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 pb push_back
#define db(val) "[" #val " = " << (val) << "] "
const int maxn = 1e5 + 4;
const int N = 16;
struct Query {
int u, v, w;
Query(int u = 0, int v = 0, int w = 0): u(u), v(v), w(w) {}
} q[maxn];
int n, m, h[maxn], tin[maxn], tout[maxn], up[maxn][20], dp[maxn], sum[maxn];
vector<int> adj[maxn], cross[maxn], down[maxn];
void dfs1(int u, int p) {
tin[u] = ++tin[0];
for (int j = 1; j <= N; j++)
up[u][j] = up[up[u][j - 1]][j - 1];
for (int v : adj[u])
if (v != p) {
h[v] = h[u] + 1;
up[v][0] = u;
dfs1(v, u);
}
tout[u] = tin[0];
}
bool isPar(int u, int p) {
return tin[p] <= tin[u] && tout[p] >= tout[u];
}
int jump(int u, int v) {
for (int j = N; j >= 0; j--)
if (up[u][j] && !isPar(v, up[u][j]))
u = up[u][j];
return u;
}
void dfs2(int u, int p) {
for (int v : adj[u]) if (v != p) {
dfs2(v, u);
sum[u] += dp[v];
}
dp[u] = sum[u];
for (int i : cross[u]) {
int a = q[i].u, b = q[i].v, w = q[i].w;
dp[u] = max(dp[u], sum[u] - dp[jump(a, u)] - dp[jump(b, u)] + sum[a] + sum[b] + w);
}
for (int i : down[u]) {
int v = q[i].v, w = q[i].w;
dp[u] = max(dp[u], sum[u] - dp[jump(v, u)] + sum[v] + w);
}
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n;
for (int i = 1, u, v; i < n; i++) {
cin >> u >> v;
adj[u].pb(v);
adj[v].pb(u);
}
dfs1(1, 0);
cin >> m;
for (int i = 1, u, v, w; i <= m; i++) {
cin >> u >> v >> w;
if (h[u] > h[v]) swap(u, v);
if (isPar(v, u))
down[u].pb(i);
else
cross[up[jump(u, v)][0]].pb(i);
q[i] = Query(u, v, w);
}
dfs2(1, 0);
cout << dp[1];
}
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