


'''simple docstring'''






def    _snake_case  (	A			)		->       Any:
							lowerCAmelCase__			  =      []
							lowerCAmelCase__			  =      []
							lowerCAmelCase__			  =      {
							    '''^''': 3,
							    '''*''': 2,
							    '''/''': 2,
							    '''%''': 2,
							    '''+''': 1,
							    '''-''': 1,
							}  # Priority of each operator
							lowerCAmelCase__			  =      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    _snake_case  (	A			)		->       Union[str, Any]:
							lowerCAmelCase__			  =      list(infix[::-1]			)  # reverse the infix equation

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

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


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

import math





def      lowerCamelCase_					(							lowerCamelCase__       ):

				if 1 < number < 4:
								# 2 and 3 are primes
								return True
				elif number < 2 or number % 2 == 0 or number % 3 == 0:
								# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
								return False

				# All primes number are in format of 6k +/- 1
				for i in range(5      ,					int(math.sqrt(lowerCamelCase__       ) + 1       )      ,					6       ):
								if number % i == 0 or number % (i + 2) == 0:
												return False
				return True





def      lowerCamelCase_					(							lowerCamelCase__ = 1_0_0_0_1       ):

				try:
								lowerCamelCase_         =     int(lowerCamelCase__       )
				except (TypeError, ValueError):
								raise TypeError("Parameter nth must be int or castable to int."       ) from None
				if nth <= 0:
								raise ValueError("Parameter nth must be greater than or equal to one."       )
				lowerCamelCase_         =     []
				lowerCamelCase_         =     2
				while len(lowerCamelCase__       ) < nth:
								if is_prime(lowerCamelCase__       ):
												primes.append(lowerCamelCase__       )
												num += 1
								else:
												num += 1
				return primes[len(lowerCamelCase__       ) - 1]


if __name__ == "__main__":
			print(F"""{solution() = }""")


