



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









from collections.abc import Sequence
from queue import Queue






class     __a			:



	def __init__(    self				:     str					,						snake_case_				:     List[str]					,						snake_case_				:     Tuple					,						snake_case_				:     Tuple					,						snake_case_				:     Optional[Any]=None					,						snake_case_				:     Dict=None)->				Optional[int]:
						__lowerCAmelCase						 =start
						__lowerCAmelCase						 =end
						__lowerCAmelCase						 =val
						__lowerCAmelCase						 =(start + end) // 2
						__lowerCAmelCase						 =left
						__lowerCAmelCase						 =right



	def __repr__(    self				:     List[Any])->				Dict:
						return F"""SegmentTreeNode(start={self.start}, end={self.end}, val={self.val})"""






class     __a			:



	def __init__(    self				:     List[str]					,						snake_case_				:     Sequence					,						snake_case_				:     int)->				str:
						__lowerCAmelCase						 =collection
						__lowerCAmelCase						 =function
						if self.collection:
											__lowerCAmelCase						 =self._build_tree(0					,						len(snake_case_) - 1)



	def 		UpperCamelCase				(    self				:     Dict					,						snake_case_				:     Tuple					,						snake_case_				:     Optional[int])->				Optional[int]:
						self._update_tree(self.root					,						snake_case_					,						snake_case_)



	def 		UpperCamelCase				(    self				:     Optional[Any]					,						snake_case_				:     Any					,						snake_case_				:     Union[str, Any])->				Union[str, Any]:
						return self._query_range(self.root					,						snake_case_					,						snake_case_)



	def 		UpperCamelCase				(    self				:     List[str]					,						snake_case_				:     List[str]					,						snake_case_				:     List[str])->				List[Any]:
						if start == end:
											return SegmentTreeNode(snake_case_					,						snake_case_					,						self.collection[start])
						__lowerCAmelCase						 =(start + end) // 2
						__lowerCAmelCase						 =self._build_tree(snake_case_					,						snake_case_)
						__lowerCAmelCase						 =self._build_tree(mid + 1					,						snake_case_)
						return SegmentTreeNode(snake_case_					,						snake_case_					,						self.fn(left.val					,						right.val)					,						snake_case_					,						snake_case_)



	def 		UpperCamelCase				(    self				:     Dict					,						snake_case_				:     Tuple					,						snake_case_				:     int					,						snake_case_				:     int)->				List[Any]:
						if node.start == i and node.end == i:
											__lowerCAmelCase						 =val
											return
						if i <= node.mid:
											self._update_tree(node.left					,						snake_case_					,						snake_case_)
						else:
											self._update_tree(node.right					,						snake_case_					,						snake_case_)
						__lowerCAmelCase						 =self.fn(node.left.val					,						node.right.val)



	def 		UpperCamelCase				(    self				:     Tuple					,						snake_case_				:     str					,						snake_case_				:     str					,						snake_case_				:     List[Any])->				Optional[int]:
						if node.start == i and node.end == j:
											return node.val

						if i <= node.mid:
											if j <= node.mid:
																# range in left child tree
																return self._query_range(node.left					,						snake_case_					,						snake_case_)
											else:
																# range in left child tree and right child tree
																return self.fn(
																    self._query_range(node.left					,						snake_case_					,						node.mid)					,						self._query_range(node.right					,						node.mid + 1					,						snake_case_)					,						)
						else:
											# range in right child tree
											return self._query_range(node.right					,						snake_case_					,						snake_case_)



	def 		UpperCamelCase				(    self				:     List[str])->				Tuple:
						if self.root is not None:
											__lowerCAmelCase						 =Queue()
											queue.put(self.root)
											while not queue.empty():
																__lowerCAmelCase						 =queue.get()
																yield node

																if node.left is not None:
																					queue.put(node.left)

																if node.right is not None:
																					queue.put(node.right)


if __name__ == "__main__":
				import operator

				for fn in [operator.add, max, min]:
								print('''*''' * 50)
								lowercase_													=      SegmentTree([2, 1, 5, 3, 4], fn)
								for node in arr.traverse():
												print(node)
								print()

								arr.update(1, 5)
								for node in arr.traverse():
												print(node)
								print()

								print(arr.query_range(3, 4))  # 7
								print(arr.query_range(2, 2))  # 5
								print(arr.query_range(1, 3))  # 13
								print()




