#!/usr/bin/env python3 import sys def main(): sys.setrecursionlimit(10 ** 9) ans = 0 N = int(input()) costs = [[0] * N for _ in range(N)] class DFS(): def __init__(self, N: int) -> None: self.nodes = N # 頂点数 self.G = [[] for _ in range(N)] # グラフ self.seen = [False] * N # 各ノードが訪問済みかどうかのフラグ self.firstOrder = [] # ノードの行きがけ順(0-index) self.lastOrder = [] # ノードの帰りがけ順(0-index) # 辺の追加 def addEdge(self, fromNode: int, toNode: int, bothDirection: bool): self.G[fromNode].append(toNode) if bothDirection: self.G[toNode].append(fromNode) # DFS def build(self, now: int, pre:int): sum = 0 nonlocal ans # ----- ノードに到着した時の処理 self.firstOrder.append(now) self.seen[now] = True # ----- 隣接する各ノードへの移動処理 for next in self.G[now]: if self.seen[next]: continue sum += self.build(next, now) # ----- ノードから戻る時の処理 # self.lastOrder.append(now) sum += 1 ans += sum * (self.nodes - sum) * costs[pre][now] return sum d = DFS(N) for _ in range(N - 1): u, v, w = map(int, input().split()) costs[u - 1][v - 1] = w costs[v - 1][u - 1] = w d.addEdge(u - 1, v - 1, bothDirection=True) d.build(0, -1) print(ans * 2) if __name__ == '__main__': main()