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>
#include<cmath>
using namespace std;

int main(){
  int n;
  double ax,ay,ar,bx,by,br;
  double dis;

  cin >> n;
  for(int i=0;i<n;i++){
    cin >> ax >> ay >> ar >> bx >> by >> br;

    dis = sqrt( (ax-bx)*(ax-bx) + (ay-by)*(ay-by) );
    if( dis > ar + br)cout << 0 << endl;
    else if( br < ar && dis < ar - br)cout << 2 << endl;
    else if( ar < br && dis < br - ar)cout << -2 << endl;
    else cout << 1 << endl;
  }
}