#include #include #include #include #include #include using namespace std; map< vector , int> dp; vector factor(int n){ vector ret; int i = 2; while(i*i<=n){ if(n%i==0)ret.push_back(i) , n/=i , i = 2; else i++; } if(n!=1)ret.push_back(n); return ret; } int dfs(vector x){ if( x.size() == 0 ) return 0; if( dp.count(x) ) return dp[x]; set g; for(int i = 0 ; i < x.size() ; i++){ vector y = x; y.erase(y.begin()+i); g.insert(dfs(y)); } int ans = 0; while(g.count(ans))ans++; return dp[x] = ans; } int main(){ int n; cin >> n; int x = 0; int cnt = 0; for(int i = 0 ; i < n ; i++){ int a; cin >> a; int s = dfs(factor(a)); x ^= s; if( s == 1 ) cnt++; } int r = 0; if( cnt == 0 && x == 0 ) r = 1; else if( cnt == 1 ) r = 1; else if( cnt > 1 && x != 0 ) r = 1; else r = 0; cout << (r ? "Alice" : "Bob" ) << endl; }