/* hdu6060[贪心+dfs] 2017多校3*/ #include <bits/stdc++.h> using namespace std; typedef long long LL; int n, k, u, v, c; struct Edge { LL cost; int to; Edge(int C = 0, int T = 0): cost(C), to(T) {} }; vector<Edge> G[1000005]; int son[1000005]; LL ans = 0; void dfs(int u, int fa) { son[u]++; for (int i = 0; i < (int)G[u].size(); i++) { Edge e = G[u][i]; if (e.to == fa) continue; dfs(e.to, u); son[u] += son[e.to]; ans += min(son[e.to], k) * e.cost; } } void init() { ans = 0; for (int i = 1; i <= n; i++) { G[i].clear(); } memset(son, 0, sizeof(son)); } void solve() { dfs(1, -1); printf("%lld ", ans); } int main() { while (~scanf("%d%d", &n, &k)) { init(); for (int i = 0; i < n - 1; i++) { scanf("%d%d%lld", &u, &v, &c); G[u].push_back(Edge(c, v)); G[v].push_back(Edge(c, u)); } solve(); } return 0; }