#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } using mint = atcoder::modint998244353; ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n, k; cin >> n >> k; map cnt; for(int i = 0; i < n; i++){ int x; cin >> x; if(cnt.count(x)) cnt[x]++; else cnt[x] = 1; } int sum = 0; vector ans = {mint(1)}; for(auto [x, c]: cnt){ auto dp = vec3d(c+1, sum+1, sum*c+1, mint(0)); dp[0][0][0] = 1; for(int i = 0; i < c; i++){ for(int j = 0; j <= sum; j++){ for(int k = 0; k <= sum*c; k++){ for(int l = j; l <= sum && k+l <= sum*c; l++){ dp[i+1][l][k+l] += dp[i][j][k]; } } } } vector u(sum*c+1); for(int j = 0; j <= sum; j++){ for(int k = 0; k <= sum*c; k++){ u[k] += dp[c][j][k]; } } ans = atcoder::convolution(ans, u); sum += c; } if(ans.size() <= k) cout << 0 << endl; else cout << ans[k] << endl; }