$n$ points on a line, distance <1
Source: 2022 Grosman Mathematical Olympiad P7
September 22, 2022
combinatoricscombinatorics unsolved
Problem Statement
Let be two positive integers. points are marked on a line. It is known that for each marked point, the number of marked points at a distance from it (including the point itself) is divisible by .
Show that divides (without remainder).