#include using namespace std ; #define fast_input_output ios::sync_with_stdio(false); cin.tie(nullptr); typedef long long ll ; typedef long double ld ; typedef pair P ; typedef tuple TP ; #define chmin(a,b) a = min(a,b) #define chmax(a,b) a = max(a,b) #define bit_count(x) __builtin_popcountll(x) #define gcd(a,b) __gcd(a,b) #define lcm(a,b) a / gcd(a,b) * b #define rep(i,n) for(int i = 0 ; i < n ; i++) #define rrep(i,a,b) for(int i = a ; i < b ; i++) #define endl "\n" const int mod = 998244353 ; ll powmod(ll x , ll n){ ll res = 1 ; while(n > 0){ if(n & 1) (res *= x) %= mod ; (x *= x) %= mod ; n >>= 1 ; } return res ; } int n , k ; ll dp[2020][2020] ; int main(){ fast_input_output cin >> n >> k ; dp[0][0] = 1 ; rep(i,k){ rep(j,n+1) { ll rem = n - j ; ll val = powmod(rem,mod-2) ; dp[i+1][j+1] += dp[i][j] * val % mod ; dp[i+1][n+1] -= dp[i][j] * val % mod ; dp[i+1][j+1] %= mod ; dp[i+1][n+1] += mod ; dp[i+1][n+1] %= mod ; } rep(j,n+2) (dp[i+1][j+1] += dp[i+1][j]) %= mod ; } ll res = 0 ; rep(i,k+1) (res += dp[i][n]) %= mod ; cout << res << endl ; }