from __future__ import annotations







def 						A__  (					__A	):







				'''simple docstring'''





				for i in range(1   , len(matrix[0]	)	):
								matrix[0][i] += matrix[0][i - 1]

				# preprocessing the first column
				for i in range(1   , len(_lowerCamelCase	)	):
								matrix[i][0] += matrix[i - 1][0]

				# updating the path cost for current position
				for i in range(1   , len(_lowerCamelCase	)	):
								for j in range(1   , len(matrix[0]	)	):
												matrix[i][j] += min(matrix[i - 1][j]   , matrix[i][j - 1]	)

				return matrix[-1][-1]


if __name__ == "__main__":
				import doctest

				doctest.testmod()





from __future__ import annotations

lowerCAmelCase			:							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	):
            _lowerCamelCase     :		int 						=						1
            solve(__A   , row + 1	)
            _lowerCamelCase     :		List[str] 						=						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"))
lowerCAmelCase			:							int     =8
lowerCAmelCase			:							Union[str, Any]     =[[0 for i in range(n)] for j in range(n)]
solve(board, 0)
print("The total no. of solutions are :", len(solution))




