from __future__ import annotations

from collections.abc import Sequence
from typing import Literal






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






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






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






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






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






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

       return chart






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

       _A        =  check(snake_case__)
       print("""Prime Implicants are:""")
       print(snake_case__)
       _A        =  prime_implicant_chart(snake_case__   ,	snake_case__)

       _A        =  selection(snake_case__   ,	snake_case__)
       print("""Essential Prime Implicants are:""")
       print(snake_case__)


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()





from math import isqrt






def  snake_case  (       snake_case__			:int)						->   bool:
       return all(number % divisor != 0 for divisor in range(2   ,	isqrt(snake_case__) + 1))






def  snake_case  (       snake_case__			:int = 10**6)						->   int:
       _A        =  0
       _A        =  1
       _A        =  7
       while prime_candidate < max_prime:
              primes_count += is_prime(snake_case__)

              cube_index += 1
              prime_candidate += 6 * cube_index

       return primes_count


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




