

'''simple docstring'''
def  a__       (    _SCREAMING_SNAKE_CASE   :       Dict	,				_SCREAMING_SNAKE_CASE   :       Optional[Any]	,				_SCREAMING_SNAKE_CASE   :       int	,				_SCREAMING_SNAKE_CASE   :       List[Any]				)     ->					Tuple:


	"""simple docstring"""





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

	while queue:
		UpperCAmelCase_     :      Tuple						=  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				)
				UpperCAmelCase_     :      int						=  True
				UpperCAmelCase_     :      Optional[Any]						=  u

	return visited[t]


def  a__       (    _SCREAMING_SNAKE_CASE   :       Dict	,				_SCREAMING_SNAKE_CASE   :       str	,				_SCREAMING_SNAKE_CASE   :       int				)     ->					Dict:


	"""simple docstring"""





	UpperCAmelCase_     :      str						=  [-1] * (len(_SCREAMING_SNAKE_CASE				))
	UpperCAmelCase_     :      Any						=  0
	while bfs(_SCREAMING_SNAKE_CASE	,				_SCREAMING_SNAKE_CASE	,				_SCREAMING_SNAKE_CASE	,				_SCREAMING_SNAKE_CASE				):
		UpperCAmelCase_     :      List[Any]						=  float("Inf"				)
		UpperCAmelCase_     :      List[Any]						=  sink

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

		max_flow += path_flow
		UpperCAmelCase_     :      Dict						=  sink

		while v != source:
			UpperCAmelCase_     :      Dict						=  parent[v]
			graph[u][v] -= path_flow
			graph[v][u] += path_flow
			UpperCAmelCase_     :      Optional[Any]						=  parent[v]
	return max_flow


_lowerCamelCase      					=     [
    [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      					=     0, 5





print(ford_fulkerson(graph, source, sink))





'''simple docstring'''






def  _SCREAMING_SNAKE_CASE		(      __snake_case							:			str   ,		__snake_case							:			str   ,		__snake_case							:			List[Any]=False				):

     if isinstance(__snake_case   ,		__snake_case				) and isinstance(__snake_case   ,		__snake_case				):
          _A    		=  len(set_a.intersection(__snake_case				)				)

          if alternative_union:
               _A    		=  len(__snake_case				) + len(__snake_case				)
          else:
               _A    		=  len(set_a.union(__snake_case				)				)

          return intersection / union

     if isinstance(__snake_case   ,		(list, tuple)				) and isinstance(__snake_case   ,		(list, tuple)				):
          _A    		=  [element for element in set_a if element in set_b]

          if alternative_union:
               _A    		=  len(__snake_case				) + len(__snake_case				)
               return len(__snake_case				) / union
          else:
               _A    		=  set_a + [element for element in set_b if element not in set_a]
               return len(__snake_case				) / len(__snake_case				)

          return len(__snake_case				) / len(__snake_case				)
     return None


if __name__ == "__main__":
   _UpperCAmelCase    :     Optional[Any]         =       {'''a''', '''b''', '''c''', '''d''', '''e'''}
   _UpperCAmelCase    :     str         =       {'''c''', '''d''', '''e''', '''f''', '''h''', '''i'''}
   print(jaccard_similarity(set_a, set_b))



