import sys
input = sys.stdin.readline
#input = sys.stdin.buffer.readline
import itertools

def main():
    N,W = map(int,input().split())
    A = list(map(int,input().split()))
    sgn = [0,1,2]
    ans = set([])
    Flag = True
    for L in itertools.product(sgn,repeat=N):
        if Flag: #最初は空集合
            Flag = False
            continue
        #print(L)
        temp = 0
        used = []
        for i,x in enumerate(L):
            if x == 1:
                temp += A[i]
                used.append(i)
            if x == 2:
                temp += A[i]//2
                used.append(i)
        if temp == W:
            used.sort()
            tused = tuple(used)
            ans.add(tused)
    #print(ans)
    print(len(ans))



if __name__ == '__main__':
    main()