#ifdef NACHIA #define _GLIBCXX_DEBUG #else #define NDEBUG #endif #include #include #include #include #include #include #include #include #include using namespace std; using i64 = long long; using u64 = unsigned long long; #define rep(i,n) for(i64 i=0; i<(i64)(n); i++) #define repr(i,n) for(i64 i=(i64)(n)-1; i>=0; i--) const i64 INF = 1001001001001001001; const char* yn(bool x){ return x ? "Yes" : "No"; } template void chmin(A& l, const A& r){ if(r < l) l = r; } template void chmax(A& l, const A& r){ if(l < r) l = r; } template using nega_queue = priority_queue,greater>; using Modint = atcoder::static_modint<998244353>; //#include "nachia/vec.hpp" void testcase(){ int K; cin >> K; int N = 500; vector powK(N+1); rep(i,N+1) powK[i] = Modint(i).pow(K); vector Fact(N+1); Fact[0] = 1; for(int i=1; i<=N; i++) Fact[i] = Fact[i-1] * Modint::raw(i); vector InvFactSq(N+1); InvFactSq[N] = (Fact[N] * Fact[N]).inv(); for(int i=N; i>=1; i--) InvFactSq[i-1] = InvFactSq[i] * Modint::raw(i) * Modint::raw(i); vector ans(N+1); for(int a=1; a*3<=N; a++) for(int b=a; a+b+b<=N; b++) for(int c=b; a+b+c<=N; c++){ int n = a + b + c; Modint q = Modint(c-b+1) * Modint(b-a+1) * Modint(c-a+2); Modint x = InvFactSq[a] * InvFactSq[b+1] * InvFactSq[c+2] * Fact[n] * Fact[n] * q * q; ans[n] += powK[c] * x; } cout << N << '\n'; rep(i,N){ if(i) cout << ' '; cout << ans[i+1].val(); } cout << '\n'; } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); #ifdef NACHIA int T; cin >> T; for(int t=0; t