





"""simple docstring"""


from __future__ import annotations

from collections.abc import Sequence
from typing import Literal

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						UpperCamelCase				:		int				   =			list(SCREAMING_SNAKE_CASE     )
						UpperCamelCase				:		Optional[Any]				   =			list(SCREAMING_SNAKE_CASE     )
						UpperCamelCase				:		Any				   =			0
						for i in range(len(SCREAMING_SNAKE_CASE     )     ):
												if lista[i] != lista[i]:
																		count += 1
																		UpperCamelCase				:		Optional[Any]				   =			"""_"""
						if count > 1:
												return False
						else:
												return "".join(SCREAMING_SNAKE_CASE     )

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

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						UpperCamelCase				:		int				   =			[]
						for minterm in minterms:
												UpperCamelCase				:		List[Any]				   =			""""""
												for _ in range(SCREAMING_SNAKE_CASE     ):
																		UpperCamelCase				:		str				   =			str(minterm % 2     ) + string
																		minterm //= 2
												temp.append(SCREAMING_SNAKE_CASE     )
						return temp

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						UpperCamelCase				:		List[str]				   =			list(SCREAMING_SNAKE_CASE     )
						UpperCamelCase				:		List[str]				   =			list(SCREAMING_SNAKE_CASE     )
						UpperCamelCase				:		Any				   =			0
						for i in range(len(SCREAMING_SNAKE_CASE     )     ):
												if lista[i] != lista[i]:
																		count_n += 1
						return count_n == count

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

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						UpperCamelCase				:		Union[str, Any]				   =			[[0 for x in range(len(SCREAMING_SNAKE_CASE     )     )] for x in range(len(SCREAMING_SNAKE_CASE     )     )]
						for i in range(len(SCREAMING_SNAKE_CASE     )     ):
												UpperCamelCase				:		Optional[int]				   =			prime_implicants[i].count("""_"""     )
												for j in range(len(SCREAMING_SNAKE_CASE     )     ):
																		if is_for_table(prime_implicants[i]							,     binary[j]							,     SCREAMING_SNAKE_CASE     ):
																								UpperCamelCase				:		Union[str, Any]				   =			1

						return chart

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

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

						UpperCamelCase				:		Dict				   =			selection(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     )
						print("""Essential Prime Implicants are:"""     )
						print(SCREAMING_SNAKE_CASE     )


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		main()




"""simple docstring"""






def      UpperCAmelCase__			(							lowerCAmelCase__	:int = 1_0**9						)					->       int:
      '''simple docstring'''


      lowercase								=      1
      lowercase								=      2

      lowercase								=      0
      lowercase								=      0
      lowercase								=      0
      while perimeter <= max_perimeter:
            perimeters_sum += perimeter

            prev_value += 2 * value
            value += prev_value

            lowercase								=      2 * value + 2 if i % 2 == 0 else 2 * value - 2
            i += 1

      return perimeters_sum


if __name__ == "__main__":
       print(F"""{solution() = }""")



