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 <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define ff(i,a,b) for(int i=a;i<=b;i++)
#define fb(i,b,a) for(int i=b;i>=a;i--)
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef pair<int,int> pii;
const int maxn = 2005;
const int inf = 1e9 + 5;
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// os.order_of_key(k) the number of elements in the os less than k
// *os.find_by_order(k) print the k-th smallest number in os(0-based)
int n, m;
int mat[maxn][maxn];
int ide[maxn];
bool check(int X) {
memset(ide, 0, sizeof(ide));
// opadajacu
{
ide[0] = inf;
int mn = inf, mx = 0;
ff(i,1,n) {
int pommx = mx, pommn = mn;
ff(j,1,m) {
pommx = max(pommx, mat[i][j]);
pommn = min(pommn, mat[i][j]);
if(pommx - pommn > X)break;
mx = pommx, mn = pommn;
ide[i] = j;
}
ide[i] = min(ide[i], ide[i - 1]);
}
int najv = 0, najm = inf;
ff(i,1,n) {
ff(j,ide[i] + 1,m) {
najv = max(najv, mat[i][j]);
najm = min(najm, mat[i][j]);
}
}
if(najv - najm <= X)return 1;
}
memset(ide, 0, sizeof(ide));
// rastuce
{
ide[n + 1] = inf;
int mn = inf, mx = 0;
fb(i,n,1) {
int pommx = mx, pommn = mn;
ff(j,1,m) {
pommx = max(pommx, mat[i][j]);
pommn = min(pommn, mat[i][j]);
if(pommx - pommn > X)break;
mx = pommx, mn = pommn;
ide[i] = j;
}
ide[i] = min(ide[i], ide[i + 1]);
}
int najv = 0, najm = inf;
ff(i,1,n) {
ff(j,ide[i] + 1,m) {
najv = max(najv, mat[i][j]);
najm = min(najm, mat[i][j]);
}
}
if(najv - najm <= X)return 1;
}
return 0;
}
int main()
{
ios::sync_with_stdio(false);
cout.tie(nullptr);
cin.tie(nullptr);
cin >> n >> m;
ff(i,1,n)ff(j,1,m)cin >> mat[i][j];
int l = 0, r = inf, ans = 0;
while(l <= r) {
int mid = (l + r) / 2;
if(check(mid)) {
r = mid - 1;
ans = mid;
} else l = mid + 1;
}
cout << ans << endl;
return 0;
}
/**
// probati bojenje sahovski ili slicno
**/
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