p, g = 998244353, 3
invg = pow(g, p-2, p)
W = [pow(g, (p - 1) >> i, p) for i in range(24)]
iW = [pow(invg, (p - 1) >> i, p) for i in range(24)]
 
def fft(k, f):
    for l in range(k)[::-1]:
        d = 1 << l
        u = 1
        for i in range(d):
            for j in range(i, 1 << k, 2*d):
                f[j], f[j+d] = (f[j] + f[j+d]) % p, u * (f[j] - f[j+d]) % p
            u = u * W[l+1] % p
 
def ifft(k, f):
    for l in range(k):
        d = 1 << l
        u = 1
        for i in range(d):
            for j in range(i, 1 << k, 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 * iW[l+1] % p
 
def convolve(a, b):
    n0, n1 = len(a), len(b)
    k = (max(n0, n1) - 1).bit_length() + 1
    n = 1 << k
    a = a + [0] * (n-n0)
    b = b + [0] * (n-n1)
    fft(k, a), fft(k, b)
    for i in range(n):
        a[i] = a[i] * b[i] % p
    ifft(k, a)
    invn = pow(n, p - 2, p)
    return [a[i] * invn % p for i in range(n0 + n1 - 1)]

from collections import deque
def conv_all(l):
    # 分割統治
    q = deque(l)
    while len(q)>=2:
        a = q.popleft()
        b = q.popleft()
        q.append(convolve(a,b))
    return q[0]

n,q=map(int,input().split())
a=list(map(int,input().split()))
FFT=conv_all([[(i-1)%p,1] for i in a])
for i in list(map(int,input().split())):
  print(FFT[i])