#include "bits/stdc++.h"
using namespace std;
#define task ""
#define ll long long
#define endl '\n'
#define fi first
#define se second
#define vall(a) (a).begin(), (a).end()
#define sze(a) (int)a.size()
#define pii pair<int, int>
#define pll pair<ll, ll>
#define ep emplace_back
#define pb push_back
#define pf push_front
const ll mod = 1e9 + 7;
const int N = 2e5 + 5;
const ll oo = 1e18;
bool START;
int n, sz[N], k;
vector<pii> adj[N];
bool del[N];
int get_sz(int u, int p = 0) {
sz[u] = 1;
for (auto[v, w] : adj[u]) {
if (v == p || del[v]) continue;
sz[u] += get_sz(v, u);
}
return sz[u];
}
int get_cen(int sigma, int u, int p = 0) {
for (auto[v, w] : adj[u]) {
if (v == p || del[v]) continue;
if (sz[v] > (sigma >> 1)) return get_cen(sigma, v, u);
}
return u;
}
vector<pii> arr[N], all;
void add(int u, int p, int depth, int Max, int cur) {
arr[cur].pb(make_pair(Max, depth));
all.pb(make_pair(Max, depth));
for (auto[v, w] : adj[u]) {
if (v == p || del[v]) continue;
add(v, u, depth + 1, max(Max, w), cur);
}
}
struct BIT {
int bit[N];
void add(int idx, int delta) {
for (; idx <= n; idx += idx & -idx) bit[idx] += delta;
return;
}
int get(int idx) {
int res = 0;
for (; idx > 0; idx -= idx & -idx) res += bit[idx];
return res;
}
int get(int l, int r) {
return get(r) - get(l - 1);
}
} bit;
ll ans = 0;
void centroid(int u = 1) {
u = get_cen(get_sz(u), u);
del[u] = true;
for (auto [v, w] : adj[u]) {
if (del[v]) continue;
add(v, u, 1, w, v);
sort(vall(arr[v]), greater<pii>());
}
for (auto[v, w] : adj[u]) {
if (del[v]) continue;
for (auto[Max, depth] : arr[v]) {
ans -= 1ll * bit.get(depth, n);
if ((Max - depth - k) > 0 && (Max - depth - k) <= n) bit.add((Max - depth - k), 1);
}
for (auto[Max, depth] : arr[v]) if ((Max - depth - k) > 0 && (Max - depth - k) <= n) bit.add((Max - depth - k), -1);
arr[v].clear();
}
sort(vall(all), greater<pii>());
for (auto[Max, depth] : all) {
ans += 1ll * bit.get(depth, n);
if (Max - depth >= k) ++ans;
if ((Max - depth - k) > 0 && (Max - depth - k) <= n) bit.add((Max - depth - k), 1);
}
for (auto[Max, depth] : all) if ((Max - depth - k) > 0 && (Max - depth - k) <= n) bit.add((Max - depth - k), -1);
all.clear();
for (auto [v, w] : adj[u]) {
if (del[v]) continue;
centroid(v);
}
}
inline void solve() {
centroid();
cout << (ans << 1ll);
}
inline void input() {
cin >> n >> k;
for (int i = 1; i < n; ++i) {
int u, v, c;
cin >> u >> v >> c;
adj[u].pb(make_pair(v, c));
adj[v].pb(make_pair(u, c));
}
return solve();
}
bool END;
int main() {
if(fopen(task ".inp", "r")) {
freopen(task ".inp", "r", stdin);
freopen(task ".out", "w", stdout);
}
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
input();
cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << 's' << endl;
cerr << "Memory: " << fabs ((&END - &START)) / 1048576.0 << "MB\n";
return 0;
}
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:131:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
131 | freopen(task ".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:132:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
132 | freopen(task ".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
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