



from __future__ import annotations

_lowercase						  =		[]



def 		lowerCAmelCase__    (					UpperCamelCase_				:       list[list[int]] ,       UpperCamelCase_				:       int ,       UpperCamelCase_				:       int	)->  Tuple:



				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 		lowerCAmelCase__    (					UpperCamelCase_				:       list[list[int]] ,       UpperCamelCase_				:       int	)->  List[str]:



				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	):
												A__		 =					1
												solve(_SCREAMING_SNAKE_CASE ,       row + 1	)
												A__		 =					0
				return False



def 		lowerCAmelCase__    (					UpperCamelCase_				:       list[list[int]]	)->  Tuple:



				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))





import numpy as np



def 		lowerCAmelCase__    (					UpperCamelCase_				:       np.array	)->  np.array:
    return 1 / (1 + np.exp(-vector	))



def 		lowerCAmelCase__    (					UpperCamelCase_				:       np.array	)->  np.array:
    return vector * sigmoid(1.702 * vector	)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
