#include using namespace std; void dfs(vector> &ans, vector> &F, long long s, long long x, long long y, long long z, int p){ int cnt = F.size(); if (p == cnt){ if (x + y + z == s && max({x, y, z}) <= 1000000000){ vector a = {x, y, z}; sort(a.begin(), a.end()); ans.push_back(make_tuple(a[0], a[1], a[2])); } } else { int b = F[p].first; int e = F[p].second; vector POW(e + 1); POW[0] = 1; for (int i = 0; i < e; i++){ POW[i + 1] = POW[i] * b; } for (int i = 0; i <= e; i++){ for (int j = 0; j <= e - i; j++){ dfs(ans, F, s, x * POW[i], y * POW[j], z * POW[e - i - j], p + 1); } } } } int main(){ int t; cin >> t; for (int i = 0; i < t; i++){ long long S, T; cin >> S >> T; if (T % 2 != 0){ cout << 0 << endl; } else if (S * S * 2 % T != 0){ cout << 0 << endl; } else { long long s = T / 2; long long p = S * S * 2 / T; map mp; for (long long j = 2; j * j <= S; j++){ while (S % j == 0){ mp[j] += 2; S /= j; } } if (S > 1){ mp[S] += 2; } mp[2]++; for (long long j = 2; j * j <= T; j++){ while (T % j == 0){ mp[j]--; T /= j; } } if (T > 1){ mp[T]--; } vector> F; for (auto P : mp){ if (P.second != 0){ F.push_back(P); } } vector> ans; dfs(ans, F, s, 1, 1, 1, 0); sort(ans.begin(), ans.end()); ans.erase(unique(ans.begin(), ans.end()), ans.end()); int cnt = ans.size(); cout << cnt << endl; for (int j = 0; j < cnt; j++){ cout << s - get<0>(ans[j]) << ' ' << s - get<1>(ans[j]) << ' ' << s - get<2>(ans[j]) << endl; } } } }