#include <bits/stdc++.h>
//#include "atcoder/all"
typedef long long int ll;
using namespace std;
// using namespace atcoder;
#define MAXN 1024
#define mod 998244353
ll Pow(ll a, ll n) {
    if (n == 0) return 1;
    if (n % 2) return (a * Pow(a, n - 1)) % mod;
    else {
        ll k = Pow(a, n / 2);
        return (k * k) % mod;
    }
}
ll gyakusuu[MAXN + 1];
ll cnt[MAXN];
ll dp[MAXN][11];
int main() {
    for (int i = 1; i <= MAXN; i++) {
        gyakusuu[i] = Pow(i, mod - 2);
    }
    ll n, K;
    cin >> n >> K;
    for (int i = 0; i < n; i++) {
        ll a;
        cin >> a;
        cnt[a]++;
    }
    memset(dp, 0, sizeof(dp));
    dp[0][0] = 1;
    for (int i = 0; i < 1024; i++) {
        for (int j = 0; j < 1024; j++) {
            // p xor i = j とななるような p
            ll count = 1;
            ll p = 0;
            bool ok = true;
            ll i1 = i;
            ll j1 = j;
            for (int k = 1; k <= 10; k++) {
                if ((j1 % 2 == 0)&&(i1 % 2 == 1)) {
                    ok = false;
                }
                else if ((j1 % 2 == 1)&&(i1 % 2 == 0)) {
                    p += count;
                }
                count *= 2;
                i1 /= 2;
                j1 /= 2;
            }
            if (ok) {
                for (int k = 1; k <= 10; k++) {
                    dp[j][k] = (dp[j][k] + dp[i][k - 1] * cnt[p]) % mod;
                }
            }
        }
    }
    ll ret = 0;
    for (int i = 1; i <= 1023; i++) {
        ret = (ret + dp[i][K]) % mod;
    }
    for (int i = 1; i <= K; i++) {
        ret = ret * gyakusuu[i] % mod;
    }
    cout << ret << endl;
    return 0;
}