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MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C50927.67431030" 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_01C50927.67431030 Content-Location: file:///C:/2687A098/lec8.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"lec8_files/filelist.xml"> <link rel=3DPreview href=3D"lec8_files/preview.wmf"> <link rel=3DEdit-Time-Data href=3D"lec8_files/editdata.mso"> <link rel=3DOLE-Object-Data href=3D"lec8_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>16</o:Revision> <o:TotalTime>246</o:TotalTime> <o:Created>2001-06-28T03:37:38Z</o:Created> <o:LastSaved>2005-02-02T07:32:09Z</o:LastSaved> <o:Words>616</o:Words> <o:PresentationFormat>On-screen Show</o:PresentationFormat> <o:Bytes>501373</o:Bytes> <o:Paragraphs>113</o:Paragraphs> <o:Slides>18</o:Slides> <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"lec8_files/pres.xml">

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<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"lec8_files/filelist.xml"><link rel=3DPreview href=3D"lec8_files/preview.wmf"><link rel=3DEdit-Time-Data href=3D"lec8_files/editdata.mso"><link rel=3DOLE-Object-Data href=3D"lec8_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>16</o:Revision> <o:TotalTime>246</o:TotalTime> <o:Created>2001-06-28T03:37:38Z</o:Created> <o:LastSaved>2005-02-02T07:32:09Z</o:LastSaved> <o:Words>616</o:Words> <o:PresentationFormat>On-screen Show</o:PresentationFormat> <o:Bytes>501373</o:Bytes> <o:Paragraphs>113</o:Paragraphs> <o:Slides>18</o:Slides> <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"lec8_files/pres.xml"><meta name=3DDescription content=3D"2/2/2005: Ordered Dictionaries"><meta http-equiv=3Dexpires content=3D0><![if !ppt]><script><!--

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<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">

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

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

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<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>

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<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_s48130" 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_s48131" 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"/>

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<o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s48130" class=3DT style=3D'position:absolute;top:8.=75%; left:5.99%;width:88.2%;height:8.5%'>Ordered Dictionaries</div> <div v:shape=3D"_x0000_s48131"> <div class=3DB style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positio=n:absolute; top:29.5%;left:9.73%;width:94.38%;height:6.75%'><span style=3D'mso-special=-format: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.96%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DEN-=GB>In addition to dictionary functionality, we </span></span><span style=3D'posi=tion: absolute;top:35.75%;left:9.73%;width:86.7%;height:6.75%'><span lang=3DEN-G=B>want to support following operations:&#13;</span></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=43.5%; 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 style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.74%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><b>Min()&#13;</b=></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=50.25%; 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 style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.74%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><b>Max()&#13;</b=></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=57.25%; 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 style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.74%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><b>Predecessor(S, k)&#13;</b></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=64.0%; 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 style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.74%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><b>Successor(S, =k)</b><span lang=3DEN-GB style=3D'display:none'>&#13;</span></span></div> <div class=3DB style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positio=n:absolute; top:71.0%;left:9.73%;width:97.19%;height:6.75%'><span style=3D'mso-special=-format: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.85%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DEN-=GB>For this we require that there should be a </span></span><span style=3D'positi=on: absolute;top:77.25%;left:9.73%;width:84.45%;height:6.75%'><span lang=3DEN-=GB>total order on the keys</span><span lang=3DEN-GB><i>.</i></span><span lang=3DEN-=GB

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<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"../lec8.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:\2687A098\lec8_files\slide0086.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: A List-Based Implementation"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

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<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_s93186" 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_s93187" type==3D"#_x0000_m132111" style=3D'position:absolute;left:24pt;top:114pt;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_s93186" class=3DT style=3D'position:absolute;top:8.=25%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>A List-Based Implement=ation</span></div> <div v:shape=3D"_x0000_s93187"> <div class=3DB style=3D'mso-line-spacing:"90 20 0";position:absolute;top:2=1.5%; left:4.3%;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-format:b=ullet; color:#9999CC;mso-color-index:5;position:absolute;left:-4.43%;top:.3em; font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>Unordered list&#13;</span></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=29.25%; left:9.36%;width:83.14%;height:6.0%'><span style=3D'position:absolute; top:0%;left:3.82%;width:96.17%;height:100.0%'><span style=3D'mso-special-f=ormat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.98%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=searching takes </span><span lang=3DDA><i>O</i></span><span lang=3DDA>(</span><span =lang=3DDA><i>n</i></span><span lang=3DDA>) time&#13;</span></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=36.0%; left:9.36%;width:83.14%;height:6.0%'><span style=3D'position:absolute; top:0%;left:3.82%;width:96.17%;height:100.0%'><span style=3D'mso-special-f=ormat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.98%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=

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inserting takes </span><span lang=3DDA><i>O</i></span><span lang=3DDA>(1) time&#13;<=/span></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=43.0%; left:9.36%;width:83.14%;height:6.0%'><span style=3D'position:absolute; top:0%;left:3.82%;width:96.17%;height:100.0%'><span style=3D'visibility:hi=dden'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-3.98%;font-family:Wingdings;font-size:75%'>&uml;</span></sp=an><span lang=3DDA style=3D'display:none'>&#13;</span></span></div> <div class=3DB style=3D'mso-line-spacing:"90 20 0";position:absolute;top:5=0.0%; left:4.3%;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-format:b=ullet; color:#9999CC;mso-color-index:5;position:absolute;left:-4.43%;top:.3em; font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>Ordered list&#13;</span></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=57.5%; left:9.36%;width:83.14%;height:6.0%'><span style=3D'position:absolute; top:0%;left:3.82%;width:96.17%;height:100.0%'><span style=3D'mso-special-f=ormat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.98%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=searching takes </span><span lang=3DDA><i>O</i></span><span lang=3DDA>(</span><span =lang=3DDA><i>n</i></span><span lang=3DDA>) time&#13;</span></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=64.5%; left:9.36%;width:83.14%;height:6.0%'><span style=3D'position:absolute; top:0%;left:3.82%;width:96.17%;height:100.0%'><span style=3D'mso-special-f=ormat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.98%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=inserting takes </span><span lang=3DDA><i>O</i></span><span lang=3DDA>(n) time&#13;<=/span></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positi=on:absolute; top:71.25%;left:12.54%;width:90.63%;height:6.0%'><span style=3D'mso-specia=l-format: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.51%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=Using array would definitely improve search </span></span><span style=3D'positio=n: absolute;top:77.0%;left:12.54%;width:79.96%;height:6.0%'><span lang=3DDA>t=ime. </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"/>

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v\:textbox {display:none;}</style><![endif]--><title>Searching</title><![if IE]><base href=3D"file:///C:\2687A098\lec8_files\slide0087.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: Binary Search"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

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<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_s94210" 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"/>

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<p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s94211" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:126pt;width:9in;height:90pt' 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_s94210" class=3DT style=3D'position:absolute;top:9.=5%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Binary Search</span></=div> <div v:shape=3D"_x0000_s94211"> <div class=3DB style=3D'position:absolute;top:24.5%;left:5.99%;width:99.43=%; height:6.75%'><span style=3D'position:absolute;top:0%;left:3.76%;width:96.=23%; height:100.0%'><span class=3DBB style=3D'position:absolute;left:-3.91%;top=:.3em'>&uml;</span><span lang=3DDA>Narrow down the search range in stages&#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:32.75%;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>findElement(22)</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_s94212" type=3D"#_x0000_t75" style=3D'=position:absolute; left:125.875pt;top:224pt;width:471.875pt;height:282.25pt' 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"slide0087_image006.png" o:title=3D""/> <v:shadow color=3D"#00007d [2]"/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"MSPhotoEd.3" ShapeID=3D"_x0000_s94212" DrawAspect=3D"Content" ObjectID=3D"66"> <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_s94212" src=3D"slide0087_im=

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AQEIQAACEIAABFoTmPmu4daxcQIEIAABCEAAAhCAwOQE8jzPQkTUGsGQkwkDAQhAAAIQgAAEIDC/BJgant+yQzkEIDAhgSzLcn0mlFCZdKq6UuOEHghAYIcARpCaAAEIQAACoxBI0TiPknESgUDCBDCCCRcO0iAAAQgsGgHM4KKVKPmZdwIYwXkvQfRDAAKjEyiamVSNTaq6Ri8sEoQABGYSwAhSQSAAAQgsCAHM34IUJNmAwIgEMIIjwiYpCEAAAstKYB5GUZe1bMj3chPACC53+ZN7CEBggQkwQrjAhUvWIBCJAEYwEkiigQAEloNAlblKwXCloGE5agC5hMBiEcAILlZ5khsIQAACyRFI1TwnBwpBEJiAAEZwAugkCQEIQAACEIAABFIggBFMoRTQAAEIzAWBWdOvqU7NpqprLgockRBYAgIYwSUoZLIIAQgsNgHM3mKXL7mDwJAEMIJD0iVuCEAAAktOYB5HUZe8yMj+khHACC5ZgZNdCEBg+QgwYrh8ZU6OIRBKACMYSopwEIDAUhMIMVMhYWJDnCLN2HkgPghAYDoCGMHp2JMyBCAAgYUmEGJSQ8IsNCQyB4GJCWR5nk8sgeQhAAEIzCcBmRh7ZKmpT0VXqMlLkWFqZYoeCAxFACM4FFnihQAEFp5AKoarDBpdC1/1yCAEohFgajgaSiKCAAQgAAEIQAAC80UAIzhf5YVaCEAAAhCAAAQgEI0ARjAaSiKCAAQgAAEIQAAC80UAIzhf5YVaCEAAAhCAAAQgEI0ARjAaSiKCAAQgAAEIQAAC80UAIzhf5YVaCEBgBAKbm5v56upqfuvWrZnP10r1sSdFXbnNi81Mnm9vNz4rzIVbX28MN0IRkAQEIDASAYzgSKBJBgIQmB8CDx48MDdu3DD6d+6PDz80mc2L+eCDxqy4cNvbjeEIAAEILA4BjODilCU5gQAEIHCQwJkzJr9+3ZhTp3rRuXjxohslbYpEo6gKp1HVctimEdTQkdgmDfwOAQiEE8AIhrMiJAQgAIG5I5AdO5Zlq6tZdvhwrzegWIPnRkmbjj6jqX3ObdLF7xCAQDUBjCA1AwIQgEAgAY1YnTp1KtebO/Q5e/Zsbs3R3sjXuXPncn2K0d29e9eNkGlErfi9Hzkrnl8lQ2v73Nq9rS23fi8/fDg3erXdyopb9+fW/lkd+s59v7aW5w8e7KVVt0Yw39jI82PHPorLxh+IYWawkydPmq2tLXPGjkRyQAAC6RPACKZfRiiEAAQSILBr8szx48ed0bl69aqxJs9Yk2eK06D2b60t3DNVGkXT5/Lly/tyce3aNfe94pt52LV9bu3e2bMme/ddYxM2+ZUrxujvL3/ZmKefNtaduunf3KaRvfGGMRcufBRl1RpBaxwzhXn++Z1p42efNdkzz0ShfNiOPJ4+fTqz+eo1AhlFDJFAAAKNBDCCjYgIAAEILDsBjdrJ4GmUyxpAZ3Ts35kMoYycHe1z5s9+71DJ5PlDZs+aI/ff4uifvtfoWbBhOnRIJnBnmndtLTPPPbdjDPXv+vrO9/bf/MQJCagtMo0s6ndnGovnlYxqXQTKg0ZCNSJ65MgR93dxd3XdGkHLZG809bHHHrPJX3brCKvWHcpgy3grfqWjMDp/2esh+YfAEAQwgkNQJU4IQGChCPi1cReKI202hxr9Wltbc7uLFUbmUKZP6+mKRtCf57/XdLH+bjV9Wp5qfeSRnSTsiOS+w36f2VHA2sOa18rzrKEMOazxcwZWJlj5kunVd/6oWucnw6cwfjRV58lYy0BXrTu0JtBFp1HXK3b0U6x0vriFaCQMBCAQTgAjGM6KkBCAwJIS8AbOGqAD050yRTo0iqVDo4J+RFCjYzJG+k7hvOnxv7cygt749S2D3cfDZCsr+/KizST50aONsV+6dEkG0I2K6l8ZYeW97pmLGimV4RMDP5pqz3GjqXWP51Gc1gC6NBRWaeoojrQ2CiUABCAQRAAjGISJQBCAAATCCMjwyODIGPlpYRlImT5vBGUsW00LhyXdP9TjjzfGIWNWDOTXONaZOv88Rj9t7s/VlHidES5/37iOslE1ASAAgToCGEHqBgQgAIEGAt6IVE1N+pFAvw7Qmxi/ScQbID9yqLVuGtlqNRoYs4RWVlxs+b17B6ZZ3aaUyIfn4/NfjL7qu8jJEx0EINBAACNIFYEABCDQQKBg4g6E9NOV3vDt7pp1o39+Q4hO0jSn/vW7h8sjZGMVQvbkkztJlTaUuE0kHBCAwNIRwAguXZGTYQhAoC0BTYfKDGqtm3a76nytfdPOVpk9bX4o7v6VyfPTwMWRP/2taWGNMFatN2yrq1N4u6HFbm825tVXjTd/7t/19U7RNZ3kR1OLG2j8OX60sCkOfocABIYjgBEcji0xQwACC0RAmxu0iUFmcPfRKW7zgjYy2M++dXPe/MkEFQ2iH1mcbFrYl4fdjWsfN7Pz7EA9HFv/2v87gxj5kCnWtHl5d7CMNJs/IsMmOgh0IWDf/Wj4wIA6QB2gDoTVgfv379sBtC33mXdmD+3jWB5ev54/tHlqyos1dBoJPRDOmmD3veehf/V/fe/jtDuA3XfWALtwdvdwbk2xfUmKfUtKIc5yXP78qjib9PJ7WH2GE5wYEezinjkHAhBYWgL+zRl+zd88g4j1HuImBppaL76JRaOqGhXVCCsHBCAwLQH7YkrWB09bBKQOAQhAYHEJaApY5rkqh3pjiNYJ3rlzh9fRLW4VIGeJE2BEMPECQh4EIACBeSegNZV2FHDfqIMMon+e4rznD/0QmGcCjAjOc+mhHQIQgMAcENDIn0yfdldrw4wePq3H6Og7bcJZhGn2OSgGJEKgkgBGkIoBAQhAAAKDEtDon94trI9/ZIxfI4gJHBQ9kUOgkQBGsBERASAAAQhAAAIQgMBiEmCN4GKWK7mCAAQgAAEIQAACjQQwgo2ICAABCEAAAhCAAAQWkwBGcDHLlVxBAAIQgAAEIACBRgIYwUZEBIAABCAAAQhAAAKLSQAjuJjlSq4gAAEIQAACEIBAIwGMYCMiAkAAAhCAAAQgAIHFJIARXMxyJVcQgAAEIAABCECgkQBGsBERASAAAQhAAAIQgMBiEsAILma5kisIQAACEIAABCDQSAAj2IiIABCAAAQgAAEIQGAxCWAEF7NcyRUEIAABCEAAAhBoJIARbEREAAhAAAIQgAAEILCYBDCCi1mu5AoCEIAABCAAAQg0EsAINiIiAAQgAAEIQAACEFhMAhjBxSxXcgUBCEAAAhCAAAQaCWR5nlcGyrKs+ofGKAkAAQhAAAIQgAAEIDAlAevvspD0ZxrB0EhCEooRRuYUTd1JpsivmJsU9aWmKTU9vvxS1TUv+qQzZYbvv2/yRx/NzO9+l874gNfzyU+aoItd956z+5mplmmqusqkU9SZoqaqGtpGJ0awext3Z7aB3TOp3qenrjVFfalpSk3PvBitVLmlfiPk9XU1gm1MmtJo08lhBNvQ2h92HtpDqtfXRWTHGsHubYkzIQABCECggoAMYBsTqCjanqPRSZlBDghAoB8BjGA/fpwNAQhAAAK7BNqauSpwMeKgQCAAgXACGMFwVoSEAAQgAIEaAm1HAJtAxo6vKT1+h8CyEsAILmvJk28IQAACkQgMZdqGijdStokGAgtBYJDNInfv3s03NzfNrVu3zMmTJ83a2po5fvx478UcQyzSvHjxYm61SWMnfbE1id21a9f2Va7Tp0+LYyd9xYj6aL18+XLtQu4LFy701iadXfU9ePDA1bfiMbUmr6Wozf6tdtC5rvVh5PWoftmyNFeuXKkss65tt2vZFcvMswqt723abl99TdpitI+uGpu0xaiDszaLjGHW6jaSaI1glydJ3Lhxw/Wztr4b1Tddow4fPnygTfTtj7uUaYi2vvWtiy611RBtMfvjNjqt33DXgaYyFTubD5W3K3db/q2uX200+f4tRJutj7m0Vx1nzpxp7aFa6dRzBKs+Vowe1VL526zv79y5k1vAuTUuuQUs8+D+f/PmzU7xFdPqqqlO79WrV52+S5cuddYWW5OtmE6T/4jd/fv3O+uLwU9lV9RU/Fvl3KWexKpzYiMNxfql8lTdi6GrT/mWtfn/q4y7auuqR2mLi+pTXRx92m5XXZ6DNaauHBXP1tZWI5+2bbePviZtsdpHF41N2mLVQbsxw5WN/i1+utbjLueV0/aa2sbl6476CF/n9G9VP9u3P25bpiHaYtS3trrEOERb7P44VKeYqAzVx1nT5Opq1bVJv9lBgn19ofLVpg6FavJxhmrzfXPVtbaLB2ijs9botYmkCFENp9iR+0obwzB01VRVyALrjWoqRlAX4lgGJpbRUjxqOFWNRWXdh11ZY5fyrTN9imvqmw9pK5s+tY1QsxOzDH1cKss6zn3abpeyK+fPX2iajGCXtttX3yxtsdpHV42ztMWqg1VGcNbF86EdeX54/Xr+MOAmVmFcWHtO0wW5bAa7MFMfq77WpyVGikflWEw/Rn/cVl+Ithj1ra0ucQnRFrs/DtVZvg75fq54DVA7Kf7f3/jKHDbVu+LvoZqK9at4fpU23dApD2XDp+/b6vNptdEZ3QhKeBmqv6tqA3uIi2AxTsH1JrWPmWkDuyn/sY1VDKOlOOoMVczRSqXThaUf5So2IP2tuIqdfRP7ut+7aPJx2WngSqOs78do3FV58he9qt/6tN0+nLyWUJPcpe321TdLW6z20VXjLG2x6mCoEXSmTqPxmlHa/Tx87rlaQ/jw/Pn9Ye25D99+u/bC3NcIqqyqykucyjfhMfrjNmUaqi1GfWujy18DQrjF7o/b6iz3JU3XAJV52xmarppmaasrU/V1bUcsuxjB6JtFqtba

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left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Running Time</span></d=iv> <div v:shape=3D"_x0000_s95235" class=3DB><span style=3D'position:absolute; top:30.0%;left:9.73%;width:97.56%;height:6.0%'><span style=3D'font-size:88=%'><span class=3DBB style=3D'position:absolute;left:-3.83%;top:.3em'>&uml;</span></=span><span lang=3DDA style=3D'font-size:88%'>The range of candidate items to be searc=hed is </span></span><span style=3D'position:absolute;top:36.25%;left:9.73%;width:96.62%;height:6.0%'=><span lang=3DDA style=3D'font-size:88%'>halved after comparing the key with the =middle </span></span><span style=3D'position:absolute;top:42.25%;left:9.73%;width:84.45%;height:6.0%'=><span lang=3DDA style=3D'font-size:88%'>element&#13;</span></span><span style=3D'position:absolute;top:49.75%;left:9.73%;width:94.0%;height:6.0%'>=<span style=3D'font-size:88%'><span class=3DBB style=3D'position:absolute;left:-=3.98%; top:.3em'>&uml;</span></span><span lang=3DDA style=3D'font-size:88%'>Binar=y search runs in </span><span lang=3DDA style=3D'font-size:88%'><i>O</i></span><span lang=3DDA style=3D'font-size:88%'>(lg </span><span lang=3DDA style=3D'font=-size:88%'><i>n</i></span><span lang=3DDA style=3D'font-size:88%'>) time (remember </span></span><span style=3D'position:absolute;top:56.0%;left:9.73%;width:84.45%;height:6.0%'>=<span lang=3DDA style=3D'font-size:88%'>recurrence...) &#13;</span></span> <div style=3D'position:absolute;top:63.5%;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 lang=3DDA style=3D'font-size:88%'>What =about insertion and deletion?</span></span></div> </div></p:slide></div>

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<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:\2687A098\lec8_files\slide0089.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: Binary Search Trees"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

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<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_s96258" type==3D"#_x0000_m132110"

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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_s96259" type==3D"#_x0000_m132111" style=3D'position:absolute;left:24pt;top:108pt;width:9in;height:258pt' 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_s96258" class=3DT style=3D'position:absolute;top:9.=5%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Binary Search Trees</s=pan></div> <div v:shape=3D"_x0000_s96259"> <div class=3DB style=3D'position:absolute;top:21.0%;left:4.3%;width:102.05=%; height:6.0%'><span style=3D'position:absolute;top:0%;left:3.66%;width:96.3=3%; height:100.0%'><span style=3D'font-size:88%'><span class=3DBB style=3D'pos=ition: absolute;left:-3.8%;top:.3em'>&uml;</span></span><span lang=3DEN-GB style=3D'font-size:88%'>A binary search tree is a binary tree T such that<=/span><span style=3D'font-size:88%'> &#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:28.25%;left:9.36%;width:97.=56%; height:5.25%'><span style=3D'position:absolute;top:0%;left:3.26%;width:96.=92%; height:100.0%'><span style=3D'font-size:86%'><span class=3DB1B style=3D'po=sition: absolute;left:-3.36%;top:.3em'>&uml;</span></span><span lang=3DEN-GB style=3D'font-size:86%'>each internal node stores an item (</span><span lang=3DEN-GB style=3D'font-size:86%'><i>k</i></span><span lang=3DEN-GB style=3D'font-size:86%'>,</span><span lang=3DEN-GB style=3D'font-size:86%'=><i>e</i></span><span lang=3DEN-GB style=3D'font-size:86%'>) of a</span><span style=3D'font-size=:86%'> </span><span lang=3DEN-GB style=3D'font-size:86%'>dictionary&#13;</span></span></div> <div class=3DB1><span style=3D'position:absolute;top:34.75%;left:12.54%; width:94.0%;height:5.25%'><span style=3D'font-size:86%'><span class=3DB1B style=3D'position:absolute;left:-3.38%;top:.3em'>&uml;</span></span><span lang=3DEN-GB style=3D'font-size:86%'>keys stored at nodes in the </span><s=pan lang=3DEN-GB style=3D'font-size:86%'><b>left subtree</b></span><span lang==3DEN-GB style=3D'font-size:86%'> of </span><span lang=3DEN-GB style=3D'font-size:8=6%'><i>v</i></span><span lang=3DEN-GB style=3D'font-size:86%'> are </span><span lang=3DEN-GB style=3D'font-size:86%'><b>less</b></span><span style=3D'font-size:86%'><b=> </b></span></span><span style=3D'position:absolute;top:40.0%;left:12.54%;width:79.96%;height:5.25%='><span lang=3DEN-GB style=3D'font-size:86%'><b>than or equal </b></span><span lan=g=3DEN-GB style=3D'font-size:86%'>to </span><span lang=3DEN-GB style=3D'font-size:86=%'><i>k</i></span><span style=3D'font-size:86%;display:none'><i>&#13;</i></span></span></div> <div class=3DB1><span style=3D'position:absolute;top:46.25%;left:12.54%; width:88.2%;height:5.25%'><span style=3D'font-size:86%'><span class=3DB1B

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style=3D'position:absolute;left:-3.6%;top:.3em'>&uml;</span></span><span style=3D'font-size:86%'>k</span><span lang=3DEN-GB style=3D'font-size:86%'=>eys stored at nodes in the </span><span lang=3DEN-GB style=3D'font-size:86%'><=b>right subtree</b></span><span lang=3DEN-GB style=3D'font-size:86%'> of </span><s=pan lang=3DEN-GB style=3D'font-size:86%'><i>v</i></span><span lang=3DEN-GB style=3D'font-size:86%'> </span><span lang=3DEN-GB style=3D'font-size:86%'=><b>are</b></span><span style=3D'font-size:86%'><b> </b></span></span><span style=3D'position:abso=lute; top:51.75%;left:12.54%;width:79.96%;height:5.25%'><span lang=3DEN-GB style=3D'font-size:86%'><b>greater than or equal </b></span><span lang=3DE=N-GB style=3D'font-size:86%'>to </span><span lang=3DEN-GB style=3D'font-size:86=%'><i>k</i></span><span style=3D'font-size:86%;display:none'><i>&#13;</i></span></span></div> <div class=3DB style=3D'position:absolute;top:58.25%;left:4.3%;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 style=3D'font-size=:88%'>Example sequence 2,3,5,5,7,8</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_s96260" type=3D"#_x0000_t75" style=3D'=position:absolute; left:152.125pt;top:358.875pt;width:488.375pt;height:181.125pt' 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"slide0089_image008.png" o:title=3D""/> <v:shadow color=3D"#00007d [2]"/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"MSPhotoEd.3" ShapeID=3D"_x0000_s96260" DrawAspect=3D"Content" ObjectID=3D"67"> <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_s96260" src=3D"slide0089_im=age009.gif"

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jMABgZT9cY7jUXcgQIBASgFzakpNZfURkEw00Jti4VJXq0v2nnKCacBjEwKtBPr2z7mNx1Y4NiZAgEBLAXNqSzCbJxeQTOwgnXLh0jah6DuhJO9dCiRwhECX/jqn8Sj4BAgQGFPAnDqmtmOtC/wPjvwF4mHvzUlivdbxd+t/H89apHreIn8dNZyrwGY/3ezHm+3KIZGYq7V6EyBQvsBc59Rda5zyIzf/FkomdnxzOtRbm9p2nW2DTRLRVtH2OQo0OQHmlEg48eXYi9SJAIFaoMmcSotASgHJxCGaOS1etn1D60pEymGgrBwE5nQClFDk0GPUgQCBowSOmlNzW+OYU+fdlyUTM4rf5mBzO9OMgqeqjQW2nQBzuULYuBE2JECAQCYC2+bUTKqmGoUISCa2BDK3jH2zipKIQkafZhwpkHs/902aDkyAwJwE1ufUHL+gMafOqTcdrKtkYmaxM9hmFjDV7SWQe2Lfq3F2JkCAAAECBQhIJjaCaPFSQK/WBAIECBAgQOBvArmvcXxhOs9OK5mYZ9zUmgCBDASc+DIIgioQIECAwKQCfrRuwCsTz549q54/f159+vSpOn/+fHXr1q0kwe7yq9hJDqwQAiMKpPwG7cGDB4fWvO+4NB5H7BQORYBAL4HU8+rLly+r48ePVxcvXqwuXbrUq271zubUJIyjFiKZGCiZePLkySqRiCTi999/r968eVPdvHmzunPnTpIAG2xJGBWSsUCqk967d++qr7/+emtL4wT466+/9lIwFnvx2ZkAgREFUs2r9Vrm9OnT1f3791dfmv7yyy9JEgpz6ogdItGhJBMDJBOxeIlEYv0bz8jY379/X/373/9OEjqDLQmjQjIWSHXSu3fvXnX27Nm/neS+++67VbJ/7dq1XgrGYi8+OxMgMJJAqjk1viyNOfXMmTOrmsea5/Lly6v5tO+XM65OjNQZEh/GMxOJQaO4U6dO/e2WpitXrqwuBfoQIDCuQIy9zcvvHz9+XCX8cWXChwABAgSaC8QXMHUiUa95IrmwxmluWNqWkom1iKbK2rd1krdv31a3b98urf9oD4HsBdZPenVl60TixIkT2ddfBQkQIJC7wIcPH6pvv/0292qq30ACkomBYNeLjQex45Pq4aQRquwQBIoWiIcG45K8DwECBAj0E4hbSa9fv766K8NnmQKSiQHjHrdSxFtkvv/+++rp06fJHr4esMqKJlC8gFucig+xBhIgMIJAPCsRz549fPiw+vHHH6t4lsJnmQKSibW4x0/Nx8OUqT5xC0U8hP3HH39UX3311SqhOOoVlamOqxwCBA4XcIuT3kGAAIH+AnElIh64fvTo0ep5iUgoXr9+3b9gJcxOQDIxQshiwD1+/Hh1pLi9wocAgekE3OI0nb0jEyBQnsCFCxequ3fvWuOUF9rGLZJMNKbqt2FcpYh7tL3toJ+jvQn0EXCLUx89+xIgMGeB1HdfrFukfCbU67bn18skEyPGLN52kOKhTwNtxKA5VFECbnEqKpwaQ4BAJgLxRU18vG47k4CMXA3JxADgMahevHhxoOT6//v+QNYA1VUkgSwFhvgWzS1OWYZapQgQmJFAPHi9+WxEPBN68+ZNb3SaURxTVtUvYG9opvitiXijQTyIdPLkyQNZeryDOcV77V2ZSDkElJWzQIrxWLcvkvxz585Vr169SjIOo1xjMefeo24ECGwKpJhT79y5s3qhTLxYJn4UNO66+Mc//vG3H+vtqm9e7So33X6SiS32KQZbZO7xQ3XxiYeTUn4MtJSayspZIMVYXE8m3r9/f+CXW/u23VjsK2h/AgTGFkgxr8aViTqJ2PbDoF3bZE7tKjftfpKJgZKJocJqoA0lq9xcBVKc+IZqm/E4lKxyCRAYSsCcOpTscsv1zMSW2A9xr/Zyu5iWEyhTQCJRZly1igCBaQTMqdO4pziqZCKF4khlGGgjQTtMVgKS+6zCoTIECMxcwJw68wBmWH3JxCFBMdgy7K2qRCATAYl9JoFQDQIEOgnktsYxp3YKYzY7SSaOCEVOg81Ay2bMqMgEAsbiBOgOSYAAAQIEGghIJhogTb2JRGLqCDh+DgI5JRQ5eKgDAQIE+gjkMqda4/SJYh77SiYaxCE6+lSfKY89VZsdl8BhAlOf/Jz09E0CBEoSMKeWFM3p2iKZOMI+Xp9W//UUi/r1Y67XZbru4sgEpheY6uRXj0djcfo+oAYECKQTMKems1xqSX5n4pDIry8YYqDFZvWf7e/vD95f1r8B3VaXwSvgAAQyFxjrXel1EhHzgLGYeadQPQIEOguMNadGBbetceq1VucG2HEyAcnEFvpdC4YhB9z6wmW9arvqNFkPcmACEwoMneBvu63JWJww4A5NgMCgAmPMqdGAzcShPq6EYtDwDla4ZGKDtulCIfWAOyyJkFAM1vcVXJDA2OOx6TxRELGmECCwIIGx59SglVDMt4NJJtZi12WBsL5P29uf1p+JaJqNd6njfLunmhNoJzDmeDQW28XG1gQIzE9gzDlVQjG//lHXWDLxH4kUC4O2D2Y2TSA2u1eKus63y6o5gWYCY4xHY7FZLGxFgMD8BcaYUyUU8+wnkom1S2sRwq4L/LHDbxEztrjjEdguYCzqGQQIEEgr4JantJ5Dl7b4V8POdSGwnvS0/bZg6E6lfAJLEjAWlxRtbSVAYAyBzbdojnFMx+gusOhkYq6JRB1ui5juHd+eBFIKGIspNZVFgACB/94p4gvT/HvDYpOJuScSEor8B5caLktAQrGseGstAQLDC7hCMbxxiiMsMpkoJZGQUKQYAsogkE5AQpHOUkkECBAIAQlF/v1gcclEaYmEhCL/QaaGyxKQUCwr3lpLgMDwAhKK4Y37HGFRyUSpiYSEos8QsC+B9AISivSmSiRAYNkCEop847+YZKL0REJCke8gU7NlCkgolhl3rSZAYDgBCcVwtn1KXkQysZREQkLRZyjYl0B6AQlFelMlEiCwbAEJRX7xLz6ZWFoiIaHIb5Cp0bIFJBTLjr/WEyCQXkBCkd60T4lFJxNLTSQkFH2GhH0JpBeQUKQ3VSIBAssWkFDkE/9ik4mlJxISinwGmZoQCAEJhX5AgACBtAISirSeXUsrMpmQSBzsDhYxXYeH/QikFTAW03oqjQABAhKK6ftAccmERGJ7p7KImX6wqQEBVyj0AQIECKQXkFCkN21T4rG/AtBm+87bri/ymxayvgBuso9EYrdSX6O2cWwbw90tsAWBMgTGHoubiUwZilpBgACB/wrU82qXtUfb9Y05dc19yGRiPTD7+/ut+/ve3t5qnyadou+JuXXlZrxDW6s+caxj2DSOM2ZVdQKtBcYci1E547F1iOxAgMDMBNomFPX2fdapS1/jDHJlok9gtvXZXUlF2xPyzMbFINVtYjZ2HAdpqEIJZC7QZCxGE2K7Lie7w5q/a17NnE31CBAgcKhAk4TCGiddB0qeTKQ+4a03ddvJr+mJOB1ZOSUdZpd6gG2KWcSU04e0JI3AUfPYGOOxydXfNC1VCgECBMYROCyhGGNOXdqVimTJxNDB2Uwq4uQnkeg/IDcNh0wGtyUVFjH9Y6iEMgS2zWdjjUcJfhl9SCsIEDgosJlQjDWnRi1iXl3KGidJMjFmcOpu4t7fdFNGn2ci+tZiSYOtr5X9yxdYH4vR2pS3NTXRMx6bKNmGAIE5CVjjDB+t3q+GnSKRWD/JLiXrG7Ir1IZjL1zqOG4uoIZsq7IJ5CywPp8ZjzlHSt0IEJiLgDXO8JHqlUxMlUjULHGytRDt30nEsb+hEgikFJgikTCvpoygsggQyEXAGmf4SPRKJoav3u4jSCh2Gx21xdSDzAKmX/zsXZZALuOxLFWtIUBgqQK5zKmlr1U7JxO5BCgGSOlBWuokoN0EliRgTl1StLWVAIGhBXKaU4du69Tld0omBGjqsKU5fm5xlBSmiatSCKQQMB5TKCqDAAEC/y9Q8pzaKZnIsWOUHKQcvYeqkzgOJavcnAVyS+xztlI3AgQI7BIwp+4SSvv3rZMJAUobgKlKE8ep5B2XwHwEJPfziZWaEiCQv0Cpc2rrZCLnUJUapJzN1Y0AgX4CEvt+fvYmQIDAuoA5dfz+UFQyMT7fPI+Y+0CTFM6zX6k1AQIECBAgcLRAiWucVslE7otQHZgAAQIE0gqUeOJLK6Q0AgQILFvg2F+/DNhYIGUy8eTJk+rly5erY58/f766du1a43rs2nBvb6/yy9iHK6WMYxzlwYMHBw528uTJ6tKlS7vCdOTfi2EvPjvPRCDlWHz37l31/PnzLy1PMQ7rwozHmXQo1SRAYPVjxil++HNzbbNOe+vWrV7Spc2pkyQT9+7dq54+fVqdPXu2evv2bfX+/fvq6tWrVfx5ik9pQUphsl5GqoEWZb548aK6cePGgSo+evSounDhQu9qi2NvQgVkLpBqLL5+/br64YcfqsePH1cnTpxYtfq7775bzbF9T3pRlrGYeUdSPQIEVgKp5tT4cubrr7/eqnrx4sXq119/7SVe2pza6janXnL/2TkC9OnTp+qPP/6ofvvtt9ViNAITycWzZ89SHEIZRwikGmj1ISJur169Wr0/uf4nRSIhiAQINBe4f/9+deXKlS+JROwZX9DEn/sQIECAQDuBf/3rX9Uvv/xyYG0Ta5xYr8bdND4HBUZPJv7888/q9u3bB0568f/xiSsUPvMRiETQhwCB6QXiC5r6ttG6NvFnx48fn75yakCAAIGZCcSXM5u3a3/8+HF1K2kkFH0/pT2LNnoyEcGpL8PXwTh16tTqP534+nbPcfd/+PDhamCdO3euunPnThVXnXwIEBhfIE5ukUzEOKw/cVXi22+/Hb8yjkiAAIGZC5w5

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<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"../lec8.htm">

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<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:\2687A098\lec8_files\slide0090.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: Searching a BST"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

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<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

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href=3D"master12.xml#_x0000_s132112"/><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s97282" 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_s97283" type==3D"#_x0000_m132111" style=3D'position:absolute;left:44.875pt;top:327.375pt;width:658.125pt; height:186.375pt' 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_s97282" class=3DT style=3D'position:absolute;top:9.=5%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Searching a BST</span>=</div> <div v:shape=3D"_x0000_s97283"> <div class=3DB style=3D'position:absolute;top:61.75%;left:7.3%;width:98.31=%; height:6.75%'><span style=3D'position:absolute;top:0%;left:3.8%;width:96.1=9%; height:100.0%'><span class=3DBB style=3D'position:absolute;left:-3.96%;top=:.3em'>&uml;</span><span lang=3DDA>To find an element with key </span><span lang=3DDA><i>k</i></spa=n><span lang=3DDA> in a tree </span><span lang=3DDA><i>T</i></span><span lang=3DDA style=3D'display:none'>&#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:70.0%;left:12.17%;width:84.=64%; height:6.0%'><span style=3D'position:absolute;top:0%;left:3.76%;width:96.2=3%; height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-3.9%;top=:.3em'>&uml;</span><span lang=3DDA>compare </span><span lang=3DDA><i>k</i></span><span lang=3DDA> w=ith key[root[</span><span lang=3DDA><i>T</i></span><span lang=3DDA>]]&#13;</sp=an></span></div> <div class=3DB1 style=3D'position:absolute;top:77.5%;left:12.17%;width:93.=44%; height:6.0%'><span style=3D'position:absolute;top:0%;left:3.4%;width:96.79=%; height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-3.51%; top:.3em'>&uml;</span><span lang=3DDA>if </span><span lang=3DDA><i>k </i><=/span><span lang=3DDA>&lt; key[root[</span><span lang=3DDA><i>T</i></span><span lang==3DDA>]], search for </span><span lang=3DDA><i>k</i></span><span lang=3DDA> in left[=root[</span><span lang=3DDA><i>T</i></span><span lang=3DDA>]]&#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:85.0%;left:12.17%;width:84.=64%; height:6.0%'><span style=3D'position:absolute;top:0%;left:3.76%;width:96.2=3%; height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-3.9%;top=:.3em'>&uml;</span><span lang=3DDA>otherwise, search for </span><span lang=3DDA><i>k</i></span><span lang=3DDA> in right[root[</span><span lang=3DDA><i>T</i></span><span lang==3DDA>]]&#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:92.5%;left:12.17%;width:84.=

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64%; height:6.0%'><span style=3D'position:absolute;top:0%;left:3.76%;width:96.2=3%; height:100.0%'><span style=3D'visibility:hidden'><span class=3DB1B style=3D'position:absolute;left:-3.9%'>&uml;</span></span><span lang=3DDA style=3D'mso-special-format:lastCR;display:none'>&#13;</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_s97284" type=3D"#_x0000_t75" style=3D'=position:absolute; left:168pt;top:128.75pt;width:370.375pt;height:202.125pt' 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"slide0090_image010.png" o:title=3D""/> <v:shadow color=3D"#00007d [2]"/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"MSPhotoEd.3" ShapeID=3D"_x0000_s97284" DrawAspect=3D"Content" ObjectID=3D"68"> <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_s97284" src=3D"slide0090_im=age011.gif" style=3D'position:absolute;top:23.75%;left:23.4%;width:51.49%;height:37.5%='><![endif]></p:slide></div>

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<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"../lec8.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:\2687A098\lec8_files\slide0091.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: Pseudocode for BST Search"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

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<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_m132111"/><v:shape id=3D"_x0000_s98306" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:102pt;width:294pt;height:56.375p=t' 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><p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s98307" 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_s98308" sty=le=3D'position:absolute; left:258pt;top:150pt;width:406.875pt;height:161pt' 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><v:rect id=3D"_x0000_s98309" style=3D'position:absolute;left:264p=t;top:348pt; width:406.875pt;height:161pt' 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><v:rect id=3D"_x0000_s98310" style=3D'position:absolute;left:36pt=;top:300pt; width:327.125pt;height:65.25pt' filled=3D"f" fillcolor=3D"#99f [4]" strok=ed=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> </v:rect> <div v:shape=3D"_x0000_s98306" class=3DB style=3D'position:absolute;top:20=.0%; left:5.99%;width:41.19%;height:6.0%'><span style=3D'position:absolute;

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top:0%;left:9.09%;width:90.9%;height:100.0%'><span style=3D'font-size:88%'=><span class=3DBB style=3D'position:absolute;left:-10.0%;top:.3em'>&uml;</span></=span><span lang=3DDA style=3D'font-size:88%'>Recursive version</span></span></div> <div v:shape=3D"_x0000_s98307" class=3DT style=3D'position:absolute;top:8.=75%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Pseudocode for BST Sea=rch</span></div> <div v:shape=3D"_x0000_s98308" class=3DO style=3D'tab-stops:.25in .4722in =.7083in .9444in 1.1805in 1.4166in 1.6527in 1.8906in 2.1267in 2.3628in 2.598=9in'> <div style=3D'text-align:justify;position:absolute;top:28.75%;left:36.89%; width:18.53%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New";font-size:83%'><b>Search</b></span><sp=an 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%'>(T,k)&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:32.5%;left:36.89%; width:22.09%;height:4.5%'><nobr><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";font-size:75%'>01</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"; font-size:75%'>&nbsp;</span><span lang=3DDA style=3D'font-family:"Courier =New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>x </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> root[T]</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";font-size:75%;display:none'>&#13;</spa=n></nobr></div> <div style=3D'text-align:justify;position:absolute;top:37.0%;left:36.89%; width:43.44%;height:4.0%'><nobr><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";font-size:75%'>02</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"; font-size:75%'>&nbsp;</span><span style=3D'font-family:"Courier New";mso-a=scii-font-family: "Courier New";mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Co=urier 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"; mso-hansi-font-family:"Courier New";font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>x =3D NIL </span><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'><b>then</b></span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New";

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font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'><b>return</b></span><sp=an lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> NIL</span><span style=3D'font-family:"Courier New";mso-asc=ii-font-family: "Courier New";mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Co=urier New"; font-size:75%;display:none'>&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:41.0%;left:36.89%; width:44.94%;height:4.0%'><nobr><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";font-size:75%'>0</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>3</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";font-size:75%'>&nbsp;</span><span style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-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";mso-hansi-font-family:"Courier New"; font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>k =3D key[x] </span><sp=an lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>then</b></span><span lang=3DDA style=3D'font-family:"Cou=rier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>return</b></span><span lang=3DDA style=3D'font-family:"C=ourier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> x</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"; font-size:75%;display:none'>&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:45.0%;left:36.89%; width:23.97%;height:4.0%'><nobr><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";font-size:75%'>0</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>4</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";font-size:75%'>&nbsp;</span><span style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-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";mso-hansi-font-family:"Courier New"; font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New";

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mso-hansi-font-family:"Courier New";font-size:75%'>k &lt; key[x] &#13;</sp=an></nobr></div> <div style=3D'text-align:justify;position:absolute;top:49.0%;left:36.89%; width:50.93%;height:4.0%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>05<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span></span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>then</b></span><span lang=3DDA style=3D'font-family:"Cou=rier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>return</b></span><span lang=3DDA style=3D'font-family:"C=ourier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> Search(left[x],k)</spa=n><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"; font-size:75%;display:none'>&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:53.0%;left:36.89%; width:52.43%;height:4.0%'><nobr><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";font-size:75%'>0</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>6</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";font-size:75%'>&nbsp;&nbsp; </span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>else</b></span><span lang=3DDA style=3D'font-family:"Cou=rier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>return </b></span><span lang=3DDA style=3D'font-family:"=Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>Search(right[x],k)</spa=n><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"; font-size:75%;mso-special-format:lastCR;display:none'>&#13;</span></nobr><=/div> </div> <div v:shape=3D"_x0000_s98309" class=3DO style=3D'tab-stops:.25in .4722in =.7083in .9444in 1.1805in 1.4166in 1.6527in 1.8906in 2.1267in 2.3628in 2.598=9in'> <div style=3D'text-align:justify;position:absolute;top:65.25%;left:37.64%; width:18.53%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New";font-size:83%'><b>Search</b></span><sp=an 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";

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font-size:83%'>(T,k)&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:69.25%;left:37.64%; width:22.09%;height:4.5%'><nobr><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";font-size:75%'>01</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"; font-size:75%'>&nbsp;</span><span lang=3DDA style=3D'font-family:"Courier =New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>x </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> root[T]</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";font-size:75%;display:none'>&#13;</spa=n></nobr></div> <div style=3D'text-align:justify;position:absolute;top:73.25%;left:37.64%; width:50.74%;height:4.5%'><nobr><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";font-size:75%'>02</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"; font-size:75%'>&nbsp;</span><span lang=3DDA style=3D'font-family:"Courier =New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-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";mso-hansi-font-family:"Courier New"; font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>x </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&sup1;</span><sp=an lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> NIL and k </span><span style=3D'font-family:Symbol;mso-asc=ii-font-family: Symbol;mso-bidi-font-family:"Courier New";mso-hansi-font-family:Symbol; font-size:75%'>&sup1;</span><span lang=3DDA style=3D'font-family:"Courier =New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> key[x] </span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>do</b></span><span lang=3DDA style=3D'font-family:"Couri=er New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-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";mso-hansi-font-family:"Courier New"; font-size:75%;display:none'>&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:77.75%;left:37.64%; width:26.96%;height:4.0%'><nobr><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";font-size:75%'>0</span><span lang=3DDA

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style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>3</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";font-size:75%'>&nbsp;</span><span lang=3DDA style=3D'font-fa=mily: "Courier New";mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Ti=mes New Roman"; mso-hansi-font-family:"Courier New";font-size:75%'><span style=3D'mso-spacerun:yes'>&nbsp; </span></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";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";mso-hansi-font-family:"Courier New"; font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>k &lt; key[x] &#13;</sp=an></nobr></div> <div style=3D'text-align:justify;position:absolute;top:81.25%;left:37.64%; width:35.39%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>04<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span la=ng=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>then</b></span><span lang=3DDA style=3D'font-family:"Cou=rier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> x </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> left[x]</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";font-size:75%;display:none'>&#13;</spa=n></nobr></div> <div style=3D'text-align:justify;position:absolute;top:85.25%;left:37.64%; width:36.89%;height:4.5%'><nobr><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";font-size:75%'>0</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>5</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";font-size:75%'>&nbsp;&nbsp; </span><span lang=3DDA 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:75%'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;</span></span>=<span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>else </b></span><span lang=3DDA style=3D'font-family:"Co=urier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>x </span><span

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style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> right[x]&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:89.75%;left:37.64%; width:16.66%;height:4.0%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>06 </span><span lang=3D=DA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>return</b></span><span lang=3DDA style=3D'font-family:"C=ourier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> x</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"; font-size:75%;mso-special-format:lastCR;display:none'>&#13;</span></nobr><=/div> </div> <div v:shape=3D"_x0000_s98310"> <div class=3DO1 style=3D'mso-margin-left-alt:468'></div> <div class=3DO2 style=3D'mso-margin-left-alt:720'></div> <div class=3DO3 style=3D'mso-margin-left-alt:1008'></div> <div class=3DO4 style=3D'mso-margin-left-alt:1296'></div> <div class=3DO style=3D'mso-line-spacing:"100 20 0";mso-margin-left-alt:21=6; mso-char-wrap:1;mso-kinsoku-overflow:1;position:absolute;top:56.5%;left:5.=99%; width:43.63%;height:6.0%'><span style=3D'position:absolute;top:0%;left:8.5=8%; width:91.41%;height:100.0%'><span style=3D'font-family:Arial;font-size:117=%'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-9.38%;top:.3em;font-family:Wingdings;font-size:75%'>&uml;</=span></span><span lang=3DDA style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-=font-family: Arial;mso-hansi-font-family:Arial;font-size:117%'>Iterative version</span>=</span></div> </div></p:slide></div>

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<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">

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<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"../lec8.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:\2687A098\lec8_files\slide0094.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: Analysis of Search"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

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<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=

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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_s101378" 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_s101379" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:108pt;width:9in;height:138pt' 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_s101378" class=3DT style=3D'position:absolute;top:9=.5%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Analysis of Search</sp=an></div> <div v:shape=3D"_x0000_s101379" class=3DB> <div style=3D'position:absolute;top:21.0%;left:5.99%;width:97.19%;height:6=.75%'><span style=3D'position:absolute;top:0%;left:3.85%;width:96.14%;height:100.0%'><=span class=3DBB style=3D'position:absolute;left:-4.0%;top:.3em'>&uml;</span><sp=an lang=3DDA>Running time on tree of height </span><span lang=3DDA><i>h</i></=span><span lang=3DDA> is </span><span lang=3DDA><i>O</i></span><span lang=3DDA>(</spa=n><span lang=3DDA><i>h</i></span><span lang=3DDA>)&#13;</span></span></div> <span style=3D'position:absolute;top:29.5%;left:9.73%;width:91.01%;height:=6.75%'><span class=3DBB style=3D'position:absolute;left:-4.11%;top:.3em'>&uml;</span><s=pan lang=3DDA>After the insertion of </span><span lang=3DDA><i>n</i></span><sp=an lang=3DDA> keys, the worst-</span></span><span style=3D'position:absolute; top:36.75%;left:9.73%;width:90.07%;height:6.75%'><span lang=3DDA>case runn=ing time of searching is </span><span lang=3DDA><i>O</i></span><span lang=3DDA=>(</span><span lang=3DDA><i>n</i></span><span lang=3DDA>)</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"/>

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<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"../lec8.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:\2687A098\lec8_files\slide0095.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: BST Minimum (Maximum)"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

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<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"/>

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<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" 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_s102402" 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_s102403" 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_s102404" style=3D'position:absolute;left:162pt;top:204pt;width:406.875pt;height:96=.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_s102402" class=3DT style=3D'position:absolute;top:9=.5%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>BST Minimum (Maximum)<=/span></div> <div v:shape=3D"_x0000_s102403" class=3DB> <div style=3D'position:absolute;top:30.0%;left:5.99%;width:103.37%;height:=6.75%'><span style=3D'position:absolute;top:0%;left:3.62%;width:96.37%;height:100.0%'><=span class=3DBB style=3D'position:absolute;left:-3.75%;top:.3em'>&uml;</span><s=pan lang=3DDA>Find the minimum key in a tree rooted at x &#13;</span></span></=div> <div style=3D'position:absolute;top:38.5%;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 style=3D'visibility:hidden'><span class=3DBB style=3D'position:absolute;le=ft:-4.43%'>&uml;</span></span><span

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lang=3DDA style=3D'display:none'>&#13;</span></span></div> <div style=3D'position:absolute;top:47.0%;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 style=3D'visibility:hidden'><span class=3DBB style=3D'position:absolute;le=ft:-4.43%'>&uml;</span></span><span lang=3DDA style=3D'display:none'>&#13;</span></span></div> <span style=3D'position:absolute;top:55.5%;left:9.73%;width:100.18%;height=:6.75%'><span class=3DBB style=3D'position:absolute;left:-3.73%;top:.3em'>&uml;</span><s=pan lang=3DDA>Running time </span><span lang=3DDA><i>O</i></span><span lang=3D=DA>(</span><span lang=3DDA><i>h</i></span><span lang=3DDA>), i.e., it is proportional to </=span></span><span style=3D'position:absolute;top:62.5%;left:9.73%;width:84.45%;height:6.75%'=><span lang=3DDA>the height of the tree&#13;</span></span> <div style=3D'position:absolute;top:71.25%;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 style=3D'visibility:hidden'><span class=3DBB style=3D'position:absolute;le=ft:-4.43%'>&uml;</span></span><span style=3D'mso-special-format:lastCR;display:none'>&#13;</span></span></div> </div> <div v:shape=3D"_x0000_s102404" 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:38.75%;left:23.59%; width:23.59%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New";font-size:83%'><b>TreeMinimum</b></spa=n><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%'>(x)&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:42.5%;left:23.59%; width:32.95%;height:4.5%'><nobr><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";font-size:75%'>01</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"; font-size:75%'>&nbsp;</span><span lang=3DDA 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:75%'>while left[x] </span><s=pan style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&sup1;</span><sp=an lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Times New Roman";mso-hansi-font-family:"Courier New"; font-size:75%'> NIL</span><span style=3D'font-family:"Courier New";mso-asc=ii-font-family: "Courier New";mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Co=urier New"; font-size:75%;display:none'>&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:46.5%;left:23.59%;

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width:29.58%;height:4.5%'><nobr><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";font-size:75%'>02</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"; font-size:75%'>&nbsp;</span><span lang=3DDA 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:75%'><span style=3D'mso-spacerun:yes'>&nbsp; </span>do</span><span style=3D'font-fami=ly:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>x </span><span style=3D'font-family:Symbol;mso-ascii-font-f=amily: Symbol;mso-bidi-font-family:"Courier New";mso-hansi-font-family:Symbol; font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier N=ew"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> left[x]</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"; font-size:75%;display:none'>&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:51.0%;left:23.59%; width:16.66%;height:4.0%'><nobr><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";font-size:75%'>0</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>3</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";font-size:75%'>&nbsp;</span><span lang=3DDA style=3D'font-fa=mily: "Courier New";mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Co=urier New"; mso-hansi-font-family:"Courier New";font-size:75%'><b>return </b></span><s=pan lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>x</span><span style=3D'font-family:"Courier New";mso-ascii-=font-family: "Courier New";mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Co=urier New"; font-size:75%;mso-special-format:lastCR;display:none'>&#13;</span></nobr><=/div> </div></p:slide></div>

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<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"../lec8.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:\2687A098\lec8_files\slide0096.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: Successor"><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

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<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">

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<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'>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_s103426" 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> <div v:shape=3D"_x0000_s103426" class=3DT style=3D'position:absolute;top:8=.25%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Successor</span></div> <p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_=s103427" type=3D"#_x0000_m132111" style=3D'position:absolute;left:24pt;top:96pt;wi=dth: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"/><p:animation number=3D"2" de=lay=3D"0" type=3D"text" level=3D"1" effect=3D"cut" direction=3D"noBlack"/></v:shap=e> <div v:shape=3D"_x0000_s103427"> <div id=3D"_x0000_s103427_0_65" class=3DB style=3D'mso-line-spacing:"90 20= 0"; position:absolute;top:18.25%;left:4.3%;width:93.82%;height:11.5%;white-spa=ce: nowrap'><span style=3D'position:absolute;top:0%;left:3.99%;width:96.0%; height:52.17%'><span style=3D'font-size:88%'><span style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-4.15%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span></span><span lang=3DDA style=3D'font-size:88%'>Given </span><span lang=3DDA style=3D'fo=nt-size: 88%'><i>x</i></span><span lang=3DDA style=3D'font-size:88%'>, find the nod=e with

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the smallest key </span></span><span style=3D'position:absolute;top:50.0%; left:3.99%;width:90.01%;height:52.17%'><span lang=3DDA style=3D'font-size:=88%'>greater than key[</span><span lang=3DDA style=3D'font-size:88%'><i>x</i></span><sp=an lang=3DDA style=3D'font-size:88%'>]&#13;</span></span></div> <div id=3D"_x0000_s103427_65_131" class=3DB style=3D'mso-line-spacing:"90 =20 0"; position:absolute;top:30.75%;left:4.3%;width:103.93%;height:11.5%;white-sp=ace: nowrap'><span style=3D'position:absolute;top:0%;left:3.6%;width:96.39%; height:52.17%'><span style=3D'font-size:88%'><span style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.73%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span></span><span lang=3DDA style=3D'font-size:88%'>We can distinguish two cases, depending =on the </span></span><span style=3D'position:absolute;top:47.82%;left:3.6%;width:81.26%;height:52.17%='><span lang=3DDA style=3D'font-size:88%'>right subtree of </span><span lang=3DDA style=3D'font-size:88%'><i>x</i></span><span lang=3DDA style=3D'font-size:=88%; display:none'>&#13;</span></span></div> <div id=3D"_x0000_s103427_131_138" class=3DB style=3D'mso-line-spacing:"90= 20 0"; position:absolute;top:43.25%;left:4.3%;width:88.2%;height:6.0%;white-space: nowrap'><span style=3D'position:absolute;top:0%;left:4.24%;width:95.75%; height:100.0%'><span style=3D'font-size:88%'><span style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-4.43%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span></span><span lang=3DDA style=3D'font-size:88%'>Case 1&#13;</span></span></div> <div id=3D"_x0000_s103427_138_169" class=3DB1 style=3D'mso-line-spacing:"9=0 20 0"; position:absolute;top:49.75%;left:9.36%;width:83.14%;height:5.25%;white-sp=ace: nowrap'><span style=3D'position:absolute;top:0%;left:3.82%;width:96.17%; height:100.0%'><span style=3D'font-size:86%'><span style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.98%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span></span><span lang=3DDA style=3D'font-size:86%'>right subtree of x is nonempty&#13;</spa=n></span></div> <div id=3D"_x0000_s103427_169_224" class=3DB1 style=3D'mso-line-spacing:"9=0 20 0"; position:absolute;top:55.75%;left:9.36%;width:98.68%;height:5.25%;white-sp=ace: nowrap'><span style=3D'position:absolute;top:0%;left:3.22%;width:96.77%; height:100.0%'><span style=3D'font-size:86%'><span style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.33%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span></span><span lang=3DDA style=3D'font-size:86%'>successor is leftmost node in the right =subtree (Why?)&#13;</span></span></div> <div id=3D"_x0000_s103427_224_276" class=3DB1 style=3D'mso-line-spacing:"9=0 20 0"; position:absolute;top:61.5%;left:9.36%;width:95.13%;height:5.25%;white-spa=ce: nowrap'><span style=3D'position:absolute;top:0%;left:3.34%;width:96.85%; height:100.0%'><span style=3D'font-size:86%'><span style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.45%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span></span><span

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lang=3DDA style=3D'font-size:86%'>this can be done by returning TreeMinimum(right[x])</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_s103428" type=3D"#_x0000_t75" style=3D='position:absolute; left:156pt;top:355.375pt;width:330.75pt;height:184.625pt' 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"slide0096_image018.png" o:title=3D""/> <v:shadow color=3D"#00007d [2]"/> <p:animation number=3D"8" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"17412"/></v:shape><o:OLEObject Type=3D"Emb=ed" ProgID=3D"MSPhotoEd.3" ShapeID=3D"_x0000_s103428" DrawAspect=3D"Content" ObjectID=3D"90"> <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_s103428" src=3D"slide0096_image019.gif" style=3D'position:absolute;top:65.75%;left:=21.72%; width:45.88%;height:34.25%'><![endif]></p:slide></div>

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<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"../lec8.htm"><link rel=3DPreview href=3Dpreview.wmf>

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<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:\2687A098\lec8_files\slide0097.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: Successor (2)"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

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<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=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

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href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_s104450" 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_s104451" type==3D"#_x0000_m132111" style=3D'position:absolute;left:30pt;top:102pt;width:9in;height:180pt' 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_s104450" class=3DT style=3D'position:absolute;top:8=.75%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Successor (2)</span></=div> <div v:shape=3D"_x0000_s104451"> <div class=3DB style=3D'position:absolute;top:20.0%;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'position:absolute;left:-4.43%;top=:.3em'>&uml;</span><span lang=3DDA>Case 2&#13;</span></span></div> <div class=3DB1 style=3D'position:absolute;top:28.25%;left:10.11%;width:83=.14%; height:6.0%'><span style=3D'position:absolute;top:0%;left:3.82%;width:96.1=7%; height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-3.98%; top:.3em'>&uml;</span><span lang=3DDA>the right subtree of </span><span la=ng=3DDA><i>x</i></span><span lang=3DDA> is empty&#13;</span></span></div> <div class=3DB1><span style=3D'position:absolute;top:35.75%;left:13.29%; width:91.01%;height:6.0%'><span class=3DB1B style=3D'position:absolute;lef=t:-3.49%; top:.3em'>&uml;</span><span lang=3DDA>successor is the lowest ancestor of =</span><span lang=3DDA><i>x</i></span><span lang=3DDA> whose </span></span><span style=3D'position:absolute;top:42.0%;left:13.29%;width:82.77%;height:6.0%'=><span lang=3DDA>left child is also an ancestor of </span><span lang=3DDA><i>x </=i></span><span lang=3DDA>(Why?)</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"/>

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</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_s104452" type=3D"#_x0000_t75" style=3D='position:absolute; left:208.125pt;top:297.5pt;width:374.5pt;height:228.125pt' 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"slide0097_image020.png" o:title=3D""/> <v:shadow color=3D"#00007d [2]"/> </v:shape><o:OLEObject Type=3D"Embed" ProgID=3D"MSPhotoEd.3" ShapeID=3D"_x0000_s104452" DrawAspect=3D"Content" ObjectID=3D"91"> <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_s104452" src=3D"slide0097_image021.gif" style=3D'position:absolute;top:55.0%;left:2=8.83%; width:52.05%;height:42.25%'><![endif]></p:slide></div>

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<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;

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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_m132111"/><v:shape id=3D"_x0000_s105474" type==3D"#_x0000_m132111" style=3D'position:absolute;left:36pt;top:348pt;width:9in;height:90pt' 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"/><p:animation number=3D"2" de=lay=3D"0" type=3D"text" level=3D"1" effect=3D"cut" direction=3D"noBlack"/></v:shap=e> <div id=3D"_x0000_s105474_0_49" v:shape=3D"_x0000_s105474" class=3DB style=3D'mso-line-spacing:"90 20 0";position:absolute;top:65.0%;left:5.99%; width:99.81%;height:13.25%;white-space:nowrap'><span style=3D'position:abs=olute; top:0%;left:3.75%;width:96.24%;height:50.94%'><span style=3D'mso-special-f=ormat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.89%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=For a tree of height </span><span lang=3DDA><i>h</i></span><span lang=3DDA>, the= running time is </span></span><span style=3D'position:absolute;top:47.16%;left:3.7=5%; width:84.61%;height:50.94%'><span lang=3DDA><i>O</i></span><span lang=3DDA=>(</span><span lang=3DDA><i>h</i></span><span lang=3DDA>)</span></span></div> <p:shaperange href=3D"master12.xml#_x0000_m132110"/><v:shape id=3D"_x0000_=s105475" type=3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;wi=dth: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><v:rect id=3D"_x0000_s105476" st=yle=3D'position:absolute; left:77.5pt;top:116.5pt;width:571.5pt;height:182.625pt' 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:rect> <div v:shape=3D"_x0000_s105475" class=3DT style=3D'position:absolute;top:9=.5%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Successor Pseudocode</=

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span></div> <div v:shape=3D"_x0000_s105476" 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:22.5%;left:11.79%; width:26.77%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New";font-size:83%'><b>TreeSuccessor</b></s=pan><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%'>(x)&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:26.5%;left:11.79%; width:29.96%;height:4.5%'><nobr><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";font-size:75%'>01</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"; font-size:75%'>&nbsp;</span><span lang=3DDA 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:75%'><b>if</b></span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Times New Roman";mso-hansi-font-family:"Courier New"; font-size:75%'> right[x] </span><span style=3D'font-family:Symbol;mso-asci=i-font-family: Symbol;mso-bidi-font-family:"Courier New";mso-hansi-font-family:Symbol; font-size:75%'>&sup1;</span><span lang=3DDA 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:75%'> NIL</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"; font-size:75%;display:none'>&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:30.75%;left:11.79%; width:56.92%;height:4.0%'><nobr><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";font-size:75%'>02</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"; font-size:75%'>&nbsp;</span><span lang=3DDA 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:75%'><span style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DDA style=3D'f=ont-family: "Courier New";mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Ti=mes New Roman"; mso-hansi-font-family:"Courier New";font-size:75%'><b>then return</b></spa=n><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Times New Roman";mso-hansi-font-family:"Courier New"; font-size:75%'> TreeMinimum(right</span><span lang=3DDA style=3D'font-fami=ly:"Courier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>[x])&#13;</span></nobr>=</div> <div style=3D'text-align:justify;position:absolute;top:34.5%;left:11.79%; width:17.6%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Couri=er New";

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mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>03 y </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> p[x]&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:38.5%;left:11.79%; width:49.25%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>04 </span><span lang=3D=DA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>while</b></span><span lang=3DDA style=3D'font-family:"Co=urier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> y </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&sup1;</span><sp=an lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Times New Roman";mso-hansi-font-family:"Courier New"; font-size:75%'> NIL and x =3D right[y]&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:42.5%;left:11.79%; width:16.1%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Couri=er New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New";font-size:75%'>05<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span>x </span><span style=3D'fon=t-family: Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-family:"Courier New"; mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA 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:75%'> y&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:46.5%;left:11.79%; width:20.59%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>06<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span>y </span><span style=3D'fon=t-family: Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-family:"Courier New"; mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA 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:75%'> p[y]</span><span style=3D'font-family:"Courier New";mso-as=cii-font-family: "Courier New";mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Co=urier New"; font-size:75%;display:none'>&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:51.0%;left:11.79%; width:16.66%;height:4.0%'><nobr><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";font-size:75%'>0</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>3</span><span style=3D'font-family:"Courier New";mso-ascii-=

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font-family: "Courier New";mso-bidi-font-family:"Times New Roman";mso-hansi-font-family: "Courier New";font-size:75%'>&nbsp;</span><span lang=3DDA style=3D'font-fa=mily: "Courier New";mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Co=urier New"; mso-hansi-font-family:"Courier New";font-size:75%'><b>return </b></span><s=pan lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'>y</span><span style=3D'font-family:"Courier New";mso-ascii-=font-family: "Courier New";mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Co=urier New"; font-size:75%;mso-special-format:lastCR;display:none'>&#13;</span></nobr><=/div> </div></p:slide></div>

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<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 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%;

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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_s106498" 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_s106499" type==3D"#_x0000_m132111" style=3D'position:absolute;left:30pt;top:120pt;width:9in;height:336pt' 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_s106498" class=3DT style=3D'position:absolute;top:8=.75%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>BST Insertion</span></=div> <div v:shape=3D"_x0000_s106499"> <div class=3DB style=3D'mso-line-spacing:"90 20 0";position:absolute;top:2=2.75%; left:5.24%;width:91.19%;height:6.75%'><span style=3D'position:absolute; top:0%;left:4.1%;width:95.89%;height:100.0%'><span style=3D'mso-special-fo=rmat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-4.28%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=The basic idea is similar to searching&#13;</span></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positi=on:absolute; top:30.25%;left:13.29%;width:80.52%;height:6.0%'><span style=3D'mso-specia=l-format: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.95%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=take an element </span><span lang=3DDA><i>z</i></span><span lang=3DDA> (whose l=eft and right </span></span><span style=3D'position:absolute;top:36.0%;left:13.29%; width:79.96%;height:6.0%'><span lang=3DDA>children are NIL) and insert it into<span style=3D'mso-spacerun:yes'>&nbsp; </span></span><span lang=3DDA>=<i>T&#13;</i></span></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positi=on:absolute; top:42.75%;left:13.29%;width:79.96%;height:6.0%'><span style=3D'mso-specia=l-format: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.98%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=find<span style=3D'mso-spacerun:yes'>&nbsp; </span>place in </span><span lang=3DDA><=i>T</i></span><span lang=3DDA> where </span><span lang=3DDA><i>z</i></span><span lang=3DDA> be=longs (as if </span></span><span style=3D'position:absolute;top:48.5%;left:13.29%; width:79.96%;height:6.0%'><span lang=3DDA>searching for </span><span lang==3DDA><i>z</i></span><span lang=3DDA>), &#13;</span></span></div> <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=55.25%; left:10.11%;width:83.14%;height:6.0%'><span style=3D'position:absolute; top:0%;left:3.82%;width:96.17%;height:100.0%'><span style=3D'mso-special-f=

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ormat: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.98%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=and add </span><span lang=3DDA><i>z</i></span><span lang=3DDA> there&#13;</spa=n></span></div> <div class=3DB style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positio=n:absolute; top:62.25%;left:8.98%;width:96.44%;height:6.75%'><span style=3D'mso-specia=l-format: bullet;color:#9999CC;mso-color-index:5;position:absolute;left:-3.88%; top:.3em;font-family:Wingdings;font-size:75%'>&uml;</span><span lang=3DDA>=The running on a tree of height </span><span lang=3DDA><i>h</i></span><span la=ng=3DDA> is </span><span lang=3DDA><i>O</i></span><span lang=3DDA>(</span><span lan=g=3DDA><i>h</i></span><span lang=3DDA>), </span></span><span style=3D'position:absolute;top:68.75%;lef=t:8.98%; width:93.44%;height:6.75%'><span lang=3DDA>i.e., it is proportional to the height of the </span></span><span style=3D'position:absolute;top:75.0%; left:8.98%;width:84.45%;height:6.75%'><span lang=3DDA>tree</span><span style=3D'mso-special-format:lastCR;display:none'>&#13;</span></span></div> </div></p:slide></div>

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=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" stroked=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"f"/> <v:imagedata src=3D"slide0101_image022.png" o:title=3D""/> <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" text=3D"t"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape><o:OLEObject Type==3D"Embed" ProgID=3D"MSPhotoEd.3" ShapeID=3D"_x0000_s108547" DrawAspect=3D"Content" ObjectID=3D"92"> <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_s108547" src=3D"slide0101_image023.gif" style=3D'position:absolute;top:35.5%;left:1=4.23%; width:68.72%;height:36.5%'><![endif]><p:shaperange href=3D"master12.xml#_x0000_m132111"/><v:shape id=3D"_x0000_s108548" 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_s108548" class=3DB style=3D'position:absolute;top:3=0.0%; 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'po=sition: absolute;left:-4.43%;top:.3em'>&uml;</span><span lang=3DDA>Insert 8</span>=</span></div></p:slide></div>

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<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"../lec8.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:\2687A098\lec8_files\slide0100.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: BST Insertion Pseudo Code"><link rel=3DStylesheet href=3D"master12_stylesheet.css"><![if !ppt]><style media=3Dprint><!--.sld

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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_s107522" 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><v:rect id=3D"_x0000_s107523" st=yle=3D'position:absolute; left:70.75pt;top:139.125pt;width:406.875pt;height:312.375pt' 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:rect> <div v:shape=3D"_x0000_s107522" class=3DT style=3D'position:absolute;top:1=2.75%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>BST Insertion Pseudo C=ode</span></div> <div v:shape=3D"_x0000_s107523" 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:26.5%;left:10.86%; width:25.09%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Times New Roman"; mso-hansi-font-family:"Courier New";font-size:83%'><b>TreeInsert</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%'>(T,</span><span lang=3DDA 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%'>z</span><span lang=3DEN=-GB 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%'>)&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:30.5%;left:10.86%; width:16.1%;height:4.5%'><nobr><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";font-size:75%'>01</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"; font-size:75%'>&nbsp;</span><span lang=3DDA style=3D'font-family:"Courier =New";

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mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>y </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> NIL&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:34.5%;left:10.86%; width:22.09%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>02 x </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> root[T]&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:38.5%;left:10.86%; width:23.97%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%;color:red'>03 </span><sp=an lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%;color:red'><b>while</b></span><span lang=3DDA style=3D'font-=family: "Courier New";mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Co=urier New"; mso-hansi-font-family:"Courier New";font-size:75%;color:red'> x </span><sp=an style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%;color:red'>&sup1;=</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%;color:red'> NIL&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:42.5%;left:10.86%; width:16.1%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Couri=er New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%;color:red'>04<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span>y </span><span style=3D'fon=t-family: Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-family:"Courier New"; mso-hansi-font-family:Symbol;font-size:75%;color:red'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%;color:red'> x&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:47.0%;left:10.86%; width:34.45%;height:4.0%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%;color:red'>05<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span></span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New";

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mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%;color:red'><b>if</b></span><span lang=3DDA style=3D'font-fam=ily: "Courier New";mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Co=urier New"; mso-hansi-font-family:"Courier New";font-size:75%;color:red'> key[z] &lt; key[x]&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:50.75%;left:10.86%; width:35.39%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%;color:red'>06<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span la=ng=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%;color:red'><b>then</b></span><span lang=3DDA style=3D'font-f=amily: "Courier New";mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Co=urier New"; mso-hansi-font-family:"Courier New";font-size:75%;color:red'> x </span><sp=an style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%;color:red'>&not;<=/span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%;color:red'> left[x]&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:54.75%;left:10.86%; width:36.89%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%;color:red'>07<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span la=ng=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%;color:red'><b>else</b></span><span lang=3DDA style=3D'font-f=amily: "Courier New";mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Co=urier New"; mso-hansi-font-family:"Courier New";font-size:75%;color:red'> x </span><sp=an style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%;color:red'>&not;<=/span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%;color:red'> right[x]&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:58.75%;left:10.86%; width:17.6%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Couri=er New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>08 p[z] </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New";

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font-size:75%'> y&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:63.0%;left:10.86%; width:19.66%;height:4.0%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>09 </span><span lang=3D=DA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>if</b></span><span lang=3DDA style=3D'font-family:"Couri=er New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> y =3D NIL&#13;</span><=/nobr></div> <div style=3D'text-align:justify;position:absolute;top:66.75%;left:10.86%; width:32.58%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>10<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span></span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>then</b></span><span lang=3DDA style=3D'font-family:"Cou=rier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> root[T] </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> z&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:71.0%;left:10.86%; width:41.94%;height:4.0%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>11<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span></span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>else</b></span><span lang=3DDA style=3D'font-family:"Cou=rier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> </span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>if</b></span><span lang=3DDA style=3D'font-family:"Couri=er New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> key[z] &lt; key[y]&#13=;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:74.75%;left:10.86%; width:35.39%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>12<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span la=ng=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>then</b></span><span lang=3DDA style=3D'font-family:"Cou=rier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New";

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mso-hansi-font-family:"Courier New";font-size:75%'> left[y] </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> z&#13;</span></nobr></div> <div style=3D'text-align:justify;position:absolute;top:78.75%;left:10.86%; width:36.89%;height:4.5%'><nobr><span lang=3DDA style=3D'font-family:"Cour=ier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'>13<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span la=ng=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courier New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'><b>else</b></span><span lang=3DDA style=3D'font-family:"Cou=rier New"; mso-ascii-font-family:"Courier New";mso-bidi-font-family:"Courier New"; mso-hansi-font-family:"Courier New";font-size:75%'> right[y] </span><span style=3D'font-family:Symbol;mso-ascii-font-family:Symbol;mso-bidi-font-fam=ily: "Courier New";mso-hansi-font-family:Symbol;font-size:75%'>&not;</span><span lang=3DDA style=3D'font-family:"Courier New";mso-ascii-font-family:"Courie=r New"; mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Courier New"; font-size:75%'> z</span><span style=3D'font-family:"Courier New";mso-ascii=-font-family: "Courier New";mso-bidi-font-family:"Courier New";mso-hansi-font-family:"Co=urier New"; font-size:75%;mso-special-format:lastCR;display:none'>&#13;</span></nobr><=/div> </div></p:slide></div>

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<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>

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</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_s109570" type==3D"#_x0000_m132110" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:84pt' 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_s109571" type==3D"#_x0000_m132111" style=3D'position:absolute;left:30pt;top:126pt;width:9in;height:120pt' 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_s109570" class=3DT style=3D'position:absolute;top:1=0.5%; left:5.99%;width:88.2%;height:8.5%'>BST Insertion: Worst Case</div> <div v:shape=3D"_x0000_s109571" class=3DB><span style=3D'position:absolute; top:24.5%;left:8.98%;width:90.82%;height:6.75%'><span class=3DBB style=3D'position:absolute;left:-4.12%;top:.3em'>&uml;</span>In what seque=nce should insertions be </span><span style=3D'position:absolute;top:31.5%; left:8.98%;width:85.76%;height:6.75%'>made to produce a BST of height <i>n=</i>?</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_s109572" type=3D"#_x0000_t75" style=3D='position:absolute; left:234.75pt;top:243.625pt;width:268.75pt;height:262.625pt' 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"/>

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

------=_NextPart_01C50927.67431030Content-Location: file:///C:/2687A098/lec8_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") )

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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(){

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 }

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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) ) )

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]) )

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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;}

}}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 &&

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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 ==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=3D18, 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("slide0045.htm",1,-1,1),new hrefList(="slide0086.htm",1,-1,1),new hrefList("slide0087.htm",1,-1,1),new hrefList("=slide0088.htm",1,-1,1),new hrefList("slide0089.htm",1,-1,1),new hrefList("s=lide0090.htm",1,-1,1),new hrefList("slide0092.htm",1,-1,1),new hrefList("sl=ide0093.htm",1,-1,1),new hrefList("slide0091.htm",1,-1,1),new hrefList("sli=de0094.htm",1,-1,1),new hrefList("slide0095.htm",1,-1,1),new hrefList("slid=e0096.htm",1,-1,1),new hrefList("slide0097.htm",1,-1,1),new hrefList("slide=0098.htm",1,-1,1),new hrefList("slide0099.htm",1,-1,1),new hrefList("slide0=101.htm",1,-1,1),new hrefList("slide0100.htm",1,-1,1),new hrefList("slide01=02.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)else

Page 146: Lec8

return 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=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_origW

Page 147: Lec8

win =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 )

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=3D1

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GoToSldNum(ii)return

}}else {

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

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

GoToSldNum(ii)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() ) {

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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;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]= }

Page 150: Lec8

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 )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 )

Page 151: Lec8

obj.style.posTop=3D0}

}function _IBSetP(){

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

}}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 _TBSetD

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t.SetEnabled =3D _TBSetEt.GetState =3D chkStatet.UserAction =3D actiont.ChgState =3D _TBUIt.mObjId =3D oIdt.m_elementsId=3D oeIdt.mIsOn =3D 1

}function _TBSetA(){

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"

Page 153: Lec8

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(){

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"

Page 154: Lec8

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=3Dyif( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )

m.style.pixelTop=3Dy-m.scrollHeightm.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() ) }

Page 155: Lec8

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=3Dactione.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_01C50927.67431030Content-Location: file:///C:/2687A098/lec8_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"../lec8.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\2687A098\lec8_files\fullscreen.htm"id=3D"webarch_temp_base_tag"><![endif]><script src=3Dscript.js></script><script><!--

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var SCREEN_MODE =3D "FullScreen";function Load() {

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)"onkeypress=3D"_KPH()" style=3D'display:none;visibility:hidden'>

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<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('slide0045.htm');" id=3DPPTL1>Ordered Dictiona=ries</a></font></div> <div id=3DPPTC1 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>In addition to dictionary functionality, we want to support following operations:</li> <ul> <li>Min()</li> <li>Max()</li> <li>Predecessor(S, k)</li> <li>Successor(S, k)</li> </ul> <li>For this we require that there should be a total order on the keys.<=/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>

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<div class=3DsldNum><font size=3D2>2</font></div> </td> <td> <div id=3DPPTP2 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0086.htm');" id=3DPPTL2>A List-Based Implementation</a></font></div> <div id=3DPPTC2 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Unordered list</li> <ul> <li>searching takes O(n) time</li> <li>inserting takes O(1) time</li> <br> <br> </ul> <li>Ordered list</li> <ul> <li>searching takes O(n) time</li> <li>inserting takes O(n) time</li> <li>Using array would definitely improve search time.</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('slide0087.htm');" id=3DPPTL3>Binary Search</a=></font></div> <div id=3DPPTC3 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Narrow down the search range in stages</li> <ul> <li>findElement(22)</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>4</font></div> </td> <td> <div id=3DPPTP4 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0088.htm');" id=3DPPTL4>Running Time</a>=</font></div> <div id=3DPPTC4 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>The range of candidate items to be searched is halved after comparing the key with the middle element</li> <li>Binary search runs in O(lg n) time (remember recurrence...)</li> <li>What about insertion and deletion?</li> </ul> </font></div> </td>

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</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('slide0089.htm');" id=3DPPTL5>Binary Search Tr=ees</a></font></div> <div id=3DPPTC5 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A binary search tree is a binary tree T such that</li> <ul> <li>each internal node stores an item (k,e) of a dictionary</li> <li>keys stored at nodes in the left subtree of v are less than or equa=l to k</li> <li>keys stored at nodes in the right subtree of v are greater than or equal to k</li> </ul> <li>Example sequence 2,3,5,5,7,8</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('slide0090.htm');" id=3DPPTL6>Searching a BST<=/a></font></div> <div id=3DPPTC6 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>To find an element with key k in a tree T</li> <ul> <li>compare k with key[root[T]]</li> <li>if k &lt; key[root[T]], search for k in left[root[T]]</li> <li>otherwise, search for k in right[root[T]]</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>7</font></div> </td> <td> <div id=3DPPTP7 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0092.htm');" id=3DPPTL7>Search Examples<=/a></font></div> <div id=3DPPTC7 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Search(T, 11)</li>

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</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>8</font></div> </td> <td> <div id=3DPPTP8 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0093.htm');" id=3DPPTL8>Search Examples =(2)</a></font></div> <div id=3DPPTC8 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Search(T, 6)</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>9</font></div> </td> <td> <div id=3DPPTP9 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0091.htm');" id=3DPPTL9>Pseudocode for B=ST Search</a></font></div> <div id=3DPPTC9 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Recursive version</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('slide0094.htm');" id=3DPPTL10>Analysis of Sea=rch</a></font></div> <div id=3DPPTC10 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Running time on tree of height h is O(h)</li> <li>After the insertion of n keys, the worst-case running time of search=ing is O(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>11</font></div>

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</td> <td> <div id=3DPPTP11 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0095.htm');" id=3DPPTL11>BST Minimum (Ma=ximum)</a></font></div> <div id=3DPPTC11 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Find the minimum key in a tree rooted at x</li> <br> <br> <br> <li>Running time O(h), i.e., it is proportional to the height of the tre=e</li> <br> <br> </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>12</font></div> </td> <td> <div id=3DPPTP12 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0096.htm');" id=3DPPTL12>Successor</a></=font></div> <div id=3DPPTC12 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Given x, find the node with the smallest key greater than key[x]</li> <li>We can distinguish two cases, depending on the right subtree of x</l=i> <li>Case 1</li> <ul> <li>right subtree of x is nonempty</li> <li>successor is leftmost node in the right subtree (Why?)</li> <li>this can be done by returning TreeMinimum(right[x])</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>13</font></div> </td> <td> <div id=3DPPTP13 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0097.htm');" id=3DPPTL13>Successor (2)</=a></font></div> <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Case 2</li> <ul> <li>the right subtree of x is empty</li> <li>successor is the lowest ancestor of x whose left child is also an ancestor of x (Why?)</li> </ul> </ul> </font></div>

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</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> <div id=3DPPTP14 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0098.htm');" id=3DPPTL14>Successor Pseud=ocode</a></font></div> <div id=3DPPTC14 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>For a tree of height h, the running time is O(h)</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>15</font></div> </td> <td> <div id=3DPPTP15 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0099.htm');" id=3DPPTL15>BST Insertion</=a></font></div> <div id=3DPPTC15 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>The basic idea is similar to searching</li> <ul> <li>take an element z (whose left and right children are NIL) and inser=t it into<span style=3D'mso-spacerun:yes'>&nbsp; </span>T</li> <li>find<span style=3D'mso-spacerun:yes'>&nbsp; </span>place in T where= z belongs (as if searching for z),</li> <li>and add z there</li> </ul> <li>The running on a tree of height h is O(h), i.e., it is proportional =to the height of the tree</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('slide0101.htm');" id=3DPPTL16>BST Insertion E=xample</a></font></div> <div id=3DPPTC16 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Insert 8</li> </ul> </font></div> </td>

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</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('slide0100.htm');" id=3DPPTL17>BST Insertion P=seudo Code</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>18</font></div> </td> <td> <div id=3DPPTP18 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0102.htm');" id=3DPPTL18>BST Insertion: =Worst Case</a></font></div> <div id=3DPPTC18 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>In what sequence should insertions be made to produce a BST of heigh=t n?</li> </ul> </font></div> </td> </tr></table>

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a6He2lW3JhbnN1pnL7TOomMnbbRbq6k9Vsf2ef92tMfC+94Y6HsSyWvtr1urFyfFsefQsRPU9+wEtevU9+XUN7af4W5vWaF9bwr0vYn6Hmug7/kN1NesOHaMdIu+W6ItdG+gvueElvC+JwN9b6R911Pfk+LY+1Abfa9enF1DfV9N7YkG6V7afnl431OBvjfQvtPUd2u9tWWhtUMcS3231lBfV1F70t1+hrt9b3jfm4f6nqq3tjWs8cV5cexOOnZe6F5L7f3UnhGeidjn0/4Rfd870Pd62nc79T0p+r6A2ruEbtH3ldT3rPBM9H0hbZ8P73s60Pc6Ona7GPM6OrZJx14whlizon2laFNsbzv23xXe95ahvkmn8EQce1+hc2zQ1+VCp3/71KDvc92+H+P2vZV+O2UP+l4r/GsMdOJcsmgejC0igV7fOFdEG/NG7O/EHqP2hBi3NTj+IjHO8NinR8aeFMdOUlvERhKmFlqXUbtFfeMk2OHG3jZm2RQb7XGqP7PW4Hh/7AU39qvd2DPi16t9sS3MYXFej1kbqC/LnRvoewvVTUv0hXFtHGibJW2YEGivofaM6wOOb1AbJ6G9OCu2T7hzzV6cHKfta+lcnhXbRWL3uvre4OoTS+HUkj7Rv1NrG46+KTE37UUUe7TXuzm2Sd8U1WLkDf03FnHQFMWzhD7ER5FdQAG3hL7G4qzYPkHtWTFnbGc8OH5SjK/utAmXuSrf6qo8U6jzq7SESs8VEXUbqZpfS22hCipxtoqMXkqq19edKFC1mrYLl2G4cHnOouPHFpF2m7ZbdSfD6E+Mcs7NAkbhubJdqLldMONnBTLuafUcEg6HaG1QBtG3OOsmxxyH0N4U0DpD7Xmhte5UInK87rSFtgXL6X9SZPxiV9/LXX3bxFk+PtAnZswu9/gz3LFvo4y3bGcGwZv1Ip7wcu+S92OOXkvoRbzVzgyZE3ptqpzQt9WdIZ53on/HOyvo3dkB7zxtDRoL8lZ3xzZOfU/RlQLa292zQ8T2tLSWvBOzFd5h/zPctnem7xRnkzv2KZqtXv+tepi+c4b0WUveraGz0Rmr7dc3686rEH0b3Vx6+pZy6+mjXLhVcMrtf7vYvx6W23OHckvVZGluLOmbFLmZ9p+9ofqQy71+fXOuvvlhfXPueTjrhN/uanuKq038esE+XtssVUJnXoy5Wna7sVdTrBl33l2019G6V6wQY9Q+3fWqQdsvvcRpX7B0zjuX5XOuise7KubEL4dVTJADa9wZcJwKa4x63e+217vr1H66bvZm+17af37cORvm6s7sdzIUdOG8MBcwg2yaIWvcszcm/jravp/ak+MDPb74op5OiLUpxoX7hLkwTypg6IKob+vdc7xObawim5z2rFgVJgdtZ5XYSPt788BblWaXXLjQjf9cN744/acC83SvW8+Piz875o7Sjef0vxrX3o4r8/agPe3WmDViFXT1OPPeHtRcR09wFdwRWAWH9VjiynM84rydDtS4tYPzaNYe1OTJJX1iTZgRq6rI2gRtnxFrQn0pa7tclS9yVe4U6oZda9CM3+CurTNu5Z4S92ABlbQdhcitLqKS4xprA43yoghV21zVWzxVwZpzfth6giucuuvFukDNFndkuwLryYS44hAqfOuJTe0GnQHbw9YTby2f8mrO7YJXfuKibMo+Xttk3blamnLPHp+2PUt527Ckbez42GK9mRxay85wYx9wY18ofBkbxPauA9a4V37eOjvu3s3sFVedjcE6P+/ekYgrrznhfsOt3WJdn3bjLbrxmmKsgXhibcO6POXesbTEleHGQf/iOqO1fnAdga7FOT64EgveI9xXjKrhi4Je9gvVwsH5wfUfXSoutPZRW0RtCQcvXrpyWh/se1egb3EW7ReKxXX27sG176xQvE9ct7uxRd+Wdx0+1PdFQ30ffw+wW2QjrO+ha/yhvndH9u3cm+xauncJ3DcN3bsM9X1xoO/gPVl030P3ZEN9zw/1nflecqjvhUDfw/fAc6JviXvgob73DPU9J86U1W7uzo+8d58VsX337kN9XxLoO+qZw7hbEa4Sc9I9i49/5jDU995A36HPSvaHPc8YelYy1Pelgb6Pe8YjnuFIP+MZ6ntfoO+0z6bOFc+Awvu+LNB38JnaNmrLPVMb6vvyQN+bad/tQlfys8Cz3e0T4X1fEehbPJMU1d17hknPCNxnmGhPuM8wxTPOOXf7+vC+rwz0PU3PWve7z1aTnr1eSHc9c96z16G+7xfoe6s1N0aX/ZsWJ6fouXaD2pfb1iRdE1yxQM+Jl7Zf4W6fcfoOPnMW0yfpmfUktcOfWS8Gjveemc8szm61zt7T2lpfcJ+hhz8zvypwvPfMfvMibg7sPbggnHKf4Yc/s786cPx5oh6O0zl0pqgbdapZ486zTGv4tQUxxSVeg7DqcvvVJfdrSO43JrmfHbEfvX50mngF+FbipSP66dYrd9R+veJEtP9AL7g6L/bW9oFHauLbw2z8z0bbRttGu4l2E+0m2k2022i30W6j3Ua7g3YH7Q7aHbS7aHfR7qLdRbuHdg/tHto97wvL0O4foRe1nHCIbyO+jY02fmEjvo34NuLbiG8jvo34NuLbiG8jvo34NuLbiG8jvo34NuLbiG8jvo34NuLbiG8jvo34NuLTkGzEtxHfRnwxPMRvIn4T8ZuI30T8JuI3sXMTOzQRv4n4TcRvIn4T8ZuI30T8JuI3Eb+J+E3EbyJ+E/GbiN9E/CbiNxG/ifhNxCcLm4jfRPwm4gs7Eb+N+G3EbyN+G/HbiN9G/DbitxG/jfhtHNzGAW3EbyN+G/HbiN9G/DbitxG/jfhtxG8jfhvx24jfRvw24rcRn1LWRvw24rcRX6QP8TuI30H8DuJ3EL+D+B3E7yB+B/E7iN9B/A7idxC/g/gddNZBBx3E7yB+B/E7iN9B/A7idxC/g/gdxO8gfgfxaYp0EL+D+B3EF9MF8buI30X8LuJ3Eb+L+F3E7yJ+F/G7iN9F/C7idxG/i/hdxO8ifhfxu4jfRedddNhF/C7idxG/i/hdxO8ifhfxaUp2Eb+L+F3EF9MT8XuI30P8HuL3EL+H+D3E7yF+D/F7iN9D/B7i9xC/h/g9xO8hfg/xe4jfQ/we4vcQv4f4PQTrIUAP8XuI30N8OgV6iN9D/B7iO9/Xtw88Qt/bV+sjfh/x+4jfR/w+4vcRv4/4fcTvI34f8fuI30f8PuL3Eb+P+H3E7yN+H/H7iN9H/D7i9xG/j/j9Hn0zIJ12aCN+Hw16fXnLSue9F1tFhThJvG+EXkvefopVO4qfd9aOiTrh/X8NSD/tFK9N30VUkD8+Y0Xtq7etCXpQ/PI5g8FgMI4H12UGg8HQC1yXGQwGQy9wXWYwGAy9wHWZwWAw9ALXZQaDwdALldRl8Qav4/4wHLAz+cEe5gd7GAMV5pQTY3gk8X+WD9I6s6zMkQR7mB/sYQw0cKbQTjMke5nkPr8zI2yOJNjD/GAPY6CTMwX1VUi+RzLxxTozYuZIgj3MD/YwClo6k7uXtHKXT+Iz5HL5mCMJ9jA/2MMY6OpMjuOLkjWSiS9kUCPpjDzYw/xgD6Ogd/nKemQZeRqNxFfpjHHmSII9zA/2MAbaO5PpsFITY3TWS521o3FKJII9zA/2MAYmOJP+mApSYmjWq5FtqDmSYA/zgz2MgSHlK+UBVWbCrKxXOU0NPSUSwR7mB3sYA3PKV74n3GXDlKzr4Iy25kii+hGxhyZGzAwdTlL5QyuIkQv6Z52dyQ+FYxkZG9nDGJh2ksrtp9Z3zbPOzuSH2lGwh6ZHj4eB5UtiJx1Ofh00hEK5Km2dkYfyISgXkB/Kh6BcQBR0EFZFXVYFTWT4oUPK9ZGRDZqI10RGNmgiXhMZAWgiKaWMpD308VofJVGSWEkG6KNcHyVpoY9yfZTopidl+UpZl9WCxRikRwa6adZNjwx006yVHmPFxG7WalQO9JGkjxI99chAN8266ZGBbpr10aOPkgGkJXFdNllGABpKioH+HuqjKgp6qtVElSYy/Ci+LusDHVRpmPK+rqqioKdaPVVFQU+1OqjSQUMo8tZlIwamQ9a1grbChqGtVG2FDUNbqcqF6VAlQiEnTK4u58MNAseOHcvZzxLUOq5tyvuqnZGHKR7qps0PnXUq16YiOkqcU+vidtKhLh86dKjmw6pVqw4cOCBZoJ1jd+zYUZK27FA+52KgszY/dNapszY/dNapXFvu6ChTKEGoP4PyhdqF34TufPjw4UajMT09fUgAP8QVuux1uSBbodWprUeOHEHzxhtvdAbgNOMhW5erz7q2J4MDzeU50Fyk5vIcaC5SkzM0d3QUWacoR+2ATdghULJR6HAZevTo0QR5ESi3LvfFshP4TZxiH0a1LuM25+DBg3DAWYSxSmGkifcQcW4UKq8ilOyhcy5FIdnGUfdQ0h9cP8XsBsTds2tyhuaO7lwyR10pwwFshZ/Dm/BLzMxs8iTqcgmA3MRzI6ESaZL1rBjM+AKe6pQgr3SU7CHuzOJLT4Lto+6hvD+4iorZLeYq0vQzdID4uhx6sew/MOQCVNu67CjG5HCaN4TBGTBmT/ijdFVZL2gpdpbZmnQPXJeHEe+hU3pQVgK/d54bRp1mBcorHflEyvuDfbDn4GwdAOti3IRcHnV53759oVthY9wthZ512XnuPFAcsyAPEKdQ4Z+sqKguG/GnNA+jSo9zLHso709UaT4moLWHuRFfl537icB9g/92ZNi0oDlhUFCXB6fTIPerVq1ynmz44dRubHKacQoNzHpMTcly96ChM0o9HCCm9LCHqfyJKs26e5gb8XW5P3T37y/KkUclKay6LmN1HRTcwS9xQzT84DzF82UD

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9zz5ilOtWcIlncmYqgc91cN9pe3ly271wJD9O2yzDl0qjxqrhzzV2/sKO8qn3Oq9dnVum/2ezLCxeruneqgvv74qccKunthqv0Ozw1i9w1M92FdaXw+5YlcXB+z3a7Ybq4c91dqKI+X+h497u/24++13b4aM1SO+6vxI+bq7jrPXrtawHahXPeqp3tpXGimfdatPbNefxT77nZ1BY/VOT/VAX3593euKXa0nf+/l8jZjdc5UPeZWD+zQn5qbjl8ubzVW5z3V/X2l0fLww8dtVxct+z2gSrX3mLDLc0zQ2X/OPiZM2n/ucd6/9B1HdvtqSjvtmvP2n3Vq9nhqtvQVnJqL9p85c81eX02ln6L9Z52afS3U7PfUWO42uNBn5crD5pqxOjXn7T/r1Iy3UHOgbk0hVx401zzhqSlvKTk15xrUHKxTc7avVLfmUAs1h1uoOdJCzUQLNYUWao62UHOshZrjLdScaKHmyRZqTrYw3k61MK5Pt7D/TLZQc6aF48HZFo4751qoOd/CcfSC/xjv1uTrHq+LvhrLqbls/1mnpuSpcV6JnBr9OWauueipcV77VHO1r1C35lLdGv150Fxz2VPjvL6r5rr954S55oqnxplRqOYp+8/j5pqrnhpnBqSam/Zcpk7Ntbo1+vOUueZ6gN9twK058vD8zKl5ZI5j2TOFSXuGMOKc6Z+3/+yz300a1PM3XT5qN/Xez1Oe+xmw72ePzsOmc1sq95N37mfA0rx1j30/ReP93PDcT799Pwd1bjZddO+ndM7+c5v9LtNB+34mjPdz03M/ffb9nNK517ReBSq/j3M/2+13nI7b95Mz3s+053622PejTTMxXXbvp3TW/nPY0plE0dk+BdP93PLcj2Xfz02db00X+93fx7mfnZbOZ24628d4P7c996PjqmXPpvfZs+jK73PG/nO3pbMq/b22j/F+yp77uW3fz8EtVm66uNX9fZz72W/p3O6gfT855368M01nfatmpnnLvp/r/fZ2KFuHdtj955z722Kq3uKpnrary271Xru67FTfNlb3eapv2tWDA5XqEafvvF19y1jd76m+YVfn3OoBp2+netpYPeCpfsquHnOrp7fbfe+yq28aq7d6qqfs6gm3WucGA9NFp/qGsXqbp/q6XX3KrT5nV+d229VPGasHPdXX7OqiW33C6dupnjJWD3mqrzrPt1t9yOl7j1193Vi93VN9xXm+3eq9Tt9O9TVj9Q5P9WXn+d7qPt9O33vt6qvG6mFP9SXn+XarB5y+neorxuoRT/VF5/l2q6eH7L732dWXjdWjnuqS83y71Vfs6qJTfclYvdNTXXSeb7f6nNP3frv6orE656m+4DzfbvUJp2+numSsznuqzzvPt1t9yOl7zK4uGqt3earPOc+3W73X6dupvmCs3u2pPus839vc59vpe9yuPm+s3uOpPuMcKbepqrJior6d6nPG6r2e6km7eo9bPT1o933Arj5rrN7nqT7tHF3d6it2ddGpPmOs3u+pPmVXH3erzzl9P2FXTxqrxzzVJ+3qs271Cadvp/q0sXrcU/2kXX3ZrT7k9H3Qrj5lrD7gqT5hV990q/c6fTvVJ43VT3iqj9vV/YOV6hGn70N29ZPG6oOe6mPO8+1WDzh9O9UnjNWHPNVHnefbrZ62H0HusF193Fh92FNdcJ5vt/qKXV10qo8Zq494qiec59utPuf0fcSuPmqsnvBUH3Geb7f6hNO3U10wVhc81Yed59utPuT0PWFXTxirj3qqDznPt1u91+nbqT5irD7mqT7oPN9D7vPt9F2wqw8bq497qp9wnm+3esDp26k+ZKw+4ak+4DzfbvX0Vrvvo3b1QWP1k57qcef5dquv2NVFp/oJY/VJT/WY83y71eecvo/Z1QeM1ac81fud59utPuH07VSPG6tPe6r3bbG2lItu9SGn7+N29ZixetJTvdeuvu5W73X6dqr3G6vPeKr32NXlh8+30/cJu3qfsfqsp3q3XT243X2+nb6d6r3G6nOe6l12dc6tnh6w+37Srt5jrD7vqc7b1WNu9RW7uuhU7zZWX/BU5+zqCbf6nNP3Sbt6l7G66KneaVefcqtPOH071XljdclTPeo83271IafvU3Z1zlh90VM94jzfbvVep2+neqex+pKneth5vt3qEafv03b1qLH6sqd6h/N873Cfb6dvp3rEWH3FU73deb7d6ul+u+9J57zNWH3VUz3kPN9u9RW7uuhU7zBWX/NUDzrPt1t9zq4uT1p5nXsaq697qrc5z7dbfcKunjhjVw8Zq6c81Vud59utPuT07VQPGquf8lQPOM+3W73X6fusXb3NWH3DU93vPN9u9YjTt1O91Vh901Pd5zzfw+7z7fR9zq6uXD835FaffHieblfn+6rVh+3zVh3EVO1U7XPOY3fq/FbTbv18uc9+Ru3z3fKg6f5uee7vgH2V56B9fxPn7fpdzlWfo9b+aZ226eer9v3pv++334cz3N9tz/2N2ef51y3793Pub9T++eyodXBar+f6+bp9fzf1qjY9Yby/suf+9tnrD2ft+5u4YNfvsH8+OGpN2O9R6een7PsranYwXd5quj/nupia+9vjrovo93Pub8i5MnfUOjadc+7vpn1/+u/H7O1puL8tnvvbba/XjDm/X9EZA/bP/aPWk/b7WPr5lvN82Os8OeP99XnuL29foZxzfj/n/vrtny+PWKeny5b9c9m+P/330/a6iOH++j33l3PXt/T7lez6LfbPZ0esM9MTzv1t6befX8v+2bk/3xW+zv3VHKWt0nA5N2IVp3OXrOlL5f5+/excQuy/Onirp3bUrh2za4sX7dqtdq1zubW/dpundsS+Ul21pencRft90a39+vmmuXbQUztsXyGv3/nSdLlkvyva319w3i011Q75aksj5cER6/J0sWS/J6rtNVq+bK7d7qndYV/V3z9iXZ3Olex3RK0GtTs8tdvtTyKUh61r08Wi8yk4e424aK4d9tWWRsvXh63rdu2hyxqDpbq1I57aIT3Fdu3UdK5ofzrulr0GftZcO+qrze8sF4etp+zaE5e1L+Xr1u701A5aBaf2xnTxgv2pkpv2Gv8pc23OV1tS22Hrpl177nL5RoPavKdWB6GcXTttH19U+5T9vsdxc+2uurW5C/YnWxrV7vbV5nPliWHrll175XJ5qkHtHk/tVqvwSO11+32kCXPt3jq1t6eL5+1PKzWq3Reidr+p9uCwVbZrpy+XrzWoHfPVlnLlsWC14xvUXrXf26tTeyBE7RMhag9uWGvlywfNtYdC1B4OUXskxOOdCPH8FhqNyQ1qj4YYz8dC1B4Psf+eCHHceDLE8epkiOPkqRDH59MhXhcmQ7wenQnxOng2xOvvuRCv++dN8w3NVa4EmG9c2HCeU6o7RyrWmV9dtOdmG8yvSiHmdRd988nCcHlixLpgzyenLpUH+wt155OXfPNYa7h8asQ6Z89jS5fK2/utuvPYy55aZ05dtOfQxUvO1YX99hzbXHvFU+vM76+PWKemi5ed6xr79fOwufaqp3a3hkfl3CJ3xb6iMt+vn/eYa695ap3znpx9nlO+Yg1cKu/p189j5trrntp9zicQnXOuq/Y3dIz16+cJc+2Up3bM/gTi8VHr8HTxmv1tIAf79XNlkb3Hcmv3PzxLt2sLNSuf9nu9p0bt90Us+8rZQr9+1hnlvuncYOVZfrT+hqf+sP0pxOtO/Rb7m05O9uvniZ3WTvfc2HfdtF1fe22P/amDynvPZatybb//uukWam75akpbqjUD5prbLdSUfTWF9Zohc421tfmaLb6a/HrNiLmmr4WaflPNkFuTN9cM+Gqs9X7q1Gw11TzsZ6+5ZpuvpmRV+6lTM2iqedjPuLlmyP/8rPdTp2a7qeZhP4fMNTv823q9nzo1w6aah/1UPvjT4/vWHbvm0W8VsOxre5zP51mGb93xtS+47fPG9js97W9X79/cPudr//D+C8b2eU/7W9X7N7ff5Wv/8P5Lxva7Pe2nq/dvbr/H1/7h/VvDpvZ7Pe1vrm9/Y/t9vvbV7W9sv9/T/sb69je2H/O1r25/Y/txT/un1re/sf0BX/vq9je2f8LTfmp9+xvbH/S1r27/EVP7Q57219e3v7H9YV/76vY3tj/iaX9tffsb20/42le3v7F9wdP+6vr2N7Y/6mtf3f7G9sc87a+sb39j++O+9tXtP2pqf8LT/vL69je2f9LXvrr9je1PetpfWt/+xvanfO2r29/Y/rSn/cX17W9sP+lrX93+xvZnPO1L69vf2P6sr311++80tT/naV9c3/7G9ud97avb39j+gqf9hfXtb2xf9LWvbn9j+5Kn/fn17W9sf9HXvrr9je0vedqfW9/+xvaXfe2r2z9nan/F0/7s+vY3tr/qa1/d/sb21zztz6xvf6e99xO21513SWreie8v9dtrI33O+5v1vsNhylOV7y9tta/27X+kyvu7PeX53Xb25wfdbWt8LDc87Uf6Sw3b3/S039FfGmq0raY97bf325+kq/9c3PK0H7LPJRuMvdue9ts0h2i0L5Q97bfqNbvRvul8KU5N+4H+0nCjY8UWX3trpNGxq8/Tvr8/37B9v6d9X39ppNGxd8DTfkt/5Vr7eq8FW33tC6ONXpu2edpb/aWG7Qd97SufS6j32jrkaV92P/tQr/12X/vCzkZzgx2e9rfdz3DUaz/cZPsRT/tb7mdR6s2FRptsv7PJ9jlf+0Ku0dwv72k/3Vdq2H5Xk+13N9l+T5Pt9zbZfl+T7fc32X6syfbjTbY/0GT7J5psf7DJ9oeaHG+HmxzPR5psP9Fk+4Jvf7catj/a5PHhWJPtjzd5fDvR5PHzySaPzyebPP6f

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d+yBPbEX9sY+2Bf7YX8cgAOxHCtwEA7GITgUh+FwHIEjsRJH4Wgcg2NxHFZhNY7HCTgRJ+Fk3B6n4FTcAafhdKzBGTgT/TgLd8SdcGfcBXfF3XB33AP3xL1wb9wHa3FfnI1zcD/cHw/AA/EgPBgPwUPxMDwcj8Aj8Sg8GufiPDwGj8Xj8Hg8AU/Ek/BkPAVPxdPwdDwDz8T5uADPwjo8G8/Bc/E8PB8vwAvxIrwYL8FL8TJciIvwcrwCr8Sr8Gq8Bq/F6/B6vAFvxJvwZrwFb8Xb8Ha8A+/Eu/BurMd78F68D+/HB/BBfAgfxkfwUXwMH8cn8El8Cp/GZ/BZfA6fxxfwRXwJX8bF+Aq+iq/h6/gGvolv4dv4Dr6L7+ESfB8/wA9xKX6EH+Mn+Cl+hp/jF/glfoVf4zf4LX6H3+MPuAx/xJ/wZ/wFf8Xf8Hf8A//Ev/Bv/Af/h//if9iA5gGdlXBlXAVXxdVwdVwD18S1cG1cB9fF9XB93ADb4Ia4EW6Mm+CmuFkLnycpIK4dtscO2BELsQiLsQQ7YWcsxTLsgl2xG3bHHtgTe2Fv7IN9sR/2xwE4EMuxAgfhYByCQ3EYDscROBIrcRSOxjE4FsdhFVbjeJyAE3ESTsbtcQpOxR1wGk7HGpyBM9GPs3BH3Al3xl1wV9wNd8c9cE/cC/fGfbAW98XZOAf3w/3xADwQD8KD8RA8FA/Dw/EIPBKPwqNxLs4zxzvnlJXN/Qda//qBJ1KEyGZWbubfNx5yXkHKH9MQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEKIDCXas9ter5cQQgghhEgNiX4m0Ov1F0IIIYQQ7pFobqh8UQghhBAic0hGbqhcUQghhBCidZKK3FB5ohBCCCFE6yHV+aFyRSGEEEKI9MXL3DAcr/eDEEIIIYQI4HVeaMfr/SGEEEIIke14nQ9Gw+v9IoQQQgiRzXidCzaF1/tGCCGEECIb8ToHbA6v948QQgghRLbhdf4XK17vJyGEEEKIbMKN/M3n8+U8cu8jzXrrdbcqTxRCCCGESHPcyA8Ncw6ZE1P+Nv/k+QnVk+z9IYQQQgiR7biUHlosXbo0pvytrKws4bqSvV+EEEIIIbIZF1JDC5P3xVLf4sWLXakv2ftFCCGEECKbcSVhA3P/eNmyZdb95qasGFHhVpXKE4UQQgghkoBryVpO4D5zos8ZxovX+08IIYQQIhNxK1ernlJt5WsLL1i4fK6wTZs2bi0+Kl7vPyGEEEKITMStXM3khk7LN88empwxWfliqveXEEIIIUQ24EaeZvI/8xxiU/WEnlNMBqnaV0IIIYQQ2YBbOdqs3WfFnKeZ7892e04xmftICCGEECLbcCtHM3lfPPUm+hsrdpK1f4QQQgghshFXE7Ug5jsSzedXzOebm/o+bX3/jRBCCCFEeuJaktYEJl90yhXdnEv0Yt8JIYQQQmQqriVpzWCeP7R/7tl8hsUtvNp/QgghhBCZiGtJWozYn1t0a7le7T8hhBBCiEzErRwtVsJ/z1nziEIIIYQQ6YlrSVochJ5N1POIQgghhBDpiWtJWhyE7jeb71R0C6/3oxBCCCFEpuFGjmbuIZt5QZP/NZf7mXlE8/t8buL1PhRCCCGEyDTcyNFMfhi+zGi/pWK+E9E8h2hySrfwar8JIYQQQmQqbuVp9hzREPp95lCuaOYXzRyim/lhOF7sPyGEEEKITCI8r3IjPzN5YFO/x2fPF5NJ6vaiEEIIIUTm4JRHuZWf+Xw+63dVTD4Y0s3f3IsHL/atEEIIIURro6ncyZMkLkWkej8LIYQQQrQGYsmVvMzhUkWq9rcQQgghRDoTb27kZf6WSpK5z4UQQggh0pVEciEvc7dU4/Z+F0IIIYRIR9zIfbzM2bzCrf0vhBBCCJFuuJnreJ2zeYVb+08IIYQQwmuSld94mat5idv7UQghhBAilSQ7p/EyT2uKVK1jsvarEEIIIUQySGUOk8wcrCV4sZ6p2M9CCCGEEC3Fy5wlmTlYrHi9nsnex0IIIYQQ8ZAuOUoy8y+3c7N0Wx8hhBBCCLdIx5wkmblXMvKxdF43IYQQQoh4SfccJJm5VzK2vTWtqxBCCCGEndaWd7S2fMvt9U3lugshhBAi+2jteUZry68SXd902hYhhBBCZB6Znleke/6kXFEIIYQQ6YTyiPRCuaIQQgghvER5Q3qjXFEIIYQQqUZ5QutBuaIQQgghko1yg9aLckUhhBBCuI1ygcxBuaIQQgghEkVjf+aiXFEIIYQQ8aKxPntQriiEEEKI5tDYnr0oVxRCCCGEExrLhUG5ohBCCCEMGr+FE8oVhRBCiOxE47WIBeWKQgghRHag8Vm0BOWKQgghRGai8Vi4gXJFIYQQIjPQ+CuSgXJFIYQQovWi8VYkG+WKQgghROtBY6xINcoVhRBCiPRFY6rwGuWKQgghRPqgMVSkG8oVhRBCCO/QmCnSHeWKQgghROrQGClaG8oVhRBCiOShMVG0dpQrCiGEEO6iMVBkEsoVhRBCiMTQuCcyGeWKQgghRHxonBPZhHJFIYQQomk0rolsRrmiEEIIsSIax4RoRLmiEEKIbEfjlhDRUa4ohBAiG9E4JURsKFcUQgiRDWhsEqJlpGOuqP4shBAiUTSWCOEO6ZIrupVnCiGEyE40fgiRHLzOFRPNMYUQQmQnGjOESA1e5IotiRFCCJHdaJwQwhtSmSvGW14IIUR2o7FBCO9Jdq4YT1khhBDZjcYEIdKP5GSJ8eP1fhBCCJF6NAYIkf54mR+G8HofCCGESA067wvR+vAyR9T5QgghMhud64Vo/ShPFEII4RY6vwuReShPFEIIkQg6pwuR2ShPFEIIEQ86lwuRXShXFEII0RQ6dwuR3ShPFEIIEY7O10KIcJQnCiFEdqNztBCiKZQnCiFEdqHzshCiOVKVH+p8JIQQ3qNzsRAiVlKdI+rcJIQQ3qDzrxAiVrzID5UnCiFEatF5VwgRL17miCG83gdCCJGp567WtK5CiPTBvSwvcVrbfvByfYUQ7hDep2+97tacRdcuius1nc8J6bpeQojWQYuSuSTSWrc9lesthEicUN9ddN0iK99z4zVdzgfpsh5CiMzBzZwpEVr7diZ7/YUQLSfUT+OdL4zn1atzgc5BQohUkexcqila+/YkY/2FEC0n1DfdnDeMZV4xlduXqrqEEMJOKnMst893qV73ZGyDEKJlmL6YzHnDWJ5XTOa26VwjhEhHWkOelYp1TOb6CyFajumDqZo3bOrV7XOBzi9CiNZGOuVZyVqXluD2fhZCNI/pe17NH0Z7TtGNbdI5RQiRKXiRZ7lVp5ska/8KISIxfS4d5g/dmk/UeUQIkQ2kIs9KpI5kksz9KoQIYPpaOswbRns+Md5t0blDCJHNuJlnuZrUJYFU7E8hshnTz9ya95t38rycuYfOyVlw/vyUf95Z5wshhIikpXlWS/O2srKyFsdVjKiIKyaV+1GIbMP0sUTn+xYtXJjjn1qds8GaG6zQd30+n5UvJns+UecKIYSIj+ZyrXjzuzZt2uTMOWROztKlS3MeufeRuGJN3LJly3IWL15saepfeMFCa5mxkPq9J0TmY/qWG/OGbTZvuh/P2n1WUp5L1PlBCCHcwX4+jTW/C+WGJscLxcaTI5qyJib8u8/M8szfTL5p5hpiIfV7TIjMxvSrROcPm8sPDWZ+ceEFC1z7nLPOCUIIkRxize1M7mbm+pyWEWuOOP/k+cvjq6dUL/+7yTtDfzfzirGQin0jRLYQes4vkfm9ioqKnLLeZTkLFsy33ps80Omes8GaS3ThuUSdC4QQIrk0l4+ZeT5z7R66t2yPjyVHNM8ehsfYn0MM/zczfsRCsveLENmC6U+JzOvNO2leTnVVleO/z507N6Lvmtyxtf6usxBCZAsxJWNhmPlE+zJiyRHtc5D2fw/dgzaYPDQWUrF/hMgGTH9KZF6vuc8t2+9Bz54z25XPOes8IIQQySOmZKyZ3CyWHDH8+UWnesNzREMsn5VO9r4RIhswfSnRzxk391paWrq835p80a3l6jwghBDJI/bMMHpu1lyOaO4rN1evPUc097Vbsi5CiPgw/SjZv48SeibRvJr70m4uX+cBIYRIDnElh1HysuZyxNDnlpuq154jxvo5mGTuGyGyAdOPkjmP6J/qt/qqmT80n2dJx99xFkIIsSJxJYZN5GXKEYVovZh+lKz5Q/PZlHDMPWfzeWfNIwohRHoTUxIWQ17WXD5nz/+c6o6lTCzrIoSID9OP3J4/rKqqcvzOG4OZT3Tj+xE1jyiEEMkjlhwslrzMyxzRaX2EELFj+pDb84fm91bM9yVGyxPNv2keUQgh0pdYc7DmcjLliEK0Tkz/Sebnmc3zh06/nWRyR80jCiFE+hJrDtZcTqYcUYjWiek/yfw8c+j3Vtr62kb027mHztE8ohBCpCmx5mDN5WTN5Yjhv8EXrW57jhjrb/I5rY8QIjZM/0nmPGLo1XzfjR3z+yuaRxRCiPQk5iSsmZzMy881O62PECI2TP9J9jxi6LWs14rfix/6XWfNIwohRPoRcxLWTE7WXD5XPaU67hzRzD22dH2EELFj+lCy5xHN6+yw32E3n23W84hCCJG+xJyENZOTNZcjtmnTJu4c0eSVLV0fIUTsmD6UinlE8/xhCPO9ifpcsxBCpC8xJ2HN5GSx3Be254BN/bv5bedE1kcIETumDyUyj7do4ULru2zM92PP2n1W1HJz5gRyRPOZZn0/ohBCpDdxJWJN5GSx5Ij2+81lZSs+m2TywtC/xfpbzU7rIoSID9OPEpnHs/+WiskXFy5cEPV5xNmzZ+t3VoQQIs2JORFrJi+L9fMl4XOFFSMq

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xefweXwBX8SX8GVcjK/gq/gavo5v4Jv4FprL23fwXXwPl+D7+AF+iEvxI/wYP8FP8TP8HL/AL/Er/Bq/wW/xO/wef8Bl+CP+hD/jL/gr/oa/4x/4J/6Ff+M/+D/8F//DBsxZh/6PK+MquCquhqvjGrgmroVr4zq4Lq6H6+MG2AY3xI1wY9wEN8XNcHPcArfErXBr3Aa3xe2wLfowF/MwHwuwHbbHDtgRC7EIi7EEO2FnLMUy7IJdsRt2xx7YE3thb+yDfbEf9scBOBDLsQIH4WAcgkNxGA7HETgSK3EUjsYxOBbHYRVW43icgBNxEk7G7XEKTsUdcBpOxxqcgTPRj7NwR9wJd8ZdcFfcDXfHPXBP3Av3xn2wFvfF2TgH98P98QA8EA/Cg/EQPBQPw8PxCDwSj8KjcS7Ow2PwWDwOj8cT8EQ8CU/GU/BUPA1PxzPwTJyPC/AsrMOz8Rw8F8/D8/ECvBAvwovxErwUL8OFuAgvxyvwSrwKr8Zr8Fq8Dq/HG/BGvAlvxlvwVrwNb8c78E68C+/GerwH78X78H58AB/Eh/BhfAQfxcfwcXwCn8Sn8Gl8Bp/F5/B5fAFfxJfwZVyMr+Cr+Bq+jm/gm/gWvo3v4Lv4Hi7B9/ED/BCX4kf4MX6Cn+Jn+Dl+gV/iV/g1foPf4nf4Pf6Ay/BH/Al/xl/wV/wNf8c/8E/8C//Gf/B/+C/+hw2Ysy79H1fGVXBVXA1XxzVwTVwL18Z1cF1cD9fHDbANbogb4ca4CW6Km+HmuAVuiVvh1rgNbovbYVv0YS7mYT4WYDtsjx2wIxZiERZjCXbCzliKZdgFu2I37I49sCf2wt7YB/tiP+yPA3AglmMFDsLBOASH4jAcjiNwJFbiKByNY3AsjsMqrMbxOAEn4iScjNvjFJyKO+A0nI41OANnoh9n4Y64E+6Mu+CuuBvujnvgnrgX7o37YC3ui7NxDu6H++MBeCAehAfjIXgoHoaH4xF4JB6FR+NcnIfH4LF4HB6PJ+CJeBKejKfgqXgano5n4Jn4X/In50WKMPPhq+JKwbnklYNzwxsP4VxewPmXZGYlM1mwypt7r8b/+2+wme3fANuvvkHOJjn+4WMnVA4qLPL5fB178h9fns+3WfBfc61/HTrI/NlX4fOFXv351X7fmI7mXY69bG4cZfPiKJvfRNktgmXbB8sWmL9Wh5ct6+LrXe335/vKzJ/s5dtFlDflxlO+urNT+fYR5StKfd1NeZ9j+Q6Ryy/1DTXlKzo5le8YufzOvmpTvsyxfGHk9nb21VjrX+JUviiifHUnX8cJZn0cyxdHrk8nX5kpX+ZYviRyfTr5epvyPsfynZzK9zflq4udyneO3J+dfBXRy5dGbm+Jb6S1vY7ly5zKj7G21yq/dbB8SbB8F6tgbvj+KfGVjPdzXAr8/lLfWJ9TVNeIKPZmmYkqs6LGOEZ1c4qy6qoIi7JvUffIPVziq7H2WJFT+R6Re5gjN3F5efta9YxYK5+1Vvylg1mr0Y7b0itKFP2xffSo3lGiOviq25moUY5RfSKiaCtEFfnKmojqGyWKZtBEVD+nKPp7e191QfSo/k5RY8b7C5qMGuAUxbkiv8mogU5Rk0xURRNR5VGi8pqsq8IpaqppG01FDYopyt5uB5s/2tttgWm3FY7tdohTW+po7b0mWuDQKK2iINjaK61/2C4Y1SUYNcz8sWyFnlvs61gd2CKaTL8av9/X3xoTc+w1Do9cz2JfQTU1lnUyNQ5zXM8REVHsBWps56u2ooY4Ro2MrMuK6uAr62yiBjlGVUbWVWiiinwVVlS5Y9SoyLqsqE6+aitqgGPU6Mi6OpqoUl9ZqYnq5xg1JiKqrKPZh119FVZUH8eosZHHuoOpq3swqrfjsR4XeaytqJ6+ikKCfL3Mse5t/XuOPbYqIra6vYll/QpNO7Fiy5xjqyPrtWIH+Mo6+kcEYzs6x46PrLedia3wVXTwTwnG+pxjJ0TWa8UOMT0iPzcQO9XnGDsxItbXzhyXEWYU6BaMrXaOnRQRW1Fg6h1lzs9DgrEjnWMnR9ZrxY4zo/bEYGyFc+z2kfXmm1j+nuvvlhc8voFYe4uaEtGifFbs4NzA+FXg2A6nRkRV5Jmo4cEo67zh2yoYVRiM2sH8MRAaOi55Zt+OCkaZ9bPHTIuIqc41NY01MVOcY6ZH1mPFjDcxVc4xNZH1+EzMZBMzwjlmRmQ9VswOJqY8EGMfE2aav4aNCTPzK3z+KR04RuXW4uzl/bbyM6jD36GjOaY1TuWtgxJWfrpZfjdTvtyxfK6t/A6m/BBr+dOdyufZyk8x5Sday3csn28rP9mUzy80y5/mVL7AVn6itf6mfLlj+Xa28hPM/hliLX8Hp/LtbeWrzfKrrOU7lu9gKz/OlPdby5/qVL6jrfwYU760yCzfsXyhrfwoU77clPdPcSpfZCs/0lp/a/mO5Ytt5Ydb628tf3un8iW28sPM/iwtNst3LN/JVn6IWX4/U94/2al8Z1v5Qab8aGv5juVLbeXLTfnp1vInOZUvs5UfYMoXl5jlO5bvYivfz1p/U94/0al8V1v5vmb/jLaWb5WPuEKyTpKNZ8reZvlTTPkq6zw7Pc8pqrstqqeJ6tDJrFWer6zaP80xqoctqruJ6mWiyvN83TkvOUb1tEV1NVEjTFRVrq9/tX+qY1QvW1SZtV0miiNWUe2f4hjV2xZVap3NOps1pCkzYuU57fM+tn3eydTVrbNvcE3pWKfyfW3li035IZ19g2r8Y5zK97OVLzTlJ3b2VdRUOZbvbyvfwZTPJ6usKXcsP8BWvp21/qW+gTWljuUH2soXWOc08s8a/2in8uW28nlm+VWmfLlj+QpbeZ8pz/jbv6bUKm8f56xptLBxbmZeoHyBuS6psi5lIsbGwbaYmmBMR19Fe/9o55ghtphpwZhCk7eNcI4ZaouZGowp9pV18A9xjhlmi5mSV2bFlPiqO5hzr1PMcFvM5GA9nUwu2ysQ0zYY0z10xWNieje29hm5Zfn+EXm+vGD+OaSGy5hJ9DCriD16pC16Wi5XZt2C0fShoTVcwnOdN9kxutIWPdXkJPnBaE4v9J32vorx/gmO0aNs0dvncqTJQq3oMbmmpbczswHjHaNH26In5ZKz88dcE12QRzvjUpGr5yrH6DG26Im57OF+wbq5Iu1TU0pSOsE/zjF6rC16Qm51R39pMHpSnq9nTTlX1RP8Yx2jx9mix+eWFZorBiu6LN/X1Zx/u0/wj3GMrrJFV+dWF5pR3Ioeme8rranKMzOPox2jq23RLK3IXxWMLijwFdeU5pl5xVGO0eMjosuKzEWLtc/7cylhzuZDQ9F5weg+oSsm89eRjdHjcquLzNVdYK8V+ArMWb3Gmu/I84+wZpxzOgSXMTR05WTCO+YtXwZ7uNjfLbiMkna8sjG0dkrk0+5ZJuf8MdX+QLUFwaUNDF1LWf0tN2xpZcUmKtAK2vlKajjrjbGWlmsmwIpqSvs6bdlk25aNya0uNv2WMSLfrF1RDZ2JETXfV5HnLw9smX0Z20dZRh/Tn0PL6G7WJfoypsS4jHxfWdRlTLUtg3ZUEr6MQnOUuge3pZ/zMnaIWEaZtYzecSxjWpRl9MqtiHkZ02NcRoHZH1GWURPzMliPXs7LmOHCMmbaljEqtyLuZfhjXEa+6YFRlmFddie4jFwXlpFnW0b09hF9GfnNLKOxz9GPoyyjIOZlVEdtY+2aWUaxOauVBdcjyjLaR1lGqM+VmDOhbRn283sHs4zeTucPExNcRsF4v5WnRGRw1mk5LHtpjOY1eLaxxxRGiembWxE1psgWY521A2tZEi2mOEpMbxMzxDmmxBZjjVeBPRo1plOUmF4mZoRzTGdbjDWqhtZttHNMqS3GygJC6xYlpiwipqIxpso5posthgygMWaic0vsamuJ1bnm+stHNmhaj7knXdHDN9W6C9AxtAz7yNzNqneFTMNnWnG56U3WMnzWMvLJBszITAZijcz25XS3LWecWQ4teYAZ2QPr0t0sp53J5HuZ5VQ5LqeHbTljzXKGcGVu8qXA+ljLsa48ys1yyh2X09O2nDFmOVVmprkquJzqbiZ/KfZVtDPXYbnBjMO+nF625Yw2y2HXdDFX/NZyyrqZ9elk7qxOt/ZPH6fl9LYtZ5RZDifOIpM9B9anq1lOVzOqFJvsuspajv3M0cd25qg0yynOD2SGQwt8nWtKS8zyhjnmlX1t0SOto52/PK/sXFNlRQ91jO5nix5hHeNgdHer7k4meohjdH9b9HDryAajS6y6rejBjtEDbNHDTPToYHSBVXdnEz3IMXqgLXqoiZ4YjObKt1NNlRVd4RhdboseYqKnB6On5hNdWmqiyx2jK2zRg010fkEgujqfNS+3ogc6Rg+yRQ+yjncweqSJ9lvRAxyjB9uiK6zjHYyusOouM9H9HaOH2KLLreMdjO5t1W1F93OMHmqLHmgd72B0mVV3FxPd1zF6mC16gHW8g9Edrbqt6D6O0cNt0f2t4x2M9ll1dzXRvR2jR9ii+1nHOxhdk8fx9lvRvZyv9G3Rfa3j3S4QzTUrLbWbie7pfKVvi+5jHe9g9BgTXWVF93C+0rdF97aOdzB6qFV3dxPd3fG6cbRtPOllHe9g9FTrujnXOkdZ5y7ryaaIMWmMbRk9raMeXAYXxe1MtjjVrEFgu5yWMda2jB7WsQ/tg1xfe5OlTTV70Ix3gWVEXPvb9oRV38TQnsj19awp7Wn2RJnztb8tupvVAoLRnCR61FRZ0aXO1/62aGt/5bcP9htTt9+K7ux87W+L7mLtqWB0d1N3eS8T3ckxeoItusxqAcHoEhPtt6JLHKMn2qJLrRYQjO5Iml9T3ttEFztG

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N0uGt7n3L+f2i82y4XPkrn8u9rrb4X2KzYfhdtt7HY32XpMwjtsIf1/omuXctgq3X2pbhfcL2ye3jXLbPPpvUGwbdOZjo8K/Q3RGzv8dlWE7FHsM4fbbe57herYk/afYsTKL9ykL963asrotsnZ/1L5i12SE9ccwP+WumQj/uzNrkmGOy91Wsdd57ojcc4Po/azk9b7juo3w/vmPsZznIdGfs8y/H6V+BrOzH1tI/r95uY9BktS+rM9IWZ0tq6kWtkGW75skSVK11NJMVAszZhLae9xZfOy1cj8lSZLiVoszUC3Om51R64+3Fu+zJElSR9T6zFPrc2c5ynmMtfQ4a/3+S5IkFVNPM069zaBR9fq4gnp7PJIkqXHV80xTT7N2PT2W9tTzY5MkSfWtUWaYcmfTrD7+Wr//ndEoj1OSJNW+Rp1ZKplV094mtXRfq6FRH7ckSco+Z5TKZ9dqbqcs37escBtIkqSscCYZWUfn2Ti3XxbuQ61ym0iSpLQ4g7Svs3NuGtLeZlniNpIkSdXizFG55CbieKS9fbLO7SZJkpLijBGP5CblyqW9LWqN21GSJMXFmSI5yU3PxaX9mOuB21aSJHWUM0T1OVPXFre5JEkqlzODVBlnbUmSVIwzgtQ5ztqSJCnHmUCKl7O2JEmNyxlASpaztiRJjcNzvlRdztqSJNUvz/FSupy1JUmqH57TpWxx1pYkqXZ5DpeyzVlbkqTa4Tlbqi3O2pIkZZfnaKm2OWtLkpQdnpOl+uKsLUlSejwHS/XNWVuSpOrxnCs1FmdtSZKS4zlWamzO2pIkxcdzqqQoZ21JkjrOc6ikUpy1JUkqn+dMSZVw1pYkqTjPkZI6w1lbkqT/eE6UFCdnbUlSI/McKClJztqSpEbiOU9SNTlrS5Lqmec4SWly1pYk1RPPaZKyxFlbklTLPIdJyjJnbUlSLfGcJamWOGtLkrLMc5SkWuasLUnKEs9JkuqJs7YkKU2egyTVM2dtSVI1ec6R1EictSVJSfIcI6mROWtLkuLkOUWS/uOsLUnqDM8hklScs7YkqRKeMySpfM7akqRSPEdIUsc5a0uSojwnSFJ8nLUlqbF5DpCk5DhrS2pUxY5/9X5MrPfHJ0lZUu/nlUY9l0r6TyXHgXo8TtTL45CkWlQv55NGP5dK+r/29u8hlw1pGjZ0WMm3tX58qNX7LUn1qBbPJ+2dS9s7j4a37Un7MUoqT7F9eMjQIcP39868rZXjQy3cR0lqVLVwLil6Lu3kebTU+lXaj1lSYYX213KeX3fkbVaPDVm9X5KkkWVx1iw2VydxPs3aY5c0skLHgzjWrTuyrp2Fx+9xSpJqR1Zm7ZHOpVU4j2Z53UpqZPn7ZFLr1pWua6f1+D0uSVLtSmvWLvQ50zifej6TsiF/X6zW8+1y17Wr+dg9FklS/ajmrD3SuTTl82j+ulUSj1lScVl4vl3O8/CkH7fHH0mqb0ke9wvN11k4j6b5/WGpkWXt+XY11rOdrSWpscV9Hig0X2fh/FlsPdvznpSsrD7fTmo929lakhQVx3mh0HydhfNme+vZSWxPSbWxfh3XeraztSSplI6eJwrN11k4X5a7np30dpUaUXQfS/t5dVLr2c7WkqRKVHreyJ+vs3CedD1bSk+bY0JGnlfHuZ7tbC1J6oxyziP583UWzo+uZ0vpie5TaT+Pjvv5t7O1JClOxc4r+fN12ufFtH7OSdJ/RhwTqvA8uXXflqb+2/VP/Pm3s7UkKUmlzjdpr0en8XNOktqq1vPu1tbWph49egz/POFtNdazPUZIkpKWf86J43wW1qOa/12P6sjHDz5zUFNLS0tTv759qN/w2+vIenba21aqZdH5Oonnw2HNulv3bm2OP2HG9vm3JKlexLV+3dra0mY9qiO3E+bqLmN3GXEb3br9/xzcdYquTc0tzRV/XzjtbSvVorifd0ffhuffYX8uJMl1bJ9/S5KqKXp+6+h5K6xHde/eveB6VLm3M2Tw4BHzeTDw6IEj/j7M3Tl9eveu6PvCaW9fqRbF9bw793bw4EFtnj8Xk+Q6ts+/JUnVFJ2vKz1f9W9nPaqS2+u5SM+S59mocK72+8JScqLHhTjWj8P1X2H9OrzNPS8vdtzw56IlSfUgd76pZL25kvWocm63ubl5pBk6//2ia9zhcw86Y5DfF5YSEN0Xk/z55Nx1YIWOG9X4uei0t7MkqX61OZeWeX4K61D9/12Pyv3cUtEZu8zzXv5aeKF16uiMHfTq1avs7wunvZ2lWpLbb5JcT85/3hw9biT9eT0uSJKSFp2vO3PeKrUe1d7Hh9cPyVfodUTC64vky33f2e8LS/GJHheSXE8uNmNXax3b44IkKSkjzqWdPG8VPVeW8fFhPXqkGbu1ZaT3i/7cY045v6/Cc6lUmdw+U6/r2F5HJklKWnS9qjPnq1LrUe19fKGfmSx3HTvM535fWIpPdP+q13VsjwuSpKSNOJemtI4dXs+rkHLXscPvr3AdW4pPdL52HVuSpMrlzjFxnK86uo4d1qsLzthlrmOXc/89l0rlGzFjJ7yO7Dq2JKleRder0lrHLvaaJOWuYwe51zdxHVvqvOhxwXVsSZIqlzvHpLmOXWxurmQdu7W11XVsKSYjZmzXsSVJ6pDoelVa69hFZ+wK1rHDPO75VIpH9LjgOrYkSZXLnWPqfR3b86lUvhEztuvYkiR1SHS9qp7XsaPS3uZS1kWPC65jS5JUudw5Js117KI/81jBOvaQwYNLfh5nbKl8I/Yr17ElSeqQEefSFNexw3p1wRm7gnXs9u6f51KpfNH9ynVsSZIqlz+nprGOHV53r+CMXeY6drdu3dq9f55LpfJV8vzVdWxJkgobcS5NaR07vC34u9TLXMcOv0vddWwpXrl9xnVsSZI6JrpelcY6dngb5uSRZuwy17HD9dyuY0vxih4X6nEdOyrtbS1Jqk8jzqUprmM3NzePPGOXuY49ePAg17GlmOX2mXpdx/aYIElKWnS9Kq117PA2/3qRME+3dz7OXSdSzveDPZ9K5YvuN0muJ3cZu8tIx43wZ9Vax057O0uS6lebc2lK69jhbXNL27XsMGOX+r5yOA8PGjTQn2uSEhI9LiSxnlzsdYKC5u36J/Z5fd4tSaqW3PmmM+etUutR5d7OMosu02Y+L/b93dwM7s81SckZMWPHfP11qNDxIl/43lZ43/7/ztu+nogkqdZEz2sdOW+VWo+q5PwYXscvulY94KgBI/4++jl69+7tzzVJCYvuP9V4nY9qvfWYIEmqljYzdpnnqY6sR5X7/d/w+iG52w0f17179xG3E34+0p9rkqojelxI8vroar31ebckqdry5+y0z4fh9ULCPB3Wr0OFXmeknO8Hey6VOq4jz7+z+tZjgiQpDdHzTxbOh34/WMqGrD3/7ux12B4XJEnV1uZcmpHzot8PltJVD8+/PSZIktJW698X9lwqxa+Wn397TJAkZUGtf1/Y86mUjFpdz/aYIEnKivw5OwvnSb8fLKWv1o4NHhMkSVlTa2tWnkul5DXlycL3rvyeliSplox0Ls3IedOfcZTSVWjOzsLz7GLr1x4XJElZMtJJKqPr2Z5HpeopdFzI2np2MWlvO0mSip6kmrK1nu35U6qe/P2t0Jydlefbxe5jultQktTIyjlPpb1+7XlTqq5S+9tIs3bKz7fz76PHC0lS2to7F410Ls3A94HT2E5SIylnf8vfL7P2fNvjhiQpLR09V1XrfFpINbeP1Igq2d8K7qRNyaxrd+R44PFDklRtHTn3FDyXVunnl5LeHpIqm6+LfVz+8SHu59mdvW+VbRFJksoX5/kqrvNpHOdSSR0Xx35X6vgQPU6Uu04d1/HA44okKWlxnmvaPZdW+H1fz4FSOpLY99rdycuU1P2J63YlSarWuSvtc6mk8lVzH0z7GOAxR5IUt7TPZc7UUvY04v7ocUiSFBfPKZLyNfIxwWOiJCkOnkskRXlMcM6WJHWO5xBJUR4T/uOcLUnqCM8dkqI8JozMOVuSVAnPGZKiPCYU55wtSSqH5wpJUR4T2uecLUkqxXOEpCiPCeVzzpay7Zlnnim5X77zzjtN7b2P1BGeGyRFeUyonHO2lA1hVh549MCmPhv2aerZs+eIfXLY0GEj7ZfffPNNU6+Ve414n/7b9XffVWw8J0iK8pjQcc7ZUvrCmvQ9t94zfKYOc3ZO9+7d2+yTYb6OzuBB165d3W8VC88FkqI8JnSec7aULdE5e/CZg0fsk2G+DuvWYR5v2adl+Hp2obVuqVKeAyRFeUyIj3O2lB3h2pGcMG+HPwsztdeFKAke+yVFeUyIn3O2lB3hOpHctSBh3TqsYYdrRdK+X6ovHvMlRXlMSI5ztpQNYc06J8zZvoaI4uaxXlKUx4TkOWdL6QvXYed4jYji5jFeUpTHhOpxzpbSVeiabCkOHtslRXlMqD7nbCk94drr6LUiad8f1QeP6ZKiPCakxzlbSkf4nTRhts7xemx1lsdySVEeE9LnnC1VV1jDDq8rEl6vLyfM3GnfL9Uuj+GSojwmZIdztlQ94frr8DOP4TX7cvy5R3WUx25JUR4Tssc5W0pe+L2N4fc35v47t7/l/1718PvXQ9W/h6olHrMlRXlMyC7nbCk5YWYOs3R0dg7zdk7uz8O1JOF30niNtkrxWC0pymNC9jlnS50X5uRw/Uco/O/c3ByuEYm+X7gOOyd3TXb4GK/PVikeoyVFeUyoHc7ZUudEZ+ewdh0qdM119HWyw+uMFHs/Kcdjs6Qojwm1xzlbKq69/SL684xBeA2RYu8b1rdznK9VisdkSVEeE2qXc7b0n/z9ob19IqxRh/Xs9q6rDteRlPN+amweiyVFeUyo

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XZspNUra+9xcy9y9Z/LJeuyo9E/W3821zZ3ZJ7v1+trNSKTutS3WVHfjZFLunpqUO6dn9oWJRtc7bOlemlD1kBVkr6rXVb2mTrm9VO/Ww63XtPe9uaUeplUfDc4sXY/nVD2mVD3cmXVORUjdfPVKNq3i/YfV3i3tb6vRdFfbmrfaOhOu59Dq7o5S7+7q+ny3Dp+7GSPVfTHl74t9qsxjWmdK7Re6DvMT7Sk1RjuVt9F84hHt7q562ls5rL77PKYr9hX9hcCK3tBlzqkyW6pMWU7l+5mJhuP1X0PHuZ6s6K4n6bg+iTuTJtW4X9FWPeOW7Jb77GZcVpXb3BJ72+vGkqXcM6pcmS1H1B0uZ8qmPxfQb2j9U9oupmRnqe9y9d3AoanfDOg7e9X4nFU7U13pd7r6jlX/eEC/Oav0zyl9ucAT72l3t/wJm/5LwfK1vr47c31Sebd7uuVb9U8Ey9+j9C8r/TOTUv7cbLd8ncS8Vj0ZvFbV+tfUjnh4Ujzf+t5u+RbtUwHt5m6l/aq++yVO6GJdW9HrVu3TwbK19qKKUZyZcPYtdrT2Dav2mWDZu5S29FOtG23SM/dVrf3ZXe19m3Fbbe9bytbatYnGnk69puz5dZvefECvuVPpyY92d04ovTmr3svB8rTe3on2zs4VXd6iTe9csLwZHeedaMx0ZqZVeVa988HytN6RicZ0Z07pufvXZ3b1dm3GaPXa4/jL26HbJ/bbua73lDFT52JAx9E6s0qnZddpBcuZ1lEFpXPGrtMOlqN1DiqdObvOpWA5Nd0PSuewXedysBytc0zp1O06V4LlTCmdptKZsetcDZajdU4qHdf7D+hcC5ajvYezenzsOq8Ey9E65/X42HWuB8vR+2dbj49dZyFYjta5qsfHrvNqsBy9Py7o8bGfgnhN6Ww9dSB7TF3ZtA5fm2XcMMp4XaVXpwe0B2av16Khc6Oro720zqxV53VD59WujvbKr9t13jB0rnd1tMfasut0DJ1rXZ39+orDrqN3L5/Ola7OIX2FYNeZMHQudXWe0z6UXWfS0Gl1dV7Q3qpdZ8rQudDVOa7Hx65TM3TOdXVO6fHZY9WZNnTmuzrzenzsOjsMnTNdnQt6fOw6M4bOqa7OJT0+dp2dhs6Jrs41PT52nV2GzvGuzqt6fOw6uw2dua7O63p87Dp7DJ0XNufPhBofu86soXN0c/4onc5uq85eQ+e5zfmjdK7bdfYZOoc354/Sadl16obOoc35o3TO2HUahs6BzfmjdOZcHdND2a90fB7KARUNEZ9S3387qfZgmeDnZe3WSUztZwzt+mS7pjxCrX1VactwzV7qnLRqHzC0ZTx2KH9Qa9d2qLVyl3PyUue4Vfugob17UryNA13tg1p7p3P1UmfOqn3I0Bbb3qmiyW67tba+B/SiVftZQ3tmUjyk6927lleVtlzIz17uHLNqHza0pyebu1QkwG33jNLeoe4yHLVqHzG0ZZXZrRrptltpi+vUvNx53qr9nKE9NenGB7X22Rl17VdTdxSOWLWfN7RlJd3j3a1dUNqyn1693Dls1T5qaE9MNvcoD09r79yprlOnnIUw7WOGtuwWs+qqzj0JoLTnJMWVzrNW7RcC2o1ZFal3272zey14pXPIqv2iod2ZaM92IwfS7p3ulfvslc5Bq/acoS376d5uHFjavcuN1Dc2tc1Z3TRm9RsTzX1qVj872djXqesoSWAlOG7ovD7R0DrPT7b3hum8FNCRtGpXVDp77DonDB3xSHQ5Mlb7wnROBnTcuh1V7Zmx65yKoXPa0LnR7bfnJ5uhOmdCddr7OlN2nbMBnbbWeS5CZz6GzsuGjniY9V4650J0ZA2ph+mcj6FzIYbOxVCdhvy/ZtVpxdBpx9C5FEPncow+uBJD52oMO7gWw95eiaFzPcb8WYgxT1+NsR68FrpWhevciLG+LcZYR18P6DS1zouTzdD1+o3AvtDQOnOTjVCdTkDH0TrHJ2U/O2DX0TFN/9XvRHNW6bwUoTNh6OjdVnROqP8ftutMGjoTk+09+mpJ/f+oXWcqoNPUOqfV/+fsOjVDZ3Ky0dWR/5+w60yH1O2k0jnj6pgnhHYonbN+j6PtKJ/yrN7tdbTzrPr/hLones6ex4yRh/gd+k7BKXXHQufhnHXvqjd2dVr2PHYaebyh8jjqqPuQE916nFH/3+GoKJ89j11GHq+rPMR7aqqovVsPnccuddr4hj2P3UYeiyoP8d+Oqai8W4/T6v/qdlJnaoc1jz1GHjdUHuJBHulG+qUeOo+6057u7LHnMWvk8ZrKY8+E84zyfN16nOreNah1Dtvz2Gvk8arujwn3zotbD53HERVhP+PmYUY/96k8fNHPBZXHuSmn1vUK5f/6gLSpVzf0riu9K1292i51V+mETa9h6L2i+66rt7hTnfmx6u039K4pvamaq3dV6bWses8Yeld1P3f1ziu9jlXvgKF3Rdt8V++k0quftOkdNPQuazvv6h3T7dN65t2JQ0rPd3fikh5LpTf3qro7NOO4Z5eknVb9Zw39th5HXe51dfdP31WsK/2OVf+wod/S46n0W9fd8z1y9b5Hj+spm/4RQ/+iHldd/wVlg/pEx8wu70yXqf+coX9Bj++0uiu44K5PXvu1vnkqVp9Y9Z2KPa/HuauvTuSrdW/OPfsVeErD0D2nx3ra7buDXd0Tdt1jhu7Leryn3X5rdHXP2HVfMHTn9Zgr3Tmte0DpnrPrvmjontXjrdurdZ9Rui277pyhe0aPtW7vK/rOgtK9YtdtGrqn9TjrOr+i+rmudK/bdY8buqf0GO9Qdda6+5TuDVd3qqt7bPO6UOm2n+ie1OOrdFvXuvf8ne49/pfUiS59teuYuZwwcjmhR1rX4JrSmlT3nmf0yYHj6nvTmstJI5eX9Jjrulxx54qby2Q3l+PW+6GnDIs/rkdf5TJ3xTs5MadXtrO2Wpw2atHUFqDbckn1yI7uOa1atxYnrG05Y+Qyp21B59JWtjCj+nXuSY+4D8IEnu0wRvZFbRW6LS3VlqNqZA/vtlrFvKH7graKGdWbF/W9fKV71K77sqF7TFuF0u1cULV/Uc96u+45Q/eotgWlW9e6c3rW23XPG7rPawvQuudVnZt61tt1Lxi6z+lxV7pz55TucT3r7boXDd0jesx1X72szwLoWW/XbRm6h/VI676a1/fS9Ky367YN3Wf1+Grds/oMgZ71dt1Lhu4hPb47VV9p3dN61tt1Lxu6B/X4Kt25M/qMhdLt2HWvGLoH9Pgq3dZp1d55pTu1x6p71dB9Ro+v0u2cUrovay/arnvN0N2vx1frntTnYZTuHrvuK4ZuQ4+v7iute17p1u261w3duh5f3Vcn9HkgpXvArrtg6O7T46v76iXV3paev3bdVw3dvXp8lefYOq7Kbev5a9d9zdCd1eOrvc6m0r2k569d94ahu0ePr9Kta93Lev7adRcN3d16fJXu3Jy+D6vnr133dUN314TrHUh7X9TnQfT8teu+YejunHB3eNF9QdX5FT1/7bodQ3dmwt2lpa+OKd3rev7adZ3aVt0dE+5OK32ldRf0/HV1zX1qQun69qlpPb67le6zap85oPYZaa/sU+4Dt4b+pKFf02Os9FuH3Ksk9/6g7DBW/SlDf0qPsy7/kD4XovSvKP1626ZfM/QnJ9z9RMo/6J26vK7056z604b+xIS7L0i/H+iettf3UaX9Wn9nV//05hW47vsnTysc1/01odK/rNr/nNZX54/cs+vHJzd/37HmN2Pkd9Rp1NRzjNL+c9prVM8cyWY/2z37/sKk93v9mN2Obn7HN6/MdSDxSX5H1FVrR+34rXPd8ZlWd7QOLNbPqDciqKexN+9pm3ntMvJ6Vj0zfEWfMTzvXVWLL6/zOn+pM6vyOmrPa7eR10F1Va+fCmnpvHaq79fVyVXZCxbVmw7UWmHPa4+R1zMqynBU1+uCG3Vo7lR9fkDtDTsvu17PCXtes0Ze+1XU44Cu1wX3/KJ8l6vwg4tzp9UbHvSzBmfsee018mo47V2qk6ReF7v+qL4vdljtO8cuu15u9zkuc47vM+Z4XT0HIPPygoooNC91nlV3yVp23bqhu0/pXlG68puTlzqHlO4Vu27D0N3rNLTuxUW5zmhfEtNphOruN3TFHnSd2yoac/WSuooJrfMzhu4e9QzyGaXbmnQWLnX2qyhfSF8dMHR3O+1Ztc9c1k/QqL5qhuoetOnK/nZVn3i+pHzd2c3xNnUPGbq7nMZeta/qp4tql8RvlO8n7LrP2nRlP39FzfOrygcL1z1s6O5UzyDXla57HvZlFRXuzp3AWxa0jRq64r+8pub0sc3nAgNvWTC0ZhwV397jLCzOnXdOXunssGo9b9MSH+3VSK2jIVq6hqFaxwytHeqZQ9kNXlvsnHPOX+k+sWhqvRBL60Wblvi8i2qNDdWai6XVDNWS64t2mNZxQ2taPVF7vZfWS1FaV690alatE7G0TsbSOhVL63QsrTOxtM4GtJx67/Gaj2UbL8fSOheidSPS5s/HmikXorTOhs3li7FWgFasNaod0FJ34bpazbD18FLIKrqgvJnQVfSyTUuv250IrSuG1pOdQkU2rnR2WrWu2rT03jR3QZ0L2WXVumZoPdlJOxfUWRS71iuGlt67T+j996I6/7LbqnU9oOXMut7C3EV15maPVWvB0NI+Rkv5J52L6sl0u9arhpb2auQq4byKaF293Jm1ar1maO1z2rvVtcHL6trmalhZNwytutPYrU5znlVXJKLl9kbgGtbY07XvWJ91TqvrBu0rOhNhfsjrhq7rD886Jxdbl9SJMf1MTogv8YahK9d/O1U5zcW5y05N+c6Od042cA1r6MoF4Izy

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