//Retorna la descomposicion en key-path del grafo pasado por parametro
Collection* KeyPathLocalSearch::KeyPathDecomp(Graph *g){
	
		Graph *grafo = g->Copy();
		Collection *K = new Collection();
		//nodos que pueden ser extremos de los key-path, son terminales o key-nodes
		Collection * terminals =  g->GetTerminals();
		Collection * key_nodes = g->GetKeyNodes(true);
		Collection * end_nodes = terminals->Union(key_nodes);
		
		int node, currentNode, lastIdentifier, degree;
		bool isTerminal, isKeyNode;
		
		//para cada posible nodo extremo de key-path
		for (int i=0; i<end_nodes->Size(); i++){
			node = ((Integer*)end_nodes->GetItem(i))->GetValue();
			Collection * end_node_adyacents = grafo->GetAdyacents(node);
			//para cada adyacente al nodo extremo
			for (int j = 0; j < end_node_adyacents->Size(); j++){
				lastIdentifier = node;
				//creo el camino
				Path * aux = new Path(g);
				//agrego el extremo
				aux->Add(node);
				//calculo el nodo siguiente del camino
				currentNode = ((Integer*)end_node_adyacents->GetItem(j))->GetValue();
				degree = grafo->GetNodeDegree(currentNode);
				if (grafo->IsNodeEnabled(currentNode) && degree != 0){
					do
					{
						//agrego nodo al camino
						aux->Add(currentNode);
						Collection * adyacents = grafo->GetAdyacents(currentNode);
						//calculo si es terminal y si es key-node
						isTerminal = g->IsTerminal(currentNode);
						isKeyNode = g->IsKeyNode(currentNode);
						//si es nodo intermedio actualizo el currentNode
						if(! isTerminal && ! isKeyNode){
							if(((Integer*)adyacents->GetItem(0))->GetValue() == lastIdentifier){
								lastIdentifier = currentNode;
								currentNode = ((Integer*)adyacents->GetItem(1))->GetValue();
							}
							else{
								lastIdentifier = currentNode;
								currentNode = ((Integer*)adyacents->GetItem(0))->GetValue();
							}
						}
						adyacents->Destroy();
					}while(! isTerminal && ! isKeyNode); //mientras este en nodos intermedios
					K->Add((Object*)aux);
					//apago aristas y nodos del path, dejo prendidos los extremos
					if (aux->Length() > 2)
					{
						for (int ind=1; ind<aux->Length()-1; ind++){
							Collection *adyacents = grafo->GetAdyacents(aux->GetNode(ind));
							//apago aristas si es que existen
							for (int iter=0; iter<adyacents->Size();iter++){
								if (grafo->ExistEdge(aux->GetNode(ind),((Integer*)adyacents->GetItem(iter))->GetValue()))
									grafo->DisableEdge(aux->GetNode(ind),((Integer*)adyacents->GetItem(iter))->GetValue());
							}
							grafo->DisableNode(aux->GetNode(ind));	
							adyacents->Destroy();
						}
					}
					else //key-path de dos nodos
					{
						grafo->DisableEdge(aux->GetNode(0),aux->GetNode(1));
					}
				}
				else{
					delete aux;
				}
			}
			end_node_adyacents->Destroy();
		}
		terminals->Destroy();
		key_nodes->Destroy();
		delete end_nodes;
		delete grafo;
		return K;
}