import core.thread;
import std.conv, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.container, std.math, std.range, std.regex;

//	Input
class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { tokens = readln.split; if (tokens.empty && stdin.eof) throw new EOFException; } auto token = tokens[0]; tokens.popFront; return token; }
int readInt() { return to!int(readToken); }
long readLong() { return to!long(readToken); }
real readReal() { return to!real(readToken); }

//	chmin/chmax
void chmin(T)(ref T t, in T f) { if (t > f) t = f; }
void chmax(T)(ref T t, in T f) { if (t < f) t = f; }

//	Pair
struct Pair(S, T) {
	S x; T y;
	int opCmp(    const Pair p) const { return (x < p.x) ? -1 : (x > p.x) ? +1 : (y < p.y) ? -1 : (y > p.y) ? +1 : 0; }
	int opCmp(ref const Pair p) const { return (x < p.x) ? -1 : (x > p.x) ? +1 : (y < p.y) ? -1 : (y > p.y) ? +1 : 0; }
	string toString() const { return "(" ~ to!string(x) ~ ", " ~ to!string(y) ~ ")"; }
}
auto pair(S, T)(inout(S) x, inout(T) y) { return Pair!(S, T)(x, y); }

//	Array
int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = as.length; for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; }
int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) { return (a <  val); }); }
int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) { return (a <= val); }); }
T[] unique(T)(in T[] as) { T[] bs; foreach (a; as) if (bs.empty || bs[$ - 1] != a) bs ~= a; return bs; }




void main(string[] args) {
	auto dp = new int[110];
	foreach (n; 0 .. dp.length) {
		bool[int] apps;
		foreach (x; 1 .. n + 1) {
			if (n == x * 2    ) apps[dp[x] ^ dp[x]] = true;
			if (n == x * 2 + 1) apps[dp[x] ^ dp[x + 1]] = true;
			if (n == x * 3    ) apps[dp[x] ^ dp[x] ^ dp[x]] = true;
			if (n == x * 3 + 1) apps[dp[x] ^ dp[x] ^ dp[x + 1]] = true;
			if (n == x * 3 + 2) apps[dp[x] ^ dp[x + 1] ^ dp[x + 1]] = true;
		}
		for (int g = 0; ; ++g) {
			if (g !in apps) {
				dp[n] = g;
				break;
			}
		}
	}
debug{
writeln(dp);
}
	
	try {
	for (; ; ) {
		const n = readInt;
		writeln(dp[n] ? "A" : "B");
		
	}
	} catch (EOFException) {}
}