






from __future__ import annotations

import unittest
from collections.abc import Iterator
class 					a_:



     """simple docstring"""



     def __init__(						self			:					Tuple       ,       lowerCAmelCase__			:					int       ,       lowerCAmelCase__			:					Node | None)    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						label
      SCREAMING_SNAKE_CASE							  =						parent
      SCREAMING_SNAKE_CASE							  =						None
      SCREAMING_SNAKE_CASE							  =						None

class 					a_:



     """simple docstring"""



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

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						None





     def   __UpperCamelCase		(						self			:					Tuple)    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						None





     def   __UpperCamelCase		(						self			:					Any)    ->					bool:

      """simple docstring"""
      return self.root is None





     def   __UpperCamelCase		(						self			:					List[str]       ,       lowerCAmelCase__			:					int)    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self._put(self.root       ,       lowerCAmelCase__)





     def   __UpperCamelCase		(						self			:					int       ,       lowerCAmelCase__			:					Node | None       ,       lowerCAmelCase__			:					int       ,       lowerCAmelCase__			:					Node | None = None)    ->					Node:

      """simple docstring"""
      if node is None:
       SCREAMING_SNAKE_CASE							  =						Node(lowerCAmelCase__       ,       lowerCAmelCase__)
      else:
       if label < node.label:
        SCREAMING_SNAKE_CASE							  =						self._put(node.left       ,       lowerCAmelCase__       ,       lowerCAmelCase__)
       elif label > node.label:
        SCREAMING_SNAKE_CASE							  =						self._put(node.right       ,       lowerCAmelCase__       ,       lowerCAmelCase__)
       else:
        SCREAMING_SNAKE_CASE							  =						f'''Node with label {label} already exists'''
        raise Exception(lowerCAmelCase__)

      return node





     def   __UpperCamelCase		(						self			:					Dict       ,       lowerCAmelCase__			:					int)    ->					Node:

      """simple docstring"""
      return self._search(self.root       ,       lowerCAmelCase__)





     def   __UpperCamelCase		(						self			:					List[Any]       ,       lowerCAmelCase__			:					Node | None       ,       lowerCAmelCase__			:					int)    ->					Node:

      """simple docstring"""
      if node is None:
       SCREAMING_SNAKE_CASE							  =						f'''Node with label {label} does not exist'''
       raise Exception(lowerCAmelCase__)
      else:
       if label < node.label:
        SCREAMING_SNAKE_CASE							  =						self._search(node.left       ,       lowerCAmelCase__)
       elif label > node.label:
        SCREAMING_SNAKE_CASE							  =						self._search(node.right       ,       lowerCAmelCase__)

      return node





     def   __UpperCamelCase		(						self			:					Dict       ,       lowerCAmelCase__			:					int)    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self.search(lowerCAmelCase__)
      if node.right and node.left:
       SCREAMING_SNAKE_CASE							  =						self._get_lowest_node(node.right)
       SCREAMING_SNAKE_CASE							  =						node.left
       SCREAMING_SNAKE_CASE							  =						node.right
       SCREAMING_SNAKE_CASE							  =						lowest_node
       if node.right:
        SCREAMING_SNAKE_CASE							  =						lowest_node
       self._reassign_nodes(lowerCAmelCase__       ,       lowerCAmelCase__)
      elif not node.right and node.left:
       self._reassign_nodes(lowerCAmelCase__       ,       node.left)
      elif node.right and not node.left:
       self._reassign_nodes(lowerCAmelCase__       ,       node.right)
      else:
       self._reassign_nodes(lowerCAmelCase__       ,       lowerCAmelCase__)





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

      """simple docstring"""
      if new_children:
       SCREAMING_SNAKE_CASE							  =						node.parent

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





     def   __UpperCamelCase		(						self			:					Dict       ,       lowerCAmelCase__			:					Node)    ->					Node:

      """simple docstring"""
      if node.left:
       SCREAMING_SNAKE_CASE							  =						self._get_lowest_node(node.left)
      else:
       SCREAMING_SNAKE_CASE							  =						node
       self._reassign_nodes(lowerCAmelCase__       ,       node.right)

      return lowest_node





     def   __UpperCamelCase		(						self			:					int       ,       lowerCAmelCase__			:					int)    ->					bool:

      """simple docstring"""
      try:
       self.search(lowerCAmelCase__)
       return True
      except Exception:
       return False





     def   __UpperCamelCase		(						self			:					Optional[int])    ->					int:

      """simple docstring"""
      if self.root is None:
       raise Exception('Binary search tree is empty')

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

      return node.label





     def   __UpperCamelCase		(						self			:					Any)    ->					int:

      """simple docstring"""
      if self.root is None:
       raise Exception('Binary search tree is empty')

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

      return node.label





     def   __UpperCamelCase		(						self			:					str)    ->					Iterator[Node]:

      """simple docstring"""
      return self._inorder_traversal(self.root)





     def   __UpperCamelCase		(						self			:					str       ,       lowerCAmelCase__			:					Node | None)    ->					Iterator[Node]:

      """simple docstring"""
      if node is not None:
       yield from self._inorder_traversal(node.left)
       yield node
       yield from self._inorder_traversal(node.right)





     def   __UpperCamelCase		(						self			:					List[str])    ->					Iterator[Node]:

      """simple docstring"""
      return self._preorder_traversal(self.root)





     def   __UpperCamelCase		(						self			:					Optional[int]       ,       lowerCAmelCase__			:					Node | None)    ->					Iterator[Node]:

      """simple docstring"""
      if node is not None:
       yield node
       yield from self._preorder_traversal(node.left)
       yield from self._preorder_traversal(node.right)

class 					a_(						unittest.TestCase					):



     """simple docstring"""



     @staticmethod
     def   __UpperCamelCase		(						)    ->					BinarySearchTree:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						BinarySearchTree()
      t.put(8)
      t.put(3)
      t.put(6)
      t.put(1)
      t.put(1_0)
      t.put(1_4)
      t.put(1_3)
      t.put(4)
      t.put(7)
      t.put(5)

      return t





     def   __UpperCamelCase		(						self			:					List[str])    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						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(1_0)
      assert t.root.right is not None
      assert t.root.right.parent == t.root
      assert t.root.right.label == 1_0

      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(lowerCAmelCase__):  # noqa: B017
       t.put(1)





     def   __UpperCamelCase		(						self			:					Tuple)    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self._get_binary_search_tree()

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

      SCREAMING_SNAKE_CASE							  =						t.search(1_3)
      assert node.label == 1_3

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





     def   __UpperCamelCase		(						self			:					Union[str, Any])    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self._get_binary_search_tree()

      t.remove(1_3)
      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   __UpperCamelCase		(						self			:					Optional[Any])    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						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   __UpperCamelCase		(						self			:					Union[str, Any])    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self._get_binary_search_tree()
      t.empty()
      assert t.root is None





     def   __UpperCamelCase		(						self			:					Dict)    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self._get_binary_search_tree()
      assert not t.is_empty()

      t.empty()
      assert t.is_empty()





     def   __UpperCamelCase		(						self			:					Tuple)    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self._get_binary_search_tree()

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





     def   __UpperCamelCase		(						self			:					Any)    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self._get_binary_search_tree()

      assert t.get_max_label() == 1_4

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





     def   __UpperCamelCase		(						self			:					Optional[int])    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self._get_binary_search_tree()

      assert t.get_min_label() == 1

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





     def   __UpperCamelCase		(						self			:					Tuple)    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self._get_binary_search_tree()

      SCREAMING_SNAKE_CASE							  =						[i.label for i in t.inorder_traversal()]
      assert inorder_traversal_nodes == [1, 3, 4, 5, 6, 7, 8, 1_0, 1_3, 1_4]





     def   __UpperCamelCase		(						self			:					Union[str, Any])    ->					None:

      """simple docstring"""
      SCREAMING_SNAKE_CASE							  =						self._get_binary_search_tree()

      SCREAMING_SNAKE_CASE							  =						[i.label for i in t.preorder_traversal()]
      assert preorder_traversal_nodes == [8, 3, 1, 6, 4, 5, 7, 1_0, 1_4, 1_3]





def 		A_			(		)							->None:







 """simple docstring"""

 SCREAMING_SNAKE_CASE							  =						BinarySearchTree()
 t.put(8	)
 t.put(3	)
 t.put(6	)
 t.put(1	)
 t.put(1_0	)
 t.put(1_4	)
 t.put(1_3	)
 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(1_3	)	)
 print('Label -1 exists:'					,       t.exists(-1	)	)
 print('Label 12 exists:'					,       t.exists(1_2	)	)

 # Prints all the elements of the list in inorder traversal
 SCREAMING_SNAKE_CASE							  =						[i.label for i in t.inorder_traversal()]
 print('Inorder traversal:'					,       lowercase_	)

 # Prints all the elements of the list in preorder traversal
 SCREAMING_SNAKE_CASE							  =						[i.label for i in t.preorder_traversal()]
 print('Preorder traversal:'					,       lowercase_	)

 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(1_3	)
 t.remove(1_0	)
 t.remove(8	)
 t.remove(3	)
 t.remove(6	)
 t.remove(1_4	)

 # Prints all the elements of the list in inorder traversal after delete
 SCREAMING_SNAKE_CASE							  =						[i.label for i in t.inorder_traversal()]
 print('Inorder traversal after delete:'					,       lowercase_	)

 # Prints all the elements of the list in preorder traversal after delete
 SCREAMING_SNAKE_CASE							  =						[i.label for i in t.preorder_traversal()]
 print('Preorder traversal after delete:'					,       lowercase_	)

 print('Max. label:'					,       t.get_max_label()	)
 print('Min. label:'					,       t.get_min_label()	)


if __name__ == "__main__":
      binary_search_tree_example()












import random
from typing import List, Optional, Union

import numpy as np
import torch

from ..state import AcceleratorState
from .constants import CUDA_DISTRIBUTED_TYPES
from .dataclasses import DistributedType, RNGType
from .imports import is_npu_available, is_tpu_available, is_xpu_available


if is_tpu_available(check_device=False):
      import torch_xla.core.xla_model as xm





def 		A_			(		lowercase_					,       lowercase_ = False	)							->Union[str, Any]:







 """simple docstring"""

 if device_specific:
  seed += AcceleratorState().process_index
 random.seed(lowercase_	)
 np.random.seed(lowercase_	)
 torch.manual_seed(lowercase_	)
 if is_xpu_available():
  torch.xpu.manual_seed_all(lowercase_	)
 elif is_npu_available():
  torch.npu.manual_seed_all(lowercase_	)
 else:
  torch.cuda.manual_seed_all(lowercase_	)
 # ^^ safe to call this function even if cuda is not available
 if is_tpu_available():
  xm.set_rng_state(lowercase_	)





def 		A_			(		lowercase_ = None					,       lowercase_ = None	)							->Optional[Any]:







 """simple docstring"""

 if rng_type == RNGType.TORCH:
  SCREAMING_SNAKE_CASE							  =						torch.get_rng_state()
 elif rng_type == RNGType.CUDA:
  SCREAMING_SNAKE_CASE							  =						torch.cuda.get_rng_state()
 elif rng_type == RNGType.XLA:
  assert is_tpu_available(), "Can't synchronize XLA seeds on an environment without TPUs."
  SCREAMING_SNAKE_CASE							  =						torch.tensor(xm.get_rng_state()	)
 elif rng_type == RNGType.NPU:
  assert is_npu_available(), "Can't synchronize NPU seeds on an environment without NPUs."
  SCREAMING_SNAKE_CASE							  =						torch.npu.get_rng_state()
 elif rng_type == RNGType.XPU:
  assert is_xpu_available(), "Can't synchronize XPU seeds on an environment without XPUs."
  SCREAMING_SNAKE_CASE							  =						torch.xpu.get_rng_state()
 elif rng_type == RNGType.GENERATOR:
  assert generator is not None, "Need a generator to synchronize its seed."
  SCREAMING_SNAKE_CASE							  =						generator.get_state()

 # Broadcast the rng state from device 0 to other devices
 SCREAMING_SNAKE_CASE							  =						AcceleratorState()
 if state.distributed_type == DistributedType.TPU:
  SCREAMING_SNAKE_CASE							  =						rng_state.to(xm.xla_device()	)
  xm.collective_broadcast([rng_state]	)
  xm.mark_step()
  SCREAMING_SNAKE_CASE							  =						rng_state.cpu()
 elif (
     state.distributed_type in CUDA_DISTRIBUTED_TYPES
     or state.distributed_type == DistributedType.MULTI_NPU
     or state.distributed_type == DistributedType.MULTI_XPU
 ):
  SCREAMING_SNAKE_CASE							  =						rng_state.to(state.device	)
  torch.distributed.broadcast(lowercase_					,       0	)
  SCREAMING_SNAKE_CASE							  =						rng_state.cpu()
 elif state.distributed_type == DistributedType.MULTI_CPU:
  torch.distributed.broadcast(lowercase_					,       0	)

 # Set the broadcast rng state
 if rng_type == RNGType.TORCH:
  torch.set_rng_state(lowercase_	)
 elif rng_type == RNGType.CUDA:
  torch.cuda.set_rng_state(lowercase_	)
 elif rng_type == RNGType.NPU:
  torch.npu.set_rng_state(lowercase_	)
 elif rng_type == RNGType.XPU:
  torch.xpu.set_rng_state(lowercase_	)
 elif rng_type == RNGType.XLA:
  xm.set_rng_state(rng_state.item()	)
 elif rng_type == RNGType.GENERATOR:
  generator.set_state(lowercase_	)





def 		A_			(		lowercase_					,       lowercase_ = None	)							->str:







 """simple docstring"""

 for rng_type in rng_types:
  synchronize_rng_state(RNGType(lowercase_	)					,       generator=lowercase_	)




