




'''simple docstring'''







class 					_a :





     '''simple docstring'''



     def __init__(				self							)      ->				str:
          snake_case			:      Optional[Any]        =			0
          snake_case			:      List[str]        =			0
          snake_case			:      Union[str, Any]        =			{}







     def 			snake_case_      (				self							,__a							)      ->				Optional[int]:
          if vertex not in self.adjacency:
               snake_case			:      List[Any]        =			{}
               self.num_vertices += 1







     def 			snake_case_      (				self							,__a							,__a							,__a							)      ->				List[str]:
          self.add_vertex(__a							)
          self.add_vertex(__a							)

          if head == tail:
               return

          snake_case			:      int        =			weight
          snake_case			:      Union[str, Any]        =			weight







     def 			snake_case_      (				self							)      ->				int:
          snake_case			:      Any        =			self.get_edges()
          for edge in edges:
               snake_case ,		snake_case ,		snake_case			:      Any        =			edge
               edges.remove((tail, head, weight)							)
          for i in range(len(__a							)							):
               snake_case			:      Optional[int]        =			list(edges[i]							)

          edges.sort(key=lambda __a							: e[2]							)
          for i in range(len(__a							) - 1							):
               if edges[i][2] >= edges[i + 1][2]:
                    snake_case			:      Any        =			edges[i][2] + 1
          for edge in edges:
               snake_case ,		snake_case ,		snake_case			:      List[str]        =			edge
               snake_case			:      List[Any]        =			weight
               snake_case			:      Union[str, Any]        =			weight







     def __str__(				self							)      ->				Union[str, Any]:
          snake_case			:      Optional[Any]        =			""""""
          for tail in self.adjacency:
               for head in self.adjacency[tail]:
                    snake_case			:      Tuple        =			self.adjacency[head][tail]
                    string += F'''{head} -> {tail} == {weight}\n'''
          return string.rstrip("""\n"""							)







     def 			snake_case_      (				self							)      ->				str:
          snake_case			:      Union[str, Any]        =			[]
          for tail in self.adjacency:
               for head in self.adjacency[tail]:
                    output.append((tail, head, self.adjacency[head][tail])							)
          return output







     def 			snake_case_      (				self							)      ->				List[Any]:
          return self.adjacency.keys()







     @staticmethod
     def 			snake_case_      (				__a=None							,__a=None							)      ->				Union[str, Any]:
          snake_case			:      str        =			Graph()
          if vertices is None:
               snake_case			:      Union[str, Any]        =			[]
          if edges is None:
               snake_case			:      Union[str, Any]        =			[]
          for vertex in vertices:
               g.add_vertex(__a							)
          for edge in edges:
               g.add_edge(*__a							)
          return g







     class 					_a :





          '''simple docstring'''



          def __init__(				self							)      ->				Tuple:
               snake_case			:      Any        =			{}
               snake_case			:      Any        =			{}







          def __len__(				self							)      ->				Dict:
               return len(self.parent							)







          def 			snake_case_      (				self							,__a							)      ->				Dict:
               if item in self.parent:
                    return self.find(__a							)

               snake_case			:      List[Any]        =			item
               snake_case			:      Union[str, Any]        =			0
               return item







          def 			snake_case_      (				self							,__a							)      ->				List[Any]:
               if item not in self.parent:
                    return self.make_set(__a							)
               if item != self.parent[item]:
                    snake_case			:      List[Any]        =			self.find(self.parent[item]							)
               return self.parent[item]







          def 			snake_case_      (				self							,__a							,__a							)      ->				Optional[Any]:
               snake_case			:      str        =			self.find(__a							)
               snake_case			:      Dict        =			self.find(__a							)

               if roota == roota:
                    return roota

               if self.rank[roota] > self.rank[roota]:
                    snake_case			:      int        =			roota
                    return roota

               if self.rank[roota] < self.rank[roota]:
                    snake_case			:      Any        =			roota
                    return roota

               if self.rank[roota] == self.rank[roota]:
                    self.rank[roota] += 1
                    snake_case			:      Optional[Any]        =			roota
                    return roota
               return None







     @staticmethod
     def 			snake_case_      (				__a							)      ->				Optional[int]:
          snake_case			:      Union[str, Any]        =			graph.num_vertices

          snake_case			:      List[Any]        =			Graph.UnionFind()
          snake_case			:      List[Any]        =			[]
          while num_components > 1:
               snake_case			:      Tuple        =			{}
               for vertex in graph.get_vertices():
                    snake_case			:      int        =			-1

               snake_case			:      List[str]        =			graph.get_edges()
               for edge in edges:
                    snake_case ,		snake_case ,		snake_case			:      Optional[Any]        =			edge
                    edges.remove((tail, head, weight)							)
               for edge in edges:
                    snake_case ,		snake_case ,		snake_case			:      Any        =			edge
                    snake_case			:      List[Any]        =			union_find.find(__a							)
                    snake_case			:      Tuple        =			union_find.find(__a							)
                    if seta != seta:
                         if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
                              snake_case			:      Dict        =			[head, tail, weight]

                         if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
                              snake_case			:      str        =			[head, tail, weight]
               for vertex in cheap_edge:
                    if cheap_edge[vertex] != -1:
                         snake_case ,		snake_case ,		snake_case			:      str        =			cheap_edge[vertex]
                         if union_find.find(__a							) != union_find.find(__a							):
                              union_find.union(__a							,__a							)
                              mst_edges.append(cheap_edge[vertex]							)
                              snake_case			:      Tuple        =			num_components - 1
          snake_case			:      Tuple        =			Graph.build(edges=__a							)
          return mst









'''simple docstring'''







from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowercase      :   Optional[int]      =       {
    """configuration_pegasus_x""": ["""PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP""", """PegasusXConfig"""],
}

try:
      if not is_torch_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      lowercase      :   int      =       [
          """PEGASUS_X_PRETRAINED_MODEL_ARCHIVE_LIST""",
          """PegasusXForConditionalGeneration""",
          """PegasusXModel""",
          """PegasusXPreTrainedModel""",
      ]


if TYPE_CHECKING:
      from .configuration_pegasus_x import PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP, PegasusXConfig

      try:
            if not is_torch_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_pegasus_x import (
                PEGASUS_X_PRETRAINED_MODEL_ARCHIVE_LIST,
                PegasusXForConditionalGeneration,
                PegasusXModel,
                PegasusXPreTrainedModel,
            )


else:
      import sys

      lowercase      :   Optional[Any]      =       _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)



