#include <bits/stdc++.h>
using namespace std;
int h{};
int w{};
int max_alt{0};
int min_alt(1e9);
bool check_kingdom(int x, int country[2000][2000])
{
int border{w};
bool valid;
bool element_present;
//min left top
if(country[0][0]-min_alt<=x)
{
valid=true;
element_present=false;
for(int i=0; i<h; i++)
{
for(int j=0; j<w; j++)
{
if(j<border)
{
if(country[i][j]==min_alt) element_present=true;
if(country[i][j]-min_alt>x) {border=j; j--;}
}
else
{
if(max_alt-country[i][j]>x)
{
valid=false;
break;
}
}
if(border==0 && (not element_present))
{
valid=false;
break;
}
}
if(not valid) break;
}
if(valid) return true;
}
//min left bottom
border=w;
if(country[h-1][0]-min_alt<=x)
{
element_present=false;
valid=true;
for(int i=h-1; i>=0; i--)
{
for(int j=0; j<w; j++)
{
if(j<border)
{
if(country[i][j]==min_alt) element_present=true;
if(country[i][j]-min_alt>x) {border=j; j--;}
}
else
{
if(max_alt-country[i][j]>x)
{
valid=false;
break;
}
}
if(border==0 && (not element_present))
{
valid=false;
break;
}
}
if(not valid) break;
}
if(valid) return true;
}
//max left top
border=w;
if(max_alt-country[0][0]<=x)
{
valid=true;
element_present=false;
for(int i=0; i<h; i++)
{
for(int j=0; j<w; j++)
{
if(j<border)
{
if(country[i][j]==max_alt) element_present=true;
if(max_alt-country[i][j]>x) {border=j; j--;}
}
else
{
if(country[i][j]-min_alt>x)
{
valid=false;
break;
}
}
if(border==0 && (not element_present))
{
valid=false;
break;
}
}
if(not valid) break;
}
if(valid) return true;
}
//max left bottom
border=w;
if(max_alt-country[h-1][0]<=x)
{
element_present=false;
valid=true;
for(int i=h-1; i>=0; i--)
{
for(int j=0; j<w; j++)
{
if(j<border)
{
if(country[i][j]==max_alt) element_present=true;
if(max_alt-country[i][j]>x) {border=j; j--;}
}
else
{
if(country[i][j]-min_alt>x)
{
valid=false;
break;
}
}
if(border==0 && (not element_present))
{
valid=false;
break;
}
}
if(not valid) break;
}
if(valid) return true;
}
return false;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cin>>h>>w;
int country[2000][2000];
for(int i=0; i<h; i++)
{
for(int j=0; j<w; j++)
{
cin>>country[i][j];
max_alt=max(max_alt, country[i][j]);
min_alt=min(min_alt, country[i][j]);
}
}
int high=max_alt-min_alt;
int low=-1;
int mid;
while(high-low>1)
{
mid=(high+low)/2;
if(check_kingdom(mid, country)) high=mid;
else low=mid;
}
cout<<high;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
15956 KB |
Output is correct |
2 |
Correct |
7 ms |
15956 KB |
Output is correct |
3 |
Correct |
6 ms |
15956 KB |
Output is correct |
4 |
Correct |
8 ms |
15876 KB |
Output is correct |
5 |
Correct |
7 ms |
15956 KB |
Output is correct |
6 |
Correct |
7 ms |
15956 KB |
Output is correct |
7 |
Correct |
8 ms |
15956 KB |
Output is correct |
8 |
Correct |
6 ms |
15956 KB |
Output is correct |
9 |
Correct |
7 ms |
15956 KB |
Output is correct |
10 |
Correct |
7 ms |
15908 KB |
Output is correct |
11 |
Correct |
7 ms |
15864 KB |
Output is correct |
12 |
Correct |
6 ms |
15956 KB |
Output is correct |
13 |
Correct |
6 ms |
15956 KB |
Output is correct |
14 |
Correct |
7 ms |
15956 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
15956 KB |
Output is correct |
2 |
Correct |
7 ms |
15956 KB |
Output is correct |
3 |
Correct |
6 ms |
15956 KB |
Output is correct |
4 |
Correct |
8 ms |
15876 KB |
Output is correct |
5 |
Correct |
7 ms |
15956 KB |
Output is correct |
6 |
Correct |
7 ms |
15956 KB |
Output is correct |
7 |
Correct |
8 ms |
15956 KB |
Output is correct |
8 |
Correct |
6 ms |
15956 KB |
Output is correct |
9 |
Correct |
7 ms |
15956 KB |
Output is correct |
10 |
Correct |
7 ms |
15908 KB |
Output is correct |
11 |
Correct |
7 ms |
15864 KB |
Output is correct |
12 |
Correct |
6 ms |
15956 KB |
Output is correct |
13 |
Correct |
6 ms |
15956 KB |
Output is correct |
14 |
Correct |
7 ms |
15956 KB |
Output is correct |
15 |
Correct |
7 ms |
15956 KB |
Output is correct |
16 |
Correct |
8 ms |
15956 KB |
Output is correct |
17 |
Correct |
10 ms |
15956 KB |
Output is correct |
18 |
Correct |
10 ms |
15956 KB |
Output is correct |
19 |
Correct |
12 ms |
16060 KB |
Output is correct |
20 |
Correct |
10 ms |
15956 KB |
Output is correct |
21 |
Correct |
12 ms |
15956 KB |
Output is correct |
22 |
Correct |
11 ms |
15956 KB |
Output is correct |
23 |
Correct |
11 ms |
15948 KB |
Output is correct |
24 |
Correct |
10 ms |
15972 KB |
Output is correct |
25 |
Correct |
11 ms |
15856 KB |
Output is correct |
26 |
Correct |
11 ms |
15976 KB |
Output is correct |
27 |
Correct |
12 ms |
15956 KB |
Output is correct |
28 |
Correct |
19 ms |
15972 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
15956 KB |
Output is correct |
2 |
Correct |
7 ms |
15956 KB |
Output is correct |
3 |
Correct |
6 ms |
15956 KB |
Output is correct |
4 |
Correct |
8 ms |
15876 KB |
Output is correct |
5 |
Correct |
7 ms |
15956 KB |
Output is correct |
6 |
Correct |
7 ms |
15956 KB |
Output is correct |
7 |
Correct |
8 ms |
15956 KB |
Output is correct |
8 |
Correct |
6 ms |
15956 KB |
Output is correct |
9 |
Correct |
7 ms |
15956 KB |
Output is correct |
10 |
Correct |
7 ms |
15908 KB |
Output is correct |
11 |
Correct |
7 ms |
15864 KB |
Output is correct |
12 |
Correct |
6 ms |
15956 KB |
Output is correct |
13 |
Correct |
6 ms |
15956 KB |
Output is correct |
14 |
Correct |
7 ms |
15956 KB |
Output is correct |
15 |
Correct |
7 ms |
15956 KB |
Output is correct |
16 |
Correct |
8 ms |
15956 KB |
Output is correct |
17 |
Correct |
10 ms |
15956 KB |
Output is correct |
18 |
Correct |
10 ms |
15956 KB |
Output is correct |
19 |
Correct |
12 ms |
16060 KB |
Output is correct |
20 |
Correct |
10 ms |
15956 KB |
Output is correct |
21 |
Correct |
12 ms |
15956 KB |
Output is correct |
22 |
Correct |
11 ms |
15956 KB |
Output is correct |
23 |
Correct |
11 ms |
15948 KB |
Output is correct |
24 |
Correct |
10 ms |
15972 KB |
Output is correct |
25 |
Correct |
11 ms |
15856 KB |
Output is correct |
26 |
Correct |
11 ms |
15976 KB |
Output is correct |
27 |
Correct |
12 ms |
15956 KB |
Output is correct |
28 |
Correct |
19 ms |
15972 KB |
Output is correct |
29 |
Correct |
307 ms |
15952 KB |
Output is correct |
30 |
Correct |
281 ms |
15956 KB |
Output is correct |
31 |
Correct |
315 ms |
15956 KB |
Output is correct |
32 |
Correct |
312 ms |
15956 KB |
Output is correct |
33 |
Correct |
257 ms |
15956 KB |
Output is correct |
34 |
Correct |
316 ms |
15952 KB |
Output is correct |
35 |
Correct |
420 ms |
15956 KB |
Output is correct |
36 |
Correct |
398 ms |
15956 KB |
Output is correct |
37 |
Correct |
443 ms |
15956 KB |
Output is correct |