#include #include #include using namespace std; typedef long long ll; int main(){ bool nonp[100001] = {}; vector p; for(int i = 2; i < 100001; i++){ if(nonp[i]) continue; p.push_back(i); for(int j = i+i; j < 100001; j += i) nonp[j] = true; } int N, k; cin >> N >> k; int n = N; map fact; for(int prime : p){ while(n%prime == 0){ n /= prime; fact[prime]++; } } if(n != 1) fact[n]++; n = N; int ans = -1; ll score = 0; for(int i = 1; i < n; i++){ map use; int cp = i; for(int j = 2; j*j <= cp; j++){ while(cp%j == 0) cp /= j, use[j]++; } if(cp != 1) use[cp]++; int tmp = 0; ll tmps = 1; for(auto x : use){ int add = min(x.second, fact[x.first]); tmp += add; tmps *= x.second+1; } if(tmp >= k && tmps > score) ans = i, score = tmps; } cout << ans << endl; return 0; }