import sys
from collections import deque, Counter
input = lambda: sys.stdin.readline().rstrip()
ii = lambda: int(input())
mi = lambda: map(int, input().split())
li = lambda: list(mi())
inf = 2 ** 63 - 1
mod = 998244353
import random
n, m, k = mi()
a = li()
MAXI = k
valuetop = []
valuebottom = []
dptop = []
dpbottom = []

X = [0] * MAXI
X[0] = 1
dptop.append(X)
dpbottom.append(X)
def push(x):
    valuebottom.append(x)
    ndp = [0] * MAXI
    for v in range(MAXI):
        ndp[(v+x)%MAXI] += dpbottom[-1][v]
        ndp[v] += dpbottom[-1][v]
        ndp[(v+x)%MAXI] %= mod
        ndp[v] %= mod
    dpbottom.append(ndp)
def pop():
    if not valuetop:
        valuebottom.reverse()
        for x in valuebottom:
            ndp = [0] * MAXI
            for v in range(MAXI):
                ndp[(v+x)%MAXI] += dptop[-1][v]
                ndp[v] += dptop[-1][v]
                ndp[(v+x)%MAXI] %= mod
                ndp[v] %= mod
            dptop.append(ndp)
            valuetop.append(x)
        while valuebottom:
            valuebottom.pop()
        while len(dpbottom) > 1:
            dpbottom.pop()
    dptop.pop()
    valuetop.pop()
def fold():
    ans = 0
    for v in range(MAXI):
        ans += dptop[-1][v] * dpbottom[-1][(MAXI-v) % MAXI]
        ans %= mod
    return ans


for i in range(m):
    push(a[i])
ans = []
ans.append(fold())

for i in range(m, n):
    pop()
    push(a[i])
    ans.append(fold())

for v in ans:
    print((v-1) % mod)