Problem:
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Circles Intersection

You are given circle $A$ with radius $r_a$ and with central coordinate $(x_a, y_a)$ and circle $B$ with radius $r_b$ and with central coordinate $(x_b, y_b)$.

Write a program which prints:

"2" if $B$ is in $A$,

"-2" if $A$ is in $B$,

"1" if circumference of $A$ and $B$ intersect, and

"0" if $A$ and $B$ do not overlap.

You may assume that $A$ and $B$ are not identical.

Input

The input consists of multiple datasets. The first line consists of an integer $N$ ($N \leq 50$), the number of datasets. There will be $N$ lines where each line represents each dataset. Each data set consists of real numbers:

$x_a$ $y_a$ $r_a$ $x_b$ $y_b$ $r_b$

Output

For each dataset, print 2, -2, 1, or 0 in a line.

Sample Input

2
0.0 0.0 5.0 0.0 0.0 4.0
0.0 0.0 2.0 4.1 0.0 2.0

Output for the Sample Input

2
0

Solution in C# (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace mondai0023
{
	class Program
	{
		static void Main(string[] args)
		{
			var	n	= int.Parse( Console.ReadLine() );
			for( int i = 0; i < n; i++ ) {
				var	c	= Array.ConvertAll( Console.ReadLine().Split(), cc => double.Parse( cc ) );
				var	x	= c[ 0 ] - c[ 3 ];
				var	y	= c[ 1 ] - c[ 4 ];
				var	ra	= c[ 2 ];
				var	rb	= c[ 5 ];
				var	d	= Math.Sqrt( x * x + y * y );
				if( d > ra + rb ) {
					Console.WriteLine( "0" );
				} else if( d + rb < ra ) {
					Console.WriteLine( "2" );
				} else if( d + ra < rb ) {
					Console.WriteLine( "-2" );
				} else {
					Console.WriteLine( "1" );
				}
			}
		}
	}
}