#include <bits/stdc++.h>
#define TASK "aksjdkasjd"
#define endl '\n'
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define BIT(i,x) (((i)>>(x))&1)
#define FOR(i,a,b) for(int i = (a); i<=(b); i++)
#define FORD(i,a,b) for(int i = (a); i>=(b); i--)
#define all(C) C.begin(), C.end()
using namespace std;
using ll = long long;
using pii = pair<int,int>;
const int INT_LIM = 2147483647;
const ll LL_LIM = 9223372036854775807;
template <typename X> bool minimize(X &x, const X &y) {if (x>y){x = y; return true;}return false;}
template <typename X> bool maximize(X &x, const X &y) {if (x<y){x = y; return true;}return false;}
///------------------------------------------///
int n;
ll m;
ll a[45];
void inp()
{
cin >> n >> m;
FOR(i, 1, n) cin >> a[i];
}
int c;
ll f[1<<20];
int findl(ll x)
{
int l = 0, r = (1<<c)-1, ret = -1;
while(l<=r)
{
int mid = (l+r)>>1;
if (f[mid]<=x)
{
ret = mid;
l = mid+1;
}
else r = mid-1;
}
return ret+1;
}
ll ans = 0;
void solve()
{
c = (n+1)/2;
FOR(mask, 0, (1<<c)-1)
{
FOR(i, 1, c) if (BIT(mask, i-1)) f[mask]+= a[i];
}
sort(f, f+(1<<c));
FOR(mask, 0, (1<<(n-c))-1)
{
ll sum = 0;
FOR(i, c+1, n) if (BIT(mask, i-(c+1))) sum+= a[i];
if (sum<=m)
{
ans+= findl(m-sum);
}
}
cout << ans << endl;
}
signed main()
{
///--------------------------///
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
if (fopen(TASK".INP","r")!=NULL)
{
freopen(TASK".INP","r",stdin);
freopen(TASK".OUT","w",stdout);
}
///--------------------------///
int NTEST = 1;
bool codeforces = 0;
if (codeforces) cin >> NTEST;
while (NTEST--)
{
inp();
solve();
}
return 0;
}
///------------------------------------------///
Compilation message (stderr)
bobek.cpp: In function 'int main()':
bobek.cpp:79:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
79 | freopen(TASK".INP","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
bobek.cpp:80:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
80 | freopen(TASK".OUT","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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