mod = 1000000007
eps = 10**-9


def main():
    import sys
    input = sys.stdin.readline

    N, W = map(int, input().split())
    A = list(map(int, input().split()))

    ans = set()
    for i in range(1, 3 ** N):
        X = 0
        ii = 0
        for j in range(N):
            if i % 3 == 1:
                X += A[j]
                ii += (1 << j)
            elif i % 3 == 2:
                X += A[j] // 2
                ii += (1 << j)
            i //= 3
        if X == W:
            ans.add(ii)
    print(len(ans))


if __name__ == '__main__':
    main()