#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
#define ff first
#define ss second
#define all(s) s.begin(),s.end()
#define rall(s) s.rbegin(),s.rend()
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
ll n,m;
cin>>n>>m;
vector<ll>a(n),v[2];
for(ll i=0;i<n;i++){
cin>>a[i];
v[i%2].pb(a[i]);
}
vector<ll>u[2];
for(ll b=0;b<2;b++){
for(ll i=0;i<(1ll<<v[b].size());i++){
ll sum=0;
for(ll j=0;j<v[b].size();j++){
if(i&(1ll<<j)){
sum+=v[b][j];
}
}
u[b].pb(sum);
}
sort(all(u[b]));
}
ll ans=0,j=0;
for(ll i=u[0].size()-1;i>=0;i--){
while(j<u[1].size()&&u[0][i]+u[1][j]<=m){
j++;
}
ans+=j;
}
cout<<ans;
}
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