//AC解 #include #include #include int main(){ int N; std::cin >> N; std::vector A(N), B(N), C(N); for(int i = 0; i < N; ++i){ std::cin >> A[i] >> B[i] >> C[i]; } const int n = 3 * N; std::vector a(n), b(n), c(n), p(n); for(int i = 0; i < N; ++i){ if(A[i] > B[i]) a[i] = B[i], b[i] = A[i]; else a[i] = A[i], b[i] = B[i]; c[i] = C[i]; if(C[i] > A[i]) a[i + N] = A[i], b[i + N] = C[i]; else a[i + N] = C[i], b[i + N] = A[i]; c[i + N] = B[i]; if(B[i] > C[i]) a[i + 2 * N] = C[i], b[i + 2 * N] = B[i]; else a[i + 2 * N] = B[i], b[i + 2 * N] = C[i]; c[i + 2 * N] = A[i]; } for(int i = 0; i < n; ++i) p[i] = i; sort(p.begin(), p.end(), [&](int i,int j){ return a[i] == a[j] ? b[i] < b[j] : a[i] < a[j]; }); std::vector dp((1 << N) * n); for(int i : p){ dp[i] = c[i]; } int ans{0}; for(int j = 0; j < (1 << N); ++j){ const int J = j * n; for(auto i : p){ if(j & (1 << (i % N))) continue; const int DP = dp[i + J]; ans = std::max(ans, DP); const int v = j | (1 << (i % N)); const int V = v * n; for(int k = 0; k < n; ++k){ if(v & (1 << (k % N))) continue; if(a[i] > a[k] || b[i] > b[k]) continue; dp[k + V] = std::max(dp[k + V], DP + c[k]); } } } std::cout << ans << std::endl; }