



"""simple docstring"""







def 				UpperCamelCase_    (    lowerCAmelCase__      :				int						)						->   int:

  """simple docstring"""




  lowerCAmelCase_   :				int								= []
  lowerCAmelCase_   :				int								= []
  lowerCAmelCase_   :				Union[str, Any]								= {
      '^': 3,
      '*': 2,
      '/': 2,
      '%': 2,
      '+': 1,
      '-': 1,
  }  # Priority of each operator
  lowerCAmelCase_   :				Optional[Any]								= 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__      :				Any						)						->   str:

  """simple docstring"""




  lowerCAmelCase_   :				Optional[int]								= list(infix[::-1]						)  # reverse the infix equation

  for i in range(len(lowerCAmelCase__						)						):
    if infix[i] == "(":
      lowerCAmelCase_   :				List[Any]								= ')'  # change "(" to ")"
    elif infix[i] == ")":
      lowerCAmelCase_   :				Optional[int]								= '('  # change ")" to "("

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


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












"""simple docstring"""





def 			UpperCAmelCase__							(  SCREAMING_SNAKE_CASE     :						int							,						SCREAMING_SNAKE_CASE     :						int			):







      '''simple docstring'''




      while b:
            lowerCAmelCase						,		lowerCAmelCase  						=       b, a % b
      return a


def 			UpperCAmelCase__							(  SCREAMING_SNAKE_CASE     :						int							,						SCREAMING_SNAKE_CASE     :						int			):







      '''simple docstring'''




      return a if b == 0 else euclidean_gcd_recursive(SCREAMING_SNAKE_CASE							,						a % b			)


def 			UpperCAmelCase__							(  ):







      '''simple docstring'''




      print(F'euclidean_gcd(3, 5) = {euclidean_gcd(3							,						5			)}'			)
      print(F'euclidean_gcd(5, 3) = {euclidean_gcd(5							,						3			)}'			)
      print(F'euclidean_gcd(1, 3) = {euclidean_gcd(1							,						3			)}'			)
      print(F'euclidean_gcd(3, 6) = {euclidean_gcd(3							,						6			)}'			)
      print(F'euclidean_gcd(6, 3) = {euclidean_gcd(6							,						3			)}'			)

      print(F'euclidean_gcd_recursive(3, 5) = {euclidean_gcd_recursive(3							,						5			)}'			)
      print(F'euclidean_gcd_recursive(5, 3) = {euclidean_gcd_recursive(5							,						3			)}'			)
      print(F'euclidean_gcd_recursive(1, 3) = {euclidean_gcd_recursive(1							,						3			)}'			)
      print(F'euclidean_gcd_recursive(3, 6) = {euclidean_gcd_recursive(3							,						6			)}'			)
      print(F'euclidean_gcd_recursive(6, 3) = {euclidean_gcd_recursive(6							,						3			)}'			)


if __name__ == "__main__":
       main()






