Lec7

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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"lec7_files/filelist.xml"><link rel=3DPreview href=3D"lec7_files/preview.wmf"><link rel=3DEdit-Time-Data href=3D"lec7_files/editdata.mso"><link rel=3DOLE-Object-Data href=3D"lec7_files/oledata.mso"><title>Trees</title><link rel=3DPresentation-XML href=3D"lec7_files/pres.xml"><meta name=3DDescription content=3D"2/2/2005: Tree Walks/Traversals"><meta http-equiv=3Dexpires content=3D0><![if !ppt]><script></script><![endif]></head>

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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"../lec7.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\2687A097\lec7_files\master08.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DRobots content=3DNoIndex><link rel=3DStylesheet href=3D"master08_stylesheet.css"><![if !ppt]><script src=3Dscript.js></script><script></script><![endif]></head>

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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"../lec7.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Trees</title><![if IE]><base href=3D"file:///C:\2687A097\lec7_files\slide0028.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"2/2/2005: Tree Walks/Traversals"><link rel=3DStylesheet href=3D"master08_stylesheet.css"><![if !ppt]><style media=3Dprint></style><script src=3Dscript.js></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"40"/></o:shapelayout></head>

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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"master08.xml"> <p:shaperange href=3D"master08.xml#_x0000_s34817"/><![if !ppt]><p:shaperan=ge href=3D"master08.xml#_x0000_s34818"/><p:shaperange href=3D"master08.xml#_x0000_s34819"/> <div v:shape=3D"_x0000_s34819" class=3DO style=3D'text-align:right;mso-cha=r-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'> </span></div> <p:shaperange href=3D"master08.xml#_x0000_s34820"/><![if !vml]><img border==3D0 v:shapes=3D"_x0000_s34820,_x0000_s34821,_x0000_s34822,_x0000_s34823,_x0000=_s34824,_x0000_s34825,_x0000_s34826,_x0000_s34827,_x0000_s34828,_x0000_s348=29" src=3D"master08_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master08.xml#_x0000_s34832"/><![endif]><p:shaperange href=3D"master08.xml#_x0000_m34830"/><v:shape id=3D"_x0000_s40962" type==3D"#_x0000_m34830" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:108pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master08.xml#_x0000_m34831"/><v:shape id=3D"_x0000_s40963" type==3D"#_x0000_m34831" 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_s40962" class=3DT style=3D'position:absolute;top:12=.75%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Tree Walks/Traversals<=/span></div> <div v:shape=3D"_x0000_s40963" class=3DB><span style=3D'position:absolute; top:30.0%;left:9.73%;width:99.06%;height:6.75%'><span class=3DBB style=3D'position:absolute;left:-3.78%;top:.3em'>¨</span><span lang=3D=DA>A tree walk or traversal is a way of visiting </span></span><span style=3D'position:absolute;top:37.0%;left:9.73%;width:99.06%;height:6.75%'=><span lang=3DDA>all the nodes in a tree in a specified order. </span></span>=<span style=3D'position:absolute;top:45.5%;left:9.73%;width:100.18%;height:6.75%='><span class=3DBB style=3D'position:absolute;left:-3.73%;top:.3em'>¨</span><s=pan

lang=3DDA>A preorder tree walk processes each node </span></span><span style=3D'position:absolute;top:52.75%;left:9.73%;width:84.45%;height:6.75%='><span lang=3DDA>before processing its children </span></span><span style=3D'position:absolute;top:61.25%;left:9.73%;width:89.32%;height:6.75%='><span class=3DBB style=3D'position:absolute;left:-4.19%;top:.3em'>¨</span><s=pan lang=3DDA>A postorder tree walk processes each </span></span><span style=3D'position:absolute;top:68.25%;left:9.73%;width:84.45%;height:6.75%='><span lang=3DDA>node after processing its children</span></span></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"master08.xml"> <p:shaperange href=3D"master08.xml#_x0000_s34817"/><![if !ppt]><p:shaperan=ge href=3D"master08.xml#_x0000_s34818"/><p:shaperange href=3D"master08.xml#_x0000_s34819"/> <div v:shape=3D"_x0000_s34819" 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'> </span></div> </div> <p:shaperange href=3D"master08.xml#_x0000_s34820"/><![if !vml]><img border==3D0 v:shapes=3D"_x0000_s34820,_x0000_s34821,_x0000_s34822,_x0000_s34823,_x0000=_s34824,_x0000_s34825,_x0000_s34826,_x0000_s34827,_x0000_s34828,_x0000_s348=29" src=3D"master08_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master08.xml#_x0000_s34832"/><![endif]><p:shaperange href=3D"master08.xml#_x0000_m34830"/><v:shape id=3D"_x0000_s11266" type==3D"#_x0000_m34830" style=3D'position:absolute;left:30pt;top:30pt;width:612pt;height:54pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape> <div v:shape=3D"_x0000_s11266" class=3DT style=3D'position:absolute;top:7.=0%; left:5.24%;width:83.14%;height:7.75%'><span lang=3DEN-US style=3D'font-siz=e:90%; mso-ansi-language:EN-US'>Traversing Trees (preorder)</span></div> <p:shaperange href=3D"master08.xml#_x0000_m34831"/><v:shape id=3D"_x0000_s=11267" type=3D"#_x0000_m34831" style=3D'position:absolute;left:25.375pt;top:276p=t; width:591.625pt;height:204.25pt' 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" size=3D"half"/><p:animation n=umber=3D"2" delay=3D"0" type=3D"text" level=3D"1" effect=3D"dissolve"/><p:tag name==3D"___PPT2001" type=3D"binary" datasize=3D"36" dataoffset=3D"1"/></v:shape> <div v:shape=3D"_x0000_s11267"> <div id=3D"_x0000_s11267_0_19" class=3DHB style=3D'mso-line-spacing:"80 20= 0"; position:absolute;top:51.0%;left:4.49%;width:80.33%;height:6.0%;white-spac=e: nowrap'><span style=3D'position:absolute;top:0%;left:4.66%;width:95.33%; height:100.0%'><span style=3D'mso-special-format:bullet;color:#9999CC; mso-color-index:5;position:absolute;left:-4.88%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span><span lang=3DEN-US style=3D'mso-ansi-language:E=N-US'>preorder traversal </span></span></div> <div id=3D"_x0000_s11267_19_45" class=3DHB style=3D'mso-line-spacing:"80 2=0 0"; position:absolute;top:57.25%;left:4.49%;width:80.33%;height:6.0%;white-spa=ce: nowrap'><span style=3D'mso-special-format:nobullet;display:none;color:#999=9CC; mso-color-index:5;font-family:Wingdings;font-size:75%'>¨</span><span lang=3DEN-US style=3D'mso-ansi-language:EN-US'><span style=3D'mso-spacerun:yes'>    </span>Algorithm preOrder(v)= </span></div> <div id=3D"_x0000_s11267_45_61" class=3DHB1 style=3D'mso-line-spacing:"80 =20 0"; position:absolute;top:63.5%;left:9.55%;width:75.28%;height:5.25%;white-spa=ce: nowrap'><span style=3D'mso-special-format:nobullet;display:none;font-famil=y: Wingdings;font-size:75%'>¨</span><span lang=3DEN-US style=3D'font-size=:83%; mso-ansi-language:EN-US'><span style=3D'mso-tab-count:1;width:4.15%'> </sp=an></span><span lang=3DEN-US style=3D'mso-ansi-language:EN-US'>“visit” node v&=#13;</span></div> <div id=3D"_x0000_s11267_61_87" class=3DHB1 style=3D'mso-line-spacing:"80 =20 0"; position:absolute;top:68.75%;left:9.55%;width:75.28%;height:5.25%;white-sp=ace: nowrap'><span style=3D'mso-special-format:nobullet;display:none;font-famil=y: Wingdings;font-size:75%'>¨</span><span lang=3DEN-US style=3D'mso-ansi-=language: EN-US'><span style=3D'mso-tab-count:1;width:4.15%'> </span>for each child =w of v do </span></div> <div id=3D"_x0000_s11267_87_121" class=3DHB1 style=3D'mso-line-spacing:"80= 20 0"; position:absolute;top:74.0%;left:9.55%;width:75.28%;height:5.25%;white-spa=ce: nowrap'><span style=3D'mso-special-format:nobullet;display:none;font-famil=y: Wingdings;font-size:75%'>¨</span><span lang=3DEN-US style=3D'mso-ansi-=language: EN-US'><span style=3D'mso-tab-count:2;width:6.64%'> </span>recursively per=form preOrder(w) </span></div> <div id=3D"_x0000_s11267_121_162" class=3DHB style=3D'mso-line-spacing:"80= 20 0"; position:absolute;top:79.5%;left:4.49%;width:91.76%;height:6.0%;white-spac=

e: nowrap'><span style=3D'position:absolute;top:0%;left:4.08%;width:95.91%; height:100.0%'><span style=3D'mso-special-format:bullet;color:#9999CC; mso-color-index:5;position:absolute;left:-4.25%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span><span lang=3DEN-US style=3D'mso-ansi-language:E=N-US'>reading a document from beginning to end</span></span></div> </div> <p:shaperange href=3D"master08.xml#_x0000_m34831"/><v:shape id=3D"_x0000_s=11269" type=3D"#_x0000_m34831" style=3D'position:absolute;left:330.125pt;top:90.=75pt; width:354.125pt;height:241.5pt' o:spt=3D"75" o:preferrelative=3D"t" o:use=rdrawn=3D"f" path=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" fillcolor=3D"#99f [4]" strok=ed=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:stroke joinstyle=3D"miter"/> <v:imagedata src=3D"slide0010_image002.wmz" o:althref=3D"slide0010_image0=03.pcz" o:title=3D""/> <v:shadow on=3D"f" color=3D"#00007d [2]"/> <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"object" position=3D"2" size=3D"half"/><p:tag name=3D"___PPT2001" type=3D"binary" datasize=3D"36" dataoffset=3D"2"/></=v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s11269" src=3D"slide0010_image004.gif" style=3D'position:absolute;top:16.75%;left:45.88%;width:49.25%;height:44.7=5%'><![endif]></p:slide></div>

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------=_NextPart_01C50927.523A3C90Content-Location: file:///C:/2687A097/lec7_files/script.jsContent-Transfer-Encoding: quoted-printableContent-Type: application/javascript; charset="us-ascii"

function LoadSld(){

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

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

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

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

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

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

FullScrInit();=09

MakeSldVis();ChkAutoAdv()

if( runAnimations ){

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

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

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

elsedocument.body.start();

}}function MakeSldVis(){

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

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

}SlideObj.filters.revealtrans.Apply()

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

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

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

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

}return 1

}function ChkAutoAdv(){

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

elseAutoAdv()

}function AutoAdv(){

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

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

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

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

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

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

elsever=3DparseInt(appVer)

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

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

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

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

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

ScaleHyperlinks( factor )}function _InitAnimations(){

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

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

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

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

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

}}

}if( g_animItemsToHide ) {

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

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

}if( g_animInteractiveItems ){

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

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

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

adjustedTime =3D

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

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

}}return g_animUseRuntime;

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

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

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

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

elseparent.GoToNextSld();

}CatchNumKeys( parent, event );

}function CatchNumKeys( win, event ) {

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

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

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

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

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

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

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

}}

}function _KDH(){

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

}}function DocumentOnClick(){

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

parent.IsFrames=Mode() ) ||

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

g_animMainSequence.cangonex=t )

return;parent.GoToNextSld();

}

}

var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""=, g_bgSound=3D"", g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser ==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=3D16, 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("slide0028.htm",1,-1,1),new hrefList(="slide0010.htm",1,-1,1),new hrefList("slide0011.htm",1,-1,1),new hrefList("=slide0031.htm",1,-1,1),new hrefList("slide0036.htm",1,-1,1),new hrefList("s=lide0012.htm",1,-1,1),new hrefList("slide0013.htm",1,-1,1),new hrefList("sl=ide0037.htm",1,-1,1),new hrefList("slide0014.htm",1,-1,1),new hrefList("sli=de0029.htm",1,-1,1),new hrefList("slide0015.htm",1,-1,1),new hrefList("slid=e0016.htm",1,-1,1),new hrefList("slide0032.htm",1,-1,1),new hrefList("slide=0033.htm",1,-1,1),new hrefList("slide0034.htm",1,-1,1),new hrefList("slide0=035.htm",1,-1,1));function FullScrInit(){

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

}function Redirect( frmId ){

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

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

}return 0

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

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

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

}return '';

}function GetTags(base,tag){

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

}function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP=refix+GetHrefObj( gCurSld ).mNtsHref ) }function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }function SetHasNts( fVal ){

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

}}function ToggleOtlText(){

gOtlTxtExp=3D!gOtlTxtExpUpdOtlPane()

}function ToggleOtlPane(){

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

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

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

}function ToggleNtsPane(){

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

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

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

}function ClearMedia(){

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

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

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

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

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

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

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

}

else{

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

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

}function ToggleVNarration(){

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

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

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

elsereturn;

}else if( PPTSld.g_animUseRuntime ){

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

narObj.togglePause()}

}function GetCurSldNum(){

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

return obj.mSldIdxelse

return gCurSld}function GetNumSlds(){

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

elsereturn GetSldList().mList.length

}function GetSldNum( href ){

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

return ii+1}return 1

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

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

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

}}else {

obj=3DGetHrefObj( ii )

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

if( obj && obj.mOrigVis ) {GoToSldNum(ii)return

}}if( gSldStack.length > 1 )

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

if( gLoopCont )GoToFirst()

elseEndShow()

}}function GoToPrevSld(){

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

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

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

GoToSldNum(ii)}

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

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

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

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

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

}function GoToSld( href ){

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

}function SldUpdated( id ){

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

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

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

function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }function CloseWindow() {

if( HideMenu() ) return;var event =3D PPTSld.event;if( !IsFramesMode() && event && (event.keyCode=3D=3D27 ||

event.keyCode=3D==3D32 || event.type=3D=3D"click" ) )

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

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

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

}function EndShow(){

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

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

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

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

}function SldList(arr,curSld,fEnd){

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

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

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

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

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

if( !IsFullScrMode() ) return;var sldList =3D new Array();

var custShow =3D custShowList[idx-1];var jj =3D 0;for( ii=3D0;ii<custShow.length;ii++ ) {

if( custShow[ii] <=3D gMainDoc.length )sldList[jj++] =3D gMainDoc[custShow[ii]-1];

}if (sldList.length > 0) {PushSldList(sldList,fEnd);gCurSld =3D 1;}else

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

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

}function PopSldList() {

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

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

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

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

}function _IBSetA(){

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

}}function _IBSetI(){

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

}}function _IBSetP(){

if( this.mIsOn ) {

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

}}function _IBSetD(){

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

}function _IBSetE( state ){

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

t.mIsOn=3Dstateif( state )

t.SetInactive()else

t.SetDisabled()}

}function _IBP(){

var t=3Dthisif( t.mIsOn ) {

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

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

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

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

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

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

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

obj=.style.posTop

t.mCurState=3DnextStatereturn obj

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

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

t.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"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"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() ) }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

}

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<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"../lec7.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\2687A097\lec7_files\fullscreen.htm"id=3D"webarch_temp_base_tag"><![endif]><script src=3Dscript.js></script><script></script></head>

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

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<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('slide0028.htm');" id=3DPPTL1>Tree Walks/Trave=rsals</a></font></div> <div id=3DPPTC1 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A tree walk or traversal is a way of visiting all the nodes in a tre=e in a specified order.</li> <li>A preorder tree walk processes each node before processing its child=ren</li> <li>A postorder tree walk processes each node after processing its child=ren</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>2</font></div> </td> <td> <div id=3DPPTP2 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0010.htm');" id=3DPPTL2>Traversing Trees (preorder)</a></font></div> <div id=3DPPTC2 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>preorder traversal</li>

<li><span style=3D'mso-spacerun:yes'>    </span>Algorithm preOrder(v)</li> <ul> <li> “visit” node v</li> <li> for each child w of v do</li> <li> recursively perform preOrder(w)</li> </ul> <li>reading a document from beginning to end</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>3</font></div> </td> <td> <div id=3DPPTP3 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0011.htm');" id=3DPPTL3>Traversing Trees (postorder)</a></font></div> <div id=3DPPTC3 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>postorder traversal</li> <ul> <li>Algorithm postOrder(v)</li> <li> for each child w of v do</li> <li> recursively perform postOrder(w)</li> <li> “visit” node v</li> </ul> <li>du (disk usage) command in Unix</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>4</font></div> </td> <td> <div id=3DPPTP4 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0031.htm');" id=3DPPTL4>Traversals of Bi=nary Trees</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>5</font></div> </td> <td> <div id=3DPPTP5 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0036.htm');" id=3DPPTL5>Examples of pre =and postorder</a></font></div> <div id=3DPPTC5 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>We assume that we are only printing the data in a node when we visit= it.</li>

<li>Preorder<span style=3D'mso-spacerun:yes'>      &nbsp=; </span>Postorder</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('slide0012.htm');" id=3DPPTL6>Evaluating Arith=metic Expressions</a></font></div> <div id=3DPPTC6 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>specialization of a postorder traversal</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>7</font></div> </td> <td> <div id=3DPPTP7 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0013.htm');" id=3DPPTL7>Traversing Trees=</a></font></div> <div id=3DPPTC7 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Besides preorder and postorder, a third possibility arises when v is visted between the visit to the left ad right subtree.</li> <br> <br> <li>Algorithm inOrder(v)</li> <li><span style=3D'mso-spacerun:yes'>      </sp=an>if (v =3D=3D null) then return</li> <li><span style=3D'mso-spacerun:yes'>      </span>else inOrder(v.leftChild())</li> <li> <span style=3D'mso-spacerun:yes'>      &nbsp=;   </span>visit(v)</li> <li> <span style=3D'mso-spacerun:yes'>      &nbsp=;   </span>inOrder(v.rightChild())</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>8</font></div> </td> <td> <div id=3DPPTP8 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0037.htm');" id=3DPPTL8>Inorder Example<=/a></font></div> <div id=3DPPTC8 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Inorder</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('slide0014.htm');" id=3DPPTL9>Euler Tour Trave=rsal</a></font></div> <div id=3DPPTC9 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>generic traversal of a binary tree</li> <li>the preorder, inorder, and postorder traversals are special cases of= the Euler tour traversal</li> <li>“walk around” the tree and visit each node three times:<=/li> <ul> <li>on the left</li> <li>from below</li> <li>on the right</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>10</font></div> </td> <td> <div id=3DPPTP10 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0029.htm');" id=3DPPTL10>Printing an ari=thmetic expression</a></font></div> <div id=3DPPTC10 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Printing an arithmetic expression -<span style=3D'mso-spacerun:yes'>= </span>so called Euler’s walk:</li> <ul> <li>Print “(“ before traversing the left subtree, traverse =it</li> <li>Print the value of a node</li> <li>Traverse the right subtree, print “)” after traversing =it</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>11</font></div> </td> <td> <div id=3DPPTP11 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0015.htm');" id=3DPPTL11>Template Method= Pattern</a></font></div> <div id=3DPPTC11 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>generic computation mechanism that can be specialized by redefining certain steps</li> <li>implemented by means of an abstract Java class with methods that can= be redefined by its subclasses</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>12</font></div> </td> <td> <div id=3DPPTP12 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0016.htm');" id=3DPPTL12>Specializing Ge=neric Binary Tree Traversal</a></font></div> <div id=3DPPTC12 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>printing an arithmetic expression</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>13</font></div> </td> <td> <div id=3DPPTP13 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0032.htm');" id=3DPPTL13>Building tree f=rom pre- and inorder</a></font></div> <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Given the preorder and inorder traversals of a binary tree we can uniquely determine the tree.</li> <li>Preorder<span style=3D'mso-spacerun:yes'>      &nbsp=;             </span>Inorder</li> </ul> </font></div> </td>

</tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>14</font></div> </td> <td> <div id=3DPPTP14 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0033.htm');" id=3DPPTL14>Building tree f=rom post and inorder</a></font></div> <div id=3DPPTC14 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>In place of preorder we can use postorder.</li> <li>The last node visited in the postorder traversal is the root of the binary tree.</li> <li>This can then be used to split in the inorder traversal to identify =the left and right subtrees.</li> <li>Procedure is similar to the one for obtaining tree from preorder and inorder traversals.</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('slide0034.htm');" id=3DPPTL15>Insufficiency o=f pre & postorder</a></font></div> <div id=3DPPTC15 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Given the pre and postoder traversal of a binary tree we cannot uniq=uely identify the tree.</li> <li>This is because there can be two trees with the same pre and postord=er traversals.</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('slide0035.htm');" id=3DPPTL16>A special case<=/a></font></div> <div id=3DPPTC16 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>If each internal node of the binary tree has at least two children t=hen the tree can be determined from the pre and post order traversals.</=

li> <li>Preorder<span style=3D'mso-spacerun:yes'>      &nbsp=;            </span>postorder</li> </ul> </font></div> </td> </tr></table>

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

Tk8mWU8WOrUdbtunIx/hddjRgtoOdGqbkK/tqHxtJzm1DKvNOTa1LR9ot761OevHqXWu1TLKap3pxB0lal3mq/WUfK2UarcoxKl1itU64NQ62mqdYr/nVxOL1bq8oFbi5QlODOu0pd3i5zFWa988q8WJcSc4a6B9qNbR+VoPzdd6slPdUK0nW625CNCptdOO8IvH5drubDX7fW7E+Os6JaiuaU4Ls7m1x8hZZnVxFHWinOJ1DRTUlYv0aZdT1xgnihgfWFdHvq5Z7jmn9bx/aCQvt3bNyeb2Rsoe1u5GTT3Ov6cGrqm2tuEtcmqZb+O+Z6gWZ8Sxbznrv3jv2gvqysV7o6w3E/N19eRH78R+Z0gWq6sjqK751ruefF25rdBhM9fE/GiblqtrbL6uee7ZrtXV7atrztBaz42p8fw7166x+ZHL73Ohuq++UUH19QyNiDFWvmt8rp9jnThrWH3+LTk6aEtOGxqto/P10b5RQ3OIv5YxQbVMGdqTOm1tUwuxYmfxWsYWqcXdy51aplgtPU4t05yP7puvZX/3rNtZQ0O15MZ5m22tI2xe6/LM0P6y4wvK2tpos7PMI2xfnWgz7JzgshN8ZZd1EIuwEUZb2dwZwWDZvfJlJ7pn406xobIndrBfO/FmD2UXFenpJN8Sl3ZkO+wIzpF/gR1X2mx99QSP8cm+MX5ch0UnTjTfYWupzVrb4axrtkl+3c8MrqvLV9diq2ua7f0DzgzXaWuNWWqUjanp+ZlmWvDM0u0bA4usLmdmyZ1ljLZ29VldjMep7sySzddykHsWbz/tHaqlz2phEpmSn3MPbu/Ob9euA4PKH+Arf7SVZwcjNuqwVkyz8j1WfmBqUPkpvvJH5cfChOVdnbb8A608ASGz09SgLTvVt2WPtPJjOizKONx6fbAzVwePwwN9ZRdY2WkddgbrlJ3lHNWCyx7kKzvP+t1jyyWioOxsK9sRXHaar+zhzjq35Q4clo/YONvsDCw73Vf2MCu7zJbb5ZQ91MouCy47w1e21xnJnbbfHWpl51ibi5Q92Fd2tjNyO2209VrZw51z3OCyM31lZ1nZ+bbcHqfsPCu7OLjsLF/ZmbaNFjvL7bGy853MXXDZQ3xlZ1hZtgnLdcoeYWX7gsvO9pWd5ozLUTauZlvZI52YL7hsj6/sgdbfmbbcLqfsUU4EHly211d2irOubLk9h1jZY6zNRcoe6iu7v5VdastlKFO238rOCS57mK9sl5XtGG3jyim7yDkWBJed4ys7ycpOGW3jysnILrayM4PLHu4rO8HZj2y5A05W6ThnNg0uO9dXdpyzH9lye5yyS63stOCy83xlx9r2XWbL7ZthZU9w4uTgsvN9ZUdb2QljbLlO2ROdo29w2QW+sp3OurKzs77pVnaZc/wPLnuEr2y7M+PbcrucssutzROCyx7pK5t11pUtt2ealT3FmSeDyy70lT2l3eZ4Wy7nsZTlcFy07FG+ssut7Mwx2XnL+yZmpx87sMSZJ4PLHu0re1J7rr9DZW2ezF0P8R9XjvEdVw6148gEixPYfyl7bLZ3nM31HFecxLn/SN3nO1If0t7dkcujdfVYRNXjRKMdFj2OtYjreGfuzLXFH4n2+yLRme3dnbkouS+wLmfcEmFwDJwY1LZFvrYd3N7faWeGtK03uD5+v6w9sG3H+to2o93NNnIQ7yW6sQh+wIkJJ1pdvc65LYHP8i7nYsrkfH2L3ByGE5UM1Te9PZf7nGTHiW4na+ucIbj1OVdenGx612SLF8Y4UUuurf66l/jqdmILmjl+ec+h+fOwjuC6OUV3ryYtDK77OF/dB1ndRIjMQ/m6+9vzWXGnbid74dTdN2kwVp6fq7s7X/fxbkYkF8N76s6dA3bkzwHH2b8X2vbOnYEda+toIB8VTrQ5MNcWzjScdPeUfP3L3WyJsw2H6j+wPXd22JE/Oxybr5+2dgbXP7w9uUt9/qWcEHIp7Xbm4i5lmROPOktx9vT5+aXkjtxwUH4pp7o5Fme/9S5l8GqEU0uxpbTnzxKdqywcNDvzZ0JOziCXcM/4l3WSb1lTh9aT06MxQcta6vR42LLctjlXTvLLmp5f1pluXsYZX2GW1ZPPKQ3uwx1Wd/vQWJ44/OpO37ig9bi8oG+5s+X93bP6/NabkN86Tt8W5zMIbt+6bD26fbPjcHDfTi7oW/CyRuUzf+MH+5Zbdoe3b87Za3dn7mw21zf/8k4JubyOfLZynHd5Y/NnaBGWNxC0vFz59sHlLXQyd22DV2onDI2Lcsvzbztnavdvuz7fWJnQNjjGjx2cU3OZCHfbue1z/j0zeB9oK1hWwLiMsCzvOPHPIO3tw2eQUMuaY+eSuX8vzg7//LzAearDt5ShGcQzT0Vein+9dfrWW+BsON+ZO3xjIpeRKTV3+Jc1qmBZ3YXHDydT1ldyWUFzon/tjS7YRr3O+ThlD8tl4Wz7ZoevPefYVGqW9x8RxzgLH1rKlPbcFRX3aDs2n6Xu9B4RPUtxjlhOq7rGB9U/1lf/Ae297XaUGG9nus4a6m7L5XA89S9zcu3DjrijitQ/zld/d3u/k/92jqj9/QOj8iN7vHd29dR//OD15J7A+sf76u+yrTBlKLfjXI+eMtb632GRjedokY9G+50ZhzMwp35/Pn+CM6KGop3JVv9MuzLV5+Sd2oOivpkddtWgza6XOFcvCzKuE52xM1TrRKt1oZMLcnJJgbEkMfjM/Fr2x2STrCpPTDahPXfVZkI+W5YNqm9KRy4Tl12UO2bOyY1z/xqY7FsD45010G5ZvcCY3DmHnebE5G1D49pfa5ev1rFONN2eyzgE1urONT3tuUyIs939mT5nPQydy4yxWvusVs5F3HOZCbZ/d40emrH8tezvq2W0szatloGhM6IxztpzapkbWMsBvlo6rRanlOe8qsP59+hcXsjwX+mcYrV4rnR2OLOMkwEbyM5qt56MyWekAkpP9ZVut9LT8qWnWmlObLuLlT7QVzprpefkS090RoBT+rDA0gf5Sg+02bbIl85aabask4cLKj3NV/pkuwq/NF96uZM9d0r3Bpae7iu93Jbd0ZkrvcSZDcdZy4NLz/CVXmalJ+RLH+XMdeNy2ceg0gf7Sp9oLZ+WL93r5GfH5fOeAaVn+kqfYMueky89Kz+PdxcrPctXeqmVXpgvPdVZa07pQwJLH+IrfZyVXpovPdFp+fh8tjeg9Gxf6SXOOh+V397OWptgpWcGlu7xlV7srPN86eXO8W2CtTy4dK+v9CIrPS1feomV7nLOBZw7sgoy485tqZ7sSb+V7nFKn2x76lTbU3MLLswG+sr2OWvcyZyWLTvHV/ZoZ3072c+yZQ/3lT3Kyg44bV7uL+ufmeb6ZqaFVnaMk4VcPnR0aBuce517YAvmt3m+Wo5w1rnV0hWhlvm+WhY4695qIQooWos/z7PAOZAMHU3m2T433+mRr5aeoSggv3b8x+YjfMfmudaixU6udFku/uztyMeUo3LnDL3t+XMOpxv+I92RviPd4c6Wcnp4Ui7G7M3nYnL1OecFXUMRV67H/loX+mo9zHo8xjKNfYG1OpHstKE4MVerP444yhdHHGptneLka91a3avnTi1Th+6YHYqn8+vVX/fRvrp7re6ZTk52qO6eoXPFqYPnTwMFdfvXxjG+tTHb2QudtXGiL3eWXxuD9yl41oZ/JPT5RsIhzkhw1ka+VjcTkKv1ACezNTQS/Gug37cGxrZ1t+djz55c1s2y45OsPudsZOLgqO3rHMxkFFm7i3x1j2rr77DPOleOctdHOwao0al7Yn4PyO0RnYOZhiJ1H+uru7Ott9NGKFvuUKu7w87Sl1rd9ldv3V1O3RM8dfvPohb7zqLa23LXecdaZErdTuzl3C/Dv4mnJ3bkMnKdtie7oyR3v2lH8XG9xNeDNicWcfKhh2WPyt/l1JfvwUS7a2twzXcM5pjyPfCfgRznOwNx626zFnMGMqE9dy8b+/Oxubot/z00apx7opYNjZqCnKiv/qytofn53JrdYdY+eIYUWP9E57pB22D9BTlR3xYYyN/5O+yOpaVjc3dI2F35HbkzNHddTc3f5d1pvx/cAv4z8xN8Z+YD+VnOvSfEOU9b7JyntQ/elzNnYm7G7ras8eAWcc7kD/BskYLMqG9ZpwzOfe4dTjYbjPWd5RdZ1sR8Jj6/LH/G6yRnZPmWNdN7B5StnTDLymdDbBb0zCH+vi0r6FsuJ+PeJTXelwUe05HLxHZ6t5abdZg4fFb1j4zlvpFxcjY77F4qNxvvbpPRRZY1edgs61/KyUWXkutB4FIWOzFdZ/ilnBK0lDlD91+N82VGA5cyx5bSV2IpAwVL6S+8M2v+2NydVJ2L7L491v7EXO66266VBEU7/hkhNxn4luK/Xyt4KWMH+9LRXnTGaSuoP1t4/5ZTvzdrGr7+9qD6PXd2jfLVn8uUhq+/o0j9w+75mj/Wl7EvXr8/2ui0qr33eDrrfyjz57nisCh8DDvKabC31mz+fiJOsCd6n04aWOSP8P11jfbVdXK2e6iuYU9Ila9rjK+uZc5zBM6Z6JzhT2l1Heuvy3+e5jyS5zlPO8liZyd72DMnN6vbsawr69y7nvXfLz3OSnvulz4hm8sluveXddlMkct9DuS3f8Zfx3hfHUuzuXzhKJuPnTr62/JPgQxkl7cH1jHBV8dx1o6Z+TtTZzlHZCeuG1uijom+Opbkn10ZZ1d+FhAV2FV09rmJVscJwXVM8tVxbD6XeWD+7ignLsvdf8dZcK4O//3jk60Oz/3ji6wdA3YVui93/3f+vtSufDaPSp2r2f56unz19GVzd6eNyedJx+Qz8ePy2e6Bjn4nk+kfId2+EXKMtafLyQse

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