#include <iostream>
#include <vector>
#include <utility>
#include <sstream>
#include <climits>
#include <cstring>
#include <algorithm>
#define ll long long
#define ld long double
using namespace std;
const ll mod = 1e9 + 7;
const int maxn = 5e5 + 5, maxn1 = 2e3 + 5;
typedef vector<int> vi;
typedef pair<int, int> ii;
typedef vector<ii> vii;
bool can_construct[maxn1][maxn1][2];
int arr[2 * maxn][2], dp_min[2 * maxn][2], dp_max[2 * maxn][2];
void solve()
{
int n;
cin >> n;
for (int i = 0; i < 2 * n; i++)
{
cin >> arr[i][0];
}
for (int i = 0; i < 2 * n; i++)
{
cin >> arr[i][1];
}
dp_min[0][0] = 0, dp_max[0][0] = 0;
dp_min[0][1] = 1, dp_max[0][1] = 1;
for (int i = 1; i < 2 * n; i++)
{
for (int curr = 0; curr < 2; curr++)
{
dp_min[i][curr] = i + 1;
for (int prev = 0; prev < 2; prev++)
{
if (arr[i][curr] >= arr[i - 1][prev])
{
dp_min[i][curr] = min(dp_min[i][curr], dp_min[i - 1][prev] + curr);
dp_max[i][curr] = max(dp_max[i][curr], dp_max[i - 1][prev] + curr);
}
}
}
}
int curr_arr = -1, n_arr1 = n;
for (int i = 0; i < 2; i++)
{
if (dp_min[2 * n - 1][i] <= n && n <= dp_max[2 * n - 1][i])
{
curr_arr = i;
break;
}
}
if (curr_arr == -1)
{
cout << -1;
return;
}
string ans;
for (int i = 2 * n - 1; i >= 0; i--)
{
ans += (curr_arr ? 'B' : 'A');
for (int nxt = 0; nxt < 2; nxt++)
{
if (i > 0 && arr[i][curr_arr] >= arr[i - 1][nxt] && dp_min[i - 1][nxt] <= n_arr1 - curr_arr && n_arr1 - curr_arr <= dp_max[i - 1][nxt])
{
n_arr1 -= curr_arr;
curr_arr = nxt;
break;
}
}
}
reverse(ans.begin(), ans.end());
cout << ans;
}
int main()
{
// freopen("input_text", "r", stdin);
// freopen("output_text", "w", stdout);
// ios_base::sync_with_stdio(NULL); cin.tie(0); cout.tie(0);
int t = 1;
// cin >> t;
while (t-- > 0)
solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
340 KB |
Output is correct |
6 |
Correct |
4 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
340 KB |
Output is correct |
8 |
Correct |
2 ms |
340 KB |
Output is correct |
9 |
Correct |
2 ms |
324 KB |
Output is correct |
10 |
Correct |
2 ms |
340 KB |
Output is correct |
11 |
Correct |
3 ms |
340 KB |
Output is correct |
12 |
Correct |
3 ms |
340 KB |
Output is correct |
13 |
Correct |
3 ms |
340 KB |
Output is correct |
14 |
Correct |
3 ms |
340 KB |
Output is correct |
15 |
Correct |
2 ms |
340 KB |
Output is correct |
16 |
Correct |
3 ms |
356 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
3 ms |
340 KB |
Output is correct |
19 |
Correct |
3 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
2 ms |
340 KB |
Output is correct |
26 |
Correct |
2 ms |
340 KB |
Output is correct |
27 |
Correct |
2 ms |
340 KB |
Output is correct |
28 |
Correct |
2 ms |
340 KB |
Output is correct |
29 |
Correct |
2 ms |
340 KB |
Output is correct |
30 |
Correct |
2 ms |
340 KB |
Output is correct |
31 |
Correct |
2 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
3 ms |
340 KB |
Output is correct |
6 |
Correct |
4 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
340 KB |
Output is correct |
8 |
Correct |
2 ms |
340 KB |
Output is correct |
9 |
Correct |
2 ms |
324 KB |
Output is correct |
10 |
Correct |
2 ms |
340 KB |
Output is correct |
11 |
Correct |
3 ms |
340 KB |
Output is correct |
12 |
Correct |
3 ms |
340 KB |
Output is correct |
13 |
Correct |
3 ms |
340 KB |
Output is correct |
14 |
Correct |
3 ms |
340 KB |
Output is correct |
15 |
Correct |
2 ms |
340 KB |
Output is correct |
16 |
Correct |
3 ms |
356 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
3 ms |
340 KB |
Output is correct |
19 |
Correct |
3 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
2 ms |
340 KB |
Output is correct |
24 |
Correct |
3 ms |
340 KB |
Output is correct |
25 |
Correct |
2 ms |
340 KB |
Output is correct |
26 |
Correct |
2 ms |
340 KB |
Output is correct |
27 |
Correct |
2 ms |
340 KB |
Output is correct |
28 |
Correct |
2 ms |
340 KB |
Output is correct |
29 |
Correct |
2 ms |
340 KB |
Output is correct |
30 |
Correct |
2 ms |
340 KB |
Output is correct |
31 |
Correct |
2 ms |
340 KB |
Output is correct |
32 |
Correct |
2 ms |
340 KB |
Output is correct |
33 |
Correct |
2 ms |
340 KB |
Output is correct |
34 |
Correct |
550 ms |
23404 KB |
Output is correct |
35 |
Correct |
572 ms |
23996 KB |
Output is correct |
36 |
Correct |
576 ms |
23648 KB |
Output is correct |
37 |
Correct |
522 ms |
24032 KB |
Output is correct |
38 |
Correct |
528 ms |
24028 KB |
Output is correct |
39 |
Correct |
500 ms |
24240 KB |
Output is correct |
40 |
Correct |
559 ms |
25736 KB |
Output is correct |
41 |
Correct |
519 ms |
24640 KB |
Output is correct |
42 |
Correct |
541 ms |
25092 KB |
Output is correct |
43 |
Correct |
596 ms |
25776 KB |
Output is correct |
44 |
Correct |
645 ms |
25880 KB |
Output is correct |
45 |
Correct |
580 ms |
25856 KB |
Output is correct |
46 |
Correct |
563 ms |
25780 KB |
Output is correct |
47 |
Correct |
561 ms |
25900 KB |
Output is correct |
48 |
Correct |
553 ms |
25840 KB |
Output is correct |
49 |
Correct |
562 ms |
25848 KB |
Output is correct |
50 |
Correct |
591 ms |
25840 KB |
Output is correct |
51 |
Correct |
580 ms |
25772 KB |
Output is correct |
52 |
Correct |
325 ms |
25848 KB |
Output is correct |
53 |
Correct |
328 ms |
25852 KB |
Output is correct |
54 |
Correct |
329 ms |
25844 KB |
Output is correct |
55 |
Correct |
318 ms |
25844 KB |
Output is correct |
56 |
Correct |
606 ms |
25892 KB |
Output is correct |
57 |
Correct |
488 ms |
25744 KB |
Output is correct |
58 |
Correct |
473 ms |
25844 KB |
Output is correct |
59 |
Correct |
501 ms |
25864 KB |
Output is correct |
60 |
Correct |
426 ms |
24268 KB |
Output is correct |
61 |
Correct |
473 ms |
25840 KB |
Output is correct |
62 |
Correct |
466 ms |
25684 KB |
Output is correct |
63 |
Correct |
463 ms |
25836 KB |
Output is correct |
64 |
Correct |
479 ms |
24944 KB |
Output is correct |
65 |
Correct |
493 ms |
25824 KB |
Output is correct |