
'''simple docstring'''







from __future__ import annotations

from collections.abc import Sequence
from typing import Literal







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







def        SCREAMING_SNAKE_CASE__			(     __A			) ->			Any:
	_snake_case     		=	[]
	while True:
		_snake_case     		=	['$'] * len(lowerCAmelCase__			)
		_snake_case     		=	[]
		for i in range(len(lowerCAmelCase__			)			):
			for j in range(i + 1    ,       len(lowerCAmelCase__			)			):
				_snake_case     		=	compare_string(binary[i]    ,       binary[j]			)
				if k is False:
					_snake_case     		=	'*'
					_snake_case     		=	'*'
					temp.append('X'			)
		for i in range(len(lowerCAmelCase__			)			):
			if checka[i] == "$":
				pi.append(binary[i]			)
		if len(lowerCAmelCase__			) == 0:
			return pi
		_snake_case     		=	list(set(lowerCAmelCase__			)			)







def        SCREAMING_SNAKE_CASE__			(     __A    ,       __A			) ->			int:
	_snake_case     		=	[]
	for minterm in minterms:
		_snake_case     		=	''
		for _ in range(lowerCAmelCase__			):
			_snake_case     		=	str(minterm % 2			) + string
			minterm //= 2
		temp.append(lowerCAmelCase__			)
	return temp







def        SCREAMING_SNAKE_CASE__			(     __A    ,       __A    ,       __A			) ->			Optional[int]:
	_snake_case     		=	list(lowerCAmelCase__			)
	_snake_case     		=	list(lowerCAmelCase__			)
	_snake_case     		=	0
	for i in range(len(lowerCAmelCase__			)			):
		if lista[i] != lista[i]:
			count_n += 1
	return count_n == count







def        SCREAMING_SNAKE_CASE__			(     __A    ,       __A			) ->			List[Any]:
	_snake_case     		=	[]
	_snake_case     		=	[0] * len(lowerCAmelCase__			)
	for i in range(len(chart[0]			)			):
		_snake_case     		=	0
		_snake_case     		=	-1
		for j in range(len(lowerCAmelCase__			)			):
			if chart[j][i] == 1:
				count += 1
				_snake_case     		=	j
		if count == 1:
			_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__			)			):
						_snake_case     		=	0
			temp.append(prime_implicants[i]			)
	while True:
		_snake_case     		=	0
		_snake_case     		=	-1
		_snake_case     		=	0
		for i in range(len(lowerCAmelCase__			)			):
			_snake_case     		=	chart[i].count(1			)
			if count_n > max_n:
				_snake_case     		=	count_n
				_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__			)			):
					_snake_case     		=	0







def        SCREAMING_SNAKE_CASE__			(     __A    ,       __A			) ->			Any:
	_snake_case     		=	[[0 for x in range(len(lowerCAmelCase__			)			)] for x in range(len(lowerCAmelCase__			)			)]
	for i in range(len(lowerCAmelCase__			)			):
		_snake_case     		=	prime_implicants[i].count('_'			)
		for j in range(len(lowerCAmelCase__			)			):
			if is_for_table(prime_implicants[i]    ,       binary[j]    ,       lowerCAmelCase__			):
				_snake_case     		=	1

	return chart







def        SCREAMING_SNAKE_CASE__			(     ) ->			Union[str, Any]:
	_snake_case     		=	int(input('Enter the no. of variables\n'			)			)
	_snake_case     		=	[
	    float(lowerCAmelCase__			)
	    for x in input(
	        'Enter the decimal representation of Minterms \'Spaces Separated\'\n'			).split()
	]
	_snake_case     		=	decimal_to_binary(lowerCAmelCase__    ,       lowerCAmelCase__			)

	_snake_case     		=	check(lowerCAmelCase__			)
	print('Prime Implicants are:'			)
	print(lowerCAmelCase__			)
	_snake_case     		=	prime_implicant_chart(lowerCAmelCase__    ,       lowerCAmelCase__			)

	_snake_case     		=	selection(lowerCAmelCase__    ,       lowerCAmelCase__			)
	print('Essential Prime Implicants are:'			)
	print(lowerCAmelCase__			)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()



'''simple docstring'''







from abc import ABC, abstractmethod
from argparse import ArgumentParser


class 		__UpperCAmelCase   (      _lowerCamelCase		):


							@staticmethod
							@abstractmethod
							def 				lowerCamelCase       ( lowerCAmelCase_						):





								"""simple docstring"""






								raise NotImplementedError()




							@abstractmethod
							def 				lowerCamelCase       ( self						):





								"""simple docstring"""






								raise NotImplementedError()

