#include #include using namespace std; using mint = atcoder::modint998244353; vector> prime_factorize(int N) { vector> res; for (int i = 2; i * i <= N; ++i) { if (N % i != 0) continue; int cnt = 0; while (N % i == 0) { ++cnt; N /= i; } res.push_back({i, cnt}); } if (N != 1) res.push_back({N, 1}); return res; } int main() { int N, M; cin >> N >> M; auto pf = prime_factorize(M); mint ans = 1; for (const auto& [key, value] : pf) { ans *= mint(value + 1).pow(N) - mint(value).pow(N); } cout << ans.val() << endl; }