#include "bits/stdc++.h" #include "atcoder/all" using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } struct dat { int idx, a, x; bool operator< (const dat &right)const { return a * (right.x + 1) < right.a * (x + 1); } }; mint calc(vector&a, vector&x, int &k) { mint ans = 1; rep(i, k)ans *= i + 1; rep(i, a.size()) { mint sub = 1; rep(j, x[i]) sub *= j + 1; ans *= sub.inv(); } rep(i, a.size()) ans *= pow_mod(a[i], x[i], mod); { int sum = 0; rep(i, a.size()) sum += a[i]; int pw = pow_mod(sum, k, mod); ans *= ((mint)pw).inv(); } return ans; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t; cin >> t; while (t--) { int n, k; cin >> n >> k; vectora(n), x(n); rep(i, n)cin >> a[i]; priority_queue pq; rep(i, n)pq.push(dat{ i,a[i],x[i] }); rep(i, k) { auto p = pq.top(); pq.pop(); x[p.idx]++; pq.push({ p.idx,a[p.idx],x[p.idx] }); } cout << calc(a, x, k).val() << endl; } return 0; }