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>
using namespace std;
#define FAST_IO ios_base::sync_with_stdio(0); cin.tie(nullptr)
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define REP(n) FOR(O, 1, (n))
#define f first
#define s second
#define pb push_back
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> pii;
typedef long double ld;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int MAXN = 200100;
const ll INF = 1e16;
int n;
vector<pair<int, ll>> adj[MAXN];
ll dp[MAXN][2][2], mx[MAXN];
void dfs (int v, int p, ll pw = -1) {
ll mx1 = -INF, mx2 = -INF;
for (auto e : adj[v]) {
int u = e.f;
ll w = e.s;
if (u == p) continue;
dfs (u, v, w);
dp[v][0][0] += mx[u];
dp[v][1][0] += mx[u];
dp[v][1][1] += mx[u];
ll cr = w;
if (mx[u] == dp[u][1][1])
cr = cr - mx[u] + max(dp[u][1][0], dp[u][0][0]);
if (cr > mx2) swap(cr, mx2);
if (mx2 > mx1) swap(mx2, mx1);
}
if (p != -1 && mx1 != -INF) {
dp[v][1][1] += pw + mx1;
}
if (mx2 != -INF) {
dp[v][1][0] += mx2 + mx1;
}
FOR(a, 0, 1) FOR(b, 0, 1) mx[v] = max(mx[v], dp[v][a][b]);
}
int main()
{
FAST_IO;
cin >> n;
REP(n-1) {
int u, v;
ll w;
cin >> u >> v >> w;
adj[u].pb({v, w});
adj[v].pb({u, w});
}
dfs(1, -1);
cout << mx[1] << "\n";
return 0;
}
/*
5
1 2 10
1 3 40
1 4 15
1 5 20
10
4 10 2
1 2 21
1 3 13
6 7 1
7 9 5
2 4 3
2 5 8
1 6 55
6 8 34
*/
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