#include <iostream>
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 1e6+5;
int a[MAXN];
int b[MAXN];
int dpmax[MAXN][3];
int dpmin[MAXN][3];
int main(){
int n;
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=1;i<=2*n;i++){
for(int k=0;k<=1;k++){
dpmin[i][k] = 1e9;
}
}
for(int i=1;i<=2*n;i++){
for(int k=0;k<=1;k++){
if(k){
if(a[i-1]<=b[i]){
dpmin[i][k] = min(dpmin[i][k],dpmin[i-1][0]);
}
if(b[i-1]<=b[i]){
dpmin[i][k] = min(dpmin[i][k],dpmin[i-1][1]);
}
}else{
if(a[i-1]<=a[i]){
dpmin[i][k] = min(dpmin[i][k],dpmin[i-1][0]+1);
}
if(b[i-1]<=a[i]){
dpmin[i][k] = min(dpmin[i][k],dpmin[i-1][1]+1);
}
}
//
}
}
for(int i=1;i<=2*n;i++){
for(int k=0;k<=1;k++){
if(k){
if(a[i-1]<=b[i]){
dpmax[i][k] = max(dpmax[i][k],dpmax[i-1][0]);
}
if(b[i-1]<=b[i]){
dpmax[i][k] = max(dpmax[i][k],dpmax[i-1][1]);
}
}else{
if(a[i-1]<=a[i]){
dpmax[i][k] = max(dpmax[i][k],dpmax[i-1][0]+1);
}
if(b[i-1]<=a[i]){
dpmax[i][k] = max(dpmax[i][k],dpmax[i-1][1]+1);
}
}
// cout<<i<<" "<<k<<" "<<dpmin[i][k]<<" "<<dpmax[i][k]<<endl;
}
}
if((dpmin[2*n][0]<=n && dpmax[2*n][0]>=n)||(dpmin[2*n][1]<=n && dpmax[2*n][1]>=n)){
string ans = "";
int cnt = n;
int lst = 1e9;
for(int i=2*n;i>=1;i--){
if((dpmin[i][0]<=cnt && dpmax[i][0]>=cnt) && cnt){
if((dpmin[i][1]<=cnt && dpmax[i][1]>=cnt)){
if(lst == 0){
if(a[i]<=a[i+1]){
ans+='A';
lst = 0;
cnt--;
}else{
ans+='B';
lst = 1;
}
}else if(lst ==1){
if(a[i]<=b[i+1]){
ans+='A';
lst = 0;
cnt--;
}else{
ans+='B';
lst = 1;
}
}else{
ans+='A';
lst = 0;
cnt--;
}
}else{
ans+='A';
lst = 0;
cnt--;
}
}else{
ans+='B';
lst = 1;
}
}
reverse(ans.begin(),ans.end());
cout<<ans<<endl;
}else{
cout<<-1<<endl;
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
256 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
9 ms |
512 KB |
Output is correct |
6 |
Correct |
9 ms |
512 KB |
Output is correct |
7 |
Correct |
9 ms |
512 KB |
Output is correct |
8 |
Correct |
9 ms |
512 KB |
Output is correct |
9 |
Correct |
9 ms |
512 KB |
Output is correct |
10 |
Correct |
9 ms |
512 KB |
Output is correct |
11 |
Correct |
9 ms |
512 KB |
Output is correct |
12 |
Correct |
10 ms |
640 KB |
Output is correct |
13 |
Correct |
10 ms |
768 KB |
Output is correct |
14 |
Correct |
10 ms |
640 KB |
Output is correct |
15 |
Correct |
10 ms |
640 KB |
Output is correct |
16 |
Correct |
10 ms |
512 KB |
Output is correct |
17 |
Correct |
9 ms |
512 KB |
Output is correct |
18 |
Correct |
10 ms |
512 KB |
Output is correct |
19 |
Correct |
9 ms |
512 KB |
Output is correct |
20 |
Correct |
7 ms |
512 KB |
Output is correct |
21 |
Correct |
7 ms |
512 KB |
Output is correct |
22 |
Correct |
7 ms |
512 KB |
Output is correct |
23 |
Correct |
7 ms |
512 KB |
Output is correct |
24 |
Correct |
10 ms |
512 KB |
Output is correct |
25 |
Correct |
8 ms |
512 KB |
Output is correct |
26 |
Correct |
8 ms |
512 KB |
Output is correct |
27 |
Correct |
8 ms |
512 KB |
Output is correct |
28 |
Correct |
7 ms |
512 KB |
Output is correct |
29 |
Correct |
8 ms |
512 KB |
Output is correct |
30 |
Correct |
8 ms |
512 KB |
Output is correct |
31 |
Correct |
8 ms |
512 KB |
Output is correct |
32 |
Correct |
7 ms |
512 KB |
Output is correct |
33 |
Correct |
8 ms |
512 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
256 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
9 ms |
512 KB |
Output is correct |
6 |
Correct |
9 ms |
512 KB |
Output is correct |
7 |
Correct |
9 ms |
512 KB |
Output is correct |
8 |
Correct |
9 ms |
512 KB |
Output is correct |
9 |
Correct |
9 ms |
512 KB |
Output is correct |
10 |
Correct |
9 ms |
512 KB |
Output is correct |
11 |
Correct |
9 ms |
512 KB |
Output is correct |
12 |
Correct |
10 ms |
640 KB |
Output is correct |
13 |
Correct |
10 ms |
768 KB |
Output is correct |
14 |
Correct |
10 ms |
640 KB |
Output is correct |
15 |
Correct |
10 ms |
640 KB |
Output is correct |
16 |
Correct |
10 ms |
512 KB |
Output is correct |
17 |
Correct |
9 ms |
512 KB |
Output is correct |
18 |
Correct |
10 ms |
512 KB |
Output is correct |
19 |
Correct |
9 ms |
512 KB |
Output is correct |
20 |
Correct |
7 ms |
512 KB |
Output is correct |
21 |
Correct |
7 ms |
512 KB |
Output is correct |
22 |
Correct |
7 ms |
512 KB |
Output is correct |
23 |
Correct |
7 ms |
512 KB |
Output is correct |
24 |
Correct |
10 ms |
512 KB |
Output is correct |
25 |
Correct |
8 ms |
512 KB |
Output is correct |
26 |
Correct |
8 ms |
512 KB |
Output is correct |
27 |
Correct |
8 ms |
512 KB |
Output is correct |
28 |
Correct |
7 ms |
512 KB |
Output is correct |
29 |
Correct |
8 ms |
512 KB |
Output is correct |
30 |
Correct |
8 ms |
512 KB |
Output is correct |
31 |
Correct |
8 ms |
512 KB |
Output is correct |
32 |
Correct |
7 ms |
512 KB |
Output is correct |
33 |
Correct |
8 ms |
512 KB |
Output is correct |
34 |
Correct |
1201 ms |
32760 KB |
Output is correct |
35 |
Correct |
1147 ms |
33596 KB |
Output is correct |
36 |
Correct |
1139 ms |
36044 KB |
Output is correct |
37 |
Correct |
1173 ms |
33556 KB |
Output is correct |
38 |
Correct |
1144 ms |
36932 KB |
Output is correct |
39 |
Correct |
1119 ms |
48912 KB |
Output is correct |
40 |
Correct |
1217 ms |
35448 KB |
Output is correct |
41 |
Correct |
1150 ms |
37152 KB |
Output is correct |
42 |
Correct |
1194 ms |
34432 KB |
Output is correct |
43 |
Correct |
1252 ms |
34540 KB |
Output is correct |
44 |
Correct |
1255 ms |
34644 KB |
Output is correct |
45 |
Correct |
1264 ms |
34668 KB |
Output is correct |
46 |
Correct |
1239 ms |
34728 KB |
Output is correct |
47 |
Correct |
1189 ms |
35564 KB |
Output is correct |
48 |
Correct |
1173 ms |
35436 KB |
Output is correct |
49 |
Correct |
1219 ms |
34796 KB |
Output is correct |
50 |
Correct |
1201 ms |
35436 KB |
Output is correct |
51 |
Correct |
1215 ms |
35608 KB |
Output is correct |
52 |
Correct |
689 ms |
41324 KB |
Output is correct |
53 |
Correct |
685 ms |
41324 KB |
Output is correct |
54 |
Correct |
680 ms |
41452 KB |
Output is correct |
55 |
Correct |
668 ms |
41068 KB |
Output is correct |
56 |
Correct |
1254 ms |
35976 KB |
Output is correct |
57 |
Correct |
994 ms |
48108 KB |
Output is correct |
58 |
Correct |
1018 ms |
48364 KB |
Output is correct |
59 |
Correct |
1000 ms |
48492 KB |
Output is correct |
60 |
Correct |
962 ms |
45816 KB |
Output is correct |
61 |
Correct |
1024 ms |
48724 KB |
Output is correct |
62 |
Correct |
1008 ms |
48084 KB |
Output is correct |
63 |
Correct |
1029 ms |
48808 KB |
Output is correct |
64 |
Correct |
984 ms |
47152 KB |
Output is correct |
65 |
Correct |
1030 ms |
48872 KB |
Output is correct |