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.*;

class Main {
	
	static double EPS = 1e-9;
	
	public static void main(String args[]){
		Scanner in = new Scanner(System.in);
		int n = in.nextInt();
		while(n-- > 0){
			double x1 = in.nextDouble(), y1 = in.nextDouble(), r1 = in.nextDouble(),
					x2 = in.nextDouble(), y2 = in.nextDouble(), r2 = in.nextDouble();
			double d = getDist(x1, y1, x2, y2);
			if(d > r1 + r2 + EPS){
				System.out.println(0);
			}
			else if(d > Math.abs(r1-r2) - EPS){
				System.out.println(1);
			}
			else{
				if(r1 > r2){
					System.out.println(2);
				}
				else{
					System.out.println(-2);
				}
			}
		}
	}
	
	private static double getDist(double x1, double y1, double x2, double y2){
		return Math.hypot(x2-x1, y2-y1);
	}

}