import java.util.*;

public class Main {
    static final int MOD = 998244353;
	public static void main (String[] args) {
    	Scanner sc = new Scanner(System.in);
    	int n = sc.nextInt();
    	int k = sc.nextInt();
    	if (k > 10) {
    	    System.out.println(0);
    	    return;
    	}
    	int[] arr = new int[n + 1];
    	for (int i = 1; i <= n; i++) {
    	    arr[i] = sc.nextInt();
    	}
    	int[][] dp = new int[12][1 << 10];
    	dp[0][0] = 1;
    	for (int i = 1; i <= n; i++) {
    	    for (int l = (1 << 10) - 1; l >= 0; l--) {
    	        if ((l ^ arr[i]) == l + arr[i]) {
    	            for (int j = 1; j <= 10; j++) {
    	                dp[j][arr[i] + l] += dp[j - 1][l];
    	                dp[j][arr[i] + l] %= MOD;
    	            }
    	        } 
    	    }
    	}
    	int ans = 0;
    	for (int x : dp[k]) {
    	    ans += x;
    	    ans %= MOD;
    	}
    	System.out.println(ans);
    }
}