-
Notifications
You must be signed in to change notification settings - Fork 38
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
- Loading branch information
Showing
1 changed file
with
5 additions
and
5 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -1,13 +1,13 @@ | ||
See \refFigure{6.1-2}. | ||
See \refFigure{6.2-1}. | ||
\begin{figure}[htb] | ||
\captionsetup[subfigure]{} | ||
\subcaptionbox{\label{fig:6.1-2a}}[0.5\textwidth]{\input{1a.tikz}} | ||
\subcaptionbox{\label{fig:6.1-2b}}[0.5\textwidth]{\input{1b.tikz}} | ||
\subcaptionbox{\label{fig:6.2-1a}}[0.5\textwidth]{\input{1a.tikz}} | ||
\subcaptionbox{\label{fig:6.2-1b}}[0.5\textwidth]{\input{1b.tikz}} | ||
\par\vspace{5mm} | ||
\subcaptionbox{\label{fig:6.1-2c}}[0.5\textwidth]{\input{1c.tikz}} | ||
\subcaptionbox{\label{fig:6.2-1c}}[0.5\textwidth]{\input{1c.tikz}} | ||
\caption{The operation of $\proc{Max-Heapify}(A,3)$ on the array $A=\langle$27, 17, 3, 16, 13, 10, 1, 5, 7, 12, 4, 8, 9, 0$\rangle$, where $\attrib{A}{heap-size}=14$.\, | ||
\textbf{(a)}\, The element $A[3]$ at node $i=3$ violates the max-heap property, since it is not larger than its left child $A[6]$. | ||
\textbf{(b)}\, After exchanging $A[3]$ with $A[6]$ the max-heap property is restored for node 3, but is destroyed for node 6, because now $A[6]$ is not larger than both children. | ||
In the recursive call $\proc{Max-Heapify}(A,6)$ the elements $A[6]$ and $A[13]$ are swapped, as shown in \textbf{(c)}. | ||
The next recursive call $\proc{Max-Heapify}(A,13)$ just returns without making any further changes to the heap.} \label{fig:6.1-2} | ||
The next recursive call $\proc{Max-Heapify}(A,13)$ just returns without making any further changes to the heap.} \label{fig:6.2-1} | ||
\end{figure} |