def popcount(x):
    ret = 0
    while (x):
        x = x ^ (-x & x)
        ret += 1
    return ret

MOD = 10**9+7
[n,k] = map(int,input().split(' '))
if k > 0:
    a = list(map(int,input().split(' ')))
else:
    a = []
fact = [1 for i in range(n+1)]
for i in range(1,n+1):
    fact[i] = fact[i-1] * i % MOD
a.extend([0,(1<<n)-1])
a.sort()
ans = 1
for i in range(len(a)-1):
    if (a[i]^a[i+1])|a[i+1] != a[i+1]:
        ans *= 0
    else:
        ans = ans * fact[popcount(a[i]^a[i+1])] % MOD
print(ans)