#include #define rep(i, n) for (int (i) = 0; (i) < (int)(n); (i)++) const int dx[] = {1, 0, -1, 0}; const int dy[] = {0, 1, 0, -1}; using namespace std; typedef long long ll; typedef vector vi; typedef vector vll; const int MAXN = 10010; map bunkai(ll N) { map ret; for (ll i = 2; i * i <= N; i++) { if (N % i == 0) { while (N%i == 0) { ret[i]++; N /= i; } } } if (N>1) ret[N]++; return ret; } int g[MAXN]; int main() { cin.tie(0); ios::sync_with_stdio(false); int N; cin >> N; vector nums; for (int i = 0; i < N; i++) { int M; cin >> M; auto m = bunkai(M); for (auto p : m) { nums.push_back(p.second); } } int m = nums.size(); for (int i = 0; i < m; i++) { set S; for (int minus = 1; minus <= 2; minus++) { int x = 0; if (nums[i]-minus < 0) continue; for (int j = 0; j < m; j++) { if (j != i) x ^= nums[j]; else x ^= (nums[i]-minus); } S.insert(x); } int cur = 0; for (int el : S) { if (el <= cur) cur = el+1; else break; } g[i] = cur; } int x = 0; for (int i = 0; i < m; i++) { x ^= g[i]; } if (x == 0) cout << "Bob" << endl; else cout << "Alice" << endl; return 0; }