


'''simple docstring'''







from .stack import Stack






def    lowerCAmelCase__ (       lowerCamelCase  :    str     ):
       _A  :			Stack[str]											=      Stack()
       _A  :			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()

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










'''simple docstring'''







import math






def    lowerCAmelCase__ (       lowerCamelCase  :    int     ):

       if 1 < number < 4:
              # 2 and 3 are primes
              return True
       elif number < 2 or number % 2 == 0 or number % 3 == 0:
              # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
              return False

       # All primes number are in format of 6k +/- 1
       for i in range(5						,int(math.sqrt(lowerCamelCase     ) + 1     )						,6     ):
              if number % i == 0 or number % (i + 2) == 0:
                     return False
       return True






def    lowerCAmelCase__ (       lowerCamelCase  :    int = 1000						,lowerCamelCase  :    int = 1000     ):
       _A  :			int											=      [0, 0, 0]  # length, a, b
       for a in range((a_limit * -1) + 1						,lowerCamelCase     ):
              for b in range(2						,lowerCamelCase     ):
                     if is_prime(lowerCamelCase     ):
                            _A  :			Dict											=      0
                            _A  :			Tuple											=      0
                            while is_prime((n**2) + (a * n) + b     ):
                                   count += 1
                                   n += 1
                            if count > longest[0]:
                                   _A  :			List[str]											=      [count, a, b]
       _A  :			str											=      longest[1] * longest[2]
       return ans


if __name__ == "__main__":
   print(solution(1000, 1000))






