The galactic map.
(some lost in space back story here, will get chatbot to generate)
(data is newly generated at each refresh.)
Your spaceship and crew decides to investigate a strange signal coming from the asteroid CROSS.
On the astroid there is an abandoned ruin with a strange ancient computer terminal, showing all
the stars in some galaxy, as well as the directions these stars are moving towards.
It appears all the stars in this galaxy lie on a plane. It is a planar galaxy.
It also shows the galactic core at the center in blue.
The ancient computer terminal gives the following information for each star:
x,y,vx,vy,m
(1) where (x,y) is the star's current location (in galactic units), with the galactic core at (0,0);
(2) where (vx,vy) is the star's current velocity vector (each component in galactic units per year);
(3) and m is the star's mass (in units of solar mass).
The data is tabulated below, where the first line contains above information for the first star, the second
line contains above information for the second star, etc.
When trying to access the ancient computer further, it asks you the following:
With respect to the galactic core, how many stars are rotating about the core counterclockwise?
And how many clockwise? Note, it is also possible for a star to be not rotating about the core,
if it is stationary or moving along a ray fom the core.
Find the (absolute) difference between the number of stars going counterclockwise and clockwise
about the galactic core. And enter this difference here.
(part 1)
* * * part 2 * * *
Having successfully answered the ancient computer query's, it now reveals its intent.
The ancient computer terminal tells you it detects an imbalance in this galaxy, that the center of mass
of all the stars are not quite at the galactic core (origin). In order to restore balance, the computer
decided to blow up (remove) one of the stars so that the overall center of mass is as close to the galactic core
as possible.
Knowing this, you need to act quickly to determine which star the computer is blowing up, so you may have a chance
to warn any lifeform living in that star system!
In the following list of stars (first one being star number 1, second being star number 2, etc), which star number
is the computer going to blow up?
Enter your answer here.
(part 2)