#include <stdio.h>
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using mint = modint;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000000000000000

template <class T>
vector<T> convolution_mint(vector<T> a,vector<T> b){
	
	static constexpr unsigned long long M0 = 998244353;
	static constexpr unsigned long long M1 = 754974721;
	static constexpr unsigned long long M2 = 469762049;
	
	vector<long long> aa(a.size()),bb(b.size());
	rep(i,a.size())aa[i] = a[i].val();
	rep(i,b.size())bb[i] = b[i].val();
	
	auto c0 = convolution<M0>(aa,bb);
	auto c1 = convolution<M1>(aa,bb);
	auto c2 = convolution<M2>(aa,bb);
	
	vector<mint> ret(c0.size());
	vector<long long> m = {M0,M1,M2};
	rep(i,c0.size()){		
		
		ret[i] += c0[i];
		
		{
			long long cur = c0[i];
			cur %= M1;
			cur = c1[i]-cur;
			if(cur<0)cur += M1;
			cur *= 416537774;
			cur %= M1;
			
			mint m = M0;
			ret[i] += m*cur;
			
			cur *= M0;
			cur += c0[i];
			cur %= M2;
			cur = c2[i] - cur;
			if(cur<0)cur += M2;
			cur *= 429847628;
			cur %= M2;
			m *= M1;
			ret[i] += m * cur;
		}
	}
	
	return ret;
}

int main(){
	
	mint::set_mod(1234567891);
	
	int n;
	cin>>n;
	
	long long m;
	cin>>m;
	
	vector<int> a(n);
	rep(i,n)cin>>a[i];
	
	vector<mint> dp(25005,0);
	dp[0] = 1;
	
	rep(i,n){
		vector<mint> ndp(25005,0);
		rep(j,dp.size()){
			if(dp[j]==0)continue;
			ndp[j] += dp[j];
			
			ndp[j+a[i]] += dp[j];
		}
		swap(dp,ndp);
	}
	
	vector<mint> ddp(25005,0);
	ddp[0] = 1;
	
	while(m!=0){
		vector<mint> ndp = convolution_mint(dp,ddp);
		vector<mint> temp(25005,0);
		rep(i,ndp.size()){
			if(i%2!=m%2)continue;
			temp[i>>1] = ndp[i];
		}
		swap(temp,ddp);
		m>>=1;
	}
	
	cout<<ddp[0].val()<<endl;
	
	return 0;
}