




'''simple docstring'''


def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					Optional[int] ,    UpperCamelCase__    :					Tuple ,    UpperCamelCase__    :					str ,    UpperCamelCase__    :					Optional[int]				):




     """simple docstring"""


     a_     :							Dict     						=  [False] * len(UpperCamelCase__				)
     a_     :							int     						=  []
     queue.append(UpperCamelCase__				)
     a_     :							Any     						=  True

     while queue:
          a_     :							Tuple     						=  queue.pop(0				)
          for ind in range(len(graph[u]				)				):
               if visited[ind] is False and graph[u][ind] > 0:
                    queue.append(UpperCamelCase__				)
                    a_     :							Dict     						=  True
                    a_     :							Union[str, Any]     						=  u

     return visited[t]



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					str ,    UpperCamelCase__    :					Dict ,    UpperCamelCase__    :					Dict				):




     """simple docstring"""


     a_     :							int     						=  [-1] * (len(UpperCamelCase__				))
     a_     :							Optional[int]     						=  0
     while bfs(UpperCamelCase__ ,    UpperCamelCase__ ,    UpperCamelCase__ ,    UpperCamelCase__				):
          a_     :							Optional[int]     						=  float("""Inf"""				)
          a_     :							str     						=  sink

          while s != source:
               # Find the minimum value in select path
               a_     :							str     						=  min(UpperCamelCase__ ,    graph[parent[s]][s]				)
               a_     :							Tuple     						=  parent[s]

          max_flow += path_flow
          a_     :							Union[str, Any]     						=  sink

          while v != source:
               a_     :							str     						=  parent[v]
               graph[u][v] -= path_flow
               graph[v][u] += path_flow
               a_     :							str     						=  parent[v]
     return max_flow


lowerCAmelCase_      :  Dict				     =  [
    [0, 16, 13, 0, 0, 0],
    [0, 0, 10, 12, 0, 0],
    [0, 4, 0, 0, 14, 0],
    [0, 0, 9, 0, 0, 20],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]

lowerCAmelCase_     ,   lowerCAmelCase_      :  List[str]				     =  0, 5


print(ford_fulkerson(graph, source, sink))






'''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__)
