Given an array. Write a program to calculate the sum of lengths of contiguous subarrays having all distinct elements.

Input:
First line of input contains a single integer T which denotes the number of test cases. Then T test cases follows. First line of each test case contains a single integer N which denotes the number of elements in the array. Second line of each test case contains N space separated integers.
Output:
For each test case, print the sum of lengths of contiguous subarrays having all distinct elements.

Constraints:
1<=T<=100
1<=N<=10⁵

Example:
Input:
3
3
1 2 3
3
1 2 1
4
1 2 3 4
Output:
10
7
20

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