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 FOR(i, j, k) for(int i=(j); i<=(k); i++)
#define FFOR(i, j, k) for(int i=(j); i<(k); i++)
#define DFOR(i, j, k) for(int i=(j); i>=(k); i--)
#define bug(x) cerr<<#x<<" = "<<(x)<<'\n'
#define pb push_back
#define mp make_pair
#define bit(s, i) (((s)>>(i))&1LL)
#define mask(i) ((1LL<<(i)))
#define builtin_popcount __builtin_popcountll
#define __builtin_popcount __builtin_popcountll
using ll=long long; using ld=long double;
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count()); const ld pi=acos(0)*2;
template <typename T> inline void read(T &x){char c; bool nega=0; while((!isdigit(c=getchar()))&&(c!='-')); if(c=='-'){nega=1; c=getchar();} x=c-48; while(isdigit(c=getchar())) x=x*10+c-48; if(nega) x=-x;}
template <typename T> inline void writep(T x){if(x>9) writep(x/10); putchar(x%10+48);}
template <typename T> inline void write(T x){if(x<0){ putchar('-'); x=-x;} writep(x);}
template <typename T> inline void writeln(T x){write(x); putchar('\n');}
#define taskname "Hockey"
int n;
ll m;
ll a[40];
vector <ll> cost;
void backtrack(int u, ll c){
if(u==n||u==20){
cost.pb(c);
}
else{
backtrack(u+1, c);
if(c+a[u]<=m) backtrack(u+1, c+a[u]);
}
}
ll ans=0;
void backtrack2(int u, ll c){
if(u>=n){
ans+=upper_bound(cost.begin(), cost.end(), m-c)-cost.begin();
}
else{
backtrack2(u+1, c);
if(c+a[u]<=m) backtrack2(u+1, c+a[u]);
}
}
int main(){
#ifdef Aria
if(fopen(taskname".in", "r"))
freopen(taskname".in", "r", stdin);
#endif // Aria
read(n);
read(m);
FFOR(i, 0, n) read(a[i]);
backtrack(0, 0);
sort(cost.begin(), cost.end());
backtrack2(20, 0);
writeln(ans);
}
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