#include <atcoder/all>
using namespace std;
using mint = atcoder::modint998244353;

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n, m, v;
    cin >> n >> m;
    vector<int> dp(m + 1, 1 << 30);
    vector<mint> fact(m + 1), inv(m + 1);
    fact[0] = 1, dp[0] = 0;
    for(int i = 1; i <= m; i++)fact[i] = i * fact[i - 1];
    inv[m] = 1 / fact[m];
    for(int i = m; i >= 1; i--)inv[i - 1] = i * inv[i];
    for(int i = 0; i < n; i++){
        cin >> v;
        for(int j = 0; j + v <= m; j++) dp[j + v] = min(dp[j + v], dp[j] + 1);
    }
    mint ans;
    for(int i = 0; i <= m; i++){
        if(dp[i] >> 30 & 1)continue;
        int r = m - dp[i], c = i - dp[i];
        ans += fact[r] * inv[r - c] * inv[c];
    }
    cout << ans.val() << endl;
}