




"""simple docstring"""






# using dfs for finding eulerian path traversal







def 	_snake_case     (							lowercase__				,       lowercase__				,       lowercase__				,       lowercase__=None						):
				_lowerCamelCase	:     Union[str, Any]       =       (path or []) + [u]
				for v in graph[u]:
								if visited_edge[u][v] is False:
												_lowerCamelCase,					_lowerCamelCase	:     Optional[Any]       =       True, True
												_lowerCamelCase	:     Optional[int]       =       dfs(lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						)
				return path







def 	_snake_case     (							lowercase__				,       lowercase__						):
				_lowerCamelCase	:     int       =       0
				_lowerCamelCase	:     List[Any]       =       -1
				for i in range(lowercase__						):
								if i not in graph.keys():
												continue
								if len(graph[i]						) % 2 == 1:
												odd_degree_nodes += 1
												_lowerCamelCase	:     int       =       i
				if odd_degree_nodes == 0:
								return 1, odd_node
				if odd_degree_nodes == 2:
								return 2, odd_node
				return 3, odd_node







def 	_snake_case     (							lowercase__				,       lowercase__						):
				_lowerCamelCase	:     Any       =       [[False for _ in range(max_node + 1						)] for _ in range(max_node + 1						)]
				_lowerCamelCase,					_lowerCamelCase	:     Any       =       check_circuit_or_path(lowercase__				,       lowercase__						)
				if check == 3:
								print('graph is not Eulerian'						)
								print('no path'						)
								return
				_lowerCamelCase	:     List[str]       =       1
				if check == 2:
								_lowerCamelCase	:     Optional[int]       =       odd_node
								print('graph has a Euler path'						)
				if check == 1:
								print('graph has a Euler cycle'						)
				_lowerCamelCase	:     str       =       dfs(lowercase__				,       lowercase__				,       lowercase__						)
				print(lowercase__						)







def 	_snake_case     (							):
				_lowerCamelCase	:     Optional[int]       =       {1: [2, 3, 4], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [4]}
				_lowerCamelCase	:     str       =       {1: [2, 3, 4, 5], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [1, 4]}
				_lowerCamelCase	:     List[Any]       =       {1: [2, 3, 4], 2: [1, 3, 4], 3: [1, 2], 4: [1, 2, 5], 5: [4]}
				_lowerCamelCase	:     Tuple       =       {1: [2, 3], 2: [1, 3], 3: [1, 2]}
				_lowerCamelCase	:     Optional[int]       =       {
				    1: [],
				    2: []
				    # all degree is zero
				}
				_lowerCamelCase	:     int       =       10
				check_euler(lowercase__				,       lowercase__						)
				check_euler(lowercase__				,       lowercase__						)
				check_euler(lowercase__				,       lowercase__						)
				check_euler(lowercase__				,       lowercase__						)
				check_euler(lowercase__				,       lowercase__						)


if __name__ == "__main__":
			main()





"""simple docstring"""






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


lowercase__			=		logging.get_logger(__name__)

lowercase__			=		{"""openai-gpt""": """https://huggingface.co/openai-gpt/resolve/main/config.json"""}






class lowerCAmelCase__      (	lowercase		):






			'''simple docstring'''



			lowerCamelCase__ =     """openai-gpt"""
			lowerCamelCase__ =     {
			    """max_position_embeddings""": """n_positions""",
			    """hidden_size""": """n_embd""",
			    """num_attention_heads""": """n_head""",
			    """num_hidden_layers""": """n_layer""",
			}
			def __init__(    self    , lowercase=40478    , lowercase=512    , lowercase=768    , lowercase=12    , lowercase=12    , lowercase="gelu"    , lowercase=0.1    , lowercase=0.1    , lowercase=0.1    , lowercase=1E-5    , lowercase=0.02    , lowercase="cls_index"    , lowercase=True    , lowercase=None    , lowercase=True    , lowercase=0.1    , **lowercase    , ):
							_lowerCamelCase	:     Tuple       =       vocab_size
							_lowerCamelCase	:     List[str]       =       n_positions
							_lowerCamelCase	:     Tuple       =       n_embd
							_lowerCamelCase	:     Optional[int]       =       n_layer
							_lowerCamelCase	:     List[Any]       =       n_head
							_lowerCamelCase	:     Dict       =       afn
							_lowerCamelCase	:     Union[str, Any]       =       resid_pdrop
							_lowerCamelCase	:     Dict       =       embd_pdrop
							_lowerCamelCase	:     List[Any]       =       attn_pdrop
							_lowerCamelCase	:     Any       =       layer_norm_epsilon
							_lowerCamelCase	:     List[Any]       =       initializer_range
							_lowerCamelCase	:     List[Any]       =       summary_type
							_lowerCamelCase	:     List[str]       =       summary_use_proj
							_lowerCamelCase	:     Tuple       =       summary_activation
							_lowerCamelCase	:     int       =       summary_first_dropout
							_lowerCamelCase	:     str       =       summary_proj_to_labels
							super().__init__(**lowercase    )