import sys

int1 = lambda x: int(x) - 1

# input = lambda: sys.stdin.buffer.readline()
input = lambda: sys.stdin.readline().rstrip()
ii = lambda: int(input())
i1 = lambda: int1(input())
mi = lambda: map(int, input().split())
mi1 = lambda: map(int1, input().split())
li = lambda: list(mi())
li1 = lambda: list(mi1())
lli = lambda n: [li() for _ in range(n)]

INF = float("inf")
# mod = int(1e9 + 7)
mod = 998244353

n, m = mi()
c = [0] * (m + 1)
for a in li():
    c[a] += 1

p2 = [1] * (n + 1)
for i in range(n):
    p2[i + 1] = p2[i] * 2 % mod

f = [0] * (m + 1)
for a in range(1, m + 1)[::-1]:
    cnt = c[a]
    for b in range(a * 2, m + 1, a):
        cnt += c[b]
    f[a] = p2[cnt] - 1
    for b in range(a * 2, m + 1, a):
        f[a] -= f[b]
    f[a] %= mod
for x in f[1:]:
    print(x)