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{
	public static void main(String[] args){
		Scanner scan = new Scanner(System.in);
		double[] point = new double[6];
		int n = scan.nextInt();
		for(int i = 0;i < n;i++){
			for(int j = 0;j < 6;j++){
				point[j] = scan.nextDouble();
			}
			double l = len(point[0],point[1],point[3],point[4]);
			double r = point[2] + point[5];
			if(l-r > 0.00001){
				System.out.println(0);
			}else{
				double t = point[2] - point[5];
				if(t > l){
					System.out.println(2);
				}else if(t < -l){
					System.out.println(-2);
				}else{
					System.out.println(1);
				}
			}
		}
	}
	public static double len(double x1,double y1,double x2,double y2){
		return Math.sqrt((x2-x1)*(x2-x1)+(y2-y1)*(y2-y1));
	}
}