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.

Example

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

2
0
import java.util.Scanner;

public class Main {

	/**
	 * @param args
	 */
	public static void main(String[] args) {
		Scanner cin = new Scanner(System.in);
		int N =cin.nextInt();
		for(;N--!=0;){
			En A =new En(cin.nextDouble(),cin.nextDouble(),cin.nextDouble());
			En B =new En(cin.nextDouble(),cin.nextDouble(),cin.nextDouble());
			boolean f=false;
			if(A.r<B.r){
				En C = A.clone();
				A = B;
				B=C;
				f=true;
			}
			double distance=dist(A,B);
			
			if(distance>A.r){
				// 外
				if(A.r+B.r>=distance){
					System.out.println(1);
				}
				else{
					System.out.println(0);
				}
				
			}
			else{
				int x = 2;
				if(f){
					x*=-1;
				}
				if(distance+B.r<A.r){
					System.out.println(x);
				}
				else{
					System.out.println(1);
				}
			}
		}

	}
	static double dist(En A,En B){
		double x = (A.x-B.x)*(A.x-B.x);
		double y = (A.y-B.y)*(A.y-B.y);
		
		return Math.sqrt(x+y);
	}
}
class En{
	double x,y,r;
	En(double a,double b,double c){
		x=a;y=b;r=c;
	}
	protected En clone(){
		En c=new En(this.x,this.y,this.r);
		return c;
	}
}