#include "bits/stdc++.h" using namespace std; #ifdef _DEBUG #define _GLIBCXX_DEBUG #include "dump.hpp" #else #define dump(...) #endif #define int long long #define ll long long #define DBG 1 #define rep(i, a, b) for (int i = (a); i < (b); i++) #define rrep(i, a, b) for (int i = (b)-1; i >= (a); i--) #define loop(n) rep(loop, (0), (n)) #define all(c) begin(c), end(c) const int INF = sizeof(int) == sizeof(long long) ? 0x3f3f3f3f3f3f3f3fLL : 0x3f3f3f3f; const int MOD = (int)(1e9) + 7; #define fi first #define se second #define pb push_back #define eb emplace_back using pii = pair; // template ostream &operator<<(ostream &os,T &t){dump(t);return os;} template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, pair &p) { os << p.first << " " << p.second; return os; } template void printvv(const vector> &v) { cerr << endl; rep(i, 0, v.size()) rep(j, 0, v[i].size()) { if (typeid(v[i][j]).name() == typeid(INF).name() and v[i][j] == INF) { cerr << "INF"; } else cerr << v[i][j]; cerr << (j == v[i].size() - 1 ? '\n' : ' '); } cerr << endl; } #ifndef _DEBUG #define printvv(...) #endif void YES(bool f) { cout << (f ? "YES" : "NO") << endl; } void Yes(bool f) { cout << (f ? "Yes" : "No") << endl; } template bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; }return false; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return true; }return false; } vector prime_factorization(int x) { vector min_fact(x + 1); min_fact[1] = 1; for (int i = 2; i <= x; i++) { if (min_fact[i] != 0) continue; for (int j = i; j <= x; j += i) { if (min_fact[j] == 0) min_fact[j] = i; } } vectorfact; while (x > 1) { int f = min_fact[x]; fact.emplace_back(f); x /= f; } return fact; } signed main(signed argc, char *argv[]) { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(12); int N, K; cin >> N >> K; int x = N; vector min_fact(x + 1); min_fact[1] = 1; for (int i = 2; i <= x; i++) { if (min_fact[i] != 0) continue; for (int j = i; j <= x; j += i) { if (min_fact[j] == 0) min_fact[j] = i; } } mapmp; while (x > 1) { int f = min_fact[x]; mp[f]++; x /= f; } int ans = 0; int cnt = 0; rep(i, 1, N) { mapmp2; int x = i; while (x > 1) { int f = min_fact[x]; mp2[f]++; x /= f; } int y = 1; int common = 0; for (auto p : mp2) { common += min(p.second, mp[p.first]); y *= p.second + 1; } if (common >= K and chmax(cnt, y))ans = i; } cout << ans << endl; return 0; }