//g++ 2.cpp -std=c++14 -O2 -I . #include <bits/stdc++.h> using namespace std; #include <atcoder/all> using namespace atcoder; using ll = long long; using ld = long double; using vi = vector<int>; using vvi = vector<vi>; using vll = vector<ll>; using vvll = vector<vll>; using vld = vector<ld>; using vvld = vector<vld>; using vst = vector<string>; using vvst = vector<vst>; #define fi first #define se second #define pb push_back #define pq_big(T) priority_queue<T,vector<T>,less<T>> #define pq_small(T) priority_queue<T,vector<T>,greater<T>> #define all(a) a.begin(),a.end() #define rep(i,start,end) for(ll i=start;i<(ll)(end);i++) #define per(i,start,end) for(ll i=start;i>=(ll)(end);i--) #define uniq(a) sort(all(a));a.erase(unique(all(a)),a.end()) // size pi/sx+1 (pi/s)^2x using P = tuple<int,vll,vll>; constexpr ll mod = 998244353; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int n; ll s; cin>>n>>s; ll inv_s=pow_mod(s,mod-2,mod); pq_small(P) que; rep(i,0,n){ ll p; cin>>p; p*=inv_s; p%=mod; que.push({1,{1,p},{0,(p*p)%mod}}); } while(que.size()>1){ auto [sz1,A,B]=que.top(); que.pop(); auto [sz2,a,b]=que.top(); que.pop(); vll x=convolution(A,a); vll y=convolution(A,b); vll z=convolution(B,a); rep(i,0,z.size()){ if(i<y.size()){ y[i]+=z[i]; y[i]%=mod; } else{ y.emplace_back(z[i]); } } que.push({sz1+sz2,x,y}); } auto [sz,q,r]=que.top(); ll ans=0; ll fractal=2; rep(i,1,r.size()){ ans+=r[i]*fractal; ans%=mod; fractal*=i+2; fractal%=mod; } cout<<ans<<endl; }