#include "bits/stdc++.h"
using namespace std;
const int N=1e6;
int n;
int a[N], b[N];
int dp[N][2][2];
int main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n;
for(int i=0; i<2*n; i++){
cin >> a[i];
}
for(int i=0; i<2*n; i++){
cin >> b[i];
}
// dp[i][A/B][min/max]
dp[0][0][0]=dp[0][0][1]=1;
dp[0][1][0]=dp[0][1][1]=0;
for(int i=1; i<2*n; i++){
dp[i][0][0]=dp[i][1][0]=1e9;
dp[i][0][1]=dp[i][1][1]=-1e9;
dp[i][0][0]=min(a[i-1]<=a[i]?dp[i-1][0][0]+1:1e9, b[i-1]<=a[i]?dp[i-1][1][0]+1:1e9);
dp[i][0][1]=max(a[i-1]<=a[i]?dp[i-1][0][1]+1:-1e9, b[i-1]<=a[i]?dp[i-1][1][1]+1:-1e9);
dp[i][1][0]=min(a[i-1]<=b[i]?dp[i-1][0][0]:1e9, b[i-1]<=b[i]?dp[i-1][1][0]:1e9);
dp[i][1][1]=max(a[i-1]<=b[i]?dp[i-1][0][1]:-1e9, b[i-1]<=b[i]?dp[i-1][1][1]:-1e9);
// cout << dp[i][0][0] << " " << dp[i][0][1] << " " << dp[i][1][0] << " " << dp[i][1][1] << "\n";
}
if((dp[2*n-1][0][0]<=n && dp[2*n-1][0][1]>=n) || (dp[2*n-1][1][0]<=n && dp[2*n-1][1][1]>=n)){
int k=n;
string ans(" ", 2*n);
// cout << ans.size() << "\n";
int lst=1e9;
for(int i=2*n-1; i>=1; i--){
// cout << "k " << k << " lst " << lst << "\n";
if(a[i]<=lst && dp[i][0][0]<=k && dp[i][0][1]>=k){
ans[i]='A';
lst=a[i];
k--;
}
else ans[i]='B', lst=b[i];
}
if(k) ans[0]='A';
else ans[0]='B';
cout << ans;
}
else cout << -1;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 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 |
2 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
420 KB |
Output is correct |
12 |
Correct |
2 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
1 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
2 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 |
408 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
476 KB |
Output is correct |
22 |
Correct |
2 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
380 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
376 KB |
Output is correct |
31 |
Correct |
1 ms |
572 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
472 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 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 |
2 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
420 KB |
Output is correct |
12 |
Correct |
2 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
1 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
2 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 |
408 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
476 KB |
Output is correct |
22 |
Correct |
2 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
380 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
376 KB |
Output is correct |
31 |
Correct |
1 ms |
572 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
472 KB |
Output is correct |
34 |
Correct |
236 ms |
24672 KB |
Output is correct |
35 |
Correct |
242 ms |
25124 KB |
Output is correct |
36 |
Correct |
233 ms |
24624 KB |
Output is correct |
37 |
Correct |
213 ms |
25316 KB |
Output is correct |
38 |
Correct |
202 ms |
25316 KB |
Output is correct |
39 |
Correct |
218 ms |
25740 KB |
Output is correct |
40 |
Correct |
226 ms |
26920 KB |
Output is correct |
41 |
Correct |
194 ms |
25800 KB |
Output is correct |
42 |
Correct |
234 ms |
26244 KB |
Output is correct |
43 |
Correct |
248 ms |
27040 KB |
Output is correct |
44 |
Correct |
240 ms |
27060 KB |
Output is correct |
45 |
Correct |
242 ms |
27104 KB |
Output is correct |
46 |
Correct |
227 ms |
27036 KB |
Output is correct |
47 |
Correct |
207 ms |
26960 KB |
Output is correct |
48 |
Correct |
211 ms |
27016 KB |
Output is correct |
49 |
Correct |
208 ms |
27084 KB |
Output is correct |
50 |
Correct |
235 ms |
26976 KB |
Output is correct |
51 |
Correct |
241 ms |
26928 KB |
Output is correct |
52 |
Correct |
194 ms |
26952 KB |
Output is correct |
53 |
Correct |
170 ms |
26924 KB |
Output is correct |
54 |
Correct |
173 ms |
26940 KB |
Output is correct |
55 |
Correct |
153 ms |
26968 KB |
Output is correct |
56 |
Correct |
231 ms |
27012 KB |
Output is correct |
57 |
Correct |
195 ms |
27188 KB |
Output is correct |
58 |
Correct |
208 ms |
27104 KB |
Output is correct |
59 |
Correct |
195 ms |
27104 KB |
Output is correct |
60 |
Correct |
174 ms |
25648 KB |
Output is correct |
61 |
Correct |
188 ms |
26916 KB |
Output is correct |
62 |
Correct |
195 ms |
26608 KB |
Output is correct |
63 |
Correct |
188 ms |
27024 KB |
Output is correct |
64 |
Correct |
182 ms |
26092 KB |
Output is correct |
65 |
Correct |
195 ms |
27052 KB |
Output is correct |