code: 
  
  
  
  
  
  
  import timeit
  
  
  
  
  
  
  
  class 							UpperCAmelCase_     :
  
  
  
  
  					def __init__(							self  ,	_lowerCAmelCase		):
  										if isinstance(snake_case_  ,	snake_case_		):  # Initializes a matrix identical to the one provided.
  															UpperCAmelCase__			:     Union[str, Any]										= arg
  															UpperCAmelCase__			:     Optional[int]										= len(snake_case_		)
  										else:  # Initializes a square matrix of the given size and set values to zero.
  															UpperCAmelCase__			:     List[str]										= arg
  															UpperCAmelCase__			:     Dict										= [[0 for _ in range(self.n		)] for _ in range(self.n		)]
  
  
  
  
  					def __mul__(							self  ,	_lowerCAmelCase		):
  										UpperCAmelCase__			:     Tuple										= Matrix(self.n		)
  										for i in range(self.n		):
  															for j in range(self.n		):
  																				for k in range(self.n		):
  																									matrix.t[i][j] += self.t[i][k] * b.t[k][j]
  										return matrix
  
  
  
  
  
  def    _lowerCamelCase	(	__lowerCamelCase   ,       __lowerCamelCase					)   -> List[str]:
  
  					'''simple docstring'''
  					UpperCAmelCase__			:     Dict										= Matrix([[1, 0], [0, 1]]					)
  					while b > 0:
  										if b & 1:
  															matrix *= a
  										a *= a
  										b >>= 1
  					return matrix
  
  
  
  
  
  def    _lowerCamelCase	(	__lowerCamelCase   ,       __lowerCamelCase   ,       __lowerCamelCase					)   -> Union[str, Any]:
  
  					'''simple docstring'''
  
  
  
  
  
  					if n == 1:
  										return fa
  					elif n == 2:
  										return fa
  					UpperCAmelCase__			:     Optional[Any]										= Matrix([[1, 1], [1, 0]]					)
  					UpperCAmelCase__			:     List[Any]										= modular_exponentiation(__a   ,       n - 2					)
  					return fa * matrix.t[0][0] + fa * matrix.t[0][1]
  
  
  
  
  
  def    _lowerCamelCase	(	__lowerCamelCase   ,       __lowerCamelCase   ,       __lowerCamelCase					)   -> List[Any]:
  
  					'''simple docstring'''
  
  
  
  
  
  					if n == 1:
  										return fa
  					elif n == 2:
  										return fa
  
  					UpperCAmelCase__			:     Optional[Any]										= fa
  					UpperCAmelCase__			:     Any										= fa
  					n -= 2
  
  					while n > 0:
  										UpperCAmelCase__			:     int										= fn_a + fn_a, fn_a
  										n -= 1
  
  					return fn_a
  
  
  
  
  
  def    _lowerCamelCase	(	)   -> str:
  
  					'''simple docstring'''
  					UpperCAmelCase__			:     str										= '''
  from random import randint
  from __main__ import fibonacci_with_matrix_exponentiation
  '''
  					UpperCAmelCase__			:     int										= '''fibonacci_with_matrix_exponentiation(randint(1,70000), 1, 1)'''
  					UpperCAmelCase__			:     Tuple										= timeit.timeit(setup=__a   ,       stmt=__a   ,       number=100					)
  					print("""With matrix exponentiation the average execution time is """   ,       exec_time / 100					)
  					return exec_time
  
  
  
  
  
  def    _lowerCamelCase	(	)   -> int:
  
  					'''simple docstring'''
  					UpperCAmelCase__			:     Any										= '''
  from random import randint
  from __main__ import simple_fibonacci
  '''
  					UpperCAmelCase__			:     Tuple										= '''simple_fibonacci(randint(1,70000), 1, 1)'''
  					UpperCAmelCase__			:     List[Any]										= timeit.timeit(setup=__a   ,       stmt=__a   ,       number=100					)
  					print(
  					    """Without matrix exponentiation the average execution time is """   ,       exec_time / 100					)
  					return exec_time
  
  
  
  
  
  def    _lowerCamelCase	(	)   -> List[str]:
  
  					'''simple docstring'''
  					matrix_exponentiation_time()
  					simple_fibonacci_time()
  
  
  if __name__ == "__main__":
  						main()
  
  
  
  
  
  
  
style_context: 
  
  
  
  
  
  
  from .stack import Stack
  
  
  
  
  
  def    _lowerCamelCase	(	__lowerCamelCase					)   -> bool:
  
       '''simple docstring'''
       UpperCAmelCase__			:     Stack[str]										= Stack()
       UpperCAmelCase__			:     str										= {"""(""": """)""", """[""": """]""", """{""": """}"""}
       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__		:       Any   							=							["""((()))""", """((())""", """(()))"""]
        print("""Balanced parentheses demonstration:\n""")
        for example in examples:
              SCREAMING_SNAKE_CASE__		:       List[str]   							=							"""""" if balanced_parentheses(example) else """not """
              print(f'''{example} is {not_str}balanced''')
  
  
  
  
  
  
  