


from __future__ import annotations

lowercase_	   =     []
def 				UpperCamelCase__					(  SCREAMING_SNAKE_CASE__      ,	SCREAMING_SNAKE_CASE__      ,	SCREAMING_SNAKE_CASE__						):
 for i in range(len(SCREAMING_SNAKE_CASE__						)						):
  if board[row][i] == 1:
   return False
 for i in range(len(SCREAMING_SNAKE_CASE__						)						):
  if board[i][column] == 1:
   return False
 for i, j in zip(range(SCREAMING_SNAKE_CASE__      ,	-1      ,	-1						)      ,	range(SCREAMING_SNAKE_CASE__      ,	-1      ,	-1						)						):
  if board[i][j] == 1:
   return False
 for i, j in zip(range(SCREAMING_SNAKE_CASE__      ,	-1      ,	-1						)      ,	range(SCREAMING_SNAKE_CASE__      ,	len(SCREAMING_SNAKE_CASE__						)						)						):
  if board[i][j] == 1:
   return False
 return True
def 				UpperCamelCase__					(  SCREAMING_SNAKE_CASE__      ,	SCREAMING_SNAKE_CASE__						):
 if row >= len(SCREAMING_SNAKE_CASE__						):
  solution.append(SCREAMING_SNAKE_CASE__						)
  printboard(SCREAMING_SNAKE_CASE__						)
  print()
  return True
 for i in range(len(SCREAMING_SNAKE_CASE__						)						):
  if is_safe(SCREAMING_SNAKE_CASE__      ,	SCREAMING_SNAKE_CASE__      ,	SCREAMING_SNAKE_CASE__						):
   __lowerCamelCase		:							Dict		 =						1
   solve(SCREAMING_SNAKE_CASE__      ,	row + 1						)
   __lowerCamelCase		:							int		 =						0
 return False
def 				UpperCamelCase__					(  SCREAMING_SNAKE_CASE__						):
 for i in range(len(SCREAMING_SNAKE_CASE__						)						):
  for j in range(len(SCREAMING_SNAKE_CASE__						)						):
   if board[i][j] == 1:
    print('Q'      ,	end=' '						)
   else:
    print('.'      ,	end=' '						)
  print()


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



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





def 				UpperCamelCase__					(  SCREAMING_SNAKE_CASE__      ,	SCREAMING_SNAKE_CASE__						):
 __lowerCamelCase		:							Union[str, Any]		 =						len(SCREAMING_SNAKE_CASE__						)
 __lowerCamelCase		:							Any		 =						[[False] * (required_sum + 1) for _ in range(arr_len + 1						)]

 # for each arr value, a sum of zero(0) can be formed by not taking any element
 # hence True/1
 for i in range(arr_len + 1						):
  __lowerCamelCase		:							Dict		 =						True

 # sum is not zero and set is empty then false
 for i in range(1      ,	required_sum + 1						):
  __lowerCamelCase		:							Union[str, Any]		 =						False

 for i in range(1      ,	arr_len + 1						):
  for j in range(1      ,	required_sum + 1						):
   if arr[i - 1] > j:
    __lowerCamelCase		:							Tuple		 =						subset[i - 1][j]
   if arr[i - 1] <= j:
    __lowerCamelCase		:							List[Any]		 =						subset[i - 1][j] or subset[i - 1][j - arr[i - 1]]

 return subset[arr_len][required_sum]


if __name__ == "__main__":
       import doctest

       doctest.testmod()

