#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) #define rrep(i,n) for(int i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(int i=(a); i<(b); i++) #define RFOR(i,a,b) for(int i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; ll s; in(n,s); vector a(n); in(a); int h = n/2; map mp1[h+1], mp2[n-h+1]; mp1[0][0] = 1; mp2[0][0] = 1; rep(i,h){ for(auto [val,cnt] : mp1[i]){ ll now = a[i]; while(now+val <= s){ mp1[i+1][now+val] += cnt; now *= a[i]; } } } rep(i,n-h){ for(auto [val,cnt] : mp2[i]){ ll now = a[i+h]; while(now+val <= s){ mp2[i+1][now+val] += cnt; now *= a[i+h]; } } } ll ans = 0; vector v1(mp1[h].size()), c1(mp1[h].size()); vector v2(mp2[n-h].size()), c2(1+mp2[n-h].size()); int idx = 0; for(auto [val,cnt] : mp1[h]){ v1[idx] = val; c1[idx] = cnt; idx++; } idx = 0; for(auto [val,cnt] : mp2[n-h]){ v2[idx] = val; c2[idx+1] = cnt; idx++; } rep(i,mp2[n-h].size()) c2[i+1] += c2[i]; rep(i,mp1[h].size()){ int idx = upper_bound(ALL(v2), s-v1[i]) - v2.begin(); ans += c1[i] * c2[idx]; } out(ans); }