#include "bits/stdc++.h" #include "atcoder/all" using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } mint subdp[101][101][5005]; void calc() { subdp[0][0][0] = 1; rep(i, 101)rep(j, 101)rep(k, 5001) { if ((j >= 1) && (k >= i))subdp[i][j][k] += subdp[i][j - 1][k - i]; if (i >= 1)subdp[i][j][k] += subdp[i - 1][j][k]; } } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, k; cin >> n >> k; mapmp; rep(i, n) { int a; cin >> a; mp[a]++; } vectorva; for (auto p : mp) va.push_back(p.second); vector> dp(va.size() + 1, vector(5000, 0)); dp[0][0] = 1; int sum = 0; calc(); rep(i, va.size()) { rep(j, 5000) { rep(k, sum*va[i] + 1) { if (j + k >= 5000)continue; dp[i + 1][j + k] += dp[i][j] * subdp[sum][va[i]][k]; } } sum += va[i]; } cout << dp[va.size()][k].val() << endl; return 0; }