from itertools import product


def main():
    N, W = map(int, input().split())
    a = list(map(int, input().split()))
    ctr = set()
    for bit_3 in product(range(3), repeat=N):
        tmp_sum = 0
        tmp_bit_n = 0
        for idx, (bit, v) in enumerate(zip(bit_3, a)):
            match bit:
                case 0:
                    pass
                case 1:
                    tmp_sum += v
                    tmp_bit_n += 2**idx
                case 2:
                    tmp_sum += v // 2
                    tmp_bit_n += 2**idx
        if tmp_sum == W:
            ctr.add(tmp_bit_n)
    print(len(ctr))


if __name__ == "__main__":
    main()