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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つ ◕_◕ ༽つ GIFF AC:
20111018 17:11:27
yeah case 2 area is wrong, should be .797


bashrc is back:
20110704 11:31:15
@prab are you printing new line after every case?I got 3 WA's coz of dat 

__Pra:
20110312 09:04:24
well my formula is correct but i'm getting different area ..even from scientif calc for case 2!! 

Lewin Gan:
20100425 20:22:25
Of course this can be done in java, it's just plugging numbers into a formula: O(1) time 
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 