#include <bits/stdc++.h>
#define rep(i, l, r) for (int i = (l); i < (r); i++)
using namespace std;

typedef long long ll;

ll MOD = 998244353;
vector<ll> f(1e5 + 1, 1);

ll mod_pow(ll x, ll n, ll mod) {
    ll res = 1;
    while (n > 0) {
        if (n & 1) res = res * x % mod;
        x = x * x % mod;
        n >>= 1;
    }
    return res;
}

ll C(ll n, ll k) {
    ll ret = f[n] * mod_pow(f[k], MOD - 2, MOD) % MOD;
    ret = ret * mod_pow(f[n - k], MOD -2, MOD) % MOD;
    return ret;
}

int main() {
    ll ans = 0;
    int N, M;
    cin >> N >> M;
    rep(i, 0, M) f[i + 1] = f[i] * (i + 1) % MOD;
    vector<int> A(N);
    rep(i, 0, N) cin >> A[i];
    queue<pair<int, int>> q;
    vector<int> b(M + 1, 1e9); //x個選ぶのに最小でb(x)回必要;
    q.push(make_pair(0, 0));
    map<pair<int, int >, bool> done;
    while (!q.empty()) {
        int x = q.front().first, y = q.front().second;
        //cout << "(" << x << "," << y << ")";
        q.pop();
        b[y] = min(b[y], x);
        rep(i, 0, N) {
            if (y + A[i] <= M && !done[make_pair(x + 1, y + A[i])])  {
                q.push(make_pair(x + 1, y + A[i]));
                done[make_pair(x + 1, y + A[i])] = true;
            }
        }
    }
    rep(i, 0, M + 1) {
        //cout << i << " " << b[i] << endl;
        if (b[i] == 1e9) continue;
        ans += C(M - b[i], i - b[i]);
        ans %= MOD;
    }
    cout << ans << endl;
}