




# 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 		lowerCAmelCase_   (	lowerCamelCase   ):
				__magic_name__	:	List[str]								=[False] * len(lowerCamelCase   )
				__magic_name__	:	List[Any]								=[-1] * len(lowerCamelCase   )

				def dfs(lowerCamelCase	,     lowerCamelCase   ):
								__magic_name__	:	Any								=True
								__magic_name__	:	Union[str, Any]								=c
								for u in graph[v]:
												if not visited[u]:
																dfs(lowerCamelCase	,     1 - c   )

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

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

				return True


# Adjacency list of graph
UpperCAmelCase_		:				Tuple									=     {0: [1, 3], 1: [0, 2], 2: [1, 3], 3: [0, 2], 4: []}



print(check_bipartite_dfs(graph))










import copy
import os
from typing import Union

from ...configuration_utils import PretrainedConfig
from ...utils import logging


UpperCAmelCase_		:				Union[str, Any]									=     logging.get_logger(__name__)

UpperCAmelCase_		:				Dict									=     {
    "google/pix2struct-textcaps-base": (
        "https://huggingface.co/google/pix2struct-textcaps-base/resolve/main/config.json"
    ),
}




class 		__A      (			UpperCamelCase__			):
						UpperCamelCase     						=					"""pix2struct_text_model"""
						UpperCamelCase     						=					["""past_key_values"""]
						UpperCamelCase     						=					{
						    """hidden_size""": """hidden_size""",
						    """num_attention_heads""": """num_heads""",
						    """num_hidden_layers""": """num_layers""",
						}

						def __init__(		self   :List[Any]    , __snake_case   :Dict=5_02_44    , __snake_case   :Dict=7_68    , __snake_case   :Union[str, Any]=64    , __snake_case   :Union[str, Any]=20_48    , __snake_case   :List[Any]=12    , __snake_case   :Any=12    , __snake_case   :str=32    , __snake_case   :Dict=1_28    , __snake_case   :Optional[int]=0.1    , __snake_case   :Any=1E-6    , __snake_case   :Optional[int]=1.0    , __snake_case   :List[Any]="gelu_new"    , __snake_case   :Any=0    , __snake_case   :Tuple=False    , __snake_case   :Any=0    , __snake_case   :int=1    , __snake_case   :Dict=False    , __snake_case   :Optional[Any]=True    , **__snake_case   :Dict    , ):
										'''simple docstring'''

										__magic_name__	:	List[str]								=vocab_size
										__magic_name__	:	List[str]								=hidden_size
										__magic_name__	:	Optional[int]								=d_kv
										__magic_name__	:	Dict								=d_ff
										__magic_name__	:	Tuple								=num_layers
										__magic_name__	:	str								=num_heads
										__magic_name__	:	Optional[Any]								=relative_attention_num_buckets
										__magic_name__	:	List[Any]								=relative_attention_max_distance
										__magic_name__	:	str								=dropout_rate
										__magic_name__	:	Optional[Any]								=layer_norm_epsilon
										__magic_name__	:	Union[str, Any]								=initializer_factor
										__magic_name__	:	Tuple								=use_cache

										__magic_name__	:	Any								=eos_token_id
										__magic_name__	:	int								=decoder_start_token_id

										# for backwards compatibility
										__magic_name__	:	Union[str, Any]								=dense_act_fn

										super().__init__(
										    pad_token_id=__snake_case    , eos_token_id=__snake_case    , decoder_start_token_id=__snake_case    , tie_word_embeddings=__snake_case    , is_decoder=__snake_case    , **__snake_case    , )


						@classmethod
						def     A__						(		cls   :Union[str, Any]    , __snake_case   :Union[str, os.PathLike]    , **__snake_case   :Any ):
										'''simple docstring'''

										cls._set_token_in_kwargs(__snake_case )

										__magic_name__				, __magic_name__	:	Optional[Any]								=cls.get_config_dict(__snake_case    , **__snake_case )

										# get the text config dict if we are loading from Pix2StructConfig
										if config_dict.get("""model_type""" ) == "pix2struct":
														__magic_name__	:	Tuple								=config_dict["""text_config"""]

										if "model_type" in config_dict and hasattr(cls    , """model_type""" ) and config_dict["model_type"] != cls.model_type:
														logger.warning(
														    f"You are using a model of type {config_dict['model_type']} to instantiate a model of type "
														    f"{cls.model_type}. This is not supported for all configurations of models and can yield errors." )

										return cls.from_dict(__snake_case    , **__snake_case )




class 		__A      (			UpperCamelCase__			):
						UpperCamelCase     						=					"""pix2struct_vision_model"""

						def __init__(		self   :Union[str, Any]    , __snake_case   :Tuple=7_68    , __snake_case   :Any=7_68    , __snake_case   :Tuple=20_48    , __snake_case   :Dict=64    , __snake_case   :List[str]=12    , __snake_case   :str=12    , __snake_case   :str="gelu_new"    , __snake_case   :Optional[int]=1E-6    , __snake_case   :Optional[int]=0.0    , __snake_case   :Any=0.0    , __snake_case   :Any=1E-10    , __snake_case   :List[str]=1.0    , __snake_case   :Tuple=40_96    , __snake_case   :Optional[int]=32    , __snake_case   :Union[str, Any]=1_28    , **__snake_case   :Optional[int]    , ):
										'''simple docstring'''

										super().__init__(**__snake_case )

										__magic_name__	:	Union[str, Any]								=hidden_size
										__magic_name__	:	Dict								=patch_embed_hidden_size
										__magic_name__	:	Tuple								=d_ff
										__magic_name__	:	str								=dropout_rate
										__magic_name__	:	str								=num_hidden_layers
										__magic_name__	:	Dict								=num_attention_heads
										__magic_name__	:	List[str]								=initializer_range
										__magic_name__	:	Optional[int]								=initializer_factor
										__magic_name__	:	str								=attention_dropout
										__magic_name__	:	Union[str, Any]								=layer_norm_eps
										__magic_name__	:	List[str]								=dense_act_fn
										__magic_name__	:	List[str]								=seq_len
										__magic_name__	:	str								=relative_attention_num_buckets
										__magic_name__	:	Optional[int]								=relative_attention_max_distance
										__magic_name__	:	List[str]								=d_kv


						@classmethod
						def     A__						(		cls   :Optional[Any]    , __snake_case   :Union[str, os.PathLike]    , **__snake_case   :Any ):
										'''simple docstring'''

										cls._set_token_in_kwargs(__snake_case )

										__magic_name__				, __magic_name__	:	Optional[int]								=cls.get_config_dict(__snake_case    , **__snake_case )

										# get the vision config dict if we are loading from Pix2StructConfig
										if config_dict.get("""model_type""" ) == "pix2struct":
														__magic_name__	:	int								=config_dict["""vision_config"""]

										if "model_type" in config_dict and hasattr(cls    , """model_type""" ) and config_dict["model_type"] != cls.model_type:
														logger.warning(
														    f"You are using a model of type {config_dict['model_type']} to instantiate a model of type "
														    f"{cls.model_type}. This is not supported for all configurations of models and can yield errors." )

										return cls.from_dict(__snake_case    , **__snake_case )




class 		__A      (			UpperCamelCase__			):
						UpperCamelCase     						=					"""pix2struct"""
						UpperCamelCase     						=					True

						def __init__(		self   :Union[str, Any]    , __snake_case   :Optional[int]=None    , __snake_case   :List[Any]=None    , __snake_case   :Optional[Any]=1.0    , __snake_case   :Tuple=0.02    , __snake_case   :str=False    , __snake_case   :List[str]=False    , __snake_case   :str=True    , **__snake_case   :List[str]    , ):
										'''simple docstring'''

										super().__init__(tie_word_embeddings=__snake_case    , is_encoder_decoder=__snake_case    , **__snake_case )

										if text_config is None:
														__magic_name__	:	int								={}
														logger.info("""text_config is None. Initializing the Pix2StructTextConfig with default values.""" )

										if vision_config is None:
														__magic_name__	:	str								={}
														logger.info("""vision_config is None. Initializing the Pix2StructVisionConfig with default values.""" )

										__magic_name__	:	Union[str, Any]								=PixaStructTextConfig(**__snake_case )
										__magic_name__	:	str								=PixaStructVisionConfig(**__snake_case )

										__magic_name__	:	int								=self.text_config.decoder_start_token_id
										__magic_name__	:	Optional[Any]								=self.text_config.pad_token_id
										__magic_name__	:	str								=self.text_config.eos_token_id

										__magic_name__	:	int								=initializer_factor
										__magic_name__	:	List[Any]								=initializer_range

										__magic_name__	:	Dict								=self.initializer_range
										__magic_name__	:	Union[str, Any]								=self.initializer_range

										__magic_name__	:	Tuple								=is_vqa

						@classmethod
						def     A__						(		cls   :Optional[int]    , __snake_case   :PixaStructTextConfig    , __snake_case   :PixaStructVisionConfig    , **__snake_case   :List[str] ):
										'''simple docstring'''

										return cls(text_config=text_config.to_dict()    , vision_config=vision_config.to_dict()    , **__snake_case )


						def     A__						(		self   :Dict ):
										'''simple docstring'''

										__magic_name__	:	Union[str, Any]								=copy.deepcopy(self.__dict__ )
										__magic_name__	:	Any								=self.text_config.to_dict()
										__magic_name__	:	List[str]								=self.vision_config.to_dict()
										__magic_name__	:	Optional[int]								=self.__class__.model_type
										return output




