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

ans = 0
for b in range(1<<N):
    s = 0
    for k in range(N):
        if b&(1<<k):
            s += A[k]
    if s== W:
        ans += 1
    i = b
    while i>0:
        j = b - i
        s = 0
        for k in range(N):
            if i&(1<<k):
                s += A[k]
            if j&(1<<k):
                s += A[k] // 2
        i = (i-1) & b
        if s == W:
            ans += 1
print(ans)