#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef pair PII; typedef pair PIL; typedef pair PLI; typedef pair PLL; typedef bitset<16> BS; struct edge { int to, cost, id; }; const double PI = 3.14159265358979323846; const double PI2 = PI * 2.0; const double EPS = 1E-09; const ll MOD = 1E+09 + 7; // =998244353; const ll INFL = 1E18; const int INFI = 1E09; const int MAX_N = 100; ll dx[4] = { -1, 1, 0, 0 }, dy[4] = { 0, 0, -1, 1 }; int N; int M[MAX_N + 1]; map prime_factor(ll n); int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cin >> N; for (int i = 1; i <= N; i++) { cin >> M[i]; } int g = 0; for (int i = 1; i <= N; i++) { //cout << "M = " << M[i] << ", pn = " << prime_factor(M[i]) << "\n"; int res = 0; auto mp = prime_factor((ll)M[i]); for (auto p : mp) { res ^= p.second % 3; } g ^= res; } /* for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { cout << "i = " << i << ", j = " << j << ", dp = " << dp[i][j] << "\n"; } } */ cout << (g == 0 ? "Bob" : "Alice") << "\n"; return 0; } map prime_factor(ll n) { map mp; for (ll i = 2; i * i <= n; i++) { while (n % i == 0) { mp[i]++; n /= i; } } if (n != 1) mp[n] = 1; return mp; }