#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define REP(i, n) for (int (i) = 0; (i) < (n); (i)++) #define FOR(i, a, b) for (int (i) = (a); (i) < (b); (i)++) #define RREP(i, a) for(int (i) = (a) - 1; (i) >= 0; (i)--) #define FORR(i, a, b) for(int (i) = (a) - 1; (i) >= (b); (i)--) #define DEBUG(C) cerr << #C << " = " << C << endl; using LL = long long; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using VD = vector; using VVD = vector; using PII = pair; using PDD = pair; using PLL = pair; using VPII = vector; template using VT = vector; #define ALL(a) begin((a)), end((a)) #define RALL(a) rbegin((a)), rend((a)) #define SORT(a) sort(ALL((a))) #define RSORT(a) sort(RALL((a))) #define REVERSE(a) reverse(ALL((a))) #define MP make_pair #define FORE(a, b) for (auto &&a : (b)) #define FIND(s, e) ((s).find(e) != (s).end()) #define EB emplace_back const int INF = 1e9; const int MOD = INF + 7; const LL LLINF = 1e18; int N; VI M; const int MAX = 1e4 + 10; int grandy[MAX]; map calcdiv(int num) { map mp; for (int i = 2; i * i <= num; i++) { int cnt = 0; while(num % i == 0) cnt++, num /= i; if (cnt) mp[i] = cnt; } if (num != 1) mp[num] = 1; return mp; } int calcGrandy(int num) { int &now = grandy[num]; if (now != -1) return now; if (num == 1) return now = 0; auto mp = calcdiv(num); //DEBUG(num) set se; FORE(e, mp) { se.insert(calcGrandy(num / e.first)); if (e.second >= 2) se.insert(calcGrandy(num / (e.first * e.first))); } now = 0; while (FIND(se, now)) now++; return now; } int main(void) { REP(j, MAX) grandy[j] = -1; scanf("%d", &N); M.resize(N); for_each(ALL(M), [](int &e){scanf("%d", &e);}); int ans = 0; REP(i, N) { ans ^= calcGrandy(M[i]); } cout << (ans == 0 ? "Bob" : "Alice") << endl; }