


"""simple docstring"""






def __lowercase     (      lowerCamelCase_  :      Tuple  ):
				SCREAMING_SNAKE_CASE__     							=				[]
				SCREAMING_SNAKE_CASE__     							=				[]
				SCREAMING_SNAKE_CASE__     							=				{
				    "^": 3,
				    "*": 2,
				    "/": 2,
				    "%": 2,
				    "+": 1,
				    "-": 1,
				}  # Priority of each operator
				SCREAMING_SNAKE_CASE__     							=				len(__UpperCamelCase  ) if (len(__UpperCamelCase  ) > 7) else 7

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

				for x in infix:
								if x.isalpha() or x.isdigit():
												post_fix.append(__UpperCamelCase  )  # if x is Alphabet / Digit, add it to Postfix
								elif x == "(":
												stack.append(__UpperCamelCase  )  # 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(__UpperCamelCase  ) == 0:
																stack.append(__UpperCamelCase  )  # If stack is empty, push x to stack
												else:  # while priority of x is not > priority of element in the stack
																while len(__UpperCamelCase  ) > 0 and priority[x] <= priority[stack[-1]]:
																				post_fix.append(stack.pop()  )  # pop stack & add to Postfix
																stack.append(__UpperCamelCase  )  # push x to stack

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

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

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

def __lowercase     (      lowerCamelCase_  :      List[Any]  ):
				SCREAMING_SNAKE_CASE__     							=				list(infix[::-1]  )  # reverse the infix equation

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

				return (infix_2_postfix("".join(__UpperCamelCase  )  ))[
				    ::-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)')




"""simple docstring"""






from __future__ import annotations

from collections.abc import Sequence
from typing import Literal


def __lowercase     (      lowerCamelCase_  :      str						,					lowerCamelCase_  :      str  ):
				SCREAMING_SNAKE_CASE__     							=				list(lowerCamelCase_  )
				SCREAMING_SNAKE_CASE__     							=				list(lowerCamelCase_  )
				SCREAMING_SNAKE_CASE__     							=				0
				for i in range(len(lowerCamelCase_  )  ):
								if lista[i] != lista[i]:
												count += 1
												SCREAMING_SNAKE_CASE__     							=				"_"
				if count > 1:
								return False
				else:
								return "".join(lowerCamelCase_  )


def __lowercase     (      lowerCamelCase_  :      list[str]  ):
				SCREAMING_SNAKE_CASE__     							=				[]
				while True:
								SCREAMING_SNAKE_CASE__     							=				["$"] * len(lowerCamelCase_  )
								SCREAMING_SNAKE_CASE__     							=				[]
								for i in range(len(lowerCamelCase_  )  ):
												for j in range(i + 1						,					len(lowerCamelCase_  )  ):
																SCREAMING_SNAKE_CASE__     							=				compare_string(binary[i]						,					binary[j]  )
																if k is False:
																				SCREAMING_SNAKE_CASE__     							=				"*"
																				SCREAMING_SNAKE_CASE__     							=				"*"
																				temp.append("X"  )
								for i in range(len(lowerCamelCase_  )  ):
												if checka[i] == "$":
																pi.append(binary[i]  )
								if len(lowerCamelCase_  ) == 0:
												return pi
								SCREAMING_SNAKE_CASE__     							=				list(set(lowerCamelCase_  )  )


def __lowercase     (      lowerCamelCase_  :      int						,					lowerCamelCase_  :      Sequence[float]  ):
				SCREAMING_SNAKE_CASE__     							=				[]
				for minterm in minterms:
								SCREAMING_SNAKE_CASE__     							=				""
								for _ in range(lowerCamelCase_  ):
												SCREAMING_SNAKE_CASE__     							=				str(minterm % 2  ) + string
												minterm //= 2
								temp.append(lowerCamelCase_  )
				return temp


def __lowercase     (      lowerCamelCase_  :      str						,					lowerCamelCase_  :      str						,					lowerCamelCase_  :      int  ):
				SCREAMING_SNAKE_CASE__     							=				list(lowerCamelCase_  )
				SCREAMING_SNAKE_CASE__     							=				list(lowerCamelCase_  )
				SCREAMING_SNAKE_CASE__     							=				0
				for i in range(len(lowerCamelCase_  )  ):
								if lista[i] != lista[i]:
												count_n += 1
				return count_n == count


def __lowercase     (      lowerCamelCase_  :      list[list[int]]						,					lowerCamelCase_  :      list[str]  ):
				SCREAMING_SNAKE_CASE__     							=				[]
				SCREAMING_SNAKE_CASE__     							=				[0] * len(lowerCamelCase_  )
				for i in range(len(chart[0]  )  ):
								SCREAMING_SNAKE_CASE__     							=				0
								SCREAMING_SNAKE_CASE__     							=				-1
								for j in range(len(lowerCamelCase_  )  ):
												if chart[j][i] == 1:
																count += 1
																SCREAMING_SNAKE_CASE__     							=				j
								if count == 1:
												SCREAMING_SNAKE_CASE__     							=				1
				for i in range(len(lowerCamelCase_  )  ):
								if select[i] == 1:
												for j in range(len(chart[0]  )  ):
																if chart[i][j] == 1:
																				for k in range(len(lowerCamelCase_  )  ):
																								SCREAMING_SNAKE_CASE__     							=				0
												temp.append(prime_implicants[i]  )
				while True:
								SCREAMING_SNAKE_CASE__     							=				0
								SCREAMING_SNAKE_CASE__     							=				-1
								SCREAMING_SNAKE_CASE__     							=				0
								for i in range(len(lowerCamelCase_  )  ):
												SCREAMING_SNAKE_CASE__     							=				chart[i].count(1  )
												if count_n > max_n:
																SCREAMING_SNAKE_CASE__     							=				count_n
																SCREAMING_SNAKE_CASE__     							=				i

								if max_n == 0:
												return temp

								temp.append(prime_implicants[rem]  )

								for i in range(len(chart[0]  )  ):
												if chart[rem][i] == 1:
																for j in range(len(lowerCamelCase_  )  ):
																				SCREAMING_SNAKE_CASE__     							=				0


def __lowercase     (      lowerCamelCase_  :      list[str]						,					lowerCamelCase_  :      list[str]  ):
				SCREAMING_SNAKE_CASE__     							=				[[0 for x in range(len(lowerCamelCase_  )  )] for x in range(len(lowerCamelCase_  )  )]
				for i in range(len(lowerCamelCase_  )  ):
								SCREAMING_SNAKE_CASE__     							=				prime_implicants[i].count("_"  )
								for j in range(len(lowerCamelCase_  )  ):
												if is_for_table(prime_implicants[i]						,					binary[j]						,					lowerCamelCase_  ):
																SCREAMING_SNAKE_CASE__     							=				1

				return chart


def __lowercase     (      ):
				SCREAMING_SNAKE_CASE__     							=				int(input("Enter the no. of variables\n"  )  )
				SCREAMING_SNAKE_CASE__     							=				[
				    float(lowerCamelCase_  )
				    for x in input(
				        "Enter the decimal representation of Minterms 'Spaces Separated'\n"  ).split()
				]
				SCREAMING_SNAKE_CASE__     							=				decimal_to_binary(lowerCamelCase_						,					lowerCamelCase_  )

				SCREAMING_SNAKE_CASE__     							=				check(lowerCamelCase_  )
				print("Prime Implicants are:"  )
				print(lowerCamelCase_  )
				SCREAMING_SNAKE_CASE__     							=				prime_implicant_chart(lowerCamelCase_						,					lowerCamelCase_  )

				SCREAMING_SNAKE_CASE__     							=				selection(lowerCamelCase_						,					lowerCamelCase_  )
				print("Essential Prime Implicants are:"  )
				print(lowerCamelCase_  )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()
