This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Make the best become better
// No room for laziness
#include<bits/stdc++.h>
#define int long long
#define pb push_back
#define fi first
#define se second
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxN = 1e5 + 5;
const int mod = 1e9 + 7;
const ll oo = 1e18;
int n, m;
vector<int> adj[maxN];
struct TPath
{
int s, t, w;
} a[maxN];
int sz[maxN], p[maxN], depth[maxN];
int chainhead[maxN], chainid[maxN], nChain = 0;
int timein[maxN], Time = 0;
vector<TPath> vc[maxN];
int f[maxN];
struct SegTree
{
int st[4 * maxN];
void Init()
{
memset(st, 0, sizeof st);
}
void update(int id, int l, int r, int pos, int val)
{
if(l > pos || r < pos) return;
if(l == r && l == pos)
{
st[id] += val;
return;
}
int mid = (l + r) / 2;
update(id * 2, l, mid, pos, val);
update(id * 2 + 1, mid + 1, r, pos, val);
st[id] = st[id * 2] + st[id * 2 + 1];
}
int get(int id, int l, int r, int u, int v)
{
if(l > v || r < u) return 0;
if(l >= u && r <= v) return st[id];
int mid = (l + r) / 2;
return get(id * 2, l, mid, u, v) + get(id * 2 + 1, mid + 1, r, u, v);
}
} tree1, tree2;
void dfs(int u)
{
sz[u] = 1;
for(int v : adj[u])
{
if(v == p[u]) continue;
p[v] = u;
depth[v] = depth[u] + 1;
dfs(v);
sz[u] += sz[v];
}
}
void HLD(int u)
{
if(!chainhead[nChain]) chainhead[nChain] = u;
chainid[u] = nChain;
timein[u] = ++Time;
int bigChild = -1;
for(int v : adj[u])
{
if(v == p[u]) continue;
if(bigChild == -1 || sz[bigChild] < sz[v]) bigChild = v;
}
if(bigChild != -1) HLD(bigChild);
for(int v : adj[u])
{
if(v == p[u] || v == bigChild) continue;
nChain++;
HLD(v);
}
}
int LCA(int u, int v)
{
while(chainhead[chainid[u]] != chainhead[chainid[v]])
{
if(depth[chainhead[chainid[u]]] < depth[chainhead[chainid[v]]]) swap(u, v);
u = p[chainhead[chainid[u]]];
}
if(depth[u] > depth[v]) swap(u, v);
return u;
}
int Query(int u, int v)
{
int res = 0;
while(chainhead[chainid[u]] != chainhead[chainid[v]])
{
if(depth[chainhead[chainid[u]]] < depth[chainhead[chainid[v]]]) swap(u, v);
res += tree1.get(1, 1, n, timein[chainhead[chainid[u]]], timein[u]);
u = p[chainhead[chainid[u]]];
}
if(depth[u] > depth[v]) swap(u, v);
res += tree1.get(1, 1, n, timein[u], timein[v]);
return res;
}
int Query1(int u, int v)
{
int res = 0;
while(chainhead[chainid[u]] != chainhead[chainid[v]])
{
if(depth[chainhead[chainid[u]]] < depth[chainhead[chainid[v]]]) swap(u, v);
res += tree2.get(1, 1, n, timein[chainhead[chainid[u]]], timein[u]);
u = p[chainhead[chainid[u]]];
}
if(depth[u] > depth[v]) swap(u, v);
res += tree2.get(1, 1, n, timein[u], timein[v]);
return res;
}
void ReadInput()
{
cin >> n;
for(int i=1; i<n; i++)
{
int u, v;
cin >> u >> v;
adj[u].pb(v);
adj[v].pb(u);
}
cin >> m;
for(int i=1; i<=m; i++)
{
cin >> a[i].s >> a[i].t >> a[i].w;
}
}
void DFS(int u)
{
int sum = 0;
for(int v : adj[u])
{
if(v == p[u]) continue;
DFS(v);
sum += f[v];
}
f[u] = sum;
for(int v : adj[u])
{
if(v == p[u]) continue;
tree1.update(1, 1, n, timein[u], f[v]);
}
for(TPath a : vc[u])
{
f[u] = max(f[u], Query(a.s, a.t) - Query1(a.s, a.t) + a.w);
}
tree2.update(1, 1, n, timein[u], f[u]);
}
void Solve()
{
dfs(1);
HLD(1);
tree1.Init();
tree2.Init();
for(int i=1; i<=m; i++)
vc[LCA(a[i].s, a[i].t)].pb(a[i]);
DFS(1);
cout << f[1];
}
int32_t main()
{
//freopen("x.inp", "r", stdin);
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
ReadInput();
Solve();
}
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