Given an array A[ ] your task is to complete the function **max_val** which finds the maximum value of abs(i – j) * min(arr[i], arr[j]) where i and j vary from 0 to n-1.

**Input:**

The first line of input contains an integer T denoting the no of test cases then T test cases follow. Each test case contains 2 lines. The First line of each test case contains an integer N denoting the size of the array. In the next line are N space separated values of the array A[ ] .

**Output:**

For each test case in a new line output will be the max values obtained.

**Constraints:**

1<=T<=100

1<=N<=100

-100<=A[]<=1000

**Example(To be used only for expected output):
Input**

2

4

3 2 1 4

4

8 1 9 4

9

16

(i) For the first test case a[0] = 3 and a[3] = 4 and thus result is abs(0-3)*min(3,4) = 9.

(ii) For the second test ase a[0]=8 and a[2]=9 thus result is abs(0-2)*min(8,9) = 16.

Author: Shubham Joshi 1

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