import collections mod = 998244353 def fft_inplace(a, w): n = len(a) m = n t = 1 while m >= 2: mh = m >> 1 for i in range(0, n, m): for s in range(mh): j, k = i+s, i+mh+s a[j], a[k] = (a[j]+a[k]) % mod, (a[j]-a[k])*w[s*t] % mod m = mh t <<= 1 def ifft_inplace(a, w): n = len(a) m = 2 t = -(n >> 1) while m <= n: mh = m >> 1 for i in range(0, n, m): for s in range(mh): j, k = i+s, i+mh+s a[k] *= w[s*t] a[j], a[k] = (a[j]+a[k]) % mod, (a[j]-a[k]) % mod m <<= 1 t //= 2 n_inv = pow(n, mod-2, mod) for i in range(n): a[i] = a[i] * n_inv % mod def zero_pad(a, n): a.extend([0] * (n - len(a))) def zero_remove(a, n): for _ in range(len(a) - n): a.pop() def normal_convolution(a, b): n = max(len(a) + len(b) - 1, 1) c = [0] * n for idx1, i in enumerate(a): for idx2, j in enumerate(b): c[idx1 + idx2] += i * j return c def normal_convolution_mod(a, b): n = max(len(a) + len(b) - 1, 1) c = [0] * n for idx1, i in enumerate(a): for idx2, j in enumerate(b): c[idx1 + idx2] += i * j for i in range(n): c[i] %= mod return c class Fraction: def __init__(self, num, den): self.num = num self.den = den def __add__(self, other): a_num = self.num a_den = self.den b_num = other.num b_den = other.den n2 = max(len(a_num) + len(b_num) - 1, 1) if n2 < 128: c_num = [(i + j ) % mod for i,j in zip(normal_convolution(a_num, b_den), normal_convolution(b_num, a_den))] c_den = normal_convolution_mod(a_den, b_den) else: n = 1 << (n2-1).bit_length() zero_pad(a_num, n) zero_pad(a_den, n) zero_pad(b_num, n) zero_pad(b_den, n) w_root = pow(3, (mod-1)//n, mod) w = [1] * n for i in range(1, n): w[i] = w[i-1] * w_root % mod fft_inplace(a_num, w) fft_inplace(a_den, w) fft_inplace(b_num, w) fft_inplace(b_den, w) c_num = [(a * d + b * c) % mod for a, b, c, d in zip(a_num, a_den, b_num, b_den)] c_den = [a * b % mod for a, b in zip(a_den, b_den)] ifft_inplace(c_num, w) ifft_inplace(c_den, w) zero_remove(c_num, n) zero_remove(c_den, n) return Fraction(c_num, c_den) n, s = map(int, input().split()) s_inv = pow(s, mod-2, mod) p = [i * s_inv % mod for i in map(int, input().split())] fractions = collections.deque( Fraction([0, i ** 2 % mod], [1, i]) for i in p ) while len(fractions) > 1: fractions.append(fractions.popleft() + fractions.popleft()) ans = 0 factorial = 2 for i in range(1, n + 1): ans += fractions[0].num[i] * factorial % mod factorial = factorial * (i + 2) % mod ans %= mod print(ans)