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@amirziai
Last active January 12, 2018 18:29
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import pyplot\n",
"from mpl_toolkits.mplot3d import Axes3D"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Generate some random data\n",
"x = np.random.randint(1, 10, 10)\n",
"y = np.random.randint(1, 10, 10)\n",
"z = np.random.randint(1, 10, 10)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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gdqVPrTqu1+uF1+tFX18fOI4TPYBKHWUA1HWU2W+T/H5FinqRNiQg6e6bN2/i8uXLYkMC\nq/aGAXv3K8nxyf6plsiSiOXa2ho+//nP4wtf+IJt57YfUFFsc5TSpOSJTo+lgpBOpxEOh8VFdX5+\n3tB5GYkUBUFALBbD8vIyPB4PRkZGcPLkSd3vbcfC2m5Pw0Ro1TrK8DwvLuByk3wj35+d9hE7I0U7\n9ysJjYY+E49lNput8VhKGz+oDX22WxRZlm1aVKQklul0WhT9Rwkqim2K0mBf6U2vVxR3d3cRCoXg\ndrsxMzMDr9eLe/fuGT4/PeZ7qRiSNClJ/9mFXpFrx8bdzfZ8yUI8PDws/lzq+0smk6LvTzpbUdom\nz0raJVJUotm1Vtob1jr0mWEYW8/d6H5oJpOps8I8ClBRbDMaDfaVokUUBUFAKpUSI7OTJ0+K5uhq\ntWoo0iRotQ1IxfDChQvo7OwE8KDK1Y4KUjO0mygaQc33R2Yr5nI50d4gHxdF9iuNRjV2iiLHcS23\nj9qo8QMRy2Qyid3dXTAMg1wuVyOWwWDQkgcTafpUD9lstm6s2KMAFcU2Qe/4pkaiKAgCkskklpeX\n4fP5MDc3V/cUazT9qgWpGHZ3d9eIIcEuW0WxWEQ4HEYmk0FnZ6f4BN9sT83O9Gk77H+S2YrBYBCx\nWAzz8/N146LW1tZqqjPlHWWaXcN2Tp9aeb3dbnfNg8nW1hZYlsXIyIgYxcfjcUQiEbAsW1N1bGTo\nM8uyhro/ZTKZumKvRwEqii2OkVmGgLKoCYKARCKB5eVldHZ24tSpU3ViSLAjXSgIAuLxOMLhsKoY\nEsw2BJdTKpWwvLyMXC6H48ePY2ZmRqwgVNpTU2rw3SrVp/t9bOmECLVxUfIJGGTvSb5fKd1Dszt9\n2o7HBt7ZU1Qb+iz1WBoZ+mw0UsxkMjX71I8KVBRbFKNiSJBWfxIxWl5eRiAQwJkzZ5rOCLTyJpe+\nf1dXV0MxlL6/FZFiuVzG8vIyMpmM2IYOeLCQkCkNSntq+XweiUQCKysrqFar4j/FYrElp8rvFVqE\nS2kCBlDb1FtpD43nebhcLlv2K8mx7cDOYwMQB2KrIa06Jmgd+hwIBFCtVg2JYi6XE72NjxJUFFsM\nnufF+X3d3d2GfUDE50d6g3Z3d+PcuXO2N0aWIk2TdnV14fz5803FkGA2fcrzPO7fv49UKoXJyUnM\nzc01rKAUBAGcALhV9tTefvtt+P1+VKtVrK+v16UJW8XWQLDTPmL08zXaQyMLdz6fx507d8S0oHzS\niFHxsTtStFsU9R6/URQvteikUilx31IexTfzWGYyGbqnSLEP6SzDbDaLRCJh+AtH+mjGYjEMDw9r\nisyshESGxWIR8XhclxgSjKZPGYZBJBIRHyq0zHFcT5dwM5pGlRNwuKcD1471wueuXQzIPo/8abxU\nKjVMwe5nGzY7RMCOFCdpRpDP59Hd3Y3x8XEAaBjpyPcrm+0X2rlfaXcRj5WWDCWLzp07d8SIT8lj\nKd8fJg9+2WyW7ilSrEcqhsCDL63H4zFU5CIIAra2thCNRuH1enH48GHMzs5afcoN35+kSclkejI1\nQy9606fVahXRaBSxWAzHjh1DIBDA6Oho09dlSlX8OLyL3k4PfG4ndjJl/GQ1jXdN1nbuUdpTlKYJ\n1VKw8Xi8pg0bEUpSqQm0V1Wrnft+8mIYr9eL/v7+utZrJNIhKW7SjKCRQZ7neUMpQi20kygqQaJy\nj8dTl/JW8rN+4xvfwAsvvACv14t//ud/Rjwex+nTp3H06FHD1+H555/HF7/4RQiCgN/6rd/CM888\nY9XH0w0VxX2C53nV8U16Kz95nsfW1hZWVlbQ39+P+fl5ZLNZ7O7umj5PLYugXAxJmvaVV14xnFrS\nmj5lWRbRaBQ7Ozs4evQoHnvsMTidTqysrGh6n2z5wZ4tiQwHgl5sZip1v6en0EbN1kAin3w+L1Zq\nFotFLC4uoqenx9IUbCumT604dqNmBI2GEDMMg2AwCIZhLI/aWzF9qodGPkUlP+vZs2fxzDPP4Omn\nn8bU1BReeukl/O3f/i0uXLiAZ599Vvf73717F1/84hdx8+ZNeL1ePPnkk3jf+96H6elpU5/LKFQU\n9xA9swxJgU0jeJ7H5uYmVlZWMDg4iMuXL4s3vBWWCiIEagsVqWYNh8M1YkggwmaHKLIsi9XVVWxt\nbeHIkSOiGMrPr9ki63M7wQsCeEGA0+FAgeHQ5bPntlCKfO7cuYPR0VGxMbOVKdh2SZ8SzKQ4pQb5\nQ4cOiT8nUXs0GkU+n8e9e/fEwhL5fqXRSHIv2rDZeXwjdpXOzk4UCgX8xm/8hulh3m+//TauXbsm\nrh0/8zM/gxdeeAGf+MQnTB3XKFQU9wCtYkhwu90NBY3neWxsbGB1dRXDw8O4cuVK3YJphSgSYVIS\nm0ZiKH+90fdWinY4jsPa2ho2NjYwNjaG69evKy4YzQSdMBT04sRwAEvxIpwA3C4nfmqyfp/ETktG\nZ2enqRTsXlbB2pnqtUNwSdQeCATQ29srFp00sjFIxXK/9ysB+0XRKGQOpVnOnDmDT33qU0gmk+js\n7MS3vvUtXL582YIzNAYVRRuRzzIEtFkr1CJFjuOwsbGBtbU1HDp0CFevXlUt1bZCFMkxyBO0VjEk\nOJ1Ow+cg31PkeR5ra2tYX1/H6Ogorl271vDJXquIORwOXDrSg+MDflQ5Ad2dbnR61EV2r9CTglWq\ngrWzG1ArRop6j61mYyCjovL5PFKpFAqFAoDGzdPbfU/RyN/Tynthbm4On/zkJ/HEE08gEAjgwoUL\n+/oQQEXRBowO9iXIoyRpdDQyMtJQDAlWiqLU9B8IBDRbO8xGijzPg+d5rK+vY21tDSMjI03FkKBH\nxBwOB/oD7TF7UK34hOynkRRsOp1GKpUS9yqtqoLd7z1Fo2gd1Ks0KqpR83S/3y+mHyuVSk3zdKuw\ne/iyGaz6rB/96Efx0Y9+FADwh3/4h2IF8n5ARdFCiGG2VCqJnTrMzBtjWVYUQy3RkRSr9hSTySQ2\nNzfh9/tx9uxZXT5HM6JIruXLL7+M4eFhTQ8CVr23EnZGimaP63A46oohlpaW0NfXB6/Xa2kK9lEW\nRTUaNU8vFotYW1tDuVzG/fv3UalUapqnk4cRq5sRWIXRbjblclnXOLdmEPvY6uoqXnjhBdy4ccOy\nY+uFiqIFSMc35XI5RCIRnDt3zpQYVioV3LhxQ9w30/vFNSOKJDJMpVLgOE63GBKMjo8ithKe5xX3\nS7VgtYi1W5s3QRAUU7DkYYOkCKUpWLmlQakKtlWFaz+OLW1G0NfXh8OHDwN4p3l6oVDAzs4OCoWC\nuP8m36/U8jBiZ9re6ISMdDptqUfx/e9/P5LJJDweD/76r/96X5sCUFE0gdIsQ+IxNLJwVKtVrK6u\nYnt7GwDw2GOPGc6tGxWkZDKJcDgMv9+PgYEBHD161HAXHD3nIAgCtre3EYlE0N/fj8uXL+PVV181\nnO5rF1G0E6XvoLTTSbMUrFIVrJ2dYdpVcEmBDkGpR6n8YWR9fV1sRqC0X7lXEz3MTMiwUhR/+MMf\nWnYss1BRNIDaYF/gQeWoFjuFFKnx/MiRI7h+/Tpu3rxpaoHQ81q5GJLeqAsLC6ZSsFpEUdoKrre3\nF5cuXbIkLWPXlI1HFaUULFBfBZvJZFAul1EqlWrE0ooq2HaLFPUcu9HDiFrzdBK5cxyHcrmsOIDY\nLFoGDCvxqM5SBKgo6qKRGBL0iCLDMIhGo4jH4zXGc+Cd9Kfd426IGHZ2dtY1CjcrLI1eL5+YcfHi\nRUv3KNQiO4ZhsLy8jFgsVpfOCgaDqgt7u0WKVkVd8hTs7u4u4vE4JiYmDKdg7T5nJeyOFI0+EKg1\nTyfNCDKZDARBwOLiIsrlcs0AYiuKp4ye+6Pa9xSgoqiJZlPupWi5qSuVCqLRKBKJBCYmJhSN58Sr\naMcGfTMxJJgt1lESRel7BwIBnD9/3pYm5XIRk7eBO3bsWE0UJPWqqTX5btVCm72EfP/NpGDVFnK7\nm3a3UxRKmhG43W4kk0mcO3cOwDvN08lMRXnxlHS/UksEaDRSfFQHDANUFBuidcq9ViqVCiKRCFKp\nFCYmJjAzM6N6PK1dbfQgCAJSqRRCoVBDMSSYjRSl46sAiGLY0dGhaXyVGci5SzvfkGjc4XCAYRjV\nvR9pOoss7CzLoqOjAzzPW1pR2AoTNfTSaBCzlhQsGY7r9Xrr9ivbSbgIdvoI5ccmzdPl+3nS5umb\nm5viAx4ZE0W+s/JmBGbSp49iM3CAiqIiZmcZyimXy4hEItjd3cWxY8c0TW6wylJBnr71iKFV50CE\naXd3F6FQCB6Pp+FgY6vZ3NxEIpHA+Ph4TeebRmk6tXTW2toaKpUKHA4HYrEY8vm8OLFcam/YyyKJ\nRtiVijRyXK1VsOl0Gm+++WZNejAYDNY09jZDO0ahWgVXb/N0kg0he8N6/67ZbBYTExP6P1AbQEVR\ngpViSL6QkUgEmUwGx48fx8mTJzUfz0jBjhyn04lEIoFoNGooOiMzGY1SLpexs7ODYDCIkydP1s3R\n04Lem5X0g43FYhgZGTFkZ1HC5XKho6MDY2NjNedWqVTEDjNkXBaJmKRiuR+jo+zAKrFVSsHevn0b\nc3NzYoowl8tha2urprH3fo/jUmIvI0U9NGqeTkaeJZNJFAoFbG9v11xj8mCi1oyA7ik+4vA8D47j\nsL6+DpfLheHhYdOVn3fu3EGhUKgbcKsVsz7DVCqFfD6PjY0Nw9GZy+VCuVzW/bpsNotQKIRyuYzB\nwUHMzc3pPgbwTmcfLddOaukYHBzEoUOHMDo6atu4IKC2A4p00SGmbrLorKysgGGYur6adqaP23VK\nRiOjvJYUbKMq2LXdEjYzZXR3eHDyUMCyz9EKkaIepNc4k8lgaGgIfX194jUuFApIJpNYXV0FwzA1\nzdMFQYDf77fUkvHZz34Wf/d3fweHw4GzZ8/iy1/+sqVFd3o50KJIxJBEZDzPg2EYwzdLoVDA8vIy\nisUijhw5grNnzxo+VrOm4GqQfTufz4eenh7Mzs7uic8QAHK5HEKhEDiOw/T0tJi6MQpJ/zZacKRV\nrL29vZifn4fP58P9+/cbnrvexV3v6Cj5hHmSLiT7PmtraygUCiiVSqhWq+jt7a2JKls1XbhfFaJm\nGhEEg0HcS7D4+0j4wXdKEPDY8T78yuVRSz5Lq0aKWo9PHhzV+u1Wq1Xxe/uDH/wAf/M3f4NEIoH7\n9+/jXe96F86cOYMrV64Ymt26sbGBv/qrv8Jbb72Fzs5OfPCDH8TXvvY1fOQjH7Hi4xniQIqi0mBf\nYrw3Ehnl83ksLy+jVCphcnISPM+jp6fH1A2nt9BGKoYkMnzzzTdN7QlqjVbz+TxCoRCq1Sqmp6fF\nJsuxWMw2Swfw4DOHQiGxiXBnZ6f4/7WaeV+aLpT21bx37x4GBwchCAJ2d3exvr4utgqTpl8DgUBL\nTEpopTZvWqtg1zY28eIKg57ODPw+L9xuN364GMO1iS5MDZv32tl5TfZilmKzbIrH40FfXx/6+vrw\noQ99CB/60IfwgQ98AH/8x3+MdDqNu3fv4sc//rHhgeYsy6JUKsHj8aBYLGoaDm4nB0oU1cSQoHcf\nL5fLYXl5GZVKBVNTU+jv74fD4UA8Hje9H+hyuTTt55ECGqkYEoxGm4RmolQsFhEKhVAqlTA9PV2z\n2Gt5vdH3J4U7Xq9XdZ9Ui4jpXczsSEmSptLy/VbydE5S4KT7iTwCUitCadf0qVURsjQFW2Q4OG6+\njMPDQ+A4FlWmCrZaxp23FpCMCrpSsI3e0w6MdpzRitE2b7lcDnNzc+jp6cGTTz5p+P3Hxsbw+7//\n+zh69Cg6OzvxxBNP4IknnjB8PCs4MKJIiiIA9QIaraKYy+UQDodRrVZFMZRiReWo2+1uGLWmUimE\nw2F4vV7VPUMzo5sA9c9RKpUQDodRKBQwNTWFgYEBxetphShKF/dsNoulpSU4HI6mhTuN3pv8/fUI\nx15bJ6RP5wRiF8nn8zVFKC6Xqy6qtOuc7fZU2nHOHW4HRgIOxPNVDHV5UeQcGOj14eevTyPoc2lO\nwVpVBasHYgWyC6OiWygULKki393dxb//+78jEomgt7cXH/jAB/DVr34VH/7wh00f2ygHRhS1TKzw\neDwNo7M4q6hZAAAgAElEQVRMJoNwOAye5zE1NVWzYEmxonJULX0qFcO5ubmGX0wrLBXS15fLZYTD\nYWSzWUxNTWFoaKjh9ZT7FPVC9hRJepZlWczMzGja4G+19KlV50DsItIiFFKtSXyVZP+nXC7X7FXq\n6S7T7DzajfdN+XCvGkQoXsBgwIsPXx1DV8eD5U9LClatCtZue5Hd6VMjRUJkaLoVxUX/+Z//iePH\nj4v2p1/6pV/CSy+9REVxr1Cb5k5QE7N0Oo1wOAwAmJqaalqKbJUoSgWJiKHH42kqhmrHMHIOPM+j\nUqlgeXkZ6XQak5OTOHXqlKaF0WykyPM8FhYWUK1WMTMzUxeRN+JRFEU1lAzdd+/exeHDh8WHilgs\nhmKxqLio62lCYGf61C54nkfQ68T/vK7dV6enEUGhUMDt27cNTcBoht2iaAYrvgdHjx7FjRs3UCwW\n0dnZiRdffBGXL1+24OyMc6BEsRlyMdvd3UU4HIbT6cT09LTmEmS3223K3yc9F6nxXasYEsyKIhmF\n9ZOf/ES3zxJ4J9LTS7lcFkV4amoKR48e1X0D2tEQvJ3avBG7SCAQqGlCoGZt8Pl8dftqSpFAu4qi\nVcIir9AUBAG3bt3C3NxcTWWxVSnYVhRFKy0o165dw9NPP41Lly7B7Xbj4sWL+NjHPmbJsY1yoESx\n2dM+iSRJVOZ2u3HixAnd3eDdbrfY6d4opAMFz/OGje9GRVHaqNzhcIit0Yy8vx5hYhgGkUgEyWQS\nk5OTEATBcBWvHZGiHey1wDSyNpDCnmQyKXY+kXoqSSu2Vlukm2F3+ziXy6VYWdwoBStvRK8Wrdsp\nikYfcHK5nKH1SI1nn30Wzz77rGXHM8uBEsVGEDEsFApYXV01LESAufQpiQxdLhf8fj8uXLhg6DjA\ngwWQYRjNvy9tmj0xMYFr167h1q1bhhdurdEay7KIRqPY2dnBsWPHcOLECTgcDuzu7hqO9pqJIsMw\ncLlcmhecVk6fKqG3iEhpUSeTGvL5PHZ3d7G2toZ8Pg+32y0WWliZKrQLOxuNNxIttRSsvKm3tBGB\nPAXbih7IR3lsFEBFsW5iREdHhykhAoxFaNI06cmTJ+H3+3Hr1q09OQ+WZbGysoLt7W0cOXKkZmqH\nGSFoVv3KcRxWV1exublZ977k9UbfX+29iY0kn8+Lx/b7/eIC39XVpdo+rJ1EETAfhZKIRpqyX11d\nFW0khUKhZliu9DoGg0Fb5v8ZodUajSvtASs1dyAPJAsLCzXX1aoqWDMTMqgoPiJIv0iCICCRSIgj\njIjf7eWXXzZ9E+mJFOViSKJTQRBM74k1E0WpKI2PjyuOsDKDWqTI8zzW1tawvr6O0dHRmmbdWl6v\nBXlkJy0Wmp6ertkTkkZDq6urqFar4lP7XlQYthOCIMDtdtc1n5b208xkMtjc3FS1i9jpu1OiHdqw\nqUXrr7zyCo4fP45isWg4BauGUVFMp9OPbN9T4ICJIvBOW7Dl5WUEg0GcO3eupg0asWX4fD7D76FF\nFEkRj8vlUkzVWjUgVkkUOY7D2toaNjY2GoqSWeSiRpp1r6ys4NChQ7h27VrDm9JooQ55rSAIYko4\nHo/XFAtVq1VxsVQSPmmj72QyiWw2C47jwDCMpY2+7TTC23VcJYGR9tM8dOiQ+PNqtao6s1JegGIX\nrRYp6sHhcIjXyGgKVu3eNiroVvY9bUUOlCiSlkTd3d04f/58TVswAhE0u0RRKoazs7OWbljLkYsi\nz/NYX1/H2toaDh8+3FSUzEIWfGmz7oGBAVy5ckWTmJhJn5K0+ObmJo4ePYrr16/rWrzkT+3pdBo7\nOzsYHR2tafRNHqDIQtTV1aV7fJRdAtYK5n21mZXlcll86NjZ2UGpVEKpVML9+/drokorZla2Q6So\nFz0pWLUqWDOzFGmk+Ijg8/lw8eLFhk+ldngMgQeLKimgsVsM5efB8zw2NjawurqqKUKzChKp3bhx\nAz09PWKzbq0YSZ+Sz7q8vAy/329pFOxwOFQbfedyObFiuFQqKY6PsmKBbwXMiq10pBGxi3Ach9df\nf1186LByZmU7R4p6aFQwRQZnS1OwpJuNdKtAy3eURoqPEIFAoKl/sFlXGy1IFw2pGBqxd5jxhTkc\nDhQKBbz88ssYHh7G1atXDS3MRs6BNOtmWRZXr15VjMqboSd9KggCdnZ2sLy8jMHBQczMzKBQKFgq\niEpRknQhko+PUvMDkoIeMorHDtqt9ylJyyrZReQzK8lDh7ywRy370K6RolXXWm0c1/r6OkqlElwu\nl64UbCaTwdGjR02fV6tyoERRC1ZEisCDnP+rr75qWAyBdyI9vVGdIAjY2tpCJBJBtVrFT/3UTxne\n+yLRmtYbP51OY2lpSWzW/cYbbxgSROl7N4KkSUOhELq7u8VoNB6P72tHGzU/IFngc7kcYrEYdnd3\nkclk0NPTU7PAWxHJt9PoKDXh0jOzUlogJfVXtqsochxnaxTK8zy6urowMjIi/kxtxBkAbG5u4saN\nG0gmk5ienjZ9XRcWFvDLv/zL4n8vLy/j05/+NJ555hnjH8oCqCjKMCuKpCUcwzC4cOGCqdJlMuVC\n6wIpjZb6+/sxPz+P1157zVQxCBHmZjd+LpfD0tISAJjyeEpxOp0N/xZEgH0+X13BlNUdbazwKSot\n8AsLCxgaGoLL5RL318LhMDiOQ0dHR13acL8tDnZGinqOqzSzEkBNEwKyoFerVXg8HgiCYPnMSrtT\ns3ZPyJA/sDZKwR46dAi7u7v4l3/5F3zpS1/C888/D7/fj/e///34vd/7Pd3vPzs7i9u3bwN48AAw\nNjaGp556ytyHsoADJYpabgKPx6PL8E4gYuhwODAzM4N79+6ZLuUnTcGb7cNJB+329PTg0qVLllXz\nNROXQqGApaUlsT+plRvwaulTLQLcLmZ7h8MBp9OpWDShVIyi1eLQKuKlFavExev11tlF1tbWxPso\nnU5bOrPSTlE0OtZJK3oeuJ1OJ44ePYqPfOQj+N73voc//dM/FVvbJZNJ0+fy4osvYmpqChMT2vvT\n2sWBEkUtkG4dWpGLIYkMScRpJkprNg9R6rUMBoN1g3atoNH4qFAohGKxqDhLUX6eRhZSuSCXSiUs\nLS2hXC5jZmZGdUoJ0P4NwZWKUYB3SvFJwYTU4iBd4OleZe2xOzs7a9KEgPrMSvm1bGSW5zjOtgKq\nVhgwrEQ2mxUffq3y8X7ta1/Dr/zKr5g+jhUcKFHUctNpTZ9mMhmEQqE6MZQfx4rUpRzSki4UCsHv\n99elDq1ELkyVSgXhcBiZTAbT09MYHBxseF2JrcKoKJJ9OKnxvtl7Kp23HL3n0yqRp1opvnzOYiaT\nwZ07d9DV1VVT2GPFImtHZGSnKKpFc0ZmVkorislDa6u1YdOK0UjUaksGwzD4+te/jueee86yY5rh\nQImiFjweT0NRlIpho8kZVgwaVpqpSMSwo6NDdeq8lZDPIW/WPTc3p3l8lNGCAZ7nkUgkEIvFdE/p\naBUR2wuU5izevn0bJ06cEPfYpJGQmXZsdl3TVrFNaJlZKd335TgOpVIJPM8jEAjA7/dbJu52i6LR\nAcMMw1jabOHb3/42Ll26VNP0YT85cKLYbLFUG/ukVQylxzFbxSpNn5KiEo/Hg1OnTulKWZh9Cl9b\nW0M2m8WxY8cwMzOja/EyUvBC2s+trq7C7/fj6tWruhfMdk+fWoHb7Ybf768zzpOqzUwmg42NDV37\na+22VwlYI7hqEfrbb7+NQCCAYrGIWCxmqUe1FdOndtwD//RP/9QyqVPgAIpiM+RiRsQQgO6ZilY0\nAcjlctjY2IDD4TBU1anXUkEgwrSzs4NDhw4Z7ouqRxSlbeBGR0dx5swZxGIxQ+9rpkWc2vHabZ9O\nCenkBnk7Nvn+GtmLI+lXMjqqlQtt9vLYDocDDocD/f39Nfel1KOaSCQQjUYV++mqzayUHsdOUTR6\nXcjntoJCoYDvfve7+MIXvmDJ8azgwImilkiRZVlkMhmEw2EIgqBLDOXHMUoul8P6+joEQcDZs2cN\nd5DQaqkgSFvBjY6OYnx8HD09PYYXFa1eQ6nxnjQZyGQyhoWtUYs4Ir7VahXd3d370qSaYGdxiZ5j\nK+2vKY2OymazKBaLNb7KQCBgWnRaPVJUQ+ne0juzUqkJgcPhaMkBwwzDWFpYFAgELKletZIDJ4rN\nIDd9KBQyJIYEo6KYz+fFTjCkWs5MSyWte5uCIGBzcxPRaLSmFVwkEjG1N9pIFNWM9wQrGoLL34+I\n78DAANxuN7a3t5HP58UKThIRyffa2jF9ahalZun37t3D2NgYeJ6v8QIC2kdwKdGOkaKeY+uZWUmE\nh+xTdnV1tczMykd9liJwAEVR7Wk0m80iFApBEAT4fD7Mz8+beh+3241KpaL59wuFAkKhEBiGwdTU\nFPr7+xGPx7G7u2vqPJqJolwo5M26zZrg1V7fyHhvxXvLRSyZTGJpaUkUX1LEJJ0bWSqVkMvlavba\nPB6PWJYvnaxxUBEEAV6vF36/v250lJYRXGopw0cpUtSD2pQWhmFELy6ZWSlNZ5udWWn0ej/qfU+B\nAyiKcqRiODU1hd7eXrz00kumb1KtfsdisYhwOKzo92vmU9RCI1tHIpFAKBRqaPg3W0XrcrlqhC2f\nz2NpaQmCIDTdIzU7ZJjneWSzWSwtLcHlcuHs2bNita48ipdWHUr32kjKK51Oo1Qq4Sc/+QkAiE/w\nrdrs286CGCW0juAiKUN5IUq7iqJdx/Z6vfB6vRgcHBRT2qRIqlAoIJvNmppZaVTMSUvCR5kDK4pK\nYkggC7mZJ8BmYlIqlRAOh5HP5zE1NaXovVOyZFhxHqlUCktLS/D7/Th//nxDj6PT6TTVIJ2IEzH7\nl0qlpsZ7gpn0ablcRi6Xw8LCAk6cOFF3I2tdgEmHlGAwiGw2iwsXLoh9N3O5XE0jZdKWjYil1gnp\n7ZaW1SNeailDUohC+pYWi0XxvjM6DUONdhRFoN5HKC2SkttFyIOHfDtA+vAhbRNoZmwUFcVHjEKh\ngLfffhs8z9eJIYHYMsyIotqeYrlcxvLyMjKZDKampnD69GnVRcYqryM5RiaTwdLSEtxuN06fPq3J\n1mH2HHieRzQaBcMwmo33BCPpU4ZhEA6Hsbu7C6/Xi8uXL1sSgUjTsUp9N6Vt2eSmb2lEKbc67Hcv\nU71YEdE5nc6667e1tYVSqYTu7u66aRhm7Q17MQjYDrRGc263W/PMShLRezwecBwn9oXVyqM+SxE4\ngKLI8zyOHz/e8A9rlcdQegzSlWV3d1ez+d2q9CkpiACge2KH0X09lmURiUSwvb2NkZERXLp0Sffi\noSd9yrIsVlZWsL29jePHj+PEiRO4efOmZQtWs0IbtbZsalYHUpRSKpVMjypTot38hGSvcnBwUPcI\nrmbN0tt1H9iouR5Q/z6S6xmPx8EwDO7cuaNrZiXdU3wE6enpaboIWSmK0k4weruymE2fFgoF7Ozs\ngOd5nDlzxtATnt5IkfgbycT7iYkJzWlEOVrSp1ILydjYmOinFAShJdKSzawO5XIZKysrWFlZqVuY\nrOyOYhV7LbZaR3AVi8WafU1pKzY79yvtxA5LBrme1WpVtJvJZ1YmEom6vV9yHTOZDMbGxiw5l3Q6\njd/8zd/E3bt34XA48KUvfQmPPfaYJcc2w4ETRS1YMWhYEATkcjm8+uqrmJiY0N0JBjCeuiT7lYVC\nAX19fQgEAoZTHlojRanx/vDhw+LE+5WVFVNew0Z2DlI1OzQ0JFpICFYvglZaMqSLdz6fR39/P/r6\n+sAwDHK5nBgVyRd60r90vzyVgP1DhrXQaMaiNF1IWrGVy2VEIpGWGsGlBTvnKUqjULXrKd37vXv3\nLp577jns7Oygv78fd+/exblz5zA/P4/Tp08bOoePf/zjePLJJ/Gv//qvYBhGFOL9hoqiAmYiRZZl\nEY1GsbOzA4fDgevXrxv+Yuu9caWNs6empjA0NIStrS1d1hA5eiwdUuM9wUpbBSGVSmFxcRFdXV11\n3ka7sNunKPWxSRcmac9N6VQMJU+g9PvSbulTK2YHulwuxVZsN2/eRFdXl6ERXI3Yi0yEnUU8zT6v\ndO/38OHDeO9734tPfOIT+Pmf/3n09vbizTffxHe+8x1DopjJZPCDH/wAX/nKVwC8U23bChw4UbRy\nUoYUlmWxurqKra0tHDlyBI899hhu3LixJ3sZ1WoVkUgEiUSiLkVrtlCmkagRS4eS8V76eqNRt/xv\nlcvlsLi4WGev2Cv2o82bWs9Npf6lxFMZDAbBcZwte2ntJrZkXuXQ0FDdCK7NRAZLO2l0xjNwcyXF\nEVyNUv/tulcJGN+vzGQymJycxKVLl/D4448bfv9IJIKhoSH8+q//Ot544w3Mz8/j+eef3/N7WokD\nJ4pa8Hg8KJfLmn5Xuoc2NjYmpg33AmlxycTEhGJUaoXPUP56LcZ76evNRKrAO3MUK5WKor1iL7Ar\n3WZ0r1Wpf6m0jRjDMHjttdfgcDjq9tnMeCpbfciwVl5ZzeLP/iP84L0F4JmfO44nTg42HBslH8HV\nzqJILER6kc5SNPv+r732Gj73uc/h2rVr+PjHP47PfOYz+JM/+RPTxzbLgRNFrZFis+iG4zisr69j\nfX0do6OjqmJoxSIiP4ZUiMfHxxs267YyUiTGe57nNTcnN5M+ZRgG5XIZt2/f1m3naIaReYpW89Jy\nCl/5URKBjhx++2d8ODliblirdOr8zs4OLl++XLMv1Mqeyr0shikyHP7sPx5MvPG6nahyPP6f/4pg\n/kgPBoPKY6OUhhH7fD5UKhUkEglT3WX2AzM+RStEcXx8HOPj47h27RoA4Omnn8ZnPvMZ08e1ggMn\nioD2puBKSKsdR0ZG6go8pBidUKF2DHmzbi1RqbyjjF5cLheq1Sru3Lmjy3gvP389cByHaDSK7e1t\nuFwuXL9+vW0WG628uJDA//X/3UeZ5QGU8eOV2/j7X7uA2UPmp5hLUaveNOKpJNgVKe7V3zhZYCAA\n8LkfPEh6XE7wPIedbAWDwfp9LTUfYCqVQiQSMTSCqxl2Xw+jA4bz+bwlvU9HRkZw5MgRLCwsYHZ2\nFi+++CJOnTpl+rhWcCBFsRlKoiitrjx06FBdQUmj41jRBGB7exvRaBTDw8Oa3pvgdDoNFw0RI3yh\nUMDMzIyhSI0MGdYCz/PY2NjA6uqqaK+4ceOGbXtY+2nZ+MIPVx4K4gNKVR5fvbmBP/nfZm1/byOe\nSrtHR+mpPtV7XDkDAS9cDgcqLA+f2wmG5SEAGOnRXrDlcDjg9XoRCAQwNTUl/ryZL1U+CUONVh0w\nLAiCZef1uc99Dr/6q78KhmEwOTmJL3/5y5Yc1yxUFBWQWjIEQcDW1hai0ahidWUjzJrvBUFAtVrF\nrVu3MDQ0VNesW+s56I3UiPE+Ho/j+PHjSKVSNYunHrQY8OX2Cj3X2AjJZBKLi4viA4s0jRgMBvdk\nT5jl669JVeFnZtArXo08lblcDslkEuVyGTdv3rTcU7mXe5V+rwt/9D9m8OlvL6FcfXB/fvK9UxgI\n6Lu3lI6tdg1Js3n5JAx5VEmOdxAGDF+4cAGvvvqqpce0ggMpilrSp9VqFVtbW4hEIhgYGMDly5d1\nC5JR8z1p1h0Oh8GyLObm5mrK9PWgJ1LjOA5ra2vY2NjAkSNHxMKdSCRi6L21vD/pwxoMBlWbklsF\n6YXqdrtx9uxZ8YGhUCiIacR8Pi+O7DE6BkkLH7oyhv/7u2GUqw8eWDrcTnzg4mFL38MK5I2+0+k0\nLl++3NBTSR4w9Ngc7CpaUTvulYle/L+/cQnb2QqGgl50dehfCrUKl9PpFAujpEgLo+QjuHw+n9j8\nww6rghHRJWvmo7aVIedAimIjiCBls1mk02lTPjgj1o5UKoVQKITOzk6cO3cO0WjUdPq1mSiqGe+t\nQG1PkdgrnE4nzpw507AU22wUUS6XsbS0hFKphBMnTqC3txc8z4NhGEXLg7TjTCqVwurqqlj0Ew6H\nNbUWa8bTFw/D4QD+/qUoOrxu/B8/N4X5o+3RPkurp5I8YDTzVAL7U9Xq97owOaheOW3m2FqQFkZJ\nj1ksFhGPx1GtVnHv3j1dI7jsPPdCodASlgm7OZCiqHTzCYKAeDyOcDiMnp4e+P1+zM3NmXofPaIo\nbdZ96tQp8cncbPVoo1ZpzYz3ViAXRWKvKJfLokA1O3+jC6YgCFhcXEQikcD09DSGhoY0HUcaHZFB\nz8QEThpWb29v1xWnkHJ9rYvN+y8cxsXuB02wBwf7m79AB/uxX2rEU0munV3dW1p5lqIS5LvHMAxY\nlsXMzAwA7SO49ESVeu+pgzBgGDigoiiFTH8Ph8MIBAK4cOECOjs78dJLL5k+thZRzOVyCIVC4Hle\nsVm32X1JtS++dOiunWlLIooMw4gN0fXYK4zMVOR5XkxHSdPAcvQsCmomcFJYkcvlalJg0nmLXV1d\n+9qabT9p5qkke5WpVAqFQgHd3d2WeSqB9h0bJRdcrSO4qtWqpubeRh6aDsKEDOCAi2IymRRTlWfP\nnq0zoVsxaFhNFAuFAkKhkDhSSc3mYMVMRSmZTAaLi4vwer1NjfdSjC4AgiCgUCjg1q1bOH78OGZn\nZ3WLkVZbC4l8w+EwDh06hGAwiPHxcVsN1kqFFfJ5i8vLyzXdUohY2tmertX3feSpwzt37mByclLs\nXyq9bkY9lUD7RYrSY+tpw0YQBKFuv1c+gisQCBgSxWw2SyPFR5VcLod79+7B6/WqzhUkaUszT/hK\n3VzK5TJCoRAKhQKmp6drnvyUsGJ8FGDMeE8w0r2D2CtWVlYgCELDBgON0Opz3N3dxeLiIoLBIC5f\nvgyfz4dkMrkvXUfU5i2SbinSNCIxhrMsi66uLssmY7TChBA9kN6ngUBAk6dSqx/Q7kjRrgyAUcFV\n2++VjuCKxWJ1VcRa9slppPgI43Q6mwoDsWWY+dK73W4xnabUrFvL4kfM80YplUoolUp46623dBvv\nCXoM+IIgIBaLIRwOY3BwEFeuXMFrr71meGFqlj7N5/NYXFwEgLoHnGZVxnvZRcXhcMDvr++WEgqF\n4HQ6xc4oSlWce2UT2U/U/hZaPZX5fB4AajyVxFfZrpGilVWn0iYOAwMDqFQqOHfunK4RXJlMxrIW\ni8eOHUNXVxdcLhfcbndLWTMOpCh2dXXt2UzFSqUiFnvonacIGE+fEuN9Op2Gx+PB/Py84RtYa7GP\nmr3CTNSiVihUqVQQCoWQz+dx4sQJRbFvJIoOh6MlUozEJylvVt3IJkIW/UaLZit8Nj3oFS8tnsqV\nlRWUSiUAtcVTVkXj7Sq4xKOodQTXjRs38Ad/8Afo7e3F8PAwXnjhBZw/fx7Hjx839fm/973vGbaa\n2cmBFEUtmBVF0oVmZ2cHs7OzhkdI6U2fktFVsVgMx44dw8mTJ3Hr1i1T7eaaeQ2l9gq1dLRR5FGq\ndDTX1NQUTp06pbrAmem7up80s4mQBZ9hmLr9NpL+arf0qRVRu9xTCQCxWEyMcKSeSpfLVVMMZSQa\ntztS3K/9SvkIrtnZWTzxxBP49Kc/DUEQcPfuXfzDP/wDfD4f/vEf/9GWc9xPqCiqYHTQsNQAPzw8\njL6+PoyPjxs+D62RoprxnhyD4zjDlXxq/VNLpRJCoVCN/89qSPpUukdJRnM1e8hoR3FQQ80mUqlU\nxKIKqU2kUqlgc3NTt01kv7BzJJXX68Xg4KCip1IejWvxVBLaVRSNtJ4kD5iPP/44fvEXf9H0OTgc\nDjz++ONwuVz47d/+bXzsYx8zfUyrOJCiaMdMRWnfzsOHD+PatWvgeR5vvPGGmVNtmrrUYry3enyU\nUXuFURKJBO7cuYPBwUFcu3ZNs7i3iygaPUdp+ku+3/bqq6+CZdm2sYnstXnfjKeSGOfbPX2qFysL\nbX70ox9hbGwMsVgM733ve3Hy5Em8+93vtuTYZmmdu6LF0CqK0t6o8r6dPM9bsi+pJGh6jPdWjY/i\nOA4rKyvY2trCsWPHdNsr9JJOp5FIJMAwjCEvZTukT+24fh6PBy6XC0ePHhV/pscmsl/7kfs9p1Gr\np7JYLMLhcIBhGOzs7KCvr88ST6WUVosUgQeWDKsKbcbGxgAAw8PDeOqpp3Dz5k0qivuJlpvP4/GI\nT9hKkCrL5eVl9PX1KfZGNWI8l6OUPtVrvLdCFHd2dnD//v09GaRcLBaxuLgIjuMwMDCAsbExQ80F\n2iVS3Av02EQ8Hk9NREkKU9rxWlphm1Bqx8ZxHF5//XW43W7LPJVS9tsDqUQ2mzVUvS6HzKPs6upC\noVDAd77zHfzRH/2R6eNaxYEURcD4TEXSAScUCqGrqwsXL160tYm1VNCMGu+NiiIR/o2NDfT29ppq\nA6clPSatmD1x4gQGBgawsLBgKr2o9FpBELC5uYnt7e2a/aN2GhLbDC2fQ80mIjV/y20iDMMgk8m0\njU3ErhSny+WCw+HA2NiYeB20eCrJQ0aza2d3pGhkzbIqfbqzs4OnnnpKPJcPfehDePLJJ00f1yoO\nrCg2Q0kUd3d3sbS0hI6ODl2iZAYyD/H1118Hz/OYnZ3V3VXCyKBhYoYPBAIYHx+H3+83LIjN+pdK\n07Jy24qZFKiSnSOVSmFxcRHd3d04duyYONJnc3OzJkoi/8jNzHvpbTSDmajO6/ViYGCgprEEy7LI\n5XJIpVKGbSL7wV62edPiqZRPw5BWv0qvnV29YMmxjQhupVJBZ2en6fefnJw0XWthJ1QUVSDjo4AH\nT0jEZC1t1q0Vowspqe4sl8s4c+aM4dSFHq9jLpfD0tISHA6HaK9YXV01tTenVpRAIrZoNIrR0VHF\ntKwZUZSmrwuFAhYWFuBwOMSWfgzDoKurSzFKImbmUqkkph6r1SpyuRyCwWDLV3NajdvtRnd3N3w+\nH06ePAlAv01kP7C7o5HWrRgtnkrptatWqyiVSrZcOzOzFNvhgdAsB1YUm6VPPR4PyuWyGKFNT08b\n2pJi9+UAACAASURBVGQ20i5Omkacnp42ncvXEik2sleY7aqjJGyJRAJLS0vo6+trODzZzL4sKYZ4\n6623kM1mMTs7K15HtWM2ipLi8TjW1tbEQgtSzUkWf6PpLjv26uyyN0iPq8cmIk8h7pVNZD/a/GlB\nyVNJrh0ZvRUOh1EqlcQep9IOM2ZSq0arT9slS2KWAyuKjSgWi1haWkI+n69ZSI1A0rBavoRKxnuH\nw4GlpSXD7w+8k4JVgmEYRCIRpFIp1fZzZqs4paKczWaxsLAAr9eL8+fPN01BNxp91QiO45DNZhGL\nxTAzM4O5uTnDN7Tb7UZfXx86Ojpw8uRJ8UGH+Ny2t7eRy+Xq0oldXV1NU852LTJ2CK2WRbGRTaTR\nNBGWZQ0v1s3OuRVFUQnptfN6vTh79iwAazyVUoykT41WrLYjB1YUlb48ZIhsLpfD9PQ08vm86Wor\nLUUuPM9jdXVV0XhPztXME6/b7QbDMDU/k9srTpw4oXpDWVG9SipKK5UKTpw4oTnq1ivIgiBge3sb\ny8vL8Hg8OHnyZE15vVVIe0kS5OnEaDQqFjVIqznbtaDHTKTQbJoIy7J44403LLeJ2Lk3Zxfy66zF\nU7m+vg6GYWoqh9WGERt5+DgoEzKAAyyKUqRm9MnJSbF1GGk0bYZGfke58f7atWuKX1ZyDKNFDNI2\nbdL3VNvHU3q90UiRRAhvvfUWZmdndRv99bz37u4uFhYW0N3djStXrmBlZcVS8WmWcldLJ5bLZXGf\nUl7QUy6XTQ1SbnSudmDlcaUDmjc2NjA/P6/bJtIMOzvl2IWWSK6Rp5KkrqWeSukwYpZldT8oHJQJ\nGcABF8VqtYpoNIp4PG6bGV1JFKWTJAYGBppaHazoSMOyLGKxGEKhUFOzvxXvL41+PR4PZmdnDd1U\njVK/hEKhgMXFRQiCgDNnzoj7NFZ764wcT1qRqFTQs7a2hp2dHWxvb9eIhNl9N7vSp3YgFa5mNpFc\nLqdrmohde4p27q+ZsWMo7YlLx0aR+Yq3bt2qyWA081RaOSGj1TmwohiPx/H222/j6NGjDSezm72p\n5KJIjPddXV2au7SYnalYLBaxvb0NjuNs7wwjTV+OjIzg+vXrpr2Gau9NCpIymQxmZmbqZlO2ckcb\nsngVCgV4vV6MjIyIBT3S0n0rC3oIvCAgX+HgcTnQ6dF+LDujrmbHVSuAajZNxK69sHbqeypP9afT\naVy5cqUmg6HmqSQPZlZ2s2l1Dqwo9vX1NU0dmk1bSo9h1HgPGB8fRWYNsiyL7u5unDlzRvcxyPtr\nHR1FPIBk0C9gna2CwPM8VlZWsLm52XAcVytEinogBT3yfTdpQU8+nwfHcaLHTa2gR01kigyHf39z\nG+vpMiAAPzXVj3dNats33+v+pM3QMk0km83i9ddfr9unNGt1aNe+p1JrhVIGQ+6p3N3dxTPPPIPh\n4WF0dHTgxRdfxPnz502PfOI4DpcvX8bY2Bi+8Y1vmDqW1RxYUfR6vZpnKpoRRY7jsLGxgY6ODkPG\ne0B/+rJcLiMUCqFYLGJmZgY+nw8LCwu635fQTNTy+TwWFhbgdDpx9uxZBAIBXa/X+t6k32s4HBaj\n0EaLRzMR07so7kerM6MFPRzHKYrY9xYTWE+XMdrTAY4X8INQEod7fDg+0PwhbT8jRa3I93VzuRzO\nnj0LjuMstYm0U6QopdkIOaWCqB/+8If4/Oc/j8XFRXzrW9/Cn/3Zn8Hr9eLb3/624fN4/vnnMTc3\nh2w2a/gYdnFgRVELZmYqlkolhMNh7O7uoq+vz3CURs5DiyhWq1UsLy8jmUxienpatFdUKhVLp2QQ\niPgWCgXVQb+ANV1pSIedYDBYE4U2wur0aav0/9RS0FOpVHDr1q2aDj3BYBAb6TL6/Q+iSpfTAbfT\ngWSe2VdRtLvrjMvlgsfj0W0TaTRNpF0jRSOVp8Qm8vjjj+OjH/2o6XNYX1/HN7/5TXzqU5/CX/7l\nX5o+ntUcWFG0Y3wUUFvJOjU1heHhYaTTaaOnCaB5+pTjOKyurmJzcxMTExN19gorLBXS17Msi0gk\ngng8jqmpKZw+fbrh9TTSZo5QrVaxs7ODfD6ve4Bxq4jYXiBPhyWTSVy5cqWmQCUejyMfz2KnBIz0\ndMLj9aJYcaKrQ9sC3A6RotKx1cSrmU2k0TQRO317rTghg9jUrOCZZ57Bn//5nyOXy1lyPKs5sKKo\nBT2DhqUT4Y8fPy5Wsu7u7poeH6UmaoIgiIN3G9krrKhe5XkePM9jfX0dq6urDQuU5Bgx4FerVYTD\nYSQSCQSDQVy6dEn3eTd7X72LsR0ia5dwk2PKC1SOTFXxzz/ZxE66ACbHYCLII73yNl5dc9YU9AQC\ngbqIoh0jRb1onSZSKBQgCAJcLpdum0gzWnFCRiaTsWRCxje+8Q0MDw9jfn4e3//+900fzw6oKDZA\nS6QoN97LJ8KbScFKj1GpVMT/FgQB8XgcoVBIk6XDihuVYRjcuHEDQ0NDuH79uq4bS48oS6/nsWPH\nMDIygvX1dUPn3EgUy+UyVldX0dnZqXlBexQiz55ODz7y2BGkClW4XQ70+z1wOByaCnrsotXbhynZ\nRBKJhLg1otcm0oxWS58C1s1S/PGPf4yvf/3r+Na3voVyuYxsNosPf/jD+OpXv2r62FZxYEXRbPpU\nGqWNjIw0Nd6bwe12o1gsAnhnUoff7zdkr9AL2ctjWRbXrl0z9H5Op7NpxC31bh46dEiMekn7NCMo\nVa5yHIdIJIJYLIbR0VFUKhVxQZM+9asVXrSLKDb6fntcThzqrt2TVSvoIVNEkskk0uk0yuUy3nzz\nTUs79LS6KCrB8zw8Ho8hm0izaSIsy1oyjUIJo4Jr1SzF5557Ds899xwA4Pvf/z7+4i/+oqUEETjA\noghobwouRW68b9TMGjDvMQQeLFilUgmvvfYaABia1KEXYojneR6nT5/Gm2++aViAmzX1TqfTWFxc\nhN/vx/z8fE0RjdkiHfK+giBga2sLkUhEHJTMsmzNgsyybF3hhcPhqPG8tarv0Q6cTqfYNWVkZASZ\nTAZbW1uYmJhQ7dBDFn09qcRWSp9qRU1ctNhEmk0TacVIkZr3KQCUjfehUEjc49IiEkY9hoRyuYyV\nlRVkMhlcuHDBkqe1RjAMg1AohGw2q2iIN4K8UIdQKpXEKHRubk4xRWcmZUleS9q/9fT0NHyIcbvd\n6O3trem8w3GcKJSlUglvvfWWKBZSEbC6kXUrQopWGnXoIQUqJPLW0qGnXSNFrUKud5oIeVjz+XyW\nTxMxKoq5XM5yUXzPe96D97znPZYe0woe/TvZBFLj/dLSEjweD86cOVPnw2uE0dFHUnsFme5tVhCb\nDfqNRqPY3t7G5OSkqakScuTRHvlsqVQKMzMzDY3AZvuubm1tIZvN1rR/04PL5RKf/HO5HMbHxxEI\nBMQUGfFNchxXV8qvtY1eu6RkG31/Go3ckg/Xle+52dmKzS44jjPlX240TeTevXsQBEG3TUTreWux\nMym9zuiQ8XbjQItisyikWq0iHo+Lkx32oku8kr2iXC4jlUqZOq7aXEfp3ujY2FhdoZD8d40IJRE2\nnuextraG9fV1RetIo9fqgWVZhMNhxGIxdHV14cKFC7rPudk5yYtP5ENjiaGeFPKQf+QLaTtFSHr/\n/s069JAHCoZh4HA4app+mxEco+erB7uE3OPxwO12Y2xsTOx6pdUmomVv1+iA4XZ5cLOCAy2KahBT\nej6fh8/nw/z8vO3v2cheYTYFS44hFRdBEMRBv1orWI0uMg6HA/l8XqxeVStKUkJPpC0IQo1lZG5u\nDolEQvf5qtHoIUptaCwpVNnd3cXq6iqq1WrNXlK1WrVEAPYCK0RGqaAnHo8jmUzC5/PVdeiRFj7p\nLehpV4O9/NhabSJapokYFUWgvR7gzHCgRVH+R5Yb7+fm5nDz5k1L3kttQdFir7CqWIe0rCN9WH0+\nHy5evKip0o1EmkZGzty/fx8sy+Lq1au6i3W0ehyJwPf394uiu7u7u68dbaSl/GS8D+k8Q/Yp4/E4\nWJZFPB6viSgbTSzYL+w073d0dGBkZETzyC0tBT12d8rZT8E1Ok1EXjiohXK5bFs1bCtyoEWRoGa8\nB6zZl1BLXRJ7RWdnZ0NxsqJdmcvlQrFYxNLSEqrVqu4+rOQzaN1XKJVKWFpaAsMwmJycRCwWM2zn\n0NJ31eVy4fz58zWN1huJmCAIYkrX6XRqbkJgFmnnmaGhIXi9XjidTgwMDIiLmbToQiqUVpnDjbIX\no6MIzUZuaSno2W/h2o9jN5smUigUcP/+fQDQbBM5SJWnwAEXRZ7nEY1GVY33VkEKdogo5vN5LC0t\nQRCEPbFXMAyDbDaLbDaLkydPGupwr1WYWZbF8vIyEomEWERTKpWwvb1t5NRVRUA6Nmp2dlaxCElJ\nFMl/SyNvjuPE/yZdSsj77pVP0efzwefz1fxtGIYRI0qpl1IulGoVnXaw3x1t9BT0dHR0oFwuI51O\nW14hbKfgWh2RS20iOzs7OH/+PJxOp6pNRD5j0SpRLJfLePe7341KpQKWZfH000/j2WefteATWsuB\nFsWdnR1wHKdrj8sIRBS1NtC2CmnRjs/nw+TkpGGLRbOuNKQF3NraWl0LODORriAIWNzlkLm3g7He\nDpweCWJtbQ0bGxsNx0Ypva80OiSFHeTcyb95nhd/D4A4bYI8uVvtU2wUzXq9XvT396O/v1/8GRGA\nXC6HlZUVcbK6dO/NroiyVXufqhX0xONxrK+vY2dnB6FQCDzP13ToMVPQY2ekaCekQTr5zjSzifzO\n7/yOmOX6yle+ggsXLuDUqVOGrpvP58N//dd/IRgMolqt4qd/+qfxC7/wC7h+/brVH9MUB1oUR0dH\nmxawWDFo2Ol0Ynl5Gfl8vmZ6hV1IjeqHDx/G9evXEQ6HTS3oasIm3RNVK6JR8ylq+Rz/6wdRfP0+\ng+DGCthqFdeGWDx9aazp2CjgHcGRiiH5ufT6S8WbIBfKTCaD3d1dDA8Po1qtip49pdfaiZoAkIhy\nY2MD+XwehUIBb7/9tqXDie0URauvn8vlgt/vRzAYxOzsLID6Dj1mCnqajWBqZdQ+m5JN5Ec/+hH+\n7d/+Dd/85jeRTqfx2c9+FpFIBP/93/9taPQayYpVq1VUq9WW2zcHDrgoavmDeDwewzMVSaQWj8fF\nitJmN78gCPhxOIlXomn4PS78jzOHMDHg11z9mUwmsbi4iN7e3hqjuhVNweWvz2azWFhYgM/na9jM\nwGikuL5bwvcXE+jxAm6uCK/LidfSHfjfx49pXpA4jhNvPrkYNoL8nRiGwdLSEliWFWdFSiNKck1I\nRLkfQin1UgIPvkO3bt3C2NiYuEdJ2uXJmw7o8Z7Z2RDcjkyN/GFW3qEHqC980lrQY6ToTAut2MiA\n4zicPXsWzzzzjCXHmp+fRygUwu/+7u/i2rVrFpyhtRxoUdSC2+3WXTYvCAI2NzcRjUZx+PBhHDly\nBF1dXZpuov9eTOBfXttEn9+DHY7HX30vjP/zvTOqxTqEXC6HxcVFxYITwJrxUUTYyuUylpaWUC6X\nNRXsGBXFdKGMcqkIH3gEg73weNyI5xmUqhyCHepfXZKO9Hg8EAQBN2/ehNfrFa0AXV1dTSevcxyH\nlZUVxGIxTE1N1Ris5X9HedpVPuDX4XDsqVAScVYbTiz3u5GISs1LKT1uK6ZP1dCS4ZEXPhHUCnqk\nVho7sHuMlpG95nQ6bVmhjcvlwu3bt5FOp/HUU0/h7t27pmbN2sGBFkWrZyqSVGI4HEZ/f78YqZE0\njRZ+HE5hMOiB3/vgT7O+W8Zb2zn0PLRUyEWRCFSpVMKJEydqWpRJsSJSJFFTPB7XlQbWa2Ug3XUS\nG9voC3YgmWEBpxPxPIPx3k70B9QfUKSpUpfLJRr3K5UKstms2Ki5VCrB6/Wiq6tLFEryIBGLxbC8\nvIzR0VFcvXq16cKqVL0qFUl5REmuiRnvpxGkXsrDhw8DeHC9iFDKvZTypgPtNjrKzHGbFfRUKhW8\n/vrrAOo79JiJeu3cqzSa8s3lcjh+/Lil59Lb24uf/dmfxX/8x39QUWw3tIoiaWrd2dmJCxcu1Ngr\n9PgMPS4HitV3BESAAI/TUXeMarWKSCSCRCKhSaBcLlfN+Ck98DyPbDaL9fV1TE5Oap6jSNC6kAqC\ngO3tbVGQfuanH8OJcxX88T/fQJnlcWa0G//z3cfhcir7PRvtG/p8PgwNDdVFA0QoySBjUoE3Pj6O\n/v5+wyJAro90EZILJcMw4vgheYp3r1KvDodDTCkSpB7BTCaD9fV18bvj8/nEhwmrvJR2iq3VVZxk\nP3d7extXrlyp69BjtqCnFYcXZ7NZ1YdtPcTjcXg8HvT29qJUKuG73/0uPvnJT5o+rtVQUWxCs0HD\nUnuFWlNr+TzERvzCmUP42x9FUWQ4cBzQ7/fi/HgPVsPb4pSGtbU1rK2tYWJiQrNAGY0USRGN2+3G\n8ePHcfToUd3H0EI6ncbCwgK6urpq9kLHejvx62d8eNe7lLsKNRPDRni9XgwODqK7uxulUgkdHR2Y\nm5uDIAjIZrMIhUIoFovi/hKJKAOBgOF2d+Tf29vbiEajGB8fx+HDh2sKgoD6iFKPUJoVGSWPoCAI\niEajYBgGhUJB9FJK9960pKWVsDNStLsYRsvILT0FPY/yhIytrS382q/9GjiOA8/z+OAHP4j3ve99\npo9rNQdaFM2kT/XYK/SkYM+O9eCZn5vGnY0M/F43rh7rQ3enB06nE/F4HPfu3cPw8LCtg36BBymT\nhYUFeL1eXLhwAYlEwhbvm3RSxunTp1U9m/KFXuo3JP+fkcV4bW0Nm5ubmJycxPDwsHgMadqsWq2K\nEaXcME4WRK1CSYqTurq6cPnyZcVCF2lEKRV8aTHPfkSUHo8HPp8Po6Oj4s+le2+xWAylUkmzl5LQ\nbmnZZhgp6JGOJ7PLHmY0CrUqUjx37pyYcm5lDrQoAs33u0ihDUGatpyamsLp06eb3tB6Bw1PDQUw\nNfROOmt3d1dsbi2fN6gVraJIxL5YLGJ2dlZ8QjSTflWCZVlEIhHE43HMzMzUpDXlkP6n0i5DUr+h\n3oWP9H0Nh8MYHh7G1atXGy4WSsNkq9UqcrkcstkslpeX64RSPiqJjOQqlUo4efJkw0n2zVKvzYTS\nLpTES2nvrVqtiov/ysoKCoVCTRN1+bVptwIeI2gp6EkkEjVDtRsNuzZCo0K9RmQyGUtEsV048KLY\nDI/Hg2KxCJ7nsbq6io2NDV1pS0C/KBLy+TwWFxcBACMjI+jp6TEkiEBzUSSt7ki1pTRqAqxpNQfU\nNj4/cuSIputIvKLk30ZSpQRyTUkEbHRwssfjUTTWk4gyGo2KYuBwOFAqlXD06FHMzs4aelrXskdJ\nrgvp6MKyrKURpVaR8Xg8dV5KpQHOwIMilWKxCL/fj+7ubktTh3ZaPawSW/lDRTweRzabRX9/f9OR\nW3o/m9EoNJvN2t5opJU48KLYLFJ0uVxIp9N4+eWXRSO83htXb0PvSqUiTukgqdnV1VXLfYZArUiN\nj4+ripTZ6lXgHQ9lX19f06kcUpxOp2iYB4yJIZnhSIYn2/Hk63a7a4QylUphcXERwWAQQ0NDyOfz\nuHXrVk3U1N3djWAwaEi05ELJcRzC4TB2d3cxPT1d00xd+rcjQm0kwjYqBmoDnAuFApaWlpBMJrG1\ntQVBECydHWjHBBK7e6oqPVQojdwidhqtBT1GRZE8tBwUDrwoqkFSbAsLCwCAq1evGr7BtEaK0sbk\nU1NTOHXqlLgIuVwuU94oJVGTTpZoJlJmIsVCoYBisYiVlRVFD6UapPjE6/Xi7t3/v703j46jurbG\nd0vq1jxYkzXPQ7cs2bIkD/hnk8XigxAeeS8MjyEQSBic92ECxJB4gR8Q4IsDYbIhzBjeCmFhQmYw\n8UtCwgKDLQ/YYCOpNc+z1PNY3V2/P8wt3271UNVVXZLt2mtlrZDQVbfU1ffcc84+e5/kBtQzMjJ4\nfxc+nw9jY2OCPBzFwul0oru7GyzLYtWqVQuE3r1eL1d6HR4ehtVq5cYlSOmV71wrcOrvRMZISkpK\nUFtb6/eMoTJKkkkC/AKl1OVIQlJJTk5GWVkZZzhMNv/AWUq6/MrnQBULpRwgtgSeUESbYIQeepyG\nD6EnGhIPOYguRm92saAExSCgxysaGhowNDQk6sQZyQ+RbNzDw8MoKSkJKkweHx8fle0L/XkSFMmg\nf0JCAu8gFU2myDAM+vr6YDQakZSUhJUrV/I+qdL9s4aGBm7O0GAwcOLFycnJ3EYRLFDOz89zfpFr\n1qyJqb4t4D/wX1tbG1JnNj4+PmjWRHpLo6OjsFqtALAgowzc1Gw2G6cq1NraGvQ9DVV6Jfelma/h\nMko5en/BDJxDbf60yS7Z/GnEKqOLlZoNuTbfvYYep+FD6PH5fEhPT4fNZhOsj7tUerNy4JwPivSX\nTcYrfD4fN15BNPqkugcNWjc0Nzc3rDC5WE9FkmmePHkSNpsN9fX1gkqIQjJFwuocHR1FRUUF6uvr\nceTIEV6fDzViQUgKtC8hbeBLAmVKSgqn7K9Wq7Fy5cqYe8GR77G/vx+FhYW8Bv4DESpQWq1WbkaU\nBMq0tDSkpqbCYrFwhCih5eBweq+hAiXDMH7fjVSBIVKwDbX50ya7ZJaSFh1wu90x2cyXqm0UEJ7Q\no9frOYJboEJPKEKP1LOeZwLO+aAInCp39fX1wWq1ora21o88ES1JJhJMJhP0ej2Sk5PD6oYSRMo2\nw4EoxNhsNt6M2WD35xOUZ2Zm0NPTs0AcPFJQFTpvqFItNPBlGIZT3MnIyADDMDh+/DhH4iClSSn7\nTHSmtnr16qiJUMEQqGkKnNbTHR4e5t6Zrq4urvRKnlEMmScwUBI7MLPZjOLi4gV6r+GstvggmoyO\n/v7pWUri8kAOS6RKIXaWUux6+SJWAVej0UCj0XCEPSA8+SktLQ1TU1PIy8sLy5Tmi5GREdx4442Y\nmpqCSqXC5s2bcdddd4m+bixwzgfFyclJ9PT0LOjhEUh9SrLb7eju7obX6w057B8M0WSKtAZrcXGx\n30lbKCIFNXquMZhhcjiXDbrfFQ2JhriCEEarTqfzG99wOBwwm81c6Y1hmAWlVyHC2MBp30ij0eg3\nuhJLEEPl5ORkrF+/ngvuPp+PyyjHx8dhtVrh8/kW9CiFlo/p0ZXS0lLOfJuP1ZYQYXSpyrKBLg8u\nlwslJSXQaDTc5k9mKcUYOC/lTDEcAok24chPFosFe/bswf79+zE5OYlrr70Wq1evxurVq3HBBRcI\n/r0kJCTgqaeeQktLCywWC1pbW3HRRRehoaFBsueTCud8UMzNzUVOTk7MG8ksy6KjowMmkwl1dXWC\nfQ2FZorBmJ7j4+NCl+13/2BBmeihWq3WsGW8YEFR7LwhcKr/29PTg4yMjKDD8HRGQZfe6B7VwMAA\n16OKFCjpAFxWVraA1BILRArAocS/bTYbzGYzd/AjLhl0RhkqUNrtdu6QE9irDBXsggmjA/7qPKGy\n0VhqnxID52BzpoEGzpHKibFcLxB7mbdIByOa0PPkk0/iyy+/xPPPP48HHngAx44dw9///nd84xvf\nEHzvwsJCTm83PT0dOp0OY2NjSlBciiDWUJEQ7WmWkC/sdjvKysr8shgh4Fu+JNlEKLeMaBEY1Hw+\nH4aGhjg1mGBZdqjPi5FmIyAiA263Gw0NDX7anZEQqkdlt9u5jJIESsJ6JAGnv78/ZACWGizLYmpq\nCgMDAygtLRUUgGnCSnFxMQD/QEl0Or1eLzcCQcg8o6OjmJmZEWyEHUkYPVSgJP+O1AgXvELNmQaW\nE1Uq1YJAuRRFu/kgmoBrNBqxbNky6HQ66HQ6fPe73xW9jsHBQRw7dmxJ2kYBSlDktcmQDV3IC0WX\nLouKipCdnY3c3FxRc17hgmKw2cZQ6xITlMlG3dfXJ2huk3ye6B4C0QXDcJZOYkAHykAHifn5eej1\nerhcLmg0GrhcLoyNjXHZViyCI10qDcUqFYpgzE5iJ0XGQ+bn55GQkIDMzEyYTCb4fL6oysv0PYHg\nogNerxfj4+PcoZQQ2qQSRhea0YUqJ9IGzjabDW63G2q1mlMwEuuMQSOWMm/RBHOpJN4IrFYrrrzy\nSuzcuTOi5dxi4ZwPinxARMH5vlBk/m/ZsmWcuLXFYhFF2AnlXk9INJOTkyH7ogRirIrInNPhw4eR\nkpKCtrY23qQSck+TyYSkpCSo1eqo+oZCLZ3EgmVZzM3NYWxsjFP5AcAFEWITRubo6LJktEGElEpJ\nmT3Wvcq4uDgkJCRgdnYWKpUKGzZsQGJiItdXmp2dRX9/Pzwej19GKYawFBcXB4vFgq6uLmRmZnLf\nZbBZSjHC6FKUOYORnQjTNT4+3m+QPlB0IJp3IJbjHtH89s1ms2TvIMMwuPLKK3H99dfjiiuukOSa\nscA5HxTFiIIHwmw2o7u7G2q1ekHpUiyLNXCdpLc1MDCAoqKioLONgSDZmtAfHRlGdzqdaG5uFsRG\nIxtcQUEBxsbGMDEx4UcC4cOWJHOVUmZNkTA3N8eNygRqowbLKOmB82gCJbHNGhwcFFwqjRZkdGZi\nYgI1NTXIzc3l/r9Qvotmsxmzs7MYGBgAwzDcM5JgGem7Iao7JpMpqAYsHxk7voEyVr0/lmWRkpLC\n/W3IvULNUgb6UobDYomYh4JUDhksy+KWW26BTqfD1q1bJVhZ7HDOB0U+iBTQHA4Henp64HK5Qp7u\npRztIPJhmZmZfjZLkUCCIt8TLK2HWlNTA4vFwjsgBvYNSXMd8O9tTUxMoLu7mxssJkEkLS0NXq+X\nE9Guq6uThBoeCcS1AwDvGUfSdwoMIuQZ6UBJZ1sZGRlISEjgSqUkA491rxI4bdWVm5uLNWvWRKyC\nhCsvWywWzM/PRxRVIDO5wVR3gkGsMHosh/cDqyS0gTNB4CwtbeAczkJqKc0Fms1mVFRUiL7OA+SS\nnQAAIABJREFUp59+ijfffBNNTU2c8feOHTtw6aWXir621FCCIg8EOmUQED3N+fl57qQd6oUWO3wP\nnPoxfv7551CpVGhqahJELgH4k3Xofiith9rb28vrs5FINKFIIPSg+tzcHBiGQVZWFvLz87nrxnI+\nbHBwkDNtFsoODgQdKAnoQDk9Pc25kQCn2HmBIuyxAGELu1wuNDY2Cn6HaIQbqqfVh1wuFxiGgUaj\nQXl5OXJycqJ+Tr7C6A6HAwzD+ImiSyWMzvc9DDZLG0pxhhg3ezwezttTynch2t+OVJnixo0bY0Km\nigXO+aDIV/WfzvICHTP46GmKGb4ntkNOpxMrVqzwY8wJAZ+gaDAYoNfrBWehYucNyVgBGb4uKSlB\nSUkJt8GOjIzAYrFwAZX2MRSz0dG9yuLiYqxZsyZmgZcESuK9SIS7MzMz/ZzbSUbJZ3SCL4jw+8jI\nyALvSCkRGAhGRkYwNjaG2tpaxMfHcyMiRH2GfsZgprt8QAdKwoqemprCihUrEB8fL1mPkkAM+zSU\n4gx57ycmJtDT0wOn0ylqljIQ0RJ4LBbLOWUbBShBEQA/T0WPx8P1ffr7+1FQUCDIMSNUthkOhGk5\nMTGByspKmM1mUYytcEGRiAr4fL6wWWiwZr0U84Y2m43rx9KWThqNZoGiCxHTHhoagtVqjdrwl5Qt\nk5KSZOtVEpGDtLQ0v1Jpeno6Z95LM0LpQElKbkIDJU1qkUMDFjhVduvq6uLE5snvJDBjMpvNMJlM\nGBkZ8ZNpI9+lkEBpMpnQ1dWFvLy8oESsSD1KgJ8weiwqFomJidBoNEhMTMTKlSsBnDoMk4ySnqUU\nYuBMEG1QlCpTPJOgBEUeSEhIgMFgQHt7OzIyMgRlUPQ1HA4Hr3+XDr702MPExETURqFA8KDo8XjQ\n19eH+fn5iKIC5PPk/lLMGwq1dAqmEUp8DInhr81mQ0JCgl9fiz5l0/eUg+EZeE8+JsOk9EoHSnrG\nkAzj06o1gX6E5Lu1WCwR7ykVPB4PNxrU0NDgVz6mEUrPlgi/m81mjI2Nwel0IjEx0e8ZA0uL5J42\nmy1sSZhP6ZX893AOIrGaUwy8rkajCTpLSUQHyPxz4CxlMCuyaNd8rnkpAkpQBBA+U7RarRgaGoLH\n40FLS0vUPRi+RBtSvgwWfMV6GtKf9/l8GB0dxcjICO8SMJnXlCIY0uU8sZZOgT6GwKkgRDbX6elp\n2O12qNVqxMXFwWq1oqysDK2trbKMdRAFHDHPGWrGMJhqDQlERqMRFRUVsthl0WVoYqYs9J60TFsw\nPVMiY0cCJflbTE9Po7y8PKp7RuMg4na7uX8vmnc/FPgEroSEhKBei/QsJS0cT94ZhmGiNhhWyqcK\nAJxWTLHZbCguLobVahVFSogUFEn5kGVZNDY2Bj1hi+lLks97vV5ujjInJyesM0cg4uLi4PF4uJmy\naDcEOSyd1Gq1n6M5Ka2p1WoUFRXBaDRiYmICGo3GL6OUkuAQqlQqFYIRliwWCzo6OhAXF4dly5Zh\nfHwco6OjkgiGh4LD4UBXV1dQSTixCNQzJTCbzZzrQ3JyMkZGRjA1NeWXUUYr/B1Kio5hGOj1esTF\nxUGj0fgdUKUQRo82mws2S0mIaxaLBZOTkzAYDPB4PHC73X7l10i/PUKQOpegBMUAEGuVmZkZzlHC\narXCaDSKum6ogOZ2u7m5rXAefIB4BqvH48HY2BjS0tLQ3NwsyFKJZVmo1WpOTzUzM5N3746AHndo\namqSxc2bKP2EYlvS5TqShdAEENLXEgLiI0n0YOUoW3q9XgwMDGB+fh5arXbBBmmz2WAymbgRGJZl\nF/QohW7IhHA2OTmJurq6qAlgQkAqDKOjowtmK+mMcmpqiqsO0IeBaMgqJAseGBhAVVUVV+7lI4wu\nJFBKWZYN1MMl5KacnJywBs5paWlcEDxT2KJSQwmKOK2/SMqJpaWl3BgCcFrRRgwCAxqtHVpZWQmt\nVhszBithr87OziIvL4+bF+QDulRaV1fHnT6JFRUtIBzYuyMg845zc3MLrLliBXrDrqqqQl5eXtC/\nb2JiIvLy8rgshO5r0QSQSIbG5LN0qTSacl40IHOQRUVFaGtrW7D5hiq9BjprkEBJO2uE2qTJnGMo\nUkssYLVa0dXVxbUWAtdGhL9JoLS7vfh8cA4D82akG43IV0/C5XRArVb7kXnCBUqn08lVGAKz/XCe\nlNE4iMRSDNzj8UCtVocUZaBnTRmGwXvvvcfteZOTk35CBdHg5ptvxvvvv4/8/HycPHlS9PPEEiqB\np4Gz8ugwOTmJzs5O5OXlobKyckFJwePx4OjRo6IEbMk11q5dy0lDFRQUoKKigvcPoa+vT5D9Ez06\nUllZCZVKBbvdjurq6oif5ds3JG4DJpMJZrOZO51nZmYiPT0dTqcT4+PjKC0tRXFxsSyb59zcHHp6\nepCfn4/y8nLRGw3NlCT/IYbGZGNVqVTo6+tDRkYGqqqqZBnAdzgcnPh7XV2daC9HOlCazeYFgZJk\nzf39/XA6ndBqtbJk+z6fDwMDA5ibm4NWq+XFwGa8Puz7ahomhwcpiXEw2z2oyU/FxpocuN1uLqMk\nRs304Y5klKT0HKmCw/cZgpF6yG+KjOiYTCbU1NSIulcwDA4O+nlPhgPLsujt7cUnn3yC5557DjU1\nNdxv+JVXXuFK9ULw8ccfIy0tDTfeeONiBkVeJ1QlUwSQlJQU1uhXLMGFXMPlcuHQoUNcj0noJsa3\nfErKPX19fVi+fDnHXp2ZmYn4eaHzhsHcBtxuN8bHx9HT0wMA3L3dbnfUJUk+IGMlcXFxfmMdYhGK\nKelwOLj+qMPhkE0snJ7Fk7JsGcqCirjb9/T0wGQyITExEcuWLeMEFtLS0mKW4RDiWUFBQdAsOBSM\nDgbzdgYFGafesxR1PPpmbVhbsQwajcav3wycJmaRWUGj0YiEhATOl9FqtfIefwiGSA4i5DeTnZ0t\nuTA6IKw0q1KpUFtbi4yMDLz33nvYt28fV7aOVoD//PPPx+DgYFSflRtKUAQ4JYlQEFsCI5u12+1G\nS0tLSJp6JPApnxICQrBAHym4E+cCEgyj+SHSlk6rV69GWlqaX0nSaDRieHiYkwPLzMyM2uiXgPTT\n5CzPAqc27JGREVRUVHDZezCxcCkH8YnE3/Lly2UpWxLB8JmZGaSkpGDVqlWIj4/nxgLGxsZgsVgA\nYAGZR8zaGIbhhthXrVolqP8NAHEBjHIfC6igQqifslqtxrJly2A2m8EwDFpbW5GSksJllAMDA7DZ\nbNzBgZRfxYhHkM8R0XVS5pdaGB2Ibk6RZp6qVCqUlJQI+vyZCiUoxhCEcGEwGFBXVwe73R51QARO\nZYqEDh4Ip9PJbSL19fVBS0yhgqIUIxaBlk605F0oqj1Rqwl0YsjIyODKr+F+yLTfYKzVaGiQgwfp\nbdFrDNQHJYP4JpNpwdiEEDaoy+VCT08PPB5PVEEiGvh8PgwODmJmZmaBgXQg25GMBRCZPjIWQBN5\n+ARKerSDHDaiOZQuS1GjLDsZQ3MOJKrj4GR8aC3LhDo++P2J2ABhRJN1hpoTNJvNXF89WpUlt9uN\nrq4uqFSqBaxdKYXRybqjsY1aqvZOsYQSFME/E+RrvUL38ioqKiQjXAQLakSzc2pqirM3CnUvIoNF\nINW8YTSWTrQcGK2bGWpAnWSUpFS3GM4ZDMNweqU6nY7XAYcexA+m8zo+Pg6LxQKWZf02VhJAWJbF\n6OgoRkdH/eyrYg2SkRYUFPA6bAQbC4gUKMn3Sa7tdDrR2dkJjUYjeoQlTqXC+bU56M+yw+LyIDdV\ng7LshQcJr9eL/v5+GI3GsGIDBMHmBAMH6q1WK/e9B3tO+jBXU1MTsSQpVBgdWBgooxH9MBqN59yM\nIqAERd4IVHMJBvKy9/f3+/XyCMQq99PlU9o6qri42I8tG+kZxOqUEkgdmGgRbVrJhd5YLRYLXC4X\nAKC4uBjLly+PuWwZLTRQUVHBiykcDsF6d8ECiNfrBcMwyMjIgE6nk+XU7na70d3dDYZhRGekkQLl\nyMgIFyhVKhWcTieqqqpQVFQkScafEBeHuuWhgxzpVxLWrhjxiGAD9SSjpJ8zJSUFVquVa29E21sX\nEiiJyDhZF9/S67k4uA8oQREAf1HwcKoQhKKempqK1tbWoC87GeCPNngQog25V3p6umDrKI/HI7pv\nSEY87HY76urqYrpZ0z0c4NQPtaamhuv3BOqfkoxSjHgyDZPJ5GfTFasATAcQkpHabDZUVVXB7XZz\ngZIOqOQ5pQggxBlleHg4poLhgYHSYrGgs7OTExA3mUwYGxvjDkjBMi2x8Hg8HDkqVqXoQDlCcrAa\nHBxETk4OfD4fjh8/DgALnjNa0lKwQEnKwvn5+VCr1YJKryaTSbLf9nXXXYePPvoIs7OzKCkpwcMP\nP4xbbrlFkmtLDSUo8kQoRRq73c71ehoaGsIOaosNigzDYHZ2Fi6XCytWrBDUnyRB0OVy4fPPP+c2\nJiFMUGJKOz4+jqqqKuh0Olnm8IxGIycaQAcm+mRORkPMZjMXsMloSDRqNSTwOxwO3qVSsaDnHENl\npHRPi5A/+MyKhgOZ/yOHLDkEwyOVLelMa3h4GDabDSqVSrRDCvF0LC8vF53x8wUpCycmJmL9+vV+\nf186cw4kLYkVVhgaGsLMzAx0Ot2CGVU+wugmk0kycs3bb78tyXXkgDKniFObUSgCC0FHRwcKCwu5\njZj2UqytrfVT1giFEydOoLy8XPDpy+PxoL+/HzMzM4iLi8N5553H+7PB+oa0iovJZPKbuSMEl8B+\nzuzsLHp7eyWb/eMDQi5hGAZ1dXWCZfbcbrffc9Li0qEOBHSptLKyEsuXL5dl4ySBKS0tDdXV1YL6\nafSBgMyKBgqiB5M8C1TBkYtUQeZIi4uLUVJSwvvvSwdKMkfJl+Tidruh1+vBsizq6+tjMhIUCJJ9\nj4yMCJp1DDYvKoScZbPZ0NHRgezsbFRWVvI6OAQGyomJCVx++eW47bbbcM899wh67iUMXi+aEhS/\nBulThUJPTw8yMzORm5uLkZERjI6Oory8HMXFxbx/1J2dnVi+fDnvkQGyQQ8NDaG0tBQFBQU4fvw4\n1q5dy+uzfPuGRNWCHk4nVkVJSUmYn59HUlIS6urqJJv9Cwdajaa6ujrq2ahABLowkAMBUatJSEjg\nZsWqqqpkyZjIgcdkMoVkDUcDekCdBEpa59Xj8WB4eBjFxcUoLS2VJfCTfqXH44FWq5XkXYoUKNPT\n0zlRfzmJSg6HgysL19TUiH6X6EBJSD0kUJJnTUtLw/j4OCYnJ6PuQbMsiz/84Q944okn8POf/xyX\nXXaZLO+GTFCCohC43e6wWn/9/f1wuVwwGAzIz89HRUWF4Be9p6cHWVlZvDb5ubk5dHd3cxu0Wq0G\ny7I4ePBgxEwxcN4wmpfa5XKhu7sbJpMJqampcLvdfuWraLRP+YBkpMuXL0d5ebksLhZms9lvAN/n\n8/nNFpKAKfV9CWuXqP3EevNxu92Ym5vDwMAAGIaBWq0OqvMq9TrosrAcgYmUmOfm5jA+Pg6fz8fN\nxEoxXxgOhC08NjaG+vr6mNou0S4p8/PzmJmZQXx8PKdNTJ6V77s7NzeHe+65B/Hx8fjVr34lWsVn\nCUJRtJEKpPmvVqvDKt9EAh/7KJvNBr1eD5VKhVWrVvnJaEUyQ46FpVNjYyN3DXIqN5lMfv0sum8X\nrTOB3W6HXq9HQkKCpGo04UCPO9DkEno0ZHp6Gr29vX7lq8zMTFGECPKssXCVCAXCjCayZeRgRsvX\njY6Ocka/YgTRadjtdnR1dSE5OTkmTiHBEB8fD6vVitnZWTQ2NiI7O9uvFxvKnFosaclut6OzsxNp\naWlBtVmlBhn7MBgMsNlsaG1tRXp6Omw2GywWC6dqRUS/6dIr/T2wLIt9+/bh4Ycfxvbt23H11Vef\nTdmhYCiZ4tdgGMZvhg84VQLp6emB2+1GTk4OWJZFVVVV1PcYHh6GSqVCaWlp0Pv39vbCZDKFle76\n7LPPsGHDBr//TYpgCJy2dCK9CD4nTCKPRbRPHQ5HxL4dDeJKYjAYUFtbK5uhKU3e4fOsgX0eQogI\nzJzDbapkpnR2dnbBMHwsYbFY0NXVhaysLFRVVYXdrEPpvPIRRKdBiB7T09OyPqvNZkNnZycyMzMj\nPisdKM1mM3fIC+xRRvotsSzLEdC0Wq1sz0qCcHp6Oqqrq0M+K33II8/r9XrxyiuvYPny5dyh7403\n3uCtq3yGQimfCgEdFEmfZ3Z2liPRzM3NYW5uDvX19VHfY3x8HC6XC5WVldz/Rhido6OjqKioQFFR\nUdgfIR0UpZo3pC2damtrRYs805tqMCJPRsYph/jJyUkMDg6ipKREEOFCDNxuN3p6euByuVBfXy/K\nIzNYP4veVDMzMzkmKCGXFBYWorS0VBblHY/Hg76+PpjNZmi12qgtrGj1IfIfhmH8sg9apo94V+bl\n5aGiokKWZyXqO7Ozs6JIQx6Pxy94RAqUQoKwVKBLtNEGYZ/Ph7feegtvvvkmUlNT4XK5OCbwW2+9\ndbZmikpQFAKGYeDxeDj7qLKyMj9XB6PRiLGxMaxYsSLqe0xPT3O+iSzLcvRwIT3Kzz77jOspiu0b\nymXpFEjkMRgMsNvtSExMRFFREbKzs2MqKk3WEKxUKjXIpkoHSrfbDbVajbKyMuTm5kpqZBwKpHQW\nq35lMHKWx+PhDmjkbywHWclkMnE2VrHoQ9PsXovFwgVK4NQBsLa2VjaWMiHwpKamoqamJqrfjN1u\nx4MPPoienh689tprKC8vB3Ca4FZRUSHxqpcMlKAoBJHso6xWK/r6+rBq1aqo7zE/P4+pqSmUlJRw\nPSWhjM6DBw+itbWV++do+4aE+FBSUiKbpRMxVLbZbKitreVmochmEysiDymVkrKwHKd5UgGYmJjg\nDjwkeNAlZvKs0fTtBufs6JiwIFUTj3WVy5Ckjuf8/6Syk+KLmZkZ9PT0oKCgAImJiRxDkrCYhei8\n8oXX6+UyYZ1OJyrrFwKr1YqOjg4kJycjLS0tqP2UlAISgL+5shgCT3t7O7Zu3Yqbb74ZW7ZskeV3\nv4SgBEUhmJmZgUajCRmgXC4XTpw4gba2tqjvMTs7yw3x1tfX+8lfRQIpk+r1ehgMBk69hU8viwZR\naJHT94/O0sLN/tFEHrp0RUqumZmZggfwpSqVCgFRHMrNzUVFCL/MwL4dXyNjgqPDRjzx9154fKd+\nkpU5KdjcnIK56SlJ/P/4wuVyccSwYEGYZkiSw4/P51ugfyo0UBJtVqGzjmIQbiAeCD4vKkWgdDqd\nXBCura2NKvt2uVzYsWMH2tvb8dprr6Gurk7wNc4CKEFRCLxeb1hmqNfrxeHDh7F+/fqorj00NMQx\nWNetWydIhDywb8iyLPfjM5lMXC+L7tkFskBpS6e6ujpZFFqAU/qShLwTzRhLKCIPzXgNthGTnguZ\nc5SzX+l2u1FfXy+oNxuqbxdqNGTLni9hc3mQmpgAhvFgdM6Cm1pycNX/p5Otr0Uyl5qaGl7iFQSR\nSEvhZN2IpZTL5YJWq5XFLQQ4LUdHDjp8D6GhhBUCWa/B3k+6olNXVxf1QefLL7/Ej370I1x11VW4\n5557ZClpL1EoQVEIIgVFlmVx4MCBBczPcCA0+L6+PhQWFqKgoAAdHR28s00h84YkeJAAQoJHeno6\nN7BOSENySVsR+TuhAYLPtelASYg8mZmZiIuLw8TEBHJycmQrldJjLFL2K2nWIPkPGQ35f59ZkKRO\ngM/DwOv1wqHSYPOmSlzSEPvhdEIuIaxHKTZZWu6MBMpAtRq73S7aUkoofD4f59XJx0WDD+jfKim9\nEgUi8rzx8fFcVamuri6qvzHDMHjmmWewb98+vPLKK1i5cqXotZ/hUOYUhSDSD0zoD5Aw8NLS0tDW\n1obExMSIgZcgmhELtVrt5yZONuqBgQEkJydDo9Ggt7cXExMTflmW1EGDdoUXmkHwRTBvRqPRyGUQ\narUas7OzcDqdftJ1seifEG/FWAiGh3INsVgsWJGjx/5BK9ITAS8bB5/KjWWwwmJJjtlgOh0gpJaF\nC+WoYbFYMD8/j+PHj8Pj8SAlJQUmkwksy/IemYgWZrOZU6Fqa2uT7G8a+FsF/APl8PAwrFYrUlJS\nkJqaitnZWaSnpwsqvXZ1deGOO+7AhRdeiI8//liWWdizBUpQlBhOpxPd3d1wu90LBMLj4uIWzELS\nkGrekLZ0WrduHfeDoDMPYnhL+/gJ7U8Grn12dhZ9fX0oKCiQxRUeCF0qDbScslqtkhJ5iIG01WqV\nTTAcOPV+9ff347LaFGTn5ODIsBlpifG4emUOClO9fn5+dNlVbPAgNksFBQWSBohwiIuLg91ux9TU\nFLRaLfLy8vzYvf39/TEhuPh8PvT19cFoNKKxsVGWXrRarUZ6ejpGR0eRlpaGlpYWvzbJ1NQUHA5H\nRE1br9eLl156CXv27MGLL77ISxJSgT+U8unX8Pl8YBgm7L9DxiGC/eDIEPrMzEzYMmWo4Xsp5g2j\nsXSiZ+1MJpMfuYVklJHILTabDd3d3VCr1aipqZFFjQY4tVF3d3eHJbTQ8Hq9fqVIm83mt8nwIfKw\nLMvNV5aXl6OwsFBWksf09DTq6uoisg8DR0NsNhvUarWgZwVO9/CcTid0Op1sPTwyesCHXEJnWaRv\nRz8rCR5Ojw97T0xhaN6Bsuxk/FvjcqRo/N8ZUuEpKChAWVmZbPN6xIc1kulwoKatw+HA/Pw83n//\nfdTV1eG9997D+vXrsWPHDtm+qzMISk9RCPg4ZRw6dAirV69eIJE0Pj7ODaFHGswODIpS6JTSlk5S\nODvQ5BbiLpGUlOTHAlWr1X5qNHV1dbIpedDuGWL7lZGIPJmZmVymbbPZ0NXVxYk8y8HcBU4Hf+JQ\nEm2WRruGBBsNIQcgwF+bVc4eHq0OI2b0IPBZbXY7/jzAYsymQmaKBi5fHOoK0nHv/6lBfJzKb7yj\noaFB0h54pHV2dXUhLi4O9fX1Ub1T8/PzePLJJ7F//36kpKTAbDYjNzcX11xzDW677bYYrPqMhdJT\nlBrEaJi8uIQWnpmZibVr1/J+oclBRIpSKW3ptHbtWkl6hMH6k4TcMj8/j4GBATidTng8HuTk5KC2\ntjZqtRQhoGf/pHLPCPashJhkNBoxPDwMt9vNfVcVFRUoLCyUhcHHMAy6u7vhcrnQ1NQkeqPWaDTI\nzc316/MG0z7VaDTcQWjlypWyzv91dnYiKytLtHZo4LPOWFww9HegeBnAMB6oGDs+7zHjw1QTijKT\nYDQaUVRUhNbWVtmyQyKwIEYkfWJiAnfccQfKy8vxr3/9i/sdTk9Pw2AwSLnccwZKpkghkn0U8UNM\nSEiAXq8HAME+fwcPHkRLSwv3w4s2GJKSZUJCAmpra2UrWRJiSVpaGgoKCmC322EymThaPV2ek5IE\nQXRZ+ZZKpQJRHcrLy+NO4TQLlGSUUhJ5aCq+nJ6OLMtieHgYY2NjyM/Ph8/nizgaIgVoAk+w+T8p\nMGt1Y/tfOrE8PZEba5owOXFDnQoarx3Lli2D3W5fIIhOVwqkAsMw6OrqAsuy0Gq1UV2fZVn89re/\nxTPPPIPHHnsM3/rWt2R5R3bt2oVXX30VLMvitttuw9133x3ze0oIpXwqFJGC4ldffQWGYeBwOATP\nDZG+4YkTJ+B2u5GZmYmsrCw/zUg+IObGRDhcrpIl7URfV1cXdOOih+9Jf1KtVvuVIoVaE5HRDq/X\ni/r6ell7WsS1o7a2NugsJCHykFlRQuQhzxvNoYCUaFNTUwWbDYsBEQ0nAun0oSPcaIhYpRrSw1u+\nfDnKyspiRuBhWRav7B/C4SEjktTxsDqcKFQ78X/Pr0ApNfwfShA90GUi2kBJDllVVVVYvnx51NfY\nunUrUlJSsGvXrpjJMwbi5MmTuPbaa3Ho0CFoNBpccskleOmll1BTUyPL/SWAEhSFIpSnImE49vb2\noqCgADqdTtBmR/cNgVPBlwQO2tCXkFuCDS4HWjrJSfAg7M5oZvBIb4c8q9Pp5LztAoWkA+8bC6Ph\nSKBHSsK5lQQDTeQxmUx+82eRSEvEQYOIzgtROxIDr9eL/v5+GI1GQaLhYgbwyX17e3thtVqh1Wpl\nKdEyXh/+2TWNYz0jyNb4cN03mpCeGrkkzUdYIdCOacG9vy6Fezwe6HS6qLPDvXv34tFHH8VDDz2E\nK6+8Ulbh7nfffRf79u3D7t27AQCPPvooEhMT8dOf/lS2NYiEEhSFIlhQJJqOubm5iI+PR1JSEoqL\ni3ldj++IBdlgaB1QWqGGlLWEWDpJAVKylHIQnpzEgx0KyPOScQci8CxXqZT0iKU0OKYJHzRpiS7P\nWa1WdHd3y+qgAYBz7pBKKi2Ya0iw0RDyXhHdXbk2dmLcLcWhMpggutfrXRAoExISMDs7i56eHlGE\nJaPRiG3btsFms+HFF1+MOssUg87OTvzHf/wHDhw4gOTkZFx44YVoa2vDc889J/taooQSFIWCto+y\nWq1c+ayurg7JyckYHR2F1+vlVOVDQYp5Q4ZhMDs7y7mkJyQkcKotJOuIVWmN+Ej6fD5ZSpZEH3N2\ndhZjY2NgGAbJyclceZm2YIoFXC4Xuru7ZSnREiKPyWSCwWDA1NQUvF4vsrKykJ2dHZOeXSDcbjeX\ntWi12pj2o+nREKPRCIPBAJVKhfz8fO55ozWm5guSpTEME9Pn9fl8foGSKEvFxcWhpKQE2dnZgsvM\nLMviX//6F+6//37ce++9uOGGGxZVxHv37t144YUXkJqaihUrViAxMRE7d+5ctPUIhBIUhYJhGE4j\n1GKxLDBHnZychM1mQ3V1ddDPSzVvSFs61dTUcAbHtLyZyWTyK7tKQfYgGq3T09OyikrTpVKigkNK\nkbQ4uEajWVCKFAOa/i9niZYuhZP7EsJSLIk89IxlLO2zgoHM4VVWVmLZsmULZu1CjYaNO73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JyM0dFRsCyLDRs2QK1Wcxk0KVnTGXSg/qcYkDJtXl4e2traZCk1kqDvdDrh8XiwevVqJCUlwWw2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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b35b6d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = pyplot.figure()\n",
"ax = Axes3D(fig)\n",
"\n",
"ax.scatter(x, y, z)\n",
"pyplot.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"matrix = np.array([x, y, z])"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(3, 10)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"matrix.shape"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1, 7, 9, 5, 4, 7, 7, 1, 9, 7],\n",
" [3, 2, 5, 7, 3, 8, 8, 9, 5, 3],\n",
" [4, 9, 2, 4, 5, 8, 1, 7, 8, 3]])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"matrix"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x11b33dcc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.pcolor(matrix, cmap='Blues')\n",
"plt.colorbar()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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9M4nz8et3zCQOwMFnnp1ZrDdsvGBmsWbp4NevmUmcdb/0yZnEAbjn3e+dWazOrNRBpKaq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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b5c07b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"A_double = np.concatenate([matrix, matrix]) # repeating the same matrix twice\n",
"plt.pcolor(A_double, cmap='Blues')\n",
"plt.colorbar()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1, 7, 9, 5, 4, 7, 7, 1, 9, 7],\n",
" [3, 2, 5, 7, 3, 8, 8, 9, 5, 3],\n",
" [4, 9, 2, 4, 5, 8, 1, 7, 8, 3],\n",
" [1, 7, 9, 5, 4, 7, 7, 1, 9, 7],\n",
" [3, 2, 5, 7, 3, 8, 8, 9, 5, 3],\n",
" [4, 9, 2, 4, 5, 8, 1, 7, 8, 3]])"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A_double"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(6, 10)"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A_double.shape"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"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": "3.5.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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