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.
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
Print the summation of unique weights of all the subarrays for each testcase in a separate line.
Sample Case 1: Since, all integers are distinct within any contiguous subarray, therefore the unique weight will be the summation of lengths of all subarrays. Hence, this sums upto $$5 + 4 * 2 + 3 * 3 + 2 * 4 + 1 * 5 = 35$$