#include using namespace std; // Define using ll = long long; using ull = unsigned long long; using ld = long double; template using pvector = vector>; template using rpriority_queue = priority_queue, greater>; constexpr const ll dx[4] = {1, 0, -1, 0}; constexpr const ll dy[4] = {0, 1, 0, -1}; constexpr const ll MOD = 1e9 + 7; constexpr const ll mod = 998244353; constexpr const ll INF = 1LL << 60; constexpr const ll inf = 1 << 30; constexpr const char rt = '\n'; constexpr const char sp = ' '; #define mp make_pair #define mt make_tuple #define pb push_back #define eb emplace_back #define elif else if #define fi first #define se second template bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; } // Debug #define debug(...) \ { \ cerr << __LINE__ << ": " << #__VA_ARGS__ << " = "; \ for (auto &&X : {__VA_ARGS__}) cerr << "[" << X << "] "; \ cerr << rt; \ } #define dump(a, h, w) \ { \ cerr << __LINE__ << ": " << #a << " = [" << rt; \ rep(_i, h) { \ rep(_j, w) { \ if (a[_i][_j] <= -INF / 2) cerr << '-'; \ if (abs(a[_i][_j]) >= INF / 2) \ cerr << "∞" << sp; \ else \ cerr << a[_i][_j] << sp; \ } \ cerr << rt; \ } \ cerr << "]" << rt; \ } #define vdump(a, n) \ { \ cerr << __LINE__ << ": " << #a << " = ["; \ rep(_i, n) { \ if (_i) cerr << sp; \ if (a[_i] <= -INF / 2) cerr << '-'; \ if (abs(a[_i]) >= INF / 2) \ cerr << "∞" << sp; \ else \ cerr << a[_i]; \ } \ cerr << "]" << rt; \ } // Loop #define inc(i, a, n) for (ll i = (a), _##i = (n); i <= _##i; ++i) #define dec(i, a, n) for (ll i = (a), _##i = (n); i >= _##i; --i) #define rep(i, n) for (ll i = 0, _##i = (n); i < _##i; ++i) #define each(i, a) for (auto &&i : a) // Stream #define fout(n) cout << fixed << setprecision(n) struct io { io() { cin.tie(nullptr), ios::sync_with_stdio(false); } } io; // Speed #pragma GCC optimize("Ofast,unroll-loops") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") // Math inline constexpr ll gcd(const ll a, const ll b) { return b ? gcd(b, a % b) : a; } inline constexpr ll lcm(const ll a, const ll b) { return a / gcd(a, b) * b; } inline constexpr ll modulo(const ll n, const ll m = MOD) { ll k = n % m; return k + m * (k < 0); } inline constexpr ll chmod(ll &n, const ll m = MOD) { n %= m; return n += m * (n < 0); } inline constexpr ll mpow(ll a, ll n, const ll m = MOD) { ll r = 1; rep(i, 64) { if (n & (1LL << i)) r *= a; chmod(r, m); a *= a; chmod(a, m); } return r; } inline ll inv(const ll n, const ll m = MOD) { ll a = n, b = m, x = 1, y = 0; while (b) { ll t = a / b; a -= t * b; swap(a, b); x -= t * y; swap(x, y); } return modulo(x, m); } const ll mo = 1e9 + 7; struct mint { ll x; mint(ll x = 0) : x((x % mo + mo) % mo) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint &a) { if ((x += a.x) >= mo) x -= mo; return *this; } mint &operator-=(const mint &a) { if ((x += mo - a.x) >= mo) x -= mo; return *this; } mint &operator*=(const mint &a) { (x *= a.x) %= mo; return *this; } mint operator+(const mint &a) const { return mint(*this) += a; } mint operator-(const mint &a) const { return mint(*this) -= a; } mint operator*(const mint &a) const { return mint(*this) *= a; } bool operator==(const mint &a) const { return x == a.x; } bool operator!=(const mint &a) const { return x != a.x; } bool operator<=(mint a) { return x <= a.x; } bool operator<(mint a) { return x < a.x; } friend ll abs(mint a) { return a.x; } friend mint pow(const mint &a, ll n) { if (!n) return 1; mint b = pow(a, n >> 1); b *= b; if (n & 1) b *= a; return b; } mint inv() const { return pow(*this, mo - 2); } mint &operator/=(mint &a) { return (*this) *= a.inv(); } mint operator/(mint a) const { return mint(*this) /= a; } friend istream &operator>>(istream &is, mint &a) { ll t; is >> t; a = mint(t); return is; } friend ostream &operator<<(ostream &os, mint a) { os << a.x; return os; } }; mint operator"" M(const ull n) { return mint(n); } struct modmath { vector fac, inv; modmath(ll n = 1 << 20) : fac(n + 1), inv(n + 1) { fac[0] = 1; rep(i, n) fac[i + 1] = fac[i] * (i + 1); inv[n] = fac[n].inv(); dec(i, n - 1, 0) inv[i] = inv[i + 1] * (i + 1); } mint F(ll n) { if (n < 0) return 0; return fac[n]; } mint P(ll n, ll r) { if (r < 0 || n < r || n < 0) return 0; return fac[n] * inv[n - r]; } mint C(ll n, ll r) { if (r < 0 || n < r || n < 0) return 0; return fac[n] * inv[r] * inv[n - r]; } mint c(ll n) { if (n < 0) return 0; return fac[2 * n] * inv[n] * inv[n + 1]; } mint H(ll n, ll r) { return C(n + r - 1, n - 1); } } math; struct fact { ll N; vector A, B, C; fact(ll n = 1 << 20) : N(n), A(n + 1, 1), B(n + 1), C(n + 1, 1) { A[0] = A[1] = C[0] = C[1] = 0; inc(i, 2, N) { if (A[i] == 1) { for (ll k = 2 * i; k <= N; k += i) { A[k] = 0; B[k] = i; } } else { C[i] = C[i / B[i]] + 1; } } } bool p(ll n) { return A[n]; } ll mf(ll n) { return B[n]; } ll sf(ll n) { return C[n]; } } fact(20000); signed main() { ll N; cin >> N; ll DP[N + 1]; rep(i, N + 1) DP[i] = -INF; DP[0] = 0; rep(i, N) dec(j, N, 0) { if (fact.p(i + 1) and j + i + 1 <= N) { chmax(DP[j + i + 1], DP[j] + 1); } } cout << (DP[N] < 0 ? -1 : DP[N]) << rt; }