#include #include #include #include #include #include using namespace std; using lint = long long; const lint mod = 1000000007; #define all(x) (x).begin(), (x).end() #define bitcount(n) __builtin_popcountl((lint)(n)) #define fcout cout << fixed << setprecision(15) #define highest(x) (63 - __builtin_clzl(x)) template inline void YES(T condition){ if(condition) cout << "YES" << endl; else cout << "NO" << endl; } template inline void Yes(T condition){ if(condition) cout << "Yes" << endl; else cout << "No" << endl; } templateint character_count(T text, U character){ int ans = 0; for(U i: text){ ans += (i == character); } return ans; } lint power(lint base, lint exponent, lint module){ if(exponent % 2){ return power(base, exponent - 1, module) * base % module; }else if(exponent){ lint root_ans = power(base, exponent / 2, module); return root_ans * root_ans % module; }else{ return 1; }} struct position{ int y, x; }; position mv[4] = {{0, -1}, {1, 0}, {0, 1}, {-1, 0}}; template string to_string(pair x){ return to_string(x.first) + "," + to_string(x.second); } string to_string(string x){ return x; } template void array_output(itr start, itr goal){ string ans; for(auto i = start; i != goal; i++) ans += to_string(*i) + " "; if(!ans.empty()) ans.pop_back(); cout << ans << endl; } template void cins(itr first, itr last){ for(auto i = first; i != last; i++){ cin >> (*i); } } template T gcd(T a, T b){ if(a && b){ return gcd(min(a, b), max(a, b) % min(a, b)); }else{ return a; }} template T lcm(T a, T b){ return a / gcd(a, b) * b; } struct combination{ vector fact, inv; combination(int sz) : fact(sz + 1), inv(sz + 1){ fact[0] = 1; for(int i = 1; i <= sz; i++){ fact[i] = fact[i - 1] * i % mod; } inv[sz] = power(fact[sz], mod - 2, mod); for(int i = sz - 1; i >= 0; i--){ inv[i] = inv[i + 1] * (i + 1) % mod; } } lint C(int p, int q) const{ if(q < 0 || p < q) return 0; return (fact[p] * inv[q] % mod * inv[p - q] % mod); } }; template bool next_sequence(itr first, itr last, int max_bound){ itr now = last; while(now != first){ now--; (*now)++; if((*now) == max_bound){ (*now) = 0; }else{ return true; } } return false; } vector factor(int N){ vector ans; for(int i = 2; i * i <= N; ){ if(N % i == 0){ ans.push_back(i); N /= i; }else{ i++; } } ans.push_back(N); sort(all(ans)); return ans; } int factor2(int N){ int ans = 0; for(int i = 1; i * i <= N; i++){ if(N % i == 0){ if(i * i == N){ ans += 1; }else{ ans += 2; } } } return ans; } int main(){ int N, K; cin >> N >> K; vector facts = factor(N); int ans = 0, ans_sz = -1; for(int i = 2; i < N; i++){ vector this_fact = factor(i), fact2 = facts; int sz = factor2(i); int count = 0; while(this_fact.size() && fact2.size()){ if(this_fact.back() < fact2.back()){ fact2.pop_back(); }else if(this_fact.back() > fact2.back()){ this_fact.pop_back(); }else{ count++; fact2.pop_back(); this_fact.pop_back(); } } if(count >= K && ans_sz < sz){ ans_sz = sz; ans = i; } } assert(ans); cout << ans << endl; }