// No.458 異なる素数の和 // https://yukicoder.me/problems/no/458 // #include #include #include #include #include using namespace std; vector create_prime_list(unsigned int limit); int solve(unsigned int n, vector &primes); vector create_prime_list(unsigned int limit) { // エラトステネスの篩 vector isprime(limit+1, true); isprime[0] = false; isprime[1] = false; for (auto i = 2; i <= sqrt(limit); ++i) { if (isprime[i]) { int j = i + i; while (j <= limit) { isprime[j] = false; j += i; } } } return isprime; } int dp[3000][20001]; int main() { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); unsigned int n; cin >> n; // chrono::system_clock::time_point s = chrono::system_clock::now(); // 素数リストの作成 vector res = create_prime_list(n); vector primes; for (auto i = 2; i < res.size(); ++i) { if (res[i]) primes.push_back(i); } int ans = solve(n, primes); cout << ans << endl; // chrono::system_clock::time_point t = chrono::system_clock::now(); // chrono::milliseconds mss = chrono::duration_cast (s.time_since_epoch()); // chrono::milliseconds mst = chrono::duration_cast (t.time_since_epoch()); // cout << mst.count() - mss.count() << endl; } int solve(unsigned int n, vector &primes) { //vector> dp; //for (int y = 0; y <= primes.size(); ++y) { //vector t(n+1, -1); // dp.push_back(t); //} //dp[0][0] = 0; dp[0][0] = 1; for (int y = 1; y <= primes.size(); ++y) { int p = primes[y-1]; for (int x = 0; x <= n; ++x) { if (x >= primes[y-1] && dp[y-1][x-primes[y-1]] >= 1) dp[y][x] = max(dp[y-1][x-primes[y-1]]+1, dp[y-1][x]); else dp[y][x] = dp[y-1][x]; } } return dp[primes.size()][n] - 1; }