





import math

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







def 							UpperCAmelCase_    (	lowerCAmelCase_		,							lowerCAmelCase_		,							lowerCAmelCase_ = 1		,							lowerCAmelCase_ = 1		,							lowerCAmelCase_ = 1.0E4		,							lowerCAmelCase_ = False		,							lowerCAmelCase_ = 1.0		,							):

				"""simple docstring"""






				assert timesteps.ndim == 1, "Timesteps should be a 1d-array"
				assert embedding_dim % 2 == 0, f'Embedding dimension {embedding_dim} should be even'
				lowercase         = float(embedding_dim // 2							)
				lowercase         = math.log(max_timescale / min_timescale							) / (num_timescales - freq_shift)
				lowercase         = min_timescale * jnp.exp(jnp.arange(lowerCamelCase_		,							dtype=jnp.floataa							) * -log_timescale_increment							)
				lowercase         = jnp.expand_dims(lowerCamelCase_		,							1							) * jnp.expand_dims(lowerCamelCase_		,							0							)

				# scale embeddings
				lowercase         = scale * emb

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

class       UpperCAmelCase (						nn.Module  ):
		UpperCAmelCase					:	Optional[Any] 			=		32
		UpperCAmelCase					:	Dict 			=		jnp.floataa




		@nn.compact
		def __call__(self      :	Optional[int]							,			A__      :	List[str]				)					-> Optional[Any]:
						lowercase         = nn.Dense(self.time_embed_dim							,			dtype=self.dtype							,			name="linear_1"				)(__lowerCamelCase				)
						lowercase         = nn.silu(__lowerCamelCase				)
						lowercase         = nn.Dense(self.time_embed_dim							,			dtype=self.dtype							,			name="linear_2"				)(__lowerCamelCase				)
						return temb




class       UpperCAmelCase (						nn.Module  ):
		UpperCAmelCase					:	str 			=		32
		UpperCAmelCase					:	str 			=		False
		UpperCAmelCase					:	List[str] 			=		1




		@nn.compact
		def __call__(self      :	List[Any]							,			A__      :	Tuple				)					-> int:
						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'''

from __future__ import annotations

from collections import deque
from collections.abc import Sequence
from dataclasses import dataclass
from typing import Any

@dataclass
class       UpperCAmelCase :
		UpperCAmelCase					:	int
		UpperCAmelCase					:	Node | None 			=		None
		UpperCAmelCase					:	Node | None 			=		None







def 							UpperCAmelCase_    (	):

				"""simple docstring"""






				lowercase         = Node(1							)
				lowercase         = Node(2							)
				lowercase         = Node(3							)
				lowercase         = Node(4							)
				lowercase         = Node(5							)
				return tree







def 							UpperCAmelCase_    (	lowerCAmelCase_							):

				"""simple docstring"""






				return [root.data, *preorder(root.left							), *preorder(root.right							)] if root else []







def 							UpperCAmelCase_    (	lowerCAmelCase_							):

				"""simple docstring"""






				return postorder(root.left							) + postorder(root.right							) + [root.data] if root else []







def 							UpperCAmelCase_    (	lowerCAmelCase_							):

				"""simple docstring"""






				return [*inorder(root.left							), root.data, *inorder(root.right							)] if root else []







def 							UpperCAmelCase_    (	lowerCAmelCase_							):

				"""simple docstring"""






				return (max(height(root.left							)		,							height(root.right							)							) + 1) if root else 0







def 							UpperCAmelCase_    (	lowerCAmelCase_							):

				"""simple docstring"""






				lowercase         = []

				if root is None:
								return output

				lowercase         = deque([root]							)

				while process_queue:
								lowercase         = process_queue.popleft()
								output.append(node.data							)

								if node.left:
												process_queue.append(node.left							)
								if node.right:
												process_queue.append(node.right							)
				return output







def 							UpperCAmelCase_    (	lowerCAmelCase_		,							lowerCAmelCase_							):

				"""simple docstring"""






				lowercase         = []

				def populate_output(lowerCAmelCase_		,							lowerCAmelCase_							) -> None:
								if not root:
												return
								if level == 1:
												output.append(root.data							)
								elif level > 1:
												populate_output(root.left		,							level - 1							)
												populate_output(root.right		,							level - 1							)

				populate_output(lowerCAmelCase_		,							lowerCAmelCase_							)
				return output







def 							UpperCAmelCase_    (	lowerCAmelCase_		,							lowerCAmelCase_							):

				"""simple docstring"""






				lowercase         = []

				def populate_output(lowerCAmelCase_		,							lowerCAmelCase_							) -> None:
								if root is None:
												return
								if level == 1:
												output.append(root.data							)
								elif level > 1:
												populate_output(root.right		,							level - 1							)
												populate_output(root.left		,							level - 1							)

				populate_output(lowerCAmelCase_		,							lowerCAmelCase_							)
				return output







def 							UpperCAmelCase_    (	lowerCAmelCase_							):

				"""simple docstring"""






				if root is None:
								return []

				lowercase         = []

				lowercase         = 0
				lowercase         = height(lowerCAmelCase_							)

				for h in range(1		,							height_tree + 1							):
								if not flag:
												output.append(get_nodes_from_left_to_right(lowerCAmelCase_		,							lowerCAmelCase_							)							)
												lowercase         = 1
								else:
												output.append(get_nodes_from_right_to_left(lowerCAmelCase_		,							lowerCAmelCase_							)							)
												lowercase         = 0

				return output







def 							UpperCAmelCase_    (	):  # Main function for testing.

				"""simple docstring"""






				lowercase         = make_tree()
				print(f'In-order Traversal: {inorder(lowerCAmelCase_							)}'							)
				print(f'Pre-order Traversal: {preorder(lowerCAmelCase_							)}'							)
				print(f'Post-order Traversal: {postorder(lowerCAmelCase_							)}'		,							"\n"							)

				print(f'Height of Tree: {height(lowerCAmelCase_							)}'		,							"\n"							)

				print("Complete Level Order Traversal: "							)
				print(level_order(lowerCAmelCase_							)		,							"\n"							)

				print("Level-wise order Traversal: "							)

				for level in range(1		,							height(lowerCAmelCase_							) + 1							):
								print(f'Level {level}:'		,							get_nodes_from_left_to_right(lowerCAmelCase_		,							level=lowerCAmelCase_							)							)

				print("\nZigZag order Traversal: "							)
				print(zigzag(lowerCAmelCase_							)							)


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			main()




