#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; const ll MOD = 998244353; class ModInt{ public: ll v; ModInt(ll _v = 0){ if(_v < 0) _v = (v%MOD)+MOD; if(_v >= MOD) _v %= MOD; v = _v; } ModInt operator+(ll n){ return ModInt((v+n)%MOD); } ModInt operator-(ll n){ return ModInt((v-n+MOD)%MOD); } ModInt operator*(ll n){ if(n >= MOD) n %= MOD; return ModInt((v*n)%MOD); } ModInt operator/(ll n){ return ModInt((ModInt(n).inv()*v).v%MOD); } void operator+=(ll n){ v = (v+n)%MOD; } void operator-=(ll n){ v = (v-n+MOD)%MOD; } void operator*=(ll n){ if(n >= MOD) n %= MOD; v = (v*n+MOD)%MOD; } ModInt operator+(ModInt n){ return ModInt((v+n.v)%MOD); } ModInt operator-(ModInt n){ return ModInt((v-n.v+MOD)%MOD); } ModInt operator*(ModInt n){ return ModInt((v*n.v)%MOD); } ModInt operator/(ModInt n){ return ModInt((n.inv()*v).v%MOD); } void operator+=(ModInt n){ v = (v+n.v)%MOD; } void operator-=(ModInt n){ v = (v-n.v+MOD)%MOD; } void operator*=(ModInt n){ v = (v*n.v)%MOD; } void operator=(ModInt n){ v = n.v; } bool operator==(ModInt n){ return v == n.v; } bool operator!=(ModInt n){ return v != n.v; } void operator=(ll n){ v = n%MOD; } ModInt inv(){ if(v == 1) return ModInt(1); else return ModInt(MOD-ModInt(MOD%v).inv().v*(MOD/v)%MOD); } }; ostream& operator<<(ostream& os, const ModInt& m){ os << m.v; return os; } istream & operator >> (istream &in, ModInt &m){ in >> m.v; return in; } ModInt pow(ModInt a, ll n) { assert(n >= 0); ModInt ans = 1; ModInt tmp = a; for (int i = 0; i <= 60; i++) { ll m = (ll)1 << i; if (m & n) { ans *= tmp; } tmp *= tmp; } return ans; } template class frac{ public: T n, d; frac(T _n, T _d){ T g = gcd(_n, _d); n = _n/g; d = _d/g; if(d < 0) { d *= -1; n *= -1; } } frac(){ n = 1; d = 1; } frac operator+(frac f){ return frac(n*f.d+d*f.n, f.d*d); } frac operator-(frac f){ return frac(n*f.d-d*f.n, f.d*d); } frac operator*(frac f){ return frac(f.n*n, f.d*d); } frac inv(){ return frac(d, n); } bool operator<(frac f){ if(d*f.d < 0) return n*f.d-d*f.n > 0; else return n*f.d-d*f.n < 0; } bool operator>(frac f){ if(d*f.d < 0) return n*f.d-d*f.n < 0; else return n*f.d-d*f.n > 0; } bool operator==(frac f){ return n*f.d-d*f.n == 0; } void operator+=(frac f){ n = n*f.d+d*f.n, d = f.d*d; reduction(); } void operator-=(frac f){ n = n*f.d-d*f.n, d = f.d*d; reduction(); } void reduction(){ T g = gcd(n, d); n /= g, d /= g; } }; template bool operator<(const frac f1, const frac f2){ if(f1.d*f2.d < 0) return f1.n*f2.d-f1.d*f2.n > 0; else return f1.n*f2.d-f1.d*f2.n < 0; } template bool operator>(const frac f1, const frac f2){ if(f1.d*f2.d < 0) return f1.n*f2.d-f1.d*f2.n > 0; else return f1.n*f2.d-f1.d*f2.n > 0; } template bool operator==(const frac f1, const frac f2){ return f1.n*f2.d-f1.d*f2.n == 0; } using mint = ModInt; using F = frac; using Pfi = pair; void solve(){ int n, k; cin >> n >> k; vector a(n); for(int i = 0; i < n; i++) cin >> a[i]; ll sum = accumulate(a.begin(), a.end(), 0); vector p(n); for(int i = 0; i < n; i++) p[i] = F(a[i], sum); mint ans = 1; for(int i = 1; i <= k; i++) ans *= i; priority_queue que; vector cur(n, 1); for(int i = 0; i < n; i++){ que.push(Pfi(p[i], i)); } while(k--){ auto [p, i] = que.top(); que.pop(); ans *= p.n; ans = ans/p.d; cur[i]++; que.push(Pfi(F(a[i], sum*cur[i]), i)); } cout << ans << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int t; cin >> t; while(t--) solve(); }