#include <bits/stdc++.h>
// #define int long long
using namespace std;
void solve()
{
int n, m;
cin >> n >> m;
vector<vector<int>> v(n, vector<int>(m));
for (auto &i : v)
for (auto &j : i)
cin >> j;
int l = 0, r = 1000000005;
while (l < r)
{
int mid = (l + r) >> 1, ok = 1;
vector<int> a(n), b(n), c(m), d(m);
for (int i = 0; i < n; ++i)
{
int mx = v[i][0], mn = mx;
for (a[i] = 0; a[i] < m; ++a[i])
{
mx = max(mx, v[i][a[i]]);
mn = min(mn, v[i][a[i]]);
if (mx - mn > mid)
break;
}
--a[i];
}
for (int i = 0; i < n; ++i)
{
int mx = v[i][m - 1], mn = mx;
for (b[i] = m - 1; b[i] >= 0; --b[i])
{
mx = max(mx, v[i][b[i]]);
mn = min(mn, v[i][b[i]]);
if (mx - mn > mid)
break;
}
++b[i];
if (b[i] > a[i] + 1)
{
ok = 0;
break;
}
}
if (ok == 0)
{
l = mid + 1;
continue;
}
for (int i = 0; i < m; ++i)
{
int mx = v[0][i], mn = mx;
for (c[i] = 0; c[i] < n; ++c[i])
{
mx = max(mx, v[c[i]][i]);
mn = min(mn, v[c[i]][i]);
if (mx - mn > mid)
break;
}
--c[i];
}
for (int i = 0; i < m; ++i)
{
int mx = v[n - 1][i], mn = mx;
for (d[i] = n - 1; d[i] >= 0; --d[i])
{
mx = max(mx, v[d[i]][i]);
mn = min(mn, v[d[i]][i]);
if (mx - mn > mid)
break;
}
++d[i];
if (d[i] > c[i] + 1)
{
ok = 0;
break;
}
}
if (ok == 0)
{
l = mid + 1;
continue;
}
auto c0 = c, d0 = d;
for (int i = 1; i < m; ++i)
c[i] = min(c[i], c[i - 1]);
for (int i = m - 2; i >= 0; --i)
d[i] = max(d[i], d[i + 1]);
int mn = a[0];
for (int i = 0; i < n; ++i)
{
mn = min(mn, a[i]);
while (mn >= 0 && (c[mn] < i || mn < m && d[mn + 1] > i))
--mn;
if (b[i] > mn + 1)
{
ok = 0;
break;
}
}
if (ok)
{
r = mid;
continue;
}
c = c0, d = d0;
for (int i = m - 2; i >= 0; --i)
c[i] = min(c[i], c[i + 1]);
for (int i = 1; i < m; ++i)
d[i] = max(d[i], d[i - 1]);
int mx = b[0];
for (int i = 0; i < n; ++i)
{
mx = max(mx, b[i]);
while (mx < m && (c[mx] < i || mx > 0 && d[mx - 1] > i))
++mx;
if (mx > a[i] + 1)
{
ok = 0;
break;
}
}
if (ok)
r = mid;
else
l = mid + 1;
}
cout << l << '\n';
}
/*
4 4
1 12 6 11
11 10 2 14
10 1 9 20
4 17 19 10
8 6
23 23 10 11 16 21
15 26 19 28 19 20
25 26 28 16 15 11
11 8 19 11 15 24
14 19 15 14 24 11
10 8 11 7 6 14
23 5 19 23 17 17
18 11 21 14 20 16
*/
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
solve();
return 0;
}
Compilation message
joioi.cpp: In function 'void solve()':
joioi.cpp:103:52: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
103 | while (mn >= 0 && (c[mn] < i || mn < m && d[mn + 1] > i))
| ~~~~~~~^~~~~~~~~~~~~~~~
joioi.cpp:125:51: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
125 | while (mx < m && (c[mx] < i || mx > 0 && d[mx - 1] > i))
| ~~~~~~~^~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
596 KB |
Output is correct |
| 2 |
Correct |
0 ms |
600 KB |
Output is correct |
| 3 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
596 KB |
Output is correct |
| 2 |
Correct |
0 ms |
600 KB |
Output is correct |
| 3 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
596 KB |
Output is correct |
| 2 |
Correct |
0 ms |
600 KB |
Output is correct |
| 3 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
