N, k = map(int, input().split())
MOD = 10 ** 9 + 7

fact = [1]

for i in range(1, N+1):
    fact.append(fact[-1] * i % MOD)

if k != 0:
    a = list(map(int, input().split()))
else:
    a = []
    
a.append(2**N - 1)
a.sort()
flag = [0] * N
ans = 1

for ai in a:
    cnt = 0
    b = format(ai, '0'+str(N)+'b')[::-1]

    for i in range(N):
        if b[i] == '1' and flag[i] == 0:
            cnt += 1
            flag[i] = 1
        elif b[i] == '0' and flag[i] == 1:
            print(0)
            exit()
    
    ans *= fact[cnt]
    ans %= MOD

print(ans)