





'''simple docstring'''




class     A_      :




 def __init__(   self			:       Any       ):
      _UpperCAmelCase					=  0
      _UpperCAmelCase					=  0
      _UpperCAmelCase					=  {}




 def 	lowercase      (   self			:       List[str]      ,     snake_case_			:       Any       ):

      if vertex not in self.adjacency:
           _UpperCAmelCase					=  {}
           self.num_vertices += 1




 def 	lowercase      (   self			:       int      ,     snake_case_			:       Dict      ,     snake_case_			:       Any      ,     snake_case_			:       Tuple       ):
      self.add_vertex(snake_case_       )
      self.add_vertex(snake_case_       )

      if head == tail:
           return

      _UpperCAmelCase					=  weight
      _UpperCAmelCase					=  weight




 def 	lowercase      (   self			:       str       ):
      _UpperCAmelCase					=  self.get_edges()
      for edge in edges:
           _UpperCAmelCase				,    _UpperCAmelCase				,    _UpperCAmelCase					=  edge
           edges.remove((tail, head, weight)       )
      for i in range(len(snake_case_       )       ):
           _UpperCAmelCase					=  list(edges[i]       )

      edges.sort(key=lambda snake_case_       : e[2]       )
      for i in range(len(snake_case_       ) - 1       ):
           if edges[i][2] >= edges[i + 1][2]:
                _UpperCAmelCase					=  edges[i][2] + 1
      for edge in edges:
           _UpperCAmelCase				,    _UpperCAmelCase				,    _UpperCAmelCase					=  edge
           _UpperCAmelCase					=  weight
           _UpperCAmelCase					=  weight




 def __str__(   self			:       List[Any]       ):
      _UpperCAmelCase					=  ""
      for tail in self.adjacency:
           for head in self.adjacency[tail]:
                _UpperCAmelCase					=  self.adjacency[head][tail]
                string += f'{head} -> {tail} == {weight}\n'
      return string.rstrip("\n"       )




 def 	lowercase      (   self			:       Optional[int]       ):
      _UpperCAmelCase					=  []
      for tail in self.adjacency:
           for head in self.adjacency[tail]:
                output.append((tail, head, self.adjacency[head][tail])       )
      return output




 def 	lowercase      (   self			:       Any       ):
      return self.adjacency.keys()




 @staticmethod
 def 	lowercase      (   snake_case_			:       Dict=None      ,     snake_case_			:       Tuple=None       ):
      _UpperCAmelCase					=  Graph()
      if vertices is None:
           _UpperCAmelCase					=  []
      if edges is None:
           _UpperCAmelCase					=  []
      for vertex in vertices:
           g.add_vertex(snake_case_       )
      for edge in edges:
           g.add_edge(*snake_case_       )
      return g







 class     A_      :




  def __init__(   self			:       Any       ):
       _UpperCAmelCase					=  {}
       _UpperCAmelCase					=  {}




  def __len__(   self			:       Optional[int]       ):
       return len(self.parent       )




  def 	lowercase      (   self			:       List[str]      ,     snake_case_			:       Any       ):

       if item in self.parent:
            return self.find(snake_case_       )

       _UpperCAmelCase					=  item
       _UpperCAmelCase					=  0
       return item




  def 	lowercase      (   self			:       int      ,     snake_case_			:       Optional[int]       ):

       if item not in self.parent:
            return self.make_set(snake_case_       )
       if item != self.parent[item]:
            _UpperCAmelCase					=  self.find(self.parent[item]       )
       return self.parent[item]




  def 	lowercase      (   self			:       Any      ,     snake_case_			:       List[Any]      ,     snake_case_			:       Optional[int]       ):
       _UpperCAmelCase					=  self.find(snake_case_       )
       _UpperCAmelCase					=  self.find(snake_case_       )

       if roota == roota:
            return roota

       if self.rank[roota] > self.rank[roota]:
            _UpperCAmelCase					=  roota
            return roota

       if self.rank[roota] < self.rank[roota]:
            _UpperCAmelCase					=  roota
            return roota

       if self.rank[roota] == self.rank[roota]:
            self.rank[roota] += 1
            _UpperCAmelCase					=  roota
            return roota
       return None





 @staticmethod
 def 	lowercase      (   snake_case_			:       Dict       ):
      _UpperCAmelCase					=  graph.num_vertices

      _UpperCAmelCase					=  Graph.UnionFind()
      _UpperCAmelCase					=  []
      while num_components > 1:
           _UpperCAmelCase					=  {}
           for vertex in graph.get_vertices():
                _UpperCAmelCase					=  -1

           _UpperCAmelCase					=  graph.get_edges()
           for edge in edges:
                _UpperCAmelCase				,    _UpperCAmelCase				,    _UpperCAmelCase					=  edge
                edges.remove((tail, head, weight)       )
           for edge in edges:
                _UpperCAmelCase				,    _UpperCAmelCase				,    _UpperCAmelCase					=  edge
                _UpperCAmelCase					=  union_find.find(snake_case_       )
                _UpperCAmelCase					=  union_find.find(snake_case_       )
                if seta != seta:
                     if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
                          _UpperCAmelCase					=  [head, tail, weight]

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








from typing import TYPE_CHECKING

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


A				:       Optional[Any]      =  {'configuration_van': ['VAN_PRETRAINED_CONFIG_ARCHIVE_MAP', 'VanConfig']}


try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	A				:       Optional[Any]      =  [
	    'VAN_PRETRAINED_MODEL_ARCHIVE_LIST',
	    'VanForImageClassification',
	    'VanModel',
	    'VanPreTrainedModel',
	]

if TYPE_CHECKING:
	from .configuration_van import VAN_PRETRAINED_CONFIG_ARCHIVE_MAP, VanConfig

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_van import (
		    VAN_PRETRAINED_MODEL_ARCHIVE_LIST,
		    VanForImageClassification,
		    VanModel,
		    VanPreTrainedModel,
		)

else:
	import sys

	A				:       Union[str, Any]      =  _LazyModule(__name__, globals()['__file__'], _import_structure)





