"""simple docstring"""



from __future__ import annotations

from collections.abc import Sequence
from typing import Literal

def  _A(		lowerCAmelCase			,  lowerCAmelCase							):
							A__       :     Any								=			list(UpperCamelCase_							)
							A__       :     Optional[int]								=			list(UpperCamelCase_							)
							A__       :     str								=			0
							for i in range(len(UpperCamelCase_							)							):
														if lista[i] != lista[i]:
																					count += 1
																					A__       :     Union[str, Any]								=			'''_'''
							if count > 1:
														return False
							else:
														return "".join(UpperCamelCase_							)

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

def  _A(		lowerCAmelCase			,  lowerCAmelCase							):
							A__       :     int								=			[]
							for minterm in minterms:
														A__       :     int								=			''''''
														for _ in range(UpperCamelCase_							):
																					A__       :     Optional[int]								=			str(minterm % 2							) + string
																					minterm //= 2
														temp.append(UpperCamelCase_							)
							return temp

def  _A(		lowerCAmelCase			,  lowerCAmelCase			,  lowerCAmelCase							):
							A__       :     Dict								=			list(UpperCamelCase_							)
							A__       :     str								=			list(UpperCamelCase_							)
							A__       :     str								=			0
							for i in range(len(UpperCamelCase_							)							):
														if lista[i] != lista[i]:
																					count_n += 1
							return count_n == count

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

def  _A(		lowerCAmelCase			,  lowerCAmelCase							):
							A__       :     List[str]								=			[[0 for x in range(len(UpperCamelCase_							)							)] for x in range(len(UpperCamelCase_							)							)]
							for i in range(len(UpperCamelCase_							)							):
														A__       :     Tuple								=			prime_implicants[i].count("""_"""							)
														for j in range(len(UpperCamelCase_							)							):
																					if is_for_table(prime_implicants[i]			,  binary[j]			,  UpperCamelCase_							):
																												A__       :     List[str]								=			1

							return chart

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

							A__       :     Optional[Any]								=			check(UpperCamelCase_							)
							print("""Prime Implicants are:"""							)
							print(UpperCamelCase_							)
							A__       :     Optional[int]								=			prime_implicant_chart(UpperCamelCase_			,  UpperCamelCase_							)

							A__       :     Dict								=			selection(UpperCamelCase_			,  UpperCamelCase_							)
							print("""Essential Prime Implicants are:"""							)
							print(UpperCamelCase_							)


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				main()









'''simple docstring'''





from ..utils import DummyObject, requires_backends




class 				UpperCAmelCase			(			metaclass=_snake_case						):
 UpperCAmelCase				=					["speech"]


 def __init__(      self							:	List[Any]			,       *__lowerCamelCase							:	List[Any]			,       **__lowerCamelCase							:	List[str] ):
    requires_backends(self			,       ['''speech'''] )




class 				UpperCAmelCase			(			metaclass=_snake_case						):
 UpperCAmelCase				=					["speech"]


 def __init__(      self							:	int			,       *__lowerCamelCase							:	List[Any]			,       **__lowerCamelCase							:	List[str] ):
    requires_backends(self			,       ['''speech'''] )



