#pragma GCC optimize("O3") #include #define ll long long #define rep(i,n) for(ll i=0;i<(n);i++) #define pll pair #define pii pair #define pq priority_queue #define pb push_back #define eb emplace_back #define fi first #define se second #define endl '\n' #define ios ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0); #define lb(c,x) distance(c.begin(),lower_bound(all(c),x)) #define ub(c,x) distance(c.begin(),upper_bound(all(c),x)) using namespace std; inline int topbit(unsigned long long x){ return x?63-__builtin_clzll(x):-1; } inline int popcount(unsigned long long x){ return __builtin_popcountll(x); } inline int parity(unsigned long long x){//popcount%2 return __builtin_parity(x); } template inline bool chmax(T& a,T b){if(a inline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;} const ll INF=1e9+7; int main(){ ll n; cin >> n; if(n==1){ cout << 2 << endl; return 0; } if(n==2){ cout << 3 << endl; return 0; } for(ll p=2;p<=min(1000000LL,n);p++){ vector b; b.push_back(1); ll val=p; ll s=n; while(val<=n){ b.push_back(val); val*=p; } reverse(b.begin(),b.end()); ll sz=b.size(); ll r=0; bool ok=true; rep(i,sz){ if(i){ if(r!=s/b[i]){ ok=false; break; } else{ s-=r*b[i]; } } else{ r=s/b[i]; s-=r*b[i]; } } if(ok){ cout << p << endl; return 0; } } vector q; for(ll i=1;i*i<=n;i++){ if(n%i==0){ q.push_back(i); if(i*i!=n){ q.push_back(n/i); } } } sort(q.rbegin(),q.rend()); for(auto a:q){ ll x=n/a-1; if(a