFy+fAKHsmAws1\n", "g4ifPtnSd5104oCEJ/pm3hEJigsXLsTVq1fj1q1b7TbxEYduUfdEuFDmAG+aZsyboncl4F+8eBGb\n", "m5vx7NmzePjwYXz729+OR48excbGxthGUpknRmVyJU6l6u9RybHMNVDCOqm9huxV4eV0xunzMGRA\n", "IxvA/q7XTWUhCKwpOZbHrUJvKxK9JgQDjBNgOdlWXrbayhaWkfcIjtg2EXUQxGcFRPibdWbZa1NI\n", "ngeBa01heDkyBeNtNcRqOy1SHXmarwMSBrLWAlojcu8IebAGVvQ+Y0fW1tbaIFYCkvX19fYYCho2\n", "ouMCk9rv7P9QOo5i/zJU84y8Sb59ytWf5Tt9YyMrZwYsasTxrHcyWd1HHNc1ec/ftf9ej67/Lvuy\n", "8vfVowugDJElpwJI9vf3I+JwjlfKnitlZNnMzMyMLVOMiPZZChYKB1fiUk7ZipoXL17E2tpaPH78\n", "OO7fvx+PHj2KpaWl9ghw7XPiCNCVvivPTKCQhg66GuO7q9mVrQ+yTFjVLP+MqBBr5e96n+/6Oz4N\n", "UEPmmVeDZfNnuRdIV52YZzZ4agPR2y2zWGqgxuuaKQLeG9JHfNcFrwsV5p+l6eXK2uqsSQGt2bLZ\n", "Uko7XeMgpG9H1gyMZOM64tBLs7OzExsbG+2BedkS352dnfSIgFoeLleO8yEdh3+6KOPRPlAxFCgM\n", "4cs+iz77X2sPfWdekEwBDwUlmYygnK2l1VW+Wtq6loGUGmV1zvLKylUrA991HZm173Ho1ABJKWUs\n", "ENWnbHgi5/T09NhKHN3PgtNqXgG3fJrmladlb28vRqNRPHz4MH7rt34rvvjiixiNRrG9vd1aXlJ+\n", "rjiHWFHZ9EhtkDhw6erUzCuk+6w3vRE1weRWWJYWr9WEDtvEyeNDXKD51ITu0WPC+w4AfQOgrvJ7\n", "uzfN0SmpjGqKhB6OWntlQoP/PQ3V2/vT0/c6qUz6nS0vdt7I+p2gruaBOWviOT+qBz2mNUDiXiX2\n", "o6++6xrj4psXL16MbX5Gz8jy8vLYbqxO7I8hU0VDgEqW9pcBJZQ/Q9/tkhEuD7tAcU1xHgeUDH3G\n", "FamXO3u+Vl6/VgMCXeWsGUKZTKnpAabnfTgELHSBiC4Z0AdGsnpldCoxJLW9Muhm5byv3LKqQLYJ\n", "mrtQRVTeHmi6s7MTq6urMT8/H48ePRrbGn5vb+8I09SADtP3oNk+D4mnV2PO7H0yuqiLebP89bvG\n", "/P6sCxBXalk9HEjU2iBLX9TlXWF+Dgw87drgYgyLt0NX+9T6jQo/Exz8rgkUeqPIb9n7WVn13+vf\n", "JTQdrLwLwKNGBCQRh55RelkFRtyb6p+uKZKagcFg+M3NzRiNRrG8vNzuNeJbw8vbSplXy6Nm2Az5\n", "KG3SmwCRiDezavWe5z80nz4lmIGSIWAkIz7nRsHboOMq+b5+6pIbNRlTKw/lWZfsr4FJL1MX9emp\n", "Gp04INnb2xtb4hkx3kjamVWncJ47dy729vbaZbeMjs+CWZ0EcvisBNloNIpHjx6NHZq3urragiYX\n", "QGIW37yNHpvz589XBUlWtpoAYX7Z+xTCdB+7ZZ0pLP+tZ3xZrAMe9/Z4UG0NfOl5fnf1WS3/DORk\n", "Sppl4vMSBP58thTXPROyiPWdKfGsXdlW/ObHr3mcCOvJaShNFxC4EFj1tWt2X/XL4mj82bMmHp4X\n", "cVh+nn1V25nV+6vLg0geYN/KM7KxsXFkRc3y8nK734hknvMU0+d1Byi1HWOdaoDky/aV82uXkq2N\n", "ob70M5DRV/7jpl8jByWerr/bp0y77h93LGUGTSZD+gyfLD/ySx9Y6EpvCL3pe6cCSERUpmpEARIt\n", "8z137lzs7u62kenuecgsbv73ZcHKi4BEu7HOz8+3QWcsnzOsCwtOM+nkURcuNUCiew4gau/zOT/G\n", "nozq0xxsHxdWXLHDPLMYDGfi7D3Pg2XwDbo8bT3vQpegiAPOeYhlIaDRh/UaAty8Xv6eqFanTJDw\n", "fZ9S8Wc9D5aPMRQEE3ze+7yLHzVeWLYuwHU4X1ZfAAAgAElEQVTWRECiMtZW1ngQfAa8M+Mje0b9\n", "9eLFi2rsCJf4cm+UrrQdjLin1fsie1fX+e3Up6D5XNc9BxHZ7768/Dl/PqvL0PK7rOoDJS4r/H5X\n", "Ov58Jkv6wEgGfIYCkdo7vKY8XL9k73u5a3kch94ElJw4IOFZL9kg1MqaGzduxMWLF8eWckbEmECh\n", "4pVijRjfc0Tfev758+extrbWLvH9/ve/Hw8fPmyX+HKlCzdcy3Z25fy1KKtT7b+XX++TaszQ9z/r\n", "fOXFvRo4CL38WZ0yqinzjHwguIs0EwQ1IOXk03VMX+nSUuVAz8rGNGrCxIWNA48MbPR93jRwmPWO\n", "OOxvAs4af/h1KmgXbkPLcdLEgFaNrXPnzo0dwqmPgEnXVvAR/VMCAiLPnz9vgYg8I9r8jOfUZIC9\n", "a/pF9zIPa82L06XA/Zv1q1GXYmQa/oyncVzgUwM0tXINpS7ZxXSHlHcIGDlOubLfXfI8Axl9wIR5\n", "DG3XPv7I2rSLL4ekm9GpARLu+FhKab0LV69ejQ8++CBu3LgRFy5cGBvQBBoR46fARhx14xNI6Pm9\n", "vb1YWVmJubm5dmv4hw8fxmg0avcccc+HCwl1qEf4i/rACEGNL3HV+64UqcCZH5d2ulJ08EMApHrq\n", "+S4GdU+UCw5v+5rSyoR/tizVy1H7ZnnY7plyZ9k8eFTf3r9ZGswnKwenUTJAlIGPDJTU2s/LXaNM\n", "YLGMWfuxPKWUMQ+Z33sXyKdsGMh6+fLlI2CE070R3fzkY1HXI17tFE3PCAEJV9Xo8E+lV5t+YT4Z\n", "GOkDMV7OLE2vn5PLD3/2OGCEafJ3bZx7mpR3rkCHAAvm10cua/vy8HJnv4dQDYwwvRrg6AMlmbHB\n", "vGr/a79r5Xdvta5nYLSWbl9bnzggUWE0wKQ4NU1z8+bNuHnzZly/fr1V+hGH28pnHhJXrFwGrAbS\n", "xkWrq6vx9OnTuHfvXjx48CBmZ2djeXm5DWKlpaUPBYXXoyYEMgHiij1rFx9IrrwckNTABAczr/Ne\n", "Nn3i9ewSPp4XLXFSDZhkQK7v3ex6l7DqGpzZb9W/K4aiq48caHh5s7ZwoZuRl9WBQwZis7apCW3n\n", "P47PIcrgLMiX+yogXjFoBCWatnGjwIFlVx+oLXZ3d2NjY6M9NG9xcbFdUSMw4md0ZQCjC2TUPrV3\n", "3oScp5x/+tLlO0NBQ1caXUqXfHqc9LsUf20sZvf6QNxQ8jbL7mfg4jig5E3IyzREJvFdTyOTK/w/\n", "lE4ckHAwUpjMzMzE7du349atW3Hz5s24fPlyu6NrKYebi0mosPFp9WdoLSLa83MWFxfj/v378c1v\n", "fjO++OKLWFtbawUHrRfGhTA9KQMpgpq1k8WHZAKkVm7+z6xov5cpSW+HLCama26b5IIqu0/3uQtQ\n", "5uHtkrVDjYH7hFGfwmV5XRBSeWTgL1PqNYBYAwKZIFJ+/O4S1PLCEEArTd1z4eD8KX73Nuc72fgS\n", "SHnbqxHehCg/fJt4ARIFx8sDK/Lx0KUkIsZ3hd3a2mrPqVlcXIyFhYWxuBFt+piBvD7vh1Ot/2pj\n", "8LhgwH9nPNelTLLxUSt/7R3nbR8HfXm8Cfm4zBRyV341w8brxPveprX2rIGSGvkztXdqQKeLjgu6\n", "vB279NuQdE8NkLCjp6enY2ZmJj744IM2fuT8+fOxv78f29vbMTU11bpbBQJcSWeKnpb+7u5urK+v\n", "x/z8fNy/fz++9a1vxdraWqyvrx+ZqvFdXTMUKkCS7dxKQaN3dN0Vkwt+d5Pz2YyJCJCUh7/v4ID5\n", "shwUlqSs7pmQ0VQFp8v4jpdlKKP3CQcnPsfpur52ZPn8visGPiMAwGs1MCDerZVZ9zNlo48UYymH\n", "cU4i33iLIIttzj4QD+l6DQx1Kc6zIE73+d5F9JBotZ7zY1YfbzdeV+wIl/hmB+dxia+PvWzqtq9N\n", "MyCSjfc3JQKBWhu4DKiNXZfBfeXL8iAoEWWerOPW3fWEv5+BkT4gpftdU896N2u3DLwcF5B0pT/0\n", "2b5y8bo/7zLDdVw2lmr5Op04IJHw1IA9f/58zMzMxLVr1+LGjRtx+fLlMcFB5e/bgHu8gK7xWW1c\n", "tLS0FPfv34/vfe978fTp01hbWxvbOdEbTBZRxCFjCoBoCaErIL3nQpwbwLlyrSFVAqosH/90DYgu\n", "BTxU2dcY2Ns+u1cbcF7fWrkz5UHh1TTNGJBi2+uar6zxFUnM0wNRfVBlU3dZnxAEKM0sEFqxSJ6m\n", "+DdL2wGRyMudKTBvO7Z/1sc1cHTWRDnA/Yu4bYBiR9gX3jZZmrx+cPBqH6SdnZ3Y2tpqV9QIiGiJ\n", "787OTrx48WKsP7zt+ds9JpmxlpVrCIiptZeIPFTr+y5QnIEWgtjs3ZqSy8qZyWTn/yGgpKYM+8oy\n", "BPhRfmRT8Z5+1m599eyr23GACMvU9W4NYGTPZPXMnnlTOhVA0jSvrA25UmdmZuLq1atx/fr1FpC4\n", "YM0CTGsAQKBkamqq3bhocXEx7t69OwZIPCiVA0pCSIpF8/RyCxOQRMSRsqjcXFF0HKLAYh5UblSu\n", "fRYTn6uBo653+TsDSBHjS3pd2XucD9PMrJ/sfqYoPA9aVt6GpZQWELCvWces7CyLW4CeBvmAz+/v\n", "77f85N4I8VomAJlHJjw8L59OybwA3n8O7vuIdThr8umabHVNZjzo3axdyGuqq86p8VN8FTsiQKJA\n", "VlKm3Pjpiyfx+h5XljhlAITUxQM1YKx7NSCSpetKz6dyM/BTS6OPasDEqQYea+Oess/lZBcg8euk\n", "bGwNHZdDgUyNMjAytO362jR7rq+spzJlI6F57ty5uHz5cly9ejWuXLnSHqInAa3ns6mRrCJ8tpRX\n", "gaybm5uxtrYWc3Nz8fjx43jy5EmsrKy0QaxqbDKdKyUyZm0X1prFQgDAtPWbzznT+4DwAZARmciV\n", "KhWPp+dlrFlNWd5sQ69nxowet5IFJmdgL2vHrgHoQt/Lki2vdSCcgQu+54DY/7uAJWBgH3h/1Hhh\n", "6GBummaszl2gKfvOYmhUv3clhkTjkbEj/HCaNyIfb94+fo3eEW2Apt1YtS28lvhq2wDPw8vMe0OB\n", "SE2+ZMTxk6VZk1Ndcszllk8rZsCZfO1l65INmfGSAZUsTZaFv70ctbZ02VcDrFnb6Z1aul3l9edq\n", "9/o+2XNZubrk53EAw3Gf8/z76MQBCRW0TvS9du1aXLlyJS5duhQRES9evGiDwrLzJ7LGpHAS6Hn+\n", "/HmMRqOYm5uLp0+fxuzsbCwtLcXm5mbqVs1iJzIm1rN928T7oMgULYFCNi2RDQIXLp4nGd6XajKf\n", "bACz3PztwsHbxMvCtB1IeiAu4yaUB/uboMp5QHVi2t6HLEdNyDnYYPk4LSTSc31LYTP+yfhqenr6\n", "yHQO+0x5ZcBPz3o/ejmaphnLw/uZH05Z+nO8d5bUBUi4GVqfAu4CKvv7++2qGk3V6KOYEQ9iVTpd\n", "5T7Op+YVqfW1y4w+QFIDLxlgqOXrirxL2TkocXmZeVr5jst98WQGkLL69lHtvS553JdWVo8MxHTV\n", "l2PTp5VF2QKI7NpQQNJ1LbtXA0O1T59hk69JfYv08OHDVpBcvHixnaqZmZmJixcvRimldW9HxJEz\n", "KEhsCLpuS3nlmt/e3o5nz57Fo0eP4smTJ7GwsBArKyuxs7OTWrJdQXscpOvr69W539q7XmbvLM/D\n", "n+8TWDWhxdUB3Nnzu9/9bmoF15jGB4K/O8R6UPq1dLI+ocDh51d/9VdTgVYbCFkbejl9kGTg0etQ\n", "G9SZ8PQyfeMb3xjLywFbF1+QakI/AxKy+D1mpdYvtfiad8FD8vDhw5ienm63hycYybaKdwXfdS/i\n", "VX25G6tW1iwvL8fKysrYBmj0jrgsqY2JUkpsbGx0AocuIDGEusCGt0U2PmpASJ/PPvtsEABxvq79\n", "7lOWWbrH+fB90a/92q8NSj9r2wz8ZWnV6tBFXW3pbffNb36z834XIBjy/NCyZWWtXevqX9GJA5IH\n", "Dx60YOTKlStx48aNdldWV1AUGm4xU1j7JmYvX76Mzc3NWFpais8//zy+9a1vxcOHD2N9fb1F0r7d\n", "Ow/gcoFFq/zg4CBGo9ERZRhxNH7Fy5sJ/qxjazEQut80TRvI58eqDwVI3//+98e21Vc5HcDwWgYe\n", "HKy4BZ4BF5VJz3t+vOcKW59f//VfP9LeVCR6Xysj9OEhjd7ubJ+szdQftYMU2WcC0KyjB1D/5m/+\n", "5lhZM+XPdwXU2VYqN5/NhL3zgitfD571vmqaJq3DWdKjR4/GvCMCJm7AeN+6As4Mi4ODw63h19fX\n", "Y3V1NVZWVlrPiM6pef78+ZEl2DXAI2Ibr6+vj5XLy/kmYKRLyDO944CRmkL73ve+l5a/pvgcyHeB\n", "+r60XJZSRmWK1dte3wIkmbwcAnCO00fex32UlT+jb33rW6ny5+9a23e12VCQ09dmXcCni05lY7Tp\n", "6em4dOlSXL16NW7evNnuypodJ+5KmQo74uhS3enp6TYanoBkNBrF5uZmC0h45gwBjQR/RD4dwoas\n", "CXkqyYjxaQD9lzXsbUPKpoD0jPLg5m08tNDz9vRrgIsrizIAmJWf9VP/0tpnWl5ftmUG4lywq2yq\n", "p+7XhJXSODg4qB7G6AODdWMf16bVyJNSTMpTHgl6JbreZ/6sg4MaggI9r3sZCOmyvgmGakLiXQQk\n", "MizoIcl2ZOXz/M0P+y0iWjCrw/NGo1EbP7K6uhobGxstIHGPWk3RizLl4uWpAYS+dlff+NhyfvF2\n", "ya6xjJm8GlIWr2dWVv12vvZnM8Xs9eInm4L38juo4PU+ZZmBi753sne9jrUyO8DoaldPrwYGMqM4\n", "K2vWT0M/xwWgpBMHJBGHyo67oWYKS89SaHSlx+f29/djb2+vjYzf3t4es44z5lUsA+87uRDx35kg\n", "0XsZcw1pq678uwTYkLRdQdcEUFZvfzYDTn119ecoQLP6u1D1weJpOXg8TvtkVEuDbdA1gIcKouxd\n", "/7AdMiGk/11t2Kc0srK8S8Sx2zVN4u8MbRMCSsW2vXjxIvVSdaXr1NWOpwn2huaV8VFWh6Eg5TjP\n", "umxx+eDX/HpWhxoQyep1XCD2tmjo2Ox6V79rgO5N0xz6fA1QDU2znKTAKaW8W9JsQhOa0JeipmnO\n", "xFUykSUTmtDfP1STIycKSCY0oQlNaEITmtCEhtCJB7VOaEITmtCEJjShCfXRBJBMaEITmtCEJjSh\n", "M6cJIJnQhCY0oQlNaEJnTicGSEopf6yU8lkp5W4p5S+cVD5vk0opP1RK+b9LKd8upfx2KeXfeH39\n", "g1LK10sp3y+l/O+llJtnXdY+KqVMl1K+UUr5ldf/36s6lFJullL+Zinlu6WU75RS/tH3qQ6llJ97\n", "zUe/VUr5H0opF9+n8r9LNJElZ0sTWXK29IMkS04EkJRSpiPiP4uIPxYRvzci/oVSyo+dRF5vmV5E\n", "xL/ZNM3vi4g/GBH/2uty/2xEfL1pmt8TEf/n6//vOv10RHwnIhS1/L7V4T+JiP+laZofi4h/KCI+\n", "i/ekDqWUH46IPxsRP940zT8YEdMR8afiPSn/u0QTWfJO0ESWnBH9wMmSN9n4ZMB+CX8oIv5X/P/Z\n", "iPjZk8jrJD8R8csR8RPxioE/en3tqxHx2VmXrafcvyMi/o+I+CMR8Suvr703dYiIGxHxeXL9vahD\n", "RHwQEd+LiFvxaq+fX4mIf/J9Kf+79JnIkjMv90SWnG35f6BkyUlN2XwaEY/x/8nra+8NvUamvz8i\n", "/m686viF17cWIuKjMyrWUPqPI+LfiggeQPI+1eF3RcRSKeW/KaX8RinlvyqlXIn3pA5N06xExF+K\n", "iEcRMRsRq03TfD3ek/K/YzSRJWdLE1lyhvSDJktOCpC815ublFKuRsQvRcRPN02zwXvNK0j6ztav\n", "lPLHI2KxaZpvRES6+cy7Xod4ZQn8eET8503T/HhEbIW5JN/lOpRSfndE/ExE/HBEfBIRV0spP8ln\n", "3uXyv2P0XrfRRJacOU1kyXtEJwVInkbED+H/D8Ury+adp1LK+XglQP5q0zS//PryQinlq6/vfxwR\n", "i2dVvgH0j0XEnyilPIiI/zEi/olSyl+N96sOTyLiSdM0Opbzb8YroTL/ntThD0TE32maZrlpmv2I\n", "+FvxaurhfSn/u0QTWXJ2NJElZ08/ULLkpADJ34uIHy2l/HAp5UJE/PMR8bdPKK+3RqWUEhF/JSK+\n", "0zTNX8atvx0RP/X690/Fq/ngd5Kapvm3m6b5oaZpfle8Cn76v5qm+dPxftVhPiIel1J+z+tLPxER\n", "345X86fvQx0+i4g/WEq5/JqnfiJeBQW+L+V/l2giS86IJrLknaAfKFlyYlvHl1L+mYj4y/EqKviv\n", "NE3zF08ko7dIpZR/PCL+v4j4zTh0gf1cRPxqRPz1iPgHIuJhRPzJpmlWz6KMx6FSyh+OiD/XNM2f\n", "KKV8EO9RHUop/3BE/NcRcSEi7kfEn4lXvPRe1KGU8ufjlaA4iIjfiIh/JSKuxXtS/neJJrLk7Gki\n", "S86OfpBkyeQsmwlNaEITmtCEJnTmNNmpdUITmtCEJjShCZ05TQDJhCY0oQlNaEITOnOaAJIJTWhC\n", "E5rQhCZ05jQBJBOa0IQmNKEJTejMaQJIJjShCU1oQhOa0JnTBJBMaEITmtCEJjShM6cJIJnQhCY0\n", "oQlNaEJnThNAMqEJTWhCE5rQhM6cJoBkQhOa0IQmNKEJnTlNAMmEJjShCU1oQhM6c5oAkglNaEIT\n", "mtCEJnTmNAEkE5rQhCY0oQlN6MxpAkgmNJhKKQ9LKX/0DPP/b0spP39W+U/o/aVSyl8spfz0WZfj\n", "pGkyRo9SKeXvllJ+7xnkO+mLY9IEkJwAnTUjvgm9LvN2KWWjlLJSSvmfSim/wx5r4vAo9bOgav7v\n", "Y5tP6M2plPLPllL+xVLKv1tK+Vd7nr0TEX86Iv4LXHsv+WXAOH1nx2jEmbX7fxQR/8HbTnTSF2+f\n", "JoDkZOisGfFNqImIP940zbWI+DgiFiLiP30bCZdSzg25NjS5yvX3sc0n9AZUSrkZEb8YEb8UET8f\n", "ET9fSvmdHa/8SxHxPzdNs4dr7yu/nMg4PaUxGnE27f4rEfFHSikf9T1YSvn3Syn/3sB0J33xlmkC\n", "SE6RSimflFJ+qZSyWEr5vJTyr9v9h6WUP1dK+VYpZbWU8tdKKRdf3/vZUsq9Usp6KeXbpZR/7qTK\n", "+Vpw/1JEVN2cpZSDUsqP4P+Ye/B1Xf58KeU3I2KjlDKdXJvqapNSyu8vpfzG6zr/tYi49Cb16cmj\n", "2uav759au09oGDVNsxoR/0jTNLtN0zQRcS66Be8fi4j/d0ja78sYjegfp3+/jFGU9Y3avWma3Yj4\n", "9Yj4pwcU5Y0U9JeVme9SX7xO60xk5gSQnBKVUqbiFVL/RkR8EhF/NCJ+ppTyT+GxJiL+f/beNNbS\n", "Lb3v+r/7zPM5dU7Vvbe7b/u6W5frbjV4kB2Q0nLAChJDBhRIIGAZBb5EAhEiJMYPCIlIJICU5EtE\n", "SD4koMgEkliAEnBiiE3sEBrkQXHaduLua/edazrzvPfLh1O/dX77qffUrdu3b1XbqSVtnaq932G9\n", "az3D//k/z1rv782V4nxnkn8sV9FdkvyDJF/u+349yX+W5L/vuu7lb3U3H/V1Ocm/nORvf4Rzh9D2\n", "v5Lkn02y2ff9uH736P+DY9J13XySH0vy55JsJfkfk/yLA/d48gM93bjfNObJsxn3F+0jtr7vfzFJ\n", "uq77cpK/2ff9m084/B9N8ssfds3fIDqafPN6+htZRz/uuH81yXd/lH49bfcfPcO3wmY+97l49CzP\n", "zWa+ACTPrv1Akp2+7//zvu8v+77/epI/kyuBc/uTfd+/1/f9w1wJxfckSd/3/1Pf9+89+vdfTPL3\n", "k/yWb2H/uiQ/1nXdwyS7uRLC/+qbuAatz9WzvC2qvH73pDH5J5LM9n3/J/q+H/d9/5eSfOWbeK4P\n", "G3f69NiYJ89k3F+0b7J1Xfd7kvxbSf69gd8W9N/NJAdPcclvdx1NPr6e/kbUUdrHGfeDXDv1J7Un\n", "MW1Dx35cm0n7dpmLfMh93K9vuc38ZvNSL9pHb9+R5FOPhJc2k+SnynHv6d8nuUKo6bruR5L84SSv\n", "PfptNcn20I26rvv3kyzd0I8/d0M02Sf53X3f/x9d13VJ/oUkP9l13Rf7vn//pof6kPaND/nuSWPy\n", "SpK3y7m/lo9mMD7sHrTBMU8+2ri/aM+29X3/l7uu+/EkP9t13T9d5Prvd133e/u+/ztJHiZZe4pL\n", "PjMdfXT8t1JPv9D3/Qc33esJ7TeKjiYfb9zXcyUHj7Wu6/7XJL/10X8XH3337z76///V9/3vuqHf\n", "vxnn4sPuQ/tEbOYLQPLs2q8n+Xrf9//IRzinT9J3XffZJP9tkn8qyd/u+77vuu5nc4Ow9X3/xz5O\n", "Rx/l5f9K13X/Ta4U9S8PHHacZFn/fyWPK9QQXejvbhyTrut+W5JPl6+/I1d04EdpH3XcW/+6q0LJ\n", "P53kh/IU4/6iPZvWdd0/n+Q/7vv+t/Z9f9h13QdJ/qVMR6f/ZJI3H/37F5K8kas6gie1Z6ajybdc\n", "T7+cx/X0N6uO0sePMu5fSPLnBy/U97+Df3dXBa193/cfaVXOU8xF8uHz8e0wF0+8zw3tW2YzX6Rs\n", "Prk233XdIp9c5eMOHhUpLT0qWvpS13Xf/4RrdI8+K0kmSe4lGXVd9weSfOkT6DP50K7rut+dq1zk\n", "V2849ueS/GuPnuOfSfKD38T9/p/cPCY/k+Sy67p/p+u6uUf0/A98yPWmxrzrupkPucdQs+Ks5ErZ\n", "Pulxf9E+Whsn+ZvJlawmeTVXoKO1vu+/1vf95NF//2qS3zZwnd+IOso9n0ZPvx11NHnG4/7oHt+X\n", "5K8/Rd+47tO2Z2kzP/G5eN428wUg+eTaX80VIubznyT5HbnKtX0tyd1cIcn1J1yjzxX4/mqS/zpX\n", "BVPv5WqC/9Yn0Of/peu6gyR7uVpO+SOP7j3U/lCS35krGvRfTfJXPurNHjmMwTHp+/4iye/JVbHU\n", "/SS/L1dV7E9qdcz/0yfd46ZuPfqk7/u/l2cz7i/aR2h93/9vSd7urir//8skf6Tv+x9/wil/Psk/\n", "98gxuf1G1NHk6fX021FHk2c/7r8zyf9JXcOHtI+6FPaZ2cxnNBfP1WZ2V0zTi/aivWgv2m/e1nXd\n", "H0nyQd/3f+J59+VFe7at67r/O8m/8chZvmjfxu1jAZJHtNMfz1XBy5/p+/6Pfqs69qK9aC/aPzzt\n", "hS150V60F+2bBiSPck2/nOS356q69ytJfv8T6KoX7UV70V60x9oLW/KivWgvWvLxakh+S5J/0Pf9\n", "m4/yVz+a5Hd/a7r1or1oL9o/RO2FLXnRXrQX7WMt+/10ppcsvZXkH/cBXde9KFB50V6030St7/tP\n", "YsnzC1vyor1o/xC1m+zIxwEkT2UgPv3pT+fll1/O5eVlPvvZz+b111/P0tJSFhYWMj8/n6tVe0nX\n", "dZmZmcloNMrJyUlOTk5ycXGRyWSS8Xjc/i4sLGR1dTXLy8uZm5vL/Px8xuNxLi4ucnl52f5yTtd1\n", "WVxczMLCQs7OznJ6ejr13fn5eTun7/t2n/F4nPPz85yenuYrX/lKvvzlL2d5eTk7Ozu5c+dO1tfX\n", "0/d9+r7Pu+++m7fffjsHBwfpui6j0SgzMzOZmZlJ13XtOL57NCGZTCY5PT3NyclJ1tbWcuvWrczN\n", "zeWDDz7IBx98kNdffz1f+tKX0vd9fvqnfzo//dM/nTfeeCNf/OIX86lPfSqrq6tZXFzMV7/61fzS\n", "L/1Szs7Osra2luXl5czOzmZ2drb15Sd+4ify5S9/OWdnZ+n7Pl3XtbHv+z4XFxe5uLjIeDxuv3/+\n", "85/P5z//+Uwmk3zjG9/Iu+++28aG8R2NRtnc3MzGxkZmZmYymUzafI5GoxwdHeXg4CAXFxcZjUZT\n", "n4uLixweHubo6Khdc2ZmJouLi1laWsra2lpWV1ezvr6ev/E3/kZ+5Ed+JIuLi1lcXMyv/uqv5hd/\n", "8Rfz1ltvtedYXl7O8vJy+r7P4eFhDg8Ps7q6mtXV1bz88st57bXX8sorr+TevXu5f/9+kmRpaSnz\n", "8/NNZnZ3d3Pv3r0cHFxv7Dkej3N5eZmu6zI/P99kjv4uLy9naWmpfZLk8vIyl5eXmUwmmUwm6fs+\n", "P/ETP5Ef+qEfat8NNeYhSebm5jI3N9fkx+lVxnAymbT78J0bOoUs932fhYWFLCwsTF2XPs3NzWV2\n", "djZ93+dXfuVX8vWvf73JyM/8zM88jcp/M+2pbMmdO3eys7OT8XicT33qU3nttdeyuLg4OE7I9+np\n", "aU5PT5stYdz7vs/S0lKzJcwrNuT8/Lx9kI2u69r4cN2u65qenZ2d5fz8vOkG49r3fbvG17/+9Xz/\n", "939/1tfXc+fOnbz00ktZWFjI5eVlTk9P89Zbb+Ub3/hGjo6O2jk0roVuea4tB9vb29ne3k7f9zk6\n", "Okrf93n99dfz+uuv5+23387P//zP5969e/nc5z6X7/zO78zKykqWlpZycHCQX/qlX8qv/MqvZHZ2\n", "tj0rMjQzM5OvfvWr+cIXvtBspu03jefHPm9vb+dzn/tcXnvttbz33nt57733sr+/n/Pz85ydnTX9\n", "Wl5ezsbGRlZWVpr94jOZTB6zFczVxcVF9vb2sre3166XJGtra1lbW8v29nZu376d27dv59atW/nx\n", "H//x/PAP/3BmZmZy7969/NzP/Vx+/ud/PsfHxzk+Pk7f95mfn8/s7Gy718bGRl5++eV8+tOfzhtv\n", "vJE33ngjXdfl5OQk4/G42SX6c3h42OwMY2WbMD8/n4WFhTa28/PzWVtby/r6euv34uJiG9v6+VN/\n", "6k/lD/7BP9hkAtvAX8am6nT9cD3kh7Gzb0iu7E3Xdbm8vGw+BJ3hOMs7ctP3fb7yla/kZ3/2Z9tx\n", "f+Ev/IUbdfzjAJK3c7X+n/ZqriKbqZOEiMgAACAASURBVPaZz3wm3/d935eLi4tmPAAVa2trUw/B\n", "4JydneXi4iKnp6ftt5mZmczNzWVlZSWbm5tZX19vhmh/fz/Hx8fZ399vAoRgjEajrKystPugWAzY\n", "5eVlDg8PmxMwMLLCLy8vZ3t7uxmRlZWVHB0dNSG+e/duDg8Ps7GxkY2NjSkFdbPgTCaT5igWFxeb\n", "wVtcXGzOdWVlpQGFg4ODjMfjzM3NZTQa5fDwMA8fPsyDBw+mHOjc3FzG43FOTk7aM52fn+f4+HjK\n", "MBt80egT84Xxe/jwYc7OzpoiAWKStO9OT0+zv7+f09PTBr5Go1EWFhaytLTUxh3hZZ7Pz8+bQoxG\n", "o8zOzjbw9/LLL2d+fj5zc3MN3E0mkxwcHOSdd97JO++8k62trdy6dSuj0SiXl5c5Pz9vQGhjYyO3\n", "bt3Kzs5O1tfXs7CwkNnZK7FHufh7dnaW4+PjNobcq84fhnh2djbz8/NZWlrKyspK66cBLf9G6W+q\n", "2arAgLkAVCNPAEZk2YYF2Xa/6efFxcXU9ath4lj6Mh6P85nPfCYvvfRSc06fICB5Klty+/btfOEL\n", "X2gOwLKyvLzc5JnnQZYxzjwrBnp1dTVbW1tZW1tr3+3t7eXo6KjZBIOT0WiUpaWlLC4utjll3JPk\n", "/Py86ajHHj3Ajq2vr+ell17KnTt3cufOnXRdl8PDwxwfH+fw8DAffPBBLi4usrCwMAW0nmRT0B8C\n", "K+6L/ACaDU5xVpeXl3n48GEePnyY3d3dHB4eNnlO0mwGdsSgoAKvJE330auu6xpQ39/fbwFK13VZ\n", "WFho/6bPSXJ8fJyzs7Mme8j1wsJCm2f0EF1gfOjr3NxcVldXc/v27bz22mu5c+dOAxqAjZOTk9y7\n", "dy+/9mu/NnWvyWTS7O54PM7s7Gy2trbyyiuvZHt7O+vr6w1QGVgRYB4fH+f09HRqjhgb9LTakPX1\n", "9WxubmZlZaUFlcwpDf/ka1ZZqHo+FADxfQUelunqmwGGjPEQELKMYke+9KUv5bu+67ua/f+kAMn/\n", "m+T1ruteS/JOrl4s9PvrQXNzc1lbW2uOFCUbjUYZj8eNtSDanJmZaQiMyIMPEaoFFGNRo3sm3WyF\n", "DTaGBsEZj8ftPih1koYCERKirouLi+zu7mZ3dzcPHz5sSsWguxll2mFYkQyUiCy4Dsbm/Py8GdTR\n", "aJTj4+McHBy0SM0KiSAjSHyPsfS48nvf9xmNRllbW8vMzEy2traysHD1ShCMMIbbEeTx8XGLEI+O\n", "jnJxcdEMN9F413XN4DIfKAQG3Uo7Pz+f9fX17OzstHFFwM2C0efZ2dlmnFCamZmZrKystIhxZWWl\n", "jV2SnJ6e5uDgoAEhZJJzLQfME3PEx5EOcoURG3L2PKcBgz9mmRinavCHzmMcYE2q/BloM4cGpu5j\n", "7fdNjvBb2J7KlgA+iM4MLqstcUSH3fAYzMzMPGaLAJG2Jx53jwXXgOW8vLxstqTOBfdfXl7OwsJC\n", "i4JnZmba/e7fv5+7d+9mf3+/gSffkzm8yZZwT9sQnG61AQZoMzMzLaI/ODjI+fl5kmkZtVPmNz4G\n", "AjSeHdZgdXW1BTH0xY6TYIDrYZsJiipbcnBwkKOjozbuNbLHpiwsLGR5eTmbm5u5fft27ty50+TB\n", "DDigwrbYf2dnZ7O2ttYCpM3NzSwsLDQdPzs7a4wP+lRBMH1jbLCLDj5XV1eztLSUubm5Ns6cx//r\n", "WBsw+HfbEu5pWam2hHmrNqWCYeuQ2at6zSEWZkhWHtPxJ/76hNb3/WXXdf92kv89V0v1/mw/UBX/\n", "xhtvZGNjY0phGCgmcm9vL+fn5835owgYHb7DEFUwQuRvBfG9MDwM1MXFRUsLgW6TNIXju4WFhayt\n", "reW7vuu7mlKNx+Ps7+/n7Owsd+/ezb179xotyn1AsNzPE0nfUSI7uApIECJTk4wLxgwDBnhLrg3I\n", "5eVlQ+KvvfbalOOin6bsoBJheQAUIHScvlMFJycnbUwvLi7aWKJcpEwweg8ePGiGCoF1aiu5BiRE\n", "sJPJJN/7vd87FQFPJpPGmqEgSaaMMzTozs5Obt26leXl5aljT05O8uDBgxweHjYnQRuKHLgfcmmH\n", "xpg4zch5yOTnPve5KZbHDs6AhIZcMP5DUYy/HxoHGwXmj2dw9GVjUh2c5+aTaE9rS77jO74jq6ur\n", "U7pkW3JwcJD9/f1cXl42PWJckCm+SzIY2BwfHzdmy8GNmQ6PPTpwcnLSHKvBAqAGeX799dezvr6e\n", "5eWrHcQPDw+zv7+fd999N++//3729vamAI3lY8iWADgcwDmgwZZiS8weo3unp6ctWLDNqOmm0WiU\n", "nZ2dBuCQJXTAjixJNjY2GgMFO47ucH2AH+N3eXnZ7D0MzszMTEvzLyws5OjoqDGg3A85ttMnkNzY\n", "2GhBycHBQb7ne76nAVjuybkVkKCDGxsb2dnZyUsvvZSNjY3GCE8mk2ZH7t+/30BGDWiYA2zI0tJS\n", "Y8BXV1ezsrLSns92v4IBPj/wAz/wGMNJsx1xYO50pY+tAMQ+wTbKdgT9MSNcAyEHOsjUh7WP9S6b\n", "vu//WpK/9qRjvvSlLw1Sz3Zoh4eHOTs7aw/o6BojYjoSNgJ0C1Lm4UHgGBEbeQaelJCjbPoG1Ygw\n", "fvGLX5zKu19cXOTo6Ci7u7v54IMP2oATsXkCK9quhsWI04wFgARmBFYAdM2YYESGntX3+M7v/M72\n", "TFCERI1d1zWDTDptc3Oz/eaI0/OHcWPMkjQWhdST6yrI9ZqNqqgaI4cMkJf9vu/7vuzu7ubo6Kg5\n", "HwBddZiMEQzJ2tpa64Oj39PT0+zu7mZvb69FdDiS2ifPC/3ieEdFREl1/AEkXHMIkNTjLZM3yczQ\n", "b3xXI1lk00B0yOFVx+fjPqn2NLbk85//fPu3+0Re/vj4uDF0VQbRGVgD5ggASU0IQYrTmIyBAT9z\n", "iK3ABtWo1qnIxcXFvPrqqy19AjDAllBvYCDoZh2kL/6/I1cHNxxjW2JAgVM9Pj5utmRovruuy87O\n", "DvOVvu+nUkEGB6TVlpeXW3rNdRTMmWt2GK+Li4upGjyeww4QRodndaoOuYWdweEvLS3l9PQ03/3d\n", "350HDx60dLdTKx7L2dnZpuebm5vZ3Nxs6T0YFtK8Dx8+zPvvv5/V1dUGWCr7CBhZWFhoQITSBQdL\n", "TrcMBS1d1+X7v//72xgyH1VP63metyo7N/3m7ysgqbbhpqClMi9Pap/4y/Xm5uZaBGH06odHKaC/\n", "cCLz8/NTqB5ESxTiXKLp/2pAUDjuieFAwN1cZwJKdOrDNCn9xvDhBB2dmiJ3vQT3Sq4FB6SJQ02u\n", "0gqHh4fN4JH7hrqmCItncb2Fx7vrrgt5V1ZWWj0FxgGW5/LysrEuGAVy40638Bw2XlbgpaWlBgzP\n", "zs6aDJycnLSiUKNyxmx2drb1j7SUHfz777+fb3zjG7l7926Ojo6SXEepNloYANJsRGAnJyd5+PBh\n", "jo6OWn1BTV3YYVWgiJF1QZfB2dnZWWNvapRrufB3jIONEbJXUwaO0uv40Ryx+No2CDglnr8aoiGn\n", "97zb/Px80/9qSBkrA8Tz8/Nm8B1145iRB5w1AIGx8Zghy5zL+KIHzItBfnIdIMFY2CnhaNF1QL2v\n", "UWsz0Lda+0Wr0Sy6AGADcKG7y8vLTd+dKrceIZcwIWabGN8kTQcAdmdnZ9nd3c3x8XEbH+yIa5pg\n", "GuwXXJsFa2DgybMANK2zjPnS0lI2NzeztLQ0lVrrui67u7v51V/91bz55pt58ODBY/qIDQM0bG5u\n", "NlZxf3+/MfvU3JCum5uba+kf6xTjCYNCAevKykp7RtsHnvXD7Ahz7b+2HRzvvzXgwUbY9jCfroGr\n", "7KDBZwVHQyDk2waQHB0dNcW3U/cxCMzZ2VlmZmaaEYFCxYC4wKdGiQYkKK+vWw28WQWnRmz0cTYI\n", "lVNGXB80ThEo96ggiUjKE2Zhon8Ytr7vc3JyMpUvNSBJ0hyx01uwK4yNKcz5+flsbm7m1q1bWVxc\n", "zMnJSesTBhrqGyUitXZ4eDgVdTEG9B8wQTTCvBJF8MFA+JlRMEAEgMSFuX3f5/33388v/MIvNFAK\n", "U4R8MQ7Mh8eJSnwMCIVogF7/2xEKYASD4lVMGGHnpJEtA6Oh6xpIDBkFp6g4ptYouVbF4MQGDRmo\n", "UfsQ1WowXj/PuxHcMMY1tVDrwHC6a2trUytjXMxcae/q6F1zYiDjsXMQw1xbngkY+B054lwACcyO\n", "dcp6YrsEgOC+yeNRbZKWxiEoOz09nQJRROYG08h2lV/Glv7j8Dc3Nxs4I/BzjRl2H0BCWs0yVQMT\n", "0q2Af0AYtoQFBUlaCsm6xbNtbGw0e8O8dV2Xvb29fO1rX8vXvva1VoNHPwgI19bWsrm5ma2trSlA\n", "AhgCmNieAJoNIphTxmx5eTlra2vZ2NhoDBIBKzI5tOLFQME2szIYDlQq22twazbdoMVg2EEy8szv\n", "Biy2I7abQ+zOk9onDkgMIqrx88CPRqNW3IOSVIDh6AcHuLi4OGVgeGCUyY3rWfC9pC+5LmLd2NiY\n", "KlpEofq+n4oCjo6O0nVdY0eMIHlGgyCUh+9RcL53RXutL6l5YAAOY+NroAAcz/2o5aBIjYIu0lfJ\n", "9ZJVBNhpLYwRDpicsylOzyNG6vj4uKVzKrvFvVyjAfvAPU5PT/PgwYPcvXs37733XhYWFrK9vd0i\n", "IGSGfDNLkck51yXGpvORz9PT0ym628wI4AwQklyvgjFDZ+dQjQF/bRhqSo+xcaTkZmfpSMgREWNp\n", "mbHecSzjn2TqeBuS2v/n2dBxj3sFYjhaAgeYOj+XnQ+Ruql/dNB2h+CjFrq68T1yjK5QP0LqkL6Z\n", "UcCejMfjqe0Q3KqDcdDE82GD6Kfn1P/meoAsgIoBzuXl5VQ9ip0eAITUKc8CCKlOlfFlbOn/aDRq\n", "jphxZv6wIaSEWMpfWWaDa+5Fih12hToVANG9e/dy79697O/vZ2lpKTs7O1N2C5vCkmHq4B4+fDhV\n", "M8TYG8DZ/jo4In3N9WG7HKx4bJIMgosKQjjOn3psXalj8MY4Vtk2uKsBFOd4/Ol3rbeyvn2YHfnE\n", "AQmOzoirojsUhwlbWVmZMuyecNB3kla0BANiGjDJlPJ5shxR0SdqQKwIVvYKGkDpBwcHU/UHNuye\n", "CE9YjYRNw/JsBiTeDwAjOhqNmiEjR2vUytgQGUAzY4AonnNtCmMOcPF4wbCgYESK1JDQVxgECrYA\n", "i0ROjCNKAivFNZx2StIKkA8ODnL//v3cu3cvd+/ezc7OTjMk0Ko82+LiYra2tvLSSy+1ObIRcT9P\n", "Tk6askIBe28L98dMmmXaCgkrVKM/N+S+OpEqG45OnH4081YBCdd1Dj65BjLWOeTBlHIFIxVQP8/G\n", "6jbPwVDfTPcvLy9P2QADP9sA9Ax9OD8/n0rDGJxX6jvJlKFGjimoJD2KbQGQ4NQpKgW010i0ygbP\n", "4PQxoAqnaNmxDQWc2d44Fe4FAIAEbImLYbm+QUlNM/A7xxvM26a6uDrJY3bES7qpIWPOrSfYcc7H\n", "Xtlu7+3tNTty//79HB0dZX19Pbdv3876+noLYtCJW7du5c6dO21lIfWO7kNNvSE7TpHDahuMmDn1\n", "POITHGC4VTbpphRMtU+W18q+2O5UG1MZWR9P/13W4FSfbYkB103tEwckrIAxivVDMUimtEDNSR47\n", "ryK4+rGhxZCb9ua8ZHjPEQy6I3QfnzyOJk1R1WtxLJMD+HB05+ZJtID52r6+awWGns3ncqw36qF/\n", "pFiI3FBurkOUhMPuuuv9Ypwacp7UdTAAEheOehw5346XZzk+Pm7Lq9kwam5uLuvr620578rKSqNw\n", "Mfzr6+vZ29vLvXv3cnh42O6B0TLQoC84ZteJYDySNHBXnVqlKS2PBg6e72pEbEiGZNUyz71rs0Ez\n", "o2hZHbq2mb0heUcfn2djs8ShzQ+T6VUMrmPiOBdUWgfsYGvRpeUxyRT49Hha15yeARwZDFjHuecQ\n", "uKpzYoOOwzRj5vMqmLFM1d/ph+1kZfEsS47mSYPYiZmZqLqAbDqShpkxeGIOsSPMF2wn55sNsuxb\n", "Z5FfViXev3+/1bGwgubll19u4JGVbV3XtVoPCukfPnzYnseLD5wCoS8wY6zgIz3jdB3jWYH/0LxX\n", "8DA050OtAlnP7xB74d8qy1r7+TQsTfWbT2qfOCAhPeCOVKdrihwhxyBggGBBQHqj0aihVEcVdr4U\n", "vzEw7oedJ8WdLCczo4FjXllZmeqvq6X5uFLahtOGoUahVL2D6JeWlqYEDmRvoLS4uNgcJdchmnHk\n", "BJgy8LPgmoVxNAFbZAEHoKHsSbKystLGmjmoBXyTyXXuejQaTbFfFlj66Dwx42RAkiSbm5vZ2dnJ\n", "7du3s7293UCE63/4u7+/n1//9V/P8fFxi4AqcLCRZa43NjbadRlD5vTk5KSNQ1W8Cj6eZHAq8LBh\n", "t6O7Caj5nsylZZS+VWfn4w1Y3V9fD/173o1VIN7E0I7MkSoy6v1EvCrCO6H2fd+KPZ0yTa7TOjU9\n", "xDXN3no5OyzL8fHxFMuGvtAM+E3vV902m1sDKc8z/XO9G3NL+jO5XloPG2j5IoByjY7TJNXpONp2\n", "isv64Of1b13XtQAnSTseW+kFAaxIInAYAjquC/Scm8158OBBLi8v2+qbV155JZ/5zGcae5GkMcrY\n", "sr29vbz//vt55513GvsL0ERO6AdgcXV1Ndvb21OF1fi5GsxxDcaIvxWMMEdDIIBrGMTY31XQMnQ/\n", "xhF/w6eC5hqEV5kwQOR3dOJJ7RMHJDh4aNEaJfCdAYn3ciCCqFs1U6QG6LCgM5FOBRgkoAQIzfr6\n", "eqNMEXii4L7vG0JPpgEU9RKAEehhDIC3aed7oqfkWrBQdiJzAxkMMAKC4TPFbgPJ2HB/O3uOtRJw\n", "PIAIQFGpOEcAFr6ZmZnGgjHWBiTj8bjNHQBuiBlJrmuMSPFwTwDJ7u5uuq7L1tbWFCBBvpzaYrwB\n", "JKenp3n11VfbioBqyE1xsxsw8+wCPQAJAA3wx7j4b41iKhNkA1EBDNcZYsUqqOS3enx1nhU4Oa3D\n", "WMAO8H/0hv1lnmcjpWFq3vbERd3YAmyJl5ei6zb0HFcZpDonjDXj5AJQbAkb7lmOvW+N6XN0yMGR\n", "AYnBMHbNtoBreNVUcl0Lh5xhD3kO3xObZH0YciTuM7baxxuM8G9SmMwbDtzP5hSWn88MJs+Ifa6A\n", "kz4ZlFRAwrw8fPgwl5eXraYHQOJCddg4+nZ2dpb3338/b775Zu7cudPuBQuMvNgXAUgIWJ2iQYY8\n", "zkPNwekQgzEEMiqTNRSMDrGr7svQ8dVuOwAaAqnMCzr6bQFIjNY9GUym0bQjAEfiRK48MBGQHbeL\n", "TociQaNyfncxohUE45Jc5wMxOqw5v3fvXoviMeQYStce4Chd/0He2PuouFYAJD+ZTKaK4ra3tzM7\n", "O5vj4+P2PLz3ARBlKpVx9v0rsja74b460vfv9NGsFUbBSmJgaQM2BDYxDmtra20beBcrA8iovCe3\n", "y2oXcrpJpjbSY3WXc+TsdwMti+GjP9U4A4YPDw+bkWJ8kO9KYQ45f9OjQ4bE42aDUw0H/x9K05nl\n", "oHn8uY/77+Mc1dixWBefd8NBJNfFuwYi/G5AxYfnriCfoKDm2WuKhHGpjtnsRGV/2dfHTpprnJyc\n", "5P79+3nw4EFLaQKeDDgAMdgW1zJhT1wsyhzCTo7H4xY4zc7OTrGwTl3U5cfWAVaQeIUdx6DbXkJO\n", "fx18GfhbvnkOxtfX5VreyM2pZjNVXXe1RT27slKoyjle1gxjsbq62l4rYb2Dhe66q/2uYM/r9gXY\n", "ktFo1MoNZmauN3KzPML+mqmyz6qAw98xJm43gYwh+eVetI96L9sRy/5NTK+DYLPWzO9N7ZkAEiae\n", "6BKnX4t7mKxKvSV5TMlxzCgvx9cCHlOqDKBzyjXiTNL6a6PvaPnBgwf54IMPGiBJrnPBRBx87ORd\n", "0Y5wY1BqKmp3dzczMzPZ3NxsAOnWrVuZnZ3N0dFRMwx+T48LzgBrFKRBJdNsRBxdeRdSBJoI2Zs2\n", "MZeOnG2QiU4MtDD8NrwY0tXV1Xz605/O5uZmq98gyvSW+dSObG1tNWPDdZM09mg8Hk/tD2BA4op/\n", "AC5y46I/+smSYdJOGBieeeiDzFY2o9KYtCGlrsZmKBLyvXyMDc5NgMTgxkCmRpteivq8G2lNZJz5\n", "87uEkuk9fZyOYN6RKdczIUMGPEOs0hBrZUDisQaQMD8+n/eoeHMu9IKAg2ADG+LAiyCEYt9kOuUx\n", "Ho/blgGj0ai9kJSl8H3ft/fKwJbYWSZpNjJJY4AZsxoVux6HNLR3ZTVjUdmpCooMTupKPObXAIg+\n", "Li4u5vbt23n11VezubnZ/A66D4vMslt2cfW7aSwDAEe/t4wUNICDcac+DtBXU+vYTO/LYvBgmRuy\n", "Jfyt9sXNgabtCK3aiCEgVI+vfsP6YB3g4yDfIPzbApBg2GBIUCYACQ/gPCCRDgNbmQwmkmsbqaGQ\n", "QyjOvzNZ3ngMI8V1k7QJdcEnaBnD4cjURWo1V4zSOkdKn1wdjwKxiy1KtLm5mdnZ2QZkkrRlq9zL\n", "TIb3JnEelvHG+AEcavExAmbDBygATHjvBDNdpDhIs3mr8jqngCa2mU6uV9cYCOB05ufnpxgS7uci\n", "M6JGL82rbBz3Tq5fF1BTOYwP13NenvGuSuj59neVKansR428+c5/63kVtNQ0UdWZIcAy1Kw7jNvz\n", "bjAE7N6Lri4uLmZlZWXKOdaoDLkzk+A2FPENAcr6Yf6JwNlwz3UY2DLsHkaZVRsEVnUesT3oqp+p\n", "1rAgL/yObrOCB7B2fn7exhCGhKJStgngujwzY2gH7PobAz7Gtjolf+9l1dg8p+E8RoBHahHNYDJW\n", "sB4EkuyzhM85Pz9vNjtJC3gWFxfb9vYEdi5Yx44whjVtTz9mZq5X1PDMBM2VIXJK1HVCHHOTTbhJ\n", "Hmk+70mAZej4oWBmiDGpnw+7Tj2XcXtSeyYbow1FFayogf4iPQGqZIOZg4ODHBwctAcnn2dgUyfJ\n", "4ITvTRf6w8vpXLjHZGBMMIQYBxfWWUFIlUwm11tR26jbsLAUDMNC0aw36+ItwsmVsLI3itMYCL4L\n", "IruuazUtgJEk7U28HIOB9tJfszjed6OmNHgOohpvpX55eZm9vb32huCuu6JAGRvuhxzwYikYDxgk\n", "UmMwFyzlpOiUiM2GhLGCWQGoEBmurq5OpfIYIwwzDSdT6dX6sWOv3yGP1YHRx9o4BmaNY2uUz7E2\n", "zMn0ChADEDsGg/yqN8zrUHT2YYbkWTRT5Mk140Et11DqDt0jwt3b25uKuJlbbElybVgrG2b58ofz\n", "eY0Dx1CsaadOn7AjZgArGEb2AMMAaM8pdtR9BHgYTPPyN/QRBhQAxXlJpuSA5ctedYaDH2KYa9oI\n", "sFAZATsoxtHLtQE+BCW8+A8Wh+dD3ufnr17Gub6+3t6jBbt5cHDQdlSdmZlpO6SygmZzczOLi4tt\n", "g0jAZHINGtmgkT6ura015hkbTBqYQLWmfiuLNpTyqKmRypAk0ytwhlgO/hLoGmRW8FhBi/vKvaod\n", "4btao0I/bwI2DrRuap84IKlFhhg2EC2UOgpMnpNVE6QvMEYMroumkpuX4PGb6yFMUROd8J1zxEyo\n", "hQuHambAv6EoGEejfvqHUMM0kOrBsWLUnCbp+35q91K+o14CA8e5y8vLuXXrVgNSKJZzsUORmBka\n", "AEId3xpxs8yWmiCA3vvvvz8VPaDsrKIi6rJy01eMyP379zM/P5+tra1GsfLiv/n5+amaFDNf0KzU\n", "ADHmsHKMAc7NRcw1VWXldGREq5SmFXFIUasj43cbKxtq0+R8nD7gOmadfE9HfD72JsNodoxn+DBD\n", "8ixaLVjFDsAEGuhCmdN3UhcHBwftevUZKQYfAn2WDcuIgSV0PukPj62L921HvHPq0Bwk0ykN+kq/\n", "CAZI0SDXLsTGpsAQMJakNQFxpLUJKkjhwjog+6SbLRv8ZvkzQ+z6Fwc0/qCjpJa6rmv2f39/v/XR\n", "bA/3wo4ANhYWFppvwZacnJxkY2NjagdWXvznImI7a8CXga43N/N7rQiwqfFjPm2XkseL2qsDd6uA\n", "YciODKV7rLP8Xm0A17Pc0c+nsSPMsb+vz/ykZxlqnzggcdoAIQT9owwoER9Xwidpm5Qlj+eqvBwv\n", "yZSTqU7Ugw1FiWFmEimcXF9fz+Xl1XsLTk5OsrKy0pS7bozjiCK5FgCcCEWrvHmW9ehJ8tZbb+W9\n", "995rm3xR62G6l4gKx4tyQg0n18uYUazxeJyHDx9Opb9Iddj4skeIo2DGlkI4wCLAEYcPwDEF6hcM\n", "2kECygBhzO3i4mJb++9NrwwIkAuip7W1tRwfH7eNjcbjcXMAjAlG2MrK9TBq5LiTtCJiDDFOAGdh\n", "YH0T8nffLQ812ub//t0RpWW9OqoaYSbTy9kNxp1u4R6ukqfZqfg7j4edy/NqXoXi1ItXRSTXq+pw\n", "KKRSAPBewkgbAhmOUmukylia/TBrQXAFE0r6BCAO0wtD4hUwvgdzwxwCsL2J18LCQk5OTvLee+/l\n", "7t27bT8N20eDGJ6HglfLObpKsDAzc1Vzs7+/P7UCCEfuZ/G7Yuz4WJHI+ezg7Po1rzT0y1VdM+Jg\n", "lBQdz0itDmwRY8o9zESZ1e26roEV+wYHldYtM/5mXb3DOGxW8ngxL+cZLAyxG/ZrZi2Ry2oT6jHY\n", "GMt3BQg0A0gH5vxWyYQhMO5r2Y947hww3NSeCSDB+JMnJEpOMpULNgKHokvSdgkcmiSjTwaDugIb\n", "URwAg+M14UwcgsryPRzu0dFRNjY2mpMyNYwCezdHJhjBpqhye3s7L7/8cqMIz8/PGyAB1QNuEFyz\n", "DqZ5LVwYGrM11Ma4qLXuQopRgnFx3vbi4qJRtckVKCTaIM0FA7G9vT2VtjGl5znA0BCpYbx514jr\n", "S/jL7pFO2ayurrZXtu/u7rb3O8QWFAAAIABJREFUaZiixuDZ0TMXABKMCHJqB2zwiWxUUGzH5aiy\n", "Kn+ViQpo6nF2GtUR1kjFuWkbAzN8MEmAtSFDgu7ZoA0xb8+zGZAgX/QNh5JMG+yzs7Ps7e21iB49\n", "xe648cy2JRRIe+WAj2Xuvb+Qo2jLKylh5sTBjZ0h17fMOIVA0PSZz3ymjcndu3fz1ltv5f33328A\n", "2qyJAQnzig7TkC0Hhwbyq6urLUji37A+Lq7FYdsJ+91S2CZsvAGJC0KxfdhtxghAMhqNWkDFmAy9\n", "1Rt99iob7/m0u7ubd955p63047qwVy6odYoe27qxsdHmeTKZtE0Y6bf1x3a22hHGHxkcsiM+jn8P\n", "AZoPYyJ8vPt6U6qGgNLgCt9bg6TK5tqOEDTc1D5xQOKlaQiT15D3/fRbdylmZDtiVq0MUV6OYKxM\n", "lQ3xgDlP6kE3ZeilhUbxPs7UsRWTSSB64MV0RHBGxKZuXThpdOvIwAJuVsmrkiygNdqrexMwbhRj\n", "Obc9Ho+bUU2unQH3s8FfWVmZWlnkMUqu03MAU5QYkMCKIoxMpRYBsIeHh+m6q2r1+/fvN2CEUbPy\n", "u0iV/kGzwrLAqrhYzTJRQYflqOZPazRdAYSfpbJ2NMst/x9KDw1FTTYe/lgOGCP318dwfZpl7tuB\n", "IfEcJ9cgkfngO0A9TCsrSRjPmrf3OFgGuJbrsxylokvWPc7zviPoORG6gXK1G74e9+EYpxANMrg3\n", "euLVZBzLvCfTwMt2zfdCRhhXy1ldeGDwZp2obDTj4X2KzJwCKGxLvDka9olzuq5rRfAU+5+cnLTv\n", "6rO6yHdvb6/9vre31wp/CaiwI3ywI/Pz8+09WRTErq+vT63ixL/VlCrzW5kNsxI+3kDFgVUFLEMB\n", "jm0EclTn33NVwcyQHfF5FUT5d5dAoLdPa0eeydbxyXWxDoPOQ9mpTiaTloMDuaPcdlJmU4w2TRXa\n", "sSbXioSDrZMK4gVI8DsDyz1xqAg9gIq0FIMOu0DqiVzk3t5eE3iUxBEFoIUxqmwIz2I63saB62Iw\n", "vQyZ6BKQBUW6vLz8GFoHVJHS8DUoHtvY2Mjp6WlWV1engIjZDJ/LMWtra5mZmZl6a+bc3Fxu3779\n", "2JJvxurw8DCj0SgPHjzIaDSaqtFhnOx4yc+zOmlpaSnb29utFgVKGwNFIVqtCzK4S66ZhBrBVOW1\n", "vJoS9RxWMOLoyEaeVqMOF8n5GF/PdGl1ZO6HGZAhUDvEqjzrxoqtoSAgmQYT4/G42RFWqjmIcJp2\n", "KLJLHs/Xe4ycwqutAnLvFWLnQnqCNAOruLB3PBO2hKJZr+hBDgAqBmOeN1jPoeYx8P5JlvnKnFDH\n", "YYeNM692xMGQ5w121G8B99JibBt2i+vaNmxtbTWm4/79+5mZmWmrEe2Emb+jo6OW6r17926zL9hf\n", "6lJwqtjo2dnZrK+vZ2ZmJnfu3MmdO3eyvb2d7e3tLC0ttfGFgTGwtE/ymDiIweYP2XoHEFynHldb\n", "DeBrOv4mna4Mne/pVZj0twZw1Y5wrv3pk9ozeduvqUwcJwYS9Oy8nbcaBzna4DtKZ8K5hyPHmrbB\n", "KXZd99h6ewQIB2A61Rt84cCXl5ebY3dkwb2h8+i/qUNXc19eXjZ0baPnc2okXp8ZQ2JqDIDlfKWd\n", "nnO2ACmvvDC4oz+uBcLA+A25zjWa6agbCJE26vs+Dx48yL1793Lnzp0p1sfRBkAVgwFtDbWL7HjO\n", "2SJ8fn6+AZBbt261JX68WA+gOB6Pp8BQjSj4W9kQRzs+to6fwUS99pDyI2s8vz8AFv6iE0NRi4G5\n", "2R73zdetIH8o+npejRVT5+fnrZbBqTL0oO/7pr+AXgKSGvkxF5UxTR4vPrajRW8c5fqaZleg/7Fp\n", "ZjhJZRDI2LYlacdQhwJospwDrO3UAB9+FgNS+lkjdsuSWUDsSJUJp1UJfni+ZBokci3mAVBCIGjm\n", "owJ827lqCxcWFvLw4cPs7u62VTh2ko7UkQUXyZJuAZTYjxDcjEajtoLnzp07uX37dmNHYK+oFTTo\n", "qmyc5cT9c4Du8a1jwDVsRyobUr9jDirj6aDKAHhI183UG1QM2RGDRuvO09iRZ7Lsty7nTTKFssjr\n", "Qq96qaaVE6QKcoaCQ6ipvGZdPUrEvUCwTBiGw0qIUPG6ezYtIj0AiJqZua5kx/B5glkWB8Oxurqa\n", "27dv57Of/WxmZ2dbDnU8HrcowMCLvjE2FuokU8piA0UeF0OXpEWKjmowWPQfhXINBPcEhC0sLDy2\n", "66n7791n7969mzfffDMrKyvtfQ70k3Mpaq4pFkAYxgYltsBDnVJ/Mjs72+5P2u/w8LBtegQ7sr6+\n", "nvH4qjCYbaRZEsl1kmlGz4rO2Nf/W8mT4VqRamTt4MxaeOxtBGo+OpnewKlem37ZqQwZQ5qjI1PP\n", "jraeZ7Pu172KPF/YBWyJGVWe246Dc9iNFJDr/US8TxCf09PTBmQqCKeuBfCPLSHSrsX8yTVoYEUN\n", "doDaE/YQWVhYyPb2dl555ZXGAPkdL1wvmS5KZD6HbAkBIrIGo0PAyKrHvb29ZksAXKTWGQ+n6Gs0\n", "700XsQNe0TOZTFr6hV2x33333Tx48GAKOJjRcL0HdsS7SONnnIZnDKglY9NJ7KPn4uzsLEtLS1lf\n", "X8/Ozk52dnbaO7RIC2JPHFAia4y5x92AwX8JHrwasuqqddzgA5tZ00SWLWwIbIdrhYbYvmp7k8ff\n", "izNk58z6+B7PPWVTVzQQyRvRUyxzfn7eUhqmBTHuREEga5wo1Dab/eDYiPy914bBCkam5mAxAPfv\n", "38/9+/fbMlReVQ+6JxKjD6ax2IgHkLK2ttYACfur7O/vN2V2bUdlCSzYBleOkFBqQAVj7hVLFgz6\n", "ilHAAAAyLLjLy8stIqCo1awRKR8KzCaTST744IO8+eab2dnZmTJCHMf40F+MGAbNgASn4GhiYWGh\n", "bYBkBsOA5ODgINvb2203xq2trayurjYQQlTF/gTO3XNNRywVkNAYB7NMNTVpNotmQMK93GoEZUBS\n", "o/shoONznLc3izgEmJJrxhCn82HFaM+ioefeKj7JVKBhcLG3tzcFrip9zvVcn+GaBafEsBWcayof\n", "htf1FwASUisAkoWFhbaMFOfLOegxYw075nd2scJle3s7n/rUp/L222+3t1kDSCxj2NIqezyHqXg7\n", "RTOR2G32csFR+noU8gKg0GvbkfF4nK2trWxubiZJWz6cXMksqynn5+enAMl7772X+/fv5/bt2y1w\n", "Y545DrbTgARQhf4ByCoTvLS01FYfdl039SJXb4GwtrbW2JHt7e22UhRbvr+/PyVTQ4DEtsOADRtC\n", "/2pBPsc7YGXcKjPB7wY7BtKus3NKGHmhvxXMcH1IgiFQVeULmQVAVhtX2ycOSGrkxsPhyFl6awSH\n", "AbARZaIdTSTXkSj5WSN7lBEazgjN0a9RYHJdJ8DSPYxU/T3JlNFyXzH0NdeNI8YZIhSu3qafdoR2\n", "uqYrbWgr2q1j7mfnObz6AuFBSFlF451jHdFwPe7vol3T2GYe6IdTdn52O1qMI0YKtmgymbTUi1NV\n", "ZgSoF2IJN8bOO+BixOx0nDrk+Rg/nhVHwXxUUFHnwrSoAY9TJwYflbmo6ZaaVrJc12vAjFRnbFrd\n", "BoU+cozn8dutOZp3YILRRb6QP+sn4+H5A0B6KarBH+NiA815rjtKpnd4Tq4Lu820WN+YSzNAQ2wH\n", "x8BWPHz4MA8fPmzRuZ+NMWJebwLVdmD1u2pD6vLkGjDBHJspBKCdnp5ObdSIPbHTBuDZzvie1UYy\n", "1/w2VCvhoJS6OMaXfUu8T5SflxQzdYO8SwsbQbDnGh6nSLxKx8DBvsnsg/XW7JYdfk251mCkPj/H\n", "OE3jsaypIDf/3ywjMm4/VW0dMsUzWv5uas9kP2hH92YVoP5A/6ZdHanwf1gE2JIkTeFBtd6dk+Nr\n", "rjS5NiIe0OR6h0UKzRAqimGT6YkxHU4eFHTMs6NMZ2dnee+997K/v58PPvigvb0Wo2SQgzJUhTc9\n", "jCHDSfIsjFkVbjsXI2wUiSgHZX348OGUsKJ0RvsYcACJnTupOl40ZeOColAA662W+XBPaHR2qvVe\n", "BTU3Sh8oTqZ+hPuz5JAo1aARZ2GAjKxxXcugHTnzY3k1G8GYA2YMWG1EbEjqv7m+HeTQMb6nax2Q\n", "AUBoBTQAOaIZ542/HQCJxw059MoJxt11VwYknmfXfzBWBA0sEcaJOSq0gzBAcH2KnRkpD/bzcXDD\n", "/BhgItuwErYlyXVAcnBwkLfeeivvvvtu7t6929hW9zOZDpiqEzNrB0iwXCXXDKHrkOxgDIA8htZj\n", "GBhSKEdHR+m66zpCp9yw24Aag2TGrgZstjlO8dNIr8F0sD8MKSD2NEHWDWhZ/bO+vp61tbXmBwhq\n", "YI28rNc6RL0g1+a5bAc8nga5Q4GN72HZtU13AOoUSQVE/li/kDPLijMKHGs2z+DeTI37wDw9qT2T\n", "l+t5QirK5jsEAkBSi4KsKNVQ4rhQHKKaGhH4OjV9UScXh+oXABqlO5WEM8cJ0mezLuPxuO1r4p0D\n", "QexmSVCICkgAG5VJcETkaKuyGLR6jilNgBUFq1CvKJMNcRXOSut5kzTmzQV9BplV6ZI0SpZnJVLx\n", "Rnle8utKd+aOPSu4Fqkc2B87rgoILbuWuRrt8HyWK49vBYaWTTsbX7NGN55vR05DhqfOs424afQa\n", "1Xvs0SUbr+fdPC4Gi3aUle6utiSZZgRshzCglbEdAmNcyyA6uZ7raoNmZq5fQ4FdMBOMM0XGSU24\n", "z64v2N3dbStFeN9TZYKS6XfOuH/0qaZzfD+nHW2zq02nbzxvBTrohgEk1/E4ewMzMwvopu2NmR+n\n", "u52WcXobW2b2lNdPwDjZP3E+AAk/0Pd9C8wODw8b01odeJJ2rQpUnTLyGPBdZVltR/jr86stGdIT\n", "n89xtkdV3n29Gkz5WPyUbQg+wP/nu+eesjH6879Zbw6rMESv1ogO0IEyewCt6HyY+FqgZQah9rXv\n", "+1YNT7ESDAmvqEZAQYwUfdblX/QdJcPhI/C1vsbL5jwe9I3xc1FWBWY8A8jV1DG57oq2HXly/ZmZ\n", "mbYpGApRC14x8s4pWqCpG6F4l3mZnZ1t27+PRqNWAMyyRo49Pz9vOeajo6Osrq420Oedfmm8AAvg\n", "Nj9/9WqCd999t8nL5eVlDg4OWhEyymajUGnSalhRQEcbVuIKIq3Avq7HvQJj/+5IuYIPG1CDWkdY\n", "OAJocIPGWtTNOYAhR5/Pu1XwgayzkgrHlDy+NYDnC3viiI1rV0dxEwACYHiDRfSCeaOWKbkuLMdW\n", "8AZgNgsjjYCjnJm5fiEgHxeBMr/IMfPp/X4sW2YdzVAOOSs/f9/3Uxvqdd31+3Rofm47YMCHHTNj\n", "yHlmOGqAQ50NfafG0HrmnZthXiiYd60Er5LgQ93bZDJpgSLXZZxhtCi2JcVOP0nZuESgjm+1t06p\n", "j0ajKfBr4D9kR5BPg2bbFzOZtiUOFK0L3NO+yn7JgAgggV12sILsVTvCtWm+zk3tmWyMZiOLo4SW\n", "NEKzkUTJGTjvjoqCuVLYW6wzCXbO5+fnU1SoFaoiVe5zcHCQvb29nJ+ft8p4JoulqyB0AIkdhOnk\n", "k5OTKUfBeTYgficFBZ5mGG7K6Vux67jzfL6XI0lH4kPRf/L4Lrc1+rQiYWy453g8brtUchwbC9EH\n", "jCxGBJYIQzKZTBo1yh4mRIkHBwetH9SEJNf71/ByLhs9lpUn10vBGRMU1gpoYOjo0yCGZx6KFhhH\n", "R5H1M+QgkGEASTK9TTz/B3CjN9VJIjscZz3DubgP7gfzz/2fZ3O6z46M3ZX5Pnl8rx7rEPYgmQbb\n", "jI3n14bbTCA2YGisk+l5Go/Hbfdp9t7AiS0tLbVauoWFhRb4JGmpAOYOZ2o7yLM6HcW1HMRUBtC6\n", "Xq9Fs/zW9Al6YDvCMbbpdQyrHWEOhhhXmAjsxvn5eduzCJaD1MvDhw/beNd3FlHkCmhh522e7+jo\n", "qBWk4lBhT5GvyWTS6v7QHeZlMpk0lquC5co+okuV8aHvBtRDc1HB25C9tuwy3q7FYyw9p8g/dgT/\n", "xLP6WgASy8KQDiBrNDNYN7VP3Mo47WAKEIHDwSfX9QQ4JE8oAwL4gIb29sBDVBfnmFo1KqwDioCx\n", "syrsgo0UAz4/P9/WoQMgRqNRlpeXGyhJrqumHVG5L4wJtTTeGdYROFF6bUMUnJmTGtUPGSorEUpj\n", "w8IzeA7N2MAsHR8fN8V0bhw6mjdl8nZWLx8kmqypL+YZxmp2draBRfYaYRk4z8w4gfxhTZhvwJ9l\n", "Y4jpqFQ813MUZADDGPo8jvFc+1xf34APwI4S83017PTdm08Z0Aw5FFP6vn8FzY6uv52aDTqUvMeX\n", "NCqROs12hXRW13VtdZZBeAXczAV/q2Ph/wRdBj+wu55v/j03N9fe/A2IdyqCe3hVoefI/eMZbRfR\n", "cz+bm/tS5Z/fOc/Bhx0hsuXAroJCAKFTapVJhFH2ShfbfO8DBSDhPVtswgkzxRz5OQk42a3VNWXc\n", "g2er48BzWpcB9IAkM5QGWYyf7VINWDyPBhcc7/lx8G2fMMS+1jSer2U7wvOYIUGebEesHxW80zz3\n", "FXg+qT0zQALtOxqNWnS7t7fXCosQNtAanzpBOBOKFImgMTpeQpuk0W5JplZzMIBEFGYdMCDOs9sp\n", "MDkutCSPiMMFbdoQ+E2WGDbnS83oWKGTa3RZHRe/VSAGIOI8+mH2xgDPG8UxJlzr8vLqZXiADBgF\n", "V8JzDIpN/tV1KWy37JfaeYkl79RxWo1xx8g8fPiwMSd7e3tTy49tfJ80TmajKk1aDXKlQM0uVabI\n", "II3fKmhBQStDVyN/HGqNdLkO/WAMeS5WIrlWxEDNaQwiwQpyfYx1+Hk3zw1jPh6P2/5Ffs/NzMxM\n", "e1+UZcTMCs4NVpICRI5Fdi0DyXUNmWvckmtWzkba2wgAzOtYzs7OtsJK9raANSVAQw9hR1wMy1wy\n", "1wbMNRVVUwHJ9H4VzHUFrab8eTbkq6YbuG9NISaZGmPGgn7bMbKFAD7ALPLa2lp7fwyO05uyYStI\n", "qxscANYODw+b43WKhjHwWFRggSzSfwe1NdCs5yJb6LrtiJnIaguGApsh+2b/xHdOO9nOOLBEDm1H\n", "GK+nsSM8Rx0b7sN4PndAYmdp0DEeX72ifjQaTQkOA8wgWYmcLoGO51o4DIQ3mUa0jmQ8kQgzg45j\n", "JvcJwjTa47owJGZ8uLeVmvsicAZGOBXTmAZHjphviq6rsTGIM2vkqMTz4+8cOdqQAEIcdVThMuK3\n", "QWfOVlZWsr6+PnU/sxB1eZ/vb+rR+5TwTBW5VwPBNb0yyca5ggjAXHUeNSL0x+yZx9r3sVJyzJBh\n", "oa8sgazLLX1+Zflc/Mi/fV3GxRFu7atZnqcxJM+y8Rzz8/PtGQ8ODqaiQUffdnQG9jB2o9GoRc2W\n", "A1JaHiPPI83HA7RhWtkHqIJR/k2fWXpa6f7K1FhO7BSwJdV+2iFUp2Z5HQLjDqYMWOpc1H9Xm+X5\n", "sF6bbb1JvmzP2exxdXW11aAxx1y3srY1UHMfrcd164HKOvI9QWxlRCoQYa4MBi0v3N9jahnx3AzN\n", "Tx3r5HF2hONcu2jmfkinzBabtXIKsgbAyTTz6GOq3D13QGLETTEoD2LHglGgEppzXVMymUym3liL\n", "sHhjJEeQRoT8m+WOVhjTdN5cx8WpSRpwIap0HpVjeW8NfWF5GMvyJpPJY9X2VsiKLvndhbjVINmI\n", "oQBQxY7icHDkyhEwpzSsTFDPAD0o8GTaQBHJ8RpuGBGiFm9khWKwHwiUrA1U/dD3xcXFrK+vZ3Nz\n", "szE0fimhQa9X4zBmpmQtL44YzbZZ7gxEmCMrJmNhh1OfoSqjDUjVF0fSpuBtVJEh/jq/61UKdjA2\n", "Oga/Q47vaQzIs252cjiqvr8uvKS/pDcqwEVGqP/g7bCAE48z41Hr4AyOK3AjfctcYNO4Hk4Uhpc0\n", "KP3BaUwmk8YmeNks9WgcW0F7BcLIaU03MJaOeH0Nb5Y2FBk78HKkzT0A/sm1s6I59Wx7BqCjLoR3\n", "1FDXwHt/lpeXmw+ohb7WO8+562uwIzs7O1leXm66bfDOOaurq+29ZcyrVwdWvfLYY5eHbDfj7/Oq\n", "7lluscFDOmlWxCDL818DOtsRPwP3Z87Rh2pHfHyVPQO8Cjb9/EPtmTIkFH/yQN63gsju6OhoKrJ1\n", "4V3XXb8Az+g1uc6FW0EqRWVK3wJLzQOABCF34U/f923nUxoome9wshcXF61v5Cj39vZaP+r+IRZk\n", "JhPHDfgx0PL/XUvjaMYGhedEGTFkKDICanTM2GHk6asND+NNaoHaEO5F6oV/AwgYJwOSIUNi4ec6\n", "GBIiQtI4u7u7U8eRXzaoo37Hz2UAhoxA3wLALENNcUohl2XdyurnqO0mmazXBmDYuBmImOXBoXnb\n", "c/rgNBjGwv2sv31Y9Pqsm8cZu8B3Q4AEBtUgxjKOg+r7q6Wc3jLeMo+82+DXYr3kGpAgmxWQjEaj\n", "9sJJ7Bbyz3xzrLdDRzZJVR4eHrbAYsjx0ifPJ6DdgMXOyyyL5d36zvO5xgC5RuaQG1JddpY8a12G\n", "7jl1YMOeHwASFg7wN0kDaLZTDgisT8gMgIRdnJEhdqHGVszPz7fN0JI0e4l9tkwOMXPYYK6XPL75\n", "mOfIslQZMnR5SB+cPnNga/aM8fbeOtXGVkAylJKr9rkCWcuin6kGsje1Z1I6T0Eiio/wemVMpZeN\n", "Eh2dQIkywbXwz9QlQsNueggS6M2bIzlPz3UYdPKWW1tbefDgQavK3tjYaBuo8XGtBb+trKxMFXBa\n", "CBEWN5yqIz+vk0f5EEDntjFsGCCu7xyt882uTWDc/akGmO/MTNjYYIyov1ldXc3m5mYDoqzdZ9t4\n", "nKLnmn5j3AxMV1ZWsrW1lclk0lbVsEKHTd28lBqnQP/pqwuWDQYrbYoRRyZoQ9SoAUk1DAYMZtSq\n", "Q6k06Wg0mjIIGL4KgizHyfSLJOlLdTSMr3XNkZZrmb4dQAlyx1tubUt41sqM+tmSa7A+JF/sScH4\n", "GpgRtCBPAGz0mCDDbFpNiTgoW1tby/3793NwcJCu67K+vt7sBY4NXUc2eCNuLeA3C1ojcJ7HNoTn\n", "t+4zz3aw1Tm5T4wL/3fghnwZrNfxsAzi+GDNsS3YBwAQNWhdd80Ae9v4qqdmH2dnr4vqWckEIMFJ\n", "A2ywSS6cRY7MSlV2M7lOGfNctr/826DFfa12w7o9FDg5fW25sS31Bogw3g74h+wW10/y2HFc18wg\n", "z+2xt1y4pqmOV23PFJDwuniiBwrAEOYKSOw8XVzjAQLUWLlA1CBxOyycEMaBc03LJtPRDnnLra2t\n", "9hKlBw8eTL1xlD45nYOBw/l6GZVXl1THRt8MOMx42BgkmVI67/Do9eJ+viEAZjpxCIxYmABKrm1A\n", "2JM0dmdmZiarq6vZ2dnJ4uJiGzuW3nGOkb9TJo7KmE8ACawUS4V5H83a2trUEmfGwobRrFBlYSog\n", "8v4E1Sk7hWKFrAAFxbWjJ51Wa11clOhmloPnQd4rmMNBOnpxIW491+Nvh47M8FzPuyF3bGoHMAGQ\n", "oBPVidrR1jQZ5xFAmBWxU3HBJMEVDoLxNih0EGWGBkCyvr7eAMloNMrq6upUgaaDN8APaUhkMplm\n", "6gwy6z3RNdcC2IEPARICOhw25yMXBhT1mf3hXrYl/t7ROLoBQ4SjXVxczNbWVm7fvt3eH4MdqbU/\n", "PJMDKWwj+76sra3l1q1b2dzcbKBmd3d3Kl0LeGGX3WTa8VqfKqNhsMa4VX0zAPFcVFBSmRLGHZ3m\n", "WmZMsclD9SJmjWgGP2ZF6nFmTXxutY8GJPbfBjFD7ZmkbIzUkut9RNjoylGaUzEoipewEf2jhIAa\n", "O1+MraMWGBnfh/6YknT1en0OOylo/Sqg/r+dXUXFle7ypDo6rQrta1cBH3Ka9boWFBsvlJe58bWt\n", "AJUBqFERzAjRCIa276+WBbNDLauSPNYGC1yzzgXXpk+mxdlsyg6eTzW41WB6vIhwarR5E1Pg6IVW\n", "z+Vv/R7jYPkwTU6EWIHvTX2rBszGshrP2ldHL5YrWIXn3cxuODAZja4L46uO2aAaLDjQQc7MWhJY\n", "mI1Irvd9gaGttgS5MfPlufWHwIx5cuRtMA04cB+rE/T9K0g1sGQcaVVuPmz8+VsZk2R6EzCAMbLN\n", "vQwSPK7+v5/HG8YR4I3H48ZSA0iqrXVfAXlcjxoib2YJqHHqx4ENNrmOI88yNI5mPS0rQ/rqeaz6\n", "PWRLhuxWDeyqHTEzP3QfP4evWa87JD+2pZUN87k10KrtmRS1JtcOAEUl2jWl6DqBjY2NTCaT7O3t\n", "tQp6G4XLy8smrNR7OAVh1sQC4clIrgev67om+IAgGw2WFnpDLU8UzU681qPwOxGujaaFlXNMH/r6\n", "dmSuiUgytYzY6Nk0cAVtvDockOCCLYCfjQi/8wz0gzQJkRxFpYwfbzylj13XteJXR3dmTjAkjCf9\n", "uLi4aHuRQLUa2CFzlkPG1ykby6ajIJxYvWaNXhyNWtbMJnFNz+NNYMzL5+x0KoVufbIcuY9WfuuA\n", "i5srM+j8OAaEqPV5N4PeJFO2xM4MEIGNWVlZafVp7HVTAQQAoOu6qWJ2O5xqS6oDGdKrs7OzNi+s\n", "3js6Osre3t7UTsjVmRmIIFs1PcKY1P4YIPO89Ks6yAqKa8Di+9p2Vuba8sceIsiR00vIL4EnzNN4\n", "PJ4CHrAT1HAQhKDzvLGbF/R5/mqgaPaLPvHczHd9AzPPY9B0U/rC97Md4d5udZ4tQzUVZLvkazrA\n", "tM2yfa8peuyIazvMlBl4mG2pz+M+wL7VuiNAIH4OncTuP6k9E0DCQ1nZoM+MphCYtbW17OzstEp5\n", "bxdspRmNRu0ayTSdBP1d0yGVmfCAz81dvdgKytA5V2+kg8GpUbHvQZQAGHGKgFRSNWoYHoo+nZuu\n", "aBpgMDs72xy46X4ExGmRqKj6AAAgAElEQVQBj119Zu9P4sgSBeaZDEiY0wpIoFe3t7ezv7+f+/fv\n", "t8JTdlQEgHIvz6mZGO/DUQEJURL7FdCf6mw8745cmTPLgJ28W53nOm+0Gh0MgWHfh2tUZsjyaeNZ\n", "8/W1TxgB/14NCXNo41UBiZ0gfft2aAaeyA/LQc2AuC5ka2urpT8cTTuym5mZaTstV5BhQz8EAGhm\n", "DjDWODXkk23Nd3d32yoay5vnyHVA1TlV4DsUaeMESGEzXvX4ymQAGgxKLIfct443tsI7Jhu0z87O\n", "ThWxwlRwDQMSVtJQxD47O9vsx97eXvb29tprPZBN1/w4EGA1le2Z++WSAuyS2YTqOwz40I+hQGjI\n", "jtDqXA3JpMGE59zBohk5QIprNoaCLRjjylZUW2WZ9rMYoLkPtaSggjd08EntmdSQoBgIhI2Ft/OF\n", "yjcteXZ21owOewagDBQiTSbXKyIc9fGegSRtEx0bdadYMBbkE9k1le3mT09P88477+To6Cij0ajt\n", "G+C0B+mE8XjcqMHJZNJ2JWXSiB6MnqtRwmkaHKDQBh6V9aiOqgokz2rlMbDg/jAS5I+Pj48bSDs+\n", "Pm79WVlZmVImxg0DxzbtdemgIxDuyW+wLJzDNVjBhJJ4RQkG0FEXdK6L45yHtbGodTA2FgYBjvTq\n", "2NY5qOwKvxkQGkw7z+xoyeCPa/resE31Gja6yTRFbhDicaB//K0R+fNs7lty7WxsS05OTloRu3c1\n", "BdAawCCj1su+71sNB2NFgIJss+Q0mX6zanUKrJIhGMH+7O/v5+233279cUEuoAEnSv+StPe2wLSw\n", "rNlzTrMtsX7ayWIDh+bcMmyAXGl3A3mDo1q/hH657gy55t0+sKW25bwMk1o8n88c1dSW2TFeUcGK\n", "x+R652yejb7xPTLF+LsQHfaNZ7OOW5Yqe8l8mMG/CcxiR/xxMwCowUkNON0Hg6jK4FYg4+COD8/t\n", "ALmCdNsn5KQuoHhSe2ZFrbyNEoXHiOBsKFIigkGoMQLLy8vZ3NxM31/v9WFkXFdVHB0dtZcm4ThR\n", "REd+zi9zHoYEoWQTtnfeeafdzy8FdJSBMfP29hSiYTAt5Mn0skH+uv7B7ANOGfbGDrAKP83Cwf99\n", "X34zQDLtx3JDIrokrbh0dXV16h4YDISSuXceuzIVNp48K4VkjIkBUU0lDAESDDYfP6+ViIbBGWJT\n", "KuNkEOvr1aiGyNssIcdXQMIzOQKjzwYgfo7qQMxwGdDaoBiQYHR8PRssZGBovJ5H4xlrRIwtQW+P\n", "j4/bW1gZu9Fo1OaXXYOTTNWKGHCYssYuACyItpNppgCAA0g0O0qAMhqNcnBwkIuLixZkAW4cnQNI\n", "kB3syPr6+tSKxCFAYtbONoEgAIYTfapFqjcB1RrY8Pz8bhtjW+tzkVEzUN7ozBuUMZf0GxbDRd/Y\n", "R29Uhg3hugSsANWjo6PHUlL0C5sMe+PArO7tM8RQOrAxE+u6tBoQGvCZBfPHoIdnrywI35mxMeip\n", "AKLOIddlTLAZDhxtTzjW8lJtk3X22wKQ1OLC6oyGPkTF0EEov3NiCMrl5WUrUJqZmZkSHgaBZaDV\n", "UQ/RcHUC6RNoHYWmIt4FTyi2HQBKAkLHwZP6Mf2G4UTgk8eFtNKBpta5Dt85oieqx6FzHRxYRcSM\n", "dxUmrkVqhs2L+r6figj5UHDKbwh9pSp5Hq7Jtt9EkYyt857+v+UHpcV48WxVeeq9h1pVIFOS9buh\n", "qJJ72WDXCNSA1NGHZWDIyFRjxr0q7WtZNjgaMiQGqXZ8N43Ps2weF8+fgbvpduwHTIlZjypHyJcL\n", "6kkFWrfR/xolJ48HElWu0DMY2L7vWx+ty+zn0XVdAytJ2ooPWCBk2k7S8zgEYO0Uqy74GPefZ7Rt\n", "MLNSnZzZAQMPR+2wyezevL6+PgUEsR+2P7yvhv1AAPzYYTMsS0tL7bqAjPF43ObUTJvZCew1H+zZ\n", "0DkeOz5mMt2qrg0FjRWMVBvhgMrMnK9re1J1x89Jv4fsVb2G7Z39ZZ3XKmvcD39cU0RD7RMHJAge\n", "D+Jd7vid3K2V3VE7QGNvby/J49S3QQ7H+dXVzh0yuJWB6Pu+bRoGYDAKZGC5N/1aWVl57C2cyfC2\n", "3sm1k0/SGBr6xxhURfG/6T+04mg0mioSJULwsURudtAWQCuADYnHOkl7Xn9YbcCxsCiOGHj1N6DE\n", "BcEcB7OxtrbW9hPBiTBmTrUYYCBDdhTVUNs5VCNi8Jhcg70hpoM55LjaKmAcUt6aMuK4IWfC/Ti+\n", "1ojYWFnOh4BrrUPh+aqT59kBlDc967Nujja9vJ1xsy3B1jhSYy7Oz6/eGmsA6GO4z8XF1TtPYFEq\n", "85RMBzXIkN+7Qi0YY2qnxm/eLA020nKLrQGsV/1A9+lHBSLWZbOyjoIJBLElrjurwY3BqmUIZzcE\n", "SGwPZ2ZmWm0Pn/X19alnIt3Os1QGGztGP2GUsEvsf7S2ttbSbeih2Vo7XsbYb3JPrvWvHm+nXvXM\n", "39H/ZPgtvkMgwt9bTs1cmh2r8ujr+N/YEctwtSNDgXm1lVWen8SSwBbeBJbcnklRK5Nr4eeBZmZm\n", "2q57VKajFHb8Lkjz/iHn5+ct14eyHB8fT0XO3Lc6AQtQkqkX9tlBJNPL5/r+Ku00Go0aFUiNg8EH\n", "xgQQ5sJSEKNTO2Y6PLE45CHDV1f71N1Izb4k19vEV6EZisrtPJNMFQkuLy83p8C1obwtnDAVgBHn\n", "YG1wYbnIJdsYEiVVhoTnYI8G5qT2vUYkVcmrEtbIDtkyKKzjVUGElR5ZdZ8cdRgIDEUsjMEQi+f+\n", "2rFgKKox8TUrO1OBKIDEK2+ed7P8W0exJYuLiw1YzM7ONr3k9+T6dfTYG8aMj0Et0XhycyErjTnw\n", "FuUuSueazA37MhnwXF5eNvbDO6IS9cOQAEqcZrBe8X/Lsu9vmcNGOaqtQZwDOWzL0IqJId1yn5g3\n", "Fi7cvn07q6urWV1dnQLMXNtsDmCtMq2kV3ix6cbGRtbX19t18SM8S2U7aHNzc22Fj4NmswDVoWJv\n", "KqivgKQGRkOpk6Hrc4+qmw4qbrJF9fp17ulXvb+DMz/3TeBo6Dn4zgyJwf5N7RMHJEdHR1OUHx1a\n", "XFycYjFIqfA7A+53yiSZSpmAeg14lpeXs7293YpkqWGgMagIJnQfQAfUbXaB7+1oURDqWfx8Zj3o\n", "H2/zxMhxnRqReaWFwRT9ttMFuBk0kLdGgAykTPtXR1QjY1JUGEe/R4IIkPfWcBxV6kQhBpXeSwOD\n", "7XfcQN2SU7cBQk4wlhSpEhGzUog6IbMRdvDVUSNnNlJDylq/q0bAY30T0+TIaYjiZrx8v5qGsnOx\n", "rtTfqoHkHs4Re+49XgZQNWp63s1bwZu189tabUvQcyh/716Mw0e/sTfWNerW9vf32zW8/xDHoqcU\n", "sQOMYBo83g7GkrRrsmKM6B89sQ1aW1truoTM+hUXnmtkyra3BmNmU623SQZTdQ6kHNz5mga/ZjY5\n", "Z3l5ORsbG21TsvX19ba0dzKZNJvNedYL2xJqTWBDSM9sbGy0HVgNpAHXTt/U2jPsCXsncU832xI7\n", "fQcrzC3j7jGyLtd0Sw1qnApxXyo4MQgCAJgh9aeCFuu2fcFNzCnP7v75Gsybx+Sj2JEPBSRd172a\n", "5M8nuZOkT/Kn+77/k13X3UryPyT5jiRvJvl9fd/v1vNxaBU9np6eZnFx8aoTs9dv08U4AEQYXFOl\n", "RAsMElXqo9GobfObpBmq5PqdEdwH1AbVh2M0o8B92djLggi9OQRIDEoo4LWzh8GxY4MF8LJdK56V\n", "HYBko8H1EQDuj5Gpws+/nSsmQiPNwjbvvKfGhWceNyjRujMsuXDGEJTM+YASilg3NjbaWOM8DHTo\n", "n5fnLS8vt/lme3pHuyiGgUQ1IlakCiSq0g5FIz6nRjhDoKSmS7i/64rQicqcJNN7SgwBIu7r+1dw\n", "Znn1fCEPyFE1ZN9s+7h2JLlOcXiOR6PRFCXvcUPPKaquNH9yvQUBQMVpoaWlpWxubrbUDWDEqVbL\n", "AEWQ/BtgwZxgF5xLr4DENDznWF9WV1fb9vEulHcq1oGK69p4NgMUVu45qKFfBujIxJDsDoER5LzW\n", "oM3Pz2drays7OzstpQKj4VozzmEMaZVxJpAB1GxubjawY30AkCDX9jFJpvZeqqlomvWvNvuFykBJ\n", "B6YYNl+n2hT+PolJqYCI56r+6CYwYDDjvvmaQ2DGgU21j/g4y1Flap/UnoYhuUjyh/u+/7mu61aT\n", "/H9d1/31JH8gyV/v+/6PdV33HyT5Dx99ppqNtQeM9AbCxcNQxEgaxktwrVCO6rxCwsVOOO46eQwo\n", "g4WyG/0hVI4e/Cyj0Wgqv8zv9MnKZMdPwRzfW4i9PMqUop2I88UGTQYtVhynCUzFGbXyvBgyjELX\n", "dVPbJ7M3gFcMGJW7oHUyua4nqTUQFKD5RVkwP1zLLxbjvNFo1GqEGPtk+t0MVpJaj+N5rcrP3FUg\n", "MgQ+qgL7uHrdalDMonnOcDxcw/JRIyBaNXr8Xvvm/vjc6kicYmJcPb4fs30sO8LY2ZYATo+Pj6cA\n", "LuNOEEJKGGNp3bF+2IFaHgAtN7Futj/ot1OTptg9p8zD+fl5Hjx40F4vQVTP8nVsAvPjFCfsq9kI\n", "L2E1KLGNYfyoVzGL44iZ5mfwXCTTAIfr8jFrNTc3l1u3bmV7eztbW1vZ2Nhom545ReCCeNJrOGfk\n", "ETsEoNnY2GiMCzWLgGwXtqNbl5dXr5sA0AJUPf5O+zNnNbixDg3ZDuZ4KHDxON/kqG2fLX/Vwfua\n", "NSVe+0EfzbgYeDDXtnNDwdZN/fVxyCvz5pWcQ+1DAUnf9+8lee/Rvw+7rvtqkk8n+V1Jftujw/5c\n", "kr+ZAUPi1S0ICMzCZDKZyh0SKXgXVyJHmqM5r8JAqLzMk+V5NgYGRigSDhFnbKBj2tXMw2QyaVsX\n", "+5XY3AOHPplMpnaATNLejUOkg4F4NMbt/uS/QfL0x9Eg7IvZEwOpShc7V2xHyWZsriqfn59veViK\n", "Tb2Hg40xfzEgh4eH6ft+anOnJFPRHjsxrq6uZjQatev4rcldd73rJf28f/9+GxsMP4LOGOMcPJ4G\n", "ZgaJNylbBRk2BNV5D0VClnmewwbD1/AY3QSE/CxDIIj5GAJK9ZncZwMg7uWo/mlyvx/WPq4dSa53\n", "R7YOY0u6rsva2lp7DoKeruvaXjku0jWQBkBwPYNfggrYN9sc9Bsd5jgYYBqyZ4BtObq4uMi9e/fS\n", "9/3UC+RwkF49hKNFvrFxfd8/lvLlGcfjcVvuWlmIuu16tSe+xpADq9E7gMJpYzY429jYyJ07d3Lr\n", "1q1sbW1N6X4FMtgRmJKu66beIA47CiDZ2trKrVu32o6szLU3acNOzM1dvWtrb2+vpYCZd8aY/nAe\n", "z1bBpVn3GtTcFMhYn4dsTG3IGYxzZaJ8/SGHj77wb/yDgWQFJMhP/U36PPWMTlWbOOAv339La0i6\n", "rnstyfcm+TtJXur7/v1HP72f5KWhc1wMx2SZ1iFaxiiwCgMg42JQrsG5jgT4ztQ76QUXydoQMVCL\n", "i4utQKxGTQgq94d5Ibr44IMPsr6+PuWEMCYAKtOGMBoUYLngpxbqHR4eZm9vr6WFMLJENcl1ZI+j\n", "5TpeGsdxVjbnATFmpEc4Z2FhodGqZjJItdlwGCB6u3znZHk+6lEAOLz8C+PB+Rhe1/GcnZ3lwYMH\n", "rb+TyeSxtJjnoNKLKHSNWoiCrIg3OfRKY3LdocjJUbkBSI1ecILJtCIPGSj309G2z63y6Pak431e\n", "dU7fqvbN2BH6Q18dNADQbUtwzjgx0gUuvDZIQN9nZ2fbfDn96RSxU4HMOzaHnYVd94Bz8/4UjO3s\n", "7Gxj/XgFgh2n36WSTBfFUqvCMxtAIWvJVXTN7qbsxcFeLd7ng2MNljw21akNyRG2xEXDi4uLuXXr\n", "Vu7cuZOdnZ3cunUrGxsbLSjzVg3YjcrW0h+n10nRuIiVVBG2knSdxx27zH4wAAyvBmWskwzqJXZE\n", "Mv0Yg1cBSQUdNRiyDXHqh3lxypHzzIZwTbPgT/rrvvtvfSb3feg8+mv2xmDGNZkfZkeeGpB0VzTr\n", "X0ryh/q+PyjC2HddN7hz0k/91E+1Qf7sZz+bV199dcphG/EjcEQzfd9P7Zbn6MS0kh0x1waoeLDJ\n", "Nde9Kew8THOCJD2YLjbzngWACiYbVgE0Tk4XlEuhHPejjgJqE+qQ92HQHj582OjdSpPWiAWhcCGd\n", "K+NtUCs1zFx4jwCKUOfm5hqbdXBw0N7iC5gBtGGgeQ4v7WVsXLjq8y3MjmpYsgkgHI1GUy9p5DmZ\n", "N84xULHR8AoKK3KNMm04bqKynbOmLzYqzuc7+uQ6FdS4nsMFigZBzkMnaasynFLzMZZjy99QPvjr\n", "X/96fu3Xfu0x5/Nx2jdrR5Lkl3/5l5t8b29v5/bt21N1VgBWxt6r8bque8yWwI4MpfGQ3dFoNMWq\n", "ME6uT3PhqoEtcsH16xibfULmqVdB7tmbg6XBrqGyTUGWx+NxY2z9GgDXcQHm792718bHgKemtWq0\n", "zHGWbTtbjmMreApNX3nllZZagVEmfYIdOTw8nHoTuAt72VJ+dXW11ZwBSGZmZhqgo5bNAMpghECF\n", "t0bzfAAaF+D7WX3damftJxxU+hgHOh4zX6Omu2i+r1Pg9fq2CwY+Dly5t+esfo8d8Tj4HjTkx7YE\n", "m8b1/+7f/bv5xV/8xaeyI08FSLqum8uVEfnv+r7/sUdfv9913ct937/Xdd0rST4YOvcHf/AHW2ed\n", "o3O0iPMfjUZtHwEcBZE075Fh4JxTRaFdVW2DgUBCV3p7c9NWVSgYbBssCyyAhPsxaVwbp4vgVwfJ\n", "csTJZNJyqQCB1dXVqVdfc6933nkno9Go0Y0uIq2UoQEJIA9Ft2Gx8TTTsrS01KIPG37G8vj4OLu7\n", "u82Q2CiThgCIUJBHVfzq6mouLy+zu7s79QZgxg1g6hU6jB+A5Pz8vDFpRIkYZrMT1LJ43wrPd99f\n", "76zLmBjUVMWugMQFk0MKX/vFOFbj4XvaKNTo2kDDBgKZtIPDODhiw9CYXXQqiGd89dVX89nPfrb9\n", "/yd/8iefxlzc2D6OHUmSN954o/WZ+eIvuszL7MxWoL8sVWc1i9kRL32tMmwwQSOap5nCR6YcOda5\n", "spN0tH1+ft4ACavPAN2u+fAqNubXzAmr4fhLeod+UCDMNWEkzRRVpg5b68CtpiJoABKCmp2dnbz8\n", "8svNBsBqwqjw0ryDg4NW9I+u0H8AydAqHYCMd3QmiKrBDXMEO8R8kHYzILG/ISA2+0QDMLCM3E7c\n", "rBb3qmwKYwroMSCpus5vrsmosmZbBKijH8l0PUcFGth6p7BsC4eADn6tLg4YjUb54he/mC996Uvt\n", "+B/90R+9ScWfapVNl+TPJvl7fd//cf30Pyf515P80Ud/f2zg9NYqgqu0kQWmCjhKxuZhRPpMPNTe\n", "o/424XJRkmlMroXweAC9S19VCBwrimx6D4F0UWaNZgEQsAs4Ut6VQ5W9mRyuw3HHx8cNrA3RYQgs\n", "BmSIcrPDdUW7i01JKXmfEwTv8vKygRBAVV0+aCdJAR4Aiz5TkAiYcS0IzpHxr0sbURYA4cnJSVMi\n", "P7cBBNfCCDtSTaYLXociiirPlREpejPIcjjqQTaqHvh+tRbIgIHz7TA4xqyYnQkghRx7jSZrWol+\n", "VCbmo7ZvlR2hWacAVET21lmeyeME+PDY+jcCH8+Bwb1BUNd1LS3hNA/9MMNHv0izwOCYtXNdDE7Y\n", "wMN2BLvndzXZ+ZyenjZAwnH0Dedq+a30f5VVfzwHlUUh+GDTszt37mRzc3NqQ7fxeNzkDyDi3Wu5\n", "Pv2i7m5zczNbW1vZ3NxsqWDm3innWscwBF5pzE/3iOmuiyhsE+w/+r6fqk9xkOHjqyN3vypg9Xj7\n", "31wf4PJh+mg2q97H97eNNLtVn9nPgN3xUvi66aZtH3+fhmV9Gobktyb54SS/0HXdzz767j9K8l8k\n", "+Ytd1/2bebRc78MuhMNOHt+HH6GDXSBadeqFwlMGwiADZWYA7RwrgwIQYA8Lgwvvj0GUhQGhYMqs\n", "DuDECJd9OS4uLprzNbVPgdnl5WW2t7ezvb3dlPPg4KA5buozACRLS0s5ODho1CSAxILC2CbTziWZ\n", "plUxfOwyC80LewFDgxIghLwj6ODgoC2FTNKWThqF0we2iKYOxWCE+3uHRM8ly8CZJxTFwDG5qrfh\n", "GXhmO4PR6LpWiChsNBo1gISscZ5ZiMp24Ohx5MisDQt9oI+ASxfdVgqXebIx9ZJJ/wZ4q07BDgY9\n", "4P8YUXLr6FI1RGZYmIuPC0jyLbAjNmg8KwCZ350qQE4YJ+YLPXcBN9djDJCFruvaHDDusFekdJBr\n", "WEicqm2Jl8r7eM99ZfWQaV45YTuCrdnb28vDhw/T930rEr28vHqxZF2aT9BG8EANhcGsHVPV4wq6\n", "k+m6B1jwtbW13Lp1q218xr4g3kkZW3dwcJDd3d0cHBy0dDysBnNFDQ/XhRmh0J3xwi7azqO/zAfv\n", "VKPf2CfmA+YIhsqO2d97u4PxeNyAn8fNoGbIlhhU19IAs2aMv9k3ZN664b66Ye/NgtKwCz7Hts7+\n", "zkDLILCCW8a7EgEVlA21p1ll87eS3FSJ8ts/7Hw6WCkqIhsmxc6zRsrJ9KuOjcKSTF3LtCID6IEZ\n", "WoIEVVcHkmsBZhA4R5N85+Io59H8TDZ2bNxGWgSFTtLSIURAABJvbe9re1wR1ir4FgbAiFNYgBGq\n", "3ynU5XjGHAPiLZydUmHs6ZvZEQAH6Rm/l6I6D1gXIlkzH8yToy3mEGOGzNmw1FoDp+yGWDvGznJs\n", "5eY7GwHTsjZkTp3wO/JtQOD7DkVNlSExQOI8y1ydf+TMFD36MMQs8cwfF5B8K+xIMi3zPJuNJQ7B\n", "Y0URtu0Bm4uZSuda3vzMwQ33d9Bkij/JVPq52h0+sCSVvfIKOObJYMhzT39PT0+zt7c39Wz8xr0o\n", "nHWqOskUQObZuM9Q1O6o3v30sbOzs1lfX89LL72UO3fu5M6dO9nY2JhK0VxeXu1GC5jCFjLmBBno\n", "LMt7YUcIlkaj0VQBvdPR9hUAyL7vp3ay9tjbLhBAVFYABsQOFkDr1aRDbIj13P+v42y77WYg4Lnw\n", "fNUAh1Z/q3bEtsLX9Mc2ABtIwAxp4LHxdc0Sf2xA8nFbpW4MNFz93D2iy3AssBEIsSOU5eXlqevz\n", "1+jPiNRChdKB6EC4GKeqYDYKvh4si9++6RwsDpitrIlMqXCfm5trkQ+oneY3WvLcUJG1piXJVCW+\n", "QV5t9M8rWojw1tfX29I53gfhanfOo/jMUZvnwOmt+fn5luMlAhmPx+2V4kdHR5lMJi0NVhUXwAcV\n", "b0Vi3Cz0rj0yO0YkhQHx2DDX1RAOsR2M4eXl5VR6yDLj+gGMllMkpMbs6ABfGFHLOsbR0T/OtBbu\n", "2enZMXEfZMjsnhknr/Thmh73593sMG1LeCazDIAKomvbkqFaHq6LfmOHkkzpIccYQJj9Yt4tP5XF\n", "ssPiWoAmfoPdcDE5v5+dnbUVb04Z+5UXyCx7eNhuMI6uKTOAp76oPsOQw8XmzM1d7ZZMiuZTn/pU\n", "dnZ2sr293VhRgyxqRvb396feEG4QSeqYAtbt7e1sbm5O1VbxpnhS+AboDhz5jTnnOQgmeSbYAACc\n", "bSnXYOwYIzMdyFlNmVZQYBDNObYHlWm2HuMbrK++f7WlDuZhnh1g16Colk5wnp/ZJICBsG1QBT5P\n", "054JIDErgTE1mjUFdHl52TYyspP2Jlg2ypVtod0ESBAULzOz8tWcvauemUz6DSr2MRxnQMLE8JK5\n", "g4ODNuF2FGZQLIwIRaWmbSTtpIaMn9E4BpSi0ApInB4i+mBNPytqbMhonptaEU/qBSOyv7/fDGgF\n", "JJYbUkF2Rjw7MgE1Xlk3lNFj430NkmtAQt8dcdvwGpDw9liMm4tCncahn8i1K/oNoAxIkCHrC321\n", "IWFeapTHWOKEGAsbE7N16B+RY3WWlZF4nq2mlJCZuvJhMpk05o+3UZtVMBuK4XQAUkE/dgFbwph4\n", "vrzM3o78SWxCci3nFLRz7NzcXLMf3oiQwI3vXRhKSqYGfjWa5q9/+/+pe5PeyLIk38+uO8kgnfSJ\n", "DEYwcois7l5XfwBtnoDW6kF6S+0ELfQBBAgS9PD2AqS30Wd46JW00qZX2qj2ajRq0Q1UN2rIysqM\n", "gYM7ZwaD9KtF1O/47xqPR2Z3Vwy6gIMRPtx7Bjtmf/ubHTuWB+tWtzlf6F4Ygu3t7bK994svvii5\n", "Hmtra6Wi7M3NTalKO5/PC7uTvWtC5bnw2Xg8Ls9GJ52fn5c+2EBzsVYdnqDfjB3OGXOKI+Zx81jX\n", "AAnPtHORQR0Xeh9HAHDLmrVz5XnjfTN23NuAyO2h39gv7IVZwpoMYJd5pvPOMkBn7J3H5M8MAt93\n", "fXBAwiAxcKZ2fHS9vW0oPZSnk8IMKri/BQPByTQinjjCTsgBwUDZOFN4sVgUo8nWUgySPW0YB7xf\n", "ci+YRAsvlw2TE/A6k6P8h5pnxaRjnLOw8hwbS+fkOKZN3ogPlmIezs/PS3iHYmS03ZQ1L59RY0aK\n", "35NF7wVQ88JrKB/vw4vXdUjov5kMMx+OhduzqS0UGyRAo89WAlR6y5tl0IDa3rdBBu3gO26PjaXz\n", "WwyYec9Je6ZTydGxYrDHmMc+KxGA0+cASDJI4GJNc3mtkECOHsrsir3ADEYAH8ga3+d5a2trRUnb\n", "uUAO0SXc+/b2tnj31N/Iu1vQF7ADyC6g3HJmOaZtyExEdyu5w6HZWTPzgW6wTPuyIUdG19bWCoMB\n", "K0Lod3Nzs+gnCklyJAV0v/UIzoUT6wnR5MRT8vQi6km3uc2MkXMmGHfmqcayMdbWPX5OtmH52R5z\n", "nAjmOYdM0FtmZWosnh2i7Ly6XXbwkAk76WaGfE9kGJ2NHvH9+I31SA2IZNbmfddHASQ0jolnQDld\n", "N+d/YAjbti3UpDQ9VIQAACAASURBVD1Y02FZiSA4TrC04YK5QDig/plwkHH2VNu2LceJk7hKe9+8\n", "eVNQOtQl/XB8056cAQmVT60o7u/vS/4FMWDHNSO67BKZ9jAA9mrNIhE2QEhcLXV7e7uTbPf27dvC\n", "6LhWCPfPYMSJpjnj/+7uXalm6q94vi3EViYZvftZOYEWA+PwBIXZMhDheQYkNS8Qecogx3JhoO3w\n", "C8qV+2IEAYKrWAfuxb8ZByhtK0X6AvhjfNilQfLu1dVVUfL83n/dfitIx38/F0DitW+lnXfN2MG4\n", "uLgorCVjn/OHrEswTBHRmV8/C9YCMIIRAZBghA0gIpb5aj6PxtuPMbRN08R4PC7OlEFPBtD8O+eh\n", "+CJ0ZbbMF+OVZZ2x5POI7um3OB+TyaQksZJ4ShI5uoOdeRRkc8l2HBlYIcLGvKwj37x5U3b4OdRD\n", "P/yXKwMLhxA8HtnJYxzQ0wDEDOStR7LzaPnNoX072VmPMKeE491+wCC5L9mhcJsMOrkv7xtcOS/K\n", "+v/s7KxsQMBu5zoldp5oT9Yjbueq64MDkoiup8tix6MDLTIwKABTaCiNiO6WRn5rjzKia3AwxE2z\n", "rEMAOPGZBzzXzIfZBSoD8n8nRdpIIUwoFrfbiswemBOtMLCZFWD8sndsw2qwwniacsNrBtzhgYxG\n", "oxJWQRDJoAYZu3AZc2D2CoPoLZeMj0M+V1dXRS4yqvYCzoAz9xfBRkZs/E0xYlDtOTLu72NlrHQN\n", "9CIeVlXN9KgXquei9swMxDJg9XtWOvQps0beocF5Px4/jwNttVzZe3L/awzSp7i8NjMbZR3D58g9\n", "QIv3rIjRLxnwc5mNc7jGOwF5n7FGJ2QGAsPGYXI8l3abUQWsMJ8YAfQnRtr9cGmEvJ6yDK4yYu5v\n", "vrJXTVK+d9RwajdsBlv7yRtzXSZkkF1LZmypWQRrG7Gs/0JIzoApt5O+2fHIzFL25p1jgh5xfoqN\n", "qg1vzaHKsojsZVYn65zcLoehDKTyc9/nOOT3/Rvk0mAMUuDs7CzOzs6Ko+66LnzfjGtt7Xgcfuz6\n", "4IAkexj5AonmeB1KAkYCw2Rklk/arV2wB6bfAAdQijyLhRix3F6J8d7Z2Ynd3d2ifLKHbnB1enpa\n", "vNXxeFy28bIgTk9PiwLNE0qbGTMWrmN2vmoeQabsYEag36iUSvlmVzqFWj07O4uTk5OiPOivF63j\n", "kVCtGZAYjAAMM/1o8Oj3AJNOKraXhiHGq2KxM0dm26ws7u/vH+yQyNS980IsNyhOWBrLDPfx4vTv\n", "rWgMYBgLjwvzZ6NrQ4j82NASSjw7OyulyMlPqB2ImMfEXpjZzBp79Ckutyvi4Y4EA8es7Jkr1lPb\n", "LvM0Ipa5BAaPGeCgg3L+m2sU+XeMJePOXJCvBavqHDYcq8ViEVdXVzGbzco2YR9GR6InrJf1CGNj\n", "YIEuYZxWXQar2cvPBrbX68VwOIyDg4Oyq4bzZJqmKQ4NxQ8JkzMHznti55ELJ8LYkhdlMJLzhiwP\n", "GcDTX4dCzGgQgvM2bfprWXBRTTtGZii99p0/lp0MO284sA4b+ZXH3v3l/zAQBiUZ0Fg3OaRs+wmA\n", "h/U/PT2Ny8vLIsfoHuSMcbSzaGeG79TkqXZ9cEBCjMteGheTls9gsNJmO1hEd3+zY6soF9/Xhguj\n", "hgC5eqhpd7eTRY4B2NnZib29vVK/AuFhwXuXi6tFEhbh0K1e713tC8ciAVhWHhHLxCeHo3xlhWzj\n", "5uQo2gQw4NyHvb29zpbcpnl3wOF8Po9Xr16VyofeiQT4YMysaA1KmEu2MJN7Qvvcfhs9xsOerBW2\n", "FSJgEUDicBIvFphlyGyOGQbagYdgJcKiokBTRDfhGS/DSsmMjZVkVhI1uTUosbFxTozlgNAjYTFC\n", "Yxgw19ZxHlGW/WzIzAp86gsGwmFfXwYkDkcBNjDI2as1OxrRLaRmuctsXQZ7DlEyjwYkhHNHo1Hs\n", "7u7G4eFhRCx3v1n3tG1b2EQAiZ0o6o2Qr2bWzONlwAlTtOqykWV8s4dvGcXhevbsWTx9+rTUG2FT\n", "wvX1dRwfH8fJyUk5R4dQKkDO+WYAkuFwWEI1jC1ze3Fx8SAM5jbzf+SWPjkUwrx63TpkhC7HsTFr\n", "4HwqAIVrzTg0bJmxTODEsXU5A5ccVsp6yPcxy+zf2F5Y39YAiYGE8wbRIzc3N2UucDRZM14f6DwD\n", "EjNKP0WPfHBA4lMv3QmMk2OzoOGI1ZPAxDGwhBlc+ptkVYTeCyzi4bZBo2QECpC0trbW2YbrwmdO\n", "3PTiBU3PZrPY2NiIvb29ElJo27YIPWDt+vq6jIFj3Flxcnkh0v5MZWN0XLwHr4r6ANPptAgRyWbX\n", "19cdb8ZgAKX59u3bMt5OQGNxOZbvg/IcFsjhmlpf/T6AzSG6zAQhY84PuL29LQqF8ccrY2F54fPc\n", "3C7Tkx7/bLAioqO0PDfZa7dn4t85Tk17nSDsHBOvJ+cHbW9vR9u25Uwle25W4Faefr/GZH3qi1wv\n", "2mlZj1iOnxOrbZAy4MPrRg+YyWDsXZOENennR0QHiEYsqwgD4LMhj1iyPXaWaBfytlgsCmOJAdvf\n", "3+8Yb3Qm4WFAhx27zIZxrQLA1iUR3eTYiCh5Z7u7u/H111/Hl19+Wc67atu2hGVms1nM5/NOAqt1\n", "AOPADh2YW1dzpmYRgNvAwKAvhyssx/zfToNZM693z4ENtj834AGUmGV1G8xgGtyYnbBD4H65/Zll\n", "5cp6xOOKHkQWkE/rEZ5l3Q6bHRFFTwIQcz9rbE7Wn/7uj+mRjwJI7K0gGBgWJwiC/J1Y6sVgOt2A\n", "BNq+318eO81ERHQzkxkQvGt7PQAMmAKYDjLiPWGUHicfhP7RJ7a4kUjGYo2Izk4WFhqIFeEGpWea\n", "Liu2iIfJSyhg+sB4cAYEgGR7e7vsniH5kSQmEgHNBNlrwCN05UkDEJe0po3cpwa2WLQWYi9oAMmq\n", "nBKek5kn7uOdThisLB9cZiRQ7nzXeSEGaQYh+a/vy289X6Y/VwESy66Nq/NlDNZJhob+thdGW6zI\n", "sxL8HABIvnIuSPbEzLABlJ1EmI0hIUXmwWG8pmk67BpyEBGddRaxBCR85vySGnPL+AI4YAwsb/QN\n", "QLJYLGJvby/adlmjZLFY1jvCgLOTBz0CMMq6pGbgLNMGpR7npnmXi/f06dP46quv4vnz5/HFF190\n", "8mlgRDlhmBw01l8GXxQ+o2bRYDAo85VtATJvQ1wDH/y1HKNHqO3DONScvuyEeCxomwGJ9QVXtjl8\n", "B6fBusv60c6B5c19qzlRWT4BPWbQDAo8pjCIfjVNU9hwAElEPFhHll3kOuvxn6pTPkrIBiGoCQqD\n", "hLc9GAwKw+AB84Q5idQJhNnb87NMy/I8e7p8B2U+Ho/LTp+suDOQ4tmLxTLHAoNMeXU+cyY5CbYA\n", "EkIICJNzFLLxpu8onBxiIBMd5cKi393dLUlnTjq9vr4uB1Q5RJMFirg7oR7A1draWukzp3W6oFfN\n", "czB4yorF88GcehFnbyUbdyt9+mKl6isrBeSSufTYZuWdwWHt/m6Pf5+vrGB5pgGRQWJeDzbIsCpO\n", "Ll4FlDyG9nSsGD+XkE0O69bkxcydqwFnRWoZNeiwYnfoKqKbm3F7e9tJIrUBIw+BNYdcwY566ym/\n", "ccKxn4UuZPs9a4HCaU769DksZiGRlXzZWYuo55cgYzxrd3c3nj59GgcHB7G7u1uS/QnHUK8IXeKN\n", "AoAC1z/ixW4aHEs8dX5fA/i0nfW4yhD6u9bnNYOZvX7ml7+WxwxmkI18L/S0f5sBX3Y83+fY+JUB\n", "Mt/JrI5BivWGk3fNQNNuHGSYpdzG3P+azfR333d9cEDC/nEQPJ3NXh9CSo0QvD6DBv466bBmIFAw\n", "NjQR3T3e9rQiusBlMpnE8+fPy7ZJKFLTVYAamA+eB0AhgRQjzzZhmCAMeq/3rvyxFSHgBI+HJEwr\n", "MbMUjIlzUDiJd2Njo1NUyAdSwWSwBc87Mli4pgPb9l0IgERdlCsGj4JnFxcXHXCVF4v76qqDuT5H\n", "9laZp+whW+BzCMbzSjt5LnKQ5YfxZSHaq6QNXP4+i9fGe5WixEjkdto44Il5R5oViQG7FQ7jy32c\n", "zJefaw+JUBxrlWfkeflUF2vQBiii63n2esvcBM4usb7IDIUBScTDkEXTLKuceqy9dR1Z9xqFtd3f\n", "3++AdRtexhrdB/j1GoxY1jni/Ch0iesIcTYPgCRi6SyxfvB6M1hxPoGZJvrOb6nCenBwUBJY0WGw\n", "SbDHBiIOIbFetre3Y29vL3Z3d0tY0YXeYFgMsLkMEOmL86LyGqSPnu8aEOHyOuIz2mB2FzlkvgwO\n", "DCaQDeem8ZkNNu9lxiH32ffm35lVMSAxYGZciCR400DO9XSfrTeyznQfzBYb/KDjneNUuz4KIKFT\n", "Vgy5cU4y9ELIg0+nLewolIwoDYAiulXurLQteL1erxzctL29HbPZLJqm6eSXZEDCVksDkogoW95I\n", "DsWTwTvY2trqJJtxfxSv+2nP38YvJz/RZ9gZ2JDpdBrj8Ti2t7cL2CG0ZAWSlaG9ROZzOp0WhsXe\n", "F6zMxcVFZweTF5ORN8oPRekCZsxF9iz43F59ZhLsDRqkWCE6fJPlzTFX07s1liQ/w6DVysrfsyJc\n", "xeYhr8h1TnquHYxnyt+G29tPs2fFHLA2vSaRP4OkT3nhPQM+7Nw4H8h1cBhjs1z2fLOOiVh9Fonn\n", "CgMIMCAECyBBFqbTaWxvb5dtrxwyafbK5QAAOzYeOBh2bsgdcW0lU+1t23baxVz6vnY4cn5BTUYJ\n", "1Tx79iz29/djOp2WXUoYOELVrlxrEIT8c27W/v5+JweN/qNL1tfXS+5CXu+0l9/lZGevpxoz4rHw\n", "5TXE3FsX8Tyz01kn5T47H4Wr5tjUAIlBRZ4b3yOHn9w3AAFtdziMkBjtyHoEHZlZwKyXbX+cb8UY\n", "/RSW9YMDErMc7gAxK3I0CFHMZrO4u7srxcWIe2fEZ3Qf8dDDrcVj+RxDTAwWlM8AUoNjsViU+hwb\n", "Gxsl3oxnwrNJHmXRUkAHgb64uIjDw8OYTqelPXjfLpxmLzWiu03LxpZJB0w4cZW+ojym02k8e/Ys\n", "njx5UvIJKBZlsGTGibH1IiC+vqpkNaGatm072efMezbMmYlo27ZQ4KYHoW1dIdUAbNVlMIpBNzB1\n", "HhIKzP9vmuUZFzBHZmX8qgETAzCH3Kww/B3/zV6OE/pqpZvtSbn/2QOjrW4LY2lgXlOqnwNDYu/S\n", "wBBQS05Tv/9uu/fZ2Vnc39+X2gkoXity5sZeuJmQiKVcmHV1jgM773AmPK545exIgaHEKRoMBvH2\n", "7dvOlmz0osPBtP/09DTm83lERHGSCAETYgZo2bBF1A/jZFy9o408JNhcHKlvvvkmvv766zg4OIi9\n", "vb3Y3t4u28xJiqcUg71pjyVr28UYzQT5KHuHHZ1T5/Zn54U59bNYywB5hzezbGc5ZzwdDq19jl73\n", "PRlv2GjrU+sRs29uR41ppa/ZschALTtPzDMhP4PGWijpfcyM159Bl8E+64Xf+Xvvuz44IAF5cdFZ\n", "AAkHr/X7/c7Bc2xzc5lxd/Tu7q4kE5kqykIR0c0gpk1WFAYkEdFRMmSU4ykvFovCjDicwG4i2s1r\n", "sXi3g+Xo6KhkK0csQ1Qu+W76jLGykbSh8/cZSy9Wip49fvw4Dg4OSnb+o0ePygmb8/m8CKYF2M+x\n", "h87v8VRB1yTCkivjugz2Ti0DEQ/ZErw7FCDG14DNgMQLKS8iPzcvAudhrPKamFfmp6ZIamCkpiTM\n", "3mUPlHu6P/4ugATlwZj4Hlne/czMntUUCc/Khjd7ap/6ctjO4+fQEtvXAckGCWZE7CnaGzTY8Fhl\n", "PWN2jwu2ILMLb9++LTktGZCQMI/h4vvcpwZIZrNZPHr0KEajUQENTtK2R+pcOcu3n2fmOFP/nCcz\n", "nU7j+fPn8fz589jb24vhcBgbGxtxcnJSAAmhXxu5bFhhdLyjxmFDbACgyHWNcvJ4NpawiPTDv6PA\n", "HIAE+c5GO18GDBFLcIpj7Odx1cbZidW0/X2OzU/RI5khqa173vc68aYLf15jXXxlfVXrp3WKv/dT\n", "9chHASQMlGNwXtxMkuOAEQ/jYr5YbJyVAAJ1vMpbJe0d05Zer1f2tiNQeFOOn9lg8lvnc+TLlNhi\n", "sSh7uqfTaWEEmDh7ZoAmjHCOW9vQuq94Fk2zPDQJGpSYNeDIrAi1QfwcLw4Wbd5NA2VOjoy9Io+Z\n", "jaWZqqwIPN/OkTBA8thmRWTgyW8d0oCGdBgjA1eDAj7LTAFXzaPx2GVZ8OdmS9z+zGLQlryjxuA8\n", "e2IelzxWmSHJc82a8pUB2qe+rMxNJefxs7FwSKqmS/i9d92ZSb27u3sQXs5g3Y7M+fl5kRfvlsoM\n", "FOAKg8v9aswIusTr7f7+vgP8c6K81xL3oL15jLKeoR3oD59RQzi7bdvOOScO++b8JsaDXV+j0ahT\n", "1M3nZAG80WV5w4KZkcyQWLcwTzUQng0r9+UCFDLuudSA2+XNFdmY24nJa6y23vN6dfsse9Yjec16\n", "DRg4ubikN4XkNZ71Um3dZ8YkM4q1NUbfPwtAwgB6K5q9G7YGY9C83c6o0LQZDMPW1lZhLhjom5ub\n", "kjTmwUapR0TZ1w8bwjZe2jcYDCIiiqdsbzkbMnsiCACHevV6vZKMdn+/TFBk4fT7/Y4S4QRIAATP\n", "w+Mxyo3o1jPA4wI8OGsdpoaiNz4kD+8xgyCUI14SbFav1yvHfp+enj4AeTBHtN2ULAq+huBRljA2\n", "PJs+8hwrBwu4aVln53Mvxp42WaFlA40sZEOUv+P3MQA5/st3kD3nmdigZm8rMzSWNQyc75OBUg2M\n", "1JSkgVdNmfwUqvVjXA5Jmtlx/wHm6ArnrWXvmr4hFy6uhwyRr+F8KTN0livYK9YCbChbJzEMZvvQ\n", "ZdyPdthRgTmgvsfNzU00TVN22TgvbWdnp3PmlHfqGYhY3jyOyMSjR49KmYC9vb3CisB6snuQU7uR\n", "UztVEcsiYIS5KQqXy8tzsrh1hseGNjKOWWYtu2a/yM9j/pzca1kyUDCDWkuINhg26PQaYZ3BhOX8\n", "Np6RQYd1CeOXdSX9d54f37X+YExIdnbxNY9xDajlsfXzDcj9fK+rVcD/kwMSLwYn9niCoCwj3k0s\n", "A8igeyLxNlxlk4VmZiILSvYoWcA3Nzdxenoab98uT9iMiOItMYlbW1uFXrRRQNjZBQHYoh0RUXI9\n", "FotFJ0cClmVjY6NjQFk0jB8K1qEde4sIMclxJM6Rfd80TWGCZrNZZyskV2YmIpbeG4puOByWxQ7g\n", "Oj8/77APzAuKw8LO/NQYEi882oWy5z3XEvHvzJBgFMz88MyIZbJuzsexvDpbPydnWSH4N7WX5c1g\n", "wO/x7+yh0mdeAE7yd+w52nu0Z/q+tkV0i7ZlpZwV5efAkHhs7AWiE9AlNqw4N8yHwUTEsmxA9sS9\n", "DlnbnjfrIZgJHBscA4A5bSN+72q7OFb0jSMQmqYpeRNtu6wTgWHp9XoPnA/WLrkzDj3Zc7Yc4+jw\n", "Yu0OBoOYTCZlJ8xkMik7JtEl7ELkyAIbWuSVFzWmxuNxTKfTcq+IKGFf572w9s0qZefS7+VQheff\n", "4w1wzN+LiI4eMcuTHQLkZpXH7/EGnDocyt8ay5pfWUfyvgFLXq8GnoyBQ98RUZKoMxtnW+Mxyf3M\n", "oCSzMnxnFVuy6vrggKRWKTViWRWRiwnC4JMQyW8xoGZHSFxjoWLEnVvCQK2vvyv/jpCTfHpxcVGM\n", "Jwfi8dyLi4s4OTkpixqPB/aERWPBpHoiR2YDxOxpbm5uxu7ubqdoHGDh+vq6MEmMS82DtoGmTZSD\n", "n0wmHQ+LxXV5eRmnp6ed83GMyDHC9B9FR9lgQjWMt70rK2diuSTnuVplXoS18IWVY/Zi8cD8/WyY\n", "3AczPSh2K2rLJu1GLp0Hk8NaEd0tv5aHTN8a/PB7DCftNHNmZeL22WtEcfg7eUy47BHl8TaY4bso\n", "4gygPvXlHSzINmNn3eL5wrDz3YjuNmiM1f39ffH6yTVAdiKWVWD9PAA/egV2lr/WDYD39fX1ePbs\n", "WWmvd5eYAabdtOv8/LzkVjlHbTgcxv7+fjRNE7u7u3F5eRkvX76MFy9eFCcog+EMfG04ATnsptnb\n", "2ysH3PX7y/ogsKMYOXQM6wpjh0MzGo1iMpnEzs5O0SUG2/zODh45OWY5DTbNDHj+s15wqJZ71/Lu\n", "8j2tV8y+IEM24tnhRWbshEZEp68GLX6u9Zj7kIFM1iOMn8/iyYwybczpEwZ3Bl61sck6xOPClR03\n", "9+t910cFJEalePMWSASaz+gsND6JrAgVHknOnEbgmQwEcmPj3SF5NhzeFofXj+Kez+fx/fffx/X1\n", "dQwGg3jy5Ekx1FaO9rwAImSQO4PegGQ6nUZEFKNP0uvJyUlHMCysGZAQe+Uek8kkdnd3yyGAeFqM\n", "Meec2Og6zozA8HySzxz6ITnMgAQBd70Wdu5EdM8GyQyCjTnPtgGlXVYkXjReMLTfi4CL56A8MzXM\n", "y7Q+MXobsMwyuK2WKy9ee6POazDwqtXqoQ/ur1nBTLfXwAjrJytWX+6T6er/PwCSiKXs5PAMRgMF\n", "HbFUlMyzwy28nPjonXT+vkM1hBUJpdzf3xdng7aenJzEy5cvy29Go1FERNkCbJmApUA/np+flwMw\n", "XbtkbW2tABKYFWoa0RYXf7Px8cvP3traisePH8fTp0/jiy++iPF43GFzSYgEkPB7Mwp2GjMzgi6J\n", "iLJDz4XTsi6hT2bHfWVQbR3m72RAcnt7W2Rm1brIa6oGNgxSrQciluF05txr1uOemUqzdrmfeayd\n", "QsBv0WM5PyiPkbdS18bT79FmA6/8Od/xGsvPpZ+rro9SqTUPJg1HkSAYuTqrUdj7qNWIbgzUMdLs\n", "WdqT5+TNi4uLsihubm5KvsTl5WVERKnpMZvNijcFakV5gDahbyeTSRwcHMTbt29LEpfzOYxwI6LU\n", "7+CYcQScl8ML9kRYvFC3KK2IZZIsyWJsHWUBMQ+MoxcPIAfwxXNpI94X/a/RhgYkCHKtngvtAGyY\n", "4mRO7dFk9E4fs9LAiGSvisXCs1YpHXsYOZzlsbOxt+fJOGRA4t+h6A0EMmgxcGKs+T3zvIr+ddv4\n", "awXofhoo2utkjD71lccgx8stX8gMl4EaitjhxYjuLifGyQ6Ak8nJK2GX3vr6eqcwGYaURPBer1dk\n", "+PT0NE5OTjrzZUPGeMPYjcfjuL29LQUOYRkMRGG2nCDKene/Ih6GKdBdnHW1u7tbThbe3t4uvwOo\n", "+WwaO1rZm8YB9L3o09u3b0tOG15+ljE7pF6zrBvrEedT8N2cH4Gc4wC773ZKWQN2at0e2oHcmK3z\n", "++5H1iOZJcls64/pESe7G2QwthmQMEY1hpHLbfE8ZifMTtKqdtZYlh9jRyI+AiCxwCIMpp0ABgwe\n", "hs4UHgbfpw3W6CcMvAtGRSwNoouvra+vx2g0KsYauvbNmzclievNmzextbUV8/k8rq6u4vj4uDAA\n", "mTpluyHPmkwmpR94Cdvb22UciJuyw+fo6ChevXoVZ2dnJUzi4k7ZOOKJwLhQKCknjPIcJ8OZgUKR\n", "ud4LCW0o04goSo6j7VnwBj/O2TBDw/Zqh04iuoacsSfebKAAUKTOQl5MsD/IR84nsIdktoYrK2qP\n", "txNkcxKwlUjNc6oBGufVMH5N0xTlnGlo07a8bxDO/GXGKSsWGww7BvTbtH2OKXuMPuVlhcqY+iLE\n", "5qRv+mY9hIx4vRiMOm/JuVwwhE5gJ5zJ6bsAEcDHeDwuCZy9Xq+wC4eHh2V9u0ga69Os6GQyKTtU\n", "ptNpSS71+mVtzufzODo6ipOTk7i6unrAGljW+TfjRlhlOp3GaDTqsDewPhRnY1wYL7cFGUPHTiaT\n", "khDP+JBcf3l5WWTd8mlj59wUOzY1Q2nGPYO2iGXVW9rp59r+4NjlbcI27gYDjIXH2I64E+5zXSMD\n", "i+xkuG0GxmZ2zKpRnM7OU83xMhNtnWFHLTPBvp/1mz/j/5a5/Hrf9cEBCZc7YGVhpWBPLCft8B2U\n", "iS+UKF5RRo9QlhhGBJXQCsW3QOv9fj8mk0lcXl6WQ8revn1bDDHeEUo8CxJGhxNXMSyZxXGp5ZOT\n", "k5jP5yUpjlCSY9jegtY0TamF4lLULuVOeAVA4oVl5opx5nkAKLwQthV7uzDeBexJ9uqzMjHDldkG\n", "FhyABIPgBU1f6CPjaEAFmPH72ahmNseLxDITsUxsdH0YKx0rkexlc9WoU8aOObBR8TxkjyZ7f4wN\n", "42xWzYY4AzA+s3GyMrKC870+hyt74V5/1g3Z+PJbgxLYFI+ZWSSDPY+9x//u7q6wJN7d4iRNwi2s\n", "S451gNW0I2NDzJyQ24GuNDjkO+xUOT4+LgfakcdiB85GBLkiNDudTktFZ0LP6+vrJafGO/QcZrHx\n", "qYV8nTfi4ypgcZgLr+lsCD0uzglx+DU7WDnkEfEwydmG104wNiJiCQ5YFxnsW7bye7lNefef+1Vj\n", "/jNAyaEQ/4bnmAk3aLHeR748lu5ndoCsP3h/1VzZAcgOzo9dHxyQkNjoAeRi8KwEMEYRXQoJViIX\n", "ADI1F9H1BK3wPVkg34hufJGtdbAaHIltqhHBwasHQTvPICIKdYpgEMYxMgfocGgWSjWHpfBO8CZ6\n", "vV7ZQjcajR6AicFgEPP5PE5PTzuH+yHM7GoCpNFfduhkahWP5s2bNxERhQ2yomNurZiy0eXivswr\n", "VGMtHGMAh9EdDocFwDjB1QrGhgtZslK2nCB7gGDulw1DXqz+rpG/28v9vWPHMWWfJ8H45d0FeT0Y\n", "4AEirDCz0nKbvDYYLzw4xigb+s/lwpGhTXZgMDRWttlxYTxgJmzgGVfGxrKYlXrTNCV8OBwOO+1C\n", "lmEn7u/vSz7E1tZWKUbl3TuEQXAi7EGbXdvc3IzT09O4u7uLx48fF8NG+2F6kaXaDgqvPdjp6XQa\n", "T58+jd3dyPuPgQAAIABJREFU3cL4ELJt27YUY8NhMwvh9cPYbm9vFzbHlXOpV4IHj+HP3rtDtg5l\n", "ZUOJnBLqrYFv3zdiGUo2q82YW15szFfpkSwXGUyYNcjsRpZLG/Wa3uMCTKM7nazPKyIeODQeC55z\n", "f7/Mr3Q7GHMD8jyGtTHi+54fOwM/5fqopeMxBBFRkC1GDqXKQDhmhqFmK10GJDVKCMVuL5IFSxIb\n", "z0UB4bnc3d0VGpZQC4qePvR6vZLceX19XaoLMvDEkwEqGxsb8dVXX3UACexDBiTOzrf3fHZ21imA\n", "xKmbVDdcW1srWfL39/cl1MTYm51CiFBq3A9vjrahQPBmer1eWcjch7Zmj94eO21g3tjFYO8k0382\n", "9E54Hg6HZWxznoCNCFe+H8+wzBhAGCDnlz2jrPj4a8WT854A1iRl48miCPjMIM3rBwPFd5hDg0D6\n", "T3/8W8aFNtnjQ9Fg5CyDn8Pl5Gs7HFbaDpetop1ZJ7AHNv7OCbMsZcNuoM6a4nsAEu5JcienD0dE\n", "JxSAo2QW0swMsg+wads2vvnmm46xaNvlCd8Y+5yHxviw9sg5m06n8eWXX8bu7m6H3djZ2SmO1cnJ\n", "SZFpM4ZctIEwzf7+fmFZCHWRxEpYBEeN39up8NrMuTW5P3d3d2WuM5P3PkDizQ+uVl37Xb6n2Qa3\n", "17YrOzvWC9ZF1i3c3zKft1B7XNbW1jpnpvFcJ9jn9rAWmD/b0wxIHAXgdwYkdmy8zrzeLB8/dn2U\n", "HBIag7Ft27aEETwZzo+gM9n7Rxk4V4SLiYD+y15wjVrc2NgoIY+2XZ5Ye3R0FNfX17G5uRl7e3tl\n", "QvKunIuLi84uHy4rdxb10dFR/PDDDyUMNJ1OC5homnd5BPQNxcZfhIeCbtwDVmk4HMba2lo5bZcY\n", "8t3dXRFMK0DPDczIZDIphebyFkh70PZMTdPhpaJACK3Ys6ENLAIbxlplRtoL8LNRhe3he+S7eM4t\n", "PwYpuf1WfPa+akCF79AHewPIsRVDpqMdfjN9bkDt92pjzVrJC97Kx/OUlTK/M2DPtHHNm/uUl8cC\n", "WWnbtlPnh3XiHJM8lnjHEd1TT7MCZe74f81A8X/rKIc5T09P4+joKN68eVOS6HkG7QeIAE7zuVT2\n", "sMlre/HiRXz33XcFRA2Hw5I8T50NdFDOV2C9DYfD2NvbK1VTAWl44BwxQfEzr6e8Rvjdzs5OqV+C\n", "nrS+NvtjZpuL9cF3+V5tfXiNGTCyXmthckK/OU+HUD/z6LCDnVyzvjW5sFPk8ck1lPi89huDa75j\n", "5jTrGW8lNmOT103NwbBTn9cY//fYeh1lcOJ5cRsA1DV2OV8fZZcNDdnY2IjhcFiEhl0sDBBJP3Q0\n", "e0NsAyMZ1JRh6dAflUIN1DCprnQJECHp7Pb2Nubzebx48aIopMePH3dCBgYkRqUg3oilgsKbuL29\n", "jaOjo/juu++K90DiLIuU2CyTbUrOoZ/hcFhiz7e3t+XUz7u7u5jNZnF+fh4nJyflmHKK4HhsMT4k\n", "gg6Hw5hMJrG+vh7Hx8dxdnZW2o1AOWZsetKhIOYAsJcVAkbCnqhBl3cuZYbIW4lZiFDnNaCF3KwK\n", "HXEflN76+npH+Zvezguduc4eB79H9vHEIpY1CBgn10Ewu4FyyXSq20vbeI92mMVzH7NHlqnVDEja\n", "ti1zXzMcn+LyvBIaiIjCSNi5cY0ezxGGitNxYTnMtBkwUIcme7BZyRvoAP6vrq5iNpvFy5cv4/b2\n", "tnOmDrIOY0GNoJxv5L+O+7948SJ+97vflaRZttVSFRpAYmADY7K+/u4oiMlkEvv7+zEej4uOINxy\n", "dXUVh4eH5TA/V5DOIBkWiPOzKD9AAi8hGm9oyOMX0Q1toAdZAwYl1kcwQf7c4UuDB9be1dVVPHr0\n", "qOPw5cqyOQ+C+5mhz4wD68c5Geil2mYL26fsLGT7BXva6/Ue1FJy+MzMDfdDp/qZlvUcEuJ3XnOW\n", "e3+ntsasbyKWgMTtWHV9FEBCQ00jZs8MassTwmAgCBQfQtBNk+VXxMO4lY0TggJQYrIXi0U5nZdd\n", "MVRBdGazka8Rep4QPic08/3338fa2lrJPvfZMmynRcGa7u/3+50QEt4MAtjv9x+wO841sJFnbABk\n", "3A8F+ebNmzg/P6+OZ/YaeN8eCCGgrCQAJNnTysAhI3DvUDG7wvNsrDMAsTIzIFnl2ZiFsGxmtoJ7\n", "28syk+Vxx0BZ0SJDyDcvGxFAnZW55TrLeVYuq7y43L/s6aCk8/0+9eU1lhkqxjIzC8w5cuCdLQAS\n", "nIqIhwrbsprf5zJwdRsprf769euSG8ZOE3vBsCmEkbNyt0ySfH94eBjffvtt/OxnP4vd3d3CkEwm\n", "k5jNZiVfxTuFmqYpoSOXhWdHnZPi37x5E7PZLE5PT8vZOfbQGU/klkT40WhUEnhhh12gzePrNZUN\n", "spm5nA/BOOT7mHWtgR2HTRyGwLnMDIt1SW6H5SJ7/ll3Zeafz7Mu8jxnPWK5MoCib4yDwy2ZXaE9\n", "Hjdf2Ylx2/xv9zXPqX/ncBF9+iwYEnstxFBzoqXBh9EvCVbEzGFIZrNZyaVA+COinLHipDXuZ8WC\n", "8baBRVG9ffu2xEx5Np9nZcdvHI+0EeXC0zo8PIzRaBTffPNNjEajODs7KwuZ0tJUZuSZeDOTyaTU\n", "BkGxbG5ulhAL2+gQVpgT6G2DG7w5PKy1tbVynsR8Pu9so7WiR+Bt3FkIXoQ8Jwtvpiy9GA0w+Z4p\n", "QCc2oySJrzJW3padn+9nIZs1+tmZ+/Q1v3Ib/VueT4iRHAESDskDAlDakEVE59l4cpYnh7aYGyv8\n", "3N+sBLIXxXsGtwB1z9WnvqwwGVMMfwZOBiywTdYleNr5+APkyMxF3n7vceYeZ2dnD4BmRJRyATgS\n", "Zg2RM9pubxzDw9yiI5mf8/Pz+O6772I6nRagQRL+ZDIprK5DEb3eu/yvp0+fxpMnTwoYITkelnU+\n", "nz/QJdYhyBz6eXNzs7Aiw+Ew2rYtSfXn5+dlqzTj6rWew54GEOgRO4KW2cxa8Rlyko18ZiMBWAAS\n", "16VBl7ApI4dw7OhkPQL4cK5N1j21i/7YJlqPmOEh7OSdZW6PZQbZt83NjpCdMdaM11IGeF5jNVvg\n", "MWHt0Mf3XR8lhySjeysRBjpiGbe1B4QSYRsWGenQm03TFGMfsQQkZIs7OcdeLd4LxoHJJ7Qxm82K\n", "oXCFSHvrDDY7Wxx6QBgRbhJEX79+XXJS2BKHIkF4YU347fr6u7L3X375ZZloxoU6KVRhZTcMQggg\n", "QTAxlpS3p+4AW/qoZUDFWrLkUbQ2WGaCTEXzPQTd37cSQTFZkdhrsfLPgITnmdqlzw7LZS/ARtoK\n", "xorAMU/nlfgv7TWoRjZQFBwtz0mtKPh+/91WS+5vYGamgv5AeaOgrUgYRyve3F7GIDNdVtisDSsT\n", "G93PIZfEzg2ABCVd8/wMkq1LDEiurq7i7OysgHsXDET556MTDER9D+fI0QYASdsuc+jsiddYNQy3\n", "5SqiaxgIhfzsZz+LiChnbVGIbG9vL66vr8uuHMZua2srnjx5El9//XU5n4qQT9M0cXZ2FmdnZx1A\n", "Yj3EmmYe2JU3nU5jb28vtra24vr6uoSOYVrpm/VDDgWio23Y+V2NHbTMW85rgMROaTbEsMKsAfrr\n", "ulfoAwOQDEYyM8Lad9ttvDMrB2hi3mkreX0OMV5eXsbOzk4H4PIMdCPrGr0JUMrMOSDTTo1Bdc0Z\n", "s+6vgRSDTc/vjzGuHxyQmJKMiI7naoPf7/c7BahApMQle71eST7De8M4+TsY8ojl5GCYbVg5UG88\n", "Hsd4PC6hFSusPBERD71hfkcoAqGKeMgcMB4s2MPDw3j7dnmoH0oDYaZOAYWQDCp6vV6JS1qBAPTs\n", "PQMCAUiDwaBs8WuapsSdCRk1TVMdB/rPYjFYQOD5Tl6cFmIu35P/Z8NvNsPMjOcgg0UrexYk42GA\n", "4kXI5fCId2l5gdOumjFHJp0PglJy3gyfMTZWDIABHzqWwxOWM4+fQYrXYB5Tt9vK0Eoje6Cf+srM\n", "I+PFZfBrQx8RBVyTd+LDJb0NmN0l5HTZ4BiMu9DVyclJvHnzpoRUMeIudpaVO3Lo0K9DKwbIBqz8\n", "huefnp7G4eFhRLyTJ8KvLh9AuJcwzWg0KuCFozQYDx+ahy5x2NFMwcbGRgEiFCoj/ExeTpbpmvH1\n", "uNhbt1G03qmxYVk+swHlPdZfHn/Wfa/XK2NrBwv5Yiy4R40ZQde6cq+dHutDh00NIDx3/M5sl5kR\n", "38PySh9Jc3DSrseLOfU6ykCDOcg6nHF1GD2HgTPb8r7rgwMSFPLNzU0ZCNPFDK4NrEM2ZKaTSc9i\n", "B2SgRIbDYfT7/ZjP52VAGQBTrlCxJGtZCNfW1gqtmpEv96JPCDCUngFJpmC9uIirnpycxOHhYTRN\n", "U4oeZUCC0iAua68ZloftwFYid3d3HS+QpFnas729HXt7e7G9vd2pV8KWwbW1taKoMsOQY4H2fqxI\n", "/d0a6vZ4WsizcjESN6A0I1EDJE6k8m/t+XvRWF7zb3mePTjHg+3t2fOwImnbtsggnzmJm/e5H3LK\n", "b5FFL/a84M1s1DxIfzcDEpSklZv//bkAEtYcusHsD2s9YpnXYU8WQEJegxlMHBycm/v7+zg/P38A\n", "ZvOWfIzO2dlZ7O7udoB/rRJsNpSsd/pl+bdyz2uCz87OzuLw8LAwK4RzHdZjPe/v78fe3l5Jike/\n", "sHsHpoddNTiRGBsMLjkjW1tbMZ1O4+DgIO7v7wsY4a8NuNktsxZ5TDJYNwjLQLnmvKzSI1yrAIll\n", "BT1Cf82ue33baOc1Y0Di/DDmOq9P1rhDHowd69PFGXM9LufFWGcij85LszOZX4yR9f4q/W2H1JEI\n", "f9/f81ytuj44IPHCW+UJW6kwcBFRBn5zc7NTC8Oer8MP0LI2WgAbao9gYECbhCow4uPxuCosLHju\n", "aRRt73LVQoGm5B54NsRvXTOAMJBfTjjDW4FSRnm4UJLbD6VN/gkeFIbbzEpEFE8/4uEWUcbWF4vH\n", "82ely309Nh4rG1GPl8fR2/S8jdBJovZyMk2aUX9mBfhuXlDuv9toJVLLRcnAKCI6SszyaTnzejC9\n", "nRUJ7cnt8vj63lnJ1MB2ZlCscD4HQGJDvUqXcNF/+u1wH+vFYWPnmMCQuFqn55sQLMqeuYbppegZ\n", "O+EyCAcskAPjPBEzO7mPNaB5eXkZh4eHha3w4aEuaU8OGjkjlDpgo4CrRrPVH+PnMUVPAtwIp+OB\n", "+zwyg3SMapYzgxKzDnyejb7nwmMUUQ/V5LWBHNgpcDgUpt663TrEfcq6xLbA963NX7YZNdBpdjkn\n", "49pZyveir2aaXKuopsM9jl5Lq/RTTW+sAoG5Te+7PjggyfH8DESywbIxc0wVChUWwBXpqKOBwY9Y\n", "MjMIIPdnUmnX/f19SW7F8IPwEYj7+/vCwuCV2PhHdA0sCzAjTnJder1eXFxclBN+qbbKb3d2duLJ\n", "kyel1kjTNKVeipVy3tdvYbFxpJ2DwaDQq9QYAYxERFHAzFVO7gTle2HRHv/OCH+V0TdVi1K058Q4\n", "cX8nFaI0HcJrmiWNzphlhsfsA/Jgxqcmm9w/hwKyBxCxLHaF0UK5eW4y48Lz7Nmsyrnxd2vgwSyc\n", "6eMauMiMi+U0G1Dm8lNfq4wBV/bQIrrtBwgsFouODDl0Q3IouUAeT8uOc1cYT5jXXq9XQD/b+i0v\n", "6Kvr6+sHIJ7/Z8DoPnr+3rx5U87YMgiCCX38+HEMBoNy0i75asPh8IGuZD3VwkSWTc69mU6n0e/3\n", "HziL9D/reNgVh2W89hwaY/3nnKacw2NnzzkLXqPWgbBI5AO5rIFZV4cGWRdeO2YnDB54lsfQwAI5\n", "XuXwRETHtjBefo+2WHYyoMkgKM9j1iN+vvWFnSb0B2OS5cPrtObE5DmqXR9ll43ppzxoEctza4za\n", "EMysRBzbjFgCEnIw7KmT3W1kjWB4G/H5+XnZcUJdEoqKIawkllL6OVNkTJo9Ap6LALtgG7UCyEpn\n", "LPr9fgyHw85ZNjA8g8GgUyLYdUL8LMbPAt/r9YpiiohOhVnGiRoKZgGgx1kYzrGwErUS4f98P3sa\n", "Np4suiz8jAWLzzFTCs05ZAMgoQojv7e8ZUUSEQ/a4kVnQ5QTvzJQALyQg4MXlkGHFZTbxT3sRdSU\n", "RX6fzyxv9rb5zIrAXmjN82EcuAzqP+VlwFvztOzcZAfBCXyLxbJYIYAeYwVLghy9D5A41whm5M2b\n", "N8Xo9/v9ssvEwJdaQvP5/IEsWR5teAyyIpYG4ebmJo6PjwtI2Nvbi4go4WfWIHlqJLLu7Ox0vHkD\n", "EnRkNliMJbqSA0StlwFyrGl79w6LWD/ZGaNv6CGDgZwXxDw7RG7vPwMX5tj5es5ZNEPlZ+XwvefF\n", "bTAgMQDJTo/Xu+fV44XMOFE6OzZ5PGrzlfWtP6v9xrrEDltua60vvL9Kj5gwWHV9lLNsWIQ2PBHd\n", "IiwIh8vkYgidX+FJwWBilCOWSYkAICbO6N8oFuEnvsyuFb53fX1dClvxne3t7VKh9ebmpixS2oUS\n", "iOhOFBNqL4RcFo70bpqmnAFBX3ygHDVCXHIcytXjSh/X1taKN+RKt3g1ME01I5f/b4BjZeL4ZgZh\n", "BhqZgXD4zIrQ848QU+yOBToYDB6E16zseJbn2aWUM81ZU/butz1hKlnWAIS9KCuu/JlDUP4M+fD4\n", "GkCYWWL8spy5rygt9ycrWsbJHheX81k+9QVbhcGLWPbb9LQZKMuGc8ky+GUN5YRGDKzzIOwE+MV3\n", "cJB6vV45G8tAnkKEvMi78I6xbIgz28X/KaPA1tudnZ1yL97DEWqapuTItW1bgAQsKQ4OeshsgPNs\n", "KKTGnABmcqgp/zsiOnKd9QKhaIOVzJBkj9zAFNll/rxuWF84nNY/w+Ewdnd3y31qHn42zjb0GcRk\n", "R9A60/f0Nmi3saZH8ucAOAOjrEcsM/m+Nf3ltliHWgYz0DCbxzhlkE1bmZv3XR8FkPR6ywSviG7W\n", "P0rQi5bPWJyEEvIgAjRMnWYknhMEeRafo6QMSLztrt/vlwVqQLK5uVnOoGGBm2LMKNkTRjvYIUNS\n", "KezLZDKJL774Iq6uruL09DQiluEUaGFXuSV2CwBhjNu27RzsRWl1AInP4fCYr/Laaq+IrrdoQAIA\n", "XRUGQPGY8WEMrQzdLuSI4k54iQDDGrDCu+W5NiZmFjyH9CsrFyeaWR6z9+L7uN8RS+bGv3eYzOyb\n", "FZPngzF2P7msdPyX77nPGXhlQGmQ9KkvtkznHQbuZ87H8FjB9GAkbEBZQzAm9nqdIOr1azYGpgSW\n", "hZAFoDADktFoVLbcssZxpCK6oD2DJ+tMtuaur6/HZDKJ4XBYAMn29nYcHBzE7u5uCdGyVTQiyinj\n", "6EZAWT4lGEACuzIcDjs1dthskMFsjdmx7FneIpbby7NXbz2e7YDXBvo2h3z5awaGMY6IGI1GxbFl\n", "DuzceMx5lhkKM+k1ubMO4cpsrT9zn3I7/B1f/B49Yh1tEGMWyWOY2QyegQ5nrv3cGoBhbuwce/4+\n", "OSBxyAZUzIRlJIoQ9nq9TtGziOXWJXsRbduWo6wvLy/L1lMLMcLn0EE2HigaUD6JonzunTz39/fl\n", "BODT09OqQs8L0e3BIDIOs9msFGMj58UKDYG/v7+Pi4uLTg5NBnQ8j3s4SQ+PzfFiV4Y0Is7Az59x\n", "rfqNlU1WRnwv37fmIWQAwzw6j8AZ/Cxgj4UVkkEG29BZHDbabpvby/fyGOTxcv4Kz3Qf/dfjk8Ff\n", "9l5Mzeb3DExYP9nbyu3PfVw1t2ZhPvXleY/obpteJafsCFmlS6xs0SVskwfgk39iEJ0NiMOLi8Wi\n", "FKHCWA8Gg47jg2HnALpcT6Lmafp5vNBp5+fncXR01KH3nRPjOiLoGvScHSR7wv79cDgsJRJgrAFZ\n", "rCWvlXxl7zwD8lV6lH/XAHnEwyMcamNkWXYOEvoQ9od718Cu5xjw8/bt2w6IrbFytjO1uaSt7pfB\n", "k1Mdsmzkscj/r+lx/xa94OfWmEd+l/XIKhuwat5XyYavDw5IMIQsetOd3pJpoSI7nERVPHqKAUHb\n", "LxaLUgHz9PQ0Hj16VGK/3rrLZYNpWjsiOoJ1dHQU5+fn5eTb6XRaMtQXi0XxbthiZzqKvubEMCsy\n", "swLHx8dxeXlZivBQJwGPlOJahGp8UqY9wYhuFjk1BlwhkjCNWSVTgvnKijYvbgO67MnZa8ggxULK\n", "PZyAasHNnruVGWPo8YCRQ7F4T39EdIqURURni25EdBSWF5EXXWYLvBBX5UzZwOT8juxdcDG2eK+0\n", "N8ub83XMBmVFUPt3VhKezxpA+5QX23xrusTyFNE9OJK1ihElmRtGkvtxfANJ7ovFoqxLl03nN7wA\n", "LDzbB1KyhZakUu90QY+4dgiyi5xYb9SAOmvj+vo6Dg8P4/b2ttzfhpWw9Nu3b0tFZufJ5bUEGNnZ\n", "2YnpdBrT6bQwOhFRQjsu/sX4Z6NIW7MDWtMlXi9mH+jHKlDCy/qh5lR47LzW7VBwH2+5hyUiBwI9\n", "goNoPboKCOU1nhml3B/ag5NDHxxezeyLnR/+X2Mo6DvtqDnMeV6y7GVnx3NjPeJ71Prr64MDEmKN\n", "EdER/Cyg7jAGFTADlcjkoyD8/vn5eVlQeESAEibPxtCoOGK5wK6urmI+n8f19XUx5mynowqha6C4\n", "uqMnvIZObahQeOfn5zGbzWI8Hsfjx48L0KIo09rauyqBNzc3MZvNOgjcoZKI7mFug8EgRqNR5whw\n", "dhUYkHi7sdtN2y1UEfXFlkGfqczMGNWYCN8ne085PIRAZ8NuOp1/M34uf29auma0axSpx8a0si8v\n", "Qr/8ufuQAYmBudthhs8Kk74YdOVEPCupPHd5zrgys+jff+rL69WFySLigQyZ3fQaIMzrZG7GE3b0\n", "/Py8PIsaQeRhmH1jnJzjFRFlfaFPCANQnIyQr/UIr4iurFiJ53njuxFRDgWl3tN4PO4wooAmHBtq\n", "DvE5epl143IKHNznwm/WIwD0LO/ZG6+B26wLvOYdAjEwqxncLOMZhOT2WF689p2fZL1qloy1x/yy\n", "zdvy6X7RJ/5tHVkDmnb0ao6N22Y9+b5+Akgsv2Zt+J7rpdTCTLXxy7Lo++Ux/jFd8pMASdM0/Yj4\n", "fyPiD23b/ldN0+xGxP8REd9ExO8i4r9u23Ze+60FrGagQNYoUp+ZUCsqZIreCoiBhtFw9dazs7NS\n", "Cn08HhcmAoABbckia5qm5Cg8fvy4FDw6PDyMV69exffff1+qrHIAnxFwjpPRR3t1eCEosp2dnaKQ\n", "YEJQUsSKnSCX0TEAzCWwe71e8dIWi3fblS8uLuLNmzcdoTQVTXs191kWirHznBqAWBgzhRnR3eXh\n", "3+SXwQnfIUmarZQoCubMCoX7OLbM2LkdVgjuby3maSDhZ1gmDbQ9T17gZmW4snE120KeEm3IwJTL\n", "WzmzQjE7uMqLzeD9Tw1G/rW6xOyBGUd/hqzhuDjcUmnPgzlnnMi5Yk3d3d0VxsP35vwkcpm8+63f\n", "f7f9lh0wGPRXr17Fy5cv48WLFzGbzeL+/r4kbtfWofufgTFrgGJnhIDu79+VNLi9XZ4ITvEzkvJz\n", "AjXhXkJKgCdCPbArMEwOe3pdrwo1+bIc2jZYb/jefi/bhRyOz04u4+exzTVkuCfMt5kJnmEd4t2N\n", "q/qZdaPbkQ241312bqxD3E+HkbjsMNlO4rCaUc5rit/lsFVNX9Tkk2fmz3+qHvmpDMl/HxH/EBHD\n", "P/7/30fE/9227X9smuZ//uP//33thyh1XjVvme95ceWzSCzwniQ+NyDp9XolAcu5F1CkeEybm5tx\n", "fHxcivpAP/Z6vbKLY29vL6bTadzf38fh4WG8ePEifvjhhzg5OYl+/92ZJFwWtOzNsACItzZNU5Qa\n", "QIIKrJRwp5Ji0zSlNkrtfASzNfngNp7p+LhZBcfkM8quXcwBC8xhKiuU7PVkr9KMBWNusOnf0c+m\n", "aUqcG+Pt+hL0O8eIa0rE7ctsgA1z3oWUvVePidtPG5zM6AWbvR7WhxWIvSTLVjZaOX8oe1/20nie\n", "AVhNkXge/8TA5F+sS+xZZqBno+qxY43lmjT03fNtgNc0TVlLFBN0IjjvwXQg/ySUEv7FsaJs+/b2\n", "dgeQ/PDDD2VXHyEV60qHoxgDg2v6BpsxGo1Kvsr9/bsCjGdnZzEYDGIwGJTKzjgmLm0OM+2y8hmQ\n", "UG+EA94yuM8yVNMjWT9mB6vmJLj/mcWzs2dHaxVAYr4NSNimv7a2Voq94ejw+5zECqO06rIDYUco\n", "jwPtqTGsduyyIwIg8diYUcqOe9bzGRQZlMCUZD2S+5ZBR54rO0E/5fpRQNI0zVcR8W8j4n+JiP/h\n", "j2//u4j4N3/893+KiP8nViiR3MCc82B6jkljqyqnLeJ5RCwNkJOQ2rYt3+v1eh3DhPBcX1/H1tZW\n", "ZwIyhU9MlJ00T548KYzK4eFhYUjI+yA3I+LhziGeYcNno82ks/hRfhhqWJvr6+uIiOJ52fhwb7wa\n", "Em85uG2xWBTl4Uz4iG5yKPfKl9vq/nhuEbTcpvw9FoiZgQxOWQwsICfYZSMOvWoQa0bNnmTe7s1v\n", "HD4z22blw/fdN1PTViLZW2e+PQ61NZHlJN8nz09mlPhupneZa8tmnpfa3Gf5XSUf/9zrT6FLaJeB\n", "WXZwrKwxshsbG51Qg7+TC/jBHDiUQpEzs4K5PQ5JE5bmAMvd3d0YDAbRtm3MZrM4OjqK77//Po6P\n", "j0uZ9Qym8rjzvnUXa5/8FErDj0ajaNu2o0ecP3N9fV3kG/l1BVbCNAY31C4iVMMY4PxkkMCVmSw+\n", "r8ki42n5zusmM9I1w8p4rdLHBuFmuQh5OyeIezrPxoa6lnqQwXPW2wYT7pOTSs3G/pge8WcZwObP\n", "rR9zmy0PBmO+V00nvE9P5Ge97/opDMn/HhH/U0SM9N7Ttm1f/fHfryLi6aof15AqCTMoUzxRFAFb\n", "2DZqdKmPAAAgAElEQVQ3N+P09DRms1lcXFy8a7AAiRURgAWmAdRssHF9fV0WGAgZ5sGhm6dPn8aX\n", "X34ZBwcHMRy+c+Tm83n87ne/i9lsFmdnZ3F/f9/Jj8kLKKNNGzzGha10u7u7xdNCKYK+oX5d5hpa\n", "nmdREnt7ezvG43EMh8NO9US8GZ7t2GRuv8cU5cv7/j6/sfdupJ8XjQFQNvY25nhI3DcnbnJfqMfs\n", "UXhheReAjThj798BUOyhZkrSQMbyjUKCvbKXZqXlKysa5jErMQOzDFByfhTrw/fEcGWDQRvct9r7\n", "eT7/ldefTJdkQEJbszFaX1+P8Xgca2trcXZ2FicnJ3F5edmRMwwu40yeWs5Ds+OEvopYGlw7NQCa\n", "0WgUX331Vezu7pYKya9fv47f/OY3MZvN4uTkpOgSnBsbOeaX9jokd3d3V7b1o0eePn1aQjewe+gT\n", "csjybkX0KWyQwQ1l8s2yZpYxgyfrdi7Gl7HMOsJAxsCs5gDZkfI6ZbwYM3ScGUV+n0NU6DfCo4w/\n", "7Wa+cz2e3B/uz29cX8lG2c5Q7peZXNtOjxNXduoMWmthHusQrynrzVodnMy8rNIH2dlyO//VgKRp\n", "mv8yIl63bft3TdP857XvtG3bNk2zkreyQaoptuyR3t/fl+I7TdPEixcv4sWLF3FxcVEUjMu+o4xd\n", "gC0Ls4XDIQ8ypXMtk/F4HM+fP4/d3d1omndHch8dHcUPP/zQOX3VTI8Rcq/X67AZNtZMjJPGRqNR\n", "yX/AE6FYEe11TNr0c6+33JYM2zIYDDogDEWUDXAt0cnzY4Se6Ub3uSZ4NRngN74vRgF2zIvK+Rt5\n", "obGoa8rLHiTGI2KZn8RFTNXj4nyTzPo4uc19y6wEQMkeGd+lfRmQePcMzwaQZIXCePBZRJc6tZHI\n", "oSIr7XzVQMmq7/5zrz+FLqGNNWPl8UQm0QeEbjn3hWJinnfPiRM8kQ+vOQOTiKVRJBzLWtnY2Ijd\n", "3d34+uuvy5kyp6en8erVq/juu+9KCIg2mPHz+PNMjwFtAozAwuzt7RW2lbUfEQ903WKxrJtiMEIS\n", "K7uA+K0T4jGUq0K+lvk8JzlsWJtPv18DJHaeas+13mBtYkxz28wwY6PMNGZdwpp0WDjiYSl12uXc\n", "mAw8nLdiG+mogfVkBiR5jfIMnJIMVqwL8jjX7uP+ZJZ1lR7x3NTW54/pkh9jSP6ziPh3TdP824jY\n", "jIhR0zR/HRGvmqY5aNv2ZdM0zyLi9aob/M3f/E1p2PPnz+PZs2elg9mzw1CTmMUpmi9evIi2bYvX\n", "YkXMINBphIBdJj67wIgPQQHIkFy6trYWBwcH8ed//udxc3MT3377bfzwww9xeHjYOf3SuQp52x/e\n", "ARQxsVZYjq2trXLYFeWdWQiMjZWAs+AjlsKPMhgMBuVebfvuCPDT09M4OTkpBdPsDWbvKwMrK+BM\n", "Z9cUAmNi5VMT6BxCMIOQBb7GegAussfhuecZjsM7NkziYF4YVjooAPqVE6zzwqXP9miyoaON7iNj\n", "4c+zQaI9Wdll0IRcswXRit7Mkj1uGwBf3PO3v/1tfPvtt9Xv/Auuf7Uu+du//dvSjt3d3XLsQp63\n", "Xq9XAD+vi4uLOD8/j8PDw7i+vu6s31VKEpkC7C8Wi1J2nN9B4buw3+bmZkRETKfTePr0aTx//jyO\n", "j4/j17/+dbx8+TJevXrVYSnsjWa5Ya5y8UB01ng8jmfPnsX+/n5hlQk5oG9wTNjxg8FmDMyyTCaT\n", "ePz4cWxtbRWQdX5+Hqenp50xzttRa3IOKPZaNrj2b/PayeCkJvv8Oxtp7ml2wew0NsLF3LLBt5Ns\n", "RsggzvqTPjmk423UGez4OfSTduTfmF3Nsuq+Z7Bn5soOZdbPvifj5NxAO4N5vrMeye1r2zZ++ctf\n", "xi9/+cvqGsvXewFJ27b/ISL+wx8f9m8i4n9s2/a/aZrmP0bEfxsR/9sf//5fq+7xV3/1V2UCMbIR\n", "UYy0B4/JIofj9va2ABJQO0mrWaiz4VtfX4/hcFjYA6Pe+/tlcTBYERbxYDCIZ8+exZ/92Z/Fb3/7\n", "2/j9738ff/d3f9cRDhv2iOWhXA5fQO057ko7Hz16FJPJJPb39x+EHPz7fN6GcywMhtiazBhfXl7G\n", "2dlZHB8fx2KxKECO+CgXC8n39Vx4CxigyAoAobSyqRldvsvz+NyLiTZEdMMgpucxuOQKmVWwN2Mj\n", "FbEsjkVCsxUNf82cWTmihKgR4XBOBsX2gnLpdo+NKecawDFTkufGco7s8p5pccf1rSQ8lqs8Lq5v\n", "vvkmnj9/Xtr2i1/8YtUy/9HrT6FLfv7znxeDwLoyWGYsnFNF8in1RV6/fl3ukRm+mvFj/ZCTQd0h\n", "yxtr1MAfduTZs2fxzTffxNHRUfz617+O3/72tx0GJj/X+XEGIhFR1mCv1yt9G4/HcXBwEPv7+wVw\n", "k8iLvBqQZAYPWYWtnU6nsb+/X2SJ+k/z+byz+xG2MYOQbNwMStbW1jp6xJdDQJb1mvH0fPMcP9Nr\n", "kbnyOmBc0ausx+xsGZQY4AByPT92Gg10rBO8YaPGeppJoi+1sJP1rnWx5daODX3h/Vo/eR76lvIJ\n", "Dt9knZXX3arrL//yL+PnP/95actf//Vfr/zuP7cOCVL0v0bE/9k0zX8Xf9yqt+oHjvVlAAJF7kTL\n", "rBSMhm2ksgHiu4APG1QzI4QuCKngdQNgyOd48+ZNUWIksLLYUTjkqyDsvqeLBkF1bm1tFW8LT8bj\n", "cHp6Wuog5FLMjIm3LOPZcD4DSppwj+POMECEfcx+cG97FDVwkdGyPW0rhSIsFXDixZc/y9/jvll5\n", "GTS5vd6CmBNWSU70LhTXUjAocFuy8WF+3Wf/hu8zfjXFw3fzWBnc5XHK7FR+dr4nzzZYcztr3mie\n", "d/fF4OtPdP2zdQkMooGtWaDsfbtvDrNYsXLZq+31ep2QTWYWI5bMVWbtYFEIoaytrZWCaxwRYQMI\n", "m4NuoW05r86gFkCyu7sb0+m01BtCpxDync1mpbR81r0k+06n01KBdTqdFnaHvDWSYSOWzLCZXIcZ\n", "IqIjw1knZN1O/2vhhVVGLst4bd2aqV6lg7I+cygXXcJ9s+Njm+bQOAC5tiZtxF0qIYOtPFYe1xqz\n", "WxsnZAT5z/lw79Otud0/VY+gm3jfbeWzn6JHfjIgadv2FxHxiz/++yQi/ouf8jvKuUMfGm2SM8GA\n", "2XvPSt4dNyAx0GHwajVMIqJ4M2YiSNja2NiIyWQSBwcHsba2FvP5PGazWclG7/f7ZX+/t+oCBugH\n", "Ro6XE5sAPdQcYYGvr6+XUztRIi54ZuOzublZFBDPB2CRpMvvGWMUlftK0TkWiA18Nu4WLL7HgnK4\n", "gu9n8IHge45q3zdCtwK1TJguthfohQ4j4riwWQ6o6MvLy3KGEEmF2dvi/7QHI8G8efFZiWSPhr+r\n", "wJdlNxfay4raVGo2wpkKzuyI+5VDYnyOokQRGwD8Ka5/qS4BTDo/C/1A8mX+jH5nxWv9ErH0mnmP\n", "cErevcXFWvdcM07r6+sxnU7LybsnJyfF2fDOGNaSAQn3csg29wk98uTJk07RRu5BaGo2m5WCkWbE\n", "8PLH43Hs7+8XUIJeclE3mGza6i3OJI6SjM04sj5rgHyVc+M1YMBo2bQRrekSLoOG/FuvFdpIe80Y\n", "m2lnnVtmvGOJw04vLi4egFezznbisIXopsx0ZCD9vqsm5+hJM8w1sJRDPuhYPz+DpQw0DH78PSfB\n", "Wle97/rglVqbpunE07JQMkkIyGAwiKZpOjsWMp1mxW9Aw+CCdqHi+Qyl4/CAFxZ1R+7u7uLFixfx\n", "+vXrcq4FXgXMhEtKO6Rh2s7npbgUcy4VHRGlEuvR0VER2hrNz7Y8wlewOVSfdK0R2kxb7WVlLzkL\n", "IYvF3gZ/a16KPfgMKvhdTahtOOyR2whm7yBnqOeXt0K67XiznH2EEvEBkG4bbeL5lrWa4shjlZVo\n", "HsPsMb5vfP2ZlZe9HK8pL/waQPSrdvlZNYP+qS5AGkp6lYfGemua5sE21YiHSXb2WNEVyFJEdFiQ\n", "iChh3+x5tu27IoXsdru9vY0XL148yOeyY4PR8y4vDJZDfhgvcj329vbKgXrkybXtuxOAT05OYj6f\n", "PzhnBgDBjjzuwRk13plIqBn9R8i3bdvOeHrd2gBZjzEvvmqePX+znNfukeeQy3ohs5MGKA4nrZJz\n", "xtxOJ3NEXtLFxUVcXFzE5eVlYcHRt7SDZ5k5xe7k52cbl3WNx4H1/j5dknWvdb/Xg+W+BnJq8+f7\n", "ZD2Tv5cdzNr1wQGJD2+y8DrW1jTv8iqm02k8efIkNjY24vT0NObzedzd3XXCIo5bZcPF/fv9ftze\n", "3sZsNivl5p3YZ8WEcvBpv9Qc+f777+Py8rKTf0K81Z6CkSUgw7FSQjSTyaTEfqmECMI+OzsrSNu0\n", "PYoX5UV+jQHN3d1dZ/syQI5yxii7mkcMkvZ7NUDCuPFZNm5eeIyL82a4rAzys4ykUXgZnJledTIu\n", "4wMA42VwCK3qnUsue42H6l0IMAS01YrSCbQAQHtEq5L+ap4F/fDzffqo589tYg4ZW8+Nn8X9fWUW\n", "JyseA9g/JUPyL73w1g1GaLMTLtluu7e3F71er5yoDWsYsey7x879N1gnl+3s7KxzDxtEjD3hlJ2d\n", "nVhbW4uTk5M4OTmJly9fPigAyCncWbchZ84lub29ja2trdKvx48fx3g8jslkUvLHANrok6urqwde\n", "MYCG82k4o4bDPGEO2aHjwmE+Q8xzYEfAHrV1hXUJsmQZZtw9/g6NwJx47P18j5u/Z/2Rc+a4P8/w\n", "b3NeCYcRElKneKVZLNaq++420XfLTXbWkUnrBv5m58H/z+CgbZdnbmF/zXDbxmT7WVvvmSH0fFnv\n", "1ECd+/bJGRLH1TIaJIwTEQWQfPHFFxERcXZ2VgBJPnTKgMQLjkkheYoFSt7IKqTspK7BYBCnp6fx\n", "q1/9qhQtcmIPLA7GLjM/GEao0l6vF9vb26VKIzkkhG5QIFRUvLy8LMwH3qCf6/LQCKRDNT6jpuaB\n", "ZUBiLzAzAf4+n5tdYrztTfN9DD6eVUbiAA9Tl45NW4nYCBGiYmwioihLxoZcEXJz7u7u4vz8vHiN\n", "tIOL73LqskOLTihjMTnO7zaiNB1SyoAkMxdeD/Sd+zGXzomyAjZ7Bsiv5R3Zi/LlfvleVp7ZoH3K\n", "i1o66BIbJ2QBQIL33zTNSjBR0yURD+tdoEsow57vgUz3+/3OFvz19fWYz+fxT//0T3F6etrZeu/E\n", "W68Xtwn54f3Nzc14/PhxPH36NPb29gogmUwmEREl5w3nhuRvG66NjY0YDocdQIJzw1ohVENIyvJc\n", "AyT5r8c2M1mZwavJqscfnWPDngG37xOxlOG8Nq1LCJP0er1OSN39dGkJnL6Tk5M4OjqKo6OjB/PV\n", "6/U6u/hwhtAtEd2jMtCBODSWJYBNDv/UrqyHLc/W565GaxYr6xHrv1XMjOfMesJOkkHhKrCSrw8O\n", "SOxdWqESNwWUmBaEMgRM2BO2cueFMXJFRijbxWJREjozXda2bac8NDtRmCzOoNjc3CwJZAgySZHE\n", "hQ1M2nZZqI2dO5wLQXVXzoUAbeP9WagQ5LW17sFcsDMoMZA7Cte1WGAqvIceobPwe+FGLAtsUSmW\n", "+YmITn5JpvZWCd4qqs59hRp1CM5KCCXtBdrv90uZa8rnLxaLQqOioDk+gBwiFiaMCtV9GRcWsWuZ\n", "IMO00wvW7AV9zbtgGCcrao+BgZ5lIW85RomxZT1iqUxycifPzMAktwOlZuPuPn4OV46lIwMAb+Ys\n", "Ygn2CNdYl+Txpo8YFIw8eSkwnwBdfmM9Akgye2lZYAfM+vp6yQGjDeRswCY7l4U5hB2ZTqflfC30\n", "EXoAZoREVLOR6C2SV3d3d0uZecBsTs7MYT2YGtpmptIAIm9gWCyWu1E8P3ZGbGxruqRmCPk3spAd\n", "ArNmdlat9yKWJSec+M7Yw9SfnJyUHD9CNRmI1koqmKGFzYZ9RY+Ysc+y6XBdBh7ZGa85ishg/nfW\n", "cfk76JGsz2v6LDtamUH+5+iRjwZIsgfmqqTEVhkIQg+1DPFsACOiAAaO3AaQQIceHx+X33gSFotF\n", "2cIFIMFIoThQTngTNzc3BUjc3NzExcVFJ5mOF0lxPnkXQEIb2Z7LvRiDbIjIPQGQgLZRQlCsbbs8\n", "ZM+Gq2bcYV5YRKYYWWQugY0hzu+ZyvPiWrVQamg7AxKPgxeiFyMXW6jZ0dDv9wsY+cMf/hDz+bzE\n", "0pEhANva2lonVIdyR24BIg7twMbYGKHYTIPy26wkIpa5LPbCDSxQrgZdOdRAu2oMlfNcPA/8tRKx\n", "52lGKbOOnwMoyXQv4wYYAXhbUZs95POsmCOW/RwMBmWt4zgQWoHhiOgCEhtCy5LpcTs+ABLkFDBA\n", "MjqhXhtRfkfxMwBJ0zSdHYHoEjMTDmeSe0Idl62trVI0zRWrzcgxRsiFwxrMi/UWetZGyDVUMjtq\n", "tosrGzkug+qsSxySeJ+xz8/hM+YH4PDmzZuYz+fx+9//Pl6+fBmHh4fl3CHa7Z2OOI+0EafBjIQZ\n", "EjPCXsNeb/6++4hTbDBodtNsNc/NesT2MD+fMckh4JoNrtl3sz7+3SqWh+ujJLVGPKx/ELFUKFbg\n", "b9++LXvfYR+8AOzd8aJA0GQyKejVwsECqNHPUJjEUJ3XYoPlPBYnfnHGDOifiaBC5Hg8LuXqHz16\n", "FFtbWyUhirAUJ2jyTPqIZ0Yi63Q6LQifWC8KyArMVBxjhWJzNrmFhTnyAjVwyVtsIx6eFcHvDH68\n", "wDJNm9tcu5eNpY2v4/AwYCThzWazePnyZbx8+bIkrhqsOYSFsohYeiNeOIyTWQMrX7c/j30OAdA3\n", "r4Oat2fFw+W55D6ZNTEgsiJZBeZrfTBgyZ9/LleW64iHCdEYg+vr68KO5WJPNVDihNT7+3fVXQEX\n", "hFBqYTF2dnEGV8Qydu+1bA8cxsHMhOvn8BsKHxKmITF+MBiULcWz2Szm83kJK3mNsE5IZAXMcLYX\n", "OheWNfcte8EGylnO8xzxHk6ad5QwVwbgOYzoUFB2SGp6x68MRCzLXhsOAyE36Obf//738e2338bR\n", "0VHM5/MiD94m7H5bV2S2NSJKmAfg5HFivbuPNQYjG33kJOuSrC8NFj1P/rf1SNYFub95/P1cxqKm\n", "L993fXBAQmySgYBCZZIco7u+vo7T09Pyur6+LsgVgIE3T4dJJoS2n8/ncXx8HBsbGyWGTNjCk8Rf\n", "DD2VYTnrwrkHbfvuBN7j4+MOtemCZY67RUSMRqPY39+PnZ2dshMH4b+5uYnT09M4PDwsXg2CxU4P\n", "51Wg6HZ3d0t4hroGZ2dnxdjaG8neb/a0vSAdv/RlQc7C5N9x+bs17z6DU/7thWKFxOdeKDlxFbbp\n", "9evX8erVq3KcOwq+abpn/Wxvbz9QqLAnXuA+xwRZ4zt5p437loGvF6i9CY9TBtk5nGM2hu87wTAb\n", "Zz+zplRqICSzIMie5/RTXy4oRY5NxNKLRH7s1BCyI4TqJG/PWcS7+VlfXy8sx2w2i9PT01IYje96\n", "LTM2rNHJZBIbGxvFUcHIc38qn6IH2F5LYiT9w2BtbW3FkydP4quvvorpdFoYVuYGnXV0dFS2+Zp1\n", "AHSbZd3d3Y3xeFwAF04cLOvW1lZpb/aQvXacxIqRr3nNdjxql2XennZmiaxL8vdpm3WJn5/BUXZy\n", "cWjm83kcHh7GH/7wh/j+++9LQjThPlcAdm4XzizPB7jaGQOAAozz8wECdtqtk8xkG7zxGwMtAEt2\n", "CLPuMavisYp4qEd8GaxmVsW/j4gOk/7JAYm3TDk5kUY7xHF1dVWMrJUINSVW7QYhx4IqnEdHR7Gz\n", "s1NidSgv06gR7yYNGtTUJTQquQjsWonoJvIgpGZGmPDRaBRffvllObYc5YkHfXZ2FoeHh2V3DElu\n", "xD6dhGSGhDbiDV1cXJSQU8SymiNjlKm7zDJF1HdbZC88G95VSNtshhkSK4cMfmiPgau9Lv+GWC3M\n", "Vdu2ZSfDr371q/iHf/iHmM1mnd1MnMvBFkmzHqb67X0w9tmbg8njqhn+VbFdj1MGA7mejhWUveas\n", "oGHraD/fyR5ODWyuUhJ+BjVRPofLeQEod485c4QuIbRKXkVEdBL7Ih6GgdiFwm67k5OTGI1GxfDa\n", "AzYwQNYmk0msra2VcK7LtWOwHE4DQLGjJc8/gOQv/uIvitNhOaV+0evXr4s+ALRnhoTtwtQdweNn\n", "jEjs3Nra6iTse/xtxAAkWQ/YycgGrmaQDCD4rde/+4EuyeNYA/c1YFRbX9x3NpvFq1ev4je/+U38\n", "/d//ffzjP/5jWacGImxKcKi1bZdbobMuQc6QAUKtZp75t0NMlmnGOzOZ9NNjExEdMIK8W897LmFq\n", "vFswoqvb6KOv7FR5jLn8jJ9yfXBAglF00R9TWc5JwNMhFsuCg/rke6a885kULG4zDH6ZduU7lKOn\n", "uiGeQp70bCQRBISx1+uVqoeTyaQIiBH0yclJ8WScyBqxFEBik4As6mnYm7HnZQbDJbE9BznM4rlh\n", "nJgTFg7v27PAOzer4nizF6nHLQOc/H/PIX3i+ShYh1sAZcwZpzATHoPSdpiGPtibRhZreRqASIfx\n", "bPxQHowZYbyIeGDMPR/2KA028ueMJ3Nq7yZ7OYyl53zVmGe58P2yt5Tb9ikvWKCaU2JjY3lDFvCA\n", "DcL9t9db5lNFLEMM3vqaDZiNNTIEI3x+fl6KHPL77ABkvYKne39/X4DIwcFB7O7uljwQlPvV1VXc\n", "3t7G8fFxJ5HVl4E7iaw4LuSsOKHea89ykGXOcmfvOBt6HEEAC+uB5+QclX6/X9ZrTgq2A+Q54zOD\n", "+8zE+H2vl7Z9t/kAlvr169fl9fbt2xiNRmUde/cNbctscx4v5hcHET1h58ZOLONGfph1a94d4z4a\n", "tGRm2mOcwQPrqcaI0K8a4PNnng+zUDyby6D1fdcHBySmH1nk9lCd/IeRwEuxULOoI7rbT00rZ28D\n", "A8137Bl5b/vm5mahL9nqi5BnA5QRP8J9e3tb4s/Pnz8vMT0L1e3tbYn35kRW+mQ0Tg7Kzs5ORERJ\n", "gnN+DZcFxgwF4CLHZE23ZfByf//uDAt2CxjAAUi888RFqFYJqtvoK9N9vlDwLrfPdX5+XorXUVWX\n", "5D/i5TAoEctM+gxIMptBu5G7vKuA/mW57ff7hd3r9XoxGo06NLbH2XKFsmLO/J3sFWYglFmvmjLJ\n", "BiOvTRtDK22e97kBkuyZ2/utrVHkN2KZH5A96IjuAXARy8Jndhr8nawfuAeVTs/OzjrhX7MDrKUs\n", "e1Dybftu99/BwUF88803MR6PO4XUIqLkfNQAiZ0Tg5G9vb0YDAbRtm35/cXFRedML7cFueKvGe5s\n", "2HnBWDM3ABJvo/V4OQwBS8zW/gxIcsjB7a0ZTC576bmY5fX1dbx8+TK+++67Un8K/T8ajR6EbtFJ\n", "2YGy4ba84tggd9bLOJTeDdTv98u83N/fF6fUgMRrNY8DwMmshAFKLTxjGfT9MtuRxzavvRowtNNQ\n", "Y8fy9cEBCUXJGEziwN53H7GsZGpvj8+9fx/l6pwN02HEjkn0dA4GAwM6tbFCAbFArYQwREa2ptaY\n", "CDyS4XDYyfQG8bpwkTPhMUgIu+uUcDaPw0m5fUa5XDYuPMOgp+b18D2AI/ksBkymDXPfmRcr2syO\n", "ZEDCPdxGxgKK1AXgyEE6Pj6O4+PjmM/nxfMlQRkwMhgMOkAKUFIDRjWvm3lDkdnbsEHE00CmmffM\n", "FOUwjftuhep/2zthDPLY1ubR9zRdm8GXlY6VYlZWn8PF2NIvZI6QCO+xs43v9vv9TrgklwP3fKJL\n", "2rYttUfQJQAO8s1csgB9AHPCWmUrL3rE82vHynPV6/VKeIXdMMPhsLSfPBQ8e57B/DlnJCfD9vv9\n", "kq9CKNltt5HNTF1E1wvmO3kcuRwWtbfs52UPnbW2SjfZ6GVAkg1lxBL0YKQBSbBDR0dH8erVqxLy\n", "ymkCACS3044t/aHv1sfZZkR0gZz1jOUAO9G2bZFnvudwmZ0R5sWsdQZJZlhWgQ3Gz86kdbLBh39n\n", "+7KKqfopuuSDA5KLi4uC7Innb2xslAU9Go1K8RjX6EDJQC2y9c4FZvLhdU3TlFNuLy4uSixvZ2cn\n", "9vb2Yj6flwSliOggSDwAV/Bk4knyiojiNYH8WVxsGUMQAEG3t7clFu0zbgxGWGROPJtMJmVBLBaL\n", "AmSovpg92lUxU57j/tVAhcNpXmC1f1v48l7/mqBn4fZlo8pcYDAIV6HgyTGaz+elVHPbtp16MT5y\n", "fmtr60E+ivubEb7zE0wLO2xUUzZG/064dbGprEDtHfJefjHGZk/y81eBBishM1p5rrgHfUd+a8bg\n", "U19XV1cdXULdIZdbB3B4SyvbTZlj1irK/O5uWQwMfdI0TSmmB8tBTaHxeFzOpwEIEZKOWIZ7WOs3\n", "NzedPDjmjGRqG3G2DLM7z9VZLy4uynNdLdQOEnrENUseP35cdgp6Rw2hacsW69UG3pS/DSDOTXZ6\n", "DESyXvG647IMm6Xyesnf82erwDMskZklGObj4+M4OjoqxRKpTzQej8t8ei3buOZ16Fdm0/1935f7\n", "GZRwD9gUr1HGD33kXYLcq9frVZkImFjYocxsZUCax5V749gY6GQdQd8dufB8/dj1USq14kVQi2Nn\n", "Z6fsVOHKiJnfsLAx+oADQAzAhL8YLfb09/v9Ulvg8vKyZLU7QZbBQjAc13c4gu8hMM5rIbEUr43y\n", "1STFnpyclPv6fAleTl4lARNBoybL8fFxEQjTx9m4eGFacDA89MtXbTHxHsq8BlBsuJnHmvBlpWGl\n", "5gUBS4TRoF7D9fV1Sd47PDwsyhDgMhwOO7Q2BqDW7toY5RoWbpOpXoOYDGwiloDE2xvt/WTvocbU\n", "5BANhsDju0q5+z78zuwV8sCceh4MXs1Ufg5gJCJKiLNt2wI4BoNBcWAAbq60yTjgfOB1bm9vl07O\n", "sy4AACAASURBVPccmmH9LxaLspONfC227Y9Go+LY3N7edvLjGEuADQ4ORsjrziA4IooeITmWMCX/\n", "5/gDclMAFZnydxE1F1Bzsu3FxUVn7eawn0GSDZA9bMt1BvcZgGSdkeXKcmnQ5svrsub0uM2AEed+\n", "ADyPjo7ixYsX8eLFi3KkAEA1n+jOeq6FQ2sOIPNOO90ndBt1orJjxxpknTJG2A10Nw4G/bLDYifJ\n", "oRLACmCBy6DS9iQ7IlkHeZz5az3ivmcW7X3XBwckIH4GkeRDFhMTDxWKISFxEgoNZsXesgugOYGR\n", "wWfrZ9u2RahQAvYSc1yTCbNRQUkBDrhv27bFcAK4TCXz/fPz8yJ0PqgLYUCJEC+m7w71oHRRtBHL\n", "cA/o1QrOSoQ+2TsnR8eKA+WNUUU5RHSzvhkrs0v+TlZKPNvIP2LJTnnB8my2RZ6dnZU6AHd3d6V4\n", "Ee1kR43DgigVxpxn1cIReSHlcWWcuGzkaixT27aFweE95zBlOtMK23QsL8egeVmJ1OhRGwJ70Aam\n", "mQXKMWr6+j7g8zEvb9m9vb3tnGZLDpfZD8aR6r1mYvNBcovFogBZmDVkn107WS/UDK4ZRhRyTrzn\n", "d85RgprnBN79/f3C+jVNU3QJ9YvQn+RxEU7a3NyM8Xgcjx8/jslkUk4jB3DhlKEDcxjJzB3AIeJh\n", "Yqj1SA5jZl1C+5wj43HjHoyvgXHN+BsgRXSNptvJfSlmeXFxUZJWz8/PIyI6Ti5siNkHAETEUrdl\n", "A+uX+8J4kDtjZ8NjaocBcMK6c+Vc5sNMR54T7utieAAXKov7d3wvb4awTEcsd+1khzKXQHCuSm7X\n", "ZwVIMA6z2azE8C4vL0vC4mg0KpSok4aI/Q6Hw3j06FFhODibgngpgITaFKsACRPujG8DEisQ727A\n", "63Fs2EaUkswZkNBeQkjZI2LRAkiod0D7Od8mx6KNeL0AWARetM59sCfl8bD3jJJyFVcrHIcDGDMD\n", "EsYrF1nKDAl/vTAAJP1+v2zbnM1mcXJyEhcXF8VLRfn6ID0rImTOXhOfMe8ZCNgQZyYEZeF7OLzB\n", "nGFoyPWx146S8735a+XlsXDYx8DORbY8T5YJe0k2kPbCLA81r8Zz96kvb9l9+/ZtzOfzWCwWJTRC\n", "rgUAHyON/BPCtcdMSJj7Y6Du7u6KfAMGyKnC6ckG2KEKxsv5C3aACKGxmw1najQaxcHBQTx+/Lgk\n", "VRqQeBszdXaQB/LPnDeCMUUPcSDc/f19h/WzQVkVasx5MAYxXvcZkLTt8uyhmnHyGsEQ8z07OBmA\n", "8G+3JwOlpmnKSeonJyclcZW1ZPvEHOScR/Ie8yF1boMdD/RxdvYyaxGxdAZw6pzjhzNKJMHzk+fB\n", "rEXbtoXZdxjb69npCIxhdnQNHLMsMDeWdeaSflmPfDYMiRtlKhMFy0Iz1QpVyd5+FjlGCcqSAeeM\n", "CD/r7u6uLL5er1e8Ir7DhLFgvJA8mC5q5EVoZoaEMeg+Esfw4mA3HJ5g0bAIAGbULUFRAkYWi0XH\n", "qNnbqnkGEd1TjfmcOeHzVcq0pjgy22JPJi8ILy4zCdno0Wbm0XNHtcTLy8viscKIOE/DzANtzLRj\n", "VmK53Y6Pui/0MzNatQtlisLxcxlXckJgajK9msebe+ZQk40I42jA4rnO3pzvnQFiTdaz0vkcLmQV\n", "ww74R/4BF+SloUtgHl0p+fb2trP+MEARy/Nb0DdN05Tv+Fnejeb8CeQRpsVMLMCTg0U5xXcymRR9\n", "godPMUWYYef8OJmesgPj8Ti2trYKYIOp5XdmSa1HrENqslEzNHaEcETyQY9Z/tALDqvZ2+eyUcyA\n", "iLbVAFLTNEUHUyyT099Zg2YP/AKMoFfs2PgZ/N/G2/Yhr9scejGQsdx4XM1KRLzTIyQlWxfnZwG4\n", "vU6scz33qxwRXwZKtMdjwvU+PfJTmNaPcpaNG0MjMdyAksvLy47nScLa1tZW3NzcFKrt9PS0sA0H\n", "BwdFiWSFDMNwc3NTdlxQXc8L2HQcC8qeLOXIvT8e4EGMFmPqLGbitCcnJ2UbmYGIlRFGFkVHfNi0\n", "LM/mGfQzC489lhxvzWDF4RTAokGGDTG/B8ih6FhAVmwRS1DiHSoGKQ4TgNQ3NzfL+TzMM7FujxEA\n", "NFPGWfl5AdCe7FHRVxRUbVwZB4M/P4cXbYH+97MwSE3TlNBkPpCReyKLgGEbCAPnPN58HtEtUOfw\n", "go1kbazcb/fnc7iysjYbhAG4uroqnjkKm3XO7pizs7OiS2BHCLuy08/zCiBh1xvhFZhQvFDLuME9\n", "YwirCrvHPAyHw3j27Fk8ffo0dnd3S2E2QI51Cc4JfYQxdDI8Z+X0+/0SoiFnj99heDMN7zVRY/Mi\n", "ujv4cGScA0Hen9cbcsl4OFRvEG9DmZ8NG269ZSDD7+kTp/NynhUhVKcRWI+YGXH4krViA+7xMqtq\n", "ttpry2s6J88bMMBE0AfnNGXdYFl10noeO75vNjXPNZdlIQMXtzk7Z4yLdS73zczY+64PDkhoRFZ6\n", "LGoWC4aqbdtydoM94sViEaenp3F8fFyUyNOnT8vixbNmoO7u7ophNyBBCE3zmx2ANkeoMBooPf8l\n", "3suAg94Xi0VJQs2F1szOmE7Dk6MfMCNsOSQ8YUXgSc5MiRdE9kqywrSge0EwJ1wOhwBgIuoMicEn\n", "nodrbrDoHefs998lKaN8ie87x8hJZm6bQ26Z8nW78jj5r4Ger/eNeQY+EcudLb6Xwy5W9s5x8feR\n", "SZgxhxjNrBg0ushgjuFmpWkP2OxNbsdPVSQf48qymkOWBnHI2GAwKKEaZAhjRSVVDBE7Wwxw27Yt\n", "h9dxOi5rEe/ehffM2GBkCTExT4R8AOrokWfPnnVOrib0fHFxEYeHhyWRlj4TmoIZoQor7US2CO+8\n", "efNmZc5AXsMG0hmwIF/oKvpsbxzdkH8X0WVH2CVFn1Z504yjw0nIskFJxJLVAnhSwZbEZBxKh/P8\n", "ch4E/VzFGmVdYjCCzGbgwbr2+s1tQAapkcU9yHuy48hlne+QObo6F5zL7A5t4cJOmjzge1lmasxJ\n", "ft8O1KrrgwMSYqA0LBt9jBsdharHo+n13u3Jf/LkSSwWixgMBvHq1au4vr6O4XAYe3t7pZKpE8Te\n", "vn0bs9ksjo+PS4Gsfv9dETQneMFE2Nsnl2WxWBRlwv2YtEePHpUBtgEi7oeyg16N6OZLAEJGo1HZ\n", "MdC2bYcZseBl42cvYdX7OZbq76JAfGXPkMuey2KxPJ0Z42rht4FF8B2OMKhxlvjl5WUcHR0VdoS4\n", "qWsBGLh4MTAn7i9zaaDCOLCwnWvisck5FlymNG283U/Tthg66FOUadO8i2s3TVMWPPNh5WbF4vua\n", "LXGeCuvIOSie18Wiu13c/ULGkCM/NyuqT3XRn4juDhUzdPQTpg0nhJySwWAQ+/v7RZccHR1FRMRk\n", "MinbY+3cMFfz+byEdcgTg7210Wf7ML/PCdasEUq851wo9EKv1yu7f9BT1gd48ByYt7e3V17oLgA9\n", "LCuhiszsZbBpA5IBezZkGEiXakDXWhdFPKxrwjzxfcu8jXoGG5mlwHjDQpFng0PI9mqDIIdmsqfv\n", "UEnWAzVdyvs4pLTTDh5t5ZkGGAZqOGXYssw48Bm5RzzfBd8yy4JO9vElzqPCZnlTCLYSZ95jni/L\n", "RGZs0RtmNN93fRRAkhWdvUTAidH12dlZGXxO3mzbtlBt1BHhHBoDEgSPpLejo6N4/PhxeR+63wyK\n", "jT+AhMzrtbW1Er+lCifIkf7g7UAZU7AoKxEDErbzEfZp27YIBm3yQUw2dhFdNGyDz/eM8HNs0LF3\n", "vw9DUAvV+Ld5u7aZJAtdBiTcC8WQAcnLly/LycfehscLr9H9MYVpKtHt47m8bGCdIBaxLLKFF2MP\n", "PHsvOR5vBoTf0HaUL3Uxbm5uisfe7/dLblXNs8LY9Xq9Mg7IhS/6QDjAFDSXGSKDK5SjZYt/e/4+\n", "5eW4vGXeXqxZjfv7+6JgCWUMBoN4/PhxYTiQHRJBnQuCLHGCNL+lLS68BxgBkJgN5FmsOXI6xuNx\n", "YYEzIPGuGnZs5RDpo0ePOsXPnjx5Evv7+6VNABp262XWNLOHmRExILEu4UJmkGnnR9ScGxtkdBp1\n", "kawrrHu4F891Xor1AP25urqKV69exav/j7k3+ZE0W/K27HWPiMyY54jMGrrr9pXQlVggIbFEbL7e\n", "ol4gtp8QW5DYAeIvgBXfHgmxYAFiwYpesGHbuqIl1Jc7VN3KysrIjNFnjyFjcmeR9zn+vBZvZCVd\n", "nZl1JFdkRri/fgY7Zj/7mR07JyeFBUPnuixADskY0PtlpyZ/p50vnmk2lTk3aMmAzqfn2KfWy3kN\n", "AJo+Vt5qtQrbw++8h5kzPhMRJWLgwqX5xd1wrJ3DVx6LHagM1mz3fxEMSaZ8EaxsJD0YztaT0+AY\n", "2MrKSuzs7MTTp09jY2OjMAsXFxflgijTnUbty8vL8ezZs5ifny8nZTgS5gxqFh2hevv2bcnkJ8TC\n", "NePeYPYYABOmcH0iCE+L8AP9cGVIBNzJS8yp0bGVsf/vlzetXygC1uAxijZ7JFkY86bjeRbwHJud\n", "TCalai0Jy2xGsyH+TEQ9WRe5yVn8Gc2bnSPBD3DK0Uie7fHbg7Lh85xkOhcwEhG1kzL8HTlwUh/f\n", "l0MR7hMG0mMxO+Y+IosA6yZFb+VpxedmIPm5W9YlGWxa+WO4yUEyYAaorK2txd7eXtzf35cTciRU\n", "O5F6Op2Fw5iP5eXl2Nvbi/n5+RiNRkVPcCTXbAgGwrlIEe+A4+bmZmxubhaW1ODFusQhkaqa3S7s\n", "vBGOvnO8k2T6iBmjwp5i3sye2fB5zpuYhBxyaMptssw26ST6wD7w/s17LOdzWJ/hXHLgAaYVXZLD\n", "MQY4NpJmgZqcmjw2gCX95RTWYyCM/2fgl5kDzwHOsUEQ/UdOsk7COWJ9zCAZJPiOOK8ROsvOHu/N\n", "NinrZgNGz9uHOjSf5HI9Xo8JpRWqjTMFiVw6fmFhoWSib25uFrp7NBpFv9+vVaTLQre6uhpff/11\n", "LC4uxtHRUfEcRqNRmXzYFa7x5vuhZufn50vRIRLcEBBTY86oZkE5PURxOLxjjORwOCzVH6087JVn\n", "JYLA2VhnJZCBX94wgANvtib0G/GwiBJgxArNGy4f5zXtTsVELrPC68/JZgZVVnTuv48v0k8bKTYE\n", "MfnBYFDoSObNDE8GIwZmj/3OlHZT3zFGAFEMJXI3NzdX82IM4igfnQGlAQx5DHjFMACshxWfmR0b\n", "JL7Pc5E948/VmnRJRNT2h+V3Mpk8CHdQu2hu7t29R/v7+9FqtWJra6vcQ4Nxu7u7e3D0HznieLHz\n", "qQjt+FoInzax0cG54mQN+Ss4UxGzRHOewXoAaJ03srq6Whgkn8i5u7t7cALNuoG9H/HwFF2W97y3\n", "s/zRMlPatD8MDpqAeQZGABezENa13W63FDrDgWR98l603bFcGXjRMvPm9ALqS6HnuHPMespz3iTL\n", "rKedLObIc8J+d3Vfh3+wMcyTC4oyBlILMptuJyUiSt4KIWHs8GQyKfkkBiROkPa8ObT8oXrkk1yu\n", "Z8/F6Dx79Ewwk3B/f18YCQxOu90uGeRra2ulPDShEoof5Zjkzc1NOabbbrdjNBpFRJQTPhGzhD8z\n", "K2ZYOA1CNVXXPQGpZ6/BngOf92mRiKj1fzwel/5jzDGsGBd7//nf2bvJDIeVupVKk2D6s7wXQcxM\n", "SKYWaT5JBNDA6FKa++zsrFZ3A0+RZ1uJmv5Djpgr0/iZIUEW8VgpFY1C82ez8s5zYpm1l8PvMRiu\n", "yOgQEKCWXIMm5RIRtc0O8MZAeUzZy7OBtCHwGhuQZNaSPZANyuduGUzb6/R7+F2r1SrzVVVV0SXI\n", "h0+6oUu4/RZjntlFnAzXK+n1ejVW1eFDMyLIFN9J7geAwldP2KExEMLILi0tlbpFsCutVqsW6gHY\n", "8hlCk9nhYN4ywM4Ojef5MVCcmZImwM5c+NSH87hY2wxgMIC0u7u7ojepvnp5eVlAB/umCYzxXWYQ\n", "st147GVHlROUhP1zSNmMQpZhvjOfyrFcM0fOMaM2FyFfGCJyhJgvOxnoyOwkM99Z/6EDfDoLFsj5\n", "nz6Y4LG6Dx73T7VPcuw3x9EiZsahqqriNft0y2TyLulsb28v9vf3S3jF2evQrigCkDGgJOLdRMC4\n", "+MI6gwgnFjn2SX8BEvPz87G5uVmOB/JyXNh1SxAIx4ednNlqtUooiBASR4yzAEfUkbc3vD0nGzYb\n", "nxzm8MYiPJA9ZsbPd5ClbtSePW/Wl42G4oZGvLq6il6vF71erxR4wlvlxBRCjxyY7cgb2uPx/13B\n", "0iEi1oNjmgAjsxEesxUsispsFcbf/bSBpz94VJeXl7GwsBArKysll4RQIAajyfM38LLXend3V4AN\n", "OTkYIhSK5yAbGuTK/WacBpYfokw+drNHl0ESe9gn4VzjYnFxsRQvtKH3e1dXV2M4HBb5yaEI5vP8\n", "/LxUB8ZRsg4xCKGxfvSDkzXkyMGeYmRdhZW5xwhw+SYghuOfGBlyjmBHvI70hWYgjX65vb0tc+L3\n", "5v1mUAJYZh4MgjPz5jV0/pZbZjodGmB8/X6/VnmVPCsShQGcfn42kjT6aoCSGTezRNaX7MF+v/8g\n", "AR/5sO7Kzp8ZVEBCBhJ8J/bt/Pw82u12CTfjBGND+Z2fYxa7CTgg84AL63bKcviUWV6jzKZZrmwz\n", "3tc+CUPSZLAAAwgQE48hmk7f3X2zv78fX375ZZyenhbFi9AsLLy7ZIvwCgadsA2LT+0BJhNPhL4R\n", "IqF/mXXAo4UZAZDgcZEHAbUVUY9NIpz5yCAGxQXQSDLKHgl9yQyBAYlRvr8/GxMDEsJRKNjsHZuu\n", "RlFZeWXAyU+DEbK0ibEfHh7GwcFBXF1dle/lmnTWhlMJVu5NgCSDEeYIBckpCzZkq9UqMjCdTstp\n", "DNepIa/HRsEMnzcigIQjlT6ia0MwmUxKMS6SxTAefLbJMzULgwLBy8bjAVihtFFE5CBMp9NaWewm\n", "j9dx4Oypfah387Fbk+cdUQfc9t5Yh4goBQw3Nzcf3OA7nU4LSETRZkASEQVQj8fjmsHhb/Slab7Q\n", "b0tLS7G9vR37+/sFkHCJ5NOnT2M8HhfgmhNRSaaHGeGqCuTVifqchMPo0zLriS7ld847MDtrQG4g\n", "wguWF/aIEKONuZ09g2xak4yZJQCYUOzs6OgoXr58Ga9evaqF4bik1OuTHTT/ZL94n/N3QAJ7Lie3\n", "o6cI0xG2QYf5gsccLbDOQpcQZrETwTrwur29jfPz88L2NQESxoXsWS8YkNBPHHpyHTlwQh7n5eVl\n", "eWYGcmaxnAtkNi6HyR5rn6RSKx33ArCwppwxPoRIOCnTbrdLgRvYkKdPn5bN12q1Ynt7O7766quI\n", "iFriDzHhfr9f6C4+l+k52u3tbVkAFs0hFAQTYz4ajcpZd5/5R9G56iwbBY+ZLHpYHVedNUK18qVl\n", "o9KEQjNz4PnHoGUknitK8tOUq5/FXEPf4SWQUAnt1+12S3EnjCOgDi+PZk+qiR6mv3w3m+8xkGID\n", "v7y8HO12u8z/YDAoidJsVKN+nusx0g8M19u3b8ucmgHjfVbOec2yDNqL85jdhww+3Df66/g5Y0LJ\n", "TqezY5Dem3kvNHmvn6tZl0Q8DDPYA7UuwVnp9/sxnc7uGYqYlf9n/1ZVFRsbG7G/v1/kNhuCXq9X\n", "dES32y20vY2NDbwZBwA6Se1c8ud7m7guAifl/v6+hDI5VUMiq08o8hlAKmtsvWD5ywxZZhKYYxpj\n", "y3kjli/rkoioMSYGw035Gv7ufOJjOp2WXKDT09M4OTmJTqdT6hQxv66z4f5nlsKgiH3gsfEZhzaa\n", "QiuceMOmbG9vFyebPZsZJX8v38m+vLq6qo3HcwTosNw73JQTTD3fvM9sOGtnPYXNIqkVXeR5RSf5\n", "BCkOH8/Je/JDHZqPDkgcBzTSZsIJd/gYqlEZhW2caIbRZPO2Wq2S8e7YF14yR78winjFVtL0K2KW\n", "V9JqtUpslg2LEGLQUGQk4RJaonG/hOO9VVUVMMN9Lff3s3tMnCDk2HHuq5FoRqGeawOaiHoVRgQo\n", "e5T5e2GuMv1rxA0QcdE3Z7+fnJzE6elpYbZcFI1QkGOZNuZWgoSnzBIYudsbynMTESWZ9f7+Pk5O\n", "TqLf78fTp09je3u75s3lsAZyu7i4WGQLo3N9fV0L5bGBHR4weLNMPeZNMBaMGuuWaWga7A7KyWyd\n", "ZR0lCyPk72oCc7+Uxny5jwbXDhsgv6acT05Oarf0wgJMJpPo9/sxGAwiImJ7ezsiopbQDlt2fn5e\n", "AMzp6WmpOUSz0bdsEIoEgPOCleRUDPrAYRu85JWVldja2io3+K6trRV2wldNYEAi6kdmc98i4oG8\n", "e64jHs85s+ExcLBu5+/0wzUusoPjfeowmh1LwODh4WEcHh6WeV9dXa2xCdYjj7E6Zh0BMpnNByRg\n", "c3CE/FmqS5+dncXh4WFMJpNydBvwkL/fzgD7kZ/5+gPm1CEV9rPXzGyHHW0zrJ5r63vsqcGk721q\n", "+j4f4LB9ADRlZ+4XA0hoTUoXugvjY4OCAODN+OgRAxwMBnFyclKMG3HZ29vbcmKFz1FC2V4iuQ0W\n", "WlPwUI/ObUBIIqJcZW0ggrJzSfiVlZUSJyaTH2/I/co1MbLHlT1CK5asrPlMRDNrwN+NrO0p83cb\n", "T7/HCoTNhcJF8Zid6na7pRw8tWPI5clKk5/vM4psHLwWNjXryJxY2fJ3j/fy8rIwJNmYsaGblLcp\n", "epSWFQ3Px4hR8tvrhDIH6DlEQh/4P+8xQ5OBJ+tpmchg28q2SS6afv//R6F87JZlwdQza5DpeZQ9\n", "zoM9RfJtOp1OCZtg/Le3t0sNEtaSMAr9YO0zgPX3R0QJtWxtbZUwDXsFGYFtoeYINSrIG+FUDXfd\n", "APjJayFU49MozFkT0PTezuC4ac+ZpTTQtixbBrPuQL4zI2Nnz/rI4ZDxeFyYkdPT0+h0OnF3d1e7\n", "OsQ6yvvHcpCZEs+RGbUmdtZgDAaOvcpNwpSjwCbBlOT96hcOB3bB107Qd1+0l8Ns6EKAqNkNmIsc\n", "LsJ5dN/QRc4fMjPLd9EnhzKz05j7n/fDY+2jAxJ7aRF1w5njtPzNiTkMjgkERd7d3UWn04n7+/tY\n", "X18vWfIrKyvx61//OjqdTkl24jl5AU1jcfqCHJTp9F0htt3d3djf36+dAMnG1uNgIZ48eVJyTgAj\n", "IFIYmsFgUKt/YsHywjUpkYiZ98x7bIB4f/Zsci0KBDEian9zQluTsbICgQ0BsAEWB4NBjEajcmfI\n", "3d1dLY/GGfA833MIG0UfM0Pi/tm7AdE7ExwlZY8HAEn+z3g8Lpswb2qejfLw67H4tBXVxcVFYVT4\n", "G7LearUKjY+nYoXnMTvPykAoz4MNpZVIVVW1wlAGO94PWQn/VOz3UzQbmbwXPF/8PRtVAxHW9+7u\n", "LsbjcRwfH8f19XXZr+R7/PVf/3VxXHxjt5vXJDMIMIebm5vx1VdfxRdffBEbGxvl8ruIKM5Jt9t9\n", "4HjNzc3F8vJyYUUwdniw5MchXw6jZKbN89bEUryvGdCiK2GyzQCiS9C3BugZIPuF7nMORETEaDSK\n", "s7Oz6HQ60el0otvtloTdDKgcUqAPsBqej6zHcCqY+2yTsqPgomSUjeCE5GAwKIwr8+axey9NJpMH\n", "tzC77owLpHEVCceareeRZxh9X6qILCGzPA+dzRjQFTnsk50ny5TnFb2I3X7MwfkpPfLRAYk3r4XH\n", "nqXZEaN101TkYhDeYYF6vV5sbW3F7u5uqVS4u7tbqrdWVVW7qpvnk7fAKRcQKjSpAcmXX35ZQ/Ot\n", "VquwLr1eLyLigdLHI8IbWlpaKs/gVM1gMCjPg+LH8Bpo0AwCbDhoeaMR//NGwuvy8wxIrEg8Jn8H\n", "GxWqzhcVzs/PFwX7448/liS9yWRSNkG+CwSwkD0XqFT6/z5AwnsAG4QvML58zgDZBe+g3vEoCGfw\n", "fysu5tGMSpMXMJlMyj0kHAl0VnxElDFC3wNaWDsDIQMSFw20DBiQWBnznVbefjZGIytzg5vP3XII\n", "wLoke2fZ6/d7HOIBkF5fX0en0yl1QTiOu7GxUWPEOE7LesMMttvtGpjw/HM678svv4yvvvqqJFDT\n", "9+vr6xgOh0WXeP82ARJyoCJmzs3FxUXNK20K1RgI8Ozs+DW17NjYebOu8nzzu8wYPsbummV1GHY8\n", "HserV6/i9evXhfW2I5RZUObPp56aAJH3K3rBx+r5ftbWLDp2grwfwmxce9Hr9Wr3bQES+C7nNwFI\n", "XJ3bfWCeYNCoYm7djP3guhXC0e12u9hLr02r1Sq6mLliDnHmrDP4Dq+h19aAxKUOMhv1IY7NJzll\n", "Y8o7I3cbC/6GMvRkM0H8ziiaI1f397O7cCaTScnXIHaMEo6YbR4XHWLCSEDd2toqR/tYSAvdcDgs\n", "Y2ScGFJCNS5+hsBTRRDvyUbTxWzsxWbaNbMmWVgimisGAvT4fQY4ZhcMaNhEzBu0Nhfezc/Px9XV\n", "VZydncVgMIjDw8PodDrRbr+7zdTIOx8ndPMmYMN6TIwRGbECNorPuTheJ3tAFJjidIVlDtbClTtd\n", "Ch5qHeVBPwDPPIskQzN5lu8MwDGSKCYr6ogorIzXFOPoY8usmXOabKA9LwA1g1x70c4v+lzNe8xy\n", "HzGrCpxDWJbrPNd+wTTBqGJoBoNB3NzcxOrqaskHMRtj79G/Z4/AuOzt7cX6+noJCz158qSwh71e\n", "r+SR8UwMzMrKSqytrRUgAhMDGKZek5llABT61ExIU3gm4mEuif+W9Y4ZDX8+6x7LjvW3gRM60Ent\n", "JAv3er04ODiIg4ODAtbs2BkoZIBhhw0A0cTQWDfnU33oDjPLMKu+KuD8/LyAF5xVV+tmjPTNQAPn\n", "ejgcxng8Lncc4XCY3eUkD4cjABS2ncwhY8Lh4tAEJeYBombm7QSiD3GQDfIMdC0fzHVTWa+2iAAA\n", "IABJREFU+M/Ow/vaJwMkGZkzCFN8DITFiJgdn+I93hARs/jaYDCoVeDc2dmJ/f39WFpaiuFwWCuY\n", "FlHPgrenOJ1OSxLq9vZ2oWt5vX37Ng4PD+Pk5OQBBc+CcqoGoYl4JyCEBciJQUCWl5drbJBjeH6+\n", "GQyaaVHmqCmEwPsyAwP48MkaezUGa94gPn7IdzjhjFojW1tbsb29XY66Eg7xGLK8WDF409BX+mDl\n", "agVpg9UUEnIuAMd/87l6Em+3trbK6Yvb29vi3XLEEeAAIIGZgbLFOCwuLpa5sPdjcE3fSFDEC8MY\n", "EWZwHoMNCHKDMeAkCIDEFGv2Fl3fx3OHTP+UIvkUDR0R8ZAtjJidLLLB87g8197vVqzk+4xGo6JL\n", "YCaqqionbDJDmVkyh2qePXsWe3t7BYxyku7y8rLsFXIDeC5GwYAEYzKZTApIBpCgSzj1gQE1O2AD\n", "nnUIMsTet1Fnbjw2s5s8g3+jT+lTEyAxC0TiPw7ZxcVFHB4exosXL+L4+LiUfKB+C2vnvZ1ZQuuR\n", "nNeQQ1aAfq+n9wi6mb8DSEjYh50yIHHNLBgJ5NEsKHYB+8VxXoftmFP2/eLiYknAZ21y3hDvp69X\n", "V1fFgaQvBtMGdjiY3iewQey7JgcZ/WUw6kRb5OR97ZMltUY0JxYxIf59RPM9Ffze3hoo0zH9i4uL\n", "AgR85BYjh3E3vYpRQbA4Vgdy53Og2eFwWDN4GE4KH5E34uPBZNGTSJdj+VZy2Rs0ELFxaGIP7Bn6\n", "ZUCWN6i9ZgM+NjPz7rt4YI+IoZJw1u/3i/CibFZWVsqc+8ifjV8eI4DRbIjry+TwAuiefuP1IyNs\n", "UBQV64XxyJ5znhue2Wq1ikKCZnVoAy8hIsr3wHJw8Z0BhTctCY6waIwB7xcAxN6wgeG5jJl59Xsf\n", "Y6YYs5V8/vcvrTUZOBsWz0VeS//NIC2HJC4uLmJhYaFcU0FozZeY5fAquoBqrPv7+6WgIvJJDtpg\n", "MIjxeFwzqHw2J8GyH/D4KRcQUWezHutPDsFmVuMx5sTziZE0u/AY+M/sTGZXXMCsqt6F1judTpyc\n", "nMTBwUG8fv26GGr6QkJ3BiOWzzwG9q6BiQ0m/fQecHEwxsL/86lKcj0AJF4jHAJ0PnqD/g0Gg+j1\n", "etHv9wtwWF5eLndtoTOpS5NtJutG/5zTgYw4HwWga6eIOeB5WTfzHtbRf/deNNOYZczPel/7ZHVI\n", "IurxMwTD3j2bHMVigfNkISxW4nzWwnBxcVGqGv7VX/1V7a4YnkvMDioWrwJPGEOFcvIFcEwy4yDD\n", "Gm+ILGaOrGHAJpNJLdnSggY4cbKkwULEw0xlU2VWSiiQrERs0HNsNwNGb9D5+fla2IFcBrwZCsRF\n", "RAEhhEMQerMbVqJea+csTKfTAuZQvtkA43VQ14HYKUdxOYLH+vGdMA6mLJl7NvP8/Hxt7cbjcVRV\n", "FZ1OJ/r9fgnlRMzi+ZPJpObJstbIQlVVBTBbppEXkoF99NHUrW/ojKjXMTAdjOLNR9dpWWnz0/Jl\n", "YPa5W5aTnHdkheyqoVmX0ACKnmMnKqO0fWvsyspKPHv2rCQvmtXwnoIpo24Ie6bdnlUahSk1OGIM\n", "a2trJaF+Y2OjHC91HSVqMNmgoEsMApw79Bjo8Pyg37LRz7rEsoPRNjjJAMVrhGNDaPPt27dxfHwc\n", "3333Xfz4448xGAzKKUn0PeuYdZYBCT/9Hp/Ec+2qHNK1w0Tf0C3o91arVUJtmal0aoEBp9eCsAyy\n", "1ev1SukB2BzKJKBH2u12+buZT1/HYf0KKCdigK7ghJ5zdDJDa8bPumJubq5c8pfDQ27sBXRilo+m\n", "z7h9EkBiZWdD483L/29ubsqkGZ37eUyI70Zh0fFY2fDEYbn/hgxtU3H2cllQU6tVVZU8FTLtI+os\n", "DkYGQIKwUMyHY3mUSud4oRWAN5hjlszhY+jS4RfmB+Hys+whWZnnlhUsHtvy8nJsbGzE1tZWCUWc\n", "n5/H4eFh/P73v4/7+/sae0LYCkDi51tAnV/ivjGvlJjPJ7YYG3SiWSAUD/NCvB32zGwKxp5ncsQO\n", "Q+Ur4DFYgFuA4NzcXFFCGBm8FBQqgAQvhbGgzPD+UHgYMVOePMPsRw4/2JgYzDBGK568Px+j1X8J\n", "gMR9yLqEeXQeifdzRDxQlDacTtDDoGCg8IiRbdYJ8GklDCPGHgeQOHyLLqGys+cZuVxbW4udnZ3Y\n", "29urlQvAMcLzdv4F+yGHZwjpeN81ARPPK/vVjBLPj6gn8Xuv8t0GKAYlAGTm8smTJ2V/HR0dxR//\n", "+Mf47rvvSn8AjOhir5u/P4OS7DDSH0JyABX0LfuKqskABsAjR6/n5uZKOC9ipjsw9rBs6ILs6DFW\n", "ngtDwgm/qqoKkMEBi4hacipJ+AA7A3HvAepkcSoL2eLggZOuWWvbRn4HqM8hcbMglh8z3f6dWZ3H\n", "2kcHJM4XYFEcMrGHnCl7e9S8n02L0PuYLu8njooHY0CSaVuS1+bm5soZ/9XV1bIxUfSEaqBJHcpg\n", "czkDnvAAyuzq6iqm02lRHkbypgvNZDRRXNlzybSsx0bfHb+zsTENS1/4aQ8CoEVlSLz4k5OTODk5\n", "ibOzs4KgfUmY6VlQeY7rekxWyDks581Gv9j8Tdn5yF5ElOq+ACsMj4FuxKwUvK8oAOwANJgXZ6jz\n", "WR8l9bzyXVT0xPMiP4CE4F6vV+4ycnlwWDrLeMTsBJuNrI1MBrlmvmyYvDfznPhvn7vlvAXLr4+B\n", "RtRZNM8byac23Ow/s6QRM7l7+/ZtWRsAYjbqETOwuLq6Gvv7++WIr8OkMC6wa84zaLVa5UTNzs5O\n", "qeoM8AcUQ/8D9OmDnTuaDVXus3Vv1tFNzAjPY26aDJKBFZ672WwYSzz9i4uLkrh6cHBQqun6M3wX\n", "z3afvN/5fusdVy623jGzwstj9wking8IgOXkucyTwRksBrKG/icvLIehuXWcMeAo01wUDSCMc0Ru\n", "DaFECuQhTzDVhNjZCwCo7IA0sageb5PetL1qkqcmoNLUPgkgYcGdmMmEWiDcYVPpc3NzhcUwGiU2\n", "ZyFjQ97e3pYENMCGKV+AEUdUKTr09ddfl01nCtyJRwASJnp9fb1UUGSzOWcEROwjgkbzKEkrJ5+W\n", "yCDNnzcgsfExwPEc816Dw8yw8AIY4K1tbm6WfJhOpxPffvttvHz5siBoDCzHzvIa8l35eJ2PpVEA\n", "CgbBno7jvii8iCjeo/NGAB8RUQuJWYnTPEeERFAeo9Go5BRUVVWYLU4XmWkioTKHJXkucWDGznw9\n", "efIkLi8va4AEL9mABGVn+bQMMO4mQMKesPLOidNZufq5TUDlUzf6y3yaBczODfNOQ0ZRwM7NwevM\n", "jgZyR8Kpq7t6n5iJoCji/v5+fP3117G2tlZzuDDCg8GgBkgwwisrK7G/v18ACTlosKwAEuTb+sEn\n", "bAyG7UGbyTCT0uTg2LHheQY82YHk93ZovFd9aginptvtxp///Of4p3/6pyL/fA/Jl015K03H77Nj\n", "ygWEZo8eAyQGWnd3d+WyVIMV5iAz5NngogNgZa+urh5c2uiQq6vL8oy8VzMAI2mWQxDYnsvLy8K+\n", "AQCph4WjaEbQtoAxMa4MLqpqdggkgxc7Sk1g5H0Oj9tHByTE3xCK7H34RAeL3oSivDkyQs4xWBuW\n", "VmtWlhkKjImlP3i8XAduZeeS0YRfUFwYW64Cp6ASVD0FwUyxN7EeblYWTR4f74mIB4DD89QkZN58\n", "Fh4bOv+dEsh4apPJJIbDYXQ6nXKs9+Liomx86q64vktmbHxSyH9ziCpfYoVMGIh5TE10IGuTgYFD\n", "RIyd99uY0U8UA3OUGSXPe6Yy6acZMJ/M8j1G4/E4RqNR3N/fl5AS+TpZBgB3Drt47Z2bQ/O+smzY\n", "GeB5+W/+3edsxNAjHoIm6xMDrLxnIuq0MsoV2cxzg4xA85NH4IRpGrT+xsZGqYfEMXEALvko6BIc\n", "HpK/0UEAUbO4hJu9l5vAJ+vp/Z71SZMnm5tZVhsgz6kZy8y84IiQH8XcUUzszZs3cXBwEK9evYqj\n", "o6OSG0VIc3FxsRh/+gPwyHWAyCOkvx4n+xoD7rXPoJ25QB4MYm0zPNew0E6Qpb+ZeTN7ahm2fkPm\n", "siFnfzo0FzG7niQiyhUI2N3FxcWaY2MWHFuV58x9ynk2j8mFQ+7en3n//ZQe+eiA5Pz8vJaQRCNu\n", "zgkYFgIhYRJMgZvVMIXlQTKBCAHKnrwC3usEJhgOTsdAhbkK4ng8rlXQm0wmpTKsbwB2/JDLAAkj\n", "NXkhXtyIelzb4CVvGIMyo20bYD7HT6hUr4EbgoVHs7q6Wk4X3N/fR6fTiR9//DFevnwZvV6v3BK8\n", "trYWm5ubBZg4/8dKn/nDyzToMGtCITUUmpPHDGAYk+cP5UNOhuXEc0Cc1ZvOVLNlCyXD/10bJSt9\n", "g0XPsZUM8tzr9QqYIj8JgItxWltbK8qX/tIX/s/3MtbHPCBe9qBRJN5jNmbM0y+BIcHrcz5SxCxc\n", "RqJkVVWFIo+o50H4J4wGXrHHmA0ZIdjRaFSj0w1qyS/Z29uLnZ2d2NraKuuALrGTwnqRn+XiZ9xx\n", "g5c9GAzKuuTx05pYiqaQDf32ZwxuDbyzYbED1AS+DfoZO1do4MF3u9148+ZNfPvtt/HixYvodru1\n", "6zN84aaPWJMvxlqYtUHu0evWPTgg6KAmQ88zmhgAQEfec5lZyXrbToPnCJmBibVDbWDXtHcjZowR\n", "oZ+Id/as2+2W/CL0CAzJ+vp6eaZZ+Iio7Xee5fcQis4Aw8wZc2H7Y8fTOUfvax8dkDA5pqmMBkHC\n", "VVU9KKpiVOqkPTaFDW/ELGueCSS/BCBiBA0tByjisqrl5eVSVZN4nOO9DjEQ66dQzZMnT8pNv9Qc\n", "IYcFb8cCamHMG6DJG8lKBM/AC25F4u+xQYZN8KbhGfZQqMeC8ex0OvHq1av485//HDc3N/H06dNy\n", "iomiTxSCQzGg7COipoBzbQtvLDaaEz2N4JlHy4QVhcM6mdHwy4qD//NvsxB+OV+BOTf1jfLKLJg9\n", "V9ZtMBgUWph6AZQU92WMsCj2Rry+BnV4dWaIUC58jvl4TNYMjlHUvwRAwj0tXi+PAeMXMav3EFFn\n", "FPmZvc7MqDB2ywGn5QAT/myr1So1S/b29mJ7e7sYAQDS+fl5DIfDkluQQzVbW1u1XC2cH053kWxv\n", "5i+vXTYClvXs4NC8l7IeMdh3M4D3nGanBl1CGLLb7cbx8XH88MMP8ac//Sn+/Oc/l7VgbL5awroe\n", "1ttHrnM+T0T9yD/7ASepad2sT607M3uSmaKmOc16wTqE39FH78P84vdNgIT5NqgleZ55wpkBCFL2\n", "gnkzQLB+bXLwrEe8b5p0UAavtjvZXje1DwIkVVVtRMT/EBH/dkRMI+I/iYjvIuJ/iYi/joiXEfEf\n", "T6fTQf6sUaNpLSYSZBwRJcZuL8iDMCXkgdsAQQ1GRK3EM/Q7eScYyaWlpdjY2IjNzc1azJLF9vex\n", "aBhUwhlLS0uFDnMlVsdS6SPo+DGKvGkx+b+VjZs3oJ9tIbbAoax9RNSMFYln8/Pzhen58ccf4+Dg\n", "oJQuZuwwQ9Pp7LisKW2DLsbIWtB31pAaHT4ZkUNyTeyR5LQ2xySzIjcZ5Hru2Xhk2uM5Gzwz/xGz\n", "G4OrqirvN73pEAn9ArTw/ogoMubTFtnD5IXBcPizaX75fhRQPkJObhDrxHz65A9zZcP5c9vP0SOs\n", "kUEI80kfybOIiMKi2kCYMTHz473mcIMvKnOumsMGzPnTp09jc3Mzvvjii9jZ2SknMpzIbRZqOp1V\n", "1qXwGSzj0tJSTCaTcrQXAGZgYZnMa+N9EjHLx/N+sWG1jrEBzYA8617k1nlbzJ1v/m613oXNh8Nh\n", "fPvtt/Hdd9/F69ev4+zsLO7v78v7yaUwmDDjwVicC8LvnYsDUHII1vrGckDL4zSTYTvgsEYTA2Lm\n", "wQcxLIPWxbDn2A5yaPw9eW3RM/QXkAFza7bU65b3Dfk47pcBRNYlrAOMihOXffrKyecGiRlUNbUP\n", "ZUj+TUT8H9Pp9D+qqmouIpYj4r+JiP9zOp3+d1VV/ZcR8V/95fVggazYjVQJvzBpKGrOc0c8LGXd\n", "JDQsKpTt0tJS3N7eFmBgNgHKj2dSQZOz/kweBtsCx0JAK4I8ObOOcDwGSOx5uw8WUAOWrECyYrFX\n", "5NwEz5uVCACEeYDOZPPCipDgC/13fHxcFImP7BHiAhk7Kdf9zwaTvtiY5qNrPMOhE2+oJkDStIms\n", "DDwPVjCsjW/mJJznEBfPjohCsU+n01Jp09Rw9rJQuqa6MWpZpi0r9jTxplFeeX9kmSDsSC5PptN9\n", "0o1kXXtAVrr/EoAkfoYeiZgdsTTTFzGjmE3jY8wAXjQDUP7v+QOY26DiNJmtBewxn+8DJIBCe+DT\n", "6bSELcm94oTf4uJiSeKHTTEg8Rra8FgGsnPD7yPqyagGNZktyqAkGy2DMwMl5BVdcXf37gLDTqcT\n", "3333XfzjP/5jdDqd0g/kj/VkrqwL3Z8M7txP1rAJtHlcWSaaxucxNs2p94UdJRgF9rjrhGRAwsnE\n", "+fn5GAwGBVTYFmRAgV5AdxgcWz9kR8I6wCEs2w3rIDtw6BI/J+d+8v2Pnay1LD7WfhKQVFW1HhH/\n", "/nQ6/dd/eeBdRAyrqvoPI+I/+Mvb/qeI+L+iQZEwaBt408AOO1iYTAH5/1kgTS36lT1IFAPsSN40\n", "gArivVxk5EuPUATtdrvGJAAyHKphs9kAWZDp52OJTNmg+d/5efwtIh58nxV4ZlcAc8wDbA/jGQ6H\n", "cXJyEoeHh+VMPaCFUyYGWxZeb1TW0P/PaJkNQF9z3zMAaTIkBh8YqewBulnB8R48a8aAJ2tqGkDn\n", "e09sNCJmtT4MSOlD04ZHgfBc/811VjK4B6SyN+zVIU/MuUGPZY3vN2i1HLF/fk77uXokImoG3mOx\n", "LvFaW25sgMysOEfBuiOzBH5PxEy+nDgIqCD0Oz8/H/1+P87OzkrSMowHe467lPicrwegVoVPodGy\n", "gWW8jM2y4vX277LRyHuSecu6yDory6PBXFVVJYH14OAgfvzxx3jz5k2MRqNS76MpIZa1aQp3IJOW\n", "3cxuWNfk+WI/eqyZLbXcvM+A+hnIju2WWQF/N4AB1gYAZp2TX1mO/Wz/Hhl1UTaadbEZe37mPZ+/\n", "x7rbTImdl1wrynKbnaem9iEMya8i4qyqqv8xIv6diPi/I+K/iIj96XR68pf3nETEftOHoZKur69L\n", "KVw2nZEqE8MrCz3KHsMfEQXk5I1kI2FFRTJURBQDDAghPotHdHR0VJJSMTZsIMI1vFqtVqk5wtE8\n", "h6fok/NXcgIiAu2jnJk6a1JKNKPnzEzY487eg8HI6upqCb+cn5/H8fFxfP/996U2wO7ubgFhLsZE\n", "0hoenTcWQMVskfNWPE4b6Twm0LiTim3c/WrydJgvfx+K3x6vQSuG2GuJzHHduJ/rzHfW2hdVWcma\n", "8ry/vy9Vbpk/agmcn58XGXZsHkbHioK9gNE0o2fKNXt37NGrq6uaJ27lj6L5Ge1n6ZGIKF4hya3M\n", "t3WJlbeNZwa8rVY9rOhj495jlhErVP49NzdXckeI2fOKiHIvC3qBEIVPsAFGVlZWotVq1WpJUNzP\n", "cszesQMWMfOODZyYgyZA4pZ1aGZrmd8MSHKIC1ZpcXGxjOPo6Ci+//77+MMf/lCOv8KIOPzAGFqt\n", "VtmPZj4MFLJT5v5nAOrfOS/I+zHrWwOLbESzbkFPOKQHqMprxvxQkwhdktlg72FkGqfIDgRzxryx\n", "j8lfxJm5uroqqQZm/9hXthsGegbD6CqHx7JD7PC1GU07AO9rHwJI5iLi342I/2w6nf62qqr/PpIH\n", "M51Op1VVNULJ3/72t0XJf/HFF/GrX/3qQf0RC0P25o3mUCrZcLMBTT/ZizIQwKt58uRJCbcQU+f5\n", "l5eXcXZ2Fv1+vygojDWgxRcVUQSH+w2oJdEEDuiPjbKVqhUJv2vyajT3D+bK3rKVhucX5ExiqsEV\n", "3tzp6WkcHR3F27dvy2kiGCUjb2diRzyMF+a++yfrb3Yhgw2ej2LNQp1lxt/R1Pw+FF9EFEWIfAFu\n", "ImZXmNNH3yljYGG55LsMwpB9xsS8QdU6zAITY/AYMfPwUVDIPM9mT2QmBdlj7AYdTjhGuf3www/x\n", "ww8/1PIEfkb7WXokIuLFixdFuXKyyyCdsTMnGcDnvWBGiDVjjljHzPjZOLVa73JHuHMGZoQ5JAn2\n", "5OSkVFblVB9UvUM1XB3g6+jzNQH2UOlPBguZVWjytjPg5Nl5b/IMG2vmLyJqgITkVfYK9Ypev35d\n", "TufxbPImPC6+K7Oc6ETbjBzSz+uewYR1oW/TbRo77/e/s8ObdRt724DNn2f/omd5pmsTec7dL8su\n", "82Ibii4BzN7f3xdmzUCb61CWl5eLzvX68nLYPbM7lj+/l/GwXjisVVXFn/70p/jDH/5QW8vH2ocA\n", "ktcR8Xo6nf72L///3yLiv46I46qqnk2n0+Oqqp5HxGnTh//u7/6uVmbb5Xkx2CTsPRYvY5OZss2n\n", "dlicyWSWgIYhcPyLI2WUQEeJVFVVuzgPZeAJd9InF2VNp7MCWuPxuCh1U/QWXIOHDCa82TN9ZmPo\n", "ucrG3kKUAUwWMI72bm9vFwEiZ4SLrfAAFxcXa8CtKUSCkKJk3DejbvevKUSX+8+GZ+x8hzcvG9Qs\n", "ATLi92VEz7MwKuPxOE5PTwvzg7yw4X0/US5e5I1KP50v5Pkhl8ohI9gpe/mu42Pv18+zYgKkeE69\n", "Fs5NyYxRZif/5m/+Jr755psCSP7hH/7hA9TFo+1n6ZGIiL/927+NXq8X3W63dmlZNlIR9VMiHrcN\n", "uNk2OzzMvefZzBshl6Wlpdje3i41R7hAr6qqwpZSNgCAiUEkB4tyAyQUu1YJ/crAoUmXWGeYEfJe\n", "ZdyWiyZ9YV2SDXo2mMgz84EMw4y8ePEiXr16Ff1+vyaL1nVN+suMl7/PwJrfs1/MgmUQ4e8wEDFo\n", "zaE6y1EGvVmPMKfUoamqqhTFxIHl5BxhcZhlqrfmUhb5BUg28+1y9XzWJ1nRIchT1kGZ6WIecWKy\n", "THgODCiZb4NYnv2b3/wmfvOb3xSA+fd///ePbfGfBiR/URQHVVX9W9Pp9NuI+FcR8f/+5fWvI+K/\n", "/cvP/73p83t7eyXXoN/vl/oV0EYsjNGVjbBPGLAoGAIQOQaLRcE4MmFU3Wu32yXeu7m5GVtbWyUE\n", "ERGl3giABHTJwrHpADEouKurq1JHYjqdFuXyl/lrRO8ouPexQVaqNkhNXoE3Fd/bpGD4G5Q/gITf\n", "X11dxdHRUfzpT38qc8882/vB0DflbPgonhWMWSG/D88fI0BfrDjNdPFZNp5PTfFeU51WalZ0ftb6\n", "+no8e/Ys2u129Hq9AmgNxlqtVrmPxGEQn8iyEmReaIwdyp6j54AplLnlxnUTzLRkMAHAzPS2+4Ss\n", "oYyywc5Ggs85B+af236uHomI+OKLL4r8dTqdB7ldmYU0m2Gnhv2EAWCPW88gr1byEVEAjPfO7u5u\n", "7O3tFUAymby72Kzb7ZZjvmZZCPmura3F9vZ2uWtkOp2We244IYZX6v0e0VxAMQMSg8wM9K1Lmgx3\n", "BgJ+vv/O/gS8U3X48vKy6JE3b96Ukg5Nfc8gkO/175kD6xH31wbV/W4aVw4D8VkXWuMZ2UGQPNfm\n", "gT4sLy/Hzs5OGQt3Z+WkZeYLxo85I8fIa8N3ZEcEIIhDhoxlZxEdksM/sM4AF/Sx5cUOoXW3bVWT\n", "jWsK+9qpfqx96Cmb/zwi/ueqqhYi4vt4d1yvHRH/a1VV/2n85bhe0wcpF+z8EOqCIBzEhLPwZEEC\n", "bDh2mhO+rExgR/gciBR6lAWlfki/34/j4+MYDAbFm0FwqDViAwU15qPEgCj6Yk+E31kpZPTJmPmb\n", "f+eWFUaTh+GNZOMEuMCjiYgCFo+Pj+P09DTevn1bABj1AfDqWQsENXtd3si0/HdvNnssgEqei8Dn\n", "0zY8g+d5/Zm//F5kh75YMV1cXJRLrqBPGb/nyeAhIsp7GUNWZhi+DER5f1YATfMAaHB/+b1BV54H\n", "9yXLUDZCpm9tlC1P/wLtn61HIqIkgFoZwkqiBxwys0J1Q54cOnWIk2bwn8OIS0tL5boIvF7i8sPh\n", "sOwlrh5A13DviPNGMCrE+wGpluPMarivGSxYd1rmIuKBXvFc0TIA4HcZIETM8hfQh8PhMA4PD+Pw\n", "8DC+//77ODk5KTVUfB0EzbLtBNcMPJqAtX//PgNuHeh9473mn4wvzyPvQW68Jrzv7u6ulD6IiHLj\n", "M0XvuGQREEL+3vX1dUlCZf2dq5HHlnVg01pnAObw2uLiYu0Yr9fYY/c+aNpTTWDWz8n9zkAxtw8C\n", "JNPp9P+JiH+v4U//6qc+W1WzmhXkK4zH40JLEoKx12vqmJeBBhNkutX5GhGzxB/XYZibmyvhFo5g\n", "wtBgkAhV4DVBtYFuASQgamK9fIdPZLhl4GSvtGnOMijJ3u5f1uWBsWmK02VvmZAVJwFub2/j5OQk\n", "vv322zg+Pi4nOpy8S199MiFidu683W4/SKrMfcCImJrMSscKw3kjeC+Wh6bk2TyHBiNscvpiRm44\n", "HBZvxVUjASQu4x0RtUqwJI8ZRNiA4ZEwTwBl08wZkGRv0Z5s3gusQwZgWVYsJ9k7tiwahPj1c9vP\n", "0SMR74wfzgSnvbjwkqP27EPvoWysM0C10s+hH7+XOUAv2MgARpCJs7OzODo6ql0HQFl4F0CjImsG\n", "I+grswpeOzcDhdwyWMleq8dpg9+07vnzVVWVkOZ0+o7N63a78d1338Xvfve76PV6pRoxNaJ4jp1F\n", "y7WPx/pv/D0iajogJ5P6ffQfhhud7as8AD98l503j7tJHswEMG83Nzcl1M26Ew7e3t4uskJVZvY4\n", "TB/A4erqqshxRNTk1MyE7QosXpYPPkfBT3JokDMzz1mGMhjJesRrZ1DEvFq2ssyAWcnuAAAgAElE\n", "QVQ1tY9eqZXy4ouLizVq2Wf8ORGDUEfUi6A9hrZYsKysMXQ+WkW4hvLm5Hlg2CjPTBljFAIhGk6h\n", "uFIisTno1YwQm1gLxpM9HhuYjM5pmf2IeHhEjb9nwTKLQf2Up0+flvyX4+PjePXqVXS73VqIhrXL\n", "DJT7kPuI19MUjsp5EGZH/HyeFVEv8kXYKDMEGbAZQPl9zldinpA7Jz3nipEkn5JHw+mkubm5cnEi\n", "nrobipfvMsjMgDTLtsdImOHm5qYoMss/4zDzYznIXo+/z2uUQci/MEPysxoJnhSkYz0xilDesJV4\n", "sVkJ5rFZZ0Q0s43INHJBuAVA4oscOXLZ7/dLiXmYYtgRHAJuJudklesT0ZfMLvKT8eVQBWPLIZLs\n", "2VqXWN/k93hO/CycuadPn8Z4PI5+vx+vX7+OH374Ib777rsC1gnZE5rlOXkd3H+Hy7IjZ9CQ5d0t\n", "G0Ke61we1tkMmW2Kv9u/c1jeDEpElHVBh3rNYUhwUFgn5gqnKzMvPjXK2JFX2wCPPcu6QTp7xrkk\n", "Zn5sczPra3nIgKTJ7n0IEKF9dEBycnISm5ubUVVVAQjtdjuePXsWy8vLxSsdDodxdnYWnU6nNjCj\n", "4Yg6vezjThH1GJszjOfn39X1N1WKQHA65uzsLC4vLxu/e25urrA7GDSOtA2Hw7LpImZHCH3G3jS9\n", "Ea09Ad9XwmbJCgOh8UZtivnTDwsUipyw05MnT+L29jaOjo7i1atXcXJyUkrpA76gk53Qh3FmLZgn\n", "xsDGcnIk7wX8mTKlf1a6Xs+cLc64vREwTD5W5uN9gEvGTcJhxAwUELqjn+12uxzDNJhaWloqf4ft\n", "ePr0aayurpbTMfQpIsrFjgZZVgKWARSO/+86GWaEDDAzddwEPmxIHLKyIjaoQ14BQk2s36duR0dH\n", "RX5JOF9YWCgOBnM9GAzi7Owsut1uTcZYLwMxy1wTsLeBZ29sbGzEzs5OLZGVUDR6jFwAnk3IwveL\n", "uAosLA9j4rubwH0GHdkAwDzwO35mg5G97sccqoh4oEsA6+j1s7Oz+P777+PFixdxfHxcWAgcT04e\n", "8Zx2u11+n9k88rJ8lUg2uGa1slOa9wPPjJiVishhHOtTxun8KtsfZJBTcC6C6WPfnEjk5mbXenIe\n", "2f39fWHGIt6FJkejUTx9+rTMA8el0S+EzA0g+H928gz6+Bv2CWeTtaE1gZvHwKlDn95T1iPWme9r\n", "Hx2QHB8fR1VVpQbJ7e1tLCwsxPPnz+Obb76Jt2/flozs6+vr8n4GZsNmZYq3AkCwxw0gwTMlbwRA\n", "gqGJiBiPx9HtdkvmfsTD5FO8Io5LcVIIBYSigXqFfkOY+S6YFJoFiGdi9K0AbOAwVB5/xMPTPFmh\n", "RUTZHCRoknj2u9/9rhh8Yp72/KzIASRWEFDlvHzSKHsO3iwGacxX3lw2zDQrEf5v8ME8IPyTybsk\n", "RE5WEZYymCGsmOUtMzyE62ysXfKeOSHfxsfuGC8MR/Ym7BnyfI8f9jAiijLPgMSMieUMQ2agnYun\n", "eU6tlH1653O24+Pj2N7eLszX3d27mkbPnj2LL774ogCSw8PDuL29LYAke3pumb2zLskvQOrOzk55\n", "bWxslHUYDofR7Xaj0+nE5eVlkUXrEAAJd0QBSEio9/1NyI5lknVi7RgD62s2MSIe7DcbDLMF+TSa\n", "W5aJVqtVjC1hprOzs1LNeTwex/X1dcmrIeTpPcp3OrnWQCSfxsyOjb1vAyy/z7oQeeHF/szsiw0m\n", "+zuDlpWVldjb2yt5hxyYICWAe2QAnoT6qXANOGGdcMojorBOyItZV1IDbPwzePRaZ3aIJHp0EPoK\n", "e+M9YZnKgCS/B9lA1jMza4fgswMSLqdjcJSGR7HT4YiIzc3N+NWvflU8zYj6ZXEWDNNs9uacK0Bi\n", "GDFf37jLZF5fX5crm7lAbzqdFvRIBUaMDjd+DgaDkgMDQ5BBSBOVlluTQGUgk72cpsRIb0QvPJ4/\n", "SqHVapVbR09PT6PT6RQgAhgh8Y6YOP2yYsqC7lM27l82AqZYDSigfvHSJ5NJyefIoIzPcLLi/v6+\n", "FvaLiNr9DiTowpJsbGzE/f19uQaevzsGjRE2Q2TZMlhgjCRBA3A4pk5BLOfEUF/ELx/Dw9O9vb0t\n", "FTtzvJqcFMuG1yUrBuYG5WB5MqNkwIvR+FDK9WO2fr9fDHhEFLkFIBskbm1tlbmjCFVEXalmhR3x\n", "8Oin4+usK06NTylMJpNyk+1gMKiVfJ+fny8n+zY2Nkr4mr5xqg/PnT3gvWxdYp2S1yUDUda2aew2\n", "wE1GzuFFADf7YjKZxMXFRRwfH8fJyUm5tZew2vr6ei0hnFAnc5wZKACYT6wZOOVx5TlgP8BEmWXC\n", "4LuYmIGoZSPnFaFT0HOAI1iOiHeJqxQE8yEKsyz0yY4X6+r9v7i4WD7D6U/eD2NkJ8VzZZ1gEMva\n", "8n4fJY+o1yOyvn4stOnPGfA6ouAQmmX4p/TIJ7ntlxhZRBS6aDp9VxTGhoiM9U6nE2dnZzV6KoMR\n", "C4sFxscwmXwMETX27SlcX1/HcDgsVVlhNxCOJkDCiRSUDomaXhgrEC8+c5AX1hsOY2sDYgCGAgRh\n", "mynJTBKFcAhXREQMBoP44Ycf4vDwsJQpR9GC7GGR+C732R4km86g0cyJvRgrMysGKGDuxWFcJAwT\n", "5nBIgc+xOZEVnokcAEgo5kZyIfODsXeeCN/jMA5j5LlZ6ZiG5sJGKjJSYA/AcX19XYpkoaSsSJ2P\n", "cH19XSslb9DL83KM2IqE+TAIzMbNhsZ7wx65mb3P1ahldH5+XvrGHVKASvb41tZWLC0txdnZWTk1\n", "FlFP+LPuaDKQnjM7Npubm8UgWZlfXl5Gr9erlYinkOLq6mpJgiW5E10yGo0eABK/sj55bC2yx8xn\n", "8ykugyzYPsA4xsNgiOcxv3zm8vIyDg4O4o9//GMcHx+X4/Ku1kq+hPue5xYjbkfSsu5wZcSsSKGZ\n", "YP5PzQ8z8uzTnMyK7Nvg5zvMzLTbMcKBYw9T9oE9a6YnImpz17RmgAm+N+es4dhERHmuc454Rq6W\n", "ax1JjlVE1OqHeJ8bkNjuZEfHesRyirwxh3aubfMeax8dkERESRq15we6gsriKO3y8nKcn58XGsmx\n", "esfYmRAbR+di4OVxUoIkTgw3gkrsFgVidgTKjVMmGEmKoAGuvGkj6tfRRzz0COzJ2sAaMSMg2cNt\n", "oiIRcnszZkZgh25vb6PT6cTx8XEcHR2VfB3CURTueYwZMevh0EJWgPY2GTd/9zg8VjY4v2McKEp7\n", "aEb4VVWVez8871Z2FMa7uLgopx58vTkxfCjf6fTd0ej9/f1YXV2tjR1AYnlkvHw/8wk4oegcNHE+\n", "DeB5JieC+jkALVdLdaJuZtcsZ+yRx96TFUqmX71mv4SGh0uYgbAT6+0j6oBxe8u0JiPjsWewjcz5\n", "xJ0ZV/QCugRwgSwQKna+CcdDrXtyzlVmWyPqSd+PMa9mvHJYJDNFWUc95hwBWOfn5wtL3Ol04tWr\n", "V/Hq1asYjUaliB+gwKxAlkvPr09HYRCRPfrm1mQQ6SOhJCpoz83N1cComU9e7g86NRtgO1ykGcCG\n", "Li4ullzCq6urssdhZpaXl2t6sondshOK3Jg5Hg6H0e/3S74JegFdlNeck5QO+4zH40IO2MlijOjd\n", "pnHTMqOYbZIBuu1X1i2PtY8OSEgEdSEmLwQLhzGoqqrQ06b7OJZppMz7Ldh4xCRxEs8DkCCohF24\n", "YdG0O5+DdlxYWChCAM1/e3tbnmdPwhud/9ubzkbIBg1F6nofTZRZRNSUiwWBceCVQZtOp9NSgbXb\n", "7RbhBElzgsgFoDL7ZMSMQcZ4o/QBeplipc+ur2APzjkKbE7ncoD88bowQlVVFU/BAMcbP+Jd6PDg\n", "4CCGw2FZW1OZ/X4/Op1OAbSLi4sxmUxifX295mECevO6uN/MYUQU5eAxOm+GtWbeCK1hTOkPRgtA\n", "RKyZ7zCVa+DL/Gav1PvHssh3+He/lGbwz1oACNj7GCr6zlFH1qCqqnJvkEN8GeRbxmFKfWSXPAAu\n", "j+v1ekVHYSAAI7u7u7G1tVWSbx0uBLw4PGb5zQ6K15F+08zQIh/Oa8qgwJ/zPOAAZjaAPo3H4/jh\n", "hx/i5cuXcXx8XApCEhZFZ7MOyKTBh0Mb+Th+Dkk3NcABY8UBQxexB2ENmF/rEfYa44d9s5F2Awx3\n", "u92IiKJHrKupzmu2YmFhIXZ2dmJ1dbVmyB0mc+gInUB/FxYWSsiP8DQgi34bFMC0YcfM4E4mk1IH\n", "jPyft2/fPgjPZn1hp+WxXB3WxXbCcmeQ+Vj76IDE1L9PSjD5KAWSbextUg2R46l4uhH1iUDQqch6\n", "dXUVq6urJdxCGAJhRSEcHx+XpCRCLwCZjY2NWF9fL4CKuil4NLe3t4VBMeORY7EYPMcvM30KevbG\n", "oT3m2Xij5oWuqncxS+ocUPit0+nE73//+1JuG8PHEURfAW7DZgHLyWERURTBYxvZGxYGyh5XHjNI\n", "3dRxpiI9NxGzAmXZU6DBbFVVFd98802RAwzQcDgszNd4PC7Hvb/55ptabgvULy2vA5uaMWOY3B8n\n", "JjNWgMfW1lY5zWGqFSNK0jTzwdw4FJaNi+ufeI0sN4yN72S9fFLsczcnItq5Ye4wfhEzFgnlzHzh\n", "4TpMkb3xLOfz8/OxsbFRjvniqHCBHLdiA0jYy4QH9/b2Sjh6YWGhdnEeyYwYyAwwsteZ2TG/1waN\n", "EKABSZaPJl2C4eF95EUtLS2VeRmNRvHixYv4/e9/X4wa4yVEZYbVrKrDM2azOeyALjADaUfP442Y\n", "JYH6ioecP8HvMPDMNWFsxsrJu8dC0Mw/Ybnnz5+X57FfKBePjpibm4udnZ349a9/XTv+n9kH77Em\n", "/UgtE4AEeVGEK3OkoKqqYse85uS/cTWKL75lf1jfZ+fGobfMsjFH3kPInfNI3tc+OiBBoeE9GpDk\n", "HIPsgfscO7kSCBNCEDEr+U5VROLJZDSbWqUiHoms5+fnpRAWiHJ3dzf29/djZWWlACkWD3SI0OdF\n", "YgFoGKnMcCDcoE8Mx2PZ7tnwZaONxw3ogrq+urqK09PT6Ha7cXR0VAry+GgvSXYGIRFRUyQIuz02\n", "DGxG1XiINmJmWyy0Bg1+H3khhGJQzOQCRUTJy1heXo6tra2i4JAxy1BEFKoWI8GpDJ+uwqvOBoB1\n", "za/sYfPviFl5+ex9OPcDGaDPV1dX0e12YzKZFPldXV0t+UpWFCQQOrk15xpkj99riRK3gYeh41k5\n", "ZPA5m+XAewmQaK8MhWjv20mB6AeYKNYMmSAJ8ubmJlZXV2tAhFDReDwuLCtJ8Tc3N+Wemt3d3XIC\n", "aH19vYBCnKemcGemvE2Js+c8fofUWCfkvEmXWA8xZoeXI2bViDGG6Bdy+6jAenFxUUJZAD6/3w4N\n", "QCTfAeXwLP92uMChKwPHzIDyHid02tbw3bwHR5McJPbb5uZmzM3NFceWOTMjxeeQC8pXwBSxLgCQ\n", "zDB7DWzvvEaZYWi13p3ugSGhfo1DN7DPzH++R4c54Hl25gAlOUTD91sH+j04mDhd7rdtlOX7fe2T\n", "AhJ72/ZmImbGAOUCbYzSnUwmhbra3d2NjY2N8n4ubiKJEQ/F5/2rqiqgwkoEQEJow3dTEGbyMTQr\n", "7QxKvBiMCUCSWRQ2bA5bOFzTBGLYhDYSsDB4goCMhYWFGI/HcXBwEAcHB4VeJZa9tbVVYpQoDQMf\n", "e4lsGBgKK0IAlzeXDZmpW89Bzk+wJ8fmQSnwPciBPXjfUswmZe4dQsIIbWxsxO7ubmFNzs/Py/tv\n", "bm5qSaRmsDL6N6D0WvA5ktFMwU4mkwKyMkCYTqflpEZElDymtbW1Eq5Exg1IUKpZLiLigYH291ET\n", "od1uF9YPhetnfQjV+ima+2MjcX9//4BhZbwkGOLtI3PoEmpE0AaDQfR6vWi328VRYa9wQgYnxQXQ\n", "DEig8vf39wsgQVdkXWIw4pd1RETdYFsnmCVExpoACZ/Ljc/wd3QJLAehl7u7uzg9PY1vv/22Fqpx\n", "Pg1A2zk6BgM50dMhuAykzVCgH/m3AVXWhxmgGxA4qRUZ4Pjt3d1dkQO+oyk0y3wR5uY+NEpA0Hfe\n", "j4OUQyDZFhh8sQ7OUQNEYceePn0a19fXNUeF/csanJ+fl5OThIvs1PiG8QwULTNNjmR2xnzDNSDJ\n", "a5vzLB9rHx2QmPLCg494WNSMwRod08wieGCOlWJYl5eXYzKZlARNklIJ+5DYeHFxUWM8KEW9vr5e\n", "mAMWGZrc2d/QfzlGa6RuIxXxMEkQg2qaH0qPv2dQYuose+cudY5x6/f7peDc7e1tSfAljJUTaI18\n", "Hdv0psqJtDZ69ma8rsiCc4lyXk2Tgmm324X1wsBnrxIPl2OenkODJl+MSLIXNLENLwqNv2XllpUU\n", "fWeeULi8x57bZDIpBqPpWSSALy0tFVBOX0xpM+9WdLwXmTZTZAXideE9DiMht5mu/tzNxpV1yp5X\n", "Hg/GMaKed+A96p8wsIDv29vbB6EaF1QE0Pq6BZhWl4gH8Nso0x/vf/qZWQ/vUX6PJ+y9ik7NTk2T\n", "rNlQRNRZFBjbiCinM05OTuLNmzfR6/Xi7u6uhEpWVlbKWmQD5nHkPDvG48+4HwYpNPqdQ1kR9WPO\n", "zknzPp5Op7XLOM3i+pJX9L0NMOvlww4+0mw9YqDH3s0AMTPpebwGLYR+7QwT+kOPur+AdGwcjgas\n", "KAASne/98lg/6HNeWz4fEQ/0SAYhP6VHPjog8SbDeLABHSs0qrQ34FMVoEPyPigOBTKENuIWzs3N\n", "zQJK1tbWyvE6yr0TMoAax2PktAeCCSBhYckc95Eso0uzHYAajHhT0hrjyzHtTPNFRO39CAfzyfHe\n", "xcXFUvDt9PS0HJcktIGidFwYgSXxibmZm5srRhKlC7J2/+kT/86omnl78uRJ8fYj6vUP8rhQdtSH\n", "uby8rClyb2LWA4/fDAk5F6urq6WQlVkOPOnz8/MSBuJ0EjlQ9lZYZ/rQFJ6y95u9YMBz9oQMMKD1\n", "zVzYkFpZONxiZdJEaft3ZoMIbZjZsoH6pTQzY95ngL08j01KnzkgfHtzc1OYv+l0WkKazLVzQDhS\n", "2u/3S74RBQ8JW8CQrK2t1Y5e+kio6x3lnIfswKArnbRM3wwumA90idmyzMR573qP8gwM1tu3b4se\n", "Iefu5uamgHv0a8SMzjdTYt1iZtW1fLJDQt+c38F6RsyKAqKrmlgimJ12u12cMOaeqqg8z0CGNcSx\n", "NZhjj7n0v/W0WTmYUeaJAwYApQzWDIyb9h16w/p2bW2t5D86L8f6xHJnYGI23s4UuZTvY9Yyy3F7\n", "++7aA0cJmnLOfoodifhEgIQFZbF9vDPHfh9bJAbD5IJUV1ZWyua2QQKMcKwYWpvkVJJjUWYIDfFQ\n", "lAN5DAYkbFoUiY+COoyDwsDoZGTvjWDDxNgfU6rZ08DQA0bIHTk5OYmzs7NSknppaSl2d3fLWFE4\n", "PqHi0AqxUliNrETsueEdAmpy8qsNMZ/3RmbNUTJ4qCR3OgGL43yZxXGiJ3NMshxJvlwbkJkvEsVg\n", "TSgPzZE9K3SUt2nirByRlYhZ2JJNSj+ZU+bVngpAGEASUT/Oae/EYaUMSrLio08YLWobNLE9tMyu\n", "fM7WBHCZF89jU8gjgzSUN0nwEVH2sNnGnZ2dokv4Pk7XAEim02ktSdxXzbNe1iU5f4yxObTAXjKw\n", "yE6I9YV1iT16s2leY2TXv3dCeKv1rmZOt9uNg4OD4txERO32c/aIr01wmNpg3J48jloGJAZXDhkj\n", "h4AldK9DwQYkzhdZXV0tx5VxbPgs3w2jQRiHNTEoabVatcKRk8mkAB2DAhwqnGEASVM+Ifqc/toe\n", "OrrgOSR3B3niiDGfQ5f4sAf9R0+7eBzfaecn7zvrAAOZu7u7Um/Mjfdk+/W+9tEBiZUZ1LuTb/KE\n", "gKgd17TQMNFs8NFoVNBdRP0WVpAbyUYvX76MN2/exGAwiOl0Wii3xcXF2lXixMKc9Ei/6CuIE4NB\n", "nJrvR6mY/rPR96alNSlNM0xs4kw3U0Okqqo4Pz8viay9Xq9kwJNr4BBZplb5DgSZeWX9KOjkdXVI\n", "YjqdXY7I3/2sJqPGJshxVEIs6+vrpV8YgRcvXtRq1zA2gAseZKvVKgmw/P/q6qqAtOFwWAo6AVKh\n", "RmGQ8IAMHFB8Xh/mlE2f18+UNF4KSa82FoCu+/tZgSl/Jh+hx6AC4Lyn/L2WrSaWxZ+xF/0hXs2n\n", "au6j80YMvqxHDHT5vA04zwLkXl5eFkOPsWE+7+/vyx1Id3d38erVqzg8PCynHVwyfHd3N7a3t0uh\n", "P1hZTmAgo/QTo2FvG5lGl/k2aTt5TcyZ1y2vXzaufq/D3+fn54UZOTw8LIUqcdYABN77Zmz83dYr\n", "EVGchsxm5TCA58n9zgDbHr4dOPY/p03QL8w7BfMAnuhkKq/iCOS9w76lIu/t7W2cnp5Gv98vx/Od\n", "PE/iq0MkTSDM42FM/I214ydrgP3y/U7YWOweEQCXlcA5dA0Ycu+QK+85y5v77L5nOfP++1B98tEB\n", "iYUs5wwgxKBGBMonEmyo2LBOwIEeQsFHzLw/kNtoNIrRaBQHBwfx5s2buLm5qdGNhHi2t7djfX29\n", "IF5yTqCjTEnxbG8oFFkOV7BBGGteTFpWJP6/KTU2CmOmeuTV1VX0er1iZCm1DUiCmcrCZmNpQGJv\n", "DYbDOSesAc+0N0PfTdta0K3o/TmeT+KYlRkgYjQaxebmZuzs7MTm5mbZmM6iN6VPEiyeBKEZwlok\n", "N9/c3JT48ObmZu16A4flTJNnBcI8ZvCVAYll1kDKVR5d5Anmy4CXeUM2AHKZ6fAa2Yi4b/ZAs+Lh\n", "WZ+7mXWivz6C7T1qZg6FmBlI5A/mtNVqlVAdBjNi5hT5NN/h4WEcHh5GVVUllONL96g7MplMih4Z\n", "j8flosW8zzz/sABNRiAiajrTa5rlMbcso+xLywRHfLvdbhwfH8ebN29KEUWzoAYkZrIN9LxWlitA\n", "D3Pr03GZJczAOoNljzUDFvq0tLRU2yfYj9PT0xiNRrG9vR0RUcL1EVFzKs3YwP4CYHEISGyGHQGQ\n", "7O/vl8q+dkCa2Absgf+WGTSvIUzr0tJSuWaDKylcLt8nKukH9sA21rfW+zSX5z/brhzByKCS3zWB\n", "lqb20QGJqWwak0prosVy5nfeYCgjjkA5LwVgAqg4OzuLs7OzGAwGhWHw/S6mF1E8o9GolHW+vLws\n", "mzB7y6BA98sUIuM1+GgCG56bPFYEw4sPkqdI2Nu3b8tNoycnJ2WcLghEzkum0RB4ewFN1CJjcM0L\n", "I+TpdFoDKXhsOU7ORsJjcs4EfaDfIHmSPH2vixNOic3aC/AJL5QAni7JiNT3IAQI0Nne3i5hlRxa\n", "svLN69XkIVox8x7T7My3mQ8UNWXSHT8GYDmM5PCY++H+ZDDaBIDdXwOvX0LLHjgtK0CHLBzi8met\n", "b7xnOZGHwoahAihyEedwOCynUdAlJAsikxitq6urcqovnwBzzN+sBX10blCTEci6JcsezWubDQ17\n", "FD1yfX1dElhPTk5KlW2+18DYuiOfJkRP4JgYGHuc3qOsBcDB/c/gB7YiO7DMK2vBaRr0B5VWARTO\n", "nfN88vkMtlgXmC+eRcHCpaWl2NraiufPn8dXX30Vm5ubtaPl3o9eE89JXjN+Nq0bjIdfZnKRQxw3\n", "sytmqSJmpR5IMch6pEneHtN3Hm/WN4+1jw5IiNfj/Vp4DDSy54lioPlvPAeKiu/BoySPhLBLr9eL\n", "k5OTmEwmtcxw3kcoiXh6p9OJTqdTPBqEO3s13iQ2MCgW0+J+L/+n2XPOPw0SbGg5wrq8vBw3Nzel\n", "RsDR0VGcnp4WBoiNbuElDokgAf4QeL7HBo5+ZgM3nc4S8zINDLCIqN/lgHH1cTMKm0XMbkc1AIIB\n", "gR0CgNEfjI4Nyvz8fPG+fAyRz/qklY99k8RoShODZcVrxfo+r5Q1z7S0n4FSAXQwHu57WlpaKmuF\n", "LBq8ADIdQ85AF3m0503/eb8Vr+nvXwJDYplknrJxpXmMPnHB+wym+R2hPuabF4Z6PB5Hp9OJ09PT\n", "ImsU2CI/AOaQMJprlFAF1LlnhDPtCDiHI2LGiFj38YyIOpi0o+Hx8j4bPbORgAcYSEoFjMfjkuTr\n", "5HwfCfa+MGhkTIwzh0DcFztJfI9vR/f7fbrKexFAQugVxtrJqjBg6HwcUIeGzJJYt2VHFIeBMN50\n", "Oi0HB54/fx5ff/11fP3116W2iWXPzEfTXOSWQYnDIWaCYVOZJ+aG0BQyjh4xAPE+Yp2b5Me5LuxF\n", "2zr65c83ORJN7ZMAEnc8eyyZJmaxEDTHBZ3o44UBzaIYoOioFQDbYcCCN8N3gyLv7+/LUVnig+6T\n", "2R5vilw/pIlGzQjYc+CWFayfgeBRAG1hYSFGo1GhWDudTgyHwxKKQhidrJfnLgsOf7eSa2IDGBPP\n", "dcglAzGfoAFwRswq9TrJDzDB2AGbKBuSt1AkABjAGgqr1WoVShVvy+DTd4gsLy+XGjQkMVbVrCy5\n", "AUk2BE0KJHvjNvCZjWAOnaDJGhAPpp8YA56Vw0iAT29+g2X2FAya19kKx3L+IYrkU7T5+fnaGJtk\n", "N+8ls63WIxkUMgfz8/MlCZKkeRLpKYTW7/dresSXyMEGIHO9Xi86nU5hWCKidtUC8mB2F0Nv5Z9z\n", "NvJJCOse/u95ecwrtyGhv4eHh/HmzZs4Pj6O+/v7clGhy4yjhzLLERGN43KY0GDQ88/vcSQIcbjv\n", "9Jff8XyvLaFbgDtgCaAJsOCECsnt9Im1tKNGSIPrCabTWZIyDOv8/LuKqs+ePYuvvvoqvvzyy3j+\n", "/HktBPjYWjTpkmwHGLdl2DbIoIv+MKdOczD7jH1ljE1h2ywv1uV5L2V7x757jLnL7ZMURjO97w7a\n", "I+P39vAiHhbnMp0H1Tk/P18qI5IICBUPKs9eByCJhWm1WuW+mouLi5Ix7mKPqcsAACAASURBVCQ3\n", "6Ft7n1VV1UInLHyT0rDC9GJnpeGfDmFxjCwXZ4IdIcGXZF0MM31G0XlD5z5kz9sgMlPfXlcMJXPk\n", "/AbmJRc68/joI5Q2J2lQLBEzYDY3N1eUCKW7AbxWPgsLC6WGgg01F2BBoy4sLNQuP/MNvyghH9Vs\n", "YjlsEFDIma0wC5GVM2uF3GUZMChkrvlsLrJl4Ee/kB/2Was1y6FgjQ0mzZRkgPO5WtYl9hRpVpp+\n", "X5btHMdHga+srMTOzk7s7e0VQALD4TpEmalwaKDVapUk1MvLy1qiNcmqdoas7Cm9bsYA428mNmIm\n", "O48xJI/JEH3GMF1fX0ev14vBYBBv3ryJw8PDokvy+JBVAFJ2tmxwrCctX8h+kwFkHTCe5EWg91kD\n", "QJ9r89gp5LPsF/TIyspKDfz4SgZYrczO4gAYuKDTOO1CqIRieCSzwsIzTjNFXqO85zLwoOFoY/ss\n", "A4yR48jMWxNTYUcygxYDYTd0q+eZPmT9a6BrFrOJwavt8ff+9V+goQTZYDnxiMETWnACJAPFQ/XL\n", "9BkJRLu7u0VAEVwngDpkwmI7GRZAQjwwImo0GMomKzlCJ61Wq3jeKCsbfJ99Z04sJI+9EDbOx6+u\n", "rsbd3V30+/3odrvlinWMOccTLRhstCY2xP1g0xsQ+Pivizp5DfEm+D3PsaeNkOcNBJInLwivhWQs\n", "5tL1X/BU8XLOz89rShcAibLBICBnvIfk2fX19QJIUP6AEQMS+t6UQ8O8Mg8ojQyyc6jBSp65I1Tm\n", "PZPnGtnKxxfpk9eXOYyIojxy+MNrw3dlAPY5G7IY8XBe+LvDUijeiLpRzqEuryGAZH9/vwCHi4uL\n", "mjHMoRUbbEJryA6AxF4sDkw24nz/8vJy8cDRb2b9bKwec2wMRqyreIYTGwlrHx0dxZs3b+LNmzfF\n", "mcghpLwXMyDJzYDE7Cfjsy5hH7AH+Gyudkq+GWFOwtc2lACW29vbcgoFRwO9zFg4HeO7hegT8zSd\n", "1m/WNbgiBWBlZSWePXsWz58/j/39/XJSj/Gwr7FxXjdaNvQZtOVEaBp98SWI1s/5u+y4mShAx1mn\n", "8Qw7xsyRSQL+noGzv/en9MhHByQYGIdeHvMyQaRGV1ZCEfV8C4SA0xbLy8uFioNe5cIrlBPGlfPh\n", "CHSOcyKsvrQJQxVRP9ZEv5o827xJrXwyTeb3WijYcBzdmkwmJbP79PS0GGMfAwOZI6j0zUa1yfM1\n", "Vcy43rdutPz7TP1b2HOmPhveihb2I1O9rInj2cwlR/XY8Cgmb24rGfqA5+SCeGZH8nPzZue5fJcZ\n", "CubD82ijaM+QteazKCCXi8/Kq8lDtgdob4dn+vuysjLdjtIyqPqczfH7DEgekz8bfVgT1ozPkYi4\n", "tLQUe3t7sb29XSo1E94bDofldBYy7PLh29vbZY/CsgISMRQAHN+Gm9kOr1MGlaxTBlHZq25qvA8H\n", "jDDH+fl5OZl3cnJS7gMz42lmNYMij8H9y+DR8ohM8dNjQldZR6CfWW/vacCFQ+cG3+gdTuzQZ/a8\n", "jT/PB/DAFljPmR0D6OAkrq6uFmYEXW0wQl+cekDzHvSpqwxc3D9HDuibbRS/s7NJOCvvE4Nsf97r\n", "aZYrO2PZfjkU5M98dkByeXlZY0W8cdw5QIhPR0REoQlJjoqYnVYwKt3c3Czl4Ynbnp2dRa/XK0LA\n", "87lEaXd3tywIzAaeNMqDyox5Uq0IEdyIGZq38FugeF8GJAYqvBdPxAV2ME6DwSA6nU6cnJwURQNd\n", "5wJOETPUjdeTw0kWLisG506YXWhC3hlwWvH4FAHzy+bBS6NRcwFg6SRAy8Ty8nJERLn5NyIKMMtH\n", "YQ14YJAAo8wxVRTtCREfNqj22JEHez94Cnwf88AcWBYjZgACOczsDMAM2cwGqKkvliW+P3tIBp7u\n", "Cx4Ye4BE0l8CQwIosy5p0i3IvVkf//RnJpN3oUyO637xxRextbUVi4uLMRqNYjgclvttMNbIlO9F\n", "2t/fL87NeDwu9D9gxLfLmj21RxwRtX2anZuIeLBHkR3PgY0YLTM0VVWVEyInJydxeHhYrpdwWIkx\n", "ZZljr6NHMgiOmBk87w0assc8+DPObfPRePaP9YgdHMbGupuRgEk1OM01fng/Cczs3+ws8+IGaIrg\n", "cefR+vp6cW6a0g0yS27njz3I/GYWDfmwk2TmznuaPuNU8bnMmGZAZ8Bp8PvYWtvO4HzhxLAWH+rY\n", "fBKGhM76J8ozI2wGa8WJZ+M4ecQ7QMKJiOXl5Wi323F1dRWdTqcczbu4uKgpKqp/QtEjICh8Kxy8\n", "Gd8s7LieBYjmv3lR8xjtZWfPh5ev1Sa8wIVevV6veG2cGILudfn0TPcRprJgZUDChjO13eSd8zN7\n", "ATwPQ5wRfkTUNgAbie93aA6lZ++HdayqqoBUew9OUDONj/xQMwKgieJDgfAMKOUmhigrifx7e+is\n", "PR4SzX/nhRFAQZJYjYEz5Z09To/RLQMnfucYsVkcHx3OHuLnbJ47msE2/4+IB/JtWcgghsKIz58/\n", "j52dnVhdXY12u12uqWCfkZOAMaNezc7OTuzs7ETEbM4cUrEu4dilnQGzWtYnrHFmPmyk8tpkT9WG\n", "yYmat7e3MRqN4vT0tNwGPhqNan0FpBu0Zl3gcWSv2WA862/rP7Op1tXsS1/1kEM8TcwI4SRfjmfH\n", "KjMCfA97n2J39I1xeA7b7XZsbW3VGDVe+UZy+m65s6xYjv3yGvJ+h6xysUbvZ8IxzsmbTGY5epYj\n", "g1XLj9fUa21mMrMplhHsO+97jL1z++iAJGJ25NPeNB6gjTOIz4tOy3fKICQIH2GMwWAQx8fHMRqN\n", "SryPyaF8uC/JIrzD3RTcxJpDFrScy2JFyORb6fn/RpAWOgAX70f4YTvYLIzt5OQkhsNhXF9fl02w\n", "urpaPFq3yWRSOy6bwZLzCHJsnPL6KGFTt020Yt5wfiYbBqPq3BYrFzaFAZHXAbnAQ/I8UyTOICgz\n", "bq1Wq9yG7Lg8a8tmR874DCAgj82KlfGhDJwbYy+JPqP8rfAxBKwZ1RYJFdAHr4cVeo45s5bO6bFn\n", "ikzQ7AkyJzzzc7fpdEbl09AlmXXCAOE55/wSdAOJ4tDusAckS5+cnJQ1QI7m5+djdXW11Kvhc7Cs\n", "4/G45I5YvhhDxIwJyKEnM4zWf9lYeaw20NYldi4c+jg/P4/hcFjyRUajUdze3tZAU5Oj4GPKEfUc\n", "o6zvrEsYK7rdzkSr1SrPzcyiDWUTE4Zd4Ts8twAv9gW/p7l/NNghxsxBBRiUfLqRCxTX19eLI8h+\n", "bmLvWA/LQ9YjBnVmPWBpfTkjr4h4MBb+z56/vLyMiFlSrJki9gfjtmNpRgx5NXtD3+m/9SwyhMOQ\n", "ndqm9skACUmfEbOjno7RYTg5VuaCNwgvVD4DR/EjdDc3N9Hv9+P4+LhktrMoEfEAkMzNzZXPQMmS\n", "uW3aygJNHA5kaoNs7xg0y+eMhL2oGEwbEhgALoWqqiqGw2Epdf7y5cuS9OlXrt0SMQMk+b4avgsD\n", "zAaNmAlzpv5Q1giq44QIckbPKKcsD96EWZGxtk56MzDMgCTi3Ybhud5I2SBBoeekvJww503b5Ik2\n", "GRqDIJQ6idI5qQ3Q5Oq5VVXF4uJibG5uFsMB+0EM3CA2Jzv6e1AYPpVGLhU5UXYQaMy/mYdfCiCJ\n", "mNUbou85BJaBNnJOwiPyAbglJJoBCdcUUGSQ74bFWl1dLSXiCf9xtw31i1xqPcuP59eKmv5FRE03\n", "mkVhnPwNp4g9yzORCxtTavAcHR3Fjz/+GC9evCgGFzCCrvbLTiM6KusCJ8K6P4COrEf8XOvSzJAY\n", "9Nig8azHjLyZKjO3zDOhYvqCnmQuzHx7flyunVt/YbLpt+fEY822wP+3/FoeWFPAhBlc624DEhJt\n", "7agzD2aQcX6tI3munSdsFJ8HELKvMiD0eJHzzPw0tY8OSKyEI6K2CTPK5wU7MJ1Oa/Ui7u/va8Vt\n", "dnZ2Yn19PVqtVlEEZEmzkdgg0+m7+ybW1tZqBdEuLy9jMBjEaDSqhZcyTeZNYY/UBtifNTDx5/J7\n", "7c0gVD61wy27VJsdDofRarVKEp5rrzTFxw3esoJh7mGcPG57XRFR4o+uy5G9MNbWAsk4Dc7MfhFm\n", "QdDdP7MrrKkVCkY1F5fieyLqx73plz9r1sJKkefw3AxKbLi9nvSTZ5G57zgu32F2w0yOk9ZyMxuV\n", "qf3MAvCTZzGPmUmxXGRGsIlC/lzNQCOirktyiIaxkbAaMUuwRyZWVlZKIby9vb1YX1+PqqpKQjy6\n", "xMCcPC3uvuKSyslkUiu4B0hiXTJgyoY9G0zLR5Y/gxKvi/WUWYpW6919OqPRqBRPhGVlPzo8TYja\n", "z84MjI2+18d9d5/RQfSzqmYsK3/PMogusTMBQGFdcFx5Lo4oR3KtD/Kz3H8bdYNEMwk4Mvx0LRpY\n", "Ozui/jwtr2XWx3zGwJowEjk/nB6yTrVuYyxmRR/rh+0P/WGe0R/IghOD/VnrZzu9/xyd8UkACeyG\n", "kXAGJN6QXOHtq68RgsXFxdjb24vd3d1ymdXFxUX0+/3odDpxdXVVKDwr/na7Xe6uIRGSK+f7/X4p\n", "0d3kFTg/wjSVFYDRoVGvwUHELOZmsIKSJKudpMvLy8sYDoflSN7x8XHNqwOQAEoiohZjtTdtJWGj\n", "lWnCzO7QXxcWy7Qtng9/t3dm8Jbnx3OLDOAB41laAXleW61WLaO8KZkzK0XG6ufakzYDkz1TP8dg\n", "Kf+eNYeGRomYUctyhrcGlX11dVW75bdJkfAdfB/jtkfJ/L59+7b2+eyx8DmOdWdF80sAIxEz54Y+\n", "ZjYo4qGHCZtBVc2Li4sS3lxfX48vvviiJLKur6+X+5K63W7xPnk2IcH19fXY3t6Ora2tWFlZKSzs\n", "1dVVOdWX1zk7XxEzsEx/M6NqFs4eaHZubBwIRWFUMCycpnnz5k28fv06ut1u8XIzGKEIYfZqvc/d\n", "R+adn+wP9njEzOBHzHKBmpLmM7tg2YQRyTrL+hh5b7VaD04b2hkCqPE3M/J5HXIomxfOMQAugxjm\n", "7LHWtM5mvtjjFOXjGhPyR7LeZhyEvV38Lespfye6Mzt1rB9y5e+0bfRzWSfLT9a/72sfHZAgKPkW\n", "2Ij6kSQmAsFgw1END1ppeXm5JKRSbZWaFKenpyVWlpU9J2a4DhwKm1oBXGaWQ0VG69C8/jtjbEKg\n", "GZRE1Kl9e3QO02BULi8vS50RQkobGxslcYpMeGdG8x3++Zin5b4asFg5ZibD4YZsWLORdWjFgthk\n", "7FjnVqtV7idizbPBx4iiYHKYyJ6QDbMZLf4P/ZmZLs9n0xp7Dg0AMPYwIoQZzVB4ri1fvPCIMGz0\n", "x5/FY3G/LHNWapmRYQ0sj+5Tbn7u52wGYjYAyIMVng2cZZoTROgRmA6OfVMgrNfrPbjDhc/s7OyU\n", "kxUkXGI4KEZlw2VQk5Uyc252Lu9Vjy07QJnFgF7PSdrdbrdclEepAId6cfjMpBoEua82tj+lS/zZ\n", "7HVnRsWghX57f6MPzAJnRxDA6nwL9CSJpnlu877OjmwTu9wENM0s+v22cXlOzWTa+GMzubvLp/08\n", "b5YtfxZGG9vWtI70DeDnMfN87zMDG+vix9Y+j7VJt+T20QEJcTqQlA15RP1KcDbRZDKJXq9XzvJD\n", "k2KMoUiZdN8xYS8BNoGN57AGi0Vs06xDnnCYEPc5YiYQpsrz320g3PKm5vQPmdHn5+dxfHwcR0dH\n", "Jf63urpaKoq6n4zHoMFC4RyODKLyxnIDIGahsvBmwctAxaArG23mvd1u1woTsbEp4+6j33ze4AHF\n", "7z6wUY3U2axXV1dlkzkfyHKDHDaFs7Kxd/4JipRnAjRzSIjnA1guLi5KGJHPo4Dy+rVas8Qzz2EG\n", "H3jJ/qzXxx43c5Tpaub3Q5TJx27IogFxxMPiX4AA5oSkzYh4ACqI+7OH0CUcgb27uyt5Axzr5GoB\n", "n6QAiFTV7FRNTgzNhsnNxi+HA73HHgMjvM96j/H0+/04ODiIV69elXtXzMRah7EnnHeR9UP+dwa7\n", "GbziOFiOccI8F/QhYpYjZUPtUER+AcJgBrhAMyIKo0VIzgDQHn673S7suWXfjLv3DHelGSB7PQF4\n", "3k+Mww4Jn8fpZe/7pN9kMqu0TbK0ZYHPclAE2whIzgw1c+nohA8M2Jm17OU1d+NZ2cHLTM772icB\n", "JEywFQUddWgAFMsFT9zG6KO6UKQsYMS7+hPUHTG1h1BQdwRAQqwRKh0lQm6KN2NeCPrN/zMzYAo5\n", "A5sm74gXY5ybm4vz8/M4Ozsr139fXl6Wy/Jgh3zxG8o0J5UaPb/P880K0F6nabvswTWBmTwnNLMU\n", "mYGBhoURGg6HRSk6wc5KwcrdR2E99na7Xe7x4W93d7N7RgxS2NBOQvTzPBYUWlYeLqLG59bW1krN\n", "FAwczd+bXw4V8Z02ZihEAIeN809t/gwiDWSzwWsCNp+rcUqE4k5N8mm2cWFhoYQ9MQQ4NhgojuEy\n", "n+PxOLrdbnQ6nVqeAaEf6hetrq7GwsJCkQGAdKv1LlcCtjWizop6DTODYAfH65mNgg0GzXKCcSaZ\n", "8fXr1/Hq1at4+fJlTKfTomucNO9n51wB96/J8+Xv1jVNY7N+zDoye+cZkGAwLasYcoA/tub29rac\n", "dLq8vIy9vb3i1NoZMBiJmN0x5H1jZwfnBn0Ck2mgxZoB7qwrDCJY48yIACJyvh4hNSexG1S5b05+\n", "NVjKtgrwwXgA0DlklXVQBiYetxkcy71l+33tk+SQtNvtkuNAp70BHMPCYOA5VlVVu1aZzfT06dNS\n", "tOjo6Kggf7xbBNBZ0PZAQdBWbhHxwABlQ5iNdlPLf2tCzwZOFPPBU+50OnF8fFzyWhgH2fwR9eOY\n", "2UNE+Px9VVXV2JOsyPNRWXvcGQBkhYoAOx8js2EoDheOowEqVldXIyLKrZTb29u1BGRo8byxYbYs\n", "SyjliPptxmxkZJDxQQfzbOaWzzEGZIT+4JGjQHkuc0x+D4qeBNNc4OmxdYSqRlacD5TDigZ79sgM\n", "JC07lo8mcJnH+7kbSp2CVpnRsbwC0FHMZkupqMpPnKDhcFjCGXjdOCowkzhFsLQ4NrC5Zku9RzLz\n", "kcFm/reNPmtp+ciGzUb/7u5diYCzs7NyN814PI6qmlWYJXTN87Mua/od32Nm0L/jM2ZoMaA8k0Zf\n", "s3GzMWPczmmwvuLvDo3hgOLM3N7ePqicitMAm8D3o0cAPhHxIGxsvcqe9prZlmDL7OBlm2cwwfPR\n", "Q+j66XRawNJ0Oi2Oj0GL2SPYFDs81vs+neR59h5ifPy7SR9mxjeDl8xg2gY+1j4JIIHydEEXKzuU\n", "IwCE+DlJjiwGR6+oeHh4eBivXr0qxtuG0IBkaWmpeELE9zmLz2Jaub+P+aA1gZGsLLISodE/n5KB\n", "/iM5l5s2ye42IGHT2wjx/U0AwmCLRD3Hc80GRcwAyWMe2WPMhxOfslI2nWdgw3dwJJvwRlVV5Xw/\n", "9KPLp/MT5QGyN20eMfMYrbCJx3qt7ZEZsDQZaOQaefVlaaxvrh6J3BETdgVjN3vDKBs/y/Fsy6w9\n", "E6+pn4tCNLCzR25PNYOiD1EmH7vBYJkp8dHEDOb4O46KKxnDhnIT6/n5ebx69SpOT0/LKRmUN6zK\n", "xsZGYbxQ/gASO0QOcTHvPu1Fy6xlE3OSW9P+dlGwVqsVvV6vlD8AkGCQ0DsAEvbAY4Ckif1kzwPA\n", "bMz4GyAQfdwkQzZe/t7MdjkfiO+leS9gzFlTGnaA3MGmnLGId2xmRP0SR24Mblo/OxY53IQDaMDi\n", "fcW4YTOwdehejkZ7bZE5ch85gYp98p438GHMrIUBnPtjZ4aX2WVAlQEJKQ8OdXu8ltkP0SMfHZC8\n", "j0mggRSZQJAf1CunY3wTK3kW3W63dpcLihsmBUCCsfFCcqwvxwkz0svj8c/3KZAm1gLlBAUHSGIs\n", "nU6nFD1zjQSUqDd/RP20Ds1GJBt/kHlWflkRWJgAjNnD4XeZKclzxb8NGDJYg+Ym1Abz4SQ2Nr+f\n", "xVyiHFw4D2/ad9RkwIFCzfFp9x2wYiaD72EsPt1ib6FJoTt+a9DoWD7g8fr6ujE5Mis4+pt/x/u8\n", "xyw7BirMW5aj9xnIT9kyuH9MtzSBbBi4ra2twnRwqolcC+sSn2Yjd4scNjxX8tCurq4e3A6e1ynP\n", "dW55T2ZWjn97TSy3rdasjkan04mjo6M4PDwsF8cByFz5GYMU8TDvo2mODS7oS2ZosjecGdL8bH42\n", "MUIZbHiuPLf0y+DI+Tsw661WqzjE3gv0Gdth1oJEe99BRGtiSdEzOI3Od/LJHuYIR/Tu7q52Isjj\n", "dLP+cJHArOv5LDaPk3YGC57jzK5aTrNjm3VOZoawdT+1T5vaRwckGFyX44UqjKjTQi5+dn9//6AA\n", "0dbWVrTb7UKRYrgjogAVjJo9IJcSvri4KFdOw0BkJRLxMMyS0Z03sgXAiw3AMb2JYoC14b4M7t8Z\n", "jUYxmUxKWMr1RvC0ERoE0wtuj7HJKGXjR0gtNxv9DDQYJz89/jx2fm9qPc8pAux8CCta+sOYUb4G\n", "Dnwfp3Vg2ci7cTzf12w/RqVbGWDMCMng1dizsEdkNg3lj4JCgaEIGK+LEwFWSHD2nDcBZK+xvRQM\n", "JJ4hYQwUrBWaC+Tx+QxcPnfDo7Qcodyt5G1Q6Dvl4Z89e1b0CbqEgmYuzz83N1dCOmv/X3vvGqLZ\n", "lt73/fdbVd11v3X3aXmSmTnGIyNFSkIkQ+wgMAkKOBD80XFAQZjYnwyxQ0gsBfI5RGDiQMiHJCYk\n", "hgQ7jhEWBCVKojAIg8Znxkcz5/Q507fq6q6uW9e93rpfdj5U/3f99r/WW31GM93VnXkXFFX1vnuv\n", "y7Oey/951rPWmpxsQIwjC452+Uh5Gx4vUeRcJUj0eFI+S/qE71P2CUiOj4/16tUrra2taXFxUYuL\n", "i9rZ2dHR0VFrydt6h4as106gBHUlcGX+cl3mr+w3lyV6zS1/WybIe6ljbfRK/eLha5n0ziVN2yfm\n", "btkOcWnEjrGvKMmoj+vjcpWXyD2fXimgHuGOPM8n58DF89fpdFrnQFneKQ92ri3DfrcEwnrxJ3mB\n", "gIMRHUekuL2cURPqIc7bdeWdbPv1IBgu8nc02A5Hkdg+onlmZkYzMzPNXv/V1dVG4CQ1CtYesU+q\n", "Y1Kkc0cMSGwwuUQhtb0SC1EJ9VOB+P8S0dPoOjri46ZfvnyplZUVra2t6fDwsBmroyI2al639hZq\n", "h/OoQNheGmwKO71xeuv8sSLJ5K9SffTYyIhE3hRe0pTzkMrOhdEH08E7J9wfhye9U2JjY0P37t1r\n", "vA/Xa15z/amIs00bp+Hh4UZBZcSlri/3/VvBeB3byXSlMLRpZr6l8jw+Pm6UV+YLJX9JbWXk/nuJ\n", "g0aal6YxMZNgifP9vgAS6TL/hfzrwuUH84dpOjo6qpmZGd2/f7/RJ0549T0uPivJeRa8yXVqaqrZ\n", "5ktdQkBieUxAQW+VRtTfS+1olUtGSShPuZRhQPLkyZMmOnJ2dtY4NDxnhJcmWr+RltQlLnTA+EOe\n", "K0VFWJ+XOJOXCMxoADMHjc8nrdifUrSJkQuPLcfLaLAv2PON8SMjI7pz545mZmZaeSUJDqmTLFPs\n", "twGN23OExEsvjrRm/kcefmldSB1ZVVUj04x8+DMmuloHcn7dJ64YeD64i8l94r1bzm/xoW3Ub+4b\n", "57NXeScRkow20BARiHipxolJ3pZHA+cMaoci6TF5ghxd8ISY8L6YzmFZE43o0oJlBOhnUkBJWBoR\n", "K0IKnhOIvIRkI+Ck3M3NTZ2cnLSusZ6cnGwllxppm5lSgAkISh4PvUrXx4gVE5T8PRFzMpjrTZrk\n", "DxndSWekG70f8or5wmFWhkE9F1as/s3xmhe8fMdESNKDOS+dTqfJL3KIs67rZi//8PBwozzW19e1\n", "vr4uSa3EMkY5nD/F7apeWnTYv2RE/Ry9KCYLS5cJxAR6HrPrMR1ybZteld+3t5N8Q/6+6dIrQsRI\n", "W4JoJ6T60jwDFEkNeN3a2mp0CY3dyMiIpqenm/ukDHrPz8+bAxV58JT7Q70h6You4XjSuDPqSV73\n", "2G1snJt0cnLSOGj+8Tk+HoOjOpxzj4UGRmrviDGd0slgKUVtGLXLKAtBQ85jaa4J5vyccywY9TAY\n", "7KX3LBPsDx0hL8kYqPn5jMYlUPL8Ut4MWJ0a4PGMjY01OyYdYdvZ2dHm5maz/OdoDHVa0sx9N0ig\n", "s0OdS0BjfWr94v+tR7iMRV3s52jPzEumN9s3qEpe93ulaHzrmWu//QkUg4I0ZFS0PFTo6OiolURm\n", "YOFiJbK5udlktrt+K04CEoapqESM7ihARJVWBGb0LAkCiFwZsjKzW7nNzMw0OSNbW1sNIOl0Oo1H\n", "xpNXXWcaKXof9FKcUJnCTFCYgCSZhEqdgITeXwp7huVSeGj02G/PLWmfy0RcnrGSME15dHOuiXt5\n", "zNEHhisZnmUoeWdnRxsbG+p2u81nRv23b9/W7u5uw0dbW1uNV3R6etrwrJUlkzAJsJybQKVnupv3\n", "2NdS9IJKhB4flyz8vOeXHrXpTkNkI+bv3P77BEj8m0aO4yX9pIsdW16isTNgJer7ara2tlq7ZKwL\n", "LLM+rNBtnZ2dNc4NjzNIbzB1ifWEZYLGhtGGwcHBlry7Xn9HkL2+vq6trS2trKxoZWVFq6urTV4V\n", "eZ/6Nx0O95HtuJ/Ui9LVnBICHMoweboESKjTMzJLGmZxfwzyGcXkPFhGKEuWF/eLOslRJDpnfJ86\n", "kODMP3ZK/P/h4WGjIzye8fFxHRwcaGpqqkk72NnZac7JcbrC7Oxs6+iKUuTTdPDcuq8EwbSxCT6o\n", "J3jgJXVGOoamrYGgdW7aUAIpfudxXFfeSVJrr8896TQKFiZHCpyQenp62igP7zH3jg0aH++td9LW\n", "+fl5A3T8jr11e6kuvYwpvRQCAX/m/2l8TXxn9jOxdn9/v/FmNjc3YXq05AAAIABJREFUdXx83OSJ\n", "TE1NtZZiqOS4NFKib4aJ06sxnYx+6c2lx0KQwfHl/1Rq6R1lRCW9Hv8m+KCg+H0KhgXCSpmXK0rt\n", "C/osHFbeTvrz3NO7szJLIcvx8odhV9/D46Uh8jYNJeeMdbjwHSpWemCmCfnC9RFIUsbMk6ZR8hDn\n", "sMQL7ONNlZIu4Xywn55H53946+fw8LDOzs4aQ8Cj/el9O1ppQMJlNJ/u7MMIuYYuXc1xyH5KahlO\n", "v1PSJZQle8Q2mj4i4Pnz51pYWGiuzvA4eWsvnSfKfDqL1B3ufyn8nsudlHfPQ/JRjq8XD/JZ0sX1\n", "l4AK278ukss2LO8Gbrn8QbrRuSyBppwrRhhc6Hxz+cSJts5/83Kyc8h43grHQ51I8NTpXOZ6JFCn\n", "LqHTQ5rTYSWgJLAmL7EkqEyb+SY98tYBSWnAnjgibAu2Ixw8K2B4eFh7e3va2NhoMuHpWXrN14eH\n", "ebnDoTPnnThpjUzIiAP75b4ZVZeYzIyfqNsC6y3KHgfDq8+ePdPS0lIDxLwriAezkbm5rmehZ7iX\n", "y0r0asgQXBdMRccxZ1iZc5QeNH9Yp9+18nMfbBgpyHyfHq77RkTPGze588W7HJgcaqDhfB3Ps8EH\n", "IxTcCul6TCdv93Tkw1uTaZDsrUxMTOjs7EzdbvfKGQQcj5WFl6PcnpNP6fWZH1KRM3/In3NLvYGR\n", "lxBTWacCOjk5uXI/UIKpmywlUOxC/nVODqOSzgHxspu31+/u7rZ2THnbqKNdvBn87OxM+/v7za3g\n", "5uU80tz9oUGXLqNRXCo2z/v/jE76ebfhdhypm5ub0+PHj7WystJsJSfPm06WOYMnRm+4XMTITglg\n", "SVevlk/Hxu8nrxFI8/uUfz+fOo4RJvI4aZkA0OPwM67XTk3unqFD6fwIG19HZfPsD9uA09PTJsnT\n", "W9OdQ1LXdROF8fKxdbZzl0wPRrics0b9ykR185Z52DQi0EnHJsFG6nvyqvtpG5A2h/PLqDPfK4Ga\n", "XuWdbftNtFzy4DyZvEXRzOJdKD5SnssJBiQ26Ewi9Frd1tZWk8lMD9sJaancKLA2Ohk5sQIkwd0n\n", "HkVvRjw4ONDm5qaWlpa0sLCg5eXlZomGyw/uswXfDEgjSW+WkRN/V0oIY26DDRdRfs5VgkbXQYTO\n", "sVO5sE8M5bJN12vmT/BDL4WKIu/wscH298yFcITEp3Z6GYXnnRiQTE1NaWBgoInOuE3zFROn7c34\n", "tFSGfh258yFo9nhs7A1E/JugnYAkaZr0oyLxd5lz4HmisWHhM47ycNdEL2/3JkopQlIqAwMDTe6I\n", "QYUPSLx161YDRqxLuBzmO6/o3BjAOsrqZHorcxqgdGoYJbE+odG3AeYznkfXb94xCLBjs7S0pPn5\n", "eT19+lRbW1uts2ocHWG0jXrEcpNRhRJoTeNjcCBd5jL5c4/L/2c91F3+nLxNOnhO+L4dCY5pYGCg\n", "tXSZJcdguhpgmGZc+rMeIc28zO+oKNu3EbYOuHXrViu5/fz8vHWnjt89PT1tAUlG+70sZWBhvcTI\n", "cDrO7I/zm8xvuZuIgQLS2XxKfiCPEnz2cm74zFeJjLi8EZBUVfWbkn5N0rmkH0j6K5LGJP19Sd+U\n", "9EzSX6rreus6ZmCH3Gkek2sGmZycbLKJLZheX9vb22t21fAoa4YySXwbjTwIy0zG5xOJE3B4Eqhc\n", "GF2gonS9zoNxiG9nZ0fLy8taXFzUxsZGy/P2OSuO6GTInaAtlzfcFwKF9BQIXiwEzMuwcmLYOtcL\n", "iaZzPins7qv7lYyf3hbBUo7BqJtGmN5lChhzTxyt8DoswU8mC7I/5A/zzsjISPO8jbXvNeE5IVS4\n", "BFr0PqVL74ORD4Jf/88oYHrV/MlktDQgHlfyBg0LFU+C3YxM/HHLj6tLSoVOjfs4NDTUHBfArbpW\n", "3NQljkSZvxiBY1I5D7Xj9mnObcoIlxZMf+obghfyoJ+3DNpwOqF/fX1dz54909zcnF69etVEDu3U\n", "eJs5oyymVX5e4gs+z/5kNES6PGyRCerma+qRjGS4zuRRyiF1ndtPejFKwQiO+586yACSh5C5z7mb\n", "TVIDUJ1HlNECOl/UT4xqeYnGPMqlU0fEk+dM23QeOTbmrJR0B8fEiJNtAOlLfUoac7kuwSrnMefm\n", "Ov65rlwLSKqq+ljSX5P083VdH1VV9fcl/WVJvyDp9+q6/q2qqv6WpN94/XOlMPxHtOSQEnfW3L59\n", "u3XhFYXnOkBi5mJS09nZWePRGJBQmPInlTk9c4+DY6GRLCF2h307nY52d3e1u7urlZUVzc3NNWcD\n", "OJw8MzPTeM8MqXlSif4pwIyG5Gf5vnSZrGYlwrM4HM4jA9Gj4DIK59IC5q24FgIqG0Zd0iNjW1Qo\n", "JWNLZS61z1yhQEmXlzryACgL99DQUNE7dNukEw0Q++Bj7n2eDefGdKBSTt7kcojbpVEjEGVSKZcX\n", "U/kwmYwGgnyRALHk9aSXz3f+uOUnoUvSgLlklO3WrVuanJxsLsEjDxiQdLvdFiChZ0pPdnBwsNFT\n", "3NJN+ff8MIqXIJf8ReNMIMn552eOtjqhf2VlRc+ePdOXX37Z6Ecf4OYTSUuARGrviknj4p+S8SAf\n", "pANi3ZrGneOlY5p9Sn1KGSF/0gEjfTx/JR1p55T9SXtRcm7cH143wK2+6UBkFIb8ZDCSO3E4jpGR\n", "kStGn05U6kjLfUkfEHDQuc3303G0fqSjnonC5BX/XdLlqUfyvV7lTRGSHUknkkarqjqTNCppUdJv\n", "Svrzr5/5HyX9v+qhRGjk6I37auW6rptcCyd/eumi0+k0IWyvyXOPs+u0Z8M93oeHh82BRw6vmVC5\n", "RdSM7gnKEHkSs2RQ/ZmRriMje3t7Wl1d1fLysjY3N5sQGpMyeZgSQ7YGODTQuTzk/uaumGQQqQ0G\n", "2J4Fi/RgDguBmZWG6zP9qWANXPhZemoGBAQrLimMfpZRLY+7RBcrHfchvQUqEisx82Iefc/603h4\n", "PZ+Jq0xCo7HKJTQqf3/GrXemL8ftz9iP5E8CiTQs9O5YR4m/ewHKH6P8xHQJx2y6n52dNVtcfRor\n", "l2sYxrYu8Xk+VKDM5TLI9kmuvIzT73DXRRorAr5efF6KZqXjdH5+rr29Pb169Urz8/N6/vx5c2YR\n", "+SPlIw1AtkWZJj3pEJEXzD+pR1JWkqYlY8i6+T350bKZcl5yypL3+R3/ttz6x0CSdRNQSJe3nktX\n", "7xDL5SbzqNvlFtgEIXSUSKuqujxgjboogW6Oz+2mHsm5Sl1cqidtCEvqjF76Iev4KnrkWkBS1/VG\n", "VVV/W9JzSQeS/o+6rn+vqqr7dV2vvH5sRdL9XnUcHh62wj6eAB8Iw4OH7M04EfT4+Lg5Ut3rtvRU\n", "LTwDAwPNO04a9KFHu7u7rfU5eo+JdCW1ECWJnQaUwmSCDw0NNWeNVFWlw8NDra2taX5+XvPz85LU\n", "ZHPzZkkbcBf3iYxIhrcBNF0Z9k+FQcYgMHE+ipmfz9ljMAMnk1GxkNlNR/fdc02gRE+GY04lYgDB\n", "UwHTG+0lSB6f++A8Id5hYT6ygjHPuB8p/ARaqaQZsfF15JIahZcAOsED6yetvBTJsHTyZvYJstvi\n", "bUYCOZasjzT8UTybN5WfhC7x0i7BLoHr8PCw7t69q/v372t2drZ1Q/bJyUlzx4vPmaGMuXjZ2JEG\n", "z6kTWbkmTz4jGLFHSwVcmn9/noDEn3u50ZGZFy9e6Ic//KFevnypg4ODhrdSv7K9Xkue/o5yblpS\n", "rhLgZp+d30Ld4bZIkwTkNLAspIP1i3k1gbT5m/3swXutqJCj8Y6SsB7OkXSZM8dDKVPfEpgwYnR+\n", "ft5aHmLUkvrMupjAio58bqMlHZNuCZSk9sWOBJUZSenFi9Sx1COcj6R36saka6/ypiWbPyXpb0r6\n", "WNK2pP+1qqpfi8brqqp6tvIHf/AHTce+8Y1v6Bvf+Eazy8DhocnJyeaeCK7hnp2d6eDgoDkXwpEO\n", "9O9iEIODzbZZR0d84dX+/n5rvdATQcXsHyPLXpNOhe3fNEw8IdbLNKurq1paWtLy8nLrbBUml9GL\n", "YP3ZhqRWjgmVUGZFUznkeKwMaOT8mXR1KURqb/0sRU3SsFEoaBT5Xnr6ybAZXs4ltvRoPL4ULCaW\n", "pZG1MHIHjpUHd+y4PyzuE8Esl3B4SJrfTyVCRZLAjYAkFTpBVc5vzgGjbSXgUgIkVVVpbm5Oc3Nz\n", "xTD7j1p+Erpkfn6+mVcvdbJvPk3TJ7E6kXV0dLQ5ndlnjvCyMYJuL32Mj4+r0+k0SzXWP7nUm0tj\n", "UnvbZAnUgyZXwB/7ZGPY7Xa1urqqFy9eaH5+Xqurq41RZT8oyxmNoIdsebOcs21GAkt9Y93S5Q4g\n", "6hq3ldGD1EF+tpfX7r/9mw4owQ7H536SxqzX9CJIsHywPY7Tc2KHsFd0McfqdngyMoGBx85j/D0e\n", "6nPbiYwMs7/kPX7PNjiXrK+kM5MeJYcl9SEL+eCHP/yhHj58+JX0yJuWbP6MpH9S1/X660b+kaQ/\n", "J2m5qqqfqet6uaqqPyFptVcFv/Irv9Iwgb1Urt3ykB97lJ74/f395qj3XHYx0u10Oq1zPni+gMOr\n", "nhAzQ4bKzJRmKobIc2JLk82j4AcHL+65ePXqlRYXF7W2tqaTk5NmHdLPcQ2TyJg5KUwozQiBhYuR\n", "nmQkM7Xrdr1cT030zGdyacPLZSmQfp5RG35X8mzItGRszjEjLvkdlRlpkMrNQldV7VMu/RwTGtl3\n", "LwH4N/mSfOK6TVMqeSo+gh8XgpAEjyXFxWgAPaFU2gmq/Zufp4Jim/7s448/1je/+c2mzm9/+9u9\n", "xPyrlB9bl3zzm9+8YlA9h9YDPuXYxwV0Ohc5BAYVu7u7zW47Kmv/GIwMDQ01S8U+xZWeZWl5xLqE\n", "8+HnTddSlI9z7u8Nbrvdrubn5zU3N6elpSUdHh42QJVGlcmQrotgn6CfgJegyc+4Dr7PvDA+Q8co\n", "ZcjR3FIUwfRhf1NX5AGPriOdGOoP6xO/x9wezgvngYWRFwIVGmzrkTT0NMKUI+bwMZ8p+Tejyx4H\n", "+c310V7xJ/VIScenHiFtOMcJHhIEum/+27859rqu9bM/+7P61re+1czt7/7u7/YS8TcCki8l/WdV\n", "VY1IOpT0q5K+I2lP0q9L+i9e//7tXhWYqUxwJ7H6OyeR0VBLanJMfBkeB+sfewkGJENDQzo+Pm4d\n", "Ky9dovg0lmQU6aoxsRF3HRZ4Ljl4R40PNPPBSaurq3ry5Il2d3eby9mcG2PgwqUYKgYm7Jp50isj\n", "IEmGch8TsadCYMiQyz/MiSBAIUih126gSaPmvrv/aTzTM3MpgSP3nWCU/OC/U7hYHMGil0Lvyt+5\n", "b2dnZ83tyjw0yclppBsVANff/Yy3CjIM63bcVioy0td/OxzMs0aojAmyTS/Txt+5DW4hp1yl8icP\n", "/Zjlx9YlNOzMmfJWbG/XdWTEeWjcWWNHRWp7j96hwu3B3W63Ob+IiYU2DrlcY7pmHhCPDMgoH3O1\n", "BgYGGn1o3be+vq75+Xl9/vnnzbZ1Ru8YxbOxIc9Qt3guCXD5Pw0R+YHG0bzhsSUdPUcZbSV4yGWh\n", "bMfLSDzVme8QOBF8JGChAc4+EFByzCXglMVzShr5ec9H6mXTxYCEyyTmD+bLJSAx+DRNTRcDbtaX\n", "48+lPdOylMSbutuFOprzRvqlk8jnv6oeeVMOyR9VVfU/SfpEF1v1vifpv5U0IekfVFX17+v1Vr1e\n", "ddBA8nhc31fjLb7SJXDwTYu+zZeo3MSS1CSFjo2NtdAjjwimh0kkW0J0nqQSIxLRuq/OdzGT+YIr\n", "/xwcHDT9dH4Mt3YR5dtTd1sUNDO8hZv9zqhNethkghLyLTHhwMBA69wDMrhLyUMnKvf/Fn6DGI6R\n", "4yQAdH3cNWMFQsE1Pah4rhMktknlyD4m/QlEmBhLPmQkhzRKBU5A6zoyEpJRESont5PCbaXmNrmU\n", "QJCd3maCYStGPk8F9uOUn4QuMW0JkukQTE1NNZFW86+jHL48ryQ/PAyNW8UNIkvvpC5JOSp5q6R/\n", "GgEbMuliiXFjY0MvXrzQixcvtLS01Dhlfs7LAOlQcO5Tnti2+5lgNPtNfnYdydclQMsoh3WKDTF1\n", "Cfm4ZNSop6mfqEsICGgkySeUt0yMTxoR2HHc4OXk7aLeIQglKKX8JtjLOqnLWZ/UPgOGejp1dtKb\n", "+o/jN3hxOwRtdA5L80ddlPluP4oeeeM5JHVd/5ak34qPN3Th4byx2AtwIquVwsTEhGZnZ5ujtk0Q\n", "L7s4Ac3rtqmI7blOTU01gCSRbS8wwr6R+dIrBA1aITwL2sjISHOYlnRxed/i4qKePHnSeFU+Bn96\n", "erp1SqLbT8aRLpdAyMiJZomEE7CxzvQO+JOolwLvrddE8/ROaCSltkDwN+snvZPWPHXV9Vrg0kNw\n", "YpkZvJdyMQ/k3HocJVDDZ00jRybMC/6OJx5yfFSU0uVSiefX7RrwZHSEvMp3OP9sk8pZuozM2Kjm\n", "Fkx6nC4EhDYaqYx+3PKT0CUeP0P74+Pjun///pX8rFu3bjX3XvneGddTAiSzs7OamJgoGg/qEc5V\n", "zpf7iDG32uT3abB8ZsXh4aFWVlb0+PHj5tAzXrrmk2OZX8QliDxF1c5A8hL7lhESf14yaKV54Q+N\n", "rGXW9XNJK2UtDXBJJkp6vFQHwbj1SF1fnuScvFRyJtJWkCcI6vgZ5dKFIMH05/i5jMsx0cj72V7g\n", "8To9wjpTj5h27KefJS/RsellW1hH2mHbsB8bkPy4xUTweqLPvrh165ampqaavBEKi29B7Ha7TYgy\n", "CeJEVp9bcn5+ueUyPRr3w79Ln5c8mUSt0iUCtGIYHx9vrqp+9eqVVlZWtLy83BhQJ9uOj48X6ywZ\n", "wlT+ZCSWXoCEDOnnSgJLTyeRchq5VAb0PErMb8ViwEDlTaEtASYuD3m5yn3ibbhJD44hFQIBVAl8\n", "GjBTKRGopgdEfiLNk888l6SB26MhIc+l0mUEJpWJ6ZKh55xf8niOh0om+Y9K+H0oCaYGBy+umvCZ\n", "I84lM+D09n9v2aUD4t1uvnbizp07zaWWjLK+SSf4Gal9zoh0uURTkhE/RwDp+2kWFhaaO2pMe+sd\n", "R2TZVvJS8qv7aPny/6VID58nEEueL+lOf14C6PksZYZ9Sn1BeibYp/7I5NQ0wH6PO2uoA+yY8P1S\n", "m9lG0pcRRs+zv8s68u8Eu6w39TfnICNjpSgGAVqO3XVwnjPFIeewBC4IlhKQSG/WI28dkDAyYoVg\n", "lOoDf+zVnJ6eXtmWZ5Rt5hocHGwUyNTUVHN7ru928NZNEo05Dr1QNlGmw71S+26DTqfTrPF6vXlk\n", "ZESvXr3S3NycFhcXm5t7vdvGzxg1cicFGdjF33H9NI0/GZIlGZGClt9T2BiV8HtptDOs5/4cHR21\n", "blD1+2nYpUvlnO2VEuZYqLAcXeBzmeTlcSVASCDkOXcxf2ZeSNLaIKvkqRBwMGHV75g+7qPr8w/B\n", "CZVqacmIBiOjiN56mAcn0Qul8qRiJ72qqmop9JsspEVVVc1yrQG/dYKTkbe3t6+cOeI5kC5P4Zye\n", "ntbs7KxmZ2d1fn7enMhqgJpeKXdAsG+eN8+h9YVlWbo6Z45qdDoXuS6Li4v68ssv9eLFiyYh3on/\n", "BlulaAZ5JQ0Xc6YoI6ynpA/5PSMCCTSsF9gPRgn4GfncNLADYt2SUUbqM+sWevJs6zoQ5OctEwS2\n", "GTkkDXOOWa9/p9zS4WBdSWfODwt1qcdMHZzA5joHhDrctOahaiXg6ToIXEgH8kg6lKlr3f8SSM7y\n", "TgGJFQkBiaMMdV1rd3e3iYzweGYninnivTXPgGRra0vdbldra2tXvBozh5ULGTbRpEGIAYmZ131m\n", "xMNKcGRkRN1uV0+ePNHCwkIzqb7Yyxd6DQ4Oto4PTlDEyTJ90hDxDIRE7y5mrBIC5top20zQ4e+Y\n", "OEil7F0ABnpOxpPKCJhC7/38qbBKAMvFgkRDz/ljP0mHVCZs18JkRcLonXRpuDLaZJox9Etla6CV\n", "yXzsW0ko/R49wQQk/iFApofskl5htuvxZNg5+0qF8j4AEtPIRtp5aD7IzMcHDAwMNAmsdlJ4WJ0L\n", "c0dmZmY0Ozur7e3t5vwi80NGMTMy53ptwLmMwjtJCAa5DOk5Pzw81NLSkn7wgx9odXW1OazPzg0T\n", "4rmEyn4wWsAt7LmkILWNvf934bjTaSrxHHkmgQ8dqoweOc/H8pvLTeyj54Byy/Gk0c/xUJ7Sg3dE\n", "jf1PvXddcZ9K+ongIfPoOEclo54Aj3XleDlG0o48QTBCRzCBq99J54/zzfElkMuIvPngxgGJB+8j\n", "u51T4a119hBs3OzRGMBwOcdE47Y5Z6P7OnCDBrdpoS0hZyI3qe2xksDSZbjUp0F2Oh1tbGxoaWlJ\n", "L1680Pr6uo6OjlqnQ3KtMkPAHksJifsdMzcjRakoKERUHvQkqQTYB//fy2NP4Taz8mZJnjaboIbv\n", "klFLYCmNIdtM5J91M9chk0XppbgOCjaVx+3bt4ttmVdK3t91QKCXseDYSZ+kndvl89yOToVBrz3r\n", "YTSH7ZO2uRzENpxncdOFfOoTWe/du6fp6enmDpc8XZUREirzPB+iri9vWvbSrw0mvUkq7lJImzyb\n", "ETG+z4Rx32S+vLysubk5LS8v6+DgoAFdeZGa+Y/6MJc5EkRbNqgPCKLIm+QR95+gi7on+deFho10\n", "6aWLHPnhRXesn+8n2CjpG/Yj9Qb742dSj1BGSKtOp9NEc9im22HeX6nN7HPOTcqo+8eSwIVzns4P\n", "n3c75kPq7Izcs4+kUSkXhnSgM8boq9vMbdZZ3gkgsUDzBs7x8fHWTg4DiP39/db9IVbCHBDf2dvb\n", "097eXnOs/O3btzU6OtooFK4rpsHNSfUzVPD2RhOQnJ6eam1trTmsaHNzU2dnF5ck3bt3r+mn66JB\n", "oweVXjsZ0t6gPYfMNXDdBE9kMCbGDg4ONvNAYWRCVzI1larb5E6f3H7I5DG+k4CEHlMKpktJYfA7\n", "/m1a8mhxKmqe+cC+sU1e7Z7LItlHehxUVJ4vjp1tptLP5whSkk9Jc+bSZKY9ARLBCOfW7zBR2FHE\n", "0pxlvTdVTJ9Op6PR0VHduXOnSWb1csbg4GCTGOrj3r1dNpdJeGJnXdetu2rOzs5ad8jkTb7pOZfA\n", "O5caWOjhS1K329WzZ8/08OFDzc3NaW1tTQMDA825KoyiEEhyPAbdBCoJNpMGvQBJgmACEhsURvTM\n", "K5aZUlQho9HUJVVVtZKROdZegMQldXjqhow4EtBQBgmWrAPsEGd+TqfTack5+8LIKfP+Soa+BBLo\n", "WHn8dFzz/RxrSc+ZlpxTt2WnnUvMJT1CAJ42ivxm2qWeNd+/SY+8dUBCYzw0NNSESO3RVFXVHCNv\n", "cOEjvqWrp3Vakdy6dUunp6dNwlruJODgS8bBn0tXEbY/MzM4suPs9rOzM+3t7TWX5W1ubqqu61be\n", "CBmV9XGffql9/59C5n7k94mm2R4VBgFI9i3HTsSfCtdzkl5Dtp1edjJoSWiu6w/7lJ9lhIQRDP4u\n", "Cbb/tjLksgiVGL3NHCvDm9w9w/ZS0ZPOvbwbKgp6xaWkPI6RNKRXkobH8+t2bbCo9A3I3wdAIl0q\n", "tbGxMc3MzOjOnTvNTruBgYGWLnEuWmm7vCMkXgaxTPOkXUYgpDYYKAERftcLsLBOgx9flvfo0SO9\n", "evVKx8fHGhsba5wr18X8CoLtki5hSU/XvJ76Lo0WgXTyS3rw/C5pwrp6gRXqktQHJaCRzxB4JN1J\n", "B0amM9JEQJD8ltEwjpX6hNu3pfZhhAl6SiCqFzgo6ZGkKXVggh4msrJe2gOCFdIuQa71iN9J+5pA\n", "0s+VbEWWd7LLRrpcL+Q12WNjY809EV679bopD26iB+/ttiMjI63oiKSGEXpdUsaJoldrI2KCc4Kt\n", "uAw0jo6OtLW11VyYt7Kyok6no+np6ebujLzbgZ4mlRsjGVLZy2KirUEYw2slJrDxoOFJJUPARYNF\n", "IUmhTWVMz93zxP9L46MxTaVEAciwaXoAnkMu6bFkv9zvzGHhXPs9Ro1MIy/n8MoDnlHCiIX5iMsr\n", "XpJk6J8/qTgZITNdyZ8lw0fDVOInAqwSGGb0wLSggrrpQvDpnBEfhDY+Pq6DgwNtbW01P9xZQ74l\n", "ILFjZOfGpzsb/HPXHg2XZYnGlE5EGjmCCvMsbwCfn5/X4uKizs7OmvF4CSqjGbkNXmrLuv9P3rA+\n", "40nF7LN0FXykDqMhIshLvuRnGR1+E9/775KhM2jOpUvydf6wPtPARlpSa05ocOnYsG8ENWlPGPnO\n", "cXBJipsUPK+MeKZj4+JIZkZVSgCDYMT6iTaQc8a5SJBL/umlX7LOdOKsx99U3jogYdiJ2eL+8TkB\n", "a2tr2t3d1cHBQSM0dX15A2oJkGxvb2tra6v53omVvNyIzEDjZKZOwEBiMjLi8Onh4aE2Nze1uLio\n", "5eVlra6u6t69e/roo490586dVojVE8WELS8LOCxsg52My0iKacfdRvR6OOFkLgoy0TXbKS1pmNFL\n", "OS+mkRmdoCOFmKCrYbjBwRZAcKE3leOi4BGMcQ5dR7ZdUgal5ayMYKTy8THkpqsNwvn5eWtZkoli\n", "DMtTOaQSSc/Qc2BFkgmMqUhK887nqGjTgyX9yQ9pAN6H4jl0Mqt31fh01b29PW1tbWltbU3b29va\n", "29traCD1jnoODw83iazkdc+BC6MbBK1cQs5li5xnnma6s7OjFy9e6OnTp5qfn9fS0pKmpqYa52Zk\n", "ZKThM0Y0DJBv377dSnqnU1ACQG6f/TW/utDwluQpAYmNN9tJkGN94X4RYFnPWM5Nv4z0kB/NCwQO\n", "LjTwjDS4X4yE+j1H3VkYEXD7rou62HXQZhGoJP963o6Pj1unW7u/PPKA0TCPzcV6JOc5dyxSj5Qi\n", "hdS7rj/1UeoR0ih5J20F7QTb6FXeCSBx4qOjB5Kaq8B9NLx2llKvAAAgAElEQVQz4U1IJuudn5+3\n", "buHsdDqNt0mP00TptW6XUQITz8JOoep0Ok0CrnNSVlZWtLCw0NwrcXJyojt37jQXeVmBeNxul14L\n", "13M9QUT7LmQ4/y+1j4QveQL2qjMCkN6D28vtxCUBkS6v0U5wQyZk3dk3v8Pbe/2c1F5fdDtU6iXm\n", "J+h0yTFTaZgvUvkRMJUMdoJb15thUPMSozamJ5dD+JuhdwMY80Yqj5xDK3oXK6YMu2dYlp6037MB\n", "Nq/RqPRSsO+6DA4ONocM+lBF84qPhnci69HRUdGD93KPD0Hz3GQulQv5OwEfi+WYxoF8a6N3dnam\n", "zc1N7e7u6tGjR3rw4IEWFhZ0dHTU3Hc1Ojra7KZJMEV5yiU79j2f82c06uQD0ojvEcRSptKwGJiX\n", "QDKdFr6XTpDH4P6UDKa/zwgm+8/PaZANSOic5hx6vH6GY6Y8UO48P4wE+zd5gPqEz1ne09niEof7\n", "4UgpneeSc8N6c55zzHQE3bZ1Udov6t10jDNylNEYjr1XeSeAxFtgDUgINLzWu7e315pwC5uZZnh4\n", "WDMzMxobG1On02l5pZJahDAjJRPQsJgwZBiGpQxIfOT7xsaGNjY29Pz5cz158kRra2uamJjQ3bt3\n", "m+29voTN46ZC9Gc0Yu4Ll6foiZAZPE56Ya6bgmShv26pxYUAiYbRStW7DUwnj8G/E9ilV8T+SZfh\n", "Rn9ORUJA4r5lFIDfkVY5xvQYUkBIV4+HoXj3P5UnlUNdX0bv6BVzXP7M/UilkYAkz74peZoJStJj\n", "cXSDXgn5hYokPRrPESN2pPlNFwOSjz76SDMzMw0gOTu7vOHbOWWOQKahHRy8OFCxFyDJUtIl/tyF\n", "9UtX76tx32/dutXcXv7ixQs9fPhQDx480NbWlgYHB69cwMkIG4E3jWI6JyknfDcBSS4FJuCm49DL\n", "m3Z/qA/cb9LAS50p46mzCYjIn4wAp7HLyDZBhKRG9lwH/+ZYqIto+AlgkqYudEpS9kuF4/KcEJDQ\n", "cfHzCZJymSiXbrJetp1yQb5xJI3j4t9ppygfpFWec5JyUypvHZAMDg62LsBzFMH31XhbHkPZFDR/\n", "Njo62hzT7ivBj46OrhitVOJEiES1qag5QTwjxYm3W1tbevr0qRYXF9XtdlVVF5nh3jFU2ppHsGTm\n", "42S63V795kQ6ukCDmUzp+vhuKo4SA7p+KpZsP5Vg0s1/k76ui5EVznMCRnqonU6n5QUlgk/lyu/M\n", "N3wnAWkJnNE7Sdow/yMBc9LbfcutuKRR9sd1JVBLQWYIlGNjYV9S6ZcUAumUP66nZKzfdfEFenZu\n", "vFOPN4N7iy/n2TT1rpnJyUnNzMw0OVlOfKU8XQf8kl6kawJj1nl+fq5ut6uFhQV9/vnnev78eXOk\n", "PfNZuCXY7REQ87N0CnoZfOpHAlK/a7mxMUs95OdcSvqFPEpjVXqefUvZyfb4HM8fkdoOZQJHOjIe\n", "N+fG4N31Jb9knz2HHHOJT1hH0oY6pARGklap4+j8kDZZF5e+SnxMPZI059/Uo2/SJew/f3MeMrKU\n", "5a0DEl505cvoOp2Otre3tbq6qu3t7dYWqgzJGdD4WnFfurexsdGsyZWYsWT4SUAaDAui37fSsgd2\n", "cHCgxcVFffbZZ83WYp434su4OEleOknkmH0qTX4qM+nyPBciYkcBuLSS3kEqlgQCpE0a0aq6PDGW\n", "DMWEq1xucl0UMOYkeLspn+WP0bnHTSXnOeb6Ld9zn9x+rkeT1lT4/C7/d115Q2yGLFPx8T0rFoKP\n", "DL36dFAnHGbEz2N1VKZkBAn4SsbLfEcFnwpNuupxcmvxTRYuaTjJfGhoqDlufWdnp7VUQ1533okv\n", "4ZuentbJyYk2Nzd1cHDQAJaMYlGuCSClq8siNJSmv7cWe4l6dXVVjx490ve+9z0dHR1pYGCgdTsx\n", "889oPGiQpasGtpdRN49YX1A20qt2Wxx/SW967BmNID+lHul0Oo3T5nqYW1eSx+RNyn6J/z1e6if2\n", "k3PX6Vw9h4Ntm15cks22CDZpu0j31HFHR0ctHU/nxsDR71NeLdekBXnA33nLu8dPO0J6lkBQ8lxG\n", "xUpj4/P+7f4lqOsVhWR564DEt28yq92EW1tbax0RT8JJl0lAPBn1+PhYu7u7Wl1d1czMTHMyIxWB\n", "lWh681J7+YQT7s8djXG9Z2dn2t3d1dLSkh4/fqyJiQl94xvf0L1795p+lTwFG1+G7TLEyvfI0AQx\n", "zglwEhSvGudatQWdSw+pJErAzX8zMZXflzL5uZOEtC8BPoIWHqjGOi1YfJ705ByaR7wunKFi84+/\n", "p7fLOvJzepIUwrquW5dClhLaqBAo9KyXipGHBXq+fChXp9NpEmg9x1wLLu3SScNY13Vx91F6YPzM\n", "9VOBeY6tMG+6ePeJ5W5sbEzSBV+tr6+r2+22zgvhXFqPTE1NNbtztra2tL+/r+3t7SaJlO9k+Ps6\n", "I5jet+docPDi/KKjoyPt7OxoeXlZT58+1eeff97oL5/C6rM4SvPWS25KfJD8Ll3uJOGSMY0W9QfB\n", "WBZ63CX+M52SHrkkyygKQZjb4HPmadeRur0ULfBYCJao1xiB4NK/aUUQQ7CQepOgxG2xX9S/Jycn\n", "zdKVc808xpIDmWDFxe2aDtZztBM5jxyPdPX8qZIeIS2ox5IGnDMCEuoSOmLXlbcOSCYnJzU2NtYo\n", "WStih8CtgIkiO51OsyPHkRFfoMdJzdBiCgvROIlEJpHUIG+35TMANjY2ND8/r/n5eW1sbDSHuvnc\n", "A1/iVZpUG2sKIz2skoeRYbdcf+x02hnpbsPflRCw1I5QZHSm5IWkkXL9Kcx+hvWZ3one+Xl6OFTy\n", "CZjyeY/b4yM9zR+kM4WLSsj9STqwP+yTaZiKn0CBdPB77qM9svQCXXzCML2yTFpMI5NGiQrMbeb8\n", "cg4SAFNW6BTYMbjpMjs7q6mpqeaUZ883c50skx6zdz9MTk5qdna2uUDPfNALiEtXnYTkweRVF9OL\n", "W8UXFhb0xRdf6Msvv9T6+nqzfJ0JrIx8ModAUsv5II8niGQ/U94ZJTg7u7iLiroqwSrrsE4i8HDd\n", "LCnf/KwXfUuggQC7l6yyftZbmp9eRj/lhQA8wZF09QZx/s1683063OQr6seMwJWADufKz9Gh4Anh\n", "BHSpq0l7R8byM0ebSvYp+5vzkZEl68DryjsFJEa3ViD2iL0skOjOeSMzMzMNaDEg4eFpkq4waUkZ\n", "c685jbp0ea+Fk+Vu3bql7e1tPXjwQF988YU6nY6mpqZaBzGlN0XlkUqCkQRJV97LMH8pIciAzszg\n", "6InrS0DCBNdk6pISoXClkLn9ktIoKWUCASrDXmAkAVovQMK+lgAJhdbeLYErIxmlfrO4H15GMh1J\n", "Awoox8C9/DyGnMaESonbiAkKUjGWlHJ6TORr8kTKiCNRVGwJeBPc32QxIBkbG2vutzo6Omr0gXS5\n", "G4wnHPvuKx+kNjY21sxdns3Ako6F59rflXIEquryFuHbt283XuvCwoK++93v6uHDhzo4OGjAiBNY\n", "6bzkDh3yIfma/SxFdHIurQNcGG3jCankMRo065uU5V6gjXXR6LPf/F36mzKWvF8CJ5RNOgWlkrol\n", "wQXBvtRerqIuYt+y/hIvlfrJ/uTzjJLyM+pYv0t7wp/k7wQeGSFx3ayfgIR6yWCG40/HxnXfOCDh\n", "couXP5wJzyxu6WrylkHJxMSEzs/Pm4uypLYnlMibxOuF4s0I9ka8Lj06Otqcwjo/P6/V1VXt7e01\n", "oV6HV/OkQxpHTy4VfhpUKgvuM3d9qUiscDLslaCF7RDxu48pJL0QuBVbib4cA5/nd1lKHk16UBZs\n", "80XJE8q+e5ypbEsKuJcxT2VCYeO4ODesK6Mfuf6eXgK/KwHP68aaCrRkRAggeF0A63FfCVpJKxrf\n", "BNs3VZzMSn1gXcKbeV2ovBlt7XQ6ze3jVpKZW5X6JOWAfEPDZeDpsy5WV1e1urqqx48fa2FhQZub\n", "mxoYGGgdesadVp6LBOiSrij963goQYU/S0ctZVDSFdkj39O4ExQk7fkZI4UeB0sCvV5yy3KdI8EI\n", "aDo+pFsCbuoxzncCrgQp5IV0BNhO0rMEEphf537lWKlDrC+pP7N9jpvLJ6RV0obPS7ri7DC1wn0g\n", "zf2d6ZPR8l7lrQMSHqe+ubmpjY2NJgHNSzZWikT2Lj4ldXNzszl9sdPpNF6SCycikaGZKInd6XSa\n", "46O9Pn3r1i09efJEX375pZaWlrS3t9d4MwYj9GA6nU7jodkj47Y3t0mBZN+YNMrJ52c8wM19zzwL\n", "Mj1BkevLJDPXn4mpVtD2QLmzx8+QztleCnIq8FRa/s6RIUayMqLE8brvUvvEVoKC6/JpMtTo+nNZ\n", "g4o7QSXnorS9L6Mdyaf0OEivVMoEBBmCTaXm/jjRmsaaURvSvKR4pfbV4+8DIOHJrFtbW9rc3NT6\n", "+npzwmpG10hPOh0+4fnw8FCDg4Ot7frJp5xDf882pMv58dZtO0t7e3t6+vSpPv30Uz179kzb29sN\n", "yHUuEiNqzBfj9nsaTOowqb11l2P2/73y8/xsr6gF/+f3TNQnv7B/lEHSNWWOnngab3/POckfgnTK\n", "L2mSUeQSkCwlf7quBCmkSwnskIbuC3Vj6gKOmzTMkoC4F39m4Xg5DkfQS33n8+ZlAvjsY2nZk/Sh\n", "DrlxQOJD0XxfxNbWll69etU6w4EefEZILODOiO92u+p0Li7XSkBCg2IiSVfvTzBRrYyc5e5TVFdX\n", "V/XgwQPt7u5qcHCwdcW5E8/ScFixm8FTkNOoeQLdNysnetdk0mQ6P5NejhmBCol0TQ+KQstciwzh\n", "SW3B41hy3TojAiVlksU0kdrnBlDZsC8lGrEuKscEIuxn8oXnKp9LwXVdbtvn6/A9RloSzPBZ8lJ6\n", "yjRYCQY5J2kIrEiOjo6a75kwbEBiPkxAx/6/L8WHFA4PD+vs7Ezb29taW1vT/v5+s9SbskkdYl20\n", "u7ur3d3dZpeLoxV8Lx0JK1s6IlL7HhbvKLSTtb29radPn+qTTz5pTqH2XPKckeRTrttTRmmApXaE\n", "xLzoPA/rJYKOkpxSh/WKKLNdA5yMHJq/aHhT1sm/+TkNaylCUspxKekS10Xbcp1jk+CE88qkzxKQ\n", "Sj3COtkP2rQSfel42EEt6YheJZdRko+p3+igfRWnjxezci44/6Q1vyMdvmp5J+eQnJ6eXrkKvOTl\n", "2WPzeQOjo6OSpIODA3W7XW1vb+vw8LBRMkS2nMBSFnZ6S96O56WYgYEBbW1tqdvtamNjo1FwPjKe\n", "J7GmMud5I1b6JQPEybHnkKG/koFJgfX/3GVS8uDS2JYAAuvnmrLHmMCqpBAMyErt5a6ZDEfzs4wE\n", "JAhwSVDiz1xvKje23UvISRMqaCslGiKDBSos8y8VNj0SKziONwFy8nLydPIH6UGlZN403Q12aVD8\n", "Po22lxm4xdnv9zrg6V0WOzXdbrdZvj08PLxy+i8Nmg83HB8fV1VdXuTZ7XZbu+D8k/xCnjHIJT/4\n", "Pd563e12tbW11RwH72iwnzMwYiTQDpp0yQ+ekzQsUjvni5GWEoC+ziult5yAJI1a6pg01m6X+WsE\n", "d2nYe7XBJUbqG+vXPM4/9RH/7+VQsJBvsn8eFz9L3c6SADNBJiO3nC9/ZxqUlkeoD5JfSvSSri5b\n", "leb4OrDFCK53F5IXyA+2rczdYzuMmPUqb13LDA0N6eTkpLkO3N5MyWs0IBkcHGy8IakNSM7OzjQ2\n", "NtZae/WkmwiOVhC5UoB8QNLo6GhzSNL+/r7W1tb08uXLBpDwdmLfn5NKhFe2m9m83EHPipMr6YrH\n", "k+FMCnKJSUgzGuiS8aSxLuVEkHY04hmC8zsZfbACcv3JgARx7ifnLZW8+0RhZaFyS88jwUHWWQI6\n", "CUQMHqwceZ+I6+NcmqbmCRoTjiU9thJ4K8236+DzSQ+CMAIjKxKXbNvj4XbmjCzmDaY3VRKQ+GJN\n", "58mQ90w3Ox1OQvehij7c0E5G7mohEGShnDP6YvoNDQ1pbW1NCwsLevz4sZaWlrS9vd06aDEBiQG9\n", "1HZquBTIuaceMN/QwFHnpGEk75MvpfbpytQhvTzt/IyOZeYtUWYJhgluyMcE9ATGPEE0HRvqkqQV\n", "x57AvuSk+XPm+tHQl+ST9ZB2XjKnI83x0XGmLZN0xcGljJeWoqxHqet6AaiSDi2147odSS+BPI+F\n", "Z0hlXpBtwXXlrQOSqqp0eHionZ0d7e7utgSPBpJo0F7NyMhIE/r09jQPykYujeZ1CNxE8SFJPljJ\n", "bTx//lxzc3Pa3d29si2PxohGj+PwMoMPpknPweOTLnc4kHEy2sFCRZPLE1myPtOCz/t/Kq9E0nyu\n", "pHhYX3oXOW5+5twU0i5zXBLtp1G3cGe77g8FJws9aAo/QTGTlEvKKmlkXjRANEArARD+TSVWUpwl\n", "OmR9+VmOKec3FTDBYt5tlFGDmyydTqe5r4aHoLmfBCRW5GNjY5qenm7OP9rf328dnMUohAvnOQ0U\n", "QT8BiR2v/f19vXz5Uj/84Q/18OHD5gBHAozUGTTarstepvNJct2exifzydIY8Z0E+qy3JKsZTSzx\n", "aimq5/dLfJe0LfWzVFIO0ynwHGYkx22nfqN8c0ko+97L8HMpxvLPd5mnUQI+pflgm6ZtLxCQvPBV\n", "aFpqs6Q/k8a92s25NA0yibm0jb1U3gkgcfTBp7La66JRruvLZC8fYHTr1q1mvdeHyQwMDDQAgYqf\n", "yojMRzBiBeBEWZ/WuL+/r9XVVc3NzenRo0et80gYFWE9NCgmeF1fHKLlEzcZKqcCSPSczMaQHYsZ\n", "lMg6lUUqhmTSTKB8k9JJQJJCnaCP36VS9Ofc8s0tj+xzKRxsAeeFf6QllQcTo9n/Eqjg8g4BCet2\n", "H1LZuC5GTTxG6aqBp/DnGBOIkrYeX2lrL3mF0a2SYeoFcOq6bh3YlkmV70OpqkoHBwdNUry3+tLg\n", "W8a4s2Z6ero5nMwHMfrmZ8upaUZezuhARh/djhOId3d3tbGxoWfPnumLL77Q48ePJamJwmRkMaOC\n", "VVU10Zaqqhrecd6a1HYAEtTkElMvI0YgkRFG98OfZdg9owSs7zonIHVLGkEudV7XDn9z6YI5Obmk\n", "4980+lwaYpupFxm5zr7TmfbYPQ7Xn1cSJNjyO4yS8DO3l3KfQDl173W0LwFF0pR08/8lJznr43Ix\n", "o0I/ih5564Dk5OREe3t72tjYaN0ZYUGmYvdprt4qXNcXR+1ub283noI9GifaECHnRKXQ25tx5GN0\n", "dFSvXr3Sq1evtLi4qOXlZa2trWlkZKRJZGVkxIWo2m1z3cwnbmZ4KtExP09h4/dpNBNk8PmSkeUy\n", "A1G9dJlpX2rzOvRMxs98CY6VdVmY3A/pcvt2r3njs2T4Xp5D0rhEa/9kRIp0M23oPVMo0zsrgcrS\n", "LpWkNxVgSZGz3+SRktLmZ6R5r/qoUJh/UprD6/r2rsrZ2Zn29/eb5PZc5iDvcHef80f29va0v7/f\n", "JH4ajDgUnR5vAhMu1VgXcQnXYGRubk7z8/NaXl5ujqrPs0WSz/139ieBv4v/TiOXBs+f0WgkgOV8\n", "l0CKf2c0hcaRRpn9SCejVPwul2iy/6wvdcv5+Xlr2z1pQ/liW1yO6AXeUn/0+l9qX3paMvgEjnyG\n", "OiffS6BXitRwrNJVRyxL8kdpXlI3lJzjEj04H9SVP4oeeeuAZGtrq8kwpwKxUNPAjI+PtxLQjo6O\n", "tL+/r52dnSvCayWaIbsULiadDQ8PN0DEyVFLS0t68OCBFhcXdXZ2pnv37jVLOfS8yNhMTiTa9iRw\n", "fTgNYDIV+1oynLkDKZMSkykosFR6BCQpeG6bivDs7KwVxbKhcl3+Pz0oFxoJemS+gp3nXzg5lxEJ\n", "/5hHMhzK99imwQHH5fc8doNaRhw8Biu3uq5bPOVnOX6/4/oJYGyA2L/kh15Khf01Xbgmn8f58+8S\n", "MEtDlCDIn3EpgZ7a+wBGJGlnZ6dJZuUFel468Tidg3bv3j2Nj4839Ds8PNT+/n7zTilnJME59Y7l\n", "gXkjnU6nuc7i8ePH+uSTT/Ts2TMdHBw00T8a5PSUmb9RVdWVEL95iYajBH5T3tl/P5c7TyzXqScI\n", "ytKwEggkOCCAc0TH/ENezPoyQsBnrZcY+ZMul7zJ14xYZuJo5jW4+L2SvvS7tCt8L+eGdZsPM4+N\n", "tEt5db3sP1MBWKjTXcgj6WSlvjIN3SbHVZojykWCtqQJ+5YO0puiJG8dkGxvbzfJrNJlMqcNlk9t\n", "9Ump9+/fb452Pj4+bq4Ud1Qjw5O8IM+FhCGo4BZfA5LFxUV9+umn2t3d1fT09BVAQmTryeD+7VRk\n", "Nrql+xlKSo+KsRcgcZtWHrmckIAkwQajF66j5AlYgHw0vw0slVCCm8ymd5umuRUgjZ6Tjl0nt0yT\n", "FvQoEqW7n+QFGwlGrsgT9DZt1B3ZKhXT5eTk5EpeCT2/BFymJQFlKrvSXJOPk79NDy81sLj9TGa1\n", "Ik1D4PrcDvkklR9369x0cR6a80BsaAwSuIV5cnJSH330kSYmJjQwMNDcLr6/v9+6UTcBSUku0rEx\n", "IHGE9/DwUJubm3r8+LH+8A//ULu7u6qqqrXUUpL1jH64fUdw3E5GVvyMeYTym3lulHXuPuS7uWRx\n", "HSCx7NNjL9HLIND9dL8ycd7P0YASHNCxoUNmO8Ilb38n6QrNEpy7WMZoiA0+eUhZ6leCJUbH8xnS\n", "xm0xMuNCPnS9/pw5dulwJu3T6JM2nEfTlYXPlkCuP8s597uum7rHxTbrTXrkrQOSnZ2dZo3PhGYm\n", "rifJn3upxocX0dDkrZBWFCUhMTPzDAKf+lrXtVZXV7W+vq7V1dVmTdlhXmfDe8KI9ErM5kJhTAGh\n", "QLBkn/0Z25LU8hJcPGYLBYFL9st9M/0SaLk9Puc2Sv3O+kpjogKkZ+73SsLid6lw6Y2QTlSYNKzk\n", "B37v8RkE0QiQ7jkHmZjaSzhZyDMl5ZGGwwotAYv7zH6lokuvg15fGl2+xzZSbjyGnJ+bLLu7u82u\n", "J4/JipU0GxgYaI4OqKqLpHqfx8IdU9ydQrmQ2kuPjOhmcqqT4R8/fqwXL14024m564a7aVLWWdIA\n", "cO7saScvsZDfS3rGhXKUwMjtUvb4bPJSL4cqDWeJj1g3ZSH7bbnIqEzqoJRJ0jsBGIF/L7BBo5p0\n", "5ZhcT+m5dDByzHzHhfr2Op7hWPhOgo+vWqivShFwOqLWydkvAhnKUgnAlspbByS7u7s6Pz/X6Oho\n", "ywvjhNKzGR0dbbLou92uJDU7XXh9tZFsGqU0ql4r9k3DExMT2tnZ0eLior744gutr6+3FJh31wwP\n", "DzcTYyWYbdHASlcBSckouKQxoOEpMSiROA226WAlkkzEfpl5OQ8uFBZ/7vGX+sznqIz8m5GRNKoG\n", "F/TU2A8KOZUIDQNDkaVxkrapyM7Pz1vbtUnzVASkC3kql4tcqIBcHz3iBGb+3FGYNK7st//nnBDY\n", "+DneheSICj2yXp5bVVUtZ4E0+CrK5G2X3d3dxnkgXRLEOVI1MjLSJK175xsPaqQhdVI658l19QIj\n", "AwMD2tnZ0cOHD/Xpp5/q5cuXLZn3s46apXFJkEq+4Jjo3GRElMZZKicfcr7TgKcRdt8tW+TXNDTU\n", "S70AFnmJSyPsm58rga1SNIZzUwIM1EEp3+6z6eAxlhzaXo4NQRYjHmyHf5foTH2cUdTSmEp6IJ0R\n", "9yej1slnpC35wj8ej8fm5fteNiv5r67bt41z/LmNPstbByR7e3utULoZ1Nn8zAGx8J6cnDR3VGSE\n", "RGpv62K4LL1pJ8n6yGifxOq7aubm5iSpicwYiDCxjIWomRPI52j06PFK7TtXUij5vn/n5xlKpdFP\n", "T6QUrqQySk+n1JbrK3kdVFRZ0rjnONP7oJBzfpPp6TUSyPLzXsacP6kcaYRKYy0Zjgxtl8ZJxcmx\n", "pUFx2/SC/V568Aleky/cFkFE0sTP8sf8yuWZfOemy97eniS1QulSe54o97dv39bR0VFzfL4BGnfW\n", "uNAQp1HispDfPTu7OA+Fu/PsfBGwUOcl/+f80ignjyUoTIOTBjF5pNQ++STH7TZTJsib/J/1U/ZL\n", "35PnGZkpAZKsK78v0Sf5Ittme9Yl1mep23McvaLUqdNKAIL18PkEQglE+D7bLRU6cckf/J8gl7RM\n", "nZng3J+Voj3+zLtrSG/qruvKWwckPp6ZHfNOFK8FO+HUiubo6Eg7Ozva399vgRka0UTMnggLtpdp\n", "fA7BzMyMDg4OtLKyoufPnzdHTvvAM9+6WTrES2qvSWZk4PT0tNmCmEzufpnB7d0leqYSynFJ7Tsr\n", "mJ9gTz0jATTSZEjXyTtMWFKhpTJNhqdQ8bn0Jq4rrKvE8HVdN0ssXJ6ikDF0z7F42Y6KwV5Eejue\n", "Zy4DliIE2XYqL9KPAph04nsprDRUBMiOpHBuDeyTHgbmzpfK/nQ6lzvBmPBIQMso2k0X3z2TSY6W\n", "A2/19W3dnU5HJycn6na7jZfnLboZtZKuAmlGOBxl9VLu8vKyVlZW9Pjx4+YwRZ5vwsiB6cnlDc4N\n", "l7FTbkoGinW5pOEuGXh/T13i3BsukfZaXkggTfr7M36XICD7a54lGMtSMmAl58GFuk5qL8l47JmD\n", "R+eKejPbYh/pELqNjH5RDkv6PkFOgp2c91461m2W6iegdn+sA3n/E6OkCUATPCfdXS8dSdo9PnPj\n", "gOTw8LAJWVIJHB0dqdvtNgLPO2K81ffw8FBTU1PNcg+VvosnwQDA67ZWHqOjo5qamtK9e/f07Nkz\n", "LS8va2FhQWtra9rb22s8KQMSZodzMqhISkY+GVK6eugYmZOCnICEwu56/HzepVNSIO5DMhCRrIEM\n", "x5HeBo1eKit6f9l+ChBpkoV9Y+4C6Z+JsQZ1pL0VPIXfNLdxyjFQWfk3jYTr8BIIvS0qKNMpQQuV\n", "ZioRC2sp053KjDzNhGN/zghZbn2V2mv8WciP5gcm59ScHUgAABk3SURBVFGxvglUvotyeHjYunfG\n", "fT89PdXR0ZGGhoaa5PcEJHVda2Ji4ooxL/EtHQgmsVpPdTod7ezs6MmTJ3ry5IkWFxe1sbFxJRLM\n", "NjIS4rnn1mNHe0vHrqcxcj00Qun8pC7xczbIBkIlQ0L+LfGA/2fOWupL9tef0YgygpdjLQGpXqVk\n", "INNRok52JJByWwLzbN/0SpoTWPGHoJPOXC7xsK8J+jinLAksOb6S3iXf2bHhOSF+jvNBp1u6Xo9c\n", "B0gIur5KeeuAxMbr9u3bktREE6zgh4eHNTMzo+npaUlqgIiNiY2D300BpKGyAvEyjQ83Oz8/1/b2\n", "tpaWlhqP5vj4WFNTU82um5GRkWa9veSlcAI5OckAUm8P2oxQes7/W6FQOHt5Lawncz38WY7Fz/tz\n", "CxlLMl+OkX1I1JteEulQijTkePIdAhU/m1t1zWcGDv6fwItzxaPREySynpJnmkrZxpxtJi/kGFkn\n", "nycg5Gel90pzYh4gqMilUbfJnWJcNvU8XTfumyrMc5Gu5hiNj4/r7t27mp2d1cDAgA4ODlrG3fpE\n", "UosenHuC29xRI6mJ3D558kSfffaZ5ubm1O12W1GU27dvt3J30jnInVOWIfJJGiz+TVkqebOmjaQr\n", "MkweLRl66lSCGdIrjXVGTC0X7C/7xPdc2E//LgEgy2ouN7D0AlBsJ8EPx2RDz8PIKAuUG9qenEfm\n", "0HFsveSJy9C9nLykUemzBDTZ5pv0iAt5gX3jsxwjZdHv95rPXuWtAxIDi+Hh4eZOGwOSuq41MjKi\n", "O3fuaHJyUtLFuSXOiGfok0rUA3Oo1t4hlYcBiY+f39ra0suXL/Xo0SOtr69rdHRU09PTrRtEvWRD\n", "gTSj8nRRe+iJlj3eZDwqojw638+RORJsUJH0AkBkFAtb3idR8qoIKshQ2afsjwWRCXBuOxWSx8lt\n", "qamA+C4jH66Lz5Yyvwm+WJeXOKigPHbzjJc0zF+8a8mAOpNNqdByZxMVIg1AKkn2l/POucwwcdIs\n", "6eL2bPQ8LmbeW7mUAIn/J89xDm+y2LP3WTYMlw8ODmp8fFwfffSRpqenNTg42CwJ01tlDhvnw/X5\n", "Ge7GMcg4Pj7Wzs6OVlZWGkCysrLS7KpxVJaARGovz7EtOlyms1SOTBE8V1XVWnrIJXG3SX3C+STP\n", "pWynk+dnaHjYpr9jBDkNfQlspG5JuaCc+feb9E0+75IAL9+RdCXSS/1IHmHdbJPzSEDDMeccslCP\n", "XKfjS+Ah6fqjAJJsg+0kIHG02mPm92ybvEGe+yqOzTu57deCfXx83Bzf3Ol0GtAwOzurkZER7ezs\n", "NPfWMKzJUKaJIV0qVnsiXEMeGxvT6Oio6rrWxsaGVldXtbi42Bxff+vWreaOiwQkeYtuEtYTWTIm\n", "/DyRN5kgjVSJ4WhgSkLM0BqjIETxyYQZZaGQ5+e5S4YAgMoo+812S4j5TUxZqot0SkWR9LXwJ82z\n", "DkktRVKiExUrAUPON/Mu6ClyPOk9psFJRUJv17SuqstLxujtk6+SPiVAlAC2V0TsfYmOSJehfYad\n", "nRsyNjam2dlZ3b17V2NjYzo4ONDBwUFjLPNU1QTG/sx08Dvc2dftdrWwsKBHjx5pbm5OKysrzbIv\n", "d+9wFw8jGQmYe8lCyYiX+Im8yohiyjnllHxdknnWn4acbaYR4jJRiQd7yW3SJY1qiS4l/cDPruPX\n", "HGevMfK3S46BusZ8maAi60qey/qvWy69jjbkk/yMNGLuXJ7Fw/6UdEbagRLdCUZKc5I0zfLWAQnX\n", "fE9PT7W/v6+DgwNNTExoYmKiCbF2Oh1tbGxoa2urSXSl0pUuQ7QM25H5BwcvDj9z3snQ0JB2dnb0\n", "7Nkz/dEf/ZH29vY0NDSk0dFRzczMaHJysqVMePaIoy+cQHrUydQ06ul90ZhYmRJ15pJBAiEyN5WI\n", "hSC9VyonqZx1nmuD/p7tpOLOdrwU4OdLyibDuP6cTEsmZdulZbH0dPhZr7GU6MAdJbmN156r389l\n", "Q4NgCx+BCNdqO51OKzqTS3Gkgz0O0sn/cx4GBy/vTjFQt2xx/t0+z9ow75WUnQs970zuveniqIP7\n", "5EjW1NSU7ty5o3v37unOnTsaHBxsDkE7Pz9v5WkYaJdoTR4zIBkeHlZdX+S8vXr1Sp9//rm++93v\n", "anl5Wefn503+mfUco7QDAwOtyBuvzfCzuS5fAhYlgGJeKIGSjIL4sxKYoD7wswmYybslQEvPvxQN\n", "8fOU6dRJ3obvkoaX8pVy4z6ko1ByKHrpEv9O5yN1VKl+f2d5ZLtc0iZo47Jq6tUEeBmZvQ4cct7z\n", "NyMa1FGmnXmV/cg8OevDjAi7jbTNkq7I3XXlrQMSXyxFQHJ0dKQ7d+7o7t27unPnTnPJ3dnZWXNV\n", "N70MCieFjQPsdDoN2DDQ6HQ62t/f17Nnz/TJJ59oZmZGs7Ozmp2d1fT0tCYnJ69k0pvYZhIj3tJB\n", "R+xLKRxbEgKGjClAZJhegsXnzJjcpildZWbWT/SeRjTBDwEJDa0Lw/4pxCxk6iylcfpzfpfoOsfr\n", "Hy5JMTkwC8dKJWqlzno8t1wftmEpGRMmxfI7zksaP7dd8qwktXbWON/JY04+ktq3a5I2vZR8zp0N\n", "ByOGXmq8yZJnqhwfH6vT6WhsbEz379/XvXv3NDs7q7OzM7169Ur7+/uthFTKCuVIurpt1MnQw8PD\n", "zTkmKysr+uKLL/Sd73ynodvw8HADSEzzPDGY0Zy6bt/omwa2V3SNz/h/GrYEl2mY+HfqUhoSf09D\n", "z0gsAY/px6gSZSlpa75Ko8q66KCV+LW0hJntcbwlw1xyUkoALIFDAgHSmX3z96Rb6RnrkZy7dG7o\n", "sLKPGbEnkMxomHSZT1ZVF+fx+Kwt6TLKSqBBp8TPUS+mY0X+ZH8sC0xZ6FXeSYTk5OSkuRDLAukb\n", "fQcHB5stwAcHB022PJW6B+aQGD1G56dMTExoamqqOdxse3tb6+vrev78uTY3N3Xr1q3mYDSfSWIC\n", "eveCmcg5Lp44Mh9RbRoO6XIJgIYlhSwnzc+UDhkqAQUzcsmTka4KTgI6P9MrclHyjNiX0jIN0blp\n", "xZ8M5bJtRoNMWypCjt1tm84lxc13S6DR/ct+kr6cpzybg15gSTlXVXVlOza9V4Ilzrc9rBKd/Ns7\n", "Svw/cylKIMl9Zl97GT3+ncD0fYmQnJ2daXd3t1nW9XUQMzMzzVHuvo7CkdbcKkzQSr4zmOB9V5K0\n", "urqq+fl5PXjwQKurqzo5OWnyRPLyRc+96/PcOOKSDkCv5MzMW6KeKM0bi50z6aouoBPHZfBeYN8l\n", "naeSMWIpjYntJF9l3clvCYRKQI11EKSR3yn3lO+S80CgRT3lwlxD0pbggWkGlOXsb8qn27ZtStvD\n", "+Uu+IE1IR7bpenvpETpqOacJIFl/iSc5vl486/LWAcnt27d1eHionZ0dHRwc6Pz8vLUdd2hoqNkC\n", "7OiJ76zh6ag22Jx4K5fbt29rfHy82TUzOjqqxcVFPX78WE+fPtXW1taVnTcJSLxEI10yq/swMDCg\n", "4+PjVjIuPQoXhmNPTk6as0mkdhJkaeIYjszv3T8qsV6TX1JY2W4KKespgZISICkpsARPqVxKAI3C\n", "Q5CZSXIWRs5TabnK75N2Vgr0Nlxfr8gE/05g1guQuE91fbHz5ujoqBkfgYJ3mjEEmtETgji2SUVi\n", "hcUD4nJe2e9UODl3SQP25X0AJLdv39bJyYkODg4kXcynZToBiWVVujwu3jS0nEpq3aPU6Vye8OrI\n", "bl1fXDPxgx/8QA8ePGiSWL1Ew0gIQQ6jrPYSednedYDEzpd/6KX7+zc5NynbfJ75JGy/FC3wuyzZ\n", "dgmQXFeyH+mgkP9yzNQvBBypbyhzye+ug7vt0ukwIHTxHDBXzJ+XwHuOL0FTjsn9Kjk2h4eHDd3M\n", "Uwa75l9G21KPsLBNn0NCR8m0L+kI9yGjXckjOUclW9CrvJOk1tPT0+bUVSegOZH09PRUBwcH2tnZ\n", "acLSZoZUpDnxDo2OjY01kQ9HOLa3t7WysqJXr17p5OREY2NjGh4ebkK3ZlYizyxkzNKhMS4pIA5P\n", "+Tu+53FQWfE5f5beCd+lkqH3zWcTZJiOzFuhYU1heZOBLiktfkblkb97KbOkE/uSIcjr+kPAxbpK\n", "/aaXwTwgKmpHTSy45MMScCnNARWlpCuKgJ8xjJuAy/0pKYqSYvfnmRCe/Sspeva7l4y8yzIwMKCj\n", "oyMdHR01wMFyPzY2JklN7oiXTSnrUnnd3XPPnTJuq9vtanl5WfPz83r58qX29vZac5M8T95IY+j+\n", "0LOWeoN6t5F5CXxOavNNlhx3/u+/2X7W7z7S+KdTmHWyvvwpGUnSMnnQJZ0HPp/1pbH356lHSmCQ\n", "n5WiialjXGee7VSSJwJW6pikXcpgCaQlP3B5nXOV85HzSweu1D7bJGjJ3wRkOccEwNeVtw5IpAuP\n", "0Aek2aNx0unBwYG2tra0vb2ts7Oz5jwQE5XI1IbBRHHOyPj4uCYmJjQyMqLj42Ntbm5qc3OzOdPE\n", "a8FeM6MBScXtz1ksyJnEmAAp309DxXsGmKfgHxomApYULhozJ1imonD7VFRew2OSJvuZpQRIiN7p\n", "pacw0PvKCEkJVJAenuMMl1KAPN6kietjRI3vliIO7oeNBaNg9Db8vBNic46pqBwpY/scEz1fnqJq\n", "Lz35seS9WJGkp+lxuk0qh1xe8BgyFyH57k13ULyr4jENDg5qYmJC09PTGh8fb3I9ut1u4/w4B4Y8\n", "SRkh3XyomvWPdHF3zsbGhpaWlrS8vKytrS2dnJy0TlVNw1gy7tLVXCfzG734XsYp6zIdfC4Szzvx\n", "s+lp09D7GfMQjTSNUPaDckcQn/0s6Y2MyJAWmYwutXcQsu5Musz+uk5GDzNilIDP77tOtkcaGmSy\n", "uA8GJAR91GPUIwRGtCc5Vr9HXUF6mm9pI8kLtAsJREqOG/VN6pESGCTdXHfm3FAnM1rdq7z1wwXm\n", "5uaa0FKn02mWVuyFeG+/74FwFIMEsSHPK+AdHbGHdOvWLR0cHGh5eVnr6+vqdruNAZ6cnGxOWUwP\n", "5zpQUte1njx5Ikkt4SmFx2m4/C7/56RyjdjPUjGUCo036ZPMZlp5Hf3s7Exzc3NXwnLX9bsUjaCA\n", "pvdJBePPKcgcW3op0tWbmz3X/nn69Gkz76RbKhKCj5IHy+et4HJJp1e9ecR2AoQERBnSfPr0aaOQ\n", "86hwKigvFZboS28480XSuzMdDw8PWweEkU5un0CsF7C56fLkyZOmv0NDQ5qcnGy27lsx7+/va39/\n", "X3Vdt6KhnhuCQBoIOzcGMaenp1pfX9fc3JxevnypV69eqdvtNkCHSZ40WmmQ/Yx0wQOLi4sND/fS\n", "JVlKdZof01ny86WIV+mHICN1gOlkfXJ6eqovvviiKAOlfiZvlzxoGsXkZdKH8lv6SV1CsE65PTs7\n", "06efftoy+Ox76hHKQz7P+c/5uE4/p5PNvpcAUYLV8/Nzff/735fU3llI0GI6lEAv9UT+XwLC1iNH\n", "R0etZS6Oj0CJ569kPTceIXn8+LF+4Rd+QQMDFzsE7t69q7t372poaEh7e3uNsqRioLfsNXMKmT38\n", "8fHxRiENDAyo2+3q0aNH+v73v9/cFHznzh1NTExocnKytXvHP5KKOQYk7uPHj/X1r3/9CuIjEuV3\n", "PIxKulyn5mSkB+H209uiV8FTIKVLoTHTsa70ml+8eKFvfvObV6IYbiOXfVLhlICJ6ydTpkB4XBRE\n", "086lJNAGpa5jYWFB3/rWt64YXbfJ95nRncqZ/UgPgcXfeW49Jiop94NgyoaOOQyuf35+Xh9//HEr\n", "HyiNP+cwPXqCkrquWwC9NC7LkZcvTFPzZ0b9crmUyb2MqN1Uefjwoe7fv6/bt29rcnJS9+7d0927\n", "d3Xr1q0rBy7SuyTwSyDiHXYjIyMaGxtTp9NpdtR89tln+s53vtPkjYyMjLQOTvO7vnKCMkFDKl0C\n", "iIWFBX3ta1+7YtgSVGTEk6DRoN0lDQLrSkNu+TA/kL/5HQv13aNHj/RzP/dzLdn2+BJklECDP/f4\n", "yGdui+CRPO+6qROzj6SZx5OA4rPPPtMv//Ivt4xy6gl/Tp2VdE5HIgEl+57OQzpHklrgwe3yqgiC\n", "hs8++0y/+Iu/WLQfpg31SOrfjNoQpHNMpF3qRNs48hl5vwSUSstDLG9dy1hpDgxcHu189+5dHR4e\n", "am9vTwcHB63jvdNTZuKOCekD0MbGxjQzM9PcdWNA8u1vf1tTU1P62te+pjt37mh8fFzj4+MtQfTZ\n", "I15OsrA4POaJotJPo5+ok2NOxVdieDI3oy+pgEybvPXYE20jUkKlFAYvBbi4Dddvo8PPXQfrJFBJ\n", "pcDoBBVsyTNKhUADToVqJjcQY9SFYISKypExKthUIhQyFrZZCoezLukSyLofTlr1chp3PCSgSUDi\n", "32lEOJdU2FzC5LhSObkfVHamNX+nM+DIyvsASNznBCSSdHBwUAQkVPCeH0mNcvS5Lr4Dx/pgdXVV\n", "n332mX7/93+/dd8VE2QtU4722pO8DpBQptK5Ic8TkBCQUi5ZKJeliA3nnKCKGwesh3rJezpgUvm2\n", "XX6W/TV/ejzUgRx7yhb1LN9xSYeQMkywkEaVfU8A6Lp4mWU6rCV5zkKbRj3CesizBM+OdJMGHjcd\n", "3F6OTWlMBBkEKlx6pw6xg3cdICHPEPxRJ3o+ryvv5Oh4CokN6vHx8RVm5aRy4sh4fs6EYUjWIduN\n", "jY3GCPAIaBogLimwXv5O4ODvqAxSgfD50s91pcTUpF8a0OtCcNfVz35KaimHHG/+n2OhMOZ37Fuv\n", "91NAkwdKY8s5SAWRz/ZSBEmbXjTL9/k75z9BT6kQYNAw5ZhYR/JcKp3sF8fUS644fzkWgpyUk5sq\n", "6ZRYlzAkX5LN0rj5DBUwI1zdblfr6+uanp6+cmkeZZHzmHWz7734IfuaYIV1lOaZc5gy1EtW00hf\n", "93NdX0tyxehP9jPHU6q79N117ZV0Cf9PHd+LxiWQkDkv19H/Ohmh3ua8JKii7FEH9Ko79VDShc5N\n", "LxtU0onUx0nLN8lT0sPtl2TkCp3eZCR/nFJV1durvF/6pV/eeanr+kaQSV+X9Eu//P+n9NIjbxWQ\n", "9Eu/9Eu/9Eu/9Eu/fJVy81d49ku/9Eu/9Eu/9MtPfekDkn7pl37pl37pl3658dIHJP3SL/3SL/3S\n", "L/1y4+WtAZKqqv5CVVVfVlX1qKqqv/W22vlJlqqqvl5V1e9XVfV5VVWfVVX1H7z+fLaqqt+rquph\n", "VVX/Z1VV0zfd1zeVqqoGqqr6Z1VV/c7r/z+oMVRVNV1V1T+squqLqqoeVFX1r35IY6iq6jdf89EP\n", "qqr6n6uquv0h9f99Kn1dcrOlr0tutvw06ZK3AkiqqhqQ9F9L+guS/gVJ/25VVT//Ntr6CZcTSf9h\n", "Xde/IOnPSvrrr/v9G5J+r67rPy3p/379//te/oakB5KctfyhjeG/kvS/13X985L+JUlf6gMZQ1VV\n", "H0v6a5J+qa7rf1HSgKS/rA+k/+9T6euS96L0dckNlZ86XXLdmRl/3B9Jf07S7+L/35D0G2+jrbf5\n", "I+m3Jf2qLhj4/uvPfkbSlzfdtzf0+5+X9H9J+tcl/c7rzz6YMUiakvS08PkHMQZJs5J+KGlGF2f9\n", "/I6kf/ND6f/79NPXJTfe774uudn+/1Tpkre1ZPPPSXqB/xdef/bBlNfI9F+R9Ie6mPiV11+tSLp/\n", "Q936quW/lPQfS+JJTB/SGP6kpFdVVf0PVVV9r6qq/66qqjF9IGOo63pD0t+W9FzSoqStuq5/Tx9I\n", "/9+z0tclN1v6uuQGy0+bLnlbgOSDPtykqqpxSf+bpL9R1/Uuv6svIOl7O76qqv5tSat1Xf8zScXD\n", "Z973MejCE/glSf9NXde/JGlPEZJ8n8dQVdWfkvQ3JX0s6WuSxquq+jU+8z73/z0rHzSN+rrkxktf\n", "l3xA5W0BkpeSvo7/v64Lz+a9L1VVDelCgfy9uq5/+/XHK1VV/czr7/+EpNWb6t9XKP+apL9YVdWc\n", "pP9F0r9RVdXf04c1hgVJC3Vd/9PX//9DXSiV5Q9kDH9G0j+p63q9rutTSf9IF0sPH0r/36fS1yU3\n", "V/q65ObLT5UueVuA5BNJP1tV1cdVVd2S9O9I+sdvqa2fWKmqqpL0dyU9qOv67+Crfyzp11///eu6\n", "WA9+L0td1/9pXddfr+v6T+oi+en/qev639OHNYZlSS+qqvrTrz/6VUmf62L99EMYw5eS/mxVVSOv\n", "eepXdZEU+KH0/30qfV1yQ6WvS96L8lOlS97a0fFVVf1bkv6OLrKC/25d1//5W2noJ1iqqvoVSd+W\n", "9H1dhsB+U9J3JP0DSd+Q9EzSX6rreusm+vijlKqq/ryk/6iu679YVdWsPqAxVFX1L0v67yXdkvRE\n", "0l/RBS99EGOoquo/0YWiOJf0PUl/VdKEPpD+v0+lr0tuvvR1yc2VnyZd0r/Lpl/6pV/6pV/6pV9u\n", "vPRPau2XfumXfumXfumXGy99QNIv/dIv/dIv/dIvN176gKRf+qVf+qVf+qVfbrz0AUm/9Eu/9Eu/\n", "9Eu/3HjpA5J+6Zd+6Zd+6Zd+ufHSByT90i/90i/90i/9cuOlD0j6pV/6pV/6pV/65cbL/wdOao/9\n", "A8SU8AAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Blurring and Sharpening the Lena by convolution\n", "\n", "from scipy import signal\n", "from scipy import misc\n", "\n", "filter_size = 3\n", "filter_blur = np.ones((filter_size, filter_size)) / filter_size**2\n", "lena = misc.lena()\n", "\n", "blurred = signal.convolve2d(lena, filter_blur, boundary='symm', mode='same')\n", "\n", "fig, ax = plt.subplots(2, 2, figsize=(8, 8))\n", "ax[0, 0].imshow(lena[200:300, 200:300], cmap='gray')\n", "ax[0, 0].set_title('Original Lena')\n", "ax[0, 1].imshow(blurred[200:300, 200:300], cmap='gray')\n", "ax[0, 1].set_title('Blurred Lena')\n", "ax[1, 0].imshow((lena - blurred)[200:300, 200:300], cmap='gray')\n", "ax[1, 0].set_title('Lena $-$ Blurred Lena')\n", "ax[1, 1].imshow(((lena - blurred)*3 + blurred)[200:300, 200:300], cmap='gray')\n", "ax[1, 1].set_title('$3\\cdot$(Lena $-$ Blurred Lena) + Blurred Lena')\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "* For big matrices $\\mathcal{O}(n^2)$ is very time-consuming\n", "* Can be better for special types of matrices" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }