





'''simple docstring'''


import math

import flax.linen as nn
import jax.numpy as jnp







def    _lowerCamelCase  (__lowerCamelCase  :     jnp.ndarray					,  __lowerCamelCase  :     int					,  __lowerCamelCase  :     float = 1					,  __lowerCamelCase  :     float = 1					,  __lowerCamelCase  :     float = 1.0e4					,  __lowerCamelCase  :     bool = False					,  __lowerCamelCase  :     float = 1.0					,  )   ->    jnp.ndarray:
			assert timesteps.ndim == 1, "Timesteps should be a 1d-array"
			assert embedding_dim % 2 == 0, f'''Embedding dimension {embedding_dim} should be even'''
			a__     = float(embedding_dim // 2     )
			a__     = math.log(max_timescale / min_timescale     ) / (num_timescales - freq_shift)
			a__     = min_timescale * jnp.exp(jnp.arange(__lowerCamelCase					,  dtype=jnp.floataa     ) * -log_timescale_increment     )
			a__     = jnp.expand_dims(__lowerCamelCase					,  1     ) * jnp.expand_dims(__lowerCamelCase					,  0     )

			# scale embeddings
			a__     = scale * emb

			if flip_sin_to_cos:
						a__     = jnp.concatenate([jnp.cos(__lowerCamelCase     ), jnp.sin(__lowerCamelCase     )]					,  axis=1     )
			else:
						a__     = jnp.concatenate([jnp.sin(__lowerCamelCase     ), jnp.cos(__lowerCamelCase     )]					,  axis=1     )
			a__     = jnp.reshape(__lowerCamelCase					,  [jnp.shape(__lowerCamelCase     )[0], embedding_dim]     )
			return signal






class       UpperCamelCase__  (		nn.Module     ):
	lowerCAmelCase__					:			int								=						32
	lowerCAmelCase__					:			jnp.dtype								=						jnp.floataa







	@nn.compact
	def __call__(				self			:   Optional[int] , lowerCamelCase			:   Any		):




				'''simple docstring'''
				a__     = nn.Dense(self.time_embed_dim , dtype=self.dtype , name="linear_1"		)(lowerCamelCase		)
				a__     = nn.silu(lowerCamelCase		)
				a__     = nn.Dense(self.time_embed_dim , dtype=self.dtype , name="linear_2"		)(lowerCamelCase		)
				return temb






class       UpperCamelCase__  (		nn.Module     ):
	lowerCAmelCase__					:			int								=						32
	lowerCAmelCase__					:			bool								=						False
	lowerCAmelCase__					:			float								=						1







	@nn.compact
	def __call__(				self			:   Optional[Any] , lowerCamelCase			:   Tuple		):




				'''simple docstring'''
				return get_sinusoidal_embeddings(
				    lowerCamelCase , embedding_dim=self.dim , flip_sin_to_cos=self.flip_sin_to_cos , freq_shift=self.freq_shift		)










'''simple docstring'''


import math







def    _lowerCamelCase  (__lowerCamelCase  :     list					,  __lowerCamelCase  :     int = 0					,  __lowerCamelCase  :     int = 0     )   ->    list:
			a__     = end or len(__lowerCamelCase     )
			for i in range(__lowerCamelCase					,  __lowerCamelCase     ):
						a__     = i
						a__     = array[i]
						while temp_index != start and temp_index_value < array[temp_index - 1]:
									a__     = array[temp_index - 1]
									temp_index -= 1
						a__     = temp_index_value
			return array







def    _lowerCamelCase  (__lowerCamelCase  :     list					,  __lowerCamelCase  :     int					,  __lowerCamelCase  :     int     )   ->    None:  # Max Heap
			a__     = index
			a__     = 2 * index + 1  # Left Node
			a__     = 2 * index + 2  # Right Node

			if left_index < heap_size and array[largest] < array[left_index]:
						a__     = left_index

			if right_index < heap_size and array[largest] < array[right_index]:
						a__     = right_index

			if largest != index:
						a__   ,				a__     = array[largest], array[index]
						heapify(__lowerCamelCase					,  __lowerCamelCase					,  __lowerCamelCase     )







def    _lowerCamelCase  (__lowerCamelCase  :     list     )   ->    list:
			a__     = len(__lowerCamelCase     )

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

			for i in range(n - 1					,  0					,  -1     ):
						a__   ,				a__     = array[0], array[i]
						heapify(__lowerCamelCase					,  0					,  __lowerCamelCase     )

			return array







def    _lowerCamelCase  (__lowerCamelCase  :     list					,  __lowerCamelCase  :     int					,  __lowerCamelCase  :     int					,  __lowerCamelCase  :     int     )   ->    int:
			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    _lowerCamelCase  (__lowerCamelCase  :     list					,  __lowerCamelCase  :     int					,  __lowerCamelCase  :     int					,  __lowerCamelCase  :     int     )   ->    int:
			a__     = low
			a__     = high
			while True:
						while array[i] < pivot:
									i += 1
						j -= 1
						while pivot < array[j]:
									j -= 1
						if i >= j:
									return i
						a__   ,				a__     = array[j], array[i]
						i += 1







def    _lowerCamelCase  (__lowerCamelCase  :     list     )   ->    list:
			if len(__lowerCamelCase     ) == 0:
						return array
			a__     = 2 * math.ceil(math.loga(len(__lowerCamelCase     )     )     )
			a__     = 16
			return intro_sort(__lowerCamelCase					,  0					,  len(__lowerCamelCase     )					,  __lowerCamelCase					,  __lowerCamelCase     )







def    _lowerCamelCase  (__lowerCamelCase  :     list					,  __lowerCamelCase  :     int					,  __lowerCamelCase  :     int					,  __lowerCamelCase  :     int					,  __lowerCamelCase  :     int     )   ->    list:
			while end - start > size_threshold:
						if max_depth == 0:
									return heap_sort(__lowerCamelCase     )
						max_depth -= 1
						a__     = median_of_a(__lowerCamelCase					,  __lowerCamelCase					,  start + ((end - start) // 2) + 1					,  end - 1     )
						a__     = partition(__lowerCamelCase					,  __lowerCamelCase					,  __lowerCamelCase					,  __lowerCamelCase     )
						intro_sort(__lowerCamelCase					,  __lowerCamelCase					,  __lowerCamelCase					,  __lowerCamelCase					,  __lowerCamelCase     )
						a__     = p
			return insertion_sort(__lowerCamelCase					,  __lowerCamelCase					,  __lowerCamelCase     )


if __name__ == "__main__":
		import doctest

		doctest.testmod()

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



