Question

Given the following list: A={8,20,1,17,25,6,77,16,15} What is ⟨p(n),q(n)⟩ with no preprocessing?

Answer 1

Given a list of numbers, ⟨p(n),q(n)⟩ refers to the position of the nth smallest element in the list. To find p(n) and q(n) with no preprocessing, sort the list in ascending order and identify the element at position n.

Step-by-step explanation:

Given the list A={8,20,1,17,25,6,77,16,15}, ⟨p(n),q(n)⟩ refers to the position of the nth smallest element in the list. With no preprocessing, we can find the value of p(n) and q(n) by sorting the list in ascending order and identifying the element at position n.

For example, let's find ⟨p(5),q(5)⟩:

1. Sort the list in ascending order: {1,6,8,15,16,17,20,25,77}
2. p(5) is the 5th smallest element, which is 16
3. q(5) is 1 - p(5), which is 1 - 16 = -15

So, ⟨p(5),q(5)⟩ is ⟨16, -15⟩.