


from __future__ import annotations

_snake_case  :	int			      =       []







def        lowerCAmelCase_  (      __lowerCamelCase							,			__lowerCamelCase							,			__lowerCamelCase			):


		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        lowerCAmelCase_  (      __lowerCamelCase							,			__lowerCamelCase			):


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







def        lowerCAmelCase_  (      __lowerCamelCase			):


		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"))
_snake_case  :	Any			      =       8
_snake_case  :	Dict			      =       [[0 for i in range(n)] for j in range(n)]
solve(board, 0)

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





import math







def        lowerCAmelCase_  (      __lowerCamelCase							,			__lowerCamelCase			):

							if initial_intensity < 0:
														raise ValueError("The value of intensity cannot be negative"			)
														# handling of negative values of initial intensity
							if angle < 0 or angle > 3_6_0:
														raise ValueError("In Malus Law, the angle is in the range 0-360 degrees"			)
														# handling of values out of allowed range
							return initial_intensity * (math.cos(math.radians(__lowerCamelCase			)			) ** 2)


if __name__ == "__main__":
			import doctest

			doctest.testmod(name="malus_law")

