import sys input = sys.stdin.buffer.readline MOD = 998244353 def prec_fact(n): fact = [1] * (n + 1) inv_fact = [1] * (n + 1) for i in range(2, n + 1): fact[i] = fact[i - 1] * i % MOD inv_fact[n] = pow(fact[n], MOD - 2, MOD) for i in range(n, 2, -1): inv_fact[i - 1] = inv_fact[i] * i % MOD return fact, inv_fact def main(): N, M = map(int, input().split()) K = list(map(int, input().split())) K_max = max(K) fact, inv_fact = prec_fact(N + K_max) acc = 1 for i in range(N - 1): acc = acc * (N + M - i) % MOD A = [0] * (K_max + 2) for j in range(K_max + 1): acc = acc * (M - j + 1) % MOD x = fact[N + j - 1] * inv_fact[N - 1] % MOD x = x * acc % MOD A[j] = x * inv_fact[N + j] % MOD M_inv = pow(M, MOD - 2, MOD) s2 = [0] B = [0] * (K_max + 1) for i in range(K_max + 1): nxs2 = [0] * (i + 2) nxs2[i] = 1 for k in range(1, i + 1): nxs2[k] = (s2[k - 1] + s2[k] * k) % MOD s2 = nxs2 acc = 0 x = sum(s2j * A[j] for j, s2j in enumerate(s2)) % MOD B[i] = x * pow(-M_inv, i, MOD) % MOD K_freq = [0] * (K_max + 1) for k in K: K_freq[k] += 1 ans = 0 acc = 1 for k, freq in enumerate(K_freq): if freq: for i in range(k + 1): x = freq * B[i] % MOD x = x * fact[k] % MOD x = x * inv_fact[k - i] % MOD x = x * inv_fact[i] % MOD x = x * acc % MOD ans += x acc = acc * M % MOD print(ans % MOD) if __name__ == "__main__": main()