#define _CRT_SECURE_NO_WARNINGS #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define INF (1<<29) #define rep(i,n) for(int i=0;i<(int)(n);i++) #define all(v) v.begin(),v.end() #define uniq(v) v.erase(unique(all(v)),v.end()) //エラトステネスの篩 O(n loglog n) #define MAX_N 20000 int prime[MAX_N];//i番目の素数 bool is_prime[MAX_N + 1]; int sieve(int n) { int p = 0; memset(is_prime, true, sizeof(is_prime)); is_prime[0] = is_prime[1] = false; for (int i = 2; i <= n; i++) { if (is_prime[i]) { prime[p++] = i; for (int j = 2 * i; j <= n; j += i)is_prime[j] = false; } } return p; } int dp[20001]; int main() { ios::sync_with_stdio(0); cin.tie(0); int n; cin >> n; int np = sieve(n); fill_n(dp, n + 1, -INF); dp[0] = 0; rep(j, np) { for (int i = n - 1; i >= 0;i--) { if (i + prime[j] <= n) dp[i + prime[j]] = max(dp[i + prime[j]], dp[i] + 1); } } cout << (dp[n] < 0 ? -1 : dp[n]) << endl; return 0; }