N,W = map(int,input().split())
lsA = list(map(int,input().split()))
vals = set()
for i in range(N):
    lsA0 = lsA[:]
    lsA0[i] = lsA0[i]//2
    for j in range(2**N):
        cost = 0
        for k in range(N):
            if (j>>k) & 1:
                cost += lsA0[k]
        if cost == W:
            vals.add(j)
for j in range(2**N):
    cost = 0
    for k in range(N):
        if (j>>k) & 1:
            cost += lsA[k]
    if cost == W:
        vals.add(j)
print(len(vals))