import bisect
import copy
import decimal
import fractions
import functools
import heapq
import itertools
import math
import random
import sys
from collections import Counter,deque,defaultdict
from functools import lru_cache,reduce
from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max
def _heappush_max(heap,item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappushpop_max(heap, item):
    if heap and item < heap[0]:
        item, heap[0] = heap[0], item
        heapq._siftup_max(heap, 0)
    return item
from math import gcd as GCD
read=sys.stdin.read
readline=sys.stdin.readline
readlines=sys.stdin.readlines

N,W=map(int,readline().split())
A=list(map(int,readline().split()))
ans=0
for bit in range(1<<N):
    lst=[A[i] for i in range(N) if bit>>i&1]
    l=len(lst)
    for bit in range(1<<l):
        price=[]
        for i in range(l):
            if bit>>i&1:
                price.append(lst[i]//2)
            else:
                price.append(lst[i])
        if sum(price)==W:
            ans+=1
            break
print(ans)