N,W = map(int,input().split())
a = list(map(int,input().split()))
ans = 0
score = 0
cnd_list = []
cnd = []
flg = 0
def dfs(x):
    
    global score,ans,cnd,cnd_list,flg
    
    if score == W:
        cnd_list.append(tuple(cnd))
        ans += 1
    
    if x == N:
        return
    
    if score > W:
        return
    
    

    dfs(x+1)
    if flg == 0:
        flg = 1
        score += a[x]//2
        cnd.append((x,1))
        dfs(x+1)
        cnd.remove((x,1))
        score -= a[x]//2
        flg = 0
    
    score += a[x]
    cnd.append((x,0))
    dfs(x+1)
    cnd.remove((x,0))
    score -= a[x]
    
    return
dfs(0)
print(len(set(cnd_list)))