#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; const ll mod = 1000000007; const ll INF = mod * mod; typedef pairP; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; typedef long double ld; typedef pair LDP; const ld eps = 1e-12; const ld pi = acos(-1.0); ll mod_pow(ll a, ll n, ll m = mod) { ll res = 1; while (n) { if (n & 1)res = res * a%m; a = a * a%m; n >>= 1; } return res; } struct modint { ll n; modint() :n(0) { ; } modint(ll m) :n(m) { if (n >= mod)n %= mod; else if (n < 0)n = (n%mod + mod) % mod; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } modint operator+=(modint &a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; } modint operator-=(modint &a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; } modint operator*=(modint &a, modint b) { a.n = ((ll)a.n*b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, int n) { if (n == 0)return modint(1); modint res = (a*a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p%a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } const int max_n = 1<<18; modint fact[max_n], factinv[max_n]; void init_f() { fact[0] = modint(1); for (int i = 0; i < max_n - 1; i++) { fact[i + 1] = fact[i] * modint(i + 1); } factinv[max_n - 1] = modint(1) / fact[max_n - 1]; for (int i = max_n - 2; i >= 0; i--) { factinv[i] = factinv[i + 1] * modint(i + 1); } } modint comb(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[b] * factinv[a - b]; } int dx[4] = { 0,1,0,-1 }; int dy[4] = { 1,0,-1,0 }; ll gcd(ll a, ll b) { if (a < b)swap(a, b); while (b) { ll r = a % b; a = b; b = r; } return a; } map dp[1 << 16]; void solve() { int n; cin >> n; vector a(n), b(n), c(n); vector xs; rep(i, n) { cin >> a[i] >> b[i] >> c[i]; xs.push_back(a[i]); xs.push_back(b[i]); xs.push_back(c[i]); } sort(all(xs)); xs.erase(unique(all(xs)), xs.end()); map mp; rep(i, xs.size())mp[xs[i]] = i; vector> vs(n); rep(i, n) { a[i] = mp[a[i]]; b[i] = mp[b[i]]; c[i] = mp[c[i]]; vs[i] = { a[i],b[i],c[i] }; sort(all(vs[i])); } int len = xs.size(); dp[0][{len - 1, len - 1}] = 0; vector v; int ans = 0; rep(i, (1 << n)){ for (pair p : dp[i]) { rep(t, n) { if (i&(1 << t))continue; int ni = i ^ (1 << t); v = vs[t]; do { if (v[0] <= p.first.first && v[1] <= p.first.second && v[0] >= v[1]) { dp[ni][{v[0], v[1]}] = max(dp[ni][{v[0], v[1]}], p.second + xs[v[2]]); } } while (next_permutation(all(v))); } ans = max(ans, p.second); } } cout << ans << "\n"; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(7); init_f(); //init(); //experi(); //int t; cin >> t; rep(i, t)solve(); solve(); stop return 0; }