#include<bits/stdc++.h>
#define int long long
#define x first
#define y second
using namespace std;
const int N = 1e6+10,INF = 1e12,mod = 998244353;
const double eps = 1e-8;
typedef pair<int,int>PII;
struct Node
{
	int x,y,z;
	double d;
};
vector<Node>ans;
void work(int cnt,double x,double y,double z)
{
	if(cnt==3)
	{
		double d = sqrt(x*x+y*y+z*z);
		ans.push_back((Node){x,y,z,d});
		return;
	}
	else if(cnt==2)
	{
		if(x>eps&&(int)x!=255)
		{
			//printf("!!!!!!\n");
			work(3,0,y,z);
			ans.push_back((Node){255,y,z,x});
			return;
		}
		if(y>eps&&(int)y!=255)
		{
			work(3,x,0,z);
			ans.push_back((Node){x,255,z,y});
			return;
		}
		if(z>eps&&(int)z!=255)
		{
			work(3,x,y,0);
			ans.push_back((Node){x,y,255,z});
			return;
		}	
		return;			
	}
	else if(cnt==1)
	{
		if(x<=eps||(int)x==255)
		{
			double tmp = (255-y)/(255-z);
			double yp = y-tmp*z,zp = z-y/tmp;
			if(yp>=-eps)
			{
				work(2,x,yp,0);
				ans.push_back({x,255,255,sqrt((y-yp)*(y-yp)+z*z)});
				return;
			}
			if(zp>=-eps)
			{
				work(2,x,0,zp);
				ans.push_back({x,255,255,sqrt((z-zp)*(z-zp)+y*y)});
				return;
			}			
		}
		if(y<=eps||(int)y==255)
		{
			double tmp = (255-x)/(255-z);
			double xp = x-tmp*z,zp = z-x/tmp;
//			printf("%.12lf %.12lf\n",xp,zp);
//			return;
			if(xp>=-eps)
			{
				work(2,xp,y,0);
				ans.push_back({255,y,255,sqrt((x-xp)*(x-xp)+z*z)});
				return;
			}
			if(zp>=-eps)
			{
				work(2,0,y,zp);
				ans.push_back({255,y,255,sqrt((z-zp)*(z-zp)+x*x)});
				return;
			}			
		}
		if(z<=eps||(int)z==255)
		{
			double tmp = (255-y)/(255-x);
			double yp = y-tmp*x,xp = x-y/tmp;
			//printf("!!!!%.12lf %.12lf\n",x,y);
			if(yp>=-eps)
			{
				work(2,0,yp,z);
				ans.push_back({255,255,z,sqrt((y-yp)*(y-yp)+x*x)});
				return;
			}
			if(xp>=-eps)
			{
				work(2,xp,0,z);
				ans.push_back({255,255,z,sqrt((x-xp)*(x-xp)+y*y)});
				return;
			}			
		}
		return;			
	}
	else
	{
		double xp,yp,zp,tmp;
		tmp = x/(255-x);
		yp = y-tmp*(255-y),zp=z-tmp*(255-z);
		//printf("!!!!%.12lf %.12lf\n",yp,zp);
		//return;
		if(yp>=-eps&&zp>=-eps)
		{
			//cout<<"!!!!\n";
			//return;
			work(1,0,yp,zp);
			ans.push_back({255,255,255,sqrt(x*x+(y-yp)*(y-yp)+(z-zp)*(z-zp))});
			return ;
		}
		//return;
		tmp = y/(255-y);
		xp = x-tmp*(255-x),zp = z-tmp*(255-z);
		//printf("!!!!%.12lf %.12lf\n",xp,zp);
		if(xp>=-eps&&zp>=-eps)
		{
			work(1,xp,0,zp);
			ans.push_back({255,255,255,sqrt(y*y+(x-xp)*(x-xp)+(z-zp)*(z-zp))});
			return;
		}
		tmp = z/(255-z);
		xp = x-tmp*(255-x),yp= y-tmp*(255-y);
		//printf("!!!!%.12lf %.12lf\n",xp,yp);
		if(xp>=-eps&&yp>=-eps)
		{
			work(1,xp,yp,0);
			ans.push_back({255,255,255,sqrt(z*z+(x-xp)*(x-xp)+(y-yp)*(y-yp))});
			return;
		}
	}
	
}
void solve()
{
	int x,y,z;
	ans.clear();
	scanf("%lld%lld%lld",&x,&y,&z);
	int cnt=0;
	if(x==0||x==255)	cnt++;
	if(y==0||y==255)	cnt++;
	if(z==0||z==255)	cnt++;
	work(cnt,x,y,z);
	printf("%lld\n",ans.size());
	for(auto t : ans)	printf("%lld %lld %lld %.12lf\n",t.x,t.y,t.z,t.d);	
}
signed main()
{
	int T =1 ;
	//cin.tie(0)->sync_with_stdio(false);
	cin>>T;
	while(T--)
	{
		solve();
	}
}