import java.io.*; import java.util.*; import java.util.stream.*; public class Main { public static void main(String[] args) throws Exception { Scanner sc = new Scanner(); int n = sc.nextInt(); int w = sc.nextInt(); long[] values = new long[n]; for (int i = 0; i < n; i++) { values[i] = sc.nextInt(); } long[] dp = new long[1 << n]; 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)] + values[j]; break; } } int ans = 0; for (int i = 0; i < (1 << n); i++) { if (dp[i] == w) { ans++; } for (int j = 0; j < n; j++) { if ((i & (1 << j)) > 0) { if (dp[i] - values[j] / 2 == w) { ans++; } } } } System.out.println(ans); } } class Utilities { static String arrayToLineString(Object[] arr) { return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n")); } static String arrayToLineString(int[] arr) { return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new)); } } class Scanner { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st = new StringTokenizer(""); StringBuilder sb = new StringBuilder(); public Scanner() throws Exception { } public int nextInt() throws Exception { return Integer.parseInt(next()); } public long nextLong() throws Exception { return Long.parseLong(next()); } public double nextDouble() throws Exception { return Double.parseDouble(next()); } public int[] nextIntArray() throws Exception { return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray(); } public String next() throws Exception { while (!st.hasMoreTokens()) { st = new StringTokenizer(br.readLine()); } return st.nextToken(); } }