




"""simple docstring"""
from .stack import Stack






def 				__lowerCAmelCase					(					__lowerCAmelCase			:		str						)    ->       bool:
 _UpperCamelCase      :	Stack[str]					      =  Stack()
 _UpperCamelCase      :	Union[str, Any]					      =  {"(": ")", "[": "]", "{": "}"}
 for bracket in parentheses:
  if bracket in bracket_pairs:
   stack.push(__lowerCAmelCase						)
  elif bracket in (")", "]", "}"):
   if stack.is_empty() or bracket_pairs[stack.pop()] != bracket:
    return False
 return stack.is_empty()


if __name__ == "__main__":
    from doctest import testmod

    testmod()

    _SCREAMING_SNAKE_CASE						 =     ["""((()))""", """((())""", """(()))"""]
    print("""Balanced parentheses demonstration:\n""")
    for example in examples:
        _SCREAMING_SNAKE_CASE						 =     """""" if balanced_parentheses(example) else """not """
        print(f'{example} is {not_str}balanced')









"""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}')



