
'''simple docstring'''

# A Bipartite Graph is a graph whose vertices can be divided into two independent sets,
# U and V such that every edge (u, v) either connects a vertex from U to V or a vertex
# from V to U. In other words, for every edge (u, v), either u belongs to U and v to V,
# or u belongs to V and v to U. We can also say that there is no edge that connects
# vertices of same set.






def 	_snake_case						(      A_       :    List[str]   ):
  """simple docstring"""







  a_      :	Optional[Any]      =							[False] * len(A_   )
  a_      :	List[Any]      =							[-1] * len(A_   )

  def dfs(A_       :    Dict     ,		A_       :    Dict   ):
    a_      :	Tuple      =							True
    a_      :	str      =							c
    for u in graph[v]:
      if not visited[u]:
        dfs(A_     ,		1 - c   )

  for i in range(len(A_   )   ):
    if not visited[i]:
      dfs(A_     ,		0   )

  for i in range(len(A_   )   ):
    for j in graph[i]:
      if color[i] == color[j]:
        return False

  return True


# Adjacency list of graph
__snake_case:  Optional[int]								=			{0: [1, 3], 1: [0, 2], 2: [1, 3], 3: [0, 2], 4: []}




print(check_bipartite_dfs(graph))




'''simple docstring'''

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

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


@dataclass(frozen=lowerCAmelCase__    )
class  _UpperCAmelCase ( lowerCAmelCase__    ):

     """simple docstring"""

     a_    	=					field(default="automatic-speech-recognition"	,metadata={"include_in_asdict_even_if_is_default": True}    )
     a_    	=					Features({"audio": Audio()}    )
     a_    	=					Features({"transcription": Value("string"    )}    )
     a_    	=					"audio"
     a_    	=					"transcription"


     def 							_lowerCAmelCase  (      self							,		lowerCAmelCase_ ):

       '''simple docstring'''

       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.''' )
       a_      :	int      =							copy.deepcopy(self )
       a_      :	Optional[int]      =							self.input_schema.copy()
       a_      :	Any      =							features[self.audio_column]
       a_      :	Any      =							input_schema
       return task_template






     @property
     def 							_lowerCAmelCase  (      self ):

       '''simple docstring'''

       return {self.audio_column: "audio", self.transcription_column: "transcription"}


