1 files changed, 22 insertions, 0 deletions
diff --git a/content/graph/virtualTree.cpp b/content/graph/virtualTree.cpp
new file mode 100644
index 0000000..27d2d6c
--- /dev/null
+++ b/content/graph/virtualTree.cpp
@@ -0,0 +1,22 @@
+// needs dfs in- and out- time and lca function
+vector<int> in, out;
+
+void virtualTree(vector<int> ind) { // indices of used nodes
+	sort(all(ind), [&](int x, int y) {return in[x] < in[y];});
+	for (int i = 0, n = sz(ind); i < n - 1; i++) {
+		ind.push_back(lca(ind[i], ind[i + 1]));
+	}
+	sort(all(ind), [&](int x, int y) {return in[x] < in[y];});
+	ind.erase(unique(all(ind)), ind.end());
+
+	int n = ind.size();
+	vector<vector<int>> tree(n);
+	vector<int> st = {0};
+	for (int i = 1; i < n; i++) {
+		while (in[ind[i]] >= out[ind[st.back()]]) st.pop_back();
+		tree[st.back()].push_back(i);
+		st.push_back(i);
+	}
+	// virtual directed tree with n nodes, original indices in ind
+	// weights can be calculated, e.g. with binary lifting
+}