Problem:
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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 Ruby (judge verdict: Accepted)

class Circle
  def compare(list)
    xa, ya, ra, xb, yb, rb = list
    cd = center_distance(xa, ya, xb, yb)
    return 0  if cd > ra + rb
    return 2  if cd + rb < ra
    return -2 if cd + ra < rb
    1
  end

  def center_distance(xa, ya, xb, yb)
    ((ya - yb)**2 + (xa - xb)**2)**(1 / 2.0)
  end
end

n = STDIN.gets.chomp.to_i
inputs = STDIN.read.split("\n").map { |e| e.split.map { |e| e.chomp.to_f } }
n.times do |i|
  puts Circle.new.compare(inputs[i])
end