
'''simple docstring'''





a__		: Union[str, Any]  							=							float("inf")


class 			UpperCamelCase__	:






 def __init__(      self	:Optional[Any]						,					_A	:Any      )					->      Optional[int]:







       '''simple docstring'''



       __A													=      [0] * n
       __A													=      [0] * n
       __A													=      [0] * n
       __A													=      [[] for _ in range(_A      )]






 def 						lowercase_    (      self	:Optional[int]						,					_A	:Dict						,					_A	:Any						,					_A	:Any						,					_A	:str=0      )					->      Dict:







       '''simple docstring'''



       self.adj[a].append([b, len(self.adj[b]      ), c, 0]      )
       self.adj[b].append([a, len(self.adj[a]      ) - 1, rcap, 0]      )






 def 						lowercase_    (      self	:str						,					_A	:Union[str, Any]						,					_A	:Optional[Any]						,					_A	:Any      )					->      Optional[int]:







       '''simple docstring'''



       if vertex == sink or not flow:
             return flow

       for i in range(self.ptr[vertex]						,					len(self.adj[vertex]      )      ):
             __A													=      self.adj[vertex][i]
             if self.lvl[e[0]] == self.lvl[vertex] + 1:
                   __A													=      self.depth_first_search(e[0]						,					_A						,					min(_A						,					e[2] - e[3]      )      )
                   if p:
                         self.adj[vertex][i][3] += p
                         self.adj[e[0]][e[1]][3] -= p
                         return p
             __A													=      self.ptr[vertex] + 1
       return 0






 def 						lowercase_    (      self	:Dict						,					_A	:Optional[int]						,					_A	:str      )					->      str:







       '''simple docstring'''



       __A						,   __A													=      0, source
       for l in range(31      ):  # noqa: E741  l = 30 maybe faster for random data
             while True:
                   __A						,   __A													=      [0] * len(self.q      ), [0] * len(self.q      )
                   __A						,   __A						,   __A													=      0, 1, 1
                   while qi < qe and not self.lvl[sink]:
                         __A													=      self.q[qi]
                         qi += 1
                         for e in self.adj[v]:
                               if not self.lvl[e[0]] and (e[2] - e[3]) >> (30 - l):
                                     __A													=      e[0]
                                     qe += 1
                                     __A													=      self.lvl[v] + 1

                   __A													=      self.depth_first_search(_A						,					_A						,					_A      )
                   while p:
                         flow += p
                         __A													=      self.depth_first_search(_A						,					_A						,					_A      )

                   if not self.lvl[sink]:
                         break

       return flow
a__		: List[str]  							=							Dinic(1_0)
a__		: Optional[Any]  							=							0
a__		: Any  							=							9
for vertex in range(1, 5):
 graph.add_edge(source, vertex, 1)
for vertex in range(5, 9):
 graph.add_edge(vertex, sink, 1)
for vertex in range(1, 5):
 graph.add_edge(vertex, vertex + 4, 1)

# Now we can know that is the maximum flow(source -> sink)
print(graph.max_flow(source, sink))








'''simple docstring'''





class 			UpperCamelCase__	:






 def __init__(      self	:Tuple						,					_A	:int      )					->      None:







       '''simple docstring'''



       __A													=      data
       __A													=      None
       __A													=      None





def 							snake_case				(		UpperCAmelCase   ,	UpperCAmelCase						)->      BinaryTreeNode | None:







      """simple docstring"""
      if node is None:
            __A													=      BinaryTreeNode(UpperCAmelCase						)
            return node

      # binary search tree is not empty,
      # so we will insert it into the tree
      # if new_value is less than value of data in node,
      #  add it to left subtree and proceed recursively
      if new_value < node.data:
            __A													=      insert(node.left_child   ,	UpperCAmelCase						)
      else:
            # if new_value is greater than value of data in node,
            #  add it to right subtree and proceed recursively
            __A													=      insert(node.right_child   ,	UpperCAmelCase						)
      return node





def 							snake_case				(		UpperCAmelCase						)->      list[int]:  # if node is None,return







      """simple docstring"""
      if node:
            __A													=      inorder(node.left_child						)
            __A													=      [*inorder_array, node.data]
            __A													=      inorder_array + inorder(node.right_child						)
      else:
            __A													=      []
      return inorder_array





def 							snake_case				(		)->      BinaryTreeNode | None:







      """simple docstring"""
      __A													=      insert(UpperCAmelCase   ,	1_5						)
      insert(UpperCAmelCase   ,	1_0						)
      insert(UpperCAmelCase   ,	2_5						)
      insert(UpperCAmelCase   ,	6						)
      insert(UpperCAmelCase   ,	1_4						)
      insert(UpperCAmelCase   ,	2_0						)
      insert(UpperCAmelCase   ,	6_0						)
      return root





def 							snake_case				(		)->      None:







      """simple docstring"""
      # main function
      __A													=      make_tree()
      print('Printing values of binary search tree in Inorder Traversal.'						)
      inorder(UpperCAmelCase						)


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 main()






