from __future__ import annotations

from collections.abc import Sequence
from typing import Literal
def  snake_case						(__lowercase ,      __lowercase						)	->	str | Literal[False]:

						'''simple docstring'''



						_snake_case						:					Dict    =   list(__lowercase						)
						_snake_case						:					Union[str, Any]    =   list(__lowercase						)
						_snake_case						:					Optional[int]    =   0
						for i in range(len(__lowercase						)						):
												if lista[i] != lista[i]:
																		count += 1
																		_snake_case						:					Tuple    =   "_"
						if count > 1:
												return False
						else:
												return "".join(__lowercase						)
def  snake_case						(__lowercase						)	->	list[str]:

						'''simple docstring'''



						_snake_case						:					Tuple    =   []
						while True:
												_snake_case						:					Any    =   ["$"] * len(__lowercase						)
												_snake_case						:					Dict    =   []
												for i in range(len(__lowercase						)						):
																		for j in range(i + 1 ,      len(__lowercase						)						):
																								_snake_case						:					Optional[Any]    =   compare_string(binary[i] ,      binary[j]						)
																								if k is False:
																														_snake_case						:					int    =   "*"
																														_snake_case						:					int    =   "*"
																														temp.append("X"						)
												for i in range(len(__lowercase						)						):
																		if checka[i] == "$":
																								pi.append(binary[i]						)
												if len(__lowercase						) == 0:
																		return pi
												_snake_case						:					List[Any]    =   list(set(__lowercase						)						)
def  snake_case						(__lowercase ,      __lowercase						)	->	list[str]:

						'''simple docstring'''



						_snake_case						:					Optional[int]    =   []
						for minterm in minterms:
												_snake_case						:					Union[str, Any]    =   ""
												for _ in range(__lowercase						):
																		_snake_case						:					Dict    =   str(minterm % 2						) + string
																		minterm //= 2
												temp.append(__lowercase						)
						return temp
def  snake_case						(__lowercase ,      __lowercase ,      __lowercase						)	->	bool:

						'''simple docstring'''



						_snake_case						:					str    =   list(__lowercase						)
						_snake_case						:					Tuple    =   list(__lowercase						)
						_snake_case						:					List[str]    =   0
						for i in range(len(__lowercase						)						):
												if lista[i] != lista[i]:
																		count_n += 1
						return count_n == count
def  snake_case						(__lowercase ,      __lowercase						)	->	list[str]:

						'''simple docstring'''



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

						'''simple docstring'''



						_snake_case						:					Dict    =   [[0 for x in range(len(__lowercase						)						)] for x in range(len(__lowercase						)						)]
						for i in range(len(__lowercase						)						):
												_snake_case						:					List[str]    =   prime_implicants[i].count("_"						)
												for j in range(len(__lowercase						)						):
																		if is_for_table(prime_implicants[i] ,      binary[j] ,      __lowercase						):
																								_snake_case						:					List[str]    =   1

						return chart
def  snake_case						()	->	None:

						'''simple docstring'''



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

						_snake_case						:					Any    =   check(__lowercase						)
						print("Prime Implicants are:"						)
						print(__lowercase						)
						_snake_case						:					Dict    =   prime_implicant_chart(__lowercase ,      __lowercase						)

						_snake_case						:					Optional[int]    =   selection(__lowercase ,      __lowercase						)
						print("Essential Prime Implicants are:"						)
						print(__lowercase						)


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				main()
def  snake_case						(__lowercase						)	->	bool:

						'''simple docstring'''



						_snake_case						:					Dict    =   0
						for ch in input_str:
												_snake_case						:					int    =   ord(__lowercase						)
												_snake_case						:					List[Any]    =   pow(2 ,      __lowercase						)

												# If we already turned on bit for current character's unicode
												if bitmap >> ch_unicode & 1 == 1:
																		return False
												bitmap |= ch_bit_index_on
						return True


if __name__ == "__main__":
				import doctest

				doctest.testmod()