#include <bits/stdc++.h>
#define pii pair<int, int>
#define F first
#define S second
using namespace std;
int N, A[1000006], B[1000006];
const pii emp = pii(0, -1);
pii dp[1000006][2];
pii operator+(pii p, int i)
{
return pii(p.F + i, p.S + i);
}
pii merge(pii p1, pii p2)
{
if (p1.S < p1.F)
return p2;
if (p2.S < p2.F)
return p1;
assert(max(p1.S, p2.S) - min(p1.F, p2.F) + 1 <= p1.S + p2.S - p1.F - p2.F + 2);
return pii(min(p1.F, p2.F), max(p1.S, p2.S));
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
cin >> N;
for (int i = 1; i <= 2 * N; i++)
cin >> A[i];
for (int i = 1; i <= 2 * N; i++)
cin >> B[i];
for (int i = 0; i <= 2 * N; i++)
dp[i][0] = dp[i][1] = emp;
dp[0][0] = pii(0, 0);
for (int i = 1; i <= 2 * N; i++)
{
if (A[i - 1] <= A[i])
dp[i][0] = merge(dp[i][0], dp[i - 1][0] + 1);
if (B[i - 1] <= A[i])
dp[i][0] = merge(dp[i][0], dp[i - 1][1] + 1);
if (A[i - 1] <= B[i])
dp[i][1] = merge(dp[i][1], dp[i - 1][0]);
if (B[i - 1] <= B[i])
dp[i][1] = merge(dp[i][1], dp[i - 1][1]);
}
string ans;
int cur = N, i = 2 * N, j = -1;
if (dp[i][0].F <= cur && cur <= dp[i][0].S)
j = 0;
if (dp[i][1].F <= cur && cur <= dp[i][1].S)
j = 1;
if (j < 0)
{
cout << -1 << '\n';
return 0;
}
while (i)
{
ans.push_back(j == 0 ? 'A' : 'B');
if (j == 0)
{
cur--;
if (A[i - 1] <= A[i] && dp[i - 1][0].F <= cur && cur <= dp[i - 1][0].S)
i--, j = 0;
else
i--, j = 1;
}
else
{
if (A[i - 1] <= B[i] && dp[i - 1][0].F <= cur && cur <= dp[i - 1][0].S)
i--, j = 0;
else
i--, j = 1;
}
}
reverse(ans.begin(), ans.end());
cout << ans << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
420 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
476 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
2 ms |
480 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
420 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 |
480 KB |
Output is correct |
24 |
Correct |
1 ms |
480 KB |
Output is correct |
25 |
Correct |
2 ms |
472 KB |
Output is correct |
26 |
Correct |
1 ms |
424 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
480 KB |
Output is correct |
30 |
Correct |
1 ms |
468 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 |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
420 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
476 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
2 ms |
480 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
420 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 |
480 KB |
Output is correct |
24 |
Correct |
1 ms |
480 KB |
Output is correct |
25 |
Correct |
2 ms |
472 KB |
Output is correct |
26 |
Correct |
1 ms |
424 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
480 KB |
Output is correct |
30 |
Correct |
1 ms |
468 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 |
468 KB |
Output is correct |
34 |
Correct |
208 ms |
42524 KB |
Output is correct |
35 |
Correct |
211 ms |
42056 KB |
Output is correct |
36 |
Correct |
200 ms |
41344 KB |
Output is correct |
37 |
Correct |
208 ms |
42112 KB |
Output is correct |
38 |
Correct |
205 ms |
42120 KB |
Output is correct |
39 |
Correct |
193 ms |
41404 KB |
Output is correct |
40 |
Correct |
206 ms |
44700 KB |
Output is correct |
41 |
Correct |
236 ms |
42256 KB |
Output is correct |
42 |
Correct |
210 ms |
43812 KB |
Output is correct |
43 |
Correct |
218 ms |
45380 KB |
Output is correct |
44 |
Correct |
218 ms |
45296 KB |
Output is correct |
45 |
Correct |
216 ms |
45228 KB |
Output is correct |
46 |
Correct |
217 ms |
45336 KB |
Output is correct |
47 |
Correct |
214 ms |
44356 KB |
Output is correct |
48 |
Correct |
210 ms |
44192 KB |
Output is correct |
49 |
Correct |
206 ms |
44920 KB |
Output is correct |
50 |
Correct |
219 ms |
44368 KB |
Output is correct |
51 |
Correct |
216 ms |
44528 KB |
Output is correct |
52 |
Correct |
153 ms |
33484 KB |
Output is correct |
53 |
Correct |
145 ms |
33484 KB |
Output is correct |
54 |
Correct |
151 ms |
33516 KB |
Output is correct |
55 |
Correct |
144 ms |
33172 KB |
Output is correct |
56 |
Correct |
208 ms |
45532 KB |
Output is correct |
57 |
Correct |
178 ms |
40216 KB |
Output is correct |
58 |
Correct |
180 ms |
40388 KB |
Output is correct |
59 |
Correct |
176 ms |
40384 KB |
Output is correct |
60 |
Correct |
167 ms |
38360 KB |
Output is correct |
61 |
Correct |
184 ms |
40900 KB |
Output is correct |
62 |
Correct |
182 ms |
40316 KB |
Output is correct |
63 |
Correct |
180 ms |
40900 KB |
Output is correct |
64 |
Correct |
181 ms |
39516 KB |
Output is correct |
65 |
Correct |
179 ms |
40884 KB |
Output is correct |