#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define sp ' '
#define en '\n'
#define smin(a, b) a = min(a, b)
#define smax(a, b) a = max(a, b)
using namespace std;
const int N = 1e6 + 2;
const int inf = 1e9;
int a[N][2], dpl[N][2], dpr[N][2], ans[N];
void Resi(int i, int j, int k) {
if (i == 0) return;
ans[i] = j;
k -= j;
if (dpl[i - 1][0] <= k && k <= dpr[i - 1][0] && a[i - 1][0] <= a[i][j]) Resi(i - 1, 0, k);
else if (dpl[i - 1][1] <= k && k <= dpr[i - 1][1] && a[i - 1][1] <= a[i][j]) Resi(i - 1, 1, k);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n; cin >> n;
n = 2 * n;
for (int i = 1; i <= n; i++) cin >> a[i][0];
for (int i = 1; i <= n; i++) cin >> a[i][1];
for (int i = 1; i <= n; i++) for (int j = 0; j < 2; j++) dpl[i][j] = inf, dpr[i][j] = -inf;
dpl[1][0] = dpr[1][0] = 0;
dpl[1][1] = dpr[1][1] = 1;
for (int i = 2; i <= n; i++) {
for (int j = 0; j < 2; j++) {
for (int pj = 0; pj < 2; pj++) {
if (a[i - 1][pj] > a[i][j]) continue;
smin(dpl[i][j], dpl[i - 1][pj] + j);
smax(dpr[i][j], dpr[i - 1][pj] + j);
}
}
}
if (dpl[n][0] <= n / 2 && n / 2 <= dpr[n][0]) Resi(n, 0, n / 2);
else if (dpl[n][1] <= n / 2 && n / 2 <= dpr[n][1]) Resi(n, 1, n / 2);
else {cout << -1; return 0;}
for (int i = 1; i <= n; i++) {
if (ans[i] == 0) cout << 'A';
if (ans[i] == 1) cout << 'B';
}
cout << en;
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 |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
2 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 |
428 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 |
468 KB |
Output is correct |
13 |
Correct |
2 ms |
544 KB |
Output is correct |
14 |
Correct |
2 ms |
416 KB |
Output is correct |
15 |
Correct |
2 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
472 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
412 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
420 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
2 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
2 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
472 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
392 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 |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
2 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 |
428 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 |
468 KB |
Output is correct |
13 |
Correct |
2 ms |
544 KB |
Output is correct |
14 |
Correct |
2 ms |
416 KB |
Output is correct |
15 |
Correct |
2 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
472 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
412 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
420 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
2 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
2 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
472 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
392 KB |
Output is correct |
34 |
Correct |
205 ms |
42428 KB |
Output is correct |
35 |
Correct |
237 ms |
44700 KB |
Output is correct |
36 |
Correct |
261 ms |
43804 KB |
Output is correct |
37 |
Correct |
230 ms |
44652 KB |
Output is correct |
38 |
Correct |
235 ms |
44712 KB |
Output is correct |
39 |
Correct |
220 ms |
43824 KB |
Output is correct |
40 |
Correct |
226 ms |
47520 KB |
Output is correct |
41 |
Correct |
202 ms |
44908 KB |
Output is correct |
42 |
Correct |
226 ms |
46412 KB |
Output is correct |
43 |
Correct |
233 ms |
47972 KB |
Output is correct |
44 |
Correct |
248 ms |
47976 KB |
Output is correct |
45 |
Correct |
234 ms |
47924 KB |
Output is correct |
46 |
Correct |
220 ms |
48016 KB |
Output is correct |
47 |
Correct |
230 ms |
47016 KB |
Output is correct |
48 |
Correct |
223 ms |
46920 KB |
Output is correct |
49 |
Correct |
239 ms |
47712 KB |
Output is correct |
50 |
Correct |
248 ms |
47172 KB |
Output is correct |
51 |
Correct |
246 ms |
47172 KB |
Output is correct |
52 |
Correct |
163 ms |
36260 KB |
Output is correct |
53 |
Correct |
166 ms |
36280 KB |
Output is correct |
54 |
Correct |
155 ms |
36244 KB |
Output is correct |
55 |
Correct |
152 ms |
35960 KB |
Output is correct |
56 |
Correct |
226 ms |
48068 KB |
Output is correct |
57 |
Correct |
199 ms |
43084 KB |
Output is correct |
58 |
Correct |
202 ms |
43124 KB |
Output is correct |
59 |
Correct |
202 ms |
43212 KB |
Output is correct |
60 |
Correct |
179 ms |
41164 KB |
Output is correct |
61 |
Correct |
190 ms |
43596 KB |
Output is correct |
62 |
Correct |
190 ms |
43080 KB |
Output is correct |
63 |
Correct |
198 ms |
43712 KB |
Output is correct |
64 |
Correct |
202 ms |
42208 KB |
Output is correct |
65 |
Correct |
219 ms |
43812 KB |
Output is correct |