diff --git a/include/algorithm/king.h b/include/algorithm/king.h
index 8681253..3ffd863 100644
--- a/include/algorithm/king.h
+++ b/include/algorithm/king.h
@@ -71,9 +71,13 @@ void King<T>::remove(const T& u, const T& v) {
 
 template<typename T>
 void King<T>::insert(const T& c, const std::vector<T>& vertices) {
-  for (const auto& v : vertices)
+  for (const auto& v : vertices) {
     this->G.insert(c, v);
-  init();
+  }
+  In[c] = Italiano<T>(BreadthFirstTree<T>(this->G.reverse(), c));
+  In[c].init();
+  Out[c] = Italiano<T>(BreadthFirstTree<T>(this->G, c));
+  Out[c].init();
 }
 
 } // namespace algo