#include<bits/stdc++.h>
using namespace std;
#define all(x) x.begin(),x.end()
const int INF=1e9;
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;cin>>n;
int m=n*2;
vector<int> a(m+1),b(m+1);
for(int i=1;i<=m;i++){
cin>>a[i];
}
for(int i=1;i<=m;i++){
cin>>b[i];
}
vector<vector<int>> dp(4,vector<int>(m+1));
for(int i=1;i<=m;i++){
dp[0][i]=dp[2][i]=INF;
dp[1][i]=dp[3][i]=-INF;
}
for(int i=1;i<=m;i++){
if(a[i]>=a[i-1]){
dp[0][i]=min(dp[0][i],dp[0][i-1]+1);
dp[1][i]=max(dp[1][i],dp[1][i-1]+1);
}
if(a[i]>=b[i-1]){
dp[0][i]=min(dp[0][i],dp[2][i-1]+1);
dp[1][i]=max(dp[1][i],dp[3][i-1]+1);
}
if(b[i]>=a[i-1]){
dp[2][i]=min(dp[2][i],dp[0][i-1]);
dp[3][i]=max(dp[3][i],dp[1][i-1]);
}
if(b[i]>=b[i-1]){
dp[2][i]=min(dp[2][i],dp[2][i-1]);
dp[3][i]=max(dp[3][i],dp[3][i-1]);
}
}
int idx=-1;
if(n>=dp[0][m]&&n<=dp[1][m]){
idx=0;
}
if(n>=dp[2][m]&&n<=dp[3][m]){
idx=1;
}
if(idx==-1){
cout<<-1<<endl;
return 0;
}
vector<char> ans(m+1);
int need=n;
for(int i=m;i>0;i--){
if(idx==0){
need--;
ans[i]='A';
if(a[i]>=a[i-1]&&dp[0][i-1]<=need&&dp[1][i-1]>=need){
idx=0;
}
else{
idx=1;
}
}
else{
ans[i]='B';
if(b[i]>=a[i-1]&&dp[0][i-1]<=need&&dp[1][i-1]>=need){
idx=0;
}
else{
idx=1;
}
}
}
for(int i=1;i<=m;i++){
cout<<ans[i];
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
456 KB |
Output is correct |
9 |
Correct |
2 ms |
404 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
2 ms |
456 KB |
Output is correct |
13 |
Correct |
2 ms |
468 KB |
Output is correct |
14 |
Correct |
2 ms |
508 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
2 ms |
468 KB |
Output is correct |
18 |
Correct |
2 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
456 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
2 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 |
2 ms |
432 KB |
Output is correct |
25 |
Correct |
2 ms |
456 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
2 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
2 ms |
340 KB |
Output is correct |
31 |
Correct |
2 ms |
460 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
456 KB |
Output is correct |
9 |
Correct |
2 ms |
404 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
2 ms |
456 KB |
Output is correct |
13 |
Correct |
2 ms |
468 KB |
Output is correct |
14 |
Correct |
2 ms |
508 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
2 ms |
468 KB |
Output is correct |
18 |
Correct |
2 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
456 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
2 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 |
2 ms |
432 KB |
Output is correct |
25 |
Correct |
2 ms |
456 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
2 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
2 ms |
340 KB |
Output is correct |
31 |
Correct |
2 ms |
460 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
226 ms |
30044 KB |
Output is correct |
35 |
Correct |
234 ms |
31204 KB |
Output is correct |
36 |
Correct |
223 ms |
30740 KB |
Output is correct |
37 |
Correct |
224 ms |
31272 KB |
Output is correct |
38 |
Correct |
221 ms |
31284 KB |
Output is correct |
39 |
Correct |
218 ms |
32044 KB |
Output is correct |
40 |
Correct |
248 ms |
31156 KB |
Output is correct |
41 |
Correct |
227 ms |
31788 KB |
Output is correct |
42 |
Correct |
239 ms |
32384 KB |
Output is correct |
43 |
Correct |
244 ms |
30400 KB |
Output is correct |
44 |
Correct |
242 ms |
30468 KB |
Output is correct |
45 |
Correct |
239 ms |
30500 KB |
Output is correct |
46 |
Correct |
268 ms |
30360 KB |
Output is correct |
47 |
Correct |
261 ms |
33132 KB |
Output is correct |
48 |
Correct |
239 ms |
33240 KB |
Output is correct |
49 |
Correct |
251 ms |
30344 KB |
Output is correct |
50 |
Correct |
253 ms |
33160 KB |
Output is correct |
51 |
Correct |
238 ms |
33336 KB |
Output is correct |
52 |
Correct |
179 ms |
34132 KB |
Output is correct |
53 |
Correct |
162 ms |
33996 KB |
Output is correct |
54 |
Correct |
173 ms |
34036 KB |
Output is correct |
55 |
Correct |
164 ms |
33992 KB |
Output is correct |
56 |
Correct |
244 ms |
30508 KB |
Output is correct |
57 |
Correct |
198 ms |
33236 KB |
Output is correct |
58 |
Correct |
212 ms |
33368 KB |
Output is correct |
59 |
Correct |
211 ms |
33356 KB |
Output is correct |
60 |
Correct |
187 ms |
31552 KB |
Output is correct |
61 |
Correct |
198 ms |
33356 KB |
Output is correct |
62 |
Correct |
192 ms |
32924 KB |
Output is correct |
63 |
Correct |
199 ms |
33396 KB |
Output is correct |
64 |
Correct |
199 ms |
32368 KB |
Output is correct |
65 |
Correct |
204 ms |
33452 KB |
Output is correct |