#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define all(aaa) aaa.begin(), aaa.end()
const int N = 1e6 + 5;
pair<int, int> dp[N][2];
int a[N][2];
int n;
pair<int, int> mrg(pair<int, int> a, pair<int, int> b) {
if (a.first > a.second)
return b;
if (b.first > b.second)
return a;
return {min(a.first, b.first), max(a.second, b.second)};
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
for (int j = 0; j < 2; j++) {
for (int i = 0; i < n + n; i++) {
cin >> a[i][j];
}
}
for (int i = 0; i <= n + n; i++) {
for (int j = 0; j < 2; j++) {
dp[i][j] = {1, 0};
}
}
dp[1][0] = {0, 0};
dp[1][1] = {1, 1};
for (int i = 1; i < n + n; i++) {
for (int j = 0; j < 2; j++) {
for (int k = 0; k < 2; k++) {
if (a[i - 1][j] <= a[i][k]) {
dp[i + 1][k] = mrg(dp[i + 1][k], dp[i][j]);
}
}
}
dp[i + 1][1].first++;
dp[i + 1][1].second++;
}
int x = n + n, y = -1, z = n;
for (int i = 0; i < 2; i++) {
if (dp[n + n][i].first <= n && n <= dp[n + n][i].second) {
y = i;
break;
}
}
if (y == -1) {
cout << "-1";
}
else {
string ans;
while (true) {
ans.push_back({y ? 'B' : 'A'});
if (x == 1)
break;
z -= y;
x--;
for (int i = 0; i < 2; i++) {
if (a[x - 1][i] <= a[x][y] &&
dp[x][i].first <= z && z <= dp[x][i].second) {
y = i;
break;
}
}
}
reverse(all(ans));
cout << ans << "\n";
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 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 |
6 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
7 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 |
6 ms |
512 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
7 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 |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
6 ms |
512 KB |
Output is correct |
22 |
Correct |
6 ms |
512 KB |
Output is correct |
23 |
Correct |
6 ms |
512 KB |
Output is correct |
24 |
Correct |
7 ms |
512 KB |
Output is correct |
25 |
Correct |
6 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 |
6 ms |
512 KB |
Output is correct |
29 |
Correct |
5 ms |
512 KB |
Output is correct |
30 |
Correct |
5 ms |
512 KB |
Output is correct |
31 |
Correct |
6 ms |
512 KB |
Output is correct |
32 |
Correct |
6 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 |
5 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 |
6 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
7 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 |
6 ms |
512 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
7 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 |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
6 ms |
512 KB |
Output is correct |
22 |
Correct |
6 ms |
512 KB |
Output is correct |
23 |
Correct |
6 ms |
512 KB |
Output is correct |
24 |
Correct |
7 ms |
512 KB |
Output is correct |
25 |
Correct |
6 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 |
6 ms |
512 KB |
Output is correct |
29 |
Correct |
5 ms |
512 KB |
Output is correct |
30 |
Correct |
5 ms |
512 KB |
Output is correct |
31 |
Correct |
6 ms |
512 KB |
Output is correct |
32 |
Correct |
6 ms |
512 KB |
Output is correct |
33 |
Correct |
6 ms |
512 KB |
Output is correct |
34 |
Correct |
335 ms |
30404 KB |
Output is correct |
35 |
Correct |
300 ms |
42032 KB |
Output is correct |
36 |
Correct |
317 ms |
41468 KB |
Output is correct |
37 |
Correct |
331 ms |
42244 KB |
Output is correct |
38 |
Correct |
287 ms |
42160 KB |
Output is correct |
39 |
Correct |
283 ms |
41392 KB |
Output is correct |
40 |
Correct |
311 ms |
34284 KB |
Output is correct |
41 |
Correct |
298 ms |
42416 KB |
Output is correct |
42 |
Correct |
328 ms |
38068 KB |
Output is correct |
43 |
Correct |
336 ms |
28780 KB |
Output is correct |
44 |
Correct |
356 ms |
28712 KB |
Output is correct |
45 |
Correct |
333 ms |
28780 KB |
Output is correct |
46 |
Correct |
309 ms |
28668 KB |
Output is correct |
47 |
Correct |
331 ms |
41028 KB |
Output is correct |
48 |
Correct |
315 ms |
44268 KB |
Output is correct |
49 |
Correct |
323 ms |
32644 KB |
Output is correct |
50 |
Correct |
327 ms |
39788 KB |
Output is correct |
51 |
Correct |
328 ms |
39788 KB |
Output is correct |
52 |
Correct |
195 ms |
33776 KB |
Output is correct |
53 |
Correct |
203 ms |
33516 KB |
Output is correct |
54 |
Correct |
195 ms |
33636 KB |
Output is correct |
55 |
Correct |
183 ms |
33260 KB |
Output is correct |
56 |
Correct |
316 ms |
28716 KB |
Output is correct |
57 |
Correct |
279 ms |
40300 KB |
Output is correct |
58 |
Correct |
286 ms |
40556 KB |
Output is correct |
59 |
Correct |
278 ms |
40556 KB |
Output is correct |
60 |
Correct |
263 ms |
38496 KB |
Output is correct |
61 |
Correct |
285 ms |
41032 KB |
Output is correct |
62 |
Correct |
283 ms |
40428 KB |
Output is correct |
63 |
Correct |
283 ms |
40944 KB |
Output is correct |
64 |
Correct |
264 ms |
39728 KB |
Output is correct |
65 |
Correct |
278 ms |
41080 KB |
Output is correct |