#include #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto &i:a) #define all(x) (x).begin(),(x).end() //#pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60; templatebool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } templatebool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } //--------------------------------------------------------------------------------------------------- /*---------------------------------------------------------------------------------------------------             ∧_∧       ∧_∧  (´<_` )  Welcome to My Coding Space!      ( ´_ゝ`) /  ⌒i @hamayanhamayan0     /   \    | |     /   / ̄ ̄ ̄ ̄/  |   __(__ニつ/  _/ .| .|____      \/____/ (u ⊃ ---------------------------------------------------------------------------------------------------*/ int N, ABC[16][3]; int dp[1 << 16][16][3]; bool ok[16][3][16][3]; //--------------------------------------------------------------------------------------------------- void _main() { cin >> N; rep(i, 0, N) rep(j, 0, 3) cin >> ABC[i][j]; rep(lst, 0, N) rep(hei, 0, 3) rep(nxt, 0, N) rep(hei2, 0, 3) { vector v1; rep(j, 0, 3) if (hei != j) v1.push_back(ABC[lst][j]); sort(all(v1)); vector v2; rep(j, 0, 3) if (hei2 != j) v2.push_back(ABC[nxt][j]); sort(all(v2)); if (v2[0] <= v1[0] && v2[1] <= v1[1]) ok[lst][hei][nxt][hei2] = true; if (v2[1] <= v1[0] && v2[0] <= v1[1]) ok[lst][hei][nxt][hei2] = true; } rep(msk, 0, 1 << N) rep(lst, 0, N) rep(hei, 0, 3) dp[msk][lst][hei] = -1; rep(lst, 0, N) rep(hei, 0, 3) dp[1 << lst][lst][hei] = ABC[lst][hei]; rep(msk, 0, 1 << N) rep(lst, 0, N) rep(hei, 0, 3) if (0 <= dp[msk][lst][hei]) { rep(nxt, 0, N) if (!(msk & (1 << nxt))) rep(hei2, 0, 3) { if (ok[lst][hei][nxt][hei2]) { int msk2 = msk | (1 << nxt); chmax(dp[msk2][nxt][hei2], dp[msk][lst][hei] + ABC[nxt][hei2]); } } } int ans = -1; rep(msk, 0, 1 << N) rep(lst, 0, N) rep(hei, 0, 3) chmax(ans, dp[msk][lst][hei]); cout << ans << endl; }