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
e_coder:
20150615 16:58:21
there is no blank line... :D 

Luk:
20150318 13:20:16
I do not understand.


HITESH GARG:
20150113 14:39:46
not an easy one 

agaurav77:
20141212 12:21:43
Don't forget the newline. 

gamer496:
20141203 15:41:36
http://en.wikipedia.org/wiki/Tetrahedron


Kid Algorist:
20141003 21:10:19
Keep data types of edges and all variables storing such values as double. Edges in test cases aren't just integers, WA otherwise. 

(Tjandra Satria Gunawan)(æ›¾æ¯…æ˜†):
20130822 04:11:28
Solved all problem in main SPOJ problemset with more than 2000 solver ;) 

Federico LebrÃ³n:
20130410 03:48:18
Be careful, the input contains needless empty lines  this was causing a runtime error in my program. 

albertg:
20130118 08:25:34
Interesing problem...

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 