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@AFirooz
Last active May 30, 2025 16:29
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Misc Learn
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import multiprocessing as mp
import time
from tqdm import tqdm
""" See Obsidian for more details.
A more complicated example:
https://github.com/mCodingLLC/VideosSampleCode/blob/master/videos/104_multiprocessing_pool/multiprocessing_pool.py
"""
def process_task(func_args):
data, other = func_args
other = other if other else 0
# Replace this with the actual computation for each loop iteration
t = 25-data if data < 25 else data - 25
time.sleep(0.25*t)
# print(f"Processed {data=}")
return data*other
if __name__ == "__main__":
print("Number of cpu : ", mp.cpu_count())
# List of inputs for the loop
inputs = list(range(50))
other = list(range(0, 100, 2))
func_args = [(x, y) for x, y in zip(inputs, other)]
results = []
start = time.time()
# Create a pool of workers (defaults to all available cores)
with mp.Pool(processes=30) as pool:
# Map the function to the inputs, distributing tasks across CPUs
# results = pool.map(process_task, func_args)
# results = pool.map_async(process_task, func_args).get()
# results = list(pool.imap(process_task, func_args)) # Convert iterator to list. Much slower than map
# results = list(pool.imap_unordered(process_task, func_args))
# tqdm need to be passed an iterable, not a generator
# Source: https://stackoverflow.com/a/41921948/12315585
with tqdm(total=len(inputs)) as pbar:
for result in pool.imap_unordered(process_task, func_args):
pbar.update()
pbar.refresh()
# Do something with the result
results.append(result)
print('\ntime taken: ', time.time() - start, '\n')
if isinstance(results, list):
print(results)
else:
for r in results:
print(r)
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": [
"Sources:\n",
"- https://machinelearningmastery.com/smote-oversampling-for-imbalanced-classification/"
],
"id": "4444ac7f6344bc9a"
},
{
"cell_type": "code",
"id": "2bad5041066ecbe1",
"metadata": {
"collapsed": true,
"ExecuteTime": {
"end_time": "2024-06-03T19:56:19.531357Z",
"start_time": "2024-06-03T19:56:19.522771Z"
}
},
"source": [
"from collections import Counter\n",
"from sklearn.datasets import make_classification\n",
"\n",
"from imblearn.over_sampling import SMOTE, BorderlineSMOTE, SVMSMOTE, ADASYN\n",
"from imblearn.under_sampling import RandomUnderSampler\n",
"from imblearn.pipeline import Pipeline\n",
"\n",
"from matplotlib import pyplot\n",
"from numpy import where\n",
"\n",
"n = 10_000\n",
"r = 0.95\n",
"seed = 12"
],
"outputs": [],
"execution_count": 30
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2024-06-03T20:02:53.012618Z",
"start_time": "2024-06-03T20:02:52.808260Z"
}
},
"cell_type": "code",
"source": [
"# define dataset\n",
"X, y = make_classification(n_samples=n, n_features=2, n_redundant=0,\n",
" n_clusters_per_class=2, weights=[r], flip_y=0,\n",
" random_state=seed)\n",
"\n",
"# summarize class distribution\n",
"counter = Counter(y)\n",
"print(counter)\n",
"\n",
"# scatter plot of examples by class label\n",
"for label, _ in counter.items():\n",
" row_ix = where(y == label)[0]\n",
" pyplot.scatter(X[row_ix, 0], X[row_ix, 1], label=str(label))\n",
"\n",
"pyplot.legend()\n",
"pyplot.show()"
],
"id": "ec4f3b43e21a33ff",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Counter({0: 9500, 1: 500})\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 37
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Simple over balancing",
"id": "9c24384a6eb4510d"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2024-06-03T19:56:19.973473Z",
"start_time": "2024-06-03T19:56:19.744462Z"
}
},
"cell_type": "code",
"source": [
"# X, y = make_classification(n_samples=n, n_features=2, n_redundant=0,\n",
"# n_clusters_per_class=1, weights=[r], flip_y=0,\n",
"# random_state=seed)\n",
"\n",
"# transform the dataset\n",
"oversample = SMOTE()\n",
"X, y = oversample.fit_resample(X, y)\n",
"\n",
"# summarize the new class distribution\n",
"counter = Counter(y)\n",
"print(counter)\n",
"\n",
"# scatter plot of examples by class label\n",
"for label, _ in counter.items():\n",
" row_ix = where(y == label)[0]\n",
" pyplot.scatter(X[row_ix, 0], X[row_ix, 1], label=str(label))\n",
"pyplot.legend()\n",
"pyplot.show()"
],
"id": "initial_id",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Counter({0: 9500, 1: 9500})\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 32
},
{
"metadata": {},
"cell_type": "markdown",
"source": [
"# Borderline SMOTE\n",
"Borderline SMOTE involves selecting those instances of the minority class that are misclassified, such as with a k-nearest neighbor \n",
"classification model.\n",
"\n",
"We can then oversample just those challenging instances, providing more resolution only where it may be required."
],
"id": "ec46c6a97ee0b273"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2024-06-03T20:02:56.599155Z",
"start_time": "2024-06-03T20:02:56.360697Z"
}
},
"cell_type": "code",
"source": [
"# X, y = make_classification(n_samples=n, n_features=2, n_redundant=0,\n",
"# n_clusters_per_class=1, weights=[r], flip_y=0,\n",
"# random_state=seed)\n",
"\n",
"# transform the dataset\n",
"oversample = BorderlineSMOTE()\n",
"X, y = oversample.fit_resample(X, y)\n",
"\n",
"# summarize the new class distribution\n",
"counter = Counter(y)\n",
"print(counter)\n",
"\n",
"# scatter plot of examples by class label\n",
"for label, _ in counter.items():\n",
" row_ix = where(y == label)[0]\n",
" pyplot.scatter(X[row_ix, 0], X[row_ix, 1], label=str(label))\n",
"pyplot.legend()\n",
"pyplot.show()"
],
"id": "94181fe3a7d4a34",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Counter({0: 9500, 1: 9500})\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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WAx/PNKdoqoaVqpZW5rb0Hy0YyPW/6ptDh+4khkYQLoUMEUIa2zvbMkByR+NpJV7tvKsXucVz1FyhtNnOaiKrVC2tzG3RHQZsyWmpOwwsHQ/b9FcIgjAMGSKENLbKp7dUSDTofKoNJR7k3ZXEy/47Xlg8T7nKiZkpE+nB6TnYugRYXQZoS7hq1APARzNlxqaEVoJwmrg0RIIcj5LyKhyobUC39GQU5mXBx1In1zAMVSlIkJIl/BsafomskNCFwaoNr+FVJVE5D07BVcC6x2FaKVePASqGq1I6RU+kjSAI3cSdIVJcWoE5K8pQUd3Q+lpOZjJmjclHUUGOwp5xhmJzO42kdgGmfSccK1TE6q0/GpxUHMm7R1Ph1CqUPDjrHgeG3QaULjWX26LFQE7JAq5a1Jb0unWptmPHS7iPIFxGXBkixaUVmLRkc7vbV2V1AyYt2YyFNwwkYyQUuVbvWjl2CNizMdx7cWCb8W688STvbqd4mZpAnZHOvlo8OKVvAVP+J1wTRnNbVLs/88Bp14YfMxr6KwRBGCZuDJEgx2POijKl2yTmrCjDBfnZ8LEMhW9EQqsnaiuA4pkthoRGD8n3HwDL/mxeZ2T4ncA5f4t9T4iIXYunWuWI0coSrR6cPRvlPThaDSA5A5lhAJ4HNjwp/Ijz7j/aHpE2L2DEqHQ7sfie4py4MURKyqvCwjGR8AAqqhtQUl6F6vomCt+EElo9kZDc8jSqkQ1PWjABBtj8omCIxAt2KJyqde4ddltLHoeByhKzHhy9BlCogfz9B8J1xnPy81b0oiA2w32xWK7sxvdEhpFp4kbQ7ECtvBESyidllZi0ZHM7o0UM3xSXVtgxPe8gPo2mazHIrPIgxaE6ptXiZVoE6tYvUPg7lIXkzHhwtCr4RsL6hJt+2Tsyg4XMu/9oa0Xa3I7Rc+pm3PieypYD8wuAFy8B3rpJ+Hd+gTfPr4PEjSHSLT1Z03bLtuxVuhVjzooyBDmre6o4hFGVyf6jgYHjAJ/aObX4PMVbMqGVCqda9DciPQrhf1Q2Bo3Kz6saSFA2gPQk9eaPBaaWChLyclLyVmNWydXI/mbPqRtx43tyo2HkUeImNFOYl4WczGRUVjfILo9ZaYmoqmuSPUZo+GZo3862zDNqGHVxli0HVtxuovzWBB26x58b1CqFU6uMOLnjqCaRQtqDY7Y6SG9IyCqRNi2YDSPYna/jpoorNdz2nrxaXu9S4sYj4mMZzBqTD0D+ma0hoM2a1hrmcS1GLXlxPyuNkNOuB654VlAJlaXlafrY4fh0g4qLp1IfFjWsqghROo4RD47Z3BK3VsSYfVo2s7+dFVdO4bb3pMcwIlSJG0MEAIoKcrDwhoHITPVL/v1YkzZDRGuYx5VoyRX4cHp7F6fifiYo/wwouBK4ZD4EE1EmH6LgSkFNlNygxlANnUBoOme2s6/e8IdZQyIaHYn1YjaMYHZ/txpnZnDbe3KbYeRx4soQAYAL8rORnGDsbTMQqmcK87KsnVQ00ZIrULsPWPOw/v2MEBq/l3uavmqxIITlpviw11BNfmWAoZMV/g7tybF6PDhmDQm9Sb3R6L5r9mnZ7P5uNM7M4rb35DbDyOPEnSFSUl6FyppG3fuJl/+sMfne1hPRaqF/9kC4l8FOy148ttzTdFpncoNagVro5MJ7rUuO1brgW1EdpDUkFK0KB7NPy2b3t7riyg247T25zTDyOHGTrCqiNb+jY4ofR+oDrb9npSXi0gG5yExJRJDjvWuM6LHQQ5Ot7LTsD24XFisxCTMy2YzcoNahlvxqRXKsEU0QKYEyPUq6avNW01CxsoTX7NOyFU/bVpxTt+Gm92Q0OZuQhOF53rW1qDU1NcjMzER1dTUyMjIsOeb6nYdx3bMbVLe76+L+qK4PYOfBOmz46TB+PdZmlHha3IwLCk+BWsMs494TDIPW/Uw2wVMicrESK2TKPwfWPKR9rkrEW9VNtJFb8MWbs9KCzwWBXWsFo5QB0Pts48m5kcdVvOZbxOGmbrXmWlD9rqiMZ3b/yGPF2vXupvckaXQf511jz0L0rN9xZ4gEOR5nz1utWMbLMoCSVIjoC/Fsb5qy5cCbf9C27ZXPt7Wab11kAMkbZEIykJACNPza9lpKVkuVjZbGeSGLFaCjx43GG7MbVRljCbMLvtTnk54DDJoAdO5rfNEp/0IIw6ihxZDViux3RYNBZsX+RPRwk2HkIvSs33GXI6KljFdNr8zz4mb5Y4XeLVoIdf/KxeJFmhuAxBTg3BnAOX8Hfvt34OrFwFUvyu8TRsu5XHG7YChpTo7l1d2gJD5kP2aSLOU+n9oKIV/JTE6H1pDd9x/oO64SZsXorBSzI+zFivL6OCfuPCIixaUV7frJqHlCpHht4hBvipuZeXrlgsBbfwK2va1trIxcYNRcQSvkp8+BLzSEWfRyzcvKLv9ouuZjBb1PeluXCgaDGqFeNnEczeFCAx4BrR4RQPk6MoLZp2V62iY8ip71O+6SVUWKCnJwQX62UEVTXY/NP/+Klzf8rPs4nhU3C0u2AnQlW323QrsRAgheh/+OFxaPbv0NTlgJFRVDt6ky6sWJxchIGMtokqWu0nADqpWqDQRDsFoN06ySazSVYAnCIeIuNBOKj2VQXd+Ef330vSEjBPC4uJkR9y8XBN7/q86BQrQ+UrsYmqrq8ZXKd71cdeNEUy2jYSyjJY26z7vOcu3W0k8N7s5YKAOXKp2Ohn4KQRgkbj0igBCembRks6EaEAZAttfFzQD95Zq71wHHDhkYqGXx2LVGCNEcO2xq2pJ4TQZcDbWS06sWCxorVnpKtKh6vncHcGIRkJAY/mejJY1Gz7seAyZ/LDDkL8CGJ40d1yshEilPVkonAEx4awZK0iZcRNwaIkGOx5wVZYaNECAGxM1E9Lh/zXoNvvi3uf2VUJMBV3LNp3QSus9yQXcsMFoMgrcmhHfMtWJx0RImOXYI+M/JwCWPtB/LiNaDntBJKHoNmJMu1maIRB7XK9VWcoZr/a/tt7VDP4UgDBK3oZmS8qqwRFU9ZGcme7d01yxu8xoAMCcD3kL9r8BLY+0Jexhxi2sxCEKNEKBlcfkDUDzTuPtdq6F57JD8WHr7zWj5fMIwqFppJHTklWor3b2gqDUC4R7i1hDRm2SalMDg4oLueOWmwVg7fYQuIyTI8Vi/8zDe3bIX63ce9mbJr0jrzdwtmJQBj8TqBcZojochz1PLdbXhSeO5JHoNTbmx9JY0av18zKhWGulLY6b5XDQx1AuKWiMQ7iBuy3e1KqxG0jHFjwln5aFPl1R0SxdyRJTCM1Jlwq5XZo2Mh/ccDOzZ2Pb7scPAf8c5PUsBvSqGondi6XhplzUAy8p5zaiM6ik5lcVAqathBV2LhLZCr73DO4HNi61XrdSqhvnT54KXTA0rhdCMorV0WorIcmqCsADXlO/OnTsXb7/9NrZv346UlBQMGzYM8+bNw0knnWTnsJoozMtCTmayosKqFEfqA3jkkx9af8/OSMJ1hb3Qp0taO8NELhm2sroBk5Zsdmd4R+omzbDtcxF+c4W+El6rSekEXP0i0OdsfcYC6xN+ZI0QwJJyXtWnaZUSVKN5E3rHiaRdWbeNY8mNH3rOz/mb9UmiWhK0y5YDK27Tdjw3VFuZCZm6MtxKxBO2hmY+//xz3HrrrdiwYQNWrlyJQCCACy+8EHV1dXYOqwktCqtaqKxpxCOf/IjbX9+C657dgLPnrUZxaYViMqxrlVnl4uFSuQiOGSEtLevHPAYcf66xRSka5bxmW7nrzptQGWfXWu27iGGSVL1CfSZd/VK5NHapVkYeF2gb+7N5Qv5L/RFtx7KlJF0nqvkvUlCHWMId2OoRKS4uDvt98eLF6NatGzZt2oRzzjnHzqE1UVSQg4U3DGwXOjGD6O2YOrKf4jF5ABXVDSgpr3KHMquuZDcHjScrOm1Go5zXCmNHrgIl0kOlhf/eCIx5XPt5yx8rlOj+52T95do/fa7fg6FWmWJn+azU2HpgXFA5p1g6LQV1iCXcQ1TLd6urqwEAWVnS2huNjY1obGxs/b2mpsb2OYUqrH654xAWfLrD1PFaHNRY9OUuTdu7RpnVULKbHrTcHFVIzgSmbGmvX6EX1bBHS46ImSdFq4wdMYxQ/gWwe60wXdYHfC56SzSe0/oj+ss1ExKFEl2lRodShEr4aylzVdNLGXYbULrUnvJZ2TweHdQdNDcHLWgxxOQM15SW+207HRHqEEu4g6glq3Ich7Fjx+LIkSNYu1baTTx79mzMmTOn3et2JKtKIXbmtco7ogXX9Koxk+ymxvEjgIPfCQ3MzGJVYqDd3U2tbOWuVaRKFYNJuKY8BirnU1efGYnjmhF1Mzx2BHYnq+rVMZEyWgBvCLJ5Da8I3TmAnmTVqBkikyZNwocffoi1a9eiR48ekttIeUR69uwZNUMEEBJMb1my2ZJjdUzxo7o+ILcMITszGWunj3CHKJolVRpRwMoMf63VE5FovflYYewoVt7wQhflhiPahLpEjCyc4nv+/gN9YwFQNIDMXndSidSRC7Tc52X6mo9Cs0QzlVdyuHHxdOOc1PCK0J1DuKZqRmTy5Ml47733sGbNGlkjBACSkpKQlJQUjSnJUlSQgyd/fzpuffUb05kQZ5/QBe9vrZATu3aXMqslVRpRwMoMf73y9oC+m48RldFQtFTebH5RWAh7DQVWTFGpBmrBSBKumNyZ91uhnHvpBB15KgpVSGYrTiRF3UJCUEqfV7DJxMBRyLEwW3klhRsXTzfOSQ21cCIp1urC1qoZnucxefJkLFu2DKtXr0ZeXp6dw1nGxafm4onfDzR9nPe2VuD8k7uiU1p4ToMrlVktq9KwC5sy/PVUZRhR2dSrMhqKnsqb/LFCmEILcsacVgXY1M76k2UBaaPD8tLREKGx0neUP6/DO40PE9kY0o6mcmYrryJxo0qsG+ekhpeE7jyCrR6RW2+9Fa+++ireffddpKeno7KyEgCQmZmJlJQUO4c2zcWn5uApdiBmL9+GyppG9R1k+OS78ES2rDQ/7rqoPzJTEvHulr2aRNGihtwTvOPIqF5G05Vr5unUaCt3vZU3eb81noSr56nUqBdDyuiwxRPXskB/ME3mmC2f16bFxsYe9QAw+Ja2z9muJ3ory8zt8K6YxY1z0oIeA9FpoTuPYKshsnDhQgDA8OHDw15ftGgRxo8fb+fQlhBaUVNZ04B739uGqrqAqWNW1QUw+fUtYa85prQqtZiL4YqNTwEf3Rnd+Yj5Dt++GV4ymtoZGP3vtpu6E65cJ24+eitvjHa/1etmNuLFSMmSNoBU52zCOFHs8MwDtfuEa+6zufrGqv4l3Aixy0VvZZm5GxdPN85JC9HQIYozbA/NSP14wQgR8bEMhvbtjMtPPw4PXH6KLUELUXukuNSCqhKtKPVAYX3CE196FA2jYVOA4dOBornARQ8BSSHJTccOAR/NFOYm68rdZ77hmxJO3HyMNGmT69kSGUoQMeJmNiKeVV8FbH9f+m9Kcx42Ba0idnbQua/GHjchbHhSuA6Nuui1hnGMfP5yuHHxdOOctBANHaI4I6o6Il6nqCAHfz4nD0+vKbf0uKL2yJwVZbggP9v+MI3Wp7hBE4DPHrB3LiKlbwEjZwOfzAbWPdb+76KhkZIFxSfXDU8KPxm5wIVztZV2agnzROPmIzUPIx4OPUm4Wp9Ky78A+g4XXtItntUyXyU3u9Kce5wJvHeHfmE1LXToLjxtn1gEbHxa8I4E1JSfW95LUob+J3o93jzV88xrT5Z14+LpxjlpIRo6RHEGGSI6CHI8lv/PHq9F1JRW9cRlG47YN49IavYCn/9L2ggJRatuRs0+YGlEYz6pG77WhcHum4/SPIxU3mjNS9H6tLl0vCCrL46nO59Ig5tdbs75Y4HmBuDtidrmqomQz0u3Tor4XjTK5ovn2EgYRzzPUhVRolCZFty4eGqdU8/BwM7P2gT98n6rv8eUlRgNgRKy2BqaiTVKyqtsFzuzXWlV6xPw8skG9CJMsn6BvcePzMTXk7Gvt4W8HtTmARivvFFD69Nm/a/tz0loRVDhn7Udx6ib3dIwYcjntf196XOvBa3pKx26m6+0kOp7I/WZyGHn9WsULXMquBL494nAy5cCax4SVHtfGgs82FuoinIKvSFQQhEyRHQQDTn2bunJyhuYLRPUuhBseVXfca2g6ajNA4Tc8Jub9C8MZm8+Up+d1gUKsKf5m958j8hzInoxTtZ441UyfJSu7dZ5WoD4efUfraO/kgRilZKWHA6jpbhWloq6cfFUzA+6TfCQSmnjNNUKHs//TnCuTNZMaT4RBoVmdKBqJJhAVFotzFNwt1pRLeK2eCsAgAFSOmoT4zJNyw3/q2eNZewbEUED5D+7gePNVw6YKWUOczOroTAXs65/tWub9QEFV6mH7pQo/LNgMIUqqxqVrc/IFcIDWl30RhMzra4sMXr92onUnHoOBh49VX3fbW8DP34MjH0CKLjM9qm2w2hpPhEGGSI6KMzLQk5mMiqrGyzXHuWhorRqVZmgKxVUeeDEi4H/vaK+aWJ6iOfExPx/3aVtO6kFRLz5iAbAtmUapd4lPjutycBS8+CCwJqHgY1Phrvu9RqnrXkIt0mHALTMRU/cPNJwOnYY+O94KF7b/UcLje/McPLY8EXDUJgo4r1oVc81mphpR2WJGxfPyDmVf6G9N1XTUcE78u0oYOhtzhtWbsMD8vlkiOjAxzKYNSYfk5ZstqKXbBgdkny4ID9b+o9WCv8YqniIAv97RVt7+7ELAJY1L7rWqY+27eQWEK3eKS2udSPzKFsOrLhdOnnXiIZF/lihu/FLGraXOydaFmWp88awUL22VStUVJDSMTGirCqVJKzFy6DlAUBqjl6tLDGLESPxh4+En/Qc4KJ/CZ/L0Spg8UWC1ygxHSh6CMi/yHULsW14RD4/ak3vjKCnaU40KS6tMK24KoVsJ16tzbn0NDMz1VHVIYZNAS68V/h/uyZsOspIM3KBKVuAx04z1h1XTyMyKxurAToazxloyGZVx2C5JzDZ86aBc/4uJCsaJSUL+PsOdSEytTkMnynt1dEannvzD8rbXPNye0PWqi7OXsKKJpxJGUBjjfTfrlwEnHKFueO7HTsaJupAz/pNyaoGKCrIwUNXnWb5cT8srcD6nYcR5CIuHDvcs2Ki1ago6YSYIbULcPWLbUYI0ObKLZor3Lw1CVKFuNUTEo1VEehNHtTqXlab7/b32wToNFUz6exDAlhXWSHVv0fxvGnA7ONSfVXbuTA6l7xz2wwqOTFAJfqPVim5ZcKvHdHYyb8MbWpDEdsDsVkq2nuY+UopOSMEAN6aALxytbnjuxmP9cMhQ8QgG8s16lno4KX1u3Hdsxtw9rzV4SqrdrlnRQVVvSqZ0ebifwO/uUz+71LZ61e/2L7KIrI6wEgVgd7qh7qDCttGwER8HcV5AMZLTNWM08hKlf6j7amsUD1vKrRWqJhAPBe65xJS/WKmSdvudSo6OCHXTqixIxqeTMR3NJZLRVmfEF6xkx8/Bh7RkBDrRaxumGgzlCNiEDsjWhXVDbhlyWZcNbAHHrjiFCTaKUakpdcH6wc4cz12TPHRTCB/jPJTn1QC3slj1N3neqsI9Hqn0rpq2x4Q8mNGPSDMQZwHICxIRl0CSsapUvx4aqk1CW7iU/13RruoRlaoqIQ2lBDPha78gxCvA2A8V4sLAj99rm3I7z8ANixsP46YPzXkL8BJF7sy6dBS8scK3s53bgGa1NRuDVK9G3igJzBjV2ydS4/J55NHxCAdU/22j7F08y/of8+HmFv8vb1iRIqegZeFm56T1O4zZrlLhQjMbAfo907pdS936B4+DzOeBKU+JGpP9tvfN69bEvpUX/KM/v2lKlSGG2zEmNql7Vzo8RymdBTyQkRj1chTpngevtCY4/LtG5A3PBmg7N3YN0JE8scCM/YA584AEmyST2iqAf4vy1mBNKvxWJIzGSIG6WKjpkgoHA88vaYcc3edYK8YkVR4Y8oWIKUT0OUEc8e2ApdY7robkekV4gq9MXBBoFzjU7QUcsZpNOLHcoaOEnKhqdBr+5y/GQvRXPzvtnOhScSt5W/1vwol1vMLBE+FFkKvVV3ngREMJrWuwS5yqUcF1gecNxO4cx/wGxsTTJeOAz78h33HjyZWNkyMAhSaMUh2RnQMEZFnvijH2X2HYtiUrfDtWW9PTXhoeKNseUtViUuqao7uFxZGp58C9faZCNteKbwSEV4zU9WU2AG4bKG8cWpn+3Ux52TFFOgOJ125CEjtJOzPAOh9dvvx2wmwaRhj2JRwsStNJewSmiZaWx6IxqSupNiWa+fUa7SN4xbD3AzNTUDJ08DPG4DENODU64Djz1H2XF69CMi/FHh/morBZpCNTwPb3gWmlTl/rzGDx/rhUPmuQYIcj7Pnrba990wkOZnJmDUmH0UFVvbeiMBMmaWduKn+XTK/4jj5RnRKuh+R5XSmzz+j7CXbulSo9lDjyueF0IyIWsmq2ZLwYVME0TItmgdyeiShOjSpXYDRConOWo4RBiMkjCr9PbSUVk8JqnjtpHSyvlTfjXx8D7DucbS7xhkWyOgphGFYFuheAAy4vr2BIor52dYdnBWMHqUkeS+g9z5lIXrWbzJETFBcWoFJSzYDiP6S/dQNA+0xRlp1C1ziCQkjOvXvmtGrJSGrhBpyY7Dk/KtoSxjRpVETRrLNeFX4zCPPf8/BwJ6N+ryFocc4uh/4SGsOisxTZug8i2dq825E6pN4QTfEjFrnx/cYk+pP7gRknyKopyYkAscOCaJ0mxaZLJNXIFS7yKs4pKxKhkgUKS6twJwVZVH3jHRM9WPT3RfIS8IbxQohIbtJzwUuf0oojXWpZLEiSjcGK8+/3FOz3sVOTRjpqsXAxzNtNF6jtPhq9RQN+QtQ9o7yU6YW8TKRyM+p9XwDqsaOE5hR62xuAu7rBksN1sQOQGZvICkVOHoAOLLbumMD8SF+ZgN61m/KETFJUUEOLsjPRkl5Fb7ccRALPjUgG22AI8cCmL70W8y76lRrjREvxJ5r94VLkbspZKMFpV4fVp5/uWNpiR9f+IBgLFXvBT78O+TzKBjgg78KT6e2YSJnRQ9aKwhOuhi48D55Y7I1N0QDUgmDWvvXOIHZnldfPdt+X7M0HQUObrP2mKG8NQHYvw0Ycae3Hng8BBkiFuBjGQzt2xmDenfCk5/tRKQwql0s3fwL1u44hNljLcwZcUk5ly6M9FaRw+kGUVaef6VjKS12BVfq8HDwNhshIdhtJOvR61EyJvWUXMslDEajS66R0KLZnldam026jbUPCz9n/40MEhsgQ8RCNu3+NWpGiEhlTQMmLdmMhVbljLTejN2YIyKHzsZ/crihQZTWxZDngNpK5W3USvOkFju5Trhu4PBO9cXTjCFpVaWBVoNpyF+Urys7u+SWLRdKVUNzKxLTgTGPtYUhmuqBlXcDVT8BWccD/YrMV1tpbTbpVtY+DHz5H+CqGEhkdRGUI2Ih727Zi9tf3xL1cRkA2ZnJWDt9hPkwTdlyofSy/ldL5hZ1jFYTONwgSnougGyOAGB9HoGrE5Uh9GnxJysnzEYurqGdWLVittLAjiaVZog0zuoOC5oZcogChlp1UyKJrLYKxY4cEac448/AJSYaMcY4lCPiELsO2SRDrAIPQRa+pLxKunuvVtxatqsHI+57K1zOVqI1R8DqPAJDKq4MkNrZfHgmIQVorlfepr4KiNxEDMsNu026EqO2Qkgajexqq0T+WODEIiGf4dddwlP8mROFSg0t2NmSIRJDJdUqDytGDRARpZBgQiIwdDKw/nFzY7iBr58B/vcacNcvTs/E85AhYhHFpRV45JMfHZ3DgVoTlTtmu6O6BSM5FlYKfFmVY6IlR8DqPAJDORg8cMafgK+eCi9J1ouaEaI0PpgWTQoFVtwebkgqfU5Si/f6BcCouYLRpXauoyUmZbik2q7vuEYDa9R9QNVO8waPGwjUArOzgNnWN0GNJ8gQsYAgx2POijKnp4FuZmTnzXZHdRwTT5lWNYiyOsdES46AlXkEeo24xHTA5wfWPGjN+IbRsLDWVwHrnxRaJEhpT4ifEyBTFbIP+G9EOEPps7W78kWteuXqxUKzyKg9WOg0sK57DSh9G1g2CQhGV/rAeoLA/ccBd+11eiKehQwRCygpr4q6jkgkHZJ8aG7mEOR4Y3kiXijblcXkU6YVDaLMljW6AdWQQgiJ6ULZpJULXWpne2S7RVbeLf+3mpYQTkoWNL8ntc820mOV2kVQZq07KOSRSHlUtHjUtIQS37e7pDoCIwZWwRWCXHv5F0D5Z8Av3wCBOuDAd0DgqG1TtYXAUWD+acDU/zk9E09ChogFmAqJWMTRxiD+sKgEHVP9ePCKU/RX0ESjbPfky4Dv3rH+uGafMs3G9N2WY2KUdn1cFPD5odo7R7ORwgjS5maa7JmmZa6SEvxK+6h8tqLHqmw58O4kZW+ZVo+allBiNI0QADh6COh1tv79WB/Qd7jwE0pTPfDxXcAvXwMNNUBDNdDg8vDHkV3AlleBAb93eiaeg7rvWoCpkIjFHDkWwC1LNqO4VKfkce9hwhOpXaTnAr+UWHe81C7AFc8KlQdTt5rzNogLMID2iXwavC1G28O7ETGkINfhNuM4YPidGhZsPZ4SXjhewxGFbSxWELYMDZ+tXAde0aNStlzbNiJu9F5yjcDDecC92UJljFkSU4BL/gPcsgaYugWYUQ78swo4ZzrA+s0f3y7emQR8pOB5IyQhj4gFFOZlISczGZXVDa5J9Zy9fBsuyM/WHqZhfcDF/1Eu6zNDamdg/1YLDtTyfi55xNpQh5mYvlU5Jm4hNKRQWyGEEtK6CqWwvYcB25ZpO87gSUJ3VdkmcQAYH5CUrmKEAPKGTcv1kJjWEipyCLnPVou37MPpLW9Do0dNq/cyKQNorNG2rVUE64H7utrTo4X1CWJiw6cDu9a2dWkGA3z1nE5vlo2IFUGj7nN2Hh6CDBEL8LEMZo3Jx6QlmyVz5J0wTiprGvWX8xZcBpRdDpRpXGj0YIkRAntlro1WoViRYyLitLKriFISrNb327GnshECAHxQgxESQmR3XPF6ALT3drEDuXOixVtWq5YkHlG1pTWUeOF9wNIJ2uZvNeseA47sAa563vrrl/UBx58r/IgMnxFuOP+6C/hmCRA4Zu3YWln/OJA7kHrUaIQMEYsoKsjBwhsGtmuA1z0jCbUNzahrin78u7LaQElklxOsn4hVnDsDOPcfxhL8tGKkCsUq3Qg3KLtqQev7Tetq/dg8B4x6QPicQz9rLijkmZgS4mMijqHlEULls7W6d5B4redfJtPZNySUmD8W2PeNsU63VlC2DJi3Grh0gf3Xr9T3tujBtvvCwe+BL+cDQQvCRlp5awLgS3DXd9elkCFiIaEN8A7UNqBbejI2/nQY81c5oy9SVafhSxe5iAedTBhU4avnBEMkFDcs3lboRnip6kbr+03pZM/4Hbq3V+7cvc68EQIAYx4V/m0nAqawj9Jna2US+OGd7ZVv5TxE4rVy4b1A7iDgg2n2ViTJ0VgteKrOmgqc/8/W8xTk+LD7ZGFelrXNO5ub2gTpyr8ADn5n3bH18OYfhNwWNyepuwCSeLeRIMdj0L0rcaQ+4Mj4/776NFw5qIf8BlKLeGI60FRr/+SMEiqL7SZZdnE+RqTBVaXVW566p2511w1N7f22vi8zfXMkkJJG37oUeOsmg28E7T8nKVn0yEaAuj5bhXOQ3lLhJhuiCfXUSF3rvNC35qSL5b2B4vtZ/zjww0fy87UVBrhqMYoxuJ3nOCczGbPGWNS888MZwMaF5o9jJbOrnZ5B1NGzfpMhYiPrdx7Gdc9ucGz8ZD+L3xf2wgX52e2fOLwq5y72sXDr4m0kTOS23iR60CIxrrlvjtq1qPCZaj2HIhnHAQPHAZ37av+cjIYAFc8BD5w4Cti1TuYBoGWblCyFZEyd13pzE/DyZcDuL9W3tRgewIrmwZjafBu4kKJN8c5kqHlnc5NgeGz/ANj7NcA1WzZf60gAZjvgkXIQ6jXjEpzWF2kIcHjhy11Y/OVPKEr/CTefnorTTu4P9BzsXTl30dVtpSy7lRjJMbGi6sbOrrRKqL1fM31z2sELxoMUWsTYUrsARXPbqn/0vn+jKrZy54BhAJ5X9lCkdAIG3wJ89oDCADqv9YREYMIHwgK+dr4gj98UneoaBsDYhI24wLcJ0wK34kNuMIDW2iDMWVGmrdpP7Az8w0dA9R67p20BzcDmJcDAG9r9xfYwlQcgQ8RG3KAvMootwSz/S8gNVAElEH5Su0Rf8MgKUrsIWfHlX4TLcyvhhZJZs1U3WnqOOJlHo7dvzvcfAN++KX2NfvYAsHlx+7lryVuxuuRbD5Hvb8OT6hVFAJCQDGTlaRtD77WekAgM/4fwAwiL+/Mjgf2l+o5jgBSmGU/6H8WzzRfjgaCwOCs273Qw54PnBZvRNMsnAwOuC7vui0sr7A1TeQQKzdhIkONx9rzVjumLjGJLsNA/HwAQamCLTx+eRqscuBvDGZFozaWQcr2r5ckMu62lIZwDeTRmvDBcEFjzsIwnQGHuRvN0jNLcJGil/LxB0DI59Trg+HPk36dqSFGCUQ8AH92pvp1V13pzE7DxKWDzy8DhH2Gn55Tnga+5fvhdYFZrqObRawfg0gHHCRtwQWDpH4Gyd2ybQ1QJ+YyKSyswaclmuW+msTCVi6DQjEtQ0hexGxYcZvmF+Hukl8/zRgigwQixsNW63RitutEilrV+gfLf7ZKet8ILs3mxzB8U5m6mI7Few+nje9obed++Iczt7GnAiLva72+kuWRaV2vKw7WSkAicNUX44YLAoouAPRutOXYEDAOc6fsR37F/wO2B21DMDRE8yVwQ+PxfwJqHBK2ZWKHFayU2SlX4ZmoPU8UAZIjYjJy+iN0UstuRy7hEadAMmtQhbWy1Hi2MKLtqyZNRdHgayKPRslhbUYpsJgfISC6HXsPp43sU9Dl4YO2/hR9/GpB1AnDencCJFxgLFabnmC8PNwrrA276uKX3y53Azk+BIz9bbhwkMTwW+h/DauZLFJafC7z8CDyZw6ZGS3hVrVGqGKba8NNhsAwT8/kjZIhEgVB9kS93HMSCT3faPmY3HDG4Z8tFnpQhaAA4jRaJ6tTO4fkEdqqv2omep3kuCPz0uTXjal0ctSzWVjUAjKZsvl7DqbmpxROigUAdsP9/wOu/E37v3F/HxEI8HazPeAsCK0hMEXJsAJWwmXEYBjgfm4C1myw9rmtIb/NaaS1kuPWVzWHyD7GaP0KGSJTwsQyG9u0ctUqaA+ioaTs+tTOY0DCHWySz9SBWQjgti24FWp7mpQwCM2hJltW6WFtVzWSlbL4SqoYTgLf+BHzWF+jUB7j8WeCbF2W218Dh7Ro3bPF89CgE/i8bgIw4Yc1e6e/p74uBE4cam6MarE/o93LO34Bt7wFvaejWTAAXzWu9L2ktZIjUoKqsbsCkJZs9nz8SCRkiUSZalTQlXH/s47OQjap2OSIAwPFAJTpj96VfYmjiDulF/JqXhZtwsDEqczZMeo77E1KtwlL9F425BXq8HEY9GZEhn56Do5MXoSVnI9gIHCgTfh48DkhINTemJlres9G+T68WCf/aKaTF+oBTLgVOqQZKXgA+uMO+sbwMmyj03AnxWhltlBqr+SOs+iaElYgXoN2XDwcWcwLCkwoXcaWLv88J/AEH6jlhET/lKuHfyMS/6/9r80zNwAgVEV5ISLUCRYNALzpyC/R4OYx4MsqWC5UkL14iqKO+eAnw2GlAgSjjHvltsSAvggsKZaDfLde/b7NDjdSMMDszOuMU/hG4+yDQITs640URU9+2zicAd1e2C52JhQyA/uKB0DLnWIEMkSgTegHazUdcISYFpqISWWGvV6IzJgWm4iOuUN1DU7PXxhmawYMJqWYxUnEhR0au9tJdPV4OUVhM9vYaYTyKHp7I91WzT0gGHXYbkBHhgtYzdylCDZ+SZ4wdw0v8sN6e44p5Sqv+D3j+IuCBHOBopT1jOYjhh8YhtwK3bZK9P4mFDNmZ4ffgjql+TYd3WjDTSig04wDiBXjnslJtjelM8BFXiJWNZ6CQ3Y5uOIID6IgSrj84sEhN9IHjeAQ5XtrF969+wLEDts7PMF5NSDWD2cTM3/4d6NZffx6NHi+HnlJkLR6eb5YAf/1eKB89ul8oZeV5ITm5/Av9+UBebW1ghleLrA/RbHtHEOhqdHFfKp3U8iko5XqhEp2Rg8M40/cDfEavkxl7geQOqptJNUrlOB7XP69eLu0GwUyrIEPEIYoKcjCif3cMfmAlfj1mb28EDiw2cO29MMeagrj++Y3SmdhuNEIuvB9Iz/Z+QqoSSuWxZhMzjz/XWC6Nqnx6RL6G1lJkLR6e+ipg2c3A1YsEI+KdW4xrk1ga2ooTRK/HlteA6p+BzF5AsAn47h2nZxaGZvXTpAwhDL1/G9BQg6pgMu6vPBN70a31AW2m7xVclrDOuCdk2BRNRoiIWMggEuR4xfwRBkB2plDKGyuQIeIgiQksxg/LwyOf/BjdcdGEexIWYwT7DbqiGmw9wL8JBJcy8DEJQEIaEDgS1TlpouEIMGRSbBoggHp5rJZ+KpKYTOw0IrimpRRZq4dn29vC/Nc/Ac0ltlJYGdqKVUQp9aqfgMM7gfI14Zohe4Qmnm5TZ+bAwoc2yfxqPhWbgv3wbeIADBl6DrKYWhzgO8LX5ywU9u0KH8sgyPEYPW81Kri2EMcM3xL8OeEDg5LujBBKvPBeU+9FSQhTnNasMfkxk6gKkCHiOH26pEV1vKcT/o0LfZtkvmg8wAfcaYQAgsrillei1yPFSjR3qVVZaGUNAjksyqUxIrimVoqsx8OzfoHMH2zQJok1LnxI/m9i0u5PnwFblgB1BzUd0i1LIM8DR7kkDA08jgL253bhZzQDWAUAKS17fNXqAc5MSQwTFRvNfombjRohvc4CbnxHUKW1ADkhzOzMZNwzWpj7u1v2xozIGfWacZj1Ow/jumc3RGUs0QgBLGri5AhR6JFiNWqeDtX+IxG9ZuT6qRRcCZQubf+63nb3SljZxZcLAg8dD9QfMT6fUNR6rZR/ISSoxhE8gOVjt6BbZoawYHGBNo9H1S5g95dAc73T0zQNzwNbuDxcHrhfdVvx1jfhrD544ctdAIA7fS9iYsJHxu6LuQOBP39qYEd1Ijvz/lrXiHvf/84TTfL0rN9kiDhMkOMx4P8+Rm2DvXkiiWjC90njAXjZCBFRaALnNtSa0g2fCXABwdujRuhCK2cQhL5+eCewaVF4p+Jodt1VQpxnybPAd+9ac8wrnxfi/5E0NwEfzgQ2PadyAAZgE4TPI4bgeKCeT0Ay2wwW7vFmhGJFh1ueBw5zHTAk8CSaVZz9DICstEQcrmvCO/67cBpbrnt8HgBT+GcEi/4VZizY5aGwo0lepKFj5dyp6Z2H8LEMrhrUA4taLHO7uCthSQwYICIGeqQ4gRbVTj0y2aGhBbmwh/h62XLgs7ntx9aaU2Gl5yPyeId3Cg3trM7XCA31cEFg0xLg/Sk6DsAD+ZcKXqUYgmWANMbeBx2z/IoO2BnsjjPYnYbvUwwDdPEdxQ/sjXim+WI8GLxBdlseQG3dUXydfBs687X6jRAe+Dr3OhzscQfunbfadg+FHU3yiksr2oV+nPKukCHiAi7Mz7bdEOnDxGB83O0xf6uTI7XmVJjt92JF51y149mBFWGXGDNC3M5RPhlPN1+CJ4KXgQOLBDRjhX8m+rN7DRskLAPcnPABBrE/4HeB2UKuSATPJDyMC3xCMqheFxHPA880j8bc8jFA+Tft/m6HDLvWJnkl5VVhFThyyHlXnJKQJ0EzFyCqrdrJLt5k6acbMVvOajdWGkp6FGT1KKFGIisw1uJJKdOpRCp3PCIM9wbIrYfngYpgR1zXdCdObXwOjwevaDUWmpGAiwIP4dbAbTjGaxP2koJhgDN9O7A96Q+4iA2/zpf57xaMEAMGCM8DtwZuw9zg9fLbtfw7Z0UZgpGy1gbRKl6mZTs17wpg7dy1QIaICxDLteyMnNzffEPrF8kbKJ0Nj0i7W2koDRwn7b04WgU8MQSY10f492iVuX4vaqGk4hnCdlog3Q5ZeB7gOGBnsAtubPorTmpcjGXNgzz0/TQGzwMrg6djaOBJrOcKJL0VAPABNxQFjYtwXdOd2BTsa/jelcjweNK/AP/13wMWHMawn2MA+5OhuR9FMm4JTMUHnHozQatl2LWKl2nZTo93JVpQaMYlyJVrWUUTEvFxcBAu9G2yJDHMflTuOl6Qdjes+yFB577tX3uoH1AXIjpX/yvwcB6Q3FHbMSMNJas652o+ngyJHYCmozJ/ZABfByDoLUVPHgDPAcfAYgX3W8xqnoAmhJd63tH8V/y1mcM03+v4S8J7ks0qvUwTz+L2wF/wIaftAYIDi/VcAa7kCrDMf7dhA0LwjuzEj+wNQrKuAU/Io82X4bHgVbKGkxyhHgoziaFqTfL0iJxZ6V2xCvKIuIiighysnT4C94w+2ZbjFzLf2XLcqML4gKsXO1/1oQVRCAyA6VqFSKMh0ggJpeFIy3hKYyYAezcJFSUiRj0pZreLpMuJMn9oeT8J3luheQADff9FQdMSzGy+uZ0RIsKBxcPB3+OExiXYEcyJCQ8JzwPLmwejf+NLmo2QSC4P3IfnmotMnQ9DRgiAr7KvxfzgNbqNEKDNQ1FcWoGz563Gdc9uwO2vb8F1z27A2fNWo7i0QuUIAkpN8vSKnFnpXbEKMkRcho9lMP6sPMtzRjJQg46s0DVU7svoiZseHwRS1ZOxALSJNW1dKvyrNaRgJaIQWGTjNs1IhKGOVskbIa3wUPbCNAOfzALu6wo8P0owSIx0zpWjqR741mDn5n2bpV8Xm901Nxo7roNwHHCkXntZMAcWIwP/xsmNL2BLMC/q300rwrgcD3wZPBn9Gl/ClObbDS3kodwfvBF/CUw2PDcjXmAmZwCCF+qobBP3g1CBUpiX1ZoYGunpFhNDtRojck3ysjOTdSWXqnWAD517tKDQjAsJlfi16v6zwn+36hdR6u+uDONoedK2uvLDDJFy54d3tpTtqqmjyqiivnChtnF9KUBQg1jVng2CQdJ/LJCeA9RWysxLRir+WDXw6lXC++K4lkZoFpeL9hyM4LgPULK7GgPYDkgJessYYQFkoQpVaH9zV7oKGpCMywL3IyuFxVf8tbbrgIQu8Ea+9+L+67iTMS4wU1XPQy8fcsNwSyAB//Y/gQ6wWe8lewBw8+co5HhkZySjskZbqCLUQwHA0rJbqSZ5erU/3CghT4JmLqa4tAJ3LtuKqjrzX7itiROQznrr5i2LmoKmmoiYG1RZpQwlhhUSCUQyjpOWT5/dEdFPAI04d81NwManwK26FwzXpHtx1NurhAcwPOFV7D4KdMQRfJP0F4BxpziXHOKTfD0YHOE7IIEB0v1AY1oPTK++FJ80tk/ebCdWtWsLgovPBevGBwQIXpBnmi/Bg8Hf2zoOCw6TfW9jSsI7SGA49R10IAiV3Qxc/C8Awn14xttbceSYtvtwp1Q/5l5xCooKcjQrZ782cYimslsrsVtHhJRVY4hl3+zFHW9sMX2cz/23obfvsPkJOQ4L3L1fvqeDXrl0J4kUDes5uK3dvZKI2OzM6M8VPiA5A+jYUzCW9pdGfQYvNo/ErOY/AgBK/eORxgr5LW5ckI0gGXJgw/5pa+vGCe/bLe89yANvBc/Bnc1/stwLogQLDm/4Z+MMdoclyqwAsKPvjeh34+MA5PU2lMjOSMKXM86Hj2Xw7pa9uP31Lar7PHrtAFw64Dj9kzYJKasSmsjOsCZX5FXuXMz0vW3JsZyFExZrOY+I1ZUfdiKljqo2pxptTcmsJwg0/ApU/grAme6roaJ8BYHFYcZILKDFsGDb/ccdsABGMRvRx1+JPXxXvM2dg/Xcb0znhciRhSp84v87OjL1Qrkpl4LubD18Ji/Kj4ODkHHWbPSDst6GEpU1ja3CYm5MDA3FxzJR98RIYbsh8sQTT+Chhx5CZWUlTjvtNDz++OMoLCy0e9iYQUwsMlvSm8PIlUN6EKUcEbsrOpzmCXUNg2jgxIN4pChfQWAxOuIIiv13oJuvMdxroMNb7ybPgldhGCDT14hC/IBC/IAr8SU4HmjgfS2KqUE0w4df0BVvBc/FouBFhj0n3/lvRDLbHPaZ5aIePA8EgwDL6v88G3gWdwT+gi3pI7C2JUlTTW9DCbH01cqy21jGVkPkjTfewLRp0/DUU09h8ODBmD9/PkaNGoXvv/8e3bp1s3PomEFMLLpliUwlgUZ+5mPofCtVbVhZ+eE2HMkNcQc8L4jyRXIEHTEksAiPXtnm2p77/jY8+8UuzcdORgPm+xfgPOZ/SGSCZJRYBMsAqUwQgFitxqE/9uEu9jXcmfCaIOoGoIH3YyfTHZV8NxQHz0QFuqKE6x/mTUlP9qG2IdhqhEjBMIDPQLSV44D8ppfAgcVTIUmaZnQ0RA+HGxND3YitDr7//Oc/mDhxIiZMmID8/Hw89dRTSE1NxQsvvGDnsDFHUUEO7hjZz9QxXgpeiKCnlFVlSMlSVlQVRcSUitO8oMoaSRwbIQBQz/tktTeAtht/UzOH59fu0nXsBiTjlsDfcFLTy/hN43OoCqZ6/3vichhG8FwksEAHXwCnsb9glG8zHkl8Gq8n3ocfkm5ASeLN+I//cZzN/g+Pn/krNuYtRrKvuXV/q+AglEvfMfLEsCRNI+ESqdJXubLb7hlJmDqyHxqbOazfeTiqkupuwzaPSFNTEzZt2oSZM2e2vsayLEaOHIn169dL7tPY2IjGxrbKjpqaGrum5zkmj+iH10r2aC4hi6QZCXi2+RLcnPCeO0tyrUIUEXvzRrQvjJQph3U7lTsQz0YIADwSvEr2b2mJvtYb/8vrd8HM/fwYUjEw8BwS0YS3/LNQwO6O3e+Ki0lggG5MLa7AelzhWw98FfJHiz+PZrDIzkjC5BEnhL2uFlaJRJzWtWf2wnvf7gtL/owsu9116BheK/kZj3zyY+v+TnW+dQO2eUQOHTqEYDCI7t3DXeDdu3dHZWWl5D5z585FZmZm60/Pnj3tmp7n8LEMZo8114/mweDv8XSzBR1KnaS+SrpZWyhyImKiIJbTpbt6eWaI0zNwFJ4HFgVHy/79WFMQ72z+Bet3Hkb54TpLxmxCIsYE5qJf40uYF7gCHBcD3kRCklokYfbY37QLjyipmUrRMdWPzFQ/HvnkB0n1VDExNCmBxfxPfmj3UKlX4CyWsK18d9++fTjuuOOwbt06DB3almD3j3/8A59//jk2btzYbh8pj0jPnj3junw3EkFbpBRVdcarBXb4fw9fiwnqyae9K58HTpF/Qm4lsjxWrhzW7ThSruseDgdTMSjwnKZt05MTUNtgsZhaCz3wC1b7/4EEhhJcY4mGhE5IvntXu9fF0tZPyiqxbMveMD2nnMxk3DM6H53SEls8HHVh3g2RSB2YIMfj7HmrZZNgxeTVtdNHeD5vxBXlu126dIHP58P+/eHVCfv370d2drbkPklJSUhKSrJrSjFBUUEORvTvjiFzPzEkdJaNSvgMZJW7Cq2JplLlsV6E9QOczSqSLoXngXMD88NeE5NLezEH8TPfFVMDk9EAIf5ulxECAL+gB04MvApA0K/4LbsJD/ieRDbTCJYME8/Ccu2FHqXEvrLSEnHZgFycf3J3gAcO1Qn7XVSQg3Mf+lTy2JHqqXo637qhrDZa2GaIJCYmYtCgQVi1ahUuu+wyAADHcVi1ahUmT55s17BxQWICiwcuP8WQBPyn/r97+4bpxURTs/x5A/DUIKdnEVVEP+1hLgFH0aH19Xf9M3Aq+3PrNZyPPfiO/SO2cMfj8sB9UZsfBxafc2fiLG4RACABzRjn+xCj2BIMYnaSYeIhmrgA3t/8C7IzU1CYl4WVZZWS99Zf65rwwpe78PY3e8NUVrPSEhU91KHGhRs737oBW8t3p02bhnHjxuGMM85AYWEh5s+fj7q6OkyYMMHOYeMCMRM70mpXI4lxoPGblXgt0dQKsk+Ael+a2IPjgDMCL7X+/r3/BiSynOQCP4D9Ccv8d0fVGAmlGQl4PjgGzwfHAAC64BBW+/+GNEaQv6dQjntJ4Jpxx5v/AyCoojY0c7K9YQC0k3rXGiYX1Uu14JTAmVPYaoj87ne/w8GDB/HPf/4TlZWVGDBgAIqLi9slsBLGEDOxX1j7E+7/YLumfRp5H1JgjTHC88JiYURASDcpWcCYR72XaGoVs49YXsLL80CABwAGAbA4yiejA9OAZARbY9tOLKDiddW3JQwCABv9f0YiK61SxjDCPgPYn5CMhtYwTbRhwaGQ3Y5uOIID6IgBgRdatTAS0IwJvg9xhe8LZPB12Ils7OG7YhC7A3mogJ/hoTUlQJSCD/DArcE/oQGdcTm7Fj2ZA6hHAljw6IJaMAyHdP4Y0pkG+BFAI/yoQQfs5ruBA49uqAUY4DCfjmwcRjfmCJIRgA9CSWsV0vFi8Dz8PWG5pmtgR7AbujPV6MA0esroYkK+U5U19vXjEqtoSOCsPdRrJgYIcjzy/1mMxmZ1OclsVGJ90jQA5hYYjgNOaFoCDiyS0YBv/BOR7Avao7g54PfA2AXx5wmRonKHxjANA8AnWInJGTjKJQLHDsAPDr+iAxYFi/B88BJVdUsWHM5i/4d/+F7HScwvSGCF24UY+2YMloLLtXLneeAPgVuwDue0vtYBR7E16c+axlkZPAUTAzPVN7SYUWwJZvlfQi5T1fraPj4LcwI34iNOXUmaBYdh7Fbc4nsXBcwuJKERDHgkoOU8t2zH8cDIwAPYhT52vA1JPvXfjj6s0FpArkN3ECz6Ny5GMxKQjAY86l+A05gfkYpG+BFEEhPUbGhFm2YOOKHpVfUNDRKZgCr2rwGkBc5aGxx6HGp6F4fMX/kD5q9qn7UthRVVM8Fg+BNrq+Kh1R1Rk7oA038gI8QExaUVppV55eiAo1jqvwd9mf1gIWho+iB9DdSDQSW64kuuAPc139gqUCYYO5sxy/cKMpljKOezMT4wHceQKszf/1f092kraWzigBNNLioJaMaNvo/RizmAn/lueCl4oaLBNootwUL/fOG9hLxxUc9kUmCqJmPEzXzj/xM6ssfa3S/E1eNplY67gqG1BdN9b6Ivsw9+NAvXiQtCVsc4H/KbXrbl2HLGhd2db90AGSJxSJDjccrsj3CsSVvYRTRGQm8C4pWgdGMQtxnTeCdKUQBAaEC1KWmy6r6GuObl+A3HWIBauaBdMAAuOTUbK76V1gwSGcWWYIH/MfgjWrmLHpOj8KMDAmA1Kh5xHHB8hCHCgsNgtgxnsaU4ldmBXkwFuqAOHFiU893xcPBK8PDjcnYthrJlyGZ+DTMogjyDZ5tHSy60LDisTZqCbFRJPvFzPFCJzji78VHbGsBFi7t8i3BTwsqw99nMs3iu+WJFI0QJ0ejrw1SgO/MrGD6A4Wwp/AwfNQPlq2BfXB2415JjdUjy4Whj2z1Yybiws/OtGyBDJE7R++SbjUp86v87kpggGnkfzgs8hNf996I3+6usCxZoH7/f6f+9oR4PmkjKAGbusengsc/6nYdx3bMbHBn7prP64Pkvd8n+XfQkiMmcVsBxwBGkogk+/Mgfh86owwnsXiQy6mFLOZSe+oewZXg9UT1B9tqmu7GByzc8B7eg11uk57gv+udiKPtd1EI44uf6m8bnWr1vZmEATB15Ivp0SY1J40IPZIjEMR98uw9/efUbU8dIxTFs9f+pXRKqVBLhFv8EZLI2J6fFmDGi5UnIqqeld7/5Ga/9943WBMrIZmJ2kpbkQ12jtIdO8CRMQg5qHXfNayEyD0JkLLsOjyUuUN1/StNkLOfirOxcI//0LcaEhI+jeh2Iq1451x0jAo9YdtxYEiQziysEzQhnGFWQg9TEbzWHaKQ4hlT0DbyKApTiXf8DrVUJlwaEcAwLDkPZb3G3b4n9RggANNYANQeBjK42D2Q/WmLDVsWPg9vexfnFf8eliW2ignoSKM0iZ4QAQCG7HblMre1zsAqGARLA4Ubfx3gheHHr6wfQUdP+WreLN0r945HGNjlijEoZIeI0MlP97cp0tRCvgmRm8XbQkmhHSXmVKSMklFIU4DeBF7CKPw11TBL+mzgPWxLH4cekG/BK4r9wsm9f9G4gz4+I0kD2IWbLR+ZrhPaY0LKNFr756EWw/70RqQ3hysbZqMJC/3yMYktaX3NiEeiGI9Ef1AJ6MQfCfi/h+mMfnyXbaI/jgX18Z5Rw/aMwO++QimP43n890ljjrSqMwPHAjmAX/KbxOYwIPNIuDJSdmYyFNwzEg1ecYmqceBMkMwt5RGIMK78Ay/x3YwD7U9hCZZUGiW6OHXZmXIsIcjzmrCiTFUpiAMxevg3hqgbttxGloqXcvq29MbbtxU2bZoMH2t1oWUa4Gc/yv4yVjWeAA4uM5ARU18tLo0fqY1gR3vGqh+BnvlvY7xxYzAnciIX++eB46aqZOYE/eD5R1UpW++9AHrs/agZwE8/iE24gXg5eiI1cfthnseC609EpLUkyBHrHyH6S/WO0EG+CZGYhQyTGsOoLsMx/Fwaw5ZYcyxJSve3m1NJjQk1MScntGxrOGcKWITexSvogEBbLXBxGIbsdW/2nKBohZvUx5Cjh+qOa9yOT8UYPHTFH5KXghe3+9hFXiEmBqcJ5Qtt5qkRnzAn8wfOlu1YiGiF2w/PAN9zxeCh4bTvjQyQ10Qe2pSOuFH26pOkeN14FycxChkiMUZiXhaw0v6GGeCKXsF9gAFvuriTCm1Y7PQNTWOmpijxWZLWU1rBHNxxRzOMI1ccIRQzvmNHH4MBiRuBmPOkXEj1dda1FICY2Ptd8sWyFyEdcIVY2nmG55yiWSMWxViPEjs+b54EKrhOe54rwYvAi1WqeY01BTFqyWVZAzOhD3awx+XGfqKoXMkRiDB/L4L5LCwxXzoxiS/C4f6G7FoakDM8nqlrpqg09VpDjMePtrWF/tyKBkgWHWX6hz4uW8I4RPuSG4ePgelzo22Ro/2jBQV5HJHw71vISXTvCYk6x2D/P0vsKxwM/crko53NRwp+El4KjdJcS8wDuXLYVI/p3R2JC+HlVk2OPhGWEUE+sCJJFEzJEYpCLT83Fzb8cwdNr9IVWQhcf1xAjpbtaekx0z0gCwGB/jfY+FAtW72iX3S8mUKqJbCklUApVLdrCO2YW35ub/4qZ/CuYmPC+6yTAeR54KzgMM5pv0bXAWWU82BUWc4pcxpo8L54HtnPZGBP4lyUaJlV1AQyZuwoPXF4QZkT4WAazxuS3yrGrwfFAp7Qk0/OJR7xpWhOqzLw4H0/+fiCy0hI17yMuPq7whqTlANN2xIQRInLtmT1ln6x4ALPH/gazxwqLutRHwAO4Z3Sb2zfI8Vj0ZXtjU0ygBNCumkNrAqWe8I5Z5gavx4mNL+H+wNWoDiZJ9qCJJqKq6xYuD39rnqxrsRvFlmBt0hS8nngfHktcgNcT78PapClhVUpaj7PQPx/ZCDcGpaqejMKCwxC2DGPZdRjCloGFcdE3LezjzeV5NfPAZ8ECnNS4GBcF/mOJESJSVdckWZUmdjnPTPFrOk5lDVXLGIE8IjHMxafmYFRBNhas/hFPfLoDTUHlO3y0SyqDAHyn/E7oqpuYEtWxo4mULkgkHVOFG51445Pb/t73y8CywnYl5VU4Ui+dC2Q2gTLa+hjNSMCzwcvxbPByJKAZL/nvx1D2e8eM4i3c8bg8oK6YGopVOTXRCIs54W0ZH5iObeyfAOjLEanlk/Fs88VYELzC9rCUVFVaUUEO9lTV4/4PvlPdv+qofd17YxkyRGKclWWVmP/Jj5pinNEuqWQBYOsbQFo2MPJuIEG798YriLogaue/+lggLHGO43jJPB9RT2ThDQNVuy2bSaC0IrxjlGYk4PeBWUhAMyb4VuB23ztIYwKWGiU8L7yHBviQBKFrdBDAWv4U/CVwBxoQntOjFm6x0niwOyxmZxKyEseQinKuO/LY/eAlujaLnrD/cT3x7+C16IT6qObFKFWldemg7d6kxwNNtEGGSAyjpF0hhdriYzWtQ2x4VPgpvBm4+F/2D2wSrfLres5/qE7IiP7dce/70k9fodv968pTVY9rNIHSDfoYkV6SF/0PYBi73bBBwvOCpsRPfA6uDszCUXTQtJ8W74FW42G8rxiH+I6KC6xWz+QwphQl0LdIR8PbosSIwCOyJbzNYDE5MMXx/BepCrfsTG0eW63bEeGQIRLDqGlXRKK0+ESFkqeBkueAGT8DydoWCTtQMjTk5NfvGZ2PTmmJYfvoPf/iE9nL63epao5UVDfg5iVfG32LmnCTPkYzEnB94J8oYjfgCf9j8Bm4NhkGSASHNcEBuowQLd4DrcbDP/1LWv8vFwrR6pmc4n8HVyWs0RVOiVYSshIjAo8gFcew2P8g8pj9qEYq7m3+A77gBriiIkiqwk1MNlf6XuaQfohhqOldDPPulr24/fUtuveTegKMOjmnAzd/FvVhP/i2Ane/W4qqujbpabHPCwBNYRZxn4sKsvGCQvdZOX7brwu++PGQ7v3swm0lpCw4fOv/o+EeJUEeOKnxJdVkR6Ex3xTV8NTZjY+ikN2uqQtv5P4A2oVC1MbVcgw5qEmfMp1S/fj67gskPZxKYVYGkNUjiVf0rN/Om5+EbRjVrviIK8TZjY/huqY78SvfQbaPhq1UfAM8oh56sJK5H5ThL69uDjNCAMH7cMuSzZjx9lbNYa7K6gZDRggAVxkhQFt4Zzk3DBtkVCqjPZ+CwGLs59INVdj4GOBG38eq24neAzljgGWEktRCdrtqzxmpeYrHneV/OaxiRanqSesx5KAmfcoonW4xkTwnM/y+mtPSn4aMEOOQIRLDiO5EIxEWDizWcwWYERCy3B0xRqp3Awui81T2wbf7VHVX9HTjFHM53KaNEUsMCTyN55tHGTJGzma/Vd1GTwmzmvEg57kJNWZCEcNilVB39csdQ4pYatI39fx+7ZJDzX7fjhwLoKRc3hNcVJCDtdNH4LWJQ/DotQPw2sQhWDt9BBkhJiFDJIYRBXkAaV0KNVhwaACDAMca2t8SDm0D/q+LrUMEOR53v1tq+XF5OGTAxRH3BcehX+NL2BvM1GWQDGe/VdXi0Os90GM8RCJl9IieyceaLzN8jEis0JhxC3ld0/DVXSPDjILt917U+vsdI/sB0H/vU2vH4GvpT3PpgOMwtG9nknO3APdfbYQpRHditoQ7MUHi02fB4Xx2I0oTb8TOpBvwYuIjSPJxzoqccQFgjn3GSEl5lanePGpcXNDdtmMTQiLrWYGFqOaSdRkjauEMI94D0Xi4tuluTGmajP8L3KBpLnJGDwcW67gCU8eIRM5gqkRn20p37aBbejJ84DCULcOlvvUYypYhkeVbjYTbR56IpyTufVqOS0QXqpqJA4oKcnBBfnZYJcig3p0w8N6VONrY1nl1FFuCJ/3zDVUk2A4fAF6+AvjD25Yf2sqGdFJcd2ZvfLhtv+OKobHOgMAL2Oi/Bd3YGlXDWUt1iNES5tCSaRYc/pTwgSk9Fjs0XbzcpK+11UHDWmD+DKBmX9sfM3KBonlA/lgA4fe+ypoG3PveNtmHDqXOuVpL9gljkCESJ4juRJH1Ow+3M0KekihTdBU7VwFN9ZarsGp9AkpOYNHQzIGBclKbiHhjY30MGSFRYnDgKTyT8C9c4NuiyYunFs4wW8JshR6LXZoudjTpsxvxrT858Bf4/ns72n0TayqAN28Ernmp1RgJvfel+NnW3jGhe4rHleqcK1eyP2tMPuWGWIT7zV/CFkK9ACy4ViPEFX1mlFh5t+WHFJN61WhoUTLVco5Cb2yHSPY5qvy5+R+4IfAPTdtqCWdEhluubbobZzc+qjmEYUUoJFbCKWbJTPHjjvP7YsC2ByH9ONDyWvEMgAu2+6tcqDpbpvJFLNmN1A8RFY4je9MQxiCPSJwS6gWYwL7pfgNEpOonyw8Z2mVTi+NCSwJqdssT04j+3XHve9tMz5HQx3ruVEvDGWa9B1aEQrwcTrGKI/UBrPt0BaYk7lPYigdq9gK71wF5v233V6lQtVSoRUkZOVThOLI3DaEfMkTilFClwLsSljs9He1kHW/LYdWazekhK82Pz/9+Hv798Xb85ZXNVDnjAG6QqJeak9lQiBfDKVajuTnn0fYy8iKRoWop1JSRlXrTEPqIH1OaCEP0AnjOjr9An3qlHkI1Aiafd4Lh41TVBTDtzS14ek05GSEOQuGM2ESz2FoHc9VqWpPY7U52jwfIIxLHiF4AfqnTM9HISRdbnqgaifikZPbm8v63FDt2AxTOiD3Um3MyQvVMb3NiiFqT2Knc1zz0bYxzigpygIue0ixd7hgnXQxc91rUhjN7c3H9+YwDWHAYwpbhEnYDAOA9bogrJOqJcJIS9PllFUXZ0PLdK3oQYH2m5qWmTM2AGt1ZBX0jCfgGX6e5JDVa8DwQ5IBNGaOw/nfbEPzdq1Ed34w8vhcQF+mx7DoMYcs09SnxEqPYEqxNmoLXE+/DY4kL8HrifVibNEVVTZWIHuJ3q7FZ/51HNuzGd8YP5z7RWrprBiVlaqVyX0I/1H2XaCU4OxMsjMnBW4H4dPMt1xvXBmahAW1eiWjX7Qc5HgtW/4hHPvkxKuNFE6nuynIt6b3IKLYEC1vK0aWSVCk/xB1kpSWC43gcqTeuaizVGfqRawfi0gHHWTZP0hExhp71mwwRIozg7EywvH16IhwveF5YSI8R2lo90oXOAHji96ejU1qSZNmdVeqHUjeeWCHWF2kWHNYmTVEt25W6vgj3osdj+9rEIZZXsZCyqn70rN+UrEqE4ZtdjfrZ3ZGMBtOekUaexfLgMFTyncEzDNa3lB2+lviA7D5K0ts8gMmvfRMWFxafTAC0Mx6y0hJx2YBcXJCfrfnGIQoYudY6NwELDrP8Lwn/jzgVLCMs0rP8L2Nl4xmeXaQL2e1hnp5ItEi7y+4r8fTt1fPkJf54Vh98WFqp+mCgJNFuFi3lvoRxyBAh2pEyez+CNYdxeMEIZDbsartIGIT1oeF4IZdD9HDwABrgwypuEF7nRmADV9DuRj2WXadpDnJaAZHJaZXVDbilRbI5kqq6Jrzw5S688OUuWVdq6JNOl7QkzF4uLWAUC9i5SLsFrRoTmrUoWoj1cJabuSA/G3eNzkdJeRU+KavE81/uarcN5Wx4GzJECEl8GZ2x83ercd2zG8Lc+ZEwDPAXHe58va3V1dBqNFS0SDKHyjjHcghGCq2L7zCmFCXw5tO+1dcXANnrPxtVWOif7/lwlpvJSvNjUO9OrR6JoX0748y8rHbf22yX5WxQKEcflCNCyBLkeJz5f8V4j/+LZTF3J2P4out27fQRWFlWGbMhGDmGsGV4PVGbIJxXn/atvr4o58R5pLyZbl7oKblVQM/6Td8cQhYfy+DOgiPIZeSEg1rc+YzgzteCogaAzdLboiTzuh8PyfaQiGVEIShNvXJanva9Vu5q9fUlhrOsuP5jvWTaSkLPVe/azbh1yddhDeZED8mlA47D0L6dXWWEUJM8/ZAhQihyxYnaond6Yu5OS29PenVT3IRjQlFapCMR7+uz/C97bsG08vqyKuck3nVN0pJ8mpPfpc7VF0lT8Nk7LyDo4p4Jak3yACGh3s3vwSkoR4RQhE3P1rSdnpg74Kz09tHG9u3B4wVxkZ7lfwm5kE9cBbydvGrV9WVFzgnlmAB+ltHkgVQ6Vw8E/oUfP++Dk8673vL5WQE1yTMOeUQIZXoPAzJyZW8iHA/s47W3Uw/bt6WT6HJuGElvR5GPuEKc3fgYHmu+TNP2eitM3IIV15daOEvt+lcrmQa86XXSy5H6Ztwxsh9yMuVbJ2g5Vz1L/g/g3PkgQU3yjEN3fkIZ1gcUzQPAtLtVhsbcAVD820NwYLGOK9C0rZpXIJZzH8zmnFiZY+J1+nRJa+1u/cez+iArLTHs71rOVWp9JbBbmwRAtKEmecah0AyhTv5YMNe8hIYVf0dKfWXry5Xo3GqErE2aQhoLHkOti6lYEaLk7YoHfQ25cJZ4/Su9T7t0TbxIlw5JYWW4ojaIqOFT/PpXgBZnx9H9ts/VCGJ/qsrqBkkPsp2Ca16HDBFCG/ljkdJ/NJa+/SbWbC5tjblfwH4d9/FvryI+7S/0zwfHS0u+Kz3tx1Pug9GcEzt0TbzKX9/cgtljf9NawhqpVuo/awCwRsOBOnS3Z4ImEZvkTVqyuZ0kPQmuKUOhGUI7rA/+E85pjbkDcHX8m2Wca+DnFYxWmMRj7oORnBOzOSaxxP6aRsUS1sLhY1Cfkq1wxTBAxnFC3ppLKSrIwcIbBiI7IhcmOzM5TEyRCIc8IoQuQuObbpcMpyo5bRh52jf72cdL3xazXqdYgofwYDBnRRkuyM9u7xlgfUgZ8xD4N29s2VbCp1D0oJC35mKKCnJwQX62awXX3AgZIoQuxDhoRXWDJ+Lf557YFZ//cNCx8b2C+LSvFa2faXdUYQhbFmZwXMB+HfN5JaGYyTGJNVRLWFvy0VA8HajZ1/Z6Rq5ghOSPjdpczUBN8vRBhgihi9A4qBfi3107JKpvROhG62d6j/9ldGFqW3+v4jugE462S+aLRl6Jk14YJ3Vz3IhiCWv+WKD/aKE65uh+ISek9zDXe0II45AhQuhGjIPeu9yPfY3mqi7sJDsjCWt3HHZk7FhHreJG7GCVhdqw1zvhKADpvBKOF/JKVjaeYfkC7YbqHr1eJy+SleZHVV1AdTvVElbWB+T91qJZEW4nPs1xwjRFBTlYM+MC1A6/DwzTXjXRDfHva8/sicoaEg+yAy36GjzaGxwMI/xIYZemhljdkx2hJOvVfjp2EvnRKGU1MC0/d4w8EY9eOwCvTRyCDTNHIiczWXG/HCphJSIgQ4QwjI9lcNJ512PL0EexH+Hx0Gj1jVGiOXYKNlyJXMVNFTLAMO2NEK1YmVMUj9U9RvnjWX3aVXt0TPWjY6pfcnuxEuT2kf1am88lJrCYNUbZ6zP2tBxK3CTCoNAMYYri0gpM+rQLGDzqwvi3/rIZv49BIEjlNlqRyn3ojio8mvik4WNamVPk9souozAAkhNY1FtobV+Qnx0mMrbrUB0e+eRH2e3vGX2yZDlqUUEO/nxOHp5eUy653zNrynF6r05Uykq0QoYIYZjQbpO8C+PfmSl+dEzx40i9esxahIwQ/UTmPgxhy4wdx4acIi9UdhmBByw1QrLS/K0lpkP7dkaQ43H2vNWy2zMA7n3/O4wqaO/dCHI8lv9Pud29bAkvEZc4/chKeBi1bpNOc/8H23UZIYQ1qIl48XxbMquIXTlFXqjscgNjT8tFSXlVa4t6PZ1kIzGzLxGfkCFCGIa6SBJSqCWy8gB+RYew1+3KKSJlU20sXrcb1z27AWfPW43i0gpTnWSpCy2hFwrNEGEEOV6zIiB1kSTkUBPxWslFR1PD7cqmt59/AoIcsODTHY6MH0lldQMmLdmMqSNP1LS91D2AutASeiFDhGiluLQCc1aUhblVczKTMWtMvmRimVq3SSK+URPxilZOkZuVTV/esBsbZo7EW5t/ccX3SJRhf/2rn5GdkYT9NY26O8lSF1pCLwzPR0Zr3UNNTQ0yMzNRXV2NjIwMp6cT0xSXVmDSks3tbhziA6RcwyZxP8BIjQpBRA+39re5Z/TJ2HukHi98uatd11YnuWNkP8xvqZqR6iSr1MRN7r6gZV8iNtCzfpMhQrRmyMslmIlPMGunj5AM00h5UgiC0I+oMCuSk5mMa8/shV5ZKbj3/e9QVdcUtbk8eu0AJCWwurykoej1sBKxhZ71m0IzhK4sd6lGTpHdJn86eBSPr95B3W8JQifid+ams/pgZH52a47W+p2Ho2qEAEIOx9C+nQ13kqUutIRWyBAhLMlyD+02uX7nYTy6yh3JdwThNRgAH5RW4s7R+a2LdjQrTCJzOMx0kqUutIQWbAmQ7tq1CzfddBPy8vKQkpKCvn37YtasWWhqiq5FT2jD6ix3KssjCONI6WxEq8JE9FXMGpNPngsiatjiEdm+fTs4jsPTTz+NE044AaWlpZg4cSLq6urw8MMP2zEkYQIjWe5KZb6RN023JgkShJuprK5v/b+VFWqiefHnc/Kw/H8VYWHZbMrhIBwgasmqDz30EBYuXIiffvpJ8z6UrBo99GS5qyWhhSa/uqH9OkG4hRuH9kbvrFTc+/53qttmpSXigcsLwr53VlSoRX5XKYeDsANXVs3cfffdKC4uxtdffy27TWNjIxobG1t/r6mpQc+ePckQiRJasty1lvkWl1Zg2atPYaF/PgBpISmnu/MSRLR5beIQFOZl4ex5q1W9G1ofAiIrbSKP0T0jCf++ZgAOHW0kY4OIGq4zRHbs2IFBgwbh4YcfxsSJE2W3mz17NubMmdPudTJEoofSE5KuMl9wqH2wP9IaD0i2gxcbnJ3d+CiFaQjXYXU4MbIEXs6gV9sPaP8d/bWuEbe++g0A0uwg3INthsiMGTMwb948xW2+++479O/f1rdh7969OPfcczF8+HA899xzivuSR8TdrN95GNc9u0F1u9cmDsFQtgx48RLVba9tutt1XXuJ2ERrWMRsODFSlEzOICgurcCdy7aiqk69MeNrE4coVp+QZgfhNmzTEfnrX/+K8ePHK25z/PHHt/5/3759OO+88zBs2DA888wzqsdPSkpCUlKSnil5Hi/FaHWV+fr2a9rWa+3XCe8yKj8bQ/p2xnNry2W9eqPYktZwYijZqMJC/3xN4cROaYlhmh9yCaBFBTmoD3C4440tqnNX++6RZgfhZXQZIl27dkXXrl01bbt3716cd955GDRoEBYtWgSWJfd7JF57itFV5st217RtvLdfJ6LHV7uqcFa/Lpg1Jl8yLMKCwyz/S8L/I9ZvMQ9jlv9lrGw8QzFMc8/ok5GdmaLJIMjOsK50njQ7CK9ii3Wwd+9eDB8+HL169cLDDz+MgwcPorKyEpWVlXYM50nEGHHkk5nY/bK4tMKhmckjlhDKPWMxEAypwrwsoPcwICMXkNma2q8T0Wbxul0IcjyKCnKw8IaByMkMX9zPT92BXKZKMqcJEIyRXOYwCtntiuNkZ6ZgaN/OuHTAcRjat7OiV0LXd4ogYhRbDJGVK1dix44dWLVqFXr06IGcnJzWH0IIx8xZUSaZqCa+NmdFGYIu00j3sQxmjRHyOSJvnO2EkFgfUDQv4q8Cre/RwfbrRPxxpD6ABauFJm5FBTlYO30EXps4BI9eOwCvTRyCpy/roek4cuFEI0aDru8UQcQotqwC48ePB8/zkj+Evt4ubkN8msyOeJrMzkxun52fPxa45iUgI9wArU/JptJdwhEe+eTHVm+jGMoQPRdseramY0iFE80YDbq+UwQRg1CvGQeworeLk+hKjMsfC/QfDexeBxzdD3Tojv81n4SPnv8q+hMnCAjexgvys9tfr2I4saYCUpJhPBg0pWbjxsuvxe4PfrBUkZSSTYl4hgwRB7C6t4sT6EqMY31A3m9bK4Qqa+uRFVFZQBB6YRngsd+djs7pSaisacDd72xFXWNQdT/ZTtJiOPHNGyFVhMsASLrkX7g4vydGndLDcqOBkk2JeIUMEQcw0tvF60hVCBGEGTge6Jye1Lp4p/hZ3NIiga6GrLdRDCcWTwdq9rW9npELFD0o/B1kNBCElVCmoAPEQoJakOOxfudhvLtlL9bvPKyYWCtXIeRGZhSd5PQU4p4/ndUHk887QdO2oQZFUUEO7hh5oqb9FL2N+WOBqaXAuPeAK58X/p26tdUIIQjCWsgj4hBiglqkl8AL3S/16J8oVQi5kS4dktA9PRH7ayls5ARTRvTFtAv7Y/3Ow1jw6Q7V7SMNiskjTsBrJbtRWdMoub1mb2NLOJEgCPshQ8RBvJigJtcjQ9Q/iczyV6sQchsz396KxARzPUW8YnRFA4YB9BTLvfn1L8jPzcQF+dmGwpc+lsHssb9R7CTtdm8jQcQbFJpxmMgSQjffII3on7i18keOAMejrkk94TGSTql+PPn709uVYMYSyX79twvRCNF6Ve+vacSkJZuxsqzScPiSymEJwluQR4TQjB79EzGRz82VP1by67EAOqUlYe30Ea0erl2H6vBayc9hYYKsND8G53XGh6XRURm20kPTEOAM7ffHs/rgw9JKTZ4xHsKc56wow9rpIwyHL73obSSIeIUMEUIzRvRP1CqERGIhpPFhi1BW6II3eUS/dovhe9/ui5ohkpnqx5Fj6t1d7eSC/GzcNTq/9TwcqGnA/R/Iy6SHGrRmDAqqbCEIb0ChGUIzRvRP1CqEGAA3n5MXEyGNl9bvxnXPbsDZ81a3U++85NRcAMB73+7DoVrpREqrYQAkJ7B45U+DcePQ3lEZM3J8UfI8NATZTWOjN9Gg9VL4kiAI/ZAhQmjGaIMutZj9zIvzsXb6CLxy02B0TPHbM/koEtm4sLi0AmfPW43rnt2A21/fgnvf/062sVokZpZcHkBlTSNYhsFFUc6LUMrjiAVBP4IgrINCM4RmRO/GpCWbJXQnBZQSCJVc7D6WwVn9uuDBK0+RrHjwEqF5DhwH3Ppq+yojLf0M05J8SE9KCMsxyUxJQHV9s675HKhtwCWn5qpWoWSm+sFAyHdRo0NSAo42ys9DKY8jHgX9CIKQh+Fd3ImupqYGmZmZqK6uRkZGhtPTIVrQoyNi1fG9ilkp+5f/WIgEH9tqvHEcj+uf36jrGK9NHIKhfTu3ll4D0kbkwhsGYkT/7hgyd5XsnEUj4fO/n4evyquw/qdDABgMzssCyzA4VNeoKY9Dy1ysuJbEtgKUsEoQ0UXP+k2GCGEIu2/w4vG/3HEQCz7dadlxvcbk807A30a1qb0GOR5nz1utmvwrwjLAgusG4uJThUVdixEZLSPBCYPWyuMTBCEPGSJEzKB34Y01bh3eF38v6h/2mpyhIAeDcONBixEZrUXcLoNWTnjPamOKIAhpyBAhYgq5RcVplEqOGQCd0vyoqjNXOnvXxf0x8Zy+7V7XE74Swylrp4/Qtch7NawhGq9y58bo+SAIQjt61m+qmiFcj1h1k5WW6PRUwhCNEDnlz/suLVCsMtJCF5nKkaKCHKydPgKvTRyCyee1N1Qi5ynqcujBq2WzeoT3CIJwHjJECE9QVJCDDTPPR1aau8p7bzqrj2xZ8sWn5spqqGglW0FzQzQU+nVP13Qsr8ntG8WI8B5BEM5B5buEZ0hMYPHA5afglpb8CDcwMj8bd4aohkaGMGS7LGckoaGZU1Q9ldJkkYJ0OcKh80EQ3oIMEcJTFBXkYOr5/TB/1Y9OT6WdaqgcchoqK8sqLekSS7oc4dD5IAhvQaEZwnPcdn4/ZKY4b0OPPS1Hc96EVL6FVV1i1WT0Ae1GTSxA54MgvAVVzRCeI8jxWLB6Bx755AdH55GV5sc9l/wG2RnmKkqsqk4h3Yxw6HwQhHNQ+S4Rs7hVddUtC5xXS27tgs4HQTgDGSJETOJWPRGAhLIIgiBCIR0RIuYIcjzmrChzpRECtCWbzllRhqCWjnYEQRAEADJECI+gJlLlBkgoiyAIQj9kiBCeQKv4VNFvuiPZ7+xlTUJZBEEQ2iFDhPAEWsWnxg3Lwx/P6mPvZFQgoSyCIAjtkCFCeAJRpEqu3oFBm8AYyzhzWYfOgSAIgtAGGSKEJ9AjUqWkcmo3JJRFEAShDzJECM+gVYl0yPGd0TE1+s3x/nxOHpXuEgRB6IR0RAjPoUWkqri0IurN8XIyk7F2+gjyiBAEEfeQjggR00j1bYmkqCAHT90wENkZ0UscpdJdgiAI/ZAhQsQsRQU5+Ocl+VEd8+NtFVEdjyAIwuuQIULELEGOx73vl0V1zKWbfyFlVYIgCB2QIULELE6osdY2BCk8QxAEoQMyRIiYxSmF0y93HCSvCEEQhEbIECFiFqcUThd8uhNnz1uN4lLKFyEIglCDDBEiZlFTY7WTiuoGTFqymYwRgiAIFcgQIWIWJTXWaMADmLOijMI0BEEQCpAhQsQ0cmqsndMSozI+aYsQBEEok+D0BAjCbooKcnBBfnaYGuug3p1w7kOfRqWqprLGmaRZgiAIL0CGCBEXSDXDmzUmPyoy8FVHG20fgyAIwqtQaIaIW4oKcnDHyH62j5MVpTAQQRCEFyFDhIhrJo/oZ3s/mi4dkrB+52G8u2Uv1u88TMmrBEEQIVBohohrfCyD2WPzMaklRGOHiXD7G1tQVdfU+nt2RhKuK+yFPl3SZLsHEwRBxAsMz/OufTzT00aYIMxQXFqBOSvKoi4JDwA5mcmYNSYfRQU5UR+bIAjCDvSs3xSaIQgI+SJrp4+ISs5IJJUkfkYQRBxDhghBhPD6V3uiPqbokiTxM4Ig4hEyRAiiBSe69YrwIPEzgiDiEzJECKIFp7r1um0OBEEQ0YQMEYJowaluvW6bA0EQRDQhQ4QgWtDSrTc10WeLQBkDoXqmMC/L8mMTBEG4GTJECKIFpW69TMvPf645DfddWmDpuOJYs8bkk54IQRBxBxkiBBGCXLfe7MxkLLxhIC7Iz8a975dZOqZ4bNIRIQgiHiFlVYKIQKpbr6h+un7nYUsray4bkIurB/XEkIiGfARBEPECGSIEIYFUt17A+qqWd7bswztb9pG6KkEQcQuFZghCB3ZVtZC6KkEQ8QoZIgShA7GyxmpIXZUgiHiFDBGC0IGPZXDP6Hxbjk3qqgRBxCNkiBCETjrZoCMSCqmrEgQRT9huiDQ2NmLAgAFgGAZbtmyxeziCsB27DQVSVyUIIp6w3RD5xz/+gdzcXLuHIYioYaehkJ2RROqqBEHEFbYaIh9++CE+/vhjPPzww3YOQxBRxa6EVQC4rrAXqasSBBFX2GaI7N+/HxMnTsTLL7+M1NRUTfs0NjaipqYm7Icg3EaoFLzV9OqchvU7D+PdLXuxfudhqqAhCCLmsUXQjOd5jB8/HrfccgvOOOMM7Nq1S9N+c+fOxZw5c+yYEkFYSlFBDu4Y2Q+PfPKjpce9971tqKoLtP5OQmcEQcQ6ujwiM2bMAMMwij/bt2/H448/jtraWsycOVPXZGbOnInq6urWnz179ujanyCiyeQR/ZCdYW2IJtQIAUjojCCI2IfheV6z7/fgwYM4fPiw4jbHH388rrnmGqxYsQIM0xbrDgaD8Pl8uP766/Hiiy9qGq+mpgaZmZmorq5GRkaG1mkSRNQoLq3ApCWbAbSJklkNA6Ex3trpIyh/hCAIT6Bn/dZliGjl559/Dsvv2LdvH0aNGoWlS5di8ODB6NGjh6bjkCFCeIHi0grMWVFmaTM8KV6bOESy/w1BEITb0LN+25Ij0qtXr7DfO3ToAADo27evZiOEILxCZLfeXYfq8MgnP4JBuJck8ne9kNAZQRCxCHXfJQgLiOzWe1J2ejsvSXZmMgb07IgPSysNjUFCZwRBxCJRMUT69OkDGyJABOFaIr0k3dKTUZiXhUdWfq/7WGKOCAmdEQQRi5BHhCBsItJLAgBDj++CBZ/u1HwMMTV11ph8SlQlCCImoaZ3BBFFhvTtjI6pfs3bZ2cmY+ENA0lHhCCImIU8IgQRRXwsgwevOAW3tJT8SnHHyH7o0yWtNZxDnhCCIGIZMkQIIsoUFeTgqRsGYvbybaisaWx9PTsjCbPH/oa8HwRBxBVkiBCEA8gls5L3gyCIeIMMEYJwCKlkVoIgiHiDklUJgiAIgnAM8ogQhIMEOZ7CMwRBxDVkiBCEQ0j1qMnJTMasMfmUsEoQRNxAoRmCcACxa29ko7zK6gZMWrIZxaUVDs2MIAgiupAhQhBRJsjxmLOiTLIBnvjanBVlCHLUFoEgiNiHDBGCiDIl5VXtPCGh8AAqqhtQUl4VvUkRBEE4BBkiBBFlDtTKGyFGtiMIgvAyZIgQRJTplp5s6XYEQRBehgwRgogyhXlZyMlMhlyRLgOheqYwLyua0yIIgnAEMkQIIsr4WAazxuQDQDtjRPx91ph80hMhCCIuIEOEIBygqCAHC28YiOzM8PBLdmYyFt4wkHRECIKIG0jQjCAcghrfEQRBkCFCEI5Cje8Igoh3KDRDEARBEIRjkCFCEARBEIRjkCFCEARBEIRjkCFCEARBEIRjkCFCEARBEIRjkCFCEARBEIRjkCFCEARBEIRjkCFCEARBEIRjkCFCEARBEIRjuFpZled5AEBNTY3DMyEIgiAIQiviui2u40q42hCpra0FAPTs2dPhmRAEQRAEoZfa2lpkZmYqbsPwWswVh+A4Dvv27UN6ejoYxv5GYDU1NejZsyf27NmDjIwM28eLVeg8WgOdR2ug82gNdB6tIx7OJc/zqK2tRW5uLlhWOQvE1R4RlmXRo0ePqI+bkZERsxdHNKHzaA10Hq2BzqM10Hm0jlg/l2qeEBFKViUIgiAIwjHIECEIgiAIwjHIEAkhKSkJs2bNQlJSktNT8TR0Hq2BzqM10Hm0BjqP1kHnMhxXJ6sSBEEQBBHbkEeEIAiCIAjHIEOEIAiCIAjHIEOEIAiCIAjHIEOEIAiCIAjHIENEgl27duGmm25CXl4eUlJS0LdvX8yaNQtNTU1OT81z3H///Rg2bBhSU1PRsWNHp6fjKZ544gn06dMHycnJGDx4MEpKSpyekqdYs2YNxowZg9zcXDAMg3feecfpKXmSuXPn4swzz0R6ejq6deuGyy67DN9//73T0/IcCxcuxKmnntoqYjZ06FB8+OGHTk/LFZAhIsH27dvBcRyefvppbNu2DY888gieeuop3HnnnU5PzXM0NTXh6quvxqRJk5yeiqd44403MG3aNMyaNQubN2/GaaedhlGjRuHAgQNOT80z1NXV4bTTTsMTTzzh9FQ8zeeff45bb70VGzZswMqVKxEIBHDhhReirq7O6al5ih49euDBBx/Epk2b8PXXX2PEiBG49NJLsW3bNqen5jhUvquRhx56CAsXLsRPP/3k9FQ8yeLFizF16lQcOXLE6al4gsGDB+PMM8/EggULAAh9l3r27InbbrsNM2bMcHh23oNhGCxbtgyXXXaZ01PxPAcPHkS3bt3w+eef45xzznF6Op4mKysLDz30EG666Sanp+Io5BHRSHV1NbKyspyeBhEHNDU1YdOmTRg5cmTrayzLYuTIkVi/fr2DMyMI4V4IgO6HJggGg3j99ddRV1eHoUOHOj0dx3F10zu3sGPHDjz++ON4+OGHnZ4KEQccOnQIwWAQ3bt3D3u9e/fu2L59u0OzIgjBMzd16lScddZZKCgocHo6nmPr1q0YOnQoGhoa0KFDByxbtgz5+flOT8tx4sojMmPGDDAMo/gTeaPfu3cvioqKcPXVV2PixIkOzdxdGDmPBEF4n1tvvRWlpaV4/fXXnZ6KJznppJOwZcsWbNy4EZMmTcK4ceNQVlbm9LQcJ648In/9618xfvx4xW2OP/741v/v27cP5513HoYNG4ZnnnnG5tl5B73nkdBHly5d4PP5sH///rDX9+/fj+zsbIdmRcQ7kydPxnvvvYc1a9agR48eTk/HkyQmJuKEE04AAAwaNAhfffUVHn30UTz99NMOz8xZ4soQ6dq1K7p27app27179+K8887DoEGDsGjRIrBsXDmPFNFzHgn9JCYmYtCgQVi1alVrciXHcVi1ahUmT57s7OSIuIPnedx2221YtmwZPvvsM+Tl5Tk9pZiB4zg0NjY6PQ3HiStDRCt79+7F8OHD0bt3bzz88MM4ePBg69/oiVQfP//8M6qqqvDzzz8jGAxiy5YtAIATTjgBHTp0cHZyLmbatGkYN24czjjjDBQWFmL+/Pmoq6vDhAkTnJ6aZzh69Ch27NjR+nt5eTm2bNmCrKws9OrVy8GZeYtbb70Vr776Kt59912kp6ejsrISAJCZmYmUlBSHZ+cdZs6ciYsuugi9evVCbW0tXn31VXz22Wf46KOPnJ6a8/BEOxYtWsQDkPwh9DFu3DjJ8/jpp586PTXX8/jjj/O9evXiExMT+cLCQn7Dhg1OT8lTfPrpp5LX3rhx45yemqeQuxcuWrTI6al5ij/+8Y987969+cTERL5r1678+eefz3/88cdOT8sVkI4IQRAEQRCOQYkPBEEQBEE4BhkiBEEQBEE4BhkiBEEQBEE4BhkiBEEQBEE4BhkiBEEQBEE4BhkiBEEQBEE4BhkiBEEQBEE4BhkiBEEQBEE4BhkiBEEQBEE4BhkiBEEQBEE4BhkiBEEQBEE4BhkiBEEQBEE4xv8DWNl5Cp7dAzAAAAAASUVORK5CYII="
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 38
},
{
"metadata": {},
"cell_type": "markdown",
"source": [
"# Borderline-SMOTE SVM\n",
"Hien Nguyen, et al. suggest using an alternative of Borderline-SMOTE where an SVM algorithm is used instead of a KNN to identify misclassified examples on the decision boundary.\n",
"\n",
"Their approach is summarized in the 2009 paper titled “Borderline Over-sampling For Imbalanced Data Classification.” An SVM is used to locate the decision boundary defined by the support vectors and examples in the minority class that close to the support vectors become the focus for generating synthetic examples."
],
"id": "7ff5713734484107"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2024-06-03T19:56:20.448155Z",
"start_time": "2024-06-03T19:56:20.197638Z"
}
},
"cell_type": "code",
"source": [
"# X, y = make_classification(n_samples=n, n_features=2, n_redundant=0,\n",
"# n_clusters_per_class=1, weights=[r], flip_y=0,\n",
"# random_state=seed)\n",
"\n",
"# transform the dataset\n",
"oversample = SVMSMOTE()\n",
"X, y = oversample.fit_resample(X, y)\n",
"\n",
"# summarize the new class distribution\n",
"counter = Counter(y)\n",
"print(counter)\n",
"\n",
"# scatter plot of examples by class label\n",
"for label, _ in counter.items():\n",
" row_ix = where(y == label)[0]\n",
" pyplot.scatter(X[row_ix, 0], X[row_ix, 1], label=str(label))\n",
"pyplot.legend()\n",
"pyplot.show()"
],
"id": "5fa2a68b3e984afd",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Counter({0: 9500, 1: 9500})\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 34
},
{
"metadata": {},
"cell_type": "markdown",
"source": [
"# Adaptive Synthetic Sampling (ADASYN)\n",
"\n",
"Another approach involves generating synthetic samples inversely proportional to the density of the examples in the minority class.\n",
"\n",
"That is, generate more synthetic examples in regions of the feature space where the density of minority examples is low, and fewer or none where the density is high.\n",
"\n",
"This modification to SMOTE is referred to as the Adaptive Synthetic Sampling Method, or ADASYN, and was proposed to Haibo He, et al. in their 2008 paper named for the method titled “ADASYN: Adaptive Synthetic Sampling Approach For Imbalanced Learning.”\n",
"\n",
"The key idea of ADASYN algorithm is to use a density distribution as a criterion to automatically decide the number of synthetic samples that need to be generated for each minority data example.\n",
"\n",
"On problems where these low density examples might be outliers, the ADASYN approach may put too much attention on these areas of the feature space, which may result in worse model performance.\n",
"\n",
"It may help to remove outliers prior to applying the oversampling procedure, and this might be a helpful heuristic to use more generally."
],
"id": "bdeb203a6de18df7"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2024-06-03T19:56:20.674660Z",
"start_time": "2024-06-03T19:56:20.449696Z"
}
},
"cell_type": "code",
"source": [
"# X, y = make_classification(n_samples=n, n_features=2, n_redundant=0,\n",
"# n_clusters_per_class=1, weights=[r], flip_y=0,\n",
"# random_state=seed)\n",
"\n",
"# transform the dataset\n",
"oversample = ADASYN()\n",
"X, y = oversample.fit_resample(X, y)\n",
"\n",
"# summarize the new class distribution\n",
"counter = Counter(y)\n",
"print(counter)\n",
"\n",
"# scatter plot of examples by class label\n",
"for label, _ in counter.items():\n",
" row_ix = where(y == label)[0]\n",
" pyplot.scatter(X[row_ix, 0], X[row_ix, 1], label=str(label))\n",
"pyplot.legend()\n",
"pyplot.show()"
],
"id": "7740ca66baf5cc3e",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Counter({0: 9500, 1: 9500})\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 35
},
{
"metadata": {},
"cell_type": "markdown",
"source": [
"# SMOTE with \"sampling_strategy\"\n",
"We can update the example to first oversample the minority class to have 10 percent the number of examples of the majority class (e.g. about 1,000), then use random undersampling to reduce the number of examples in the majority class to have 50 percent more than the minority class (e.g. about 2,000).\n",
"\n",
"To implement this, we can specify the desired ratios as arguments to the SMOTE and RandomUnderSampler classes; for example:"
],
"id": "9f6048cd4e89a591"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2024-06-03T19:56:20.855613Z",
"start_time": "2024-06-03T19:56:20.676241Z"
}
},
"cell_type": "code",
"source": [
"X, y = make_classification(n_samples=n, n_features=2, n_redundant=0,\n",
" n_clusters_per_class=1, weights=[0.99], flip_y=0,\n",
" random_state=seed)\n",
"\n",
"# define pipeline\n",
"over = SMOTE(sampling_strategy=0.1)\n",
"under = RandomUnderSampler(sampling_strategy=0.5)\n",
"\n",
"steps = [('o', over), ('u', under)]\n",
"\n",
"# transform the dataset\n",
"pipeline = Pipeline(steps=steps)\n",
"X, y = pipeline.fit_resample(X, y)\n",
"\n",
"# summarize the new class distribution\n",
"counter = Counter(y)\n",
"print(counter)\n",
"\n",
"# scatter plot of examples by class label\n",
"for label, _ in counter.items():\n",
" row_ix = where(y == label)[0]\n",
" pyplot.scatter(X[row_ix, 0], X[row_ix, 1], label=str(label))\n",
"pyplot.legend()\n",
"pyplot.show()"
],
"id": "91ab91cc33addc24",
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Counter({0: 1980, 1: 990})\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 36
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
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"pygments_lexer": "ipython2",
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Code Quality & Organization

  • Clean Code: Write readable, maintainable code with meaningful names and clear structure

  • SOLID Principles: five fundamental principles of object-oriented programming and design that help reduce coupling, increase cohesion, and create more maintainable, flexible, and scalable software:

    1. S - Single Responsibility Principle (SRP)

      A class should have only one job or responsibility. Example: Instead of a User class that handles both user data and email sending, separate them into User and EmailService classes.

    2. O - Open/Closed Principle (OCP)

      Software entities should be open for extension but closed for modification. You should be able to add new functionality without changing existing code.

      How? Use interfaces and inheritance to add new payment methods without modifying existing payment processing code.

    3. L - Liskov Substitution Principle (LSP)

      Objects of a superclass should be replaceable with objects of a subclass without breaking the application.

      Example: If you have a Bird class, a Penguin subclass shouldn't break the application if it can't implement a fly() method that all birds are expected to have.

    4. I - Interface Segregation Principle (ISP)

      Clients should not be forced to depend on interfaces they don't use. Create specific, focused interfaces rather than large, monolithic ones.

      Example: Instead of one large Worker interface with methods like work(), eat(), and sleep(), create separate interfaces like Workable, Eatable, and Sleepable.

    5. D - Dependency Inversion Principle (DIP)

      High-level modules should not depend on low-level modules. Both should depend on abstractions (interfaces), not concrete implementations.

      Example: A PaymentProcessor should depend on a PaymentGateway interface, not directly on specific implementations like StripePayment or PayPalPayment.

  • DRY (Don't Repeat Yourself): Avoid code duplication

  • Code Reviews: Peer review process to catch bugs and improve code quality

Development Practices

  • Version Control: Use Git with meaningful commit messages and branching strategies
  • Test-Driven Development (TDD): Write tests before implementing features
  • Unit Testing: Comprehensive test coverage with automated testing
  • Documentation: Clear API docs, README files, and inline comments

Architecture & Design

  • Microservices Architecture: Break applications into small, independent services
  • Design Patterns: Use proven solutions for common problems
  • Separation of Concerns: Keep different functionalities isolated
  • API Design: RESTful APIs with consistent naming conventions

DevOps & Deployment

  • CI/CD Pipelines: Automated build, test, and deployment processes
  • Infrastructure as Code: Manage infrastructure through code
  • Containerization: Use Docker for consistent environments
  • Monitoring & Logging: Track application performance and errors

Project Management

  • Agile Methodologies: Iterative development with regular feedback
  • Code Standards: Consistent formatting and style guidelines
  • Security Best Practices: Input validation, authentication, encryption
  • Performance Optimization: Profiling and optimizing bottlenecks Agile Methodologies are iterative approaches to software development that emphasize flexibility, collaboration, and customer satisfaction. Here's a deep dive:

Core Agile Values (Agile Manifesto)

  • Individuals and interactions over processes and tools
  • Working software over comprehensive documentation
  • Customer collaboration over contract negotiation
  • Responding to change over following a plan

Popular Agile Frameworks

Scrum

  • Sprints: 1-4 week development cycles
  • Roles: Product Owner, Scrum Master, Development Team
  • Ceremonies: Sprint Planning, Daily Standups, Sprint Review, Retrospective
  • Artifacts: Product Backlog, Sprint Backlog, Increment

Kanban

  • Visual workflow management using boards
  • Continuous delivery without fixed iterations
  • Work-in-progress (WIP) limits
  • Focus on flow optimization

Extreme Programming (XP)

  • Pair programming and code reviews
  • Test-driven development (TDD)
  • Continuous integration
  • Simple design and refactoring

Key Agile Practices

Sprint Planning & Estimation

  • Story points for effort estimation
  • Planning poker for team consensus
  • Definition of Done criteria

Daily Communication

  • Stand-up meetings (What did you do? What will you do? Any blockers?)
  • Transparent progress tracking
  • Quick issue resolution

Continuous Improvement

  • Sprint retrospectives to identify improvements
  • Adapt processes based on team feedback
  • Metrics tracking (velocity, burndown charts)

Customer Involvement

  • Regular demos and feedback sessions
  • User stories written from customer perspective
  • Iterative requirement refinement
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