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 GOD
*/
#include <bits/stdc++.h>
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef long double ld;
#define F first
#define S second
#define Mp make_pair
#define pb push_back
#define pf push_front
#define size(x) ((ll)x.size())
#define all(x) (x).begin(),(x).end()
#define kill(x) cout << x << '\n', exit(0);
#define fuck(x) cout << "(" << #x << " , " << x << ")" << endl
#define endl '\n'
const int N = 2e5+23, lg = 18;
ll Mod = 1e9+7; //998244353;
inline ll MOD(ll a, ll mod=Mod) {a%=mod; (a<0)&&(a+=mod); return a;}
inline ll poww(ll a, ll b, ll mod=Mod) {
ll ans = 1;
a=MOD(a, mod);
while (b) {
if (b & 1) ans = MOD(ans*a, mod);
b >>= 1;
a = MOD(a*a, mod);
}
return ans;
}
ll n, m, fen[N], dp[N], sum[N];
int tim, tin[N], tout[N], h[N], par[lg][N];
vector<int> adj[N];
vector<vector<ll>> vec[N];
void upd(int pos, ll val) {while(pos<N) {fen[pos]+=val; pos+=(pos&(-pos));}}
ll qry(int pos) {
ll res = 0; while(pos > 0) {res += fen[pos]; pos-=(pos&(-pos));} return res;
}
void add(int l, int r, ll val) {upd(l, val); upd(r, -val);}
int getPar(int v, int dist) {
for(int i=0; i<lg; i++) {
if((dist>>i)%2==1) v=par[i][v];
} return v;
}
int LCA(int v, int u) {
if(h[u]<h[v]) swap(v,u);
u = getPar(u, h[u]-h[v]);
if(v==u) return v;
for(int i=lg-1; i>=0; i--) {
if(par[i][v] != par[i][u]) v=par[i][v], u=par[i][u];
}
return par[0][v];
}
void init(int v, int p=0) {
par[0][v] = p, h[v] = h[p] + 1, tin[v] = ++tim;
for(int i=1; i<lg; i++) {
par[i][v] = par[i-1][par[i-1][v]];
}
for(int u : adj[v]) {
if(u == p) continue;
init(u, v);
}
tout[v] = tim+1;
}
void dfs(int v, int p=0) {
for(int u : adj[v]) {
if(u == p) continue;
dfs(u, v);
dp[v] += dp[u];
sum[v] += dp[u];
}
for(auto it : vec[v]) {
int a,b;
if(it[0]!=v) a=getPar(it[0],h[it[0]]-h[v]-1);
else a = 0;
if(it[1]!=v) b=getPar(it[1],h[it[1]]-h[v]-1);
else b = 0;
dp[v] = max(dp[v], qry(tin[it[0]])+qry(tin[it[1]])+it[2]+sum[v]-dp[a]-dp[b]);
}
add(tin[v], tin[v]+1, sum[v]);
for(int u : adj[v]) {
if(u == p) continue;
add(tin[u], tout[u], sum[v]-dp[u]);
}
}
int main () {
// ios_base::sync_with_stdio(false), cin.tie(0);
cin>>n;
for(int v,u,i=1; i<n; i++) {
cin>>v>>u;
adj[v].pb(u); adj[u].pb(v);
}
init(1);
cin>>m;
for(int a,b,c,i=1; i<=m; i++) {
cin>>a>>b>>c;
vec[LCA(a, b)].pb({a, b, c});
}
dfs(1);
cout<<dp[1]<<endl;
return 0;
}
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