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<H1>Find</H1>
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(algorithm)

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<strong>Definition:</strong>
An algorithm to select the k<sup>th</sup> smallest element of an array and <a href="partition.html" tppabs="http://hissa.nist.gov/dads/HTML/partition.html"><em>partition</em></a> the array around it.  It first partitions around the value of the k<sup>th</sup> element.  If the split is not at element k, it moves the upper or lower boundary and partitions again.
<P><strong>See also</strong>
<a href="selectnpart.html" tppabs="http://hissa.nist.gov/dads/HTML/selectnpart.html"><em>select and partition</em></a>, <a href="modifind.html" tppabs="http://hissa.nist.gov/dads/HTML/modifind.html"><em>MODIFIND</em></a>.
<P><em>Note:
This does more swaps than MODIFIND.  C. A. R. Hoare, "Algorithm 65, Find," CACM, vol 4, no 7, July 1961, page 321.  Proof of correctness: C. A. R. Hoare, "Proof of a Program: FIND," CACM, vol 14, no 7, January 1971, pages 39-45.</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>
<H2>Implementation</H2>
<A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.geocities.com/SiliconValley/Garage/3323/3alg.html  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.geocities.com/SiliconValley/Garage/3323/3alg.html'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.geocities.com/SiliconValley/Garage/3323/3alg.html">analysis and comparison (Rexx)</A>

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&nbsp;(<a href="mailto:paul.black@nist.gov">paul.black@nist.gov</a>).

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Entry modified Wed Apr 14 14:40:47 1999.<BR>
HTML page formatted Wed Dec 22 09:35:20 1999.

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