#pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("avx2") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i,n) for (int i=0;i using vec = vector; #define all(x) (x).begin(), (x).end() template ostream& operator<<(ostream& os, const vector& A){ os << "["; rep(i,A.size()){ os << A[i]; if (i!=A.size()-1){ os << ", "; } } os << "]" ; return os; } template ostream& operator<<(ostream& os, const deque& A){ os << "deque{["; rep(i,A.size()){ os << A[i]; if (i!=A.size()-1){ os << ", "; } } os << "]}" ; return os; } template ostream& operator<<(ostream& os, const pair& A){ os << "("; os << A.first ; os << ", "; os << A.second; os << ")"; return os; } using mint = modint998244353; ostream& operator<<(ostream& os, const mint a){ os << a.val(); return os; } const int N = 200000; mint g1[N],g2[N],inverse[N]; void init_mint(){ g1[1] = 1; g2[1] = 1; g1[0] = 1; g2[0] = 1; inverse[1] = 1; for (int n=2;n>N>>K; int a = (N+1)/2,b = N/2; vec A(9*a+1,0); A[0] = 1; for (int n=1;n<=9*a;n++){ for (int i=max(0,n-9);i B(9*b+1,0); B[0] = 1; for (int n=1;n<=9*b;n++){ for (int i=max(0,n-9);i f(9*b+1),g(9*a+1); for (int t=r;t<=9*b;t+=11){ f[t] = B[t]; } for (int s=(9900-10*r)%11;s<=9*a;s+=11){ g[s] = A[s]; } vec h = convolution(f,g); rep(st,N+1){ ans += h[st*9] * mint(st*9).pow(K); } } cout << ans << endl; }