#include #include #include #include #include #include using namespace std; class Primes { public: int n; vector primes; vector isPrime; Primes(int num) { n = num; calc(); } private: void calc() { isPrime.assign(n + 1, true); isPrime[0] = isPrime[1] = false; for (int i = 2; i * i <= n; i++) { if (isPrime[i]) { for (int j = i + i; j <= n; j += i) { isPrime[j] = false; } } } for (int i = 0; i <= n; i++) { if (isPrime[i]) { primes.emplace_back(i); } } } }; int main() { int n; cin >> n; auto primes = Primes(n).primes; vector dp(2*n + 1, -1); dp[0] = 0; for (auto pr : primes) { auto work = dp; for (int i = 0; i < n; i++) { if (dp[i] >= 0) { work[i + pr] = max(work[i + pr], work[i] + 1); } } dp = work; } cout << dp[n] << endl; return 0; }