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>
#define ll long long
#define ld long double
#define sp ' '
#define en '\n'
#define smin(a, b) a = min(a, b)
#define smax(a, b) a = max(a, b)
using namespace std;
const int N = 1e5 + 2;
const int inf = 2e9;
vector<int> g[N];
int par[N][17], in[N], out[N], tsz;
void Dfs(int s, int e) {
in[s] = ++tsz;
par[s][0] = e;
for (int i = 1; i < 17; i++) par[s][i] = par[par[s][i - 1]][i - 1];
for (int u : g[s]) {
if (u != e) Dfs(u, s);
}
out[s] = ++tsz;
}
bool Ancestor(int u, int v) {
return in[u] <= in[v] && out[v] <= out[u];
}
int Lca(int u, int v) {
if (Ancestor(u, v)) return u;
if (Ancestor(v, u)) return v;
for (int i = 16; i >= 0; i--) {
if (par[u][i] && !Ancestor(par[u][i], v)) u = par[u][i];
}
return par[u][0];
}
ll dp[N], sum[N];
vector<array<int, 3>> paths[N];
struct fenwick {
ll bit[2 * N];
void Add(int x, ll v) {
for (; x < 2 * N; x += x & (-x)) bit[x] += v;
}
ll P(int x) {
ll ans = 0;
for (; x > 0; x -= x & (-x)) ans += bit[x];
return ans;
}
ll Get(int l, int r) {
if (l > r) return 0;
return P(r) - P(l - 1);
}
}f1, f2;
void Dfs1(int s, int e) {
for (int u : g[s]) {
if (u == e) continue;
Dfs1(u, s);
sum[s] += dp[u];
}
dp[s] = sum[s];
f1.Add(in[s], sum[s]); f1.Add(out[s], -sum[s]);
for (auto u : paths[s]) {
int a = u[0]; int b = u[1]; int c = u[2];
smax(dp[s], f1.Get(in[s], in[a]) + f1.Get(in[s] + 1, in[b]) - f2.Get(in[s] + 1, in[a]) - f2.Get(in[s] + 1, in[b]) + c);
}
f2.Add(in[s], dp[s]); f2.Add(out[s], -dp[s]);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n; cin >> n;
for (int i = 0; i < n - 1; i++) {
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
Dfs(1, 0);
int m; cin >> m;
for (int i = 0; i < m; i++) {
int a, b, c;
cin >> a >> b >> c;
paths[Lca(a, b)].push_back({a, b, c});
}
Dfs1(1, 0);
cout << dp[1] << en;
return 0;
}
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