


from __future__ import annotations

from collections.abc import Sequence
from typing import Literal



def      __lowercase     (   _SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)				->     str | Literal[False]:


      '''simple docstring'''


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



def      __lowercase     (   _SCREAMING_SNAKE_CASE			)				->     list[str]:


      '''simple docstring'''


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



def      __lowercase     (   _SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)				->     list[str]:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE	=		[]
      for minterm in minterms:
            SCREAMING_SNAKE_CASE	=		""""""
            for _ in range(_SCREAMING_SNAKE_CASE			):
                  SCREAMING_SNAKE_CASE	=		str(minterm % 2			) + string
                  minterm //= 2
            temp.append(_SCREAMING_SNAKE_CASE			)
      return temp



def      __lowercase     (   _SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)				->     bool:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE	=		list(_SCREAMING_SNAKE_CASE			)
      SCREAMING_SNAKE_CASE	=		list(_SCREAMING_SNAKE_CASE			)
      SCREAMING_SNAKE_CASE	=		0
      for i in range(len(_SCREAMING_SNAKE_CASE			)			):
            if lista[i] != lista[i]:
                  count_n += 1
      return count_n == count



def      __lowercase     (   _SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)				->     list[str]:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE	=		[]
      SCREAMING_SNAKE_CASE	=		[0] * len(_SCREAMING_SNAKE_CASE			)
      for i in range(len(chart[0]			)			):
            SCREAMING_SNAKE_CASE	=		0
            SCREAMING_SNAKE_CASE	=		-1
            for j in range(len(_SCREAMING_SNAKE_CASE			)			):
                  if chart[j][i] == 1:
                        count += 1
                        SCREAMING_SNAKE_CASE	=		j
            if count == 1:
                  SCREAMING_SNAKE_CASE	=		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			)			):
                                    SCREAMING_SNAKE_CASE	=		0
                  temp.append(prime_implicants[i]			)
      while True:
            SCREAMING_SNAKE_CASE	=		0
            SCREAMING_SNAKE_CASE	=		-1
            SCREAMING_SNAKE_CASE	=		0
            for i in range(len(_SCREAMING_SNAKE_CASE			)			):
                  SCREAMING_SNAKE_CASE	=		chart[i].count(1			)
                  if count_n > max_n:
                        SCREAMING_SNAKE_CASE	=		count_n
                        SCREAMING_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(_SCREAMING_SNAKE_CASE			)			):
                              SCREAMING_SNAKE_CASE	=		0



def      __lowercase     (   _SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)				->     list[list[int]]:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE	=		[[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			)			):
            SCREAMING_SNAKE_CASE	=		prime_implicants[i].count("""_"""			)
            for j in range(len(_SCREAMING_SNAKE_CASE			)			):
                  if is_for_table(prime_implicants[i]				,		binary[j]				,		_SCREAMING_SNAKE_CASE			):
                        SCREAMING_SNAKE_CASE	=		1

      return chart



def      __lowercase     (   )				->     None:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE	=		int(input("""Enter the no. of variables\n"""			)			)
      SCREAMING_SNAKE_CASE	=		[
          float(_SCREAMING_SNAKE_CASE			)
          for x in input(
              """Enter the decimal representation of Minterms \'Spaces Separated\'\n"""			).split()
      ]
      SCREAMING_SNAKE_CASE	=		decimal_to_binary(_SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)

      SCREAMING_SNAKE_CASE	=		check(_SCREAMING_SNAKE_CASE			)
      print("""Prime Implicants are:"""			)
      print(_SCREAMING_SNAKE_CASE			)
      SCREAMING_SNAKE_CASE	=		prime_implicant_chart(_SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)

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


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      main()









def      __lowercase     (   _SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)				->     float:


      '''simple docstring'''


      def get_matched_characters(_SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			) -> str:
            SCREAMING_SNAKE_CASE	=		[]
            SCREAMING_SNAKE_CASE	=		min(len(_stra			)				,		len(_stra			)			) // 2
            for i, l in enumerate(_stra			):
                  SCREAMING_SNAKE_CASE	=		int(max(0				,		i - limit			)			)
                  SCREAMING_SNAKE_CASE	=		int(min(i + limit + 1				,		len(_stra			)			)			)
                  if l in _stra[left:right]:
                        matched.append(_SCREAMING_SNAKE_CASE			)
                        SCREAMING_SNAKE_CASE	=		F"""{_stra[0:_stra.index(_SCREAMING_SNAKE_CASE			)]} {_stra[_stra.index(_SCREAMING_SNAKE_CASE			) + 1:]}"""

            return "".join(_SCREAMING_SNAKE_CASE			)

      # matching characters
      SCREAMING_SNAKE_CASE	=		get_matched_characters(_SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)
      SCREAMING_SNAKE_CASE	=		get_matched_characters(_SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			)
      SCREAMING_SNAKE_CASE	=		len(_SCREAMING_SNAKE_CASE			)

      # transposition
      SCREAMING_SNAKE_CASE	=		(
          len([(ca, ca) for ca, ca in zip(_SCREAMING_SNAKE_CASE				,		_SCREAMING_SNAKE_CASE			) if ca != ca]			) // 2
      )

      if not match_count:
            SCREAMING_SNAKE_CASE	=		0.0
      else:
            SCREAMING_SNAKE_CASE	=		(
                1
                / 3
                * (
                    match_count / len(_SCREAMING_SNAKE_CASE			)
                    + match_count / len(_SCREAMING_SNAKE_CASE			)
                    + (match_count - transpositions) / match_count
                )
            )

      # common prefix up to 4 characters
      SCREAMING_SNAKE_CASE	=		0
      for ca, ca in zip(stra[:4]				,		stra[:4]			):
            if ca == ca:
                  prefix_len += 1
            else:
                  break

      return jaro + 0.1 * prefix_len * (1 - jaro)


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      print(jaro_winkler("""hello""", """world"""))


