#include <bits/stdc++.h>
using namespace std;
vector<int>v,b;
int x[50];
int m;
void rec(int x[], int n, int i, int sum){
if(i==n){
if(sum<=m)v.push_back(sum);
return;
}
rec(x,n,i+1,sum+x[i]);
rec(x,n,i+1,sum);
}
void re(int x[], int n, int i, int sum){
if(i==n){
if(sum<=m)b.push_back(sum);
return;
}
re(x,n,i+1,sum+x[i]);
re(x,n,i+1,sum);
}
int main(){
int n;
cin>>n>>m;
for(int i=0; i<n; i++){
cin>>x[i];
}
rec(x,n/2,0,0);
re(x,n,n/2,0);
sort(v.begin(),v.end());
sort(b.begin(),b.end());
long long bati=0;
for(int i=0; i<v.size(); i++){
int ans;
if(i>0){
if(v[i]+b[ans]<=m){
bati+=ans+1;
continue;
}
}
ans=0;
int l=0,r=b.size()-1;
while(l<=r){
int mid=(l+r)/2;
if(b[mid]+v[i]<=m){
l=mid+1;
ans=mid;
}
else{
r=mid-1;
}
}
bati+=ans+1;
}
cout<<bati<<endl;
}
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