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;
template<class T> bool ckmax(T &u, const T &v) { return u < v ? (u = v, true) : false; }
template<class T> bool ckmin(T &u, const T &v) { return u > v ? (u = v, true) : false; }
struct lca_algo {
// private:
int nodeCnt, root;
vector<int> tin, tout;
vector<int64_t> depth;
vector<vector<pair<int, int>>> adj;
vector<vector<int>> par;
static int floor_log2(int x) { return x ? 31 - __builtin_clz(x) : -1; }
void dfs(int u) {
static int timer = 0;
tin[u] = ++timer;
for (int j = 1; j < floor_log2(nodeCnt); j++)
par[u][j] = par[par[u][j - 1]][j - 1];
for (auto v : adj[u]) if (v.first != par[u][0]) {
par[v.first][0] = u;
depth[v.first] = depth[u] + v.second;
dfs(v.first);
}
tout[u] = ++timer;
}
public:
lca_algo() {}
lca_algo(int _n, int _root = 0) : nodeCnt(_n), root(_root), tin(_n), tout(_n),
depth(_n), adj(_n), par(_n, vector<int>(floor_log2(_n), -1)) {}
void add_edge(int u, int v, int w = 1) {
adj[u].emplace_back(v, w);
adj[v].emplace_back(u, w);
}
void init() {
par[root][0] = root;
depth[root] = 0;
dfs(root);
}
bool is_ancestor(int u, int v) {
return tin[u] <= tin[v] && tout[u] >= tout[v];
}
int lcaQuery(int u, int v) {
if (is_ancestor(u, v)) return u;
if (is_ancestor(v, u)) return v;
for (int j = floor_log2(nodeCnt) - 1; j >= 0; j--)
if (!is_ancestor(par[u][j], v)) u = par[u][j];
return par[u][0];
}
int64_t distQuery(int u, int v) {
return depth[u] + depth[v] - 2 * depth[lcaQuery(u, v)];
}
};
struct fenwick_tree {
private:
int tree_size;
vector<int64_t> ft1, ft2;
int lowbit(int i) { return i & -i; }
int64_t sum(vector<int64_t> &ft, int p) {
int64_t res = 0; for (; p; p -= lowbit(p)) res += ft[p];
return res;
}
void upd(vector<int64_t> &ft, int p, int64_t v) { for (; p <= tree_size; p += lowbit(p)) ft[p] += v; }
void update(int p, int64_t v) { upd(ft1, p, v), upd(ft2, p, p * v); }
int64_t query(int p) { return (p + 1) * sum(ft1, p) - sum(ft2, p); }
public:
fenwick_tree(int _ts) : tree_size(_ts), ft1(_ts + 1), ft2(_ts + 1) {}
void update(int l, int r, int64_t v) { assert(l <= r); update(l, v); update(r + 1, -v); }
int64_t query(int l, int r) { assert(l <= r); return query(r) - query(l - 1); }
};
typedef long long ll;
const int N = 1e5 + 2;
int n, m;
vector<array<int, 3>> plans[N];
ll dp[N][2];
lca_algo LCA(N);
fenwick_tree fw(N << 1);
void dfs_dp(int u) {
for (auto v : LCA.adj[u]) if (v.first != LCA.par[u][0]) {
dfs_dp(v.first);
dp[u][0] += dp[v.first][1];
}
ckmax(dp[u][1], dp[u][0]);
for (auto it : plans[u]) {
int a = it[0], b = it[1], c = it[2];
ckmax(dp[u][1], c + fw.query(1, LCA.tin[a]) + fw.query(1, LCA.tin[b]) + dp[u][0]);
}
fw.update(LCA.tin[u], LCA.tin[u], dp[u][0] - dp[u][1]);
fw.update(LCA.tout[u], LCA.tout[u], dp[u][1] - dp[u][0]);
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n;
for (int i = 0; i < n - 1; i++) {
int u, v; cin >> u >> v; --u, --v;
LCA.add_edge(u, v);
}
LCA.init();
cin >> m;
for (int i = 0; i < m; i++) {
int a, b, c; cin >> a >> b >> c; --a, --b;
plans[LCA.lcaQuery(a, b)].push_back({a, b, c});
}
dfs_dp(0);
cout << dp[0][1] << '\n';
}
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