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 fi first
#define se second
using namespace std;
typedef long long ll;
typedef double db;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<db,db> pdb;
typedef tuple<int,int,int> tii;
typedef vector<vector<ll>> mat;
const ll mod=1e9+7;
const int N=2e5+5;
int n,ans,dp1[N],dp2[N],dp3[N],dp4[N],val[N];
vector<pii> g[N];
//dp1 : 없/끝, dp2 : 없/부모로, dp3 : 있/끝, dp4 : 있/부모로
void dfs(int x,int p){
vector<int> v;
dp2[x]=dp3[x]=dp4[x]=-1e9;
int s=0;
for(auto &it : g[x]) if(it.fi!=p){
int u=it.fi,c=it.se;
dfs(u,x);
val[u]=max(dp1[u],dp2[u]+c);
dp1[x]+=max(dp1[u],dp2[u]+c);
v.emplace_back(dp1[u]-val[u]+c);
s+=val[u];
}
sort(v.begin(),v.end()); reverse(v.begin(),v.end());
for(auto &it : g[x]) if(it.fi!=p){
int u=it.fi,c=it.se;
dp2[x]=max(dp2[x],dp1[x]-val[u]+dp1[u]+c);
dp3[x]=max(dp3[x],dp1[x]-val[u]+max(dp3[u],dp4[u]+c));
dp4[x]=max(dp4[x],dp1[x]-val[u]+dp3[u]+c);
}
if(v.size()>=2){
for(auto &it : g[x]) if(it.fi!=p){
int u=it.fi,c=it.se;
if(dp1[u]-val[u]+c==v[0]) dp3[x]=max(dp3[x],dp1[x]-val[u]+max(dp1[u],dp3[u])+c+v[1]);
else dp3[x]=max(dp3[x],dp1[x]-val[u]+max(dp1[u],dp3[u])+c+v[0]);
}
}
//cout<<x<<" : "<<dp1[x]<<" "<<dp2[x]<<" "<<dp3[x]<<" "<<dp4[x]<<"\n";
}
int main(){
ios::sync_with_stdio(false); cin.tie(0);
cin>>n; int s=0;
for(int u,v,c,i=1;i<n;i++){
cin>>u>>v>>c;
s+=c;
g[u].emplace_back(v,c);
g[v].emplace_back(u,c);
}
dfs(1,0);
cout<<max(dp1[1],dp3[1]);
return 0;
}
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