#pragma region Macros #include using namespace std; using namespace __gnu_pbds; // using namespace __gnu_cxx; #define TO_STRING(var) # var #define pb emplace_back #define int ll #define endl '\n' using ll = long long; using ld = long double; const ld PI = acos(-1); const ld EPS = 1e-10; const int INF = 1 << 30; const ll INFL = 1LL << 62; const int MOD = 998244353; // const int MOD = 1000000007; int ceil(int x, int y) {return (x > 0 ? (x + y - 1) / y : x / y);} int POW(int x, int y) { if (y != (int)(y) or y < 0 or x != 0 && x != 1 && y > 64) {cout << "Error" << endl;return 0;} if (y == 0) return 1; if (y % 2 == 0) return POW(x * x, y / 2); return x * POW(x, y - 1); } __attribute__((constructor)) void constructor() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); } #pragma endregion vector erat(int n) { vector prime(n + 1, true); prime[0] = false; if (n >= 1) prime[1] = false; for (int i = 2; i * i <= n; i++) { if (prime[i]) { for (int j = i + i; j <= n; j += i) { prime[j] = false; } } } vector ret; for (int i = 2; i <= n; i++) { if (prime[i]) ret.pb(i); } return ret; } signed main() { int N; cin >> N; vector p = erat(N); int sz = p.size(); vector> dp(sz + 1,vector(40000, -1)); dp[0][0] = 0; for (int i = 0; i < sz; i++) { for (int j = 0; j <= N; j++) { if (dp[i][j] == -1) continue; dp[i + 1][j] = max(dp[i + 1][j], dp[i][j]); dp[i + 1][j + p[i]] = max(dp[i + 1][j + p[i]], dp[i][j] + 1); } } cout << dp[sz][N] << endl; }