/* -*- coding: utf-8 -*-
 *
 * 1626.cc:  No.1626 三角形の構築 - yukicoder
 */

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<iostream>
#include<string>
#include<vector>
#include<map>
#include<set>
#include<stack>
#include<list>
#include<queue>
#include<deque>
#include<algorithm>
#include<numeric>
#include<utility>
#include<complex>
#include<functional>
 
using namespace std;

/* constant */

/* typedef */

typedef long long ll;

struct Trpl {
  int a, b, c;
  Trpl() {}
  Trpl(int _a, int _b, int _c): a(_a), b(_b), c(_c) {}
  void print() { printf("%d %d %d\n", a, b, c); }
};

typedef vector<Trpl> vt;

/* global variables */

/* subroutines */

/* main */

int main() {
  int tn;
  scanf("%d", &tn);

  while (tn--) {
    ll s, t;
    scanf("%lld%lld", &s, &t);

    ll ss = s * s, ht = t / 2;
    if ((t & 1) || ss % ht != 0) { puts("0"); continue; }

    ll xyz = ss / ht;
    vt ans;

    for (int x = 1; x < ht && (ll)x * x * x <= xyz; x++)
      if (xyz % x == 0) {
	ll yz = xyz / x;
	for (int y = x; y < ht && (ll)y * y <= yz; y++)
	  if (yz % y == 0) {
	    ll z = yz / y;
	    if (z < ht) {
	      int a = ht - z, b = ht - y, c = ht - x;
	      if ((ll)a + b + c == t)
		ans.push_back(Trpl(a, b, c));
	    }
	  }
      }

    printf("%lu\n", ans.size());
    for (auto p: ans) p.print();
  }
  return 0;
}