// yukicoder: No.2 素因数ゲーム // 2019.4.22 bal4u // 素因数分解+Nim #include #include #include //// 素数テスト long long calc_pow(int a, int k, int n) { long long p; unsigned bit; p = 1; for (bit = 0x80000000U; bit > 0; bit >>= 1) { if (p > 1) p = (p*p) % n; if (k & bit) p = (p*a) % n; } return p % n; } int suspect(int b, unsigned n) { unsigned i; unsigned t, u, n1; long long x0, x1; u = n1 = n - 1; t = 0; while ((u & 1) == 0) { t++; u >>= 1; } x0 = calc_pow(b, u, n); for (i = 1; i <= t; i++) { x1 = (x0*x0) % n; if (x1 == 1 && x0 != 1 && x0 != n1) return 0; x0 = x1; } return x1 == 1; } int prime_test(int n) { if (n == 1) return 0; /* 1 */ if (n == 2 || n == 3) return 1; /* 2, 3 */ if ((n & 1) == 0) return 0; /* other even integers */ if (!suspect(2, n)) return 0; if (n <= 1000000) { if (!suspect(3, n)) return 0; } else { if (!suspect(7, n)) return 0; if (!suspect(61, n)) return 0; } return 1; } int ptbl[] = { 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 0 }; int xor_power(int n) { int i, k, b, p, ans; k = 0, ans = 0, p = 0; if ((n & 1) == 0) { do n >>= 1, p++; while ((n & 1) == 0); ans ^= p, p = 0; } for (i = 0; n > 1 && (b=ptbl[i]); i++) { if (n % b) continue; do n /= b, p++; while (n % b == 0); ans ^= p, p = 0; } if (n > 1) { b = (int)sqrt((double)n); for (i = 1009; n > 1; i += 2) { if (i > b) { ans ^= 1; break; } if (n % i == 0) { do n /= i, p++; while (n % i == 0); ans ^= p; } } } return ans; } int main() { int N, ans; scanf("%d", &N); if (prime_test(N)) ans = 1; else ans = xor_power(N); puts(ans ? "Alice" : "Bob"); return 0; }