





from __future__ import annotations

from collections.abc import Sequence
from typing import Literal




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




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




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




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




def     __UpperCamelCase						(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE	)       ->     list[list[int]]:
  lowercase__			    =						[[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	)	):
    lowercase__			    =						prime_implicants[i].count('_'	)
    for j in range(len(_SCREAMING_SNAKE_CASE	)	):
      if is_for_table(prime_implicants[i]	,		binary[j]	,		_SCREAMING_SNAKE_CASE	):
        lowercase__			    =						1

  return chart




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

  lowercase__			    =						check(_SCREAMING_SNAKE_CASE	)
  print('Prime Implicants are:'	)
  print(_SCREAMING_SNAKE_CASE	)
  lowercase__			    =						prime_implicant_chart(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE	)

  lowercase__			    =						selection(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE	)
  print('Essential Prime Implicants are:'	)
  print(_SCREAMING_SNAKE_CASE	)


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 main()









from string import ascii_uppercase

lowercase_					     =	{str(ord(c) - 55): c for c in ascii_uppercase}




def     __UpperCamelCase						(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE	)       ->     str:
  if isinstance(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE	):
    raise TypeError('int() can\'t convert non-string with explicit base'	)
  if num < 0:
    raise ValueError('parameter must be positive int'	)
  if isinstance(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE	):
    raise TypeError('\'str\' object cannot be interpreted as an integer'	)
  if isinstance(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE	):
    raise TypeError('\'float\' object cannot be interpreted as an integer'	)
  if base in (0, 1):
    raise ValueError('base must be >= 2'	)
  if base > 36:
    raise ValueError('base must be <= 36'	)
  lowercase__			    =						''
  lowercase__			    =						0
  lowercase__			    =						0
  while div != 1:
    lowercase__    ,					lowercase__			    =						divmod(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE	)
    if base >= 11 and 9 < mod < 36:
      lowercase__			    =						ALPHABET_VALUES[str(_SCREAMING_SNAKE_CASE	)]
    else:
      lowercase__			    =						str(_SCREAMING_SNAKE_CASE	)
    new_value += actual_value
    lowercase__			    =						num // base
    lowercase__			    =						div
    if div == 0:
      return str(new_value[::-1]	)
    elif div == 1:
      new_value += str(_SCREAMING_SNAKE_CASE	)
      return str(new_value[::-1]	)

  return new_value[::-1]


if __name__ == "__main__":
      import doctest

      doctest.testmod()

      for base in range(2, 37):
            for num in range(1_000):
                  assert int(decimal_to_any(num, base), base) == num, (
                      num,
                      base,
                      decimal_to_any(num, base),
                      int(decimal_to_any(num, base), base),
                  )


