/* -*- coding: utf-8 -*- * * 2.cc: No.2 素因数ゲーム - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_P = 31623; /* typedef */ typedef pair pii; typedef vector vi; typedef vector vpii; /* global variables */ bool primes[MAX_P + 1]; /* subroutines */ void gen_primes(int maxp, vi &pnums) { memset(primes, true, sizeof(primes)); primes[0] = primes[1] = false; int p; for (p = 2; p * p <= maxp; p++) if (primes[p]) { pnums.push_back(p); for (int q = p * p; q <= maxp; q += p) primes[q] = false; } for (; p <= maxp; p++) if (primes[p]) pnums.push_back(p); } bool prime_decomp(int n, vi &pnums, vpii& pds) { pds.clear(); int pn = pnums.size(); for (int i = 0; i < pn; i++) { int pi = pnums[i]; if (pi * pi > n) { if (n > 1) pds.push_back(pii(n, 1)); return true; } if (n % pi == 0) { int fi = 0; while (n % pi == 0) n /= pi, fi++; pds.push_back(pii(pi, fi)); } } return false; } /* main */ int main() { vi pnums; gen_primes(MAX_P, pnums); //printf("%lu\n", pnums.size()); int n; cin >> n; vpii pds; prime_decomp(n, pnums, pds); int pdn = pds.size(); int bits = 0; for (int i = 0; i < pdn; i++) { //printf("%d^%d\n", pds[i].first, pds[i].second); bits ^= pds[i].second; } //printf("%d\n", bits); cout << (bits ? "Alice" : "Bob") << endl; return 0; }