PIR  Pyramids
Recently in Farland, a country in Asia, the famous scientist Mr. Log Archeo discovered ancient pyramids. But unlike those in Egypt and Central America, they have a triangular (not rectangular) foundation. That is, they are tetrahedrons in the mathematical sense. In order to find out some important facts about the early society of the country (it is widely believed that the pyramid sizes are closely connected with Farland's ancient calendar), Mr. Archeo needs to know the volume of the pyramids. Unluckily, he has reliable data about their edge lengths only. Please, help him!
Input
t [number of tests to follow] In each of the next t lines six positive integer numbers not exceeding 1000 separated by spaces (each number is one of the edge lengths of the pyramid ABCD). The order of the edges is the following: AB, AC, AD, BC, BD, CD.
Output
For each test output a real number  the volume, printed accurate to four digits after decimal point.
Example
Input: 2 1 1 1 1 1 1 1000 1000 1000 3 4 5 Output: 0.1179 1999.9937
hide comments
thanujasoma18:
20240713 11:40:53
why i am getting eof error 

heraclitus22:
20240128 08:42:55
had to use long doubles otherwise getting wrong answer with mere double. need to reformulate in numerically superior format later.


vahe13:
20230810 19:41:34
cool 

khangai7:
20221103 07:45:15
cat big 

cmrec541:
20211029 11:21:57
@zeesh_0 : AC in one go 

zeesh_0:
20211029 11:20:43
Guys, Order is extremely important!


Henrique:
20211002 01:36:12
Test input does not contain decimal numbers, as some people suggested. It's possible to confirm this by parsing it with python's int() function, which would raise an exception and return a nonzero exit code (NZEC) as the wrong answer. Using int() does not raise an exception, so there are only integer inputs.


faraday_vij:
20200524 10:04:53
c++14 is giving error where as c++ 4.3.2 giving accepted directly!! 

kamina01:
20200427 16:36:31
solve using determinant..... 

sourav1768:
20191231 17:34:56
Rounding off took some time... 
Added by:  Adam Dzedzej 
Date:  20040514 
Time limit:  1s 
Source limit:  10000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL6 VB.NET 
Resource:  ACM ICPC 20022003 NEERC, Northern Subregion 