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>
#include <iostream>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<ll,null_type,less_equal<ll>,rb_tree_tag,tree_order_statistics_node_update> order_set;
mt19937 mt_rand(chrono::high_resolution_clock::now().time_since_epoch().count());
//uniform_int_distribution<int> gen; ///(min, max)
//int random() {return gen(mt_rand);}
const int mxN=3e5+5;
const int mod=998244353;
const int mxlogN=20;
const int mxK=26;
const int inf=2e9;
const int K=600;
vector<int> adj[mxN];
int up[mxlogN][mxN], down[mxN], in[mxN], out[mxN], timer_;
vector<int> who[mxN];
void dfs(int i=1, int p=1, int d=0)
{
up[0][i]=p, down[i]=d, in[i]=timer_++;
who[d].push_back(i);
for(int j=1; j<mxlogN; j++) up[j][i]=up[j-1][up[j-1][i]];
for(int j:adj[i]) if(j!=p) dfs(j,i,d+1);
out[i]=timer_;
}
int goup(int i, int k)
{
for(int j=mxlogN-1; j>=0; j--) if(k&1<<j) i=up[j][i];
return i;
}
int lca(int i, int j)
{
if(down[i]<down[j]) swap(i,j);
i=goup(i, down[i]-down[j]);
if(i==j) return i;
for(int k=mxlogN-1; k>=0; k--) if(up[k][i]!=up[k][j]) i=up[k][i], j=up[k][j];
return up[0][i];
}
int sz;
void build(int n)
{
sz=1;
while(sz<n) sz<<=1;
}
ll sum[mxN];
void add(int l, int r, ll v, int i=0, int Lx=0, int Rx=sz)
{
if(Rx<=l || Lx>=r) return;
if(Lx>=l && Rx<=r)
{
sum[i]+=v;
return;
}
int m=(Rx+Lx)/2;
add(l,r,v,i*2+1,Lx,m);
add(l,r,v,i*2+2,m,Rx);
}
ll dp2(int pos, int i=0, int Lx=0, int Rx=sz)
{
if(Rx-Lx==1) return sum[i];
int m=(Rx+Lx)/2;
if(pos<m) return sum[i]+dp2(pos,i*2+1,Lx,m);
else return sum[i]+dp2(pos,i*2+2,m,Rx);
}
struct qry
{
int a,b,c;
};
vector<qry> qs[mxN];
int dp[mxN];
void solve(int i)
{
int p=up[0][i];
int ans=0;
for(int j:adj[i])
{
if(j==p) continue;
ans+=dp[j];
}
int ans2=ans;
for(auto q:qs[i])
{
int a=q.a,b=q.b,c=q.c;
int newans=dp2(in[a])+dp2(in[b])+c+ans;
if(a!=i) newans-=dp[goup(a,down[a]-down[i]-1)];
if(b!=i) newans-=dp[goup(b,down[b]-down[i]-1)];
ans2=max(ans2,newans);
}
dp[i]=ans2;
for(int j:adj[i])
{
if(j==p) continue;
ans-=dp[j];
add(in[j],out[j],ans);
ans+=dp[j];
}
add(in[i],in[i]+1,ans);
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int n; cin >> n;
build(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();
int m; cin >> m;
for(int i=0; i<m; i++)
{
int a,b,c; cin >> a >> b >> c;
qs[lca(a,b)].push_back({a,b,c});
}
for(int d=n-1; d>=0; d--) for(int i:who[d]) solve(i);
cout << dp[1] << "\n";
}
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