#include <bits/stdc++.h>
#define all(v) v.begin(),v.end()
using namespace std;
const int INF=1e9;
struct itv{
int l,r;
};
itv operator+(itv a,itv b){
return {min(a.l,b.l),max(a.r,b.r)};
}
int N;
int A[1000001],B[1000001];
itv DP[1000001][2];
string Ans;
itv dp(int i,int j){
itv &ret=DP[i][j];
if (ret.l!=-1||ret.r!=-1)
return ret;
ret={INF,-1};
int tmp=(j?B[i]:A[i]);
if (A[i-1]<=tmp&&(dp(i-1,0).l!=INF||dp(i-1,0).r!=-1))
ret=ret+dp(i-1,0);
if (B[i-1]<=tmp&&(dp(i-1,1).l!=INF||dp(i-1,1).r!=-1))
ret=ret+dp(i-1,1);
if (ret.l==INF&&ret.r==-1)
return ret;
if (!j){
ret.l++;
ret.r++;
}
return ret;
}
bool f(itv a,int x){
return (a.l<=x&&x<=a.r);
}
void solve(int i,int j,int k){
if (!i)
return;
if (k){
Ans+='B';
if (A[i-1]<=B[i]&&f(dp(i-1,0),j))
solve(i-1,j,0);
else
solve(i-1,j,1);
}
else{
Ans+='A';
if (A[i-1]<=A[i]&&f(dp(i-1,0),j-1))
solve(i-1,j-1,0);
else
solve(i-1,j-1,1);
}
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>N;
for (int i=1; i<=2*N; i++)
DP[i][0]=DP[i][1]={-1,-1};
for (int i=1; i<=2*N; i++)
cin>>A[i];
for (int i=1; i<=2*N; i++)
cin>>B[i];
if (f(dp(N*2,0),N)){
solve(N*2,N,0);
reverse(all(Ans));
cout<<Ans;
return 0;
}
if (f(dp(N*2,1),N)){
solve(N*2,N,1);
reverse(all(Ans));
cout<<Ans;
return 0;
}
cout<<"-1";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
428 KB |
Output is correct |
6 |
Correct |
2 ms |
724 KB |
Output is correct |
7 |
Correct |
2 ms |
684 KB |
Output is correct |
8 |
Correct |
2 ms |
680 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
2 ms |
596 KB |
Output is correct |
11 |
Correct |
1 ms |
724 KB |
Output is correct |
12 |
Correct |
2 ms |
724 KB |
Output is correct |
13 |
Correct |
2 ms |
724 KB |
Output is correct |
14 |
Correct |
2 ms |
724 KB |
Output is correct |
15 |
Correct |
3 ms |
724 KB |
Output is correct |
16 |
Correct |
2 ms |
724 KB |
Output is correct |
17 |
Correct |
2 ms |
724 KB |
Output is correct |
18 |
Correct |
2 ms |
724 KB |
Output is correct |
19 |
Correct |
1 ms |
820 KB |
Output is correct |
20 |
Correct |
1 ms |
724 KB |
Output is correct |
21 |
Correct |
1 ms |
724 KB |
Output is correct |
22 |
Correct |
1 ms |
812 KB |
Output is correct |
23 |
Correct |
1 ms |
724 KB |
Output is correct |
24 |
Correct |
2 ms |
724 KB |
Output is correct |
25 |
Correct |
1 ms |
724 KB |
Output is correct |
26 |
Correct |
2 ms |
724 KB |
Output is correct |
27 |
Correct |
2 ms |
724 KB |
Output is correct |
28 |
Correct |
1 ms |
724 KB |
Output is correct |
29 |
Correct |
1 ms |
724 KB |
Output is correct |
30 |
Correct |
1 ms |
724 KB |
Output is correct |
31 |
Correct |
1 ms |
724 KB |
Output is correct |
32 |
Correct |
1 ms |
724 KB |
Output is correct |
33 |
Correct |
1 ms |
724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
428 KB |
Output is correct |
6 |
Correct |
2 ms |
724 KB |
Output is correct |
7 |
Correct |
2 ms |
684 KB |
Output is correct |
8 |
Correct |
2 ms |
680 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
2 ms |
596 KB |
Output is correct |
11 |
Correct |
1 ms |
724 KB |
Output is correct |
12 |
Correct |
2 ms |
724 KB |
Output is correct |
13 |
Correct |
2 ms |
724 KB |
Output is correct |
14 |
Correct |
2 ms |
724 KB |
Output is correct |
15 |
Correct |
3 ms |
724 KB |
Output is correct |
16 |
Correct |
2 ms |
724 KB |
Output is correct |
17 |
Correct |
2 ms |
724 KB |
Output is correct |
18 |
Correct |
2 ms |
724 KB |
Output is correct |
19 |
Correct |
1 ms |
820 KB |
Output is correct |
20 |
Correct |
1 ms |
724 KB |
Output is correct |
21 |
Correct |
1 ms |
724 KB |
Output is correct |
22 |
Correct |
1 ms |
812 KB |
Output is correct |
23 |
Correct |
1 ms |
724 KB |
Output is correct |
24 |
Correct |
2 ms |
724 KB |
Output is correct |
25 |
Correct |
1 ms |
724 KB |
Output is correct |
26 |
Correct |
2 ms |
724 KB |
Output is correct |
27 |
Correct |
2 ms |
724 KB |
Output is correct |
28 |
Correct |
1 ms |
724 KB |
Output is correct |
29 |
Correct |
1 ms |
724 KB |
Output is correct |
30 |
Correct |
1 ms |
724 KB |
Output is correct |
31 |
Correct |
1 ms |
724 KB |
Output is correct |
32 |
Correct |
1 ms |
724 KB |
Output is correct |
33 |
Correct |
1 ms |
724 KB |
Output is correct |
34 |
Correct |
195 ms |
42368 KB |
Output is correct |
35 |
Correct |
278 ms |
129008 KB |
Output is correct |
36 |
Correct |
271 ms |
127040 KB |
Output is correct |
37 |
Correct |
277 ms |
129640 KB |
Output is correct |
38 |
Correct |
295 ms |
129504 KB |
Output is correct |
39 |
Correct |
269 ms |
129148 KB |
Output is correct |
40 |
Correct |
315 ms |
138136 KB |
Output is correct |
41 |
Correct |
271 ms |
131580 KB |
Output is correct |
42 |
Correct |
283 ms |
134688 KB |
Output is correct |
43 |
Correct |
296 ms |
139064 KB |
Output is correct |
44 |
Correct |
294 ms |
139076 KB |
Output is correct |
45 |
Correct |
305 ms |
139184 KB |
Output is correct |
46 |
Correct |
310 ms |
139176 KB |
Output is correct |
47 |
Correct |
287 ms |
138272 KB |
Output is correct |
48 |
Correct |
289 ms |
137960 KB |
Output is correct |
49 |
Correct |
297 ms |
138812 KB |
Output is correct |
50 |
Correct |
299 ms |
138376 KB |
Output is correct |
51 |
Correct |
303 ms |
138288 KB |
Output is correct |
52 |
Correct |
232 ms |
127428 KB |
Output is correct |
53 |
Correct |
229 ms |
127392 KB |
Output is correct |
54 |
Correct |
225 ms |
127376 KB |
Output is correct |
55 |
Correct |
221 ms |
127140 KB |
Output is correct |
56 |
Correct |
295 ms |
139280 KB |
Output is correct |
57 |
Correct |
245 ms |
133676 KB |
Output is correct |
58 |
Correct |
245 ms |
134284 KB |
Output is correct |
59 |
Correct |
339 ms |
134292 KB |
Output is correct |
60 |
Correct |
253 ms |
126660 KB |
Output is correct |
61 |
Correct |
271 ms |
134772 KB |
Output is correct |
62 |
Correct |
247 ms |
132832 KB |
Output is correct |
63 |
Correct |
257 ms |
134760 KB |
Output is correct |
64 |
Correct |
246 ms |
130128 KB |
Output is correct |
65 |
Correct |
261 ms |
134776 KB |
Output is correct |