#include <bits/stdc++.h>
#include <atcoder/modint>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
//using mint = modint1000000007;
using ll = long long;
using ld = long double;
using pll = pair<ll, ll>;
using tlll = tuple<ll, ll, ll>;
constexpr ll INF = 1LL << 60;
template<class T> bool chmin(T& a, T b) {if (a > b) {a = b; return true;} return false;}
template<class T> bool chmax(T& a, T b) {if (a < b) {a = b; return true;} return false;}
ll safemod(ll A, ll M) {return (A % M + M) % M;}
ll divfloor(ll A, ll B) {if (B < 0) {return divfloor(-A, -B);} return (A - safemod(A, B)) / B;}
ll divceil(ll A, ll B) {if (B < 0) {return divceil(-A, -B);} return divfloor(A + B - 1, B);}
#define FINALANS(A) do {cout << (A) << '\n'; exit(0);} while (false)

class mintcombination
{
public:
  vector<mint> fac, finv, inv;

  mintcombination(ll M)
  {
    fac.resize(M + 1);
    finv.resize(M + 1);
    inv.resize(M + 1);

    fac.at(0) = 1, finv.at(0) = 1;
    fac.at(1) = 1, finv.at(1) = 1, inv.at(1) = 1;

    for (ll i = 2; i <= M; i++)
    {
      fac.at(i) = fac.at(i - 1) * i;
      inv.at(i) = mint::mod() - inv.at(mint::mod() % i) * (mint::mod() / i);
      finv.at(i) = finv.at(i - 1) * inv.at(i);
    }
  }

  mint P(ll N, ll K)
  {
    if (N < K) return 0;
    if (N < 0 || K < 0) return 0;
    return fac.at(N) * finv.at(N - K);
  }

  mint C(ll N, ll K)
  {
    if (N < K) return 0;
    if (N < 0 || K < 0) return 0;
    return fac.at(N) * finv.at(K) * finv.at(N - K);
  }

  mint H(ll N, ll K)
  {
    return C(N + K - 1, K);
  }
};

int main()
{
  ll N, M;
  cin >> N >> M;
  vector<ll> A(N);
  for (ll i = 0; i < N; i++)
  {
    cin >> A.at(i);
  }

  vector dp(N + 1, vector(M + 1, INF));
  for (ll i = 0; i < N + 1; i++)
  {
    dp.at(i).at(0) = 0;
  }
  for (ll i = 0; i < N; i++)
  {
    for (ll j = 0; j <= M; j++)
    {
      if (j < A.at(i))
        dp.at(i + 1).at(j) = dp.at(i).at(j);
      else
        dp.at(i + 1).at(j) = min(dp.at(i + 1).at(j - A.at(i)) + 1, dp.at(i).at(j));
    }
  }

  mintcombination com(M + 10);

  mint ans = 0;
  for (ll j = 0; j <= M; j++)
  {
    ll k = dp.at(N).at(j);
    mint tmp = com.C(M - k, j - k);
    ans += tmp;
  }
  cout << ans.val() << endl;
}