Exams are approaching soon and everyone tries to get ready for them. So, Omar decides to begin studying his subjects. He has N subjects and he wants to study M of them today. According to Omar, every subject has an interest level, \(A_i\) which indicates how much Omar likes that subject. Unfortunately, Omar feels bored easily, so he decides to choose a collection of interesting and boring subjects. Actually, Omar wants to choose M subjects such that the summation S of the absolute difference between every two adjacent subjects' interest levels is maximum as possible. Omar will put the selected M subjects in a group in the same order as described in the input, and then he will proceed to calculate S.

Please help Omar and rescue him from boredom

Input:

First line of the input contains an integer T denoting the number of test cases.
First line of every test-case contains two space separated integers N and M.
Second line of every test case contains N space separated integers \(A_i\) denoting the interest level for \(i^{th}\) subject.

*Output: *

For each case, print the above described S in a separate line.

Constraints:

• \(1 \le N \le 100\).
• \(1 \le M \le N\).
• \(1 \le A_i \le 10^{9}\)