#include<bits/stdc++.h>
namespace {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wunused-function"
#include<atcoder/all>
#pragma GCC diagnostic pop
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--)
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; }
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;

} int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, s;
  cin >> n >> s;
  VI a1{0}, a2{0};
  rep(_, n) {
    int x;
    cin >> x;
    int sz = a1.size();
    VI tmp;
    for(int xk = 1; (ll)xk * x <= s;) {
      xk *= x;
      rep(i, sz) if ((ll)xk + a1[i] <= s) tmp.emplace_back(xk + a1[i]);
    }
    sort(all(tmp));
    a1 = move(tmp);
    swap(a1, a2);
  }
  ll ans = 0;
  for(int x: a1) {
    int mx = s - x;
    ans += upper_bound(all(a2), mx) - a2.begin();
  }
  cout << ans << '\n';
}