#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 1000000000000000000LL
struct combi{
	deque<mint> kaijou;
	deque<mint> kaijou_;
	
	combi(int n){
		kaijou.push_back(1);
		for(int i=1;i<=n;i++){
			kaijou.push_back(kaijou[i-1]*i);
		}
		
		mint b=kaijou[n].inv();
		
		kaijou_.push_front(b);
		for(int i=1;i<=n;i++){
			int k=n+1-i;
			kaijou_.push_front(kaijou_[0]*k);
		}
	}
	
	mint combination(int n,int r){
		if(r>n)return 0;
		mint a = kaijou[n]*kaijou_[r];
		a *= kaijou_[n-r];
		return a;
	}
	
	mint junretsu(int a,int b){
		mint x = kaijou_[a]*kaijou_[b];
		x *= kaijou[a+b];
		return x;
	}
	
	mint catalan(int n){
		return combination(2*n,n)/(n+1);
	}
	
};
combi C(2000000);
mint get(vector<long long> a,int N){

	sort(a.begin(),a.end());
	vector<long long> cnt(N+1);
	for(int i=1;i<=N;i++){
		cnt[i] = distance(lower_bound(a.begin(),a.end(),i),a.end());
	}

	vector dp(N+1,vector<mint>(N+1,0));
	dp[0][0] = 1;
	for(int i=N;i>=1;i--){
		for(int j=N;j>=0;j--){
			rep(k,N+1){
				if(k*i>N)break;
				int rem = cnt[i] - k;
				if(rem<0)break;
				for(int l=1;l<=N;l++){
					if(rem<l)break;
					if(k+l>N)break;
					if(j+l*i>N)break;
					mint v = dp[j][k];
					v *= C.combination(rem,l);
					v *= C.kaijou_[i].pow(l);
					v *= C.kaijou[i*l];
					v *= C.combination(N-j, i*l);
					dp[j+l*i][k+l] += v;
				}
			}
		}
		
	}
	mint ret = 0;
	rep(i,N+1){
		ret += dp[N][i];
	}
	return ret;
}

int main(){
	
	int N,K;
	cin>>N>>K;
	vector<long long> aa(N);
	rep(i,N){
		cin>>aa[i];
	}
	//cout<<get(a,K).val()<<endl;
	//return 0;
	map<int,int> cnt;
	for(int i=1;i<=K;i++){
		int g = gcd(i,K);
		cnt[K/g]++;
	}
	mint ans = 0;
	for(auto a:cnt){
		vector<long long> b = aa;
		rep(i,N){
			b[i] /= a.first;
		}
		mint ret = get(b,K/a.first);
		ret *= a.second;
		ans += ret;
	}
	ans /= K;
	cout<<ans.val()<<endl;
	return 0;
}