






import heapq as hq
import math
from collections.abc import Iterator



class   lowerCamelCase				:







		'''simple docstring'''



		def __init__(							self    ,		_UpperCamelCase       )     ->							List[str]:
							UpperCAmelCase_   :				List[Any]						=						str(id_       )
							UpperCAmelCase_   :				Union[str, Any]						=						None
							UpperCAmelCase_   :				str						=						None
							UpperCAmelCase_   :				Any						=						[]
							UpperCAmelCase_   :				List[str]						=						{}  # {vertex:distance}



		def __lt__(							self    ,		_UpperCamelCase       )     ->							Dict:
							return self.key < other.key



		def __repr__(							self       )     ->							Union[str, Any]:
							return self.id



		def  __UpperCAmelCase      (							self    ,		_UpperCamelCase       )     ->							Optional[int]:
							self.neighbors.append(_UpperCamelCase       )



		def  __UpperCAmelCase      (							self    ,		_UpperCamelCase    ,		_UpperCamelCase       )     ->							List[Any]:
							UpperCAmelCase_   :				Union[str, Any]						=						weight





def 					lowercase__				(					__snake_case   :							int					,	__snake_case   :							List[str]					,	__snake_case   :							Dict					,	__snake_case   :							Union[str, Any]  ):


					'''simple docstring'''


					graph[a - 1].add_neighbor(graph[b - 1]  )
					graph[b - 1].add_neighbor(graph[a - 1]  )
					# add the edges:
					graph[a - 1].add_edge(graph[b - 1]					,	__snake_case  )
					graph[b - 1].add_edge(graph[a - 1]					,	__snake_case  )




def 					lowercase__				(					__snake_case   :							list					,	__snake_case   :							Vertex  ):


					'''simple docstring'''


					UpperCAmelCase_   :				Union[str, Any]						=						[]
					for u in graph:
										UpperCAmelCase_   :				List[Any]						=						math.inf
										UpperCAmelCase_   :				Dict						=						None
					UpperCAmelCase_   :				List[str]						=						0
					UpperCAmelCase_   :				List[str]						=						graph[:]
					while q:
										UpperCAmelCase_   :				Optional[int]						=						min(__snake_case  )
										q.remove(__snake_case  )
										for v in u.neighbors:
															if (v in q) and (u.edges[v.id] < v.key):
																				UpperCAmelCase_   :				Dict						=						u
																				UpperCAmelCase_   :				Dict						=						u.edges[v.id]
					for i in range(1					,	len(__snake_case  )  ):
										a.append((int(graph[i].id  ) + 1, int(graph[i].pi.id  ) + 1)  )
					return a




def 					lowercase__				(					__snake_case   :							list					,	__snake_case   :							Vertex  ):


					'''simple docstring'''


					for u in graph:
										UpperCAmelCase_   :				Any						=						math.inf
										UpperCAmelCase_   :				List[str]						=						None
					UpperCAmelCase_   :				Optional[Any]						=						0

					UpperCAmelCase_   :				str						=						list(__snake_case  )
					hq.heapify(__snake_case  )

					while h:
										UpperCAmelCase_   :				Dict						=						hq.heappop(__snake_case  )
										for v in u.neighbors:
															if (v in h) and (u.edges[v.id] < v.key):
																				UpperCAmelCase_   :				Tuple						=						u
																				UpperCAmelCase_   :				Dict						=						u.edges[v.id]
																				hq.heapify(__snake_case  )

					for i in range(1					,	len(__snake_case  )  ):
										yield (int(graph[i].id  ) + 1, int(graph[i].pi.id  ) + 1)




def 					lowercase__				(					):


					'''simple docstring'''




if __name__ == "__main__":
		import doctest

		doctest.testmod()














from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available


__UpperCAmelCase     							=						{
    'configuration_roc_bert': ['ROC_BERT_PRETRAINED_CONFIG_ARCHIVE_MAP', 'RoCBertConfig'],
    'tokenization_roc_bert': ['RoCBertTokenizer'],
}

try:
		if not is_tokenizers_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		pass

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		__UpperCAmelCase     							=						[
		    'ROC_BERT_PRETRAINED_MODEL_ARCHIVE_LIST',
		    'RoCBertForCausalLM',
		    'RoCBertForMaskedLM',
		    'RoCBertForMultipleChoice',
		    'RoCBertForPreTraining',
		    'RoCBertForQuestionAnswering',
		    'RoCBertForSequenceClassification',
		    'RoCBertForTokenClassification',
		    'RoCBertLayer',
		    'RoCBertModel',
		    'RoCBertPreTrainedModel',
		    'load_tf_weights_in_roc_bert',
		]

if TYPE_CHECKING:
		from .configuration_roc_bert import ROC_BERT_PRETRAINED_CONFIG_ARCHIVE_MAP, RoCBertConfig
		from .tokenization_roc_bert import RoCBertTokenizer

		try:
				if not is_tokenizers_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				raise OptionalDependencyNotAvailable()

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_roc_bert import (
				    ROC_BERT_PRETRAINED_MODEL_ARCHIVE_LIST,
				    RoCBertForCausalLM,
				    RoCBertForMaskedLM,
				    RoCBertForMultipleChoice,
				    RoCBertForPreTraining,
				    RoCBertForQuestionAnswering,
				    RoCBertForSequenceClassification,
				    RoCBertForTokenClassification,
				    RoCBertLayer,
				    RoCBertModel,
				    RoCBertPreTrainedModel,
				    load_tf_weights_in_roc_bert,
				)


else:
		import sys

		__UpperCAmelCase     							=						_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)






