#include<bits/stdc++.h>
using namespace std;
#define rep(i,a,b) for(int i=a;i<b;i++)




int N;
//-----------------------------------------------------------------
int grundy(int x) {
	if (x == 1) return 0;
	if (x == 2) return 1;

	int a = grundy(x / 2) ^ grundy(x - x / 2);
	int b = grundy(x / 3) ^ grundy(x / 3) ^ grundy(x - 2 * x / 3);

	if (a > b) swap(a, b);

	if (0 < a) return 0;
	if (a == 0 && b == 0) return 1;
	if (a == 0 && b == 1) return 2;
	return 1;
}
int main() {
	cin >> N;

	int g = grundy(N);
	if (g != 0)
		printf("A\n");
	else
		printf("B\n");
}