// MagicDark
#include <bits/stdc++.h>
#define debug cerr << "[" << __LINE__ << "] "
#define SZ(x) (int) x.size() - 1
#define all(x) x.begin(), x.end()
#define ms(x, y) memset(x, y, sizeof x)
#define F(i, x, y) for (int i = (x); i <= (y); i++)
#define DF(i, x, y) for (int i = (x); i >= (y); i--)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
template <typename T> inline void chkmax(T &x, T y) { x = max(x, y); }
template <typename T> inline void chkmin(T &x, T y) { x = min(x, y); }
template <typename T> inline void read(T &x) {
	x = 0; int f = 1; char c = getchar();
	for (; !isdigit(c); c = getchar()) if (c == '-') f = -f;
	for (; isdigit(c); c = getchar()) x = (x << 1) + (x << 3) + (c ^ 48);
	x *= f;
}
const int N = 20, M = 11;
//   bit  las  presum cnt
int f[N][N * M][N * M], g[N][N * M][N * M][M];
void calc(int &las, int sum) {
	las = sum >= las ? las + 1 : 0;
}
void init() {
	F(bit, 0, 18) {
		F(las, 0, 17 * 9) {
			DF(presum, 18 * 9, 0) {
				int llas = las;
				if (bit) {
					// debug << las << endl;
					F(j, 0, 9) {
						calc(llas = f[bit - 1][llas][presum + j], presum + j + 1);
						// if (bit == 1 && las == 0 && presum == 0) debug << j << " " << llas << endl;
					}
				}
				// g[bit][las][presum][0] = las;
				g[bit][las][presum][1] = f[bit][las][presum] = llas;
				F(j, 2, 9) {
					g[bit][las][presum][j] = g[bit][las][presum][j - 1];
					calc(g[bit][las][presum][j], presum + j - 1);
					g[bit][las][presum][j] = f[bit][g[bit][las][presum][j]][presum];
				}
				// debug << g[bit][las][presum][9] << endl;
			}
		}
	}
	// debug << f[1][0][0] << endl;
}
void zhk() {
	ll n; cin >> n;
	vector <int> t;
	while (n) {
		t.push_back(n % 10);
		n /= 10;
	}
	int las = 0, presum = 0;
	DF(i, SZ(t), 0) if (t[i]) {
		// debug << g[i][las][presum][t[i]] << " " << presum + t[i] << endl;
		calc(las = g[i][las][presum][t[i]], presum + t[i]);
		presum += t[i];
		// debug << las << endl;
	}
	cout << (las == 0 ? "Bajtek" : "Algosia") << '\n';
}
signed main() {
	init();
	int _ = 1;
	cin >> _;
	while (_--) zhk();
	return 0;
}
/* why?
*/