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

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var c = NList;
        var (n, w) = (c[0], c[1]);
        var a = NList;
        var trimax = (int)Math.Pow(3, n);
        var set = new HashSet<int>();
        for (var t = 0; t < trimax; ++t)
        {
            var tmp = t;
            var sum = 0L;
            var bit = 0;
            for (var i = 0; i < n; ++i)
            {
                bit <<= 1;
                if (tmp % 3 == 1)
                {
                    sum += a[i];
                    ++bit;
                }
                else if (tmp % 3 == 2)
                {
                    sum += a[i] / 2;
                    ++bit;
                }
                tmp /= 3;
            }
            if (sum == w) set.Add(bit);
        }
        WriteLine(set.Count);
    }
}