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September 12, 2016 12:15
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TB Lecture 5: SVD
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| "cell_type": "markdown", | |
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| "# Lecture 5: More SVD" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "One of the most far-reaching ideas from this section is the use of the SVD for dimension reduction. We're all swimming in data, and the SVD provides a way to reduce large data sets to its most essential components. \n", | |
| "\n", | |
| "Here we load data about all the votes made in the U.S. House of Representatives during the 111th Congress. " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
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9RJZPRBARsSjeJ8xRq9kqQo1vNOfAuqifFZf49yQChy+spx/bRWxPRvMtdE0z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\nO+RjZCkAAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<IPython.core.display.Image object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "load hou111kh\n", | |
| "imagesc(A), colorbar" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "The rows represent voters, the columns represent bills or other vote items, and the color shows the vote: yellow is 'yea', blue is 'nay', and green is 'no vote'. Each row is the fingerprint of a particular representative. As you can easily see, there is a great deal of dependence among those rows, indicating party affiliation. \n", | |
| "\n", | |
| "Extracting meaning from the data is a bit cleaner if we use the difference of each vote from the voter's average vote. " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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HfdzfaS7Hg3mVM2/Km3PC82ZCifALW3svDXUqPqI9Qm0ZbY+SBp4hxBPOnDnzRFajg+Sv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+ePS+eJatTZpiqm+oeTzxbtSwqLO5RO7lA6Ob46O34oa0lhsbaF//hAM6qHo4YnodH8QNP4iMB/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\n", | |
| "text/plain": [ | |
| "<IPython.core.display.Image object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "mu = mean(A,2); \n", | |
| "A = bsxfun(@minus,A,mu); % subtract each voter's average from all votes\n", | |
| "imagesc(A)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "We're going to use the SVD to find principal directions in the data. First we transpose the matrix so that it's got a tall, thin shape like we're used to." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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AABARmQoAAEBEZCoAAAARkakAAABERKYCAAAQEZkKAABARGQqAAAAEZGpAAAARESmAgAA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\n", | |
| "text/plain": [ | |
| "<IPython.core.display.Image object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "B = A';\n", | |
| "[U,S,V] = svd(B,0);\n", | |
| "sigma = diag(S);\n", | |
| "plot(sigma,'o','markersize',3)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Clearly there's a lot more information in the first two singular directions than in all of the others. We project each voter's record into those two directions." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 18, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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ffNZZZ+2/tWfPnueee+6bb765Z8+exu8NAAAgVYmpB1VaWrpnz56TTjrpYANO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| |
| "text/plain": [ | |
| "<IPython.core.display.Image object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x1 = U(:,1)'*B; x2 = U(:,2)'*B;\n", | |
| "subplot(211), histogram(x1,32)\n", | |
| "xlabel('first coefficient'), ylabel('frequency')\n", | |
| "subplot(212), histogram(x2,32)\n", | |
| "xlabel('second coefficient'), ylabel('frequency')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "The first coefficient shows clear polarity, with most voters having a large-magnitude coefficient. Political scientists call this quantity _partisanship_. The second is a little less obvious, but it is commonly called _bipartisanship_. It shows how willing a voter is to go against his or her party. The 21st century has seen some of the least bipartisan Congresses in history.\n", | |
| "\n", | |
| "We can now represent each voter by these two coordinates. A scatter plot dramatically illustrates the nature of the voting. We also use the known party affiliation to color each voter. " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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OnFiebgHQ35LJ9tBYX79tA9W6uvb2/i2kpGITAHEjplaYGTNmbNq06Zlnnils\nXLZsWQhh5syZZeoUAP0vmw2LFoVMJoSwbQPVSP8WUupcsSnPFjgAlIWYWmGOPvroEMKCBQvyLatW\nrbrppptGjhw5a9as8vULgH4WRcRo8m2Hoc5Uqj+LG3WTRfv3hQCgRGJqhZkzZ8706dMfeeSR448/\nfuHChZdffvmJJ57Y1tZ22mmnTZo0qdy9A6DfRJV+O8+5jVqio5X1QgBQIiWUKsxOO+3U3Nx82WWX\n3XfffdHU39133/3888//4he/WO6uAdDPokJKoSAr5gspVegLAUApqnK5XLn7wGCoqamxIQ1AxUmn\nQ3NzyGZDMrltX9OBmIg7aC8EADskpg4XYipA5cpm2wsdda7HW6EvBADdEFOHCzEVAACoCEooAQAA\nECNiKgAAADEipgIAABAjYioAAAAxIqYCAAAQI2IqAAAAMSKmAgAAECNiKgAAADEipgIAABAjYioA\nAAAxIqYCAAAQI2IqAAAAMSKmAgAAECNiKgAAADEipgIAABAjYioAAAAxIqYCAAAQI2IqAAAAMSKm\nAgAAECNiKgAAADEipgJAP8lmQ2NjaGnZdjeV2nYXACiNmAoAfZZKherqUF8famvbb0d384dSqXJ3\nEQAqxqhydwAAKlw6HVpaQiYTEon2lubmkEiE2tqQTIampvZh1XQ6JJNl7CYAVIqqXC5X7j4wGGpq\napYvX17uXgAMRdXV22XU6G4Iob4+tLa2N2az290FALpm0i8A9EE6HerqtmXU/N3of/mFqR3uAgBd\nE1MBoA+am0NDQ/G7TU3bLUntcBcA6IKYCgB90E0WTaVCU9O2Qx3uAgBdEFMBoA/q6kII22bz5u9G\nLdHd/An5uwBA11T6BYC+aWhoH0GNUmj+bn72b1Tpt3BuMADQNTEVAPom2mYmlQqNjSGZDOl0CCEk\nEiGVCitWtN9NJu1GAwAlsiHNcGFDGoABl822l1CKCv92uAsAlEZMHS7EVAAAoCIooQQAAECMiKkA\nAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiY\nCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECM\niKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoA9EY2G1Kp0NJS7n4AMOSIqQBAz6RS\nobo61Ndvu51KlbtPAAwhYioA0APpdGhpCZlMaG0NTU0hkwmZTMhmQzpd7p4BMFRU5XK5cveBwVBT\nU7N8+fJy9wKAilddHTKZkEhs15jNhvr60Npani4BMMQYTQUASpVOh7q6jhk1bXQRKQAAIABJREFU\nhJBIhETCOlUA+oeYCgCUqrk5NDQUP9TUZIUqAP1DTAUAStVNFk2lQlPT4PYGgCFKTAUASlVXF0Io\nMrk3aomOls6WNgAUJaYCAD3Q0NAxW0Zps6vJwEXZ0gaAboipAEAPJJPtSTXKllHarKsLyWSpz2BL\nGwC6Z0Oa4cKGNAD0r2y2vaJS58K/3bOlDQDdM5oKAPRGIhGamnqcUW1pA8AOiakAwOCxpQ0AOySm\nAgCDx5Y2AOyQmAoADJ7+3dKmRHa+AagsYioAMKj6ZUubEtn5BqASiakAwKDq+5Y2JbLzDUCFsiHN\ncGFDGgDiptdb2pTIzjcAFcpoKgBQHr3b0qZEdr4BqFxiKgAwBNn5BqByiakAwBBk5xuAyiWmAgBD\nUFl2vgGgX4ipAMDQNJg73wDQj0aVuwMAAAMi2uEmlQqNjSGZbN+HJpns/51vAOhfNqQZLmxIA8Cw\nNdA73wDQv8TU4UJMBQAAKoK1qQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAFSCaL/Lwh0wAYAh\nSkwFIN5SqVBdHerrt91OpcrdJwBgAI0qdwfoscWLF2cymQ6N48ePv+iii8rSH4ABlE6HlpaQybTv\nd9nU1D6smk6HZLK8XQMABoh9UyvPWWedtXTp0t13372wcdKkSbfffns3j7JvKlCRqqu3ZdS8bDbU\n14fW1vJ0CQAYYEZTK8/y5csPPfTQG2+8sdwdARhg6XSoq+uYUUMIiURIJEJLS6irG/xOAQADzdrU\nCtPW1vbSSy/NmDGj3B0BGHjNzaGhofihpiYrVAFgqBJTK8wf//jHXC534IEHlrsjAAOvmyyaSoWm\npsHtDQAwSMTUChOtL913330XLFjQ0NBwxhln/Nu//dvrr79e7n4BDIBoTm/nTWiiFjN+AWCIsja1\nwkQx9dxzz924cWMikXjxxRczmcxNN9101VVXHXHEEeXuHUB/a2hoH1DNh9Ko0m9Xk4EBgMqn0m+F\nOfnkkx977LFzzz23sbFx9OjRW7Zsueaaa6688soJEyYsXrx4zJgxXT2wpqam+2dWBxiIqXQ6NDeH\nbDYkkyGdDiGEZNKMXwAYwsTUmLrgggs2btxY2HLZZZeNGzdu9erVmzdvnjRpUuGhr33ta7fffvvl\nl19+wgkndPWENqQBKls2215RqXPhXwBgaDHpN6aWLFnS1tZW2PL1r3993Lhx++yzT+eTjz766Ntv\nv/1Pf/rTYPUOYNAlEkZQAWCYEFNj6vHHHy/avnXr1qqqqqqqqsLGaK7vX/7yl8HoGQDQSX7RtNpe\nAH2n0m8lyWazM2bMOO+88zq0R7N5p0+fXo5OAcCwlkqF6upQXx9qa9tv29MXoI/E1EoyderUvffe\ne+nSpc8++2y+ce3atQsXLhw1atTHP/7xMvYNAIahdDq0tIRMJrS2hmQyZDIhkwnZbHu1LwB6Rwml\nCnP33XefffbZu+666xe+8IWamppVq1bdeOONq1evPuecc84888xuHqiEEgD0u+rqkMl0LOyVzYb6\n+tDaWp4uAQwB1qZWmNmzZ1999dXf/e53r7vuuhBCVVXVe97znu9///uGUgFgkKXToa6uSPHpRCIk\nEqGlxTpVgF4ymjpcGE0FgP5VXx+amopn0ZaWkEqFTGawuwQwNFibCgDQG01NXVZLSqXsoATQe2Iq\nAEBvROOoLS0d26MWM34Bek1MBQDopYaGkEptl1TzG6gC0GtKKAEA9FIyGUIIqVRobAzJZPs+NMlk\nezsAvaOE0nChhBIADJxsNjQ3h4aGIoV/AegpMXW4EFMBAICKYG0qAAAAMSKmAgAAECNiKgDDWDYb\nGhuL7CgCAJSPmArAsJRKherqUF8famvbb6dS5e4TABCCmArAcJROh5aWkMmE1taQTIZMJmQyIZtt\n304EACgrlX6HC5V+Abaprg6ZTMedQ7LZUF8fWlvL0yUA4K+MpgIwzKTToa6uyO6WiURIJKxTBYCy\nE1MBGGaam0NDQ/FDTU1WqAJA2YmpAAwz3WTRVCo0NQ1ubwCAjsRUAIaZuroQQpHJvVFLdBQAKB8x\nFYDhp6EhpFLbJdVsNqRSXU4GBgAG0ahydwAABl0yGUIIqVRobAzJZPs+NMlkezsAUFY2pBkubEgD\nUEQ2215RqXPhXwCgTMTU4UJMBQAAKoK1qQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiY\nCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECM\niKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAQEXKZkMqFVpayt0PAPqb\nmAoAVJhUKlRXh/r6bbdTqXL3CYD+I6YCAJUknQ4tLSGTCa2toakpZDIhkwnZbEiny90zAPpJVS6X\nK3cfGAw1NTXLly8vdy8AoK+qq0MmExKJ7Rqz2VBfH1pby9MlAPqX0VQAoGKk06GurmNGDSEkEiGR\nsE4VYIgQUwGAitHcHBoaih9qarJCFWCIEFMBgIrRTRZNpUJT0+D2BoCBIaYCABWjri6EUGRyb9QS\nHQWg0ompAEAlaWjouF1qtIFqV5OBAag4o8rdAQCAHkgmQwghlQqNjSGZbN+HJplsbwdgCLAhzXBh\nQxoAhphstr2iUufCvwBUNDF1uBBTAQCAimBtKgAAADEipgIAABAjYioAAAAxIqYCAAAQI2IqAAAA\nMSKmAgAAECNiKgAAADEipgIAABAjYioAAAAxIqYCAAAQI2IqAAAAMSKmAgAAECNiKgAAADEipgIA\nABAjYioAAAAxIqYCAAAQI2IqAAAAMSKmAgAAECNiKgAAADEipgIAABAjYioAAAAxIqYCAAAQI2Iq\nAAAAMSKmAgAAECNiKgAAADEipgIAABAjYioAAAAxIqYCAAAQI2IqAAAAMSKmAgAAECNiKgAAADEi\npgIAABAjYioAAAAxIqYCgy6bDalUaGkpdz8AAIgjMRUYRKlUqK4O9fXbbqdS5e4TAADxIqYCgyWd\nDi0tIZMJra2hqSlkMiGTCdlsSKfL3TMAAGKkKpfLlbsPDIaamprly5eXuxcMb9XVIZMJicR2jdls\nqK8Pra3l6RIAAPFjNBUYFOl0qKvrmFFDCIlESCSsUwUAIE9Mjal169bNmjXrhhtuKHr0vvvuO/fc\ncz/96U/PmTPnG9/4xooVKwa5e9Bjzc2hoaH4oaYmK1QBAMgTU2Pq2muvXbly5VtvvdX50Pz58886\n66ylS5eOGTNm/fr1P/3pT4899tgHHnhg8DsJPdBNFk2lQlPT4PYGAID4ElNjZMuWLdls9v777//q\nV796zTXXFD3n4Ycfvv7669/znvfcddddN9988+LFi6+66qrNmzdfcsklb7/99iB3GHqgri6EUGRy\nb9QSHQUAgBBGlbsDbPPnP//505/+dPfn/OIXvwghXHDBBZMnT45aZs+e/YlPfOLOO+988MEHP/rR\njw54L6HXGhraB1TzoTTaQLWrycAAAAxLYmqMTJw48Xvf+150+8knn7z22ms7n/Pwww+PHDmytra2\nsPGjH/3onXfe+dBDD4mpxFoyGUIIqVRobAzJZPs+NMlkezsAAIQQxNRYGTNmzOzZs6Pbo0YV+U+z\nefPm1157bcqUKbvsskth+7Rp00IIL7300iB0EvokCqXZbGhuLrI5DQAAiKmVZf369Vu3bt1zzz07\ntEct69atK0enoOcSCTWTAOhf0VegtbXKHcBQIKZWks2bN4diA61RS3S0GzU1Nd0cXb58ed96BwBQ\nBqlU+zqSurowb15IJEIy6etQqGxiahlccMEFGzduLGy57LLLxo0bt8MHjhw5MhSLo1FLdLQbgijQ\nn4xcADGQToeWllBXF1paQktLmDev/f9DkFShgompZbBkyZK2trbClq9//eulxNRdd901hLBhw4YO\n7VFLdBRgwOVHLpLJbTWxfB4EyiGVCslkaGnZVvGgqSlks6G6OkydqkgfVCoxtQwef/zx3j1wzJgx\ne+yxx4svvrhly5bCsdNsNhtCmDhxYr90D6A70chFh8+DUXD1eRAYXOl0qKsL6XTHqnyJRKira0+w\nQCUaUe4O0DMzZszYtGnTM888U9i4bNmyEMLMmTPL1ClgOEmlwqJFHT8PNjW1b4oLMIiam0MIoa6u\nSOX46Du0lpbB7hLQL8TUCnP00UeHEBYsWJBvWbVq1U033TRy5MhZs2aVr1/A8BCNXHT+PJhIhETC\n50FgkDU1hXQ6NDQUOZRKhXnzfIEGlUpMrTBz5syZPn36I488cvzxxy9cuPDyyy8/8cQT29raTjvt\ntEmTJpW7d8BQ19xc/PNgCAZUgcFXV9c+ubeD6Euzlhar5qFSiakVZqeddmpubp49e/azzz77ne98\np7m5ecOGDeeff/5Xv/rVcncNGAa6yaKplM+DwOBraAgtLe1l3SLRevlo2odK5FChqnK5XLn7wGCo\nqamxIQ3QD+rrQ1NTx49+LS0hlQqZTHm6BAxv0fzeaLvU/Aaq2WxoaFBCCSqV0VQAeqKhIaRS2y1D\njUYuupoMDDDAmpraK7vNm9f+HVq0k6qMCpXLaOpwYTQV6DfpdGhuDtnstpEL+6YCO5LNhubmUFs7\ngBNxo5doaChS6A2oLGLqcCGmAv3M50GgNNHOyiGEZDK0tLR/x+WrLaAbYupwIaYCAIMvmn5RuN1y\ntFCgttakXKBLYupwIaYCAIOvujpkMh1nXWSzob4+tLb28jnzK+IV8oWhSgklAAAGRDod6uqKrAxI\nJEIisV0tthKlUqG6OtTXh9ra9ts2bIYhSUwFAGBARAvYi+pmG+aupNOhpSVkMqG1NSSTIZMJmUzI\nZrfbNBUYGkz6HS5M+gUABlk3eyoX3YO5ewMxfxiIJ6OpAAAMiPwuph1ELT3KqP0+fxiIMzEVAICB\n0tAQUqntYmS+AFKP9O/8YSDmxFQAAAZKMtmeVKNyR1EBpLq6Hu9G000WTaXswgpDjZgKAMAAypc7\nCqG9AFIvUmU/zh8G4m9UuTsAAMDQl0j0dcwzGpUNBaG0d/OHgfgTU6FiZbOhuTnU1voOGYDhIJon\nnEqFxsaQTLbvQ5NM9nj+MBB/Jv1CBcov7snfVjsCgGGgX+YPA/Fn39Thwr6pQ0c6HZqbw6JF26ry\nR3Oeamt9nwwAwBAgpg4XYurQYXdzAACGNJN+oaLY3RwAgKFOTIWKYndzAACGOjEVKordzQEAGOrE\nVKgodjcHAGCoE1Oh0kS7mxcmVbubAwAwhIwqdweAHrK7OQAAQ5oNaYYLG9IMQdlse0WlzoV/AQCg\nYompw4WYCgAAVARrUwEAAIgRa1N7ZuvWrYsXL162bNmKFSs2bdq03377zZw584QTTth1113L3TUA\nAIChwKTfHli2bNmll176/PPPd2gfP378JZdccswxx5SlVyUy6RcAAKgIRlNLtXLlyrlz565du3bq\n1KknnHBCdXV1VVXVypUr77zzzieffPLCCy+cPHnyIYccUu5uAgAAVDajqaWaO3fu0qVLTzzxxG9+\n85sjRmy3pjedTv/zP//zzJkzf/nLX5areztkNBUAoLzyO53X1ZW7KxBvSiiV6vHHH993330vu+yy\nDhk1hJBMJg877LDly5dv2LChLH0DACDOUqlQXR3q60NtbfvtVKrcfYIYE1NL8sorr6xZs+bQQw8d\nOXJk0RMOO+ywLVu2PPfcc4PcMQAAYi6dDi0tIZMJra0hmQyZTMhkQjYb0uly9wziSkwtyfjx43fa\naaeNGzd2dcK6detCCGPGjBnETgEAUAFSqbBoUUgktrUkEqGpyYAqdElMLclOO+10wAEHPPbYY21t\nbZ2Pbtq06aGHHtp3330Thb9+AAAY9tLpUFcXOn9ITCRCIhFaWga/R1ABxNRSXXrppRs3bvzKV76y\nfv36wva2traLLrpoxYoV559/flVVVbm6BwBADDU3h4aG4ocMqEJXVPotVTqdbmlp+f3vf7/rrrt+\n/OMfTyQSI0aMePHFF++9997169cfcMABs2fPLjz/sMMO+/CHP1yu3nam0i8AwOBraQmpVMhkihyq\nrw9NTar+QhFiaqmOOuqoV199tfTzv/zlL59//vkD15+eElMBBkQ2G5qbQ22tT5pAV4rG0W7iKzCq\n3B2oGHPnzn3rrbdKP//ggw8euM4AUH6pVHuZzmQypFKhsTEkk6Gpqcy9AuKnoaF9cm8+qeY3UAWK\nMpo6XBhNBehP6XRobt6udmf0qbO2NiSTZewXEE/R74xsNiST277g8r0WdEVMHS7EVID+VF0dMpmO\ntTuz2VBfH1pby9MlIPaiVQINDUUK/wKFTPrt0uOPP37fffeNHDnyvPPOCyFcffXV//M//9P9Q772\nta8NStcAKKsd7i9hnSpQTLRdKrBDRlO7dMMNN3zzm9/ceeedn3rqqVBaCaU4D1caTaWfKRvDcNZN\ndU5FUaATfzGAnhJTu/SnP/3pv/7rv0aMGHHSSSeFEG677bYNGzZ0/5AvfOELg9K13hBT6TeFZWNa\nWtrX2fhymGHF/hJQGn8xgN4RU4cLMZX+oWwMROwvATviLwbQa2LqcCGm0j+UjYFI9AG8MKlms6Gx\nMTQ0+AAOEX8x+kV+6xqzNBhWlFDqmddee+2FF15Yu3Zt0aMf+9jHBrk/MKiUjYG8KIvmt0vNz2uU\nUSGE4C9Gf8hPmW5qivvezLI0/c5oaqna2touvvjiu+++e+vWrV2dE+fhSqOp9ANlY6Az+0tAMf5i\n9FGlTJkuzNL5jWHjmaWpLGJqqS699NKf/exnIYSZM2dOnz696DkLFiwY3E71gJhKP1A2BoDS+IvR\nRxUxZbpSsjSVyKTfkuRyuTvvvLOqqurmm28+5JBDyt0dKJO6upBKFZmq1dLSfhQAQgj+YvRNpUyZ\njr6JKOxntDFsfb2YSl+NKHcHKsMrr7zS1tZ22GGHyagMdw0N7Z878vLrUQAYfqLaYYV/FvL8xei1\naCVBUdE61TjYYZaGvhBTS7LzzjuHECZNmlTujkC5JZPtnzuqq9v/v74+1NX51hRguMn/Eait3fZn\noZC/GL3WTRZNpbat/Ixif4dA2M0XB5316OQOKiJLU7nE1JKMHz++urr6ySef7KZ+EgwXyWTIZNrX\nG2UyobVVqQSA4SadDi0t7X8E8n8Wstn2ajp5/mL0TjSnt3N6zE+Zzsf+ELZ9EbDDLw4K9ejkokrM\n0tA7SiiV6u677z777LPnzp17zjnnVFVVlbs7PaaEEgDQXyqiwE9F62Zv5hCKFy7KZkutZtRfpY+K\nVsNSyZl+IaZ2afny5Y888khhy29/+9v777//wAMPPPLIIydMmNA5rJ566qmD2MGeEVMBgH6RTof7\n7w+LFhU5pIpvP4rCZLTFS35v5qam4t8RVFeHEDp+R9DVFwf99S1DN1na1G76SKXfLj366KPf+ta3\nOrc/++yzzz77bNGHxDmmAgD0iyiZFBVNBBVTeyFfXyp/9ZLJkEy2782cT5VFCxdFjdlsxyLARSsD\n92MZ4SiLplKhsXG7LC2j0ndGU7v0+OOPL126tEcPOf/88weoM31nNBUA6Bf2RO1fqVR7wGtq2jZ8\n2tUXAUWvcNQYQpH/Lp3/Y3Xz36jX83WjLN3QUCT9Qu+IqcOFmAoA9BeLErvXeWi0Kz1dJlr0IkeN\nIXSZYAsbfctARVDpt2fefvvtl19+Obq9Zs2a+fPnn3rqqfPnz//DH/5Q3o4BAAwae6J2pacVdFOp\n7TJqCCGR6K6IbtEiwPlg2fmLg86NOywjDHEgppZq69at3/rWtz74wQ+m0+kQwjvvvHPKKadcf/31\njzzyyPXXX3/KKac89dRT5e4jAMBgsCdqUSXu01N4fvfLRIsq+h1BpMQvDnzLQPyZ9FuqH/zgB1dd\nddUuu+xywQUXnHrqqb/4xS8uvvjiffbZZ+7cua+++uqPfvSjj3zkI9ddd125u9klk34BgH5nUWKh\nnlbQ7fUy0aJFgKdOLV4ZuPRnsNkp8SGmlqq2tvaNN974xS9+ccABB4QQ5s6du3Tp0iuvvPKTn/xk\nCOH0009/4IEHHn744bFjx5a7p8WJqQDAsBXF6draAZzU2ot9evq4TLTodwQ9+uLAtwzElkm/JVm/\nfv0rr7xy5JFHRhl169atjz766NixY48++ujohIMPPnjr1q2rVq0qazcBANhOfk5y/nb3i0V7Lcp7\nRXW11rSPy0SjVawdEmbRxh49A8SBmFqStWvXhhAmTpwY3f3jH//45ptvHnLIISNHjoxaRowYEULY\nsGFDuXoIAEAHhYtFm5p2vFi0L7qpe5RKdTmf1jJRKEpMLcnee+8dQsgPlkb7qf7t3/5t/oTnnnsu\nhDBhwoRy9A4AgCJ6Wke3L3o3NKoYFRQ1qtwdqAxjxox573vf++CDD/7ud7/bbbfdFi1aFEKo++vv\nm2eeeWbJkiWTJk0SUwEAYmKHdXT7fZ1qFDhDQSgtZWg0mQzJZPsy0c4VmGB4MppaqtNPP33jxo2N\njY0nnXTS+vXrZ8+ePW3atBDCN7/5zTlz5rz99tuNjY3R1F8AAMquF4tF+6gvQ6OWiUIho6ml+uxn\nP/vmm2/++Mc/Xrt27axZs/7xH/8xav/jH/84atSouXPn/v3f/315ewgAQF6URYsOmXazWLSPDI1C\nv7AhTY/lcrmqqqr83RUrVkyePHnUqLgHfhvSAADDTdFtXbrfkhSIg7iHqxgqzKghhKlTp5arJwAA\ndKN3i0WBshNTe+a111574YUXov1pOvvYxz42yP0BAKAr0aLQVCo0NoZksn0fmmheLhBnJv2Wqq2t\n7eKLL7777ru3bt3a1TlxnlVr0i8ARCsGa2v7v8QrMRf9p29osFgUKoPR1FJdfvnld911Vwhh5syZ\n06dPL3d3AIAeSKW2jaTlx9YGqIgOMRTV0QUqhdHUkuRyuUMPPXTDhg0333zzIYccUu7u9IbRVACG\nrXQ6NDeHRYu2jaRFCxRra03+pOLlV9uaI8BQYp/Pkrz66qttbW2HHXZYhWZUABjOUqntMmr469ja\nQOycCYMmvzVrbe22zVo7y2ZDY2NobAwtLYPdQ+g1MbUke++99+jRoydNmlTujgAAPZNOh7q6IisS\nE4mQSPjgTqVKp0NLS8hkQmtrSCZDJhMymZDNtk9uj0TZtbo6tLSEbDbU13cZZSFuxNSS7Lzzzgcd\ndNCTTz7ZTf0kACCGosI5RRlQpXLtcI5AOh3mzQuJRGhtDa2t7YG2ri7Mm7ddlIV4ElNLdf75569e\nvfp73/ue1bwAUEG6yaKplLI6VKRS5ghEP/aFUTZfR8q3M8SfSr+lamtrO/nkk6+++upMJnPkkUdO\nmDChqqqqwzmnnnpqWfoGAHSlri6kUqGlpWOBmeijvKozVKLm5i6/YYm+l8lmQzYbksmOUTaRCHV1\noaWlyL8IiBWVfkt11FFHvfrqq92fE+dSuir9AjBsRZV+m5q2fS6Piso0NKj0S0VqaQmpVMhkihyq\nr29PqtHK1c5ZtKUl1NeHurriD4eYMJpaqlNOOeXNN98sdy8AgB6Lsmh+u9T8BqoyKhWqlDkCUZTt\nHFOjGb+muxNzRlP7TS6X6zwNOD6MpgJANtteUanzoj6oLDucI1BfX2RA1VAqlUIJpf7x3e9+d8aM\nGevXry93RwCALkUlZGRUhoBkMjQ0bNsuNdpAta5u2xyBqMB1NOgayWbbh1K7qn0N8WHSbw/ceeed\nmUxmxYoVHdo3b97c2tqay+VeffXVsWPHlqVvAAAMK9HE9WiOQCbT8fuXKK82N4f6+vZD2WxIJMK8\neX2d7h69Ym2tIkwMIJN+S3XzzTc3dT2Lf6eddpo1a9b3vve9wexSj5j0CwAwDEWpMoRt092jYdWG\nhh7nzFRq29Lulpb2YsKWuTIQTPot1cKFC6uqqs4555xbbrmlvr5+p512uuWWW+64446rrrpqypQp\nBx988L/927+Vu48AALCdaK57NN09Pz24tnbbhOG8aHVrfpJwB+l0+2LX1tbQ1BQWLWrf2yYKrtC/\nxNSSrFmz5oUXXjj88MPPPPPMQw455Lzzztu8efPq1avf+973fuITn2hubn7qqae+//3vl7ubQ1T0\njV9XvzIBAChBYc5MJkMmEzKZkM2GdHoH8TWSSoVFi7bLutHYbCpV5GToIzG1JFFtpP333z+6O23a\ntNGjRz/33HPR3SlTpsyaNeuGG24oW/+GqvxvwfxtvwUBAHolnzPzooHWaAS1aHzNS6dDXV1IJDqO\nqUZrYtNpY6r0MzG1JHvuuWcI4cUXX4zujhw5MpFIZLPZ/AnTpk1bv379qlWrytK9oanzb8HOvzIB\nAChBPmd2kEgUqYAdtRSODkQ7OYViWTdam2oogf4lppZkr732Gjt27BNPPLFly5aoZcaMGY8++mj+\nhLfffjuEsHr16vL0b0jq6hs/vwUBAHoonzM7iL7/7/zxKoqv+UVX0Uewolk3/5HNCi36kZhaquOO\nO+7NN98844wzHnjggRDC4YcfvnLlyquvvnrTpk0vv/zyf/7nf4YQJk2aVO5uDhXdf+PntyAAQE90\n9VV/VAS4aLXewodENYEbGztm3ehDWV2doQT6mQ1pSrVmzZovfvGLzzzzzIwZM2677bYNGzbMmjXr\njTfeGD169KZNm3K53BFHHLFo0aL+erl169Ydd9xxp5122imnnNLh0OLFizOZTIfG8ePHX3TRRd08\nYYVtSFNfH5qaildJb2kJqVTodAUAAOhG0Y9XUf2k1tbi5zc0hPvvb9+6Jjozkdj2KSyqDNzQEJLJ\n7j67QS+MKncHKsa4ceNuuOGGxYsXv/LKKyGEXXfddeHCheedd15ra2tVVdUHPvCBf/7nf+7Hl7v2\n2mtXrlz51ltvdT505513Ll26dPfddy9sHGoDudE3ckV/1aVS9ucCAOhlCMIYAAAgAElEQVSphob2\nAc/8J6xoS9VsNrS0dPzYFW2zkM2211gKoX2L1KioZTK5bQPVaA/VwqeFvhNTe2C33XY78cQT83dn\nzpz561//es2aNSNHjhw7dmzfn3/Lli0vvvjiihUrbrvttsWLF3d12vLlyw899NAbb7yx768YX3V1\n7b8dO/zCGz6/BaO/G7W1w+LNAgB9U8oHh2QyhBBSqdDYuF3O7Bxf0+kwb15YtCisWNF+KH9+pKUl\nLFoU7r8/1Na2bx1YdOEr9Jq1qX01bty4fsmoIYQ///nPs2fP/vKXv9xNRm1ra3vppZdmzJjRL68Y\na9GvzMJlqMPkt6BteACAkpXywSGanRt9/x+VpAxh2y4KiUT7x67osdXVobExzJsXQui460I2G+rq\n2kdf6+vDvHmhvj5UV4fs/2fv/oMmqesDj3+WXSSbIDmFBH9vT0hmXaIxoklMqtinhwt6Ss4fISlD\nUtzMHOYUy0SDcDHGc2YwUS+xEk3VneYqVM8T4Q5MxRCClgrszJOLP+oEyWmsElwzswFFDgVcFbIL\ny9wfn+9+5zvdPT09Mz09PTPvV1HUs/Oju+fZ59nuT38+38+nb2JgICtkU6fzr//6rw8++KBW2D70\n0EP//b//96985SvPfe5zX/Oa15x77rlzbvzpT3/6n/3Zn+nXX/ziF//iL/4i+pq77757MBg897nP\nnXNfK2DcHb/1/lfQjuHR9lGNhgnO2+01/+AAAGB6Ey8c9Gv7YhETZ9oZf1rHa+NP7WLZ7Uq7Lf2+\n9HrDjpaeN0y36lpWd0rNuEsVm2WgPgxToYVSWk888cS73/3u66+//td//dff/va3P/7446961asO\nHz6sz/7QD/3Q9vb285///Kx2d9ttt73xjW+84oorXv/617uP33DDDe985zuvueaaz372s//0T/+0\nd+/e/fv3X3rppWeddVbyBleshZJLq1iq1ZjGv+unVBqeaqx+XyqV+OYGAABgGQqyOif5wqHdlu1t\nCQLpds0XIiYoFRHPk60tE1u22yaD2miYZkiagA2CkeBTk6ieJ0Ew8sFjL1VshNxomBWwuroVSIOi\n37Q+9KEPffjDH969e/ezn/1sEfnbv/3bw4cP/8iP/Mg73/nO17/+9d///vf/9E//NIfD0FDzLW95\ny1/+5V8++OCDn/vc5z70oQ+9/OUv/8xnPpPD3pcjOnN6XTGGBwCAwivO6pyJFw52oqn9Qq+qdGWp\nO0JGpyi4+VUNa0MfrdWSWi3m8eilik3z9npSqw0LjN0FrkACwtS0brjhhic96Ul/9Vd/demll4rI\nrbfeKiK///u//xu/8RtXXHHFwYMHP/vZzx49enTRh3HXXXft2rXrda973e233/53f/d3d9xxx1ve\n8pajR4++7W1v+973vrfovWOxxg3elvHDzgAAQI7c6EuXay4x+kq+cKhUTBAbimY1mNQlqRpb6gv0\nNbZ/pe/L9vYw+LSrW22/pdD989Clig2MLY2QuZxBSqxNTeXo0aPf/OY3L7jggnK5LCJPPPHE5z//\n+TPOOOOlL32pvuAFL3jB3//93993331p2ildeeWVx44dcx+5+uqrn/KUp6Q5kve///2PPfaYHT+z\ne/fuyy+//J//+Z9vuummT37ykxdffHHCe/fv35/w7KqWBK8TxvAAAFBsmnWMRl+VyhKaSCRfOGhj\nJBHZ3h65iNjelmbTvEBfqZtyN1itmjJd3zfTaLROWMSkkXUmg/YP0fe6lyoT07ysU8VEhKmpPPzw\nwyLy9Kc/Xf949913f/e73z148ODu3bv1kVNOOUVEHn300TRbu+222x555BH3kd/7vd9LGab+yI/8\nSPTBl770pTfddNNXv/rV5PcSiBYdY3gAACgYtwNQ0aKv5AsHLc31/XA0q0G1iFQqJhDV12tcqi/W\n5LBmYpXnDSNVORm12q5L+j2xuwgFxq6E0BpwUfSbylOf+lQRue+++/SPhw4dEpGXvOQl9gXaS+ns\ns89Os7U777zzrlE2OzrRE088Ee16dfrpp4vIt7/97ZQbQXFt7BgeAAAKxq5B3doajmkp2uqchAsH\nDQVtEGtfoxFmEJg2SLbWt9s1nZDa7WFVs4gJQd1+v6rTMX9stcKXKgnfDerDkBJhaiqnn376T/zE\nT3z605/+zGc+84//+I9BEIiIf/JG0Je//OXbbrvtGc94RsowdWb9fv/AgQNXXHFF6HFNk/74j//4\nQveOPNgZ23Zyma4sYRoNAAA5iu0AVKslRV/RiDEHyRcO9pDsFxrE6rpTu8S005Fm03TitZlhfaWI\n+eDdrnieNJsmTNWAVsS80fNGLlX0GrlSCX83qA9DehT9pvWbv/mb//k//+e6lueLvOxlLzvnnHNE\n5F3vetdHPvKR48eP1+t1Lf1dnH379j31qU89dOiQDmvVBx9++OFrrrlmz549F1544UL3jpzobFjt\ncx/tMQ8AABZv3BrUUimmyNZGgBrHuis2c5Bw4WBHp2oGVQNLS8PRWs08bqNQz5N63WxHA1Qt/dXs\nq51Vo9Gp5mPdcNSd1KrTa/S7QX0YpkKYmtarXvWq7373ux/+8IcffvjhCy644Hd/93f18bvvvnvP\nnj2XX375f/gP/2HRx7Br165ms/nbv/3bv/Zrv3bJJZfs37//vvvuu+666x544IE3v/nNP/ZjP7bo\nA0B+9GQIAAByl7AGVZeDipMSbLel2RzOF7XxWLuday3UuAsHN4itVk38qZP+7AJUDW51JmqjIUeO\nDFe09vsmj6oRuH5q+51pNGRrSyoVUwAsThZat7+9baJc3ZceDJDGruhCRyQbDAa7du2yfzxy5Mgz\nn/nMPXsyDvhvu+22N77xjVdcccXrX//60FOHDh163/ve97WvfU1Edu3a9ZznPOeqq66amErdv38/\nLZQAAMAKCS2zzI1Ga7E77XZNpKe503Zb+n1pNsMhotbE9nq5HO40dJiqRpWhj6nVwhpk6stsB+Nq\n1eRFNaGqAa0G7f2+9PvDT1oqhTO6GiFr5J//XyVWF2HqpiBMBQAAq8IWjjYapgNtnmW0biwXYkM7\njb5EpN+XIEh65eLoMWxtTbcXe2Dux7Rf67Mao/q+qQfWNKxmZfXZ0KJTTbfu2yc7O+a7YW8x7OwM\ng3lbGk3FGCYiTB3rzjvvvPXWW3fv3q0tiz74wQ9+73vfS37LVVddlcuhzYIwFQAArAQtFg2CYVJO\nY56trfxKRmODzGj4mpx3HRfrzs+G8bp2dKrYT7+9NgrVAmBtYqz5Ya3U7XTMDJ6TjVnCa1Atm1MV\nkU7HxKUiw7Jh2+ep01nCXyVWFGHqWNdee+273vWuJz3pSV/60pdE5ODBg/fff3/yW4ocBxKmAgCA\nlRAtHJXcy2jdWM4egI3lrDR519kkFDzPH8brFrQHkkaeWres0a8+rv/XjYeGprqCQHZ2TPsl5fvD\nYyuVRE7OXNWCYSlwRTQKhTB1rK9+9au33377Kaec8trXvlZEbrzxxkcffTT5LZdcckkuhzYLwlQA\nAFB87fawcDQkhzLa0JHYemObuoxmLFPmXdOvs51Y8JxVGK81w/v2mb1o7tRtzFuvm/5JnifVqhw5\nYoJYpa/Ugas2oBUxaVj3U2hO1V3Bm/NfJVbSAJuhXC4v+xAAAAAm8P1BpxP/VKcz8P1cD2YwGPR6\ng2Zz0OuNfUEQhI+51xv4/iAIzB+bzYHnDTzPvNLzBs3mhK25u+v1BrXacGtBMKjV4t+b8K2bqNcb\niJiN24143qDTMQcvMvKf/YvQT6eP2KeazYHvm+PR74aI+Q6opfxVYrWQTU3rv/23/3baaae97nWv\ni332+uuv7/V6v/d7v5fzUaWXXzZ1tuX8q7hTAACQtcWV0S5OQt512gLdiZnSBa2GrddNKtWmcN29\nR9mVq/rp9AhFht8B7QOsXzebsrVl1rhO/BSAOmXZB7Aybrjhhr/5m78Z9+wnPvGJtp1kvLFaLSmV\nzL9S+rVOFlu/nQIAgMXQ0CXaqkcfKWZgU6tJp2Piw05Her1hdWurNRKjyskBp7FXKwnzWu0i0nHv\n1X2l7KJkC3rtftttCQLp9eTIkWFcahsjacwZ2pctY/a84SG5H8EWDGsfJv0+aJGwFPWvEsVBmJrk\nwQcf/MpJjz/++LFjx74S5wtf+MLhw4f37t277ONdKjvOWf9t1n+t+31ZaPS+lJ0CAIBF0q6wbqRq\nI6Ii0/jTDTLThJ2u7e2xn9FGp3OG8fb2/tbW8Pa+xtI63dReWClN7do43H6WbldKJfE82d6WUmnk\neLTzsO+bqzP9sBrx6qco/l8lioCi3yTXXHPNH/3RH6V88Qtf+MLrr79+occzj4UX/S6lK18RWgEC\nAICspWxfVHDTFuimLHhO2YU4yq1Atv2TdnZERIJAKhXpds0FlDZAsk2SNKcarf51Oycpd2iN+177\nYlnNv0rkb8+yD6DQzj777PPOO0+//tKXvrR79+5zzz03+rI9e/Y8+9nPfv3rX5/v0RXJxLuFiyjs\nWMpOkb5TIQAAs6rVpFYzoVT0jvSq0ORh7AkztkBXG+RGL2FCmVKNRVstqddHwvjkGFVP4Lr01L5F\nR6Tqt1fHn+o6Kjk5RabZNI+P26ar2ZR9+4YHbBep6nWZvjgImJiKdJbdw2llnH/++a94xSuWfRSz\nW2yn36V05StaK8C1N1WnQgAAMOZqJeE6JblvsLYdts9O7EKs3Ga8+oXbK7jTMT1+tTevviba2jf2\nP9vCV1+vG2k2hy9wW/vqyzxv4vcMGAwGA9ampnXgwIGf+ImfWPZRFFUmy/lXYqcby12tYleosAwY\nAIBE066zrdXMW3TVqK4j9X05ciSmZWR0NWyUPYH7vrk4CgJTXax832Rx7dRTfbE+1WyKOPW69gt9\ngS0G1ryrblPfonQlaqkk9fqwG1N0YS0QRZiayve+970f/MEfPO2005Z9IEW1lK58q9gKcHVN1akQ\nAACIyPiwM6HwNdo3eN8+6XYlCMT3ZWtrunvF9gTeaEilMiz9bTZHxiP0+yPteW30q7twe//KyXpg\nGS36bTal3x9el9k4tt2WTsccvHYM5toBadBCKa1KpfKNb3zj05/+9FlnnbXsY5nFwlsozbycf+V2\nuoHabdnZkSCIeYrBZwAApKDrbHV8y7RKJfOFHWqq0e/ElpF6oeR5Uq2aSyS7NLRSkWrV9E/SaNPe\n59fsqI1Fo3S1sKZ2Gw0zEFWzsjb7qs1+g8Bkfbtd89krlWG2FkhANjWtn/mZnxGRf/iHf1j2gRTV\nDHcLV3SnGyhNg3wAADBemgLdWNpxN7rsRtOeCQW02mOp3zezZ+p1M+DUzl/V03u7bU7yOkLGtqfU\nSDJ6wLWambmqQez2tnnc96XdHqn41ci825Vm0xytNpQiRkUaZFPT+ta3vvWmN73pa1/72rXXXrt/\n//5lH87UFp5Ntea5W7haO90cKRvkAwCArJVKpmLWpS15NVcZe37WPGq1alol27SqBr1yco2ofq2T\nY0SGp/RuV+p1Ew/b3r/6ymilcULe1Wo2pd02eeDY8iwghIE0aX3961//rd/6rf/6X//rq171qkql\n8rznPe/ss88OrVb99//+3y/r8ApE7xZuwk43R8oG+QAAIFMaE0an2uiUFy3ijaXhq+eZfKbmPLe2\nTJiq0017PRO42u1ogZQmPDWOtclSFRuOapQbrRm2kbAtBtZyt3abujdMRjY1rYMHD95///3Jr8kp\nXTmT/LKpWEssAwYAIHdatKRNj0KRarstrVb82lS3p0SlYgJIN27UMFJTo7bBr1bt2rWv+pQ7NHVi\nyjRKY1SNjWs1aTRMejZ5SS0gZFPTe+UrX/nd73532UcBLMlso8QBAMAcqlWp14fdcd17xXr3OJZ9\nSk/XQWByqpojtc2NtDOTBpD2DK/RrF1iasNaZb/Wl9nXjKOdfn1/WJlso2WKsZCMbGpmBoPBrl27\nln0UY5FNRTZYBgwAwOK1WiOrQG1w6OY5Y1elitNTolQypb8iprjXjpOzPRA1T6uLe0INfvWN7hAa\n95EEepB2U7a9cOjwgASEqdl43/ve9xd/8Rf/5//8nzPOOGPZxxKPMBUAAGAlaPGtzju1zZB2dkyU\nqJ17k5fdVCrmxXbxqlbbuqGmjTw16BUZmXrqeWZHoag1ub1wrNAEGtovIg2KfqfwsY99rNPpHDly\nJPT4Y4891uv1BoPB/fffX9gwFQAAAAn6fRP+LT2Csg2Q5OSyG63atXnRictutFo4CMyHsvNjbIbT\n900f4CAwTYNtOyUR00NYv3bpQlOX3aDbBDiUdHVbQNF+ESmRTU3r+uuvb4zvJXvqqadecMEFf/Zn\nf5bnIU2FbCoAANhAulplayspNLIVtjpNVHsILWuGgNsAyaXp0EYjbV+IUilcnet50uuZ7WhU2elI\ntxvut6SFwTZGtV2UbHw7bTZV9yu0X8Q0Tln2AayMa665ZteuXW9+85tvuOGGSqVy6qmn3nDDDTff\nfPMHPvCBZz3rWS94wQv+9E//dNnHCAAAAKPVklLJjP3Ur3U1Zki7Ld2udDrS60mtJp2OmRcaHRCa\nDy3xjfI80wwpDV0aast0dfKqZlY12mw2TWVvdHcaTMrJpKi2O7IRb0KMOq5thW6wVDJNm4hRkcoA\nKTz44IPlcvnSSy/VP951113lcvlTn/qU/vGee+55/vOf//73v395BzhZuVxe9iEAAADkJAgGvj/o\n9YaP9HqDWm0QBOFXet7Iy+yLPW+Bh5eg0xn4fvxTvj/odFJtxPMGzeZAZOB5w7f0euYR/ebo4+7u\ngmAgMvzP8waeZ75wHx/3n/sy+7XnDXx/ZL96bEAysqmpHD16VER+7Md+TP94zjnnnHbaaYcPH9Y/\nPutZz7rggguuvfbapR0fAAAAHK2WWW9p2Sa3Lh2XEk0D2rkp+Qt1M7LSr+rUD6UJVe3iq5lkTSxr\nSbPvS70+HAyj2U53Mao+rpXPNpUaSoSGvm9ujbH9WouEi5OsxqogTE3lh3/4h0Xknnvu0T/u3r3b\n87y+87t4zjnnHD169L777lvK4QEAAMBKH3yOq7AViYlpc1Otmr5H+n9x2juloYXBOhy13zeRocjw\ni1LJTEbV6FSDxn5fms2Riam6U1cotkyYTKMRcvQtMuZ+ARBCmJrKv/k3/+aMM874v//3/544cUIf\nOXDgwOc//3n7gn/9138VkQceeGA5xwcAAICT0gefCfGSDhddiiNHpNuVel2aTalUZNcuKZXE99Ou\n6mw0pN0etiy2XZE8T1otE737vnmk0RhOqdFluq6JI1Kj9F6A9kxStVr4m7zEZDVWBWFqWq95zWu+\n+93vvuENb/iHf/gHEfnZn/3Zr3/96x/84AePHz/+jW984+/+7u9E5BnPeMayDxMAAGDTpQ8+56+w\nzZzGir2e+a/ZlE5HajXZty/tFnzf1PqKk5gVkW53mJvV0FRLf0VGOiTZ3ksyvitSbLJaRGo1M6JG\nK4r1kX4/JuAnoYpkDKRJ66GHHrrsssu+/OUvHzhw4MYbb3z00UcvuOCCBx988LTTTjt+/PhgMPiF\nX/iFINo7vDAYSAMAADaHzm4JxZlaRquFr1a7LdvbIy9e7tyUUskcoTvEVafIdDqTh+sonYAaBGbw\njE7ZsQnM0FxTVauZImG7hDWWRqGxWxAR35dOxwy20W1q3Bv6nsuYvyDAIpua1lOe8pRrr732D//w\nD3/xF39RRPbu3XvNNdeUSqVjx46JyAtf+ML3vOc9yz5G4CQ7zBsAgI3kZhHVuOWdtZp5sfYZ0hk2\n6Stss6UrOSsVqVRka2t4VBpnThyuY9Vq0myapadHjowMPm02Tbmv/YCaVm23pdUyE2v6/fDgVk2T\nuhnU6FBWEel2Zdcu821vNs2m7PfcXp4sMVmNVUE2dV4PPfTQ7t27zzjjjGUfyARkUzeFnVCuNzCX\nO6EcAIDlsVlEzSiKTDgl9vtmUeu4StccaCDq9ii2w06rVdneNmlJfXBra0Isrd+Bbnd4UWAXhWoD\nXv2GlEomR6p0OqvvS7MpQSA7O8M2SNE1pfaNNr+qj+ioVf3m6x/tX4G2a9LkLTAOYeqmIEzdCHo6\nip7cJp7HAABYU8sKPnW/aQp0XRoxhkpkSyWRkw1y3crkSmWkU9E4enVg40YNI/W/Tkd2dkx3XxvM\n+75Uq1KvmwgzCMwBiJN3FRmJbF3u427s6u5Ct8zlCRIQpk7niSee+PjHP/6FL3zhyJEjx48ff/az\nn33uuedefPHFe/fuXfahTUCYuhF0OUt0ilnK8xgAAJjbzIVN7bbs7JiGQzYctQ+KhMPX0PLOcYGx\nXh3oaltNrrorS8fV8WptsO5CK3Vt0a9bQpzAXeyqx+neL+DyBMkIU6fwhS984R3veMfXvva10ONn\nnnnm7//+71900UVLOaqUCFPXn57HYgtoaFMAAFgjdpVpAc9s8xQ26elao0173tYyYBUKU21HqITA\nWK8OPM+U2sqYLKhuRFOs9hFNnNoC4JR0Sap+8E5nWHodjUi5PEECwtS0vv71r//yL//yww8/vG/f\nvosvvrhUKu3atevrX//6xz72sS9+8Yt79uy57rrrfvqnf3rZhzkWYer6S/jHPrazIQAAq8bGY43G\ncN1poTowzFPYZE/XNrQTGSmgDX1YN6wdFxhXKsPForrWtFaTUikcqTabsm+facvkZlm1FVMaeni6\nC9833wffH+ZjUzZeBowB0nnDG95QLpff/va3nzhxIvRUEATlcvnVr371Ug4spXK5vOxDwIJ1OgPf\nj3/K9wedTq4HAwBA1oJg4PuDXm/4SK83qNUGQbCsIwoLgkGtFv9UylOxfZl+2GZz0OsNfN98cP2w\n9gt90PNivgOdzsDzBrXaoNkciJiXNZtmm543EBmIDGq1gYj5o/t/faXuWl9pn4r+53nmkHSDnjfo\ndAYi5oPo5UnsRQqXJ0hAmJrWz/3czx08ePDxxx+PffaSSy45cODAI488kvNRpUeYuhFi/71PCF8B\nAFgdGg6FaABWEAlxV8qzsQafGmTqh7VhaqczjCo1+NT/9Fl9cDAYiULtF75v4ucgMI+7Maf9o+eZ\nV4b24ka89sW609AW3Nfbz6uvDH1nuDxBMuampvLNb37zoYceOu+883bv3h37ghe96EUnTpw4fPhw\nzgcGjEg/JA4AgJXSbovvx3TrjY5IWSKtbo2lVa8T6RDXel1EZHt7OMRVH2y3zXeg2RTfN1W11ap0\nOtLpmNLiZlM8T3o9U3us3zRtgKTlwb5vOhtF1wn1+9LtmrLqft+U++oGq9XhWBqJLHB164T1qW53\n+Hm1yXBoR1yeIBlhaipnnnnmqaeeeuzYsXEv+M53viMip59+eo4HBUQUakI5AADZ0SaxsRKCw5xp\n4BeNmfWRlL2CajUze0ZEOh3p9aTRMGdyjUs1MtcloPaz61t0R7pOVQNjGys2m1IqSbcr3a5ZsKr7\n0vd2OuZddhe+b77Yt8+0/NWVwKG5OJZtv2SHpuprNGSt1bg8wXT2LPsAVsOpp55aLpfvuOOORx55\n5Ad/8AdDzx4/fvxzn/vc0572NG+J06ABVauZYWQ6ApyfSQDAWtB4LDbSS5mozIfeLhYnKJ0hc6gf\n1u0tpMlk35dWazgYRmfM2GSp7lcjSRsYu2nMIDCzbYLA9PWtVs0LtJ+w5mO1GZIGtLrZXk98X7pd\n8ylspyX3M7p07/W6+cJ2fuLyBOmRTU3rHe94x7Fjx970pjcdPXrUffyRRx5529veduTIkbe+9a27\ndu1a1uEBI/RWJycBAMC6yCRRmYNMCpuiH1aTyfqIzYhubZm1PpWKyZTKyfa5Gknq3m0MaaNlHVpj\n4+dOx3QM9n3p9Uz+VhO5toLXBqj22DSUHfe5ms3hjBx7E4HLE6THQJq02u12t9v97Gc/u3fv3gsv\nvNDzvFNOOeWee+655ZZbjh49Wi6XX/ayl7mvf9GLXvTzP//zyzraKAbSAACAlaZjWtyK037fZBQL\nWD6qmUPNds4g9GE1+LRb1upcfVm9brKmoZSmrkHtdmVnx8SlUbWaWaeq0azGpaHD0O13OlKpmPyq\nzda6K1Tt10Fgpuk0GlKvS62WamYsEEKYmtbBgwfvv//+9K//T//pP731rW9d3PFMqyhhqv6bvbVV\noNueAABgRdiBorVaTLJuzYQ+rH7R7UqnI/W6iWBLJbNOVceTau+lIJB63cScmsvVlkueZ5owuTW9\nSr+IHWFaKg1fYxO8ugXlRqo6z1bzyb2eVCrDr4GpEKam9b/+1//6/ve/n/71L3jBC37mZ35mcccz\nreWHqXYgt/7DVsCB3AAAYBXMmahMuQstiJ3nvnr6m/MJu7MfVhOqmkfVCFbjzyCQWs2kQ92mvtoM\nSdOh4tRF2wytrkfVPkyaKdVNubpdqddNJLy9Lfv2yfb2ML51M7T2+k7TrZritkng2K5LQALC1E2x\n5DBV/zXVFnJK/z2mCgQAABSJva+uicGp7qvbaHNnJ+3N+YTdRaNcu9C0VjPTYsRZBSoivZ6026Y9\nkhtJ2jSsHmGnM4w/bahph8q4B6BtkDTidT+mjYq1J7AejN2abSNsx9KEOkIBE9FCCblotUZiVDlZ\nF1KQ/vEAABSYjRawaO22icp6PanVhvNI3ZGhsWy3pK0tqddNka3tRTRuI+N2V6+brdkt25ykXZVq\nJ6OKmC+CQOTkclP9QpsDa7ioIaV2RW61TIrVBpb6Yu0S3GyOHED0k9rH7YJYO3tGP7gekn2qUK2Y\nsSrIpo5155133nrrrbt3777iiitE5IMf/OD3vve95LdcddVVuRzaLJaZTW23ZWfH/JMZogspqAIB\nACDOPJm9pVvFfhSlUsy4FE0eJqyuDBWNlUqmRNYtGovdSOzutEzX7WbklqCFLp30jzKarnQno+pP\njtvxyJ2Y2myO7EULgD1PSqVhHrjZHCaEtehXP6neOgl1ZrILX1j31nAAACAASURBVKtV8xOrw29I\npWJqA4zx4Q9/uFwuP+95z9M/nn/++eVJlnvAyZZ5eL4/6HTin+p0Br6f68EAALAigmDg+4Neb/hI\nrzeo1QZBsKwjSqvZHHjewPMGzebA980XxRcEg1ot/qmEa5nBYOB5w78mu5Feb+B5SRsZtzv91oV2\nZ7emPxX2Wf2j7w9/Kno98z13X9bpDEQGnjeo1czRBsFAxLy30xn0egMR86z+p6+3f3H6sycy/KT2\njb4/EBn5u9a320eK/xOLAiKbOtZXv/rV22+//ZRTTnnta18rIjfeeOOjjz6a/JZLLrkkl0ObxTKz\nqbp8PvY2GtlUAADGmC2zt3Sr248i4aok4VomVDTmbiS0wdBGYnenW9PuuKHd2ddH2x1rmtT+UUfL\ndLvhRsEiJrcpJ6fa6IPNpumiZPdbKpkhNKFjc3v22o+j7ZdsxyZN3uqMHFXkH1cU17LjZORkycne\n2JuQpFIBABhj5sze0rmpRSuaWiyghAuThO956Cl3I6ENjnulJir1KX1NmuumXm/QbA6/1faPoZ8c\n93ERk0FtNk1aXnOe+rVu3/dN1jR6AJo1dR/X49RUbehT604L/rOKIiNM3RRLDlNDFSqDkyUpOVSB\n6D/P/BsJAFgpK7piZnWjazXDffXos3YjobLb6EZsha1eKGmlrv4/RK+b0tROJ3yfm01Tyuv+p4W7\ntkg4FHOGPmnoKXt9Zyt73eu7Iv+govjo9DudJ5544uabb7766qsvu+yySy+99O1vf/u11147sRgY\nUquZOhLtVafN47Sj3OLYHclomzwAAAovoR3+zH1Ttfh2oR2DdcJnrJVo8K9XK+63yM6YGUerdt23\n6Ea0/ta2wI1uxNbr6rRSbfOrhbjuK/USplQye5l4OZPwfe52TS9f/U8bEbvTa7Qrb8In1YGoll7f\n1eumXZZ7fTfx+wZMsOw4eZXccccdL3/5y6Odk37+53/+5ptvXvbRTVCUDk+hCpXFWd2+EwAADAaD\nTFfM5NbTaLa62Wm5VbKZs4lN95uW5i3u8di8ZcJGbCuj0O70jbo1u2WbotTPnvzNHPeTo7lQfbu7\nC7tT94ckdguhzkwDJ80baqG0Kn2zUFiEqWnde++9P/uzP1suly+88MIPfehDn/zkJz/1qU8FQfAr\nv/Ir5XL53HPPvfPOO5d9jEmKEqbmZnVXxgAAMBgMslsxk/Od24X2o7AhkBvdLcK099Vjg9uEjcSu\nINVGu9pxV7dmo0f9mG4om/DxY8NmG4XqEtNQFG3b/OpPRcLPXnIYn1s+AmuPMDWtN7zhDeVy+e1v\nf/uJEydCTwVBUC6XX/3qVy/lwFLarDB11VfGAAAwGAxmyuxF5XzndnH9KJZeKTUxi5s+SItej9hP\nZ0N62+Io9AL79oSPP+4nx06v0UjYviY0fiZhC9N+UmA2hKlp/dzP/dzBgwcff/zx2GcvueSSAwcO\nPPLIIzkfVXqbFaauaN8JAADizBMSLOXObSbRdVT+lVI2Ls08ixu9HrGfzu3ApBW5oRcMRrsEJ3x8\n/cnR+t7QTFSNSwcni4HHhfqEo1gWWiil8s1vfvOhhx4677zzdu/eHfuCF73oRSdOnDh8+HDOB4Z4\ni+g7sWly6LMBAEjH86TRCA9QTWkpPY1sQyAR6XRMq545tdumhU+IdgPK/Hxl+zBubUm9Ls2m+L70\nesOP1u+bHkizCTVesp9OH9FnGw3Z3jYPhj6+vZxJ/vjakEln7do+SXb7IlIqmU83rqnlPD97wDwI\nU1M588wzTz311GPHjo17wXe+8x0ROf3003M8qFW26BAo2nRPuf/2Yxw6JAPAGlnindtsI5w84+12\nW7pdE2Br/KYht41L9aMl73TixY7vS71uXqCfLtQdVy9YtPuu+/FDlzMJR9JuS7stzabp0KsBtu9L\ntSq9ntlCJjcRgMwRpqZy6qmnlsvlO+6445FHHok+e/z48c997nNPe9rTPO41TZRbCDRDR3nI6Jm5\n0cjmjjEAYHnW5s5tnvF2qyVBYAJsTWP6fvgAEtKYEy929MF2W2o187WIVCox0/qqVZPItXuPXs4k\nfPxWSzzPhKk6MGZ722xKE60S97MBFMKyq45Xxh133PGCF7ygXq9/5zvfcR///ve//zu/8zvlcvlv\n//Zvl3VsaRRibWrOrQ8WtDJmvdEhGQDWzuJ6GuVsoT2ErdBqXnen2nPI/jF21xMvdmJfoN13x306\nvZxxB8aEXjDug+iO7DHbI9ERMnbUDVBAuwaDwbIj5YL60pe+tLOz4z5y++23f/azn927d++FF17o\ned4pp5xyzz333HLLLUePHi2Xyy972cve9KY3LetoJ9q/f/9dd9215IMolczgapcumOj1FrVTHThd\nrbKuYrJ2W3Z2JAhinqpUpNFYpbvuAABHuy3b29LvS61m6mNqtaKUetr04MSTjH4K93TU70u9LtXq\n2KWVMwid8bpdabXE90cqfvU72e3GnBsnXuyMe0GpZLKmsZ9Ov0v9/hQfv1SSIDBHrvlh3zdH0mhI\nvS5BEP5+AsVBmDrWtdde+653vWuqtyw/Dhxv+WEqIVDxJfxF6Flal+YAAFZT0e7ctlom9tNeQRr7\nJQfPOcTb0TOelu8GgdTr5jxpg8bQiXHixU6/n/QC2/Fo3KdL//E1NPU8c4TaQklf32yKiDSbsrXF\nuR0Ftux0LnKy/KJfhsQUX8JfBPNmAQCZmmclUPopKfrKac9goZOe55kaaXuS1Era6IKYUHmtuxFb\nvjvxamjip9ONJ09wtQW9+ho9+CAYNJtmLdSKFn5jcxCmborlh6mEQMWna1CjpyzuIwAAsrboZghu\nY4ppJ526q3l1qWqzaQaNhjYbun7pdIYrSEMTVvXF818NpfxcuqPQB9HX6zpYWnag4Oj0i7ysTavB\ntWSbEmp3fLcpIR2SAQBZW/QQ1Dn71tdqZmKAng91bGmzGZ4EG+r9qzXVunw0NGG1XhcR0zFY5rga\nSv+5dFM6h0Y/yJEjpqJYRHo95tCg8JYdJyMny8+mDtao1eCaCdVd6R9FBrUaHZIBAIuw6JVAWaVq\ntbw2Of+pNbp6whSJyXB2OgORcKff2a6Gpvpc7o5s8TOXXVgVtFDaFMtvoaSK3GpwYyX0HOz1itJn\nAwCwRhIa883fVzHzpo2x7+p2h02PbI7U96XTMe2LRIYXOyKm0a49whmuhmb4XFx2YXVR9It82QoY\ncYpmsEQJdVfayhAAgKwtdCWQdjOOFSrTTUnrZt2j1QUxukHPkyCQTkd834TferGjp1C92AmCkf3O\ndjU0w+fisguri2zqpihKNhVFwxAaAMAyLG4I6iJStaG0pIagzaZJUWqAqvp98bzwVNVMRu8tNAUN\nFA3ZVGCzJdxYbrW46QoAWJBQmyLbyG/OGFUWk6q1acluVzxPmk1TPau1R+221GrDhTI6H9XzzAk2\nq2aRNKPERiFMBTYbJz0AwJIsriR1XJnunH3rdSVqEEi3azbVaEi7bdaj6n49z2SJ220Tr2bYL39B\nnwsoIMJUYONx0gMALI/nmbRkhhaUqrX9HGwpku3hoHN07PYrFRGRej2zFLFaXAoaKBrWpm6KtGtT\ndebX1hZptM1CK0AAwDrS6xpNcs7PXQKqX7daw2a/uhi11ZIgMINSRRbV4SHbzwUUEGHqppgcprZa\nw/ik2zURC4HKRuGkBwDAeG4TI73Bq9FptSr1unieyalGWygBmBZFvxARkXZbut3huhBdKdLvD6d9\nYRMsou4KAIAVpG2HQ60bNOZst01QWq1KtyvdruzsDF/Q60mvJ1tbw9cDmAHZ1E0xIZtaKkmnE45P\n+n2pVKTXW/ChAQAAFIWWl2mrJLsgRsvL7FO1mvT75gsRaTal2RyWoGU1WQfYZGRT4TQECLHFK4um\nDXty2BEAAMAY2pRIO/T6vrRa4vvD8jJbeRYEJkb1fTM6tdmUbpe2RkCWyKZuiqRsasJM6IRJ0plg\nQSwAACgA20zQlpfpXXRtK6mde93KM9t0sl43lWehDg90pQTmQZi6KZLC1IRYNCGCnZ+eEIJg5J98\nPSFwBxIAAOSoVDKlvEEwfNCuf6pUxPNGnrKi10rchAfmR9EvTi7wj9bc6iMpY9SUhbvuy7Rlu1ts\n7E4im2HjAAAgU7GdhObfZtHO6rr+SXv2utz1T3ZEakjoyoWulEAmCFMhImJmRbtnDD2HhP61jmXX\nYdivo3Fm9GW7dpl/+0NCC2JTbhwAAGTKnoG3tjI7Axf2rK7FurG3ymMfdLVaI5nS9DfhASQgTIWI\niNRqJlKddvl/ynuG0Zf5/thbi/bfcm5IAgCwDO4ZuFbL5gxc5LO6XnrElpfZx6NPSaTybOldKYG1\nwdrUTTFhII0VWv4/UcpJNtGXdbtSr4tIzMAbu8iDMTkAACxDtmdgvbhotwt9VterDz1Uu9ZUr1Z0\nRKrIyFMSN3hmiV0pgTVDNhWjtDAlZYzq3jN0F5qE7hnG3lrUR/r98K1Fe1uSG5IAACxDhmdgW6Gl\n76pUwrWvxTmra1WZRqS2vEzvqGt5WZrKs4Ti3lBtMIBkhKmYg+ZdYxeauP9O68uiNGfr/nPuLogd\n9y5JsUwEAADMKqszsFvlKyJBEF/lO/NZPdtWTDYKtVW+7bbUaqZE2b5Ga5VFhtXLrky6UgIQERlg\nM5TL5ew32ukMRAa+P+j1hg/2eoNabeB5g05n+DLfj9+C5w18f+B5g2Zz4Hnmi4nv8v3hxnWPzebI\nIwAAYFbpz8DJPG94gWC32esNPG/2bSr3qsFeR2RFLyvcS5upBEHMdYrvD4Jg/kMDNgjZVMxBS4JC\nRcKeJ1tb0u8P7xkm3Fr0vLG3JdPckCxsx0AAhZw5ASCN9CnBhHE1ocphu81Qle8MacZFt2Kaav1T\n1MxdKQG4CFMxBz0hRCfZbG+LjJ7fkgfejDshJL9ruR0DuQAHxou9g8RvDOAq+Glk4qC6ieNqopXD\ndpu2yjf98DtX8Se+TKwNBjDZstO5yMlCin61qEWrW0KFu9GCodiXTZTwLreWyIrWEmVuoZVGwOrT\n31r726m/Mbo+gN8YYLA6p5GEM3Do13xwcsWPW9caWzmsb9R/ENJfC4S2UKvFPzVD8TCAwiJM3RQL\nCVODYLgGNbSSY9y5YrYFH9F3Les0lebMDGw29w6S/Y2xd5D4jcGGW7nTSOx5O+WN4tgTsoavMy/+\nTDjJJyypzYr+ZREMAzkgTN0UGYep9s6q/c+9HZrDiWJZp6llpXCBFRG6g+T+xtjfWn5jsMnW4DSS\n/kbxIpoJZdXeaVr2wsdNMgNYHNamFs6NN974O7/zOxdddNEll1zyh3/4h/fff3/0Nbfeeutb3vKW\nX/qlX/q1X/u1d77znUeOHMn1EEOLQj1PfF+6XbModLaFJtNaymAyRrkCk7ir0UK/Mfa3lt8YbKz1\nOI2kH1eziGZCS5n44l742HWnuXXDADbUsuNkDD3++OOXX355uVw+77zzLr300gsvvLBcLv/UT/3U\n5z//efdlf/AHf1Aul5///Oe/9rWvffnLX75///6f+qmf+t//+38nbzzLbKq9FWxvLepCk9jM6uIk\n1BLluccc9gusDvdXIfQb4/6R3xhspvU4jcyQz5xzxEtItknaNHW8a5ADB1YOYWqBXHfddeVy+bLL\nLnv00Uf1kY985CPlcvn8888/fvy4PvK5z32uXC7/4i/+4r333quPfOITnzhw4MDBgwftu2JlFqba\nWp/Q8hr911qrYfKRyWlqqpmry6o0AlaK/W1wf2NCvz38xmAzrc1pJP8bxSGztWUMSVnHS9MmYCko\n+i2Qdru9Z8+ed7/73T/wAz+gj/zqr/7q+eeff//999999936yF//9V+LyJVXXvnMZz5TH3nZy172\n7/7dv/vmN7/56U9/Oo+jtLU+oX7wnidBYB7Px5y1RDPMXF1KpRGwauzMCfsbE1oKwG8MNtbanEYm\njqvJRMJQ1vknvqSv401f5AwgS8uOk2E88cQTP/mTP/ma17wm9LiW+H7iE5/QPx48ePDAgQOhxOnN\nN99cLpf/4A/+IGH7mWVT9WZp7K1FvamY/63FGWqJZu60uIh2EMDasakJXRAgMsxR8BuDDbc2p5FM\n8pnj5NCvKH0d79rkwIHVQja1KE6cONFqta644orQ44cPHxYRz/NE5LHHHvt//+//PfOZz7TpVnXO\nOeeIyL333pvHgerN3no9fGvR3gpOvrW4iHHmOtU72pIiwcyjwRfRDgJYOzY14fsSBOL70m7zGwOI\nrNFpZP585jg59CuaqpfV2uTAgRWz7DgZST796U/v37//Fa94xeOPPz4YDL71rW+Vy+WLL7449LJv\nfOMb5XL5kksuSdhUli2UdFyqe2vRvRU87tZiccaZZ7LKJNt2EMC64zcGCOGXYpwc+hVN28tqbXLg\nwArZs+wwGWPdcsstV1111Wmnnfaud71r9+7dIvLYY4+JyJ494b81fUSfTbB///6EZ++66660R6a3\nfPUmcK1mbm/WalKrjb21aG+N6q3LRsOkVdvtJdxA3t4ee8tXE6ppbo1q9hVAOvzGACEL/aWwK0VX\nLtc3Mc+ZySdKONvHTrWzFz71evjCB8CCEKYuwZVXXnns2DH3kauvvvopT3mK/ePRo0ff8573fPSj\nHz3rrLM+8IEPnHfeefq4G6y69BF9NsEUgaiI9PuyvS1bW/H/itt/sN3gM6F/Qqs1fJnS83OlsoR/\n46c9OwEAsCL0DrCcPNdpWLVCZ7ZM7iRP5Psjnd6shDpeDUr14ih0RQNgEVibugS33Xbbp0Y9+uij\n9tlDhw694hWv+OhHP3rRRRfdfPPNL37xi+1Te/fuFRH3xUof0WczkLIFrj3vVSoTltcUbZw5q0wA\nAOsoh1Wdi5bQJiLbO8mzNSueoRsGgNkQpi7BnXfeedeoZzzjGfpUEASXX375k570pO3t7T/5kz9x\nU6wicvrppz/5yU++5557Tpw44T7e7/dF5OlPf3oGB+ee4hqNCae4lP0Tpm3lvog2SyH5tNIHACBH\nM/cHTClhQkxWcruTvDa9rIB1RZhaIIcOHXrve9/74he/+KabbnrJS14S+5oDBw4cP378y1/+svvg\nF77wBRE599xzMziIGU5xE28tpr81OsMs09lwdgIArJeFli7ZU+XW1mLPz5LjneTFNSsGMD/C1KI4\nceLEe9/73ic/+cl//ud/fvrpp4972Utf+lIR+eM//mP7yH333fc//+f/3L179wUXXDDvQSzoFJfy\n1uhUidz5cXYCAKwRbSgRm+2cM6Gacy1xzneSqeMFimnXYDBY9jFAROSuu+565Stf+ZznPOfgwYPR\nZ+v1+rOe9SwReeyxx1796lcfPnz4J3/yJy+66KL777//Yx/72Le+9a3f/M3fvPLKKxO2v3///skt\nlCoVaTTiS2q6XdMGaTbttumKYDeulUPV6vC0UyrFNCXo96VSkV5vxv0CALABtHNSvy9BINvb0u+P\ndE5KOL2nsazzs/YrqlaJIYFNRKffovjiF78oIv/yL/9y7bXXRp/9pV/6JQ1TTz311O3t7auvvvrW\nW2/V0t8f+qEfeutb33rZZZdlcBCLa4E7sZV7Ph3oAQBrJLkn/eaw2c56XTzPpDrt0Lc5V3Uu8fzM\nICtgk5FN3RSpsqky5o7rnKlU17hbo4tL5AIA1o4du6JhWCh5uGlsttMtXdJsp8aubunStDg/A1gK\n1qZi1KIbF4xbApJbB3oAwIrLuZVBwbnZTndVp5b+zr+qk/MzgKUgTMWoZbXAZZYpACCdRY9dWS2h\noW9uf0D9Ls0ZSXJ+BrAUhKmIWFYLXGaZAgAmWejYlVUUG59rdKoFwPNLPj/nMEwVwAYiTMUYoepc\nPSMt9CzELFMAwCSh5KFrMxOqOWQ7x52fjxzJb5gqgE1DmIpJ7BnJfj3nWSgh4mWWKQAgEUslo3Ko\nRoqen/fty3WYKoBNQ6ffTZG202+INg101wDpqW9ra5YkJ50ZAQBzW3RP+lWkp2s9r9oz7UJPsAw7\nB7BQZFORaLY+FbH5UjozAgCyQCuDqJyrkVghDGDRyKZuilmyqe227OxIEMQ8NW6MWkK+lPuuAICM\n5J88hIthqgAWbc+yDwAFltAiUBOqoROUzZdqLGpvd+/bJyIT7rvS0h7T6vdle1u2tvjhATZQrSa1\nmvlnIHoLFIsWexWgNnaFMIBsUfSL8abtU2ErhG3XJb1waLWkXqczIzKTeVsvAKsp1JMeuWGYKoBF\nI0zFeFOdhew6legaVE2ZZt6ZMeWMnBxG6SBPLHIGgAJghTCAhSJMRaL0ZyE7yS7adUmj0G43s/uu\nKZNp5NzW0mxtvQAAmWLYOYCFIkxFovRnIY0TYnv/aVzh+9ncd02ZTCPntpZoLgkAhcGwcwCLQ6ff\nTTHj3FRL+1RUq0lrgCoVExm62VHb8q/blXpdPG/ezoxux2DbRMfzwh2DaSy8lmguCQAAsAHIpiKd\nNH0qNIh1ay/dfKnmVOe872qTaaGC3kpF+v1hMo2c27qatq0XAAAAVhBhKrKjqdF+P6ZC2F2DOk9n\nRs3oxhb01mrDAMYulI1iEeNKo7kkAADABmBuKjKla1Z1DapbmptV7z8NMvv9cEGv1hL3+yMvc4MW\nWx5Mzm3V6WJpcYJSmksCwEyYPw2gsMimIjsaLWiyVEQqlex7/+mJNFrQq8k0W9Dr5tzc8uB6Xbpd\n2dnJ4EiwLDSXBIC50QsfQMHRQmlTzNtCKZn2+BUx9b3aJKlaTeq6NPMtXD2pun10+n2p14crY3Xt\na7st29vi+9Ltmvkl+jLfl35ftraIalZemrZeAIAIPUO6s730PjPnRgDFQZi6KRYYptrTnciw727C\n6S42pk1fiJvQMTjUBrbdNq8MvYx+vwCADUYvfADFR9Ev5qaFvpXKSN9d/SJq/nGmWvGr7xWnY3Bs\nEx2d6SajjYXp9wsA2FT0wgewEghTMZ922/QuCkWeIiMTYiwdSxPqfjRt911dmtjvDzsGxzbRsRWh\n0cbC9PtFVvRnjys7ACuCXvgAVgJhKuazvS0i8ZGnRBKqWd3CTdlEhxmbWCg6kABYQZwbAawEwlTM\np1pNijyj6U052YA3lIOa9hauVvNGC3pdzNjE4sxfvg4Ay8C5EcBKIEzFfLa3pdsde7rTuFRO5pq0\nDLhSkV27pFQaPt5qzXgLN7ag16VJV/fwmLGJTGRSvg4Ay8C5EUDxEaZiPra4N3q607WjMpp38jzx\nfel0pFYzL9AclCzmFi4zNrEIdCABsMo4NwIoPgbSbIoFDqSpVMx4GHdCjF7Ba1Gu2/m+VBq+WMRM\nMVUL7YIfnbE58+BWIDT6yNXtDof3AkCxMX8aQGGRTcXcqtVhXlRkuGRUi4fcvJO2BXZzTTo3VQPX\n2BxUvy/1egbpKbc8mM43mBMdSACshYlLZwBgWQhTMTdbPKSBnw5Q1eIhrf7d2jKv1KWqWv3b60mt\nJp4ntZrJSoWu+20wubU1NpicYRbIuM43uj6Wck2kQQcSAACARSJMRRaifXdFhotd6nUTZPb74vvm\nIl4zqEEgjYa02yNtgTWD2m6bTdmNu21UZ86IRjvfaBeoZnPqTWGT0YEEAABgYQhTkR1bPORmLINA\nfF8aDbMe1bYFtnkn7TojItvbw+BTA9dKZRgxum1U7fY1MLZ9mCbOAol2vrGb8n3Z2mKsCNKiAwkA\nAMDC0EJpUyywhVKU2zNJRNpt2d4eaZukAWe1agqDdfWpfh0E0u3Kzo4EwbBm2F76a+uael183wS6\ntZpZ4KqPJPdh0rd73rB5kj1Ut/NNvy+VymJbOmFt0IEEAAAga2RTkbVoxlLzTvaRbtfEpUeOmBxU\nt2uCTC3H1Yt+iRtE2WhIpWIi3tD6UpGxfZgszdDaUuFdu4a5XLfzDWNFkB4dSAAAALJGmIqs2SDT\npetLdVWq70sQmFxlpyNBYF5jg1s3NA1FjK2WeU1ofamGChLpw+TSPsO6dw1udRyO1v3KaOebhFau\nAAAAABaJMBVZSw7wNBYNtQXWml4b3IbaqNoN6iM6rzKavNKANqGBjTZPcjvf2Mg22vlmJcaKzNDo\nGAAAACg8wlRkLXlWhw5Z1aymNtdtNk160w1u3WBSI0bbRlUb847bvs68ibKlyG7nm50dczD6eGhT\nRR4rwuhXAAAArC/CVCxAwqwOO13G88z0VA1BNWJst4ftlGwwqWtZSyURkVptmAKNbr/fH5sCdUuR\n3fE5zaYZjRM91HGWnsMcN/qV7sQAAABYC3T63RS5dvoVp7tvrWbCJxthulot86wNFDWHqW+sVk3U\nqtlO7eirX2hs6W5fy4A1+IxyG/mGlEpma8mH6h6tezD51waHGikruhMDAABgXZBNRdY02eh5w4yl\nzfuF2KygLjfVIatuSbBmUG3S1aYNdS/6iG5fv0hIgSaUIqc5VClMDjPaSFnRnRgAAADrgmzqpsgj\nmzptstFmBd30YL8vpZI0m7K1ZdKDsWnDRiNVtta+xQ5u1ZDYPl6vm1LkiXLIYepx6kDXcfSzx74g\nIWMMAAAArA6yqcjItMlGmxUMpQc9T3xftraGWdMQTRumTIG6rYZ0qmqlYhoOlUpm4WvsxMvQAtRF\n5zDTt0RKaKS8Et2JAQAAgEnIpm6KhWdT0yQb3WyhzQpG04OaFRQR3zehb0jKtKGuj3UnrNqCZG0y\nHFryapszRXPC3e4Cc5jjjnNrKz7Nq98xzxtJvZJKBQAAwLogTN0Uiw1T223Z2ZEgiHlKY6qdnXDs\nZzseReMrfYt+0emI74erYTXrOC5utMZFzqWS+H58WCgSHzHqF7FBYEIVbkrTlhNXKiZ/22yOBNIp\nq5cBAACAYqPoF1lwx72ENBomrArVA2utrMa3Wo6rQjNLt7fD1bClkumxlFwcm1ymq9lI90Etpm21\nRmJU+5Qe1bhhrfPEqNOWE2u0HwTi++a9IiY5TIwKAACAePNeuAAAIABJREFUtUCYiiwkL5gUiYn9\nlJ03U6+bwac6s9RW57bb0miY+NYdfOouf9XwMhTRjYucNcyLHq2GhQkRo+eNHQY7j+QIP3qcGki7\no181/o8u4gUAAABWE2EqspAw7qXblVotHPu12yYjqglADbF0Ao3WAFcqwzyhJlRbLanXTbWwbcu0\nvS3drql9DSVXx0XO29vm2VjaDTga9DYa0u9LtTrci+Z47UeY2VQtkaLtpjQtzDQaAAAArBHCVGRE\nQ7hoslHixplqSlBjP80KanpQRJpNkx7ct09832RNdYyqbX2kW67Xh52Q7LRV21t4XOSsBzOuTFdb\nAUuk3a5GjNEcZnJn3diINyQhwo8e57SpVwAAAGAFEaYiI7VafLKx0wmHTzYlaLOFmhX0fTOKRrOF\nNiSzqVeNbDVQbDal3Tblr5qt1ehRN6tiI2cdoDpuzWdoLxr0hiLG6NLWqPQDZsYdZ2w5MdNoAAAA\nsAkG2AzlcjmnPfV6g2Zz0OsNH/H9QacT/mOnM/D98HvdB+3Xnjfo9Uae8v2ByEBk4HmDZnP4Ra83\n8LyR3QXBwPfNs55nvtAH3UPSNwZB+Cm7wSCY4jugG3G/A73eoFZL2kjsccYKHbmK/WYCAAAAq4mB\nNJti4XNTE+hcUDu1xY5F1QEqscNUVaVikpY66sYdVKM0g6olxDpRZns7Ztqq7qJaHaZA9ZB0lIvN\n1upbok/VavGzdsaZdsBMwnFGhb6Z+q56nWk0AAAAWBuEqZtimWGqjIn9bDMkO0xVZCSQa7elXjeV\nvXYjIqZtUrNpQjUb7lYqEgTDaavJWq3h3u0Xtm7WRoxafxs7MXXcJ00eITvP9Bq7C/ebGTpyABsj\nNFIas7HLLPg2AkBxEKZuiiWHqcrGfjaharOOmhLs902nIvti7RXsecOQTJ/Stkn6uI3QKhXzYDSq\nDF3NaaRnx+R0u1Kvm5WxoZzktLFlwuv1U6ePeJOlSb0ihIt6rAv3Ppve5eNu1Qzst7HRGN7949sI\nAEVACyXkyDYf0lDQ86RSMR2GSiURMf2W3P5DmmLVoEKb63qeyVXqFJatreH2NfkZ6jwU281I64Rt\ngKctnba2wg2KYtvtJsuty1GaTk6wpmpqBRSbdnaz7cbdjm9Iz/022j7ufBsBoCDIpm6KQmRTLVsZ\nW69Lu20CV80I2Ka+29vD7rv2NY3GMBMrziiacetIQ1lTccbkhOpybSVtEJi4dOY1n7EJ1WxTqUgQ\nTZmO+zGIJs+BVTDz+ne4+DYCQJERpm6KYoWpGshpOBEKHrRtUrU68pQuUhWnvk1HpGqJr8axIsM2\nSFbsZYjWBkcvQ7Ja80mXo2UZVwfJ1SjWSA7r3zcB30YAKDiKfrEMWhkbqrwVGSZUQ0/VaibFameu\n6oJVDVa1bMv3w+W+9sXRvceOTtUYUuNSW043g3EjZIlRF2pcHaR+86M/Blo0Hv0xAIrNjpSOSlhz\nkD+9O1fY37BV+TYCwMYim7opCpRN1SSqxpChW9l20oxdgGrZWl9NpeoX+rVbEhza2rhb4rqjUOo1\n87pcuhzlaVzKVB/PoakVkIuEH9uCpAFXoi9R8b+NALDhyKYiR24bG5GRVaZysltS9Gv7XjmZbrVL\nUjVLphca0YugibfE3fv8diJBhuhylJtxmXNNuefT1ArIhZ0/HTJDx7dFWJW+RAX/NgIACFORl1BN\npiZL2+1wZazExag6lkYvHzqdYUmniOzbNywDDkm+DKEud50kF/DZHx4XV6NYWfqv16LvsyUbV9Mb\nXcyh9+sKWEZbhG8jAGCsATZDuVxe8hF43qDXG3nE9wdBMBAZNJvDp5rNgcjA8wadjnmk1xv4vnnQ\n90e20OsNPG8wGAw6nfBTKggGvj/clN1aEAz/6O4dK2rcD8BgMPD9Qa024ccAWDX6b5vnDZrNgeeZ\nL/Jh9+gegz2qWi3+XaFfwYJY4rcRAJCMtambYslrU2ObKo6bARMaMyMycmc+tJZIVxFp9WZsZiyr\n/r0ouOQ5QPwYYB3lv/49ebpTwqrOIq8Ep40AABQQYeqmWHKYOu7iZVzwoA1adRlqrSbNpvkiGmB0\nuyayTb784TJk7aWZA8SPATCf5OlO9CUCAGSFtanIxbiVSdEZMCJmpahe0WjnDb1132iYV3a7w3Yc\nrZb0+5PXEtHNaO2lmQPEjwEwh4RWZdofgL5EAICs7Fn2AWAzaLdVexVj6cWLDSRsmyW9DqrVpFQa\nXhN1u+aV29vSasmRIyZYbTZpfQQRkVpNajWTMo1mfADMR+sVYumtSB1frfck3bIG+hIBAKZF0e+m\nWP7c1DQ1maF6Ml3R2miY5Kr7dp1q0+9Lo0GMCgA5SFnTy0pwAMD8KPpFXibWZEbryewyQv3PfXu/\nb5KrxKgAkIuUNb12XKrIcAYZAABTIZu6KZafTbXGtbGJdtiwt+7de/j6dl2wylInAMhRmrIYAADm\nRzYVuRvXxibaZsneutd5M/btW1viecSoAJCzNK3KAACYH9nUTVGgbGqCSkWqVTlyRERka0t8f7jI\nSZsAC7fuAWD5mO4EAFgowtRNsQJhaqsl7bb0+yIivi/d7sisVJHZ23Ho9ZTGvYuW574AAACAdUTR\nL4qh3ZZmUzzPrDjVHpH9vnmw15uxHYctSrNfx45vzUSe+wIAAADWF9nUTVH0bGqpZCp7tYDM5iQr\nFROmzkALhoNgWJSm8/u2trIvGM5zXwAAAMBaI0zdFIUOU9ttqdelVpMgCD9VqUi3K0EgR45MXUlb\nKplh8+67+n2pVCbEvXYaffrdhSa+pt8XAAAAgFEU/aIAtrdFRKrVmKc08KvXRaappNVX6ttD79IR\nrNHBf+4bKxXZ2ppid9GJr2n2BQAAACAOYSoKQNeaRgPCdtv0TOp0pNEwA+P7/WFTpVjttmm/FATx\n74pOvnHfqMtf7Xz6ibsTMf0ux300VqgCAAAA06Dod1MUuuhXThb3djojdba6YNX3Tf8kNbGSVutv\ntXDXvtF9V6UyMpw+9MYZCnd1sqt7kO7nit0XAAAAgDHIpqIYNBvZag1LZO1wmlCiMrmS1tbfamRY\nr0u3axoyiUi3a94YjRvnKdzVrUVfM25fAAAAAMYjm7opip5NlZPNcrVeV0T6fTM3NTp+ZmL2cmfH\nVOpqoCsno039Y6MR0303Ie2ZsLvQwbtb6PelXjd/ZIwqAAAAkBph6qZYgTBV2cznvn2yvT11JW23\nK5WK+L4EgXS7wySqTZN6nlSrMWHq/IW7GqnqxFebCtZIWzO6sSE3AACLZwe9cdcUwEogTN0UKxOm\numLjw4m5zVJJgkB8f7jWVBOb3a4MBklrTWfbXYhbYMwYVQDAsrVapsCIu6YAVghrU1Fg1erIalVx\nJpqOo6fiVktarZi1pppWHbfWdIbdRXmeNBrSbo/EqPZxuv4CAHLk9rBP3zIfAJaObOqmWMlsqkQq\naUUm3ATWjKiGl/pi+y4dhdrpJCVIp93duGPe2ZEgGHt4VFwBAHIxcw97AFiuPcs+ACBRrSa1mqmk\njZ5pozRjqa+s10Vk+C4NEUWk1RobeSbsLv2yHu2llHB4hKkAgMWb2MOe0xGAwqLoF6tAK2Ynxqji\nzIbRM/PWlnmXnQ2TZkhMaHetlpRKUqkMv06u3U0o7k2IkAEAyNT29thlKyxDAVBwhKlYO3aJqf3C\nLjG1xcDJc1BdMyzrcceo6h7166WMUXUPAACwSbhrCmB1sTZ1U6zq2tTZ2CWmMjo61c5iTd/rcLZl\nPe4B2N3JmJGtC0JvRwDYeJn0sAeA/JFNxTqq1Uzas1aTXk96PVMDrF+n73U4cVlPMncajfvHHNDb\nEQAWxo45K75MetgDQP7Ipm6KzcqmRs2WFE1ozJt8L9od2aprg/TrbFsrJnR1WmhvR4bEA9hUtk6l\n0Rg2hi94nUomPewBIGdkU7EBZk6Kzrasx92d240pZQ42jeSuTnMmgWfeLwCsNbdOxVbtFL9OxR6q\nyLDIBgAKjjAVhbG4Zj8z9zp0myG5kpshLbq14sSC3gUdAIXEADZbqyVBMHIPUG9FrsT9uvQt8wGg\nCCj6LZwbb7xxZ2fn7rvvPuOMM573vOe97nWvO/vss90XfPzjH+9Eak3PPPPMt73tbQmbLXTR76Kb\n/SQU6CaU9SotlnJfo2uSqtWxzZDabXMtE93sxN2lMbGgd57PO89+AWB9tduysyNBEPNUJv+0AwBc\nZFML5MSJE2984xt/93d/9+///u/PPPPMb3/723/5l3/50pe+9Pbbb3df9rGPfezmm2/ujPrMZz6z\nrMOeVw45utmSoqpWMw0otMBVS159Pz5Gdetg6/VwTWwmA2nSFPTO83nn2S8ArC9mkAJArgYojOuu\nu65cLl922WWPPvqoPvKRj3ykXC6ff/75x48fty/7t//23/76r//6tBsvl8uZHWi2PG/Q64Uf7PUG\nnpflXoJg4PuDTmdkF74/CIK0W+j1Bs1mzKGGdqEv0K+DYFCrmV1Mu7txQp/C1ekMfH/kYOb5vLPt\nFwDWVMI/dQn/QAIAZkM2tUDa7faePXve/e53/8AP/IA+8qu/+qvnn3/+/ffff/fdd+sjjzzyyL33\n3nvgwIHlHWamcsvRRZOipdLYpGis2GU97npad9GS7m572xQAJ+dgp5Kyq9NUSeAM9wsAa2oRdSoA\ngHEIU4tiMBh84xvf2L9//4/+6I+6j5dKJRG599579Y933333YDB47nOfu4RDXIQ8i6hqNXMd0W6b\nrzWGnE2o5+2uXSa0dnenlcwi0mhk1lox/YVStr0duUADsPGYQQoAudmz7AOAceLEiVarFeqWJCKH\nDx8WEe9k/KNtkJ72tKf98R//8T/90z/t3bt3//79l1566VlnnZXv8WZEY9HYICfzHJ1dBKvfzEbD\nXF9o1JosNCk0uqlKxaynDW3K8yQIpNXKII9q6YWSyEhXp3EXSpoEzn+/ALB29B/yVkvq9ZEZpBn+\nAw8AUHT6LbTPfOYz//E//sdzzjnnpptu2r17t4hcffXV11133ZOf/ORjx455nnfPPfc8+uijZ5xx\nxgc+8IFf+IVfSNhUcTv9xnZITOhVO7PZGtXGdiFut8Ob6nalXheRmE0togVk8rD2UFCd234Ra3F/\nHQCWRH+tq1XmuwDAohCmFtctt9xy1VVXDQaDIAjOO+88ffA3fuM37rjjjre85S31ev200047ceLE\n//gf/+P973//2Wef/fGPf/z0008ft7X9+/cn725pQewME19m28sMkwT02NwxeZo/FInZVKViUqzu\nphYRb1vRC6VFj/YZt1/EyuevAwAAYO0Qpi7BlVdeeezYMfeRq6+++ilPeYr949GjR9/znvd89KMf\nPeussz7wgQ+8+MUvtk898MADjz322DOe8Qz37VddddVNN9307ne/++KLLx630+JmUyWXHF1CLJoQ\nScYmYLW+N5o11ZWunjfcVJp4O8NU27igemuLirQl4K8DAABgVoSpS/DCF77wkUcecR/pdDo28jx0\n6NA73/nOBx544KKLLvov/+W/uOHrOLfccsub3vSmer3+tre9bdxrCh2mqoXm6BJi0XER7LgEbLcr\nlUo4a6pKJfG8tPF25qm22aqasSD8dQAAAMyKTr9LcOedd941ysaoQRBcfvnlT3rSk7a3t//kT/4k\nGqM+8cQT0TsLWuv77W9/O4eDX6DYiS9ZmaFR7bguxL4vvh/TIrjbNanUNM11bRMmfY2+S5swzSa3\n0T5Ig78OAACAORCmFsihQ4fe+973vvjFL77pppte8pKXRF/Q7/cPHDhwxRVXhB7XNOmP//iP53GU\nqythkoA7/tSaOBFn3FCCNPG2O2RV6btmHpCT52gfTMRfBwAAwBwIU4vixIkT733ve5/85Cf/+Z//\n+bhOSPv27XvqU5966NChr3zlK/bBhx9++JprrtmzZ8+FF16Y18GuplrNRKql0nDqqRYD2/Gn+pRK\nTsBGN+X7adccLiLVlhD8ZD7aBxPx1wEAADAH1qYWxV133fXKV77yOc95zsGDB6PP1uv1Zz3rWSLy\nyU9+8rd/+7f37t17ySWX7N+//7777rvuuuseeOCBN7/5zW984xsTtr8Ca1NzYxfBdrsTmtxM7EI8\n23ra2fo5zbbZhbYaLrjlToLhrwMAAGBWhKlF8Vd/9VfveMc7xj17/fXXv/CFL9SvDx069L73ve9r\nX/uaiOzates5z3nOVVddNTGVuolh6sQoJU2Tm3m6EI87gBn6OaWRz2iflVCESTD8dQAAAMyKMHVT\nbFaYmiZKmWqS6rRZ04QDsOtggyD7VFsOo32KrziTYPjrAAAAmAlh6qbYoDA1TZSiKdNGIz5umTNc\nHHcAcnJda6MxjF5s0JJhqm2ho32Kr2iTYDb8rwMAAGB6hKmbYoPC1OQoxeY5fV/abfG8mATXPJW3\n4w6g3ZZ6XXq94ePttoldSbVlaKokOQAAAAppz7IPAMhUchPdel36/WEM2e9LtSo7O9JuD3OYCZNU\nXePWnY47gFZLPE/6/eFTtZr4vpRKIhIT1uZjuU2GFkGXg8bS7rtr80kBAADWFwNpsF6S51W22yO1\nuNWqCdLs7BB3/Ok4dgKNRGbYjDsAjV2DIDykxPPE92VrawkxavKnWF1MggEAAFh9hKlYL8lRSq02\nEhDqJFVdJlqvpxp/2m5LtyudjvR60mhIpyOdjvT7pmp33AFo7BobJiUc8OJM/BSrK3naLalUAACA\nVcDa1E2xQWtTx82rrFSk0xk7rbReT1V5m6Y9T/QAdPueF9OWaSkLJtN8itWtB2YSDAAAwIojm4q1\no3lLN5+mpby1WlKi1S0GHid54avdY/QA9C3RYuClpPgmfopVrwfWJLk98jRJcgAAABQJYSrWzrgo\nRbu/zlMOmrzw1cZy4w5gezsmeE5eB7sIyZ+iUlmHeuBazRy5yPCzAAAAYEVQ9LspNqjo14rOq5yz\nHDRhnmps7W7oAHTvOi41NIEmzwrb5E/R7Y5MzVFLHDoKAACAzUM2FevL86TRiOmZNHM56LTteUIH\nEJviy7/CNuFTdLvhLlMqVNUMAAAALBJhKjbMnOWg4xa+hspo9cFxcV2/L/2+yPI67o77FBK3gFYt\npSMxAAAANhJFv5tiE4t+FyShdldEWq3hg92ueZk+a59qNMwW+v2lVdjGfgodIZu+qnmhbPy/cq2G\nAQAAMB+yqcCUEvKxCdlR9yndgr4rmnHNp8I29lMUZOioLYTWsHnlWg0DAABgPmRTNwXZ1DwkzCMV\nCT9VqZji22jiNKHL0aItfeioHoA7H0jTqltbTJQBAADYEISpm2KzwtQ8G+da7bbs7JixNyGVinhe\n+CmNRUViimnzr7B1JVc1L1pCqE+rYQAAgM1A0S/WS/6Nc62EeaQipmeSS6NQ3w8fYc4VtlFLHDra\nbovvZ9BqOLmFFQAAAIqNMBVrZFmNc9UMvXCrVWk2RyLS2L7BSxEd55ODhFB/4rdXv3VLvE8BAACA\njBCmYo20WiNrGuVkrJVPoJLcfyj2Kc8T35dud8Y5ruOsbi4x4S+r1Rqb1LXfum53pEo55/sUAAAA\nyAhhKtZFVvWi80iYqprwVIYVtqueS5yh1bCbQu/3w6FpnvcpAAAAkBFaKG2K9W+hlNB2KM/GuQn9\nhxbdmmi2HrlLaTeVYNpWw7blktvCKtRyabktqQAAADAlwtRNsf5hakIsmn+UorFftRqT3U14ak7T\n9shttYbRcrdr4ufcuiUlSB/Pu6Fp6G/Z/eMSB/wAAABgehT9Yl3MUC+6OLH9hzS32e8vpDXRtDXP\ny203lSx9q2G35VKouNf9Y8K6VgAAABQPYSrWSML6z+XKYcnotD1yl9tuKo00rYbdAw7dp7Ch6dIH\n/AAAAGBKhKlYI7WaiVSzbZw7p3zyltEI0/b7bbXCQVoR2k1lIhSa2vsUNjQtyH0KAAAATIO1qZti\n/demuha3/nMG0y4ZnZldjamLTvv9kWc9b7jCsyDtpjIRarnUbpvKao1RJes+VQAAAFg8wtRNsVlh\nanG4PX5CMm/spAGbDmLV/2uKVQM2z5N+33T9LVS7qfnFtlwSKcp9CgAAAEyJMHVTEKYuR855y3Zb\n6vWR2ExziZq87XSGKVx7YO5AmpVLpboKlUIHAADAHFibCiyS5jPtMlGX9viJfWoeGpd63kiPXF10\nqjlV3ZddxOs2dtLxpCsqTcslAAAArALCVGCRdnak243p8attfur1jNv/ajpR12qGAjYNmEOdluxr\ndBknMR4AAAAKgKLfTUHR7xK4i0VthW2rNUxpuiNh9CldOzozrdrVWDRUu6tVvvqs7w8bO7m1soto\n7AQAAABMac+yDwBYXxorep7s2yetltTrpn2Rpi57vZixpZXKXGGqtvlV2kjJfu2+xh1Io/u1x6Ah\n9Gq1UAIAAMB6oegXWAw3FDxyZDgeRh9Z3NhSXXQqMlzyqnlajWB16ammT2NF568CAAAA+aLod1NQ\n9Js320pXS3/d+t5KRbpdCYKYxGmo167bhjcNnZgqEhPuunNT12wgDQAAANYL2VRgMWxastUaiVGV\n58UnLXXtqEhMG96JSc52W7pd0+BX/99sSq0mvi+93rDrr4iJQqNpW31kXWPUzJsqAwAAYDEIU4HF\n0GCvXg/X92qYpP2KQiGTjRLdgLPRkCAwfZg0UzpOKB7WRac68yZaYKy1we4BaBS3ugNpEswQ8yMB\nAT8AAFgwwlRgYapVabdla2v4iA0FtbOuGyy5UaINOG18pXFmqzU2vnKXwrrGrXet1YajU+1efH+u\nBk7FFIr5Ox3pdKTfnxDzIxYBPwAAyAVrUzcFa1OXo9WSZtOsC9W4yC4QLZVMTjX0VLstOzsSBPGL\nWvt9aTRigsmENaUJK1FFRgbSrCU7esfF6J0ZRH8gM5miBAAAEEGYuikIU5emUpFqVY4cGQkFbegY\njRJtwBmNr7pdqddFJCa+yrYr0rStmwrLxvxRNIuaFgE/AADIC0W/wIJVqybkC+WgtL5XV5C6l/7a\neym2iNcWA0eLeLPqirRmVZ2M3snKtFXlAAAAcyBMBRZs2lWgtvdSKL6yAee4+GpiV6SJnW/Wbxln\nQixqmyojDQJ+AACQI8JUIFOxoWCtZkI+kWEQmGBig6XYtyfEwylzpNHZOZrsXd0gZDNH7ywCAT8A\nAMgRYSqQkYmhYLS+dxztpdTvxwScyfFVbDycMke6rlWdGzV6Z3EI+AEAQI5oobQpaKG0WItogtpu\nS6slnjfcbL9vioGn2mbKzjcz9wouPv3biTZVxlT02+j+kMz2AwkAADAJYeqmIExdrAU1QZ05vrKt\nevv9tK1us+0VXEBrP3onBwT8AAAgFxT9AnNbULlsvy9HjpgyXUm3qFUitcf1+tioLLTacO2rOtMX\nXWOcaVdZAwAAzIQwFZhb5k1QQ6GmfpEmvopdhtpsxrfqjXa+YRkn0iDgBwAAC0aYCswt2yao80yF\nibbq9X3x/ZjDi82RTjs7Zz3oAsvV7REFAACwdghTgbllWy4781SYcbXH1Wo4yk3IkW5UVacNxbe2\nkub0AAAAIF+EqUAWsiqXnWeZ67ja41pNmk2p16fIkW5CVaebtbbBecqsNQAAABaJTr+bgk6/C5dJ\nE9R5psJMbNXrebS6HVpQc2YAAADMjWwqkJFMymWjxb2aldX/kjc4sfY4lCPVLeewJjO3HaW3oObM\nAAAAyAJhKpCpOctl3VBTC3RLJWm3TYVqvT5h8WTK2uNQJ+HFrcnMbUfTyrw5MwAAALJDmAoUjIaa\nrZY0m+J50uuZ2tRmU3x/7HQZlaZV7zydhKcy/44W14M32+bMAAAAyBRrUzcFa1NXSbst9bqISK1m\ngjRd5trvS6lkYtdk/f7YZai5rcmcZ0etlolmG43hit9so8fYZcATFwADAABg8cimAkWliyfdZa6e\nJ74v/X7aBGO/H34ktzWZ8+wonx68WTVnBgAAQNbIpm4KsqmrpFIxcVq05W+3a+p4fV+2tmJeYPOQ\nmokN5SHn6SQ87UeYeUe55Xszac4MAACArJFNBYpHI6XYxZP6oKZJo02JJi4HXeiaTLej78w7yrMH\nbybNmQEAAJA1wlSgeDRZ2u2GS1K1n5Dvj41CWy0JgpEYTzsP24hx4tCa2UQ7+u7szLij/Hvwztmc\nGQAAAFkjTAUKIDpZVEM1fdCdTGNfrNwoNGUeMvM1meNSuPb4p9oRPXgBAAA2HmEqsFTjJovWahIE\nIiKVijSbJurTsTShDKqNQsflIft98bxh7JdmaM20HyE2hdvvz7KjBeV7AQAAsDpoobQpaKFURNrC\nx43xNN+4tTWM5Uol83W3O2xKFOonpBlXzUO6rYlsO6V+37QIdlsEJQytmeoj7OyYiDrEdlGadkf6\nbXE7MGnBc7U6eywNAACA1UGYuikIU4toYktbGwRq+NrvD6NQt5Wu/dp90MbA+l7NwYZi4PktqHUw\nPXgBAAA2GEW/wJKkWUq6vS0iplzW86TfNwW0bh2vWw3rrjvVWlz9QouBQ+2UZmDbOFkLWkpKD14A\nAIANRpgKLEmalrbV6kh3Ig3Vmk2pVEyOsVQy1bDKrjvdtUtEpFIJLwedeayLXVy6tTWyhnahS0np\nwQsAALCRCFOBJUmTh3SnpCrPG1mxqY+4NA+pI21i85AzJFTdXr42z2nbOGXeOngNRFs3AwAAIDXW\npm4K1qYWUezCTrukUxembm0N+wnpWlZ9o++bTGOonVJoIyl3mizNGlqWkirbtqpWk2433LYKAAAA\nKZBNBZYnOQ+pVcHj6nh1eaqMqePNsBY3zRpalpKqcSNk7fQgAAAApEA2dVOQTS2ohDxkKCOqXZQ0\ngxrKiMbmTrMa67KgXr5raWLaGQAAACmQTQWWKiEPGcqINhomgxrNiMb21LVpWG13pA2Q3HZKKS2o\nl+/6SZN2BgAAQAqEqUABjGtp61YF22mooe5ECXW1UWXhAAAgAElEQVS8mdTiLrSX7zpJ07oZAAAA\nKRCmAgUWyohq1a4+rtL01J1/rEvyGlq62irSzgAAABkhTAWKLZQRDQIRmbeO9/+3d//hVVf3HcBP\nSEr4EWDhh4pUBWEgtFultptPpfxQCvKwjTqeDixSg0G0zlp18LTaTIyolSIDtmKZQgkOHMLYFIVn\nrBBAVxRxUCZkiPwIkwkooGYUFmKS/fGl15jEECA/vrl5vf7innty77n3POHed87ne855jKHa+uED\nB878O4RP7222LDsDANQRWyg1F7ZQSiqFhWdKTC9kjfQCnzfaomnhwk/HEC2rDhpU77E5tupq2yoA\ngOZNTG0uxFTqmF1tE6L0PmhQGDy48tbNhYXh4YdV/AIAnBNFv5Ck6vWSUbvaRhIl0Il/Hzjw6WZX\nWVlngmtzroUGADh3YioknarZqc5jkl1tQwh5eWHDhk+3UI4uIS4srL4xOhQXAIBaUPTbXCj6baoq\nFpTWRsNcMrphQ8jNPbOxUyVDhnzm4swkVm3Zc48eIYTKZc/NsxYaAOB8WU2FuDq/RdHc3M9k1PC7\nA2nqdoXzwne1berH2FRb9pxorPS6mlstNADAhRFTIZY+r6C05trRhrxktObDVGvQADXJDaDasueo\nsdo/CjSfWmgAgAum6Le5UPTbxJzfPro1FNzWUKZ73irtahtCyMo6y662SXOMTbXvZ9QYQjWz0Hxq\noQEALpjVVIif814UrWHJLje37o9Fyco6s8wbwqcLvzWr75rkBqslrrbsOZFCK8XR2tdCAwAgpkIc\nnfc+uhd+yeh5iHJm1VBdVb3WJDd8LXG1Zc+R86iFBgDgd8RUiJ8LWRQ970tGz0lhYZgw4ZzXLevv\nGJvzu5T3AmVlnXm3o0gcheTBg6tvbFolzQAAjcq1qc2Fa1ObmEqXMkbH0lxxRVi06OzXl57HJaO1\nl5sb8vJCYeGnS6Ddu9f28evvGJvzu5S3rkSzc+utnxlA9NeBEMKttyr3BQA4J1ZTIZYSi6KJFblo\nATMRfmpwHpeM1lJeXnj44dC9e9i/P+zff+bBBw8ODz9cq3XLeqpJbsj9jatVtew5NzcMGXImwzfd\n3YwBABqJ1dTmwmpq05OXF3JzzyyKRlkrUWXaWPvi9ugRCgvD/v2Vlw179DiTXc8qWumttFA8YUK4\n9dbzf0UNvL/xWSXNbsYAAI1ETG0uxNQmqUePsHBh2LjxMwWl9V3LGpWwDhpUOfjl5YUJE0JWVli4\nsPKPRCuH69fXakW0zmuS66+W+Pw0bgUyAEDTp+gX4iqqZR08uHJBaf3Vsta8We6iRSGE6vdAikJm\nLeta67wmuVH2N/48jV6BDADQ9ImpEFf1ty9utc66WW4NWTRqPKe0WftjbKqK6oQrRr6G2d+4Nhp4\n1gAAkpGi3+ZC0W/T08C1rLUpVa22uHfDhjNnrjTAJaDRPsMhhKlTP60cjuJxve5vXHtxq0AGAGiC\nrKbGS2lp6bPPPnvnnXcOHz583LhxP/vZzz744IOq3dauXXvvvff+yZ/8ydixYx966KEDBw40/FCp\ndw1Zy1rLUtVonbDiumXFY1fqW8X13kTlcGK9t/72Nz4nsapABgBomqymxsgnn3ySlZW1ZcuWTp06\n9ezZ86233jp16lTbtm1XrFjRo0ePRLfHHnvs2WefTU9P79evX1FR0b59+9LT0+fOnTtgwIAaHtxq\napNUH/viVqv2m+VGQ4qOWonGU/tzUy9QU9maqMFmDQAgSYmpMbJo0aLHH3/8pptuevTRR9PS0oqL\ni2fNmrVw4cJrr712UbR7TQibN2/+3ve+d/nll+fl5XXr1i2EsGbNmvvuu69Lly5r1qxp1arV5z24\nmNpUNUwt67mWqka7AYfwmS2I61VeXti4sZpNhkMsi2ljUoEMANA0KfqNkRdffLFNmzY5OTlpaWkh\nhPT09EmTJrVs2XL79u1lZWVRnxUrVoQQJk+eHGXUEMLw4cNvvPHGw4cP//rXv26skVOPGqaW9VxL\nVaMNkM57D6Tz0LS2JopJBTIAQNMkpsZFWVnZsWPH+vfvn5GRkWjs2LFj+/btW7ZsmVj03rx5c2pq\n6qBBgyr+7A033BBCeP311xtywDSoC9kXt5bis1lutWrIorm5MQ2BDTBrAADJSEyNixYtWmzcuPGX\nv/xlxcaXXnrp6NGjQ4cOTU1NDSGUlJS8//773bp1q1Tc27NnzxDCwYMHG3LAJJusrDNJNTouNTpA\ndfDguFxOaWsiAIBmI62xB0A1duzYsW7dup07d77yyivDhg3LycmJ2ouKisrKyjp06FCpf9Ty8ccf\nN/RASTJZWSEr68x1p1U3K2p0UYoO4TNbE8VnvRcAgDoipsbR9u3bFyxYUFxcHELIzMwsLS2N2ktK\nSkII0ZWrFUUt0b016NOnTw332mCJM6JS1QsXxd1Bg+psqTNa183NDRMmfGZropis9wIAUEfE1EYw\nefLkKIImPPLII5mZmYmb48aNGzduXFFR0fLly2fOnJmfn79y5cqOHTsmSn8rPWDUEt1bA0GUBpKb\n+2mGTKTKOom+MV/vBQCgLoipjWDdunUnT56s2PLAAw9UjKmR9u3bZ2dnHz9+fP78+a+++uqoUaNa\nt24dQjh16lSlnlFLdC80sry8sGHDpxly6tQzpbl5eXW27FlX670AAMSSmNoItm3bVrWxoKBg6dKl\nAwcOHDp0aMX2QYMGzZ8/f9OmTaNGjcrIyGjXrt27775bWlpace20sLAwhNC1a9d6HjjUQnT+asV1\nzihVDhmiOhcAgNqw029clJeXP//883Pnzq3Ufvz48RBCp06dopt9+/Y9ffr0zp07K/bZunVrCKFf\nv34NMlL4fHl5YfDgampxu3cP3btXs08vAABUIabGRc+ePTt06FBQUFBQUJBoLC4ufuaZZ0II11xz\nTdQybNiwEMKMGTMSfQ4dOvTcc8+lpqZef/31DTtkqGLRos/dd7eGg08BAKCClPLy8sYeA2esXLly\nypQpGRkZt9xyy5VXXnn48OFly5YdPHhwxIgRs2fPjvqUlJR8+9vf3rNnz5e+9KWRI0ceOXJk1apV\nR48evf322ydPnlzDg/fp08cWStS7DRvOFP1WNWRImDrVAacAAJyVmBov+fn506dPj641DSFkZmZO\nnDhx/Pjx6enpiT5Hjx595JFH1q5dGx1U07Zt2zvvvDM7O7vmnX7FVBpItXG0hvgKAACfJaY2F2Iq\nDSQvLyxa9JmkWlgYJkwIt95qCyUAAGrDTr9AnYqyaOK41MQBqjIqAAC1YzW1ubCaSkMrLDyzo1LV\njX8BAODzianNhZgKAAA0CQ6kAQAAIEbEVIBzVFgYcnPDhg2NPQ4AgOQkpgLUWm5u6NEjDBny6b9z\ncxt7TAAAyUZMBaidvLywYUNYvz7s3x+mTg3r14f160Nh4ZndjAEAqCO2UGoubKEEF6pHj7B+feWN\niwsLw5AhYf/+xhkSAEAyspoKUAt5eWHw4GoO1+nePXTv7jpVAIA6JKYC1EJ0Bmy1pk51hSoAQB0S\nUwFqoYYsmpsbpk5t2NEAACQzMRWgFgYPDiFUU9wbtUT3AgBQF8RUgNq59dbKx6VGB6h+XjEwAADn\nJa2xBwDQRGRlhRBCbm6YMCFkZZ05hyYr60w7AAB1xIE0zYUDaaDOFBae2VGp6sa/AABcMDG1uRBT\nAQCAJsG1qQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECM\niKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAA\nxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoA\nAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIip\nAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSI\nmAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABA\njIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAA\nAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgK\nAABAjIipAAAAxIiYCkmiT58+jT0E6p1ZTnqmOOmZ4ubALCc9U9wAxFQAAABiREwFAAAgRtIaewB8\nRmlp6ZIlSzZt2rR///7OnTt/5StfmTBhQpcuXSr2Wb169fr16yv9YKdOnX784x834EgBAADqhZga\nI5988klWVtaWLVs6derUs2fPt956680331y6dOmKFSt69OiR6LZq1ar8/Py2bdtW/NlLL720wccL\nAABQ98TUGFmyZMmWLVtuuummRx99NC0trbi4eNasWQsXLnz44YcXLVqU6Pb2229/9atfXbJkSSMO\nFQAAoJ64NjVGXnzxxTZt2uTk5KSlpYUQ0tPTJ02a1LJly+3bt5eVlUV9Tp48efDgwb59+zbqSAEA\nAOqL1dS4KCsrO3bsWP/+/TMyMhKNHTt2bN++fUlJSXl5edSye/fu8vLyq666qpGGCQAAUL/E1Lho\n0aLFxo0bKzW+9NJLR48eHT16dGpqatTy9ttvhxAuueSSGTNm7Nixo3Xr1n369Bk/fnznzp0besQA\nAAD1QEyNox07dqxbt27nzp2vvPLKsGHDcnJyEndFMfXee+8tLi7u3r37u+++u379+ueee27OnDnf\n+MY3Gm/IAAAAdUNMjaPt27cvWLCguLg4hJCZmVlaWpq46+23305JSZk4ceKECRPS09NLS0uffvrp\n2bNn//jHP169enXFguGq+vTpU+9Dp1GZ4ubALCc9U5z0THFzYJbhAqUkLnqkwUyePDmKoAmPPPJI\nZmZmpW5FRUXLly+fOXNmx44dV65c2bFjxxDCBx98UFJSUun4mSlTpqxcufLxxx8fPXp0fQ8eAACg\nXllNbQTr1q07efJkxZYHHnigakxt3759dnb28ePH58+f/+qrr44aNSqE0KVLl6oPOGzYsJUrV77z\nzjv1N2YAAICGIaY2gm3btlVtLCgoWLp06cCBA4cOHVqxfdCgQfPnz9+0aVMUU8vKylJSUlJSUir2\niWp9jx07Vp+jBgAAaAjOTY2L8vLy559/fu7cuZXajx8/HkLo1KlTCKGwsLBv3773339/pT7Rvkq9\nevVqkJECAADUIzE1Lnr27NmhQ4eCgoKCgoJEY3Fx8TPPPBNCuOaaa0IIV1xxRceOHfPz83ft2pXo\n89FHHy1YsCAtLe1b3/pWww8bAACgbtlCKUZWrlw5ZcqUjIyMW2655corrzx8+PCyZcsOHjw4YsSI\n2bNnR33WrFlzzz33tG7d+uabb+7Tp8+hQ4eWLFnywQcf/PCHP7zrrrsad/wAAAAXTkyNl/z8/OnT\npxcWFkY3MzMzJ06cOH78+PT09Ip9nnzyyb1794YQUlJSLr/88ilTplhKBQAAkoOYCgAAQIy4NhUA\nAIAYEVMBAACIETEVAACAGBFTAQAAiJG0xh4A9aK0tHTJkiWbNm3av39/586dv/KVr0yYMKFLly6V\nuq1du/bll1/es2dPRkZG7969s7Ozr7jiikYZMOfhhRde2Lhx4+7du9u3b//lL3954sSJF198caU+\npjg5fPzxxzfddNNtt912yy23VL3XLCcBk5iU/OYmN5/Cyc136UZnp98k9Mknn2RlZW3ZsqVTp049\ne/Z86623Tp061bZt2xUrVvTo0SPR7bHHHnv22WfT09P79etXVFS0b9++9PT0uXPnDhgwoBEHT22U\nlpb+4Ac/WLduXUZGxpe+9KXDhw8fOHCgVatWCxYs+NrXvpboZoqTxsyZM59++un777//jjvuqHSX\nWU4CJjFZ+c1NVj6Fk57v0rFQTtLJy8vr3bv3j370o5KSkvLy8v/7v//76U9/2rt37+9973uJPq+/\n/nrv3r2HDh168ODBqOVf//Vf+/btO3DgwFOnTjXOuKm1JUuWRH+xS0zWsmXLevfu/c1vfvP06dNR\niylu6j755JP9+/dv2LDh3nvv7d27d+/evefNm1epj1lOAiYxyfjNbQ58Cic936XjwLWpSejFF19s\n06ZNTk5OWlpaCCE9PX3SpEktW7bcvn17WVlZ1GfFihUhhMmTJ3fr1i1qGT58+I033nj48OFf//rX\njTVyaikvLy8tLe3xxx9v1apV1PKd73znm9/85pEjR3bv3h21mOKmbt++fcOHD580adLq1as/r49Z\nTgImMcn4zW0OfAonPd+l40BMTTZlZWXHjh3r379/RkZGorFjx47t27dv2bJl+e9qvDdv3pyamjpo\n0KCKP3vDDTeEEF5//fWGHDDnqry8/L333uvTp89FF11UsT2qQjl48GB00xQ3dV27dv3b35k4cWK1\nfcxyEjCJScZvbtLzKZz0fJeOCVsoJZsWLVps3LixUuNLL7109OjR0aNHp6amhhBKSkref//9L37x\ni4m/AkZ69uwZKvwPSzyVlpbm5uZW3adhz549IYTu3bsHU5wUMjIyhg8fHv07+mtuJWY5CZjE5OM3\nN+n5FE56vkvHhJiazHbs2LFu3bqdO3e+8sorw4YNy8nJidqLiorKyso6dOhQqX/U8vHHHzf0QDkX\naWlpo0ePrtS4adOm1157rVevXr169QqmuHkwy0nAJDZDJr2p8yncrPgu3YjE1GS2ffv2BQsWFBcX\nhxAyMzNLS0uj9pKSklDdX3mjluhempBf/epXU6ZMSU9PnzZtWuKPfMEUJzuznARMYjNk0pOPT+Ek\n5rt0IxJTm7DJkydHvzYJjzzySGZmZuLmuHHjxo0bV1RUtHz58pkzZ+bn569cubJjx44V/w+tKGqJ\n7iUOzjrFRUVFP/3pT//5n/+5c+fOc+bM+epXvxq1m+Im5Kyz/HnMchIwic2QSU8mPoWTnu/SjUhM\nbcLWrVt38uTJii0PPPBA1W+37du3z87OPn78+Pz581999dVRo0a1bt06hHDq1KlKPaOW6F7ioOYp\nzs/Pf+ihhz744IORI0f+9V//dcWpN8VNSC1/kasyy0nAJDZDJj1p+BRuPnyXbhRiahO2bdu2qo0F\nBQVLly4dOHDg0KFDK7YPGjRo/vz5mzZtGjVqVEZGRrt27d59993S0tKKf+8pLCwMIXTt2rWeB05t\nVTvFkYULFz7xxBPdunVbtGjRtddeW+leU9yE1DDLNTPLScAkNkMmPTn4FE5ivkvHhANpkk15efnz\nzz8/d+7cSu3Hjx8PIXTq1Cm62bdv39OnT+/cubNin61bt4YQ+vXr1yAj5fzl5+c/8cQTX/va11au\nXFn10zFiipsDs5wETGIzZNKbOp/Cyc136ZgQU5NNz549O3ToUFBQUFBQkGgsLi5+5plnQgjXXHNN\n1DJs2LAQwowZMxJ9Dh069Nxzz6Wmpl5//fUNO2TOTWlp6RNPPNGuXbu///u/r3iiVyWmuDkwy0nA\nJDZDJr1J8ymc9HyXjglFv8mmVatWOTk5U6ZMGT9+/C233HLllVcePnx42bJlBw8eHDFiRHTocAhh\n7NixS5cufeONN/78z/985MiRR44cWbVq1cmTJ2+//fZLL720cV8CNduzZ8+BAwcuv/zyWbNmVb13\nwoQJX/ziF4Mpbh7MchIwic2QSW/SfAonPd+lYyKlvLy8scdA3cvPz58+fXpUHx9CyMzMnDhx4vjx\n49PT0xN9jh49+sgjj6xduzbaXLtt27Z33nlndna23clibvny5Ylju6paunRp//79o3+b4qSxbt26\nu+666/7777/jjjsq3WWWk4BJTFZ+c5OST+FmwnfpRiemJrOioqKDBw926dKlS5cun9enpKSksLCw\nbdu2Xbt2TUlJacjh0TBMcXNglpOASWyGTHpzYJabNN+lG5GYCgAAQIzYQgkAAIAYEVMBAACIETEV\nAACAGBFTAQAAiBExFQAAgBgRUwEAAIgRMRUAAIAYEVMBAACIETEVAACAGBFTAQAAiBExFQDqzDvv\nvLN48eJt27Y19kCqt23btsWLF7/99ts1d4v5qwAg6YmpAHCeXn755QULFhw/fjzR8uabb06bNm3t\n2rWNOKoa5OfnT5s27Y033qi5W8xfBQBJL62xBwAATdWSJUu2bt163XXXdezYMWpp0aJFy5YtU1NT\nG3dgFyg5XgUATZeYCgB1ZsyYMWPGjGnsUVyo5HgVADRdin4BSHIlJSWHDx8+a7ePPvrowIEDH374\n4Vl7njhx4lzHcOLEiQMHDhQVFdXJAE6fPn348OHy8vILeboQwrFjxw4dOlTD41Srlu8nAJw3q6kA\nJJt//Md//MUvfnHbbbf94R/+4aOPPrp79+6SkpLMzMz+/fvn5OR069atYucPP/zwF7/4xb/8y78k\nQt3ll1+enZ09duzY6OaTTz65cuXKv/u7v+vWrdvPfvazLVu2XH311SdPnvyv//qv6KrU2267LS0t\nbcyYMX/5l3/5wgsv/M3f/M3NN9/8/e9/P/rxF1988ZlnnnnnnXeim5dccsmYMWPuvPPOFi1a1HIA\nIYSnn3568eLFjz/+eJs2bWbOnPnWW28VFxe3adNm5MiRDz74YJs2bRI9z/p0kTVr1syaNWv//v0h\nhKqPU+lVnNP7CQAXTkwFINn89re/PXLkyIYNG+bMmdOyZcuBAwemp6dv3bo1Pz9/69at8+bN69+/\nf9Tz5MmT2dnZO3fubNeu3YABAy677LJ9+/a98cYbU6dObdeu3ciRI0MI//u//3vkyJETJ07cfffd\n0ea3f/RHf1ReXt6uXbuPP/64pKSkTZs26enp6enpIYRTp05FnaPHX7x48bRp09LT06+//vquXbse\nOnTo3//93+fMmXP8+PGcnJxaDiAxhs2bNy9ZsqRLly7Dhw9/7733/uM//mP58uUnTpyYPXt2LZ8u\n8uqrr27cuLF79+5/9md/Vu3jVHoVtX8/AaBOiKkAJKfXXnvtuuuu+/nPfx4tEpaWlj700EP/9E//\n9JOf/OTll1+OVhdXr169c+fOgQMHzps3L7Fj0FNPPTVnzpz169cnUmIIYfr06YcOHZo+ffqAAQM6\nd+4cNd58881bt279+c9/ftVVV1U7hn/4h38IIcybN+8b3/hG1LJ79+7vfOc7S5cunTx5cqtWrWo/\ngBDC008//f3vf/+ee+6JBv+b3/xmzJgxa9asef/99y+66KLaPF3UuHHjxpof57zfTwCoEz5UAEhO\nrVu3nj17dqKQNTU1ddq0aVdcccXevXtXr14dNR4+fLhv37633nprxV1to4x34MCBio+2e/fuxYsX\nf/vb305k1LMqLy//6KOPopEkGnv37j158uTvfve7UcFw7QcQQrjqqqt++MMfJgLh1Vdf3a9fv7Ky\nsv/+7/+u5dPV5nE+T23eTwCoE2IqAMnpW9/6Vvv27Su2tGjRYvTo0SGErVu3Ri133333Cy+8MGDA\ngOhmaWnp7t27582bV/XRhgwZ0qdPn3MaQEpKyvXXXx9CmDRp0lNPPbVr166ysrIQwvjx4x988MFL\nL730nAYQQhgwYEBKSkrFll69eoUQonRam6erzeN8ntq8nwBQJxT9ApCcevToUbXxyiuvDJ9dqDx1\n6tTq1as3b968a9euwsLC4uLiL3zhC1V/8Mtf/vJ5jOFHP/rRb3/72zVr1syZM2fOnDnt2rX7+te/\nPnTo0FGjRqWlpZ3TAEIIF1988YU/XW0ep1q1fD8B4MKJqQAkp0oLhhWdPn06+kdBQUF2dvbx48e7\ndev29a9/fcSIEb169brooov+4i/+otKPXHLJJecxht/7vd/727/92717927YsOH111//zW9+k5+f\nn5+f/8tf/nLx4sWZmZm1H0DNr6iWT1fLx6lWbd5PAKgTYioAyendd9+t2vg///M/IYTLLrssunn/\n/fcfP3783nvvTZwfE0JInOZSUcuWLc97JD179uzZs2d2dnZpaem//du/PfbYY3v27Hnqqad+8pOf\n1H4AdfJ0F/KwtXk/AaBOuDYVgOT0q1/96uTJk5UaV61aFULo169fCOHDDz/cv39/enp6dnZ2xT57\n9+6tkwEcOHBg/Pjx06ZNS7SkpqaOGDEiSqS7du2q2wGc9enO82X8zlnfTwCoK2IqAMmpqKgoJyen\npKQk0ZKXl/ef//mfnTt3jjb+SU1NTUlJOX369NGjRxN9Dh48OGPGjBBCxR/8PNEFn1XDW6Rbt247\nduxYtmzZzp07K7YfOXIkhHDVVVdd+ADO6enO6dGqOuv7CQB1RdEvAMmpd+/eq1at2rFjx7XXXtuh\nQ4etW7e++eabX/jCFx588MHoyJb27dv3799/69atY8eO/dM//dNWrVrt3bs3Pz//D/7gD44cObJ/\n//4nn3xy8uTJNTzFZZdd9sYbb9xzzz29evW68cYbx44dW/HetLS022+/fc6cOd/97ndvuOGGXr16\nlZWVbd++/ZVXXmnbtu1NN9104QM4p6c773cyctb3EwDqipgKQHIaPnz47bffPnPmzOeffz6EkJqa\n2q9fv6lTp1599dWJPrNmzXrggQc2bdo0f/78EEL79u2zs7Pvvvvu++67b82aNfPnz/+rv/qrGp7i\njjvu2Ldv365du1577bVqj6u56667MjIyFi5cGBXHhhBatGhx3XXX3XfffVGhbG0GUPsdj876dBei\nNu8nANSJlPLy8sYeAwDUpfnz58+YMeMHP/jB3XffXV5eXlhYeOLEiV69en3eot/Ro0ffe++9Ll26\ndO3aNdH4zjvvXHzxxZVOCj0/ZWVlR44cOTeP0EoAAAHeSURBVHLkSOvWrbt27Vr1Met2AGd9unN1\nru8nAFwgq6kAJLOUlJRqD/ysqHPnzp07d67U+Pu///t1NYYWLVp07dq1YgSt1wGc9ekuRG3eTwC4\nQLZQAgAAIEbEVAAAAGIk9eGHH27sMQBAXSotLe3cufMf//EfX3bZZY09lmTg/QSggdlCCQAAgBhR\n9AsAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABA\njIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAA\nAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgK\nAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyI\nqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADE\niJgKAABAjIipAAAAxIiYCgAAQIyIqQAAAMSImAoAAECMiKkAAADEiJgKAABAjIipAAAAxMj/AzBv\n4i4Ua45hAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<IPython.core.display.Image object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "c = zeros(size(A,1),3); \n", | |
| "c(party==1,3) = 1; % blue \n", | |
| "c(party==2,1) = 1; % red\n", | |
| "scatter(x1,x2,20,c)\n", | |
| "xlabel('partisanship'), ylabel('bipartisanship')\n", | |
| "title('111th U.S. Congress, House voting')" | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Matlab", | |
| "language": "matlab", | |
| "name": "matlab" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": "octave", | |
| "file_extension": ".m", | |
| "help_links": [ | |
| { | |
| "text": "MetaKernel Magics", | |
| "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" | |
| } | |
| ], | |
| "mimetype": "text/x-octave", | |
| "name": "matlab", | |
| "version": "0.11.0" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 1 | |
| } |
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