import math

def read_data():
    N, k = map(int, input().split())
    if k == 0:
        As = []
    else:
        As = list(map(int, input().split()))
    return N, k, As

def solve(N, k, As):
    mod = 10**9 + 7
    ones = (1 << N) - 1
    if k == 0:
        return math.factorial(N) % mod
    As.sort()
    if As[-1] != ones:
        As.append(ones)
    counts = 1
    v = 0
    for a in As:
        if v & a != v:
            return 0
        dif = bin(a - v).count('1')
        counts *= (math.factorial(dif) % mod)
        counts %= mod
        v = a
    return counts

N, k, As = read_data()
print(solve(N, k, As))