



def   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			Any    ):
				"""simple docstring"""







				__a       =		[]
				__a       =		[]
				__a       =		{
				    """^""": 3,
				    """*""": 2,
				    """/""": 2,
				    """%""": 2,
				    """+""": 1,
				    """-""": 1,
				}  # Priority of each operator
				__a       =		len(_SCREAMING_SNAKE_CASE    ) if (len(_SCREAMING_SNAKE_CASE    ) > 7) else 7

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

				for x in infix:
								if x.isalpha() or x.isdigit():
												post_fix.append(_SCREAMING_SNAKE_CASE    )  # if x is Alphabet / Digit, add it to Postfix
								elif x == "(":
												stack.append(_SCREAMING_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(_SCREAMING_SNAKE_CASE    ) == 0:
																stack.append(_SCREAMING_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(_SCREAMING_SNAKE_CASE    ) > 0 and priority[x] <= priority[stack[-1]]:
																				post_fix.append(stack.pop()    )  # pop stack & add to Postfix
																stack.append(_SCREAMING_SNAKE_CASE    )  # push x to stack

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

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

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

def   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			int    ):
				"""simple docstring"""







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

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

				return (infix_2_postfix("""""".join(_SCREAMING_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 itertools
import string
from collections.abc import Generator, Iterable

def   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			Iterable[str]				,     _SCREAMING_SNAKE_CASE       :			int    ):
				"""simple docstring"""







				__a       =		iter(_SCREAMING_SNAKE_CASE    )
				while True:
								__a       =		tuple(itertools.islice(_SCREAMING_SNAKE_CASE				,     _SCREAMING_SNAKE_CASE    )    )
								if not chunk:
												return
								yield chunk

def   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			str    ):
				"""simple docstring"""







				__a       =		"""""".join([c.upper() for c in dirty if c in string.ascii_letters]    )
				__a       =		""""""

				if len(_SCREAMING_SNAKE_CASE    ) < 2:
								return dirty

				for i in range(len(_SCREAMING_SNAKE_CASE    ) - 1    ):
								clean += dirty[i]

								if dirty[i] == dirty[i + 1]:
												clean += "X"

				clean += dirty[-1]

				if len(_SCREAMING_SNAKE_CASE    ) & 1:
								clean += "X"

				return clean

def   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			str    ):
				"""simple docstring"""







				__a       =		"""ABCDEFGHIKLMNOPQRSTUVWXYZ"""
				# we're using a list instead of a '2d' array because it makes the math
				# for setting up the table and doing the actual encoding/decoding simpler
				__a       =		[]

				# copy key chars into the table if they are in `alphabet` ignoring duplicates
				for char in key.upper():
								if char not in table and char in alphabet:
												table.append(_SCREAMING_SNAKE_CASE    )

    # fill the rest of the table in with the remaining alphabet chars
				for char in alphabet:
								if char not in table:
												table.append(_SCREAMING_SNAKE_CASE    )

				return table

def   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			str				,     _SCREAMING_SNAKE_CASE       :			str    ):
				"""simple docstring"""







				__a       =		generate_table(_SCREAMING_SNAKE_CASE    )
				__a       =		prepare_input(_SCREAMING_SNAKE_CASE    )
				__a       =		""""""

				# https://en.wikipedia.org/wiki/Playfair_cipher#Description
				for chara, chara in chunker(_SCREAMING_SNAKE_CASE				,     2    ):
								__a     ,					__a       =		divmod(table.index(_SCREAMING_SNAKE_CASE    )				,     5    )
								__a     ,					__a       =		divmod(table.index(_SCREAMING_SNAKE_CASE    )				,     5    )

								if rowa == rowa:
												ciphertext += table[rowa * 5 + (cola + 1) % 5]
												ciphertext += table[rowa * 5 + (cola + 1) % 5]
								elif cola == cola:
												ciphertext += table[((rowa + 1) % 5) * 5 + cola]
												ciphertext += table[((rowa + 1) % 5) * 5 + cola]
								else:  # rectangle
												ciphertext += table[rowa * 5 + cola]
												ciphertext += table[rowa * 5 + cola]

				return ciphertext

def   lowerCAmelCase__						(							_SCREAMING_SNAKE_CASE       :			str				,     _SCREAMING_SNAKE_CASE       :			str    ):
				"""simple docstring"""







				__a       =		generate_table(_SCREAMING_SNAKE_CASE    )
				__a       =		""""""

				# https://en.wikipedia.org/wiki/Playfair_cipher#Description
				for chara, chara in chunker(_SCREAMING_SNAKE_CASE				,     2    ):
								__a     ,					__a       =		divmod(table.index(_SCREAMING_SNAKE_CASE    )				,     5    )
								__a     ,					__a       =		divmod(table.index(_SCREAMING_SNAKE_CASE    )				,     5    )

								if rowa == rowa:
												plaintext += table[rowa * 5 + (cola - 1) % 5]
												plaintext += table[rowa * 5 + (cola - 1) % 5]
								elif cola == cola:
												plaintext += table[((rowa - 1) % 5) * 5 + cola]
												plaintext += table[((rowa - 1) % 5) * 5 + cola]
								else:  # rectangle
												plaintext += table[rowa * 5 + cola]
												plaintext += table[rowa * 5 + cola]

				return plaintext
