spo2.ipynb 459 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 0x7f6599e41a58>]"
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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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       "<Figure size 432x288 with 1 Axes>"
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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": [
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       "[<matplotlib.lines.Line2D at 0x7f6599b59550>]"
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      ]
     },
     "execution_count": 6,
     "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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       "<Figure size 432x288 with 1 Axes>"
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      ]
     },
     "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 0x7f65972789b0>]"
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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
       "<Figure size 432x288 with 1 Axes>"
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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 0x7f65971e0978>]"
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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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       "<Figure size 432x288 with 1 Axes>"
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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 0x7f65971535c0>]"
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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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       "<Figure size 432x288 with 1 Axes>"
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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 0x7f6597142320>]"
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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
       "<Figure size 432x288 with 1 Axes>"
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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",
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    "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",
324
      "text/plain": [
325
       "<Figure size 432x288 with 1 Axes>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
335
      "image/png": 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      "text/plain": [
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       "<Figure size 432x288 with 1 Axes>"
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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 0x7f65970f9198>]"
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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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       "<Figure size 432x288 with 1 Axes>"
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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 0x7f65971bdf60>]"
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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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6tMtsGpzzGEV5Hg29j6yiWgKdiM4hokeIaCMRnd/imDcT0QYiWk9EP5jZYVocrDDdlnuuvv9wK8zXXC7dGAEBYKJiINDD/yMNXTPR1mymmk08R83dQJ46pMmdgHaznsDtdAAROQAuAXA2gC0A7iaiqznnG5Rjjgfw9wBeyDnfT0QrezVgi4MLppTLTMgI9Rx5Aoue3juFHWMVnHH00u4HY4CEH7o2px1/NrE7SMFXCLMS1jXv02xWg8oTKRqVyMtBP5n00yvoaOhnANjIOX+Cc14DcDmA16WOeS+ASzjn+wGAc75rZodpMd8wU9qX6bZ8Jl6oPJquihd/4eauKZM8yJMnRW0zaSTQxf9OGFGpTWkon3tOucBc0AZ5NPRZ9K3vBB2BfhiAzcrfW8LvVJwA4AQiup2I7iKic7JORETvI6J1RLRu9+7d+UZsMS+gTux9k2b+wypMvTBm4oVKCsb5k8slT2GOvJx2lD6XzAR6Mke5Xpu8gj9PX3k0dCD2MJoPGroOXADHA3gpgLcC+CYRLU4fxDn/Bud8Led87YoVK2aoa4t+hKrZbtg2ZtRW1Y7mhHJRPnfjiZHHQ6abnU2erX/eICp5qPSs0R025zyqBqS7VubNm57H+yTi0A390OXCNh809K0A1ih/Hx5+p2ILgKs553XO+ZMAHoUQ8BYHKdQXggztlI0cXLBEsnpMXs1uZjT0qRzFOVQu2pxuij/raph5F095pBToJl4kbkjT6PaXNze+evor79mi1yb83yz6VZTiA+aHhn43gOOJ6GgiKgB4C4CrU8f8BEI7BxEth6BgnpjBcVrMM6hy0NTvRBVkpkJZfQ/zCwJVqOY6heg/R4m1KcV1sNowDaTpziiah3KJtG1dDRg8Snylu4Op5yxVp96Pnz2wXa+NzMNvYAznPKae5tonqqNA55w3AHwAwA0AHgJwBed8PRFdSESvDQ+7AcBeItoA4GYAH+WcmyVYtlhQSGgqhhLdzyGYJFRhXKl1r9l1o6E3cqwGB6bjCkkVwwr0efjwvLlVZFemmmkQqFq9Xl+6HjRNfSnNSp4euyzbmOxWAs6Ndyq9Qke3RQDgnF8L4NrUdxconzmAD4f/LCy6mtiqdmTMoSufp+oNLIJn3P9Mpc+t5+DQx6ZjDb1iSNnk0bbVyzMLd08aRXV3UkJDN6NccnPoEHnN6z7H2Sev1moj74Ex5RIqLfOBQ7ewMEaScjFT0dUX3dzLJW47bZj7I+sc3bjW5dHQKwrNYkrZqGM1ddMDzHzuI7dFQ2074EobzUaP784X9cs5xymHLQIArBoparcxGZtoY35NvYIV6BY9QXdG0ViQdePlMp3DKAmkjItdVCzKQxU0utidJIRzDg7dRENPe7lot+Uq767X5sKfbuh8UAYCzuGFfL0+BSVg5rbIweYLh25hkQcJgW7aVo3w68LTw5SykEho6N1QLjk09MRiZmw/iD/nyX5oMly1SLToT69dwDlcx0zInnbEEv2BKeA8TgWhv8Cpu0N92qpfOHQr0C16Aj+hoZuJdFWomb4gqpFvKi/lonzujnLpTkM3bZ9HQ8+7eDVTLvoasKmGvmJY0CUjJS2TX4SAA57h4pHL9ZPHGvpc53KxAt2iJ0g4uZh6uXThh65qink59Dzuf1mo5/CQ6cYHP49RNFkUQ3+86UhR3bUg6RGi2RfMDZVyjNJFUndxzJuhkUj8m4uSiSqsQLfoCbqhXPIY9yRUDT0vhy67JJoLDT0Wqg3DBSFfpGhOyiVsZuq2qNITpp44pgI9CKNSxXPUuzj1MO1dDsQcZ0TWy8ViYUJ9WU0pl7xCBkhqink5dNm/55gVQE4jD4euujrm0UhN26pHmaaMLaKGQlARbbUFOo9oENOycKZeQ5wDjAmKR/9+KHPPIKc8EYHR3HPoZqSUhYUmuqFcuvEDT3i55HZbFP97jHIJdPFi5xPoqiZpzqErn3Nw6KYpYx8ovgfeVQBwmVHuGFMXv7gsnGjDmN6ECjgHEcExeI555h4HF5QLyHLoFgsT3Wgqebw1orbIJ6CyzuE6LJeXizSQ5aFcusnl0m0+dFOjaJEaYLzRdJ627RKBRfp9SRgF/HBBhbiM5fJy0aW8Ehz6HDsuWoFu0RMk87GYte2mYEDe3CSJc4Tvsefk1dClq5y5hh4E5gJFIlfof87FM32ktrYdxMm58rhWmtwTDvEsTDT05P3Q7IdzEMhy6BYLF+r7Y55gK7+WmpdCSJwj/N9l+Th0STHVcmjoagvTwKQ82nYeV0eg+Znqa+iIk3PlkH6mtBAjyaFrGkXzaOgQz5yRjRS1WKBQX3jTKZ43v4g4Pv6cN8pT9uk6+sY0FZIjzhP6r17v3olq7ra9DKQBmndd2rlcFLfFXDSIwTOVHLprsNNK2iH0+pHUDpHl0C0WKPycggLozssFMNewms6geLnk0bicLjh0VS7umzKr9JTHKKrCLB96Tg2dAwXX1Dc8/mxEuYTctstYLj90Ew2dEVkO3WLhQn0XTKf4THm55KZcwmYm7m4qpBdGNYeGrvZmbBDOQVXlpbfSh5pQGi4TvLauF1A3CcS64tBNaCuyfugWHXDFus046vxrMFapdz64z9CdYbMb7T7+nIfyUM/hOiwXzyv9rKs5/ODzlE2Lj88h0BORovkpF93MkFKb9RzSLkCS19AdcB56uegvzLlsChHlMvd+6Fag9zG+dZso+rRtdHpO+j8wVZ+RMm6mp8gTfp3V9pu3PWnWsTwHJOVCuWiTYkgp5Als4jmFlzheicI0yK2Sp780tVDRFOhSm/UcZpAeOO7LxLc/j4aeZzcg/NCFl4sV6BZ9iR0HKnj2hT/HV3/1eK72SS+X/G27yWeSF/IceSNFpZeLacUh0be6EJrvbDxZrzOPUdTQD135S383EgrZosv0KRflMJN7GnAOxsQip08JJdvrQBpFGXVXsnAmYAX6PIBpgYiZwJ7Qw+K7dzyVq303+ViCLtrOhFFKrZeZJ7BINsmTSyahoefYnRjn/54Bt0UXvpGGThCLpa5AV5/pqIGhWFyOmZdLHhuM3AksHypi97iZZ9JMwwr0PsZc7t5kDcadY/kmqPrCr9u036it+h5t3W9GN8luy56DZ69ZbNQ2fY68Grps063bojmHDniuqUCPP+88UNHuS21XQENbQxccuhnlol7K6LSJPUn4oRccpr24Jug+g10OEbBsqGC04PQCVqDPA5jmQpkJOKy7qaG+Cxff+JhRW1Uj++6dm4zaSq3Kdahr/t9Es1MhNetuimMA+dw9WZgkKo/f9VX3bjXoK/5cQN3IIyTKr6Jrc8yhNcsxMiKMlD2MVxqdGyDfgioPsxy6hRbmYpJ0k2Ww2/bdXO5kVby4IyUv9xhit8V8GroUxHn41G7THjBCKCz1DXoSRy0b0O5LbVdAQ/tapW+4SVRlHq0ZiCNFh0sexjQ1+9wcemgU7aJi4YzAZlucB+imrmVedLuIdJPov5u+J0JNbFHZy20glf0X3C419ByBTfLS8xjYeKihO4yMMxk+Y9Uwhg0qAiUoF9LX0IUB0cwjJK8nThCI3UDZY6iaeOEo7fUg7AIm971XsBp6H0NOjW615TzoVqB3M+Ru2k7WhEAfLrm5Xy5VQ88TWNSNhi57c5m5D7zUSB0yyP8dLV76Rkq1HQAUUdeeo0f5m/DuzeejRA0jTxxT7x0gzrHimORDT2jomv1wkXfdUi4WbREl9p8Dgd415aJM7HOeudqobTcvhRx3wc2X+hZQ0+fme0HlrcvXVrRxmHnffhBu/XNERhZcZpRMTD1SUC56bT/a+DqeOX4HTvQfNdLqZUIv0xS/xpGioSHVpC/huWNmu+gVrECfB5iLSaLO5Tz0ifqyymAX/b6759/zCESJyA+dsVyeKjICMs9zU9MO5AmqkhV6TEvQmfiFq+MEgKIB5dIIRY7HAiMNXabcNc22KPOhm0TOmmaDVHcCVkO3aAk5NfYYZt2bCagvQJ4AGVUo64Z4S6jU89HLB83aKj7kXVMujnn2PD/gkTtePoEu2ggt26yt9HIxoRjkYQXXbPFSjaJDVNW+Vh8OAMClwMiLJCpbZ5iegDHzSFG5eOhnkAwDi5jNtmjRBkcsFV4Hf/X932HzvqlZ7Vvdbkpe2qh9KBsY6ef5kJBC+chlA1F1G10kOWijpk39ew4zztg4pdyrbjV080hRGBtFeUJDN9F+48/HsB3a9IQvNXT4BpQLNy4sLcbIw2yL+pGinKtFrPX64QAgQ/8t5WLRCo7igP7rjXtmtW9VmOSpzSlf1pLnGNfWVEPv81R6BwAnpw85kIwUNXVUUe9VHg5fDtlEq4zb5jGKiv8LrmO0kyrXD0SfB6mqLch8LkSOS9yI5/dyCHTpUWOsocuapwYLjrjv3ccedAstgU5E5xDRI0S0kYjOb3PcG4mIE9HamRviwYspRTjMdmyR+m5P5RDovAuBHnleGISHx23F/79YvxNbR6cxniNTZUy5mGvoqlDMo61FBtkc23dpBGRGbovxvTahXIr+RPS5QIG2NltXKBczGiSHUTQ0cBp5uSAOqtPf5aiUS58LdCJyAFwC4FwAJwN4KxGdnHHcMIAPAvjNTA/yYMVMGEN/9sA2fD1Hgi11YnZDuRQNvSdE3+J/zzUP7JGLgRSsW3Nkqox45ZBDN6E+8kY1pvt2cnjYSA7dJAeNPKromVEuDe5EnwvU0B6r5NDNKJe4DqlpznZJQXGuJ6CTGrpeP4lsi/MgOdcZADZyzp/gnNcAXA7gdRnHfQrA5wDoJ4SwaItE5r2c5/jAD+7FZ6972LzvhFG0O8rFlEOXWmrRMRMyot/k39KYZnaOUEt2zPKiqG3Tn7URtgkC4MGtBzoc3Nw3kdAUTfN/FxxmRLkQ4jlh4rYYebkYGEUDDuOkY6JdzKEDetp9oHDoptkWHcpP880UdGb7YQA2K39vCb+LQETPBbCGc35NuxMR0fuIaB0Rrdu9e7fxYA82dJNTvFuok99UIAP53eFEW/G/5+obsyTS94nlSIQjT2Fa+xJILigTVfOdDYcwJG8dncZjuyY6Hq/CD0KN1MA4J++X6XMiHh9bIN/YKHpi9QED4ZfPKMo5wrwx+osBV7xczEL/5wnl0glExAD8K4C/7XQs5/wbnPO1nPO1K1as6LbrBQ91/uWtjzkTfXcj0Lvl0H1jDT15fF7XQVWzM3lJYw8ZMspeqLYnZREyjd6M83+be7lwbpClMUgKdN0FRFI1r5i8xsBXXlyTSeBO5P6pPEede5LLKBpRLnOTd0mFjkDfCmCN8vfh4XcSwwBOAXALET0F4PkArraG0e7Bu9SSu4H6gpr6kYv24v+iy1DP6bZYcBnqphp6+P8HXnYcgPyug5J7BUzzhIv/B4tu7nzojIBPvPokAGY51SMOPUeV+6InBK3uAkKIdx95KBfATDjLwB396E3xv/ocdZSDRGCR5tQLJOWSwzNppqEj0O8GcDwRHU1EBQBvAXC1/JFzfoBzvpxzfhTn/CgAdwF4Led8XU9GfBBBnRuzPVGCLhcT+eIVPTN3OCB+kTxHv1q7hHz5Tz18EYB8O5vI/U9qakYCXWroOfPAcOFqVy4IAVsx8DAKFIohD4cO6C/eTLmvJappC1rKMafj6zL33pGCFtCbC2pgkbZHTUi5DBRcTFZ9VBvmC/lMoaNA55w3AHwAwA0AHgJwBed8PRFdSESv7fUAD2YEnOPkQ0YAzL5/q/qy5RHo6u5iz0TNyFNE1dAbATf2MpGeHkC+TJVSqHbDoRdyLEaA3L6LAh2AmcuoXIhcRtqZHuWtlcmvdMdMPNbQhzGlLWjHURZjBetoF9o7UcUbvnI7th+YjoyOpv71MlIU0OXQY4pGO1IUIpfLEUsHUPMD7JucuyIXWvkyOefXArg29d0FLY59affDsgCEcFg9UsSG7XrbxZntu0vKJWx+66PC+H3f5lGcdsQSrbaqoQ4QL6LUmjr3m9Su82jJUqjm0dCTi1G+9LlEsXeOKd3jyNB/3QLH4Y6m4JpRLkB83DAm9ItVhKTY4+VT2iopdT/A2V+8NRKOzz1isVHSsUhDN/Zy4dG913W3lc/MzWG4nWks+EjRraPTuG/z6FwPIxd4zoCKmW7ZcwsAACAASURBVIA6J3+xYadx+/SkNvE2SdMAphoygaKXMheHHnB80/ksDt99W47+Y6OoTrtK3cdD28fivjlP8r6GfUsO3SSXCyH289bdjZGyWBV5TXvRc+T96dDm8rs3JzRdCnddJp4nQGqnpcOhc45lQwUAYoeg1RfigC5An3vvBRa8QH/3t+/GH19y+6wbFWcCAedwDEuKtTyXYXu1v9seM087ILer//z6UwGYeWvIrkfKHgBgzCDaM61d59GSKWjgxXQ/Xrzu/wAwd5UDhIau4zXy8at+j3O/dFskPFQDm+n4Y79rfQ5dRFNStHhqG0V5SAUxF56BUZSF/usur7dVUtK2A/OIT44/dW7GX97yXBQgFgZdyqXgOhguuRid0q1yJOec+Hsuw/8XtEAfr9TxyM5xAMmkSfMFAUfkhtatQP+5oZY9UwUulg4KbcfUW0Nta8JJzsT2NzaomWdNjAS6poC8f4vYPe4Nr1H6Trs5tL0giO0HumH8MprSlOKR9wZuWQh0zfnCwnYeb18UQ2q7cX/mlZje7VwHAFg8+QQAfbfF2A5hyNeTpVx6ig3b4q3sXBSJ6BacKwV1uxz/fsNq5N0KdDnewWLorWGQglf2PFwSGvpkVX8xSFMWuTh0nuzPRONSMzUCnV/uwaIwY8kgJLnDYAYa+v2bR/Giz9+EA9N1kQ/dyG1RbAnMKZfwHnlCoGtTLqGG7vFaW6No2mRCBOwcq+LyuzdnN0gh4ByTKIm+An0NPU4XYLLLkYtwfppvprCga4qqhRXmoi5nt4j8oWcgpNi0yESe8mkqpGAbkO53Bhp6nNgrNE4Z0GXyhZQvV57nTikhmif0v+Dq9f/AFhHeL331ZRi5yQ7jH69ej837RM6alSPL4TKDqE8u6IzclItXgjtd0dfQwwhTl9faXlt6vpoG/HIO1CAUAi+oAihqLY5+ENMn2jQllzVF43PMFRa0hp434q5foHpsdL3DMGzefZFo8X/ZEzqDiUCXL1LR2PMCUZWa2KiYp7BnSkPP6bYItNewVbc42YeI9tTfYdQaQcLoT8aBRSGH7potnlHov6RcNMPqGUnKpb3v+tdvfSLxt2kKB845alzMPS8QEbs6U0Hu8FymX8JQGEXjMc5ltOiCFuiqg/98pFwibdMxzzooIf2Zq8bBPaK/Fx63DIcuKhn3K18GSbnsNqi6JC81j4Yeu/3lp1zSq5/ZvU9SLu36V+0K8rjI60QzhWt6sTNVAGR/0kW0qivQoWjoXC/bYsABJ+TQnaDe9tq27E9myTTV0AMOVKWGzsXc04k6Drhw/WTMJPAppkYBq6H3DKpW+PQsV/yZCUTZ80g/5DkNuXM1D78X/5cMCx/E7cUJZMTj569/xLhtKVyMTPrnM/By8SCeNwxBvsAitzOFMVFprm4kvU7k9r1T32lB6kRGUX2DHiOK7rX2TkrR0F0DDd2VAp3rG1KBfBp6PWSU3UAIdD0OPcyHY0BzSpqsG7vNTGFBC/QJxZj2t1fcP4cjyQf5shUcQjVHXU8gfhFMhbJ82UoF8/S3gJLTpGBupkkHFhklqIJMyJSfQ1epkBUYNaNcgiSH3q6tmo0xoaFTXGShU99ppZPCHZ1J6D9RvBuqmPqhe2V4vK5FZwQ89nJx4AOBWYj8n7/gSCwKXVl1+pICXVIuOvNITTOgTblEz8xSLj2FWq0mF5c6x5Ac+qGLy9iyP98OQ3pLmGrokWEyp4YuBZEUysMlfcGe1tB1aQDZlhHByVEQQUJNDbuEJnJx6F5kZNQU6L5iFFVTF3ToOy10PrzjY/j0/S8yqKEpdjTSXlHV1NAdmZzLK8NDXev94uAR5QIILV0Xknps545ZawQJW0TMoetr6FE5OUba0dniKIpKRlrKpUcYV7a0x60cmsOR5IMUTkctH8STeyZznUMK5nHD3NxyUpY81lX6XIcRzj1lNVaP6PPw8n3Io6FLDVcKRNNsjeIksVBz4Jv5oYevdyHi8NtQLhkaOm8y6nYQ6KnfT56+BwzcSBgxEhWLAH0NPaJcPJGbBUHn+cUVDR0AWKAfMEaha2W9xf34/ZYDOOET1+GkC64Xw1G8XJxQoOtGirKw+pC+hi4WgThS1Ar0nkDlKF/6jJVzOJJ8kNu/QxaVsGdCvxBv+hwAjBcEKSjKnoOAm2sdcqymFACQwaEbG0W7NFApL7JnKtBTGno7IaLy1fJzevvekXJpIXR0FzIpwKLdkKaGHrktukKgk4Zw5hxwlUpHDs+OjfjYj5rpUUYEj7XW0G98WATOybnCwRGElXhNKReZPqHT+/b03im86ku3Ye9kLaFEWA69Rxiv1DEcBm7MR7dFufIvHigg4Mkdhy6kQMhbbDmPUAXiogSAmOgmIexq0QXAvMiD6sdtWsJOnCSloecILIr80Nu83Oot+eiPHojaJwOj2l97K4FukprWQx0l18woyiINPdx5NToHrgU8Sbm4LRaBK9ZtafpO5psJeLYGnKblBF8f7hJ9IdB1jaJEepkdv3br49iwfQy7x6sgxLlcbOh/jzBebWCk7MFhNC8FuqQPJP88XjWvYJ9XoEdG0Ryug0DM/wMw8roQbRH2nU9DZ6TkE89VZELR0Mk3sr+kvVzacb5ZwpjDLLCo1e91Xy/tcKk+hrv8t8K7899AZGCviLxchECnoLNA50hSLsTrbcf4ouOXx8cq6Qmydh+Sv5YIAh4bYP3psJ0Ohx4n2upk3FQXFrkIpL+fbSxogV6p+ygXHHgO5dPU5hh+IJJzmeaqViE1vHrDkDKJ8qkUAQB7JvX9yAGxIMjALlPKJU1b6KYxBWINq+iK556nricpGroL3yhqNq2ht5t36i2RwktSRtI7qaPbYpux6dzygcZ+AADdchFKrqO9AMaRovqUi9DQ40EV0Gh7f9SkcAlKI6ONWgxcLnKRz3tDauh6BS5kLpdO79vtjyfHZ/3Qe4xKPUDJYygaTNR+QhBwOIzFLniGBr4g4NFLbV41SDQ8fIl4YU3rY3IeaywmyaKAWCjKkPQ8of+ArCCTIymb4uUiBLrBvePAKuzDoVOPAWh/39UUB3Lxi+qZOnraXqvtvQNfb75IA7BfRcFl2hp6pGmHGjrT0dA5okhRQAh03TnNCFEq6SxBO1WPn/N03Q8FcziPGsJ+pKPUmRhFZboFYAbsNjOEBS3Qp2s+yp6DJQOedirMfkIj4HBYHPVoustQJ6Qx5RIeLnOx5FkQ5C7YJD83IITaM9lToC8ci0PcMTPKBXG/ZS/nQt4k0PWaHXX+NfjCDY/gtuIH8ce/fQuA9nSRSi1Fboswq2faSni48LV2dExxHVzMprSFUZOG7usYRXnCKOqhob1zFDnuW8dUTCvpdqdrfsLn3ZvYAUDTyyUwL3cnxqdo6JZD7w0qDR8lz8HigYJxtsF+gB/m9cgbJKO+nOu3jeUqAyf9k/MYRf+argSu+7tcHPon3e8CU3txJltvaBSNw8Rz58BRBPrz2MNaWqQUyBu2j6FAsXBpN3Y1M2McWBTnNAc6a3vqMy0gFqqOZoQrKS6aI6xqINBTGjrX83JxECAIxY6HRltvHElbASKNtNcmP45aqm/vZFU4FIQCnU3vBWBGuXSaO+mdn0qTWQ29R5iu+Si6jigHNg859CDgcBlF229Tn+r0hPzUzx7S7lcKFh0uOPMcnOOv6QrgN18LOXQzymUtE6kCpp2htovJJTdvxFHnXxNpU5xznBA8CTxwhVGSKhVcGes57G6tubOpRWqJ9hp6yLcruXrUDJuAWWDRGezh6LODQIvmUgXxCFU69rd1dBqX3fmU4uUyAAAgX8/LhSGA74hFoECNpgUvYZBWMi4Wgiq8MJgp63moGvq20elE3hjyw1wumpSLEyZHa2cU/ddfPJr4WzVk20jRHqHaCFAuOEbJ6vsJjcgomlNDD49fNSIMm5fe/mTHNlO1Bo75+LW47M5NcNQsfL4ZdaFOatdQU1YPLbKgrZb7hRuE4P+7K6XbH/AflQ8DV73XuF8JUjwxfhmcrrVD+ORPN2R+306gy1ukUlJRtsgOHPqu8QpeffFt2KoksZrg5eizbkCUagAepumObd516W9xwf+sR6UWGslDyoXpBBYhXGikQEejaU5fff+26PPSsBQcAPzb4+firNvfBiB71zNVa0ReVeOVBn7wm6dBMoazIe6Rbj50Ganb7vhmDV3J5dLiPf3arx7Hed+5u+MYusGCFuiVuo+Sy8Lt0/xyW5QvsqBc5ETJ53p45NJB7TbS0HNguh5WspGpA/J5yQCCPuBcfyuqamnDrKaVKfKH9wjfZbUHl7FcxbVVIVdCTUug37tpf+b37cauUi6SDgj19CiJVasF6YfrtmD9tjF8546nou9cNJTPgZabHimCeISmOy6AkroM/CSHrhP1Kf3QfRYWnkCjiQ9/em+80/nK205P/Lb4gNhhZo1xquZjKIw5ufCnG3Dp7U/GPu8NvWyLct7JVLjt5ut1D+5I/J2oKdpCQ7/ouodx48O72o6hWyxogT5dFxz6fNTQpTAWlIv0vzW7BrmILRrQS2gEABOKrztjMeVinH5XGaqrEQafbBs3LjHfKA+N2jYvh67yyiWqablNZqVWoA60h5r3RWp1nHN8rPpllD67AkDrRVwKH1V2FCgegwNfazFLauhTLXnm/ZM1bBudjrxx6o1wnkQcup6Xi4MAviN2jAXUm7RZGT8AACvDnWUaWQvsdN2PKlzJcn4R5RLURdbMDvdDPg9plG4nMw5MJxcwApRcLs3Hb56lbK8LtmJRww8wXmmgXHC6KhBx1e+24MNX3I//ddxyfO89fzDDo8zGXU/sjesUMtUP3dRTRZxksWaGOiCZodIhQtHJZxTlKcoFEFvRosaMUx9VgfGWHjbplyrdr8d4vp2ZIuSKqHfU0FsZm70OniYxh06YrsfJuc6p3xh+zzBZy6a65D1ShU6zUVSDQ1c06yFMtxzvmRfdhOm6H+Xk8RsNwEGkobuaRlGVQ/fQzKGPKHNVMujqdQEt3BZrfpR7P24fH1dETTsVcZScy4QLp/ZeLnniIfJgwQr0O5/YCz/geMaqYWzaO5lbQ/9wmHb31xv3YP9kDUsGCx1adI+3fOOu6LOjuLCZGiblxF9soqEr6QUYETxX9m2ooStjbec/nNlW9dygoOVictF1sZH3JScIjTahsbIg13OnhECvddwhtOqikxeHXAhch6Eha4oq5xoquYkdU7JPcaAqPIYQxwo45GspMUy51gJrzbvLYhySp+aBLwR6qKG7XOREb1fqMKJcHLEIZBlFpZvs35x1fCTRj6OtiWMyvVyqDaxOFWJR0wwMsXpHhSgqDq6hoZ+4ehjLh4r49UYRXCSLWAOAn9HPbDllLFjKZWxavCCnHLYIrkHB18Q5KsmXaXPOFLbdwGHU1l2rHSINfUB/EUpSLhSVUtPV0N/+rbvwrdueQKERF+iOkxbpnSMplHnLxUTNEb9yWGzP1cXglMbDuV4kVciVqTOH3uq6ltFYBw1d/O8p3jhrx38Z/T5SZIkFNqutajQ9lmKDoqtBMQBJP3QR6NO+jaRcHBkgFGronkaQEAfgkh9RLi9j9zUpKXLMr332oZEb4Fe8LyWOSbfZM1HFtgOVqOB2dG2Khj7gdC7CEe2KNer4bto7hWNXxLYpNfQ/67ZXGrMT2LhgBbqcXK7TebVteY7Uk5GLRC/x4NYDib+dhFHUlEPPoaErlIvcehLpa+i3b9yLT1/zEJbV4gRLrmE5uIRvNWutoZcUvjVOPxv/fniwOd/OTHLoxFCmekcOPS3Hqlzc75XYr5XLReXQXzR2TfR72RXRzpnI0NBdxf+daVIu6m6kQJ09Y6QWyhCIbIZOIWzb7LGShsyvIjX0Vzm/bbo/8jl6Dosol018VeKY9Fz86A/FLnprqmydmjdmkPkdd7hpyqWVh1EQcEzX/YSixBQX36z5OluR6gtWoMuHV3CYcbY/iXSb8Urvo03/6Mu/Tvytaujm0Z7iHoyU9AX6lML1CWFOxuH3QJKbLXTw2EhD9QP3KGgpUI9YOhB9ljy72sUBb0Wu5x4JucKQlpdLuo9ayGQOOo22huwokZfDsHV0Gq/84q2YaMSv5IDbOkI3S0NXKYZn0iY9ykV5TudO/zTzWtU+ZAbMKEDIFdp2J3uBOsbAiY2d6euTAl7OPQB4jB8Wjzdj5zGaYUuRx0oMsJpG5sqwXUi5tLp/kkYruAwFh2EpxnDeUx9BsboPQLbwVhfmz13/sFGQnwm0BDoRnUNEjxDRRiI6P+P3DxPRBiJ6gIhuJKIjZ36oZpATM9LQc2y90yu66bbpCzc8jLd/6y5M1fJr9o4SWGRKG8kJrCYu6twm7kNueQsOMw79V93hTnzqu+LcuudQFwPGUWtx3+UWd9lgAdc8sB0bd40nBFQRdS0Nff9kDY/uHAcAPLJjHAcmQ02vMKRFuZz3nXWJv+sQO4cBarS9Zq5o6ADwyM5x7KvGHHTJ4S0XUqlNJp6XIsAOoz16lIsSir/S35V5v9RdgCyE4Yjqp5GGrkO5yMCiujcMABjjA01jlNfjOhTx9epCNYhKRmFsceDyoaRXjJoIbIRVtY2iMpdOS4GuKosO4Z3uz/GMid+CXf8xFFzWQqDH3331lsfxRM6CNZ3Q8U0nIgfAJQDOBXAygLcS0cmpw+4FsJZz/iwAPwLw+ZkeqCnki+QyhqLHsGu8aqxlpl/GltvfFrjk5sdx+8a9OPmCG4zaqRBFfzvn1s6CfDldRnj3C4+O/HTbQeWgI4Hummvo9VrsxjYyuUl8p7moqouBR0HLdnKRkW5qZ/3rrXCC2DAoPFQ69/lHX/41/vCLtwIAXvlvt2Lb/vBlKwzAg99RoP/2qX2Jvxuhhv5p52vtsy0qwkuihPi+ldsKdPG/30JDn0BJ08slqWxkzTG1j8mQkmMIEJADOGL352nw76LARQDOHEytfC7uC45turfqe0sh6aLmfxlEs6/86UcuAQB86OwTktdGARquqFS2jMY7G0Vl7EcYzNfKGL4ufN71IIDnMEzzcCFZfxVWuxOZAv369Um/9ekW3kvdQkd1OwPARs75E5zzGoDLAbxOPYBzfjPnXFoM7wJw+MwO0xzyRfIcwhFLB9AIuLHrkDzH849ZCkC/mgsgwo9nAjPhtug4pC2UEwIiVJE8h2nRPeo28oHNcWpRN/RR7iRgfrhuM7aNTsNRMvd5bbxcMiMGJ8ejz0XSq0a/NXxWvw7TtUYCxCuL4BfToKpQEC3DWNtrVikXibuCWFcqObyl//+OA9PhORQOHT58EruDMtrnZXnvZetw1PnXJDh0IDv4Sy2sIitfufDhKxq6jkE1KnBBLsgtCC+XVBtVQ6fwtjiKQD+U9jY994IjggePX5UsM8kQoFES7+4SmtAYn/h/+eSjWMTHW977/x1Gez61ZxKeQ5hE7F0z4gaZit81D2xP/N2r3FI6Av0wAJuVv7eE37XCeQCuy/qBiN5HROuIaN3u3bv1R5kD8qF7DkM5rDxvyqfKc7x57RoABvUWgVwRYWkjjIcGTn78W5GPb97kXC4LBbofdOTu1Bf6pcGdwC/+se1icO/T+/HIDiFE1RfGU17C6ZGjO45/51gFH/3RA/jg5fcmiiUIDb21QHdTbnJ+Jd7KCt9j/Wcm0wdEmq5bznSt6wTVu0LHD12lxKqI7R1Fp7V30U/uEx4tacqlzoRdoYxay74bfoBfbBAl2yCzJA6tajqfxKsvvq3pO4YAnByAifEWqLNbIIcQzpzEQlBAvUkLbihzVj5ZV9l5HE67m66r5gcoOCzaUUo4COB7whNlkFrfDwD45q1P4Cf3bkUBdbz2zjfjTY99DLVG9vsiv6o2hIa+jw9Hv5VYoJVzacv+mVH40phRP3QiegeAtQBekvU75/wbAL4BAGvXru2NVSCEutLrVn9pOkc4ASRVYWKpLrnm9ub7t4wm/n6f8zOc8tAVqK8eAXBi7uRcDqOoaHHd5yi4rX2F1Xv0mdrngduBwsjLW1IHr//KHQCApy56deKFUbfJvDgS9t16/Bt3TQAA7n5qP55zajwtPfJb8vd1n4eZChUeuPJE9HkkGDN65tWQq48EuleCi0bbnU3aKwkAnuSrsZJGcTd7VlvKRQoGR6FcVNqk5PBoTK2gbt0dBAiYiwBFlButA2kmFU+mwA+17+POxtQDP86MFN013lzcJDKKMoaAXE3KRWjonLmAW8zk3VXKBbJABfnw4cCBjwGqNhuhGwE8h5qqFjFwBK5Y4EpUb7u4f+ZaEdNwJInMjKsnRaKzdu9LtS4EujrXS062cXjFcBG7lfv41jOOaDmWbqAjdbYCWKP8fXj4XQJEdBaAfwDwWs65WXmbHiDS0BnLnXg+bc024dDzuMsNFJLr60e9KwAATkXkCcmvoTMlyVb7a8iKcvMcvcIHV/4udlVUNXQv1LjbCbfv3bUp+qxWv1le3dJSoMoXWcUX/C9En5c2dnYUMjco3OaeCRkyHhdA9nh7DT0rpFsKZZ/cDpSLGNvj4WKmtgWAxZjoSJNtDwuPEIVaMxi4UxK7kxbjVksZBlJD98pwuF4wkhxnEHIiAfO0vFxk6D/IEZQLGk0eTKqGLuucughQDbnwMqpN86jmByi4DCwlzRgCBKGGXqZqy/GpibaGIZ5nQF507jSOWS7O+fFXnQTXocRcL7aITj5scbnpu15AR6DfDeB4IjqaiAoA3gLgavUAIjoNwNchhHlvs89oou4HcJhImBPnWDAU6OHLVHAYii2s1+36V7F+W7MmJ3HPpn04+YLrsW8ym1djd34ZROYcuqqhR66PHQRE1j2SdE0nqMItkSgqkOlLW59j55gS5ahQLqVgqmU7+SKrmET84hw/dW9HIZMlkKMXtDAgNPQ24x7IMDTLay+1oT2AuH6nSrmo4eqHNjZr+zQXHAYXAQJywb0Symjt1aFy4jwS6CW4XM8r6Ojlg6Efuhg3Z4XMMP40AkWgM0e0afJD90U+cha+u4MFoZlXnVigp9vUG4JySY+cgYM7HuAUMNAm9P+h7XEQ3DCFtgnmRudOY7LWwJvXHo4jlg0I/l7x/y+xINPm0isjaBodBTrnvAHgAwBuAPAQgCs45+uJ6EIiem142BcADAH4IRHdR0RXtzjdrKHh84hqye/2J2kbhqLndNz+qkhrtE+2cVN641fvxFTNxy2PirXwBccsazrGY8w4OZfcPksOHdDQ0DP6KLFAK0GW6jbmKKXGpFG03Quv9qvm6HYoQMCzxyVfZBWX+ueID2vfjQF/rOMzz/L8iV5QbzCsqtP6uavbfFlQ+7gwYlNok62ved9kLTLoRedTNPRX7vpW5vPK4rQLLoNDATgxcHcAZWptP1AN9lwm2fIGRNk6jec8XHIFdRIaYAPHQwE6kZi+KAvHHJBXzLRPNAIeeXUBYsF0EKAeZmgsUjO1U/MDeC7DcNHF2//gCHztHc8FIBcPBnhlFKm1QFfvv9TQeSjQ0/efc47d49Vorjdr6Nml/9QSeb2EFtHLOb+Wc34C5/xYzvlnwu8u4JxfHX4+i3O+inP+nPDfa9ufsfeQ/Co23YHX/eRkHEtbtUpKVeo+XvKFm3HHxj0JX/aSp0+5PL57ItKCfvj+FwDQo0umQm5TCgYVrpNDQ/dVDl0vhP/7v3kaAPBMejL6btipdVwInt47hcd2CePocMlNTHJXg3KR92vpYAGOQrk4oRdGlmCshy+yer8CHn4uLYIb1DpWqSl5TtN3nuLlAig8cwr3bx7FO/7jNwCAv3jxMfjYK09EGRUMkdhtDPD26Wi/c8dTqPlBQuNWF8Ll1WwN/fHdSeXg7c4v8TN8MDRUMnCv3HZ3oCY1m67VQm8VQTHoFHseLrlglNTQS20WEAmZcpczB+QUMotEN/wg4caZ2HmQ0NbTc7EeGkWJCJ95/ak47QjhxujCF0ZbbyA0EmePT1W+RiikXEJjb/r+13yhYMg0Ay5LcegtImana2bvbl4s4EjRkF9ddykA4Nn0uJaG/sTuSWzaO4ULf7Yhdn1kDCXN+pSVuo9X/P+/wpduFEWCZZHlVi6TT+yO+dPJMABJln1TMcjaV0hX4QccG3dNwA84LnS/jWN++saOGvrGXRMJHnsxxeM6ItiSKVC3Kprei79wM65YJzj0JQOFmHIhFlEorbTVraPTeHKvEFKDRSchVOR5sjh8uWhf9ZcvxIdDH2SHfOE26JaFR0ULYSyRtetyFMoFAHiLajz/9duno8+ve85hGCg4WIxY2K4JtoDVs3dmqveEOq8iKuOk12BP+WgtV9PPeJfiSGyPtWZXUC6tHJrUc3oQBkfpfqj68bfCYMFNcujeIAZR6ay0SJ935oJ5xUyaRmjosUB3HQo9YxyAuWElppSGHnqbSEhvl0GaFhy6W0IRrTn0hECPNPRC02/q31HELKMEvVhoUZBlWgkuPDSVRGwmsWAFeiMIRJa/iuCuRzGkxQ9K7eDhHXEggucKDb2dYfD6B3fgZw9sS9Q2ZBRv6VtxaLc9Fvtrj4WaUzFDQ38z3ajtgvelGx/DWf/6Kzy2awLvdH+BgR13R/3f9/RoZpvXX3I7PvGTB6O/PWWSjmA6U7C88KKbMs+1crio8NBDWPLQ9/ACtj4KAEpj6/5pcA4csqiEIFAoF28gimTMekmqDR8Fh+HkQ0fwrhceBUBoZQGcKCSd++3t81nPJXKTc8VizOvN4/7d0/tx+d2xN28hLKRSoKSGW2hMpJuG16MKdNHfiuFiLNDdElwu6AXdYsXSJZB7ZZSo1rLQgrqoO/Dhkwvp9H2M/2RmGxWLyp5YPMKIWL8wnBnw0wQlRw5zi5n50KP3Vo6PCC58cKYK9ORc+OVDu7BB4cHlejCECnhhENj/JF40fXPL90ed25JygaRc0hp6WqBTknIptRDolUYQ1bp9xUmrmn6fKSxYgV73uahJPl/4NAAAIABJREFUGFYrCaCXoEvl0/7y+78DILZVJbe1hv6lXz6G93/vHnzgB/dGaUaB0Ac+3NJPt2g7pmx/pTuZtO7f4j87+m2YaWhAIe56XLheqR4c0vXsR/dsyWyTLtBQUAT6Ur5PO/T/VaeuFmX/5CQfXA4A+Lr3Reway9b+ZGqEoaLwCmHSUFefwooDD2IEk5kvycZdE9ECLCmlKLgmFOho1No+9+1jlSYePtK4QsoFGRp6uuTc0sGCcJENr9s/4oUAAKfFgnLTw8IP/O/PPRHPWbMYgCgVKELqRdIrJ1zYdO99GTX4rAi4gnJplc9bFVKu1NDXiFz/nt9ZQ3cdCiNFYw19SKMeKY8Eugs42YZUP6WhM0bhbsAFMRcF8jvakuQ7PIBK5OUCtLahjSpBPpJykbvK9L2XSp3c8TKWdNEtsGZPoYYv0jjLx/HAlmylaiaw4AT6Bf/zIN701TvQCPlVKdCLGn6yreA51JZy+eIv44KxagktketBuDxOtdDQVUEqJ4/khBkCjC9/jjgX+drh9/JFXr8t1lpkcNSrn3WI1jnUSfrOnZ/r2PcLj1uGE1cP4ytvPx2ew2LaYmg1AGAfRlqeQ97XoZILP2jmcU+ip5tK4NUaAZ7aO4UHtogdmBcJ9CChoQ+g2pYq2zdRw9LBAo5bGUcZRhp6QQiDLMplOpWfZ3HZA6NYoPPwup0gO4Dk/d8TysKK6mZc+LqTcMPfvBirR0qJkHqHt6abgGZbyyBVROIrr4wyapl52jnnuD4snzZUdOMFMCz2XEhRLlmBNeI6w/sMgBeGhIbeKbBI0l+OoHgK5DcZnOt+SqCTyCLJiQFBHUtpMtGP3L38+QuOjNswAsDhUiCopOe9B+NspKVCpHo6SQ3dCRe21hq6uHaHETzFy6WA5lQV6ed35DL9kpCmWFACnXOOy+7chHWb9qPuc5wZ3ANsFsUidNyqgGzjpecwbaPoU3tjztQLV/FywWkSABJqLIScLNJQ58EXxiq3jEVuI7NCTxb2Z1AbhYqgdnRdN1XKBeic6bFaD7AsLOrrqZb/ULA2yG2pacrdy1DRRcA5vCCp1XrUaCpSnQ6ddphI5uRIAVUXL+QF3mUtF1MgrnTz7287DWcctRRnnbQyEfoPAEGGQFfnwrpPnBXWfmXxYlAUC4TTaNZ4pQBZQzvxhjteh+KtF+EZq4dFlj9JuUyPYqC2BwxBgueXAuzsk1fhNc86NHHeQVTgswK4W0aZqpnC+KaHd2FdWP90sOjEFFW4eBV5JUHxSCXob88+AT/+qzPx8w+9GC6jyAALCIE+RNNtbTwNP8C2/YJ+4uRGRtj0YukHPEG5yHvCyQHqU3gtuy3Rj5w7hyp+3k7YBgCICZuCx1sbbcerjUirL4aUGfOzC0tL5UBSLmJxi9+VImt2xUwL9E+8+qTMccwEFpRAv0cp1Lt7oorPTn8q+ttDI+F/2wpZD911CEXX0cq2qAYpyKCXgYLTUqgEAcdAwcFAwYmEppwsHjXAQ41rkVvHPs38D2nfbABY/J9nAdBPwatqHUBn75jpuh8HgjgMLvlCMD3vPQCA49A6QEh6AIxVGtg3WcO23XsTv5dRbfLtzcqFIaP2fIiXHwDOde5uqaFP13xc8/vt8ByGE1eP4Ir3vwArR0qKYVUYryLXvtT1AsAbnntY5MKmGshYSYSDOxkUhowuXSQNqA+LHOjSABiQA2z4CQDgdHo0cd+kcHjuEUvwmmcfikEnnm8DqMB3SiBvQFAuGYv3tgNK8jLXCTV0NxLoZaomFl6p4LgOw2lHLMEJq4YVGiScZ4UhDKHSVln47HUP4xNXibzlgqcIC5I0ks8xK52DC18sAtGY4ucpHQnU4hbiOUh6R+wGPN7M10tMVX0sGYizRgIACxfi9KIo3+/Bogv8/kcoo5KkXDJSVcgF+ROvPglX/qWYY73CghLob/randHn3z6ZzIA3RNMJvroVsialF2ZsrGpo6GMVVaCHGrrnYKqFUPEDMQEdRlFwTTHU0IuoiS2jN4ABqmkHJ2QVtGAT28P+8mro7dut3zYWGXMLDhORg3CAk/4oPke9+f43/AAf//HvAcSCzmkkg33KGTnJ5bO49F1ro+8Gi9L7Is4CCLS2X1x6uzAAPrwjTugljVyB4vnBG82Lx4uOE7aB8/7X0dF3riJIKEx34AbNHLrkgCOf890izJyFffuK8KrCSwh0aW8oewwvPmEF1l/w8vj6qYKAFQCvhFILykXVvgtuuPAqlMtAKj1tPUrBrHiehAJdGkWpRRi/ipsf2RVfL6n3Nnl/hIYe90UUermw2PNLXWClq69aT5QRxamEHRdwS209niZqDYyUxD2XO0vGG3DRaLJDSCeGFWPrgSvPw5/vvyQZFU3NhTTkXF02VMDpRy7NHMNMYUEJ9HY4jrY2lZTLglwIyop/svB11nNbVEuGFRKUSyuBLjQShxH2TyWTcBVRB3eFhl5CTSv8HkjSAQ2efMS6doS0QNfh72/fKDRrN9RUVcEkOm/mk6++Py6bJl+qMsKX/P23AwAOyciwJ7VI1V1tcdmDJwWU8iK2uvdZGpvDKPb8CIWOmixMYvlwESWP4ZmHLorbOhRRLlSSAr1ZQ98SljIcICnM4nD3iDJ6y38BEAWS1ecpo4kjjZTHv5VRReAUgMKAcFvMCnAJ78VNf/sSZUfjxgKdkmmmIw09ZahUjaLkeCIoqUPemihgi8X3FilKqu5zOIwBD/0M+OQSvKlypUi5q8wldRGQ7sBq2gxBvYXPgeLdAGUYqDnneHDrARy2JC6lJ5Flh5DuyJKaWVXfmtTQ0RxYVG0EcNHAcx68CNh+f9btmTEcNAJ9BR1oy6VKfPoakaRH1epkXgkdga7y3NJ7ouC2Tj/bCERhXTXi8MzjRKRoAQ3AKQFEeNbEbdrpe+U4GQJhGFL70/SUUbUOAE2ZGrP8t6OCDS4Tme5SAp3q7WuyypfSo/ClWvVMNAojWE37mhYUNS2DhIhg9BGQC6CZZ1WxdXQ6YcyWkFqyquWzoJkXrWVEqTpEcOXY22jon7/+EXGIkvsc9YpIlUzh7mBAaHIr6ACmlShDWbQ8motKYrISaiJPileGQxzIWIg+d73YDRyzYgiF0CvHJwdgDA1WwkAqV0qULCvlSpjU0IX3ScNvPT/9gCd57Sd/BQB4wb5kUHkjCPB3U/8C/PfbAR7gvOlvYxDTUVSqOCheBOQ7vSQYBT61ErhwubCnRH25kUAfm5xsmkdjlQY27Z3Cc8NgJFWgl1Btchl96xnCueCY1eL5HFd9UCheYW7IrFJ8jYk92Fh6J45+/D+Br7+45T2aCRw0Av0U9lSC385CKw0+Moq2SKepIpGgyokpiFYarqyUzlhcTEJy0UWqi8m451G4vIFD65syz5GGFGBpLftYtl3Ll/05axbHbYdjrxj1RVcz9km86XQx2T1G8NCIvCAkqN6sof/Hr2O/5+WhUTUyDBIhcMuCQ2+loSv2goIrNM6AHODUPwEA3OmfnCnQv3nrExlXDjgMMY/tyNSwjcwAk0IqAMxlijG4KDh0r02gzitPWh7/8fN/iDT0gNxoQXijc2viXv8+pKWipFaKQC+QL0LWQ22b6u198MX9CikqALXCYiyl8RTlEi7SacqFYqMoC7VtP9AT6GAucMSZAJLpguVxL63ekvjuUNqboFxIsUtIDv3Euz4C+FUgqIOg0Fks9nhifq0pwO+9l4lqU6vDYB+1Lms5w5e/2gjCRFvx/fhT9xbUnNBLKCM7KO17vPmG9AgHjUAfpulMDf2vf/A7fPY6oZX/zeX3Rd8/Y5V4ISksGDtYdOEHXJv2AOKXoJOG7jIWBUPUGnHocxE1QbmESHPLaQQBx//ctzWifdICfRXrnNsEENnkom3kae8AELpQKgteVn3Vfwit967cylNaoDePX7pWnnrYInz1HacDUAQ6EHps1Joz7GVo6MJdUvgsY9HhqI4ciZ1YnLkrUXNnf+b1p8TfM4pCzdXyaunnXmsEkfFaQtI1AICQckm7Aap402mKl8rd34qMeQE5wEpxL5/iqxPz9o+fI9q8eW1YQyZVoCJgHsgRO53Fk0lB0pRv32Fw0Qh3NEClvAqrkIw58CPKRfE8aaJcRHu/0VphqvlBJGSZ4wAnvhoAsJ8WJ47Lek9cClPuvuGb4aDinYfk0MtjSkBU5QBe4wh7mvRyAYAi1Zp2lmmKtZCgXKpNlMtU1RfBgqlKT/VQoBd5c0RqhQYwW1hQAl0tGpxAmDciS0O/5oHt+PqvnsC6p/bhprAoxVHLBnDG0WJL5TkMaNRw/IRYydPnkBp7KhVz3Db8v5XLntTQd45VlXZSoNdBbmwRbzTaFxH48b1b8cHL78PeyRo8JciFH/9KAMAP3E923KU876glWDpYiGmPUNvz0IjyvADZ5fik65cbUgdpyoW1CVr5/JuehUMXl/G2PzhCVIYPFwPuhRp6SqDuDAOlBio7IhdFyQlH/tFuCSXUM4WE6kjx9j+IfZhlZKIwigrtcQDVJkFQbfhN3kRqYJHUsLM09EMXlTBcdJs8iRx1MSGCXxiBk3JbBIA1S8sYloW/U4KFMxfOFpFf5mWPXJj4Te5U/v7cEwGE0a2yP4iIz2FKRgVLo6ibYRSViy6LBHprG9Xu8apCubiRS2jaC8hvNb+VYDGmcOhyPnvjSsDc996ACz1RxxYsNsAW2uS2j6pzoRHtPMopT6HJagPXr9+BPRNV4D/OTrSvO0JrL2QUVam3uS8zjQUl0APO8frTDsNwKWWM88pw4bfl0FUPmamaH01gjxHwq8/hD+/5C5xOjzRt2aTmOJjKZQ6ERtFb/wXH1x9tCoyRGJtuTlkqtaECGiC3CLxT8IyDmG5Z4RwANik+8HWfxxr6kqOi73eONucWUQMrPnTWCSJYAj7q8ICq0KBX0CjWLI19feWkzcoMKQWbFBR4/TcAtN9hHBJueT2ppcqpGUY9poXy3U/uAyHAMf95BnDleaJtqKFHfGuLtpxzfEuhelQ4jODKxSgM/77Y+3JmgElCQ69NYeXD34s1PG8APrkoZAQW1XwuArxSFIUT+jQHymImxh/Pj7FKA4vKCk2RpjnIBYUabORWqIwZiI31XuiNJPsLvMFmL5cM43OkoYfPyHFDyiXDiylxfdIDiDmxQE/ZGLbuU1IlKFGenNxI01aNm5k5krbeE31UNfQS6pkCnSHA8lFRrcqFj4YnFuMS1RIU611PCKN/VgqLgDyRM4aL56W2y/Lu6hUWjED3A44dByo4ZFGpOYPec98JFw3tmqK7xqvRBB5mNeC2fwEAHEL7MrhUMUkHCs0JtQoMwE2fwt9v/auWlMuND+9KJLkCOJbc/3UsxwGhwXklYEAIzUFUMoOGJC6+aWPib8nn0kAsdP3KONL45UMiDP0zrz8FZ64p4U8f+RBOoM1CSy6Lncrz6JFE0jC5CL3nRUfjNx9/Ba7/mxdFvzlMRIr6siDWsuMAZGvoLz9xJU45bASLQz9g0TbmdeENNPlGA0LALC2E3z1ybfhdyN1LvtUtoZRB16g7jb9+2bGJ32S0Z0AOUBGLWTGDQ2/KxX7jhVhz5//FP3jfD0/kou6Uwy143LZS97Fnoip4WJ48p8NCARsuJHDLYcBOfNyB6TpGSopAT1EucFzgjPcCADYufWnip7Rwlrm85cLLC0MYoGTK36f2iEX4ECWhlAMRTeuHOyHPE+OZrmbvwOT5Ig3diYWzq8yJXeMV7BtXFA4lsRlXNG2mCHTphMC97N05MQcoC1pnBY1mUqbvdq7DC27+U7yArYeHBvyCoFtfw+5MuC0OtimyHjAX8EoohLV9VGqzYTV0Mzy6cxzHfvxaNAKOFcNFlD0HJI0iLzkfKAzDQYDpin4hJYcRiqjhLvxZ9B2BZ2Z6A5IPW7p4DbO4v6xVendGaa/3HL0fi277JC72viz6dItR1OEQTbcsgpHGcMmNaZPykvgaUjx2EPAoL8nbzjgCeOznOObAnTjLuRc+ecBz3g4AWERJDwG1eMaqkRJOXD2SuH5P5dBlFGJGoqrd49WEgPIc6UERbueLgyijhqnUYrx/qobjl4Tnp1jjVCkE4e7ZXBDhcSXD5Uf+8BmJ34Ya+7AIk0JDP0xw+g8Ha5o8nKZqfsK1FePC/XI1hcFtjouAFVFMuZvKUnuHLy03a+iRQVaMP1hyDI6h7U0CfVHZA3Y/AvzTImDr7xLn4MwDrXwmAGDSS+6e5KIYa+jiOUUGR28QQ5hOxFvsm6zhNHoMhxbDeXf7xfiLW04XeVIUt0UAmJzOfr+k4Tvy0WeCUqpSEZ5S3GzPeC3BYSdAjqKhx+/AWKWO4aIbjaGpGXOAJSJW4FDa2yTQVwwX8bLVYgz/7H5LFLv2hEB/u3tjgkOXc+Ci08eQhthBlOHJguiqp1D63f/hu4BNd2RfZ5dYEAL9SiXh1KKyh5LHcA4TlbkxukloLQDuf3pPQhvmnCe4VIlP/fEp8BhhBEl6Iit4Qr4kUkNfVPbwB8cIrVbmxQaAd9Uvb+rneZ/5ZdN3UgivJJHAh9wSEGoMA6ji91sPtEywpeJzb3xWTLkoAv3wStJVT42eJaKIYgGQiCA8gbZkRxCm634hjtSTGhwWC++XZY0dTcdu3j+FY1coeVQcSmjoTlH4VKejfPdO1rBqQHp6NIDqhODQKY4qpMJg6IaXfGZyB1fyRA5tFe/9zSvxUud+IawKA5hYeiq28WWJ+AJA8KmJ4hjV1GLFXATMQ4H8xGIgc8afcuiiJu3aYSz0ow/HP7AEg6gkFtJIoIe7Evz+h4lzcOYK3hgApc5/1e9E5UiZjErm3OFhuTUqDmEAlURE9GSlgh8X/xHLrxYLO+4Whslj2A6RRz28VgCoVLIptZ+HSeJiV8LQq4aKCQ19dLqGRUraZpz0mviz4n7IgqSGvqQUZlUNo5JVqPROAfUoBkBibLoezfGj2U6UqAq1lp1qSJbP8RXFh6PvNhePF8eFGrpcoNT6v1JD94dDI/j6HwP7sr2susWCEOhfV1zQFpU9FFyGNzi/Fl9sfyDhrfDKL94aHXtgut5kxf7d/z0bf/b8I+E6LCpHJSEqrGRHgUmBXvJYKOQ4/mznRdFxLwiSmpSKD511Am772Mtw7imro8jDIsQkIK8UucANYwqfvuYhfOSH9zcJKTWT4fpPvhIlj6Es/ZyLcVXy90x+Mzn+NukMfIpfore5N6U09HAbnV4Ra1M4eedPMYBqbBQtDKJOhUwNvVL3E3SVw1jIz4YCvTCIMtUS/v11P8D9m0exsqw8ixs/iTJrhGHiYaKuA5twAtuK4f3JzIg7w/D3Wz/2spbXHhlWSyMYoSm87Vu/SQjmyWojWX7u8ZuSJ2AeeJhRsJKI9BTnGC55sYZ+yLOBVaeGGnq8w6AwDa567WNSoEt+3E9qf5xigZ5eMP49pOQe2ymegxty6NLm4JSGxAJUiefSvnHxDjhbQwVJ8VyK7ByLxII9MBGnE1ZRiyiX0IFAGlGdEgLFlfXAVB0vYYLLxjuuBF7xj/F1Ke6H6iIwNt3AIaVQwC+Jo3YlVD/0IurYNhq3na75qDYCeIWYTlpBY6gOx+dR3Rb3T9XxUnYfVvzu38QX/3QAY55wPY009HCxUTX0TbuFqylfHWdPxVBvUujOe4GeNnIsKnth6HmoUYWRloDQcFUeXaaUXTUSuwYuHRTC33UIg0hyglk1EOVklYaq41cOw3MIizGBZ0zGxplJXkQrVBo+1iwdwFff+mws/9U/AIgj0cgrAaHR6RXOvVGbdKIu1Yd+sOjCZQxDckEqDgEfFC/Kj+pnJlwO//3mJO+uohF6W0TjVARaVIA6VaQZt/wzXvbwP+EFzgYR+h+izkpw/eQCGQQclXqQsHlERlEpsLwyBqiKScWgfVXo679/c6wp4bffwKcffDmGMC3C3wE4u0RKgYFttyf6vepeoakuLhdaXnu0GJUWRTu10an4vk1UfQzJcPMgANIVLR0PnHkooJ4ICHs6NECXC04scJ0CwH04TLgR8tTu5Ms3bYQfcFTqQgCNSMoFaErtS44XC90UpRNn8wxd9GTumFDDdkJqrzEd21nu3KiUCJ7aB+yPjclpgV6sZJcTXj0SGkBDrx7mxF5IrBHbCEan63GU8Jrnx9GkCHcei9YgAOGwRrxwjFXqeCUPlTe3+R0j14uomiGnkaA5/+r74v30Csl50CgvQ23ls3Cjf1rCYWHL/imc69ydPJZE2yYNXZETA0/fIq67oPD8g0oMwgxi3gv0nakc2yXPgecw3BsIQxxe/7UoOGYV7U8cK7WlclYZMlUgKmHYaT9uqaFfsO98XFf4O7zj+UfCZQxHUHJyPxoc3vIaoqrvW9cBO0WRCUm5MGWSnsZi4asKl7ofYMt+MdY3nS76cR3CEMLxF4aARWvCaDaeyF1y2Z0iWOldZx4lvlBcwiKjZojKgbgYh7wPHq+JNo0q8O1XA3d8OW6vaHO+W0YhqCQWBclnlhUN3XVYoryZTAU7pWSr3BpqWa8YaaaeRmgKfijQcc7nAADb/cVNxwFKErMDW4D/fkdiGywpHyotjnJkqwvhVK0RezbVMopYMCfW0BVO+uu/En0MFJxY4DpFIGiEXi4pDT3cqe2brEWL9kjJBe4Lja8pt0UwL6JAWpXO+/9efhzwT4vwsd//UVimLRToZbGTayiG8/FJZRFO8fUR5TIouPpiNZk/CQA+8ZPfR0b3hNsiAO4UE+7E+6dqcWAWizMyikYOUBpBlQ1gMIjHN1Vr4E0T4v1EViSyUxA7FuZhxPMTis/Nj+yO+0q1CYojWELjiapP07UAo2xJ4tBGSFdxEgFdw1NisVEVzT8L/kd0M7EzbljKnpPdYt4LdLXiz0jJxYmrh1FwGQpUFwJl+QlNAl0mmJc5PmRCLel7DqQEYuglUszwZb/5ESG4jziwDiexzTjnlNVwHGoS6C6vZ0aZHkXb8c9PvwN48ta4oIIC5oUZ/5Yek/j+wHSsmb3r27/Fu74tNIc/e77wqfYchgG5wygMAowh8AYxnKo+JOmOUw8Lc5IoW+BGyo/8mZu+G32WAScn/+hlwMXPBXb8Htj068TxvqKhS28V1UUyzsPhCOrgnu9iWeVp4UGheLkUUcNUJb5eqf2cfUJsiJUYRAU8rAcpg1eQEaGawBefCTz0U+Di05Sxh0JuYHGUI1sKgyDgmKr5+Mi9ZwNXvreFQPewaHQDznLuTXDSkqHyHBZ7uTiCfjl+/y1YQuOxh8/AMhSpjhFMYM9ENZqvR46ti/tJXRs5MeVSa+Eut9gRbQYb+1GkelQQ2QsFejAdX8/ecUVIfv+NifNEi25o42Ept1TOOb53l/AoOnH1cOS2KP3W4Qij8f9r78zjrCiuPf6tvtvsGwy7gOACg3FBFPdoJHFPjJqEZ0SN+jQatxijJprIy4u+uEQTg3muGDUx4pqoYAT3JYJsiuzLsASEAWafe+/ctd4fVd1dfe8dlTyYYfj07/OZz3RXd98+XV196pxTZ7HXR1pjKSKW0SeWwdDtCkJWCaGMu7YVS2aYW6EyiTL+8rxnFbZAFCmjTyDmmZRtrbpfqXecy0CIbOVQhojtHi+XRDpDkaXf5U/VxJzWwoO0QtBnJCVaS7F9/re2GwJnVE8glUOhJt88tDPQqxn6ltZOJ1MfwKLJJxEMWESClloMC5Qqk4Fm6IMDiqHPqVeShC0t2p4jZx482PmtsnQztULZvijtS9YKUS5iXPrkfO5+bYVz3j2z8vOBhCzBELHN2W8P9ycs8qV7gBOtBfRNb4bHzyi48i00Qxdjvk1aWo73jmlysZNigc60mM0QzsQcs42tcmZ07UeToY8ZVEHfsjBnjdXPbuTJcCR0/WElki5TTWeznG29Szj6GbRthBWv5tGeNiR8qQv1mmH4tvpbWxaBPx4JL1/NOXPO8QSt2JNcWcxVs1tiSfqWRQhmUxBxk2MBlBF3JXQ7BN5ICraqIcdts4twdZupBkurKBUJgqRpiyvG8xudD6Uo0wGfPgNxJSBkiw2vEiMgzNRKDhte4woO9r2tADSt4dQl1zNYNLrmnio1Od8YnMb2joSj0Ry28OfufXInq0DQMbl05f8cjLqL09V0OCYeh6HrBd63V2x187sXgPOOAkHSIuRJ7fDkh+uY/NISZ/+hSeO8uVwAgkpCtzXllliKUpuHC8tdCwBn0kkFSwgZE0dnIsWJLc/p38s3oQm7rWYkQ9niWVyfMLo/QUswuDgJCCeRnbBCEKmglLjHhp5IZ6mxooqfaK0kY5pcKoYQyKqxYj/TL/+2hEVZzbz31cFIh15QsD93Bno1QzfV8EfOd9OoWkJJ1yp6CyitBeC/AlMBdyHQZi63f/srTBjdn4mHKVsgkyv5zlsncHvoUbUfKSdT3Ic+KA+QXLvzh5ErPfvBgMVgoTWH8kGkQ6WESXkGk22bS5lmjQb9ARS5TMqW0CnpS1BknSK2tsnljWWGGgf0Ky+CV2/goCfHMFaozHDOKn+sQeWd0BJuMp1l7rpmtnckEdFt0LKhsIRu02NIou3xFL8NP+DeWPvqmzAjRbPB4rzETw1aehlQnIVGRasl00RIOaos/erUOfFVznXN0RTVJSFlP875iC0hPW6L4C0yMfWDdV4im3P2c2gPFqtnLyfmSOjLNrcxVBj9Pk+Nk9Tw4w1CLBrHXAhAR8zt0860sWaw7n3vf+fe+njEdZ/b1Oy6ExZ3GveOe82IViDkeGmYDN206QpdOB1UdsWs7uugzuGe1e/5s5ZON5VBAZi5etJWhEAmTjYrSaaz/OLvS3j8Qzf3UJ+ysDM5WHZxi2CEiHCDfZpjScpCKGlcCK/Gqpl7NlhMSLqRu4OSOd4ik1vVn3OZHh8lNZQTdb7BrW2dPL9gI8tC58EHv4eiSpUDH5SZJlxKqUiQMRKOlcY2ckYFER2gAAAbGUlEQVTmdScKWD23LaEHnfdVSqfjZtscS1IrWpkZctMc04WL5c5Ar2bopsR70F6uTUoIKBGdSkIHx20RVL7nu2cqqbozlWEfsZFzX/0Kjxy+2UmQlYdIOcFoA98NvkM1bYD0SLkDhWE7zKphUStaaY/0h6vmEwoXESbNUqMknO2+NqrauKf9cRruWlZIq4x6Uvrrucr00hJLsXZ7lIsfd9Xvn586Stmj5z4CwMTg2+pAzmJRpFHlrrGl/JrSMNy9L/zuKx4J3WGqpylmvSnhRu5tauy6LuLmAcp7JGvY0Itjn3FkYKmHsdieOSOX/9FLH0mSQtO812EAJJs2MvwmVQiiJZ5UBQnSSc/CmUu3bnP8lt1nGjNIfYxvX3+8aihkLsFlVkIHpSws+qGzXlNRFOIPJY+4J+v+llVDPb9h9VFBS7F2l+kmUhkqrIRKo7piuibYuw6UtSf5sOvO+cnGFhLpjB5/BqI5C5GaWWQIeBj63TOVVlkSDsBHD3nv5xSq0CX3tIQuhLcUoY1YyWDvdSiPlSKSdCTT/P6NfK21NBJ03BYDelHUNrnY1aha4ilKgtI1tYSKiQvN1G2tS0v17Z1pZtc3UpbcxufCnvCLKimTUdo7lenzyNtnUkrcSL8gnYyJIhhytJVEzDXvXLhpstoocU2z9liTIuR6oxl5o4Z3LFQBiSUD4fBLlYBy4MTPp/n/gV7N0M0817XlEVj8PDz8Nb6z/X8po5N00FhVPlUxpUdCriQZbF7N65Eb1M608wreI60rsAvtxbCw6IesK/o+M5cqtfWQATkMZfHz3LXkOE4OzCUe7gvhEsJl1VSLDk9AyzRdMf6wQcb1US3VV7gLqE4uF70qPnrhf7Ou6FxaY0mPuWfhL77OpcfpqMdi78KNzdjSZcoPtqRZfdx2//38VKMk1hxX6nZs4HVnkiZAZzLBuyvVB9TQlMNYavS9z33GCcwwbeiRqM57HnOZ25bWBMdYn1Ixb4rT1hmuoUgkSaIZelEVaRFyzF/ZrGR2fRNlRUEloQfCyiPCgKNZWBZJESZgeNes0AvCfcv17y94gkJwpORi9+O9fcYypJS0xlMclFmSd40o6+fZLypX7yHR4U5+rfEUJ8de8aZRHXK45zpnIjQ8IdY0dJBIZ9lXKA8dTrvHM04cGjRDz4oAKSNZ1lydhOro/vkmFEeT0gwp1qH6OpbMELDTL+/t0tsw+OteOoF0uJJq0UFLNMXyzV6z1tOXHgHpJHWWktgDQT3pFNWoYJ+UbXJJUhqUnkXKlG3SsHOaB4uIiBRt8RSzljZwYWCmOvGK2XnPBYZTQVElJdkojdEkzW/9gTVFk9hfGG6Wl//T+cZFIORoK6m4O873Turv7dsPus9tTzSWcFxJLw284hS0+a58DYDBBxwN1cPgig+hfNe4LEIvZ+gPv6fUrcu+qhcMn7sINs1nQutzVIoO0kGjGGtfFQBwVGApX+2nPvCSlhxJIt6sPDUMRCkumHkrk1JJn9qbcySkF9zghkxAhzdXD2GAaOLWl5Y4kv1jWvUfWSnVinewyKl/iinp2Qy9WtlThc4jTdtGmqKuR0p1aVhVEVj7Hgw90qVBCucDaT3zSQBeX76dbe2uC2dpgbQFYDBkIYhRxAnWJ8z4VFU+2t6cw9Cb1sCIE2C/k8iGlGRpmly2jlH9YnW4BS0+3dTKMUXenCoCldc7YUvZQtAmKjjSWsLXrAXORDq7vhHaNyuGPulFuOAV5zcczQJIEKEz1uH0+5OzFVMplVFl6tDSNQMPznl2/WnU7ue0TQv/Ny998hltnSkWFSnNgUr3XeUy9Eipku6TmqEn0hka2zoYnfb6xXPhdM9uytJMqM9Ixxd7VOMsEukMvw5pc8nIE6DEnbijKEnW9vFOBMupSLtrK3au+e/1c80giYB6T9mciN62NsXQm6NJauxAn0MmwZXz4ZZtzoQtTFfNisEMEI2sbGh3SvLZqBtUAS9eylVBVVYvGNL28OoR9BHtbNqu+qcllqI4KL22c8dOr4uNhJRU39aZJp7KcHzgEw/tuRCGhF6c7aC9M0XF+7cB8JuQjskYNBYq3cnRCkYQ2oUzGc9PlWG7aQIk9TgVUkJcTZrnB2c5NYSzwRLSBBg74dyC9O1s9GqG/soixVzOHpsvqRxs1ZMxJfThbq6RS1J/BuCjDTnq9tKX8jw10lIPLu3HbSO7ZTHLN7cjk1olM5ioDWnnnog3M0RsZ4jYxhMfrvOcYyWjSjIyzSL969xtuz3Hy+WoDQ/S2JGTBmDZy/D46W4UIZox6QmpvI+S0KNtjTz07hpun6FMLwM6u/JFdz/YCqLUWesZHf0IgM1NWuoccKB7+nrl750N2xK6y9Bje6n+d/oL+KwlzvfELPf6AQcSSTZxoLXW+VAAisurOciqZ2r4bifd7mPHJ2DdezDoYAiXwN7u+zUZupVNcpi1ko//5UrJI2pLEdOvhz/pyXvY0eT5kdsodZn0eGs5rJzJoo2tqvrSsKPhx5/CsGPUvXIYuqXt76mo0ko2Nce5NziFkU1ucBun/06ZBW7ewvKhShVPmjnCD70QgF+l72FOfRP7WVpCr97bNTcVVRHVKVqFbmstGc5AtjkLsnPWNmKRZcKSm9Q1V8xmQ5+jAWPi1kwxEW0jm5U0x5LcFNaRqKtfh777QDDsCEpBaRRH7rMXg0QTG5pizF3f5InArogEVXSkRlDTmNQTyh1/m0tHIk1jNMlRjS9Ap/uubE0poye5QKiICGna4imsnAmlECyDoVsyw95iC9siiiE7fXm2Npk5Jpew0xfpTjVe29rVuGsoP8ATSZrS78oiC2POAuCtzEHK5CIlh7XMUGarQulYdwF6HUPPZCUL13v9XQdVFkG0Me/cVMQwPRizfjIepTWeYuU2w0OguBpevtrZbdpPFUhwFoWq3RSrAPWzX+K3s1aoKjHg2LhNZG3pWk8mNwb/ysbmuBN+fN2JI9RCZLhMhS7bqDLuZTL6U11z0YaWJFsaW7gkMJ0i+9FaXb/s1CClxoeNFK3hMmU+qCTKlrYEbZ0pBrGdQ6a7dT8BVtZdA4CQ+er5BfU/oTOVIRrTngbmAs/31cef0VnyTJXc0gtcUqe6/ca977B0cxvVGeO9BbyStQ1hqKiLtcvpaEury+Mvy6MxZWgGpSJBnbUeSyivKIBLahYp7xQbB02EscrzYNXICxXtjkueN+lT0yLlzVMmo+5i8fefgSvnYxXluFFqd9fR2/8BqKCi0wIfucdrR8O4H6jtUDGJiDKxZKTx8ZfU0FaitIDp781x24WAo/R4vXIeYant5VqylEVVHCDW8tnUScQ2LaaiKMTVwRfc6/vuT1prkM6ag/YKOo4FTHlrtSrYHdIaiC4YAu64tozxEQkG6CdaCKx7l/ptUUbWRLjmayOYduwWeN2N+AQI6CRvZZWqf6pEOxsaYwWrO9kSelZPAoGIyjfTGk8hO5R2nD3qWs/3bcKR0NvVQvLz4VsZaCywJ/uMVpoQrsYRCEUchp7VPvlb1yhNYOu+3/X8vs3QBRIqBiKrhtFMOR2daTLxrteZdhV6HUN//c93Ujv1MO6YoQJwbjplFGUfPwJ3jcg718PQAa6YQyJQxol8xHsrtxLGcOszvQXOeYzO4SeqQ12s8v8k8DRvr9jGRUHtrudRwxQzSoX0B1/3TQDOCMxGJNv5x2JlNpi4+U6lEQw8SAWXANy4zvmwAO9K/9jznc3vWG9xmXyGW0J/4cNvtsD8P8FrP1MHy/qTHO/1vFG/pT7EG0LT+Mr2GQyoKOLusr94zykbQKJUSfKWMCSg0+5xNtviKUrsiL5DzoODz4MfL4ERxwOQDiqmIgyXt2BEPVMmGUdKyUodft4c6KOq19y4Hs64zzm/05BS7TQIAOX1MzjTep+Kt1VELX1dk4iNNPleBD956iOufGoBRSQ4d/0vvAfDpTDuIrhlG7ES9ezSqEjDVW5ATZXooIwYIzJrXW+HcCn03QerqBwPtHR/ZKvSmEwffE66HS5713O61O9aZL3uhpES9bvvR9RE2zLht+rAmDOVR0dZLbaGIfTYCYdDlIoEIzZPp+WJ8ykKBbjWZugHTtRSpvaG0YzdZopHBZZy9XvjaF36Osdm9AQ0wkiToMeqNBi60G58Z9XfQhXtzIqezY//eQTj516nvEgMBINqwq3dX2m1p5YsY1tHgiMspTEy8Snn3Iy98KpptGpGMFhspyMaZd+N6nmsqNfTy4SzBjXiqwCuCUkj1Mc1mTluleESJ3Xv0I6PYdN89vmbEnqqaryCW8YO4rKDwYqrqLGitCfSJNepvmst3ovuwpdi6EKIk4UQK4QQq4UQNxU4HhFCTNPH5wghhu9sQm0MGzyAIWI7H7z3JhGSfH3tnfAPg6Rjr2dp6XgAkuEcht5vFA2DVRDC2++86UQAmuYYakbAAWcRKLFrDHbttnWIWMXZds6YfU5UC4PDj2V5uRqobcXaFGTkI2f5DH49fRkHiHr61dsf2Hfg3GmKaRZXe6XysMEkghG45E2SeqI4N/CG+vlXr4CXr3HPu2YRgcoBXdINcGnjnTQ0NnFU2pD6Lv8QfrzYSUXqsZGOu8jZPPz2N1w/+5qRcOb9HhukLU1ZBkMvK1NM/p/LN7JKR8aGSVGZaYHhR6sUpwMOYEuduk/KKG4tjrve2b4v+Dt+Fza8YkL5tlPT5JL6urKXjuqYzYot7UywcnLqHDIJRp2uXTrChteCIfH1GQnXLubDTB2jxQYeDN2rD+SYaSI5EnqZ+/GvnPqfHi8nKgbl+03bUmhOLdDIed7EboGqfPOCPQFZEdUf28a642FQYg2ZqBuAxyk6x5Bmlkm8Nm8bkwKzqM1uVQKP4SkWsLfNXDEn3MzS7DDKs218XJSvNZkQdj/13Yfm4mFcl3mM8NwHOcJaqgJ0jMnDlimkfs/h6oFYQvLJijVcmNDCyHE/7fpmtta330lQOyqfFiOJVhTF/AORMkdCn9j2GDzsuhz229+7AB/S876T5qK4hr5WB21tbWQa1AT11qFT6C58IUMXQgSA+4FTgDrgP4QQdTmnXQw0Syn3Ae4F7tjZhDr0DFPMcry1jOfDkxm5LieL4bHXEbcUQ0qF8yMJ44dfBcBXt/2Zu0N6tdo0G1yt8qUEKpSa7wTngBo4pf349BjFUF6MGKrkkHFw9QK48BUVcAJ0lOTb9q9JPcLVgRd4JXKL27jPBLXIddjF+iEN6TA3m+GQQ1l/lGJSlaJwdjtCRQRq8yVXwCMV/r3VVaP5+WfKdh8IkdXucp5sfQZNtTTzYFgztVwzA5DW3hVmJsOyKsXcftp6G0umfI+xYiU3Bp/GIgOD3RiCdK0qB1eZMTSm/U6Cya28bh2V/zxG/ywedLZuMsrS9VFBHQ+G7+WC9LNMCevUBIdfBpe+A9+a4plAba8FK3cir9qL6rrjGWX9i6MD2sPla7d4z4mU0RX22/AMwxYan8WoM/LOSWrf6kBO8WmqhrK1ZB9nN1ydP65KhJoE+g9QzH54nddz5gHhJopzvKD0c6fTxgRyuRvc5uQtOdm4FtdkIsy0A4EQj6ZPyaOrIIxkcR0DFYM8ctVdXB58GVk7ymPmsrW8rO7bULWSdo+pdzVGU5jIg+nWenCBhcl+LpPv0AvLVqS0y0XWSK3XEhC2VB84i+gVgzhAruI3y79B2TuKP6Sr96G78GUk9MOB1VLKeillEnga+FbOOd8C7Ljw54ATRW5e0p2E6n5DWZvtz82hpzjAWuceuOg1+NkmCJciI8q7IFiU/4HtXzcWUOYPB8dqCdBQrSM1ShVbUj3BPe9rt8BPVzHq+O+xRRrS/48+8gQD2cmOgtWGqnXVArZbfakSUa4LPee2n/3ol3lsD6rGnsVG2UVynxuVF0OoVNEXEznpBAYexNaznve2Xb3QM4CDYXVNZ8BrQmjcS7mrzS36kdvYL3duh6pSJekMHOQ+v1XpSpXfDnzAC5HJXBx8VWWdsyPogPJ+qt+H1nojQAHSh+eEdt+0wbMbKVHXDBxgaCejTqN9lLJ7Xh8yUs2edLtaUM1BsESNnXRpvoYzaPw5znay7hyvNxJ4okNtfHCMmy7hh0HtifODVz0Sr43KMsXIKmry771yzLXOdqQmX4W3TlQmqLCW3ksjQR4aN50zE6oM3cHWGvfe9vMMU55fdYONsdx/DImjrvP++FhvZGNAp0P2eJEBF19xA4+lVbnDdXtPhL77q0Xfi2bCrYY92WANQ876Ne+XuxOBlSOItAbVOA+FtDfJSCUtnx5QmmXb0TcXTMq1Iau1IzN9gOHemv3pOrIHnAPH3eC0bdeLpYHyWo+vuY0nD30+r01o4aexYoy+x/i8c2pK802AuwxSys/9A84BHjH2JwFTcs5ZDAwx9tcAfQv81qXAPGDe0KFD5b+LZ6c9IdffebSUt1ZI+cF9UrZu8hyPNTfIxY9dJTOJeMHrP5n3ntz0P2Nl/OUbpUxEu7xPy+qPZKZ1S8FjH7/zolz8x0kyvWVp/nUN6+X8h38k08mEp33he9MVzfZfvKXLe6956wlZ/+5fuzze1BaTqe1rpdy+WspUouA57ZuWyXjTpoLHHn/iYbn1tjqZ+ef9ecfSqZT84KFr5LbN6z3t2VRCrrhtvGy8bZRMPHe5lImOwsSlOmXs1Vul7Gz3trdtkdnJ1TJ9a5VsnDJBymcvknLbytyby+wbv5ayY3v+88STcuaDN8qtb+bTLKWU2Xir3PzKbVKmOr3tiahc8ftvuv3e8q/CdEsps5m0/Oj5e2RnrL3g8TnP3StXPnqJlMnCY0suela9EwNNDf+SD951o/zs9oNk64z/kjKbLXxtKiEbXvmVzBYYk8l0Rs548m655vWHu6S9K6x/6mq5ZspZUm5e5D0Qb5HynbsKPsuH8+bLRfefJ2Or3ss7ls1k5LvP3icbt+V/G39fuFFOmXK3bGtvyzu27ZN/yCXvPJfX3hJNyuf+/IBsf3xi3rtr2rJezp36E5nNpN22hS9LeWuFXPjw5TLbxXtYU18vl8+enkN4VsqXr5Xygz8UvKZt8yq5dsa9zvvpnP2ofObh38hJP7tN3vSnWbI1nsy7piOekE//5REZT6RUQyIqE9N/Ju/9w73yjnvulPe9tkRmu3rf/yaAebILfi1kgYRRJoQQ5wAnSykv0fuTgPFSyiuNcxbrczbq/TX6nO2FfhNg3Lhxct68eV0d9uHDhw8fBSCEmC+lHFfo2JcxuWwCTB1viG4reI4QIghUAvl+hD58+PDhY5fhyzD0ucC+Qoi9hRBhYCLwUs45LwG2oe0c4E35RaK/Dx8+fPjYqei6jLWGlDIthLgSeA1V8HuqlHKJEOJXKFvOS8CjwJNCiNVAE4rp+/Dhw4ePbsQXMnQAKeUMYEZO2y+N7U7gO7nX+fDhw4eP7kOvixT14cOHDx+F4TN0Hz58+NhD4DN0Hz58+NhD4DN0Hz58+NhD8IWBRbvsxkJsA9Z/4YmF0RfoMmhpN0NvodWnc+eit9AJvYdWn06FYVLK/Hzd9CBD//9ACDGvq0ip3Q29hVafzp2L3kIn9B5afTq/GL7JxYcPHz72EPgM3YcPHz72EPRWhv5QTxOwA+gttPp07lz0Fjqh99Dq0/kF6JU2dB8+fPjwkY/eKqH78OHDh48c+Azdhw8fPvYQ9DqG/kUFq7uZlr2EEG8JIZYKIZYIIa7R7ZOFEJuEEB/rv1ONa36maV8hhDipG2ldJ4T4VNMzT7fVCCFmCSFW6f/Vul0IIe7TdC4SQoztJhr3N/rsYyFEmxDi2t2lP4UQU4UQW3VBF7tth/tQCHGBPn+VEOKCQvfaBXTeJYRYrml5UQhRpduHCyHiRt8+YFxzqB4zq/Wz7PSykl3QusPve1fzhS7onGbQuE4I8bFu77k+7aqU0e74h0rfuwYYAYSBT4C6HqRnIDBWb5cDK1GFtCcD1xc4v07THAH21s8S6CZa15FTFhC4E7hJb98E3KG3TwVeBQRwBDCnh971FmDY7tKfwHHAWGDxv9uHQA1Qr/9X6+3qbqDzG0BQb99h0DncPC/ndz7StAv9LKd0U5/u0PvuDr5QiM6c478FftnTfdrbJPQvU7C62yCl3CylXKC324FlwODPueRbwNNSyoSUci2wGvVMPQWzuPfjwJlG+xNSYTZQJYQY2M20nQiskVJ+XjRxt/anlPJdVL7/XBp2pA9PAmZJKZuklM3ALODkXU2nlHKmlDKtd2ejKo91CU1rhZRytlSc6AncZ9ultH4Ounrfu5wvfB6dWsr+LvDXz/uN7ujT3sbQBwP/MvY38vkMtNsghBgOHALM0U1XavV2qq2G07P0S2CmEGK+EOJS3dZfSrlZb28B+uvt3aGfJ+L9QHa3/rSxo324O9B8EUo6tLG3EGKhEOIdIcSxum2wps1Gd9O5I++7p/v0WKBBSrnKaOuRPu1tDH23hBCiDHgeuFZK2Qb8LzASOBjYjFLHehrHSCnHAqcAPxJCHGce1BLDbuHDKlSpw28Cz+qm3bE/87A79WFXEELcDKSBv+imzcBQKeUhwHXAU0KIip6iT6NXvG8D/4FX+OixPu1tDP3LFKzuVgghQihm/hcp5QsAUsoGKWVGSpkFHsY1A/QY/VLKTfr/VuBFTVODbUrR/7f2NJ0apwALpJQNsHv2p4Ed7cMeo1kIcSFwOvB9PfmgzReNens+yha9n6bJNMt051jd0ffdk30aBM4CptltPdmnvY2hf5mC1d0GbTt7FFgmpbzHaDftzd8G7JXxl4CJQoiIEGJvYF/UIsmuprNUCFFub6MWyBbjLe59AfB3g87ztafGEUCrYVboDngknt2tP3Owo334GvANIUS1NiV8Q7ftUgghTgZuAL4ppYwZ7bVCiIDeHoHqw3pNa5sQ4gg9zs83nm1X07qj77sn+cIEYLmU0jGl9Gif7swV1u74Q3kPrETNejf3MC3HoFTsRcDH+u9U4EngU93+EjDQuOZmTfsKdoHXQBd0jkCt/H8CLLH7DegDvAGsAl4HanS7AO7XdH4KjOvGPi0FGoFKo2236E/UJLMZSKHsnxf/O32IsmGv1n8/6CY6V6PszPY4fUCfe7YeEx8DC4AzjN8Zh2Kma4Ap6MjybqB1h9/3ruYLhejU7X8Cfphzbo/1qR/678OHDx97CHqbycWHDx8+fHQBn6H78OHDxx4Cn6H78OHDxx4Cn6H78OHDxx4Cn6H78OHDxx4Cn6H78OHDxx4Cn6H78OHDxx6C/wM4AvQQF1X3XgAAAABJRU5ErkJggg==\n",
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      "text/plain": [
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       "<Figure size 432x288 with 1 Axes>"
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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 0x7f6596e93198>]"
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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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EW7eXw/Uurpl35qhgpNLh9pGjp4ONY/xPeHRzBWWNXay+c4ljUuyiQQm1IioaXR6u/t3Gvs4tifGCsdmpfGT5BL64ciopiQP3p3OK5zUc751oQUo4N8YnoyLB5fZTkhub+eJuX4Antp7kJ68c4pIZ+Vwxu9CQ/dqdTqqEWhEVj24up7nLw9/vOodF47PJSk0c0oNxktcVDltPtJCcEMeC8VmG7VNKZ4dB2ntirwP5zpOtPL6lgtcP1NPp8XPhtDz++JHFUXvTTrlOsXU1FI7jP3trWTE1j0tnFNhtiilsKWtm8YTRJCdE37k6Fh5SHn+Ali4vBZmxU7zoX7ur+fLTu8lMSeCaeUXctHgcyyfljIiQRy9KqBW66XD7KGvq4kNLxtltiim0d/s4WNvBly+bZrcpllHfroWwxmTrE2qrM1q6PH5+8NIBlkwczaN3LyM9wmYHsYLK+lDoZn91OwBziyMPCzg9RQ1g/eF6pIQLp50d+dOg1TMBGKunlKsNDuybhxto7fbxjatmjFiRBiXUiijoFep5kQh1DI1G/72nluLsVBaNN7ZGhFMfUV0eP/e+sI+khDjmFo+y25yweOtwI6PTEk1fMWq3X6GEWqGb/dUdFGen6krlcjpt3V42HGnk2vljiIsyf7oXp4dMNxxppK7DzX23LIiZJf+ldR3MLc6KOsd9MJxyzZRQK3RzvLFTdzU5p3qVvbx2oA5/UHL9fP1FmGKN9aUNjEpJYNUc/QWMrLyugaDkaH0nMwqNWTHqZJRQK3QhpeREU1fE+bYOcVCG5d97apmYmxYzIYBokVLy9pFGLpqer7sxgtXXtrq1B48/eFaUng37iggh4oUQu4QQL5tpkCI2aHB56PYGmJwfmwsjhqLR5WHT8Saunz92RKV4DcWhWhcNLg8XT8+325SwqW3X+iAWZ5vfXsvuEWAkj84vA4fMMkQRW5Q1dgGMyI4na/bXEpRw3QJzlo07MePlrSMNADEl1L3NhouyzMv5dkrue1hCLYQYB1wL/NVccxSxwomm6ITagVrVx7/31DKtIMPw2KczbvmBeftwI7PHjKIg2i7dFl7X2nbzhdophOtR/xb4JhAc7A1CiHuEENuFENsbGxsNMU7hXCpaukiKj4s439bpoYTSug62VbRw/YKzJ+zhcvvYUdHKxTOi86atPl917W4ykxPIGMH5070M+wmFENcBDVLKHUKISwZ7n5RyNbAaYOnSpQ72lxRGUNPmZkx2imGpa3YSCEq2lDVzuM7FXzeWMTotiTuWx3bVv0h491gz/qCMqbAHaEJtlTdtd7gqnEfRBcAHhBDXACnAKCHE41LKj5prmsLJ1LX3UBTVMNkZz/LKlm4+/eh2SutcAIzNSuHRu5eRm5Fs2jGd8cnf5+0jjWQkJ7BkYmw1f63tMF+onTKoGlaopZT3AvcChDzqryuRVtS0uXUVZHfI9x6Aw3UuPvrQVjy+AL+7bSHnT8kjLyPJtCG8U276/kgp2XCkkQum5kbcI9Fu6tp7mF4QW6MAvYz84I7CcIJBSb0F3oyZ+ANBPv3oduIEPP+585l2FiyaGIhjDZ1Ut/XwxZVTDdmfVaMFKSVNnV7yM80b+TiJiIRaSvkW8JYplihihpZuL/6gpDCGb5KNx5o42dLN/XcsPmtFGrSwB8BFBsSnrRwwdHr8BIKS7LTY7+0YDrE11lE4gkaXVgozmlQuu9Pz3j7cSGpiPJfNMqYDSCTY/dn78/aRRqYVZFCcraNano209/gAyEq1RqjtvmRKqBUR0yvUeoadTonT7q5sY964LJISrLsFnJbu1+31s7WshUuiTMuzA6uF2m6UUCsipk+oTcyMMJNAUHKwtoMF44xrrxWLbClrxhsIcvF047rzWJXG1ivUo5RQK8xk+ndf5SevxOaK/MZO/R51L3YOJRtdHrz+IBNjtIGrUTy/o5qM5ASWlhiTlmflgKFDedQKs/H4A3j9QVZvKLPbFF00ujykJcXr6qjhhNoJ1W29xXxiKy5rFB5/gKfeO8l/9tVy9wUlg3aKdzKWx6htDlKr9DwbqGnTahSkxuANAppQF8RwxkefUI+2R6ilDeOJ5k4Pv3r9COtL66nv0EZE503O5YsrY7MfpFVC7ZR5BSXUNlDZ0g3AOJuEIloaXZ6Yzl+tCQn1mBjOA48EKSWfeWwHe6rauHruGCbnpzM5P4MrZxcaPplq1SOovcdHfJw4K+p8gBJqWzgZ40Ld4HIzoyi63GM7h5K9oZvMlLMjvnmgpoPtFa383wfm8PHzS0w7jpW+Z3uPj1EpCY7xeM1GxahtoLcpbCyu7AsEJZWtPbrju064r1q6vCOyz+NgvHeiBYBVc/W32HIa7T3+s2YiEZRQW847R5t4eltl6DcHqFaElNZ14PUHmR7Dq/mau7zk2ijUVo8m9la1UTQqhcJoa007iPYen8VCbe9sohJqi7lv7eGYjat1efzc9fdtxAl0FWTqj51lI1u6PLZ41HaNJg7VupgzdmT1fuzo8VmSQ+0UV0oJtYW0dHnZVdnG3SsmhSbj7F6YGhmv7q+jweXht7ct0p2D7IQvfkunl5z02J0MjYRgUFLR0mVZyzSrnr8dlnvU9qKE2kLePtKAlHDZzAJHCFakvH2kkfzMZK6fb04vQSuQUtLc5SUv4+yIUTe4PLh9QSZaINRWTuxZH/qwFyXUFrK+tJG8jGTmFWtLl+1Ooo+EYFCy6VgTK6bmxfRMe7c3gMcfPGsmE8ubtd6WJbnmd+q2Ciml5UJt972qhNoi/IEgbx9u4JIZ+cTFCUdkP0RCaZ2L5i4vF0zNM2R/dn3vW7q8APbEqG0YR1X0CfXIWS7f7Q3gD0pLhNop96kSaovYUdFKh9vPZTONK4BjJe8c0+oWr4hWqG3+4vcK9ei0s8Ojrm5zI4R1qaBWrLo82yrngRJqy1h/uIHEeMGKae8Lnd3DqUhYe7CeGYWZMZn73Z+20E0+Ov3suMkbXR5y05MsabNl1TO4tVt72J4tTQNACbUleP1BXt5Ty7JJOX2r4ZxQnChcatt72FbeyrUGTiLa9ZBq67vJz4486kaXm7wYLUc7GL2jIjMbEDsNJdQW8PS2k1S39fDpCyef8rodxXn08J+9tQBcZ4BQ2/2A6h02Z9swbLYj3tno8kTViceJNHdaP89g952qhNpkerwBfr/uGMsm5XBxv750TpmkCIf/7Ktl9phRTM7PsNuUqGntOrvimw0uj6UNHqwYLTSHPOo8C3Lh7XYselFCbTKv7q+lqdPDVy6fFpNpbSeauth1so3rFsRu7nR/2nq8ZCYnkGBBzNZugkFJU6eHglEWCbVFX+/q1h5SE+MZlRqbK3z1MOy3VQiRIoR4TwixRwhxQAjxf1YYNlJ4bkcVE3LSOG9y7hl/i4XJxIfeKSMpPo6bl4wzdL92hX3au31knyUTiW09PnwBGdO1wwdid2UrUwsyYtLx0Us4boUHWCmlXAAsBFYJIc4116yRQVVrN5uON3PzknFnfKli4SvW0uXl2e1V3LhoLAWZxsQ57b63Wru9ZKfam5pn1UOqwaU1qIjl2uGn89iWCnaebGPJRGPah4WL3U7VsGMHqVXP6Qz9mhj6FwO+oP28sLMaIeCmxcUD/t3pJ/HxLRV4/EE+ddokaCzT1uOzLa3L6mdUbxNiox6yTuDJrSeZNWYU914z05Lj2e1Y9BJWoE4IES+E2A00AGullFsHeM89QojtQojtjY2NRtsZcwSDkud2VHH+lFzGjT5z+a7Th22+QJBHN1dw8fR8c0qa2vSUauny2pqaZyUNHdE3IY4UMz3Pli4vh2o7uG7+GJITYrONnV7CEmopZUBKuRAYBywTQswd4D2rpZRLpZRL8/Pzz9zJWcaLu6s52dLN7csm2G2KLt463EhTp4c7z51o6H7tfDwFg5LaNvdZ09S2t1u8VTFqszMktpQ1A3DelDPne0Y6EU19SynbgDeBVeaYMzLYX93O/764n4Xjs7lm7uDZEnbHvYbiuR2V5GUkcfGMkfPQrXe58QaCtrdAs+q6N7k8pCbq6xbvRDYdbyIjOYH5oaJmVmL3modhr6AQIh/wSSnbhBCpwBXAz023LIaobOnmjUP1tHX7qG7r4aU9NYxOS+SBjy4hLs7ZIY6BaOnysr60gY+fV2LJ0mOreGFnNQCT8+0pUGR1tKup00Ne5sgJ82w63syySTmWplY65e4N51E7BnhECBGP5oH/Q0r5srlmxQZSSn77xlH+9OYx/EHtiZuVmsgNC8byzVUzY3a2/dntlfgCkpuXGpuS1x+r/ZOq1m5+9fphVkzN45yS6LrTxApNnd4Rs3y8tr2HssYubj8nNkOJ0RJO1sdeYJEFtsQc60sb+N26o9ywcCxfv3IGY7NTiY/Ag7Z7ONVLe7ePNQdqaejwUNPewz93VXP+lFxmFhnfvsmuSdRX99UhJfzkg/NG1ChhKJo6PYzPsa4OtZmXduPRJgAunG5Mmd1YY2QEr2zimW2V5GUk8+sPL4h4OOaUpI/91e184u/v0dT5fkWylTML+P71c2y2zFhe3lfLvOIsJjiggL5Vj+emTg+LJmRbdDRzefdYE3kZycyI4abK0aCEWiduX4ANRxu5del4/TEzmx1qfyDI1/6xh/g4wYtfuIDZY0aRlGCNt2nlRGpVazd7Ktv4n1XW5N4OhpV1I9y+AM1d3hHTeXxPZRtLJ462bURm98T/2TEGNIHNZc24fUFWzirUtb0TPOrNZc0crnfx7WtmsXB8tiUibcfnXrO/DoCr5xZZf3CbKGvsQkqYWmBtIS0zusu73D7Km7tt6aTuhPsUlFDr5s3SBlIT41k+KXYnptYerCctKZ6r5oxsAXt1fx2zx4yixKJO3Hbjcvu494W9AMwaY524maVpB2s6AJhrQ1qeU1BCrQMpJetLG7hgai4pifpXSNk9lbinqp3547Ki+gx6sWoita7dzY6KVq6Z55yHkRleZ3+e2VbJnqp2vnPNLKaMgNK0B0JCbYdH7RSUUOvgeGMXVa09XDJDf/9Du+vc+gJBDtV29HVEtwqrP/Wa/VrTg1VDLDyyCquG0a/sq2Vu8Sg+fdHIqNGyv6ad/MxkWxsgqBh1DPJmaQMAl0bZqNZsz2oojjV04vUHR/xw8pX9dUwvzLA8VmsXjS4PuyrbuGKW9SOIS5qe5E7/84bv92BNh43etDOC1EqodfDm4QZmFGZGVTPC7kmK441aQURTCi45hEaXh23lLVztAG/aKtaX1iMlXDFb3yR3NFxb/wCfCzxh6D67vX6O1LssH/k5DSXUEdLo8vDeiZaovWm7qWjuBmCChQsi+mPFYOK1A9oil2vmnT1CvWZ/HcXZqcwaY/ED2KQLeqCmg6CEBeNGRj64XpRQR0Btew/X/H4jksFrTEeCnWGvypZu8jKSLC/YY+VI4uW9NUzOS2d6obPCHmZd90aXhw1Hm/jAwrHW5xt3VJuy2z2VbQDMH688akWYPPxuOS1dXp6559yoQwZ2R75OtnTb5k1bQUVzF1vKWvjgomLH1/42in/triYQlNy0KHonImIaD5uy223lLRRnp9re/MDucg9KqMOky+PnqfdOsmpuEUsNKupj50yy3UJt9kd/dnsVcQJTC0s5iWBQ8viWChZNyGaaHfMOVdsAqMW4sriBoGTT8WZWTLWvvkdB7XpeTPouBH222QBqCXnY/O2dE3S4/XzaoLZUdnp5Xn+QmrYeJtjheVkwlujxBnhmeyUXT89nTNbZ0STg9YN1lDd387UrZ1hzwGAAanbB8Tfh+Do4uRmANjEKo2YEdp1sxeX2c8E0+4R68bufgzgo9bQD9tmhhDoMqlq7+cuGMq6aU8jC8bE/qVHT1kNQYmllNSv568YyGl0ePnfJVLtNGRCjR1ItXV7+3yuHmFqQwSqzlsl3NUP1DqjdA7W7ofwdcLcBAsYsgAu/Ts22fyI8xn24f2yvJC0pnpV2TdwHg/1+sTd8poQ6DL7xrLYc9zvXzDZ0v3ZFPk62aBkfE3NH3pLqBpeb+98+zlVzClnmsOX9GZ56Lo7bA1wZ1X4qW7rZdLyJssYu6jvcvHOsmQ63jyc+tdz4Eq5NR+GlL/V5zADkTIFZ18GUlTDpEkjXWphB9XgAACAASURBVGO17d5EnKfOkMMerOngxd01fGhxMRl2dKjxuOD5T/X9aveCFyXUw7DzZCuby5r53nWzDS2RaefzuaLF3tQ8MG+xz2/WHsEXCPKtq2eZsv9ouO2dVdyWBO18Q/c+Xt1Xyxef2kUgKElKiKMgM5m5xaP4+pUzjF+8FPDBk7dCTyus/C5MOB+K5kHK4ItPhE73IxiU/HbdUTYebaSly0tlSzc56cl89fLpeq2Pjo33wZE1BEU8cTKA3QUflFAPw0PvnCAzOYFbzhlv+L7tWplY2dLdd5NbjVmheSkl/9heyVPvVfLJFZOY5LQCTAZd6wfePs7E3DRW37mUyXnp5rZ6O/o6tByH256EmdeGsYFemYbndlbx+3VHWTwhmwXjsrl23hg+cUGJPdkernrY+gDMvZnDibOZteuHtrvUSqiHoLqthzX767j7ghLjh182utQnm7sZPzo1Jvs59iKl5LUDdbx+sJ7mTi8nW7o50dTFiql5fHOVRRNq4eJxwSv9vGid93yPN8De6na+tHKaNUviD70MKdkwLfxQjd5v1HM7qphemMHznzvf/nTKjb8Cvwcu/Tby3X/Za0sIJdSDIKXk168fRkrJx88vsdscQznZ0m17fDpa/+QP649x39oj5KQnMW50KlPy0/nUhZP48JLxljU/CIvWCnjqdmg8BIBf6rftWEMnUsJsq1Yd1u2F8cshPjHMDfQJbCAo2VvVxkeWTbRfpBuPwLaHYMnHIXdK38v6xwrGoIS6H/5AkBd2VrOjopV91e0crO3gSyunMm60ObFcOy59MCipaO6ybaLNiNuwxxvgwQ1lXD6rkL/cuSSiPpWW0loOD16mxXrveI69G//F9PInde/ucL0LsKg+i5TQUgaTLopoMz2CVtbYidsXtL+MqZTw2r2QlA6XfDv0Yu93Swm1I9hd2ca3X9jHwdoOctOTmFKQwY9vnMsdy83pemyXtFS0dNPlDTCzKHaLMW0ua8Ll8fOJ80ucK9KgTUh5O+EzGyF/Omx8KardnWzuIk5YNAnsqgNfN+SEv25ACnTpWe8DyMomBwOy5X449gZc/UvICC3cEc4YnQ0r1EKI8cCjQCHaZVgtpfyd2YZZyZ/fOsYvXztMQWYy99+xmFVzi6wZgln8kHb7AnzyEW0F2ZKJo609uIHsOtlGfJxg8UQH57R31MKep2DxxzSRDhHNt6rB5SEvI1l/j85IaCnT/o9AqEGfR13b5gZgXI6Ni5N2PwVrvwczroVlnz7z7zEwmegHvial3CmEyAR2CCHWSikPmmybJZQ3dfHL1w5z9dwifv6h+WSmhBuPiw47YnGby5opa+ziu9fOsmeZcX+i+N7vqWpnWkEGaUkOHhBu/qO2eu/8L/V7UXM59daNaHR5yLcqU6fluPZ/vzjt8OhzqWvb3aQlxZNpVb50Q6mWF95ZD+2V0HQMKrdAyYVw45/sr0E8AMM+mqWUtVLKnaGfXcAhwI61x33ct+M+Pvbqx6Lax6aaTSx+bDFPbCslTgh+cP2csEX65+/9nE++9smojt+c9VMqgvpnlJt7mlnw6AJ2NewKe5vNx5tJio+jcEwp5z15Ht6AV9ext9RuYdFji2j3tEe87QlXKZmzvkW7tynibddVrGP5E8spb27VnfWwu2E3Cx5dQHNPc8Tbdno7WfLYEt6pfmfwN3m74K2fwda/wNybYHRJ359eFSe5cby+VXa/2PYL9gZ+FpFQl7aUMu+RedR21kZ0rBPtJ5i375ecSEqBUeHXSnkgvZmfRfjxfrzlx7zR+mOKslIicl5+vf3XfPzVj0d0rP9a/1987/XPwQMr4OWvwFs/haNvQNAPl30P7nwRUk8daW7zlrNs4jg8AU9ExzKaiB5hQogSYBGwdYC/3QPcAzBhgjlx3V7+vv/vUe/jL3v+gi/oY2PFPhaOnx5Rm5/HDz0e9fH9CdVUBF8A/k/X9jsbdhKUQR498CiLChaFtc2m400smpDN73b9L52+TlrcLRSlR77kePXe1fiDfg63HGbZmGURbbu26gUAStt3AJGt9Lxvx310+7tp6aznupyJEW3byyMHHiEog+xs2MkVE6+IaNtjbcfwBr3cv+d+VhSv0JYYdzdpnpm7HRpLYcOvwFULs2+Aq39xyvaPi6OQqM9rfOzgY5AABenhC/Wzh58FYEPVBm6deWvY271y4hUA1uSO4XPx4dv7Vkpn2O/t5ZnDzwAwPyuyfOmHDzwc8bHerHwTgB9mjoGPvQhZ4yEhachtnujeRk9cHE2exoiPZyRhXwUhRAbwPPAVKWXH6X+XUq4GVgMsXbrU7r6tYXO8sYt7ljlrqbEZtHR5OVDTwVcum86/W+22Jjr8QWlviVYp4cXPw77n4HRPq3gpfPhhmHCuKYe2LPQBkGbdPEbRKAvj05d8K8KQjv2EJdRCiEQ0kX5CSvmCuSZZSzAoWT4p124zTOfZ7ZV9LZr+/a7d1kSPkcv5I6ajGg7/R5soLJwHmYXawpC0HCicO2yMM5p5qfwMC4S618BUC4U6y8IHUFirLE/D6bU+hBY4egg4JKW8z3yTrKF3Qic+TsRkBkQky8/9gSCPbq5g+aQcZo8dZVgRdH37kVFsG0Lo96gN+eydjTDzOvjAH6LfV4To6cQd8Wf2dmnbpVgp1CZ71P3vl9TIs4UkweHfZCLh5PlcANwJrBRC7A79u8ZkuyxjSn665e2orGbtwXqq23q4e8Uku01BhCYwhQzo3keCEPbWmQ76YXFkE1lGYUnooycUG7Mw9DFGxwMobKSEgzon7vsGRw5Pz5NSvoPdxVhNIBg677PHxmYvtkhmyP++qZxxo1O5fJbWmVoYdDn17Ce9fjvEQaqrQvdxczOSdS90MeSziziYfHH0+9GBnkJaEX/mkFCLVOvmbooinEyMiFe/Ce+thkn6kxyEzaEPZyy7sYFOtx+A2XYvWzWZAzXtvHeihTvPneiIVXyJXVq94kC8/hszN2PomXrTSc6EBP2ebTT3fJ4VMepejzrFOifGNKE+8KIm0gs+Ys7+LeKsFWqXW+uBNtPuhR8m85u1RxmVksBty8xNmRwWVz2892DfyrVoPJTcdJuEuiuUe51s38PdkjBdr1BbuHw6J82Ea1q9Q2t6ULwEPvD7KHfm8NDHSKXD7Yd4SEmKt9sU03h1Xy1vHKrnG1fNICvVmhWXZyAlbH8I1nxbS2XLywm9rP+Ln2OXUNdpnX5IGdkPd7pbwOJTbGjJ3Z422PO0tiQ8oxBueTSCCoCnE7IrBpaQjzge3FBGp8dPwshsGQjAnso2/uf5vSwYl8U9FxnTkDdiPJ3aCrB9z8LUy+HKH9P5zo/BtVfX7npvldwIFn0YSvlG7f/EEfzF8XuhuxmSYuxh5OuB5uOw/W+w8xFtwnfq5fDBv0C6fU1pjeKsE+rypi5+8uohcqfGY++iUGNp6fLy2OYK/rWnmsYODy6Pn6JRKfzxI4uN76N3OrV7oeJdrdqar0cTaI8LyjdAe5XWxmnF1yAujmjKRgZCM8A5VseopdQeOOUbYWxR1LUg7OrsMyxSwpr/AWlvKlpEdDZq4Y3j6yDghbgELb997s0w8XxH1u3Qw1kn1I9uriBeCKYVZrI/8nIPjsTl9nHz/Zsoa+rigqm5XDK9gPE5qdy4sJjRZocJ9j0XagLaKz5Cm2xLyoCcSXDDnwasaazn9ukVastj1G//AnY8DHM/AF27o9+fU4V6w680j3TyYpCR12KJFEMeWC9+TnuALrsHxizUxDnL1lJEpnBWCXWXx8+z2yu5Zt4Y2q0oFWkRf3m7jBPNXTzxqeVcMNXCYZ7fDWvu1SZrbntCW52XkByWF6Nn4UmfR22lUO98FN76iZY1cMFn4NU7DdhpZJ+92+s34JjDsO0hePPHMP9WmDQf9v7F9EO29/ii38mxtXD5D2DFV6Pf1xAYtUhMLyNHrcLghZ1VWsH5C0rsNsVQ1hyoY8XUPGtFGqD8Hehq0G6UzCJITBlepKMYigaC2pA8x4oYdTAA636kDaunrITrf2v+MQehtt1t7gHe+S38579h2lXaakuLwgXVbT3R70TEw8KPRr8fh3PWCHUwKHl4Uznzx2WxaHy27U/IaOkdNrp9AY41dHLRtPzwtzVqCfmRNZA3HUpW6Di2fo86O03/QDCsz97TCk/eqjU5XXQn3P5MVHnTZxoR2WfvLayv+3BDfeaN98Eb34c5N2mjon6f0+x75FhD5NX2zmDCee93YzERu+cVzprQx7rSBo43dnHfLQvsb6BpIE2d2pSo5d40aGU9L/qePg9Mxxc/ENomIc5g/8LbDWVvQkeNVrJ07zNah5brfgNL7jLcw4xUAI81uIw7eDAAzce0z1n2tvYwmnuzlh0RQUnTaOny+Pn7u+UQbTP1iecbYU4YKKE2HX8gyM9ePcTkvHSuXzAWMG4ZtV30Pmyau7zkZSRF1APRuCXkwPxbItwmmtBHaLFMFMJ5yvF9btj0B9jyp/cXeQAUzYeb/goTlus+jlG0dHn56zsnIPKy4X0IBBxeA5t+DzW7wdf1/h9nXgcffGBAkTbzHvnH9kp2V7aROSvKHU08zxB7hsNuvTgrhPrhTeUcb+ziL3cuMT9VzWJau72cPynX2AUD4TJ6MmRE2rFEv53+oDQuWOftggcvhYaDMOMaWP4ZyJ8Fabmme5YyGH7625NbK6hq7SEzCqHGVQevfh6yxsGiO2DsYi0zImu8lpljA5uPN1OSm0bUiVdjw2uaETU2pyyOeKE+0dTFr18/wsqZBVw5u9Bucwynxxtk1hiLFyf0Cs2YBbp3oacJqj9goFDv/Qc0HdHizzNWGbRT49ld2c7UggzqdWzbN/IoexMSUuFT6yHdGbXXD9R0sGhCNm9Hm/hhWc1slfVhGh1uHx//23ukJMbxoxvnjqjY9PtIZhRZXHuit1eiDqHWO5XY3u0jaOSEzokN2sIIG0Q6GIF3dqi2g1lj9F3fvgmw+gNasXyHiHSnx091W4/uz2UtztCMES3Uf1h3lMrWbh782FKKs22sX2wykcSnDaEnJNSFkfU8hP7zcpGJ7smW7oiPNSRBv75OHwYgwxTq9h5fSNCivL6+bpjpnBLyR+u1ydFpOhsU47dhTbHNWR8jVqjLGjt5eFM5tywZz9KSM+vq2pqeZ8BFl/0yICJ9CPV+dt0pR6GJN5kY+cNPnvHD8LR3+/jKM7tAaiofTapU33UXcTDepsnCMO0vrdVak+r1PHtHkDIuAaZcFvH2Zt0jR+u1tLzpeitXNh420JrwsDuZd0TFqBs63Bxv7KK2vYfVG8pITojn61fNsNusM2k4aNiuMlISdE8kRnwjBoOw6Xfg7YTUKOsHRyC2/9xVxfHGLiaMSaTVgMVsAIyeqC11t4XwPvvBkFDPjjb0kT0BkqPNgzOOow0ukhPiGK+3QfHhV4w1KAYYMUL9uzeO8tt1R/ru/4LMZH59y4JBWxfZlm6z52lY90PINaa8aqaO+sS9nz0ioZYSXvs2bL0fJk4BfLrOodAxiFt7qJ4p+emkpGhCHV16Xogc+7pQhxujPlTbQU56kq6uLkBfpoLIHq9rc7PukSP1nUzJz9DXyGLL/fDWT6Pq1qIHuzu8jAihfmbbSX7zxhGuXzCW284ZT15GMlMLdH4RzGT3U/DiZyF/JhBdzLUj1KEmI8WCSyglvP1zTaSXfw5EA9RvM/+4aHHarWUtfOrCyWw0YMUxvtAqv6xxBuxMH+E8IKWUbDrezKLx2fofTL254Vn6hNosjta7WDZJR5uvExvhte9oYZzgUeMNczAxH6Murevguy/u58JpefzmlgVcMDWPGUWZzhJpKWHPM/Cvz8Oki+Get6PeZU2oTsKoFP0NAcKK9Qb8sPZ/NS9mwUfgqp8YMhEebnreW4cb8AclV8wuNCZrx6OFE+wU6nBCH4dqXVS19nDlHP0ppaIrVAHPQULtcvuoaXczLdL4dEctPHcX5EyGDz9sim1DM/w1e/1AHfe/dRx/wPic65j3qH/3xlFSE+P5/W2LSHDiYpaTW+CVb2jdQSacB7c/pRUvipLqVk2oM5L1h1CG9eyOrYO134f6fXDOp+DqX4ZqShtBeEK99mA9eRnJWn2WHVFOgoJWJxtsLYUZTtbH6wfrEAIum6VfqGVXo/aDgwrnH9EzkSglvPRFbZHSx1+GFOvT+sL5zj29rZLjjZ187hLjw2rD3nVCiL8JIRqEEPsNP3qUdHv9rCtt4ENLxplfd1kPx9bBozeCux2u+y3c+SIkpRuy697KY0kJJrQSk1KrTfz4TVrO9IcfgWt+ZYxIR+AU+wNB3j7cyGUzC06ZMI0qG6HXo06yc3ItHO+snqUTR0fXzLZXqB2SCwxas2WAOZE0lT66Fo69ASv/FwpmmmTZIPR24hrmmrl9ATYfb+bi6eYUiArHo34Y+CPwqCkWRMGhWhdef5ALpkTuMRiWeuRxaYLcUqZlQ/jcmrjVH4SaXVA0VxNoA70aXyDI4boOyNE3sdb32SVakZ4D/4Qjr2klS90d0NMCreUw78Na4f9BKsfpOYd9C17C8FD213Tg8vi5cLp27vrSzfReOymRNvQDPINhHOrKlm4O1nbwnWuiKIRRsxvR0wKJmbrPlxnpeXur2snLSGJMuF3Hg0FY/0MYXaKN6uximO/r5uPN9PgCrJwZaUmF8BhWqKWUG4QQJaYcPUpK6zTvaKbVS6h7KX8Hnr4D3G3a7yIeElM1rzl/Blz8TTjvC5CSZehhv/aPPbR2+0jVMR/THxnwwJO3aN5K5hgtbps6WktdW/5Z7Z/hqznD39+WMq0SxPJJBqyo87m1OQJfNyTZ3fNw6Jt+7UFtwfgVekoeSAlv/Uyb/M1zxkrE/uyramdecVb4Dsaux6BuH9z0ICTY/YQdnHWl9aQlxXPuZHPOuWExaiHEPcA9ABMmWJM6U1rrIjM5QdeqQ0NSj569C9LztTq+YxdbIgAnm7v5994aVszPZbdXX7y2Lz1v6wOaSF/9S81biTC0oSs9L7RJOOlOW8uamVqQ0Zdi2fdZI/3ILWXwwj1QtQ0xbSH4WyLcgbEM56m+frCOGYWZlORFGCYLBrTO25v/CPNuQeZmQ8Ua3d91o9Pzur1+jja4uGpumBWmjr8Jr34TJl6gje5sJTDkXzcebeL8KbmkJJoQisRAoZZSrgZWAyxdutSSrMPSug5mjsm0r4aHuw0+9iIUzolos2gmwx7ZXE68EHxgYTG739O9G41dj8P822D5PVHuSA9DnwN/IMi28lZuWDh2gC0jOH9lb8NTt2sV8W7+OzRuhJNvRGqsoQxVPa+1y8t7J1r4wqVTh9+Rzw2uGi1c1XwMNv8JanbCOZ+Gq38BW/+fgVZHz8GaDoIS5hcPMML0e2HPU9BwCDrrtIp/lVshbwbc8piNTWqHD7dVNHdR0dzN3ReYV4kwprM+Smtd3LhI3+y97vhboF//uit+FLFIR3PsTo+ff2zTej5mpWoTRdHEqGXAB+d+Vpct/fcT0TZhriE/UNNBp8d/ylCyL0Yd7oPu4Evwz89o8c07noWsccg3N0Rss9EMdd7WlTYQlHDl7EG8Tlc9vPMbOPG2Jmr99zVqnFZHe97NIETUMX2jY9R7q7SJxPnjBhDq9T/UaoMnZWht3TKK4NzPw8X/Y0uWx+kMdS42HNXSIC8yaSIRYlyoXR6/dfFpb7f2Rdr0eygOBYeXf8aaY4d4bHMFLo+fuy4ooTHYOPwGwyBzJmudm62kTzyGZuuJUHx6coSBeL9XC+e8t1or7zl2MXzkGR11s+3h9QN1jMlKYW7xIOL03F1wcrPWx3HW9ZA9UZtXyCjQajPHmTP0NoJ91e0UjUqhYNQAE4nvPQjzboGbVtvoPQ/BUN3MjjQybnQqJbnmhT6HFWohxFPAJUCeEKIK+L6U8iHTLIqQmTpLfIYdfwv4YN3/wY5HtWyOWR8A9+7QTnTW2NAR+mhwufnj+qNcPquARRNGs7YiimXUwVC8bcY1Ud0U+paQi9D/Q7OlrIXJ+ekUZJ55U0ukVkFt/wta3ZSeFi3H1uOCqm1aOmTmGLjs+9pkbr+sFbs7dcDgedQ93gAbjjZy69Lxg4+UKt6FVT+Dcz8X9vGcEqPeW9XGvIG8adDus0u/7UyRZvB71hcIsvl4M9ctGGNqCDacrI/bTTu6AczQWeIzrGFdexW88BmoeAfmfkjLghi/DB6Zp+uYER37NH655jDeQJDvXKuVFo2qgpxPW74uo6zFrC89LxR2GeI9vkCQbSdauH6A+DSADAbgsZu06xKfDGk52pA5KU17+My+EaZeBvFnrtp0QlPjwa7dW4cbcPuCXDlnqMk2EfHEmhNCHw0urWDazUsGWSVZvNi2bjPhMNi52HaiBZfHz6UzzB2xxXToY0JOGhk6ihINSMAPB1+EHQ9DywnobgK/GxJStMafC24z5jg6eGlPDc/uqOKeiyYzKdJMgNPx9WhhnHgBGTZ2vBniQfPusaahv/wHX9RE+tr7YOndjvXCBmOwm/75nVXkZyazfKg6GOOXOWqlYbg8uKEMgMtnDXJNSy600JrIGewbtvZQPUkJcaY3l45poY6mYH7fsC4oYcMvYfOftSF0zhSYdJHWDSOjEKZdBfnTDbJYIxJPZdOxJr72j90sm5TDf1/xvh0RT6wBtFXCXy9HjI4DEqL2mPQMjePE8KGPF3dVk5mSwEXTT/3y935WuecZKF6iS6SdEfo487zvq2rnjUMN/Ndl04YuhRBB1+3e49gR+mjr9vLvPTUcqOngaEMnOypauX3Z+MFrfExytlAPdM3Km7p4fkcVK2cUkG6UwzgIMS3UhrTyOfhP2PhHbci8+OMw7UoD61kMQpj6uL28hc88toNJeek8eOfS6HI06w/C85/UFnykTQRvu/59RcXQN//+6nZe3lvLR8+dSPJgy+M7KuHqr8ecJ/0+2heg0+PnT28e45V9tVQ0d5OXkcwnVwwz/C9eYoF90dHW7eWa322kpt1NbnoSk/PTueeiyac4Gmcw/lzrDNSDlFS39fD6gTpcbj8ut4+X99YSHyf45irza97HtFAvHJ+te9s+b3LH32HmdXDr45bd+EN5slJKGl0e/vZuOas3HKd4dCoP37WMrLTEM94HYaTnNR3TRgx7n9EK5d/yKHLnj0HnYplwP8eg2/QtWjlz27p2N195Zjc56Ul85fJpZ/xd9M8YmXZlxMfWtnVCjDqI2xfgrr+/x/aKVlbOKGDV3CJuXjyOrNRhqiFGINR2pec9uLGMepeHp+85N/yVeravFh2aHp+fG/74Dk2dXgCSE+KYVpjBz26az+R88+vGxLRQD5iPGS69M+/JmXD97x3hnb11uIHv/HN/X8GlW5eO57vXzSIznFKm7g44vg6qd0JXk1aLuPmothAiIQXO/xKs+Ko28bbzx4A9oiX7itxo57+1y8vDm8p5cXc1Fc3dpCXF8+DHlpKdNsRy4dxpkGFezqrZSIL8fE0p2yta+f1ti7h+wcCTpgMyKoL32sQbBxs4d3LO8CLt7rDGIAPYVdlGU2ceT35qOcsm5VheqTOmhTpXb2WxtkpEywnt5xX/bXl35oEEcs3+Or701E5KctP53nWzWTYph7kDreAKcYon3XAInrgF2k9CfBKkF0BqNuRO1ZaGz74RRo15f1uD4rS6YtS96XlCsKeyjTsf2kqH28+F0/K4efE4rp0/ZnAPJfRwlVH0Oozmsxv1YOv2BHhiSyW3LBkfmUjrxOoYtbZM/MwR0Sl4u7VORzFCWaOLvIwkzpuSa8tK6JgT6qiG6wG/tmDlrZ8iC7IhJQVpQ8zv9M+w9mA9X3hyJ/PHZWlhjuGGv/33IYPw/Ke0DJU7X9TqIgxTvOb9FDkbQh99P0i+++J+MlMS+cdnzwsvHz7UnUUWL4r4uO8fP4q0RoM6Ue+qbMEbCHLDojBFur0qquNZHfoISpg93EK05+6CI2ssb6kVOZooN3d6WDx5tG3lKhxYaX9oepehRoS3Gw6/Cn9dqS1emb6qb0WeLcP/fsfscPu494W9zCzK5LFPLg9LpE+h6SjU74frfwtTLo2owphRwhMZ2he9w+1jX3U7d11QEv6iJX9IqAtmm2XckBj1XdlV3kJKYhxLJo4e/s3udvjP1w05rpXMGOqaVu3QRPqSe60zKEqEkFFlmUVLTAn1zpOt3PzApvA3qNgMD18HP5sAT92mxW4//DDc8qhWjtQB/GdvLU2dXn5041x9OeHNx7SlxDOvNd44Mwg5JHXtWhw+ovq9vlDTRIdPPA3H4QYX84uzB89q6c9r34Yjr5pvlMEMWW96wy8gJVtbNRpDjNPbNd0AYir08ds3jpKenDBwwcHWCtj9BDQf1zwvVx1Ub4dRxXDe57WE+kkX93mcdubT9vdkXztQR0luGosizGDpG4IF/Vrhmki2tfGz9x67yeUlOy0x/AU8DYfA3wOJiZGXOR3g+HowagTS2OFh0bQwPnd7tda1fvlnoeEV3cezOkadk540eCpp5TbNm175XW0iP4aYoIR6eA7VdrDhSCPfuGoGD5zs94eAH9b/CLb8WROt7Imat5w6Gi75Npz/xQHbX/XFaW0Z/r/Pvqp2Vs4siDj2JXvrdaTlQVFkS9rtjVFr2/gDgfAKyEupFcN64/tQXKT7uKcf3+pt+yMIDv+ACvi077UMalXkXtIv1FbHqIsGKrrUy/ofad/Z5eHXKnECAqmEOhwe3FhGWlI8H10+8VSh/veXYffjsPAOuPQ7tjYt1UNzl3fI7I5Bqdur/Z9TovvYdsaoAaYMl3/q7dIK/pe+DDOuhYRG6K4z2T5rmJw3xGfvbISnboXqHXD+f2kdd2KIQcMex97QyrNe9VNItrNnZQT0NrpAUjjUAwi0xg1SarXPDSYmYtSVLd38e08Ntywdf+rCj+bjWrjj3C/AjX+OSKT7upzYWXs+8QAADU5JREFUPJkIDF7SciACPtj2V8TOx7TfM8cM/f4BiDb00XfuouguAwxdFlJKePHzcPgVuOonWhedhNM6vejg/ep91lYNPBXJpPxBPGp3Ozz5YW0l6Ycfhit/FOWxIrc32nPU25GHYAA6aqF2Dxz8F7z81VDK6Cd17dcO3j8Hkvi4Yc7Hxvvg4WvA02m4HY73qINByf88v5ek+Dg+fdHkU/4mN/8ZEZ8IF/xXxPs1avivh9OFZvpg9Q9Op/4AvPJNqHgHWTgZ8IOI/Fkb7WePZvv+20zMHWL4/95qrfjSFT88Y9LJiPBFNKsqo6+RMsgwurtF6/xet197ME2/Kqrj9BKpvdF+P4qSeuDZT2iZVqFMHUBrW3fTg4M2S3Yi4VR7BLT+qW/9FObeNGCoNVocL9SPb61g0/FmfvLBeWf0RpR7nkTM+7DWEUIndgz/+98AeRlJZ6489HZp2RzNx7RRQ9NRaCzVwh1JGVo1v6wcePtrhtmhcwe6EUgm9veoe9qg6Qi0ndS8r8OvwPSrtaH/GYe1Z17BsOMKSOxd2dZ4WGsX1lYB+5+H7matnIFBIm0HV9XcD7UvaoutCmZqC7AyCrXGBg5uUDsU8UMl6Ljb4Zk7IWeyVtHRhFxrRwv1wZoOfvpKKRdNz+f2ZQPUsfV1x1yKz+n0eZVdzVrH5V2PaQLdn6zx2pfg8h9ohaPScqD8datNNYa+6nmScak+ePsXcOjfWqfpXiFML9Bu8kvudcTSfqMZnZqg3dyvfBP2Pq29mJCqTQrf+gSMc37hpaGYUfsvWPZpuOaXdptiGGlDFUTrrbx55z9NaxvmSKGWUrK5rJkvPrmL7LREfvGh+QNmB8jJK3X1LATnxKgn5qTCpj9qwyZvJ0xcAQtu12J5uVM1gR4gbziaFVJ9cbeoHWr9Meok4Sfpkauh8RBMOB8u+ZbmcWUUQOG8ISdkjIhR68Go70pxegD+drU2Srrwa1q51lHFpj2UrE7PiyNoWddwKaUlqwXTkwYJMXa3aE2FZ30AxprX1s4xQh0ISu59YS+17W5OtnRT0dzNxNw0HrlrGUWDzCLL8z+v+3h9N50No+j+QnOtby28/v+01ZKXfR8Kw1t1F1WHFwek550Tdxgaj8HtT8OMq6OyQ8/xdW1rUJjspsCr0HAA7ngepl1uyD6Hwur0PH9iJgljF+vaNlIk0uR1Adq+U5MG8ag3/lpzsC79tok2OEio4+MEe6vaSUmMZ3phJp+9eArXLxh76mq9jhoty6OXSZdYbqfRXFjxB20xzm1PmV8H+zTszCGfLGph3DJLRdopLOveALNvsESk7cBdfB4ZJqSo2UEwdI+kJZ52b0qplUje8mdY/DEomGWqHY46m2u+ctGpL0ipTS4dXgOH/wMnNmgLAEKFXGQUD1I7Qx/9SfJ1aOlnEYq0IaGPKLePJj1PgLYYSQfRXLNoUs96jxvt+ZMASz4R1T4iwer0PMYs0LedDqSUw3dKjmr/2v+T5En41xegs0Gb+G47CZ11MPVy7f41GecItZTw2Ae1ehzeTm2i0N2hLRsGrQbxiv+GhR+Bl28MbRPF4RySnhcomEv8mPlR7SPibW1Mz+vtvx1V8X+7PntftMyA78yki3Vtpicma3V6XsoYc73L/ph9//Z61Oe2/AtaUrQFZinZWgG0khUw/zZTFricTlhHEEKsAn4HxAN/lVL+zHBLhIC4eMgap9UASEzV/s+eCJMvGbBvoREXKaqbXudERn+74xfcovv40WLHQ8oXCL7/i87CWHZdd6POV1vOfIri9LVVMz8mGz0JhSNHqNOS4sEdGr1/ZR+kRNGsJAqGFWohRDzwJ+AKoArYJoR4SUp50HBrPvq84bt0PHNvttsCS8lK1gQqmBJGic8RStq0i4Z/UyyTO8VuCwwjrvdBkDvNNpEGEMN5FkKI84AfSCmvCv1+L4CU8qeDbbN06VK5ffv2iI259eVb8fg9w77vePtxACZlTSJO5yr43n0UpReRnhDZSqLebSdnTdbl3QRkgPKOcgCmZOn7Urt8Lhq6G3Tto9f+4oxiUuKHqV8wxPbRnLucpFGMTo2snVbvtmPTx5KaoM8b791HQVoBmYmRVW/r9ndT21UL6LtuvceekD6WxAjt1/Od690mMymTgtTwy8mWd5QTkAHiRTwlo0oitjGSc6Nnm/7b6Tkfeuwbm5xDahjORVZyFo9c/UjY+++PEGKHlHLpQH8LJ/RRDFT2+70KOKMXkhDiHuAegAkT9HVtmJQ1CW/AO+z7JJLarlqmZk/VdRyAsRlj2Vi9kXl5kVWeA01om3qamJKt33OoclUxNXsK40fp73CxtmItl4y/hMS4yJoN5KXmsbVuK7Nz9RXgL84sZkPVBl3nbuKoiayvXM+SMZG30ypIK2Bz7Wbm5OnLnQcYP2o8b1W+xYJ8fRNetV21rCheoetBkZaYxr6mfczQYb+e71xJVgnrTq7j3DGRdfienD2ZtRVrWTlhZUTb9fh7cAfcTM6ePPybQ3gCHlw+V0TbAAQJUt9VH9H5aPW0khKfEtGx+r5zReEtQhqV5PAFL1LK1cBq0DxqPfv42YXGh74VCoUi1gknblAN9F+/PS70mkKhUCgsIByh3gZME0JMEkIkAbcBL5lrlkKhUCh6GTb0IaX0CyG+CLyGlp73NynlAdMtUygUCgUQZoxaSvkKoL8XkEKhUCh0ExMdXhQKheJsRgm1QqFQOBwl1AqFQuFwlFArFAqFwxl2CbmunQrRCFTo3DwPaDLQHLNQdhpPrNiq7DSeWLHVTDsnSikHrKtgilBHgxBi+2Dr3Z2EstN4YsVWZafxxIqtdtmpQh8KhULhcJRQKxQKhcNxolCvttuAMFF2Gk+s2KrsNJ5YsdUWOx0Xo1YoFArFqTjRo1YoFApFP5RQKxQKhcNxjFALIVYJIQ4LIY4JIb5lsy3jhRBvCiEOCiEOCCG+HHr9B0KIaiHE7tC/a/ptc2/I9sNCiKsstrdcCLEvZNP20Gs5Qoi1Qoijof9Hh14XQojfh2zdK4RYbJGNM/qdt91CiA4hxFecck6FEH8TQjQIIfb3ey3icyiE+Hjo/UeFEB+3yM5fCiFKQ7b8UwiRHXq9RAjR0+/cPtBvmyWh78yx0GcxtGPuIHZGfK3N1oVB7Hymn43lQojdoddtO59IKW3/h1Y+9TgwGUgC9gCzbbRnDLA49HMmcASYDfwA+PoA758dsjkZmBT6LPEW2lsO5J322i+Ab4V+/hbw89DP1wCvAgI4F9hq0/WuAyY65ZwCFwGLgf16zyGQA5SF/h8d+nm0BXZeCSSEfv55PztL+r/vtP28F7JdhD7L1RbYGdG1tkIXBrLztL//Gvie3efTKR71MuCYlLJMSukFngZusMsYKWWtlHJn6GcXcAitd+Rg3AA8LaX0SClPAMfQPpOd3AD0dtl8BLix3+uPSo0tQLYQYozFtl0GHJdSDrV61dJzKqXcALQMYEMk5/AqYK2UskVK2QqsBVaZbaeU8nUppT/06xa0LkyDErJ1lJRyi9RU5lHe/2ym2TkEg11r03VhKDtDXvEtwFND7cOK8+kUoR6oge5QwmgZQogSYBGwNfTSF0NDzL/1DoWx334JvC6E2CG0JsMAhVLK2tDPdUBh6Ge7bQWtS1D/L78TzylEfg6dYPPdaB5dL5OEELuEEG8LIS4MvVYcsq0XK+2M5FrbfT4vBOqllEf7vWbL+XSKUDsSIUQG8DzwFSllB3A/MAVYCNSiDYucwAop5WLgauALQoiL+v8x9JR3RB6m0Nq5fQB4NvSSU8/pKTjpHA6GEOI7gB94IvRSLTBBSrkI+G/gSSGEOW2ywyMmrnU/budUh8K28+kUoXZcA10hRCKaSD8hpXwBQEpZL6UMSCmDwIO8PxS31X4pZXXo/wbgnyG76ntDGqH/G5xgK9rDZKeUsh6ce05DRHoObbNZCPEJ4DrgjtBDhVAooTn08w60eO/0kE39wyOW2KnjWtt5PhOAm4Bnel+z83w6Ragd1UA3FJt6CDgkpbyv3+v9Y7kfBHpnil8CbhNCJAshJgHT0CYXrLA1XQiR2fsz2sTS/pBNvVkHHwf+1c/Wj4UyF84F2vsN763gFC/Fiee0H5Gew9eAK4UQo0PD+itDr5mKEGIV8E3gA1LK7n6v5wsh4kM/T0Y7h2UhWzuEEOeGvusf6/fZzLQz0mttpy5cDpRKKftCGraeTyNnJqP5hzaTfgTtKfUdm21ZgTbM3QvsDv27BngM2Bd6/SVgTL9tvvP/27djE4SBKA7jn7WFoBs4Q9awcgKxcSAFSwfRFUQRCzHWVk5gY3EXCKKIYvQV3w/SHEd4vBz/wB2Xaz/w5RPfF7X2SafhW2Bf9Q7oASvgCCyBbh5vAbNc6w4oflhrG7gAndpYiJ6Sfh5n4EraYxx/0kPSHnGZn9GP6ixJe7nVWp3nucO8JjbAGhjU3lOQgvIETMm3lBuu8+1v3XQuPKozjy+Ayd3cv/XTK+SSFFyUrQ9J0hMGtSQFZ1BLUnAGtSQFZ1BLUnAGtSQFZ1BLUnA3JmrzyFvhSN8AAAAASUVORK5CYII=\n",
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      "text/plain": [
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       "<Figure size 432x288 with 1 Axes>"
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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 0x7f6597278080>]"
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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",
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      "text/plain": [
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       "<Figure size 432x288 with 1 Axes>"
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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 0x7f6596ec0358>]"
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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": [
606
       "<Figure size 432x288 with 1 Axes>"
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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",
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    "plt.plot(spo2_resets[6000:7800]/10000+0.9)\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 0x7f6597013e10>]"
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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
       "<Figure size 432x288 with 1 Axes>"
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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 0x7f6596dc5fd0>]"
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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
       "<Figure size 432x288 with 1 Axes>"
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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])"
   ]
  },
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  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6596da79b0>]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ratioRMS[pulses > 0])"
   ]
  },
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  {
   "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",
753
    "The commercial meter showed values between 88% and 99%. This implementation shows 97.5% to 98.5%."
754
   ]
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  }
 ],
 "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": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}