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Almira Karabeg, Uke 7
Oktober 3, 2005
Page ‹#›
Depart= ment of Informatics, University of Oslo, Norway
INF= 1020 – Algorith= ms & Data Structures
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 1
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
=
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Uke 7,
Graf Algoritmer
MAW 9.1-9-3-1
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 2
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: GRAFER
Grafer
Dagens plan:
Definisjon av en graf (kapittel 9.1)
Grafvarianter
Intern representasjon av grafer
(kapittel 9.1.1)
Topologisk sortering (kapittel 9.2)
Korteste vei, en-til-alle, uvektet graf (kapittel 9.3.1)
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 3
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
§Det første grafteoretiske problem= :
§Broene i Königsberg&#= 13;
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§Er det mulig å ta en spasertur som krysser hver av broene nøyaktig en
§gang?
§Dette problemet ble løst av Euler al= lerede i 1736!
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 4
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
Eksempler på graf problemer
Labyrint
Trær
Kart
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u3WyQf/Q9lREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREH//Z ------=_NextPart_01C5C613.9FB6C200 Content-Location: file:///C:/AA44A271/INF1020-grafer1_files/slide0228.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" No Slide Title_澳门葡京手机版app下载
Almira Karabeg, Uke 7
Oktober 3, 2005
Page 5
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
§
§
§Hva er en graf?
§
<= span style=/://3/3D'font-family:Garamond'>§ <= /span>En graf G =/://3/3D (V,E) består av en mengde noder, V, og en mengde kanter, E
§ <= /span>|V| og |E| er henholdsvis antall noder og antall kante= r i grafen
§ <= /span>Hver kant er et par av noder,= dvs. (u, v) slik at u, v εV
§ <= /span>En kant (u, v) modellerer at u er relatert til v
<= span style=/://3/3D'font-family:Garamond'>§ <= /span>Dersom nodeparet i kanten (u, v) er ordnet (dvs. at rekkefølgen har
§betydning), sier vi at grafen er rettet, i motsatt fall er den urettet
§
§Mer morsom innledning er på siden = http://mathworld.wolfram.com/Graph.html
= ;
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 6
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
Hvorfor grafer?
De dukker opp i veldig mange problemer i hverdagslivet:
Flyplassystemer
Datanettverk
Trafikkflyt
Ruteplanlegging
VLSI (chip design)
og mange flere . . .
Grafalgoritmer viser veldig g= odt hvor viktig valg av datastruktur er mhp.
tidsforbruk
Det finnes grunnleggende algoritmeteknikker som løser mange
ikke-trivielle problemer rask= t
= ;
------=_NextPart_01C5C613.9FB6C200 Content-Location: file:///C:/AA44A271/INF1020-grafer1_files/slide0230.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" No Slide Title_澳门葡京手机版app下载
Almira Karabeg, Uke 7
Oktober 3, 2005
Page 7
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
Flere definisjoner og grafvarianter
Node y er nabo-node (eller etterfølger) til node x dersom (= x= , y= ) εE
En vei (eller sti) i en graf er en sekvens av noder = v= 1, v2, v= 3, . . . , vn slik
at (vi, v= i+1) εE for 1 ≤ i n−1
Lengden til veien er lik antall kanter på veien, dvs.= n − 1
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 8
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
§Kostnaden til e= n vei er summene av = vektene langs veien
§<= /span>En vei er e= nkel dersom alle no= dene (untatt muligens første og siste)
på veien er forskjellige
§<= /span>Våre graf= er har vanligvis ikke “loops”, (v, v), eller “multikanter”
(to like kanter):
§<= /span>En løkke= (sykel) i en rettet graf er en vei med lengde ≥1 slik at v= 1=/://3/3D vn.
Løkken er enkel dersom stien er enkel
§<= /span>I en urettet gr= af må også alle kanter i løkken være forskjellige= 3;
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 9
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
Subgraf
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 10
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
En rettet graf er asyklisk= dersom den ikke har noen løkker
En rettet, asyklisk graf blir= ofte kalt en DAG (Directed, Acyclic Graf)
En urettet graf er sammenheng= ende dersom det er en vei fra hver node til alle andre noder
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file:///C:/AA44A271/INF1020-grafer1_files/slide0233.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" No Slide Title_澳门葡京手机版app下载
Almira Karabeg, Uke 7
Oktober 3, 2005
Page 11
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
En rettet graf er sterkt sammenhe= ngende dersom det er en vei fra = ;
hver node til alle andre node= r
En rettet graf er svakt sammenhen= gende dersom den underliggende = ;
urettede grafen er sammenheng= ende
Graden til en node i en urettet graf er antall kanter mot noden
Inngraden til en node i en rettet graf er antall kanter inn til noden
Utgraden til en node i en rettet graf er antall kanter ut fra noden.
= ;
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 12
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
Hvordan representere grafe= r?
Nabo-matrise:
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 13
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
Nabo-liste
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 14
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
Representasjon av rettede grafer:
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 15
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 16
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 17
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 18
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 19
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 20
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 21
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Korteste vei, en-til-alle
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Pro= blemstilling: gitt en rettet graf G (vektet eller uvektet), finn korteste
vei= fra én gitt node til alle andre noder
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------=_NextPart_01C5C613.9FB6C200 Content-Location: file:///C:/AA44A271/INF1020-grafer1_files/slide0243.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" No Slide Title_澳门葡京手机版app下载
Almira Karabeg, Uke 7
Oktober 3, 2005
Page 22
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 23
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
Negative kanter må ikke være vanskelige
Negativ kost løke (problemet som kan oppstå pga negative kanter)
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 24
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
Problemstilling= 3;
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file:///C:/AA44A271/INF1020-grafer1_files/slide0222.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" No Slide Title_澳门葡京手机版app下载
Almira Karabeg, Uke 7
Oktober 3, 2005
Page 25
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" No Slide Title_澳门葡京手机版app下载
Almira Karabeg, Uke 7
Oktober 3, 2005
Page 26
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 27
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
 
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 28
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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Almira Karabeg, Uke 7
Oktober 3, 2005
Page 29
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: graf algoritmer
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document.body.scroll=/://3/3D"no" _RSW() if( IsWin("PPTSld") && parent.IsFullScrMode() ) FullScrInit(); =09 MakeSldVis(); ChkAutoAdv() if( runAnimations ) { if( document.all("NSPlay") ) document.all("NSPlay").autoStart =/://3/3D false; if( sld.filters && sld.filters.revealtrans ) setTimeout( "document.body.start()", sld.filters.revealtrans.duration * = 1000 ); else document.body.start(); } } function MakeSldVis() { var fTrans=/://3/3Dg_showAnimation && SldHasTrans() if( fTrans ) { if( g_bgSound ) { idx=/://3/3Dg_bgSound.indexOf(","); pptSound.src=/://3/3Dg_bgSound.substr( 0, idx ); pptSound.loop=/://3/3D -(parseInt(g_bgSound.substr(idx+1))); } SlideObj.filters.revealtrans.Apply() } SlideObj.style.visibility=/://3/3D"visible" if( fTrans ) SlideObj.filters.revealtrans.Play() } function MakeNotesVis() { if( !IsNts() ) return false SlideObj.style.display=/://3/3D"none" nObj =/://3/3D document.all.item("NotesObj") parent.SetHasNts(0) if( nObj ) { nObj.style.display=/://3/3D"" parent.SetHasNts(1) } return 1 } function ChkAutoAdv() { if(SldHasTrans()) SlideObj.onfilterchange=/://3/3DAutoAdv else AutoAdv() } function AutoAdv() { if(!IsWin("PPTSld") || !gUseSldTimings )return var sld=/://3/3DGetCurSld() 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")!=/://3/3D""= } function GetSldId() { return sId=/://3/3Dlocation.href.substring(location.href.la= stIndexOf('/')+1) } function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx= tmenu") && PPTSld.ctxtmenu.style.display!=/://3/3D"none" ) { PPTSld.ctxtmenu.styl= e.display=/://3/3D'none'; return true } return false } function IsWin( name ) { return window.name =/://3/3D=/://3/3D name } function IsNts() { return IsWin("PPTNts") } function IsSldOrNts() { return( 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hrefList("slide0233.htm",1,-1,1),new hrefList("slid= e0234.htm",1,-1,1),new hrefList("slide0235.htm",1,-1,1),new hrefList("slide= 0236.htm",1,-1,1),new hrefList("slide0083.htm",1,-1,1),new hrefList("slide0= 238.htm",1,-1,1),new hrefList("slide0239.htm",1,-1,1),new hrefList("slide02= 40.htm",1,-1,1),new hrefList("slide0241.htm",1,-1,1),new hrefList("slide024= 2.htm",1,-1,1),new hrefList("slide0198.htm",1,-1,1),new hrefList("slide0243= .htm",1,-1,1),new hrefList("slide0223.htm",1,-1,1),new hrefList("slide0224.= htm",1,-1,1),new hrefList("slide0222.htm",1,-1,1),new hrefList("slide0244.h= tm",1,-1,1),new hrefList("slide0245.htm",1,-1,1),new hrefList("slide0225.ht= m",1,-1,1),new hrefList("slide0246.htm",1,-1,1)); function FullScrInit() { g_allowAdvOnClick =/://3/3D GetCurSld().mAdvOnClk document.body.style.backgroundColor=/://3/3D"black" document.oncontextmenu=/://3/3Dparent._CM; document.onkeydown =/://3/3D _KDH; document.ondragstart=/://3/3DCancel document.onselectstart=/://3/3DCancel 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') doc.close() } function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=/://3/3Dtrue } function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited } function hrefList( sldhref, visible, advDelay, advClk ) { this.mSldhref=/://3/3D this.mNtshref =/://3/3D sldhref this.mOrigVis=/://3/3D this.mVis =/://3/3D visible this.mVisited=/://3/3D false this.mAdvDelay=/://3/3D advDelay this.mAdvOnClk=/://3/3D advClk } function SldList(arr,curSld,fEnd) { this.mCurSld =/://3/3D curSld; this.mList =/://3/3D new Array(); var idx =/://3/3D 1; for(ii=/://3/3D0;ii 0) { PushSldList(sldList,fEnd); gCurSld =/://3/3D 1; } else if( PPTSld.event ) PPTSld.event.cancelBubble=/://3/3Dtrue } function PushSldList(arr,fEnd) { var ii =/://3/3D gSldStack.length; gSldStack[ii] =/://3/3D new SldList(arr,gCurSld,fEnd); GoToSld( gSldStack[ii].mList[0].mSldhref ); } function PopSldList() { if (gSldStack[gSldStack.length-1].fEndShow) EndShow() else { gCurSld =/://3/3D gSldStack[gSldStack.length-1].mCurSld; gSldStack[gSldStack.length-1] =/://3/3D null; gSldStack.length--; var sldList =/://3/3D gSldStack[gSldStack.length-1]; GoToSld( sldList.mList[gCurSld - 1].mSldhref ); } } var custShowList=/://3/3Dnew Array(); function ImgBtn( oId,bId,w,action ) { var t=/://3/3Dthis t.Perform =/://3/3D _IBP t.SetActive =/://3/3D _IBSetA t.SetInactive=/://3/3D _IBSetI t.SetPressed =/://3/3D _IBSetP t.SetDisabled=/://3/3D _IBSetD t.Enabled =/://3/3D _IBSetE t.ChangeIcon =/://3/3D null t.UserAction =/://3/3D action t.ChgState =/://3/3D _IBUI t.mObjId =/://3/3D oId t.mBorderId=/://3/3D bId t.mWidth =/://3/3D w t.mIsOn =/://3/3D t.mCurState =/://3/3D 0 } function _IBSetA() { if( this.mIsOn ) { obj=/://3/3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=/://3/3D0 } } function _IBSetI() { if( this.mIsOn ) { obj=/://3/3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=/://3/3D0 } } function _IBSetP() { if( this.mIsOn ) { obj=/://3/3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=/://3/3D1; obj.style.posTop+=/://3/3D1 } } function _IBSetD() { obj=/://3/3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=/://3/3D0 } function _IBSetE( state ) { var t=/://3/3Dthis GetObj( t.mBorderId ).style.visibility=/://3/3D"visible" if( state !=/://3/3D t.mIsOn ) { t.mIsOn=/://3/3Dstate if( state ) t.SetInactive() else t.SetDisabled() } } function _IBP() { var t=/://3/3Dthis if( t.mIsOn ) { if( t.UserAction !=/://3/3D null ) t.UserAction() if( t.ChangeIcon ) { obj=/://3/3DGetObj(t.mObjId) if( t.ChangeIcon() ) obj.style.posLeft=/://3/3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth else obj.style.posLeft=/://3/3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth } t.SetActive() } } function _IBUI( clr1,clr2,nextState ) { var t=/://3/3Dthis SetBorder( GetObj( t.mBorderId ),clr1,clr2 ) obj=/://3/3DGetObj( t.mObjId ) obj.style.posLeft=/://3/3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj= .style.posTop t.mCurState=/://3/3DnextState return obj } function TxtBtn( oId,oeId,action,chkState ) { var t=/://3/3Dthis t.Perform =/://3/3D _TBP t.SetActive =/://3/3D _TBSetA t.SetInactive=/://3/3D _TBSetI t.SetPressed =/://3/3D _TBSetP t.SetDisabled=/://3/3D _TBSetD t.SetEnabled =/://3/3D _TBSetE t.GetState =/://3/3D chkState t.UserAction =/://3/3D action t.ChgState =/://3/3D _TBUI t.mObjId =/://3/3D oId t.m_elementsId=/://3/3D oeId t.mIsOn =/://3/3D 1 } function _TBSetA() { var t=/://3/3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gHiliteClr,gShadowClr,0,0 ) } function _TBSetI() { var t=/://3/3Dthis if( 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 =/://3/3D 0 } function _TBSetE() { var t=/://3/3Dthis if( !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) else t.ChgState( gShadowClr,gHiliteClr,1,1 ) t.mIsOn =/://3/3D 1 } function _TBP() { var t=/://3/3Dthis if( t.mIsOn ) { if( t.UserAction !=/://3/3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.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=/://3/3Dtop; obj.style.left=/://3/3Dle= ft } function SetBorder( obj, upperLeft, lowerRight ) { s=/://3/3Dobj.style; s.borderStyle =/://3/3D "solid" s.borderWidth =/://3/3D 1 s.borderLeftColor =/://3/3D s.borderTopColor =/://3/3D upperLeft s.borderBottomColor=/://3/3D s.borderRightColor =/://3/3D lowerRight } function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] } function BtnOnOver(){ b=/://3/3DGetBtnObj(); if( b !=/://3/3D null ) b.SetActive() } function BtnOnDown(){ b=/://3/3DGetBtnObj(); if( b !=/://3/3D null ) b.SetPressed() } function BtnOnOut(){ b=/://3/3DGetBtnObj(); if( b !=/://3/3D null ) b.SetInactive() } function BtnOnUp() { b=/://3/3DGetBtnObj() if( b !=/://3/3D null ) b.Perform() else Upd() } function GetNtsState(){ return parent.gNtsOpen } function GetOtlState(){ return parent.gOtlOpen } function GetOtlTxtState(){ return parent.gOtlTxtExp } function NtsBtnSetFlag( fVal ) { s=/://3/3Ddocument.all.item( this.m_flagId ).style s.display=/://3/3D"none" if( fVal ) s.display=/://3/3D"" else s.display=/://3/3D"none" } function _BSetA_Border(){ b =/://3/3D gBtnArr[this.mObjId]; if( b !=/://3/3D null ) b.S= etActive() } function _BSetI_Border(){ b =/://3/3D gBtnArr[this.mObjId]; if( b !=/://3/3D null ) b.S= etInactive() } var gHiliteClr=/://3/3D"THREEDHIGHLIGHT",gShadowClr=/://3/3D"THREEDSHADOW",gFaceClr=/://3/3D"= THREEDFACE" var gBtnArr =/://3/3D new Array() gBtnArr["nb_otl"] =/://3/3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan= e,GetOtlState ) gBtnArr["nb_otlElem"] =/://3/3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt= lPane,GetOtlState ) gBtnArr["nb_nts"] =/://3/3D new TxtBtn( "nb_nts","nb_ntsElem",parent.ToggleNtsPan= e,GetNtsState ) gBtnArr["nb_prev"]=/://3/3D new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToP= revSld ) gBtnArr["nb_next"]=/://3/3D new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToN= extSld ) gBtnArr["nb_sldshw"]=/://3/3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent= .FullScreen ) gBtnArr["nb_sldshwBorder"] =/://3/3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa= rent.FullScreen,null ) gBtnArr["nb_sldshwBorder"].SetActive =/://3/3D _BSetA_Border; gBtnArr["nb_sldshwBorder"].SetInactive =/://3/3D _BSetI_Border; gBtnArr["nb_sldshwText"] =/://3/3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent= .FullScreen,null ) gBtnArr["nb_sldshwText"].SetActive =/://3/3D _BSetA_Border; gBtnArr["nb_sldshwText"].SetInactive =/://3/3D _BSetI_Border; gBtnArr["nb_voice"] =/://3/3D new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.= ToggleVNarration ) gBtnArr["nb_otlTxt"]=/://3/3D new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent= .ToggleOtlText ) gBtnArr["nb_nts"].m_flagId=/://3/3D "notes_flag" gBtnArr["nb_nts"].SetFlag =/://3/3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=/://3/3D GetOtlTxtState var sNext=/://3/3D"Next",sPrev=/://3/3D"Previous",sEnd=/://3/3D"End Show",sFont=/://3/3D"Arial",sAr= row=/://3/3D"Arrow",sFreeform=/://3/3D"Freeform",sRect=/://3/3D"Rectangle",sOval=/://3/3D"Oval" function ShowMenu() { BuildMenu(); var doc=/://3/3DPPTSld.document.body,x=/://3/3DPPTSld.event.clientX+doc.scrollLeft,y= =/://3/3DPPTSld.event.clientY+doc.scrollTop m =/://3/3D PPTSld.document.all.item("ctxtmenu") m.style.pixelLeft=/://3/3Dx if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) ) m.style.pixelLeft=/://3/3Dx-m.scrollWidth m.style.pixelTop=/://3/3Dy if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) ) m.style.pixelTop=/://3/3Dy-m.scrollHeight m.style.display=/://3/3D"" } function _CM() { if( !parent.IsFullScrMode() ) return; if(!PPTSld.event.ctrlKey) { ShowMenu() return false } else HideMenu() } function BuildMenu() { if( PPTSld.document.all.item("ctxtmenu") ) return var mObj=/://3/3DCreateItem( PPTSld.document.body ) mObj.id=/://3/3D"ctxtmenu" mObj.style.visibility=/://3/3D"hidden" var s=/://3/3DmObj.style s.position=/://3/3D"absolute" s.cursor=/://3/3D"default" s.width=/://3/3D"120px" SetCMBorder(mObj,"menu","black") var iObj=/://3/3DCreateItem( mObj ) SetCMBorder( iObj, "threedhighlight","threedshadow" ) iObj.style.padding=/://3/3D2 CreateMenuItem( 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=/://3/3D"visible" } function Cancel() { window.event.cancelBubble=/://3/3Dtrue; window.event.returnVa= lue=/://3/3Dfalse } function Highlight() { ChangeClr("activecaption","threedhighlight") } function Deselect() { ChangeClr("threedface","menutext") } function Perform() { e=/://3/3DPPTSld.event.srcElement if( e.type=/://3/3D=/://3/3D"menuitem" && e.IsActive() ) e.Action() else PPTSld.event.cancelBubble=/://3/3Dtrue } function ChangeClr( bg,clr ) { e=/://3/3DPPTSld.event.srcElement if( e.type=/://3/3D=/://3/3D"menuitem" && e.IsActive() ) { e.style.backgroundColor=/://3/3Dbg e.style.color=/://3/3Dclr } } 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=/://3/3Dtrue; } else GoToPrevSld() } function M_True() { return true } function M_End() { window.close( self ) } function CreateMenuItem( node,text,action,eval ) { var e=/://3/3DCreateItem( node ) e.type=/://3/3D"menuitem" e.Action=/://3/3Daction e.IsActive=/://3/3Deval e.innerHTML=/://3/3Dtext if( !e.IsActive() ) e.style.color=/://3/3D"threedshadow" e.onclick=/://3/3DPerform e.onmouseover=/://3/3DHighlight e.onmouseout=/://3/3DDeselect s=/://3/3De.style; s.fontFamily=/://3/3DsFont s.fontSize=/://3/3D"9pt" s.paddingLeft=/://3/3D2 } function CreateSeparator( node ) { var sObj=/://3/3DCreateItem( node ) SetCMBorder(sObj,"menu","menu") var s=/://3/3DsObj.style s.borderTopColor=/://3/3D"threedshadow" s.borderBottomColor=/://3/3D"threedhighlight" s.height=/://3/3D1 s.fontSize=/://3/3D"0px" } function CreateItem( node ) { var elem=/://3/3DPPTSld.document.createElement("DIV") node.insertBefore( elem ) return elem } function SetCMBorder( o,ltClr,rbClr ) { var s=/://3/3Do.style s.backgroundColor=/://3/3D"menu" s.borderStyle=/://3/3D"solid" s.borderWidth=/://3/3D1 s.borderColor=/://3/3DltClr+" "+rbClr+" "+rbClr+" "+ltClr } ------=_NextPart_01C5C613.9FB6C200 Content-Location: file:///C:/AA44A271/INF1020-grafer1_files/fullscreen.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; 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charset="us-ascii" No Slide Title_澳门葡京手机版app下载 ------=_NextPart_01C5C613.9FB6C200 Content-Location: file:///C:/AA44A271/INF1020-grafer1_files/outline.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"
Slide Show
Outline
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------=_NextPart_01C5C613.9FB6C200 Content-Location: file:///C:/AA44A271/INF1020-grafer1_files/filelist.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C5C613.9FB6C200--