#pragma region Macros #include using namespace std; using namespace __gnu_pbds; // using namespace __gnu_cxx; #define TO_STRING(var) # var #define pb emplace_back #define int ll #define endl '\n' using ll = long long; using ld = long double; const ld PI = acos(-1); const ld EPS = 1e-10; const int INF = 1 << 30; const ll INFL = 1LL << 62; // const int MOD = 998244353; const int MOD = 1000000007; int ceil(int x, int y) {return (x > 0 ? (x + y - 1) / y : x / y);} int POW(int x, int y) { if (y != (int)(y) or y < 0 or x != 0 && x != 1 && y > 64) {cout << "Error" << endl;return 0;} if (y == 0) return 1; if (y % 2 == 0) return POW(x * x, y / 2); return x * POW(x, y - 1); } __attribute__((constructor)) void constructor() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); } #pragma endregion vector> prime_fact(int x) { vector> ret; for (int i = 2; i * i <= x; i++) { if (x % i) continue; int cnt = 0; while (x % i == 0) { cnt++; x /= i; } ret.pb(i, cnt); } if (x > 1) ret.pb(x, 1); return ret; } signed main() { int N; cin >> N; vector M(N); for (int i = 0; i < N; i++) cin >> M[i]; vector gr = {0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2}; int G = 0; for (int i = 0; i < N; i++) { vector> p = prime_fact(M[i]); int sz = p.size(); int g = 0; for (int j = 0; j < sz; j++) { g ^= gr[p[j].second]; } G ^= g; } if (G) cout << "Alice" << endl; else cout << "Bob" << endl; }