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<cstdio>
#include<iostream>
#include<algorithm>
#include<cmath>

using namespace std;

double distance( double y1, double x1, double y2, double x2){
  return sqrt( (y1 - y2) * (y1 - y2) + (x1 - x2) * (x1 - x2));
}
int main(){
  int q;
  cin >> q;
  while(q--){
    double xa, ya, ra, xb, yb, rb;
    cin >> xa >> ya >> ra >> xb >> yb >> rb;
    double d = distance( ya, xa, yb, xb);

    int ret = 1;
    if( d > ra + rb) ret = 0;
    if( d + rb < ra) ret = 2;
    else if( d + ra < rb) ret = -2;

    cout << ret << endl;
  }
}