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;
const int N = 2e3 + 5, INF = 1e9 + 7;
int n, m, Max, Min, ans;
int a[N][N], sum1[N][N], sum2[N][N];
bool check1 () {
for (int prev = 0, i = 1; i <= n; ++i) {
int next = -1;
for (int j = prev; j <= m; ++j) {
if (sum1[i][j] == j && sum2[i][m] - sum2[i][j] == m - j) { next = j; break ; }
}
if (next == -1) return false;
prev = next;
}
return true;
}
bool check2 () {
for (int prev = 0, i = 1; i <= n; ++i) {
int next = -1;
for (int j = prev; j <= m; ++j) {
if (sum2[i][j] == j && sum1[i][m] - sum1[i][j] == m - j) { next = j; break ; }
}
if (next == -1) return false;
prev = next;
}
return true;
}
bool check3 () {
for (int prev = m, i = 1; i <= n; ++i) {
int next = -1;
for (int j = prev; j >= 0; --j) {
if (sum1[i][j] == j && sum2[i][m] - sum2[i][j] == m - j) { next = j; break ; }
}
if (next == -1) return false;
prev = next;
}
return true;
}
bool check4 () {
for (int prev = m, i = 1; i <= n; ++i) {
int next = -1;
for (int j = prev; j >= 0; --j) {
if (sum2[i][j] == j && sum1[i][m] - sum1[i][j] == m - j) { next = j; break ; }
}
if (next == -1) return false;
prev = next;
}
return true;
}
int main () {
Max = -INF, Min = INF;
cin >> n >> m;
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= m; ++j) {
cin >> a[i][j];
Min = min(Min, a[i][j]);
Max = max(Max, a[i][j]);
}
}
int l = 0, r = Max - Min;
while (l < r) {
int mid = (l + r) / 2;
memset(sum1, 0, sizeof sum1);
memset(sum2, 0, sizeof sum2);
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= m; ++j) {
sum1[i][j] = sum1[i][j - 1];
sum2[i][j] = sum2[i][j - 1];
if (a[i][j] - Min <= mid) ++ sum1[i][j];
if (Max - a[i][j] <= mid) ++ sum2[i][j];
}
}
if (check1() || check2() || check3() || check4() ) r = mid - 1, ans = mid;
else l = mid + 1;
}
cout << ans;
}
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