#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; 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; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } using mint = atcoder::modint998244353; ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } #define N_MAX 200002 mint inv[N_MAX],fac[N_MAX],finv[N_MAX]; void init(){ const ll MOD = mint::mod(); fac[0]=1;fac[1]=1; finv[0]=1;finv[1]=1; inv[1]=1; for(int i=2;i> n >> m; mint ans = (mint(m).pow(2*n) - mint(m-1).pow(2*n))*m; for(int x = 2; x <= m; x++){ int rem_v = m-x; int rem_e = n-(x-1); if(rem_e < 0 || rem_v < 0) continue; mint cb = comb(m, x)*comb(n, x-1); mint n_edge = mint(x).pow(x-2)*fac[x-1]*mint(2).pow(x-1); mint rem_edge = mint(rem_v).pow(rem_e*2); mint tmp = cb*n_edge*rem_edge; ans -= tmp; } cout << ans << endl; }