mod = 998244353
eps = 10**-9
inf = 10 ** 9


def main():
    import sys
    input = sys.stdin.readline

    # comb init
    nmax = 10 ** 5 + 10  # change here
    fac = [0] * nmax
    finv = [0] * nmax
    inv = [0] * nmax
    fac[0] = 1
    fac[1] = 1
    finv[0] = 1
    finv[1] = 1
    inv[1] = 1
    for i in range(2, nmax):
        fac[i] = fac[i - 1] * i % mod
        inv[i] = mod - inv[mod % i] * (mod // i) % mod
        finv[i] = finv[i - 1] * inv[i] % mod

    def comb(n, r):
        if n < r:
            return 0
        else:
            return (fac[n] * ((finv[r] * finv[n - r]) % mod)) % mod

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

    dp = [inf] * (M+1)
    dp[0] = 0
    for i in range(M):
        for a in A:
            if i + a <= M:
                dp[i+a] = min(dp[i+a], dp[i] + 1)

    ans = 0
    for i in range(M+1):
        if dp[i] != inf:
            ans = (ans + comb(M - dp[i], i - dp[i]))%mod
    print(ans)


if __name__ == '__main__':
    main()