def popcount(n):
    cnt = 0
    while n:
        cnt += n & 1
        n >>= 1
    return cnt

N, K = map(int, input().split())
if K:
    A = list(map(int, input().split()))
else:
    A = []
mod = 10 ** 9 + 7
A.append((1 << N) - 1)
A.append(0)
A.sort()

M = 65
fact = [1] * M
for i in range(1, M):
    fact[i] = fact[i - 1] * i
    fact[i] %= mod

ans = 1
for i in range(K + 1):
    if A[i] | A[i + 1] != A[i + 1]:
        print(0)
        exit()
    ans *= fact[popcount(A[i] ^ A[i + 1])]
    ans %= mod

print(ans)