




from __future__ import annotations

import unittest
from collections.abc import Iterator





class  __lowerCamelCase       :




    """simple docstring"""

    def __init__(       self     :     Union[str, Any]   ,	SCREAMING_SNAKE_CASE__     :     int   ,	SCREAMING_SNAKE_CASE__     :     Node | None   )      ->       None:
         lowerCAmelCase__		= label
         lowerCAmelCase__		= parent
         lowerCAmelCase__		= None
         lowerCAmelCase__		= None






class  __lowerCamelCase       :




    """simple docstring"""

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


    def    a      (       self     :     Optional[int]   )      ->       None:
         lowerCAmelCase__		= None


    def    a      (       self     :     int   )      ->       bool:
         return self.root is None


    def    a      (       self     :     Dict   ,	SCREAMING_SNAKE_CASE__     :     int   )      ->       None:
         lowerCAmelCase__		= self._put(self.root   ,	SCREAMING_SNAKE_CASE__   )


    def    a      (       self     :     Tuple   ,	SCREAMING_SNAKE_CASE__     :     Node | None   ,	SCREAMING_SNAKE_CASE__     :     int   ,	SCREAMING_SNAKE_CASE__     :     Node | None = None   )      ->       Node:
         if node is None:
              lowerCAmelCase__		= Node(SCREAMING_SNAKE_CASE__   ,	SCREAMING_SNAKE_CASE__   )
         else:
              if label < node.label:
                   lowerCAmelCase__		= self._put(node.left   ,	SCREAMING_SNAKE_CASE__   ,	SCREAMING_SNAKE_CASE__   )
              elif label > node.label:
                   lowerCAmelCase__		= self._put(node.right   ,	SCREAMING_SNAKE_CASE__   ,	SCREAMING_SNAKE_CASE__   )
              else:
                   lowerCAmelCase__		= f'Node with label {label} already exists'
                   raise Exception(SCREAMING_SNAKE_CASE__   )

         return node


    def    a      (       self     :     Dict   ,	SCREAMING_SNAKE_CASE__     :     int   )      ->       Node:
         return self._search(self.root   ,	SCREAMING_SNAKE_CASE__   )


    def    a      (       self     :     Dict   ,	SCREAMING_SNAKE_CASE__     :     Node | None   ,	SCREAMING_SNAKE_CASE__     :     int   )      ->       Node:
         if node is None:
              lowerCAmelCase__		= f'Node with label {label} does not exist'
              raise Exception(SCREAMING_SNAKE_CASE__   )
         else:
              if label < node.label:
                   lowerCAmelCase__		= self._search(node.left   ,	SCREAMING_SNAKE_CASE__   )
              elif label > node.label:
                   lowerCAmelCase__		= self._search(node.right   ,	SCREAMING_SNAKE_CASE__   )

         return node


    def    a      (       self     :     Dict   ,	SCREAMING_SNAKE_CASE__     :     int   )      ->       None:
         lowerCAmelCase__		= self.search(SCREAMING_SNAKE_CASE__   )
         if node.right and node.left:
              lowerCAmelCase__		= self._get_lowest_node(node.right   )
              lowerCAmelCase__		= node.left
              lowerCAmelCase__		= node.right
              lowerCAmelCase__		= lowest_node
              if node.right:
                   lowerCAmelCase__		= lowest_node
              self._reassign_nodes(SCREAMING_SNAKE_CASE__   ,	SCREAMING_SNAKE_CASE__   )
         elif not node.right and node.left:
              self._reassign_nodes(SCREAMING_SNAKE_CASE__   ,	node.left   )
         elif node.right and not node.left:
              self._reassign_nodes(SCREAMING_SNAKE_CASE__   ,	node.right   )
         else:
              self._reassign_nodes(SCREAMING_SNAKE_CASE__   ,	SCREAMING_SNAKE_CASE__   )


    def    a      (       self     :     str   ,	SCREAMING_SNAKE_CASE__     :     Node   ,	SCREAMING_SNAKE_CASE__     :     Node | None   )      ->       None:
         if new_children:
              lowerCAmelCase__		= node.parent

         if node.parent:
              if node.parent.right == node:
                   lowerCAmelCase__		= new_children
              else:
                   lowerCAmelCase__		= new_children
         else:
              lowerCAmelCase__		= new_children


    def    a      (       self     :     Tuple   ,	SCREAMING_SNAKE_CASE__     :     Node   )      ->       Node:
         if node.left:
              lowerCAmelCase__		= self._get_lowest_node(node.left   )
         else:
              lowerCAmelCase__		= node
              self._reassign_nodes(SCREAMING_SNAKE_CASE__   ,	node.right   )

         return lowest_node


    def    a      (       self     :     int   ,	SCREAMING_SNAKE_CASE__     :     int   )      ->       bool:
         try:
              self.search(SCREAMING_SNAKE_CASE__   )
              return True
         except Exception:
              return False


    def    a      (       self     :     Optional[int]   )      ->       int:
         if self.root is None:
              raise Exception("Binary search tree is empty"   )

         lowerCAmelCase__		= self.root
         while node.right is not None:
              lowerCAmelCase__		= node.right

         return node.label


    def    a      (       self     :     Dict   )      ->       int:
         if self.root is None:
              raise Exception("Binary search tree is empty"   )

         lowerCAmelCase__		= self.root
         while node.left is not None:
              lowerCAmelCase__		= node.left

         return node.label


    def    a      (       self     :     Dict   )      ->       Iterator[Node]:
         return self._inorder_traversal(self.root   )


    def    a      (       self     :     List[str]   ,	SCREAMING_SNAKE_CASE__     :     Node | None   )      ->       Iterator[Node]:
         if node is not None:
              yield from self._inorder_traversal(node.left   )
              yield node
              yield from self._inorder_traversal(node.right   )


    def    a      (       self     :     Tuple   )      ->       Iterator[Node]:
         return self._preorder_traversal(self.root   )


    def    a      (       self     :     int   ,	SCREAMING_SNAKE_CASE__     :     Node | None   )      ->       Iterator[Node]:
         if node is not None:
              yield node
              yield from self._preorder_traversal(node.left   )
              yield from self._preorder_traversal(node.right   )






class  __lowerCamelCase       (    unittest.TestCase    ):




    """simple docstring"""

    @staticmethod
    def    a      (       )      ->       BinarySearchTree:
         lowerCAmelCase__		= 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     :     Dict   )      ->       None:
         lowerCAmelCase__		= 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(SCREAMING_SNAKE_CASE__   ):  # noqa: B017
              t.put(1   )


    def    a      (       self     :     int   )      ->       None:
         lowerCAmelCase__		= self._get_binary_search_tree()

         lowerCAmelCase__		= t.search(6   )
         assert node.label == 6

         lowerCAmelCase__		= t.search(13   )
         assert node.label == 13

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


    def    a      (       self     :     Dict   )      ->       None:
         lowerCAmelCase__		= 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     :     Optional[int]   )      ->       None:
         lowerCAmelCase__		= 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     :     str   )      ->       None:
         lowerCAmelCase__		= self._get_binary_search_tree()
         t.empty()
         assert t.root is None


    def    a      (       self     :     Any   )      ->       None:
         lowerCAmelCase__		= self._get_binary_search_tree()
         assert not t.is_empty()

         t.empty()
         assert t.is_empty()


    def    a      (       self     :     str   )      ->       None:
         lowerCAmelCase__		= self._get_binary_search_tree()

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


    def    a      (       self     :     List[str]   )      ->       None:
         lowerCAmelCase__		= self._get_binary_search_tree()

         assert t.get_max_label() == 14

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


    def    a      (       self     :     List[Any]   )      ->       None:
         lowerCAmelCase__		= self._get_binary_search_tree()

         assert t.get_min_label() == 1

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


    def    a      (       self     :     Tuple   )      ->       None:
         lowerCAmelCase__		= self._get_binary_search_tree()

         lowerCAmelCase__		= [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     :     List[Any]   )      ->       None:
         lowerCAmelCase__		= self._get_binary_search_tree()

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






def 							_A   (						):
     """simple docstring"""

     lowerCAmelCase__		= 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(
         "\n            8\n           / \\\n          3   10\n         / \\    \\\n        1   6    14\n           / \\   /\n          4   7 13\n           \\\n            5\n        "			)

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

     # Prints all the elements of the list in preorder traversal
     lowerCAmelCase__		= [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(
         "\n          4\n         / \\\n        1   7\n             \\\n              5\n        "			)
     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
     lowerCAmelCase__		= [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
     lowerCAmelCase__		= [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()






# limitations under the License.


from typing import Optional, Tuple, Union

import torch

from diffusers.pipeline_utils import DiffusionPipeline, ImagePipelineOutput





class  __lowerCamelCase       (    UpperCamelCase__    ):




    """simple docstring"""

    def __init__(       self     :     Union[str, Any]   ,	SCREAMING_SNAKE_CASE__     :     Union[str, Any]   ,	SCREAMING_SNAKE_CASE__     :     Any   )      ->       Union[str, Any]:
         super().__init__()
         self.register_modules(unet=SCREAMING_SNAKE_CASE__   ,	scheduler=SCREAMING_SNAKE_CASE__   )


    @torch.no_grad()
    def __call__(       self     :     Dict   ,	SCREAMING_SNAKE_CASE__     :     int = 1   ,	SCREAMING_SNAKE_CASE__     :     Optional[torch.Generator] = None   ,	SCREAMING_SNAKE_CASE__     :     int = 50   ,	SCREAMING_SNAKE_CASE__     :     Optional[str] = "pil"   ,	SCREAMING_SNAKE_CASE__     :     bool = True   ,	**SCREAMING_SNAKE_CASE__     :     Union[str, Any]   ,	)      ->       Union[ImagePipelineOutput, Tuple]:
         lowerCAmelCase__		= torch.randn(
             (batch_size, self.unet.config.in_channels, self.unet.config.sample_size, self.unet.config.sample_size)   ,	generator=SCREAMING_SNAKE_CASE__   ,	)
         lowerCAmelCase__		= image.to(self.device   )

         # set step values
         self.scheduler.set_timesteps(SCREAMING_SNAKE_CASE__   )

         for t in self.progress_bar(self.scheduler.timesteps   ):
              # 1. predict noise model_output
              lowerCAmelCase__		= self.unet(SCREAMING_SNAKE_CASE__   ,	SCREAMING_SNAKE_CASE__   ).sample

              # 2. predict previous mean of image x_t-1 and add variance depending on eta
              # eta corresponds to η in paper and should be between [0, 1]
              # do x_t -> x_t-1
              lowerCAmelCase__		= self.scheduler.step(SCREAMING_SNAKE_CASE__   ,	SCREAMING_SNAKE_CASE__   ,	SCREAMING_SNAKE_CASE__   ).prev_sample

         lowerCAmelCase__		= (image / 2 + 0.5).clamp(0   ,	1   )
         lowerCAmelCase__		= image.cpu().permute(0   ,	2   ,	3   ,	1   ).numpy()
         if output_type == "pil":
              lowerCAmelCase__		= self.numpy_to_pil(SCREAMING_SNAKE_CASE__   )

         if not return_dict:
              return (image,), "This is a local test"

         return ImagePipelineOutput(images=SCREAMING_SNAKE_CASE__   ), "This is a local test"
