package yukicoder;

import java.util.*;

public class Q462 {

	final static long MODULO = 1_000_000_000 + 7;

	public static void main(String[] args) {
		long[] fac = new long[100];
		long[] invfac = new long[100];
		fac[0] = 1;
		for (int i = 1; i < 100; ++i) {
			fac[i] = fac[i - 1] * i % MODULO;
		}
		invfac[99] = pow(fac[99], MODULO - 2);
		for (int i = 98; i >= 0; --i) {
			invfac[i] = invfac[i + 1] * (i + 1) % MODULO;
		}

		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int k = sc.nextInt();
		if (k == 0) {
			System.out.println(fac[n] % MODULO);
			return;
		}
		long[] a = new long[k];
		long[] diff = new long[k + 1];
		for (int i = 0; i < k; ++i) {
			a[i] = sc.nextLong();
		}
		for (int i = 0; i + 1 < k; ++i) {
			diff[i + 1] = count(a[i], a[i + 1]);
			if (diff[i + 1] < 0) {
				System.out.println(0);
				return;
			}
		}
		diff[0] = count(0, a[0]);
		diff[k] = count(a[k - 1], (1L << n) - 1);
		long ans = 1;
		for (int i = 0; i < k + 1; ++i) {
			ans = (ans * fac[(int) diff[i]]) % MODULO;
		}
		System.out.println(ans);

	}

	static long count(long min, long max) {
		for (int i = 0; i < 63; ++i) {
			if ((min & (1L << i)) > 0 && (max & (1L << i)) == 0) {
				return -1;
			}
		}
		int diff = Long.bitCount(max) - Long.bitCount(min);
		return diff;
	}

	static void tr(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}

	static long pow(long a, long n) {
		long ret = 1;
		for (; n > 0; n >>= 1, a = (a * a) % MODULO) {
			if (n % 2 == 1) {
				ret = (ret * a) % MODULO;
			}
		}
		return ret;
	}
}