#include #include #include #include using namespace std; using namespace atcoder; using ll = long long; using mint = modint998244353; using vi = vector; using vvi = vector; using vvvi = vector; using vll = vector; using vvll = vector; using vvvll = vector; using vmi = vector; using vvmi = vector; using vvvmi = vector; #define all(a) (a).begin(), (a).end() #define rep2(i, m, n) for (int i = (m); i < (n); ++i) #define rep(i, n) rep2(i, 0, n) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define drep(i, n) drep2(i, n, 0) class Primes{ private: int size_p; vector is_p; vector primes; vector mobius; void eratos(int n){ for(int i=2; i<=n; i++){ if(minfactor[i] < i)continue; primes.emplace_back(i); mobius[i] = -1; is_p[i] =true; for(int j = 2*i; j<=n; j+=i){ minfactor[j] = min(i, minfactor[j]); mobius[j] = ((j/i) % i == 0) ? 0 : -mobius[j]; } } } public: vector minfactor; Primes(int n){ size_p = n; rep(i, size_p+1)is_p.emplace_back(false); rep(i, size_p+1)minfactor.emplace_back(i); rep(i, size_p+1)mobius.push_back(1); mobius[1] = 1; eratos(size_p); } bool isprime(int n){ return is_p[n]; } vector listPrimes(){ return primes; } int getMobius(int n){return mobius[n];} }; int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); int q; cin >> q; Primes p = Primes(200000); vmi kaijo(5000000); kaijo[0] = kaijo[1] = mint(1); rep2(i, 2, 5000000)kaijo[i] = kaijo[i-1]*mint(i); ll cnt = 0; while(q--){ int a, b; cin >> a >> b; while(a > 1){ cnt++; a /= p.minfactor[a]; } b--; if(cnt-1 < b){ cout << 0 << endl; }else{ mint ans = kaijo[cnt-1]/(kaijo[b]*kaijo[cnt-1-b]); cout << ans.val() << endl; } } return 0; }