An extension of a complex number is called a quaternion. It is a convenient number that can be used to control the arm of a robot because it is convenient for expressing the rotation of an object. Quaternions are $ using four real numbers $ x $, $ y $, $ z $, $ w $ and special numbers (extended imaginary numbers) $ i $, $ j $, $ k $. It is expressed as x + yi + zj + wk $. The sum of such quaternions is defined as:

$ (x_1 + y_1 i + z_1 j + w_1 k) + (x_2 + y_2 i + z_2 j + w_2 k) = (x_1 + x_2) + (y_1 + y_2) i + (z_1 + z_2) j + (w_1 + w_2) k $

On the other hand, the product between 1, $ i $, $ j $, and $ k $ is given as follows.

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This table represents the product $ AB $ of two special numbers $ A $ and $ B $. For example, the product $ ij $ of $ i $ and $ j $ is $ k $, and the product $ ji $ of $ j $ and $ i $ is $ -k $.

The product of common quaternions is calculated to satisfy this relationship. For example, the product of two quaternions, $ 1 + 2i + 3j + 4k $ and $ 7 + 6i + 7j + 8k $, is calculated as follows:

$ (1 + 2i + 3j + 4k) \ times (7 + 6i + 7j + 8k) = $
$ 7 + 6i + 7j + 8k $
$ + 14i + 12i ^ 2 + 14ij + 16ik $
$ + 21j + 18ji + 21j ^ 2 + 24jk $
$ + 28k + 24ki + 28kj + 32k ^ 2 $

By applying the table above

$ = -58 + 16i + 36j + 32k $

It will be.

Two quaternions ($ x_1 + y_1 i + z_1 j + w_1 k $) and ($) where the four coefficients $ x $, $ y $, $ z $, $ w $ are integers and not all zeros x_2 + y_2 i + z_2 j + w_2 k $), and the product is ($ x_3 + y_3 i + z_3 j + w_3 k $), $ x_3 $, $ y_3 $, $ z_3 $, $ Create a program that outputs w_3 $.



input

Given multiple datasets. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format:

$ n $
$ data_1 $
$ data_2 $
::
$ data_n $


The first line gives the number of pairs of quaternions to process $ n $ ($ n \ leq 10 $). The following $ n $ line is given the $ i $ th quaternion pair of information $ data_i $ in the following format:

$ x_1 $ $ y_1 $ $ z_1 $ $ w_1 $ $ x_2 $ $ y_2 $ $ z_2 $ $ w_2 $

All coefficients given should be -1000 or more and 1000 or less. The number of datasets does not exceed 50.

output

Prints the product of a given set of quaternions for each dataset.

Example

Input

2
1 2 3 4 7 6 7 8
5 6 7 8 3 2 3 4
0


Output

-58 16 36 32
-50 32 28 48
public class
Main
{
  public void
  run (
    final java.util.Scanner sc,
    final java.io.PrintStream out
    )
  {
    int i;

    for ( ; ; )
    {
      int n;

      n = sc.nextInt ( );
      if ( n == 0 ) break ;
      for ( i = 0; i < n; ++i )
      {
        int x1, y1, z1, w1;
        int x2, y2, z2, w2;

        x1 = sc.nextInt ( ); y1 = sc.nextInt ( ); z1 = sc.nextInt ( ); w1 = sc.nextInt ( );
        x2 = sc.nextInt ( ); y2 = sc.nextInt ( ); z2 = sc.nextInt ( ); w2 = sc.nextInt ( );

        out.printf ( "%d %d %d %d\n"
                   , x1 * x2 - y1 * y2 - z1 * z2 - w1 * w2
                   , y1 * x2 + x1 * y2 - w1 * z2 + z1 * w2
                   , z1 * x2 + w1 * y2 + x1 * z2 - y1 * w2
                   , w1 * x2 - z1 * y2 + y1 * z2 + x1 * w2 );
      }
    }
  }

  public static void
  main (
    final String[ ] args
    )
  {
    ( new Main ( ) ).run ( new java.util.Scanner ( System.in ), System.out );
  }
}