def main():
    from math import sqrt,sin,cos,tan,ceil,radians,floor,gcd,exp,log,log10,log2,factorial,fsum
    from heapq import heapify, heappop, heappush
    from bisect import bisect_left, bisect_right
    from copy import deepcopy
    import copy
    import random
    from collections import deque,Counter,defaultdict
    from itertools import permutations,combinations
    from decimal import Decimal,ROUND_HALF_UP
    #tmp = Decimal(mid).quantize(Decimal('0'), rounding=ROUND_HALF_UP)
    from functools import lru_cache, reduce
    #@lru_cache(maxsize=None)
    from operator import add,sub,mul,xor,and_,or_,itemgetter
    INF = 10**18
    mod1 = 10**9+7
    mod2 = 998244353
    
    #DecimalならPython
    
    
    '''
    最終的な数だから、あり得る配置を列挙できれば良い
    使うコインの数は少ないほどよい
    dpでやる
    dp[何枚か] = 使う数
    
    '''
    
    #p = のところを変更すること。
    #limitationも必要なら変更
    def nCr(n, r, p):
        if (r < 0) or (n < r):
            return 0
        r = min(r, n - r)
        return fact[n] * factinv[r] * factinv[n-r] % p
    
    p = mod2
    limitation = 10 ** 6  # N は必要分だけ用意する
    fact = [1, 1]  # fact[n] = (n! mod p)
    factinv = [1, 1]  # factinv[n] = ((n!)^(-1) mod p)
    inv = [0, 1]  # factinv 計算用
    
    for i in range(2, limitation + 1):
        fact.append((fact[-1] * i) % p)
        inv.append((-inv[p % i] * (p // i)) % p)
        factinv.append((factinv[-1] * inv[-1]) % p)
    
    N,M = map(int, input().split())
    A = list(map(int, input().split()))
    
    dp = [INF]*(M+1)
    dp[0] = 0
    
    for i in range(N):
        for j in range(M):
            if dp[j] >= 0 and j+A[i] <= M:
                dp[j+A[i]] = min(dp[j+A[i]],dp[j]+1)
    
    ans = 0
    for i in range(1,M+1):
        if dp[i] >= 1:
            ans += nCr(M-dp[i],i-dp[i],mod2)
            ans %= mod2
    
    print(ans+1)
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
if __name__ == '__main__':
    main()