#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(primes.size() + 1, vector(N + 1, 0)); dp[0][0] = 1; for (int i = 0; i < (int)primes.size(); i++) { for (int j = 0; j < N + 1; j++) { dp[i + 1][j] = max(dp[i + 1][j], dp[i][j]); if (j + primes[i] <= N && dp[i][j] > 0) dp[i + 1][j + primes[i]] = max(dp[i + 1][j + primes[i]], dp[i][j] + 1); } } cout << dp[primes.size()][N] - 1 << '\n'; return 0; }