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;
const int MAXN = 1e5 + 10;
const int MAXK = 25;
#define int long long
array<vector<int>, MAXN> grafo;
array<vector<tuple<int, int, int>>, MAXN> plans;
array<array<int, MAXK>, MAXN> bnLift;
array<int, MAXN> prof, sub, tin, tout, head;
array<array<int, 2>, MAXN> dp;
array<int, 4*MAXN> seg;
int temp = 0;
int N;
void update(int pos, int ini, int fim, int id, int val)
{
if (id < ini || id > fim) return;
if (ini == fim)
{
seg[pos] = val;
return;
}
int m = (ini + fim) >> 1;
int e = 2*pos; int d = 2*pos + 1;
update(e, ini, m, id, val);
update(d, m+1, fim, id, val);
seg[pos] = seg[e] + seg[d];
}
int query(int pos, int ini, int fim, int p, int q)
{
if (q < ini || p > fim) return 0;
if (p <= ini && fim <= q) return seg[pos];
int m = (ini + fim) >> 1;
int e = 2*pos; int d = 2*pos + 1;
return (query(e, ini, m, p, q) + query(d, m+1, fim, p, q));
}
void dfsProf(int v, int p)
{
sub[v] = 1; prof[v] = prof[p] + 1;
bnLift[v][0] = p;
for (int k = 1; k < MAXK; k++) bnLift[v][k] = bnLift[bnLift[v][k-1]][k-1];
for (auto &viz : grafo[v])
{
if (viz == p) continue;
dfsProf(viz, v);
sub[v] += sub[viz];
if (grafo[v][0] == p || sub[grafo[v][0]] < sub[viz]) swap(viz, grafo[v][0]);
}
}
void dfsInit(int v, int p, int paiCur)
{
tin[v] = ++temp; head[v] = paiCur;
for (auto viz : grafo[v])
{
if (viz == p) continue;
if (viz == grafo[v][0]) dfsInit(viz, v, paiCur);
else dfsInit(viz, v, viz);
}
tout[v] = temp;
}
//Path from x to y
int query_path(int x, int y)
{
if (head[x] == head[y]) return query(1, 1, N, tin[y], tin[x]);
else return (query(1, 1, N, tin[head[x]], tin[x]) + query_path(bnLift[head[x]][0], y));
}
int lca(int a, int b)
{
if (prof[a] < prof[b]) swap(a, b);
int jump = prof[a] - prof[b];
for (int k = 0; k < MAXK; k++) if (jump & (1 << k)) a = bnLift[a][k];
if (a == b) return a;
for (int k = MAXK-1; k >= 0; k--)
if (bnLift[a][k] != bnLift[b][k]) a = bnLift[a][k], b = bnLift[b][k];
return bnLift[a][0];
}
void dfsDp(int v, int p)
{
dp[v][0] = dp[v][1] = 0;
for (auto viz : grafo[v])
{
if (viz == p) continue;
dfsDp(viz, v);
dp[v][0] += dp[viz][1];
}
dp[v][1] = dp[v][0];
for (auto [X, Y, C] : plans[v])
{
int aux = dp[v][0];
aux += query_path(X, v);
aux += query_path(Y, v);
aux += C;
dp[v][1] = max(dp[v][1], aux);
}
update(1, 1, N, tin[v], dp[v][0] - dp[v][1]);
}
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> N;
for (int i = 1; i < N; i++)
{
int X, Y;
cin >> X >> Y;
grafo[X].push_back(Y);
grafo[Y].push_back(X);
}
dfsProf(1, 1); dfsInit(1, 1, 1);
dfsDp(1, 1);
int M;
cin >> M;
for (int i = 1; i <= N; i++)
{
int X, Y, C;
cin >> X >> Y >> C;
if (prof[X] > prof[Y]) swap(X, Y);
plans[lca(X, Y)].emplace_back(X, Y, C);
}
dfsDp(1, 1);
cout << max(dp[1][0], dp[1][1]) << '\n';
}
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