#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
typedef long long ll;
typedef pair<int,int> pi;
const int large = 1e5+5;
bitset<large/2> dp[large][2];
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
int n; cin >> n;
vector<int> a(2*n), b(2*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][0] = 1;
dp[0][1][1] = 1;
for(int i = 1; i < 2*n; i++){
if(a[i-1] <= a[i]) dp[i][0] = dp[i-1][0];
if(b[i-1] <= b[i]) dp[i][1] = dp[i-1][1]<<1;
if(b[i-1] <= a[i]) dp[i][0] |= dp[i-1][1];
if(a[i-1] <= b[i]) dp[i][1] |= dp[i-1][0]<<1;
}
if(dp[2*n-1][0][n]|dp[2*n-1][1][n]){
string ans = "";
bool cur = 0;
int num = n;
if(dp[2*n-1][0][n]){
ans += 'A';
num = n;
if(a[2*n-1] >= a[2*n-2] && dp[2*n-2][0][num]) cur = 0;
else cur = 1;
}else{
ans += 'B';
num = n-1;
if(b[2*n-1] >= b[2*n-2] && dp[2*n-2][1][num]) cur = 1;
else cur = 0;
}
for(int i = 2*n-2; i > 0; i--){
if(cur == 0){
ans += 'A';
num = num;
if(a[i] >= a[i-1] && dp[i-1][0][num]) cur = 0;
else cur = 1;
}else{
ans += 'B';
num = num-1;
if(b[i] >= b[i-1] && dp[i-1][1][num]) cur = 1;
else cur = 0;
}
}
if(cur) ans += 'B';
else ans += 'A';
reverse(ans.begin(), ans.end());
cout << ans << "\n";
}else cout << "-1\n";
return 0;
}
