Sum of Squares of Unique Values

You are given a set of keys, each associated with a list of integers. For each key, compute the sum of the squares of the unique integers present in its list. The square of a number is expressed as $x^2$.

The input begins with an integer $K$, representing the number of keys. Following this, for each key, there are three inputs: a string key, an integer $N$ denoting the number of integers for that key, and a line of $N$ space-separated integers. If $N=0$, the corresponding line for integers will be empty.

Output each key and its computed sum in the format key: result on a separate line, preserving the order of the keys as given in the input.

inputFormat

The first line contains an integer $K$, the number of keys. For each key, the following three lines are provided:
1. A string representing the key.
2. An integer $N$ indicating the number of integers in the list.
3. A line with $N$ space-separated integers (this line will be empty if $N$ is 0).

outputFormat

For each key, print a line in the format key: result, where result is the sum of the squares of all unique integers associated with that key.## sample

3
a
4
1 2 2 4
b
3
2 3 3
c
3
4 4 4

a: 21
b: 13
c: 16