#include using namespace std; #define rep(i,n) for(int i = 0; i < (int)(n); ++i) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) a.begin(), a.end() #define Sort(a) sort(a.begin(), a.end()) #define RSort(a) sort(a.rbegin(), a.rend()) typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef pair P; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; i++){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } template struct RangeTree{ struct BinaryIndexedTree{ int N; vector BIT; BinaryIndexedTree() {} void init(int size){ N = size; BIT.assign(N + 1, 0); } T get(int i){ return sum(i + 1) - sum(i); } void add(int i, T x){ ++i; while(i <= N){ BIT[i] += x; i += i & -i; } } T sum(int i) const { T ans = 0; while(i > 0){ ans += BIT[i]; i -= i & -i; } return ans; } T sum(int L, int R) const { return sum(R) - sum(L); } }; using P = pair; S N, M; vector bit; vector> ys; vector

ps; RangeTree() {} void add_point(S x, S y){ ps.push_back(make_pair(x, y)); } void build(){ sort(ps.begin(), ps.end()); ps.erase(unique(ps.begin(), ps.end()), ps.end()); N = ps.size(); bit.resize(N + 1); ys.resize(N + 1); for(int i = 0; i <= N; ++i){ int j = i + 1; while(j <= N){ ys[j].push_back(ps[i].second); j += j & -j; } sort(ys[i].begin(), ys[i].end()); ys[i].erase(unique(ys[i].begin(), ys[i].end()), ys[i].end()); bit[i].init(ys[i].size()); } } int id(S x) const { auto f = [](const P& a, const P& b){ return a.first < b.first; }; return lower_bound(ps.begin(), ps.end(), make_pair(x, S()), f) - ps.begin(); } int id(int i, S y) const { return lower_bound(ys[i].begin(), ys[i].end(), y) - ys[i].begin(); } void add(S x, S y, T a){ int i = lower_bound(ps.begin(), ps.end(), make_pair(x, y)) - ps.begin(); assert(ps[i] == make_pair(x, y)); ++i; while(i <= N){ bit[i].add(id(i, y), a); i += i & -i; } } T sum(S x, S y) const { T ret = T(); int a = id(x); while(a > 0){ ret += bit[a].sum(id(a, y)); a -= a & -a; } return ret; } T sum(S xl, S yl, S xr, S yr) const { T ret = T(); int a = id(xl), b = id(xr); while(a != b) { if(a < b){ ret += bit[b].sum(id(b, yl), id(b, yr)); b -= b & -b; }else{ ret -= bit[a].sum(id(a, yl), id(a, yr)); a -= a & -a; } } return ret; } }; ll n, m; vector> d; void input(){ in(n, m); d = vector>(n, vector(m)); rep(i, n) rep(j, m) in(d[i][j]); } void solve(){ rep(i, n) Sort(d[i]); ll ans = INF; ll ok = 1e9, ng = -1; while(abs(ok - ng) > 1){ ll mid = (ok + ng) / 2; RangeTree tree; rep(i, n) rep(j, m){ tree.add_point(i, d[i][j]); tree.add_point(i, d[i][j] + mid + 1); } tree.build(); ll check = 1; rep(j, m){ tree.add(0, d[0][j], 1); tree.add(0, d[0][j] + mid + 1, -1); } for(int i = 1; i < n; i++){ ll cnt = 0; rep(j, m){ if(tree.sum(i - 1, 0, i, d[i][j] + 1) >= 1){ tree.add(i, d[i][j], 1); tree.add(i, d[i][j] + mid + 1, -1); cnt++; } } if(cnt == 0){ check = 0; break; } } if(check) ok = mid; else ng = mid; } chmin(ans, ok); if(ans >= 1e9) out(-1); else out(ans); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); input(); solve(); }