#include <bits/stdc++.h>
#define INF 10000000000000000
#define MOD 1000000017
#define mid(l, u) ((l+u)/2)
#define rchild(i) (i*2 + 2)
#define lchild(i) (i*2 + 1)
#define rr mt_rand()
#define int long long
using namespace std;
signed main(){
int n;
cin>>n;
n*=2;
int a[n][2];
for(int i = 0;i<n;i++) cin>>a[i][0];
for(int i = 0;i<n;i++) cin>>a[i][1];
pair<int, int> dp[n][2]; //min number of A's, max number of A's
dp[0][0] = {1, 1};
dp[0][1] = {0, 0};
for(int i = 1;i<n;i++){
for(int j = 0;j<2;j++){
dp[i][j] = make_pair(INF, -1);
if(a[i-1][0]<=a[i][j]){
dp[i][j].first = min(dp[i][j].first, dp[i-1][0].first + (j==0));
dp[i][j].second = max(dp[i][j].second, dp[i-1][0].second + (j==0));
}
if(a[i-1][1]<=a[i][j]){
dp[i][j].first = min(dp[i][j].first, dp[i-1][1].first + (j==0));
dp[i][j].second = max(dp[i][j].second, dp[i-1][1].second + (j==0));
}
}
}
/*for(int i = 0;i<n;i++){
cout<<i<<" "<<dp[i][0].first<<" "<<dp[i][0].second<<" "<<dp[i][1].first<<" "<<dp[i][1].second<<endl;
}*/
int req = n/2;
int maxn = INF;
stack<char> st;
bool found = false;
for(int i = n-1;i>=0;i--){
found = false;
for(int j = 0;j<2 && !found;j++){
if(dp[i][j].first>req || dp[i][j].second<req || a[i][j]>maxn) continue;
maxn = a[i][j];
req-=(j==0);
st.push((j==0)?'A':'B');
found = true;
}
if(!found){
break;
}
}
if(!found){
cout<<-1<<endl;
return 0;
}
while(!st.empty()){
cout<<st.top();
st.pop();
}
cout<<endl;
}
//l, mid(l, r) || l+1, r
//
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
256 KB |
Output is correct |
2 |
Correct |
4 ms |
256 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
256 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 |
8 ms |
512 KB |
Output is correct |
11 |
Correct |
9 ms |
512 KB |
Output is correct |
12 |
Correct |
10 ms |
632 KB |
Output is correct |
13 |
Correct |
10 ms |
640 KB |
Output is correct |
14 |
Correct |
10 ms |
640 KB |
Output is correct |
15 |
Correct |
9 ms |
512 KB |
Output is correct |
16 |
Correct |
9 ms |
512 KB |
Output is correct |
17 |
Correct |
10 ms |
512 KB |
Output is correct |
18 |
Correct |
10 ms |
512 KB |
Output is correct |
19 |
Correct |
9 ms |
640 KB |
Output is correct |
20 |
Correct |
7 ms |
512 KB |
Output is correct |
21 |
Correct |
8 ms |
512 KB |
Output is correct |
22 |
Correct |
8 ms |
512 KB |
Output is correct |
23 |
Correct |
7 ms |
512 KB |
Output is correct |
24 |
Correct |
10 ms |
640 KB |
Output is correct |
25 |
Correct |
8 ms |
512 KB |
Output is correct |
26 |
Correct |
7 ms |
512 KB |
Output is correct |
27 |
Correct |
8 ms |
564 KB |
Output is correct |
28 |
Correct |
7 ms |
512 KB |
Output is correct |
29 |
Correct |
8 ms |
512 KB |
Output is correct |
30 |
Correct |
7 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 |
5 ms |
256 KB |
Output is correct |
2 |
Correct |
4 ms |
256 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
256 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 |
8 ms |
512 KB |
Output is correct |
11 |
Correct |
9 ms |
512 KB |
Output is correct |
12 |
Correct |
10 ms |
632 KB |
Output is correct |
13 |
Correct |
10 ms |
640 KB |
Output is correct |
14 |
Correct |
10 ms |
640 KB |
Output is correct |
15 |
Correct |
9 ms |
512 KB |
Output is correct |
16 |
Correct |
9 ms |
512 KB |
Output is correct |
17 |
Correct |
10 ms |
512 KB |
Output is correct |
18 |
Correct |
10 ms |
512 KB |
Output is correct |
19 |
Correct |
9 ms |
640 KB |
Output is correct |
20 |
Correct |
7 ms |
512 KB |
Output is correct |
21 |
Correct |
8 ms |
512 KB |
Output is correct |
22 |
Correct |
8 ms |
512 KB |
Output is correct |
23 |
Correct |
7 ms |
512 KB |
Output is correct |
24 |
Correct |
10 ms |
640 KB |
Output is correct |
25 |
Correct |
8 ms |
512 KB |
Output is correct |
26 |
Correct |
7 ms |
512 KB |
Output is correct |
27 |
Correct |
8 ms |
564 KB |
Output is correct |
28 |
Correct |
7 ms |
512 KB |
Output is correct |
29 |
Correct |
8 ms |
512 KB |
Output is correct |
30 |
Correct |
7 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 |
1175 ms |
46712 KB |
Output is correct |
35 |
Correct |
1153 ms |
45768 KB |
Output is correct |
36 |
Correct |
1126 ms |
45048 KB |
Output is correct |
37 |
Correct |
1163 ms |
46072 KB |
Output is correct |
38 |
Correct |
1141 ms |
46200 KB |
Output is correct |
39 |
Correct |
1106 ms |
46288 KB |
Output is correct |
40 |
Correct |
1215 ms |
53896 KB |
Output is correct |
41 |
Correct |
1145 ms |
46972 KB |
Output is correct |
42 |
Correct |
1191 ms |
47864 KB |
Output is correct |
43 |
Correct |
1236 ms |
49400 KB |
Output is correct |
44 |
Correct |
1244 ms |
49408 KB |
Output is correct |
45 |
Correct |
1248 ms |
49528 KB |
Output is correct |
46 |
Correct |
1231 ms |
49352 KB |
Output is correct |
47 |
Correct |
1184 ms |
49400 KB |
Output is correct |
48 |
Correct |
1185 ms |
49604 KB |
Output is correct |
49 |
Correct |
1212 ms |
49528 KB |
Output is correct |
50 |
Correct |
1200 ms |
49432 KB |
Output is correct |
51 |
Correct |
1208 ms |
49396 KB |
Output is correct |
52 |
Correct |
680 ms |
50936 KB |
Output is correct |
53 |
Correct |
680 ms |
51192 KB |
Output is correct |
54 |
Correct |
665 ms |
50936 KB |
Output is correct |
55 |
Correct |
659 ms |
51064 KB |
Output is correct |
56 |
Correct |
1251 ms |
49528 KB |
Output is correct |
57 |
Correct |
999 ms |
50680 KB |
Output is correct |
58 |
Correct |
996 ms |
50940 KB |
Output is correct |
59 |
Correct |
1008 ms |
50680 KB |
Output is correct |
60 |
Correct |
961 ms |
47864 KB |
Output is correct |
61 |
Correct |
1018 ms |
50712 KB |
Output is correct |
62 |
Correct |
1016 ms |
49912 KB |
Output is correct |
63 |
Correct |
1024 ms |
50680 KB |
Output is correct |
64 |
Correct |
996 ms |
48760 KB |
Output is correct |
65 |
Correct |
1025 ms |
50552 KB |
Output is correct |