





def  SCREAMING_SNAKE_CASE				(      snake_case							)		->    float:
		return 10 - x * x



def  SCREAMING_SNAKE_CASE				(      snake_case						,   snake_case							)		->    float:
		# Bolzano theory in order to find if there is a root between a and b
		if equation(snake_case							) * equation(snake_case							) >= 0:
				raise ValueError('Wrong space!'							)

		__lowercase											=     a
		while (b - a) >= 0.01:
				# Find middle point
				__lowercase											=     (a + b) / 2
				# Check if middle point is root
				if equation(snake_case							) == 0.0:
						break
				# Decide the side to repeat the steps
				if equation(snake_case							) * equation(snake_case							) < 0:
						__lowercase											=     c
				else:
						__lowercase											=     c
		return c


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		print(bisection(-2, 5))
		print(bisection(0, 6))











from __future__ import annotations



def  SCREAMING_SNAKE_CASE				(      snake_case						,   snake_case							)		->    list[tuple[int, int]]:
		__lowercase						,      __lowercase											=     position
		__lowercase											=     [
		    (y + 1, x + 2),
		    (y - 1, x + 2),
		    (y + 1, x - 2),
		    (y - 1, x - 2),
		    (y + 2, x + 1),
		    (y + 2, x - 1),
		    (y - 2, x + 1),
		    (y - 2, x - 1),
		]
		__lowercase											=     []

		for position in positions:
				__lowercase						,      __lowercase											=     position
				if 0 <= y_test < n and 0 <= x_test < n:
						permissible_positions.append(snake_case							)

		return permissible_positions



def  SCREAMING_SNAKE_CASE				(      snake_case							)		->    bool:
		return not any(elem == 0 for row in board for elem in row							)



def  SCREAMING_SNAKE_CASE				(      snake_case						,   snake_case						,   snake_case							)		->    bool:

		if is_complete(snake_case							):
				return True

		for position in get_valid_pos(snake_case						,   len(snake_case							)							):
				__lowercase						,      __lowercase											=     position

				if board[y][x] == 0:
						__lowercase											=     curr + 1
						if open_knight_tour_helper(snake_case						,   snake_case						,   curr + 1							):
								return True
						__lowercase											=     0

		return False



def  SCREAMING_SNAKE_CASE				(      snake_case							)		->    list[list[int]]:
		__lowercase											=     [[0 for i in range(snake_case							)] for j in range(snake_case							)]

		for i in range(snake_case							):
				for j in range(snake_case							):
						__lowercase											=     1
						if open_knight_tour_helper(snake_case						,   (i, j)						,   1							):
								return board
						__lowercase											=     0

		__lowercase											=     F"Open Kight Tour cannot be performed on a board of size {n}"
		raise ValueError(snake_case							)


if __name__ == "__main__":
		import doctest

		doctest.testmod()




