




"""simple docstring"""






from collections.abc import Iterable
from typing import Any




class   a__			:





						def __init__(							self      :	Union[str, Any]     ,a__      :	int | None = None)						->       str:




											"""simple docstring"""







											_lowerCAmelCase:List[str]									=  value
											_lowerCAmelCase:Node | None									=  None  # Added in order to delete a node easier
											_lowerCAmelCase:Node | None									=  None
											_lowerCAmelCase:Node | None									=  None







						def __repr__(							self      :	str)						->       str:




											"""simple docstring"""







											from pprint import pformat

											if self.left is None and self.right is None:
																return str(self.value)
											return pformat({F'{self.value}': (self.left, self.right)}     ,indent=1)




class   a__			:





						def __init__(							self      :	Union[str, Any]     ,a__      :	Node | None = None)						->       Optional[Any]:




											"""simple docstring"""







											_lowerCAmelCase:List[Any]									=  root





						def __str__(							self      :	Tuple)						->       str:




											"""simple docstring"""







											return str(self.root)





						def       __UpperCamelCase     (							self      :	Optional[Any]     ,a__      :	Node     ,a__      :	Node | None)						->       None:




											"""simple docstring"""







											if new_children is not None:  # reset its kids
																_lowerCAmelCase:Optional[Any]									=  node.parent
											if node.parent is not None:  # reset its parent
																if self.is_right(a__):  # If it is the right children
																					_lowerCAmelCase:str									=  new_children
																else:
																					_lowerCAmelCase:Dict									=  new_children
											else:
																_lowerCAmelCase:List[Any]									=  new_children





						def       __UpperCamelCase     (							self      :	int     ,a__      :	Node)						->       bool:




											"""simple docstring"""







											if node.parent and node.parent.right:
																return node == node.parent.right
											return False





						def       __UpperCamelCase     (							self      :	int)						->       bool:




											"""simple docstring"""







											return self.root is None





						def       __UpperCamelCase     (							self      :	List[str]     ,a__      :	Optional[Any])						->       None:




											"""simple docstring"""







											_lowerCAmelCase:Union[str, Any]									=  Node(a__)  # create a new Node
											if self.empty():  # if Tree is empty
																_lowerCAmelCase:int									=  new_node  # set its root
											else:  # Tree is not empty
																_lowerCAmelCase:Any									=  self.root  # from root
																if parent_node is None:
																					return
																while True:  # While we don't get to a leaf
																					if value < parent_node.value:  # We go left
																										if parent_node.left is None:
																															_lowerCAmelCase:str									=  new_node  # We insert the new node in a leaf
																															break
																										else:
																															_lowerCAmelCase:Optional[int]									=  parent_node.left
																					else:
																										if parent_node.right is None:
																															_lowerCAmelCase:str									=  new_node
																															break
																										else:
																															_lowerCAmelCase:Optional[int]									=  parent_node.right
																_lowerCAmelCase:Optional[Any]									=  parent_node





						def       __UpperCamelCase     (							self      :	Dict     ,*a__      :	str)						->       None:




											"""simple docstring"""







											for value in values:
																self.__insert(a__)





						def       __UpperCamelCase     (							self      :	Tuple     ,a__      :	int)						->       Node | None:




											"""simple docstring"""







											if self.empty():
																raise IndexError('''Warning: Tree is empty! please use another.''')
											else:
																_lowerCAmelCase:Optional[Any]									=  self.root
																# use lazy evaluation here to avoid NoneType Attribute error
																while node is not None and node.value is not value:
																					_lowerCAmelCase:Dict									=  node.left if value < node.value else node.right
																return node





						def       __UpperCamelCase     (							self      :	Dict     ,a__      :	Node | None = None)						->       Node | None:




											"""simple docstring"""







											if node is None:
																if self.root is None:
																					return None
																_lowerCAmelCase:Tuple									=  self.root

											if not self.empty():
																while node.right is not None:
																					_lowerCAmelCase:Optional[int]									=  node.right
											return node





						def       __UpperCamelCase     (							self      :	Union[str, Any]     ,a__      :	Node | None = None)						->       Node | None:




											"""simple docstring"""







											if node is None:
																_lowerCAmelCase:Tuple									=  self.root
											if self.root is None:
																return None
											if not self.empty():
																_lowerCAmelCase:Any									=  self.root
																while node.left is not None:
																					_lowerCAmelCase:Union[str, Any]									=  node.left
											return node





						def       __UpperCamelCase     (							self      :	int     ,a__      :	int)						->       None:




											"""simple docstring"""







											_lowerCAmelCase:Dict									=  self.search(a__)  # Look for the node with that label
											if node is not None:
																if node.left is None and node.right is None:  # If it has no children
																					self.__reassign_nodes(a__     ,a__)
																elif node.left is None:  # Has only right children
																					self.__reassign_nodes(a__     ,node.right)
																elif node.right is None:  # Has only left children
																					self.__reassign_nodes(a__     ,node.left)
																else:
																					_lowerCAmelCase:Optional[int]									=  self.get_max(
																					    node.left)  # Gets the max value of the left branch
																					self.remove(tmp_node.value)  # type: ignore
																					_lowerCAmelCase:Union[str, Any]									=  (
																					    tmp_node.value  # type: ignore
																					)  # Assigns the value to the node to delete and keep tree structure





						def       __UpperCamelCase     (							self      :	int     ,a__      :	Node | None)						->       Iterable:




											"""simple docstring"""







											if node is not None:
																yield node  # Preorder Traversal
																yield from self.preorder_traverse(node.left)
																yield from self.preorder_traverse(node.right)





						def       __UpperCamelCase     (							self      :	Optional[Any]     ,a__      :	str=None)						->       Any:




											"""simple docstring"""







											if traversal_function is None:
																return self.preorder_traverse(self.root)
											else:
																return traversal_function(self.root)





						def       __UpperCamelCase     (							self      :	Tuple     ,a__      :	list     ,a__      :	Node | None)						->       None:




											"""simple docstring"""







											if node:
																self.inorder(a__     ,node.left)
																arr.append(node.value)
																self.inorder(a__     ,node.right)







						def       __UpperCamelCase     (							self      :	Any     ,a__      :	int     ,a__      :	Node)						->       int:




											"""simple docstring"""







											_lowerCAmelCase:list[int]									=  []
											self.inorder(a__     ,a__)  # append all values to list using inorder traversal
											return arr[k - 1]





def 							UpperCAmelCase		(			snake_case			:					Node | None    ):
					_lowerCAmelCase:Optional[Any]									=  []
					if curr_node is not None:
										_lowerCAmelCase:str									=  postorder(curr_node.left    ) + postorder(curr_node.right    ) + [curr_node]
					return node_list





def 							UpperCAmelCase		(			):
					_lowerCAmelCase:Union[str, Any]									=  (8, 3, 6, 1, 10, 14, 13, 4, 7)
					_lowerCAmelCase:Tuple									=  BinarySearchTree()
					for i in testlist:
										t.insert(snake_case    )

					# Prints all the elements of the list in order traversal
					print(snake_case    )

					if t.search(6    ) is not None:
										print('''The value 6 exists'''    )
					else:
										print('''The value 6 doesn\'t exist'''    )

					if t.search(-1    ) is not None:
										print('''The value -1 exists'''    )
					else:
										print('''The value -1 doesn\'t exist'''    )

					if not t.empty():
										print('''Max Value: '''      ,       t.get_max().value    )  # type: ignore
										print('''Min Value: '''      ,       t.get_min().value    )  # type: ignore

					for i in testlist:
										t.remove(snake_case    )
										print(snake_case    )


if __name__ == "__main__":
				import doctest

				doctest.testmod(verbose=True)












"""simple docstring"""






def 							UpperCAmelCase		(		snake_case			:					str      ,       snake_case			:					str    ):
					assert x is not None
					assert y is not None

					_lowerCAmelCase:Optional[Any]									=  len(snake_case    )
					_lowerCAmelCase:Tuple									=  len(snake_case    )

					# declaring the array for storing the dp values
					_lowerCAmelCase:Optional[Any]									=  [[0] * (n + 1) for _ in range(m + 1    )]  # noqa: E741

					for i in range(1      ,       m + 1    ):
										for j in range(1      ,       n + 1    ):
															_lowerCAmelCase:Optional[int]									=  1 if x[i - 1] == y[j - 1] else 0

															_lowerCAmelCase:int									=  max(l[i - 1][j]      ,       l[i][j - 1]      ,       l[i - 1][j - 1] + match    )

					_lowerCAmelCase:List[Any]									=  ''''''
					_lowerCAmelCase							,   _lowerCAmelCase:Dict									=  m, n
					while i > 0 and j > 0:
										_lowerCAmelCase:Any									=  1 if x[i - 1] == y[j - 1] else 0

										if l[i][j] == l[i - 1][j - 1] + match:
															if match == 1:
																				_lowerCAmelCase:Any									=  x[i - 1] + seq
															i -= 1
															j -= 1
										elif l[i][j] == l[i - 1][j]:
															i -= 1
										else:
															j -= 1

					return l[m][n], seq


if __name__ == "__main__":
				UpperCamelCase__						=			'''AGGTAB'''
				UpperCamelCase__						=			'''GXTXAYB'''
				UpperCamelCase__						=			4
				UpperCamelCase__						=			'''GTAB'''

				UpperCamelCase__						,							UpperCamelCase__						=			longest_common_subsequence(a, b)
				print('''len =''', ln, ''', sub-sequence =''', subseq)
				import doctest

				doctest.testmod()






