Is it dissolvable! sorry divisible -part 2!

The integers \(a,b\) are selected from \(5n\) consecutive integers: \({1,2,3,4, \ldots, 5n-1,5n}\). Find the sum of the digits of number of unordered ways can these integers be selected , such that \(a^2-b^2\) is divisible by 5 when \(n=100\).

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