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;
const int INF = 2e9;
int main()
{
cin.tie(0)->sync_with_stdio(0);
int n;
cin >> n;
vector<vector<pair<int, int>>> g(n);
for (int i = 0; i < n - 1; i++)
{
int u, v, w;
cin >> u >> v >> w;
u--, v--;
g[u].emplace_back(v, w);
g[v].emplace_back(u, w);
}
vector<bool> vis(n);
vector<vector<int>> dp(n, vector<int>(2, -INF));
function<void(int, int)> dfs = [&](int u, int W)
{
vis[u] = true;
int tot = 0;
vector<int> res;
for (auto &[v, w] : g[u])
{
if (!vis[v])
{
dfs(v, w);
tot += max(dp[v][0], dp[v][1]);
res.push_back(dp[v][0] + w - max(dp[v][0], dp[v][1]));
}
}
sort(begin(res), end(res), greater<>());
dp[u][0] = tot;
if (res.size() >= 2)
{
dp[u][0] = max(dp[u][0], tot + res[0] + res[1]);
}
if (res.size() >= 1)
{
dp[u][1] = tot + res[0] + W;
}
};
dfs(0, -INF);
int ans = dp[0][0];
cout << ans << '\n';
return 0;
}
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