





__lowercase				    =      {
    0: """underwear""",
    1: """pants""",
    2: """belt""",
    3: """suit""",
    4: """shoe""",
    5: """socks""",
    6: """shirt""",
    7: """tie""",
    8: """watch""",
}

__lowercase				    =      [[1, 4], [2, 4], [3], [], [], [4], [2, 7], [3], []]

__lowercase				    =      [0 for x in range(len(graph))]
__lowercase				    =      []


def        __SCREAMING_SNAKE_CASE	(				__lowercase:		Any  ,				__lowercase:		Dict):



  '''simple docstring'''






  __lowerCAmelCase								=					1
  while stack:
    __lowerCAmelCase								=					stack.pop()
    print(__lowerCAmelCase  ,				clothes[current_clothing])
    order += 1


def        __SCREAMING_SNAKE_CASE	(				__lowercase:		Optional[int]  ,				__lowercase:		Union[str, Any]  ,				__lowercase:		Union[str, Any]):



  '''simple docstring'''






  __lowerCAmelCase								=					1
  for v in graph[u]:
    if not visited[v]:
      depth_first_search(__lowerCAmelCase  ,				__lowerCAmelCase  ,				__lowerCAmelCase)

  stack.append(__lowerCAmelCase)


def        __SCREAMING_SNAKE_CASE	(				__lowercase:		Optional[Any]  ,				__lowercase:		Tuple):



  '''simple docstring'''






  for v in range(len(__lowerCAmelCase)):
    if not visited[v]:
      depth_first_search(__lowerCAmelCase  ,				__lowerCAmelCase  ,				__lowerCAmelCase)


if __name__ == "__main__":
      topological_sort(graph, visited)
      print(stack)
      print_stack(stack, clothes)






"""simple docstring"""
import math






def 				__lowerCAmelCase					(					__lowerCAmelCase			:		Tuple						)    ->       Any:
 _UpperCamelCase      :	str					      =  0
 if n % 2 == 0:
  count += 1
  while n % 2 == 0:
   _UpperCamelCase      :	List[Any]					      =  int(n / 2						)
    # the n input value must be odd so that
    # we can skip one element (ie i += 2)

 _UpperCamelCase      :	Tuple					      =  3

 while i <= int(math.sqrt(__lowerCAmelCase						)						):
  if n % i == 0:
   count += 1
   while n % i == 0:
    _UpperCamelCase      :	Any					      =  int(n / i						)
  _UpperCamelCase      :	Optional[Any]					      =  i + 2

 # this condition checks the prime
 # number n is greater than 2

 if n > 2:
  count += 1
 return count


if __name__ == "__main__":
    _SCREAMING_SNAKE_CASE						 =     5_1_2_4_2_1_8_3
    print(f'The number of distinct prime factors is/are {exact_prime_factor_count(n)}')
    print(f'The value of log(log(n)) is {math.log(math.log(n)):.4f}')



