N,M = map(int,input().split())
A = list(map(int,input().split()))

"""
from collections import defaultdict
d = defaultdict(int)
for a in A:
    d[a] += 1
"""
dat = [0] * (M + 1)
for a in A:
    dat[a] += 1
P = 998244353
era = [0] * (M + 1)
prime = []
for i in range(2,M + 1):
    if era[i] == 0:
        prime.append(i)
        for j in range(i,M + 1,i):
            era[j] = 1
for i in range(1,M + 1):
    tmp = 0
    for j in range(i,M + 1,i):
        tmp += dat[j]
    dat[i] = pow(2,tmp,P) - 1
#print(dat)
for p in prime:
    #q = M // p
    #for j in range(q * p,p - 1,-p):
    for j in range(p,M + 1,p):
        dat[j // p] -= dat[j]
        dat[j // p] %= P
for i in range(1,M + 1):
    print(dat[i])