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 in = new Scanner(System.in);
	int dataSet = in.nextInt();
	for (int i = 0; i < dataSet; i++) {
	 double[] x = new double[2];
	 double[] y = new double[2];
	 double[] r = new double[2];
	 for (int j = 0; j < r.length; j++) {
		x[j] = in.nextDouble();
		y[j] = in.nextDouble();
		r[j] = in.nextDouble();
	 }
	 double l = Math.hypot(x[0] - x[1], y[0] - y[1]);
	 if (r[0] + r[1] < l) {
		System.out.println(0);
	 } else {
		double c = (r[0] - r[1]);
		if (l < c) {
		 System.out.println(2);
		} else if (l < -c) {
		 System.out.println(-2);
		} else {
		 System.out.println(1);
		}
	 }
	}
 }
}