TRICENTR  Triangle From Centroid
Given the length of side a of a triangle and the distances from the centroid (the point of concurrence of the medians  red in the picture) to all sides: a, b and c, calculate this triangle's area and the distance (blue line) from the orthocenter (the point of concurrence of the heights  green in the picture) to the centroid.
Input
In the first line integer n  the number of test cases (equal to about 1000). The next n lines  4 floating point values: the length of side a, and distances from the centroid to sides a, b and c.
Output
n lines consisting of 2 floating point values with 3 digits after the decimal point: the area of the triangle and the distance from the orthocenter to centroid.
Example
Input: 2 3.0 0.8660254038 0.8660254038 0.8660254038 657.8256599140 151.6154399062 213.5392629932 139.4878846649 Output: 3.897 0.000 149604.790 150.275
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akhilb913:
20170227 08:40:02
Finally!! 

aexpo:
20160625 08:50:01
AC :)


chandanak:
20151024 15:20:53
The solutions of this problem are not right . The person who framed the problem seems to have rounded off values somewhere in the intermediary steps . My answers for the sample input are : 149604.781 150.274


puntu:
20150911 18:37:28
though i am getting the correct answer in my ide but i think the rounding off trchnique followed by them and my ide i different, so they r giving me W/A.


puntu:
20150911 18:36:21
apply that the distance from the centroid to the orthocentre is twice that of the distance from the centroid to the circumcentre. so challenge is to calculate the distance from the centroid to the circumcentre.


dushyant_bgs:
20150902 11:20:04
Aren't the conditions


Anushka:
20150702 13:42:48
Is there any straight formula to calculate distance between centroid and orthocentre?? I googled up a formula but it is giving wrong answer 

ASHUTOSH DWIVEDI:
20150528 21:30:39
@ Harunur Rashid As the perpendicular distance is given from centroid


Ruffneck:
20141111 01:24:56
maths maths maths 

Harunur Rashid:
20140818 22:36:53
b=a*ga/gb;

Added by:  Patryk Pomykalski 
Date:  20040522 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL6 VB.NET 