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;
#define ll long long
#define ull unsigned long long
#define pb(e) push_back(e)
#define sv(a) sort(a.begin(),a.end())
#define sa(a,n) sort(a,a+n)
#define mp(a,b) make_pair(a,b)
#define vf first
#define vs second
#define ar array
#define all(x) x.begin(),x.end()
const int inf = 0x3f3f3f3f;
const int mod = 1000000007;
const double PI=3.14159265358979323846264338327950288419716939937510582097494459230;
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
bool remender(ll a , ll b){return a%b;}
//freopen("problemname.in", "r", stdin);
//freopen("problemname.out", "w", stdout);
struct Fen {
vector<int> tree;
void init(int n){
tree.assign(n + 1 , 0LL);
}
void set(int i , int val , int n){
i++;
while(i <= n){
tree[i] += val;
i += (i & (-i));
}
}
int sum(int i){
i++;
ll ans = 0;
while(i > 0){
ans += tree[i];
i -= (i & (-i));
}
return ans;
}
void build(vector<int>& a){
int n = a.size();
for(int i = 0; i < n; i++){
set(i , a[i] , n);
}
}
};
struct item {
int a , b , lca , c;
};
item make(int a , int b , int lca, int c){
item it;
it.a = a;
it.b = b;
it.lca = lca;
it.c = c;
return it;
}
const int N = 100002,L=20;
int timer , tin[N],tout[N],up[N][L],ft[2*N];
vector<int> adj[N],pos[N];
vector<item> v;
int dp[N],sum[N],n;
Fen ft_dp,ft_sum;
void bl(int node , int par){
up[node][0] = par;
ft[timer] = node;
tin[node] = timer++;
for(int i = 1; i < L; i++){
up[node][i] = up[up[node][i-1]][i-1];
}
for(int i : adj[node]){
if(i!=par){
bl(i , node);
}
}
ft[timer] = node;
tout[node] = timer++;
}
bool is_lca(int x , int y){
return tin[x] <= tin[y] && tout[x] >= tout[y];
}
int find(int x , int y){
if(is_lca(x,y))return x;
if(is_lca(y,x))return y;
for(int i = L - 1; i >= 0; i--){
if(!is_lca(up[x][i] , y))x = up[x][i];
}
return up[x][0];
}
void dfs(int node , int par){
sum[node] = 0;
for(int i : adj[node]){
if(i!=par){
dfs(i,node);
sum[node] += dp[i];
}
}
dp[node] = sum[node];
for(int i : pos[node]){
int res = 0;
if(v[i].a != node){
res += ft_sum.sum(tin[v[i].a]) - ft_sum.sum(tin[node]);
res -= ft_dp.sum(tin[v[i].a]) - ft_dp.sum(tin[node]);
}
if(v[i].b != node){
res += ft_sum.sum(tin[v[i].b]) - ft_sum.sum(tin[node]);
res -= ft_dp.sum(tin[v[i].b]) - ft_dp.sum(tin[node]);
}
res += sum[node];
res += v[i].c;
dp[node] = max(dp[node] , res);
}
ft_sum.set(tin[node],sum[node],2*n);
ft_sum.set(tout[node],-sum[node],2*n);
ft_dp.set(tin[node],dp[node],2*n);
ft_dp.set(tout[node],-dp[node],2*n);
}
void solve(){
cin >> n;
for(int i = 0; i < n - 1; i++){
int a , b;
cin >> a >> b;
adj[a].pb(b);
adj[b].pb(a);
}
timer = 0;
bl(1,1);
int m;
cin >> m;
for(int i = 0; i < m; i++){
int a , b , c;
cin >> a >> b >> c;
int lca = find(a,b);
v.pb(make(a,b,lca,c));
pos[lca].pb(i);
}
ft_dp.init(2*n);
ft_sum.init(2*n);
dfs(1,1);
cout << dp[1] << '\n';
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
//int t;cin >> t;while(t--)
solve();
return 0;
}
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