#include <bits/stdc++.h>

#define pb push_back
#define F first
#define S second
#define sz(a) (int)a.size()
#define pii pair<int,int> 
#define rep(i , a , b) for(int i = (a) ; i <= (b) ; i++)
#define per(i , a , b) for(int i = (a) ; i >= (b) ; i--)
#define all(a) a.begin(),a.end() 
#define int long long 
#define ld long double

using namespace std ;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxn =2e5 + 10 , mod = 998244353 , inf= 1e10 ;;

struct po{
	ld a[3] ; 
};

vector <pair<ld,po> > vec ;

void go(po a , ld d){
	vec.pb({d , a})	;
}

ld sq(ld f){
	ld l= 0 , r =1e9 ;
	rep(i , 1 , 200){
		ld mid = (l+r)/(ld)2.0; 
		if((mid*mid) <= f){
			l = mid ;
		}else{
			r = mid ;
		}
	}
	return l ;
}

ld dis(po a, po b){
	ld ans =0 ;
	rep(i , 0 ,2){
		ans +=(a.a[i]-b.a[i]) * (a.a[i]-b.a[i]) ;
	}
	return sq((ld)ans); 
}
int is(po f){
	bool ok =0 ;
	rep(i , 0 ,2){
		if(f.a[i] < 0 || f.a[i] > 255){
			ok = 1; 
		}
	}
	return ok ;
}
void cp(po f1){
	rep(i , 0, 2)cout << f1.a[i] << " ";
	cout << endl ;
}
po st ;
void f(po x){
	int s =0 ;
	rep(i , 0, 2){
		if(x.a[i] ==0 || x.a[i]==255){
			s++;	
		}
	}
	if(s == 3){
		go(x , dis(st  , x));
		return ;
	}
	if(s==2){
		po x2 = x  , x3 = x ;
		rep(i ,0 ,2){
			if(x.a[i]!=0 && x.a[i]!=255){
				x2.a[i]=0 ;
				x3.a[i]=255; 
			}
		}
		f(x2) ;
		go(x3 , dis(x2 , x)) ;
		return ; 
	}
	if(s==1){
		vector <int> vec ;
		rep(i , 0 , 2){
			if(x.a[i]!=0 && x.a[i]!=255){
				vec.pb(i);
			}
		}
		ld m = x.a[vec[1]]/x.a[vec[0]] ;
		po f1 = x , f2 =x , k= x ;
		k.a[vec[0]] = k.a[vec[1]] = 0 ; 
		f1.a[vec[0]] = 255 ;f2.a[vec[1]] = 255 ;
		f2.a[vec[0]] = (ld)255/m ;f1.a[vec[1]] = (ld)255*m ;
		if(is(f1) == 1)f1 = f2 ;
		f(f1) ; 
		go(k , dis(f1 , x));	
		return ; 
	}
	bool ok =0  ;
	rep(i , 0 ,2){
		po b ;
		b.a[i] = 255 ;
		rep(j , 0 ,2){
			if(j == i)continue  ;
			ld m = x.a[j]/x.a[i] ;
			b.a[j] = m*(ld)255 ;
		}
		if(is(b) == 0){
			f(b);
			go(st , dis(b , x)) ;
			break ;
		}
	} 
}
int ch(int x){
	if(x==0)return 0;
	return 255 ; 
}

signed main(){
    ios::sync_with_stdio(0);cin.tie(0);
	rep(i , 0 ,2)st.a[i] = 0 ; 
	int T ;
	cin >> T ;
	while(T--){
		po b;
		rep(i ,0 ,2)cin >> b.a[i] ; 
		vec.clear() ;
		f(b);
		cout<< sz(vec) << "\n" ;
		rep(i ,0 , sz(vec)-1){
			po v = vec[i].S ; ld d = vec[i].F ;
			rep(i ,0 ,2)cout << v.a[i] << " " ;
			cout  << setprecision(12) << d << "\n" ; 
		}
	}
}
/*

*/