n, w = map(int, input().split())
A =list(map(int, input().split()))
ans = 0
import itertools
used = set()
for p in itertools.product(range(3), repeat=n):
    s = 0
    t = 0
    for j in range(n):
        if p[j] == 0:
            continue
        elif p[j] == 1:
            s += A[j]
            t |= (1<<j)
        else:
            s += A[j]//2
            t |= (1<<j)
    if t == 0:
        continue
    if s == w and t not in used:
        ans += 1
        used.add(t)
print(ans)