#include <bits/stdc++.h>
using namespace std;
typedef signed long long ll;

#undef _P
#define _P(...) (void)printf(__VA_ARGS__)
#define FOR(x,to) for(x=0;x<to;x++)
#define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++)
#define ALL(a) (a.begin()),(a.end())
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
//-------------------------------------------------------

ll N,M;
ll A[55],dp[50005];
ll mo=1234567891LL;

void solve() {
	int i,j,k,l,r,x,y; string s;
	
	cin>>N>>M;
	FOR(i,N) cin>>A[i];
	
	dp[0]=1;
	while(M) {
		FOR(i,N) for(x=50000;x>=A[i];x--) (dp[x]+=dp[x-A[i]])%=mo;
		
		FOR(x,25001) dp[x]=dp[x*2+M%2];
		FOR(x,25001) dp[x+25000]=0;
		M/=2;
	}
	
	cout<<dp[0]<<endl;
}


int main(int argc,char** argv){
	string s;int i;
	if(argc==1) ios::sync_with_stdio(false);
	FOR(i,argc-1) s+=argv[i+1],s+='\n';
	FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin);
	solve(); return 0;
}