import java.io.InputStream; import java.io.PrintWriter; import java.lang.reflect.Array; import java.util.ArrayList; import java.util.Arrays; import java.util.HashMap; import java.util.HashSet; import java.util.List; import java.util.Map; import java.util.PriorityQueue; import java.util.Scanner; import java.util.Set; import java.util.Stack; import java.util.TreeSet; import static java.util.Comparator.*; public class Main { public static void main(String[] args) { PrintWriter out = new PrintWriter(System.out); Solver solver = new Solver(System.in, out); solver.solve(); out.close(); } } class Solver { Scanner sc; PrintWriter out; public Solver(InputStream in, PrintWriter out) { sc = new Scanner(in); this.out = out; } // ================================================================== GraphWith G = new GraphWith(); long total = 0; int N; int dfs(int now, int pre) { int ans = 1, cnt; for(PP p : G.get(now)) { if(p.key == pre) continue; cnt= dfs(p.key, now); total += (long)p.val * ((long)cnt * (N - cnt)) * 2; // out.println("total = " + total + " <-- val[" + p.val + "] * (" // + cnt + " * (" + N + " - " + cnt + ")) * 2 を足した結果"); ans += cnt; } // out.println("now = " + now + " pre = " + pre + " --> ans = " + ans); return ans; } public void solve() { N = Integer.parseInt(sc.next()); int u, v, w; for (int i = 0; i < N - 1; i++) { u = Integer.parseInt(sc.next()) - 1; v = Integer.parseInt(sc.next()) - 1; w = Integer.parseInt(sc.next()); G.add(u, new PP(v,w)); G.add(v, new PP(u,w)); } dfs(0, -1); out.println(total); } // 重さを持ったグラフのリンクリスト class GraphWith { // キーに紐づくリストに、頂点番号と重さのペアを持つ private Map> data = new HashMap>(); // 指定された頂点に紐づく、頂点と重さのペアを追加する void add(int key, PP p) { List list = data.get(key); if(list == null) { list = new ArrayList(); data.put(key, list); } list.add(p); } // 頂点に紐づく、頂点と重さのペアのリストを返す List get(int key) { return data.get(key); } // 頂点 key が登録されているか? boolean contains(int key) { return data.containsKey(key); } // 頂点のセットを返す Set keySet() { return data.keySet(); } // 頂点 key_1 と 頂点 key_2 がつながっていれば true を返す boolean isConnect(int key_1, int key_2) { List list = data.get(key_1); if(list == null) return false; boolean ans = false; for(PP p : list) { if(p.getKey() == key_2) { ans = true; break; } } return ans; } } class PP{ public int key, val; public PP(int key, int val) { this.key = key; this.val = val; } public int getKey() { return key; } public void setKey(int key) { this.key = key; } public int getVal() { return val; } public void setVal(int val) { this.val = val; } } }