#include #include #include using namespace atcoder; using mint = modint998244353; using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf32 1000000001 #define Inf64 1000000000000000001 struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; combi C(400005); int main(){ int N,K; cin>>N>>K; vector a(N); rep(i,N)cin>>a[i]; sort(a.begin(),a.end()); vector cnt(N+1,0); cnt[0] = C.kaijou[N]; cnt[0] *= N; for(int i=1;i<=N;i++){ if(K*2<=N){ int rem = N - K*2; if(rem >= i){ mint tt = N - K*2 + 1; tt *= C.combination(rem,i); cnt[i] += tt; } } int l = N - K*2 + 1; int r = N - K - 1; if(r<0)continue; l = max({l,0,i}); if(l<=r){ l -= i; r -= i; mint tt = C.junretsu(i+1,r); if(l!=0)tt -= C.junretsu(i+1,l-1); cnt[i] += tt*2; if(i==1){ //cout<