Lec20

MIME-Version: 1.0Content-Type: multipart/related; boundary="----=_NextPart_01C52BA1.40FF0130"

This document is a Web archive file. If you are seeing this message, this means your browser or editor doesn't support Web archive files. For more information on the Web archive format, go to http://officeupdate.microsoft.com/office/webarchive.htm

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link rel=3DFile-List href=3D"lec20_files/filelist.xml"><link rel=3DPreview href=3D"lec20_files/preview.wmf"><link rel=3DEdit-Time-Data href=3D"lec20_files/editdata.mso"><title>Priority Queues</title><link rel=3DPresentation-XML href=3D"lec20_files/pres.xml"><meta name=3DDescription content=3D"3/18/2005: Priority Queues"><meta http-equiv=3Dexpires content=3D0><![if !ppt]><script></script><![endif]></head>

<body><script></script><font face=3DArial size=3D2><b>

<p>This presentation contains content that your browser may not be able to =showproperly. This presentation was optimized for more recent versions of Micro=softInternet Explorer.</p>

<p>If you would like to proceed anyway, click <a href=3D"lec20_files/frame.=htm">here</a>.</p>

</b></font><script></script></body>

</html>

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/master04.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"


<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\master04.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DRobots content=3DNoIndex><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><script src=3Dscript.js></script><script></script><![endif]></head>

<body>

<div v:shape=3D"_x0000_s106498" class=3DO style=3D'text-align:center;mso-ch=ar-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:Arial;font-size:50%;mso-field-code:meta15'>‹footer›</span><span style=3D'font-famil=y:Arial;font-size:50%;mso-special-format:lastCR'> </span></div>

<div v:shape=3D"_x0000_s106499" class=3DO style=3D'text-align:right;mso-cha=r-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:"Arial Black";font-siz=e:50%;mso-field-code:meta16'>‹#›</span><span style=3D'font-family=:"Arial Black";font-size:50%;mso-special-format:lastCR'> </span></div>

<div v:shape=3D"_x0000_s106501" class=3DO style=3D'text-align:center;mso-ch=ar-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'> </span></div>

<div v:shape=3D"_x0000_s106502" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:"Times New Roman";mso-special-format:lastCR'>= </span></div>

<div v:shape=3D"_x0000_s106503" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:Arial;font-size:75%;color:#666699;mso-color-i=ndex:6;mso-special-format:lastCR'> </span></div>


<div v:shape=3D"_x0000_s106505" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:Arial;font-size:75%;color:#9999CC;mso-color-i=ndex:5;mso-special-format:lastCR'> </span></div>



<div v:shape=3D"_x0000_s106508" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:Arial;font-size:75%;color:#9999CC;mso-color-i=

ndex:5;mso-special-format:lastCR'> </span></div>

<div v:shape=3D"_x0000_s106509" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span style=3D'font-family:Arial;font-size:75%;color:#9999CC;mso-color-i=ndex:5;mso-special-format:lastCR'> </span></div>

<div v:shape=3D"_x0000_m106510" class=3DT>Click to edit Master title style<=/div>

<div v:shape=3D"_x0000_m106511">

<div class=3DB>Click to edit Master text styles </div>

<div class=3DB1>Second level </div>

<div class=3DB2>Third level </div>

<div class=3DB3>Fourth level </div>

<div class=3DB4>Fifth level</div>

</div>

<div v:shape=3D"_x0000_s106512" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span lang=3DEN-US style=3D'font-family:Arial;font-size:50%;mso-field-co=de:meta0'>‹date/time›</span><spanstyle=3D'font-family:Arial;font-size:50%;mso-special-format:lastCR'> </=span></div>

</body>

</html>

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/master04.xmlContent-Transfer-Encoding: quoted-printableContent-Type: text/xml; charset="utf-8"

<xml xmlns:v=3D"urn:schemas-microsoft-com:vml" xmlns:o=3D"urn:schemas-microsoft-com:office:office" xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint" xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"104"/> </o:shapelayout><p:colorscheme colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6="/> <v:background id=3D"_x0000_s106497" o:bwmode=3D"white" fillcolor=3D"#cccce=6 [7]"/> <p:shaperange id=3D"_x0000_s106498"> <v:shapetype id=3D"_x0000_s106498" style=3D'position:absolute;left:246pt;=top:492pt; width:228pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/>

<p:placeholder type=3D"footer" position=3D"3" size=3D"quarter"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s106499"> <v:shapetype id=3D"_x0000_s106499" style=3D'position:absolute;left:516pt;=top:492pt; width:168pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"slideNumber" position=3D"4" size=3D"quarter"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s106500"> <v:group id=3D"_x0000_s106500" style=3D'position:absolute;left:0;top:0;wi=dth:10in; height:43pt' coordsize=3D"5760,344"> <v:rect id=3D"_x0000_s106501" style=3D'position:absolute;width:180;heigh=t:336; mso-wrap-style:none;v-text-anchor:middle' fillcolor=3D"#cccce6 [7]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" angle=3D"-90" focus=3D"100%" type=3D"gradi=ent"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s106502" style=3D'position:absolute;left:2=60; top:85;width:5500;height:173' fillcolor=3D"#00007d [2]" stroked=3D"f"> <v:fill color2=3D"white [0]" angle=3D"-90" focus=3D"100%" type=3D"gradi=ent"/> </v:rect><v:rect id=3D"_x0000_s106503" style=3D'position:absolute;left:2=58; top:85;width:87;height:89' fillcolor=3D"#cccce6 [7]" stroked=3D"f"/> <v:rect id=3D"_x0000_s106504" style=3D'position:absolute;left:345;width:=88; height:87' fillcolor=3D"#cccce6 [7]" stroked=3D"f"/> <v:rect id=3D"_x0000_s106505" style=3D'position:absolute;left:345;top:85; width:88;height:89' fillcolor=3D"#99c [5]" stroked=3D"f"/> <v:rect id=3D"_x0000_s106506" style=3D'position:absolute;left:173;top:17=3; width:86;height:87' fillcolor=3D"#cccce6 [7]" stroked=3D"f"/> <v:rect id=3D"_x0000_s106507" style=3D'position:absolute;left:83;top:86;=width:89; height:87' fillcolor=3D"#00007d [2]" stroked=3D"f"/> <v:rect id=3D"_x0000_s106508" style=3D'position:absolute;left:258;top:17=1; width:87;height:87' fillcolor=3D"#99c [5]" stroked=3D"f"/> <v:rect id=3D"_x0000_s106509" style=3D'position:absolute;left:173;top:25=8; width:86;height:86' fillcolor=3D"#99c [5]" stroked=3D"f"/> </v:group></p:shaperange> <p:shaperange id=3D"_x0000_m106510"> <v:shapetype id=3D"_x0000_m106510" style=3D'position:absolute;left:36pt;t=op:36pt; width:9in;height:108pt;v-text-anchor:middle' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"title"/>

</v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_m106511"> <v:shapetype id=3D"_x0000_m106511" style=3D'position:absolute;left:36pt;t=op:156pt; width:9in;height:306pt' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D="1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" s=troked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"body" position=3D"1"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s106512"> <v:shapetype id=3D"_x0000_s106512" style=3D'position:absolute;left:36pt;t=op:491.75pt; width:168pt;height:37.5pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"dateTime" position=3D"2" size=3D"half"/> </v:shapetype></p:shaperange></xml>------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/preview.wmfContent-Transfer-Encoding: base64Content-Type: image/x-wmf

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

vN283bzdvLzdvN28vLzd3d28vLy83by83by83by83bzdvN283bzdvN283bzd3d3d3d283bzd3bzd3by83bzd3uLetbW8vN283by83bzdvN283d28vLzdvN3dvN3d3bzd3bzd3bzdvLzdvN283bzdvN28vLy8vLzdvLzdvN283bzdvN3dvLzdvN3dvLzd3by83d28vN3dvN283bzd3bzdvLzdvN28vN283bzdvN3dvLy83bzd3bzd3d283d283d283by83bzdvN283bzdvLy8vLy83by83bzdvN283by83d7//7W13bzd3bzd3d283bzd3bzdvN3dvN3dvN28vN283by83by83bzd3by83by83bzd3d3d3d3dvN283bzdvN3dvN28vLzdvN3dvN283bzd3bzd3bzdvLzdvN28vN283d283d283d3dvN283d283bzd3bzd3bzdvLzdvN28vN28vN283d28vN28vN283d3d3d3d3bzdvN283bzd3bzd3cPd4v+83bW1tWCFYKZmZqJmhmaGZoZmhotnhm2Gi4aMbYaLi66LjG2Mrq6urq6ujZGNjZGRrpKRko2StbSSjbWSkrWStbW1mLWStru2u7W8tra7try2tru8vLy8vLy8wry84sO83b3ivMLew97C3cLdvd3iveLD4uLi3sPi/+L/4t7D3v/D////4sPi///////////////iw////////9284v//3by1tbWFpmZloqKmZqZmhoZmhoxmhoZmhoxti4aujG2ujK6urouurq6urq6Rrs+ujZKvjbSRjZKNtZKStLWStZK1mbW1u7aSu5O7tru7vLa7vLy8vN22vN3dvN283by83eLCvL3d3cLdw+Lew+Lew93e/97ew+Li/97D/97////i/97i///////e4v/////////////////////dvF9fX93dvN28tbWipqJmZoZmhoZmi4ZshmeLZ4tshoyMbYaMi22Mrq6urq6urpGuja6SkY2ukZGSr7SStJK1r5KStbWStbu1mbaYu7a1tru8tru8try7try8u7y8vLy83rzdvLy9vN3dw73dw93eveLdw+LD4r3iw//e3sP/3uLD3uL/////w97//97/w////+L/////////////////3cKFhYW8vN283bW1hWZmpmaGhmZmhmZmhoaGbIaMZ4tti4tti4yui22Mrq6uro2ujc+ujc+RjbSNrpK0kq+StJKStZKStbaStZK1tbW2u5O7tru2vLu2vN28vLy83bzdvLzdwt684t29wt3C3eK9wuLew93e3sPi3v/iw+Liw+Le/+LD3uLD/+L/4sP//////////97D/////////////7zdX19f3bzd3by1tWamYKaiZmWGhmaGhmaLhmeGi4Znhq6Mi66urq6urq6urq6urq6Rka6Sz66Nks+SjZKNtY2StbWStbWYtba7mLa7mbW7tpi2u7a8u7y8tt28vLy8vOK8vby84ry94r3d3r3C3uK94t3D4uLD3uLew97/3v///8P//8P/3v///97//+L////e///////////////////d3cP//93dvN283bzdvN28vN3dvN3dvN283bzdvN283bzdvLzdvN283d283d283bzd3bzd3bzdvLzdvN3dvN3dvN283bzdvLzd3d283d3d3d283by83bzd3bzd3d283d3d3bzdvN283bzdvLzd3bzd3bzdvN283bzdvN283by83bzdvN3dvN3dvN283d283d283by83bzd3bzd3bzdvN28vMLe4v+8vN283bzdvN283d28vLzdvLzdvN283bzdvN3dvN283bzdvN283by83bzdvN28vN3dvN3d3by8vN28vN283by83d28vLy83by83by8vN3d3bzd3bzdvLy83d28vLzdvN283bzdvN3dvLy83by83bzdvN283bzd3bzdvN283bzdvN28vN283bzdvLzd3bzd3d28vLzdvLzdvN28vAMAAAAAAA==




parent.location.href=3Ddocument.all.item("Main-File").href//--></script><![endif]></head>

<body>

<div v:shape=3D"_x0000_s107523" class=3DO style=3D'text-align:center;mso-ch=ar-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:"Times New Roman";

mso-special-format:lastCR'> </span></div>












<div v:shape=3D"_x0000_s107536" class=3DO style=3D'mso-char-wrap:1;mso-kins=oku-overflow:1'><span lang=3DEN-US style=3D'font-family:Arial;font-size:50%;mso-field-co=de:meta0'>‹date/time›</span><spanstyle=3D'font-family:Arial;font-size:50%;mso-special-format:lastCR'> </=span></div>

<div v:shape=3D"_x0000_s107537" class=3DO style=3D'text-align:center;mso-ch=ar-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:Arial;font-size:50%;mso-field-code:meta15'>‹footer›</span><span style=3D'font-famil=y:Arial;font-size:50%;mso-special-format:lastCR'> </span></div>

<div v:shape=3D"_x0000_s107538" class=3DO style=3D'text-align:right;mso-cha=r-wrap:1;mso-kinsoku-overflow:1'><span style=3D'font-family:"Arial Black";font-siz=e:50%;mso-field-code:meta16'>‹#›</span><span style=3D'font-family=:"Arial Black";font-size:50%;mso-special-format:lastCR'> </span></div>

<div v:shape=3D"_x0000_s107539" class=3DCT>Click to edit Master title style=</div>

<div v:shape=3D"_x0000_s107540" class=3DCB>Click to edit Master subtitle st=yle</div>

</body>

</html>

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/master05.xmlContent-Transfer-Encoding: quoted-printableContent-Type: text/xml; charset="utf-8"

<xml xmlns:v=3D"urn:schemas-microsoft-com:vml" xmlns:o=3D"urn:schemas-microsoft-com:office:office" xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint" xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"105"/> </o:shapelayout><p:colorscheme colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6="/> <v:background id=3D"_x0000_s107521" o:bwmode=3D"white" fillcolor=3D"#cccce=6 [7]"/> <p:shaperange id=3D"_x0000_s107522"> <v:group id=3D"_x0000_s107522" style=3D'position:absolute;left:0;top:0;wi=dth:10in; height:540pt' coordsize=3D"5760,4320"> <v:rect id=3D"_x0000_s107523" style=3D'position:absolute;width:2208;heig=ht:4320; mso-wrap-style:none;v-text-anchor:middle' o:bwmode=3D"undrawn" fillcolo=r=3D"#cccce6 [7]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" angle=3D"-90" focus=3D"100%" type=3D"gradi=ent"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s107524" style=3D'position:absolute;left:1=081; top:1065;width:4679;height:1596' o:bwmode=3D"undrawn" fillcolor=3D"#000=07d [2]" stroked=3D"f"/> <v:group id=3D"_x0000_s107525" style=3D'position:absolute;top:672;width:=1806; height:1989' coordorigin=3D",672" coordsize=3D"1806,1989"> <v:rect id=3D"_x0000_s107526" style=3D'position:absolute;left:361;top:2=257; width:363;height:404' o:userdrawn=3D"t" fillcolor=3D"#99c [5]" stroked=

=3D"f"/> <v:rect id=3D"_x0000_s107527" style=3D'position:absolute;left:1081;top:=1065; width:362;height:405' o:userdrawn=3D"t" fillcolor=3D"#cccce6 [7]" stro=ked=3D"f"/> <v:rect id=3D"_x0000_s107528" style=3D'position:absolute;left:1437;top:=672; width:369;height:400' o:userdrawn=3D"t" fillcolor=3D"#cccce6 [7]" stro=ked=3D"f"/> <v:rect id=3D"_x0000_s107529" style=3D'position:absolute;left:719;top:2=257; width:368;height:404' o:userdrawn=3D"t" fillcolor=3D"#00007d [2]" stro=ked=3D"f"/> <v:rect id=3D"_x0000_s107530" style=3D'position:absolute;left:1437;top:=1065; width:369;height:405' o:userdrawn=3D"t" fillcolor=3D"#99c [5]" stroked==3D"f"/> <v:rect id=3D"_x0000_s107531" style=3D'position:absolute;left:719;top:1=464; width:368;height:399' o:userdrawn=3D"t" fillcolor=3D"#cccce6 [7]" stro=ked=3D"f"/> <v:rect id=3D"_x0000_s107532" style=3D'position:absolute;top:1464;width=:367; height:399' o:userdrawn=3D"t" fillcolor=3D"#00007d [2]" stroked=3D"f"/> <v:rect id=3D"_x0000_s107533" style=3D'position:absolute;left:1081;top:=1464; width:362;height:399' o:userdrawn=3D"t" fillcolor=3D"#99c [5]" stroked==3D"f"/> <v:rect id=3D"_x0000_s107534" style=3D'position:absolute;left:361;top:1=857; width:363;height:406' o:userdrawn=3D"t" fillcolor=3D"#cccce6 [7]" stro=ked=3D"f"/> <v:rect id=3D"_x0000_s107535" style=3D'position:absolute;left:719;top:1=857; width:368;height:406' o:userdrawn=3D"t" fillcolor=3D"#99c [5]" stroked==3D"f"/> </v:group></v:group></p:shaperange> <p:shaperange id=3D"_x0000_s107536"> <v:shapetype id=3D"_x0000_s107536" style=3D'position:absolute;left:36pt;t=op:492pt; width:168pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"dateTime" position=3D"2" size=3D"half"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s107537"> <v:shapetype id=3D"_x0000_s107537" style=3D'position:absolute;left:246pt;=top:492pt; width:228pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"footer" position=3D"3" size=3D"quarter"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s107538">

<v:shapetype id=3D"_x0000_s107538" style=3D'position:absolute;left:516pt;=top:492pt; width:168pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"slideNumber" position=3D"4" size=3D"quarter"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s107539"> <v:shapetype id=3D"_x0000_s107539" style=3D'position:absolute;left:234pt;=top:2in; width:474pt;height:174pt;v-text-anchor:middle' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"centerTitle"/> </v:shapetype></p:shaperange> <p:shaperange id=3D"_x0000_s107540"> <v:shapetype id=3D"_x0000_s107540" style=3D'position:absolute;left:234pt;=top:336pt; width:474pt;height:138pt' coordsize=3D"21600,21600" o:master=3D"" o:spt==3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#99f [4]" s=troked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"#00007d [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"subTitle" position=3D"1"/> </v:shapetype></p:shaperange></xml>------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/pres.xmlContent-Transfer-Encoding: quoted-printableContent-Type: text/xml; charset="utf-8"

<xml xmlns:v=3D"urn:schemas-microsoft-com:vml" xmlns:o=3D"urn:schemas-microsoft-com:office:office" xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint" xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"> <p:presentation sizeof=3D"screen" gridspacingx=3D"49152" gridspacingy=3D"4=9152"> <p:master id=3D"4" slidesn=3D"1C00DA9,3702FA30" type=3D"main" href=3D"mas=ter04.htm" xmlhref=3D"master04.xml" template=3D"Pixel" preserved=3D"t" layout=3D"ti=tle_body" slots=3D"title,body,dateTime,footer,slideNumber"> <p:schemes> <p:colorscheme colors=3D"#000066,#FFFFFF,#0066FF,#FFFFFF,#6699FF,#3333FF,#FFCC00,#000=0CC"/> <p:colorscheme colors=3D"#334B49,#FFFFFF,#009999,#FFFFFF,#33CCCC,#008080,#FFCC00,#006=666"/>

<p:colorscheme colors=3D"#333399,#FFFFFF,#006699,#FFFFFF,#0099CC,#0386AF,#FFCC00,#669=9FF"/> <p:colorscheme colors=3D"#2F978D,#FFFFFF,#008080,#FFFFFF,#0099FF,#009999,#FFFFCC,#70C=AC6"/> <p:colorscheme colors=3D"#330000,#FFFFFF,#822504,#FFFFFF,#FF9900,#9E2A06,#FF3300,#7C0=704"/> <p:colorscheme colors=3D"#4A7911,#FFFFFF,#336600,#FFFFFF,#666633,#669900,#FFCC00,#99C=C00"/> <p:colorscheme colors=3D"#FFFFFF,#000000,#CC3300,#000000,#FFCC00,#CC6600,#663300,#CC9=900"/> <p:colorscheme colors=3D"#FFFFFF,#003300,#336600,#000000,#CCCC00,#669900,#333300,#99C=C00"/> <p:colorscheme colors=3D"#FFFFFF,#000000,#440044,#000000,#FFCCCC,#790571,#993366,#9F8=39F"/> <p:colorscheme colors=3D"#FFFFFF,#000000,#FF9900,#000000,#FFCC99,#FBA313,#CC3300,#FCC=66E"/> <p:colorscheme colors=3D"#FFFFFF,#000000,#779F92,#000000,#33CCCC,#9DC2D7,#006666,#CCC=CFF"/> <p:colorscheme colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCC=CE6"/> </p:schemes> </p:master> <p:master id=3D"5" slidesn=3D"1C00DA9,3702FA30" type=3D"title" href=3D"ma=ster05.htm" xmlhref=3D"master05.xml" preserved=3D"t" layout=3D"title_subtitle" slots=3D"centerTitle,subTitle,dateTime,footer,slideNumber"/> <p:master id=3D"1" slidesn=3D"1C4ECBF,ABB9230" type=3D"notes" href=3D"mas=ter01.htm" layout=3D"notes" slots=3D"header,dateTime,slideImage,body,footer,slideNu=mber"/> <p:slide id=3D"1" slidesn=3D"0,0" href=3D"slide0001.htm" layout=3D"2_colu=mns" slots=3D"title,body,object" overridemasteranimations=3D"t"/> <p:slide id=3D"123" slidesn=3D"1C501D4,444B3080" href=3D"slide0123.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"125" slidesn=3D"1C501D7,37425E60" href=3D"slide0125.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"73" slidesn=3D"0,0" href=3D"slide0073.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"98" slidesn=3D"0,0" href=3D"slide0098.htm" layout=3D"2_col=umns" slots=3D"title,body,object" overridemasteranimations=3D"t"/> <p:slide id=3D"101" slidesn=3D"0,0" href=3D"slide0101.htm" layout=3D"2_co=lumns" slots=3D"title,body,object" overridemasteranimations=3D"t"/> <p:slide id=3D"102" slidesn=3D"0,0" href=3D"slide0102.htm" layout=3D"2_co=lumns" slots=3D"title,body,object" overridemasteranimations=3D"t"/> <p:slide id=3D"103" slidesn=3D"0,0" href=3D"slide0103.htm" layout=3D"2_co=lumns" slots=3D"title,body,object" overridemasteranimations=3D"t"/> <p:slide id=3D"104" slidesn=3D"0,0" href=3D"slide0104.htm" layout=3D"2_co=lumns"

slots=3D"title,body,object" overridemasteranimations=3D"t"/> <p:slide id=3D"74" slidesn=3D"0,0" href=3D"slide0074.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"75" slidesn=3D"0,0" href=3D"slide0075.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"118" slidesn=3D"1C5016F,9054EE90" href=3D"slide0118.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"119" slidesn=3D"1C50170,45AF04B0" href=3D"slide0119.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"130" slidesn=3D"1C501F3,201E1410" href=3D"slide0130.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"120" slidesn=3D"1C50170,922EE940" href=3D"slide0120.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"76" slidesn=3D"0,0" href=3D"slide0076.htm" xmlhref=3D"slid=e0076.xml" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"77" slidesn=3D"0,0" href=3D"slide0077.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"65" slidesn=3D"1C4FFB6,8A1D4000" href=3D"slide0065.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"69" slidesn=3D"1C50049,9C59F180" href=3D"slide0069.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"117" slidesn=3D"1C50168,CD7B3EC0" href=3D"slide0117.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"78" slidesn=3D"0,0" href=3D"slide0078.htm" layout=3D"title=_body" slots=3D"title,body"/> <p:slide id=3D"70" slidesn=3D"1C50049,F0D01AF0" href=3D"slide0070.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"122" slidesn=3D"1C501C5,91C9BE30" href=3D"slide0122.htm" layout=3D"title_body" slots=3D"title,body"/> <p:slide id=3D"126" slidesn=3D"1C501EF,D0417750" href=3D"slide0126.htm" layout=3D"title_body" slots=3D"title,body"/> <p:viewstate type=3D"slideSorter" nosnaptogrid=3D"t" restoredleft=3D"156" restoredtop=3D"946" hideoutlineicons=3D"t"/> <p:tag name=3D"___PPT2001" type=3D"binary" datasize=3D"68" dataoffset=3D"=12"/> <p:kinsoku language=3D"Japanese" level=3D"levelOne"/> <p:font name=3D"Times" charset=3D"0" type=3D"4"/> <p:font name=3D"Arial" charset=3D"0" type=3D"4"/> <p:font name=3D"Times New Roman" charset=3D"0" type=3D"6" family=3D"18"/> <p:font name=3D"Wingdings" charset=3D"2" type=3D"6" family=3D"2"/> <p:font name=3D"Arial Black" charset=3D"0" type=3D"6" family=3D"34"/> <p:font name=3D"Symbol" charset=3D"2" type=3D"6" family=3D"18"/> <p:font name=3D"cmsy10" charset=3D"0" type=3D"6" family=3D"34"/> <p:font name=3D"Tahoma" charset=3D"0" type=3D"6" family=3D"34"/> <p:headersfooters slidenumber=3D"t" formatid=3D"0" noheader=3D"t"/> <p:headersfooters notes=3D"t" slidenumber=3D"t" formatid=3D"0"/> <p:pptdocumentsettings framecolors=3D"WhiteTextOnBlack" hideslideanimatio=n=3D"t" browsersupport=3D"v4"/> </p:presentation> <o:shapedefaults v:ext=3D"edit" spidmax=3D"176136" style=3D'mso-wrap-style=:none'> <o:colormru v:ext=3D"edit" colors=3D"#e4e673,#e66cdc,#e62b35,#42a146,#c1d=1ff"/> </o:shapedefaults></xml>------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/editdata.msoContent-Transfer-Encoding: base64Content-Type: application/x-mso

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

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/slide0001.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"


<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0001.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Priority Queues"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><script src=3Dscript.js></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"2"/></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master04.xml"> <p:shaperange href=3D"master04.xml#_x0000_s106497"/><![if !ppt]><p:shapera=nge href=3D"master04.xml#_x0000_s106498"/><p:shaperange href=3D"master04.xml#_x0000_s106499"/> <div v:shape=3D"_x0000_s106499" class=3DO style=3D'text-align:right;mso-ch=ar-wrap: 1;mso-kinsoku-overflow:1;position:absolute;top:94.0%;left:72.65%;width:21.=53%; height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-fi=eld-code: meta16'>1</span><span style=3D'font-family:"Arial Black";font-size:50%; mso-special-format:lastCR;display:none'> </span></div> <p:shaperange href=3D"master04.xml#_x0000_s106500"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s106500,_x0000_s106501,_x0000_s106502,_x0000_s106503,_x=0000_s106504,_x0000_s106505,_x0000_s106506,_x0000_s106507,_x0000_s106508,_x=0000_s106509" src=3D"master04_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_s106512"/><![endif]><p:shaperange href=3D"master04.xml#_x0000_m106510"/><v:shape id=3D"_x0000_s2050" type==3D"#_x0000_m106510" style=3D'position:absolute;left:32pt;top:31pt;width:612pt;height:58pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master04.xml#_x0000_m106511"/><v:shape id=3D"_x0000_s2051" type==3D"#_x0000_m106511" style=3D'position:absolute;left:31pt;top:108pt;width:562pt;height:168.375=pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1" size=3D"half"/><p:tag name=3D="___PPT2001" type=3D"binary" datasize=3D"36" dataoffset=3D"13"/></v:shape> <div v:shape=3D"_x0000_s2050" class=3DT style=3D'position:absolute;top:7.2=5%; left:5.43%;width:83.14%;height:8.5%'><span lang=3DEN-US style=3D'mso-ansi-=language: EN-US'>Priority Queues</span></div> <div v:shape=3D"_x0000_s2051" class=3DHB> <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:20.5%;left:=5.24%; width:76.21%;height:5.25%'><span style=3D'position:absolute;top:0%;left:4.=91%; width:95.08%;height:100.0%'><span style=3D'font-size:86%'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-5.16%;top:.3em;font-family:Wingdings;font-size:75%'>¨</=span></span><span lang=3DEN-US style=3D'font-size:86%;mso-ansi-language:EN-US'>Scheduling example </span></span></div> <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:26.25%; left:5.24%;width:76.21%;height:5.25%'><span style=3D'position:absolute;

top:0%;left:4.91%;width:95.08%;height:100.0%'><span style=3D'font-size:86%='><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-5.16%;top:.3em;font-family:Wingdings;font-size:75%'>¨</=span></span><span lang=3DEN-US style=3D'font-size:86%;mso-ansi-language:EN-US'>The priority =queue ADT </span></span></div> <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:32.25%; left:5.24%;width:86.7%;height:5.25%'><span style=3D'position:absolute; top:0%;left:4.31%;width:95.68%;height:100.0%'><span style=3D'font-size:86%='><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-4.51%;top:.3em;font-family:Wingdings;font-size:75%'>¨</=span></span><span lang=3DEN-US style=3D'font-size:86%;mso-ansi-language:EN-US'>Implementing a priority queue with a sequence </span></span></div> <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:38.0%;left:=5.24%; width:76.21%;height:5.25%'><span style=3D'position:absolute;top:0%;left:4.=91%; width:95.08%;height:100.0%'><span style=3D'font-size:86%'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-5.16%;top:.3em;font-family:Wingdings;font-size:75%'>¨</=span></span><span lang=3DEN-US style=3D'font-size:86%;mso-ansi-language:EN-US'>Binary Heaps&=#13;</span></span></div> <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:44.0%;left:=5.24%; width:76.21%;height:5.25%'><span style=3D'position:absolute;top:0%;left:4.=91%; width:95.08%;height:100.0%'><span style=3D'font-size:86%'><span style=3D'mso-special-format:bullet;color:#9999CC;mso-color-index:5;positio=n: absolute;left:-5.16%;top:.3em;font-family:Wingdings;font-size:75%'>¨</=span></span><span lang=3DEN-US style=3D'font-size:86%;mso-ansi-language:EN-US'>Insertion in =a Heaps and Heapify</span></span></div> </div> <p:shaperange href=3D"master04.xml#_x0000_m106511"/><v:shape id=3D"_x0000_=s2053" type=3D"#_x0000_m106511" style=3D'position:absolute;left:237.75pt;top:292=pt; width:380.25pt;height:230.25pt' o:spt=3D"75" o:preferrelative=3D"t" o:use=rdrawn=3D"f" path=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" fillcolor=3D"#99f [4]" strok=ed=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:stroke joinstyle=3D"miter"/> <v:imagedata src=3D"slide0001_image002.wmz" o:althref=3D"slide0001_image0=03.pcz" o:title=3D""/> <v:shadow on=3D"f" color=3D"#00007d [2]"/> <v:formulas> <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/> <v:f eqn=3D"sum @0 1 0"/> <v:f eqn=3D"sum 0 0 @1"/> <v:f eqn=3D"prod @2 1 2"/> <v:f eqn=3D"prod @3 21600 pixelWidth"/>

<v:f eqn=3D"prod @3 21600 pixelHeight"/> <v:f eqn=3D"sum @0 0 1"/> <v:f eqn=3D"prod @6 1 2"/> <v:f eqn=3D"prod @7 21600 pixelWidth"/> <v:f eqn=3D"sum @8 21600 0"/> <v:f eqn=3D"prod @7 21600 pixelHeight"/> <v:f eqn=3D"sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" aspectratio=3D"t" text=3D"t"/> <p:placeholder type=3D"object" position=3D"2" size=3D"half"/><p:tag name=3D"___PPT2001" type=3D"binary" datasize=3D"36" dataoffset=3D"14"/><=/v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s2053" src=3D"slide0001_image004.gif" style=3D'position:absolute;top:54.0%;left:32.95%;width:52.8%;height:42.75%='><![endif]></p:slide></div>

</body>

</html>

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/master04_image001.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/slide0001_image002.wmzContent-Transfer-Encoding: base64Content-Type: image/x-wmz

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

IJry9rSKnYvXbfkRnwXEJmDmyK39neapcqwMxRK2oY9P7Z9Tqp/p/ddu00G1iqbCG515tZ+MBcDMiC9WfF6sAp20X8o5vFE/vO7PxUrYKS56leTYPUx2kWrGWlSqWsHhaxK4a2p0i08ay4Qt1w2+hcOvekM9U0Jxw86UufKgt+ZwYQwfdyvOcLhSltyVPZ5ZMrYOqW7G4c1jUNuaXD9qXXLofuX2ARctCmo/Te/LlBzCbnO3DZfgsH44blssHskJ1PQWU74LZX8sNgc6pw0q1NPMJMOAmVMiALal3EU53IjNvT/Sa1nfSyy93uDjTJfvkakEfmFZADCN07rreHPmpTzJjls3P1zvzyKaMK5Fed+ENIG1XkdQTQ+FaavOV14b/oOhYt61pVVVJ+151sfUN8xwuJL+namzsbVMEjhc1Ug6h2feZOitgMMXIfDaHvT5FBdQosPDVpt4ivPhM+WcxtXZkWTgcZ7JiEEFhg5LV8q3fT6otUjwiA4v5/D8cmnkSMQM9lvQtf44rDL7dqQzdHaPcFTAiEFYMlzFtISzyocThhMcHp7d0/yHfbNQBNVtPJpOt5RwZ3kvgefTesknv2QE5pvFi6llYhupqrEEh29BrffYwUw4J53XxDo1iItyLYEjv9cbgY7V1iBwV3nwwpTChw2kYh0uliotj7V3bKzZPGmE0Zf1ZXMyUTwZoFGlcKUR2BlLYq5ppnTtA8TA0l6KogZLbjIcfjmHV00xOHyZEdgfToWOXLkBvs9AgsO/1/PrO2DOvCydnAsSDuckiov98iDwQWPPKDboHXh6nmHMcnmAqNvADz+j1sRCeTquNmJv56W+f96zm/Cq2k+8hMPbQ2tczJbc/jMIL/38jpiFMjSZ8MFiYEjdwlhJk5Nn6lCbu9kmnRVqzk2obaYmtlEWxwyIxXp+1eQ7R2YPjwmZUfbF7Ey5q3B4wP2QbbrXptZ38xSzqppi+ZU39nzP3nyXBMLJp1MH3XZn0BocXQEOf/p6uy2HuzTYt+/4QrzVJpcwg8buYM6UOkpK0oJEbbi4XYN3L8PkPLzNTnmxNyvR1hUcvoJkVbdaLh8nZyfRhKrgxRw+6FZE6WL1KMnYs1B+tLJOOAl+d/UnXbOPRWEmw/cUzpXEVU4LIS9FuglDudRF2otPJT1dai8OlyOgXf3Jlaf/c7yUWJxe4Vqs4Jx0aXySMFNKmXk5fCPHW891XDyVPWTvOPzJHTm8ccZnPaelK0cX5PDW38G0b3XQ/9dpx/Yw751b0r0tSrOwdQL50J+2OHw7XwIO38r5sQo9XagDBUUUsE2kcii62E4a2jtWhbWPhyspUt4gZWbTnBHTf3Ffwuj7tp2WuLcO13LFX66axhMusuIAphTqBgatl7RvkFcwZ+N1NIEkSDXilqzMh3YAtYnGeIqXcjJu3Tkq4wah/6/sxOE32N+ftgvpbTY6a4GIH9tZk8OVB7rDoH0Eh2fO+8x5rKG/UplGGGsXrnyErdtq+J+R+Cz6f737OOy9BsX+Mt/fLs7Q8b274vZRi/K9OHzBENgnwlficFdsq57lcX3ALkvvOClsX9SzSZEyIjI9gnMfoZ1stXQ4vPtH9ZM7azDDY7GXDpcubGiO9FknKZOKC+5q1cG3dTLixLJ4CrHYn+78PQ2Kq8y+y2wuCwvE2aWqm0feUO5yGt/8LM+D/PCqxtnlK4vcoTKQheIOw1d2NrwuUP5HrcwxtgnQLdFd0jqXJXj4KQoCSTrOw+G1MviSX/fMssoa4HvV1dQJ6jkcbqcypp/vjL1L3fC5UB7sINGfmx9uygCpcH2GAydmoRRIpkUIvHkyGMPn3BNJZfadL7ZZxCYdoWAtVXLQS+AtVFbCVbu4Noh7trB/LVicrTVfgfESDkyU8RSnHhwe5HDhnihEbf9iYHWunaSKGAiSp9cOsks7Jn2YcMBFL7aVObw3YR17NxkON8Ved6ZntPrG1UjkSnrqj0JPsJZyL+fwyIGdqu6HMebUtXq5AIDDN6xM+3K19VR6AfcGRtc1raEXV2uV8AzN58woK46eVuQxHLIEqL2/aJVP5fBux/lxE9krmVyP3k5W9zZmXcMwf6IfbhKpj8ONt4qWX6iSZK/CPtHNeZCkRe1EvYnMecAyX8Tmj00pe50vLV5TyD+YJTjtwLK9ZGfOsXrPQ3U7SS2v0u+pw3saySGxRHHuEcCuODfbjUgk4daGFLxK10cKL3aZJXIEh2f0+StUDy1SXGKmRazX9lcs8cIG3JNXNLyUjD73MkYFh7tKMRdUI7Q5dtw/D+WNsNGsM1UgP8T1uCPt2odxePgz+q58nVPzK6T86db94KuFw0WjT9JdZylS0bB6bCUr18GQTIWrsOt4dEJQuVF5fnNz4FnjvDEc3n30aqTg7V+/Zr70JVcVKIA/5gofXj9cv9XZTsr+YWafj5MKEIXdj19+M3yQxJt4cP6e3qPfLgX7yjxu40N1t8+cO56uy6upGN/2PwI2J3K/sNTS9EVhg4pYTWoXOPODBMVYSfpr7iBJ5G6/vefZzdfLeozl8O6Wd0mlX+fl1VQb3qUUw7UXrM+dW+jw23D4OJZ2/WnV3gn89OgyKqWLPKptTs57xQM5PPx6bWWM17lVku7WNEw20roVRQ/g8BFeis7J4jt4CedVW1owl/4RvyQPSwQ+fjwrQ1wfw7raddygTgw4HK01+VAkxud59fjh39/q0mN3CgvlA/+rAoEJsYk0tM6fXckhSokhXeMndqygdrE7S8NenMN3WXR2xsa5haFZ2fVjvUz4SkcBSQ4Xd05dlmx41SiJoQI2RVU44FZok3ulDfDqhxN4k3tMQLlP5nBtJCsbbWeYqbTD3m8Vh48q4hdrIh86HV9+xL5mSQoFdIMu4NrJiGyGwwPM8ErAJUozFN1ylvuI/L3UitatABDjgZ7R6kguzbBN4hxNjet17UEeo07Lvu1Z78XhW4rwpmaMi6pVvHVVpzUDL1DavWX+aJDD34W0vvUfLmE3mcNbtLWcabu5o5tLqFI5cQCuXhRu76W0Ou+6qmB4oPa46wqTcb2qGJOHB4v6l7lTDUc072ttYK3FC4l9tGeyVF+eusvAS0k+8QkZ49mmD4MTSALuTffWvcr32rr9yw7/GSiMti2HX9+8byiH/3I6uyplDf2kFe8Ph6+5HOtp4YM0dn4wF68XJS0Xu/r5zGzXraRxzm2O4jJJRPOqzsaerxiI6RzuYvu5y/HlHH5Xyo0Ms16ahEs8e832yIcNtFYsnAITdrXkmmCRhnejOVyuvuIebEoxgdqnHGBvscZy7MVDn2Nbzue/rQ4X+yDrbb80erzsjulHwgNJzuF+4tPuhrPZ0+xLKm3g2wn6xFK0F87K0Rw+NJ5K3z28lLIw9lBXnz2vaSmv9gh0saVY+668jO16S9hlBdCUh1XO4WdBUMkORYYhR6hr13tOtozg8AmiVCe0ydF3YK+q6z/Hel5kfnpV5NXbsxhowRVqjBPSbrG0ySSHl2j4TTm8FW+Y4ocH50iM0JQiFRlF7TU0lBcEmrWFm00saBWWnKmfEG3J1+xKiA1Wrw2keo7mcH0xDe9+3oft7uuHZwhNaQzRPaTWPOX6/cdY3EfXlTCk1lq5dgCYU7W/JziHwz0VflzHxzqhiuvzVj3lEYJZf8/Rch0vZaYkc6UfuwLMcDue9Oly32gPRA2BPc0VHr0rA3/yxofwICobtgbCrkG3ZZDdMX8FgcP3jbtL7OVAovKza74N4vDXJb3gNRunpGFrsLuELnu2GBITnPP1OBw4+P/MIbE5nCJvox+Nq5rBhUwl57c3oYSyo4561+cR03SfyeELrGic06x5diIJUM9tSQ4fHukXXbZtBGU3Oq/tLjFhU9Ig8NjbhpY2vJRFF3cXCXBXp62wgvOwy9LjdVd0fV7cCTp/eHPQkcyzX4+9bXSNg8MBCLJi7TI92ksJ+d4ih0ciET2fNkCGIzhc377Pc7hnsOGHA3DNQjDTTwjp6kM7JdDiJK4zA2R4ZlPbBR/0RKlAcS39ytcIrtHhYCEPagF6LImXR8/ZWAsnt5LPy+lAvt+OHO4ZzHgp4P7iVj+vEbMpesS4oNZSpmc4jfw16KxNRorXvsx18CewbF1qfcDh4DICb0IPL/2ga+IvXn/kR2e5qM3SX7CSNeS7ZJhXzhkOX+b8Jn442MYnKanFlC/6l2m+uUguqFz32LXXabxDJY0f/igTW8V0tf4r+004dDi4TmYnSXs0h69godQVyNIzWGrW8YuEbsobuZpy4XCwEIE3oXJ7vsSiS7nJrfTWvaWtubr/hLMQC02eCw65V/2hARcMh4OdOLzJZZREys2YG/lm2VeF2/YJSrk8Y7LNa5+Zq8yNcaNxgphfjMMBGBr7Bydglbiq9YjmMLnzOPxmHJ7p+hc4KX9hizd0OFiKtOd0ii9fYnrydS0OD32WQLJK5z7YzJzhw9hmd6wmcywX3ZXujpcC9lLduxRgjOWKb9Gx6MRjMTY6FXPp9DB+ef5emMO9zyV8nkjhcGF0weFgAw7f1uqR6oovzuFHTKJWo9XVe/g4j+6PKWfBxLdyxQUxDtdWE/xwsBEfJqPOyLtVc/hr5UBD8cbFRaqWwwMPdxqHZ472ZyKjgaMAHQ5Gcnh4f6rUHjl4c2+e4ZrbW2cy8vyfCj/7tjhHlAHsPlnjrK6dt1O1wdod6ngpYAsOj1U+GSfh0qc51k0Ur1hb9WIp1omnEuvbTrMxlob3gff+z25sMm5FZk8TbMTb3UGb5PCiY5heP2dvAq/wUo6nf1XJKTvDpFsMRzyq3+1de1FUhR8OliCHfAaXSO+jOTzwW22HztTmFdpd28oEtpfDY88iMzAu3MFBh4Pd

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

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/slide0001_image003.pczContent-Transfer-Encoding: base64Content-Type: image/x-pcz

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

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/slide0001_image004.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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

------=_NextPart_01C52BA1.40FF0130

Content-Location: file:///C:/D0F41270/lec20_files/slide0123.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"


<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0123.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Scheduling"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><style></style><script src=3Dscript.js></script><script></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"161"/>

</o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"onkeypress=3D"_KPH()" oa:clockstart=3D"onstart">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master04.xml"> <p:shaperange href=3D"master04.xml#_x0000_s106497"/><![if !ppt]><p:shapera=nge href=3D"master04.xml#_x0000_s106498"/><p:shaperange href=3D"master04.xml#_x0000_s106499"/> <div v:shape=3D"_x0000_s106499" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>2<=/span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'> </span></div> </div> <p:shaperange href=3D"master04.xml#_x0000_s106500"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s106500,_x0000_s106501,_x0000_s106502,_x0000_s106503,_x=0000_s106504,_x0000_s106505,_x0000_s106506,_x0000_s106507,_x0000_s106508,_x=0000_s106509" src=3D"master04_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_s106512"/><![endif]><p:shaperange href=3D"master04.xml#_x0000_m106510"/><v:shape id=3D"_x0000_s164866" type==3D"#_x0000_m106510" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:61.125pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape> <div v:shape=3D"_x0000_s164866" class=3DT style=3D'position:absolute;top:8=.25%; left:5.99%;width:88.2%;height:8.5%'>Scheduling</div> <p:shaperange href=3D"master04.xml#_x0000_m106511"/><v:shape id=3D"_x0000_=s164867" type=3D"#_x0000_m106511" style=3D'position:absolute;left:36pt;top:111.375=pt; width:9in;height:392.875pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/><p:animation number=3D"2" de=lay=3D"0" type=3D"text" level=3D"1" effect=3D"cut" direction=3D"noBlack"/></v:shap=e> <div v:shape=3D"_x0000_s164867" class=3DB> <div id=3D"_x0000_s164867_0_90" style=3D'mso-line-spacing:"80 20 0";positi=on:absolute; top:20.75%;left:5.99%;width:101.87%;height:11.0%;white-space:nowrap'><span style=3D'position:absolute;top:0%;left:3.67%;width:96.32%;height:54.54%'><=span style=3D'font-size:88%'><span style=3D'mso-special-format:bullet;color:#99=99CC;

mso-color-index:5;position:absolute;left:-3.81%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span></span><span style=3D'font-size:88%'>In a multi=-user computer system, multiple users </span></span><span style=3D'position:abso=lute; top:43.18%;left:3.67%;width:82.9%;height:54.54%'><span style=3D'font-size:=88%'>submit jobs to run on a single processor. </span></span></div> <div id=3D"_x0000_s164867_90_215" style=3D'mso-line-spacing:"80 20 0";posi=tion: absolute;top:31.75%;left:5.99%;width:103.93%;height:16.0%;white-space:nowr=ap'><span style=3D'position:absolute;top:0%;left:3.6%;width:96.39%;height:37.5%'><sp=an style=3D'font-size:88%'><span style=3D'mso-special-format:bullet;color:#99=99CC; mso-color-index:5;position:absolute;left:-3.73%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span></span><span style=3D'font-size:88%'>We assume =that the time required by each job is </span></span><span style=3D'position:abs=olute; top:31.25%;left:3.6%;width:81.26%;height:37.5%'><span style=3D'font-size:8=8%'>known in advance. Further, jobs can be </span></span><span style=3D'position:abs=olute; top:62.5%;left:3.6%;width:81.26%;height:37.5%'><span style=3D'font-size:88=%'>preempted (stopped and resumed later) </span></span></div> <div id=3D"_x0000_s164867_215_313" style=3D'mso-line-spacing:"80 20 0";pos=ition: absolute;top:48.0%;left:5.99%;width:103.18%;height:16.0%;white-space:nowra=p'><span style=3D'position:absolute;top:0%;left:3.62%;width:96.37%;height:37.5%'><s=pan style=3D'font-size:88%'><span style=3D'mso-special-format:bullet;color:#99=99CC; mso-color-index:5;position:absolute;left:-3.76%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span></span><span style=3D'font-size:88%'>One policy= which minimizes the average waiting </span></span><span style=3D'position:absolu=te; top:31.25%;left:3.62%;width:89.83%;height:37.5%'><span style=3D'font-size:=88%'>time is SRPT (shortest remaining processing </span></span><span style=3D'positi=on: absolute;top:62.5%;left:3.62%;width:81.85%;height:37.5%'><span style=3D'font-size:88%'>time). </span></span></div> <div id=3D"_x0000_s164867_313_390" style=3D'mso-line-spacing:"80 20 0";pos=ition: absolute;top:64.25%;left:5.99%;width:88.95%;height:11.0%;white-space:nowra=p'><span style=3D'position:absolute;top:0%;left:4.21%;width:95.78%;height:54.54%'><=span style=3D'font-size:88%'><span style=3D'mso-special-format:bullet;color:#99=99CC; mso-color-index:5;position:absolute;left:-4.39%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span></span><span style=3D'font-size:88%'>The proces=sor schedules the job with the </span></span><span style=3D'position:absolute; top:45.45%;left:4.21%;width:94.94%;height:54.54%'><span style=3D'font-size=

:88%'>smallest remaining processing time. </span></span></div> <div id=3D"_x0000_s164867_390_530" style=3D'mso-line-spacing:"80 20 0";pos=ition: absolute;top:75.5%;left:5.99%;width:101.68%;height:16.0%;white-space:nowra=p'><span style=3D'position:absolute;top:0%;left:3.68%;width:92.44%;height:37.5%'><s=pan style=3D'font-size:88%'><span style=3D'mso-special-format:bullet;color:#99=99CC; mso-color-index:5;position:absolute;left:-3.98%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span></span><span style=3D'font-size:88%'>If while a= job is running a new job arrives with </span></span><span style=3D'position:ab=solute; top:29.68%;left:3.68%;width:96.31%;height:37.5%'><span style=3D'font-size:=88%'>processing time less than the remaining time of </span></span><span style=3D'position=:absolute; top:60.93%;left:3.68%;width:83.05%;height:37.5%'><span style=3D'font-size:=88%'>current job, the current job is preempted.</span></span></div> </div></p:slide></div>

<p:animation number=3D"1599560645"/><oa:par id=3D"TimeNode0" dur=3D"indefin=ite" restart=3D"never" p:nodeType=3D"timingRoot"> <oa:seq id=3D"TimeNode1" dur=3D"indefinite" prev=3D"document.onpptprev" next=3D"document.onpptnext" concurrent=3D"enabled" nextAction=3D"seek" p:nodeType=3D"mainSeq"> <oa:par id=3D"TimeNode2" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode3" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode4" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode5" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s164867_0_90" attributeName=3D"style.visibili=ty" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode6" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode7" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode8" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode9" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s164867_90_215" attributeName=3D"style.visibi=lity" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode10" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode11" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode12" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode13" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s164867_215_313" attributeName=3D"style.visib=

ility" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode14" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode15" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode16" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode17" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s164867_313_390" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode18" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode19" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode20" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode21" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s164867_390_530" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> </oa:par> </oa:par> </oa:seq></oa:par><![if ppt]><oa:buildParagraph targetElement=3D"_x0000_s164867" groupID=3D"0" build=3D"byParagraph" buildLevel=3D"1" reverse=3D"false" buildAdvance=3D"o=nclick" userSetAnimBgd=3D"false"/><![endif]></body>

</html>



<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0125.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Data Structure for SRPT"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0073.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Priority Queues"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint><title>Priority Queues</title>

<![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0098.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Priorities and Total Order R=elations"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><style></style><script src=3Dscript.js></script><script></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"136"/></o:shapelayout></head>


<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master04.xml"> <p:shaperange href=3D"master04.xml#_x0000_s106497"/><![if !ppt]><p:shapera=nge href=3D"master04.xml#_x0000_s106498"/><p:shaperange href=3D"master04.xml#_x0000_s106499"/> <div v:shape=3D"_x0000_s106499" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>5<=/span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'> </span></div> </div>

<p:shaperange href=3D"master04.xml#_x0000_s106500"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s106500,_x0000_s106501,_x0000_s106502,_x0000_s106503,_x=0000_s106504,_x0000_s106505,_x0000_s106506,_x0000_s106507,_x0000_s106508,_x=0000_s106509" src=3D"master04_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_s106512"/><![endif]><p:shaperange href=3D"master04.xml#_x0000_m106510"/><v:shape id=3D"_x0000_s139266" type==3D"#_x0000_m106510" style=3D'position:absolute;left:32pt;top:31.375pt;width:597.5pt;height:69=.375pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape> <div v:shape=3D"_x0000_s139266" class=3DT style=3D'position:absolute;top:8=.75%; left:5.43%;width:93.82%;height:7.75%'><span lang=3DEN-US style=3D'font-siz=e:90%; mso-ansi-language:EN-US'>Priorities and Total Order Relations</span></div> <p:shaperange href=3D"master04.xml#_x0000_m106511"/><v:shape id=3D"_x0000_=s139267" type=3D"#_x0000_m106511" style=3D'position:absolute;left:22.875pt;top:121=.75pt; width:668.5pt;height:307.125pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1" size=3D"half"/><p:animation n=umber=3D"2" delay=3D"0" type=3D"text" level=3D"2" effect=3D"dissolve"/><p:tag name==3D"___PPT2001" type=3D"binary" datasize=3D"36" dataoffset=3D"15"/></v:shape> <div v:shape=3D"_x0000_s139267"> <div id=3D"_x0000_s139267_0_49" class=3DHB style=3D'position:absolute;top:=23.5%; left:4.11%;width:102.05%;height:6.0%;white-space:nowrap'><span style=3D'position:absolute;top:0%;left:3.66%;width:96.33%;height:100.0%'><=span class=3DHBB style=3D'position:absolute;left:-3.8%;top:.3em'>¨</span><s=pan lang=3DEN-US style=3D'mso-ansi-language:EN-US'>A </span><span lang=3DEN-US style=3D'color:#9999CC;mso-color-index:5;mso-ansi-language:EN-US'>Priority= Queue</span><span lang=3DEN-US style=3D'mso-ansi-language:EN-US'> ranks its elements by </sp=an><span lang=3DEN-US style=3D'mso-ansi-language:EN-US'><b>priority.</b></span><span lang=3DEN-US style=3D'mso-ansi-language:EN-US;display:none'> </span></=span></div> <div id=3D"_x0000_s139267_49_142" class=3DHB style=3D'position:absolute;to=p:31.0%; left:4.11%;width:98.5%;height:12.25%;white-space:nowrap'><span style=3D'position:absolute;top:0%;left:3.8%;width:96.19%;height:48.97%'><s=pan class=3DHBB style=3D'position:absolute;left:-3.95%;top:.3em'>¨</span><=span lang=3DEN-US style=3D'mso-ansi-language:EN-US'>Every element has a priorit=y. Priorities are not </span></span><span style=3D'position:absolute;top:51.0=2%; left:3.8%;width:89.73%;height:48.97%'><span lang=3DEN-US style=3D'mso-ansi=-language:

EN-US'>necessarily unique and are totally ordered. </span></span></div> <div id=3D"_x0000_s139267_142_177" class=3DHB style=3D'position:absolute;t=op:44.25%; left:4.11%;width:91.01%;height:6.5%;white-space:nowrap'><span style=3D'position:absolute;top:0%;left:4.11%;width:95.88%;height:100.0%'><=span class=3DHBB style=3D'position:absolute;left:-4.29%;top:.3em'>¨</span><=span lang=3DEN-US style=3D'mso-ansi-language:EN-US'>Total Order Relation, denot=ed by </span><span lang=3DEN-US style=3D'font-family:Symbol;color:#E62B35;mso-ansi-language:E=N-US; mso-char-type:symbol'><b>£</b></span><span lang=3DEN-US style=3D'mso=-ansi-language: EN-US;display:none'> </span></span></div> <div id=3D"_x0000_s139267_177_194" class=3DHB1 style=3D'position:absolute; top:51.75%;left:9.17%;width:85.95%;height:6.5%;white-space:nowrap'><span style=3D'mso-special-format:nobullet;display:none;color:#9999CC;mso-color-=index: 5;font-family:Wingdings;font-size:75%'>¨</span><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'><b>Reflexive</b></span><s=pan lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'>: k </span><=span lang=3DEN-US style=3D'font-family:Symbol;font-size:117%;color:#E62B35;mso-=ansi-language: EN-US;mso-char-type:symbol'><b>£</b></span><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'> k </span></div> <div id=3D"_x0000_s139267_194_245" class=3DHB1 style=3D'position:absolute; top:59.25%;left:9.17%;width:103.18%;height:6.5%;white-space:nowrap'><span style=3D'mso-special-format:nobullet;display:none;color:#9999CC;mso-color-=index: 5;font-family:Wingdings;font-size:75%'>¨</span><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'><b>Antisymetric</b></span=><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'>: if k1 </sp=an><span lang=3DEN-US style=3D'font-family:Symbol;font-size:117%;color:#E62B35;mso-=ansi-language: EN-US;mso-char-type:symbol'><b>£</b></span><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'> k2 and k2 </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:117%;color:#E62B35;mso-=ansi-language: EN-US;mso-char-type:symbol'><b>£</b></span><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'> k1, then k1 </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:117%;color:#E62B35;mso-=ansi-language: EN-US;mso-char-type:symbol'><b>£</b></span><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'> k2 </span></div> <div id=3D"_x0000_s139267_245_294" class=3DHB1 style=3D'position:absolute; top:66.75%;left:9.17%;width:97.0%;height:6.5%;white-space:nowrap'><span style=3D'mso-special-format:nobullet;display:none;color:#9999CC;mso-color-=index: 5;font-family:Wingdings;font-size:75%'>¨</span><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'><b>Transitive</b></span><=span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'>: if k1 </sp=an><span lang=3DEN-US style=3D'font-family:Symbol;font-size:117%;color:#E62B35;mso-=ansi-language: EN-US;mso-char-type:symbol'><b>£</b></span><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'> k2 and k2 </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:117%;color:#E62B35;mso-=ansi-language:

EN-US;mso-char-type:symbol'><b>£</b></span><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'> k3, then k1 </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:117%;color:#E62B35;mso-=ansi-language: EN-US;mso-char-type:symbol'><b>£</b></span><span lang=3DEN-US style=3D'font-size:117%;mso-ansi-language:EN-US'> k3</span></div> </div></p:slide></div>

<p:animation number=3D"-8626322"/><oa:par id=3D"TimeNode0" dur=3D"indefinit=e" restart=3D"never" p:nodeType=3D"timingRoot"> <oa:seq id=3D"TimeNode1" dur=3D"indefinite" prev=3D"document.onpptprev" next=3D"document.onpptnext" concurrent=3D"enabled" nextAction=3D"seek" p:nodeType=3D"mainSeq"> <oa:par id=3D"TimeNode2" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode3" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode4" o:presetID=3D"ppt_9" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode5" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s139267_0_49" attributeName=3D"style.visibili=ty" to=3D"visible"/> <oa:animateFilter id=3D"TimeNode6" dur=3D"0.5" targetElement=3D"_x0000_s139267_0_49" transition=3D"in" filter=3D"dis=solve"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode7" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode8" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode9" o:presetID=3D"ppt_9" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode10" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s139267_49_142" attributeName=3D"style.visibi=lity" to=3D"visible"/> <oa:animateFilter id=3D"TimeNode11" dur=3D"0.5" targetElement=3D"_x0000_s139267_49_142" transition=3D"in" filter=3D"d=issolve"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode12" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode13" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode14" o:presetID=3D"ppt_9" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode15" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s139267_142_177" attributeName=3D"style.visib=ility" to=3D"visible"/> <oa:animateFilter id=3D"TimeNode16" dur=3D"0.5" targetElement=3D"_x0000_s139267_142_177" transition=3D"in" filter=3D"=dissolve"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode17" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode18" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode19" o:presetID=3D"ppt_9" o:presetClass=3D"entranc=

e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode20" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s139267_177_194" attributeName=3D"style.visib=ility" to=3D"visible"/> <oa:animateFilter id=3D"TimeNode21" dur=3D"0.5" targetElement=3D"_x0000_s139267_177_194" transition=3D"in" filter=3D"=dissolve"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode22" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode23" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode24" o:presetID=3D"ppt_9" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode25" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s139267_194_245" attributeName=3D"style.visib=ility" to=3D"visible"/> <oa:animateFilter id=3D"TimeNode26" dur=3D"0.5" targetElement=3D"_x0000_s139267_194_245" transition=3D"in" filter=3D"=dissolve"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode27" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode28" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode29" o:presetID=3D"ppt_9" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode30" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s139267_245_294" attributeName=3D"style.visib=ility" to=3D"visible"/> <oa:animateFilter id=3D"TimeNode31" dur=3D"0.5" targetElement=3D"_x0000_s139267_245_294" transition=3D"in" filter=3D"=dissolve"/> </oa:par> </oa:par> </oa:par> </oa:seq></oa:par><![if ppt]><oa:buildParagraph targetElement=3D"_x0000_s139267" groupID=3D"0" build=3D"byParagraph" buildLevel=3D"2" reverse=3D"false" buildAdvance=3D"o=nclick" userSetAnimBgd=3D"true"/><![endif]></body>

</html>


<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"

xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0101.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Comparators"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><style></style><script src=3Dscript.js></script><script></script><script><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0102.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Implem. with Unsorted Sequen=ce"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><style></style><script src=3Dscript.js></script><script></script><script><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0103.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Unsorted Sequence (contd.)"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><style></style><script src=3Dscript.js></script><script></script><script><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0104.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Implem. with Sorted Sequence="><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><style></style><script src=3Dscript.js></script><script></script><script><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0074.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Priority Queues"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint>

<title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0075.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: (Binary) Heaps"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0118.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Examples of non-Heaps"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><script src=3Dscript.js></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"156"/> <o:regrouptable v:ext=3D"edit"> <o:entry new=3D"1" old=3D"0"/> </o:regrouptable></o:shapelayout></head>


<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master04.xml"> <p:shaperange href=3D"master04.xml#_x0000_s106497"/><![if !ppt]><p:shapera=nge href=3D"master04.xml#_x0000_s106498"/><p:shaperange href=3D"master04.xml#_x0000_s106499"/> <div v:shape=3D"_x0000_s106499" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>12=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'> </span></div> </div> <p:shaperange href=3D"master04.xml#_x0000_s106500"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s106500,_x0000_s106501,_x0000_s106502,_x0000_s106503,_x=0000_s106504,_x0000_s106505,_x0000_s106506,_x0000_s106507,_x0000_s106508,_x=0000_s106509" src=3D"master04_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_s106512"/><![endif]><p:shaperange href=3D"master04.xml#_x0000_m106510"/><v:shape id=3D"_x0000_s159746" type==3D"#_x0000_m106510" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:66.875pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/>

<v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master04.xml#_x0000_m106511"/><v:shape id=3D"_x0000_s159747" type==3D"#_x0000_m106511" style=3D'position:absolute;left:29.125pt;top:114.875pt;width:402.25pt;hei=ght:98pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape><v:line id=3D"_x00=00_s159857" style=3D'position:absolute;flip:x;v-text-anchor:middle' from=3D"257pt,220=.875pt" to=3D"350pt,288.375pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s159858" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"356.25pt,220.875pt" to=3D"467.875pt,288.375pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s159857,_x0000_s15=9858" src=3D"slide0118_image018.gif" style=3D'position:absolute;top:40.75%;left:=35.58%; width:29.77%;height:13.0%'><![endif]> <div v:shape=3D"_x0000_s159746" class=3DT style=3D'position:absolute;top:9=.0%; left:5.99%;width:88.2%;height:8.5%'>Examples of non-Heaps</div> <div v:shape=3D"_x0000_s159747" class=3DB style=3D'position:absolute;top:2=2.25%; left:5.05%;width:57.49%;height:6.75%'><span style=3D'position:absolute; top:0%;left:6.51%;width:93.48%;height:100.0%'><span class=3DBB style=3D'po=sition: absolute;left:-6.96%;top:.3em'>¨</span>Heap property violated</span></=div> <v:line id=3D"_x0000_s159859" style=3D'position:absolute;v-text-anchor:mid=dle' from=3D"474.125pt,288.375pt" to=3D"536.25pt,376.125pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s159859" src=3D"slide0118_image019.gif" style=3D'position:absolute;top:53.25%;left:=65.73%; width:8.98%;height:16.75%'><![endif]><v:line id=3D"_x0000_s159860" style==3D'position:absolute; flip:x;v-text-anchor:middle' from=3D"195pt,288.375pt" to=3D"250.875pt,376=.125pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s159861" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"257pt,288.375pt" to=3D"306.5pt,376.125pt" o:regroupid=3D"1" strok=ecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s159862" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"201.25pt,383pt" to=3D"226pt,450.5pt" o:regroupid=3D"1" strokecolo=r=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s159863" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"312.875pt,383pt" to=3D"337.5pt,450.5pt" o:regroupid=3D"1" strokec=

olor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s159864" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"387.25pt,389.75pt" to=3D"412.125pt,457.375p=t" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s159865" style=3D'position:absolute;left:374=.875pt; top:437pt;width:31.125pt;height:33.875pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s159866" style=3D'position:absolute;left:319=pt; top:437pt;width:31.125pt;height:33.875pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:line id=3D"_x0000_s159867" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"281.875pt,383pt" to=3D"306.75pt,450.5pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s159868" style=3D'position:absolute;left:207=.375pt; top:437pt;width:31pt;height:33.875pt;mso-wrap-style:none;v-text-anchor:mi=ddle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s159869" style=3D'position:absolute;left:266=.25pt; top:437pt;width:31.125pt;height:33.875pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:line id=3D"_x0000_s159870" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"170.125pt,383pt" to=3D"195pt,450.5pt" o:reg=roupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s159871" style=3D'position:absolute;left:151=.5pt; top:437pt;width:31.125pt;height:33.875pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s159872" style=3D'position:absolute;left:517=.625pt; top:362.625pt;width:31.125pt;height:34pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:line id=3D"_x0000_s159873" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"418.25pt,288.375pt" to=3D"480.25pt,376.125p=t" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s159874" style=3D'position:absolute;left:399=.5pt; top:362.625pt;width:31.125pt;height:34pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s159875" style=3D'position:absolute;left:294=

.25pt; top:362.625pt;width:31.25pt;height:34pt;mso-wrap-style:none;v-text-anchor=:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s159876" style=3D'position:absolute;left:182=.5pt; top:362.625pt;width:31.125pt;height:34pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"#e66cdc" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s159877" style=3D'position:absolute;left:238=.375pt; top:274.625pt;width:31pt;height:33.875pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"#cccce6 [7]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s159878" style=3D'position:absolute;left:461=.625pt; top:274.625pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s159879" style=3D'position:absolute;left:337=.5pt; top:200.5pt;width:31.25pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:shapetype id=3D"_x0000_t202" coordsize=3D"21600,21600" o:spt==3D"202" path=3D"m,l,21600r21600,l21600,xe"> <v:stroke joinstyle=3D"miter"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> </v:shapetype><v:shape id=3D"_x0000_s159880" type=3D"#_x0000_t202" style==3D'position:absolute; left:333pt;top:202.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159881" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:179pt;top:361.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159882" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:394pt;top:363.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159883" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:292pt;top:361.5pt;width:38.5pt;height:36pt;mso-wrap-style:none;

v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159884" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:234pt;top:272.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159885" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:457pt;top:274.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159886" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:204pt;top:435.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159887" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:263pt;top:436.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159888" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:316pt;top:436.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159889" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:371pt;top:435.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159890" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:147pt;top:436.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=

99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s159891" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:514pt;top:361.5pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s159860,_x0000_s159861,_x0000_s159862,_x0000_s159863,_x=0000_s159864,_x0000_s159865,_x0000_s159866,_x0000_s159867,_x0000_s159868,_x=0000_s159869,_x0000_s159870,_x0000_s159871,_x0000_s159872,_x0000_s159873,_x=0000_s159874,_x0000_s159875,_x0000_s159876,_x0000_s159877,_x0000_s159878,_x=0000_s159879" src=3D"slide0118_image020.gif" style=3D'position:absolute;top:37.0%;left:2=0.97%; width:55.61%;height:50.75%'><![endif]> <div v:shape=3D"_x0000_s159879" class=3DO style=3D'text-align:center;mso-c=har-wrap: 1;mso-kinsoku-overflow:1'><span style=3D'position:absolute;top:36.0%;left:=48.31%; width:1.68%;height:9.25%'><span style=3D'font-family:Arial;mso-ascii-font-=family: Arial;mso-bidi-font-family:Arial;font-size:183%;color:#BF0F18;mso-special-=format: lastCR;display:none'><b><i> </i></b></span></span></div> <div v:shape=3D"_x0000_s159880" class=3DO style=3D'position:absolute;top:3=8.5%; left:47.19%;width:4.11%;height:5.25%'>11</div> <div v:shape=3D"_x0000_s159881" class=3DO style=3D'position:absolute;top:6=8.0%; left:25.84%;width:4.11%;height:5.25%'>18</div> <div v:shape=3D"_x0000_s159882" class=3DO style=3D'position:absolute;top:6=8.25%; left:55.8%;width:4.11%;height:5.25%'>19</div> <div v:shape=3D"_x0000_s159883" class=3DO style=3D'position:absolute;top:6=8.0%; left:41.57%;width:4.11%;height:5.25%'>21</div> <div v:shape=3D"_x0000_s159884" class=3DO style=3D'position:absolute;top:5=1.5%; left:33.52%;width:4.11%;height:5.25%'>19</div> <div v:shape=3D"_x0000_s159885" class=3DO style=3D'position:absolute;top:5=1.75%; left:64.41%;width:4.11%;height:5.25%'>13</div> <div v:shape=3D"_x0000_s159886" class=3DO style=3D'position:absolute;top:8=1.75%; left:29.4%;width:4.11%;height:5.25%'>23</div> <div v:shape=3D"_x0000_s159887" class=3DO style=3D'position:absolute;top:8=1.75%; left:37.45%;width:4.11%;height:5.25%'>26</div> <div v:shape=3D"_x0000_s159888" class=3DO style=3D'position:absolute;top:8=1.75%; left:44.94%;width:4.11%;height:5.25%'>29</div> <div v:shape=3D"_x0000_s159889" class=3DO style=3D'position:absolute;top:8=1.75%; left:52.62%;width:4.11%;height:5.25%'>31</div> <div v:shape=3D"_x0000_s159890" class=3DO style=3D'position:absolute;top:8=1.75%;

left:21.34%;width:4.11%;height:5.25%'>43</div> <div v:shape=3D"_x0000_s159891" class=3DO style=3D'position:absolute;top:6=8.0%; left:72.47%;width:4.11%;height:5.25%'>17</div></p:slide></div>

</body>

</html>


R0lGODlhnwA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACdADMAgAAAAL8PGALphI+py+1/ApKw2ouz3jzR+XXiSJamEYTeybauqy7pS9f2Ezfzzffsjsn5hkRcB1hMKlHCYHMJhf2i1NqTg6xqj1dRdwuW8bLhsthHNpfTt69a6X6x3/C41U6Xh/H5E3/814cV2DMnaEJIlHios6joyBgRCTLpVbly6ZTpAanWuWWY+bm3qRBaCnDaN0qnauaKOlHJyghLRTtpm6Qbq/OGW8rb1isHnCFMbGGsnNy23Nhc+IwZjWZd/WiDjD2y7TDN/f0DHv4NSV4OsYierv7n3V4cFP/LTP/7BH8PeLYvGKLP35AZ7AQiKgAAOw==


R0lGODlhMABDAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAvAEIAgAAAAL8PGAJ1DI6py+1nnpwz0ouRzVzuDi5fSI5kaJ5dqmJse71wNZc1KN9Nrot9xvtphC5izEhDepRL5s7pCBKlP2oV+sT6tAlrz6sD18RjroI8Q7fUa3PXDYHH5WxV3UaXA+4oPb8P94fjRxhYaIiY6Ca4kueoyMXIEVAAADs=


R0lGODlhKQHLAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAnAckAggAAAAAAAL8PGMzM5uZs3P///wECAwECAwP/CLrc/jDKSau9eIbNs/9gKI5kaZ5othVsu6VwLM90bY9rq7Pv7f/AoFAY2Bldw6RyyWw2isdowEmtWq8haPQ4xXq/4Kt2a+yGz+g0bUwuq9/w+Ifd1pnl+HyeXkfq/4BpfH08gYaHVoOEd4iNjj+KfYyPlJUpkXWTlpucc4RSnaGiGJhtmqOoqaVbp6muoqtcr7OusW60uKG2drm9nbuFvsKVu63Dx3+xxsjMeJg9zdGGHGXL0tdxHB3Y3N3e3+Dh4uPk5ebn6Onq6+zt7u/w8fLz9PX29/j5+vv8/f7/AAMKHEiwoMGDCBMqXMiwocOHECNKnEixosWLGDMi0rat/yFHa902DBhJcgC0g9R2nAwnsqRLkwifgUQW4KVNmAWVgat50+ZMe8W+8ez58uc8YAWM0hpKtGhApEpnMW1aMqo7pMGkTaVK0mo7rEmxbeU60qs6sGG1kr1pNh3atM3Grm2L7i3dTXLJ3jVnV+1ap/36RsvLdW85wXH/AuaHOLHirv7QGrZEuOlkcmAvU6rcU/O4zNw4+3z6yU9oxZ4xl84q9m/qw6VfPxIAQDRM2gN1dsNdu3IX3gJlfgPeu+hJ4v5op7QjmxJyBR8fPN9HPDq46Rew39M+jnsF7/PADy8hHl55b+clpF+3Hlt7CO/RxW82X7q++szwN9B/vR3//f/b+TfDf+4JKAOB0iDYi4IAysMgLg8yEKEwE75SoQIX0pIhKhtu6IqHo3gIYogG/jBiJydycmKKlrC4SYouOhJjJSzOiIiNMi6BIyA7NhJjj3kAeYiNQsZRJI9OHKmGkn/syGQYTwZpRZRYUIkHkFZO6U6RWSa5pRddMhHmG0qOmYSZaDCJZhBrQnlGmzfACQaVctJQZ5Vp3BmDnloumd87XfJpgqBVjEnoCId6CUeiIDAq5pW+OKqjHpJaUOkN0bVZHUeBWCfhRtpAEgABpJa6kpHQ0XGqGjkwt8Cdy/Gw6gkblGqrqc3Z2SoXuV4SyQawmiLDqLcWS2qvMeiGhrL/eqziGbHGGossCkGdUe0en1wGbbTFTmsCMN6CAG6zq022Lbe3hovDanB5AZUz7LabBbroqituvPJWAVo28e51Lr222utJv1/s+4ZkOADMrcAq4JuvEwjDEfG8CkfL8AWNUZGxtQ7T9W/Fx3LcMRYbhzGxuCBLKzK+F0dQcsEOP0xKyt2uTLAYMbfc8MgifAyyzhS8vITQ7vJMMc2m2swu0A4QTbLRKCMdstKxFc0yv1cnLDXTGkCdSNYHez2H1ARw3fXNT6PNKtg9b7320mBgZTYpardN89xnVx033PDq/W3KeAft997Zkjt4CT7XLAezJi8CiC2pJZ40tsKGXfnj/8IN6/OsBw/CedyeB94zH5+T11umTaaKuhwCfFR6s54OSIGmE6B56aO1Uzo76w5+J+Xui4ZnKaS+kyl88agin2fv2SWv/JvHDx9888szL72fGFh5+6QZBNp99fGs5/330If/QZbtRbm9Eu9pf3755r+fZqNuxi9//ffjaX3+YIpQZvT80x/9+me/EKgJUQQs4AATaEABAsp0DGxgnxQowSvoR0jrO9OgIlhBRZnnBFwCYaEASAIMipAKGRwCgUx4wiakkE0w6BGCcPRCGKZAhjF0IQkhqMMcco+CG+zhDXEHRB7+cIjsW0eoMDQDTvmAIxFy4hq0UUMYxIoDCopVUv+ao8XXqWBXW9ScSrw4mF9piwxkJIUZv4VGbf3qM45DnCSoFccsOIuNmWDJ4QY2RzkW7l5/7FkgQ1Oude2Rj31EZCIVmceQ8I2RjRRkIT3wLkBO8hoG29klIbnICmSSbo/UCtswNkpNbtKTpURlKodxMlKuUpWhhGUsZXlKmuSMkmKzgNMYsMum5ZKVtwTlK/NWNwn08gm/FMYxF7BMZCbTl8+EQDNVEUxXDtOY

1RRcNB8wTVRMs5vQySYxZ6nNYh7jm+K0pjmlmc5ykhOY12RnPOU5T2ZuE5rrhOc7x3lIXdbTnvnE5j+lMlCA7pOWg0RoHU2Z0LgElJ+dxGUtFRpbSYYuVJQT9WdGhdlQiqJRkh0dTD/VWVGQRpSkl7PkRcWyUk5Wg1Yt5ehHSQA5cZTCXM+wYklVCopvZc6mobMi6V4DRhfgVArPGmpdXDdFKTaRqUKNXVSXCI4EAAA7



<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0119.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Example of non-heap"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><script src=3Dscript.js></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"157"/> <o:regrouptable v:ext=3D"edit"> <o:entry new=3D"1" old=3D"0"/> </o:regrouptable></o:shapelayout></head>


<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=

0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master04.xml"> <p:shaperange href=3D"master04.xml#_x0000_s106497"/><![if !ppt]><p:shapera=nge href=3D"master04.xml#_x0000_s106498"/><p:shaperange href=3D"master04.xml#_x0000_s106499"/> <div v:shape=3D"_x0000_s106499" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>13=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'> </span></div> </div> <p:shaperange href=3D"master04.xml#_x0000_s106500"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s106500,_x0000_s106501,_x0000_s106502,_x0000_s106503,_x=0000_s106504,_x0000_s106505,_x0000_s106506,_x0000_s106507,_x0000_s106508,_x=0000_s106509" src=3D"master04_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_s106512"/><![endif]><p:shaperange href=3D"master04.xml#_x0000_m106510"/><v:shape id=3D"_x0000_s160770" type==3D"#_x0000_m106510" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:64.5pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master04.xml#_x0000_m106511"/><v:shape id=3D"_x0000_s160771" type==3D"#_x0000_m106511" style=3D'position:absolute;left:36pt;top:156pt;width:381.75pt;height:63.7=5pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape><v:line id=3D"_x00=00_s160773" style=3D'position:absolute;flip:x;v-text-anchor:middle' from=3D"386.125pt=,241.375pt" to=3D"479.125pt,308.875pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s160774" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"485.375pt,241.375pt" to=3D"597pt,308.875pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s160773,_x0000_s16=0774" src=3D"slide0119_image021.gif" style=3D'position:absolute;top:44.75%;left:=53.55%; width:29.77%;height:13.0%'><![endif]> <div v:shape=3D"_x0000_s160770" class=3DT style=3D'position:absolute;top:8=.75%; left:5.99%;width:88.2%;height:8.5%'>Example of non-heap</div> <div v:shape=3D"_x0000_s160771" class=3DB style=3D'position:absolute;top:3=0.0%; left:5.99%;width:56.55%;height:6.75%'><span style=3D'position:absolute; top:0%;left:6.62%;width:93.37%;height:100.0%'><span class=3DBB style=3D'po=sition:

absolute;left:-7.09%;top:.3em'>¨</span>Last level not left-filled</spa=n></div> <v:line id=3D"_x0000_s160775" style=3D'position:absolute;v-text-anchor:mid=dle' from=3D"603.25pt,308.875pt" to=3D"665.375pt,396.625pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s160775" src=3D"slide0119_image022.gif" style=3D'position:absolute;top:57.25%;left:=83.7%; width:8.98%;height:16.75%'><![endif]><v:line id=3D"_x0000_s160776" style==3D'position:absolute; flip:x;v-text-anchor:middle' from=3D"324.125pt,308.875pt" to=3D"380pt,396=.625pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s160777" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"386.125pt,308.875pt" to=3D"435.625pt,396.625pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s160778" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"330.375pt,403.5pt" to=3D"355.125pt,471pt" o:regroupid=3D"1" strok=ecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s160779" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"442pt,403.5pt" to=3D"466.625pt,471pt" o:regroupid=3D"1" strokecol=or=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s160780" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"516.375pt,410.25pt" to=3D"541.25pt,477.875p=t" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s160781" style=3D'position:absolute;left:7in=;top:457.5pt; width:31.125pt;height:33.875pt;mso-wrap-style:none;v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s160782" style=3D'position:absolute;left:448=.125pt; top:457.5pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:line id=3D"_x0000_s160783" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"411pt,403.5pt" to=3D"435.875pt,471pt" o:reg=roupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s160784" style=3D'position:absolute;left:336=.5pt; top:457.5pt;width:31pt;height:33.875pt;mso-wrap-style:none;v-text-anchor:=middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s160785" style=3D'position:absolute;left:395=.375pt; top:457.5pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/>

</v:oval><v:line id=3D"_x0000_s160786" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"299.25pt,403.5pt" to=3D"324.125pt,471pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s160787" style=3D'position:absolute;left:280=.625pt; top:457.5pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s160788" style=3D'position:absolute;left:646=.75pt; top:383.125pt;width:31.125pt;height:34pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:line id=3D"_x0000_s160789" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"547.375pt,308.875pt" to=3D"609.375pt,396.62=5pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s160790" style=3D'position:absolute;left:528=.625pt; top:383.125pt;width:31.125pt;height:34pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s160791" style=3D'position:absolute;left:423=.375pt; top:383.125pt;width:31.25pt;height:34pt;mso-wrap-style:none;v-text-anchor=:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s160792" style=3D'position:absolute;left:311=.625pt; top:383.125pt;width:31.125pt;height:34pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s160793" style=3D'position:absolute;left:367=.5pt; top:295.125pt;width:31pt;height:33.875pt;mso-wrap-style:none;v-text-ancho=r:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s160794" style=3D'position:absolute;left:590=.75pt; top:295.125pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s160795" style=3D'position:absolute;left:466=.625pt; top:221pt;width:31.25pt;height:33.875pt;mso-wrap-style:none;v-text-anchor=:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:shapetype id=3D"_x0000_t202" coordsize=3D"21600,21600" o:spt==3D"202" path=3D"m,l,21600r21600,l21600,xe"> <v:stroke joinstyle=3D"miter"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> </v:shapetype><v:shape id=3D"_x0000_s160796" type=3D"#_x0000_t202" style==3D'position:absolute;

left:462.125pt;top:223pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s160797" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:308.125pt;top:382pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s160798" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:523.125pt;top:384pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s160799" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:421.125pt;top:382pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s160800" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:363.125pt;top:293pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s160801" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:586.125pt;top:295pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s160803" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:392.125pt;top:457pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s160804" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:445.125pt;top:457pt;width:38.5pt;height:36pt;mso-wrap-style:none;

v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s160805" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:500.125pt;top:456pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s160806" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:276.125pt;top:457pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s160807" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:643.125pt;top:382pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s160776,_x0000_s160777,_x0000_s160778,_x0000_s160779,_x=0000_s160780,_x0000_s160781,_x0000_s160782,_x0000_s160783,_x0000_s160784,_x=0000_s160785,_x0000_s160786,_x0000_s160787,_x0000_s160788,_x0000_s160789,_x=0000_s160790,_x0000_s160791,_x0000_s160792,_x0000_s160793,_x0000_s160794,_x=0000_s160795" src=3D"slide0119_image023.gif" style=3D'position:absolute;top:40.75%;left:=38.95%; width:55.61%;height:50.75%'><![endif]> <div v:shape=3D"_x0000_s160795" class=3DO style=3D'text-align:center;mso-c=har-wrap: 1;mso-kinsoku-overflow:1'><span style=3D'position:absolute;top:39.75%; left:66.1%;width:1.68%;height:9.25%'><span style=3D'font-family:Arial; mso-ascii-font-family:Arial;mso-bidi-font-family:Arial;font-size:183%; color:#BF0F18;mso-special-format:lastCR;display:none'><b><i> </i></b><=/span></span></div> <div v:shape=3D"_x0000_s160796" class=3DO style=3D'position:absolute;top:4=2.25%; left:65.16%;width:4.11%;height:5.25%'>11</div> <div v:shape=3D"_x0000_s160797" class=3DO style=3D'position:absolute;top:7=1.75%; left:43.82%;width:4.11%;height:5.25%'>18</div> <div v:shape=3D"_x0000_s160798" class=3DO style=3D'position:absolute;top:7=2.0%; left:73.59%;width:4.11%;height:5.25%'>19</div> <div v:shape=3D"_x0000_s160799" class=3DO style=3D'position:absolute;top:7=1.75%; left:59.55%;width:4.11%;height:5.25%'>21</div> <div v:shape=3D"_x0000_s160800" class=3DO style=3D'position:absolute;top:5=5.25%; left:51.49%;width:4.11%;height:5.25%'>17</div>

<div v:shape=3D"_x0000_s160801" class=3DO style=3D'position:absolute;top:5=5.75%; left:82.39%;width:4.11%;height:5.25%'>13</div> <div v:shape=3D"_x0000_s160803" class=3DO style=3D'position:absolute;top:8=5.75%; left:55.43%;width:4.11%;height:5.25%'>26</div> <div v:shape=3D"_x0000_s160804" class=3DO style=3D'position:absolute;top:8=5.75%; left:62.92%;width:4.11%;height:5.25%'>29</div> <div v:shape=3D"_x0000_s160805" class=3DO style=3D'position:absolute;top:8=5.5%; left:70.41%;width:4.11%;height:5.25%'>31</div> <div v:shape=3D"_x0000_s160806" class=3DO style=3D'position:absolute;top:8=5.75%; left:39.32%;width:4.11%;height:5.25%'>43</div> <div v:shape=3D"_x0000_s160807" class=3DO style=3D'position:absolute;top:7=1.75%; left:90.26%;width:4.11%;height:5.25%'>17</div></p:slide></div>

</body>

</html>


R0lGODlhnwA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACdADIAgAAAAL8PGALqhI+py+1vQgoS2ouz3rzHqlDeSJbmeYCNirbuW7KrDNf2/WkizvcnfQH6hsTFznMsKpfCTXIJxTU706gVWaVmr1zIdvTsii3f2Pj8CEvLaCW79W7z1ES63D2233tx6d7dNxf4p0MIoGcINli0mBjiiIAISTY50UgoaXh5t9mVWdmZF2r1WRlh+oiaUYrGqpoyOvcKBhlbawuHO+k6pIvqSzVbwzsMPEsMJ+xjzICszOEc/MzIfDgNBRx9TaK9ss3VHVn97fVDfqY9fo5BHL4Ow6b+7rQlPw+dZn8PDaS/jyXun6kK/gTGCFAAADs=


R0lGODlhMABDAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAvAEIAgAAAAL8PGAJ2DI6py+1gnpw00ouRzVzuDipfSELleYxopq5Y61YxCM9PbTd4vuy89nsFL75g0TiUJT3LW9P51EUZx1+Vd81lZ1vulPoVhcVjYNl0Rp+7MfbK/U6rx3BU/XQv5UN7vrzfARj4R7hWaIiYWCbIcrjoGMbYmBZQAAA7


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



<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0130.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Finding the minimum element"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><script src=3Dscript.js></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"170"/></o:shapelayout>

</head>


<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master04.xml"> <p:shaperange href=3D"master04.xml#_x0000_s106497"/><![if !ppt]><p:shapera=nge href=3D"master04.xml#_x0000_s106498"/><p:shaperange href=3D"master04.xml#_x0000_s106499"/> <div v:shape=3D"_x0000_s106499" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>14=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'> </span></div> </div> <p:shaperange href=3D"master04.xml#_x0000_s106500"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s106500,_x0000_s106501,_x0000_s106502,_x0000_s106503,_x=0000_s106504,_x0000_s106505,_x0000_s106506,_x0000_s106507,_x0000_s106508,_x=0000_s106509" src=3D"master04_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_s106512"/><![endif]><p:shaperange href=3D"master04.xml#_x0000_m106510"/><v:shape id=3D"_x0000_s174082" type==3D"#_x0000_m106510" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:66.875pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master04.xml#_x0000_m106511"/><v:shape id=3D"_x0000_s174083" type==3D"#_x0000_m106511" style=3D'position:absolute;left:36pt;top:156pt;width:9in;height:306pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s174082" class=3DT style=3D'position:absolute;top:9=.0%; left:5.99%;width:88.2%;height:8.5%'>Finding the minimum element</div> <div v:shape=3D"_x0000_s174083" class=3DB><span style=3D'position:absolute; top:30.0%;left:9.73%;width:97.0%;height:6.75%'><span class=3DBB style=3D'position:absolute;left:-3.86%;top:.3em'>¨</span>The element w=ith smallest priority always </span><span style=3D'position:absolute;top:37.0%; left:9.73%;width:84.45%;height:6.75%'>sits at the root of the heap. </=span><span style=3D'position:absolute;top:45.5%;left:9.73%;width:87.82%;height:6.75%'=><span class=3DBB style=3D'position:absolute;left:-4.26%;top:.3em'>¨</span>Th=is is because if it was elsewhere, it </span><span style=3D'position:absolute; top:52.75%;left:9.73%;width:91.57%;height:6.75%'>would have a parent with

larger priority </span><span style=3D'position:absolute;top:59.75%;left:9.=73%; width:95.69%;height:6.75%'>and this would violate the heap property. =</span><span style=3D'position:absolute;top:68.25%;left:9.73%;width:90.82%;height:6.75%='><span class=3DBB style=3D'position:absolute;left:-4.12%;top:.3em'>¨</span>He=nce minimum() can be done in O(1) </span><span style=3D'position:absolute; top:75.5%;left:9.73%;width:84.45%;height:6.75%'>time.</span></div></p:slide></div>

</body>

</html>



<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0120.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Height of a heap"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><script src=3Dscript.js></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"158"/></o:shapelayout>

</head>


<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master04.xml"> <p:shaperange href=3D"master04.xml#_x0000_s106497"/><![if !ppt]><p:shapera=nge href=3D"master04.xml#_x0000_s106498"/><p:shaperange href=3D"master04.xml#_x0000_s106499"/> <div v:shape=3D"_x0000_s106499" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>15=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'> </span></div> </div> <p:shaperange href=3D"master04.xml#_x0000_s106500"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s106500,_x0000_s106501,_x0000_s106502,_x0000_s106503,_x=0000_s106504,_x0000_s106505,_x0000_s106506,_x0000_s106507,_x0000_s106508,_x=0000_s106509" src=3D"master04_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_s106512"/><![endif]><p:shaperange href=3D"master04.xml#_x0000_m106510"/><v:shape id=3D"_x0000_s161794" type==3D"#_x0000_m106510" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:65.625pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape><p:shaperange href=3D"master04.xml#_x0000_m106511"/><v:shape id=3D"_x0000_s161795" type==3D"#_x0000_m106511" style=3D'position:absolute;left:36pt;top:156pt;width:9in;height:252.25pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/></v:shape> <div v:shape=3D"_x0000_s161794" class=3DT style=3D'position:absolute;top:8=.75%; left:5.99%;width:88.2%;height:8.5%'>Height of a heap</div> <div v:shape=3D"_x0000_s161795" class=3DB> <div style=3D'position:absolute;top:30.0%;left:5.99%;width:100.93%;height:=6.75%'><span style=3D'position:absolute;top:0%;left:3.71%;width:96.28%;height:100.0%'><=span class=3DBB style=3D'position:absolute;left:-3.85%;top:.3em'>¨</span>Su=ppose a heap of n nodes has height h. </span></div> <span style=3D'position:absolute;top:38.5%;left:9.73%;width:92.5%;height:6=.75%'><span class=3DBB style=3D'position:absolute;left:-4.04%;top:.3em'>¨</span>Re=call: complete binary tree of height h </span><span style=3D'position:absolute;

top:45.5%;left:9.73%;width:84.45%;height:6.75%'>has 2<span style=3D'font-s=ize: 66%;position:relative;top:-.45em;mso-text-raise:30%'>h+1</span>-1 nodes.&#=13;</span> <div style=3D'position:absolute;top:54.0%;left:5.99%;width:88.2%;height:6.=75%'><span style=3D'position:absolute;top:0%;left:4.24%;width:95.75%;height:100.0%'><=span class=3DBB style=3D'position:absolute;left:-4.43%;top:.3em'>¨</span>He=nce 2<span style=3D'font-size:66%;position:relative;top:-.45em;mso-text-raise:30%'>h<=/span>-1 < n <=3D 2<span style=3D'font-size:66%;position:relative;top:-.45em; mso-text-raise:30%'>h+1</span>-1. </span></div> <div style=3D'position:absolute;top:62.5%;left:5.99%;width:88.2%;height:6.=75%'><span style=3D'position:absolute;top:0%;left:4.24%;width:95.75%;height:100.0%'><=span class=3DBB style=3D'position:absolute;left:-4.43%;top:.3em'>¨</span>n ==3D <span lang=3DEN-GB style=3D'mso-ascii-font-family:Symbol;font-size:75%'>ë</=span><span style=3D'mso-hansi-font-family:Arial;font-size:88%'>log</span><span style=3D'mso-hansi-font-family:Arial;font-size:58%;position:relative;top:.=37em; mso-text-raise:-25%'>2</span><span style=3D'mso-hansi-font-family:Arial; font-size:88%'><span style=3D'mso-spacerun:yes'> </span>h</span><span lang=3DEN-GB style=3D'mso-ascii-font-family:Symbol;font-size:75%'>û<=/span><span style=3D'font-family:cmsy10;mso-ascii-font-family:cmsy10;mso-hansi-font-fa=mily: cmsy10;mso-special-format:lastCR;display:none'> </span></span></div> </div></p:slide></div>

</body>

</html>



<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0076.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Implementing Heaps"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><script src=3Dscript.js></script><script></script><![endif]></head>


<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master04.xml" href=3D"slide0076.xml"> <p:shaperange href=3D"master04.xml#_x0000_s106497"/><![if !ppt]><p:shapera=nge href=3D"master04.xml#_x0000_s106498"/><p:shaperange href=3D"master04.xml#_x0000_s106499"/> <div v:shape=3D"_x0000_s106499" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>16=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'> </span></div> </div> <p:shaperange href=3D"master04.xml#_x0000_s106500"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s106500,_x0000_s106501,_x0000_s106502,_x0000_s106503,_x=0000_s106504,_x0000_s106505,_x0000_s106506,_x0000_s106507,_x0000_s106508,_x=0000_s106509" src=3D"master04_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_s106512"/><![endif]><p:shaperange href=3D"master04.xml#_x0000_m106510"/><p:shaperange href=3D"slide0076.xml#_x0000_s116738"/><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s116738,_x0000_s116739,_x0000_s116740,_x0000_s116741,_x=0000_s116882,_x0000_s116744,_x0000_s116745,_x0000_s116746,_x0000_s116747,_x=0000_s116748,_x0000_s116749,_x0000_s116750,_x0000_s116751,_x0000_s116752,_x=0000_s116753,_x0000_s116754,_x0000_s116755,_x0000_s116756,_x0000_s116757,_x=0000_s116758,_x0000_s116759,_x0000_s116760,_x0000_s116761,_x0000_s116762,_x=0000_s116763,_x0000_s116764,_x0000_s116765,_x0000_s116766,_x0000_s116767,_x=0000_s116768,_x0000_s116769,_x0000_s116770,_x0000_s116771,_x0000_s116772,_x=0000_s116773,_x0000_s116774,_x0000_s116775,_x0000_s116776,_x0000_s116777,_x=0000_s116778,_x0000_s116779,_x0000_s116780,_x0000_s116781,_x0000_s116782,_x=

0000_s116783,_x0000_s116784,_x0000_s116785,_x0000_s116786,_x0000_s116787,_x=0000_s116788,_x0000_s116789,_x0000_s116831,_x0000_s116832,_x0000_s116833,_x=0000_s116834,_x0000_s116835,_x0000_s116836,_x0000_s116841,_x0000_s116842,_x=0000_s116844,_x0000_s116846,_x0000_s116847,_x0000_s116848,_x0000_s116851,_x=0000_s116852,_x0000_s116853,_x0000_s116865,_x0000_s116850,_x0000_s116855,_x=0000_s116866,_x0000_s116849,_x0000_s116857,_x0000_s116869,_x0000_s116843,_x=0000_s116860,_x0000_s116868,_x0000_s116845,_x0000_s116863" src=3D"slide0076_image024.gif" style=3D'position:absolute;top:20.75%;left:=31.83%; width:63.1%;height:54.75%'><![endif]> <div v:shape=3D"_x0000_s116742" class=3DT style=3D'position:absolute;top:8=.25%; left:5.99%;width:88.2%;height:8.5%'><span lang=3DDA>Implementing Heaps</sp=an></div> <div v:shape=3D"_x0000_s116744"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:69.0%;left:89.13%;width:4.68%;height:5.25%'><span style=3D'font-size:8=6%'>26</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116745"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:69.0%;left:82.77%;width:4.68%;height:5.25%'><span style=3D'font-size:8=6%'>23</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116746"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:69.0%;left:76.59%;width:4.68%;height:5.25%'><span style=3D'font-size:8=6%'>43</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116747"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:69.0%;left:70.22%;width:4.68%;height:5.25%'><span style=3D'font-size:8=6%'>17</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116748"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>

<div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:69.0%;left:64.04%;width:4.68%;height:5.25%'><span style=3D'font-size:8=6%'>19</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116749"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:69.0%;left:57.86%;width:4.68%;height:5.25%'><span style=3D'font-size:8=6%'>21</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116750"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:69.0%;left:51.49%;width:4.68%;height:5.25%'><span style=3D'font-size:8=6%'>18</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116751"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:69.0%;left:45.31%;width:4.68%;height:5.25%'><span style=3D'font-size:8=6%'>13</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116752"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:69.0%;left:39.13%;width:4.68%;height:5.25%'><span style=3D'font-size:8=6%'>17</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116753"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=

:absolute; top:69.0%;left:32.77%;width:4.68%;height:5.25%'><span style=3D'font-size:8=6%'>11</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116754"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:62.25%;left:89.13%;width:4.68%;height:5.25%'><span style=3D'font-size:=86%'>10</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116755"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:62.25%;left:82.95%;width:4.3%;height:5.25%'><span style=3D'font-size:8=6%'>9</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116756"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:62.25%;left:76.59%;width:4.49%;height:5.25%'><span style=3D'font-size:=86%'>8</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116757"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:62.25%;left:70.41%;width:4.3%;height:5.25%'><span style=3D'font-size:8=6%'>7</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116758"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:62.25%;left:64.23%;width:4.3%;height:5.25%'><span style=3D'font-size:8=6%'>6</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none=

'> </span></div> </div> <div v:shape=3D"_x0000_s116759"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:62.25%;left:57.86%;width:4.49%;height:5.25%'><span style=3D'font-size:=86%'>5</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116760"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:62.25%;left:51.68%;width:4.3%;height:5.25%'><span style=3D'font-size:8=6%'>4</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116761"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:62.25%;left:45.5%;width:4.49%;height:5.25%'><span style=3D'font-size:8=6%'>3</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116762"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:62.25%;left:39.13%;width:4.3%;height:5.25%'><span style=3D'font-size:8=6%'>2</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116763"> <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div> <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div> <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div> <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div> <div class=3DTbl style=3D'text-align:center;mso-margin-left-alt:0;position=:absolute; top:62.25%;left:32.95%;width:4.3%;height:5.25%'><span style=3D'font-size:8=6%'>1</span><span lang=3DEN-GB style=3D'font-size:86%;mso-special-format:lastCR;display:none='> </span></div> </div> <div v:shape=3D"_x0000_s116791" class=3DO> <div style=3D'mso-line-spacing:"100 50 0"'><span style=3D'position:absolut=

e; top:20.5%;left:6.17%;width:23.97%;height:5.5%'><span style=3D'font-family:=Tahoma'><b>Parent</b></span><span style=3D'font-family:Tahoma'> (i)<br> </span></span><span style=3D'position:absolute;top:25.75%;left:6.17%; width:24.9%;height:5.75%'><span style=3D'font-family:Tahoma'><span style=3D'mso-spacerun:yes'> </span>return </span><span lang=3DEN-GB style=3D'font-family:Symbol'>ë</span><span style=3D'font=-family: Tahoma'>i/2</span><span lang=3DEN-GB style=3D'font-family:Symbol'>û<=/span><span style=3D'font-family:Symbol;display:none'> </span></span></div> <div style=3D'mso-line-spacing:"100 50 0"'><span style=3D'position:absolut=e; top:33.75%;left:6.17%;width:23.97%;height:5.5%'><span style=3D'font-family=:Tahoma'><b>Left</b></span><span style=3D'font-family:Tahoma'> (i)<br> </span></span><span style=3D'position:absolute;top:39.25%;left:6.17%; width:23.97%;height:5.5%'><span style=3D'font-family:Tahoma'><span style=3D'mso-spacerun:yes'> </span>return 2i </span>=</span></div> <div style=3D'mso-line-spacing:"100 50 0"'><span style=3D'position:absolut=e; top:47.25%;left:6.17%;width:23.97%;height:5.5%'><span style=3D'font-family=:Tahoma'><b>Right</b></span><span style=3D'font-family:Tahoma'> (i)<br> </span></span><span style=3D'position:absolute;top:52.5%;left:6.17%;width=:25.46%; height:5.5%'><span style=3D'font-family:Tahoma'><span style=3D'mso-spacerun:yes'> </span>return 2i+1</span><sp=an lang=3DEN-GB style=3D'font-family:Tahoma;mso-special-format:lastCR;display=:none'> </span></span></div> </div> <div v:shape=3D"_x0000_s116792" class=3DO style=3D'mso-line-spacing:"100 5=0 0"; position:absolute;top:86.0%;left:6.74%;width:72.84%;height:6.0%'><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'><b>Heap property</b></sp=an><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'>: </span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'><i>A</i></span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'>[Parent(</span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'><i>i</i></span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'>)] </span><span lang=3DE=N-GB style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'><=3D</span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'> </span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=

y: Arial;mso-hansi-font-family:Arial;font-size:117%'><i>A</i></span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'>[</span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'><i>i</i></span><span style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%'>]</span><span lang=3DEN-=GB style=3D'font-family:Arial;mso-ascii-font-family:Arial;mso-bidi-font-famil=y: Arial;mso-hansi-font-family:Arial;font-size:117%;mso-special-format:lastCR; display:none'> </span></div> <div v:shape=3D"_x0000_s116793" class=3DO style=3D'mso-line-spacing:"100 5=0 0"; position:absolute;top:76.75%;left:23.78%;width:70.78%;height:5.5%'><span style=3D'font-family:Tahoma'>Level:<span style=3D'mso-spacerun:yes'> </span>0<span style=3D'mso-spacerun:yes'> </span><=/span><span style=3D'font-family:Tahoma;color:#9999FF;mso-color-index:4'><span style=3D'mso-spacerun:yes'> </span>1</span><span style=3D'font-=family: Tahoma'><span style=3D'mso-spacerun:yes'> &nbsp=; </span></span><span style=3D'font-family:Tahoma;color:#9999CC;mso-color-in=dex: 5'>2</span><span style=3D'font-family:Tahoma'><span style=3D'mso-spacerun:yes'> &nbsp=; </span></span><span style=3D'font-family:Tahoma;color:#6699FF'>3</span><sp=an lang=3DEN-GB style=3D'font-family:Tahoma;color:#6699FF;mso-special-format:=lastCR; display:none'> </span></div> <div v:shape=3D"_x0000_s116853" class=3DO style=3D'text-align:center;mso-c=har-wrap: 1;mso-kinsoku-overflow:1'><span style=3D'position:absolute;top:20.0%;left:=64.6%; width:1.68%;height:9.25%'><span style=3D'font-family:Arial;mso-ascii-font-=family: Arial;mso-bidi-font-family:Arial;font-size:183%;color:#BF0F18;mso-special-=format: lastCR;display:none'><b><i> </i></b></span></span></div> <div v:shape=3D"_x0000_s116854" class=3DO style=3D'position:absolute;top:2=1.75%; left:63.48%;width:4.11%;height:5.25%'>11</div> <div v:shape=3D"_x0000_s116855" class=3DO style=3D'position:absolute;top:4=0.75%; left:44.0%;width:4.11%;height:5.25%'>18</div> <div v:shape=3D"_x0000_s116856" class=3DO style=3D'position:absolute;top:4=1.25%; left:71.16%;width:4.11%;height:5.25%'>19</div> <div v:shape=3D"_x0000_s116857" class=3DO style=3D'position:absolute;top:4=0.5%; left:58.05%;width:4.11%;height:5.25%'>21</div> <div v:shape=3D"_x0000_s116858" class=3DO style=3D'position:absolute;top:3=1.0%; left:51.87%;width:4.11%;height:5.25%'>17</div> <div v:shape=3D"_x0000_s116859" class=3DO style=3D'position:absolute;top:3=1.25%;

left:76.4%;width:4.11%;height:5.25%'>13</div> <div v:shape=3D"_x0000_s116860" class=3DO style=3D'position:absolute;top:5=2.0%; left:54.86%;width:4.11%;height:5.25%'>26</div> <div v:shape=3D"_x0000_s116863" class=3DO style=3D'position:absolute;top:5=1.75%; left:40.63%;width:4.11%;height:5.25%'>43</div> <div v:shape=3D"_x0000_s116864" class=3DO style=3D'position:absolute;top:4=1.0%; left:81.83%;width:4.11%;height:5.25%'>17</div> <div v:shape=3D"_x0000_s116872" class=3DO style=3D'mso-char-wrap:1;mso-kin=soku-overflow: 1;position:absolute;top:51.75%;left:47.94%;width:4.11%;height:5.25%'><span style=3D'font-family:Times;mso-ascii-font-family:Times;mso-bidi-font-famil=y: Arial'>23</span></div> <div v:shape=3D"_x0000_s116883" class=3DO style=3D'mso-line-spacing:"100 5=0 0"; mso-char-wrap:1;mso-kinsoku-overflow:1;position:absolute;top:68.5%;left:24=.71%; width:3.55%;height:6.0%'><span style=3D'font-family:Arial;mso-ascii-font-f=amily: Arial;mso-bidi-font-family:Arial;font-size:117%'>A</span></div></p:slide></div>

</body>

</html>

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/slide0076.xmlContent-Transfer-Encoding: quoted-printableContent-Type: text/xml; charset="utf-8"

<xml xmlns:v=3D"urn:schemas-microsoft-com:vml" xmlns:o=3D"urn:schemas-microsoft-com:office:office" xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint" xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"> <o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"114"/> </o:shapelayout><p:shaperange id=3D"_x0000_s116738"> <v:rect id=3D"_x0000_s116738" style=3D'position:absolute;left:254.125pt;t=op:271.5pt; width:411.875pt;height:43.625pt;mso-wrap-style:none; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:middle' fillcolor=3D"#669 [6]" stroked=3D"f" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116739" style=3D'position:absolute;left:28=0.875pt; top:211.375pt;width:375.25pt;height:43.625pt;mso-wrap-style:none; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:middle' fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116740" style=3D'position:absolute;left:33=6.75pt; top:160.25pt;width:265.875pt;height:43.625pt;mso-wrap-style:none; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:middle' fillcolor=3D"#99c [5]" stroked=3D"f" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116741" style=3D'position:absolute;left:41=6.75pt; top:111.5pt;width:103.875pt;height:43.625pt;mso-wrap-style:none; mso-wrap-distance-left:0;mso-wrap-distance-right:0;v-text-anchor:middle'

fillcolor=3D"#cccce6 [7]" stroked=3D"f" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:shape id=3D"_x0000_s116742" type=3D"#_x0000_m106510" style=3D='position:absolute; left:36pt;top:36pt;width:9in;height:59.875pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/> </v:shape><v:group id=3D"_x0000_s116882" style=3D'position:absolute;left:=229.875pt; top:331.375pt;width:450pt;height:71.75pt' coordorigin=3D"2049,2962" coordsize=3D"3591,574" o:tableproperties=3D"1" o:tablelimits=3D"32.5pt 3=2.375pt"> <o:lock v:ext=3D"edit" rotation=3D"t"/> <v:rect id=3D"_x0000_s116744" style=3D'position:absolute;left:5281;top:3=249; width:359;height:287' fillcolor=3D"#669 [6]" stroked=3D"f" strokecolor==3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116745" style=3D'position:absolute;left:4=923; top:3249;width:358;height:287' fillcolor=3D"#669 [6]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116746" style=3D'position:absolute;left:4=562; top:3249;width:361;height:287' fillcolor=3D"#669 [6]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116747" style=3D'position:absolute;left:4=204; top:3249;width:358;height:287' fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116748" style=3D'position:absolute;left:3=845; top:3249;width:359;height:287' fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116749" style=3D'position:absolute;left:3=485; top:3249;width:360;height:287' fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/>

</v:rect><v:rect id=3D"_x0000_s116750" style=3D'position:absolute;left:3=127; top:3249;width:358;height:287' fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116751" style=3D'position:absolute;left:2=766; top:3249;width:361;height:287' fillcolor=3D"#99c [5]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116752" style=3D'position:absolute;left:2=408; top:3249;width:358;height:287' fillcolor=3D"#99c [5]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116753" style=3D'position:absolute;left:2=049; top:3249;width:359;height:287' fillcolor=3D"#cccce6 [7]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116754" style=3D'position:absolute;left:5=281; top:2962;width:359;height:287' filled=3D"f" fillcolor=3D"#99f [4]" stro=ked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]" alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116755" style=3D'position:absolute;left:4=923; top:2962;width:358;height:287' filled=3D"f" fillcolor=3D"#99f [4]" stro=ked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]" alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116756" style=3D'position:absolute;left:4=562; top:2962;width:361;height:287' filled=3D"f" fillcolor=3D"#99f [4]" stro=ked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]" alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116757" style=3D'position:absolute;left:4=204; top:2962;width:358;height:287' filled=3D"f" fillcolor=3D"#99f [4]" stro=ked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt">

<v:fill color2=3D"white [0]" alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116758" style=3D'position:absolute;left:3=845; top:2962;width:359;height:287' filled=3D"f" fillcolor=3D"#99f [4]" stro=ked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]" alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116759" style=3D'position:absolute;left:3=485; top:2962;width:360;height:287' filled=3D"f" fillcolor=3D"#99f [4]" stro=ked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]" alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116760" style=3D'position:absolute;left:3=127; top:2962;width:358;height:287' filled=3D"f" fillcolor=3D"#99f [4]" stro=ked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]" alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116761" style=3D'position:absolute;left:2=766; top:2962;width:361;height:287' filled=3D"f" fillcolor=3D"#99f [4]" stro=ked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]" alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116762" style=3D'position:absolute;left:2=408; top:2962;width:358;height:287' filled=3D"f" fillcolor=3D"#99f [4]" stro=ked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]" alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:rect id=3D"_x0000_s116763" style=3D'position:absolute;left:2=049; top:2962;width:359;height:287' filled=3D"f" fillcolor=3D"#99f [4]" stro=ked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]" alignshape=3D"f" o:detectmouseclick=3D"t"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> </v:rect><v:line id=3D"_x0000_s116764" style=3D'position:absolute' from==3D"2049,2962" to=3D"2408,2962" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square"

imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116765" style=3D'position:absolute' from==3D"2049,3249" to=3D"5640,3249" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116766" style=3D'position:absolute' from==3D"2049,3536" to=3D"2408,3536" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116767" style=3D'position:absolute' from==3D"5640,2962" to=3D"5640,3249" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116768" style=3D'position:absolute' from==3D"2408,2962" to=3D"2766,2962" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116769" style=3D'position:absolute' from==3D"2049,3249" to=3D"2049,3536" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116770" style=3D'position:absolute' from==3D"2766,2962" to=3D"3127,2962" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116771" style=3D'position:absolute' from==3D"2408,3249" to=3D"2408,3536" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116772" style=3D'position:absolute' from==3D"3127,2962" to=3D"3485,2962" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116773" style=3D'position:absolute' from==3D"2766,3249"

to=3D"2766,3536" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116774" style=3D'position:absolute' from==3D"3485,2962" to=3D"3845,2962" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116775" style=3D'position:absolute' from==3D"3127,3249" to=3D"3127,3536" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116776" style=3D'position:absolute' from==3D"3845,2962" to=3D"4204,2962" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116777" style=3D'position:absolute' from==3D"3485,3249" to=3D"3485,3536" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116778" style=3D'position:absolute' from==3D"4204,2962" to=3D"4562,2962" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116779" style=3D'position:absolute' from==3D"3845,3249" to=3D"3845,3536" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116780" style=3D'position:absolute' from==3D"4562,2962" to=3D"4923,2962" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116781" style=3D'position:absolute' from==3D"4204,3249" to=3D"4204,3536" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/>

<v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116782" style=3D'position:absolute' from==3D"4923,2962" to=3D"5281,2962" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116783" style=3D'position:absolute' from==3D"4562,3249" to=3D"4562,3536" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116784" style=3D'position:absolute' from==3D"5281,2962" to=3D"5640,2962" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116785" style=3D'position:absolute' from==3D"4923,3249" to=3D"4923,3536" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116786" style=3D'position:absolute' from==3D"5281,3249" to=3D"5281,3536" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" imagealignshape=3D"f="/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116787" style=3D'position:absolute' from==3D"5640,3249" to=3D"5640,3536" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116788" style=3D'position:absolute' from==3D"2408,3536" to=3D"5640,3536" strokecolor=3D"black [1]" strokeweight=3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116789" style=3D'position:absolute' from==3D"2049,2962" to=3D"2049,3249" stroked=3D"f" strokecolor=3D"black [1]" strokeweight==3D"2.25pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrowwidth=3D"narrow" endarrowlength=3D"short" endcap=3D"square" imagealignshape=3D"f"/> <v:shadow color=3D"#00007d [2]"/> </v:line></v:group><v:shapetype id=3D"_x0000_t202" coordsize=3D"21600,21=600" o:spt=3D"202" path=3D"m,l,21600r21600,l21600,xe"> <v:stroke joinstyle=3D"miter"/>

<v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> </v:shapetype><v:shape id=3D"_x0000_s116791" type=3D"#_x0000_t202" style==3D'position:absolute; left:37pt;top:107.5pt;width:186.25pt;height:208.5pt' filled=3D"f" fillco=lor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokeweight=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s116792" type=3D"#_x0000_t202" style=3D'p=osition:absolute; left:41.625pt;top:458.625pt;width:489.5pt;height:40.875pt' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]" strokewei=ght=3D"1pt"> <v:fill color2=3D"white [0]"/> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s116793" type=3D"#_x0000_t202" style=3D'p=osition:absolute; left:164.375pt;top:410.5pt;width:514.5pt;height:36pt' filled=3D"f" fillcolor=3D"#cccce6 [7]" stroked=3D"f" strokecolor=3D"black [1]" stroke=weight=3D"1pt"> <v:stroke startarrowwidth=3D"narrow" startarrowlength=3D"short" endarrow=width=3D"narrow" endarrowlength=3D"short"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:line id=3D"_x0000_s116831" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"388.5pt,130.625pt" to=3D"466.625pt,181pt" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116832" style=3D'position:absolute; v-text-anchor:middle' from=3D"466pt,128.375pt" to=3D"569.625pt,183.25pt" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116833" style=3D'position:absolute; v-text-anchor:middle' from=3D"562.125pt,186.875pt" to=3D"602.5pt,235.625=pt" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116834" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"333.375pt,182.25pt" to=3D"383.5pt,233.375p=t" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116835" style=3D'position:absolute; v-text-anchor:middle' from=3D"387.375pt,181.125pt" to=3D"430pt,235.75pt" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116836" style=3D'position:absolute; v-text-anchor:middle' from=3D"332.75pt,232.25pt" to=3D"357.5pt,299.75pt" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s116841" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"403pt,234.5pt" to=3D"427.875pt,302pt" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s116842" style=3D'position:absolute;left:34=

2.375pt; top:275.875pt;width:31pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:line id=3D"_x0000_s116844" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"306.125pt,231pt" to=3D"331pt,298.5pt" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s116846" style=3D'position:absolute;left:58=5.125pt; top:216.375pt;width:31.125pt;height:34pt;mso-wrap-style:none; v-text-anchor:middle' fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:line id=3D"_x0000_s116847" style=3D'position:absolute;flip:x; v-text-anchor:middle' from=3D"525.75pt,183.375pt" to=3D"561.5pt,232.25pt" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s116848" style=3D'position:absolute;left:50=9.125pt; top:216.375pt;width:31.125pt;height:34pt;mso-wrap-style:none; v-text-anchor:middle' fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s116851" style=3D'position:absolute;left:37=1pt; top:163.875pt;width:31pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s116852" style=3D'position:absolute;left:54=6.25pt; top:166pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s116853" style=3D'position:absolute;left:45=5.25pt; top:114.875pt;width:31.25pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:shape id=3D"_x0000_s116854" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:449.75pt;top:112.25pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:group id=3D"_x0000_s116865" style=3D'position:absolute;left:=309.5pt; top:215.25pt;width:38.5pt;height:36.25pt' coordorigin=3D"2877,1950" coordsize=3D"308,290"> <v:oval id=3D"_x0000_s116850" style=3D'position:absolute;left:2922;top:1=968; width:249;height:272;mso-wrap-style:none;v-text-anchor:middle' fillcolo=r=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:shape id=3D"_x0000_s116855" type=3D"#_x0000_t202" style=3D'p=osition:absolute; left:2877;top:1950;width:308;height:288;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/>

<v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape></v:group><v:shape id=3D"_x0000_s116856" type=3D"#_x0000_t202" style=3D'position:absolute;left:504.875pt;top:217.25pt;width:38.5pt;heig=ht:36pt; mso-wrap-style:none;v-text-anchor:top-baseline' filled=3D"f" fillcolor==3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:group id=3D"_x0000_s116866" style=3D'position:absolute;left:=411pt; top:213.125pt;width:38.5pt;height:36.25pt' coordorigin=3D"3543,1951" coordsize=3D"308,290"> <v:oval id=3D"_x0000_s116849" style=3D'position:absolute;left:3570;top:1=969; width:250;height:272;mso-wrap-style:none;v-text-anchor:middle' fillcolo=r=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:shape id=3D"_x0000_s116857" type=3D"#_x0000_t202" style=3D'p=osition:absolute; left:3543;top:1951;width:308;height:288;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape></v:group><v:shape id=3D"_x0000_s116858" type=3D"#_x0000_t202" style=3D'position:absolute;left:366.5pt;top:161.625pt;width:38.5pt;heigh=t:36pt; mso-wrap-style:none;v-text-anchor:top-baseline' filled=3D"f" fillcolor==3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s116859" type=3D"#_x0000_t202" style=3D'p=osition:absolute; left:542.75pt;top:163.625pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:group id=3D"_x0000_s116869" style=3D'position:absolute;left:=387.625pt; top:275.375pt;width:38.5pt;height:36pt' coordorigin=3D"3320,2989" coords=ize=3D"308,288"> <v:oval id=3D"_x0000_s116843" style=3D'position:absolute;left:3346;top:2=993; width:249;height:271;mso-wrap-style:none;v-text-anchor:middle' fillcolo=r=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:shape id=3D"_x0000_s116860" type=3D"#_x0000_t202" style=3D'p=osition:absolute; left:3320;top:2989;width:308;height:288;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/>

<v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape></v:group><v:group id=3D"_x0000_s116868" style=3D'position:abs=olute; left:285.25pt;top:274.25pt;width:38.5pt;height:36pt' coordorigin=3D"2392=,2989" coordsize=3D"308,288"> <v:oval id=3D"_x0000_s116845" style=3D'position:absolute;left:2428;top:2=993; width:249;height:271;mso-wrap-style:none;v-text-anchor:middle' fillcolo=r=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:shape id=3D"_x0000_s116863" type=3D"#_x0000_t202" style=3D'p=osition:absolute; left:2392;top:2989;width:308;height:288;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape></v:group><v:shape id=3D"_x0000_s116864" type=3D"#_x0000_t202" style=3D'position:absolute;left:581.5pt;top:216.5pt;width:38.5pt;height:=36pt; mso-wrap-style:none;v-text-anchor:top-baseline' filled=3D"f" fillcolor==3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s116872" type=3D"#_x0000_t202" style=3D'p=osition:absolute; left:337.875pt;top:274pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s116883" type=3D"#_x0000_t202" style=3D'p=osition:absolute; left:170.25pt;top:364.625pt;width:38.875pt;height:40.875pt' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape></p:shaperange></xml>------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/slide0076_image024.gifContent-Transfer-Encoding: base64Content-Type: image/gif

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



<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title>

<![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0077.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Implementing Heaps (2)"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0065.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Insertion in a Heap"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><style></style><script src=3Dscript.js></script><script></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"97"/> <o:regrouptable v:ext=3D"edit"> <o:entry new=3D"1" old=3D"0"/> <o:entry new=3D"2" old=3D"0"/> </o:regrouptable></o:shapelayout></head>

<body lang=3DEN-US style=3D'margin:0px;background-color:black'onclick=3D"DocumentOnClick()" onresize=3D"_RSW()" onload=3D"LoadSld()"

onkeypress=3D"_KPH()" oa:clockstart=3D"onstart">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master04.xml"> <p:shaperange href=3D"master04.xml#_x0000_s106497"/><![if !ppt]><p:shapera=nge href=3D"master04.xml#_x0000_s106498"/><p:shaperange href=3D"master04.xml#_x0000_s106499"/> <div v:shape=3D"_x0000_s106499" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>18=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'> </span></div> </div> <p:shaperange href=3D"master04.xml#_x0000_s106500"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s106500,_x0000_s106501,_x0000_s106502,_x0000_s106503,_x=0000_s106504,_x0000_s106505,_x0000_s106506,_x0000_s106507,_x0000_s106508,_x=0000_s106509" src=3D"master04_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_s106512"/><![endif]><v:line id=3D"_x0000_s993=86" style=3D'position:absolute;flip:x;v-text-anchor:middle' from=3D"499.75pt,=361.75pt" to=3D"524.625pt,429.25pt" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> <p:animation number=3D"11" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"16384"/></v:line><![if !vml]><img border==3D0 v:shapes=3D"_x0000_s99386" src=3D"slide0065_image025.gif" style=3D'positio=n:absolute; top:67.0%;left:69.28%;width:3.93%;height:13.0%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_m106510"/><v:shape id=3D"_x0000_s99330" type==3D"#_x0000_m106510" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:74.125pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape> <div v:shape=3D"_x0000_s99330" class=3DT style=3D'position:absolute;top:9.=5%; left:5.99%;width:88.2%;height:8.5%'>Insertion in a Heap</div> <p:shaperange href=3D"master04.xml#_x0000_m106511"/><v:shape id=3D"_x0000_=s99331" type=3D"#_x0000_m106511" style=3D'position:absolute;left:48.25pt;top:156.=25pt; width:209.625pt;height:137.375pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/><p:animation number=3D"2" de=lay=3D"0" type=3D"text" level=3D"1" effect=3D"cut" direction=3D"noBlack"/></v:shap=e> <div v:shape=3D"_x0000_s99331" class=3DB> <div id=3D"_x0000_s99331_0_10" style=3D'position:absolute;top:30.0%;left:7=

.67%; width:27.34%;height:6.75%;white-space:nowrap'><span style=3D'position:abso=lute; top:0%;left:13.69%;width:86.3%;height:100.0%'><span class=3DBB style=3D'po=sition: absolute;left:-15.87%;top:.3em'>¨</span>Insert 12 </span></div> <div id=3D"_x0000_s99331_10_19" style=3D'position:absolute;top:38.5%;left:=7.67%; width:27.34%;height:6.75%;white-space:nowrap'><span style=3D'position:abso=lute; top:0%;left:13.69%;width:86.3%;height:100.0%'><span class=3DBB style=3D'po=sition: absolute;left:-15.87%;top:.3em'>¨</span>Insert 8</span></div> </div> <v:line id=3D"_x0000_s99333" style=3D'position:absolute;flip:x;v-text-anch=or:middle' from=3D"253.5pt,201.375pt" to=3D"346.5pt,268.875pt" o:regroupid=3D"2" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s99334" style=3D'position:absolute;v-text-an=chor:middle' from=3D"352.75pt,201.375pt" to=3D"464.375pt,268.875pt" o:regroupid=3D"2" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99333,_x0000_s993=34" src=3D"slide0065_image026.gif" style=3D'position:absolute;top:37.25%;left:=35.2%; width:29.77%;height:13.0%'><![endif]><v:line id=3D"_x0000_s99335" style=3D='position:absolute; v-text-anchor:middle' from=3D"470.625pt,268.875pt" to=3D"532.75pt,356.625=pt" o:regroupid=3D"2" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99335" src=3D"slide0065_image027.gif" style=3D'position:absolute;top:49.75%;left:=65.35%; width:8.98%;height:16.75%'><![endif]><v:line id=3D"_x0000_s99336" style=3D='position:absolute; flip:x;v-text-anchor:middle' from=3D"191.5pt,268.875pt" to=3D"247.375pt,3=56.625pt" o:regroupid=3D"2" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s99337" style=3D'position:absolute;v-text-an=chor:middle' from=3D"253.5pt,268.875pt" to=3D"303pt,356.625pt" o:regroupid=3D"2" strok=ecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s99338" style=3D'position:absolute;v-text-an=chor:middle' from=3D"197.75pt,363.5pt" to=3D"222.5pt,431pt" o:regroupid=3D"2" strokeco=lor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s99339" style=3D'position:absolute;v-text-an=chor:middle' from=3D"309.375pt,363.5pt" to=3D"334pt,431pt" o:regroupid=3D"2" strokecol=or=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99336,_x0000_s99337,_x0000_s99338,_x0000_s99339" src=3D"slide0065_image028.gif" style=3D'position:absolute;top:49.75%;left:=26.59%; width:20.22%;height:30.5%'><![endif]><v:line id=3D"_x0000_s99340" style=3D='position:absolute;

v-text-anchor:middle' from=3D"414.75pt,363.5pt" to=3D"439.5pt,431pt" o:re=groupid=3D"2" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> <p:animation number=3D"3" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"16384"/></v:line><![if !vml]><img border==3D0 v:shapes=3D"_x0000_s99340" src=3D"slide0065_image029.gif" style=3D'positio=n:absolute; top:67.25%;left:57.49%;width:3.93%;height:13.0%'><![endif]><v:line id=3D"_=x0000_s99342" style=3D'position:absolute;flip:x;v-text-anchor:middle' from=3D"383.75pt,=370.25pt" to=3D"408.625pt,437.875pt" o:regroupid=3D"2" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99342" src=3D"slide0065_image030.gif" style=3D'position:absolute;top:68.5%;left:5=3.18%; width:3.93%;height:13.0%'><![endif]><v:oval id=3D"_x0000_s99345" style=3D'=position:absolute; left:427.125pt;top:417.5pt;width:31.125pt;height:33.875pt;mso-wrap-style:=none; v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> <p:animation number=3D"4" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"17412"/></v:oval><![if !vml]><img border==3D0 v:shapes=3D"_x0000_s99345" src=3D"slide0065_image031.gif" style=3D'positio=n:absolute; top:77.25%;left:59.36%;width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_=x0000_s99346" style=3D'position:absolute;left:371.375pt;top:417.5pt;width:31.125pt;heig=ht:33.875pt; mso-wrap-style:none;v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"=white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s99347" style=3D'position:absolute;left:315.=5pt; top:417.5pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99346,_x0000_s993=47" src=3D"slide0065_image032.gif" style=3D'position:absolute;top:77.25%;left:=43.82%; width:12.54%;height:6.75%'><![endif]><v:line id=3D"_x0000_s99348" style=3D='position:absolute; flip:x;v-text-anchor:middle' from=3D"278.375pt,363.5pt" to=3D"303.25pt,43=1pt" o:regroupid=3D"2" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99348" src=3D"slide0065_image033.gif" style=3D'position:absolute;top:67.25%;left:=38.57%; width:3.93%;height:13.0%'><![endif]><v:oval id=3D"_x0000_s99349" style=3D'=position:absolute; left:203.875pt;top:417.5pt;width:31pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s99350" style=3D'position:absolute;left:262.=

75pt; top:417.5pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99349,_x0000_s993=50" src=3D"slide0065_image034.gif" style=3D'position:absolute;top:77.25%;left:=28.27%; width:12.92%;height:6.75%'><![endif]><v:line id=3D"_x0000_s99352" style=3D='position:absolute; flip:x;v-text-anchor:middle' from=3D"166.625pt,363.5pt" to=3D"191.5pt,431=pt" o:regroupid=3D"2" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s99353" style=3D'position:absolute;left:148p=t;top:417.5pt; width:31.125pt;height:33.875pt;mso-wrap-style:none;v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99352,_x0000_s993=53" src=3D"slide0065_image035.gif" style=3D'position:absolute;top:67.25%;left:=20.41%; width:6.36%;height:16.75%'><![endif]><v:oval id=3D"_x0000_s99354" style=3D='position:absolute; left:514.125pt;top:343.125pt;width:31.125pt;height:34pt;mso-wrap-style:no=ne; v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99354" src=3D"slide0065_image036.gif" style=3D'position:absolute;top:63.5%;left:7=1.34%; width:4.68%;height:6.75%'><![endif]><v:line id=3D"_x0000_s99355" style=3D'=position:absolute; flip:x;v-text-anchor:middle' from=3D"414.75pt,268.875pt" to=3D"476.75pt,3=56.625pt" o:regroupid=3D"2" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s99356" style=3D'position:absolute;left:396p=t;top:343.125pt; width:31.125pt;height:34pt;mso-wrap-style:none;v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99355,_x0000_s993=56" src=3D"slide0065_image037.gif" style=3D'position:absolute;top:49.75%;left:=54.86%; width:11.61%;height:20.5%'><![endif]><v:oval id=3D"_x0000_s99357" style=3D='position:absolute; left:290.75pt;top:343.125pt;width:31.25pt;height:34pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99357" src=3D"slide0065_image038.gif" style=3D'position:absolute;top:63.5%;left:4=0.26%; width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_x0000_s99358" style=3D'=position:absolute; left:179pt;top:343.125pt;width:31.125pt;height:34pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/>

</v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99358" src=3D"slide0065_image039.gif" style=3D'position:absolute;top:63.5%;left:2=4.71%; width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_x0000_s99359" style=3D'=position:absolute; left:234.875pt;top:255.125pt;width:31pt;height:33.875pt;mso-wrap-style:no=ne; v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99359" src=3D"slide0065_image040.gif" style=3D'position:absolute;top:47.25%;left:=32.58%; width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_x0000_s99360" style=3D'=position:absolute; left:458.125pt;top:255.125pt;width:31.125pt;height:33.875pt;mso-wrap-styl=e:none; v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99360" src=3D"slide0065_image041.gif" style=3D'position:absolute;top:47.25%;left:=63.48%; width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_x0000_s99361" style=3D'=position:absolute; left:334pt;top:181pt;width:31.25pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"2" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s99361" src=3D"slide0065_image042.gif" style=3D'position:absolute;top:33.5%;left:4=6.25%; width:4.68%;height:6.75%'><![endif]> <div v:shape=3D"_x0000_s99361" class=3DO style=3D'text-align:center;mso-ch=ar-wrap: 1;mso-kinsoku-overflow:1'><span style=3D'position:absolute;top:32.25%; left:47.75%;width:1.68%;height:9.25%'><span style=3D'font-family:Arial; mso-ascii-font-family:Arial;mso-bidi-font-family:Arial;font-size:183%; color:#BF0F18;mso-special-format:lastCR;display:none'><b><i> </i></b><=/span></span></div> <v:shapetype id=3D"_x0000_t202" coordsize=3D"21600,21600" o:spt=3D"202" pa=th=3D"m,l,21600r21600,l21600,xe"> <v:stroke joinstyle=3D"miter"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> </v:shapetype><v:shape id=3D"_x0000_s99363" type=3D"#_x0000_t202" style=3D='position:absolute; left:329.5pt;top:183pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div id=3D"_x0000_s99363_AllText" v:shape=3D"_x0000_s99363" class=3DO style=3D'position:absolute;top:35.0%;left:46.81%;width:4.11%;height:5.25%; white-space:nowrap'> <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:100.0%'=>11</div> </div> <v:shape id=3D"_x0000_s99372" type=3D"#_x0000_t202" style=3D'position:abso=lute; left:175.5pt;top:342pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked=

=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div v:shape=3D"_x0000_s99372" class=3DO style=3D'position:absolute;top:64=.25%; left:25.46%;width:4.11%;height:5.25%'>18</div> <v:shape id=3D"_x0000_s99374" type=3D"#_x0000_t202" style=3D'position:abso=lute; left:390.5pt;top:344pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div id=3D"_x0000_s99374_AllText" v:shape=3D"_x0000_s99374" class=3DO style=3D'position:absolute;top:64.75%;left:55.24%;width:4.11%;height:5.25%; white-space:nowrap'> <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:100.0%'=>19</div> </div> <v:shape id=3D"_x0000_s99375" type=3D"#_x0000_t202" style=3D'position:abso=lute; left:288.5pt;top:342pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s99376" type=3D"#_x0000_t202" style=3D'pos=ition:absolute; left:230.5pt;top:253pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div v:shape=3D"_x0000_s99375" class=3DO style=3D'position:absolute;top:64=.25%; left:41.01%;width:4.11%;height:5.25%'>21</div> <div v:shape=3D"_x0000_s99376" class=3DO style=3D'position:absolute;top:47=.75%; left:32.95%;width:4.11%;height:5.25%'>17</div> <v:shape id=3D"_x0000_s99377" type=3D"#_x0000_t202" style=3D'position:abso=lute; left:453.5pt;top:255pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div id=3D"_x0000_s99377_AllText" v:shape=3D"_x0000_s99377" class=3DO style=3D'position:absolute;top:48.25%;left:64.04%;width:4.11%;height:5.25%; white-space:nowrap'> <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:100.0%'=

>13</div> </div> <v:shape id=3D"_x0000_s99378" type=3D"#_x0000_t202" style=3D'position:abso=lute; left:200.5pt;top:416pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s99379" type=3D"#_x0000_t202" style=3D'pos=ition:absolute; left:259.5pt;top:417pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s99380" type=3D"#_x0000_t202" style=3D'pos=ition:absolute; left:312.5pt;top:417pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s99381" type=3D"#_x0000_t202" style=3D'pos=ition:absolute; left:367.5pt;top:416pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s99382" type=3D"#_x0000_t202" style=3D'pos=ition:absolute; left:143.5pt;top:417pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div v:shape=3D"_x0000_s99378" class=3DO style=3D'position:absolute;top:78=.0%; left:28.83%;width:4.11%;height:5.25%'>23</div> <div v:shape=3D"_x0000_s99379" class=3DO style=3D'position:absolute;top:78=.25%; left:37.07%;width:4.11%;height:5.25%'>26</div> <div v:shape=3D"_x0000_s99380" class=3DO style=3D'position:absolute;top:78=.25%; left:44.38%;width:4.11%;height:5.25%'>29</div> <div v:shape=3D"_x0000_s99381" class=3DO style=3D'position:absolute;top:78=.0%; left:52.05%;width:4.11%;height:5.25%'>31</div> <div v:shape=3D"_x0000_s99382" class=3DO style=3D'position:absolute;top:78=.25%; left:20.97%;width:4.11%;height:5.25%'>43</div> <v:shape id=3D"_x0000_s99383" type=3D"#_x0000_t202" style=3D'position:abso=

lute; left:422.25pt;top:417.125pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"5" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack"/></v:shape> <div id=3D"_x0000_s99383_AllText" v:shape=3D"_x0000_s99383" class=3DO style=3D'position:absolute;top:78.25%;left:59.73%;width:4.11%;height:5.25%; white-space:nowrap'> <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:100.0%'=>12</div> </div> <v:oval id=3D"_x0000_s99387" style=3D'position:absolute;left:481.125pt;top=:415.75pt; width:31.125pt;height:33.875pt;mso-wrap-style:none;v-text-anchor:middle' fillcolor=3D"white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> <p:animation number=3D"12" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"17412"/></v:oval><![if !vml]><img border==3D0 v:shapes=3D"_x0000_s99387" src=3D"slide0065_image043.gif" style=3D'positio=n:absolute; top:77.0%;left:66.85%;width:4.68%;height:6.75%'><![endif]><v:shape id=3D"_=x0000_s99373" type=3D"#_x0000_t202" style=3D'position:absolute;left:510.5pt;top:342pt;w=idth:38.5pt; height:36pt;mso-wrap-style:none;v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div id=3D"_x0000_s99373_AllText" v:shape=3D"_x0000_s99373" class=3DO style=3D'position:absolute;top:64.25%;left:71.91%;width:4.11%;height:5.25%; white-space:nowrap'> <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:100.0%'=>17</div> </div> <v:shape id=3D"_x0000_s99388" type=3D"#_x0000_t202" style=3D'position:abso=lute; left:478.875pt;top:415.25pt;width:32.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#99f [4]" stroked==3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> <p:animation number=3D"13" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack"/></v:shape> <div id=3D"_x0000_s99388_AllText" v:shape=3D"_x0000_s99388" class=3DO style=3D'position:absolute;top:78.0%;left:67.6%;width:3.18%;height:5.25%; white-space:nowrap'> <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:100.0%'=><span style=3D'mso-spacerun:yes'> </span>8</div> </div></p:slide></div>

<p:animation number=3D"1347963229"/><oa:par id=3D"TimeNode0" dur=3D"indefin=ite"

restart=3D"never" p:nodeType=3D"timingRoot"> <oa:seq id=3D"TimeNode1" dur=3D"indefinite" prev=3D"document.onpptprev" next=3D"document.onpptnext" concurrent=3D"enabled" nextAction=3D"seek" p:nodeType=3D"mainSeq"> <oa:par id=3D"TimeNode2" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode3" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode4" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode5" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s99331_0_10" attributeName=3D"style.visibilit=y" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode6" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode7" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode8" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode9" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s99340" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <oa:par id=3D"TimeNode10" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"with=Effect"> <oa:set id=3D"TimeNode11" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s99345" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode12" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode13" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode14" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"2" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode15" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s99383" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode16" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode17" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s99383_AllText" attributeName=3D"style.visibi=lity" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode18" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode19" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode20" o:presetID=3D"ppt_0" o:presetClass=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:animateMotion id=3D"TimeNode21" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99374" attributeName=3D"ppt_x,ppt_y" origin=

=3D"layout" path=3D"M -6.94444E-6 -5.78035E-7 L 0.04288 0.13942 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode22" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode23" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99374_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M -6.94444E-6 -5.78035E-7 L 0.04288 0.13942= " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![endif]><oa:par id=3D"TimeNode24" o:presetID=3D"ppt_0" o:presetClass==3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"3" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode25" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99383" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M 0.0 0.0 L -0.04289 -0.13526 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode26" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode27" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99383_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M 0.0 0.0 L -0.04289 -0.13526 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode28" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode29" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode30" o:presetID=3D"ppt_0" o:presetClass=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"4" p:nodeType=3D"clickEffect"> <oa:animateMotion id=3D"TimeNode31" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99383" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M -0.04288 -0.13526 L 0.04132 -0.3022 " pptPathEditMode=3D"re=lative" o:rAngle=3D"0.0" o:rCenter=3D"0.042,-0.083" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode32" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode33" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99383_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M -0.04288 -0.13526 L 0.04132 -0.3022 " pptPathEditMode=3D"relative" o:rAngle=3D"0.0" o:rCenter=3D"0.042,-0.0=83" o:pointsTypes=3D"AA"/> </oa:par> <![endif]><oa:par id=3D"TimeNode34" o:presetID=3D"ppt_0" o:presetClass=

=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode35" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99377" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M -8.33333E-7 -2.89017E-7 L -0.08577 0.16486 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode36" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode37" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99377_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M -8.33333E-7 -2.89017E-7 L -0.08577 0.1648=6 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode38" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode39" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode40" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode41" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s99331_10_19" attributeName=3D"style.visibili=ty" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode42" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode43" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode44" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode45" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s99386" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> <oa:par id=3D"TimeNode46" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"with=Effect"> <oa:set id=3D"TimeNode47" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s99387" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode48" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode49" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode50" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode51" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s99388" attributeName=3D"style.visibility"

to=3D"visible"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode52" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill==3D"hold" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode53" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s99388_AllText" attributeName=3D"style.visibi=lity" to=3D"visible"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode54" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode55" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode56" o:presetID=3D"ppt_0" o:presetClass=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"1" p:nodeType=3D"clickEffect"> <oa:animateMotion id=3D"TimeNode57" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99388" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M 0.0 0.0 L 0.04289 -0.13318 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode58" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode59" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99388_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M 0.0 0.0 L 0.04289 -0.13318 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![endif]><oa:par id=3D"TimeNode60" o:presetID=3D"ppt_0" o:presetClass==3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode61" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99373" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M -0.00521 0.00232 L -0.05139 0.1355 " pptPathEditMode=3D"rel=ative" o:rAngle=3D"0.0" o:rCenter=3D"-0.023,0.067" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode62" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode63" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99373_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M -0.00521 0.00232 L -0.05139 0.1355 " pptPathEditMode=3D"relative" o:rAngle=3D"0.0" o:rCenter=3D"-0.023,0.0=67" o:pointsTypes=3D"AA"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode64" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode65" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode66" o:presetID=3D"ppt_0" o:presetClass=3D"path"

o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"2" p:nodeType=3D"clickEffect"> <oa:animateMotion id=3D"TimeNode67" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99388" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M 0.04288 -0.13318 L -0.03802 -0.29804 " pptPathEditMode=3D"r=elative" o:rAngle=3D"0.0" o:rCenter=3D"-0.04,-0.083" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode68" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode69" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99388_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M 0.04288 -0.13318 L -0.03802 -0.29804 " pptPathEditMode=3D"relative" o:rAngle=3D"0.0" o:rCenter=3D"-0.04,-0.0=83" o:pointsTypes=3D"AA"/> </oa:par> <![endif]><oa:par id=3D"TimeNode70" o:presetID=3D"ppt_0" o:presetClass==3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"5" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode71" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99383" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M 0.04132 -0.30219 L 0.11909 -0.13503 " pptPathEditMode=3D"re=lative" o:rAngle=3D"0.0" o:rCenter=3D"0.039,0.083" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode72" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode73" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99383_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M 0.04132 -0.30219 L 0.11909 -0.13503 " pptPathEditMode=3D"relative" o:rAngle=3D"0.0" o:rCenter=3D"0.039,0.08=3" o:pointsTypes=3D"AA"/> </oa:par> <![endif]></oa:par> </oa:par> <oa:par id=3D"TimeNode74" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode75" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode76" o:presetID=3D"ppt_0" o:presetClass=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"3" p:nodeType=3D"clickEffect"> <oa:animateMotion id=3D"TimeNode77" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99388" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M -0.03315 -0.29873 L -0.20764 -0.43815 " pptPathEditMode=3D"=relative" o:rAngle=3D"0.0" o:rCenter=3D"-0.087,-0.07" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode78" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D=

"0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode79" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99388_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M -0.03315 -0.29873 L -0.20764 -0.43815 " pptPathEditMode=3D"relative" o:rAngle=3D"0.0" o:rCenter=3D"-0.087,-0.=07" o:pointsTypes=3D"AA"/> </oa:par> <![endif]><oa:par id=3D"TimeNode80" o:presetID=3D"ppt_0" o:presetClass==3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode81" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99363" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M 3.61111E-6 1.56069E-6 L 0.17136 0.13526 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode82" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode83" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s99363_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M 3.61111E-6 1.56069E-6 L 0.17136 0.13526 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![endif]></oa:par> </oa:par> </oa:seq></oa:par><![if ppt]><oa:buildParagraph targetElement=3D"_x0000_s99331" groupID=3D"0" build=3D"b=yParagraph" buildLevel=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd==3D"false"/><oa:buildParagraph targetElement=3D"_x0000_s99363" groupID=3D"0" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99374" groupID=3D"0" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99377" groupID=3D"0" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99383" groupID=3D"2" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99383" groupID=3D"3" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99383" groupID=3D"4" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99383" groupID=3D"5" build=3D"asAWhole" buildLeve=

l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99373" groupID=3D"0" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99388" groupID=3D"0" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99388" groupID=3D"1" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99388" groupID=3D"2" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s99388" groupID=3D"3" build=3D"asAWhole" buildLeve=l=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><![endif]></body>

</html>


R0lGODlhFAA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQATADIAgAAAAL8PGAI/hI95oZ3sIoxq0nebzWBzf4Ehh5GGSKGSebKtq2puB8+xzN6VXfemXsr5fjzhkARcFInHTzOTVBqnyCXzaioAADs=


R0lGODlhnwA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACdADMAgAAAAL8PGALmhI+py+1vAgoS2ouz3rwfuoDeSJbm+T0VyrYuujriS9d2GEPzzfdmjgH6hkTVaFdMKpEdpvJpEx6h1JqzdK1qN1JYdwuW+b7hcoTcyprBaJp6/Xzz2vAxm163muV5F3/ZN4QXNxjIUQj1Z5ihyLYI86jQGJkwuYZIiQlnuaiZx1kHauhZRtppWoX6KJqomvlK6TXqGjtB61erd5kbdUvCynsB/BMsSOVbrIKss5ysbOwcN9ccLUxNXc2IjJ2tQTvczTLMHd7kSV7ugQieboWH3o5Fxh7f0wVfL1uZnytCz58EH0ArBQAAOw==


R0lGODlhMABDAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAuAEEAgAAAAL8PGAJ1DI6py+3mopwI0ouPzTzuDiZfSI4kaJ5ZqmJsS72wJM9NbTN4ruy89lsFXcOL73dEFmNLWtP5fERvU2p1keRlbVvuFfsVhcVjYBnQhaXVZ/R53YKr5Cd6yH5v4zt7vv79Byg41sdRKFR2SDRIyBimaOT4FVAAADs=


R0lGODlhbAB6AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABq

AHkAgAAAAL8PGAL/hI+pyxn4mpy02mvj0bj7DzoLF5bmuY3oynok1MYy88LzHdc2zpu62At+fjuhkUIEHpeqS5IZfCqhTOmUarQqtFgU99q9fcFh2ZhcXp3RaZ+6nXvD5fR5aC3B2wF62h7U1xBYNuj3h1FoeIjUkwjlqLgYiQMpVCkoOdmYySbGmfL4yUd1GYdVWhcqiZqxyOp0+Nq6Jws7V2sLh5tL+Leb55r22zHcKdxV7HL6mZw8pMpcJQpqOU0dZX1NmV004+y1yd3d8p3KUn7uLd5Evq7p5s5+gm5mHj/+fP9OrA/c/w8woMCBBNUVNNCH3rYSChcCOogQ3kE9DT3dgTiKIUaKYRslEkzY8SJEkBM9ftQ40uRAjilFlkT58mFLlydhFmQZU+ZNlQJx7rRZU+dPmit5BvQZVGhRoEuVNnV61ChApE/z5VQ2E+pUqf+o9uSqj+RVflmtJjV7FutQrVuJVsXoogAAOw==


R0lGODlhFAA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQATADIAgAAAAL8PGAI/DI6paev8ImjS0Qqxuvpw/WGh2GWld6LpWLGR+8BxOtH1SstWzvenvrEBTT9faUjsIFW4pvNohD6VwiiouioAADs=


R0lGODlhFAA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQATADMAgAAAAL8PGAJAhI95oZ3sIoxq0nebzWBzf4Ehh5GGSKGSebKtq2puB8+xzN6VXfemXsr5fjzhkARcFInHTzOTVBqnyCXziiUVAAA7


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAYABoAgQAAAAAAAP///wECAwJOhH+hG+ivhJxCPRepru2GDUod8oXgmJghWqqn0bpbF8taU9tTps95zwH6hLdfD0fcAYw2ZLICS46YKpYQFdVhU7ItqerF8EThC4xhBhQAADs=


R0lGODlhQwAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABBABoAgQAAAAAAAP///wECAwKdhG+hG+gPI2JMOiWyFsp6iW1aBwbiSX6qeYoNxLao+sXy+Nj39tLwPpsAg77LkKg7copGJS7h5DEPSWWjap0CsMNr1DXlHkPfTM8n7qZ3Z9qaXQYX3zdyub2Kj+gtfE1vxkeEBsghKDcH6KXn9xf3cmimtcUIdTdJ+XV22Oh2KZSFaRnaBNTJRNeZdhomllLi8ip6obMwVzG7YitRAAA7


R0lGODlhFQA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQATADMAgAAAAL8PGAJAhI95oZ3sIoxq0ndr1hvZ/YGdNxphdl6pVJrtyr7yXMKNfdMjzu0twMPUfkHSUCdCJn1KVFP1pBQX0diReR0VAAA7


R0lGODlhRQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABDABoAgQAAAAAAAP///wECAwKghG+hG+gPI2RLOiWyFtV6i22Z4gXiyX0qEqJjM7knvJby/Ji3SNfxvukBdECN0McqBg9E5QiZcy6H0ik0UX02q8faVtrKdldfZ5h7xWZfa+O1bIYrx7Y2R16kg+x3vt7ih7fzt9d2BpZGZagolih40/CIQliHxoiYeGnGZJmpCSQk+eTJOfczSOmVJ3FoRZokQ1Ky1fGacyZL

xmCrQiFRAAA7


R0lGODlhIgBDAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAhAEIAgQAAAAAAAL8PGP///wKuhI+pi8IPk4uUzYrNzXhz6n1PKFoleKIpRK6aO8KmLNFKC+OrvtuN/wO+hLxU8XQUJZVCwPLz5EQ7TWd1WsFmr02tCuiNhAGBsjkwLJUH7PagfFq7529RgI5/ozH3PH5P0ef3VyE4SAfIYHg4l7iwyOjmmAAZyTZ5UGlZp7hJ2OnZ+KBpiWlAGml6GioJgXqoSsZ6GTgbu8p6i7upm8n78UprNwgXJ9dWDHPWm1AAADs=


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAYABoAgQAAAAAAAP///wECAwJOhG+hq+iuhJyyPRSonuGmDQrdk4XgeJTmma4mqrrbGMtUV9sckOtV74v4ZkCdcHgr2o5I0afp5EGjUiSqGiQNr62lh6e0fMGaxZjEGBcAADs=


R0lGODlhPgBSAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAA9AFEAgQAAAAAAAL8PGP///wLhhI+py+0pnpy0xYqzu7p7wH3iFI4mU54qkq5q65pwPM60Z99armN8X/kBJcLhxihDiopKBbPJguKkO2rmacVKtVBu0/u1+sRBctlMRKfVDzDSbYQP5XP20Y7CW/QLes+vAxjI50QIYXiIaCBIwxjj+Ki4KAlCWUkWkKmZmWiVOQAaCsp56Sl6GhpQKhWA6jpAyvr6qio7S2t761qL1KqLq+T7i8prJDx8WtxzjCyqrMPcPNorTUxd7XyNPW28nRrsDQu+/bzsXW5ejQ4Urbu+3A5s+vuuvVsf/OmMT7XJ31MAADs=


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAYABoAgQAAAAAAAP///wECAwJOhG+hq+iuhJyyPRSonvblDQqBF4YjVpZnkqpsa74wOH7zFt20rVN57+MBRULgbygCFHU1ZFLpXC1hK2ivar1hE1PNFqX6Qo7Ei5m7OBcAADs=


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAYABoAgQAAAAAAAP///wECAwJMhG+hq+iuhJyyPRSonvblDQqBF4YjVpZnkqpsa74wOH7zFt20rVN57+MBRUJgbcgBFHVH5GoJezpRvdUBSrsoZ1aSqntZaDpaD6NcAAA7


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAYABsAgQAAAAAAAP///wECAwJOhI8Qya0BBYQuRYEzpjXory2NB5YSQ5qleKQqyLrvF8/qItuhopt4v+IBYbnhZRgqAo/Ik1Ines6izVOryRIuUdsRtPK4ZTsTyQTcQQMKADs=

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/slide0065_image041.gifContent-Transfer-Encoding: base64

Content-Type: image/gif

R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAYABsAgQAAAAAAAP///wECAwJQhI8WyQ0Bg4jLISiy1tC+DW4VI4XmRJ7q+KknW7pmFcshba9tfte86PtlMEIQscgJChdKHhPJ2RVHTRkVyZLmsloXV7H1HHueA2USKTu+iAIAOw==


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAYABoAgQAAAAAAAP///wECAwJMhG+hu+iohJwzPBeorvbmDQodFJYj8JXgmapb17oaLJtoHUb4Gu+S7qMAg7+ez2LEIYmVG3OUdEGfpOMj+ro4pdpEVNGFABthD7hbAAA7


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAYABoAgQAAAAAAAP///wECAwJNhI8WyQ0Bg4jLISiy1tC+DW4VI4XmRJ7q+KknW7pmFcshba9tfu+8WPtxgsIJUbg48pJFka/IbKIU0pHSxXraslpd4+q0YF7cL4XSKAAAOw==



<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0069.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Another View of Insertion"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]>

<style media=3Dprint></style><style></style><script src=3Dscript.js></script><script></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"101"/> <o:regrouptable v:ext=3D"edit"> <o:entry new=3D"1" old=3D"0"/> </o:regrouptable></o:shapelayout></head>


<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;width:534px;height:400px;font-size:16px;background-color:#CCCCE6;clip:rect(=0%, 101%, 101%, 0%);visibility:hidden'><p:slide coordsize=3D"720,540" colors=3D"#FFFFFF,#000000,#00007D,#000000,#9999FF,#9999CC,#666699,#CCCCE6" masterhref=3D"master04.xml"> <p:shaperange href=3D"master04.xml#_x0000_s106497"/><![if !ppt]><p:shapera=nge href=3D"master04.xml#_x0000_s106498"/><p:shaperange href=3D"master04.xml#_x0000_s106499"/> <div v:shape=3D"_x0000_s106499" class=3DO> <div style=3D'text-align:right;mso-char-wrap:1;mso-kinsoku-overflow:1; position:absolute;top:94.0%;left:72.65%;width:21.53%;height:3.5%'><span style=3D'font-family:"Arial Black";font-size:50%;mso-field-code:meta16'>19=</span><span style=3D'font-family:"Arial Black";font-size:50%;mso-special-format:lastCR; display:none'> </span></div> </div> <p:shaperange href=3D"master04.xml#_x0000_s106500"/><![if !vml]><img borde=r=3D0 v:shapes=3D"_x0000_s106500,_x0000_s106501,_x0000_s106502,_x0000_s106503,_x=0000_s106504,_x0000_s106505,_x0000_s106506,_x0000_s106507,_x0000_s106508,_x=0000_s106509" src=3D"master04_image001.gif" style=3D'position:absolute;top:0%;left:0%; width:100.37%;height:8.5%'><![endif]><p:shaperange href=3D"master04.xml#_x0000_s106512"/><![endif]><p:shaperange href=3D"master04.xml#_x0000_m106510"/><v:shape id=3D"_x0000_s103426" type==3D"#_x0000_m106510" style=3D'position:absolute;left:36pt;top:36pt;width:9in;height:57.25pt'

o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"title"/></v:shape> <div v:shape=3D"_x0000_s103426" class=3DT style=3D'position:absolute;top:8=.0%; left:5.99%;width:88.2%;height:8.5%'>Another View of Insertion</div> <p:shaperange href=3D"master04.xml#_x0000_m106511"/><v:shape id=3D"_x0000_=s103427" type=3D"#_x0000_m106511" style=3D'position:absolute;left:28.375pt;top:96.=75pt; width:669pt;height:187.125pt' o:userdrawn=3D"f"> <v:fill o:detectmouseclick=3D"f"/> <v:stroke o:forcedash=3D"f"/> <o:lock v:ext=3D"edit" text=3D"f"/> <p:placeholder type=3D"body" position=3D"1"/><p:animation number=3D"2" de=lay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"17408"/></v=:shape> <div v:shape=3D"_x0000_s103427" class=3DB style=3D'position:absolute;top:1=8.5%; left:4.86%;width:105.61%;height:32.25%'> <div id=3D"_x0000_s103427_0_13" style=3D'mso-line-spacing:"90 20 0";positi=on:absolute; top:0%;left:0%;width:86.17%;height:16.27%;white-space:nowrap'><span style=3D'position:absolute;top:0%;left:4.11%;width:95.88%;height:100.0%'><=span style=3D'font-size:75%'><span style=3D'mso-special-format:bullet;color:#99=99CC; mso-color-index:5;position:absolute;left:-4.29%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span></span><span style=3D'font-size:75%'>Enlarge heap </span></span></div> <div id=3D"_x0000_s103427_13_54" style=3D'mso-line-spacing:"90 20 0";posit=ion: absolute;top:17.82%;left:0%;width:86.17%;height:16.27%;white-space:nowrap'=><span style=3D'position:absolute;top:0%;left:4.11%;width:95.88%;height:100.0%'><=span style=3D'font-size:75%'><span style=3D'mso-special-format:bullet;color:#99=99CC; mso-color-index:5;position:absolute;left:-4.29%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span></span><span style=3D'font-size:75%'>Consider p=ath from root to inserted node </span></span></div> <div id=3D"_x0000_s103427_54_140" style=3D'mso-line-spacing:"90 20 0";posi=tion: absolute;top:36.43%;left:0%;width:100.0%;height:31.0%;white-space:nowrap'>=<span style=3D'position:absolute;top:0%;left:3.54%;width:96.45%;height:52.5%'><s=pan style=3D'font-size:75%'><span style=3D'mso-special-format:bullet;color:#99=99CC; mso-color-index:5;position:absolute;left:-3.67%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span></span><span style=3D'font-size:75%'>Find topmo=st element on this path with higher priority that </span></span><span style=3D'position:absolute;top:47.5%;left:3.54%;width:82.62%;height:52.5%'=><span style=3D'font-size:75%'>that of inserted element. </span></span></div> <div id=3D"_x0000_s103427_140_225" style=3D'mso-line-spacing:"90 20 0";pos=

ition: absolute;top:68.99%;left:0%;width:95.56%;height:31.0%;white-space:nowrap'>=<span style=3D'position:absolute;top:0%;left:3.71%;width:96.28%;height:52.5%'><s=pan style=3D'font-size:75%'><span style=3D'mso-special-format:bullet;color:#99=99CC; mso-color-index:5;position:absolute;left:-3.85%;top:.3em;font-family:Wingd=ings; font-size:75%'>¨</span></span><span style=3D'font-size:75%'>Insert new element at this location by shifting down the </span></span><span style=3D'position:absolute;top:47.5%;left:3.71%;width:86.45%;height:52.5%'=><span style=3D'font-size:75%'>other elements on the path </span></span></div> </div> <v:line id=3D"_x0000_s103429" style=3D'position:absolute;flip:x;v-text-anc=hor:middle' from=3D"334.25pt,264.125pt" to=3D"427.25pt,331.625pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s103430" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"433.5pt,264.125pt" to=3D"545.125pt,331.625pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103429,_x0000_s10=3430" src=3D"slide0069_image044.gif" style=3D'position:absolute;top:48.75%;left:=46.44%; width:29.77%;height:13.0%'><![endif]><v:line id=3D"_x0000_s103431" style==3D'position:absolute; v-text-anchor:middle' from=3D"551.375pt,331.625pt" to=3D"613.5pt,419.375p=t" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103431" src=3D"slide0069_image045.gif" style=3D'position:absolute;top:61.25%;left:=76.59%; width:8.98%;height:16.75%'><![endif]><v:line id=3D"_x0000_s103432" style==3D'position:absolute; flip:x;v-text-anchor:middle' from=3D"272.25pt,331.625pt" to=3D"328.125pt,=419.375pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s103433" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"334.25pt,331.625pt" to=3D"383.75pt,419.375pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s103434" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"278.5pt,426.25pt" to=3D"303.25pt,493.75pt" o:regroupid=3D"1" stro=kecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:line id=3D"_x0000_s103435" style=3D'position:absolute;v-text-a=nchor:middle' from=3D"390.125pt,426.25pt" to=3D"414.75pt,493.75pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103432,_x0000_s103433,_x0000_s103434,_x0000_s103435" src=3D"slide0069_image046.gif" style=3D'position:absolute;top:61.25%;left:=37.82%; width:20.22%;height:30.5%'><![endif]><v:line id=3D"_x0000_s103436" style=

=3D'position:absolute; v-text-anchor:middle' from=3D"495.5pt,426.25pt" to=3D"520.25pt,493.75pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> <p:animation number=3D"4" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"17412"/></v:line><![if !vml]><img border==3D0 v:shapes=3D"_x0000_s103436" src=3D"slide0069_image047.gif" style=3D'positi=on:absolute; top:78.75%;left:68.72%;width:3.93%;height:13.0%'><![endif]><v:line id=3D"_=x0000_s103437" style=3D'position:absolute;flip:x;v-text-anchor:middle' from=3D"464.5pt,4=33pt" to=3D"489.375pt,500.625pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103437" src=3D"slide0069_image048.gif" style=3D'position:absolute;top:80.0%;left:6=4.41%; width:3.93%;height:13.0%'><![endif]><v:oval id=3D"_x0000_s103438" style=3D='position:absolute; left:507.875pt;top:480.25pt;width:31.125pt;height:33.875pt;mso-wrap-style=:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> <p:animation number=3D"3" delay=3D"0" type=3D"object" effect=3D"cut" direction=3D"noBlack" flag=3D"16384"/></v:oval><![if !vml]><img border==3D0 v:shapes=3D"_x0000_s103438" src=3D"slide0069_image049.gif" style=3D'positi=on:absolute; top:88.75%;left:70.41%;width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_=x0000_s103439" style=3D'position:absolute;left:452.125pt;top:480.25pt;width:31.125pt;hei=ght:33.875pt; mso-wrap-style:none;v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"=white [0]" strokecolor=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><v:oval id=3D"_x0000_s103440" style=3D'position:absolute;left:396=.25pt; top:480.25pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103439,_x0000_s10=3440" src=3D"slide0069_image050.gif" style=3D'position:absolute;top:88.75%;left:=55.05%; width:12.54%;height:6.75%'><![endif]><v:line id=3D"_x0000_s103441" style==3D'position:absolute; flip:x;v-text-anchor:middle' from=3D"359.125pt,426.25pt" to=3D"384pt,493.=75pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103441" src=3D"slide0069_image051.gif" style=3D'position:absolute;top:78.75%;left:=49.81%; width:3.93%;height:13.0%'><![endif]><v:oval id=3D"_x0000_s103442" style=3D='position:absolute; left:284.625pt;top:480.25pt;width:31pt;height:33.875pt;mso-wrap-style:non=e; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/>

</v:oval><v:oval id=3D"_x0000_s103443" style=3D'position:absolute;left:343=.5pt; top:480.25pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103442,_x0000_s10=3443" src=3D"slide0069_image052.gif" style=3D'position:absolute;top:88.75%;left:=39.51%; width:12.92%;height:6.75%'><![endif]><v:line id=3D"_x0000_s103444" style==3D'position:absolute; flip:x;v-text-anchor:middle' from=3D"247.375pt,426.25pt" to=3D"272.25pt,4=93.75pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><v:oval id=3D"_x0000_s103445" style=3D'position:absolute;left:228=.75pt; top:480.25pt;width:31.125pt;height:33.875pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103444,_x0000_s10=3445" src=3D"slide0069_image053.gif" style=3D'position:absolute;top:78.75%;left:=31.64%; width:6.36%;height:16.75%'><![endif]><v:oval id=3D"_x0000_s103446" style==3D'position:absolute; left:594.875pt;top:405.875pt;width:31.125pt;height:34pt;mso-wrap-style:no=ne; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103446" src=3D"slide0069_image054.gif" style=3D'position:absolute;top:75.0%;left:8=2.58%; width:4.68%;height:6.75%'><![endif]><v:line id=3D"_x0000_s103447" style=3D='position:absolute; flip:x;v-text-anchor:middle' from=3D"495.5pt,331.625pt" to=3D"557.5pt,419=.375pt" o:regroupid=3D"1" strokecolor=3D"#bf0f18"> <v:shadow color=3D"#00007d [2]"/> </v:line><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103447" src=3D"slide0069_image055.gif" style=3D'position:absolute;top:61.25%;left:=68.72%; width:8.98%;height:16.75%'><![endif]><v:oval id=3D"_x0000_s103448" style==3D'position:absolute; left:476.75pt;top:405.875pt;width:31.125pt;height:34pt;mso-wrap-style:non=e; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103448" src=3D"slide0069_image056.gif" style=3D'position:absolute;top:75.0%;left:6=6.1%; width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_x0000_s103449" style=3D='position:absolute; left:371.5pt;top:405.875pt;width:31.25pt;height:34pt;mso-wrap-style:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103449" src=3D"slide0069_image057.gif" style=3D'position:absolute;top:75.0%;left:5=1.49%;

width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_x0000_s103450" style=3D='position:absolute; left:259.75pt;top:405.875pt;width:31.125pt;height:34pt;mso-wrap-style:non=e; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103450" src=3D"slide0069_image058.gif" style=3D'position:absolute;top:75.0%;left:3=5.95%; width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_x0000_s103451" style=3D='position:absolute; left:315.625pt;top:317.875pt;width:31pt;height:33.875pt;mso-wrap-style:no=ne; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103451" src=3D"slide0069_image059.gif" style=3D'position:absolute;top:58.75%;left:=43.82%; width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_x0000_s103452" style=3D='position:absolute; left:538.875pt;top:317.875pt;width:31.125pt;height:33.875pt;mso-wrap-styl=e:none; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103452" src=3D"slide0069_image060.gif" style=3D'position:absolute;top:58.75%;left:=74.71%; width:4.68%;height:6.75%'><![endif]><v:oval id=3D"_x0000_s103453" style=3D='position:absolute; left:414.75pt;top:243.75pt;width:31.25pt;height:33.875pt;mso-wrap-style:n=one; v-text-anchor:middle' o:regroupid=3D"1" fillcolor=3D"white [0]" strokecol=or=3D"black [1]"> <v:shadow color=3D"#00007d [2]"/> </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s103453" src=3D"slide0069_image061.gif" style=3D'position:absolute;top:45.0%;left:5=7.49%; width:4.68%;height:6.75%'><![endif]> <div v:shape=3D"_x0000_s103453" class=3DO style=3D'text-align:center;mso-c=har-wrap: 1;mso-kinsoku-overflow:1'><span style=3D'position:absolute;top:44.0%;left:=58.98%; width:1.68%;height:9.25%'><span style=3D'font-family:Arial;mso-ascii-font-=family: Arial;mso-bidi-font-family:Arial;font-size:183%;color:#BF0F18;mso-special-=format: lastCR;display:none'><b><i> </i></b></span></span></div> <v:shapetype id=3D"_x0000_t202" coordsize=3D"21600,21600" o:spt=3D"202" pa=th=3D"m,l,21600r21600,l21600,xe"> <v:stroke joinstyle=3D"miter"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> </v:shapetype><v:shape id=3D"_x0000_s103454" type=3D"#_x0000_t202" style==3D'position:absolute; left:410.25pt;top:245.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s103455" type=3D"#_x0000_t202" style=3D'po=

sition:absolute; left:256.25pt;top:404.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div v:shape=3D"_x0000_s103454" class=3DO style=3D'position:absolute;top:4=6.5%; left:58.05%;width:4.11%;height:5.25%'>11</div> <div v:shape=3D"_x0000_s103455" class=3DO style=3D'position:absolute;top:7=6.0%; left:36.51%;width:4.11%;height:5.25%'>18</div> <v:shape id=3D"_x0000_s103456" type=3D"#_x0000_t202" style=3D'position:abs=olute; left:471.25pt;top:406.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div id=3D"_x0000_s103456_AllText" v:shape=3D"_x0000_s103456" class=3DO style=3D'position:absolute;top:76.25%;left:66.47%;width:4.11%;height:5.25%; white-space:nowrap'> <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:100.0%'=>19</div> </div> <v:shape id=3D"_x0000_s103457" type=3D"#_x0000_t202" style=3D'position:abs=olute; left:369.25pt;top:404.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s103458" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:311.25pt;top:315.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div v:shape=3D"_x0000_s103457" class=3DO style=3D'position:absolute;top:7=6.0%; left:52.24%;width:4.11%;height:5.25%'>21</div> <div v:shape=3D"_x0000_s103458" class=3DO style=3D'position:absolute;top:5=9.5%; left:44.19%;width:4.11%;height:5.25%'>17</div> <v:shape id=3D"_x0000_s103459" type=3D"#_x0000_t202" style=3D'position:abs=olute; left:534.25pt;top:317.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/>

<v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div id=3D"_x0000_s103459_AllText" v:shape=3D"_x0000_s103459" class=3DO style=3D'position:absolute;top:59.75%;left:75.28%;width:4.11%;height:5.25%;=

white-space:nowrap'> <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:100.0%'=>13</div> </div> <v:shape id=3D"_x0000_s103460" type=3D"#_x0000_t202" style=3D'position:abs=olute; left:281.25pt;top:478.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s103461" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:340.25pt;top:479.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s103462" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:393.25pt;top:479.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s103463" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:448.25pt;top:478.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape><v:shape id=3D"_x0000_s103464" type=3D"#_x0000_t202" style=3D'po=sition:absolute; left:224.25pt;top:479.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div v:shape=3D"_x0000_s103460" class=3DO style=3D'position:absolute;top:8=9.75%; left:40.07%;width:4.11%;height:5.25%'>23</div> <div v:shape=3D"_x0000_s103461" class=3DO style=3D'position:absolute;top:8=9.75%; left:48.31%;width:4.11%;height:5.25%'>26</div> <div v:shape=3D"_x0000_s103462" class=3DO style=3D'position:absolute;top:8=9.75%; left:55.61%;width:4.11%;height:5.25%'>29</div>

<div v:shape=3D"_x0000_s103463" class=3DO style=3D'position:absolute;top:8=9.75%; left:63.29%;width:4.11%;height:5.25%'>31</div> <div v:shape=3D"_x0000_s103464" class=3DO style=3D'position:absolute;top:8=9.75%; left:32.2%;width:4.11%;height:5.25%'>43</div> <v:shape id=3D"_x0000_s103465" type=3D"#_x0000_t202" style=3D'position:abs=olute; left:639pt;top:245.625pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div id=3D"_x0000_s103465_AllText" v:shape=3D"_x0000_s103465" class=3DO style=3D'position:absolute;top:46.5%;left:89.7%;width:4.11%;height:5.25%; white-space:nowrap'> <div style=3D'position:absolute;top:0%;left:0%;width:100.0%;height:100.0%'=>12</div> </div> <v:shape id=3D"_x0000_s103467" type=3D"#_x0000_t202" style=3D'position:abs=olute; left:591.25pt;top:404.75pt;width:38.5pt;height:36pt;mso-wrap-style:none; v-text-anchor:top-baseline' o:regroupid=3D"1" filled=3D"f" fillcolor=3D"#=99f [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]"/> <v:shadow color=3D"#00007d [2]"/> <v:textbox style=3D'mso-fit-shape-to-text:t'/> </v:shape> <div v:shape=3D"_x0000_s103467" class=3DO style=3D'position:absolute;top:7=6.0%; left:83.14%;width:4.11%;height:5.25%'>17</div></p:slide></div>

<p:animation number=3D"594019840"/><oa:par id=3D"TimeNode0" dur=3D"indefini=te" restart=3D"never" p:nodeType=3D"timingRoot"> <oa:seq id=3D"TimeNode1" dur=3D"indefinite" prev=3D"document.onpptprev" next=3D"document.onpptnext" concurrent=3D"enabled" nextAction=3D"seek" p:nodeType=3D"mainSeq"> <oa:par id=3D"TimeNode2" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode3" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode4" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode5" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s103427_0_13" attributeName=3D"style.visibili=ty" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode6" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode7" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode8" o:presetID=3D"ppt_1" o:presetClass=3D"entrance" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode9" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s103438" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par>

<oa:par id=3D"TimeNode10" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"with=Effect"> <oa:set id=3D"TimeNode11" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s103436" attributeName=3D"style.visibility" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode12" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode13" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode14" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode15" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s103427_13_54" attributeName=3D"style.visibil=ity" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode16" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode17" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode18" o:presetID=3D"ppt_7" o:presetClass=3D"emphasi=s" o:presetSubType=3D"0x1" begin=3D"0.0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode19" dur=3D"indefinite" targetElement=3D"_x0000_s=103438" attributeName=3D"stroke.color" to=3D"#9999cc [5]"/> <oa:set id=3D"TimeNode20" dur=3D"indefinite" targetElement=3D"_x0000_s=103438" attributeName=3D"stroke.on" to=3D"true"/> </oa:par> <oa:par id=3D"TimeNode21" o:presetID=3D"ppt_7" o:presetClass=3D"emphasi=s" o:presetSubType=3D"0x1" begin=3D"0.0" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode22" dur=3D"indefinite" targetElement=3D"_x0000_s=103448" attributeName=3D"stroke.color" to=3D"#9999cc [5]"/> <oa:set id=3D"TimeNode23" dur=3D"indefinite" targetElement=3D"_x0000_s=103448" attributeName=3D"stroke.on" to=3D"true"/> </oa:par> <oa:par id=3D"TimeNode24" o:presetID=3D"ppt_7" o:presetClass=3D"emphasi=s" o:presetSubType=3D"0x1" begin=3D"0.0" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode25" dur=3D"indefinite" targetElement=3D"_x0000_s=103453" attributeName=3D"stroke.color" to=3D"#9999cc [5]"/> <oa:set id=3D"TimeNode26" dur=3D"indefinite" targetElement=3D"_x0000_s=103453" attributeName=3D"stroke.on" to=3D"true"/> </oa:par> <oa:par id=3D"TimeNode27" o:presetID=3D"ppt_7" o:presetClass=3D"emphasi=s" o:presetSubType=3D"0x1" begin=3D"0.0" p:nodeType=3D"withEffect"> <oa:set id=3D"TimeNode28" dur=3D"indefinite" targetElement=3D"_x0000_s=103452" attributeName=3D"stroke.color" to=3D"#9999cc [5]"/> <oa:set id=3D"TimeNode29" dur=3D"indefinite" targetElement=3D"_x0000_s=103452" attributeName=3D"stroke.on" to=3D"true"/>

</oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode30" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode31" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode32" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode33" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s103427_54_140" attributeName=3D"style.visibi=lity" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode34" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode35" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode36" o:presetID=3D"ppt_1" o:presetClass=3D"emphasi=s" o:presetSubType=3D"0x1" begin=3D"0.0" p:nodeType=3D"clickEffect"> <oa:set id=3D"TimeNode37" dur=3D"indefinite" targetElement=3D"_x0000_s=103452" attributeName=3D"fillcolor" to=3D"#9999cc [5]"/> <oa:set id=3D"TimeNode38" dur=3D"indefinite" targetElement=3D"_x0000_s=103452" attributeName=3D"fill.type" to=3D"solid"/> <oa:set id=3D"TimeNode39" dur=3D"indefinite" targetElement=3D"_x0000_s=103452" attributeName=3D"fill.on" to=3D"true"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode40" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode41" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode42" o:presetID=3D"ppt_1" o:presetClass=3D"entranc=e" o:presetSubType=3D"0x0" begin=3D"0.0" fill=3D"hold" p:nodeType=3D"clic=kEffect"> <oa:set id=3D"TimeNode43" begin=3D"0.0" dur=3D"0.001" fill=3D"hold" targetElement=3D"_x0000_s103427_140_225" attributeName=3D"style.visib=ility" to=3D"visible"/> </oa:par> </oa:par> </oa:par> <oa:par id=3D"TimeNode44" begin=3D"indefinite" fill=3D"hold"> <oa:par id=3D"TimeNode45" begin=3D"0.0" fill=3D"hold"> <oa:par id=3D"TimeNode46" o:presetID=3D"ppt_0" o:presetClass=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"clickEffect"> <oa:animateMotion id=3D"TimeNode47" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s103456" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M -0.00035 0.0007 L 0.04566 0.13388 " pptPathEditMode=3D"rela=tive" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode48" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect">

<oa:animateMotion id=3D"TimeNode49" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s103456_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M -0.00035 0.0007 L 0.04566 0.13388 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![endif]><oa:par id=3D"TimeNode50" o:presetID=3D"ppt_0" o:presetClass==3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"0" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode51" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s103459" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M -0.00382 0.0067 L -0.08785 0.16532 " pptPathEditMode=3D"rel=ative" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode52" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode53" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s103459_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M -0.00382 0.0067 L -0.08785 0.16532 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![endif]><oa:par id=3D"TimeNode54" o:presetID=3D"ppt_0" o:presetClass==3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" o:groupID=3D"1" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode55" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s103465" attributeName=3D"ppt_x,ppt_y" origin==3D"layout" path=3D"M 0.0 0.0 L -0.14288 0.1311 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![if !ppt]><oa:par id=3D"TimeNode56" o:presetID=3D"ppt_0" o:presetClas=s=3D"path" o:presetSubType=3D"0x0" begin=3D"0.0" accelerate=3D"0.5" decelerate=3D="0.5" fill=3D"hold" p:nodeType=3D"withEffect"> <oa:animateMotion id=3D"TimeNode57" dur=3D"2.0" fill=3D"hold" targetElement=3D"_x0000_s103465_AllText" attributeName=3D"ppt_x,ppt_y" origin=3D"layout" path=3D"M 0.0 0.0 L -0.14288 0.1311 " pptPathEditMode=3D"relative" o:pointsTypes=3D"AA"/> </oa:par> <![endif]></oa:par> </oa:par> </oa:seq></oa:par><![if ppt]><oa:buildParagraph targetElement=3D"_x0000_s103456" groupID=3D"0" build=3D"=asAWhole" buildLevel=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd==3D"false"/><oa:buildParagraph targetElement=3D"_x0000_s103459" groupID=3D"0" build=3D"asAWhole" buildLev=el=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/><oa:b=uildParagraph targetElement=3D"_x0000_s103465" groupID=3D"1" build=3D"asAWhole" buildLev=el=3D"1" reverse=3D"false" buildAdvance=3D"onclick" userSetAnimBgd=3D"false"/>

<![endif]></body>

</html>


R0lGODlhnwA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACdADMAgAAAAL8PGALqhI+py+1vApKw2ouz3jzR+XXiSJbmEXrnyrZtkCqwS9f2EzfzzfdsjvMJh5pdEUhMEpEXo/Lpc46Y0GqJupFat9Oalgu2fH/hslg4NpuxL7Zamea53+htnB6dy/X4FT/at4R3F3j1l0RYyHEIxajIkLjm+IhCuRBpqZJ5uSk2Kdnp8Ek3GlZKetqYOrg61Br4eoMZehnrYvs4C0frh8r7g7v4S6PrNWwTXFF8nLF8xZznmgytKUeNmDx9DRnrvG3Sqv2Ncyo+DuENkH7+IswO2mT+3swmP58VdA+bs66PFmLPHwkKAQUODFAAADs=


R0lGODlhMABDAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAuAEEAgAAAAL8PGAJ0DI6py+1gnpwy0ouPzfztDipfGI4kaJ5cql5sS71wNZd1J99Mros9xvtphC7iJChE/pQ95s35NB6lHmrV2oDWtDBuF5sFL7wtssp8QtvEPnZCjXK/5Qh4nG7H0Yf4PcSflxEoCFjYtzcIhGh42OiWWLSIVwAAOw==


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


R0lGODlhFQA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAATADMAgAAAAL8PGAJADI6paOva3oty0Qqxuxrw/mGh2GUlcyajtE4p+rbbe8gW7dG2Gev+n9rxTkJY7xjEFWvAJNIJJSqbpSXzKcWCCgA7


R0lGODlhFAA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQATADIAgAAAAL8PGAJAhI95oZ3sHIxt0neVzWZzf4Ehh5GduaCASLGRW6mrDGu0Wtv4zqM58gPefENTMNUjHU/JT1H5hBKbzqnVSM0UAAA7


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAYABoAgQAAAAAAAP///wECAwJMhI+hiu2whJTstTDzrE/pT3XgKAQORoLmgabfarSutspzVt+jp6t2T/kBeUCcsEcsho43E3PmVIZiUthzdxmKmrCsq9s5ciyshdlSAAA7


R0lGODlhQwAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABBABoAgQAAAAAAAP///wECAwKbhH+hiu0P3wpRKoExq7yuLCxdAJYh1aXGZWab1Jqo6sUybJcz7ZC53vD9QDveaghMIG9G5dLlfGqaR+kUILSGqFkppettgp9fLdQ4JqeRxdSabT7z3kP6rz2Ka/RbNJ9lhsdhlwOoJVgTV6bIxUjYgjjIiBVIRXkYRWZZFZbJtsn5GaQJGloIYQgZ6XcnGbPKlfbiMTFRSlsrWAAAOw==


R0lGODlhFQA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQATADIAgAAAAL8PGAI/hI95oZ3sHIxt0neVzWZn/3GY2JGLWZrgtUatiwJvFc+0Wuc4ao/7L+r5SMIT74gEcopGZShJhAalS12UmikAADs=


R0lGODlhRQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABDABoAgQAAAAAAAP///wECAwKehH+hiu0P42LRKYHxqryvrAVeAJaC2KUNaWbUw7YgqqaxrMG4SdfSXuoBbsCcD0Is0pLF09HSDCai0ieCqRxSeVYDNvvNdsPAy3bW1Z5d5J2w1nbHceP1bC572+xsvtOK12Jmp7fnN7hWaEgYWAV4qJaY1ujiRZhmKZlJpQinuRnV6ckJFYq5QmrRJvq02ol4d4qE9cIxMSFre1uLUAAAOw==


R0lGODlhIgBDAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAhAEEAgQAAAAAAAL8PGP///wKohI+pi8IPk4t0zYrPzXjz6H1QKDJkKaHUqRpsC7ytjNI1/NiivuOW/wOmhBpiw1hE8j5LTrODdEWf0Kn1qsQaqatoDBcIh5Ml8eB8DnMBAbQbPf6E3/Q0p13PBzL4fH1P0edHBxghOPhWyHCI6Ka4wNgI9xApabdoqUeZ+bfJmej5OYkpOkpa+phQKZmKsIrYqooaKBqr8Ep4ZxnH12hrWMmLIkb8u1AAADs=


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAYABoAgQAAAAAAAP///wECAwJOhH+hiu2mhJTrtTgztVB7GjzBR4YXiZodmiZsu75fOMolUNserZd5n8EAg7+hQGg8FoG85DE2NC1tKpyxau1hcdMZpxvkQLoMcWKBthQAADs=


R0lGODlhMABDAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAvAEIAgAAAAL8PGAJ1hI+pyw3hopRw2nsq3k7zn3jg+JCmaG5oeq2s5b5RLDd0zdx4uLe9/6MEhcNOcXa0JXNLZpP3ROiCU2pUes1ktdtqz7sDh7elLrmcFdfUazL79WbF5e66PX2/zlN7Un/0B5gXFfhRaDj4dMixiNEIZBaJR1YAADs=


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAYABoAgQAAAAAAAP///wECAwJNhI+hiu2whJTspTDzrA/rT3XgKASOR37mgabaCrnk2soZbY9Krtc85fvtfq8gb0jcxJIhowzHhDlT0iTMMFWJbNdGtmRhGTlh7OJsKQAAOw==


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAYABoAgQAAAAAAAP///wECAwJMhI+hiu2whJTspTDzrA/rT3XgKASOR37mgabaCrnk2soZbY9Krtc85fvtfq8gb0jcGHOmpQuXLLGiMKeuYX2JbBysDGZBFi2nhdlSAAA7


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAYABoAgQAAAAAAAP///wECAwJMhI+hiu2whJTstTDzrE/pT3XgKAQORoLmgabfarSutspzVt+jp6t2T/kBeUCcsEcsho43E3PmVIZiUthzdxmKmrCsq9s5ciyshdlSAAA7


R0lGODlhGQAcAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAYABoAgQAAAAAAAP///wECAwJNhG+hG+ivhJxCPUiztBcEDVbXF2qNQ5Ymkqpr4oZnG2cNXU93Du687fmZcL+IUBc8bpJKXxN2PDGLLKH0QCxdsTXOyLUdEb0dFoPsKAAAOw==


R0lGODlhGQAcAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAYABoAgQAAAAAAAP///wECAwJNhH+hi+2ghJzspTBzDhbqTz0YSHLNSIKmgabf2rovK6dmXG94Tu28EPm9fLygUHfUcIi1ZVJyewITT1hyRfthqbktwljqXIbezqLyKAAAOw==


R0lGODlhGQAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAYABoAgQAAAAAAAP///wECAwJNhH+hi+2ghJzspTBzDhbqTz0YSHLNSIKmgabf2rovK6dmXG94Tu28EPm9fLygUHfUcIi1ZVJyewITT1hyRfthqbktwljqXFTezuJsKQAAOw==


<html xmlns:v=3D"urn:schemas-microsoft-com:vml"xmlns:o=3D"urn:schemas-microsoft-com:office:office"xmlns:p=3D"urn:schemas-microsoft-com:office:powerpoint"xmlns:oa=3D"urn:schemas-microsoft-com:office:activation"

xmlns=3D"http://www.w3.org/TR/REC-html40">

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0117.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Correctness of Insertion"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><style></style><script src=3Dscript.js></script><script></script><script><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0078.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Heapify"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0070.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Heapify"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint>

</style><style></style><script src=3Dscript.js></script><script></script><script><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0122.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Another View of Heapify"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style>

<style></style><script src=3Dscript.js></script><script></script><script><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\slide0126.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DDescription content=3D"3/18/2005: Running time Analysis"><link rel=3DStylesheet href=3D"master04_stylesheet.css"><![if !ppt]><style media=3Dprint></style><style></style><script src=3Dscript.js></script><script></script><script></script><![endif]><o:shapelayout v:ext=3D"edit"> <o:idmap v:ext=3D"edit" data=3D"20"/></o:shapelayout></head>

<body><p:colorscheme colors=3D"#FFFFFF,#000000,#808080,#000000,#BBE0E3,#333399,#009999,#99CC00"=/><v:background id=3D"_x0000_s20481" o:bwmode=3D"white" fillcolor=3D"white [0]"> <v:fill color2=3D"#339 [5]"/></v:background><v:shapetype id=3D"_x0000_s20482" style=3D'position:absolute=;left:0; top:0;width:234pt;height:36pt' coordsize=3D"21600,21600" o:master=3D"" o:s=pt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#bbe0e3 [4]" =stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"header" size=3D"quarter"/></v:shapetype>

<div v:shape=3D"_x0000_s20482" class=3DO><span style=3D'font-size:50%;mso-f=ield-code:meta14'>‹header›</span><span style=3D'font-size:50%;mso-special=-format:lastCR'> </span></div>

<v:shapetype id=3D"_x0000_s20483" style=3D'position:absolute;left:306pt;top=:0; width:234pt;height:36pt' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"=1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black =[1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"dateTime" position=3D"1"/></v:shapetype>

<div v:shape=3D"_x0000_s20483" class=3DO style=3D'text-align:right'><span l=ang=3DEN-USstyle=3D'font-size:50%;mso-field-code:meta0'>‹date/time›</span>=<spanstyle=3D'font-size:50%;mso-special-format:lastCR'> </span></div>

<v:shapetype id=3D"_x0000_s20484" style=3D'position:absolute;left:90pt;top:=54pt; width:5in;height:270pt;v-text-anchor:middle' coordsize=3D"21600,21600" o:m=aster=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe"> <v:fill o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter"/> <v:shadow obscured=3D"t"/> <v:path gradientshapeok=3D"t" fillok=3D"f" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" text=3D"t"/> <p:placeholder type=3D"slideImage" position=3D"2"/></v:shapetype><v:shapet=ype id=3D"_x0000_s20485" style=3D'position:absolute;left:1in;top:342pt;width:3=96pt; height:324pt' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"=m,l,21600r21600,l21600,xe" filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black =[1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/>

<v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"body" position=3D"3" size=3D"quarter"/></v:shapetyp=e>

<div v:shape=3D"_x0000_s20485">

<div class=3DN><span style=3D'font-family:Times;mso-ascii-font-family:Times='>Clickto edit Master text styles </span></div>

<div class=3DN1><span style=3D'font-family:Times;mso-ascii-font-family:Time=s'>Secondlevel </span></div>

<div class=3DN2><span style=3D'font-family:Times;mso-ascii-font-family:Time=s'>Thirdlevel </span></div>

<div class=3DN3><span style=3D'font-family:Times;mso-ascii-font-family:Time=s'>Fourthlevel </span></div>

<div class=3DN4><span style=3D'font-family:Times;mso-ascii-font-family:Time=s'>Fifthlevel</span></div>

</div>

<v:shapetype id=3D"_x0000_s20486" style=3D'position:absolute;left:0;top:684=pt; width:234pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" =fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"footer" position=3D"4" size=3D"quarter"/></v:shapet=ype>

<div v:shape=3D"_x0000_s20486" class=3DO><span style=3D'font-size:50%;mso-f=ield-code:meta15'>‹footer›</span><span style=3D'font-size:50%;mso-special=-format:lastCR'> </span></div>

<v:shapetype id=3D"_x0000_s20487" style=3D'position:absolute;left:306pt;top=:684pt; width:234pt;height:36pt;v-text-anchor:bottom' coordsize=3D"21600,21600" o:master=3D"" o:spt=3D"1" path=3D"m,l,21600r21600,l21600,xe" filled=3D"f" =fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]"> <v:fill color2=3D"white [0]" o:detectmouseclick=3D"t"/> <v:stroke joinstyle=3D"miter" o:forcedash=3D"t"/> <v:shadow color=3D"gray [2]"/> <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" grouping=3D"t"/> <p:placeholder type=3D"slideNumber" position=3D"5" size=3D"quarter"/></v:s=hapetype>

<div v:shape=3D"_x0000_s20487" class=3DO style=3D'text-align:right'><spanstyle=3D'font-size:50%;mso-field-code:meta16'>‹#›</span><spanstyle=3D'font-size:50%;mso-special-format:lastCR'> </span></div>

</body>

</html>

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/master04_stylesheet.cssContent-Transfer-Encoding: base64Content-Type: text/css

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

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/script.jsContent-Transfer-Encoding: quoted-printableContent-Type: application/javascript; charset="us-ascii"

function LoadSld(){

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

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

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

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

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

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

FullScrInit();=09

MakeSldVis();ChkAutoAdv()

if( runAnimations ){

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

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

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

elsedocument.body.start();

}}function MakeSldVis(){

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

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

}SlideObj.filters.revealtrans.Apply()

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

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

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

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

}return 1

}function ChkAutoAdv(){

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

elseAutoAdv()

}function AutoAdv()

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

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

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

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

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

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

elsever=3DparseInt(appVer)

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

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

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

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

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

ScaleHyperlinks( factor )}function _InitAnimations(){

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

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

if( g_animUseRuntime ) {

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

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

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

}}

}if( g_animItemsToHide ) {

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

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

}if( g_animInteractiveItems ){

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

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

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

adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim=e, g_animEffectTimings );

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

}}return g_animUseRuntime;

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

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

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

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

elseparent.GoToNextSld();

}CatchNumKeys( parent, event );

}function CatchNumKeys( win, event ) {

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

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

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

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

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

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

var jumpTo =3D parseInt(gSldJumpIdx);gSldJump =3D 0; gSldJumpIdx =3D "";

win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref )}

}}function _KDH(){

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

}}function DocumentOnClick(){

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

parent.IsFrames=Mode() ) ||

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

g_animMainSequence.cangonex=t )

return;parent.GoToNextSld();

}}

var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""=, g_bgSound=3D"", g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser ==3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1;var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w=indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va=r g_animManager =3D null;var g_animUseRuntime =3D false;var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;var g_animMainSequence =3D null;var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram=es", gIsEndShow=3D0, NUM_VIS_SLDS=3D24, SCRIPT_HREF=3D"script.js", FULLSCR_=HREF=3D"fullscreen.htm";var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO=tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D truewindow.gPPTHTML=3DSupportsPPTHTML()var gMainDoc=3Dnew Array(new hrefList("slide0001.htm",1,-1,1),new hrefList(="slide0123.htm",1,-1,1),new hrefList("slide0125.htm",1,-1,1),new hrefList("=slide0073.htm",1,-1,1),new hrefList("slide0098.htm",1,-1,1),new hrefList("s=lide0101.htm",1,-1,1),new hrefList("slide0102.htm",1,-1,1),new hrefList("sl=ide0103.htm",1,-1,1),new hrefList("slide0104.htm",1,-1,1),new hrefList("sli=de0074.htm",1,-1,1),new hrefList("slide0075.htm",1,-1,1),new hrefList("slid=e0118.htm",1,-1,1),new hrefList("slide0119.htm",1,-1,1),new hrefList("slide=0130.htm",1,-1,1),new hrefList("slide0120.htm",1,-1,1),new hrefList("slide0=076.htm",1,-1,1),new hrefList("slide0077.htm",1,-1,1),new hrefList("slide00=65.htm",1,-1,1),new hrefList("slide0069.htm",1,-1,1),new hrefList("slide011=7.htm",1,-1,1),new hrefList("slide0078.htm",1,-1,1),new hrefList("slide0070=.htm",1,-1,1),new hrefList("slide0122.htm",1,-1,1),new hrefList("slide0126.=htm",1,-1,1));function FullScrInit(){

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

}function Redirect( frmId ){

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

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

}return 0

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

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

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

}return '';

}function GetTags(base,tag){

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

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

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

}}function ToggleOtlText(){

gOtlTxtExp=3D!gOtlTxtExpUpdOtlPane()

}function ToggleOtlPane(){

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

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

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

}function ToggleNtsPane(){

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

if( gNtsOpen )frmset.rows=3D"100%,*"

elsefrmset.rows=3D"*,20%"

gNtsOpen=3D!gNtsOpenUpdNtsPane()

}function ClearMedia(){

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

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

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

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

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

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

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

}else{

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

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

}function ToggleVNarration(){

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

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

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

elsereturn;

}else if( PPTSld.g_animUseRuntime ){

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

narObj.togglePause()}

}function GetCurSldNum(){

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

return obj.mSldIdxelse

return gCurSld}function GetNumSlds(){

if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 )

return GetSldList().mNumVisSlds;else

return GetSldList().mList.length}function GetSldNum( href ){

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

return ii+1}return 1

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

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

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

}}else {

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

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

GoToSldNum(ii)return

}}if( gSldStack.length > 1 )

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

if( gLoopCont )GoToFirst()

elseEndShow()

}}function GoToPrevSld(){

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

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

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

GoToSldNum(ii)}

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

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

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

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

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

}function GoToSld( href ){

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

}function SldUpdated( id ){

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

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

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

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

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

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

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

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

}function EndShow(){

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

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

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

this.mSldHref=3D this.mNtsHref =3D sldHrefthis.mOrigVis=3D this.mVis =3D visible

this.mVisited=3D falsethis.mAdvDelay=3D advDelaythis.mAdvOnClk=3D advClk

}function SldList(arr,curSld,fEnd){

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

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

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

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

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

if( !IsFullScrMode() ) return;var sldList =3D new Array();var custShow =3D custShowList[idx-1];var jj =3D 0;for( ii=3D0;ii<custShow.length;ii++ ) {

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

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

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

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

}function PopSldList() {

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

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

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

var t=3Dthist.Perform =3D _IBPt.SetActive =3D _IBSetAt.SetInactive=3D _IBSetI

t.SetPressed =3D _IBSetPt.SetDisabled=3D _IBSetDt.Enabled =3D _IBSetEt.ChangeIcon =3D nullt.UserAction =3D actiont.ChgState =3D _IBUIt.mObjId =3D oIdt.mBorderId=3D bIdt.mWidth =3D wt.mIsOn =3D t.mCurState =3D 0

}function _IBSetA(){

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

}}function _IBSetI(){

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

}}function _IBSetP(){

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

}}function _IBSetD(){

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

}function _IBSetE( state ){

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

t.mIsOn=3Dstateif( state )

t.SetInactive()else

t.SetDisabled()}

}function _IBP(){

var t=3Dthisif( t.mIsOn ) {

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

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

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

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

0)*t.mWidth}

t.SetActive()}

}function _IBUI( clr1,clr2,nextState ){

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

obj=.style.posTop

t.mCurState=3DnextStatereturn obj

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

var t=3Dthist.Perform =3D _TBPt.SetActive =3D _TBSetAt.SetInactive=3D _TBSetIt.SetPressed =3D _TBSetPt.SetDisabled=3D _TBSetDt.SetEnabled =3D _TBSetEt.GetState =3D chkStatet.UserAction =3D actiont.ChgState =3D _TBUIt.mObjId =3D oIdt.m_elementsId=3D oeIdt.mIsOn =3D 1

}function _TBSetA(){

var t=3Dthisif( t.mIsOn && !t.GetState() )

t.ChgState( gHiliteClr,gShadowClr,0,0 )}function _TBSetI(){

var t=3Dthisif( t.mIsOn && !t.GetState() )

t.ChgState( gFaceClr,gFaceClr,0,0 )}function _TBSetP(){

if( this.mIsOn )this.ChgState( gShadowClr,gHiliteClr,1,1 )

}function _TBSetD(){

this.ChgState( gFaceClr,gFaceClr,0,0 )this.mIsOn =3D 0

}function _TBSetE(){

var t=3Dthisif( !t.GetState() )

t.ChgState( gFaceClr,gFaceClr,0,0 )else

t.ChgState( gShadowClr,gHiliteClr,1,1 )t.mIsOn =3D 1

}function _TBP(){

var t=3Dthis

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

t.UserAction() if( !t.GetState ) return

if( t.GetState() )t.SetPressed()

elset.SetActive()

}}function _TBUI( clr1,clr2,lOffset,tOffset ){

SetBorder( GetObj( this.mObjId ),clr1,clr2 )Offset( GetObj( this.m_elementsId ),lOffset,tOffset )

}function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle=ft }function SetBorder( obj, upperLeft, lowerRight ){

s=3Dobj.style;s.borderStyle =3D "solid"s.borderWidth =3D 1s.borderLeftColor =3D s.borderTopColor =3D upperLefts.borderBottomColor=3D s.borderRightColor =3D lowerRight

}function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() }function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() }function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() }function BtnOnUp(){

b=3DGetBtnObj()if( b !=3D null )

b.Perform()else

Upd()}function GetNtsState(){ return parent.gNtsOpen }function GetOtlState(){ return parent.gOtlOpen }function GetOtlTxtState(){ return parent.gOtlTxtExp }function NtsBtnSetFlag( fVal ){

s=3Ddocument.all.item( this.m_flagId ).styles.display=3D"none"if( fVal )

s.display=3D""else

s.display=3D"none"}function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=etActive() }function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=etInactive() }var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"=THREEDFACE"var gBtnArr =3D new Array()gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan=e,GetOtlState )gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt=lPane,GetOtlState )gBtnArr["nb_nts"] =3D new TxtBtn( "nb_nts","nb_ntsElem",parent.ToggleNtsPan=e,GetNtsState )gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToP=

revSld )gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToN=extSld )gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent=.FullScreen )gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa=rent.FullScreen,null )gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border;gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border;gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent=.FullScreen,null )gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border;gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border;gBtnArr["nb_voice"] =3D new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.=ToggleVNarration )gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent=.ToggleOtlText )gBtnArr["nb_nts"].m_flagId=3D "notes_flag"gBtnArr["nb_nts"].SetFlag =3D NtsBtnSetFlaggBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtStatevar sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr=row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval"function ShowMenu(){

BuildMenu();var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y=

=3DPPTSld.event.clientY+doc.scrollTopm =3D PPTSld.document.all.item("ctxtmenu")m.style.pixelLeft=3Dxif( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )

m.style.pixelLeft=3Dx-m.scrollWidthm.style.pixelTop=3Dyif( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )

m.style.pixelTop=3Dy-m.scrollHeightm.style.display=3D""

}function _CM(){

if( !parent.IsFullScrMode() ) return;if(!PPTSld.event.ctrlKey) {

ShowMenu()return false

} elseHideMenu()

}function BuildMenu(){

if( PPTSld.document.all.item("ctxtmenu") ) returnvar mObj=3DCreateItem( PPTSld.document.body )mObj.id=3D"ctxtmenu"mObj.style.visibility=3D"hidden"var s=3DmObj.styles.position=3D"absolute"s.cursor=3D"default"s.width=3D"120px"SetCMBorder(mObj,"menu","black")var iObj=3DCreateItem( mObj )SetCMBorder( iObj, "threedhighlight","threedshadow" )iObj.style.padding=3D2CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )CreateSeparator( iObj )CreateMenuItem( iObj,sEnd,M_End,M_True )mObj.style.visibility=3D"visible"

}function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa=lue=3Dfalse }function Highlight() { ChangeClr("activecaption","threedhighlight") }function Deselect() { ChangeClr("threedface","menutext") }function Perform(){

e=3DPPTSld.event.srcElementif( e.type=3D=3D"menuitem" && e.IsActive() )

e.Action()else

PPTSld.event.cancelBubble=3Dtrue}function ChangeClr( bg,clr ){

e=3DPPTSld.event.srcElementif( e.type=3D=3D"menuitem" && e.IsActive() ) {

e.style.backgroundColor=3Dbge.style.color=3Dclr

}}function M_HasPrevSld() { return( parent.HasPrevSld() ) }function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }function M_GoPrevSld() { if( gIsEndShow ) { history.back(); PPTSld.event.ca=ncelBubble=3Dtrue; } else GoToPrevSld() }function M_True() { return true }function M_End() { window.close( self ) }function CreateMenuItem( node,text,action,eval ){

var e=3DCreateItem( node )e.type=3D"menuitem"e.Action=3Dactione.IsActive=3Devale.innerHTML=3Dtextif( !e.IsActive() )

e.style.color=3D"threedshadow"e.onclick=3DPerforme.onmouseover=3DHighlighte.onmouseout=3DDeselects=3De.style;s.fontFamily=3DsFonts.fontSize=3D"9pt"s.paddingLeft=3D2

}function CreateSeparator( node ){

var sObj=3DCreateItem( node )SetCMBorder(sObj,"menu","menu")var s=3DsObj.styles.borderTopColor=3D"threedshadow"s.borderBottomColor=3D"threedhighlight"s.height=3D1s.fontSize=3D"0px"

}function CreateItem( node ){

var elem=3DPPTSld.document.createElement("DIV")node.insertBefore( elem )return elem

}function SetCMBorder( o,ltClr,rbClr ){

var s=3Do.styles.backgroundColor=3D"menu"

s.borderStyle=3D"solid"s.borderWidth=3D1s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr

}

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/fullscreen.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html>

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\fullscreen.htm"id=3D"webarch_temp_base_tag"><![endif]><script src=3Dscript.js></script><script></script></head>

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

</html>

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/buttons.gifContent-Transfer-Encoding: base64Content-Type: image/gif

R0lGODlhWAESAPf4AAAAAIAAAACAAICAAAAAgIAAgACAgICAgAQEBISEBASEBISEhAQEhMTExAQE/KTM9Pz8/ERERPz8BAT8/KSkpGRkhMTcxCRkxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMDAwP8AAAD/AP//AAAA//8A/wD//////yH5BAEAAPgALAAAAABYARIAQAj/APEJHEiwoMGDCBMqXMiwocOHECNKnEixosWLGCEiQKCRo8YDIEHig2DxAD4LKD1avDDhgUuV

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

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/frame.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html>

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><title>Priority Queues</title><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\frame.htm"id=3D"webarch_temp_base_tag"><![endif]><![if !ppt]><script src=3Dscript.js></script><script></script><![endif]></head>

<frameset rows=3D"*,25" border=3D0> <frameset cols=3D"25%,*" onload=3D"Load()" id=3DPPTHorizAdjust framespacin=g=3D1 frameborder=3D1> <frame src=3Doutline.htm title=3D"Outline" name=3DPPTOtl> <frame src=3Dslide0001.htm title=3D"Slide" name=3DPPTSld> </frameset> <frameset cols=3D"25%,*" framespacing=3D1> <frame src=3Doutline.htm title=3D"Outline

Navigation Bar" name=3DPPTOtlNav scrolling=3Dno noresize> <frame src=3Doutline.htm title=3D"SlideNavigation Bar" name=3DPPTNav scrolling=3Dno noresize> </frameset></frameset></html>

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/outline.htmContent-Transfer-Encoding: quoted-printableContent-Type: text/html; charset="us-ascii"

<html>

<head><meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><meta name=3DProgId content=3DPowerPoint.Slide><meta name=3DGenerator content=3D"Microsoft PowerPoint 10"><link id=3DMain-File rel=3DMain-File href=3D"../lec20.htm"><link rel=3DPreview href=3Dpreview.wmf><![if IE]><base href=3D"file:///C:\D0F41270\lec20_files\outline.htm"id=3D"webarch_temp_base_tag"><![endif]><meta name=3DRobots content=3DNoIndex><script src=3Dscript.js></script><script></script><style></style></head>

<body onload=3D"Load()" style=3D'margin:2px'>

<div id=3DNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=)"onkeypress=3D"_KPH()" style=3D'display:none;visibility:hidden'><table id=3D"notesBtn" style=3D'position:absolute;display:none;width:70px' =align=3Dleft cellpadding=3D0 cellspacing=3D0> <td nowrap> <div id=3D"nb_ntsElem" align=3Dcenter style=3D'position:relative;padding:3=px; font-family:Arial;color:buttontext;font-size:9pt'><img src=3D"notes_flag.g=if" border=3D0 id=3D"notes_flag" style=3D'display:none'><spanstyle=3D'mso-spacerun:yes'> </span>Notes</div> <div title=3D"Show/HideNotes" id=3D"nb_nts" style=3D'position:absolute;top:0%; left:0%;width:100%;height:100%'></div> </td></table>

<table style=3D'position:relative;width:70px' align=3Dright cellpadding=3D0= cellspacing=3D0> <td nowrap> <div id=3D"nb_sldshwText" title=3D"FullScreen Slide Show" align=3Dcenter style=3D'position:relative;margin-left:20=px;padding:3px; font-family:Arial;color:buttontext;font-size:9pt;cursor:default'>SlideShow</div> <div id=3D"nb_sldshwBorder" title=3D"Full Screen Slide Show" style=3D'posi=tion:absolute;top:0%;left:0%;width:100%;height:20px'> <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img src=3D"buttons.gif" id=3D"nb_sldshw" style=3D'position:relative;left:-254p=x'></div> </div> </td> <td> <div id=3D"nb_voiceBorder" style=3D'display:none;position:absolute;top:0;l=eft:-40px; width:20px;height:20px'> <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img src=3D"buttons.gif" id=3D"nb_voice" title=3D"Pause/Play Narration" style==3D'position: relative;left:-290px'></div> </div> </td></table>

<table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci=ng=3D0>

<td nowrap> <div id=3D"nb_prevBorder" class=3Dbutton style=3D'left:-30px'> <div style=3D'position:absolute;clip:rect(0px, 30px, 18px, 0px)'><img src=3D"buttons.gif" id=3D"nb_prev" title=3D"Previous Slide" style=3D'posit=ion:relative; left:0px'></div> </div> <span id=3D"nav_text" style=3D'position:relative;top:3px;width:100px;font-=family: Arial;color:buttontext;font-size:9pt'></span> <div id=3D"nb_nextBorder" class=3Dbutton> <div style=3D'position:absolute;clip:rect(0px, 30px, 18px, 0px)'><img src=3D"buttons.gif" id=3D"nb_next" title=3D"Next Slide" style=3D'position:=relative; left:-90px'></div> </div> </td></table></div>

<div id=3DOtlNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=)"onkeypress=3D"_KPH()" style=3D'display:none;visibility:hidden'>

<table style=3D'position:relative;width:70px' align=3Dleft cellpadding=3D0 =cellspacing=3D0> <td nowrap><div title=3D"Show/HideOutline" id=3D"nb_otl" style=3D'position:absolute;top:0%;left:0%;width:100%;height:100%;cursor:de=fault'> <div id=3D"nb_otlElem" align=3Dcenter style=3D'position:relative;padding:3=px;font-family:Arial; color:buttontext;font-size:9pt'>Outline</div></div> </td></table>

<table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci=ng=3D0> <td> <div style=3D'position:absolute;left:-18px;width:24px;height:20px;border-s=tyle: solid;border-width:1px;border-color:threedface' id=3D"nb_otlTxtBorder"> <div style=3D'position:absolute;clip:rect(0px, 22px, 18px, 0px)'><img src=3Dbuttons.gif id=3D"nb_otlTxt" title=3D"Expand/Collapse Outline" style=3D'position:relative;left:-157px'></div> </div> </td></table>

</div>

<div id=3DOtlObj style=3D'display:none;visibility:hidden;'>

<table width=3D"100%" style=3D'font-family:Arial;font-size:9pt'> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>1</font></div> </td> <td width=3D"100%"> <div id=3DPPTP1 class=3DPTxt><font size=3D2><a

href=3D"javascript:GoToSld('slide0001.htm');" id=3DPPTL1>Priority Queues<=/a></font></div> <div id=3DPPTC1 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Scheduling example</li> <li>The priority queue ADT</li> <li>Implementing a priority queue with a sequence</li> <li>Binary Heaps</li> <li>Insertion in a Heaps and Heapify</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>2</font></div> </td> <td> <div id=3DPPTP2 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0123.htm');" id=3DPPTL2>Scheduling</a></=font></div> <div id=3DPPTC2 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>In a multi-user computer system, multiple users submit jobs to run o=n a single processor.</li> <li>We assume that the time required by each job is known in advance. Further, jobs can be preempted (stopped and resumed later)</li> <li>One policy which minimizes the average waiting time is SRPT (shortest remaining processing time).</li> <li>The processor schedules the job with the smallest remaining processi=ng time.</li> <li>If while a job is running a new job arrives with processing time less than the remaining time of current job, the current job is preempted=.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>3</font></div> </td> <td> <div id=3DPPTP3 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0125.htm');" id=3DPPTL3>Data Structure f=or SRPT</a></font></div> <div id=3DPPTC3 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>We need to maintain the remaining processing time of the unfinished =jobs at any point in time.</li> <li>We need to find the job with the shortest remaining processing time.=</li> <li>When a job finishes we should remove it from our collection.</li> <li>When a new job arrives we need to add it to the collection.</li> </ul> </font></div> </td>

</tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>4</font></div> </td> <td> <div id=3DPPTP4 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0073.htm');" id=3DPPTL4>Priority Queues<=/a></font></div> <div id=3DPPTC4 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A priority queue is an ADT(abstract data type) for maintaining a set= S of elements, each with an associated value called priority</li> <li>A PQ supports the following operations</li> <ul> <li>Insert(x) insert element x in set S (S¬SÈ{x})</li> <li>Minimum() returns the element of S with smallest priority.</li> <li>Delete-min() returns and removes the element of S with smallest priority.</li> </ul> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>5</font></div> </td> <td> <div id=3DPPTP5 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0098.htm');" id=3DPPTL5>Priorities and T=otal Order Relations</a></font></div> <div id=3DPPTC5 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A Priority Queue ranks its elements by priority.</li> <li>Every element has a priority. Priorities are not necessarily unique =and are totally ordered.</li> <li>Total Order Relation, denoted by <font face=3DSymbol>£</font><=/li> <ul> <li><font face=3DArial>Reflexive: k </font><font face=3DSymbol>£<=/font><font face=3DArial> k</font></li> <li>Antisymetric: if k1 <font face=3DSymbol>£</font><font face=3D=Arial> k2 and k2 </font><font face=3DSymbol>£</font><font face=3DAri=al> k1, then k1 </font><font face=3DSymbol>£</font><font face=3DArial=> k2</font></li> <li>Transitive: if k1 <font face=3DSymbol>£</font><font face=3DAr=ial> k2 and k2 </font><font face=3DSymbol>£</font><font face=3DArial>= k3, then k1 </font><font face=3DSymbol>£</font><font face=3DArial=> k3</font></li> </ul> </ul>

</font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>6</font></div> </td> <td> <div id=3DPPTP6 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0101.htm');" id=3DPPTL6>Comparators</a><=/font></div> <div id=3DPPTC6 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>The most general and reusable form of a priority queue makes use of =comparator objects.</li> <li>Comparator objects are external to the keys that are to be compared =and compare two objects.</li> <li>When the priority queue needs to compare two keys, it uses the comparator it was given to do the comparison.</li> <li>Thus a priority queue can be general enough to store any object.</li> <li>The comparator ADT includes:</li> <ul> <li>isLessThan(a, b), isLessThanOrEqualTo(a,b),</li> <li>isEqualTo(a, b), isGreaterThan(a,b),</li> <li>isGreaterThanOrEqualTo(a,b), isComparable(a)</li> </ul> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>7</font></div> </td> <td> <div id=3DPPTP7 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0102.htm');" id=3DPPTL7>Implem. with Uns=orted Sequence</a></font></div> <div id=3DPPTC7 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>The items are pairs (priority, element)</li> <li>We can implement insert() by using insertLast() on the sequence. This takes O(1) time.</li> <br> <br> <br> <br> <br> <li>However, because we always insert at the end, irrespective of the key value, our sequence is not ordered.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'>

<td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>8</font></div> </td> <td> <div id=3DPPTP8 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0103.htm');" id=3DPPTL8>Unsorted Sequence (contd.)</a></font></div> <div id=3DPPTC8 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Thus, for methods such as minimum(),delete-min() we need to look at =all the elements of S. The worst case time complexity for these methods =is O(n).</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>9</font></div> </td> <td> <div id=3DPPTP9 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0104.htm');" id=3DPPTL9>Implem. with Sor=ted Sequence</a></font></div> <div id=3DPPTC9 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Another implementation uses a sequence S, sorted by increasing priorities.</li> <li>minimum() and <span style=3D'mso-spacerun:yes'> </span>delete-m=in() take O(1) time.</li> <br> <br> <br> <li>However, to implement insert(), we must now scan through the entire sequence in the worst case. Thus insert() runs in O(n) time.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>10</font></div> </td> <td> <div id=3DPPTP10 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0074.htm');" id=3DPPTL10>Priority Queues=</a></font></div> <div id=3DPPTC10 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Applications:</li> <ul> <li>job scheduling shared computing resources (Unix)</li> <li>Event simulation</li> <li>As a building block for other algorithms</li> </ul> <li>A Heap can be used to implement a PQ</li>

</ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>11</font></div> </td> <td> <div id=3DPPTP11 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0075.htm');" id=3DPPTL11>(Binary) Heaps<=/a></font></div> <div id=3DPPTC11 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A binary tree that stores priorities (or priority-element) pairs at nodes</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>12</font></div> </td> <td> <div id=3DPPTP12 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0118.htm');" id=3DPPTL12>Examples of non=-Heaps</a></font></div> <div id=3DPPTC12 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Heap property violated</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>13</font></div> </td> <td> <div id=3DPPTP13 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0119.htm');" id=3DPPTL13>Example of non-=heap</a></font></div> <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Last level not left-filled</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>14</font></div> </td> <td> <div id=3DPPTP14 class=3DPTxt><font size=3D2><a

href=3D"javascript:GoToSld('slide0130.htm');" id=3DPPTL14>Finding the min=imum element</a></font></div> <div id=3DPPTC14 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>The element with smallest priority always sits at the root of the he=ap.</li> <li>This is because if it was elsewhere, it would have a parent with lar=ger priority and this would violate the heap property.</li> <li>Hence minimum() can be done in O(1) time.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>15</font></div> </td> <td> <div id=3DPPTP15 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0120.htm');" id=3DPPTL15>Height of a hea=p</a></font></div> <div id=3DPPTC15 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Suppose a heap of n nodes has height h.</li> <li>Recall: complete binary tree of height h has 2<sup>h+1</sup>-1 nodes=.</li> <li>Hence 2<sup>h</sup>-1 < n <=3D 2<sup>h+1</sup>-1.</li> <li>n =3D ëlog<sub>2</sub> hû</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>16</font></div> </td> <td> <div id=3DPPTP16 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0076.htm');" id=3DPPTL16>Implementing He=aps</a></font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>17</font></div> </td> <td> <div id=3DPPTP17 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0077.htm');" id=3DPPTL17>Implementing He=aps (2)</a></font></div> <div id=3DPPTC17 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Notice the implicit tree links; children of node i are 2i and 2i+1</=li> <li>Why is this useful?</li> <ul>

<li>In a binary representation, a multiplication/division by two is left/right shift</li> <li>Adding 1 can be done by adding the lowest bit</li> </ul> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>18</font></div> </td> <td> <div id=3DPPTP18 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0065.htm');" id=3DPPTL18>Insertion in a =Heap</a></font></div> <div id=3DPPTC18 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Insert 12</li> <li>Insert 8</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>19</font></div> </td> <td> <div id=3DPPTP19 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0069.htm');" id=3DPPTL19>Another View of Insertion</a></font></div> <div id=3DPPTC19 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Enlarge heap</li> <li>Consider path from root to inserted node</li> <li>Find topmost element on this path with higher priority that that of inserted element.</li> <li>Insert new element at this location by shifting down the other eleme=nts on the path</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>20</font></div> </td> <td> <div id=3DPPTP20 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0117.htm');" id=3DPPTL20>Correctness of Insertion</a></font></div> <div id=3DPPTC20 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>The only nodes whose contents change are the ones on the path.</li> <li>Heap property may be violated only for children of these nodes.</li> <li>But new contents of these nodes only have lower priority.</li>

<li>So heap property not violated.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>21</font></div> </td> <td> <div id=3DPPTP21 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0078.htm');" id=3DPPTL21>Heapify</a></fo=nt></div> <div id=3DPPTC21 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>i is index into the array A</li> <li>Binary trees rooted at Left(i) and Right(i) are heaps</li> <li>But, A[i] might be smaller than its children, thus violating the heap property</li> <li>The method Heapify makes binary tree rooted at i a heap by moving A[=i] down the heap.</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>22</font></div> </td> <td> <div id=3DPPTP22 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0070.htm');" id=3DPPTL22>Heapify</a></fo=nt></div> <div id=3DPPTC22 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Heap property violated at node with index 1 but subtrees rooted at 2=, 3 are heaps.</li> <li>heapify(1)</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>23</font></div> </td> <td> <div id=3DPPTP23 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0122.htm');" id=3DPPTL23>Another View of= Heapify</a></font></div> <div id=3DPPTC23 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>Heapify(i) traces a path down the tree.</li> <li>Last node on path (say j) has both A[left(j)], A[right(j)] are larger than A[i]</li> <li>All elements on path have lower priority than their siblings.</li>

<li>All elements on this path are moved up.</li> <li>A[i] goes to location j.</li> <li>This establishes correctness</li> </ul> </font></div> </td> </tr> <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=this)" style=3D'cursor:hand'> <td align=3Dright valign=3Dtop> <div class=3DsldNum><font size=3D2>24</font></div> </td> <td> <div id=3DPPTP24 class=3DPTxt><font size=3D2><a href=3D"javascript:GoToSld('slide0126.htm');" id=3DPPTL24>Running time An=alysis</a></font></div> <div id=3DPPTC24 class=3DCTxt style=3D'display:none'><font size=3D2> <ul> <li>A heap of n nodes has height O(log n).</li> <li>While inserting we might have to move the element all the way to the top.</li> <li>Hence at most O(log n) steps required.</li> <li>In Heapify, the element might be moved all the way to the last level=.</li> <li>Hence Heapify also requires O(log n) time.</li> </ul> </font></div> </td> </tr></table>

</div>

<div style=3D'display:none'><a href=3D"../lec20.htm"></a><a href=3Dmaster04=.htm></a><ahref=3Dmaster04.xml></a><a href=3Dpreview.wmf></a><a href=3Dmaster05.htm></=a><ahref=3Dmaster05.xml></a><a href=3Dpres.xml></a><a href=3Deditdata.mso></a><ahref=3Dslide0001.htm></a><a href=3D"master04_image001.gif"></a><ahref=3D"slide0001_image002.wmz"></a><a href=3D"slide0001_image003.pcz"></a>=<ahref=3D"slide0001_image004.gif"></a><a href=3Dslide0123.htm></a><ahref=3Dslide0125.htm></a><a href=3Dslide0073.htm></a><a href=3Dslide0098.ht=m></a><ahref=3Dslide0101.htm></a><a href=3Dslide0102.htm></a><ahref=3D"slide0102_image005.wmz"></a><a href=3D"slide0102_image006.pcz"></a>=<ahref=3D"slide0102_image007.gif"></a><a href=3Dslide0103.htm></a><ahref=3D"slide0103_image008.wmz"></a><a href=3D"slide0103_image009.pcz"></a>=<ahref=3D"slide0103_image010.gif"></a><a href=3Dslide0104.htm></a><ahref=3D"slide0104_image011.wmz"></a><a href=3D"slide0104_image012.pcz"></a>=<ahref=3D"slide0104_image013.gif"></a><a href=3D"slide0104_image014.wmz"></a>=<ahref=3D"slide0104_image015.pcz"></a><a href=3D"slide0104_image016.gif"></a>=<ahref=3Dslide0074.htm></a><a href=3Dslide0075.htm></a><ahref=3D"slide0075_image017.gif"></a><a href=3Dslide0118.htm></a><ahref=3D"slide0118_image018.gif"></a><a href=3D"slide0118_image019.gif"></a>=<a

href=3D"slide0118_image020.gif"></a><a href=3Dslide0119.htm></a><ahref=3D"slide0119_image021.gif"></a><a href=3D"slide0119_image022.gif"></a>=<ahref=3D"slide0119_image023.gif"></a><a href=3Dslide0130.htm></a><ahref=3Dslide0120.htm></a><a href=3Dslide0076.htm></a><a href=3Dslide0076.xm=l></a><ahref=3D"slide0076_image024.gif"></a><a href=3Dslide0077.htm></a><ahref=3Dslide0065.htm></a><a href=3D"slide0065_image025.gif"></a><ahref=3D"slide0065_image026.gif"></a><a href=3D"slide0065_image027.gif"></a>=<ahref=3D"slide0065_image028.gif"></a><a href=3D"slide0065_image029.gif"></a>=<ahref=3D"slide0065_image030.gif"></a><a href=3D"slide0065_image031.gif"></a>=<ahref=3D"slide0065_image032.gif"></a><a href=3D"slide0065_image033.gif"></a>=<ahref=3D"slide0065_image034.gif"></a><a href=3D"slide0065_image035.gif"></a>=<ahref=3D"slide0065_image036.gif"></a><a href=3D"slide0065_image037.gif"></a>=<ahref=3D"slide0065_image038.gif"></a><a href=3D"slide0065_image039.gif"></a>=<ahref=3D"slide0065_image040.gif"></a><a href=3D"slide0065_image041.gif"></a>=<ahref=3D"slide0065_image042.gif"></a><a href=3D"slide0065_image043.gif"></a>=<ahref=3Dslide0069.htm></a><a href=3D"slide0069_image044.gif"></a><ahref=3D"slide0069_image045.gif"></a><a href=3D"slide0069_image046.gif"></a>=<ahref=3D"slide0069_image047.gif"></a><a href=3D"slide0069_image048.gif"></a>=<ahref=3D"slide0069_image049.gif"></a><a href=3D"slide0069_image050.gif"></a>=<ahref=3D"slide0069_image051.gif"></a><a href=3D"slide0069_image052.gif"></a>=<ahref=3D"slide0069_image053.gif"></a><a href=3D"slide0069_image054.gif"></a>=<ahref=3D"slide0069_image055.gif"></a><a href=3D"slide0069_image056.gif"></a>=<ahref=3D"slide0069_image057.gif"></a><a href=3D"slide0069_image058.gif"></a>=<ahref=3D"slide0069_image059.gif"></a><a href=3D"slide0069_image060.gif"></a>=<ahref=3D"slide0069_image061.gif"></a><a href=3Dslide0117.htm></a><ahref=3D"slide0117_image062.gif"></a><a href=3D"slide0117_image063.gif"></a>=<ahref=3D"slide0117_image064.gif"></a><a href=3D"slide0117_image065.gif"></a>=<ahref=3D"slide0117_image066.gif"></a><a href=3D"slide0117_image067.gif"></a>=<ahref=3D"slide0117_image068.gif"></a><a href=3D"slide0117_image069.gif"></a>=<ahref=3D"slide0117_image070.gif"></a><a href=3D"slide0117_image071.gif"></a>=<ahref=3D"slide0117_image072.gif"></a><a href=3D"slide0117_image073.gif"></a>=<ahref=3D"slide0117_image074.gif"></a><a href=3D"slide0117_image075.gif"></a>=<ahref=3D"slide0117_image076.gif"></a><a href=3D"slide0117_image077.gif"></a>=<ahref=3D"slide0117_image078.gif"></a><a href=3Dslide0078.htm></a><ahref=3Dslide0070.htm></a><a href=3D"slide0070_image079.gif"></a><ahref=3D"slide0070_image080.gif"></a><a href=3D"slide0070_image081.gif"></a>=<a

href=3Dslide0122.htm></a><a href=3D"slide0122_image082.gif"></a><ahref=3D"slide0122_image083.gif"></a><a href=3D"slide0122_image084.gif"></a>=<ahref=3D"slide0122_image085.gif"></a><a href=3D"slide0122_image086.gif"></a>=<ahref=3D"slide0122_image087.gif"></a><a href=3D"slide0122_image088.gif"></a>=<ahref=3Dslide0126.htm></a><a href=3Dmaster01.htm></a><ahref=3D"master04_stylesheet.css"></a><a href=3Dscript.js></a><ahref=3Dfullscreen.htm></a><a href=3Dbuttons.gif></a><a href=3Dframe.htm></a=><ahref=3Doutline.htm></a></div>

</body>

</html>

------=_NextPart_01C52BA1.40FF0130Content-Location: file:///C:/D0F41270/lec20_files/filelist.xmlContent-Transfer-Encoding: quoted-printableContent-Type: text/xml; charset="utf-8"

<xml xmlns:o=3D"urn:schemas-microsoft-com:office:office"> <o:MainFile HRef=3D"../lec20.htm"/> <o:File HRef=3D"master04.htm"/> <o:File HRef=3D"master04.xml"/> <o:File HRef=3D"preview.wmf"/> <o:File HRef=3D"master05.htm"/> <o:File HRef=3D"master05.xml"/> <o:File HRef=3D"pres.xml"/> <o:File HRef=3D"editdata.mso"/> <o:File HRef=3D"slide0001.htm"/> <o:File HRef=3D"master04_image001.gif"/> <o:File HRef=3D"slide0001_image002.wmz"/> <o:File HRef=3D"slide0001_image003.pcz"/> <o:File HRef=3D"slide0001_image004.gif"/> <o:File HRef=3D"slide0123.htm"/> <o:File HRef=3D"slide0125.htm"/> <o:File HRef=3D"slide0073.htm"/> <o:File HRef=3D"slide0098.htm"/> <o:File HRef=3D"slide0101.htm"/> <o:File HRef=3D"slide0102.htm"/> <o:File HRef=3D"slide0102_image005.wmz"/> <o:File HRef=3D"slide0102_image006.pcz"/> <o:File HRef=3D"slide0102_image007.gif"/> <o:File HRef=3D"slide0103.htm"/> <o:File HRef=3D"slide0103_image008.wmz"/> <o:File HRef=3D"slide0103_image009.pcz"/> <o:File HRef=3D"slide0103_image010.gif"/> <o:File HRef=3D"slide0104.htm"/> <o:File HRef=3D"slide0104_image011.wmz"/> <o:File HRef=3D"slide0104_image012.pcz"/> <o:File HRef=3D"slide0104_image013.gif"/> <o:File HRef=3D"slide0104_image014.wmz"/> <o:File HRef=3D"slide0104_image015.pcz"/> <o:File HRef=3D"slide0104_image016.gif"/> <o:File HRef=3D"slide0074.htm"/> <o:File HRef=3D"slide0075.htm"/> <o:File HRef=3D"slide0075_image017.gif"/> <o:File HRef=3D"slide0118.htm"/> <o:File HRef=3D"slide0118_image018.gif"/> <o:File HRef=3D"slide0118_image019.gif"/> <o:File HRef=3D"slide0118_image020.gif"/> <o:File HRef=3D"slide0119.htm"/>

<o:File HRef=3D"slide0119_image021.gif"/> <o:File HRef=3D"slide0119_image022.gif"/> <o:File HRef=3D"slide0119_image023.gif"/> <o:File HRef=3D"slide0130.htm"/> <o:File HRef=3D"slide0120.htm"/> <o:File HRef=3D"slide0076.htm"/> <o:File HRef=3D"slide0076.xml"/> <o:File HRef=3D"slide0076_image024.gif"/> <o:File HRef=3D"slide0077.htm"/> <o:File HRef=3D"slide0065.htm"/> <o:File HRef=3D"slide0065_image025.gif"/> <o:File HRef=3D"slide0065_image026.gif"/> <o:File HRef=3D"slide0065_image027.gif"/> <o:File HRef=3D"slide0065_image028.gif"/> <o:File HRef=3D"slide0065_image029.gif"/> <o:File HRef=3D"slide0065_image030.gif"/> <o:File HRef=3D"slide0065_image031.gif"/> <o:File HRef=3D"slide0065_image032.gif"/> <o:File HRef=3D"slide0065_image033.gif"/> <o:File HRef=3D"slide0065_image034.gif"/> <o:File HRef=3D"slide0065_image035.gif"/> <o:File HRef=3D"slide0065_image036.gif"/> <o:File HRef=3D"slide0065_image037.gif"/> <o:File HRef=3D"slide0065_image038.gif"/> <o:File HRef=3D"slide0065_image039.gif"/> <o:File HRef=3D"slide0065_image040.gif"/> <o:File HRef=3D"slide0065_image041.gif"/> <o:File HRef=3D"slide0065_image042.gif"/> <o:File HRef=3D"slide0065_image043.gif"/> <o:File HRef=3D"slide0069.htm"/> <o:File HRef=3D"slide0069_image044.gif"/> <o:File HRef=3D"slide0069_image045.gif"/> <o:File HRef=3D"slide0069_image046.gif"/> <o:File HRef=3D"slide0069_image047.gif"/> <o:File HRef=3D"slide0069_image048.gif"/> <o:File HRef=3D"slide0069_image049.gif"/> <o:File HRef=3D"slide0069_image050.gif"/> <o:File HRef=3D"slide0069_image051.gif"/> <o:File HRef=3D"slide0069_image052.gif"/> <o:File HRef=3D"slide0069_image053.gif"/> <o:File HRef=3D"slide0069_image054.gif"/> <o:File HRef=3D"slide0069_image055.gif"/> <o:File HRef=3D"slide0069_image056.gif"/> <o:File HRef=3D"slide0069_image057.gif"/> <o:File HRef=3D"slide0069_image058.gif"/> <o:File HRef=3D"slide0069_image059.gif"/> <o:File HRef=3D"slide0069_image060.gif"/> <o:File HRef=3D"slide0069_image061.gif"/> <o:File HRef=3D"slide0117.htm"/> <o:File HRef=3D"slide0117_image062.gif"/> <o:File HRef=3D"slide0117_image063.gif"/> <o:File HRef=3D"slide0117_image064.gif"/> <o:File HRef=3D"slide0117_image065.gif"/> <o:File HRef=3D"slide0117_image066.gif"/> <o:File HRef=3D"slide0117_image067.gif"/> <o:File HRef=3D"slide0117_image068.gif"/> <o:File HRef=3D"slide0117_image069.gif"/> <o:File HRef=3D"slide0117_image070.gif"/> <o:File HRef=3D"slide0117_image071.gif"/> <o:File HRef=3D"slide0117_image072.gif"/> <o:File HRef=3D"slide0117_image073.gif"/> <o:File HRef=3D"slide0117_image074.gif"/> <o:File HRef=3D"slide0117_image075.gif"/> <o:File HRef=3D"slide0117_image076.gif"/>

<o:File HRef=3D"slide0117_image077.gif"/> <o:File HRef=3D"slide0117_image078.gif"/> <o:File HRef=3D"slide0078.htm"/> <o:File HRef=3D"slide0070.htm"/> <o:File HRef=3D"slide0070_image079.gif"/> <o:File HRef=3D"slide0070_image080.gif"/> <o:File HRef=3D"slide0070_image081.gif"/> <o:File HRef=3D"slide0122.htm"/> <o:File HRef=3D"slide0122_image082.gif"/> <o:File HRef=3D"slide0122_image083.gif"/> <o:File HRef=3D"slide0122_image084.gif"/> <o:File HRef=3D"slide0122_image085.gif"/> <o:File HRef=3D"slide0122_image086.gif"/> <o:File HRef=3D"slide0122_image087.gif"/> <o:File HRef=3D"slide0122_image088.gif"/> <o:File HRef=3D"slide0126.htm"/> <o:File HRef=3D"master01.htm"/> <o:File HRef=3D"master04_stylesheet.css"/> <o:File HRef=3D"script.js"/> <o:File HRef=3D"fullscreen.htm"/> <o:File HRef=3D"buttons.gif"/> <o:File HRef=3D"frame.htm"/> <o:File HRef=3D"outline.htm"/> <o:File HRef=3D"filelist.xml"/></xml>------=_NextPart_01C52BA1.40FF0130--

Documents

Lec20