#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(decltype(n) i=0; i<(n); i++) #define rrep(i,n) for(decltype(n) i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(decltype(a) i=(a); i<(b); i++) #define RFOR(i,a,b) for(decltype(b) i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; in(n); int a[n][3]; rep(i,n) in(a[i][0], a[i][1], a[i][2]); int dp[(1 << n)][n][3]; rep(i,(1 << n))rep(j,n)rep(k,3) dp[i][j][k] = 0; rep(i,n)rep(j,3) dp[1 << i][i][j] = a[i][j]; FOR(i, 1, (1 << n))rep(j,n)rep(k,3){ if(dp[i][j][k] == 0) continue; if(!((i >> j) & 1)) continue; int nowx = 1e9, nowy = 0; rep(l,3){ if(k == l) continue; chmin(nowx, a[j][l]); chmax(nowy, a[j][l]); } rep(l,n){ if((i >> l) & 1) continue; rep(m,3){ int x = 1e9, y = 0; rep(r,3){ if(r == m) continue; chmin(x, a[l][r]); chmax(y, a[l][r]); } if(x <= nowx && y <= nowy){ int tmp = dp[i][j][k] + a[l][m]; chmax(dp[i | (1 << l)][l][m], tmp); } } } } int ans = 0; rep(i,(1 << n))rep(j,n)rep(k,3) chmax(ans, dp[i][j][k]); out(ans); }