I need to cаlculate sum of torques about axes, right.

T = ∑F·d = 0, where T is torque, F is vector of force, d is distance from F to center of sphere.

Is it right?

It seems that this problem very simple.
Let F=[v1,F1]+...+[vN,FN]- sum of  moments of forces,
where vi=(cos(fi)cos(hi),cos(fi)sin(fi),sin(fi))- vector
of point and Fi=(cos(qi)cos(zi),cos(qi)sin(zi),sin(qi))-
vector of force Fi.
Let V,G- point and force to be found.
Then we have [V,G]=-F,|G|->min;
We must have V- is normal to F=>V any point on meridian
and G=-[V,F]-calculated after
Thus solution ambiguous  even with demand |G|->min

int russian variant of statement word "engine" in line:
"Next line of input contains krypton engine description"
is written twice

Далее идет информация о работающих криптоновых двигателях двигателях

1 What is the precision of the output required in this problem? There are 8 digits in the text, but only 2 digits in the sample output.

2 It's not clear if it is possible to use the jet thrust less than 1 or more than 100000?

Edited by author 06.10.2005 04:46

Edited by author 14.10.2005 12:02

I think the sample of this problem is incorrect.
My AC program outputs:
0.00000000 0.00000000 270.00000000 0.00000000 156.50000000,
but sample output is oposite to this

P.S. sorry for my poor English..