#int(input())
#map(int, input().split())
#list(map(int, input().split()))

N, k = map(int, input().split())
a = []
if k != 0:
    a = list(map(int, input().split()))
mod = 10 ** 9 + 7

m = 100
fac = [1] * (m + 1)
for i in range(1, m+1):
    fac[i] = (fac[i-1] * i) % mod

a = sorted(a)
if 0 not in a:
    a = [0] + a
if 2**N - 1 not in a:
    a.append(2**N-1)

f = 1
for i in range(len(a)-1):
    u = a[i] ^ a[i+1]
    if u + a[i] != a[i+1]:
        f = 0
        break

if f == 0:
    print(0)
    exit()

def popcount(a):
    b = format(a, "b")
    return b.count("1")

ans = 1
for i in range(len(a)-1):
    d = popcount(a[i+1]) - popcount(a[i])
    ans = (ans * fac[d]) % mod

print(ans)