#include<iostream>
using namespace std;
int inf=1e9;
pair<int,int> dp[1200000][2];
char wyn[1200000];
int a[1200000],b[1200000];
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n;
cin>>n;
for(int i=0;i<=2*n;i++)
{
dp[i][0]={inf,-inf};
dp[i][1]={inf,-inf};
}
for(int i=0;i<2*n;i++)
cin>>a[i];
for(int i=0;i<2*n;i++)
cin>>b[i];
dp[0][0]={0,0};
dp[0][1]={1,1};
for(int i=0;i<2*n;i++)
{
if(a[i]<=a[i+1])
{
dp[i+1][1].first=min(dp[i][1].first+1,dp[i+1][1].first);
dp[i+1][1].second=max(dp[i][1].second+1,dp[i+1][1].second);
}
if(a[i]<=b[i+1])
{
dp[i+1][0].first=min(dp[i][1].first,dp[i+1][0].first);
dp[i+1][0].second=max(dp[i+1][0].second,dp[i][1].second);
}
if(b[i]<=a[i+1])
{
dp[i+1][1].first=min(dp[i+1][1].first,dp[i][0].first+1);
dp[i+1][1].second=max(dp[i+1][1].second,dp[i][0].second+1);
}
if(b[i]<=b[i+1])
{
dp[i+1][0].first=min(dp[i+1][0].first,dp[i][0].first);
dp[i+1][0].second=max(dp[i+1][0].second,dp[i][0].second);
}
}
int zostalo=n,ost=inf;
for(int i=2*n-1;i>=0;i--)
{
if(dp[i][1].first<=zostalo && dp[i][1].second>=zostalo && a[i]<=ost)
{
wyn[i]='A';
ost=a[i];
zostalo--;
}
else if(dp[i][0].first<=zostalo && dp[i][0].second>=zostalo && b[i]<=ost)
{
wyn[i]='B';
ost=b[i];
}
else{
cout<<"-1";
return 0;
}
}
for(int i=0;i<2*n;i++)
cout<<wyn[i];
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
2 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
428 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
2 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
428 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
211 ms |
42408 KB |
Output is correct |
35 |
Correct |
239 ms |
41876 KB |
Output is correct |
36 |
Correct |
221 ms |
41196 KB |
Output is correct |
37 |
Correct |
224 ms |
42148 KB |
Output is correct |
38 |
Correct |
211 ms |
42108 KB |
Output is correct |
39 |
Correct |
209 ms |
41216 KB |
Output is correct |
40 |
Correct |
226 ms |
44688 KB |
Output is correct |
41 |
Correct |
214 ms |
42160 KB |
Output is correct |
42 |
Correct |
227 ms |
43624 KB |
Output is correct |
43 |
Correct |
235 ms |
45132 KB |
Output is correct |
44 |
Correct |
245 ms |
45132 KB |
Output is correct |
45 |
Correct |
239 ms |
45216 KB |
Output is correct |
46 |
Correct |
229 ms |
45020 KB |
Output is correct |
47 |
Correct |
228 ms |
44236 KB |
Output is correct |
48 |
Correct |
222 ms |
43976 KB |
Output is correct |
49 |
Correct |
231 ms |
44840 KB |
Output is correct |
50 |
Correct |
246 ms |
44304 KB |
Output is correct |
51 |
Correct |
233 ms |
44228 KB |
Output is correct |
52 |
Correct |
164 ms |
33356 KB |
Output is correct |
53 |
Correct |
166 ms |
33344 KB |
Output is correct |
54 |
Correct |
158 ms |
33340 KB |
Output is correct |
55 |
Correct |
160 ms |
33096 KB |
Output is correct |
56 |
Correct |
227 ms |
45520 KB |
Output is correct |
57 |
Correct |
200 ms |
40140 KB |
Output is correct |
58 |
Correct |
210 ms |
40644 KB |
Output is correct |
59 |
Correct |
196 ms |
40268 KB |
Output is correct |
60 |
Correct |
197 ms |
38216 KB |
Output is correct |
61 |
Correct |
213 ms |
40808 KB |
Output is correct |
62 |
Correct |
213 ms |
40204 KB |
Output is correct |
63 |
Correct |
198 ms |
40728 KB |
Output is correct |
64 |
Correct |
192 ms |
39376 KB |
Output is correct |
65 |
Correct |
198 ms |
40896 KB |
Output is correct |