#include <bits/stdc++.h>
using namespace std;
typedef pair<int,int> pii;
const int inf=1e9;
int n,a[1000001],b[1000001];
pii dp[1000001][2];
pii merge(pii a, pii b) {return pii(min(a.first,b.first),max(a.second,b.second));}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin>>n;
for (int i=0; i<2*n; ++i) cin>>a[i];
for (int i=0; i<2*n; ++i) cin>>b[i];
dp[0][0]=pii(0,0);
dp[0][1]=pii(1,1);
for (int i=1; i<2*n; ++i) {
dp[i][0]=pii(inf,-inf);
if (a[i]>=a[i-1]) dp[i][0]=merge(dp[i][0],dp[i-1][0]);
if (a[i]>=b[i-1]) dp[i][0]=merge(dp[i][0],dp[i-1][1]);
dp[i][1]=pii(inf,-inf);
if (b[i]>=a[i-1]) dp[i][1]=merge(dp[i][1],dp[i-1][0]);
if (b[i]>=b[i-1]) dp[i][1]=merge(dp[i][1],dp[i-1][1]);
dp[i][1]=pii(dp[i][1].first+1,dp[i][1].second+1);
}
if (dp[2*n-1][0].first<=n && n<=dp[2*n-1][0].second) {
string ans="A";
int cnt=n, last=a[2*n-1];
for (int i=2*n-2; i>=0; --i) {
if (cnt==0) ans+='A';
else {
if (a[i]<=last && dp[i][0].first<=cnt && cnt<=dp[i][0].second) ans+='A', last=a[i];
else ans+='B', --cnt, last=b[i];
}
}
reverse(ans.begin(),ans.end());
cout<<ans;
return 0;
}
if (dp[2*n-1][1].first<=n && n<=dp[2*n-1][1].second) {
string ans="B";
int cnt=n-1, last=b[2*n-1];
for (int i=2*n-2; i>=0; --i) {
if (cnt==0) ans+='A';
else {
if (a[i]<=last && dp[i][0].first<=cnt && cnt<=dp[i][0].second) ans+='A', last=a[i];
else ans+='B', --cnt, last=b[i];
}
}
reverse(ans.begin(),ans.end());
cout<<ans;
return 0;
}
cout<<-1;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
328 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
372 KB |
Output is correct |
8 |
Correct |
2 ms |
468 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 |
2 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
476 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 |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
380 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
472 KB |
Output is correct |
25 |
Correct |
2 ms |
384 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
2 ms |
468 KB |
Output is correct |
29 |
Correct |
2 ms |
388 KB |
Output is correct |
30 |
Correct |
1 ms |
472 KB |
Output is correct |
31 |
Correct |
2 ms |
392 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
2 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
328 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
372 KB |
Output is correct |
8 |
Correct |
2 ms |
468 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 |
2 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
476 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 |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
380 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
472 KB |
Output is correct |
25 |
Correct |
2 ms |
384 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
2 ms |
468 KB |
Output is correct |
29 |
Correct |
2 ms |
388 KB |
Output is correct |
30 |
Correct |
1 ms |
472 KB |
Output is correct |
31 |
Correct |
2 ms |
392 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
2 ms |
468 KB |
Output is correct |
34 |
Correct |
168 ms |
42352 KB |
Output is correct |
35 |
Correct |
162 ms |
41940 KB |
Output is correct |
36 |
Correct |
159 ms |
41328 KB |
Output is correct |
37 |
Correct |
161 ms |
42176 KB |
Output is correct |
38 |
Correct |
156 ms |
42132 KB |
Output is correct |
39 |
Correct |
176 ms |
41344 KB |
Output is correct |
40 |
Correct |
187 ms |
44748 KB |
Output is correct |
41 |
Correct |
156 ms |
42304 KB |
Output is correct |
42 |
Correct |
177 ms |
43844 KB |
Output is correct |
43 |
Correct |
178 ms |
45256 KB |
Output is correct |
44 |
Correct |
190 ms |
45192 KB |
Output is correct |
45 |
Correct |
204 ms |
45212 KB |
Output is correct |
46 |
Correct |
172 ms |
45272 KB |
Output is correct |
47 |
Correct |
168 ms |
44356 KB |
Output is correct |
48 |
Correct |
185 ms |
44100 KB |
Output is correct |
49 |
Correct |
176 ms |
44944 KB |
Output is correct |
50 |
Correct |
173 ms |
44380 KB |
Output is correct |
51 |
Correct |
233 ms |
44392 KB |
Output is correct |
52 |
Correct |
128 ms |
33528 KB |
Output is correct |
53 |
Correct |
159 ms |
33604 KB |
Output is correct |
54 |
Correct |
111 ms |
33464 KB |
Output is correct |
55 |
Correct |
112 ms |
33168 KB |
Output is correct |
56 |
Correct |
167 ms |
45456 KB |
Output is correct |
57 |
Correct |
165 ms |
40200 KB |
Output is correct |
58 |
Correct |
162 ms |
40416 KB |
Output is correct |
59 |
Correct |
191 ms |
40416 KB |
Output is correct |
60 |
Correct |
137 ms |
38452 KB |
Output is correct |
61 |
Correct |
158 ms |
40908 KB |
Output is correct |
62 |
Correct |
144 ms |
40332 KB |
Output is correct |
63 |
Correct |
145 ms |
40900 KB |
Output is correct |
64 |
Correct |
167 ms |
39500 KB |
Output is correct |
65 |
Correct |
178 ms |
40888 KB |
Output is correct |