#include // #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; // using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } int main() { ll N; cin >> N; vector A(N); vector B(N); vector C(N); for (ll i = 0; i < N; i++) { cin >> A[i] >> B[i] >> C[i]; } vector> h(N, vector(3)); for (ll i = 0; i < N; i++) { h[i][0] = A[i]; h[i][1] = B[i]; h[i][2] = C[i]; } ll INF = 100000000000023; // 既に選んだ集合が i で,最も上が j,高さとして選んだものが k 番目の辺 vector>> bitdp( 1 << N, vector>(N + 1, vector(3, -INF))); for (ll i = 0; i < N; i++) { for (ll j = 0; j < 3; j++) { bitdp[1 << i][i][j] = h[i][j]; } } for (ll i = 1; i < (1 << N); i++) { for (ll j = 0; j < N; j++) { for (ll k = 0; k < N; k++) { if ((i >> k) & 1) { continue; } for (ll l = 0; l < 3; l++) { for (ll m = 0; m < 3; m++) { ll prev_tate = INF; ll prev_yoko = -INF; ll next_tate = INF; ll next_yoko = -INF; for (ll n = 0; n < 3; n++) { if (l == n) { continue; } prev_tate = min(prev_tate, h[j][n]); prev_yoko = max(prev_yoko, h[j][n]); } for (ll n = 0; n < 3; n++) { if (m == n) { continue; } next_tate = min(next_tate, h[k][m]); next_yoko = max(next_yoko, h[k][m]); } if (next_tate <= prev_tate && next_yoko <= prev_yoko) { bitdp[i + (1 << k)][k][m] = max(bitdp[i + (1 << k)][k][m], bitdp[i][j][l] + h[k][m]); } } } } } } ll ans = 0; for (ll i = 0; i < (1 << N); i++) { for (ll j = 0; j < N; j++) { for (ll k = 0; k < 3; k++) { ans = max(ans, bitdp[i][j][k]); } } } cout << ans << endl; }