#include <bits/stdc++.h>
using namespace std;
const int N = 1e6;
int a[N][2];
int dp[N][2][2];
int main() {
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
int n;
cin >> n;
for (int j = 0; j < 2; ++j) {
for (int i = 0; i < 2 * n; ++i) {
cin >> a[i][j];
}
}
dp[0][0][0] = dp[0][0][1] = 1;
for (int i = 1; i < 2 * n; ++i) {
for (int j = 0; j < 2; ++j) {
dp[i][j][0] = 1e9;
dp[i][j][1] = -1e9;
for (int k = 0; k < 2; ++k) {
if (a[i - 1][k] > a[i][j]) {
continue;
}
dp[i][j][0] = min(dp[i][j][0], dp[i - 1][k][0] + (j ^ 1));
dp[i][j][1] = max(dp[i][j][1], dp[i - 1][k][1] + (j ^ 1));
}
}
}
for (int it = 0; it < 2; ++it) {
if (dp[2 * n - 1][it][0] > n or dp[2 * n - 1][it][1] < n) {
continue;
}
string ans;
ans += char('A' + it);
int tot = n - (it ^ 1);
for (int i = 2 * n - 2; i >= 0; --i) {
for (int j = 0; j < 2; ++j) {
if (a[i][j] <= a[i + 1][it] and dp[i][j][0] <= tot and tot <= dp[i][j][1] and tot >= (j ^ 1)) {
ans += char('A' + j);
tot -= (j ^ 1);
it = j;
break;
}
}
}
reverse(ans.begin(), ans.end());
cout << ans;
return 0;
}
cout << -1;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 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 |
512 KB |
Output is correct |
7 |
Correct |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
5 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
504 KB |
Output is correct |
10 |
Correct |
5 ms |
512 KB |
Output is correct |
11 |
Correct |
6 ms |
512 KB |
Output is correct |
12 |
Correct |
6 ms |
512 KB |
Output is correct |
13 |
Correct |
6 ms |
512 KB |
Output is correct |
14 |
Correct |
7 ms |
512 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
512 KB |
Output is correct |
18 |
Correct |
6 ms |
512 KB |
Output is correct |
19 |
Correct |
6 ms |
512 KB |
Output is correct |
20 |
Correct |
6 ms |
560 KB |
Output is correct |
21 |
Correct |
10 ms |
512 KB |
Output is correct |
22 |
Correct |
6 ms |
512 KB |
Output is correct |
23 |
Correct |
5 ms |
512 KB |
Output is correct |
24 |
Correct |
6 ms |
512 KB |
Output is correct |
25 |
Correct |
5 ms |
512 KB |
Output is correct |
26 |
Correct |
5 ms |
512 KB |
Output is correct |
27 |
Correct |
6 ms |
512 KB |
Output is correct |
28 |
Correct |
5 ms |
512 KB |
Output is correct |
29 |
Correct |
5 ms |
512 KB |
Output is correct |
30 |
Correct |
6 ms |
512 KB |
Output is correct |
31 |
Correct |
5 ms |
512 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
6 ms |
512 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 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 |
512 KB |
Output is correct |
7 |
Correct |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
5 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
504 KB |
Output is correct |
10 |
Correct |
5 ms |
512 KB |
Output is correct |
11 |
Correct |
6 ms |
512 KB |
Output is correct |
12 |
Correct |
6 ms |
512 KB |
Output is correct |
13 |
Correct |
6 ms |
512 KB |
Output is correct |
14 |
Correct |
7 ms |
512 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
512 KB |
Output is correct |
18 |
Correct |
6 ms |
512 KB |
Output is correct |
19 |
Correct |
6 ms |
512 KB |
Output is correct |
20 |
Correct |
6 ms |
560 KB |
Output is correct |
21 |
Correct |
10 ms |
512 KB |
Output is correct |
22 |
Correct |
6 ms |
512 KB |
Output is correct |
23 |
Correct |
5 ms |
512 KB |
Output is correct |
24 |
Correct |
6 ms |
512 KB |
Output is correct |
25 |
Correct |
5 ms |
512 KB |
Output is correct |
26 |
Correct |
5 ms |
512 KB |
Output is correct |
27 |
Correct |
6 ms |
512 KB |
Output is correct |
28 |
Correct |
5 ms |
512 KB |
Output is correct |
29 |
Correct |
5 ms |
512 KB |
Output is correct |
30 |
Correct |
6 ms |
512 KB |
Output is correct |
31 |
Correct |
5 ms |
512 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
6 ms |
512 KB |
Output is correct |
34 |
Correct |
308 ms |
23620 KB |
Output is correct |
35 |
Correct |
287 ms |
24624 KB |
Output is correct |
36 |
Correct |
283 ms |
24112 KB |
Output is correct |
37 |
Correct |
315 ms |
25180 KB |
Output is correct |
38 |
Correct |
294 ms |
25264 KB |
Output is correct |
39 |
Correct |
279 ms |
24880 KB |
Output is correct |
40 |
Correct |
307 ms |
25964 KB |
Output is correct |
41 |
Correct |
290 ms |
25008 KB |
Output is correct |
42 |
Correct |
300 ms |
25264 KB |
Output is correct |
43 |
Correct |
321 ms |
26868 KB |
Output is correct |
44 |
Correct |
321 ms |
26860 KB |
Output is correct |
45 |
Correct |
310 ms |
26476 KB |
Output is correct |
46 |
Correct |
291 ms |
26860 KB |
Output is correct |
47 |
Correct |
315 ms |
26348 KB |
Output is correct |
48 |
Correct |
313 ms |
26340 KB |
Output is correct |
49 |
Correct |
303 ms |
26916 KB |
Output is correct |
50 |
Correct |
306 ms |
26220 KB |
Output is correct |
51 |
Correct |
315 ms |
26092 KB |
Output is correct |
52 |
Correct |
190 ms |
26604 KB |
Output is correct |
53 |
Correct |
188 ms |
26732 KB |
Output is correct |
54 |
Correct |
167 ms |
26604 KB |
Output is correct |
55 |
Correct |
184 ms |
26732 KB |
Output is correct |
56 |
Correct |
317 ms |
26988 KB |
Output is correct |
57 |
Correct |
259 ms |
26348 KB |
Output is correct |
58 |
Correct |
271 ms |
26476 KB |
Output is correct |
59 |
Correct |
254 ms |
26604 KB |
Output is correct |
60 |
Correct |
259 ms |
24864 KB |
Output is correct |
61 |
Correct |
262 ms |
26476 KB |
Output is correct |
62 |
Correct |
264 ms |
26220 KB |
Output is correct |
63 |
Correct |
272 ms |
26476 KB |
Output is correct |
64 |
Correct |
263 ms |
25648 KB |
Output is correct |
65 |
Correct |
288 ms |
26564 KB |
Output is correct |