Files
2018-05-06 22:19:59 -04:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"None\n",
"w[0]: 0.393906 b: -0.031804\n"
]
},
{
"data": {
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BRGSqvDwXnM582GwL4HTmIy/PpTskIqpH9zTlqwAu1RwDEZGR8vJcyMoqhMvl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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a99c4a8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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F+/xRQN5ORehP1tbrL4VlmvP8es187u/6S2G5vqluDHo7JGbzAvBR88mT2bzO4o8C8lYW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\nAIdxbJh2tiuMk4rMny3Q0Ci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"text/plain": [
"<matplotlib.figure.Figure at 0x10a82cd30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"lr.coef_: [ 0.39390555]\n",
"lr.intercept_: -0.0318043430268\n",
"------------------RIDGE-----------------------------\n",
"training set score: 0.670060\n",
"test set score: 0.657795\n",
"alpha=10:\n",
"training set score: 0.667496\n",
"test set score: 0.643293\n",
"alpha=0.1:\n",
"training set score: 0.670089\n",
"test set score: 0.659183\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x10a6eaeb8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"training set score: 0.670089\n",
"test set score: 0.659335\n",
"number of features used: 1\n",
"--------------LOGISTIC REGRESSION--------\n",
"training set score: 0.955399\n",
"test set score: 0.958042\n",
" \n",
"Logistic Regression, C=0.01\n",
"training set score: 0.934272\n",
"test set score: 0.930070\n",
" \n",
"Logistic Regression, C=0.01\n",
"training set score: 0.934272\n",
"test set score: 0.930070\n"
]
},
{
"data": {
"image/png": 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cp5vhit1xHKeb4YrdcRynm+GK3XGcnkEXLxNQBneeOo7T/elh5X19xu44Tven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\nnl9vfHvX5NAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ac46128>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"training accuracy of L1 logreg with C=0.001000: 0.913146\n",
"test accuracy of L1 logreg with C=0.001000: 0.923077\n",
"training accuracy of L1 logreg with C=1.000000: 0.960094\n",
"test accuracy of L1 logreg with C=1.000000: 0.958042\n",
"training accuracy of L1 logreg with C=100.000000: 0.985915\n",
"test accuracy of L1 logreg with C=100.000000: 0.979021\n"
]
},
{
"data": {
"image/png": 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oiAwQkRtF5AURObZA9lDgfuCv4fWOInJNVkZVVwG7iIgk7n8PEblXRF4VkTdF\nZJWIvNKVcQKnqupSEdkbOBC4FDg/IvdPETlLRLZNGOdvwv6HAI8Aj4vIyRHRY4Anw3jfUafPrUTk\nQhG5XkRuqmxZmfB9DheRgfXGqKqrgQfqXdChz9dFZFi9PgN3iciuCX2mjnMVcHiiXNK5lHpMqd9R\nmT6h1PmBiHwWuAr4RWgaSe7mWeb7DH0eJiJPAvOAW4Gngeu6OM5JQVZE5GIRmS0iB0RE7xaRK0Xk\n4Hq/lYjcEvrcAHgAuEREfhIR3RS4V0SmishBtfoVkXeJyA0i8oSIzBWReSIyt9Y4ukqvj4oRkftV\ndUcROQL4IPBV4GZV3SEiOwvYB7hFVXcKbXNUdXxO7sfAlsCVwGuVdlX9Y6TPmZgyvBKYAHwCGKeq\np3RhnPep6k4iMhl4UFV/U2nLya0b9v0p7Cb8S+B3qhq7sVT2/zFgF+AbwKz8sQfZocBHQ78KXAL8\nVlWX5uQeAH4OzAJWZb6nWTm5XwA7A9fQ8fusuiDCjWFX4J6c7GE5uanAHsANObkTI30+AmyFlal4\nDRATrfrdy4zzf4BhwO9zsrNzcmXOpaRjSv2OSvZZ5vy4H9gNuDtzHT2oqu/MyZX5Ph/Ars2/hXP/\n/cBHVfWELozzAVXdQUQOBL4InApcoqo75+QE2A84PhzX74FfqeoTkT4r1+ZngM1V9bSYDsn0ewB2\nHU0ApgIXq+pTObnHMH2Qv44W5/tsFP27q+MGMiD8PRhTPktq3BxXqurLCROoDYDF2IlWQYGqixFA\nVf8pIi1hlnKJiNzRxXEuCBfFfsAPRGQtIk9PQdFeCFwoIu8BfgucLSJXAd9X1X9m9y8iA7Cbyrmq\nuqJo/6r6ioj8ARgMfAU4AjhZRM5R1Z9lRFeqauxJIs+zYesHrFtH9vSE/gCmhy2FDyTKlRnnXuHv\n9zJtSsdzBsqdS6nHlPodlekzdn4UzereUNU3K+ePiPTHjilPme9zhaouFjOv9FPVm0XkB10cZ+UE\nPxhT6A/EZs7BXHcDcEO4oVwOfCHcbL6pqndmxPuLyAjgaOCUfF/5fkXkOeA5YCWwPnCViNygql/P\niL6sqlVPJ91Kd9cs6OoGnAk8BtyHKc/h2EwiJnsx8F/AHGwW9TPg513c/23AQODXwA+xO+8DXRzn\n2sCHgC3D6xHAARG5FuAw4OrQ70nAJsCRwBM52ROBBcBfsBN+C+DvkT4r/c0BTgY2zozpXznZVuAL\nYXwbVLYa39W6wDoJ3+kmwCFh27iG3EBg+7ANqNPnDsCXwrZDHdmkcXbT+Zx0TKnfUWqfqedHkP0h\n8O1wPu8fzpf/qbH/IQnH/Tf+cJG8AAAgAElEQVRgHeBcbIIyBbiji+O8BLgeeDKcv+tis/u83IbA\nJGAmdhP8EDapnQDMy8keGa6N88LrMcAfCsY5C5gBHFX53rGb3FM52TOBs4A9sSecnYGdu/U864mT\nuxMXw/pAS/h/bWDTArm1gf8B7g3bGcCgiNxWwI3AQ+H1eOA7BX1uAQwChgKnAT/BTDFdGedYYK3w\n//vCSbJeRG4udrPaK/LeObnXo3OvhXDjyLVfCrynYFz75l7Pi2xzI5/bHrvx/Ctss4DtCvZxdJC5\nFLtZzgOOjMi9L8jdit1c59UY9yTgIWx2/T3gQeDLXRznsPBbzwzbj4FhEbmRmOJ7HvgP8AdgZEGf\nSceU+h2V/Z4in+1f0N4P+CxmXroq/C8RuT0xO/i/w+sdCAoxIjsk9NsfOC6c8xs2YJw7V64dbOIx\nPiL3BGamqfpdgG/kXr8rIhNrOx2rtBgb1ztyr2+ObDelHHtnt27ruGEDNJt21RaRawHOSuzzVszW\ndl+m7aEa8oOBrev0eRSwbvj/O9ijePSujDl4+wPjgKeAs4G/ROT2TjnJQvvsSNus3OsWzMbZ6N/o\nDuD9mdfvIzIbC+89QGYGij3ZxJ6AZmW/c+xmXDUbC+/NITNrDEpkThfH+Ydw8Y4J22nAHyNyN2A2\n1v5h+yRwQ0GfSceU+h2V7PO7sS0i1wJcnvi73w1sXuI62gLYL/y/duV6yclMwiZRgk1qZhN5mq1c\nC5XfHTgWuxFvEZE7OtJ2VEGfsetodu51v1rH2Ru2Xh8VgzmRKtu7MfNAlRNJQ4RCYp9rq+o9ubaV\nMUFJiLQJpEa6AKxW1ZXYI+FPVfWrmLkjzzmRtqwNHBHZRkQ+DAwTkQ9ltk9iTxptaMloE7EInxNF\n5KqwfSnYP/MMUdWbM/u5BVOuMfqp6vOZ14uJR2cNUNXHM30+Qbsfo2qoZJxS4f+Yg6HMOMeq6mmq\nOjdsFSWfZ7iqXqKqK8P2K0wRx0g9ptTvqEyfr2W2VZhfYlReSEtGu6jqM7mmVTG5SKTNZsTDVI9X\nCw44APseP4WZMmKcj53POwBfx55cfh2R+2ak7Vu58e0pIv+NHftJma0Vu9m1oSUil0Lfw0TkJyIy\nM2w/Tr0GO0uvd56q6pezr8MXclmB+H1B6daLUHhBRMYSHEIiciSwsKDPVmx2f0vo634RGRWRq5zQ\nE4HzVXVaOClirBCRj2JPH4eGtraLUUT2xJx3w0XkpMznhpI7yYCtMTvsepm+AJZij9B5lgMPikjd\naBPswhkAnBdefzy0fSYnN1dETqX9dzkWMwnE+KuIzMDsrAAfweypeWaKyMWZPj+GzU5jXIKFtF0d\nXn8Qm+3lKTPOZSKyt6reDhayBiyLyFXCWivH81FMEcdIPabU7yi5T1X9cfa1iPwIi2aJ8TTwj3At\n1Yp2eUZE9gI03AhOBB4t6POLhEib0NeTIrJxRC7JIRpYqaoqIocDU1T1YhE5LnOMHwj9bCYi2UnS\nUKoncgMxH0B/OjqCX8Hs7nlGAA+LSN3IJSya7SHMxAZ2HV2CTey6hV6v2CO8jjlGY6RGKHwRq7C2\njYgswC7ujxX0mRppkxTpEvgU8HnMITVPREZjnvoKySeZqk4DponIntrRu19ELIpCC2R31Y7hmjeF\nSII8x2Nmi8r3fBt2jFWo6ski8iFgb+wivkBVr46I/j/sdzoxyN1G+w0m3+dPROSWTJ+fUtX7ujJO\n7Pf5dWZm9SJmG471eS5mTlPM3HN8QZ9Jx1TiO0ruM8LaxJ9AID3a5fOYE3QzYD7myPxCgWxqpM0s\nEbkeGA18Syzkd3VBn0tF5FuYony3WEJf9mnlWcw/chgdb3ZLsSCINlT1VuBWEfmVqqas7lYmcmms\nqn44+1mxkNLuo6dtQfU24M/YzOIa4FrMoXhmF/scHf4Ood0uPrpANinShsRIl4x8it1+ixLHNByL\nZLgAmyH8EvhlRG5SSlton42dlJXXY6i2N5bxbSTZ+Cln502yd5YcZz+CXRab3Q2t0edXSxx73WNK\n/Y468T09GM7hOcDDmLP3S6nnV0GfSY7G0J4UaUO1Q3RDIg7R8N6mWKTYu8PrtxP3v0WdrwV9bhWu\noeuBmypbRO4HKW2h/U4y/jLMN3BnV777eltfSFB6b+blSiwkb36B7CVEZgGqenxObrZWJzHMUtUq\nG72IrI3Fs1Yy2mYAZ6jq8ojs3phiv0REhmMhdVWP+sFu/yNgoKqOFpEdge9peIwTkZ+q6ldE5M8F\nxxNLVLkD+DvVSRB/SDj2quSo0L4v9sg4l/bQs09pxk4d5G5S1Xx8d5TweP9xVX25jtwM4FBVfTOh\nzyuAb6nqv+vIlRnnbar6ngS5W1T1fYl9Jh1T6ndUss8tMi9XAv9R8/PEZG8mft7tk5OLnUtVbaG9\nH/Bp7DoS7Dq6SHMKKJhdPgaMUdXvBTv2plrtE8se15aq+rdwrbZoSLQTkamqerSIPFhwPNGkJ9KS\n8mLHXpTItCPmcxsWjn0J8ElVjT39NoReb4pRe0RK5drM/4OwxJtnKw0isg2wHcHRmJEdSs7RGORb\ngNNV9WTqJCuIyGlYXOzWmDIcgJlX3hURb6Xabj86837FXvqjWvvMsbaqfqPG+D6KPXmMlo7O33Up\nsAmr6o0isiV2TAI8pqpvRERTfRuQbuN/mjQ7L6TbO8uM8wYR+RrVmadLcnL/EJFzI3KzqSb1mMr4\nQWr2KSJD1ZyRS3OfGyoiseMB+Frm/0HAh8nYpEv6gCrX0aWqeiyWcFeL8zDTyz5Y6OpSLEKpqmSE\nmEP2BMwEOxYzCf0c2DeITAp/D6mzzyw1k/JE5P9h5qYxIjIn89a6mBmuClW9H9hBQt0bjWSON5pe\nq9hF5HZV3VtEltLxbltJF68qDhSZnf4WS4yoUMrRqKqrRCQ10uYIYCfMfIGqPiu5wkkZYnb7tmPM\nzA42wMIgY8o0z7UicrCqFjnZ7sAcxBthMdkVlmKP522IyD6qelPu5gcwNiiDvCLsjuzL7shmLTPO\nylPeF3Oyebt0aoYqpB9Tmazben3+BjvnZ4VxZU+62PFUzU6xG0d2glXK0Riuo+EiMjDhCWx3Vd1Z\nRO4Ln31RiiN0ajpkVbUSEPEhYKqqLqizb4A/i8gXMFNR23WXuQH+BqtxM5mO0TZL8zdJETlWVS/P\n3fyoXPcFk5SG0GsVu6ruHf7Wu6hrsSVmd6v0WdbRCOmzvDdVVSWkP4sVMSriIRH5L6AlzIhPJH63\nPwz4qYjcBvwOmFH0+IzNTr4tIm8AK8jdANUcQv8C9sw9vg7G7P3ZGd17Mdti9ubXduhkFGGYjc1R\n1bNrHG9Wdv8wc6snt054Ukrp81RV3S9BLnWc/YBjVfUfCXLnq+rUxHHWPabU7yi1T1U9JPwdXSQT\n6TdbDbEfFka8aabPDo5GERmiqq/l+8nxNGlPKyvCcVWuo+EUO09THbJDgetFZAl2HV2lqv8p6LPi\nIM9+p203wGAeexn4aM70upGIjM6ZXis6oCs6rFP0WsUudUptxh4hI7P757AiQnkWi8iNwCaqur1Y\nac7DVPWMiGzqLG+qWFTMeuER8XiKHzu/jJl23sBC2mYA388LqeqnxOLGP4CZUc4Tq0ORDzdMvgFG\nHl9H0vHxFVU9rbL/ev2F2dhhWFRIimzdmVuQq7LT1pB9XUSG1bJJlxznarFwwD0T5L6EFX9KGWfd\nYyozu03ps977BSaj7Ox+JRY19umI3NtE5Dps9v52sXjyz6lqLDIm9WnlHGy2vLFYIbYjsYS/GLeK\nyLeBwSKyP2Yi+XNeSC0H4fRwnX8kfG5+bDKQegOMmF4HkjO9quovMvtfo/Ra56mIzKP95Ho7Fm4m\nmBnl32VmIJG+b8XuyL/Q9up1D6nq9l0c8/5knEOqekNX+sv0OwA4CAvNe7eqDs+8t42qPlZ0Aecv\nXEms3BfaJ2EnbaUY2c5Y0aTrc3JJlRCDbFJFQOmeqollxnk6ZqL6o9a4SMTi4pdF+oxNPJKOKfU7\nSulTzBEKZiufgGW1ClZG4+7Kk3Guz0GaCw4QkbXyJkERuRtTvNc0+DraBptoCHCjqkZj4yXRIZuR\n3xTLED8Gi4Ybn3mvyPwIRH+j+wmmV61RSTa0/xArb7IMS3TcAfiKqpauZ59Kr52xVxS3iPwcO3H+\nEl5/AIsVr0JEblTVfeu1ETJPczbuogiBQdjJsx0ZB6vmIm1C2w2YcqmJiGyFOahGkfkNtDrq4CDs\nJHw/5mi9iPYkhwonYTPwH1NNzNab+vgKlgU4Raws6sbYjeUSLBQsS3fYmbvDbl9mnCdhj9KrRGQZ\nxb6dVFs8pB9TGf9CzT5V9f0AIvI74ARVfTC83p6OTtIsd2A3lix3RtpQ1Wdy11FR5ulwLDs0fx3F\nvvsnMXt9//DZt2sk4kktA/RC6jhkxRyeH8FCgq8CPquqj+TEks2PgTKm1wNU9etiJb3nYzeXm+mY\nu9JYtBtjKRuxEa97MTP3ehB2gj+AFeKqVCIcBTwa+fx1mBlidnh9JHBdwf6vxMwkT2H2t+uxLLe8\n3IewE/Jl7KRcCrxS0OcDWGLJbpj9chdgl4jc77AsyrUa+H0mV+4j1FvBklCOCP/f16Bx1K0IWLK/\nunkBfW1r5HcE3F+vDbOj74Jlj+5EeyXC92ERUfnPX4XdLGdjpoivYesFxPZ/PTZBehRTor8kHgv+\nZeAFLNZ+DiH+vqDPd2ETqSewkNx5xIvUnQns2ODf5mtYeYS5WODFnUQKzwXZh8PfC4GDwv/R2j8N\nG19Pn7wJX+AMzMY2CoujPgUzc2RlJoUf9Y3MDzwvKNCqJAxsNvU3LIt1AXA7MKpg//eFvxUlN4B4\nwsI/yVV1q3FM0WJWXfyeBmBO2KvC9iUiJVxJrNwXZCuz83plUTfBErmuC6+3BT5d0GdSRUDKVeA8\nFHicUIIV2BF7yuvKOAUrOXBqeL05sFtEbu1wfl4QXm8JHFLQZ9IxpX5HJfv8LfbE9z5MsV6IrRuQ\nlTkOm0kuxWavN4dtGvChSJ8bAVdgVS2fx2ag0YqNlfOGjJIGbi24jlKrPj6G+Z82xhKZNqz12SD3\n9spWIJNU1TPI7o+V4/0R5vAu2m9ySe9Gbd3WccMGaDPvKeFLuS/8H60JTsEds0bfbZmnNWTuCX9v\nw8q+bkR8VvCPEvttJaHOOWY3vhd4FXgTe8wtegq4CEuC2Cdsl2D2xq5890lZgNgT0NGEWQj2CP1g\nQZ9JFQEpUYETc/YNy8lW7b/kOM8H/o/wxIc9Cd4bkfs9ZmKoKNbBRGbHZY4p9Tsq2ecgLI3+6rB9\nlUhJ6yD74a6cNwV93hX+zsDqKe1Erm55eP9mEjNFSVSO2I3/ScwHMQ+Lsnm4QDapqmdGfmitazgj\nl1TSu1Fbr7WxV1BzQk2qK2hsLO0rHSGWEDBFc9EdIrIeVoBrFLZiSmVfsQSQC8QWrf0O5sxaB6vt\nnGemiPweq1iXjX+N2YSPC3+jIVUZziWyLF+kP0is6yIih2CmpS0wxVYrL2C1iPwH2DbY4ovYSFWn\nitXtQFVXikjU1hreT7HLJvtBqJMX0MlxpsZTj1XVj4glgKGqy0QKCwslH1Pid5Tcp5oz9GwSooKA\nD4rI3zREGYmFx/5Sq/1XozHTySg6+opihbDOEKu7899YWY6h5Oq1BOYCt4jIdDpeR7GY75vFFhP/\nY0427ww/A5skdViWL3bgJNZ1EZHPYb6aZdiNQij2rQC8AxiVu45ilSgbQq9X7CWdLi3APSLyKcxe\n+DNyZW4DfwHuwux3RTGylf1cFP69jeIfDexEfZ320gNQ7Ox7h1ZHHVRlvob9pyzLB+bkG6thvUUR\nGUNcGfwU8wc8qGH6UITY0mUfwcwClb4U+y6yvCYiG9Iee7wH5muIkVoRsEwFztS8gDLjTI2nflMs\nF6AiN5aMkunkMZWpmpjUZ/heJmPmp+x1FDunb8eqZZ6EZXOejCnkPH/CTFt/pv51VMkKfxkLBiji\n32EbGLZa7B7+TsjuimpneOqyfJBe1fNr2CItL9QZIyJyGebTu5+O11G3KfZuexRo1Eai0yUjvx/2\nQzxL8UpHVcX01/Ax1S3mH9qSluULsvtiF8QttK8C//6I3M1Yve+UcT5OguMWM9f8A7to/4E5s4oK\nNyXZZYn7QbYo6DN15awy4/wY9oQ2P/T9OJHFGTA7663AonBcTwPvK+gz6ZhSv6OSfd4ezpE52NNa\nK1Yuo+g33RtLdFtI8Upg3WonTjjvxiS2VZbl+xk1luULsjtivrmnsYS++2LnCBa2uHbiOB+lwI/V\nXVuvjWOvIKE4VzZGVERuVdX3RmTfg9lGLwfeidm9jlfVZ3NyX8Xs1tcSTxvuzDiHY47IUXR8LD0+\nI7MpNgO6HEs4qjw/D8UqRm6T63ML7OIeiCn1YZgTLbuIdVZ+LerUdRGRXTFTzK3UedQVSz45SlVf\nrX30bWGTlX0/rqor6n0mhRBG1k9DYacG9Jc8zhLx1Btij/qC2ZJrzuIafUwpfWauo7acBRH5u6q+\nOyL7cczceBrmjD0QK/72QE7uvzBn8fXUNoWUOY6kUOAgm1TML3w3yzCf0cew6+gKVS2qm18x46IF\ndV1EZCfCOgB0PPYqc66IXAmcqO0lDrqdXm+KwWYNAAtFZCI2Ex9ZIPsjTBE9AhCSDW4CtsnJvYl5\ns0+h3RZbyz6WwjSsuuLfKLaHHogtnTYS87ZXFPsrWAhinheweNnlmK2vBVgr1nEw5XwBm2kp8HcR\n+blWV6H8H+ymNoj6j7qvA/eLZenWPHnVSh08XKe/0mj9VPWy/SWPU1Ufw6IZ6sktJr22S8OPKbHP\n5WIJPU+KZcsuwKJEYnwYKzP7PPBbsQVMLsVms1neidVC34d2U0zMFIJUp9tH2zB/0s+xYICimPhS\nxfyw41wYroVLg+lsEyLF78JN+jTCdSQit2OVV/Oyv8B0S11zLvYE9ohYkbrsdRTzRTSEvjBjPwRT\nmJvT7nQ5XVWrVn/JOk4zbRvmfxQReQpzjtW1jwX5vaieQfw6J3O/quZP/KL+Pqy5gmUFcndha0S+\nGl6vA1yvqntFZKdiYWqVpIePAuur6lE5uZmqOiH/+YL9HxdrV9VLUz7v9B7Ck9qjWOb297Hr6CxV\nvSvx81UlDkTkMcxMkVJaOXV2HS2fnZM5HMvvOIyOq0AtxeLo78jJz8QWhH+zcixYFFusYuQNmAm0\nch19DDOt7ZeTuyN2HRaMt8q6AG01d7qFXj1jDzPULdUcL/WcLgAbicj/Apup6kEisi0WE5xfJu1h\nbDaaMoZUx0e96opZdhHLiH0p7GN94L9VNV8TY1DWDKKqr4rVnI6xtXaMirlZ4qsd/U1EDtBcWYAY\nqlqZ3bxdM+tqdjdhZrlH/gJ9qxCboHS1P2zhkJOxp7WaNYCCOeR8crWUMN9FlgewG8XzFJA6u5b2\n2lD1qiui5Yv59c/efNQyr4ueVjdQ1WzdpjNE5IMRuZtF5ATMcVzTnKuqt0qkbnzCuDvPmjTod2YD\nbi4hmxSnjJ00T2CPU+dUtoI+azo+CBmm4e9qzJZXL/O0KnuTuPP0H8DOmde7ULDyCvArTBlWXu9O\nPPGnzDhTE3+SVosP7yclCRUdZ0Gfg7CU/vOovXpUmXFWbNZgSUCHEU/4+hEWHZEyzqNoX7HrO1jE\n1M4RuXmYqXDbxH73wnw2n6hsEZmbap3HOdnU2PhbsEUjZtC+ytk1OZnDMVv04vC3sp2DzaKzx5xN\nLsxuVXkj4TOXEnIswuv1C373G7Aif9kx3VjQ54+wEON+YTuaiJO55Dg/izn1nwqvtyzaf6O2buu4\nYQM0m/C5wLtpT3GuuhiC7L3hb/aEjKVSHxfbCvq8EhjR4GOaQybaBEtqqUqYwBYXeAozRf0dy8qr\nKj0QZB/FFPbTYVuNPZkUpmQnjDM18WcO5i/YIfw/iUhWYZBNvfmejtl66yoj0ss+lBnnLCzaZjPg\nGWwycEVE7jPYDfhubA3QaJZiZf/h797h9zycSGQJluH7WSxk8y6sFlDR8nyXBbnzaA/vrZqkYD6d\nazCb+IcqWxevo/fGtoI+90w852LRTEWJVLEJUqxtbPge/x1+yzsojpirTHxWhG11aCucACUc0/2Y\nP6vmddTIrVebYgJlCjclxSlrORtxkuND0guQgdnvbpT2pfyOx2Yf+XHeGx5ls5EuRVEcB6UeUHi0\nHkVHn0Es3j418afmavE5UpOEUotwgV2kR4nI4Wrmo99gs8iujFNU9XUR+TTwM1X9oYRkpSxqeQ4X\nicjWmIljjoj8A7hQc0sI0m7Km4jVcZ8mIq2RPivVNC8MkV6/Bc4WkauA72vHqKgJ2My+nrOsTFG1\npNh4LWcjPkJEHqZ+hcNYAbJYG0A/EVlfVV8M49yAiHlZLbdjj+CjEq0RjaTp5a9bsN9xFB2vo1gi\nVZnCew2h1yt2DdXpEjkJm5WMDRfXcOzxFzAHo5ZcAxGL9y0kRKMMwez769MxhPFtsc8EJfEg7aF0\n31fVmCICm7WPwn6rncRWMKpKbNC0ldURkV9iIWwP0zGSIXaBpyb+VFaLPxZ4j1SvFp8l9eZbZnGC\nys3uJbGqhc9h31lXxiliS8B9jPZa5NHrJfSzTdhewGzPJ4nI51T1mIzoArGSvPsBPxALT+1X0N9E\n7EYxCpttX4E9tf4FMw1VeAhLxqsZSqcJtfUzfBFb0HkbEVmAmRk+lhlf6dXNqFPhUNpDgQeLhRJm\nr6Miv9KPgTvCDY/Q5//khcL3/GGqM82/l5ctwZ8JSxhSPyrmVkmoG99QuvNxYE1vWChgf8xZsz12\n0WZNHiPC3y1iWyf3mS1AlrW3RQuQlew76TG7ZJ+PlJDNJv7MDP/HHpWTVosP7yUlCUFaEa7w3mcw\n++p7MTvt88DnuzjO92KThG+E12Ni3z1mp38S89fslnvv8cj3+SHMiQZWK+iASJ9zMT/EXpH3zsm9\nvhlbq6DQzt2Jc2R0+NtWS6nS1oU+a1Y4pGMBspsz2zUUmIzC57bDCt59mQKfBPaEUKnp89+VrYvH\nk2zepEThvUZt3dZxT2wkZHRi3ui/legzqRAXJQqQleiz4RlrQWEkOeW64ffph5nWOtx8C2STinCV\n3P8Q2gsxFTpEC8ZdZOM+noIMRHL2duCyiMxludctwHdLHFOynbtEn7HraFbudT8KCpMV9DmZhAqH\ndKIAGXWqNpYZZ4l9/oDITbm3bD0+gAZ9yWXrSF+Tv+hq9D0TK7x1X7joPgX8b0SuUtOjZtncGn1W\n1USnpOMWe/LYL/w/mEjlSuA92Gz5cerXu56AmWhmB9k5MVnaI4NewR5PVwEvF/SZFO1Ce638rMOp\nqJxCaqRNkkM0yP4GMwMMCQppIXByRK4quiHWlj2mzOsWIk9QlIgEyxz/IWHbuECmasadb8NMSR/G\nnNAfymyfJO7cv4KC8rc5ucoNPVvhcAiRUgVY+GRq2dzDSKjaiJmV3lni+9wby7QFuwHFvrsjwn5T\nossOwa71JfVkG7X1ehs7JCUIlc3oXA48GJIRCpdSy7SnFOI6D5uJnBdefxybdVatT1qiz+SMNUlY\nyzTwyzC2FNvgFVgBqJqymrOHh7jf3QrErxeRD1NnyTnKLWr8KyyE7pTw+gns0TufvxBziFZV7gts\nq6qviMjHMLv2N7Abw1lhPIOwm0Rd30qw61dsrJUUdcGe1i6I7PsOETmXtCX8jg5juiX0+TMROVlV\nr8qJ/oFqB+RV2ISowtaYElqPjisJLcXMB3lGAA+H8zM7zg7np1qV0B+r6p6Ztteyn8lwMeY3qKwU\n9nHst40tWfd90qo27g18Umy5zTdo9wXElrE7jY5rmQ4gt5Zp4MdYjkzdYnqUKLzXKHq9Yk9JEFKL\ncrlUEjM6SV9KDeD1kMxwv9jahQtpX308S1LZ3JJ9tiaOEczhtRsWdoeqPikisZTxf2ska7eARSVk\n21DVP4nINwverkS7rBSR5RQ73GKLGsfKJUN6pE3MIVqUKDJAbK3ZDwLnquoKCcugBT4HfAVT4lmF\n+wpmQmpDVScDk0Vksqp+q2B/WcpEgp2CnXvPQ9sN8G+Y0i6Vfq/lE3/KLNKcekNPKpsbSK3a+IES\n4zyCsJYpgKo+KyIxR/6TmIknRVE/U0K2IfR6xU56OBeJSh0tl1H5cexR8ktYIa7NscfVPKllc5P7\nVMtY2wSLjAFb9KMoyy81pOqxEA6Yz5iLRcWcJiIXYSv0FMrmFEY/7DeL/l752X0RqnqFiMyiPXLo\ng1pQhIv0crxfAb4FXK2qD4ff6OaCPn+B5QM8ANwmljnYVhBKVacAU0Tky6oaKw0dO6ZvichmtNfC\nr7TnyyB/WlXnZhvCWGP0y50Ti+kYaVN2Fk6iUq+cn1uQllGZGr6aWjYXLApqHSwn4AoReZ54Lfp/\nicgOWFQRwN81V9AsQ+papguxuvHXUb9u/NeBv4hI3cJ7jaIv1IppeGU0ETkUyzAbqKqjRWRHrNBP\ntChPyk1ARPbFHt3mYiftFpidLqo4wox9G0wZPa6RehuRx+x3Y3be/GM2Yeb/EpZ5+GUspOoRVT0l\nJ3dJZDiqkcW5ReTyMMYOoZF52VyfKzGFeGHsJiQWlx0bwG05uctU9eP12kL7zljE0PbYY/xw4EhV\nnRPbl4gM0U4U4hKR/mpFxJCSq9qHz5yJZTV2qG+fP+8ksa5KaD8LC1/9bWj6COYH+UZOLnUWnkzW\n/KeqY8VCYn+u8dyN1D53xHI6hmHn/BIsebDqtwxKt/LUV1i1UUQmYTexym9yBLaUYdUNWUS+hmWG\n7o85fI8HfpOXDSabKlS16ilGRK7HAiU6mDRjsg0jZnjvTRvdE86VlFEZ2pPS6sN7a2EX2Q7UqGOO\nxSg/Q3vt9H8DH4jIPUDGGYYprCIHYlJIFTWW74rINjw7DntSqGw3YDPr2BqyqY7GMpE2ZdYSremQ\nJaSZ0zFNvrJVpbUH2fDOOewAACAASURBVJr17SnpvMx87sOYw/FswqLjEZkfYuaXAdgT2AvAsQWy\ndR2toa1URiXm7PxR2KLrwmZkh1IQiZST2zT0eyjFdePnkFkYHHtyKAxXJGEtU2D7Euf8zK5eN2W3\nNbqzTg2wZDgXaXUz7g5/sydkUWRI7CYQiwxJWkw6yD5GJqUZ8yHEoncezL3uV3ThYLOQlEUxnsSU\n/8HUCaXEYo4LQyOBr4e/PyNTc4catXcifWxOZlFlzFSyFJv5VyIIlmImhskFfaRG2pRZSzS19EFL\niXP5OmCdGu8n1VXpzEYoCRDOk0sxJ3vRJKFuuGPl+wx/Kwu+969xHZ2J3VCOD9sNwJkRuTKLSX8G\nmxT9KhzT09j6C1XXEZn8C8y3UHQdfRUYmfB93g7cgz0Zr1dH9kzWcGhkr7exa4m05RRHayA1oxLi\nafUxzic9KuZ57ZgWXkmqyfNXEZlBx8fs6wr2fxjwUxG5DfgdMEOD2SDHVljm4/FYBMXvgV+p6hMR\n2b2B42pEE1Rs3jMLxpTCfGyWDXTK0Qjpjjk0fS3RVIfsPBGpJMDcVGf/NevbawnnpZTP/qxk2B6M\n3UiX5M/pMo7WwK2SnlF5MLCjqq4O+7oUCwHMO9l/SXpUzMnAThpML8HPckfoI8sl2FJ/V4fXH6Q6\nYqrCUGCGiCzBrqOrVPU/eaHw3W+FhSrPFIsM+pXGq6Z+Efi6iLyBZUnXytBtDGvyLtKZjcRkniCb\nlNBDYkZlkL0YewKYg9nefobZEfNyVbOfWFtoPx8LofsklnF3LTYzqSrMFNpqPmZnZAdgCv4KbFmv\ni+rIvx9bcOElzCS0Z+79LWJbF3/P7Oz+XGzmc3lErh/pmaeVwk1vUiNOGHuS2guLeBiIrdTzu4I+\nbwE2pD2efg8iBcOwfIGjMfvt0+GY9i7o87jYFpHbCpvdPhRejwe+08XvvW6CECWfGCiRURmunw0y\nrzcg/uQbKzZW1Rbab8T8ZJXXAylIPsRCPU/EMsV3Svi+xmN64bGiPoNcC2YKW4Dpn8eokSm7pra+\n4DydiTmcrsSiLT6BeeGr4tPLOlrFlr9SrVEUKHj6T8EWqRbM1v99rV6Meja2elM2KuYqzTnBwnuX\n1BiWanBOiq0CX1n5peLE3URVn64x3gFYQbBPYanzw3Pvb4gpzI9jy+5djPktdgSuVHMmD1WL4d6A\nCBpqTovIn6lRzEjj8fbHZV6uBJ5W1X9E5M7HlPU+qvoOsVjx6zWyOEIqIrIRtt7lfthveT0wSSNL\npJV1yIbPrB/6/5iqdrredoieOBn4haruFNoeUtXtI7Jjgfmq+oaIvA9TSL/WUOs/yPTDbkyPYje8\nVcHxuK6qPhfpM9nRmhIEEOQ+ipkkbsa++/cA31LV3+Xk7sQCBLJRMT/STAx8RvbX2CpO08L+D8fM\nI09Ae9RJiJJ6uHKdi4Uvbquqd9c4rk2x2jPHYN/T+Nz747FrbCJmVrpYVWeLyNsw0+AWIrKNqj4W\nzqUqtAtLCNalp+8sCXfOmeHvnExb0UK0N5PgaMXCBx+kvcTtAxSUwy0xzqTFpMseO9UzkmhaPabM\nf4XN1C/FHn37R+SewOLBq+yItNdFuTb8nUd1jey5Gfn3hm0KZoo4NGy/IZKdGz4zKbEtOfM0vLc+\nFsf/nsrWgHOvrkM28z2cF76fqeTS4oGp4e+DZDJ4Kc7kTSqbW2kP4xyHOV3PBv4SkStT3z7J0Upi\nEEBGfgT2RHk4xY7O2GLSOxTInlZry8jdR+ZJAnvSiC5oD/y/cDwPY3H6RfVnbsMmR4Mj7308/L0w\n/L05slUFDDRy67aOGzZA+wIHYnbyH2LOjSITx3tjW0RuDqEQVHi9d+wCC+8lpdUH2dSomNGYeeWP\n1L4BxR5Li479d5jtsKYDNXKC1408SPmNUtpCe8wxF6uhfTf2mFtR8MNjcuG9z2BK88Vw0SyLXTih\nj29j2Z6FC3Jk5FMc8fOwRKqPkom8yMmUKj6H+VHGZo79SEJ0TtH3ic3wv1zj+yxT3z7J0UpiEEB4\n7zLMVLNN4jmVFBWT2FfsOqrl5N2xZP/rEylk15Nbr3eekp4ghKY7Wpeq6t8zn7s9OKFiJKXVi6W/\nH0h76YN9xUrsxpIQ/oSZQP5cq09gkYgcpiH7U6yOeHSdVu1YHrYWV4jI5zFfxSzMUfYTVT0rcyzR\nR8fMvvKPkMNFZIyGpJpgQsqbgD6KKcnRIpLNZl2XyKLCxDNP80sHVpiEPYXdparvD07AWIxwyoLj\nlfGmOuJ30IKV7CtoMA2qJcqkJJzFyuYeW9D9ivDdHkd7AlKsFHGZ+vZ1Ha2B1CAAMFv93pjDfgz2\nvd6mlujVhoish91ER9GxxG5VuQ8RmYCZSbegY8JXvlTAXBE5EfNtgTl55xJBVb8Z+t6YjMNYVf+d\n2/ct2NNH/3Asi0TkVlU9KSMTzXHI9BlLCmwIvd7GDmkJQkFuD8wu+g5slt8CvJY/eUXkbMyB+lvs\nYv0INtv7A3RUXJXog4Qx/oVIfWaNJyzcraq7J/Q5FruxVGqPzMce856KyKYe+/2quqNYDZRdCDVQ\nsheDiNwc/h2EPbE8gCmC8ZjDbe9cnwdhiqhysYwCPqeZGvNiGYqjMSdeNhJiKTZ7qorgCQq6knl6\noxZknorIvaq6q1jq+e5q9uaqxcVjbUWIyKMkZDyL1Yz5NGayySqCWMJXcsJZkK8sz1fLB7QttnLT\nnar623BT/Yiqnln7CGse02Rstr4MM2+th5nnds/JnY8p1anYdXQUFqv/D4hmKLdgN7X3hzEvU9Vt\ncjKVVaPy11HVQjQi8jiRSZfm1iYISvocrCSDYualr8RuqmLJiz/Brrnnw/E9qqrb5eTuU6tP8xlg\nc1U9TUTm5K6jS8K/G2NPfzeF1+8HblHVmoq/K/R6xS4lskRTHa0ZxRVDVXWfjOy+2GN2vbT6Dj9q\nnWP6LyzC5vpcn1FniiSs/FJw7OO0OvP0YcyO+RusBsqtIvKAdqxzU5H9HVZ18sHwenvga6r6yYjs\nWpgTDexx/I28TJDbVlUfybW9T1Vviciujz2hZWdjsUJYV2OOrK9gF++LmE384JzcGZh/pu6C46mO\n+CD3GPY08j0sA/JRVZ0UkX0AS3jpUNcl/93nZ62V9tistQwichjmfwBTLNdGZJIdrZIYBBBkb8Se\nGO7EnppuL1CsVVm3NY4nadJVhvAb7UOusJiqnpCTexALqLgUOEVttbOoDhCRa4HPVs4lERkB/F93\nKva+YIppxWYNtwCo6v0iMqpIWBOqJmq5VZk+hSmsAdReceg6ETlA43Gsed6JmZj2yfUZK/KEqr6a\nMtCUY6dODZQc21SUeuj/oXBjjbElVpdkELCDFKz0BEwN0QxnBdkfYjeiDlEPIvJ9LBz0Kdojb6Lf\nkaoeEf5tDTftYdjiCnkmAd+WtHji1MqaqcvyQf26LhX+QmTWGkMsaqSVdnNE5ZjG5OTOxGbLV4Sm\nSWI1WTrEkWuJSoxablWmOdgT4vZYtvFLInKnqubrwFwmVqrgWjp+70sifSbVMipJamGx72G/8+1B\nqY/Bkv9ijMpNEP5Dx1WwGk5fUOypCUKQXjWxDDuo6jsT5O4Crg4znnpK4whgjBaEhnWSpGNX1UoM\nOQAi8m/s0TDGo+HCuRxTqsfSnpTUhljdjPdhafd/warp3U61PRpgd2yRgjsw+/oVVJdEBYsNH1v2\nO9IafhYtt9xea6Jc6rJ8EE84iz09DMraautwMeZ7mkVtv0FqghCUSPhKRVW/Gva7DjZZugQrB7BW\nTvRN7KZ/Ch1v6LEiaKmTrjJUCovdRu3CYldiT8eV13Mp8P1hxcIqv7tiT9a1rAZdR3uBB7fWRmKC\nUJDdApsFDsVCnn5CwWrkJfZfM60+IzcXs0GnRB38noIFEbowzu449kGY0rg6bF8lvjTeg9jMs5J+\nvwnw54I+B2IX7v3AP4FjCuT+0OjvKPS7GWbvrBkWCfwgsa2yLN97qLEsX0a+bsJZ+J4/i4UHblDZ\nCmSrViEqkEtKEArvVRK+VtCghSGw4Iffh9/8xnCO7hORewrL+k3pM6mWEYm1b0L7kHAu98cc0icC\nGzbgvDsi/OZ1Ew0bsfUFG3tSglBGPrUcb+r+H8WiI+ZRo0h/uCN/QMOMqE6ft2A3gXupv4BGvUVG\nKnJDMGdUZUbWgoU+vl73ILuIiNyjqruJldl9P6YIHtKcwynIPoBFp3wfy+z8Bfb4e2RObkKQe4g6\n31GJcf4AmyXXrK4YZGMVFpP9KDXGsCn21LIai1ePJQh9Ect6fInMrFVz5pUgeybmKP8jNfw1kpgg\nVPJYRqvqvHptof1kbBY8S+OlLipy12A3+7rnrYhcCJytOZ9NRK5MtczSSYG9kV6v2MtQ0tGaqjC3\niO1Lqz3vv8IeF+vWZxaR9xb0eWtOLhpyp/HQr7uwZfFeDa/XwTI198rLNhoROQ+LDz8GWyj4VSx2\nuMoGKyITVHVmru3jqnpZru1hTOnnIx6SawdF9v04Fm8cdewGmf+HhcONxWaXFdbFHK8fy8n/L/BD\nDZmeweH736paFZopFkHxXSw6QrA8i++p6i9zck9h0T3R0NacbOyRXjUTAJCRHYHZ2QWb6VfdVDKy\nKY7WZIWZSnCEb4fdgKrq6eRka066pL32zQ+x6JkKQ7FopNjEYyZWPuHN8Hog8A/NZTyXuan1BL3e\nxh5mbt+mWgnHZk6tJDhaixQmEZtwXoHXYF7YBoatEE1fQCN5kRHMRNLmZFXVV8PTThWpN7UUxJwf\nk4Ni+7lYQayhWpB6r6ozRWRvLFrpErE0/9sjoi+o+QMayVzMHluo2LFooeuIhGVq3IH3Ac1EXanq\niyJyMPGY+9SiVQ9jBcPqoomBAOGcvw1bZOKxOrI1Ha1SvlhYGf4UthQOqvN+6UVGsGztNr+O2uI1\nses5ZanBHqPXK3YSE4QCqY7WMgozCc3EqwcH6jpakLgi6etUPoQ5mFJq37wmIjtXHsFFZBciK8+U\nuamloKoqIn8inND1Hlmlek3JgcTXlJwlFk99DQkhoXX2+TPsGGtWVwz/vwy8LCJTgCWaqS8iIrtr\ndX2RFhFZq/IUEB7d8w7BCvMxpVJhKZaSn2dVGGfKrHUT4H+Bt6nqB8Ti2vdU1Xz1wqQEoUA9R2tn\nFGYSmolXD08/m9eYJPxLaqyMpOWX+oM6SYHdfFNrGH1BsZdZdzO1HG8ZhZmEWJhbzYzODDXXqcyQ\nvJg1FsN9pYg8G16PwOzJeere1KR8ca+7RGRXVb236DMZUteU3Cn83SO7awpCQutQMf3Mwm4UWYqO\n83w6zshei7SB3ZRuFIvpVqwcclUyTWABVj62Q9EqETkJOpjtysxaf0XCQt5qqz3dSscEoe2wOj8x\n1sNWLwILH8321RmFmYQkZHRmZPMrI10uIrGVkY4Ipr1lWBjsDliC0uWRIXwei4Y5F5t0PYPlFFRI\nvqmJxbrHzq/CxbQbRV9Q7GViVb+MneBvYKFFMzAnXZ4yCjOVmqva50iNZ25N3blaLO022IknWJLQ\niohoyk3tR6n7Dbwf+JyI/AtTgLVO3KQ1JVNNDClUZoEiMik/Qw3KIYZkb35q8d1V14uq/jBcwJUM\n2e9rJuM2x1NhqzAt/O1wY9NIlmUNkurGS3WC0K5avH7uZOC+8MTQ5miNyJVRmKkMC9fRZ4BLNGR0\nFsh+GvNFvAZtzvE7sci5LAeo6tdF5AjsqekozIZfNU61rO49pCApsORN7ZA673cbfUGxJ8eqqnnS\nT6F99lJEawPHV6HeqvZZkhbQ6ISjcFfabec7STxJqO5NrRP7LbMK/FQR+QWwnlgiyvHARZU3ReRY\nVb28MovNo11bAPg4qmeon4y0Qbn6ItdRvABKVi5pjUsROQSbkOSTjmI5EakLeacmCKFWmuAW2h2t\n3yhwtCYrzBL0D07eo6l/HQsdY/dXhbY8qbVvKhnUH6a6Vs33cqJ1b2ol/HMNpy8o9tQEoWRHaycU\nVwrJGZ2qenKwz+2NnYgXqOrVeTlJrP8SZFNt562pBxTMWZOxxKNsHZQOYXdlTmBV/ZHYajuvYE8X\n31XVGzIilRl8mWSimkhxAbKhxAuQgT2Sn4M5QSv1RU7IC4Xf8QdYPRChthJO5adYvPuDCX6gkzDz\n0tj/3975B91RlXf8+yVtJQKB2KqtpQLBKTQiYSCUoHHQQKkZQ7AiaSkwxlJrLRiQ1k5R28YiWmpS\nOoIggglBh+GHZCg4g8hgLIYQSkIgDASFmqYoWOtUNIWIAz794zmbd9+9Z3efc/ece/Peez4zO2/u\nvSdnd++Ps2ef83y/D8n74Hzjq43ELhAKWWg1D5gBhCg6V8NWGel2kk9AB+G/cKFPb7o09C7qJ9C7\n7aZFdvNFLeR3HA1JnCjfdYNRIOTafhsanzsEzbao5qpMHY6b8Pihu9cOweQajNOhsuNqu01Qn+0t\n7svwPtT7nJuqRwWew3poiGGrey+XwxVx7tBnq/DHneuHI57HQVBl7P2YbOl8dN1nFND3UwB+J/L7\nvg4arrO2txTyNgmEXNsF0LTMu6Gho1vh98xvrcqUekNLZSRMFDufCVefFjp5qPOD99bA9bR7zP29\nBsA73L/rLLV9v+NLkr4vg/wQ+vzgtrnB99tugHkU9Yq59cY+zQNmonMyFdBAWJGRW+B8v1v2HVJq\ncLP7+2jpuW91PHefH7uv2MS6RO/9a6Gxz0VoULZC71DOhRbQqPVuh+Y4xz7GY6G39xdBZ+QXAriw\npu006GRmWVNbaGbZcTBeyFy/89wx7EDFZz10wEz0Wc6DmpMVj/eDxtyr7UKKjHwBwJsM7cwXtZDf\ncaxtKoRi2nJVy5gXWsVmmJUKa65siPeNdUH4CngcMGv6/JlL3XyS5HnQrI7XtJ6dB04If2ZVFsP2\ng7N5rbDBZSbchJIBlXQoJ0bydOjC8DfRnGYKaGGIJ6Ae+7tdGz3tNlELgt+Glu8ctfjxVVAl4xHU\n8mqLReSTlaaXQC+8e6NFEwH19O+xi64i/uwsL5aFVgkwC0uINXMpxPtmPoClrC/gXqQz3wEVPhUO\nmC9As5x8pPCwamTUlKdfhi60PobSQqtUvLFJ3gute3kt1LTpWQBLxWNdm+g47wZwuUzOlV0mIidW\n2h0EdYL7Fah/yP4ArpTJxQ2KtlY16yYRmcuSPJ7kBvEoVEk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"text/plain": [
"<matplotlib.figure.Figure at 0x10a805240>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy on training set: 0.988263\n",
"accuracy on test set: 0.951049\n",
"---------------GradientBoostingClassifier-----\n",
"accuracy on training set: 0.988263\n",
"accuracy on test set: 0.958042\n"
]
},
{
"data": {
"image/png": 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aWg+AHFPM7BwzW5SWb+FKenGPB8rPUy9t/qOyPIn7QjaoClgPETmV7zxQ2/Rk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\n2OjDanIDZjZY23awmX0n0+Zt+EOhHp3RS2huvc0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UwVSbhG0q7XosPVy67N4i8i/3eEsA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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1c1382f630>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"------------SVC-----------\n",
"accuracy on training set: 1.000000\n",
"accuracy on test set: 0.629371\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x10ab0bb38>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"-------------SVC SCALING---------\n",
"Minimum for each feature\n",
"[ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
"Maximum for each feature\n",
" [ 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.\n",
" 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n",
"accuracy on training set: 0.988263\n",
"accuracy on test set: 0.986014\n",
"-----------NEURAL NETWORK--------\n",
"accuracy on training set: 0.206573\n",
"accuracy on test set: 0.153846\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.6/site-packages/sklearn/neural_network/multilayer_perceptron.py:564: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (200) reached and the optimization hasn't converged yet.\n",
" % self.max_iter, ConvergenceWarning)\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"accuracy on training set: 0.992958\n",
"accuracy on test set: 0.965035\n",
"accuracy on training set: 0.988263\n",
"accuracy on test set: 0.986014\n"
]
}
],
"source": [
"import mglearn\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import sklearn\n",
"\n",
"from sklearn.neighbors import KNeighborsClassifier\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.datasets import load_breast_cancer\n",
"cancer=load_breast_cancer()\n",
"X_train, X_test, y_train, y_test=train_test_split(cancer.data, cancer.target, stratify=cancer.target,random_state=66)\n",
"training_accuracy=[]\n",
"test_accuracy=[]\n",
"neighbors_settings=range(1,11)\n",
"\n",
"for n_neighbors in neighbors_settings:\n",
" clf=KNeighborsClassifier(n_neighbors=n_neighbors)\n",
" clf.fit(X_train, y_train)\n",
" training_accuracy.append(clf.score(X_train, y_train))\n",
" test_accuracy.append(clf.score(X_test, y_test))\n",
"\n",
"from sklearn.neighbors import KNeighborsRegressor\n",
"\n",
"X, y=mglearn.datasets.make_wave(n_samples=40)\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)\n",
"reg = KNeighborsRegressor(n_neighbors=3)\n",
"reg.fit(X_train, y_train)\n",
"\n",
"reg.predict(X_test)\n",
"reg.score(X_test, y_test)\n",
"\n",
"print (mglearn.plots.plot_knn_regression(n_neighbors=3))\n",
"\n",
"mglearn.plots.plot_linear_regression_wave()\n",
"plt.show()\n",
"\n",
"from sklearn.linear_model import LinearRegression\n",
"X, y = mglearn.datasets.make_wave(n_samples=60)\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=42)\n",
"lr = LinearRegression().fit(X_train, y_train)\n",
"\n",
"print(\"lr.coef_: %s\" % lr.coef_)\n",
"print(\"lr.intercept_: %s\" % lr.intercept_)\n",
"print('------------------RIDGE-----------------------------')\n",
"from sklearn.linear_model import Ridge\n",
"ridge = Ridge().fit(X_train, y_train)\n",
"print(\"training set score: %f\" % ridge.score(X_train, y_train))\n",
"print(\"test set score: %f\" % ridge.score(X_test, y_test))\n",
"\n",
"ridge10 = Ridge(alpha=10).fit(X_train, y_train)\n",
"print (\"alpha=10:\")\n",
"print(\"training set score: %f\" % ridge10.score(X_train, y_train))\n",
"print(\"test set score: %f\" % ridge10.score(X_test, y_test))\n",
"\n",
"ridge01 = Ridge(alpha=0.1).fit(X_train, y_train)\n",
"print (\"alpha=0.1:\")\n",
"print(\"training set score: %f\" % ridge01.score(X_train, y_train))\n",
"print(\"test set score: %f\" % ridge01.score(X_test, y_test))\n",
"\n",
"plt.title(\"ridge_coefficients\")\n",
"plt.plot(ridge.coef_, 'o', label=\"Ridge alpha=1\")\n",
"plt.plot(ridge10.coef_, 'o', label=\"Ridge alpha=10\")\n",
"plt.plot(ridge01.coef_, 'o', label=\"Ridge alpha=0.1\")\n",
"plt.plot(lr.coef_, 'o', label=\"LinearRegression\")\n",
"plt.ylim(-25, 25)\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"from sklearn import linear_model\n",
"from sklearn.linear_model import Lasso\n",
"lasso =linear_model.Lasso(alpha=0.00001)\n",
"lasso.fit(X_train, y_train)\n",
"print(\"training set score: %f\" % lasso.score(X_train, y_train))\n",
"print(\"test set score: %f\" % lasso.score(X_test, y_test))\n",
"print(\"number of features used: %d\" % np.sum(lasso.coef_ != 0))\n",
"\n",
"\n",
"print(\"--------------LOGISTIC REGRESSION--------\")\n",
"from sklearn.linear_model import LogisticRegression\n",
"X_train, X_test, y_train, y_test=train_test_split(cancer.data, cancer.target, stratify=cancer.target, random_state=42)\n",
"logisticregression=LogisticRegression().fit(X_train,y_train)\n",
"print(\"training set score: %f\" % logisticregression.score(X_train, y_train))\n",
"print(\"test set score: %f\" % logisticregression.score(X_test, y_test))\n",
"print (\" \")\n",
"\n",
"logisticregression001 = LogisticRegression(C=0.01).fit(X_train, y_train)\n",
"print(\"Logistic Regression, C=0.01\")\n",
"print(\"training set score: %f\" % logisticregression001.score(X_train, y_train))\n",
"print(\"test set score: %f\" % logisticregression001.score(X_test, y_test))\n",
"print(\" \")\n",
"\n",
"logisticregression100 = LogisticRegression(C=100).fit(X_train, y_train)\n",
"print(\"Logistic Regression, C=0.01\")\n",
"print(\"training set score: %f\" % logisticregression001.score(X_train, y_train))\n",
"print(\"test set score: %f\" % logisticregression001.score(X_test, y_test))\n",
"\n",
"plt.plot(logisticregression.coef_.T, 'o', label=\"C=1\")\n",
"plt.plot(logisticregression100.coef_.T, 'o', label=\"C=100\")\n",
"plt.plot(logisticregression001.coef_.T, 'o', label=\"C=0.001\")\n",
"plt.xticks(range(cancer.data.shape[1]), cancer.feature_names, rotation=90)\n",
"plt.ylim(-5, 5)\n",
"plt.legend()\n",
"plt.show()\n",
"for C in [0.001, 1, 100]:\n",
" lr_l1 = LogisticRegression(C=C, penalty=\"l1\").fit(X_train, y_train)\n",
" print(\"training accuracy of L1 logreg with C=%f: %f\"\n",
" % (C, lr_l1.score(X_train, y_train)))\n",
" print(\"test accuracy of L1 logreg with C=%f: %f\"\n",
" % (C, lr_l1.score(X_test, y_test)))\n",
" plt.plot(lr_l1.coef_.T, 'o', label=\"C=%f\" % C)\n",
" plt.xticks(range(cancer.data.shape[1]), cancer.feature_names, rotation=90)\n",
" plt.ylim(-5, 5)\n",
"plt.legend(loc=2)\n",
"plt.show()\n",
"\n",
"from sklearn.tree import DecisionTreeClassifier\n",
"\n",
"tree=DecisionTreeClassifier(max_depth=4, random_state=0) #only 4 questions can be asked\n",
"tree.fit(X_train,y_train)\n",
"print(\"accuracy on training set: %f\" % tree.score(X_train, y_train))\n",
"print(\"accuracy on test set: %f\" % tree.score(X_test, y_test))\n",
"\n",
"print(\"---------------GradientBoostingClassifier-----\")\n",
"\n",
"from sklearn.ensemble import GradientBoostingClassifier\n",
"gbrt=GradientBoostingClassifier(random_state=0, max_depth=1)\n",
"gbrt.fit(X_train,y_train)\n",
"print(\"accuracy on training set: %f\" % gbrt.score(X_train, y_train))\n",
"print(\"accuracy on test set: %f\" % gbrt.score(X_test, y_test))\n",
"\n",
"plt.plot(gbrt.feature_importances_, 'o')\n",
"plt.xticks(range(cancer.data.shape[1]), cancer.feature_names, rotation=90)\n",
"plt.show()\n",
"\n",
"print (\"------------SVC-----------\")\n",
"\n",
"from sklearn.svm import SVC\n",
"svc=SVC()\n",
"svc.fit(X_train,y_train)\n",
"print(\"accuracy on training set: %f\" % svc.score(X_train, y_train))\n",
"print(\"accuracy on test set: %f\" % svc.score(X_test, y_test))\n",
"\n",
"plt.plot(X_train.min(axis=0), 'o', label=\"min\")\n",
"plt.plot(X_train.max(axis=0), 'o', label=\"max\")\n",
"plt.legend(loc=\"best\")\n",
"plt.yscale(\"log\")\n",
"plt.show()\n",
"\n",
"print (\"-------------SVC SCALING---------\")\n",
"# Compute the minimum value per feature on the training set\n",
"min_on_training = X_train.min(axis=0)\n",
"# Compute the range of each feature (max - min) on the training set\n",
"range_on_training = (X_train - min_on_training).max(axis=0)\n",
"# subtract the min, divide by range\n",
"# afterwards min=0 and max=1 for each feature\n",
"X_train_scaled = (X_train - min_on_training) / range_on_training\n",
"print(\"Minimum for each feature\\n%s\" % X_train_scaled.min(axis=0))\n",
"print(\"Maximum for each feature\\n %s\" % X_train_scaled.max(axis=0))\n",
"\n",
"# use THE SAME transformation on the test set,\n",
"# using min and range of the training set. See Chapter 3 (unsupervised learning) for details.\n",
"X_test_scaled = (X_test - min_on_training) / range_on_training\n",
"svc = SVC(C=1000)\n",
"svc.fit(X_train_scaled, y_train)\n",
"print(\"accuracy on training set: %f\" % svc.score(X_train_scaled, y_train))\n",
"print(\"accuracy on test set: %f\" % svc.score(X_test_scaled, y_test))\n",
"\n",
"print(\"-----------NEURAL NETWORK--------\")\n",
"from sklearn.neural_network import MLPClassifier\n",
"mlp = MLPClassifier()\n",
"mlp.fit(X_train, y_train)\n",
"print(\"accuracy on training set: %f\" % mlp.score(X_train, y_train))\n",
"print(\"accuracy on test set: %f\" % mlp.score(X_test, y_test))\n",
"\n",
"# compute the mean value per feature on the training set\n",
"mean_on_train = X_train.mean(axis=0)\n",
"# compute the standard deviation of each feature on the training set\n",
"std_on_train = X_train.std(axis=0)\n",
"# subtract the mean, scale by inverse standard deviation\n",
"# afterwards, mean=0 and std=1\n",
"X_train_scaled = (X_train - mean_on_train) / std_on_train\n",
"# use THE SAME transformation (using training mean and std) on the test set\n",
"X_test_scaled = (X_test - mean_on_train) / std_on_train\n",
"mlp = MLPClassifier(random_state=0)\n",
"mlp.fit(X_train_scaled, y_train)\n",
"print(\"accuracy on training set: %f\" % mlp.score(X_train_scaled, y_train))\n",
"print(\"accuracy on test set: %f\" % mlp.score(X_test_scaled, y_test))\n",
"\n",
"mlp = MLPClassifier(max_iter=200, alpha=1, random_state=0)\n",
"mlp.fit(X_train_scaled, y_train)\n",
"print(\"accuracy on training set: %f\" % mlp.score(X_train_scaled, y_train))\n",
"print(\"accuracy on test set: %f\" % mlp.score(X_test_scaled, y_test))\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-------Data Scaling------\n",
"transformed shape: (426, 30)\n",
"per-feature minimum before scaling:\n",
" [ 6.98 9.71 43.79 143.5 0.05 0.02 0. 0. 0.11\n",
" 0.05 0.12 0.36 0.76 6.8 0. 0. 0. 0.\n",
" 0.01 0. 7.93 12.02 50.41 185.2 0.07 0.03 0.\n",
" 0. 0.16 0.06]\n",
"per-feature maximum before scaling:\n",
" [ 28.11 39.28 188.5 2501. 0.16 0.29 0.43 0.2\n",
" 0.3 0.1 2.87 4.88 21.98 542.2 0.03 0.14\n",
" 0.4 0.05 0.06 0.03 36.04 49.54 251.2 4254.\n",
" 0.22 0.94 1.17 0.29 0.58 0.15]\n",
"per-feature minimum after scaling:\n",
" [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n",
"per-feature maximum after scaling:\n",
" [ 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.\n",
" 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]\n",
" \n",
"per-feature minimum after scaling: [ 0.03 0.02 0.03 0.01 0.14 0.04 0. 0. 0.15 -0.01 -0. 0.01\n",
" 0. 0. 0.04 0.01 0. 0. -0.03 0.01 0.03 0.06 0.02 0.01\n",
" 0.11 0.03 0. 0. -0. -0. ]\n",
"per-feature maximum after scaling: [ 0.96 0.82 0.96 0.89 0.81 1.22 0.88 0.93 0.93 1.04 0.43 0.5\n",
" 0.44 0.28 0.49 0.74 0.77 0.63 1.34 0.39 0.9 0.79 0.85 0.74\n",
" 0.92 1.13 1.07 0.92 1.21 1.63]\n"
]
}
],
"source": [
"print (\"-------Data Scaling------\")\n",
"from sklearn.datasets import load_breast_cancer\n",
"from sklearn.model_selection import train_test_split\n",
"cancer = load_breast_cancer()\n",
"X_train, X_test, y_train, y_test = train_test_split(cancer.data, cancer.target,\n",
" random_state=1)\n",
"from sklearn.preprocessing import MinMaxScaler\n",
"scaler=MinMaxScaler()\n",
"scaler.fit(X_train) #only the training data, not the target data, is fit\n",
"# don't print using scientific notation\n",
"np.set_printoptions(suppress=True, precision=2)\n",
"# transform data\n",
"X_train_scaled = scaler.transform(X_train)\n",
"# print data set properties before and after scaling\n",
"print(\"transformed shape: %s\" % (X_train_scaled.shape,))\n",
"print(\"per-feature minimum before scaling:\\n %s\" % X_train.min(axis=0))\n",
"print(\"per-feature maximum before scaling:\\n %s\" % X_train.max(axis=0))\n",
"print(\"per-feature minimum after scaling:\\n %s\" % X_train_scaled.min(axis=0))\n",
"print(\"per-feature maximum after scaling:\\n %s\" % X_train_scaled.max(axis=0))\n",
"print(\" \")\n",
"# transform test data\n",
"X_test_scaled = scaler.transform(X_test)\n",
"# print test data properties after scaling\n",
"print(\"per-feature minimum after scaling: %s\" % X_test_scaled.min(axis=0))\n",
"print(\"per-feature maximum after scaling: %s\" % X_test_scaled.max(axis=0))\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"------date scaling-----\n",
"0.629370629371\n",
"------Principal Component Analysis-----\n"
]
},
{
"data": {
"image/png": 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X46D0QmnybCsbtnEN768YW6/KO9vquV1KKZN/cHIzcO0YuywAbpn0CWbGIMQI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LJR4jstIk4bpaxGz5tfthzYTtJ6ucZ1e+C36yjDzAZLndrRkbavWQdCI9sBd+biX16o24IG69qx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\n0oWprrxP0mck7QV8BnhfWvf1ue1wS4p1gaS/6mAbvk3SrWm7fAdQbtpKr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o4AAAMlSURB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\nmRX8f3mKPd6aX6iRAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fc4d400>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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X46D0QmnybCsbtnEN768YW6/KO9vquV1KKZN/cHIzcO0YuywAbpn0CWbGIMQI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LJR4jstIk4bpaxGz5tfthzYTtJ6ucZ1e+C36yjDzAZLndrRkbavWQdCI9sBd+biX16o24IG69qx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\n0oWprrxP0mck7QV8BnhfWvf1ue1wS4p1gaS/6mAbvk3SrWm7fAdQbtpKr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"text/plain": [
"<matplotlib.figure.Figure at 0x110316940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print (\"------date scaling-----\")\n",
"from sklearn.datasets import load_breast_cancer\n",
"cancer=load_breast_cancer()\n",
"X_train, X_test, y_train, y_test=train_test_split(cancer.data, cancer.target, stratify=cancer.target,random_state=0)\n",
"from sklearn.svm import SVC\n",
"svm = SVC(C=100)\n",
"svm.fit(X_train, y_train)\n",
"print(svm.score(X_test, y_test))\n",
"# preprocessing using 0-1 scaling\n",
"scaler = MinMaxScaler()\n",
"scaler.fit(X_train)\n",
"X_train_scaled = scaler.transform(X_train)\n",
"X_test_scaled = scaler.transform(X_test)\n",
"# learning an SVM on the scaled training data\n",
"svm.fit(X_train_scaled, y_train)\n",
"# scoring on the scaled test set\n",
"svm.score(X_test_scaled, y_test)\n",
"print (\"------Principal Component Analysis-----\")\n",
"fig, axes = plt.subplots(15, 2, figsize=(10, 20))\n",
"malignant = cancer.data[cancer.target == 0]\n",
"benign = cancer.data[cancer.target == 1]\n",
"ax = axes.ravel()\n",
"for i in range(30):\n",
" _, bins = np.histogram(cancer.data[:, i], bins=50)\n",
" ax[i].hist(malignant[:, i], bins=bins, color='b', alpha=.5)\n",
" ax[i].hist(benign[:, i], bins=bins, color='r', alpha=.5)\n",
" ax[i].set_title(cancer.feature_names[i])\n",
" ax[i].set_yticks(())\n",
"fig.tight_layout()\n",
"plt.suptitle(\"cancer_histograms\")\n",
"#plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"------Scaling-------\n",
"Original shape: (569, 30)\n",
"Reduced shape: (569, 2)\n"
]
},
{
"data": {
"image/png": 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m8JyZsVX3gPS9qgVnGptOSHovWf8XSb9lg4jYpvi9dvDf4Gt94NSCMHubpKfS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4Cj3X1l4FngV6mfzXb3DYCLgJuAnwAjgL3MbKGwz/LAJeH3nwEHm1k3YAKwi7uPRLGiB6V4P3D3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\nJXkEAABgLskjAAAAc/0NYk01He1PACEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1c1b83aa20>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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AnHKK2fc+lJ3ucnJCT/o5OXDLLWZUoaDMTFi5Ep55xmy1K4QQFZyMW4roV726WTOfnGw+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\nF23OPz9wtz1/XC546im4/vq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7I3AL0EUptTTv0V0pNVApNTDvnL7AX3lz+m8D1+vK0kIw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\nA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LnGRclp/vxnY6x+06b8gd/hgJtvNsb8Z8827tYLywtw5oyxX79+RXtflygkxMLzz7fj\nqae2FpgMFh5uoUeP4mVly1VY0ZuUlFJMYQwsWnTC73al4MknW/Pii36WcPrgdmtuvnllgfdnVmEu\nl8dDvs95585U+vdfxfz5PQoN/JMm7cLp9H18l0sza9YRMjJcOBzyNSJERVEeluxVTldc4T/wejxG\n9/nFqlWDVq0KBnwwegA+/thYu9+2rZGt74orjEQ+r71mRJThwwNL95uRYdzpB8GYMbH861/tqBnh\n4eHaG1jT6C22NXqDHzou4Pt/+1rwEbjY2AjTbRYLdOpU/AuKQBRWzCY83ML48W2KfNyFC4+bVsYr\nqsxMN488ssl0u9aaUaM2MGPG/kLqSClOnSrldNAlSGvNqlUnuffetVx//TLGjdtMYmIhq2GEqGQk\n6JeWxYvN196Hh8Nf/lK0inW5bDZj4t+8ecYqgW++gQYN4D//gSlTjHH6kSP95wXI9ccfAZ928+Yz\n3H33WmJi5tGu3ULefHMPqamB5W6/mFKKfzzQgJRr3mdKzdlcHXKQdiEnuOHUcux3DCyY/rcI/v73\n1qZr2cPDrfz9762KfexAdO9uXtXNZlM88UTrYqVC3bUrlezskquJnpiYxpEjvid7Tp68l08/PVho\nZ5HWRkrfisDj0Qwbtp5+/Vbw+ee/8/PPKbz1ViIdOy7i/ff9rJwRopKRoF8azp0zJsWZzYLPzjYC\n/7lLTFmalmZU9/vLX4yAP2WKMSlw1Spjhr3Dz6QtqzXg/PmffXaQ7t1/4ssvf+fgwQx27DjH009v\no1OnxZw8Wczu8hdewHLod2w5ecbfXS5jBcO4cUYdgiKaNesIjzyyqcDdttVqLAN88cX2XHVVzeK1\nN0DPP9/ONCtdZKSNMWOKt56+Tp0w0xSrxWGzGcv8LubxaF5+eVehvQq5kwiLkwgoGD788ADffnuY\n9PQLGRGdTiNJ1Nixm9m5Mzjpg4UoaxL0S8O8ef4nxWkN778Pt95qjOEX16OPwpYtxvi+x2McNzMT\ntm+HmTPhhRfM7/hDQi6sCvAjOTmL++9PICPDne/OLzPTzeHDGYwevbHo7c7MNGoN+KsU+M03RTrk\nr7/+wd13ryU11VWgCp7VamHBgh6MG1e6d/kA115bh5kzOxMZaSMqyobdbiEqykbjxnaWLetV7Dvj\nQYMa+h06qFs3jLi4SEJCFDabomXLCJ/16nNZLIpmzQoOhZw4kVVoD47VCjExDt54o+hFl4LllVfM\nLw/kO/QAACAASURBVGScTg+TJ+8t4xYJERwS9EvDsWOFr5N3OuH4cePuvDgOHzbu6H0FzpwcIz/A\nFVfA7bcbgT93XX1IiNHL8MILEFf4XefHHx80XYPtdGp++OFo0bv5U1L81wTIyjJyGRTBc89tN03t\na7HAsmUpRTrepRg6tCnJyQP48MOreO21Tsya1Y2DB2+5pPkEUVEhTJt2eYFArpSx4uHbb7uxZ8/N\nnDw5kDNnBrF9+01ERtp8Xns6HFYee6yVzyI7drvVtCZCrmuuqcXGjTdUqLSuBw6YF3ByuTQbNhS9\nZ0mIikiCfmlo1Mh/13oupxO+/rp459i82X+1PZsNNm6EiRON9L1DhsB11xl394sXG/MCArBnT6rf\nPPk2m8XvErm8zp1zMn16Io8+dwBXlp+7/JCQIqf5XbnSPKhnZXmYPftokY53qex2K3fc0ZjRo2Pp\n06deiVQ3Gz68ObNnd6dz5xpYLEZVu1tvbcAvv1xPjx7GXILo6BAiImyEhVlZtqwXdeuGnS/UkzvM\nMWhQI559tq3Pc1SvHsqVV5qXNI6IsPLKKx0rXInWwooV1a1bMeYmCHGpKtZvbnm1bZuRUe+XX4zb\nyu7d8TvtOa/0dGPfolbDCw31P4Sg1IUlgR07Gn+KoXnzCMLDLaZLw4x194UnaPnpp2QGDlyN1pr0\ndDc31YvlxvDd2JSPu0qLJeCLkgsvKSzpT8XPGJeZ6earrw6xbdtZIiNtOJ2aXbtSOX3a9wVUmzbR\n/P77rXz//RF++eUk0dEhDB3ahHbtqvk9z+TJ8Vx//XIf+fUtdO1ai+7da5XYeyorw4bF8M47+woM\n/QBERlp56CH/pYiFqCwkOc+l+vlnePhhY3Je7mdpsRhBXCnjbt7fZ1yrVv7SuYFKT4fOnX2n7gVj\n2d769UZGv0tw5EgmsbHzfQZ9qxVuuaUhs2d393uMY8cyiYtbkK+QTTPbKdY3mEo1SzahKk9wsduN\n6oCjRxd6zI8/Psj+/Wm0ahXFzz+fYMGCEz4/6txKcX//e2v/b7Yc01rTq9cy1q07VeDfwuGwsnDh\ndefv9kvC6tUneeihjezdm0pIiAW3WzNiRHNef72j3/oF5VVKSjbx8YtIScnOF/jtdis9etRmwYJr\nA74w1FqzcuVJvvvOyMzYr199br65QaW4sBQVV6DJeSToX4qcHKNintks/Dp1oH1748LAl/BweOQR\n46KhOKZPN5bqXTx/wG6Hhx4yjl0Cpk3by5NP5k+mExZmoXr1EDZsuIFGjfwvD3zuuW1MmrS7QLAK\nxUmkJYeWtlOMq/Urd3Z2Yn30EaMAkR/Tpyfyt7/9htZGCV673YrHo/F4dIE7OYsFatUKY8+efqU6\nBu10ejhxIouoqJCAsusV1c8/JzNgwKrzufUv1rlzDdav71vi5/399wxSU500bx5R4ZPwJCdn8fTT\n2/jss4Pk5HioWTOUxx5rxRNPtCYkJLCRztRUJzfdtJKtW8+cXwkQGWmjfv1wli/vla8mghBlSYJ+\nWQT9JUuM5WVmqXYjIozUuZs2GclzcnIuJOxxOCA+Hj76yP/YvD9aG7n2J082ehTAuP1+9FEjSU8J\nptVdvjyFF1/cwYYNp7HbrQwbFsO4ca2oU6fwsdCePX9mxYqTfveJiDDuuObO7eG3MtzKlSn067fS\n50zs3AuR1FQXHo9RVrd16yhmz+5OixbFz+fvj9PpYcKE7UyblojLpXG5ND161Gbq1PhCu9GL4sEH\nE3jvvQOmnUYhIYoTJwZQo0YoO3ee4+jRTFq0iKR5c/NkReWVy+Vh0aITHDmSSfPmEfTuXbdE76K1\n1mRnewgLsxS5UNCf/vQL8+YdK1CF0WZTtG0bzebNN0jxIREUkoa3LCQn+x+7V8rYZ8QI6NLFWKa3\nY4fRpf9//wc33lj0sfyLjz9smLE2f88e47m4uOJfRPjRs2cdevbsWazXBnLnm57uZuXKk7z77n5G\nj4413W/ixJ1+l17lBnuPR2OxGElonn9+B++/37nEy8xqrRk4cDXLlqXkm+z400/JdO36E2vX9qFN\nm+gSOVdamsvvKJHVqtiw4TSPPbaZAwfSCQmxkJ3t5ooravDFF1f7XJ5XHi1deoI771yD0+nB7dZY\nrYqICBvff9+Nq68umbkESqli5Rc4ejST+fMLBnwwVgAkJqaxfv1punQp3VwQQlwKmb1/KZo29V9i\n1u029gGjm3/yZFi0CP77XyNX/qUE/LxsNiMtb9u2pRLwL9WIEc2JjCz8vWZkuPn3v/f43Wf9evOl\nVR4PpKTkkJ3twenUZGdrsrI8/O9/h/n7338rcrsLs3x5CitWpPhc3ZCW5irRc/btW8/vDPSICBuD\nB//C9u3nyMhwc/ask6wsD2vXnqJLl6Wmk/3Kk+3bzzJgwGpOncohNdVFRoab1FQXx49nccMNKzh4\n0HzZHRgTHV99dSdNmszF4fiWuLgFTJ+eiMtVSGrBAG3efMY02yMYiY3Wrz9VIucqSVpr0tJcpnUU\nRNUiQf9SdOtmdOH7ohQ0aWKUu63ibr21AW3bViM8vPD/bmapYXP5SzhjJiPDzXvvHeDcueKlDTYz\nc2aSaa+D1rBkyQmyskomde7QoU1MPz+Hw0psbKTPDHtutyY11cWMGftKpB2laeLEnaafV3a2228C\nnawsN9de+zP/+tcODh/OJDPTQ2JiGv/4xxYGDlxdaO6BQERG2grtbSlPSxk9Hs3UqXtp1GguNWp8\nT0TEdwwcuJo9e1KD3TQRRBL0L4XFYnTZR0YaS+hyhYUZhXOmTw9e28oRm83Czz/35L77Yvx2jACF\nzhEYNqyZ37stM6GhFhISSjYBy+nTOX6DgFKKrCw3OTkePvjgAJ06LaJBgzn07Pkz8+YdoyjzaRwO\nG8uW9aJ+/XCioozAEhpqITzcwv33t2DPnlTTkabMTDeff36oKG8tKBYtOmGa7z8nx0gEZebtt/ex\nY8c5MjPzHyAjw83y5Sl8993hS25ft261/M4tcLk0t93W4JLPU1JGjkxg/PitHDuWhctlTHKdM+co\nV121hF27JO1wVSVB/1J16GBM6Bs5EmJjjQp5o0fD0qXQokWwW1duOBw2pk+/km+/7WZ6t263W3jk\nEfPxfIBx41pRo0ZogZGRwkZKtNbYbCU7weraa2ub5tkHqF49hPBwC717L2Ps2E1s2XKW48ezWLHi\nJEOH/spjj20u0vnatavGoUO38PHHXXjmmTZMnNieFSt68de/Nve5/jyvnJzy37Vb2Pw3f7kYpk3b\na5pEKj3dzX/+k3gpTQOMi9cpUwpmRQSjt+XJJ1tTq1b5SPKzefMZvvrqUIGeKK0hNdXFo48W7f+e\nqDwk6JeEevXg8ceNTHcLFxpL5WrKZB5fBg5syKBBjYiIyP/Fabdbad++GmPH+k8NXKtWGAkJfbnl\nloaEhVmIjLQRHm7hppvqExZmHhS0hquvLtl/kxEjmpve+eUGgalTE9m06UyBL9/0dDcffHCAFSuK\nlh7YZrNw++2NGDq0Cd9+e5jrrltGjx4/+ezazxUaqujX79JKFpeFAQMaml68hYVZGDKkselrU1L8\nz1kobNgoUPfe24xPPulCTIwDu92Kw2Glbt0wJk3qyIQJ7UrkHCVh5swDpkMlWhtpqUt6uEtUDOVn\nAEpUCUopPvusC1988TuvvbabpKQMatcOZcyYWEaNahnQrOpGjezMnt2dM2dySE7Opn79cKKjQ7j3\n3rV8992RAgHW4bDyr3+1K/GkMrVqhTFnTnduu201Ho8mI8ONxWKU8L3jjsY89lgrmjad5/cO9JFH\nNtK+fXXS013ExUUydGgTOnf2fXGSmJjGW28lsmbNH2zYcPr83b1ZtsRcISEWHnuseNX9ytL48W34\n+uvDpKXlv4BRyrgo9NcL1KyZg+3bzbusW7e+tCRVef3pT40ZPLgRv/+egdutadYsotwl5klOzvZb\nGtlqVaSmuoiOLn8Tf0XpknX6otJwOj2MG7eZDz44QFiYBa2Nu5oJE9oyblyrUls/ffask08+SWLt\n2lPUqRPGsGExxMcbxXVCQr7B5Qr8d8xut9K3b12+/bZbvoQx7767j3HjfsPl8hTalR8ebsHl0tjt\nVqxWxezZ3bnuujrFe3NlbO3aPxg6dA1//JGDxWJMRGzUyM5333Xzm/fgk0+SePjhjfmyPuZyOKz8\n8EN3+vSpV5pNL1fefHMPzzyzzXSiaXS0jZMnBwaclEiUf5KcR4J+lXXmTA7r158mJETRtWutoKaN\nbdhwDseOBVaQKJfdbuHBB1vy5pvxAGzZcoZrrvnJb+GjvDp0iObee2No2TKCW29t6LOa3rZtZ5kx\nYz+//55Bhw7VePDBFjRuHECRqDKgtWbdulMcPmwk57n88uqFXrB5PJq77lrDvHnHzgf+3B6CUaNa\nVqgywCXh9OkcmjadV6DXBIz/X4891oqXXuoQhJaJ0iJBX4K+KAdeemknL764o8Cs8sI4HFZSUgbg\ncNgYPnwdn376e8DLzrp1q8Xq1df73Ka15okntvDWW/vIyXHjdhvj5RaLYvr0Kxg2LMbn6zZsOM3q\n1Sex263cdltD6tcvvMhSWdNaM2/eMaZOTeTQoQxatYpk3LhW9OpVN9hNC4qlS08wcOBqPB7OXzBG\nRtro1q0Wc+b08HkxKCouCfoS9EU5kJXlpmfPZWzbdta0q9WX6GgbK1f2pmPH6nTsuJCtWwNbYhUe\nbuHxx1vz/PPtfW7/3/8OMXz4etNu8HXr+uTrRk9JyaZ//5Xs3HkOl8vIkOd2a0aNasm//92pwIz6\nhIRTLF2ajNWquPnm+iWaijhYTp7M5oMP9jN//nEcDhvDhjVj8ODGFSJoJidn8f77B1i58iQ1a4by\n1782p3fvOpIquBKSoC9BX5QT2dluPvzwANOmJXL8eDZnzuT4nWQFRrf01q030rJlJH36LOenn5ID\nOldEhJW9e2+mQQPfhV/i4xfx229nfW6zWo0StB98cBVg3Dl36rSYXbvOFZhH4HBYGT/+Mp55pi1g\nDKnccssqNm8+Q06OB6WMlQZ9+tTlf//rWqy0t+XBunWnuOGG5TidOs/dspUmTRysXn09NWqUXhEn\nIYoi0KBf/i9VhajgwsKsPPRQLNu39+PkyQHExBSeB79JEzstWhj7PfRQywJLHC8WGWkjKsrG3Lk9\nTAM+wK5d5tnY3G5Yu/ZCGtnly1M4cCDN58TBjAw3kybtJjvbCISDB/9CQsJpMjLc5xPBZGa6Wbr0\nBCNHVswL8JwcDzffvJJz51z55lOkpbnZty+9wr4vUbVJ0BeimLTWrFp1ktGjN3Lffev4/POD54Og\nGaUUkyfH+03q43BYeeutK853wQ4a1JDOnWtit+f/dbXZjGGABx9szpQp8Rw7dluh49eFpYmtWfPC\nnevPPyf7HAbIa+fOVHbsOMeaNad8JgDKzPTwzTeHSU4u2mTG8mD27COm+epzcjzMn3+MlJTsMm6V\nEJdGgr4QxZCV5aZPn+X067eC6dP38fHHBxk1aiNNm85j927/uc1vu60hH398FXXqhBIaemFs1WKB\nNm2imDu3B337XlheZrNZWLToOp588jJq1gzFalXY7VZGjGhOYmJ/3nmnMyNGNA8o7/uwYc1Mx6Ij\nIoyZ7rmsVuU3bbLWRknZVatO+s2mFxZmYd268leIpjA7dpwjNdU86VFYmJV9+0zKagtRTklyHiGK\nYezYTfz66x/5EuOkpblIT3dx/fXL+P33W/0mbBkypAl/+lNjliw5wfz5x9Fa061bLe68s4nPSVah\noRaee64dzz7blqwsz/kZ90U1fnwb/vvfQ5w8mZ0vf0B4uIU2baK5444LWe8GDGjEq6/uNp2A6HBY\nads2moSE04W2pSJMertY7dph2O0W05UXTqeHWrVkTF9ULBXvN1GIIDt3zsmnnx70mQkvN7f5vHnH\nCj3OxIk7GTBgNe+9t5/p0/cxcuQGWrZcQGKi+d2jUsZdfnECPhgFjTZu7MuddzYhLMxCWJiFqCgb\nDz8cy/LlvfIF5/j46lx3XW2f1f0cDiuTJnXEYlH071/fb/lajweuvbZiJAfKa8iQxn4nXDZvHkFc\nXMll+hOiLEjQF5fmwAH45RdISgp2S8rM7t2pfiv9paa62LDBf3f2zJkHeOWVXWRne8jIcON0GjXP\nk5LSufban0usJK8vDRrY+fzzqzl37naOHLmVU6cG8sYbnXA4Cnb8zZrVnTvvNMr6VqsWQnS0jerV\nQ5g8Of78mv66dcMZNaqlaSGaCRPa+p3DUF7VrRvOCy+0K/C+lDKGQj74oNCJ0kKUO9K9L4pn3z54\n9FHj75AQcDqNKoNTplT66oJRUTa/qXBDQy1ERZnnNNda89xz2312m2ttDBP873+HuffeZiXSXjOh\noZZCq8KFh1v5+OMuvPFGJzZsOI3dbqVr11oF0re+8UYnoqND+Pe/95yfB2CxKJ5/vh1jxvivnFie\nPf74ZcTGRvHss9vYvv0cFouRf+CllzrQoUPFz0Egqh5Zpy+K7sQJuOkmOHeOfAXllYLoaFi0COpW\n3ixoWmtiYxewf3+6z+3h4RZ27epHs2a+l+YlJ2fRtOk8srPN+46HDm3Cl19eUyLt9SU11cmuXalE\nRtq47LKoEkvWkpnpZvPmM1itissvr16pcru73RqLBUlsI8olWacvSs8HH0BGRv6AD8bPmZkwc2Zw\n2lVGlFK8++6Vpt3Z99/fwjTgg1H1zuPxf7F98fK8kpKd7Wb06I3UqzeHvn2X07nzElq0mM+PPx4v\nkePn9gR06VKzUgV8MFYzSMAXFV3l+q0UZWPuXKM735ecHJgzp2zbEwR9+9Zj3rwexMdXIzTUgt1u\npXbtUCZObM+UKfF+X1ujRijt2kWbbo+MtDF0aNOSbjJaawYNWs3MmUlkZro5d85FRoabpKQMBg/+\nhcWLT5T4OYUQ5YuM6Yuic5mvXQbMLwgqmV696rJp042kpGSTleWmYUN7wHXV33gjnltvXVWgcl5Y\nmIW4uEhuvLHky8CuX3+aFStO+qzWl5np5tFHN7FjR78SP68QovyQO31RdN26GYnafbFaoXv3sm1P\nkNWpE0aTJo6AAz7A9dcbOekbNgwnMtJGtWohhIVZuOWWBixb1qvYS/L8+frrQ37L8x44kM7hwxkl\nfl4hRPkhd/qi6B56yJisl5lZcFtoKIwaVfZtqoBuuaUBhw7dysaNpzl71kn79tWoV6/0StZmZLgK\nTMPIy2pVPnMPCCEqD7nTF0XXujW89RZERBh/bLYLj99+G1q1CnYLKwyLRdG5c0369KlXqgEfjOGI\nqCjz6/zQUAsxMY5SbYMQIriCcqevlJoA3A+keJ/6p9Z6vo/9+gFTACvwvtb6lTJrpPCvd29ISIDF\ni+HIEWjcGG64AcL8r/sWwTNoUCMee2wzaWkF7/gdDiuPP94am03uA4SozILZvf+m1vp1s41KKSvw\nFnADcBhYr5T6QWu9o6waKAoRHg633RbsVogAhYZaWLGiN9dfv4wzZ5ykproIDbVgscA99zTjyScv\nC3YThRClrDyP6XcBErXW+wGUUl8CAwEJ+kIUg9ut2b07lW7danHwYAY1a4bStWst7r67Gc2bm+cV\nEEJUHsEM+mOUUv8HJAB/11qfvmh7I+BQnp8PA1eXVeOEqExSU5307r2c3btTSUszllxGRFhZs+YU\ngwY1CnLrhBBlpdSCvlJqCVDfx6angenAC4D2/v0GMOLiQ/h4rencY6XUA8ADAE2blnxiEyEqsvvv\n38C2bWfzpf5NT3eTnu7mhhtWcOjQLZVqPP/EiSy++OJ3jh7NpE2baIYObUJERHnu2BSibJTab4HW\num8g+yml3gPm+th0GGiS5+fGwFE/55sBzAAj937gLRWicvvjj2xmzz5imus/Pd3FggXHue22hmXc\nstLx5pt7+Oc/twKQleUhIsLKo49uZtasbvTtW/JJj4SoSIJyaa+UapDnx9uBbT52Ww/EKaWaK6VC\ngT8DP5RF+4SoTIxSwOalbdPSXPz225kybFHpWbDgGM88s42sLM/5nAPp6W7S0lwMGrSagwd9F0kS\noqoIVn/eJKXUVqXUFqA3MA5AKdVQKTUfQGvtAsYAC4GdwNda6+1Baq8QFVb16qG4XOZJd8LCLFSv\nHlqGLSo9Eybs8FmyGMDp1EyblljGLRKifAnKIJfW+l6T548C/fP8PB8osH5fCBG4Nm2iqF8/nH37\nzO9y77ijcRm2qPRs2nTxfOALcnI8LFkiRYVE1VZ5Zu4IIXxSSvH++51NSwE/+eRl1K9futkAy0ph\n9Q9kMp+o6iToC1EF9OpVl6VLe9K9ey1sNkVIiCImxsHbb1/BhAntgt28EvHcc9txuczn8EZEWBkx\nonkZtkiI8kcue4WoIq65pharVl1PeroLp9NDtWohKFXy1fyCYdOm07z++m7ToG+xQMOGdu66K/jL\neZ1OD599dpCpUxNJTs4iLi6Kxx9vTf/+9SvNv4covyToC1HFVMYu7mnTEk2XJILR7b9mTR/sdvNV\nDGUhJ8fDjTeuICHhFOnpxoTDo0ezSEg4xfDhMUyderkEflGqpHtfCFHh7d6dittt3rXvdGqio4N/\nsTNtWiLr118I+LnS093MnJnE8uUpJq8UomRI0BdCVHgtW0Zi8fNtVr16SLnIODhlyl7TJYUZGW4m\nT95bxi0SVU3wfwuEEOISjRkTS3i47677sDALDz7Yooxb5Nvx41mm27SGxMS0MmyNqIok6AshKryr\nrqrJww+3JCIif+C3263ExUXyzDNtg9Sy/OrWDfO7XaoditImQV8IUSm89lonvvzyGrp3r0WtWqHE\nxkby0kvtWbu2D5GRwR/PBxg7NtZ0MqFRIyCujFskqhqldeWrTdO5c2edkJAQ7GYIIS6R1pq1a0+x\nbt0pHA4rAwY0pG7diptIKDvbTa9ey9iy5Wy+sf2ICCt33dWUGTOulNn7oliUUhu01p0L3U+CvhCi\nPDp2LJN+/Vayb18aLpfGZlO43ZrHHmvFSy+1r7DBMTvbzQcfHGDatERSUrJp2TKSxx9vzeDBjSrs\nexLBJ0Ffgr4QFZbHo7nssh85cCC9QMIdh8PKiy+2Z9y4VkFqnRDlT6BBX8b0hRDlzsKFxzl2LMtn\nhr2MDDcTJ+70WzlQCOGbBH0hRLmzePEJ0tJcptuzstzs329eNVAI4ZsEfSFEuRMSYsHf8LbWYLPJ\n+LcQRSVBXwhR7gwa1MhnKeBctWuHyZp2IYpBgr4Qoty55pqaXHllDcLDC35FORxWXn+9o8x0F6IY\nJOgLIcodpRTz51/LwIGNCA+3UK1aCNHRNmrWDOWdd65kyJAmwW6iEBVS+UhTJYQQF4mIsPHll9dw\n4kQWmzefISLCxjXX1CwXhXOEqKgk6AshyrV69cK56ab6wW6GEJWCXDILIYQQVYQEfSGEEKKKkKAv\nhLgk2dlujh/PIjvbXfjOQoigkqAvhCiWP/7IZvjwdVSv/j0tWsynRo3ZjByZwOnTOcFumhDChEzk\nE0IU2dmzTjp3XsKRI5k4nRfy43/66UFWrEhh48Ybyk0NeyHEBXKnL4QosrfeSuT48ax8AR8gJ8fD\n4cOZvP/+/iC1TAjhjwR9IUSRvf/+AbKyfFe5y8x08+67EvSFKI8k6Ashiiw11el3+7lz/rcLIYJD\ngr4Qosguv7yG6Tal4MorzbcLIYJHgr4QosjGj7/MtAqe3W7lqacuK+MWCSECIUFfCFFkvXvX5V//\nakd4uIWQEKPaXWiohfBwC6+80oFu3WoHuYVCCF9kTY0Qolj+8Y/W3H57I957bz+JiWm0bh3F/fe3\nICZG6twLUV5J0BdCFFvLlpG88krHYDdDCBEg6d4XQgghqggJ+kIIIUQVIUFfCCGEqCIk6AshhBBV\nhAR9IYQQoooIStBXSn2llNrs/ZOklNpssl+SUmqrd7+Esm6nEEII/376KZk+fZZTo8b3NGw4h/Hj\nt3LyZHawmyVMBGXJntZ6aO5jpdQbwFk/u/fWWp8s/VYJIYQoismT9/D009vIyHADcOaMkzff3MNH\nHyWRkNCXRo3sQW6huFhQu/eVUgq4E/hvMNshhBCiaA4fzmD8+K3nA36u7GwPKSlZjBmzMUgtE/4E\ne0z/WuCE1nqvyXYNLFJKbVBKPVCG7RJCCOHHzJlJaO17m9sNCxYcl2qL5VCpde8rpZYA9X1selpr\nPdv7+C783+V311ofVUrVBRYrpXZprVeYnO8B4AGApk2bXkLLhRBCFObAgXSysz2m20NCFCkp2URH\nh5Rhq8q3Y8cymTkzid27U2nZMpIRI2Jo3NhRpm0otaCvte7rb7tSygYMBq70c4yj3r+TlVKzgC6A\nz6CvtZ4BzADo3LmzyfWnEEKIktC6dRTh4RaysnwHfpdLU69eeBm3qvz68MMDjB5tDHlkZXkIC7Pw\n8ss7mTSpI488Eldm7Qhm935fYJfW+rCvjUqpCKVUVO5j4EZgWxm2TwghhIn77ovBmJZVUEiIYvDg\nxkRGSnkXgPXrT/HII5vIyvKcv0jKzjYeP/XUVpYvTymztgQz6P+Zi7r2lVINlVLzvT/WA1YppX4D\n1gHztNY/lnEbhRBC+FCvXjjvvnslDocVS55I4nBYadrUwX/+c3nwGlfOvPrqLrKy3D63ZWS4mThx\nZ5m1JWiXYVrr+3w8dxTo7328H+hUxs0SQggRoHvvbUaHDtV47bXd/PLLSSIjbTzwQAuGD28ud/l5\nrF17Co/59Ac2bjxdZm2RfxUhhBDFFh9fnc8/vzrYzSjXCrsAiogou1Ac7CV7QgghRKU2cmRz7Har\nz21hYRZGjIgps7ZI0BdCCCFK0QMPtKB+/XBCQvJPfLTZFLVrh1WZ2ftCCCFEpRcVFcL69X0YMqQJ\n4eEWIiKshIVZuP32RiQk9KVmzdAya4uM6QshhBClrFatMD7//GrS068kJSWb2rXDgjLZUYK+aPvP\nXgAAB+xJREFUEEIIUUYiImxlOnHvYtK9L4QQQlQREvSFEEKIKkKCvhBCCFFFSNAXQgghqggJ+kII\nIUQVIUFfCCGEqCIk6AshhBBVhAR9IYQQooqQoC+EEEJUERL0hRBCiCpCgr4QQghRRUjQF0IIIaoI\nCfpCCCFEFaG01sFuQ4lTSqUAB4N0+trAySCduyqSz7vsyWdetuTzLnsV8TNvprWuU9hOlTLoB5NS\nKkFr3TnY7agq5PMue/KZly35vMteZf7MpXtfCCGEqCIk6AshhBBVhAT9kjcj2A2oYuTzLnvymZct\n+bzLXqX9zGVMXwghhKgi5E5fCCGEqCIk6JcwpdQEpdQRpdRm75/+wW5TZaWU6qeU2q2USlRKPRXs\n9lR2SqkkpdRW7//rhGC3pzJSSn2olEpWSm3L81xNpdRipdRe7981gtnGysbkM6+03+MS9EvHm1rr\neO+f+cFuTGWklLICbwE3A22Bu5RSbYPbqiqht/f/daVczlQOfAT0u+i5p4ClWus4YKn3Z1FyPqLg\nZw6V9Htcgr6oqLoAiVrr/VrrHOBLYGCQ2yTEJdFarwBOXfT0QOBj7+OPgUFl2qhKzuQzr7Qk6JeO\nMUqpLd5uI+mKKx2NgEN5fj7sfU6UHg0sUkptUEo9EOzGVCH1tNbHALx/1w1ye6qKSvk9LkG/GJRS\nS5RS23z8GQhMB1oC8cAx4I2gNrbyUj6ek6Uopau71voKjCGV0Uqp64LdICFKSaX9HrcFuwEVkda6\nbyD7KaXeA+aWcnOqqsNAkzw/NwaOBqktVYLW+qj372Sl1CyMIZYVwW1VlXBCKdVAa31MKdUASA52\ngyo7rfWJ3MeV7Xtc7vRLmPeXMtftwDazfcUlWQ/EKaWaK6VCgT8DPwS5TZWWUipCKRWV+xi4Efm/\nXVZ+AIZ5Hw8DZgexLVVCZf4elzv9kjdJKRWP0dWcBDwY3OZUTlprl1JqDLAQsAIfaq23B7lZlVk9\nYJZSCozvjS+01j8Gt0mVj1Lqv0AvoLZS6jDwHPAK8LVS6q/A78CQ4LWw8jH5zHtV1u9xycgnhBBC\nVBHSvS+EEEJUERL0hRBCiCpCgr4QQghRRUjQF0IIIaoICfpCCCFEFSFBX4gSppRy56nOtVkpFaOU\n6qyUmlqEY1RXSj1cAm15XikVUDIpH6+dr5SqXszXfqSUuqM4r61IlFK9lFLdgt0OIQIl6/SFKHmZ\nWuv4i55LAgqUo1VK2bTWLh/HqA48DLxd3EYopaxa62eL+3qtdaUpJ1qKegFpwC9BbocQAZE7fSHK\ngPeOcK738QSl1Ayl1CLgE6VUO6XUOm+vwBalVBxGQpaW3udeu+hYMUqpXUqpj737f6OUcni3JSml\nnlVKrQKG5L3j9m77l1Jqo1Jqq1LqMu/zkUqpmd7ntiil/pRn/9qFnO9ZpdR6b+2JGcqbvcfP5xDr\nrV3xm7cdLZXhNe8xtiqlhub5zJYrpb5WSu1RSr2ilLrb+1ltVUq19O73kVLqHaXUSu9+t3qfD8/z\nvjYppXp7n79PKfWdUupHZdSon5SnfTcqpX71tu1/SqlIs89OKRUDjALGef+dri3+/xAhyoYEfSFK\nnj1P1/4sk32uBAZqrf+CETimeHsHOmPUFXgK2Oet5f24j9e3BmZorTsC5zB6BXJlaa17aK2/9PG6\nk96iOdOBf3if+3/AWa11B+/xfirC+aZpra/SWrcH7MCtJu831+fAW1rrTkA3jGImgzEKm3QC+gKv\nqQtpUDsBjwIdgHuBVlrrLsD7wCN5jhsD9ARuAd5RSoUDowG01h2Au4CPvc/jPd9Q73GHKqWaKKVq\nA88Afb2fUQLwN7PPTmudBLzDhbrrKwt570IEnQR9IUpepjcIxGutbzfZ5wetdab38a/AP5VSTwLN\n8jzvzyGt9Wrv48+AHnm2feXndd95/96AESjBCLRv5e6gtT5dhPP1VkqtVUptBa4H2pmdWBm5+xtp\nrWd5z5Oltc7wHuu/Wmu3t9DJcuAq78vWa62Paa2zgX3AIu/zW/O0H+BrrbVHa70X2A9c5j3up95z\n7QIOAq28+y/VWp/VWmcBO4BmwDVAW2C1UmozRp77ZnnO4euzE6JCkTF9IYIjPfeB1voLpdRajLvU\nhUqpkRiBy5+L82fn/Tkdc9nev91c+P1XPo5X6Pm8d81vA5211oeUUhOA8AKvvMCs69/fkEB2nsee\nPD97yP/95evzCPS4uZ+FAhZrre8q5DV5PzshKhS50xciyJRSLYD9WuupGBXVOgKpQJSflzVVSnX1\nPr4LWHUJTVgEjMnTnhoBni83wJ/0jn37na2vtT4HHFZKDfKeJ8w7N2AFRhe7VSlVB7gOWFfE9zBE\nKWXxjvO3AHZ7j3u391ytgKbe582sAborpWK9r3F4X+dPYf9OQpQrEvSFCL6hwDZvl/JlwCda6z8w\nupm3XTyRz2snMEwptQWoiTHOXFwvAjW85/oN6B3I+bTWZ4D3MLrav8cod1yYe4Gx3uP8AtQHZgFb\ngN8w5hM8obU+XsT3sBtjWGABMMrbbf82YPUOPXwF3OcdJvBJa50C3Af819u+NRj/Hv7MAW6XiXyi\nopAqe0JUMN5Z43O9k+cq3fmKSin1EUb7vgl2W4Qo7+ROXwghhKgi5E5fCCGEqCLkTl8IIYSoIiTo\nCyGEEFWEBH0hhBCiipCgL4QQQlQREvSFEEKIKkKCvhBCCFFF/H9A2GKPrNO3kgAAAABJRU5ErkJg\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1c19b90a20>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 0.21890244 0.10372458 0.22753729 0.22099499 0.14258969 0.23928535\n",
" 0.25840048 0.26085376 0.13816696 0.06436335 0.20597878 0.01742803\n",
" 0.21132592 0.20286964 0.01453145 0.17039345 0.15358979 0.1834174\n",
" 0.04249842 0.10256832 0.22799663 0.10446933 0.23663968 0.22487053\n",
" 0.12795256 0.21009588 0.22876753 0.25088597 0.12290456 0.13178394]\n",
" [-0.23385713 -0.05970609 -0.21518136 -0.23107671 0.18611302 0.15189161\n",
" 0.06016536 -0.0347675 0.19034877 0.36657547 -0.10555215 0.08997968\n",
" -0.08945723 -0.15229263 0.20443045 0.2327159 0.19720728 0.13032156\n",
" 0.183848 0.28009203 -0.21986638 -0.0454673 -0.19987843 -0.21935186\n",
" 0.17230435 0.14359317 0.09796411 -0.00825724 0.14188335 0.27533947]]\n"
]
},
{
"data": {
"image/png": 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m8JyZsVX3gPS9qgVnGptOSHovWf8XSb9lg4jYpvi9dvDf4Gt94NSCMHubpKfS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\nJXkEAABgLskjAAAAc/0NYk01He1PACEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1c19b9cd68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print (\"------Scaling-------\")\n",
"import matplotlib.pyplot as plt \n",
"from sklearn.datasets import load_breast_cancer\n",
"from sklearn.preprocessing import StandardScaler\n",
"cancer = load_breast_cancer()\n",
"scaler = StandardScaler()\n",
"scaler.fit(cancer.data)\n",
"X_scaled = scaler.transform(cancer.data)\n",
"\n",
"from sklearn.decomposition import PCA\n",
"# keep the first two principal components of the data\n",
"pca = PCA(n_components=2)\n",
"# fit PCA model to beast cancer data\n",
"pca.fit(X_scaled)\n",
"# transform data onto the first two principal components\n",
"X_pca = pca.transform(X_scaled)\n",
"print(\"Original shape: %s\" % str(X_scaled.shape))\n",
"print(\"Reduced shape: %s\" % str(X_pca.shape))\n",
"\n",
"# plot fist vs second principal component, color by class\n",
"plt.figure(figsize=(8, 8))\n",
"plt.scatter(X_pca[:, 0], X_pca[:, 1], c=cancer.target, cmap=mglearn.tools.cm, s=60)\n",
"plt.gca().set_aspect(\"equal\")\n",
"plt.xlabel(\"First principal component\")\n",
"plt.ylabel(\"Second principal component\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"pca.components_.shape\n",
"print(pca.components_)\n",
"\n",
"plt.matshow(pca.components_, cmap='viridis')\n",
"plt.yticks([0, 1], [\"first component\", \"second component\"])\n",
"plt.colorbar()\n",
"plt.xticks(range(len(cancer.feature_names)),\n",
" cancer.feature_names, rotation=60, ha='left');\n",
"plt.suptitle(\"pca_components_cancer\")\n",
"plt.show()"
]
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"text": [
"Breast Cancer Wisconsin (Diagnostic) Database\n",
"=============================================\n",
"\n",
"Notes\n",
"-----\n",
"Data Set Characteristics:\n",
" :Number of Instances: 569\n",
"\n",
" :Number of Attributes: 30 numeric, predictive attributes and the class\n",
"\n",
" :Attribute Information:\n",
" - radius (mean of distances from center to points on the perimeter)\n",
" - texture (standard deviation of gray-scale values)\n",
" - perimeter\n",
" - area\n",
" - smoothness (local variation in radius lengths)\n",
" - compactness (perimeter^2 / area - 1.0)\n",
" - concavity (severity of concave portions of the contour)\n",
" - concave points (number of concave portions of the contour)\n",
" - symmetry \n",
" - fractal dimension (\"coastline approximation\" - 1)\n",
"\n",
" The mean, standard error, and \"worst\" or largest (mean of the three\n",
" largest values) of these features were computed for each image,\n",
" resulting in 30 features. For instance, field 3 is Mean Radius, field\n",
" 13 is Radius SE, field 23 is Worst Radius.\n",
"\n",
" - class:\n",
" - WDBC-Malignant\n",
" - WDBC-Benign\n",
"\n",
" :Summary Statistics:\n",
"\n",
" ===================================== ====== ======\n",
" Min Max\n",
" ===================================== ====== ======\n",
" radius (mean): 6.981 28.11\n",
" texture (mean): 9.71 39.28\n",
" perimeter (mean): 43.79 188.5\n",
" area (mean): 143.5 2501.0\n",
" smoothness (mean): 0.053 0.163\n",
" compactness (mean): 0.019 0.345\n",
" concavity (mean): 0.0 0.427\n",
" concave points (mean): 0.0 0.201\n",
" symmetry (mean): 0.106 0.304\n",
" fractal dimension (mean): 0.05 0.097\n",
" radius (standard error): 0.112 2.873\n",
" texture (standard error): 0.36 4.885\n",
" perimeter (standard error): 0.757 21.98\n",
" area (standard error): 6.802 542.2\n",
" smoothness (standard error): 0.002 0.031\n",
" compactness (standard error): 0.002 0.135\n",
" concavity (standard error): 0.0 0.396\n",
" concave points (standard error): 0.0 0.053\n",
" symmetry (standard error): 0.008 0.079\n",
" fractal dimension (standard error): 0.001 0.03\n",
" radius (worst): 7.93 36.04\n",
" texture (worst): 12.02 49.54\n",
" perimeter (worst): 50.41 251.2\n",
" area (worst): 185.2 4254.0\n",
" smoothness (worst): 0.071 0.223\n",
" compactness (worst): 0.027 1.058\n",
" concavity (worst): 0.0 1.252\n",
" concave points (worst): 0.0 0.291\n",
" symmetry (worst): 0.156 0.664\n",
" fractal dimension (worst): 0.055 0.208\n",
" ===================================== ====== ======\n",
"\n",
" :Missing Attribute Values: None\n",
"\n",
" :Class Distribution: 212 - Malignant, 357 - Benign\n",
"\n",
" :Creator: Dr. William H. Wolberg, W. Nick Street, Olvi L. Mangasarian\n",
"\n",
" :Donor: Nick Street\n",
"\n",
" :Date: November, 1995\n",
"\n",
"This is a copy of UCI ML Breast Cancer Wisconsin (Diagnostic) datasets.\n",
"https://goo.gl/U2Uwz2\n",
"\n",
"Features are computed from a digitized image of a fine needle\n",
"aspirate (FNA) of a breast mass. They describe\n",
"characteristics of the cell nuclei present in the image.\n",
"\n",
"Separating plane described above was obtained using\n",
"Multisurface Method-Tree (MSM-T) [K. P. Bennett, \"Decision Tree\n",
"Construction Via Linear Programming.\" Proceedings of the 4th\n",
"Midwest Artificial Intelligence and Cognitive Science Society,\n",
"pp. 97-101, 1992], a classification method which uses linear\n",
"programming to construct a decision tree. Relevant features\n",
"were selected using an exhaustive search in the space of 1-4\n",
"features and 1-3 separating planes.\n",
"\n",
"The actual linear program used to obtain the separating plane\n",
"in the 3-dimensional space is that described in:\n",
"[K. P. Bennett and O. L. Mangasarian: \"Robust Linear\n",
"Programming Discrimination of Two Linearly Inseparable Sets\",\n",
"Optimization Methods and Software 1, 1992, 23-34].\n",
"\n",
"This database is also available through the UW CS ftp server:\n",
"\n",
"ftp ftp.cs.wisc.edu\n",
"cd math-prog/cpo-dataset/machine-learn/WDBC/\n",
"\n",
"References\n",
"----------\n",
" - W.N. Street, W.H. Wolberg and O.L. Mangasarian. Nuclear feature extraction \n",
" for breast tumor diagnosis. IS&T/SPIE 1993 International Symposium on \n",
" Electronic Imaging: Science and Technology, volume 1905, pages 861-870,\n",
" San Jose, CA, 1993.\n",
" - O.L. Mangasarian, W.N. Street and W.H. Wolberg. Breast cancer diagnosis and \n",
" prognosis via linear programming. Operations Research, 43(4), pages 570-577, \n",
" July-August 1995.\n",
" - W.H. Wolberg, W.N. Street, and O.L. Mangasarian. Machine learning techniques\n",
" to diagnose breast cancer from fine-needle aspirates. Cancer Letters 77 (1994) \n",
" 163-171.\n",
"\n"
]
}
],
"source": [
"from sklearn.datasets import load_breast_cancer\n",
"cancer=load_breast_cancer()\n",
"print (cancer.DESCR)"
]
},
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