#include #include #include #include #include #include using namespace std; vector get_primes(int n) { vector is_prime(n + 1, true); is_prime[0] = is_prime[1] = false; for (int i = 2; i * i <= n; i++) { if (is_prime[i]) { for (int j = i * 2; j <= n; j += i) { is_prime[j] = false; } } } vector primes; for (int i = 0; i <= n; i++) { if (is_prime[i]) { primes.emplace_back(i); } } return primes; } int main() { int n; cin >> n; auto primes = get_primes(n); vector dp(n + 1, -1); dp[0] = 0; for (auto prime : primes) { for (int i = n; i >= 0; i--) { if (dp[i] == -1) { continue; } int x = i + prime; if (x <= n) { dp[x] = max(dp[x], dp[i] + 1); } } } cout << dp[n] << endl; return 0; }