#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
#include<queue>
#include<cmath>
#include<stack>
#include<vector>
#include<map>
#define ll long long
#define lowbit(x) x&(-x)
using namespace std;
int tt,a,b,c;
double d;
struct N{
	int a,b,c;
	double d;
}ans[5];
struct node{
	int a,b,c;
}x;
double L(node a){
	return sqrt(a.a*a.a+a.b*a.b+a.c*a.c);
}
node mis(node a,node b){
	node c;
	c.a=a.a-b.a,c.b=a.b-b.b,c.c=a.c-b.c;
	return c;
}
node mul(node a,double f){
	a.a*=f,a.b*=f,a.c*=f;
	return a;
}
void sol(){
	x.a=a,x.b=b,x.c=c;
	node p,v;
	double l,d;
	p.a=p.b=p.c=255;
	v=mis(p,x);
	if(x.a==255) d=9999;
	else{
		v=mul(v,255/(255-x.a));
		l=L(v);
		d=1.0*x.a*l/v.a;
		x.a=0,x.b-=1.0*v.b*d/l,x.c-=1.0*v.c*d/l;
	}
	if(d<0) d=0;
	ans[3].a=p.a,ans[3].b=p.b,ans[3].c=p.c,ans[3].d=d;
	p.a=0,p.b=p.c=255;
	v=mis(p,x);
	if(x.b==255) d=9999;
	else{
		v=mul(v,255/(255-x.b));
		l=L(v);
		d=1.0*x.b*l/v.b;
		x.b=0,x.c-=1.0*v.c*d/l;
	}
	if(d<0) d=0;
	ans[2].a=p.a,ans[2].b=p.b,ans[2].c=p.c,ans[2].d=d;
	p.a=p.b=0,p.c=255;
	v=mis(p,x);
	if(x.c==255) d=9999;
	else{
		v=mul(v,255/(255-x.c));
		l=L(v);
		d=1.0*x.c*l/v.c;
	}
	if(d<0) d=0;
	ans[1].a=p.a,ans[1].b=p.b,ans[1].c=p.c,ans[1].d=d;
}
int main(){
	scanf("%d",&tt);
	while(tt--){
		scanf("%d%d%d",&a,&b,&c);
		if(a<=b&&b<=c) sol();
		else if(a<=c&&c<=b){
			swap(b,c);
			sol();
			for(int i=1;i<=3;++i) swap(ans[i].b,ans[i].c);
		}
		else if(b<=a&&a<=c){
			swap(a,b);
			sol();
			for(int i=1;i<=3;++i) swap(ans[i].a,ans[i].b);
		}
		else if(b<=c&&c<=a){
			swap(b,c),swap(a,c);
			sol();
			for(int i=1;i<=3;++i) swap(ans[i].b,ans[i].c),swap(ans[i].a,ans[i].c);
		}
		else if(c<=a&&a<=b){
			swap(b,c),swap(a,b);
			sol();
			for(int i=1;i<=3;++i) swap(ans[i].b,ans[i].c),swap(ans[i].a,ans[i].b);
		}
		else if(c<=b&&b<=a){
			swap(a,c);
			sol();
			for(int i=1;i<=3;++i) swap(ans[i].a,ans[i].c);
		}
		printf("3\n");
		for(int i=1;i<=3;++i) printf("%d %d %d %.12lf\n",ans[i].a,ans[i].b,ans[i].c,ans[i].d);
	}
}