



"""simple docstring"""






from __future__ import annotations

import math
import random
from typing import Any

class  __SCREAMING_SNAKE_CASE			:


					'''simple docstring'''





					def __init__( self							:						Tuple  )->      Dict:
										lowerCamelCase__	:	Optional[int]				=[]
										lowerCamelCase__	:	str				=0
										lowerCamelCase__	:	Tuple				=0



					def 	snake_case ( self							:						List[str]  )->      List[str]:
										return self.head == self.tail



					def 	snake_case ( self							:						str,						lowerCamelCase							:						Optional[int]  )->      int:
										self.data.append(lowerCamelCase  )
										lowerCamelCase__	:	List[Any]				=self.tail + 1



					def 	snake_case ( self							:						str  )->      Any:
										lowerCamelCase__	:	int				=self.data[self.head]
										lowerCamelCase__	:	Tuple				=self.head + 1
										return ret



					def 	snake_case ( self							:						Union[str, Any]  )->      str:
										return self.tail - self.head




					def 	snake_case ( self							:						Tuple  )->      int:
										print(self.data  )
										print('''**************'''  )
										print(self.data[self.head : self.tail]  )





class  __SCREAMING_SNAKE_CASE			:


					'''simple docstring'''





					def __init__( self							:						str,						lowerCamelCase							:						int  )->      Optional[Any]:
										lowerCamelCase__	:	Any				=data
										lowerCamelCase__	:	Union[str, Any]				=None
										lowerCamelCase__	:	Dict				=None
										lowerCamelCase__	:	Any				=1



					def 	snake_case ( self							:						str  )->      Tuple:
										return self.data



					def 	snake_case ( self							:						str  )->      Dict:
										return self.left



					def 	snake_case ( self							:						Tuple  )->      List[Any]:
										return self.right



					def 	snake_case ( self							:						Tuple  )->      Union[str, Any]:
										return self.height



					def 	snake_case ( self							:						Optional[Any],						lowerCamelCase							:						Dict  )->      List[str]:
										lowerCamelCase__	:	Union[str, Any]				=data



					def 	snake_case ( self							:						Optional[int],						lowerCamelCase							:						List[Any]  )->      List[Any]:
										lowerCamelCase__	:	Union[str, Any]				=node



					def 	snake_case ( self							:						int,						lowerCamelCase							:						Tuple  )->      Union[str, Any]:
										lowerCamelCase__	:	Dict				=node




					def 	snake_case ( self							:						Dict,						lowerCamelCase							:						Any  )->      str:
										lowerCamelCase__	:	str				=height






def   snake_case__     (	__lowerCamelCase       :					Any			):
					"""simple docstring"""
					if node is None:
										return 0
					return node.get_height()






def   snake_case__     (	__lowerCamelCase       :					Tuple							,	__lowerCamelCase       :					int			):
					"""simple docstring"""
					if a > b:
										return a
					return b






def   snake_case__     (	__lowerCamelCase       :					Dict			):
					"""simple docstring"""
					print('''left rotation node:'''							,	node.get_data()			)
					lowerCamelCase__	:	str				=node.get_left()
					assert ret is not None
					node.set_left(ret.get_right()			)
					ret.set_right(__SCREAMING_SNAKE_CASE			)
					lowerCamelCase__	:	Any				=my_max(get_height(node.get_right()			)							,	get_height(node.get_left()			)			) + 1
					node.set_height(__SCREAMING_SNAKE_CASE			)
					lowerCamelCase__	:	str				=my_max(get_height(ret.get_right()			)							,	get_height(ret.get_left()			)			) + 1
					ret.set_height(__SCREAMING_SNAKE_CASE			)
					return ret






def   snake_case__     (	__lowerCamelCase       :					str			):
					"""simple docstring"""
					print('''right rotation node:'''							,	node.get_data()			)
					lowerCamelCase__	:	Tuple				=node.get_right()
					assert ret is not None
					node.set_right(ret.get_left()			)
					ret.set_left(__SCREAMING_SNAKE_CASE			)
					lowerCamelCase__	:	Optional[int]				=my_max(get_height(node.get_right()			)							,	get_height(node.get_left()			)			) + 1
					node.set_height(__SCREAMING_SNAKE_CASE			)
					lowerCamelCase__	:	str				=my_max(get_height(ret.get_right()			)							,	get_height(ret.get_left()			)			) + 1
					ret.set_height(__SCREAMING_SNAKE_CASE			)
					return ret






def   snake_case__     (	__lowerCamelCase       :					Optional[int]			):
					"""simple docstring"""
					lowerCamelCase__	:	int				=node.get_left()
					assert left_child is not None
					node.set_left(left_rotation(__SCREAMING_SNAKE_CASE			)			)
					return right_rotation(__SCREAMING_SNAKE_CASE			)






def   snake_case__     (	__lowerCamelCase       :					str			):
					"""simple docstring"""
					lowerCamelCase__	:	List[Any]				=node.get_right()
					assert right_child is not None
					node.set_right(right_rotation(__SCREAMING_SNAKE_CASE			)			)
					return left_rotation(__SCREAMING_SNAKE_CASE			)






def   snake_case__     (	__lowerCamelCase       :					Optional[int]							,	__lowerCamelCase       :					Dict			):
					"""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
															lowerCamelCase__	:	List[Any]				=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
																				lowerCamelCase__	:	int				=right_rotation(__SCREAMING_SNAKE_CASE			)
															else:
																				lowerCamelCase__	:	Any				=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:
															lowerCamelCase__	:	Tuple				=node.get_right()
															assert right_child is not None
															if data < right_child.get_data():
																				lowerCamelCase__	:	Optional[int]				=rl_rotation(__SCREAMING_SNAKE_CASE			)
															else:
																				lowerCamelCase__	:	Optional[int]				=left_rotation(__SCREAMING_SNAKE_CASE			)
					lowerCamelCase__	:	Dict				=my_max(get_height(node.get_right()			)							,	get_height(node.get_left()			)			) + 1
					node.set_height(__SCREAMING_SNAKE_CASE			)
					return node






def   snake_case__     (	__lowerCamelCase       :					Any			):
					"""simple docstring"""
					while True:
										lowerCamelCase__	:	List[Any]				=root.get_right()
										if right_child is None:
															break
										lowerCamelCase__	:	Optional[Any]				=right_child
					return root.get_data()






def   snake_case__     (	__lowerCamelCase       :					Tuple			):
					"""simple docstring"""
					while True:
										lowerCamelCase__	:	Dict				=root.get_left()
										if left_child is None:
															break
										lowerCamelCase__	:	int				=left_child
					return root.get_data()






def   snake_case__     (	__lowerCamelCase       :					List[Any]							,	__lowerCamelCase       :					Any			):
					"""simple docstring"""
					lowerCamelCase__	:	List[Any]				=root.get_left()
					lowerCamelCase__	:	Tuple				=root.get_right()
					if root.get_data() == data:
										if left_child is not None and right_child is not None:
															lowerCamelCase__	:	List[Any]				=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:
															lowerCamelCase__	:	List[Any]				=left_child
										elif right_child is not None:
															lowerCamelCase__	:	List[Any]				=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()			):
															lowerCamelCase__	:	Optional[Any]				=left_rotation(__SCREAMING_SNAKE_CASE			)
										else:
															lowerCamelCase__	:	int				=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()			):
															lowerCamelCase__	:	List[str]				=right_rotation(__SCREAMING_SNAKE_CASE			)
										else:
															lowerCamelCase__	:	Any				=lr_rotation(__SCREAMING_SNAKE_CASE			)
					lowerCamelCase__	:	Tuple				=my_max(get_height(root.get_right()			)							,	get_height(root.get_left()			)			) + 1
					root.set_height(__SCREAMING_SNAKE_CASE			)
					return root

class  __SCREAMING_SNAKE_CASE			:


					'''simple docstring'''





					def __init__( self							:						Optional[Any]  )->      List[str]:
										lowerCamelCase__	:	Any				=None



					def 	snake_case ( self							:						Tuple  )->      List[str]:
										return get_height(self.root  )



					def 	snake_case ( self							:						Tuple,						lowerCamelCase							:						Dict  )->      List[Any]:
										print('''insert:''' + str(lowerCamelCase  )  )
										lowerCamelCase__	:	Optional[int]				=insert_node(self.root,						lowerCamelCase  )



					def 	snake_case ( self							:						int,						lowerCamelCase							:						str  )->      List[str]:
										print('''delete:''' + str(lowerCamelCase  )  )
										if self.root is None:
															print('''Tree is empty!'''  )
															return
										lowerCamelCase__	:	Union[str, Any]				=del_node(self.root,						lowerCamelCase  )




					def __str__( self							:						Any,						)->      List[str]:  # a level traversale, gives a more intuitive look on the tree
										lowerCamelCase__	:	Optional[int]				=''''''
										lowerCamelCase__	:	Optional[int]				=MyQueue()
										q.push(self.root  )
										lowerCamelCase__	:	str				=self.get_height()
										if layer == 0:
															return output
										lowerCamelCase__	:	Optional[Any]				=0
										while not q.is_empty():
															lowerCamelCase__	:	List[Any]				=q.pop()
															lowerCamelCase__	:	str				=''' ''' * 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
															lowerCamelCase__	:	Optional[Any]				=cnt + 1
															for i in range(100  ):
																				if cnt == math.pow(2,						lowerCamelCase  ) - 1:
																									lowerCamelCase__	:	Any				=layer - 1
																									if layer == 0:
																														output += "\n*************************************"
																														return output
																									output += "\n"
																									break
										output += "\n*************************************"
										return output






def   snake_case__     (	):
					"""simple docstring"""
					import doctest

					doctest.testmod()


if __name__ == "__main__":
		_test()
		_lowercase				:				Optional[Any]   		=		AVLtree()
		_lowercase				:				int   		=		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"""






def   snake_case__     (	__lowerCamelCase       :					list							,	__lowerCamelCase       :					list							,	__lowerCamelCase       :					int							,	__lowerCamelCase       :					int							,	__lowerCamelCase       :					int			):
			"""simple docstring"""
			if index == number_of_items:
						return 0
			lowerCamelCase__	:	Optional[int]				=0
			lowerCamelCase__	:	Union[str, Any]				=0
			lowerCamelCase__	:	List[str]				=knapsack(__lowerCamelCase							,	__lowerCamelCase							,	__lowerCamelCase							,	__lowerCamelCase							,	index + 1			)
			if weights[index] <= max_weight:
						lowerCamelCase__	:	Dict				=values[index] + knapsack(
						    __lowerCamelCase							,	__lowerCamelCase							,	__lowerCamelCase							,	max_weight - weights[index]							,	index + 1			)
			return max(__lowerCamelCase							,	__lowerCamelCase			)


if __name__ == "__main__":
		import doctest

		doctest.testmod()




