using System.Collections.Generic;
using System.Linq;
using static System.Math;
using System;

public class P
{
    public long sum { get; set; }
    public string x { get; set; }
}

public class Hello
{
    static void Main()
    {
        string[] line = Console.ReadLine().Trim().Split(' ');
        var n = int.Parse(line[0]);
        var w = long.Parse(line[1]);
        line = Console.ReadLine().Trim().Split(' ');
        var a = Array.ConvertAll(line, long.Parse);
        getAns(n, w, a);
    }
    static string change(string t)
    {
        var res = "";
        foreach (var x in t)
        {
            if (x == '2') res += "1";
            else res += x;
        }
        return res;
    }
    static long w0(int n, long[] a)
    {
        var c = a.Count(x => x == 0);
        return (long)Pow(2, c) - 1L;
    }
    static void getAns(int n, long w, long[] a)
    {
        if (w == 0) { Console.WriteLine(w0(n, a)); return; }
        var hs = new HashSet<string>();
        var q = new Queue<P>();
        q.Enqueue(new P { x = "2", sum = a[0] });
        q.Enqueue(new P { x = "1", sum = a[0] / 2L });
        q.Enqueue(new P { x = "0", sum = 0 });
        while (q.Count() > 0)
        {
            var t = q.Dequeue();
            var tn = t.x.Length;
            if (tn == n)
            {
                if (t.sum == w) hs.Add(change(t.x));
                continue;
            }
            if (t.sum + a[tn] <= w) q.Enqueue(new P { x = t.x + "2", sum = t.sum + a[tn] });
            if (t.sum + a[tn] / 2L <= w) q.Enqueue(new P { x = t.x + "1", sum = t.sum + a[tn] / 2L });
            q.Enqueue(new P { x = t.x + "0", sum = t.sum });
        }
        Console.WriteLine(hs.Count());
    }
}