// template version 1.7 // varibable settings {{{ using namespace std; #include #include #define int long long #define INF 1e18 // #define INF 2147483647 #define MOD 1e9+7 #define infile "../test/sample-1.in" int dx[]={1, -1, 0, 0}; int dy[]={0, 0, 1, -1}; #define fi first #define se second // }}} // define basic macro {{{ #define _overload3(_1,_2,_3,name,...) name #define _rep(i,n) repi(i,0,n) #define repi(i,a,b) for(int i=(int)(a);i<(int)(b);++i) #define rep(...) _overload3(__VA_ARGS__,repi,_rep,)(__VA_ARGS__) #define _rrep(i,n) rrepi(i,0,n) #define rrepi(i,a,b) for(int i=(int)(b-1);i>=(int)(a);--i) #define rrep(...) _overload3(__VA_ARGS__,rrepi,_rrep,)(__VA_ARGS__) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define pb(a) push_back(a) #define mp(a, b) make_pair(a, b) #define uni(x) sort(all(x));x.erase(unique(all(x)),x.end()) template inline void chmax(T &a, const T &b) { if(a < b) a = b; } template inline void chmin(T &a, const T &b) { if(a > b) a = b; } typedef long long ll; typedef vector vi; typedef vector vvi; typedef long double ld; typedef pair pii; typedef tuple iii; template using PQ = priority_queue, greater>; // dump macro #ifdef PCM #include "dump.hpp" #else #define dump(...) 42 #define dump_1d(...) 42 #define dump_2d(...) 42 #endif struct Fast { Fast(){ std::cin.tie(0); ios::sync_with_stdio(false); } } fast; // }}} int n; int k; map prime_factor(int n) { // 素因数分解 (o(√N)){{{ map res; for(int i = 2; i * i <= n; i++) { while(n % i == 0) { ++res[i]; n /= i; } } if (n != 1) res[n] += 1; return res; } /*}}}*/ int check(auto a, auto b){ int t=0; for(auto& el:a){ t += min(a[el.first], b[el.first]); } if (t>=k) return true; else return false; } int solve(){ cin>>n>>k; auto d = prime_factor(n); // dump(d); map dp[n]; dp[2][2]=1; int dc = 0; int M = -1; rep(i, 3, n){ for (int j=2; j*j <= i; ++j){ if (i%j==0){ dp[i] = map(dp[i/j]); dp[i][j]++; break; } } if (dp[i].empty()) dp[i][i]=1; // dump(i, dp[i]); if (check(d, dp[i])){ int t=1; for (auto& el:dp[i]){ t *= (el.second+1); } if (t>dc) { dc = t; M = i; } } } cout << M << endl; return 0; } signed main() { //{{{ #ifdef INPUT_FROM_FILE std::ifstream in(infile); std::cin.rdbuf(in.rdbuf()); #endif solve(); return 0; } //}}}