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A15491 | Another Array Problem

时间限制1s
内存限制256MB
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题目描述

You are given an array $a$ of $n$ integers. You are allowed to perform the following operation on it as many times as you want (0 or more times):

- Choose $2$ indices $i$ , $j$ where $1 \le i < j \le n$ and replace $a_k$ for all $i \leq k \leq j$ with $|a_i - a_j|$

Print the maximum sum of all the elements of the final array that you can obtain in such a way.

输入格式

The first line contains a single integer $t$ ( $1 \le t \le 10^5$ ) — the number of test cases.

The first line of each test case contains a single integer $n$ ( $2 \le n \le 2 \cdot 10^5$ ) — the length of the array $a$ .

The second line of each test case contains $n$ integers $a_1, a_2, \ldots, a_n$ ( $1 \le a_i \le 10^9$ ) — the elements of array $a$ .

It's guaranteed that the sum of $n$ over all test cases does not exceed $2 \cdot 10^5$ .

输出格式

For each test case, print the sum of the final array.

输入输出样例

输入 #1
3
3
1 1 1
2
9 1
3
4 9 5
输出 #1
3
16
18
C++ 编辑器
输入
输出