#include using namespace std; #ifdef LOCAL #include "settings/debug.cpp" #define _GLIBCXX_DEBUG #else #define Debug(...) void(0) #endif using ll = long long; #define rep(i, n) for (int i = 0; i < (n); ++i) int main() { ll n, p; cin >> n >> p; // n! を p^e k とあらわしたとき、 p^e mod 998244353 を出力する // e = sum_{i=1}^inf floor(n/p^i) ll e = 0; ll pp = p; while (pp <= n) { e += n / pp; pp *= p; } ll ans = 1, x = p; constexpr ll MOD = 998244353; while (e) { if (e % 2) { ans *= x; ans %= MOD; } x *= x; x %= MOD; e /= 2; } cout << ans << endl; return 0; }