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I have to find the number of integer prime powers. Note that q is a prime but x0 and x1 do not have to be

I have to find the number of integer prime powers. Note that q is a prime but x0 and x1 do not have to be prime. I think I have to break it up into smaller counting problems, such as doing stars and bars and Principle of Inclusion and Exclusion

1 ) Give a detail derivation of the counts for the number of integer prime powers of q E P for which 2 1 subject to 2

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