#include <bits/stdc++.h>
using namespace std;
#define int long long
#define endl '\n'
const int maxn=1000005;
const int mod=1e9+7;
int a[maxn];
int b[maxn];
pair<int,int> dp[maxn][2];
pair<int,int>add(pair<int,int>x)
{
x.first++;
x.second++;
return x;
}
pair<int,int>u(pair<int,int>x,pair<int,int>y)
{
if(x.first<0)return y;
if(y.first<0)return x;
return {min(x.first,y.first),max(x.second,y.second)};
}
bool in(pair<int,int>y,int x)
{
return (y.first<=x && x<=y.second);
}
signed main()
{
ios::sync_with_stdio(false);
int n;
cin>>n;
n*=2;
for(int i=1;i<=n;i++)
{
cin>>a[i];
}
for(int i=1;i<=n;i++)
{
cin>>b[i];
}
for(int i=1;i<=n;i++)
{
dp[i][0]=dp[i][1]={-2e9,-2e9};
}
dp[1][1]={1,1};
dp[1][0]={0,0};
for(int i=1;i<n;i++)
{
if(a[i]<=a[i+1])
{
dp[i+1][1]=u(dp[i+1][1],add(dp[i][1]));
}
if(a[i]<=b[i+1])
{
dp[i+1][0]=u(dp[i+1][0],dp[i][1]);
}
if(b[i]<=a[i+1])
{
dp[i+1][1]=u(dp[i+1][1],add(dp[i][0]));
}
if(b[i]<=b[i+1])
{
dp[i+1][0]=u(dp[i+1][0],dp[i][0]);
}
}
int x=n/2;
if(in(dp[n][0],x)==0 && in(dp[n][1],x)==0)
{
cout<<-1<<endl;
return 0;
}
string ans;
int prev=2e9;
for(int i=n;i>=1;i--)
{
if(in(dp[i][0],x)==1 && prev>=b[i])
{
ans+='B';
prev=b[i];
}
else
{
ans+='A';
x--;
prev=a[i];
}
}
reverse(ans.begin(),ans.end());
cout<<ans<<endl;
return 0;
}
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