#include <iostream>
#include <iomanip>
#include <fstream>
#include <cstring>
#include <string>
#include <functional>
#include <cmath>
#include<algorithm>
typedef long long ll;
using namespace std;
int a[35], n, l, k;
ll dp[1000004][2];
// 2 3 12
int x;
ll solve( ll y){
	if (y < 0){

		return  x;

	}
	if (y == 0){
		return 1 - x;


	}
	if (dp[y][x] != -1)return dp[y][x];
	int ans = 1 - x;
	int a, b, c;
	x = 1 - x;
	c = solve( y - k);
	x = 1 - x;
	x = 1 - x;
	b = solve( y - l);
	x = 1 - x;
	x = 1 - x;

	a = solve(y - 1);
	x = 1 - x;
	//cout << a << ' ' << b << ' ' << c << '\n';
	if (a == x ){
		ans = a;
	}
	else if (b == x ){
		ans= b;
	}
	else{ ans= c;

	}
	dp[y][x] = ans;
	return ans;
}

int main()
{
	cin >> k >> l;
	if (k > l){
		swap(k, l);
	}
	cin >> n;
	for (int i = 0; i < n; i++)
	{
		cin >> a[i];

		memset(dp, -1, sizeof dp);
		x = 0;
		if (solve(a[i]))cout << 'B';
		else cout << 'A';

	}




}