






# using dfs for finding eulerian path traversal


def __A    (      __lowerCAmelCase ,		__lowerCAmelCase ,		__lowerCAmelCase ,		__lowerCAmelCase=None	)->  Optional[Any]:





						"""simple docstring"""



						_UpperCAmelCase									=			(path or []) + [u]
						for v in graph[u]:
												if visited_edge[u][v] is False:
																		_UpperCAmelCase					, _UpperCAmelCase									=			True, True
																		_UpperCAmelCase									=			dfs(__lowerCAmelCase ,		__lowerCAmelCase ,		__lowerCAmelCase ,		__lowerCAmelCase	)
						return path


def __A    (      __lowerCAmelCase ,		__lowerCAmelCase	)->  List[Any]:





						"""simple docstring"""



						_UpperCAmelCase									=			0
						_UpperCAmelCase									=			-1
						for i in range(__lowerCAmelCase	):
												if i not in graph.keys():
																		continue
												if len(graph[i]	) % 2 == 1:
																		odd_degree_nodes += 1
																		_UpperCAmelCase									=			i
						if odd_degree_nodes == 0:
												return 1, odd_node
						if odd_degree_nodes == 2:
												return 2, odd_node
						return 3, odd_node


def __A    (      __lowerCAmelCase ,		__lowerCAmelCase	)->  Optional[Any]:





						"""simple docstring"""



						_UpperCAmelCase									=			[[False for _ in range(max_node + 1	)] for _ in range(max_node + 1	)]
						_UpperCAmelCase					, _UpperCAmelCase									=			check_circuit_or_path(__lowerCAmelCase ,		__lowerCAmelCase	)
						if check == 3:
												print('graph is not Eulerian'	)
												print('no path'	)
												return
						_UpperCAmelCase									=			1
						if check == 2:
												_UpperCAmelCase									=			odd_node
												print('graph has a Euler path'	)
						if check == 1:
												print('graph has a Euler cycle'	)
						_UpperCAmelCase									=			dfs(__lowerCAmelCase ,		__lowerCAmelCase ,		__lowerCAmelCase	)
						print(__lowerCAmelCase	)


def __A    (      )->  List[Any]:





						"""simple docstring"""



						_UpperCAmelCase									=			{1: [2, 3, 4], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [4]}
						_UpperCAmelCase									=			{1: [2, 3, 4, 5], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [1, 4]}
						_UpperCAmelCase									=			{1: [2, 3, 4], 2: [1, 3, 4], 3: [1, 2], 4: [1, 2, 5], 5: [4]}
						_UpperCAmelCase									=			{1: [2, 3], 2: [1, 3], 3: [1, 2]}
						_UpperCAmelCase									=			{
						    1: [],
						    2: []
						    # all degree is zero
						}
						_UpperCAmelCase									=			10
						check_euler(__lowerCAmelCase ,		__lowerCAmelCase	)
						check_euler(__lowerCAmelCase ,		__lowerCAmelCase	)
						check_euler(__lowerCAmelCase ,		__lowerCAmelCase	)
						check_euler(__lowerCAmelCase ,		__lowerCAmelCase	)
						check_euler(__lowerCAmelCase ,		__lowerCAmelCase	)


if __name__ == "__main__":
		main()



"""simple docstring"""





import torch

from transformers import AutoModel







class 				SCREAMING_SNAKE_CASE					(		torch.nn.Module       ):






					"""simple docstring"""



					def __init__(       self			:				Tuple   ,lowercase_			:				Dict="sayef/fsner-bert-base-uncased"		):
						super(lowercase_   ,self		).__init__()

						lowerCAmelCase__	:						int  				=	AutoModel.from_pretrained(lowercase_   ,return_dict=lowercase_		)
						lowerCAmelCase__	:						Optional[int]  				=	torch.nn.CosineSimilarity(3   ,1E-08		)
						lowerCAmelCase__	:						List[str]  				=	torch.nn.Softmax(dim=1		)







					def        __lowerCAmelCase (       self			:				str   ,**lowercase_			:				int		):
						return self.bert(**lowercase_		).last_hidden_state







					def        __lowerCAmelCase (       self			:				List[Any]   ,lowercase_			:				Optional[int]		):
						return token_embeddings.sum(2   ,keepdim=lowercase_		)







					def        __lowerCAmelCase (       self			:				Dict   ,lowercase_			:				int   ,lowercase_			:				str   ,lowercase_			:				Tuple=1		):
						return self.softmax(T * self.cos(lowercase_   ,lowercase_		)		)







					def        __lowerCAmelCase (       self			:				Optional[Any]   ,lowercase_			:				str   ,lowercase_			:				Union[str, Any]		):
						lowerCAmelCase__	:						List[Any]  				=	W_supports['''sizes'''].tolist()
						lowerCAmelCase__	:						Dict  				=	W_supports['''start_token_id'''].item()
						lowerCAmelCase__	:						Union[str, Any]  				=	W_supports['''end_token_id'''].item()

						del W_supports["sizes"]
						del W_supports["start_token_id"]
						del W_supports["end_token_id"]

						lowerCAmelCase__	:						Optional[Any]  				=	self.BERT(**lowercase_		)
						lowerCAmelCase__	:						int  				=	self.BERT(**lowercase_		)

						lowerCAmelCase__	:						List[str]  				=	None
						lowerCAmelCase__	:						Union[str, Any]  				=	None

						lowerCAmelCase__	:						int  				=	W_supports['''input_ids'''] == start_token_id
						lowerCAmelCase__	:						Optional[Any]  				=	W_supports['''input_ids'''] == end_token_id

						for i, size in enumerate(lowercase_		):
							if i == 0:
								lowerCAmelCase__	:						str  				=	0
							else:
								lowerCAmelCase__	:						List[Any]  				=	support_sizes[i - 1]

							lowerCAmelCase__	:						Optional[Any]  				=	S[s : s + size][start_token_masks[s : s + size]]
							lowerCAmelCase__	:						List[Any]  				=	S[s : s + size][end_token_masks[s : s + size]]

							lowerCAmelCase__	:						Union[str, Any]  				=	torch.matmul(q[i]   ,s_start.T		).sum(1		).softmax(0		)
							lowerCAmelCase__	:						Any  				=	torch.matmul(q[i]   ,s_end.T		).sum(1		).softmax(0		)

							if p_starts is not None:
								lowerCAmelCase__	:						List[Any]  				=	torch.vstack((p_starts, p_start)		)
								lowerCAmelCase__	:						List[Any]  				=	torch.vstack((p_ends, p_end)		)
							else:
								lowerCAmelCase__	:						Union[str, Any]  				=	p_start
								lowerCAmelCase__	:						str  				=	p_end

						return p_starts, p_ends




