import sys
input = sys.stdin.readline
from collections import deque

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

mod=998244353

DP=[-1]*(M+1)
DP[M]=0

Q=deque([(0,M)])

while Q:
    x,y=Q.popleft()

    for i in A[:y]:
        if y-i>=0 and DP[y-i]==-1:
            DP[y-i]=x+1
            Q.append((x+1,y-i))
            
FACT=[1]
for i in range(1,2*10**5+1):
    FACT.append(FACT[-1]*i%mod)

FACT_INV=[pow(FACT[-1],mod-2,mod)]
for i in range(2*10**5,0,-1):
    FACT_INV.append(FACT_INV[-1]*i%mod)

FACT_INV.reverse()

def Combi(a,b):
    if 0<=b<=a:
        return FACT[a]*FACT_INV[b]%mod*FACT_INV[a-b]%mod
    else:
        return 0

ANS=1
for i in range(1,M+1):
    x=DP[i]
    if x==-1:
        continue
    #print(M-x,i-x)
    ANS+=Combi(M-x,i)
    ANS%=mod

print(ANS)