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
enkhamar324: 2020-08-07 07:09:30

I'm a fag

Last edit: 2020-08-07 09:21:43
faraday_vij: 2020-05-24 10:04:53

c++14 is giving error where as c++ 4.3.2 giving accepted directly!!

kamina01: 2020-04-27 16:36:31

solve using determinant.....

sourav1768: 2019-12-31 17:34:56

Rounding off took some time...

angrypig298: 2019-06-26 06:12:09

have the same problem with hritwik.
WA with c++14.
AC with c++(g++4.x.x)

hritwik: 2019-03-21 18:12:03

holy shit!
submitted the same solution for c++14 and c++(g++4.x.x),
got WA every single time for c++14
AC in one go for c++(g++4.x.x),

scolar_fuad: 2019-03-11 07:53:36

I am new in binary search please give me any idea to use binary search

khanhbe: 2018-12-27 09:51:12

.

shivamyadav00: 2018-10-19 20:45:19

thanks @sy_117 for the formula :)

yuhta: 2018-10-11 23:50:39

Use long double


Added by:Adam Dzedzej
Date:2004-05-14
Time limit:1s
Source limit:10000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource:ACM ICPC 2002-2003 NEERC, Northern Subregion