Problem: Minimum Sum of Absolute Differences in Subsequences
Description:
Given an array of length N (where 1≤N≤1e5) and an integer k (where 1≤k≤50), find the minimum possible value of the sum of absolute differences of adjacent elements for all subsequences of length k.
Mathematically, for a subsequence {ai1,ai2,…,aik} where i1<i2<…<iki1<i2<…<ik, we need to minimize the value of:
