This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/**
* author: wxhtzdy
* created: 01.07.2022 14:47:42
**/
#include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(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<vector<long long>> dp(n, vector<long long>(2));
function<void(int, int, int)> Dfs = [&](int v, int pr, int up) {
vector<long long> f;
long long ft = 0;
for (auto& p : g[v]) {
int u = p.first;
int w = p.second;
if (u == pr) {
continue;
}
Dfs(u, v, w);
ft += dp[u][1];
f.push_back(w + dp[u][0] - dp[u][1]);
}
dp[v][0] = ft;
for (int it = 0; it < 2; it++) {
sort(f.rbegin(), f.rend());
long long s = 0;
for (int i = 0; i + 1 < (int) f.size() && i < 2; i += 2) {
s += f[i] + f[i + 1];
dp[v][it] = max(dp[v][it], ft + s);
}
f.push_back(up);
}
};
Dfs(0, 0, 0);
cout << dp[0][0] << '\n';
return 0;
}
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