Surveyor Jiyoon

Jiyoon drew three lines and wants to know the area of the triangle formed by them. Each line is given in the form ax + by + c = 0, where a, b, and c are integers. If the three lines form one triangle, output its area. If they do not form a triangle, output 0.

The first line contains the number of test cases T. For each test case, three lines follow. Each of those lines contains integers a, b, and c, representing a line ax + by + c = 0. -1,000 <= a, b, c <= 1,000

For each test case, print one line containing the area of the triangle formed by the three lines, rounded to four digits after the decimal point. If a triangle cannot be formed, print 0.0000.