#include<bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int,int>
#define ff first
#define ss second
#define pb push_back
#define vi vector<int>
#define fr(i,ii,iii) for(int i=ii;i<iii;i++)
const int N=42;
int n,m;
int a[N];
vi v[2];
signed main(){
ios_base::sync_with_stdio(NULL);cin.tie(NULL);
cin>>n>>m;
fr(i,0,n)cin>>a[i];
fr(mask,0,(1<<(n/2))){
int s=0;
fr(i,0,n/2){
if(mask&(1<<i))s+=a[i];
}
if(s<=m)v[0].pb(s);
}
reverse(a,a+n);
fr(mask,0,(1<<((n+1)/2))){
int s=0;
fr(i,0,(n+1)/2){
if(mask&(1<<i))s+=a[i];
}
if(s<=m)v[1].pb(s);
}
sort(v[0].begin(),v[0].end());
sort(v[1].begin(),v[1].end());
reverse(v[1].begin(),v[1].end());
int j=0,ans=0;
for(auto i:v[0]){
while(j<v[1].size() and (v[1][j]+i)>m)j++;
ans+=v[1].size()-j;
}
cout<<ans;
}
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