Hi all,

Hope you are all safe with the unfortunate events occurring throughout the world.

I was solving some problems on HackerEarth's CodeArena platform (1v1 other person, 1 problem, 20 mins, who ever gets more TCs wins) , when I came across this problem (the contest has ended). I have attached the screenshot of the statement to this post.

I first attempted to use combinatorics and math to solve it, but later changed to applying DP. However, I couldn't figure out a recurrence between the states (# of objects, # of groups).

I would really appreciate it if someone could lend a helping hand with the recurrence. Also, IF there is an easy mathematical solution to the problem, please share it.

Thanks for your help and time! BC

EDIT: Sorry, I assumed that the 'Add Image' feature automatically appended the image to the post. Attached below is the image.

Sample TC: Input: 4 2

Output 3