






"""simple docstring"""






def       _A    (__a							)				-> List[Any]:
    """simple docstring"""






    SCREAMING_SNAKE_CASE_   :						Tuple							=	[]
    SCREAMING_SNAKE_CASE_   :						Any							=	[]
    SCREAMING_SNAKE_CASE_   :						Any							=	{
        '''^''': 3,
        '''*''': 2,
        '''/''': 2,
        '''%''': 2,
        '''+''': 1,
        '''-''': 1,
    }  # Priority of each operator
    SCREAMING_SNAKE_CASE_   :						List[Any]							=	len(__a							) if (len(__a							) > 7) else 7

    # Print table header for output
    print(
        '''Symbol'''.center(8							)					,       '''Stack'''.center(__a							)					,       '''Postfix'''.center(__a							)					,       sep=''' | '''					,       )
    print('''-''' * (print_width * 3 + 7)							)

    for x in infix:
        if x.isalpha() or x.isdigit():
            post_fix.append(__a							)  # if x is Alphabet / Digit, add it to Postfix
        elif x == "(":
            stack.append(__a							)  # if x is "(" push to Stack
        elif x == ")":  # if x is ")" pop stack until "(" is encountered
            while stack[-1] != "(":
                post_fix.append(stack.pop()							)  # Pop stack & add the content to Postfix
            stack.pop()
        else:
            if len(__a							) == 0:
                stack.append(__a							)  # If stack is empty, push x to stack
            else:  # while priority of x is not > priority of element in the stack
                while len(__a							) > 0 and priority[x] <= priority[stack[-1]]:
                    post_fix.append(stack.pop()							)  # pop stack & add to Postfix
                stack.append(__a							)  # push x to stack

        print(
            x.center(8							)					,       (''''''.join(__a							)).ljust(__a							)					,       (''''''.join(__a							)).ljust(__a							)					,       sep=''' | '''					,       )  # Output in tabular format

    while len(__a							) > 0:  # while stack is not empty
        post_fix.append(stack.pop()							)  # pop stack & add to Postfix
        print(
            ''' '''.center(8							)					,       (''''''.join(__a							)).ljust(__a							)					,       (''''''.join(__a							)).ljust(__a							)					,       sep=''' | '''					,       )  # Output in tabular format

    return "".join(__a							)  # return Postfix as str



def       _A    (__a							)				-> List[Any]:
    """simple docstring"""






    SCREAMING_SNAKE_CASE_   :						List[str]							=	list(infix[::-1]							)  # reverse the infix equation

    for i in range(len(__a							)							):
        if infix[i] == "(":
            SCREAMING_SNAKE_CASE_   :						str							=	''')'''  # change "(" to ")"
        elif infix[i] == ")":
            SCREAMING_SNAKE_CASE_   :						Dict							=	'''('''  # change ")" to "("

    return (infix_2_postfix(''''''.join(__a							)							))[
        ::-1
    ]  # call infix_2_postfix on Infix, return reverse of Postfix


if __name__ == "__main__":
  UpperCAmelCase_     :				Tuple         =				input("""\nEnter an Infix Equation = """)  # Input an Infix equation
  UpperCAmelCase_     :				Optional[Any]         =				"""""".join(Infix.split())  # Remove spaces from the input
  print("""\n\t""", Infix, """(Infix) -> """, infix_2_prefix(Infix), """(Prefix)""")










"""simple docstring"""






from math import isqrt



def       _A    (__a							)				-> list[int]:
    """simple docstring"""






    SCREAMING_SNAKE_CASE_   :						Optional[Any]							=	[True] * max_number
    for i in range(2					,       isqrt(max_number - 1							) + 1							):
        if is_prime[i]:
            for j in range(i**2					,       __a					,       __a							):
                SCREAMING_SNAKE_CASE_   :						Tuple							=	False

    return [i for i in range(2					,       __a							) if is_prime[i]]



def       _A    (__a = 10**8							)				-> int:
    """simple docstring"""






    SCREAMING_SNAKE_CASE_   :						Any							=	calculate_prime_numbers(max_number // 2							)

    SCREAMING_SNAKE_CASE_   :						List[str]							=	0
    SCREAMING_SNAKE_CASE_   :						Any							=	0
    SCREAMING_SNAKE_CASE_   :						List[str]							=	len(__a							) - 1
    while left <= right:
        while prime_numbers[left] * prime_numbers[right] >= max_number:
            right -= 1
        semiprimes_count += right - left + 1
        left += 1

    return semiprimes_count


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


