Let \(A\) denote the sum of all integers whose square is a 4 digit number;

\(B\) denote the sum of all natural numbers below 100;

\(C\) denote the sum of all integers less than 1000 which can be expressed as a perfect 100th power.

Evaluate \( \frac {A+B}{C} + \frac {A+C}{B} \).

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