This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// IN THE NAME OF ALLAH
#include<bits/stdc++.h>
using namespace std;
#define fast ios_base::sync_with_stdio(false);cin.tie(NULL)
#define wall cerr << "------------------------------------" << endl
#define pb push_back
#define pob pop_back
#define F first
#define S second
#define all(x) x.begin() , x.end()
#define scan scanf
#define print printf
#define outs(x) print("%lld " , x)
#define out(x) print("%lld\n" , x)
#define in(x) scan("%lld" , &x)
#define int ll
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#pragma GCC optimize("Ofast")
typedef long long ll;
typedef pair<int , int> pii;
typedef pair<ll , ll> pll;
typedef pair<pii,int> piii;
typedef pair<pll , ll> plll;
const int N = 4e5+10;
const int K = 640+10;
const ll mod = 1e9+7;
const ll INF = 1e9+10;
const int P = 31;
const int lg = 25;
const int delta = 10289;
int par[N][lg];
int p[N];
int h[N];
int dp[N];
int pd[N];
int st[N];
int fn[N];
int oo = 0;
int seg[4*N];
int la[4*N];
vector<int> g[N];
int n , m;
vector<pair<int , pii>> qu[N];
void shift(int v , int tl , int tr) {
seg[v] += la[v];
if(tl != tr) {
la[2*v] += la[v];
la[2*v+1] += la[v];
}
la[v] = 0;
}
void upd(int v , int tl , int tr , int l , int r , int x) {
shift(v , tl , tr);
if(l > r)
return;
if(tl == l && tr == r) {
la[v] += x;
shift(v , tl , tr);
return;
}
int tm = (tl + tr)/2;
upd(2*v , tl , tm , l , min(tm , r) , x);
upd(2*v+1 , tm+1 , tr , max(l , tm+1) , r , x);
seg[v] = seg[2*v] + seg[2*v+1];
}
int ask(int v , int tl , int tr , int pos) {
shift(v , tl , tr);
if(tl == tr)
return seg[v];
int tm = (tl + tr)/2;
if(tm >= pos)
return ask(2*v , tl , tm , pos);
return ask(2*v+1 , tm+1 , tr , pos);
}
void init() {
for(int i = 1 ; i <= n ; i++)
par[i][0] = p[i];
for(int i = 1 ; i < lg ; i++)
for(int j = 1 ; j <= n ; j++)
par[j][i] = par[par[j][i-1]][i-1];
}
void dfs(int v , int pr) {
st[v] = ++oo;
for(auto u : g[v]) {
if(u == pr)
continue;
p[u] = v;
h[u] = h[v] + 1;
dfs(u , v);
}
fn[v] = oo;
}
int get_par(int v , int h) {
for(int i = 0 ; i < lg ; i++)
if(h & (1ll << i))
v = par[v][i];
return v;
}
int lca(int v , int u) {
if(h[u] > h[v])
swap(u , v);
int he = h[v] - h[u];
if(he)
v = get_par(v , he);
if(v == u)
return v;
for(int i = lg-1 ; i >= 0 ; i--)
if(par[v][i] != par[u][i]) {
u = par[u][i];
v = par[v][i];
}
return par[v][0];
}
void get(int v , int pr) {
for(auto u : g[v]) {
if(u == pr)
continue;
get(u , v);
pd[v] += dp[u];
}
dp[v] = pd[v];
for(auto px : qu[v]) {
int y = px.S.F;
int u = px.S.S;
int w = px.F;
int x = pd[v] + w;
int f = 0 , e = 0;
if(u != v)
f = ask(1 , 1 , n , st[u]);
if(y != v)
e = ask(1 , 1 , n , st[y]);
dp[v] = max(dp[v] , x + f + e);
}
upd(1 , 1 , n , st[v] , fn[v] , pd[v] - dp[v]);
}
signed main()
{
cin >> n;
for(int i = 2 ; i <= n ; i++) {
int v , u;
cin >> v >> u;
g[v].pb(u);
g[u].pb(v);
}
dfs(1 , -1);
init();
cin >> m;
for(int i = 1 ; i <= m ; i++) {
int v , u , w;
cin >> v >> u >> w;
int lc = lca(v , u);
qu[lc].pb({w , {v , u}});
}
get(1 , -1);
cout << dp[1] << "\n";
}
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