/* ---------- STL Libraries ---------- */ // IO library #include #include #include #include #include // algorithm library #include #include #include #include #include // container library #include #include #include #include #include #include #include #include #include #include #include /* ---------- Namespace ---------- */ using namespace std; /* ---------- Type ---------- */ using ll = long long; #define int ll #define P pair /* ---------- Constants */ const double PI = 3.141592653589793238462643383279; const ll MOD = 1e9 + 7; const int INF = 1LL << 55; map prime_factor(int n) { map ret; for (int i = 2; i * i <= n; i++) { while (n % i == 0) { ret[i]++; n /= i; } } if (n != 1) ret[n] = 1; return move(ret); }; signed main() { int N, K; cin >> N >> K; map n_factors = prime_factor(N); int mx = -1; int ret = -1; for (int i = 1; i < N; i++) { map i_factors = prime_factor(i); int common_factor_n = 0; int div_n = 1; for (auto it = i_factors.begin(); it != i_factors.end(); it++) { common_factor_n += min(it->second, n_factors[it->first]); div_n *= 1 + it->second; } if (common_factor_n >= K) { if (div_n > mx) { mx = div_n; ret = i; } } } cout << ret << endl; return 0; }