


'''simple docstring'''
def 					lowerCamelCase_ ( __UpperCamelCase					:       int		)					->	str:







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

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

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

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

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

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

def 					lowerCamelCase_ ( __UpperCamelCase					:       Optional[int]		)					->	Optional[int]:







     """simple docstring"""
     _A				=							list(infix[::-1]		)  # reverse the infix equation

     for i in range(len(__UpperCamelCase		)		):
          if infix[i] == "(":
               _A				=							')'  # change "(" to ")"
          elif infix[i] == ")":
               _A				=							'('  # change ")" to "("

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


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









'''simple docstring'''
from __future__ import annotations

def 					lowerCamelCase_ ( __UpperCamelCase					:       list							,    __UpperCamelCase					:       int | None = None							,    __UpperCamelCase					:       int | None = None		)					->	None:







     """simple docstring"""
     if start is None:
          _A				=							0

     if end is None:
          _A				=							len(__UpperCamelCase		) - 1

     if start >= end:
          return

     _A				=							(start + end) // 2

     slowsort(__UpperCamelCase							,    __UpperCamelCase							,    __UpperCamelCase		)
     slowsort(__UpperCamelCase							,    mid + 1							,    __UpperCamelCase		)

     if sequence[end] < sequence[mid]:
          _A		,				_A				=							sequence[mid], sequence[end]

     slowsort(__UpperCamelCase							,    __UpperCamelCase							,    end - 1		)


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

    testmod()





