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##### Submissions: 9816   Accuracy: 42.47%   Difficulty: Easy   Marks: 2

In a given array A[] find the maximum value of (A[i] – i) - (A[j] – j) where i is not equal to j.

i and j vary from 0 to n-1 and N is size of input array A[].  Value of N is always greater than 1.

Input:

The first line of input contains a single integer T denoting the number of test cases. Then T test cases follow. Each test case consist of two lines. The first line of each test case consists of an integer N, where N is the size of array.The second line of each test case contains N space separated integers denoting array elements.

Output:

Corresponding to each test case, in a new line, print the maximum value.

Constraints:
1 ≤ T ≤ 30
2 ≤ N ≤ 105
1 ≤ A[i] ≤ 105

Example:
Input

2
5
9 15 4 12 13
4
3 1 2 4

Output
12
3

Explanation
(a[1]-1) - (a[2]-2) = (15-1)-(4-2) = 12

#### ** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Shivam Gupta
Author: rajatjha

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