"""simple docstring"""






def     UpperCAmelCase__ (       lowerCAmelCase__  :Tuple	)				->					Optional[int]:
      '''simple docstring'''


      lowercase														=			[]
      lowercase														=			[]
      lowercase														=			{
          """^""": 3,
          """*""": 2,
          """/""": 2,
          """%""": 2,
          """+""": 1,
          """-""": 1,
      }  # Priority of each operator
      lowercase														=			len(lowerCAmelCase__	) if (len(lowerCAmelCase__	) > 7) else 7

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

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

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

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

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


def     UpperCAmelCase__ (       lowerCAmelCase__  :Optional[int]	)				->					Optional[Any]:
      '''simple docstring'''


      lowercase														=			list(infix[::-1]	)  # reverse the infix equation

      for i in range(len(lowerCAmelCase__	)	):
            if infix[i] == "(":
                  lowercase														=			""")"""  # change "(" to ")"
            elif infix[i] == ")":
                  lowercase														=			"""("""  # change ")" to "("

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


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




"""simple docstring"""






from __future__ import annotations

import math


def     UpperCAmelCase__ (       lowerCAmelCase__  :int	)				->					list[int]:
      '''simple docstring'''


      if num <= 0:
            lowercase														=			f'{num}: Invalid input, please enter a positive integer.'
            raise ValueError(lowerCAmelCase__	)

      lowercase														=			[True] * (num + 1)
      lowercase														=			[]
      lowercase														=			2
      lowercase														=			int(math.sqrt(lowerCAmelCase__	)	)

      while start <= end:
            # If start is a prime
            if sieve[start] is True:
                  prime.append(lowerCAmelCase__	)

                  # Set multiples of start be False
                  for i in range(start * start      ,	num + 1      ,	lowerCAmelCase__	):
                        if sieve[i] is True:
                              lowercase														=			False

            start += 1

      for j in range(end + 1      ,	num + 1	):
            if sieve[j] is True:
                  prime.append(lowerCAmelCase__	)

      return prime


if __name__ == "__main__":
       print(prime_sieve(int(input("""Enter a positive integer: """).strip())))



