#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<ll> VL;
typedef vector<VL> VVL;
typedef pair<int, int> PII;

#define FOR(i, a, n) for (int i = (int)a; i < (int)n; ++i)
#define REP(i, n) FOR(i, 0, n)
#define ALL(x) x.begin(), x.end()
#define MOD 1000000007
#define INF 1000000000
#define PI 3.14159265359
#define EPS 1e-12

ll fact[70];

int main(void)
{
  int n, k;
  cin >> n >> k;
  ll a[70];
  REP(i, k) cin >> a[i];

  //sort(a, a+k);
  ll before = 0;
  REP(i, k) {
    if((a[i] & before) != before) {cout << "0" << endl; return 0;}
    before = a[i];
  }

  fact[0] = 1;
  FOR(i, 1, 70) {
    fact[i] = (fact[i-1] * i) % MOD;
    //cout << fact[i] << " ";
  }

  int count = 0;
  ll ans = 1;
  before = 0;
  REP(i, k) {
    count = __builtin_popcountll(before ^ a[i]);
    ans = (ans * fact[count]) % MOD;
    before = a[i];
    //cout << a[i] << " " << ans << " " << count << " " << fact[count] << endl;
  }
  count = n - __builtin_popcountll(before);
  //cout << ans << " " << count << " " << fact[count] << endl;
  ans = (ans * fact[count]) % MOD;

  cout << ans << endl;

  return 0;
}