#include<bits/stdc++.h>
using namespace std;
const int MAXN=1e6+6;
int a[MAXN][2];
int n;
int dpmin[MAXN][2];
int dpmax[MAXN][2];
string ans="";
int main()
{
cin>>n;
for(int i=1;i<=2*n;i++)cin>>a[i][0];
for(int i=1;i<=2*n;i++)cin>>a[i][1];
dpmin[1][1]=1;
dpmin[1][0]=0;
dpmax[1][1]=1;
dpmax[1][0]=0;
for(int i=2;i<=2*n;i++)
{
dpmin[i][0]=MAXN;
dpmin[i][1]=MAXN;
if(a[i][0]>=a[i-1][0])
{
dpmin[i][0]=min(dpmin[i][0],dpmin[i-1][0]);
dpmax[i][0]=max(dpmax[i][0],dpmax[i-1][0]);
}
if(a[i][0]>=a[i-1][1])
{
dpmin[i][0]=min(dpmin[i][0],dpmin[i-1][1]);
dpmax[i][0]=max(dpmax[i][0],dpmax[i-1][1]);
}
if(a[i][1]>=a[i-1][0])
{
dpmin[i][1]=min(dpmin[i][1],dpmin[i-1][0]+1);
dpmax[i][1]=max(dpmax[i][1],dpmax[i-1][0]+1);
}
if(a[i][1]>=a[i-1][1])
{
dpmin[i][1]=min(dpmin[i][1],dpmin[i-1][1]+1);
dpmax[i][1]=max(dpmax[i][1],dpmax[i-1][1]+1);
}
//cout<<dpmax[i][1]<<" "<<dpmax[i][0]<<" "<<dpmin[i][1]<<" "<<dpmin[i][0]<<endl;
}
int t,cnt;
if(dpmax[2*n][0]>=n&&dpmin[2*n][0]<=n)
{
ans+='A';
t=0;
cnt=0;
}
else if(dpmax[2*n][1]>=n&&dpmin[2*n][1]<=n)
{
ans+='B';
t=1;
cnt=1;
}
else
{
cout<<"-1\n";
return 0;
}
for(int i=2*n-1;i>=1;i--)
{
if(a[i+1][t]>=a[i][0]&&dpmin[i][0]<=n-cnt&&dpmax[i][0]>=n-cnt)
{
t=0;
ans+='A';
}
else
{
t=1;
ans+='B';
cnt++;
}
}
reverse(ans.begin(),ans.end());
cout<<ans<<endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
4 ms |
336 KB |
Output is correct |
6 |
Correct |
5 ms |
332 KB |
Output is correct |
7 |
Correct |
3 ms |
460 KB |
Output is correct |
8 |
Correct |
4 ms |
460 KB |
Output is correct |
9 |
Correct |
4 ms |
400 KB |
Output is correct |
10 |
Correct |
4 ms |
460 KB |
Output is correct |
11 |
Correct |
4 ms |
448 KB |
Output is correct |
12 |
Correct |
4 ms |
412 KB |
Output is correct |
13 |
Correct |
4 ms |
460 KB |
Output is correct |
14 |
Correct |
4 ms |
460 KB |
Output is correct |
15 |
Correct |
4 ms |
460 KB |
Output is correct |
16 |
Correct |
4 ms |
404 KB |
Output is correct |
17 |
Correct |
4 ms |
460 KB |
Output is correct |
18 |
Correct |
4 ms |
464 KB |
Output is correct |
19 |
Correct |
4 ms |
460 KB |
Output is correct |
20 |
Correct |
2 ms |
460 KB |
Output is correct |
21 |
Correct |
3 ms |
460 KB |
Output is correct |
22 |
Correct |
3 ms |
448 KB |
Output is correct |
23 |
Correct |
2 ms |
460 KB |
Output is correct |
24 |
Correct |
4 ms |
460 KB |
Output is correct |
25 |
Correct |
3 ms |
460 KB |
Output is correct |
26 |
Correct |
4 ms |
460 KB |
Output is correct |
27 |
Correct |
3 ms |
460 KB |
Output is correct |
28 |
Correct |
3 ms |
332 KB |
Output is correct |
29 |
Correct |
3 ms |
460 KB |
Output is correct |
30 |
Correct |
3 ms |
328 KB |
Output is correct |
31 |
Correct |
3 ms |
460 KB |
Output is correct |
32 |
Correct |
3 ms |
332 KB |
Output is correct |
33 |
Correct |
3 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
4 ms |
336 KB |
Output is correct |
6 |
Correct |
5 ms |
332 KB |
Output is correct |
7 |
Correct |
3 ms |
460 KB |
Output is correct |
8 |
Correct |
4 ms |
460 KB |
Output is correct |
9 |
Correct |
4 ms |
400 KB |
Output is correct |
10 |
Correct |
4 ms |
460 KB |
Output is correct |
11 |
Correct |
4 ms |
448 KB |
Output is correct |
12 |
Correct |
4 ms |
412 KB |
Output is correct |
13 |
Correct |
4 ms |
460 KB |
Output is correct |
14 |
Correct |
4 ms |
460 KB |
Output is correct |
15 |
Correct |
4 ms |
460 KB |
Output is correct |
16 |
Correct |
4 ms |
404 KB |
Output is correct |
17 |
Correct |
4 ms |
460 KB |
Output is correct |
18 |
Correct |
4 ms |
464 KB |
Output is correct |
19 |
Correct |
4 ms |
460 KB |
Output is correct |
20 |
Correct |
2 ms |
460 KB |
Output is correct |
21 |
Correct |
3 ms |
460 KB |
Output is correct |
22 |
Correct |
3 ms |
448 KB |
Output is correct |
23 |
Correct |
2 ms |
460 KB |
Output is correct |
24 |
Correct |
4 ms |
460 KB |
Output is correct |
25 |
Correct |
3 ms |
460 KB |
Output is correct |
26 |
Correct |
4 ms |
460 KB |
Output is correct |
27 |
Correct |
3 ms |
460 KB |
Output is correct |
28 |
Correct |
3 ms |
332 KB |
Output is correct |
29 |
Correct |
3 ms |
460 KB |
Output is correct |
30 |
Correct |
3 ms |
328 KB |
Output is correct |
31 |
Correct |
3 ms |
460 KB |
Output is correct |
32 |
Correct |
3 ms |
332 KB |
Output is correct |
33 |
Correct |
3 ms |
460 KB |
Output is correct |
34 |
Correct |
902 ms |
42344 KB |
Output is correct |
35 |
Correct |
802 ms |
42036 KB |
Output is correct |
36 |
Correct |
791 ms |
41340 KB |
Output is correct |
37 |
Correct |
805 ms |
42276 KB |
Output is correct |
38 |
Correct |
794 ms |
42072 KB |
Output is correct |
39 |
Correct |
763 ms |
41340 KB |
Output is correct |
40 |
Correct |
843 ms |
44688 KB |
Output is correct |
41 |
Correct |
796 ms |
42232 KB |
Output is correct |
42 |
Correct |
832 ms |
43848 KB |
Output is correct |
43 |
Correct |
862 ms |
45264 KB |
Output is correct |
44 |
Correct |
864 ms |
45368 KB |
Output is correct |
45 |
Correct |
906 ms |
45244 KB |
Output is correct |
46 |
Correct |
860 ms |
45140 KB |
Output is correct |
47 |
Correct |
822 ms |
44364 KB |
Output is correct |
48 |
Correct |
819 ms |
44080 KB |
Output is correct |
49 |
Correct |
861 ms |
44920 KB |
Output is correct |
50 |
Correct |
837 ms |
44516 KB |
Output is correct |
51 |
Correct |
844 ms |
44436 KB |
Output is correct |
52 |
Correct |
492 ms |
33444 KB |
Output is correct |
53 |
Correct |
494 ms |
33464 KB |
Output is correct |
54 |
Correct |
481 ms |
33472 KB |
Output is correct |
55 |
Correct |
480 ms |
33184 KB |
Output is correct |
56 |
Correct |
980 ms |
45396 KB |
Output is correct |
57 |
Correct |
739 ms |
40328 KB |
Output is correct |
58 |
Correct |
786 ms |
40428 KB |
Output is correct |
59 |
Correct |
760 ms |
40532 KB |
Output is correct |
60 |
Correct |
718 ms |
38628 KB |
Output is correct |
61 |
Correct |
754 ms |
40820 KB |
Output is correct |
62 |
Correct |
722 ms |
40272 KB |
Output is correct |
63 |
Correct |
720 ms |
40868 KB |
Output is correct |
64 |
Correct |
689 ms |
39536 KB |
Output is correct |
65 |
Correct |
761 ms |
40896 KB |
Output is correct |