

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


def  a__       (    _SCREAMING_SNAKE_CASE   :       tuple[int, int]	,				_SCREAMING_SNAKE_CASE   :       int				)     ->					list[tuple[int, int]]:


	"""simple docstring"""





	UpperCAmelCase_					,					UpperCAmelCase_     :      List[Any]						=  position
	UpperCAmelCase_     :      List[str]						=  [
	    (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),
	]
	UpperCAmelCase_     :      List[str]						=  []

	for position in positions:
		UpperCAmelCase_					,					UpperCAmelCase_     :      Any						=  position
		if 0 <= y_test < n and 0 <= x_test < n:
			permissible_positions.append(_SCREAMING_SNAKE_CASE				)

	return permissible_positions


def  a__       (    _SCREAMING_SNAKE_CASE   :       list[list[int]]				)     ->					bool:


	"""simple docstring"""





	return not any(elem == 0 for row in board for elem in row				)


def  a__       (    _SCREAMING_SNAKE_CASE   :       list[list[int]]	,				_SCREAMING_SNAKE_CASE   :       tuple[int, int]	,				_SCREAMING_SNAKE_CASE   :       int				)     ->					bool:


	"""simple docstring"""





	if is_complete(_SCREAMING_SNAKE_CASE				):
		return True

	for position in get_valid_pos(_SCREAMING_SNAKE_CASE	,				len(_SCREAMING_SNAKE_CASE				)				):
		UpperCAmelCase_					,					UpperCAmelCase_     :      List[Any]						=  position

		if board[y][x] == 0:
			UpperCAmelCase_     :      int						=  curr + 1
			if open_knight_tour_helper(_SCREAMING_SNAKE_CASE	,				_SCREAMING_SNAKE_CASE	,				curr + 1				):
				return True
			UpperCAmelCase_     :      int						=  0

	return False


def  a__       (    _SCREAMING_SNAKE_CASE   :       int				)     ->					list[list[int]]:


	"""simple docstring"""





	UpperCAmelCase_     :      str						=  [[0 for i in range(_SCREAMING_SNAKE_CASE				)] for j in range(_SCREAMING_SNAKE_CASE				)]

	for i in range(_SCREAMING_SNAKE_CASE				):
		for j in range(_SCREAMING_SNAKE_CASE				):
			UpperCAmelCase_     :      str						=  1
			if open_knight_tour_helper(_SCREAMING_SNAKE_CASE	,				(i, j)	,				1				):
				return board
			UpperCAmelCase_     :      Union[str, Any]						=  0

	UpperCAmelCase_     :      Union[str, Any]						=  F'''Open Kight Tour cannot be performed on a board of size {n}'''
	raise ValueError(_SCREAMING_SNAKE_CASE				)


if __name__ == "__main__":
					import doctest

					doctest.testmod()







"""simple docstring"""


import unittest

from knapsack import greedy_knapsack as kp





class lowerCamelCase__   (				unittest.TestCase    ):



    '''simple docstring'''




    def UpperCamelCase__		( self    )    ->      Any:
          A				  =		[1_0, 2_0, 3_0, 4_0, 5_0, 6_0]
          A				  =		[2, 4, 6, 8, 1_0, 1_2]
          A				  =		1_0_0
          self.assertEqual(kp.calc_profit(lowerCamelCase_ ,lowerCamelCase_ ,lowerCamelCase_    ) ,2_1_0    )




    def UpperCamelCase__		( self    )    ->      List[Any]:
          self.assertRaisesRegex(lowerCamelCase_ ,"""max_weight must greater than zero."""    )




    def UpperCamelCase__		( self    )    ->      Any:
          self.assertRaisesRegex(lowerCamelCase_ ,"""Weight can not be negative."""    )




    def UpperCamelCase__		( self    )    ->      str:
          self.assertRaisesRegex(lowerCamelCase_ ,"""Profit can not be negative."""    )




    def UpperCamelCase__		( self    )    ->      Optional[int]:
          self.assertRaisesRegex(lowerCamelCase_ ,"""max_weight must greater than zero."""    )




    def UpperCamelCase__		( self    )    ->      str:
          self.assertRaisesRegex(
              lowerCamelCase_ ,"""The length of profit and weight must be same."""    )


if __name__ == "__main__":
  unittest.main()




