#include using namespace std; #define rep(i,n) for(int i = 0; i < (int)(n); ++i) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) a.begin(), a.end() #define Sort(a) sort(a.begin(), a.end()) #define RSort(a) sort(a.rbegin(), a.rend()) typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef pair P; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; i++){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } struct Combination{ vector memo; vector memoinv; long long mod; Combination(int N, long long m) : memo(N+1), memoinv(N+1){ mod = m; memo[0] = 1; for(int i = 1; i <= N; i++){ memo[i] = memo[i-1] * i; memo[i] %= mod; } memoinv[0] = inv(1LL, mod); for(int i = 1; i <= N; i++){ memoinv[i] = inv(1LL * memo[i], mod); memoinv[i] %= mod; } } long long inv(long long a, long long m){ long long b = m, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= m; if (u < 0) u += m; return u; } long long fact(long long n){ return memo[n]; } long long factinv(long long n){ return memoinv[n]; } long long ncr(long long n, long long r){ if(n < r || r < 0) return 0; return (memo[n] * memoinv[r] % mod) * memoinv[n - r] % mod; } long long npr(long long n, long long r){ if(n < r || r < 0) return 0; return (memo[n] % mod) * memoinv[n - r] % mod; } }; template T modpow(T x, T n, const T &m){ T ret = 1; x %= m; while(n > 0){ if(n & 1) (ret *= x) %= m; (x *= x) %= m; n >>= 1; } return ret; } ll n, k; void input(){ in(n, k); } void solve(){ ll ans = 0; Combination comb(n + 1, MOD); for(ll i = 1; i <= n - 1; i++){ ans += modpow(i, k, MOD) * comb.ncr(n - 1, i) % MOD; ans %= MOD; } out(ans); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); input(); solve(); }