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

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

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

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

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

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


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

      for i in range(len(snake_case__		)		):
            if infix[i] == "(":
                  UpperCamelCase__    :   Optional[Any]					=				''')'''  # change "(" to ")"
            elif infix[i] == ")":
                  UpperCamelCase__    :   Optional[Any]					=				'''('''  # change ")" to "("

      return (infix_2_postfix(''''''.join(snake_case__		)		))[
          ::-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)")




import doctest
from collections import deque

import numpy as np




class 				_lowerCamelCase :





     """simple docstring"""







     def __init__(							self  )  ->   None:




           """simple docstring"""







           UpperCamelCase__    :   Tuple					=				[2, 1, 2, -1]
           UpperCamelCase__    :   Union[str, Any]					=				[1, 2, 3, 4]






     def    __SCREAMING_SNAKE_CASE			(							self  )  ->   list[float]:




           """simple docstring"""







           UpperCamelCase__    :   List[str]					=				len(self.first_signal  )
           UpperCamelCase__    :   Any					=				len(self.second_signal  )

           UpperCamelCase__    :   Dict					=				max(__SCREAMING_SNAKE_CASE						,						__SCREAMING_SNAKE_CASE  )

           # create a zero matrix of max_length x max_length
           UpperCamelCase__    :   List[Any]					=				[[0] * max_length for i in range(__SCREAMING_SNAKE_CASE  )]

           # fills the smaller signal with zeros to make both signals of same length
           if length_first_signal < length_second_signal:
                 self.first_signal += [0] * (max_length - length_first_signal)
           elif length_first_signal > length_second_signal:
                 self.second_signal += [0] * (max_length - length_second_signal)
           for i in range(__SCREAMING_SNAKE_CASE  ):
                 UpperCamelCase__    :   Optional[int]					=				deque(self.second_signal  )
                 rotated_signal.rotate(__SCREAMING_SNAKE_CASE  )
                 for j, item in enumerate(__SCREAMING_SNAKE_CASE  ):
                       matrix[i][j] += item

        # multiply the matrix with the first signal
           UpperCamelCase__    :   Optional[Any]					=				np.matmul(np.transpose(__SCREAMING_SNAKE_CASE  )						,						np.transpose(self.first_signal  )  )

           # rounding-off to two decimal places
           return [round(__SCREAMING_SNAKE_CASE						,						2  ) for i in final_signal]


if __name__ == "__main__":
    doctest.testmod()


