#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
int H,W,g[2000][2000];
int l[2][2000], r[2][2000];
pi lo = {0,0}, hi = {0,0};
bool leftIncrease(int x) {
vi R(H), L(H);
F0R(i,H) {
R[i] = r[x][i];
if (i) R[i] = max(R[i],R[i-1]);
}
F0Rd(i,H) {
L[i] = l[x^1][i];
if (i < H-1) L[i] = min(L[i],L[i+1]);
}
F0R(i,H) if (R[i] >= L[i]) return 0;
return 1;
}
bool leftDecrease(int x) {
vi R(H), L(H);
F0Rd(i,H) {
R[i] = r[x][i];
if (i < H-1) R[i] = max(R[i],R[i+1]);
}
F0R(i,H) {
L[i] = l[x^1][i];
if (i) L[i] = min(L[i],L[i-1]);
}
F0R(i,H) if (R[i] >= L[i]) return 0;
return 1;
}
bool ok(int mid) {
F0R(i,H) l[0][i] = l[1][i] = MOD, r[0][i] = r[1][i] = -MOD;
F0R(i,H) F0R(j,W) {
if (g[hi.f][hi.s]-g[i][j] > mid) r[0][i] = max(r[0][i],j), l[0][i] = min(l[0][i],j);
if (g[i][j]-g[lo.f][lo.s] > mid) r[1][i] = max(r[1][i],j), l[1][i] = min(l[1][i],j);
}
return leftIncrease(0) || leftDecrease(0) || leftIncrease(1) || leftDecrease(1);
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> H >> W;
F0R(i,H) F0R(j,W) {
cin >> g[i][j];
if (g[i][j] < g[lo.f][lo.s]) lo = {i,j};
if (g[i][j] > g[hi.f][hi.s]) hi = {i,j};
}
int lo = 0, hi = 1000000000;
while (lo < hi) {
int mid = (lo+hi)/2;
if (ok(mid)) hi = mid;
else lo = mid+1;
}
cout << lo;
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
504 KB |
Output is correct |
2 |
Correct |
3 ms |
616 KB |
Output is correct |
3 |
Correct |
3 ms |
616 KB |
Output is correct |
4 |
Correct |
2 ms |
652 KB |
Output is correct |
5 |
Correct |
2 ms |
844 KB |
Output is correct |
6 |
Correct |
2 ms |
844 KB |
Output is correct |
7 |
Correct |
3 ms |
844 KB |
Output is correct |
8 |
Correct |
3 ms |
964 KB |
Output is correct |
9 |
Correct |
3 ms |
964 KB |
Output is correct |
10 |
Correct |
3 ms |
964 KB |
Output is correct |
11 |
Correct |
2 ms |
964 KB |
Output is correct |
12 |
Correct |
3 ms |
964 KB |
Output is correct |
13 |
Correct |
3 ms |
964 KB |
Output is correct |
14 |
Correct |
3 ms |
964 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
504 KB |
Output is correct |
2 |
Correct |
3 ms |
616 KB |
Output is correct |
3 |
Correct |
3 ms |
616 KB |
Output is correct |
4 |
Correct |
2 ms |
652 KB |
Output is correct |
5 |
Correct |
2 ms |
844 KB |
Output is correct |
6 |
Correct |
2 ms |
844 KB |
Output is correct |
7 |
Correct |
3 ms |
844 KB |
Output is correct |
8 |
Correct |
3 ms |
964 KB |
Output is correct |
9 |
Correct |
3 ms |
964 KB |
Output is correct |
10 |
Correct |
3 ms |
964 KB |
Output is correct |
11 |
Correct |
2 ms |
964 KB |
Output is correct |
12 |
Correct |
3 ms |
964 KB |
Output is correct |
13 |
Correct |
3 ms |
964 KB |
Output is correct |
14 |
Correct |
3 ms |
964 KB |
Output is correct |
15 |
Correct |
2 ms |
964 KB |
Output is correct |
16 |
Correct |
8 ms |
1952 KB |
Output is correct |
17 |
Correct |
12 ms |
2240 KB |
Output is correct |
18 |
Correct |
13 ms |
2456 KB |
Output is correct |
19 |
Correct |
14 ms |
2740 KB |
Output is correct |
20 |
Correct |
14 ms |
2884 KB |
Output is correct |
21 |
Correct |
15 ms |
3416 KB |
Output is correct |
22 |
Correct |
14 ms |
3784 KB |
Output is correct |
23 |
Correct |
30 ms |
4168 KB |
Output is correct |
24 |
Correct |
14 ms |
4556 KB |
Output is correct |
25 |
Correct |
19 ms |
4904 KB |
Output is correct |
26 |
Correct |
12 ms |
5332 KB |
Output is correct |
27 |
Correct |
15 ms |
5680 KB |
Output is correct |
28 |
Correct |
12 ms |
6068 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
504 KB |
Output is correct |
2 |
Correct |
3 ms |
616 KB |
Output is correct |
3 |
Correct |
3 ms |
616 KB |
Output is correct |
4 |
Correct |
2 ms |
652 KB |
Output is correct |
5 |
Correct |
2 ms |
844 KB |
Output is correct |
6 |
Correct |
2 ms |
844 KB |
Output is correct |
7 |
Correct |
3 ms |
844 KB |
Output is correct |
8 |
Correct |
3 ms |
964 KB |
Output is correct |
9 |
Correct |
3 ms |
964 KB |
Output is correct |
10 |
Correct |
3 ms |
964 KB |
Output is correct |
11 |
Correct |
2 ms |
964 KB |
Output is correct |
12 |
Correct |
3 ms |
964 KB |
Output is correct |
13 |
Correct |
3 ms |
964 KB |
Output is correct |
14 |
Correct |
3 ms |
964 KB |
Output is correct |
15 |
Correct |
2 ms |
964 KB |
Output is correct |
16 |
Correct |
8 ms |
1952 KB |
Output is correct |
17 |
Correct |
12 ms |
2240 KB |
Output is correct |
18 |
Correct |
13 ms |
2456 KB |
Output is correct |
19 |
Correct |
14 ms |
2740 KB |
Output is correct |
20 |
Correct |
14 ms |
2884 KB |
Output is correct |
21 |
Correct |
15 ms |
3416 KB |
Output is correct |
22 |
Correct |
14 ms |
3784 KB |
Output is correct |
23 |
Correct |
30 ms |
4168 KB |
Output is correct |
24 |
Correct |
14 ms |
4556 KB |
Output is correct |
25 |
Correct |
19 ms |
4904 KB |
Output is correct |
26 |
Correct |
12 ms |
5332 KB |
Output is correct |
27 |
Correct |
15 ms |
5680 KB |
Output is correct |
28 |
Correct |
12 ms |
6068 KB |
Output is correct |
29 |
Correct |
864 ms |
42344 KB |
Output is correct |
30 |
Correct |
996 ms |
64616 KB |
Output is correct |
31 |
Correct |
1153 ms |
87836 KB |
Output is correct |
32 |
Correct |
800 ms |
110816 KB |
Output is correct |
33 |
Correct |
697 ms |
129008 KB |
Output is correct |
34 |
Correct |
1062 ms |
154196 KB |
Output is correct |
35 |
Correct |
1016 ms |
193072 KB |
Output is correct |
36 |
Correct |
904 ms |
226612 KB |
Output is correct |
37 |
Runtime error |
1198 ms |
263168 KB |
Memory limit exceeded: We have a known bug that the memory usage is measured incorrectly (possibly because of Meltdown/Spectre patch), so your solution may be correct. Please submit again. Sorry for the inconvenience. |