




'''simple docstring'''


def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					Optional[int]				):




     """simple docstring"""


     return [
         {
             0: [1, 2],
             1: [0, 2],
             2: [0, 1, 3, 5],
             3: [2, 4],
             4: [3],
             5: [2, 6, 8],
             6: [5, 7],
             7: [6, 8],
             8: [5, 7],
         },
         {
             0: [6],
             1: [9],
             2: [4, 5],
             3: [4],
             4: [2, 3],
             5: [2],
             6: [0, 7],
             7: [6],
             8: [],
             9: [1],
         },
         {
             0: [4],
             1: [6],
             2: [],
             3: [5, 6, 7],
             4: [0, 6],
             5: [3, 8, 9],
             6: [1, 3, 4, 7],
             7: [3, 6, 8, 9],
             8: [5, 7],
             9: [5, 7],
         },
         {
             0: [1, 3],
             1: [0, 2, 4],
             2: [1, 3, 4],
             3: [0, 2, 4],
             4: [1, 2, 3],
         },
     ][index]



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					dict[int, list[int]]				):




     """simple docstring"""


     a_     :							Optional[Any]     						=  0
     a_     :							Tuple     						=  len(UpperCamelCase__				)  # No of vertices in graph
     a_     :							Optional[Any]     						=  [0] * n
     a_     :							str     						=  [False] * n

     def dfs(UpperCamelCase__    :					int ,    UpperCamelCase__    :					int ,    UpperCamelCase__    :					str ,    UpperCamelCase__    :					Optional[int]				):
          a_     :							List[Any]     						=  True
          a_     :							Union[str, Any]     						=  id_
          id_ += 1
          for to in graph[at]:
               if to == parent:
                    pass
               elif not visited[to]:
                    dfs(UpperCamelCase__ ,    UpperCamelCase__ ,    UpperCamelCase__ ,    id_				)
                    a_     :							Dict     						=  min(low[at] ,    low[to]				)
                    if id_ <= low[to]:
                         bridges.append((at, to) if at < to else (to, at)				)
               else:
                    # This edge is a back edge and cannot be a bridge
                    a_     :							Any     						=  min(low[at] ,    low[to]				)

     a_     :							list[tuple[int, int]]     						=  []
     for i in range(UpperCamelCase__				):
          if not visited[i]:
               dfs(UpperCamelCase__ ,    -1 ,    UpperCamelCase__ ,    id_				)
     return bridges


if __name__ == "__main__":
 import doctest

 doctest.testmod()






'''simple docstring'''


from typing import TYPE_CHECKING

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


lowerCAmelCase_      :  Dict				     =  {
    'configuration_graphormer': ['GRAPHORMER_PRETRAINED_CONFIG_ARCHIVE_MAP', 'GraphormerConfig'],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCAmelCase_      :  int				     =  [
     'GRAPHORMER_PRETRAINED_MODEL_ARCHIVE_LIST',
     'GraphormerForGraphClassification',
     'GraphormerModel',
     'GraphormerPreTrainedModel',
 ]


if TYPE_CHECKING:
 from .configuration_graphormer import GRAPHORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, GraphormerConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_graphormer import (
      GRAPHORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
      GraphormerForGraphClassification,
      GraphormerModel,
      GraphormerPreTrainedModel,
  )


else:
 import sys

 lowerCAmelCase_      :  Tuple				     =  _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)
