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 int long long
#define fi first
#define se second
#define pb push_back
using namespace std;
typedef pair<int, int> pii;
const int N = 2e5 + 5;
vector<pii> G[N];
int dp[N][2], W[N];
void dfs(int v, int p = -1){
int ttl = 0;
vector<int> ws;
for(pii pa : G[v]){
int i = pa.fi, w = pa.se;
if(i == p) continue;
W[i] = w;
dfs(i, v);
ws.push_back(w + dp[i][0] - dp[i][1]);
ttl += dp[i][1];
}
sort(ws.begin(), ws.end(), greater<>());
dp[v][0] = ttl;
if(p != -1 && ws.size() >= 1) dp[v][1] = ttl + W[v] + ws[0];
if(ws.size() >= 2) dp[v][0] = max(dp[v][0], ttl + ws[0] + ws[1]);
dp[v][1] = max(dp[v][0], dp[v][1]);
}
int32_t main(){
int n;
cin >> n;
for(int i = 0; i < n - 1; i++){
int u, v, we;
cin >> u >> v >> we;
G[u].pb({v, we});
G[v].pb({u, we});
}
dfs(1);
// for(int i = 1; i <= n; i++){
// cout << i << ": " << dp[i][0] << ' ' << dp[i][1] << endl;
// }
cout << max(dp[1][0], dp[1][1]) << endl;
}
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