MathDB
Giving candies

Source: Malaysian SST 2024 P3

September 5, 2024
combinatorics

Problem Statement

Given nn students in the plane such that the n(n1)2\frac{n(n-1)}{2} distances are pairwise distinct. Each student gives a candy each to the kk students closest to him. Given that each student receives the same amount of candies, determine all possible values of nn in terms of kk.
Proposed by Wong Jer Ren