#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; const ll mod = 1000000007; typedef long double ld; const ll INF = 1e+14; typedef pair P; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) typedef complex Point; const ld eps = 1e-8; const ld pi = acos(-1.0); typedef pair LDP; typedef pair LP; #define fr first #define sc second ul mod_pow(ul x, ul n, ul m) { ul ret = 1; while (n) { if (n % 2)ret = ret * x%m; x = x * x%m; n >>= 1; } return ret; } bool intest(ul a, ul d, ul n,int s) { if (mod_pow(a, d,n) == 1)return false; rep(r, s) { ul d_ = ((ul)1 << r)*d; if (mod_pow(a, d_, n) == -1)return false; } return true; } //true means prime bool miller_rabin_primality_test(ul n,int t=100) { if (n == 1)return false; int s = 0; ul d = n; while (d % 2 == 0) { d /= 2; s++; } random_device rnd; mt19937_64 mt(rnd()); rep(i, t) { ul a = mt(); a %= (n - 1); a++; if (intest(a, d, n, s))return false; } return true; } const int mn = 2001; bool isp[mn + 1]; void init() { fill(isp + 2, isp + mn + 1, true); Rep1(i, 2, mn) { if (!isp[i])continue; for (int j = 2 * i; j <= mn; j += i) { isp[j] = false; } } } bool testmincase(int n, int m) { if (isp[n])return false; vector used(n, false); queue q; q.push(0); used[0] = true; rep(i, n) { if (isp[i + 1])used[i] = true; } while (!q.empty()) { int id = q.front(); q.pop(); if (id%m) { if (!used[id - 1]) { used[id - 1] = true; q.push(id - 1); } } if ((id%m) < m - 1 && id < n - 1) { if (!used[id + 1]) { used[id + 1] = true; q.push(id + 1); } } if (id - m >= 0) { if (!used[id - m]) { used[id - m] = true; q.push(id - m); } } if (id + m < n) { if (!used[id + m]) { used[id + m] = true; q.push(id + m); } } } return used[n - 1]; } void solve() { init(); string s; cin >> s; if (s.length() > 18) { cout << 8 << endl; return; } else if (s.length() <= 2) { int n = stoi(s); rep1(i, n) { if (testmincase(n, i)) { cout << i << endl; return; } } } else { ul c = stoull(s); c -= 8; if (c%8==1&&miller_rabin_primality_test(c))cout << 14 << endl; else cout << 8 << endl; } } int main() { solve(); //stop return 0; }