Given an array with repeated elements, the task is to find the maximum distance between two occurrences of an element.

Input:

The first line of input will contain no of test cases T . Then T test cases follow . Each test case contains 2 lines. The first line of each test case contains an integer N denoting the number of elements in the array, the next line contains N space separated integer's.

Output:

For each test case in new line print the Maximum distance between two occurrences of an element

Constraints:

1<=T<=100

1<=N<=1000

Example:

Input

2
6
1 1 2 2 2 1
12
3 2 1 2 1 4 5 8 6 7 4 2

Output

5
10

Explanation

Test case 1: 
arr[] = {1, 1, 2, 2, 2, 1}
Max Distance: 5
Distance for 1 is: 5-0 = 5
Distance for 2 is : 4-2 = 2
Max Distance 5

Test case 2:
arr[] = {3, 2, 1, 2, 1, 4, 5, 8, 6, 7, 4, 2}
Max Distance 10
maximum distance for 2 is 11-1 = 10
maximum distance for 1 is 4-2 = 2
maximum distance for 4 is 10-5 = 5

Note:The Input/Ouput format and Example given are used for system's internal purpose, and should be used by a user for Expected Output only. As it is a function problem, hence a user should not read any input from stdin/console. The task is to complete the function specified, and not to write the full code.