1 epsilon-greedy.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 1\n",
    "\n",
    "We want to implement the epsioln greedy algorithm. The purpose of the algorithm is to balance exploration wiht exploitation.\n",
    "\n",
    "Epsilon greedy will pick the best option except for epssilon times every 100 trials.\n",
    "\n",
    "In this taks we want to explore a matrix where a row represent all the posible rewards that we can receive based on the state we are at the moment.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-30T14:32:52.195395Z",
     "start_time": "2019-04-30T14:32:52.070212Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 0 while the best was: 1\n",
      "The epsioln-greedy action was: 1 while the best was: 0\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "epsilon = 0.5\n",
    "\n",
    "\n",
    "def epsilon_greedy(s, q, epsilon=0.2):\n",
    "#     Complete here\n",
    "    return a\n",
    "\n",
    "# Matrix that we want to explore using epsilon greedy\n",
    "q = np.array([[0, 1, 3, 4],\n",
    "              [0, 7, 5, 5],\n",
    "              [4, 1, 1, 4]])\n",
    "\n",
    "# Each states correspond to a row in the q-matrix\n",
    "states = range(q.shape[0])\n",
    "\n",
    "for state in states:\n",
    "    e_greedy_action = (epsilon_greedy(state, q))\n",
    "    print(\n",
    "        f'The epsioln-greedy action was: {e_greedy_action} while the best was: {np.argmax(q[state, :])}'\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 2\n",
    "\n",
    "In a Reinforcement learning algoritm we want to decrease epsiol as we are gaining more knowledg of the algorithm. We want to implement a simple method to accomplish that.\n",
    "\n",
    "After compliting the task please try different values for epsilon and epsilon_decay."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-30T14:32:52.384507Z",
     "start_time": "2019-04-30T14:32:52.316227Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 2 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 2 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 2 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 0 while the best was: 1\n",
      "The epsioln-greedy action was: 2 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 1 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 1 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 2 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 3 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 3 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 2 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 1 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n",
      "The epsioln-greedy action was: 3 while the best was: 3\n",
      "The epsioln-greedy action was: 1 while the best was: 1\n",
      "The epsioln-greedy action was: 0 while the best was: 0\n"
     ]
    }
   ],
   "source": [
    "epsilon = 0.5\n",
    "epsilon_decay = 0.9\n",
    "error_history = []\n",
    "epsilon_history = []\n",
    "\n",
    "for i in range(100):\n",
    "# Complete here\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-30T14:32:53.082621Z",
     "start_time": "2019-04-30T14:32:52.460167Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11c286e80>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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P8dbJx7kK+KenDvPmG8/RHTcS8RiJmPHBuaXE33ydR/7t1ex98ZhlL+f9M+8y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\n/wGzobx1W+Np+wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c2865c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "error = pd.DataFrame({'Error': error_history, 'Epsilon': epsilon_history})\n",
    "error.plot()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-30T14:32:53.090287Z",
     "start_time": "2019-04-30T14:32:53.084310Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}