input: from typing import List
  
  
  def compare_heuristics_time(algorithms: List[str], data: List) -> str:
      """ Compare the performance of two different heuristics algorithms by measuring the time taken to run each algorithm on given input data.
      >>> compare_heuristics_time(["heuristics_algorithm1", "heuristics_algorithm2"], ["data1", "data2"])
      'Algorithm 1 is faster than algorithm 2'
      >>> compare_heuristics_time(["heuristics_algorithm1", "heuristics_algorithm2"], ["data3", "data3"])
      'Both algorithms have the same performance time'
      """
output:     import time
  
      times = []
      for algo in algorithms:
          start_time = time.time()
          for d in data:
              algo(d)
          end_time = time.time()
          times.append(end_time - start_time)
  
      if times[0] < times[1]:
          return 'Algorithm 1 is faster than algorithm 2'
      elif times[0] > times[1]:
          return 'Algorithm 2 is faster than algorithm 1'
      else:
          return 'Both algorithms have the same performance time'