#include #include #include #include #include #include #define repeat(i,n) for (int i = 0; (i) < int(n); ++(i)) #define repeat_from(i,m,n) for (int i = (m); (i) < int(n); ++(i)) #define all(x) begin(x), end(x) using namespace std; template inline void setmax(T & a, T const & b) { a = max(a, b); } constexpr int max_n = 24; int n; array, max_n> f; array used; int result = 0; int upper_bound(int i, int score) { repeat_from (j, i, n) if (not used[j]) { int acc = 0; repeat_from (k, i, n) if (not used[k]) { setmax(acc, f[j][k]); } score += (acc + 1) / 2; } return score; } void go(int i, int score) { if (i == n) { setmax(result, score); return; } if (used[i]) { go(i+1, score); return; } if (upper_bound(i, score) <= result) { return; } repeat_from (j, i+1, n) if (not used[j]) { used[j] = true; go(i+1, score + f[i][j]); used[j] = false; } } int main() { scanf("%d", &n); assert (n <= max_n); repeat (y, n) repeat (x, n) scanf("%d", &f[y][x]); { vector tr(n); iota(all(tr), 0); sort(all(tr), [&](int i, int j) { return accumulate(all(f[i]), 0) > accumulate(all(f[j]), 0); }); auto prv = f; repeat (y, n) repeat (x, n) f[tr[y]][tr[x]] = prv[y][x]; } go(0, 0); printf("%d\n", result); return 0; }