analysis.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv('output.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f77e50cdf28>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot(x = data['time'], y = data['ping'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f77e50a0d30>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (15,15))\n",
    "sns.lineplot(x = data.index, y = data['time'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>time</th>\n",
       "      <th>ping</th>\n",
       "      <th>upload</th>\n",
       "      <th>download</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>6.430000e+02</td>\n",
       "      <td>643.000000</td>\n",
       "      <td>643.000000</td>\n",
       "      <td>643.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>1.562850e+09</td>\n",
       "      <td>18.338030</td>\n",
       "      <td>7.748846</td>\n",
       "      <td>23.933093</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>1.114578e+04</td>\n",
       "      <td>0.312102</td>\n",
       "      <td>0.119837</td>\n",
       "      <td>0.831906</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.562831e+09</td>\n",
       "      <td>17.808000</td>\n",
       "      <td>7.267779</td>\n",
       "      <td>10.667521</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1.562840e+09</td>\n",
       "      <td>18.156000</td>\n",
       "      <td>7.669739</td>\n",
       "      <td>23.676108</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>1.562850e+09</td>\n",
       "      <td>18.280000</td>\n",
       "      <td>7.713661</td>\n",
       "      <td>24.010008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>1.562860e+09</td>\n",
       "      <td>18.464000</td>\n",
       "      <td>7.808707</td>\n",
       "      <td>24.309308</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.562869e+09</td>\n",
       "      <td>22.668000</td>\n",
       "      <td>8.146835</td>\n",
       "      <td>25.125191</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               time        ping      upload    download\n",
       "count  6.430000e+02  643.000000  643.000000  643.000000\n",
       "mean   1.562850e+09   18.338030    7.748846   23.933093\n",
       "std    1.114578e+04    0.312102    0.119837    0.831906\n",
       "min    1.562831e+09   17.808000    7.267779   10.667521\n",
       "25%    1.562840e+09   18.156000    7.669739   23.676108\n",
       "50%    1.562850e+09   18.280000    7.713661   24.010008\n",
       "75%    1.562860e+09   18.464000    7.808707   24.309308\n",
       "max    1.562869e+09   22.668000    8.146835   25.125191"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "__main__:1: DeprecationWarning: object of type <class 'float'> cannot be safely interpreted as an integer.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([1.56283100e+09, 1.56283106e+09, 1.56283112e+09, 1.56283118e+09,\n",
       "       1.56283124e+09, 1.56283130e+09, 1.56283136e+09, 1.56283141e+09,\n",
       "       1.56283147e+09, 1.56283153e+09, 1.56283159e+09, 1.56283165e+09,\n",
       "       1.56283171e+09, 1.56283177e+09, 1.56283183e+09, 1.56283189e+09,\n",
       "       1.56283195e+09, 1.56283201e+09, 1.56283207e+09, 1.56283212e+09,\n",
       "       1.56283218e+09, 1.56283224e+09, 1.56283230e+09, 1.56283236e+09,\n",
       "       1.56283242e+09, 1.56283248e+09, 1.56283254e+09, 1.56283260e+09,\n",
       "       1.56283266e+09, 1.56283272e+09, 1.56283278e+09, 1.56283283e+09,\n",
       "       1.56283289e+09, 1.56283295e+09, 1.56283301e+09, 1.56283307e+09,\n",
       "       1.56283313e+09, 1.56283319e+09, 1.56283325e+09, 1.56283331e+09,\n",
       "       1.56283337e+09, 1.56283343e+09, 1.56283349e+09, 1.56283355e+09,\n",
       "       1.56283360e+09, 1.56283366e+09, 1.56283372e+09, 1.56283378e+09,\n",
       "       1.56283384e+09, 1.56283390e+09, 1.56283396e+09, 1.56283402e+09,\n",
       "       1.56283408e+09, 1.56283414e+09, 1.56283420e+09, 1.56283426e+09,\n",
       "       1.56283431e+09, 1.56283437e+09, 1.56283443e+09, 1.56283449e+09,\n",
       "       1.56283455e+09, 1.56283461e+09, 1.56283467e+09, 1.56283473e+09,\n",
       "       1.56283479e+09, 1.56283485e+09, 1.56283491e+09, 1.56283497e+09,\n",
       "       1.56283502e+09, 1.56283508e+09, 1.56283514e+09, 1.56283520e+09,\n",
       "       1.56283526e+09, 1.56283532e+09, 1.56283538e+09, 1.56283544e+09,\n",
       "       1.56283550e+09, 1.56283556e+09, 1.56283562e+09, 1.56283568e+09,\n",
       "       1.56283574e+09, 1.56283579e+09, 1.56283585e+09, 1.56283591e+09,\n",
       "       1.56283597e+09, 1.56283603e+09, 1.56283609e+09, 1.56283615e+09,\n",
       "       1.56283621e+09, 1.56283627e+09, 1.56283633e+09, 1.56283639e+09,\n",
       "       1.56283645e+09, 1.56283650e+09, 1.56283656e+09, 1.56283662e+09,\n",
       "       1.56283668e+09, 1.56283674e+09, 1.56283680e+09, 1.56283686e+09,\n",
       "       1.56283692e+09, 1.56283698e+09, 1.56283704e+09, 1.56283710e+09,\n",
       "       1.56283716e+09, 1.56283721e+09, 1.56283727e+09, 1.56283733e+09,\n",
       "       1.56283739e+09, 1.56283745e+09, 1.56283751e+09, 1.56283757e+09,\n",
       "       1.56283763e+09, 1.56283769e+09, 1.56283775e+09, 1.56283781e+09,\n",
       "       1.56283787e+09, 1.56283793e+09, 1.56283798e+09, 1.56283804e+09,\n",
       "       1.56283810e+09, 1.56283816e+09, 1.56283822e+09, 1.56283828e+09,\n",
       "       1.56283834e+09, 1.56283840e+09, 1.56283846e+09, 1.56283852e+09,\n",
       "       1.56283858e+09, 1.56283864e+09, 1.56283869e+09, 1.56283875e+09,\n",
       "       1.56283881e+09, 1.56283887e+09, 1.56283893e+09, 1.56283899e+09,\n",
       "       1.56283905e+09, 1.56283911e+09, 1.56283917e+09, 1.56283923e+09,\n",
       "       1.56283929e+09, 1.56283935e+09, 1.56283940e+09, 1.56283946e+09,\n",
       "       1.56283952e+09, 1.56283958e+09, 1.56283964e+09, 1.56283970e+09,\n",
       "       1.56283976e+09, 1.56283982e+09, 1.56283988e+09, 1.56283994e+09,\n",
       "       1.56284000e+09, 1.56284006e+09, 1.56284012e+09, 1.56284017e+09,\n",
       "       1.56284023e+09, 1.56284029e+09, 1.56284035e+09, 1.56284041e+09,\n",
       "       1.56284047e+09, 1.56284053e+09, 1.56284059e+09, 1.56284065e+09,\n",
       "       1.56284071e+09, 1.56284077e+09, 1.56284083e+09, 1.56284088e+09,\n",
       "       1.56284094e+09, 1.56284100e+09, 1.56284106e+09, 1.56284112e+09,\n",
       "       1.56284118e+09, 1.56284124e+09, 1.56284130e+09, 1.56284136e+09,\n",
       "       1.56284142e+09, 1.56284148e+09, 1.56284154e+09, 1.56284160e+09,\n",
       "       1.56284165e+09, 1.56284171e+09, 1.56284177e+09, 1.56284183e+09,\n",
       "       1.56284189e+09, 1.56284195e+09, 1.56284201e+09, 1.56284207e+09,\n",
       "       1.56284213e+09, 1.56284219e+09, 1.56284225e+09, 1.56284231e+09,\n",
       "       1.56284236e+09, 1.56284242e+09, 1.56284248e+09, 1.56284254e+09,\n",
       "       1.56284260e+09, 1.56284266e+09, 1.56284272e+09, 1.56284278e+09,\n",
       "       1.56284284e+09, 1.56284290e+09, 1.56284296e+09, 1.56284302e+09,\n",
       "       1.56284307e+09, 1.56284313e+09, 1.56284319e+09, 1.56284325e+09,\n",
       "       1.56284331e+09, 1.56284337e+09, 1.56284343e+09, 1.56284349e+09,\n",
       "       1.56284355e+09, 1.56284361e+09, 1.56284367e+09, 1.56284373e+09,\n",
       "       1.56284379e+09, 1.56284384e+09, 1.56284390e+09, 1.56284396e+09,\n",
       "       1.56284402e+09, 1.56284408e+09, 1.56284414e+09, 1.56284420e+09,\n",
       "       1.56284426e+09, 1.56284432e+09, 1.56284438e+09, 1.56284444e+09,\n",
       "       1.56284450e+09, 1.56284455e+09, 1.56284461e+09, 1.56284467e+09,\n",
       "       1.56284473e+09, 1.56284479e+09, 1.56284485e+09, 1.56284491e+09,\n",
       "       1.56284497e+09, 1.56284503e+09, 1.56284509e+09, 1.56284515e+09,\n",
       "       1.56284521e+09, 1.56284526e+09, 1.56284532e+09, 1.56284538e+09,\n",
       "       1.56284544e+09, 1.56284550e+09, 1.56284556e+09, 1.56284562e+09,\n",
       "       1.56284568e+09, 1.56284574e+09, 1.56284580e+09, 1.56284586e+09,\n",
       "       1.56284592e+09, 1.56284598e+09, 1.56284603e+09, 1.56284609e+09,\n",
       "       1.56284615e+09, 1.56284621e+09, 1.56284627e+09, 1.56284633e+09,\n",
       "       1.56284639e+09, 1.56284645e+09, 1.56284651e+09, 1.56284657e+09,\n",
       "       1.56284663e+09, 1.56284669e+09, 1.56284674e+09, 1.56284680e+09,\n",
       "       1.56284686e+09, 1.56284692e+09, 1.56284698e+09, 1.56284704e+09,\n",
       "       1.56284710e+09, 1.56284716e+09, 1.56284722e+09, 1.56284728e+09,\n",
       "       1.56284734e+09, 1.56284740e+09, 1.56284745e+09, 1.56284751e+09,\n",
       "       1.56284757e+09, 1.56284763e+09, 1.56284769e+09, 1.56284775e+09,\n",
       "       1.56284781e+09, 1.56284787e+09, 1.56284793e+09, 1.56284799e+09,\n",
       "       1.56284805e+09, 1.56284811e+09, 1.56284817e+09, 1.56284822e+09,\n",
       "       1.56284828e+09, 1.56284834e+09, 1.56284840e+09, 1.56284846e+09,\n",
       "       1.56284852e+09, 1.56284858e+09, 1.56284864e+09, 1.56284870e+09,\n",
       "       1.56284876e+09, 1.56284882e+09, 1.56284888e+09, 1.56284893e+09,\n",
       "       1.56284899e+09, 1.56284905e+09, 1.56284911e+09, 1.56284917e+09,\n",
       "       1.56284923e+09, 1.56284929e+09, 1.56284935e+09, 1.56284941e+09,\n",
       "       1.56284947e+09, 1.56284953e+09, 1.56284959e+09, 1.56284964e+09,\n",
       "       1.56284970e+09, 1.56284976e+09, 1.56284982e+09, 1.56284988e+09,\n",
       "       1.56284994e+09, 1.56285000e+09, 1.56285006e+09, 1.56285012e+09,\n",
       "       1.56285018e+09, 1.56285024e+09, 1.56285030e+09, 1.56285036e+09,\n",
       "       1.56285041e+09, 1.56285047e+09, 1.56285053e+09, 1.56285059e+09,\n",
       "       1.56285065e+09, 1.56285071e+09, 1.56285077e+09, 1.56285083e+09,\n",
       "       1.56285089e+09, 1.56285095e+09, 1.56285101e+09, 1.56285107e+09,\n",
       "       1.56285112e+09, 1.56285118e+09, 1.56285124e+09, 1.56285130e+09,\n",
       "       1.56285136e+09, 1.56285142e+09, 1.56285148e+09, 1.56285154e+09,\n",
       "       1.56285160e+09, 1.56285166e+09, 1.56285172e+09, 1.56285178e+09,\n",
       "       1.56285183e+09, 1.56285189e+09, 1.56285195e+09, 1.56285201e+09,\n",
       "       1.56285207e+09, 1.56285213e+09, 1.56285219e+09, 1.56285225e+09,\n",
       "       1.56285231e+09, 1.56285237e+09, 1.56285243e+09, 1.56285249e+09,\n",
       "       1.56285255e+09, 1.56285260e+09, 1.56285266e+09, 1.56285272e+09,\n",
       "       1.56285278e+09, 1.56285284e+09, 1.56285290e+09, 1.56285296e+09,\n",
       "       1.56285302e+09, 1.56285308e+09, 1.56285314e+09, 1.56285320e+09,\n",
       "       1.56285326e+09, 1.56285331e+09, 1.56285337e+09, 1.56285343e+09,\n",
       "       1.56285349e+09, 1.56285355e+09, 1.56285361e+09, 1.56285367e+09,\n",
       "       1.56285373e+09, 1.56285379e+09, 1.56285385e+09, 1.56285391e+09,\n",
       "       1.56285397e+09, 1.56285402e+09, 1.56285408e+09, 1.56285414e+09,\n",
       "       1.56285420e+09, 1.56285426e+09, 1.56285432e+09, 1.56285438e+09,\n",
       "       1.56285444e+09, 1.56285450e+09, 1.56285456e+09, 1.56285462e+09,\n",
       "       1.56285468e+09, 1.56285474e+09, 1.56285479e+09, 1.56285485e+09,\n",
       "       1.56285491e+09, 1.56285497e+09, 1.56285503e+09, 1.56285509e+09,\n",
       "       1.56285515e+09, 1.56285521e+09, 1.56285527e+09, 1.56285533e+09,\n",
       "       1.56285539e+09, 1.56285545e+09, 1.56285550e+09, 1.56285556e+09,\n",
       "       1.56285562e+09, 1.56285568e+09, 1.56285574e+09, 1.56285580e+09,\n",
       "       1.56285586e+09, 1.56285592e+09, 1.56285598e+09, 1.56285604e+09,\n",
       "       1.56285610e+09, 1.56285616e+09, 1.56285621e+09, 1.56285627e+09,\n",
       "       1.56285633e+09, 1.56285639e+09, 1.56285645e+09, 1.56285651e+09,\n",
       "       1.56285657e+09, 1.56285663e+09, 1.56285669e+09, 1.56285675e+09,\n",
       "       1.56285681e+09, 1.56285687e+09, 1.56285693e+09, 1.56285698e+09,\n",
       "       1.56285704e+09, 1.56285710e+09, 1.56285716e+09, 1.56285722e+09,\n",
       "       1.56285728e+09, 1.56285734e+09, 1.56285740e+09, 1.56285746e+09,\n",
       "       1.56285752e+09, 1.56285758e+09, 1.56285764e+09, 1.56285769e+09,\n",
       "       1.56285775e+09, 1.56285781e+09, 1.56285787e+09, 1.56285793e+09,\n",
       "       1.56285799e+09, 1.56285805e+09, 1.56285811e+09, 1.56285817e+09,\n",
       "       1.56285823e+09, 1.56285829e+09, 1.56285835e+09, 1.56285840e+09,\n",
       "       1.56285846e+09, 1.56285852e+09, 1.56285858e+09, 1.56285864e+09,\n",
       "       1.56285870e+09, 1.56285876e+09, 1.56285882e+09, 1.56285888e+09,\n",
       "       1.56285894e+09, 1.56285900e+09, 1.56285906e+09, 1.56285912e+09,\n",
       "       1.56285917e+09, 1.56285923e+09, 1.56285929e+09, 1.56285935e+09,\n",
       "       1.56285941e+09, 1.56285947e+09, 1.56285953e+09, 1.56285959e+09,\n",
       "       1.56285965e+09, 1.56285971e+09, 1.56285977e+09, 1.56285983e+09,\n",
       "       1.56285988e+09, 1.56285994e+09, 1.56286000e+09, 1.56286006e+09,\n",
       "       1.56286012e+09, 1.56286018e+09, 1.56286024e+09, 1.56286030e+09,\n",
       "       1.56286036e+09, 1.56286042e+09, 1.56286048e+09, 1.56286054e+09,\n",
       "       1.56286060e+09, 1.56286065e+09, 1.56286071e+09, 1.56286077e+09,\n",
       "       1.56286083e+09, 1.56286089e+09, 1.56286095e+09, 1.56286101e+09,\n",
       "       1.56286107e+09, 1.56286113e+09, 1.56286119e+09, 1.56286125e+09,\n",
       "       1.56286131e+09, 1.56286136e+09, 1.56286142e+09, 1.56286148e+09,\n",
       "       1.56286154e+09, 1.56286160e+09, 1.56286166e+09, 1.56286172e+09,\n",
       "       1.56286178e+09, 1.56286184e+09, 1.56286190e+09, 1.56286196e+09,\n",
       "       1.56286202e+09, 1.56286207e+09, 1.56286213e+09, 1.56286219e+09,\n",
       "       1.56286225e+09, 1.56286231e+09, 1.56286237e+09, 1.56286243e+09,\n",
       "       1.56286249e+09, 1.56286255e+09, 1.56286261e+09, 1.56286267e+09,\n",
       "       1.56286273e+09, 1.56286279e+09, 1.56286284e+09, 1.56286290e+09,\n",
       "       1.56286296e+09, 1.56286302e+09, 1.56286308e+09, 1.56286314e+09,\n",
       "       1.56286320e+09, 1.56286326e+09, 1.56286332e+09, 1.56286338e+09,\n",
       "       1.56286344e+09, 1.56286350e+09, 1.56286355e+09, 1.56286361e+09,\n",
       "       1.56286367e+09, 1.56286373e+09, 1.56286379e+09, 1.56286385e+09,\n",
       "       1.56286391e+09, 1.56286397e+09, 1.56286403e+09, 1.56286409e+09,\n",
       "       1.56286415e+09, 1.56286421e+09, 1.56286426e+09, 1.56286432e+09,\n",
       "       1.56286438e+09, 1.56286444e+09, 1.56286450e+09, 1.56286456e+09,\n",
       "       1.56286462e+09, 1.56286468e+09, 1.56286474e+09, 1.56286480e+09,\n",
       "       1.56286486e+09, 1.56286492e+09, 1.56286498e+09, 1.56286503e+09,\n",
       "       1.56286509e+09, 1.56286515e+09, 1.56286521e+09, 1.56286527e+09,\n",
       "       1.56286533e+09, 1.56286539e+09, 1.56286545e+09, 1.56286551e+09,\n",
       "       1.56286557e+09, 1.56286563e+09, 1.56286569e+09, 1.56286574e+09,\n",
       "       1.56286580e+09, 1.56286586e+09, 1.56286592e+09, 1.56286598e+09,\n",
       "       1.56286604e+09, 1.56286610e+09, 1.56286616e+09, 1.56286622e+09,\n",
       "       1.56286628e+09, 1.56286634e+09, 1.56286640e+09, 1.56286645e+09,\n",
       "       1.56286651e+09, 1.56286657e+09, 1.56286663e+09, 1.56286669e+09,\n",
       "       1.56286675e+09, 1.56286681e+09, 1.56286687e+09, 1.56286693e+09,\n",
       "       1.56286699e+09, 1.56286705e+09, 1.56286711e+09, 1.56286717e+09,\n",
       "       1.56286722e+09, 1.56286728e+09, 1.56286734e+09, 1.56286740e+09,\n",
       "       1.56286746e+09, 1.56286752e+09, 1.56286758e+09, 1.56286764e+09,\n",
       "       1.56286770e+09, 1.56286776e+09, 1.56286782e+09, 1.56286788e+09,\n",
       "       1.56286793e+09, 1.56286799e+09, 1.56286805e+09, 1.56286811e+09,\n",
       "       1.56286817e+09, 1.56286823e+09, 1.56286829e+09, 1.56286835e+09,\n",
       "       1.56286841e+09, 1.56286847e+09, 1.56286853e+09, 1.56286859e+09,\n",
       "       1.56286864e+09, 1.56286870e+09, 1.56286876e+09, 1.56286882e+09,\n",
       "       1.56286888e+09, 1.56286894e+09, 1.56286900e+09])"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linspace(1.562831e+09,1.562869e+09,6.430000e+02)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (Spyder)",
   "language": "python3",
   "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",
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}