/* -*- coding: utf-8 -*-
 *
 * 1701.cc:  No.1701 half price - yukicoder
 */

#include<cstdio>
 
using namespace std;

/* constant */

const int MAX_N = 13;
const int NBITS = 1 << MAX_N;

/* typedef */

typedef long long ll;

/* global variables */

int as[MAX_N];
ll bss[NBITS];

/* subroutines */

/* main */

int main() {
  int n, w;
  scanf("%d%d", &n, &w);
  for (int i = 0; i < n; i++) scanf("%d", as + i);

  int nbits = 1 << n;

  for (int bits = 1, msb = 1, msi = 0; bits < nbits; bits++) {
    if ((msb << 1) <= bits) msb <<= 1, msi++;
    bss[bits] = bss[bits ^ msb] + as[msi];
  }

  int cnt = 0;

  for (int bits = 1; bits < nbits; bits++) {
    bool found = false;
    for (int bits0 = bits;; bits0 = (bits0 - 1) & bits) {
      ll sum = bss[bits0] / 2 + bss[bits ^ bits0];
      if (sum == w) { found = true; break; }
      if (bits0 == 0) break;
    }

    if (found) cnt++;
  }

  printf("%d\n", cnt);
  return 0;
}