#include using namespace std; using ll = long long; #ifdef LOCAL #include "debug.h" #else #define debug(...) 710 #endif vector frac(int x){ vector ret; for(int i = 2; i * i <= x; i++){ if(x%i == 0){ int cnt = 0; while(x%i == 0){ cnt++; x /= i; } ret.push_back(cnt); } } if(x != 1) ret.push_back(1); return ret; } int mex(vector v){ sort(v.begin(), v.end()); int t = 0; for(int i = 0; i < v.size(); i++){ if(v[i] > t) return t; t = v[i] + 1; } return t; } map, int> mp; int grundy(vector v){ if(mp[v]) return mp[v]; vector group; for(int i = 0; i < v.size(); i++){ for(int j = 1; j <= 2; j++){ if(v[i] - j >= 0){ vector nxt = v; nxt[i] -= j; group.push_back(grundy(nxt)); } } } int m = mex(group); return mp[v] = m; } int main(){ ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector m(n); for(auto &x: m) cin >> x; int g = 0; for(int t: m){ g ^= grundy(frac(t)); } cout << (g ? "Alice" : "Bob") << endl; }