#include "bits/stdc++.h" //#include "atcoder/all" using namespace std; //using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } long long cheker(long long n) { if (n < 0)return -1; for (long long i = max((double)0, sqrt(n) - 10); i <= sqrt(n) + 10; ++i) { if (i * i == n)return i; } return -1; } vector create(long long x) { vectorv; for (long long i = 1; i*i*i <= x; ++i) { if (0 == (x % i))v.push_back(i); } return v; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int q; cin >> q; while (q--) { long long s, t; cin >> s >> t; long long r = s * s * 16; if (0 != r % t) { cout << 0 << endl; continue; } r /= t; vectorvx = create(r); sort(all(vx)); //r = x*y*(t-x-y) vector>>ans; rep(i, vx.size()) { long long x = vx[i]; long long rx = r / x; //rx = y(t-x-y) //y=((t-x)Âħsqrt((x-t)^2-4*rx))/2 long long sq = cheker((x - t) *(x - t) - 4 * rx); if (-1 == sq)continue; if (0 != abs(t - x - sq) % 2)continue; rep(j, 2) { long long y = (t - x - sq) / 2; if (1 == j) y = (t - x + sq) / 2; if (y > 0) { long long z = t - x - y; if (z > 0) { if ((0 == (abs(x - y) % 2)) && (0 == (abs(x - z) % 2))) { vectorabc(3); abc[0] = (x + y) / 2; abc[1] = (x + z) / 2; abc[2] = (y + z) / 2; sort(all(abc)); ans.push_back({ abc[0],{abc[1],abc[2]} }); //cout << abc[0] << abc[1] << abc[2] << endl; } } } } } sort(all(ans)); ans.erase(unique(all(ans)), ans.end()); cout << ans.size() << endl; for (auto abc : ans) { cout << abc.first << " " << abc.second.first << " " << abc.second.second << endl; } } return 0; }