



'''simple docstring'''





from __future__ import annotations

from collections.abc import Iterable, Iterator
from dataclasses import dataclass

lowercase_									=    (3, 9, -11, 0, 7, 5, 1, -1)
lowercase_									=    (4, 6, 2, 0, 8, 10, 3, -2)






@dataclass
class __A     :



 '''simple docstring'''







 __lowerCamelCase       :			int
 __lowerCamelCase       :			Node | None






class __A     :



 '''simple docstring'''







 def __init__(self					,  A			)       ->	None:


      """simple docstring"""



      _a           =    None
      for i in sorted(A					,  reverse=A			):
           _a           =    Node(A					,  self.head			)



 def __iter__(self			)       ->	Iterator[int]:


      """simple docstring"""



      _a           =    self.head
      while node:
           yield node.data
           _a           =    node.next_node



 def __len__(self			)       ->	int:


      """simple docstring"""



      return sum(1 for _ in self			)



 def __str__(self			)       ->	str:


      """simple docstring"""



      return " -> ".join([str(A			) for node in self]			)





def lowerCAmelCase    (__A    ,      __A):



     """simple docstring"""



     return SortedLinkedList(list(__A) + list(__A))


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  lowercase_									=    SortedLinkedList
  print(merge_lists(SSL(test_data_odd), SSL(test_data_even)))








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






def A__       (	UpperCAmelCase_    ,    UpperCAmelCase_				):
						_UpperCamelCase							,     _UpperCamelCase   :						Dict												=  position
						_UpperCamelCase   :						Any												=  [
						    (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   :						Optional[Any]												=  []

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

						return permissible_positions






def A__       (	UpperCAmelCase_				):
						return not any(elem == 0 for row in board for elem in row				)






def A__       (	UpperCAmelCase_    ,    UpperCAmelCase_    ,    UpperCAmelCase_				):

						if is_complete(UpperCAmelCase_				):
												return True

						for position in get_valid_pos(UpperCAmelCase_    ,    len(UpperCAmelCase_				)				):
												_UpperCamelCase							,     _UpperCamelCase   :						Any												=  position

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

						return False






def A__       (	UpperCAmelCase_				):
						_UpperCamelCase   :						Dict												=  [[0 for i in range(UpperCAmelCase_				)] for j in range(UpperCAmelCase_				)]

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

						_UpperCamelCase   :						int												=  f'Open Kight Tour cannot be performed on a board of size {n}'
						raise ValueError(UpperCAmelCase_				)


if __name__ == "__main__":
					import doctest

					doctest.testmod()


