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>
#define pii pair<int, int>
#define f first
#define s second
#define pb push_back
#define mp make_pair
#define ll long long
#define ld long double
#define sz(v) int(v.size())
#define all(v) v.begin(), v.end()
using namespace std;
const int N = (int) 2e5 + 7;
const int M = (int) 2e6 + 7;
const ll LINF = (ll) 1e16;
const int INF = (int) 1e9 + 7;
const double EPS = (double) 1e-9;
int n;
struct edge {
int a, b, c;
edge() {}
};
edge a[N];
vector<int> v[N];
ll dp[N];
void calc(int x, int p = -1) {
vector<pii> vv;
for (auto ii : v[x]) {
int it = a[ii].a ^ a[ii].b ^ x;
if (it == p) continue;
calc(it, x);
vv.pb(mp(it, a[ii].c));
}
for (int i = 0; i < sz(vv); i++) {
for (int j = i + 1; j < sz(vv); j++) {
ll sum = dp[vv[i].f] + dp[vv[j].f] + vv[i].s + vv[j].s;
for (int k = 0; k < sz(vv); k++) {
if (i == k || j == k) continue;
sum += dp[vv[k].f];
}
dp[x] = max(dp[x], sum);
}
}
}
int main() {
#define fn "balls"
#ifdef witch
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#else
// freopen(fn".in", "r", stdin);
// freopen(fn".out", "w", stdout);
#endif
cin >> n;
for (int i = 0; i < n - 1; i++) {
cin >> a[i].a >> a[i].b >> a[i].c;
v[a[i].a].pb(i);
v[a[i].b].pb(i);
}
ll ans = 0;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
dp[j] = 0;
}
calc(i);
for (int j = 1; j <= n; j++) {
ans = max(ans, dp[j]);
}
}
cout << ans;
return 0;
}
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