





"""simple docstring"""




import math






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list       ,			_lowercase		:       int = 0       ,			_lowercase		:       int = 0   )					->list:






	'''simple docstring'''






	a :						Optional[Any]      =							end or len(_lowercase   )
	for i in range(_lowercase       ,			_lowercase   ):
		a :						List[str]      =							i
		a :						Any      =							array[i]
		while temp_index != start and temp_index_value < array[temp_index - 1]:
			a :						Optional[Any]      =							array[temp_index - 1]
			temp_index -= 1
		a :						Any      =							temp_index_value
	return array






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list       ,			_lowercase		:       int       ,			_lowercase		:       int   )					->None:  # Max Heap






	'''simple docstring'''






	a :						Tuple      =							index
	a :						List[Any]      =							2 * index + 1  # Left Node
	a :						Dict      =							2 * index + 2  # Right Node

	if left_index < heap_size and array[largest] < array[left_index]:
		a :						Dict      =							left_index

	if right_index < heap_size and array[largest] < array[right_index]:
		a :						int      =							right_index

	if largest != index:
		a,			a :						List[Any]      =							array[largest], array[index]
		heapify(_lowercase       ,			_lowercase       ,			_lowercase   )






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list   )					->list:






	'''simple docstring'''






	a :						int      =							len(_lowercase   )

	for i in range(n // 2       ,			-1       ,			-1   ):
		heapify(_lowercase       ,			_lowercase       ,			_lowercase   )

	for i in range(n - 1       ,			0       ,			-1   ):
		a,			a :						str      =							array[0], array[i]
		heapify(_lowercase       ,			0       ,			_lowercase   )

	return array






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list       ,			_lowercase		:       int       ,			_lowercase		:       int       ,			_lowercase		:       int   )					->int:






	'''simple docstring'''






	if (array[first_index] > array[middle_index]) != (
	    array[first_index] > array[last_index]
	):
		return array[first_index]
	elif (array[middle_index] > array[first_index]) != (
	    array[middle_index] > array[last_index]
	):
		return array[middle_index]
	else:
		return array[last_index]






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list       ,			_lowercase		:       int       ,			_lowercase		:       int       ,			_lowercase		:       int   )					->int:






	'''simple docstring'''






	a :						List[Any]      =							low
	a :						int      =							high
	while True:
		while array[i] < pivot:
			i += 1
		j -= 1
		while pivot < array[j]:
			j -= 1
		if i >= j:
			return i
		a,			a :						Union[str, Any]      =							array[j], array[i]
		i += 1






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list   )					->list:






	'''simple docstring'''






	if len(_lowercase   ) == 0:
		return array
	a :						Tuple      =							2 * math.ceil(math.loga(len(_lowercase   )   )   )
	a :						List[str]      =							16
	return intro_sort(_lowercase       ,			0       ,			len(_lowercase   )       ,			_lowercase       ,			_lowercase   )






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list       ,			_lowercase		:       int       ,			_lowercase		:       int       ,			_lowercase		:       int       ,			_lowercase		:       int   )					->list:






	'''simple docstring'''






	while end - start > size_threshold:
		if max_depth == 0:
			return heap_sort(_lowercase   )
		max_depth -= 1
		a :						List[str]      =							median_of_a(_lowercase       ,			_lowercase       ,			start + ((end - start) // 2) + 1       ,			end - 1   )
		a :						Tuple      =							partition(_lowercase       ,			_lowercase       ,			_lowercase       ,			_lowercase   )
		intro_sort(_lowercase       ,			_lowercase       ,			_lowercase       ,			_lowercase       ,			_lowercase   )
		a :						Union[str, Any]      =							p
	return insertion_sort(_lowercase       ,			_lowercase       ,			_lowercase   )


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		a		:					Optional[int]	      =     input('''Enter numbers separated by a comma : ''').strip()
		a		:					List[str]	      =     [float(item) for item in user_input.split(''',''')]
		print(sort(unsorted))









"""simple docstring"""




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


