from collections import defaultdict mod = 1234567891 N,M = map(int,input().split()) A = list(map(int,input().split())) dp = defaultdict(int) dp[0] = 1 for bit in range(60): nbit = 2**bit for i in range(N): add = (nbit * A[i]) keys = list(dp.keys()) keys.sort() keys.reverse() ndp = defaultdict(int) for k in keys: ndp[k] = (ndp[k] + dp[k]) % mod ndp[k+add] = (ndp[k+add] + dp[k]) % mod dp = ndp ndp = defaultdict(int) for k in dp: if k % nbit == M % nbit and k <= M: ndp[k] = dp[k] dp = ndp # print (dp) print (dp[M])