from itertools import *

n, w = map(int, input().split())
a = list(map(int, input().split()))
ans = 0

sequences = list(product([0, 0.5, 1], repeat=n))
used = set()
for seq in sequences:
    seq = list(seq)
    lis = []
    cost = 0
    for i in range(n):
        if seq[i] != 0:
            lis.append(i)
        cost += int(seq[i] * a[i])
    tup = tuple(lis)
    if tup in used:
        continue
    if cost == w:
        ans += 1
        used.add(tup)

print(ans)