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Depart= ment of Informatics, University of Oslo
INF= 1020 – Algorith= ms & Data Structures
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 1
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
=
=
Uke 5
Disjunkte mengder
MAW, kap. 8
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 2
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
Hittil…
=
=
•Forutsetninger for og essensen i faget
•Metodekall, rekursjon, permutasjoner=
•Analyse av algoritmer
•Introduksjon til ADT’er
•Den første ADT: trær
•=
•Binære trær, binære søketrær
•=
•Hashing, hash-tabeller
•=
•B-TrærB+ trær. ADTer og stakker. Rød-svarte trær
•
Uke 1
Uke 2
Uke 3
Uke 4
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 3
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
=
=
•
•
•Oppsummering av dagens forelesning:
•
§<= /span>Disjunkte sett
§<= /span>Relasjoner
§<= /span>Ekvivalensrelasjoner
§<= /span>Disjunkte sett ADT og operasjoner
§<= /span>Problemer og løsninger
§<= /span>Fun-time analyse
§
•<= span lang=/://3/3DNO-BOK style=/://3/3D'font-family:Garamond;layout-flow:horizontal;color:b= lack; mso-special-format:lastCR;display:none'>
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 4
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
Disjunkte mengder er mengder som ikke har felles elementer
Russells paradoks =
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R0lGODlhDAAMAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAJ AAkAgQAAADNmmf9mAAECAwIUhBGnIanYHhPxzAopdXdnvQXiOBYAOx== ------=_NextPart_01C5BD27.FAE51AE0 Content-Location: file:///C:/22A3A2AC/INF1020-disjunktemengderl_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, = Week 5 September 19,= 2005
Page 5
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
= Relasjonener
En relasjon R er definert på en mengde S ved at aRb enten er sann eller usann for hvert p= ar (a,b) av elementer i S.
Hvis aRb holder (er sann) så si= er vi at a er relatert til b,
eller at a står i forhold til = b via R.
Eksempel:
≤ relasjonen på mengden av heltall.
3≤5 er sann, så= 3 er relatert til 5 (med hensyn på mindre-eller-lik-relasjonen). Derimot er 6≤5 usann, så 6 er ikke relatert til 5.
Parentes: Standard matematisk definisjon av relasjoner er slik: en = relasjon R er en delmengde av SXS. Vi sier at aRb <= span style=/://3/3D'font-family:Garamond;mso-ascii-font-family:Garamond;mso-hansi-fon= t-family: Garamond;font-size:83%'>holder
hviss (a,b) εR.
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 6
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•Ekvivalensr= elasjoner
•<= b>
•En ekvivalensrelasjon på en mengde S er en relasjon = med
•følgende egenskaper:
•1. a ~ a for alle elementer a i S (refleksivitet)
1.
•2. Hvis a ~ b, så er b ~ a (symmetri)
•
•3. Dersom a ~ b og b ~ c, så = har vi også a ~ c (transitivitet)
•
•Eksempel:
•En velkjent ekvivalensrelasjon er =/://3/3D relas= jonen på tall.
•
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 7
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•Flere eksempler:
•bilveirelasjonen:
•La S være mengden av tettsteder i = Norge, og la a og b være to tilfeldige
•tettsteder. Da er a  b hvis og bare hvis det finnes en måte å komme fra a til b
•ved å kjøre bil uten å bruke ferge.
•Under forutsetning av at ingen veier er enveiskjørte,
•er dette en ekvivalensrelasjon. =
•
•går i samme klasse som = definert over elevene ved en skole
•er en ekvivalensrelasjon.
• = ;
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 8
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•Ekvivalensklasser
•
•En ekvivalensrelasjon ~ på en mengde S deler elementene i S inn i
•ekvivalensklasser slik at alle elementene i en ekvivalensklasse Ei
•er relaterte til hverandre, men ikke med no= en elementer i andre
•ekvivalensklasser i S.
•
•Vi sier at ekvivalensklassene utgjør disjunkte delmengder av S.
• = ;
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file:///C:/22A3A2AC/INF1020-disjunktemengderl_files/slide0226.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, = Week 5 September 19,= 2005
Page 9
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•Eksempel:
•
•Ekvivalensklasser som kan tenkes indusert av bilveirelasjonen definert
•over mengden av tettsteder i Norge:
•
•
•E1 =/://3/3D {Longyearbyen}
•E2 =/://3/3D {Svolvær, Kabelvåg, Stamsund, Leknes, Reine, Sørvågen}
•E3 =/://3/3D {alle tettstedene på fastlandet}
------=_NextPart_01C5BD27.FAE51AE0 Content-Location: file:///C:/22A3A2AC/INF1020-disjunktemengderl_files/slide0227.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, = Week 5 September 19,= 2005
Page 10
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•Det dynamiske ekvivalensproblemet
•
•= Ekvivalensproblemet består i å avgjøre om to elementer a og b i S
•står i relasjon til hverandre, dvs. om a ~ b for en gitt ekvivalensrelasjon .
•
•Hvis alle relasjonene mellom elementene er gitt eksplisitt ved en <= /div>
•2-dimensjonal boolsk matrise, behøver vi bare et enkelt oppslag i
•matrisen for å avgjøre om = a ~ b.
•
Problemet er at vi ikke alltid får eksplisitt oppgitt alle verdiene i
matrisen, dvs. hvilke elementer som er relatert til hverandre.
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 11
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•Grunnen til det er at antall relasjonsforho= ld vokser kvadratisk (n2) i =
•forhold til antall elementer i mengden. = ;
•I stedet er det vanlig å få opp= gitt noen relasjonsforhold, f.eks. at a ~ b,
•c ~ d, e ~ a og d ~ b.
•Så må vi raskt kunne svare p&ar= ing; om det fra de tre ekvivalensegenskapene
•følger at a ~ d.
•
•
•Viktig observasjon:
•For å bestemme om a ~ d, er det nok å sjekke om de er i samme ekvivalensklasse!
• = ;
------=_NextPart_01C5BD27.FAE51AE0 Content-Location: file:///C:/22A3A2AC/INF1020-disjunktemengderl_files/slide0248.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, = Week 5 September 19,= 2005
Page 12
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•<= span lang=/://3/3DNO-BOK style=/://3/3D'mso-special-format:lastCR;display:none'>
Fjern vegger av cellene tilfeldig,
slik at de finns en vei me= llom cell 0 og cell 55
Eksempel: labyrint!
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 13
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•Disjunkte mengder ADT
•
•Weiss kap. 8.1–8.5
•
•Løser ekvivalensproblemet
•Lett og rask implementasjon
•Vanskelig tidsforbrukanalyse
• = ;
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 14
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•Operasjonen= e til disjunkte mengder
•<= b>
•= Disjunkt mengde ADT tilbyr to operasjoner:
•
•Find(a) returnerer en representant for ekvivalensklassen til element a.
•Representanten er altid den samme, uavhengig av hvilken a i
•ekv= ivalensklassen man angir.
•
•Union(a, b) legger inn opplysningen om at a ~ = b.
•Operasjonen heter Union fordi effekten av å legge inn at a ~ b er at
•ekv= ivalensklassene til a og b blir slått sammen (f= ordi de nå må tilhøre
•sam= me ekvivalensklasse).
•
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 15
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•
•
•Vi kan løse ekvivalensproblemet p&ar= ing; en mengde S ved følgende algoritme:
•
•
• Ved starten av algoritmen er hvert element i sin egen ekvivalensklasse.
•
• Når vi får vite at a ~ b<= /i>, bruker vi operasjonen Union(a, b).
•
• Når vi skal avgjøre om c= ~ d, sjekker vi om Find(c) =/://3/3D=/://3/3D Find(d). <= /span>
• = ;
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 16
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•Legg merke til at algoritmen er dynamisk p&= aring; den måten at
•ekvivalensklassene vil forandre seg etter h= vert som vi utfører
•union-operasjonene.
•
•Observasjon 1:
•
§Vi sammenligner ikke navnene (verdiene) til elementene direkte. Alt
§vi er interessert i er hvilken (ekvivalens) klasse de er i.
§
<= span style=/://3/3D'font-family:Garamond'>§De= rmed kan vi for enkelhets skyld anta at at vi jobber med elementer <= /span>
§fra 1 til N og at Ei<= i> =/://3/3D {i} når algoritmen starter.
• = ;
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 17
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•Observasjon 2:
•
•Vi = bryr oss egentlig ikke så mye om navnet på klassen som Find returnerer.
•Det som er viktig er at Find(a)=/://3/3D=/://3/3DFind(b)<= b> hvis og bare hvis a ~ b
•(dvs. at a og b er i samme klasse).
•
•Observasjon 3:
•
•Man= kan velge to strategier når man implementerer disjunkt sett ADT:
•
§<= /span>Find kan være rask, O (1), men da blir Union relativt treg, O (log n)
§<= /span>Union kan være rask, O (1), men da blir Find relativt treg, O (log n).
•
•Det er bevist at man ikke kan få både Find og Union O (1) samtidig. <= /div>
•
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 18
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•Implementasjon som gir rask finn
•
•Hvis vi ønsker O (1) tid for Find<= /b>, kan vi bruke et array der vi for hvert= 3;
•element lagrer navnet på ekvivalensklassen:
•
•
•
•
•Da blir Find = bare et enkelt oppslag i tabellen.
•Men Union= er kostbar fordi vi må gå gjenn= om hele arrayet og bytte
•klassenavnet til alle elementer i klassene = som skal slås sammen. Det
•tar O (n) tid. <= /span>
• = ;
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 19
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•
<= span style=/://3/3D'font-family:Garamond'>§Ved å ta vare på størrel= sen til hver ekvivalensklasse og alltid la klassen
§med færrest elementer bytte navn til klassen med flest elementer, kan
§man garantere at = N - 1 unioner (som er det meste man kan ha f&os= lash;r alle N
§elementene er i samme klasse) ikke tar mer enn O (N log N) tid.
§
§ <= /span>Det kommer av at et element a bare kan skifte klassetilhørighet log N
•ganger fordi antall elementer i klassen til= a vil bli minst fordoblet
•ved hver eneste union.
• = ;
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 20
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•= Implementasjon som gir hurtig union
•
§<= /span>Vi implementerer operasjonene til disjunkte= sett ved hjelp av en skog,
•dvs. en mengde trær. = ;
•
§<= /span>Ideen er å plassere alle elementer i = en
§ekvivalensklasse i = samme tre, og la roten i treet identifisere
•ekv= ivalensklassen.
•
§<= /span>Trærne er ikke binære, men alli= kevel veldig enkle fordi vi bare behøver å
•lag= re forelderpekeren for å finne roten, altså ingen barnepekere.
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Slide Title_澳门葡京手机版app下载
= Almira Karabeg, = Week 5 September 19,= 2005
Page 21
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•
•
•Legg merke til at trærne kan represen= teres ved et enkelt array S <= /i>
•fra 1 til N:
•- S[i] =/://3/3D=/://3/3D y betyr at node nr. <= span style=/://3/3D'font-family:Garamond'>i har y som forelder.
•- S[i] =/://3/3D=/://3/3D -1 betyr at noden er en rotnode.
------=_NextPart_01C5BD27.FAE51AE0 Content-Location: file:///C:/22A3A2AC/INF1020-disjunktemengderl_files/slide0238.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, = Week 5 September 19,= 2005
Page 22
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•Union gjøres ved å sette den ene rotpekeren til å peke på den andre&#= 13;
•roten. Det tar konstant tid hvis vi allerede kjenner røttene til klassene
•som skal slås sammen.
•
•Find(a) tilsvarer å traversere forelderpekeren opp til roten.
•Tidsforbruket er proporsjonalt med dybden t= il node a, og den er i verste
•fall O (N) (hvis alle nodene er i= samme ekvivalensklasse).
•
•Gjennomsnittsanalysen til operasjonene er v= eldig vanskelig.
•
------=_NextPart_01C5BD27.FAE51AE0 Content-Location: file:///C:/22A3A2AC/INF1020-disjunktemengderl_files/slide0245.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, = Week 5 September 19,= 2005
Page 23
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
Eksampel: n=/://3/3D9=
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 24
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 25
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•Union-by-size
•
•Vi kan redusere tidsforbruket til finn-operasjonen ved å bruke en
•smartere union-strategi:
•Vi lar alltid det minste treet (færre= st elementer) bli et subtre i det største
•(flest elementer).
•
•Med denne strategien, kalt union-by-size, blir dybden til et tre
•maks log N.
•Det kommer av at når dybden til en gi= tt node a øker (med 1), så skjer det = ;
•ved at treet det er med i blir slått = sammen med et tre som er større
•enn seg selv.
• = ;
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 26
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•
•Dermed fordobles (minst) antall noder i tre= et hver gang dybden til a =
•øker med 1.
•Det kan bare skje log N ganger.
•
•Finn-operasjonen blir altså O (log n).
•
•Vi må lagre størrelsen til hve= rt tre. Det kan typisk gjøres ved å lagre den
•negative størrelsen i tabellcellen til roten.
•
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 27
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 28
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•Union-by-height
•
•En annen union-strategi er å lagre høyden til hvert tre (den lengste
•veien fra roten til en bladnode), og alltid= la treet med minst høyde bli
•subtre av treet med størst høyde.
•
•Høyden til det nye treet vil bare øke (med 1) når trærne som slås
•sammen har samme høyde! <= /div>
•
•Også denne strategien gir O (log n) tidsforbruk worst case.&#= 13;
•
------=_NextPart_01C5BD27.FAE51AE0 Content-Location: file:///C:/22A3A2AC/INF1020-disjunktemengderl_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, = Week 5 September 19,= 2005
Page 29
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•Stikomprime= ring
•<= b>
•Det= er sannsynligvis ikke mulig å gjøre union på en smartere måte, så
•vi kan i stedet prøve en lurere finn-strategi:
•
•N&a= ring;r vi skal svare på Find(a), kan vi minske dybden til nodene i den = ;
•gre= nen som a ligger i ved å forandre på forelderpekerne slik at de peker
•direkte på roten.
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 30
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
TEMA: Disjunkte mengder
•
•
•Anta at a har b som forelder. Da kan denne strategien enkelt
•implementeres rekursivt ved å sette <= /span>S[a] =/://3/3D Find(b), dvs. returverdien av
•det rekursive kallet til forelderen.
•
•Denne strategien kalles stikomprimering.
•
•Man kan vise at dersom man kombinerer stikomprimering med
•union-by-size eller union-by-height, s&arin= g; vil tidsforbruket til M
•union/finn-operasjoner bli nesten
•O (M).
• = ;
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= Almira Karabeg, = Week 5 September 19,= 2005
Page 31
Department of Informatics, University of Oslo
INF1020 – Algorit= hms & Data Structures
=
=
•Neste gang:
•
•Prioritetskøer <= /div>
•MAW, kap. 6
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<= /div>
<= /div>
<= /div>
‹h= eader›
<= /div>
<= /div>
<= /div>
‹date/time›
Click to edit Master text styles
Second level
Third level
Fourth level
Fifth level
<= /div>
<= /div>
<= /div>
‹f= ooter›
<= /div>
<= /div>
<= /div>
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_KDH() { if( event.keyCode =/://3/3D=/://3/3D 8 ) { event.returnValue =/://3/3D 0; parent.GoToPrevSld(); } }function DocumentOnClick() { if( IsNts() || parent.HideMenu() ) return; if( ( g_allowAdvOnClick && (window.name=/://3/3D=/://3/3D"PPTSld") && !parent.IsFrames= Mode() ) || (event && event.keyCode=/://3/3D=/://3/3D32) ) { =09 if( g_animUseRuntime && g_animMainSequence && g_animMainSequence.cangonex= t ) return; parent.GoToNextSld(); } } var g_supportsPPTHTML =/://3/3D SupportsPPTHTML(), g_scaleInFrame =/://3/3D 1, gId=/://3/3D""= , g_bgSound=/://3/3D"", g_scaleHyperlinks =/://3/3D false, g_allowAdvOnClick =/://3/3D 1, g_showInBrowser = =/://3/3D 0, gLoopCont =/://3/3D 0, gUseSldTimings =/://3/3D 1; var g_showAnimation =/://3/3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w= indow.name=/://3/3D=/://3/3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va= r g_animManager =/://3/3D null; var g_animUseRuntime =/://3/3D false; var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime; var g_animMainSequence =/://3/3D null; var ENDSHOW_MESG=/://3/3D"End of slide show, click to exit.", SCREEN_MODE=/://3/3D"Fram= es", gIsEndShow=/://3/3D0, NUM_VIS_SLDS=/://3/3D31, SCRIPT_href=/://3/3D"script.js", FULLSCR_= href=/://3/3D"fullscreen.htm"; var gCurSld =/://3/3D gPrevSld =/://3/3D 1, g_offset =/://3/3D 0, gNtsOpen =/://3/3D gHasNts =/://3/3D gO= tlTxtExp =/://3/3D 0, gHasNarration =/://3/3D 0, gOtlOpen =/://3/3D true window.gPPTHTML=/://3/3DSupportsPPTHTML() var gMainDoc=/://3/3Dnew Array(new hrefList("slide0080.htm",1,-1,1),new hrefList(= "slide0132.htm",1,-1,1),new hrefList("slide0221.htm",1,-1,1),new hrefList("= slide0157.htm",1,-1,1),new hrefList("slide0222.htm",1,-1,1),new hrefList("s= lide0223.htm",1,-1,1),new hrefList("slide0224.htm",1,-1,1),new hrefList("sl= ide0225.htm",1,-1,1),new hrefList("slide0226.htm",1,-1,1),new hrefList("sli= de0227.htm",1,-1,1),new hrefList("slide0228.htm",1,-1,1),new hrefList("slid= e0248.htm",1,-1,1),new hrefList("slide0229.htm",1,-1,1),new hrefList("slide= 0230.htm",1,-1,1),new hrefList("slide0231.htm",1,-1,1),new hrefList("slide0= 232.htm",1,-1,1),new hrefList("slide0233.htm",1,-1,1),new hrefList("slide02= 34.htm",1,-1,1),new hrefList("slide0235.htm",1,-1,1),new hrefList("slide023= 6.htm",1,-1,1),new hrefList("slide0237.htm",1,-1,1),new hrefList("slide0238= .htm",1,-1,1),new hrefList("slide0245.htm",1,-1,1),new hrefList("slide0246.= htm",1,-1,1),new hrefList("slide0239.htm",1,-1,1),new hrefList("slide0241.h= tm",1,-1,1),new hrefList("slide0247.htm",1,-1,1),new hrefList("slide0242.ht= m",1,-1,1),new hrefList("slide0243.htm",1,-1,1),new hrefList("slide0244.htm= ",1,-1,1),new hrefList("slide0198.htm",1,-1,1)); /********************************************* Frameset functions These functions control slide navigation and state of the frameset. **********************************************/ 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 self.focus() } function Redirect( frmId ) {=09 var str=/://3/3Ddocument.location.hash,idx=/://3/3Dstr.indexOf('#'), sId=/://3/3DGetSldId() if(idx>=/://3/3D0) str=/://3/3Dstr.substr(1); if( window.name !=/://3/3D frmId && ( sId !=/://3/3D str) ) { obj =/://3/3D GetObj("Main-File") window.location.href=/://3/3Dobj.href+"#"+sId return 1 } return 0 } var MHTMLPrefix =/://3/3D CalculateMHTMLPrefix();=20 function CalculateMHTMLPrefix() { if ( document.location.protocol =/://3/3D=/://3/3D 'mhtml:') {=20 href=/://3/3Dnew String(document.location.href)=20 Start=/://3/3Dhref.indexOf('!')+1=20 End=/://3/3Dhref.lastIndexOf('/')+1=20 if (End < Start)=20 return href.substring(0, Start)=20 else=20 return href.substring(0, End)=20 } 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 !=/://3/3D fVal ) { gHasNts=/://3/3DfVal UpdNavPane() } } function ToggleOtlText() { gOtlTxtExp=/://3/3D!gOtlTxtExp UpdOtlPane() } function ClearMedia() { // Clear any sounds playing before launching another browser window. Other= wise, // in fullscreen mode, you'll continue to hear the sound in the frames mod= e. if (PPTSld.pptSound) PPTSld.pptSound.loop =/://3/3D 0; } function FullScreen() {=20 if ( PPTSld.g_animUseRuntime ) PPTSld.document.body.pause(); ClearMedia(); var href =/://3/3D ( document.location.protocol =/://3/3D=/://3/3D 'mhtml:') ? FULLSCR_href = : FULLSCR_href+"#"+GethrefObj(gCurSld).mSldhref; if(PPTNav.event.ctrlKey) { var w =/://3/3D (window.screen.availWidth * 1.0) / 2.0 var h =/://3/3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW win =/://3/3D window.open( MHTMLPrefix+href,null,"toolbar=/://3/3D0,resizable=/://3/3D1,top= =/://3/3D0,left=/://3/3D0," + "width=/://3/3D"+ w + ",height=/://3/3D" + h ); if( win.document.body && PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=/://3/3Dwindow; } else { win =/://3/3D window.open( MHTMLPrefix+href,null,"fullscreen=/://3/3Dyes" ); if( win.document.body && PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=/://3/3Dwindow; } } function ToggleVNarration() { rObj=/://3/3DPPTSld.document.all("NSPlay") if( rObj && !PPTSld.g_animUseRuntime ) { if( (rObj.playState =/://3/3D=/://3/3D 1)||(rObj.playState =/://3/3D=/://3/3D 0) ) rObj.Play() else if( rObj.playState =/://3/3D=/://3/3D 2 ) rObj.Pause() else return; } else if( PPTSld.g_animUseRuntime ) { narObj =/://3/3D PPTSld.document.all("narrationID") if( narObj ) narObj.togglePause() } } function GetCurSldNum() { =20 obj=/://3/3DGethrefObj(gCurSld) if( obj.mOrigVis =/://3/3D=/://3/3D 1 ) return obj.mSldIdx else =20 return gCurSld } function GetNumSlds() { =20 if( GethrefObj(gCurSld).mOrigVis =/://3/3D=/://3/3D 1 ) return GetSldList().mNumVisSlds; else return GetSldList().mList.length } function GetSldNum( href ) { for(ii=/://3/3D0; ii 1 ) PopSldList(); else if( !IsFramesMode() ) { if( gLoopCont ) GoToFirst() else EndShow() } } function GoToPrevSld() { ii=/://3/3DgCurSld-1 if( ii > 0 ) { obj=/://3/3DGethrefObj(ii) while ( obj && ( obj.mVis =/://3/3D=/://3/3D 0 ) && ( ii>0 ) ) obj=/://3/3DGethrefObj(--ii) if( ii =/://3/3D=/://3/3D 0 ) ii=/://3/3D1 GoToSldNum(ii) } } function GoToFirst(){ GoToSld( GethrefObj(1).mSldhref ) } function GoToLast() { ii=/://3/3DGetSldList().mList.length if( ii !=/://3/3D gCurSld ) GoToSld( GethrefObj(ii).mSldhref ) } function GoToSldNum( num ) { if( PPTSld.event ) PPTSld.event.cancelBubble=/://3/3Dtrue obj =/://3/3D GethrefObj( num ) obj.mVis=/://3/3D1 gPrevSld=/://3/3DgCurSld gCurSld =/://3/3D num; PPTSld.location.replace(MHTMLPrefix+obj.mSldhref) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function GoToSld( href ) { if( PPTSld.event ) PPTSld.event.cancelBubble=/://3/3Dtrue GethrefObj( GetSldNum(href) ).mVis=/://3/3D1 PPTSld.location.replace(MHTMLPrefix+href) } function SldUpdated( id ) { if( id =/://3/3D=/://3/3D GethrefObj(gCurSld).mSldhref ) return gPrevSld=/://3/3DgCurSld gCurSld=/://3/3DGetSldNum(id) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function PrevSldViewed(){ GoToSld( GethrefObj(gPrevSld).mSldhref ) } function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=/://3/3D 1 && GethrefO= bj( gCurSld-1 ).mVis =/://3/3D=/://3/3D 1 )||( GetCurSldNum() > 1 ) ) } function HasNextSld() { return (GetCurSldNum() !=/://3/3D GetNumSlds()) } function CloseWindow() { if( HideMenu() ) return; =09 var event =/://3/3D PPTSld.event; if( !IsFramesMode() && event && (event.keyCode=/://3/3D=/://3/3D27 || event.keyCode=/://3/3D= =/://3/3D32 || event.type=/://3/3D=/://3/3D"click" ) ) window.close( self ); CatchNumKeys( self, event ); } function Unload() { gIsEndShow=/://3/3D0; } function SetupEndShow() { gIsEndShow=/://3/3D1; PPTSld.document.body.scroll=/://3/3D"no"; PPTSld.document.onkeypress=/://3/3DCloseWindow; PPTSld.document.onclick=/://3/3DCloseWindow; PPTSld.document.oncontextmenu=/://3/3D_CM; } function EndShow() { if( IsFramesMode() ) return if( PPTSld.event ) PPTSld.event.cancelBubble=/://3/3Dtrue doc=/://3/3DPPTSld.document var dir =/://3/3D doc.body.dir if( dir !=/://3/3D "rtl" ) dir =/://3/3D "ltr"; doc.open() doc.writeln('


' + ENDSHOW_MESG + '

') 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(); /********************************************* Navigation button implementation There are 2 types of buttons: ImgBtn, TxtBtn implemented as function objects. They share a similiar interface so the event handlers can call SetActive, for example, on a button=20 object without needing to know exactly=20 what type of button it is. **********************************************/ //---------------------------------- 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=20 } } function _IBSetP() { if( this.mIsOn ) { obj=/://3/3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=/://3/3D1; obj.style.posTop+=/://3/3D1 } } function _IBSetD() { =20 obj=/://3/3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=/://3/3D0=20 } 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() } =20 } 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() { =20 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 ) {=20 if( t.UserAction !=/://3/3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.SetActive() } =20 } 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=20 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() } function _BSetP_Border(){ b =/://3/3D gBtnArr[this.mObjId]; if( b !=/://3/3D null ) b.S= etPressed() } function _BSetA_BorderImg() {=20 b =/://3/3D gBtnArr[this.mBorderId]=20 if( b !=/://3/3D null && this.mIsOn && !b.GetState() ) { obj=/://3/3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=/://3/3D0 } } function _BSetI_BorderImg() {=20 b =/://3/3D gBtnArr[this.mBorderId] if( b !=/://3/3D null && this.mIsOn && !b.GetState() ) { obj=/://3/3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=/://3/3D0 } } 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 ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN= tsPane ) gBtnArr["nb_nts"].SetActive =/://3/3D _BSetA_BorderImg; gBtnArr["nb_nts"].SetInactive =/://3/3D _BSetI_BorderImg; gBtnArr["nb_ntsBorder"] =/://3/3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.= ToggleNtsPane,GetNtsState ) gBtnArr["nb_ntsElem"] =/://3/3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To= ggleNtsPane,GetNtsState ) gBtnArr["nb_prevBorder"] =/://3/3D gBtnArr["nb_prev"]=/://3/3D new ImgBtn( "nb_prev","n= b_prevBorder",30,parent.GoToPrevSld ) gBtnArr["nb_nextBorder"] =/://3/3D gBtnArr["nb_next"]=/://3/3D new ImgBtn( "nb_next","n= b_nextBorder",30,parent.GoToNextSld ) 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 gBtnArr["nb_voiceBorder"] =/://3/3D new ImgBtn( "nb_voice= ","nb_voiceBorder",18,parent.ToggleVNarration ) gBtnArr["nb_otlTxtBorder"] =/://3/3D gBtnArr["nb_otlTxt"]=/://3/3D new ImgBtn( "nb_otlT= xt","nb_otlTxtBorder",23,parent.ToggleOtlText ) gBtnArr["nb_ntsBorder"].m_flagId=/://3/3D "nb_nts" gBtnArr["nb_ntsBorder"].SetFlag =/://3/3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=/://3/3D GetOtlTxtState /********************************************* Context menu implementation _CM() is the function that's hooked up to the oncontextmenu event. Once we're asked to show the menu, we first build it by creating DIVs on-the-fly. Then we position it=20 within the screen area so it doesn't get clipped. Creating the DIVs using createElement() means we don't have to write out any extra HTML into the slide HTML files. **********************************************/ 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 ) =09 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 ) { gIsEndShow=/://3/3D0; history.back();= PPTSld.event.cancelBubble=/://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_01C5BD27.FAE51AE0 Content-Location: file:///C:/22A3A2AC/INF1020-disjunktemengderl_files/fullscreen.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" ------=_NextPart_01C5BD27.FAE51AE0 Content-Location: file:///C:/22A3A2AC/INF1020-disjunktemengderl_files/buttons.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhWAESAPf4AAAAAIAAAACAAICAAAAAgIAAgACAgICAgAQEBISEBASEBISEhAQEhMTExAQE /KTM9Pz8/ERERPz8BAT8/KSkpGRkhMTcxCRkxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAMDAwP8AAAD/AP//AAAA//8A/wD//////yH5BAEAAPgALAAAAABYARIA QAj/APEJHEiwoMGDCBMqXMiwocOHECNKnEixosWLGCEiQKCRo8YDIEHig2DxAD4LKD1avDDhgUuV GUOGbHBR5QGYFBG4fHAB58EKECJEwCfUYAWPFGAygLCRKQIIUKM6WAohKUGgCikcFWh1INWoYKVS 7SrQ41GbIhGYLAuVQVOoC+IyXUuUAkG1HE3KFDhAwkgJc5/qDZmxsOHDiBMrXsy4sePDGyP7lChT 5MULmDPnlDw5YmW6FTNrfgi0aNGEZPEtbfo2bNTUpYeeRph69dPWrqvCNFuBIGG1A59CYPAVQtwF cw0OxWdTIOiBCQAjaAB17fOFII8voGmRc+eOkilm/z9OvTtnjN4hYk1YoT3H2rnBOphPAB9skgq3 2lcaX/5YnJVt9BloAar12UEIRGCZdQghMABI1Tn32IQUVthYexhmqGGGMBHAgIfEhSiiiATAtOGJ GnYI4ogsEldicAYOGNJGZaml3Y0L3NTZUBz1xlB0PUoUI0jlVWRSVN89xBKSGB1YU1TMoRfVBEle hR9HQs1GEHxQ3RZZbveZthxt/LEmXHyp5XWABSCpaRJwbM13gAACPHVccgJFgF+NEhqUAEkQSCfc ddhVhh5dVTaEAEsTUNlkZUWKN9BNGDE6QU8OrSdbllzpxyVTTrU21Uj3scfhp7nNpyoDaTIEJ3P9 If8J2kbLNYegg9JRBwGhFvbq66+ZUiDssMQWK2yHxiZLrInKNotss8l+B5yBrr5p2UIJvortANoC 6+234IbLla/elRtZjeamh5CC3Sb0YLvixivvYkDFGlZqBNh7r4n6goVvv6/ZlCicN+kL71ALTnpQ dCIZp7CihkLA3UQmoWRBogyxtBPGCTnZncVR1rSTo5nuydC/Eo8kUH+lOoTyyvjoCuZu+PjYIKLD rZybtrM1d10C0QXKEVz48GrQkEeWdFJKlbb0UmEeV0SzyC6RvNB646LWIVjUNeC1zAFb+RDKXksM 9r531bwmpQW9+hQDDsx5pqwDRWBXcFES2hc+gEn/wJGdEEWdE6LoWcoxQweaTNmkhydkKaYMYY2Q p1unbLl/pPKbn3v7EZRvrKvqlja2ONvrtoIw9tn2g32/tQBlhtYkU+MNikZ7QYlPDPuMldpOmuJX nVo5VF3HjI+q89mteX5IDd/fVFClma5kiE4f2XUJhlz09gj2NbTDRifkmu7zXjR++RVJ/lPznuvr QH2iD6S+UewP9Dnon6d2NLwN8n90BB6hC68cFMCHoe+ACASP9c4DowUyEF0OPFcDI0ij/VXPaAKC UfhS95AKGoQ7IBRICI1HwhGaUIQoLGEKT6jCFrLwhSuMoQtlCMMZ2rCGOKShDm+4wxzy8Ic+DGIP B4cIRCKGMCAAOy== ------=_NextPart_01C5BD27.FAE51AE0 Content-Location: file:///C:/22A3A2AC/INF1020-disjunktemengderl_files/frame.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 ------=_NextPart_01C5BD27.FAE51AE0 Content-Location: file:///C:/22A3A2AC/INF1020-disjunktemengderl_files/outline.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"
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