Arithmetic Expression Binary Tree: Difference between revisions

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(Created page with "{{DISPLAYTITLE:Arithmetic Expression Binary Tree (AST to Code Translation)}} == Description == Translate a given arithmetic expression binary tree into machine-readable code that uses as few registers as possible. == Related Problems == Related: AST to Code Translation == Parameters == <pre>$n$: number of nodes in the tree</pre> == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name !! Year !! Time !! Space...")
 
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== Parameters ==  
== Parameters ==  


<pre>$n$: number of nodes in the tree</pre>
$n$: number of nodes in the tree


== Table of Algorithms ==  
== Table of Algorithms ==  
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|}
|}


== Time Complexity graph ==  
== Time Complexity Graph ==  


[[File:AST to Code Translation - Arithmetic Expression Binary Tree - Time.png|1000px]]
[[File:AST to Code Translation - Arithmetic Expression Binary Tree - Time.png|1000px]]
== Space Complexity graph ==
[[File:AST to Code Translation - Arithmetic Expression Binary Tree - Space.png|1000px]]
== Pareto Decades graph ==
[[File:AST to Code Translation - Arithmetic Expression Binary Tree - Pareto Frontier.png|1000px]]

Latest revision as of 09:10, 28 April 2023

Description

Translate a given arithmetic expression binary tree into machine-readable code that uses as few registers as possible.

Related Problems

Related: AST to Code Translation

Parameters

$n$: number of nodes in the tree

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Sethi–Ullman Algorithm 1970 $O(n)$ $O({1})$ Exact Deterministic Time

Time Complexity Graph

AST to Code Translation - Arithmetic Expression Binary Tree - Time.png