This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// IOI 2021
#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define ends ' '
#define endt '\t'
#define die(x) return cout << x << endl, 0
#define all(v) v.begin(), v.end()
#define sz(x) (int)(x.size())
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) { cerr << ends << H; debug_out(T...); }
#define debug(...) cerr << "{" << #__VA_ARGS__ << "}:", debug_out(__VA_ARGS__)
typedef long long ll;
typedef pair<int, int> pii;
const int INF = 1e9;
const ll MOD = 1e9 + 7;
////////////////////////////////////////////////////////////////////
const int N = 1e5 + 5, LOG = 17;
int S[N], F[N], H[N], P[LOG][N], ts;
int DP[N][3], FEN[N];
vector<int> G[N];
int A[N], B[N], C[N];
vector<int> Q[N];
void Add(int p, int x) { for (p++; p < N; p += p & -p) FEN[p] += x; }
int Get(int p) {
int res = 0;
for (p++; p > 0; p -= p & -p) res += FEN[p];
return res;
}
void DFSH(int v, int p = 0) {
S[v] = ts++, P[0][v] = p;
for (int i = 1; i < LOG; i++) P[i][v] = P[i - 1][P[i - 1][v]];
for (int u : G[v]) if (u != p) H[u] = H[v] + 1, DFSH(u, v);
F[v] = ts;
}
int GetPar(int v, int h) {
for (int i = 0; i < LOG; i++) if ((h >> i) & 1) v = P[i][v];
return v;
}
int GetLCA(int v, int u) {
if (H[v] < H[u]) swap(v, u);
v = GetPar(v, H[v] - H[u]);
if (v == u) return v;
for (int i = LOG - 1; i >= 0; i--) if (P[i][v] != P[i][u])
v = P[i][v], u = P[i][u];
return P[0][v];
}
void DFS(int v, int p = 0) {
for (int u : G[v]) if (u != p) {
DFS(u, v);
DP[v][0] += DP[u][2];
}
for (int u : G[v]) if (u != p) {
Add(S[u], DP[v][0] - DP[u][2]);
Add(F[u], DP[u][2] - DP[v][0]);
}
for (int q : Q[v]) {
int a = A[q], b = B[q], c = C[q];
DP[v][1] = max(DP[v][1], c + Get(S[a]) + Get(S[b]) + DP[a][0] + DP[b][0] - DP[v][0]);
}
DP[v][2] = max(DP[v][0], DP[v][1]);
}
int main() {
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
mt19937 Rnd(time(0));
int n; cin >> n;
for (int i = 1; i < n; i++) {
int v, u; cin >> v >> u;
G[v].push_back(u);
G[u].push_back(v);
}
DFSH(1);
int m; cin >> m;
for (int i = 0; i < m; i++) {
cin >> A[i] >> B[i] >> C[i];
Q[GetLCA(A[i], B[i])].push_back(i);
}
DFS(1);
cout << DP[1][2] << endl;
return 0;
}
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