MOD = 998244353
N = 10000
fact = [0 for _ in range(N)]
invfact = [0 for _ in range(N)]
fact[0] = 1
for i in range(1, N):
    fact[i] = fact[i - 1] * i % MOD

invfact[N - 1] = pow(fact[N - 1], MOD - 2, MOD)

for i in range(N - 2, -1, -1):
    invfact[i] = invfact[i + 1] * (i + 1) % MOD

def nCk(n, k):
    if k < 0 or n < k:
        return 0
    else:
        return (fact[n] * invfact[k] % MOD) * invfact[n - k] % MOD

def nHk(n, k):
    return nCk(n + k - 1, k)

n, l = map(int, input().split())
A = list(map(int, input().split()))
ans = [0] * n

for i in range(n):
    if i != n - 1 and A[i] < l - A[i + 1]:
        continue
    cnt = 0
    for j in range(i - 1, -1, -1):
        if A[i] >= l - A[j]:
            cnt += 1
        else:
            break
    for c in range(cnt + 1):
        ans[i - c] += nCk(cnt, c)
        ans[i - c] %= MOD
        
for i in range(n):
    if i != 0 and A[i - 1] >= l - A[i]:
        continue
    cnt = 0
    for j in range(i + 1, n):
        if A[j] < l - A[i]:
            cnt += 1
        else:
            break
    for c in range(cnt + 1):
        ans[i + c] += nCk(cnt, c)
        ans[i + c] %= MOD
        
print(*ans, sep="\n")