





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],
]






def lowerCamelCase__   (							snake_case_     :  Dict	,				snake_case_     :  List[Any]	,				snake_case_     :  List[Any]	,				snake_case_     :  Any	)				->    Tuple:
   # Return True if there is node that has not iterated.
   __snake_case								=       [False] * len(snake_case_	)
   __snake_case								=       [s]
   __snake_case								=       True

   while queue:
      __snake_case								=       queue.pop(0	)
      for ind in range(len(graph[u]	)	):
         if visited[ind] is False and graph[u][ind] > 0:
            queue.append(snake_case_	)
            __snake_case								=       True
            __snake_case								=       u

   return visited[t]






def lowerCamelCase__   (							snake_case_     :  List[str]	,				snake_case_     :  int	,				snake_case_     :  Dict	)				->    Any:
   __snake_case								=       [-1] * (len(snake_case_	))
   __snake_case								=       0
   __snake_case								=       []
   __snake_case								=       [i[:] for i in graph]  # Record original cut, copy.
   while bfs(snake_case_	,				snake_case_	,				snake_case_	,				snake_case_	):
      __snake_case								=       float('''Inf'''	)
      __snake_case								=       sink

      while s != source:
         # Find the minimum value in select path
         __snake_case								=       min(snake_case_	,				graph[parent[s]][s]	)
         __snake_case								=       parent[s]

      max_flow += path_flow
      __snake_case								=       sink

      while v != source:
         __snake_case								=       parent[v]
         graph[u][v] -= path_flow
         graph[v][u] += path_flow
         __snake_case								=       parent[v]

   for i in range(len(snake_case_	)	):
      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))








# Algorithm for the pigeonhole sorting








def lowerCamelCase__   (							snake_case_     :  int	)				->    Optional[int]:
   __snake_case								=       min(snake_case_	)  # min() finds the minimum value
   __snake_case								=       max(snake_case_	)  # max() finds the maximum value

   __snake_case								=       max_val - min_val + 1  # size is difference of max and min values plus one

   # list of pigeonholes of size equal to the variable size
   __snake_case								=       [0] * size

   # Populate the pigeonholes.
   for x in a:
      assert isinstance(snake_case_	,				snake_case_	), "integers only please"
      holes[x - min_val] += 1

   # Putting the elements back into the array in an order.
   __snake_case								=       0
   for count in range(snake_case_	):
      while holes[count] > 0:
         holes[count] -= 1
         __snake_case								=       count + min_val
         i += 1






def lowerCamelCase__   (							)				->    Union[str, Any]:
   __snake_case								=       [8, 3, 2, 7, 4, 6, 8]
   pigeonhole_sort(snake_case_	)
   print('''Sorted order is:'''	,				''' '''.join(snake_case_	)	)


if __name__ == "__main__":
    main()

