






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

import unittest
from collections.abc import Iterator



class _A  :





		def __init__(     self ,       __UpperCAmelCase ,       __UpperCAmelCase				)       ->     int:

					'''simple docstring'''
					__UpperCAmelCase   :      List[Any]										=     label
					__UpperCAmelCase   :      Any										=     parent
					__UpperCAmelCase   :      Node | None										=     None
					__UpperCAmelCase   :      Node | None										=     None



class _A  :





		def __init__(     self				)       ->     str:

					'''simple docstring'''
					__UpperCAmelCase   :      Node | None										=     None





		def 							__A       (     self				)       ->     List[Any]:

					'''simple docstring'''
					__UpperCAmelCase   :      str										=     None





		def 							__A       (     self				)       ->     List[str]:

					'''simple docstring'''
					return self.root is None





		def 							__A       (     self ,       __UpperCAmelCase				)       ->     Optional[int]:

					'''simple docstring'''
					__UpperCAmelCase   :      int										=     self._put(self.root ,       _lowerCamelCase				)





		def 							__A       (     self ,       __UpperCAmelCase ,       __UpperCAmelCase ,       __UpperCAmelCase = None				)       ->     int:

					'''simple docstring'''

					if node is None:
								__UpperCAmelCase   :      Any										=     Node(_lowerCamelCase ,       _lowerCamelCase				)
					else:
								if label < node.label:
											__UpperCAmelCase   :      Dict										=     self._put(node.left ,       _lowerCamelCase ,       _lowerCamelCase				)
								elif label > node.label:
											__UpperCAmelCase   :      Union[str, Any]										=     self._put(node.right ,       _lowerCamelCase ,       _lowerCamelCase				)
								else:
											__UpperCAmelCase   :      Optional[Any]										=     f'Node with label {label} already exists'
											raise Exception(_lowerCamelCase				)

					return node





		def 							__A       (     self ,       __UpperCAmelCase				)       ->     List[str]:

					'''simple docstring'''
					return self._search(self.root ,       _lowerCamelCase				)





		def 							__A       (     self ,       __UpperCAmelCase ,       __UpperCAmelCase				)       ->     Dict:

					'''simple docstring'''

					if node is None:
								__UpperCAmelCase   :      Union[str, Any]										=     f'Node with label {label} does not exist'
								raise Exception(_lowerCamelCase				)
					else:
								if label < node.label:
											__UpperCAmelCase   :      Dict										=     self._search(node.left ,       _lowerCamelCase				)
								elif label > node.label:
											__UpperCAmelCase   :      Dict										=     self._search(node.right ,       _lowerCamelCase				)

					return node





		def 							__A       (     self ,       __UpperCAmelCase				)       ->     List[Any]:

					'''simple docstring'''
					__UpperCAmelCase   :      Dict										=     self.search(_lowerCamelCase				)
					if node.right and node.left:
								__UpperCAmelCase   :      List[Any]										=     self._get_lowest_node(node.right				)
								__UpperCAmelCase   :      List[Any]										=     node.left
								__UpperCAmelCase   :      int										=     node.right
								__UpperCAmelCase   :      Optional[Any]										=     lowest_node
								if node.right:
											__UpperCAmelCase   :      str										=     lowest_node
								self._reassign_nodes(_lowerCamelCase ,       _lowerCamelCase				)
					elif not node.right and node.left:
								self._reassign_nodes(_lowerCamelCase ,       node.left				)
					elif node.right and not node.left:
								self._reassign_nodes(_lowerCamelCase ,       node.right				)
					else:
								self._reassign_nodes(_lowerCamelCase ,       _lowerCamelCase				)





		def 							__A       (     self ,       __UpperCAmelCase ,       __UpperCAmelCase				)       ->     List[str]:

					'''simple docstring'''

					if new_children:
								__UpperCAmelCase   :      Tuple										=     node.parent

					if node.parent:
								if node.parent.right == node:
											__UpperCAmelCase   :      Union[str, Any]										=     new_children
								else:
											__UpperCAmelCase   :      Tuple										=     new_children
					else:
								__UpperCAmelCase   :      Any										=     new_children





		def 							__A       (     self ,       __UpperCAmelCase				)       ->     List[Any]:

					'''simple docstring'''

					if node.left:
								__UpperCAmelCase   :      Union[str, Any]										=     self._get_lowest_node(node.left				)
					else:
								__UpperCAmelCase   :      Dict										=     node
								self._reassign_nodes(_lowerCamelCase ,       node.right				)

					return lowest_node





		def 							__A       (     self ,       __UpperCAmelCase				)       ->     List[Any]:

					'''simple docstring'''

					try:
								self.search(_lowerCamelCase				)
								return True
					except Exception:
								return False





		def 							__A       (     self				)       ->     Dict:

					'''simple docstring'''

					if self.root is None:
								raise Exception("""Binary search tree is empty"""				)

					__UpperCAmelCase   :      Dict										=     self.root
					while node.right is not None:
								__UpperCAmelCase   :      Any										=     node.right

					return node.label





		def 							__A       (     self				)       ->     List[str]:

					'''simple docstring'''

					if self.root is None:
								raise Exception("""Binary search tree is empty"""				)

					__UpperCAmelCase   :      Optional[Any]										=     self.root
					while node.left is not None:
								__UpperCAmelCase   :      List[str]										=     node.left

					return node.label





		def 							__A       (     self				)       ->     Optional[Any]:

					'''simple docstring'''
					return self._inorder_traversal(self.root				)





		def 							__A       (     self ,       __UpperCAmelCase				)       ->     Union[str, Any]:

					'''simple docstring'''

					if node is not None:
								yield from self._inorder_traversal(node.left				)
								yield node
								yield from self._inorder_traversal(node.right				)





		def 							__A       (     self				)       ->     List[str]:

					'''simple docstring'''
					return self._preorder_traversal(self.root				)





		def 							__A       (     self ,       __UpperCAmelCase				)       ->     Optional[Any]:

					'''simple docstring'''

					if node is not None:
								yield node
								yield from self._preorder_traversal(node.left				)
								yield from self._preorder_traversal(node.right				)



class _A  (    unittest.TestCase    ):





		@staticmethod
		def 							__A       (     )       ->     Any:

					'''simple docstring'''
					__UpperCAmelCase   :      Any										=     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				)

					return t





		def 							__A       (     self				)       ->     Tuple:

					'''simple docstring'''
					__UpperCAmelCase   :      List[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(10				)
					assert t.root.right is not None
					assert t.root.right.parent == t.root
					assert t.root.right.label == 10

					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(_lowerCamelCase				):  # noqa: B017
								t.put(1				)





		def 							__A       (     self				)       ->     Any:

					'''simple docstring'''
					__UpperCAmelCase   :      Optional[int]										=     self._get_binary_search_tree()

					__UpperCAmelCase   :      str										=     t.search(6				)
					assert node.label == 6

					__UpperCAmelCase   :      Any										=     t.search(13				)
					assert node.label == 13

					with self.assertRaises(_lowerCamelCase				):  # noqa: B017
								t.search(2				)





		def 							__A       (     self				)       ->     Union[str, Any]:

					'''simple docstring'''
					__UpperCAmelCase   :      int										=     self._get_binary_search_tree()

					t.remove(13				)
					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 							__A       (     self				)       ->     List[Any]:

					'''simple docstring'''
					__UpperCAmelCase   :      Any										=     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 							__A       (     self				)       ->     int:

					'''simple docstring'''
					__UpperCAmelCase   :      int										=     self._get_binary_search_tree()
					t.empty()
					assert t.root is None





		def 							__A       (     self				)       ->     Union[str, Any]:

					'''simple docstring'''
					__UpperCAmelCase   :      str										=     self._get_binary_search_tree()
					assert not t.is_empty()

					t.empty()
					assert t.is_empty()





		def 							__A       (     self				)       ->     Union[str, Any]:

					'''simple docstring'''
					__UpperCAmelCase   :      Any										=     self._get_binary_search_tree()

					assert t.exists(6				)
					assert not t.exists(-1				)





		def 							__A       (     self				)       ->     Optional[Any]:

					'''simple docstring'''
					__UpperCAmelCase   :      Optional[int]										=     self._get_binary_search_tree()

					assert t.get_max_label() == 14

					t.empty()
					with self.assertRaises(_lowerCamelCase				):  # noqa: B017
								t.get_max_label()





		def 							__A       (     self				)       ->     Tuple:

					'''simple docstring'''
					__UpperCAmelCase   :      int										=     self._get_binary_search_tree()

					assert t.get_min_label() == 1

					t.empty()
					with self.assertRaises(_lowerCamelCase				):  # noqa: B017
								t.get_min_label()





		def 							__A       (     self				)       ->     str:

					'''simple docstring'''
					__UpperCAmelCase   :      Union[str, Any]										=     self._get_binary_search_tree()

					__UpperCAmelCase   :      List[Any]										=     [i.label for i in t.inorder_traversal()]
					assert inorder_traversal_nodes == [1, 3, 4, 5, 6, 7, 8, 10, 13, 14]





		def 							__A       (     self				)       ->     Optional[Any]:

					'''simple docstring'''
					__UpperCAmelCase   :      Tuple										=     self._get_binary_search_tree()

					__UpperCAmelCase   :      Tuple										=     [i.label for i in t.preorder_traversal()]
					assert preorder_traversal_nodes == [8, 3, 1, 6, 4, 5, 7, 10, 14, 13]


def   lowercase_	(   ):

			"""simple docstring"""





			__UpperCAmelCase   :      Optional[int]										=     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(
			    """
            8
           / \\
          3   10
         / \\    \\
        1   6    14
           / \\   /
          4   7 13
           \\
            5
        """ )

			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   :      Optional[Any]										=     [i.label for i in t.inorder_traversal()]
			print("""Inorder traversal:"""			,							lowerCAmelCase__ )

			# Prints all the elements of the list in preorder traversal
			__UpperCAmelCase   :      Optional[int]										=     [i.label for i in t.preorder_traversal()]
			print("""Preorder traversal:"""			,							lowerCAmelCase__ )

			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(
			    """
          4
         / \\
        1   7
             \\
              5
        """ )
			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   :      Dict										=     [i.label for i in t.inorder_traversal()]
			print("""Inorder traversal after delete:"""			,							lowerCAmelCase__ )

			# Prints all the elements of the list in preorder traversal after delete
			__UpperCAmelCase   :      List[str]										=     [i.label for i in t.preorder_traversal()]
			print("""Preorder traversal after delete:"""			,							lowerCAmelCase__ )

			print("""Max. label:"""			,							t.get_max_label() )
			print("""Min. label:"""			,							t.get_min_label() )


if __name__ == "__main__":
					binary_search_tree_example()









'''simple docstring'''
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




