N,W = map(int,input().split())
lsA = list(map(int,input().split()))
ans = 0
for i in range(1,2**N):
    lsA0 = []
    for k in range(N):
        if (i>>k) & 1:
            lsA0.append(lsA[k])
    N2 = len(lsA0)
    flag = False
    for j in range(2**N2):
        cost = 0
        for k in range(N2):
            if (j>>k) & 1:
                cost += lsA[k]//2
            else:
                cost += lsA[k]
        if cost == W:
            flag = True
    if flag:
        ans += 1

print(ans)