def cmb(n, r, p): if (r < 0) or (n < r): return 0 r = min(r, n - r) return fac[n]*finv[r]*finv[n-r]%p def perm(n,r,p): if (r < 0) or (n < r): return 0 return fac[n]*finv[n-r]%p N = 2*pow(10,5) + 1000 MOD = 998244353 fac = [-1]*(N+1); fac[0] = 1; fac[1] = 1 #階乗 finv = [-1]*(N+1); finv[0] = 1; finv[1] = 1 #階乗の逆元 inv = [-1]*(N+1); inv[0] = 0; inv[1] = 1 #逆元 for i in range(2,N+1): fac[i] = fac[i-1]*i%MOD inv[i] = MOD - inv[MOD%i]*(MOD//i)%MOD finv[i] = finv[i-1]*inv[i]%MOD #print(cmb(5, 4, MOD)) def main(): T = int(input()) for _ in range(T): N,K = map(int,input().split()) A = list(map(int,input().split())) S = sum(A) A.sort(reverse=True) num = [0]*N nokori = K for i in range(N): num[i] += K*A[i]//S nokori -= num[i] #print(num) idx = 0 while nokori > 0: num[idx] += 1 nokori -= 1 idx += 1 #print("UP",num) def calc(A,B,mod=998244353): k = sum(B) #回数 s = sum(A) #全ての和 chi = 1 par = pow(s,k,mod) for i in range(len(A)): chi *= pow(A[i],B[i],mod)*cmb(k,B[i],mod) chi %= mod k -= B[i] #残りの回数が減る #print(chi,par) ret = chi*pow(par,mod-2,mod) ret %= mod return ret #for i in range(10): # for j in range(10): # for k in range(10): # for l in range(10): # num = [i,j,k,l,10-(i+j+k+l)] # ans = calc(A,num) # if ans == 484466660: # print(num) ans = calc(A,num) print(ans%MOD) if __name__ == '__main__': main()