



"""simple docstring"""

from __future__ import annotations

from collections.abc import Sequence
from typing import Literal







def 				SCREAMING_SNAKE_CASE__   (		SCREAMING_SNAKE_CASE__			:	str					,     SCREAMING_SNAKE_CASE__			:	str      ):



					"""simple docstring"""





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







def 				SCREAMING_SNAKE_CASE__   (		SCREAMING_SNAKE_CASE__			:	list[str]      ):



					"""simple docstring"""





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







def 				SCREAMING_SNAKE_CASE__   (		SCREAMING_SNAKE_CASE__			:	int					,     SCREAMING_SNAKE_CASE__			:	Sequence[float]      ):



					"""simple docstring"""





					snake_case_       :		List[str]			       =       []
					for minterm in minterms:
										snake_case_       :		Union[str, Any]			       =       """"""
										for _ in range(snake_case__      ):
															snake_case_       :		Union[str, Any]			       =       str(minterm % 2      ) + string
															minterm //= 2
										temp.append(snake_case__      )
					return temp







def 				SCREAMING_SNAKE_CASE__   (		SCREAMING_SNAKE_CASE__			:	str					,     SCREAMING_SNAKE_CASE__			:	str					,     SCREAMING_SNAKE_CASE__			:	int      ):



					"""simple docstring"""





					snake_case_       :		Tuple			       =       list(snake_case__      )
					snake_case_       :		List[str]			       =       list(snake_case__      )
					snake_case_       :		List[str]			       =       0
					for i in range(len(snake_case__      )      ):
										if lista[i] != lista[i]:
															count_n += 1
					return count_n == count







def 				SCREAMING_SNAKE_CASE__   (		SCREAMING_SNAKE_CASE__			:	list[list[int]]					,     SCREAMING_SNAKE_CASE__			:	list[str]      ):



					"""simple docstring"""





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







def 				SCREAMING_SNAKE_CASE__   (		SCREAMING_SNAKE_CASE__			:	list[str]					,     SCREAMING_SNAKE_CASE__			:	list[str]      ):



					"""simple docstring"""





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

					return chart







def 				SCREAMING_SNAKE_CASE__   (		):



					"""simple docstring"""





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

					snake_case_       :		int			       =       check(snake_case__      )
					print("""Prime Implicants are:"""      )
					print(snake_case__      )
					snake_case_       :		Dict			       =       prime_implicant_chart(snake_case__					,     snake_case__      )

					snake_case_       :		List[Any]			       =       selection(snake_case__					,     snake_case__      )
					print("""Essential Prime Implicants are:"""      )
					print(snake_case__      )


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			main()






import os

# Precomputes a list of the 100 first triangular numbers
__a         =   [int(0.5 * n * (n + 1)) for n in range(1, 1_0_1)]




def 							a		(				):


				'''simple docstring'''
				lowercase_	    =   os.path.dirname(os.path.realpath(snake_case__   )   )
				lowercase_	    =   os.path.join(snake_case__		,  '''words.txt'''   )

				lowercase_	    =   ''''''
				with open(snake_case__   ) as f:
								lowercase_	    =   f.readline()

				lowercase_	    =   [word.strip('''"'''   ) for word in words.strip('''\r\n'''   ).split(''','''   )]
				lowercase_	    =   [
				    word
				    for word in [sum(ord(snake_case__   ) - 64 for x in word   ) for word in words]
				    if word in TRIANGULAR_NUMBERS
				]
				return len(snake_case__   )


if __name__ == "__main__":
						print(solution())




