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>
#define ll long long
#define MAXN 100010
#define logn 19
using namespace std;
vector<ll> G[MAXN],V[MAXN];
ll up[MAXN][logn],in[MAXN],out[MAXN],t=1,D[MAXN],a[MAXN],b[MAXN],c[MAXN],dp[MAXN][2];
void DFS_1(ll i,ll p)
{
up[i][0]=p;
in[i]=t;
D[i]=D[p]+1;
t++;
for (ll j=1;j<logn;j++)
up[i][j]=up[up[i][j-1]][j-1];
for (ll next : G[i])
{
if (next!=p)
DFS_1(next,i);
}
out[i]=t;
t++;
}
bool Is_Ancestor(ll u,ll v)
{
return (in[u]<=in[v] && out[u]>=out[v]);
}
ll LCA(ll u,ll v)
{
if (Is_Ancestor(u,v))
return u;
if (Is_Ancestor(v,u))
return v;
for (ll i=logn-1;i>=0;i--)
{
if (!Is_Ancestor(up[u][i],v))
u=up[u][i];
}
return up[u][0];
}
struct bit
{
vector<ll> B;
void Init()
{
B.resize(t+2);
}
void Add(ll val,ll pos)
{
for (ll i=pos;i<t+2;i+=i&(-i))
B[i]+=val;
}
ll Sum(ll pos)
{
ll ans=0;
for (ll i=pos;i>0;i-=i&(-i))
ans+=B[i];
return ans;
}
ll Calc(ll l,ll r)
{
return Sum(r)-Sum(l-1);
}
};
bit B0,B1;
void DFS_2(ll i,ll p)
{
for (ll next : G[i])
{
if (next!=p)
{
DFS_2(next,i);
dp[i][0]+=max(dp[next][0],dp[next][1]);
}
}
B0.Add(dp[i][0],in[i]);
B0.Add(-dp[i][0],out[i]);
for (auto j : V[i])
{
dp[i][1]=max(dp[i][1],c[j]+B0.Calc(in[i],in[a[j]])+B0.Calc(in[i],in[b[j]])-dp[i][0]-B1.Calc(in[i]+1,in[a[j]])-B1.Calc(in[i]+1,in[b[j]]));
}
B1.Add(max(dp[i][0],dp[i][1]),in[i]);
B1.Add(-max(dp[i][0],dp[i][1]),out[i]);
}
int main()
{
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
ll n,m,x,y;
cin >> n;
for (ll i=1;i<n;i++)
{
cin >> x >> y;
G[x].push_back(y);
G[y].push_back(x);
}
DFS_1(1,1);
cin >> m;
for (ll i=1;i<=m;i++)
{
cin >> a[i] >> b[i] >> c[i];
V[LCA(a[i],b[i])].push_back(i);
}
B0.Init();
B1.Init();
DFS_2(1,1);
cout << max(dp[1][1],dp[1][0]);
return 0;
}
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