#include <iostream>
using namespace std;
const int MAXN=1e6+10;
const int INF=1e9+10;
int a[MAXN], b[MAXN], arr[MAXN];
int dpa[MAXN][2], dpb[MAXN][2];
char ans[MAXN];
int main () {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
for (int i=0;i<2*n;i++) cin >> a[i];
for (int i=0;i<2*n;i++) cin >> b[i];
dpa[0][0]=1;
dpb[0][1]=1;
for (int i=1;i<2*n;i++) {
dpa[i][0]=dpb[i][0]=-INF;
dpa[i][1]=dpb[i][1]=-INF;
if (a[i]>=a[i-1]) {
dpa[i][0]=max(dpa[i][0],dpa[i-1][0]+1);
dpb[i][0]=max(dpb[i][0],dpb[i-1][0]);
}
if (a[i]>=b[i-1]) {
dpa[i][0]=max(dpa[i][0],dpa[i-1][1]+1);
dpb[i][0]=max(dpb[i][0],dpb[i-1][1]);
}
if (b[i]>=a[i-1]) {
dpa[i][1]=max(dpa[i][1],dpa[i-1][0]);
dpb[i][1]=max(dpb[i][1],dpb[i-1][0]+1);
}
if (b[i]>=b[i-1]) {
dpa[i][1]=max(dpa[i][1],dpa[i-1][1]);
dpb[i][1]=max(dpb[i][1],dpb[i-1][1]+1);
}
}
if (max(dpa[2*n-1][0],dpa[2*n-1][1])<n || max(dpb[2*n-1][0],dpb[2*n-1][1])<n) {
cout << -1 << endl;
return 0;
}
int cnta, cntb;
cnta=cntb=n;
arr[2*n]=INF;
for (int i=2*n-1;i>=0;i--) {
if (cnta>0 && a[i]<=arr[i+1] && dpa[i][0]>=cnta && dpb[i][0]>=cntb) {
cnta--;
arr[i]=a[i];
ans[i]='A';
continue;
}
if (cntb>0 && b[i]<=arr[i+1] && dpa[i][1]>=cnta && dpb[i][1]>=cntb) {
cntb--;
arr[i]=b[i];
ans[i]='B';
continue;
}
cout << -1 << endl;
return 0;
}
for (int i=0;i<2*n;i++) cout << ans[i];
cout << endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
10840 KB |
Output is correct |
2 |
Correct |
1 ms |
8540 KB |
Output is correct |
3 |
Correct |
1 ms |
10588 KB |
Output is correct |
4 |
Correct |
1 ms |
10588 KB |
Output is correct |
5 |
Correct |
3 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
10584 KB |
Output is correct |
7 |
Correct |
2 ms |
10588 KB |
Output is correct |
8 |
Correct |
2 ms |
10720 KB |
Output is correct |
9 |
Correct |
2 ms |
10588 KB |
Output is correct |
10 |
Correct |
3 ms |
10584 KB |
Output is correct |
11 |
Correct |
2 ms |
10588 KB |
Output is correct |
12 |
Correct |
3 ms |
10588 KB |
Output is correct |
13 |
Correct |
2 ms |
10588 KB |
Output is correct |
14 |
Correct |
3 ms |
10588 KB |
Output is correct |
15 |
Correct |
2 ms |
10588 KB |
Output is correct |
16 |
Correct |
2 ms |
8540 KB |
Output is correct |
17 |
Correct |
2 ms |
10584 KB |
Output is correct |
18 |
Correct |
2 ms |
10588 KB |
Output is correct |
19 |
Correct |
2 ms |
10588 KB |
Output is correct |
20 |
Correct |
2 ms |
10588 KB |
Output is correct |
21 |
Correct |
2 ms |
10584 KB |
Output is correct |
22 |
Correct |
2 ms |
10588 KB |
Output is correct |
23 |
Correct |
2 ms |
10584 KB |
Output is correct |
24 |
Correct |
2 ms |
10588 KB |
Output is correct |
25 |
Correct |
2 ms |
10584 KB |
Output is correct |
26 |
Correct |
2 ms |
10588 KB |
Output is correct |
27 |
Correct |
2 ms |
10588 KB |
Output is correct |
28 |
Correct |
3 ms |
10588 KB |
Output is correct |
29 |
Correct |
2 ms |
10588 KB |
Output is correct |
30 |
Correct |
2 ms |
10588 KB |
Output is correct |
31 |
Correct |
2 ms |
10588 KB |
Output is correct |
32 |
Correct |
3 ms |
10852 KB |
Output is correct |
33 |
Correct |
3 ms |
10584 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
10840 KB |
Output is correct |
2 |
Correct |
1 ms |
8540 KB |
Output is correct |
3 |
Correct |
1 ms |
10588 KB |
Output is correct |
4 |
Correct |
1 ms |
10588 KB |
Output is correct |
5 |
Correct |
3 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
10584 KB |
Output is correct |
7 |
Correct |
2 ms |
10588 KB |
Output is correct |
8 |
Correct |
2 ms |
10720 KB |
Output is correct |
9 |
Correct |
2 ms |
10588 KB |
Output is correct |
10 |
Correct |
3 ms |
10584 KB |
Output is correct |
11 |
Correct |
2 ms |
10588 KB |
Output is correct |
12 |
Correct |
3 ms |
10588 KB |
Output is correct |
13 |
Correct |
2 ms |
10588 KB |
Output is correct |
14 |
Correct |
3 ms |
10588 KB |
Output is correct |
15 |
Correct |
2 ms |
10588 KB |
Output is correct |
16 |
Correct |
2 ms |
8540 KB |
Output is correct |
17 |
Correct |
2 ms |
10584 KB |
Output is correct |
18 |
Correct |
2 ms |
10588 KB |
Output is correct |
19 |
Correct |
2 ms |
10588 KB |
Output is correct |
20 |
Correct |
2 ms |
10588 KB |
Output is correct |
21 |
Correct |
2 ms |
10584 KB |
Output is correct |
22 |
Correct |
2 ms |
10588 KB |
Output is correct |
23 |
Correct |
2 ms |
10584 KB |
Output is correct |
24 |
Correct |
2 ms |
10588 KB |
Output is correct |
25 |
Correct |
2 ms |
10584 KB |
Output is correct |
26 |
Correct |
2 ms |
10588 KB |
Output is correct |
27 |
Correct |
2 ms |
10588 KB |
Output is correct |
28 |
Correct |
3 ms |
10588 KB |
Output is correct |
29 |
Correct |
2 ms |
10588 KB |
Output is correct |
30 |
Correct |
2 ms |
10588 KB |
Output is correct |
31 |
Correct |
2 ms |
10588 KB |
Output is correct |
32 |
Correct |
3 ms |
10852 KB |
Output is correct |
33 |
Correct |
3 ms |
10584 KB |
Output is correct |
34 |
Correct |
163 ms |
45520 KB |
Output is correct |
35 |
Correct |
181 ms |
47272 KB |
Output is correct |
36 |
Correct |
206 ms |
46912 KB |
Output is correct |
37 |
Correct |
178 ms |
47444 KB |
Output is correct |
38 |
Correct |
165 ms |
47384 KB |
Output is correct |
39 |
Correct |
162 ms |
46420 KB |
Output is correct |
40 |
Correct |
186 ms |
48564 KB |
Output is correct |
41 |
Correct |
164 ms |
47024 KB |
Output is correct |
42 |
Correct |
185 ms |
48052 KB |
Output is correct |
43 |
Correct |
187 ms |
48948 KB |
Output is correct |
44 |
Correct |
200 ms |
49080 KB |
Output is correct |
45 |
Correct |
192 ms |
49096 KB |
Output is correct |
46 |
Correct |
182 ms |
48976 KB |
Output is correct |
47 |
Correct |
180 ms |
48208 KB |
Output is correct |
48 |
Correct |
185 ms |
47868 KB |
Output is correct |
49 |
Correct |
176 ms |
48724 KB |
Output is correct |
50 |
Correct |
194 ms |
48208 KB |
Output is correct |
51 |
Correct |
198 ms |
48300 KB |
Output is correct |
52 |
Correct |
130 ms |
37204 KB |
Output is correct |
53 |
Correct |
135 ms |
37460 KB |
Output is correct |
54 |
Correct |
122 ms |
37200 KB |
Output is correct |
55 |
Correct |
122 ms |
36944 KB |
Output is correct |
56 |
Correct |
204 ms |
49236 KB |
Output is correct |
57 |
Correct |
159 ms |
44180 KB |
Output is correct |
58 |
Correct |
166 ms |
44112 KB |
Output is correct |
59 |
Correct |
184 ms |
44192 KB |
Output is correct |
60 |
Correct |
152 ms |
42836 KB |
Output is correct |
61 |
Correct |
162 ms |
44832 KB |
Output is correct |
62 |
Correct |
155 ms |
44372 KB |
Output is correct |
63 |
Correct |
158 ms |
44704 KB |
Output is correct |
64 |
Correct |
165 ms |
44112 KB |
Output is correct |
65 |
Correct |
185 ms |
44620 KB |
Output is correct |