






__a      :       Any				  =   "Alexander Joslin"

import operator as op

from .stack import Stack



def 			_SCREAMING_SNAKE_CASE						( __lowercase   :			str    )						->      int:





    """simple docstring"""

    __A         =	{"""*""": op.mul, """/""": op.truediv, """+""": op.add, """-""": op.sub}

    __A         =	Stack()
    __A         =	Stack()

    for i in equation:
        if i.isdigit():
            # RULE 1
            operand_stack.push(int(__lowercase    )    )
        elif i in operators:
            # RULE 2
            operator_stack.push(__lowercase    )
        elif i == ")":
            # RULE 4
            __A         =	operator_stack.peek()
            operator_stack.pop()
            __A         =	operand_stack.peek()
            operand_stack.pop()
            __A         =	operand_stack.peek()
            operand_stack.pop()

            __A         =	operators[opr](__lowercase			,				__lowercase    )
            operand_stack.push(__lowercase    )

    # RULE 5
    return operand_stack.peek()


if __name__ == "__main__":
  __a      :       Union[str, Any]				  =   "(5 + ((4 * 2) * (2 + 3)))"
  # answer = 45
  print(f"""{equation} = {dijkstras_two_stack_algorithm(equation)}""")












def 			_SCREAMING_SNAKE_CASE						( __lowercase   :			List[Any]			,				__lowercase   :			Dict			,				__lowercase   :			str    )						->      Dict:





    """simple docstring"""

    if n == 0:
        return 1

    elif n % 2 == 1:
        return (binary_exponentiation(__lowercase			,				n - 1			,				__lowercase    ) * a) % mod

    else:
        __A         =	binary_exponentiation(__lowercase			,				n / 2			,				__lowercase    )
        return (b * b) % mod


# a prime number
__a      :       Union[str, Any]				  =   701

__a      :       Dict				  =   1000000000
__a      :       Union[str, Any]				  =   10

# using binary exponentiation function, O(log(p)):
print((a / b) % p == (a * binary_exponentiation(b, p - 2, p)) % p)






print((a / b) % p == (a * b ** (p - 2)) % p)




