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];
ll dp[N];
bool ok(int mask, edge x, edge y) {
if (x.a == y.a || x.a == y.b) {
bool bad = 0;
for (int i = 0; i < n - 1; i++) {
if ((mask >> i) % 2 && (a[i].a == x.a || a[i].b == x.a)) {
bad = 1;
}
}
if (!bad) return true;
}
if (x.b == y.a || x.b == y.b) {
bool bad = 0;
for (int i = 0; i < n - 1; i++) {
if ((mask >> i) % 2 && (a[i].a == x.b || a[i].b == x.b)) {
bad = 1;
}
}
if (!bad) return true;
}
return false;
}
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;
}
for (int mask = 0; mask < (1 << (n - 1)); mask++) {
dp[mask] = -LINF;
}
dp[0] = 0;
for (int mask = 0; mask < (1 << (n - 1)); mask++) {
for (int i = 0; i < n - 1; i++) {
if ((mask >> i) % 2) continue;
dp[mask | (1 << i)] = max(dp[mask | (1 << i)], dp[mask]);
for (int j = 0; j < n - 1; j++) {
if ((mask >> j) % 2 || i == j)
continue;
if (ok(mask, a[i], a[j])) {
ll &tmp = dp[mask | (1 << i) | (1 << j)];
tmp = max(tmp, dp[mask] + a[i].c + a[j].c);
}
}
}
}
cout << dp[(1 << (n - 1)) - 1];
return 0;
}
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