package main

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

type Cell struct {
	n int
	s string
}

func newCell(n int, s string) *Cell {
	cp := new(Cell)
	cp.n = n
	cp.s = s
	return cp
}

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, "")
	for i := 0; i < N; i++ {
		w1 := make([]*Cell, 0)
		for _, wv := range w0 {
			w, v := wv.n, wv.s
			w1 = append(w1, newCell(w, v))
			if w + a[i] / 2 <= W {
				w1 = append(w1, newCell(w + a[i] / 2, v + strconv.Itoa(i) + ","))
			}
			if w + a[i] <= W {
				w1 = append(w1, newCell(w + a[i], v + strconv.Itoa(i) + ","))
			}			
		}
		w0 = w1
	}
	if W == 0 {
		w0 = w0[1:]
	}

	m := make(map[string]bool)
	for _, xy := range w0 {
		if xy.n == W {
			m[xy.s] = true
		}
	}
	fmt.Fprintln(w, len(m))
}