#include #include #define repeat_reverse(i,n) for (int i = (n)-1; (i) >= 0; --(i)) using namespace std; template void setmax(T & a, T const & b) { if (a < b) a = b; } vector sieve_of_eratosthenes(int n) { // enumerate primes in [2,n] with O(n log log 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 k = i+i; k <= n; k += i) is_prime[k] = false; vector primes; for (int i = 2; i <= n; ++i) if (is_prime[i]) primes.push_back(i); return primes; } int main() { int n; cin >> n; vector primes = sieve_of_eratosthenes(n); vector dp(n+1, -1); dp[0] = 0; for (int p : primes) { repeat_reverse (i,n) if (dp[i] != -1 and i+p < n+1) { setmax(dp[i+p], dp[i]+1); } } cout << dp[n] << endl; return 0; }