#include<iostream> #include<algorithm> #include<vector> #include<cmath> #include<memory> using namespace std; using Long=long long int; std::vector<Long> genprimes(Long N) { std::vector<Long> p(N); for(Long i=2;i<N;++i) p[i]=i; for(Long i=2;i<sqrt(N);++i) { if(p[i]) { for(Long j=2*i;j<N;j+=i) { p[j]=0; } } } p.erase(remove(p.begin(),p.end(),0),p.end()); return p; } bool isprime(Long N) { if(N<2) return false; if(N==2||N==3)return true; if(N%2==0||N%3==0)return false; for(Long i=6;i<sqrt(N)+1;i+=6) { if(N%(i-1)==0 || N%(i+1)==0) return false; } return true; } int main() { auto primes = genprimes(Long(1e6)); Long N;cin>>N; if(N%2==0 || N%3==0) { if(N%3==0) { cout << 3 << endl; return 0; } else if (N%4==0) { cout << 4 << endl; return 0; } else if(isprime(N/2)) { cout << N/2 << endl; return 0; } } for(auto x : primes) { if(x==2) continue; if(N%x==0) { cout<<x<<endl; return 0; } } cout<<N<<endl; }