303
MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C50B8E.FB75F380" This document is a Web archive file. If you are seeing this message, this means your browser or editor doesn't support Web archive files. For more information on the Web archive format, go to http://officeupdate.microsoft.com/office/webarchive.htm ------=_NextPart_01C50B8E.FB75F380 Content-Location: file:///C:/1E8269F5/lec9.5.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" <html xmlns:v=3D"urn:schemas-microsoft-com:vml" xmlns:o=3D"urn:schemas-microsoft-com:office:office" xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint" xmlns:oa=3D"urn:schemas-microsoft-com:office:activation" xmlns=3D"http://www.w3.org/TR/REC-html40"> <head> <meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"> <meta name=3DProgId content=3DPowerPoint.Slide> <meta name=3DGenerator content=3D"Microsoft PowerPoint 10"> <link rel=3DFile-List href=3D"lec9.5_files/filelist.xml"> <link rel=3DPreview href=3D"lec9.5_files/preview.wmf"> <link rel=3DEdit-Time-Data href=3D"lec9.5_files/editdata.mso"> <link rel=3DOLE-Object-Data href=3D"lec9.5_files/oledata.mso"> <title>Searching</title> <!--[if gte mso 9]><xml> <o:DocumentProperties> <o:Author>iu</o:Author> <o:Template>Pixel</o:Template> <o:LastAuthor>Creative</o:LastAuthor> <o:Revision>15</o:Revision> <o:TotalTime>344</o:TotalTime> <o:Created>2001-06-28T03:37:38Z</o:Created> <o:LastSaved>2005-02-05T08:58:38Z</o:LastSaved> <o:Words>699</o:Words> <o:PresentationFormat>On-screen Show</o:PresentationFormat> <o:Bytes>359100</o:Bytes> <o:Paragraphs>158</o:Paragraphs> <o:Slides>19</o:Slides> <o:Notes>1</o:Notes> <o:Version>10.2625</o:Version> </o:DocumentProperties> <o:OfficeDocumentSettings> <o:PixelsPerInch>80</o:PixelsPerInch> </o:OfficeDocumentSettings> </xml><![endif]-->

Lec10

Embed Size (px)

DESCRIPTION

 

Citation preview

Page 1: Lec10

MIME-Version: 1.0Content-Type: multipart/related; boundary="----=_NextPart_01C50B8E.FB75F380"

This document is a Web archive file. If you are seeing this message, this means your browser or editor doesn't support Web archive files. For more information on the Web archive format, go to http://officeupdate.microsoft.com/office/webarchive.htm

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link rel=3DFile-List href=3D"lec9.5_files/filelist.xml"><link rel=3DPreview href=3D"lec9.5_files/preview.wmf"><link rel=3DEdit-Time-Data href=3D"lec9.5_files/editdata.mso"><link rel=3DOLE-Object-Data href=3D"lec9.5_files/oledata.mso"><title>Searching</title><!--[if gte mso 9]><xml> <o:DocumentProperties> <o:Author>iu</o:Author> <o:Template>Pixel</o:Template> <o:LastAuthor>Creative</o:LastAuthor> <o:Revision>15</o:Revision> <o:TotalTime>344</o:TotalTime> <o:Created>2001-06-28T03:37:38Z</o:Created> <o:LastSaved>2005-02-05T08:58:38Z</o:LastSaved> <o:Words>699</o:Words> <o:PresentationFormat>On-screen Show</o:PresentationFormat> <o:Bytes>359100</o:Bytes> <o:Paragraphs>158</o:Paragraphs> <o:Slides>19</o:Slides> <o:Notes>1</o:Notes> <o:Version>10.2625</o:Version> </o:DocumentProperties> <o:OfficeDocumentSettings> <o:PixelsPerInch>80</o:PixelsPerInch> </o:OfficeDocumentSettings></xml><![endif]--><link rel=3DPresentation-XML href=3D"lec9.5_files/pres.xml"><meta name=3DDescription content=3D"2/5/2005: Quick Sort"><meta http-equiv=3Dexpires content=3D0><![if !ppt]><script><!--

var ver =3D 0, appVer =3D navigator.appVersion, msie =3D appVer.indexOf( "=MSIE " )

var msieWin31 =3D (appVer.indexOf( "Windows 3.1" ) >=3D 0), isMac =3D (app=Ver.indexOf("Macintosh") >=3D 0)

if( msie >=3D 0 )ver =3D parseFloat( appVer.substring( msie+5, appVer.indexOf ( ";",

msie =) ) )

Page 2: Lec10

elsever =3D parseInt( appVer )

browserSupported=3D0if( !isMac && ver >=3D 4 && msie >=3D 0 ) {

browserSupported=3D1window.location.replace(

'lec9.5_files/frame.htm'+document.location.hash )}

//--></script><![endif]></head>

<body><script><!--

if( browserSupported )document.writeln('<div style=3D"visibility:hidden">');

//--></script><font face=3DArial size=3D2><b>

<p>This presentation contains content that your browser may not be able to =showproperly. This presentation was optimized for more recent versions of Micro=softInternet Explorer.</p>

<p>If you would like to proceed anyway, click <a href=3D"lec9.5_files/frame=.htm">here</a>.</p>

</b></font><script><!--

if( browserSupported )document.writeln('</div>');

//--></script></body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/master12.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\master12.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DRobots content=3DNoIndex><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><script src=3Dscript.js></script><script>

Page 3: Lec10

<!--parent.location.href=3Ddocument.all.item("Main-File").href

//--></script><![endif]></head>

<body>

<div v:shape=3D"_x0000_s132098" class=3DO style=3D'text-align:center;mso-ch=ar-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:Arial;font-size:50%;mso-field-code:meta15'>&#8249;footer&#8250;</span><span style=3D'font-famil=y:Arial;font-size:50%;mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s132099" class=3DO style=3D'text-align:right;mso-cha=r-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:"Arial Black";font-siz=e:50%;mso-field-code:meta16'>&#8249;#&#8250;</span><span style=3D'font-family=:"Arial Black";font-size:50%;mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s132101" class=3DO style=3D'text-align:center;mso-ch=ar-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s132102" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s132103" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:Arial;font-size:75%;color:#666699;mso-color-i=ndex:6;mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s132104" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:Arial;font-size:75%;color:#666699;mso-color-i=ndex:6;mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s132105" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:Arial;font-size:75%;color:#9999CC;mso-color-i=ndex:5;mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s132106" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:Arial;font-size:75%;color:#666699;mso-color-i=ndex:6;mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s132107" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s132108" class=3DO style=3D'mso-char-wrap:1;mso-kins=

Page 4: Lec10

oku-overflow:1'><span style=3D'font-family:Arial;font-size:75%;color:#9999CC;mso-color-i=ndex:5;mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s132109" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:Arial;font-size:75%;color:#9999CC;mso-color-i=ndex:5;mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_m132110" class=3DT>Click to edit Master title style<=/div>

<div v:shape=3D"_x0000_m132111">

<div class=3DB>Click to edit Master text styles&#13;</div>

<div class=3DB1>Second level&#13;</div>

<div class=3DB2>Third level&#13;</div>

<div class=3DB3>Fourth level&#13;</div>

<div class=3DB4>Fifth level</div>

</div>

<div v:shape=3D"_x0000_s132112" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span lang=3DEN-US style=3D'font-family:Arial;font-size:50%;mso-field-co=de:meta0'>&#8249;date/time&#8250;</span><spanstyle=3D'font-family:Arial;font-size:50%;mso-special-format:lastCR'>&#13;</=span></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/master12.xmlContent-Transfer-Encoding: quoted-printableContent-Type: text/xml; charset="utf-8"

<xml xmlns:v=3D"urn:schemas-microsoft-com:vml" xmlns:o=3D"urn:schemas-microsoft-com:office:office" xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint" xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"129"/> </o:shapelayout><p:colorscheme colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6="/> <v:background id=3D"_x0000_s132097" o:bwmode=3D"white" fillcolor=3D"#cccce=6 [7]"/> <p:shaperange id=3D"_x0000_s132098"> <v:shapetype id=3D"_x0000_s132098" style=3D'position:absolute;left:246pt;=top:492pt; width:228pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/>

Page 5: Lec10

<v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"footer" position=3D"3" size=3D"quarter"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s132099"> <v:shapetype id=3D"_x0000_s132099" style=3D'position:absolute;left:516pt;=top:492pt; width:168pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"slideNumber" position=3D"4" size=3D"quarter"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s132100"> <v:group id=3D"_x0000_s132100" style=3D'position:absolute;left:0;top:0;wi=dth:10in; height:43pt' coordsize=3D"5760,344"> <v:rect id=3D"_x0000_s132101" style=3D'position:absolute;width:180;heigh=t:336; mso-wrap-style:none;v-text-anchor:middle' fillcolor=3D"#cccce6 [7]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" angle=3D"-90" focus=3D"100%" type=3D"gradi=ent"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s132102" style=3D'position:absolute;left:2=60; top:85;width:5500;height:173' fillcolor=3D"#00007d [2]" stroked=3D"f"> <v:fill color2=3D"white [0]" angle=3D"-90" focus=3D"100%" type=3D"gradi=ent"/> </v:rect><v:rect id=3D"_x0000_s132103" style=3D'position:absolute;left:2=58; top:85;width:87;height:89' fillcolor=3D"#cccce6 [7]" stroked=3D"f"/> <v:rect id=3D"_x0000_s132104" style=3D'position:absolute;left:345;width:=88; height:87' fillcolor=3D"#cccce6 [7]" stroked=3D"f"/> <v:rect id=3D"_x0000_s132105" style=3D'position:absolute;left:345;top:85; width:88;height:89' fillcolor=3D"#99c [5]" stroked=3D"f"/> <v:rect id=3D"_x0000_s132106" style=3D'position:absolute;left:173;top:17=3; width:86;height:87' fillcolor=3D"#cccce6 [7]" stroked=3D"f"/> <v:rect id=3D"_x0000_s132107" style=3D'position:absolute;left:83;top:86;=width:89; height:87' fillcolor=3D"#00007d [2]" stroked=3D"f"/> <v:rect id=3D"_x0000_s132108" style=3D'position:absolute;left:258;top:17=1; width:87;height:87' fillcolor=3D"#99c [5]" stroked=3D"f"/> <v:rect id=3D"_x0000_s132109" style=3D'position:absolute;left:173;top:25=8; width:86;height:86' fillcolor=3D"#99c [5]" stroked=3D"f"/> </v:group></p:shaperange> <p:shaperange id=3D"_x0000_m132110"> <v:shapetype id=3D"_x0000_m132110" style=3D'position:absolute;left:36pt;t=op:36pt; width:9in;height:108pt;v-text-anchor:middle' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>

Page 6: Lec10

<o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"title"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_m132111"> <v:shapetype id=3D"_x0000_m132111" style=3D'position:absolute;left:36pt;t=op:156pt; width:9in;height:306pt' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D="1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" s=troked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"body" position=3D"1"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s132112"> <v:shapetype id=3D"_x0000_s132112" style=3D'position:absolute;left:36pt;t=op:491.75pt; width:168pt;height:37.5pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"dateTime" position=3D"2" size=3D"half"/> </v:shapetype></p:shaperange></xml>------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/preview.wmfContent-Transfer-Encoding: base64Content-Type: image/x-wmf

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

Page 7: Lec10

AAQAAADwAQQABwAAAPwCAADr6/QAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAABAABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAADt7fYAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAABEABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAADw8PcAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAABIABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAADy8vgAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAABMABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAD09PoAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAABQABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAD29vsAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAABUABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAD39/wAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAABYABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAD5+fwAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAABcABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAD6+v0AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAABgABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAD8/P0AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAABkABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAD9/f4AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAgAAABoABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAD+/v8AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAgAAABwABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAD///8AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAADsAAQAAAB4ABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABAAAAC0BAgAEAAAAJwH//wMAAAAeAAQAAAAtAQEABwAAAPwCAAAAAH0AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAQAOACwABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAADA30AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAQAOAC0ABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAFBX0AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAQAOAC4ABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAICH0AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAQAOAC8ABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAALC30AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAgAOADAABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAANDX0AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAgAOADIABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAPD30AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAgAOADQABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAREX0AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAgAOADYABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAATE30AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAwAOADgABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAVFX4AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAwAOADsABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAXF34AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABAAOAD4ABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAZGX4AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABgAOAEIABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAbG38AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAwAOAEgABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAdHX8AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABAAOAEsABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAfH38AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABAAOAE8ABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAhIX8AAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABQAOAFMABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAjI4AAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABgAOAFgABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAlJYAAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4AAgAOAF4ABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAnJ4AAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABgAOAGAABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAApKYEAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABAAOAGYABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAArK4EAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABQAOAGoABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAtLYEAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABwAOAG8ABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAvL4IAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABgAOAHYABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAxMYIAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABQAOAHwABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAAzM4MAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABgAOAIEABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAA1NYMAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABQAOAIcABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAA3N4QAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABgAOAIwABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAA5OYQAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABQAOAJIABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAA7O4UAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABgAOAJcABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAA9PYYAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABQAOAJ0ABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAAA/P4cAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABwAOAKIABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAABBQYcAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABAAOAKkABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAABDQ4gAAAAEAAAALQEEAAQAAAAtAQEADAAAAEAJIQDwAAAAAAAAAB4ABwAOAK0ABAAAAC0BAQAEAAAALQEDAAQAAADwAQQABwAAAPwCAABFRYgAAAAEAAAALQEE

Page 8: Lec10

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

Page 9: Lec10

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

Page 10: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/master13.htm

Page 11: Lec10

Content-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\master13.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DRobots content=3DNoIndex><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><script src=3Dscript.js></script><script><!--

parent.location.href=3Ddocument.all.item("Main-File").href//--></script><![endif]></head>

<body>

<div v:shape=3D"_x0000_s133123" class=3DO style=3D'text-align:center;mso-ch=ar-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s133124" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s133126" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s133127" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s133128" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s133129" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s133130" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=

Page 12: Lec10

&#13;</span></div>

<div v:shape=3D"_x0000_s133131" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s133132" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s133133" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s133134" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s133135" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>=&#13;</span></div>

<div v:shape=3D"_x0000_s133136" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span lang=3DEN-US style=3D'font-family:Arial;font-size:50%;mso-field-co=de:meta0'>&#8249;date/time&#8250;</span><spanstyle=3D'font-family:Arial;font-size:50%;mso-special-format:lastCR'>&#13;</=span></div>

<div v:shape=3D"_x0000_s133137" class=3DO style=3D'text-align:center;mso-ch=ar-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:Arial;font-size:50%;mso-field-code:meta15'>&#8249;footer&#8250;</span><span style=3D'font-famil=y:Arial;font-size:50%;mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s133138" class=3DO style=3D'text-align:right;mso-cha=r-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:"Arial Black";font-siz=e:50%;mso-field-code:meta16'>&#8249;#&#8250;</span><span style=3D'font-family=:"Arial Black";font-size:50%;mso-special-format:lastCR'>&#13;</span></div>

<div v:shape=3D"_x0000_s133139" class=3DCT>Click to edit Master title style=</div>

<div v:shape=3D"_x0000_s133140" class=3DCB>Click to edit Master subtitle st=yle</div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/master13.xmlContent-Transfer-Encoding: quoted-printableContent-Type: text/xml; charset="utf-8"

Page 13: Lec10

<xml xmlns:v=3D"urn:schemas-microsoft-com:vml" xmlns:o=3D"urn:schemas-microsoft-com:office:office" xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint" xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"130"/> </o:shapelayout><p:colorscheme colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6="/> <v:background id=3D"_x0000_s133121" o:bwmode=3D"white" fillcolor=3D"#cccce=6 [7]"/> <p:shaperange id=3D"_x0000_s133122"> <v:group id=3D"_x0000_s133122" style=3D'position:absolute;left:0;top:0;wi=dth:10in; height:540pt' coordsize=3D"5760,4320"> <v:rect id=3D"_x0000_s133123" style=3D'position:absolute;width:2208;heig=ht:4320; mso-wrap-style:none;v-text-anchor:middle' o:bwmode=3D"undrawn" fillcolo=r=3D"#cccce6 [7]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" angle=3D"-90" focus=3D"100%" type=3D"gradi=ent"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s133124" style=3D'position:absolute;left:1=081; top:1065;width:4679;height:1596' o:bwmode=3D"undrawn" fillcolor=3D"#000=07d [2]" stroked=3D"f"/> <v:group id=3D"_x0000_s133125" style=3D'position:absolute;top:672;width:=1806; height:1989' coordorigin=3D",672" coordsize=3D"1806,1989"> <v:rect id=3D"_x0000_s133126" style=3D'position:absolute;left:361;top:2=257; width:363;height:404' o:userdrawn=3D"t" fillcolor=3D"#99c [5]" stroked==3D"f"/> <v:rect id=3D"_x0000_s133127" style=3D'position:absolute;left:1081;top:=1065; width:362;height:405' o:userdrawn=3D"t" fillcolor=3D"#cccce6 [7]" stro=ked=3D"f"/> <v:rect id=3D"_x0000_s133128" style=3D'position:absolute;left:1437;top:=672; width:369;height:400' o:userdrawn=3D"t" fillcolor=3D"#cccce6 [7]" stro=ked=3D"f"/> <v:rect id=3D"_x0000_s133129" style=3D'position:absolute;left:719;top:2=257; width:368;height:404' o:userdrawn=3D"t" fillcolor=3D"#00007d [2]" stro=ked=3D"f"/> <v:rect id=3D"_x0000_s133130" style=3D'position:absolute;left:1437;top:=1065; width:369;height:405' o:userdrawn=3D"t" fillcolor=3D"#99c [5]" stroked==3D"f"/> <v:rect id=3D"_x0000_s133131" style=3D'position:absolute;left:719;top:1=464; width:368;height:399' o:userdrawn=3D"t" fillcolor=3D"#cccce6 [7]" stro=ked=3D"f"/> <v:rect id=3D"_x0000_s133132" style=3D'position:absolute;top:1464;width=:367; height:399' o:userdrawn=3D"t" fillcolor=3D"#00007d [2]" stroked=3D"f"/> <v:rect id=3D"_x0000_s133133" style=3D'position:absolute;left:1081;top:=1464; width:362;height:399' o:userdrawn=3D"t" fillcolor=3D"#99c [5]" stroked==3D"f"/> <v:rect id=3D"_x0000_s133134" style=3D'position:absolute;left:361;top:1=857;

Page 14: Lec10

width:363;height:406' o:userdrawn=3D"t" fillcolor=3D"#cccce6 [7]" stro=ked=3D"f"/> <v:rect id=3D"_x0000_s133135" style=3D'position:absolute;left:719;top:1=857; width:368;height:406' o:userdrawn=3D"t" fillcolor=3D"#99c [5]" stroked==3D"f"/> </v:group></v:group></p:shaperange> <p:shaperange id=3D"_x0000_s133136"> <v:shapetype id=3D"_x0000_s133136" style=3D'position:absolute;left:36pt;t=op:492pt; width:168pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"dateTime" position=3D"2" size=3D"half"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s133137"> <v:shapetype id=3D"_x0000_s133137" style=3D'position:absolute;left:246pt;=top:492pt; width:228pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"footer" position=3D"3" size=3D"quarter"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s133138"> <v:shapetype id=3D"_x0000_s133138" style=3D'position:absolute;left:516pt;=top:492pt; width:168pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"slideNumber" position=3D"4" size=3D"quarter"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s133139"> <v:shapetype id=3D"_x0000_s133139" style=3D'position:absolute;left:234pt;=top:2in; width:474pt;height:174pt;v-text-anchor:middle' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"centerTitle"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s133140"> <v:shapetype id=3D"_x0000_s133140" style=3D'position:absolute;left:234pt;=top:336pt; width:474pt;height:138pt' coordsize=3D"21600,21600" o:master=3D"" o:spt==3D"1"

Page 15: Lec10

path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" s=troked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"subTitle" position=3D"1"/> </v:shapetype></p:shaperange></xml>------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/pres.xmlContent-Transfer-Encoding: quoted-printableContent-Type: text/xml; charset="utf-8"

<xml xmlns:v=3D"urn:schemas-microsoft-com:vml" xmlns:o=3D"urn:schemas-microsoft-com:office:office" xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint" xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"> <p:presentation sizeof=3D"screen" gridspacingx=3D"49152" gridspacingy=3D"4=9152"> <p:master id=3D"12" slidesn=3D"1C00DA9,3702FA30" type=3D"main" href=3D"ma=ster12.htm" xmlhref=3D"master12.xml" template=3D"mypixel" preserved=3D"t" layout=3D"=title_body" slots=3D"title,body,dateTime,footer,slideNumber"> <p:schemes> <p:colorscheme colors=3D"#000066,#FFFFFF,#0066FF,#FFFFFF,#6699FF,#3333FF,#FFCC00,#000=0CC"/> <p:colorscheme colors=3D"#334B49,#FFFFFF,#009999,#FFFFFF,#33CCCC,#008080,#FFCC00,#006=666"/> <p:colorscheme colors=3D"#333399,#FFFFFF,#006699,#FFFFFF,#0099CC,#0386AF,#FFCC00,#669=9FF"/> <p:colorscheme colors=3D"#2F978D,#FFFFFF,#008080,#FFFFFF,#0099FF,#009999,#FFFFCC,#70C=AC6"/> <p:colorscheme colors=3D"#330000,#FFFFFF,#822504,#FFFFFF,#FF9900,#9E2A06,#FF3300,#7C0=704"/> <p:colorscheme colors=3D"#4A7911,#FFFFFF,#336600,#FFFFFF,#666633,#669900,#FFCC00,#99C=C00"/> <p:colorscheme colors=3D"#FFFFFF,#000000,#CC3300,#000000,#FFCC00,#CC6600,#663300,#CC9=900"/> <p:colorscheme colors=3D"#FFFFFF,#003300,#336600,#000000,#CCCC00,#669900,#333300,#99C=C00"/> <p:colorscheme colors=3D"#FFFFFF,#000000,#440044,#000000,#FFCCCC,#790571,#993366,#9F8=39F"/> <p:colorscheme colors=3D"#FFFFFF,#000000,#FF9900,#000000,#FFCC99,#FBA313,#CC3300,#FCC=66E"/> <p:colorscheme colors=3D"#FFFFFF,#000000,#779F92,#000000,#33CCCC,#9DC2D7,#006666,#CCC=CFF"/> <p:colorscheme colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCC=CE6"/>

Page 16: Lec10

</p:schemes> </p:master> <p:master id=3D"13" slidesn=3D"1C00DA9,3702FA30" type=3D"title" href=3D"m=aster13.htm" xmlhref=3D"master13.xml" preserved=3D"t" layout=3D"title_subtitle" slots=3D"centerTitle,subTitle,dateTime,footer,slideNumber"/> <p:master id=3D"1" slidesn=3D"1C4ECBD,48A16F90" type=3D"notes" href=3D"ma=ster01.htm" layout=3D"notes" slots=3D"header,dateTime,slideImage,body,footer,slideNu=mber"/> <p:slide id=3D"56" slidesn=3D"0,0" href=3D"slide0056.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"57" slidesn=3D"0,0" href=3D"slide0057.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"58" slidesn=3D"0,0" href=3D"slide0058.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"59" slidesn=3D"0,0" href=3D"slide0059.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"60" slidesn=3D"0,0" href=3D"slide0060.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"61" slidesn=3D"0,0" href=3D"slide0061.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"62" slidesn=3D"0,0" href=3D"slide0062.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"63" slidesn=3D"0,0" href=3D"slide0063.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"64" slidesn=3D"0,0" href=3D"slide0064.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"65" slidesn=3D"0,0" href=3D"slide0065.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"66" slidesn=3D"0,0" href=3D"slide0066.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"67" slidesn=3D"0,0" href=3D"slide0067.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"68" slidesn=3D"0,0" href=3D"slide0068.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"69" slidesn=3D"0,0" href=3D"slide0069.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"70" slidesn=3D"1C50A0E,B4DCB430" href=3D"slide0070.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"71" slidesn=3D"1C50A13,4480B830" href=3D"slide0071.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"72" slidesn=3D"1C50A14,26BC5E70" href=3D"slide0072.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"73" slidesn=3D"1C50AA0,A5381B90" href=3D"slide0073.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"74" slidesn=3D"1C50AA1,45987940" href=3D"slide0074.htm" layout=3D"title_body" slots=3D"title,body"/> <p:viewstate type=3D"slideView" restoredleft=3D"156" restoredtop=3D"937" manualadjusttop=3D"t" hideoutlineicons=3D"t"/>

Page 17: Lec10

<p:tag name=3D"___PPT2001" type=3D"binary" datasize=3D"68" dataoffset=3D"=0"/> <p:tag name=3D"DEFAULTFONTSIZE" type=3D"string" value=3D"10"/> <p:tag name=3D"DEFAULTWIDTH" type=3D"string" value=3D"348"/> <p:tag name=3D"DEFAULTHEIGHT" type=3D"string" value=3D"200"/> <p:kinsoku language=3D"Japanese" level=3D"levelOne"/> <p:font name=3D"Times" charset=3D"0" type=3D"4"/> <p:font name=3D"Arial" charset=3D"0" type=3D"4"/> <p:font name=3D"Times New Roman" charset=3D"0" type=3D"6" family=3D"18"/> <p:font name=3D"Wingdings" charset=3D"2" type=3D"6" family=3D"2"/> <p:font name=3D"Arial Black" charset=3D"0" type=3D"6" family=3D"34"/> <p:font name=3D"Courier New" charset=3D"0" type=3D"6" family=3D"49"/> <p:font name=3D"Symbol" charset=3D"2" type=3D"6" family=3D"18"/> <p:font name=3D"Tahoma" charset=3D"0" type=3D"6" family=3D"34"/> <p:headersfooters slidenumber=3D"t" formatid=3D"0" noheader=3D"t"/> <p:headersfooters notes=3D"t" slidenumber=3D"t" formatid=3D"0"/> <p:pptdocumentsettings framecolors=3D"WhiteTextOnBlack" hideslideanimatio=n=3D"t" browsersupport=3D"v4"/> </p:presentation> <o:shapedefaults v:ext=3D"edit" spidmax=3D"167940"> <o:colormru v:ext=3D"edit" colors=3D"#448741,#ee2217"/> <o:colormenu v:ext=3D"edit" strokecolor=3D"#ee2217"/> </o:shapedefaults></xml>------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/editdata.msoContent-Transfer-Encoding: base64Content-Type: application/x-mso

QWN0aXZlTWltZQAAAfAEAAAA/////wAAA/BEAAAADwCIFzwAAAAAAIkXNAAAAAAAAAAAAAAAAAAAAFgCAAAAAQEAAQEAAAEBAQABAAAAAAAAAOCuAAAAAAAAAAAAAIACAeAAAAvwBAAAABI0Vng=

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0056.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0056.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Quick Sort">

Page 18: Lec10

<link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"145"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO style=3D'text-align:right;mso-ch=ar-wrap: 1;mso-kinsoku-overflow:1;position:absolute;top:94.0%;left:72.65%;width:21.=53%; height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-fi=eld-code: meta16'>1</span><span style=3D'font-family:"Arial Black";font-size:50%; mso-special-format:lastCR;display:none'>&#13;</span></div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s148482" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:60pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s148483" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:156pt;width:9in;height:306pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape>

Page 19: Lec10

<div v:shape=3D"_x0000_s148482" class=3DT style=3D'position:absolute;top:8=.25%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Quick Sort</span></div> <div v:shape=3D"_x0000_s148483"> <div class=3DB style=3D'position:absolute;top:30.0%;left:5.99%;width:88.2%; height:6.75%'><span style=3D'position:absolute;top:0%;left:4.24%;width:95.=75%; height:100.0%'><span class=3DBB style=3D'position:absolute;left:-4.43%;top=:.3em'>&uml;</span><span lang=3DDA>Characteristics&#13;</span></span></div> <div class=3DB1><span style=3D'position:absolute;top:38.25%;left:14.04%; width:91.38%;height:6.0%'><span class=3DB1B style=3D'position:absolute;lef=t:-3.27%; top:.3em'>&uml;</span><span lang=3DDA>sorts almost in &quot;place,&quot; i=.e., does not require </span></span><span style=3D'position:absolute;top:44.5%; left:14.04%;width:79.96%;height:6.0%'><span lang=3DDA>an additional array&=#13;</span></span></div> <div class=3DB1><span style=3D'position:absolute;top:52.0%;left:14.04%;wid=th:92.88%; height:6.0%'><span class=3DB1B style=3D'position:absolute;left:-3.22%;top:=.3em'>&uml;</span><span lang=3DDA>very practical, average sort performance O(</span><span lang=3DD=A><i>n </i></span></span><span style=3D'position:absolute;top:58.25%;left:14.04%;width:92.69%;height:6.0%='><span lang=3DDA>log </span><span lang=3DDA><i>n</i></span><span lang=3DDA>) (wit=h small constant factors), but worst </span></span><span style=3D'position:absolut=e; top:64.5%;left:14.04%;width:79.96%;height:6.0%'><span lang=3DDA>case O(</s=pan><span lang=3DDA><i>n</i></span><span lang=3DDA style=3D'font-size:67%;position:r=elative; top:-.45em;mso-text-raise:30%'>2</span><span lang=3DDA>)</span></span></di=v> </div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/master12_image001.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

Page 20: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0057.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0057.htm"id=3D"webarch_temp_base_tag">

Page 21: Lec10

<![endif]><meta name=3DDescription content=3D"2/5/2005: Quick Sort &#8211; the Princi=ple"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"146"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>2<=/span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s149506" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:1in' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s149507" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:156pt;width:9in;height:306pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/>

Page 22: Lec10

<v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s149506" class=3DT style=3D'position:absolute;top:9=.5%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Quick Sort &#8211; the Principle</span></div> <div v:shape=3D"_x0000_s149507"> <div class=3DB><span style=3D'position:absolute;top:30.0%;left:9.73%;width=:93.07%; height:6.75%'><span class=3DBB style=3D'position:absolute;left:-4.02%;top:=.3em'>&uml;</span>To understand quick-sort, let&#8217;s look at a </span><span style=3D'positio=n: absolute;top:37.0%;left:9.73%;width:88.38%;height:6.75%'>high-level<span lang=3DDA> </span>description of the algorithm&#13;</span></div> <div class=3DB style=3D'position:absolute;top:45.5%;left:5.99%;width:88.2%; height:6.75%'><span style=3D'position:absolute;top:0%;left:4.24%;width:95.=75%; height:100.0%'><span class=3DBB style=3D'position:absolute;left:-4.43%;top=:.3em'>&uml;</span>A divide-and-conquer algorithm&#13;</span></div> <div class=3DB1><span style=3D'position:absolute;top:54.0%;left:14.04%;wid=th:91.19%; height:6.0%'><span class=3DB1B style=3D'position:absolute;left:-3.28%;top:=.3em'>&uml;</span><span lang=3DDA><b>Divide</b></span><span lang=3DDA>: partition array into 2 sub=arrays such </span></span><span style=3D'position:absolute;top:60.0%;left:14.04%; width:94.75%;height:6.0%'><span lang=3DDA>that elements in the lower part =&lt;=3D elements in </span></span><span style=3D'position:absolute;top:66.25%; left:14.04%;width:79.96%;height:6.0%'><span lang=3DDA>the higher part&#13;=</span></span></div> <div class=3DB1 style=3D'position:absolute;top:73.75%;left:11.04%;width:90=.07%; height:6.0%'><span style=3D'position:absolute;top:0%;left:3.32%;width:96.4=6%; height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-3.44%; top:.3em'>&uml;</span><span lang=3DDA><b>Conquer</b></span><span lang=3DDA=>: recursively sort the 2 subarrays&#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:81.25%;left:11.04%;width:98=.12%; height:6.0%'><span style=3D'position:absolute;top:0%;left:3.05%;width:96.7=5%; height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-3.15%; top:.3em'>&uml;</span><span lang=3DDA><b>Combine</b></span><span lang=3DDA=>: trivial since sorting is done in place</span></span></div> </div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0058.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"

Page 23: Lec10

xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0058.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Partitioning"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><!--[if gte IE 5]><object id=3DMSOANIM classid=3D"CLSID:A4639D2F-774E-11D3-A490-00C04F6843FB"=></object><object id=3DMSOTIME classid=3D"CLSID:A4639D29-774E-11D3-A490-00C04F6843FB"=></object><![endif]--><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><style><!--oa\:* { BEHAVIOR: url(#MSOANIM#ANIM) url(#MSOTIME#TIME) }oa\:par,oa\:seq,oa\:iterate { BEHAVIOR:url(#MSOTIME) }oa\:video,oa\:audio {BEHAVIOR:url(#MSOTIME) url(#MSOTIME#MEDIA) }--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><script><!--g_animItemsToHide=3Dnew Array("_x0000_s150622_AllText","_x0000_s150622","_x=0000_s150623_AllText","_x0000_s150623","_x0000_s150624_AllText","_x0000_s15=0624","_x0000_s150602_AllText","_x0000_s150602","_x0000_s150601_AllText","_=x0000_s150601","_x0000_s150600_AllText","_x0000_s150600","_x0000_s150580_Al=lText","_x0000_s150580","_x0000_s150579_AllText","_x0000_s150579","_x0000_s=150578_AllText","_x0000_s150578","_x0000_s150644_AllText","_x0000_s150644",="_x0000_s150558_AllText","_x0000_s150558","_x0000_s150556_AllText","_x0000_=s150556","_x0000_s150557_AllText","_x0000_s150557","_x0000_s150553_AllText"=,"_x0000_s150553");

//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"147"/>

Page 24: Lec10

</o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()" oa:clockstart=3D"onstart">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>3<=/span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s150530" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:60pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s150531" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:114pt;width:9in;height:58.75pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape><v:rect id=3D"_x00=00_s150532" style=3D'position:absolute;left:30.5pt;top:185.875pt;width:377.75pt;heigh=t:269.125pt' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1=]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:rect> <div v:shape=3D"_x0000_s150530" class=3DT style=3D'position:absolute;top:8=.25%;

Page 25: Lec10

left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Partitioning</span></d=iv> <div v:shape=3D"_x0000_s150531" class=3DB style=3D'position:absolute;top:2=2.25%; left:5.99%;width:88.2%;height:6.75%'><span style=3D'position:absolute; top:0%;left:4.24%;width:95.75%;height:100.0%'><span class=3DBB style=3D'po=sition: absolute;left:-4.43%;top:.3em'>&uml;</span><span lang=3DDA>Linear time partitioning procedure</span></span></div> <div v:shape=3D"_x0000_s150532" class=3DO style=3D'tab-stops:.25in .4722in= .7083in .9444in 1.1805in 1.4166in 1.6527in 1.8906in 2.1267in 2.3628in 2.59=89in'> <div style=3D'text-align:justify;position:absolute;top:35.25%;left:5.24%; width:26.77%;height:4.5%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New";font-size:83%'><b>Partition</b></span>=<span lang=3DEN-GB style=3D'font-family:"Courier New";mso-ascii-font-family:"Cou=rier New"; mso-bidi-font-family:"Times New Roman";mso-hansi-font-family:"Courier New"; font-size:83%'>(A,p,r)&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:39.25%;left:5.24%; width:14.98%;height:4.5%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>01</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'>x</span><span style=3D'mso-ascii-font-family:Symbol;mso-bidi-font-family:"Courier New"; font-size:75%'>&not;</span><span style=3D'font-family:"Courier New";mso-as=cii-font-family: "Courier New";mso-bidi-font-family:"Courier New";font-size:75%'>A[r]&#13;<=/span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:43.25%;left:5.24%; width:13.48%;height:4.5%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>02</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'>i</span><span style=3D'mso-ascii-font-family:Symbol;mso-bidi-font-family:"Courier New"; font-size:75%'>&not;</span><span style=3D'font-family:"Courier New";mso-as=cii-font-family: "Courier New";mso-bidi-font-family:"Courier New";font-size:75%'>p-1&#13;</=span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:47.25%;left:5.24%; width:13.48%;height:4.5%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>03</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'>j</span><span style=3D'mso-ascii-font-family:Symbol;mso-bidi-font-family:"Courier New"; font-size:75%'>&not;</span><span style=3D'font-family:"Courier New";mso-as=cii-font-family: "Courier New";mso-bidi-font-family:"Courier New";font-size:75%'>r+1&#13;</=span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:51.5%;left:5.24%;

Page 26: Lec10

width:20.03%;height:4.25%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>04</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><b>while</b></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'> TRUE&#13;</span></nobr>=</div> <div style=3D'text-align:justify;position:absolute;top:55.25%;left:5.24%; width:28.46%;height:4.5%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>05</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;</span></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><b>repeat</b></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'> j</span><span style=3D'mso-ascii-font-family:Symbol;mso-bidi-font-family:"Courier New"; font-size:75%'>&not;</span><span style=3D'font-family:"Courier New";mso-as=cii-font-family: "Courier New";mso-bidi-font-family:"Courier New";font-size:75%'>j-1&#13;</=span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:59.25%;left:5.24%; width:32.39%;height:4.5%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>06</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></sp=an><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><b>until</b></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'> A[j]</span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";font-size:75%'> &pound;</span><span style=3D'font-family:"Co=urier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>x&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:63.25%;left:5.24%; width:28.46%;height:4.5%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>07</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;</span></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><b>repeat</b></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New";

Page 27: Lec10

mso-bidi-font-family:"Courier New";font-size:75%'> i</span><span style=3D'mso-ascii-font-family:Symbol;mso-bidi-font-family:"Courier New"; font-size:75%'>&not;</span><span style=3D'font-family:"Courier New";mso-as=cii-font-family: "Courier New";mso-bidi-font-family:"Courier New";font-size:75%'>i+1&#13;</=span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:67.25%;left:5.24%; width:32.39%;height:4.5%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>08</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></sp=an><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><b>until</b></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'> A[i]</span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";font-size:75%'> &sup3;</span><span style=3D'font-family:"Cou=rier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>x&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:71.5%;left:5.24%; width:18.53%;height:4.25%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>09</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;</span></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><b>if</b></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'> i&lt;j&#13;</span></nob=r></div> <div style=3D'text-align:justify;position:absolute;top:75.25%;left:5.24%; width:49.43%;height:4.5%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>10</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></sp=an><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><b>then</b></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'> exchange A[i]</span><sp=an style=3D'mso-ascii-font-family:Symbol;mso-bidi-font-family:"Courier New"; font-size:75%'>&laquo;</span><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>A[j]&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:79.5%;left:5.24%; width:33.33%;height:4.25%'><nobr><span style=3D'font-family:"Courier New";

Page 28: Lec10

mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; font-size:75%'>11</span><span style=3D'mso-ascii-font-family:"Times New Ro=man"; mso-bidi-font-family:"Times New Roman";font-size:75%'>&nbsp;&nbsp; </span>=<span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></sp=an><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><b>else</b></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'> </span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'><b>return</b></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";font-size:75%'> j</span><span style=3D'font-family:"Times New Roman";font-size:75%;mso-special-format:la=stCR; display:none'>&#13;</span></nobr></div> </div> <v:group id=3D"_x0000_s150533" style=3D'position:absolute;left:372pt;top:2=09.125pt; width:312.875pt;height:31.125pt' coordorigin=3D"2704,2116" coordsize=3D"2=503,249" o:tableproperties=3D"1" o:tablelimits=3D"24.25pt"> <o:lock v:ext=3D"edit" rotation=3D"t"/> <v:rect id=3D"_x0000_s150534" style=3D'position:absolute;left:4894;top:21=16; width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor==3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150535" style=3D'position:absolute;left:45=81; top:2116;width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150536" style=3D'position:absolute;left:42=68; top:2116;width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150537" style=3D'position:absolute;left:39=55; top:2116;width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/>

Page 29: Lec10

</v:rect><v:rect id=3D"_x0000_s150538" style=3D'position:absolute;left:36=43; top:2116;width:312;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150539" style=3D'position:absolute;left:33=29; top:2116;width:314;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150540" style=3D'position:absolute;left:30=17; top:2116;width:312;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150541" style=3D'position:absolute;left:27=04; top:2116;width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:line id=3D"_x0000_s150542" style=3D'position:absolute' from==3D"2704,2116" to=3D"5207,2116" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150543" style=3D'position:absolute' from==3D"2704,2365" to=3D"5207,2365" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150544" style=3D'position:absolute' from==3D"2704,2116" to=3D"2704,2365" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150545" style=3D'position:absolute' from==3D"3017,2116" to=3D"3017,2365" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/>

Page 30: Lec10

</v:line><v:line id=3D"_x0000_s150546" style=3D'position:absolute' from==3D"3329,2116" to=3D"3329,2365" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150547" style=3D'position:absolute' from==3D"3643,2116" to=3D"3643,2365" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150548" style=3D'position:absolute' from==3D"3955,2116" to=3D"3955,2365" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150549" style=3D'position:absolute' from==3D"4268,2116" to=3D"4268,2365" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150550" style=3D'position:absolute' from==3D"4581,2116" to=3D"4581,2365" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150551" style=3D'position:absolute' from==3D"4894,2116" to=3D"4894,2365" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150552" style=3D'position:absolute' from==3D"5207,2116" to=3D"5207,2365" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line></v:group><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s150533,_x0000_s150534,_x0000_s150535,_x0000_s150536,_x=0000_s150537,_x0000_s150538,_x0000_s150539,_x0000_s150540,_x0000_s150541,_x=0000_s150542,_x0000_s150543,_x0000_s150544,_x0000_s150545,_x0000_s150546,_x=0000_s150547,_x0000_s150548,_x0000_s150549,_x0000_s150550,_x0000_s150551,_x=0000_s150552" src=3D"slide0058_image002.gif" style=3D'position:absolute;top:38.5%;left:5=1.49%; width:44.0%;height:6.5%'><![endif]> <div v:shape=3D"_x0000_s150534"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=

Page 31: Lec10

:absolute; top:39.75%;left:90.44%;width:3.93%;height:4.5%'><span style=3D'font-size:7=1%'>10</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150535"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:39.75%;left:85.2%;width:3.55%;height:4.5%'><span style=3D'font-size:71=%'>5</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150536"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:39.75%;left:79.77%;width:3.55%;height:4.5%'><span style=3D'font-size:7=1%'>8</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150537"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:39.75%;left:74.15%;width:3.93%;height:4.5%'><span style=3D'font-size:7=1%'>23</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150538"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:39.75%;left:68.72%;width:3.93%;height:4.5%'><span lang=3DEN-GB style=3D'font-size:71%'>19</span></div> </div> <div v:shape=3D"_x0000_s150539"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:39.75%;left:63.48%;width:3.55%;height:4.5%'><span style=3D'font-size:7=1%'>6</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div>

Page 32: Lec10

<div v:shape=3D"_x0000_s150540"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:39.75%;left:57.86%;width:3.93%;height:4.5%'><span style=3D'font-size:7=1%'>12</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150541"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:39.75%;left:52.43%;width:3.93%;height:4.5%'><span style=3D'font-size:7=1%'>17</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <v:group id=3D"_x0000_s150553" style=3D'position:absolute;left:348pt;top:1=77.125pt; width:360.375pt;height:33.125pt' coordorigin=3D"2784,1417" coordsize=3D"2=883,265"> <v:shapetype id=3D"_x0000_t202" coordsize=3D"21600,21600" o:spt=3D"202" p=ath=3D"m,l,21600r21600,l21600,xe"> <v:stroke joinstyle=3D"miter"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> </v:shapetype><v:shape id=3D"_x0000_s150554" type=3D"#_x0000_t202" style==3D'position:absolute; left:2784;top:1432;width:212;height:250;mso-wrap-style:none; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:top-bas=eline' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [=1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"1" delay=3D"0" type=3D"object" effect=3D"fly" dir=ection=3D"left" flag=3D"17408"/></v:shape><v:shape id=3D"_x0000_s150555" type=3D"#_x000=0_t202" style=3D'position:absolute;left:5455;top:1417;width:212;height:250; mso-wrap-style:none;mso-wrap-distance-left:0;mso-wrap-distance-right:0; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"2" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack" afterbuild=3D"hideImmediate" flag=3D"17412"/></v:=shape><p:animation number=3D"1" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noB=lack" afterbuild=3D"hide" flag=3D"17412"/></v:group><![if !ppt]> <div id=3D"_x0000_s150553_AllText" style=3D'position:absolute;top:32.75%; left:48.31%;width:50.37%;height:6.5%;white-space:nowrap'><![endif]><![if !=vml]><img border=3D0 v:shapes=3D"_x0000_s150553,_x0000_s150554,_x0000_s150555"

Page 33: Lec10

src=3D"slide0058_image003.gif" style=3D'position:absolute;top:0%;left:0%; width:100.0%;height:100.0%'><![endif]> <div v:shape=3D"_x0000_s150554" class=3DO style=3D'mso-char-wrap:1;mso-kin=soku-overflow: 1;position:absolute;top:19.23%;left:1.85%;width:4.46%;height:69.23%'><span style=3D'font-family:"Courier New";font-size:83%'>i</span></div> <div v:shape=3D"_x0000_s150555" class=3DO style=3D'mso-char-wrap:1;mso-kin=soku-overflow: 1;position:absolute;top:15.38%;left:94.05%;width:4.46%;height:69.23%'><span style=3D'font-family:"Courier New";font-size:83%'>j</span></div> <![if !ppt]></div> <![endif]><v:shape id=3D"_x0000_s150556" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:373.5pt;top:178.25pt;width:26.5pt;height:31.25pt;mso-wrap-style:none; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:top-base=line' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1=]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"3" type=3D"object" effect=3D"cut" direction=3D"noB=lack" flag=3D"17408"/></v:shape> <div id=3D"_x0000_s150556_AllText" v:shape=3D"_x0000_s150556" class=3DO style=3D'position:absolute;top:33.75%;left:52.8%;width:2.24%;height:4.5%; white-space:nowrap'> <div style=3D'mso-char-wrap:1;mso-kinsoku-overflow:1;position:absolute; top:0%;left:0%;width:100.0%;height:100.0%'><span style=3D'font-family:"Cou=rier New"; font-size:83%'>i</span></div> </div> <v:shape id=3D"_x0000_s150557" type=3D"#_x0000_t202" style=3D'position:abs=olute; left:652.25pt;top:177.125pt;width:26.5pt;height:31.25pt;mso-wrap-style:no=ne; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:top-base=line' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1=]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"2" type=3D"object" effect=3D"cut" direction=3D"noB=lack" flag=3D"17408"/></v:shape> <div id=3D"_x0000_s150557_AllText" v:shape=3D"_x0000_s150557" class=3DO style=3D'position:absolute;top:33.75%;left:91.57%;width:2.24%;height:4.5%; white-space:nowrap'> <div style=3D'mso-char-wrap:1;mso-kinsoku-overflow:1;position:absolute; top:0%;left:0%;width:100.0%;height:100.0%'><span style=3D'font-family:"Cou=rier New"; font-size:83%'>j</span></div> </div> <v:group id=3D"_x0000_s150558" style=3D'position:absolute;left:372pt;top:2=83.125pt; width:312.875pt;height:31.125pt' coordorigin=3D"2976,2265" coordsize=3D"2=503,249" o:tableproperties=3D"1" o:tablelimits=3D"22.25pt"> <o:lock v:ext=3D"edit" rotation=3D"t"/> <v:rect id=3D"_x0000_s150559" style=3D'position:absolute;left:5166;top:22=65; width:313;height:249' fillcolor=3D"#f90" stroked=3D"f" strokecolor=3D"bl=ack [1]"

Page 34: Lec10

strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150560" style=3D'position:absolute;left:48=53; top:2265;width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150561" style=3D'position:absolute;left:45=40; top:2265;width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150562" style=3D'position:absolute;left:42=27; top:2265;width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150563" style=3D'position:absolute;left:39=15; top:2265;width:312;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150564" style=3D'position:absolute;left:36=01; top:2265;width:314;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150565" style=3D'position:absolute;left:32=89; top:2265;width:312;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150566" style=3D'position:absolute;left:29=76; top:2265;width:313;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]"

Page 35: Lec10

strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:line id=3D"_x0000_s150567" style=3D'position:absolute' from==3D"2976,2265" to=3D"5479,2265" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150568" style=3D'position:absolute' from==3D"2976,2514" to=3D"5479,2514" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150569" style=3D'position:absolute' from==3D"2976,2265" to=3D"2976,2514" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150570" style=3D'position:absolute' from==3D"3289,2265" to=3D"3289,2514" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150571" style=3D'position:absolute' from==3D"3601,2265" to=3D"3601,2514" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150572" style=3D'position:absolute' from==3D"3915,2265" to=3D"3915,2514" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150573" style=3D'position:absolute' from==3D"4227,2265" to=3D"4227,2514" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150574" style=3D'position:absolute' from==3D"4540,2265" to=3D"4540,2514" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150575" style=3D'position:absolute' from==3D"4853,2265"

Page 36: Lec10

to=3D"4853,2514" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150576" style=3D'position:absolute' from==3D"5166,2265" to=3D"5166,2514" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150577" style=3D'position:absolute' from==3D"5479,2265" to=3D"5479,2514" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><p:animation number=3D"4" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"17408"/></v:group><![if !ppt]> <div id=3D"_x0000_s150558_AllText" style=3D'position:absolute;top:52.25%; left:51.49%;width:44.0%;height:6.5%;white-space:nowrap'><![endif]><![if !v=ml]><img border=3D0 v:shapes=3D"_x0000_s150558,_x0000_s150559,_x0000_s150560,_x0000_s150561,_x=0000_s150562,_x0000_s150563,_x0000_s150564,_x0000_s150565,_x0000_s150566,_x=0000_s150567,_x0000_s150568,_x0000_s150569,_x0000_s150570,_x0000_s150571,_x=0000_s150572,_x0000_s150573,_x0000_s150574,_x0000_s150575,_x0000_s150576,_x=0000_s150577" src=3D"slide0058_image004.gif" style=3D'position:absolute;top:0%;left:0%; width:100.0%;height:100.0%'><![endif]> <div v:shape=3D"_x0000_s150559"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:88.51%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>17</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150560"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:76.59%;width:8.08%;height:69.23%'><span style=3D'font-size=:71%'>5</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150561"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:64.25%;width:8.08%;height:69.23%'><span style=3D'font-size=

Page 37: Lec10

:71%'>8</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150562"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:51.48%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>23</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150563"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:39.14%;width:8.93%;height:69.23%'><span lang=3DEN-GB style=3D'font-size:71%'>19</span></div> </div> <div v:shape=3D"_x0000_s150564"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:27.23%;width:8.08%;height:69.23%'><span style=3D'font-size=:71%'>6</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150565"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:14.46%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>12</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150566"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:2.12%;width:8.93%;height:69.23%'><span style=3D'font-size:=71%'>10</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <![if !ppt]></div> <![endif]><v:shape id=3D"_x0000_s150578" type=3D"#_x0000_t202" style=3D'po=

Page 38: Lec10

sition:absolute; left:613.875pt;top:248.25pt;width:26.5pt;height:31.25pt;mso-wrap-style:no=ne; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:top-base=line' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1=]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"5" type=3D"object" effect=3D"cut" direction=3D"noB=lack" flag=3D"17408"/></v:shape> <div id=3D"_x0000_s150578_AllText" v:shape=3D"_x0000_s150578" class=3DO style=3D'position:absolute;top:46.75%;left:86.32%;width:2.24%;height:4.5%; white-space:nowrap'> <div style=3D'mso-char-wrap:1;mso-kinsoku-overflow:1;position:absolute; top:0%;left:0%;width:100.0%;height:100.0%'><span style=3D'font-family:"Cou=rier New"; font-size:83%'>j</span></div> </div> <v:shape id=3D"_x0000_s150579" type=3D"#_x0000_t202" style=3D'position:abs=olute; left:414.625pt;top:249.625pt;width:26.5pt;height:31.25pt;mso-wrap-style:n=one; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:top-base=line' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1=]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"6" type=3D"object" effect=3D"cut" direction=3D"noB=lack" flag=3D"17408"/></v:shape> <div id=3D"_x0000_s150579_AllText" v:shape=3D"_x0000_s150579" class=3DO style=3D'position:absolute;top:47.0%;left:58.61%;width:2.24%;height:4.5%; white-space:nowrap'> <div style=3D'mso-char-wrap:1;mso-kinsoku-overflow:1;position:absolute; top:0%;left:0%;width:100.0%;height:100.0%'><span style=3D'font-family:"Cou=rier New"; font-size:83%'>i</span></div> </div> <v:group id=3D"_x0000_s150580" style=3D'position:absolute;left:371.75pt;to=p:361pt; width:312.875pt;height:31.125pt' coordorigin=3D"2974,2888" coordsize=3D"2=503,249" o:tableproperties=3D"1" o:tablelimits=3D"24.25pt"> <o:lock v:ext=3D"edit" rotation=3D"t"/> <v:rect id=3D"_x0000_s150581" style=3D'position:absolute;left:5164;top:28=88; width:313;height:249' fillcolor=3D"#f90" stroked=3D"f" strokecolor=3D"bl=ack [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150582" style=3D'position:absolute;left:48=51; top:2888;width:313;height:249' fillcolor=3D"#f90" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt">

Page 39: Lec10

<v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150583" style=3D'position:absolute;left:45=38; top:2888;width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150584" style=3D'position:absolute;left:42=25; top:2888;width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150585" style=3D'position:absolute;left:39=13; top:2888;width:312;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150586" style=3D'position:absolute;left:35=99; top:2888;width:314;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150587" style=3D'position:absolute;left:32=87; top:2888;width:312;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150588" style=3D'position:absolute;left:29=74; top:2888;width:313;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:line id=3D"_x0000_s150589" style=3D'position:absolute' from==3D"2974,2888" to=3D"5477,2888" strokecolor=3D"black [1]" strokeweight=3D"1pt">

Page 40: Lec10

<v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150590" style=3D'position:absolute' from==3D"2974,3137" to=3D"5477,3137" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150591" style=3D'position:absolute' from==3D"2974,2888" to=3D"2974,3137" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150592" style=3D'position:absolute' from==3D"3287,2888" to=3D"3287,3137" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150593" style=3D'position:absolute' from==3D"3599,2888" to=3D"3599,3137" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150594" style=3D'position:absolute' from==3D"3913,2888" to=3D"3913,3137" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150595" style=3D'position:absolute' from==3D"4225,2888" to=3D"4225,3137" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150596" style=3D'position:absolute' from==3D"4538,2888" to=3D"4538,3137" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150597" style=3D'position:absolute' from==3D"4851,2888" to=3D"4851,3137" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150598" style=3D'position:absolute' from==3D"5164,2888" to=3D"5164,3137" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=

Page 41: Lec10

width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150599" style=3D'position:absolute' from==3D"5477,2888" to=3D"5477,3137" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><p:animation number=3D"7" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"17408"/></v:group><![if !ppt]> <div id=3D"_x0000_s150580_AllText" style=3D'position:absolute;top:66.75%; left:51.49%;width:44.0%;height:6.5%;white-space:nowrap'><![endif]><![if !v=ml]><img border=3D0 v:shapes=3D"_x0000_s150580,_x0000_s150581,_x0000_s150582,_x0000_s150583,_x=0000_s150584,_x0000_s150585,_x0000_s150586,_x0000_s150587,_x0000_s150588,_x=0000_s150589,_x0000_s150590,_x0000_s150591,_x0000_s150592,_x0000_s150593,_x=0000_s150594,_x0000_s150595,_x0000_s150596,_x0000_s150597,_x0000_s150598,_x=0000_s150599" src=3D"slide0058_image005.gif" style=3D'position:absolute;top:0%;left:0%; width:100.0%;height:100.0%'><![endif]> <div v:shape=3D"_x0000_s150581"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:88.51%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>17</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150582"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:76.17%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>12</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150583"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:64.25%;width:8.08%;height:69.23%'><span style=3D'font-size=:71%'>8</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150584"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>

Page 42: Lec10

<div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:51.48%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>23</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150585"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:39.14%;width:8.93%;height:69.23%'><span lang=3DEN-GB style=3D'font-size:71%'>19</span></div> </div> <div v:shape=3D"_x0000_s150586"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:27.23%;width:8.08%;height:69.23%'><span style=3D'font-size=:71%'>6</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150587"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:14.89%;width:8.08%;height:69.23%'><span style=3D'font-size=:71%'>5</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150588"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:2.12%;width:8.93%;height:69.23%'><span style=3D'font-size:=71%'>10</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <![if !ppt]></div> <![endif]><v:shape id=3D"_x0000_s150600" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:572.375pt;top:328.125pt;width:26.5pt;height:31.25pt;mso-wrap-style:n=one; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:top-base=line' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1=]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/>

Page 43: Lec10

<v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"8" type=3D"object" effect=3D"cut" direction=3D"noB=lack" flag=3D"17408"/></v:shape> <div id=3D"_x0000_s150600_AllText" v:shape=3D"_x0000_s150600" class=3DO style=3D'position:absolute;top:61.5%;left:80.52%;width:2.24%;height:4.5%; white-space:nowrap'> <div style=3D'mso-char-wrap:1;mso-kinsoku-overflow:1;position:absolute; top:0%;left:0%;width:100.0%;height:100.0%'><span style=3D'font-family:"Cou=rier New"; font-size:83%'>j</span></div> </div> <v:shape id=3D"_x0000_s150601" type=3D"#_x0000_t202" style=3D'position:abs=olute; left:494.625pt;top:328pt;width:26.5pt;height:31.25pt;mso-wrap-style:none; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:top-base=line' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1=]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"9" type=3D"object" effect=3D"cut" direction=3D"noB=lack" flag=3D"17408"/></v:shape> <div id=3D"_x0000_s150601_AllText" v:shape=3D"_x0000_s150601" class=3DO style=3D'position:absolute;top:61.5%;left:69.66%;width:2.24%;height:4.5%; white-space:nowrap'> <div style=3D'mso-char-wrap:1;mso-kinsoku-overflow:1;position:absolute; top:0%;left:0%;width:100.0%;height:100.0%'><span style=3D'font-family:"Cou=rier New"; font-size:83%'>i</span></div> </div> <v:group id=3D"_x0000_s150602" style=3D'position:absolute;left:371.75pt;to=p:445pt; width:312.875pt;height:31.125pt' coordorigin=3D"2974,3560" coordsize=3D"2=503,249" o:tableproperties=3D"1" o:tablelimits=3D"24.25pt"> <o:lock v:ext=3D"edit" rotation=3D"t"/> <v:rect id=3D"_x0000_s150603" style=3D'position:absolute;left:5164;top:35=60; width:313;height:249' fillcolor=3D"#f90" stroked=3D"f" strokecolor=3D"bl=ack [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150604" style=3D'position:absolute;left:48=51; top:3560;width:313;height:249' fillcolor=3D"#f90" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150605" style=3D'position:absolute;left:45=38; top:3560;width:313;height:249' fillcolor=3D"#f90" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt">

Page 44: Lec10

<v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150606" style=3D'position:absolute;left:42=25; top:3560;width:313;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150607" style=3D'position:absolute;left:39=13; top:3560;width:312;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150608" style=3D'position:absolute;left:35=99; top:3560;width:314;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150609" style=3D'position:absolute;left:32=87; top:3560;width:312;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150610" style=3D'position:absolute;left:29=74; top:3560;width:313;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:line id=3D"_x0000_s150611" style=3D'position:absolute' from==3D"2974,3560" to=3D"5477,3560" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150612" style=3D'position:absolute' from==3D"2974,3809" to=3D"5477,3809" strokecolor=3D"black [1]" strokeweight=3D"2.25pt">

Page 45: Lec10

<v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150613" style=3D'position:absolute' from==3D"2974,3560" to=3D"2974,3809" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150614" style=3D'position:absolute' from==3D"3287,3560" to=3D"3287,3809" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150615" style=3D'position:absolute' from==3D"3599,3560" to=3D"3599,3809" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150616" style=3D'position:absolute' from==3D"3913,3560" to=3D"3913,3809" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150617" style=3D'position:absolute' from==3D"4225,3560" to=3D"4225,3809" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150618" style=3D'position:absolute' from==3D"4538,3560" to=3D"4538,3809" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150619" style=3D'position:absolute' from==3D"4851,3560" to=3D"4851,3809" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150620" style=3D'position:absolute' from==3D"5164,3560" to=3D"5164,3809" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150621" style=3D'position:absolute' from==3D"5477,3560" to=3D"5477,3809" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=

Page 46: Lec10

width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><p:animation number=3D"10" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"17408"/></v:group><![if !ppt]> <div id=3D"_x0000_s150602_AllText" style=3D'position:absolute;top:82.25%; left:51.49%;width:44.0%;height:6.5%;white-space:nowrap'><![endif]><![if !v=ml]><img border=3D0 v:shapes=3D"_x0000_s150602,_x0000_s150603,_x0000_s150604,_x0000_s150605,_x=0000_s150606,_x0000_s150607,_x0000_s150608,_x0000_s150609,_x0000_s150610,_x=0000_s150611,_x0000_s150612,_x0000_s150613,_x0000_s150614,_x0000_s150615,_x=0000_s150616,_x0000_s150617,_x0000_s150618,_x0000_s150619,_x0000_s150620,_x=0000_s150621" src=3D"slide0058_image006.gif" style=3D'position:absolute;top:0%;left:0%; width:100.0%;height:100.0%'><![endif]> <div v:shape=3D"_x0000_s150603"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:88.51%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>17</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150604"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:76.17%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>12</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150605"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:63.82%;width:8.93%;height:69.23%'><span lang=3DEN-GB style=3D'font-size:71%'>19</span></div> </div> <div v:shape=3D"_x0000_s150606"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:51.48%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>23</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150607"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>

Page 47: Lec10

<div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:39.57%;width:8.08%;height:69.23%'><span lang=3DEN-GB style=3D'font-size:71%'>8</span></div> </div> <div v:shape=3D"_x0000_s150608"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:27.23%;width:8.08%;height:69.23%'><span style=3D'font-size=:71%'>6</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150609"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:14.89%;width:8.08%;height:69.23%'><span style=3D'font-size=:71%'>5</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150610"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:2.12%;width:8.93%;height:69.23%'><span style=3D'font-size:=71%'>10</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <![if !ppt]></div> <![endif]><v:shape id=3D"_x0000_s150622" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:533.375pt;top:412.125pt;width:26.5pt;height:31.25pt;mso-wrap-style:n=one; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:top-base=line' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1=]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"12" type=3D"object" effect=3D"cut" direction=3D"no=Black" flag=3D"17408"/></v:shape> <div id=3D"_x0000_s150622_AllText" v:shape=3D"_x0000_s150622" class=3DO style=3D'position:absolute;top:77.25%;left:75.09%;width:2.24%;height:4.5%; white-space:nowrap'> <div style=3D'mso-char-wrap:1;mso-kinsoku-overflow:1;position:absolute; top:0%;left:0%;width:100.0%;height:100.0%'><span style=3D'font-family:"Cou=

Page 48: Lec10

rier New"; font-size:83%'>i</span></div> </div> <v:shape id=3D"_x0000_s150623" type=3D"#_x0000_t202" style=3D'position:abs=olute; left:494.625pt;top:412pt;width:26.5pt;height:31.25pt;mso-wrap-style:none; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:top-base=line' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1=]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"11" type=3D"object" effect=3D"cut" direction=3D"no=Black" flag=3D"17408"/></v:shape> <div id=3D"_x0000_s150623_AllText" v:shape=3D"_x0000_s150623" class=3DO style=3D'position:absolute;top:77.25%;left:69.66%;width:2.24%;height:4.5%; white-space:nowrap'> <div style=3D'mso-char-wrap:1;mso-kinsoku-overflow:1;position:absolute; top:0%;left:0%;width:100.0%;height:100.0%'><span style=3D'font-family:"Cou=rier New"; font-size:83%'>j</span></div> </div> <v:group id=3D"_x0000_s150624" style=3D'position:absolute;left:371.75pt;to=p:445.75pt; width:312.875pt;height:31.125pt' coordorigin=3D"2974,3566" coordsize=3D"2=503,249" o:tableproperties=3D"1" o:tablelimits=3D"24.25pt"> <o:lock v:ext=3D"edit" rotation=3D"t"/> <v:rect id=3D"_x0000_s150625" style=3D'position:absolute;left:5164;top:35=66; width:313;height:249' fillcolor=3D"#f90" stroked=3D"f" strokecolor=3D"bl=ack [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150626" style=3D'position:absolute;left:48=51; top:3566;width:313;height:249' fillcolor=3D"#f90" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150627" style=3D'position:absolute;left:45=38; top:3566;width:313;height:249' fillcolor=3D"#f90" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150628" style=3D'position:absolute;left:42=25; top:3566;width:313;height:249' fillcolor=3D"#f90" stroked=3D"f" strokeco=lor=3D"black [1]"

Page 49: Lec10

strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150629" style=3D'position:absolute;left:39=13; top:3566;width:312;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150630" style=3D'position:absolute;left:35=99; top:3566;width:314;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150631" style=3D'position:absolute;left:32=87; top:3566;width:312;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150632" style=3D'position:absolute;left:29=74; top:3566;width:313;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:line id=3D"_x0000_s150633" style=3D'position:absolute' from==3D"2974,3566" to=3D"5477,3566" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150634" style=3D'position:absolute' from==3D"2974,3815" to=3D"5477,3815" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150635" style=3D'position:absolute' from==3D"2974,3566" to=3D"2974,3815" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=

Page 50: Lec10

width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150636" style=3D'position:absolute' from==3D"3287,3566" to=3D"3287,3815" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150637" style=3D'position:absolute' from==3D"3599,3566" to=3D"3599,3815" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150638" style=3D'position:absolute' from==3D"3913,3566" to=3D"3913,3815" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150639" style=3D'position:absolute' from==3D"4225,3566" to=3D"4225,3815" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150640" style=3D'position:absolute' from==3D"4538,3566" to=3D"4538,3815" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150641" style=3D'position:absolute' from==3D"4851,3566" to=3D"4851,3815" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150642" style=3D'position:absolute' from==3D"5164,3566" to=3D"5164,3815" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150643" style=3D'position:absolute' from==3D"5477,3566" to=3D"5477,3815" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><p:animation number=3D"10" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"17408"/></v:group><![if !ppt]> <div id=3D"_x0000_s150624_AllText" style=3D'position:absolute;top:82.25%; left:51.49%;width:44.0%;height:6.5%;white-space:nowrap'><![endif]><![if !v=ml]><img

Page 51: Lec10

border=3D0 v:shapes=3D"_x0000_s150624,_x0000_s150625,_x0000_s150626,_x0000_s150627,_x=0000_s150628,_x0000_s150629,_x0000_s150630,_x0000_s150631,_x0000_s150632,_x=0000_s150633,_x0000_s150634,_x0000_s150635,_x0000_s150636,_x0000_s150637,_x=0000_s150638,_x0000_s150639,_x0000_s150640,_x0000_s150641,_x0000_s150642,_x=0000_s150643" src=3D"slide0058_image007.gif" style=3D'position:absolute;top:0%;left:0%; width:100.0%;height:100.0%'><![endif]> <div v:shape=3D"_x0000_s150625"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:19.23%;left:88.51%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>17</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150626"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:19.23%;left:76.17%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>12</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150627"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:19.23%;left:63.82%;width:8.93%;height:69.23%'><span lang=3DEN-GB style=3D'font-size:71%'>19</span></div> </div> <div v:shape=3D"_x0000_s150628"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:19.23%;left:51.48%;width:8.93%;height:69.23%'><span style=3D'font-size=:71%'>23</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150629"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:19.23%;left:39.57%;width:8.08%;height:69.23%'><span lang=3DEN-GB style=3D'font-size:71%'>8</span></div> </div>

Page 52: Lec10

<div v:shape=3D"_x0000_s150630"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:19.23%;left:27.23%;width:8.08%;height:69.23%'><span style=3D'font-size=:71%'>6</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150631"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:19.23%;left:14.89%;width:8.08%;height:69.23%'><span style=3D'font-size=:71%'>5</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <div v:shape=3D"_x0000_s150632"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:19.23%;left:2.12%;width:8.93%;height:69.23%'><span style=3D'font-size:=71%'>10</span><span lang=3DEN-GB style=3D'font-size:71%;mso-special-format:lastCR;display:none='>&#13;</span></div> </div> <![if !ppt]></div> <![endif]><v:group id=3D"_x0000_s150644" style=3D'position:absolute;left:2=09.25pt; top:247.375pt;width:146.5pt;height:31.125pt' coordorigin=3D"1635,1996" coordsize=3D"1172,249" o:tableproperties=3D"1" o:tablelimits=3D"22.25pt"> <o:lock v:ext=3D"edit" rotation=3D"t"/> <v:rect id=3D"_x0000_s150645" style=3D'position:absolute;left:2586;top:19=96; width:221;height:249' fillcolor=3D"#f90" stroked=3D"f" strokecolor=3D"bl=ack [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150646" style=3D'position:absolute;left:18=11; top:1996;width:775;height:249' fillcolor=3D"white [0]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s150647" style=3D'position:absolute;left:16=35; top:1996;width:176;height:249' fillcolor=3D"#69f" stroked=3D"f" strokeco=

Page 53: Lec10

lor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:line id=3D"_x0000_s150648" style=3D'position:absolute' from==3D"1635,1996" to=3D"2807,1996" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150649" style=3D'position:absolute' from==3D"1635,2245" to=3D"2807,2245" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150650" style=3D'position:absolute' from==3D"1635,1996" to=3D"1635,2245" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150651" style=3D'position:absolute' from==3D"1811,1996" to=3D"1811,2245" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150652" style=3D'position:absolute' from==3D"2586,1996" to=3D"2586,2245" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s150653" style=3D'position:absolute' from==3D"2807,1996" to=3D"2807,2245" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><p:animation number=3D"4" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"17408"/></v:group><![if !ppt]> <div id=3D"_x0000_s150644_AllText" style=3D'position:absolute;top:45.5%; left:28.83%;width:20.97%;height:6.5%;white-space:nowrap'><![endif]><![if !=vml]><img border=3D0 v:shapes=3D"_x0000_s150644,_x0000_s150645,_x0000_s150646,_x0000_s150647,_x=0000_s150648,_x0000_s150649,_x0000_s150650,_x0000_s150651,_x0000_s150652,_x=0000_s150653" src=3D"slide0058_image008.gif" style=3D'position:absolute;top:0%;left:0%; width:100.0%;height:100.0%'><![endif]> <div v:shape=3D"_x0000_s150645"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>

Page 54: Lec10

<div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0'><span style=3D'position:absolute;top:19.23%;left:84.82%;width:9.82%;height:69.23=%'><span style=3D'font-size:71%;mso-special-format:lastCR;display:none'>&#13;</span=></span></div> </div> <div v:shape=3D"_x0000_s150646"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:15.38%;left:16.07%;width:64.28%;height:73.07%'><span lang=3DEN-GB style=3D'mso-ascii-font-family:Symbol;font-size:71%'><b>&pound; </b></span=><span lang=3DEN-GB style=3D'font-size:71%'>X=3D10 </span><span lang=3DEN-GB style=3D'mso-ascii-font-family:Symbol;font-size:71%'><b>&pound;</b></span>=</div> </div> <div v:shape=3D"_x0000_s150647"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0'><span style=3D'position:absolute;top:19.23%;left:6.25%;width:5.35%;height:69.23%='><span style=3D'font-size:71%;mso-special-format:lastCR;display:none'>&#13;</span=></span></div> </div> <![if !ppt]></div> <![endif]></p:slide></div>

<p:animation number=3D"-204788843"/><oa:par id=3D"TimeNode0" dur=3D"indefin=ite" restart=3D"never" p:nodeType=3D"timingRoot"> <oa:seq id=3D"TimeNode1" dur=3D"indefinite" prev=3D"document.onpptprev" next=3D"document.onpptnext" concurrent=3D"enabled" nextAction=3D"seek" p:nodeType=3D"mainSeq"> <oa:par id=3D"TimeNode2" begin=3D"indefinite;TimeNode1.onbegin" fill=3D"h=old"> <oa:par id=3D"TimeNode3" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode4" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"afte=rEffect"> <oa:set id=3D"TimeNode5" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150553" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode6" o:presetID=3D"ppt_1" o:presetClass==3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"with=Effect"> <oa:set id=3D"TimeNode7" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150553_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode8" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode9" begin=3D"0.0" fill=3D"hold">

Page 55: Lec10

<oa:par id=3D"TimeNode10" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode11" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150557" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode12" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode13" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150557_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]><oa:set id=3D"TimeNode14" begin=3D"0.0" dur=3D"0.001" fill=3D="hold" o:display=3D"hidden" o:master=3D"TimeNode4" o:masterRel=3D"nextClick" o:afterEffect=3D"true" p:nodeType=3D"withEffect" targetElement=3D"_x00=00_s150553" attributeName=3D"style.visibility" override=3D"childStyle" to=3D"hidde=n"/> <![if !ppt]><oa:set id=3D"TimeNode15" begin=3D"0.0" dur=3D"0.001" fill==3D"hold" o:display=3D"hidden" o:masterRel=3D"nextClick" o:afterEffect=3D"true" p:nodeType=3D"withEffect" targetElement=3D"_x0000_s150553_AllText" attributeName=3D"style.visibility" override=3D"childStyle" to=3D"hidde=n"/> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode16" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode17" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode18" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode19" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150556" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode20" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode21" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150556_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode22" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode23" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode24" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode25" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150558" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode26" o:presetID=3D"ppt_1"

Page 56: Lec10

o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode27" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150558_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode28" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode29" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode30" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode31" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150644" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode32" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode33" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150644_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode34" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode35" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode36" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode37" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150578" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode38" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode39" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150578_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode40" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode41" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode42" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode43" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150579" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode44" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=

Page 57: Lec10

=3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode45" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150579_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode46" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode47" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode48" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode49" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150580" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode50" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode51" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150580_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode52" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode53" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode54" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode55" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150600" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode56" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode57" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150600_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode58" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode59" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode60" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode61" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150601" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode62" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold"

Page 58: Lec10

p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode63" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150601_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode64" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode65" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode66" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode67" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150602" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode68" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode69" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150602_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode70" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode71" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode72" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode73" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150624" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode74" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode75" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150624_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode76" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode77" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode78" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode79" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150623" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode80" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect">

Page 59: Lec10

<oa:set id=3D"TimeNode81" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150623_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode82" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode83" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode84" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode85" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150622" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode86" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode87" begin=3D"0.499" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s150622_AllText" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> </oa:seq></oa:par><![if ppt]><oa:buildParagraph targetElement=3D"_x0000_s150556" groupID=3D"0" build=3D"=asAWhole" buildLevel=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd==3D"true"/><oa:buildParagraph targetElement=3D"_x0000_s150557" groupID=3D"0" build=3D"asAWhole" buildLev=el=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"true"/><oa:bu=ildParagraph targetElement=3D"_x0000_s150578" groupID=3D"0" build=3D"asAWhole" buildLev=el=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"true"/><oa:bu=ildParagraph targetElement=3D"_x0000_s150579" groupID=3D"0" build=3D"asAWhole" buildLev=el=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"true"/><oa:bu=ildParagraph targetElement=3D"_x0000_s150600" groupID=3D"0" build=3D"asAWhole" buildLev=el=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"true"/><oa:bu=ildParagraph targetElement=3D"_x0000_s150601" groupID=3D"0" build=3D"asAWhole" buildLev=el=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"true"/><oa:bu=ildParagraph targetElement=3D"_x0000_s150622" groupID=3D"0" build=3D"asAWhole" buildLev=el=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"true"/><oa:bu=ildParagraph targetElement=3D"_x0000_s150623" groupID=3D"0" build=3D"asAWhole" buildLev=el=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"true"/><![endif]></body>

Page 60: Lec10

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0058_image002.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlh6wAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAADqABkAgQAAAAAAAP///wECAwL/RI6py+0Po5y02ouzDiaID4biOHrkiYJmyoprC78wK89obZN47iJ8uvt9gkLiz8hD5pQ25iwhPDljUWlVdy1lXdvQtAXtCr408dA8RpOBarVPvL61zXErfQ5/d+vYux+Ot+d28CdYuMWndZiV2EMIuHjV6BWIWMmoZxlZNalyKfnJmckYGtV5tmlaWjQKmlq0ehSbNHh6mvYqm0u7u9TKObsU3DT8VNtLjGysTMUM9qvqXCbNRi1HBw1rbQfZbeiNmK0LTrrdR+6a9/jNrokObK6oblvc/B59rz0fz8VP6e8J4BBxvPKNa1fOYME9BIUJxKXQYcRk8zZYvIgxo8aNDhw3dugIMqTIkSRJAigAADs=

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0058_image003.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlhDQEaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAABAAEAgAAAAAECAwICRAEAOw==

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0058_image004.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0058_image005.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0058_image006.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

Page 61: Lec10

meB4+rPpkulNnSalak1qtepSokW3Ho1KNWdXs2B3QpWm1YPbt3Djyp1Lt24AEHbz6t3Lt29dAAkAADs=

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0058_image007.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0058_image008.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlhcAAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQBvABgAggAAAAAAAGaZ//+ZAP///wECAwECAwECAwO9GLrc/jDKSauFIuvNA/lgKI5kaZ6oGAxs674uw82bl954rq9w/8o0mk1HLBZ5viQw2DE6nyhksrdkaobQbFY6/S2sTa34ye22qmDseI0rmwdoq5pNN7nNcea8zg/du3lBe319f1OBQoSKfm8wiDODi2yGSl9gV5KLlD6PYZmFjV4Kl5ifoKFnlqSRpluoqaOkAqytZK8snTW1dZtUqpe0u0e3cL9pwpPEuaXIYr2OF9HS09TVDwDW2drb1AAJADs=

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0059.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0059.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Quick Sort Algorithm"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;

Page 62: Lec10

width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"148"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>4<=/span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s151554" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:1in' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s151555" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:156pt;width:9in;height:306pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape><v:rect id=3D"_x00=00_s151556" style=3D'position:absolute;left:84pt;top:3in;width:462pt;height:151pt' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1=]" strokeweight=3D"1pt">

Page 63: Lec10

<v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:rect> <div v:shape=3D"_x0000_s151554" class=3DT style=3D'position:absolute;top:9=.5%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Quick Sort Algorithm</=span></div> <div v:shape=3D"_x0000_s151555" class=3DB style=3D'position:absolute;top:3=0.0%; left:5.99%;width:91.76%;height:6.75%'><span style=3D'position:absolute; top:0%;left:4.08%;width:95.91%;height:100.0%'><span class=3DBB style=3D'po=sition: absolute;left:-4.25%;top:.3em'>&uml;</span><span lang=3DDA>Initial call </=span><span lang=3DDA><b>Quicksort(A, 1, length[A])</b></span></span></div> <div v:shape=3D"_x0000_s151556" class=3DO style=3D'tab-stops:.25in .4722in= .7083in .9444in 1.1805in 1.4166in 1.6527in 1.8906in 2.1267in 2.3628in 2.59=89in'> <div style=3D'text-align:justify;position:absolute;top:41.0%;left:12.73%; width:32.2%;height:5.25%'><nobr><span lang=3DEN-GB style=3D'font-family:"C=ourier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New"'><b>Quicksort(A,p,r)&#13;</b></span></=nobr></div> <div style=3D'text-align:justify;position:absolute;top:46.0%;left:12.73%; width:18.72%;height:5.5%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"'>01=</span><span style=3D'mso-ascii-font-family:"Times New Roman";mso-bidi-font-family:"Tim=es New Roman"'>&nbsp;&nbsp; </span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Cou=rier New"; mso-bidi-font-family:"Courier New"'><b>if</b></span><span style=3D'font-fa=mily: "Courier New";mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Co=urier New"'> p&lt;r&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:51.0%;left:12.73%; width:61.79%;height:6.0%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"'>02=</span><span style=3D'mso-ascii-font-family:"Times New Roman";mso-bidi-font-family:"Tim=es New Roman"'>&nbsp;&nbsp; </span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Cou=rier New"; mso-bidi-font-family:"Courier New"'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;</span></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New"'><b>then</b></span><span style=3D'font-=family: "Courier New";mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Co=urier New"'> q </span><span style=3D'mso-ascii-font-family:Symbol;mso-bidi-font-family:="Courier New"'>&not;</span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Times New Roman";mso-hansi-font-family:"Courier New"='>Partition(A,p,r)</span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; display:none'>&#13;</span></nobr></div>

Page 64: Lec10

<div style=3D'text-align:justify;position:absolute;top:56.75%;left:12.73%; width:54.11%;height:5.25%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New"'>03&nbsp;&nbsp;&nbsp;&nbsp; </span><sp=an style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"'><s=pan style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;</span></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Times New Roman";mso-hansi-font-family:"Courier New"='>Quicksort(A,p,q)</span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; display:none'>&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:62.25%;left:12.73%; width:58.05%;height:5.25%'><nobr><span style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New"'>04&nbsp;&nbsp;&nbsp;&nbsp; </span><sp=an style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"'><s=pan style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;</span></span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Times New Roman";mso-hansi-font-family:"Courier New"='>Quicksort(A,q+1,r)</span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-hansi-font-family:"Courier New";mso-special-format:lastCR;display:none='>&#13;</span></nobr></div> </div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0060.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title>

Page 65: Lec10

<![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0060.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Analysis of Quicksort"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"149"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>5<=/span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s152578" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:108pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s152579" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:156pt;width:9in;height:306pt'

Page 66: Lec10

o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s152578" class=3DT style=3D'position:absolute;top:1=2.75%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Analysis of Quicksort<=/span></div> <div v:shape=3D"_x0000_s152579" class=3DB> <div style=3D'position:absolute;top:30.0%;left:5.99%;width:103.74%;height:=6.75%'><span style=3D'position:absolute;top:0%;left:3.61%;width:96.38%;height:100.0%'><=span class=3DBB style=3D'position:absolute;left:-3.74%;top:.3em'>&uml;</span><s=pan lang=3DDA>Assume that all input elements are distinct&#13;</span></span></=div> <span style=3D'position:absolute;top:38.5%;left:9.73%;width:84.45%;height:=6.75%'><span class=3DBB style=3D'position:absolute;left:-4.43%;top:.3em'>&uml;</span><s=pan lang=3DDA>The running time depends on the </span></span><span style=3D'pos=ition: absolute;top:45.5%;left:9.73%;width:84.45%;height:6.75%'><span lang=3DDA>d=istribution of splits</span></span></div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0061.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><link rel=3DOLE-Object-Data href=3Doledata.mso><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0061.htm"id=3D"webarch_temp_base_tag">

Page 67: Lec10

<![endif]><meta name=3DDescription content=3D"2/5/2005: Best Case"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"150"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>6<=/span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s153602" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:60pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s153603" type==3D"#_x0000_m132111" style=3D'position:absolute;left:54pt;top:102pt;width:618pt;height:54pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/>

Page 68: Lec10

<o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s153602" class=3DT style=3D'position:absolute;top:8=.25%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA><span style=3D'mso-spacerun:yes'>&nbsp;</span>Best Case</span></div> <div v:shape=3D"_x0000_s153603" class=3DB style=3D'position:absolute;top:2=0.0%; left:8.42%;width:100.0%;height:6.0%'><span style=3D'position:absolute; top:0%;left:3.74%;width:96.25%;height:100.0%'><span style=3D'font-size:88%='><span class=3DBB style=3D'position:absolute;left:-3.89%;top:.3em'>&uml;</span></=span><span lang=3DDA style=3D'font-size:88%'>If we are lucky, Partition splits the ar=ray evenly</span></span></div> <v:shapetype id=3D"_x0000_t75" coordsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=3D"t" path=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" strok=ed=3D"f"> <v:stroke joinstyle=3D"miter"/> <v:formulas> <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/> <v:f eqn=3D"sum @0 1 0"/> <v:f eqn=3D"sum 0 0 @1"/> <v:f eqn=3D"prod @2 1 2"/> <v:f eqn=3D"prod @3 21600 pixelWidth"/> <v:f eqn=3D"prod @3 21600 pixelHeight"/> <v:f eqn=3D"sum @0 0 1"/> <v:f eqn=3D"prod @6 1 2"/> <v:f eqn=3D"prod @7 21600 pixelWidth"/> <v:f eqn=3D"sum @8 21600 0"/> <v:f eqn=3D"prod @7 21600 pixelHeight"/> <v:f eqn=3D"sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" aspectratio=3D"t"/> </v:shapetype><v:shape id=3D"_x0000_s153604" type=3D"#_x0000_t75" style=3D='position:absolute; left:90pt;top:3in;width:534.875pt;height:298.75pt' fillcolor=3D"#99f [4]" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:imagedata src=3D"slide0061_image009.png" o:title=3D""/> <v:shadow color=3D"#00007d [2]"/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"MSPhotoEd.3" ShapeID=3D"_x0000_s153604" DrawAspect=3D"Content" ObjectID=3D"1"> <p:oleclientdata menuname=3D"Photo Editor Photo" clipboardname=3D"Microsoft Photo Editor 3.0 Photo"/></o:OLEObject> <![if !vml]><img border=3D0 v:shapes=3D"_x0000_s153604" src=3D"slide0061_image010.gif" style=3D'position:absolute;top:40.0%;left:1=2.54%; width:74.34%;height:55.25%'><![endif]><v:shape id=3D"_x0000_s153605" type==3D"#_x0000_t75" style=3D'position:absolute;left:210pt;top:162pt;width:280.375pt;height:38=.5pt'> <v:imagedata src=3D"slide0061_image011.wmz" o:title=3D""/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_s153605" DrawAspect=3D"Content" ObjectID=3D"11"> <p:oleclientdata subtype=3D"equation" menuname=3D"Equation" clipboardname=3D"MathType 4.0 Equation"/></o:OLEObject> <![if !vml]><img border=3D0 v:shapes=3D"_x0000_s153605" src=3D"slide0061_image012.gif" style=3D'position:absolute;top:30.0%;left:2=

Page 69: Lec10

9.21%; width:38.95%;height:7.25%'><![endif]></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0061_image009.pngContent-Transfer-Encoding: base64Content-Type: image/png

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

Page 70: Lec10

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

Page 71: Lec10

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

Page 72: Lec10

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

Page 73: Lec10

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

Page 74: Lec10

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

Page 75: Lec10

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

Page 76: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0061_image010.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

Page 77: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0061_image011.wmzContent-Transfer-Encoding: base64Content-Type: image/x-wmz

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0061_image012.gifContent-Transfer-Encoding: base64Content-Type: image/gif

Page 78: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0062.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><link rel=3DOLE-Object-Data href=3Doledata.mso><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0062.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Worst Case"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );

Page 79: Lec10

//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"151"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>7<=/span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s154626" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:1in' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s154627" type==3D"#_x0000_m132111" style=3D'position:absolute;left:18pt;top:114pt;width:702pt;height:108pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s154626" class=3DT style=3D'position:absolute;top:9=.5%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Worst Case</span></div> <div v:shape=3D"_x0000_s154627" class=3DB> <div style=3D'position:absolute;top:22.25%;left:3.55%;width:95.69%;height:=6.75%'><span style=3D'position:absolute;top:0%;left:3.91%;width:96.08%;height:100.0%'><=span class=3DBB style=3D'position:absolute;left:-4.07%;top:.3em'>&uml;</span><s=pan lang=3DDA>What is the worst case?&#13;</span></span></div> <div style=3D'position:absolute;top:30.75%;left:3.55%;width:111.04%;height=

Page 80: Lec10

:6.75%'><span style=3D'position:absolute;top:0%;left:3.37%;width:96.62%;height:100.0%'><=span class=3DBB style=3D'position:absolute;left:-3.49%;top:.3em'>&uml;</span><s=pan lang=3DDA>One side of the parition has only one element</span></span></div> </div> <v:shapetype id=3D"_x0000_t75" coordsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=3D"t" path=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" strok=ed=3D"f"> <v:stroke joinstyle=3D"miter"/> <v:formulas> <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/> <v:f eqn=3D"sum @0 1 0"/> <v:f eqn=3D"sum 0 0 @1"/> <v:f eqn=3D"prod @2 1 2"/> <v:f eqn=3D"prod @3 21600 pixelWidth"/> <v:f eqn=3D"prod @3 21600 pixelHeight"/> <v:f eqn=3D"sum @0 0 1"/> <v:f eqn=3D"prod @6 1 2"/> <v:f eqn=3D"prod @7 21600 pixelWidth"/> <v:f eqn=3D"sum @8 21600 0"/> <v:f eqn=3D"prod @7 21600 pixelHeight"/> <v:f eqn=3D"sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" aspectratio=3D"t"/> </v:shapetype><v:shape id=3D"_x0000_s154628" type=3D"#_x0000_t75" style=3D='position:absolute; left:1in;top:228pt;width:287.875pt;height:252.625pt'> <v:imagedata src=3D"slide0062_image013.wmz" o:title=3D""/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_s154628" DrawAspect=3D"Content" ObjectID=3D"3"> <p:oleclientdata subtype=3D"equation" menuname=3D"Equation" clipboardname=3D"MathType 4.0 Equation"/></o:OLEObject> <![if !vml]><img border=3D0 v:shapes=3D"_x0000_s154628" src=3D"slide0062_image014.gif" style=3D'position:absolute;top:42.25%;left:=9.92%; width:40.07%;height:46.75%'><![endif]></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0062_image013.wmzContent-Transfer-Encoding: base64Content-Type: image/x-wmz

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

Page 81: Lec10

3GqrCx9Zv0pmQvfEYiYbT1XuTxzz+wvsG9ybKAsAAA==

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0062_image014.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0063.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><link rel=3DOLE-Object-Data href=3Doledata.mso><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}

Page 82: Lec10

v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0063.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Worst Case (2)"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"152"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>8<=/span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s155650" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:78pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/>

Page 83: Lec10

<p:placeholder type=3D"title"/></v:shape> <div v:shape=3D"_x0000_s155650" class=3DT style=3D'position:absolute;top:1=0.0%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Worst Case (2)</span><=/div> <v:shapetype id=3D"_x0000_t75" coordsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=3D"t" path=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" strok=ed=3D"f"> <v:stroke joinstyle=3D"miter"/> <v:formulas> <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/> <v:f eqn=3D"sum @0 1 0"/> <v:f eqn=3D"sum 0 0 @1"/> <v:f eqn=3D"prod @2 1 2"/> <v:f eqn=3D"prod @3 21600 pixelWidth"/> <v:f eqn=3D"prod @3 21600 pixelHeight"/> <v:f eqn=3D"sum @0 0 1"/> <v:f eqn=3D"prod @6 1 2"/> <v:f eqn=3D"prod @7 21600 pixelWidth"/> <v:f eqn=3D"sum @8 21600 0"/> <v:f eqn=3D"prod @7 21600 pixelHeight"/> <v:f eqn=3D"sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" aspectratio=3D"t"/> </v:shapetype><v:shape id=3D"_x0000_s155651" type=3D"#_x0000_t75" style=3D='position:absolute; left:119.875pt;top:119.125pt;width:462pt;height:338.25pt' fillcolor=3D"#9=9f [4]" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:imagedata src=3D"slide0063_image015.png" o:title=3D""/> <v:shadow color=3D"#00007d [2]"/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"MSPhotoEd.3" ShapeID=3D"_x0000_s155651" DrawAspect=3D"Content" ObjectID=3D"4"> <p:oleclientdata menuname=3D"Photo Editor Photo" clipboardname=3D"Microsoft Photo Editor 3.0 Photo"/></o:OLEObject> <![if !vml]><img border=3D0 v:shapes=3D"_x0000_s155651" src=3D"slide0063_image016.gif" style=3D'position:absolute;top:22.0%;left:1=6.66%; width:64.23%;height:62.75%'><![endif]></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0063_image015.pngContent-Transfer-Encoding: base64Content-Type: image/png

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

Page 84: Lec10

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

Page 85: Lec10

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

Page 86: Lec10

bkg9R5mtuWsPAQLlChQd0MplUzMCBKYSmDNIzVn2VO1XDgECBO4SKOIUp64hQGCbAnMHqP5snNOd2xxjWk2gVgEBrdaeU28ClQvMHc4yj5BW+UBRfQIbFRDQNtrxmk1gTYGlwpmQtmYv2zcBAucICGjn6NmWAIHBAkuHMyFtcBfZgACBAgSKDGjuYVTAyFAFAjMIrBXOhLQZOlORBAjMKlBkQJu1xQonQGAVgbXDmZC2SrfbKQECIwUEtJFwNiNA4HSBUsKZkHZ6n3kmAQLrCgho6/rbO4HmBUoLZ0Ja80NOAwk0ISCgNdGNGkGgTIFSw5mQVuZ4USsCBP4TENCMBgIEZhEoPZwJabN0u0IJEJhIQECbCFIxBAj8J1BLOBPSjFoCBEoVENBK7Rn1IlCpQG3hTEirdKCpNoHGBQS0xjtY8wgsKVBrOBPSlhwl9kWAwCkCAtopSp5DgMCjArWHMyHt0S72BAIEFhQQ0BbEtisCrQq0Es6EtFZHqHYRqE9AQKuvz9SYQFECrYUzIa2o4aUyBDYrIKBttus1nMD5Aq2GMyHt/LGhBAIEzhMQ0M7zszWBzQq0Hs6EtM0ObQ0nUISAgFZEN6gEgboEthLOhLS6xqXaEmhJQEBrqTe1hcACAlsLZ0LaAoPKLggQ+EdAQDMoCBAYJXA4HPajNqx4o36b+0G14iapOgEChQoIaIV2jGoRKFEgh5IthjMzaSWOSHUi0K6AgNZu32oZgUkFhLP/OM2kTTq0FEaAwB0CApphQYDAowLC2b9EW55FfHTAeAIBAmcLCGhnEyqAQPsCEUYEEiGt/ZGuhQTKERDQyukLNSFAoEKBCK4uGKiw41SZQOECAlrhHaR6BM4VuLq6Orx///5wbjm2v19ASDM6CNQh8OnTp8PTp08P379/L/6YKKDVMabUksBggQhmz58/P1xeXu5+/vw5eHsbDBPIIc1s2jA3zyawpEAcC//8+VPFMVFAW3Jk2BeBhQTSQejw4sWL3Zs3bxbao92EgLV6xgGBsgU+fvy4i5+Li4uyK5pqFwt/i6ukK8aK6xIVqlQgpvFfv369e/Xq1e7bt2+bu7Fspd2m2gQIENiZQTMICBAgQIAAAQKFCQhohXWI6hAgQIAAAQIEBDRjgAABAgQIECBQmICAVliHqA4BAu0JxLpaV3e2169aVJ+A22zU12dqTIAAgdkEfAvDbLQKJjBIwG02BnF5MgECBNoXcDPb9vtYC8sXqOk2G05xlj+e1JAAgUYE3My2kY7UjGoFnj17tn/37t3+yZMnxd92SECrdpipOAECNQq4mW2NvabOBJYXENCWN7dHAgQIECBAgMCDAgKaAUKAAAECBAgQKExAQCusQ1SHwBwC8eXAHgQIENi6gNtsbH0EaD+BlQWur68PcSC6vLzsahKXlqe/H66ursr78t2VreyeAIHtCNR0mw1flr6dcamlBAgULJBvZOueaQV3kqpVLxAfXr9+/bq7uLjYlX4lp4BW/XDTAAIEWhGIkCagtdKb2kHgPAFr0M7zszUBAgQmE3Az28koFUSgegEBrfou1AACBFoSENJa6k1tITBeQEAbb2dLAgQIzCIgpM3CqlACVQkIaFV1l8oSILAVAWvRttLT2kngbgEBzcggQIAAAQIECBQmIKAV1iGqQ4AAgbsE4grPfCsOQgQItC8goLXfx1pIgEBDAkJaQ52pKQQeEBDQDA8CBAhUINBfkyakVdBhqkjgTAEB7UxAmxMgQGApASFtKWn7IbC+gIC2fh+oAQECBE4WENJOpvJEAlULCGhVd5/KEyCwRQEhbYu9rs1bExDQttbj2kuAQBMCQloT3agRBO4VENAMDgIECFQqIKRV2nGqTeAEAQHtBCRPIUCAQKkCQlqpPaNeBM4TENDO87M1AQIEVhcQ0lbvAhUgMLmAgDY5qQIJECCwvICQtry5PRKYU0BAm1NX2QQIEFhQQEhbENuuCMwsIKDNDKx4AgQILCkgpC2pbV8E5hMQ0OazVTIBAgRWERDSVmG3UwKTCghok3IqjAABAmUICGll9INaEBgrIKCNlbMdAQIEChcQ0grvINUj8ICAgGZ4ECBAoGEBIa3hztW0pgUEtKa7V+MIECCw2wlpRgGB+gQEtPr6TI0JECAwWEBIG0xmAwKrCghoq/LbOQECBJYTENKWs7YnAucKCGjnCtqeAAECFQkIaRV1lqpuWkBA23T3azwBAlsUENK22OvaXJuAgFZbj6kvAQIEJhAQ0iZAVASBGQUEtBlxFU2AAIGSBYS0kntH3bYuIKBtfQRoPwECmxYQ0jbd/RpfsICAVnDnqBoBAgSWEBDSllC2DwLDBAS0YV6eTYAAgSYF+iGtyQZqFIHKBAS0yjpMdQkQIDCXgJA2l6xyCQwX2KcX5PCtZt5iv993lXKwmBla8QQIECCwCYEPHz7cvtmnv+830ejKGymgVd6Bqk+AAIFSBP78+XO4urraff/+vavSq1evdm/evNk9e/ZMIFi5k/oBrV+VrYS1u8bmxcXF7smTJ8WOTQFt5ReN3RMgQKAFgXgDfP369e7nz59/NSe9Ae6+ffu2e/HiRbFvhC34n9KG+0JabNtyUMtjM9oZ4zF/gEhjshubpYY0Ae2UUe05BAgQIPCgwOXl5SG9Ee4+fvzYzZhdX18f3r592wW2eFP89etXsW+EW+rah0JadmgtrL1///4QYSzN5nYfEvpj8927dzFmi/zw4CKBLb0ytZUAAQIzCMQMRYSzL1++7PPpzPgzZifSn7v4v69fv86wZ0UOFTglfEWIyz9Dyy/x+f1wFvWLsRmnN+NxPONbUv0FtJJ6Q10IECBQoUCeOTuuepw6ijVo8YjneJQhcEpIyzVtIazlmbO+fnxwiEcen2X0zN+1ENBK7BV1IkCAQEUCMSNx34UAcXozHvkNsaJmNV3VISGtpbCW25JOc8a6yF2aSSvy9GbU0xq0pl+CGkeAAIF1BWL9T1zZOWYN2inrpdZtnb2HwJiwt6ZcnJJPayZ3nz9/LnpdpBm0NUeJfRMgQKBxgVh7FguxS71SrnH+RZpXU5BOHxYOL1++7NZERkiLsLYI0oidCGgj0GxCgAABAo8LfPr06RCnOFNAK/Y00uOt8IyHBGL2rJYZtHRBQDce4/588YiQFlcal/pwirPUnlEvAgQIVCwQb4bx5peu7HQPtEL7cezMVy2B7CH2FM668RmPuNo4hbbiPkQIaIW+cFSLAAECtQrkG4PGPdFKfOOr1XXKeg8NZy2EsmO/uHdfrI+McVriLK9TnFOOeGURIEBg4wI5nMV9poSzMgfDqeEsn75sMZxFz5R8i42onxm0Ml8/akWAAIEqBWJWovTbF1QJO1GlHwtnrYaxu/jSVz51X0/248ePIk/DC2gTDXrFECBAYOsCD4WzuHou7oVmVm29UbL1L0w/lo9bwMQ3CaQ1aMWtPzODtt7rxJ4JECDQlECEs7gqLmbPjh9xU9B4pHuhFflG2FRH3NOYfjjb0ixZfO9m3E4jPhzE7V7yDZVj9ix+f/N1ZEWOSzNoW3hlaiMBAgRmFIiZiHRLjQf3UOpC7BlZFF2AQAS0uO9Z/qqxfIuN+DPWSZZ8fz4BrYABpAoECBAgQIDAfAJx25cIaXEftDTLW+SM2XHrBbT5xoOSCRAgQIAAAQKjBNxmYxSbjQgQIECAAAEC8wkIaPPZKpkAAQIECBAgMEpAQBvFZiMCBAgQIECAwHwCAtp8tkomQIAAAQIECIwSENBGsdmIAAECBAgQIDCfgIA2n62SCRAgQIAAAQKjBAS0UWw2IkCAwDYF9vv9IX7ObX0uZ4qyzq2L7QmUKCCgldgr6kSAAIECBaYMU4fD4fZmoVOWWyCbKhEYJSCgjWKzEQECBLYl0A9R/XB1joKQdo6ebVsXENBa72HtI0CAwJkCc4SzXCUh7czOsXmzAgJas12rYQQIEDhfYM5wJqSd3z9KaFdAQGu3b7WMAAECZwksEc6EtLO6yMYNCwhoDXeuphEgQGCswJLhTEgb20u2a1lAQGu5d7WNAAECIwTWCGdC2oiOsknTAgJa092rcQQIEBgmsGY4E9KG9ZVnty0goLXdv1pHgACBkwVKCGdC2snd5YmNCwhojXew5hEgQOAUgZLCmZB2So95TusCAlrrPax9BAgQeESgxHAmpBm2WxcQ0LY+ArSfAIFNC5QczoS0TQ/NzTdeQNv8EABAgMBWBWoIZ0LaVkendgtoxgABAgQ2KFBTOBPSNjhANXknoBkEBAgQ2JhAjeFMSNvYINVcAc0YIECAwJYEag5nQtqWRqq2mkEzBggQILARgRbCmZC2kcGqmWbQjAECBAhsTeBwOOxbaHO/Hf3w2ULbtIGAGTRjgAABAhsQyAGmlXBmJm0Dg3bjTRTQNj4ANJ8AgfYFWg1nQlr7Y3fLLRTQttz72k6AQPMCrYczIa35IbzZBgpom+16DSdAoHWBrYQzIa31kbzN9glo2+x3rSZAoHGBrS6ad+FA4wN7Q80T0DbU2ZpKgMA2BFq6ncaYHhPSxqjZpjQBAa20HlEfAgQInCGw9XDmdOcZg8emRQkIaEV1h8oQIEBgvIBw9rdda7cUGT8ybFmjgIBWY6+pMwECBB4QEEz+w2HhpVKrwD4N3lXrftdVRvddeRS/92JbtbvsnAABAgQqFPjw4cPtm336exPfJFFhNwyqcjEBLWqdw9eQ0DaotZ5MgACBAgWur68Pnz592l1cXOxevHjhzbPAPooqXV1dHVJf7T5+/FhdH/UDWp93K2Htz58/h9R/u+/fv3fNf/Xq1e7Nmze7Z8+eFduXqwe0gDpeN9EPaMeXiptBK/TIpVoECAwWyMEs3jji8e3bt3jj

Page 87: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0063_image016.gifContent-Transfer-Encoding: base64Content-Type: image/gif

Page 88: Lec10

R0lGODlhWAH7AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALBIAEAA6AeEAhwAAAAAAAB0dHQYGBgICAgwMDAEBAQQEBBMTExkZGQgICAkJCRQUFA8PDxAQEB8fHwcHBx4eHhgYGAsLCxISEhsbGxERERwcHAoKCg4ODi8vLzU1NT8/PzMzMyYmJiAgIDo6OjQ0NDY2NioqKiUlJScnJygoKDc3NyIiIiQkJDs7OzAwMDk5OTg4OD09PSEhISMjIywsLD4+PjIyMisrKy4uLjw8PCkpKS0tLV1dXVtbW1xcXFZWVlRUVElJSUVFRUBAQFNTU1VVVUxMTFdXV1paWkZGRkRERFFRUUNDQ01NTU9PT1JSUkJCQkdHR19fX1lZWVBQUFhYWEtLS0pKSk5OTkFBQV5eXkhISH5+fn9/f3Nzc2RkZGxsbH19fWVlZWFhYXJycmpqant7e2hoaHd3d2JiYm5ubmtra2ZmZmlpaXFxcWBgYHV1dXl5eW1tbXp6enZ2dm9vb2dnZ3x8fHR0dHh4eHBwcISEhI2NjYiIiICAgJmZmYGBgYyMjIKCgomJiYWFhYaGhpubm4uLi4ODg5OTk5WVlZycnJGRkYqKioeHh5CQkI6OjpiYmJKSkpSUlJqamp6enp2dnY+Pj5aWlp+fn5eXl6qqqqSkpLe3t62trb+/v7u7u7Ozs6ysrL29vbGxsbm5uaCgoK+vr7W1taampq6urqGhoaioqKKioqWlpby8vLS0tLKysqOjo6mpqaurq7q6utXV1cTExMfHx9/f38jIyMzMzNvb29nZ2cLCwt3d3crKytDQ0Nzc3NfX19HR0c/Pz8XFxcvLy8bGxsDAwMHBwdPT08nJycPDw+rq6uLi4vPz8+Tk5Obm5vf39/n5+e7u7vv7++Dg4Ozs7Ojo6P///wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwj/AAEIHEiwoMGDCBMqXMiwocOHECNKnEixokWGWS5q3Mixo8ePIEOKHFlQSx4tekiqXMmypcuXMBn68dOnD56YOHPq3Mkz5h48ff4AChRoT8+jA3MAWAZg0EItAKBKjUp1qtWqWK9qzcp1q9euYL+KDUt2rNmyaLfuybJHi5afggj9KXRRB4AtAGghnchlRy0ePRZmweO2sOHDiBMrXsy4sePHkCNLnky5cpbCQQn9vHjIBx9EGgTtlfgjkS0AQEarXh1TC9BCitZS1Rhk060OHlg3PPRBoBDdwIOHJAQITxbRHXOkBkBE+MIiAAQY4eS8unWIexjRDQniC4AQAJhd/y9IZAeAMEf0jl/PviUXgUgQ5VoYIEDwQXza699PUkzD+vwFKOCAHNVnH4EIJqjgQQYeuOCDEApo4F4OGlRhhBhG2OCFOQGYkIcZhpjghhzGVKKFIqaI4IY8gUjfiSrG6Jx9HsK4ko0Myqhjezje2KOFP+4oZItBilQkikMmqduRH7kokZNKRqkTlC0xiZCVUmbZJE5UTtSllmAaieVFY34Y5pkslUnRlxWxieaba6r55EhywmknQXU+5CaZed6J5p4FpunnoF4q2CehWQL6EF7jOYLoaloUglxPh34iwHWgiODfo6oF8kghWQSyk6IOEbAeGZyuVghQQwHVoUeHXv+ERCiiQJUQCZumOtofbe3xxyKKFPLHRqMAcNOLsB41Sw99gJKEGQrlShAijFRr7bXYZqvtttx26+234IYr7rjkZqvHZYbBBomoFikRySglZERfskf5IAkAJgSGkAfSEmSUQP8CEPDAAxEMcMEIH6ywwAkzvLDBDkcM8cQNU/xwxRhfrHHEffjahx56EJaSRUYsQQoAJzBE6n9HoYGCQEwwB0ATMwNwxkD96srTH4oAkgVdXnR0BABG8MByR7FW5MR7KfyWkAk363xUIXkE7BEIAqmghsqxGrA1TzEDwMYTCSnygQ9S92T1R41wMQkATETyi8od5cwTIqYwVEraItr/qtDKfAceXNKCF/4S4IYnfhThijceEuLXfcm449ZNTimOkFPOX+bCAcq55jwuSOrnoEdueYdMnl46hSNiSfrqg6t+eJmywz4lgaS/brtqul++Ue27Hy7hob0HT2SAxQsEvPEqLf8448kzD1P0s9Mp/X7Ow6o69dc3nz3SgnY/3vfiJ/gWUtxvhIsYK1zHQghG7K5FH4nMptIzf7BxJXBOkD9RSmZogQqCJxRAFEILgFBJG7AGpMGpBhcHwcRAflCStFjwLBi8oAYzyEGusGUPeygEIX7mN4jMAgCdWEjYkLSko1DCB8JwAxQWIoYxEEQLg6CEDnfIwx768IdADKIQ/4dIxCIa8YhCVAS63JKZR4zMIV3IgTD6khA1RIFB/nNIFglChjcMAwAuWEgcDmKUMjLMjGg8oxrTyMY1urGNcHyjHONIxzna0ShQCcRbCrEIPdDliQ2BAl2UQMGEXDFHS9riQFAgBQBEwQR+qNnQ9AUAOUgPD7ApBLsm8gK8HGEDkkTNQKyIRQf2BAkCaYINEfI25h3iDxkpYUTGMAWBLGEhqESkbmDQkzlQQSAxSAVC5BAHmg3LdnhQhCwnUgW7iCEE1EHIHJRQStZEMgVHuWUo3BAKMgLgAABoQPkokoaB0CEhoACAA/Y3znZaJH3u3J0i45k2eNJzdfOM3Ifyef89e44IWfd0CT8795+BBs+fAyqSQQ96p9QtFJ8PHY3rIgo6ii6uTRZtHEL1I6eNujOjt9OIR8s3Un0GKqCPC1PSSio9lhIUJCAVXEwFSqeZ6sylLSQJTm1n0+aFD6V8Aqqf1tYiFRHiOlxoQSTtxAjCuCQJSUhhQXYakz6wQBXVWcRdgOA0OC0CEIvQwqREUoeZWeEQLAxRLq8jg0HhIYSAgKVWQbKKgTzADVNV0RqYgNaeZKQKb8hbQgxxi4KQsDKITaxiJZOFxhZmD30IFh7G2pCbMEohGpCXkFa4kzUkYROBECdCZpEDBhIkC39YrGpXy1q39Mq1ghDEuRQBETX/XKEWOxjCQt6QpC3w9ShK+YMOaDu0oS0HAKNQQS3t9JM/4MGAogKkQ0JAlxkYCwDFBcAMBWKHKHFWJx245XfAOJChFeRlcOpDI/yghWEt8yE0EIhdaiaQ4ybCEkoqQyN5MgkQ/EYIeHDGbuGUhdhEjCJVuIJATGuQTQxkqQJRBLvGmKEvxCCbAnHCIxDyg8DcC3ZsiBkgenCMg3hhBSmAgQDKSRAhtEINEAjRDFd5FFckxChd2F1XPTGvgghBDJ8AgNGESmQA1ABa2CwykRkYBFQoGahHaA7cWrrPJ4+TTVS1cpT2lGUtC0lRXSZUT3F3pDAPaszIs5KZ7bTmEGUO/807gjOP1NTmM9UZQq+7M5jkPL4+6VlKf15RrAKtJD5Xh3qE/rKhOze5RMfZcfZ0dIwkzZ7aUTpFiy70RzOt6XZyGiee8IF5i0o5OkSioDpTipcpwgst6uwLJFh1TXX2Hok6Trpm0hUXYm3rxP2hlQBNVa1510+dpYHXsobpp3Gi4GRHhLZH49QpouPshwjiFaiu9t8Yqu1tw+7S3XZzuK+8bDaXO6fj/tu5ebduOIG70unOtuLeHTh6Vy7eWmz38fAt78Lp20/2Bk7AZfpvLvEbIgNn98ERXnDhLVxPDU9TxM88cZ8+nOFSS/i863lxjlxCN6hFX8Wl5ggxAMEKx//cyx4CkQingiQNTaBkjztukb5y4bij0aQgDEjUinwcAFiwAtdofhFrDER/kCpEWwIhiLAeayNBizbRLxK1ghQCrIvIuta3zvWue/3rYF/LYfCQh0Y8vSJbUANTgj31ityhDN7soNzD8ha3BGIRxrmuRYIBAAm4uu0VeUQlgDNZ2fbhvRc5pLoBXxFGAAcSgohuSPwwB6kz3iFAGNoKbLBJpNAF8RfZ1M6HfnmIjAAAEwBAfFP0DADAfW+WLz3BZa9R2idO47Zfzcg5BSPcKzv37KzynoGfVuEDevdnhriWkN/QiPj+d8x3t5eir8vc0476eML+8N+pfeUBP0/Pj5P/9ZGm/e53mvxxNv+QoEd99T9aTDIK/6MizXz3T1p2I6fRgexvONWBvno0wm9g8GGrkQPfRRFaYHY9pxHGYAY3MGxXwiLx9gofgGtHkQuB8AId0QfE4XIbwQtjkGMnoGr7NCH41j66cQks4BG8ggeBoAiHtxHGIBBhgAUvIn9aogEWiBQpAzB80AhAGIRCOIRE2AhxtUR8BAgosRFU0AY3yH8IooO68Qg9GGF3JEdQMRiwFVf/BxEyV4IHJ4W6UYUaESm/Igiu4hE7OFVQGIVryBNU2BGKoAh44IEdQVlgyG8z8IY8sYIa8RO01YUUgQaihF8zh28UwAO9wBpkQAF2/zMaOMAAFSAA1kV8lniJmJiJmriJnNiJnviJoBiKojiKEAUAATghpwggqXiKpNiKrviKsBiLsjiLtFiLtniLuJiLuriLCBEHQjBfvCgisSAQyxWMKhIGxqgifDB4yRgi0dSMIeIFWsVj0FgdWmAH+tNd1FAQ6lEQFoAyALCN1SgcKjBk3yEtgggApWCI47gaYICCA3EBA1F1GNGOrDECSlALA5EJAxBfwEgQjoIQ0GGPo1EBE/AIG4AFRoNeLuBkAuEDY0AKLnAHCNEDTkiQSBECI6AMBNEANwAACEAQMlAsbYUQ8YORSJEDLVAQJQAAk5ABBLGCk8ADEEYQzOACbV7I

Page 89: Lec10

eEXgBAPxiwJRAAPhBIeUBAlBTSiJFPj1HkugBRAEAEqQErcwB+axA3AADAdhBlRQk0fZEzNIEGFAMwDQVXB3EGkgdFsZHH3wEHlwls4hCw1BgGwZHN2IEM94EAEBADs=

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0064.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0064.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Worst Case (3)"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"153"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=

Page 90: Lec10

nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>9<=/span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s156674" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:1in' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s156675" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:132pt;width:9in;height:306pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s156674" class=3DT style=3D'position:absolute;top:9=.5%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Worst Case (3)</span><=/div> <div v:shape=3D"_x0000_s156675"> <div class=3DB style=3D'position:absolute;top:25.5%;left:5.99%;width:88.2%; height:6.75%'><span style=3D'position:absolute;top:0%;left:4.24%;width:95.=75%; height:100.0%'><span class=3DBB style=3D'position:absolute;left:-4.43%;top=:.3em'>&uml;</span><span lang=3DDA>When does the worst case appear?&#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:33.75%;left:11.04%;width:83=.14%; height:6.0%'><span style=3D'position:absolute;top:0%;left:3.6%;width:96.17=%; height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-3.74%; top:.3em'>&uml;</span><span lang=3DDA>input is sorted &#13;</span></span><=/div> <div class=3DB1 style=3D'position:absolute;top:41.25%;left:11.04%;width:83=.14%; height:6.0%'><span style=3D'position:absolute;top:0%;left:3.6%;width:96.17=%; height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-3.74%; top:.3em'>&uml;</span><span lang=3DDA>input reverse sorted&#13;</span></sp=an></div> <div class=3DB><span style=3D'position:absolute;top:49.0%;left:9.73%;width=:90.44%; height:6.75%'><span class=3DBB style=3D'position:absolute;left:-4.14%;top:=.3em'>&uml;</span><span

Page 91: Lec10

lang=3DDA>Same recurrence for the worst case of </span></span><span style=3D'position:absolute;top:56.0%;left:9.73%;width:84.45%;height:6.75%'=><span lang=3DDA>insertion sort&#13;</span></span></div> <div class=3DB><span style=3D'position:absolute;top:64.5%;left:9.73%;width=:100.18%; height:6.75%'><span class=3DBB style=3D'position:absolute;left:-3.73%;top:=.3em'>&uml;</span><span lang=3DDA>However, sorted input yields the best case </span></span><span style=3D'position:absolute;top:71.75%;left:9.73%;width:84.45%;height:6.75%='><span lang=3DDA>for insertion sort!</span></span></div> </div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0065.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><link rel=3DOLE-Object-Data href=3Doledata.mso><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0065.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Analysis of Quicksort"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );

Page 92: Lec10

//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"154"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>10=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s157698" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:60pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s157699" type==3D"#_x0000_m132111" style=3D'position:absolute;left:30pt;top:96pt;width:9in;height:54pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s157698" class=3DT style=3D'position:absolute;top:8=.25%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Analysis of Quicksort<=/span></div> <div v:shape=3D"_x0000_s157699" class=3DB style=3D'position:absolute;top:1=8.75%; left:5.24%;width:88.2%;height:6.75%'><span style=3D'position:absolute; top:0%;left:4.24%;width:95.75%;height:100.0%'><span class=3DBB style=3D'po=sition: absolute;left:-4.43%;top:.3em'>&uml;</span><span lang=3DDA>Suppose the spl=it is 1/10 : 9/10</span></span></div>

Page 93: Lec10

<v:shapetype id=3D"_x0000_t75" coordsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=3D"t" path=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" strok=ed=3D"f"> <v:stroke joinstyle=3D"miter"/> <v:formulas> <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/> <v:f eqn=3D"sum @0 1 0"/> <v:f eqn=3D"sum 0 0 @1"/> <v:f eqn=3D"prod @2 1 2"/> <v:f eqn=3D"prod @3 21600 pixelWidth"/> <v:f eqn=3D"prod @3 21600 pixelHeight"/> <v:f eqn=3D"sum @0 0 1"/> <v:f eqn=3D"prod @6 1 2"/> <v:f eqn=3D"prod @7 21600 pixelWidth"/> <v:f eqn=3D"sum @8 21600 0"/> <v:f eqn=3D"prod @7 21600 pixelHeight"/> <v:f eqn=3D"sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" aspectratio=3D"t"/> </v:shapetype><v:shape id=3D"_x0000_s157700" type=3D"#_x0000_t75" style=3D='position:absolute; left:78pt;top:156pt;width:565.5pt;height:38pt'> <v:imagedata src=3D"slide0065_image017.wmz" o:title=3D""/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_s157700" DrawAspect=3D"Content" ObjectID=3D"13"> <p:oleclientdata subtype=3D"equation" menuname=3D"Equation" clipboardname=3D"MathType 4.0 Equation"/></o:OLEObject> <![if !vml]><img border=3D0 v:shapes=3D"_x0000_s157700" src=3D"slide0065_image018.gif" style=3D'position:absolute;top:29.0%;left:1=0.86%; width:78.46%;height:7.0%'><![endif]><v:shape id=3D"_x0000_s157701" type=3D="#_x0000_t75" style=3D'position:absolute;left:116.625pt;top:218.875pt;width:490.625pt; height:300.625pt' fillcolor=3D"#99f [4]" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:imagedata src=3D"slide0065_image019.png" o:title=3D""/> <v:shadow color=3D"#00007d [2]"/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"MSPhotoEd.3" ShapeID=3D"_x0000_s157701" DrawAspect=3D"Content" ObjectID=3D"6"> <p:oleclientdata menuname=3D"Photo Editor Photo" clipboardname=3D"Microsoft Photo Editor 3.0 Photo"/></o:OLEObject> <![if !vml]><img border=3D0 v:shapes=3D"_x0000_s157701" src=3D"slide0065_image020.gif" style=3D'position:absolute;top:40.5%;left:1=6.1%; width:68.16%;height:55.75%'><![endif]></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0065_image017.wmzContent-Transfer-Encoding: base64Content-Type: image/x-wmz

H4sIAAAAAAACC4VTzW9SQRCf2eUBBRLA2pgm1fJMVD6iFGNieiCBArGHoiAQjxTbVyThwwAGOVQJxgY9iIkHjfHkXf8BPfTkoYl6Ir32HzAa8y7GRJzdB5Zgk+57O/t7OzNvfjszu//502uQY12NMJgRKLSNAvAZBsBgT2oVmgxxhJANh0OJLuH8aC/Exlo7G3s4WIStq7OEzpudsABD4QYnwEU7u4T3aXpUgFPkYR9ZOSBZaN7Jtu9qxEn+RfAAJtBJ1sE0LhD6zSJ/DN7PUS4MXNlSRWt4rmstz81apVAFf/db

Page 94: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0065_image018.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0065_image019.pngContent-Transfer-Encoding: base64Content-Type: image/png

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

Page 95: Lec10

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

Page 96: Lec10

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

Page 97: Lec10

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

Page 98: Lec10

QIDAdAXK8ITt58+fHwMHeapWJgLblZvk3dOnT3f7cxjoaTDdslxjytTfNZb6MHl+9epVM3/B169fN6UHS3NdbA/fSuDAiwABAgS6CQgadHOyFQECBGYjkLHhZaKvvJsnbFmLPE9wv3//vk2QoAYO8rs00maTMQldhYD6u4piHjSTZf6CXXoUZLhLvcZlcsQEENqBg0yOOGhCHJwAAQILEdjuduu9Xtbu98XATfNehWYz3jc8a5PXJx65oSmNOvVxPP7VnSnddetcB+rb6op/9hlWf2dfhINnIBPAll5VzXkO3d+1/+YmgPDjx4+Tf3P9jR68yJyAAIEZCOhpMINCkkQCBAjcQiCTf+XpW17pZSBAdQtVxxhLQP0dS3re58mQhLyODb3Kda/OcZBeV2XOg/U+PZt3UUs9AQIjCggajIjtVAQIELinQJYcy01yJj9sTwx2zzQ5N4GuAupvV6l1b7c/b8shjQzZqq8u269bVO4JECCw2QgaqAUECBBYgUDpYdAMS0h33IcJwQyDWUG5LyWL6u9SSnL4fNQVYbK84rFX5s2on+lxNXyZOAMBAvMXEDSYfxnKAQECBE4KpPttVlFIwCDzGJQlGQUM1JnZCKi/symqSSQ0Ex4mcJCgQeYjOJSoOiQhw7S8CBAgQOC8gKDBeSNbEBhUoP00JOtJexG4pUDpXdBMtFkCBZuspiBgcEtdxxpaQP0dWniZx//48WOTsQxpycSI7VxmbowEUXNN7DJMy9/oZdYRuSJA4DIBqycUL6sn/FpprJ5w2Rfpmq2z1FNuRjIxXXtMZZ585Gam/PQ0+BpY+zQ3yZkMrE56+LDkovqkbsxCQP2dRTFNPpHpZZDgQP6+5hpYex/kupj/J2BwaslZf6MnX8QSSIDAiAKCBoIGB6uboMGI30KnInBDgTyZrZMdJvjUHrt7w9M4FIFBBNTfQVhXfdAMRagrKmSIVlZVcF1cdZWQeQIErhAQNBA0EDS44otjFwIECBAgQIAAAQIECKxBQNBA0EDQYA3fdHkkQIAAAQIECBAgcAeBP//883FukfJvwyXvUAZ9TyloIGggaND3W2R/AgQIECBAgAABAgSOCrQDB3UjAYT5VBhBA0EDQYP5fF+llAABAgQIECBAgMAsBQ4FDgQQ5lGUggaCBoIG8/iuSiUBAgQIECBAgACBWQucChwIIEy3aAUNBA0EDab7/ZQyAgQIECBAgAABAosS6BI4EECYVpH/37SSIzUECExFIMtUZfmzd+/e7V68eLF79erV4yQ2SWPWsH769OnuyZMnzXZTSbd0zEOgLAuZZdB2qUepW6lLqXM19fl3fp/lX1P/sv08ciaVaxBwfVxDKd83j+rYff2dfViBS+YySIChvodNlaOfEtDToOjsdjuzeO7Vktyo51ds1nkBSWOu3LBssrZ1Xd/6/fv3m7dv327TeCuNuU35ufnnn3+an1n7+sePH75H66wuV+U6wYLUnRJw+qUOJQhVPm/qVephXrX+XXUyOxG4oYDr4w0xHeqggDqmYqxF4JIeB/smlwQe1uI5ZD4FDTSMD9YvQYMhv3bzOXZuXMpT3ibB379/bxpx+f/r16/z3qbhV3oiCBrMp0gnl9L0IkhgKnXq48eP2wQMEkj4+vVr6lW5FP0XwBQ0mFzRrT5Bro+rrwKDA6hjgxM7wQQE+gQOavIFEIYvSMMThjd2BgKzFahPeX///fdNeW8TIKgBg2QqPQ3y+uOPP2abRwm/r0CtY6lD6Y775cuXx4BBqV+PQxLUsfuWk7P/KuD6qFYMLaCODS3s+FMQuEWD3xCG4UtST4NirAv+rxVNT4Phv3xzOEN9ClyGJTS9CfLKEIWa9oxDT+DAU+A5lOb00rj/FC3DXmoPg6Q2vQ7evHmjJ8v0ik6KioDro2owtMAU6tgtngIP7eT4BI4J3CIgMZZuHpwkUJj76vzMfffnz58f77nTu7cO6cx9d3r8jpW2nEdPgzG1nWtWAgmcLPHdtRAeJqprNq9jy9sBgzwFrj0Nnj9/3vWwtmsJrLl+haHOl5FeBJnDIH8EMyShEtWnbOrX9L42S6y7NVjeRdv1sYtSv23UsWayWH+D+1Uje69cYC4TKOYhSr7v6W2Z+6H8u/awzN+bBBDzWeaCyjs9f8d+CRqMLe58sxFID5QlvrsWQL1Zyfa5UKVB137ld3ll6EK5sI0a7eyah6lvt+b61Q4a1Mk0S3Dgp3pU65igwfRq8hLr7iW9Dl0fh6+T6th/AQN/g4eva85A4N4Cuf/Jg7n07K2vly9fJkDQzC2Wf3/79u2nz8dOs6DB2OLOR2AmAu2b4lysMqdBO+n1KXA+8yJwqUB6qtQ6lKBB+w9ljpVuevl9XurYpbq2H1rA9XFoYcdXx9QBAv0EMjShvvsdaby9pzyPiTkNSj245OnCeNXmvmcyp8F9/adw9jpfQXoSlJUTfgoYJPL55MmTJpkZg77/hHgK6ZeGaQvU+QqSyrJqwi9j80rXu2bZxfQyKHVMT5ZpF+fqUuf6uLoiHz3D6tjo5E54J4FbzZsxp/kLjlFPYR6TY2nT0+BOXxCnJTBlgTzlrfMV7D8BTrprt/HMdSBgMOWSnG7a6lO0BKUOTeZjaMJ0y27tKXN9XHsNGD7/6tjwxs4wDYG+AYM59iY4Jj/1uXIEDabxnZEKApMSaE++dKhBtz9BXS50eU8qExIzaYFax7KE5/7r0CSb7eUXJ50xiVu8gOvj4ov47hlUx+5eBBIwgsC1AYMlBQrazFOfK0fQYIQvhVMQmJtAfcp7bCx5+ylwggVZFs+LQFeBUn9OzlewP8lmhjLU33U9h+0IDCXg+jiUrONWAXVMXVi6wKUBg6UGCo4FDaY4l5igwdK/lfJH4EKBBAFOLXWXJ751grr8fPXqVTOJXXupvAtPafOVCdT6leWE9ifYDEUdGpPhL1mXONu3l/tcGZfsTkjA9XFChbHQpKhjCy1Y2XoU6BowWEOg4FDQIMM29+95cl2497BNQQNfYgI3FMg4xGsOl/VZr903jfjsf6vhAe35Ckqk8+QEdJmoLksxWnLxmlK/fJ+HgM3FdaxvHelTPw/l8txTtLpPggUJIJSJEk2EeHl1mdwe97rG3bL+uj5Orlr9lKBr61ifOtL3+rovqo5Nu45JXT+BcwGDtQUKWvc7059LrKwckNUDVvkuBZWb75L9deb/VL7ZXFYnSqNmVyKDuzIp4EX1qTS4d+VparNfaXg3x/j8+XOnY5T1Wpv96nlznDI+fPfjx49O+/ep90lj0j7Gufqkcyn7ltUrmrLN97KsJNC5fPvWkT71s4996lXOfUle+5zPvpdd7y71uvb6ONf66/o4bH06VP+urWN9rnF96+el36P29urY+HWsT3nZ97/y+n//7//tDr357PIArrnHy738IY96D1ge5jWf5z5p7HvwVQYLamFoGB+/6LLp9gep3qhUr0uCBtk2+7WDBDlefpeLx6mLaPapwYZ60cjPGngY+0Ligt+tvlzq1A4W1DrWtSHdt470qZ+X5tP2w9Sfe7v2uT6qv8usE7euk33qWJ9rXN/6eWsHx/N9mXod2A8WTD29Y6cv9++5z0tw4NC5c8+fz3PNyz1+ggdj3+sLGuhpcLAOCBqc/wOUL27eNToYs65BgzJW6ejF4dCNTPsCkoZkvXjk3+3P0qBMOnLxGfuC53zn68wlRvljkHqSMq1/TLr2NOhbR/rUz0vyaNvb1pkpefa5Pqq/y60Xt6yjfepYn2tc3/p5SwPH8l1RB+ZfB3K/V9tdh3ob55pTP0+bI+2E9HQau+wFDQQNBA1uMDylNuq6BA1qwz4XgP1Gfy4AuWDksww7OBRFrEGFY9HImpZzvRXGvtg43/V/2Gqd6Bo06FNH+tZP5Xx9OS/V7pLrYwzUX3Xo0u/CJXWs7zWuT/28NF+2911QB5ZfB2ov42NDE9pBg2xzj4BB6qGJEPvN52FvAo1AZnnv+movJ3do5vg6+WAmgNtfZu5hwqXmVJl5/tCrLpNYlqnrmiTbTVzgkvrVt470qZ8TZ5S8Owmov3eCX9FpL6ljfa5xfa+vKyoSWSVAoKNAeQi4LY3ybXlQeHDS57QVysOjZuLxEkC42+TjggYdC9RmBG4hkBUOamP+WKM/5ylPMprT7QcN2oGAY/vX3yfokBmhb5Fux5iPQJ860rd+zkdJSqcqoP5OtWSWka6+17g+9XMZgnJBgMA9BPJAMcsw3nN5c0GDe5S8c65WoK5PH4BTQYP61KQ0+n+y2tv/YESy/cSlvf1q0VeW8T51pG/9XBm17A4goP4OgOqQjwJ9r3F96qdiIECAwJwFBA3mXHrSPjuBro34dkCh3VugBhFOdcUs+z4GE/aDDrMDk+CLBfrUkb718+LE2oHAnoD6q0oMKdD3Gtenfg6ZL8cmQIDA0AKCBkMLOz6BlkDpGvn4v1M9DdpodZ90q6y/v3RfhbAOgb51pE/9XIewXA4poP4OqevYEehzjetbP5UAAQIE5iwgaDDn0pP22Ql0fcrRzljmJsjrmn2v2Wd2qBL8KHBNebf3uWb/Wj8VA4G+AtfUP/W3r/q69r+mjvkbvK46IrcECBwWEDRQMwgQIECAAAECBAgQIECAAIGDAoIGKgYBAgQIECBAgAABAgQIECAgaKAOELi3QFlr9eIk1EkPr9n3mn0uTqAdJiNwTXm397lm/0vWR58MlIRMUuCa+qf+TrIoJ5uoa+qYv8GTLU4JI0BgRAE9DUbEdioCXW9Y2uPE6z7l58ElFvdVy76PEyZ2PZ+SWYZA3zrStb4cqp/LEJSLewqov/fUX8e5+1zj+tbPdQjLJQECSxVYddBgt9tt815q4crX9ATaNyyn

Page 99: Lec10

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

Page 100: Lec10

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

Page 101: Lec10

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

Page 102: Lec10

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

Page 103: Lec10

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

Page 104: Lec10

CBAgQIBAFwFBgy5KtiFAgAABAgQIECBAgAABAisUEDRYYaHLMgECBAgQIECAAAECBAgQ6CIgaNBFyTYECBAgQIAAAQIECBAgQGCFAoIGKyx0WSZAgAABAgQIECBAgAABAl0EBA26KNmGAAECBAgQIECAAAECBAisUEDQYIWFLssECBAgQIAAAQIECBAgQKCLgKBBFyXbECBAgAABAgQIECBAgACBFQoIGqyw0GWZAAECBAgQIECAAAECBAh0ERA06KJkGwIECBAgQIAAAQIECBAgsEIBQYMVFrosEyBAgAABAgQIECBAgACBLgKCBl2UbEOAAAECBAgQIECAAAECBFYoIGiwwkKXZQIECBAgQIAAAQIECBAg0EVA0KCLkm0IECBAgAABAgQIECBAgMAKBQQNVljoskyAAAECBAgQIECAAAECBLoICBp0UbINAQIECBAgQIAAAQIECBBYoYCgwQoLXZYJECBAgAABAgQIECBAgEAXAUGDLkq2IUCAAAECBAgQIECAAAECKxQQNFhhocsyAQIECBAgQIAAAQIECBDoIiBo0EXJNgQIECBAgAABAgQIECBAYIUCggYrLHRZJkCAAAECBAgQIECAAAECXQQEDboo2YYAAQIECBAgQIAAAQIECKxQQNBghYUuywQIECBAgAABAgQIECBAoIuAoEEXJdsQIECAAAECBAgQIECAAIEVCggarLDQZZkAAQIECBAgQIAAAQIECHQREDToomQbAgQIECBAgAABAgQIECCwQgFBgxUWuiwTIECAAAECBAgQIECAAIEuAoIGXZRsQ4AAAQIECBAgQIAAAQIEViiw3e12K8y2LBMgQIAAAQIECBAgQIDANQL//vvv7q+//tr8888/j7v/8ccfm+fPn2+vOV57n3Lc3W+//bYpx+t9rK5p+fLly668N2/fvh31vF3Td2i7T58+7V6+fLkpVoM76WnQp6TsS4AAAQIECBAgQIAAgZUIpHH94sWL3ZMnTzavXr3aJHCQd2nAbsrvN9vtdvfmzZtdCSZc/GQ6gYjs+/fff4/ScM/5Pnz4sHv69OkueUnQoPxuNiVZAjSb4pV0X2x9aSYFDS4Vsz0BAgQIECBAgAABAgRWJJAGdmlYN43rNOrfv3+/+fHjx+br16/bvL9//5735vXr100AoTTEN2mQdyVKkCHHzv7laf/gT86TrofgRAIUXZM5qe1+//337efPn7cJ2lxifU0mDE+4Rs0+BAgQIECAAAECBAgQWIFAaVw3DfoMRciwgRIkONkTIN3m8wQ8rwQBPn78eDIIkIDEs2fPmqEBZftRAgbtYstwiPSSyCt5u8UQizGrRfyS/gxVGCrgoqfBmCXqXAQIECBAgAABAgQIEJiJwMOQgce5C8qT7bNDB9LwT0+EvNLr4NRT8NrgLU/N7xIwmEkxnExm5jSI97t37+LduXfHJXkXNLhEy7YECBAgQIAAAQIECBBYiUBp8Dfd+PNKr4GuT+GzbXol5JXGbHorHCKrx08vA6/rBVIumeMg1tfMJ3HuzIIG54R8ToAAAQIECBAgQIAAgZUJpPGZRn19pVHa9ZWn3wkc1Ff7OPV3GRaQ36eXQddgRNfzr3G7DE/IRI51aMgtDQQNbqnpWAQIECBAgAABAgQIEFiAQIYWtF+lUXrRfAPtIMPDygQ/9TaogYQ0dufySiAlQwAy5CLvIZ7qX2tRHR9WtLjpMAVBg2tLxX4ECBAgQIAAAQIECBBYqEAan/VVAwCZgyDvU1mun++vSpDAQX2lsV2Pf64HQ4Y2pKFeut43yz1mFYf2+euyiWUZyGa7IYqjrh6RCRvzSt4yMWRWicgykek10X53TUOO+9DjoslXln9sD+V4mIRyl6Usk/dT9undUc3b1l3TcnK73W638WagDqgD6oA6oA6oA+qAOqAOqAPqgDpQ60BpRKYB3rzLUIPy612WWdyVJ9rNvw+983ndNp+XhuzjMcpkfY/75d/12Nnn2PHKaga7bFsCC78cJ/vl96WhvKvnyc9L63DOUdOSfx/aP+fINt++ffvp83Y+2l772x1LU/Yv8zkcTH9ZdWJXhm40+avHbhseOmbss+01Dqfc9DS4SejFQQgQIECAAAECBAgQILAMgf2JCzPvQF55mp2n2HkqXrvot3/mSXyewNdXu7dBu+dC+9855jG1zHWQZQTbEyU+jN1/XGawNNB/+vzWJZD8ZTLInLfk56e0Jm11wsesYFAa3tu897c7lqbsX/Z77CFQhxikx0SGh5S85d15WEgtp8xtkB4Mt7IQNLiVpOMQIECAAAECBAgQIEBgAQJpdJ56JXCQmfr33+2Awan964oM+0MYju1Tt0+juLy3OW8mWszyjtmnnrfr8S4potrV/9ix6/CKPkMC2h4J2ORYpddDE6Rpz5twLn81aJD81WNektdj2woa3ELRMQgQIECAAAECBAgQILASgTTY82R9/32uUVt5alCiPqU/x1Z7JuRJfJ78p3FcAwbZt+v8COfOc+jzc43vmudz2x07d3oEVI8EILL6wefPn5uAQTtvsTq3ykRXz0sdBA0uFbM9AQIECBAgQIAAAQIEFixwrHGaifgSMCjj7euwgZ9+5ul4+2l3m6g2ri/tNv8wWWBzqDSK0zhPt/567DyJrz0Nzk2qeE2R1Yb4uV4U1zbYa8AjPllRIoGY9pCNGoy4NG/tISDX5Lu9j6BBX0H7EyBAgAABAgQIECBAYGECh7q6pzGbRu2x1/7n7YbrsWDCObb2MdJtf//8dVhAjt91LoFz52x/XhvrxxrhNZhw7dKR9bjpbXCoN0HN36VBg0vyeG5bQYNzQj4nQIAAAQIECBAgQIDAygTajeD2U/ZTExeGqH6+P5nitY3edmM9acqcBu2iqE/ir220nyvWTMKYxnwMMjSivX16QaRRn8/bkzWeO2b9PL0kavoTNNg/Rgzr0IWh8tclrYIGXZRsQ4AAAQIECBAgQIAAgRUJZBhCfaVh256QrwtDu7GfgEFt7J8bl79/7Hqc9CRoD0vIdrXRnn9fG5Q4l5f0XsgcAzl/JmBM4CBDLEqwoFnBIb9/GJbReZWDes620f6whGzT7mVwLlizn49begganKslPidAgAABAgQIECBAgMDKBNLIbwcOLl0dIEsG1tf+E/Q6/v/cKg150l57ORx6kl/T1GWSwD7FV9Ob4EFeD0GUzO3QLIl47bCIdkCkPbFjTeulQxPOeV5rIGhwrZz9CBAgQIAAAQIECBAgsGCBPP2ucxFkkr6uvQ3yNL7d2N/vXdB1xYHaqE6j/VCjen+SwPQ8yPuWRZLjpUdBLMoQgZ8mfrw2WFDTV/PXDs7Uzw5N8HjOvz2MpOtKFl2sBA26KNmGAAECBAgQIECAAAECKxNIl/iH5f8yFGDz6tWrZkjAKYZ020+AIa+HpRl/6bbf7jp/6nj1Sfux8fztJ/E5TpYrvPUrQxKS95yr9J5ohibsv8+ZHEpTnE7NV7A/wWPOfa63R3spy0uHgZxyEzS4da1yPAIECBAgQIAAAQIECCxEIE/TSxf8Zs6APNl/+vRpM65/v6Gcp+Cl0b57CCw0T+azNOMhhnYQoPYW2N8uxz+13GDOVxvJNaDxMGnhRXMLtJ/On1pWMQ32BCXS62D//eTJk7gkWNK5l0PNW3oE7E/uGIualvSyyHH3l5o85Fp7Ltx80sTdbrfxZqAOqAPqgDqgDqgD6oA6oA6oA+qAOnCqDpQgwK4ED9Iwbt75d96l4fv4u9K7YFeCDOUwpy3rcUpD/+C2OVfOURrNBz///v374zmzTZdzttNUJi/c5dzZt+Yn/87v8lnd9sePH7vSCH/cpm577GcJlpzNe45dAgXNMY9tH8d6jvz7nGfSWbdvp//cfl0+32YjLwIECBAgQIAAAQIECBAg0EUgvQDyVHt/DP0lXeLTxb+uPlACABf1DqhpTBf/pCHDIC5dXaBLPrNN8vrs2bNNhmmk10V7roH2MdITIMMy0jPg2vy0j5fzZjLJ9ETo4prhC+kJkR4hJWhwlecxE0GDrrXFdgQIECBAgAABAgQIECBwM4EyX0Az/0GWLOzSML7ZiS84UAkYpCfF0aEW7UMliJHhGeXB/E0b7V2SWwIwzRCGDCU5NNyhyzGObWNOgz569iVAgAABAgQIECBAgACBqwQyB0Ea5HXixKsOMuBOdS6BrnMEZG6FrtveMtkPEzM280jcOmCQdOppcMvSciwCBAgQIECAAAECBAgQ6CxQu/8ngHBoWcXOBxpgwzLBYTPZYoY/HJvUsZ52fxjDAMk5eMi6JGSCFcVwkB4OehqMVZrOQ4AAAQIECBAgQIAAAQI/CWQuggxPyOoEpXv9pCbcK0/tm7RmboF0/8+8AZnToJ2BPOXPMIusKvHQc2KQhvuxapMlIYcMGOS8ehr40hIgQIAAAQIECBAgQIDAXQXyxDwN4DTUh3pifmkGH5aR3NSlDI/tn8kHMzQgEyVeeo5rt0/aasCgBA0GPa+gwbWlZD8CBAgQIECAAAECBAgQuKlAntxnBYIxG+DnMpAGenpCZKhCJhvMK8GNvBMwuEda0+shPQyGWjWibSJocK6G+JwAAQIECBAgQIAAAQIECKxUwJwGKy142SZAgAABAgQIECBAgAABAucEBA3OCfmcAAECBAgQIECAAAECBAisVEDQYKUFL9sECBAgQIAAAQIECBAgQOCcgKDBOSGfEyBAgAABAgQIECBAgACBlQoIGqy04GWbAAECBAgQIECAAAECBAicExA0OCfkcwIECBAgQIAAAQIECBAgsFIBQYOVFrxsEyBAgAABAgQIECBAgACBcwKCBueEfE6AAAECBAgQIECAAAECBFYq8P8BaTFs

Page 105: Lec10

nWrXpLIAAAAASUVORK5CYIJ=

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0065_image020.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

Page 106: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><link rel=3DOLE-Object-Data href=3Doledata.mso><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0066.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: An Average Case Scenario"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;

Page 107: Lec10

font-size:107% !important;}--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"155"/> <o:rules v:ext=3D"edit"> <o:r id=3D"V:Rule1" type=3D"connector" idref=3D"#_x0000_s158730"> <o:proxy start=3D"" idref=3D"#_x0000_s158728" connectloc=3D"2"/> <o:proxy end=3D"" idref=3D"#_x0000_s158729" connectloc=3D"0"/> </o:r> <o:r id=3D"V:Rule2" type=3D"connector" idref=3D"#_x0000_s158734"> <o:proxy start=3D"" idref=3D"#_x0000_s158728" connectloc=3D"2"/> <o:proxy end=3D"" idref=3D"#_x0000_s158731" connectloc=3D"0"/> </o:r> <o:r id=3D"V:Rule3" type=3D"connector" idref=3D"#_x0000_s158735"> <o:proxy start=3D"" idref=3D"#_x0000_s158731" connectloc=3D"2"/> <o:proxy end=3D"" idref=3D"#_x0000_s158732" connectloc=3D"0"/> </o:r> <o:r id=3D"V:Rule4" type=3D"connector" idref=3D"#_x0000_s158736"> <o:proxy start=3D"" idref=3D"#_x0000_s158731" connectloc=3D"2"/> <o:proxy end=3D"" idref=3D"#_x0000_s158733" connectloc=3D"0"/> </o:r> <o:r id=3D"V:Rule5" type=3D"connector" idref=3D"#_x0000_s158743"> <o:proxy start=3D"" idref=3D"#_x0000_s158742" connectloc=3D"2"/> <o:proxy end=3D"" idref=3D"#_x0000_s158740" connectloc=3D"0"/> </o:r> <o:r id=3D"V:Rule6" type=3D"connector" idref=3D"#_x0000_s158744"> <o:proxy start=3D"" idref=3D"#_x0000_s158742" connectloc=3D"2"/> <o:proxy end=3D"" idref=3D"#_x0000_s158741" connectloc=3D"0"/> </o:r> </o:rules></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>11=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109"

Page 108: Lec10

src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><v:rect id=3D"_x0000_s158=722" style=3D'position:absolute;left:380.375pt;top:445.375pt;width:218.125pt; height:48.5pt;mso-wrap-style:none;mso-wrap-distance-left:0; mso-wrap-distance-right:0;v-text-anchor:middle' fillcolor=3D"silver" stro=ked=3D"f" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s158723" style=3D'position:absolute;left:109=.375pt; top:438.25pt;width:218.125pt;height:48.5pt;mso-wrap-style:none; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:middle' fillcolor=3D"silver" stroked=3D"f" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:rect><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id==3D"_x0000_s158724" type=3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;wi=dth:9in; height:60pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s158725" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36.125pt;top:129pt;width:326.375pt;height=:174.625pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape><![if !vml]><img b=order=3D0 v:shapes=3D"_x0000_s158722,_x0000_s158723" src=3D"slide0066_image021.gif" style=3D'position:absolute;top:81.25%;left:15.16%;width:68.16%;height:10.7=5%'><![endif]> <div v:shape=3D"_x0000_s158724" class=3DT style=3D'position:absolute;top:8=.25%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>An Average Case Scenar=io</span></div> <div v:shape=3D"_x0000_s158725" class=3DB><span style=3D'position:absolute; top:25.0%;left:9.73%;width:46.62%;height:6.0%'><span style=3D'font-size:88=%'><span class=3DBB style=3D'position:absolute;left:-8.03%;top:.3em'>&uml;</span></=span><span lang=3DDA style=3D'font-size:88%'>Suppose, we alternate </span></span><span style=3D'position:absolute;top:31.25%;left:9.73%;width:39.7%;height:6.0%'>=<span lang=3DDA style=3D'font-size:88%'>lucky and unlucky </span></span><span style=3D'position:absolute;top:37.25%;left:9.73%;width:39.7%;height:6.0%'>=<span lang=3DDA style=3D'font-size:88%'>cases to get an </span></span><span style=3D'position:absolute;top:43.5%;left:9.73%;width:39.7%;height:6.0%'><=span lang=3DDA style=3D'font-size:88%'>average behavior</span></span></div> <v:shapetype id=3D"_x0000_t75" coordsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=3D"t" path=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" strok=ed=3D"f"> <v:stroke joinstyle=3D"miter"/> <v:formulas> <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/> <v:f eqn=3D"sum @0 1 0"/>

Page 109: Lec10

<v:f eqn=3D"sum 0 0 @1"/> <v:f eqn=3D"prod @2 1 2"/> <v:f eqn=3D"prod @3 21600 pixelWidth"/> <v:f eqn=3D"prod @3 21600 pixelHeight"/> <v:f eqn=3D"sum @0 0 1"/> <v:f eqn=3D"prod @6 1 2"/> <v:f eqn=3D"prod @7 21600 pixelWidth"/> <v:f eqn=3D"sum @8 21600 0"/> <v:f eqn=3D"prod @7 21600 pixelHeight"/> <v:f eqn=3D"sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" aspectratio=3D"t"/> </v:shapetype><v:shape id=3D"_x0000_s158726" type=3D"#_x0000_t75" style=3D='position:absolute; left:382pt;top:135.125pt;width:328.375pt;height:190.5pt'> <v:imagedata src=3D"slide0066_image022.wmz" o:title=3D""/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_s158726" DrawAspect=3D"Content" ObjectID=3D"7"> <p:oleclientdata subtype=3D"equation" menuname=3D"Equation" clipboardname=3D"MathType 4.0 Equation"/></o:OLEObject> <![if !vml]><img border=3D0 v:shapes=3D"_x0000_s158726" src=3D"slide0066_image023.gif" style=3D'position:absolute;top:25.0%;left:5=2.99%; width:45.69%;height:35.25%'><![endif]><v:oval id=3D"_x0000_s158727" style==3D'position:absolute; left:108.75pt;top:302.75pt;width:158.25pt;height:88.125pt;rotation:237023=4fd; mso-wrap-style:none;v-text-anchor:middle' fillcolor=3D"silver" stroked=3D="f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:shapetype id=3D"_x0000_t202" coordsize=3D"21600,21600" o:spt==3D"202" path=3D"m,l,21600r21600,l21600,xe"> <v:stroke joinstyle=3D"miter"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> </v:shapetype><v:shape id=3D"_x0000_s158728" type=3D"#_x0000_t202" style==3D'position:absolute; left:140.625pt;top:284.875pt;width:25.75pt;height:36pt' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweig=ht=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s158729" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:74.375pt;top:370.125pt;width:25.625pt;height:36pt' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweig=ht=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shapetype id=3D"_x0000_t32" coordsize=3D"21600,21600" o:spt==3D"32"

Page 110: Lec10

o:oned=3D"t" path=3D"m,l21600,21600e" filled=3D"f"> <v:path arrowok=3D"t" fillok=3D"f" o:connecttype=3D"none"/> <o:lock v:ext=3D"edit" shapetype=3D"t"/> </v:shapetype><v:shape id=3D"_x0000_s158730" type=3D"#_x0000_t32" style=3D='position:absolute; left:87.25pt;top:323.625pt;width:66.375pt;height:46.625pt;flip:x' o:connectortype=3D"straight" strokecolor=3D"black [1]" strokeweight=3D"1p=t"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:shape><v:shape id=3D"_x0000_s158731" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:195.5pt;top:364.875pt;width:53.375pt;height:36pt' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweig=ht=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s158732" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:109pt;top:443pt;width:102.625pt;height:35.875pt' filled=3D"f" fillco=lor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s158733" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:223.25pt;top:442.375pt;width:102.625pt;height:36pt' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweig=ht=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s158734" type=3D"#_x0000_t32" style=3D'pos=ition:absolute; left:153.625pt;top:323.625pt;width:68.5pt;height:41.375pt' o:connectortyp=e=3D"straight" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:shape><v:shape id=3D"_x0000_s158735" type=3D"#_x0000_t32" style=3D'pos=ition:absolute; left:160.375pt;top:403.625pt;width:61.75pt;height:39.375pt;flip:x' o:connectortype=3D"straight" strokecolor=3D"black [1]" strokeweight=3D"1p=t"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:shape><v:shape id=3D"_x0000_s158736" type=3D"#_x0000_t32" style=3D'pos=

Page 111: Lec10

ition:absolute; left:222.125pt;top:403.625pt;width:52.5pt;height:38.75pt' o:connectortype==3D"straight" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s158727,_x0000_s158730,_x0000_s158734,_x0000_s158735,_x=0000_s158736" src=3D"slide0066_image024.gif" style=3D'position:absolute;top:52.0%;left:1=1.98%; width:26.4%;height:30.75%'><![endif]> <div v:shape=3D"_x0000_s158728" class=3DO style=3D'text-align:center;mso-l=ine-spacing: "100 50 0";position:absolute;top:53.75%;left:20.41%;width:2.24%;height:5.2=5%'><span style=3D'font-family:"Times New Roman"'>n</span><span lang=3DEN-GB style=3D'font-family:"Times New Roman";mso-special-format:lastCR;display:n=one'>&#13;</span></div> <div v:shape=3D"_x0000_s158729" class=3DO style=3D'mso-line-spacing:"100 5=0 0"; position:absolute;top:69.5%;left:11.42%;width:2.24%;height:5.25%'><span style=3D'font-family:"Times New Roman"'>1</span><span lang=3DEN-GB style=3D'font-family:"Times New Roman";mso-special-format:lastCR;display:n=one'>&#13;</span></div> <div v:shape=3D"_x0000_s158731" class=3DO style=3D'text-align:center;mso-l=ine-spacing: "100 50 0";position:absolute;top:68.5%;left:28.08%;width:5.61%;height:5.25=%'><span style=3D'font-family:"Times New Roman"'>n-1</span><span lang=3DEN-GB style=3D'font-family:"Times New Roman";mso-special-format:lastCR;display:n=one'>&#13;</span></div> <div v:shape=3D"_x0000_s158732" class=3DO style=3D'text-align:center;mso-l=ine-spacing: "100 50 0";position:absolute;top:83.0%;left:16.1%;width:12.35%;height:5.25=%'><span style=3D'font-family:"Times New Roman"'>(n-1)/2</span><span lang=3DEN-GB style=3D'font-family:"Times New Roman";mso-special-format:lastCR;display:n=one'>&#13;</span></div> <div v:shape=3D"_x0000_s158733" class=3DO style=3D'text-align:center;mso-l=ine-spacing: "100 50 0";position:absolute;top:83.0%;left:32.02%;width:12.35%;height:5.2=5%'><span style=3D'font-family:"Times New Roman"'>(n-1)/2</span><span lang=3DEN-GB style=3D'font-family:"Times New Roman";mso-special-format:lastCR;display:n=one'>&#13;</span></div> <v:shape id=3D"_x0000_s158737" type=3D"#_x0000_t75" style=3D'position:abso=lute; left:281.25pt;top:286.875pt;width:67.875pt;height:43.375pt'> <v:imagedata src=3D"slide0066_image025.wmz" o:title=3D""/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_s158737" DrawAspect=3D"Content" ObjectID=3D"8"> <p:oleclientdata subtype=3D"equation" menuname=3D"Equation" clipboardname=3D"MathType 4.0 Equation"/></o:OLEObject> <![if !vml]><img border=3D0 v:shapes=3D"_x0000_s158737" src=3D"slide0066_image026.gif" style=3D'position:absolute;top:53.25%;left:=39.13%; width:9.36%;height:8.0%'><![endif]><v:line id=3D"_x0000_s158738" style=3D'=position:absolute' from=3D"225.5pt,309.625pt" to=3D"276.875pt,309.625pt" strokecolor=3D"blac=k [1]" strokeweight=3D"2pt">

Page 112: Lec10

<v:stroke dashstyle=3D"dash" startarrowwidth=3D"narrow" startarrowlength==3D"short" endarrow=3D"block" endarrowlength=3D"long"/> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s158738" src=3D"slide0066_image027.gif" style=3D'position:absolute;top:56.5%;left:3=1.27%; width:7.67%;height:2.0%'><![endif]><v:oval id=3D"_x0000_s158739" style=3D'=position:absolute; left:451.875pt;top:350pt;width:64pt;height:44.625pt;mso-wrap-style:none; v-text-anchor:middle' fillcolor=3D"silver" stroked=3D"f" strokecolor=3D"b=lack [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:shape id=3D"_x0000_s158740" type=3D"#_x0000_t202" style=3D'pos=ition:absolute; left:368.875pt;top:449pt;width:123.5pt;height:36pt' filled=3D"f" fillcolo=r=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s158741" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:504.125pt;top:447.75pt;width:105.125pt;height:36pt' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweig=ht=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s158742" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:471.125pt;top:351pt;width:26.375pt;height:36pt' filled=3D"f" fillcol=or=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s158743" type=3D"#_x0000_t32" style=3D'pos=ition:absolute; left:430.625pt;top:387pt;width:53.75pt;height:62pt;flip:x' o:connectortyp=e=3D"straight" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:shape><v:shape id=3D"_x0000_s158744" type=3D"#_x0000_t32" style=3D'pos=ition:absolute; left:484.375pt;top:387pt;width:72.375pt;height:60.75pt' o:connectortype==3D"straight" strokecolor=3D"black [1]" strokeweight=3D"1pt">

Page 113: Lec10

<v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s158739,_x0000_s158743,_x0000_s158744" src=3D"slide0066_image028.gif" style=3D'position:absolute;top:64.75%;left:=59.73%; width:17.97%;height:18.75%'><![endif]> <div v:shape=3D"_x0000_s158740" class=3DO style=3D'text-align:center;mso-l=ine-spacing: "100 50 0";position:absolute;top:84.25%;left:52.05%;width:15.54%;height:5.=25%'><span style=3D'font-family:"Times New Roman"'>(n-1)/2+1</span><span lang=3DEN-GB style=3D'font-family:"Times New Roman";mso-special-format:lastCR;display:n=one'>&#13;</span></div> <div v:shape=3D"_x0000_s158741" class=3DO style=3D'text-align:center;mso-l=ine-spacing: "100 50 0";position:absolute;top:84.0%;left:70.97%;width:12.73%;height:5.2=5%'><span style=3D'font-family:"Times New Roman"'>(n-1)/2</span><span lang=3DEN-GB style=3D'font-family:"Times New Roman";mso-special-format:lastCR;display:n=one'>&#13;</span></div> <div v:shape=3D"_x0000_s158742" class=3DO style=3D'text-align:center;mso-l=ine-spacing: "100 50 0";position:absolute;top:66.0%;left:66.29%;width:2.24%;height:5.25=%'><span style=3D'font-family:"Times New Roman"'>n</span><span lang=3DEN-GB style=3D'font-family:"Times New Roman";mso-special-format:lastCR;display:n=one'>&#13;</span></div> <v:shape id=3D"_x0000_s158745" type=3D"#_x0000_t75" style=3D'position:abso=lute; left:561.5pt;top:346pt;width:72.375pt;height:42pt'> <v:imagedata src=3D"slide0066_image029.wmz" o:title=3D""/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_s158745" DrawAspect=3D"Content" ObjectID=3D"9"> <p:oleclientdata subtype=3D"equation" menuname=3D"Equation" clipboardname=3D"MathType 4.0 Equation"/></o:OLEObject> <![if !vml]><img border=3D0 v:shapes=3D"_x0000_s158745" src=3D"slide0066_image030.gif" style=3D'position:absolute;top:64.0%;left:7=7.9%; width:10.11%;height:7.75%'><![endif]><v:line id=3D"_x0000_s158746" style==3D'position:absolute' from=3D"521pt,364.375pt" to=3D"554.125pt,364.375pt" strokecolor=3D"black =[1]" strokeweight=3D"2pt"> <v:stroke dashstyle=3D"dash" startarrowwidth=3D"narrow" startarrowlength==3D"short" endarrow=3D"block" endarrowlength=3D"long"/> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s158746" src=3D"slide0066_image031.gif" style=3D'position:absolute;top:66.75%;left:=72.28%; width:5.24%;height:2.0%'><![endif]></p:slide></div>

<![if !ppt]>

<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%"> <tr> <td width=3D5 nowrap></td> <td width=3D"100%"></td> </tr>

Page 114: Lec10

<tr> <td colspan=3D1></td> <td align=3Dleft colspan=3D1><font face=3DTimes size=3D3>larger constant =in the O notation</font><br> </td> </tr></table>

</div>

<![endif]></body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image021.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlhbAErAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABrASkAgAAAAMDAwAL/jI+py+0Po5y0NoCz3rz7D4biSJbmiaahxbbuC8eTStf2jef6KPf+D/TthsSi8YgKKpfMpgEJjUqnNKf1iqVQt9wuNQsOi7/isvmMTqsZ5LX7DY/LI+25/Y7PW+v6vv8P6MAXSFhoGDd4qLjIuDfVCBkp2ZM4aXmJeVCZydmpuOkZKqoHOmp66laKusoKptoKGxv0Kltr20J7q7sr+Mj7CyyRG0xsO1yM3HqczGy63Azd+RxNbTldjd14nc1tuN0N/vcdTo43Xo6O6JvOvnjeDm/2Hk+fNV+P33SfH+Dl/w/QBr8fAQsaPNhhoBCEDBv6U0jJocSJUCDKoIgxow6LAzEKAAA7

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image022.wmzContent-Transfer-Encoding: base64Content-Type: image/x-wmz

H4sIAAAAAAACC51Wz28bVRCe93b9sybrJC0VUUW3FhQ7VholQkg9GMVJrFatU2ISi6NrwmKsOus2tmV8oEkcEVIklEpwgJ44+ECFEBJXqKiQQeUABy6Veso/gArFByQkzMxb+63tWLjxrj07+968mW++mX27D3/56Q6IY2viqgYe0v68zEhRMg4ADj8yGkMVOGMtjfFmsym0c+y51tgMb88e4+0VPn5V25oYR+2sU4NT0KRlMAZ+HLmP+q/4n5tALxqualn5YCldfGe1ct0A+FwhLx7yx0k7zm+xS+wUav/wuX8t3LcFPgTqX82uGwX9ilHWX8+vp02YrP5evp95XL7j9t4E8IKKZlNofRqvs15aRDiCodng9GwoGNL1XGntWmWPXeGv8m/Z93AAu8oe+wKu41nGuzr+txQLR0i9fWQc553eMRsHE9c/cFVA4hkTeIIzAo2ul8wWopTyF7/XgYbOAzx7Uf3snIMh2NnsZMdCxeAFiYrqVzb0tbxZMG6UDLOYq+gZowjzrI446gLJ160ryZuI6zeBsC6RZT2XhuFrvB9fh+uHBUTOsIpIHNXvAL5hVMHLgjWrlh8L/tp4PL5FxxBMbfVjalzicZNmgQn9LRF82RH37shHziF4ON6PB03GJd/BXD4Tgq8Y9QTj7Xi32IVDHcEG57ndL8/ueHEzaZpQY0+UAD9w2s+FduR4mN+JwfklzTjGC/AFpcZecdl9NVR+1X75+WU8p8gP45k1VldrzO0puOzOOe8cIsNn+2XokxEVEdGs1tiUx+6Vc64hctvpl5tXRqLN1DTfU+wOeaD06UhGUVYq62/mcwCI/+QZjNCRz8nB+UTCiZ1Hrjize2NEfUZa0JrIVDgRVX/gtk3W80DprgPZhBOfuMjqJWe84wmu8cPe5t2d3u6O1Hh35pHEZ/hs0DuN3jWbSvtdk0wWFAclsriytPoy7nlvZM1oLjefLmTXFvJvGcvpjFGAUUcv76NKi6NRx0K+tJE1NmgSRtWlVT32bnEjjXu6+8xrsf3F6ehyw69dSEWXn5x+HvUTWhQascaLjf35FGp+bYEu+7HGZOpiY1+MzOF18yIq0cnUYirWoF9U8zEsDuN4YEYM2VdAVMCrijsOO3EU1SBpJmkh4OpuBCIc9mZpMNk9PQ2tCcswDGGuvv+pkuj1Adu6FDkSJRJrJK6RqFhN0+vejt6NS90dC0xh5JmjRbaFCG8OQLNdJmHIRcIgL1cW5OwN6cOQs0XpvCIdZKRJsZXv/7NtzcT7U/60HHSVaABbCMpBjcAUUgmigCOwWvU/OhiApw/Si4lXicEqcV7NdLqgo2l/9dG3IYO4GLb2Iz+4xN134nsSOz6wUikUjXUobx97+wMXfMhoD6I9oq337nqKWP8fP6SwLOQKAAA=

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image023.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlh9ACOAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwDvAIYAgAAAAAAAAAL/hBEZd8vsnpxGQRUtpDLW1HBig1Hec3LpWLHuC4/rusVhW+e462W3jUB1ZCyQzQhMKofCYrKn2wVfJ6i0ycROidzj8ruc8cDbVBVG26XFpp8o7UaT53ItwoHcKn3aKv6sEhWHw4eH8ieIZZSnMWXxmEcXlhWyYEWCEaljJmipBwdIeZNJOOQ52PdTKMUn+cV2wTo5GEoi29aX2WhYqvdxG6hK69vqujfhdwX3Zkd8qIzbfDU9+uzMLDzdWGkMZhVae6cr6nudjUqTHp0DLr15Xr2x3I0dr/YJ9N18eVqOj+oPmhsfl9b94eVI2zx6yHS1ylAQDakP29jZQjcxoEZx/5oeRuzAqJ84iiSpMfQ25iSy

Page 115: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image024.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image025.wmzContent-Transfer-Encoding: base64Content-Type: image/x-wmz

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image026.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlhMwAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABAArABcAgwAAAAAAAAcGBgoICQsKCgsJCgMDAwcGBwUEBAkHCAYFBQkICAwKCwgHBwMCAgECAwT/EEg5RLhizC2J4KAkECFQGEcxFYehcgPylquhwcGN60Ci0CXFYlPI0QaBVwxYYrgmCAQzCnDymJuBgWIEIgeNLbZkaAAOSUmAszYF0OZxqLFGtAFpSXEScHQ3DGA/FHZDE18XfBeLd4szigEfAAuLUitviWqM

Page 116: Lec10

mXicOEMDBwxFB2wKBo0ze5p3HBYEAzdfbJgvrXh6iyUBBgSGAAq3nbNACbogSApxAARvIIkGljRRwSFo0j1/fFJFVxuULHkbqI+oIKQSxt4As8SXg7miCVl/WgKqAk9qy+nadAsHSEygA2KBBQxXwnCwI1ACHVEL+ckBYGNiFgMMLNbIqBHBOjkDFRRwlKNgnkYY+pgU8HgyhIcxIzhEAAA7

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image027.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlhKgALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAmAAYAgAAAAAAAAAIahI+pG+sPT5gtWkizzHVrTwEcd5XiaKahUgAAOw==

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image028.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image029.wmzContent-Transfer-Encoding: base64Content-Type: image/x-wmz

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image030.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0066_image031.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlhHAAKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAYAAYAgAAAAAAAAAIUhI8Zke24IoxL0YvlzPq164WMUwAAOw==

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0067.htm

Page 117: Lec10

Content-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0067.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: An Average Case Scenario (2)"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"157"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1;

Page 118: Lec10

position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>12=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s160770" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:60pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s160771" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:114pt;width:9in;height:5in' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s160770" class=3DT style=3D'position:absolute;top:8=.25%; left:5.99%;width:90.63%;height:8.5%'><span lang=3DDA>An Average Case Scena=rio (2)</span></div> <div v:shape=3D"_x0000_s160771"> <div class=3DB><span style=3D'position:absolute;top:22.25%;left:9.73%;widt=h:89.13%; height:6.0%'><span style=3D'font-size:88%'><span class=3DBB style=3D'posit=ion:absolute; left:-4.2%;top:.3em'>&uml;</span></span><span lang=3DDA style=3D'font-size=:88%'>How can we make sure that we are usually </span></span><span style=3D'position=:absolute; top:28.25%;left:9.73%;width:84.45%;height:6.0%'><span lang=3DDA style=3D'font-size:88%'>lucky?&#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:35.5%;left:11.04%;width:84.=08%; height:5.25%'><span style=3D'position:absolute;top:0%;left:3.56%;width:96.=21%; height:100.0%'><span style=3D'font-size:86%'><span class=3DB1B style=3D'po=sition: absolute;left:-3.7%;top:.3em'>&uml;</span></span><span lang=3DDA style=3D'font-size:86%'>Partition around the &#8221;middle&#8221; (n/2th) element?&#13;</span></span></div> <div class=3DB1><span style=3D'position:absolute;top:42.0%;left:14.04%;wid=th:87.07%; height:5.25%'><span style=3D'font-size:86%'><span class=3DB1B style=3D'pos=ition: absolute;left:-3.44%;top:.3em'>&uml;</span></span><span lang=3DDA style=3D'font-size:86%'>Partition around a random element (works well in <=/span></span><span style=3D'position:absolute;top:47.25%;left:14.04%;width:79.96%;height:5.25=%'><span

Page 119: Lec10

lang=3DDA style=3D'font-size:86%'>practice)&#13;</span></span></div> <div class=3DB style=3D'position:absolute;top:54.0%;left:5.99%;width:88.2%; height:6.0%'><span style=3D'position:absolute;top:0%;left:4.24%;width:95.7=5%; height:100.0%'><span style=3D'font-size:88%'><span class=3DBB style=3D'pos=ition: absolute;left:-4.43%;top:.3em'>&uml;</span></span><span lang=3DDA style=3D'font-size:88%'>Randomized algorithm&#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:61.25%;left:11.04%;width:89=.32%; height:5.25%'><span style=3D'position:absolute;top:0%;left:3.35%;width:96.=43%; height:100.0%'><span style=3D'font-size:86%'><span class=3DB1B style=3D'po=sition: absolute;left:-3.47%;top:.3em'>&uml;</span></span><span lang=3DDA style=3D'font-size:86%'>running time is independent of the input ordering&=#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:67.5%;left:11.04%;width:83.=52%; height:5.25%'><span style=3D'position:absolute;top:0%;left:3.58%;width:96.=18%; height:100.0%'><span style=3D'font-size:86%'><span class=3DB1B style=3D'po=sition: absolute;left:-3.72%;top:.3em'>&uml;</span></span><span lang=3DDA style=3D'font-size:86%'>no specific input triggers worst-case behavior&#13=;</span></span></div> <div class=3DB1><span style=3D'position:absolute;top:74.0%;left:14.04%;wid=th:95.13%; height:5.25%'><span style=3D'font-size:86%'><span class=3DB1B style=3D'pos=ition: absolute;left:-3.14%;top:.3em'>&uml;</span></span><span lang=3DDA style=3D'font-size:86%'>the worst-case is only determined by the output of= the </span></span><span style=3D'position:absolute;top:79.25%;left:14.04%;width:79.96%;height:5.25=%'><span lang=3DDA style=3D'font-size:86%'>random-number generator&#13;</span></spa=n></div> <div class=3DB1 style=3D'position:absolute;top:85.75%;left:11.04%;width:83=.14%; height:5.25%'><span style=3D'position:absolute;top:0%;left:3.6%;width:96.1=7%; height:100.0%'><span style=3D'font-size:86%;visibility:hidden'><span class==3DB1B style=3D'position:absolute;left:-3.74%'>&uml;</span></span><span lang=3DDA style=3D'font-size:86%;mso-special-format:lastCR;display:none'>&#13;</span=></span></div> </div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0068.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

Page 120: Lec10

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0068.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Randomized Quicksort"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"158"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>13=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=

Page 121: Lec10

0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s161794" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:60pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s161795" type==3D"#_x0000_m132111" style=3D'position:absolute;left:30pt;top:126pt;width:9in;height:306pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s161794" class=3DT style=3D'position:absolute;top:8=.25%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Randomized Quicksort</=span></div> <div v:shape=3D"_x0000_s161795" class=3DB> <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:23.75%; left:5.24%;width:88.2%;height:6.75%'><span style=3D'position:absolute; top:0%;left:4.24%;width:95.75%;height:100.0%'><span style=3D'mso-special-f=ormat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-4.43%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=Assume all elements are distinct&#13;</span></span></div> <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:31.5%;left:=5.24%; width:88.2%;height:6.75%'><span style=3D'position:absolute;top:0%;left:4.2=4%; width:95.75%;height:100.0%'><span style=3D'mso-special-format:bullet;color=:#9999CC; mso-color-index:5;position:absolute;left:-4.43%;top:.3em;font-family:Wingd=ings; font-size:75%'>&uml;</span><span lang=3DDA>Partition around a random element&#13;</span></span></div> <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute; top:39.5%;left:8.98%;width:100.18%;height:6.75%'><span style=3D'mso-specia=l-format: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.73%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=Consequently, all splits (1:n-1, 2:n-2, ..., n-</span></span><span style=3D'position:abs=olute; top:45.75%;left:8.98%;width:95.88%;height:6.75%'><span lang=3DDA>1:1) are equally likely with probability 1/n&#13;</span></span></div> <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:53.5%;left:=5.24%; width:88.2%;height:6.75%'><span style=3D'position:absolute;top:0%;left:4.2=4%; width:95.75%;height:100.0%'><span style=3D'visibility:hidden'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-4.43%;font-family:Wingdings;font-size:75%'>&uml;</span></sp=an><span lang=3DDA style=3D'display:none'>&#13;</span></span></div>

Page 122: Lec10

<div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute; top:61.5%;left:8.98%;width:101.12%;height:6.75%'><span style=3D'mso-specia=l-format: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.7%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=Randomization is a general tool to improve </span></span><span style=3D'position:absolut=e; top:67.75%;left:8.98%;width:95.5%;height:6.75%'><span lang=3DDA>algorithms= with bad worst-case but good </span></span><span style=3D'position:absolute; top:74.25%;left:8.98%;width:84.45%;height:6.75%'><span lang=3DDA>average-c=ase complexity</span></span></div> </div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0069.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0069.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Randomized Quicksort (2)"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--

Page 123: Lec10

if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"159"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>14=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s162818" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:66pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><v:rect id=3D"_x0000_s162819" st=yle=3D'position:absolute; left:114pt;top:120pt;width:414.875pt;height:122.25pt' filled=3D"f" fillco=lor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:rect><v:rect id=3D"_x0000_s162820" style=3D'position:absolute;left:114=pt; top:276pt;width:444pt;height:151pt' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarroww=idth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/>

Page 124: Lec10

<v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:rect> <div v:shape=3D"_x0000_s162818" class=3DT style=3D'position:absolute;top:8=.75%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Randomized Quicksort (=2)</span></div> <div v:shape=3D"_x0000_s162819" class=3DO style=3D'tab-stops:.25in .4722in= .7083in .9444in 1.1805in 1.4166in 1.6527in 1.8906in 2.1267in 2.3628in 2.59=89in'> <div style=3D'text-align:justify;position:absolute;top:23.25%;left:16.85%; width:44.38%;height:5.25%'><nobr><span style=3D'font-family:Arial;mso-asci=i-font-family: Arial;mso-bidi-font-family:Arial;mso-hansi-font-family:Arial'><b>Randomize=d-Partition(A,p,r)&#13;</b></span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:27.75%;left:16.85%; width:32.2%;height:6.0%'><nobr><span style=3D'font-family:Arial;mso-ascii-=font-family: Arial;mso-bidi-font-family:Arial;mso-hansi-font-family:Arial'>01&nbsp;&nbs=p; i</span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New"'> </span><span style=3D'mso-ascii-font-=family: Symbol;mso-bidi-font-family:"Courier New"'>&not; </span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial'>Random(p,r)&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:33.5%;left:16.85%; width:37.07%;height:5.75%'><nobr><span style=3D'font-family:Arial;mso-asci=i-font-family: Arial;mso-bidi-font-family:Arial;mso-hansi-font-family:Arial'>02&nbsp;&nbs=p; exchange A[r]</span><span style=3D'font-family:Symbol;mso-ascii-font-famil=y: Symbol;mso-bidi-font-family:"Courier New"'> &laquo; </span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial'>A[i]&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:39.25%;left:16.85%; width:38.76%;height:5.25%'><nobr><span style=3D'font-family:Arial;mso-asci=i-font-family: Arial;mso-bidi-font-family:Arial;mso-hansi-font-family:Arial'>03&nbsp;&nbs=p; </span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial'><b>return</b></span><span style=3D'font=-family: Arial;mso-ascii-font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-fon=t-family: Arial'> Partition(A,p,r)</span></nobr></div> </div> <div v:shape=3D"_x0000_s162820" class=3DO style=3D'tab-stops:.25in .4722in= .7083in .9444in 1.1805in 1.4166in 1.6527in 1.8906in 2.1267in 2.3628in 2.59=89in'> <div style=3D'text-align:justify;position:absolute;top:52.0%;left:16.85%; width:46.44%;height:5.25%'><nobr><span style=3D'font-family:Arial;mso-asci=i-font-family: Arial;mso-bidi-font-family:Arial;mso-hansi-font-family:Arial'><b>Randomize=d-Quicksort(A,p,r)&#13;</b></span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:57.5%;left:16.85%; width:24.34%;height:5.25%'><nobr><span style=3D'font-family:Arial;mso-asci=i-font-family: Arial;mso-bidi-font-family:Arial;mso-hansi-font-family:Arial'>01&nbsp;&nbs=p; </span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=

Page 125: Lec10

y: Arial;mso-hansi-font-family:Arial'><b>if</b></span><span style=3D'font-fam=ily: Arial;mso-ascii-font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-fon=t-family: Arial'> p &lt; r </span><span style=3D'font-family:Arial;mso-ascii-font-fa=mily: Arial;mso-bidi-font-family:Arial;mso-hansi-font-family:Arial'><b>then</b><=/span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;display:none'>&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:62.0%;left:16.85%; width:58.8%;height:6.0%'><nobr><span style=3D'font-family:Arial;mso-ascii-=font-family: Arial;mso-bidi-font-family:Arial;mso-hansi-font-family:Arial'>02&nbsp;&nbs=p;<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp; </span>q</span><span style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New"'> </span><span style=3D'mso-ascii-font-=family: Symbol;mso-bidi-font-family:"Courier New"'>&not; </span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial'>Randomized-Partition(A,p,r)&#13;</span>=</nobr></div> <div style=3D'text-align:justify;position:absolute;top:68.0%;left:16.85%; width:53.37%;height:5.25%'><nobr><span style=3D'font-family:Arial;mso-asci=i-font-family: Arial;mso-bidi-font-family:Arial;mso-hansi-font-family:Arial'>03&nbsp;&nbs=p;<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp; </span>Randomized-Quicksort(A,p,q)&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:73.25%;left:16.85%; width:56.36%;height:5.25%'><nobr><span style=3D'font-family:Arial;mso-asci=i-font-family: Arial;mso-bidi-font-family:Arial;mso-hansi-font-family:Arial'>04&nbsp;&nbs=p; </span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial'><b><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;</span></b></span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial'>Randomized-Quicksort(A,q+1,r)</span></n=obr></div> </div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0070.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

Page 126: Lec10

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0070.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Randomized Quicksort Analysis="><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"160"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>15=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0

Page 127: Lec10

v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s163842" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:66pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s163843" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:114pt;width:9in;height:198pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s163842" class=3DT style=3D'position:absolute;top:8=.75%; left:5.99%;width:94.38%;height:8.5%'>Randomized Quicksort Analysis</div> <div v:shape=3D"_x0000_s163843" class=3DB><span style=3D'position:absolute; top:22.25%;left:9.73%;width:84.45%;height:6.0%'><span style=3D'font-size:8=8%'><span class=3DBB style=3D'position:absolute;left:-4.43%;top:.3em'>&uml;</span></=span><span style=3D'font-size:88%'>Let T(n) be the expected number of </span></span><=span style=3D'position:absolute;top:28.25%;left:9.73%;width:93.44%;height:6.0%'=><span style=3D'font-size:88%'>comparisons needed to quicksort n numbers.&#13;</s=pan></span><span style=3D'position:absolute;top:35.75%;left:9.73%;width:99.25%;height:6.0%'=><span style=3D'font-size:88%'><span class=3DBB style=3D'position:absolute;left:-=3.77%; top:.3em'>&uml;</span></span><span style=3D'font-size:88%'>Since each split occurs with probability 1/n, T(n) </span></span><span style=3D'position:ab=solute; top:42.0%;left:9.73%;width:97.37%;height:6.0%'><span style=3D'font-size:88=%'>has value T(i-1)+T(n-i)+n-1 with probability 1/n.&#13;</span></span> <div style=3D'position:absolute;top:49.5%;left:5.99%;width:88.2%;height:6.=0%'><span style=3D'position:absolute;top:0%;left:4.24%;width:95.75%;height:100.0%'><=span style=3D'font-size:88%'><span class=3DBB style=3D'position:absolute;left:-=4.43%; top:.3em'>&uml;</span></span><span style=3D'font-size:88%'>Hence,</span></=span></div> </div> <v:shapetype id=3D"_x0000_t75" coordsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=3D"t" path=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" strok=ed=3D"f"> <v:stroke joinstyle=3D"miter"/> <v:formulas> <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/> <v:f eqn=3D"sum @0 1 0"/> <v:f eqn=3D"sum 0 0 @1"/> <v:f eqn=3D"prod @2 1 2"/>

Page 128: Lec10

<v:f eqn=3D"prod @3 21600 pixelWidth"/> <v:f eqn=3D"prod @3 21600 pixelHeight"/> <v:f eqn=3D"sum @0 0 1"/> <v:f eqn=3D"prod @6 1 2"/> <v:f eqn=3D"prod @7 21600 pixelWidth"/> <v:f eqn=3D"sum @8 21600 0"/> <v:f eqn=3D"prod @7 21600 pixelHeight"/> <v:f eqn=3D"sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" aspectratio=3D"t"/> </v:shapetype><v:shape id=3D"_x0000_s163844" type=3D"#_x0000_t75" style=3D='position:absolute; left:96pt;top:324pt;width:560pt;height:157.125pt;visibility:visible; mso-wrap-style:none;v-text-anchor:middle' fillcolor=3D"#99f [4]" strokeco=lor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:imagedata src=3D"slide0070_image032.png" o:title=3D"txp_fig"/> <v:shadow color=3D"#00007d [2]"/> <p:tag name=3D"SOURCE" type=3D"string" value=3D"\documentclass{slides}\pagestyle{empty}&#13;&#10;\begin{documen=t}&#13;&#10;\begin{eqnarray*}&#13;&#10;T(n) &amp; =3D &amp; \frac{1}{n}\sum=_{j=3D1}^n (T(j-1)+T(n-j)+n-1)\\&#13;&#10;&amp; =3D &amp; \frac{2}{n}\sum_{=j=3D0}^{n-1} T(j)+n-1&#13;&#10;\end{eqnarray*}&#13;&#10;\end{document}&#13;=&#10;"/><p:tag name=3D"EXTERNALNAME" type=3D"string" value=3D"txp_fig"/><p:tag name=3D"=BLEND" type=3D"string" value=3D"False"/><p:tag name=3D"TRANSPARENT" type=3D"str=ing" value=3D"False"/><p:tag name=3D"KEEPFILES" type=3D"string" value=3D"Fals=e"/><p:tag name=3D"DEBUGPAUSE" type=3D"string" value=3D"False"/><p:tag name=3D"RESO=LUTION" type=3D"string" value=3D"1200"/><p:tag name=3D"TIMEOUT" type=3D"string" value=3D"(none)"/><p:tag name=3D"BOXWIDTH" type=3D"string" value=3D"459"=/><p:tag name=3D"BOXHEIGHT" type=3D"string" value=3D"339"/><p:tag name=3D"BOXFONT" type=3D"string" value=3D"10"/><p:tag name=3D"BOXWRAP" type=3D"string" va=lue=3D"False"/><p:tag name=3D"WORKAROUNDTRANSPARENCYBUG" type=3D"string" value=3D"False"/><p:t=ag name=3D"ALLOWFONTSUBSTITUTION" type=3D"string" value=3D"False"/><p:tag name=3D"BITMAPFORMAT" type=3D"string" value=3D"pngmono"/><p:tag name=3D"=ORIGWIDTH" type=3D"string" value=3D"442"/><p:tag name=3D"PICTUREFILESIZE" type=3D"s=tring" value=3D"37735"/></v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x000=0_s163844" src=3D"slide0070_image033.jpg" style=3D'position:absolute;top:60.0%;left:1=3.29%; width:77.71%;height:29.0%'><![endif]></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0070_image032.pngContent-Transfer-Encoding: base64Content-Type: image/png

iVBORw0KGgoAAAANSUhEUgAAHMYAAAgSAQAAAAC/TISiAAAACXBIWXMAALiMAAC4jAHM9rsvAAAAHnRFWHRTb2Z0d2FyZQBBRlBMIEdob3N0c2NyaXB0IDguMTQi0fnWAAAgAElEQVR4nOy9zbGtPBSmx/Vx+XrQ5RsCDsERmA6lQ/DQA1dDVwfiUEwGDsFkYKo8MK6i2D78biEksZYQQhLvM/i+fffhT9rr

Page 129: Lec10

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

Page 130: Lec10

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

Page 131: Lec10

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

Page 132: Lec10

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

Page 133: Lec10

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

Page 134: Lec10

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

Page 135: Lec10

hAjMBCBEYCYAIQIzAQgRmAlAiMBMAEIEZgIQIjATgBCBmQCECMwEIERgJgAhAjMBCBGYCUCIwEwAQgRmAhAiMBOAEIGZAIQIzAQgRGAmACECMwEIEZgJQIjATABCBGYCECIwE4AQgZkAhAjMBCBEYCYAIQIzAQgRmAlAiMBMAEIEZgIQIjATgBCBmQCECMwEIERgJgAhAjMBCBGYCUCIwEwAQgRmAhAiMBOAEIGZAIQIzAQgRGAmACECMwEIEZgJQIjATABCBGYCECIwE4AQgZkAhAjMBCBEYCYAIQIzAQgRmAlAiMBMAEIEZgIQIjATgBCBmQCECMwEIERgJgAhAjMBCBGYCUCIwEwAQgRmAhAiMBOAEIGZAIQIzAQgRGAml+7f00cA3gDM5NL8PH0E4A3ATC71n6ePALwBmMmlQpUBDyDMuGRZ+fQhgBcAM5kMMBP4AGYy6WEm8AHMZNJlWfH0MYAXADOZtDAT+ABmMqlhJvABzGRSwUzgA5jJY8hgJvABzOTRwUzgBZjJo4GZwAswk0cFM4EXYCaLPoOZwAswk0UDM4EfYCaH6ZQJM4EHYCaDIYOZwBMwk06bwUzgC5hJp4aZwBswk04FM4E3YCadDGYCb8BMMgPMBP6AmWRgJvAIzCTTw0zgD5hJBmYCj8BMMjATeARmkoGZwCMwkwzMBB6BmWRmMxuYCXwAM8lMd01+YCbwAswkM5mZw0zgBZhJ51fMPx+YCbwAM+lMU83CTOAFmEmnyf59YCbwA8xkAjOBF2AmE5gJvAAzmcBM4AWYyQRmAi/ATCYwE3gBZjKBmcALMJMJzARegJlMYCbwAsxkAjOBF2AmE5gJvAAzmcBM4AWYyQRmAi/ATCYwE3gBZjKBmcALMJMJzARegJlMYCbwAsxkAjOBF2AmE5gJvAAzmcBM4AWYyQRmAi/ATCYwE3gBZjKBmcALMJMJzARegJlMYCbwAsxkAjOBF2AmE5gJvAAzmcBM4AWYyQRmAi/ATCYwE3gBZjKBmcALMJMJzAReeK2Z1b/5/0P2w1oPZgIvvNXMPltKXmdZzlkRZgIvvNXMdhFsyDLeSRNmAi+81czfU+XUnf01NMtKxoowE3jhrWZWy6myGs3MGSvCTOCFt5o5CvmZO7NZ9pexIswEXnipmcPSie0mMzkXmjATeOGlZvajkMVymZn9YawJM4EXXmpmlxXT5WX9a2WdcSoBZgIvvNTMdhTy3zgAVIw92pK+JswEXnipmc3Pr2J/fy83/0zXnAVjTZgJfPBWM//+XmL+/F5ujsOyrNsmMBN44aVm1v8mM7vJySr7R18TZgIvvNTMKv+18s+vZuVnHAZi3NCEmcALbzWzmMysp/slMBOEx0vN/D1Xdln2qaYcg4aTagAzgRfea+b4HNh8gQkzQXi808whm9KA/vM8KNtykoBgJvDCq83832bJYCYIj3ea2f+ZzPxf5+QfmAnC49Vm/i9z6VtO4izMBF54p5ndz2Tm/zSfKzuYCYLj1Wb+j/OYLMwE4fFSM//Oj2jOGQYwE4THO81sFzPnfFnWY2AwE3jhvWZ229RcMBOEx0vN/DebWUz/gpkgPN5pZrOYWU7/gpkgPN5t5vwvmAnC46Vm5jAThM07zazzycclKQ9mgvB4r5ntNgM0zATh8VIzi8nMZSoDmAnC451mVoVoZgszQXC82sxlyjyYCcLjvWY22zSzMBOExzvNHE2EmSBkXm1mMf8LT06D8EjYzD7Tzr2+mFnO/4KZIDzSNXN6RaZGzdHJejOzgZkgONI1s8qyTHMBOU6dJ7w2E2aC8EjWzPk97+o5nmEmCJ5kzaxnM5UnzcXMdS7LBrNaguBI1cxhEVP9MqHRxGrzsYaZIDhSNbNbzVQW8L9+RjPXni7MBOGRqpn1ZmahWQJmgpBJ1cxNTO27MVVm9pmK3WowE3ghUTMFxXTnw6+zX0dbpZmFuBrMBF5I1ExRsVK9iMrMRmlmLq4GM4EXEjWz0Yn1BWaCkEnUzEoQS3Oh+U3dE684VexS/GAm8EKaZg6iWOoLzeFr3FdemAlCIU0z92OsykVgJgiaNM3sdmYVqkVgJgiaNM1sdmblqkWG7XvBUZgJQiFNM/eGKYeAepWZjUpMjM2CB0jTzGpnlvJJMJgJgiZJMwdJLdUySjORAwRCIUkz5fTXUr1MsX3KNSsqxIaZwAtJmtlJahXqZZave22akAqYCbyQpJntcnm4GporloGZIGiSNHMayBlHZJfrRtUMel8zO5ZrMBN4IV0zi/FTla2SynwnZoeZIECSNLPO1mzZuT+rum0CM0HQJGlm9e3BTmaqctpbcYr2kr5tmAm8kKSZwnhso7uhCTNB0KRo5iDI2OtuaDbbIjATBEiKZvbipaXuhmZjN0U7zAR+SNXMbTi21tzQhJkgaFI0sxNdbGEmiJEUzWzF/qvuZX213csTYCbwQ4pmNuKYz6BJNYCZIGgSNVNwrVKnGsBMEDQpmlnvVKzPzKzUj1ZrgJnAC4maKXRfW3USUAUzQcikaGa1G/Lp1ElAXx9hJgiQFM3c3ybpz8zUvy5MBcwEXkjfzEGdngczQdAkaOYgpeOpzdyGhZYJuv4rceswE3ghUTNL4d+VMnF2O1MuZlLvnMBM4IUEzeyl68oaZoL4SNDMTrpL0igTZzcz5wm6BmpFwEzghReY2arMHGQzcc4EQZGgma2U89OqUtq/E7PDTBAiaZq5uw3Smc2cJ+jqYSYIiheY2cNMEB8JmtlIIu6mOBC+zOdP8zRAPTVDD2YCL7zAzIFiZgczQVAkaGYtD8WqHgODmSBsYOY8DRDMBGGRoJmV7E6lMPP7yoTZzJaa1Q4zgRdgZjPlJcBMEBZpmlnuvqgVkxp8zZynHWlUb/JTATOBFxI08/DQF8wE8ZGmmfsvVGZ+X2ZST11dmAnC4g1mNkYz58kN6py4dZgJvJCgmZXsYaOYCAhmgrCBmdWUIFQVxK3DTOCFBM08zLneKsz8vmYIZoIQSdDMRr57STGT/HJbmAm8kKCZrYWZA8wEYfEWM0tpIdHMf4xpgGAm8EOCZnbyM19qM7+vNfk3JrhTtw4zgRcSNLOXzewUZtaSmeQX9cFM4IUEzRwszCQ9BDa9IWWB88pNAPgkaOZHnvWHYGZLMbMVzCSPGAFgRYpmVgQzvy8cqkczG8pDYLVoZn75MAEwkKKZcqYdwcyaktBeiWZSM+ABsCJFM9t8/2+CmfJpVgnMBP5I0cyukP5tNLMZJSN1TkUxWe/cBIBNimbKqM1c1RrNHEh3QmAm8MdbzcwEM/9+etJQK8wE/oCZ7e+nDmaCwICZYzJfQ6oGmAn88V4z/21//flUpJQemAn8ATP7LOuP89GqgJnAHzBzIHuG+5nAH28wU/XktJBeR861g5nAHzBzEq6gbKcWzcxPFwfgAu81s1g/NorOrnY7G6Q1ALDlrWZWX7Va6tOWeD4T+OOtZtbfb3oMtILweIOZjcLMRrhPUmH+EBAcLzHz+C4wYWy1RdcUBMdbzQQgbGAmACEs879iAAAgAElEQVQCMwEIkTeYWWe0vFgAwgFmAhAibzCzgpkgOl5iJlIJQGTATABC5A1m4jlnEB8vMRNPU4LIeIGZA8wE8fESM/OnDwIAHi8ws4eZID5eYmbx9EEAwOMFZnYwE8THS8wsnz4IAHi8wMwWZoL4eIGZqslGAAicF8QszAQR8oKYrfHgNIiPF5hZwUwQH+8wE49ngth4gZl41ARESPpmDjATREj6ZvZ41ARESPpmdkhoBxHyDjOLpw8CACbpm9nCTBAh6ZtJfnEtAAGRvpk1kvNAhKQftEgBAjGSvpkZUoBAhCRvJhINQJQkbyYSDUCUJG9mBzNBjCRvZosUIBAjyZvZINEAxEjyZtZINAAxkryZFRINQIykHrXjTRMkGoD4SN3MHrczQZSkbiZumoA4Sd1M3DQBcZK6mbhpAuIkdTNx0wTESepmZrhpAqIk8bDFTRMQKYmbiZsmIFISN7PFTRMQJ4mb2eCmCYiTxM2scdMExEniZiKfHURK2nGLoVkQK2mb2WPiPBApaZuJfHYQK2mbiaFZECtpm4mhWRAraZuJoVkQK0kHLoZmQbQkbSayZkG0JG0mhmZBtCRtJoZmQbQkbSYmNADRkrSZGJoF0ZJy5A7IzQPRkrKZGJoF8ZKymRiaBfGSspmYaxbES8pmYmgWxEvKZmJoFsRLyqGLoVkQLwmbiaFZEDEJm9khNw/ES8JmthiaBfGSsJkYmgURk7CZFR6bBvGSsJkYmgURk66ZA3LzQMSkayaGZkHMpGsmhmZBzKRrZoPcPBAx6QZvjaFZEDHpmomhWRAzyZqJoVkQNcma2WNoFsRMsmZ2GJoFMZOsmdSh2XE5IugcA38kayZ1aLamm4mHPYE/kjWzIg7NVjAThEiyZlJ7nwwzcRMG+CNVM8lDszATBEmqZpKHZhlmIqUI+CNVM8d8dtKCMBMESapm1lSRYCYIklTNrKiXhQwzU60rECKpRltGTQyAmSBIEo22MZ89Jy3JMbO89ZgBEEjUTHrWLMwEQZKomeShWU52HjLkgT8SNbMhj6Q2k3Oaa1KYCZ4iUTNrcsbObKY2JbaCmeAREjVTfxqUaSfn9Bq3gpm5m4MD4Jw0zaQPzU5jRcYTbAczwQOkaWZP73rO4pkuSpvNTDw6DbyRppkdeWh2kvhk6RpmAu+kaSZ9aHbq+GbmW5XDaiYenQbeSNNM+tDsemekNC3SwkzgmzTNrBgWUW6IwEzgmzTN5IyjVoRh1+WkiUkNgDeSNJMxNLuO75gHdwaYCTyTpJnd2YWjSEMZdm1O760A4JQkzaTns39O0/NmepgJ/JKkmZyh2dP0vJnq

Page 136: Lec10

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

Page 137: Lec10

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

Page 138: Lec10

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

Page 139: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0070_image033.jpgContent-Transfer-Encoding: base64Content-Type: image/jpeg

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

Page 140: Lec10

du9bqQD07lfjehs7KzfD0cmAv2OH5onitJNJYx8waSxzHEvdGT4Oa4u7+8Ea7iur+E4pMHmMY65LvLzyyyzBoBHPocuvINAb7Qv/0/TblmTh/EkRRyXrszi2vDGwgPkI9VoHcxgAGyToAE9/f14axBwWBrUJJBLMwF88g/XkcS55+zmJVooOUwuMzcLIcnShtxsdzNbK3YB7tqs/IHhL/N+j/dBWGKwGIwfafivHwU+112nZM1za7t/vKsURFEyWQgxlN1mfmd1DWRsG3yPPRrWjxJKi4jHTslkyeS5XZCwNFrTttdneI2nyHeT4nr3aAnXLlbH1JLdydkEETeZ8kjtABdIZBNCyUNc0PaHAOGiN+azuCjk4fy1vCzRv+iWp5LVCYNJb655nxE+BDuYjfeD7Cu1zh25c4hp5h+UaHURI2CL6NtrQ/QJPrbJ0Nb+1XxAI0eoKymGsv4ToWsNcrWZY6AkmpOgiLzPX3zBo1+u3fKW+QB8V3xbJMrxhazfZSMpwU2VKrpGlvOS7nkcAfDoxu/HRWlRFnOI+Gb+fsV3MzhqQVp47EcQqtfqRh2CST1G/BT7F2bB4Vslx8uStD1GiGHlfO875Who6D7e4d5XPhfEz4jDCO45rrtmV9m05vd2sji5wHsGwB7ArhUvD1G1StZt9mPkbayTpoTsHmYY4xv8Ae0/uV0qDI8O3MhnaOVdlGtOPdIa8P0YFoLxykn1upA7u5X3h1Wb4ajkwNmbhyxG8Qtkkmx8waSx8TnFxYT4OYSRo940R466P4Shk4eyeJdckJydiSeablGyXu3rXloBvtAVzSqmpByPlMr3OLnOI0NnwA8AO4D2KQio8/nXUGWKVanbmvPqukrdnCSx7yeVrebu3vqfIdV9xsUPCfCFSvOHvFKuxjhEwvdI/Q3ygdSS4/wAV84WxtmnUtXcgwR3snYdanjB32WwAxm/Hla1o+3avFS4qjar8TZ23LHywWnQGF2x63LHo/Z1X/9T2ZVcOEZFlspkTYkMuQjjjGgB2LWNIAaftc4/evnD+EGBxsVIWHTNhiZEw8vKA1o8tnqSSSfElWqLnOySSvIyGXspHNIZJy83KddDrxWdw/C+UxWZs5F/EBsC7I2S1EabGiQtYGjRB9XoB3L5m8ezirN18dI1zsdji+W3zMIEkrmFsbGnuOg5zjru9XzWnRERERERRr4eaUnLP2AABfJ4taD62vI6318Fh6+QyzuEsLeORsuyGUuxNqMLujYnSF2nD9f8ANA7J6rfRSxzxMlieHxvAc1wPQg9xVLmsHieIclDDat2mWqTO1YytafEWB2283qkd+iN/aov5BY3+ss3/ALVn/mUaz+DvhhrmXcjLcmZVcJea5kJHsbo72eZ2tLTY7J0ctWNnH2Y7MAe5naRnbSQdHR8eqlIiIiIiIiIv/9X2ZERERERERERERERERERERc7EEVqtLXnYHxSsLHtP6zSNEfuUWfC46xWrVparDFU12DQS3s9NLdAjr9UkfYVM5eSPlia1vKNNHcB5fcs5UvX5ZM/HJcmdHS7OJk0EAfI2Xsw5/K3R2BzN0CD4qp/GN/8Arvib/Ybf+kr/AAEzrNGx9MtXrTA7ROQpCuQNdwHK3Y9qi8DyRHH5Fkb2HWVtnlaR0Hau8lpkX//W9mREREREREREREREREREREREREREX//X9mRERRr0Vuaty0rTa0we1we6MPBAIJaR7Rsb8NrjiMW3E1ZIhKZpZpnzzSka53vOydeA8APIBT1zmgiswvhniZLE8acx7QWuHkQVHpYjGY6R0lHHVar3DTnQwtYSPI6CmIiIiIiIiIiIiIiIiIiIi//Q9mRERERERERERfl72xsL3uDWtGySdABcY79KWRkcduB75BzMa2QEuHmPNSFzsPljryPhh7aRrSWR8wbzHy2e5VfDeYs5mpbkt1GVZq1ySuY2Sc4HIR46G1cIiIiIiIiIiIi//9H2ZEREREREREREREREREUfIG4MfYOPbE632buwEpIZz66b14bWO4gp5XhfBSZ2LiW/ZvV+Vz4bBa6Cy4kDsxGG+rsnQ5TsdO9bC0HS46Rxrdq/s+cQk/WcOob+8LLUsBex9fhuBtQP+i89m05pA3Zc3W3Hy/OSHY39UBaCfESTzvlGWyEQcd8kcjQ1v2bausFeTG1ZnCa3fcAXBsjml50Pqt6AfvVNwi2/BJkoruKs1BYuzWo3yOjLS1xGh6rid/8Ae1pkRERf/9L2ZEREREREREREREREREREREREREXKzJJDVllihdPIxhc2JpALyB0AJ6dfav/T1NefPWchHks3wjkLVmJ268DLEHYVvItBf6z/ANo/cAt40ktBI0SO7yWU47z+a4Zr1clShgkxrZAy890TnyQtJGngBwBHn9ys6wy1ytFarZqjLDMwPje2kSHNPUEfnFEyQ4zqM7ehNir7WEF8D4HxPe3xDXc5G9d21oIZWzwMmYCGyNDgHDR6+YUW1mKFK22pPORO9naCNrHPdy71vQB0NqI3i3BPrustvAwNfyOlET+Vrt6IJ1odeik5PMQ42StX7OSxbtv5IK8WuZ+vrO69A0DqSf8AeQFNmmjrwvnmkbHFG0ue9x0GgdSSVXW8/Up/QppA40rpaGXGaMTXO1ycx8A7fQ929eYVovi4Ub1bJUorlOUTV5hzMeN6cPvUhERFwt3atCEz3LMNeId75Xhjf3lKV2tkacVynM2avM3mjkb3OHmu6IiIiIiIiIiIi//U9mREREVVn7VyrVjdSyGNovL9F+QBLXDXcNOb1VD+OM9/nRwp/Yd/1Vc8PXL9vt/puUxN7l5eX8Xgjk79823O+771dLjastqQmV8crwDrUUbnu/cBtQvx7B/Q8j/gZf5VPgmFiFsrWvYHDYEjC1w+0HqEsV4bdeSvYjbLDK0sexw2HNI0QVheE2XuDuKZODpmzWMVYY+zi5/rdi0H1o3HwAJ7/Mjz6b5FVZeeDB4zK5o752VzI4k/+xp5Wj2b395Kg8J4RtfgPHY22Hc0kDZJ+vUveed2/vJX4xX6X+EDPWJerqUFetAD+qxwMjtfaSP7IXfi3K3cRhrV2vHCY4Ig4CVvN2z3O5Wx62NAkjZ9o0p+Xow5Hh+3RsxtEc1ZzHN8G7b4fZ/9KNwfemyXB+IuWSXTTVI3Pce9x5Rs/f3rjb4pfWsy1xw5nJuzcW9pDWa5j/aDzdQs/wAGcUPqcIY2AcO5ufki12kNZrmO6nuPMtxLLMaTpYIS6Yx8zInnl9bXQHyWQk4ozDOG8vl+aqY8dZlhrnsz+llruUdN+rt3q9N+a2jC5zGlzeVxHUb7iqt/EVVj3NNPJEtOtihKR/wqTRykOQc9sUFqMsAJ7es+IH7OYDaZWlVu0JBaqw2BG1z2CWMPDXaPUb7iqj8Hn/p/hP8ARGLSIiIiL//V9mREREREREREREUe5j6WRjbHepwWmNO2tmia8A+YBCh/kxw//UWN/wAJH/yUqli8fjuf6DQrVefXP2ELWc2u7eh1UpERQspko8XU7Z7HSyPcGQws+vM89zR/z8BsnoFxxGNlrGS9fe2XI2tGZ7fqxgd0bP2Rv7zsnvXbKZjHYao+1kbkVaJg2S92ifYB3k+wKTBIZq8cro3Rl7Q4sd3t2O4+1VnEXD7eI8fJj7F6xBVmAEscIZ6+jvvIJ8ArKtFJBA2OSZ0zm/ruaGk/cAAqK9VsYnicZytBJPVuRNr3o4m8z2FpPZygeIHMWuA66IPgVHyhu8SW6eOGMs1q9bJCW1JO0Bj44jtvKf1ud3KQPIHelP4nffsUTiMZFJ9JvtMRscv5utGejnk+eidDvJ14bVpRpw46hXpV28sNeJsUY8mtGh/uXYjYIVRwnjrOI4XoY+2Gtngj5Xhrtjez4q3PUeSohwlSZw9UwzJphHUmZOyQ6LnSNfz7cNaO3dSNL//W9gq1mVK7IGFzg3e3POy4k7JPtJJK7IoOWx8uSqfR4shZoknbpK4ZzOGiNesCNdVE4c4d/Juk2lFk7dutGxrIY7HJqIDyLWg/v2rlEREREREREREREREREREUXIta6hN2kxhjaOaR7eh5B1cN+GwCN+1YKB1wcIYGd1uz+M8pcidXc6V36PCXmUjW+rRE0g73v9y9DhmjsQMmidzRyNDmnWtg9yqMxg8FxDejrZSm6zNWj7RmzI1rA466EEDZ19qh/wCTjhL+qB/iJf5l/9fcWOA+B8Sw5OziYIm1tSGWSR7uXR2O8nfXw8VeY7PU8nYfWjbYgsNZ2nY2YHRPczeuYBwGxvp07lZIiIiIiIiIiIiIiIiIiIiIiIiIv//Q9mREREX4lijnhfDKxskcjS17HDYcD0IIXGbHUrEEUE1SGSKEgxscwEM0NDQ8OnT7FIIPKQ3QOunTuWZoy3JrHEMRs3LEFbs4GdiQJDL2fNIWb6A+u0AdwIVV2dv/AOHjb++g/mX6vsnj4aknlZmRFXv1Z5hk3Me7smStc4t5CfVAGz9itJrlfJ8b4k4+xFYFWrYfYfC8ODWv5A0EjzI2B+yVpkREREREREREREREREX/0fZkREREXjPpCe63x/y09IT3W+P+WnpCe63x/wAtPSE91vj/AJaekJ7rfH/LT0hPdb4/5aekJ7rfH/LT0hPdb4/5aekJ7rfH/LT0hPdb4/5aekJ7rfH/AC09IT3W+P8Alp6Qnut8f8tRr34e5bdUxQ4GWq/ma4Sx3wSNEHXWLuOtH2Fc8X+HGHFVnwxcMvkdLK+aWR+Q9aR7jtzjqL+HgAFN9IT3W+P+Wvh/8QYI0eFtj/T/AJa5V/w81qbXNq8HRQNcdkRXA0E+fSJdvSE91vj/AJaekJ7rfH/LT0hPdb4/5aek

Page 141: Lec10

J7rfH/LT0hPdb4/5aekJ7rfH/LT0hPdb4/5aekJ7rfH/AC09IT3W+P8Alp6Qnut8f8tPSE91vj/lp6Qnut8f8tPSE91vj/lp6Qnut8f8tf/SekJ7rfH/AC09IT3W+P8Alp6Qnut8f8tPSE91vj/lp6Qnut8f8tPSE91vj/lp6Qnut8f8tPSE91vj/lp6Qnut8f8ALT0hPdb4/wCWnpCe63x/y09IT3W+P+WnpCe63x/y09IT3W+P+WnpCe63x/y09IT3W+P+WnpCe63x/wAtPSE91vj/AJaekJ7rfH/LT0hPdb4/5a//2a==

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0071.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0071.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Randomized Quicksort Analysis=(2)"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"161"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);

Page 142: Lec10

visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>16=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s164866" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:66pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s164867" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:120pt;width:9in;height:390pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s164866" class=3DT style=3D'position:absolute;top:8=.75%; left:5.99%;width:102.43%;height:8.5%'>Randomized Quicksort Analysis(2)</di=v> <div v:shape=3D"_x0000_s164867" class=3DB> <div style=3D'position:absolute;top:23.25%;left:5.99%;width:92.69%;height:=6.75%'><span style=3D'position:absolute;top:0%;left:4.04%;width:95.95%;height:100.0%'><=span class=3DBB style=3D'position:absolute;left:-4.21%;top:.3em'>&uml;</span>We= have seen this recurrence before.&#13;</span></div> <span style=3D'position:absolute;top:31.75%;left:9.73%;width:84.45%;height=:6.75%'><span class=3DBB style=3D'position:absolute;left:-4.43%;top:.3em'>&uml;</span>It= is the recurrence for the expected </span><span style=3D'position:absolute;top:39=.0%; left:9.73%;width:97.19%;height:6.75%'>number of comparisons required to in=sert </span><span style=3D'position:absolute;top:46.0%;left:9.73%;width:85.2%; height:6.75%'>a randomly chosen permutation of n </span><span style=3D'position:absolute;top:53.25%;left:9.73%;width:84.45%;height:6.75%='>elements.&#13;</span> <div style=3D'position:absolute;top:61.75%;left:5.99%;width:88.2%;height:6=

Page 143: Lec10

.75%'><span style=3D'position:absolute;top:0%;left:4.24%;width:95.75%;height:100.0%'><=span class=3DBB style=3D'position:absolute;left:-4.43%;top:.3em'>&uml;</span>We= proved that T(n) =3D O(nlog<span style=3D'font-size:66%;position:relative;top:.37=em; mso-text-raise:-25%'>2</span><span style=3D'mso-spacerun:yes'>&nbsp;</span>n).&#13;</span></div> <span style=3D'position:absolute;top:70.25%;left:9.73%;width:95.69%;height=:6.75%'><span class=3DBB style=3D'position:absolute;left:-3.91%;top:.3em'>&uml;</span>He=nce expected number of comparisons </span><span style=3D'position:absolute; top:77.25%;left:9.73%;width:84.45%;height:6.75%'>required by randomized quicksort is </span><span style=3D'position:absolute;top:84.5%;left:9.73%; width:84.45%;height:6.75%'>O(nlog<span style=3D'font-size:66%;position:rel=ative; top:.37em;mso-text-raise:-25%'>2</span><span style=3D'mso-spacerun:yes'>&nbsp;</span>n)</span></div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0072.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0072.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Randomized Quicksort running =times"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;

Page 144: Lec10

width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"162"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>17=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s165890" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:66pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s165891" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:156pt;width:9in;height:306pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s165890" class=3DT style=3D'position:absolute;top:9=.25%; left:5.99%;width:98.5%;height:7.75%'><span style=3D'font-size:90%'>Randomi=zed Quicksort running times</span></div>

Page 145: Lec10

<div v:shape=3D"_x0000_s165891" class=3DB><span style=3D'position:absolute; top:30.0%;left:9.73%;width:91.76%;height:6.75%'><span class=3DBB style=3D'position:absolute;left:-4.08%;top:.3em'>&uml;</span>Worst case ru=nning time of quicksort is </span><span style=3D'position:absolute;top:37.0%; left:9.73%;width:84.45%;height:6.75%'>O(n<span style=3D'font-size:66%; position:relative;top:-.45em;mso-text-raise:30%'>2</span>)&#13;</span><span style=3D'position:absolute;top:45.5%;left:9.73%;width:88.38%;height:6.75%'=><span class=3DBB style=3D'position:absolute;left:-4.23%;top:.3em'>&uml;</span>Be=st case running time of quicksort is </span><span style=3D'position:absolute;top:5=2.75%; left:9.73%;width:84.45%;height:6.75%'>O(nlog<span style=3D'font-size:66%; position:relative;top:.37em;mso-text-raise:-25%'>2</span><span style=3D'mso-spacerun:yes'>&nbsp;</span>n)&#13;</span><span style=3D'posit=ion: absolute;top:61.25%;left:9.73%;width:87.26%;height:6.75%'><span class=3DBB style=3D'position:absolute;left:-4.29%;top:.3em'>&uml;</span>Expected runn=ing time of quicksort is </span><span style=3D'position:absolute;top:68.25%; left:9.73%;width:84.45%;height:6.75%'>O(nlog<span style=3D'font-size:66%; position:relative;top:.37em;mso-text-raise:-25%'>2</span><span style=3D'mso-spacerun:yes'>&nbsp;</span>n)</span></div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0073.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0073.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: What does expected running ti=me mean?"><link rel=3DStylesheet href=3D"master12_stylesheet.css">

Page 146: Lec10

<![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"163"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>18=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s166914" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:684pt;height:60pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s166915" type==3D"#_x0000_m132111" style=3D'position:absolute;left:24pt;top:114pt;width:9in;height:384pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s166914" class=3DT style=3D'position:absolute;top:8=

Page 147: Lec10

.75%; left:5.99%;width:109.55%;height:7.75%'><span style=3D'font-size:90%'>What =does expected running time mean?</span></div> <div v:shape=3D"_x0000_s166915" class=3DB><span style=3D'position:absolute; top:22.25%;left:8.05%;width:96.62%;height:6.0%'><span style=3D'font-size:8=8%'><span class=3DBB style=3D'position:absolute;left:-3.87%;top:.3em'>&uml;</span></=span><span style=3D'font-size:88%'>The running time of quicksort does not depend </sp=an></span><span style=3D'position:absolute;top:28.25%;left:8.05%;width:100.0%;height:6.0%'=><span style=3D'font-size:88%'>on the input. It depends on the random numbers </s=pan></span><span style=3D'position:absolute;top:34.5%;left:8.05%;width:84.45%;height:6.0%'>=<span style=3D'font-size:88%'>provided by the generator.&#13;</span></span><span style=3D'position:absolute;top:42.0%;left:8.05%;width:98.68%;height:6.0%'>=<span style=3D'font-size:88%'><span class=3DBB style=3D'position:absolute;left:-=3.79%; top:.3em'>&uml;</span></span><span style=3D'font-size:88%'>Thus for the sa=me input the program might take </span></span><span style=3D'position:absolut=e; top:48.25%;left:8.05%;width:84.45%;height:6.0%'><span style=3D'font-size:8=8%'>3sec today and 5sec tomorrow.&#13;</span></span><span style=3D'position:absolut=e; top:55.75%;left:8.05%;width:101.12%;height:6.0%'><span style=3D'font-size:=88%'><span class=3DBB style=3D'position:absolute;left:-3.7%;top:.3em'>&uml;</span></s=pan><span style=3D'font-size:88%'>The average time taken over many different runs </=span></span><span style=3D'position:absolute;top:62.0%;left:8.05%;width:99.81%;height:6.0%'>=<span style=3D'font-size:88%'>of the program would give us the expected time. &#=13;</span></span><span style=3D'position:absolute;top:69.5%;left:8.05%;width:100.18%;height:6.0%'=><span style=3D'font-size:88%'><span class=3DBB style=3D'position:absolute;left:-=3.73%; top:.3em'>&uml;</span></span><span style=3D'font-size:88%'>Same as saying =that we are taking average over </span></span><span style=3D'position:absolute; top:75.75%;left:8.05%;width:100.93%;height:6.0%'><span style=3D'font-size:=88%'>all possible random number sequences provided </span></span><span style=3D'position:absolute;top:82.0%;left:8.05%;width:84.45%;height:6.0%'>=<span style=3D'font-size:88%'>by the generator.</span></span></div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/slide0074.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

Page 148: Lec10

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><!--[if !mso]><style>v\:* {behavior:url(#default#VML);}o\:* {behavior:url(#default#VML);}p\:* {behavior:url(#default#VML);}.shape {behavior:url(#default#VML);}v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\slide0074.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/5/2005: Analysis of insertion in BST"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

{left:0px !important;width:6.0in !important;height:4.5in !important;font-size:107% !important;}

--></style><script src=3Dscript.js></script><script><!--if( !IsNts() ) Redirect( "PPTSld" );//--></script><!--[if vml]><script>g_vml =3D 1;</script><![endif]--><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"164"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master12.xml"> <p:shaperange href=3D"master12.xml#_x0000_s132097"/><![if !ppt]><p:shapera=nge href=3D"master12.xml#_x0000_s132098"/><p:shaperange href=3D"master12.xml#_x0000_s132099"/> <div v:shape=3D"_x0000_s132099" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>19=</span><span

Page 149: Lec10

style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'>&#13;</span></div> </div> <p:shaperange href=3D"master12.xml#_x0000_s132100"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s132100,_x0000_s132101,_x0000_s132102,_x0000_s132103,_x=0000_s132104,_x0000_s132105,_x0000_s132106,_x0000_s132107,_x0000_s132108,_x=0000_s132109" src=3D"master12_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s167938" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:66pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s167939" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:120pt;width:9in;height:372pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s167938" class=3DT style=3D'position:absolute;top:8=.75%; left:5.99%;width:88.2%;height:8.5%'>Analysis of insertion in BST</div> <div v:shape=3D"_x0000_s167939" class=3DB> <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute; top:22.75%;left:9.73%;width:84.45%;height:6.0%'><span style=3D'font-size:8=8%'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-4.43%;top:.3em;font-family:Wingdings;font-size:75%'>&uml;</=span></span><span style=3D'font-size:88%'>When creating a binary search tree on n </span></s=pan><span style=3D'position:absolute;top:28.25%;left:9.73%;width:96.62%;height:6.0%'=><span style=3D'font-size:88%'>elements the running time does depend on the </spa=n></span><span style=3D'position:absolute;top:34.0%;left:9.73%;width:84.45%;height:6.0%'>=<span style=3D'font-size:88%'>order of the elements.&#13;</span></span></div> <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute; top:40.75%;left:9.73%;width:92.5%;height:6.0%'><span style=3D'font-size:88=%'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-4.04%;top:.3em;font-family:Wingdings;font-size:75%'>&uml;</=span></span><span style=3D'font-size:88%'>Our algorithm for insertion did not employ an </sp=an></span><span style=3D'position:absolute;top:46.5%;left:9.73%;width:84.45%;height:6.0%'>=<span style=3D'font-size:88%'>random bits.<span style=3D'mso-spacerun:yes'>&nbsp; </span>&#13;</span></span></div> <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute; top:53.25%;left:9.73%;width:97.56%;height:6.0%'><span style=3D'font-size:8=8%'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=

Page 150: Lec10

n: absolute;left:-3.83%;top:.3em;font-family:Wingdings;font-size:75%'>&uml;</=span></span><span style=3D'font-size:88%'>Given a specific input order the algorithm takes <=/span></span><span style=3D'position:absolute;top:58.75%;left:9.73%;width:84.45%;height:6.0%'=><span style=3D'font-size:88%'>the same time each day.&#13;</span></span></div> <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute; top:65.75%;left:9.73%;width:98.31%;height:6.0%'><span style=3D'font-size:8=8%'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-3.8%;top:.3em;font-family:Wingdings;font-size:75%'>&uml;</s=pan></span><span style=3D'font-size:88%'>However, the time taken is different for different= </span></span><span style=3D'position:absolute;top:71.25%;left:9.73%;width:84.45%;height:6.0%'=><span style=3D'font-size:88%'>input orders. &#13;</span></span></div> <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute; top:78.25%;left:9.73%;width:95.5%;height:6.0%'><span style=3D'font-size:88=%'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-3.92%;top:.3em;font-family:Wingdings;font-size:75%'>&uml;</=span></span><span style=3D'font-size:88%'>The average time taken over all possible input </s=pan></span><span style=3D'position:absolute;top:83.75%;left:9.73%;width:84.45%;height:6.0%'=><span style=3D'font-size:88%'>orders is O(nlog</span><span style=3D'font-size:58=%; position:relative;top:.37em;mso-text-raise:-25%'>2</span><span style=3D'font-size:88%'><span style=3D'mso-spacerun:yes'>&nbsp;</span>n).<=/span></span></div> </div></p:slide></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/master01.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\master01.htm"id=3D"webarch_temp_base_tag"><![endif]>

Page 151: Lec10

<meta name=3DRobots content=3DNoIndex><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><script src=3Dscript.js></script><script><!--

parent.location.href=3Ddocument.all.item("Main-File").href//--></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"17"/></o:shapelayout></head>

<body><p:colorscheme colors=3D"#FFFFFF,#000000,#808080,#000000,#BBE0E3,#333399,#009999,#99CC00"=/><v:background id=3D"_x0000_s17409" o:bwmode=3D"white" fillcolor=3D"white [0]"> <v:fill color2=3D"#339 [5]"/></v:background><v:shapetype id=3D"_x0000_s17410" style=3D'position:absolute=;left:0; top:0;width:234pt;height:36pt' coordsize=3D"21600,21600" o:master=3D"" o:s=pt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#bbe0e3 [4]" =stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"header" size=3D"quarter"/></v:shapetype>

<div v:shape=3D"_x0000_s17410" class=3DO><span style=3D'font-size:50%;mso-f=ield-code:meta14'>&#8249;header&#8250;</span><span style=3D'font-size:50%;mso-special=-format:lastCR'>&#13;</span></div>

<v:shapetype id=3D"_x0000_s17411" style=3D'position:absolute;left:306pt;top=:0; width:234pt;height:36pt' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"=1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black =[1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"dateTime" position=3D"1"/></v:shapetype>

<div v:shape=3D"_x0000_s17411" class=3DO style=3D'text-align:right'><span l=ang=3DEN-USstyle=3D'font-size:50%;mso-field-code:meta0'>&#8249;date/time&#8250;</span>=<spanstyle=3D'font-size:50%;mso-special-format:lastCR'>&#13;</span></div>

<v:shapetype id=3D"_x0000_m17412" style=3D'position:absolute;left:90pt;top:=54pt; width:5in;height:270pt;v-text-anchor:middle' coordsize=3D"21600,21600" o:m=aster=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe"> <v:fill o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter"/>

Page 152: Lec10

<v:shadow obscured=3D"t"/> <v:path gradientshapeok=3D"t" fillok=3D"f" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage" position=3D"2"/></v:shapetype><v:shapet=ype id=3D"_x0000_m17413" style=3D'position:absolute;left:1in;top:342pt;width:3=96pt; height:324pt' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"=m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black =[1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"body" position=3D"3" size=3D"quarter"/></v:shapetyp=e>

<div v:shape=3D"_x0000_m17413">

<div class=3DN><span style=3D'font-family:Times;mso-ascii-font-family:Times='>Clickto edit Master text styles&#13;</span></div>

<div class=3DN1><span style=3D'font-family:Times;mso-ascii-font-family:Time=s'>Secondlevel&#13;</span></div>

<div class=3DN2><span style=3D'font-family:Times;mso-ascii-font-family:Time=s'>Thirdlevel&#13;</span></div>

<div class=3DN3><span style=3D'font-family:Times;mso-ascii-font-family:Time=s'>Fourthlevel&#13;</span></div>

<div class=3DN4><span style=3D'font-family:Times;mso-ascii-font-family:Time=s'>Fifthlevel</span></div>

</div>

<v:shapetype id=3D"_x0000_s17414" style=3D'position:absolute;left:0;top:684=pt; width:234pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" =fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"footer" position=3D"4" size=3D"quarter"/></v:shapet=ype>

<div v:shape=3D"_x0000_s17414" class=3DO><span style=3D'font-size:50%;mso-f=ield-code:meta15'>&#8249;footer&#8250;</span><span style=3D'font-size:50%;mso-special=-format:lastCR'>&#13;</span></div>

<v:shapetype id=3D"_x0000_s17415" style=3D'position:absolute;left:306pt;top=

Page 153: Lec10

:684pt; width:234pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" =fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"slideNumber" position=3D"5" size=3D"quarter"/></v:s=hapetype>

<div v:shape=3D"_x0000_s17415" class=3DO style=3D'text-align:right'><spanstyle=3D'font-size:50%;mso-field-code:meta16'>&#8249;#&#8250;</span><spanstyle=3D'font-size:50%;mso-special-format:lastCR'>&#13;</span></div>

<p:notes id=3D"66" layout=3D"notes" slots=3D"slideImage,body"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"156"/> </o:shapelayout><v:shape id=3D"_x0000_s159746" type=3D"#_x0000_m17412" sty=le=3D'position:absolute; left:90.75pt;top:54.5pt;width:358.625pt;height:269pt'> <v:fill o:detectmouseclick=3D"t"/> <v:stroke o:forcedash=3D"t"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s1597=47" type=3D"#_x0000_m17413" style=3D'position:absolute;left:1in;top:342pt;wid=th:396pt; height:324pt'> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s159747" class=3DN><span style=3D'font-family:Times; mso-ascii-font-family:Times'>larger constant in the O notation</span><span lang=3DEN-GB style=3D'font-family:Times;mso-ascii-font-family:Times;mso-sp=ecial-format: lastCR'>&#13;</span></div></p:notes></body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/master12_stylesheet.cssContent-Transfer-Encoding: base64Content-Type: text/css

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

Page 154: Lec10

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

Page 155: Lec10

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

Page 156: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/script.jsContent-Transfer-Encoding: quoted-printableContent-Type: application/javascript; charset="us-ascii"

function LoadSld(){

var sld=3DGetObj("SlideObj")if( !g_supportsPPTHTML ) {

sld.style.visibility=3D"visible"return

}if( MakeNotesVis() ) returnrunAnimations =3D _InitAnimations();if( IsWin("PPTSld") )

parent.SldUpdated(GetSldId())g_origSz=3DparseInt(SlideObj.style.fontSize)g_origH=3Dsld.style.posHeightg_origW=3Dsld.style.posWidthg_scaleHyperlinks=3D(document.all.tags("AREA").length>0)if( g_scaleHyperlinks )

InitHLinkArray()if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) )

document.body.scroll=3D"no"_RSW()if( IsWin("PPTSld") && parent.IsFullScrMode() )

FullScrInit();=09

MakeSldVis();ChkAutoAdv()

if( runAnimations ){

if( document.all("NSPlay") )document.all("NSPlay").autoStart =3D false;

if( sld.filters && sld.filters.revealtrans )setTimeout( "document.body.start()",

sld.filters.revealtrans.duration * =1000 );

elsedocument.body.start();

}}function MakeSldVis()

Page 157: Lec10

{var fTrans=3Dg_showAnimation && SldHasTrans()if( fTrans ){

if( g_bgSound ) {idx=3Dg_bgSound.indexOf(",");pptSound.src=3Dg_bgSound.substr( 0, idx );pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1)));

}SlideObj.filters.revealtrans.Apply()

}SlideObj.style.visibility=3D"visible"if( fTrans )

SlideObj.filters.revealtrans.Play()}function MakeNotesVis(){

if( !IsNts() ) return falseSlideObj.style.display=3D"none"nObj =3D document.all.item("NotesObj")parent.SetHasNts(0)if( nObj ) {

nObj.style.display=3D""parent.SetHasNts(1)

}return 1

}function ChkAutoAdv(){

if(SldHasTrans())SlideObj.onfilterchange=3DAutoAdv

elseAutoAdv()

}function AutoAdv(){

if(!IsWin("PPTSld") || !gUseSldTimings )returnvar sld=3DGetCurSld()if( (sld.mAdvDelay>0) && !parent.IsFramesMode() )

setTimeout("parent.GoToNextSld()",sld.mAdvDelay)}function GetObj(id){

if(g_supportsPPTHTML) return document.all(id);else return document.getElementById(id);

}function SldHasTrans() { return SlideObj.style.getAttribute("filter")!=3D""= }function GetSldId() { return sId=3Dlocation.href.substring(location.href.la=stIndexOf('/')+1) }function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx=tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl=e.display=3D'none'; return true } return false }function IsWin( name ) { return window.name =3D=3D name }function IsNts() { return IsWin("PPTNts") }function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) }function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"= && navigator.appVersion.indexOf("Windows")>0 ) }function SupportsPPTHTML(){

var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0if( msie >=3D 0 )

ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) )

Page 158: Lec10

elsever=3DparseInt(appVer)

return( ver >=3D 4 && msie >=3D 0 )}function _RSW(){

if( !g_supportsPPTHTML || IsNts() || ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) )

return var padding=3D0; if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6

cltWidth=3Ddocument.body.clientWidth-paddingcltHeight=3Ddocument.body.clientHeight-paddingfactor=3D(1.0*cltWidth)/g_origWif( cltHeight < g_origH*factor )

factor=3D(1.0*cltHeight)/g_origHnewSize =3D g_origSz * factorif( newSize < 1 ) newSize=3D1s=3DSlideObj.styles.fontSize=3DnewSize+"px"s.posWidth=3Dg_origW*factors.posHeight=3Dg_origH*factors.posLeft=3D(cltWidth-s.posWidth+padding)/2s.posTop=3D(cltHeight-s.posHeight+padding)/2if( g_scaleHyperlinks )

ScaleHyperlinks( factor )}function _InitAnimations(){

animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined';isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode();g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !

(isFullSc=reen && parent.IsSldVisited());

if( g_animUseRuntime ) {collSeq =3D document.all.tags("seq");if( collSeq !=3D null ) {

for(ii=3D0;ii<collSeq.length;ii++) {if( collSeq[ii].getAttribute( "p:nodeType" ) =3D=3D

"mainSeq" ) {g_animMainSequence =3D collSeq[ii];break;

}}

}if( g_animItemsToHide ) {

for(jj =3D 0; jj < g_animItemsToHide.length; jj++) {if( hideObj =3D GetObj(g_animItemsToHide[jj]) )

hideObj.runtimeStyle.visibility=3D"hidden";}

}if( g_animInteractiveItems ){

for(jj =3D 0; jj < g_animInteractiveItems.length; jj++) {if( triggerObj =3D GetObj(g_animInteractiveItems[jj]) )

triggerObj.runtimeStyle.cursor=3D"hand";}

}if( gUseSldTimings && ''+g_animSlideTime !=3D 'undefined' ) {

adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim=e, g_animEffectTimings );

if( IsWin("PPTSld") && adjustedTime !=3D g_animSlideTime ) { var sld =3D GetCurSld(); sld.mAdvDelay =3D adjustedTime * 1000;

Page 159: Lec10

}}

}return g_animUseRuntime;

}gSldJump =3D 0, gSldJumpTrack =3D 0, gSldJumpIdx =3D "";function _KPH(){

if( IsNts() ) return;if( !parent.IsFramesMode() && event.keyCode =3D=3D 27 && !HideMenu() )

parent.window.close( self );else if( event.keyCode =3D=3D 32 ) {

if( window.name =3D=3D "PPTSld" )parent.PPTSld.DocumentOnClick();

elseparent.GoToNextSld();

}CatchNumKeys( parent, event );

}function CatchNumKeys( win, event ) {

if( win.IsFullScrMode() && (48<=3Devent.keyCode) && (event.keyCode<=3D57) =) {

gSldJump =3D 1;gSldJumpIdx +=3D (event.keyCode-48).toString();

}if( win.IsFullScrMode() && gSldJump && event.keyCode =3D=3D 13 ) {

var numSlds =3D parent.GetSldList().mList.lengthif ( gSldJumpIdx > numSlds )

gSldJumpIdx =3D numSlds;if ( gSldJumpIdx >=3D 0 ) {

if ( gSldJumpIdx =3D=3D 0 )gSldJumpIdx =3D 1;

var jumpTo =3D parseInt(gSldJumpIdx);gSldJump =3D 0; gSldJumpIdx =3D "";win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref )

}}

}function _KDH(){

if( event.keyCode =3D=3D 8 ) {event.returnValue =3D 0;parent.GoToPrevSld();

}}function DocumentOnClick(){

if( IsNts() || parent.HideMenu() ) return;if( ( g_allowAdvOnClick && (window.name=3D=3D"PPTSld") && !

parent.IsFrames=Mode() ) ||

(event && event.keyCode=3D=3D32) ) {if( g_animUseRuntime && g_animMainSequence &&

g_animMainSequence.cangonex=t )

return;parent.GoToNextSld();

}}

var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""=, g_bgSound=3D"", g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser =

Page 160: Lec10

=3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1;var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w=indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va=r g_animManager =3D null;var g_animUseRuntime =3D false;var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;var g_animMainSequence =3D null;var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram=es", gIsEndShow=3D0, NUM_VIS_SLDS=3D19, SCRIPT_HREF=3D"script.js", FULLSCR_=HREF=3D"fullscreen.htm";var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO=tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D truewindow.gPPTHTML=3DSupportsPPTHTML()var gMainDoc=3Dnew Array(new hrefList("slide0056.htm",1,-1,1),new hrefList(="slide0057.htm",1,-1,1),new hrefList("slide0058.htm",1,-1,1),new hrefList("=slide0059.htm",1,-1,1),new hrefList("slide0060.htm",1,-1,1),new hrefList("s=lide0061.htm",1,-1,1),new hrefList("slide0062.htm",1,-1,1),new hrefList("sl=ide0063.htm",1,-1,1),new hrefList("slide0064.htm",1,-1,1),new hrefList("sli=de0065.htm",1,-1,1),new hrefList("slide0066.htm",1,-1,1),new hrefList("slid=e0067.htm",1,-1,1),new hrefList("slide0068.htm",1,-1,1),new hrefList("slide=0069.htm",1,-1,1),new hrefList("slide0070.htm",1,-1,1),new hrefList("slide0=071.htm",1,-1,1),new hrefList("slide0072.htm",1,-1,1),new hrefList("slide00=73.htm",1,-1,1),new hrefList("slide0074.htm",1,-1,1));function FullScrInit(){

g_allowAdvOnClick =3D GetCurSld().mAdvOnClkdocument.body.style.backgroundColor=3D"black"document.oncontextmenu=3Dparent._CM;document.onkeydown =3D _KDH;document.ondragstart=3DCanceldocument.onselectstart=3DCancelself.focus()

}function Redirect( frmId ){

var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId()if(idx>=3D0) str=3Dstr.substr(1);if( window.name !=3D frmId && ( sId !=3D str) ) {

obj =3D GetObj("Main-File")window.location.href=3Dobj.href+"#"+sIdreturn 1

}return 0

}var MHTMLPrefix =3D CalculateMHTMLPrefix();function CalculateMHTMLPrefix(){

if ( document.location.protocol =3D=3D 'mhtml:') {href=3Dnew String(document.location.href)Start=3Dhref.indexOf('!')+1End=3Dhref.lastIndexOf('/')+1if (End < Start)

return href.substring(0, Start)elsereturn href.substring(0, End)

}return '';

}function GetTags(base,tag){

if(g_supportsPPTHTML) return base.all.tags(tag);else return base.getElementsByTagName(tag);

}function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP=

Page 161: Lec10

refix+GetHrefObj( gCurSld ).mNtsHref ) }function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }function SetHasNts( fVal ){

if( gHasNts !=3D fVal ) {gHasNts=3DfValUpdNavPane()

}}function ToggleOtlText(){

gOtlTxtExp=3D!gOtlTxtExpUpdOtlPane()

}function ToggleOtlPane(){

frmset=3Ddocument.all("PPTHorizAdjust")frm=3Ddocument.all("PPTOtl")if( gOtlOpen )

frmset.cols=3D"*,100%"else

frmset.cols=3D"25%,*"gOtlOpen=3D!gOtlOpenfrm.noResize=3D!frm.noResizeUpdOtNavPane()

}function ToggleNtsPane(){

frmset=3Ddocument.all("PPTVertAdjust")frm=3Ddocument.all("PPTNts")if( gNtsOpen )

frmset.rows=3D"100%,*"else

frmset.rows=3D"*,20%"gNtsOpen=3D!gNtsOpenUpdNtsPane()

}function ClearMedia(){

if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0;}function FullScreen(){

if ( PPTSld.g_animUseRuntime )PPTSld.document.body.pause();

ClearMedia();var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF

=: FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref;

if(PPTNav.event.ctrlKey) {var w =3D (window.screen.availWidth * 1.0) / 2.0var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origWwin =3D

window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top==3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h );

if( PPTSld.g_animUseRuntime )win.document.body.PPTSldFrameset=3Dwindow;

}else{

win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" );if( PPTSld.g_animUseRuntime )

Page 162: Lec10

win.document.body.PPTSldFrameset=3Dwindow;}

}function ToggleVNarration(){

rObj=3DPPTSld.document.all("NSPlay")if( rObj && !PPTSld.g_animUseRuntime ) {

if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) )rObj.Play()

else if( rObj.playState =3D=3D 2 )rObj.Pause()

elsereturn;

}else if( PPTSld.g_animUseRuntime ){

narObj =3D PPTSld.document.all("narrationID")if( narObj )

narObj.togglePause()}

}function GetCurSldNum(){

obj=3DGetHrefObj(gCurSld)if( obj.mOrigVis =3D=3D 1 )

return obj.mSldIdxelse

return gCurSld}function GetNumSlds(){

if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 )return GetSldList().mNumVisSlds;

elsereturn GetSldList().mList.length

}function GetSldNum( href ){

for(ii=3D0; ii<GetSldList().mList.length; ii++) {if ( GetSldList().mList[ii].mSldHref =3D=3D href )

return ii+1}return 1

}function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) }function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) }function GoToNextSld(){

ii=3DgCurSld + 1if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) {

if( ii<=3DGetSldList().mList.length ) {obj=3DGetHrefObj(ii)obj.mVis=3D1GoToSldNum(ii)return

}}else {

obj=3DGetHrefObj( ii )while ( obj && ( obj.mOrigVis =3D=3D 0 ) )

obj=3DGetHrefObj(++ii)if( obj && obj.mOrigVis ) {

GoToSldNum(ii)

Page 163: Lec10

return}

}if( gSldStack.length > 1 )

PopSldList();else if( !IsFramesMode() ) {

if( gLoopCont )GoToFirst()

elseEndShow()

}}function GoToPrevSld(){

ii=3DgCurSld-1if( ii > 0 ) {

obj=3DGetHrefObj(ii)while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) )

obj=3DGetHrefObj(--ii) if( ii =3D=3D 0 ) ii=3D1

GoToSldNum(ii)}

}function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }function GoToLast(){

ii=3DGetSldList().mList.lengthif( ii !=3D gCurSld )

GoToSld( GetHrefObj(ii).mSldHref )}function GoToSldNum( num ){

if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrueobj =3D GetHrefObj( num )obj.mVis=3D1gPrevSld=3DgCurSldgCurSld =3D num;PPTSld.location.replace(MHTMLPrefix+obj.mSldHref)if( IsFramesMode() ) {

UpdNavPane(); UpdOtlPane(); UpdNtsPane()}

}function GoToSld( href ){

if( PPTSld.event ) PPTSld.event.cancelBubble=3DtrueGetHrefObj( GetSldNum(href) ).mVis=3D1PPTSld.location.replace(MHTMLPrefix+href)

}function SldUpdated( id ){

if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) returngPrevSld=3DgCurSldgCurSld=3DGetSldNum(id)if( IsFramesMode() ) {

UpdNavPane(); UpdOtlPane(); UpdNtsPane()}

}function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO=bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) }function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }function CloseWindow() {

if( HideMenu() ) return;var event =3D PPTSld.event;

Page 164: Lec10

if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D==3D32 || event.type=3D=3D"click" ) )

window.close( self );CatchNumKeys( self, event );

}function Unload() { gIsEndShow=3D0; }function SetupEndShow() {

gIsEndShow=3D1;PPTSld.document.body.scroll=3D"no";PPTSld.document.onkeypress=3DCloseWindow;PPTSld.document.onclick=3DCloseWindow;PPTSld.document.oncontextmenu=3D_CM;

}function EndShow(){

if( IsFramesMode() ) returnif( PPTSld.event ) PPTSld.event.cancelBubble=3Dtruedoc=3DPPTSld.documentdoc.open()doc.writeln('<html><body bgcolor=3Dblack onload=3Dparent.SetupEndShow()

on=unload=3Dparent.Unload()><center><p><font face=3DTahoma color=3Dwhite size==3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></body></html>')

doc.close()}function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue }function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }function hrefList( sldHref, visible, advDelay, advClk ){

this.mSldHref=3D this.mNtsHref =3D sldHrefthis.mOrigVis=3D this.mVis =3D visiblethis.mVisited=3D falsethis.mAdvDelay=3D advDelaythis.mAdvOnClk=3D advClk

}function SldList(arr,curSld,fEnd){

this.mCurSld =3D curSld;this.mList =3D new Array();var idx =3D 1;for(ii=3D0;ii<arr.length;ii++) {

this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[=ii].mAdvDelay, arr[ii].mAdvOnClk );

if( arr[ii].mOrigVis )this.mList[ii].mSldIdx =3D idx++;

}this.mNumVisSlds =3D idx-1;this.fEndShow =3D fEnd;

}function GetSldList() { return gSldStack[gSldStack.length-1] }function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]= }gSldStack =3D new Array();gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1)function ViewCustomShow(idx,fEnd){

if( !IsFullScrMode() ) return;var sldList =3D new Array();var custShow =3D custShowList[idx-1];var jj =3D 0;for( ii=3D0;ii<custShow.length;ii++ ) {

if( custShow[ii] <=3D gMainDoc.length )

Page 165: Lec10

sldList[jj++] =3D gMainDoc[custShow[ii]-1];}if (sldList.length > 0) {PushSldList(sldList,fEnd);gCurSld =3D 1;}else

if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue}function PushSldList(arr,fEnd) {

var ii =3D gSldStack.length;gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd);GoToSld( gSldStack[ii].mList[0].mSldHref );

}function PopSldList() {

if (gSldStack[gSldStack.length-1].fEndShow)EndShow()

else {gCurSld =3D gSldStack[gSldStack.length-1].mCurSld;gSldStack[gSldStack.length-1] =3D null;gSldStack.length--;var sldList =3D gSldStack[gSldStack.length-1];GoToSld( sldList.mList[gCurSld - 1].mSldHref );}

}var custShowList=3Dnew Array();function ImgBtn( oId,bId,w,action ){

var t=3Dthist.Perform =3D _IBPt.SetActive =3D _IBSetAt.SetInactive=3D _IBSetIt.SetPressed =3D _IBSetPt.SetDisabled=3D _IBSetDt.Enabled =3D _IBSetEt.ChangeIcon =3D nullt.UserAction =3D actiont.ChgState =3D _IBUIt.mObjId =3D oIdt.mBorderId=3D bIdt.mWidth =3D wt.mIsOn =3D t.mCurState =3D 0

}function _IBSetA(){

if( this.mIsOn ) {obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )obj.style.posTop=3D0

}}function _IBSetI(){

if( this.mIsOn ) {obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )obj.style.posTop=3D0

}}function _IBSetP(){

if( this.mIsOn ) {obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 )obj.style.posLeft+=3D1; obj.style.posTop+=3D1

}}

Page 166: Lec10

function _IBSetD(){

obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 )obj.style.posTop=3D0

}function _IBSetE( state ){

var t=3DthisGetObj( t.mBorderId ).style.visibility=3D"visible"if( state !=3D t.mIsOn ) {

t.mIsOn=3Dstateif( state )

t.SetInactive()else

t.SetDisabled()}

}function _IBP(){

var t=3Dthisif( t.mIsOn ) {

if( t.UserAction !=3D null )t.UserAction()

if( t.ChangeIcon ) {obj=3DGetObj(t.mObjId)if( t.ChangeIcon() )

obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth

elseobj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-

0)*t.mWidth}t.SetActive()

}}function _IBUI( clr1,clr2,nextState ){

var t=3DthisSetBorder( GetObj( t.mBorderId ),clr1,clr2 )obj=3DGetObj( t.mObjId )obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-

obj=.style.posTop

t.mCurState=3DnextStatereturn obj

}function TxtBtn( oId,oeId,action,chkState ){

var t=3Dthist.Perform =3D _TBPt.SetActive =3D _TBSetAt.SetInactive=3D _TBSetIt.SetPressed =3D _TBSetPt.SetDisabled=3D _TBSetDt.SetEnabled =3D _TBSetEt.GetState =3D chkStatet.UserAction =3D actiont.ChgState =3D _TBUIt.mObjId =3D oIdt.m_elementsId=3D oeIdt.mIsOn =3D 1

}function _TBSetA(){

Page 167: Lec10

var t=3Dthisif( t.mIsOn && !t.GetState() )

t.ChgState( gHiliteClr,gShadowClr,0,0 )}function _TBSetI(){

var t=3Dthisif( t.mIsOn && !t.GetState() )

t.ChgState( gFaceClr,gFaceClr,0,0 )}function _TBSetP(){

if( this.mIsOn )this.ChgState( gShadowClr,gHiliteClr,1,1 )

}function _TBSetD(){

this.ChgState( gFaceClr,gFaceClr,0,0 )this.mIsOn =3D 0

}function _TBSetE(){

var t=3Dthisif( !t.GetState() )

t.ChgState( gFaceClr,gFaceClr,0,0 )else

t.ChgState( gShadowClr,gHiliteClr,1,1 )t.mIsOn =3D 1

}function _TBP(){

var t=3Dthisif( t.mIsOn ) {

if( t.UserAction !=3D null )t.UserAction()

if( !t.GetState ) return

if( t.GetState() )t.SetPressed()

elset.SetActive()

}}function _TBUI( clr1,clr2,lOffset,tOffset ){

SetBorder( GetObj( this.mObjId ),clr1,clr2 )Offset( GetObj( this.m_elementsId ),lOffset,tOffset )

}function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle=ft }function SetBorder( obj, upperLeft, lowerRight ){

s=3Dobj.style;s.borderStyle =3D "solid"s.borderWidth =3D 1s.borderLeftColor =3D s.borderTopColor =3D upperLefts.borderBottomColor=3D s.borderRightColor =3D lowerRight

}function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() }function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() }function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() }function BtnOnUp(){

Page 168: Lec10

b=3DGetBtnObj()if( b !=3D null )

b.Perform()else

Upd()}function GetNtsState(){ return parent.gNtsOpen }function GetOtlState(){ return parent.gOtlOpen }function GetOtlTxtState(){ return parent.gOtlTxtExp }function NtsBtnSetFlag( fVal ){

s=3Ddocument.all.item( this.m_flagId ).styles.display=3D"none"if( fVal )

s.display=3D""else

s.display=3D"none"}function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=etActive() }function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=etInactive() }var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"=THREEDFACE"var gBtnArr =3D new Array()gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan=e,GetOtlState )gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt=lPane,GetOtlState )gBtnArr["nb_nts"] =3D new TxtBtn( "nb_nts","nb_ntsElem",parent.ToggleNtsPan=e,GetNtsState )gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToP=revSld )gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToN=extSld )gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent=.FullScreen )gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa=rent.FullScreen,null )gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border;gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border;gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent=.FullScreen,null )gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border;gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border;gBtnArr["nb_voice"] =3D new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.=ToggleVNarration )gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent=.ToggleOtlText )gBtnArr["nb_nts"].m_flagId=3D "notes_flag"gBtnArr["nb_nts"].SetFlag =3D NtsBtnSetFlaggBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtStatevar sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr=row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval"function ShowMenu(){

BuildMenu();var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y=

=3DPPTSld.event.clientY+doc.scrollTopm =3D PPTSld.document.all.item("ctxtmenu")m.style.pixelLeft=3Dxif( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )

m.style.pixelLeft=3Dx-m.scrollWidthm.style.pixelTop=3Dy

Page 169: Lec10

if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )m.style.pixelTop=3Dy-m.scrollHeight

m.style.display=3D""}function _CM(){

if( !parent.IsFullScrMode() ) return;if(!PPTSld.event.ctrlKey) {

ShowMenu()return false

} elseHideMenu()

}function BuildMenu(){

if( PPTSld.document.all.item("ctxtmenu") ) returnvar mObj=3DCreateItem( PPTSld.document.body )mObj.id=3D"ctxtmenu"mObj.style.visibility=3D"hidden"var s=3DmObj.styles.position=3D"absolute"s.cursor=3D"default"s.width=3D"120px"SetCMBorder(mObj,"menu","black")var iObj=3DCreateItem( mObj )SetCMBorder( iObj, "threedhighlight","threedshadow" )iObj.style.padding=3D2CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )CreateSeparator( iObj )CreateMenuItem( iObj,sEnd,M_End,M_True )mObj.style.visibility=3D"visible"

}function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa=lue=3Dfalse }function Highlight() { ChangeClr("activecaption","threedhighlight") }function Deselect() { ChangeClr("threedface","menutext") }function Perform(){

e=3DPPTSld.event.srcElementif( e.type=3D=3D"menuitem" && e.IsActive() )

e.Action()else

PPTSld.event.cancelBubble=3Dtrue}function ChangeClr( bg,clr ){

e=3DPPTSld.event.srcElementif( e.type=3D=3D"menuitem" && e.IsActive() ) {

e.style.backgroundColor=3Dbge.style.color=3Dclr

}}function M_HasPrevSld() { return( parent.HasPrevSld() ) }function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }function M_GoPrevSld() { if( gIsEndShow ) { history.back(); PPTSld.event.ca=ncelBubble=3Dtrue; } else GoToPrevSld() }function M_True() { return true }function M_End() { window.close( self ) }function CreateMenuItem( node,text,action,eval ){

var e=3DCreateItem( node )e.type=3D"menuitem"e.Action=3Daction

Page 170: Lec10

e.IsActive=3Devale.innerHTML=3Dtextif( !e.IsActive() )

e.style.color=3D"threedshadow"e.onclick=3DPerforme.onmouseover=3DHighlighte.onmouseout=3DDeselects=3De.style;s.fontFamily=3DsFonts.fontSize=3D"9pt"s.paddingLeft=3D2

}function CreateSeparator( node ){

var sObj=3DCreateItem( node )SetCMBorder(sObj,"menu","menu")var s=3DsObj.styles.borderTopColor=3D"threedshadow"s.borderBottomColor=3D"threedhighlight"s.height=3D1s.fontSize=3D"0px"

}function CreateItem( node ){

var elem=3DPPTSld.document.createElement("DIV")node.insertBefore( elem )return elem

}function SetCMBorder( o,ltClr,rbClr ){

var s=3Do.styles.backgroundColor=3D"menu"s.borderStyle=3D"solid"s.borderWidth=3D1s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr

}

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/fullscreen.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html>

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\fullscreen.htm"id=3D"webarch_temp_base_tag"><![endif]><script src=3Dscript.js></script><script><!--var SCREEN_MODE =3D "FullScreen";function Load() {

str=3Ddocument.location.hash,idx=3Dstr.indexOf('#')if(idx>=3D0) str=3Dstr.substr(1);if(!str) str =3D "slide0056.htm";PPTSld.location.replace(MHTMLPrefix+str);

}function Unload() {

if ( document.body.PPTSldFrameset !=3D null )document.body.PPTSldFrameset.frames[1].document.body.resume();

Page 171: Lec10

}//--></script></head>

<frameset rows=3D"*" frameborder=3D0 onload=3D"Load()" onunload=3D"Unload()="> <frame name=3DPPTSld></frameset>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/notes_flag.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlhCgAKAPcAAAAAAIAAAACAAICAAAAAgIAAgACAgICAgMwENMTExPz8/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMDAwP8AAAD/AP//AAAA//8A/wD//////ywAAAAACgAKAEAIKgDx4UNAsKDAgQUTJiCogGHDhBAfFlRAMSFCiAguTozYUGJEiAk0EhQYEAA7

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/buttons.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlhWAESAPf4AAAAAIAAAACAAICAAAAAgIAAgACAgICAgAQEBISEBASEBISEhAQEhMTExAQE/KTM9Pz8/ERERPz8BAT8/KSkpGRkhMTcxCRkxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMDAwP8AAAD/AP//AAAA//8A/wD//////yH5BAEAAPgALAAAAABYARIAQAj/APEJHEiwoMGDCBMqXMiwocOHECNKnEixosWLGCEiQKCRo8YDIEHig2DxAD4LKD1avDDhgUuVGUOGbHBR5QGYFBG4fHAB58EKECJEwCfUYAWPFGAygLCRKQIIUKM6WAohKUGgCikcFWh1INWoYKVS7SrQ41GbIhGYLAuVQVOoC+IyXUuUAkG1HE3KFDhAwkgJc5/qDZmxsOHDiBMrXsy4sePDGyP7lChT5MULmDPnlDw5YmW6FTNrfgi0aNGEZPEtbfo2bNTUpYeeRph69dPWrqvCNFuBIGG1A59CYPAVQtwFcw0OxWdTIOiBCQAjaAB17fOFII8voGmRc+eOkilm/z9OvTtnjN4hYk1YoT3H2rnBOphPAB9skgq32lcaX/5YnJVt9BloAar12UEIRGCZdQghMABI1Tn32IQUVthYexhmqGGGMBHAgIfEhSiiiATAtOGJGnYI4ogsEldicAYOGNJGZaml3Y0L3NTZUBz1xlB0PUoUI0jlVWRSVN89xBKSGB1YU1TMoRfVBElehR9HQs1GEHxQ3RZZbveZthxt/LEmXHyp5XWABSCpaRJwbM13gAACPHVccgJFgF+NEhqUAEkQSCfcddhVhh5dVTaEAEsTUNlkZUWKN9BNGDE6QU8OrSdbllzpxyVTTrU21Uj3scfhp7nNpyoDaTIEJ3P9If8J2kbLNYegg9JRBwGhFvbq66+ZUiDssMQWK2yHxiZLrInKNotss8l+B5yBrr5p2UIJvortANoC6+234IbLla/elRtZjeamh5CC3Sb0YLvixivvYkDFGlZqBNh7r4n6goVvv6/ZlCicN+kL71ALTnpQdCIZp7CihkLA3UQmoWRBogyxtBPGCTnZncVR1rSTo5nuydC/Eo8kUH+lOoTyyvjoCuZu+PjYIKLD

Page 172: Lec10

rZybtrM1d10C0QXKEVz48GrQkEeWdFJKlbb0UmEeV0SzyC6RvNB646LWIVjUNeC1zAFb+RDKXksM9r531bwmpQW9+hQDDsx5pqwDRWBXcFES2hc+gEn/wJGdEEWdE6LoWcoxQweaTNmkhydkKaYMYY2Qp1unbLl/pPKbn3v7EZRvrKvqlja2ONvrtoIw9tn2g32/tQBlhtYkU+MNikZ7QYlPDPuMldpOmuJXnVo5VF3HjI+q89mteX5IDd/fVFClma5kiE4f2XUJhlz09gj2NbTDRifkmu7zXjR++RVJ/lPznuvrQH2iD6S+UewP9Dnon6d2NLwN8n90BB6hC68cFMCHoe+ACASP9c4DowUyEF0OPFcDI0ij/VXPaAKCUfhS95AKGoQ7IBRICI1HwhGaUIQoLGEKT6jCFrLwhSuMoQtlCMMZ2rCGOKShDm+4wxzy8Ic+DGIPB4cIRCKGMCAAOy==

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/frame.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html>

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Searching</title><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\frame.htm"id=3D"webarch_temp_base_tag"><![endif]><![if !ppt]><script src=3Dscript.js></script><script><!--var gNavLoaded =3D gOtlNavLoaded =3D gOtlLoaded =3D false;function Load(){

str=3Ddocument.location.hash,idx=3Dstr.indexOf('#')if(idx>=3D0) str=3Dstr.substr(1);if(str) PPTSld.location.replace(str);

}//--></script><!--[if gte IE 5]><object id=3DMSOANIM classid=3D"CLSID:A4639D2F-774E-11D3-A490-00C04F6843FB" codebase=3D"http://download.microsoft.com/download/vizact2000/Install/10/W=IN98Me/EN-US/msorun.cab#version=3D10,0,0,1"></object><![endif]--><![endif]></head>

<frameset rows=3D"*,25" border=3D0> <frameset cols=3D"25%,*" id=3DPPTHorizAdjust framespacing=3D2> <frameset rows=3D"100%,*"> <frame src=3Doutline.htm title=3D"Outline" name=3DPPTOtl> </frameset> <frameset rows=3D"*,40" id=3DPPTVertAdjust framespacing=3D2 frameborder==3D1 onload=3D"Load()"> <frame src=3Dslide0056.htm title=3D"Slide" name=3DPPTSld> <frame src=3Dslide0056.htm title=3D"Notes" name=3DPPTNts> </frameset> </frameset> <frameset cols=3D"25%,*" framespacing=3D1> <frame src=3Doutline.htm title=3D"OutlineNavigation Bar" name=3DPPTOtlNav scrolling=3Dno noresize> <frame src=3Doutline.htm title=3D"SlideNavigation Bar" name=3DPPTNav scrolling=3Dno noresize> </frameset></frameset></html>

Page 173: Lec10

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/outline.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html>

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec9.5.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\1E8269F5\lec9.5_files\outline.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DRobots content=3DNoIndex><script src=3Dscript.js></script><script><!--if( !(IsWin("PPTOtl")||IsWin("PPTNav")||IsWin("PPTOtlNav")) ){

obj =3D GetObj("Main-File")parent.location.href=3Dobj.href

}var gOtlHiliteClr=3D"#ffffff",gOtlNormalClr=3D"#000000",gOtlActiveClr=3D"#f=fff00",gSelected=3D"",gTxtState=3Dfalse,gChildEntryTable=3Dnew Array()function Load(){

if( IsWin("PPTOtl" ) ){ LoadOtl(); parent.gOtlLoaded=3Dtrue; return }if( g_supportsPPTHTML ) {

if( IsWin("PPTNav" ) ){ LoadNav("NavObj",UpdNav); parent.gNavLoaded=3Dtru=e; return }

if( IsWin("PPTOtlNav" ) ){ LoadNav("OtlNavObj",UpdOtlNav); parent.gOtlNav=Loaded=3Dtrue; return }

}}function Upd(){ if( IsWin("PPTNav") ) LoadNav("NavObj",UpdNav) }function LoadNav( oId,UpdFunc ){

document.ondragstart=3DCancelDragdocument.onselectstart=3DCancelDragdocument.body.style.margin=3D2UpdFunc()obj=3Ddocument.all.item(oId)obj.style.display=3D"block"obj.style.visibility=3D"visible"document.bgColor=3D"threedface"if( parent.frames["PPTNts"] )

notesBtn.style.display =3D ""if( parent.gHasNarration )

nb_voiceBorder.style.display =3D ""}function LoadOtl(){

var otl=3DGetObj("OtlObj")otl.style.display=3D"block"otl.style.visibility=3D"visible"if( gOtlActiveClr =3D=3D "" ) gOtlActiveClr=3Ddocument.linkColorif( gOtlHiliteClr =3D=3D "" ) gOtlHiliteClr=3Ddocument.fgColorif( gOtlNormalClr =3D=3D "" )

gOtlNormalClr=3Ddocument.bgColor

Page 174: Lec10

elsedocument.bgColor=3DgOtlNormalClr

InitArray()if( ObjExists( parent.gCurSld ) ) {

ChangeState( parent.gCurSld,gOtlNormalClr,gOtlHiliteClr )gSelected=3Dparent.gCurSld

}else gSelected =3D -1UpdOtl()

}function UpdOtl(){ UpdIdx(parent.gCurSld) }function UpdIdx( idx ){

if( gSelected !=3D idx ) {if( gSelected > 0 )

ChangeState( gSelected,gOtlHiliteClr,gOtlNormalClr )if( ObjExists( idx ) ) {

gSelected =3D idxChangeState( gSelected,gOtlNormalClr,gOtlHiliteClr )

}else gSelected =3D -1

}if( gTxtState !=3D parent.gOtlTxtExp ) {

state =3D "block"if( !parent.gOtlTxtExp )

state=3D"none"for(ii=3D0; ii<gChildEntryTable.length; ii++) {

obj=3DgChildEntryTable[ii];if( obj.id =3D=3D null ) continue;if( obj.id.indexOf("PPTC") >=3D 0 )

obj.style.display=3Dstate;}gTxtState=3Dparent.gOtlTxtExpif( ObjExists( gSelected ) )

ChangeState( gSelected,gOtlNormalClr,gOtlHiliteClr )}

}function InitArray(){

count=3D0var list=3DGetTags(document,"DIV");for(ii=3D0; ii<list.length; ii++) {

obj=3Dlist.item(ii)if( obj.id =3D=3D null ) continueif( obj.id.indexOf("PPTC") >=3D 0 )

gChildEntryTable[count++]=3Dobj}

}function ChangeState( idx,fgColor,bgColor ){

obj=3DGetObj("PPTL"+idx)obj.style.color=3DfgColorobj=3DGetObj("PPTP"+idx)obj.style.backgroundColor=3DbgColor

}function ChgClr( o,clr ){ if( o.id !=3D "PPTL"+gSelected ) o.style.color=3D=clr }function Over( src ){ ChgClr(GetLink(src),gOtlActiveClr) }function Out( src ){ ChgClr(GetLink(src),gOtlHiliteClr) }function Follow(src){ window.location.href =3D GetLink(src).href; }function ObjExists( ii ) { obj=3DGetObj("PPTP"+ii ); return( obj ) }function GoToSld( href ){ UpdIdx(parent.GetSldNum(href)); parent.GoToSld( h=ref ) }function CancelDrag(){ window.event.cancelBubble=3Dtrue;window.event.return=

Page 175: Lec10

Value=3Dfalse}function GetLink(src){ if(src.tagName=3D=3D"A") return src else return GetTags(src,"A").item(0)}function UpdNav(){

txt =3D "<center>";if( parent.GetHrefObj( parent.gCurSld ).mOrigVis =3D=3D 1 )

txt +=3D "Slide " + parent.GetCurSldNum() + " of " + parent.GetNumSlds()

elsetxt +=3D "Hidden Slide"

txt +=3D "</center>";nav_text.innerHTML =3D txt;if( !parent.HasPrevSld() )

gBtnArr["nb_prev"].Enabled(0)else

gBtnArr["nb_prev"].Enabled(1)if( !parent.HasNextSld() )

gBtnArr["nb_next"].Enabled(0)else

gBtnArr["nb_next"].Enabled(1)gBtnArr["nb_nts"].SetEnabled()gBtnArr["nb_nts"].SetFlag( parent.gHasNts )gBtnArr["nb_sldshw"].Enabled(1)gBtnArr["nb_voice"].Enabled(1)

}function UpdOtlNav(){

gBtnArr["nb_otl"].SetEnabled();if( parent.gOtlOpen )

gBtnArr["nb_otlTxt"].Enabled( true );else

document.all.item("nb_otlTxtBorder").style.visibility =3D "hidden";}

//--></script><style><!--.PTxt

{position:relative;width:100%;margin-top:5px;padding-left:2px;font-weight:bold;}

.CTxt{position:relative;width:100%;margin-top:5px;}

a{color:white;text-decoration:none;}

ul{color:white;margin-bottom:0px;margin-left:20px;}

.sldNum{margin-top:5px;color:white;}

.button{position:absolute;width:32px;height:20px;

Page 176: Lec10

border-style:solid;border-width:1px;border-color:threedface;}

--></style></head>

<body onload=3D"Load()" style=3D'margin:2px'>

<div id=3DNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=)"onkeypress=3D"_KPH()" style=3D'display:none;visibility:hidden'><table id=3D"notesBtn" style=3D'position:absolute;display:none;width:70px' =align=3Dleft cellpadding=3D0 cellspacing=3D0> <td nowrap> <div id=3D"nb_ntsElem" align=3Dcenter style=3D'position:relative;padding:3=px; font-family:Arial;color:buttontext;font-size:9pt'><img src=3D"notes_flag.g=if" border=3D0 id=3D"notes_flag" style=3D'display:none'><spanstyle=3D'mso-spacerun:yes'>&nbsp; </span>Notes</div> <div title=3D"Show/HideNotes" id=3D"nb_nts" style=3D'position:absolute;top:0%; left:0%;width:100%;height:100%'></div> </td></table>

<table style=3D'position:relative;width:70px' align=3Dright cellpadding=3D0= cellspacing=3D0> <td nowrap> <div id=3D"nb_sldshwText" title=3D"FullScreen Slide Show" align=3Dcenter style=3D'position:relative;margin-left:20=px;padding:3px; font-family:Arial;color:buttontext;font-size:9pt;cursor:default'>SlideShow</div> <div id=3D"nb_sldshwBorder" title=3D"Full Screen Slide Show" style=3D'posi=tion:absolute;top:0%;left:0%;width:100%;height:20px'> <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img src=3D"buttons.gif" id=3D"nb_sldshw" style=3D'position:relative;left:-254p=x'></div> </div> </td> <td> <div id=3D"nb_voiceBorder" style=3D'display:none;position:absolute;top:0;l=eft:-40px; width:20px;height:20px'> <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img src=3D"buttons.gif" id=3D"nb_voice" title=3D"Pause/Play Narration" style==3D'position: relative;left:-290px'></div> </div> </td></table>

<table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci=ng=3D0> <td nowrap> <div id=3D"nb_prevBorder" class=3Dbutton style=3D'left:-30px'> <div style=3D'position:absolute;clip:rect(0px, 30px, 18px, 0px)'><img src=3D"buttons.gif" id=3D"nb_prev" title=3D"Previous Slide" style=3D'posit=ion:relative; left:0px'></div>

Page 177: Lec10

</div> <span id=3D"nav_text" style=3D'position:relative;top:3px;width:100px;font-=family: Arial;color:buttontext;font-size:9pt'></span> <div id=3D"nb_nextBorder" class=3Dbutton> <div style=3D'position:absolute;clip:rect(0px, 30px, 18px, 0px)'><img src=3D"buttons.gif" id=3D"nb_next" title=3D"Next Slide" style=3D'position:=relative; left:-90px'></div> </div> </td></table></div>

<div id=3DOtlNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=)"onkeypress=3D"_KPH()" style=3D'display:none;visibility:hidden'>

<table style=3D'position:relative;width:70px' align=3Dleft cellpadding=3D0 =cellspacing=3D0> <td nowrap><div title=3D"Show/HideOutline" id=3D"nb_otl" style=3D'position:absolute;top:0%;left:0%;width:100%;height:100%;cursor:de=fault'> <div id=3D"nb_otlElem" align=3Dcenter style=3D'position:relative;padding:3=px;font-family:Arial; color:buttontext;font-size:9pt'>Outline</div></div> </td></table>

<table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci=ng=3D0> <td> <div style=3D'position:absolute;left:-18px;width:24px;height:20px;border-s=tyle: solid;border-width:1px;border-color:threedface' id=3D"nb_otlTxtBorder"> <div style=3D'position:absolute;clip:rect(0px, 22px, 18px, 0px)'><img src=3Dbuttons.gif id=3D"nb_otlTxt" title=3D"Expand/Collapse Outline" style=3D'position:relative;left:-157px'></div> </div> </td></table>

</div>

<div id=3DOtlObj style=3D'display:none;visibility:hidden;'>

<table width=3D"100%" style=3D'font-family:Arial;font-size:9pt'> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>1</font></div> </td> <td width=3D"100%"> <div id=3DPPTP1 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0056.htm');" id=3DPPTL1>Quick Sort</a></=font></div> <div id=3DPPTC1 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Characteristics</li> <ul>

Page 178: Lec10

<li>sorts almost in &quot;place,&quot; i.e., does not require an additi=onal array</li> <li>very practical, average sort performance O(n log n) (with small constant factors), but worst case O(n<sup>2</sup>)</li> </ul> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>2</font></div> </td> <td> <div id=3DPPTP2 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0057.htm');" id=3DPPTL2>Quick Sort &#821=1; the Principle</a></font></div> <div id=3DPPTC2 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>To understand quick-sort, let&#8217;s look at a high-level descripti=on of the algorithm</li> <li>A divide-and-conquer algorithm</li> <ul> <li>Divide: partition array into 2 subarrays such that elements in the lower part &lt;=3D elements in the higher part</li> <li>Conquer: recursively sort the 2 subarrays</li> <li>Combine: trivial since sorting is done in place</li> </ul> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>3</font></div> </td> <td> <div id=3DPPTP3 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0058.htm');" id=3DPPTL3>Partitioning</a>=</font></div> <div id=3DPPTC3 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Linear time partitioning procedure</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>4</font></div> </td> <td> <div id=3DPPTP4 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0059.htm');" id=3DPPTL4>Quick Sort Algor=ithm</a></font></div>

Page 179: Lec10

<div id=3DPPTC4 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Initial call Quicksort(A, 1, length[A])</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>5</font></div> </td> <td> <div id=3DPPTP5 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0060.htm');" id=3DPPTL5>Analysis of Quic=ksort</a></font></div> <div id=3DPPTC5 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Assume that all input elements are distinct</li> <li>The running time depends on the distribution of splits</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>6</font></div> </td> <td> <div id=3DPPTP6 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0061.htm');" id=3DPPTL6><span style=3D'mso-spacerun:yes'>&nbsp;</span>Best Case</a></font></div> <div id=3DPPTC6 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>If we are lucky, Partition splits the array evenly</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>7</font></div> </td> <td> <div id=3DPPTP7 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0062.htm');" id=3DPPTL7>Worst Case</a></=font></div> <div id=3DPPTC7 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>What is the worst case?</li> <li>One side of the parition has only one element</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop>

Page 180: Lec10

<div class=3DsldNum><font size=3D2>8</font></div> </td> <td> <div id=3DPPTP8 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0063.htm');" id=3DPPTL8>Worst Case (2)</=a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>9</font></div> </td> <td> <div id=3DPPTP9 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0064.htm');" id=3DPPTL9>Worst Case (3)</=a></font></div> <div id=3DPPTC9 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>When does the worst case appear?</li> <ul> <li>input is sorted</li> <li>input reverse sorted</li> </ul> <li>Same recurrence for the worst case of insertion sort</li> <li>However, sorted input yields the best case for insertion sort!</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>10</font></div> </td> <td> <div id=3DPPTP10 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0065.htm');" id=3DPPTL10>Analysis of Qui=cksort</a></font></div> <div id=3DPPTC10 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Suppose the split is 1/10 : 9/10</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>11</font></div> </td> <td> <div id=3DPPTP11 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0066.htm');" id=3DPPTL11>An Average Case Scenario</a></font></div> <div id=3DPPTC11 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Suppose, we alternate lucky and unlucky cases to get an average beha=vior</li> </ul> </font></div>

Page 181: Lec10

</td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>12</font></div> </td> <td> <div id=3DPPTP12 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0067.htm');" id=3DPPTL12>An Average Case Scenario (2)</a></font></div> <div id=3DPPTC12 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>How can we make sure that we are usually lucky?</li> <ul> <li>Partition around the &#8221;middle&#8221; (n/2th) element?</li> <li>Partition around a random element (works well in practice)</li> </ul> <li>Randomized algorithm</li> <ul> <li>running time is independent of the input ordering</li> <li>no specific input triggers worst-case behavior</li> <li>the worst-case is only determined by the output of the random-number generator</li> <br> <br> </ul> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>13</font></div> </td> <td> <div id=3DPPTP13 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0068.htm');" id=3DPPTL13>Randomized Quic=ksort</a></font></div> <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Assume all elements are distinct</li> <li>Partition around a random element</li> <li>Consequently, all splits (1:n-1, 2:n-2, ..., n-1:1) are equally like=ly with probability 1/n</li> <br> <br> <li>Randomization is a general tool to improve algorithms with bad worst-case but good average-case complexity</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>14</font></div> </td> <td>

Page 182: Lec10

<div id=3DPPTP14 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0069.htm');" id=3DPPTL14>Randomized Quic=ksort (2)</a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>15</font></div> </td> <td> <div id=3DPPTP15 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0070.htm');" id=3DPPTL15>Randomized Quic=ksort Analysis</a></font></div> <div id=3DPPTC15 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Let T(n) be the expected number of comparisons needed to quicksort n numbers.</li> <li>Since each split occurs with probability 1/n, T(n) has value T(i-1)+T(n-i)+n-1 with probability 1/n.</li> <li>Hence,</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>16</font></div> </td> <td> <div id=3DPPTP16 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0071.htm');" id=3DPPTL16>Randomized Quic=ksort Analysis(2)</a></font></div> <div id=3DPPTC16 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>We have seen this recurrence before.</li> <li>It is the recurrence for the expected number of comparisons required= to insert a randomly chosen permutation of n elements.</li> <li>We proved that T(n) =3D O(nlog<sub>2</sub> n).</li> <li>Hence expected number of comparisons required by randomized quicksor=t is O(nlog<sub>2</sub> n)</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>17</font></div> </td> <td> <div id=3DPPTP17 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0072.htm');" id=3DPPTL17>Randomized Quic=ksort running times</a></font></div>

Page 183: Lec10

<div id=3DPPTC17 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Worst case running time of quicksort is O(n<sup>2</sup>)</li> <li>Best case running time of quicksort is O(nlog<sub>2</sub> n)</li> <li>Expected running time of quicksort is O(nlog<sub>2</sub> n)</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>18</font></div> </td> <td> <div id=3DPPTP18 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0073.htm');" id=3DPPTL18>What does expec=ted running time mean?</a></font></div> <div id=3DPPTC18 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>The running time of quicksort does not depend on the input. It depen=ds on the random numbers provided by the generator.</li> <li>Thus for the same input the program might take 3sec today and 5sec tomorrow.</li> <li>The average time taken over many different runs of the program would give us the expected time.</li> <li>Same as saying that we are taking average over all possible random number sequences provided by the generator.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>19</font></div> </td> <td> <div id=3DPPTP19 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0074.htm');" id=3DPPTL19>Analysis of ins=ertion in BST</a></font></div> <div id=3DPPTC19 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>When creating a binary search tree on n elements the running time do=es depend on the order of the elements.</li> <li>Our algorithm for insertion did not employ an random bits.</li> <li>Given a specific input order the algorithm takes the same time each =day.</li> <li>However, the time taken is different for different input orders.</li> <li>The average time taken over all possible input orders is O(nlog<sub>=2</sub> n).</li> </ul> </font></div> </td> </tr></table>

Page 184: Lec10

</div>

<div style=3D'display:none'><a href=3D"../lec9.5.htm"></a><a href=3Dmaster1=2.htm></a><ahref=3Dmaster12.xml></a><a href=3Dpreview.wmf></a><a href=3Dmaster13.htm></=a><ahref=3Dmaster13.xml></a><a href=3Dpres.xml></a><a href=3Deditdata.mso></a><ahref=3Dslide0056.htm></a><a href=3D"master12_image001.gif"></a><ahref=3Dslide0057.htm></a><a href=3Dslide0058.htm></a><ahref=3D"slide0058_image002.gif"></a><a href=3D"slide0058_image003.gif"></a>=<ahref=3D"slide0058_image004.gif"></a><a href=3D"slide0058_image005.gif"></a>=<ahref=3D"slide0058_image006.gif"></a><a href=3D"slide0058_image007.gif"></a>=<ahref=3D"slide0058_image008.gif"></a><a href=3Dslide0059.htm></a><ahref=3Dslide0060.htm></a><a href=3Dslide0061.htm></a><ahref=3D"slide0061_image009.png"></a><a href=3D"slide0061_image010.gif"></a>=<ahref=3D"slide0061_image011.wmz"></a><a href=3D"slide0061_image012.gif"></a>=<ahref=3Dslide0062.htm></a><a href=3D"slide0062_image013.wmz"></a><ahref=3D"slide0062_image014.gif"></a><a href=3Dslide0063.htm></a><ahref=3D"slide0063_image015.png"></a><a href=3D"slide0063_image016.gif"></a>=<ahref=3Dslide0064.htm></a><a href=3Dslide0065.htm></a><ahref=3D"slide0065_image017.wmz"></a><a href=3D"slide0065_image018.gif"></a>=<ahref=3D"slide0065_image019.png"></a><a href=3D"slide0065_image020.gif"></a>=<ahref=3Dslide0066.htm></a><a href=3D"slide0066_image021.gif"></a><ahref=3D"slide0066_image022.wmz"></a><a href=3D"slide0066_image023.gif"></a>=<ahref=3D"slide0066_image024.gif"></a><a href=3D"slide0066_image025.wmz"></a>=<ahref=3D"slide0066_image026.gif"></a><a href=3D"slide0066_image027.gif"></a>=<ahref=3D"slide0066_image028.gif"></a><a href=3D"slide0066_image029.wmz"></a>=<ahref=3D"slide0066_image030.gif"></a><a href=3D"slide0066_image031.gif"></a>=<ahref=3Dslide0067.htm></a><a href=3Dslide0068.htm></a><a href=3Dslide0069.ht=m></a><ahref=3Dslide0070.htm></a><a href=3D"slide0070_image032.png"></a><ahref=3D"slide0070_image033.jpg"></a><a href=3Dslide0071.htm></a><ahref=3Dslide0072.htm></a><a href=3Dslide0073.htm></a><a href=3Dslide0074.ht=m></a><ahref=3Dmaster01.htm></a><a href=3D"master12_stylesheet.css"></a><a href=3Ds=cript.js></a><ahref=3Dfullscreen.htm></a><a href=3D"notes_flag.gif"></a><a href=3Dbuttons.=gif></a><ahref=3Dframe.htm></a><a href=3Doutline.htm></a></div>

</body>

</html>

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/oledata.msoContent-Transfer-Encoding: base64Content-Type: application/x-mso

Page 185: Lec10

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

Page 186: Lec10

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

Page 187: Lec10

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

Page 188: Lec10

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

Page 189: Lec10

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

Page 190: Lec10

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

Page 191: Lec10

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

Page 192: Lec10

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

Page 193: Lec10

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

Page 194: Lec10

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

Page 195: Lec10

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

Page 196: Lec10

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

Page 197: Lec10

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

Page 198: Lec10

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

Page 199: Lec10

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

Page 200: Lec10

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

Page 201: Lec10

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

Page 202: Lec10

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

Page 203: Lec10

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

Page 204: Lec10

Cu8/m9HXNrM9d6jwZrTwvFn0nkhntMbnfGZmlv+FuawpryFle+ZQ4cxlofA9L+F19vBZ4yg/H9C4nM/MzPK7sC0Mz1P43We5WzHMZPUV5rSo8FmBbJ+ffMn5zMwsf4u+D9TtXu5WjDNZetHzaH62uOE5n5mZ5WfRbOb3FuRuxTyTpRZ9x4bzWcNzPjMzy8/CcxLOZrlbsc9kqUXzma/BNzznMzOz/Gtas1n4ua93ZjdnsikL3/3i5wMal/OZmVl+FWaz8D1nYXuXLnxOIMj2eSzminUeC7/XItwHw/0z9XdchH2FcJ+s7/deWHzOZ2Zm+VP0O5ymle/xsWwU5q+w35D6fRpBuD/63WeNz/nMzMzMMlV4j1l4zsz3mjUt5zMzMzOz3Mr5zMzMzCy3cj4zMzMzy62cz8zMzMxyK+czMzMzs9zK+czMzMwst3I+MzMzM8utnM/MzHKzTK2fU7+7NhPny8yaPx+zZma5V6ZnKmc0s/zKx6uZWW7VXLOUM5pZ/uRj1cwsd2ruGcoZzSw/8nFqZpYbtdTs5Ixmlvv5GDUzy34tPTM5o5nldj4+zcyyW7ZmJWc0s9zNx6aZWfbK9oyU7dM3s/h8XJqZZadcmY1y5XyY2X/5mDQza/lybSbKtfNjVuz5eDQza9lydRbK1fNlVoz5WDQza7lyfQbK9fNnViz5ODQza5nyZfbJl/NpVsj5GDQza/7ybebJt/NrVmj5+DMza97yddbJ1/NtVgj52DMza77yfcbJ9/Nvlq/5uDMza54KZbYplMthlk/5mDMzy3yFNtMU2uUxy/V8vJmZZb5CXLc6o5m1XD7WzMwyWyGvV53RzFomH2dmZpmrGNapzmhmzZ+PMTOzzFRM61NnNLPmzceXmVnTK8Z1qTOaWfPlY8vMrGkV85xSzJfdrDnzcWVmNuM5n3gdmDVHPqbMzGYs55L/8rowy2w+nszMGp/zyNR5fZhlLh9PZmaNz3VnfF4nZo0vbn1S3zrGx5iZmVnjGzNmTEkk2+fF8qO45+MbM7OZmeV7kyZNKhk1alTJxIkTXcflcOPGjSsZPXp0Xt5GqfNZMc5qkydPLhk7dmxJdXV1QvhzeNxl+3zleukzWtyfnc/MrNCK5rKoCRMmuI7LwcJcVlZWlriNwrY92+dnRqtvRiv0WS3MZlVVVenjREnr1q3dJ5pOU11p9ZTt82lmlsnGjx+f2D6E7YTzWW4Wbp8gPG+W7/NZ1PTmtEKb1cI+0IgRI/59viz8N5rXwmMvzG/ZPo+5mvOZmRVzYZvvfJbbhdumUOazUENmtEKY1cLsFWazuJ9Hz4mG50ezcd7yJeczMyvWnM9yv0Kbz0KNmdHydVYLz5XV9z6z6DnR8F60lj5f+ZSzmZkVa85nuV9D5rMZmXfyWUte/81RmMtC4X0G2T4vuZzzmZkVa85nuZ/zWeHNauH5M99/1rCcz8ysGHM+y/2czwpvPgvvP/O1zYblbGZmxZjzWe5XiO8/CxXbTBYV5rLwGc5sn498yfnMzIox57PcrxDns2KbyaLC96WE58787rPG5XxmZsWW81nuV2jzWbHNZFHRd9X6WGt8zmZmVmw5n+V+hTSfFdtMFhXNZn7f2YzlfGZmxZbzWe5XKPNZsc1kqYXfI+Bs1rScz8ysmHI+y/0KYT4rxpksalqzWfi5j72G5WxmZsVUNJ/5PZm5WzSf5etn/opxJosKs1n4nrPwOEsXPicQZPs85kvOZ2ZWDIX99rDtiIq+j6m+30djLV+4LcJtEv2uxpCvk+VP0e9wmlZ+B5qZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZlZZisp0LJ9vZqZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmeVi48aNKykrKysJVVVVlYwfP74k2+fJzMzMrFgLs1h1dXViJgvCfBaaMGGCM5qZmZlZFho7duwUc9ikSZMS89mIESOcz8zMzMyyUJjH0n8Wnk9zPjMzMzPLncJ8lv68mpmZmZllp8mTJ5e0bt26JPw32+fFzMzMzP75Z/To0X5+08zMzCxHCnPZqFGjnM3MzMzMcqCJEyeWhOfOsn0+zMzMzKxuNgufCUj/edxnO83MzMyseQuzWfjdAeG1zfCdtJHw+c3wb9k+f2ZmZmYtWXh+KsxB4bmrqPDn8DrjjMxGjf3MZTj98FnNuMLvEZjR4zUzMzPLx8JcFs1jqZ+XDHNZ+G7Y6Dv8GzIbNfd7x8IcF47fOc3MzMwKtfAZyen9DqVofgvPY01rLgq/27wlPnMZzkOYJX3N08zMzAqtaO5qyHfARq971jfHhdks7n39zVU4v+G9as5oZmZmVihF380fasjrkeF1z6jwnv3UfwszUjiulp6Vwnw5vef0zMzMzPKl8HxXffNWfUWHT38NMzxvlvoe/pYqzGUhfz+nmZmZFULhObOo8J77MKOFmS39cNHnOsOfw+uJ0ecIon8PyzV0Rop73q2p32sWzou/o9PMzMwKodTv0Qh/D7NSNHulCrNP9JnO9GVC0ecL6nsOLvw89TOg0WmF59ui9741ZUaL3kMXN1uamZmZ5VOZms+i59SmNWNFr6WG/0bfvxF9BrMxr69O67j9XZ1mZmaW76W+vhn+3pDXN6N5KnqvWfT+r9R5La7oObZwXKlzVDTbNeVyRK+vZuP9b2ZmZmaZLPXzAQ393GX65wOi2Wh6M1aYw8Jrm2G56H1iYVZLfc1zRmvoeTAzMzPL9VKf+2rIe7ei1z9TX49syGwULRdeJ019HTN631hTP3vpfGZmZmaFVOrvdZreYaPXQ+M+uzmt2Sg6jfT3h0WfGWjq5zedz8zMzKyQCs+hRZ+jnNbzWKnPgaXPU9ObjaL3rKUvF44rvO7Z1MsQzWct+bsLzMzMzJqz1M9Rhhkt/XvEwmufYZYKc1zc+9Si+S7u36LXUNPfux/Ne9HnOJvy+c3o+bnm/J3sZmZmZtkozGHRrJX63RrhOa64uS0qet0z+g6O1KLfCZX+3Fz02YQwl03ruBvStE7fzMzMrFAKc1PQkLkp+hxm3PNXqd+rkfrz6DmvTPzuzHAcmXid1MzMzKyQCnNYY2ekprymGRXNhv7uADMzM7MpC8+BhfmspV9jDM/ZNfX708zMzMwKteh3arbU7ylv6dMzMzMzy8fCzBSez2rumamlTsfMzMysEAozU1M/kzmtwmzW1N85YGZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZmZoVXiRVJM5cMK9m5ZNuSmpI9+f+9SioT/2t4i5fMPNMs/Hc2NPSec3GrkpL7S+dN/Hkgp79OyfolgxL/P7xkg5Kqxp5+SWPvueH8LtyI05he2X7kNOX0Z5qT+wBmwayYDbNjDrTCnJgLc2MezIv5MD8WQGssiIWwMBbBolgMi2MJLImlsDSWwbJYDqVogzKUoy3aoT06oCM6oTO6oCu6oTsqUInlsQKq0AMroid6YSX0xsrog75YBauiH/pjAFbDQFRjEFbHYAzBGlgTQ7EW1sY6GIYarIv1MBzrYwQ2wIbYCBtjE2yKkdgMm6MWW2BLbIWtsQ22xShsh+2xA3bETtgZu2BX7IbdsQf2xF7YG/tgX4zGftgfB+BAHISDcQjG4FAchsNxBI7EUTgax2AsjsVxOB4n4ESchJNxCk7FaTgdZ+BMnIWzcQ7G4Vych/NxAS7ERbgYl+BSXIbLcQWuxFW4GtdgPK7FdbgeN+BG3ISbcQtuxW24HXfgTtyFu3EPJuBe3If78QAexEN4GI/gUTyGx/EEnsRTeBrPYCKexXN4Hi/gRbyEl/EKXsVreB1v4E28hbfxDibhXbyH9/EBPsRH+Bif4FN8hs/xBb7E//AVvsZkfINv8R2+xw/4ET/hZ/yCX/Ebfscf+BN/4W/8g5K5ePxjZsyCWTEbZsccaIU5MRfmxjyYF/NhfiyA1lgQC2FhLIJFsRgWxxJYEkthaSyDZbEcStEGZShHW7RDe3RAR3RCZ3RBV3RDd1SgEstjBVShB1ZET/TCSuiNldEHfbEKVkU/9McArIaBqMYgrI7BGII1sCaGYi2sjXUwDDVYF+thONbHCGyADbERNsYm2BQjsRk2Ry22wJbYCltjG2yLUdgO22MH7IidsDN2wa7YDbtjD+yJvbA39sG+GI39sD8OwIE4CAfjEIzBoTgMh+MIHImjcDSOwVgci+NwPE7AiTgJJ+MUnIrTcDrOwJk4C2fjHIzDuTgP5+MCXIiLcDEuwaW4DJfjClyJq3A1rsF4XIvrcD1uwI24CTfjFtyK23A77sCduAt34x5MwL24D/fjATyIh/AwHsGjeAyP4wk8iafwNJ7BRDyL5/A8XsCLeAkv4xW8itfwOt7Am3gLb+MdTMK7eA/v4wN8iI/wMT7Bp/gMn+MLfIn/4St8jcn4Bt/iO3yPH/AjfsLP+AW/4jf8jj/wJ/7C3/gHJXPz+MfMmAWzYjbMjjnQCnNiLsyNeTAv5sP8WACtsSAWwsJYBItiMSyOJbAklsLSWAbLYjmUog3KUI62aIf26ICO6ITO6IKu6IbuqEAllscKqEIPrIie6IWV0Bsrow/6YhWsin7ojwFYDQNRjUFYHYMxBGtgTQzFWlgb62AYarAu1sNw

Page 205: Lec10

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

Page 206: Lec10

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

Page 207: Lec10

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

Page 208: Lec10

BAgOXQNADqEJzEHvAJBFaALz0UEApAhN4Fr0EQCG0ATKoJsAmBKaQGn0FACEJlAenQXYcIQmUAn9BdhkhCZQFV0G2FiEJrAAeg2wmQhNYDF0HGADEZrAwug7wKYhNIFl0H2AjUJoAkuiBwGbg9AElkcnAjYEoQnUgn4EbAJCE6gLXQloPUITqBG9CWg3QhOoFx0KaDFCE6gdfQpoK0ITWAW6FdBKhCawIvQsoH0ITWB16FxAyxCawErRv4A2ITSBVaOLAW1CjwZWjV4GAEB55CYAAOWRm0Ds6MLAOpGbQNTov8CakZtAvOi8wPqRm0Ck6LlAI8hNIEb0XITj/Pz88PDw4uKi6YasCb0Pa2ZdrNvt2r43HA6Pj4+bbhSAxe3t7akvq1833ZA1ITfRiNPTU+14/X6/6YYAWJYSs9PpqFM33ZA1ITfRCMvNwWDQdEMAoBpyE40gNwFEitxEI8hNAJEiN9EIcrMS+ikQDvojGkFulkcPReC4DwVYA3KzJLonwsd9KMAakJtl0D0RBe5DAdaA3AQQKXITjSA3AUSK3EQjyE0AkSI30QhyE0CkyE2s2cQZjUbkJtAO3IcCrNrx8bH9PRRyM4vOiEhxHwqwHkpPnXU23YpQ0A0RL+5DAbBm9EEgIuQm0Cw6IBAXchMRad/u2r5PBLQe3RZxadMeu3Wl6YYAqIBui+i0Y6clNIFI0XMRo9j3W0ITiBedFzGKOneibjwA+i8iFWn6RNpsACm6MOIVXQZF12AAs+jFiFpESRRRUwHMQUdG7KLIoygaCaAM+jJaIPBUCrx5ACqhO6Mdgs2mYBsGYDH0aLRGgAkVYJMALIlOjTYJKqeCagyAutCv0TKBpFUgzQBQO7o22qfxzGq8AQBWh96NVmowuQhNoN3o4GirRvKL0ARajz6OFltzihGawCagm6Pd1pZlhCawIejpaL01JBqhCQBok5XmGqEJAGifFaUboQkAaKvaM47QBAC0W41JR2gCADZBLXlHaAIb7uLiYjKZNN0KYE2WTD1CE9g0XSf7zt7engaB4XDYVJOANVs4+whNYAONRiP1+uwJphJT7+is8/DwsMGGAeu0TG6uoj0AgjUej9XxlZ7pO4pLvaP3Fabn5+cNtg0AgAApJbOXahWXXKcFAKCIfaF5fHycvtPpdHJfegIAAGMXZhWUFxcX9o4lKbNqAQCYdX5+rpRUeqbXZnXuae802zAAAMKkk81+v396empZaUk6GAyabhcAACGye08UlzrTtOhkgj02x8LP+lCXOXVqbxIQMvWX9Hu9DaTPPh6PdbKZXpjVy06no5d6s+nWYVka0kejkf1C9a9+ZpCv61kf1muspwwGAxXnvi20j31tl504avdcaDypdLSZ9pdZ8Q5KuUNufZBNPpxoGZv6lb1Ld5PV9ayPPSft8gpNjQw67Ky5udgYr5ymW5GnfqHeoV09fSedEmO3+ZdfjzqIDlkHb1L+ctsjAmS5yUQvs7pnfdi1Gg44sZhXb2q6Oa/ZqWJ2x9Z+bhckKx0oag0KytmoVWek1yA05GbO6p71wXbGMl75NN2oywEke6nWvtpY4CCzKDqB0JCbOat71gcT0bEkb3Q2G6B2YJntILNJWmltWhXRicCRmznzn/UxKMHb620GBbmJJc2JzqYCtOOkY4glqX3pqd3+2v6Sm1xh0cm1WYSM3MxZxbM+tE6bt8x2xvKujc41B6h6iuVmesSo4NM7C69QPa7f7xOdCBa5OauuZ33YLZzZm30YClCLktG5ngC1A8vxeKwAtT3cZqEvcwuJTleZ5I9gkZuzanzWh4YOBa7dyHnttzaVBkNgAQvsw9eyA0sLTbtVeflRxdYZ782baDdyM2tFz/rQYFJmqkPTYyrab+F9uIh2bBtD7MKsepDNB7Az0GXWbM8MqamZzeDZem1FbnrV+6wP+37z2pn5TY+paLOF996Sso/X066+/JxYu1AT9Vcb5GZbkZvrwR98R43CictaeK/H2mWfqC/VkpttRW6uQu4KlX1ZQw9CLVoTlyn1l9wQZDezLPb8hHDQ69tHB3LaOe1iCLlZr3RC0dRd8rWJRvw1BCyvTXGZ1e121WXsqqyGJptUwPebCI09q5z7CldEWWnPqU5vQuEpKFhS++Iypd5hPSXVgls4yc22svRc7KFYmE9bdW9vz56IEvXlJoSglXGZpT6inqL+ol6TnntGjdwEgKa0OC5bjNwEgKYQlzEiN5HVvv2hfZ8IQLMYVZDTpl0inYrQdEMAtAejCma1Y68gNAGsAgMLvGLfMQhNACvC2IIi8e4bhCaA1WF4wRwx7h6EJoCVYoTBfHHtIYQmgFVjkMG1YtlJCE0Aa8A4gzLC308ITQDrwVCDkkLeVQhNAGvDaIPywtxbCE0A68SAg0pC22EITQBrxpiDqsLZZwhNAOvHsIMFhLDbEJoAGsHIg8U0u+cQmgCawuCDhTW18xCaABrE+INlrH//ITQBNIshCEta5y5EaAJoHKMQlreevYjQBBACBiLUYtU7EqEJIBCMRajL6vYlQhNAOBiOUKNV7E6EJoCgMCKhXvXuUYQmgNAwKKF2de1UhCaAADEuYRWW368ITQBhYmjCiiyzaxGaAILF6ITVWWzvIjQBhIwBCgCA8shNAADKIzcBACiP3AQAoDxyEwCA8shNAADKIzcBACiP3MTqTCaTi4uLplsBoAZ05xS5uZjDw8PBYGBbTz/oZdMtatjx8bE2hf5N31Ev0zudTkc/lFzJ+fm5lt/y0fv0WWA9aunOqdPT09FoZF1b/+pnvVNre9eN3FyGbT3Gc9FG0KbY29tL31EI6h0dUYzH4/J9TUuqZ/X7/cGbcr0YaIdXV5puyBvq6s5ZKqs1KDTra2ZjyM1lsPWyFHa5owhLQP2gvlZ+PeqVCsrc0YhetqPHATmv3tR0cy7V1Z1TlpvtuDTHyL8Mtl6W9YvsWaGOV/WOjlSrrsobnUBbvfJptkk1dufsCslNsPWy7BuQbrebvjPb9cpTKR3cEp3YEN7obDBA6+3OU3ITV9h6OR0n7RrW9exbEnW3wXVyV2KtSAMfA2jCnOhsJEDr7c7kJgxbL2c4HFpHS2cO6HhV7yyzQqmpdUDoro3OdQZovd2Z3IRh6+XY9PXxeKweZ5dY9YPeWXjauVairrrYPAQgRiWjcw0BWm93Jjdh2Ho5Nlndepn+1cvlO4s677U3b1YaaoD2Wbh/zVFvdyY3Ydh6WZPJxLqGXclRX7MJeHbIuvBq7Vay+d2t6UELaNjC/atI7d2Z3IRh63lln8elY9TF7pLO0ka2G8eKND1oAY1ZsnNdq67uTG7CsPVqN/vViZ1vsp2xCcKJy9qRmzBsvdqNRqPcAa11t+x9ZEArtS8rs8jNDXd+fq7TovF4zNarnT3aPb232vpaa7obUKStcTl1F5HsCWCt6ciM/IvRnpD+PZSm29I2Nvs9i1s40W6tjMvUxcWF4tL+Hgq5CaVn9k8GoC7asMpKHZnoX/4MClqsxXGZY+nZju5MbgJAU1ofl61Ebq5f+zZ4+z4RABQhN9evZdu8ZR8HAOZj0Fu/dLpL0w2pQZs+CwCUwaDXiHbETTs+BQBUwrjXlNhDJ/b2A8BiGPoaFG/0xNtyAFgSo1+zYgygGNsMAHVhAGxcXDEUV2sBoHaMgSGIJYxiaScArA7DYCDCj6TwWwgAa8BIGI6QgynktgHAOjEYBiXMeAqzVQDQCMbD0IQWUqG1BwCaxZAYoHCiKpyWAEAgGBXDFEJghdAGAAgNA2Owmo0tQhMAvBgbQ9ZUeBGaAFCE4TFw648wQhMA5mCEDN86g4zQBID5GCSjsJ44IzQB4FqMk7FYdagRmgBQBkNlRFYXbYQmAJTEaBmXVQQcoQkA5TFgRqfemCM0AaASxswY1RV2hCYAVMWwGanlI4/QBIAFMHLGa5ngIzQBYDEMnlFb7NdHaALAwhg/AQAoj9wEAKA8chMAgPLITQAAyiM3AQAoj9wEAKA8chMAgPLIzahNJpOLi4umWwEAidPT06absA7B5ubh4eFgMLDm6Qe9bLpFDTs+Ptam0L/pOwpNvdPpdPTDAmsbDoe2ebvdrjbv+fl5re0F0GY2gGTHDQ0jeqff77f+YD7Y3DTWvNb/FsrQRtCm2NvbS9/RHqt3tK+Ox+MFolPsyETF62smgApeXWm6IZVp3LDxJ33Hju11yqk32z1oR5GbTbciFDqQyx1F6GRTb07dPrzACi03N+TSChCmV29qujll2ZG8jT/GroCNRiP9p3aPKoEHU+DNWzO7DJK9VKvTz9ylkkrITSAEr3yabtT1bADJjj86ku92uw02aT0CD6bAm7dmdjiX3S1nk7QSchMIhDc6A89QG3+Gw2H6zpJH8rEIPJgCb976dZz0OwVLUvvSczQaDa6TS1hyEwjH/OgMMEDTqYnpGGJJ2vppnIEHU+DNWz8d2lluphOBdPqpdxZbG7kJBKVMdAYVoBp/dNyuccnmXdhkxez0xVYKPJgCb9762Yy18Xic7qg2G3yx7KuUm+V7NIC1WaDj1yi9GyW9Wqskbf2gHXgwBd689bPDOQtN/auXy1wYITeBdlig+9civa98MpnYTNpNuIoVeDAF3rw1055pKWkXZrWL2rfwC9+DSW4CLbBA36+Fhg4bguzCrAYou1dOA1S7pwYFHkyBN68p2cfraf9c7KEHU77fBAITRVzOyo4hGo7aHZrT4IMp8ObFjtwEwhFjYm6mwIMp8ObFjtwEAkFcRiTMYNJpvgZze/5hgM1rAXukbafTITeBxhGXcQk2mDSYp38Ppem2tJDNG7fNS24CDSIuoxN4MNl8raZb0VqWngtPKwKwJOIyRoHnJgC0GHEZo1bm

Page 209: Lec10

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

Page 210: Lec10

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

Page 211: Lec10

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

Page 212: Lec10

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

Page 213: Lec10

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

Page 214: Lec10

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

Page 215: Lec10

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

Page 216: Lec10

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

Page 217: Lec10

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

Page 218: Lec10

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

Page 219: Lec10

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

Page 220: Lec10

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

Page 221: Lec10

rSa9Xlpd4yfsPtW/v1qetH3ya5/87fZyu+73sZjc9sfW1JxJNW7O4KNFd3Tl8FSW5kvmqr7P5KaaGlkyrn3jE8Ho+TZcSjrf5k+aozlm0vtPl3XkdPaW3FF3Z8hu7+nT2ieG0VxGEnOZPmlSbfPq3uZSMM9LqjYX//nvlPcsbu0TxehZ7S6jyXU26p1tFW9fKiaX0BnzWNFvEdOxZ7X1fGPPat/+gu37Lgf2a0UXlzj7R4rB08eGfnXrQ84k2zYnXrxtdxzsmdVgdbwTqxN1Xz/e6kSLViveEyPfqh8TxVvd3rbVeVsD6VZ39MRqtSdWJ3tidWdPrO7qsA2kt6ypnljd3ZOzYE8Tq6Pe/aXS1hm7t6nV9GtYOdbqviZW11x/J+pW/d6deKv706xOemX17x2Txuq0tepf1e0dtWFcyGP221j/5qSJPEbseIBq4YI2qinyG7HPyNzD7GgMeMCWMDYeOe3u0ZN+DGn7uqN9gAetv9J+3+GhDtM93mG6J1pM1zAGJ62udaQO+3cu60WU3JHcb2+ODSPubENo6DXZYTyGURdnz4yY/w97cZdzbxt66eKsVHeYWG+b63dU9Kr/j3lWzsVaORJnpWzKIofGxfw2gj7lWbF9FQ21czSuduaNz1VdMKkXvNQ77P8lN7JlwY2vjNqajbN1omh8jXmzPxc9W2PGn9pnR7rJr4u3dSzRVs0+gXnKs2XHY50ou3IdcrYqnq0n/H47Y+ZKMW4fra3rnq0h40/ampu0w+yidk4k2pk/Y+yUi6YsVVOWSa//eH+cnZOJdnTGKt2osbPPlGd6l3ckY+3MJdqZtna2F1XPZVOe6SlXnkk7lHHMszPn9+JZPzyuDdSKzj+Wnaltpn3uNnZOlU1kPeSO32k7NrVQ9Wxe9Hv2bNnibMqHnrX3nXJtyrSneTs25aDZ52ljc/4pk8e+ojsmrqMlGjmcjosc3BG19x/bi+LiwoKJGI4G/R/Te01uh4z1EXOuVPd5560dehqNh87ExUOuZgouRvNj22l7Nz0Z9JC4yHyvzWdYe1W9bPbqsLdXU7F7dTZxr9yYGHuvroZz8/tLqnvMXhy3dbjd1OljXjveHZfPfGI+bkRPNJ8TQU+Kd/xNu1IgrON/wGvnU3H5LDTJZ8Qb81PPx+9dqe621x6zP5cnzFE65J0Hsfmcazuf4KjZ82LR7M+JCXO+Pe6dJ7vi8jnfYj4Vr3Ucr/es2PP4abM/VbM/00+4fBbssO9oD8KFuB6EaD5TZsSMnBq/p+CEHXU4bevJjM/XVvaa6KYDPBHN42KLeYwsTY8Fvtd0xbTkw/b6WzL7MuryGHV5ROtrMa09+16iPS5uNHe992XeXj+3mf3YN26OyxGvvuxw/ANePh/k98jaa01aPm5fxjyPb5sdZVtY2/NSNvs2f9TkM2/27bK3bxet3WdF87ycmGe16HpenWc84X0eDa4M1XLQQ1M20f78rCnjWTMqubrN+bwLLs/oMbsSd8x0Txwx+zljztvJsqnPonf1qbf7Win8BNKNjLT3ymJDH3Bsz5KdQ+DVlZmTUXD3BnvMZmyfZGgEsb1XNfQB27JH7I6UjRdWMj1Irn15Y+omvNGbsncltt/7apy1su2Rrls7WD/j060tJVoLxR0tW7uWYG3Ya43Dqdai9/jrcff4sh1p6sVvoR5Q5wU/EWenFmdn3Ix0dfFKkp3o6Fvb9XQy6ruavrH5YjhGs3s1Y73oJ6I2il2wUUq0EWqXvo3ZeBvlJjbK4XJ4NqLnS6Ucc75YG67t2OvABRttHDMt82zJlGvU7GvZjQQq2OlCUZ/MjkKM+mQjFXOu297B8aK7XoyYJ32HzLVSkeIpL2Yu2OtxOeqTDRubUZ+sbGYh6P4kmztLLpatmN7eSW/0hAKbiud/jHh+ciH26dFIXE1ctiWcDa7u+8YCH2245Lc4nQeH6jURtTsaZ7c8Zq7es8FVbWos6HseKvnnl+tfTbK7rYlde0ZYu16rNLWzr7ndsaZ2zZHz7Jq7d4t2xxPtGvfWszs+FvRt2fJONbc70bbdSc8bnF5jN9qCt8e14BS7w40tuBS1uSPRZnW27lGYz64tjJg7+Xy6zWqbNkeNzUg5o3U6GVenrs9hr7ExWXKeoe6qJ93zpEl7po02qdOdcWUN2d1pZn+pzU4szR/27tZF4+6Gyxq9KuyKuyqEbE6VCl6UUZsLnoocHHXe1W6vByy4KkRLPNWkxPuN9Qu2dg8HZ/PRNSUuRm3ubmJzX2DT1YJtadPpNvf0wObeJjb3BjZrh73ra6HZvu9rYnNPvT6PBPfSJjb3N7G5u77vR9wTq8ZjFPWCHjM245/57zG+atXOIR4zvv1R1+PpxlPbkfINXseBuDu1K+FVU6LTto1ucz0SS66dN/Rz2hI17z+Mjvc4ZGunyUgV1fTZ2NEijzdNXRi2vXSxqZ9omnrSjnM5GZt6umnqGTvO5Vhs6pnm+23HudjRgg3PKd0cmHJc6un6KIzRoP/naMmPldUe/N8vj5mn4fvi7B9JtD8/Hcxelv0hY1+fj5RcX8mwmSXj/351zDzRt/ajT3OPGtOxT3OrM8G85quja8fA6Mrrj8nYUXIzunSVPGVGJtgRuoX9Xi43/B5Tk8FCQi5rxmDMHw1Gyjhfp2C8x1K4FP7n8nhhamne9mft9fJ7H79X1WQ1k5BfMK7BOyrK/1jJ75GZPxr8flD7et31MZfrY2kKM15eH+f3utq8KnEtoFrYf8H1KrojPlXYfSE0tqb6WMPvaz7PDxVGrwa9X8PeWI/ovp5I3Fe/Bbq683sBZuP2Vbf889d1mfKPuNvXYvQ4nkw8jsorGMsxGswQnw18s/mjwe/Ka/76dOzYm+i+zaXtm+9rX67v27GSP+5D+fm/q53sWpqeiI7Fieb1ZGJe8/V9c23Qq8eYfVNek0u1iWZt5lRim5mfjoz0OBLpMToZ93v9c/VU4cpC7VLQxtzoh+hxPJ14HP38je9Xr1d3nMaCkSHjXkyjWP9JM4/zqXpPY+xxPJNYt9PTwWzz+dFgnvgRr26Hzf4Fv4+Znq1q/bi7NnrJy+uNfu+yzWs47tyfCsb2XLZlrQQ9VKeGzO+2xyo69ue8mcvutreR7M76WKO9ifZU1tGl+Wq93diyvumsV9bX+T3U9jgMxR2HXcHIoBOmd7I6bD4/ZqLhU7a3smSOw3573Edcz5eJjoORRPN749KfsneHStCG3Vgs1yETrceF5HrcFRlNVAz85ZGRtaOKpguup3XC6+W08cR0vefVXfMPJdqbmjBtcGfQJl1Z33TRK+sb/J5xew+PK6sO15oxSe6Y2utAeWTt2CQXS7vRLaUZP54o1GNk+/uhRHtmkFbBb7fuehYt5/nEcrrjXR8RUK33EI2PrB0Z4P8+aerU9IjX+9gqQXrVaZI9M8MjaMPufD3vlfOO3zNvfci0cgajo+o9z7acoVFS7tpYdMfe9879cvrp/XLG2LMj0uqjrOa9Mn6R37Nvyngl+dwJjQSp98KPhMsY9AI1ltHvFQqVMdaeWf0jtnSL7ZTOj7P80vmfY0rn96akli403iW+dJdaLF3FO3dHvOvMmtFffulsX4FfOvd7KUg/fSjRXmLpLrdcutCVxJYuNNopWjoXwzYpXcheYumuZLp0T2W6dE9nunRXM126pTbP2dQryppzdu0VJemcXXtFOe2V7tX+0yBTupP10g2b/v9TleBu7ufu53auGHgHkdyrR8J3hEr4Wb3zdGLt6Ra8Pa5c15uWy392mF6ustfP1Fgud+dLspdUrlpiuar1Z5jV+t3IL1cl7HHYEYl+uVzvuu+xuLvbSKK9pHLZbq6kcsWMBDlfdH1kjR6IK9e24Hmb81gq4XLF2KuVJ7fHtf5iZW3rtx7M0ZGg9a/xyCbq+awZ/biv7uGNBZ5TNeKx1A4l2jOrR8Sem6VI6UatH+6Vbu3oyfoTt+rI2lGUoXNt3MQ/JyJ3cxcnP55oT6VzC6JEn+GXbenKMaWTd+yPwrRRgnyJGdvGi240po7hbPizfl+zvRmL5uxGe9srNs96v+iY7UsdCfpa7dyffTbCLJvPh2zfa8H1j/u/m7U+rIFoH+eQsR7q46xbTx9bOdxhupEW00X7c+2AkZORdNM2drSt//HiTOgJsB33uiV69LZFjt6Y15K3mWO/YFYUmvFn0FVMfDppbO4ruj4Sfd5r7hMHt5mat/MUC6Xgd38ERmHay/Nj/Gd7Js/9lbV5Tnnt05/5W7Vx5Y5g/t24tTll2uMe67fb9m/z3FNy/Wm2f8GWybVXu9ZN4YiX+yf4TwBtrUVyr9ajnvo1xvUG1OfruRqomhqYLrrehQkvtylTAzVbmuvB725mkqn1aA1MxNVA6Lpev/6qDH6Ppa2BeVsDdu7OBVMDVTtzaMrebc3vVVsD+70aeDq2/rfH5R66d9fj1dqOYC5g1ctd1h+zcb29ytq4f5c55ifqudvfE3PfkZi7f7Xxr6W1HeFZgSXTg2l6KcznU/bo233fafb9lC3dE+bzAW/fn4rNvdpK7m7U/I6gf8XPfdTMWjL7avZ93u77ZMn1cfi5H/T2PT73ySa5V4J24O+7+Vx0vUsTxrp/X9Ll3bTFkutx1Geb+yFv393ic4e83D/Mf+5przNpua+db7bb7IsbdWFzu1x0udk+yVGznqVp6SOuX86NwtgRt9e7muz1kLniT5XcGRT0Q9gzyN59H7ft0R5xm8/2kovb9flx8/kJb6/dgl9Perm/yn92anMfWpt7yFdxY1y8J/G292Wm4HpZpsuR3lF7/o/bq6ptEY+b323uF0ZNaW3pFk0t1bzz392/itE7+u7IHX1NmWyeMyVzBg6Fx78c9dZ1G/X8

Page 222: Lec10

xvnI2Dt3fbA1Nm1r0LaTUVtmU2NlU8NVW2Mza+7oUS9tT8RL86/PQ57/MOSNkLOlG/X7+OurztnP84Wgv3Wq4Ly8khnfr+0vFF1pyuZJ6Kgd52/9lbL3u11XKOZI7o0cyVHztLNq1ixTBVy0fXgF511XvZhkxlsNz9XqWP2qaq/U20w57FwFeR76fMSe23ZUkS3HeXOkx725DPZxeWH0hFemz/KfJNtzql6mPaZ/9qi3rt9sQpnG657fLlsm25p2mTyPmt9tJKIyTNhxEtoHc+Rc3HTUu74sxt7b9kfubXZWxon6GnsjYb9ztH6fUW5j5vOoqZFqyfVE6vOsLb2pkeo283nB1MiUVyPec71oGR6LlMG2tVP1MtTHyCWVYcaOlVRrOmifhNiz35xf09vcSggL/u+JZTjQUIaCf1Riy1Cp9yjaMox4eejzQfP5uI2GbcuwZThrynjQq4eJ+DIcbCjDjDdaJVoGt6piqMfQK4Ope3vkbT0ct2W01xlbhjOmjNNePXhliF7xD0Wu+IfNCp1+PYR6fO1ntdYnrTdn49dt5vfTpgxHbR72SepJe0cYNteRMRdPzUzEXfEfj1zxTZauHdaKwcjSKe+z72PNm3zmd5rf56yHYVbjdfmUrIdhy3HAfJ7zzgK7RGFDRPJExKe9GDkHy3Yv7F3W1vSQqckT9mgfMJ9tLYyMBq3hSVMLp7yjXSnH5jndSp72mlgdd3nOeHs8bffoSfvMwB5dm+dc0a+R5DxnEvN012F7ZztlW7nNs+LZVBnsfp62tTgSlOmkKdMFbz8L8XkebshzoRB+DlMO8pz38jTPr+ydZ02eJa9MJ0yZLnv76eUZnT9yxJ5J9TzPmzNp2j4H8a5qk3ZWVck8y6noCmHWGTg6bO7Y43YdLfOMTb8Xl+Q8mrPXu/vZ9Wcb5icctW23nlvRnuv1tnve3lUqsladMNZPGOvlsslt2nxeMLnvsytJj3urpdrl/KOj22btXtVjWNsXYu1OW7vHA7vT1u45z27J5Dvhrd4XY/dYnN1xY3fe2j1m7I4bu1Vr97yxWzXlVb6jyXaPJ9qtWbuzgV25RPp8wbNbMvm6vpdYuyfS7Jq7sqn/qq1fa/eisTti69crr7MbHXljL72hkTfWrouG7d39otcK7GrKDannElPP2PvyoncFik/9ZFrqUfME3eV9Kjb1qcTUkzbvy17e8alPp6Ue9dYI1me7mnVDn8KZSJ9CdLySvZufKLvP7qhtido429SGuUaU3XVmNt7GfBMb1sOd98qRYGOhqQ1zvfPK4WYnb4n2NJ2L9DSFnlNXbbRvrzVDpnVWnXeiz1ftWbDHHKtr3rFyS3lHrZ9Ps26uXMb6tLFenTSfz9ormWfd5u6O5YlY6xcSrSu6lLWisXYwYr1sr0C27DWv7PHWL7Zifd+Qm4dUMb7EpB17b62bnqKiK/vxWOuLidbnrfWysTYVse6uGrutR+H1fcVbv9SK9aqtGXtHedJ+9qyb+Msr+7FY65ebWK/YskasT9masWUve2V31qMzlq8Y6/Frzu3wovArwZ03sBK9SjwVuUqEjt52d7V282l2xI5qfDot9Wg9dTU29dXE1PNr8o5PvZSWOpT3ZGzqa4mpp9fkHZ/6elrqUN47Y1PXElNX1+Qdn7owlJI6lPeu2NTFdaUuJab278Eu9VRs6vK6UlcSU/t+RTh1dAT1kEkdO4J63vcezhkrVXOlPWG8CjejyD7ZaxiHP2zLEjvG2/fJ7MrK9vmRrtt23uKMfd5TNGstGaJXixFjM37mgO+PLQS9skdt/LjH9HaUvT4i/1mhffrdMAvWdk3Er6NVL7EfCR40PrWsL3g9j+NetOr3gp2we7Al6jFvs7WSkMdoPY/hgv9UzN1f/JmVJa+fqFJ/6mgHsEfzGUvMpzYe7Iv/tM3PZ9R7qmpndNaKQZ+ue+oam894Wj6uvTbmU/HymWrMp2JWt4858hOJR37e25/CufrMZBtT7TPfb/f2x++vd+FY1Pr2NOt+y/fn2J5qZj3qte8w1uPn5vjH4lxwJlwecuMb/XYUqpOo3WqaXXd3s+sTTkTsDgVPqOPtTja1O2nt1svrxmsON7G7M9Gu6f2tmnGatgf3kI1zvSc8oblKtpcrxu6uNLv7qwU7Vt0f13ihXt5RsyLEtBkjXT0Y1yqmEluF6eOsFvz5SNsCu27W87jXC26fvAdrgkZLvTut1JPVYESjtT5ft77TWD81Wthm1lyIsbunqV1v1Elgd75u98JoYXyptj/O7t627bon6ru8keHbl6r742p5X1otW7uuL8Gvh5Jn185dsiNDq7NmpHX8CqP700q9uxr0LVvrp4bcaIiL/nP9bYWd5il5jN3Hmtj1V2TYZu8FQ24vfLtT24L5EtHaOJBWG2rL9lnzrF2txN7htnv3g1Jx5oDpr1r7RrjoPflg4j3ZBDBm/ZfqAffcsGDfWHb6WnWsPrfFjfKO+tiHjM1YH9tFjmPlwsHGtUOjq149bqxEV726Wg56wocKQY/EQmH2Uu2M96S55PWlxVt9IsGq349se/2OloKynikvVEw/0tq380WtTsdZrZXd9cDvpT9YKvjvDjtdnqyY3p61xyZqdSbBqvVZ/OdYU6XgTV+nygtlb02j0Nv7olYPJ1gd8ubvFD2rI57VJ8uT5drR6Nv8oq30SFwrVTQ84a0PYt9i5a8tfGI42PO5onvr1dq3/EWtH23Fuj/W4ehwsPbtyaJ7P1j6GqCzcR6LrI+b/vNJz0deO5bhQDAbZ3rYjLSIfStg1Js8FudNKqYfC+fjj1c4NVxYM6PqoK0zL59gtH1DTR2Pq6k1eczUglEJ88NBWzledOfo2pU/o3twImEPtpkVWtwenCrsvhjMkyqbmgh9rpj3I02sfcdg9Ip0Mu6KNF4x85Lre+D7dafqe3DZe64thqNxzFxcHLPGpms/Za/m/fbiGkXU2pOtWPNL6J7D2LYdb+1UnLWqWUlnvm7Nb12hsj0W61mejrsLxVirP5d31/d62523D0ejR+VM3FFZY7dQ32c32+lA0FYP2gfSDc/Xzto9j8y0sqvP1vzWdDZY2Td+ls+28O8lL/rcGcz0qC3G5TvfNN/Js+b/sWAsnRvbUA0irPlt4d+Hjb8U+n3IvJ9JRJ9228lEoafdMft7xo2h8L3F0Gyb0FMiO2ZqXylxNs+oN9a57I0IcS0l+oT1nG0pcfPcqt57GGfOmKvcaNzoqtB8nCVvBGLjfBw/9jWlcdF7tAznm5bBHQl/jU/fN4vOtbleSBrpGhqVNhJfhguJZZgf897heMaNAA+NUo2ZR3O9EBoFPBGOk/2xC+bMcGV4wivDR/q9waYMk5EyuKcOE+G8fR8yOj9mTd5rRkaH1vtxeRejeS82zduPw9eOd43m3Tgqu3nel1rJO/RMNjqK/1qQd3QUf2hkejk+78tN8h4On1UxMwiuBXm1n/eVPub9VB/zfrqPeV/tY95L6znH1rTz6IyM5nlf62Pe1/t4bal1ck31V2icbLymhkYVF4M+s4S8C8PpeXfxftaQd7GVvKfC96m1sy9qQd7x97nQ/bwh71KTvLd5vaNr5kaE5lYUiklzK2re8TfpXd47vLzP+c9JTN7Rtwa4/oHxYOaEm29t52PXgnWtq978bDOO1tmOvh++YvcrznbBvrPLzi12MyR2Rz7bl7a+zLO3zX+uYuy5YcbRsirmtoPCatE0wx2kGekgzWgHaba1kCa6GuCYTVOMS2PHAuwxny8MBfMU1IbsplE744l2ZuwMhD1BP95aO9FeqwnbfhLsjJpZAzMFby2CYa8vPcbK9kQrk7Y0du7B0SE3+j/Ryo40K/4cgaNDwSj+67FWqolWClXXp7dgRzCUU61Mplnxx+wfHApG1V+LtbIz0crCjmBs/pStlxQru9Ks+GPqp4aCse5LsVamko/0jmDE/LitlxQru9OsjJpR5DPWij+K/GqslT3JR3pHMBbdro+YZmVvmhV/jHjZ1ou18nSslX3JR9qWxa1SX2liZX+aFX+M9lUb49no/alYK48lH+ntbiS3ifmbWTmQZmXUrm7vzdFwI5OvxFo5mHykbVmO2X6eZlYOpVkZtStc+7NfrZXLsVYeTz7Stiwn7NPOihtjnGjliTQr/gjio3YtEmvlUqyV6eQjvd2NM16w6zWXvJHA8VZm0qyM2ncH+KOqrZXFWCuHk4+0fVJ/ynpcXs9CopUjaVbMqPHCzJrnnhdjrRxNs+KPsN1nx0PZEbbxVmabWLEjZUMjaeOtHEtudRPBuNjQuNkLsVaON7FiR8GO1EfJxls5kdzqJoIxryP1MbHnY62cbGLFjnCtld34mMBK1GOZ68DLebKDNKc6SHO6gzRnOkhztoU00dm28yZNdAVDP82VoeCJfDTdQpN0/hP36NE+l3x1sOeOHUG6zx7ts/Un61H//Xyi/74wFowU3Vd241DdmPeSGWNbMte/GHsXWrE3ZUeaWnuF0kLJ2K8k2LuYaG9mLBgNakdxu7GmhdJk2YzJH0mwt9iKPTvafNraK5YWyu6JbC3W3qVEe5NjwYjPkXIwnrRYmqyYHuoRc52MsXe5FXt29H7N2iuVzFNY0+Ndtc0yGvtdSYz9nL1KMIfBjRnVdfyAeYI2bEZQ+E8l3fKXz4rGF08lxyk106JPX6va1TO3B+/3sOdI4+rz9gyIbTPWzqlrup8qdpwMnjK6p+MHbIJoqa6mlUou2G7jRx+yK6B5zxJcqaJ2ltLsyMXdZWYVHjLPOmb8SDzWzrU0OwohJo1vZJ8mhJ4Mxti5nmZHIdoOc//e7/UMTCXbqaUeteHChLnf7fdGErn3Y8TaKYyk2KkMF8bMuNnd/rP4QsFf

Page 223: Lec10

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

Page 224: Lec10

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

Page 225: Lec10

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

Page 226: Lec10

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

Page 227: Lec10

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

Page 228: Lec10

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

Page 229: Lec10

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

Page 230: Lec10

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

Page 231: Lec10

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

------=_NextPart_01C50B8E.FB75F380Content-Location: file:///C:/1E8269F5/lec9.5_files/filelist.xmlContent-Transfer-Encoding: quoted-printableContent-Type: text/xml; charset="utf-8"

<xml xmlns:o=3D"urn:schemas-microsoft-com:office:office"> <o:MainFile HRef=3D"../lec9.5.htm"/> <o:File HRef=3D"master12.htm"/> <o:File HRef=3D"master12.xml"/> <o:File HRef=3D"preview.wmf"/> <o:File HRef=3D"master13.htm"/> <o:File HRef=3D"master13.xml"/> <o:File HRef=3D"pres.xml"/> <o:File HRef=3D"editdata.mso"/> <o:File HRef=3D"slide0056.htm"/> <o:File HRef=3D"master12_image001.gif"/> <o:File HRef=3D"slide0057.htm"/> <o:File HRef=3D"slide0058.htm"/> <o:File HRef=3D"slide0058_image002.gif"/> <o:File HRef=3D"slide0058_image003.gif"/> <o:File HRef=3D"slide0058_image004.gif"/> <o:File HRef=3D"slide0058_image005.gif"/> <o:File HRef=3D"slide0058_image006.gif"/> <o:File HRef=3D"slide0058_image007.gif"/> <o:File HRef=3D"slide0058_image008.gif"/> <o:File HRef=3D"slide0059.htm"/> <o:File HRef=3D"slide0060.htm"/> <o:File HRef=3D"slide0061.htm"/> <o:File HRef=3D"slide0061_image009.png"/> <o:File HRef=3D"slide0061_image010.gif"/> <o:File HRef=3D"slide0061_image011.wmz"/> <o:File HRef=3D"slide0061_image012.gif"/> <o:File HRef=3D"slide0062.htm"/> <o:File HRef=3D"slide0062_image013.wmz"/> <o:File HRef=3D"slide0062_image014.gif"/> <o:File HRef=3D"slide0063.htm"/> <o:File HRef=3D"slide0063_image015.png"/> <o:File HRef=3D"slide0063_image016.gif"/> <o:File HRef=3D"slide0064.htm"/> <o:File HRef=3D"slide0065.htm"/> <o:File HRef=3D"slide0065_image017.wmz"/> <o:File HRef=3D"slide0065_image018.gif"/>

Page 232: Lec10

<o:File HRef=3D"slide0065_image019.png"/> <o:File HRef=3D"slide0065_image020.gif"/> <o:File HRef=3D"slide0066.htm"/> <o:File HRef=3D"slide0066_image021.gif"/> <o:File HRef=3D"slide0066_image022.wmz"/> <o:File HRef=3D"slide0066_image023.gif"/> <o:File HRef=3D"slide0066_image024.gif"/> <o:File HRef=3D"slide0066_image025.wmz"/> <o:File HRef=3D"slide0066_image026.gif"/> <o:File HRef=3D"slide0066_image027.gif"/> <o:File HRef=3D"slide0066_image028.gif"/> <o:File HRef=3D"slide0066_image029.wmz"/> <o:File HRef=3D"slide0066_image030.gif"/> <o:File HRef=3D"slide0066_image031.gif"/> <o:File HRef=3D"slide0067.htm"/> <o:File HRef=3D"slide0068.htm"/> <o:File HRef=3D"slide0069.htm"/> <o:File HRef=3D"slide0070.htm"/> <o:File HRef=3D"slide0070_image032.png"/> <o:File HRef=3D"slide0070_image033.jpg"/> <o:File HRef=3D"slide0071.htm"/> <o:File HRef=3D"slide0072.htm"/> <o:File HRef=3D"slide0073.htm"/> <o:File HRef=3D"slide0074.htm"/> <o:File HRef=3D"master01.htm"/> <o:File HRef=3D"master12_stylesheet.css"/> <o:File HRef=3D"script.js"/> <o:File HRef=3D"fullscreen.htm"/> <o:File HRef=3D"notes_flag.gif"/> <o:File HRef=3D"buttons.gif"/> <o:File HRef=3D"frame.htm"/> <o:File HRef=3D"outline.htm"/> <o:File HRef=3D"oledata.mso"/> <o:File HRef=3D"filelist.xml"/></xml>------=_NextPart_01C50B8E.FB75F380--