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;
struct binary_indexed_tree{
int N;
vector<int> BIT;
binary_indexed_tree(){
}
binary_indexed_tree(int N): N(N), BIT(N + 1, 0){
}
void add(int i, int x){
i++;
while (i <= N){
BIT[i] += x;
i += i & -i;
}
}
int sum(int i){
int ans = 0;
while (i > 0){
ans += BIT[i];
i -= i & -i;
}
return ans;
}
int sum(int L, int R){
return sum(R) - sum(L);
}
};
struct heavy_light_decomposition{
vector<int> p, sz, in, next;
binary_indexed_tree BIT;
heavy_light_decomposition(vector<int> &p, vector<vector<int>> &c): p(p){
int N = p.size();
sz = vector<int>(N, 1);
dfs1(c);
in = vector<int>(N);
next = vector<int>(N, 0);
int t = 0;
dfs2(c, t);
BIT = binary_indexed_tree(N);
}
void dfs1(vector<vector<int>> &c, int v = 0){
for (int &w : c[v]){
dfs1(c, w);
sz[v] += sz[w];
if (sz[w] > sz[c[v][0]]){
swap(w, c[v][0]);
}
}
}
void dfs2(vector<vector<int>> &c, int &t, int v = 0){
in[v] = t;
t++;
for (int w : c[v]){
if (w == c[v][0]){
next[w] = next[v];
} else {
next[w] = w;
}
dfs2(c, t, w);
}
}
int lca(int u, int v){
while (true){
if (in[u] > in[v]){
swap(u, v);
}
if (next[u] == next[v]){
return u;
}
v = p[next[v]];
}
}
void add(int v, int x){
BIT.add(in[v], x);
}
int path_sum(int u, int v){
int w = lca(u, v);
int ans = 0;
while (next[u] != next[w]){
ans += BIT.sum(in[next[u]], in[u] + 1);
u = p[next[u]];
}
ans += BIT.sum(in[w], in[u] + 1);
while (next[v] != next[w]){
ans += BIT.sum(in[next[v]], in[v] + 1);
v = p[next[v]];
}
ans += BIT.sum(in[w] + 1, in[v] + 1);
return ans;
}
};
int main(){
int N;
cin >> N;
vector<vector<int>> E(N);
for (int i = 0; i < N - 1; i++){
int X, Y;
cin >> X >> Y;
X--;
Y--;
E[X].push_back(Y);
E[Y].push_back(X);
}
int M;
cin >> M;
vector<int> A(M), B(M), C(M);
for (int i = 0; i < M; i++){
cin >> A[i] >> B[i] >> C[i];
A[i]--;
B[i]--;
}
vector<int> p(N, -1);
vector<vector<int>> c(N);
queue<int> Q;
Q.push(0);
vector<int> bfs;
while (!Q.empty()){
int v = Q.front();
Q.pop();
bfs.push_back(v);
for (int w : E[v]){
if (w != p[v]){
p[w] = v;
c[v].push_back(w);
Q.push(w);
}
}
}
heavy_light_decomposition T(p, c);
vector<vector<int>> id(N);
for (int i = 0; i < M; i++){
id[T.lca(A[i], B[i])].push_back(i);
}
reverse(bfs.begin(), bfs.end());
vector<int> dp(N, 0);
vector<int> dpsum(N, 0);
for (int v : bfs){
for (int w : c[v]){
dpsum[v] += dp[w];
}
T.add(v, dpsum[v]);
int mx = dpsum[v];
for (int w : id[v]){
mx = max(mx, T.path_sum(A[w], B[w]) + C[w]);
}
dp[v] = mx;
T.add(v, -dp[v]);
}
cout << dp[0] << endl;
}
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