#include #include #include #define repeat(i,n) for (int i = 0; (i) < (n); ++(i)) #define whole(f,x,...) ([&](decltype((x)) y) { return (f)(begin(y), end(y), ## __VA_ARGS__); })(x) using namespace std; template void setmax(T & a, T const & b) { if (a < b) a = b; } vector sieve_of_eratosthenes(int n) { // enumerate primes in [2,n] with O(n log log n) vector is_prime(n+1, true); is_prime[0] = is_prime[1] = false; for (int i = 2; i*i <= n; ++i) if (is_prime[i]) for (int k = i+i; k <= n; k += i) is_prime[k] = false; return is_prime; } int main() { // input int m, n; scanf("%d%d", &m, &n); vector cs(n); repeat (i,n) scanf("%d", &cs[i]); // compute vector dp(m+1); dp[0] = 0; repeat (i,m+1) { for (int c : cs) if (i-c >= 0) { if (i-c == 0 or dp[i-c] >= 1) { setmax(dp[i], dp[i-c] + 1); } } } int ans = 0; vector is_prime = sieve_of_eratosthenes(m+1); repeat (i,m+1) if (is_prime[m-i]) ans += dp[i]; ans += *whole(max_element, dp); // output printf("%d\n", ans); return 0; }