#include<iostream> #include<vector> #include<algorithm> using namespace std; using ll = long long; #include<atcoder/modint> using mint = atcoder::modint998244353; void solve(){ ll n,k; cin>>n>>k; vector<ll> a(n); for(int i = 0;i<n;i++) cin>>a[i]; ll sum = 0; for(int i = 0;i<n;i++) sum += a[i]; vector<ll> use(n),res(n); for(int i = 0;i<n;i++) { use[i] = (a[i]*k) / sum; res[i] = (a[i]*k) % sum; } vector<int> idx(n); for(int i = 0;i<n;i++) idx[i] = i; sort(idx.begin(),idx.end(),[&](int i,int j){ return a[i] > a[j]; }); ll now = 0; for(int i = 0;i<n;i++) now += use[i]; now = k - now; for(int i = 0;i<now;i++){ int ni = idx[i]; use[ni]++; } mint ans = 1; ll all = k; vector<mint> fac(k+1,0); fac[0] = 1; for(int i = 1;i<=k;i++) fac[i] = fac[i-1] * i; for(int i = 0;i<n;i++){ mint tmp = fac[all] * (fac[all-use[i]].inv()) * (fac[use[i]].inv()); mint p = mint(a[i]) * (mint(sum).inv()); p = p.pow(use[i]); tmp *= p; ans *= tmp; all -= use[i]; } cout<<ans.val()<<endl; return; for(int i = 0;i<n;i++) cout<<use[i]<<" "; cout<<endl; } int main(){ cin.tie(nullptr); ios::sync_with_stdio(false); int t; cin>>t; while(t--){ solve(); } }