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;
#define all(v) v.begin(), v.end()
typedef long long ll;
const int NMAX = 2005;
struct p{
int x, y, d, f;
bool operator<(const p & t)const{return d > t.d;}
};
int h, w, a[NMAX][NMAX], ans, mx, mn, L[NMAX], R[NMAX], b[NMAX][NMAX];
vector<p> v;
void rotate(){
for(int i = 1; i <= h; i++)
for(int j = 1; j <= w; j++)
b[j][h + 1 - i] = a[i][j];
swap(w, h);
for(int i = 1; i <= h; i++)
for(int j = 1; j <= w; j++) a[i][j] = b[i][j];
return;
}
int solve(){
v.clear();
memset(R, 0x3f, sizeof(R));
memset(L, 0, sizeof(L));
for(int i = 1; i <= h; i++)
for(int j = 1; j <= w; j++) {
int d = max(mx - a[i][j], a[i][j] - mn);
int f = (d == a[i][j] - mn);
v.push_back({j, i, d, f});
}
sort(all(v));
for(auto&t : v){
int x = t.x, y = t.y, d = t.d, f = t.f;
if(f){
int r = max(x, L[y]);
for(int i = y; i <= h; i++){
if(L[i] >= r) break;
L[i] = r;
if(R[i] <= r) return d;
}
}
else{
R[y] = min(R[y], x);
if(L[y] >= R[y]) return d;
}
}
return v.back().d;
}
int main(void){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
ans = mn = 2e9;
cin >> h >> w;
for(int i = 1; i <= h; i++)
for(int j = 1; j <= w; j++) {
cin >> a[i][j];
mx = max(mx, a[i][j]);
mn = min(mn, a[i][j]);
}
ans = min(mx - mn, solve());
rotate();
ans = min(ans, solve());
rotate();
ans = min(ans, solve());
rotate();
ans = min(ans, solve());
cout << ans;
return 0;
}
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