


'''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)''')



'''simple docstring'''






from __future__ import annotations

from random import choice


def    _snake_case  (	A			)		->       int:
							return choice(A			)


def    _snake_case  (	A					,       A			)		->       int:
							lowerCAmelCase__			  =      random_pivot(A			)

							# partition based on pivot
							# linear time
							lowerCAmelCase__			  =      [e for e in lst if e < pivot]
							lowerCAmelCase__			  =      [e for e in lst if e > pivot]

							# if we get lucky, pivot might be the element we want.
							# we can easily see this:
							# small (elements smaller than k)
							# + pivot (kth element)
							# + big (elements larger than k)
							if len(A			) == k - 1:
														return pivot
							# pivot is in elements bigger than k
							elif len(A			) < k - 1:
														return kth_number(A					,       k - len(A			) - 1			)
							# pivot is in elements smaller than k
							else:
														return kth_number(A					,       A			)


if __name__ == "__main__":
		import doctest

		doctest.testmod()