import java.io.PrintWriter
import java.util.*
import kotlin.math.*

fun PrintWriter.solve() {
    val n = nextInt()
    val w = nextLong()
    val a = Array(n) { nextLong() }
    var count = 0L
    for (bits in 0 until 1.shl(n)) {
        val choice = mutableListOf<Long>()
        for (i in 0 until n) {
            if (bits.shr(i) and 1 != 0) {
                choice.add(a[i])
            }
        }
        val l = choice.size
        if (l == 0) continue
        for (bits2 in 0 until 1.shl(l)) {
            var price = 0L
            for (j in 0 until l) {
                if (bits2.shr(j) and 1 != 0) {
                    price += choice[j]
                } else {
                    price += choice[j] / 2
                }
            }
            if (price == w) {
                count++
                break
            }
        }
    }
    println(count)
}

fun main() {
    Thread(null, {
        val writer = PrintWriter(System.out, false)
        writer.solve()
        writer.flush()
    }, "solve", 1.shl(26))
        .apply { setUncaughtExceptionHandler { _, e -> e.printStackTrace(); kotlin.system.exitProcess(1) } }
        .apply { start() }.join()
}

// region Scanner
private var st = StringTokenizer("")
private val br = System.`in`.bufferedReader()

fun next(): String {
    while (!st.hasMoreTokens()) st = StringTokenizer(br.readLine())
    return st.nextToken()
}

fun nextInt() = next().toInt()
fun nextLong() = next().toLong()
fun nextLine() = br.readLine()
fun nextDouble() = next().toDouble()
// endregion