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 JAVA (judge verdict: Wrong Answer)


import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {

  public static final int alphabet_num = 'z' - 'a';

  public static void main(String[] args) throws IOException {
    BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
    /*
     String in;
     while ((in = reader.readLine()) != null) {

     }
     */
    int dataNum = Integer.valueOf(reader.readLine());
    for (int i = 0; i < dataNum; i++) {
      String[] in = reader.readLine().split(" ");
      float xA = Float.valueOf(in[0]);
      float yA = Float.valueOf(in[1]);
      float rA = Float.valueOf(in[2]);
      float xB = Float.valueOf(in[3]);
      float yB = Float.valueOf(in[4]);
      float rB = Float.valueOf(in[5]);
      float distance = (float) Math.sqrt(Math.pow(xB - xA, 2) + Math.pow(yB - yA, 2));

      if (rB < rA) {
        if (distance < rA - rB) {
          System.out.println("2");
          continue;
        } else if (distance <= rA + rB) {
          System.out.println("1");
          continue;
        }
      } else {
        if (distance < rB - rA) {
          System.out.println("-2");
          continue;
        } else if (distance <= rB + rA) {
          System.out.println("1");
          continue;
        }
      }

      System.out.println("0");

    }
  }

}