
'''simple docstring'''
from __future__ import annotations

lowerCAmelCase					:    Optional[Any]           = []







def 		A_(     A						:		List[Any]		,     A						:		Dict		,     A						:		List[str]):
							for i in range(len(__lowerCamelCase)):
														if board[row][i] == 1:
																					return False
							for i in range(len(__lowerCamelCase)):
														if board[i][column] == 1:
																					return False
							for i, j in zip(range(__lowerCamelCase		,     -1		,     -1)		,     range(__lowerCamelCase		,     -1		,     -1)):
														if board[i][j] == 1:
																					return False
							for i, j in zip(range(__lowerCamelCase		,     -1		,     -1)		,     range(__lowerCamelCase		,     len(__lowerCamelCase))):
														if board[i][j] == 1:
																					return False
							return True







def 		A_(     A						:		Dict		,     A						:		int):
							if row >= len(__lowerCamelCase):
														solution.append(__lowerCamelCase)
														printboard(__lowerCamelCase)
														print()
														return True
							for i in range(len(__lowerCamelCase)):
														if is_safe(__lowerCamelCase		,     __lowerCamelCase		,     __lowerCamelCase):
																					UpperCamelCase   			=     1
																					solve(__lowerCamelCase		,     row + 1)
																					UpperCamelCase   			=     0
							return False







def 		A_(     A						:		List[str]):
							for i in range(len(__lowerCamelCase)):
														for j in range(len(__lowerCamelCase)):
																					if board[i][j] == 1:
																												print('Q'		,     end=' ')
																					else:
																												print('.'		,     end=' ')
														print()


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





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










from math import factorial, radians





def 						__A						(      __lowerCamelCase				,     __lowerCamelCase = 18				,     __lowerCamelCase = 10       ) ->			float:
	a									=				angle_in_degrees - ((angle_in_degrees // 360.0) * 360.0)

	# Converting from degrees to radians
	a									=				radians(__lowerCamelCase       )

	a									=				angle_in_radians
	a									=				3
	a									=				-1

	for _ in range(__lowerCamelCase       ):
		result += (b * (angle_in_radians**a)) / factorial(__lowerCamelCase       )

		a									=				-b  # One positive term and the next will be negative and so on...
		a += 2  # Increased by 2 for every term.

	return round(__lowerCamelCase				,     __lowerCamelCase       )


if __name__ == "__main__":
		__import__("doctest").testmod()

