import sys import numpy as np read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines MOD = 998244353 def fft_convolve(f, g, MOD=MOD): """ 数列 (多項式) f, g の畳み込みの計算.上下 15 bitずつ分けて計算することで, 30 bit以下の整数,長さ 250000 程度の数列での計算が正確に行える. """ fft = np.fft.rfft ifft = np.fft.irfft Lf = len(f) Lg = len(g) L = Lf + Lg - 1 fft_len = 1 << L.bit_length() fl = f & (1 << 15) - 1 fh = f >> 15 gl = g & (1 << 15) - 1 gh = g >> 15 def conv(f, g): return ifft(fft(f, fft_len) * fft(g, fft_len))[:L] x = conv(fl, gl) % MOD y = conv(fl + fh, gl + gh) % MOD z = conv(fh, gh) % MOD a, b, c = map(lambda x: (x + .5).astype(np.int64), [x, y, z]) return (a + ((b - a - c) << 15) + (c << 30)) % MOD def convolve_all(polys): while len(polys) >= 2: N = len(polys) for i in range(1, N, 2): polys[i-1] = fft_convolve(polys[i-1], polys[i]) polys = polys[::2] return polys[0] N, Q = map(int, readline().split()) A = map(int, readline().split()) polys = [None] * N for i, x in enumerate(A): x %= MOD polys[i] = np.array([x-1, 1], np.int64) P = convolve_all(polys) for q in map(int, read().split()): print(P[q])