#include #include using namespace std; typedef long long ll; const int INF = 1<<30; const ll INFLL = 1LL<<60; const ll MOD = 998244353; const double INFD = 1.0E10; const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, -1, 0, 1}; //const int dx[8] = {1, 1, 0, -1, -1, -1, 0, 1}; //const int dy[8] = {0, 1, 1, 1, 0, -1, -1, -1}; using Pair = pair; using Graph = vector>; using mint = atcoder::modint998244353; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); //素数を列挙 int M = 1e5; vector is_prime(M, true); is_prime[0] = false; is_prime[1] = false; vector primes; for (int i = 2; i < M; i++){ if (!is_prime[i]) continue; primes.push_back(i); for (int j = i; j < M; j += i) is_prime[j] = false; } int T; cin >> T; while (T--){ ll n, l, r; cin >> n >> l >> r; //素因数分解 ll x = n; vector> vec; for (auto p : primes){ ll tmp = 0; while (x % p == 0){ x /= p; tmp++; } // cerr << p << " : " << tmp << endl; if (tmp) vec.push_back({p, tmp}); } if (x > 1) vec.push_back({x, 1}); //[l,r]に3つ以上存在していて、どれかが互いに素であればよい。 int m = vec.size(); // cerr << m << endl; vector nums; x = 1; auto rec = [&](auto &&self, int idx = 0){ // cerr << x << endl; if (idx == m){ if (l <= x && x <= r) nums.push_back(x); return; } auto [p, q] = vec[idx]; for (int i = 0; i <= q; i++){ self(self, idx + 1); x *= p; } for (int i = 0; i <= q; i++) x /= p; }; rec(rec); sort(nums.begin(), nums.end()); // for (auto e : nums) cerr << e << endl; m = nums.size(); bool flag = false; tuple ans; for (int i = 0; i < m; i++){ for (int j = i + 1; j < m; j++){ for (int k = j + 1; k < m; k++){ ll x = lcm(nums[i], nums[j]); x = lcm(x, nums[k]); if (x == n){ ans = {nums[i], nums[j], nums[k]}; flag = true; } if (flag) break; } if (flag) break; } if (flag) break; } if (flag){ auto [a, b, c] = ans; cout << a << " " << b << " " << c << '\n'; } else cout << -1 << '\n'; } return 0; }