## Smallest Real Number

Let \(A\) be the smallest real number such that \( \frac{p^2+2q^2}{pq} \geq A\) for all positive integers \(p\) and \(q\).

Let \(B\) be the smallest real number such that \( \frac{p^5+2q^5+3r^5+4s^5+5t^5}{pqrst} \geq B\) for all positive integers \(p\), \(q\), \(r\), \(s\), and \(t\).

Part A | What are the \(6\) digits immediately to the right of the decimal point of \(A\)? | |
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Part B | What are the \(6\) digits immediately to the right of the decimal point of \(B\)? |