#include #define all(vec) vec.begin(), vec.end() #define pb push_back #define eb emplace_back #define fi first #define se second using namespace std; using ll = long long; using P = pair; template using V = vector; constexpr ll INF = (1LL << 30) - 1LL; constexpr ll MOD = 1e9 + 7; constexpr int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}; template void chmin(T &a, T b) { a = min(a, b); } template void chmax(T &a, T b) { a = max(a, b); } void debug() { cerr << "ok" << endl; } template void printv(const vector &v) { for (int i = 0; i < v.size(); i++) cout << v[i] << (i + 1 == v.size() ? '\n' : ' '); } template void readv(vector &v) { for (int i = 0; i < v.size(); i++) cin >> v[i]; } //from http://noshi91.hatenablog.com/entry/2019/03/31/174006 template class modint { using u64 = std::uint_fast64_t; public: u64 a; constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {} constexpr u64 &value() noexcept { return a; } constexpr const u64 &value() const noexcept { return a; } constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint operator^(const u64 rhs) const noexcept { return modint(*this) ^= rhs; } constexpr modint &operator+=(const modint rhs) noexcept { a += rhs.a; if (a >= Modulus) { a -= Modulus; } return *this; } constexpr modint &operator-=(const modint rhs) noexcept { if (a < rhs.a) { a += Modulus; } a -= rhs.a; return *this; } constexpr modint &operator*=(const modint rhs) noexcept { a = a * rhs.a % Modulus; return *this; } constexpr modint &operator/=(modint rhs) noexcept { u64 exp = Modulus - 2; while (exp) { if (exp % 2) { *this *= rhs; } rhs *= rhs; exp /= 2; } return *this; } constexpr modint &operator^=(u64 exp) { modint rhs = modint(*this); a = 1; while (exp) { if (exp % 2) { *this *= rhs; } rhs *= rhs; exp /= 2; } return *this; } friend ostream &operator<<(ostream &os, const modint &x) { os << x.a; return os; } friend istream &operator>>(istream &is, modint &x) { is >> x.a; return is; } }; using mint = modint; vector f, fi; void comb(int n) { f.resize(n + 1); fi.resize(n + 1); f[0] = 1; for (ll i = 1; i <= n; i++) { f[i] = f[i - 1] * mint(i); } fi[n] = mint(1) / f[n]; for (ll i = n - 1; i >= 0; i--) { fi[i] = fi[i + 1] * mint(i + 1LL); } } mint ncr(ll n, ll r) { if (n < r) { return mint(0); } if (r == 0) { return mint(1); } return f[n] * fi[n - r] * fi[r]; } int main() { ios::sync_with_stdio(0); cin.tie(0); int n; cin >> n; V> a(n, V(3)); for (int i = 0; i < n; i++) { cin >> a[i][0] >> a[i][1] >> a[i][2]; } int id[3][2] = {{1, 2}, {2, 0}, {0, 1}}; V>> dp((1 << n), V>(n, V(3, -INF))); for (int i = 0; i < n; i++) { for (int j = 0; j < 3; j++) { dp[(1 << i)][i][j] = a[i][j]; } } int res = -INF; 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] == -INF) continue; chmax(res, dp[i][j][k]); for (int l = 0; l < n; l++) { if ((i >> l) & 1) continue; for (int m = 0; m < 3; m++) { if (a[l][id[m][0]] >= a[j][id[k][0]] && a[l][id[m][1]] >= a[j][id[k][1]]) { chmax(dp[i | (1 << l)][l][m], dp[i][j][k] + a[l][m]); } if (a[l][id[m][1]] >= a[j][id[k][0]] && a[l][id[m][0]] >= a[j][id[k][1]]) { chmax(dp[i | (1 << l)][l][m], dp[i][j][k] + a[l][m]); } } } } } } cout << res << '\n'; }