#include <bits/stdc++.h> using namespace std; #if __has_include(<atcoder/all>) #include <atcoder/all> #endif using ll=long long; using ull=unsigned long long; using P=pair<ll,ll>; template<typename T>using minque=priority_queue<T,vector<T>,greater<T>>; template<typename T>bool chmax(T &a,const T &b){return (a<b?(a=b,true):false);} template<typename T>bool chmin(T &a,const T &b){return (a>b?(a=b,true):false);} template<typename T1,typename T2>istream &operator>>(istream &is,pair<T1,T2>&p){is>>p.first>>p.second;return is;} template<typename T>istream &operator>>(istream &is,vector<T> &a){for(auto &i:a)is>>i;return is;} template<typename T1,typename T2>void operator++(pair<T1,T2>&a,int n){a.first++,a.second++;} template<typename T1,typename T2>void operator--(pair<T1,T2>&a,int n){a.first--,a.second--;} template<typename T>void operator++(vector<T>&a,int n){for(auto &i:a)i++;} template<typename T>void operator--(vector<T>&a,int n){for(auto &i:a)i--;} #define reps(i,a,n) for(int i=(a);i<int(n);i++) #define rep(i,n) reps(i,0,n) #define all(x) x.begin(),x.end() #define pcnt(x) __builtin_popcountll(x) #define fin(x) return cout<<x<<'\n',static_cast<void>(0) ll myceil(ll a,ll b){return (a+b-1)/b;} template<typename T,size_t n,size_t id=0> auto vec(const int (&d)[n],const T &init=T()){ if constexpr (id<n)return vector(d[id],vec<T,n,id+1>(d,init)); else return init; } #ifdef LOCAL #include<debug.h> #else #define debug(...) static_cast<void>(0) #define debugg(...) static_cast<void>(0) template<typename T1,typename T2>ostream &operator<<(ostream &os,const pair<T1,T2>&p){os<<p.first<<' '<<p.second;return os;} #endif void SOLVE(); int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout<<fixed<<setprecision(16); #ifdef LOCAL clock_t start=clock(); #endif int testcase=1; cin>>testcase; for(int i=0;i<testcase;i++){ SOLVE(); } #ifdef LOCAL cerr<<"time:"; cerr<<(clock()-start)/1000; cerr<<"ms\n"; #endif } #include<type_traits> template<typename T,std::enable_if_t<std::is_integral_v<T>,std::nullptr_t> =nullptr,typename Func> T bin_search(T ok,T ng,const Func&f){ while(std::abs(ok-ng)>1){ T mid=(ok&ng)+((ok^ng)>>1); (f(mid)?ok:ng)=mid; } return ok; } template<typename T,std::enable_if_t<std::is_floating_point_v<T>,int> loop=100,typename Func> T bin_search(T ok,T ng,const Func&f){ for(int i=0;i<loop;i++){ T mid=(ok+ng)/2; (f(mid)?ok:ng)=mid; } return ok; } void SOLVE(){ ll d,x,y; cin>>d>>x>>y; auto is_ok=[&](ll a,ll b)->bool { return 0<=a&&a<=d&&0<=b&&b<=d; }; ll g=gcd(x,y); ll gx=x/g; ll gy=y/g; auto cross=[&](ll ax,ll ay,ll bx,ll by){return ax*by-ay*bx;}; ll ans=0; { ll dx=bin_search<ll>(0,d+1,[&](ll v)->bool { return is_ok(x+v*gy,y-gx*v); }); debug(dx); chmax(ans,abs(cross(x,y,x+dx*gy,y-dx*gx))); } { ll dx=bin_search<ll>(0,d+1,[&](ll v)->bool { return is_ok(x-v*gy,y+gx*v); }); debug(dx); chmax(ans,abs(cross(x,y,x-dx*gy,y+dx*gx))); } cout<<ans<<'\n'; }