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<HTML><HEAD><TITLE>Scatter Tables</TITLE></HEAD><BODY bgcolor="#FFFFFF"> <a href="../index.html" target="_top"><img src="../icons/usins.gif" alt="Logo" align=right></a><b>Data Structures and Algorithms with Object-Oriented Design Patterns in Python</b><br><A NAME="tex2html3848" HREF="page231.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="../icons/next_motif.gif"></A> <A NAME="tex2html3846" HREF="page205.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="../icons/up_motif.gif"></A> <A NAME="tex2html3840" HREF="page229.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="../icons/previous_motif.gif"></A>  <A NAME="tex2html3850" HREF="page611.html"><IMG WIDTH=43 HEIGHT=24 ALIGN=BOTTOM ALT="index" SRC="../icons/index_motif.gif"></A> <BR><HR><H1><A NAME="SECTION008500000000000000000">Scatter Tables</A></H1><P>The separately chained hash table described in the preceding sectionis essentially a linked-list implementation.We have seen both linked-list and array-based implementationsfor all of the data structures considered so farand hash tables are no exception.Array-based hash tables are called <em>scatter tables</em><A NAME=11407>&#160;</A>.<P>The essential idea behind a scatter table is thatall of the information is stored within a fixed size array.Hashing is used to identify the position where an item should be stored.When a collision occurs,the colliding item is stored somewhere else in the array.<P>One of the motivations for using scatter tables can be seen byconsidering again the linked-list hash table shown in Figure&nbsp;<A HREF="page224.html#fighash1"><IMG  ALIGN=BOTTOM ALT="gif" SRC="../icons/cross_ref_motif.gif"></A>.Since most of the linked lists are empty,much of the array is unused.At the same time, for each item that is added to the table,dynamic memory is consumed.Why not simply store the data in the unused array positions?<P><BR> <HR><UL> <LI> <A NAME="tex2html3851" HREF="page231.html#SECTION008510000000000000000">Chained Scatter Table</A><LI> <A NAME="tex2html3852" HREF="page237.html#SECTION008520000000000000000">Average Case Analysis</A></UL><HR><A NAME="tex2html3848" HREF="page231.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="../icons/next_motif.gif"></A> <A NAME="tex2html3846" HREF="page205.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="../icons/up_motif.gif"></A> <A NAME="tex2html3840" HREF="page229.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="../icons/previous_motif.gif"></A>  <A NAME="tex2html3850" HREF="page611.html"><IMG WIDTH=43 HEIGHT=24 ALIGN=BOTTOM ALT="index" SRC="../icons/index_motif.gif"></A> <P><ADDRESS><img src="../icons/bruno.gif" alt="Bruno" align=right><a href="../copyright.html">Copyright &#169; 2003</a> by <a href="../signature.html">Bruno R. Preiss, P.Eng.</a>  All rights reserved.</ADDRESS></BODY></HTML>

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