#include #define LL long long #define VI vector #define VB vector #define VL vector #define FOR(i,a,b) for(int i= (a); i<((int)b); ++i) #define RFOR(i,a) for(int i=(a); i >= 0; --i) #define FOE(i,a) for(auto i : a) #define ALL(c) (c).begin(), (c).end() #define RALL(c) (c).rbegin(), (c).rend() #define DUMP(x) cerr << #x << " = " << (x) << endl; #define SUM(x) std::accumulate(ALL(x), 0LL) #define MIN(v) *std::min_element(v.begin(), v.end()) #define MAX(v) *std::max_element(v.begin(), v.end()) #define EXIST(v,x) (std::find(v.begin(), v.end(), x) != v.end()) #define BIT(n) (1LL<<(n)) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()); #define EPS 1e-14 const std::string YES = "YES"; const std::string Yes = "Yes"; const std::string NO = "NO"; const std::string No = "No"; bool inside(int y, int x, int H, int W) { return 0 <= y && y < H && 0 <= x && x < W; } // 4近傍(右, 下, 左, 上) const std::vector dy = { 0, -1, 0, 1 }; const std::vector dx = { 1, 0, -1, 0 }; using namespace std; // nまでの素数のリストを作成(nを含む) O(N log log N) vector make_prime_list(int n) { vector is_prime(n + 1, true); is_prime[0] = false; is_prime[1] = false; vector prime_list; for (int i = 2; i < n + 1; ++i) { if (!is_prime[i]) { continue; } prime_list.emplace_back(i); for (int j = i + i; j < n + 1; j += i) { is_prime[j] = false; } } return prime_list; // 素数のリスト //return is_prime; // すべての数値について素数かどうか } int main() { int N; cin >> N; vector prime_list = make_prime_list(N); vector dp(N + 1, -1); FOE(p, prime_list) { dp[p] = 1; } for(int i = dp.size() - 1; i >= 0; --i) { if (dp[i] == -1) { continue; } for(int j = dp.size() - 1; j > i ; --j) { if (dp[j] == -1) { continue; } if (i + j < dp.size()) { dp[i + j] = max(dp[i + j], dp[i] + dp[j]); } } } cout << dp[N] << endl; return 0; }