package yukicoder;

import java.util.*;

public class Q462 {

	final static long MODULO = 1_000_000_000 + 7;

	public static void main(String[] args) {

		long[][] dp = new long[100][100];
		dp[0][0] = 1;
		for (int i = 1; i < 100; ++i) {
			for (int j = 0; j <= i; ++j) {
				if (j > 0)
					dp[i][j] = dp[i - 1][j - 1] * j % MODULO;
				if (j <= i - 1)
					dp[i][j] += dp[i - 1][j] * (j + 1) % MODULO;
				dp[i][j] %= MODULO;
			}
		}
		long[][] dp3 = new long[100][100];
		dp3[1][0] = 1;
		for (int i = 2; i < 100; ++i) {
			for (int j = 0; j <= i; ++j) {
				if (j > 0)
					dp3[i][j] = dp3[i - 1][j - 1] * j % MODULO;
				if (j <= i - 1) {
					dp3[i][j] += (dp3[i - 1][j] * j + dp[i - 1][j]) % MODULO;
				}
				dp3[i][j] %= MODULO;
			}
		}
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int k = sc.nextInt();
		if (k == 0) {
			System.out.println(dp[n][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) {
			if (i == k) {
				if (a[k - 1] != (1L << n) - 1)
					ans = (ans * dp[(int) diff[i]][(int) diff[i]]) % MODULO;
			} else if (i == 0 && a[0] == 0) {
				continue;
			} else {
				ans = (ans * dp3[(int) diff[i]][(int) diff[i] - 1]) % MODULO;
			}
		}
		System.out.println(ans);

	}

	static long count(long min, long max) {
		for (int i = 0; i < 60; ++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));
	}
}