#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #define N_MAX 200000 #define M_MAX 200000 const int Mod = 998244353; long long pow_mod(int n, long long k) { long long N, ans = 1; for (N = n; k > 0; k >>= 1, N = N * N % Mod) if (k & 1) ans = ans * N % Mod; return ans; } int naive(int N, int M) { int i, j, d[N_MAX + 1] = {}; long long dp[N_MAX + 1], tmp, sum = 0; for (i = 2; i <= M; i++) for (j = i; j <= N; j += i) d[j]++; for (i = 1, dp[0] = 1; i <= N; i++) { for (j = 0, tmp = 0; j < i - 1; j++) tmp += dp[j] * d[i-j]; tmp %= Mod; dp[i] = pow_mod(M - 1, i) - (sum + tmp) % Mod; if (dp[i] >= Mod) dp[i] -= Mod; else if (dp[i] < 0) dp[i] += Mod; sum = (sum * (M - 1) + tmp * (M - 2)) % Mod; } return (pow_mod(M, N) - dp[N] % Mod + Mod) % Mod; } int main() { int N, M; scanf("%d %d", &N, &M); printf("%d\n", naive(N, M)); fflush(stdout); return 0; }