13.Stumpy.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/dist-packages/numba/errors.py:131: UserWarning: Insufficiently recent colorama version found. Numba requires colorama >= 0.3.9\n",
      "  warnings.warn(msg)\n"
     ]
    }
   ],
   "source": [
    "import stumpy\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "your_time_series = np.random.rand(10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "window_size = 50  # Approximately, how many data points might be found in a pattern"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "matrix_profile = stumpy.stump(your_time_series, m=window_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[7.1143350205544635, 9721, -1, 9721],\n",
       "       [6.986545058177549, 7499, -1, 7499],\n",
       "       [6.944597827188115, 9723, -1, 9723],\n",
       "       ...,\n",
       "       [6.710892569395549, 5152, 5152, -1],\n",
       "       [6.657900768649833, 6077, 6077, -1],\n",
       "       [6.304452897071461, 5154, 5154, -1]], dtype=object)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_profile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(9951, 4)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_profile.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GiMuIN+2ffOo5CMMAYdtN9yawNrHR/Ljf1OeAMHb+drjm72C2wR/y+sJ752YGmtSoRTrQK7HjLBvs65ez8+K5vuaBSUb0a5Hbbvp+WOl6h+et/7yBzoVP03CpJ13/PON537pXr4pfZjo4tm2g62N/oznvkUNnApdxdCxZ0mdamip0fPpp6EhpQs+WHaEjJZjK6eGZmw8kSjiEiwg+59C2qpWmmy4KmHzDwfuxev8xfcfS5WLX1T9kyw/PpOntNXS89mjAtAlHeBa2ATQviky/27lqPd9dej27F+pZDUU3DN791jehIyWITaedxMbzf+V/wmvkgCGItItggl63/B+cw3enn6GTr6Z2eOZpur9cHFMZEaOcJcfM8GefASBn1izyhmtzVXr3NUXutRIOYeIIw5/JzifedS+w0/HV1L3bhcvheeg9S96m8YXP6d7tHqJLh//IYedj7/iFRcreVx6j6/Pg+Th21LNq3H603KHTIHrRcuWxEZTs23huueACOhd/GEH68HFs/y6u+fU06atNhJdwCDTytweb1I0RZ4u7t+nq6GT34//Wj5QgtaezpSUh+Q5+JFnl7rnDjAkTqHv5JSpv+SN/Kcjn7IoynegSkSLNcmrUYqAJQ1A3f+K2eQ7lSG/VAQex5rBZIfOTDrtvQARrBSJhyxW3sPGc4Hr1XudhrW+9R/Off4UzgHVP/Uvf6WcgAvzux66/3x08QrSEsRCte0nsghYvtVKgzt3ex27Gse272MvSIZL1JIrEMOrkyFRSwiipmtnMvrfNBcA2ejSGrCwezs/la80NxpyHxnNDkWeRm3cnRBdlrZSiJOrBOB24enqwN+iPUJyN23B1tOmeix13S9e5rYsdD7xBV5Ml6pya39d8/UiJs3FbiBWo0VH/u9/Ts3RhRGk2/OBier7+OHTEIHjPORht+te14+G3abznvpjKCUgY7569fkfc58UUHkwBnnsgrPu3c1dZHtKq35v4aMnf2WaEf+fmuANCqZSSqHJSwgECfkwbj5xAwyW+20tIKeP08fWz4+/pZvvlv2HdYYfrxl5z6NFsmjMzHgX70/u+RWxPr+H0vyGuvXtZc+jRfusptsyNzzW0PRe5GxNH/abYCvUSDnl1gUeQ3a0JMgIMQzisP/po2rbZQsZTJJZRN8xi31Pque0IGw/n5/Jtvb/Lb4C/r/Cfa0xEhyoalHAIQle9nd2LIjONDEXrnZex9Vh/m+7mR/5J238D+08C6GpI0N4QMfZGupv90/c6afOm/ctVsdn5exNGQ7l13iHxKUvDYPU0+va2yPxJJZVohbwiZmyFPexz0b6YcmwYrZK9vWuBAhgptNDvPZISmSj3KxGihEMAZGeAlaQxqpW2//O/tG0EV5vvYq72HYOrt+c3pwLInvgJN+kMnVfbNwFW5EZJnxdaoHVjZlzzDosUWWOj8GXYUR7/ajWHNWEt1vuWwxfYFnNWHGoVO2oRnA6yq4NVB00OcJL4zKmmyNAREqPGlPbE7oDX+Grkpq5+ay8iZNMtz8WUPlYC9T4VA0tmSY97QVsvUvLehjfYkZMdeWZCYDCkRrOsRg4Awr0YrZeON58cwMoMBAmQDo7o1C6u7vTcVjUZ9G4QpBhY8ob7OsH71uJvwHFptuTm4sKIpyc3bv+cs//tu4fIx5//n2+kJA0glXDQ2H1zuH7b4zUhnUIk4C1wtO4NHUmHpkXB9z3WRanYFUmkYmoLpQe0Yirp4ec/MTK/qpx3MjM4rbI88GxBmMPzv618lA1G3wZm6Zb3I84nHqTG+CWdGJR63/i/cPamwDulxZ1+j8S+YwfGvDz9uMlAMPg6EAqMNvdoWBigaGw7C6cKdhS6556uKimiw2CgUwiygjz8ix6bzpHlMyIq9/62xLqLCYQSDuD/IQeTzlEIh7ZHbvULc2zdEHE+ABsO3h9TfuST1z1btwXeOGSQ9bzXHXEkGQcc4Bf+3WU3JKcCSjAMSkQwlylhsKN+GR/Kdj6sXxQwTr0xdT5GpVYCpEv6uEB27gy8rV/zJ5uQ3ZE5ydt6q78tc+szjwWpUOBT3budtK8P7JM/YB1+HnjP21gnaqNFRri9aEB0qt/5Vfz39FYMLaz5doxWJxklbnfuVTN9neUF/GoCdCB77KG/22+s+tvS9uJwOXDYkzMqVyMH3JuytHzq8Ye07S9P+5zfeurBXkeC7Z/mxFymdDgBfZv/hBilBLMeGqDOSsMdf4lPRqnWU1dqpUFB2UGtZJXFx1tyoA6Yd+hntuCCoZe97cnxKqtGDmHQ9m3k2xiGJGiDnLjWWnebzgRMcvWEscNi68svxa28gOtSFIowKRnv+22YMjwj2x1GIxeUl+K/eic4HV6r6kPt4HZzUWGEuScWJRyGDJL2zz5jzdRptDzZb7OTARo5OHfHSegKcDVt7futUERKyWU/J7fWo67Z57idWHM9wuGY2ioWZ9h4Jje41qB/87/Oy8w11DqVdkNqvbxKOAwUA6B26PzSvbVo/Y23+4QL4yB4DVJoUaFSKaUuVQfrd0gKf/QjLDlOCka1M+J4X8HgTafXKNv7jQunWZc6L8aWFJqA7s8gaBUUQ521Rx1Px3+fdR+k7remSAFya7oYdYpnz428fdoZc8Z2DNpEcPmkViw54RlK3FMQyFw6sb2DUOqpeKGEg2JQsPV2zYggFXrtSkClNCarZMzp2ym54HTKDtrjM+X2++JCTqssDyufFmNke3unm/sTJRwGjOS2IMnqbQw4Q+QyFZFTPsWzm50wQPGZJ2E0+74wL+Vks8oa/X4mwQn+cqZan0IJB4VCMSQoGNER+GSYnac3sjMZX1fL5/3MTn1S6+UVR4tAkSQXGko4KBSKtCCjuDvEefeahN5Fa7HQEaABXqtZH/2o3/7PHdq+DQLYuVd/EW3cNvFRcw6DG2dPcgeRwXobTe9F58pDEQBXqikIBge5w0KtDHY3ms5uT7NWODq4A8gPMmyMr6ulqWmdT/glZSVR1dEp4OhM/xGKe11k8EY9nCZfiuSpiNUK6QEiln2ao2HIzDkoBi8hXmGD5s3U1WOgbGIrGcU9WHMcWPPsWPP0PQQ8lpcLwJrv3ma6V/jnGdFtvuUIMnOQbhPSSjgoFIo0IfiIzGhzN76mLCeF+3pWzOfvkzwPwZvN+k3q1vYdXPPR5UHnHhpNqdUcx6RWEkL8UgjxrRDiGyHEv4QQNiFEnRBisRBirRDiGSGERYtr1Y7XaeeHe+VzlRa+WggxO1B5CoVCEQhzlpPyyS1UH5IAdzdhck4AM9jXDJ04krgXQzyIWjgIIaqAnwOTpZT7A0ZgPnAbcKeUchTQDJyvJTkfaJZSjgTu1OIhhBinpdsPmAPcI4SIzIBYERqlVVIMAvL3CexDq2jsXgpGdmDOiEZ9kz4fSLpYK5mADCGECcgE6oHvAb2b7T4KnKz9nqsdo50/Srivci7wtJSyW0q5EVgHTI2xXgqFYrAhoXxKK6Pn1fudGnnSjr41Cw1Go+7WnZGy3WTk7oI8GlPMvYx0pbi1kpRyG/BnYDNuodAKLAVapJS9sz9bgd4dZqqALVpahxa/yDtcJ41CoVAA0PJdBkKAwSSxDSsFYOSJOxk1dwfmTM9o4djqSuZX6at3flxewivZWQBs2PIJS4O4yf5JWSn35+fxvdrqOF5FbCRzfBOLWqkAd6+/DqgEsoBjdaL2Xo/eWEgGCdcr80IhxBIhxJLGxsbIK61QKNIWe5tnwrbm8pMZdUo95iwnxgwX9V6uLHqCeDf9LCODa0qKsANzV98XdB5gTxxHDOmjtPIQy9UfDWyUUjZKKe3AC8BMIF9TMwFUA9u131uBGgDtfB7Q5B2uk8YHKeV9UsrJUsrJJSXR2SEPWaQcpPtfK4YKdXM8HUJTbiYmq/t9fiYnm1m1VXxr0d88S4/uNJscHghiEQ6bgelCiExt7uAoYAXwLjBPi7MAeFn7/Yp2jHb+Hek2vn8FmK9ZM9UBo4D/xVAvhUIxiCgZv4ex87djyfbylurV0flCUw1tMocvHPp3kxK9Dii+oijFF8FJKRcLIZ4DvgAcwDLgPuA14GkhxE1a2INakgeBx4UQ63CPGOZr+XwrhHgWt2BxABdLKeO0ubCiDyHYdc89A10LhSJijNb4Lx7zFyQJdrOd0NwTQ0yrLqSU1wHX9QvegI61kZSyCzgtQD43AzfHUhdFaGSwfaQVihTDnO3AvtcUYHVzbM3tDcXJ3ZIzrsIhSZImtZbkKRKHmm9QpBkVk1uw5DgxZ4WnSFhis3Jce2DPq497bfG5MmFuufWJ29eXxKmS1DLgVSgUCmD4MY1klfeELRgA/p2bwx4vS6VbCgt8zj+SF3z/Z4UvSjgoFIqkklvbQdXMJiwlGX7nDCYXdbMbyCiyR5V3j5cV0lMpJAzS0TZKCQeFQpFcBOTWdmGw+HvJWTunk+UVYXjP8VKTeqts+ntFPby2iiZDdM1cPBWx6ajUVXMOQwU156AYAMacvp1Vz1b6hPV17rV3cvisRmwFdpBw+ohaII8Lm1v5aUsrL+VkcUpbO38uLKDBZOQvDbt6E/fl96a24hng9sJ8n7KajEbWW8wUdnUHb6AlfJnkeYhURwmHIULPxo0DXQVFP4w2J86uwetj0mB2IfQ67QZ3M52RvZMusjFZXW6B4dXpv68gj1yXiz8XFWBzSZ7spyK6bNlfaC0v5ZEdDT7hXwVxhxGMXfY2rg7gUTX1SPF1DgqFIjYyS3po2+Kvdx8MlE9uIbfWfx8FW2EPxePcu7OVHbjH7UU1wKTzn4vcE8oNJn8B+k5WZhxrC3ZXeph5u8VCenhlVSgUCj8KRnZgtLibsqqZnv0V6mbt6lvpLAxgzQ3dKCejKbxu/TN+Yc3GVB3VqZGDQjGoGSrufXJru9izuZOM4h4ATq0sxwg8u31HzHl397uHwZpNmZY2QwOHEg4KxYAxOI0Esiq6/MKqD2nu+70mjhO/k4fXxi0vhS9KraRQKOKGdexYag+P7zadsfb31XghOpRwUCgSSO6wwO4cBiUxtMSBlr2JwTnAip4k3Q8lHBSKBGLODOL+YYC6tFnl/mqfVOC9zMRZbl1RUsQuHaundEMq30oKhSJhJLCBMVdUho7kxVqzmcNqq9hlNATdlS1W3vBaKDcQpOPgRwkHhSKRpKLCO0RLVT65JaLsrHluhdDaCnh8ypqI0j6Zl0Oz0ciRtdUBq+V9C9dGsKGPIjaUcFAohhohhENGUU/Ac6PnbSe70qOWMlqdVB/axHcn7OWac038S9TzhdV/lXI4/o3C6V1/v7oijFiKeKCEg0KRQIJpSgZunUPwgq35DrKr/Fc3AxhMYM33TB2Xzt7FEeMqWLiPxzx1QWWZT5q3MzM4fFg1n4dwbRGP/d70BMxgm9B2uqLzWBspap2DQjHECOWDUQionNbCmhc8E8Q51Z0U7tsOQMn+bUiX4KqjbXyeUwXAwiDuLHr3eP7WYiHP2U8EeNclgMyKRIa2R+mBNdF8EsfJdocz8MgunqTmnVQoBgtp2m3tdX3RiznLSWapu1ESBrdfpM9zbGHlpfnZQwr4IEgjGY8VzB1hCgdjGnspTtYrpYSDQjHUiKJxyanRVzOFQ2+T7wzR+F9TUhR1GZGSvqKBpOkjlVpJoUggQb/jeH3jBgmu+DcY5ZNbsGQ7sOQ5MGe4eCk7i7E9PYzuiUznbdCaYt35gDCa6UQ0ha6h4tgqBtTIQaFIc0aeuDOi+OFqVApGdrj3cc5w8UGGjd+XFDGvKnxrIRfQ5tUICwamx/5+AhfXDWaUcFAoEkkSOqgGo/QxL42UcFZMX1xeGnG+9+TnMXN4DS1erq/7r/CN5vZcW1wYUfyH83OjKCWFSdJ8iRIOCsVQo18LXXtEE2Pnb8ec7d5bYXsYbiZCNU8u4L+aBZP3GodomrX+AuTFnOwoclFEihIOKYSlbJD1cBTJW8sQgQmLJcAGO1Uzmrl/toHZNW7z1D0GwRtZmXT2u4jTK8uZUBfcVXZjgI1yohMOaT19nLYo4ZBCGLOj2/9WkcrEr2GrnN6sfyKIABpxvP98RPmkVjJLu/3CM4rsLJzobhKaDQYOHlbDFaXF3Fjkq8ZZGcf9GNS0cGQox3tDlM6UD/wPAAAgAElEQVT1jQNdBUW8ifFjNlo9Xl3zhndSMn6Pf6Qg8sdg8j9pMEkqprj9JwmTi0dyc3i736TtV14uMDaZlVFjKtHZ3ZaUctRTVygGjNCjCku2k85uj4rGlKHjAlwSsEtpynBROb2ZjOIe1v/H49bCkuNk7PzttBgM3FFUjcUlWbppS995Zxx6qEoZlBg+alnJ1CSUo4SDQpFIkqAGkAQ3YMkb7ruArdlgoFsI8lwuemcfegy+Fd0ZYM4gGt71cq3RfxW0UitFjiNJN00JB4UigQT9jqP5yAOMEPKGddJeH9ydhcHsYmuF5PRh1e40Ticvba0PWbVoGiMBNBv9tdbeMuyTDBtBtkLy5KWGIAOCEg4KRSKJeQNk35ZRv50U5A7rJHdYJw1f5dK0ym3qWT7Jd1+G0afuYJ6XlVGr0dhnbhqMaHweSS1/vfBeflJeSk5/R3yKkKSFbyUhRL4Q4jkhxCohxEohxAwhRKEQYqEQYq32v0CLK4QQdwsh1gkhvhZCTPTKZ4EWf60QYkGsF6VQpA6RfclZZf0WpIXRLhtMLoRwm80Wj22j9MBWxpyxnYJRvvtXt+vY1d4S4YKycDmuWn9HuP53o01ndKEITDIHUbGOHO4C3pRSzhNCWIBM4GrgbSnlrUKIK4Ergd8CxwKjtL9pwL3ANCFEIXAdMBn3tS8VQrwipQxgt6dQpBExjhwEUDe7AanjO2nUKfUYLdJnLYXRKika0+4X1wFMH14TW2UioP8cRiyoeYmBIWqxLYTIBQ4DHgSQUvZIKVuAucCjWrRHgZO133OBx6Sbz4B8IUQFMBtYKKVs0gTCQmBOtPVSKFKJePjdsxU4yChyO7uzZPkuYAtnkd1mk4lTIvCJFEndkkEq1WUoEcuYbh+gEXhYCLFMCPGAECILKJNS1gNo/3udslQBW7zSb9XCAoUrFFFjyU3Obll6jDl9u+cgxpYtr85XNZRZ1kP55BaK92vz23MhEFeUFvGdJfTey/8JY/4hVpK5iEsRG7EIBxMwEbhXSnkQ0I5bhRQIvddCBgn3z0CIC4UQS4QQSxob1YIxRWAMxnQ1cfH9HHKqfecghHB7Sy0Z3xZ31xxLbOFt3pNslDwZGGIRDluBrVLKxdrxc7iFxU5NXYT2v8ErvrfSsxrYHiTcDynlfVLKyVLKySUlJTFUXTHoSZUWJWZrpYGpgneaeLrLSFeRnUok69WOWjhIKXcAW4QQo7Wgo4AVwCtAr8XRAuBl7fcrwA81q6XpQKumdnoLmCWEKNAsm2ZpYQpF2iOAqplNur6MAn3lVTObYiqzv3Fo2KaPSVqwFympIudTgiTejFitlS4FntQslTYA5+EWOM8KIc4HNgOnaXFfB44D1gEdWlyklE1CiBuBz7V4N0gpY/s6FIpUaVGEJLe2i73bw9xv2eIit7aLbZ9oySMsbrnFwllV5ZzXsodfNbdElMfzXq6wE3X71MghfYhJOEgpv8Rtgtqfo3TiSuDiAPk8BDwUS10UCm/i2biZMh04OpKzXrRisu/CtUgvZEmG22Hew/m5fcIhGhLRiN9VmM/JbXsTkLMiEagVKIrBSaqMHIIgdL4+o7VfszzIfEe8FMVGPYPrDqQPSjgoBin+TYoYAAumnJrAW3AW7+frejmvzn/xWtI2C+pf7sAUq0ghlG8lxeBEt3ULZDkdgmiN84XEaHYLJD2vqSZbYL9Co+fV4+gyIAzwQF4uZQ4HJ7Z3BIyvR7cAq4yuof86jhZKsaIEVT/SwbeSQpGqxLVBifZjjDCdNdfjo9Rgkliy3cd3FeZzdWlxxMVfW1wUTTUAeDmF9mlWaiUPybwXSjgoBidxlA4GS4SeQ6MoO7uyi8Ix8Z2sXZyii9oU6YESDgpFCKy5Dr+wjKKeuJZRc1jTgM0vpDo5LuXWeyBQwkGRshSOTk2zx8ppzVRM1dYQhDnJbbTqN3AV05qpmNbMTqORRf32ce7PerOJPxfmM76ullaD/qfrXRvR73+6Yg22zZ0iYSjhoEhZCkb5W++Ei8Gk06DotJL9N8QJRNFYj2WRrdDj1M+U4cSU6T+y6F9g6YQ9ftZJAPl1neTXdXJBeSm/LCvh9sJ8Wg2CxTYrW02+m+WcXF3Jo3m5APypMN8vLxdwZ2GBV+myXy0UivAZcsJhxAuPDHQVFGFiyXYiTNGpFPL28bfs0WskzdnhbFQJRq95B2uerzDIqQpsrtqLwQQl432Fw7cWM0/k5gD0eU19LC+Xm4oKuaCijGNrAjsnbtMZOfy636S1EgqDk2Q9V2XKqkhpDCaJM1DHPAjmjPAa/XDJquiGr/TPlR20h9yaLja9E9qiKKO4m/cqLdTU7OUX2h4LRU7furYHUBl5o9dALOrncnuwKGMGy3XEg2S6PFfCQTF0iOHDsuUHllDCAKbM4MLIBTiByqN3c0ddLeBR/1wRhZlqf/R2r2g1+O/hrFCEy5BTKykUgTBEqcICtwost7aDYUd79hnxNk29qaiAiXW1uMIwSfowxMR0f5oMBibW1fqF927VaVf6JUUUqJGDQqGRW9tJy4asqNNXzfRMbo+d77slyb+1uYV44d3e15sCjxDuz8vFoqx9FFGghINiSCMMyW04E1Na4KHB3TpWTemGEm0Dg1IrKYY0maWexWzJaITiVYYM8FuhiBdKOCiGNN5TABkFetO68eWf+blxyeedrEyaNasmJRyGFsny4q6Eg2LQMWruDv0TISZm80cG93o67KhdjDhhJwAGs3vyOrsi+BqHTSYTHV4S6KH8vOCViIDriwuB5Jo3DgRf2KwDXYUhyZCbcxB6O6woBhWmDBf2dv9J2kBtaMmEPXTstLhHEUIGbG0zSzwqKHOmixHH78Sc5TZh3WE0YpOS/H5+gE6oqWRiV+hFctHwfoRWTenKE3nxGW0pImPICQfFUEZ/PF48bi+Mc/8WQn/vBT0sOZ61DcfUVnFEewd/a9jlF++LBHpHfSszgwxljaRIAEo4KAYnep3/MNQvwiCRruj0NO/1W6GcaBxCcHlZCWYlHNKeGWTwKZ0DXQ0flI5FMTiJsr0sGhebJ9gflZfGlL4/3WHIKbvy9Z32/POczwa6Cn4o4aBIG5KxB3TRmL1UH7rbJ8wWgRXT5xkeFdLPykpiro9U7vOGBCIMf1rJRqmVFGlD5bRmtn1SmNAyhAFyqrrJLO2mfFIrLofAVmBnsc3KTpOJk/aG70b8ozhMGL+VZFWVIrVR24QqFL14fQ25teFb/eh+RBF0wod9bzfWPAcZRXaEAS6oKOOakiJ6p6AvKC9lgznxfavflRQlvAyFQg8lHBRDipyaTkrG74k6/duZGcwYVs3iDBtzqyvjWDOFIrVQaiXFkKL6mp/Ce7dgznL2LWSLhF+HMY+wzWSkyhHf/SQUimSjRg6KQYn3Wseqg5sAqD6kqS8sb3gnOVXdcSlrqdV3Be96s5meAHEVinRBjRwUgxJbgZ3Mkm5KJrSRWdJDbj8X2t58brPSJQSHdka+ktkOnFtZ5hc+SWd/BYUiHiTLt5ISDoq0oHi/ttCRvBAChh21O3RE4EcV7sZ9+cbNAKy2mMl1uqhwhlYNOdUaA0USUduEKtKLIP6I4kXBqPBNSGNlnra38383b6PE6Qz6keh14tR6ZcVgQM05KNKayBfGhS/EZtVW8Xhe5Du4PRBHz6sKxUARs3AQQhiFEMuEEP/RjuuEEIuFEGuFEM8IISxauFU7XqedH+6Vx1Va+GohxOxY66RITzJKIp8gjudObs/mZPNWv4VrfyksCJpGr/Qvk+xiusLhSGp5iqFBPEYOlwErvY5vA+6UUo4CmoHztfDzgWYp5UjgTi0eQohxwHxgP2AOcI8QIvCmuIohQfH+4a1FEBHMzrUYDHTLwPMINxYXcnk/U9XCMOYdFIrBSEzCQQhRDRwPPKAdC+B7wHNalEeBk7Xfc7VjtPNHafHnAk9LKbullBuBdcDUWOoVvNJKk5YOFIfpAC+7MvzRxqHDqvnRjoUR1cOSBh5P601q6nAokaw56Vhbyr8CVwC9q4mKgBYpZe84dytQpf2uArYAaOdbtfh94TppfBBCXCiEWCKEWNLY2Bhj1RWpRqQvfdG4NiqmtviEhZq4/rrHs9+CHRgfwuRU2SIphipRCwchxAlAg5RyqXewTlQZ4lywNL6BUt4npZwspZxcUhK7x0tFelM6oc1vIGjN9/egut1k5OBa//7G19bQcwONRiNbVM9cMQSJZeRwMHCSEOI74Gnc6qS/AvlCiN6vqRroXX20FagB0M7nAU3e4TppFIOE3Nrg+zP7EUGX3ZzlmZD96QH5dAnBarOZVzWPpq9nZbHH6D+NFY71rUMIjqsJ7EMp9ZVOCkV0RC0cpJRXSSmrpZTDcU8ovyOlPBt4F5inRVsAvKz9fkU7Rjv/jpRSauHzNWumOmAU8L9o66VITSy5ibOoGXliA2Pnb+fS38CKEhOP5uUwr7qCq0uLg6ZTDbtCEZhEzM7+FviVEGId7jmFB7XwB4EiLfxXwJUAUspvgWeBFcCbwMVSBjEpUaQ1ecN9RxAGi5fzuxgV/Ds19c+DXhvS7zH4Z+oAllsssRWmoQSMYrASF2WqlPI94D3t9wZ0rI2klF3AaQHS3wzcHI+6KHwpn9LCjs/zB7oaHvqZnpqsTsoPbmLzu8F7+b2UHthKw5d5FO/XRocQdApBkcvlIwQ6vXbVmlNdRZvRtw90R2E+T+Tlcvnu5hguRKEYIJRvJUU8iGQdwEBhK7STUdxNyYQ9bFoU3NCgaEw7RWPcFklnl5ex1WxiWmcXb2Rn6cbvLxgAPtQWujWa1HIaRXqhfCspBjXmTAf2DverZ8l1YDRLhh8dnpM8b77WViIHEgyB6NVZpr7YVCgGDrUiTJEUsiu7MVqdFI72rEMoPbCVymm+6xSKxup7X/17fq5ueDS44rh6QQkYxWBFCQdFUjDZnOx7yk5s+Y6+BjWnugujxbd5Ld6/jX1PqafXE3btkbv5zxTBA+U5dMbJPbZTy0Y17ApFYJRaabCTwkt89dp6gxHw8rT6bZmRxw5yzw3EqzHvtY9apK2DiIVk6oAVimSiRg6KlGSVxcz4ulqfXdaW2qx0CsH1RQX4r4P2IEL4Q+rdoEf5JFKkI8nqj6ivYwiTO6yDPZti7z0ngjd0evXXFRfSZDTiFIImnRXP4eIKHUWhSEmSqQpVI4dBjgAKR+t7ODVnpu5aQ6nTP2o0mfp6/RvM5qjzbolBsCgUQwUlHAY7IrlbbAbClOHpr5dOcFskGW3RC6dguv5kTgNsU6opxSBl6L3ZOu4UFIExZzuw79V/TSqmNZNf18nKZ9x7LltyHJgynXTs9PV2WjmjyWfyOW94J3nDOxNW52Q+4Z+XKe/AisGJGjkoosZg9tWAVs1sYtiRvovZRs+rJ29YV8R5x6JbTaZeVpnDKgYrSjgooianyt3oC6NvE1kxrRmTzcmok3dgMEXefC7KzGClNbhjvFRplJ2pbCusUMTA0FMrKTxE0cIKo2T0vHofNVHJ/m20bbX1ueXOr+skvy642qhDCJxAjo7Z6S9jVNW44rRYLhx2Kf9MiiSjTFkV8SHGN8m7nR150g5MGS6/xWvezvDC5YjaKjoNBv69rZ4xPcFWLSgUij6SOFBVaqUhTK+5qDC6MJhCW/+bM/0FQyiWWS0cVlvl41Lbjset9mlVFXRF0dNPFbWSQjFYUcJh0BNeM5pX596EJ294B/sc20DFVN+9DszZ0e3k9veCfJqNRr6xuC2YuoRgYl2tT5wpw2v0kgZFCQeFIrEotdIgJ1in3GCU5FR3UjCynYziHnKqu8gs7XGn8doHoubw3djyo1P9LM6wAfCVzcLMri7+Z7OGSKFQKFIBJRyGMNZ8OyXjPS6ys8p6dONlV3THXNYuo5HFNisXl5fGnJdCoUg8Sq2UQlhykjcxWzh6L7k1gdcfmDNcWHLtlIzfE3HedmCt2e04r9ThVkdN7Ormgoqy4AkjQM+9hkIxJFDbhA5BEtHeBcjTmht8DsFglow4rjGqIr3nFBo09xJXloa3R7RCoQiMcryXSFwDP5VZc1iALTEHvmoDRpsQQd1wKxSK5DL0hEMSKT/3aN1wW5G+bj9RRsxJXBMWNTOH1/B/BXkDXQ2FQqGhhEMCMeSkQGOXBoKhl4fyw79fQ3iQpVAkBSUcEomMbFuZEBuYRYXA7Ro7syR2i6NUYrtZTZcpFIlk6AmHZLrsjrS1j1E4BNrUx2CEYUft7lvoBvisY4gXEmg1xPZKfaCti1AoFPoo30qDANlPONTNacCa58DZE93jrT1yF5vfjdDqx0sI2Ap7aN2YmG1B/5WTzR+LC2POR62DUCgCE2yTq3gz9EYOA2itZMt3IET0kl/4Pa3kXstGs4lflBZTr7PNZjwEg0KhSB2GnnBIJgHUSoGa9P6b54SiYN/kbv95UnUlb2dlMqu2qi9sl8EQsypJoVCkHkqtlEgCzjn4jx2KxrWRWdrDlveKoi9PZ0iSUZTY1QNHDqtOaP4KhWJgUF2+RBLBhHTphDZMVmffcd7wjiCx3QRbv1A5rZnR8+ox2TwWUyZrcOupDWYT4+tq+VJnF7YdOqokhSIcLIkww1MkHCUcEonL0xgXjvGyJOr9VoJYDPXfelMY/Rt2oy1wY59X1+m3RWeOly8lo5eg+MJqxQW8m5kBwDmV5QA4gd7lesd4qZIUikhIgGHckCZZ9zNq4SCEqBFCvCuEWCmE+FYIcZkWXiiEWCiEWKv9L9DChRDibiHEOiHE10KIiV55LdDirxVCLIj9slIDb2slW4G/esdo8W3cZQBTBEuOgzGn7fALz6l0N/a5tcG35OxFCPf+zlkVXfx0Uj7j62r5W34eCyrLOKCu1mc/5PcyMji/vJRJdbV8v6rcL68VFnNYZSoUivQklpGDA/i1lHIsMB24WAgxDrgSeFtKOQp4WzsGOBYYpf1dCNwLbmECXAdMA6YC1/UKlIQQ4cK0ZJYlAnQJLLn+giWnuhNrnoOx87eTO8ytgrLqxOtPfl0nVYc38XWGe1+F+7xcVuzyUh1dWl7CUm3NwVqLv5rpa6val0GhGMxEPSEtpawH6rXfbUKIlUAVMBc4Qov2KPAe8Fst/DHp7k5/JoTIF0JUaHEXSimbAIQQC4E5wL+irVvweidTOEQ2/rPmhb/bWuX0lr7f2ZXdDDu6kYwiO067Afve4PMDge5ATwQLBJWmQKEY3MRlzkEIMRw4CFgMlGmCo1eA9K5qqgK2eCXbqoUFCtcr50IhxBIhxJLGxujcSSfER0UADJlZfb+zK7z2TghQBf91DG4sWe6J6l41VN4+7T7zCUJAZrEdIaBodDvlkyLfgwHgE7U6WZGi/HDcDwe6CkOOmIWDECIbeB74hZQyWKuk1y2VQcL9A6W8T0o5WUo5uaSkJPLKgs8kcSzkVAfX8+cdVErO2b/oOzZaPJfU9yvMjnrpAe7bas1zUHvELsontYaVrtlg4KdlJTT1W4cQSDzWm8IfSLar9Q0KxaAmpq9bCGHGLRielFK+oAXv1NRFaP8btPCtgPdO8tXA9iDhiSFOI4fyKS264cLgzl/YbBgK4uMKQnhpibLKezCEsCrdZTRwbHUFvy8p4uPMDP6Vm8NOo5HxdbV8mGFjaxyc1t1VmM8hao2DQjFoicVaSQAPAiullH/xOvUK0GtxtAB42Sv8h5rV0nSgVVM7vQXMEkIUaBPRs7SwxJDgOYfcA3ste6ITQnn7uFc9548Ivc4hEMusVraazbyvmaYCHK2Zol5UXsrc6sqo81akBsXWoeWuRKST7/kIqXKGjtNLMn0rxdKFPBg4B1guhPhSC7sauBV4VghxPrAZOE079zpwHLAO6ADOA5BSNgkhbgQ+1+Ld0Ds5nRASPecQ4846lVNbqZwantpIj3YheDwvJ6Y6KFIfsyF9nBsks0FLNx6ccBl1VTMGuhq6xGKt9BGBteZH6cSXwMUB8noIeCjauqQUvcIhmBDSTsXjm+kSgvPLS8mQkgd2NHBbUQHLbL4Ty8qyaPAxLKea+s6G0BHjzMEuCx8bAu1kqIiUqQddMNBVCMiQm1GUifbKGsnIIQ7SYcrwGr62WVmsWRq16EwSf6askFKeS3PGRRT/2oN+maCaBKd2iKmzhjJDTjgEtvKPD5aqirjllVPdSUbA/ab9eS0rE4eOcOpI5gZHiqiYUntkRPEzTAMl8CPvXCn3GelJ+igu40WCRw7GfG1xd7BiwqxC9V/vgOd+5BO2zGrh/Ioy7DpC4MpS/Y2A9FY4K9IbMRT7dYqkMvTesGSukA5I5D35TSYTnULww8pyXcGgSHfS5JkqD6sDTso73ktb4vRyx+VTFpLsyq5gEQDYbDJxQk0ljygrJEWK8vTUP/CPcT9JWP5CdYiA5BqXDD21UqJHDhG+xDWHhbba3Wlyr3rzXregGFxE2viJFFudbhBGDp5yCaz4p9+5eDTrRqH2E0k2qfWGJYGEWyuFU4dwq6A1GHbt81LuKgYxgRxrpRiBGnoRpP6xfnGnjDyF8/Y/L8ZcFJGiRg4JKyf0J6H3oTkAhxDYtPTbTUZeyHE78NtqVnsoKNwM5hXD/bnh4BsAMCOwq1U7SSM9uivxxBXBWvVgBO5ChU6q7fJmzvavyyVlJUwZXkO3gFlf38Hsmireys7yi6dQDAz6jbNUjbYu9868eaCrEDVDTzhEOCG9z1P3UDr/kKBxrHmhN9nxxpzhouq8KVQf7J5vWGM285ImAD7W5hUmD6+lvid6NxqKNCNdJlwHUAakyR3yYUrN4XHPM1n3YQgKh8jUSpYDD8c6dkLQOKUH6nkqD/4V5Z7xE4xWd5xTNQ+q3en49isGhGA6/kTSHWARaTA1V7xea/V5kNSbMOSEQ6gJaXMU1qLZFd2egzB7gB2uHj9hMHl4beSFKwYFwRrXEXHShMaDrig8DMRrsJGOwmGghHg8SN+aR03wl3v48y8z5rP3Yi4llPZq2oc/53jlOlsRBiMs+dx7wC98wrIySxnpSr5550AuIU1H4ZDODD3hEGTkMHbVSky1+yL6b4YTZDRgyujXrevXU6i7/zYqpjbrpt1pMilVksJNiBFnWcFIn2OzNYt/nfNZImuki4xiEWlx3Hx2p9/Hks5uTtK35tESaM7BEPlLXze7gbrZvntZ91/MZDv0JPIP8vg8ajUIPvFyqa1USQoAQuzPMGqY/8SmzWTjZ5mjElUjXZxRKIl+Pz7yldM5OsWkn2hIb4accDBWDItbXrYCByabr7DJnHMatlIThRdeRpejiyU7lvicv7pmBD+piM/2oYrBQ0VtYIu4YPMRF532QsBziSAak9UsW0HEaepEarmZL3U4BroKHpRvpcRgGTctsfnvN526D5ZjO/QkbvzsRs576zy+MsKCilI2mUwsz8hMaPmK9MQgAo8cDiyKbK+HRJKsOQc9cRjuyMESgerrQBnewtL9LVHuYxFnd/nJtCQecsIhUdT85lSqrjgHgN2du3l53cu8sv4VAH6QJ/jCZuOEmkqau1sGspopT+VQ3UwmyJzD2bPvSWJFguMK0DwFtcqJYg2HUUcUhJvLlK7g645+dcBFfb8vGPODsPIcSGe0xc6BKXzouc+IBq83w5wnsLfKvlXOvWTP+ymtthxu//x2HlvxWLJrOGhQ62x9qXamlpO9gRw5xCvxvH1O4i9fuQWuSLBDP6Mh9r1Ujsys5t/d2+JQm8hInbcuTSi7+FxGz9uOod879U3zag55+hAlGGIkUM9UkRq4+nWhLVpLnJlRFDhRFI9Ur2E6IjM+xhsWS7annASvQzAYTSw76/OElpEohqRwMNr831ajt+ox2DDYYNQ1LDnz/V/4ByoiJhpTyUTyuwMuHdDyE2Whc0bWiKjS5dvyfY4/OeNDHhh/KTU1M+JRrT70GqYbTn6GwzOqQqYNdc+stry+32P2OYa8CD01/+eI6NV8Lx5yB+dk7hNxupPNZVGXGS1DUjjoUf3Hqwa6CgPGqaNOHegq9OEa0GVW/pQUjgwdKQ2JZn+E945/notnXucTZrXlMW3ihSHTPjTp6ojKMug08WZzJv93+psB05xkLtXShk9x8Rg+Ou+biOo2bNihEcX3no8ZOWIWWabIjVKuOvlpTrW496dXvpWSSM7+hWQevyDgeWO+Z52Cbar/RvAzhlUnpF7J4g8z/xD0/Pn7n5+cipB6u1AW2qKbID/ckBtR/EATuolqCIxRTBIXFe+L1RKFfxkBJp15kycP+VPAJNE0TPnm7NCR0pTMzGJKbEXEbT1hGAxp4WAwa66zy4qDxrMdcwY5+xVS85erMe87EQm8m5nB+xluW+y9KTRhmAgKorBTj5ZUc/18YOmBUaW7fMLPdMMvEJEJmypjYnb/07MGSjbDaw7m6Nqjdc+Nzk5uh+vvYy7g7PJDeO7E53TPx9kiNSKmVs4E3IseAUaYkrNd8OBu1UKQO6kGAENW8P0ShMHA89eczozGP3H3F3dzcG01Py8r4ZLyUo6uSY5/pGJHYr2vXTbxMk7f9/SElhEOqTghnWfNCx0pTC774fthx/1d+ZH85fsvx61sb7wX1pU4JUVe5pKfnOKrujk/fzx/POSPca9DriU34PaoF5/wSMT59V5BTWZ5X9jyBcvDSnvYtMu4cva9jC4crXv+x1N+HXF9qrRPtndUeJK5JOI8bhl2MnMOu9YnTKmVUowHlj8AwP3L76fN6LltO03JsQa2JljfcsH4C6LuJceTVJuQBlg0bxFlmWX899T/JrXcM2bfTXZORULy9lYrLVrwJe8s+LLvOCfXd9J3oq2ME0ecCEB+QV1U5WVGOPq0WHN4/uA/sXBW5NZ/FYWjefuIe/ny7KURp9XjWJnJfmO+H3b8K4pn8H1LOa+e7fZ9ZTCaeHvOv7juVLegD7dxL3NKTjjixkirGzfUOocQXPbuZUwoPUpTCZYAAA/tSURBVGCgqzFkSNTIYeGhf+WYD6OzKLOZbCw6bVGca9QPIZhmLmKxfXdM2ezvMvKNIfQo03vC12AM3gx4N2Zmc3Qr/PetOwY+DB7n+dmPMix/BHZ7hzvNyGN145mlxB5izqR0WPANuu7f/xKGVUwOXiHgB617+O3Pwxt99JJhzuL6Mxf61qdsf8/v7ArY8w35IaykMvv13T0q1+SMHYbkyCHnILd/JYPVqnteSsnaC1o5/SoT7259j7u+uCuZ1dNlTxLmNWLR90+rmMaDsx6MSy16mbfvPH4yIXKnbXrWV+X7HEWRTd8WP9pJ52BUjfs+p1rKubYu/B7nA2e9F3O5hQb9d7o/etZAgagbMSfsuItPe5fFp73bd3wwmYwbdWJA9ZE3GeZsrLa8kKOlz878lPOyYrMimz7pJ1RUTgoZL5qvLtS1Hn/w75hlzOf5456OInelVkoo5f94mVGL/oPI9J3s67B3MP7R8Ux47giuKQmyqCeODA/TXYS3KitSLjnwkpC9FIhNpZNhymBqxVTuPvLuqPMAKMv02HNfN+M6LjnokojzuHbGtbrhL859kRdPejHqugFcPvnysOKZzZn84cyF7F82Maz4vXMAhdpg/qIcf39K7x3/PAC/LJwSMp9QzD/8prDiLf3BUqpHzg4rLritajIzPQYe/1iwGIs1vAnUcDsnFmsOF5/wCFeVHeYTPrFiOgCj4jjSL6ie3ve715Q0NMGfQUZmIXf84EOf0URYuSRZ5TokhYOw2jBVj8CY4zY3NGbnsHnPZk586cSk1+XV+eFPUIbLcyc+x68neSbQbCYbr5/+rk+cCSX+W58G+ji9G5xDs+sY6fJ/ba6feT0Ah0e5Z+77J77Iy4fdRVFm4MU++WHa8RmEgb8e+Ve/8AJbASMLRnLVVN81LSUZ4U8ULtgvsMnzPYfcBsC7x+r3CH8ywj2ieeTAwAKmUHPAd1SNv8l0UfG+LF+wnB+d+FDA9IHu0I8LPULqk1MXUVQY3iI4izGw+4cv5id/P4lerLY8zprzdyZ1dvWFHTXzt7x25L3MnHKxT9yf5O6HKcqGNTfHYzV17emvs3T+J7rxFmSN5LJC90hkzvTwOhCpTsoIByHEHCHEaiHEOiHElckos/Dqv8Hpkziy5mOOf/F4Gjoawk77++m/T2DNIufQKs/CnNGFozl3/3P7jgttheRkeRrA945/jvuPuR+AujzPBKPeyKEqu4pj6zy630uOuJUXz/vKL16vaibcnqs3U8qnUFg4kn3qvqe7CO4AQzYTySCrn3C4qMpjBnlEzRE+546qPYqXD/srl9v2YelZ//M5d6TW8BbZivjVpF9x5xF38pB2PwBKonTPPKFof5YvWE5x6X59YTYvS6dLDvkDAJMO0BMw7muritVMMYBKo9CUwSiXkSqXICdbXwD/sXYutw0PXw1mtga38oucyBvwv53tmcgQBgO1Oq7PL577FMvOjWyhG0CBSzJjjEdFaTCadEdBbx3zMJfPe5ELTnyE5QuWk5UgI4JjJ12MAGqLxiYk//6khHAQbu9XfweOBcYBZwohEu6n2G42cfqIr3BFYcQ8vni8z/F10/VVGeHw7AnPRhT/hH1O8Dn+39n/4ycHuHXzRq8GPltbFHRIle8HI4Qg05zJ8gXLeeXkV/rC9UYOb576JiWZJVRopo7jQriPDqVvzXC5OF74fmBzhnt02k6X/2TqYz/4mEcX/I9xBrca8I7xl/DFmZ/xs6Pv7ItzUOlBfun2qTuKBWe8jMXsqz70ruN5+59HTW4NUyo96oNfjTwt6DUEROc9qht+BJdWHMmrxz7pE/70CU9zzbRr/OJfevB1zLWUsc+E8LyF9ieYcH543mu8cPo7Ac+feORNHHf49VGVGwkTSib4fT8QXcciJ6c8ZJxoHRd+cN431NTMjCptIqiqmkpldhXZWclxpZESwgGYCqyTUm6QUvYATwNzE1XYhpYNjH90PJOeCD0hFYixRWN57ZTX+PCMD1m+YDkFUUxq9rowGBugJ/DMCc9gEAafCdYqp+TaGddiMXicQWWYMsgwuRtA7wf6wKwHOHXUqeRbff3hBPoIXYF2yQMeP/4p3j8pPJv7kfnuycIzRp8B+K4TWDRvITfO91j+HFJ1CMfVHdd3nKOzArfXOdqZE37MwSKLg8ecitni22s9a8xZYdXNO7+qbF+TzbMz3IYK2dY8Zg+frStwAB4/9nGf4x9n1PG99g5ysvR7jBfOupvhpb5qvP2K9mP+mPl+cUcPO5ybzlyEyRrdat99czzO6Zads4yf5br12lnmHPJyqsjM8swHHF59OFdMuSLiMn496dfMGjYraJwJLhP7Sn0rqAdmPcAjcx6JuNxAzDWXcYoldINpi9CHUjDm22rilleqIlLBrlwIMQ+YI6W8QDs+B5gmpQw4Gzl58mS5ZMmSQKd1cbgcHHj/iQjbVp/wzm1nklH1L7/4mbumsse6B1POqr4we+tBdDfMRjp8G1xEDxlVT+HsqqGnaQa2yuewN08ls/YRpMuEMLhVFXvXXol0ZiCMnUhHLp7m3AUIMuvuxmirx+I0sXvNTSC6QZrJqHkIk6EH+5az6HK5y67I+ZideyfjklYMlp1kjbiT2h4H367/s+71n1L7c1ZZzKxedxsuHStmg3UbWfv8DXvbWMw5K2nf8Atc3fo9s5yxbs2fkAIpJG0rb/U668Jc8Cn21oPIGX0Drp5CJu01s6xwZ1+8OtsXNDvKaXF4FhEKAQZTK5kjb6Fj42XIbv3GVuKZm7NV/Btz/lLaVt6KOf8zzLnf0LXlAt103jkY8xfj3DsGtOcoAZtoZ2L+c3zafA4ySL9JmHeRNcJzj9vXXo10RuYuo5fsMe772LXmdzhc0QkEY/a3CGM7I3vsrOmciqXmMUxZa9m76lYsopMpBU/xadMC3WcO+vMU5pI3EMJOT8NJUdXJItpxSjNOPHMWBw27hg6jg9UbbusLMxV8iLXsNQCc635JlyO+vWLvUeL+mQvJsuxgccs5QdNkjv4tFXbJ+g2B3XsATKn+Pd9m9WBYewV7XbEbsOTsewVOIbC6JN0GwYS2TD7b7uvL6sE3b6Kso5mxq1ZGVYYQYqmUMrQNL6kjHE4DZvcTDlOllJf2i3chcCFAbW3tpE2bNkVc1in/vph1HR9gEVmMyDycfFMVY7Lcao1OZwsO2c0u+zqG2aZjEEZ22zewo/tbxmTNYa+zkVxjRVhmeb10OfdgMljpcXXglN3kmEIPg6NBShebmh6mJmMmxszodZJ2VxdmQ+gtGpvtmzELG9mm4Fuertj7GjW2yeSYQn/0kbyLAnT1606XC4EI6FhXSk8yAfR2JoXwPddXRoB6ftP+ChIXNdZJFJijdyVt3PlPTN1b6a6N32Inp7TjkN1YDaGFTTK/fulsA0wIL5cgUkoaGv+P77o+YVqtfwctpvISfHHSZUfY68EaH1fijt1P43Q2Y82cxMrmvzGm6gFEP9PkYR++TmH9dxz1YHTm9ekoHGYAf5BSztaOrwKQUt4SKE00IweFQqEYykQiHFJlzuFzYJQQok4IYQHmA6+ESKNQKBSKBJES7jOklA4hxCXAW4AReEhK+e0AV0uhUCiGLCkhHACklK8Drw90PRQKhUKROmolhUKhUKQQSjgoFAqFwg8lHBQKhULhhxIOCoVCofBDCQeFQqFQ+JESi+CiQQjRCES+RNpNMbArjtVJB9Q1Dw2G4jXD0LzuaK55mJQyLB/1aSscYkEIsSTcVYKDBXXNQ4OheM0wNK870des1EoKhUKh8EMJB4VCoVD4MVSFw30DXYEBQF3z0GAoXjMMzetO6DUPyTkHhUKhUARnqI4cFAqFQhGEISUchBBzhBCrhRDrhBBXDnR9YkEIUSOEeFcIsVII8a0Q4jItvFAIsVAIsVb7X6CFCyHE3dq1fy2EmOiV1wIt/lohxIKBuqZwEUIYhRDLhBD/0Y7rhBCLtfo/o7l9Rwhh1Y7XaeeHe+VxlRa+Wggxe2CuJHyEEPlCiOeEEKu0Zz5jsD9rIcQvtXf7GyHEv4QQtsH2rIUQDwkhGoQQ33iFxe25CiEmCSGWa2nuFpHsVCalHBJ/uF2Brwf2ASzAV8C4ga5XDNdTAUzUfucAa4BxwJ+AK7XwK4HbtN/HAW/g3uBsOrBYCy8ENmj/C7TfBQN9fSGu/VfAU8B/tONngfna738AP9N+XwT8Q/s9H3hG+z1Oe/5WoE57L4wDfV0hrvlR4ALttwXIH8zPGqgCNgIZXs/43MH2rIHDgInAN15hcXuuwP+AGVqaN4Bjw67bQN+cJD6EGcBbXsdXAVcNdL3ieH0vA8cAq4EKLawCWK39/idwplf81dr5M4F/eoX7xEu1P6AaeBv4HvAf7aXfBZj6P2fc+4PM0H6btHii/7P3jpeKf0Cu1lCKfuGD9llrwmGL1uCZtGc9ezA+a2B4P+EQl+eqnVvlFe4TL9TfUFIr9b5svWzVwtIebQh9ELAYKJNS1gNo/3s3eQ50/el2X/4KXAG4tOMioEVK6dCOvevfd23a+VYtfrpd8z5AI/Cwpk57QAiRxSB+1lLKbcCfgc1APe5nt5TB/6whfs+1SvvdPzwshpJw0NO1pb2plhAiG3ge+IWUck+wqDphMkh4yiGEOAFokFIu9Q7WiSpDnEuba9Yw4VY93CulPAhox61uCETaX7emZ5+LWxVUCWQBx+pEHWzPOhiRXmNM1z6UhMNWoMbruBrYPkB1iQtCCDNuwfCklPIFLXinEKJCO1/x/+3dsUscURDH8e80GmyM1hZREFsLi0NTCAkWFqksAoIS81eIlf+AWGiZKkWESAh2KdQ6JIUYMRFPEoiFJCCIpcVYvNlkucV40cPV9feB5by367Hz5o7Z2zci8CvGL4r/Ls3LCPDMzH4AK6RbS4vAQzPL/qth/vz/xBb7O4Fj7lbMkM730N0/xvNVUrGocq6fAt/d/be7nwHvgGGqn2toXV4P4+fG8abcp+LwCeiPboc20qLVWsnndGXRdfAK+OruC7lda0DWrTBNWovIxqei46EGnMRX1g/AmJl1xdXaWIzdOu4+6+497v6IlL8Nd58ENoGJOKwx5mwuJuJ4j/Hn0eHSC/STFu5uJXc/An6a2UAMPQF2qXCuSbeTambWEe/1LOZK5zq0JK+x79TMajGHU7nXulzZizE3vPAzTurqOQDmyj6fa8bymPQVcRvYim2cdJ91HdiPx+443oDliP0LMJR7rRmgHtuLsmNrMv5R/nYr9ZE+8HXgLdAe4w/ieT329+V+fy7mYo//6OAoMd5B4HPk+z2pK6XSuQbmgW/ADvCa1HFUqVwDb0hrKmekK/2XrcwrMBTzdwAs0dDU8K9NfyEtIiIF9+m2koiINEnFQUREClQcRESkQMVBREQKVBxERKRAxUFERApUHEREpEDFQURECs4Bn7qdG4Y2n1YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5907624320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(matrix_profile);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "your_time_series = np.random.rand(3, 1000)\n",
    "window_size = 50"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "matrix_profile, matrix_profile_indices = stumpy.mstump(your_time_series, m=window_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f58f74b3550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(matrix_profile,matrix_profile_indices)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "your_time_series = np.random.rand(10000)\n",
    "window_size = 50 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "matrix_profile = stumpy.stump(your_time_series, m=window_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "left_matrix_profile_index = matrix_profile[:, 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1, -1, -1, ..., 9233, 9234, 5157], dtype=object)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "left_matrix_profile_index "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "right_matrix_profile_index = matrix_profile[:, 3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "idx = 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "anchored_chain = stumpy.atsc(left_matrix_profile_index, right_matrix_profile_index, idx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_chain_set, longest_unanchored_chain = stumpy.allc(left_matrix_profile_index, right_matrix_profile_index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  array([ 818, 5623]),\n",
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       "  array([4926, 6975]),\n",
       "  array([ 189, 3482, 9850]),\n",
       "  array([5265]),\n",
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       "  array([6640, 8500, 9825]),\n",
       "  array([6000]),\n",
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       "  array([ 396, 3543, 3762]),\n",
       "  array([3882, 4757]),\n",
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       "  array([3025]),\n",
       "  array([1958, 3473]),\n",
       "  array([3440, 9560]),\n",
       "  array([6651]),\n",
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       "  array([2434, 6520, 9651]),\n",
       "  array([457]),\n",
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       "  array([8267]),\n",
       "  array([4332, 4638]),\n",
       "  array([4876]),\n",
       "  array([2471]),\n",
       "  array([6132, 6861]),\n",
       "  array([7130]),\n",
       "  array([ 443, 5080, 9178]),\n",
       "  array([3999]),\n",
       "  array([8746]),\n",
       "  array([6288, 9101]),\n",
       "  array([5364, 6715]),\n",
       "  array([1431]),\n",
       "  array([3710]),\n",
       "  array([2661]),\n",
       "  array([7571, 7841]),\n",
       "  array([7055]),\n",
       "  array([1142]),\n",
       "  array([2186, 7431]),\n",
       "  array([93]),\n",
       "  array([1436, 7049]),\n",
       "  array([2736, 5676, 6919]),\n",
       "  array([4804, 8123]),\n",
       "  array([5520]),\n",
       "  array([2091]),\n",
       "  array([ 128, 6103, 6333]),\n",
       "  array([1270, 3211]),\n",
       "  array([1511, 8086]),\n",
       "  array([6766]),\n",
       "  array([3438, 9558]),\n",
       "  array([1621]),\n",
       "  array([2869, 5434]),\n",
       "  array([4970, 9265]),\n",
       "  array([1563, 5554]),\n",
       "  array([7245]),\n",
       "  array([1051]),\n",
       "  array([ 932, 6228, 8954]),\n",
       "  array([6658, 9413, 9618]),\n",
       "  array([5726]),\n",
       "  array([ 569, 6348]),\n",
       "  array([4474, 6622]),\n",
       "  array([6675]),\n",
       "  array([1729, 3449]),\n",
       "  array([737]),\n",
       "  array([3784]),\n",
       "  array([9571]),\n",
       "  array([4292, 6030]),\n",
       "  array([5156]),\n",
       "  array([8522]),\n",
       "  array([7410]),\n",
       "  array([6361]),\n",
       "  array([1216]),\n",
       "  array([183]),\n",
       "  array([2181]),\n",
       "  array([5503, 9109]),\n",
       "  array([1977, 2256, 6551]),\n",
       "  array([3365, 6028]),\n",
       "  array([3965]),\n",
       "  array([9480]),\n",
       "  array([4272]),\n",
       "  array([  53, 7761]),\n",
       "  array([6286]),\n",
       "  array([8907, 9766]),\n",
       "  array([4164, 9642]),\n",
       "  array([ 775, 1006]),\n",
       "  array([1397]),\n",
       "  array([3475, 9843]),\n",
       "  array([ 442, 5079]),\n",
       "  array([5800]),\n",
       "  array([9182]),\n",
       "  array([2346]),\n",
       "  array([2785, 3431, 7061]),\n",
       "  array([7814]),\n",
       "  array([7021]),\n",
       "  array([8612]),\n",
       "  array([ 145, 7925]),\n",
       "  array([3556, 8364]),\n",
       "  array([7500]),\n",
       "  array([6451]),\n",
       "  array([ 333, 7765]),\n",
       "  array([2247, 6170]),\n",
       "  array([2103, 5142]),\n",
       "  array([3560]),\n",
       "  array([5981]),\n",
       "  array([4932]),\n",
       "  array([5371, 6722]),\n",
       "  array([4138, 4700]),\n",
       "  array([4055]),\n",
       "  array([8802]),\n",
       "  array([3006]),\n",
       "  array([ 393, 3540, 4018]),\n",
       "  array([1885, 4200, 7402]),\n",
       "  array([6616]),\n",
       "  array([5890]),\n",
       "  array([2370, 4834, 9924]),\n",
       "  array([5097]),\n",
       "  array([8144]),\n",
       "  array([1298, 2549]),\n",
       "  array([917]),\n",
       "  array([  28,  182, 8246]),\n",
       "  array([5576]),\n",
       "  array([1335, 4659, 7669]),\n",
       "  array([2020, 5024]),\n",
       "  array([3082, 4351, 6963]),\n",
       "  array([2107, 5146]),\n",
       "  array([3675]),\n",
       "  array([9462]),\n",
       "  array([2626]),\n",
       "  array([ 388, 3535]),\n",
       "  array([8413]),\n",
       "  array([1883, 4198, 7400]),\n",
       "  array([8069]),\n",
       "  array([1314, 2565]),\n",
       "  array([ 438, 5075, 9873]),\n",
       "  array([8892]),\n",
       "  array([2056]),\n",
       "  array([1586]),\n",
       "  array([3584]),\n",
       "  array([5212]),\n",
       "  array([8322]),\n",
       "  array([6161]),\n",
       "  array([239]),\n",
       "  array([1597, 8861]),\n",
       "  array([9057]),\n",
       "  array([4642]),\n",
       "  array([ 454, 5091]),\n",
       "  array([6896]),\n",
       "  array([1349, 4673]),\n",
       "  array([1151, 7202, 8393]),\n",
       "  array([5684, 6697, 8709]),\n",
       "  array([5121]),\n",
       "  array([4328]),\n",
       "  array([6342]),\n",
       "  array([3451]),\n",
       "  array([1863, 2642]),\n",
       "  array([3433, 7063]),\n",
       "  array([3930]),\n",
       "  array([9717]),\n",
       "  array([6190, 6309]),\n",
       "  array([4253]),\n",
       "  array([  38, 5973]),\n",
       "  array([1944, 8621]),\n",
       "  array([3962, 6496, 7752]),\n",
       "  array([313]),\n",
       "  array([1245, 3186]),\n",
       "  ...],\n",
       " array([ 421, 1495, 2768, 4775, 6074, 8361]))"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_chain_set, longest_unanchored_chain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "your_time_series = np.random.rand(10000)\n",
    "window_size = 50"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "matrix_profile = stumpy.stump(your_time_series, m=window_size)\n",
    "\n",
    "subseq_len = 50"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "correct_arc_curve, regime_locations = stumpy.fluss(matrix_profile[:, 1],\n",
    "                                                   L=subseq_len,\n",
    "                                                   n_regimes=2,\n",
    "                                                   excl_factor=1\n",
    "                                                  )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 1., 1., ..., 1., 1., 1.])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "correct_arc_curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([9829])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "regime_locations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f5906c9d630>]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f5906b06470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(correct_arc_curve)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}