#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } int main() { ll N, K; cin >> N >> K; vector fact(N + K + 1); fact[0] = 1; for (ll i = 0; i < N + K; i++) { fact[i + 1] = (fact[i] * mint(i + 1)); } vector inv_val(N + K + 1); inv_val[0] = 1; inv_val[1] = 1; for (ll i = 2; i <= N + K; i++) { inv_val[i] = (inv_val[mod2 % i] * mint(-mod2 / i)); } vector fact_inv(N + K + 1); fact_inv[0] = 1; for (ll i = 0; i < N + K; i++) { fact_inv[i + 1] = (fact_inv[i] * inv_val[i + 1]); } auto comb = [&fact, &fact_inv](ll n, ll r) -> mint { mint ret; if (r < 0) { ret = mint(0); } else if (r > n) { ret = mint(0); } else { ret = (fact[n] * fact_inv[n - r]); ret = (ret * fact_inv[r]); } return ret; }; mint prod_pef = fact[K]; prod_pef *= fact_inv[N + K]; prod_pef /= mint(N).pow(K); mint ans = mint(0); for (ll i = 0; i <= N; i++){ mint subprd = comb(N, i); if ((N - i) % 2 == 1){ subprd *= mint(mod2 - 1); } subprd *= mint(i).pow(N + K); ans += subprd; } cout << (ans * prod_pef).val() << endl; }