



from __future__ import annotations

from collections.abc import Sequence
from typing import Literal







def       lowerCAmelCase_     (lowerCAmelCase__:						str						,		lowerCAmelCase__:						List[str]   ):





			"""simple docstring"""


			UpperCAmelCase_:						Optional[Any]					=			list(_snake_case   )
			UpperCAmelCase_:						Union[str, Any]					=			list(_snake_case   )
			UpperCAmelCase_:						List[Any]					=			0
			for i in range(len(_snake_case   )   ):
						if lista[i] != lista[i]:
									count += 1
									UpperCAmelCase_:						Any					=			"""_"""
			if count > 1:
						return False
			else:
						return "".join(_snake_case   )







def       lowerCAmelCase_     (lowerCAmelCase__:						Tuple   ):





			"""simple docstring"""


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







def       lowerCAmelCase_     (lowerCAmelCase__:						Tuple						,		lowerCAmelCase__:						Any   ):





			"""simple docstring"""


			UpperCAmelCase_:						Tuple					=			[]
			for minterm in minterms:
						UpperCAmelCase_:						Optional[int]					=			""""""
						for _ in range(_snake_case   ):
									UpperCAmelCase_:						Union[str, Any]					=			str(minterm % 2   ) + string
									minterm //= 2
						temp.append(_snake_case   )
			return temp







def       lowerCAmelCase_     (lowerCAmelCase__:						Tuple						,		lowerCAmelCase__:						List[str]						,		lowerCAmelCase__:						List[str]   ):





			"""simple docstring"""


			UpperCAmelCase_:						str					=			list(_snake_case   )
			UpperCAmelCase_:						Union[str, Any]					=			list(_snake_case   )
			UpperCAmelCase_:						str					=			0
			for i in range(len(_snake_case   )   ):
						if lista[i] != lista[i]:
									count_n += 1
			return count_n == count







def       lowerCAmelCase_     (lowerCAmelCase__:						int						,		lowerCAmelCase__:						Dict   ):





			"""simple docstring"""


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







def       lowerCAmelCase_     (lowerCAmelCase__:						Tuple						,		lowerCAmelCase__:						List[str]   ):





			"""simple docstring"""


			UpperCAmelCase_:						Tuple					=			[[0 for x in range(len(_snake_case   )   )] for x in range(len(_snake_case   )   )]
			for i in range(len(_snake_case   )   ):
						UpperCAmelCase_:						Optional[int]					=			prime_implicants[i].count("""_"""   )
						for j in range(len(_snake_case   )   ):
									if is_for_table(prime_implicants[i]						,		binary[j]						,		_snake_case   ):
												UpperCAmelCase_:						Tuple					=			1

			return chart







def       lowerCAmelCase_     ():





			"""simple docstring"""


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

			UpperCAmelCase_:						str					=			check(_snake_case   )
			print("""Prime Implicants are:"""   )
			print(_snake_case   )
			UpperCAmelCase_:						Optional[Any]					=			prime_implicant_chart(_snake_case						,		_snake_case   )

			UpperCAmelCase_:						Tuple					=			selection(_snake_case						,		_snake_case   )
			print("""Essential Prime Implicants are:"""   )
			print(_snake_case   )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()








"""simple docstring"""




def lowercase_  (   _snake_case   ,_snake_case						):

							if not (isinstance(_snake_case   ,_snake_case						) and isinstance(_snake_case   ,_snake_case						)):
														raise ValueError("""longest_common_substring() takes two strings for inputs"""						)

							SCREAMING_SNAKE_CASE__						:       Optional[Any]           =   len(_snake_case						)
							SCREAMING_SNAKE_CASE__						:       int           =   len(_snake_case						)

							SCREAMING_SNAKE_CASE__						:       Dict           =   [[0] * (texta_length + 1) for _ in range(texta_length + 1						)]
							SCREAMING_SNAKE_CASE__						:       List[Any]           =   0
							SCREAMING_SNAKE_CASE__						:       Union[str, Any]           =   0

							for i in range(1   ,texta_length + 1						):
														for j in range(1   ,texta_length + 1						):
																					if texta[i - 1] == texta[j - 1]:
																												SCREAMING_SNAKE_CASE__						:       int           =   1 + dp[i - 1][j - 1]
																												if dp[i][j] > ans_length:
																																			SCREAMING_SNAKE_CASE__						:       List[Any]           =   i
																																			SCREAMING_SNAKE_CASE__						:       List[str]           =   dp[i][j]

							return texta[ans_index - ans_length : ans_index]


if __name__ == "__main__":
					import doctest

					doctest.testmod()




