


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

def 							_snake_case			(      __snake_case       :			Optional[Any]      ):




			"""simple docstring"""







			return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(UpperCamelCase__	,   -1      )

def 							_snake_case			(      __snake_case       :			int      ):




			"""simple docstring"""







			if not balanced_parentheses(UpperCamelCase__      ):
						raise ValueError("""Mismatched parentheses"""      )
			_lowerCamelCase  :				List[Any]      =		Stack()
			_lowerCamelCase  :				Any      =		[]
			for char in expression_str:
						if char.isalpha() or char.isdigit():
									postfix.append(UpperCamelCase__      )
						elif char == "(":
									stack.push(UpperCamelCase__      )
						elif char == ")":
									while not stack.is_empty() and stack.peek() != "(":
												postfix.append(stack.pop()      )
									stack.pop()
						else:
									while not stack.is_empty() and precedence(UpperCamelCase__      ) <= precedence(stack.peek()      ):
												postfix.append(stack.pop()      )
									stack.push(UpperCamelCase__      )
			while not stack.is_empty():
						postfix.append(stack.pop()      )
			return " ".join(UpperCamelCase__      )


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

	testmod()
	UpperCAmelCase   =	"""a+b*(c^d-e)^(f+g*h)-i"""

	print("""Infix to Postfix Notation demonstration:\n""")
	print("""Infix notation: """ + expression)
	print("""Postfix notation: """ + infix_to_postfix(expression))





"""simple docstring"""
import timeit




class   lowercase__							:





   def __init__(       self			,      SCREAMING_SNAKE_CASE)     ->     Tuple:
      if isinstance(SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE):  # Initializes a matrix identical to the one provided.
         _lowerCamelCase  :				List[str]      =		arg
         _lowerCamelCase  :				List[str]      =		len(SCREAMING_SNAKE_CASE)
      else:  # Initializes a square matrix of the given size and set values to zero.
         _lowerCamelCase  :				List[Any]      =		arg
         _lowerCamelCase  :				Union[str, Any]      =		[[0 for _ in range(self.n)] for _ in range(self.n)]





   def __mul__(       self			,      SCREAMING_SNAKE_CASE)     ->     Optional[Any]:
      _lowerCamelCase  :				List[Any]      =		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 							_snake_case			(      __snake_case       :			Union[str, Any]	,   __snake_case       :			List[Any]      ):




   """simple docstring"""







   _lowerCamelCase  :				List[Any]      =		Matrix([[1, 0], [0, 1]]      )
   while b > 0:
      if b & 1:
         matrix *= a
      a *= a
      b >>= 1
   return matrix

def 							_snake_case			(      __snake_case       :			List[str]	,   __snake_case       :			str	,   __snake_case       :			List[Any]      ):




   """simple docstring"""







   if n == 1:
      return fa
   elif n == 2:
      return fa
   _lowerCamelCase  :				Any      =		Matrix([[1, 1], [1, 0]]      )
   _lowerCamelCase  :				List[str]      =		modular_exponentiation(__snake_case	,   n - 2      )
   return fa * matrix.t[0][0] + fa * matrix.t[0][1]

def 							_snake_case			(      __snake_case       :			int	,   __snake_case       :			Optional[int]	,   __snake_case       :			List[Any]      ):




   """simple docstring"""







   if n == 1:
      return fa
   elif n == 2:
      return fa

   _lowerCamelCase  :				Optional[Any]      =		fa
   _lowerCamelCase  :				int      =		fa
   n -= 2

   while n > 0:
      _lowerCamelCase      ,						_lowerCamelCase  :				Tuple      =		fn_a + fn_a, fn_a
      n -= 1

   return fn_a

def 							_snake_case			(      ):




   """simple docstring"""







   _lowerCamelCase  :				List[str]      =		"""
from random import randint
from __main__ import fibonacci_with_matrix_exponentiation
"""
   _lowerCamelCase  :				int      =		"""fibonacci_with_matrix_exponentiation(randint(1,70000), 1, 1)"""
   _lowerCamelCase  :				Tuple      =		timeit.timeit(setup=__snake_case	,   stmt=__snake_case	,   number=100      )
   print("""With matrix exponentiation the average execution time is """	,   exec_time / 100      )
   return exec_time

def 							_snake_case			(      ):




   """simple docstring"""







   _lowerCamelCase  :				Dict      =		"""
from random import randint
from __main__ import simple_fibonacci
"""
   _lowerCamelCase  :				Optional[int]      =		"""simple_fibonacci(randint(1,70000), 1, 1)"""
   _lowerCamelCase  :				List[Any]      =		timeit.timeit(setup=__snake_case	,   stmt=__snake_case	,   number=100      )
   print(
       """Without matrix exponentiation the average execution time is """	,   exec_time / 100      )
   return exec_time

def 							_snake_case			(      ):




   """simple docstring"""







   matrix_exponentiation_time()
   simple_fibonacci_time()


if __name__ == "__main__":
 main()

