



"""simple docstring"""
from __future__ import annotations

from collections.abc import Sequence
from typing import Literal

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

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

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

def       _snake_case						(						UpperCamelCase						:		str			,		UpperCamelCase						:		str			,		UpperCamelCase						:		int						):
 UpperCAmelCase	:					Tuple	=	list(lowerCAmelCase_						)
 UpperCAmelCase	:					Optional[int]	=	list(lowerCAmelCase_						)
 UpperCAmelCase	:					Optional[int]	=	0
 for i in range(len(lowerCAmelCase_						)						):
  if lista[i] != lista[i]:
   count_n += 1
 return count_n == count

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

def       _snake_case						(						UpperCamelCase						:		list[str]			,		UpperCamelCase						:		list[str]						):
 UpperCAmelCase	:					str	=	[[0 for x in range(len(lowerCAmelCase_						)						)] for x in range(len(lowerCAmelCase_						)						)]
 for i in range(len(lowerCAmelCase_						)						):
  UpperCAmelCase	:					Tuple	=	prime_implicants[i].count("""_"""						)
  for j in range(len(lowerCAmelCase_						)						):
   if is_for_table(prime_implicants[i]			,		binary[j]			,		lowerCAmelCase_						):
    UpperCAmelCase	:					Optional[Any]	=	1

 return chart

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

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

 UpperCAmelCase	:					str	=	selection(lowerCAmelCase_			,		lowerCAmelCase_						)
 print("""Essential Prime Implicants are:"""						)
 print(lowerCAmelCase_						)


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      main()







from __future__ import annotations

import string
from itertools import cycle, product
from pathlib import Path

_snake_case  :    str						    =  (
    string.ascii_letters + string.digits + string.punctuation + string.whitespace
)
_snake_case  :    list[int]						    =  [ord(letter) for letter in string.ascii_lowercase]
_snake_case  :    set[int]						    =  {ord(char) for char in VALID_CHARS}

_snake_case  :    list[str]						    =  ["the", "be", "to", "of", "and", "in", "that", "have"]

def   a_    ( lowerCAmelCase_      :			list[int],	lowerCAmelCase_      :			tuple[int, ...]	):
   __lowerCAmelCase								=	""
   __lowerCAmelCase								=	42
   __lowerCAmelCase								=	42
   __lowerCAmelCase								=	42

   for keychar, cipherchar in zip(cycle(lowerCAmelCase_	),	lowerCAmelCase_	):
      __lowerCAmelCase								=	cipherchar ^ keychar
      if decodedchar not in VALID_INTS:
         return None
      decoded += chr(lowerCAmelCase_	)

   return decoded

def   a_    ( lowerCAmelCase_      :			list[int]	):
   __lowerCAmelCase								=	[]
   for key in product(lowerCAmelCase_,	repeat=3	):
      __lowerCAmelCase								=	try_key(lowerCAmelCase_,	lowerCAmelCase_	)
      if encoded is not None:
         possibles.append(lowerCAmelCase_	)
   return possibles

def   a_    ( lowerCAmelCase_      :			list[str],	lowerCAmelCase_      :			str	):
   return [possible for possible in possibles if common_word in possible.lower()]

def   a_    ( lowerCAmelCase_      :			str = "p059_cipher.txt"	):
   __lowerCAmelCase								=	42
   __lowerCAmelCase								=	42
   __lowerCAmelCase								=	42
   __lowerCAmelCase								=	42
   __lowerCAmelCase								=	Path(lowerCAmelCase_	).parent.joinpath(lowerCAmelCase_	).read_text(encoding='utf-8'	)

   __lowerCAmelCase								=	[int(lowerCAmelCase_	) for number in data.strip().split(','	)]

   __lowerCAmelCase								=	filter_valid_chars(lowerCAmelCase_	)
   for common_word in COMMON_WORDS:
      __lowerCAmelCase								=	filter_common_word(lowerCAmelCase_,	lowerCAmelCase_	)
      if len(lowerCAmelCase_	) == 1:
         break

   __lowerCAmelCase								=	possibles[0]
   return sum(ord(lowerCAmelCase_	) for char in decoded_text	)


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

