


"""simple docstring"""







def 					a__			(				SCREAMING_SNAKE_CASE    :    list[list[int]]				,      SCREAMING_SNAKE_CASE    :    int				,      SCREAMING_SNAKE_CASE    :    int				,      SCREAMING_SNAKE_CASE    :    list[int]				):


  '''simple docstring'''







  if graph[path[curr_ind - 1]][next_ver] == 0:
    return False

  # 2. Validate that next vertex is not already in path
  return not any(vertex == next_ver for vertex in path				)
def 					a__			(				SCREAMING_SNAKE_CASE    :    list[list[int]]				,      SCREAMING_SNAKE_CASE    :    list[int]				,      SCREAMING_SNAKE_CASE    :    int				):


  '''simple docstring'''







  if curr_ind == len(SCREAMING_SNAKE_CASE				):
    # return whether path exists between current and starting vertices
    return graph[path[curr_ind - 1]][path[0]] == 1

  # Recursive Step
  for next_ver in range(0				,      len(SCREAMING_SNAKE_CASE				)				):
    if valid_connection(SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				):
      # Insert current vertex  into path as next transition
      lowerCAmelCase     :     int								=							next_ver
      # Validate created path
      if util_hamilton_cycle(SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				,      curr_ind + 1				):
        return True
      # Backtrack
      lowerCAmelCase     :     List[Any]								=							-1
  return False





def 					a__			(				SCREAMING_SNAKE_CASE    :    list[list[int]]				,      SCREAMING_SNAKE_CASE    :    int = 0				):


  '''simple docstring'''







  lowerCAmelCase     :     Optional[Any]								=							[-1] * (len(SCREAMING_SNAKE_CASE				) + 1)
  # initialize start and end of path with starting index
  lowerCAmelCase     :     Union[str, Any]								=							start_index
  # evaluate and if we find answer return path either return empty array
  return path if util_hamilton_cycle(SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				,      1				) else []









"""simple docstring"""







def 					a__			(				SCREAMING_SNAKE_CASE    :    int				,      SCREAMING_SNAKE_CASE    :    List[Any]				,      SCREAMING_SNAKE_CASE    :    str				,      SCREAMING_SNAKE_CASE    :    List[Any]				):


  '''simple docstring'''







  if height >= 1:
    move_tower(height - 1				,      SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				)
    move_disk(SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				)
    move_tower(height - 1				,      SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				,      SCREAMING_SNAKE_CASE				)
def 					a__			(				SCREAMING_SNAKE_CASE    :    Tuple				,      SCREAMING_SNAKE_CASE    :    Optional[int]				):


  '''simple docstring'''







  print("moving disk from"				,      SCREAMING_SNAKE_CASE				,      "to"				,      SCREAMING_SNAKE_CASE				)
def 					a__			(				):


  '''simple docstring'''







  lowerCAmelCase     :     Optional[int]								=							int(input("Height of hanoi: "				).strip()				)
  move_tower(SCREAMING_SNAKE_CASE				,      "A"				,      "B"				,      "C"				)


if __name__ == "__main__":
     main()





