I was asked this problem in Bytedance OA.

N points are given on a line and K special points can be setup anywhere. You have to find the sum of shortest distances for each point to any special point. I know a solution like grouping points, and then for each group, sum of distances to their median, but it didn't work that time. I am thinking some DP but unable to figure out.

Constraints are N, K <= 100

Coordinates of points 1 <= C[i] <= 10^4.

What is the problem with brute force $$$O(NK)$$$?

This is kind of some similar stuff.

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1283Dhttps://codeforces.com/contest/1283/problem/D