#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; constexpr int INF = 1001001001; constexpr int mod = 1000000007; // constexpr int mod = 998244353; template inline bool chmax(T& x, T y){ if(x < y){ x = y; return true; } return false; } template inline bool chmin(T& x, T y){ if(x > y){ x = y; return true; } return false; } struct ExtendedSieve{ vector table; const int n; ExtendedSieve(int n) : n(n) { table.assign(n + 1, 0); table[0] = table[1] = 1; for(int i = 2; i <= n; ++i){ if(table[i] > 0) continue; table[i] = i; for(int j = i + i; j <= n; j += i){ if(table[j] == 0) table[j] = i; } } } int operator[](const int& k){ return table[k]; } bool is_prime(int x){ if(x < 2) return false; return x == table[x]; } map prime_factorization(int x){ map res; while(x > 1){ ++res[table[x]]; x /= table[x]; } return res; } }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int M, N; cin >> M >> N; vector C(N); for(int i = 0; i < N; ++i) cin >> C[i]; vector dp(M + 1, -1); dp[0] = 0; for(int i = 0; i < N; ++i){ for(int j = 0; j + C[i] <= M; ++j){ if(dp[j] != -1) chmax(dp[j + C[i]], dp[j] + 1); } } ExtendedSieve sieve(10000); int ans = M / *min_element(begin(C), end(C)); for(int i = 2; i <= M; ++i){ if(!sieve.is_prime(i)) continue; ans += max(0, dp[M - i]); } cout << ans << endl; return 0; }