






def __A    (      __lowerCAmelCase	)->  Union[str, Any]:





						"""simple docstring"""



						_UpperCAmelCase									=			[]
						_UpperCAmelCase									=			[]
						_UpperCAmelCase									=			{
						    '^': 3,
						    '*': 2,
						    '/': 2,
						    '%': 2,
						    '+': 1,
						    '-': 1,
						}  # Priority of each operator
						_UpperCAmelCase									=			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 __A    (      __lowerCAmelCase	)->  Tuple:





						"""simple docstring"""



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

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

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


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

'''simple docstring'''




def 				snake_case__							(			_A:					str )    ->	list[int]:

		'''simple docstring'''


		lowerCAmelCase   					=  [0 for i in range(len(_A ) )]

		# initialize interval's left pointer and right pointer
		lowerCAmelCase					,     lowerCAmelCase   					=  0, 0

		for i in range(1      ,   len(_A ) ):
				# case when current index is inside the interval
				if i <= right_pointer:
						lowerCAmelCase   					=  min(right_pointer - i + 1      ,   z_result[i - left_pointer] )
						lowerCAmelCase   					=  min_edge

				while go_next(_A      ,   _A      ,   _A ):
						z_result[i] += 1

				# if new index's result gives us more right interval,
				# we've to update left_pointer and right_pointer
				if i + z_result[i] - 1 > right_pointer:
						lowerCAmelCase					,     lowerCAmelCase   					=  i, i + z_result[i] - 1

		return z_result






def 				snake_case__							(			_A:					int      ,   _A:					list[int]      ,   _A:					str )    ->	bool:

		'''simple docstring'''


		return i + z_result[i] < len(_A ) and s[z_result[i]] == s[i + z_result[i]]






def 				snake_case__							(			_A:					str      ,   _A:					str )    ->	int:

		'''simple docstring'''


		lowerCAmelCase   					=  0
		# concatenate 'pattern' and 'input_str' and call z_function
		# with concatenated string
		lowerCAmelCase   					=  z_function(pattern + input_str )

		for val in z_result:
				# if value is greater then length of the pattern string
				# that means this index is starting position of substring
				# which is equal to pattern string
				if val >= len(_A ):
						answer += 1

		return answer


if __name__ == "__main__":
						import doctest

						doctest.testmod()




