This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// In the name of Allah
#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define all(x) (x).begin(),(x).end()
#define len(x) ((ll) (x).size())
#define F first
#define S second
#define pb push_back
#define sep ' '
#define endl '\n'
#define Mp make_pair
#define debug(x) cerr << #x << ": " << x << endl;
#define kill(x) cout << x << '\n', exit(0);
#define set_dec(x) cout << fixed << setprecision(x);
#define file_io(x,y) freopen(x, "r", stdin); freopen(y, "w", stdout);
int n;
const int maxn = 2e5 + 5;
const int oo = 1e9;
vector<pll> adj[maxn];
ll dp[maxn][3];
bool mark[maxn];
void dfs(int v, ll x = -1) {
mark[v] = 1;
vector<ll> ls1, ls2;
ll res1 = 0, res2 = 0;
for (auto f : adj[v]) {
int u = f.F; ll w = f.S;
if (!mark[u]) {
dfs(u, w);
res1 += max(dp[u][1], dp[u][2]); res2 += max(dp[u][1], dp[u][2]);
dp[v][1] += max(dp[u][1], dp[u][2]);
dp[v][2] += max(dp[u][1], dp[u][2]);
ls1.pb((max(dp[u][0], dp[u][1]) + w) - max(dp[u][1], dp[u][2]));
ls2.pb(dp[u][0] - max(dp[u][1], dp[u][2]));
}
}
sort(all(ls1), greater<ll>()); sort(all(ls2), greater<ll>());
if (len(ls1) >= 2) res1 += (ls1[0] + ls1[1]);
else res1 = 0;
if (len(ls2) >= 1) res2 += ls2[0];
else res2 = 0;
dp[v][0] = max(res1, res2);
if (len(ls1) >= 1 && x != -1) dp[v][2] += (x + ls1[0]);
else dp[v][2] = 0;
ls1.clear(); ls2.clear();
}
int main() {
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> n;
for (int i = 0; i < n - 1; i++) {
int u, v; ll w;
cin >> u >> v >> w; u--; v--;
adj[u].pb(Mp(v, w)); adj[v].pb(Mp(u, w));
}
dfs(0);
cout << max(dp[0][0], dp[0][1]) << endl;
return 0;
}
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