#include <bits/stdc++.h>
#define rep(i,a,b) for(int i=(a);i<=(b);++i)
#define per(i,a,b) for(int i=(a);i>=(b);--i)
#define pii pair<int,int>
#define vi vector<int>
#define fi first
#define se second
#define pb push_back
#define ALL(x) x.begin(),x.end()
#define sz(x) int(x.size())
#define ll long long
using namespace std;
const int N = 2e5 + 5,P = 1234567891;
int sum[105],a[105],n;
ll dp[N];
ll m;
void upd(ll &x,const ll y){x = (x + y) % P;}
int main(){
    cin.tie(0)->sync_with_stdio(0);
    cin >> n >> m;
    rep(i,1,n)cin >> a[i];
    rep(i,1,n)sum[i] = sum[i - 1] + a[i];
    dp[0] = 1;
    while(m){
        rep(i,sum[n],2 * sum[n] + 5)dp[i] = 0;
        rep(i,1,n)per(k,sum[n] + sum[i],a[i]){
            upd(dp[k],dp[k - a[i]]);
        }
        rep(k,0,sum[n])dp[k] = dp[2 * k + m % 2];
        m /= 2;
    }
    cout << dp[0] << endl;
    return 0;
}