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 JAVA (judge verdict: Wrong Answer)

import java.util.*;
import java.lang.*;
import java.math.*;
import java.io.*;

import static java.lang.Math.*;
import static java.util.Arrays.*;

public class Main{

	Scanner sc;

	static final int INF=1<<28;
	static final double EPS=1e-6;

	void run(){
		sc=new Scanner(System.in);
		int n=sc.nextInt();
		for(int i=0; i<n; i++){
			double xa=sc.nextDouble();
			double ya=sc.nextDouble();
			double ra=sc.nextDouble();
			double xb=sc.nextDouble();
			double yb=sc.nextDouble();
			double rb=sc.nextDouble();
			P a=new P(xa, ya);
			P b=new P(xb, yb);
			double d=a.sub(b).abs();
			if(d+EPS>ra+rb)
				println("0");
			else if(abs(rb-ra)<d+EPS)
				println("1");
			else if(ra<rb)
				println("-2");
			else
				println("2");
		}
		sc.close();
	}

	void print(String s){
		System.out.print(s);
	}

	void println(String s){
		System.out.println(s);
	}

	public static void main(String[] args){
		new Main().run();
	}
}

class P{
	double x, y;

	P(){
		this(0, 0);
	}

	P(double x, double y){
		this.x=x;
		this.y=y;
	}

	P add(P p){
		return new P(x+p.x, y+p.y);
	}

	P sub(P p){
		return new P(x-p.x, y-p.y);
	}

	P mul(double m){
		return new P(x*m, y*m);
	}

	P div(double d){
		return new P(x/d, y/d);
	}

	double abs(){
		return Math.sqrt(abs2());
	}

	double abs2(){
		return x*x+y*y;
	}

	double dot(P p){
		return x*p.x+y*p.y;
	}

	double det(P p){
		return x*p.y-p.x*y;
	}

	P rot90(){
		return new P(-y, x);
	}
}