distances between monochromatic points on a line
Source: ARO Regional stage 2023 10.9
February 16, 2023
combinatoricsRussia
Problem Statement
Given is a positive integer . There are points chosen on a line, such the distance between any two adjacent points is the same. The points are colored in colors. For each pair of monochromatic points such that there are no points of the same color between them, we record the distance between these two points. If all distances are distinct, find the largest possible .