CF571B Minimization

Description

You've got array $ A $ , consisting of $ n $ integers and a positive integer $ k $ . Array $ A $ is indexed by integers from $ 1 $ to $ n $ . You need to permute the array elements so that value ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF571B/74275c71e404f8e7fe1cae2f08e7a067764084b1.png) became minimal possible. In particular, it is allowed not to change order of elements at all.

Input Format

The first line contains two integers $ n,k $ ( $ 2

Output Format

Print the minimum possible value of the sum described in the statement.

Explanation/Hint

In the first test one of the optimal permutations is $ 1 4 2 $ . In the second test the initial order is optimal. In the third test one of the optimal permutations is $ 2 3 4 4 3 5 $ .