n,w = map(int,input().split())
a = list(map(int,input().split()))
ans = 0
for i in range(1 << n):
#     l = [0]
    l = []
    for j in range(n):
        if i & (1 << j):
            l.append(a[j])
    nn = len(l)

#     for x in range(nn):
#         res = 0
#         for y in range(nn):
#             if y == x:
#                 res += l[y] // 2
#             else:
#                 res += l[y]
#         if res == w:
#              ans += 1

    for x in range(1 << nn):
        res = 0
        for y in range(nn):
            if x & (1 << y):
                res += l[y]
            else:
                res += l[y] // 2
        if res == w:
            ans += 1
            break
print(ans)