


'''simple docstring'''






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






class  __magic_name__							:






       def __init__(      self  ,							snake_case)						->  int:




          '''simple docstring'''
          _UpperCAmelCase       :       Tuple							   =str(id_)
          _UpperCAmelCase       :       int							   =None
          _UpperCAmelCase       :       Optional[Any]							   =None
          _UpperCAmelCase       :       str							   =[]
          _UpperCAmelCase       :       Union[str, Any]							   ={}  # {vertex:distance}






       def __lt__(      self  ,							snake_case)						->  List[Any]:




          '''simple docstring'''
          return self.key < other.key






       def __repr__(      self)						->  int:




          '''simple docstring'''
          return self.id






       def       lowerCAmelCase		(      self  ,							snake_case)						->  Tuple:




          '''simple docstring'''
          self.neighbors.append(snake_case)






       def       lowerCAmelCase		(      self  ,							snake_case  ,							snake_case)						->  List[Any]:




          '''simple docstring'''
          _UpperCAmelCase       :       Dict							   =weight






def lowerCamelCase__      (						__lowerCamelCase	:							Tuple	,   __lowerCamelCase	:							List[Any]	,   __lowerCamelCase	:							str	,   __lowerCamelCase	:							int							):







   '''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]	,   __lowerCamelCase							)
   graph[b - 1].add_edge(graph[a - 1]	,   __lowerCamelCase							)





def lowerCamelCase__      (						__lowerCamelCase	:							list	,   __lowerCamelCase	:							Vertex							):







   '''simple docstring'''




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





def lowerCamelCase__      (						__lowerCamelCase	:							list	,   __lowerCamelCase	:							Vertex							):







   '''simple docstring'''




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

   _UpperCAmelCase       :       List[Any]							   =list(__lowerCamelCase							)
   hq.heapify(__lowerCamelCase							)

   while h:
      _UpperCAmelCase       :       int							   =hq.heappop(__lowerCamelCase							)
      for v in u.neighbors:
         if (v in h) and (u.edges[v.id] < v.key):
            _UpperCAmelCase       :       Optional[int]							   =u
            _UpperCAmelCase       :       Any							   =u.edges[v.id]
            hq.heapify(__lowerCamelCase							)

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





def lowerCamelCase__      (						):







   '''simple docstring'''






if __name__ == "__main__":
 import doctest

 doctest.testmod()





'''simple docstring'''






from typing import TYPE_CHECKING

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


lowercase							={
    'configuration_groupvit': [
        'GROUPVIT_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'GroupViTConfig',
        'GroupViTOnnxConfig',
        'GroupViTTextConfig',
        'GroupViTVisionConfig',
    ],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowercase							=[
     'GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST',
     'GroupViTModel',
     'GroupViTPreTrainedModel',
     'GroupViTTextModel',
     'GroupViTVisionModel',
 ]

try:
 if not is_tf_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowercase							=[
     'TF_GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST',
     'TFGroupViTModel',
     'TFGroupViTPreTrainedModel',
     'TFGroupViTTextModel',
     'TFGroupViTVisionModel',
 ]

if TYPE_CHECKING:
 from .configuration_groupvit import (
     GROUPVIT_PRETRAINED_CONFIG_ARCHIVE_MAP,
     GroupViTConfig,
     GroupViTOnnxConfig,
     GroupViTTextConfig,
     GroupViTVisionConfig,
 )

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_groupvit import (
      GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
      GroupViTModel,
      GroupViTPreTrainedModel,
      GroupViTTextModel,
      GroupViTVisionModel,
  )

 try:
  if not is_tf_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_tf_groupvit import (
      TF_GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
      TFGroupViTModel,
      TFGroupViTPreTrainedModel,
      TFGroupViTTextModel,
      TFGroupViTVisionModel,
  )

else:
 import sys

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

