N,W = map(int,input().split())
a = list(map(int,input().split()))
ans = 0
score = 0
cnd_list = []
cnd = []

def dfs(x):
    
    global score,ans,cnd,cnd_list
    
    if score == W:
        cnd_list.append(tuple(cnd))
        ans += 1
    
    if x == N:
        return
    
    if score > W:
        return
    
    

    dfs(x+1)
    
    
    score += a[x]//2
    cnd.append(x)
    dfs(x+1)
    cnd.remove(x)
    score -= a[x]//2

    
    score += a[x]
    cnd.append(x)
    dfs(x+1)
    cnd.remove(x)
    score -= a[x]
    
    return
dfs(0)
ans = set(cnd_list)
if tuple() in ans:
    ans.remove(tuple())
print(len(ans))