





"""simple docstring"""




from __future__ import annotations

import math
import random
from typing import Any




class 			_a						:






				def __init__(			self		:   Optional[Any]							)     ->				None:




										'''simple docstring'''



										_UpperCamelCase      : list[Any]         =   []
										_UpperCamelCase      : int         =   0
										_UpperCamelCase      : int         =   0






				def     snake_case     (			self		:   List[Any]							)     ->				bool:




										'''simple docstring'''



										return self.head == self.tail






				def     snake_case     (			self		:   Tuple,			lowerCAmelCase__		:   Any							)     ->				None:




										'''simple docstring'''



										self.data.append(lowerCAmelCase__							)
										_UpperCamelCase      : Optional[int]         =   self.tail + 1






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




										'''simple docstring'''



										_UpperCamelCase      : Optional[Any]         =   self.data[self.head]
										_UpperCamelCase      : str         =   self.head + 1
										return ret






				def     snake_case     (			self		:   int							)     ->				int:




										'''simple docstring'''



										return self.tail - self.head






				def     snake_case     (			self		:   Optional[Any]							)     ->				None:




										'''simple docstring'''



										print(self.data							)
										print('''**************'''							)
										print(self.data[self.head : self.tail]							)




class 			_a						:






				def __init__(			self		:   List[Any],			lowerCAmelCase__		:   Any							)     ->				None:




										'''simple docstring'''



										_UpperCamelCase      : Tuple         =   data
										_UpperCamelCase      : MyNode | None         =   None
										_UpperCamelCase      : MyNode | None         =   None
										_UpperCamelCase      : int         =   1






				def     snake_case     (			self		:   Any							)     ->				Any:




										'''simple docstring'''



										return self.data






				def     snake_case     (			self		:   int							)     ->				MyNode | None:




										'''simple docstring'''



										return self.left






				def     snake_case     (			self		:   Any							)     ->				MyNode | None:




										'''simple docstring'''



										return self.right






				def     snake_case     (			self		:   int							)     ->				int:




										'''simple docstring'''



										return self.height






				def     snake_case     (			self		:   List[str],			lowerCAmelCase__		:   Any							)     ->				None:




										'''simple docstring'''



										_UpperCamelCase      : Optional[Any]         =   data






				def     snake_case     (			self		:   Optional[Any],			lowerCAmelCase__		:   MyNode | None							)     ->				None:




										'''simple docstring'''



										_UpperCamelCase      : List[str]         =   node






				def     snake_case     (			self		:   Optional[int],			lowerCAmelCase__		:   MyNode | None							)     ->				None:




										'''simple docstring'''



										_UpperCamelCase      : Optional[int]         =   node






				def     snake_case     (			self		:   List[Any],			lowerCAmelCase__		:   int							)     ->				None:




										'''simple docstring'''



										_UpperCamelCase      : List[str]         =   height





def 	a_    (							_lowercase       ):
						if node is None:
												return 0
						return node.get_height()





def 	a_    (							_lowercase	,						_lowercase       ):
						if a > b:
												return a
						return b





def 	a_    (							_lowercase       ):
						print('''left rotation node:'''	,						node.get_data()       )
						_UpperCamelCase      : List[Any]         =   node.get_left()
						assert ret is not None
						node.set_left(ret.get_right()       )
						ret.set_right(_lowercase       )
						_UpperCamelCase      : str         =   my_max(get_height(node.get_right()       )	,						get_height(node.get_left()       )       ) + 1
						node.set_height(_lowercase       )
						_UpperCamelCase      : str         =   my_max(get_height(ret.get_right()       )	,						get_height(ret.get_left()       )       ) + 1
						ret.set_height(_lowercase       )
						return ret





def 	a_    (							_lowercase       ):
						print('''right rotation node:'''	,						node.get_data()       )
						_UpperCamelCase      : Dict         =   node.get_right()
						assert ret is not None
						node.set_right(ret.get_left()       )
						ret.set_left(_lowercase       )
						_UpperCamelCase      : Any         =   my_max(get_height(node.get_right()       )	,						get_height(node.get_left()       )       ) + 1
						node.set_height(_lowercase       )
						_UpperCamelCase      : Optional[int]         =   my_max(get_height(ret.get_right()       )	,						get_height(ret.get_left()       )       ) + 1
						ret.set_height(_lowercase       )
						return ret





def 	a_    (							_lowercase       ):
						_UpperCamelCase      : Dict         =   node.get_left()
						assert left_child is not None
						node.set_left(left_rotation(_lowercase       )       )
						return right_rotation(_lowercase       )





def 	a_    (							_lowercase       ):
						_UpperCamelCase      : int         =   node.get_right()
						assert right_child is not None
						node.set_right(right_rotation(_lowercase       )       )
						return left_rotation(_lowercase       )





def 	a_    (							_lowercase	,						_lowercase       ):
						if node is None:
												return MyNode(_lowercase       )
						if data < node.get_data():
												node.set_left(insert_node(node.get_left()	,						_lowercase       )       )
												if (
												    get_height(node.get_left()       ) - get_height(node.get_right()       ) == 2
												):  # an unbalance detected
																		_UpperCamelCase      : Union[str, 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
																								_UpperCamelCase      : Dict         =   right_rotation(_lowercase       )
																		else:
																								_UpperCamelCase      : Optional[Any]         =   lr_rotation(_lowercase       )
						else:
												node.set_right(insert_node(node.get_right()	,						_lowercase       )       )
												if get_height(node.get_right()       ) - get_height(node.get_left()       ) == 2:
																		_UpperCamelCase      : str         =   node.get_right()
																		assert right_child is not None
																		if data < right_child.get_data():
																								_UpperCamelCase      : Dict         =   rl_rotation(_lowercase       )
																		else:
																								_UpperCamelCase      : Any         =   left_rotation(_lowercase       )
						_UpperCamelCase      : str         =   my_max(get_height(node.get_right()       )	,						get_height(node.get_left()       )       ) + 1
						node.set_height(_lowercase       )
						return node





def 	a_    (							_lowercase       ):
						while True:
												_UpperCamelCase      : str         =   root.get_right()
												if right_child is None:
																		break
												_UpperCamelCase      : List[Any]         =   right_child
						return root.get_data()





def 	a_    (							_lowercase       ):
						while True:
												_UpperCamelCase      : List[Any]         =   root.get_left()
												if left_child is None:
																		break
												_UpperCamelCase      : List[Any]         =   left_child
						return root.get_data()





def 	a_    (							_lowercase	,						_lowercase       ):
						_UpperCamelCase      : List[Any]         =   root.get_left()
						_UpperCamelCase      : Tuple         =   root.get_right()
						if root.get_data() == data:
												if left_child is not None and right_child is not None:
																		_UpperCamelCase      : Tuple         =   get_left_most(_lowercase       )
																		root.set_data(_lowercase       )
																		root.set_right(del_node(_lowercase	,						_lowercase       )       )
												elif left_child is not None:
																		_UpperCamelCase      : Any         =   left_child
												elif right_child is not None:
																		_UpperCamelCase      : int         =   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(_lowercase	,						_lowercase       )       )
						else:  # root.get_data() < data
												if right_child is None:
																		return root
												else:
																		root.set_right(del_node(_lowercase	,						_lowercase       )       )

						if get_height(_lowercase       ) - get_height(_lowercase       ) == 2:
												assert right_child is not None
												if get_height(right_child.get_right()       ) > get_height(right_child.get_left()       ):
																		_UpperCamelCase      : Tuple         =   left_rotation(_lowercase       )
												else:
																		_UpperCamelCase      : int         =   rl_rotation(_lowercase       )
						elif get_height(_lowercase       ) - get_height(_lowercase       ) == -2:
												assert left_child is not None
												if get_height(left_child.get_left()       ) > get_height(left_child.get_right()       ):
																		_UpperCamelCase      : Union[str, Any]         =   right_rotation(_lowercase       )
												else:
																		_UpperCamelCase      : Union[str, Any]         =   lr_rotation(_lowercase       )
						_UpperCamelCase      : List[Any]         =   my_max(get_height(root.get_right()       )	,						get_height(root.get_left()       )       ) + 1
						root.set_height(_lowercase       )
						return root




class 			_a						:






				def __init__(			self		:   List[Any]							)     ->				None:




										'''simple docstring'''



										_UpperCamelCase      : MyNode | None         =   None






				def     snake_case     (			self		:   str							)     ->				int:




										'''simple docstring'''



										return get_height(self.root							)






				def     snake_case     (			self		:   Optional[int],			lowerCAmelCase__		:   Any							)     ->				None:




										'''simple docstring'''



										print('''insert:''' + str(lowerCAmelCase__							)							)
										_UpperCamelCase      : List[str]         =   insert_node(self.root,			lowerCAmelCase__							)






				def     snake_case     (			self		:   List[Any],			lowerCAmelCase__		:   Any							)     ->				None:




										'''simple docstring'''



										print('''delete:''' + str(lowerCAmelCase__							)							)
										if self.root is None:
																print('''Tree is empty!'''							)
																return
										_UpperCamelCase      : Any         =   del_node(self.root,			lowerCAmelCase__							)






				def __str__(			self		:   Any,			)     ->				str:  # a level traversale, gives a more intuitive look on the tree




										'''simple docstring'''



										_UpperCamelCase      : int         =   ''''''
										_UpperCamelCase      : Tuple         =   MyQueue()
										q.push(self.root							)
										_UpperCamelCase      : List[str]         =   self.get_height()
										if layer == 0:
																return output
										_UpperCamelCase      : Dict         =   0
										while not q.is_empty():
																_UpperCamelCase      : Union[str, Any]         =   q.pop()
																_UpperCamelCase      : Optional[Any]         =   ''' ''' * 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
																_UpperCamelCase      : List[str]         =   cnt + 1
																for i in range(1_0_0							):
																						if cnt == math.pow(2,			lowerCAmelCase__							) - 1:
																												_UpperCamelCase      : str         =   layer - 1
																												if layer == 0:
																																		output += "\n*************************************"
																																		return output
																												output += "\n"
																												break
										output += "\n*************************************"
										return output





def 	a_    (							):
						import doctest

						doctest.testmod()


if __name__ == "__main__":
						_test()
						UpperCamelCase_									=AVLtree()
						UpperCamelCase_									=list(range(10))
						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 numpy as np
import torch
from imwatermark import WatermarkEncoder


# Copied from https://github.com/Stability-AI/generative-models/blob/613af104c6b85184091d42d374fef420eddb356d/scripts/demo/streamlit_helpers.py#L66
UpperCamelCase_									=0b1_0_1_1_0_0_1_1_1_1_1_0_1_1_0_0_1_0_0_1_0_0_0_0_0_1_1_1_1_0_1_1_1_0_1_1_0_0_0_1_1_0_0_1_1_1_1_0
# bin(x)[2:] gives bits of x as str, use int to convert them to 0/1
UpperCamelCase_									=[int(bit) for bit in bin(WATERMARK_MESSAGE)[2:]]




class 			_a						:






				def __init__(			self		:   str							)     ->				str:




										'''simple docstring'''



										_UpperCamelCase      : str         =   WATERMARK_BITS
										_UpperCamelCase      : Optional[int]         =   WatermarkEncoder()

										self.encoder.set_watermark('''bits''',			self.watermark							)






				def     snake_case     (			self		:   Dict,			lowerCAmelCase__		:   torch.FloatTensor							)     ->				int:




										'''simple docstring'''



										if images.shape[-1] < 2_5_6:
																return images

										_UpperCamelCase      : Union[str, Any]         =   (2_5_5 * (images / 2 + 0.5)).cpu().permute(0,			2,			3,			1							).float().numpy()

										_UpperCamelCase      : List[str]         =   [self.encoder.encode(lowerCAmelCase__,			'''dwtDct'''							) for image in images]

										_UpperCamelCase      : Dict         =   torch.from_numpy(np.array(lowerCAmelCase__							)							).permute(0,			3,			1,			2							)

										_UpperCamelCase      : Optional[int]         =   torch.clamp(2 * (images / 2_5_5 - 0.5),			min=-1.0,			max=1.0							)
										return images



