10b - TreesSlides

# 17 as a subtree is also a tree so the subtree of a

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: a heap must also be a heap. As the largest value must be at the root, this structure is the most efficient way of storing a priority queue. We are only interested in the highest priority, provided that when the root is removed, the heap can be remade efficiently. 3 4 0 8 9 5 6 3 4 0 8 9 5 6 We need only the exact number need only the exact number of array elements. Here's how we make a heap: Step 1: build a balanced binary tree from the data – not a search tree. In fact we just put the values directly into the tree In fact, we just put the values directly into the tree (in (in consecutive elements of the array). Consider the values 3, 4, 0, 8, 9, 5, 6 3 4 0 8 9 5 6 3 4 0 8 9 5 6 We know where the last parent is. know where the last parent is. If there are n values, the last child is at n-1, so nlast = (n-2)/2 nlast (n- Consider the values Step 2: Rearrange the contents into a heap. 3, 4, 0, 8, 9, 5, 6 Step 2: Rearrange the contents into a heap. We start at the bottom, making each subtree a heap. Let's use a slig...
View Full Document

## This document was uploaded on 04/07/2014.

Ask a homework question - tutors are online