


from __future__ import annotations

A	:		Any    =       []






def 			UpperCamelCase (     __magic_name__					:							list[list[int]]   ,   __magic_name__					:							int   ,   __magic_name__					:							int					)       ->  bool:
		"""simple docstring"""




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






def 			UpperCamelCase (     __magic_name__					:							list[list[int]]   ,   __magic_name__					:							int					)       ->  bool:
		"""simple docstring"""




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






def 			UpperCamelCase (     __magic_name__					:							list[list[int]]					)       ->  None:
		"""simple docstring"""




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


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







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








from functools import lru_cache






def 			UpperCamelCase (     __magic_name__					:							int					)       ->  set:
		"""simple docstring"""




		lowercase__					      =		2
		lowercase__					      =		set()
		while i * i <= n:
				if n % i:
						i += 1
				else:
						n //= i
						factors.add(__magic_name__					)
		if n > 1:
				factors.add(__magic_name__					)
		return factors






@lru_cache
def 			UpperCamelCase (     __magic_name__					:							int					)       ->  int:
		"""simple docstring"""




		return len(unique_prime_factors(__magic_name__					)					)






def 			UpperCamelCase (     __magic_name__					:							list					)       ->  bool:
		"""simple docstring"""




		return len(set(__magic_name__					)					) in (0, 1)






def 			UpperCamelCase (     __magic_name__					:							int					)       ->  list:
		"""simple docstring"""




		lowercase__					      =		2

		while True:
				# Increment each value of a generated range
				lowercase__					      =		[base + i for i in range(__magic_name__					)]

				# Run elements through out unique_prime_factors function
				# Append our target number to the end.
				lowercase__					      =		[upf_len(__magic_name__					) for x in group]
				checker.append(__magic_name__					)

				# If all numbers in the list are equal, return the group variable.
				if equality(__magic_name__					):
						return group

				# Increment our base variable by 1
				base += 1






def 			UpperCamelCase (     __magic_name__					:							int = 4					)       ->  int:
		"""simple docstring"""




		lowercase__					      =		run(__magic_name__					)
		return results[0] if len(__magic_name__					) else None


if __name__ == "__main__":
	print(solution())

