#include #include using namespace std; using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; #define FAST_IO \ ios::sync_with_stdio(false); \ cin.tie(0); const i64 INF = 1001001001001001001; using Modint = atcoder::static_modint<998244353>; vector a{ 1, 295201906, 160030060, 957629942, 545208507, 213689172, 760025067, 939830261, 506268060, 39806322, 808258749, 440133909, 686156489, 741797144, 390377694, 12629586, 544711799, 104121967, 495867250, 421290700, 117153405, 57084755, 202713771, 675932866, 79781699, 956276337, 652678397, 35212756, 655645460, 468129309, 761699708, 533047427, 287671032, 206068022, 50865043, 144980423, 111276893, 259415897, 444094191, 593907889, 573994984, 892454686, 566073550, 128761001, 888483202, 251718753, 548033568, 428105027, 742756734, 546182474, 62402409, 102052166, 826426395, 159186619, 926316039, 176055335, 51568171, 414163604, 604947226, 681666415, 511621808, 924112080, 265769800, 955559118, 763148293, 472709375, 19536133, 860830935, 290471030, 851685235, 242726978, 169855231, 612759169, 599797734, 961628039, 953297493, 62806842, 37844313, 909741023, 689361523, 887890124, 380694152, 669317759, 367270918, 806951470, 843736533, 377403437, 945260111, 786127243, 80918046, 875880304, 364983542, 623250998, 598764068, 804930040, 24257676, 214821357, 791011898, 954947696, 183092975, }; int F = 1e7; Modint fac(int N) { Modint x = a[N / F]; for (int i = N / F * F + 1; i <= N; i++) { x *= i; } return x; } int main() { FAST_IO int N, K; cin >> N >> K; if (K * 2 >= N) { K = N - K; } if (N >= 998244353) { if (N - K + 1 <= 998244353) { cout << 0 << endl; } else { Modint x = 1; for (int i = 0; i < K; i++) { x *= N - i; x /= i + 1; } cout << x.val() << endl; } return 0; } Modint ans = fac(N) * fac(N - K).inv() * fac(K).inv(); cout << ans.val() << endl; }