package main

import (
	"fmt"
	"bufio"
	"os"
	"strings"
	"strconv"
	"sort"
)

type Cell struct {
	n int
	a []int
}

func newCell(n int, a []int) *Cell {
	cp := new(Cell)
	cp.n = n
	cp.a = a
	return cp
}

func toString(a []int) string {
	sort.Ints(a)
	var str_build strings.Builder
	for i := 0; i < len(a); i++ {
		str_build.WriteString(strconv.Itoa(a[i]) + ",")
	}
	return str_build.String()
}

func main() {
	r := bufio.NewReader(os.Stdin)
	w := bufio.NewWriter(os.Stdout)
	defer w.Flush()
	var N, W int
	fmt.Fscan(r, &N, &W)
	a := make([]int, N)
	for i := 0; i < N; i++ {
		fmt.Fscan(r, &a[i])
	}
	w0 := make([]*Cell, 1)
	w0[0] = newCell(0, make([]int, 0))
	for i := 0; i < N; i++ {
		w1 := make([]*Cell, 0)
		for _, wv := range w0 {
			w, v := wv.n, wv.a
			w1 = append(w1, newCell(w, v))
			if w + a[i] / 2 <= W {
				w1 = append(w1, newCell(w + a[i] / 2, append(v, i)))
			}
			if w + a[i] <= W {
				w1 = append(w1, newCell(w + a[i], append(v, i)))
			}			
		}
		w0 = w1
	}
	if W == 0 {
		w0 = w0[1:]
	}
	m := make(map[string]bool)
	for _, xy := range w0 {
		if xy.n == W {
			m[toString(xy.a)] = true
		}
	}
	fmt.Fprintln(w, len(m))
}