'''simple docstring'''





from __future__ import annotations

from collections.abc import Sequence
from typing import Literal



def   __A		(			_A							,				_A					):



 """simple docstring"""


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



def   __A		(			_A					):



 """simple docstring"""


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



def   __A		(			_A							,				_A					):



 """simple docstring"""


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



def   __A		(			_A							,				_A							,				_A					):



 """simple docstring"""


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



def   __A		(			_A							,				_A					):



 """simple docstring"""


 __a       =  []
 __a       =  [0] * len(_lowerCamelCase					)
 for i in range(len(chart[0]					)					):
  __a       =  0
  __a       =  -1
  for j in range(len(_lowerCamelCase					)					):
   if chart[j][i] == 1:
    count += 1
    __a       =  j
  if count == 1:
   __a       =  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					)					):
      __a       =  0
   temp.append(prime_implicants[i]					)
 while True:
  __a       =  0
  __a       =  -1
  __a       =  0
  for i in range(len(_lowerCamelCase					)					):
   __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(_lowerCamelCase					)					):
     __a       =  0



def   __A		(			_A							,				_A					):



 """simple docstring"""


 __a       =  [[0 for x in range(len(_lowerCamelCase					)					)] for x in range(len(_lowerCamelCase					)					)]
 for i in range(len(_lowerCamelCase					)					):
  __a       =  prime_implicants[i].count("_"					)
  for j in range(len(_lowerCamelCase					)					):
   if is_for_table(prime_implicants[i]							,				binary[j]							,				_lowerCamelCase					):
    __a       =  1

 return chart



def   __A		(			):



 """simple docstring"""


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

 __a       =  check(_lowerCamelCase					)
 print("Prime Implicants are:"					)
 print(_lowerCamelCase					)
 __a       =  prime_implicant_chart(_lowerCamelCase							,				_lowerCamelCase					)

 __a       =  selection(_lowerCamelCase							,				_lowerCamelCase					)
 print("Essential Prime Implicants are:"					)
 print(_lowerCamelCase					)


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()



from __future__ import annotations

SCREAMING_SNAKE_CASE :	Optional[int]							     =		[]



def   __A		(			_A							,				_A							,				_A					):



 """simple docstring"""


 for i in range(len(_A					)					):
  if board[row][i] == 1:
   return False
 for i in range(len(_A					)					):
  if board[i][column] == 1:
   return False
 for i, j in zip(range(_A							,				-1							,				-1					)							,				range(_A							,				-1							,				-1					)					):
  if board[i][j] == 1:
   return False
 for i, j in zip(range(_A							,				-1							,				-1					)							,				range(_A							,				len(_A					)					)					):
  if board[i][j] == 1:
   return False
 return True



def   __A		(			_A							,				_A					):



 """simple docstring"""


 if row >= len(_A					):
  solution.append(_A					)
  printboard(_A					)
  print()
  return True
 for i in range(len(_A					)					):
  if is_safe(_A							,				_A							,				_A					):
   __a       =  1
   solve(_A							,				row + 1					)
   __a       =  0
 return False



def   __A		(			_A					):



 """simple docstring"""


 for i in range(len(_A					)					):
  for j in range(len(_A					)					):
   if board[i][j] == 1:
    print("Q"							,				end=" "					)
   else:
    print("."							,				end=" "					)
  print()


# n=int(input("The no. of queens"))
SCREAMING_SNAKE_CASE :	List[str]							     =		8
SCREAMING_SNAKE_CASE :	str							     =		[[0 for i in range(n)] for j in range(n)]
solve(board, 0)






print("""The total no. of solutions are :""", len(solution))


