#include <iostream>
#include <string>
#include <algorithm>
#include <utility>
#include <cmath>
#include <cstdlib>
#include <map>
#include <set>
#include <queue>
#include <vector>
using namespace std;
#define PAIR pair<long long, long long>
#define m_p make_pair
using Graph = vector<vector<PAIR>>;

long long N, K;

vector<int> depth;
vector<int> subtree_size;
vector<long long> dp;
long long sum = 0;
void dfs(const Graph& G, int v, int p, int d) {
    depth[v] = d;
    int count = 0;
    for (auto nv : G[v]) {
        if (nv.first == p) continue;
        count++;
        dfs(G, nv.first, v, d + 1);
    }

    subtree_size[v] = 1;
    if (count > 0) subtree_size[v] = 0;
    for (auto c : G[v]) {
        if (c.first == p) continue;
        subtree_size[v] += subtree_size[c.first];
    }
    vector<long long> dp_(K + 1, 0);
    for (auto c : G[v]) {
        if (c.first == p) {
            long long a = c.second;
            for (int i = 0; i <= K; i++) {
                if (i + a < K + 1) dp_[i + a] = max(dp[i + a] + a * subtree_size[v], dp[i] + 2 * a * subtree_size[v]);
                else dp_[(i + a) % (K + 1)] = dp[(i + a) % (K + 1)] + a * subtree_size[v];
            }
        }
    }
    if (v != 0) for (int i = 0; i <= K; i++) dp[i] = dp_[i];
}

int main() {
    cin >> N >> K;

    Graph G(N);
    for (int i = 0; i < N - 1; i++) {
        long long a, b, c;
        cin >> a >> b >> c;
        G[a - 1].push_back(m_p(b - 1, c));
        G[b - 1].push_back(m_p(a - 1, c));
    }

    depth.assign(N, 0);
    subtree_size.assign(N, 0);
    dp.assign(K + 1, 0);

    dfs(G, 0, -1, 0);
    long long max_ = 0;
    for (int i = 0; i < K + 1; i++) max_ = max(max_, dp[i]);
    cout << max_ << endl;
}