from collections import defaultdict

N, M = map(int, input().split())
A = [int(x) for x in input().split()]
mod = 1234567891

# dpi: i円払う方法の数
dp = defaultdict(int)
dp[0] = 1

for x in range(10):
    # 各硬貨を、2**x 枚 使うか使わないか選ぶ

    for i in range(N):
        ndp = defaultdict(int)
        for m in dp:
            ndp[m + A[i] * 2 ** x] = (ndp[m + A[i] * 2 ** x] + dp[m]) % mod
            ndp[m] = (ndp[m] + dp[m]) % mod
        dp = ndp
    
    # 2**(x + 1)で割ったあまりがMと一致しないものは不要
    keys = list(dp.keys())
    for m in keys:
        if m % (2 ** (x + 1)) != M % (2 ** (x + 1)):
            dp.pop(m)

print(dp[M])