




from __future__ import annotations

from collections.abc import Sequence
from typing import Literal




def        _SCREAMING_SNAKE_CASE      (		snake_case			,     snake_case       )						->				str | Literal[False]:
      _UpperCAmelCase      =			list(snake_case       )
      _UpperCAmelCase      =			list(snake_case       )
      _UpperCAmelCase      =			0
      for i in range(len(snake_case       )       ):
            if lista[i] != lista[i]:
                  count += 1
                  _UpperCAmelCase      =			"""_"""
      if count > 1:
            return False
      else:
            return "".join(snake_case       )




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




def        _SCREAMING_SNAKE_CASE      (		snake_case			,     snake_case       )						->				list[str]:
      _UpperCAmelCase      =			[]
      for minterm in minterms:
            _UpperCAmelCase      =			""""""
            for _ in range(snake_case       ):
                  _UpperCAmelCase      =			str(minterm % 2       ) + string
                  minterm //= 2
            temp.append(snake_case       )
      return temp




def        _SCREAMING_SNAKE_CASE      (		snake_case			,     snake_case			,     snake_case       )						->				bool:
      _UpperCAmelCase      =			list(snake_case       )
      _UpperCAmelCase      =			list(snake_case       )
      _UpperCAmelCase      =			0
      for i in range(len(snake_case       )       ):
            if lista[i] != lista[i]:
                  count_n += 1
      return count_n == count




def        _SCREAMING_SNAKE_CASE      (		snake_case			,     snake_case       )						->				list[str]:
      _UpperCAmelCase      =			[]
      _UpperCAmelCase      =			[0] * len(snake_case       )
      for i in range(len(chart[0]       )       ):
            _UpperCAmelCase      =			0
            _UpperCAmelCase      =			-1
            for j in range(len(snake_case       )       ):
                  if chart[j][i] == 1:
                        count += 1
                        _UpperCAmelCase      =			j
            if count == 1:
                  _UpperCAmelCase      =			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      =			0
                  temp.append(prime_implicants[i]       )
      while True:
            _UpperCAmelCase      =			0
            _UpperCAmelCase      =			-1
            _UpperCAmelCase      =			0
            for i in range(len(snake_case       )       ):
                  _UpperCAmelCase      =			chart[i].count(1       )
                  if count_n > max_n:
                        _UpperCAmelCase      =			count_n
                        _UpperCAmelCase      =			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      =			0




def        _SCREAMING_SNAKE_CASE      (		snake_case			,     snake_case       )						->				list[list[int]]:
      _UpperCAmelCase      =			[[0 for x in range(len(snake_case       )       )] for x in range(len(snake_case       )       )]
      for i in range(len(snake_case       )       ):
            _UpperCAmelCase      =			prime_implicants[i].count("""_"""       )
            for j in range(len(snake_case       )       ):
                  if is_for_table(prime_implicants[i]			,     binary[j]			,     snake_case       ):
                        _UpperCAmelCase      =			1

      return chart




def        _SCREAMING_SNAKE_CASE      (		)						->				None:
      _UpperCAmelCase      =			int(input("""Enter the no. of variables\n"""       )       )
      _UpperCAmelCase      =			[
          float(snake_case       )
          for x in input(
              """Enter the decimal representation of Minterms 'Spaces Separated'\n"""       ).split()
      ]
      _UpperCAmelCase      =			decimal_to_binary(snake_case			,     snake_case       )

      _UpperCAmelCase      =			check(snake_case       )
      print("""Prime Implicants are:"""       )
      print(snake_case       )
      _UpperCAmelCase      =			prime_implicant_chart(snake_case			,     snake_case       )

      _UpperCAmelCase      =			selection(snake_case			,     snake_case       )
      print("""Essential Prime Implicants are:"""       )
      print(snake_case       )


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()





import itertools
import string
from collections.abc import Generator, Iterable




def        _SCREAMING_SNAKE_CASE      (		snake_case			,     snake_case       )						->				Generator[tuple[str, ...], None, None]:
						_UpperCAmelCase      =			iter(snake_case       )
						while True:
												_UpperCAmelCase      =			tuple(itertools.islice(snake_case			,     snake_case       )       )
												if not chunk:
																		return
												yield chunk




def        _SCREAMING_SNAKE_CASE      (		snake_case       )						->				str:
						_UpperCAmelCase      =			"""""".join([c.upper() for c in dirty if c in string.ascii_letters]       )
						_UpperCAmelCase      =			""""""

						if len(snake_case       ) < 2:
												return dirty

						for i in range(len(snake_case       ) - 1       ):
												clean += dirty[i]

												if dirty[i] == dirty[i + 1]:
																		clean += "X"

						clean += dirty[-1]

						if len(snake_case       ) & 1:
												clean += "X"

						return clean




def        _SCREAMING_SNAKE_CASE      (		snake_case       )						->				list[str]:
						# I and J are used interchangeably to allow
						# us to use a 5x5 table (25 letters)
						_UpperCAmelCase      =			"""ABCDEFGHIKLMNOPQRSTUVWXYZ"""
						# we're using a list instead of a '2d' array because it makes the math
						# for setting up the table and doing the actual encoding/decoding simpler
						_UpperCAmelCase      =			[]

						# copy key chars into the table if they are in `alphabet` ignoring duplicates
						for char in key.upper():
												if char not in table and char in alphabet:
																		table.append(snake_case       )

    # fill the rest of the table in with the remaining alphabet chars
						for char in alphabet:
												if char not in table:
																		table.append(snake_case       )

						return table




def        _SCREAMING_SNAKE_CASE      (		snake_case			,     snake_case       )						->				str:
						_UpperCAmelCase      =			generate_table(snake_case       )
						_UpperCAmelCase      =			prepare_input(snake_case       )
						_UpperCAmelCase      =			""""""

						# https://en.wikipedia.org/wiki/Playfair_cipher#Description
						for chara, chara in chunker(snake_case			,     2       ):
												_UpperCAmelCase    ,					_UpperCAmelCase      =			divmod(table.index(snake_case       )			,     5       )
												_UpperCAmelCase    ,					_UpperCAmelCase      =			divmod(table.index(snake_case       )			,     5       )

												if rowa == rowa:
																		ciphertext += table[rowa * 5 + (cola + 1) % 5]
																		ciphertext += table[rowa * 5 + (cola + 1) % 5]
												elif cola == cola:
																		ciphertext += table[((rowa + 1) % 5) * 5 + cola]
																		ciphertext += table[((rowa + 1) % 5) * 5 + cola]
												else:  # rectangle
																		ciphertext += table[rowa * 5 + cola]
																		ciphertext += table[rowa * 5 + cola]

						return ciphertext




def        _SCREAMING_SNAKE_CASE      (		snake_case			,     snake_case       )						->				str:
						_UpperCAmelCase      =			generate_table(snake_case       )
						_UpperCAmelCase      =			""""""

						# https://en.wikipedia.org/wiki/Playfair_cipher#Description
						for chara, chara in chunker(snake_case			,     2       ):
												_UpperCAmelCase    ,					_UpperCAmelCase      =			divmod(table.index(snake_case       )			,     5       )
												_UpperCAmelCase    ,					_UpperCAmelCase      =			divmod(table.index(snake_case       )			,     5       )

												if rowa == rowa:
																		plaintext += table[rowa * 5 + (cola - 1) % 5]
																		plaintext += table[rowa * 5 + (cola - 1) % 5]
												elif cola == cola:
																		plaintext += table[((rowa - 1) % 5) * 5 + cola]
																		plaintext += table[((rowa - 1) % 5) * 5 + cola]
												else:  # rectangle
																		plaintext += table[rowa * 5 + cola]
																		plaintext += table[rowa * 5 + cola]

						return plaintext