#include <bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;
const int N = 1e6 + 3;
pair<int, int> dp[N][2];
int n, a[N][2];
pair<int, int> merge(const pair<int, int> &l, const pair<int, int> &r){
if(l == pair{1, 0} || r == pair{1, 0}) return (l == pair{1, 0}) ? r : l;
return {min(l.first, r.first), max(l.second, r.second)};
}
void output(int i, int j, int target = n / 2){
if(i == 0) return;
target -= j;
if(dp[i - 1][0].first <= target && target <= dp[i - 1][0].second && a[i - 1][0] <= a[i][j])
output(i - 1, 0, target);
else
output(i - 1, 1, target);
cout << (j ? "B" : "A");
}
int main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
n *= 2;
for(int i = 1; i <= n; ++i) cin >> a[i][0];
for(int i = 1; i <= n; ++i) cin >> a[i][1];
dp[1][0] = {0, 0};
dp[1][1] = {1, 1};
for(int i = 2; i <= n; ++i)
for(int j = 0; j <= 1; ++j){
auto &ans = dp[i][j];
ans = {1, 0};
if(a[i - 1][0] <= a[i][j])
ans = merge(ans, dp[i - 1][0]);
if(a[i - 1][1] <= a[i][j])
ans = merge(ans, dp[i - 1][1]);
if(ans != pair{1, 0} && j){
ans.first++;
ans.second++;
}
//cout << ans.first << " " << ans.second << " - " << i << " " << j << endl;
}
if(dp[n][0].first <= n / 2 && n / 2 <= dp[n][0].second)
output(n, 0);
else if(dp[n][1].first <= n / 2 && n / 2 <= dp[n][1].second)
output(n, 1);
else
cout << "-1";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
492 KB |
Output is correct |
6 |
Correct |
2 ms |
492 KB |
Output is correct |
7 |
Correct |
2 ms |
492 KB |
Output is correct |
8 |
Correct |
2 ms |
492 KB |
Output is correct |
9 |
Correct |
2 ms |
492 KB |
Output is correct |
10 |
Correct |
2 ms |
492 KB |
Output is correct |
11 |
Correct |
2 ms |
492 KB |
Output is correct |
12 |
Correct |
2 ms |
492 KB |
Output is correct |
13 |
Correct |
2 ms |
492 KB |
Output is correct |
14 |
Correct |
2 ms |
492 KB |
Output is correct |
15 |
Correct |
2 ms |
492 KB |
Output is correct |
16 |
Correct |
2 ms |
492 KB |
Output is correct |
17 |
Correct |
2 ms |
492 KB |
Output is correct |
18 |
Correct |
2 ms |
512 KB |
Output is correct |
19 |
Correct |
3 ms |
492 KB |
Output is correct |
20 |
Correct |
2 ms |
492 KB |
Output is correct |
21 |
Correct |
2 ms |
492 KB |
Output is correct |
22 |
Correct |
2 ms |
492 KB |
Output is correct |
23 |
Correct |
2 ms |
492 KB |
Output is correct |
24 |
Correct |
2 ms |
492 KB |
Output is correct |
25 |
Correct |
2 ms |
492 KB |
Output is correct |
26 |
Correct |
2 ms |
492 KB |
Output is correct |
27 |
Correct |
2 ms |
492 KB |
Output is correct |
28 |
Correct |
2 ms |
492 KB |
Output is correct |
29 |
Correct |
3 ms |
492 KB |
Output is correct |
30 |
Correct |
2 ms |
492 KB |
Output is correct |
31 |
Correct |
2 ms |
492 KB |
Output is correct |
32 |
Correct |
2 ms |
492 KB |
Output is correct |
33 |
Correct |
2 ms |
492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
492 KB |
Output is correct |
6 |
Correct |
2 ms |
492 KB |
Output is correct |
7 |
Correct |
2 ms |
492 KB |
Output is correct |
8 |
Correct |
2 ms |
492 KB |
Output is correct |
9 |
Correct |
2 ms |
492 KB |
Output is correct |
10 |
Correct |
2 ms |
492 KB |
Output is correct |
11 |
Correct |
2 ms |
492 KB |
Output is correct |
12 |
Correct |
2 ms |
492 KB |
Output is correct |
13 |
Correct |
2 ms |
492 KB |
Output is correct |
14 |
Correct |
2 ms |
492 KB |
Output is correct |
15 |
Correct |
2 ms |
492 KB |
Output is correct |
16 |
Correct |
2 ms |
492 KB |
Output is correct |
17 |
Correct |
2 ms |
492 KB |
Output is correct |
18 |
Correct |
2 ms |
512 KB |
Output is correct |
19 |
Correct |
3 ms |
492 KB |
Output is correct |
20 |
Correct |
2 ms |
492 KB |
Output is correct |
21 |
Correct |
2 ms |
492 KB |
Output is correct |
22 |
Correct |
2 ms |
492 KB |
Output is correct |
23 |
Correct |
2 ms |
492 KB |
Output is correct |
24 |
Correct |
2 ms |
492 KB |
Output is correct |
25 |
Correct |
2 ms |
492 KB |
Output is correct |
26 |
Correct |
2 ms |
492 KB |
Output is correct |
27 |
Correct |
2 ms |
492 KB |
Output is correct |
28 |
Correct |
2 ms |
492 KB |
Output is correct |
29 |
Correct |
3 ms |
492 KB |
Output is correct |
30 |
Correct |
2 ms |
492 KB |
Output is correct |
31 |
Correct |
2 ms |
492 KB |
Output is correct |
32 |
Correct |
2 ms |
492 KB |
Output is correct |
33 |
Correct |
2 ms |
492 KB |
Output is correct |
34 |
Correct |
242 ms |
23532 KB |
Output is correct |
35 |
Correct |
276 ms |
39020 KB |
Output is correct |
36 |
Correct |
272 ms |
40812 KB |
Output is correct |
37 |
Correct |
278 ms |
39148 KB |
Output is correct |
38 |
Correct |
266 ms |
39276 KB |
Output is correct |
39 |
Correct |
268 ms |
45548 KB |
Output is correct |
40 |
Correct |
292 ms |
41820 KB |
Output is correct |
41 |
Correct |
275 ms |
42348 KB |
Output is correct |
42 |
Correct |
299 ms |
53228 KB |
Output is correct |
43 |
Correct |
298 ms |
41964 KB |
Output is correct |
44 |
Correct |
304 ms |
41964 KB |
Output is correct |
45 |
Correct |
304 ms |
41964 KB |
Output is correct |
46 |
Correct |
284 ms |
41968 KB |
Output is correct |
47 |
Correct |
294 ms |
57844 KB |
Output is correct |
48 |
Correct |
289 ms |
58860 KB |
Output is correct |
49 |
Correct |
281 ms |
41964 KB |
Output is correct |
50 |
Correct |
300 ms |
54252 KB |
Output is correct |
51 |
Correct |
302 ms |
54252 KB |
Output is correct |
52 |
Correct |
231 ms |
48108 KB |
Output is correct |
53 |
Correct |
232 ms |
48236 KB |
Output is correct |
54 |
Correct |
219 ms |
48236 KB |
Output is correct |
55 |
Correct |
221 ms |
47852 KB |
Output is correct |
56 |
Correct |
283 ms |
41964 KB |
Output is correct |
57 |
Correct |
267 ms |
51564 KB |
Output is correct |
58 |
Correct |
259 ms |
51820 KB |
Output is correct |
59 |
Correct |
260 ms |
51564 KB |
Output is correct |
60 |
Correct |
246 ms |
49388 KB |
Output is correct |
61 |
Correct |
269 ms |
51436 KB |
Output is correct |
62 |
Correct |
259 ms |
50924 KB |
Output is correct |
63 |
Correct |
270 ms |
51436 KB |
Output is correct |
64 |
Correct |
251 ms |
50284 KB |
Output is correct |
65 |
Correct |
274 ms |
51436 KB |
Output is correct |