class Tree(): def __init__(self, n, edge): self.n = n self.tree = [[] for _ in range(n)] for e in edge: self.tree[e[0] - 1].append((e[1] - 1, e[2])) self.tree[e[1] - 1].append((e[0] - 1, e[2])) def setroot(self, root): self.root = root self.parent = [None for _ in range(self.n)] self.parent[root] = -1 self.depth = [None for _ in range(self.n)] self.depth[root] = 0 self.distance = [None for _ in range(self.n)] self.distance[root] = 0 self.order = [] self.order.append(root) self.cost = [0 for _ in range(self.n)] self.size = [1 for _ in range(self.n)] stack = [root] while stack: node = stack.pop() for adj, cost in self.tree[node]: if self.parent[adj] is None: self.parent[adj] = node self.depth[adj] = self.depth[node] + 1 self.distance[adj] = self.distance[node] + cost self.cost[adj] = cost self.order.append(adj) stack.append(adj) for node in self.order[::-1]: for adj, cost in self.tree[node]: if self.parent[node] == adj: continue self.size[node] += self.size[adj] import sys input = sys.stdin.readline N = int(input()) E = [tuple(map(int, input().split())) for _ in range(N - 1)] tree = Tree(N, E) tree.setroot(0) res = 0 for node in range(N): if node == 0: continue res += tree.cost[node] * tree.size[node] * (N - tree.size[node]) * 2 print(res)