This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pll;
#define fastio ios::sync_with_stdio(false), cin.tie(0)
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define lowbit(x) x&-x
const int N = 998244353;
const int INF = 1e9;
const int maxn = 2005;
int a[maxn][maxn];
int main(void){
fastio;
int h, w;
cin>>h>>w;
int mn = INF, mx = 0;
for(int i = 0; i < h; i++){
for(int j = 0; j < w; j++){
cin>>a[i][j];
mn = min(mn, a[i][j]);
mx = max(mx, a[i][j]);
}
}
int ng = 0, ok = INF;
while(ng + 1 < ok){
int m = (ng + ok) / 2;
int bad = 0;
// vector<int> dp(5, 1); // [0] -> none, [1] -> down, [2] -> up, [3] -> full, [4] -> finished
for(int j = 0; j < w; j++){
int mngiv = INF, mxgiv = 0, mnget = INF, mxget = 0;
for(int i = 0; i < h; i++){
if(a[i][j] > mn + m) mnget = min(mnget, i), mxget = max(mxget, i);
if(a[i][j] < mx - m) mngiv = min(mngiv, i), mxgiv = max(mxgiv, i);
}
for(int i = 0; i < h; i++){
if(a[i][j] > mn + m){
if(i > mngiv && i < mxgiv) bad = 1;
}
if(a[i][j] < mx - m){
if(i > mnget && i < mxget) bad = 1;
}
}
if(bad) break;
}
int type = 0;
for(int j = 0; j < w; j++){
int give = 0, get = 0;
for(int i = 0; i < h; i++){
if(a[i][j] > mn + m) {
get = 1;
if(give) break;
}
if(a[i][j] < mx - m){
give = 1;
if(get){
type = 1;
break;
}
}
}
if(give && get) break;
}
// cout<<"basic : "<<bad<<"\n";
// check validity
int give = 0, get = 0, ndall = 0, ndz = 0;
for(int j = 0; j < w; j++){
if(a[0][j] > mn + m && a[h - 1][j] > mn + m && give) ndall = 1;
else if(a[0][j] < mx - m && a[h - 1][j] < mx - m && get) ndz = 1;
int c1 = 0, c2 = 0;
for(int i = 0; i < h; i++){
if(a[i][j] > mn + m){
c2 = 1, get = 1;
if(ndz) bad = 1;
if(c1 && type == 1) bad = 1;
}
if(a[i][j] < mx - m){
c1 = 1, give = 1;
if(ndall) bad = 1;
if(c2 && type == 0) bad = 1;
}
}
}
// cout<<m<<" "<<bad<<"\n";
if(bad) ng = m;
else ok = m;
}
cout<<ok<<"\n";
}
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