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;
typedef long long ll;
const int mod = 1e9 + 7;
const int maxn = 1e5 + 10;
vector<int> t[maxn], vec[maxn];
int dp[maxn], mx[maxn], c[maxn], lazy[maxn], cost[maxn], w[maxn];
set<int> s[maxn];
void dfs(int v, int p = -1){
int sum = 0;
for (auto u : t[v])
if (u != p)
dfs(u, v), sum += dp[u];
dp[v] = sum + mx[v];
for (auto u : t[v])
if (u != p)
lazy[c[u]] += sum - dp[u];
for (auto u : t[v]){
if (u != p){
if (s[c[u]].size() > s[c[v]].size())
swap(c[v], c[u]);
for (auto idx : s[c[u]]){
if (s[c[v]].find(idx) != s[c[v]].end())
dp[v] = max(dp[v], cost[idx] + lazy[c[v]] + lazy[c[u]] - sum + w[idx]);
else
s[c[v]].insert(idx), cost[idx] += lazy[c[u]] - lazy[c[v]];
}
s[c[u]].clear();
}
}
for (auto idx : vec[v]){
if (s[c[v]].find(idx) == s[c[v]].end())
s[c[v]].insert(idx), cost[idx] = sum - lazy[c[v]];
else
dp[v] = max(dp[v], cost[idx] + lazy[c[v]] + w[idx]);
}
}
int main(){
ios_base::sync_with_stdio (false);
int n;
cin >> n;
for (int i = 0; i < n - 1; i++){
int v, u;
cin >> v >> u;
// v --, u --;
t[v].push_back(u);
t[u].push_back(v);
}
int m;
cin >> m;
for (int i = 1; i <= n; i++)
c[i] = i;
for (int i = 1; i <= m; i++){
int v, u;
cin >> v >> u >> w[i];
if (v == u){
mx[v] = max(mx[v], w[i]);
continue;
}
vec[v].push_back(i);
vec[u].push_back(i);
}
dfs(1);
cout << dp[1] << endl;
}
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