This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma")
//#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
#define ll long long
//#define int long long
const int nmax = 1e5 + 5, N = 1e6;
const ll oo = 1e9 + 5, base = 311;
const int lg = 17, tx = 26;
const ll mod = 998244353;
#define pii pair<ll, ll>
#define fi first
#define se second
#define endl "\n"
#define debug(a, n) for(int i = 1; i <= n; ++i) cout << a[i] << ' '; cout << "\n";
using namespace std;
int n;
vector<int> adj[nmax];
struct node{
ll x, y, c;
};
vector<node>Q[nmax];
node a[nmax];
int h[nmax], up[nmax][lg + 1], sz[nmax];
void dfs(int u, int p){
sz[u] = 1;
for(auto v : adj[u]){
if(v == p) continue;
h[v] = h[u] + 1;
up[v][0] = u;
for(int j = 1; j <= lg; ++j)up[v][j] = up[up[v][j - 1]][j - 1];
dfs(v, u);
sz[u] += sz[v];
}
}
int lca(int u, int v){
if(h[u] != h[v]){
if(h[u] < h[v]) swap(u, v);
int k = h[u] - h[v];
for(int j = 0; j <= lg; ++j){
if(k >> j & 1){
u = up[u][j];
}
}
}
if(u == v) return u;
for(int j = lg; j >= 0; --j){
if(up[u][j] != up[v][j]){
u = up[u][j];
v = up[v][j];
}
}
return up[u][0];
}
int nchain = 1, m = 0, pos[nmax], ind[nmax], head[nmax];
int fly(int u, int a){
int k = h[u] - h[a] - 1;
if(k < 0) return -1;
for(int j = 0; j <= lg; ++j){
if(k >> j & 1) u = up[u][j];
}
return u;
}
void dfs_2(int u, int p){
if(!head[nchain]) head[nchain] = u;
pos[u]= ++m;
ind[u] = nchain;
int idx = -1;
for(auto v : adj[u]){
if(v == p) continue;
if(idx == -1 || sz[v]> sz[idx]){
idx = v;
}
}
if(idx != -1) dfs_2(idx, u);
for(auto v: adj[u]){
if(v == p || v == idx) continue;
++nchain;
dfs_2(v, u);
}
}
struct hld1{
ll tree[nmax << 2];
void update(int id, int l, int r, int u, ll val){
if(l > u || r < u) return;
if(l == r){
tree[id] = val;
return;
}
int mid = r + l >> 1;
update(id << 1, l, mid, u, val);
update(id << 1 | 1, mid + 1, r, u, val);
tree[id] = tree[id << 1] + tree[id << 1 | 1];
}
ll get(int id, int l, int r, int u, int v){
if(l >= u && r <= v) return tree[id];
int mid = r + l >> 1;
if(mid < u) return get(id << 1 | 1, mid + 1, r, u, v);
if(mid + 1 > v) return get(id << 1, l, mid, u, v);
return get(id << 1, l, mid, u, v) + get(id << 1| 1, mid + 1, r, u, v);
}
ll get(int u, int a){
int uchain = ind[u], achain = ind[a];
ll res = 0;
while(1){
if(achain == uchain){
res += get(1, 1, n, pos[a], pos[u]);
return res;
}
res += get(1, 1, n, pos[head[uchain]], pos[u]);
u = up[u][0];
uchain = ind[u];
}
}
void update(int u, int val){
update(1, 1, n, pos[u], val);
}
}A[2];
ll f[nmax][2];
void dfs_3(int u, int p){
ll sum = 0;
for(auto v : adj[u]){
if(v == p) continue;
dfs_3(v, u);
sum += max(f[v][0], f[v][1]);
}
for(auto [x, y, c] : Q[u]){
int t1 = fly(x, u);
int t2 = fly(y, u);
ll cur = 0;
if(t1 != -1){
cur += A[0].get(x, t1);
cur -= A[1].get(x, t1);
}
if(t2 != -1){
cur += A[0].get(y, t2);
cur -= A[1].get(y, t2);
}
// if(u == 5) cout << c << ' ' << cur <<endl;
cur += sum;
f[u][1] = max(f[u][1], cur + c);
}
f[u][0] = sum;
A[0].update(u, sum);
A[1].update(u, max(f[u][1], f[u][0]));
// cout << u << ' ' << max(f[u][0], f[u][1]) << ' ' << A[0].get(u, u) << endl;
}
main(){
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
// freopen("code.inp", "r", stdin);
// freopen("code.out", "w", stdout);
cin >> n;
for(int i = 1; i < n; ++i){
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
dfs(1, -1);
int m;
cin >>m;
for(int i = 1; i <= m; ++i){
cin >> a[i].x >> a[i].y >> a[i].c;
int lc = lca(a[i].x, a[i].y);
Q[lc].push_back(a[i]);
}
dfs_2(1, -1);
dfs_3(1, -1);
// cout << A[0].get(6, 6);
cout << max(f[1][1], f[1][0]);
}
/*
7
3 4
6 5
2 7
1 5
7 5
4 5
5
4 3 10
5 6 5
2 6 9
7 2 2
1 3 8
*/
Compilation message (stderr)
election_campaign.cpp: In member function 'void hld1::update(int, int, int, int, long long int)':
election_campaign.cpp:94:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
94 | int mid = r + l >> 1;
| ~~^~~
election_campaign.cpp: In member function 'long long int hld1::get(int, int, int, int, int)':
election_campaign.cpp:101:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
101 | int mid = r + l >> 1;
| ~~^~~
election_campaign.cpp: At global scope:
election_campaign.cpp:156:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
156 | main(){
| ^~~~
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