#include <bits/stdc++.h>
using namespace std;
const int INF = 1e9+1;
const int NM_MAX = 1002;
int n, m;
int ma[NM_MAX][NM_MAX];
int maxc1[NM_MAX][NM_MAX];
int minc1[NM_MAX][NM_MAX];
int maxc2[NM_MAX][NM_MAX];
int minc2[NM_MAX][NM_MAX];
int ans = INF;
void f1 (int mi, int mx, int &a, int &b)
{
int mia, mxa, mib, mxb;
mia = mib = INF;
mxa = mxb = -INF;
int last = n;
for(int j = 1; j <= m; j++)
{
int l = 0, r = last;
while(l < r)
{
int mid = (l + r + 1) / 2;
if(minc1[mid][j] < mi || maxc1[mid][j] > mx)
r = mid - 1;
else
l = mid;
}
last = l;
mia = min(mia, minc1[l][j]);
mib = min(mib, minc2[l + 1][j]);
mxa = max(mxa, maxc1[l][j]);
mxb = max(mxb, maxc2[l + 1][j]);
}
if(mia == INF)
mia = 0;
if(mib == INF)
mib = 0;
if(mxa == INF)
mxa = 0;
if(mxb == INF)
mxb = 0;
a = mxa - mia;
b = mxb - mib;
}
void f2 (int mi, int mx, int &a, int &b)
{
int mia, mxa, mib, mxb;
mia = mib = INF;
mxa = mxb = -INF;
int last = n;
for(int j = m; j >= 1; j--)
{
int l = 0, r = last;
while(l < r)
{
int mid = (l + r + 1) / 2;
if(minc1[mid][j] < mi || maxc1[mid][j] > mx)
r = mid - 1;
else
l = mid;
}
last = l;
mia = min(mia, minc1[l][j]);
mib = min(mib, minc2[l + 1][j]);
mxa = max(mxa, maxc1[l][j]);
mxb = max(mxb, maxc2[l + 1][j]);
}
if(mia == INF)
mia = 0;
if(mib == INF)
mib = 0;
if(mxa == INF)
mxa = 0;
if(mxb == INF)
mxb = 0;
a = mxa - mia;
b = mxb - mib;
}
void solve (int val)
{
int l = 0, r = ans - 1;
int a, b;
while(l < r)
{
int mid = (l + r) / 2;
f1(val, val + mid, a, b);
if(a < b)
l = mid + 1;
else
r = mid;
}
f1(val, val + l, a, b);
ans = min(ans, max(a, b));
f1(val, val + l + 1, a, b);
ans = min(ans, max(a, b));
l = 0; r = ans - 1;
while(l < r)
{
int mid = (l + r) / 2;
f2(val, val + mid, a, b);
if(a < b)
l = mid + 1;
else
r = mid;
}
f2(val, val + l, a, b);
ans = min(ans, max(a, b));
f2(val, val + l + 1, a, b);
ans = min(ans, max(a, b));
}
int main()
{
cin >> n >> m;
for(int i = 1; i <= n; i++)
for(int j = 1; j <= m; j++)
cin >> ma[i][j];
for(int j = 1; j <= m; j++)
{
maxc1[0][j] = -INF;
for(int i = 1; i <= n; i++)
maxc1[i][j] = max(ma[i][j], maxc1[i - 1][j]);
maxc2[n + 1][j] = -INF;
for(int i = n; i >= 1; i--)
maxc2[i][j] = max(ma[i][j], maxc2[i + 1][j]);
}
for(int j = 1; j <= m; j++)
{
minc1[0][j] = INF;
for(int i = 1; i <= n; i++)
minc1[i][j] = min(ma[i][j], minc1[i - 1][j]);
minc2[n + 1][j] = INF;
for(int i = n; i >= 1; i--)
minc2[i][j] = min(ma[i][j], minc2[i + 1][j]);
}
for(int i = 1; i <= n; i++)
for(int j = 1; j <= m; j++)
if(ma[i][j] == minc1[i][j])
solve(ma[i][j]);
cout << ans << "\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
504 KB |
Output is correct |
2 |
Correct |
2 ms |
504 KB |
Output is correct |
3 |
Correct |
2 ms |
504 KB |
Output is correct |
4 |
Correct |
2 ms |
504 KB |
Output is correct |
5 |
Incorrect |
2 ms |
504 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
504 KB |
Output is correct |
2 |
Correct |
2 ms |
504 KB |
Output is correct |
3 |
Correct |
2 ms |
504 KB |
Output is correct |
4 |
Correct |
2 ms |
504 KB |
Output is correct |
5 |
Incorrect |
2 ms |
504 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
504 KB |
Output is correct |
2 |
Correct |
2 ms |
504 KB |
Output is correct |
3 |
Correct |
2 ms |
504 KB |
Output is correct |
4 |
Correct |
2 ms |
504 KB |
Output is correct |
5 |
Incorrect |
2 ms |
504 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |