from itertools import combinations
N,W = map(int,input().split())
A = list(map(int,input().split()))
ans = 0
for i in range(1,N + 1):
    for J in combinations(range(N),i):
        sumj = 0
        for k in J:
            sumj += A[k]
        if sumj == W:
            ans += 1
            continue
        for k in range(1, i + 1):
            f = False
            for J2 in combinations(J, k):
                sumj2 = 0
                for k2 in J2:
                    sumj2 += A[k2]
                if sumj - sumj2//2 == W:
                    ans += 1
                    f = True
                    break
            if f:
                break

print(ans)