#include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using pq_ = priority_queue, greater>; template int LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template int UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(b bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(int)(a&1),a>>=1;}return res;} template T square(T a){return a * a;} //Nの正の約数を列挙する vector Divisors(long long N){ vector p,q; long long i=1,K=0; while(i*i=0;i--){ p.push_back(q[i]); } return p; } // return val=p(N) // a=p[0].first^p[0].second * ... *p[N-1].first^p[N-1].second // for all i: p[i].first is prime number // O(sqrt(val)) std::vector> Prime_factorization(long long val){ assert(val>=1); if(val==1){ return {}; } int ind=0; std::vector> ans; for(long long i=2;i*i<=val;i++){ if(val%i!=0) continue; ans.push_back({i,0}); while(val%i==0){ ans[ind].second++; val/=i; } ind++; } if(val!=1) ans.push_back({val,1}); return ans; } void solve(); // DEAR MYSTERIES / TOMOO int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; cin >> t; rep(i, 0, t) solve(); } void solve(){ ll N, L, R; cin >> N >> L >> R; auto D = Divisors(N); int a = LB(D, L); int b = UB(D, R); if (b - a < 3) { cout << "-1\n"; return; } auto P = Prime_factorization(N); int M = P.size(); vector G(1 << M, -1); vector q(M, 1); rep(i, 0, M) { rep(rp, 0, P[i].second) q[i] *= P[i].first; } rep(i, a, b) { int ind = 0; rep(j, 0, M) { if (D[i] % q[j] == 0) ind += (1 << j); } G[ind] = D[i]; } rep(i, 0, 1 << M) rep(j, 0, M) if (i & (1 << j)) chmax(G[i - (1 << j)], G[i]); int th = 1; rep(i, 0, M - 1) th *= 3; rep(rp, 0, th) { int tmp = rp; vector p(3); p[0] = 1; rep(j, 0, M - 1) { p[tmp % 3] += (2 << j); tmp /= 3; } if (min(G[p[0]], min(G[p[1]], G[p[2]])) != -1) { set s; rep(i, 0, 3) s.insert(G[p[i]]); rep(i, a, b) if ((int)s.size() != 3) s.insert(D[i]); vector ans; for (auto x : s) ans.push_back(x); vec_out(ans); return; } } cout << "-1\n"; } /* * 数を 1 つ固定すると、それ以外の lcm を a の倍数にしてくださいという問題になる * a をさらに分解すると、わかる? * N の素因数ごとに分担をして、考える * 素因数の数は高々 9 個 * 3^8 = 81 * 81 = 6400 * まあいけるか * */