import sys

sys.setrecursionlimit(200005)
int1 = lambda x: int(x)-1
p2D = lambda x: print(*x, sep="\n")
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
dij = [(0, 1), (1, 0), (0, -1), (-1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
inf = 10**19
# md = 998244353
md = 10**9+7

n, w = LI()
aa = LI()

def dfs(i=0, s=0, t=0):
    if t > w: return set()
    if i == n:
        if t == w: return set([s])
        return set()
    res = set()
    res |= dfs(i+1, s, t)
    res |= dfs(i+1, s | 1 << i, t+aa[i])
    res |= dfs(i+1, s | 1 << i, t+aa[i]//2)
    return res

ret = dfs()
if 0 in ret: ret.remove(0)
print(len(ret))