{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quadratic Programming\n", "\n", "Suppose we want to minimize the Euclidean distance of the solution to the origin while subject to linear constraints. This will require a quadratic objective function. Consider this example problem:\n", "\n", "> **min** $\\frac{1}{2}\\left(x^2 + y^2 \\right)$\n", "\n", "> *subject to*\n", "\n", "> $x + y = 2$\n", "\n", "> $x \\ge 0$\n", "\n", "> $y \\ge 0$\n", "\n", "This problem can be visualized graphically:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/pdf": 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w+IDeuDN+MvweMB/kZcif3BTrpc2gGEjBRRKoQvQrg0i/cI32VwTjHIYiGE4u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\n", 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S7Yo+RqMRVqu1T2EBoTrs5KzHTBNCCHJycjB58mTRSviE0oIwGo3w8fGhbteF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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import plot_helper\n", "\n", "plot_helper.plot_qp1()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The objective can be rewritten as $\\frac{1}{2} v^T \\cdot \\mathbf Q \\cdot v$, where\n", "$v = \\left(\\begin{matrix} x \\\\ y\\end{matrix} \\right)$ and\n", "$\\mathbf Q = \\left(\\begin{matrix} 1 & 0\\\\ 0 & 1 \\end{matrix}\\right)$\n", "\n", "The matrix $\\mathbf Q$ can be passed into a cobra model as the quadratic objective." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import scipy\n", "\n", "from cobra import Reaction, Metabolite, Model, solvers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The quadratic objective $\\mathbf Q$ should be formatted as a scipy sparse matrix." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "<2x2 sparse matrix of type ''\n", "\twith 2 stored elements in Dictionary Of Keys format>" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q = scipy.sparse.eye(2).todok()\n", "Q" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, the quadratic objective is simply the identity matrix" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "matrix([[ 1., 0.],\n", " [ 0., 1.]])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Q.todense()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to use a solver that supports quadratic programming, such as gurobi or cplex. If a solver which supports quadratic programming is installed, this function will return its name." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cplex\n" ] } ], "source": [ "print(solvers.get_solver_name(qp=True))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'x': 1.0, 'y': 1.0}" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c = Metabolite(\"c\")\n", "c._bound = 2\n", "x = Reaction(\"x\")\n", "y = Reaction(\"y\")\n", "x.add_metabolites({c: 1})\n", "y.add_metabolites({c: 1})\n", "m = Model()\n", "m.add_reactions([x, y])\n", "sol = m.optimize(quadratic_component=Q, objective_sense=\"minimize\")\n", "sol.x_dict" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose we change the problem to have a mixed linear and quadratic objective.\n", "\n", "> **min** $\\frac{1}{2}\\left(x^2 + y^2 \\right) - y$\n", "\n", "> *subject to*\n", "\n", "> $x + y = 2$\n", "\n", "> $x \\ge 0$\n", "\n", "> $y \\ge 0$\n", "\n", "Graphically, this would be" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/pdf": 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P8O1D+7Pihy/y43t3OOfpmvMO51P214/Xq/LTqeRB7OJb9f5qud/q9RqpoWeL\nf/VdfM+cWGi43Ue+0Y/5QbWcvveQ9jtjHO4vuthfbb3+Xwvyh9Z/6PKHL8gfLn+w/mOXP/2fC/KH\n1l9y+UfdFS6Mr0iHhFnVy/4NT9UvzMMAb88eRP57nPTtIN/+fxJvL/H4P4h4s+7+9j+q+FF/JdJf\nr1WjL+kz8u+f73Csbjh/cO13P3qHv+HAv2Lmr5j5K2b+ipm/YuaHmPn7l/8HzJ99gQplbmRzdHJl\nYW0KZW5kb2JqCjExIDAgb2JqCjcwNTIKZW5kb2JqCjE2IDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRl\nRGVjb2RlIC9MZW5ndGggMjAgMCBSIC9MZW5ndGgxIDE5IDAgUiA+PgpzdHJlYW0KeJzUvQl4VEX2\nOFp16+69d9LZl85OIJCQsAWQdBISCIQQQ1gVTMgCQbKYhS0ybJKALAEh7EJUQEBERAaDouOCIAIz\n4wA6DDiOgsv8RGTmx8woJJd3qm53FsSZ+d77v+99j05331vbWeucU6fqNggjhGzwwSPr2HHxiUcf\nu12E0HdVUDohNz07/+Onp22G+w/hfkBReWHV7ve/bUHo1dkIkUlFc2qd9y4EJyMU0oYQbiutmlH+\nzdG/nUQougDar5pRWFOFJHhhPBLujTNmzy811qb+DupvIPT0r2YWl8/rdyvMjBDcIsfImSWFxZ89\n9fzvoX0+hTcTCqwZciXAz4b7yJnltfOUU2uPIHQUYPAJj5dUV1zNu7QVobcAp95Pz64sKvzfs394\nCKE3n0KICygvnFcljBAHQ/846O+sKCwvuXziw18DrkEIBX9eVVlTe3RK/JsItd6G9murqkuqhkh/\no01/REiYCRc+2Iwoh+g/GMd9jZEX3OnXHBLQY+5r0qWc73ItICMqdl+LyBeNcV9LKAG97L6WkVme\n7b42ID9lmfvapHihKhgZ8wrc1Srb3dcYRasW9zWHVHWy+5p0Kee7XAvITy1yX4uoj9rffS2hAvUf\n7msZBQXUuK8NKCHoOfe1yR6t1qdXVs2vLpsxs9bZoyjWmZiQkOScPt+ZVlZbU1tdUlge58yqKOrj\nTJ0925lHW9U480pqSqrnlBT36WjjnFBSXegcV1hR01FES2hB77zK8sKKvJLZJYU1Jc6+ffom/Ffw\nTOqDAJrU+0CW1TgLnbXVhcUl5YXVjzsrS38+jknNLakuL6upKausoO1nllSXALwZ1YUVtSXFcc7S\n6pIS2rFoZmH1jJI4Z22ls7BivrOqpLoGOlROry0sqyirmAFwigBx2rJ2ZomztLICECssKqosr4Lm\ntEHtTBh9dllRSQUQ2iM8k7YIj4XBip2FNTWVRWWFAM9ZXFlUV15SUVtYS/EpLZtdUuPsQUdkHZzj\nKktr5xZWl4THMkxAcasri+uKStgwxWVAWtn0utoShkO3DnHOsoqi2XXFFJO5ZbUzK+tqAZnyMjcg\n2r5a5yYMW1cD7Sk5cc7yEkZ1Vd302WU1M+O6wIijMOMrq501JSAKaF0GqLrJvw80RQ6GraKMrnWz\njgGaO7Oy/OcdqBhK66orAGAJ61hc6aypjHPW1E2fVVJUS0t0Hs+eXTmXElRUWVFcRumoGUwFmg+V\nhdMr55QwGnRdYih0KEJFZS0IokYvpXKp6tQBvc5ZM7MQyJpe4uYbIFJW4SzsRmllBWhGtbO8srrk\ngYQ7a+dXlZQWAqA+HrS615cXzqcQyiuLy0rLqLIVzq4F9YMLGLawuJhRr7MPgFcVVgNmdbMLqxmo\n4pKashkVDBEwsFUza2gnqqWFRTBIDe3hwajmfki61hXrTCuc/eAB3H08eHSOBuhVzJ7vLOum6kBO\ndQm1tKwtvaihrKSy8UyREtC7Eh35uZXVxTXO8I7ZGE5heyqc4XTyhruZBtLJds+a6SUwn+i4dSAH\nSsKcyrIO1Erm1cK8cRZWVcEkK5w+u4RW6NTD2PcJZmZhrXNmYQ2MWFLRnSsArlPHi511FcVulMO7\n25ZwncZ/L9maytl0djPRUUEVOmdTKwJzxtOwqrDo8cIZQBrMx4rKDhvy36tWN1BguADJktmlOloj\nM5yZY3PynePGZuZPTM3LcGaNc+bmjZ2QNTxjuDM8dRzch8c5J2bljxw7Pt8JLfJSc/InO8dmOlNz\nJjtHZ+UMj3NmTMrNyxg3zjk2z5k1Jjc7KwPKsnLSs8cPz8oZ4UyDfjlj853ZWWOy8mHQ/LGsq3uo\nrIxxdLAxGXnpI+E2NS0rOyt/cpwzMys/h46ZCYOmOnNT8/Kz0sdnp+Y5c8fn5Y4dlwFjDIdhc7Jy\nMvMASsaYDCACBkofmzs5L2vEyPw46JQPhXHO/LzU4RljUvNGx1EMxwLJeU7WpA9gCWM4MybQzuNG\npmZnO9Oy8sfl52WkjqFtKXdG5IwdQ3k0Pmd4an7W2BxnWgaQkpqWnaHjBqSkZ6dmjYlzDk8dkzoi\nY1wnENrMTU4nO2iHERk5GXmp2XHOcbkZ6Vn0AviYlZeRns9aAu+BE9kM3fSxOeMyHh4PBdDOAwIE\nMjKDgQACUuEvnWHGyM8Bcuk4+WPz8jtQmZg1LiPOmZqXNY6ikJk3FtCl8oQelMbxwE8qvBw3vlRG\ntOzn2gGtaG83gcMzUrNhwHEUjZ+1ZfqVMa+opKqW6rd7kutGkhlU3YrGMc3VjQGo8YgKmL56GbsE\nnYb5xTyQbuU6pxh1znFuI0zNCGg4eCXdCBfPKQFLWENNCsyRSmpU5pbVsPkO7rC80u3/agpnAzDo\n1dEKbGbhbOhW04Fm90nlcYxV1WXQZW51WS2YFGdhHZRWly1wu+Rqt8u6nwIK5X78q0tqqsBjlc0p\nmT2/D7Stpn6NYVJWUVpZXe4mnbGvqHawx5bWOmewwYuB8MrqGX1m1tZWDY6Pnzt3bp/pHgh9wBSi\ndFQJQeJ8VI3K0Aw0E9UiJ+qBilAsfCdCkJmAkuBqOrRwojRoU4tq4F2NSlAhKkdxUJqFKqB9H7hK\nRbPh5UR5HWPVsLsS+C6BPnPgsxha/nwcJ5rAWhTC1Tj4rIDan7fytPG06A1jV0I5vaNQZrN2FJYT\n9QU4fQH7/3P0mZD6X1NI2/57KstYT3pVy0qKoYZSUo0eh7JKVPpf4UPfuWzMcjZiDXxWQr1n/Jms\nrsRN3wwGqQLGo1jSsUpZbUkHxCLoQXGYAWVxDLdKhmUF61/FRqtxQ6iEUWuhrgzu6HuGm54iN8c9\nY9YyLCisSgZbp7uItSuHlvronhFoax332fBdBD0r3BLtgcJRZscY4UyCtG8x+65heBVBn0I3fU54\n05I6gFLCetEaD39K4Wo2kxsd2YNjJwSqhxT/WjSXcaSEQezkCS2pgs9KgFLH8OzEpphRUMt0bjrU\n1rJaD4xfhhDH5EalOxt6FXfwZC7Tg5nQuo71o5wpZ2VdKfKMX91NN3Vs6xgP47pIh16XM3l6ZF0F\nraazsWugd9wv0BHXQWc8jFQNdzVs5s3uGLvMzdXu0v/3VHs4p2Nb1aHRtfdpXSdFcxk/yv8rCJ7Z\nUAo0VDNtrWF9OiEWs08KI459U07MghZFbDy9TVc9pvRWMrnoEipisIsZxmVuTAd3zNB8d89CGLWS\n2YhOOXS1S51c+LlFqID2te4ZUdOtrWe+dHKtqx3o2s/J6C50S2u6mzOd+qZzpIz1K/w3MqUj6zaj\nmmlRpZvL/63EaZv5DN9SZgno2H1+xq1/15/yZX4HDeVsFpaxOe2xbBT/Wrf100t0bClfi7vIvqv2\n6ZRXMSg6z+pglELWz0NVMcOWyqyiC0dmQDtK0Ux3WXUXW1rItEjXYQ+M+3lU8x9p6mrrirtpWiGT\n03+PQXc49/PjQbjFuWU+m/Ur+zdWvdptgUoYXuXdxvWU1HRopWfe3O9FStz2rqQb5+cyqopZ//AH\n+MbwDrrv70Hbezxv+H2aps+d7Pt8zXQ29yu74Fvnng8eKcyB2rIHcK0EzWO8rnDP6Cp46Z6skFnX\nko4eXWWv4/3vZ8xMZu2d7LvGjWMJ06Zf1hWdugfZcVpbx1p15/KDOOvswr2ucvx/MmdrmBX1+O7O\nWeeZUTSSmN0Ri1S7e3QfsYpp9uPwOcMtNd0/VjD+3h+H/L9htX6ZqunuuVLr9o+l3bg1EmUwWGNR\nDtxRWGPhLh9NhAgzj9VlQZkTYrs8qJkAd8OhdDiTTyqrofXhbGZOhGs64lg0no2lj5EHn3TsyVBC\nx3aye3o3GtrnwFi0bwaaxGBkwGjjWMs8NvYYKM2G7wx3O9ojHUrGwz29HoFodKrDy4Fe+WwO0X4U\nFx3TfCjvhNodqywG0YPZGLjLg/FHumtTYewsNh7FP45xil7ndOCZ6cY0lfGIjkzHTAeMstkdLR0P\n37nQbhzjZyqjWcc2h9GQCfU6LRkMA10SOkbp8J0LsGmLEYBXPsOCQsp3t4xjFFJ6hrP+FOpoVqpj\nNtYtZXrdOUofNy91PCj/J3RAHsfoz4aXk9GfDyX5TDapML5nXI/ujGAjjOnQo/GMvlTGh7EMQhqr\no1yk/MzuaJnXRSrpjF9UbhTz4QxSKuPIuAdS4hmtu3QepB0eCCMYfRmMU9ms9TjgYwa0z+oo0fUx\ni9Ga7uatPqau97pOZHfhbjqjkUr2YYCa4dapVMa77lToM4Ti30mFLoFU92d6F551Sj/HLd30DlmP\nZVr2c65MZHMxg7VKZbIe18GFTDZ/x7gxH99FwzxyHO/Wz7EdmHXnr2ceedr9N7ZDH8sDu7sEhzN9\nynZjOK6DG/953E77lQE+roitf2o77Hd3T941kuyMULvGonFdbG7XyEC3xiNY2/L72nWW6nZa91+d\na6CusdyDvJhn5azH+J2RsCca0W24vlbqGgkXs5hdjwlrOqIU3Y9UdkQqc1ltp3/XV4flrEXX9V8N\ng6tTVufucf9YepxZyCIHCq3mAdz8d57q/hVjFfP9OpS57LrWHaVQ+urcbWn5gvtWydX3rbL+kww8\ntPwn/lczeVe511hljMM0vuzjHrcaedZrnTyhHChldeX3Sb1T++hog9H9cSnlwYwumBe7JV7J4os+\nbP1VC9gMhlVtPHCIvvqAPtxPQx93VIj7o1Z0Fl7vogNoB94Ld6UIoSegpIU7gpYD4q3ofXwWr+R6\nQ9ledAtdgJaN6Cw5wCM8CiVBKUKXBQ7dxvnoKIyRjL1xsiTyiM/hj/J5fCv/DX8eDeRr+PN8AV+D\nk8jzwgRhL7yTyQecHZ1BoagVfw7ovUH+SpLICX44b0afk/PkAPoKoPAw/lnUhHajesDFG1eiRVw9\nlwclp4XzaBu8KqH+PN6JLwB2b+Bl6BLaQnhuJNqJLwFdZ9E/0TKSzy1CiCRxpYD/aRjrPPTfhmp4\nJFzCKtK4XlAG2AOs6ewzmPQWLrHXLbQIIOej3WKr6C1FABTKsb34fXxD3IBa0AXyKHmCXMHL+Qh+\nHz8SNekcIAWoCcbeRvuIpXg+0E5f9XR0bi5fgA+gv/IF0nQY+wNKEcA8yuUBRaXoBLznilagaQhe\nTlYCprQ2GJ2XRvHx0B9GkBYC1QhVkv6wvK+E+kPoCOpNNqEmGInRKw4U/gk9d/BfAM1NeA33T3Se\nDEexqJS/CbxG3qiVW+y6d1cjd7zJT1Hkx0Tyr03kn2byD43c1sj/RpG/m8nfNpFbUeSHp1OFHzRy\ncxP5fhO5cYd8d4f8j0b+Oph8m0a+0cjXieSr6+OErzaR69Dw+jhy7ct44dod8mU8+UIjf9HI54nk\nz97ks03kqkau2MmfFpLLb5I/auQTaP7JQnLp4gjh0kJycQS58IdA4YJG/hBIPtbI7zXyO438ViPn\nN5FzZ0OEcxo5G0I+SiRnNHJquU04FUQ+8CEnNfK+Rt7TyLsaeUcjv9HI2xp5SyMnNPKmRt6wkeMN\nUcJxjbS+/qbQqpHXj00VXn+TvL6YP/brKOHYVNc9cszF/zqKHNXIa5vIEY28qpHDGnlFI4eKyctm\ncvClKOFgMXnpgF14KYocsJP9gPT+O2SfRl7UyF6N7LGT3Rp54Xmz8EIied5MnismLdCkZRPZpZGd\nzxqFnRp51kh2bPcXdhST7duswnZ/ss1Ktqpki0Y2bzIJmzWyyUSaoVPzJrJxg1nY2INsMJNn7pD1\n694U1mtkXdNUYd2bZN1ivmltlNA0lTS5+LVRZI1GVq/qI6zWyKo+5Gkg8+lUsnKFQVjpTVYYSCMU\nNBaTBuBUQxRZbiNPaWTZUpuwTCNLbWSJRhZrZJFGXPd+tXCh8CuNLFxIniwm9fkOoT6KLNDIfI3M\nM5O5RjJHJXUaqb1Dau6Q6jvkiTukSiOVGqnQyOww8rhGZtnShFnjSJlGZi4kM+CmVCMlGinWSJFG\npmukcDApuEOmGclUjTyikSkamTxJFSbfIZNUMtHHX5iYSCZoZDxAHp9G8h1kHLYK4/xInjd5eJSX\n8LBGcg1krEZyxliFHI2MsZJsjYyGmtEaGZVlFUZ5kaxgk5BlJSNNZIRGMjeRjE1kuEbSud5C+h2S\n9iZJHU1cGknRyLCH7MIwb/LQUIvwkJ0MHWIShrruWcgQExmskWSNDBroLQy6QwYOsAoDvcmA/gZh\ngJX0N5B+ISTJRBL7GoREjfQ1kIR4g5BgIvEG0qe3IvSxkt4KiUskvXpGCb2KSc9Yu9AzisTaSY+Y\nKKFHKomJItFRBiHaQqIMJFIjERoJt5AwoDPMTpzFJPQOCQESQopJsIkEAQeDNBJ4hwSkEX+48deI\nXzHxBU75asQHOvn4E4dGvDXipRE7NLBrxAa02tKIdSGxFBOzRkxGH8GkESO0NvoQg0ZUK1E0IkMz\nWSOSNxGLCQ+VPGiAg0Ap0QgH91xvgq0EaQS34uLla3Cv/z/8Q/9fI/Bv/wUfEwUemIvinNbDXFRW\n8WHXw5OcH04O6x13363TKjkPo9zDpvnO1nv3cifxgcLkw0LQYRIlH+ajIr74pcoveseNzp3kPNye\nMdw9akbBcCgbNwku6R0UQ3nG8N70rFaptokvFXYjgiQU4DLyd5F4F8vCIo5H8Scv3uiLrBdvXLyR\n4GULs0WF2cJKedRWQwLbvtI2SeYf/14txiIOogZ66OsSjKEgl8sioWX8Ek6WBEzAW6vWtqE3EpOT\n+6L4623nEvDow4b8SW9BuO1CGD7Ve+8Msg0cNPkYMjgNMLWnRiU5ImxJNhJBcP+zZ896P+/QNOFS\n+xPadlwCYD4gB7i/MlgSGuOyCPgpHi2ReUFEAsfL1ra2qxTn2wCSgrLnjz7slf8IwJMZPBnJbngu\nS4LiUnKVAqVKaVF+o0hTsS0CiIyw4coDXOQBAHmJ60XflLidCIm+wtsANRQVuPoGGlCjxAcrgr+J\na/T1sjhsoSFBgQG+Pg5vL7vNajYZFVlyyzlA9ROd1rZzvpQDQy8OHdo2lH6eTLyRmJjgshmwgTMY\nDSZvPsAWYPcOlfFUHEbCDDjMK4mEOcLYO8KLvfuHsTfvq32Wj6OGz8SRZS0z8CDtuTw8TNs+s2WG\ndmXGczO1D3BBvvY2Lisly7UjpFErxLu0wm3aka3adLyTvrfinG14Fz2dd0C7wJeL3igM9YAA8ZJr\nfDinGtQYHN2DMxjUYBwSxMXHxgdysbHxaV42a7gaGMv7ikrPMIHzbfARGwRbRMDTPiutqOfTAsSE\nso8aIsUG2EERwq0KwVK0bBLEBKoBt32HtvkOvX39BtWDGycvXr+ReNJ603rTZk+2JdvsvvBOTgAd\nlaz895LV/L3NN7nji/9+cjgIU6F6k8DkmIAS3HKEciMI2Zr/yOjDFiZpqNFbIJfeIoL0wTH9Q7Cv\nrQ/u32/AwP5JDrhxQKEtBDu8RYnYzPDt42sbBvXR3NFiXPaHWaUfV3525k/niqceGjfulUevfXLt\nk+LaBU98sWhJvXYB9+Z69z7qSsX4w8iDm144Yf7uWz408JWefXhtfMTRHfvftxCEt5lmTZpQcEkb\na6uYMmkmPfP4xL1rUixEkAbkiyJQDETLza4BkZao6KhoS0xkTBp6xhjyTJ81fs9Eis8Y10TbV/eI\nXN8vJiwwSiEmh1kxWcJMvcyBJktfQz9r28kbt29Yb/7zJuUeqJb1euLtoddZifWmzkjhe/p2s45O\nu0cor+DDm36Y6YeJcawf42k/1M/D03AR2JGUOAC4EZMISi1GhEcD57qWRyXhCK8udcLHE4uKJo4v\nKhq/8403n2154822zROKpk+cWFRM+ra0TWkJ3XnizV27jr/Brd/41NLm5qXLmhddffPNK1fePHGF\nK2xe+tTGjU8t2bTop/8VTVfefOtPV068cZXOuyX3rgkacExBCfi8a5MJm40NNrvN0KAa7Hab0oAU\nh49DwqLc4OPj4DDBDcEhwahBQSEhwc5QLizEpnqpMC2Jn7fNS5VkTlRsXl4qhzmC9CrOzwE13rQ0\nzW5QiIjUENLDYRZ7xIjNfr2aYzZGrvdbbfZS+xjMCupjd8SYQ0gfe0yY2WaBWWkPtPa1toE+X7xh\nPaXLAvSZqjSd7qeu//NrEIf1FNVyX/rXIRlBV+1uX93L5J/NA1rSUTo5/IglEeOpriOSQQhXYoNQ\nEA7lfA09UU8cbR+M+tmHG6ahyXiKOt4+JWBK6OSEGSH1aDvahrdym+VmwwZHs09z+NbeoYpBMco2\nY4yxhx8XqPgb/I3+tiDvIIdPcGhiDIrBsUqEvadXT+8ejvjEIUo/e7JXSuIoJdt7tCPTf2ziBDxF\nmWwcb5/s9WjoY4mzjGW2gsQ6PN+4wLYBbcCbuWZhh7RD3iVvU7YbthnXJbYkHk5MnoqmYjblQJcG\nKngYHpgkchKOiDHjiHBE5yibqUmJPnSaRjC1w39/ZPzFlsf2Zmn1uG1ImviGceZU7NvWNPP6sr9p\nv21oSEj8c+u4PeMn7hxetmwIiXj4uUnPvJfi4praf5x8tvopTfuVdm3D5InY69PFXxSlLBz6/AeR\nkcfi+1ZOSpoBug9eBVcyr5LmUvFTaAlP3QkPkqXO5EZ3V8Kz6QIrWo8rMbmEXKFAqBLWCS2CyBwJ\nOBHdg9Cz0Ye1v3P1oh2Z0FiXRdyCNptNEiJ2EXmpZuvV64k3bNQ9AjAKx4taOTMDYUbmTitnYeXM\ntplpvV4ucg5vu29ENNe/n30gV9+wdNnylk3NGzeL9q+1Yd98ow356jt86i+f45M3oN9uwKOS4REK\nXpriIWFksPNeMgI8ht7uxMMrycfu8OakiAH2/v243TBk86aW5cuWifYb2tDP/6IN/u4r/ME33+D3\nYNSHuFHkfZijNpTjirOaDIg3KhIPzphsFWzGrSo2r7fLRpUooo1gwiFvC29QvE2i3Xpx6PXEq/D2\nZQ6Acvoi+O2TN6AA7hOwIEhRwEshJipqoAAxQRQs7rbiGYO1w9Xa4cF4hrZ1MM6txrn85++9P/2s\n1ojnn53+/ntFZ/F8rfEsYHYZjO4VgQd7G+GyIQXvkIjAOXjkq4oO2Wi92ga+mPqji/B9MgHbwNXS\nGKB/mI0c4nq3X9jXfgFiYb79wgF6cYDrDWPuvGfH7yMNrLm/y0h2omUiRM7+yE8Etl08p3NvYJID\n3PWtC7uX5GkHtXcwlWUx/pxbxC0DDbMdQzs4HhTIevUcC68SvABwMRfY/hW3bDfVlyvwcQhgQNvX\n0TKODq+rYjwbO+LKhQuaRk/D30vjjjCt7e3yRgEYzFoAQSSN2wUKzCFM4k8ygYICd3cIYLs5+UD7\nj6CjP5VTO9t47xrf5PFMLi+xxY5ajOvtq/2UIEsICXIE+gH823QyXKdeJwGHczarPSkRgh0uJhHZ\nrAjmLXxyq3Y8+yz8PfvsXaxo/7p7V/sXVoRc7bx2Dt7nAXAS7oeTWrQarUFr1GrwGjwfL8BrKNVf\nIMRPAWpUNNrlSCMtPNciLJFQiyKHikEQeGED8OqkzobE2zQoBaKYd2NTw8CmhgFe+tQ4aiEWnps6\nMMwm9I9KorLV8ChQn5KP8Ki23Qf4mpGtI+9cOkAhbwLIo4D6ILTHFeMfEEj8gmygNjZB4NOsz9k2\nmlq81/OohUNW8BxqkK+ViMHggC/eeOcd5nsZPl2YLOj2GTBzgNHwcbtcwDGYTetgFOyxHInj+QnC\nBGkBv0CYE9joL4FR8ecDIJgPqkVzxLqAmsDaoKWowX9pwNLApUH70L5AG9jOKCCm/wA0kIUrYB2l\n/sNwUiJPQxkR4ZXcu23ZwNmkwjEvNjx2Yd6Ci5O+xd4Zj/hrtw8cODAXrx9cvjlr7qa09HN9E799\n79E9VcHad5QLO0AHaoALPVC9qw9yeKkNSmiD06vFYWpRNohBLc4NEevF1Y4XYn2CvBDx9g+KdlqD\niHeoIsYCM4AbYD98mb7duA5xnpV5Pj3Co3bNJ9/DhVjGhVgU6+GCUhxSGFroLA7jwS/QkIwPC4+m\nEZseavTC/fWLbqSSlPUvaL/Xvp12elb+h+Vvnz6+59Cx5p0vbBn3dnXNmclfY+NaEhV6ct1nf4+K\ner9v4qamp5r3zq2qqY+MPup0fnzkyZdA64tB7rtB4ziwiKtdwdhETIgQUxoiBqkFVi9LFGxUUZAo\n80awjxeHgmVibv06NVMd4eoZkPkZJm1Dvieiut9+u3oaUE80Ek1GZWguehpJPrgXisa9yACcg8ca\nx5om4FJchxeQ5dgEAlZgCZBkowshao6IqHFY669dunSmfZoQ1XaNnG9L2qe14IL3EbNI1/hioCIY\n1bki+ADJ1mANDmiRvFusK01cC1piWi3tDvENwioJgsWYGMI013ryJp3MdDaDnLSTDxBTCKMhBIXc\n54NC2EQLofWsnFovG5UKcsBCoqvgqLw+I/7tLXGT4u7gSO2i9sO092dOeefxlz/66OWHn8sXLh3Q\nnrFYtJv/8zftH07n2b4Jx3bsOBYZTS1SE1C1iVmkSDTJFeklIlODEbX4iC1BPnusLcaV4euDVkcZ\nw5Ug/xCvIBIWGhgFJgp08DozUtfbrndqn8v7LDqLz3PnyXn+rHBWBH4cCeGmwkqrS0CLWaTBEQ8l\nEU5q0MISfbjdK3btWgFvrGRvz/7wgmXIkce/wIJ260utXbuJc3Fg9nYy5I3nn3vzzeeef4Ob3xoZ\nrf1d+2HiVO2H777W/oeZuOl4TwiV1T7QuJkgKxEVufwEG0c4YuPBygggJyIQDG5BlGCxeJJ54vif\nGW4qHxCBxEQjIcmjXvZJHBZJgJAsjBRmkMPosCiBGoFkcAQO20feaf/yAtbak4RLE+4sEXrRld8q\n4O8qxt8IWPmlu6L8gLsxYktI7xb7+pDVMS8k+BkjewY5IoMsCth/cAKWsMAEtuw4eYMx1jPV2V0y\nKE/X1UF0tB6/UZsEobk3HxEeCSVengagGtyqdXv2rFu3d4+2Z+n6e3/+XFu/5JkXtH/961/av3aP\nXL9s6YYNS5et5z7Y1ti4bXtD47YJziOLX/v9719bfMQZfqrp8rffXm46hQtrly6thbd7rcA3AkV+\nTGMipFB/3ID8W9Q9fAta6RPaYl3vszpKCgoK8wpB4eFBJqYwgL7Hq32t/cOjLz4n/d8LeCfwnaB3\ngt8LORkqHbCfsP/VTkBjBjLltnu5A1WUpGtJeDT2kAU8+CJ7x2jQk8FHZv9Fu4utX8K6xKa9qn2V\nvQMPc+tSKGgJNmH7hEex5buvsQ9ziLu0R0K4zR5NojTdAqV5n49g2Y4gl1lcxu+FgIAlVvxkllih\n3ue2HhZQg3HrwgUaHPARGs1a0FiF9VZQlMsLog9pJ78M7YWFkID9YQg9N8PClutt1K976cOw6OUC\njV9goPbLnhjmMpomXAEMRDTG1ZPbQXiCdyDM0y8OC6KAdohCmsBzGAlkn/iihDkUyUeAPt9I1MMQ\n9/qH/75zLUPX9grnwP2xcOXuj7x8RxM4cktbr204hj/eiz+mXLiMC4Qr5Hk3F0wQPok7eCCBRxGU\nCScTO7JUYIro67LA0XHuaOT5fbcOdMN8rKuXuANB0EaEHYA52gFRk7hDEDkOp4kChKcCvw+/KIlc\nJIwuUf50Q92Ns/6WAXev/pgizyDyIrl1TIvfq8Ufw+WA9waYaIdBIwloZJWrV2SIIvJqsBePvBu8\nVlibfdeDLIMDTIrAqyHYFBTAB4FkUXSAV5T1KgQ6YKXpLKNrRxZl3Pyndvum9TwU+TJTbaSmIIqZ\ngigU5cmjzVcWqAuceh7NKwLmXAruHifQOWmB5ZcEKzDcePbsB78ZNGVKctKy2WNfK5z27ozWz0dO\nmRQfI4uipuH120qWTpjcf1rfyRWZ6SeSB723K3vlhAnx/f0dQ/uxuFHbIT0hPA9WJBs1uxL9jETZ\n7+8IJPuzLf2SLAcT9g90HIzcPzB9TFK/kADUwy76GXsE9ArpkWXv1bNHVtxDY6xXb4DigSEdeorN\nPcrsiydp0fcXT1k/uJkIjgoITkB6DoOlL1iux6szqhrDHNIYeLnc8YQlJzQnPiclhwcT38XiYDpr\n3YbJt3+Snu6JiY6krNEXUj48XZH6itRcxeiLqgGREG/4QlRihSXhnbVP1q9Zt2B+Exc2dPuMg5/+\n8aUZO4Y0PbMnxTVTu3S4/suCZ1+tKS/D3s8u+WnmlIXa5S3HtdbFixtW/GoJznvrIn68fvRY7T3t\nW86/6YXda1fv2a2NHJP104cf3hmdvazd6fP5q4+fyF22KtVVqv363V3a/8yaWT7x4crCGcsWLsRZ\nbx3DoxYuajzUMv3reu0n7fci5b+VPpXLIhgVveFKpc8tgzvhaOSKbSpRkY2DiEaVIJwVaaFiI6pM\nKyDGkZpphCPQTCVLVCqCChH2ST1Pef3iDXvXZEXHl/y9xx3p+n/EaaRJiMEWNAnNQVVoNRIkLHMi\nUXgf7M9NwJO4XOMMPJObh+dwT5Jqfq40T27EK7jFxi3cVrKJ99XjHbomIWEkgjuh3eSitPqvuOQ/\nrGh/bMUlwdzuTw7d6YUXaUtgJp0BD3oDKJZhvekEvxXhj5pVpdm+BDerL4faDDLn5R8qIHOQj+Af\n1EdBQXY+jBogOp1oeMrCdZY6S044YgkH3GHdpytIx0VUmO64WCgaEYY34OEvPPvsC9oJ3Gvj+vUb\nNQPHf3Nn8ZPNe7Rbd9u/5c60f9a4avVyrlQbVln9RNXed15d+by38+yWD/8Eallz75oQAzbAHw1w\nBZieMx9Sm234OXSIh+lvWx0g+ZtQgrc1gKLodkR6Wi/hqCUwNJAD9Ghc4o5FBgx0mDtufISY0m+W\n3kPaLWzFaOk3pbO+f0p7WVuAG/C4hu+F6Zcem6ad1v6oXdZOT3vswsiReBcGOeBdI0BbgIvCYTcX\n+7gcqFkB/lllzqoiwd+UiIIU3s5WfDD3dJaBjzlS4MXY5fZ5UWHsOxbjDbfBAoZqX2hntTSAcgRv\n0mZquVqhEH93LvbDfXAc9t2rbdYWa7/SNgFPqAxXAXQDhS0281wzWiI38y+rAlYkiFJ5I2XHxZMn\nO2SVcCTUBLBZqOl+nyGH2wO40+3J3I9tw2gkmXmg/doB9+gRMLqCYl129+j8y+Au2NCqPrROEh3Y\nYug6cMQZMqW9isttP/wRHXPkgfaByC1FGi0Fo2SXEwmBuJkENsv252yHHM3m9fLqEA4F2frxSX7+\nBisE2Dfarred7JCmdpGZsCiWWQDT4pYf7+uIju6QLP++doyz12lft2jPa3V4FZ72DJYqq9pWaTe1\n77EXtj++7xJev7d90bjxeCsuxxV468jMTx8r0H6rfaz9QfttlE65MITxNc7lLTdzL/NoiSoC2cIg\nBXvY2sZihqHX4SLhSC7jKqyObUn67seZj7g/f/RRezhQ376DK77Ti3IY6WPjDSzXkPw6eoWjw3Xk\nJDC1yTQxxgwxTxNk7sRYgqCnxpqEXYJIAQEAGPpOL4TvbdJK2YgGiCa8DBySmoXDaIlRkMVkD7LX\nmT+A0ITyzwPFyKAY4dUBxeQy5ZoKTE2mXSYGxSq614xnPjp/bUxKQwWA3KD9/faBTe+5aRFmsUzD\nD64esg0iF8kmgvO3eWxnmgxBCEGvKCIEGaJM0THoesPWf0Nphqpzs8JjDmkoc0Qm1Bw+481hnlNk\nH66H0EMeyA0Q+skjuEwhXR7PzeDmcHOFZdwKoUneyG2Xv+EcYC0FRQwk/pIAtlnyIz2EXmJPaQA/\nQBgg9pcSjKnExWcILtEluYzTSQGsIWZIc4Uq4yqySlgrNklNxm3kWfFZ6Rj5tfQB+UD6lHwifUv+\nyn8r/I/4L/Kj8JMYN/UJNPUJ4A0Oo9aWSXon5tsDSYD2z/YkKu+V3Nz2kW3XuN+193VziadcEiB2\nNLJJhIPIYMTTTJe+i5PgUhKkXGkxWczzuhrBtPyI+7TtMeD3JfdcFENhDCP6jasfsUmyxNkwJ9Mv\nwimqAk5KVdJUiSMysFs2gDcCVySoYhA/TAWum+hconabcp0uv7tk0DtCSLoyOlJlpnyfQCSLbFE4\n1cF5S15qNBctOaVo1an2k/qrZdyTXL00X13MLZWWqus4Hx4biBcOJBE4jsTIPZR+eCiZIE9WSuRZ\nyhx5PtjENaQZbyfebC0FbKOJ3QjKO9wbL8SLcO8PtEVntUUnhUttMvnxTi8htA2U/84Xbh1LYlZo\nvitEstHcnA2ijDQgFQgVRCxxQfwAyW2R2vTUazzbKe3ULKZRodRAuRIGcIOkkdwIqYwrlRZzkogV\n0YEDxEycJU7Ek8QSXCbOF5fjp8VmvE3cZbAynMFY25iwsZXbdFK71T4LcL0byn9xpxf/xd1Q8ATU\nsl3ukvlrtqNmPfPnb0ki/g6rH0OvS+aPGqwklvOL0Y0X+yQxV7V2TK5exVi7dxUPxvO0Fdop7QOa\nlRWytVbtK+1rrRWPxAE4EI/crT2i7aTrHbwb1sawOtZ9Er+G+SQvNNjlB/6IuiW7VZU5nnqlFBt1\nS966DdNVgmUBXQaLI9SR4njM8YpDYP6pw4vz4L97Afl4g7Zm27Y12iD84V2K313tIyG+/XfPNDY8\ns/falc++bN9HOaH96OZEMMpz9bRZOQs2moxmbDIZ0ywhRsYaP2CNKcQUaIFI1z+QMSjEIz9qG6wn\nGZuSuwRP8GbZwC6M88IRMaIY0ck+rhv7UrB6+7OwCKvOPTyEcvPjnzPxzu+0z36AdcseXEhZyFja\npq1Fbv+eD7z0QkHoVVd/iPGIKtrooscGi540kUcOwjuaFe9m0xIDL4jEBpGSj1lQ/f15W4q3GmTk\ngxmjT1JO2/QYYChltz3Zfh9x+l6UK4RqadoCLywgAQsQAEq8AzmwN+dDfHlYn+AoLprEiNFStByt\nOEMG4AFcJs7kZgp1fJ0w12uFuELaIm6RQqeyHKCvF9217cX25J00GOsQK1mTWj/s/OXfjFo17+pH\n+EOM2pa1r9SeaW5+hjvhs+5X2ky8aNP09pXCpU/+uOYNbmz7zcZly5ZTe0Zz3M+DfGPQr1xDTUbO\nbOBCQkNkhZNULjQ0JE01hITyDowcz3lv9Gu28c1oYxSEaD1CVENooITCA/3NvSV/7/AesDgDgV+n\nqxXdP91277ue6jBPXfft6EYdBElTj4XGxseOjSV6RMcSBaEPyHbGY7r3BYsOH35kzbnH9rw2d++C\nLz/VPtO+mfXD4vob1S+faNxW/+VH2PcfZX8Sdn8wcMDiOUUlof69Lh+7/JeE+N9nZK74VcWToX69\n33np1PVooPveHZhX9MSEhEa5zKJuyF0QCrkE2Xrxett1No/YaQk1/0EHJbyQEoqsYEBCJaviUqqU\nXYoylbj3SkT+h/abZ9tvQrB055LAdruOgEWJBXg2NNrlI3M2AxKazasVtMQuB6mDwJem2jtMSqI7\nwuxw7nYG3Y7snuVsqFeT1y4vQr2LvpIDi6ZPmiNnD73/3qGz2ucwJ77SPgcbXHfrwoVbZFXbo9pV\n7RPcE0fCUJ4Vkohed8Xw1NcTG0d0b0+gHvwRRmmEx68gugxCAsSJnlUQGONf8Da5MtX26Yj0JCP4\nEcIUspAsI5KIJE7mqV325gL4AKEnisbRXCwfK0SJTnkQSsJJ3FB+qDBQHIkycAaXxWcJI8TJaIJY\nypXxZcICNAcWSfP5+UKduFjegjaLsTAbYGmkwOqIG9V+6gK+jP/0h/bTYMN9+b/SKAoNR0jaSz0s\nrndlCQGiAF6VD1AVEqAaVC4A03McInW8MPMFt+OF2AnbEDKmqRDmiOCPDLLRoCqyfmLFICGT9aL7\nvMqNxMQHu9yO746FIGIe+O8iJwqcSk/22NUeQiT43mHcMKGfmqBmc2OENNWlTuZmcY8LM9QCtZ5b\nxD0pLBIWq5u4ZiFYQgoHcQAvgglB4CF50EJJQQqvqkZkDiAO3iH7G61mJx8mOEWn5JQjlEg1yuA0\nO81DucGkP58kJMgDlGRDijHBnIky8SiOxU1CGjjeNNklu5Th6hijy+wyT+LA0xtzzaXcDFLITxcK\nxAKpQC5WitViw1yQQz03j8zla4X54nxprlwlzzMuMi4yN3CNZAW/UliuPG1oMm/md5lfMT9CPS0V\nEZVShIIjhp8Dg518jX6c11ZqYMXf00Bidv4mfUOUYL1zi+6beqJ14FqmYgNxySAnA/1S5PtiUswJ\n9ItwBmgOojOkGSBE5VmIyq6AaUg1guJePWnzvS9GvV9w92uz+wiNyX0q5EEhdisoNgSz/rKvIUaO\nMfTjBskDDKPlScIjcin3uDyXm2to4BZzjcIqeblhI7eO2yw8K28yBEKUQmRJUnywPwS3vorVFI17\ncLEkWughxSixBqepP6JR1xB+sDhE6qf0UwcZUkwjlbGmSYbHTCWoBM8isyDaLRPLpNnKbHUeofKY\nJy9UFqnzDIvRYgxxNFkuPCUvMzSZ1qF1eCOA3iw2yxsMu0yvmFydsqGSwUsu4xpcd1lzcuiy9qg2\n+U+cw33QK6ntR66+fTkJBovZBhbzGxaJbHT1uF8CoJNUAnIaDeRETuJdAthSSWG21P7vzQZS6RQZ\nKnDeXH8ugUsAbc3kXJxLcMkPcw8LD8sl3FPcBs7qgwNIqBqNY8lAPIi4VFi3k3mkSt2l0t0hwjQN\nrC9/Ge/E2y+33zoLRGzjStv+Dqvh09QGPwq6Fcqiz+2uQBZ3y3SzIU0G60+aBZhkOI1Hogqu7OJ1\nW8cK/0HHhlSmEfcf13O5YJJLflIsRNh6XDpSVgRikJHBhwTIVkO8oT9JllMMI8goeaxhPJksl5Iy\nudIwl8yTFxl2GXzc+xN0KxOH1fDNbbnk9N2HyOG2GcKlbXcrD2zj13vOTkwSvcF7jXNZ+P3iEW4/\nehUW8yQdydarbecS2Za7fkSDJURlprsy9WOebatfPgUIGNB8d9hhvO/WLQ3gNP3U1nT/zjpYUSgJ\nIMA//B921iGwwwfY1jrdWRc3UApOs1MXlIKhLivZj48IlAKUzovswOJQdmDRQ4JFP8v2IDpsYf1h\n/dyfq9Qm/fCD6P3jn5tEnuJ6mewTrjAP5+dSwZGhJRLBgmS9eo5heA60EQNa8EdOcKFntJHayDMc\nKEf7BbxKq+N60xjhhhbMe2sHgV7Lr9F+8Iq8lWZfILrGIB/e++4ftYNNTZSaA/wtbqVYCi37uhR8\nFL3Gk+GYt151H5Rx52l1M3J/PoDOQFyJA7Zqb4il2tN4DkSq9RCV9ebrQbWi0AlXjH+owVcxo/2+\n4nGzzdkQ+kbQ8YhW22pfI/IlfiZFNoQS2TsjGvh17iL4Jl11IeZuu03PX9F8uY2Gp66KhOCEkITQ\nBGdCWEJ4Sowr2BXiCnU5XWGu8Nzg3JDc0FxnblhueG5MVczy4MaQxtBGZ2PY8vB1MS0xt2JCPF09\nnTwdCkIKQgucBWFVIVWhVc6qsMUhi0MXOxeH+XXdS3wIDwQxdaSaw7rl3rm3Pz+4pHLr8dbWlBMr\nDp5tv4u5FzcXHMsveXvK/97ikkrrp9dcPhqb3b7kQGnhu8+/9Y590ao+fQ7ExLTRqP4N4NVu0CQD\nRPWDXP7kuNGiHPdzrLa0Bm72R3b7CD+jKAdkssg98TbLzVynu3WnbiYcKwhZHNISQgBPzy4VoIop\nTvQMB+AaQ2cC+erFZ555kb7b1w5+tf7cvXvn6l8dfPw4F3/2m2/OwpvLKy7UTmg/wutEYfE+QAYk\n/MS9a+QbkKE/SnEFoga8gjc3mFaox238cd9WmuS0m9BI74wAa9t1T5LTSrcy/nGTLt4CrYGLA9cF\ntgQKuEtonOROdoa7k53km5xnc187deq13GdzxuyZ2g4BXm8sjn+e73+wV69r589f69XrQGQkEGTG\ndjw4ArgFWPFTAEGrzq2A48jsfVyQV5tb8WZYkiCZG2GzGzKC2dxLTOzg1slu3KKJMSZM/cCLT9f9\nBPJ8a+vgV588e+/e2SdfbT8NbNu3D1hHjnHTfrqxr7gQD8cyvIYXag43+5Abr0XALW8UiKpckbBG\nUhrkFYJjPxaOG/GbfsftrcbVQYEOTnbIaDRnt2QEMRRPus953r6hb23f1vcqY1OCq4Jbgn8ffCtY\nSEEpOIVLcaQECnFSvByvxKmVqBJXcpWOykBl6hOUwWFsodGZSIYVqcSYLvGL2o4Yz78+6/T0ot8/\nrt3WTuPYti+x1MrtWbHtuJmbNuXt0/36HeoZhwdhFXvhdO2zk5uPHtpJNSAeCPsReO0FFAUJVmyU\n94u4EW02iydUzktCkiLIJosh25tu18HfSbt+IDyR7jom2vUFAFt+eDOb4Q2vDvNtZuXMcnvTen1h\n4HLkOlocdDUFuAdjfT0S0T+Jzjnux8NFY3C89vHxw4cPvSV6b82dWdTUFk8+bsp58yUmA20CPwVk\nYEA9YFUU4W8MVuwNXj7HLeR4dERrzAnluOWtgOBofyQbR4h2uzMjVj9wy9Tk5HVdUbRLbMcKtKXn\n4p4tPe+bW75WrnNd9xDuokK+/ZPI83uaN+7Zs7F5T6um3Sk8+PDDO/N+fTT5yJO/bWv77ZNHklu5\nhz68evXD01evfqd9qf01OOS1uJ5v/eaRoukQVNJTAoOnF7GTS29ApFLM+N4P7IGCiBmLjWZbq3Gz\niiFSyaEWM5OlTJg5GEo37+lZu4QjBQ6Wy4+w6Sjb6Jl7ZqH44tYnn2w+ePx42mt1757idrc/yu3c\ntfPt3e2Nonf7zpLiHyj/3gXg8wEu3ZHtBavKt/lX0QlOwDKPMjv2pa+30eSMteOYvcByhGyb+t1W\n+McX3G0Rvf8K4927ok1g4xmQBQ13BRk4CZnfNkqNwlvohPFVq2wVxLEmLBtRppWNfj3Z3nn6gAkB\nANlctlxbga3KpgPy9iSBdYAv/Dqzb1k2g7r6k3d2FG4Ve/zVzcEdAFkF7xP7y7ngE2izJxkso8zu\nyeDrv5gMtrK9scd4ToXgOYaLFXrJEzhYccg13FxhKbdSWCtv4DYJm+UXODvNAHMGoko9SAxP87+9\nJJdxJikwriTLYcWxRmyStpHN0gHyonBM+kD6RPoXuUX+xd/iA2hmlyZ2aZALEn3jOBf1Xfsh7vFb\n7aePi95tZfha++32g1xE+2dAb6fkwl9HmzlKTUce32WyCp6jrLcEURcXiEr0/umGW9ukYJg14WiK\nK1q0K34WJAZLDmNjsJO0Bp7wt0rIZpFlMdcmW3KD/MAVRbAkUlvbDX0He+jQ67dZGpeqoMsrITI3\nsipyXWQLvH4T+XnkvUgFdFLfo+6qmZ0q6tBVNDbjnaWvvH28uq5p7/HquWv2Hj+ecnj+gpfIyifn\n/ONLqrDP7aAKy+18fvtvXmhv5AsOzZj+ZMd8AQq80IDu8+XEg+fLdc98OVrg+J2Du3/GOP7DjAHA\ndMLoNr+O2RtfsDde4nE7Om5spVlWu+VhYndk3He+0hWR4l+P6sVF0iJ5Eax1FhnqjYtMi8yLLIus\ni2z19hb/W/627ueXuh3DrNl48KXmDQcPbriF7drNW3/TfsA28vk3Z8588+2Hp/+6Q/tQu6F9DwY+\nGey4Nx5EYwuwiLsBQ+oth7kCPd6y1bwav0VOBIOnHMF8Zpfownr9usdhuhTdY/4lhMdTozpY4w4t\nuoUcNcePd0QW3CBPuLGv/ZCoHugSW+DvPC6zq7VmuHninlbL6sC3/E8Es6hnBMQ/XXy5B7dT9+H2\ns+MAnTbZFoHjPS6cq+nw64NbWzuin/ZDXZx68YGf/unWKTIKsLOhBJe3aIA5YCCN5lblhKSKEL5n\n2qnrYPYQfPjFc9RpH8312uVFtUmPdjpVyZeMCs2K2/Ei8OiN5V59gshRu+3s2+1HQJFKiwQBoFVC\nrHUaoMWgb9xZzHHuJOa4kI4kJsRgK3nvBsdKPxqDRbV2ZjHzAmWzJHuHZ/SgWF3slsUEj/YPGpTZ\nu2cxPUlMFEONWXmQGmQIMvaB0CLOEGccogxRhxiGGA1O5MSRXA+1h6GnV7x3vKOnT4+QHqGxztiw\nyJgGtcHQYGww2ekvhXOcqIoGYiQmYiYWYiX+JIAEkiA+WImJj02JfSx2Uezi2HWxLbG3Yv1gkfjE\n/elS+sDJ/elSeqKDrMrZN2XlyukbU07u+dcfp7w/u/RU4dLVJS+5Xtryl9+WHuVTDvXokZ/vygoz\n99y6csexiIi3+/ef/PDo3ChLZPPSnQfZ+byB4Iz+LuwE+wARo1mQLWQ/suETcqNqAB6D/lvt5kxP\nEJPoXjfr50LBp76i+1Qainj7DKGBSXR/GpLY8Fxcry0fXfPWW5eeb2wUdmrvNbW3rMzZtusPXEET\nHkYhHwILMYkvuN8yrVbxCSO1Sjlgnphluq3rUuL9lsnL1iVD6l5/HKKG6eXW1vRX6979EL/B7W0v\n3LXr7d1c/d2Wg6VF9HAZzUJBNFqARGx3xdyf6xCh2IaQSHMdv6GpUw4LPPrP+VFPMCexYI7+4H1H\nMOedT09FP/KgQ4xrR3KzOJoSpKmk9dxuTqbwFaKwjYQAEsBHI5oTieWdcn/UHw8mg/kEmab5skgW\nnymMFF3yBDQBTyaT+Vy5FJXiMlLGzxBmigVyHarF9aSerxMWiMvRcrySrASn2iBuQpvwZm4b2cJv\nETaL+4QXxcPyO/Ln8j15mCd1hCMeeh9Pw9Pe1x69wxe05ZODd1so5yYAY/oD54wcdmUJ4/XM63hV\nIeNp5nX8f5V5/c3/icwr4/bowzaav7N3nI0yMCabmARM8HJ1fVzO5D5HRVswMZhoS10M9wTOh/MR\nwtX+ahaXJWSqLvUR7hFhvJqrVnAVQqk6H0Q0X1gkNHJbuS3CRvUEd0L4LXea/E4IFjiFiLxBUGWD\nAl9GB+dPfPgAIVAOVLwNDiPdB4rgYkgYHyWEi+FSlByjRKphhghjMhnAD5CTad6WG0kyeRefpu93\ny8OV4epwA83ZUuFO4HL5h4U8MU/Klccp+ep4QxEqxiXcLFLCzxJmibOkCqXQMMNYaa5DdXg+t5DM\n4xeC0BeJC6RF0jx5vrJIqVfnGBYaG+kOvHkz2ow3chvIDn67QPeftsqu+E3GXea9aC/eze0mL/Ev\nCfvF/dJL8m7jK+Zfc6+St/g3hVblN+aT3PvkHP+RMJ8pSiCmfzjCgCMmtH791eWvv2rVrlz+298v\ng8psIrPo+24L2dQ2C5g9BObcfNAcA57iyhTotjBvI7xEvwQec5jYOFAGG0242RQV0y+DCoqk2ECN\n0lSJx7wM85FzX8E8oZnfi/+3Mr9Ucywdp+psD0z/smlLy5mqGGm9ripbVJ5XA3iHGq0+xPdVx/MT\npUlqqToHL+DnSLXqGn6pupXfxW+WnlHXqXvxfv4Vfo/0gtqiBqmEF2DCGAKIQ3AoAQaaEo5Sehqc\npsE4mQwU+kk0jZ9gyiKZQoYyyuAyTaYzm5tMJgoTxMnSBHmCMtmQa6o0zcOLTNvxRuklvFs6bPqd\n6XPTPVM8PVPGRbCkL0xhvlh7HB+4rL2hvXEZv6ZVX8axOJYvaP+8/V3cqo3kRnE+2hOY5tIegkiD\nWkMLft6VLsmcYkMWynyELGabBVlMNqMJ0S+zCSa50QZTPM1kUKzIIDSSt8yGE/TZX1WBmS1beIvB\nCmLRpeLe6rJ12zu9b04L3/smdshEZpKwMklY4dVdElYmCSut1yVxS0SCLCrE5KP6mqymCFN/U5Y6\nVs0xTVGmqLPURtNi0waTXUWAG0xLg9lg8cUOzspbBV/V2+BtDDAHWGJQJLhwJ+8UYuUeSpQaaYg0\nxph6mntanLaBYG/7cwl8gjBIHWAYYBxkSjYnWxJsqciFXZyLuHiXe7qmKRnqCFOWOcvisuWjh/HD\n3HiSy+eC1MaD1CYqE2HKjjdONk+25NpKcSk3Uy0zl1kKbPXyPPM8y0r0tLLcsNy40rTSvNKyVWk2\nNBu3mbdZdht2G18yv2Q5bPud7XPbPVsJSFgwY32Fl4LZ5gu3IWfjkxtmZ+cnhWlDdJM988MF20Y2\n5PM5bRsJ/b9EJkGsdgXkq6CjrgBZP38PEytN3o9OkP2CTDDiMUuLJ5785bS4QT+J+oC0uOf5PZXJ\nje6CuTdQ0qhRjeZGcFmSYJAtBj8SKPeSnYYBJFlOMFAeZjAepssTyWT5MUMBLuBKSQFfIEyXFxkW\nG14xBHZLmD9BZrVnc0fbFnJH20v4gn1tVzbsI1EIbIV2hPeF9V0kWurq529xGMQoJcDqCDYIzjCC\nDPsVtB+/ozj2e70aZVRUIdLHHwWrghfnjZz+6apFiLJe9AQ3+sHjZPep3LYbJ+nSBEIOe3LHqeQu\n55AZxVH0PDKj+Ai46qkCDYEewp5HeOBqwBB3voYdrwym4TjvO+yn/bPXPvRQ0+P7fxo2fM2ERyoq\np0xY8/a6jZ/9sLm2qab51mcbmiat+fHZtf6Ba3f8uGYSUMlrwfiQGAyrWPvrGL3Knta0sl8roD8x\nQI/pHDogBv+IZBpxduHJTteA0KhAH6NFDjQ4/C284CTIf38g2h/xTqBlv+3VqCD/AIcFQ6AX4Iiw\n8ygg1JEOk5tnXEkEtrgZ8kC+6M/+6rzpyGfdfz7bk896ML/cTBrYB3dwzYcyqZNrvYCczNXjp1RW\nThm/OjPlpxdnrx02bO3sF39KeXtC04871gb6r332x7UTmzZ8dqu5pql28w+fbaR7BPiCcIX0RcEo\nwmXF1kAj8uJ3BHrtMIYgS4iVHoe0Xmy7eMP6ji5ThwhBdkw0fbHU9QCIr3196AsQFK6UvVZY8YxB\nkCzbp006OJ3ebVAF2bx92oT9pO+RscOH8BwRho0Zd2RsxlB2mY3u3dN34qUcDsyM/n/9YIJO4DqQ\noV5TDus7MwpDZ135RpvJGBgUaLYFBYbAO9gWFBRosoVZwow2s9FiCXPaLGGh9D7NGGgxKeRdhxLS\nbFLWOoNCgoP8nKFhJrtohmVhIJrgF2QRJ9iDwsKph7yRaL14M9HGfnHALSjmMb/+5CZUsKVQtzPP\nXfxm151uZwRdCTkDjDXG7UZ64iwwN6LUVGauM9Wb5wfND57jnBO2OMJIT7J0WfkSHNaxVqGni/Xz\nziR/copr4qSUlMlbtFtcmDbpoWG7aqqfSxnKeevnn8UpKZMnpqZMmqT9b7s/yYmtyappea46c07s\nnVXsSDRwtkaro2eMgbPR7v9F6TPcG9EadtJWehxqerh5zqOduE6vEZKkaVDT110jII3VsBNhTE6J\nHjnhGFbDTnawmkEdErzJatgujlgKNcPdGKxBeQyDn9ek/2LNp91qrF1q1narGdil5o9daySxS81V\nd80TWh3dnYCaTA93UJNeQzPxDIORHViv+oWa9F+s+bRbjbVLzVp3zTpYVVayPp944NwLpjX36Gbt\n3m416e6aP0OfR7vVfOquof8zVyaD46lZq9e4s8GUOw93cGdLB251bLS8DkprfqEm/RdrPu1WY+1S\ns7ZbzcAuNX9017D1LRttUgcG9b9Qk/6LNZ92q7F2qVnLfhUNo+R7Q8hpdqo4xuUt88dVDi0R3zOS\nyQKeqEyWEETKQ2+wx76t19nj5gk4qfPBb7zvMK7U1h/W1tOfA9Ae3Xr3BX7qVprxfp/UkYfY6cAA\n5HTZxPcdJ9H7xvWByhT7I2SKXyB7kIXtgdLH+Lv/gIavT+fvZHAot6IiN7eicqxrTq8+fY43NB5t\nFSorc8eWl48dW7Wkb5/e1WlPvX60sYE9/3VQO81HCFuQCHbxYVcvLx9vZDHCOrFBXmGwNlhWGI97\n+xiOB4cGtfqsDg9yICXEy2CReLt/OOBzkf7OjDsbRpMU1pP6ppvd7cESomwi+2UFR3R0DBkwYCCY\nfQn4EE1TiANtSV4+PtzeDbt3c9ZRK4bjzJUjU1eOKf0bfaL7b6U4a+UyMsn+ZevxL8lzB2N7krYW\noWfMgZAISbuOnd6wEsKwkEn0oY8F8GEglyWgm9OBf4GowBUm+ci4AdnV/d6ykW9BG/3XW40tZmRS\nDFIQ/TWdIOvVoefOgbvVD+on0gN2F4feTGTPQ3WEHEHMhQbBy/3ENz1TyCHPJqK+J0TDpSS2L2Sl\nhpfPyV7x0MZa3KjN53q3hd44ffqTbx/aLBw9Fhu7/eKnTVr8gQP446abWPjfUMr/R+89RJ5nUh+G\n1ruGxif0FJFvcMIA3hTzdLTpaWPPU9EfRFhPGT8Yuj4iJR7qEniv4N7KAOI1Mbn3RKcy0RgekBwd\nTiYmpYBArtOfvdGf6tJ/EIQdGO18Vpo9n9IRPHT9xRZ9Pz2FxRIpKMUTS+g/W8MeY/LyZMnAS+u/\navOzXJk7Vdbx2xq4PmXYqjspw5rOjWsaVDj7twHmC8senTos+dzLWdsmTdw4uPSJz/w/WTz1kSFD\nPtybtZXs6zOlT/byxt6P9Bm9gtuwOyYmd8SUGos8d1vJlNX9+5W71u4LDobS/OzSevO8raWPNPWN\nq8pYuiuYRmBJ+GOyHPTAAPGacpoYxUfpRNR/XSoBe1wiTRUnvfyrJ186uHDhQe7Oky+99OTCgwf1\nZ5yH8Mkwq00oymWXOf5dmNScGUlTBTIVG8zWixfbrrIH9U6yZVYCO6pNX/Q51EhuPn5nzdtrP/0O\n88Kln0rF0J++IDm2z1rf/pblb8GWHIToMB5tcyX0jgkz8qLJifiePg2+Ace9eh4nm71W9zEqpmBn\nWIwiR8bIYrAcafXpLVtRJn0gtu2c9dTNi/oTsXa2LxV/XbtJdwchJqT7HC6LYBEtkiXG0uNp49Mm\nSRVVia4eVZMaanKqYcZwPtrf5B/q7xzsHBw2JnSMMyssK3xW6CznHnGPtNdJTxd46Q+tMYH/mzTo\nQE9C+Y0f/vT7K2TzvsGpyXsLvrjgWpGVuzq1dt6QkkcLJr64WV72xNIVb/JPfHjl27/INQXxD/eM\nmrW2+ODr/n67Q4IfeyQlf9jAIY2PLDoYPKNq1bK7G2Dq4kCExK+E88gX+DQIZcMsHpCRlp6SeGZk\nwpnkUekfGZM/Qmf8PjSeiRyZkZTA900bmpI8IKtvwegBBelDp9mVkNHTRCXksZ5jrFevsyf+TgLH\nEnWW+bqfbvze+j1M8U/o6Wn2OLHEzBNYT7phPYAZU7BUibyv/uMk3Z/S84qwdf3FIsnHx9c3AtpH\nUDXg0bIvp00rKJg27ctlT12bNnXqtEenXXtqC5bKy2fPLi/XftqyRftJv8bSwvr6iomTSg8fKivw\nS++z8uCSIVkD0rYLpdOmTftq6ZJr06Y99ti0qV8uW35t6rRpMyqg951tW7S75eUVcI2FLduwCNfa\ndO3GsNHZKTPmzp9QZZPHZH3+cUGStoMMR6QbL7NQuiv6obPDBp9L/Siy79mEfudGfOR3Bn0YecY4\nsHD4QwnTeiri8GkhimgfZb16jj0YCTzS+dUOvLLSjwT8C0zx/QUmskePOs9ZiGLHc5E8+gWubHkA\nB19MW5rW/OJL210L0tJX/l+svQt8VNW1B7zPa868z5lnnpB3AoGQkBBCQjAjAkVERRQERMQxEB4C\ngfggCSFQq4hoBRVfpYDWWpN2BkR8QKyUCk5HVN5Vq1S9oNXAVdoiFUgm39r/mUkC4r33+33fwPln\nz5n9XGvttdbeZ5+9x3x04cJHVz+ovP9TJKm5HAG/X5mRvuXXm4Jpmc19Us8cOPivVNK7Qp70uGEM\n3htxsyt8GYJB1c2y026SDGEbGXSPYFL8kslvsd2h+V13ODxYfMdfAcYa/DNk9hKK+SZrXBW48NCZ\nPG2uELClQlapPC74Quvit8v2LVm8b0lYOdpFeqDzLeFE5KBQGEkVR86IpAonZnDNVSd/K02Mr3cS\nu9c7Hfm/rHfCPitrQpGdzxhmRx7k9uRDZYzU36DjufljfDX2BzJ73yhUM6Va5svZokNY7pWwqAmw\nXXbZ2iUrNq/ZmnD5JWPR9WRJl98Az8HnGGYqMw21Qq1Yq9QajLcKJZ4s/t6wOGPfvkj9vn0G/d13\n32V4fzpP+UQ+xlzEjUyb1SyJ+2W2wWDdbzdvcBp0o9tpt1mNsiQaTYrG3GS+9xRj2utI5Xs0bCap\nrTwFy+bKEBJUssn8EvLKyOUqy/iYL1prChLlx74tNnacj0SagpGjwmtvd66SnheGzz760unWSGj2\n4dbTREEa0atjSTI0qssqX7nDYdfsukPT7DaHZrfybyOV9ZJlvUNYr69nKx3qeilgMzl0zWZV7GYm\nGw1iqtNsd5PJqMQ7htGthworT/FxPPYyuPS11+jazRX84Y7PVeO4V7/X8YD1fv1Jx1rPZs8uj4kv\nqnF0v5koZQkJZH7U0s6U2NuJIzpPb35fXLwm8pqwr/tFRT52U45u7DgtcWmY3bVT+dKQwEzUqgFs\no6+yT1qybcBAl5nEydY/N91tk/Nz+ybL63Nt65PX5T48cMDAfHeCnt43C1H69NfVNDUpq0RPStAH\nYnU9RvJ8riY2LRF/tKz/KTrIh9qNzeH48m9m0zw3J03KmOeZldHouSf17gzTGNdUNtk1j1W7qlPn\n9VvG6lz3pDb0s5AtMgnc6jAHaZJBWKBF6kUljYN1WgllCSppIuyJkKfmya91llzx3G2fCkJe/Qj6\nG+nMy3vguuv5Wy0/P3bz87Nbr5vA3xNaceyW52vkKR3bfFfxt1tq33jDdxV/3aX2zVEbZwvGzfz9\nlmuv2TX1nZrIWbw3dM01u6YQ3Y6xY8p+6Vs8Vy9kXb4+BSkeU4bEshNlj5aX4UnRMoqs9M1pyHf2\nLYpOkseed/IwJ0WMCkW+txRRkRSZLz1nqmJUTIrZrGsOzam5zG6P6JE8sq7oBl31GD0mj5nPmCbr\naY40Z5or2Z3sSfZmi9lStpyOpenZxmxTtpnPnebrhY5CZ6Er353vyfeWiqVSqVykFBmK1FJjqanU\nXGGv0Cr0KkeVs8pV4a7wVHhHi6Ol0bH51NHG0abR5nH2cdo4/XrH9c7rXePc4zzjvJO3p21N35qx\nNXNr7ta8rf229zfyJYi9N17ptZAuofd77/EtAOiO9PjgB26ateKeqRPv3zP4/kmzmyn0wNoxv57x\n4M7fPXDbM2NHbbz9gTd/98CM9WLhlGmr5s56YFXZlCm/mDfrgQe9q5o/e3HLR8sfeui+L3635a/3\nYpeG7t22NDbIl6gcUKUN7IBJsG6w27DrltXoMRt0Pv4qju9cER2LXbT1Fvfae22/1XkYeznIkabW\nSJNwX6tw34UXW+OlyS8Rr8zsJt+g/2U3ioOG36kbTIJRZNmqnGWBii2OTe/+j5tS8Noon3T4pD9F\nN5TAphI/RE5Gvt0m1LYKizrEVnZJbSb7Cv+3HSYOClQdo0EVs00yQ3UqT11SnZ/aaIKvx8VmE9Ju\n4UpeFxqrtkbWbhOcnaFWrAmjkbf8NmnIRPaOb4wuOrwOTbRrXv5H14w2o1202YwjNQsVfTjB4LQc\ndpt020rRarJLileTPE5dYo7ZLjZLSLXNNiuzVCkJPDvFX1F3RlVKQnT1HlRoJV/P89MPgjFUS4Jl\nSqJ/sfnwfg9oa7UXtc3aq5qSZ82z5dn76/0c/Zxl9nJ9lfVB54u239pb9RaHnU+ixUSjNI+P0PFI\nllsQT4b8SOSOcGSmsPmmyHbBGHn7LaFRqN8V+TOFX71J2CSEIuVCqLHkV43iuM5R4pudrzX+qgTP\n2iOT5S/lmSydXevLcSWlSV6DZLJKglMzrEr18kfu7I8ZSSYnf+yexp+7Z0RXBO2JLsDkO22ewnsW\neAD/WlrmzMz9mdIlj+B7LWHNzYuiI/jGQ6ueWP9GVo4pPbX/1VmjJ2rF6/yzH82PTDaYO8eue+Kl\nl8RHOp6vLLdYn0jwXjfh+uuvu67zQy5fc7r+Ie1WClgf1p/5fUksL8OUYsjzGLSMFM1zNN+aLbG+\nzuzEfP3Ie5++F1f3FNQ/0D+IDfZjPoOl22fQe3bQyIdvkM/y4/5FfMeQuNpwYmkRhflaGZX/JEK1\nOMUzmnb12LK12dlFa2dt/2vks6NP7zv2/KyfW26+fsEjkycseERccPNvrll5310D067wR96NnIu8\nHBnz0W/eEYRbPr+rKRLZf1ejIHOeJEXuVYYru0l73Opzm2WrqKgiU61mhfozMxiM1tiiA33PkffQ\nJtLYRTdIk5UJyjRznVQr3SPfrdQqDeYV0grFOs3ULDZL3KlpNN1leVR8lG6uMHDjxd/0N+Ehikko\nk9s7rhQ3d46Tvjv/d/Fo59XK7t2dJZ3yn9ZLGeJx7IlGtVpMtVJZX59mED+U/8q2GKUaQalhRmw5\ngwcA5K65MqLvz2+Qj57uNH+n7P7hNUPTufv42vovuk7LrXIhy2L7fIMtoietr8SMf9OSvezjzI+0\no4nWvinJSYkJhmynwCyinOX1KJlpTmuWc46SlZZNfgp/6dLhjPW7uLtygq9zik0ZdD9syEY3y6Z/\nsW42ObFvYppoYibBJtokTY6NRI2aSTNrFs2q2TS7pmkxM2d32zwmryXBmKgl2pKMyaYsB3MIXv4G\np9vrcdCAKjUxNcmR1Y93yiypewdPNW5fyrBPMbc+WWRmMuRVr83VtMIyx6Ccvn3Lku+p92ROiOz8\n86tv9x9aadqc+uhvpXppXSRp3HRvxWBFecRonF09aO1zwtKORdI63+gXm7CyOPKIdN5gZzks1+dO\n/4Ql2z5xJX+qvpxrnpswr89cOTc+8dZx6tMT+t9P0FDINbTM6ew2cnwImCmRrhV7bKDXK5TNs4uC\n9a13J1T7yvKHWQ0mfb5dlh1/3HP9rFEjMoo0szlyXtx6Z7koCW/edOXQqtwsbWzn+t0LIxkR/41X\nDqvqk+q8ke+jVScclYZjj5++1Ddv85X0U3PkNGeiTgKUdkxnX+QcU8xJnyX+3XPM/HnqunyWaEvT\nMw2i0M9hmC/fmZg535ZPTXiPL6rDdoKx7XzPnOCvNOz59r//Gt2UCs8rsMGRQOOX7gFbSfztAv6I\nxqt0zzuWrhG3dk4Qg+sHrr11xdO73nzt7ruveHDU1etGv/5K5NRzy/0T5/xcnNAovhHx1VaNWrV4\n1UPyLbdkZjanpm49fdX1vmvXLuHP1mZS26rRNo2lkE1PojZ94aV26MfkdanMZROS5qt3uubbUsGE\neM1PYQ4UVe21QXBCrzlRVE6Y8soHH7zCt/Sau7x5ztymZVQhOeXYrl2ffPrWrmN1zz14/+bN96/e\nTDJwHVnX/co/WBrz+TJNXyatc2qSxL7UBUe616VZ04iaTFxgSE3VFlhTvenUMalnRjdn7N48iY8I\nabyWw3dOdJYO4Qsl+YY/9DUj6rqmkx8rqsr+zpdefifyw0cfRf4T2tb5klC1cZ3QLAwWCoWVv3xu\n27Zttwvj3z0tZEaOffduZPvt27atEfLfIHX5UOTeyL4/Rz56hMtEY9dxdZHcSN5ACbtCkHxX5RXk\njLDb2JCWHO8DngedrMVe4dyRmjTogYKd+dIOe5s62PxGWtLDOVVDynINGsspS1VzNQ8z2kbkGrWC\nMmPm6Cq88dJReeTUnthjxljD9D3cHO050VEJcSnGiwHR92Dg1a4sGlA0sKigaFBRYVGRb4BvoK/A\nN8hX6CuaMGDCwAkFEwZNKJxQdP+A+4tW+Nb6Nvu2+v7kO+D7nP6d9vWpYlWGKluVvUpT4nnE08fT\nLmKLDItsi+yLtJkDZxbMHDSzsHZgbUHtoNrCFQNXFKwYtKKwD147iL5hEN1cr4/Q6x2EuHH88asy\nUs8LNYbXhN+ufmaHfdS4I7/4L8HYsc363utz/lJdfWDe73649uqPHv3jod4v0vzy6HfRl2zEJ/j7\nCULRtBmRY+en7fpLaWkwf2D9vUuXtr3U82bNzEhi7K0b4tzYruflDfKbsXHYCV/lgIG5aX2SfzQO\n25Fr25H8xo/GYTQK66M6s27orzsTRg+MOg3FsTHG/zQOiz0z9tX2E6oKpronp07qMzl9nmd2RjNr\nlJuV5l7rgJutjbYGT2Nyc0pzanOf5r7Nac3pjRnNmc1ZzdnNOY25v0pan/NS0uaC0wW5fPw2qc+0\nfnPZbNcsGsM1sLswhlvdd33is9nPJwayHd2jOcwLxYcMCTR4KOVvhmA0h62vsjCak1ZHkvrXXPn4\nH9zT82uueKrF5W4aOlRw/PPWTVetue2x0qGRb0/PfK5qzUwpo3Nrfr+v/3L93c/273/y8NiFg566\ndu+9fKVxyZCXrn/l2neW8tXHQ0peui6606P0B/JX08lsPeArTE9WRNmQxPB4g2Xcl2Vd73o4a2WO\nITPJa1IElpxpYqlCZmpGrmZK9ebw5xzY2yne153di1nfp57gjG+Wpt/UszjuMo/ffZa75LuUuwx3\nqfekKnweJLpHWu8XkXJje6nxbVddWaUlwpm3yqZNqyi5b8F122fO+FPNG59fPXVKUa5RNex59115\n1IZZP795ymV3Thsq2COXnJrgx6kJ4krZqMpMolb2OjXhzP9wakLPG4Pxhl268qT7XAWBL0TNcrhK\nXCLbt2+f53m3/GHk/ADxUWFW5FeY4xHSlE+kGTT+TfCZ5Q0iDWESyPXSP43O0+85FXNyaPTx0oUX\npRmdu4X1WEHa9aGSZGiiEvN9iWYcfEBujMgsZhPOQGBGwWiJLWukP5hwKeIzTUKWoOblCPL0P9Z1\nBkdGdjclCSlUYNPMczuluoIJ/s7hlHtaZLIiGtzkPT3k89FAUrM6kvom8TWTsuro2zdpZJLVZSYZ\nTTa3GF0POb/ytmjCQ+wruSXjKS3VmN23DzlXVgvVysyc2fFa7Cne0xHbZyv6+hH8ydgIJqG4e1eL\n+PDlUr8q9oRJxeEMYq+Z+DISjAwX1Jci5k4YOHNJUqWQFnm7ueLNnRXVhUNuL7x9QebqH4SEqux3\nniol2/pCn9SGX0TCj3beHzl+2ON9MSNj9Yti4FFh3OtvO7HzoU48OUN+/3BW5UsblFaezwoyXXwF\nR9/8DYPLN2TKG1KsG1yVfVmBVolFKrG9EPlcYtydKP8/rOpw/V/WfJhVQ681HxaFf5vcUnOZ38xY\nHTK5RVz0ynWjh8tEpBHjb+JBRaTgNcLftl0fv33jNh5DlOg2E/luFcpM8rhJ/Ngwn8YkQYqeo6Go\nikElBkbHnnvec/B9Xe8QFoi1wlIsSL3HoC5kzUyETuP7yWWIf4jMkEZ1fve5eNX5Z+VvL+xRtPNV\nOM3jETlHzqISbKRxrpa+5quev46uev46uur5a8YM5q8tJDlfG01W/sdssqk249eqahtpEi3yP1T2\not1kVURVYosUs7rIutCud3ADXRw/keHMJbv59MwuXPqdJM0j8OG9K/pHzuFnTEQGZEX/yFm7Imci\nZ3YJz08Unu8ORt/DekQe29MS69c2q8lssnxtptp+rRpVKzXBaFSVrw2KKIny1xK17msSZYWazPe9\nsCpmCS2xGgWFGReZVWGRxGqpJZUdNLB3XqYll29Br3mK6DRFTvTPbuFoZAC14bCwLR6SsyIzJkZm\n7BKsgnVXT5D04CnGVDf2PVeje7YbZXaf2SDKSQpLEkxJfBDYER11FeLJdlFObMKaX9KTR46ILUeP\nng8cPRrBp2fV0fxeq44MfNVR9y8zev2ixH6JroCZ0WsFjMJXwPA9ghgzWkln6yyJDfelKeslBynB\nlYl8ltmU6NTNHoOY6mCy0ZNkw6Z+R/jG2MXO+C56cAj4Lko9M8bRTYASYpsBlajn47vaXfgwcn3k\nSmGX8HLNysguvgWrcOXKnvnjZUKtsEBY1hr5IvJ55LPIZ0Q1fr7I2/A7+dkiv/ANVo0xM9piHGTd\n4XX1k3YY2zJz0t5Icj08xMC8mYNNGjOq1wx2mm4Y4EwdPYS/X9ARfdW0vPtUkT0nThV3u5bwU3Kq\nSm8rrS3dVLq/9EDp6VIVjqJaZawyKXAI1UXGRSall+OneH7s8kVfPo1OSLKcXqMD1Sy+wL09aSwc\nvXl/8ZOjt/lfN/zs4MN4kemfDx8eed3Xj5IjeH5r7D0n8YmnXwluLI2/obpwwcIF8XebFt05vzZy\nbFX83SdusZjwjczEer7y7DWxhX0j0zDznejW/ZwjMuugX9fGYhqjMbVXKSaPGNuzn0c0sh8QUWRB\n6RtpAfZK4+tOXAa20SStpK5oSFIlWSXh5acNvHfkPT1y5IPu44mySl0lkgIUVvLNdoVnOUrfBISq\nyO4A8Md5m6SNBsbzVpMMAs4esHIf6D3902975Y09fHOAAuvJWzmKvXz/EN/Rl/IWDiPvRJ+FbZRW\nGiSZamvgj6Leix190auCsaphlx8pInwYTyltZDylsJi7C6e6U0aLl6MFPx3ZLVTx0dHH7EnlE3lR\nrJf397lZu2hol0XjBtlsJQ9vicz44Qw4lCG6GywOCoLLwF/l5JM34mdn6dN5HrvuLjobcX4vXsln\nhQ2RLOlbw93IO9PnIFVulA3G6P6mBkU19rghWIltUoXzkWZhpbCS8EzEGrEqKzv2d4SkcjnnwicX\nDssFpA2wJhxrjaZ3rzWagZVY2CcE6+Equ9fD1ZGeECKru46L72PkPMDnYhrf/U3DyQwPs3UycU2P\n7rl84jLnMhRs7pi+WTl97t9cv89gE+U35W3Yo/s+slSmFI9c0JflpYoZfazOArfFLLk0oU/BDtdJ\n7VTejj4nM4r6WplTzs92F6V6UvL7uFITTVK2xSxIYnY/sc5wV36/1LrEIv3TE6fOnDjVMzCJL2uN\nUgc/6hcPXKJHcvCnO3i8nqDmYRKCRgVl2Oy7LK8sAZMQrt5rHhv3L/kgJzu338El+4ffNaJi6Yj9\ni/fn5OTm7q/bX3aXr/Lu6b9aUrvx14sXb5C+OFj3wfB7r6iqK6co/XJzcvbXfXDFPRW+u4Z9ULc/\nLyc7sqz22Wdrl2z4NdaDsEfEOti9n/lyLm+/DSNF+R/sRb7f3iJlYa9NqC8/3R8zwGLdj0wuw1uz\nj4hPoryrfbk/aU0ViReowIT22jr6pyb0L7GQve0i530hP5WCPF8P2Zpf+fpZ3Imq1ML0VfbEt7wv\n258ysTcVwWHXZK9oZJpbNhoTmNkwPhkbYvMV3Hx5RXx9a/G3EawwuuhV+2R4tcn07+JX7ZMxyEjm\nv0fHRsm6V0/QE/UkuShlQsoKbYW+ImVzyoGU71KMfCYwdm5a9N37+Epl3lvlcTsi6o6tWwOv7ODv\n45/bsYO/8i0djL6J//oW/lq+sO2b6P4Bsbb+wpdhdMmapcUkr2JPOUxv2kSFmY2SUTCTJ6MLTvt4\nL29itIU9DYxc2jovWuelfxe3zovWefnvsefgRQkTElaYV1hWJGxOOJDwXYIx9sTh0m0FxHEi2xF5\nvWdnAf5etNJ48d4CPSsQ+bPydKdhB9ONO8xkb+xm60rxz26NTXXYhJtNylSLKrl1LNHD8x8MW/eQ\npSVDy/8X5cQfifGrJPZ0ORRbncivrdE/n0WmCy88K6Y9I7wQmf5MJ9998hNxrBCUxmB9vHgf41ZC\n7l5v5YoeISONieC9Q6dwGOfZRPV47DwbAx9ExI6z6W1GYufZiDydtADpeqzSfVakVWGbLrZKWNOQ\n08sqibBHkdk9mcaMEulX8mPM4y86J62KXcOCvlG9zkrzscesgx7r+0i/xxLHGB4bYn2kItf5cHbi\nuvE5V1+VN3jAVbYRJptml2yewbaUEfarbZ6yAbYUe4ZlvN5xgryy6B4aZ2MH0HW7OpUnirl/hmHh\nj1774K8ummKv1sXW5fXaM2s85Go8G/+/HaLWK5zBD1HrfQbFT8yXGs/cXF3d+3C1c3fFjlOTc3C4\nWvyotW2x3zfFDmO73Glrn8cPWDv3b+WX8ZPXOjfFf2+Op+jxnhf08pHVmI8cXVm+oNfKcjW2svzH\nHrd8UZrreqWRelajX7JO3RD75XlShWn4ZWA8t65C/ktXhH6ZiRrEf1GjvzC+NfoUlBP/RYr9Mpw6\n6M6LcjPEfon6/PN7+fxybNV79JcFvX5RL/qldxrDRSvl5/daKS/HVspHf1nQ6xf1ol96pzHwX+J7\nNsgzqTenv852XbJng6Vnzwale8cGrmdht+RvpSrDbKJImc8qK3z9kiqLd9NA+tOYcSouv3gN049e\n2S1xZeWpWcJrT3y/Zvv2NXwh0/ffU4zXlD7SOEMZS2F3+LKZU7VbZMGpahbZ+XaSKr/tsfx3qibY\nmeqZ7L1XnWy8JxUro+OLL6LDy+45Oz6o6Nnh/zJLe4Xo3CQeKxVjASQfTJRgMCF0lHszbLnZYpM4\n+5ZcX85F35RpZW7X1RNXPZ6aEQ9wuhxV/NIA5SxRtPB18Tv2LY7jiuu7/3FNF3+scVSc3NmqnH0C\nu3sp/aVyw1gaf9/ss1tOk7P/ip3aK0zmR6pFHxCeqTwSy/QyJ7ixXjN4jsueHeQq6d3a0D2W22+e\nPNN2j3njunUbDWOvuWbc+EfXrmWC8KwySpyNtWUDfSbxA/a+LFTHtX5HTwV+vEiNXOpn33vPoL/H\nvY5v5S8kp2qA7r3N55B2e/5l2q39M5FNti41THYm6kei+1TgwKuLeJaIjBPpX7fB7b2I+XIxenmK\nZe6eNYji01N8V95885W+KQ2b6uo28Us5UzXlZro5xVe3eTO/x9fmZUXuFqlvkKVN89lNBrPt3wYK\n63mSyc1nLTk/C4907CHhyoivwM8r9cZ1snhT2dCl9wy6eUDmuMLhlQMKrphbNPUWq/U+h1Y0qO/N\nI/jpK9R7glj7p7KRPodB3C6zV4yyKjFFkDCa+JQPJHrmSC4WnR8txyuRsiS6xI5tP6xa2frZat6Z\n+D7JvC3ju9uS7tMsdrP6b/sZPpEr5znc/NwzNKYj2pgSw49Wbgpv3FswoGxo+hVpuaP6NtSVjpiS\nNmiQpt1vNt98a9HcSzWBxLbLwiuqpNwtdGsC8lb/F00glSSU0UjwNSiC7+VvhaXff0+VF7r+Rdr7\nbqzOrvL1tVrMMnxwvqk/+QMWOyPvONWqVphYvZ2Xsyf6Hl30udwJvsFw0fYibYImQn3lJERXA9G4\n4vA+oXxC5F7xw44ZT1z7hXK08+lPFkW+7TzeKg6ftxD7TokksmOxb9AMXzKfE+YlP8VdGJOZyQ2K\nYDQ3RN/5ONFReaK70FMJvbaTv/SlZpce206+Tm4w19o+t522mXjFaOhD/hhVK/RG0/jwG43j9hrc\nnS9Om/dIx3Hx2SnzHuH2EnsMQ7sPjelwI1sD7Y59O/Auy+TYKPJz6mE8DfZqRJoR3WneQhq8rYo0\nt3anSWF8fawceV4IKk/HT8QRvmfy94pRZopBNOqfRp1JnIjDnXNX9H3I1lbh6U6zeFZmHBnODGHK\nTqyyTWI1vnTd1GKxEdec6+0WVRWSyA23eZPkYrPDlmpk9ckQcf6yY3T3h3eKY36Sr196SnPK1hRp\nk2mTeZNlk3WTfZO2Sd/k2GXaZd5l2WXdZd+l7dJ3OXSsv4idGsGdahc4HTtP4rCwWXhZeDIyNzIh\nMjMc3idMiGz9d/xgCeVo/PwI8c21wvFIn7Wd7fGjJeL765Ac2Fk/Ic83I6cxN6dvVt/sxqysvlpj\nVt9+jXn96HtuXj8aSOb065eXmZWZlp6WkZ6eNrJfXm5OZkZ6mjGrr6RlSTtSTDs8D6dkvdw/N89p\nzUhP7JdDcZW+msHqdN5gcCbyrcCiB2N0D475TlTRl0Cjj/Niu6eEaZwXuxD+b9Xe++CUqny+oPQe\nb86AtH6ZhVmF2f1zCnIL8vL7Dc0ZkzMlfUoG32lwdubd6Xdn3J3pysmiYXRubl5ev6HZFCF7dM60\n9GkZ/nR/RjNrFprFBqkx9nywZ5+gZmezq9nd6GlIacCzQv5e4tLMzfmn8/P4uK3XCkH+AglfP85i\np1oVexPylLycvJKEnARFGlM8pf/vdgQfWxccalq+JHLiq39EvhTcx5xD8jdFdmcISa+eaBauzYh8\nLD3u0D96+82///3NhjeF3Ecjnwe6ImGhrOu8UKYo2+ffMf29dYtu9/fMnMzvNXMi85mT7tmW2b1m\nWx7hsy299oe30ihxhC/Fvt5kW09yvNLi0UzU4Z1JhiqbmR/V4MUORd17xHdgk3iTlpCWUJVwW0L0\npIKS7r3hXfGNxcPvRuKbw78beeTZZ35JMvfDF59++l+RoJzXefCxBx5YF98nKbar4BW+FL5HEt8r\n6WHjG8Ifpacuv0/SqcvvRZTTvena/6t9ktS3Op+/7EZJ/BmeWKB8In540Smj0bd7owsysHJQ/JCv\nE6SBWpWyQd5LuvN+37XmDdEdJjYYjaq8AZtRKBv4xhQbojtSbOA7UmzgBmkDdqQYaebHBolk3hTJ\nYuJ7mKh8pZZRZNiMovK9nuXfvRc09t6E4uK/fMGlKpD7LJQJgrIhUiaE742URkrvEf4SGXaPsE/Y\nJ4+n72X1wr5Iab0QFvbVR0oFfsrranGDuFf5jLTZQF+iyo6ZpGOyeMz0H2WdxbjMcKu0TFjGLPqn\nZ7DVOfkteAOrmEbBDrW0jJ+ymLHhvc++Wv1+54eSWbyj/115nQMWclrOoHy34zy5ceThNhlkltBk\nMMgjZZHZj2nsmPgfyzHNuS6J2Y3LBY9dSuKb6e6JvYHAd4iPHibX81QRw0gc3VnGLlq243HTwMEq\nvNTZmlklTJkzaUjD2GvvL18XjLw6TLIvWZg2TBg8Y+QNWVmNqam/uHNN5EQR1c4vPoIZxn5srC+P\nn9Z5zJR2LN11zGM7ZvrB8J/UY+k/ZK3r73Uxd9LyXH05P6ezP1VwT/QliejmtSdOdUTfR4ud/vhj\nJykrq/fRm7HKGkTr9FlvvVzeNGbIvVctWLrozskzZtxefVu/2TdcvaJsbcs0eaZzwcRlD3jc9SnJ\n148ZN/7OqsqKEc6EOofznjtGz6Q+vrrruNqMnfhPo4/nsTelUmgBk7ymszoWo+pyMdg/YzH83Xn8\n6yfywJk9sKv5MR1jFlKgY7CfmGEs/TIupmP+FntTl59ys16d0Gt8aImND1dF7uanB/RYdnYslmZR\n5G6+I1cvy34sZtlx9hO0XG73mLIgWgO+Yyq0XPyd5EfY6l5pFvRKY/zJNJ/zNDHrd4Z0Ej/5kGRV\nlQ6bhHOZO5g3dYdNf9j7hvKURUyz8ifxRrPhZ0lO12h+9OGZyj0dCZV7eu172llJ/eK1mbkrcjfn\nYu9Tvui2xINzSH96D9TITmHMG88+e/mdUIXrmh5/vOl8x0/shvr/8lzk//OsFoudZzxYSPVVpDsP\nZ+oD1MOmpOeSg971faLHbxWu6/Nwf1PxgMyM/lm5Tt0s2UwO48D0XJfqMJLDk8Ry8zMKK4/sKe7A\nbqWxCfKozY++uFncfVgX6ZNjnHZCr1PqMDWkxV7OuWZrInzqYvjUxfQvtuykgcZ5gkW0DL7JPdd6\np32htkhf5FjkXOSa656ftih9UcaizEVZC7PvzJmbN7dgk7rJ2O1j2eJe1ibnJteTaZvSN2VsytyU\ntSl7U86m3E15m/pt6r8pf9OATQN/XVBMQxCTbtRN6cZ00yTPjX3neWrSzLd2vymrZqgZ0VdJKdDr\nOR2TsspKhvDhRSkFnNwtkB+9pWX2r99NF68s6/xK5O/4vjUs8lD6u7+e3XLL1B0z/zuyr9/hsjWC\n8OeyDf2Eoaf8OxT/0bnT/tLWmDgoK31QYmPbu9Pm8rPIMgWpMaEwPaswoVEQhMyf4d0ou9Rf+Rg+\n7W99Npl9QM5s/NUo/n4n7El0kGW/KT5avsyrUfb4q1E/+VaU4yffimKcU5dJdJm3pYQfvS6lfLxv\n377oO2PiacwuNPscosQkEkhpJBPPy4Ikyfoe/U/YmDtmGmLnB7PYWpNLx+csNm/9o1Pn0w2iR+TH\nqgwVx4iTxXlCjWjSmCaksTShkBUKBv5GCB9ulu048YxyNvIDZm3s0jjlG5wVnOHVNcllVQUmGROs\nb8uut1OM5/vqgsZU7+REdbKprx43FrEBIn+SHVv0Hq/tpYcBx2t76eHB23VLWrJ4a2wep4+QhYF+\nbCJnhNA9k5OUZs3u11QzOXtEUXlCppber0msuSlzuFKeYbcUFxhm3aOn9LVZS/obqu/VidJWovQa\nUHq1zyGIEj/tUBzJhP9/KZ3Pnyh5mVPIZtk0ILlKmMQmCZvYJmEL2yLYieYS0VwimkuguStLEkJ7\nnvmK05zGcgLbT2PvwcoPNPa+12fme9WcV2WRL2bZEyXsnh56Xjrojtfp0s3y4k8zLo3vc3ERsMpc\nCPrIXAwKZBN19Ngs3vNvHl7z4otrlB8iZ7dtu6hmD0T3jj+vStEDUKJeTHGsZrGJb3PPxnL/3ytK\nfUJiBp05Jd2QzjKldAOvaGyS4XnU87D8rWDeti2C0WoV+WNnyM/jp3Uf8Xn5Id3HFMH0H2mdnR/T\nfeulx3TrZzpi53THdMJF25zFJqbMl51yY1EVEZ0HuXTGzneTRegjFArlwtXCGGmqNFdaI/1eapMs\nAlFeE7uX2GN5vYv4kCamKWmGNDXNmGZJs6bZaIjFfsausd3IbrHNYr9gv2Wvsr7RVUvRU789WWR3\nhWORfUKp98VVq9ZG/MrsyK1iaueJBTt31kdnHQ1SOfHNxub57CqT37ac7551jL2WcKZjT3G3WF1m\n1hFcubThPZS6TKJLJyJtd9w48Xb9HvPmR9duUn4YWl427N7GBoaZSLs4W/kkatO51otPrlJPjE83\nKp+8Dy9G5NaaPnxHYr7eIpkuA4vdpL8S4lz84epUVgyq0WS2WG12TXc4XW6PNyExKTkltU/ftPSM\nzKzsHBrt988fMLBgUGHR4OKSIeR1DyuvGF454ooq35Ujrxo1eszPxl497prx1153/YQbJt5406TJ\nN0+ZOu2W6bfOuG3m7cx/R/Ws2TVz5s6bf+eChYtqFy+pu+vue+5dWt/QuKxpefOKlT+/7xf3P7Dq\nwdUPrXn4kV8+unbdY48/sf7Jp55+5tlfbfj1xk2bn3v+Ny/89sXfvdTS+vs/BIJbtr687ZXtr772\n+hs7dra9+ce3dv1p95/f3rP3ndBfwu/ue+/9D/YfOMgOHT5y9K8ffvTx3z759NjfP/ucyeIV1NIK\nlk6KKJktZ12CKjiENGGwMFK4UbhdWCosFx4TQ+IxqUX6U3puelF6RfofMjIzDZl9Mwdkjs2clfPu\nBZG8RkY5bMbwoq9QJFwpTBRmUNomSvuO+BHSuihtOdKKmRrSzqS0Ao3Sj5Mf9T1dH9G1uYuvebiq\na06Xm7Og42zHJ4x9/uTn938++bN5/M7fF//9Nsb+9p2yC8zjzzDO8Ijg2PkY585HvwvdHBXSBTzx\nEUbGbvyB/Ya6xP3sj+xJ9g/2APbQ+TVrYS9Qpg+xj9l97HH2T/L5H2FPsQfZ2+Rrn2YbWSv7N5X2\nPXueBciHD7Eg87M72FpWzfaxWewv7F22n73H3mcfsK/ZbHaIHWAH2RZWw75j69hRdpgdYXNYOztF\n/vQ8NpfNZwvYnWwh28wWscWsli1hdexudhe7h93LvmFLWQOrZ42siS1jb7DnWDNxZwVbyU6y/2Y7\nWSeLxFrSxX5gf2XnqM3H2Qn2IXnrf2OfsE/ZZ+wj9ne2jb0Si/cae53tob/bSQ3spb8/Z39mq2K/\n/Z7v34PPS+xZwmfYt/j2Zox6AimP6OcxvqcRPk+w9fL71ErecdZEL6lUKJWCbK9hO9uoJLBW9Vm2\n2DCCrRRL2F6yXVvpekFmbAT9/jHF3ygeZ9X09xNxG2MUfxVdX9D1JF0b6Kqmi+fzKF0v0bWGrpUU\n9zRdG3ke8UuuYo8bGaWvZ7rSxMLKk6zO0J/+2llYfpaFDSX0XWZhcTq/up5Uquj+3XT/HxSng/6O\nZ3Xy4ehf5VG652ar5ONd50m3bON5qt+wUUojG0H3OujvdN4WXmf6G0L5rOsUtatV/gdrpLQ75dls\nMf1dLJ9ii8WDrJCHFSfbKZaz3WJ51yfy89Gwuo/t5PflLxF/J48njaPvA9giKYuV0W9B+U2i1xo2\nmf4O52G5hE1REgQmbhNk/peXj3bzi9rN2xxvE68/r9Nlr9nR+vW+qE5rqX4huv5O15l43S69eL16\nX9T2crreJv78gfOIwtPlN4QS8M/MdpJzkhK78mRGfitjH/J6U/uNVM/ZhlZ2rDc/Kd1EuoJyFpuj\nVLMkg51tkF/r+oLoUijtZXV0zTT0Ydepn1A7vmRjif+PctlD2iQ2gtKmITyt6zz9vpGu3SQfp+g+\ni9OK08f4KF2F1CaSYb6Fn5xDZdJFMsmvbTwP6QwzgO7Ee2FyZDXlMUMqYRvp2k1tK+QXbz/keE00\nvflNohEvh/Mi/tcO+Xue5C9Cfw10Ded1iF+QtdjFZYPy5NdrdB2lK0R0e5b+fkt/s+jvafo7HnGa\nu/4ljmEiZJbkhssnlxEuHyT3ZvCM6o42fAjZ3hmls5AklbLVdM2gy6/uZqtjl5/3Fy6LvL9050uy\nBbmO/+W/x/ovpyvnaYy3VGdyDRl5fXRR3lXx+sctbNeAbi1yscG1sujTFonF3o/nI0pmZhZmJR/E\nzjSmMwdzMhfja3i8LIElsiSyWykslcYafVkaWaEMlsmyWDZ/k4/x5/z9WT4bwAayAjaIFbIiNphG\nxSVsCDlHQ1kZ2Y9ysn7DWSUbwa7AzkdXspHsKjaKjWZjyH0ay65m49g1bDy7ll3HrmcT2A1sIruR\n3cQmscnsZjaFTWXT2C1sOruVzWC3sZnsdtiEarIHs0nzzyE9P480/Z2k6xeSnq8lTc/1/F2k6bme\nX0o6voG0/DLS88tJx3MN/3OyPtw2PUD6+UGyFQ+RbXqYLNEviWpryZI8RraJtC9ZrqdIbz9DGvtX\nbANZr41sE9mS58g6/Ya9QBr7RfY70uctZLV+T/YuQNZqC9vKXoZN4FaAW4Q32A6yJm2k6f/I3mK7\n2J/YbrILb5Ol2MveIQv3F7Jz75J1i1q1/bBo3I4dJZvzIVmYj2PW5hjZms/I9nzB/gt26Ev2FdnV\nr8mOtZPFOkU261uygqdhU/9NFvQMO0t2i1utC2SruTXrEhg28+LnjijkSfAZKZNgFizkU9hMdbPv\nmlNfO2fWQnvtrCVzF1XfMWvhXbOWzKqWR9+9ZJFyx9AhpeUchxYBBwOLgSXAocAy4DBgOUQuM/Zv\nCtG0S3hNvF66T9omnZUz5IXy0/J2+V3574qkjFZ+blAMyw1fqOPV19UO4yzjfuO3Jq9poqnOFDSn\nmT+zTLFstVywVljnWh+3fmVz20bYGuw2e6H9DzROGq3dr53U79b/6ejvqHV87vyj6yHXSfcE9xr3\ny+4vPJIn0ePz/NWb6V3g3ZGQldCY8FliSuJViSsSf0jyJt2b9EqynDwx+bnkj1JWpexJZam/7rOz\n76q0e9O+Tr8lfUn6vzNKM0Zm/FfGdxkdmaZMb2ZWZlHmiMxxmTdnVmcuzlyeuSbz6czfZm7L3JX5\nXubHmV9l/juLZdmykrPysoZkXZl1XdYtWXOynsjanz0k+9Gckpwbc1bmunN35l2Ttzbv9X6uflP6\nvd3/tvyc/On5v8n/ZkDDgMMDRw18dODLBRMKNg+yD5o4qLVwVdGVRX8crAzOGDxh8P7iscUNxZ+V\njCmppX9NJQ+VPFXy1ZCGIY8O+c2Qg0O6SlNLy0trSteVbiz9fen+obcMfXzo+2VXlbWUnRzGhqUO\nG1eulaeW9y8fWn5V+YTyW8vnld9b/ovydeUby39f/kb53vJD5d9VpFY0Vmyu+HK4cfiM4b8cvmf4\nmcrMytsqf1e5vXJ35QeVn1RGRtxxxfArxl4x6Yqnr/jHFZ1Vt1c9UvWpr8J3jW+6b4GvwbfK94Tv\nOV/Q1+b7i++o77+u9F05+cr5I0ePbB35n6tuu2rbVV2jJo36ZHT+6Kq4/1/wABPUJxIZM3uWku7J\n7jpMmNP1OiGfN9VJw3DsD8wnPaGTruHhAurlOmkcHi4EFpOm0Unz8PAQxCxFuKxrFGF514OEFV0B\nwuFdzxJWdtkIRyDO1cAbgBOpZJ20Dw9P7QoTTkN4etenhH7UsBp3alDiUoTrkaoB2AhcBmwCrkac\ntcAAcggCtyCHnci5DfUJ4X4YeAC/HgQeAn6JHL4BtiP+SaQ9hTtn0eoLCHcSZjOd8slmDoqTzfoA\nsymfbJaLcD6wGDgEOBSpyrpuJxyGcHlXE2FF11rC4bhTiV/HIP7PgGOBVxPXstlEhG8C3gycglRT\nif7ZbBrRP5soeTehHzWpRpwa4BzEXIRwLXAxcAmwDlgPbAA2ApcBm4DLkUMzcAVwJbAFdWtFOIBy\ng8AtSLU98gPhq10S4U7UrQ1t3EuSlU06mscMAw8g/kHgIeBh5HkEeBR4HNiOHE4it7OIeQ73LyDc\nAewERghz+Go7blERzgcWA4cCy7t2E1ZQK3KI/msJq3G/BtiCX1sR3gLcjjivAtuAe4nyOah/Duqf\ng/rnsOPAdsQ5i/A54AUgr2Eu6paLVYC5kJBcqgO/70e4BeFWYAB3gsDtwFfpyqU68F/34k4IGAYe\nB7bjV06fPJSVR3rgU8JyYAXu8FbnUe/jd1qArcAAMAjcTtKeR60OE7Yh/l7q+3nUp/ivYSBvaX+U\n0p85Iq8T9iFO9acSRxFyavcn+ec4CnfGIv74rvmEE7t4/EkIT8H96YjjB84FzgPOB94JXABcCKxF\nqsXAJcA6YD1ybgA2ApcBm4DLEacZuAK4EtiCVrQCA8g/COR06E+U5/d34s7eyIOEIYTDwONo40mE\nOcfzQZN8cDmfKPA6YQXClaQt88HrfFA+H5TPB6/zwet8lJhPlOfYhvh7iQv54HU+eJ1PlH+WdDcv\nZQA00gDyKHm4BdgK3E7lDqB8dhPupXABaTCOXB4KwP0C1KEAdSgA9wvA/QKkLUDaAkq7ljCE+5zv\ngyif/oTZCOfSr4Oof3Hkum4QG0a1HYT+NYjay3EUYo6lOg8ivnOcApxO3B+EmgyiPshzqAHOQQ5z\ncX8ecD7wTuAC4EJgLfJZDFwCrAPWAxuAjcBlwCbgcmAzcAVwJbCF9PMgUG8QqDEI1BhEeoDXajtR\nYxBoMogkgde8Da3bi/ghxIzS5wDiHwQeAh5Gi44AjwLbkfYk8rmAOJ2EhUTbT6EpC+lfMcUpZGWR\nr/j+klTDQurFaYQVJGmFrDJympDv7FwIq1EIe1FItOU4HXH8yKcG+cxBDnMRfx5wPvBO4ALgQmAt\nclgMXAKsA9YDG4CNwGXAJuByYDNwBXAlsAV5tgIDqE8QuAW12h65nfDVTt7GnahzG9q1F/FDiBkG\nHkD8g8BDwMNo0RHgUWA70vKeWMz9FEIH6epi2OtiSGwxNGEx+S1NhFwTFkMCi9EXilHPYnC/GNwv\nRn8sJr7zcBvi70X+IdwJA7kmLIGHUEKacDch748lVGIT4TCEK4CViDOq6wXCsdSKEtKH/M4NlE8J\ntGIJaUUengycApyOtH7kNgfhuchhHnA+8E7gAuBCYC1yWwxcAqwDLkWe9Qg3ABuBy4BNwOWI0wxc\nAVwJbAG2og4B1CcI3E5WpwQWqoTvuU3YhnbtjfDcQogTBh7Gr0eAR4EnkGc74p/EnfN0Zwg4OATy\nMwQlDgEvhoAXQ4gLTeSV6sTfUuLy64R9qG+WEs35nVySh1LSSPMJy4k7pfBXS4n+PNUoyqeU6P8C\n4UTgFOB0xPQjZjVymIuY84DzgXcCFwAXAmuRdjFwCbAOWA9sADYClwGbgMuBzcAVwJXAFtSB6+RS\nojCvSRC4HW15FfXfiThtCO9FzBDihIHtuH8ScS6gFZ2EQ7mvSsjHAkOx/mMo1ugPJVpyHAr0I041\nwjXAAO4EgVtwJ4RwGHgAdw4CDwGPA88CzwEvALkXXUb8GkXoIH+7jPiVRphNVqOM+PUgIfcWytio\nSIBwTOQFwrHA8cTZMjYR4UmRw4STEWdKJEw4DeHpER7Hj9yqkdtc3J8HnA+8E7gAuBC4CHnWAhcD\nlwDrgPXABmAjcBmwCbgcpTcDVwBXAlvQxlaifxlxkNcnCNwOCnDLXsZ2orZ7yVsuI97xX8PAE6jV\nSfx6HuELaEsHSuxEOELhYfAuhpFN5jiC6DYMfsUw+BLD4EsMg88wDD7DMPYlxaFxD+VQTjrqB8I+\nXVO5J07SUg4PuZz6xe2EY4FcL5VT7+DhKeR7l1Pv4J67H/FrEH8ufp0HnA+8E7gAuBBYC1wMXAKs\nA9YDG4CNwGXAJuBylNgMXAFcCWzpuo6Q07Yc+qcc+qccvno5KFwOb62c+giv7V6ynuXQP+XQP+Xw\n28vht5fDby+nnhIm7cw1SQVJpoewD1GpgiizlnAUpaogmvA7nCYVRBMenkS9tYIo8zohH89WEGV4\n/LmIPw84H3gncAFwIbAWOSwGLgHWAeuBDcBG4DJgE3A5ymoGrgCuBLag3FbUIYBwELgddzg1KjAu\nroC8VRA1+K9hIB/zDqe2P0vIJWo49cT5hMVUz+Hoj8OhJ4dDuoZTz+K/1uDXWtxfDFwCrAPy+gyH\nxh4OaRwOaRxOPOKpthN/h1MvCBDuJXoOh5QOh5QOJ+7wOAeBh4AXUGInYSXV00boIJ+hkvUhW18J\n7VEJL7QSXmglaY+vCMfi1/FEn0rSGzw8hThbCf1QCW+zEt5mJWkJHn8ecD7wTuAC4EJgLXJYDFwC\nrAPWAxuAjcBlwCbgcpTYDFwBXAlsIb1XSfziLQqgPkHgFtRnO5DbuErwqxL6oRL6oRK+ZSV8y0r4\nlpXwHivhPY6A9zgCFnME6D8CMjACuY2ApRjLbiG8mmKuJXRQHa4maX+d8GbcnwacDmzB/VaEt7Mr\nCbksXQ1Zuppy8xBy+bkOHv518Geugw9zHVF7N+F0hOfi13nA+cA7gQuAC4G1iLkYuARYB6wHNgAb\ngcuATcDlKKUZuAK4ErgTv54kvAGjpBuYA9gH2AJsBXKregNG9zdQi15gEzFbNhGjqomIP5Eotpuw\nBeFWIE81kVK9Tsj9kElET44O0vyT4G1OYmNItidhVmcSUYaH+czYJDYOd64BTgDeAJyIODchPAk4\nBfGnAqcBbyFNNQne4CS8/zCJLUKqWuBi4BJgHXAp8qlHuAHYCFwGbAIuRz7NwBXAlUDO/Ulo7yTo\n1UnE/cmEOxHeG+E1+Qrhk8D/oKwO5BkhnEo0CRM6SG6nEk3WEnLvcSokairynArJnEq5naYWck5N\nAw2nIf40xJ+G+NMQfxokcBrRvD+7BfNmtxBtdxNOBC7CnVqEFwOXAOuA9cAGYCNwGbAJ2IG0fAZp\nOvrRdNIzHPsQr6ejJtNRk+moyXTUZDrV/DBpRu75+yEzfnDfj7lBP+ag/JiD8sPC+jE36Iev5cd4\n2Y/RgR9zg37MDfoxN+jH3KAfbfRDivwY5fkxN+jHWM8PafGj5/ohLX7MDfoxN+jH3KAfc4N+zHH5\nYbX9GEH4QSs/xnp+jPX8GOv5MdbzY6znx1jPj7GeH2M9P8Z6fsiMHzLjh8z4ITN+yIwfMuPH3KAf\nc4N+WGc/5gb9mBv0Y27Qj7lBP+YG/Zgb9GNu0A8b7YeN9sNG+zFq8GPU4MeowQ8/04+5QT/mBv2Y\nc/PD5/Rjzs0Pnvox8+YHZ6shY9WwdNXgQjXm36ph3arB5WpwuRqWqxqWqxocr8bophrzb9UYn1bD\nclXDclWjPtWYf6tGHWowfqnBCLQGUlGDEWgNRqA1GIHWYARagxFoDUqvAfVqMAKtwQi0BqOeGvSU\nGoxAazACrcEItAYj0BqMQOegXXPgE86BTzgH7ZqDtsxBW+agznNQ5znwCWthERYDlwDrgEtBq6XQ\nnEuhCZdCBy5FDZdCBy6F5lwKzVkPzVmPXlCP+PXQnPVIVY9U9UhVD81ZD83ZgFQNSNWAVA1I1YBU\nDUjVgFQNSNWAVI1I1YhUjUjViFSNSNWIVI1I1YhUjUi1DKmWIdUypFqGVMuQahlSLUOqZUi1DKma\nkKoJqZqQqgmpmpCqCamakKoJqZqQajVSrUac1YizGpZ9NSi2GnPIa0HhtYizFnHWUhx+/1Wi51rM\nvLWApy0sh0pvgT5pYXnA/rifj/AAhAsQHoRwIbAYWAIcAiwFliHncmAFUg3H/UpqRQue47TAWrXg\nOU4LTq5qwXOcFtIwPP404HSgH/erEa5BeCmwHtgAbAQuAzYBVwPXsqcIAwgHgVuAO5FbG+oTwp0w\n8ADwIPAQ8EvgN8B2xD+JtKdw5yzCF4BcD7RSH3ydMAeYizt5QE7PVoyLW0HPVtCzFfRsBT1bocNb\nQc9W0LMV9GzFc7FWoud1hFyHt1Lv5lhJnl4r6NkKeraCnq2gZyvo2Qp6toKeraBnK2kDXrdqhGuA\nSxGzHtgAbAQuAzYBVwPXAgPIIQjcghx2AttQnxDuh4EHcP8g8BDwS+TwDbAd8U/i/incOQu8gDuc\nngHYvgB6RwBaLgDbFwBtA5DPAOgWgO0LQOsGYPsCsH0B2L4A6BaAHAZg+wKwfQHYvgBsXwC2LwDb\nF4DtC8D2BWD7ArB9Adi+AGxfALYvAEoGQMkAbF8Ati8A2xeA7QvA9gVg+wKwfQHYvgBsXwC2LwDb\nF4DtC8D2BWD7ArB9Adi+AHpxALYvANsXAP0DsH0B2L4AbF8Ati8A2xeA7QvA9gXAkQA4EgBHArB9\nAdi+AGxfALYmANsXgO0LQM4DsDsBcCcA2xeI8YjbviA4FQSnguBUEJwKglNBcCoITgXBqSA4FQSn\nguBUEJwKglNBcCoITgXBqSA4FQSnguBUEJwKglNBcCoITgXBqSA4FQSnguBUEJwKglNBcCoITgXB\nqSA4FQSnguBUEJwKglNBcCoITgXBqSA4FQSnguBUEJwKglNBcCoITgXBqSA4FQSnguBUEJwKglNB\ncCoITgXBqSA4FQSnguBUEJwKglNBcCoITgXBqSA4FQSnguBUEJwKglNBcCoITm2B57AFnsMWcGoL\nPIct8By2wHPYAs9hCzyHLfActqBFW+A5bIHnsAWewxZ4DlvgOWyB57AFnsMWeA5b4DlsZ9nU6u2k\nFXfzmVyiz3bSijzcH5iPOwMQLgAOAhYCi/FrCcJDEC5FuIzxFZzlwArgcOL7drzfuh3+yXbIyXYa\nAfE6TCTtvZ3GPjw8FfenAacD/ahhNcI1wKWIWY9UDcBG4DJgE3A1arI2QhaaBZBDELgFOewEtqE+\nIdwPAw/g/kHgIeCXqO03CLcj/kmETyH/swhfAHYS7sQIYidGEDsxgtgJHu2Eb7kT/uROjCB2YgTR\nhpmNNsxstGFmow0zG22Y2WjDzEYbZjbaMLPRhpmNNsxstGFmow0zG22Y2WjDzEYbZjbaMLPRhpmN\nNsxstGFmow0zG22Y2WjDzEYbZjbaMLPRhpmNNsxstGFmow0zG22Y2WjDzEYbZjbaMLPRhpmNNsxs\ntGFmow0zG22Y2WjDzEYb/J82SGMbZjbaMLPRhpmNNsxstGFmow0zG22Y2WjDzMZezF3vhdXeC5rs\nJfnk4f7AfOAAYAGeHg1CuBBYjPglCA9BuBRh/mRtLyuPPEhYQf19L8knv1+JO9xq7yX5/JTwBtyf\nCJwEnErt3UvyWUk4HXn6UcNqhGuASxGzHtgAbAQuAzYBVwPXIm0AGARuQQ47gW2oTwj3w8ADuH8Q\neAj4JWr7DXJrR/yTuH8Kd84CL+AOp2cItiAEWxCChgnBFoRgC0KwBSHYghBsQQi2IARbEIItCMEW\nhGALQrAFIdiCEGxBCLYgBFsQQh8PwRaEYAtCsAUh2IIQbEEItiAEWxCCLQjBFoRgC0KwBSHYghBs\nQQi2IARbEIItCMEWhGALQrAFIdiCEGxBCLYgBFsQgi0IwRaEYAtC0Jwh2IIQbEEItiAEWxCCLQjB\nFoRgC0KwBSHYghBsQQi2IARbEIItCMEWhGALQrAFIdiCEGxBCLYgBFsQgi0IwRaEYAtCsAUh2IIw\nOBUGp8LgVBicCoNTYXAqDE6FwakwOBUGp8LgVBicCoNTYXAqDE6FwakwOBUGp8LgVBicCoNTYXAq\nDE6FwakwOBUGp8LgVBicCoNTYXAqDE6FwakwOBUGp8LgVBicCoNTYXAqDE6FwakwOBUGp8LgVBic\nCoNTYXAqDE6FwakwOBUGp8LgVBicCoNTYXAqDE6FwakwOBUGp8LgVBicCoNTYXAqDE6FwakwOBUG\np8LgVBicCoNTYXAqDE4dgNU+AKt9AJw6AKt9AFb7AKz2AVjtA7DaB2ARDqBFB2C1D8BqH4DVPgA9\neQBW+wCs9gFY7QOw2gdgtQ+ixIMo8SBKPIgSD6LEgyjxIEo8iBIPosSDKPEgSjyIEg+ixIMo8SBK\nPIgSD6LEgyjxIEo8hBIPocRDKPEQSjyEEg+hxEMo8RBKPIQSD6HEQyjxEEo8hBIPocRDKPEQSjyE\nEg+hxEMo8TDGv4cxp3EYPsNhjDcPY8x4GGPGwxghHsYI8TAs9RGkOoJUR5DqCFIdQaojSHUEqY4g\n1RGkOopUR5HqKFIdRaqjSHUUqY4i1VGkOopUx2GbjuO56nGMH49j3H0cI8Tj6I/HYR2O47nqcYyR\nj0PbH4e2P44x73Fo+OPQ8Mcxzj2Oce5xjHOPQyaPY/x1HHJ4HM9Vj+O56pfwN77ETMKXoPaXmPn/\nEhT+EjP/32C24RvE+QZxvqE4LxDyGYlvsEaoHX5IO/yQdvgh7fBD2mFz22FJ2+GHtMMPaYcf0g4/\npB1+SDv8kHbYwXbYwXb4Ie3wQ9rhh7TDD2mHH9IOP6Qdfkg7/JB2+CHt8EPa4Ye0ww9phx/SDj+k\nHX5IO/yQdvgh7fBD2uGHtMMPaYcf0g4/pB1+SDusajv8kHZQph1+SDv8kHb4Ie2wre2wre2wre2w\nm+2wmydB55Pw607CrzsJCT8Jv+4k/LqT8OtOwq87BZqfwnOWU3jOcgr0PwX6nwKPTiH+Kcj/WcQ/\nCzk8i5VjZ+E5n8XKsbOQxrMo8SxKPAvJPAvJPIs+dRbPl89i5dhZrBw7C4k9C4k9i5Vj5yCx5yCx\n5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx5yCx\n5yCxF9DSC2jpBZR4ATOxF9DGC2jjBbTxAtp4AW28AApfwEzsBczEXsBM7AW08QLaeAHlXsBM7AWU\n24myOlFWJ8rqRFmdKKsTZXWirE6U1YmyOlFWJ8rqRFmdKKsTZXWirE6U1YmyOlFWdIdsK7uW74/G\nZCZS2T4KM9mjzMH7nPS7uiDShzHzm5HVkdXm8d0vdsY+lFqQ7cJapjBZ+Zn8HmORkdG/4o3sUXG2\nURQtBkkyyqIok4HcorP0cfG0I+feVUflpV8QDe6IW3hWXSAcZ71eHaUYrM/L4hp5JmNZdyhk7SbP\nWnL7jbcvrIvn0EWfoV1dkaHFwyYWFTHKDB83JdZNVoVJkiQbDSajKMuKkb5Ihu4P1cloVMwGVVUN\nBPSTYqQg/VM4KopMSRUlGpdHVyQTD8uKbFBU+kGRFKOBx+cZ9Mq2dyE8Pb9MJpOiGE0qFUlpFCpD\nkWXVRHnQV/pv4FmrZpNC0TixFEU0yDLFpGKt3fmq+EhKz0fiFZFUlGE0yrJMBal0A00w8DbhQ/kR\nB20GogfRwWA2SaCH/GN6WFSqo0p5UWlEN6NKNCG6mPhOQjF60H+qmSgqojlODwMaJRkoslFFE9F4\nDiJ9LqEH/TWbzUQPsxH0oNoaeUWNZoMic3pQ1TlfjBazYgY9iGA99LBFqSChwvQRe8hhEFUFNOXN\nBz2oICOnh5H+UQt608OiqVw+FJNqNhM9DCaKLqvdH9DSYOXN4ZSI0sOkmngLCVUe3cQlh/7LkB/J\nwtMp9I2zk/81gR4mYzRHQ7zePYUgPV0Wi4VkwGLiHx6R01MxWoiVvCSKyLM2WS0GikbFcnqovLKc\nKFo3PSgx1bYXTw0SVZVoirJNvMZUkEmlu0ZiGc8hGo0oy5hVVxmJhWImupOMGcycHsbuD2hpsFGI\n2mMycXqYqTwuIyYjZUrlUG8ycJExypAfycLTUV8xgh50FwyP1tKIiEZjDx+jfYPLg9FotZLUm60m\nM+cf1dXEK2qykpjQVzO1x8ozstkMVk4PKlYVSTaj9NCN8XxBTtOP6WGChHMRVKgg4q0RTKUm9kgu\nYzaHEfSwGK0WoodqIUm/iB5ES9VGBVB9SIIoEwtV1kx1NZssZtVM9Ij2pm562OL0AEvpLme4EU38\nCXrE0httNpJ6i81MRVo4wc3oIzajSrWjXCgCkdVst6k2LrgW4janB98KTFYdYBLP14xPL/FTSbzM\nqmxGORYL0YMKMhslLuYk6JCcqEyTTbC7ovSwmmxWTg8r0UMxdX9AS9VOLKP6kARRJlYKWkhIzCab\nxQRqq7w3kCBy+TFKNqQzUg/khCLlZ+VxzZYYPYzgXjcfo32DLrpvt9tJBuwWK+cf1dXCK2qxm1Sq\nHc/FZKfLommqndODijWJJsgm0cNliudLxPwRPYiBioVnaeIiaKCCLCbcJcaS5HT3ZMY0t4lxfWYz\n2y0kY0Yb1yzm7g9oadTMnB7Uc4n6RpvFarKauXRoBCRlNt5G+q9E6aHxihm4vbJxMVfMNjOPbY3q\nBdNl6MGl2Eg00zSNZECz2jj/qLb8vCTVopmMVDvKxWTi9bDqmpGiUcWIhJKZWyUuJG4ieTRfIiaR\npJf4GanSFiOnKZVNvc1goIKslDZGDyXGKaIsY7rHHKOHZo3Sw/Ajeph0KsBqJtrSTyRHNrONBMRq\ncVhM1hg9eG0MvD+ZJF5pM9keismliOjBOWa1WXsIYOqR66iuAD3Muk5awKbbQA9qg5WrHKtOOXN6\nENd16ko2h2bUQQ9qHacHxSR6eCwkgVxaeYWJJL3oYZKpsiYFtTGDHlSQlSpGqpsk3HARPRwJnB6q\n0W7RbdSBTHaih8HS/YFsmRwkwlQfnpfVpFFlbVb6ZnHazFaSMjsvh5pkMFPfNCsOLq4q1zMab5TB\nYidiWtBEND5KZtJY+MoLoU5A9bJYHA4H9QndZufyTHXlQkL0MZtU+mqn+A6KbHM6TA7eke2UEzdm\nJHyKYkqIVZc4i0+vPm/myhEyRh/eJVWih81s4Het3JzHJJd6E2PORAsjRW3ULA4bmS6Txl2U3vQg\n2TI7iRxUH7ud6GHWqbJ26jR2q4tEhehBHYSrFGp5jB5RdWix6LxRBovGiUlNjNLDxH8GPbo/oAf9\ndTqd1Ccc/OhUje6QJiF62Im+Kn3VqBc4iS92l8tE0ahi1Ac5PSgmdZpEKxEd9LDjcwk9bCaDnUfg\n2kdVifB2qhjdtZnInPemhyuZ08No1K1OO9HDrHN6WLs/kC2ziwhO9dE4PSy6ne9IQxWzue2gh865\nDHpQf7IoDl4sKVjen0gyDFbeAax2zR5rfJweVnzlhZBSICVttbpcLuoTTk3n8mw1cxYQfZykiemr\nTkW6SLVobpeZolHFOD2s3GLwTpNMvIGu5Azk9OjpjhZuLCwGzcJJxrukkQivWUjUY/SwdksuOe0p\nVk4Ps8Pm0rh5dnAvztb9AS0tbiqASKBrJI0Wh6ZbdbvNqtmJHnYylA5qj81is6roTwY31cxm5HoX\n4q3aHJTapulalMKWKJkpJ3yN6gq6KOR2u6lPuHUq0sE7pWbl9HBZLUb66qD4bupKusdtdnN6OIiE\n3LhTTKJHit1mh27gDCSSGHrRA8ZC1XjZNoeD6EGE1224a6cKGmy96OFJtTEyi2anza0TPSxO7ov3\npgfR0uIhchB/dJ2k0erUHaTTiFF2D9WB6OGkVnMaxOlh5yrYQhqJWsHp4eTE1HkS/gEFINf4GtUV\nFJHuezwe6hNuBxXpJOGw61auQ902i9Fpo1woAkV3eL0WikYVIyrKoAfvNKnd9CBicnr0dEcrMZHo\nEdXTTifRgwjP6cG3XrKSe2OLxiNJY8zbl9PDZHbaPQ4yXVF62Ls/oIfVSwU47ERbTg8X6GG36ZpX\ns2nU6zg9SFJsRq5fbAYv1cxOittuJ0JY7ardySVYd+j/Az3oopCXmmpxekAPuqM5uE1xeMgy0Vcn\n0dNLqsWR6LV4QQ/SYrKdW1BOj74a9Uh7jB4kIhfRg/KyqsQdqhlXUSYivMOOuxqX8J6ezFhCmp3T\nw+LSvE6ih9XFXVit+wPZsiZQAVQfp0NVNRvxz+7UNbtDT9DtOtl0F+kSfoI0JQM9ePclA6fZXUQP\nchZcXIIdTkeUwqAA+jm+8kKsVrqoOQkJCaQjvE4q0kV3dIed61CP3Wqiry6Kn0CqxZmUaKVoquoi\nKsqkyykmeXFpOvVIDGKImESSXjrQZqC8rEYnynNxx40I79SoA+lk3DWjGuvJ5E8wlphu5/tjWtxa\ngou7b27u9vamB8mWLVHXHU5qn5NMlc3jdNldJJJOPZHqQPRw99CDRMuQyM/WplGIprk1um3U3JRa\nc7qcvejB6/0jemiJiYmkIxJcVKSb04O6CNEjwW4z01c3NTeR6OFKTrRSNKoYpZLJpFNM8lLSu+lB\nxCSSqJfQw2Z0oSyuosxEeBenBwk6SbgxRg8zp0dSpsbpYfXoiW4y5TYPp4fe/TEaSbZsSURwl060\nJXrYvS635nbomtOR5NAcpIU8pEtIUjSTrhM9VE4lndxJHfTQjbqHS7DL7YxSGLXi9dbxlRdis9FF\noaSkJNIRiW4q0kN3HC5uxlxJms1MXz3EgiRSte6UZBtFo4pxeujci+NKJNNBPVLn+RIxOT16dKCd\nmOggeqA4j4foQYR36fyu3cElPNaTSR8xlpylgx5eRxLo4eVDEUf3B7JlT6YCiD9ut9Ho4PTQ3U5q\noTPZqTvJMfVSeyhn3eSg+mhqEomDw2Inenio9eQ8eSk10cMVpbCdgxp1imIfMh7EJ4eenJxMOiLJ\nTUV66Y7TrdlJXpJ1u5m+eqm5yaRa3KkptmRODy+RUHbE6ZFFdYEt5QJNItKLHprqIFVmIjHVdNLG\nRA8ivNth5HedVEFuvbrpkZKtM1Kj1gRHsodcG3sCHwb0pgfJlj2FurTHQZaOTLeW4PboHhcxypni\ncrhICyWQ0idJcZi5LdONyTwdKXSH7qXWEz0SnE6Xw+1xR3PUOPB69xTC05PCdaSkpJCOSPZ4qUy6\nQyzgNiWFfCf6mkBaIYXo4emTaqdoVDHiAnf+KCZ5tdlO0lDIl4SLSGLssQkatdxlN3m4nnUkcEeW\nCO/h9HCRVnKYTTHNRvqIsdRcB6eHLcGZ4jXG6eHs/oAeWqrL5fY6da+H6KEnerwOr8vp8LhSe+jh\npO5j5rZMN6ZQzZxWzeJ0UCs0p8mZQKmdHq/nEno48TVqS+iiUGpqKtEjhZODaGh3eXSyKZ5Uh2ah\nrwnEglTii7dvH3uqRno0gaioOLlXS/TQcl2kobgtNZJwEUl60UMnJrq0/2ecYmDrwOEBDHgxIaAo\nMOPzA1O4EFJ4MIDO7eNgAJ1BBz7ZD3TGEE8A15t4fpuvDPIcYAW7dn7YAaYPpU/81/lPlsuHHbQ3\nlwM2hgsAkh4PpAplbmRzdHJlYW0KZW5kb2JqCjIwIDAgb2JqCjM5OTE5CmVuZG9iagoxOSAwIG9i\nago2NTkzMgplbmRvYmoKMTUgMCBvYmoKPDwgL0xlbmd0aCAxOSAvRmlsdGVyIC9GbGF0ZURlY29k\nZSA+PgpzdHJlYW0KeJxjYKAhEARiYQYRBlEAAa8ATgplbmRzdHJlYW0KZW5kb2JqCjE4IDAgb2Jq\nCjw8IC9MZW5ndGggMjM5IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlID4+CnN0cmVhbQp4nF1QPW/DIBDd\n+RU3JkOETVbLUpQsHtpGdTJVGTAcFlINCOPB/7581K7Uk+B07947Hkev3a0zOgC9eyt6DKC0kR5n\nu3iBMOCoDakZSC3Cb5VvMXFHaBT36xxw6oyypGmAfsbmHPwKh4u0Ax4JANAPL9FrM8Lhee0L1C/O\nfeOEJkBF2hYkqjjujbt3PiHQLD51MvZ1WE9R9sd4rA6B5bouloSVODsu0HMzImmqGC00KkZL0Mh/\nfVZUg9rpDCO9pK+SXwk+Vxk+swJvZb2hrzR8G5PeSUvZPyEW76P/vLlsPFnWBvflOuuSKp0fOVN7\nYgplbmRzdHJlYW0KZW5kb2JqCjEzIDAgb2JqCjw8IC9XIDE3IDAgUiAvRm9udERlc2NyaXB0b3Ig\nMTIgMCBSCi9DSURTeXN0ZW1JbmZvIDw8IC9SZWdpc3RyeSAoQWRvYmUpIC9PcmRlcmluZyAoSWRl\nbnRpdHkpIC9TdXBwbGVtZW50IDAgPj4KL1R5cGUgL0ZvbnQgL0NJRFRvR0lETWFwIDE1IDAgUiAv\nQmFzZUZvbnQgL0JpdHN0cmVhbVZlcmFTYW5zLVJvbWFuCi9TdWJ0eXBlIC9DSURGb250VHlwZTIg\nPj4KZW5kb2JqCjE0IDAgb2JqCjw8IC9FbmNvZGluZyAvSWRlbnRpdHktSCAvVG9Vbmljb2RlIDE4\nIDAgUiAvRGVzY2VuZGFudEZvbnRzIFsgMTMgMCBSIF0KL1R5cGUgL0ZvbnQgL0Jhc2VGb250IC9C\naXRzdHJlYW1WZXJhU2Fucy1Sb21hbiAvU3VidHlwZSAvVHlwZTAgPj4KZW5kb2JqCjEyIDAgb2Jq\nCjw8IC9GbGFncyAzMiAvRm9udE5hbWUgL0JpdHN0cmVhbVZlcmFTYW5zLVJvbWFuIC9UeXBlIC9G\nb250RGVzY3JpcHRvcgovSXRhbGljQW5nbGUgMCAvU3RlbVYgMCAvQXNjZW50IDkyOSAvRGVzY2Vu\ndCAtMjM2Ci9Gb250QkJveCBbIC0xODQgLTIzNiAxMjg4IDkyOSBdIC9YSGVpZ2h0IDU0NyAvQ2Fw\nSGVpZ2h0IDczMAovTWF4V2lkdGggNjUxLjUgL0ZvbnRGaWxlMiAxNiAwIFIgPj4KZW5kb2JqCjE3\nIDAgb2JqClsgNDYgWyAzMjUuNSBdIDQ4IFsgNjUxLjUgNjUxLjUgNjUxLjUgXSBdCmVuZG9iagoz\nIDAgb2JqCjw8IC9GMSAxNCAwIFIgPj4KZW5kb2JqCjQgMCBvYmoKPDwgL0ExIDw8IC9UeXBlIC9F\neHRHU3RhdGUgL2NhIDEgL0NBIDAgPj4KL0EyIDw8IC9UeXBlIC9FeHRHU3RhdGUgL2NhIDEgL0NB\nIDEgPj4gPj4KZW5kb2JqCjUgMCBvYmoKPDwgPj4KZW5kb2JqCjYgMCBvYmoKPDwgPj4KZW5kb2Jq\nCjcgMCBvYmoKPDwgPj4KZW5kb2JqCjIgMCBvYmoKPDwgL1R5cGUgL1BhZ2VzIC9LaWRzIFsgMTAg\nMCBSIF0gL0NvdW50IDEgPj4KZW5kb2JqCjIxIDAgb2JqCjw8IC9DcmVhdG9yIChtYXRwbG90bGli\nIDEuNS4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcpCi9DcmVhdGlvbkRhdGUgKEQ6MjAxNjAzMTQx\nNjExNTUtMDcnMDAnKSAvUHJvZHVjZXIgKG1hdHBsb3RsaWIgcGRmIGJhY2tlbmQpCj4+CmVuZG9i\nagp4cmVmCjAgMjIKMDAwMDAwMDAwMCA2NTUzNSBmIAowMDAwMDAwMDE2IDAwMDAwIG4gCjAwMDAw\nNDg4NzEgMDAwMDAgbiAKMDAwMDA0ODY3NyAwMDAwMCBuIAowMDAwMDQ4NzA5IDAwMDAwIG4gCjAw\nMDAwNDg4MDggMDAwMDAgbiAKMDAwMDA0ODgyOSAwMDAwMCBuIAowMDAwMDQ4ODUwIDAwMDAwIG4g\nCjAwMDAwMDAwNjUgMDAwMDAgbiAKMDAwMDAwMDQwNyAwMDAwMCBuIAowMDAwMDAwMjA4IDAwMDAw\nIG4gCjAwMDAwMDc1MzQgMDAwMDAgbiAKMDAwMDA0ODM4NSAwMDAwMCBuIAowMDAwMDQ4MDEzIDAw\nMDAwIG4gCjAwMDAwNDgyMzIgMDAwMDAgbiAKMDAwMDA0NzYxMCAwMDAwMCBuIAowMDAwMDA3NTU1\nIDAwMDAwIG4gCjAwMDAwNDg2MTkgMDAwMDAgbiAKMDAwMDA0NzcwMSAwMDAwMCBuIAowMDAwMDQ3\nNTg4IDAwMDAwIG4gCjAwMDAwNDc1NjYgMDAwMDAgbiAKMDAwMDA0ODkzMSAwMDAwMCBuIAp0cmFp\nbGVyCjw8IC9TaXplIDIyIC9Sb290IDEgMCBSIC9JbmZvIDIxIDAgUiA+PgpzdGFydHhyZWYKNDkw\nNzkKJSVFT0YK\n", 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VqlUYN25CQCTsjhw5gvT0dEybNk10W263OyCmkwhRkLpBuLe3F3FxcbIm5oxGI2pra9HQ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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_helper.plot_qp2()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QP solvers in cobrapy will combine linear and quadratic coefficients. The linear portion will be obtained from the same objective_coefficient attribute used with LP's." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'x': 0.5, 'y': 1.5}" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y.objective_coefficient = -1\n", "sol = m.optimize(quadratic_component=Q, objective_sense=\"minimize\")\n", "sol.x_dict" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }