This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//1L1YA
#include<bits/stdc++.h>
using namespace std;
//#pragma GCC optimize ("O3,unrool-loops")
//#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
typedef long long ll;
typedef pair<ll,ll> pll;
typedef pair<int,int> pii;
#define Pb push_back
#define F first
#define S second
#define endl '\n'
#define sep ' '
#define all(x) x.begin(),x.end()
#define al(x,n) x+1,x+n+1
#define SZ(x) ((int)x.size())
#define lc (id<<1)
#define rc (lc|1)
#define mid (l+r>>1)
#define dokme(x) cout << x << endl, exit(0)
#define sik(x) cout << x << endl;continue;
#define FastIO ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define FileIO freopen("input.txt","r",stdin);freopen("output.txt","w",stdout);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll oo=1e18;
const int mod=1e9+7;
const int inf=1e9+111;
const int N=5e5+11;
const int lg=23;
int n,a[N][2];
pii dp[N][2];
string ans;
int main(){
FastIO
cin >> n;
for(int j=0;j<2;j++)
for(int i=1;i<=n<<1;i++)
cin >> a[i][j];
dp[1][0]={0,0};
dp[1][1]={1,1};
for(int i=2;i<=n<<1;i++){
dp[i][0]=dp[i][1]={inf,-1};
for(int j=0;j<2;j++)
for(int k=0;k<2;k++)
if(a[i-1][j]<=a[i][k])
dp[i][k]={min(dp[i][k].F,dp[i-1][j].F+k),max(dp[i][k].S,dp[i-1][j].S+k)};
}
if(!(dp[n<<1][0].F<=n && n<=dp[n<<1][0].S) && !(dp[n<<1][1].F<=n && n<=dp[n<<1][1].S)) dokme(-1);
int c=n,nxt=inf;
for(int i=n<<1;i;i--)
if(dp[i][0].F<=c && c<=dp[i][0].S && a[i][0]<=nxt) ans+="A",nxt=a[i][0];
else ans+="B",nxt=a[i][1],c--;
reverse(all(ans));
cout << ans << endl;
return 0;
}
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