spo2.ipynb 436 KB
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{
 "cells": [
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook tries to recreate the SpO2 algorithm from https://github.com/XDjackieXD/TomoStrap/blob/master/microcontroller/source/max_spo2.c using data collected with a card10 badge\n",
    "\n",
    "It tries to plot as many graphs as possible.\n",
    "\n",
    "While the original algorithm works on a stream of samples, this notebook performs all operations on the whole dataset to make them easier to understand."
   ]
  },
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  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
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    "import matplotlib.pyplot as plt\n",
    "import numpy\n",
    "import pandas\n",
    "import math"
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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
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    "# The dataset collected with the card10 badge contains red and infrared data at 100 samples per second\n",
    "lines = open('spo2-data-88-100').readlines()"
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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
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   "outputs": [],
   "source": [
    "# A negative sign to the signals look more like shown in https://www.maximintegrated.com/en/design/technical-documents/app-notes/7/7082.html\n",
    "data = [(-int(x[0]), -int(x[1])) for x in [y.strip().split(',') for y in lines]]\n",
    "data_red_with_dc = numpy.array([x[0] for x in data])\n",
    "data_ir_with_dc = numpy.array([x[1] for x in data])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
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   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60ea6bf5c0>]"
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      ]
     },
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     "execution_count": 4,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "image/png": 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\n",
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      "text/plain": [
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       "<matplotlib.figure.Figure at 0x7f60ea6bf6d8>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
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    "# Let's plot the data to get a feel for it.\n",
    "# Luckily both red and infrared are close to each other in terms of DC offset.\n",
    "plt.plot(data_red_with_dc, color='red')\n",
    "plt.plot(data_ir_with_dc, color='darkred')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DC offset removal"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Goal is to remove the large (around -234000) DC offset from the signals and flatten them as much as possible.\n",
    "The algorithm has to converge fairly quick to account for the finger changing position / pressure."
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 5,
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   "metadata": {},
   "outputs": [],
   "source": [
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    "def spo2_dcRemoval(data):\n",
    "    prev_w = 0\n",
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    "    filtered = []\n",
    "\n",
    "    for sample in data:\n",
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    "        w = sample + prev_w * 0.95\n",
    "        filtered.append(w - prev_w)\n",
    "        prev_w = w\n",
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    "\n",
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    "    return numpy.array(filtered)\n"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 6,
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   "metadata": {},
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f60ea315e48>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60ea35b048>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
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   "source": [
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    "data_red = spo2_dcRemoval(data_red_with_dc)\n",
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    "data_ir = spo2_dcRemoval(data_ir_with_dc)\n",
    "plt.plot(data_red[200:], color='red')\n",
    "plt.plot(data_ir[200:], color='darkred')"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 7,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60ea308128>]"
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      ]
     },
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     "execution_count": 7,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "image/png": 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\n",
170
      "text/plain": [
171
       "<matplotlib.figure.Figure at 0x7f60ea36aba8>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Red and infrared are now without DC offset and directly on top of each other\n",
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    "plt.plot(data_red[6000:7000], color='red')\n",
    "plt.plot(data_ir[6000:7000], color='darkred')"
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   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pulse detection"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 8,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60ea31de80>]"
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      ]
     },
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     "execution_count": 8,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
210
      "image/png": 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\n",
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      "text/plain": [
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       "<matplotlib.figure.Figure at 0x7f60ea315198>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# spo2_mean extracted from TomoStrap\n",
    "# Calculates a moving average over 15 samples\n",
    "def spo2_mean(ir, MEAN_FILTER_SIZE=15):\n",
    "    ret = numpy.zeros(len(ir))\n",
    "    for i in range(len(ir)):\n",
    "        ret[i] = sum(ir[i-MEAN_FILTER_SIZE:i])/MEAN_FILTER_SIZE\n",
    "    return ret\n",
    "\n",
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    "plt.plot(data_ir[6000:6400])\n",
    "plt.plot(spo2_mean(data_ir)[6000:6400])\n",
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    "\n"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 9,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60ea2c44e0>]"
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      ]
     },
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     "execution_count": 9,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "image/png": 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\n",
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      "text/plain": [
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       "<matplotlib.figure.Figure at 0x7f60ea254320>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# meanDiffResIR is the filters signal from above minus the unfiltered signal.\n",
    "# I don't know what the exact intention is. It effectively inverts the signal.\n",
    "# Maybe that is an unintended side effect which makes the following beat detection actually work...\n",
    "meanDiffResIR = spo2_mean(data_ir) - data_ir\n",
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    "plt.plot(data_ir[6000:6400])\n",
    "plt.plot(meanDiffResIR[6000:6400])"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 10,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60ea1c9128>]"
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      ]
     },
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     "execution_count": 10,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "image/png": 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\n",
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      "text/plain": [
291
       "<matplotlib.figure.Figure at 0x7f60ea1da630>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# meanDiffResIR gets filtered once more (apparently using a Butterworth low-pass) removing a lot of noise\n",
    "def spo2_lowPassButterworthFilter(meanDiffIR):\n",
    "    v0 = 0\n",
    "    v1 = 0\n",
    "    ret = numpy.zeros(len(meanDiffIR))\n",
    "    for i in range(len(meanDiffIR)):\n",
    "        v0 = v1\n",
    "        v1 = 2.452372752527856026e-1 * meanDiffIR[i] + 0.50952544949442879485 * v0\n",
    "        ret[i] = v0 + v1\n",
    "    return ret\n",
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    "plt.plot(meanDiffResIR[6000:6400])\n",
312
    "lpbFilterIR = spo2_lowPassButterworthFilter(meanDiffResIR)\n",
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    "plt.plot(lpbFilterIR[6000:6400])"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 11,
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   "metadata": {},
   "outputs": [
    {
     "data": {
323
      "image/png": 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\n",
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      "text/plain": [
325
       "<matplotlib.figure.Figure at 0x7f60ea1740b8>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
335
      "image/png": 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\n",
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      "text/plain": [
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       "<matplotlib.figure.Figure at 0x7f60e7f63550>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Final algorithm to detect individual pulses\n",
    "# We pass -lpbFilterIR as we inverted the whole signal when it was loaded.\n",
    "\n",
    "def spo2_detectPulse(lpbFilterIR):\n",
    "    PULSE_MAX_THRESHOLD = 2000\n",
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    "    PULSE_MIN_THRESHOLD = 200\n",
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    "    \n",
    "    PULSE_IDLE = 0\n",
    "    PULSE_TRACE_UP = 1\n",
    "    PULSE_TRACE_DOWN = 2\n",
    "    \n",
    "    currentPulseDetectorState = PULSE_IDLE\n",
    "    prev_sensor_value = 0\n",
    "    \n",
    "    ret = numpy.zeros(len(lpbFilterIR))\n",
    "    for i in range(len(lpbFilterIR)):\n",
    "        sensor_value = lpbFilterIR[i]\n",
    "        if sensor_value > PULSE_MAX_THRESHOLD:\n",
    "            currentPulseDetectorState = PULSE_IDLE\n",
    "            continue\n",
    "        if currentPulseDetectorState == PULSE_IDLE:\n",
    "            if sensor_value >= PULSE_MIN_THRESHOLD:\n",
    "                currentPulseDetectorState = PULSE_TRACE_UP\n",
    "        elif currentPulseDetectorState == PULSE_TRACE_UP:\n",
    "            if sensor_value >= prev_sensor_value:\n",
    "                pass\n",
    "            else:\n",
    "                currentPulseDetectorState = PULSE_TRACE_DOWN\n",
    "                ret[i] = 2000\n",
    "        elif currentPulseDetectorState == PULSE_TRACE_DOWN:\n",
    "            if sensor_value < PULSE_MIN_THRESHOLD:\n",
    "                currentPulseDetectorState = PULSE_IDLE\n",
    "        prev_sensor_value = sensor_value;\n",
    "    return ret\n",
    "\n",
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    "plt.plot(data_ir[6000:6400])\n",
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    "pulses = spo2_detectPulse(-lpbFilterIR)\n",
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    "plt.plot(pulses[6000:6400])\n",
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    "plt.show()\n",
    "\n",
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    "plt.plot(pulses)\n",
    "plt.show()"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Periodic mesurement reset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The original code resets the SpO2 estimation every 4 beats.\n",
    "We keep track of these as a data set which is non zero every 4th beat."
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  },
  {
   "cell_type": "code",
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   "execution_count": 12,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60e7ec5630>]"
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     },
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     "execution_count": 12,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "image/png": 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\n",
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      "text/plain": [
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       "<matplotlib.figure.Figure at 0x7f60ea1744a8>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def knock_out_pulses(pulses):\n",
    "    n = 0\n",
    "    RESET_SPO2_EVERY_N_PULSES = 4\n",
    "    ret = numpy.zeros(len(pulses))\n",
    "    for i in range(len(pulses)):\n",
    "        if pulses[i]:\n",
    "            n += 1\n",
    "            if n == RESET_SPO2_EVERY_N_PULSES:\n",
    "                n = 0\n",
    "                ret[i] = 1000\n",
    "    return ret\n",
    "\n",
    "                \n",
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    "plt.plot(data_ir[6000:7800])\n",
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    "spo2_resets = knock_out_pulses(pulses)\n",
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    "plt.plot(spo2_resets[6000:7800])"
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   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SpO2 estimation"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 13,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60e7ee2d30>]"
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      ]
     },
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     "execution_count": 13,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
477
      "image/png": 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NJf4XfGYUL5Iao0Hfrz//Zrzh/Jtz7w/YxZnY1I1PS0C5m007HJk4OGiwMWhe/8jzGJNeSlZ9ahOCyap7tkGazTg3mVgajNXRiz5DPcyfAbiX2h/jNbMAVpvyyzaZhl2ciYPDHICpmuu5nRP4+I/uxXu+fYd1n/rEOBtZgx/auAd3P7PLuJ2n5ZPKe93SnkjmkewqHiOvN1g6kDB3d1awmeRtMg07ycTBYQ7AVs20dtuYdZ96j7MhmfzRv96B939vVU/HyG+ATz6P1fJLc6pdMRCR4nlVXTPp3GBjgOc2kkmfWuB7IhMiWkBEPyWix4noMSI6gYgWEdGNRLRW/l8o9yUiupCI1hHRQ0T0au04Z8j91xLRGdr2Y4noYdnmQiIhWLfrw8GhV5iqQgI/f3xAO8zV3Fy9GJwBYKxiQCbyfyyZ5EzaOJPp2lP3MacUZFM3Pi0B5W427ehVMvkmgOs550cCeAWAxwCcDeAmzvlKADfJ7wBwKoCV8u8sABcBghgAnAPgtQCOB3CORg4XyX1Vu1Pk9nZ9ODj0BFM111TMT/oxbIIWn9s5YaWm6hWpOJPcNozks4mdSU26BZldt57zOs1kFUubCPi4rLCFys+kn5mANZkQ0TCANwH4IQBwzmuc8z0ATgNwqdztUgDvlp9PA3AZF7gTwAIi2g/AyQBu5Jzv4pzvBnAjgFPkb8Oc81VcPEmXNR0rqw+HFyimatVpqgqZipfZZoWv401fv6VnNZUNbPJe6W3GjchE/PdkpHhuNZL2edrVXDCf5CMbyWQGY2dM0ItkchiA7QD+jYjuJ6KLiWgQwHLO+RYAkP+Xyf0PALBBa79Rbuu0fWPGdnToIwUiOouIVhPR6u3bt9ufqUPfQ3+pdo2bxQfoMPU2moqXOT0p91F+jC6wKepla8OIU9CTGZmka4zka2NLOjZ92UgmQOJJt09IJgB8AK8GcBHn/FUAxtFZ3ZSlXOYW23ODc/59zvlxnPPjli5datLUYY5BX9E/unnEqK2+KpwVNZf2uRePIxtPsF4kOht1i22AptpVeZDlHTbnPK5imJenbeue2HhZxTYTwzgTRap9xCU9kclGABs553fJ7z+FIJetUkUF+X+btv9BWvsDAWzusv3AjO3o0IfDCxT6y0iGNvGGhe5fIV31znZFOzWSyYRFYS/d9mCu4ks+511Z2xK32lORiYm3lC9VY3n7s61tox/+yns3tt9RbyP/m0X1i/LFwD4imXDOnwewgYheIjedCOBRAFcDUB5ZZwD4hfx8NYDTpVfX6wDslSqqGwC8nYgWSsP72wHcIH8bJaLXSS+u05uOldWHwwsU+hxs6l+lT6KmhKDPAfaTkD6hWx1C9G9RlnZCc8+tNkyD9HozwNuouWIpI+/KHzxOophXcqtblvfVr8evHtqSr42qo2PgeMF5ou7rHyoRqqpe8D8B/JiICgCeBvCXEAR1BRGdCeA5AO+T+14L4B0A1gGYkPuCc76LiL4M4B6537mcc+Wa8gkA/w6gDOA6+QcA57fpw+EFitQKzZBNQotJUUEngkotQtGgYl5yDG0sPUgmDQsm2juZVHas1CMMFPK3tbF/2ObKUl2ZrsijSJdm8vWV11OspS+tWSnIt05XbUyktIhzYwltJtATmXDOHwBwXMZPJ2bsywF8ss1xLgFwScb21QCOydi+M6sPhxcuenmp9FWhsc1E+zxRb2A+AuP+pyoFfd3CZjIymUgmFUM1mY2UoZ+eWQqRtAE+rwQpJBMzNZe1zQSiLkk95Hjb0StytVHXwFjNJRdMfcQlLgLeYd9AWs1lJprok4y5N1fSdtIwl1PWMXpxX7WRTCqaastUTaaP1dQVFjCLqYldgw2ljIhrbXI2emq7XTYDzjmOOWA+AGD5cDF3G5OxiTbm5zQTcGTisE+gNwN8Mon24s01aWEAB5oM2T1UWrRRzzR6kMpSxGBhMzGRTJq9uXK35bqdJV+bc3/5aO5x6Yg4RyDtM/nVfgJmrsEcrA9tJo5MHPYJpMjEtK0eudyDR5OpmkghJZn0ouaykExSRGpsL0o+22TxNRlurOYydPONOIfvmU3wrzrYLjsT50l6nfzkqkvF+VWF/WgzcWTisE8gTEkmZnSiT6imL6duUJ6wVXNpn3tTc/UmmZi2t5FMbImzVc2Vf+VvKpksHRIqquGSmUk54kBgSFxW7tU8kUz6SMvlyMRh30DKmcvUm6uHOBN9hWxrM7Fxsc1C3cITrJcYGxsDfLqgVv7xNkfA5+WhtOdTzr5gbhRXY1RuyHmJ2TbTMJH4m40y0+3gyMRhn0Avai4bQ7KCLpnY2kxUl0SzIZkkE3rDkIzsIuAt1VyymalrsK4SMvU4MyWTSEbbi/uY7+T03XJLdxDPOCNy3lwODlMNfaIwVXPZTnBAeoVsazNR/Qce600ysbCZ6O7ENitx07b6XqZp14uooRBVRNvcZMJj1ZNpKV1T7zjOAcaEWi3/9dCePYOaMEQERv1lM+k1aNHBoS/Qi5qrlziPlDeXtWuw+B8wsiITManYkYm+gja3mWifLWwmpmnXHyp+FMFVAHCZUS4wUzfapJSuaMNYvgcq4hxEBM/gPto8exxcqLlAzmbi4DDV6GWFZuOVFLeF3eSYdQzfY1beXMoYa6Pm6iU3V6/1TEwN8EVqgPFGy3E6tksFLebvS8EomJAL9ZPPmJU3V141Y8pm0kfOwY5MHPYJpPNrmbXtpdiQba6p1DHkHBJ4tpKJckc1l0yiyHwyU7BKp2JJ3M175pYyoiTRo437ssk14RD3wkQySV+PnP1wDgI5m4mDw3RAf3fNkzXar85t1TapY8j/PrOzmSi1Xs1CMtFbmAY92kgZNu7EQOs9zS+ZIEn0aDHzmqriGCmbSU4DvI1kAnHPGbkIeAeHKYc+2Zi+Xrb5osT+yWfb6HXVp+/lN9zqUDYBm3Qq+vnuHKtat53OID2gVdrMnZtLcw22Uj0Z3FNlM/ENJMy03SlfP0qdRuRsJg4OU47QcpICevPmAsxXli1H0Ly5bFaaXg82E31O3jVhVqHSxgCvw6yeiaVkwoGCbxr7kXw2UnNJW4bPmFWciYlkwoiczcTBYTqgv4emr9dUeXNZq7lkMxOXUh3K26hqIZnovRk7H1ioB21Vis27mqiRfCbsGHm93XpJRtmTzcREVUguzsShj3HF6g045OxrMFKpd9+5z9CbEb0XqSb5bKNm0o/he8xKr6/iKKoWcS42pWaT/S3IJBUBb6/mypvhWK3iA49yFy+zdaqIOJfeXPkXBVY2pFjN1V9xJo5MHGJcfPvTAIDNeyZnpf+9E/UpKX1regiblBZZbX9w+zNmHatjQKm5yEpVVZRqHJugSW45cYr9tehyg1xZNv01q3MqOclEreIDjxmk2E/6MondsZFMbKQgEWcivLkcmTg4NOH5vRW84txf46LfPmXVPu3NZd+2l/xUtlDHsI2AV95clXpvBngbL7hA1Ve3McAbxplo3/JLYXKCL/osv5pL283kmkacgzFBsPnVcOn2eaAM8Ix6K/M81XBk4tAC0+JSU4Ed0pPo0t8/a9W+l/xaUQ9tp8IAqtc3twlaVE1scoOlJBMLqcy4fscUuAb7CI0kE4Ig6rxkot/TPQZOCeJ0zLy5bGxuSgJaMq+I7aNmHnjTCUcmDjFmU2JWNbO3jti9HPpks3r9bqO2+ju8abeZik91Ww48vOKgBUZtm49hK5moNr26BpvbTIDANyWT5PPWvZXcfentCmjklkyEzcRMzaWfyp5JE/uhiDMpeCw3sadUrAbSHRGweF7BiOymG45MHFpgmttqKuCx3h5F/T288Ka1Rm31leilq9YbtVWrSd+jnu09JitaHUqi6KWwFmDnUs1kwkGbuIqr7t9k0FfyuYC6kedTnC8rr33bQlpQY2REGC4HGK00co9Pb59rfPK/s5k49D1m4wHtJVtur+17Od3xqpg0hkuB9RgS12A7yUSRgI3+vNdUMowgJ+r8xmOFQxYP5O5Lb1dAI/e5qtgPk2hxG2kBSCLgh0oBRnJKNNY2E2mA76HK85TDZQ12aEEvdcht0SuB9VIkqJe+x+QKdH45sDbGq/4Lfo+SiUXQpDp1G2Mul5KJx8g4I+9Llg9hyKCSYUrNRfklE2GsNvN8svU4iyIhBZUDhqqJt5nWPh+EHcjkus8EnGTiEEM9lr1KCTbolUx6GXIvbcdrgkyGSr71i61LJjZBi71IJqo3n5nHuKiVuEcG9Tti4sxvENfbAUAR9dzP6CHhenxkw9koUcPI48zUSw1IcmZ5JvVMUpJJzn64qJvi1FwOfYu4KNAskEnPai7tpTrlpSuM2vbyQqpxF3y79PGAnoLebnJQl86urWjjMfO+w0iqWywivgs+M0pMqe8p1Fz52v5D43t46ejvcWT4pJE0o5JDmqbJN46Al0Z7k76Eh5qZrWom4MjEoQWz8YDq75GNykqfKFQgXf6+e7e32EzGCnGcCWNWHlkqstvmvumpXGwCNlVlQdOyvSZxH/o4AaBooOZqyCkuYJGRZKLS1ptmDVb1TEwyAphmNdYlICeZOPQl1GO5wzB77FRAf/lsgu90QsibNkNBNzUcumTQrK0WI9KzmsszzwIbRjx2ebUjE9FGSBdmbZU3l4laR+1W8M2IUzfAz6Nq7nMN4QEAfIqMvKXiUr+GKV8YM4+AV8SVPxOyDFpkLmuwQ5/i4EXCu+avf3wfNuyamNG+dRFf2SGM2st5iVH+vE0KihBetHggrsqXF2mbg1HTlv4DjxlnHp7QrlWvkol5BDyMDfA8JZmYrPqTz4ex53OrhEIlmSA0UHMlaeuNc3MZ1jPhXEtJk9dDDQBUOpU+YpOeyYSIPCK6n4h+Jb8fSkR3EdFaIvpvIirI7UX5fZ38/RDtGJ+T258gopO17afIbeuI6Gxte2YfDr3B0wJMfrdux4z2rU9kNrXU1URRCjzjWuh6OhNTe1Fsc7CMEQHSEfCmDln6tbKx2aghm6ymk7Y2Bnjxv+B7RhJkub43/jxI1dyTaMjFFOcTN7LrBBZkojzHjCUTVaPegOzEde89tmgqMRWSyd8CeEz7/jUAF3DOVwLYDeBMuf1MALs554cDuEDuByI6GsAHALwUwCkAviMJygPwbQCnAjgawAflvp36cOgBE9rENNNxi/q8MmFBJrwHMok9jAxSbiRtxf8b12zFpj2TGLXIuJyoucwlE31CtlmlxsZ/C5WJMjgzI9fg5FqbqLmK4Vj8uUBR7lV8XVNzmameLAzw0phu5M2FJGA3v3Snq7n2ETIhogMBvBPAxfI7AXgrgJ/KXS4F8G75+TT5HfL3E+X+pwG4nHNe5Zw/A2AdgOPl3zrO+dOc8xqAywGc1qUPhx4wFYb3Xz20Gd+zSNaovxS9qLmKhl5Com/xP/DNgwYVEalJfZNFxuXYjiBtJibqJtto7ea+PQtPMmUzMckppvYqBmZqrgb34s8FauQeq7KZmKm5krrxpjVXlNqP83zkkJZM8vWTyhq8DyV6/AaAzwJQp7QYwB7OuZoNNgI4QH4+AMAGAJC/75X7x9ub2rTb3qkPhx6QyiBreYy/+c/78dXrHjfvO2WA703NZWozUavzomc2wYl+09+V4dbsGFI68MzyXOltmz/nhmwTRcAjm/Z22bm1byKxQjat31HwmJGai5A8EyauwbE3l4EBPuIwTmAp2iU2EyCfVBNpNhPTrMEe2atWpwPWZEJEfwhgG+f8Xn1zxq68y29TtT1rjGcR0WoiWr19+/asXRw09FITpFfoL54pGQD2Lqeirfgf+PkNpwrN14lZJDZThzCtVQ6kyWysai7RcQinhU17JrF221jX/XWEkVyJGxiC1fUyvU/Ek30LFBob4I+sPmQw8doZ4DmHzAOWn4i45s1llk5l31JzvQHAHxHRsxAqqLdCSCoLiEjlSTgQwGb5eSOAgwBA/j4fwC59e1Obdtt3dOgjBc759znnx3HOj1u6dKn9mb5AoD/7tvXMp6LvXsikV5tJaCyZpPe3dc/VV7QmE0TiCUZGWXj19qQRoGlUelK/I7/xGBBkwrlBtuEoTSZ5yUupx04cv8YgFkack0lQYOxird3HPNfEygAfq7lmJ49eO1hftj+uAAAgAElEQVSTCef8c5zzAznnh0AY0G/mnH8YwC0A3it3OwPAL+Tnq+V3yN9v5uIOXA3gA9Lb61AAKwHcDeAeACul51ZB9nG1bNOuD4cewHuUDnqBPjmYxomI9uJ/0WeoW7oGF3yGuqlkIv//zVsOB2Dvnqt07YBpnQ/xf7DoW9czYQR84Z1HATCriRLbTAw82dRuxUBM8nnJi5BIXTZqLsCMGFRQYP6odPFfv495FiapoMWcj16k1FwWHnjTiemIM/lHAJ8honUQ9o0fyu0/BLBYbv8MgLMBgHO+BsAVAB4FcD2AT3LOQ2kT+RsAN0B4i10h9+3Uh0MP0J/LmX5Iox6JTL30xcDM5RRIXuLAY8ZJLtXE87ID5wOwk+hiF1u1QjUiEyWZWOb14sKdtVwQk3vFwJMu0tQ6NjYTIP/CgWnXtUS13JM8WTzTyXmZe6mpSR7I9yzoQYu5Pcekmmug4GO8GqLaMF9ETAemJGsw5/xWALfKz09DeGI171MB8L427c8DcF7G9msBXJuxPbMPh94QcY6j9xvGo1tGZtx/XX/RbchEl6p2jNXkJJ/PfqFLJo2IG7VVUkWs2rDIuKwm9F5sJgWPxRmMTSBUJqK4F2Dmlq1IkBHlzlisbpNKpJj3ehFPzm0IE7kn+VGUxVjButoBd45V8bHLVmOs2sBAwbeKn1ER8EBem0miFssdAQ8OAsPBiwZQCyPsGq9hv/nlXG2nEy4C3iFGxIHlw0UA+UT0qe27RzWXbH7bk8LR4oENe3K31Y3CgLkHjy5V2EgHakK3kUzSRGiXgp4o8UIzVbF5kkjzkoKS5Aq+mZorcRgFhjCWv9CVVEQ+VT6m4wKpHkZ42wW34b7n9uDJrWOCJA2DDwFYeHPx+NrndWlX98y3cBKYTjgymWJs2jNpNJH1E7hlsNZUQH8fbnx0q3H75hfKxKuqWfViKhkQKJ4QrGwmEccPvK/iwO23W/SfGODztKvUQzy2ZSTpm/O0nt+YSIXNxCQ3FyGJ48grhZJGlEVey024nro+Xdpcfs8G7BpPSuCSJEkTDyugScLMYzPhHIvniQQeO3PmxONIgkWB/LaW6YYjkynGR/7tHrz723fMuAF7KhBxDs+wDGvbYxm21/u7fa15KhelIvi/73kZADOvJNX1cDkAAIwYRLE3SxU20gFFDbyJHsSbVv9PAObuqICQTPJ4R33+qodx6jdvjycu3ZhrOv4kriK/zUREiVNM3LkN8Fyq35iPwMAAz2R8is/rHRdIzbYi80h2jj/1bsEnbn01ChCklFfNVfA9DJV87JnIW51RPXPie7+kVHFkMoUYrdTxxNZRAOkEfHMFEUfs6tkrmfzaULqYquJYiwbFKs/UK0lvq69Qu2EqVA6J8dY8+29MJjkn5wc3Cql5pzxHFRvhW6xyoyixF+VNjaKixE3VaurawC8LMsn5vDDZLuCdC2qpVX7Sn3kFyY941wEAFow/DSC/a7ByJzatCaOkb6fm2gfx6OZEfTAbBaZ6hTI8TwWZ7J7IPyEDvZOJGu9gUXolGaSxVz0PlYRkMl7NT0TNaiIrmwlP92ey0tQzDgPdJ5bBovC5UQGOSrJiBpLJgxv24I3/dDP2TtZFPRMj12AhCpmrueQ1CgSZ5FZzSckk4LWOBnivSStKBGwdqeLyezZkN2hCxDnGURJ9RfklkyQFi4l0pxYA9qrV6YCrAT+F0IsyzUYd9V4RxztMQZoG0wJVNiVndahJdUC5uBpIJkmSSGkINVBRqslAvdg2952aJnCbdCoFP1//D20UKVNULI5KzWEiWZ1z9Rps2CVykC0bXgKfGUSzc6FCslZzBSX4k5X8komMnPd5reO5NT+vpokMOAdqEIuRIKoCKOYi5jBKVFa5VcNc1YBPjtEPcJLJFMI2krhfoHsm9SxZGTbvVTJRzcuBWB+ZkIl6iYvGHkaIq+slBmybQuxNkomlazDQWbLQXU9VHyKKPb9kVWtEKQcTMg5alDYT34y443QqSs2VM1UJI6Xm6hyb8r3bnk59N02LwzlHjYtnL4hEJoI8j4KSbH2Wv+yzMMAnY+yXKHhHJlMIPXhoLqq54lW2Z549V0HFK1SNAwdFf284fDH2n18y7le9iErNtd2gWqQ6VRvJJHGttVdzNTOv2bVPq7k69a/bkdR+sXdVzjTozURruvhQ/Sk37GpeMoEmmfB8WYMjDnjSZuJF9Y7ntnF3OtuzqWQScaCqJBMunr082RQiLtyrGTMJqkzU0YCTTPZJ6Kvh52a4UuFUIM4CS/nTSDRDaQvMU5qI/yXDoklJe3EAFcn9T9c/Ydy2JInQpH8+BS82j5LnhiGyC1r0u6uN9KDGWDKBsvmI7d36bp7EzeNMxPOlrnVuCVKTTHwDycRXZMLzG+0BO8mkLq0GfiTIJJ/NROY3M1AtK9VkL3a66YAjkynEmGa4/bsrHpzFkdhBvegFj1C1qMMOJC+hKSGoF71UME8hD2g5qgrmZsDmoEWjZIdQyf3sbSa6+mkp9pipuaK0zaRTWz2rcEoyoaRAU7e+mxfbJCVZk3QqRIkUWDGNMwnKCHg9lwop4ok3l4cQiMzSjpxxwoswX7qL5+lLkYlSc+V5jvTULbnVXPE9c2qufRZ6lT0r3fksQ9lM9l9QxsbddpKV8goylUxiI7ilZKImQUUIQ6X8pNIsmeRVvai2jAieRTElBT29+kIas7KZBLFBOyeZhJoBXk8H06Xv5gnvM89/Fl958I0GNc+FJKfsU9WckomnEj0GZQSo53q/OHis5gKEdJIXSt3byeW51ohStqfEZpJfMolL8DLKnXVC7EVxmW2n5toHMaqpEQ5fNm8WR2IHNTEesmQQz+wYtzqGIoVRw9oa6oUoBaynFPQeI5x6zAqsGM5vd1Hvoo1kolb2ajI2zTosDpJMqB5CszgTObUUYptNBzVXhmTCWxwIupBJ0+9HT94LBm40ETISlRaB/JJJrOYKZA6qqPvzxTXJBABYlD8YlaT7cr3N9Xh4414c8YXrcNQXrxfD0by5PEkmeSPgmayamF8y4XG6F8A8QHi64MhkCqHrpN/8kmWzOBI7KJF7v/kl7BirWj2kqokpGalJqhx4iLj5akuN1VTtAmTYTIwN8D0aQ7VJJDAlkybJpNMEptsn1OdmlUlXNVebCS8viarJM5YCc0omsWuwL8iEchAD54CvVWj0eHbs02d/2qqSZkQIWHvJ5KbHRVCuelY4OCJZt89UzaVS0nR7357bOYF3fPN27ByvpRYwzmayD2K0UseQDAqbi67BasWzYKCAiKclrbxQk5F5gSrx32ZCB5KCRoB4yUzSgugFmwDzAlF6nIZp2V9xkCbJxCJoMY4z6TCx6JfkH376UNw+HXTZ+dzbkYlJevcAdZR8MwM8iyUTKXE2ugfFRjyt5vLbENAVqze2bFP5wyKevfJvVoUK+4yUjkNBJnkN8ETIlaH4u7c9hUe3jGD7aBWEJDeXS6eyD2K02sBwOYDHaE6SiVLZKHvDaDW/WkDBlkxiA7yFey6Q2HsAGHkXibaQfdtJJoy0eiBWBao0yYRCI3tbszdXJx1/FhFwmAUttvu9HvJcKdRL9RHcGX4QwapvgMjAPhV7cwkyoag7mXCk1VzE6x3H+MaVS5J9tZQvWVKXslcoRBFPjP3hpGyXx2aSJG3sZkjXSU0RUPP22YQjkylEpR6iXPAQeGS3Qp1lhJFI9Ghaa0KHWtnWG4Zqqjg/lkiBv2M8f5wIIMhIBY2aqrmaVUV5U4EDycqy6Iv7blOHnTTJxEdolA2gWTLp9Nzpl0RNnEpNp7zwuroGdxhbnks+0NgNAKBbz0fJ93KTbxIBn1/NJSSTZFAFNDpeHz3BaEqNlNFGPStAQrBxTEtDSSb5imOp3Fzd3rc7nkqPz8WZ7MOo1COUAoaiwUvST4giDo+xxM3V0JgcRTyeUMyrHYqGBy4Uk4VpPXPOk5WaSeJBIJmQVZoPm3QqgKp8Z5HgU/PmEmRicO04sBy7sP/EWgCdr7ueNkYRb1x/3su3ym2nUvEQ5ntelLNBWEXBZ7klk1jCkJIJyyOZcMQR8IAgk7zPNCPE5RiyJvmJenKfJ+uhJAX5HDWEvTDPgtLEAK9S2ABTYKebBjgymUJM1kKUAw8LB4Lc6aT7CY2Iw2NJNLepdKW/DMZqLrm7yq1lQ0ZK82BSXwMQE+pL2bOgr78Y+/kjZmouJP2WA8tFRAuZ5Gt2yNnX4Os3PIHbi3+Ld9/9AQCdVXS6Oi92DYZZ/fl2E5ePMJckyzT33AVsIvdE2CKZhHkM8DxlgA/QyC0xixo17WOmJrWU9ZO1MBXTEow9DyCnN1dkXiJYjE+TTJzNZN9DpRGiFHhYMFAwzprbDwhlnibbADx9YlizeSR3GVIgkQ5U/IGNAf6TdCVw3T9a2Uy+5F8KTOzE69kaQwN8knrDOqeZRiavYY/nWj0rMnh0ywgKlExsncauZxhOghaTmiRA91Wufk8LSCZ0L2fkPmlu0MOsakAmTZIJz+fN5SFCJKe5AI2OXmdKVQiIUgxBh3xnennjneNV4bwiyYRN7gRgpubq9uw0S7y6atJJJvsgJmshir4nSqjOQZtJFHH4jGKVh2nMRPPL8OVfPZa7XzWp5dH9Zx6Dc3ySrgDu+q60mZipuY5jIv3KpDevI5F9+5Z1OOTsa+JVJOccR0TPAA9dYZTwUAfXxnoKuyfXs7O+TbqezpKJtK9oudf0TNGAWdDi8ezx+LOHKJdqUSeBYap07W/TnklctupZzZtrAABAYT5vLoYIoScIqECNFrJNOT9omYMLURWBDJTMuh+6ZLJ5z2QqDxiFMjdXTjWXJxNtdjLA/8uNT6a+604TLgJ+H0S1EaFc8IwK3fQTGrEB3lIykfurOvKX3PFM1zYTtQYO+/y1uGzVenh6NtnQTF2kv1C+oYSg71pkUcfV/ddvEKTzj1cq11rgh5XPAFd9zLhfBdI8jn4THZtLMvrSLx/N3N6JTNQl0tWAcdbjLjaTbaMVvPPC27FJS4g4xsvx57zBlrqzwRBNdm3zF5fcjS/+Yg0qNemQIdVcLE/QIiTJKTJBo+WZvvrBzfHnRbJ8LgB846lTcdIdHwKQLe1N1Bqx9+BopYH/vOs5kIpNb4hrlLeeicpA0Gn/VslEy83V5j397m+fwpn/fk/XMUwVHJlMISr1ECWfSZF1brkGq0lEqLnUQ2rn3vuiRYO52yij4t7JuqzAp9Kx2HmDAUJlw3l+8V9fnQ6xWq6Mxz+5V8Qm6D34jOWOBNehT7Al1HKRyf3rd2du7zR2Xc2lVDBSPokTIrYjw5+s3og1m0fw779/Nt7mo6F9jnK5wpJGAsM02ZV8lbo4CtM2kzzR7CrOJGSyaBUaLfaP53YmEt53PnRs6rcFe4VknTXGiVqIeTKm7NxfPopL7ngmiWlp5MsarJ47lU6+0/N63SPPp76nasC3kUzOv+5x3PT4to5jmEo4MplCTNaFzWQuSiaKCISaS/nXm52DItD5A/mS4wHAmBbLwlii5jJOYa8N1c+RWiTdNmlcYqFRXjG9ra3NRLcjlKiWyzU5K10NdVE16Xm81GqWc47PVr+F0leXAmi/gFATnz5vFSgZg4cwF5GmJZOJtnaF3eM1bN4zGXud1RvyOYltJvm8uTxECD0hKRdQb1nFq/ggAFgmJepmZJH7ZD2MK3OqEsixmiuqi+zPXa6Huh/KAaLTnLF3Mk2eBGi5uVr33zALWctdpcUpQiOMMFppoFzweiouddV9G/GZKx7E/zh8CX700ddO8SizcefTO5O60kyPMzH1yBIHWZAz0yqQzrTsEaHo2RngeZOaCxDifzHHE67fqgLjbT3Jml/o5n4Dxu0kUm2CLaLeVTJp59gQdPGoSmwmhMl6kujxlPpNcjvDeC1bvaiukT7htRrgc9hMNIliHibbjvf159+MyXoY51gLGw3AQyyZ+DkN8LrNJECrzWRYe1aVxUQ/L6CNa3AtjGvnJO2T/Yqo5U7nHyd6NLF9UGdvLpt4p17hyGSKsOrpnQgjjpcsH8L6nePWkslnZOr6363bgd3jNSwcLHRp0Ts+8P0748+e5iZqagRXL90CE8lES9nCiBD4qm9DyUQba6f4gMy2uocSRW2J7PzrEoeCPzhCrORTK3UWWd13SpFJratk1K6Lbt5KioR8j6GhasBrx5pX8lOSYrpPsaM+cc1DEgvkUZhrAcW0cy2w9nYWVchL2SV4FAoykZKJz0VNk07loWM1lycIKMsAr1zRP3XSyphNDqdNqX0yvbmqDaxoKuKmp26Zx+pdF2PqmlIOyeTIFUNYMq+I360TgYsELc4ko5/ZcAByaq4pwsikeDmPOWA+fGYWgR0fo5J+kTdYpoHvBR6jji6RnRBLJgP5CTCt5qK4/GxeyeTDF9+Ji29/GoXGSLwtSYCX7xhpQuBtiUyv8bJsSKhEdCI6pvG41UusT7Bl6m4zaXdei2mki2Qi/gea19lxo7+Jfx8ushS5Z7XVDfQvpsR47edQ6wDpOBMRRNi5jVJzeSr4UEomQY4ARA7ApzBWc72FPdCyQFJj/qNX7B+72n4n+GZqn+Y2O8aq2Ly3gsEmsZdpksmA172AV6wNkN50nfZfv3MCL16a2CL1dCpZl73SmPmgaUcmUwT1YPte91VG22M0PRWKoKYTj2zam/rupQzwpjYTC8lEU3MpcZ8ov2Ryx7qd+Mo1j2FxLUnW5xuW0E3FTrD2kklJ068nKdyT3w+MNthJpMpmQgxlqne1mTTPoVUurvcy7M6Vm0u3mbxx5Jr497IvsjhkIkMy8bX4FpZTzaVLYQXq7gGmVt8MkcjK6xVk21bPrGaofFlKMnmHd3fL9VH3MfBYrOZaz5en9ml+Fv/hJ0J7sKmp1K+eB2yQhV0l+2Y1VztPuijimKyHqUUa09zos57X2cjA4chkiqAenILHjLPWKjS3Ga1MfxT9H37rd6nvumRiHsUursFwKT+ZTGi6XUEkZJzSBEjr4gtdPJOaocd5BBS1ncwPXjQQf1Z2Fb2LvcFSq/seT7CFebm8uZr7qElt9aDX6Og0ESeF9Bg27ZnEyRfchrFGMgUM+O0zD2RJJrpa56W0Pp+aS7tPp07+MvNc9T5UJuc4+NAXUkY3+5A+xshLDOvN56fIRT17ALCWH5CMN0Pi2pNhO1P7KgywWo4MzLKdVHO1u35KdVnwGQoewyKM4Mxn/x7F6i4A2cShLwq+dv3jRgHEtrAmEyI6iIhuIaLHiGgNEf2t3L6IiG4korXy/0K5nYjoQiJaR0QPEdGrtWOdIfdfS0RnaNuPJaKHZZsLSd7tdn3MJtRLEUsmFuqO5pWMqaj69Rsex4cvvhMTNXuJxtOCFk1Vderl0ZPgdW+T9KHUDAWPGadT0V1Oj3z2UnHsvMfQiYhx1Npcd6VWWDxYwDUPbcG6baOpybGIei7JZPd4DU9uHQUAPPH8KPaOyxVuYV4uNdeZ/7469b0OITENUKPjOXNNMgGAJ7aOYlc1sTmUPN6WxNUqOnW/tMnzANqRT82lpTdZFm7LvF669KOKaHmiWn0smeRRc6mgxXowBAAY4QMtY1Tn43sU22d0khxEpeV+qOd0yby095eeVHKYVXMb4FVutLZkoi9UPcLp/q/xkrG7wa7/LAo+a0MmybaLbn0KT1sWuzNBL5JJA8Dfcc6PAvA6AJ8koqMBnA3gJs75SgA3ye8AcCqAlfLvLAAXAYIYAJwD4LUAjgdwjkYOF8l9VbtT5PZ2fcwa1EvsM4ZiwLBttGq8um6eCNqqHNrg27c8hTvW7cTRX7zBqJ0Oj7R0KoZkoiYGnxE+8oZDYz/8TtBtDjGZ+OaSSb2WuIoOj68X23ISuk5EAUVt2ymCU66gJ/3LbfCixAgtPLG69/mH3/od3n7BbQCAk79xGzbvli96YQABwq5kcvezu1LfG1Iy+Yr33c5Zg7WJU6GE5LqVO5KJ+B+2kUzGUMrpzZVe6GQ9Y3of41INyhAhIg/whNQb5LC3iOJYETjzMLHs1XggenHLtdXfW5KKLj2f1yBaY2GOfZGYnj79tiPS50YRGr6osLqYRrsb4FVslwwUbud4sVre73oUIfAYJrkksTVXYYU/lkkm169Jx6VMtvHSm0pYkwnnfAvn/D75eRTAYwAOAHAagEvlbpcCeLf8fBqAy7jAnQAWENF+AE4GcCPnfBfnfDeAGwGcIn8b5pyv4mJJdVnTsbL6mDWolzjwCAcvGkAj4sbueeoYrztsEYD8VegAkdJhKjAVrsGeR7kJITU5yaVh4LFcKjZddH9oQ5Ke25cxCN0mt5+s3oDNeybhaRlogw7eXJmR0OOj8ecidTe6AiJFCAD8TqY8jyevoCwC60wDNuUkuBgjHc9ZV3Mp3BkdHX8uebxtfM/zeyflMTSbCUKEJKSiMjrn2frYZatxyNnXpGwmQHZgqV6UTVXs9BEi1CSTPMb7uDgW+SC/ILy5mtrokgnJy+JpZLI/7Wy57wVPBCavXJ4uzc0QoVES7+5CGssxPvF/yfiTmM9H2177v5RR7M/uGEfgEcaReJEN+1HmovOah7akvs9ErsApsZkQ0SEAXgXgLgDLOedbAEE4AFT92gMAbNCabZTbOm3fmLEdHfpoHtdZRLSaiFZv377d9vRyQT1wgcdQLoiVoqn+XB3j/ccdBMCgPjZgFenabPAL0MDRT10c+/DbJnr0mSSTMOqqq9UnkzdHq4Abz+lIRPc/txtPPC8mcP1lDbQJYHL40K7j3zpSwT/89CH87eX3pwotCcmkPZn4Ta6oYSVRH4jYgvz3TKVkiVf4fjnTfbUbdC+iPHEmuhqyisS+VfTae9H9/AHhudWs5qozYUcqo9a270YY4cZHRZlbqGy/85a3HE/hnRfe3rKNIQInD2BivAXq7nrLIYiBkyChAuotq/+G9syqO+trEteBtL3lvGphhILHYklawUOEMBAeV4PU/noAwA9uexo/v38TCqjjj1a9H+9d+1nUGtnvi9pUbQjJZBcfin8rsShXDr2Nu6dmsdkJPZMJEc0DcCWAT3HORzrtmrGNW2zPDc759znnx3HOj1u6dKlJU2PoK5y8VetajiEfPqUeMvHIKPnmt/LBjXtS38/yfoVjHvsGiqu/C8A+0aPHCIWcaez1a3Re7Z+AO76Bgs/atnvPd36Pk78hVET6y6qrJnhxWPbdfvzrto0BAO55dndK9RJQ2NZeUw95iz1oWeXp+PNwNGJ0z6vSNhOTSVCCj0ZHia7Z+w4AnuErAAD3sJd3vN5qUvI0NZeuqip5PB5TO+jqEg8RIuYj8oooU/sgvXHNYy8K5bU+/G2YYIOZEfDbRlsLo8UGeMYQkZ9TzSUkE858wC9m2ll0NZeSjD0KEcZ2qGqrw0MjQuBRS7VFBo7IF+RaonrHhcV51z6Gc3/1KPYjkWF4xbhImtnp/lXrgkz0Z73kZTsiLB1K23M+ePzBbY87VeiJTIgogCCSH3POr5Kbt0oVFeR/tWTeCOAgrfmBADZ32X5gxvZOfcwaYslEeyhNyaTZa8PEZmLjkjpQSNs0/iG4AgDgVUTeJ3vJhGkJGzufQ1b0buDlK5p05X2J4KpLJoGUNDq9mD+6c338Wa/at6S6se1kriYRHV8Pvx5/XtTY2nWCu0HTZe8YU2k45Nj9MgLeWTLJSpOhCCEkv4uaS4ztKUmkelsAWICxrqrJLbJoGZGUFsDAvZKQytqMWy//HCnJJCjD4/kCHdU4I6mHiliQy5tLpVMBeULNhUaLp54umai69D4iVKXto4xqy3NUCyMUfAbWNHsyRIikZFKmatvx6UkbhyDuZ0RBfOxmHLZEHPPz7zgKvkepZ73YJuvCAQvKLdumG714cxGAHwJ4jHP+L9pPVwNQHllnAPiFtv106dX1OgB7pYrqBgBvJ6KF0vD+dgA3yN9Gieh1sq/Tm46V1cesoR5G8JhIvpbkzDEkE/kiFzyGYhsvjU7961izuXUFq3Dv+l04+ovXY9d4th6VrfoWiMxtJrpkErsXd5mcsq6RUpF1gz6xppIORioFePtjbB3Rorc1NVcpmmjbTk0iOsaRvLQrJ+7vOsFlkUE8ORQGhGTSYdwDGU4N6txLHVRNQFJvXZeu9BQg+zc25I5ZKHgMPiJE5IMHJZTR3ntJt4HwmExK8Hk+77dDlwzKOBMxbs4KmalRmhFpZMI80aYlziQU9USYfHcHCx48hKh6CZk0t6k3hJqreeQMHNwLAK+AgQ7pVB7bkihwhkjaopgfH7sZ47UG3n/cgTh48YCw12jxPSUWZdrYZsLg3oxeJJM3APhzAG8logfk3zsAnA/gbUS0FsDb5HcAuBbA0wDWAfgBgL8GAM75LgBfBnCP/DtXbgOATwC4WLZ5CsB1cnu7PmYNjZDH6i1711qlKmMoBl5XlYOO5pX8Mx1cAf/kolWYqIW49Ukh0J1w2OKWfQLGjBM9KpWFspkAOSSTjD5KLMqVbFF3zfS08qzKAN9pstH71WtseBQh4tnjUpOIjktC6WB43EcwEI50vedZHm7x5BAMymqA7e+7rlopSbfZw2UkulhFtz/nXeO12HgcH0+TTE7ednHm/cqyYRR8Bo8icGLg/oBUc2X3rTuHcJWwMRgQpX5z3Oehki/UVdLYH3kBCsgTYR6KUrrMAwXFTHtUI+Kx9yIgyNpDhLrMNFykVnVaLYwQ+AxDRR8ffu3B+O6fiSgHQVwMCMoodlD76ddfSSZckknz9eecY/toNX7WWyWT7HLJelnhmYJ1bi7O+e+QbdcAgBMz9ucAPtnmWJcAuCRj+2oAx2Rs35nVx2wi1qev/z1O+/mpuJC+nqsMZ6Ue4uRv3IavvudlqViVUpBfzfXU9rF49feTj5+A9313VS4V1YTUZatJSYfvWUgmoW4zyZcW5cd3PQcAeCk9E28b8mrYHXrtmgAQqday7xIAACAASURBVMPXbhOG+KGSj0BbPfs51Fzqei0aLMDT1Fye9DYSkmZ6DHU5iej3JuLy2pXmw49qCNH5fEtB63kFmjcXoNkVmvDghj34sx/eBQD4qzcdhuXDJXz9V/dhHgkpa4B3Tumu0sfrkoZOwkuqG1DLmJie2p5emHzY+w3OwnW4D4cJMgnKKKGGkTbXW0+QOVmrIfQZPOniSzlSyQ+VfDBKSyalDuSloNLWc+aBPKHmak2nEqVcpVMSFwkppXmCr0sDPBHhvPe8LJZyfYTCQSAYQLnRXu2nL/yGSaq5pGNB8/tSC8XiRqVu8VmTzaRNJoDJmtm7OxVwEfBThHoo9emrBSe+gp7KJZk8vX0c63dO4NxfPZq4FzOGUs564pV6iBP//9/imzetBQAcuFBMSO3ckp/enujLx2VwoyqVq2OQtb547RBGHOu2jSGMOM71/w2H/fJPukom67aNpewWCygZ18HRxswV9iZthfumr9+CK1YLm8nCgUKi5iIWq63ardI37ZnEMzvFBDlY9FITmjpOls1GLRiu+sQb8BkZY+BRKFxz/bLwHGpDBApZ0qanqbkAgLepIvhfdz8Xfz7tlQdgoOBhAZKJ/qBoI1g9WyLVvYT05ypWHx31LuwoH5rLnfu84BK8CFsSacEXaq52jnv6MQNI47Z08dXjdNphsOCnbSbBIAZR6b5gUo4VzAcLipmqMSGZJGTieyQ9wDyA+bKCZJNkIr2qFJRX1yBNCpuJX0IR7W0mKTKJJZNCy2/69zgTAKOUSrfQppjbpBa4vH9TQsrpgiOTKUIjikS22oqwVezBvFz6YLUqevz5JMgp8IVk0skIff0jz+NXD21O1aJmlKhR2ulMb1+bxGOMyBVjMUMyeT/dlNvN9Zs3rcVJ//JbrN02htP9GzHw/D1x/w88tyezzXu+fQe+8PNH4u+B9oIMYzJzUnvD+TdnHmvZUFGzO8zDwsd+hBPYmji4sBmbdk+Cc2C/+SVEkabmCgbiCO2sF7TaCFHwGI7efxh/8YZDAIjVaAQvTvPBw1ZPJB1Z9yV2RfXFQoDXW8d933O7cfk9iQd9QRZhK1B6ZV9ojDU3leejk4nob+lQMSETvwSfC5VOHokaSNxueVBGiWptizTpCwoPIULyoYI6DgufyWyjY345EMQlPazCwlBmMGELtJxnzC9m1jOJ31s1PiL4CMGZTibpZ+E3j23Do5rdQ3HRPFTAC4PA7mfwxslb2r4/+rOt1FxQaq5myaSZTCit5iq1IZNKI4LSiJ541PKW36cDjkymCPWQixrSsspahHzJHnX96Sd+fB8AIcqW/PaSyTd/sxYf/9G9+Jv/vD9O1Q3IGBepRpls03ZEUzkol03lxXJr+Ir4tyGWY+UncedTwr1R91RS7p0/vXdjZpvm4k4FjUwW8V2506m842UrRKlk9YINLgEAfC+4ANtGsle9Kt3MvKLwfmLKKFyfwNK9j2AY45kv6LptYzH5KzVeHLgnyQSNWsf7vmWk0mJ3iVeaUs2FDMmkuUzvosGCcEOX5x0e/AYAgNeGzG5+XMR5fO7UI/HKgxYAEOWVRZoSkUDRk6Sa99qXUUPIioAv1Fzt6nHoE6SvJJODRK2eIOwumfgeyQj4RDKZl6N+PI/JxAe8bKN92CSZMEZSCvJBzEeBwq62Q/UOD6ASe3MB7W2me7QAQqXmUtJ087VXC0ol6TOWdoMvsFaPuEYoSiGo2/HQxuwF3VTDkUmP+OIvHsF7L/o9GlKfrsikmMMPvh0CjzqquS74zZPxZ73sqMjdI9yKJ9pIJvokrh5cZTNhiDC65JXiWBTmTmmiJpE1m5PVmgq8fOfL98t1DP0FOX3r17r2/YbDF+PIFUP4zoePReCxRFU0T8Rc7MJw22Oo6zqv5COMWvX2R9FzLWWDa40Iz+6cwEMbheQZxGQSpSSTAVQ7qid3jdWwaLCAw5cl0dOxZFIQE1GWmmuyKd/agnIARgmZcHneXpQdnPbxH4mFytLqBpx72lG44VNvworhUipNicfbq/iAVtvaIFVEEsWgjDJqmXVWOOe4XpacnVf0E/INhEqv0KTmygraE+cprzMAXpgnJJNuQYtK5egJtVqBwhbnhnrYRCYksiFzYkBUxyIaT/WjpLYzTnhR0oYRAA6fIqG+e81HMcqG2y7GdI8+JZl4klTbSybi3D1GCDRvrgJa0/80378XLc5fRrsXODLpAZxzXLZqPVav3416yPH66F5ggyg0lcd1EciO5Qg8ltsA/+zOREceyNVLueC1TD4KepyVelCVUThAKHIf+WXM9xuZlQWzsDtDnVSoCHVaXvdoXc0FdM9YXK1HWDxPJv3TPVzkpN4gv+0KW0lt84o+Is4RROnVfEAN1ML0pNOcjsJjIjGgpybHupgMvhhc1pbIgaRC379+6FU4/pBFOOmoZal0KgAQZZCJ/iys/sJJYIykMVZuLwpy8hqtK301eR1EW/HHvz8NxdvOx0tWDIlstUrNNbkHA7UdYIhSdh01eb7t6OV418v3Tx13EBWErADul1GmaiYR3Pz4NqyW9eoHi16iFpTEWeSVlFpNLcD+7m1H4Gd//Xr8+tNvgs9IRsBLA3xhHubRZEebXiOMsHm3UPlx8uOcXs1EHUY8peZS14STB9Qn8Efs9lQ/6tnZX4vj8GQbACAmbEgBb+8gMFptxNJMUaopWTgZj0eHWpgoNZcg1uRdKbJWd+dmMvnCO4/KHMdUw5FJD7hXviQAsH2siq9Ofjn+HqCR8q9vh6wHzvcIRd/LlTVYD4BSAXUDBa/thBZFHAMFDwMFL56w1YMaUANcrjTn+3XsypnPpzn2AgAW/MdJAPKnsddXW0B3L7DJepgEmXkMPoViUnzNRwEAh6N98KHydBmpNLBrvIbN23emfi+j2uK7n5XbSEUjhxATDwCc6t3TVjKZrIW45uEtCDyGI1cM44qPn4BlwyXNiC8MpbH7bNP5AsAfv/qA2E1UN8aykkix4WWojVTU/HxlrH9c1DBRxuaIPODRnwMAjqUnU9dNTUyvPngh3vWK/THoJc/bACoIvRIoGBBqroyFw+a9WiJM35OSiR+TSZmqKdJXiyvfY3jVwQtxxPIhTfUkn7PCPMxDpeNC5avXPY4vXCXqjgjdkCxm1kjfx6wUOT5CQUDxmJL7qZxW9MJY4j4olZqQggLeap9RmKiGWDiQZD8GACYXAc2ErN7vwaIPPPxTlFFJq7ky0v+oxcAX3nkUrvyEeMZmAo5MesB7v7sq/nz3M+lMrvNoMmWfaIesFyKQmYerOSSTkYpOJlIyCTxMtJnQwkg8/B6j2KWxKCWTImpCTA8GMEC13IFPWcWw2NgW2Z+tZNK53ZrNI7HjQMFjIiIaHnDUHybHqLde/0YY4fM/exhAMsl6jXQgYTmjpoi6F5f8xXHxtsGi8jJKstkC7e1Vl9whjM2PP58kh1QG1UjzcOKNVuJ64+HCFnTm/zg03uZrkxjJFDJ+1GozUTr/OKZku0jdwWTfoTZxVhGkyETZl8oBw5uOWIo1X3xrcv5UQcQKQFBCqY2aS5c6Cr4kfU3NNdCU4r0elzHQPKwkmSgDPLVJjaLjlie2JedL+rVNXx8hmSR9EUlvLs0tXCd35U6v139nREk6fs8H/FJHz76xWgPDJXHNlUTNeAM+Gi12J+Uws3RkDXDlmThj97fT2R6otQiXelYXzyvg2BctyhzDdMCRyTThcNrUUoY3C4qEylr8gYhlyOcarJdZLaTUXO3IRKzEPEbYPZFO6FhEHdwXkkkJtVwpTYC0CqbB049UXrtRM5nksdfcsU5IFL5coeuToui81X5w9YNJqVn1QpchJ5iP3wEA2C8jU6xaPesuoQvKAQI1OWqTQLtrn7VS9RglHk5ywtMTTyosGSqiFDC8dP/5SVuPYjUXlRSZtEomG2X55wFSE2mSQiRW033gvwAABdRT91NlSYhX4jz5rYwqIq8AFAaEa3BW8Jy8Fjf/3R9okpyfkAmlSzXEkkmTUVw3wJMXiIDHLnnI4mBQllxbNKkB6yGHxxjw2K+ALy3EeytXirT12rOkE5ByuddTEQl1p7wPlEhBlOEMwTnHI5v24oCFSflhhSy7k3L5V+qw5fVNackErUGL1UYEHw288pHzgS0PZl2eaYEjk2nCUtrbUXeu8JVrHgOQXs2qPEF5yES3aygvIZEoMXsybkRcTGCa8eT1h4sI+AIagFcCiPDysdtzp8BX42SIhBFS7y+nR5i+2gLQknE4Kz4jLvbkM5GxtYlMqN6aukSHmhACki/08peiURjGCtrVQmZ6qhsFEZkdIiIfeg7SLMlk057JlOOEgpIOdOmGRa168FpG9L1HBF+NvYNk8k/XPyF20WqXoF4R5QZISkUDYgW7lPZiUoue/swVYjKKn8UoObcSaiLvVVCGRxzIIMGvXS+koMOWzkNBep+F5AGMocFKGGjKfRUnXmxy101LJsLLqhG2fz7DiKftGM/8FgBwwq6rU/s1ogj/OPHPwH9/GOARzpz8NwxiMo62FzslBKTe6YXRHuDLy4Bzlwj7WdyXH5PJyPh4y3M0Umlg/c4JvPpgURNFJ5MSqi1u2R88XjiyHLZC3J/Dq4+IRZ+MF88qX9wY24F1pdNx6FP/AXzvTW2v0VTDkck04Rj2bMqekYV2kktsgG+TklpHKtmhl6h92q3sQ0kmjCWFqJTtoUh18SLseBI+b2D/+vrMYzRDTZ7N0sWL2ZZcsSqvPGhB0nYo8f7SJxk986zCe48VL1rACAEasbePAtVbJZMf/i6Ja1giDfixEZoIkV8WNpN2kolmHyr4YqUdkQe87H0AgFXh0Zlk8oPbns44c8BjSOwWnkqv3sgMXis0BZf6THM8KAqbSdAhCPDko5YkX379v2LJJCI/JqM/8W5LXeuHpSowTpCokUmBQpEGREoZVO8cYyOul1QLAqgVFmARjTapueQCoVnNRYkBnkkpI4zykQmYDxz8egDplPtqvzdXb01t2592ptRcpNmhlM3kyDv/HgirQFQHQVMhssSzj4W1luDhj10mqmSukIGEvmYrLGfE6lQbkUzamFyPP/VvRc2T3nAZWa5p11OtF2QG4MhkmjBEk5mSySf/8z589TohjXzq8gfi7S9ZLiYDIqH6GCz6CCOeW9UEJC9gN8nEZywOtKo1knQSRdSEmkui2ZbQjCji+MUDm2JVWzOZLGfdc1UBIitqLLq/6s8ASDdljWxHM4j3f0kvFV+pT6iZTFrHr9yXX3bAfFz0Z8cC0MgEkJ5JtdZMsRmSiXBJFjEJmH8gqsMvwlYsyJTG9NoX570nyRDEGMXpO/SStM33vdaIYkcJBaUiAwBINVezq62O975K88a65+LYcByRBywT1/JZviL13L77laLN+4+TCbybiltFLAB5QsJbMJ6exFrq5XgMPhpSkgMq5eVYjnRMURiruTQPqxY1l2gfNtov1mphFE/wzPOAI98JANhNC1L7Zb0nPsm09X/8AzmoROJSNpPyiBZsWdmLd3nCfqq8uQCgSLUWibpZrV1IqbmqLWquiWooApGbKlTWJZkUeWukfYUGWs5pJuDIpAccvKjNTZN5gLIkk2se2oLv/fZprH52F26WBa0OWTyA4w8VYmzgMaBRw8oxsYJpPoaSVJpKKSRt5f92brFKMtk6UtXaKTKpg/zE86PR6FyA6Gf3b8LfXv4Ado7XEGgBdHzlyQCA//S/1FU6e80hC7FosJComuQqN0AjztsFZJcwVu6VvlTXNKu5WIeAuH9678ux/4IyPvTag8EQxUTEAymZNE3mW2UQ5kDl+dgNWNkA4vgHv4QS6pkTlO4w9OHXJjEKKuJaGODFqnkA1ZZJqNoIW7zm9KBFJVlkSSb7zy9hqOi3eMx5OpERISwMw2tyDQaAgxaVMVSSK/qmSY0zH95GkS/sLU+cm/pNSWifO/VIADJqX/UHEck+ROlsB8oA72cY4BXhs5hM2tskt49WNTWXH7tdN3u7he2eby0QlWk2E/U8B6NaMO6P/hjnBrLwK0uM/YUOtWniqqJoxBJXuckjbrzawPVrnseOsSrww7el2tc9Ia0UMgqy1Ttcl+mEI5MeEHGO97zqAAyVmgy/QRk+wo42E90TbKIWxi9PwAj47dfw9nv/CsfSEy1isloxDzbVIgGkAf62f8bK+pMtQXcKI5Otab/VKrCABsgvAqcLvfIgJrGng0faei3GpR7yRDJZeEi8feue1lxRetDWp086QgRiIUQdAVAVksNS2oODFiW+/OqFycpwrCZVNUnhPd8H0Fmy2k+qGQK1OlevgozmbiaEe57ZBUKEw/7jeODKM0VbKZnE+vU2bTnnuFhTr+nwGMFXRChTalwYfCszeC0lmdQmsOzxHyUr22AAIfkoZAQt1kIugkeb1EKejFmINCIV40+ej5FKA/PLmmqoWbVEPkiu3GPXXW3MQOIYEkivO9VfFAy2enNlODrEkom8R54v1VwZ3nqp81OebsxLyKTJprRpl5Z+Rote5+THEoZuSM/Mebfp3vijLpmUUM8kE4YIS/aIKps+QjQCsRAoUS2l1r7zaeFgkpUWKKJA5ADj4n7p7bK8GGcCjkwsEUYcz++tYL/5pdZMsK8+HT4auWvAbxutxi/PEKsBt/8zAGA/2pWhOxcvyEChNTljgQG4+cv43Ka/bqvmuunxbamEiQDHwge/hyXYK1auQQkYEBP2ICqZAYkKF968LvVd6e9pIJnww8oomvGbx0Rqj/Pecwxef1AJf/rEp3EEbRDSQVlIaK+hJ1IJKBUBfvSNh+Kuz5+I6z/1xvg3j4kI+FAlwV58OIBsyeStRy7DMQcMY4H08xdtEz0+goGW2AdATG6LCnLbE9fKbdJWo/TrfgmlDBWZLmF98i0vTv2motgj8oCKINJihs2kpZbKTefioFX/G/8r+LE8kI+6V5Zqj6RtpR5ix1hV6N15+pgek5O7JDH4ZRkMmOy3d7KO4ZJGJk1qLng+cPzHAADrFr059VMzMahaHIr0eWEeBiidNv/ZHWIBsJ+WnNCDyBKgqh8GgRjPZDVb8lTHiyUTLyEGX3smto1WsGtUW+xoSTK5JmEwjUyUwwsPsrUSxDygLFRpS2lPppr6I951OOGWP8UJbA0CNBAWhIr7XWxVyjV4MKNcgULEfCAoocDF2HR1csNJJnMHT24dxYs/fy0aEcfSoSLKgQdSBrg/OBsoDMFDhMlKZ4OkDo8RiqjhTvx5vI3AMzOWAukHTblRDrGkv6zVyfaMcqgfPXQ35t/+JVwYfEv06RfjaOp5NNm2gFYzhkp+oqoqL0zOocluEUU8zjP1oeMPBtb+GoftXYWTvPsRUgC88sMAgPmU9oTRC28tHy7hyBXDqfMPdJuJiq7OSHq4fbSamhwDT3kKSRVKcRBl1DDRtBDYPVHDyoXy+JSstHW1jXCpbi2m9JSWqfnv3/6S1G/zGrswH+NCMjlA2HAejw5q8eSbqIUp93GMChfnFSQDZz0fESui2OTSrcoTH7io3CqZxMZ/Mf5o4WE4jLa0kMn8cgBsfwL4P/OBTfeljsFZAFr2UgDAeJCWGhUhJ5KJuE+xcTsYxDxMpuKpdo3X8Cpai/2L8rm740L81a3HirxXmmswAIxPZr9fyskijsFhQo1XpSICnrTZMVpL2SxSIE+TTJJ3YKRSx1DRj8fQ0ox5wEIRC7Q/7Wwhk6VDRbxlhRjD//UvRgENNAJBJh/2b0rZTNQzcP6xrdXQheRURiBr9+jzRKP53f/JXwDrf599nlMIRyYWuFJLXji/HKAUMJzC7hEb9qwXqzUADz63IyUFcM5TunOFL7/7GASMMIy0SigrMEu9oEoymV8O8NrDxGpe1bUAgL+oX97Sz2vO+03LNkUAy0gkgyO/BMiV0gCqeHjT3rbJGnV87U9enqi5NDI5sJJ2h9WzAhBRrNYCkIqMPoI2ZkdGN9dKRRKBrFauWCC8vBY3nm/Zd8PuCbx4qZYXy6OUZOIVRcxEc/aCneM1LB9QHk0NoDombCaUREtTYVC6uqbvmZJcS4GogaHjY3edjDd7D4qJsjCAsUUvw2a+OBU/BAj9eaqwVrWJKJmPiAUoUJgiIlXz5Zj957dIFR5jMk5Gjn9gIQZRSZF4TCZSGsPDP0kdgzNf2AkAUNPxr7pvE4AksaHKocZliVoqzsMAKqlMD+OVCn5WPAdLrhaLCtwjjOCHsecRqulKSlKVSrYa89cy4Wjiriu9x6iYkkz2TNYwXyt9gKPelXzWXHxZlJZMFpZkdnCZbUGHrlIroB7H+CiMTNbjZ/xQthUlqkKv/6s7Laj7eGLx8XjbhuJKsZ+UTBQ51rV5Qkkm4ZB0uFjzM2BXtjfhVMKRiQW+p7l5zi8HKPgMf+z9TmzY8lDKK+fkC26L9907WW/x1rjvf78Nf/66F8H3WFzCU0FUhsuOblVkUgqYnGA5/nxrUnDyhCi9gtTx6ZOOwO2ffQtOPWZFHFFdhHgAKSjFbqZDmMBXrnkMf/+TB1smSD0j75ovnYxSwFBWcQyyPQB8dPwH6fF3SBETUvICf8i/uUkykaqLZjauTeDorb/EAKqJAb4wiDoVMiWTSj1MqQg9xqQ+XpJJYRBlqqXid+phhAc37MGysnYvbvoSyqwhU2/IpI971+MItglDu9MZfrfKlCK3ffYtbc89NuKXhjFME/jQxXelSGG82kiX7H3q5vQBWAAuM+NWUhHs4hhDpSCRTPZ7BbD8ZVIySSQrkqnk9XMfUWSi7CFhetXLKSGTZrL6V6kGXbtV3Adf2kyUjckrzRPkV0mepV2j4h3wNsnFmeahF9u15ovFwsBYkpJfRy1Wc0lnFWWw90qINHfxvRN1/AETtgv82ZXAieck56W5+OoENDLZwH4lSS4Lk2wECnqcSRF1bN6TtJ2shag2IgSFRIW3lEZQHUqOo7sG756o483sASy97xtiw//Zi5FAuHfHkokkOl0yWb9duHPzFUkWcMyb/jT0jkwM0WxQm18OZDoPuZKUEeSAWNnrdhOVln35cOJ+u2hQEI/vEQaR1gFn1axWL4oyiq5cNoTg/7V33nFyVXX/f597p+3M9vTeKGGDlBBaKFKCdKWpEQkg+qAgTUSKoOR5HuCRIihEpSMgSEeBBCEg3YQUAum9kbZJtu/M7NTz++Oc22Zmg0tINvl5P6/XvvbOmXvnfu+5937793tMQTXt7B13AoFxGaYzdGRzDKqN8qfv7U/P924EnApbEYyADnAeb86xjyls+uiukYmFAwQMg3JLGIbL4Ur1kr6QGetJ6530jjfO4kZWZxXZdLqYqRUzcWf5APDubRy7eCKHmwtVOxWNjBEhkPMK53xe0pHJe2JcdgDeYpbBMqIiRdyVPPGSruVp+tzREJnxILfMP45ykqqlCGBuVm1aohs+8pz3pTlKQ68uC3V67bYgjFTZFmpzwpm39lSOcquFRz4PhSuQm0GkESRExlNsulYnO5SFTIfZmyGQOUxDperKAqvsvn8uJ5eXdGQU86u03FxQ1B5fmEGH4Re40Zyu1DoN1uoFpi0LU7tTs0knrjZt+WbnBxKN0OQkLhQKk3CHa18X+lbqYLvOXjNMJ9vOyDoxoeZkxul+MOgwp0oebXFVDSKPYEDWEVqtHRlOlFpxDBS/YyIQtN1j5WbW41q+9Cn1fgZD3ucgW9aDdO/9eDt3oCc5Zl1TgpPNmd59hTq2yDJx8Yno2nfVdYdccZ2Yq8ZoB8EXJl1EfcEaGZGgSdA0mJNXQV/OvN8uvOsjmjz7WlpiWamlW93M2NXaorBOw7JMft14Pa+HruO8w4YQMAwGC++LtTQ/sNNrWKH96KyfBfVqgSrLzWW4XpADDYfxuxlbJpdnXZOi9ZyD1HkCpqAcTX+oHKoG6Spd6elF9cQ0VQh54dihasCVdmkH0DU6WpyFvKx5CMq0OiabgsdOhX/d5xzv0mJzgTJC+Q6PQLL812UuyyRgGp4lYa126glX1+X1Wrs8vrLY3VcpEuS0MOGk2wHYmKsu2g9cDTFb1sGz53lcD5abTUSq7TUu3EI4kc46GXzpEgtgGaZjmbhiEA+8p84RDZkOszfDkM/qbK4Cy0RbqI3xtK0wVEYC8KkO9BekBmMEbbdTZ8sNX3HcHjCximvnnaaXttXCpExZsFlXkkZb3KUAFMRnbDdXTMVmwilvPzyAm/42z07w8KQGA9IMe1L2mxJpp+jTcDoLq4NMiFSSMqLE8g59iXSWc9rV+0mpDgtmSFlqRpDKYM6jdL2zZItzroJj8uFKakSbZ7XKZDpPs1Hj2TWrXYRSqGLRioQSdG4ld0L+7+o07fXOgZHSz+RXCV+YdBHulQorIwFG9q0gFDAIiYxiZj33KhIm1uI0Vs8mqzmjVVsCBcxYZ0OFS9SqvLNECY3BLbPYx/ick/bti2mKImESkJmS1fNDxUZuW3serHrfWYzJBSOoO9fWDveMtyQdjfTCx2Zw4WNKY5pwmKqZCJoGUcuyCsXAMMgHY1QUrJpouZi+NkD3mHK5HbIFdSKj1jxub1vFbHUvHAv3joZN82DNh579cy7LxMrKcqchO32VTOWumf04PTrWqkwhVzZXmDSJDud6La3vhL2coL+FGB1IvX63VRhHicp7D+4ZBYtehXsPdNGuGWy02l7jwmJE+bwkkc5xzZwT4MX/6kSYBKlqXsg4c44nBmF5BYOm4WRzmcrltWfTu9SINieTLdqDsMhQSTtb21P28zqkdZZznoJrE6bj5kp3kpJabapjYtkmwiKjtH4gqIVJPulcT0Obi0E/dbbnd2yBr2N6RkHqt5SSv0xXmXMj+1bYqcFWXQqmSlCw4mEtiQxhwzUnhkuYWCsfGlGCOSeWmUjnmFmpOmJz6CVF1yosZSxcTg8z4VEILG9C75j3OZdmkHzVYAaKrZ5srlQ2R8TQ9/IXSinIJ2QADwAAHuxJREFUasVFGkHoMYKots6smp7NbS5lN66FV9VgqC12yX3V8IVJF7CppcPuOAswd+KJBEyDcMBQgVczptw0WpgMMJUw+Xil0qAsLdnKkDrjgAH2b5Vnm+gllK+TWE/yRpAKkeDiJ2dz1xtL7P3unlrc3yloCAaKLfbntlAfQqLYqgE43viEntmN8PjpJTM8hBYmYtSZZKVhZ6m53VxWg0XQHYPzOUK5hO0qs8z8nF6r2y1MRvWvpGd5iLNG62t39T2yLRP9UqfSDkPP5vOcbbxPKL4BWtfBkteLaM+6LBsZjFJG2tPaxHI59CoPwx8Ph1ev4JyPz/EUxFkCtjzhuDaaE2l6locJ5DMQdhotApSTdCwTq62Iq8HksvqC1OhOWoBYDD0QqyYmUgTI0ppUTO83ur9VJNcO856DpFJO8mWu7ClXsanbGjt4aK2jtFjnNkxoXMEpC65hgGhwXGzVSjG4LvAsW9tTtiV38JxfOucpFJRmwHZzdVbfEIg7iRA1tNtuNVuY6GSCd5dsdtZnKQH7HpkBsiLoaZfz5LTVTHxlgf35wQljvL25AALKMrE8BM2JDDFLfgjDif2ALfAygShBl9DqSGU4vvkF/XvFbkthjdWOYDCbPIkc4/bpQ8AQDChLA8JuiiqMIIQriZH0xExS2Ty1RlzxE22N5dxursqBmHn1rFjX9Ou/LWBuXguOPXWh40EXlJzPrxq+MOkC3K6Ph893WpEbQlkVqioViPUC4L/NRwEn6GwxttvO/Brj9unD+IOV75eJVXz7nWO5LfiI+hyuIFfWgx6oTKfCOMO08GWezwHTYIDQFlNFf7LBGCEyngfZ8sVm3K6kev3yRRwGaVkmRHsSEHkqtZZsubneXuQynYHeFRF4/Vr2f3IUo4XqcGpnsyTqVR8hrdmns3lmrm5ia3saEd8CzWtLWyYWPS4NvC2Z4beh+50T61ocN9wV8PlAWVETwXqttfUty0ODotWQWcJkbPcBvevUPsll9nFN8Qw10aCKFxQwEENIT2oweBeoevSj1V4imwo+F9AeKFPXXkHCtkwWbWxlsHDN+yz1nGSGHuMixKBh1IUAtCecOe3IumJEqz/0/rfPrb8POymq65uclN2yDte5k17XrWEG7WwktzBx+/DFrEft7ahIqYI7IKDXYMnr+7yhucNpD1MC7t5rWSOMmUuSz0vS2Ty/+vsCHp/m9JLrUR6yBZNhLYwVCBMWTiFhUyJNeRBlhQjhtdS1YMkHyghKpyNB/3RBVtTEFvVnH6afj2gtFcTtd3BzawcvfrKORcHz4KPfQ6RKrWEDyjUWihETKXKu5pWxxDpOz71ldzdQ121ZJgH7fsXosFPZmxJpeokW3gw6SwXQSRrzVw1fmHQBbk1//0GOD1IIiIoOZZmAnRoMar2Gu95U1kRHJsceYh3nvv41Hj5ko91ssQjhCgLxer4TeI8aWgHp0e77CZevOK8eyV6ihbZwH7h8NsFQhBBZFrqW0bVSREfWuM5pMQZXSqQR1Ga6Foh/PVe5u5oTGVZtjfPDxx2Xxy9PGaniDzMfBmB84F31RUFgMtygepFZ1k1tLAR37Qm/+5rHMrEZ+qlKUKxPORXJ6xs6X8d6Y1+VJZV3xUzKEhs43FzoYWpWBtqIxX/00keatNA0DzoYgHTjOoZerxaRak6m1WJG2bQnSOvQrcfsugTnmkb1V4zg3WuOUQOlXFQ4jFLogrc5kZ/Y8bnKSJD7og87O+v5ltWDPb9h9FAFkYk2h+GnMjkqjZRqRb5ksibYG/fLWwpGyEmZ/mxdM6lsTj9/LsQLgt6aUeUwPcLkrjeVNR0NmTDjQe/57EWu9DLF2jIRwrt8s4VEdID3OFRmVoQ07eksv3+72FqPhQN2arCpA/CWm8taRbM5mSEakI57K1hGUmiBYlmb2ppp68gyfWUD5ektbBOWshGpolzGaetQ7ubDb3uTGElXSxtpd/4VgaBtpaUSjkvtwvUT1UbUcYdbz5oUQSfr0tUHcGj7HFXsHO0Hh1yslKP9xm+b5q8IvjDpAtzrVPSqCMP8F+Gh4/j21j9RTgfZgCt74hTFEB8OOhp0oGk5b4WvVR+ePa/kObIYEIggdLbOnMhPWB35Pm8uVK6CA/sWMLP5L3LngqM5yZxJMtQTQlFC5TXUiHZPsdyzM5Xb5uD+ruPj2pqpdIL1dm8unf2xz5z/ZXXkXFoSaY+Lbc6vTuDio3U1d5k3SGgx1Wy5ynOPNinGYs3fL09xLSP6sWNt2DGPujPIYtKRTvH+UvXy1jcWMLVafe5zn7OLvtwxk3Bcr1uScBjrppYURxrzqJw1yR7rCNUSEWnSaGESqSYrgrbLMZ+XTF/ZSHkkoCwTM6Qyf1ywLSrDIC1CmK4ssiU6+aBnhf79T56gFGzroMxhHLdNWYSUkpZkhv1zC4qOEeW9PZ8jFeo+pNodwduSzHBS4jVvK/KBh3iOs4WwK+NnRX07qWyePYXKROPUuz3PiU2DFiZ5YZJxNV6cqRsaHtGn2G1lW5CaGSba1Vwn0jlMawmDYQ699QNO8NIJZENV1Ih2muMZFm/0uhKfufgwyKapM5SlYga0wIvUqkLCjOXmShMLSE9APGO5kaw1SQIRwiJDazLD1IX1XGi+qXa8dHrRdYErgSVSRTQfpyGepumd+1gRmcDewpXKfMm/7HdcmEHbSsskned8WFq/b2c+4Fy3JeQMYadrX2y+Zi+G9x35BgAD9j0CaobApdOgYsenBYMvTLqEhz5QJu6Pv66D0y9cBOtnM67lBapEO9mAo0nTUxUXjTUX8vXeirlEmws0qGSTykhyIU5ZyS6OuYxqINjWVKAZvuQUTuVM3TKiZiB9RSM3v7LAtmge0+6WEVVSZXYEIvZ69bg1XEuY1Cj/udDrQNC6jsa4k3lVEwupFYhWfQCDD3dokMJ+OVvOeBKAtxZvZUubkyYdK9EKBlzCQAgSRDjW+Iwp89SKjVubCoRJ4woYfizsdSL5oNKo3W6uzaPUvBjtzmJY89a3cGTE2yNLoNblSFnWhRC0ikoONxZwnPGJLcSnr2yAto1KmEx4GS54zf4N26ICUoTpSLTb8/7kdMXQYjKu3EvaqqDfAQXXrl/FXnvZY8+G/pdXPttAa0eGuRFlMVHl3KtCYRKOKasmrYVJKpujobWdfbLeuhcunOz5mDE0A+wxwq61GNkwlVQ2xy1B7aIacSxEHaUhjtLgrRqOVKCCyqwTS7PWivlub8f1lDLVfcoXdCpobVXCpCmeptYqIjxwAlw2G27aYisLwp0OXTmAvqKBpfVt9jLGFur6V8LLF3N5QC1FHAjq+EfNcHqINtZvVfPTnMhQFpDeWIkdl9ELlQWVNdPakSWZyXGM+ZmH9kIIl2VSlm+nrSND5Ye3AvCboK656j8aqhzBbATCCJ0mnU4Wtx+yUqEB0vo5FVJCUgns8wNTSWoXfD4QJYvJ6HHnlqRvR8IXJl3Aa3MVYzt7dLGGdoCxkpzbMhnq9I76UeYvAMxYW+DiWPhKUUZSVuoHW9dpWMhvms/ijW3ItDaDXQzcgrR6CSWbGCi2MlBs4Ylpqz37GOm40gjdrqg+dc62NV6QzTV27QM0tBe0Vln0Kjx+mlMdjWaKWhhW9FCWSby1gQffX8FtU5S7q29HZ7UmDrOoJE6dsYZ94jMA2Niote2++zm7r1H1HPmQZZk4wiQxSM2/PV/AhuYk3xVTneP77kc43ch+xir7JQUoq6hhf2Mlj4buslvWP3ZMClZ/AP0PgFAUhjn31y1MjHyag42lfPq5Yx0M7xVDTL4G/qwVhyFHUFQnYiHmCIhDjcWw9E3mrmtRq0YOOQJ+Ng+GHKnOVSBMDB1vycSVNba+Kck9gUmMaHQKZzntd8oVc+MmFg9W7o+0e42Pgy4E4H+yd/Pxykb2MrRlUjPMcfFFqonrNudCj7VEh9KPLXbw/+NVDRjkGbfgenXMpdNZ2+MIwKU0aIacireSz0uaEmmuD+kK++VvQc89IBCylbSAdCyfcI9B9BeNrG1MMHNNo6ezRGU4oKq+NQKaxrQWZrf/bSbtqSwN8TRjG16CDudeWRZiTgtYMxghTJbWZAajQJiVguESJobMMUxsYktYCQN7Ls/WbkrbzRWy5yLboZ7X1jb13NVX7OupkM/oe2WQh1FnAfBObn/l5pKSg5unKFdhqbbiOxi+MPkC5PKSOWu8+ez9qyIQbyjaNxN2uXtc2k46GaclmWHpFlcmTFkNvHqF/bFxL7W4kh2ArHHalAOsnP4Kv526RK1uB3ZMw428ZVVoQXZd4K+sa0raLR2uPn64CnqHylU7CAvVrnO5hcwpjotubXOaTQ3N/MicTMS6tBan7iLTX7lOQq4256Fy5bKpIs6m1hStHRn6s5UDJzvrtAMsrbsSACGLXSIXrPw5HZkc8YTOqHEHE7+vGE9Od3t1u0EMHUyVul38N+55j4UbW6nJue6b6bUoLAiXW2C+Tuvex9AuikN/XERjxmURxUSKOmMNhlDZfwA/qp2rsrAs7D8eRqsMm2UjLlS022mv3gaCjXNV1lq5jDuJCd9/Di6bjREpSFXWKeX7bP0HoAoWTzVnON/32gfG/EBtB8tIhZVbKyddjCdaS2tUWT+TP/jYGRcCxurn9bJZhKSOj2iNWkaq2VesYsOjE0isn09lJMgVgZec43vuTVZbznaMSWe/Hc0nTHpnOY3xNBuC2vLSi42B81wbrucjHDDpLZoxV7/Pyi1xRtSGufK44Tx71CZ4y6lkBzB1w9DyKjU/1aKNtQ2JkqtSWpZJXgsgM6z6h7UkM8h25RXIj73K8367YVsmbSpp4cXQzfRzJXOke+yjLEAcS8sMhm1hktc1N5tXKAto857f8fy+JUwEEir7IauH0EQF7R1ZcsnO44o7A7utMBFCnCSEWCKEWC6EuH5Hneetv9xBr0cP5vYpqrjv+pNHUv7pw3Dn8KJ9PcIE4NKPSZnlHM8MPli6mRCu1Fl3Vsw5j9Ex9Hj1VSfZLD83n+HdJVu4KKBTYj2mr2KEmaBmNnXfBOB0czoi3cY/5itXzfiNdyhLqN/+qnAN4LrV9ksNeDNaRp9vb37beIcfy+e4KfgU077ZDLP/DG/coL4s70P6UG+GmfotxQSuDT7L17ZOoW9lhLvKn/LuU96XVExZMIZwaX6n3m1vtiYzRK1K5QPPgwPOg58tgOHHAJANKIYmXGmlgbC6plw6iZSSpbqlR5PZQ626d90aOP1ee/8Ol3ZutZYBqFg5hTOMD6l8V3UKoKfjhrKQpThb5udPz+Cypz8hQopz1/zK+2UoBmMugpu2kIiqa5eulfS43CnWqxbtlJNgeG6Vk9UTikHPPTAiFXigrZrDW5Sl6K6x4cTb4Mfve3aX+l6LvDelNxxVv/thWAn55nG/VV+MOkNlLpX3wrKshH52QqEgMZFi+MbJND9xPpGgyVWWMNlvvNauddaXFioWQx5rLuSKD8bQsvAtjspp4Tfc1XpGP6vSJUyETpU9a+VNVNPG1PjZ/Oxfh3HozKtVtpQLgYAS9r32Vtb8KdFFbGlPcZihLGXGP23vm7OC/JpGo3Y4A8RW2uNx9lynrseIezMa3bBjjsO/DuC47TSCPRw3pZ26HIra7e8Ht38K62ezx9+UwlVd61Uac1aBqFVoWlZNrRGnLZUlvVrNXUvZILoDu6UwEUKYwB+Ak4E64HtCiLptH/XlMGRAXwaKrXz0wT8Jk+aEVXfAP1yy66hrWBg7FIB0qECY9B5J/QBV4PTue/+0K5vdLjBqh8O+Z2FGrTWhO0+NPFAs42yrB9gex6sg9NCjWFyhXpLWMu1+c60nwuIp3DJ5EfuKlfReab3c34Zzn1UMu6zGa42EXAwqEIYf/ZO0FlLnmm+rn3/9Unj1Sme/K+diVvXtlG6AixvuoL6hkbFZl7Z7yTT42Xy7nbfHJz7mInvzkNvedupoakfAGX/w+JwtLdJwCZPyciVg/rV4Hct0xX+IDFW5Zhh6hGoT3ndfNtWp82Sk8yqIo6+xt+8N/I7fhVzZX8FiX7nbzZU5QfnHR7ZPZ8mmNsYZBT3SDpwAI0/TqUshV3aOS9PtMQKums+0XB37iLU8ELxHf1HgGgsXWCblDuNZ+uh/ebL5qOxfXBdhad8Fa7eHz/M2CTWri106lvAzwmo+tox2nof+qRXk4k5xLyfrnnGaUafxxjgsTDCn0iu/WSlbroxI09p29/469kYW5odQkW/l00ixteiGsOap5x40lQ3h6txjhGY+wGHGQlX85xJclj4j9X0O1fTDEJLPlqzgwpRWhI7+Recns6zdvU6EXiOLaXE1ZIyjBI8ZLrctk/Gtj8FDTlpv7729yR5BrXPYrYPKaulptNPa2kquXgnHdw6aRHdgtxQmwCHAcinlSillGngG+NaOOJEYohj1ocYiXgxNZMTqgm68R11N0lDMMBMqrpBOHnI5AF/f8hfuCuqsDLer5grV/8qsVK4Vu/AP1EMb6828IxUzeznsMt8HjoErPoELX1PFbEB7tDiWc2XmYa4wX+K18E3O4B7jVED14B/qi3RpxYVdeQcexJqxikFWiRLtIwCCEcxexRo74NGG/97iuC745QYVqzGD5HVKqqfrrIumXjTxQEgz1ELXDpDVWUTujrzl1Yqx/qLlVhZM+i6jxVKuCzyDQQ4GODVC2V5qCd2qnMtS3OtEmNjCW8bY4utxzc/8/mfrIddSvj1UwdgDoXu4IPs8k0K63cshP4aL34NvTfIIbys7xyhUIqoHUVN3DCONzznC1Jlcx93k3SdcTmfYa+1zDJlzuzMw8vSifdK6dsI0C+559WA2R/ewP4Zqip+rqFACqE9fJWiG1nkzxO4XTtNRO9tPX3c26xJelziFs3YfqpNcx+K4qYS7lYsZ5JHsyUV0lYSr8Wh7P8WcD192J5cEXkX2GulxLVrWbV7PbbBGaflHrnQsZbciUwR36vgBJYLgvR0B066TGIxwrNOAfriX1wMSMtQc2Akblf3ZVy7jN4u/Qfl7ij9ka/agO7C7CpMBgLtl6Do99pWjpvdgVuX7cGPwafY1VjtfXPQG3LAeQjFkWGXRBCLFL/fedaMB5XKycZTWfF3ujHCtMn8X1Ixz9jvuJvjFMkYe8102SZfV89MZnkJDq3FeoMZl3l7+CVuNnlSLOFcHX3DGz37k37lsD6pHn8U62UmjuOtUtk4wpuhLiIIWLf32Z/NZL3rHrpjjeXkCIXVMh+l12zQMUimhMyM/dQZ7Fxug1TGl4fXr71y/UeU8DmeaH/FSeCI/DLyuuqdalcFARW8174N7eSvbAbKHFLTLuH6t52M4qo7p19dllY08lbaRys99TdDVrv3E21TwvgCBqHp2srFiy67/oefY2+m6c7xZd+Cperfw0ZFOC5qfBHTG2Q9e92j6FqrKFROtrC0+99JRV9nb4dpit4lxvHL7hbTVEgsHeHDMZM5IqaV7DzBWOOe2rmeIynCsG+B6lvuMIjX2au+Pj/ZWbJt6SQFPtiTww0uv5bGsWiJ69bDx0HNvlWBw0Ztwsyt+4FIyBp51Cx9WOELIKFCCWgLqOQ8GddbUCGUlnGYqi7r1iBtLNnhcm9dWobsliyuFPP+L1eT3PQeOvtYe26oD82ZFL08tiYUnD3qxaExoxauhcpQ+x6FF+9TGit2uOwVSyt3uD/g28LDr8wTgvhL7XQzMAmYNHjxYflk8/+wTcs0dR0h5c6WUH90rZct6z/eJpno5/7HLZS6VLHn8Z7M+kOv/b7RMvnqdlKl4p+dpXj5D5lo2lfzu0/delvP/OEFmNy0sPq5+jZz90E9lNp3yjM/5YLKi2fpLNnd67hXvPCFXvv/XTr9vbE3IzNZVUm5dLmUmVXKftvWLZLJxfcnvHn/iIbn51jqZ+9cfir7LZjLyowevlFs2rvGM5zMpueTWQ2XDrSNl6oVLpEy1lyYu0yETr98sZUebd7x1k8xPrJHZm6tlw6RxUj5/kZRblhaeXObfvkXK9q3F15NMyzcfuE5u/mcxzVJKmU+2yI2v3SplpsM7norLJb//pjPvzZ+XpltKmc9l5YwX75YdibaS33/8wj1y6SM/kjJd+tmSc59X98SFxvrP5QN3Xic33La/bJny31Lm86WPzaRk/Wv/I/Mlnsl0NienPHmXXPHWQ53S3hnWPH2FXDHpLCk3zvV+kWyW8r07S17LtFmz5dw/nCcTyz4o+i6fy8n3n79XNmwpfjf+PmednDTpLtna1lr03ZbP/iEXvPdC0XhzPC1f+Mv9su3x8UX3rnHTGjnz0Z/LfC7rjM15VcqbK+Wchy6R+U7uw4qVK+Xi6ZMLCM9L+epVUn50X8ljWjcuk6um3GPfn47pj8jnHvqNnHDDrfL6P0+VLcl00THtyZR85qmHZTKVUQOpuExNvkHec9898va775D3vrFA5ju7318SwCz5b/BlIUs0A9zVIYQ4HJgopTxRf74BQEr5f50dM2bMGDlr1qzOvvbhw4cPHyUghJgtpRzzRfvtrm6umcCeQohhQogQMB54pZtp8uHDh4//WHS+Yv0uDCllVghxGfAGYAKPSimL+0348OHDh4+dgt1SmABIKacAU75wRx8+fPjwscOxu7q5fPjw4cPHLgRfmPjw4cOHj+2GL0x8+PDhw8d2wxcmPnz48OFju+ELEx8+fPjwsd3YLYsWvwyEEFuANV+4Y2n0BLZ+4V67BnYXWn06v1rsLnTC7kOrT6fCECll8ZoXBfiPESbbAyHErH+nAnRXwO5Cq0/nV4vdhU7YfWj16ewafDeXDx8+fPjYbvjCxIcPHz58bDd8YfLv4cHuJqAL2F1o9en8arG70Am7D60+nV2AHzPx4cOHDx/bDd8y8eHDhw8f2w1fmHwBhBAnCSGWCCGWCyGu/+Ijdigtg4QQ7wghFgkhFgghrtTjE4UQ64UQn+q/U1zH3KBpXyKEOHEn0rpaCDFP0zNLj9UKIaYKIZbp/zV6XAgh7tV0zhVCjN5JNO7tmrNPhRCtQoirdpX5FEI8KoTYLISY7xrr8hwKIS7Q+y8TQlxQ6lw7gM47hRCLNS0vCyGq9fhQIUTSNbf3u445SD8zy/W1iFLn2wG0dvl+72i+0Amdz7poXC2E+FSPd+uc2vh3VtD6T/1DtbdfAQwHQsBnQF030tMPGK23K4ClQB0wEbimxP51muYwMExfi7mTaF0N9CwYuwO4Xm9fD9yut08BXgcEcBjwcTfd603AkF1lPoGjgdHA/C87h0AtsFL/r9HbNTuBzm8AAb19u4vOoe79Cn5nBnC4vobXgZN30px26X7vDL5Qis6C738L/HpXmFPrz7dMto1DgOVSypVSyjTwDPCt7iJGSrlRSvmJ3m4DFgEDtnHIt4BnpJQpKeUqYDnqmroL3wKsRcofB85wjT8hFaYD1UKIfjuZtuOBFVLKbRW27tT5lFK+DzSWoKErc3giMFVK2SilbAKmAiftaDqllG9KKbP643Rg4LZ+Q9NaKaWcJhUXfALn2nYordtAZ/d7h/OFbdGprYvvAH/d1m/srDm14AuTbWMA8Lnr8zq2zbx3GoQQQ4EDgY/10GXapfCo5fqge+mXwJtCiNlCiIv1WB8p5UZQghHovQvQaWE83pdzV5tPC12dw12B5otQWrGFYUKIOUKI94QQR+mxAZo2Czubzq7c7+6e06OAeinlMtdYt8+pL0y2jVL+xW5PfxNClAMvAldJKVuBPwEjgAOAjSgTGLqX/iOklKOBk4GfCiGO3sa+3TrPQi39/E3geT20K87nF6Ez2rp7bm8EssBTemgjMFhKeSBwNfC0EKKS7qWzq/e7u5+D7+FVfHaJOfWFybaxDhjk+jwQ2NBNtAAghAiiBMlTUsqXAKSU9VLKnJQyDzyE43rpNvqllBv0/83Ay5qmest9pf9v7m46NU4GPpFS1sOuOZ8udHUOu41mHew/Dfi+drOgXUYNens2Kvawl6bT7Qrbmc9qV+93d85pADgLeNYa21Xm1Bcm28ZMYE8hxDCtvY4HXukuYrSv9BFgkZTybte4O75wJmBlgLwCjBdChIUQw4A9UQG5HU1nTAhRYW2jgrHzNT1WNtEFwN9ddJ6vM5IOA1osV85OgkfT29XmswBdncM3gG8IIWq0++YbemyHQghxEnAd8E0pZcI13ksIYert4ag5XKlpbRNCHKaf8/Nd17ajae3q/e5OvjAOWCyltN1Xu8yc7qjI/v8vf6gsmaUoaX9jN9NyJMpMnQt8qv9OAZ4E5unxV4B+rmNu1LQvYQdmchTQORyV4fIZsMCaN6AH8DawTP+v1eMC+IOmcx4wZifOaRRoAKpcY7vEfKIE3EYgg9Iyf/hl5hAVs1iu/36wk+hcjoorWM/p/Xrfs/Uz8RnwCXC663fGoBj5CmASuqh6J9Da5fu9o/lCKTr1+J+BnxTs261zav35FfA+fPjw4WO74bu5fPjw4cPHdsMXJj58+PDhY7vhCxMfPnz48LHd8IWJDx8+fPjYbvjCxIcPHz58bDd8YeLDhw8fPrYbvjDx4cOHDx/bDV+Y+PDhw4eP7cb/Awfk60T+kXF1AAAAAElFTkSuQmCC\n",
478
      "text/plain": [
479
       "<matplotlib.figure.Figure at 0x7f60e7ee28d0>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# First: Square the red and infrared signals\n",
    "data_ir_sq = data_ir * data_ir\n",
    "data_red_sq = data_red * data_red\n",
    "\n",
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    "plt.plot(data_ir_sq[6000:7800])\n",
    "plt.plot(data_red_sq[6000:7800])"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 14,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60e7d92dd8>]"
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      ]
     },
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     "execution_count": 14,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
514
      "image/png": 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\n",
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      "text/plain": [
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       "<matplotlib.figure.Figure at 0x7f60e7e506a0>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Second: Accumulate the values, reseting to 0 every 4th beat\n",
    "def accumulate_wit_reset(data, reset):\n",
    "    ret = numpy.zeros(len(data))\n",
    "    sum = 0\n",
    "    for i in range(len(data)):\n",
    "        sum += data[i]\n",
    "        ret[i] = sum\n",
    "        if reset[i]:\n",
    "            sum = 0\n",
    "    return ret\n",
    "\n",
    "irACValueSqSum = accumulate_wit_reset(data_ir_sq, spo2_resets)\n",
    "redACValueSqSum = accumulate_wit_reset(data_red_sq, spo2_resets)\n",
    "\n",
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    "plt.plot(irACValueSqSum[6000:7800])\n",
    "plt.plot(redACValueSqSum[6000:7800])\n",
    "plt.plot(pulses[6000:7800]*10000)"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 15,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60e7de4a90>]"
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      ]
     },
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     "execution_count": 15,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "image/png": 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\n",
563
      "text/plain": [
564
       "<matplotlib.figure.Figure at 0x7f60e7d9c630>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Third: Create a dataset which indicates how many samples have been accumulated so far.\n",
    "# Will later be used to calculate an average\n",
    "samplesRecorded = numpy.zeros(len(spo2_resets))\n",
    "n = 0\n",
    "for i in range(len(spo2_resets)):\n",
    "    n += 1\n",
    "    samplesRecorded[i] = n\n",
    "    if(spo2_resets[i]):\n",
    "        n = 0\n",
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    "plt.plot(spo2_resets[6000:7800])\n",
    "plt.plot(samplesRecorded[6000:7800])\n"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 16,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60e7dc6e10>]"
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      ]
     },
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     "execution_count": 16,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
604
      "image/png": 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\n",
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      "text/plain": [
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       "<matplotlib.figure.Figure at 0x7f60e7dc66d8>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fourth: Calculate the RMS ratio (?) between red and infrared\n",
    "# After each reset, the ratio becomes a bit unstable as very few samples are averaged\n",
    "\n",
    "ratioRMS = numpy.log(numpy.sqrt(redACValueSqSum/samplesRecorded) ) / numpy.log( numpy.sqrt(irACValueSqSum/samplesRecorded) )\n",
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    "plt.plot(ratioRMS[6000:7800])\n",
    "plt.plot(spo2_resets[6000:7800]/1000)\n"
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   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Original comment from TomoStrap:\n",
    "> This is my adjusted standard model, so it shows 0.89 as 94% saturation. It is probably far from correct, requires proper empircal calibration"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 17,
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   "metadata": {},
   "outputs": [],
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   "source": [
    "currentSaO2Value = 110.0 - 13.6 * ratioRMS"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 18,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60e7f81cc0>]"
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      ]
     },
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     "execution_count": 18,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
658
      "image/png": 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\n",
659
      "text/plain": [
660
       "<matplotlib.figure.Figure at 0x7f60e7f812b0>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the values this creates.\n",
    "# Keep in mind that it becomes unstable every fourth beat due to the reset\n",
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    "plt.plot(currentSaO2Value[6000:7800])\n",
    "plt.plot(pulses[6000:7800]/1000 + 96)"
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   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 19,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "[<matplotlib.lines.Line2D at 0x7f60e7cd9908>]"
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      ]
     },
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     "execution_count": 19,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
693
      "image/png": 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\n",
694
      "text/plain": [
695
       "<matplotlib.figure.Figure at 0x7f60e7f3d208>"
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     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot only the values where a pulse was detected\n",
    "plt.plot(currentSaO2Value[pulses > 0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "The majority of this code tries to detect the pulse. This information is used to periodically reset the algorithm and define the sample points.\n",
    "\n",
    "The actual SpO2 estimation is quite simple. Accumulate the signals, average them, put the result in relation and apply some magic scaling.\n",
    "\n",
    "Looks like the magic lies within this scaling. More reading to do...\n",
    "\n",
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    "The commercial meter showed values between 88% and 99%. This implementation shows 97.5% to 98.5%."
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   ]
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 ],
 "metadata": {
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   "language": "python",
   "name": "python3"
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  "language_info": {
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    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
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   "nbconvert_exporter": "python",
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