
from collections.abc import Iterable
from typing import Any






class     UpperCAmelCase						:



   def __init__(self						:   Optional[Any]       ,		snake_case__						:   int | None = None					)						->      Any:


          '''simple docstring'''


          snake_case			:  Any     							= value
          snake_case			:  Node | None     							= None  # Added in order to delete a node easier
          snake_case			:  Node | None     							= None
          snake_case			:  Node | None     							= None



   def __repr__(self						:   int					)						->      str:


          '''simple docstring'''


          from pprint import pformat

          if self.left is None and self.right is None:
                 return str(self.value					)
          return pformat({f"""{self.value}""": (self.left, self.right)}       ,		indent=1					)






class     UpperCAmelCase						:



   def __init__(self						:   str       ,		snake_case__						:   Node | None = None					)						->      List[Any]:


          '''simple docstring'''


          snake_case			:  Union[str, Any]     							= root



   def __str__(self						:   List[Any]					)						->      str:


          '''simple docstring'''


          return str(self.root					)



   def 							_SCREAMING_SNAKE_CASE  (self						:   Any       ,		snake_case__						:   Node       ,		snake_case__						:   Node | None					)						->      None:


          '''simple docstring'''


          if new_children is not None:  # reset its kids
                 snake_case			:  List[str]     							= node.parent
          if node.parent is not None:  # reset its parent
                 if self.is_right(snake_case__					):  # If it is the right children
                        snake_case			:  str     							= new_children
                 else:
                        snake_case			:  Dict     							= new_children
          else:
                 snake_case			:  Optional[int]     							= new_children



   def 							_SCREAMING_SNAKE_CASE  (self						:   List[str]       ,		snake_case__						:   Node					)						->      bool:


          '''simple docstring'''


          if node.parent and node.parent.right:
                 return node == node.parent.right
          return False



   def 							_SCREAMING_SNAKE_CASE  (self						:   Tuple					)						->      bool:


          '''simple docstring'''


          return self.root is None



   def 							_SCREAMING_SNAKE_CASE  (self						:   Any       ,		snake_case__						:   Tuple					)						->      None:


          '''simple docstring'''


          snake_case			:  List[Any]     							= Node(snake_case__					)  # create a new Node
          if self.empty():  # if Tree is empty
                 snake_case			:  List[Any]     							= new_node  # set its root
          else:  # Tree is not empty
                 snake_case			:  Dict     							= self.root  # from root
                 if parent_node is None:
                        return
                 while True:  # While we don't get to a leaf
                        if value < parent_node.value:  # We go left
                               if parent_node.left is None:
                                      snake_case			:  Union[str, Any]     							= new_node  # We insert the new node in a leaf
                                      break
                               else:
                                      snake_case			:  str     							= parent_node.left
                        else:
                               if parent_node.right is None:
                                      snake_case			:  str     							= new_node
                                      break
                               else:
                                      snake_case			:  Dict     							= parent_node.right
                 snake_case			:  Optional[Any]     							= parent_node



   def 							_SCREAMING_SNAKE_CASE  (self						:   Optional[Any]       ,		*snake_case__						:   Any					)						->      None:


          '''simple docstring'''


          for value in values:
                 self.__insert(snake_case__					)



   def 							_SCREAMING_SNAKE_CASE  (self						:   Optional[Any]       ,		snake_case__						:   Optional[int]					)						->      Node | None:


          '''simple docstring'''


          if self.empty():
                 raise IndexError("Warning: Tree is empty! please use another."					)
          else:
                 snake_case			:  List[str]     							= self.root
                 # use lazy evaluation here to avoid NoneType Attribute error
                 while node is not None and node.value is not value:
                        snake_case			:  Optional[Any]     							= node.left if value < node.value else node.right
                 return node



   def 							_SCREAMING_SNAKE_CASE  (self						:   List[Any]       ,		snake_case__						:   Node | None = None					)						->      Node | None:


          '''simple docstring'''


          if node is None:
                 if self.root is None:
                        return None
                 snake_case			:  Tuple     							= self.root

          if not self.empty():
                 while node.right is not None:
                        snake_case			:  Dict     							= node.right
          return node



   def 							_SCREAMING_SNAKE_CASE  (self						:   int       ,		snake_case__						:   Node | None = None					)						->      Node | None:


          '''simple docstring'''


          if node is None:
                 snake_case			:  Tuple     							= self.root
          if self.root is None:
                 return None
          if not self.empty():
                 snake_case			:  Optional[Any]     							= self.root
                 while node.left is not None:
                        snake_case			:  Optional[int]     							= node.left
          return node



   def 							_SCREAMING_SNAKE_CASE  (self						:   int       ,		snake_case__						:   int					)						->      None:


          '''simple docstring'''


          snake_case			:  Optional[int]     							= self.search(snake_case__					)  # Look for the node with that label
          if node is not None:
                 if node.left is None and node.right is None:  # If it has no children
                        self.__reassign_nodes(snake_case__       ,		snake_case__					)
                 elif node.left is None:  # Has only right children
                        self.__reassign_nodes(snake_case__       ,		node.right					)
                 elif node.right is None:  # Has only left children
                        self.__reassign_nodes(snake_case__       ,		node.left					)
                 else:
                        snake_case			:  List[str]     							= self.get_max(
                            node.left					)  # Gets the max value of the left branch
                        self.remove(tmp_node.value					)  # type: ignore
                        snake_case			:  Optional[Any]     							= (
                            tmp_node.value  # type: ignore
                        )  # Assigns the value to the node to delete and keep tree structure



   def 							_SCREAMING_SNAKE_CASE  (self						:   int       ,		snake_case__						:   Node | None					)						->      Iterable:


          '''simple docstring'''


          if node is not None:
                 yield node  # Preorder Traversal
                 yield from self.preorder_traverse(node.left					)
                 yield from self.preorder_traverse(node.right					)



   def 							_SCREAMING_SNAKE_CASE  (self						:   List[str]       ,		snake_case__						:   Optional[int]=None					)						->      Any:


          '''simple docstring'''


          if traversal_function is None:
                 return self.preorder_traverse(self.root					)
          else:
                 return traversal_function(self.root					)



   def 							_SCREAMING_SNAKE_CASE  (self						:   Tuple       ,		snake_case__						:   list       ,		snake_case__						:   Node | None					)						->      None:


          '''simple docstring'''


          if node:
                 self.inorder(snake_case__       ,		node.left					)
                 arr.append(node.value					)
                 self.inorder(snake_case__       ,		node.right					)



   def 							_SCREAMING_SNAKE_CASE  (self						:   Optional[int]       ,		snake_case__						:   int       ,		snake_case__						:   Node					)						->      int:


          '''simple docstring'''


          snake_case			:  list[int]     							= []
          self.inorder(snake_case__       ,		snake_case__					)  # append all values to list using inorder traversal
          return arr[k - 1]



def      UpperCamelCase   (       __lowerCamelCase	:					Node | None       ):
       snake_case			:  str     							= []
       if curr_node is not None:
              snake_case			:  List[str]     							= postorder(curr_node.left       ) + postorder(curr_node.right       ) + [curr_node]
       return node_list


def      UpperCamelCase   (       ):
       snake_case			:  Optional[Any]     							= (8, 3, 6, 1, 10, 14, 13, 4, 7)
       snake_case			:  Any     							= BinarySearchTree()
       for i in testlist:
              t.insert(__lowerCamelCase       )

       # Prints all the elements of the list in order traversal
       print(__lowerCamelCase       )

       if t.search(6       ) is not None:
              print("The value 6 exists"       )
       else:
              print("The value 6 doesn't exist"       )

       if t.search(-1       ) is not None:
              print("The value -1 exists"       )
       else:
              print("The value -1 doesn't exist"       )

       if not t.empty():
              print("Max Value: "							,   t.get_max().value       )  # type: ignore
              print("Min Value: "							,   t.get_min().value       )  # type: ignore

       for i in testlist:
              t.remove(__lowerCamelCase       )
              print(__lowerCamelCase       )


if __name__ == "__main__":
   import doctest

   doctest.testmod(verbose=True)







from ..utils import (
    OptionalDependencyNotAvailable,
    is_flax_available,
    is_scipy_available,
    is_torch_available,
    is_torchsde_available,
)


try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   from ..utils.dummy_pt_objects import *  # noqa F403
else:
   from .scheduling_consistency_models import CMStochasticIterativeScheduler
   from .scheduling_ddim import DDIMScheduler
   from .scheduling_ddim_inverse import DDIMInverseScheduler
   from .scheduling_ddim_parallel import DDIMParallelScheduler
   from .scheduling_ddpm import DDPMScheduler
   from .scheduling_ddpm_parallel import DDPMParallelScheduler
   from .scheduling_deis_multistep import DEISMultistepScheduler
   from .scheduling_dpmsolver_multistep import DPMSolverMultistepScheduler
   from .scheduling_dpmsolver_multistep_inverse import DPMSolverMultistepInverseScheduler
   from .scheduling_dpmsolver_singlestep import DPMSolverSinglestepScheduler
   from .scheduling_euler_ancestral_discrete import EulerAncestralDiscreteScheduler
   from .scheduling_euler_discrete import EulerDiscreteScheduler
   from .scheduling_heun_discrete import HeunDiscreteScheduler
   from .scheduling_ipndm import IPNDMScheduler
   from .scheduling_k_dpm_2_ancestral_discrete import KDPMaAncestralDiscreteScheduler
   from .scheduling_k_dpm_2_discrete import KDPMaDiscreteScheduler
   from .scheduling_karras_ve import KarrasVeScheduler
   from .scheduling_pndm import PNDMScheduler
   from .scheduling_repaint import RePaintScheduler
   from .scheduling_sde_ve import ScoreSdeVeScheduler
   from .scheduling_sde_vp import ScoreSdeVpScheduler
   from .scheduling_unclip import UnCLIPScheduler
   from .scheduling_unipc_multistep import UniPCMultistepScheduler
   from .scheduling_utils import KarrasDiffusionSchedulers, SchedulerMixin
   from .scheduling_vq_diffusion import VQDiffusionScheduler

try:
   if not is_flax_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   from ..utils.dummy_flax_objects import *  # noqa F403
else:
   from .scheduling_ddim_flax import FlaxDDIMScheduler
   from .scheduling_ddpm_flax import FlaxDDPMScheduler
   from .scheduling_dpmsolver_multistep_flax import FlaxDPMSolverMultistepScheduler
   from .scheduling_karras_ve_flax import FlaxKarrasVeScheduler
   from .scheduling_lms_discrete_flax import FlaxLMSDiscreteScheduler
   from .scheduling_pndm_flax import FlaxPNDMScheduler
   from .scheduling_sde_ve_flax import FlaxScoreSdeVeScheduler
   from .scheduling_utils_flax import (
       FlaxKarrasDiffusionSchedulers,
       FlaxSchedulerMixin,
       FlaxSchedulerOutput,
       broadcast_to_shape_from_left,
   )


try:
   if not (is_torch_available() and is_scipy_available()):
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   from ..utils.dummy_torch_and_scipy_objects import *  # noqa F403
else:
   from .scheduling_lms_discrete import LMSDiscreteScheduler

try:
   if not (is_torch_available() and is_torchsde_available()):
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   from ..utils.dummy_torch_and_torchsde_objects import *  # noqa F403
else:
   from .scheduling_dpmsolver_sde import DPMSolverSDEScheduler





