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>
#pragma GCC target("sse,sse2,avx2")
#pragma GCC optimize("unroll-loops,O2")
#define rep(i,l,r) for (int i = l; i < r; i++)
#define repr(i,r,l) for (int i = r; i >= l; i--)
#define X first
#define Y second
#define all(x) (x).begin() , (x).end()
#define pb push_back
#define endl '\n'
#define debug(x) cerr << #x << " : " << x << endl;
using namespace std;
typedef long long ll;
typedef pair<int,int> pll;
constexpr int N = 2e5+10,mod = 1e9+7,maxm = 210;
constexpr ll inf = 1e9+10;
inline int mkay(int a,int b){
if (a+b >= mod) return a+b-mod;
// if (a+b < 0) return a+b+mod;
return a+b;
}
inline int poww(int a,int k){
if (k < 0) return 0;
int z = 1;
while (k){
if (k&1) z = 1ll*z*a%mod;
a = 1ll*a*a%mod;
k >>= 1;
}
return z;
}
vector<pll> adj[N];
ll dp[N][2];
void dfs(int v,int p){
if ((int) adj[v].size() == 1){
dp[v][1] = -20ll*inf;
dp[v][0] = 0;
return;
}
vector<int> ve;
int s = 0;
for (auto [u,w] : adj[v]){
if (u == p) continue;
dfs(u,v);
int val = max(dp[u][0],dp[u][1]+w);
s += val;
ve.pb(dp[u][0]-val+w);
}
sort(all(ve));
int sz = ve.size();
dp[v][0] = s;
if (sz > 1 && ve[sz-1]+ve[sz-2] > 0) dp[v][0] += ve[sz-1]+ve[sz-2];
dp[v][1] = s + ve.back();
}
int main(){
ios :: sync_with_stdio(0); cin.tie(0);
int n;
cin >> n;
rep(i,1,n){
int u,v,w;
cin >> u >> v >> w;
adj[u].pb({v,w});
adj[v].pb({u,w});
}
if (n <= 2){
cout << 0 << endl;
return 0;
}
int r = 1;
rep(i,2,n+1) if ((int) adj[i].size() > 1) r = i;
dfs(r,0);
cout << dp[r][0];
}
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