/* Problem URL: https://cses.fi/problemset/task/3359 */ #include using namespace std; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; V fds(n); cin >> fds; string ans(2 * n - 1, 'Z' + 1); queue> q; V> vis(n, V(n, false)); vis[0][0] = true; q.emplace(0, 0); queue> tmp; rep(_, n * 2 - 1) { while (!q.empty()) { auto [i, j] = q.front(); q.pop(); int pos = i + j; rmin(ans[pos], fds[i][j]); tmp.emplace(i, j); } while (!tmp.empty()) { auto [i, j] = tmp.front(); tmp.pop(); if (ans[i + j] < fds[i][j]) { continue; } int add[][2] = {{0, 1}, {1, 0}}; for (auto &k : add) { int id = i + k[0]; int jd = j + k[1]; if (id < n && jd < n && !vis[id][jd]) { vis[id][jd] = true; q.emplace(id, jd); } } } } cout << ans << '\n'; }