1033C

#include<stdio.h>
#include<string.h>
#include<math.h>
#include<ctype.h>
#include<stdlib.h>
#include<cstdio>
#include<cstring>
#include<string>
#include<cmath>
#include<iostream>
#include<cctype>
#include<map>
#include<stack>
#include<cstdlib>
#include<queue>
#include<vector>
#include<algorithm>
#include<bitset>
#include<algorithm>
#include<set>
#include<limits.h>
#include <sstream>

//#include <bits/stdc++.h>


using namespace std;
typedef long int LD;
typedef long long int LLD;
typedef float F;
typedef double LF;
typedef unsigned int U;
typedef unsigned long int LU;
typedef unsigned long long int LLU;
typedef char C;


/*----------simple input section ------------ */
#define sf scanf
#define sfi(x) scanf("%d",&x)
#define sfc(x) scanf("%c",&x)
#define sfi2(x,y) scanf("%d%d",&x,&y)
#define sfll2(x,y) scanf("%lld%lld",&x,&y)
#define sfu2(x,y) scanf("%llu%llu",&x,&y)
#define sfl(x) scanf("%ld",&x)
#define sfll(x) scanf("%lld",&x)
#define sfd(x) scanf("%lf",&x)
#define sfu(x) scanf("%llu",&x)
#define sfs(x) scanf("%s",x)


/*----------simple input section ------------ */
#define pf printf
#define pfi(x) printf("%d\n",x)
#define pfl(x) printf("%ld\n",x)
#define pfll(x) printf("%lld\n",x)
#define pfu(x) printf("%llu\n",x)
#define pfs(x) printf("%s\n",x)
#define pfc(x) printf("%c\n",x)
#define pfd(x) printf("%lf\n",x)

/*----------file input section ------------ */

#define f_input  freopen("input.txt","r",stdin);
#define f_output freopen("output.txt","w",stdout);

#define pb(x) push_back(x)
#define PI acos(-1.0)
#define sq(x) (x)*(x)
#define mem(x,y) memset(x,y,sizeof(x))
#define TEST int cs,T;sfi(T);getchar();for(cs=1;cs<=T;cs++)
#define nn printf("\n")
// xx-> diagonal -> 8 horizontal/vertical->4

const int xx[] = {0, 1, 0, -1, -1, 1, -1, 1};
const int yy[] = {1, 0, -1, 0, 1, 1, -1, -1};

// KX-> Knight moves
const int kx[] = {-2, -1, 1, 2, 2, 1, -1, -2};
const int ky[] = {1, 2, 2, 1, -1, -2, -2, -1};


/******** debug **********/
#define chk1 printf("hi......1  \n")
#define chk2 printf("hi......2  \n")


template<class T> T power(T N,T P)
{
    return (P==0)?  1: N*power(N,P-1);   //N^P
}

#define mod  1000000007
#define eps 10e-8
#define sz 100005
#define sz1 15
#define sz2 3004
#define sz3 5000004
/******* start my code ********/
int mark[sz];
int arr[sz];
int ans[sz];
int main()
{
    int i,j,k,n,mx,x;
    sfi(n);

    for(i=1; i<=n; i++)
    {
        sfi(x);
        mark[x]=i;
    }
    if(n==1)
    {
        pfs("B");
        return 0;
    }
    ans[mark[n]]=0;
    ans[mark[1]]=1;

    for(i=n-2; i>=2; i--)
    {
        ans[mark[i]]=0;
        for(j=i+1; j<=n; j++)
        {

            if(abs(mark[j]-mark[i])%i==0 && !ans[mark[j]])
            {

                ans[mark[i]]=1;
                break;
            }
        }
    }
    for(i=1; i<=n; i++)
        if(ans[i]==1) pf("A");
        else pf("B");
    nn;
    return 0;
}

/*
ABAAAABBBAABAAB
ABAAAABBBAABAAB

*/