This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Be Name Khoda
#include<bits/stdc++.h>
#pragma GCC optimize ("Ofast,unroll-loops")
#pragma GCC target ("avx2")
using namespace std;
#define ll long long
#define ld long double
#define all(x) x.begin(), x.end()
#define pii pair<int, int>
#define piii pair<pii, int>
#define piiii pair<pii, pii>
#define piiiii pair<pii, piii>
#define pll pair<ll, ll>
#define plll pair<pll, ll>
const ll mxn = 1e5 + 16;
ll n, k, m, q, w;
ll dp[mxn][2], par[mxn][17], hch[mxn], chn[mxn], lbl[mxn], dis[mxn], subt[mxn];
vector<int> adj[mxn];
vector<plll> g[mxn];
bool mark[mxn];
plll p;
void DFS(int v) {
mark[v] = 1;
subt[v] = 1, dis[v] = w++;
for(auto u : adj[v]) {
if(!mark[u]) {
par[u][0] = v, DFS(u);
subt[v] += subt[u];
if(subt[hch[v]] < subt[u]) hch[v] = u;
}
}w--;
}
void SAGZAN(int v) {
lbl[v] = w++;
if(chn[v] == -1) chn[v] = v;
if(hch[v] != -1) {
chn[hch[v]] = chn[v];
SAGZAN(hch[v]);
}
for(auto u : adj[v]) {
if(u == par[v][0] || u == hch[v]) continue;
SAGZAN(u);
}
}
ll find_jad(int v, int u) {
if(dis[v] > dis[u]) {
swap(v, u);
}
for(int i = 16; i > -1; i--) {
if(dis[u] - (1 << i) < dis[v]) continue;
u = par[u][i];
}
if(u == v) return v;
for(int i = 16; i > -1; i--) {
if(par[v][i] == par[u][i]) continue;
v = par[v][i], u = par[u][i];
}
v = par[v][0];
return v;
}
struct segtree {
int s = 1;
vector<int> v;
void init(ll n) {
while(s < n) s <<= 1;
v.assign(2 * s, 0);
}
void add(int i, ll k, int x, int lx, int rx) {
if(rx - lx == 1) {
v[x] = k;
return;
}
int m = (lx + rx) >> 1;
if(i < m) add(i, k, 2 * x + 1, lx, m);
else add(i, k, 2 * x + 2, m, rx);
v[x] = v[2 * x + 1] + v[2 * x + 2];
}
void add(int i, ll k) {
add(i, k, 0, 0, s);
}
ll cal(int l, int r, int x, int lx, int rx) {
if(rx <= l || r <= lx) return 0;
if(l <= lx && rx <= r) return v[x];
int m = (lx + rx) >> 1;
ll ans1 = cal(l, r, 2 * x + 1, lx, m);
ll ans2 = cal(l, r, 2 * x + 2, m, rx);
return ans1 + ans2;
}
ll cal(int l, int r) {
return cal(l, r, 0, 0, s);
}
};
segtree st;
ll cal(int v, int u, int l) {
ll r = v, res = 0, t;
while(r > 1) {
t = chn[r];
if(dis[l] >= dis[t]) {
res = res + st.cal(lbl[r] - dis[r] + dis[l] + 1, lbl[r] + 1);
break;
}
res = res + st.cal(lbl[chn[r]], lbl[r] + 1);
r = par[chn[r]][0];
}r = u;
while(r > 1) {
t = chn[r];
if(dis[l] >= dis[t]) {
res = res + st.cal(lbl[r] - dis[r] + dis[l] + 1, lbl[r] + 1);
break;
}
res = res + st.cal(lbl[chn[r]], lbl[r] + 1);
r = par[chn[r]][0];
}
res += dp[l][1];
return res;
}
void SAGZAN_Solve(int v) {
for(auto u : adj[v]) {
if(u == par[v][0]) continue;
SAGZAN_Solve(u);
dp[v][1] += dp[u][0];
}
for(auto u : g[v]) {
dp[v][0] = max(dp[v][0], u.second + cal(u.first.first, u.first.second, v));
}
dp[v][0] = max(dp[v][1], dp[v][0]);
st.add(lbl[v], dp[v][1] - dp[v][0]);
}
void input() {
fill(hch, hch + mxn, -1), fill(chn, chn + mxn, -1);
cin >> n;
for(int i = 1; i < n; i++) {
int v, u;
cin >> v >> u;
adj[v].push_back(u), adj[u].push_back(v);
}DFS(1), SAGZAN(1);
for(int j = 1; j < 17; j++) {
for(int i = 1; i <= n; i++) {
par[i][j] = par[par[i][j - 1]][j - 1];
}
}
cin >> m;
for(int i = 0; i < m; i++) {
int v, u, c, w;
cin >> v >> u >> c;
w = find_jad(v, u);
g[w].push_back({{v, u}, c});
}
}
void solve() {
st.init(n);
SAGZAN_Solve(1);
cout << dp[1][0] << endl;
}
int main() {
ios::sync_with_stdio(false); cin.tie(NULL);
input(), solve();
return 0;
}
/*
20
17 10
11 4
8 3
3 16
1 14
15 18
5 4
6 18
10 18
19 4
16 7
2 13
4 12
12 20
9 20
18 13
20 14
14 7
13 7
15
19 9 2341
13 8 6974
8 3 3339
15 17 6515
10 13 4370
1 7 8376
18 2 9272
6 7 4595
1 20 505
10 9 308
6 19 8937
2 15 5072
5 4 4217
2 4 4170
19 12 8204
*/
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