




lowerCamelCase       :       Optional[Any]        =    [
    [0, 1_6, 1_3, 0, 0, 0],
    [0, 0, 1_0, 1_2, 0, 0],
    [0, 4, 0, 0, 1_4, 0],
    [0, 0, 9, 0, 0, 2_0],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]




def 						SCREAMING_SNAKE_CASE__					(    lowercase						,lowercase						,lowercase						,lowercase     )  ->   Optional[int]:
   snake_case      :				Optional[Any]				=       [False] * len(lowercase     )
   snake_case      :				Dict				=       [s]
   snake_case      :				Optional[Any]				=       True

   while queue:
      snake_case      :				Any				=       queue.pop(0     )
      for ind in range(len(graph[u]     )     ):
         if visited[ind] is False and graph[u][ind] > 0:
            queue.append(lowercase     )
            snake_case      :				List[Any]				=       True
            snake_case      :				int				=       u

   return visited[t]




def 						SCREAMING_SNAKE_CASE__					(    lowercase						,lowercase						,lowercase     )  ->   Union[str, Any]:
   snake_case      :				Optional[Any]				=       [-1] * (len(lowercase     ))
   snake_case      :				Union[str, Any]				=       0
   snake_case      :				str				=       []
   snake_case      :				Union[str, Any]				=       [i[:] for i in graph]  # Record original cut, copy.
   while bfs(lowercase						,lowercase						,lowercase						,lowercase     ):
      snake_case      :				List[str]				=       float("""Inf"""     )
      snake_case      :				int				=       sink

      while s != source:
         # Find the minimum value in select path
         snake_case      :				List[Any]				=       min(lowercase						,graph[parent[s]][s]     )
         snake_case      :				Any				=       parent[s]

      max_flow += path_flow
      snake_case      :				List[str]				=       sink

      while v != source:
         snake_case      :				Dict				=       parent[v]
         graph[u][v] -= path_flow
         graph[v][u] += path_flow
         snake_case      :				Optional[int]				=       parent[v]

   for i in range(len(lowercase     )     ):
      for j in range(len(graph[0]     )     ):
         if graph[i][j] == 0 and temp[i][j] > 0:
            res.append((i, j)     )

   return res


if __name__ == "__main__":
       print(mincut(test_graph, source=0, sink=5))












"""simple docstring"""





from __future__ import annotations


def 			UpperCAmelCase__							(  SCREAMING_SNAKE_CASE     :						str			):







      '''simple docstring'''




      return [ord(SCREAMING_SNAKE_CASE			) - 96 for elem in plain]


def 			UpperCAmelCase__							(  SCREAMING_SNAKE_CASE     :						list[int]			):







      '''simple docstring'''




      return "".join(chr(elem + 96			) for elem in encoded			)


def 			UpperCAmelCase__							(  ):







      '''simple docstring'''




      lowerCAmelCase  						=       encode(input("""-> """			).strip().lower()			)
      print("""Encoded: """							,						SCREAMING_SNAKE_CASE			)
      print("""Decoded:"""							,						decode(SCREAMING_SNAKE_CASE			)			)


if __name__ == "__main__":
       main()






