/* -*- coding: utf-8 -*-
 *
 * 1693.cc:  No.1693 Invasion - yukicoder
 */

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<iostream>
#include<string>
#include<vector>
#include<map>
#include<set>
#include<stack>
#include<list>
#include<queue>
#include<deque>
#include<algorithm>
#include<numeric>
#include<utility>
#include<complex>
#include<functional>
 
using namespace std;

/* constant */

const int MAX_N = 100;
const int MAX_M = 100000;
const int MOD = 998244353;
const int INF = 1 << 30;

/* typedef */

/* typedef */

template<const int MOD>
struct MI {
  int v;
  MI(): v() {}
  MI(int _v): v(_v % MOD) {}
  MI(long long _v): v(_v % MOD) {}

  MI operator+(const MI m) const { return MI((v + m.v) % MOD); }
  MI operator-(const MI m) const { return MI((v + MOD - m.v) % MOD); }
  MI operator*(const MI m) const { return MI((long long)v * m.v % MOD); }

  MI &operator+=(const MI m) { return (*this = *this + m); }
  MI &operator-=(const MI m) { return (*this = *this - m); }
  MI &operator*=(const MI m) { return (*this = *this * m); }

  MI pow(int n) const {  // a^n % MOD
    MI pm = 1, a = *this;
    while (n > 0) {
      if (n & 1) pm *= a;
      a *= a;
      n >>= 1;
    }
    return pm;
  }

  MI inv() const { return pow(MOD - 2); }
  MI operator/(const MI m) const { return *this * m.inv(); }
  MI &operator/=(const MI m) { return (*this = *this / m); }
};

typedef MI<MOD> mi;

/* global variables */

mi fs[MAX_M + 1], invfs[MAX_M + 1];
int as[MAX_N], dp[MAX_M + 1];

/* subroutines */

inline mi nck(int n, int k) {  // nCk % MOD
  return fs[n] * invfs[n - k] * invfs[k];
}

void prepare_fracs(int n) {
  fs[0] = invfs[0] = 1;
  for (int i = 1; i <= n; i++) {
    fs[i] = fs[i - 1] * i;
    invfs[i] = fs[i].inv();
  }
}

/* subroutines */

inline void setmin(int &a, int b) { if (a > b) a = b; }

/* main */

int main() {
  int n, m;
  scanf("%d%d", &n, &m);
  for (int i = 0; i < n; i++) scanf("%d", as + i);

  fill(dp, dp + m + 1, INF);
  dp[0] = 0;

  for (int i = 0; i < n; i++)
    for (int j = 0; j + as[i] <= m; j++)
      if (dp[j] < INF) setmin(dp[j + as[i]], dp[j] + 1);

  prepare_fracs(m);

  mi sum = 0;
  for (int i = 0; i <= m; i++)
    if (dp[i] < INF) sum += nck(m - dp[i], i - dp[i]);

  printf("%d\n", sum.v);
  return 0;
}