Drawing flags is a boring job. But it is nice to do this.

Given the coordinates of the point A and point B in the flag. You should output the coordinates of C, D, E, F, G, H, I, J, K, L, M and N.

The flag is looks like this:

Polygon EFGHIJKLMN is a regular five-pointed star (pentagram) and polygon ABCD is a rectangle. The center of the polygon EFGHIJKLMN and the polygon ABCD is the midpoint of the diagonal end points of the rectangle.

Line AB parallel to line JE.

It is possible to scale the flag down or scale the flag up when drawing. So it is possible that .
It is possible to rotate the flag when drawing. So it is possible that .

输入描述:

The first line contains a single integer  (), the number of test cases. Then  test cases follow.

Each line contains  integers  and  separated by a space --- the coordinates of the point  and point  ().

输出描述:

For each test case output 1 line.

Each line contains  real numbers  and  separated by space --- the coordinates of the point , point , point , point , point , point , point , point , point , point , point  and point .

1
0 0 0 20

30.000000 20.000000 30.000000 -0.000000 15.000000 16.000000 16.347084 11.854102 20.706339 11.854102 17.179628 9.291796 18.526712 5.145898 15.000000 7.708204 11.473288 5.145898 12.820372 9.291796 9.293661 11.854102 13.652916 11.854102

备注:

Your answer will be considered correct if its absolute or relative error does not exceed . Formally let your answer be  and jury's answer be . Your answer will be considered correct if .