input: from typing import Any
  
  def compare_heuristics_algorithms() -> str:
      """Compares the performance of two different heuristics algorithms by running them
      on given input data and measuring their execution time. The algorithm with the 
      faster execution time is considered the better performing one.
  
      >>> compare_heuristics_algorithms()
      'Algorithm 1 is faster than algorithm 2'
      """
      import time
      import heuristics_algorithm1
      import heuristics_algorithm2
  
      # Input data for algorithms
      data1 = ...
      data2 = ...
  
      # Evaluate and compare the performance of two different heuristics algorithms
      start = time.time()
      result1 = heuristics_algorithm1.run(data1)
      end = time.time()
      time1 = end - start
  
      start = time.time()
      result2 = heuristics_algorithm2.run(data2)
      end = time.time()
      time2 = end - start
  
      if time1 < time2:
          return "Algorithm 1 is faster than algorithm 2"
      elif time2 < time1:
          return "Algorithm 2 is faster than algorithm 1"
      else:
          return "Both algorithms have the same performance time"
output:     data1 = [1, 2, 3, 4, 5]
      data2 = [5, 4, 3, 2, 1]