This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Super Idol的笑容
// 都没你的甜
// 八月正午的阳光
// 都没你耀眼
// 热爱105°C的你
// 滴滴清纯的蒸馏水
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
#define int long long
#define ll long long
#define ii pair<ll,ll>
#define iii pair<ii,ll>
#define fi first
#define se second
#define endl '\n'
#define debug(x) cout << #x << ": " << x << endl
#define pub push_back
#define pob pop_back
#define puf push_front
#define pof pop_front
#define lb lower_bound
#define ub upper_bound
#define rep(x,start,end) for(int x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--))
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()
#define indexed_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
//change less to less_equal for non distinct pbds, but erase will bug
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
int n;
int arr[1000005][2];
ii memo[1000005][2];
signed main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin.exceptions(ios::badbit | ios::failbit);
cin>>n;
rep(x,1,2*n+1) cin>>arr[x][0];
rep(x,1,2*n+1) cin>>arr[x][1];
rep(x,0,1000005) rep(y,0,2) memo[x][y]={1e9,-1e9};
memo[1][0]={0,0};
memo[1][1]={1,1};
rep(x,1,2*n) rep(a,0,2) rep(b,0,2) if (arr[x][a]<=arr[x+1][b]){
memo[x+1][b]={
min(memo[x+1][b].fi,memo[x][a].fi+b),
max(memo[x+1][b].se,memo[x][a].se+b)
};
}
int py=-1;
rep(x,0,2) if (memo[2*n][x].fi<=n && n<=memo[2*n][x].se) py=x;
if (py==-1){
cout<<"-1"<<endl;
return 0;
}
string ans="";
ans+='A'+py;
int curr=n;
rep(x,2*n,1){
if (py) curr--;
rep(y,0,2) if (arr[x][y]<=arr[x+1][py] && memo[x][y].fi<=curr && curr<=memo[x][y].se){
py=y;
break;
}
ans+='A'+py;
}
reverse(all(ans));
cout<<ans<<endl;
}
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