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 all(x) x.begin(), x.end()
#define ar array
#define pb push_back
#define ln '\n'
#define int long long
using i64 = long long;
template <class F, class _S>
bool chmin(F &u, const _S &v){
bool flag = false;
if ( u > v ){
u = v; flag |= true;
}
return flag;
}
template <class F, class _S>
bool chmax(F &u, const _S &v){
bool flag = false;
if ( u < v ){
u = v; flag |= true;
}
return flag;
}
const int N = 1e5 + 1;
struct Fenw{
vector <int> fenw;
int n;
Fenw(int n = 0) : fenw(n + 1, 0), n(n) {}
void upd(int i, int val){
for (; i <= n; i += i & -i ){
fenw[i] += val;
}
}
int get(int i){
int cnt = 0;
for (; i > 0; i -= i & -i ){
cnt += fenw[i];
}
return cnt;
}
int get(int l, int r){
return get(r) - get(l - 1);
}
} Sub, Dp;
vector <int> G[N];
int up[N][21], d[N], h[N], sub[N];
void dfs(int u, int p){
up[u][0] = p;
for ( int i = 1; i <= 20; i++ ){
up[u][i] = up[up[u][i - 1]][i - 1];
}
sub[u] = 1;
for ( auto &v: G[u] ){
if ( v != p ){
d[v] = d[u] + 1;
dfs(v, u);
sub[u] += sub[v];
}
}
for ( auto &v: G[u] ){
if ( v != p ){
if ( h[u] == -1 or sub[h[u]] < sub[v] ){
h[u] = v;
}
}
}
}
int lca(int u, int v){
if ( d[u] < d[v] ) swap(u, v);
int dif = d[u] - d[v];
for ( int i = 0; i <= 20; i++ ){
if ( dif >> i & 1 ){
u = up[u][i];
}
}
if ( u == v ){
return u;
}
for ( int i = 20; i >= 0; i-- ){
if ( up[u][i] != up[v][i] ){
u = up[u][i];
v = up[v][i];
}
}
return up[u][0];
}
int chain[N], top[N], id[N], ct = 0, rt = 1;
void hld(int u, int p){
id[u] = ++ct;
chain[u] = rt;
if ( top[rt] == -1 ){
top[rt] = u;
}
if ( h[u] != -1 ) hld(h[u], u);
for ( auto &v: G[u] ){
if ( v != p and h[u] != v ){
++rt; hld(v, u);
}
}
}
int query(int u, int v){
if ( d[u] < d[v] ){
return 0;
}
// v must be Parent of u
int ans = 0;
while ( chain[u] != chain[v] ){
int nxt = top[chain[u]];
ans += Sub.get(id[nxt], id[u]) - Dp.get(id[nxt], id[u]);
u = up[nxt][0];
}
ans += Sub.get(id[v], id[u]) - Dp.get(id[v], id[u]);
return ans;
}
int sb[N], dp[N];
vector <int> qu[N], A(N), B(N), C(N);
void dfs2(int u, int p){
int q = 0;
for ( auto &v: G[u] ){
if ( v != p ){
dfs2(v, u);
q += dp[v];
}
}
sb[u] = q;
for ( auto &i: qu[u] ){
int cnt = query(A[i], u) + query(B[i], u) + C[i] + sb[u];
chmax(dp[u], cnt);
}
chmax(dp[u], sb[u]);
Sub.upd(id[u], sb[u]);
Dp.upd(id[u], dp[u]);
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
memset(h, -1, sizeof(h));
memset(top, -1, sizeof(top));
dp[0] = -1;
int n; cin >> n;
Sub = Dp = Fenw(n);
for ( int i = 1; i < n; i++ ){
int u, v; cin >> u >> v;
G[u].pb(v), G[v].pb(u);
}
dfs(1, 0); hld(1, 0);
int m; cin >> m;
for ( int i = 0; i < m; i++ ){
cin >> A[i] >> B[i] >> C[i];
qu[lca(A[i], B[i])].pb(i);
}
dfs2(1, 0);
cout << dp[1];
cout << '\n';
}
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