#include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = long long; using u32 = unsigned; using u64 = unsigned long long; using namespace std; template constexpr T INF = ::numeric_limits::max()/32*15+208; template vector make_v(U size, const T& init){ return vector(static_cast(size), init); } template auto make_v(U size, Ts... rest) { return vector(static_cast(size), make_v(rest...)); } template void chmin(T &a, const T &b){ a = (a < b ? a : b); } template void chmax(T &a, const T &b){ a = (a > b ? a : b); } int main() { int n; cin >> n; vector> A(n); for (int i = 0; i < n; ++i) { for (int j = 0; j < 3; ++j) { cin >> A[i][j]; } } auto dp = make_v(1 << n, n, 3, 0); auto dp0 = make_v(n, n, 3, 3, 0); for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { if(i == j) continue; for (int k = 0; k < 3; ++k) { for (int l = 0; l < 3; ++l) { vector tmp1, tmp2; for (int m = 0; m < 3; ++m) { if(k != m) tmp1.emplace_back(A[i][m]); if(l != m) tmp2.emplace_back(A[j][m]); } if(tmp1[0] <= tmp2[0] && tmp1[1] <= tmp2[1]) chmax(dp0[i][j][k][l], A[j][l]); if(tmp1[0] <= tmp2[1] && tmp1[1] <= tmp2[0]) chmax(dp0[i][j][k][l], A[j][l]); } } } } for (int i = 0; i < n; ++i) { for (int j = 0; j < 3; ++j) { dp[1 << i][i][j] = A[i][j]; } } int ans = 0; for (int i = 0; i < (1 << n); ++i) { for (int j = 0; j < n; ++j) { for (int k = 0; k < 3; ++k) { if(dp[i][j][k]){ chmax(ans, dp[i][j][k]); for (int l = 0; l < n; ++l) { if(!(i & (1 << l))){ for (int m = 0; m < 3; ++m) { if(dp0[j][l][k][m]){ chmax(dp[i^(1 << l)][l][m], dp[i][j][k]+dp0[j][l][k][m]); } } } } } } } } cout << ans << "\n"; return 0; }