13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T76f,

Given an array $$$a$$$ of $$$n$$$ elements, find the maximum value of the expression:

$$$$$$|a_i - a_j| + |a_j - a_k| + |a_k - a_l| + |a_l - a_i|$$$$$$

where $$$i$$$, $$$j$$$, $$$k$$$, and $$$l$$$ are four distinct indices of the array $$$a$$$, with $$$1 \le i, j, k, l \le n$$$.

Here $$$|x|$$$ denotes the absolute value of $$$x$$$.

Input

The first line contains one integer $$$t$$$ ($$$1 \le t \le 500$$$) — the number of test cases. The description of the test cases follows.

The first line of each test case contains a single integer $$$n$$$ ($$$4 \le n \le 100$$$) — the length of the given array.

The second line of each test case contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$-10^6 \le a_i \le 10^6$$$).

Output

For each test case, print a single integer — the maximum value.

Too Min Too Max

Examples