

def 			A_      (    _UpperCAmelCase				,	_UpperCAmelCase				,	_UpperCAmelCase				,	_UpperCAmelCase    ):

						# 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 			A_      (    _UpperCAmelCase				,	_UpperCAmelCase				,	_UpperCAmelCase    ):

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







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









import copy
from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import Audio, Features, Value
from .base import TaskTemplate



@dataclass(frozen=UpperCAmelCase_	)
class   __lowercase				( UpperCAmelCase_	):




			"""simple docstring"""







			_UpperCAmelCase   :							str										=     field(default='''automatic-speech-recognition'''		,       metadata={'''include_in_asdict_even_if_is_default''': True}	)
			_UpperCAmelCase   :							ClassVar[Features]										=     Features({'''audio''': Audio()}	)
			_UpperCAmelCase   :							ClassVar[Features]										=     Features({'''transcription''': Value('''string'''	)}	)
			_UpperCAmelCase   :							str										=     "audio"
			_UpperCAmelCase   :							str										=     "transcription"



			def        _SCREAMING_SNAKE_CASE			( self  :     Optional[Any]   ,						lowerCAmelCase__  :     int):
									if self.audio_column not in features:
															raise ValueError(F"Column {self.audio_column} is not present in features.")
									if not isinstance(features[self.audio_column]   ,						lowerCAmelCase__):
															raise ValueError(F"Column {self.audio_column} is not an Audio type.")
									SCREAMING_SNAKE_CASE_: Tuple  		=       copy.deepcopy(self)
									SCREAMING_SNAKE_CASE_: Optional[int]  		=       self.input_schema.copy()
									SCREAMING_SNAKE_CASE_: Dict  		=       features[self.audio_column]
									SCREAMING_SNAKE_CASE_: int  		=       input_schema
									return task_template




			@property
			def        _SCREAMING_SNAKE_CASE			( self  :     int):
									return {self.audio_column: "audio", self.transcription_column: "transcription"}






