#include #include using namespace std; using ll = long long; using mint = atcoder::modint998244353; template struct csr { using itr = typename std::vector::iterator; struct Node { itr st, en; itr begin() { return st; } itr end() { return en; } int size() { return en - st; } T& operator[](int p){ return st[p]; } }; const int N; std::vector start; std::vector E; std::vector> edge; csr(int n) : N(n), start(n + 1) {} void add_edge(int u, T v){ assert(0 <= u && u < N); start[u + 1]++; edge.emplace_back(u, v); } void build(){ E.resize(edge.size()); for(int i = 0; i < N; i++) start[i + 1] += start[i]; auto cnt = start; for(auto [u, v] : edge) E[cnt[u]++] = v; } Node operator[](int p) { return Node{E.begin() + start[p], E.begin() + start[p + 1]}; } }; int main(){ ios::sync_with_stdio(false); cin.tie(0); constexpr int r = 202500; csr divs(r + 1); for(int i = 1; i <= r; i++){ for(int j = i, cur = 1; j <= r; j += i, cur++){ divs.add_edge(j, cur); } } divs.build(); csr> query(2025); int T, n, a; cin >> T; for(int i = 0; i < T; i++){ cin >> n >> a; query.add_edge(n - 1, {a, i}); } query.build(); vector ans(T); array binom; binom[0] = mint::raw(1); for(int n = 0; n < 2025; n++){ for(auto &&[a, idx] : query[n]){ mint tmp; for(auto &&ad : divs[a]){ int v = ad - n; if(v % 2 != 0 || v > 0) continue; v = -v / 2; if(v <= n) tmp += binom[v]; v += ad + 1; if(v <= n) tmp -= binom[v]; } ans[idx] = tmp.val(); } for(int j = n; j >= 0; j--) binom[j + 1] += binom[j]; } for(auto &&v : ans) cout << v << '\n'; }