


"""simple docstring"""







from .balanced_parentheses import balanced_parentheses
from .stack import Stack
def _A		(		lowercase	):







    """simple docstring"""
    return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(lowercase ,					-1	)
def _A		(		lowercase	):







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


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

       testmod()
       lowerCamelCase_     :     Optional[int]    		=						"""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"""







from math import gcd
def _A		(		lowercase = 1_20_00	):







    """simple docstring"""
    a					=0
    for d in range(max_d + 1	):
        for n in range(d // 3 + 1 ,					(d + 1) // 2	):
            if gcd(lowercase ,					lowercase	) == 1:
                fractions_number += 1
    return fractions_number


if __name__ == "__main__":
       print(F'{solution() = }')