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;
constexpr int BASE = 1 << 18;
constexpr int MAXN = 1e5+7;
vector<int> G[MAXN];
ll TREE[BASE<<1][2];
vector<tuple<int, int, int>> event[MAXN];
int dp[MAXN][2];
int pre[MAXN], post[MAXN];
int depth[MAXN];
int jmp[MAXN][18];
int tajm;
int n, m;
void update(int v, ll val, bool x){
v += BASE;
TREE[v][x] = val;
v/=2;
while(v>0){
TREE[v][x] = TREE[2*v][x] + TREE[2*v+1][x];
v/=2;
}
}
ll query(int a, int b, bool x){
a += BASE-1;
b += BASE+1;
ll out = 0;
while(a/2 != b/2){
if(a%2 == 0) out += TREE[a+1][x];
if(b%2 == 1) out += TREE[b-1][x];
a/=2; b/=2;
}
return out;
}
int lca(int v, int u){
if(depth[u] < depth[v]) swap(u, v);
for(int k = 17; k >= 0; k--)
if(depth[jmp[u][k]] >= depth[v]) u = jmp[u][k];
if(u == v) return v;
for(int k = 17; k >= 0; k--){
if(jmp[u][k] != jmp[v][k]){
u = jmp[u][k];
v = jmp[v][k];
}
}
return jmp[v][0];
}
void dfs(int v, int p){
depth[v] = depth[p]+1;
pre[v] = ++tajm;
jmp[v][0] = p;
for(int k = 1; k <= 17; k++)
jmp[v][k] = jmp[jmp[v][k-1]][k-1];
for(auto u : G[v]){
if(u == p) continue;
dfs(u, v);
}
post[v] = ++tajm;
}
void dfs2(int v, int p){
for(auto u : G[v]){
if(u == p) continue;
dfs2(u, v);
dp[v][0] += dp[u][1];
}
dp[v][1] = dp[v][0];
for(auto [a, b, c] : event[v]){
ll path1 = query(pre[v], pre[a], 0) - query(pre[v], pre[a], 1);
ll path2 = query(pre[v], pre[b], 0) - query(pre[v], pre[b], 1);
dp[v][1] = max((ll)dp[v][1], (ll)dp[v][0] + c + path1 + path2);
}
update(pre[v], dp[v][0], 0);
update(post[v], -dp[v][0], 0);
update(pre[v], dp[v][1], 1);
update(post[v], -dp[v][1], 1);
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for(int i = 1; i < n; i++){
int u, v;
cin >> u >> v;
G[u].push_back(v);
G[v].push_back(u);
}
dfs(1, 1);
cin >> m;
for(int i = 1; i <= m; i++){
int a, b, c;
cin >> a >> b >> c;
event[lca(a, b)].push_back({a, b, c});
}
dfs2(1, 1);
cout << dp[1][1] << "\n";
}
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