


'''simple docstring'''





from __future__ import annotations

import math
import random
from typing import Any
class 						a__					:





			'''simple docstring'''

			def __init__(  self							:			List[Any]	)      ->		None:
						__A=	[]
						__A=	0
						__A=	0
			def 					lowerCAmelCase     (  self							:			Any	)      ->		bool:
						return self.head == self.tail
			def 					lowerCAmelCase     (  self							:			Tuple			,    lowerCAmelCase_							:			Any	)      ->		None:
						self.data.append(lowerCAmelCase_	)
						__A=	self.tail + 1
			def 					lowerCAmelCase     (  self							:			Optional[Any]	)      ->		Any:
						__A=	self.data[self.head]
						__A=	self.head + 1
						return ret
			def 					lowerCAmelCase     (  self							:			Any	)      ->		int:
						return self.tail - self.head

			def 					lowerCAmelCase     (  self							:			Optional[int]	)      ->		None:
						print(self.data	)
						print('**************'	)
						print(self.data[self.head : self.tail]	)


class 						a__					:





			'''simple docstring'''

			def __init__(  self							:			Optional[int]			,    lowerCAmelCase_							:			Any	)      ->		None:
						__A=	data
						__A=	None
						__A=	None
						__A=	1
			def 					lowerCAmelCase     (  self							:			Tuple	)      ->		Any:
						return self.data
			def 					lowerCAmelCase     (  self							:			str	)      ->		MyNode | None:
						return self.left
			def 					lowerCAmelCase     (  self							:			Union[str, Any]	)      ->		MyNode | None:
						return self.right
			def 					lowerCAmelCase     (  self							:			List[str]	)      ->		int:
						return self.height
			def 					lowerCAmelCase     (  self							:			str			,    lowerCAmelCase_							:			Any	)      ->		None:
						__A=	data
			def 					lowerCAmelCase     (  self							:			List[str]			,    lowerCAmelCase_							:			MyNode | None	)      ->		None:
						__A=	node
			def 					lowerCAmelCase     (  self							:			List[str]			,    lowerCAmelCase_							:			MyNode | None	)      ->		None:
						__A=	node

			def 					lowerCAmelCase     (  self							:			Union[str, Any]			,    lowerCAmelCase_							:			int	)      ->		None:
						__A=	height






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: MyNode | None ):






			"""simple docstring"""




			if node is None:
						return 0
			return node.get_height()






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: int,_SCREAMING_SNAKE_CASE					: int ):






			"""simple docstring"""




			if a > b:
						return a
			return b






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: MyNode ):






			"""simple docstring"""




			print('left rotation node:',node.get_data() )
			__A=	node.get_left()
			assert ret is not None
			node.set_left(ret.get_right() )
			ret.set_right(_SCREAMING_SNAKE_CASE )
			__A=	my_max(get_height(node.get_right() ),get_height(node.get_left() ) ) + 1
			node.set_height(_SCREAMING_SNAKE_CASE )
			__A=	my_max(get_height(ret.get_right() ),get_height(ret.get_left() ) ) + 1
			ret.set_height(_SCREAMING_SNAKE_CASE )
			return ret






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: MyNode ):






			"""simple docstring"""




			print('right rotation node:',node.get_data() )
			__A=	node.get_right()
			assert ret is not None
			node.set_right(ret.get_left() )
			ret.set_left(_SCREAMING_SNAKE_CASE )
			__A=	my_max(get_height(node.get_right() ),get_height(node.get_left() ) ) + 1
			node.set_height(_SCREAMING_SNAKE_CASE )
			__A=	my_max(get_height(ret.get_right() ),get_height(ret.get_left() ) ) + 1
			ret.set_height(_SCREAMING_SNAKE_CASE )
			return ret






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: MyNode ):






			"""simple docstring"""




			__A=	node.get_left()
			assert left_child is not None
			node.set_left(left_rotation(_SCREAMING_SNAKE_CASE ) )
			return right_rotation(_SCREAMING_SNAKE_CASE )






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: MyNode ):






			"""simple docstring"""




			__A=	node.get_right()
			assert right_child is not None
			node.set_right(right_rotation(_SCREAMING_SNAKE_CASE ) )
			return left_rotation(_SCREAMING_SNAKE_CASE )






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: MyNode | None,_SCREAMING_SNAKE_CASE					: Any ):






			"""simple docstring"""




			if node is None:
						return MyNode(_SCREAMING_SNAKE_CASE )
			if data < node.get_data():
						node.set_left(insert_node(node.get_left(),_SCREAMING_SNAKE_CASE ) )
						if (
						    get_height(node.get_left() ) - get_height(node.get_right() ) == 2
						):  # an unbalance detected
									__A=	node.get_left()
									assert left_child is not None
									if (
									    data < left_child.get_data()
									):  # new node is the left child of the left child
												__A=	right_rotation(_SCREAMING_SNAKE_CASE )
									else:
												__A=	lr_rotation(_SCREAMING_SNAKE_CASE )
			else:
						node.set_right(insert_node(node.get_right(),_SCREAMING_SNAKE_CASE ) )
						if get_height(node.get_right() ) - get_height(node.get_left() ) == 2:
									__A=	node.get_right()
									assert right_child is not None
									if data < right_child.get_data():
												__A=	rl_rotation(_SCREAMING_SNAKE_CASE )
									else:
												__A=	left_rotation(_SCREAMING_SNAKE_CASE )
			__A=	my_max(get_height(node.get_right() ),get_height(node.get_left() ) ) + 1
			node.set_height(_SCREAMING_SNAKE_CASE )
			return node






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: MyNode ):






			"""simple docstring"""




			while True:
						__A=	root.get_right()
						if right_child is None:
									break
						__A=	right_child
			return root.get_data()






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: MyNode ):






			"""simple docstring"""




			while True:
						__A=	root.get_left()
						if left_child is None:
									break
						__A=	left_child
			return root.get_data()






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: MyNode,_SCREAMING_SNAKE_CASE					: Any ):






			"""simple docstring"""




			__A=	root.get_left()
			__A=	root.get_right()
			if root.get_data() == data:
						if left_child is not None and right_child is not None:
									__A=	get_left_most(_SCREAMING_SNAKE_CASE )
									root.set_data(_SCREAMING_SNAKE_CASE )
									root.set_right(del_node(_SCREAMING_SNAKE_CASE,_SCREAMING_SNAKE_CASE ) )
						elif left_child is not None:
									__A=	left_child
						elif right_child is not None:
									__A=	right_child
						else:
									return None
			elif root.get_data() > data:
						if left_child is None:
									print('No such data' )
									return root
						else:
									root.set_left(del_node(_SCREAMING_SNAKE_CASE,_SCREAMING_SNAKE_CASE ) )
			else:  # root.get_data() < data
						if right_child is None:
									return root
						else:
									root.set_right(del_node(_SCREAMING_SNAKE_CASE,_SCREAMING_SNAKE_CASE ) )

			if get_height(_SCREAMING_SNAKE_CASE ) - get_height(_SCREAMING_SNAKE_CASE ) == 2:
						assert right_child is not None
						if get_height(right_child.get_right() ) > get_height(right_child.get_left() ):
									__A=	left_rotation(_SCREAMING_SNAKE_CASE )
						else:
									__A=	rl_rotation(_SCREAMING_SNAKE_CASE )
			elif get_height(_SCREAMING_SNAKE_CASE ) - get_height(_SCREAMING_SNAKE_CASE ) == -2:
						assert left_child is not None
						if get_height(left_child.get_left() ) > get_height(left_child.get_right() ):
									__A=	right_rotation(_SCREAMING_SNAKE_CASE )
						else:
									__A=	lr_rotation(_SCREAMING_SNAKE_CASE )
			__A=	my_max(get_height(root.get_right() ),get_height(root.get_left() ) ) + 1
			root.set_height(_SCREAMING_SNAKE_CASE )
			return root
class 						a__					:





			'''simple docstring'''

			def __init__(  self							:			List[Any]	)      ->		None:
						__A=	None
			def 					lowerCAmelCase     (  self							:			Optional[Any]	)      ->		int:
						return get_height(self.root	)
			def 					lowerCAmelCase     (  self							:			List[Any]			,    lowerCAmelCase_							:			Any	)      ->		None:
						print('insert:' + str(lowerCAmelCase_	)	)
						__A=	insert_node(self.root			,    lowerCAmelCase_	)
			def 					lowerCAmelCase     (  self							:			List[str]			,    lowerCAmelCase_							:			Any	)      ->		None:
						print('delete:' + str(lowerCAmelCase_	)	)
						if self.root is None:
									print('Tree is empty!'	)
									return
						__A=	del_node(self.root			,    lowerCAmelCase_	)

			def __str__(  self							:			Any			,    )      ->		str:  # a level traversale, gives a more intuitive look on the tree
						__A=	''
						__A=	MyQueue()
						q.push(self.root	)
						__A=	self.get_height()
						if layer == 0:
									return output
						__A=	0
						while not q.is_empty():
									__A=	q.pop()
									__A=	' ' * int(math.pow(2			,    layer - 1	)	)
									output += space
									if node is None:
												output += "*"
												q.push(lowerCAmelCase_	)
												q.push(lowerCAmelCase_	)
									else:
												output += str(node.get_data()	)
												q.push(node.get_left()	)
												q.push(node.get_right()	)
									output += space
									__A=	cnt + 1
									for i in range(100	):
												if cnt == math.pow(2			,    lowerCAmelCase_	) - 1:
															__A=	layer - 1
															if layer == 0:
																		output += "\n*************************************"
																		return output
															output += "\n"
															break
						output += "\n*************************************"
						return output






def 						UpperCAmelCase__(				):






			"""simple docstring"""




			import doctest

			doctest.testmod()


if __name__ == "__main__":
					_test()
					UpperCAmelCase__  			=				AVLtree()
					UpperCAmelCase__  			=				list(range(1_0))
					random.shuffle(lst)
					for i in lst:
										t.insert(i)
										print(str(t))
					random.shuffle(lst)
					for i in lst:
										t.del_node(i)
										print(str(t))







'''simple docstring'''





import re

from filelock import FileLock


try:
					import nltk

					UpperCAmelCase__  			=				True
except (ImportError, ModuleNotFoundError):
					UpperCAmelCase__  			=				False

if NLTK_AVAILABLE:
					with FileLock('''.lock''') as lock:
										nltk.download('''punkt''', quiet=True)






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: str ):






			"""simple docstring"""




			re.sub('<n>','',_SCREAMING_SNAKE_CASE )  # remove pegasus newline char
			assert NLTK_AVAILABLE, "nltk must be installed to separate newlines between sentences. (pip install nltk)"
			return "\n".join(nltk.sent_tokenize(_SCREAMING_SNAKE_CASE ) )



