A contiguous subarray is defined as unique if all the integers contained within it occur exactly once. There is a unique weight associated with each of the subarray. Unique weight for any subarray equals it's length if it's unique, 0 otherwise. Your task is to calculate the sum of unique weights of all the contiguous subarrays contained within a given array.

Input
First line of the input contains an integer T, denoting the number of testcases.
\(2*T\) lines follow, where first line of each testcase contains an integer N denoting the number of integers in the given array. Last line of each testcase then contains N single space separated integers

Output
Print the summation of unique weights of all the subarrays for each testcase in a separate line.

Constraints

\(1 ≤ T, N ≤ 10^{5}\)
\(0 ≤ A_i ≤ 10^{9}\)
Summation of N for all T does not exceed \(10^{5}\)