#include using namespace std; #include using namespace atcoder; using mint = modint998244353; #include vector dp1, dp2, D, pw; void init(int N, int M) { D.assign(N + 10, 0); for (int i = 2; i <= M; i++) { for (int k = 1; k * i <= N; k++) { D.at(k * i - 1)++; } } pw.resize(N + 10); pw.at(0) = 0, pw.at(1) = 1, pw.at(2) = M - 2; for (int i = 2; i < N; i++) { pw.at(i + 1) = (M - 1) * pw.at(i); } dp1.assign(N + 10, 0); dp2.resize(N + 10); dp2.at(0) = 1; for (int i = 0; i < N; i++) { dp2.at(i + 1) = (M - 1) * dp2.at(i); } } vector getvec(const vector &v, int l, int r) { return {v.begin() + l, v.begin() + r}; } void onlineconvolution(int l, int r) { if (l + 1 == r) return; int m = (l + r) / 2; onlineconvolution(l, m); auto dp20 = getvec(dp2, l, m); auto D0 = getvec(D, 0, r - l); auto r1 = convolution(dp20, D0); for (int i = m; i < r; i++) { dp1.at(i) += r1.at(i - l); } auto dp10 = getvec(dp1, l, m); auto pw0 = getvec(pw, 0, r - l); auto r2 = convolution(dp10, pw0); for (int i = m; i < r; i++) { dp2.at(i) -= r2.at(i - l); } onlineconvolution(m, r); } int main() { int N, M; cin >> N >> M; init(N, M); onlineconvolution(0, N + 1); mint ans = ((mint)M).pow(N) - dp2.at(N); cout << ans.val() << endl; }