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
sourav1768:
20191231 17:34:56
Rounding off took some time... 

angrypig298:
20190626 06:12:09
have the same problem with hritwik.


hritwik:
20190321 18:12:03
holy shit!


scolar_fuad:
20190311 07:53:36
I am new in binary search please give me any idea to use binary search 

khanhbe:
20181227 09:51:12
. 

shivamyadav00:
20181019 20:45:19
thanks @sy_117 for the formula :) 

yuhta:
20181011 23:50:39
Use long double 

teja876__:
20181004 10:04:54
AC in one go.


shepix:
20180813 14:12:37
The main difficulty is to avoid numerical error during computation. 

piyush490:
20180611 15:21:31
use formulae. 
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 