from sys import stdin
n, w, *a = map(int, stdin.read().split())

ans = 0
pricetable = [0 for i in range(1<<n)]
for i in range(1<<n):
    kari = i
    price = 0
    for j in range(n):
        if kari & 1:
            price += a[j]
        kari = kari >> 1
    pricetable[i] = price

for i in range(1<<n):
    kari = i
    if pricetable[i] // 2 == w:
        ans += 1
        continue
    while kari:
        kari = (kari - 1) & i
        if pricetable[i] - (pricetable[kari] // 2) == w:
            ans += 1
            break

print("{}".format(ans))