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>
#pragma GCC target("sse,sse2,avx2")
#pragma GCC optimize("unroll-loops,O2")
#define rep(i,l,r) for (int i = l; i < r; i++)
#define repr(i,r,l) for (int i = r; i >= l; i--)
#define X first
#define Y second
#define all(x) (x).begin() , (x).end()
#define pb push_back
#define endl '\n'
#define debug(x) cerr << #x << " : " << x << endl;
using namespace std;
typedef long long ll;
typedef pair<int,int> pll;
constexpr int N = 2e3+10,mod = 1e9+7,maxm = 210;
constexpr ll inf = 1e9+10;
inline int mkay(int a,int b){
if (a+b >= mod) return a+b-mod;
// if (a+b < 0) return a+b+mod;
return a+b;
}
inline int poww(int a,int k){
if (k < 0) return 0;
int z = 1;
while (k){
if (k&1) z = 1ll*z*a%mod;
a = 1ll*a*a%mod;
k >>= 1;
}
return z;
}
int h,w,l[N];
int a[N][N],b[N][N];
int ans,sz,mi;
bool on[N][N];
multiset<int> st;
vector<pll> ve;
bool cmp(pll q,pll p){
return (a[p.X][p.Y] > a[q.X][q.Y]);
}
void rlx(int x){
if (l[x] == l[x+1] || !on[x][l[x]+1]) return;
while (l[x] < l[x+1] && on[x][l[x]+1]){
l[x]++;
st.erase(st.find(a[x][l[x]]));
}
if (x) rlx(x-1);
}
void rst(){
rep(i,1,h+1){
rep(j,1,l[i]+1)
st.insert(a[i][j]);
}
rep(i,1,h+1){
l[i] = 0;
rep(j,1,w+1){
a[i][j] = b[i][j];
on[i][j] = 0;
}
}
}
void calc(){
rep(i,0,sz-1){
int x = ve[i].X,y = ve[i].Y;
if (a[x][y]-mi >= ans) break;
on[x][y] = 1;
rlx(x);
if ((int)st.size() == sz) continue;
ans = min(ans,max(a[x][y]-mi,(*st.rbegin())-(*st.begin())));
}
}
int main(){
ios :: sync_with_stdio(0); cin.tie(0);
cin >> h >> w;
rep(i,1,h+1){
rep(j,1,w+1){
cin >> a[i][j];
b[i][j] = a[i][j];
st.insert(a[i][j]);
ve.pb({i,j});
}
}
l[h+1] = w;
ans = (*st.rbegin())-(*st.begin());
sort(all(ve),cmp);
int c = ve[0].X,d = ve[0].Y,e = ve.back().X,f = ve.back().Y;
sz = h*w;
mi = a[e][f];
if ((c <= e && d < f) || c > e){
calc();
rst();
}
rep(i,1,h+1){
if (h-i+1 <= i) break;
rep(j,1,w+1)
swap(a[i][j],a[h-i+1][j]);
}
rep(i,0,sz){
ve[i].X = h-ve[i].X+1;
}
if ((c >= e && d < f) || c < e){
calc();
rst();
}
rep(j,1,w+1){
if (w-j+1 <= j) break;
rep(i,1,h+1)
swap(a[i][j],a[i][w-j+1]);
}
rep(i,0,sz){
ve[i].Y = w-ve[i].Y+1;
ve[i].X = h-ve[i].X+1;
}
if ((c <= e && d > f) || c > e){
calc();
rst();
}
rep(i,1,h+1){
if (h-i+1 <= i) break;
rep(j,1,w+1)
swap(a[i][j],a[h-i+1][j]);
}
rep(j,1,w+1){
if (w-j+1 <= j) break;
rep(i,1,h+1)
swap(a[i][j],a[i][w-j+1]);
}
rep(i,0,sz){
ve[i].X = h-ve[i].X+1;
}
if ((c >= e && d > f) || c < e)
calc();
cout << ans << endl;
}
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