code: from __future__ import annotations
  
  import unittest
  from collections.abc import Iterator
  
  
  
  
  class    __lowerCAmelCase  :
  
  
  
   '''simple docstring'''
  
   def __init__(			self       :		Dict       ,			lowerCamelCase       :		Optional[int]       ,			lowerCamelCase       :		Any  ) ->							Any:
          _UpperCamelCase     :       List[Any]  						=  label
          _UpperCamelCase     :       Optional[int]  						=  parent
          _UpperCamelCase     :       List[str]  						=  None
          _UpperCamelCase     :       Tuple  						=  None
  
  
  
  
  
  
  
  class    __lowerCAmelCase  :
  
  
  
   '''simple docstring'''
  
   def __init__(			self       :		Optional[Any]  ) ->							List[Any]:
          _UpperCamelCase     :       Optional[int]  						=  None
  
   def 					__snake_case					(			self       :		Tuple  ) ->							Dict:
          _UpperCamelCase     :       Union[str, Any]  						=  None
  
   def 					__snake_case					(			self       :		Optional[int]  ) ->							str:
          return self.root is None
  
   def 					__snake_case					(			self       :		List[str]       ,			lowerCamelCase       :		Optional[int]  ) ->							Dict:
          _UpperCamelCase     :       Tuple  						=  self._put(self.root       ,			__UpperCamelCase  )
  
   def 					__snake_case					(			self       :		Optional[int]       ,			lowerCamelCase       :		Any       ,			lowerCamelCase       :		List[str]       ,			lowerCamelCase       :		Dict = None  ) ->							List[str]:
          if node is None:
                 _UpperCamelCase     :       str  						=  Node(__UpperCamelCase       ,			__UpperCamelCase  )
          else:
                 if label < node.label:
                        _UpperCamelCase     :       str  						=  self._put(node.left       ,			__UpperCamelCase       ,			__UpperCamelCase  )
                 elif label > node.label:
                        _UpperCamelCase     :       Any  						=  self._put(node.right       ,			__UpperCamelCase       ,			__UpperCamelCase  )
                 else:
                        _UpperCamelCase     :       int  						=  f"Node with label {label} already exists"
                        raise Exception(__UpperCamelCase  )
  
          return node
  
   def 					__snake_case					(			self       :		List[Any]       ,			lowerCamelCase       :		Any  ) ->							Tuple:
          return self._search(self.root       ,			__UpperCamelCase  )
  
   def 					__snake_case					(			self       :		Any       ,			lowerCamelCase       :		Any       ,			lowerCamelCase       :		List[str]  ) ->							Union[str, Any]:
          if node is None:
                 _UpperCamelCase     :       List[Any]  						=  f"Node with label {label} does not exist"
                 raise Exception(__UpperCamelCase  )
          else:
                 if label < node.label:
                        _UpperCamelCase     :       Any  						=  self._search(node.left       ,			__UpperCamelCase  )
                 elif label > node.label:
                        _UpperCamelCase     :       str  						=  self._search(node.right       ,			__UpperCamelCase  )
  
          return node
  
   def 					__snake_case					(			self       :		Any       ,			lowerCamelCase       :		Union[str, Any]  ) ->							Optional[int]:
          _UpperCamelCase     :       Optional[Any]  						=  self.search(__UpperCamelCase  )
          if node.right and node.left:
                 _UpperCamelCase     :       List[str]  						=  self._get_lowest_node(node.right  )
                 _UpperCamelCase     :       List[str]  						=  node.left
                 _UpperCamelCase     :       int  						=  node.right
                 _UpperCamelCase     :       Tuple  						=  lowest_node
                 if node.right:
                        _UpperCamelCase     :       Optional[int]  						=  lowest_node
                 self._reassign_nodes(__UpperCamelCase       ,			__UpperCamelCase  )
          elif not node.right and node.left:
                 self._reassign_nodes(__UpperCamelCase       ,			node.left  )
          elif node.right and not node.left:
                 self._reassign_nodes(__UpperCamelCase       ,			node.right  )
          else:
                 self._reassign_nodes(__UpperCamelCase       ,			__UpperCamelCase  )
  
   def 					__snake_case					(			self       :		Optional[Any]       ,			lowerCamelCase       :		str       ,			lowerCamelCase       :		List[Any]  ) ->							int:
          if new_children:
                 _UpperCamelCase     :       List[Any]  						=  node.parent
  
          if node.parent:
                 if node.parent.right == node:
                        _UpperCamelCase     :       Tuple  						=  new_children
                 else:
                        _UpperCamelCase     :       Tuple  						=  new_children
          else:
                 _UpperCamelCase     :       int  						=  new_children
  
   def 					__snake_case					(			self       :		Dict       ,			lowerCamelCase       :		List[Any]  ) ->							Tuple:
          if node.left:
                 _UpperCamelCase     :       List[Any]  						=  self._get_lowest_node(node.left  )
          else:
                 _UpperCamelCase     :       Tuple  						=  node
                 self._reassign_nodes(__UpperCamelCase       ,			node.right  )
  
          return lowest_node
  
   def 					__snake_case					(			self       :		List[str]       ,			lowerCamelCase       :		Tuple  ) ->							str:
          try:
                 self.search(__UpperCamelCase  )
                 return True
          except Exception:
                 return False
  
   def 					__snake_case					(			self       :		int  ) ->							int:
          if self.root is None:
                 raise Exception('Binary search tree is empty'  )
  
          _UpperCamelCase     :       Union[str, Any]  						=  self.root
          while node.right is not None:
                 _UpperCamelCase     :       Union[str, Any]  						=  node.right
  
          return node.label
  
   def 					__snake_case					(			self       :		int  ) ->							Union[str, Any]:
          if self.root is None:
                 raise Exception('Binary search tree is empty'  )
  
          _UpperCamelCase     :       int  						=  self.root
          while node.left is not None:
                 _UpperCamelCase     :       Dict  						=  node.left
  
          return node.label
  
   def 					__snake_case					(			self       :		Any  ) ->							Optional[Any]:
          return self._inorder_traversal(self.root  )
  
   def 					__snake_case					(			self       :		Tuple       ,			lowerCamelCase       :		str  ) ->							Dict:
          if node is not None:
                 yield from self._inorder_traversal(node.left  )
                 yield node
                 yield from self._inorder_traversal(node.right  )
  
   def 					__snake_case					(			self       :		int  ) ->							Dict:
          return self._preorder_traversal(self.root  )
  
   def 					__snake_case					(			self       :		Any       ,			lowerCamelCase       :		List[str]  ) ->							Union[str, Any]:
          if node is not None:
                 yield node
                 yield from self._preorder_traversal(node.left  )
                 yield from self._preorder_traversal(node.right  )
  
  
  
  
  
  
  
  class    __lowerCAmelCase  (       unittest.TestCase						):
  
  
  
   '''simple docstring'''
  
   @staticmethod
   def 					__snake_case					(			) ->							int:
          _UpperCamelCase     :       int  						=  BinarySearchTree()
          t.put(8  )
          t.put(3  )
          t.put(6  )
          t.put(1  )
          t.put(1_0  )
          t.put(1_4  )
          t.put(1_3  )
          t.put(4  )
          t.put(7  )
          t.put(5  )
  
          return t
  
   def 					__snake_case					(			self       :		Dict  ) ->							Union[str, Any]:
          _UpperCamelCase     :       Optional[Any]  						=  BinarySearchTree()
          assert t.is_empty()
  
          t.put(8  )
          assert t.root is not None
          assert t.root.parent is None
          assert t.root.label == 8
  
          t.put(1_0  )
          assert t.root.right is not None
          assert t.root.right.parent == t.root
          assert t.root.right.label == 1_0
  
          t.put(3  )
          assert t.root.left is not None
          assert t.root.left.parent == t.root
          assert t.root.left.label == 3
  
          t.put(6  )
          assert t.root.left.right is not None
          assert t.root.left.right.parent == t.root.left
          assert t.root.left.right.label == 6
  
          t.put(1  )
          assert t.root.left.left is not None
          assert t.root.left.left.parent == t.root.left
          assert t.root.left.left.label == 1
  
          with self.assertRaises(__UpperCamelCase  ):  # noqa: B017
                 t.put(1  )
  
   def 					__snake_case					(			self       :		Optional[Any]  ) ->							int:
          _UpperCamelCase     :       List[str]  						=  self._get_binary_search_tree()
  
          _UpperCamelCase     :       Union[str, Any]  						=  t.search(6  )
          assert node.label == 6
  
          _UpperCamelCase     :       Optional[Any]  						=  t.search(1_3  )
          assert node.label == 1_3
  
          with self.assertRaises(__UpperCamelCase  ):  # noqa: B017
                 t.search(2  )
  
   def 					__snake_case					(			self       :		Tuple  ) ->							Optional[Any]:
          _UpperCamelCase     :       Dict  						=  self._get_binary_search_tree()
  
          t.remove(1_3  )
          assert t.root is not None
          assert t.root.right is not None
          assert t.root.right.right is not None
          assert t.root.right.right.right is None
          assert t.root.right.right.left is None
  
          t.remove(7  )
          assert t.root.left is not None
          assert t.root.left.right is not None
          assert t.root.left.right.left is not None
          assert t.root.left.right.right is None
          assert t.root.left.right.left.label == 4
  
          t.remove(6  )
          assert t.root.left.left is not None
          assert t.root.left.right.right is not None
          assert t.root.left.left.label == 1
          assert t.root.left.right.label == 4
          assert t.root.left.right.right.label == 5
          assert t.root.left.right.left is None
          assert t.root.left.left.parent == t.root.left
          assert t.root.left.right.parent == t.root.left
  
          t.remove(3  )
          assert t.root is not None
          assert t.root.left.label == 4
          assert t.root.left.right.label == 5
          assert t.root.left.left.label == 1
          assert t.root.left.parent == t.root
          assert t.root.left.left.parent == t.root.left
          assert t.root.left.right.parent == t.root.left
  
          t.remove(4  )
          assert t.root.left is not None
          assert t.root.left.left is not None
          assert t.root.left.label == 5
          assert t.root.left.right is None
          assert t.root.left.left.label == 1
          assert t.root.left.parent == t.root
          assert t.root.left.left.parent == t.root.left
  
   def 					__snake_case					(			self       :		str  ) ->							Union[str, Any]:
          _UpperCamelCase     :       int  						=  self._get_binary_search_tree()
  
          t.remove(3  )
          assert t.root is not None
          assert t.root.left is not None
          assert t.root.left.left is not None
          assert t.root.left.right is not None
          assert t.root.left.right.left is not None
          assert t.root.left.right.right is not None
          assert t.root.left.label == 4
          assert t.root.left.right.label == 6
          assert t.root.left.left.label == 1
          assert t.root.left.right.right.label == 7
          assert t.root.left.right.left.label == 5
          assert t.root.left.parent == t.root
          assert t.root.left.right.parent == t.root.left
          assert t.root.left.left.parent == t.root.left
          assert t.root.left.right.left.parent == t.root.left.right
  
   def 					__snake_case					(			self       :		Tuple  ) ->							Any:
          _UpperCamelCase     :       Union[str, Any]  						=  self._get_binary_search_tree()
          t.empty()
          assert t.root is None
  
   def 					__snake_case					(			self       :		Optional[Any]  ) ->							Tuple:
          _UpperCamelCase     :       Optional[int]  						=  self._get_binary_search_tree()
          assert not t.is_empty()
  
          t.empty()
          assert t.is_empty()
  
   def 					__snake_case					(			self       :		str  ) ->							Tuple:
          _UpperCamelCase     :       Any  						=  self._get_binary_search_tree()
  
          assert t.exists(6  )
          assert not t.exists(-1  )
  
   def 					__snake_case					(			self       :		int  ) ->							Optional[int]:
          _UpperCamelCase     :       Any  						=  self._get_binary_search_tree()
  
          assert t.get_max_label() == 1_4
  
          t.empty()
          with self.assertRaises(__UpperCamelCase  ):  # noqa: B017
                 t.get_max_label()
  
   def 					__snake_case					(			self       :		str  ) ->							Optional[int]:
          _UpperCamelCase     :       List[str]  						=  self._get_binary_search_tree()
  
          assert t.get_min_label() == 1
  
          t.empty()
          with self.assertRaises(__UpperCamelCase  ):  # noqa: B017
                 t.get_min_label()
  
   def 					__snake_case					(			self       :		int  ) ->							Optional[int]:
          _UpperCamelCase     :       str  						=  self._get_binary_search_tree()
  
          _UpperCamelCase     :       Optional[int]  						=  [i.label for i in t.inorder_traversal()]
          assert inorder_traversal_nodes == [1, 3, 4, 5, 6, 7, 8, 1_0, 1_3, 1_4]
  
   def 					__snake_case					(			self       :		Optional[int]  ) ->							Union[str, Any]:
          _UpperCamelCase     :       Tuple  						=  self._get_binary_search_tree()
  
          _UpperCamelCase     :       List[Any]  						=  [i.label for i in t.preorder_traversal()]
          assert preorder_traversal_nodes == [8, 3, 1, 6, 4, 5, 7, 1_0, 1_4, 1_3]
  
  
  
  
  
  
  
  def SCREAMING_SNAKE_CASE				(     ):
         _UpperCamelCase     :       Dict  						=  BinarySearchTree()
         t.put(8				)
         t.put(3				)
         t.put(6				)
         t.put(1				)
         t.put(10				)
         t.put(14				)
         t.put(13				)
         t.put(4				)
         t.put(7				)
         t.put(5				)
  
         print(
             '\n            8\n           / \\\n          3   10\n         / \\    \\\n        1   6    14\n           / \\   /\n          4   7 13\n           \\\n            5\n        '				)
  
         print('Label 6 exists:'		,						t.exists(6				)				)
         print('Label 13 exists:'		,						t.exists(13				)				)
         print('Label -1 exists:'		,						t.exists(-1				)				)
         print('Label 12 exists:'		,						t.exists(12				)				)
  
         # Prints all the elements of the list in inorder traversal
         _UpperCamelCase     :       Tuple  						=  [i.label for i in t.inorder_traversal()]
         print('Inorder traversal:'		,						lowercase_				)
  
         # Prints all the elements of the list in preorder traversal
         _UpperCamelCase     :       Dict  						=  [i.label for i in t.preorder_traversal()]
         print('Preorder traversal:'		,						lowercase_				)
  
         print('Max. label:'		,						t.get_max_label()				)
         print('Min. label:'		,						t.get_min_label()				)
  
         # Delete elements
         print('\nDeleting elements 13, 10, 8, 3, 6, 14'				)
         print(
             '\n          4\n         / \\\n        1   7\n             \\\n              5\n        '				)
         t.remove(13				)
         t.remove(10				)
         t.remove(8				)
         t.remove(3				)
         t.remove(6				)
         t.remove(14				)
  
         # Prints all the elements of the list in inorder traversal after delete
         _UpperCamelCase     :       List[str]  						=  [i.label for i in t.inorder_traversal()]
         print('Inorder traversal after delete:'		,						lowercase_				)
  
         # Prints all the elements of the list in preorder traversal after delete
         _UpperCamelCase     :       Optional[Any]  						=  [i.label for i in t.preorder_traversal()]
         print('Preorder traversal after delete:'		,						lowercase_				)
  
         print('Max. label:'		,						t.get_max_label()				)
         print('Min. label:'		,						t.get_min_label()				)
  
  
  if __name__ == "__main__":
   binary_search_tree_example()
  
  
  
  
style_context: from .chunk_utils import chunk_layer
  from .data_transforms import make_atomaa_masks
  from .feats import atomaa_to_atomaa, frames_and_literature_positions_to_atomaa_pos, torsion_angles_to_frames
  from .loss import compute_predicted_aligned_error, compute_tm
  from .protein import Protein as OFProtein
  from .protein import to_pdb
  from .rigid_utils import Rigid, Rotation
  from .tensor_utils import dict_multimap, flatten_final_dims, permute_final_dims
  
  
  
  