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;
using ll = long long;
using ld = long double;
const int MAXN = 100000;
const int MXLOG = 18;
vector <int> graf[MAXN+5];
int dp[MAXN+5];
int par[MAXN+5][MXLOG+1];
int tjm;
int in[MAXN+5];
int out[MAXN+5];
int bit[2*MAXN+5];
int niz[2*MAXN+5];
void upd(int x, int val){
while(x <= 2*MAXN){
bit[x] += val;
x += x & -x;
}
}
int bitget(int x){
int res = 0;
while(x){
res += bit[x];
x -= x & -x;
}
return res;
}
int query(int l, int r){
return bitget(r) - bitget(l-1);
}
void dfs_calc(int v, int p){
in[v] = ++tjm;
par[v][0] = p;
for(int j=1; j<=MXLOG; j++) par[v][j] = par[par[v][j-1]][j-1];
for(auto c : graf[v]) if(c != p) dfs_calc(c, v);
out[v] = ++tjm;
}
bool is_parent(int a, int b){
return (a == 0) || (in[a] <= in[b] && out[b] <= out[a]);
}
int lca(int a, int b){
if(is_parent(a, b)) return a;
for(int j=MXLOG; j>=0; j--) if(!is_parent(par[a][j], b)) a = par[a][j];
return par[a][0];
}
struct Option{
int a, b, c;
};
vector <Option> options[MAXN+5];
int prvidole(int a, int b){
for(int j=MXLOG; j>=0; j--) if(!is_parent(par[b][j], a)) b = par[b][j];
return b;
}
void dfs_solve(int v, int p){
for(auto c : graf[v]){
if(c != p){
dfs_solve(c, v);
dp[v] += dp[c];
}
}
for(auto option : options[v]){
int a = option.a;
int b = option.b;
int c = option.c;
int val = c;
if(is_parent(b, a)) swap(a, b);
if(a == v){
val += query(in[v], in[b]);
}
else{
val += query(in[v], in[a]);
int k = prvidole(v, b);
val -= dp[k];
val += query(in[k], in[b]);
}
dp[v] = max(dp[v], val);
}
if(v != 1){
upd(in[p], dp[v]);
upd(in[v], -dp[v]);
upd(out[v], dp[v]);
upd(out[p], -dp[v]);
}
}
int main(){
ios_base::sync_with_stdio(false), cin.tie(0);
cout.precision(10);
cout << fixed;
int n;
cin >> n;
for(int i=1; i<n; i++){
int a, b;
cin >> a >> b;
graf[a].push_back(b);
graf[b].push_back(a);
}
dfs_calc(1, 0);
int m;
cin >> m;
while(m--){
int a, b, c;
cin >> a >> b >> c;
options[lca(a, b)].push_back({a, b, c});
}
dfs_solve(1, 0);
cout << dp[1] << "\n";
return 0;
}
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