#include <cstdio>
#include <iostream>

using namespace std;

int main()
{
	int test;

	scanf("%d",&test);

	for(;test;test--)
	{
		int id,x,y;

		scanf("%d",&id);
		scanf("%d%d",&x,&y);

		if(y>x)
			printf("%d 2 %d %d\n",id,x,y);
		else
		{
			int a1,a2,a3,a4;

			for(a1=3;a1<=20000;a1++)
			{
				a3=x+a1-1;
				if(a3>max(a1,a3-y+2)+1)
				{
					a2=max(a1,a3-y+2)+1;
					a4=a2+y-2;
					printf("%d 6 1 2 %d %d %d %d\n",id,a1,a2,a3,a4);
					goto loop;
				}
			}
			printf("%d NO PATH\n",id);
		}
		loop:;
	}

	return 0;
}