#include using namespace std; using LL = long long int; #define incID(i, l, r) for(int i = (l) ; i < (r); ++i) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); --i) #define incII(i, l, r) for(int i = (l) ; i <= (r); ++i) #define decII(i, l, r) for(int i = (r) ; i >= (l); --i) #define inc(i, n) incID(i, 0, n) #define dec(i, n) decID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec1(i, n) decII(i, 1, n) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define FR front() #define BA back() #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() auto setmin = [](auto & a, auto b) { return (b < a ? a = b, true : false); }; auto setmax = [](auto & a, auto b) { return (b > a ? a = b, true : false); }; auto setmineq = [](auto & a, auto b) { return (b <= a ? a = b, true : false); }; auto setmaxeq = [](auto & a, auto b) { return (b >= a ? a = b, true : false); }; #define SI(v) static_cast(v.size()) #define RF(e, v) for(auto & e: v) #define until(e) while(! (e)) #define if_not(e) if(! (e)) #define ef else if #define UR assert(false) #define IN(T, ...) T __VA_ARGS__; IN_(__VA_ARGS__); void IN_() { }; template void IN_(T & a, U & ... b) { cin >> a; IN_(b ...); }; template void OUT(T && a) { cout << a << endl; } template void OUT(T && a, U && ... b) { cout << a << " "; OUT(b ...); } // ---- ---- template istream & operator>>(istream & s, vector & v) { RF(e, v) { s >> e; } return s; } template ostream & operator<<(ostream & s, vector const & v) { inc(i, SI(v)) { s << (i == 0 ? "" : " ") << v[i]; } return s; } template T MV(T v) { return v; } template auto MV(T v, int a, U ... b) { return vector(a, MV(v, b ...)); } #define bit(b, i) (((b) >> (i)) & 1) #define PC __builtin_popcountll #define BL(a) (a ? 64 - __builtin_clzll(a) : 0) int main() { IN(int, n); auto v = MV(0, n, 3); cin >> v; RF(e, v) { sort(ALL(e)); } auto ok = MV(false, n, n, 3, 3); inc(i, n) { inc(j, n) { inc(k, 3) { inc(l, 3) { vector x, y; inc(m, 3) { if(m != k) { x.PB(v[i][m]); } } inc(m, 3) { if(m != l) { y.PB(v[j][m]); } } ok[i][j][k][l] = (x[0] >= y[0] && x[1] >= y[1]); } } } } auto dp = MV(0, 1 << n, n, 3); int ans = 0; inc(b, 1 << n) { inc(i, n) { if(b != 0 && bit(b, i) == 0) { continue; } inc(k, 3) { setmax(ans, dp[b][i][k]); inc(j, n) { if(bit(b, j) == 1) { continue; } inc(l, 3) { if(ok[i][j][k][l]) { setmax(dp[b | (1 << j)][j][l], dp[b][i][k] + v[j][l]); } } } } } } OUT(ans); }