/* -*- coding: utf-8 -*- * * 2157.cc: No.2157 崖 - yukicoder */ #include #include #include #include using namespace std; /* constant */ const int MAX_N = 1500; const int MAX_M = 1500; const int INF = 1 << 30; /* typedef */ typedef pair pii; typedef deque dqpii; /* global variables */ int ds[MAX_N][MAX_M], dp[MAX_N][MAX_M]; /* subroutines */ /* main */ int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) scanf("%d", ds[i] + j); sort(ds[i], ds[i] + m); } for (int i = 1; i < n; i++) { dqpii q; for (int j0 = 0, j1 = 0; j1 < m; j1++) { while (j0 < m && ds[i - 1][j0] <= ds[i][j1]) { while (! q.empty() && q.front().first >= dp[i - 1][j0]) q.pop_back(); q.push_back(pii(dp[i - 1][j0], ds[i - 1][j0])); j0++; } dp[i][j1] = INF; if (! q.empty()) { pii u = q.front(); q.pop_front(); int ud = max(u.first, ds[i][j1] - u.second); while (! q.empty()) { pii v = q.front(); int vd = max(v.first, ds[i][j1] - v.second); if (vd < ud) { q.pop_front(); u = v, ud = vd; } else break; } q.push_front(u); dp[i][j1] = ud; } } } int mind = *min_element(dp[n - 1], dp[n - 1] + m); printf("%d\n", (mind < INF) ? mind : -1); return 0; }