This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define endl "\n"
#define all(s) s.begin(),s.end()
typedef long long int ll;
vector<ll> v1,v2,v;
vector<ll>d1,d2;
ll n,m;
void solve(int idx,ll s,int t){
if(t==1) {
if(idx==(int)v1.size()) {
if(s<=m) d1.push_back(s);
return;
}
solve(idx+1,s+v1[idx],t);
solve(idx+1,s,t);
}
else{
if(idx==(int)v2.size()) {
if(s<=m) d2.push_back(s);
return;
}
solve(idx+1,s+v2[idx],t);
solve(idx+1,s,t);
}
}
/*
ll ans=0;
void solv(int idx,ll s){
if(idx==n) {
if(s<=m) {
ans++;
}
return;
}
solv(idx+1,s+v[idx]);
solv(idx+1,s);
}
*/
int main()
{
ios_base:: sync_with_stdio(false); cin.tie(0);
cin>>n>>m;
for(int i=1; i<=n; i++) {
ll a; cin>>a;
if(i&1) v1.push_back(a);
else v2.push_back(a);
}
solve(0,0,1);
solve(0,0,2);
int ans=0;
//solv(0,0);
/*
cout<<"one"<<endl;
for(int v:v1) {
cout<<v<<" ";
}
cout<<endl;
cout<<"two"<<endl;
for(int v:v2) {
cout<<v<<" ";
}
cout<<endl;
*/
sort(all(d1)); sort(all(d2));
//cout<<"set 1"<<endl;
for(ll v:d1) {
// cout<<v<<endl;
int l=0;
int r=(int)d2.size()-1;
int an=-1;
while(l<=r) {
int mid=(l+r)/2;
if(d2[mid]+v<=m) {
an=mid;
l=mid+1;
}
else{
r=mid-1;
}
}
an++;
//cout<<"max "<<an<<endl;
ans+=an;
}
cout<<ans<<endl;
/*
cout<<"set 2"<<endl;
for(int v:d2) {
cout<<v<<endl;
// auto it=lower_bound(all(d2),m-v);
//cout<<(distance(d2.begin(),it))<<endl;
}
*/
//cout<<ans<<endl;
return 0;
}
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