n,s=map(int,input().split())
a=list(map(int,input().split()))

def calc(m,b):
  dp=[0]
  for i in b:
    dp_new=[]
    tmp=1
    while i**tmp<=s:
      for j in dp:
        if j+i**tmp<=s:
          dp_new.append(j+i**tmp)
      tmp+=1
    dp=dp_new
  dp.sort()
  dp2=[]
  for i in dp:
    if len(dp2)==0:
      dp2.append([i,1])
    elif dp2[-1][0]==i:
      dp2[-1][1]+=1
    else:
      dp2.append([i,1])
  
  cum=[]
  tmp=0
  for i,j in dp2:
    tmp+=j
    cum.append([i,tmp])
  return dp2,cum

n1=n//2
n2=n-n1
dp,_=calc(n1,a[:n1])
_,cum=calc(n2,a[n1:])
cum=cum[::-1]
m1=len(dp)
m2=len(cum)
ans=0
now=0
for i in range(m1):
  while now<m2 and dp[i][0]+cum[now][0]>s:
    now+=1
  if now!=m2:
    ans+=dp[i][1]*cum[now][1]

print(ans)