def convolve(a, b): def fft(f): d = n // 2 v = w while d >= 1: u = 1 for i in range(d): for j in range(i, n, 2*d): f[j], f[j+d] = (f[j] + f[j+d]) % p, u * (f[j] - f[j+d]) % p u = u * v % p v = v * v % p d //= 2 def ifft(f): d = 1 while d < n: v = pow(invw, n // (2 * d), p) u = 1 for i in range(d): for j in range(i, n, 2*d): f[j+d] *= u f[j], f[j+d] = (f[j] + f[j+d]) % p, (f[j] - f[j+d]) % p u = u * v % p d *= 2 p, g = 998244353, 3 n0, n1 = len(a), len(b) n = 1 << (max(n0, n1) - 1).bit_length() + 1 a = a + [0] * (n-n0) b = b + [0] * (n-n1) w = pow(g, (p - 1) // n, p) invw = pow(w, p-2, p) fft(a), fft(b) for i in range(n): a[i] = a[i] * b[i] % p ifft(a) invn = pow(n, p - 2, p) return [a[i] * invn % p for i in range(n0 + n1 - 1)] N, Q = map(int, input().split()) P = 998244353 A = [[1] for _ in range(N)] + [[(int(a) - 1) % P, 1] for a in input().split()] for i in range(N)[::-1]: if i == N - 1 or i and 1 << i.bit_length() - 1 == i: if i == N - 1: c = 2 else: c *= 2 A[i] = convolve(A[2*i], A[2*i+1]) for a in [int(a) for a in input().split()]: print(A[1][a])