#include <cassert>
#include <cmath>
#include <algorithm>
#include <iostream>
#include <iomanip>
#include <limits.h>
#include <map>
#include <queue>
#include <set>
#include <string.h>
#include <vector>

using namespace std;
typedef long long ll;
int N, W;
bool checked[1 << 13];

ll dfs(int i, int w, vector<int> &A, int mask) {
  if (w > W) return 0;
  if (w == W) {
    if (checked[mask]) {
      return 0;
    } else {
      checked[mask] = true;
      return 1;
    }
  }
  if (i == N) return 0;

  ll cnt = 0;

  cnt += dfs(i + 1, w, A, mask);
  cnt += dfs(i + 1, w + A[i], A, mask | (1 << i));
  cnt += dfs(i + 1, w + A[i] / 2, A, mask | (1 << i));

  return cnt;
}

int main() {
  memset(checked, false, sizeof(checked));
  cin >> N >> W;
  vector<int> A(N);

  for (int i = 0; i < N; ++i) {
    cin >> A[i];
  }

  int mask = 0;
  cout << dfs(0, 0, A, mask) << endl;

  return 0;
}