#include using namespace std; using ll = long long; using pii = pair; using pll = pair; using vi = vector; using vl = vector; #define rep3(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep2(i, a, b) rep3(i, a, b, 1) #define rep1(i, n) rep2(i, 0, n) #define rep0(n) rep1(aaaaa, n) #define ov4(a, b, c, d, name, ...) name #define rep(...) ov4(__VA_ARGS__, rep3, rep2, rep1, rep0)(__VA_ARGS__) #define per(i, a, b) for (ll i = (a) - 1; i >= (b); i--) #define fore(e, v) for (auto &&e : v) #define all(a) begin(a), end(a) #define sz(a) (ssize(a)) #define lb(v, x) (lower_bound(all(v), x) - begin(v)) #define eb emplace_back template bool chmin(T &a, const S &b) { return a > b ? a = b, 1 : 0; } template bool chmax(T &a, const S &b) { return a < b ? a = b, 1 : 0; } const int INF = 1e9 + 100; const ll INFL = 3e18 + 100; #define i128 __int128_t struct _ { _() { cin.tie(0)->sync_with_stdio(0), cout.tie(0); } } __; void solve() { ll N, L, R; cin >> N >> L >> R; if (N == 1) { cout << "-1\n"; return; } vector factor; ll t = 2; ll N2 = N; while (t * t <= N) { if (N % t == 0) { ll cnt = 0; while (N % t == 0) { cnt++; N /= t; } factor.push_back(pll{t, cnt}); } t++; } if (N != 1) factor.push_back(pll{N, 1}); vector divisor((1 << sz(factor)), vl()); divisor[0].push_back(1); rep(i, 1 << sz(factor)) { rep(j, sz(factor)) { if (i >> j & 1) continue; if (!divisor[i | (1 << j)].empty()) continue; ll p = 1; rep(e, factor[j].second + 1) { for (auto v : divisor[i]) { divisor[i | (1 << j)].push_back(v * p); } p *= factor[j].first; } } } fore(v, divisor) { sort(all(v)); } // cerr << "divisor:\n"; // for (auto v : divisor) { // fore(i, v) cerr << i << ' '; // cerr << endl; // } vl ppow(sz(factor), 1); rep(i, sz(factor)) { rep(j, factor[i].second) ppow[i] *= factor[i].first; } using al3 = array; auto dfs = [&](auto self, int idx, ll v1, ll v2, ll v3, int s1, int s2, int s3) -> pair { // rep(i, sz(factor)) cerr << (s1 >> i & 1); // cerr << " "; // rep(i, sz(factor)) cerr << (s2 >> i & 1); // cerr << " "; // rep(i, sz(factor)) cerr << (s3 >> i & 1); // cerr << endl; // cerr << v1 << ' ' << v2 << ' ' << v3 << endl; if (idx == sz(factor)) { vl v1m, v2m, v3m; auto l1 = lb(divisor[s2 | s3], (L + v1 - 1) / v1); while (l1 < sz(divisor[s2 | s3]) && sz(v1m) < 3 && divisor[s2 | s3][l1] * v1 <= R) { v1m.push_back(divisor[s2 | s3][l1]); l1++; } auto l2 = lb(divisor[s1 | s3], (L + v2 - 1) / v2); while (l2 < sz(divisor[s1 | s3]) && sz(v2m) < 3 && divisor[s1 | s3][l2] * v2 <= R) { v2m.push_back(divisor[s1 | s3][l2]); l2++; } auto l3 = lb(divisor[s1 | s2], (L + v3 - 1) / v3); while (l3 < sz(divisor[s1 | s2]) && sz(v3m) < 3 && divisor[s1 | s2][l3] * v3 <= R) { v3m.push_back(divisor[s1 | s2][l3]); l3++; } for (auto vv1 : v1m) { for (auto vv2 : v2m) { for (auto vv3 : v3m) { al3 ans{vv1 * v1, vv2 * v2, vv3 * v3}; sort(all(ans)); if (ans[0] != ans[1] && ans[1] != ans[2]) { return make_pair(ans, true); } } } } return make_pair(al3{0, 0, 0}, false); } auto ret1 = self(self, idx + 1, v1 * ppow[idx], v2, v3, s1 | (1 << idx), s2, s3); if (ret1.second) { return ret1; } auto ret2 = self(self, idx + 1, v1, v2 * ppow[idx], v3, s1, s2 | (1 << idx), s3); if (ret2.second) { return ret2; } auto ret3 = self(self, idx + 1, v1, v2, v3 * ppow[idx], s1, s2, s3 | (1 << idx)); if (ret3.second) { return ret3; } return make_pair(al3{0, 0, 0}, false); }; auto [ans, ok] = dfs(dfs, 1, ppow[0], 1, 1, 1, 0, 0); if (ok) { cout << ans[0] << ' ' << ans[1] << ' ' << ans[2] << '\n'; assert(lcm(ans[0], lcm(ans[1], ans[2])) == N2); assert(ans[0] >= L); assert(ans[2] <= R); } else { cout << "-1\n"; } } int main() { int T; cin >> T; rep(T) solve(); } /* 1 73513440 1 73513440 */