#include <bits/stdc++.h>
using namespace std;
#define int long long
#define INF (int)1e18
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
int n, m;
const int N = 2005;
vector<vector<int>> a;
int p[N], sp[N];
int mx = 0;
bool ok(int x){
for (int i = 0; i < n; i++){
p[i] = m;
for (int j = 0; j < m; j++){
if (abs(mx - a[i][j]) <= x);
else p[i] = j;
}
}
// cout << "PRINT\n";
// for (int i = 0; i < n; i++){
// for (int j = 0; j < m; j++){
// cout << a[i][j] << " ";
// }
// cout << "\n";
// cout << p[i] << "\n";
// }
sp[0] = p[0];
for (int i = 1; i < n; i++){
sp[i] = p[i];
p[i] = min(p[i] , p[i - 1]);
}
int ma = 0, mi = INF;
for (int i = 0; i < n; i++){
for (int j = p[i]; j < m; j++){
mi = min(mi, a[i][j]);
ma = max(ma, a[i][j]);
}
}
// cout << "GOT " << mi << " " << ma << "\n";
if ((ma - mi) <= x) return true;
ma = 0;
mi = INF;
for (int i = 0; i < n; i++) p[i] = sp[i];
for (int i = n - 2; i >= 0; i--) p[i] = min(p[i], p[i + 1]);
for (int i = 0; i < n; i++){
for (int j = p[i]; j < m; j++){
mi = min(mi, a[i][j]);
ma = max(ma, a[i][j]);
}
}
// cout << "GOT " << mi << " " << ma << "\n";
return (ma - mi) <= x;
}
bool check(int x){
for (int i1 = 0; i1 < 2; i1++){
for (int i = 0; i < n; i++){
reverse(a[i].begin(), a[i].end());
}
if (ok(x)) return true;
}
return false;
}
void Solve()
{
cin >> n >> m;
a.resize(n);
for (int i = 1; i <= n; i++) a[i - 1].resize(m);
for (int i = 1; i <= n; i++){
for (int j = 1; j <= m; j++){
cin >> a[i - 1][j - 1], mx = max(mx, a[i - 1][j - 1]);
}
}
// cout << check(18);
// return;
int l = 0, r = 1e9;
while (l != r){
int mid = (l + r) / 2;
if (check(mid)) r = mid;
else l = mid + 1;
}
cout << l << "\n";
}
int32_t main()
{
auto begin = std::chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
//cout << "Case #" << i << ": ";
Solve();
}
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |