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@pilipolio
Created July 17, 2013 07:32
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pca
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{
"metadata": {
"name": "pca"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Probabilistic PCA\n",
"\n",
"$$ t = \\mu + \\mathbf{W} x + \\epsilon$$\n",
"\n",
"- $ \\mathbf{W} \\in \\mathcal{M}_{d,q}$\n",
"- $ x \\in \\mathbb{R} ^ q \\sim \\mathcal{N}(0, \\mathbf{I} _ q)$\n",
"- $ \\mu \\in \\mathbb{R} ^ d$\n",
"- $ t \\in \\mathbb{R} ^ d$ with $d < q$\n",
"- $ t \\in \\mathbb{R} ^ d \\sim \\mathcal{N}(0, \\sigma^2 \\mathbf{I} _ d)$ \n",
"\n",
"$$ t \\sim \\mathcal{N}( \\mu, \\mathbf{W} \\mathbf{W}^t + \\sigma^2 \\mathbf{I} _ d) $$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"np.linalg.eigh("
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%load_ext rmagic\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%R\n",
"library(ade4)\n",
"data(deug)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%R names(deug)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 11,
"text": [
"array(['tab', 'result', 'cent'], \n",
" dtype='|S6')"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%R\n",
"par(mfrow = c(2, 4), mar = c(2, 0, 2, 0) + 0.1)\n",
"for (i in 1:8) {\n",
" plot(density(deug$tab[, i]), xlim = c(0, 2 * deug$cent[i]), main = colnames(deug$tab)[i], yaxt = \"n\", bty = \"n\")\n",
" rug(deug$tab[, i], col = \"blue\")\n",
" abline(v = deug$cent[i], col = \"red\")\n",
"}"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
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mflcEcA0a3ylj2h1mAxexWJyWlobjCiFGUlKSkkG/8sorb7/99oIFCxwdHf/z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\nHGaHwWAwDAULNAaDwTCU/wdEKhl1KYeoawAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%R\n",
"plot(deug$tab[, 1:8], pch = 19, col = rgb(0, 0, 0, 0.3))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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j4L/sQM7yYy1ZahFY6HPTSVwWauS1n812+SPZbHMwGTreorAhedAfJ0uNCyf0\n78PHB6BuCQ0166Qhqm7MAPhdDJCckGnnee7hjaN22sUvrgNp5cxlcJkuJBaHXDjgcfJC32c5PR2v\n/Kdt4NvSWrgcFsA9z8senbM6dXi/m8/9og+NccAt8pzH8Kjn6hgkk/ulrfSFDKHx2cghcs/0OinT\nTx+Lrjhz3u0+Htj1nCUvJGUZQNJrJB7vetwH8ZVUGOafVfBP6YcP4UDa0/8hjw7jT+R3uDUX/8fz\n/qIYe2tcIdscY4At/yh6B76LpjgWdrd3Fl7KJ9fEQSrgUWEEjPQPygP72/vBnvyLJWB1MpDKuvSY\nm1fllxYHzVPufaDPtcwgOu1+DLBBUTl1kEZ6EosPTkTABpemWOBWEeOJuEz4v8/Na6N8gjSJjKL2\nHvDLgzwAAlzOkhckA06sQ+KB4Jd3i/pA0mdKm0eqQhT1grf/lzw6yNLjn32j6IufsxOCfbc9Btgk\nIAfbMVIUgGROWIuGW7cxYQDcftpS/9HYb/0ELKEHZBbubrMPjlh4NoFNKAz9mzEGWCY7hebq2J2H\nJVBgDxcGIL8wnmZCju+D+Vgk/OYXpmZf8sEcovXUDIC7kNj8wWYUpgSdncZcK/53ajANcFsUPHlN\n7Osjss8xBtgsmuxa1sfqrT84xPCVAfDbhMwceqWZ1MfGPssdcGlGVlol1JDSG1PoAMvDN0AV4tjZ\nWW5ogktXKPlgb6KWfg5LV8ilDA+0R9CVTJX/PcCDyOuxzzglBxlqsE8KqpdLylFhANyNTolgVppZ\nhDvgd8Ep2Hbmg2OAd6dETyjexASXrlDkWex15OA4a5OGkMmxzCP6/z3AYO+rRuq73lPTzFq76JQs\nQi3Z8+hTDcvTZhTGYdK3mvek4YbXg9xycAf8kVDI2n2MATatZbps0rsadgtGuAMeqqujb4eIja/6\nOCw+ax21kvS9esvcTPwPAh6VPmRyFPPsE5v54FZsciD3YCOsXpWF8Ul5HLoAsnAF3BycjGF9pbj4\nRb+MSEax9vPjAM5PSMhnOcgOcAMu2b+DJSVN/ocBd9y5nMHSpbABXJ4BULx5Osqes3mMID1g/aeV\ncM0dhvTsEC6rsOggmf/9tJXpx9JMIJXVRYIRcF956VglJ4z5odMLF8CdZcVIAAhkNpHTATZ6Wkmt\n4IU5QPIr5oSjQtGiJxai6OcCHkEmmiKuP2XJwQL4TSQ+ErYdDCMz0phNjhQZA7w7M5ls3MrNuIXg\nFtZ3DLARJjOgi/HHVzH4sGbmHEyAC1Nuokd1sLLkHCzzelWQG+ARZEaqbWYmgqWDGgMsm3mN2t1W\nxefgmN/BMfnfrcHdIUCCUynLO8wKmFRbVAs/iW84AMCwpTYGWI6qZnaVlnCwnVJkDLBJDIMVERZi\nddFrVt2AETCk9EZ8ov00WFHE+kJwA9wdDAA+BU9ZG94xwAqjCvNwVVEDS8JR+bEeHeMLZ8DEvGuJ\nBWxycFzhzykDPWCplGhWsxUboavBfilo9g0/kzACLolPRg5xSw5yAwzfCmsHDNIDlk6JrpjIZd37\noR4d4wuXPrjvdR07TZdzCIe+1/XsVeMxwEdrWdRMtjIG2CKvtpNbylFhBDzc8Grc14JLH9zP/t7p\nAJvWNk7oThgAT7pHx/hCB5hYjirmOnahCHvANcgCzg+U6/rgwWJUOUvDRa9FN+USvjD/zkYYAL9E\nFvZxTQ0LA+DeAuS4o3NOMTrY3gJVGAD/3wZhaYwGkieg7bEF3I4DMorZJoeFK+CK60AUi4pLB/gl\nBp+FHP+yGAC3hsF2/vGEAXBJOoD7yC01WdgDfpEMRDdyyHFvNqNHx/9hEBZauJpxhC3g5niAZdJ+\nTLgCLs4GrtcyH6QD/DwMANBcdROK0AN+m0hd9cdVGADn44F4TpDGhD3gEna3QBWGKDvjyL8AfEJ1\n3PhhFFlHUy9bBbXFJLeqj59DzZpWyPGxQo6I7dh2iGOWtbR4Oy2CrD+qb5UU02Y+eMiWVoi1quIO\niYMTuJO1NGNL8xo9HTHJbWrj5lAdnZu1VNM7tG2HmM64WdZQ55jAxrXj3QKtEAc6LDoH1NTUQI7y\nLwB3TigKGiRjw4e3DS8LKiaSpZtdIbUFzyZWCKtUFLzkWsjrwqcTuax3o4W8aWioKXg+gSyjWkMH\n9OVZQe2/LGScW2AuBJLyQJCb/AvAU/I/KUTuRvspwL+4TAH+xWUK8C8uU4B/cZkC/IvLFOBfXP4F\n4J4JjLaIQvoAACAASURBVALJMjZEfTfRLN0/tZDuieYYG6I2TzRLz08tZFIB2xkcH0espBX3mBw/\nLkIz8LVuGC8HVYxGY9PYGnJMZLJHUdpy9NtG2nNpEeaUQVdOQYfu69FRA5/N0Qkkh0W4hZrj3UbG\nH6x1FPaxfRyGo+YyKyOOd3L8uB5Ulg318wbazH6TCPwVfojGXLJCYsBtKcN/D3h8W/Tra2SHde7x\notnJhCK+F2UDyWOXME60WUhG0AAQQue4MU44YXJyJpcfjj5Z7JxZyTLRiO8AEEqb+mcT6Y79FPio\n/CBb9PiAmyOBlOc/DHB5Cv0U0fiAQUQ2Hk3n5jxeQHCm5LBwBNyFxWeynXmYoNssMhuPoc09MgFu\niQDSmP1kmeTnAq4vrKbNUhMrEMX9PwBwC3ndSH8xonxsPpwb4J6yYth5pz3vCb1XzXiAoeTkR933\nrIhm/ePsVVmPILDxenxX9MdoQm6AG+5efzT6MxNgUiW8OoUqrUXPWR2cfi7gd6H4WKZprckG3IXJ\nZnXU4waYkHGLjW/NuHs2UKUgLRtNfaoT2JSDXr5icwK0aF+4AH4PPbMxTwAuju/kJT+s+X8q4GrW\nGd/JBkyJ2sgkXAAT6Xu4MZkoYDrfun8JuCkeiKYPhMZJalKA7DFXBi6AW6PZdvU/FfDngBRc0zD1\njR8c7B+efMB9qJToSsrp4X9QYz3MvQYXxyfnDfcSaQuNSL3kuf2JAR7qL41LRvZ1k+9oAoBJvZRu\no38IDhCb4HWE9gNHwKTedkwKjuwI0A+/hlwADyCvRxZTL58m0BP4uX3wl5q2FhSmDL6IOvQpd9T7\nye+DeyjrRl6h0ffQ6FfgMwyqhSvgkYbX3/KxyEq0P+zL3kvAEmCFZkKAm9CY529fvbl4+HQZuxAO\nLDJIwCJh1bsCg2oCiY/c7cY2xuIAeAC6nHc15KHRs0PqN7jvm9T75JxfApZAt1qrDu1fO/mA26Mg\n2ckhOGJHay7+pt8HEBxGp9ha3UL9IC16oMkXSFHKAvzbQgE8ijPgwQ/w46gJTk93AgAs9LkyBUiB\n98waF3Dfh/7+izeBoG8gCulhi/7CHfC3D8Pg0IfyJCDjGaQmBMO7sLREA5EMgdDYSW0ykPaUfI1D\n+1099Ou5AB5p7UTiw8xTb1QOfKDq3PBgDvNy0gG3ZkCy4i/2F+zvi06wOHqph/T+QqKtVSbyxwDu\nRoSq+Vttck/zbw29EevFEXCPl59XGzh4StcoDAbcAwG+AaTA7+Z4gL+gojxdVE1vBHeBSKOTFujP\n3AAPFF4OR3R5+TkFARllNMDvJwK4JhlIcopEfyQ1nhHe56z/miNgYnNWKNYNAnzjRiEiEtXe3tQH\nVyIIcNWPaaJF7rE97GdmKb3fPCD2/j84H9WTbqjmyQFMev+aEoqwsY7cHVZiowNkDQ7uVCoh/amh\nd76DE+AyQydL/Nt/NHW2q5egrwBQJ9eTG5QLV5jxAD/PyLFU1ttjX9pY90xBfN+f3Jro4dwLJ3Bx\nD/ScLC5evNg5WP8m/8L5OnCkINB11IMVygvdA+tiqf5crI1HaNzT8kuSiqt2JrKE9Ac7X1PsZ2Uo\nMyT+PAqJu5D5JzYjMys4HtEP1ydM1Q/qg9kCJjV5yW4SXn/ad/d57WAgsnnSlKzasGR094eK9397\nep6COixiuJaNV5yfoxaqFnyalp1SwwYwqamivTtOw0LXMfrKQS1Z4/zaQPIaPepycC6ASe8q3tUA\nsf5iu7aJaGf5+jolZqRx2LvwQwX8+D9GYs6Zh9228Dip4XXlts+VmMhoRBpU5ftf0Rs6qsOv0a1A\n7Hv5+CnsxEf6x15ESecOwk3qoF0oyNIHd6GTQ2Fth4hOsdZwTqu5Y+J8+rS1eUISQFlvM/TDlCx2\ngGsCzPYsmL1CR3HLTi13EzyWXOkmBXA+dD8pLhG+SkYS+2xKSOV6Zjttm9CS1rrPwaokIIrdvkm1\nkelozwtrl6zf6JSwc80elYBHDGv0uABuCEt3Cgu1Flc8sGC17DoDR2U0kAS36qyA3wen46CD3QFp\nvg5lD/SVlKRPakvJy3jrhDiw7tlAAICEUbdZYm6ImXdw/tO6YUeD1XxyqdFWUius4j+xAK6nbcqB\nzLJZcWSb0eY1KiI+2CN/EtJSXR9T5ksmDTCj5zAbwO+dDmxbsmzeSkUZJyUl97jct+SjkwL42bUc\n93NnDI9rSkis0rtaRzAw03ck5WERqGpw6Fku253PCvDp7mZqsrzLNooh5Q6aW3m8iM/Bja0y5gK4\nEGG/F2Und0TMdOlhqZWqipr/5D6DLSWsgCvSgZtwrIKm3KLq2AuaUjKSigdVFQ87KdqaerPs2VCW\nnBM4uoCiOzjI3SrwOOLSHR0lAYE9gV7+Llrnb6D7mAF/9EReJZt1vubrOTrwSy1epLTGKhXzrbfI\nFpeWR044SYCZVzWxAVx18OCm2csERTUvH7IwzaEZVycF8NCLwlvxFnu1VaQ3y+9MelqlbqbhSnrl\n7+NEXT7OBnBN6HEVhR0S8xeI7HS8G4082cq4Ro8L4DvbtcUOSOx3VUo0Mtwqe3CPDdUmzQq4OTQz\n/C38oefvw1o2R2Vs9muaqjkejHY/q3cF+4UJ8OCLojFNi4gMPeZrZ+xhrHdQQmibQXrR9QzVLCCK\nJZxwqxcGQbXbZVqZLlVax79J1je6Bex5oB4OBJDXAU0SYOZVTSyA21EXJZW3rZHUtD+b7un9DwJB\ntvyShidHi25AuCC9lLBuYob7L4Y0dXsEJgUM9LoFxCEo8VlYAA+BxJuHThnvMRZZterQ49LTicyr\nO7kAJuhaW1ma79DGFpz1C3A2Vb/SQ7F0sumDm8ooW2vePyujZHZAXlzBrIaQkv8pJCfSGW4suEw2\ndD+/W3DD3OXAoXNHDrjsd6l+ceP4+TgkS7TZ0Sb6W9HV0IBDW6WULa8BKBJYnI40w1EmOCYJMPOq\nJhbAqBzAbPdemfBztyMBAIG6eRMFaVjvvDGatHhHNMC7GGLtjQUTD/mT+oEN4H4MkOP+zFptuzc6\nteo9SMqPj3v8D8IxPQNDsZoxAe7JxRAGH/g7WCbfkN24B5kTQY6q3UdvqecC+L2jhX5U5LF9l2KB\na1Vu4Rm4PzG5cHfHeZj0XG/fHpkTqfa+YUhIjWq/Y3s+gjwFNM5sUvslb8sjpy3Sjh+xsD5zJAh3\n8xtLH9yNuoaD2p3uXJcr2fF/B125kGSnHZg/Aiklmb6PKQv5JgkwXZzadvI4+C5TAhQAaOJikGWf\nP96JDql0tbJyHQBrHC1wMjT7OBUwOUb8mOBYo92x27swGADQ70O8jqOTH8LVaaSx4qwR0tNE34Gy\nrp4JcHkqkJR6WtPNvQsZaWxyMysWrgYVARi6eRAugKu9HLPLMCek5dQy0ioqQ6PT4oE0uKflCPgL\nzl3hkHIRCXoEuA7whYOErsMD8j1yBtz/CaLTc/nSOQ+E90eV8+bLVWxtUuAIWCx7FzbAk1ll6YEO\nUdez04HQM2aHbYIQXQ1BMUhqzzFJgOni1L6HLVn8FEMH8cNHKq5abJj9tUTMS/wZp8zPQ6ePG+vn\ndfijLh6TpgXuogImx4iPOaGnQyIHhcdlH2kF9z4+rJKKu50P/Q+yA9zz/lFoUGVLdLqp3SHM2Zv3\nO1s+l+BOn/J0S0DHvoTLZwL8PAO4ss/U1fr9CDoHdQRZ+8TT4U4XNhNjPxY9jTPgYX8A8Ht+dKvQ\nIcVL3iVxUJORDNyEKyRHwJ/D/LcKB/S+uu7il/SuD3taXlKP8vpzBPwZFYHoJj4Ox6eVtHRVGchK\nbnKW32/7FuRgquy8c+O6vteZrJOh9vpq0hs9ou8NfWmhLcSdJMDMcWopTTQpPzKMFkTv25e7WtpH\nQjc5X1DrG0YnmFikElAJ5ppqNKM1FTA5RnyMM2hdRQ4Kj8tOjK21vnirOwV3G/4fZAP4MzoW1dAF\njhQE+d1ITxY3NTWODs66gTCyCQ11wEbAvSsT4E5EkPbuvfzianU1GExeN/gGczOxDINxNcdS1FgS\nN8AjKODa4QglpZ2C+lgfO+nT+sW5weSw1BwBk0osJA11inAAepf54aeYUyLCypQOjCPgspv4lOpi\nT8uAlEqwKdxGgF9NR94nHm4m2AF+jwlR8f+nLASI+9vPUlhovZiqBzwBSq1ZkwSYOU4tGfDQM4+b\nAJo67z4yhMoMtLqycr2okHtRlceRSADVgEKUMSlZlBjxMamg+3NyUHhcdruO370WezUAdxv+H2QD\nGN4KCY7LQGqrwBgdkrRTXGQXcfKW//3qlOO+6Sk1IHFoDLBhdQOkd418OXRCbJ6YjM9AXw843FOd\nAmTnp8qoRsTBj+8DAllLv8L/yUvG2cR6lJOXsZDiLkmvo3p7pZUN/hnoIgcGYVrhX1c9ZrbAuWqv\nsMUkKW6xPnKy5ISylidFu+cIuPSyqR3gn4nSeND3/pSuyBZhkYCrOL/rDH2waXUD9ckWZQOJz4iv\nkwH8H96OAnxK67Zo+zd1laAJ3eCXl29rJ2sczBinlgy4KNrQPBNBOfAO6R8TfE5mv8jc2UugWuxz\nIT68EiQSmYdJlBjxMTchwOSg8FAfrKw4HPhucDfuNvw/yAbwq3gg/lFpY2PJzVAjI5HFaxcLKcl5\n4+obQlMvXk1Ed7YhMOq0AVCTVEoM+V1wUxdfsm7O0hDwS9ZRtYiridhH18LMfJCwnoXAA9gebjE6\num8dsJLbsuWC9RrpDTwCq+z9KXH5GAE/jb8+6kfwNdpojaytjsq65ct4l9i/CYhDd3wpqx7iDLjk\nioqWm25MzpXy51biK2eLHd5wcoOU2DnUANsYHeUpQGQz2IVKCMSf2b5OYKmYjNlOeSWLnIyn39A3\nIv/6cZYsEhqIP3MH9ofpb//k6qy/57DIan7+ecsFJfZG4h81fSC3IUyAKTHiyYDJQeEhwGgb8N4m\ntWDcbfh/kA3gkbyTXket9E4lHnHQ3CC6frGonLx6XHZJUXZWxOPGb2B+DiBD8/GgRtn5iLc4pLls\n7oJFi2Ou7Jc3MnrY+KUyDYi62/upAyTrQp0MUXbiGQZRxCRPmY26O/fKbVm7eDa/jLA3gCOrcoyA\n0TRPANKnes84HUFTD491m1f/Nl9oSXHls0+96JvXSrjs2ZBsY22o75SMcTm3YNcmXiklEXvplXtc\nGMbBY1F2BopRxR/ef+u6/5fT5U2CqwTWCMitkteXDsouepsIAGk/0FSZfyMDBb/FXQjUwRXzFs9e\nwjeTZ/rvPHOXC6LxedSE44+DLzONuFiVrLve21csmbNabq3Q2pk8C+atlRTarevxqgZnrH/pI3nn\nVxmaG0nT7gxfx4peb/31AoJLZk6bNlNEdNm8Vdv/+tDSgQhDfC0IC3oJqYMhJSSGOFkMsbpJDzWs\nxdcsXcY3ffpv/5k5T2iJC+70Y1ZLVmFKBgrWY0m3j+8+qGQpLiQhMXfGzN9mLp5usu8MoiEaANxy\nsy1oJ2UC3HZSaquOZ6j0kkWyPMt5py9dsnTt7Llzdl/oY4iTlQSrdu35hHbwI8Jxn+0Nz9OSaxdP\nnzmLf/ZKQd4181xQH79iMxOAHwi4t7yM/G5X+Kipr547d9rvc6bN5J3Dv1hcYee5LFQ1OeG4gKN1\nmILJMAEmVSAlZVbNEpg3j09EVIh32uyZer4GJ3XNfRDXvWNhB6EWZOBhWiFN+jnet7wdbY9um7lw\nOc/v06bNWSW4aNn+WNw5h9JPQ1/DANhK8O0rY6S70lawO380yknRBU0JaSHehfNn/vbbtHnzNsjt\n0QxgY4vuryiD266Bu6KHNReuFNlrqLKcb9bMabP4+IyObEfdOWN86iQQMrp/HhPg6hhdNRV9y8N8\nq3bMW8o3R2DZhlUzp88VcbyPUh+LdFcKR7ojInNykMSSWOkDu9fsXiS6fQn/dJ7F01cJzl4kaPkW\nuvfSlzU/YbLh3rFjO+bzzPjtt9lQBeNXFbI6tO1YOhBMVlm/25L1FoffKCs1ewnv9FlLli6cM2ux\nYFaeuYfzvhy8ezRwA9bhR/rptOgXaUnW2Mvyq2fO5pvO89u0JVvEd+rh3ALcrEPegz0BQDZVZWDS\nooszgAiKoXogIPzwyhUyi2fwTv/t9xkLN1if3mlt4fsE5KBFV4ZKywjNWMu/RFZ/5YLZs/gFpYWP\nam40v3QS53OOs09WaYrNWb+zfnvXLxNdL7168exZC1bOnMWzWD0BkKTF7qQ27wNYOODhXa1V6w/O\nmbN2vuLK+dN5+ZbsWikhsNbVj1wzJn82qYNs6Pib7kiFj6HYkln/mcHzn9WrF61xNtuuoKeTBEST\nPVG+F/AzD73ow8rG2hLQjc3iWzx7Du/J6iZP3YPnAQBTiCpgsWR9QmP0k2/GKfHNmMXL8x8eXilN\n/TP5PsgL5nFvYP9WBNUJlglwwWiElK8qapu3zF+hMH/5/N9/n75PzUxCaaulKbyTAFvAZTfdVvPO\nmsM3e5Xe3sXLNkmcdXAS3S6DTdLBZ6rGe+rRkjEB/oC5qBOY7iwtvEkmzPP4XNHtvCvm/TZj/ur4\nsV2oaf13YXR0AckHtXfR3mX8QksEVy7lWSCwUkPCeIWevSdZyZt8wE1kQ8cfdEc6EQFCqpK/zVnA\n466rK3/8UYxX4jlERB55cPGdgLuCbplpuZz1SXEWXr1w5pqNq5R3Rg+BX5p6nobixjzC6cfBXXVX\nIjB5+zev5p2zfPa8pUfh1vUT3tEfweBTzAS4GROBoFiGyuL0ZayU5Y3N/OT4RYXUtUUlzthdSoTj\nX7IF3I4Kk1aRnbdMSdQ0SEnPWOVhRoC+zems1IgIbGXzU46WrM6GV03oVHPdU5FAlKv06q3zLZfP\nmLdZ1j3i4FtqChrgkZaWESIaCJOWEVu3XnO7zLrlEgo2/vHxGFsjiuHpx88Hk1qavjWa7hGezbfU\n8OpxGTOd869LC1s62yjzAN8FuKjxYxCQdbHrSwHizNb1AitFhBabH6ZO6n76NJaF0dDR9fTVbSt5\nwTVCfHMWCV6kmEq7Wxl9o5kNHd2t8Os48rb4zzRvaWtNc/fzT85s3qMg72ElH6l9GQmrGmOAzRrH\nYoP2NWPE5AW2qihnPjXcf1C+OMjyROxlwtNvbZ3j2KKH/IFMzzYE7jjysPhuOWvDJavXStS3GTNN\nFzaSXeyqAzSwV7dobb/iICoocOByIpDxNwrxJ+WOfjzgZxFxhJHnxmLacpL3607uld+qEELnkfc9\ngE0uxyOekj0Uk2yPKRvJakkqa9o6d4OwGYchKCkD4F5knKWasuimi9hT4hslT7KP48nWkjVYeN70\njD0mPOkOOsLv5UnNHcetnextius6mQwdUvGho67qREK04377zXuuhsbJ2J3UaH3tFAtpRZTfuE82\nvEKjX4Mj/6D1d8ka26YmiK4UEWlksmTVBycgyYR7vfCBuketDcyU+fccLMrH5n0b7JpcSxaz0AGG\nRoThr8v/3LFCDBkw1GZ3SEzc5NJYwu8BbBYNxDUPQDi7/KxOy9vvP2jidAtIqiFgcusR/vT7jDAA\nbky4oW3hcSQb4XKYf+06I/bxA9kA7nyCcDzmcQzVQSIByLPKKi7mtqdz3FJGg9aOAVag80DvCMVj\n9oeZHHTEA+fdbI/fu3fe1pt1Yw0WwD0vqvpgz+5cqNavlDXy7ABllTUkypkA5+OBhLfkry2+ljtl\n9J32yO5WiHpG3eUBbCt/TfwJHh2EzBxfvzRltV07LF3q8l0ipBVco8YSflcNDow4XUoifuobQF8P\nPIDZs83JKAoIzU8C0hJyABxdfEnGXVcC0BL7jtm/GvJW3LZkRbQ/m/U8bAGXZObo6LibIIjgG0+D\nHbK6WqfsH4DdH54Xs6xskMWnkdcidH0FO9rQoVYSh446OkThfcOckgJ8gOuj7Rcd4NrPo4PBkdrC\nt0RkSjIcuO9V4nalXUv1r6L7wUhr+0PME/6lN/AhVK2wPQytdURHXk5GM6Sk5Fk7fLqvmPToqp/g\n0dFVSCiNw25fLrZ4/7nzKGfEcU//f8YSfg9giwi3yIh6QgQmH4i/e0panP9UZA6htjY5G60fxrAj\nMGMffNNp95pNhqEEJ9ndK7fHYtkAbsjHm7HkLcoCguMj/4JOW3rTXGClnL5jAPJloOvVm9TFSWOA\n9QnFcMNZFRx6HRfyTyQ6TEPNRt73QXag01HHE8mpo7sUjAE29AjPpykBNXHZuLpgAAjor8zP8Tsg\nIyKxRf1PEtgWF1HEPNnQX0KgTYC1RUTo6+4X2yxp+gCRGeoY/mduYVkSHN7xp3h0dPta6AvNW6er\nbut+3ukR9tS54tGn+l1KFnATSL8bByQ759zIc16zTdYZA2k7vbnu+qFaV0romhRGwGi/gyo79/qd\nOi+/etd+X6bwp3Cuz0H4EHWWvJ+QwQQKhIZQuUX8fNszgLAreHPblAioEnXl+2kxadEjaCBTKwPA\nVEZnWGnv1gspvuxrI6JtoO47GjyADnAsEE0Lt1icDaS8RN5IIdRHA1eP6W+Q2qJwNaQT7CD4NXBZ\n2UAsPGvqvV1UUMfxayiAssg6EpvlicmIAfwyOC6kYZX/3qOj5cxlieVSBqoKLsd9P74Mxxk603Tc\n7wJMCErBPg/FR1hbIHBesgoqMW1gGwJV+U8WkMCw1Rcj4BIf0TVzd3nsS0j3u9bMOI/QDuUmRzaN\nUWPJCw51UZtRUoPyAY0tyhcTfOzMnfRiERD2wkxgF+1VoQImIW4hRPwyUb2vKv6wkVRPJzg4Om1M\nyUGN2T3pAEcBYbRQsw24FEz7V6gPrkgHsIi0CPtDOxUU/unJvwX7oXJZulIdcHGr8A6V2yO5yR7I\nDL1kIOBdRSEOCNZiTshZuHl0uJuepz6JjvuQrPqzi6FTfquqIbdVFnHHMwAx9Cri+HkULTTs942D\nW2uacs/aXVdxOnYx+ZJqPDRUReYAQS8CE1AM2ywwAh4uVhZdK2bu5pPoBx3vGhjuHO3/CNlA8Few\nDxF/RYcubzfL9tHWS4Q2h2HuloeaG8S+6gaHO5EAIE2b0YABk7qGwA9n9bwNzjzwRzbl47QMvEoQ\n0RGngmLyx57LGCSjLHTlEO2JvYduCksYBNv9E708EwNenDgkoxf7xCsbiPjIFnBvD0i+hQ+mW1bx\na18Ce18/f4JKjokugvfTSwsftYeOL1wAeyqGgNSlVG+QkIg44QoYRiqoZHUBRcMnLW8GwW4PE8tE\nmpr5vZasqhQgzsZAU1tTVPMC7KmJAoCwL5/quxmyME3451l6GCuFF3bkIDB1RTivC6EEGkF4NSjU\n4PY1lIwpWQ1lwQFMewegIvTF3YDUypc3yDPRX9C4VP9oFdqACwI8lI9Dt4ElRrbG9wMBPJKAz3Q/\nHZISEpn3tnFk7DwMWnQrGldA64bL04Br0HC+s76jq/4rCRV16qihoZUmhjDMDnA1NigXTb4FVQe5\n3THUBzvS2AQxb1E9aqY/wecKcgVsC3rXG9N9Nw8HYt7Tfe944qAsrWF1g/yl93YAhvbIvxdw5Q0A\nhUBqK1o6eT8mvm8l1WFwhSTmLEyAn/keN0r7SPyKy4p1iQAgxTaJ5lbSgMEVkKsznRZdEQIASLpT\nkj40Iyw8zFQDEd++IcJgZ46STCCprM2Erg9uigOyC8BiA1vN9EAo9zt0aHgWEP7qIx1dkDledA4Q\nSxs/PU8HkseGbzVoDbkjNpa+WcPs+mB4AdKpVPItuFpqKXrVgSPv22iXW5yRdMVg3Cc6KlwAH6n7\n5kjfFpiHApF0m1U1BcbbXtbbp04NVUH6Mtr1fS/gntyga3H4y+72LsH5BTGRpWD3Fxa+zIC7EH73\n+uFgAOYnlS8DWG8gftTa0UPNTQe4EqqDCLqTlURFpx+ywqFboPo29Bl2fSrLgM9Ab6p8Fw1vNVqT\n6GV1+XoAugHs+5wLDdyY93lhAFyYBUTR4vR0IYLy6LqFb588I62kbBy72AEegVqdUylAPPQsmnyu\nPvgGEvNjI2gayNMMwM+Q45NkES6Aa+LBmhN03y1dKauAqVKAByJTnRxzWXca/O7ZJFJfXyEm9/Hp\nkz7NUFXzH2dbHUpe6o6RD/XNkxIxV//EFLPkoh8HV/ujWsZ+GQwAgMAqPzTdAujufPgM9ICJpRhU\nBzjwWBOdGdBFbng/ojAsm6QwAP6KwpSN6gJEpg0zPyANNFFwJAc2TXQjGl2ZT7mFYdhe3hkKjPpJ\nfcvH3LIGJyz/wpJl889r+mBcQFC0V8Hr12zCdOmNAtacYGCvvDHAj6iHoBO/fl3/yi0qwrWeXRbd\nUcDa9IdLL0Xhsl7XN7C5ridjgJ80vK6j+6XONTLS9XVdHUNy+Azao4B1qUcaXrtAaakp61lLeTQG\nOI9tgjGp/xMd7Zvb0KA5Clhv7IrqGuhvofpcVLjr2JU9+DGmykzGaFzHdDT12cfpcqQ11n0nuAf0\nGpMsWiE3mX4w0dQyZ18IreXoZSzEUFPbikMhObRC0pl/MdPSNGWX4yRtNU637egxU00tMy53gqcV\nksYlEUWsj0jp2UCF0Frub7YckzI9BuCHAJ6S/x9lCvAvLlOAf3GZAvyLyxTgX1ymAP/iMgX4F5cp\nwL+4/AvAaZy339PU1KTbo8+INu/TZ8KUTldDS0OX3QmSaYWkjrvVH1WMadaUXmO6o9qampw2/NPT\nG3VPSRnn3DrQ/VAKoVlTuo05JoaK1KL7mkorJHmiOUxo1pRvRtwvSkuT9jmNAQyrof6/A2zzgJPR\nrcIjKjQTNr5RvnI2VT5ARiMfjprqxo6zMVWOJ2xNla/dIiPd6pjPThUGUyUnIWfLDIu6UAl/YDRV\nsk1e7xYZ5TZmVWQ0VbIXt4go91djl8jOVMlGskOiPMsoHxlMlT9jB/AP/rG3ULDrBGWrdc6TDeUZ\nQDrNPl+OQtQ1UpfpTijiO6OwjXTXFwgAWPL6sFIU4ivxfRP9jMMEgpG+RyDgKT0UgEc9g08zTjBS\nr+Q1xgAAIABJREFUYgk69zMGAIJ6wKGmlnFCOIzKiD9574APCGTVh8ZB7sFI6eQvM3NP6JTEd80j\nDD5ZP2MH8GdalhrlYH42EEqePeMMuN0/Hk117PkcCiQ6JGIoTi2TBRgsiI4mx4/4EAlkFZZExRLo\nVrlNADAST45uWRF25QzZa2ccwM0xQGZJcVR0PmkkLzZyIkFYyFISGUMgwWW5Y+OgUiYIOOOYk1Yj\nvK4lJv8VPeCfsQM46lY8pg0k4PER5K1wuUwXdjV1UbuMjxFAsDdlGf8kAoZXfcB/m2OB7DyopuAm\nvikHJPA64mDoAkltF7KAqI/jAn4Tj88uJH54PwJ+pe04PRHAUA7o5UECgNYNIJK9yw7DVVH+5CfH\nh78DB7FQg1FhCDfUVE+D5vNGrhyLmiTABRl4zDew0UXDbjzAIPgJgSI30sRCnDsKiKWcc9IA02To\nicuhHO9b2ajBsWMTqMG1AcFPoaazmnxH3eMC7o/WPEHxK+hH52SSl0dPaFOO4UJ0Xm8dJjg2HS5l\nHMAvkQhyM/cejSMMgyREVjbyrwXwlNJLyu/IP6T2RXIs6rsAD3VQH193SUEz9Cr5pWeR/e44AiZ2\n9IOE7Gw02S+E9K23Mr+S0oROEuAuivre3zEC1oVlpeUWFbbR5eAG+Bu1pvd1Q01nBqKzu6QQ9rUZ\nr4mOSiPHLAW7PtcQismnGA/wUAdUeevjgbTnYH/nOwJcCnfAnUFA+mVyJe5shuvs56LC9nsidAkc\nTYdBPTYZqfIdgHsQoYhO+AMJ/PK8ZujFVV1MyGl48MIJ8BABh/pAyDAzuPC0vB3O1lRODdU5OYDL\nsOeyISWgDYnLG6wNCQ5j2kqCC+BKbGA57TMyXOdAVnU5Wf3jAnj4VXn7m3jyPlGk536HLyJgh432\n8vujW3yxBdwNPbNHGSlJ+Myn4GBeMAqum5wBQ2ccLLgQYqlRCNWDZtdzfwxTjjIAtjyKf6LCpiiq\nfAfg6hRysHOwAum2X+OA3QW8/z6DwDwiZ8BNcUDkCdcT5v7oS2nnLzu7uyPScRSftEkB3B0U5KSh\n4pljfNAI+6bxsJVWKWMOzoCHoN56dDVEwcqFIpKnjezgZTKcAVc560T7f8rDoT42+3l5YM9ZRiaj\nSjr80xDatBRsAVemAqj9p45oaZ54D74+tsP6NsgZcIsf4hVYnHhy6fYA2C00ydFVt4Y8PniSTQ+4\n3cvs7Fs2RVHlOwC/SgJSXkCdaihwQUNKSlU1O1M1DQjq7e+y4gD4fdQtMwzeOTxLLyhbL9hW56Rd\nZgbFlWwSAA91dmMsLuxwROloaBzTafzb0y+lmDEHtzhZeAANu1kRX+S/QAhISywxdrV6CHIB/DXE\n18oe2TTS2U9E4m+pYVyOeoQB0YXxQPROWhK2gGuSgdMmHtbWaXEEEC++f68HyBkwAg8E9KLTbNSs\nTUPy88vtz3uYQq9sSySQGSzCcmKO8h2AhwrQsOduaxRgLLtpq7qTt0tAVHTSQwSOtpyXCTDxddq5\nk2kA6m9VU8149WjL3Q4KzpRVeaTvB9wBtX0vnLR0LYJ1zYwPn2z1sXa2/aON2sNXkEthAkysf0Fb\neAA2IRDwIdLr2FtXLRU2C22SUJKA4xlwBPwp/KyKvOZb6FPjmVi8x1kpZZ3UlKsAKgPJvQYPZp8O\n0DpzyCPC3KU4c+tWCasONoApajO8/V3g0xsBFrKi69MigITrusanusjNID5ow1dIRticn1W+X4se\nKcBdOKqkaASUxScayDruPRQtS9t6jxFwdXQ65nFQ4Itrxghk1uPAY4f1NR2uQI+e9Ax9c9QP9L8F\n/CwDSK4Zrs3w9T/lrnG1pik+4cLxcHklF+jhNeHSQ+BnyAS4KjrdnyEc2nsfe0sfhIOr3H7zCFU9\nfa41mHhjzxbXIOjXtsAA3Uu3HY3iQ09rXYm+XzFOH/wuJB0H3Lznp7L9wP4o421rT6L6mQETS9B5\n5I0AarHBiUnJZzwlFPTPGKFTi19VwCaEIUIoOmkubK98web8rDIJw6T+95/unHC/1AkNevTN5Q4r\nWEjTtBsa4JEX+S+JcAz3pPrW9jofFxffWvBb22U3i0i4iW4LB6JUaSf7bwFXUPzE+1u/fcz5owle\nqXImwmSvg6U3EQ5jSR5uMwEmAEAifVM9fOr0UQNdVcvkwJIvdbFp1+EsHAF3BGEtzkN6VdeLFCAx\n1OHcWbP4J8E5AGo8LboCupZb+S/65G0P78I5qJmEsMaLbo4GMigPsKfL+xb+kpea2zFTC9uztDUH\nxM7+ez+jiW6tgEscfl1ZiTlrpOgT8hAsTQzSM5LXPqSuwRxOuCYOiHoDVsXEn00PxP4ZjzKJfVnZ\nVn7NWSU6FHoK72OA2O8G3EtAFwyBdQHBBbZGGs6PsyobHkcbSp218RkBG0MzYF2OxAS4MjYDQ6vB\npHcVbTVauzaKuJ69HKUajPoEDVTh8QCXJhq45t43+NcFJ+9AFWUdW9cDyCyftKSn4wFu9vU/65vl\ndWn3xt36KY+jdCwce5kBv0mgqObNFa1FZ45eUT2ySVbdGun/CBybVfgZgFuC0kOhMU6Jn/EiGRFJ\n+UPZKHCopsjT3/gkppRJi/6Mcg4C0irBkUcGWsq4bFePML8HiSEb1Q3RMQlwcO1hQuhFXdp5/3st\nGhpCkDzjs2xEdquJaTqpuCHu3bTTOVMFHW0sawJJL9CZxgx5R16XjY6SG8LSr1htX71kvchmh6NR\nQPpzkGLE5txEF+AwDWC5gZtdgOG+HWtFZHc62QQ94xbKkHqe46p6WI+ty8XExc8im09ouaA+MQMe\nyA1Ft4JgXXi6FwKpZXvE4/gOq5WbpUuHwEYUilKNfwbgF2lAZhmpy1lRfJ3wSmEp8SDyEuiRzwNd\nHczDJEJ2knaAPzRAzTx5TtpdVyeoZBCVfXSfjbR5JiXuMPHzq8kxdLxSP6m/X2H77m0WHrt8gMCu\njsqv1F/6G8KBiMMseSHdm6yHlWThDR12CC0TEZSytgsDbtC6N87DJNKXr52dD608TmqI7RReKHVq\n60WPQ/CpxgGcbe9hY7p1m4igjOFffeWXLzpd/sqiZI18hkdsRdlAhK2ju7P8aWPNA0ckxS8ju9H4\nVEqcrJ8B+D0uM6K+KERWbvcigUULN2vRh8VgAozCp6md9eoFwbtW55QFVpqmEcCSeFPJM6r2KFoT\nOUmWLEKixR6F/WJGFvqnRaOBsHeoUBTFtlUf4OUJRLOuD/6ExpFX4ddFpiup7pFat3f3oj2y9zAF\ntBlaLoaOVpSLi6etzm5VpV1im+0DNp2yjyGXxB3wfatzx27uX71gluiRcx1PYy2O3uY0THodnYk9\nJyWJ/NPtyhk7VZk1er51/mhbNXKsn3vCsBY9sef0X/fBzWVvK3XMTpuIrl14UME6md6owAT4DfaC\nDz6lGkJxxU1v9y7p43ng4MtUb/cs8sNvezcyaYALU0IOXz6h8NdLPy0MOqyo8gYQ8zfMj4QCsk9h\nL+iz5IWqSTx5fPTmqY35biWlyxLLpL0el9TQRiBcAOfHOzjGA1bKu+TUFaw0vVOu5UBjmMGmUu6A\nu86fP/9pl+AKXp2T6h9bLgQgejkBJjaUPQ8wMTZ8SxrpBPS36l5U/ctM7XgQeWx/ex6sRXPYaZBJ\nvkeLdtexOOIfs0NyzQ5tnyK6lXMMgIdf5FbkpQDX4Nj67Q8tVVcv3ZEAPfSBVor1tzw0ikBkB7hQ\nQE7MaHSyz300CAZNmAG3EYoa3zqcORhz/Wpvhpn95eIPvS+TI02vIGB7ORxOuKmaXRAWIBa2lvb3\nE5GpyVceeOgckdWS0Dpym0qYFTCxJvcl+ar+CrezjyccOC213KL8c6VPLBK6nwFEjAenSHewjPSM\nDH3+1rVRfcvs1VJGrYjIq/BUBUdTZTvWWE3+yj1CMeGKioq3cWasftRNsn7N1ERPmkcHM2D7o7tX\nSW+TObR4uZaRt8/tetp7zwC4KgEfWp+HIQyAxKLTG1asnbvvnFsr+NofS7ZhwaP5sK9sATuAJLXR\nvezHBdyPTjTeqXA+08PY5++AvXp2ZtcxAaUER2RmLPz4mpHoSrZhlHIxhdBVV2Mwzx64+KY4K60S\nW3NwxXaLc9RVoayA30QC0dAggZioulbF1uf2fqENYqqJ/SVZQEoNOU4Et/2DvyGCEfV/ePobbF7G\nO3uF5C1EBh6+QY6ASdna0hb71l/xFNuwY93+MHz2hUu5ZOM/A+Af6NHhvHPH9Jkb5q0Q2Cyz1lXf\nOJoWZ5ABcFEOcL0WfInMu6covHzOrPnz1eUNWojIYD2KvQuZhcf0cgA8sPdphK1h2yFle5L70YM6\ng+QdH2gJmQB/uSi6eLH4bjf1jfxbzPauVtzoAQABA/kZQDDZwYA4wsFUCWvLQ/5pDmssLmpuWiG8\nePXyRas2STtRHb5YAb8gb4z1yXvpui2LpSLCXDctWSppR6hIBqLfQlUOB+A4RZsdeOCkZ5gUelrH\nMt5Ocj7PYomVi/j2XocfGSfAH5FOCjtFpbYK8E2fu1AQd94/PIeyow8j4B/o0XH3CP/vPDzz567Y\nLMSvsNk4m20Ih7fB19Bf4TkvaWex6XPn8q3feAJT1O24W1HWFn4bvxTkN7Htg6EmWsKNFOFMOp8G\nGhe6+4Nn0sg7PtAS0gEm1RS87LCQnSsgumKzwLJ5s/XED16+5ILGeA92F+VPYGu7YfQ5FaFd6guX\n8cxZtWzrsk3iqrTwoKyAP/rHYD6AyUb8iwTmbzxgp7lt8dytJ4O/lKIr4Ib7UVSAKTiWd/B5wSjl\nJwayEiZGF9Rk5a+qOO/iW7WLR3Tj3AS4Y2MB3FFcBGlQA945Zlray3WF5vw+be4ciRDvT3+Hh1NU\nHQbAk+zRMfS6huppSGrE754/+/dpS6Xmrly9Qny+YhTNgDUG2KC6YeRjfSfYHgEkr9kqMH3GtDny\nhhHX7YKMRBevOfRo9NTsazAkETdBgzdgcLJ7LpiJJO/4QEtIt2fDPZ+c6GfIIyILdyirzJ05g0dA\nKiDNXkFCz4UxKjXnPRvqtFZu3LiWZ87sGUvmbNixUTH+JfWZs+7Z0PvHBYfnAzFO4nN5eNfauG1f\nPG+OwC4zapyGr1g8djQADnlrO/zo1nbXnZRkRDfbmZyQPCSzVXjtVqtFQqtnqv3JZs8GIiIzE0Gs\nQx8ONj+eJLV13owZ02b8P/bOO6yJ7Ovja6UISlNEESuirqiAiHRQkSJFijQFRCz0ptIVREghhN47\niFSBjLvrlt+uK4QiRQSRJlhRVFRE6W2eN5M6aYAr+jzvPnv+UJLMzZ2ZT+a2c+738O2x9AshNEoY\n4s5zulH0c58T3vMY0VGTnoMkLQL8ZHBAfysHD4+YwDIxMdH1O50LyFl9YID3XiOmU+gJOeN1arcQ\nD7eg8GYzlZBzYYVH9m0TP4KgtrfsAZeChCfYotoLBbqXETM+UA6kAd6HOBNVeK8aYW173kxhxQ8/\nLBA77ZoSfsoHFUkvPsA6Z8NU7+tpMERsw3KRZdwreMRX7d6r6X0kB0Ny3zPmbMhBNl1DOVwt/3nv\nZsFNYmt1C/fsWsmxQ+GYbxayjoDmGUMfXAlLTok/tp9H5FS4R8T5K4flt8mfAvSEuLl/VPJnztnQ\nH5gHRAyi8l3Ej9o7nwnZwb1oMadSuDmmVLusNLQBiR8Eb3IfJBhZ0yFBAyV/lT21LwRMHhQR7K2n\nv6qxykaBtRv5uIWEpfafMqVIDsEAKxEVHicC80I1t2yT2MSxiV/ewv2hwzmDI/u0LIxqqF89E+DX\nhw86TXudOmAxQcz4QDmQBlgl29YU+2zow8ey03sEVnAsWrzKBLgSgXbyxdMPL1nnbLibEF836mku\nJXJ4M9/aNTv2719ja2CZesI/DFrmYs7ZUJl22g3rctHCSlVPeedxt227tgtrnNXW08cmEPqCIVRW\nkBGlEkLZtrgscnrZqaGxW1u1NWXSilHpRvLSR9VlD55WWLlcbIdtD2POhiGE1zFM5aSfubSoqd9+\nBSmN7evWHLYuOmWD87tTcT8RWqima6LPTGqATuypfekTXJlHytkA9gQ6WKxfzSezgXPJIsEzOt4y\nir9T7icN8L7inDpw/PqOHQeOGG3Yzi0kzicTVnEvy2qPR8CPCtk0f9dXzYPliuNLG9DYBtwWPqFV\nnAsXL5MwKEz6BXWxgV5NGP4E03I2QIG24aO/KIqKyGxcvX6b+HpxTZczqljLoBTo98qYs6EI9fGO\nymFja9Sp3daakmEh58z5BCQtFHar2OmbXyCc0KdHlfB58HTPI1KC6I+IyIo+FZU9UrdH2t01Dqvs\nE+FbK3pRcdkqKe1ndDkbshvA7qzS5OJxEGcopmahJLtrtZQol+jufVkYR0Rl24cnGQBh5E0H2OBV\n15ARyNa+BHD9qzFqzgZw/NaB5Xwr+VYrcgkt4Q12Mpd1jSJraMIAG9fXP3tdtFNzi7C62YFlPDxL\nN7l59rVm4byuyMhEhtEAfBXgY/UPxpA4IGI3YUDAzcuxjF9XwqPk+cAUYwl4zobaJvJEaAJVVoaY\nei9voSSswCcsyLWU56BHUMk1LU+r3/rxKH044NEnlQ3vwJErERhlzW1r9jgruh6WENi4bIOdl66F\n1i6rAgRzVOXHV6SotfoiIKvZ0cjIfmICFW5rHX6ag3/NktOE5p3bAK50R8zZ8DIeyCMMrpsTVHfu\n3SgiumI530Z+u9S8+wPNibnod4jEsP+hIsVhl3U3ESz4hf19+gLA1j7JiFHay992b1vFvVnyoDD3\nCn7XOleP874spAw/IeKcQuUVDqn4ue9eI8a5ePPF8JGJOvSd09qOJ0NpUelfvZJFABzAz8u9YMka\nQeFjx6IiHFIQ5OTqb+42kLtb2Ci6C58YQw7Af4XHvwEnL6GClTU2CC7hWrl0m9L/JloQNug/8cWA\nLCVKn1B2BJEcTmA2hgGKDpzVkTVyx24wsV4oKsCldjHzcoxvCQ45PMEA+Ak2mSQ631AIZLZgcnPR\nEw9NTE0UslOFxYSFrQy2rBHb+JBxFD3dgoZWjZ67aEme0d/AuZJ7hSC/ZnJT/4dMTHr60/G3XbFF\nAWJzvEnglwFOANJgw7X/7ZXjWci5bd9WDl5x5b9jrE+gO8hBljDAzQGnD1/x2SYe6GqmulVwMTfX\nWkgJpedhYIKN/j3ad3014OdIdNqOZZxcAhuWcMgYG6sbATmktJSjqJJ8ssQiDHBjLDEXC9HGOjvH\nwarzl3+T4hNYupRrscTVRvBlTM5R3/gSYD9lBZZQFmodIU2wdnTQZd+DaipX4uV27Vi6eImQ2RVs\nxVBTGAKHRfUwCKFR0kIMILD4sTY0qutxrPF+o3NeR41WCu1FyixeLLARzwB4+nkbcYRfW1Kqd2Lv\njnWiq/n5t5ml5egp2rraBBM+emBsd2rdHG8S+EWAraKAmLe0lz1n1vMLr1iv4XxIdKNxJuKStENC\nBemewQDfPul/wghzscZR54yGxJalvIKiQSPgo7hcD2SQfQVNoP/r16InW6LUBUW2a6/j27RS/OAe\nMyCZcGdHalB/xwF5AaTOHgb4IQZXiiT9PV2RlYV/EpMTdk9x7bpNPMt4THTjkd2PM6NwaL8EuJRh\nbxxQQBxHToxXe5ictz9oukF8PTf/CpFLjU8QFb0ThM9xeHrAtYVALMklOTUO+UUnwaZ8a0/kgbwA\nSc2NP8or8y7m2PSYAXBbPEL7T8Lwv+laqpHp5j1r14lJKcan4w38baSi/aGJaKWlvTInbBQ9i30B\nYNtCBDEv0ii57/xsp7STb80OP/eVJ2xDHp+UP3ghgjQvgQHuuGKodVIjCoi39jtxKVNg2Zqdvh8m\nq3FATnkgrpSmNTcPzoZfwsPdAwqO8vHJiu51djVC3Cf0wY15QII32sIXTyQMX+h4isCTO+GhSADA\n4kuA3Pg9spvlLXbJbt5yOCj4M6HXzGh8fQLWB0+3IKoJ1zc9NA2+S3eL1NbYIyilKKCoviOiPAiH\nQ0z1MQMerEY8pLyc6qjuhjKBxJ87oWNsJ621da+6/JpN+0zaGRXfMxxcY+rGhz/cdcRGmlgYb1U1\nwLrn3tTyP/djknMlod+pLcxy2TTHmwT+k5WslvCwJ6Q3SvdyLuHfqBTiEJWFfGB5wFiKnLgABvhz\nsqr0MfeE6EupFm4FgfJ8K9ZnRaAr0suiH8EayfkAPOrmcmq9ub22Lq+Quvq+3SQBzbulQPaD8yll\nCcToOtYrWVPI4mJke2qBp96WzRJudjJbdsnq2R59OYCOrBpnsZI1UhlZ+QFVEm1utXnjRmn5Hbss\nFPJydcsAzPh0QwT6FXt3YUcKLu5FBybo14rcFH0tM4WNYtLr1/NpuDFGdNzHuNhdK7x6xKfqYWrB\nKT3FAzYKoT4RpTbaOkWeuUWEgVw/OjJq6xxvEvgPAA9CUqsEMiOvhgL8tgtu33fh5UB9w6f3rqf1\nQslTDxjgR5kYF9ezWPSjuw39eEsFZU2XMKCsvK3m2XR1YgzNgfDVgCda0Qj1Pf6HZX2tAm6HIiNu\nEz/qxSQjhypLgAjiibFZqoTOfqojJ0pL7qh2EdrjlLGSgtmFNyTlQWbAVfG4vD9Db2QbOiiv2+ee\n1H7372AA8IwkZtwdoR9kPeyFxz3WFQN598MAIKw9DUh0OXro4DZ9i+PBcW8/9tJnXRlvcESH+WG9\nbVMeddQ8qrxofUYh0jISSO7s7YJmdGOQJuJv39Lh/5kEeACV5Oyiqb1KUsub1GJ3XPqDsk4MA9yZ\nVRxkZ2roDYWalB/cJWrgFQeUEQc9029gCRi+FvAoIm7/0d3m7gam5ue738ZDbSXRBnvHwP4qFOk7\nZ9yb1IjYK6Pq2Rl04rip3CH3UHIvxAT4vp8NJsntgnGEo4+xmgYAjdSrMrMr3lA1SWGC4AGJSNhM\n/HlUBuYlATB6pBFd//lWQujWYCur8M5HEUx5k8Z7B9AEwMmEFv1hFNpXzS7nQtg1ZAc2wT4jk+Re\n+7YRHQ/Cwwj3pyWv8ORVXzmbo/BxF9lggEf/cj6SmQKUVYNgX17UVbefh+oi0L1MJb4W8LP0jCNq\nZ1XPFLxpIzx79RHoVyxKsAfc2/bhg9qubWp1YF9VZQAu9TKlOCPgybAitGHCtQjdUw+rnLxvE5/Q\nia5HsB1udJL+qTD15c84759HW7y9SZ3y5OPOTnRoaQ+kZs2U+QwEO4OP+FSPQRuV0w2u3G57/az9\nxfUsIKmiizSz/MYhO8RBVmd6iYGhuyoa2kXFaHBvUnMGLuYykF8Pvg6/YpWRQLjiERYB218LuDc+\nTMnWTjkTS/rtjLDUp2UL+ElUTthbTS8fbWJLjiwFwikL1YyApxFlZSENKXYuSciW2FQkfe4AotEg\nmSbQTTqIguCVKcmV1HeIOrKVNwCZFqay4PgIUZsWWWptWxhDmBu9w1w+mUb9OtJa9LeNi56oQ8eY\noa4GluTfYzoQDvjBdeBaMbJiEGzOLwx1vT/NdDDRvhbwdJObq/npYMp2Y9bGFjAxZYY/ysafGIrV\nh0e1U5pWpia6F496OnpbD1uKrMCVpLNw4tBJ+sODahoJgO9HQGknCS+mxyjrbP2VaD32uwvf4rWS\niMmEWrOvI5ypX/dd4qIJdzYeF33Z4CxzgwsHPFgeWd6ODGsBnybgkh8xHUr5qq8eRfeeNQiKwiWy\nznlGMraAW9NwsT2dYRjKI/ESGUb+obCJyWoMR3f/ZXrSrQ9kMraj6AFEZPkQ0REI7U7AltMSFMy4\nffQZCltPeCr+PGqNpsU1fnvAH/Dlz8DpzppfMorzZm6iwenhKQQO8P+tor6mjWl5mGJfDbjV9Upu\n1q817TOFJ7EFPPmwpgscrw69Rz4/JA6IIfmLaYCNkZWwnBGEXupOBAb5EmQy9lGV0LC8v64O+uJH\nmUAhFMvxEV8+U1odok10lOP7P0ckhXnQ+p1vH5NFCrQBwfYcoGDmJhqqHwnkH80rrmQ6jmZfC/h1\nbKRbeA7rjHZUm3mH/8MsIJVcNwSYNMSnAVYEiqrpjq8spaVFgtmcdvh3ZgGF0CJoZfEsaXUI9jkc\ndwP/KZIux8S3j8ki5kEh/D9SEYkYYDqQcX9wNzrID5b6j4V9LeCn6flWrhUsE9rRbGbADYR5KrmT\ne4YmNosgHLAqlHEMbm+QEVUshotzAjxKuG3QnJJwG2fV6OhLgG4d1CnQ3vtGMVnntKiiXBp7pNRJ\ngmaGLHTNNlGc6b1ipDeMDNWkdx+eQeRLhyobc0ZrhsPgtpHy+LwkVGK4U3qX5mwltKkJKOy0mT/V\nk5TeSZEnMzaiVEKZLz3nl97NcGbGhiYsTMuBUslJnRnOhXTbDu+WVjM22UDZQfN0A4sjjUm3zsgI\n9p4qrzTByH3j/MVkjXygWWdb3we2Rnum+ylvvW17xP54go2xqmRGo6+kt/Xx7EXGZ6zkeWvPDJW8\naeue23nNXAmDPWp7C6+E5TGsbh08lOG5zwmf+YnJ+s/+P9p/gP/l9h/gf7n9B/hfbv8B/pfbf4D/\n5fYf4H+5fQHgwZnkquH2nFrkxVyLfP6ulXyea4kX1Eqez7XI4Het5CsB069i25uyTKtnqqxmeJru\nHQnKvLt3C+UAu5mz+FlQ1aXOmrFJ3qeovp8uJ+FWyn15KT7zd1PNnLpcdtqcxcdWCuryNgzviVPc\nCS+2sv1aY1U1Q9ors7OUSmwtWBxsLa+uwJj5cAvFH/dMYuYLMFJTNSb+YWo/L4AZV7HZ6GSRM2zD\njFGjAwCSmH2KdDb7WnR1GZBDV//McsKsbBY54XtF1MVoqs2iNgvZOEnxnWKzrEU35zP7rOcoCA4O\nRlJ2F3bOT/ZRxlVsNoArk8M8ZwRcVYyLoIRrTbZUs3IKzwq4MxuNS3gBf2feAbdmAWld0+3VcKfm\njICf19wfhYI8SnEo2tLhLIA704EMKCL/c8Nd6j2bK+BxVBLKjbimO0+AGVex2QDucUZE0gs+g0zY\nAAAgAElEQVT3MgAeoES9gUTfegwLL+psgF/EFfteaKbrMeYd8EQdumHqcQJd0MBMgD+GlxKlZ97i\n8bArmgXwZAO6HvLr4gtKqFrlcwUMNrkiooiRqPMEGKYVPwn17GasAb9KgbsCoXCoGRTfa0qJYhZk\ng4LIiTYb4IfXgZI6EByDRbfNO2CiNRWU5sIiGGYC/CKNeN3TQ3RhDHNyF1J34U6w3OHPeDDlLj3K\nAYiiHvMFOOiWlEoq6c9WqGvn+5XlYSMo4rZlkjVi0T0zAX4ck4uhhssOV0ZWkvZCzAa4Lzw3+hnY\ngcHQfmPfBnDvJQuDP2kvZwI8hMpNagHHqiJRn2Dvzg0wWJueUzEJvkRj780KmHaXPoblxhFvzzwB\ntjw+Bh6DvZb4nfVxg+3PoN3tlbWD4PtYAIeiBzzeWNkGa1t722gCXi25QC5pWMMCcFdlPcyB/77t\nNVG2G02NW/k2gMGAWIQbzZE/A+CRuv/9/nyaGJwBj2mZI+DJx7/evjeOwgGx72cG/OlubgxwnbxF\n4GMbyT89T4BlLd5+gO8sZgcYfNXZD37C4AqriYCR9IAfZAFxlCsY6OyB96MQYNKpMwPui8RdAx7R\nxWiMQYCpw5lvAHjySdcoMsnxdGw75R22gF913r6Oi3xHir5pgH0wG+C+TtLgqicOyG5C4qBERDMC\nxhfGWhQSpRWnX3RSJvLzBLg6oa0IPnpiB7g7Jgfd/zoZ6pGm67Co5wwySqWQjBLRPqNy4tphBaGI\nS9IEgxnws3Qg3Duzgi7A+SEGQ+u/vwHgmtSMii6PE5HF1EeSHeBHMTkO+QAUNkuJvqHYLIB7w3Ow\nxCFZJ6E/rX6OwtZOzwwYBRR5XiXepYcJ2Siy6Mg8AWY0doChzYId44j0OOh3xjTIehaRgSLfgSeZ\nDIFN08NsB1lDiHT9BFLgF83GYJEM8w8YykgW8/FVaCaGOmtnB7gKB6AD0hHDxGv4kkFWUyFQRBzE\nDaAyIp7OYZDVmJB25xPxLlUCACUQ+zsDbolEuDWBo12vmDU6oEHWuy5Ky9IXWZZ9b6CygvQxvLFm\n0QcPd+MKStAkRYHOCnjMKsm+wRNcUXiDMKP9AATWUhoOdoCbM8uim7uHqa/HalGNJM6zyQkn4pKh\nK5wGP3f1tSCrWQKm3pnpZmTN48fkqUN9ThmWPH75zoBH3JHRoVPNKAQUBz7a9nCE7Sj6afX90b+K\nsi48JFxCOxJB20DEAvBARXB2Jam/eh8FFNyeAqefNcEWVOYd8NjIp5+vEcZ8XVirYz+R32MHeKKp\nmjxbHocQPbTSSoKU7sBZAU+3VbdOgUPlaPyzpto4ohgHW0l/wkQ1ESBN2nqbusdHG6sp6+/fGfBw\n2FUjxZpooBQPPqu7npmNZ5d1BYRyZ+j5n7QLeQIOhgO40Ed1j6Bfa2/dH9QDqYBrioFEcuDky9Ri\nhCtioP1SiD9xF19ffdPovAPuDAtNuJAW+RJsMffz9nzbVA/9mNiPoonnQHgfmugMO1joHrxSSnyg\n5zKKfuRtGn7JMvUK+kZUeh8TYELHHEEWmCJ01NC2PbAXizT0If+iPt9rGJh/wD1JBBNmp+VSpHPQ\n8kw0YYL0JrLwWBwQZc0ecH1RvK4JorAO/BgDAN5xpfFPCM8qphhLlQ+jAiZ0c5QuZwwRfDyh4F6+\nk88JKHp+GF2ce3e+AU+hAJSOi/X1JvCDtrMN8o9rxWFDMwAmnQMxRj7q45ujbuoiZmnEwPg5AJ5C\nJXjoWppa59n7WiaihxkBN5j7OJFdAJ8RqRjow5ZMO+9wUuD7dEV+IbJ93gG/LSTYGtYLHSDYoed+\n0fenmOACTxSAuFKAYPMED+KRjXWFwFXPwsROcLo2GltWCEBJOZ6nAWnSlIOogF+hYysoY6pxfBxQ\n0JhnrbqnlPDqTRI0YP9qwJ/xSNheuClU2cljZ05BOjpNl8NqkACQ9HoGwKRzIAEemHS2MTIuAs6H\nln+YDfBEDapmFFVktdP4hF10o18ewJyUo9X3rA1AfueFz2XofrzAnHRIJAEeJSan/L5N9FTbZT1j\nh9oXf95I1Y7B3rw/wKYPrk2LCGxBYm/fr39EGJAM3Ln7GJuCJbTCg+hcBFWjlbaSNfKOOGwZfXiv\npb4dj6341HbwuOmlgc/jbxDXUhu+HvDdQiCBPAoYaro/2I12CglPe/Ss/unQq3fT1TE5yNEZAI9e\nDgkmtKNTD0P987unByrKr+TEegAlFQOtcMCTHQ1v6Mu1ZwHZD5oQiPBLF862TjWkXkOOMgLuRyVF\nUSaTyFIA+aqzqrMr66QHWVUVn5WF7/hegN/1Tow3lf+enOcdEZFVgQg6st0akrtjA/gvay87YKod\nFVP18dXIa4eg0HTPAF9oOPGxvYqq0cq0VHknNkovL6FroLH8weX4JHt0iGtsYHXN568HXEXROCI0\ne9fzKvrxf9Z3Dt12SQ70i7rbjbpcAM3t2AIeCY68+tPY2F8hDucLEn4tb50a7LgbB5Tax3iZUw4h\nlG1KL8R8pCvXnA9ku2DsbM4dCQnu7ayr6vjEPIp+3/aC3LJMeiACtKxVrZD3g2OTqvp7ofH06KPO\nkW82yGLYxtYSnYS/n4XzzAQi1B2tkHmSmzRPhI8w7i6kHt5o7GAVAuJxACIwOdTXzlxsq15qPmnL\nJpu1aELZj1pOBpbXbtQ/yMTF/BpgeBCJsb4RcyEF8QkO+BFpwa1fkZU7pLs6+mfiH3SAp8EeTAJZ\n120EavaCi2+gJm5uEt+qFwnEXMYBcdCcgB4w7PLfJKWcMkLcNzbbdRCV4AtAcguT+IRLIUASXIwU\nD+AyntCdzEdkkkeS9Ulz6YtYv8Adh49Aoyl28+BpsOOKlcih3Uqe1iX6TjbOWKoO3bwBpgcqjkU1\nwDqtwUlUSVH8r4Qpf1CBq5+nw/XLNkqa/tBaIgwwMVMu+dVwcFJs9WB5KXA+G0j1OaYkoa+EziEp\nGrAEPN2AQvS3XHWzU86NbqnEFad3Xs6xcbhqUXopHshtYwH47xBWF/FHBPkPOOA2wiTt81vKdLfi\nWu5tDJQb+vhByW17UoHI38qAaGjOCQc8VYcup+4yGUFeccWm3bBR1VSw9YghOfGn+joSgHhdyiGE\nslUXLd3on2Bw5O2DjJMnzXRtQzWvHtbySAbZAR76+2plbTFCzkZZ0sWo1PS8s29JYSp5njRPgBkj\nOrZconZaBFrlkYhcq1PuzdHhjvnX4xPiLhZko423nYcG8zDApEy5ZHuTc1HxbFIgqoAwtii9snef\n0xln/PvG2vdsAPcmADequ5ITLmOx5hevu2so/l15I+WITyE6NwtIfUIPOOWcieH0iV14SB0+4axZ\nirnGcfP91USJeFOp8zdfaamEwgG3YAEcTaULHGp9OFiTmo7/dGTTSh7r09bXWxFIYtMCB9yTDBTT\n9HH78yJLYxuOrxZRsUhzSwrvfV/bOARO33I8SfWgQ0p38TFhTN7vsSoLqU2btP4K8Nyj4gDdX9aA\ny81P+/wdEaBy+KCZU0a4AwIda2l3nrzE9o0iOsSDgFRqUEXrNSD/HNLUvafBI0orJPeUnWlaWFgw\nKRoCLoSWkpZFlRl+FnJyj5HNr5Mjf3hVdTkGaRn88RGsKihBj7EAPPCs77Z/cuqvtWnuzpnaxz38\n5M+5afVVIjqmwInRWkTjFANgV9Cu5TaCqA6f4DqdchWUeFnuTZSI/yMi5qb7z9Oe8Mxn92PgKl1E\nm3jye1mO7+rF2xUv2yWgh0kOJTjgp+lAWRV0YqRn8vMtr4ba8zu1D9tmZVx4WXsuKu/O847wEgxc\nELyyDEh9DjLa1BkD8U1mST+dlxQ6XTvGEvDUyxeZno6aVxou+uoljN4NdtPVKM5FWl0hLwx8o4gO\ncTsoxzjZ2nKAa2bGesecg61kdx+N1bpqqeloRN4iDQP8WvO4DjXQqVFz86qdJsXgM2y6vbOaWzF6\nmuT5fs8M+C06zfaIyma9U5kA9mqUloKv/iFf3yOD4LOiy1WkJp8BcB7o1XgbQVSHTygCU4rAw+AD\nT6JEPARYB1q1gAHuro3C0PXXU2PTv6rLbbIU37Z+2z5JJT+yOAMc8HhFDKoXfIdODyOOjDuj0t0u\nme+wRxrkA5cdDazsQ5Wjg4PpBcFfoWPwDJrG02PT4zoWO1ZJnTpmvmaluH35OCvANUnJsSZ715va\nXrW2VrztddzPwSnc1ck6YH4Bw7Tim6FdqTw3PtLW1UfxmDyklpLWhjWb1Dab6R4037vlXGQEaXUW\nBrgtO7+gFpzurn8Kfh6oUFzDt1m5ZboYE7Z5q+h2h58JA7K76TmICWbATQX5R21slMLc/dGYQI1d\n4jpZ6J2bPd91B1jbpJCafAbARUTARHX4hFIKYKJE/B/YmJtOt0CzMbpB1gBd5OmnP0P+tNops3HP\noZU/yggIbZLoIWWvpxtkTX0knG9zbl4e5Gzqi8VmHPTTktx0LicDbezjtW23uIZNlnbuVUPKd0Jl\nR2B3DPzUWPdqoAJb3oaW414m7KYkv5JHyoTlBvCxcABAhu1RPe5sbrpfXPG4lIzWkeJAqZMXyT3k\nPAGGacVPQptSt9BNk6bHq2ORujwiQoJCfOs1Dm/etRZdwiRlaFGLAbJawO6E4piywIgrO8VELQPG\nu/1c9omIrRbYruvTCwlGjbDogx+l3tDSN5AOVFVfI7LHxDCkbNR/v+zugJ/01ZWwJBcmS8BEdXga\nYKJEfLu0580Xh/YjZlrJuq1rrLGbn4trtbG8gQaP+J4j5+OQjIMskjUbntUhzCYGnfTkDhzRVSb8\n9O787WdlorNL2Wava8yf7Xj2Gh2ITHMP94TMcJ+CY0L8Qse1VXk5ebXCPrMAPI0oKT0fvUdQeI3R\n7n1bRFaLq1lcyLpqVRJ+j9StzBNgRq14hnnwbU1lEY4fFnAuWS4jo29wYL9xMp7sC6AB1klyxf4x\nDv7mc1pJ6uhhIcFlPM6vwIa8iIMHV/AJiPkgKHmRmABPNt0J3SG+00pBcAUX7zKloLq/FLZIKnun\nnFbd50haO5ifpcqXne14fC/ovoqHf6coN9/u1btWy6n9uN4wDUgt+cASMMrxqDfgZ8hz4MhaTzk+\ngWUr9ydEO8krGWFcDJx+/TzDStbnK3oW5pe0nHQuXz/Av2v16r0bFi5cLJg6waqJfleJ/7UY0uMW\n4d+wUpBzs5L0mRNO7hc8Y+paUHe7OuvnBzCjVjw94D4Pf33uhT/88APHEqFdCidU3DOobnIaYMXc\nk6aRz4bP7N64XGqNKO+iZRw8McPPYgsuq4htXi3hc5Wia8JiFP3acvMuXjUBDo6FCwR4wsIuHd6x\nVd+1yt/NE1K8nehstpgPwF0xGdp5OOSIwnKuRSIci3l4ZQ7t3GZuapwYGG19Ff2BBeC2VDuPCD3z\nH3kFV4qukxZZwMHBsXmvilW8B8qzBBpPsQc8am+jqXXZRnPvj5tWLOOV0OJbufgHvi1O7DQ6Ko5u\nXrN8CdfGjaL8vEt2aR/VlbE2TS66FAsgrMPOW8/xksEZATNqxdMD7gk4L8G1gACYa+GiZTKGe89Q\n57swwPvjXcNKgdB9OyVENLk5OX9YuGDpuohPPc2Pz6kqbJPRACiTRGbAHfarBSUW84ssXvzDQgFR\n27RIV0tZn1dNnpau0FThXnr+3hamsrMYC8BVuGLLJAAzckCQa4nAwiW8XJI7hbYJiK0/dEAqoOha\nOwvAY+XaiCw9Y7k1nAKqPGKyC5Ys+oFTgEs/DzFCGk2xB9wXGO6pFWMqvVZk4bIVC7ZqLl9PuDQe\n3Y9MgB9XN48TWum0S6IrVnDzCXMsXrJolZbsAVl58d3mp9LzdSyczh8D52z/eKlyLNiaX5AAeMEP\nSzl4d6yRUqaNWmiADXw989Ou4U5ulv5RZzMv14JFixav4D37YDD1gqJmNC2rDjPgaR9nI8GVK4S5\nFnNw/cDDr3z0srEMOqWtJh11uQIkbpZQYG7eZzEWgJuycB6o+DrwNx5ODl6O5XwiBivXiXFI8O1S\nUNbLjnnJcqmyt+LOTVueFRw7eJYLbxcUWvzDEn5eu0iKkApbwH0oLwNsfeNV0W2CP3AJcAisEhXl\nXrRk3cHnjIDfRpZlNoFTaADnfEhFmGeL8OLFy0R3ysjuUhLdruoVgtCy9bexBOds/3wt+uMVb7UV\nXMt4ly5dzLN81VbblvZ2cowcfKmys/pBeVmSupujm6rQ6qX8i3h41pkH3rT0N1I4CdsnwgCY8DR4\nW9orqq5fuZRDUIxPWRUVfszfOay0ts3AyciFMEVtyCiYlyd4vKm6623f9NRry72ywquFVypclNq8\nhptPUFhe1S/9Edu16M9xbtpaYjzrlaVtxTgXL+Hl1nTJJ3sV2AJuSArUsn/RHagixs3LvYpz7bb1\nfns2rttv0MEIuCuLmDqgNfy8b4iTh9VqsSWcXGL65u775XZstfYe6biK8U35ps6GD/X3iY1xr+b+\njWt5Vkqu4F7Cs17sqKxnTDY5URG9s2Hib2u7hNo76YYruJfyLt0ovGWrodsle1njG0iazBQ94GZs\n2NME2W0K6OUci3hFtvqaKUekeOeeNIt8OuShf86Q0AmPt92blz6YZAMo15MWhtY6e9errOPlEVsu\nIiYhdc761tiDumMsAA801Dlp7rfcKbRs9Y9Gfj+u4lstJq5jfMzl9swO/1/1pPd6mZrKWUmu2614\nafnGdctcCqW414gyZQAfQOfEdk611bVeBdK0LXb9uIZrOTeXtLiF6umjsho1IPjmtxs3Z9kCAbcv\nBjyOKrxOjJy7e05gmcj63ftXSvDyb/lxs6a8YWEk0zyY8M/9GBur6JYeL0mBxXwrhaR5hdYf9vdA\nqOYBGNo+BTrAnyIBnNdRr7NBjqsWL1iuog3l1EoJTEP+QmgGC085oknrhfPo8G+4fsrFXdtHXlyU\n8IPiWmt2xCsz2AaFr8sulmllKjuFzI9X9bIS2sfDx+GRoKMltELc87iljbQzmthnsAVcqL95l86a\nfQe3myk4BD7dw8m5IuMPsW3ikvVMffDHtpdgW0pxpH9xuM4FhW0ivBxLufhWWus5+2nVEZ6g/vBi\npCE4Z5sb4EZIeIvzJrH6WAAIIyZiPCq5jHu5xDmL3RtWyhzR8FMzSISENsHpCXrApcGnrFBZF08r\nbBJdysGzW8PkgOqFuue1MTFNtO+nA/wuErhm7WlnIi+zbtliwSNJpuJbD6aPP4eidcZfBacmkUJn\n5w3wC6RzAtLB87j1/nUruZZycu/Ozml/Gl2Y3IEGgP21DGUnHlf45Fzf4WGvtEuAj8/5iJKi4h5f\na4SF/YkzWWio/YIBrumERwqWnLXeeUhSS0H0VJz/nQsS6zdJx2XLbl2znjFnw+dK1P1pYqRqfVWB\n95nDWzaK8XBw8wkFx+W0EZ+IpxlAoh44Z/viJ3gSlZNJfIZeyq3n4FvOK6/gLHtIUvmAsaVNDeTc\nfYvA6FM2EBIADxceOLBq7XZJt2M6koq8fCtXH7Mw0Tl9ZxT8CJdAhAFuKcckn95mq3JQwt1BcIWg\n7PXSrULLRU9CY9RxPKb8YT159998AZ5A4vK0EJllPofExHl5Fy9ZZxAWpRmCcbs2cD81V7qDoWx1\nhJmNedQlpf17xRdz8finm5kaHLK7/HNflqJLKvHHQAN8LCQbSYu7BB9aa+v7OkkdOpyAc7qsL8LJ\nK3il/KSU5H7GadLdQiD+FdgVl4d5D053lISo83MuXMC5eo3c4SQksWv8jM4NNp7jJYP/pA8eausc\nBz+8Hur02blRnF9GzTBSWdPEJu3UXyRilaWA/F1yCQLgliC/YxvVNTc7euy/nKGpKKfQUJUYictm\n0A2FAb4RV4q44Hj2kNPxc6nHj5wtmLpjKLFeLhpaQ+nKgEmfzhdgyBmM+Tg95RtktUdhnfCaE+aR\n1uewlnn5jZPdrebUPtiGmLF8AhNz8RQqOyA/Q9dEQnh9NIBNDTqALoqqzC8M/YM4T6IBNk8D0ijo\nJh9UAbFx0RWNtx88Qob6hB7gFtn2Y/PQOT3H8C6GnA2kXEvTz1qhK56qPuGwVWA976b9Vv5WuDSS\n4+JD6192c7xk8J+OoltiIhwTtf1OymzS0dhb6O91NPw6xZOGxwEKlPULSPEd42Ivqq0ptF828nm4\nq8YVnxFI+zz3If1X0yCdOH3aOtR/7yF5b6RB+K8JQPKjpkgHnWg09Cx0ZgPFlExV89dE18XGNBAQ\nnNmvul1NTUnW0DP6hE20VW4RFNFKG0XrJ0dAntDy2DPWYe5mNtk6QRaObpcTEvJLtK4XI+uKgGzS\nww5TfI8qxVKS2Lam47wTAYocbkWkBd82te094C+GFkGY5MNPyEcRyz6nxiEQ7Gfz/Xp7BFfv1LVJ\nxprRvu4bOfxhgFFArG1uelouEKyxJwQo+fne3UbKNqKesBg9iqOGAPgzws/xmJ6uihfiahUuz7/0\nNTRojUXRJ36FA46ysTh/3kAnJPlu2/vmfKC4Yaj+75u1xGnmCD4WzSK97NcOsvog19GEtbqGbp7Z\nhcsX7tTjAsNTY9DQ3aQBViFtyhioK/7tRlGk1cXqX9yw1e97CRPy8L/q3vejY/FEJffhDirg47/W\nUJ2rd0uBlPOxeHKLPVCV4rjnWMn4CCov+2gOY86Gz70ToxTCLt5OUvu19+2qqI9C3aR93Tdy+MMA\nI0oTTQuzCY/hRM/LsGxv/zBYkzv2iW6QNTkwWRsf4VxWgq9LtDa+CXWgk0yJI2mQjseWYV71YMsK\noWb+DSYbexdF0fYltFgDtL1K8xw2O+3mfNEw2+NiUgVh8jbymVwTDbASUExZWXmQA8QTLn1sgHBa\ndckZxP1TE8RLmqyKuAB3+FPtaWR2WB/sqqcGPn9+isam3wBcrzHnbGjDYMgtnK+t+2EvXO7fIDgI\n34f3jRz+JMCvXxDuwLsqxE/oetI05/3Dy/BdfyBz0N3kk65WdFX/ULJ1THxjL0NgF9FokGxuoFvB\n6YfoGuLC2LtHr30ycTEfWBT5KsD3no0xftqTrp2QUxZ5axT+JkzxHV09AL6Brh0crUc3Uqbwk0+7\nYHe+JxlIPMJUFrLeRx/AqR66a0fgAOTvqMZqtD61Dz5JmioQhu9hpPN79/PFe92oKvodWt/M4U8E\nfC8hFc/w/I1h4Pt2QfY7/CvLcBfCE+nlHkjGdgP4dKWRAzb6I1OBrwNscTkdyUI9HEogQj84oF/J\nuh+fWsFCA5xmLwmA4TFZdDZdlZwEv3YkDiBdGG0ULZce005oDSDADHEC9DZ/Dn+KEPHgHwRb9xsI\nLZECsf0MB7aj0XThEewAv0aEeuLIQjH0xhbwp6h06yMNTMeDXwf4eAqrUBpwqAJbMUz3Dj1gQocb\n/46pFMymasIvUJeJGQHTRHJI9pyS+oMuAzjU0Xei0R3gTDb/YbMdXgTbVNrd3X0xPsm7lVGXq72D\n7qUJFbA+/XGdzReTEi90MQt7VdAA36b7oMMrKc6DRYHubmMq4KNzVA+7Q3uCg5IvNbA4oushQ1VH\naU004VVhfJJPy8x1tP5JW+iooP+og/HaO9tI/9OaaJnkmBLioe0z1/Ln/AA2PKSjowN7XQwJddgY\n6B+fWa7rzBknimNp+BzjRyf0DaxZFSmhVFLE8MFxNgXOOFEG4kNMlbCzMkol147qs9FbYzBnygP9\n+ewZ4rVbzloER6kkn/ETwrUzaqCRKqH0Fp8s9I/asjqCyShbW74O8P0I9p/9Z/9fbAbAU8xZCf+z\n/3f2BStZ/9n/R/sP8L/c/gP8L7f/AP/L7T/A/3L7D/C/3L4AcP4MufhM9I7qUbPrWVBCVYaPE14Z\n6R/Vn6kk0XIoleTB3iSU1GNbwpKymjJkSX7nqL6BAdvDIaO6xnJnPR9KJZTVlM+WrA9grjOPUknO\n7F9vqG9AuDXHKaspnyzmdFKE+0m9XfMK+HQ9+yR8zdjriZWUF8epS5XHCK/+TLuO6pwlh18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+3i4ljBp1iWaCa9ffOu8w+oZwMDPFQegXTQUFgtvnONBD/PYo6lfKqaH5vq34Rd1jtUi8hJh/qt\nV4lAkg6sbLXjXC6ZBtgAgyC6Fdrd9upcPJ1wVnbtioVLhMW37pUUlJXbounhFoaqZr8/mGC5J413\nW3enKulvkeBbzrVoCddCUSUxk5M+t+uMGefB8SeNwgutLA/t2K2rryzLvZRj+epVa5SsZUXVvY4M\nQ7NwesDgyHV9kK19OeAWNOIZApduHGSotWbJgkULBVdsFNy875z96QIgCJUb1zZGJyccaX9B/qA8\nt6B2RHqIpuiyFULH1qrKHUWckDx08mwEkvgI0WVdOZEAJN7F2BioSErKqIlIrl/Lz8ezQjg2xlNp\nu9gOsys05zrdIKvB5Kyaoejq7ZJqnIsXcizhP2xSnVuILjzh5NY12NEN3RPCw8UCMKQE/xpSiScq\nxpP+IonFG/WCSuN0O/xLiasPTVm2Z0ykzQ9sXbt4EccmMdHVMiu2b5Oy/JlQDdQcj9ANsuCWKrdZ\nUP30aYkDO/eIcXMt4JIVOGqjc8pDJaZYiuJ8I2ddCcuNvJAfKqGxQ0pf+Mc1y7mW8q3cImNnoGd/\n2MHNAY9BfKAHHDcztS8GPAip4SNwMaanvEO0VvMs5d+5Vc7cVVqpqBmDefiuDcofCwPc5+F61nW9\nyPrdWnkuQabbJTdK7jvqk3UlLM7IKwf7gdx5wLOunEgEkn+LczOTObRD2j7zzLF9R6SEthhHXA9S\n0VC1L+qjnQ3dNKnK9pSRvZq+jfaWFQKC4hs2H76FBoCE/8UkUtN5T1ZHeJnBykJNtDoIKcF7Qyrx\nRMV4ol48WSw+M7Xdjl7CAUdUB3uFDdCyNDhxyvTQFoFl6/z1DhvsN1IyCKqG2jXI2PqD/9YV2W+7\nNVpzu6QsD6/aLjVdo8QUzYSEI7mAHGV7LLnsg+Lb5YGOWk5H9upudd+2mmv5ph0AtijmTOtdb6/f\nkwFCv/ZN16I/RxKme4/RgefsTAPSdZcs5N603lgtC5OL+aOcEmNAA3ysodQrNvKuSwpCLzR9g4Co\n0DY56ZPRaV2lx5TEjYpoX00bRVtdjKh+hrbUOxrg6xJSc1lZTnL18rXG/pgIrSPa0DpoT303Cxml\nD06Guy7rBPscO7B68SLOHy89mKxLv4Z6FpkXRfMmjzyCD7JITzCkBE9UiScqxpP+IklNvzUM/Z1O\nhCUCSVTjHgGcHW2NVRV2HNLcvkP79yPi2zZXY7Iiqwr9EMSq2AJ+Gq4to77JSVdMZb+o2LHYxhzH\nXYpBzpdzU3L3UG4Xqew7bHHqveLoWFN7N29Lg5XbpRZwrHM6f/VqBZR99WkaUPqNAYP3sGGPwNHh\nHrT+cavdW1cJiJj5uFT8cSXKD5GPZJQylC3O+rX1FZT4t/69jpcl7y4tbQs3/ZRECx91mcAQmioA\nbJrUPjQNPq/69SJapxDnFntKdJPodrndob33neOuoSbB15HFyaQWjX6h4/29ipYKHUsto82LOZbt\nD24DJ5rLqgZftcJTYjxmBgwpwXtCKvFEQXEf8l8QYPCw+gTdIGuINCBuzbZy9kv3kFGT1TEMLkbK\nqR3Y0fWqtTLK5nQmMcsH+4iOF2VnTQMUhLds0D7hFfXqt8u7DI33xIf1dLeaMq9F498jo/7qHx3+\nzcvBaIeg0HIllfOe/4M+HMdHEvq1X9dAmehYLXQz2z8YZA2Tomjw1xGqm3ZKb5I7aes1kufgoRUO\nRJD8NjC9aFICOHBkBHyjqCYjrGFg9UttDnDD1ElNLhMmU0A/D25DIF5OvokAAH+0qaSCivhuOdfu\nkXCirkHbNaCUnZThG+cTjpri3MsFtwYTZhD4/HwkvdYEPWBhBQWFWkgJnqgSTwRM+YsIGA1tsmae\nJrVk2F2Ixia6qaoo7Q9NuW9vc1KH0G/czT3jGYdkULpjmpzW5qTIbz8orxwU+7Qa67jGUFc+JbeV\nKWSnH1OQRPiBDkEnfz+/NHyV8Creg+LHlQ2JQ+Vp6If2izCUS7KH8ftZ2j93NrRdcbDYv2HDmV9u\n/jkwHIY6qxCbyyRGKpufTukE212lxSyt1YuGXkcWxJV7n3bCttK+iw7w5wgoTzzYGIl91Ftx8oiB\nyF7HvHrwQWQEoUAftiCB9O3MgJvNPM9iYoRXrpAPHCQFH9CLNX3ZQsdlSJGEGfAg0t08Fd95UNrI\n0yKgeqrD2wfqmrvjkYZBxPSgMwH+hDA4KiOtnlPXM40uQattVbfJj3jLHJP1rvkpxX0AKU4VrBPc\nfmi/pr4GVQPuGzfRFJv+HyI372bPZ8JFP2j+/Vrq762tTHLCpg+6SAOpD00/ZWcYo5IgsefXzS+m\nRz8Nwe8+HeCBaAAgPA2fahoI3zf8oL41KC+OQIRU4G3zc9LVMwKe6iyKjsM2gC9xNX1QnRXXcsvp\n3SxfBDjZEHqCWCxVTr550DYKvvcNdMEm3r7/foQY5D/9ovkx6eJnDLobvlqW7kT8HVRn5wb29j7B\n3e5nBDzVeR+W7xBSnOr9o/aVs7nNFaoG3HcCDA4iYoOqHw6DUxW51/542EoDxizCMhKIDnKIvVTd\nyUY8hg7wdG0UpgOcQF7PqQL7mjsnwZ7mZ8weMUbALSmZ2mGIT5OPmknLF8OtDxniSucvomPgQdvr\nv85HpaXmoxnDemeOqmyKiCBFGg38XNoDRf7ko0YYAD9IKYDlO3zaRPrwjXvAVZqY1HcCDE72h+Tm\n4MEhwrgaC498Zgb8zPCCm9PABMjOGNaiPw+TVW0/ovPT7rMuwggYSnHfPAk2pxSEDbAuMW+AxxHX\ns6vAsQEUACQzBmHPEjY7SP7RVWdfR46DaIA5vSzhOmjR/k9iC8jzgEn43ftegIlTpvAxwhOcWwF/\nxFgDdp7hq1lEVU4g83KqnqeRR2nMTm2mJzi1ENNP3A3BkA+SavMGuD8OANBT4HR95pc+wRSD1Kji\nPoC1WSye4FRYxtL6YoCcvpPOvhvgJq3AFDzUB7fQDWeYAI9WHHIOqQLZG6uw2U/ND0c+hRUQR2kT\ndegaht0RzH1wE9R33TSxDGSlmwbO5xMM/fYGKtENrU1MGnxzAfwKhbqRk094gsfbmlj0wU3UPvih\nt2dGNIvB8k0+SGqH1U4iZvsawH1xhdgcFntLmAC3XLsedGsm7Ta2QmhvG9qhpqkrHchl+CWzFkL7\nHJ4QHsCmknnsg++3jNQUA/EsNsnMAfA0EgcgGhqpHQnbnQ3vY3BJ6awC937fBKllMakxsrSvAfwy\nmbx+x2BMgBsLmQSE6Y0tYLIRpr9FDHp3rAG/J7SeSDaVzO/epEocLFUnzeYAeJLQPkfCxODZAu5N\nYn1/v1sTPYGPxzxhcSAT4PeoBMQMHq3ZAX9GJKAYRARZA56qiotgEBun2vwCfo5JqGDRKM2liW6O\nir0Le8kWMOH+hnez+oLfv0PQHdGm3sP73v5yBGntgnmQNfaOcC8G8chGNucyG2Bw4h2hQXqBQNA6\nJDZaldMfKM8GU3XzvLtw+B2DKGsbovzDbIAnalA14+AA3Soj+92FUx1BCFb34/fvEHTHwipLgCii\nO4+NGGltIZDIZnltVsCQTaBwOFoqnlnFSAnVJdBV9w32B8PtQxRQgp8NcHsWkNXK8N4M20eRpUA4\ni12iv3+HoDsWRp0WsgFcxX4/95wAQ9kVwqkji1kBE6rLoKvuGwN+ncQQVckKcHM+UMg4sZ8BMIo4\nm2KybxV0V942Y0f6CJtAVD+nA/y+jTrU7MEkItjsBGcN+FPbC7o2lpRdgWwzA+5t+/CCsbqvBTxA\ndHaztUl8AraTHvD0C8Y71o9MQjHKe7MBTLgE8GFkXBWjOj7B/loObV0hr/I/9zlxdn6C7qyu5KJm\n3FU+0EdqQGGA32NyY6j6DYNv2U2VWAIeROcm0o+938PuzYyAn8TkYt5/ZqjuKwF/QucmtM908FTf\nAMMgqzUhF81wx0beMv3GWQMmXgLY38eCL71e9K1bt/RvsT+rLwBsnQikP3tfWcFySxXc4CE7uTDt\nDoK9rMCzinRjCfhZOgDge1gXgAM+iqpibFnulgK5TIPprwT8OOs6OmE2sRF6wHgAyKCVYHPtMMAm\nqGrq9InlJZCNDrCFWYJaAvsT+pInOKwM+wFRisPMprgBA9wTi0uFneY4GleKZNHOsQT8AVuWU8Om\nABywPFBczfBhaxou5iVjia8E3BeBcIlkNeShMzrA93LKsNRGZxyFK0WwuhQaYCWgiJKdiPUlkI0O\n8DQ2yXWGE/oCwKdu1jyHdgPGzBZKAO+DH9U8hIXtDkYBAIaFz4F1H/y8puk9oUAYy7hfGmBlkhA+\n3CYf1jAP1r62D37qGFMaN6OkP8gAeKy5htY7Mkr6U41J0p9oLC+BbAyS/r/Yz3BCXwDYXsvExOTQ\nHil141mUujZRGvFeMcaP1KWkDrIooUM947NajAX2sCpgYrKRMgV6KSK9W4vlIQymfY5SyWntuRwP\nVfKKXOLFesIrjT3SarNdu5YDpRJbHYaPDrC+dpMNlNzDzwSkd83pSrSc5k7tCwCPEnW4ujr6ZpPq\nornr+hk/etf56D2rImP0lcAKdLAuAKvkbfuT2c6IZOPsKmFrDFfSPfu10yoZYfyE3bV/zZXMK+D/\n7P+j/Qf4X27/Af6X23+A/+X2H+B/uf0H+F9u/wH+l9vcAE9CMUCNMyfUoxltnejJXItQF8c+fsNK\nPn5xJU+olTz+4kr6v0cl8wW4GVo/Wa7NKo2ejfyBPQqqRsS/jVXVoD+2UhbYe7fQHWqmrL7fDvba\nWv6AgoGKmuHpMxa2lJrOMCYVPKaiZrBfXZn8tpGaGqmqM1spy2Uvt0DfQ5cV0ERVTU/+gOIJ+m8y\npy6X2ZmzzAhopXBA3ppYo4ayOuGszpzZQlkNfr6VdRJBJjM7S6nkpAXrIwg3TE72gOLxY8Qrhyqh\nOFSfkisxUqVcpJ2h3FY50lFwM51pbfIfASYaLAM4zNpyi09igXBoQ9pYOABEDLNPL4sHgBT4+nlT\nAZDvRnRpz+DwRwEAIpKyRgv5/Mkx9jB3IaMXHYo69k8BShgyFc+6Fn2/kBiFTKjxaC6QAHl+vsTh\nT7LZY7IeXgeirhJOjpqsltFdOEq7yNdJNv7WCX2MXzH/6WWJxhpwFyL5WHQZYgoEp3suFJUhJ9gD\nvhVbcLkR5mroSAfSPUtwmCHWgD92QQ03/gbuShhQBPmLJp8+RpSVkaN2YIA704EMuKd25EI6zjcO\niP+Z3vXDCPhNF/3mNLA9A0jvePH47xs451wcFnJBzj/gj12NqUB4EJDTjC8p8CE2dYyAp5DUi+y/\n7OWJCodciOOPn9M8w98T8HRFgFHk7QpovfxBXOTZv6Dmhg3gbrSf/KWUSprHbLIBVf8WX/GMtTfp\nbVgmhvC1/fiKp53IKugiq1KSfyqvIDdoMMDQ98B+N2OIaI/sp/cveqYg6AgzAH4UlUH/OThRj2qo\nS0y9VV7ejK8gfv28AyZcVNgfqJp6ZO3Yhz/OhUVCQZNMDv/XFZSLvBfsdv4X6Eym8KlJddRv+Z6A\nB4m7V8DnCMRzKCaL6H1hA7gSV2qWDESRXNrPEAhYVDErwM0FQGEjrDg4HAEUu16tJzsP2Ud01By1\nzkIRA5ez6IJOGQBDm4CeMF4O5A5FBSIo0WfzDriJeFGT9ciaYbCbrDo6Q0wW4WziaxGoPnAgBgDC\nqI/wdwQ81eVZUBLS/pdHQcr5PwtxWKJnhA3gGkyyblopcpxY7EJegtdYXxtbITTC5aYAqXfbqDEQ\nQ//7I6gUa4ZLfQIOtT+dYgF4opsowTTsY+yqVzAKNuSWXK6CZ3xgANyQi4umbhKBhJnAyc4/H/xV\nXKZTCER8fNoOtd/zDrgrIj6ic+JvRFEUbqQ3BhdZMjwjYHxxWXAYUJB8/a/gsmKiggA43tU5/h0B\nN6TGO1T8csVaQ/ecxaWKKuiapidYA568etU3vab6zfTE+Pi9BAspV9ObEbmRJIcrK8BTLZW3sbmR\nxG5qYnoq4fTp8OqUTCCzcwx5LfUeM+Dx6ozMO4QfeZvRaUWllIrJ0YYUZE45+5wNow1VFOFy8Fn0\ntfB3YE3A6YCfqqv9SoG4v5OuIce+AeCXFwO8XtQgzjk7BFZMdqZcykAyC6FRbWJ6oLK6Ja7UZKuS\ntnP5XdJUsiorC98x74AfQFF8y24yf0BolhOe+8uoK66WcjTyh+D0ITCMiu8k+xCHCz8S+uHN1XNm\njqdvhEifiHSjNsJsRtHN+fmW7ncnpxswiA5Df3/d/wWeddP+o5sYn8oAeBCPdoqx0Wsl/OZCrdao\nR8b0g5NhwDW9q/XUPn+GUXSZlU3Ew0n0SW/9I79+vK7v+buDLTL69TcAXHvFNrgSU2i1fbe5/+v0\n7VLpiezESEHCVYfcwlT0V9gJrlBX9SOHHhCVC5q+0xP8oulp1fVE9w4NPVWRwzbbj+ahx8Hh3OhC\neUqYHRzwqzqvBIMTYZX4eMN9VmfCi9SuYK8n4hJJvSQLwFNdzW+eJgSaBCc9exMPlN5Wtj4rG5QV\n7hgRg0eX5lUzAr6fB1w0cNfzGO37+Yqz8onTAYSeoCLrpGpSAjVslz3gyfNOfgaPwQoPfckj2MxL\n9vbpAec93Qa/AeDfT/qdulVRmLTNyEIhy1hD9iR6iAnw6yaikNDr6PhLnkBh3TNHuS0i0ifJW9un\nEUXFiPbvA/hVZEFce5l3bKC5ufb2GF2JU1jMKIi/5IGQp8TAUQFPDb0JL0C5b9eRS8cj9u5UcSup\ndAm4+tejmkek54sF4JbkgrD++4Yn7S89gTZhXQ85p2PveMpP8+Lpkrd3748wAr5XCMRZ6dib/IbK\nc9U6qefaPj4CfrJS1DhCy9fFHvA4OgHjNzDU6G4gYWtkdmCbyp7YqFBI1WZ+AY+OgQ+wmMiGt784\nqez5cZedxC7xfcwiLB/+j73zDmsi7f7+z4KKhSYIAkoHQXoHpUvvRXoHBUQQEBVBRBRSCL13AekI\nZNxdV92mVAEVEUURCxZQrDTpzPVmEhImBdxH2efZd689fyjJzJ0pn5m7nXN/FbYArwAAIABJREFU\nD6YyG1r8MHA8yEujoqbhrlWwMqu2/oO7eRVo3NBt5FbH5xVrg2fJ4uMoAXdXADUdPzvqCO4wNFPU\nNonwMukGp+IL3a2MiJ1QIuBRRFJpfpqHjIG+6vmXQbq7FQ6Ml4nLR6JJtScNwI24Tu6DGktRBeUH\nc62pceXO9nJm/q5uxw+6XMNvpwD8GZ2GqpRQsNe2SjKSNHe++BSV0DEcHKgjV0bqey5TRT9ITPoh\nxtAtOlZFQ8yVU2KXhB0GDTV5Kwr4Hibu0RgqLebnCDVbHWVZa5SqwNY9VfNLSfrPHD7ooGBq72J2\nYA+L+DGfn3E3pGDhJ1cI8JnLMup5sM+UgF+l1mQ+iNvLvVNBRtH6lCMq+jcQUi8qPeNB3sma7C7P\nBjJCXfyDxA0E9E+3o4sSeoeNtK2kfif9FDXgL7VRRfGteS5qRiGBHZ1vpirsJQQNPU5dCk7KeoQb\n6nbfsqPoZA01dF6zc5FSEVd0tLf3/z0SC6S+CzkQ4EvsKA/cuuJKPAj1TNb4CCrJTVnzhJ65oZo0\nl5To6R/wz/ZKAv4Sj+s6zPZev1xkq6egoadhdVSfX1qbOmfDh4SaPHy8f3M+wr5Uz/mgkvV+aVvL\nltLDpw424caYr2896FkZwI5OU+B+2GeqNvhFY1ezj/SWrZxsHKoqRmhkM66JGGzrHKPoRbeVYOwK\nz/96JKdWXXwdA7/3vVtP50dNAh32fJr+tBA9Rg24qSQ5oP9mWqa2/hGRmBzgS7nxLiFD1+qcnFBI\ngbmjuEaemHSEUHYKVVWSmme3mZWVJyTTNrnKoLYS/Wn4UiXUxkOH+YypiSMJYtKYqpxDRSqIyRie\nNjbezsvPbn3kCH6u8HsBT3xanH6ClL7QT9JrgiOVZJS3eQZYhJtx7bY0f03VBg/eeowvNXGvKqtC\n31hvB7ec9r5rp2PtlG0KGsCPCTWFwMoAVnAY+mgF+0wFuA+T7KzLt3bVqvWCgjI6UNd2rjUF84Ry\nHIwCzqsZHnz/EB0ryk7HwMWkD80Rp/Gy29xGpC0sG6ZWfIfiry8Hq+oFGUlw8O0RPXVaYqeopuOR\nZEK4P67zTkqvtpCUI/0iwlBt+9rVdMyqqKMAcM7P9OjC/PQw7jCj/QVArhzxILTmop/4COwUZFHi\nXrtqowGfASIZPwD/TsAD6NTGxQDIHjSq725VuKwUuzQf43aF3aYafLxi7gPLjIM7D5mfUxBgWLWG\nQcfJ2i9U8XB+/BSUlKNiZQC3pPdUL3SXnkLpTFl+oNjhlKcGm8gOunUbNjApaVshc2+B79IhDTNy\nwFNlR531sguK81MKhNjWrKKTDU+729zmaxzgHlBGlBihfoNbC9PNbeXk9ppLSXGwcavZ6Jjt1THM\nybEsiYem3u/klcoRV2EScja0+J1xPagrvHnVmg1ivzQiTnv4YGoxnc0PcM383Qqg/N4ounQx6y4V\n4LmWtNOn1aS2SHKt2rCBjkv6LDQKnrjVbP19gCEVALzTa/Zecy8kNQm+8OQWthGS5mUUU9hiJM/A\nsVuV+g0m2TwiTE/Wim8L3Vq23eY6hrr6e09eAYfRqcdTl1kuSmnLAI7USgEXBOo/XcMZ9xX41omh\nLya8DHRbGNfR0a3bZXOgNObn9z1Pk4H6BgrAt4uPaXm6nTzsqWLEvHn9Wnolz4jz2ABDNU1r91yg\nhLC6jBrw9ANv212bmdmYeXdsZGLlUhC3PRAZiq0Puzc0PjQ1PtjzwJGsDW6qKvfWUZfdtp5u1eqt\n+tWnTpvqe6FPZAA5uJ+7XwKUPAA/PbhOyhtJ3cmy0hBUlBVkY1j3f6sY6FWDuu8+HQfbyupJT9G3\nAW65CGThO/EPCrBp+ED96+YMnOoblbev49nFZbSXm01gW+dSgHHX6S7GQc+5cz39+q2iuh56vvuM\nUefmwb4TuWiLP3k24LKAD4LRfY6wz2RV9DAiGyXBhHvcGTb+3+p16inRQF1VgP1hAIl4SwG4Cevm\nf8LCw9VTX4d+9RpW/q385+qwBsbiHAJGzuGNhLlEGr3oz8HqAus3Mm3j493CzMgsb7uH18L9FOI5\n+BadFXE2CzFG3ovG1egpbmKybPT0q1czcVgYOHEL7pQpq8JPpEw2opugCa1letFNLtriKkLbtq9a\ns27VKnZlxyeILPQ7XDugTPQ4LpT9UVXZaKHsk5aUH+E/oUv4jwzw5xvoW/iRAmklWXWgAhsPp8Tq\nVas53CVEtjCz8l9fAjDuOmMOs65ft5FjA91mQaU9SmIme1Rz4qegNXlZpuCftmUAWz0e8Yf/Ehng\n7nKgeh/XllUb+OmZmNZbRIQXJwX6RhyKgLbBAM93X69NibLOqslztZRQp2dev5HPtuxcTJGimYm8\nT4Rr08KOtCY6zgpwb9y0kU9yl7iCqZ6ejaZ3hCvUYLRdBM6m4G4XOeCOnFz/eBUda51da1ev5dMT\ndtwuZxB0Jb44ASaEswTgocbGdy8CTXfpCIupMq7esJ5d11Ty8oXauJy6jCKZXrKyPSqfwFuKBG/H\ntUT4vXqnsJrwB+1e9POk4jj8Qu57pubSp7V46DZzyti67WFYz8r8iALwRPt1/EHbaoFYc65Nq9ax\nbFeWOl3q5O+ovF8uFncHPgScPGQD/mlbBnBPAdjjA/tMBri3ECg576vEJmAoL8zJ6RPaeW/wimeE\n10/QNhjg/kzg/G8t126j6tMy8tx38AruCcoEknseqzm5CXqGnSNOedEAPGIrI7NFRlD9TBzKKz2l\n+NKBwxG20LxmZykQlQjkPSEHPPe8vqhS52Sqk6jQ9s27rGT99UwPnel895joq3jzcnYJwLPIujrk\n3MvK/Ppd0jpbuYSEeLwPmdzMS/VNybj52IG8DQ6DJmu9W44f1Ns/bStz9NKiWPz8hDJhxyWGSYOP\nP448ezw4Dz66eq3dcx8zp4BLSLQy51YB4V4KwB1l1dG9+Ous1TO12ikkLqAfGj/0+UQuwiL9OPAe\n16XIzQ5ZZkU/pX3rTNZMO/rmQKbqDh5eDS56SQOzHNTIp3LDUkqNjp5SoLYqLR/IwPWxm+NV2XjV\nnZQjesAuA1WDQ4cOXSGuhqUGPHHGUF6U201axN/dVl/tx9iCCE/DH6Chy0QruqUZ3TFLJWWIBeJC\nlETZ2RS37dA7Y3jh0KHfFpe5dmbmNc3RBvwlEQASJtuy4x22MTBo64lIW8UZ/jLb4Y+qKXlI2Yt2\ngppkVOVxBBhccy0x9VIYSSweBFUJOy45Dn6DibBKhFy6z43sRSQZlFE/pShyi4uY3KeUMqxy9TwF\njbBafXUd9fcZ7JEQCYRyAqHOXDobVJDwAmypB+L2g3/a/nPA/agmQgzJ80CNTfQMO72V5YT45Y38\nfbJ+XpgQhwH+jMo+ohUbq2l1OjFGTthcX9rFV9Lk8hUVdXtn4B6qlehwhwuC30L/gGga+EFXikOc\nX3RXTJS0Lr9ZWawbugXK2R5R0bhwEArAU1gtCS52/l2C69gN90kF3nxA+vFPzajHuCY67RMNwOM3\nUV3NOWmFsSE1gdtZNm+20dux96RPqs/xJy8TClDDlIDDoHHEwVvHfwNrkBDgRbH4rwNuOafgkhqS\nlnn3oh6vshKPraFujRL3JuU0yrnovlNerlXNE22nzuu5SwvFumtt1zjlYOkga3PxxjEkUN8C9icW\nhLqBf9r+HODJDpzx4gFPxGHr8Z7JqWPOwuu3sDI5O0noSPCq8RucQKE+90Hs4Z2s0ct5aCV7ddtj\nZ83NJbbb7hFTFXTxdLDVswzpOlNUSaiiv/R1LAK+UlRtl1kXck5WUFHXNFr/uJ0MhyC/nkvEwTrw\nfeUFu/0F1CE70L/30gw2beek27GFg0/ezDr3h/T6DOz0i2czINhYCySersWiJ2gA7qgAsvpfXyvO\n0480Y9uwYTOvgoK8boixnXtU15N+amdDj+on8PaemeOxYFDVtQT8G7wgFv91wPXeWloneEPCDeL4\nebZyMfMKyUYYaOl63qeai+4+nZZ1606pi6eKpLxc8sE9ZlyaFprbBDSV4vONky7gjvShf+W9Sb34\ncTDeXQjFFqChmZbRMCcxZvp1DCIqinr829lYNSPcYmOLk59ROPxv1pXvc/VS8Nivp7eNhVtXntso\nUFVLw8Lnj+Oefin4ULovyKLFrLuel6rK3VOBI6HyvHu93ar0HU2Mtm5k2eHnhm59lmxrJa9tF0MV\ndAf92x6qtIGRjXH7ZhFhHlF/bFg+OiAsJ6+wYQ5EAkDmo+amflptcHM9UNQHtiECnHx8dTasYdzI\nyb/d0lhI3dAwLREawFJOdPygoqTXCx631rKefigbcmlRLP7rgG+ibV1sJHSCTUv1GLdxMbGwihkx\nC4q49lABHg6OPHq/9eJ+DWU2cdN0VTftPVLCOzYxikvEISwOFUxAvfK/1OE/35KVBs1OzN+x49nO\n9H/ruFVPHZbZzinGp2kVVVsC1SHkgAcxOUHBIkJW6ZzrV29jFoo6ZLbP0FhZ5+yLdNdDxvh7AOVN\n0icexLMDnXMoMbVJX1l8l7K8mtgRWRWmdQwGdrlxQy31WQb65q4XCTtSAH5krkhPx8goLsi2WsZZ\nB/Xg3H7PXLNqIHW456gJugn/0tMA/Do+B/kF7Df1UuJX2bWJnn4D225hD10JZRVH11goBxftmazj\nZJFE5LYk4KG4WNX93kpKdvW6olzbN2xkZmBezyRkMEoFGO9sGMR4ystI6UpFXTQz4eDn42di3CFp\nJyAaF9eMbhj+i0N25t/ie1Jvk2zs92/bzsa8xzf04F49z5iIx+8G0oGiexSAB+7c/XI63doULS7D\nTr9VA4l4djWj6lzzzEh8bfZv+L0+JmJTSSmNPPsmBr90tQ5ejTmzN8dCT13eQ0mCY9s+YHAcvFcE\nHD1bgl5Y2U8BeOLEOT1LSxknBXZmdtODH8Dpk6V1BlV1qI8JQGk4YUKYVidrbHDkUe+XaD99BVUP\nOUFVbqG9B+8D2Zlu9hE+deCKAgav20ccdjl8HChpDczI5lNRXSfHxWxaBlIBfoPPAD52PSnSAxN+\nr/snVwsdUe29+jGpkSp6zgFZQPXN/05M1utwVQ1RZuZtTHU/IBLjCoquQ+O8x01d0+SAXyWVJj7H\nXLTRC5a2EKMTET31Hpy939SDq2heNXcshK32N/9EmlCByuLKxFdFRmrH71Hn273fxEZHNgaaqJju\nanp4r4k4MqUA3BdzxsVIX9ZXjlec5TAU4/npZuvztpahT2m4/jvBLUmzFz3fUFTU+DHa0VnRzE3V\nz5lbS6dttL2lIQ6dAPUPVtCb1GSxRyHCv64MqLg73NZsryG0SUFdMm0UnJ+hnOh40tyJu4kz965e\nbL6TFG26TUxFyu6oa+M1VLBNwJUCoL75vwJ48g8rDW5F4W1Cms1DcZkoMuEdOOA7VUBVZ2eMXTJg\nLbaJSVG1gOZPkw+T7lRinFVLgUgfKwNZXV87Q3tDGhruZIDnWgMdS89YhDlqG3EK6N+D7TZ/Mz1x\nIbMYTcB4ufrJPiMrFjlZT5SnQ0RwBfQtKhMNBaWvIODiY14aXveGcT/8GXdWR22098jpFMyBbxBx\nhi+oyhLtJ0dZUwNeRe06IGfg5Smr0OtjjZmYwf8K4J6SZCtLfXVh99BecPI9uQ4OLDFW5y/pdRnt\nnc1nakpvXvRT0zJqAmkZOeCnsb6+odHVqIY0xJ6o8Io3vbSUkckAv8zJ8kGG73FzLrgZc+QY+UoA\nkjopTcBzyKoK5PyXtkuuvm5qfZftT9hfh77Gi5+uKOCrTscsfsdVQ+/x7qU/ThjaxV153PmqsR5Q\n6KQqS7RQP1cpM71D1SUXgjsmv7wamgPn3k/8d8JmH5Sm7vdSCHCLvkNo4ObGFqM/4Gl18ituNMZV\n5jTe7JxoqT7rUbmoUQJ/6ckBz984mV2W3fph5reQWLXjWQ3gFMUSBMjIAL/Iw2akl5496PL5Q0h0\n7K0xmlrZtCc6hjtujYCNRbleAXZW0Z+u5v8Cl5ZbQcAzV/L/mB0jvgm/nw70vNWZWZkIYAGFO1Rl\nwQmCzjoiC+FtGxzdcPtQZglMMX/lAd+RxdkGeFTllxtHXGJkJCx8CcSmGpIRpBWCi4D3XkQa6B+L\nqMXHoLxDJjWR+N7HYGACaRQzWTPNaIMYxBjYVVnpdtjb8B46cTE2kmhkgGeakwKjjHOB1JEXOUgv\n5VgULVXbpZ0Nk7Eu3i5q8qbqqBvkj9LKxmSNIZIXfn/+hLun75mgeGzp7+gkg36qsg8x8fh4hmfo\nhGv+CgpuH9MXxqYE+690suZuJ+ry6WmEEe7V4yKghrS0AvYGJ3kHh5wzO3oG3yxOj5MwTWLwicyI\nRjlV+bIYWVd+D3yVUqHtHBwdiAXSKBU8KTpZ84MxCYHWpcjZkeN+XlYJNIXSl/EmFQSEhNsEuslU\nlnaDXzo7SAf7HsBO19opJP/vVhCF7+f9gkN3Xci2LUx8MzVO7U2aQQNAPL6Gm/wyIGpppv4GWX6+\ntJ0o2vVfWtkwHWpkYmwLTWxA51YIVJGUYGFt8CUkJuisRTiSMnXIVBzukaSZuxAq+yEhyScZd6/B\nF3cvxaYV4wCnUKnrUfSi35keP2LbhWtu26PjPBLq/0PALfGp2UfSwmxrSu6DLaXVaOKCiO8BbJtY\ngyHvHHaVQY5pvJ1NS9WvxEY2QTUNNeBZFABgFs7ho6+3j/GHka7qgsWfWzHA5PUiBeCRlEI7kSPN\nBErTTZgbJEVQWC96ujEmLSSyDkvVt+pFoWAh7hSAnxXWIP0bCI9wI+ZGHyKOOnkSBeAP4W4uJ+fx\nZxKXdw7xhmr/ZQGP3sA09iJjLmBwByUt6wS/D7B9PpBPrtv6pQHTsNDzeIFA/4ZAE5Jk0fAHP0Gi\niEmFwV8MDaAbjzst0s+tEGBKrXg84JG2loU4xbmG4oI/SLXs/PRiEwEfJs1PzwyhSzOIp/u+5ebC\n6vQZeEguBeARXIm7hKfrXXPTJ3xCeUpbBGzdfOsLOI0syr9JPJNpmuqWi5BcLzVRNJBz0/Pg7Mw8\n7l+wraAESTzed73BCAr15fctre9Ir8zsDOmqFgHbN91aeADgd4fQHe3KWZQmXiHAlFrxItiBGWg5\nFHqhj/qlt492Zhc44KmBcfADSdh7BlV3kVZSFMo2+GNPP+55mRkcmV6iABywMraiDdeDIaTgXrDx\nAepTW4TkkFwfTTPbBf4cnzwicfkewM7NDz+PDCyCwl17LU3h3EXAe/BXsmAUlzD3/CFJuGGFAFNq\nxQv55CAn8Y63r/wmDPAIKjcOlmtxNJm24irNtUmTyJyE7hTa8rQUarMoio2DmFxq7fJFSE45aJez\n9yi307Dv7EU/T8DdMeJnSGk3/qtqs6QroXkJC7ZCgF+EOYcRQ+khZQjG07hWoC238AYtEXK4wQA/\nvABchCkpzDcU5FFqO0NGE/CLfAB7A1eglUYBOGCFogxKWG21QAmVOjvsDQ5zdq1B0XqbKOw7ATdi\nSYsRlr52GGClogxitDftS1iwle9FT0LSLmYpQNrb2RfPJqFRyYtlBE9hgJ/lEVKWTb54g7+fU8/6\nab2PMMBt/cRcam/TgOqbSxSAA3Z48mp+vJ9s+upuKZBLJc4O62T9HlZVR1nzf+qnnhD9TsA3q4D0\nxe4e9aXgbuMUHLDrk9ekp450CVMvBikfxRUCbLnPyMgI9tmjGk2MIr2TmddAsyODNxjguU50O+6B\nmL6Rn75clbgI2CmygJRK4wG6dXSJAhS96C+IgiT4utOJdnQnVT0D70U/RzVTSHsPYgrQVIPt7wQ8\n1opeNuFbV3r+jZkloionFy5h5kZe+l2KcisEuDOR/DMsrQ6UPJPqbpCMegH42yzqdhJui4BdcigH\nF0sYGeDnhQD1SIzSllfZuVUDlHdTfvlXqOzADDf0yXq73Ap/nL3LpL51KwR4jiKFhHddB9EOo+MD\nmzqWMjMSYIOFb24ciUcWLLl/R8cPi2/w0fijvy6zJ8lMSICNOjquhSbElnytBLAIGKDeWhOVEEH1\ntREJsMmfOSec1S8C/uGrOxeg4o/c6DAgATajsU/DkXgU5a2r+2tmsmpgYl7mpo5Li4H5E3t/X3yI\nXzmYmrsvpx9WSzxImYUppRTaEgchzhqPQwexNbXw+GqReuJBKmls9LIytaZSHDtM7A+MHvxTJ4Uz\nLPEgFV/f193c1AF3EGKTNELzILhb50b5HfCXAP7X/n+0fwH/w+1fwP9w+xfwP9z+BfwPt38B/8Pt\nX8D/cPsX8D/c/gPAFfD0edamFqZL5fFzIM4gf3GCf21lZmG6VDa+EuJByvEfzSzMrL6Sv8+ROJsy\n7vjnCtjYkKIXSmlstDAzN6c+CHE2ZdRx8cvlLt3Gppx4kJKvns+CORFnU0Yc/tRJ4aziLwHs3QHL\nnncruSz95hKZ9ZwWY7LgX/+eVxbXQ7tE16I36Rbu4yNUWf6vX0nf50CaqrT9cwU+3lmcqrxDtfFD\nZElp1FvKb21JU5UOi1+2ZJQlUf/Agt1anKrs+toJLdh+0lSlE+Wm00Wl0a+pS3TYQd69pb093wq4\nF/ahuwKovrXEjkvICTdTCjgvGoU/GPId0AqbgxuVs+FrBZZ3NsxgAKKUNcxoOhs6aoCyJZ1E/5Gz\ngWDL60XTcur8zATNVz6g3kDDvg3wcOvPEQWY/r4f8n5/34z0OXC04tem25CH+GVT6ygc8Mw8ONHe\n9BhsTT5VHG7tdqCxqQV/wp9amgbBmeqcaoKHdBGwW23TE3ACWZD09HVxolcI+lLOb3hxC3C+s+m3\nBoKP70XTzVFywBOhJwOrf0aHnkvKKv619WHTzTHSQUBwrrP5LuR4W0qjoxn3q3OzbeFHzjQ8KkGn\nNfzaVHPjQnbh0/G2JisSYJumNmJ1PRBXAOkczs+8LTgT7eESU1jw452Z102teHfydwOebCctvwKn\nkAY6xzDhwTm3JmeJ3s/3zdU/pgn/yZ8GvxVwY019TIf/Phkd94PWShJb2WWFtLOgdYVjGGxVMwyw\ncdy5u41l2OT7pq6GArwKLBpyqPNRA7NjA7EX65BPzztEuC6oBix6k5KxSe/ByRcfB/y9pOj5WJQV\nNUPA2cHh4SorlE1KaVBL3/go/iBkgIcS8iOi9zEoc3E6sfML2SLjmybuDICIi3VnXsyCvXlALnRG\nS2t0IHqRqJ8SbXyyVeU3c/obHTI6q+dwwPdaJZYkp/dUFVuxICjSi4q+MQ7OXA+KPOGosl5QgNHU\n0tzIzaOs5sbg5xUA3FGGTSG48WYfJBop8OxiExMy1HP1OnF3ZGDgPTiPyN9vcYznT/40+K2AIan5\nHx1ktq5nYGXiZNlAt5GeQzoWdwOG8H7fRcAqVc6hh0qAgmuOWroMIutXr1snpKueVo/MNKiuDzBW\nlg8IqsLvSO0PvodS3864lnXjFs6dwv0NmfH1SSF+1mFW7AKikd1ZVHrRuCoaFaqwXYZ9C/uq9Vs3\n7dxppWdv0hgH5FomNEx3VgGVkMt8aY0OTAwAHCl3D03lX7P6/7gYGRnVeBT4tbWqAGViMP9TUrjU\nFCT6PzuVuXeHMRM351p2js0S8vwK27bJnPfLSOj9fsBNWKDwGfRpukhnB8uOzVuY+ETEbcWk5NRD\nTpgm3Z5CGQvwquwg+4FZ2jEvBPs2wLcz8xp+sxRj27B2Ews7/Rq69ZtZleWrm5qfN+Sn34UB3pPh\n7hceVIB8b2Amtotp/dr163ZyGVz0Cs84ExZoYGbNaWxMWL9CFdExexSlz8q6holuMxs3xx7zCmxu\nsZunq5G2oqR2ZPMf0SGX5mGA53p+Dc6PPGTCJ8jLxLhqzfr13Nz8um5eae1Zx5HYvFdvMQVxUEDP\nElV0S05OU+xJP6coT3kb7jWrV6+n276Fm19il3bs6XwZ4pU8VcxPxZ/q3N3D6di4z0nSopJ8W3nY\n1mxi3MIjuHWXHJe6RwQAnGgCSPIZ3wi4L6ng9B/XrrW8/UVtj8rGTRvY2BhZ+BVlxUyUjYzdCzDT\n9QbCqnLcsOKUmrEU9m2A51/3T79zEeRZR7dx7VbhjYICDHuldCPOYePf9T98Pw+rooNkAr1S+76A\nw811vAKb16xbv1vENFXL79A5P5S0sLkjMXAK1slqfQ6NGvosw/T4zXA3TnA7w2Z2Zv3qy2jMxSdF\n3lpiaqfvdGKKMl7AAD/JATL+ePuq5oR9jgYT3apV9MzcohzWRpFzLy8UAmlDI0+e4gNOlwA8+/Ll\nbKa8pr5nlKks7+rVqzbTcfNKRoTYJuS29TuS2mCXfsI6lCc5qXYn7xdYsW3dJqZjpsChIMu2x4pL\nWUjBuigJKArEJpHEKL61k/X2aXSts3NtULK8sCyngKCSKL+m4D4BEXVTFW3VDMTc60NeBy34YcUp\nNWMp7Ft70bi+Rqw3L/369VvFdUUVtKUUZJ3lLIGcgTspqe2wTlbbGTvDEATUPXln4S+8Zj09t2Gc\nqpWRdUlCkcNuA88lZZQ6s3x2CfCpaamFiWzn5OeTvv55ZngQHe9hIWPfONFWC5Q+gAEmpDIBP0al\nxxawbVq/jm+TiKa61CEs2IYJCuruTUhvXErCgWipe/UUnZIcBXbSr97MwblF8KeO2PyYW3M0etFd\nFcCFphZ7dXFmHv64KEl3DWFVLWN7HQnFkpkedG0qkGNM/M1v7kVPJNR6eNUElyP3bN8jLsHHqCSg\nZKSj6I6OtNENGwDn2/wPJYrAilNqxlLYtwNuKY7dw8WyQUwuQNv+RF2trImaXMaxX0OqkgJtFgF/\nQp+2DD9Rebe/pTZor9CW3Zzy5gfcTPYZtDXnWJ/KXIjDe0Gxwh9nb48b7TK3sXLlUTIx27Z9s11B\ndWn7H4nH/H+AUL1MLI77CAM8hClOGMCe8HZz2Weqx7GdTcHEINw342jVw+C4C3EzUFqJZ+0tQ0sA\n/th68/OnM2La0nH2O5iZt4rvZFM0uQpezamDws6pAb89FupcFekjxMwKVrS+AAAgAElEQVQi43So\n9pytm9oucR83VKhzefsoJCdzxpr4w98M+GnumbCTBXWJOY5H3e2VzeSZtjLsVXCOvJwc7VR5F9/c\nXmKBRHEWcMA0Y2nZNwOevuZgx8nIyCoiuE/c7JjecVVOxSAvZJ3N0RAX0opm3Dh4JN39iOw5zKE8\nd18BYQbO3dySKlJyey2iHrU23HkIVcZjnz8l1CfDNDqm8CLS5RY8orrc/AycWnFpSuKqu4wORYc5\n6KmH3ZyZ/DTzoW+ErJP1ue/Trd3GDPw76HbvEDHXMkCeyh0KSanwcgq1PzvfWAck/VxZi5qkCXgW\nWVMdi4h318N47eNbz7SZmYtpl0rCL/vD3SAlSmrAzxIs3dEiniqM/HyCyuirTv7y3DI+Ii7anN4p\nV2bBsTvXv3sc/DapBHX56fPZAYT7MSn9vRIsG5kZRbh57A5jz7h74vVvwCs8UGTWwlQeTDOWln0r\n4FFErKoA+/pV9ExMbBuFzTVld28R89azzS1QcsnfQwxwhCY6/kBZ6JpKK1o4ighIsK6ll1TYLczo\nGhzkrqlhH4l+DT6MTwHy4Co7dxDpiBFwHhW+nV15BwsDq7g1ip2FmUPSRZRPVtnaNDTyXDoCejAo\nFp+V7BRcv5FhkxiTCNu2jUKC4t66Pi4GKBmJkIn3iNgH0ITBxyUlHNDomjiT3w/L061exbKRa+va\n1fTS1hEnzoO0AHcVex1H6Osp7JRgoJNHS2xbu5Fzt6eKCK/YQQvz62MNaSfsib/8rYAfnDzodgk3\n3kVoqDuL7RZiWrt69RqmDVv36NVlBwfk4peBX4VX0ZSasRT2rYDvl2LPim/ZtIaRdTUzG4ukqIKg\noJz0GTe7lJ8zi+WJ8zwQ4GfJ2SI2ynxqO0zF2Dezcm5m4ZOX2e+gbSUvLO5Q3zSPq0AToorPwXSy\nKvHhq20nbAx1FXk2rxdzEuPfvHETF4eQhuQ+Xaf8M6lAyaPJrlYKSX9Akm0Tzw5G1i1sTMzcrAzq\nGma2nuF+1scK8Sl+2vPON8zSADzzoPliQUFzc0FB02Ao67o16zaw8uD60fRbuewsoWqPRhWNibTD\nZMbZ8LEysnFrcW1jWM/BKqdipSYtb4EsbM4Dsr+7De7aH+RdjTvlmlNyUrv4RZTXrqX7v61bNgvy\nHrbSs4vHTwWSAabUjKWwbwX8sAgokmXmoOPiZmXkYGNjlpI2i3Wvyz8/MP/isSvZVOXg45ADqnxy\nisfjrHl5tmzgUzh97nJTkDgHF4t+5bUZBBZIePO4dbGTdfkCUIQbkMxePGFrrx/iJWTmxK7EvnW7\nwEY+CcGSsqySoylAwZP20joFYiA9AXCHroSsTXwB32Z2OkZp1k2qW/d5mVT5eR9EPoO2zj7vm6DV\nBt8rrE9ofzo9/fTJp6QArrWMa5h51DbRb1nPrOuIHwHTmKp819P+dLTvRsBeHkl+F5bNG7ZsEpPg\nsDux57AnMudWRkWyCXHHbwX8Iikpow03Ei0qDxBXE91htX0b0wYuFgYubjkzjQWxSDLAlJqxFPat\ngKdb0M0qvIx0a/kUtmwU5NjCwBGGvBFkfBZqfinmop+fUubkkgrXMYjk3sbMrq56tOv1CR3OrTuE\n9vpgoDmkHrJe9INmdMsUJGnhLH0m6bCvw3YhaSVuYWFFPm5myasj58T2RqNvzlBL+r8OMTXSvxvA\nsGod41oONmEBXlMltZpitNOFxSl5Wkp3WKAY/4p3I3dJ4mroLeqC+6I5Vq0RNre9DM0NLhn4/jbb\nnXUtq5zcWsadmzVEuXd7xFSiDNsmC8wdSB3abwU8kWvmi3tPbx82TfHSVOTZwEjHzCspsJ2fh0PI\nsIGwIxngr9i396JBME+KjVWfVY1XQZh+mzDu5KbjCMoDFIAbsWcUlVWPl1YB9qKMmySC3oNNrhHm\n4q5hZeVA+VKS/i/zijxDjqaHhaobKfm4eMvI8u/eG5X+3CQiwgQ3turMoZD0B2cQJXFFZWbCq9fR\nGwNeNr5GtsGOPySWJsHEOmgA7k0vjYPWSs7EJOuyMzOzc0pqHrkcWp8g5euSDM2NLAl4EmEpsI3d\n3tJTSmm7nKC20zVEScFN8FUukPXdVfSzAqCuBZ8DGR3i4rlL11Za0VD9sKah6E4V8YU1LP8twDNY\niQMhEpr8khxiZs5p4MTHs7iTmqIGXBNvF3P6t9sVxVqyIuIu7+bGGhEn3Pzqeu+VABeWkvR/nQVk\nOsRaW9rbHz3qno8+X/XzWVRdwjPDiOMGuFH1fP9DZ/I2GJxoOVV1VHXHlk2s0VWIlp9vxGWebxqC\ncluOExZwzo/1UgCeHpsHX/fg50DmvA45ssvIi9sGOcbWmOdg3eNrUiAfx5KAZ95FGwuKuqeU2Agp\nKZgmZnS973w4O9afBWR8fxWdC9TcBOeRWCD+XdMVKz1DTn65vYXtVxJDT0QtLDf8bwEGwZ9kmHmZ\nWbZyqhgZ9vScMvbxR0GdAArAnYbGZzAtU2OX1bcxse9DvLuRHOnDz+d8B8cE00KI6qcGPHcL42tu\n6RLoZHPARMourf3jEQMVt6OYQmXRg4TlyVTJKR+VpDiIsm5iEeHRKx8Hp1vP+KKbcKPGWwnoZ7it\nsy1Jx+2IB8GXHUImNREncVsEtvNK7GDcapQcVgDkBsbdQMXhm/ilAH9AJlfqyUgbPPYR2Caiuu/o\nL2dDD8fWJ6IuY46RPKQLZZfMAvDZXMUJ7yKiADzXjmkaxnFGo3vBZ+hDAiyiPJwiibhej6GitBEh\nbcaljVAuyWUEFWH2nwMevnOPKDTR8YuJgRUnKw9z8IO56ThUhEcKfj6P8g2ur8/AdQ76CwO52TnF\n6i+i6qr8ncN9YnBVLfEGkwMevtM92d/RF+XmIx2d1JZir+Ng3tfoGnFYsw44nlu/oOZDBfhDlI5O\nIL+KsPBBFF7LBjf+zX8Ofk6B8sCA4KscIJs02MaXbakD8ggM5nrtzUX59EXV1eXsQxPKk/tnwXlC\n070U4JsXgdyCoq45UFmLfaNcDKbl/IGgOHMstnH2McU4eOksAIVZoN/P0B9U/uAZKHNjx0scfSTW\n9UCS9NadO9xfdlRfUDAKNMLf+r/0DZ5BVlwg9G9ep1RH6eiZ7dHTs0h+Mj+MQoW7ERxdVG0wkP4O\nfJmKMJeT1zgam+ydVJHvGuEdBVu/TgZ4GlVxoT6tOv14aXpQ66sBjEdAYNhck0uEPwQ4D6jqwO9I\nnT84e7eOgupxcz1/FF7LphUHoR8cTgKwkLz1QBaQRQG4Fsgh3NreTEN1sR2mnMomesH9rx+Qkh3S\nBDwPaUG11QDeNsEmr0A93/3ckfWY1vPeR+LMoIwzlN6kpbMANA+AJ/EvJC2H/8OcqkTcvURgXb0q\nnDVMLQKTq4/FKxgeMcTLOvylgD+nEXNRd1cAFad4eExCfYObx5uTjh3TP07IMUIBeBARh/u+q6Lc\nQVdO+PDZWpTxjb7jantDHy3+NBlgSPUrqBKo+hmBvgd+aQyxk9etGRkOMfK7gkL1kNR8qADPeCoK\n7k5D+jmq7PsZes4/IjAtuDenC41PNT7XhgklzUHgy35AYFoJXvSbdXECHJK2LgpK/qVJTXApNGrA\n401JTWPg59ggTa0jHi1gq75RJhL1cPTGUb9zP8UhBqkAL5MFYD5PE/8+0gLcUo8b7eNuICL8SPgB\nNUVVvxhs0SFvFf0/8FspAK+ou3Cy+0h+Mf4NfvdreFm6HyY9obljaP7xeaDq5uTCqn/KkJ3Zz/e7\nx14lVyZdOZwbr5Gf1z4HfjmTkh6zhBDaNKK8CJtSmfpidublnbwjyKN+hRV3wLkv05D2DEnNZxGw\nbVcvdIVzzpqa/E2TVyMQcdfxG+YIvz+zMFCa7iO9hW6/db0jbQfBxxkoJ6TFAd+WibulBYhrsEsm\nBzzVc+/z/QtQz3+u/fhhLUW1xllwagKcfXK3f256ehaExH2o3uAlswDM7Pch+FoWATsRrgRnjzIr\nE1733BuZHb8fUF4fUFxsnZveOz0xAb7p6psjB7zC7sLm4oIgfBs8iq7AVLWahBz0TqtAjD7Kwy5U\nnSAF4Pmp+fmGC6UN8y+7fsqxkw2wzLuPq2Ym/EKC/RZVZCja4HtdEy86cQBfJceJqMmp2njkLaeT\npVhRcBuHa+JcoJ5Z7PVYSzWfPJoqIjCNDmRF3MjihvlnVdk5BjrWkc+7U7wOn4T1fskBtxaVozov\nAGVd4B20h9tRGUwu/rRepOIeRmIJSsBLZwEoObOw4yJglYqCO8RT6hpsLi5DztwstHWpCjxfh7j+\nHKodP2Iqc7rJAa+su3AeP6sLfXqZDxTqB7nIG9gAWZbHSw4HIkgSF3DAkPjXJyhr9RcQjHSxENSy\ntI5FfALHT3p4hC3KkZIDnsCVeQzVz10VZ7VNBJgFNMuppRwWAatDwRZjNzBpklxyZnYFxurWKJrK\nDzCVnVwKGYERdIjzHlE+2xvh8n6FsN4pOWDIL/USqqLrVWSOWCuqmbhEQts6IcVkYgmqiI4lswAc\nFJKUvIw/G5oqO/iRcNqnky77FVWk+PaVEp7ZJ0UA0EgOeIXdhc0l5QSZsJG4SpsklFyAW0KBkyva\nqTZ7cRAFB3yvFLjQ3VCKe4MhRchQPldvo5yaVnCuoai4YVFbhBxwN65MEBZIHH2ZipG25ZOz1LhN\nfTaLgJUqC2+BnRVYK10NYdno8GjbXOTX3mBUJfwNxtncvX1K7PweXhjPw+Ew9RaKN7i4AjU1/2X+\njbmPkbQfSkXP/Tz+BFKrUklv/RIhO8uJxMPe4MpC2JVCt3rmUFDgLntXDcd0QpzWx/iqvG7wMkc2\nzhYEGFoye6rbwCXtPwU80d258Ka+ux1Sm2kdk9baHlSW4FJX9Ji0IxxwVzlQ2j165y7UZf4jPenQ\n6Si3rNpWEBy72wXrzZADvleGAwwAycNgf8uPGfZengHPqM8G1gbf7pkGb5djra1dpC1rKpv/6KQt\n3QJTuvvlFoU8BThz3Ft8b6BXfm7MFZimDTngye47+GmRActwP9X6fA/bmBvgHG5I9fzWc1KZ7wLs\ndLsHrnB3D3erz6YhDN1cNV0zF9TG3tzqnQV/YocA01LUpbbvmejoR6PyEmN+xZTGng1OalhsUeGA\nxxBJN3pRcfh4pgFk4rXY+AwMgkLghhIwVKYbHX8HnGzBNI/+bGwCLCtlCJV9fcbwRHmgiV0E4h31\nrgu2vAhL7zkNzUPVPqbBcPWxJcbBFaZGf7xFHAlEDL5CxZGHJ69sXPR4c8QhVEmQjuapm/BKiayK\nphRDorDvmsmaGp8bf3geqLg5MTMOOwGyTtbs+CzkMcK/VNPj4Mz47Dg1LoqZLFwZcBLXaPcUA6Vd\n858/05IsIweMxNajP01+mKDx2yRbHjA4MfZxDFFXjfkTgMEPw9BM59g0bqAKJJJV9isLGNfA4bpd\nXz6NkMtYkwGmFEOisO+bqsTZwxKYkDDBKIZJkM83mUbWBZjRVLqDnM5ABXX/mWAUgAEg9WsKi18B\nTOtMvyajNI87bspn+DcrC7iTpDBNZmSAKcWQKOy7AU80pqEpbi3lOLgvPplGLwluSwAeQ6WhRmjs\nDhk54KfxyUstpCHZ1wGDjynO9Ks6WU8oj7uygIdxN4BGOoP/nrMBsrlhyokUqrVJE0upahJtCcDg\n7PCSK6wo8yYtrYlHtD8BmPJMvy6ERnnclQWMuwG0BgT/XcDUtsTis2VsKcDLGPVc9NfszwCmsL9Y\n6Y5gyyvd0bJ/AdO0fw7gSxugJCl/lbvw6/YvYLKyX7N/32Ca9i/gP2f/AWD3ChRl8hS8fWlB3SLr\nCsDlhDtQLRM0ykB5J5CLUvC0AXehmkbAd43IxyANWxbwRAvqMgJJoVoLB9yHbKQ5uphpQ9+EDaXh\ngOc7UU3UncW5djTZBa4YYNwldODvKnRcip7cXwTYNRUub71otyuAHDL1bRjgp3lAKc2R7DgGIOSZ\nxhtNwG/SgZoWEFkHJNAaKi0LuLMMa5WLRZHPesAAd8cDdQiqUiAhGhg2NQUH/DoTqKKe832SD5TC\n5ZxXDHBnKZCHv0TouDfJS/xVgDNpSzm31gElZLU3haR/O40y+LgBNGmGaklJ/ybIhUNTmnpZwG21\ndQ6ZQOIXsi9hgDvJjg6zrgqgEvZAwgE/KwSwzVQFeigucMUAQ5L++JCI5wVUx/2LHP6uJzIR8EQg\nr6434CvZQXQWgmw0DgM8ishCv+lCtJLfahDKM52evKgBTwn4fmzLGDiFyMQ8Bx8kZTTRGgtSAn4e\n27g4xf0GnXU4Po3iyYIB7mtOT6JS/4bsEzI78qfYZ8SPcMATiCzMy6GG6y/JCkAXCMs6snKAcZeA\nwLcIk7jj4t6rkeZYUi7Av8rhf2cI/qhMobF1CPxbMDZEnsOGLK3O0PirTKCCeppp/j1s/osCMK5y\nhmrDmSGobv78jqbzjwLwOAZbC8vCMD409eEDxSsKb4Pn3i0xsTkxdK4WG09sa8k6WdNDo/OIOiya\n/GInh8ge7pXrZI0T7+rMENQEt1YBqURHylVeaPHZwua/bH0wlCYmjmblQNGLflIEJTVe1ihVdgq+\nrtBPARgK5PpKHpU/2YuGtwmUvejZOABIXmryFG9/WS+6EQvkEXds4YWWjy7EtK2cw9/XgFyNS0tG\nRoemshc/saUe3Al9tBSXlTRaXgvMiKRRf9BgoYThV+TD+Iju0Nc80EdrLRlp3eVLGJJW8Hgv9+O6\n0jKaRJ0zPmI+yJc8hC90pGW0lj2IgR/xIB5fuWaS8RJ7rv28y/2wpKw4UevNwB+GZeUc/pMUclzv\nHz3+QFPZa9Ef8wn/efDhi6+JgU2RH+TNw/6vlaA8yLtHfV8rMr3UlZDbk0fvljrIxw+PH73/kweZ\n+NrpLHkQ2vb84aJO2zJO0e8A/K/9/2j/Av6H27+A/+H2L+B/uP0L+B9u/wL+h9uygJefOPjX/n+w\nZQBTpnh//yfT93Uselfu/dki7/7jgyx6Lrv+44O8+wsP8v4/PsjilPzd//gg3wWYMsW7jy1VXj0v\nC1VzKGegi62y9h4n4rfCROfhoCBuBz1VLWVP4iZvJ2ea+fk8iAc5QMpc6GUhL6WhTJGR0M2J+IUw\ncbrsteDCN9YampbepvLKTgdomz1puszLfold8Obi5H3ggIeFqu5eLVbidOMLYVo7KqvqqmtaOjnB\nch7aHSQexN1huYPgzNtcXFLd0uuA4OBCiee0DkLLbH1XBDBlincaER2954Fy3Pt694RPSF0dyWkJ\nm4vuKwCik4ACIvH5lsz0Rb/D/JOOPkIrQMtd2FOMDk47Tz5rPIDJRY6C727dm6R2F85Cmu0/2vhi\nSD6H8bu34S6FPzkXfS81q3FusgpZYpMLkxOmFdHRWIc1KwWOx2W2guCH2114j9l/MBfda6Gs6I35\nWnpZmiVXLMX7CfhJUgCeGvwEeUOhqHf/YF/pvBJSzQwD/KgEQCKAlO63BI8Q5KDAkBwUz9NrMp7h\n/6IFuLssITAlvXdgEnbMm3VAyaMv6OqSm9SAIU9PzNmDofbEZZlgY3kVEuYNWR7w6MCCSxPvbLh5\n5qjbiVRAvouqLMGGByZwe2IB88Jak2ogaWwKVVWKd6gsA3juzRBZp+YPLyM5feM3/zvAmboolXOE\nP+9Aoh+bf4VvnULkJPSNI9KQuJfE70SE3rF20nwyDPAXRNrZa+iqjAzC6z1NcjFCBq27JIQG0gI8\nikg8FP0rJgcB8yXfvQBk97/NphIEx9tQc9NzxEkl8ZCFRwJy/aTC1iksC3gInYskLFFA1mIxY6hS\nV/vQ600WS8RkvcKd1jj4PC7lSmPj8TosavpD+kIEwTKAcbVXB/zz8xA5ae+Y/yHgA7O6INxtIXIV\nvvVVHpQHYxYf9X4jLPIY7EWDuwuhHSbjASCBELj0uqFhMRbqVVJ5EuHiaEZ0QEWbscB5WCKPqZuo\nzvlJZGl+xxIRHYMZZ/ILiHe2uagECQucXxbwrRriIpGPjQ3PwY784jNflg66a6kHoNWUEyM4pkMN\nDa/BaeSFQvwzvDTgsSRc7QX3Esx3HTx5Hjn5vwNsPtA3Dnc0kgN+lwrUtOL/mh362NcDd5JSRlXO\nIbFY1MKdHocHBwwQBU+WjKrsqAQyoX3I3OojPX0zS4XstFUtBo5N9fYQS316N7884O4SIB96kiaG\n8E/iDOGKlgJ8uwLIfjk7BLvosZ5ePLylAeNqL+ziwmXohBaO8j8DfDMLrPwJ9pkcMNiDbhnB3c/r\nY6URMeTZcigAT/f8crlpAFIr6nwztBDeM9F9F/5IUAOevH8Xql3Hb6Jv3Hk4M4rIPPbHAAg32oBf\nthQF/ki93OV+cvrlO7+S1PZpAJ7qQNdVXx39jMxGvn1wl7iebCnAX9qiarp+z4x/jjvNN91dsGDL\nZaroV41Nb8CWKnwkQ3dyeuv8m87HEPD/GWBKowAM9iORv1oesUW7hbr+RraBAnBHYQUaV91Nllsh\n0L8uhJI1l5TB+z/UgFuKy5DTz5DIwdG4ivw7PaWZBxEJZEt/aQGe/8U0wjSFWtBjHgVUmhcgzajK\nwu1ZiL/Lyc4KoPJCUTmyiRAMuxTg8T8MkQkRuDaqpbjct6gUpijwlV50m80RmxbcCZ1ydT39PL4y\nB4rg/LsCnkRFG4g4RRwz93BXOmiQ+RT81IgiRJxSAEYDQA5uqNcVFWEgpLU7ANdxHm4wSgVOnWn8\nSPwtKsCQFggSa5hdj3iRDwBnq22OBKVCT8aLwwbYicmW6DyEBQ3AD92VJMVPV/shLqBKY5sIVQQ+\nAhpRn29bnStH3I8m4HaXIAcVf8mwQg9fSUOTTHww7FKAG48rWwaKpVYX6fjZa0a6BkU3EKuXrwCu\ndNB2iD4Sqqd4MkIvT9cSDfVb/66AxwLEtSQED5me8lJVFw84lgU2XQSS8cgoALefczj8AfciJ9kK\n8vOpKKTOga3VaNdEk7qLpLgrCsDz91F5eRX6JQc8qtG9QZkFZWXx+3zLcG/w7HH/CLvbXaVo31zF\n2+Rln6Ga3te6ConxaYejslyTXdIJwcRj8UAdEhxCRJ2oQn3lDT4ioyCo4iqZuXuXIvsBzxJoCEwF\n+G0TCsJxPkhLxirUrDDRwMBph4Or0EUsYuElXoTkWI/qASmtRt5M4oC0po2AvYsOSkXTHcoq9HcF\nPOXILyLqhAhEm0ejVfwiDKEBZA4tKcPnUSn5uMHy69MevEIcPL4XodxANdFVyTBJGQrAjxKBsoq7\nfhFH9iN/TcoL+72xHjj/213cSzIZFhzh3thegwrJUG0lKzuOAepiAQc5dnW16AsRTrG+SYSwPVIw\n3ru7S7fBk5+g5qJYTk9YK8TaTtJgh7yFw2koGJYS8DyiHh9VecnNSyHsQl5TqqnDEWU7J9UqqH88\n/KBvFgbJNnMxDJJkLREnAs6JiCvwR6cfynHRj4D0gf8OgJ9CUXwsP5B9NxKynYXR5KSTh7MzSsdQ\nM3/ycVJOI75dXQRs++DJLPikICvtN3AEkRjIvo1ui6B/y+izhBzkl8ZsJCk0GQ74VfdPUXaZ2Mbb\nOhrSKe87EjIrrv1+CuN+rBlX5Y5ftnAMfPM2LtY01egxWdmP59Kz9cNV5HeoGVoauYgfNzgb+vvE\nwP3Xc81ZqQtr5JfsRb8/F+5xc/iBk/1eLrE9mpY6ysL7MD/iV4vQiqrE3H44+To2dr/CPvdnhha7\njCUsDzompd8BJ1Cl+bdhkOzygDxKnZROhOnp6EgxZm7ZM1k/xOzW0K4H/x6AR6AZbp4rZN898uLj\nM5C34ld1DYlIkdG3+W3+8xtc/3UMnrtQvhTX4/lyyM3h5Ex3WY2jAo8Mh4Rz7rXpkUHc6BhAo4iz\nsDDAjcn5VnmuVvH91UdC/Mrmal38/cLLo/ycD2S2THehUi7dw3XCxweHBt3I2+CnwZ46UXG+x3cp\nGKqeLKoMu3rQKrk+sQD9au4tsaVfEnB7jK2mX2bBPnuV3aYC9vH7Pb0zIgjDdqoqujM9I6e4qBH8\nEOHMJ6X+c8FpG11996jYJy9wQ/AcqEqCAY7MoVg7A00I1EQNjxsr8jOpeuhddZNX9Rr6ewDGG0UV\n3ZRhJC7JsZ+XY8+xU757PPxD8DNO3QlJdxYB74WueR5ZVJX+8WFR0X61nUx8YlZqhxGfcN2li2Gl\n9eSq7ZB5AtVVLim1J/ubsk2O2v/2Kikv0f6guqWj134Viwiz2JpM4jwJRS+6vQbtpGuoeVBBzcBb\nvzASHesZjg495+16cfGElwTc6rjPxMa4KmoPMwc7vZjBgTAssHAY6k7W+/4kAIj8/YeIvQJ8UuXx\nzo6mCr7FdYEBNVd/iqopaYN3su4Pwsdr0x3ojlbDpHrUzKzrXqF14vK73TQ0RWy7/76A7+U4s2vs\nFODeYaigbcFpLS2Xixs9zuB6vwluJMCKNcW4vkpTWRXqw+jvrgI7mLawbJWU9K9qf343ttDHpYaY\n7wcG+PfMmsgw5ACyFutTcDE6WT8lS0OAh1tHZafcHnNkQHYqMSadAvDjeOddLCzM8hoyHg4nXYJP\nGJwLPhtkdcL3xLKS/gQb89lnZuhWjhBl2UTHxKJsdPZ8EWKJNxiatako8asvFFFg3SbQ/KrwiKyU\nBkrzZOgOayvf292TS/ei76dmhKHzrPx/efjWU3/nho3MO4L2SGlp3fyfAiZ3+FMAnn3g4R4hsluS\nnYWOQZ5fQM7PLG4InDt3sSxyMSmHdcc9XJdkvLPj15QT7pK7WenWc++UVlLxLczLMc0/a/jbwMLt\nhwF+3NvRBw2TLlanXAu3z/FREKVnoGcIDlHRV1FL0z9Sf+M2YSqMAvB8uurmLQyMAuLcttJawoHh\nGscT6wfDErKg3u3s2Fcyn40UGLoc+e2YIOu61es2b+fT8j8W/pBmGwzZ8O0b8UDJHik2Nrnf5u/b\nC7NwqXJomm5QN1GBOtLkgD8PkObtfnBw3xcNZLirCeiYavLTs5EiatMAABZGSURBVArsOmAvpGhU\nNf+/A0zp8IcBnn3+eAKc/lluN8t2tnV0azYwiCpyy+hahz5tPaWmHSO/oDy/kHWl93lPdeApc1FR\nTrrVqzZw8/JzK6uWF+xVMi1GJCMIK1/hbXAv/qtLFjbxOVEqUuwaTKvWrmX0vqKmKa8pou14rCzt\nB3yjSg54+JoC+xq6zWsYGDcyC+jKWPsF10chb/YiEP2Q1yIZv4xracDzB+R3ciHlWdevXb161Vou\nZY1sx1Nx0ITnImDnxy/wj/vc9bKyh3+g9yvKCm+XP9vqrbhuzdqdikIsLOwKspBvkgwwrjOJIC4e\nviCvu9sizNx5J5ckl9n29XQMjKaOO6Uk/N9RAW7Zrq6uDlu9nFpHEIrPrSN+s0KAKR3+MMDtuUXI\nN0hrAcb1guxbmDfRs/AKs23dZ+aADgMQrsAeYtMKAX6akmMYYSWuI8ksybqKgX4zJ7+4sJsvUptP\nUyu4FCgnhDPAso9GF0PCQfOoopyoaEEWdnoOhtVrV0scnIwMCpAJ9JewtHGKioOqaTLAo6hgduHN\nqzbiar5N6xiEZdzisMbB3qe+zEEvVVcFUAb115cGPLVvC/cm7l1MdBtY6Jjp6Vm2GfglXyQfBysV\nZ+H7/K02dgph562l1HZr67rkGkrw0a9dx6xtu19xB18QepgCcBN20RVe63XY/Ej+ISsWftWtbkxr\nVm3YtFOXWVxl1wNqwIfIzy51AeyKA6Z0+MMAQ/mDryZxbGNaR88sybJ2Ix89m4yEqX3Umb0laEdA\niegVwwGeKw6wldSQEJJW3bx1+2aGDWy8u5Vkbc/mignulfFDoJGUWVdccoCCZ11NXTHHTPeGsG7e\nsX0bPdPqjcaJQ/cPGYnoucvvUTcqKIUmEMgAPyuMYt++YS3zhk1r125Zx6539MVdfRcPP/ygbbQs\nqgCf+2MZZ4MnGyczw8YNm7m2rGdfv3a7gML+c/jFrYuAiUKwF/11zQP0LbVlpHn59hi47WVfv5qJ\ng3m/9UGZ0Oqivr6mOnh62bYqII3o+bjv76F9rDTbXJiZjY2ZdRU9w1ppi82s/MJ3lgCMV4V/sc/I\nuD21LvVSk7F+ee5+K0tCo7lSDv/jzmELd2IWWhAjuAi4qbIWfc1NaxPdWrotoiKsrPoi4sJyZ9yd\nggMMT19CWMMmOnr9deW49XkkVPyMNaSEZZlFnc2KnDSO7mdlZxe9ccLjRNfLp9Nkb3B8fUJ7HpBb\nKKntZMu/aZOglvjarVvFfb/02EUclFVSDjLSrU+DhpdkgN8novnZNwmIMzOx0dFt4N8p2ZglLrMP\nrwULNl9AmFyDKsolAE/hmsnLvAzrmDav3SAgsHUd/fYd7MbnHAKguKdFwKp1pfgVXrcsVZVP7XIU\n4trtrL1bjl+JadN6tp2qLojjRefrkx7GZZ8lJSHDlR1rQSyMwefGu88aWVpaH0MiJbkMJLawrd3A\nJCDEsolV/CnNKloLxKvCH746L4cHHH5xtDQ3BPQgNH4rBBiW9bALWtO2+RJp01h7U+MlNRklejpG\nvi30jIKqZ8Os8mrc9p+uSRgjn8nqPOett1dul422aSxCm3sbj0Nazs+XaurFFfeIHGuvqqsqyyls\nmIUBdr/U8qKzKu9crPNBbQlR9s3b+CM190mLHej+cOCwo099QFzmseu9ZJDwZS9qKzsZKXHxc8tz\nb+aWElPw93RzdMx5Ao69n4VUnvFLtCkAT91pgv7rwWAeg8OB8nulN3FK7t7BLijAw8FtivSyeALC\nAdu23Ma3pvPtF/JyDSR2W8UFGMpaqG6kZxe20XIKKH831gnUXLQ4Yq9BPAi8F/0ZlVRQ5B0aH3E9\nHm2tYKvCK8W8TUhAR3grm9SVZkvabzCkCq/3CTyIB/zazwiAVKYJLdoKAabMekjWi36aDZzdq8i8\nZu369Zu3MhkExoYXhMahbVKg+UE44DcRDmYCdi4ih+0VVHiYOaS8r8Rn5FZhtZW5uJJunT4fF4lf\njUs+VfnmjKN7soWkqDwjAwOPso+7hLC4lUdkiIV6Qq1vds5CA08G+J1JoLq+uwK3Ar84xw5mbhmP\nk0ZSUioFKbcxGQ23MgoQ+AkHCsC3SrHJ74Z6YwEAPXO7EiPAuYXZXoJ341ZeNh41d9sAB+iFpels\n6Ek30XA63KK3d7eRHN3aDcyxetJGRzMRbzDYJK0Ae03ibnDAHVVAcli4dUJru3WgkYbYTl4xOVFV\nNVGmdcyiyVhZ4pQ1OWBINNyX+AYnvpxSwrXBKwuYMushGeB7FUBNIc9GNi5WBlztlob6Mtl/shaL\n6oAGJGRz0Z/udJ3Jd5CVCTZRVtzGZxATBQCJ4XGl/HLWwnmo3z811tSjJyjnou9iKoAfDx502M7D\npmase/KEkLu6id1+F50CANP3cmFkRd4G20SEeHSaBh/WUmFlYJe3dixUdtTYX15UhQVyXw70E8Yq\nFICbAKDwelKuUSUe8EVRa2tWE045LjYnBbejbpj8MsiZQRNwR6nngbOIh+dig10F6Og3MfhG54Qn\nAiWNOUCpYe5ZmhnAcYDPd/Q9eDl3tzCv8A9HSx42CRMdG3U6Bj62BECRGIZIBMyuqqrahgf8TMNM\nswsCfHWXUfKKA6bMekgGGErKfEWXhYFeWoCRXiTidP+rh0EWaAQ+cIcyouP5EdfjMjpeMtyM60zv\nNNUC6FPIq8ZhHoKImkZwpK3lLZWzYQxZlPYoTVpEfN/OnbKpSaf1vRwPeToGHD2VW9xMnIImAzwW\nZmsJjB+3N7LUYqBfK2ftUn+qOtMmE/VbDZBOGnBQAO5NLUL+igVQYbgqegSdaGktx3taiYuV235f\nQOS1ysBgaNBDE/DLxFiTM+0JRpbGLqabNjGLRJ8t9fNOS3+IKMr8uRmAd7JINoxOap760No2/BZT\nHP/CyEeHh1tA2lxiE7OYcnSRNDFcgnocfLEH1KURA/1XzWRdgQs2fHr44f1+WRYRJandO7j3uWRn\n+WPPnyCEuJEBhmrH7mzghI6znDy/knbnx0ZUVSVQkGS5W/NoNLG7TekPHnvyZhR1bv9OBw0pTxO7\nI5o+oflG+sjsa7/kYlMXonzI2+CxXtwwtcXYGWEgup6JUejQwQeohKt9o8ONqEWtFTLAs3Pzb56M\n3SkB0vqhM5z7cllNUt7Dgpdzh9Yhy6qnadW5UMVJDph4+e/73n6K89NV4LWxNBbi8UNXmATpih/+\nMPHk9RzFRMc8scjcl/kZZE01Yv5j3wfwqJXyTgMPVT92pi27Cl8+sV96oqNb1fwM5XfgXwZYyBPT\nTgpdmGzCNI5fc1IXsYw6oB/gZF5TZ1IDYAh1IQzwdDOmYRScvdv0Y2F1hJisoEIpCI7nuqJzHzWf\ny0QHEGcBaMRkjSbVI0SMVeWV9x3Pzn58vwl72O/HmdY6oHRhFoVGRMebjDqs217O7VvEbWU8rlHJ\nz8IBd6MRUFd86nYTMXtTe+h+DRVPK1Vhu5qaWw9KgTrKNnjuJgZBCrN+e0pPiEfbS03V+07f0AgG\nE+ZRRGhJyQB/QGDaSHdsNBkA4qegaPCrJRHcJqHGhpzaBifAv9FctOBpIAsKXMCPxfBi7NP+u3QU\nTkWdcjnjV1cXgsEsjAlggB8XAhV4z/ynOLSdHbvG3hxwvivH1al0ehJVlE2KpKYBeL4zyirllKi6\nqIpFHHoYnIrDDURnnyeXxC04h2gAnkIWRZ/O4FQQ5pZU8T9LpYkIA3xvIR8azBospXcGxKp52Wnn\nJb7+gClJgtjCAb/MAS4S587BQTNLfh4dH5/Smpu4U2065xmXRdiVDHBLLbCYWWG+qTAfKt+fjo1B\nhivq22TIyplCcxd/G8BCUUAu7nQfIqBUYrhnvLJzNNnezyH5ZU9j30Bz87sJ4vsIA9xbDFQT6uFP\nF/PzTDxjfr+NCsirK8R1FsYf95OebirAk43oxvuZQEGAt3lobt1nvKcNiJsGBx8TnX/UgPsR0b8A\nF+utjsTYufmGnqVahwEDfDcFAJBkM+3jeTZubikXnNEpMXdwrfaHx/gJCjjg/nygjiQW9D4pQFnC\nvy4fygQLhW9earhP+DkywM31QN6idNzUk6ePEYin3eVAanR9StU5bKJHNdRn+TsAvo8fB7untsyC\n4wkAFndvxlFpqOGZC0GmQe1UaxBhgCeqj4Uu+H/6U0oOI9D3M4BSPyoZcyrA9zEJmLstqagfYk0y\nkvE34F5SIln6CyrAc0gsgHmUWnrs7LnzvqbmV+ErIvAGr6JvJceTR4LeTXO3kI9C3SOXfIcDnm5O\nhSTP+tp7cRc83+aqdMCipykVTSF5SQb4DTq1Gd5vgXxt6IGEUkxtGvpTT/DRX/G37u8AeAY/k/XT\nMO6ERqBQmzlI6H0W13lKP05DHRYGeCD5QhaxlXvT8354eiAHwN6gkjGnAnzF86Tnz/PDU/PDAz0L\nQnLj5A8F9dok3N1LHHvT8+FdTE3xrx+p1dPIOlmjFBKpt6tOOURHTVIouJN1suaHoTm39LpM/JGv\nZmemvsR/RWbknazpYbKnfxID4PopH3reQir5LedLUPiH8O8AGG8Lw6SOpHiit6gZC5Tghi2jdzrJ\nZFhhgHtwvRXSorTp+7eGZnEPPbXgJRXgJoeDDo34vybv3fpItT9IDvhZxxPcjbyfkIQfUQ7kwhOI\nLdqyge+fYi1cqk5ff0b+LfUw6W4lUIN/x1+jUxupZODe3LriTlUWZncTE0n9jtjUxHh8zNbfDTA4\nSlos1JtRFvdp8lV0RcWN+blBXEs5NQCRhgF+F1+eRrqbt4pq4kbnR6DH9tPg7BuSxOjs4H1KwK8T\n8hG3Z6BNv1yoQi3UtmMDsFURMMD9C4vYxsfAD2/moeCoPMKSpw/PXsNKLAv43cDVwnO+VWkQlY9v\niK8/NeCBxHJ8kzE3+PbjAHHh0/wQYbD6GVODNgcpy8JtDHd/Jge+TA28epPvHWCAry7+rg5/aHv/\ng3ejqHTTEiBhrDEnqXccmYMZJB8Hv32w+L6iAGIY2sPkrJyM1IWVz9OonEhL4j7EsgO/ReUgJ3Gb\njPOATEJw4iAmB9Z2wwDj3qoqQsvZnZrVMg8OQ6F+OLsbaxUGk0ldDvDt9Mwm7AF3DJTF50FqdvMC\nYRoTHYP45TazTdmJoTmJzwjftWWm45+o/gIgx5i441LLR/9fe+ceFFUVx/G/a2qaUstHgjk5s//0\nh83Y2B89nNEyRjCEAV1RtBE0EaWwQh0yjZa74IIi7ArLQ9YHZLpwhxEnyzR3BQTf1EZKBvHIVVBR\noAT2Tvec+75777K3dWfrzPn88bt7z57Xvd/d+zzn97tPlGRlbl+cs85SlB/af7CPF/4iXAdr0+fH\n2W9Z6OPi9UrS3qjo8d2VfbaPulxaZWT2N0FWxds4h75dVtL6LpeRL3tu34rYFvqr3G2H2bFrTRK3\nxSKBu3dXF3QOOIhLTDxHLseYMXdLUolQQkXgDoOh6xF9cszLKktONHbD32ER+/hI1eO720yWxxw0\nrIM3v4PctLIHOVUG/qeqJvBPB8ndOxMzTOmWw5lZ2a4QCuzjhb+Idqs9dmth1p188qizo5g8fFFJ\n4Lv5pN1BjbZfYyf9OI4diariXHK795LmhVx1fFlHwra1W+mvqr9uZa97Lh0ii4WdJj4H91ztppqO\nkOZug53M5f+yHoMpPbFIKKEs8IixtpZ4ZKitzc6qKf8IvJ4HLsjZJlUFvpdHlqcZP8mBI/0fEbXs\nwPf+a6d5XwVqAt8oJU07VqTtIa62nrST+fdCJ7CPF/4iRluyNh6lrw1dRmf/2EVjw5CSwPQPnhQ5\n+6X6HMR3BO9Uv9V4jA/OzZftSUvcQ4y1Gp38DN+hBuNF4dpYfhVNX/CV3XQ7CNHdz5/fr88QlVAW\neNgErmy7HURnr4O4CVJuOwjugbd6zIY2wuF8z1hlgbfLHYTDz6krNKPNxobGzOIv25l4te6QzvDP\nYDv5UGFctEBLQYEkXpi3wKPOQpOvkB5KT7Ka9uZfU8kOkAvclWM2eN36SlA5RMt7L8Z3UI7rpiKH\nfCajJnfCv5oKnaP/iavoNjCzYSZ4OjvW0+nt6vSuJHyf0jl4rI856I380a3k3ltpfrAHumFVKSAW\nWN8B75QH7/jybE9JBG7pELkNkPVejFRgT69s2x/0efXNh8AKmwIrCJnA8ril0EfHBbPVobzHBdTD\n6njOlexT8m2sOgHc4yyxKDtDFgSeU1rws2IWGYLAyz4vMyjHgpEhFfhykfWsaqg9FnWBPeeK9zXJ\nswNCJrA8bikX4n3veGE+1QUGb1RyvY8A6gIP7BF7bREjC/HuB4LAXiHe1fAK8V40nocqHy4cVLY9\ndALL45ausX+73xaXmhZrtdGUVgBbVg5sudj+0BLFC7xQ5sCrcUNuTkqzt2OvOl7gldmgkopSYPdb\nbRXxm1KjwefKEsHa6ugii3iBX9llqPDHexgp/IM37/r41GnYXVuxTbRg67fuh4sDLRG8wIvoCkqJ\nXRsd4zRSIwhcxzRgK6mEi4roTRvj6I/lZeIW6Y1ZyAsc5c9m0NiD8yTrmyRdmG5WeNjE6TqaF14E\ndvI0YKdMBXbqFGCnzU5K4R5cDq2Vu/BKiIxaqeTa6xjXyIfPg0qmTwI2bKJO93L45OfA5xnQvvQs\nsDOn0yVSuNuhweWRi1cr1elFDdfIgfcj45NehZ3WPT0LLp6EdsYEuJgUBhdPJW3gTtUPkunyiYsj\n9eM2Uss1UrXsGViLbkI4s3wiPBy0NW2yTtQivTEbuLPFQLJfm0FDBkVgitp5ElgCjrPPg8OwC6uB\ntVYCWwmDu1QVaanRCzIX2BNfAXtqO7DOLcA2pwN7JRXYX5KVy2rDcgguYpjHZMxgyMZP4YLZTuot\nhVIa6ExgllvYee5sddwOYlclo6KCABYYCyyABdYCFlgJLPBjRpPAXfBpRQ90X9MLHw/cgrdMt+Gb\nvz64q/oVo3r6zX046X8ADp18CF89DcEbmmE4ievvm8COtCsW1Yibec3cxrzxYEYlDDNXzcx2Um0K\npTQwxj7w7GSv1NjquB3Erj6ejVFHk8CY/x9YYMTBAiMOFhhxsMCIgwVGHP8FHrsSTXXG6sWjtDz6\nemlKoV4fdkGaRxuyBqjz0Wss0jT36pRsea5/gVfXH0PnpTTM0QsTx8DOEye4liRnSjIEDf8FdufN\npzLOeOaKkkzx9bIUqjlHnqIJeWFLz8gCadoXSxPqAmqCQaHrAXdeinnZ8hP8Cth54oSy69S8QnGG\noKHlEB1BJfRS84SxtMct5nppCjW8alSWog2vwjcWENK0FTUjr+kDaQKi0PXAOy/F5f5rtmh4QIQ0\nYWDHblmGIKFN4IwfPa8L6+tS345KlqRQhw7I8mhEXrh6kJr7mSQt/Qz1xuZAmoAodD3wzks50k+9\nKRqqECFJcK2/Ic8QJLQJ/PvSDySnKHO9LCVqwCuPJuSFjy9J2SlN++2dGHNATbB4dT3wzks5HxNX\nIlqNkCSsjdTrG6QZggS+ikYcLDDiYIERBwuMOFhgxMECIw4WGHGwwIiDBUYcLDDiYIERBwuMOFhg\nxMECIw4WGHGwwIiDBUYcLDDiYIERBwuMOFhgxMECIw4WGHGwwIiDBUYcLDDi/AOhMmae/RTfegAA\nAABJRU5ErkJggg==\n"
}
],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%R\n",
"acp2 <- dudi.pca(deug$tab, center = deug$cent, scale = FALSE, scann = F)\n",
"scatter(acp2, posieig = \"none\", clab.col = 1, clab.row = 0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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}
],
"prompt_number": 23
}
],
"metadata": {}
}
]
}
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