
def      UpperCamelCase   (       __lowerCamelCase	:					str       ):
       snake_case			:  Tuple     							= 0

       # if input_string is "aba" than new_input_string become "a|b|a"
       snake_case			:  List[str]     							= ""
       snake_case			:  int     							= ""

       # append each character + "|" in new_string for range(0, length-1)
       for i in input_string[: len(__a       ) - 1]:
              new_input_string += i + "|"
       # append last character
       new_input_string += input_string[-1]

       # we will store the starting and ending of previous furthest ending palindromic
       # substring
       snake_case							,   snake_case			:  Optional[int]     							= 0, 0

       # length[i] shows the length of palindromic substring with center i
       snake_case			:  Dict     							= [1 for i in range(len(__a       )       )]

       # for each character in new_string find corresponding palindromic string
       snake_case			:  Union[str, Any]     							= 0
       for j in range(len(__a       )       ):
              snake_case			:  Any     							= 1 if j > r else min(length[l + r - j] // 2							,   r - j + 1       )
              while (
                  j - k >= 0
                  and j + k < len(__a       )
                  and new_input_string[k + j] == new_input_string[j - k]
              ):
                     k += 1

              snake_case			:  Any     							= 2 * k - 1

              # does this string is ending after the previously explored end (that is r) ?
              # if yes the update the new r to the last index of this
              if j + k - 1 > r:
                     snake_case			:  Optional[int]     							= j - k + 1  # noqa: E741
                     snake_case			:  Tuple     							= j + k - 1

              # update max_length and start position
              if max_length < length[j]:
                     snake_case			:  Optional[Any]     							= length[j]
                     snake_case			:  Dict     							= j

    # create that string
       snake_case			:  Union[str, Any]     							= new_input_string[start - max_length // 2 : start + max_length // 2 + 1]
       for i in s:
              if i != "|":
                     output_string += i

       return output_string


if __name__ == "__main__":
   import doctest

   doctest.testmod()












def   __lowerCamelCase   (				__a  :Dict       )						->							Optional[int]:






		"""simple docstring"""

		A__     =  []
		A__     =  []
		A__     =  {
		    """^""": 3,
		    """*""": 2,
		    """/""": 2,
		    """%""": 2,
		    """+""": 1,
		    """-""": 1,
		}  # Priority of each operator
		A__     =  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   __lowerCamelCase   (				__a  :List[str]       )						->							Union[str, Any]:






		"""simple docstring"""

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

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

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


if __name__ == "__main__":
					A       :   Union[str, Any]					= input('''\nEnter an Infix Equation = ''')  # Input an Infix equation
					A       :   Dict					= ''''''.join(Infix.split())  # Remove spaces from the input
					print('''\n\t''', Infix, '''(Infix) -> ''', infix_2_prefix(Infix), '''(Prefix)''')



