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
#include <iostream>
using namespace std;

int main(void){
	int n;
	cin >> n;
	for(int i=0;i<n;++i){
		double xa,ya,ra,xb,yb,rb,ab;
		cin >> xa >> ya >> ra >> xb >> yb >> rb;
		double d_2 = (xa-xb)*(xa-xb)+(ya-yb)*(ya-yb);
		if(d_2>(ra+rb)*(ra+rb)){
			cout << "0\n";
		}else if(d_2==(ra+rb)*(ra+rb)){
			cout << "1\n";
		}else{
			if(d_2<(ra-rb)*(ra-rb)&&(ra>rb)){
				cout << "2\n";
			}else if(d_2<(rb-ra)*(rb-ra)&&(ra<rb)){
				cout << "-2\n";
			}else{
				cout << "1\n";
			}
		}
	}
	return 0;
}