# https://yukicoder.me/problems/no/1554 MOD = 998244353 MAX_INT = 10 ** 18 class SegmentTree: """ 非再帰版セグメント木。 更新は「加法」、取得は「最大値」のもの限定。 """ def __init__(self, init_array): n = 1 while n < len(init_array): n *= 2 self.size = n self.array = [ [MAX_INT, (0, 1)] for _ in range(2 * self.size)] for i, a in enumerate(init_array): self.array[self.size + i][0] = i self.array[self.size + i][1] = a end_index = self.size start_index = end_index // 2 while start_index >= 1: for i in range(start_index, end_index): self._op(self.array[i], self.array[2 * i], self.array[2 * i + 1]) end_index = start_index start_index = end_index // 2 def _op(self, array, left, right): l = left[1] r = right[1] if l[0] * r[1] >= l[1] * r[0]: array[0] = left[0] array[1] = left[1] else: array[0] = right[0] array[1] = right[1] def set(self, x, a): index = self.size + x self.array[index][1] = a while index > 1: index //= 2 self._op(self.array[index], self.array[2 * index], self.array[2 * index + 1]) def get_max(self, l, r): L = self.size + l; R = self.size + r # 2. 区間[l, r)の最大値を求める s = [MAX_INT, (0, 1)] while L < R: if R & 1: R -= 1 self._op(s, s, self.array[R]) if L & 1: self._op(s, s, self.array[L]) L += 1 L >>= 1; R >>= 1 return s def solve(N, K, A): init_array = [(A[i], 1) for i in range(N)] seg_tree = SegmentTree(init_array) answer = 1 for _ in range(K): i, a = seg_tree.get_max(0, seg_tree.size) answer *= a[0] answer %= MOD answer *= pow(a[1], MOD - 2, MOD) answer %= MOD # 追加 seg_tree.set(i, (a[0], a[1] + 1)) # 計算 a_sum = sum(A) a_sum %= MOD a_sum_p = pow(a_sum, K, MOD) a_sum_p_inv = pow(a_sum_p, MOD - 2, MOD) answer *= a_sum_p_inv answer %= MOD for k in range(1, K + 1): answer *= k answer %= MOD return answer def main(): T = int(input()) answers = [] for _ in range(T): N, K = map(int, input().split()) A = list(map(int, input().split())) ans = solve(N, K, A) answers.append(ans) for ans in answers: print(ans) if __name__ == "__main__": main()