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;
#pragma GCC optimize("Ofast")
#define sh short
#define pp pair<sh, sh>
const int N = 2e3+110;
const int INF = 1e9;
int a[N][N], cnt[N], h, w;
vector<int> v;
void fs(int &number) {
register int c;
number = 0;
c = getchar();
for (; (c>47 && c<58); c=getchar()) number = number *10 + c - 48;
}
bool cmp(sh x, sh y) {
return a[cnt[x]+1][x] > a[cnt[y]+1][y];
}
deque<pp> tmp;
int solve() {
memset(cnt, 0, sizeof(cnt));
int res=INF, lis=INF, uis=-1;
deque<pp> q=tmp;
priority_queue<sh, vector<sh>, function<bool(sh, sh)>> pq(cmp);
pq.push(w);
for (int k=0; k<(int)v.size(); ++k) {
while (!pq.empty()) {
if (a[cnt[pq.top()]+1][pq.top()] <= v[k]) {
sh x=pq.top(); pq.pop();
int val=a[cnt[x]+1][x];
lis=min(lis, val), uis=max(uis, val);
++cnt[x];
if (cnt[x] == h) continue;
if (x == w || cnt[x+1] >= cnt[x]+1) pq.push(x);
if (x == 1) continue;
if (cnt[x] == cnt[x-1]+1) pq.push(x-1);
} else break;
}
while (!q.empty()) {
int i=q.front().first, j=q.front().second;
if (i <= cnt[j]) q.pop_front();
else break;
}
while (!q.empty()) {
int i=q.back().first, j=q.back().second;
if (i <= cnt[j]) q.pop_back();
else break;
}
int lf;
if (q.empty()) lf=INF;
else {
int x=a[q.back().first][q.back().second];
int y=a[q.front().first][q.front().second];
lf=x-y;
}
res=min(res, max(lf, uis-lis));
}
return res;
}
void hor() {
for (int i=1; i<h/2+1; ++i) {
for (int j=1; j<=w; ++j) swap(a[i][j], a[h-i+1][j]);
}
}
void ver() {
for (int i=1; i<=h; ++i) {
for (int j=1; j<w/2+1; ++j) swap(a[i][j], a[i][w-j+1]);
}
}
bool cmpx(pp x, pp y) {
return a[x.first][x.second] < a[y.first][y.second];
}
void filltmp() {
sort(tmp.begin(), tmp.end(), cmpx);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(NULL);
fs(h), fs(w);
for (int i=1; i<=h; ++i) {
for (int j=1; j<=w; ++j) {
fs(a[i][j]);
v.push_back(a[i][j]);
}
} sort(v.begin(), v.end());
v.erase(unique(v.begin(), v.end()), v.end());
for (int i=1; i<=h; ++i) {
for (int j=1; j<=w; ++j) tmp.push_back({i, j});
}
filltmp();
int ans=solve();
ver();
filltmp();
ans=min(ans, solve());
hor();
filltmp();
ans=min(ans, solve());
printf("%d\n", ans);
}
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