

def      snake_case__      (   SCREAMING_SNAKE_CASE_		:   List[str]     ,					SCREAMING_SNAKE_CASE_		:   Dict     ,					SCREAMING_SNAKE_CASE_		:   Dict     ,					SCREAMING_SNAKE_CASE_		:   str      ):



   '''simple docstring'''





   lowercase__   :       List[Any]				=	[False] * len(SCREAMING_SNAKE_CASE_      )
   lowercase__   :       Tuple				=	[]
   queue.append(SCREAMING_SNAKE_CASE_      )
   lowercase__   :       Optional[int]				=	True

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

   return visited[t]

def      snake_case__      (   SCREAMING_SNAKE_CASE_		:   Any     ,					SCREAMING_SNAKE_CASE_		:   str     ,					SCREAMING_SNAKE_CASE_		:   List[str]      ):



   '''simple docstring'''





   lowercase__   :       str				=	[-1] * (len(SCREAMING_SNAKE_CASE_      ))
   lowercase__   :       Optional[Any]				=	0
   while bfs(SCREAMING_SNAKE_CASE_     ,					SCREAMING_SNAKE_CASE_     ,					SCREAMING_SNAKE_CASE_     ,					SCREAMING_SNAKE_CASE_      ):
      lowercase__   :       int				=	float('Inf'      )
      lowercase__   :       Optional[Any]				=	sink

      while s != source:
         # Find the minimum value in select path
         lowercase__   :       List[str]				=	min(SCREAMING_SNAKE_CASE_     ,					graph[parent[s]][s]      )
         lowercase__   :       Optional[int]				=	parent[s]

      max_flow += path_flow
      lowercase__   :       List[Any]				=	sink

      while v != source:
         lowercase__   :       Union[str, Any]				=	parent[v]
         graph[u][v] -= path_flow
         graph[v][u] += path_flow
         lowercase__   :       Dict				=	parent[v]
   return max_flow


snake_case_        =			[
    [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],
]

snake_case_  ,		snake_case_        =			0, 5

print(ford_fulkerson(graph, source, sink))




from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_tf_available,
    is_torch_available,
)


snake_case_        =			{'''configuration_encoder_decoder''': ['''EncoderDecoderConfig''']}

try:
       if not is_torch_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       snake_case_        =			['''EncoderDecoderModel''']

try:
       if not is_tf_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       snake_case_        =			['''TFEncoderDecoderModel''']

try:
       if not is_flax_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       snake_case_        =			['''FlaxEncoderDecoderModel''']

if TYPE_CHECKING:
       from .configuration_encoder_decoder import EncoderDecoderConfig

       try:
              if not is_torch_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .modeling_encoder_decoder import EncoderDecoderModel

       try:
              if not is_tf_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .modeling_tf_encoder_decoder import TFEncoderDecoderModel

       try:
              if not is_flax_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .modeling_flax_encoder_decoder import FlaxEncoderDecoderModel

else:
       import sys

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

