def  snake_case  (       snake_case__			:Dict   ,	snake_case__			:List[Any]   ,	snake_case__			:List[str]   ,	snake_case__			:Optional[Any])						->   Any:

       # 1. Validate that path exists between current and next vertices
       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__			:Dict   ,	snake_case__			:Dict   ,	snake_case__			:Any)						->   List[str]:

       # Base Case
       if curr_ind == len(_A):
              # 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(_A)):
              if valid_connection(_A   ,	_A   ,	_A   ,	_A):
                     # Insert current vertex  into path as next transition
                     _A        =  next_ver
                     # Validate created path
                     if util_hamilton_cycle(_A   ,	_A   ,	curr_ind + 1):
                            return True
                     # Backtrack
                     _A        =  -1
       return False







def  snake_case  (       snake_case__			:Dict   ,	snake_case__			:Optional[int] = 0)						->   Optional[Any]:
       _A        =  [-1] * (len(_A) + 1)
       # initialize start and end of path with starting index
       _A        =  _A        =  start_index
       # evaluate and if we find answer return path either return empty array
       return path if util_hamilton_cycle(_A   ,	_A   ,	1) else []










import importlib
import os
from dataclasses import dataclass
from enum import Enum
from typing import Any, Dict, Optional, Union

import torch

from ..utils import BaseOutput


_A     =			'''scheduler_config.json'''


class  A		(  __UpperCAmelCase     ):
		__snake_case									=   1
		__snake_case									=   2
		__snake_case									=   3
		__snake_case									=   4
		__snake_case									=   5
		__snake_case									=   6
		__snake_case									=   7
		__snake_case									=   8
		__snake_case									=   9
		__snake_case									=   10
		__snake_case									=   11
		__snake_case									=   12
		__snake_case									=   13
		__snake_case									=   14







@dataclass
class  A		(  __UpperCAmelCase     ):
		__snake_case									=   42







class  A		:
		__snake_case									=   SCHEDULER_CONFIG_NAME
		__snake_case									=   []
		__snake_case									=   True



		@classmethod
		def        SCREAMING_SNAKE_CASE__			(     cls,	UpperCamelCase__ = None,	UpperCamelCase__ = None,	UpperCamelCase__=False,	**UpperCamelCase__,	):







								"""simple docstring"""



								lowerCAmelCase_			,					lowerCAmelCase_			,					lowerCAmelCase_      			=  cls.load_config(
								    pretrained_model_name_or_path=UpperCamelCase__,	subfolder=UpperCamelCase__,	return_unused_kwargs=UpperCamelCase__,	return_commit_hash=UpperCamelCase__,	**UpperCamelCase__,	)
								return cls.from_config(UpperCamelCase__,	return_unused_kwargs=UpperCamelCase__,	**UpperCamelCase__   )



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__,	UpperCamelCase__ = False,	**UpperCamelCase__   ):







								"""simple docstring"""



								self.save_config(save_directory=UpperCamelCase__,	push_to_hub=UpperCamelCase__,	**UpperCamelCase__   )



		@property
		def        SCREAMING_SNAKE_CASE__			(     self   ):







								"""simple docstring"""



								return self._get_compatibles()







		@classmethod
		def        SCREAMING_SNAKE_CASE__			(     cls   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  list(set([cls.__name__] + cls._compatibles   )   )
								lowerCAmelCase_      			=  importlib.import_module(__name__.split('''.'''   )[0]   )
								lowerCAmelCase_      			=  [
								    getattr(UpperCamelCase__,	UpperCamelCase__   ) for c in compatible_classes_str if hasattr(UpperCamelCase__,	UpperCamelCase__   )
								]
								return compatible_classes




