#include #include using namespace std; int n; vector primes; void setPrime(int n) { bool is_prime[20001] = {false}; for (int i = 2; i <= n; i++) is_prime[i] = true; for (int i = 2; i <= n; i++) { if (is_prime[i]) { for (int j = i * 2; j <= n; j += i) { is_prime[j] = false; } } } for (int i = 2; i <= n; i++) { if (is_prime[i]) { primes.push_back(i); } } } int dp[20001][3001]; //dp[i][j] = 今までの和がiでj番目の素数から使えるときの, 今までの項数の最大値 int main() { cin >> n; setPrime(n); for (int i = 0; i <= n; i++) { for (int j = 0; j <= primes.size(); j++) { dp[i][j] = -114514; } } dp[0][0] = 0; for (int i = 0; i < n; i++) { for (int j = 0; j < primes.size(); j++) { //使わない dp[i][j + 1] = max(dp[i][j + 1], dp[i][j]); //使う if (i + primes[j] <= n) { dp[i + primes[j]][j + 1] = max(dp[i + primes[j]][j + 1], dp[i][j] + 1); } } } int ans = -1; for (int i = 0; i <= primes.size(); i++) { if (dp[n][i] > 0) { ans = max(ans, dp[n][i]); } } cout << ans << endl; return 0; }