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📁 Data Structures And Algorithms With Object-Oriented Design Patterns In Python (2003) source code and

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<HTML><HEAD><TITLE>Worst-Case Running Time</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="tex2html6845" HREF="page494.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="../icons/next_motif.gif"></A> <A NAME="tex2html6843" HREF="page492.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="../icons/up_motif.gif"></A> <A NAME="tex2html6837" HREF="page492.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="../icons/previous_motif.gif"></A>  <A NAME="tex2html6847" HREF="page611.html"><IMG WIDTH=43 HEIGHT=24 ALIGN=BOTTOM ALT="index" SRC="../icons/index_motif.gif"></A> <BR><HR><H3><A NAME="SECTION0015431000000000000000">Worst-Case Running Time</A></H3><P>In the worst case the <I>i</I> in Equation&nbsp;<A HREF="page492.html#eqnsortingii"><IMG  ALIGN=BOTTOM ALT="gif" SRC="../icons/cross_ref_motif.gif"></A> is always zero.<A NAME="tex2html902" HREF="footnode.html#37673"><IMG  ALIGN=BOTTOM ALT="gif" SRC="../icons/foot_motif.gif"></A>In this case,we solve the recurrence using repeated substitution like this:<P> <IMG WIDTH=500 HEIGHT=282 ALIGN=BOTTOM ALT="eqnarray37674" SRC="img2048.gif"  ><P>The worst case occurs when the two subsequencesare as unbalanced as they can be--one sequence has all the remaining elementsand the other has none.<P><HR><A NAME="tex2html6845" HREF="page494.html"><IMG WIDTH=37 HEIGHT=24 ALIGN=BOTTOM ALT="next" SRC="../icons/next_motif.gif"></A> <A NAME="tex2html6843" HREF="page492.html"><IMG WIDTH=26 HEIGHT=24 ALIGN=BOTTOM ALT="up" SRC="../icons/up_motif.gif"></A> <A NAME="tex2html6837" HREF="page492.html"><IMG WIDTH=63 HEIGHT=24 ALIGN=BOTTOM ALT="previous" SRC="../icons/previous_motif.gif"></A>  <A NAME="tex2html6847" 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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