Square the Square #4th power

If \(n\) is a perfect square, and \({ n }^{ 2 }\equiv k(mod\quad 10)\) what is the sum of all the possible values of \(k\) and the number of values of \(k\)

Example: Suppose \(k\) has \(2\) values, \(3\) and \(4\). Then the answer would be \(2+3+4=9\)

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