
"""simple docstring"""




def 				A	( lowercase   ,	lowercase   ,	lowercase			)       ->  bool:
		'''simple docstring'''

		return not any(
		    neighbour == 1 and colored_vertices[i] == color
		    for i, neighbour in enumerate(lowerCamelCase__			)			)


def 				A	( lowercase   ,	lowercase   ,	lowercase   ,	lowercase			)       ->  bool:
		'''simple docstring'''

		if index == len(lowerCamelCase__			):
				return True

		# Recursive Step
		for i in range(lowerCamelCase__			):
				if valid_coloring(graph[index]   ,	lowerCamelCase__   ,	lowerCamelCase__			):
						# Color current vertex
						UpperCamelCase          =					i
						# Validate coloring
						if util_color(lowerCamelCase__   ,	lowerCamelCase__   ,	lowerCamelCase__   ,	index + 1			):
								return True
						# Backtrack
						UpperCamelCase          =					-1
		return False


def 				A	( lowercase   ,	lowercase			)       ->  list[int]:
		'''simple docstring'''

		UpperCamelCase          =					[-1] * len(lowerCamelCase__			)

		if util_color(lowerCamelCase__   ,	lowerCamelCase__   ,	lowerCamelCase__   ,	0			):
				return colored_vertices

		return []


from typing import Optional, Union

import torch
from torch import nn

from ...configuration_utils import ConfigMixin, register_to_config
from ...models.modeling_utils import ModelMixin


class     lowercase (		_SCREAMING_SNAKE_CASE  ,       _SCREAMING_SNAKE_CASE       ):



		@register_to_config
		def __init__(			self    ,				A_ = 768    ,				)  -> List[Any]:
				"""simple docstring"""
				super().__init__()

				UpperCamelCase          =					nn.Parameter(torch.zeros(1    ,				A_	)	)
				UpperCamelCase          =					nn.Parameter(torch.ones(1    ,				A_	)	)



		def __UpperCamelCase			(			self    ,				A_ = None    ,				A_ = None    ,				)  -> Any:
				"""simple docstring"""
				UpperCamelCase          =					nn.Parameter(self.mean.to(A_	).to(A_	)	)
				UpperCamelCase          =					nn.Parameter(self.std.to(A_	).to(A_	)	)
				return self



		def __UpperCamelCase			(			self    ,				A_	)  -> Dict:
				"""simple docstring"""
				UpperCamelCase          =					(embeds - self.mean) * 1.0 / self.std
				return embeds



		def __UpperCamelCase			(			self    ,				A_	)  -> Dict:
				"""simple docstring"""
				UpperCamelCase          =					(embeds * self.std) + self.mean
				return embeds
