#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
#define int long long
int a[1<<20], Sum[1<<20];
signed main(){
int n1, M, n2, Ans = 0;
cin>>n1>>M;
n2 = n1 / 2, n1 -= n2;
vector<int> v1, v2;
for (int i=0;i<n1;i++)
cin>>a[1<<i];
for (int i=0;i<(1<<n1);i++){
if (i)
Sum[i] = Sum[i ^ (i & -i)] + a[i & -i];
v1.push_back(Sum[i]);
}
for (int i=0;i<n2;i++)
cin>>a[1<<i];
for (int i=0;i<(1<<n2);i++){
if (i)
Sum[i] = Sum[i ^ (i & -i)] + a[i & -i];
v2.push_back(Sum[i]);
}
sort(begin(v1), end(v1));
sort(begin(v2), end(v2));
for (int i=v1.size()-1, l=0;i>=0;i--){
while (v1[i] + v2[l] <= M)
l++;
Ans += l;
}
cout<<Ans<<'\n';
}
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