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81 changes: 81 additions & 0 deletions Pseudocode/Trees/Symmetric Trees/SourceCode.tex
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% Set the Page Layout
\documentclass[12pt]{article}
\usepackage[inner = 2.0cm, outer = 2.0cm, top = 2.0cm, bottom = 2.0cm]{geometry}

% Package to put url
\usepackage{url}

% Package to write pseudo-codes
\usepackage{algorithm}

% Remove the 'end' at the end of the algorithm
\usepackage[noend]{algpseudocode}

% Define Left Justified Comments
\algnewcommand{\LeftComment}[1]{\Statex \(\triangleright\) #1}

% Remove the Numbering of the Algorithm
\usepackage{caption}
\DeclareCaptionLabelFormat{algnonumber}{Algorithm}
\captionsetup[algorithm]{labelformat = algnonumber}

\begin{document}

\begin{algorithm}

\caption{Symmetric Trees: Mirror Image of Itself}

\begin{algorithmic}[1]
\Require A Binary Tree
\Statex

\Function{Is\_Symmetric}{$root$}
\LeftComment{Iterative approach using a queue}
\LeftComment {Assume createEmptyQueue(), enqueue(), dequeue() and isEmpty() are functions that perform queue operations}

\Statex

\If{$root$ is $NULL$}
\State \textbf{return} $true$
\EndIf

\State queue $\gets$ \textsc{createEmptyQueue}()
\State \textsc{enqueue}$(queue, root)$
\State \textsc{enqueue}$(queue, root)$

\While{\textbf{not} $\textsc{isEmpty}(queue)$}
\State $leftNode$ $\gets$ $\textsc{dequeue}(queue)$
\State $rightNode$ $\gets$ $\textsc{dequeue}(queue)$

\If{$leftNode$ \textbf{is} $NULL$ \textbf{and} $rightNode$ \textbf{is} $NULL$}
\State \textbf{continue}
\EndIf

\If{$leftNode$ \textbf{is} $NULL$ \textbf{or} $rightNode$ \textbf{is} $NULL$}
\State \textbf{return} $false$
\EndIf

\If{$leftNode.data$ $\neq$ $RightNode.data$}
\State \textbf{return} $false$
\EndIf

\State \textsc{enqueue}$(queue, leftNode.left)$
\State \textsc{enqueue}$(queue, rightNode.right)$
\State \textsc{enqueue}$(queue, leftNode.right)$
\State \textsc{enqueue}$(queue, rightNode.left)$

\EndWhile
\State \textbf{return} $true$

\EndFunction
\end{algorithmic}

\end{algorithm}

\section{References}
\begin{enumerate}
\item \url{https://www.geeksforgeeks.org/symmetric-tree-tree-which-is-mirror-image-of-itself/}
\item \url{https://aaronice.gitbook.io/lintcode/trees/symmetric-tree}
\end{enumerate}

\end{document}