#include <bits/stdc++.h>
using namespace std;
const int nx=5e5+5;
int n, a[2*nx], b[2*nx], dp[2][2*nx][2], c, x;
int main(){
cin.tie(NULL)->sync_with_stdio(false);
cin>>n;
for (int i=1; i<=2*n; i++) cin>>a[i];
for (int i=1; i<=2*n; i++) cin>>b[i];
dp[0][1][0]=dp[0][1][1]=1;
for (int i=2; i<=2*n; i++){
dp[0][i][0]=dp[1][i][0]=1e9;
dp[0][i][1]=dp[1][i][1]=-1e9;
if (a[i]>=a[i-1]) dp[0][i][0]=min(dp[0][i][0], dp[0][i-1][0]+1), dp[0][i][1]=max(dp[0][i][1], dp[0][i-1][1]+1);
if (a[i]>=b[i-1]) dp[0][i][0]=min(dp[0][i][0], dp[1][i-1][0]+1), dp[0][i][1]=max(dp[0][i][1], dp[1][i-1][1]+1);
if (b[i]>=a[i-1]) dp[1][i][0]=min(dp[1][i][0], dp[0][i-1][0]), dp[1][i][1]=max(dp[1][i][1], dp[0][i-1][1]);
if (b[i]>=b[i-1]) dp[1][i][0]=min(dp[1][i][0], dp[1][i-1][0]), dp[1][i][1]=max(dp[1][i][1], dp[1][i-1][1]);
}
vector<bool> ans;
if (dp[0][2*n][0]<=n&&n<=dp[0][2*n][1]) x=n-1, c=0, ans.push_back(0);
else if (dp[1][2*n][0]<=n&&n<=dp[1][2*n][1]) x=n, c=1, ans.push_back(1);
else return cout<<-1, 0;
for (int i=2*n-1; i>=1; i--){
if (dp[0][i][0]<=x&&x<=dp[0][i][1]&&a[i]<=(c?b[i+1]:a[i+1])) --x, c=0, ans.push_back(0);
else ans.push_back(1), c=1;
}
for (int i=2*n-1; i>=0; i--) cout<<(ans[i]?'B':'A');
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
6492 KB |
Output is correct |
2 |
Correct |
2 ms |
6488 KB |
Output is correct |
3 |
Correct |
2 ms |
6492 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
3 ms |
6492 KB |
Output is correct |
6 |
Correct |
3 ms |
6492 KB |
Output is correct |
7 |
Correct |
3 ms |
6492 KB |
Output is correct |
8 |
Correct |
2 ms |
6492 KB |
Output is correct |
9 |
Correct |
2 ms |
6492 KB |
Output is correct |
10 |
Correct |
3 ms |
6492 KB |
Output is correct |
11 |
Correct |
3 ms |
6492 KB |
Output is correct |
12 |
Correct |
3 ms |
6492 KB |
Output is correct |
13 |
Correct |
3 ms |
6744 KB |
Output is correct |
14 |
Correct |
3 ms |
6616 KB |
Output is correct |
15 |
Correct |
3 ms |
6676 KB |
Output is correct |
16 |
Correct |
3 ms |
6492 KB |
Output is correct |
17 |
Correct |
3 ms |
6492 KB |
Output is correct |
18 |
Correct |
4 ms |
6492 KB |
Output is correct |
19 |
Correct |
2 ms |
6696 KB |
Output is correct |
20 |
Correct |
2 ms |
6624 KB |
Output is correct |
21 |
Correct |
2 ms |
6656 KB |
Output is correct |
22 |
Correct |
2 ms |
6492 KB |
Output is correct |
23 |
Correct |
3 ms |
6488 KB |
Output is correct |
24 |
Correct |
3 ms |
6488 KB |
Output is correct |
25 |
Correct |
2 ms |
6492 KB |
Output is correct |
26 |
Correct |
2 ms |
6492 KB |
Output is correct |
27 |
Correct |
2 ms |
6492 KB |
Output is correct |
28 |
Correct |
3 ms |
6492 KB |
Output is correct |
29 |
Correct |
2 ms |
6492 KB |
Output is correct |
30 |
Correct |
3 ms |
6492 KB |
Output is correct |
31 |
Correct |
3 ms |
6496 KB |
Output is correct |
32 |
Correct |
2 ms |
6488 KB |
Output is correct |
33 |
Correct |
2 ms |
6492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
6492 KB |
Output is correct |
2 |
Correct |
2 ms |
6488 KB |
Output is correct |
3 |
Correct |
2 ms |
6492 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
3 ms |
6492 KB |
Output is correct |
6 |
Correct |
3 ms |
6492 KB |
Output is correct |
7 |
Correct |
3 ms |
6492 KB |
Output is correct |
8 |
Correct |
2 ms |
6492 KB |
Output is correct |
9 |
Correct |
2 ms |
6492 KB |
Output is correct |
10 |
Correct |
3 ms |
6492 KB |
Output is correct |
11 |
Correct |
3 ms |
6492 KB |
Output is correct |
12 |
Correct |
3 ms |
6492 KB |
Output is correct |
13 |
Correct |
3 ms |
6744 KB |
Output is correct |
14 |
Correct |
3 ms |
6616 KB |
Output is correct |
15 |
Correct |
3 ms |
6676 KB |
Output is correct |
16 |
Correct |
3 ms |
6492 KB |
Output is correct |
17 |
Correct |
3 ms |
6492 KB |
Output is correct |
18 |
Correct |
4 ms |
6492 KB |
Output is correct |
19 |
Correct |
2 ms |
6696 KB |
Output is correct |
20 |
Correct |
2 ms |
6624 KB |
Output is correct |
21 |
Correct |
2 ms |
6656 KB |
Output is correct |
22 |
Correct |
2 ms |
6492 KB |
Output is correct |
23 |
Correct |
3 ms |
6488 KB |
Output is correct |
24 |
Correct |
3 ms |
6488 KB |
Output is correct |
25 |
Correct |
2 ms |
6492 KB |
Output is correct |
26 |
Correct |
2 ms |
6492 KB |
Output is correct |
27 |
Correct |
2 ms |
6492 KB |
Output is correct |
28 |
Correct |
3 ms |
6492 KB |
Output is correct |
29 |
Correct |
2 ms |
6492 KB |
Output is correct |
30 |
Correct |
3 ms |
6492 KB |
Output is correct |
31 |
Correct |
3 ms |
6496 KB |
Output is correct |
32 |
Correct |
2 ms |
6488 KB |
Output is correct |
33 |
Correct |
2 ms |
6492 KB |
Output is correct |
34 |
Correct |
176 ms |
42816 KB |
Output is correct |
35 |
Correct |
177 ms |
42580 KB |
Output is correct |
36 |
Correct |
181 ms |
42200 KB |
Output is correct |
37 |
Correct |
187 ms |
42808 KB |
Output is correct |
38 |
Correct |
181 ms |
42680 KB |
Output is correct |
39 |
Correct |
178 ms |
41812 KB |
Output is correct |
40 |
Correct |
185 ms |
44076 KB |
Output is correct |
41 |
Correct |
238 ms |
42436 KB |
Output is correct |
42 |
Correct |
187 ms |
43600 KB |
Output is correct |
43 |
Correct |
259 ms |
44472 KB |
Output is correct |
44 |
Correct |
194 ms |
44368 KB |
Output is correct |
45 |
Correct |
209 ms |
44480 KB |
Output is correct |
46 |
Correct |
185 ms |
44492 KB |
Output is correct |
47 |
Correct |
180 ms |
43700 KB |
Output is correct |
48 |
Correct |
183 ms |
43344 KB |
Output is correct |
49 |
Correct |
189 ms |
44472 KB |
Output is correct |
50 |
Correct |
196 ms |
43476 KB |
Output is correct |
51 |
Correct |
191 ms |
43712 KB |
Output is correct |
52 |
Correct |
140 ms |
32564 KB |
Output is correct |
53 |
Correct |
159 ms |
32596 KB |
Output is correct |
54 |
Correct |
137 ms |
32680 KB |
Output is correct |
55 |
Correct |
126 ms |
32416 KB |
Output is correct |
56 |
Correct |
195 ms |
44752 KB |
Output is correct |
57 |
Correct |
165 ms |
39460 KB |
Output is correct |
58 |
Correct |
193 ms |
39724 KB |
Output is correct |
59 |
Correct |
174 ms |
39612 KB |
Output is correct |
60 |
Correct |
165 ms |
38716 KB |
Output is correct |
61 |
Correct |
154 ms |
40120 KB |
Output is correct |
62 |
Correct |
250 ms |
39744 KB |
Output is correct |
63 |
Correct |
161 ms |
39984 KB |
Output is correct |
64 |
Correct |
152 ms |
39464 KB |
Output is correct |
65 |
Correct |
158 ms |
40008 KB |
Output is correct |