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7.4: TODO

  • Page ID
    49313
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

     Merge-heap: it would take two max/min heap and merge them and return a single heap. O(n) time.
     Make-heap: it would also be nice to describe the O(n) make-heap operation
     Heap sort: the structure can actually be used to efficiently sort arrays
    

    Make-heap would make use a function heapify

    //Element is a data structure//
       Make-heap(Element Arr[],int size) 
       {
           for(j=size/2;j>0;j--)
               {
                   Heapify(Arr,size,j);
               }
       }
    
       Heapify(Element Arr[],int size,int t)
       {
           L=2*t;
           R=2*t+1;
           if(L<size )
           {
               mix=minindex(Arr,L,t);
               if(R<=size)
                   mix=minindex(Arr,R,mix);
           }
           else
               mix=t;
           if(mix!=t)
           {
               swap(mix,t);
               Heapify(Arr,size,mix);
           }
       }
    

    minindex returns index of the smaller element


    This page titled 7.4: TODO is shared under a CC BY-SA license and was authored, remixed, and/or curated by Wikibooks - Data Structures (Wikipedia) .

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