#include using namespace std; class SieveOfEratosthenes { private: std::vector sieve; public: SieveOfEratosthenes(int n) : sieve(n + 1) { std::iota(sieve.begin(), sieve.end(), 0); for (int i = 2; i * i < n + 1; i++) { if (sieve[i] != i) continue; for (int j = i * i; j < n + 1; j += i) { if (sieve[j] == j) sieve[j] = i; } } } bool is_prime(int x) const { return x != 0 && x != 1 && sieve[x] == x; } std::vector factor(int x) const { std::vector res; while (x > 1) { res.emplace_back(sieve[x]); x /= sieve[x]; } return res; } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int N; cin >> N; SieveOfEratosthenes soe(N); vector primes; for (int i = 0; i < N + 1; i++) { if (soe.is_prime(i)) primes.emplace_back(i); } vector dp(N + 1, -1); dp[0] = 0; for (int p : primes) { for (int x = N; x > -1; x--) { if (dp[x] != -1 && x + p < N + 1) dp[p + x] = max(dp[p + x], dp[x] + 1); } } cout << dp[N] << '\n'; return 0; }