text: '''
  Pravesh Gaire
  7/10/2019
  
  Converts the point form output to useable direction format
  '''
  def movingAxis(tracedPath):
      prev = tracedPath[0]
      direction = []
      for ele in tracedPath:
          res = [ele[0] - prev[0], ele[1] - prev[1]]
          prev = ele
          if res == [1, 0]:
              direction.append('PX')
          if res == [-1, 0]:
              direction.append('NX')
          if res == [0, 1]:
              direction.append('PY')
          if res == [0, -1]:
              direction.append('NY')
      return direction
  
  def directions(tracedPath):
      inputs = movingAxis(tracedPath)
      prev = 'PX'
      results = []
      for ele in inputs:
          results.append(cases[prev + ' ' + ele])
          prev = ele
      return results
  
  cases = {
      'PX PX':'f',
      'PX NX':'t',
      'PX PY':'a',
      'PX NY':'c',
  
      'NX NX':'f',
      'NX PX':'t',
      'NX PY':'c',
      'NX NY':'a',
  
      'PY PY':'f',
      'PY NX':'a',
      'PY NY':'t',
      'PY PX':'c',
  
      'NY NY':'f',
      'NY NX':'c',
      'NY PY':'t',
      'NY PX':'a',
  }
  