#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<ll> vii;
typedef pair<ll,ll> pii;
#define F first
#define S second
#define pb push_back
#define eb emplace_back
#define all(v) v.begin(),v.end()
#define pow poww
const ll M=5000;
const ll inf=2e18;
const ll mod=1e9+7;
ll pow(ll x,ll y){
ll res=1;
x%=mod;
while(y>0){
if((y&1))
res*=x,res%=mod;
x*=x,x%=mod;
y=(y>>1);
}
return res;
}
ll n,a[M],b[M];
bool dp[M][M][2];
int main(){
ios_base::sync_with_stdio(0),cin.tie(0);
int TC=1;
//cin>>TC;
while(TC--){
cin>>n;
n*=2;
for(int i=0;i<n;i++)
cin>>a[i];
for(int i=0;i<n;i++)
cin>>b[i];
dp[0][0][0]=dp[0][1][1]=1;
for(int i=1;i<n;i++){
if(a[i]>=b[i-1]){
for(int j=0;j<=i;j++){
if(dp[i-1][j][0])
dp[i][j+1][1]=1;
}
}
if(a[i]>=a[i-1]){
for(int j=0;j<=i;j++){
if(dp[i-1][j][1])
dp[i][j+1][1]=1;
}
}
if(b[i]>=b[i-1]){
for(int j=0;j<=i;j++){
if(dp[i-1][j][0])
dp[i][j][0]=1;
}
}
if(b[i]>=a[i-1]){
for(int j=0;j<=i;j++){
if(dp[i-1][j][1])
dp[i][j][0]=1;
}
}
}
ll cnt=n-1,cur=n/2;
string ans;
if(!dp[cnt][cur][0]&&!dp[cnt][cur][1]){
cout<<-1;
return 0;
}
bool c=0;
if(!dp[cnt][cur][0])
c=1;
if(c)
ans.pb('A'),cur--;
else
ans.pb('B');
cnt--;
while(cnt>0){
if(c){
if(a[cnt+1]>=b[cnt]&&dp[cnt][cur][0]){
ans.pb('B'),c=0;
cnt--;
}
else{
ans.pb('A'),c=1;
cnt--,cur--;
}
}
else{
if(b[cnt+1]>=b[cnt]&&dp[cnt][cur][0]){
ans.pb('B'),c=0;
cnt--;
}
else{
ans.pb('A'),c=1;
cnt--,cur--;
}
}
}
if(cur)
ans.pb('A');
else
ans.pb('B');
reverse(all(ans));
cout<<ans;
}
return 0;
}
/*
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
11 ms |
604 KB |
Output is correct |
6 |
Correct |
30 ms |
36188 KB |
Output is correct |
7 |
Correct |
13 ms |
33372 KB |
Output is correct |
8 |
Correct |
19 ms |
35548 KB |
Output is correct |
9 |
Correct |
16 ms |
35420 KB |
Output is correct |
10 |
Correct |
13 ms |
31320 KB |
Output is correct |
11 |
Correct |
16 ms |
37468 KB |
Output is correct |
12 |
Correct |
20 ms |
38236 KB |
Output is correct |
13 |
Correct |
20 ms |
35924 KB |
Output is correct |
14 |
Correct |
28 ms |
39628 KB |
Output is correct |
15 |
Correct |
21 ms |
39516 KB |
Output is correct |
16 |
Correct |
23 ms |
39512 KB |
Output is correct |
17 |
Correct |
22 ms |
39516 KB |
Output is correct |
18 |
Correct |
20 ms |
38236 KB |
Output is correct |
19 |
Correct |
22 ms |
39664 KB |
Output is correct |
20 |
Correct |
19 ms |
39508 KB |
Output is correct |
21 |
Correct |
19 ms |
38236 KB |
Output is correct |
22 |
Correct |
24 ms |
39508 KB |
Output is correct |
23 |
Correct |
25 ms |
39604 KB |
Output is correct |
24 |
Correct |
19 ms |
39516 KB |
Output is correct |
25 |
Correct |
22 ms |
39508 KB |
Output is correct |
26 |
Correct |
23 ms |
39508 KB |
Output is correct |
27 |
Correct |
22 ms |
39508 KB |
Output is correct |
28 |
Correct |
18 ms |
35420 KB |
Output is correct |
29 |
Correct |
22 ms |
39592 KB |
Output is correct |
30 |
Correct |
19 ms |
37468 KB |
Output is correct |
31 |
Correct |
23 ms |
39516 KB |
Output is correct |
32 |
Correct |
17 ms |
33368 KB |
Output is correct |
33 |
Correct |
22 ms |
39456 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
11 ms |
604 KB |
Output is correct |
6 |
Correct |
30 ms |
36188 KB |
Output is correct |
7 |
Correct |
13 ms |
33372 KB |
Output is correct |
8 |
Correct |
19 ms |
35548 KB |
Output is correct |
9 |
Correct |
16 ms |
35420 KB |
Output is correct |
10 |
Correct |
13 ms |
31320 KB |
Output is correct |
11 |
Correct |
16 ms |
37468 KB |
Output is correct |
12 |
Correct |
20 ms |
38236 KB |
Output is correct |
13 |
Correct |
20 ms |
35924 KB |
Output is correct |
14 |
Correct |
28 ms |
39628 KB |
Output is correct |
15 |
Correct |
21 ms |
39516 KB |
Output is correct |
16 |
Correct |
23 ms |
39512 KB |
Output is correct |
17 |
Correct |
22 ms |
39516 KB |
Output is correct |
18 |
Correct |
20 ms |
38236 KB |
Output is correct |
19 |
Correct |
22 ms |
39664 KB |
Output is correct |
20 |
Correct |
19 ms |
39508 KB |
Output is correct |
21 |
Correct |
19 ms |
38236 KB |
Output is correct |
22 |
Correct |
24 ms |
39508 KB |
Output is correct |
23 |
Correct |
25 ms |
39604 KB |
Output is correct |
24 |
Correct |
19 ms |
39516 KB |
Output is correct |
25 |
Correct |
22 ms |
39508 KB |
Output is correct |
26 |
Correct |
23 ms |
39508 KB |
Output is correct |
27 |
Correct |
22 ms |
39508 KB |
Output is correct |
28 |
Correct |
18 ms |
35420 KB |
Output is correct |
29 |
Correct |
22 ms |
39592 KB |
Output is correct |
30 |
Correct |
19 ms |
37468 KB |
Output is correct |
31 |
Correct |
23 ms |
39516 KB |
Output is correct |
32 |
Correct |
17 ms |
33368 KB |
Output is correct |
33 |
Correct |
22 ms |
39456 KB |
Output is correct |
34 |
Runtime error |
2 ms |
860 KB |
Execution killed with signal 11 |
35 |
Halted |
0 ms |
0 KB |
- |