This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define task "HOTPOT"
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
const int MAX = 100010;
int sz[MAX];
int nNode, k;
int bit[MAX];
bool rem[MAX];
long long res = 0;
vector<pair<int, int>> adj[MAX];
void update(int id, int delta) {
    for (++id; id < MAX; id += id & -id)
        bit[id] += delta;
}
int get(int id) {
    int res = 0;
    id = min(id, MAX - 1);
    for (++id; id > 0; id -= id & -id)
        res += bit[id];
    return  res;
}
int dfsSZ(int u, int p) {
    sz[u] = 1;
    for (auto [v, w]: adj[u]) if (v != p && !rem[v]) {
        sz[u] += dfsSZ(v, u);
    }
    return sz[u];
}
int findCentroid(int u, int p, int n) {
    for (auto [v, w]: adj[u]) if (v != p && !rem[v]) {
        if ((sz[v] << 1) > n)
            return findCentroid(v, u, n);
    }
    return u;
}
vector<pair<int, int>> nodes;
void dfs(int u, int p, int mxx, int dep) {
    nodes.emplace_back(mxx, dep);
    for (auto [v, w]: adj[u]) if (v != p && !rem[v])
        dfs(v, u, max(mxx, w), dep + 1);
}
void solve(int u, int p) {
    int c = findCentroid(u, p, dfsSZ(u, p)); rem[c] = true;
    nodes.clear();
    dfs(c, p, 0, 0);
    sort(all(nodes));
    for (auto [mxx, dep]: nodes) {
        int maxL = mxx - k - dep;
        res += get(maxL);
        update(dep, +1);
    }
    for (auto [mxx, dep]: nodes) {
        update(dep, -1);
    }
    for (auto [v, w]: adj[c]) if (v != p && !rem[v]) {
        nodes.clear();
        dfs(v, p, w, 1);
        sort(all(nodes));
        for (auto [mxx, dep]: nodes) {
            int maxL = mxx - k - dep;
            res -= get(maxL);
            update(dep, +1);
        }
        for (auto [mxx, dep]: nodes) {
            update(dep, -1);
        }
    }
    for (auto [v, w]: adj[c]) if (v != p && !rem[v]) {
        solve(v, c);
    }
}
int main() {
	ios_base::sync_with_stdio(false); cin.tie(nullptr);
	if (fopen(task".inp", "r")) {
		freopen(task".inp", "r",  stdin);
		freopen(task".out", "w", stdout);
	}
    cin >> nNode >> k;
    for (int i = 1; i < nNode; ++i) {
        int u, v, w; cin >> u >> v >> w;
        adj[u].emplace_back(v, w);
        adj[v].emplace_back(u, w);
    }
    solve(1, -1);
    cout << res * 2;
	return 0;
}
Compilation message (stderr)
Main.cpp: In function 'int dfsSZ(int, int)':
Main.cpp:32:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   32 |     for (auto [v, w]: adj[u]) if (v != p && !rem[v]) {
      |               ^
Main.cpp: In function 'int findCentroid(int, int, int)':
Main.cpp:39:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   39 |     for (auto [v, w]: adj[u]) if (v != p && !rem[v]) {
      |               ^
Main.cpp: In function 'void dfs(int, int, int, int)':
Main.cpp:50:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   50 |     for (auto [v, w]: adj[u]) if (v != p && !rem[v])
      |               ^
Main.cpp: In function 'void solve(int, int)':
Main.cpp:60:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   60 |     for (auto [mxx, dep]: nodes) {
      |               ^
Main.cpp:65:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   65 |     for (auto [mxx, dep]: nodes) {
      |               ^
Main.cpp:69:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   69 |     for (auto [v, w]: adj[c]) if (v != p && !rem[v]) {
      |               ^
Main.cpp:73:19: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   73 |         for (auto [mxx, dep]: nodes) {
      |                   ^
Main.cpp:78:19: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   78 |         for (auto [mxx, dep]: nodes) {
      |                   ^
Main.cpp:83:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   83 |     for (auto [v, w]: adj[c]) if (v != p && !rem[v]) {
      |               ^
Main.cpp: In function 'int main()':
Main.cpp:92:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   92 |   freopen(task".inp", "r",  stdin);
      |   ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:93:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   93 |   freopen(task".out", "w", stdout);
      |   ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~| # | Verdict  | Execution time | Memory | Grader output | 
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