#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
const int INF = 1000000007;
int a[1000005];
int b[1000005];
pair <int, int> dp[1000005][2];
string res = "";
void uradi(int n, int koji, int kolko){
if(n == 1){
if(koji == 0) res += 'A';
else res += 'B';
return;
}
if(koji == 0){
if(a[n] >= a[n-1] && dp[n-1][0].first <= kolko && dp[n-1][0].second >= kolko) uradi(n-1, 0, kolko-1);
else uradi(n-1, 1, kolko);
res += 'A';
}
else{
if(b[n] >= a[n-1] && dp[n-1][0].first <= kolko && dp[n-1][0].second >= kolko) uradi(n-1, 0, kolko-1);
else uradi(n-1, 1, kolko);
res += 'B';
}
}
int main(){
ios_base::sync_with_stdio(false), cin.tie(0);
cout.precision(10);
cout << fixed;
int n;
cin >> n;
for(int i=1; i<=2*n; i++){
cin >> a[i];
}
for(int i=1; i<=2*n; i++){
cin >> b[i];
}
for(int i=1; i<=2*n; i++){
dp[i][0] = dp[i][1] = {INF, -INF};
if(a[i] >= a[i-1]){
dp[i][0].second = max(dp[i][0].second, dp[i-1][0].second+1);
dp[i][0].first = min(dp[i][0].first, dp[i-1][0].first+1);
}
if(a[i] >= b[i-1]){
dp[i][0].second = max(dp[i][0].second, dp[i-1][1].second+1);
dp[i][0].first = min(dp[i][0].first, dp[i-1][1].first+1);
}
if(b[i] >= a[i-1]){
dp[i][1].second = max(dp[i][1].second, dp[i-1][0].second);
dp[i][1].first = min(dp[i][1].first, dp[i-1][0].first);
}
if(b[i] >= b[i-1]){
dp[i][1].second = max(dp[i][1].second, dp[i-1][1].second);
dp[i][1].first = min(dp[i][1].first, dp[i-1][1].first);
}
}
if(dp[2*n][1].second >= n && dp[2*n][1].first <= n){
uradi(2*n, 1, n);
cout << res;
return 0;
}
if(dp[2*n][0].second >= n && dp[2*n][0].first <= n){
uradi(2*n, 0, n-1);
cout << res;
return 0;
}
cout << -1;
return 0;
}
/*
1
1 2
1 2
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
256 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
6 ms |
512 KB |
Output is correct |
6 |
Correct |
6 ms |
640 KB |
Output is correct |
7 |
Correct |
6 ms |
640 KB |
Output is correct |
8 |
Correct |
6 ms |
640 KB |
Output is correct |
9 |
Correct |
6 ms |
640 KB |
Output is correct |
10 |
Correct |
6 ms |
640 KB |
Output is correct |
11 |
Correct |
6 ms |
640 KB |
Output is correct |
12 |
Correct |
6 ms |
640 KB |
Output is correct |
13 |
Correct |
6 ms |
640 KB |
Output is correct |
14 |
Correct |
6 ms |
640 KB |
Output is correct |
15 |
Correct |
6 ms |
640 KB |
Output is correct |
16 |
Correct |
6 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
640 KB |
Output is correct |
18 |
Correct |
6 ms |
640 KB |
Output is correct |
19 |
Correct |
6 ms |
640 KB |
Output is correct |
20 |
Correct |
5 ms |
640 KB |
Output is correct |
21 |
Correct |
6 ms |
640 KB |
Output is correct |
22 |
Correct |
6 ms |
640 KB |
Output is correct |
23 |
Correct |
5 ms |
640 KB |
Output is correct |
24 |
Correct |
6 ms |
640 KB |
Output is correct |
25 |
Correct |
6 ms |
640 KB |
Output is correct |
26 |
Correct |
5 ms |
640 KB |
Output is correct |
27 |
Correct |
5 ms |
640 KB |
Output is correct |
28 |
Correct |
5 ms |
640 KB |
Output is correct |
29 |
Correct |
5 ms |
640 KB |
Output is correct |
30 |
Correct |
6 ms |
640 KB |
Output is correct |
31 |
Correct |
5 ms |
640 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
5 ms |
640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
256 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
6 ms |
512 KB |
Output is correct |
6 |
Correct |
6 ms |
640 KB |
Output is correct |
7 |
Correct |
6 ms |
640 KB |
Output is correct |
8 |
Correct |
6 ms |
640 KB |
Output is correct |
9 |
Correct |
6 ms |
640 KB |
Output is correct |
10 |
Correct |
6 ms |
640 KB |
Output is correct |
11 |
Correct |
6 ms |
640 KB |
Output is correct |
12 |
Correct |
6 ms |
640 KB |
Output is correct |
13 |
Correct |
6 ms |
640 KB |
Output is correct |
14 |
Correct |
6 ms |
640 KB |
Output is correct |
15 |
Correct |
6 ms |
640 KB |
Output is correct |
16 |
Correct |
6 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
640 KB |
Output is correct |
18 |
Correct |
6 ms |
640 KB |
Output is correct |
19 |
Correct |
6 ms |
640 KB |
Output is correct |
20 |
Correct |
5 ms |
640 KB |
Output is correct |
21 |
Correct |
6 ms |
640 KB |
Output is correct |
22 |
Correct |
6 ms |
640 KB |
Output is correct |
23 |
Correct |
5 ms |
640 KB |
Output is correct |
24 |
Correct |
6 ms |
640 KB |
Output is correct |
25 |
Correct |
6 ms |
640 KB |
Output is correct |
26 |
Correct |
5 ms |
640 KB |
Output is correct |
27 |
Correct |
5 ms |
640 KB |
Output is correct |
28 |
Correct |
5 ms |
640 KB |
Output is correct |
29 |
Correct |
5 ms |
640 KB |
Output is correct |
30 |
Correct |
6 ms |
640 KB |
Output is correct |
31 |
Correct |
5 ms |
640 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
5 ms |
640 KB |
Output is correct |
34 |
Correct |
302 ms |
25184 KB |
Output is correct |
35 |
Correct |
312 ms |
57904 KB |
Output is correct |
36 |
Correct |
320 ms |
60120 KB |
Output is correct |
37 |
Correct |
322 ms |
55856 KB |
Output is correct |
38 |
Correct |
314 ms |
56036 KB |
Output is correct |
39 |
Correct |
291 ms |
62768 KB |
Output is correct |
40 |
Correct |
316 ms |
58604 KB |
Output is correct |
41 |
Correct |
299 ms |
62384 KB |
Output is correct |
42 |
Correct |
314 ms |
57224 KB |
Output is correct |
43 |
Correct |
340 ms |
58860 KB |
Output is correct |
44 |
Correct |
340 ms |
58860 KB |
Output is correct |
45 |
Correct |
340 ms |
58988 KB |
Output is correct |
46 |
Correct |
312 ms |
58860 KB |
Output is correct |
47 |
Correct |
325 ms |
58860 KB |
Output is correct |
48 |
Correct |
325 ms |
58860 KB |
Output is correct |
49 |
Correct |
321 ms |
58988 KB |
Output is correct |
50 |
Correct |
340 ms |
59032 KB |
Output is correct |
51 |
Correct |
348 ms |
58860 KB |
Output is correct |
52 |
Correct |
229 ms |
63724 KB |
Output is correct |
53 |
Correct |
215 ms |
63720 KB |
Output is correct |
54 |
Correct |
190 ms |
63596 KB |
Output is correct |
55 |
Correct |
215 ms |
63724 KB |
Output is correct |
56 |
Correct |
320 ms |
58860 KB |
Output is correct |
57 |
Correct |
310 ms |
67564 KB |
Output is correct |
58 |
Correct |
293 ms |
67948 KB |
Output is correct |
59 |
Correct |
297 ms |
67816 KB |
Output is correct |
60 |
Correct |
268 ms |
63536 KB |
Output is correct |
61 |
Correct |
306 ms |
68844 KB |
Output is correct |
62 |
Correct |
291 ms |
68080 KB |
Output is correct |
63 |
Correct |
287 ms |
69228 KB |
Output is correct |
64 |
Correct |
279 ms |
66608 KB |
Output is correct |
65 |
Correct |
301 ms |
69868 KB |
Output is correct |