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.io.*;

public class Main {
	public static void main(String[] args) throws Exception{
		BufferedReader bf =new BufferedReader(new InputStreamReader(System.in));
		String[] d = new String[6];
		double[] p = new double[7];
		int n=Integer.parseInt(bf.readLine());
		while(n-->0){
			d=bf.readLine().split(" ");
			for(int i=0;i<6;i++)p[i]=Double.parseDouble(d[i]);
			p[6]=Math.sqrt((p[0]-p[3])*(p[0]-p[3])+(p[1]-p[4])*(p[1]-p[4]));
			if(p[6]>p[2]+p[5]){
				System.out.println("0");
			}else if(p[2]-p[5]>p[6]){
				System.out.println("2");
			}else if(p[5]-p[2]>p[6]){
				System.out.println("-2");
			}else{
				System.out.println("1");
			}
		}
	}
}