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>
#define ll long long
#define fi first
#define se second
#define endl '\n'
#define MASK(i) (1LL << (i))
#define ull unsigned long long
#define ld long double
#define pb push_back
#define all(x) (x).begin() , (x).end()
#define BIT(x , i) ((x >> (i)) & 1)
#define TASK "task"
#define sz(s) (int) (s).size()
using namespace std;
const int mxN = 5e5 + 227;
const int inf = 1e9 + 277;
const int mod = 1e9 + 7;
const ll infll = 1e18 + 7;
const int base = 307;
const int LOG = 20;
template <typename T1, typename T2> bool minimize(T1 &a, T2 b) {
if (a > b) {a = b; return true;} return false;
}
template <typename T1, typename T2> bool maximize(T1 &a, T2 b) {
if (a < b) {a = b; return true;} return false;
}
struct FenwickTree{
int n;
vector<int> bit;
FenwickTree(){}
FenwickTree(int _n) {
n = _n;
bit.resize(n + 7, 0);
}
void update(int pos, int val)
{
for(; pos <= n; pos += pos & -pos) bit[pos] += val;
}
int getsum(int pos)
{
int res = 0;
for(; pos > 0; pos -= pos & -pos) res += bit[pos];
return res;
}
int getsum(int l, int r)
{
return getsum(r) - getsum(l - 1);
}
} ft;
struct Query{
int u, v, c;
};
int n;
int m;
int dp[mxN];
int sum[mxN];
int sta[mxN];
int fin[mxN];
int dep[mxN];
int par[mxN][LOG + 1];
vector<int> adj[mxN];
vector<Query> query[mxN];
int timer = 0;
void dfs_pre(int u, int p)
{
sta[u] = ++timer;
for(int v : adj[u]) {
if(v == p) continue;
dep[v] = dep[u] + 1;
par[v][0] = u;
dfs_pre(v, u);
}
fin[u] = timer;
}
int getlca(int u, int v)
{
if(dep[u] < dep[v]) swap(u, v);
for(int j = LOG; j >= 0; j--) if(dep[par[u][j]] >= dep[v]) u = par[u][j];
if(u == v) return u;
for(int j = LOG; j >= 0; j--) {
if(par[u][j] != par[v][j]) {
u = par[u][j];
v = par[v][j];
}
}
return par[u][0];
}
void dfs(int u, int p)
{
vector<pair<int, int>> val;
int ans = 0;
for(int v : adj[u]) {
if(v == p) continue;
dfs(v, u);
ans += dp[v];
val.pb({sta[v], dp[v]});
}
sum[u] = ans;
dp[u] = ans;
sort(all(val));
for(auto it : query[u]) {
int newval = ans + it.c + ft.getsum(sta[it.u]) + ft.getsum(sta[it.v]);
// int x = it.u;
// int y = it.v;
// while(x != u) {
// newval += sum[x] - dp[x];
// x = par[x][0];
// }
// while(y != u) {
// newval += sum[y] - dp[y];
// y = par[y][0];
// }
// int newval = ans + it.c;
// if(it.u != u) {
// int p = upper_bound(all(val), make_pair(sta[it.u], inf)) - val.begin();
// newval -= val[p - 1].se;
// newval += sum[it.u];
// }
// if(it.v != u) {
// int p = upper_bound(all(val), make_pair(sta[it.v], inf)) - val.begin();
// newval -= val[p - 1].se;
// newval += sum[it.v];
// }
maximize(dp[u], newval);
}
ft.update(sta[u], sum[u] - dp[u]);
ft.update(fin[u] + 1, dp[u] - sum[u]);
}
void solve()
{
cin >> n;
for(int i = 1; i < n; i++) {
int u, v;
cin >> u >> v;
adj[u].pb(v);
adj[v].pb(u);
}
par[1][0] = 1;
dfs_pre(1, -1);
for(int j = 1; j <= LOG; j++)
for(int i = 1; i <= n; i++)
par[i][j] = par[par[i][j - 1]][j - 1];
cin >> m;
for(int i = 1; i <= m; i++) {
int u, v, c;
cin >> u >> v >> c;
int lca = getlca(u, v);
query[lca].pb({u, v, c});
}
ft = FenwickTree(n);
dfs(1, -1);
int res = 0;
for(int i = 1; i <= n; i++) maximize(res, dp[i]);
cout << res;
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
//freopen(TASK".inp" , "r" , stdin);
//freopen(TASK".out" , "w" , stdout);
int tc = 1;
//cin >> tc;
while(tc--) {
solve();
}
return 0;
}
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