#include #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; #define N_MAX 200002 mint fac[N_MAX]; void init(){ fac[0]=1;fac[1]=1; for(int i=2;i calc(vector> v){ if(v.size() == 1) return v[0]; int n = v.size(); vector> vl, vr; for(int i = 0; i < n; i++){ if(i*2 < n) vl.push_back(v[i]); else vr.push_back(v[i]); } return atcoder::convolution(calc(vl), calc(vr)); } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; init(); int n, s; cin >> n >> s; mint s_inv = mint(s).inv(); vector p(n); vector> v(n); for(int i = 0; i < n; i++){ int x; cin >> x; p[i] = s_inv*x; v[i] = {mint(1), p[i]}; } auto u = calc(v); // print_vector(u); mint ans = 0; for(int k = 1; k <= n; k++){ mint tmp = u[k]; if(k != n) tmp -= u[k+1]*(k+1); tmp *= fac[k]; ans += tmp*(k+1); // cout << k << ':' << tmp << endl; } cout << ans.val() << endl; }