import java.io.*; import java.util.*; public class Main { public static void main(String[] args) throws Exception { Scanner sc = new Scanner(); int n = sc.nextInt(); int w = sc.nextInt(); int[] size = new int[n]; for (int i = 0; i < n; i++) { size[i] = sc.nextInt(); } long[] dp = new long[1 << n]; int count = 0; for (int i = 1; i < (1 << n); i++) { for (int j = 0; j < n; j++) { if ((i & (1 << j)) == 0) { continue; } dp[i] = dp[i ^ (1 << j)] + size[j]; break; } if (dp[i] < w) { continue; } boolean flag = (dp[i] == w); for (int j = i; j > 0 && !flag; j = (j - 1) & i) { flag = (dp[i] - dp[j] / 2 == w); } if (flag) { count++; } } System.out.println(count); } } class Scanner { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st = new StringTokenizer(""); public Scanner() throws Exception { } public int nextInt() throws Exception { return Integer.parseInt(next()); } public long nextLong() throws Exception { return Long.parseLong(next()); } public String next() throws Exception { if (!st.hasMoreTokens()) { st = new StringTokenizer(br.readLine()); } return st.nextToken(); } }