


"""simple docstring"""
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__				(					A_ ,A_				):





   @register_to_config
   def __init__(							self      ,   SCREAMING_SNAKE_CASE = 768      ,   )  ->  List[Any]:
      super().__init__()

      _lowerCamelCase	:					str   =		nn.Parameter(torch.zeros(1      ,   SCREAMING_SNAKE_CASE))
      _lowerCamelCase	:					Optional[int]   =		nn.Parameter(torch.ones(1      ,   SCREAMING_SNAKE_CASE))





   def 		UpperCamelCase_  (							self      ,   SCREAMING_SNAKE_CASE = None      ,   SCREAMING_SNAKE_CASE = None      ,   )  ->  List[str]:
      _lowerCamelCase	:					Dict   =		nn.Parameter(self.mean.to(SCREAMING_SNAKE_CASE).to(SCREAMING_SNAKE_CASE))
      _lowerCamelCase	:					List[Any]   =		nn.Parameter(self.std.to(SCREAMING_SNAKE_CASE).to(SCREAMING_SNAKE_CASE))
      return self





   def 		UpperCamelCase_  (							self      ,   SCREAMING_SNAKE_CASE)  ->  Union[str, Any]:
      _lowerCamelCase	:					Optional[int]   =		(embeds - self.mean) * 1.0 / self.std
      return embeds





   def 		UpperCamelCase_  (							self      ,   SCREAMING_SNAKE_CASE)  ->  Dict:
      _lowerCamelCase	:					int   =		(embeds * self.std) + self.mean
      return embeds





"""simple docstring"""
def 				_snake_case      (   __snake_case							:      list[list[int]]						, __snake_case							:      int						, __snake_case							:      int						, __snake_case							:      list[int]   ):




   """simple docstring"""







   if graph[path[curr_ind - 1]][next_ver] == 0:
      return False

   # 2. Validate that next vertex is not already in path
   return not any(vertex == next_ver for vertex in path   )

def 				_snake_case      (   __snake_case							:      list[list[int]]						, __snake_case							:      list[int]						, __snake_case							:      int   ):




   """simple docstring"""







   if curr_ind == len(__snake_case   ):
      # return whether path exists between current and starting vertices
      return graph[path[curr_ind - 1]][path[0]] == 1

   # Recursive Step
   for next_ver in range(0						, len(__snake_case   )   ):
      if valid_connection(__snake_case						, __snake_case						, __snake_case						, __snake_case   ):
         # Insert current vertex  into path as next transition
         _lowerCamelCase	:					List[str]   =		next_ver
         # Validate created path
         if util_hamilton_cycle(__snake_case						, __snake_case						, curr_ind + 1   ):
            return True
         # Backtrack
         _lowerCamelCase	:					Tuple   =		-1
   return False





def 				_snake_case      (   __snake_case							:      list[list[int]]						, __snake_case							:      int = 0   ):




   """simple docstring"""







   _lowerCamelCase	:					Any   =		[-1] * (len(__snake_case   ) + 1)
   # initialize start and end of path with starting index
   _lowerCamelCase	:					Optional[int]   =		start_index
   # evaluate and if we find answer return path either return empty array
   return path if util_hamilton_cycle(__snake_case						, __snake_case						, 1   ) else []

