#include using namespace std; #ifdef LOCAL #include "debug.h" #else #define DEBUG(...) #endif template constexpr T inf = numeric_limits::max() / 2.1; auto chmax = [](auto&& a, auto b) { return a < b ? a = b, 1 : 0; }; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n; cin >> n; vector> a(n); for (int i = 0; i < n; ++i) { cin >> a[i][0] >> a[i][1] >> a[i][2]; } array p{0, 1, 2}; vector> ps; do { ps.push_back(p); } while (next_permutation(begin(p), end(p))); map, int> mp; for (int t = 0; t < 6; ++t) { mp[ps[t]] = t; } vector dp(1 << n, vector(n, vector(6, -inf))); for (int i = 0; i < n; ++i) { for (int t = 0; t < 6; ++t) { dp[1 << i][i][t] = a[i][ps[t][2]]; } } for (int bt = 1; bt < 1 << n; ++bt) { for (int i = 0; i < n; ++i) { if (~bt >> i & 1) continue; for (int t = 0; t < 6; ++t) { for (int j = 0; j < n; ++j) { if (bt >> j & 1) continue; for (int nt = 0; nt < 6; ++nt) { if (a[j][ps[nt][0]] > a[i][ps[t][0]]) continue; if (a[j][ps[nt][1]] > a[i][ps[t][1]]) continue; chmax(dp[bt | 1 << j][j][nt], dp[bt][i][t] + a[j][ps[nt][2]]); } } } } } int res = -inf; for (int bt = 0; bt < 1 << n; ++bt) { for (int i = 0; i < n; ++i) { for (int t = 0; t < 6; ++t) { chmax(res, dp[bt][i][t]); } } } cout << res << '\n'; }