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Almira Karabeg, Week 6,
September 26th, 2005
Page ‹#›
Depart= ment of Informatics, University of Oslo, Norway
INF= 1020 – Algorith= ms & Data Structures
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<= /div>
<= /div>
<= /div>
‹h= eader›
<= /div>
<= /div>
<= /div>
‹date/time›
<= /div>
<= /div>
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‹f= ooter›
<= /div>
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Almira Karabeg, Week 6,
September 26th, 2005
Page 1
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
=
=
Uke 6
Prioritetskøer
MAW, kap. 6
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Almira Karabeg, Week 6,
September 26th, 2005
Page 2
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
=
=
Oppsummering av dagens forelesning:
§Motiva= sjon (prioriteskøer)
§ Operas= joner
§ Implem= entasjoner og tidsforbruk
§ Heap-i= mplementasjonen
        = ;         Strukturkravet
        = ;         Heap-ordningskravet
        = ;         Insert
        = ;         DeleteMin
        = ;         Tilleggsoperasjoner
        = ;         Build Heap
§Anvend= elser
        = ;         Finn medianen og sortering
        = ;         Hendelsessimulering (Event simulation)
§Binomi= altrær-implementasjon
§
<= span style=/://3/3D'font-family:Garamond;font-size:90%;layout-flow:horizontal;visibil= ity: hidden'>
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Almira Karabeg, Week 6,
September 26th, 2005
Page 3
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Motivasjon
I en vanlig kø (kapittel 3 i MAW) se= tter vi inn elementer i en ende av
køen og tar ut elementer i den andre= enden (First In First Out – FIFO).
Ofte har vi bruk for å prioritere jobbene som vi legger i køen: noe
må gjøres med en gang, mens an= dre ting kan vente litt.
= ;
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Almira Karabeg, Week 6,
September 26th, 2005
Page 4
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Eksempel:
Jobbfordeleren (scheduler) i operativsystemer
En Unix-server har som oftest mange brukere tilkoblet samtidig, og
hver bruker har mange jobber som kjø= rer på en gang (Netscape, Emacs,
Java-kompilering, klokke, osv.).
På en vanlig datamaskin i dag er det = bare en prosessor (CPU), så bare en
jobb kan fysisk kjøre (utføre= s) på et gitt tidspunkt.
Det er helt uakseptabelt å la hver jo= bb kjøre ferdig før neste jobb får
slippe til.
= ;
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Almira Karabeg, Week 6,
September 26th, 2005
Page 5
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Løsning
§<= /span>En mulig løsning er å plassere jobbene i en kø.
§
= § &nbs= p;  Når en jobb tas ut av køen, får den lov å kjøre en liten stund (noen
§    millisekunder) f&osla= sh;r den legges bakerst i køen igjen.
§ <= /span>
= § &nbs= p;  På den måten ser det ut som om alle jobbene kjør= er samtidig.
§
§<= /span>Problemet er at korte jobber tar uforholdsm= essig lang tid pga. all ventingen.
§
§<= /span>En god løsning er å senke prioriteten på jobber som allerede har kjørt
len= ge, slik at nye, korte jobber blir utført raskt.
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Almira Karabeg, Week 6,
September 26th, 2005
Page 6
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Operasjoner
En prioritetskø må minst støt= te følgende to operasjoner:
<= span style=/://3/3D'font-family:Garamond'>§ <= /span>insert(x,p) som setter element x inn i prioritetskøen med prioritet lik p
(lite tall betyr høy prioritet, stor= t tall betyr liten priotiet).
<= span style=/://3/3D'font-family:Garamond'>§ <= /span>deleteMin som tar ut og returnerer det elementet i køen som har høyest = ;
priortet (minst p).
Vi skal senere se litt på noen andre operasjoner som en mer avansert
prioritetskø kan tenkes å støtte.
= ;
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Almira Karabeg, Week 6,
September 26th, 2005
Page 7
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Implementasjoner
Det er flere opplagte måter å implementere en prioritetskø på:
Enkel pekerkjede
§setter alltid inn bakerst i pekerkjeden, O (1)
§må traversere listen for å finn= e det minste elementet, O (n)
§ = ;
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v+ROvv8Atn/6MWv/2W== ------=_NextPart_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_files/slide0232.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 6,
September 26th, 2005
Page 8
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Sortert pekerkjede (A1 < A2 <    < An)
§deleteMin tar alltid ut bakerst fra listen, O (1)
§<= /span>ved innsetting må vi gå gjennom listen for å finne riktig plass, O (n)
Enk= el pekerkjede er sannsynligvis bedre enn sortert pekerkjede fordi vi
ald= ri kan ta ut flere elementer enn vi har satt inn.
Søketrær =
I a= lle søketrær bruker både insert og deleteMin i snitt O(log n) tid.
Bal= anserte søketrær (f.eks. B-trær) bruker aldri mer enn O (log n) tid,
men= slike trær er forholdsvis komplekse strukturer.
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Almira Karabeg, Week 6,
September 26th, 2005
Page 9
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Heap-implementasjonen =
En heap, også kalt binary heap, er et binært tre med et
§strukturkrav (hvordan treet ser ut) og et
§heap-ordningskrav (hvordan nodeverdiene er plassert i forhold til hverandre).
§
Heap-impleme= ntasjonen er så populær at mange bruker ordet ‘heap’ som et = = synonym for ‘prioritetskø’.
Insert tar O (log n) tid i verste tilfelle, men konstant tid i gjennomsnitt.
= DeleteMin tar O (log n) både i verste tilfelle og i gjennomsnitt.
= Konstantleddene er små!
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Almira Karabeg, Week 6,
September 26th, 2005
Page 10
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Strukturkravet til en heap
En heap er et komplett binærtre, dvs. et tre hvor hvert nivå i treet= er helt fylt
opp med noder, med unntak av det nederste nivået som er fylt opp fra
venstre mot høyre.
Det er lett å se at alle heaper må ha mellom 2h <= /i>og 2h+1=  - 1 noder, der h er høyden til treet (1 + 2 + 4 +   = +2h =/://3/3D 2h+1-1).  Dermed er høyden i treet (uttrykt ved n) lik logn.
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charset="us-ascii" No Slide Title_澳门葡京手机版app下载
Almira Karabeg, Week 6,
September 26th, 2005
Page 11
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Innsetting og sletting består i &arin= g; la en verdi henholdsvis flyte opp og synke
ned i treet. Siden høyden er logarit= misk, vil operasjonene ikke bruke mer enn
logaritmisk tid, dvs. O (log n).
Vi skal tegne heaper som trær, men p&= aring; grunn av strukturkravet, behøver
vi bare en enkelt array for å impleme= ntere en heap:
= ;
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------=_NextPart_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_files/slide0236.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 6,
September 26th, 2005
Page 12
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Noden i posisjon H(i) har sitt venstre barn i H(2i), sitt høyre barn i
H(2i + 1) og forelderen i H(i/2 ).
Dermed blir operasjonene som traverserer tr= eet ekstremt hurtige.
Vi må bestemme en maksimal stø= rrelse på heapen på forhånd
(evt. allokere mer plass når vi treng= er det, men det er kostbart).
= ;
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Almira Karabeg, Week 6,
September 26th, 2005
Page 13
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Ordningskravet til en heap:
1) Den minste verdien i treet er i roten.
2) Dette skal også gjelde for alle subtrær<= /b>.
= ;
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Almira Karabeg, Week 6,
September 26th, 2005
Page 14
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
<= span style=/://3/3D'font-family:Garamond'>§Vi antar for enkelhets skyld at det bare er prioritetsverdiene som skal
lagres i heapen.
§Ordningskravet gjør at tilleggsopera= sjonen findMin kan
utføres i konstant tid. =
§Hvis man ønsker en “max-heap&#= 8221;, kan man kreve at det største
elementet skal være i roten av treet = (og alle subtrær).
= ;
------=_NextPart_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_files/slide0239.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 6,
September 26th, 2005
Page 15
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Insert
Vi må sikre oss at heap-kravene er op= pfylt etter at innsettingen er ferdig.
Når vi skal sette inn et element X, må vi lage en “boble” (tom node) i
den neste ledige plassen, ellers vil ikke t= reet være komplett.
Vi sjekker om X kan settes inn der boblen står. Hvis det vil ødelegge
heap-ordningskravet, lar vi boblen flyte op= pover i treet (percolat= e up)
inntil den kommer til et sted hvor X kan se= ttes inn.
= ;
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Slide Title_澳门葡京手机版app下载
Almira Karabeg, Week 6,
September 26th, 2005
Page 16
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Eksempel: <= /div>
Sett inn et element med prior= itet 8 i heapen på forrige siden.
8 kan ikke settes inn i den n= ye boblen fordi forelderen i så fall vil ha større
verdi enn barnet (18 <= span lang=/://3/3DNO-BOK style=/://3/3D'font-family:Garamond'>> 8). Vi lar derfor boblen bytte plass med 18= :
Elementet kan fortsatt ikke s= ettes inn fordi 9 > 8, så vi lar boblen flyte oppover = enda et niv&ari= ng;:
Nå kan 8 settes inn fordi 3 < 8. <= /div>
<= /div>
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Almira Karabeg, Week 6,
September 26th, 2005
Page 17
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Tidsforbruk:
I verste fall må vi fly= tte boblen O = (log n) ganger, men i gjennomsnitt flyter
boblen opp bare 1,607 niv&ari= ng;er, dvs. at innsetting tar konstant tid i gjennomsnitt.
Hvis elementet vi setter inn = er den nye minsteverdien i heapen, vil
boblen flyte helt opp til rot= en.
For å slippe å te= ste på om vi er i roten (=/://3/3D plass nr 1 i arrayen) hver
gang vi flytter boblen, kan v= i bruke en dør= vakt (sentinel) i posisjon 0 i arrayen.
Dørvakten må ha = en verdi som garantert= er mindre enn alle lovlige= 3;
prioritetsverdier:
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charset="us-ascii" No Slide Title_澳门葡京手机版app下载
Almira Karabeg, Week 6,
September 26th, 2005
Page 18
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
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Almira Karabeg, Week 6,
September 26th, 2005
Page 19
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
DeleteMin
§Det er lett å finne det minste elemen= tet, men når vi har fjernet
§det, er det en tom boble i roten.
<= span style=/://3/3D'font-family:Garamond'>§Samtidig er vi nødt til å flyt= te den “siste” noden X i heapen, siden treet
§skal krympe med et element og fortsatt v&ae= lig;re komplett.
<= span style=/://3/3D'font-family:Garamond'>§Hvis X kan plasseres i rotboblen uten &arin= g; bryte ordningskravet, er vi ferdig.
<= span style=/://3/3D'font-family:Garamond'>§I motsatt fall lar vi boblen synke nedover i treet (percolate down)
§inntil X kan settes inn i boblen.
<= span style=/://3/3D'font-family:Garamond'>§Når boblen skal synke nedover, lar vi= den bytte plass med sitt minste barn:
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Almira Karabeg, Week 6,
September 26th, 2005
Page 20
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
<= b>Eksempel:
Utfør <= b>deleteMin = på heapen nedenfor:
Først fjerner vi 3 fra rotboblen, og samtid= ig fjerner vi boblen rundt det siste elementet i heapen:
18 kan ikke settes inn i roten fordi barna har mindre verdier, så vi lar boblen synke nedov= er ved at den bytt= er plass med sitt minste barn:
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Almira Karabeg, Week 6,
September 26th, 2005
Page 21
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Fortsatt kan ikke 18 settes inn (fordi 17 <= span lang=/://3/3DNO-BOK style=/://3/3D'font-family:Garamond;font-size:75%'>< 18), så v= i lar boblen synke videre nedover.
Nå kan 18 settes inn.
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Almira Karabeg, Week 6,
September 26th, 2005
Page 22
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Tidsforbruk:
Det viser seg at i gjennomsni= tt synker boblen nesten helt ned til bladnoden,
dvs. at deleteMin er O (log n) både i verste tilfelle og i gjennomsnitt.
Koding:
Vi må passe på det spesialtilfellet at antall elementer i heapen er like og
boblen flyter ned til element= et med bare 1 barn.
------=_NextPart_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_files/slide0247.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 6,
September 26th, 2005
Page 23
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
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Almira Karabeg, Week 6,
September 26th, 2005
Page 24
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Andre heap-operasjoner
Selv om findMin er lett, så er heap-ordningskravet ik= ke til hjelp
hvis vi ønsker å implementere tilleggsfunksjonen findMax<= /span>.
Det eneste vi vet om det største elementet, er at det befinner seg i en
bladnode (hvorfor vet vi det?)
Siden cirka halvparten av nodene i et komplett binærtre er bladnoder, =
er ikke det til noe særlig hjelp.
Hvis det er viktig å vite hvor i heapen et gitt element er, må vi&#= 13;
bruke en annen datastruktur i tillegg, f.eks. en hash.
Hvis kjenner heap-posisjonen, i, til et element, kan følg= ende operasjoner
utføres i O (log = n) verstetid: DecreaseKey(i,<= span lang=/://3/3DEL style=/://3/3D'font-family:Garamond;color:#0033CC'>Δ)= , IncreaseKey(i, = Δ)= og Delete(i).
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Almira Karabeg, Week 6,
September 26th, 2005
Page 25
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
DecreaseKey(= i, &#= 916;)
DecreaseKey<= /b> minsker prioriteten til elementet i posisjon ’i’ med verdien
(H= [i] =/://3/3D H[i]Δ i en heltalls-heap).
Heap-ordningen kan bli ødelagt, så  vi lar elementet flyte oppover i&= #13;
heapen inntil den er kommet til en “lovlig” plass.&#= 13;
Eksampel (OS): En systemadministrator kan øke prioriteten til en viktig jobb.
IncreaseKey(= i, &#= 916;)
IncreaseKey<= /b> øker prioriteten til elementet i pos= isjon ’i’ med verdien
(H= [i] =/://3/3D H[i] + Δ).
Heap-ordningen kan bli ødelagt, så vi lar elementet synke nedover i
heapen inntil det er kommet på riktig plass.
Eksampel (OS): Mange jobbfordelere senker automatisk prioriteten på <= /span>
jobber som har kjørt lenge.
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Almira Karabeg, Week 6,
September 26th, 2005
Page 26
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Delete
Delete fjerner elem= entet i posisjon ’i’ fra heapen. Det kan gjøres ved =
først å utf&osla= sh;re DecreaseKey(= i,∞) og deretter DeleteMin.
Eksampel(OS): <= span lang=/://3/3DNO-BOK style=/://3/3D'font-family:Garamond'>Når en bruker dreper en= prosess (kill), må den fjernes fra
prioritetskøen.
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Almira Karabeg, Week 6,
September 26th, 2005
Page 27
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
BuildHeap= 3;
Anta at du har N elementer som du ønsker å sette inn i en tom heap.
En enkel innsetting tar O (1) tid i gjennomsnitt og = O (log n) tid i verste fall.
Dermed kan vi bygge heapen i O (n) gjennomsnittlig tid og O (n log n)
verstetid ved å utføre Insert N ganger.= 3;
Er det mulig å klare å få lineær tid også i verste tilfelle?
En smart BuildHeap-algoritme:
1. Sett de N elementene inn i et komplett binærtre, men uten å tenke på om = heap-ordingskravet er oppfylt= .
2. for i=/://3/3D N div 2 downto 1
    PercolateDown(i); = ;
  PercolateDown(i) lar elementet i posisjon ’i’ sy= nke ned i treet.
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Almira Karabeg, Week 6,
September 26th, 2005
Page 28
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
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Almira Karabeg, Week 6,
September 26th, 2005
Page 29
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
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Almira Karabeg, Week 6,
September 26th, 2005
Page 30
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Vi ønsker å vise= at algoritmen har verstetid O (n).
Vi observerer at i eksemplet = over er arbeidet (antall flyttinger/tester)
proporsjonalt med antallet røde kanter.
Antall røde kanter kan maksimalt være lik summen av høydene til alle
nodene i heapen. <= /div>
Hvis vi kan bevise at denne s= ummen alltid er O <= /i>(n), så er algoritmen også O (n).
------=_NextPart_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_files/slide0258.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 6,
September 26th, 2005
Page 31
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
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Almira Karabeg, Week 6,
September 26th, 2005
Page 32
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Dette er en øvre grens= e. = Siden en heap m= ed høyde h har mellom 2h og 2h+1 1 noder, så er sum= men O (n= ).
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Almira Karabeg, Week 6,
September 26th, 2005
Page 33
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Anvendelser
Sortering
Anta at vi skal sortere n elementer. Ved først å bruke BuildHeap og
deretter deleteMin n ganger, har vi en rask O (n + n log n) =/://3/3D O (n log n)
sorteringsalgoritme.
Å finne medianen
Vi kan også finne det <= /span>k’te minste elementet ved å bruk= e BuildHeap og
deretter deleteMin k ganger. Vi har dermed en O (n log n)-algoritme for å finne
medianen (k =/://3/3D n=/://3/3D2).
------=_NextPart_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_files/slide0261.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 6,
September 26th, 2005
Page 34
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Hendelsesimulering
Ved simulering (f.eks. av kassakøer i et supermarked) deler man tiden inn
i diskrete biter kalt “ticks”.
I stedet for for hvert tick &= aring; sjekke om det er registrert en hendelse på dette
tidspunktet, legger man hende= lsene inn i en prioritetskø ordnet etter
hendelsestidspunktet.
Neste hendelse kan da taes ut= fra toppen av heapen.
Dette sparer mye prosessering= stid, spesielt ved høy tidsoppløselighet.
= ;
------=_NextPart_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_files/slide0262.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 6,
September 26th, 2005
Page 35
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Binomialtrær-implementasjon (Binomial Queues) =
<= /div>
Binomial queue er en mengde (= skog) av heap-ordered trær som heter binomial trær. Et binomial = ;
tre av høyden 0 er en = node. Et tre av høyden k er formet ved å sette et tre av høy= den k-1 som et
nytt barn av rotnoden av et a= nnet tre av høyden k-1. Et binomial tre av høyden k har presis= 3;
2k<= /span> noder.
/://3/3Dfigure26610
OBS. Roten av B= k har = orden k og det
er 2k node= r i treet (man kan bevise
dette ved induk= sjon). Høyden ev treet er k.
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Almira Karabeg, Week 6,
September 26th, 2005
Page 36
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Den store fordelen av binomia= l queues er et det er veldig lett å sette dem sammen (merge).
O(lg n)<= span style=/://3/3D'font-family:"Times New Roman";font-size:133%;layout-flow:horizont= al; mso-special-format:lastCR;display:none'>
O(lg n)<= span style=/://3/3D'font-family:"Times New Roman";font-size:133%;layout-flow:horizont= al; mso-special-format:lastCR;display:none'>
O(lg n)*=
Binomial <= /span>Queues
O(lg n)<= span style=/://3/3D'font-family:"Times New Roman";font-size:133%;layout-flow:horizont= al; mso-special-format:lastCR;display:none'>
O(lg n)<= span style=/://3/3D'font-family:"Times New Roman";font-size:133%;layout-flow:horizont= al; mso-special-format:lastCR;display:none'>
O(lg n) 
Leftist Heaps
O(n)
O(lg n)<= span style=/://3/3D'font-family:"Times New Roman";font-size:133%;layout-flow:horizont= al; mso-special-format:lastCR;display:none'>
O(lg n)*=
Binary Heaps
merge
deleteMin
insert
* - konstant gjennomsnitt=
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Almira Karabeg, Week 6,
September 26th, 2005
Page 37
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Hvis vi skal representere et = binomial queue med 6 noder og en med 7
for eksampel, tar vi utgangsp= unkt i binær representasjoner av 6 og 7.
13=/://3/3D1102  og  7=/://3/3D1112. Vi representerer den første køen ved B2 og B0
og den andre ved B2, B1 og B0. = ;
16
18
12
21
24
65
13
14
26
=
23
51
24
64
= ;
<= span lang=/://3/3DNO-BOK style=/://3/3D'font-family:Arial;font-size:75%;layout-flow:vertica= l; mso-special-format:lastCR;display:none'>
16
18
=
13
14
26
=
<= span lang=/://3/3DNO-BOK style=/://3/3D'font-family:Arial;font-size:75%;layout-flow:vertica= l; mso-special-format:lastCR;display:none'>
=
23
51
24
64
=
12
21
  24
65
Resultaten av m= erge operasjonen
er et tre med 1= 3 noder og vi kan
forvente å= ; se ett tre med 1 node,
ett med 4 og et= t med 8 siden
13=/://3/3D11012 ( B3, B2 og B0.)
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Almira Karabeg, Week 6,
September 26th, 2005
Page 38
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Oper= asjoner:
=
Inse= rt – lag et tr= e med bare en node og merge med resten…
=
Dele= teMin – sjekk rott= er i skogen, finn den minste, lagg en ny kø med det treet, fjern = = den. Resulterende = skogen merg= e med den gammle køen.
=
Eksempel:
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Almira Karabeg, Week 6,
September 26th, 2005
Page 39
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
=
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Content-Type: image/gif R0lGODlhMAATAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAv ABIAgAAAADNmmQIxTICpy+2PzIG0WmmzXmb7jH3iE46mUp5np6ppK76wJ88aa391Xu085Ps5gkIG rtgrAAA7 ------=_NextPart_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_files/slide0267.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 6,
September 26th, 2005
Page 40
Department of Informatics, University of Oslo, Norway
INF1020 – Algorit= hms & Data Structures
TEMA: Prioritetskøer
Neste gang:
§<= /span>Innledning i grafer
§<= /span>Topologisk sortering
§<= /span>Korteste vei
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‹h= eader›
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‹date/time›
Click to edit Master text styles
Second level
Third level
Fourth level
Fifth level
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‹f= ooter›
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InitHLinkArray() if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) ) 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()=20 { var fTrans=/://3/3Dg_showAnimation && SldHasTrans() if( fTrans )=09 { 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()=09 } SlideObj.style.visibility=/://3/3D"visible" if( fTrans ) SlideObj.filters.revealtrans.Play() } function MakeNotesVis()=20 { if( !IsNts() ) return false=20 SlideObj.style.display=/://3/3D"none" nObj =/://3/3D document.all.item("NotesObj") parent.SetHasNts(0) if( nObj ) {=20 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.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( IsWin("PPTSld")||IsWin("PPTNts") ) } function SupportsPPTAnimation() { return( navigator.platform =/://3/3D=/://3/3D "Win32"= && navigator.appVersion.indexOf("Windows")>0 ) } function SupportsPPTHTML() { var appVer=/://3/3Dnavigator.appVersion, msie=/://3/3DappVer.indexOf("MSIE "), ver=/://3/3D0 if( msie >=/://3/3D 0 ) ver=/://3/3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) ) else ver=/://3/3DparseInt(appVer) return( ver >=/://3/3D 4 && msie >=/://3/3D 0 ) } function _RSW() { if( !g_supportsPPTHTML || IsNts() || ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) ) return var padding=/://3/3D0; if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=/://3/3D6 cltWidth=/://3/3Ddocument.body.clientWidth-padding cltHeight=/://3/3Ddocument.body.clientHeight-padding factor=/://3/3D(1.0*cltWidth)/g_origW if( cltHeight < g_origH*factor ) factor=/://3/3D(1.0*cltHeight)/g_origH newSize =/://3/3D g_origSz * factor if( newSize < 1 ) newSize=/://3/3D1 s=/://3/3DSlideObj.style s.fontSize=/://3/3DnewSize+"px" s.posWidth=/://3/3Dg_origW*factor s.posHeight=/://3/3Dg_origH*factor s.posLeft=/://3/3D(cltWidth-s.posWidth+padding)/2 s.posTop=/://3/3D(cltHeight-s.posHeight+padding)/2 if( g_scaleHyperlinks ) ScaleHyperlinks( factor ) } function _InitAnimations() { animRuntimeInstalled =/://3/3D ''+document.body.localTime !=/://3/3D 'undefined'; isFullScreen =/://3/3D (window.name =/://3/3D=/://3/3D "PPTSld") && !parent.IsFramesMode(); g_animUseRuntime =/://3/3D g_showAnimation && animRuntimeInstalled && !(isFullSc= reen && parent.IsSldVisited()); if( g_animUseRuntime ) { collSeq =/://3/3D document.all.tags("seq"); if( collSeq !=/://3/3D null ) { for(ii=/://3/3D0;ii numSlds ) gSldJumpIdx =/://3/3D numSlds; if ( gSldJumpIdx >=/://3/3D 0 ) { if ( gSldJumpIdx =/://3/3D=/://3/3D 0 ) gSldJumpIdx =/://3/3D 1; var jumpTo =/://3/3D parseInt(gSldJumpIdx); gSldJump =/://3/3D 0; gSldJumpIdx =/://3/3D ""; win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldhref ) } } } function _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=/://3/3D40, 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("slide0226.htm",1,-1,1),new hrefList(= "slide0228.htm",1,-1,1),new hrefList("slide0256.htm",1,-1,1),new hrefList("= slide0253.htm",1,-1,1),new hrefList("slide0229.htm",1,-1,1),new hrefList("s= lide0230.htm",1,-1,1),new hrefList("slide0231.htm",1,-1,1),new hrefList("sl= ide0232.htm",1,-1,1),new hrefList("slide0233.htm",1,-1,1),new hrefList("sli= de0234.htm",1,-1,1),new hrefList("slide0235.htm",1,-1,1),new hrefList("slid= e0236.htm",1,-1,1),new hrefList("slide0237.htm",1,-1,1),new hrefList("slide= 0238.htm",1,-1,1),new hrefList("slide0239.htm",1,-1,1),new hrefList("slide0= 240.htm",1,-1,1),new hrefList("slide0241.htm",1,-1,1),new hrefList("slide02= 42.htm",1,-1,1),new hrefList("slide0243.htm",1,-1,1),new hrefList("slide024= 4.htm",1,-1,1),new hrefList("slide0245.htm",1,-1,1),new hrefList("slide0246= .htm",1,-1,1),new hrefList("slide0247.htm",1,-1,1),new hrefList("slide0248.= htm",1,-1,1),new hrefList("slide0249.htm",1,-1,1),new hrefList("slide0250.h= tm",1,-1,1),new hrefList("slide0251.htm",1,-1,1),new hrefList("slide0252.ht= m",1,-1,1),new hrefList("slide0225.htm",1,-1,1),new hrefList("slide0257.htm= ",1,-1,1),new hrefList("slide0258.htm",1,-1,1),new hrefList("slide0259.htm"= ,1,-1,1),new hrefList("slide0260.htm",1,-1,1),new hrefList("slide0261.htm",= 1,-1,1),new hrefList("slide0262.htm",1,-1,1),new hrefList("slide0263.htm",1= ,-1,1),new hrefList("slide0264.htm",1,-1,1),new hrefList("slide0265.htm",1,= -1,1),new hrefList("slide0266.htm",1,-1,1),new hrefList("slide0267.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_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_files/fullscreen.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" ------=_NextPart_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_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_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_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_01C5BF86.026A2200 Content-Location: file:///C:/2F696D12/file8354_files/outline.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"
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Slide Show
Outline
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