Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

Circles Intersection

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.

Sample 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 for the Sample Input

2
0

Solution in JavaScript (judge verdict: Wrong Answer)

(function(input) {
  var p = input.replace(/\n$/, '').split('\n');
  var n = Number(p.shift());
  for (var i = 0; i < n; i++) {
    var args = p.shift().split(' ').map(Number);
    var xa = args.shift();
    var ya = args.shift();
    var ra = args.shift();
    var xb = args.shift();
    var yb = args.shift();
    var rb = args.shift();
    var d = Math.sqrt(Math.pow(xb - xa, 2) + Math.pow(yb - ya, 2));

    if (ra >= d + rb) {
      console.log(2);
    } else if (rb >= d + ra) {
      console.log(-2);
    } else if (d <= ra + rb) {
      console.log(1);
    } else {
      console.log(0);
    }
  }
})(require('fs').readFileSync('/dev/stdin', 'utf8'));