USF Libraries
USF Digital Collections

Important extrema of time series

MISSING IMAGE

Material Information

Title:
Important extrema of time series theory and applications
Physical Description:
Book
Language:
English
Creator:
Gandhi, Harith Suman
Publisher:
University of South Florida
Place of Publication:
Tampa, Fla.
Publication Date:

Subjects

Subjects / Keywords:
derivative series
minima
maxima
indexing trees
distance
Dissertations, Academic -- Computer Science -- Masters -- USF   ( lcsh )
Genre:
government publication (state, provincial, terriorial, dependent)   ( marcgt )
bibliography   ( marcgt )
theses   ( marcgt )
non-fiction   ( marcgt )

Notes

Abstract:
ABSTRACT: We describe techniques for fast compression of time series and hierarchical indexing of compressed series based on the assignment of importance levels to the extrema of time series and their derivatives. We formalize the distance functions used in compression and retrieval techniques. We describe retrieval techinques that use the developed compression and indexing techniques for fast retreval of series from a database that match a given pattern.
Thesis:
Thesis (M.S.C.S.)--University of South Florida, 2004.
Bibliography:
Includes bibliographical references.
System Details:
System requirements: World Wide Web browser and PDF reader.
System Details:
Mode of access: World Wide Web.
Statement of Responsibility:
by Harith Suman Gandhi.
General Note:
Title from PDF of title page.
General Note:
Document formatted into pages; contains 63 pages.

Record Information

Source Institution:
University of South Florida Library
Holding Location:
University of South Florida
Rights Management:
All applicable rights reserved by the source institution and holding location.
Resource Identifier:
aleph - 001469415
oclc - 55731355
notis - AJR1169
usfldc doi - E14-SFE0000317
usfldc handle - e14.317
System ID:
SFS0025012:00001


This item is only available as the following downloads:


Full Text

PAGE 1

nr! "##$%&'n(*)+r-,.)/''02134r-$5(6/78&. "9'r.:!r','&');8&-$2$<$952n8#,.2r=>n?0@9'02A>020rBC8&'D#E9'nrB8$@4F&'D,'G4n!H.$n< "12r'1#I2rKJL'9"8M 1#r'1N#>n#rB/OJL4'9-M "1##r'1Ir',POr'G42r'#r-GJL4002G4+OOr'G42r'#2r'GQ/r-2R4#$n2(=O "49-&PST04n,>HKVUn4MWXn@$n$4#%YX9-G4r'IST2r'Z\[>WO&^]_N`]N2n(a:D0,'G4b['WO&^]cN`] "9','#d "Ze#[>WO&^]_N`]Nff)+''nVR0g%HK1&ihj-[\hk4klmf#(no4,-$%Y2r'-[pqe"2q-[pr-,'r"r-GD#$[p,'#2R2R!$nn$#[c,-$n8r'1#sJL(nG4&B+hk4kl-[>6+n2&P "9'rKt<,-,-(P:Dr','&'

PAGE 2

u=v"wCxzy4{-|}x@~€(='#r$[H.4&'rPtM#,',-(.:Dr','&'‚r',. "9'01&>r':Dr',-&'g[-n<&-4$DR09'#$
PAGE 3

ƒy}„…C~†‡zvw‚ˆ‰vŠ‹v|VŒFG4n302(a2r','58#,PI(PHK}Un4MWO@$$n4[\N#]XO9'G4r-ST2r'Z@&'$G49-,>r-1[$n9'G4G4#$n824r'$#[\r',*R09>501#4rB$/00&'9'G4&P49-<(ano4nZ‰]X&'2$nL4nZqno49'0,Pr'&>3R5#r.1#4-0#n<2&'49-<&'2$<&'02^]X6/2$14r'$ŽrBM@#,51Z*r-,.$n9'G4G4#$n824r'$<,'9'nr'G8&'fno#Z07(*,'$n19'$n$24r'$@4>$Ž$5rPG4r"50+no4nZq&'49-$F8n8#r',&'D14020#G4fr',P1'02#f(a8&-$2$]XX8&>r-Za(=1#40023G49-$nrB8$#[‰H.4&>r.t<,',-(.:Dr',-&'…r',. "9-01&>r>:Dr','&'–['(5n8&'#/ "&>8&KJL&>r','ri:Dr',-&'g[>r',*(an<2@!H.,'&9':Dr','&-@4F8&-502r2r]XY,'#'02(=''n18f&'214r'$ŽrBM87Re8r=r',.$$n$Žr'1#D,'9'2r'G€(ano4Z\]

PAGE 4

—{'‡zv.~\™DšI~‰|Vv|}Œ›…$Ž"8DrB8,'9'1r824rœ]I]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]JL&>"8/hWO#R249'$‹Z]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]jh"]7S>39'f$n#8$Ÿ]!]!]I]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]jh"]_h "07(€$9-$ ]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]lh"]cjr','¡-2r'Gr',*r82#R0]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]¢JL&>"8Mj£F$n1!JL4r'1#-$¤]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j-]7tM#0?,*$n9'1r89'n$/r',.0G478&'$=]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j-]74]2 1Z$/r',P0r-Z,*02$n$]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j-]74]¦ht<,§501Z#$]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j-]74]_jn,'<$n882$n1$¨]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j-]_htM#'#$#r8824rP$#2$‘]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j-]cjN$Žr'1#f$9-$]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j-]cj-]2N2$n8r'15#no#ri0R029'$a]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]4j"]_j-]74]7N#A>r'7824r]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]4j"]_j-]74]_h-'02$]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]4j-]cj-]¦hN2$n8r'1f1#44$n24rœ]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]4j"]_j-]_h"]7N#A>r'7824r]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]4j"]_j-]_h"]_h-'02$]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]}hj-]cj-]_jN2$n8r'15#no#rK82+$n#$]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]}hj"]_j-]cj-]7N#A>r'7824r]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]Vjj"]_j-]cj-]_h-'02;]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]Vjj"]_j-]cj-]cjN1‰4$7824r*]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]VjJL&>"8r'78r=Tr-]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]3ll']74]¦hJL'n$n$rP-1,-9'.]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]}¢l-]24]_h"]7H.4r'4r'21f14'#$$n4r]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]}¢l']_h‰4ŽrB¡"#q]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]}l']_h"]2NrA>r'78r]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]}

PAGE 5

l']_h"]¦h 821#<2‰4n8rBFr'2`9']I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]}l-]¦h"]_h"]7N#A>r'7824r]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]}l-]¦h"]_h"]_h-'02;]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]}l']_h"]_j›…r<4ŽrBr-`9']!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]Vl-]¦h"]cj-]7N#A>r'7824r]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]Vl-]¦h"]cj-]_h-'02;]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]Vl']_h"]clS0?2‰4ŽrBFr-`9']!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]Vl-]¦h"]pl']7N#A>r'7824r]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]Vl']_h"]¦¢JL'n$n$rP-1,-9'.]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]Vl']_h"]_t<1#4'#$$24r=n<2&.0G4#]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]Vl']_h"]¦QMr'1'n$n$r]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]h"l']_h"]_N#7Re82R$#2$]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]h4hl-]¦h"]c-]7N#A>r'7824r]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]h4hl-]¦h"]c-]_hJL4-$n$24r]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]hjl']cj‰4Žr'1#f0rR402$]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]hjl']cj-]2NrA>r'78r]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]hjl']cj-]¦hT-'0‹]I]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]hll']cj-]_j£L$21f'4‰Ž82$a]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]hll']cj-]cl 821#<2‰4n8r'1#]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]h4¢l']cj-]¦¢›…r<4Žr-1i]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]h4¢l']cj-]_S0?2‰4Žr'1#q]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]hl']cj-]¦T8#r','#,K'n4#n$]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]hl']cj-]_‰4n8r'1f101#9'0?e8ra'1#,'9'n]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]h4l']cj-]_‰4n8r'1#$$$/0G42&']!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j4kl']pl']¦hr'¡§>$$M0G478&']!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j-l']pl']_jN7##r<,-$n8r'1#D@9-r'1#4r'$]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j-JL&>"8/¢r','¡-2r'Gn$<]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j4j¢"]7tM#,"§50?1Z8#a]!]I]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j4j¢"]_ht/r'G48nP]I]!]!]I]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]jB¢JL&>"8MN$Žr'1#!JL4'9-e8r]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]jB-]7N$Žr'1#f8r-G4]I]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]jB-]_h)+'-3"8f,'2$n8r'1+]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]j4-]cj&'#$&'0,*8$Ž‘]!]I]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]lBkJL&>"8/WTn8#r.tMr82#R0]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]l4l"]7t/r'G4fE9'Ž(]!]!]I]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]l4l"]_h/#$nMr'2G4&5]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]l¢"]cjH.9'078-0r'#G4&54$]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]lB2

PAGE 6

JL&>"8MJL4r'1#09','2r'GtM#qZ$]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]lt<#@nr'1#$]I]!]!]I]!]I]!]!]I]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]¢k2

PAGE 7

Yx–Œ#|€~\™—{'‡zvŒ50Dj"]24%H.r*4‰824r'$F$n9''‰4n,5(=$Ž1Z$+r',*,'49502(=02r'Z,*02$n8$/]I]!]!]50Dj"]¦h"%H.r*4‰824r'$F$n9''‰4n,5(=n,"§50?1Zq8n$]I]!]!]I]!]D]I]!]I]!]!]50Dj"]_j-%H.r*02rB8$T8&-!$Ž8n9'1#9'#$M&><#'#$#r`8$n2$]I]!]!]50!¢]24%H.r*02rB8$T8&-!$Ž8n9'1#9'D#'#$#rr'Gq‘42rB<‘$n2$]!]!]jl50D"]24%Me8r^%c'nŽ§]D]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]lB50D"]¦h"%Me8r^%c'nŽ§]!]I]!]I]!]!]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]lB2R

PAGE 8

Yx–Œ#|~\™Mxzˆ‰‚}v"ŒST2G49'‘]24%-'02f`f$n#$/r',*28$¡8#q]I]!]I]!]!]I]!]D]I]!]I]!]!]ST2G49'Dj"]24%-'02f‘02r'Z,P0$ŽG49-D$1#4rB8r9>e8r=SG49'nfl']c]I]!]I]!]!]I]!]D]I]!]I]!]!]h"ST2G49'fl-]_-%fnG42r>0‰$##$<$Ž84n,P@41#4-$n$#,K$#2$‘]!]I]!]D]I]!]I]!]!]h"ST2G49'fl-]_-%-'02f$n#$#,*Rn$r.O}\‰¡""\'T"C‚^\fr*4r'¡§>$n$M0G42&']!]!]jBhST2G49'fl-]2V"%efnG42r>0r',P14'n$$n,.$n#$r','2r'G€,'$Žr-159'r','$5#norK$n#$]D]I]!]I]!]!]j4ST2G49'D"]_j-%WXn"1#,'9-D@4FA>r','2r'G‘8&'!-'3"8+,'$Žr'1#5rnL#ri$n2$¨]!]l'ST2G49'D"]cl'%WXn"1#,'9-D@4F8&'n$n&'40,=$n5#nor.42G4r'0$nn$]!]D]I]!]I]!]!]lhST2G49'D"]¦¢"%WXn"1#,'9-D@4F8&'n$n&'40,=$n5#nor.14'n$$n,.$n#$]I]!]I]!]!]lBjST2G49'!]24%WXn"1#,'9-D@48r-G4fE9'Ž(]I]!]I]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]l4lST2G49'!]¦h"%WXn"1#,'9-D@4r'3$ŽMr'2G4&54]!]D]I]!]!]I]!]I]!]!]I]!]D]I]!]I]!]!]l¢ST2G49'!]_j-%WXn"1#,'9-D@4`9'078-0+r-3n$nMr'#G4&54$]I]!]I]!]!]I]!]D]I]!]I]!]!]lBR

PAGE 9

#Š‹O~\V|V{>|+^|3evŠ‹{‹‘™—x–Š‹vdvex@vŒ—v~\VƒwƒC‡–xzy4{-|}x@~‰Œ6/78&. "9'r.:!r','&')£F "e9'$nM&'<,'#R0#,1#4-$n$24rqr',2r','¡-2r'Gf8#1&'r'E9'#$Y@z$nYr8n#R0>$##$O@4‘,>85$nD&>M81&P‘G42RrP>n8nr^]R

PAGE 10

š{'‚|Vvd|3e~^wCy|}x@~R#nizqIVr¡g$a$#E9'r'1#€XR09'#$+3$n9'#,eE9>0T82!rB8#nR02$@r-'02[X8&'P$##$€rSTG49-d4]7*r'1#09','#$‘R09'#$P[Lj-[Lj-[L¢"[Fr-,$n4r]T-'0#$o8‘$#2$!r'1#09','‘$Ž81Z'21$#[Cno3e8&'#I,>e-[r', 021#13n,'G48$]‘&'VRrBR$nGBe8,8#1&'r'2E9-$q@4‘1#4'#$$24r+=$n#$qr-,&'21&'21302r','¡-2r'G1'n$n$,q$n#$]&'2$o2rBR4$Ž82GB824r€$XD14rBr9>4r‰8&'hk4k4jz]S$Ž3[-no!,'$n15I‘'1#,'9'n!@4<1#4-$n$2r'G$#2$5(*¡881#824r*1#b§r+>e¡g>!n4z8reL&>I$[Tq}UnIr'2q=r',q}-2q"]*S\I¡''02[Tnoa1r1'n$n$X&'<$##$OrST2G49'+4]25(‘¡"81r82r'Gf8&'1#1#0#,¡8#qDr-,,-$1,-r'Gf8&-&'<‰4rB8$#] 1r',^[4D2r'$n8r'1[noq1r$n$Grq8&'/nr'1<0rR4#0$F$L$&-}n
PAGE 11

&-,[=9'$nK8&-d,'#R0#,2r','¡-2r'G$Ž89-1#89-$a@,'r8n2r'r-GIn<&'r8&'#FnL‘G47R4#r=$n#$+$0[r',q@4o#2#Rr'GI8&'$nn$L$08.G42Rr>n8#r@i,>e5$]i=$&-}n8&'&'=&'#8n1&'10Yr','¡"r'Gi023,-$8P8&'#,'9'1#4r‹F8&-qr8n#R0O€@n402r'3fKr'Ž§04GB2&'1`2r8&-q$2”8&-!,'5$]h

PAGE 12

š{'‚|Vv879!}v:…xz~‰CŒ<;~\}„!n#Rrn;n0?e8,=no4Z=r*&'D14>n$n4rPr',*r',-r"r'G€C82f$nn$#]7>=z…v{-|}‚eviŒvB|}Œt<$1&-$Y&>3R4<1#4r'$2,'n,€R249'$T@89'n<$#$O@41'n$n$r-GDL$n2$Yr',€3e§$9-r-GK$220?n2(5rnL#r&'P]=&'#( &>3Rar8#r'$7R4#02($n89-,'#,S>49'nf8r'$Ž@4$[n<&'21&020Vnz$n1'n$n$rc "&'#Z&'402$0!rI?5@[+V4-X "2r'G4&r',H.1#)F1Zr'r(4[V4-X #[MV44"BAfrI?5@[Lhk4k4kz&'Vno#R[o8&'2$`81&-r'E9'P&>$€$rR4#80M,'$,-Rr"§G4$#]Ora>Ž81#9'0?[2L$"&'$o0130\r'2qDr-,aq}-2q"[4n<&'1&=3(023,8‘I04$n$2‰4ŽrB!r-@824r^[Cr',7,-"#$r'InLZdnL#00X@4#821$n2$aZ,>rf?5@[V4]LJL&'rrF?5@344-'hk4k-''02,*6/4FnL3R402#<8r'$Ž@4$£o9'n9'$`rF?5@[^34B":f8'$#[DV4B¢e/8‹K$n2$*r-,$&'Vno,$#R0D,-RrBG4$a!&'$8#1&'r'E9'VR4#S>49'no88r'$n@4n$#]:f9'0r'2Z€r',P "n2R$Ž3RV414r'$n,'##,*&''n502C,'#1#r'G€`1&'r'G4f2r8&-+8nr',*,>e`$n.[-r',=,'rR4#04‰,P8#1&'r'2E9-@4LA>r',-r'GDCn1&'r'G4‰42r$FE‘2r$nn$#]›‚$Žr0§8e§r'42$‘82']a&'r(,-$1#5#,P1&'r'2E9'q@4!14'9-r'G*8&-$@39'#$r',P,-rB87("2r'G‘8&'D‰4rB$M1&>r-G4I2r=8&'D@39'fR029'$#]LWO8e/r',.STr-Za'#$#r,‘'1#,'9'n!@4FA'r','r-G}Un4Lr8n2r.‘$n2$#['n<&'1&.!‘$‰1#?0…1$D1&>r-G4‰4rB8$WO8n3[‰hkk-4>WO8eMr',.ST2r'Z\[\hk4kBh]t<$n3n1&'n$.&'VR 0$n$n89-,'#,&'d9'$!$nq02002'&>5#$q@4=1#4-$n$24r$#2$[-r',*-'02,q$Ž8nr'GIq1&'r-G=p:D9'$ŽA>02,^[34Be‰8!8&''r=$n3n1& )/G483nL0Yr?5@[V4B¢"}6M9>r'G+r',AY9^[-V4-V)+r-,'HG¡§IKJ4r'$n$4r€r',`£F,>0g[VB"}›‚r',!‹r'G'[-344-WTZr+?5@[oV4-ML9r+?5@[XV44eg]S>4Dr-'0[T:f9'0r'2Zr+?5@V4414'#$$n,j

PAGE 13

$n"1ZP'n1#$+9'$nr'Gaqr'r-r§02#n8/02'&>5#] "2r'G4&Kr',H.1#)F1Zr'r(V44n'n$#rB8,$n"1Z=-1#$#[>>n1#0,-(r>21$[\r',.$Ž8#00?F02G4&BrB8#r'$7(5(P`8&'nr§0r8#M0'&'5r3]›…r r',t<$1&3449-$,‹*no§0#n8#I0'&>5rf8Pr'1#",'}Un4f$-Z#$I2r P$n2$#]Nf$*r!?5@V49-820”#,r02'&>5#<'2787R4€$&>#$`@4r’1##r`14'#$$n4r^]&'#$+1&'r'2E9'$FG2R4/D&'G4&1'n$n$rq8e8[59-Y8&-Y,'#$1n-2R/‰VnL#L$Y0278#,^[n<&'21&.Z#$8&'#r>-'0213502+2r=qrB(=,-4qr'$#]WCnr'Gr‘?5@hk4k4krBR$nGBe8,1#4-$n$24r1&'r'2E9'5$,4r¡"81r824rNCn0r','nZd42rB8$[OEin<&'21&r'1#09','#,0130Yr-Pr',q}-2q"].mf#4G4&r-,WT”¡§”3r'3449-$,€8&-M#r','‰4rB$Y5$Žn§A-o02r'L$G#r$YD14'#$$of$n#$]OmfG4&r?5@hk4k-3rR"2#no,dr',K1#4'#,.8&-I1#4-$n$24r.1&'r'2E9'$5$#,i4ri''3"e§824rKY82D$#2$5(Kq$#E9-r'1#X$n8G&/$#G4rB8$#]+‹,'$n15`rd078nr>2R41'n$n$r1&'r'2E9'[5$,4r$021r8r+nr€r-ir',q}-2q"[or',G47R4!`z$n<'n"1#,'9-D@4FA>r','2r'G€nrF42rB8$]7>=P7^x–Šxz‡@{'ex@|¡Šv{'Œ3C}vŒ "rR40^n$1&-$M&>3R4f,-#A>r'#,.$n07(‘$L&'f,'2$nr'12r=@3e89'n$>1]YS>4F¡§'0[JF13e§RQY0#rB8Mr',›…4‰”r§bJL&>3Rn?$hk4k4k9'$#,aO9'102,'r€,'$Žr-15rnL#r@3e89'nR4#1#8$D14rB8r'2r'G=r-G40IYZr-‘}RrB!r',d9'$1#0`$Ž8#r'G&^[‚r',›…Kr?5@hk4k4k''02,`X9-102,'3r‘,'$Žr'1#F8D1>L@89'nFR4#1#8$X14rB8r'2r'G1#404#[8¡§89-[r',.$&>!R,-,>"]F&'$<8#1&'r'2E9-nLZ$/no020‚n<&-rd020^@39'#$/&'VR8&-$8!9'r'78$+O$10q_:f40,-rPr',dmDr-00Z$#[…V4B¢ez&'VnLrR4#[^2/$Mri2r'#1r82R!@15r-r'G‘,'2$>8@39'#$])/r‘078nr>2R4X,'rA>r'78r>$n07(+2$5$,4r549'r','2r'G+n1rr'G0$#no$##$n+$220?X7^8&'#549-r','r-G`#1#r'G40#$Fn$220?#]‚&'$F3$9'nf002Vn<$Yz$ŽF'n9'r'2r'G1023n02(a,-$$n0o$nn$I›…ar?5@[\hk4k4k->WCnr'GrL?5@[\hkk4k–[59-M2<2$0#$$<#1r82R@4$n0#1#r'G‘8&-!4$Ž<$0Y$n#$+4r'G‘1#04$nD13r',-,>$#]&-frBR4#04‰r§149'rB<8#1&'r'2E9-!2$5$n,*4r=,'7R,'2r'G‘`$#2$rB`$&'n<$#G4rB8$#[1300#,drBR4#04‰$#[Cr',,'#A'r'r'GPa(4#$Sr-.$n0?2(q@431&#rR024]‘FnL*$n2$!n$220?€n<2&'rœr#rR0247!&'2=rBn§5(B§42rB=,'2nr'1#$.in<78&'2rœ1Ž2r8&-$n&'402,^]+&'}R00C$220?n2($+3$9'n,5(P8&'`r9'5#+X#rR024#$+n<&'#`8&-$#2$MD$n0?)+G43nF0LrL?5@[…V4z]l

PAGE 14

&'2$$9-‘020Vn<$/z$nf1#4-9-4r.Y$220?n2(4[\r',d2+13r5‘,>-8#,@+r'42$n(r',P$$nr'G‘,'P£L40025$!rF?5@[^34B">Nf$rF?5@[^34Bez]Sr>0202([LnLd1r3$n9'‰4rBŽ§5(B§‰4rB$07(fno$n#$*r',œG4Gr§GBd8&'#$‹3$9'n$[n<&-1&8r#E9-#$.2rB8n0?4r52r$n$2r'G42rB8$]mf4G&r',‹WT”#”3r-V449-$,‹0r-3DrB‰40824rin<2&8&-$D81&-r'E9'[Or',‹Wnr'Gr/?5@hkk4k''02,d1#951`''nV"2q4r]Imf#4G4& r', WT””3r'hk4k4k0$n=,'$n1n5,‘rBn§5(B§42rBF$220?n2(`n<78&*",'7A>,aX9-102,'3rP,-$n8r'1#[-n<&'21&.,-"#$r'<#E9'nrB‰40824r^]7>=PT#w‚vB‚x–‚ˆ{>Cw}vB|Vexzv:'{'‡t<$1&-$€&>3R=$n89-,'#,PRr(‹81&-r'E9'#$€@r-,'r"r-Gd82$##$] &'#(&>3R49-8202”,$n#R4#80L,-Rr'1#,$Ž8n9'1#9'#$[$n9'1&$U*V§8n#$[tF§#$[Tr',G42,'$]=S>4r-'02[‰Nr'G344-'02,WU*V§8n#$/8n8r'GI$n2$5(*&'2/$nG4r'7A>13r<@89'n$#[JL&>rœr',S>9V441#452r',nF3R4#0ra8r'$n@$n<2&tF§#$[Mr',£L4”Ze3(Br',&'#`14020G49'#$V44-<VB9'$#,RrB8G4r§rBI#$`@4Ir','¡"r'Gi$nn$5(r9'#21@3e89'n$]WZPr?5@hk4k-5r',-r",$##$5(8&'#O0130-rDr',5(‘'#n82$O‰8&-$#G4rB8$5#nor14r-$1#9-87R40>$'1f2$F8#rr'5#n8#!&>r¡-&'9'$n2Ra$1&^].&'#(‹02$Kn#RrnL#,8&'9'$q1'n$n$rn<2&r"&>9'$n2R4¡§$n3n1&.n#8nrR0g["r',a1#4r'1029','#,*&>Lr"&>9'$Ž87R4f$1&P4r'G14'#$$n,$#2$2$/rKz$n8#+8&'ri$'&'$Ž8213,i2r','r"2r'G']/WXr',ST2r'Z*02$q¡"#rB,n<2&*r"&>9'$Ž87R4!$31&i4r-G1#4'#$$#,.$nn$#[‰r',*$&'Vno,K&><7M002}no,=z$Ž<¡§8nrR0g[02&'49'G4&I2$8&-4n#8213082Y1'02r"2(fnL$O02r'‚r&'F,>85$nL$n”fpWO8e3[hk4k"4>ST2r'Zar-,.WO[‰hk4k4jz],'$n1n5‹r'rn8#1&'r'E9' @4=&'281&'21302r','¡-2r'Gr',r82#R0f!82$#2$[5(P$$nG4r-r'Gnr'1f02#R4#0$<82$M¡8#q"[\n<&-1&i,'$Mr'M2rR402RI¡"'0212,'2#r'$24r,-9'1#4r^]€)/028&-49'G4&d8&-no4$Žn§13$n1#4-0r"7(io8&'€'n4$, r8n#R0'n"1#,'9'n$o02r'3Yr8&'+,>5$+$”#[8&'f3R8G4r§13$n+82M$o10$+`04G478&'1]¢

PAGE 15

š{'‚|Vv8TX`{>Œ3xzyišI~‰Cy4v‚|}ŒMn#Rrn5$1<0G44n2&'$Tr',€,>8f$n8n9'1#9'#$o9-$,r`&'<,'$n15#,no4nZ‰[r-109-,'r'G$n8r',>,$n9'1r89'n$ZYg 1#4rj-]2[r',n'n$#rB4rMK$nn$Y– "1r824rj-]_h[r]*&'r,'rA>r'.,-$n8r'1#5#no#rno#E9>07§0#r'G8&a$##$r',G42R=28$5$21'n4#n$Y– "1r824rKj"]_j[¡]T>=z\av‡@{-|VvwŒ#|VeCy|}‚evŒ‘{>Cw{>‡@ˆ‰~\ex|Š‹ŒFrR"2#n8&'5$21F,>8+$n9'1r89'n$Yr',€0G44n2&'$‚9'$n,€rI8&','#$1#5,`no4nZ‰[4n<&-1&r-109-,'L$Ž1Z$[B02r'Z,`02$Ž8$[#,"§501ZD8#$<£F3(4#[>V44h":D9-5$Tr',€ ,'G4rn<1Z\[\VBe–[8r'G4d8n$‹X,-0$59-r'r'#[‘V4-#–[r',œ8&'1'9"4r4,-*$n882$n821$ 6/B[V4"4‚£L09-rf?5@[YVBj]=),'#802, ,'$n12-824r 8r'G4€8#$I$!3R0?50‘2r -#^]c$V4k4-[CV44k554Z$[^r',q,'#$1n-4rKX8&-$Ž89-1#89-$f2rK8&-8¡"54Z5(PJL4n#rrL?5@hk4k"]T>=z_=z|V{'ye„…Œ€{>Cwœ‡–xzC„\vw‡zxzŒ#|}Œ)rH`a2$qbCn0?$Žn§rA>$Žn§49-cE$n9'1r89'n[n<&'1&002}n<$,-,'r'Gr-#n02rBar',#VRr-G€&'D0?$ŽM,','#,.#0##r<2r*14r'$ŽrBM82])edgf h^?ij?*aBFdN?rF2$<€$nE9'#r'1<#0rB$8Y–ST2G49'naj-]7V[¡[Tn<&'1&020Vn<$I83R4#$nr'Gi&'a02rB8$r#28&-`,'2#1#824r^[r',K,','2r'Gr',KnVR"2r'G€02rB8$/4r.#2&'Mr',]R4Ž(K#0##r/r*8&-I02$n<2r'1029','#$‰4rB8#$X8!8&'M'rR49'$or',qr'ro0##rB8$[",'r-8#,‰8lkl?rqr>r',.n4l?rqr>]rq502+j"]24[Bno+$n9'n”F&'Mq2r#84r'$X$n9''‰4n,5($n81Z$Fr-,q02r'Z#,q02$n$]T>=z_=P7\avwnmT‡@{>y}„|3evvŒ)8Fdoh^?7H`aPz8a2$P,>.$n8n9'1#9'@4I2r8r-r'G*P$4Ž8,‹0$Ž3[‚n<&'1&002}n<$Dz$Žr8n#R0–[2r'$#n824r^[r',,'02#4rio#0##r$]I&'$+#‘$fqRn#(.52r>n(B§$31&

PAGE 16

3 3 4 5 6 1 headtail 3 3 4 1 65tailhead(a) Linked list.(b) Red-black tree.STG9'Dj-]74%O…BVf6^D45'Vr‘44OnŽrprq!'nŽ50!j-]74%(s4B<54x”HP_¢r—R‡Œ¨5™cŠ5‘#€x”tt3¢l—R‡Œ¨P™FŠ5‘nb$n#B0nnLO¡¡DrgYHnb¡"l2Vw¦n}§BM54 8nY–ST2G49'n/j"]25[r[n<&'1&r'1#09','#$L!#1&>r'2$@450r'1#r'Gf8&-M+8#Xr'$nn4r-$r',,'02#4r'$#]‚D8#+2r'1029','$(K#0##r$[2$o&'#G4&Bo$oo4$ŽLh02GxY "t[¡[-r',q8&-9-r'r'r-Gq82IO8&'q2ri4‰824r'$+2$"Y >[r]frd502‘j-]_h"[no‘$9'2”D8&'‘r4‰824r'$$9-'n8#,5(*n,"§50?1Z8n$#]&-8#D0$n`r-109-,'$`$n1#4r',>Ž(=$n9'1r89'n['n<&'21&*$F`,-49507(a02r'Z#,a02$nL0002rB8$<2r=$4Ž8,P4n,'#[>$&'Vn$&-,K02r'#$FrPST2G49'nfj-]7Y5[¡]OM002Vn<$14r'$ŽrBŽ§82^8&-+r'2q0-r',qe"2q0-0##rB8$["r',z$nY83R4n$80^#0##r$L2r$n8#,.,'#]50+j-]_h"%“s4V'nŽ&t~$B*nrqunbrprq"!'nbrvByn$H4+0Dy3Br|V'nŽ^pty4o+}&n4!04NB%$%q'n(‚¡¡Drgy{“B%nbfV45!4$BrYt$qu‘44'Vr44¡¡frz“444'Vrpz44BV-nn&tO44r<4{&q64-t¦q ‘# P_Š‚„#„c€_¨¦‰ƒg„Ž‘nŽ$n‘€¡¡frg((‘}+t2VrN4B8P3¢r”—Š‚„#„c€¤„‡„ˆ„c‰HŠ5‘H€B¡¡frgB6nbx”Hg”— ”Š‚„„€3„c‡4„cˆ„c‰HŠ5‘¡M‘¡¡Drg“¦n}§6nb

PAGE 17

50*j"]_j-%s4i¡¡frz}yBB< t4z~n$!c$nb1¨¦‰ƒg„Žz†&¨¦‰HŠŒ‹5B8¤B< t4z4B0n#+t4V*f%nr0 t42V04g+Vnc‘…^›‡H„r†&¨P‰ƒŠŒ‹23V4$B6¤B< t4z0¦nb¡V_23V4$B‘Š#„r†&¨P‰ƒŠŒ‹šu'6>B< t4z0rp@ t4z€47%$€Dw$<€n(tp@8nb¡!VP‘‰*„ŽtŠr†&¨¦‰HŠŒ‹ t4znB%B8O t4z“4B0!c}DnbrrNnrƒ‚„c…&†&¨¦‰HŠŒ‹ t4znBMnb2t$ t4z~5B,!c}fnŽrrn#r¦q*‘y4tV-¡¡frz“>B8nb¡DVp@ t4z“n$!c$nb1™#¨g„l†&¨¦‰HŠŒ‹šu'6>B8nb¡%$en5!c€¦€n+tz€n(&#‘¨¦ˆ(K†&¨¦‰HŠŒ‹D*nb!8|¤8nb¡w$*t2V6nb¡VK23V4$B‘!l‘¡frz>B,$!c}Dnbrrp nr~n$H!c$nb1‡¦‡Œ ™F¨„r†™„‚#¨r„F™š‹z$%q'n“*t5g&¨¦‰HŠ¦™†™„c‚F¨r„F™ ‹&nnŽru…V' t4zƒ‘T¡frz“¤B,!c}fnŽrrp n#rn$!c$nb1‡¦‡Œ ™F¨„r†™„‚#¨r„F™š‹$,q'n^ t4z4B0n4+t4V nrœˆ(* ™F¨„r†™„‚#¨r„F™š‹$,q'n^ t4z4B,!c}fHnbrrbnr&¨¦‰HŠ¦™†™„c‚F¨r„F™ ‹nbrprq"!'nb0…V' t4z4B,!c}Dnbrrjnr€48rqurnX!805B0n+t5V nr T>=z_=PT€ewCv=Œ#|3{-|}xzŒ#|}xzyBŒ&'UeFdr€rzrzR`qMr3(PO$!8&'8U8&$020$Ž#0##r[T8&'`2$[8&-02rB‘8&'‘nL9'0,5*r8&-U8&'01*‘$n4nr'Gi&'*3(4])/r,'#Ž§$Ž$Ž8102G4478&'P[}x\Yz>[B[“U [r[Tr''9"8$IKG42Rr83(r',8&')U R09'[r-,r89'nr'$8&-r-,'rf8&-U8&$nq00#$n02rB3[n<2&'49-q$4Ž82r'G‹8&-iG42Rrœn83(4]6MBn34-,'rR4024‰,r0G42&'@4`A>r',-r'Gd8&-U8&4,-‘$n882$n1qn<78&02r'33R4G4¡§13$82]›‚8#[L£L09'r`?5@VBj-4‰4$#,r0G478&'n<28&8&'*no4$Žn§1$K0r-382[Lr',ST02V(",r',tM7R4#$nV44¢'n}R,8&'.02G4478&'@4z$n3R4G4¡§13$1'9"4r^]T>=P7\avCevŒv|3{-|}x@~~‰™<|}xzŠ‹vPŒvexzvŒ!n'n$nrBf`82+$n#$+$<€100#1#4ra‰4rB$Ž89-1#89-$#[8r'G4,*2rrK83(4,§501Z#])‰4rBa$Ž8n9'1#9'd,'#$1#5$*$n#17A>1i‰4rBaf8&'i.$n2$#[r-109-,'r'GK28$‘2r','¡[OR029'[O([Fr-,‰42rn$`8d8&'=-#R249'$€r',r'¡"‰4rB]$9-2”+&'Dqr=02rB8$
PAGE 18

)/rxdnYrB+2$+78$M4$n24rPrdrK4nG42r>0…9'r'1#4'#$$#,$n#$*l&5P5-[n<&'21&‹$Dr‹rBG4#jke?f>5rnL#rr',DT[r',8&'€R09'‘L8&-‰42r!2$D&'€14n¡§$‰4r',-r'G0…R09']F&'ši><$&-}n<$/n<&'#&'M8&'!rBM$MrK#r',"§42rB/T8&-I$n2$#[r'2`9'P[Bqe"2`9'P[r'4r§r042rB3]OS>4L&'¡"#q0rB8$#["nofq3(q0$n4-4r'007($n4P8&'#("‰$ar',2‰4n8r'1#P02#R0$#].n<200e€$n8n9'1#9'!@4T&'F2r','r\1&€42rBT$Ž89-1#89-rI8&'F1#4'#$$#,€$n#$14n#$‰4r','$2$‰4$78r2r&'/Gr>0-$n#$]XS>4Xr'$Žr-1["2nL/14'#$$Y8&'M$##$L2rqST2G49'n!]25(r81r8r-G&'I1#n10#,*r8n-[>8&'#r.noIn'n$#rB25(=8&-I#G4&Bn§02rB8n!$&'Vn0202(Kr'1#09','.n,"§50?1Z#8&'`8r'G4$I2$!¡8#q5(‰4n8r'1["n<&'21&K00Vn<$Fz$Žr'2]‹Kn<200,'#$1n5f8&'2$F8#r',*08#,*$1#4r',>n(*$n9'1r89'n$/r.JL&>-/¢"]T>=PTu*x–Œr|V{>Cy4viŠ‹v{>Œ3‚}vŒqrB,'9'18&'r'4r8&','$Žr-15#no#rnLdr9'5n$[,-#A>r'8&'a,-$n8r'1#5#nornodE9>0§02r'G&$nn$`$I&'a3rF8&-IrBn§5(B§42rBI,-$n8r'1#$[Xr',G47R45$n1f'n4#n$,'2$nr'1#$]

PAGE 19

index 5value 5type maximp 4side right index 2value 3type non-ext2type end1index 1value 1index 3value 3type non-extindex 4value 54side lefttype maximp 45index 20value 5type end320Y–[L)/V(a-$nrBe8r^%XFnL#r(B§42rB+9'r-14'#$$n,K$nn$#] 9index 1value 1type end1index 20value 5type end20index 4value 54side lefttype maximp 4index 5value 55type maximp 4side rightindex 9value 3side righttype minindex 13value 513side stricttype maximp 4index 15value 1side stricttype minimp 3index 7value 2side lefttype minimp 37imp 3tailhead15Y5[+t$nb-&4-&€X"nbnbrbrgb&ty!c}fnbrbr.2Vnt_€TD&n'Vr.qzu!n!r4">+t$nb"-&4-&Vk

PAGE 20

T>=PTn=zuPxzŒ#|V{'y4v.Ov|¡†vv}v{>‡:-{>‡–‚vŒT>=PTn=zK=zu=vCx@|Vxz~‰)'drg¤`5#no#rn30XR09-$2$*nLe§bnG49'rB@9'r-1#824r^[,'r'8,drRY–Kl[¡[T8&>e$8e8$ŽA>$&'f@4002}n<2r'G`1#4r','78r'$%S>4rR4Ž(=R09'D>[drRY–KH[Ok-]S>4rR4Ž(=nL€R09-$Mar',PV[drRY–Kl[XdrYzH[r]S>4rR4Ž(=8&'nfR09-$M>[\}[\r',e[>7TNw}[&'rdrYzKl[6drRY–K[Fr',drRY–[6drRY–K[r],'r'$$9-+&>o8&',-$n8r'1#5rnL#r=no‘,'$Ž8r-1#YR09'#$F$oG48#o8&'r”#'"8&>F$[ndrRYzKl[Lq3(5f”#`@F,'$Ž82r'1#e,-$n8r'1#I@9'r'1r824rK$82$nA>#$/8&-I8n?r-G40Dr-E9>022(4[>&>/$[drRY–K[<3(5IG48#8&'rdrRY–Kl[ndrYztc^[¡]T>=PTn=zK=P7+…{'Š‹T‡@vŒ&'D@4002VnH MRrOT>=PTn=P7uPxzŒ#|V{'y4vKy4~ŠO~Œx@|}x@~‰ir'r=,-$1#5dG4r'#80/r8&',@4145r'2r'G‹,-$n8r'1#.@9'r'1r824r'$a2r41'02ra,'$Žr'1#f@9'r'1#4r]T>=PTn=P7>=zu=vCx@|Vxz~‰)dr¤`loF`e+>Vrzge‘@9'r'1#4rP$M€07§gR09'+@9-r'1#4rW~YšV*r^P5PcVF[4r.r-4r"§r-GB2R0…nG49'rB8$$n9'1&*8&>%Y–k*&55Pk[k‘r',Zi$L4r-84r-13002(€2r'1n3$nr'G‘rP1&*2$
PAGE 21

Mdrrr^P5PdrPY,'2$nr'1Y@9'r'1#4r-$[4r',<~Y V*r&5P5Vc[…$<,'$Žr'1#r§14$24r@9'r'1r824r^[-&'rW~YFdrYz_8[r&5P5tdr5Y–Kl[#[2$<‘,'$Žr'1#f@9'r'1#4r]+,-r'M&'+1#44$n24r€…,-$n8r'1#$5(Wdrz&>o$[3drRY–Kl[X~Y#dr^YzKl[&5P5tdr5Yz_8[#[r]+$n&'Vn&>dr$8$ŽA>$L&'+&'#'#n82$o‚,'$Žr-1$$Ž,=2rN#A'r'24r*j-]cj-]74]S>4rR4Ž(=R09'D>[drRY–KH[O~Y#drrlY–KH[l&55Ptdr5YzKH[F[O~Yzk*&5P5k[Tk-]S>4rR4Ž(Par',PV[BdršY–Kl[X~YFdrYz_8[r&5P5tdr5Y–Kl[#[Y~Y#dr^Y–H[l&55Ptdr5YzH[F[XdrRY–H[r]S>4OrR4Ž(‘8&'nR09-$Y>[}[r-,}[B2%e[4&'r"drYzKl[O~YFdrYz_8[r&5P5dr5Yz_8[#[|~YFdr^Y–K[l^P5Pdr5&Y–K[F[XdrRY–K[r[\r',drRY–[Xb~Y#drrYz^[r&5P5tdr5Y–[F[y~Y#dr^Y–K[l&5P5tdr4YzK^[#[OdrRY–K[r]‘r'¡"!G47R4no*$‰1#?01$#$DY,'$Žr'1#‘14‰4$78r^[‰n<&-1&&>3R45r 9'$n,r=&'D'0##r,=$Ž("$Ž8#.]T>=PTn=P7>=P7+…{'Š‹T‡@vŒdrl&5P5tdr4I€,'2$nr'1€@9'r'1r8r'$[Cr',wr&5P5c6!n‰4$n287R4‘noG&$[C8&'#r8&-@4020VnD&'n$n#1#87R414$24r-$f,'2$nr'1€@9'r'1r8r'$5(8&-!-4‰Ž8#$r. "#1#824r.j-]_j"]¦h"]T>=PTn=PTuPxzŒ#|V{'y4v.Ov|¡†vv|}xzŠ‹v.ŒvexzvŒq,'rA>r'&'q,-$n8r'1#5#no#rnoK#E9>07§0#r'G8&$##$$I8&-,'$Žr-1r‹9'027§,'2#r'$24r>0C$>1]!&'‘,'rA>r'78rdr'1#09','#$+noP'8#n$[…a,'2$n8r'1I@9'r'1#4rdr@4n30^R029'$
PAGE 22

123451 2 3 4 53222valueindex1ST2G49'!j-]cj-%F…BVf%nB%5b!8,q'šr f%bnr“R>B}4b!8,¦$H!ct¦nnb¡VK23V4$Br5,,8€Br<04bH!86q-šrBr,n#r4“€j|4bH!804“4-&/1V 23V4$BrX&nŽ,4+VrBn5!6$T>=PTn=PT>=zu=vCx@|Vxz~‰S>4DnLi#E9>07§0#r'G8& $#2$[ l^P5P8.r-,^l&5P5c'[Tr',P,'$Žr-1@9-r'1#4rdrX@0^R09-$["8&'D1#$‰4r','2r'G,'$Žr'1#@4F8&-!$nn$<2$Y–*H^*dr[O 4Y#drYz[F[]T>=PTn=PT>=P7+…{'Š‹T‡@vS>4Dr-'0[1#4r'$n,'#!&'noK$nn$!rST2G49'j-]cj-[r', $9'-4$n&>!nL,'#A>r-8&-,'2$nr'15rnL#r=0\R09'#$L$D=PTn=PT>=PTu=vy4~ŠO~Œx@|}x@~‰ "9'-4$n`8&>eVnrcl&5P5Vnrfn`,'2$nr'1@9-r'1#4r'$/@40R029'$#[…r',.w&P55c6fn‰4$782R=nL#G4&B8$#]&'#r^[L@4€#RŽ(no‹$nE9'#r'1#$* l^P5P8 r',^l&55Pc"[r',#RŽ(‰4$782Rfr9'50"["nL!&>3R4%Y–*H^*#Hdr[  4FYrHdrY–[#[ # YFdrY–[F[ #HYšY–*ƒ^Htdr[#[Vj

PAGE 23

š{'‚|VvŠO~‰V|V{'|9~‰x–‰|}Œ,'$n1n502G4478&'$O@4L1#4'#$$2r'GM$nn$5(r81r8r-G`qVUn4L¡"#q`r',,'2$13,'2r'GI&'&'o42rB8$]STn$n3[no,'#A'r'+8&-qr€("‰$…r8n-['r',a,'#$1n5r=0G44n2&'8&>eF,-rB87A>$00\r8nYg 1#4r=l-]2t[¡]&'#r^[-nofrB8n",'9-1/&'r'8r2‰4ŽrB!r8nKr-,G42RqP'1#,'9'nq@4!,'#r2(r-G*&'Yg 1#4rl']_h[r]=02$*,'#A'r'&'€nr'1`02#R0OLr r8n`9'r', '#$rB*1&'r-E9'€@4f,'#b§r'2r'G8&-!2‰4Žr'1#$Tr8nYg "#1#824rPl']_j[r]XST2r>007(4[nL!G47R4!r.0G42&'Ÿ8&>e1'n$n$$/€$n#$/eM€G2R4#r.8jY– "1r824r.l-]cl[¡]M=z+^|3evŠ‹{5G42rn<78& $n'0=1#4'#$$24r5$#,4r8&'Pr81r8r00Lr8nY–SG§9'nil']7t[r];i,'2$n82r'G49'2$&@49'q(‰$=D¡"#q-[<1002,$Ž821#[M02#[G&[r'7824r'$fo$n1r3[…02#3[G&[‚r',d“\Dr--8&-!,-#A>r'7824r'$F@4e"`n!$n0]M=z_=zu*vTx|}x@~‰~\™/Š‹x–Cx–Š{ "9'-4$n!&>M*l&5P5‘2$<‘f$##$[\r-,K$M‘‰4rB
PAGE 24

valueindex(a) Strict minimum.420valueindex(b) Left and right minima.420valueindex(c) Flat minimum.420ST2G49'+l']¦h%sj4HDw4‘nrM/(1TVK23V4$BrO&nb%4+VrBn4!6$H$eX5P! #"%$& "%$r]$¡g!‘>e')(+*$,'-(*$P5O]$P/.Fq‘>e')(+*$,'-(*$P55P! #"%$& "%$r]M=z_=P7š~‰Š‹C}vŒ3Œ3x@~}~…y4vwCC}vrST2G49'nl-]_j-[CnLqG42RqP'1#,'9'8&>I,-rB87A>$I00X¡"#q.r',,'r8#r'#$!&'2(#$F78Z#$‘0r-3!8r',1r'$n8rB€#4Ž(4]d&'2$`'n"1#,'9'n=13r'n"1#$n$‘r'#n‰4rB8$/$M8&'r(K7R4[\n<78&'9-+$Ž84nr'G8&'I42G4r'0^$#2$‰@4R`ršiV…9'$n,Pr=8&-!2r','¡-2r'Gr',Pr82#R0^$##$YgJL&>"8+¢[¡]M=z_=P7>=z1~‰C~>|V~‰Cx–y*y4~‰Š‹CevŒ3Œxz~‰ "9'-4$nI&>+ &P552$+‘82D$n2$#[r-,i32&55P542$/78$<14'n$$n,iR$n4r]&'1'n$n$r!2$Oqeebe>R`2b[3@…#R4#n(D1#4r'$#19-2Ro2r','1#$6n87r',9n:7rf&'X14'#$$n,$#2$r',KrR4Ž(K2r','¡;nYrP8&'!4nG42r>0^$n2$#[2n87¡[\8&'#ri78&'#+&?;&?@A24<&?@A2œ?]}¢

PAGE 25

4CB^…‰"/DEGFIHKJLMONPMQLRSTPUWVYXFITZRF\[6]^TP_IX&TP`aMcbdV%[3MQegfihEkjPMlX&THSmVnXokfVYX&enMZo#Md[:XMWoM &P55IpCV%jPM9FISmV%HSmVqXorV%jPMNdfL!SPMoOstX&TP_IXUMWoWsufTP_vVxwHAMWoyFzR{fL!L\M%bdV%[|Mde}f~hnh†xz‡@vvn“r-,K*w‚~n=n3œx@™€n“r',K*L|vnƒ‚""6„…""‚""}…‚"jYn[†xz‡@vvn“w‚~n†‚""‡„^¡"/6B""}…‚"Yxn[n†‚""‡„^¡"+"C""g…C"Yn[ ‚-"6„^¡""‚""}…‚"Yxn[DˆIX&TP_vV%jPM‰]^[|oŠVge9X&TAX!eSe‹fmRVŠMQ[6V%jPM9n:V%jvHAFiX!TmVOh?¡‰=n†xz‡@vvn“r-,K‡Œw‚~n=n3x@™o')(*$|v"?¡‰>nx@™€n“|v'<………u……BC……\"}…‚"Y?¡@[n[(Cnr E[r}vB|}Cen3œ ‚-"6„^¡"+ŽB""}…‚"Yxn[DˆIX!TP_vV%jPM‰]^[|oŠVgegfKb\X!eSefmRVŠMQ[6V%jPM9n:V%jvHAFiX!TmVOh?¡‰=n†xz‡@vvn“r-,Kœw‚~n=n3x@™o')(*$|v"?¡‰>nx@™€n“|v'<………u……BC……\"}…‚"Y?¡@[n[(CneƒE[}vB|}Cen3œ '<………u……BC……\"}…‚"Y?¡@[…rgz[… i¡>F[D}SmV%HSmV,V%jPM9McbdV%[3MQegfihx@™,?¡‰¡g|v~…|V‚|“Y–& "%$[…¡g–[ši>#[“Cn$n21#cE[v‡–Œ#vq~‰‚|3T…|(Y–')(*$[n?¡z[… i¡>r[(Cn02#FE[™~\g.F‰?¡D|V~‹¡g'!w‚~~…|V‚|“Y–\*%'$[A.z[… i¡>r[(CŽ“>cE[~‰…|VT…|(Yz& "c$[…rgz[… i¡>r[“CŽG&FE[ ST2G49'Ml']cj-%{‘Mn!8r$nŽ(¦n~5Brg4Pu4+MV78nb¡D{(BYn!8r$nbYn!8r}nrB%’%“5“5“5’N$rL+}qVx2&n#&qk”nbHnbrrz5•R(t$H$“B%2V4$r€ƒ4H4!8r€H u'r^8nŽ¡DV

PAGE 26

nL/14'n$$oD$n#$5(€$#0#1#82r'GI00>$Ž821#[02#[r',G&Y¡"#q-[024r'Gfn<2&8&-!#r',"§42rB8$['&'r*8&-!n$n9'02r'G‘1#4-$n$24r.2$r'8r'1]M=P7#Š‹O~\}|3{>|vB^|V}vŠ‹{Y1rI1&'rR4oM&-G4&'#…14'n$$n4r!8e85(D$021r8r-GMr'02(+1Ž2rI2‰4ŽrB…¡"#q-]f14rB8n40&'f14'n$$n4r=8n<78&*‘‰4$782R>#8#`>r=2r'1n3$nf023,-$8D8&-/$n0#1#4r@rnL#L‰4rB$]T/G2R4M!,'#A>r-2824r€^2‰4ŽrBXr'2q-[0209'$Ž88e8,rPST2G49'nl']pl''8&'D,'rA>r'78r=T2‰4ŽrBe"$$n0]M=P7n=zu*vTx|}x@~‰)‰42ro‚I$n2$L l^P5P8!2$Lr.+>e¡>‘>$9'1&P8&>$<‘r'2`9'4r'G'r&P55[>r',drRY–8'¦[Œr',drYz[Œ`]rB9'22R4#02([2$…rDnr2r'9'22^$&'O2r'0VR09-"$4$#G4rB'r&5P5["r',8&'/r',"§rBoR029'$Y^&'$o$#G4#rBn/`9-1&a0?nG4X8&'ra]T+r-r,'rA>r'!$n8n1r3['02#3[-G&[>r',=“\e/2‰4ŽrBr'2q"]M=P7n=P7|Vexzy|x–ŠO~‰V|V{'|ŠxzxzŠŠM=P7n=P7>=zu=vCx@|Vxz~‰)Ÿ‰4rB!o*$nn$!*l&5P5=2$Dirz¡R`r/+>e¡g><‘>$9'1&P8&>e$$Ž821#02(a$nq00#o&>r.' ^P5P8r-,Kr^P5P8[\r',drRY–8'¦[Œr',drYz[Œ`]M=P7n=P7>=P7+…{'Š‹T‡@vaG42Rar‹r-'0
PAGE 27

M=P7n=PTYv™g|qx–ŠO~‰V|V{'|ŠxzxzŠŠM=P7n=PT>=zu=vCx@|Vxz~‰)rB‚'$n2$*r&5P5<$‚"?¡+>e¡g>‘>$$Ž821#02(a$nq00#o&>r.' ^P5P8¡[$r'€0G4#F8&>r.l^P5P8[>r-,drRY–8'¦[Œr',drYz[Œ`]&-I,'rA>r'78r=‘nG4&B<‰4n8rB2r'9'¨$$220?#]M=P7n=PT>=P7+…{'Š‹T‡@v!$n&'Vn0r|ŠxzCx–ŠCŠM=P7n=™M=zu=vCx@|Vxz~‰)‰4rB+Ya$##$f$+l.+>e¡g>‘>0r3['4nG4&B<2‰4n8rBFr'2`9'P]=0209'$Ž888&'2$‘,'#A>r-2824r2rSG49'nql']pl_Y@1[rLrB89'787R407(4[Xi‰4rB‘2$€K“\€2€§‰4n8rBD2r'`9-7L7f$fr'€L$n#R80Y#E9>007(i2‰4n8rBfr'2qr$4‘$#G4rB'r&5P5]M=P7n=+šš~‰Š‹C}vŒ3Œ3x@~}~…y4vwCC}vrdST2G49'nIl']c-[>no`G42R`'1#,'9'I8&>/,-rB87A>$M8&'I4ŽrBMr@+qG2R4#r`[r',,'#n2r'$O8&-<(‰/^31&¡"#`9'P]&'$X'n"1#,'9-M$Yr€r8#r','#,qR4#$24rC8&'D1#4-$n$24rK0G44n2&'¨,'#R0#,5(PWO8nMr',.STr-Zhk4kBh]Y13rI14'#$$M$nn$5(D$021r8r-G/78$‚$n1r3[e0r3[r',nG4&B‚2‰4n8rB‚r8n@4‘.G42Rr`[X0r'GKn<2&8&'nLr-,"§‰4rB$[Xr',,'2$1,'2r'GK&'a&'‘‰4rB$]rST2G49'Il']_¢"[no‘$&'Vn8&'$021r8,¡"#qq@4M8&','$Žr'1#K‘4'n<2&j"]D/8&'X8&'M#$9'078r-GI1#4-$n$24r3(‘r'5M4r'84r'21B@4Xr-'02[B8&'M‰4rB8$Y\›Lr',V

PAGE 28

value024indexRvalue024index(b) Left and right minima.Rvalue024index(c) Flat minimum.R(a) Strict minimum.SG49'nl']pl'%~f nbgo4!¤/1V_2V4$rO&nb,4+VrBn#4!6$r indexvalue 2 4 6 8 10 12 14 16 18 20024ST2G49'€l']_¢"%f nbz<8nb¡D¦n,4b!8K(œ‹§=lbBn4!c8nb¡D"qu!n#!r€B¦Xn+tz8nb¡!"qzuVPp !n!r€H`rp@ t4z~qzuŠz$&nbrM/1V 23V4$BrX&nŽ,4+VrBn5!6$*XrST2G49'Ml']_¢!+1#4r'$n19"82R‰4n8rBX42rB8$[59"L8&-MR029'/‚ŸF$<e5rnL#r8&-DR029'$O\›/r',P r]€13r1&'2#Ra=&'G&'D1'n$n$r 85($#0#1#82r'GP4r'02(K$n1rIr', 0#D¡§8n-[Y4€4r'02($n8n1rqr',nG4&B€r-]&'.n$n9'02r'G1'n$n$r$€4r'4r'21&'Vno#R4#[7€q3(r'-$nŽR4K2r-@4nq4r59-‘“\r',r'Ž§g“\#G44r-$‘f$¡§E9'r-1[‰$9-1&i$F&'D$G#r+\›^&5P5*LrPSTG9'fl']_¢"]-nLo14'#$$/$n2$5(I$n021#r'G/020B$n8n1r2‰4ŽrB‚r-[00B02#YznG4&Br[‰4n8rBXr8n-[-r',&'+#r',"§42rB8$[B&'rq&'M$n9'02r'G!1'n$n$r2$o4r'4r'21]Xno‘14'n$$a$n#$5(i$#0#1#82r'Ga4r-02(P8&'`02#r',d$n21#¡8#q"[nL‘100C28&-?¡%`e+‰8rgex@M "007(4[-7no9'$n8&'I2G4&B+r',i$n21#/r8n-[no100‚2M8&-¡g0`e+‰8rgex@OTnoD9'$!$n1r3[>02#3['r',*2G4&B0$n#$n<2&!&'L0GC`]&-L1'n$n$,‘$nn$C'n",'9-1,9'$2r'G8&-!-1,-9'!r*ST2G49'nfl']_‘&>$M2r','21$#[-R09-$[\r',P(‰$MC8&'D‰4n8rBrB8$2rV

PAGE 29

""\'T"C…‰'"……DEGFIHKJLMONPMQLARSTPUOVYXFITRF\[6]^TP_IX&TP`X&eZHAF[+Vf\TmVnHAFiX!TmVŠohEkjPMlX&THSmVnXokfVYX&enMZo#Md[:XMWoM &P55Is_IXoVfTPUM‰RSTPUWVYXFIT8drxsufTP_qNdf\L-SPMzpV%jPM9FISmV%HSmVnXorV%jPM‰Ndf\L-SPMoOstX&TP_IXUWMoOsuf\TP_¡V:wHzMoyFzR‡V%jPM9o#MdLMWUWVŠM_;X!eHzF[3VfTmVnHzFiX&TmVŠoWhn†‚""‡„^c‚""…Vx@™€n“r',K*L|vnƒ‚""6„…""‚""}…‚"jYn[†xz‡@vvn“w‚~n†‚""‡„^¡"/6B""}…‚"Yxn[n†‚""‡„^¡"+"C""g…C"Yn[ ‚-"6„^c‚""…}DˆIX&TP_¡V%jPM‰]¢[3oVqX&eZHAF[3VfTmVgHzFiX&TmVOhn4…3£KI¤‚¡‰4…3£KI4^3£d3Qnx@™o™¦gm! #"%$Œ|v3£KI')(*$[|[nx@™o! #"%$Œ|v¡g\nx@™€n“|v'<………u……BC……\"}…‚"Y?¡@[…rgz[(Cnr E[}vB|}Cen3œ ‚-"6„^¡"+ŽB""}…‚"Yxn[DˆIX!TP_vV%jPM‰]^[|oŠVnX&eZHAF[+Vf\TmVne}fb\X&eZSefmRVŠMQ[6V%jPM9n:V%jHzFiX&TmVOh?¡‰=nn…¡g‰=n†xz‡@vvn“r-,Yzr')(*$4drRY–'-(*$>#[|[nx@™o! #"%$œ|v¡g\nx@™€n“|v'<………u……BC……\"}…‚"Y?¡@[…rgz[(CneƒE[}vB|}Cen3œ ST2G49'!l']c-%r‘Mn!8r$nŽ,¦ny¡r!c4+7f nbgo8nŽ¡D(=n!8rLn#rc’%“5“5“5’$Fw+}qVƒ2&n#&q”N}nbnŽrrg~~5•n{“on!8r$nb(t$ƒ$B23V4$Brr€54!8r€ u'rn¡r!crNf nbzT t4zhk

PAGE 30

'<………u……BC……\"}…‚"Y?¡@[…rgz[… i¡>F[D}SmV%HSmVnX&eZHAF[+Vf\TmVqHAFiX!TmVŠohx@™,?¡‰¡g|v~…|V‚|“Y–& "%$[…¡g–[ši>#[“Cn$n21#cE[v‡–Œ#vq~‰‚|3T…|(Y–')(*$[n?¡z[… i¡>r[(Cn02#FE[™~\g.F‰?¡D|V~‹¡g'!w‚~xz™Y\*%'$')(*$|v~…|V‚|“Y–\*%'$[z.–[^ i¡>#[“CŽ“>cE[~‰…|VT…|(Yz& "c$[…rgz[… i¡>r[“CŽG&FE[ ST2G49'nfl']¦%{(4+t$nb05“!ctg5z$&4t<¤">+t$nby) indexvalue 2 4 6 8 10 12 14 16 18 20024ST2G49'+l']_"%y’yn+t4Vƒn#rnbrnŽr¦n}B,!c}fHnbrrbnr“4<">+t$nb-&4-&8&-!Gr>0‰$#2$]X!,-r'f8&'Dr9'5+&'#(.n2r','r"#,K@4I84]<‹I9'$!8&'I'1#,'9'n`rKSTG49-Dl']cn<2&r'4,'2A>1824r'$@4<#14'n$$n4r]0Y$n#$]S>4`$n021#,nrrB‘r&'=r-'9-‘1#4-$n$#,$#2$[X8&-'n"1#,'9'nr'#,'$F5/,'7A>,8`49"8'9-o8&'+r','¡a^8&'+42rBL2rq8&'/42G4r'0>$##$r-$n8,P&'Dr',-r=2r=8&'D1'n$n$,.$##$]M=P7n=|PCy4~‰Š‹CevŒ3Œxz~‰&'D,'#$1n5,P14'n$$n4rP$w?Vli}n<&'1&P3r'$&>no!1r'r'<$Ž84n!&'f4nG42r>0$#2$<@4€14'n$$n,KRn$r^]Tnor'#,K1#4r'$Ž89-1#frK-'3"8fR$n4r.8&-4nG42r>0^$n2$#[no13ri9'$0r-32rn40824r^[>2009-$n88#,*riSG49'nIl-]_-]M #12A"§13002([no`1r'r'1r!14r'$n1#9-87R4‘‰4n8rB+‰4rB$5(i02r'!$G#r$[‚r-,,',d‰4rB8$+4r8&-$€$nG4rB8$#]‘r'rDG47R4€549'r',4rd8&-‘,'2nr'1#5rnL#r&'‘4nG42r>0‚$##$r',P2$#$n8,*R4#$n4r^] 9''‰4$L&>no-'02(!$n(r8n1[0r3[T2G4&B1#4-$n$24r8+$##$O*l&5P5-[r',*8&-rK9-$!0r-3F2rB8n0?4ran$Ž84nI78$M''n3-2qe8R4#$n4r.^l&P5c€@n48&-1'n$n$,$##$]‘&'#r^[‚8&'j,'2$n8r'15#no#r8&-Gr>0r',n$n4#,$nn$D2$$020o8&>rP`'&><$#[KY–**8&ƒtdrP[|`]h"

PAGE 31

value420index6 2 4 6 8 10 12 14ST2G49'fl-]_-%X…BVf%nrBnb6nbr$H!ct8#`[F8&'#rnLK$021ra4*‰4n8rB‰42r$[Ln<&-1&9'$n9>007(‘0,'$X8I!1#04$no''n3-2qe8r8&-/4nG42r>0'$nn$#]&9'$['!$nq020#XR09'fBlf'??i0,'$L€`$002Y,'$Žr'1#5#norP8&'+42G4r>0r',=#$n8,*$n2$#'&'VnLrR4#[$*$#2$‘R408a&'$‘n9'0]rST2G49'=l-]_-[Xno.2009-$n88a $n289'824rrn<&'21&8&-#,'9'1r8rL•023,-$8PP02$n$I119-81#4'#$$24r^]€r8&'2$fr-'0[C7XnL9'$€8&-,'2$nr'1!@9'r'1#4r4>r',d"[‰&'rK&'r<,'$Žr-15#no#rd8&'I42G4r>0^$##$r',K28$M#$n4#,KR4#$24rd$/k-]c4kB"]MTnL`9-$&'$!,'2$nr'1!@9'r'1#4rPn<2&d¢"[8&-r*8&' L,'$Žr-15rnL#rK&'D42G4r'0r',.n$Ž84n,P$n#$M2$D4]¦hB¢4"]M=P7n=+u*vex:'{-|}x:‰vKŒ#vex@vŒœ&'#r1#4'#$$2r'G!+82o$n#$[4noq3(Ir'#,f'#$ŽR4Mr'Or'02(I2$T}Un4¡"#q-[59-f0$nq}Un4M1&>r'G4#$fX2$+$n04‰]+S\/¡''02[2&'`4nG42r>0…$#2$fn`$+$&'Vnr','2r'G8&-fr8n`rq&'+A>n$nMr',=$n1#4r',*,'n2R2R4#$F‚8&-G47R4rP$#2$]M=P7n=+>=zu=vCx@|Vxz~‰S>4=G47R4#r$nn$**l&55P"[/78$qA'$n*,-7R87R4i2$*$n#$*^P5P8[
PAGE 32

value420index 2 4 6 8value420index 2 4 6 8b) Second derivative extrema.a) First derivative extrema.ST2G49'ql']23k-%}fnŽrtZqzuW¡r!c4+7f nbg+8nb¡D4WBnp Bn23&2Vcpnr0?g‘Xr!ctHp Bn23&2V0n#r,¦q*‘#/1V7 2V4$rX&nb04+VrBn#4!0$4M=P7n=+>=P7šI~‰Š‹}vŒ3Œ3x@~‰13r‘1#4-$n$X$##$5(`2,'rB87(r'Gf00$n8n1r3[402#3[4r',‘2G4&B2‰4n8rB¡"#q2r8&-M$nn$X78$#02b[Br',2r‘2$A>$ŽLr',$n1#4r',q,-7R87R4]T/8&>O&'<,'$Žr-1F@9'r'1r824rr',8&'n$n&'40,@4$021r8r-G &'K2‰4n8rB€r8n$n2$q3(,'7#@n4¤8&-,'2$nr'1f@9'r'1r824rPr',*8&'n$&-40,=@4F&'D,'n2R87R4]2$r`2‰4ŽrBr8n`9'>8&-LA>$Žn§,'n2R87R4o$n#$[48&-r`8&-14'#$$n,$#2$r-109-,'$L&'+no€42rB8$F…&'f4nG42r>0\$##$F9'$n,*r=,'rA>r'2r'G€A[-&>F2$[-r',r]  "220?n02(4[‚7<$rnr!¡"#`9'2r‹8&-=$1#4r',,'#2R2R[T&'r8&-1'n$n$,P$#2$F2r'1029','$o8&'&'#f08#,=rB8$o‚8&'f4nG42r>0\$#2$['¡[>r',]riSTG49-Dl']7VkKY–[r[>nLI0209'$Ž88e8f8&'!1'n$n$r5(.$n021#r'Gq00…¡8#q8&-A>n$n,-7R87R4]nL`$n&'Vn8&'I#$9'07O$n021#r'Gq00…¡8#q8&-$#14r-,K,'#2R2R]M=PT#Š‹O~\}|3{>y4vK‡zv:‰v‡–Œ`r'rf,-#A>r'`&'`r9'n1302‰4n8r'1#IX¡8#q"[…r',dG47R4r0G478&'@+,'¡§8#r'2r'G&'D4Žr-1fT00r8n2rP€$nn$#]M=PTn=zu*vTx|}x@~‰La42rBf$Da$Ž821#NY@0#[^2G4&B3[“>r[+¡"#`9'@4+14'#$$n4rdn<2&d$4`R09-``['8&-rP28$$Ž8n1#Y@0#[-nG4&B3["“\r[F2‰4n8r'1#$F&'Dqe"2q0‰R09'f@4Fn<&'1&P2$<‘$Ž821#Yz02#[-2G4&B3[-“>r[Fr9'.]hj

PAGE 33

value 2 4 6 8 10 12420indexc) Flat importance.4value 2 4 6 8 10 12420indexc) Left and right importance.4443value 2 4 6 8 10 12420indexc) Strict importance.11133ST2G49'+l']24%~f nb!8r¤B8nb¡DPnB%4b!8w8M=,lB%n4!c€¦€n+tz€<"&(f nb!8|¦n“B,ŽVf,nrM/(1TV 23V4$BrX&nb05+VrBn4!0$HrP&'no4,'$#['8&'D$Ž821#Yz02#[-2G4&B3[-“>r[F‰4n8r'1+rP¡8#`9'2$ya2C2$!*$n1rY@0r3[‚2G4&B3[…“\[D¡"#`9'@4D1'n$n$rn<2& &'R09-#E9>0X80‰[59-r'+@+rB(K‰]5$#nR4`&>/8&'`2‰4Žr'1#IYrir9',-‰r','$frd$‰1#2A>1D,'2$n8r'1f@9'r-1#824r‰4rBT$r'X$n1r,Yz02#[42G4&B3[“>r[2‰4ŽrB¡8#`9'@4OrB(!R09'F`[no‘$83(K&>7&>$r'=$n21#Y@0r3[nG4&B[“\[M2‰4n8r'1#]fS>4/r-'0[8&-`rBf\›rqSTG9'Ml']74+&>$Lr'`nG4&Bo4X“\F2‰4Žr'1#[Bn<&'#3$F2$L$n21#o4Žr-1<$/4[-r',0rr'‘8&'€2‰4n8r'1#`Lrr8n`9'$f8&'‘e"`9-o2$f$n1r3[…02#3[^r', G&‰4n8r'1#$]C>nL9-$F4r-02(D8&'L$n8n1rOr',0#Tr8n-[&'r`noF,'rA>r'F8&-L‰4n8r'1$f8&-e"9'o&'€$n8n1rr',0#D2‰4Žr'1#$#]€S\f14rBR4#r'#r'1[no,-#A>r'€8&-‰4n8r'1*/8&'.r',§‰4rB8$$r-A'r'2([on<&'21&r'$€8&>enoi02nLV($r'1#09','*8&-r-,"§‰4rB$rP1#4'#$$#,.$nn$#]M=PTn=P7+…{>Š‹‡@vrSTG9'Fl-]24[4nL$n&'Vn$n21#3[B02#[BG&[Br',‘“\eX4Žr-1$C@48&-`Xa4},'$Žr-1]M=PTn=PTX`{>Œ3xzyPC}~‰OvV|}x@vŒ!r-}nG42R5$21f'#n82$$/€$n21#<‰4n8r'1+2r',P4r'07(a22F$<€$n8n1r
PAGE 34

indexvalue 2 4 6 8 10 12 14 16 18 20024aillmarmaadist ( )iaalmiadist ( )armiairST2G49'ql']2Vh"%}fH$b&tW(Bn#4!cw7f nb!8oa4H%$<€…"Br!cnq'rW4r!FptnOM{x|BnŽ4BD*nb!8H€^T~4BrzPu6DDV+}frzn'’%“5“5“5’€’%“5“5“5’t“23V4$Br‚&nŽn5!cbu%+nŽ¡&nB€znŽ4B(BYDDV23V4$BrBQ')Ntjq j4rn€N!c}fH$%B,D*nb!86MB,b!Vn“n4b!8r&¨P™FŠ ’Q')|‘Z&¨5™cŠr’‘#/1V 23V4$BrY&nb,4+VrBn#4!6$r)“\`¡8#`9'&>$‘P“\`2‰4Žr'1#T@9-n8&-4n[7&>$`r'i$Ž821#[0r3[TnG4&B<‰4n8r'1]FG47R4L$'02o'n"1#,'9-L@4,'#n2r'r'GM8&'L$n8n1rOnr'1Y‰+r'2`9'P[$n88#,q$Lf0#-]‚‹<2009-$n88o8&'2$O'1#,'9'MrST2G49'nl']2Vh",'#r-r'G&'<$n8n1r‰4n8r'1+€e"`9'$$n0]M=PTn=™|Vexzy|x–ŠO~‰V|V{'y4v "9'-4$nO8&>C2$…$n8n1r‚2r'`9-.[r',D0r‚'r&P55r',!l&5P558&'Oe"0$#G4rB8$q8&'‘02#+r',ia8&'`nG4&B+Yn<&'4$n`R09'#$f$n8n1r802(PG4n3+&>r]›…#!'58&'‘e"0…R09-‘4r'G=' &5P5¡[…r',0#f58&'‘e"0‚R09'4r'Gql&P55‰8&'#r^[8&-`$n1r2‰4n8r'1#IY2$/#E9>0Tq8&'2r'`9-O8&-,'2$nr'1#$drRY–8\'y[Fr',drYz|[r]13r9'$$0'n"1#,'9-$!@4D,'#n2r'r'G=&'q02#3[‚nG4&B3[r', “\!‰4Ž§r'1#$fO8&'2r'€r',de"-]M`$Ž8&'$n9'02$+@4M8&'`02#+r',i“\e‰4Ž§r'1#$/r'2q-B&'D8&'#<'1#,'9'#$+f$220?#]M=PTn=+šYv™g|qx–ŠO~‰V|V{'y4v "9'-4$nY&>$CM$Ž8n1#C4…02#Cr'2`9'P[3r',I0rC' ^P5P85X&'Xq}-2q0$#G4rB8‘&'D0#rK[\r',Pl&P555f&'h4¢

PAGE 35

e"0$nG4rB<8‘&'DG&r.]O00‰R09'#$4r'G€l&55PD$n1r807(aG4n3F8&'rK['8&'#rK&>$9'n&'n[o0rq'5=&'.e"0YR09'P4r'G'r&P55¡[Fr',02#5*8&-e"0CR029'‘4r'G*$l^P5P8]`o$`R029'‘4r'G*r^P5P8$2$r'*$0028&'rd2r>Yz')%y[r[&'r&'$r'=02#/4Žr-18&-nn<2$[^2$+0r2‰4n8r'1#I2$E9>0^8€8&'Dr'2`9'¨C8&'D,'2$nr'1#$drRY–8\'y[Fr',drYz|[r]M=PTn=+ ‡z{-|xzŠ‹O~\V|V{>Cy4v "9'-4$n‹8&'i$.$n1r3[f02#3[fnG4&B[!P“\eKr'2`9'P[r-,;0ri'r&5P5Pr',l&5P55P&'.e"0o$G#r$ &'.02#r',88&'P2G4&Bfn<&'4$PR07§9'#$n€r'.$nq00#+8&'r‹]F00TR029'$!4r'GP'r&5P5$n21#807(iG4n3f8&'r[X4‘00oR029'$`r'Gr&5P5na$n21#807(‹G3e8`&>r[O8&-r&>$‘r'i“\e‰4n8r'1]+&'Žn<$[0#Y'$58&'<0?$nX‰4rBY4r'GD'r&5P5n<2&R029'E9>0'["r',$5!&'IA'$n/‰4rB/4r'Gl&P55n<78&*R09'!E9>0Ca]9'Ž8&'#4[‰02#/')5€&'€q}-2q0CR029'€4r'G*'r&5P5'$r[‚r',02#!5`8&-e"0‚R09'€4r-G$l&5P5]M$4!R029'Ir'Gq'$l&5P5<4/4r'Gl&5P5$<2$/r'$0028&'rirnYz'),|[r[‰8&'#r&>$r-q“\+4Žr-1‰&'Žn<$[^2$/“\e‰4n8r'1D2$E9>0^8€8&'Dr'2`9'¨C8&'D,'2$nr'1#$drRY–8\'y[Fr',drYz|[r]M=PTn=|+^|VvCwCvwCe~\OvV|}x@v"Œ&'D@4002Vn$‘$n21#ZYz02#[YnG4&B[X“>r[2‰4n8r'1#q@4‘$=,'2$n8r'1a@9-r'1#4r^[&'rP2<&>$M$Ž8n1#Y@0r3['nG4&B3[“\[2‰4Žr'1#+@4$!r-.02#D‰4n8r'1‚$007(4[2o‰4rB<&>$M02#2‰4Žr'1#[8&'#rK2F&>$$+€$n1r/r',P0#Y@G&[Lnr'1[-8&'#rK78$<$n1rM4Žr-12$$Ž821#02(a$nq00#o&>rP28$02#Y@G&[o‰4n8r'1]h

PAGE 36

`‰4rB&>$<`$n8n1r$F02#}Yz2G4&Br[Xr',q“>F2‰4n8r'1#[B8&'#ra2$o02#}YznG4&Br[O‰4n8r'12$$n8n1r802(q$002Y8&>rP2$F“\<2‰4n8r'1#]!r'r$n&'Vn8&>e3[\2nLI,'#A>r-`r-#n,'2$nr'1D@9'r'1r8rP&'49-G4&i0r-31#4€§52r>824riY,'2$n8r'1#$[…8&-rdnL€1r130219'08!8&'‘2‰4n8r'1#`Yr8na@4+8&-‘r'#n,'2$nr'15$n,4r8&'*2‰4n8r'1#$`@4`&'*42G4r>0o,'2$n8r'1#$]&'2$‘$n9'02&'#0'$`¡§1#4-9-8&'D4Žr-1fr8n`@49'$#Ž§,'#A>r-,i,'2$n8r'1f@9'r-1#824r'$#] 9''‰4$X8&>edrrl&55Ptdr4CnY,-$n8r'1#X@9-r'1#4r'$…@4…n304R029'$#[r',YšV*r&5P5VF[$a,'$Žr'1#r§14$24rP@9'r'1r8r^]` 9''‰4$‘@9'Ž8&'#+8&>ef8&'‘$Ž821#jY@0r3[nG4&B[“\[‰4n8r'1M‚IG42Rra¡"#q0rBo@Y&'drX,'$Žr-12$tr[-2$o$Ž8n1#"Yz02#3[2G4&B3[“\[‚2‰4Žr'1#O@4dr2$6[4r',$n+4r^]&'r[8&'o$n1ryYz0r3[e2G4&B3[}“\r[…‰4n8r'1C8&'2$rB@4F8&-!,-$n8r'1#D@9-r'1#4rZ~Y#drrYzKl[l&5P5tdr5Yz_8[#[F$,~Ygr&55PY[¡]M=PTn=+Š‹O~\V|V{>Cy4viy4{'‡–yBC‡z{"|}xz~‰}~…y4vwCC}vrPSTG9'l-]2Vj"["no!G2R4Dz$n<'n"1#,'9'n@413019-0?r'G!8&'f$Ž821#['0r3[-nG4&B['r',=“\e‰4n8r'1#$o‚00\r'2qf2ra$n2$#"8&-'1#,'9'n+@4Y,'#r-r'G!8&'/4Žr-1$…&'e"I$o$220?#£L8&=-1,-9'#$9'r=2ra02r'3X82[-r',=9'$&'4n(2r'n4n824r*8&'!r9-5#+r8n-‰&>/$#[‰7T&'4nG42r>0^$nn$/r'1#09',-$,‰4rB$r',<&'a¡8#q"[8&'#r&'a'n"1#,'9-$€n9'rrY >[!82r',9'$n)Yx[4n(]&-q'n"1#,'9'nq2rST2G49'€l']7VjP14'9-$D8&'4Žr-1$D00Or'2qa2r‹4r->$n$q8&-49'G&8&'.$n#$];œ&'#r2a2,'rB2A>#$a‹r'2`9'[7a'9"8$a78$q2r','¡n4r$n81Z;r[r-,,','$/2M8q&'02$ngY020Cr--]F&'`-1,-9'&'rd-9-8$,-2#rBe"0MR029'$=1#4n$n4r-,'r'G8Y–SG49'ndl']73l[4r$n81Z$ct3[r',ƒt]Ÿ&'R502
PAGE 37

‚-"6„^¡""\'"‚^D>EtFIHKJYLMWNPMQLzRSTPUWVYXFiTlRF[Ž]¢TP_IX!TP`X!eHzF[3VfTPUM9FzRnx@™,?¡Žf|vu…‚PP""‚""}…‚"Y?¡ 3?¡‰=n†xz‡@vL$r'/#"(*wC~[x@™,¢/$r-<-(|v^…‚P¡""\'"‚^nYnF&?Y#drYz&?[ldrRYz3YFdrRY–&?[ltdrRY–
PAGE 38

ilaair indexvalue 2 4 6 8 10 12 14 16 18 20024lmaslalxaarmaiasrST2G49'+l']2l'%~4$nŽ&t¤5-nbrzXDDV*23V4$Br“!cnnŽr t4+wDD5w$M{“B t4zz'§!cnnŽr t+Dw$23V4$B}4jBwb+}frg6Ax'’%“5“5“5’€ (tb,23V4$BrF&nbn5!cbu+nb¡&n<<&nnu€tB t4z!cnnŽr tBCy4vŒxzw‚vexr:-{-|}x:v.ŒvexzvŒnor'G4$Y8&'M$024<^!G2R4#rq$n2$#[no+1r,-#8#r'<8&-‰4n8r'1/‚r`r8&'A>n$nŽ§,'#2R2Rr',*$n1r',"§,-7R87R4$n2$#[>r',*$n$2G4r#$‰1r82R/2‰4Žr'1#$!&'<42rB8$X‰8&'<4nG42r>0-$nn$#]…$Yr€¡"#`9'Ÿr€8&-A>n$nn§,'n2R2R4f$nn$#['8&'#rPno!$$nG4r*78$F2‰4n8r'1#+8‘8&-Dno€rB8$2r*&'f4nG42r>0$#2$X9'$#,2r‘,'#A'r'r'G![4&>X2$[Ir-,r] "007(4[}22$Xr‘r8n`9-r‘8&-$#14r-,.,'#7Re82R[-&'r*noI$$2G4r*2$4Žr-1+`8&'D‰4rB8$<[\¡[>r',.]O15r-+8&'+4Žr-1$L…8&'fGr>0\$n2$#[-A>$Ž<,'n2R2R4['r-,=$1#4r',*,'#2R2R5(8Zr'G+&'e"`9';@T8&'#$2‰4n8r'1#$@31&€‰4rB]rST2G49'ol']7}¢"[no$&'Vn8&-!2‰4Žr'1#r8n2rP€,-7R87R4f$#2$]M=™šI~‰Š‹}vŒ3Œ3x@~‰}{-|Vvqr'¡"14r-$,-D8&''50F$#0#1#82r'GK2‰4ŽrBDri1#14n,'r-GPi.G2R4#r`e+‰8rge.n‰n<&'1&=2$o8&-#1#rBGfC42rB8$LnVR4,*,'9-r-G8&'+14'#$$n4r^]S>4¡--0[T28&-a$##$`r-109-,'$`&9'r-,'#,‰42r$`r-,KG42Rr1#4-$n$24r8q2$h

PAGE 39

Ž‚…\-¡C}DEkj[|MMcJYHdfPo#okfL`zF\[xXV%je"RF[6UFieHd[|MWo#o%XFIT~hEkjPMlX&THSmVnXokfVYX&enMZo#Md[:XMWoM &P55IsufTP_¡V%jPM€nyFzRUFIeZHd[|Moo%XFIT\pV%jPM9FISmV%HSmVnXorV%jPMUFieHd[|MWo#oM_oMQ[xXMoWhA>n$nn§>$n$%C','9'1#o¡"#qMr',I$$nG4r!‰4n8r'1#$…9'$2r'G<8&'Y'1#,'9'no2rISG49'nXl']23j$#14r-,"§>$$%Y13019-0?ZI$"8YbMnF[Šr',=A>r',8&*G48#$nM‰4n8r'18&-,§>$n$%O49"8'9-/0208&-!¡8#q‘n<&'4$nD4Žr-1f$r-$nq00#L8&'r&PG3e8$ŽR09ST2G49'*l']7V-%{“nŽcp@DV+n#¦n!c}fnŽrtK{“B€V+n4D&'Vrnb€rnt$+teY&'+G2R4#rq1#4-$n$24r8M$Yr'!$002&>r&'M#1#rBG4/r'4r§r0‰rB8$oraI$n#$"@Lr-'02[2‚&9'r-,'#,"§‰4rBL$n#$Fr'1#09',-$L#G4&B(r'4r§r0'‰42r$[&'1'n$n$r89'$n5=1#4-$n$=‹$n2$=ea‹G2R4#r8]&'iA>$Ža2$K02r'Ž§g8€02G4478&'8&>#n@4n$!8&'na'$$n$`8&-49'G&‹8&'q$n#$]i&'=$n1#4r',02G4478&'¨2$$0Vno#[59-M21r.1#4'#$$M022Rf$n#$ŒŒq{>‡@ˆ‰~\ex|Š&'!02r'3b§02G4478&'r-109-,'$8&-Dr*$Ž8-$YzSTG49-fl']7V[¡]oS$Ž3[>7<13020$F8&-'n"1#,'9'n€rST2G49'l']23j-[^n<&'1& 'n",'9-1$!=02$n+F00T¡8#q=2r*G2R4#r$n#$Ir',$n$Gr'$`8&'*2‰4n8r'1#q8d1&¡"#`9'P] "1#4r',^[o2`A'r','$‘8&'0&4n,'‘$Ž$Ž814r'Gi&'=nr'1R09'#$[O8&>e€$[O&'08&G48#$n‘R029'] &'n,^[X2‘$n021#$00rin<2&4Žr-1$r'$002I&>r8&-03&G48#$n‘R09-]S>4`r‰§‰42r$#2$n<2&0r8n-['8&-I0G44n2&'¨9'r'$Mr0Y n[X8Dr',=8Z#$gYx[L4n(]5$nŽR4=8&>e`8&'q$n9'02r'GK14'#$$n4r8a3(‹r-5ar-1r802(‹E9>0o8i8&-G47R4rnbR09']/&'.$nn$€&>$9'02'02ar8nn<78&8&-P2‰4Žr'1#=E9>0F8&-¡3&0?nG4$ŽR09'[^8&'#rd8&'€'n"1#,'9'n‘$#01r8$!0208&-$€‰4rB$[^n<&'21& 3r'$8&>e8&-a1r89>0Y1'n$n$r8q3(50VnL#I&>r‹&'aG47R4r‹8].S\I¡''02[2Fnoj4k

PAGE 40

1'n$n$‚&'X$##$‚r!STG9'4]7Yr',f8&-YG2R4#rI8O2$Ck'a[}8&'#r"zhkK YŽfkƒ¦[/-[8&-a8&d4n,'$Ž$Ž81!X2‰4n8r'1#$+2$j-[^r',K&'‘02G4478&'$n021#$f020‰4rB$/n<2&‰4n8r'1#$r'P$002M8&>r j-]‘&-$nn$D2r'1029','$f#G4&BD$n9'1&‹‰4rB$[^n<&'21&3r-$8&'8&'Dn$9-0282r'G€14'n$$n4r*8D$r'02(a4k'a]M=™=P7Cvm{'Œ3Œq{>‡@ˆ\~‰ex|Š&'4r'r§>$n$02G44n28&-9'$n$Pn,"§50?1Zi#.2r','r&'r8n5(d8&'#D‰4Ž§r'1].&'a0G42&'2$P,'7A>, R4n$24rF&'q-1,-9'a2r‹SG49'nl-]2Vj"].S$Ž3[8&-P-1,-9'PrST2G49'n=l']23j2$‘r8#r','#,8 r-109-,'*00or8n-$#14r-,^[o&'.e>""\'T"C‚^\q@9'r'1r8r‹$!",'7A>,$I$&'Vn$$X8&'n49'G4&€8&'<$n2$#]œ&'r€8&'/02G4478&','r8#r'#$X&'M4Žr-1FDr'#nr9'.[2or-$Ž8$Y8&'/r8n`9'rBI8&-+#,"§50?1Z‘8n]O&'02G44n28&-Z#'$Fr'02(8&-¡€4$n4ŽrB/r8nari&'8n‚&9'$[^&'‘r9'5fY‰4rB8$/ri&'`8n`2$+4$Ž94]+O&'Ir'1#09',-$9`‰4rB8$+r',K&'‘02G44n28&-A>r','$qr'#n¡"#`9'P[21>$&'‘r'rn‰4n8r'1In<28&i&'€$002$Ž‰4n8r'1Iri&'‘8#]`Y8&-‘r'#n‰4n8r'1M$oG48#[8&'f0G44n2&'#VR$F8&-0$nL4ŽrBorBo@n4Ÿ8&'/8#r',i@n48&'0$Ž}[…r',i8&'#r,','$/8&'‘r'rn42rB+88&'#…&'Žn<$[^2+#VR4#$8&-r'rn¨rBD@4&'q02$nZ]=)M8D8&-a02G4478&'&>$!'1#$$n,8&-#rn$n2$#[8&-<#/2r'1029','$<4$ŽY4ŽrBO‰42r$Or',-r",5(‘&'2Onr'1[r',€8&'<02$n€r-109-,'$&'€$8€4ŽrBf‰42r$frd8&-,'#fo&'2D'‰3r'1#2rd8&'€4nG42r>0$#2$]œS>4r‰§rB$n#$n<78&r8n-[o&'.no4$Žn§13$nK9-r'r'r-G =8&-02G4478&'¨2$k)YxV0Gn[¡[\r',=8&-!nE9'2,P4n(q$k)Y[r]M=™=PTuPxXv}v"‰|qwCxzŒ#|V{>Cy4vK™CCy|}xz~‰CŒ&'$#01r824rF2‰4n8rB¡"#q*,'‰r-,'$r'D4r'02(i4r &'€14'n$$n4r8[59"02$i4r&'a,'2$n8r'1@9'r'1#4rY&>`2$[&'a9'$n=M,'2nrB‘,'2$nr'1#$n<2&8&'a$1'n$n$rK8e8Dq3(*023,*8,'2nrB+1#4'#$$#,i$#E9'r'1#$#]+S>4r',[B2'&'F,'2$nr'1F2$H l>[&'r`no$#01r8&-Fr8n$&-}n
PAGE 41

}>¡""\'"‚^nYnF&?Y#drYz&?[ldrRYz3YFdrRY–&?[ltdrRY–r=&'D4Žr-1f0$n<2‰4n8rBF‰4rB<2r*&'f8n|v,'#0#`8&'03$nf2‰4n8rB+‰42r/@48&-=–8+r',i@n4&'‘02$n}<]v‡–Œ#vq,'#0#!@n4•&'D0$Žk]x@™MNdrY–Kl[+$a,'$Žr'1#`@9'r'1r8r^[M~Y Vƒ[<$fa$Ž8n1#02(.r'8r'1007(r-1$2r'G*@9'r'1#4r4r‹r-4r"§r-GB2Rn30oG9'#rB8$[Tr',drYz_8[!~Y#dr^YzKl[F[r]&'#r^[@YrR4#n($##$Yr',#R4#n(1'n$n$r8[&'M$021r8r^‰4n8rBOr8n@4drF2$,'#rB810€&><@4dr]rB9'22R4#02([OK4r'4r'1‘8r'$Ž@44r MK,'2$n8r'1@9'r'1r8r,'$`r'‘1r8&-$#01r824r=Cnro‰4rB8$#"@4or-'0["&'@9'r'1r8r'$ 4r-,DY–[03,8‘&'D$8D14'#$$n4r^]jBh

PAGE 42

š{'‚|Vvš#CwCvB‚xzCˆ—}vv"Œ!,-$1#5fno#&'",-$<@Fr',-r"r'G‘&'Dr8n2r.`$##$['n<&'21&K00Vnœz$Žr8n#R0‚4ŽrB<¡"#q@/G42Rri1#4'#$$24rK8]<&'IA>n$n+r8&',K2$<@r8n#R2r'G€00‰‰4n8rBFr`r*$#2$["n<&'n3$8&-f$1#4r',.002Vn<$Lr8n#R0nrFr8n‘@=z\avw>m8‡z{'ye„|V}vv!1rK9-$I€n,"§50?1Zq8nD8€r',-rPr€r=8&'D2r'1n3$nr'G€4n,'MC8&'#‰4Ž§r'1C7Y$#R0Or8n=&>3R4‘8&'‘$`nr'1[8&-#(n‘$4Ž8#, 2ri8&'‘,'#8&-+'‰3r'1#`rK&'`4nG42r>0…$n2$#]f&'$$Ž8n9'1#9'€020Vn<$<8&'`n#rR0€4$n‰4n8rBo¡8#q!r)Y8t[82]T)/o#2#R0\^&'$nr8n-[nL9-$9>0202(€r'#,q$nO8&-2r`8&'4n,'X\&'2X'‰3r'12r`8&'<4nG42r>0$#2$[Bn<&'21&8Z#$€)Y8n02Gt[82‚&'VnLrR4#[no3(d3R4,d8&'€$n4nr'G5( 9'G4rBr'Ga&'€,§501ZK8n‘n<2& r9""20?n($n9'1r89'n!&>/002Vn<$Fr82#R0^&'D4ŽrB¡8#q€r=$n4n,.4,'#]raSTG49-f¢]¦h"[no0209'$Ž88e88&'9'G4rB8#,a$n9'1r89'n@4X8&'$nn$LraSG49'n¢]24]&'=$n402,53"$€q&'=r8n0L‰42r$[O$Ž84n,r‹&'=#,"§50?1Z8n[X2r‹8&'=,'#o8&'#!4Žr-1$#&','$&'#,nVn<$!@8&-q9-20n(K$n8n9'1#9']*S>4D31&¡§8n`9-.[Y8&'.9'G4rB,$Ž89-1#89-K2r'1029','#$qrB8#78$?¡€r',¡gflf}>r¡gen4zr@d&'.?¡/lfV>r¡ge.+rr8n`9-$I8&'ar-3n$n`r8n`9'8i&'a0r`2r8&-`42G4r'0…$##$+n<2&i$n21#807(*G48#‰4n8r'1‰&'a¡gLlfV>rrge€2$/8&-`r'3$Žr9'8&'2G4&Bn<2&€E9>0'OG48#O4Žr-1]pr`502M¢"]2[nL<02$n8&'en'n$#rB8$‘rr8n`9-2r &'a9'G4rB8#,‹#,"§50?1Z8n]j4j

PAGE 43

value 2 4 6 8 10 12420index444313ST2G49'!¢]24%{“f6nr(B0n$!c$nb6nŽnbrrz4+Df t4z~nr?g‘¡frz>B< t4z~n$!c$nb1¨¦‰ƒg„Žz†&¨¦‰HŠŒ‹5B8>B t4z4B t4g jl

PAGE 44

}'T…u„……\^…""_YŽz[^g[D¢MOV%[:XMONPM¡egFzoVqX&eZHAF[3VfTmVnHzFiX&TmVŠoWhEkjPMZX&THSmVXoV%jPMX&TP_M%b\X&TP`V%[3MM‰fTP_lV%jPMZTSezMQ[GFQR{HAFiX!TmVŠo€VŠFvAM9[|MWV%[xXMONPM_pIV%jPM}FiSmV%HSmV,XoV%jPMoMCSPMQTPUWMFQRaenFAoŠVnX!eHzF\[+Vf\TmVnHAFiX!TmVŠoyo#F[+VŠM_OwlV%jPMPX&[X&TP_IXUMWohr-2802”/r*-(=02$ny42rB8$>e>\>dz8`gf>brOk†xz‡@v`gf>bryr-,*>e>C"wC~x@™,?¡ oglfV>e>;‚"|vr'$nnF>e>…2ra8&'5G42r'r'2r'G‘T&'D02$nkv‡–Œ#vqr-$Ž>e>^r02,'8#02("?¡ oglf}>e>>e>\n4>e>`gf>brX`gf">rn ST2G49'¢"]cj-%Z‘n!8rH$nb"¦n%¡r!c5+vI"t%7f nbg t4z6¦n}¨Zf nb!8nŽ4B,nre59'20,'$‚8&-9""02?Ž(f$n9'1r89'nB@4T+$##$n<2&r8n-[-78$Lr',=$n>1#f14'0¡"2($yYx[¡]O/+8&'F82M@459'02,'r'G8&-q#,"§50?1Zi¡"#qP$)Yx402G[r8&9'$!8&'VR400O€@59-0,-r'G=8&-9'G#r,q#+$L0$nYx80G[¡]O&'$n”/^&'9-G4#rB8,a#+$Y'n4n824r>0'8&-!r9'5#MT¡"#q-'&><2$['78$$'1!14'02r"2(q$k)Y[r]š>=P7\a{>‚ˆ\vK|V}vvo$n4r82#$Cr-,I8M#2#R4onr^r8n/'/G47R4rI$#G4#rB'r&5P5[8e8&'#8&'r 00Cnr+r8n=r=$##$]!‹‘3(i&>3R4‘=#2#R4020¡8#q=Y8&-$#G4rBon<78&€‰4n8r'1<5VR4MDG42Rr€8&'n$n&'40,4#["028#r>e82R07(4[BDG42Rrr9'5X8&-f4$ŽF2‰4n8rBL¡8#q"]‹f1r=9'$&'f#,"§50?1Z€8n+‘#2#R4D00‰4ŽrBr2ri$n#$[r',K&'ri,-4P8&'Ir8n49-$2,'!&'G2R4#ri$#G4rB3‰&'VnLrR4#[2‚&'D$G#r/$9'1&.$n&'4Ž8&>r*8&'D$#2$['&'$$n409"8r=$r-#’12rB3]jB¢

PAGE 45

…‚"\„^Ž…6"\……u„^¡V…t…‚G…C…De>…'TMY8“[2+>e>n2w‚~¡gšoglfV>e>@…'TnY:“[7>e>n\'TMY8“[x@™,$r'/#"(a|v"?¡ oglfV>e>n7œ>e>@…'MY8“[u…‚d“Y:[In[ ST2G49'.¢"]pl'%0‘n!8rH$nb¦nqH$744+NB$447&nuZn#$!c$nb=n!8r"jnr('l(f nb!8' t4z‚$HY6+}q"V23&n&q”<%nbnbrbrg4M5•M{“On!8r$nboP“$B'nnO8#$dO,'02$5n9'r'r'#[`V-4L -#3[V4k5]I!00Vn<$+qz$nDn#8nrR0o020T‰4rB$+n<2&d1§4,'2r>$+2ri8&'‘G2R4#rd8r-G4$#]I9'$n€8r'G4D8#!2r','¡.00^¡8#qrP$nn$#>8&'!$24r*rPr8n`9'2rq$n2$$nŽR4$!$/2$/A>n$nf1#§4n,'r'8[r-,K8&'4Žr-1I$2$/$n1#4r',1§4,-r>]S>4r-'02['8&-!2‰4Žr'1#f42rBM~›MrPST2G49'!¢]2!$$1#d14'0¡"2(f8&'dr'G4.8#$l)Y[r[Or-,8&'q@59'20,'2r'GP2I$Yx0G[r]dCi2,'rB87(00Yr8n.n<2&‰4n8r'1€e023$Žd2r‹*$#G4rB`' &5P5[Cnoq9'$n&'qr'G4‘8Pr82#R8&-rn<78&PA>$Ž+1#§4n,'r'8Dr*8&-8r'G4nRP)nR[r',.$1#4r',i1#§,'2r>8D2r_P!]L&'€r9'5!Ln#rR4#,‹r*$4[‚&'#2#R0T‘$9)Y:0œ02G€[¡]€q3(r'#,=8`$n4nL8&'#$fr2rq8&'+4,'#F…&'2'‰3r'1#rq&'$n2$#["n<&'21&*8Z#$)Y:~0G€t[82&'M}R00\82^#2#R0‰r',$4Ž8r-GI2$,Y8~02G€i02G€[¡])08#,4‰ri-502$<8a,-#R4#04rd9""02?Ž(*$n9'1r89'n8&>ef020Vn<$/n#rR0X4ŽrBr€r=$n8#,K4n,'#]j4

PAGE 46

š{'‚|Vv uPxzŒ#|V{'y4vš~‰Š‹…|V{-|}x@~‰r'r,-$1#5f!81&-r'E9'+@oA>r',-r'G‘r=''n3-2qe8M,'$Žr'1#5#nor=no‘$##$5$n,4r`8&-O1#4'#$$#,Rn$r'$]Ot<100"8&>TnL<&>3R4<,'rA>r'#,8&-,'$Žr'1#5rnL#rnoE9>0§0#r'G&$n2$=$8&-",'$Žr'1#[n<&'21&9'$#$qno>8r8n$%‹,-$n8r'1#@9'r'1r824rdr^@40R09-$Mr',P€4$n22R4fr9'5#,Y–N#A'r'24r*j-]cj-]cj[r] r'1#8&'D‰4n8rBn§¡8#qI14'#$$n4r*$L04$n$n(4['noD13r-r'<,'r8n2r'8&-!¡§1r/,-$n8r'1#5#no#ri4nG42r>0‰$n#$5$,P4r*8&'#1#4-$n$#,KR4#$24r'$#‰&-}no#R#[‰no13r,'#n2r'&'q9'-#`r',‹0VnL#549'r',-$4r‹&'q¡-1#‘,-$n8r'1#]*‹a,-$1#5qr02G4478&'•@4+1#4-9-82r'G&'$n‘9''‰fr-,d0VnL#549'r',-$[n<&'21&d'VR,-$fr''3"7§824r=C8&'Dr-1r+,-$n8r'1#[\r',*8&-rP$&'Vn&'Vn;&'!''n3-2qe8ra,'‰r-,'$+4r*8&-1'n$n$r>8#!`]&'r 9'$n8&-n$9-02D8P,'#R024r02G4478&'@4fz$Ž1'9"4r!'-3"8P,'$Žr-1$5rnL#rœ$##$qn<2&'nr§14'9-,r-,'r"r-G8n#$] >=zu*x–Œr|V{>Cy4vK}{>‚ˆ‰vr`SG49'nY-]2[enoo20029'$n88&'Y130219'0824rf-,'$Žr'1#549'r-,'$5#no#rnL+14'#$$n,$#2$]&'4r-84r-17(K-4‰Ž(Yg "#1#824r l']2[+$D9'$#,@4D101#9'0?r'Ga&'59'r','$#]X1&=0#G`r8&'+$n#$F$59'r','#,5(a#1#8r'G402$o$&'Vne/$nG4rB/rP8&'!42G4r'0$n2$#]£o(130219'082r'G*8&'a,-$n8r'1#549'r','$5rnL#r549-r','r-GK#1#8r'G402$[noa1r130219'088&-+,'2$nr'1549-r','$5#no#ranL‘$n2$#]Or=STG9'/-]_h"[noG47R4/'n"1#,'9'n+@4Y130219"§0?e8r-G!,-$n8r'1#549'r','$5rnL#rano`1'n$n$,=$nn$#-7Y8Z#$L1#4r'$n8rB4n(€r',9-r'$n$nM#$9'07Ž(=4r=8&'fn<2,-8&*C8&'f,-$n8r'1#!r'G4[>r',*8&-!$n1#4r',jB

PAGE 47

indexvalueee2e3go1g2o2g3o311ST2G49'D"]24%€|4b!8,q*t$H~q' TrjšB!c}fnbrrjn#rB"nL"nŽ¡V_23V4$Bk€B+lTnq t$B4bH!8"q-šr j!c}fnŽrr8n#r64 (2 2( (: (2((:€‰HB$B'nq t$4 (22(( (2((8$&-}n<$<8&'M0VnL#14'n$$n4rP8e8D07nF3($<03,'$8‘r>nVnL#/r'G4]InL 1'n$n$Pno#E9'07§0r-G8&œ$#2$[A'$n*n<78&>8r8Pr',$n1#4r',n<2&‘[r',`A>r',`&'F,'2$n8r'1o8r-G4'r5V@4C&'2T1#4-$n$#,€Rn$r'$[4&'r'>œ] 9''‰4$f8&'nLD1#4-$n$FnLE9>07§02r'G8&=$#2$['A'$nn<78&*>#8#r',$#14r-,n<2& [‚r',A>r',8&'€,'2$n8r'1€r'G4' 5V@8&'#f1'n$n$, R4#$24r'$#] "9'-4$n@9'Ž8&'#.&>*nL‹14'#$$P8&' $8 $n#$K9'$nr'G,'2nrBK'8#n$Kr',g[r-,A>r-,&'<14n$nr','r-G!,-$n8r'1#Mr'G4'5]gœr',qgœ[8&-r'Œ'^r',] >=P7ƒC}~"…x–Š‹{"|VvKwCxzŒ#|V{>Cy4v/r'¡F1r'$2,'X8&'/'50#^A>r-,'r'GD8&-+,'2$nr'15rnL#rano#E9'07§0r-G8&$##$n<2&‹'nr§14'9-,‹2r','¡-2r'G*8#$#]=&'q1#4-9-4rL8&'r-1r`,'2$nr'1#E9-#$02r'38[59-DnL13r9'$9'007(KA>r',‹PG", ''nV"2q4rKL&',-$n8r'1#2r`9'1&0#$$82]rSG49'n`-]cj-[‰nL`G2R4`q'1#,'9'n`@4+1#4-9-82r'Gar''3"I,'2$n8r'15¡§nornoi$n2$!n<28&.G2R4#r1#19'1#(=O2DA>r',-$I8&-,'2$n8r'159'r','$'Xr',$9-1&‹8&>e'|=]=&'-1,-9'A>$ŽG4#r'8#$&'2G4&'07(d14'n$$n,‹Rn$r'$F&'qG2R4#r$#2$`r',‹A>r',-$I8&-q#$‰1r82R=,'$Žr-1qr'G4]*&'r^[O7!‰3e8,-02( ¡§,'9'1#$L&'+1#4'#$$24rq8+r',1#4'9-8#$L8&-+,'2$nr'1M8r-G4["9'rB80>&'+r'G4r=])F31&$n^[Y2‘2r'1n3$n$€8&'a0Fr9'5‘/rB8$‘2r8&-=14'#$$n,$n#$5(iz1#4`
PAGE 48

'<…‚6„D>EtFIHKJYLMWNPMQLzRSTPUWVYXFiTlRF[6UKfLUdSLfmVYX&TP`¡_IXoŠVf\TPUWMazFISTP_oWhEkjPMnX&THSmVX&TPUdL!SP_Mo{VF9UWFIeHd[|MWo#oM_lo#Md[:XMWoWs2^P5P84f\TP_!2^P5P88s\f\TP_9_IXoVfTPUMyRSTPUWVYXFITdrxpCV%jPMZFiSmV%HSmVŠokfQ[|M‰V%jPMSHHAMd[!4y>Kw‚~†xz‡@vvn§l|FwC~*><œ'r‡„‡„…}^‚'…‚‡„CYMYx'¦[†xz‡@vvn§lXFwC~*><œ4‘}'r‡„‡„…}^‚'…‚‡„CYMYx'¦[†xz‡@vl6—n§lFwC~€>'r‡„‡„…}^‚'…‚‡„CYMYx'¦['\ ^dr4™ dr#4™ ~‰‚|3T…|HY'r[}vB|}Ce ‡„„^¡}uC'<…‚6„CYMYx'[D{__zFISTP_o}AMOVx{MMdTo#MW`IenMQTmVŠoWhx…=‚Cu=œ4Cƒ^‰I~"œx@™oŠ@2|vx…=œ4Iu=‚x@™o@A2|vƒ^>4Ii‰2r>Yn§lTTn§[x@™o4YFdrRY–n8[tdršYz[[eVq}¤YFdrRY–n8[tdrRY–[[}vB|}Ce'r ST2G49'q-]_h"%v‘Mn!8r$nbPn}HH4+jH4b!8q t$,q-šr"šB8!c}Dnbrr"n#r){“B23V4$Br‰'rnŽnbrrz0B!4lTn/8$'n6q*t$H&nry~B4b!8"q'šrZ !c}fnŽrrn#rj4

PAGE 49

E9'n,q@o8&-+G47R4ra11#9'81r(q2$y4["r',qno9'$n#,"§501Z€r',-r"r'GI8#$#["8&-ra8&-/82o8&'''n3-2qe8r§,'$Žr-1€14'9-8824r$Z)Y:t[r]F8&'9'$nf??Fr0O‰4rB$,'$Mr'/'VR,-I$n9-’1#rBf1#19'1#([‰&'rP8&'I0G478&'•#n@4n$8&-I¡'1#,-$n8r'1#1'9"4r=9'$nr'G020^‰4rB8$#]LnL'1#$$`$nG4rB8$I$n2$r',‹9-$qr'G4€8n#$[T&'r‹&'qn#rR0O2€§‰4n8rB/¡8#q€$<$n0VnL#[>n<&'21&.no4$nr'$M8&'DVR4#8020‚A>r','2r'GqrK-'3"8,'2$nr'1]\8&'L0-r9'52‰4ŽrB42rB8$2r5&`$#2$O$r-,'r'Gr=-'3"8,'2$nr'1['8&'#rP&'D}R00^$kY86V0Gy0G[r]5$nŽR4f8&>e3[-7…8&'+0r-G8&*C&'G47R4#r=$G#rF$F$nq020#Y&>r0r0G~‹02G€d[8&-r€8&'<02r'3Ž§o1#4'9-e8r‘\8&'r‘8&'M-'3"81'9"4r`n<78&€8r-G4F8n$#]œ&'r9'$2r'GD8r-G4F8n$#[no,P02G44n28&-2$k)Y@2r>Ync,0Gy0G[F[¡] >=PT—}vŒ~‰‡zw|VvŒ#|œ&'#r$n3n1&'r-G@`$##$‘$220?f8iiG42Rr>n8nrYgJL&>-8#[r[Ono=q3(r'#,,'r8n2r'n<&'r8&'#8&'‘,-$n8r'1#5rnL#r 8&'`'r$n2$fr', r'&'G2R4#rd$##$$o$002X8&>r=`G42Rrq&'#$&'0,!]Ora&'Lno4n,'$[-nofr'#,P5"4023r@9'r'1r8rq8&>er-'9-8$fnoK#E9'07§0r-G8&$#2$Ir',*&'#$&'402,![Cr',r89'nr'$^t…‚ 7o&',-$n8r'1#5#nor.8&'D$#2$<$r'€G4n38&'rr!]+1r=9'$nfI$n'0M'1#,'9'n+8&>eF1'9"8$Y8&'+r-1#L,'$Žr-15#no#rPG2R4#r$#2$Mr',*8&'D>e8#r^['r',P14>n$n<2&!'78$n9'r'r'2r'G‘82$0r-3F2r=8&'f02r'G&Y8&'€$n2$#]rST2G49'€"]cl'[^noG42R‘4n‘#’12rBI'1#,'9'[Cn<&-1& q3(Kn2r>8n<2&'49-'n"1#$n$r-G8&-.#rn.$n2$2+2,'#n2r'$‘8&'&'P,'$Žr'1#.2$€,'#A>r-28#02(G4n3X8&>r!"&-}no#R#['28&'M,'$Žr-1M$X$002&>rI[2X&'$Y'n"1#$n$o8&-/#rn$#2$]nL/&>3R4f02,-(‘'nr§14'9-,q&'/2r','¡-2r'GI#$o@Y&'/G2R4#ra$#2$[8&-rqnolBk

PAGE 50

>8\\'GB""+'^'%„"VCCD‡MWVrf\HHd[|Fb\X&egfmVŠMZ_IXoVfTPUMaAMOVx{MMdTVx{FoMQ[xXMoWhEkjPMkX!THSmVŠofd[|MVFno#Md[:XMo*r^P5P8is4^l&55PcisQV%jPMPX&[iUF[8[3MocHAFITP_IX!TP`X&TP_M%b\X&TP`nV%[3MMWoFzRIMcbdV%[3MQegfzs^z8suf\TP_vpCV%jPMZFiSmV%HSmVnXorV%jPM9_IXoVfTPUM[fTP`AM}kXV%jf\TlfdUWUQS[|fdUOwFzR<hr-2802”/r*-(=02$nyT‰4rB$F8€&'402,*&'D14'n$$n4rPC8&'fA>n$nM$#2$r-2802”/r*-(=02$ny42rB8$F8€&'0,=8&'D1#4-$n$24r*&'D$#14r',.$##$j-j>e>>d–8`gf">rk>e>>dz8`gf>rk†xz‡@v;reYb–8[L4q;reYb–8[w‚~Ž>e>z`gf>br>¡'T"\…\}eu„^¡}\…"\HYb–8n>e>z`gf>r%6ct[n>e>z`gf>br>^'T"+‰…\}}u„…e\…"\YŽz8Ž>e>z`gf">r%6ct[A>r',&'=,'2$nr'1ar'G4)'5#no#r1#4-$n$#,$nn$r',9'$2r'Gi8&-'n"1#,'9'nI2r*STG9'D-]_hx@™'¤>|v~…|V‚|“Y'5[}vB|}Cev‡–Œ#v;hy^;h kx@™,rez8r',h/rez|vre–8x@™,re–8r',hMrez8|v"rez13019-0?+8&'!1r89>0…,'$Žr'1#5#no#rd*l&5P5[\r',.&l^P5P8`9'$2r'Gq00&'DrB8$~‰‚|3T…|(Y[ >^'T"\…\}}^„^¡}\…"\YŽzn[->e>@[`gf>br¡[u[^t[D‡MOVrV%jPM9UFIeZHQ[3Moo#MW_o#Md[:XMoWh†xz‡@v`gf>bryr-,*>e>‚"qwC~x@™,?¡ oglfV>e>;‚"|vr'$nnF>e>…2ra8&'5G42r'r'2r'G‘T&'D02$nkv‡–Œ#vqr-$Ž>e>^r02,'8#02("?¡ oglf}>e>>e>\n4>e>`gf>brX`gf">rn}vB|}Ce[->e>z[`gf">r ST2G49'-]_j"%‘n!8r$nb|¦n“H5+,B<3n¡D&0H4b!86q' Tr<šBbnr“$4+wBrnnbcp !c}DH$r484+nbrrw{“+Hn!8rH$nb"b&n6)+}uj!c}Dnbrr)2Vn#t|B4Bƒ$6nr6qu¡r!c4+N€"t,f nbz t4g0Pn}¡!WnrM8HH|B5b!8nŽ+Vq' TrD¡
PAGE 51

…\VGC…\P‚'\„D6[|F~UMW_CS[|M‰RF[{HAMd[3RF[8e9X&TP`V%jPM}V%j[3MocjPFIL_aVŠMoŠVgzMWVMMdTlVFaoMQ[:XMoWhEkjPMZX&THSmVŠo,fQ[|MnVx{Fo#Md[:XMWo*l&5P5Is-^l&P55cIsIf\TP_V%j[3MocjPFIL_#ZpiV%jPM}FiSmV%HSmVkXoMPXV%jPMd[C…t…‚F[<‚}Žhn4_k†xz‡@vvn“ wC~ dr#rP x@™$|v}v|VCe‚}}vB|}Ce^t…‚ ST2G49'D"]cl'%‘Mn!8r$nb|¦nY'n¦nŽ4+%B6nbr}4r(q' TršBbnr~Y¡!_€Bqn!8r$nbjnbn2VrB8! t4z¦n} Wbnr€X‹^$Ba4w$5b!8q' Trj%nr€Br(!#Br!',BBn(/4H%$§4b!8%4“+nb¡&nyNBnbr}4%,13ri9'$9'007(*G42RI8&-`$8Ir'$nnon<78&.`9'1&d0#$$/14'9-8824r5(*A>r','2r'G=q,-$n8r'1#8r'G4@48&-eo9-$$Y#,"§50?1Zr-,'r"r-G€#$8,'#n2r'n<&'#&'<8&-!,-$n8r'1#!2$$002Y8&>r!]&-K'nr'1#'02=9'r','#02(2r'G &'$€'n"1#,'9-K2$€$0I &'P14'9-8824r8&-,'2$nr'1n<78&.G42Rrd'n12$24r^]+ "#17A>130202([75G42r'$/n<78&dn<,'I,'$Žr'1#`8r'G4`r',8&-r=r>nVn<$F73[5(q#,'9'12r'G&'1'n$n$ra8["9'rB80‰8&'/8&'n$&-40,&œz020$Y49-$,-8&-,'$Žr'1#F8r'G4]T$T$002‚8&>r`&'0Vno549'r-,^[48&'-1,-9'n#89-r'$Y…¢…C^2'2$fG48#f8&>rd&'€9''‰549-r',^[‚2Dn#89-r'$‚}…]€Y8&'9'$nf??o4ŽrB‰4rB8$I,'$r-`'nVR"2,'a$n9-’1#rB€11#9'81#(4[&'a'n"1#,'9-arR4rB9>007(‹1#4'9-8#$8&-r-1rM,'$Žr'1#]D&'d,'$Žr-15#no#r&'d$##$=$10$K(I[<8&-i'1#,'9'ndq3(r'#,œ'n"1#$$!020T‰4rB$[^n<&'21&3r-$8&>D7f$fr-*z$n8#f8&>rd&'‘$2'02`1'9"4rd2rST2G49'<"]cl']r&'<8&'#X&>r',^[7&'<,'$Žr'1#<$X`9'1&$002O`9'1&q0GT&>rI[8&-a'1#,'9'n='1#$$#$€4r'02(i$nq020O@81r8r<‰4rB8$#]d<8&'anE9'2,r9'5#`‰4n8rB,€02G44n28&-2$)Yzr¤Y>c02G€¤P02G[F[r]lh

PAGE 52

…\VGC…\P‚'\„^……\\D6[|F~UMW_CS[|MyRF[GHAMd[3RF[8e9X&TP`‰V%jPMrV%j[3MocjPFIL_ZVŠMoŠV,AMOVx{MMdTgVFoMQ[:XMo‰SPo%X&TP`X&TP_Mcb\X!TP`V%[|MMWohEkjPMX&THSmVŠofd[|MVF/oMQ[:XMo‘*l&55Pf\TP_ ^r&5P5cCs{V%jPMPX&[yUWF[8[|MWoOHzFITP_IX&TP`X!TP_Mcb\X&TP`V%[3MMWoFzRMcbdV%[3MQegfa–8s^zsufTP_vfV%j[|MWoOjPFIL_&ZpIV%jPM9FISmV%HSmVnXoyMdXV%jPMQ[…t…‚F\[<‚}Žhr-2802”/r*-(=02$nyT‰4rB$F8€&'402,*&'D14'n$$n4rPC8&'fA>n$nM$#2$r-2802”/r*-(=02$ny42rB8$F8€&'0,=8&'D1#4-$n$24r*&'D$#14r',.$##$j-j>e>>d–8`gf">rk>e>>dz8`gf>rk†xz‡@v;reYb–8[L4q;reYb–8[w‚~Ž>e>z`gf>br>¡'T"\…\}eu„^¡}\…"\HYb–8n>e>z`gf>r%6ct[n>e>z`gf>br>^'T"+‰…\}}u„…e\…"\YŽz8Ž>e>z`gf">r%6ct[A>r',=&'f,'$Žr-1f8r'G4'5rnL#rP14'#$$n,P$n#$rr',9'$nr'G‘8&-'n"1#,'9'nI2r*STG9'D-]_hx@™);4'G$|vxz™*|v~…|V‚|I…¢…‚v‡–Œ#vq~‰‚|3T…|‚#B}}vB|}Cev‡–Œ#v;hy^;h kx@™,rez8r',h/rez|vre–8x@™,re–8r',hMrez8|v"rez13019-0?+8&'!1r89>0…,'$Žr'1#5#no#rd*l&5P5[\r',.&l^P5P8`9'$2r'Gq00&'DrB8$x@™+|v~…|V‚|l‚}v‡–Œ#vq~‰‚|3T…|`^t…‚}vB|}Ce >^'T"\…\}}^„^¡}\…"\YŽzn[->e>@[`gf>br¡[u[^t[D‡MOVrV%jPM9UFIeZHQ[3Moo#MW_o#Md[:XMoWh†xz‡@v`gf>bryr-,*>e>‚"qwC~x@™,?¡ oglfV>e>;‚"|vr'$nnF>e>…2ra8&'5G42r'r'2r'G‘T&'D02$nkv‡–Œ#vqr-$Ž>e>^r02,'8#02("?¡ oglf}>e>>e>\n4>e>`gf>brX`gf">rn}vB|}Ce[->e>z[`gf">r ST2G49'*"]¦¢"%0‘Mn!8r$nb t4gqzuw!cn(x Dnbcp !V4!$&|B6$B'nTH4lTnq*t$HBxB64b!8q'šr
PAGE 53

š{'‚|Vv9{-|3|Vve\qv|3x@v:'{>‡fr'rM,'$n1n5I0G44n2&'$X@42,'rB87(r'G‘$n2$2r.`,'5$f8&'Mf$n0Y€G47R4r.>n8nrK$n2$#]L‹I$n$9'!&>/020…$n#$/2rK€,>85$nI&>3Rr-,'r"r-G#$M@qG47R4#ri,'$Žr-1@9'r-1#824r^[r',ino`1r'$2,'+&'#`$n8r',>,in#8nrR0'n502$]S$Ž3[no,-$1#5€a'n"1#,'9-‘@42,'rB87(r'G=00C$n#$n<&'4$€,'2$n8r'1`@n4*G2R4#rd$##$$!r'iG3e8D8&'r.G2R4#r‹8&-$n&'402,^]i 1r',^[TnoaG47R4r02G4478&'@4DA>r','2r'GK8&-$#2$+1#04$n$Ž/aG2R4#rK>e8#r^]&-,[\no,'2(=7<@4<,'#r2(r-Gq€G42Rrir9'5#1024$#$nM$##$]3=z\a{>‚ˆ\v.-^‚v}aA>$Ž€14r'$n,'#`8&'=n#rR0F/020o$n2$‘n<2&'rG2R4#r,'$Žr'1#•@n4G2R4#r>n8#r $n#$]rST2G49'‘"]2[‚noG42R*$2-0‘02G44n28&-&>I''02#$8&'€,'2$nr'1¡§8&-$n&'402,P$ne5$]\noq1&‘G47R4r‘'r[Br',`&',>85$nr-109-,'$0/13r',-,>‘$##$[C8&'#r nor-,8P''07(i8&-$n0?2(=$Ž1/¤82#$]r8&-5$Ž!13$n[…8&'‘$nD@4f1& $n#$D8Z#$I022n80D82[‚r',d8&-VR800T`$f1#04$n^C6-32<…‚\54D6[|F~UMW_CS[|M‰RF[ŽoMQLMWUWVYX!TP`fL!LoMQ[xXMorV%jdfmV,fQ[|MgkXV%jAX!TfZ`iXNPMdT_IXoVfTPUM6R[|Fief`iXNPMdTvHdfmVVŠMQ[:ToMQ[xXMoWhEkjPMX&THSmVŠoyfd[|M6/oMQ[xXMoF l^P5P8 ris+h+hhsc57“&5P557isCfaHdfPVVŠMd[8TZoMQ[:XMo<^l&5P5cisCfTP_aV%j[3MocjKJFIL_8ZpCV%jPM9FISmV%HSmVŠokfQ[3MZoMQ[xXMWokV%jdfmV,RxfL!LAkXV%jAX&TlV%jPM9_IXoVfTPUM†R[3FIeƒV%jPMHdfPVVŠMd[8ToMQ[xXMWoh™~\nf|V~;n9/w‚~x@™Y–ƒ8&HtdrP[|)|v~‰‚|3T…|Yzr&5P5[}vB|}Ce ST2G49'`"]74%k‘n!8r$nbwPn64rg¦u4+!V¤nr(&&nb}(44+t2Vr5b!8%¦n}+t2Vr‘"&njn#rl4l

PAGE 54

‚>…\Ve\…"\D6[|F~UM_CS[3MRF[X_MQTmVYXRwAX&TP`¡V%jPMvTPMKfd[|MoŠVqo#Md[:XMonR[3FIef`iXNPMdTHdfPVVŠMd[8ToMQ[:XMoWhEkjPMX&THSmVŠofQ[3M/o#Md[:XMWo**l&P55*rIs+h+hh™s_57“&55P57MfTP_fHdfPVVŠMd[8ToMQ[xXMWo*&l^P5P8ip‰V%jPMFISmV%HSmVqXorV%jPM9o#Md[:XMokUQLFAo#MWoV,VŠFaV%jPMaHdfmVVŠMQ[8Tlo#Md[:XMoWh‘k-†™~\nf|V~;n9/w‚~x@™Y–ƒ8&Htdr¦[y|vYzH^tdr[¡\`n~‰‚|3T…|Yz^P5P8[}vB|}Ce STG9'!"]_h"%‘Mn!8r$nŽy¦n(4rg¦u4+wB,B¡&nbr(nr“Pn}+t2Vr€&n#K8)Y:/"[¡]r 8&'‘no4$Ž1$[C&'0G42&'q3(ir-,8=A>r', 8&'€r-1r,-$n8r'1#€@4$nM82D$#2$8&9'$[2&''rK$n#$+r-109-,'$%‹‰4rB8$#[‰&'Ino4n$nn§13$n82D2$)Yr;/"[¡['n<&'1&.$02r'Fra&'f880^r9'585$n]…nofn+$n3n1&'r'GI@4+‚0#r'G8&0=$220?8‘!G42Rra>e8#r^[-r',a1&$#2$L2r&'+,>e5$Mr'1#09','#$yPrB8$#[&'ra1&a$n2$o14rBr'$`<%/1r','2,>$#G4rB8$#]qr&'$f1$[&'5$Žn§13$nn9'r'r'2r'G=8‘$ZYFY .=x[(/"[fr', 8&'‘no4$Ž13$D$q)Y#Y a>_[?N@/"[r]3=P7A.v{'}vŒ#|qCvx@ˆO~\r-r!14r'$n,'#8&'€'n502L2,'rB87(r'Ga&'‘$##$D10$$ŽD8P=G42Rr>n8#]‘rST2G49'F"]_h"[noG42Rr€02G4478&';&>O2r''9-$O>n8#r€$##$Or',€,-$n8r'1#F8&'n$&-40,^[r', r89'nr'$f8&'€1#04$n$n!81&dn<78&'2r&'€G42Rrd8&-$n&'402,^]€o&'€,>5$€,'$Dr'r-109-,'r(P$n2$Mn<28&-r.&'G2R4#rK,'2$n8r'1!@4&''r[8&-`02G4478&'•r89'nr'$r'€81&'#$]l¢

PAGE 55

"}…M…"_-¡}\…"\D6[|F~UMW_CS[|M¡RF\[€oMQLMUWVYX!TP`CBUdLFAoMoŠVZo#Md[:XMWoZV%jdfmV9fQ[3MakXV%jAX&T0f`iXNPMQT_IXoŠVfTPUM†R[|Fiefl`iXNPMQTHdfmVVŠMQ[:ToMQ[xXMoWhEkjPMX!THSmVŠokfQ[|M8Do#Md[:XMoM*l&P55*rCs+h+hhsc57“l&55P57MIsufvHdfmVVŠMQ[:ToMQ[:XMoM^l&5P5cCsufTP_¡V%j[3MocjKJFIL_EZpV%jPMaFISmV%HSmVŠoZfQ[3M&BUQLFAo#MWoV9oMQ[xXMWoZV%jdfmVgRxfL!LCkXV%jAX!TV%jPM¡_IXoŠVf\TPUWM8R[3FIeV%jPMHdfPVVŠMd[8ToMQ[:XMoWh™~\nf|V~;n9/w‚~Y–H^Htdr¦[x@™)|vxz™FreYb–8F[|U|v"C}\"YŽz8^n[v‡–Œ#v)@~KrOƒ>aBC}~YŽz[x@™V'$<ŒV|v„_!CVYb–8g["‚}‰YŽz8lYn[49-'9-/0208&-!$nn$<2r z8}vB|}Ce ST2G49'q"]cj-%‘Mn!8r$nŽPnw4Brz¦u4+FN!tbr%n#r0&&nb(4P+t2VrW4bH!86%¦n}}+t2Vr‘"&nnrn=,$Š‚„„“}5< t4gn#~GF!4tr(n#rM{“B"Š‚„„(448rt<,4bH!863B%nr¦n}BM&nn#r3=PT1‡|}x@T‡@v.Cvx@ˆO~‰eŒr`SG49'nY"]cj-[enoYG42Ror02G44n28&-@4‚2,'rB87(r'G<`9'0782'01#04$n$Žr-G&54n$]TC2r''9-$*>nr$n2$#[T*,'$Žr-1€8&'n$&-40,^[Cr-,‹*#E9-#,‹r9'50BPF1#04$n$n!$n2$#]q8&-/,>e5$Mr'1#09','#$Leo023$ŽHB$##$Yn<78&'2r‘8&'MG42Rr,'$Žr'1#M@n48&-/>e8#r^[8&-02G4478&','#r2A>#$I&'Bi$n2$I10$$Ž`8P8&'q>nr^X2r'3[T7n#rR4#$*??$##$n<2&'ra&'DG42RrP,'$Žr-1f8&'n$n&'40,]lB

PAGE 56

š{'‚|VvšI~‰CyB‡–Cwxz‚ˆ\avŠ‹{'}„…Œr.&'$no4Z\[\nLD@4nq02”#,=8&'!,'2$nr'1f@9'r'1r824r'$M9'$#,ir*1'n$n$rir',Pr8n#R002G4478&'$r'#,d8&'I,'$Žr'1#5#norn30CR09'#$r',d,-$n8r'1#5#nor8‘$#2$!$!4r-84r-1@9'r-1#824r'$f8&'!$8$n(i1Ž2r'4‰Ž82$]&'r"§8n",-9'1#4rPT@9-r'1#4r'$MGB3R4I9'$<8&'D“>r"5022(a9'$n,'7##r/,'2$nr'1D@9'r'1r8r'$+r',8&-1#44$n24r'$Lr=8&'f$##$<14'#$$n4r*r-,'r"r-G0G44n2&'$#]Yr8#r',',‘1#4'#$$24rI1&'r-E9'$T,'#R0#,`3n025(!WXTr',STr-ZpWO8e3[hk4k"4WO8e€r-,Sr'Z\[Yhk4k4h"ST2r'Zr',WO8n3[ohk4k4jeo119'rB‘@4“\€nG424r'$‘r',,'#2R2R$O‰82F$nn$#]TM2rB8,'9'1#,‘8&-F8n$X$Ž821#[B0#[42G4&B3[r-,€“>Xr8n810$$n2(=,'7##r/(#$+O¡8#q"]F‹!&>3R4I$&'Vnr-,'r'G''nV"2qo,-$n8r'1#5rnL#rno$nn$*9'$nr'G&'2='¡§1#4-9-8#,2r','¡-2r'G8n#$]d9'$#,&'$nd81&-r'E9'#$.2r>n8#r"§$31&i0G44n2&'$Y@4'n}R2r'G8&-‰Ž@4r'1#]&-D@9"89'nDno4nZ=r'1#09','#$rBR4#$nGBr'G`&'!''0215022(€'n4$,*8#1&'r-E9-$8‘&'D30^nL4n0,*,>8-]l

PAGE 57

T50D-]74%“/b&tK1&npr#Y’%“5“5“5’n4+t4V nr’%“5“5“5’n4+t4V nr2’%“5“5“5’4!c}fHnbrrbnr~n%’%“5“5“5’(aM*t5g2’%“5“5“5’!c}fHnbrrbnr~MY’%“5“5“5’(I t4z’%“5“5“5’n#Bn23&2V0nr’%“5“5“5’r!ctHBn23&2V0n#r”™•63B%nrJ’:K4H4!8r^*t5g4‘f0nrL$%q-n>nr“4‘&b&q"c’%“5“5“5’r€€7“O’%“5“5“5’7M(¤n#r“4<&b&q"J’J’NM’OM’@P’NP4H4!8rn&'nbrg t4z“!cnnbrb*tH4+w!D5w$&nnVfn($rBHB0H4b!86q' TršBc$Br!8r5b!86q' TršBDc$Vpzr+nr“4w$p Hfr4tVH"!8RQDw$§4b!86q' Tr !c$Vpzr+H4b!86q' Trjbnrœ&nnVfn($rPn(!c}Dnbr4tM$%q-n8nb¡D4"nr™•63B%!c}fnbrbrnrJ74HB84‘"!c}DnbrrjnrSSB8nb¡%$en5!c€¦€n+tz€n“&#‘¨¦ˆ(D*nb!8|¤8nb¡w$*t2V|nb¡V_23V4$B‘‡4„Šš¨¦ˆ’‚#¨5KŠš¨¦ˆ¦Xn4+tg“D*nb!8r^€8nb¡%$]›Šš¨¦ˆ’™cŠ‚#¨œrŠR¨Pˆ&XHn4!c“7f nb!8r^‘8nb¡%$^’^c’%“5“5“5’^8BVf623V4$Br~nD*nb!8‡4„Š ™Fl¦“$B'n4n¤B<8nb¡D‚F¨&mzŠ ™Fn4+tg“$-n#n~3BM8nb¡! lB

PAGE 58

50D"]¦h"%/(b&t_1&nprF™„‚#¨r„F™bnrn$H!c$nb‡¦‡ƒ.™#¨4l„$%q'n t4z4B0n#+t4VKn#rœˆ("™F¨„$%q'n t4z4B,!c}Dnbrrjnr&¨¦‰HŠ¦™&nnŽrun(nbrprq!'nb0^ t4z$!c$nbr(4B,n#r_r+n+}frzFS!4tr(n#r%nbr}4!Hnbr!4t lB

PAGE 59

\av™v}vy4vŒ)+G4GBnnL0‚r',)AY9^[‰hkk4kIJL&>n9aJ+])+G4GBnnL0>r',WO&'20‘ ]AY9^]\&'<Ž:Dn,‘2r','r%TtM¡§Rn$r-G&'D,'r'$n4r'07(€19'n$D@4$220?n2(€r-,'r"r-G‘r*&'G&"§,'2#r'$24r>0‰$'1]rr`L8`Fd~efŠ/r>a\4`^^"cbr>rr‰zge‰?doeK3r8r¤`fee!gf6?FdmihD`gkrrixd#hI¡£K>~['>G4$D4V;j‰}h-['hk4k4k"])+G4VnL0LrL?5@[^V44¢e!t/Z$n&)+G83nF0g[:D29'$#'‰qWO$80?"[‚X,"nFn,›O]^œ#$#[r',HP4&>,k^73]L9'Ž(r'G=$n&>‰$DY&'$Ž84n#$]Dr(`L8`Fd~eŠ`>>lfLr> izomOrb¡>br¡‰zge‰?ndoeK3r8r¤`epo‰rri¤…:qh!8r/eVr[">G4#$/¢kBh;j-¢3l'[34B¢"])+G4VnL0LrL?5@[^V4!t/Z$n&)/G483nL0g[CH.r'$n& H.&B8-[BI4&'rJ+]‚ "&>e@[‚tMZ2$&"§r'r. "2Zr[-)/r','$<)+nr'r'G-['r',*C4r'…£o4002r'G4#]‚&'L9'$Ž<,>8€r-r'GI$n($nP]r>`o8`Fd~eŠ+r>6a^`exd!…^"sbr>rr‰zge‰?tdoeK3r8r¤`!eEe!gf6?Fdm hD`gkorriqxdhIg¡£i>~[->G4#$+hel4lgj-hl4-[V4-])+r','HGr§IKJ4r'$$n4rir',K£L,>0–[V44e!6/#r'2Z)+r',-HGr§IKJ4r'$n$4r‘r',N9-$&>r1kT]V£F,'0g]BQM$2r'G$nG4r'89'nIA>02$M@4/E9'#n(r-Ga8r§$##$<,>"]/r"`o8`Fd~e€ŠI>0mX8rHuf"8>a_ie+>Vrfe`L¡¤`r_x?ŠnhIgq£i>~fxd e!gf6?Fdmnhf`gkrlie[V>G$h"4Vj"h4hk-[34B"]£F3(4#[‚VB4he!tD]…£F3(]‘ (#15r>n(5§#$]…,>ea$n9'1r89'nr',qrB8#r>r'1#0G44n2&'$#]nvw`r#b¡K3e¡–R`[4%¦h4kwj"j4k-[V44h"]£L09'rF?5@[…3BjIHKr9-0*£L029'.[qtM5#n]‘ST02V(",[QY9'G4&'rWX[=t<4r>02,¨›X]t<2R$Ž3[Or-,t<5#n]@Ur^]*549'r-,'$I@4!$#0#1#824r^]>x>gfr‰?FŠEdoe+xfbrxda_i}rrya>`rgr¤`r[> Y@l[r%pl4lB;jlB-4[VBj"]£L40025$!rF?5@[^34Be!£L#0?!£L40205$[:D9-ŸNf$[N27824$O:f9'r''9'0$[r',6/#ZZH.r'r'20?-]r§$nn$…$n07(/-502$‚r',DnL#00§$#>8#,!G4#1O$n#$]r`o8go`Fd~e‘ŠD>rl>¡br>v+>Kf'?za_ie+>Vrf"e$doe+xfzge‰?|{/eqrzlie[\>G4#$lB¢lgjl¢-[VB"]£L4”Ze3(Br',J”$n}(4G4029^[…V44eD402GB£L4”#Z3(4r',}kT]MH.0Jf”#$V(4G409^]r','r"2r'G0G#1€$n>1#$`@4!$07(K$n3n1&E9-2$#]K…"l-n-H`r–ge-=e(hIgheVa_iVrrr[\hl_Yzj[r%cj4-VjlBkl'[V44-]£L4”Ze3(BdrF?5@[V4BeDC402GB£o4”Ze3(B-[/$$nAo”,>r'g[Kr',~kT]H.#80Jf”#$V(4G409^]H.81&'2r'G=r-,dr','¡"r'Ga$nE9'#r'1#$IX,-2#rB0#r'G&'$]r"`o8`Fd~e€Š`>a\4b¡>br¡‰zge‰?doeK3rr¤`fez[>G4#$+}h;j3jB¢"[^VB"]¢k

PAGE 60

£L9'n9'$`r?5@[^34BeIJ+]4 ",'r-#(£L9'n9'$[tM$n&`)]4:D4-r>&^[4r',€6+7:D9-']€b¡>–8godfK`rzgeqE.kl?rMxdrPkl?r‚l'n-3e¡Oƒnv„`o¡qr¡]'WO#rB81#6+00g[Or'G402#no",JL022$[\…V[…V4B]JF81e§QY0rBDr',.›‚#”r§ŽJL&'VRn$[\hk4k4kI9>r‹WC,'ndJF13e§RQY0#rB8r', G4r>e§1#!›…4‰”r§bJL&>3Rn?$#]^N$n1VR4#2r'GD$0T'r-$Y2rF$#2$]r`o8`Fd~eŠ>‚a\4D^^"9b¡>br¡‰zge‰?zdoeK3r8r¤`~['G4$hk4kk-]pJL&>r.r',.S\9[^V44e!mD2r"§bWC4r'GJL&'rœr',)/,>‹‹7§bJL&'KS\9];’1#rBa82P$##$1&'r'G5(nLVR02#8$#]r†`o8`Fd~eIŠ+r>mX¡br>8b¡>br¡‰zge‰?‡doeK3r8r¤`Deh!uo~r¡~['>G4$D}h;j‰Vj4j-[V44"]pJL&>rrF?5@[‰hkkBhe!mfr"§W4r-G JL&>r^[o)+,>d7§ŽJL&-*S>9^[or',J+]AY9^]6+4`nF3R4#0r8$@F#’12rBM$220?n2(‘$n3n1&K‚82¡§$n2$#%Tœ2&*r',=n<2&'49-/nL'2r'G']X"\\l-n-H`r–ge-Ie†e!gf6?Fdm!xdhIg8uo~r¡~[>hk4k4h"]Cq-]pJL4rrF?5@[>hk4k-D&-4q$‘6I]JL4r^[YJL&'02$‘]›…#$#$n4r^[YtMr>0,›X]t<2R4#$n[r',‘JL0224,! 2r^]ˆbr>z^dfK`rzge‚vw?)e¡rr]H.13:D3nF§b6/200–[}/#nAYZ\[4G4Y[$n1#4r',#,'24r[>hk4k"4]Nf$rF?5@[…34BeI:D9-8Nf$[‚N27824$M:f9'r'4'9-04$#[…r', 6/#ZZXHKr-r'0-]DSTr-,'r'G$n0Y$#2$]Or.`o8`Fd~eŠD>qmX8r|uf8>‰doeK3r8r¤`eE`o¡¤`r_x?Šqh!a£K>~axd8e!gf6?FdmhD`gkrri[''G4$M4;j‰Vk4k-[V4B]Nf$rF?5@[…344I:D9-8Nf$[Ymfr'G§›…r^[X6MZZMHKr-r'0-[Y:D>0Ft&>r^[r',qW,'&'1+ "(&^]…t<9'0<,'2$1VRn(€@n482$nn$#]^rr`o8`Fd~efŠ<> mCgfr^^"Šb¡>br¡‰zge‰?‹doeK3r8r¤`*e$e!gf6?FdmhD`gkrrixd>hIg£K>~[O>G4#$3wj-h4h"[V44"]Nr'G'[…344!mDrdN#r'G']!'"uT'ƒŒFKo8¤TZ£ rqeligor/eVFdC{/rrn?`f>VVa_i}rrd~?7erFr¡]WO&>N&'$n$["t<581#$Or'$n29-8['JFnr'G/H.0204rQMr'2R$n2([V4-]‰#1&"§r-130…tM#n/^"}……"2…‰§4e§bjj-]X,-0$59-r'r'#[‚V4-!6M5#nKX,-0$59-r'r'#])r' r,-(r>1dr'G4$n3n1&'r'G-]r6fƒ??rzŠI>0uyf8>EvV`rzzge3erl>>e8rzR`?Hdoe+xfr0a>`rgr¤`r[…}¢%_jlwjlBk-[34-4]STr'Zqr',.WO8n3[\hkk4j!O9'G4#r'LSr'Z+r',!mf#RrI£+]}WO8n3]r','r"2r'G/-1#4-$n$#,I82$nn$#]TrPHKZa›‚$Ž3[")5&>•mDr','#0g['r',*6/4n$n<£o9'r'Z[>,'784n$[ŽhIl£K>~l‚qqa^rrg‹hI8rMeVr]"402,K 1#rB82A'1[\ "2r'GB‰4n[\hkk4j-]ST0V(,Pr',.tM7R4$Ž3[…V44¢t<5#na]FST0V(,œr',t<4r>02,œ›X]FtM7R4$Ž3]"‰1r8,œ82549'r-,'$@4$#01r824r^]doe‘R`–ge-IŠDr>/…"I[…VKYzj[r%7VB¢;j\}4h"[‰VB4¢]p:D402,'r*r',Pm!r'020?Z$#[VB¢e!Nr')L`]…:f40,-rir',WTn$DJ+]mDr'020?Z2$]Drd$220?b§7(E9'n$D@4f82¡§$n2$D,>8-%‘JLr'$n82rI$‰1#2A>1824rr',‹2-0rB8824r^]€r`o8`Fd~edŠPr>mX8rqbr>rr‰zge‰?0doeK3r8r¤`ie)`L¡¤`r_x?ixd`onH`r–R`Šdoe-rzn>t`L8n‘‘~['>G4$DVjB@j‰}¢j-[V4B¢]¢"

PAGE 61

p:D'$[…34B¢eD)/qK›O]O:f8'$])+r2rB8,'9'1r824r‹8.nF3R4#0r8$]‹"\\sdoe+xfzge‰?a>`rgr¤`!xduo~rr~['h Ygh[r%_¢kwj"-[V44¢"]p:D9'5$ rr>r1v+>Kf-?€a_i+>VrfermgfxdB–ge-Šdoe+xf"r6a>`rgr¤`r[->G4$Mwj-h4[^VB-]p:D9'0r-Zr',K "7R$n3R-[^344"QY02Ž(:f9'802r'Z.r',I42,'# 2R$Ž3R-]‘R4#rB`,'¡§1r8rD@n4$##$‚,>"]4r`o8`Fd~eFŠY>nmX¡r+…"}""+'<„†b¡>br¡‰zge‰?doeK3r8r¤`Ie†e!gf6?Fdm‹hD`gkrrixdhIg¡£i>~[->G4#$/jjwjlh"[V44-]p:D9'0r-ZdrF?5@[^344"QY02Ž(œ:f9'802r'Z\[/N9'r',> œUn$nZ8"[Dr',I4,- "n2R$Ž§83R"]OWTn8#r"§,'n1#,*r'2r'G$#E9'r'1#I,'-]Tr.`o8`Fd~e!Šfr>‹mgf¡r^^"b¡>br¡‰zge‰?ndoeK3r8r¤`eEe!gfLl?5dm‹hD`gkrrixd8hI£i>~[''G4$/¢"3j-¢4"[344-]p:D9'$ŽA>02,^[…V44e!Nfr‹:D9'$ŽA>02,^]vw?)e¡=e(a\–¡~e8l'8+xdEa^’‘^f>r¤`Oƒ>doe`rgr¤`Lxd1doe+xfzge‰?“rR`zge-ŠD>/…^"I['lKYg[¡%_jBhVj"jBh4h[V4"4]6/9>r-Gqr-,AY9[…V44}AY9-r"§96M9>r'G‹r',WO&'202 ‰]AY9])+,>"82R.E9'#n('n"1#$$b§2r'G*@4!r§$n#$!,'-]qr”`o`Fd~eqŠ>mX¡†br>rr‰zge‰?doeK3r8r¤`aee!gf6?FdmhD`gkrrixd8hI£i>~[''G4$/h4h;j-h4"[V4-]Z,'rL?5@[^V44e!mD#28IZ#,>-[>£o8,'02#(8-]r•`L8`Fd~eœŠ>"\\–mX8r>x\e>"\—"‰">doeK3r8r¤`r[->G4$Mjwj‰4[^V4-]mD#4G4&.r',PWT””3r'g[…V4!X4r'rZI-]‰mD#4G4&Pr',KH.21&>0BI-]\W””r'g]X)/r.#r'&>r'1#,n'n$nrB4r'82X$n2$Cn<&'1&002}n<$‚z$Žr-,`1#19'8o10?$$7A>13e8r^[1#09'$Ž8#r-Gr',‘#0#Rr-1o@#,51Z\]‰r&`o8`Fd~eMŠF>mCgf"¡D…^"pbr>r¡‰–ge‰?GdoeK3r8r¤`ere!gf6?FdmqhD`gkrrixdhIga£i>~[>'G4$/hjwj-hlBj"[V4-]mD#4G4&.r',PWT””3r'g[‰hkk4kX4r'rI-]YmfG4&r-,H.21&>0%I-]YWT””3r'g] "102r'G 9',"("r'21nL-r'Gi@4I,>8K2r'r-GK-'02134r'$#]Kr+`o8`Fd~e*Šq>&a\4^^"Šb¡>br¡‰zge‰?‹doeK3r8r¤`*e$e!gf6?FdmhD`gkrrixd>hIg£K>~[O>G4#$hB¢;j-h-[>hkk4k-]mD#4G4&rF?5@[>hk4k-!X4r'rI-]-mfG4&^[> 02r>`JL&9^['NfVR2,a6+n3[-r',*HP1&>#0nI-]-WT”¡§”r'–])+r4r-0r-`02G4478&'@4f$nG4rBr'Ga`$##$]`r(`o8`Fd~eqŠr>I"\\b¡>br¡‰zge‰?ndoeK3r8r¤`e†hIga£K>~['>G$/h4wj"h4-['hk4k-4]›Cr',=4r'G'[…V4I "”#omf2rI›‚r',HKrI6/4rf4r'G'])z$nC'neUn1r8rI0G44n2&'@P$nE9'#r'1,'$1&-r'G']~hIgxd™e!gf6?FdmruL~r¡~[hKY–j[r%cjBh"Vj"jj4-[344-]¢4h

PAGE 62

›C$n‘rF?5@[>hk4k-IH.ZI›‚$n[Ao4r`mD022r^[4r-,`)5&>mDr','#0g]>mfr'Vn<02,'G4L,'$n1VRB§#n(rL$#2$O,>85$n$#]"\\$l--H`rzge-+e8a_i}rrŽ£d-Txd&d~ihrr¡rzR``F¡nr<[>j-Ybt[r%7V4k;j‰V4-['hk4k-]›‚#arF?5@[‰hkk4kI "#4Z4§b›^(44r-&›…[f "#4Z4§I9JL&9'r^[fN#4Z4§b60…,>8q$#E9'r'1#$#]`r`o8`Fd~e`Š!>a\4br>&br>r¡‰–ge‰?|doeK3r8r¤``e†hIg8uo~r¡~['>G4#$¢4wj"4k-[>hkk4k-]›‚LrL?5@[^V4JL&9'r'G§b "&'#r'Gf›…g[WO&'02I ]&AY9^[r',Q+2n84n/JF$n020g]B"+"!%)@8r§no4nZ@4Or'2r'G$#E9'r'1#,>85$n‚a^lkr>0b¡>br¡‰zge‰?GdoeK3r8r¤`–['G4$/h4;j-h44h[V4-]›‚2rPr',.tM2$1&^[^344!›…r-GI›…2rr',€4nMtM2$1&^]>Lf9-n(2r'GD14rB82r9'49'$O82$nE9'#r'1#$]rr`L8`Fd~eDŠ/r>šigomCgf"¡#b¡>br¡‰zge‰?doeK3rr¤`De”o‰rril¤^8hIgrMeVr['>G4#$D}kwj‰3-4[344-]WTnZr?5@[^344I -r'G4&B(9'raWZ\[N4r'Gno4r›…["r',€$02#(`]JL&9^]^S‰$nXr8n#R0/$n0f$95$E9'#r'1#$ar‹04r'GK$E9'#r'1P,>85$n$#]r+`o8`Fd~e*Ša>(l>#d"\\e!gf6?Fdm!xd#hI8uo~r¡~#uTƒ`-~EKecaV>‰[^V4-]WTnZr?5@[\hk4k-I -r'G4&B(9'riWZ\[ -r'Ge§"4ZqmfP['r',*$02#(=]‰JL&9^]F "G4rBŽ§5$#,i'-B1&*@4<$95$#E9-r'1#`$1&'#$+2rP$nE9'#r'1`,'5$#$]YrC`o8`Fd~e`Š>a\4r>r^^"ša_ie+>Vrf"ervLBx?gFd†doe+xf–~[->G4#$+helBwj-h4¢h"[>hkk-4]Wnr'G rL?5@[\hkk4kJL&>r-G§Ž "&-r'GMW#r'G-[46+7"9'rfr'G'[ (02R?r'G-[r-,IN`]e 1nWZ#]d›‚r','Z$#%)•r'#n",-0O@4$n07(§5$n,>n8nrE9'Ž(r'Gd2r82$nn$L,>5$#$]CrE`o8`Fd~e!Š/>qa\4r>r#br>r¡‰–ge‰?doeK3r8r¤`DehIguo~r¡~[-'G4$Mj4j;jlh"[\hk4k4k-]WX/r-,.Sr'Z\[\hkkBhe!mf#Rrq£+]WO8nor',aO9'Gr'/STr-Z‰]^ "31&q@4O'r-$o2r1#4€§-$n$#,œ*$n#$]„br>rr‰zge‰?‚x>gf"¡‰?Š&brmKxd){FnrKR`r[Mh Ybt[r%c4wj‰3k4-[hk4kBh"]WX[‰hk4k-#!mDrRr£/]LWO8e3]›…13r'G >n8nr'$q2r,'2$1##..$n2$#];HK$n8#^]p$&'$n$#[‰JL4-9-8#+ 1#r'1!r-,KOr'G42r'#2r'G'[>QMr'2R$n2(=O "9-8&.ST0,'-['hk4k-4]Lf9rL?5@[^V44AY9'rB(BL9^["JL&>r'G4”&-49q‹r'G'["r',8›?}(4r'G "3r‹r'G']‚ 9''‰4nŽ§2r'Giz$Ž€$31&r82$##$‘@4`}RrB€>n8#r'$€r9'02'02$n1302$]‹r*`o8go`Fd~e*Š>&a^lkr>>br>rr‰zge‰? doeK3r8r¤`=e(b¡K3erzgexd†e!gf6?Fdm£d‰mrqr>z['>G4#$/h4¢"Vj-h¢-[344-]p -#3[V44k4e!6+r>rœ -#]œvLBx?R`–ge-Ša4-–z?‚hIg"a\–rfK`ršf8Oƒ„doe+xfbr{FnrKR`b¡mq`o8`r~eoxd†{|b3a\]O)/,','2$4r"§g‹#$02#(4[\t<3,'r'G-[\H.)[…344k-]p -#3[V44k5!6+r>r‹ "r3].l>>0h`rxd
PAGE 63

p "&'2Z&'40#$0XrF?5@[V44I:f&'40&'4$#r "&'#Z&'402$0g[L "9'}Un2qJL&>n8Un[/r',)/,'r'G1k&'r'G']‰3R43JL09'$Ž8#%X)œ`9'027§$n409"8r`1029'$n2r'GI''nB1&q@4ORn(0G4$n>?0,'5$#$]qr™`o`Fd~eqŠ‘r>ClfLr> igomgf¡r†b¡>br¡‰zge‰?idoeK3r8r¤`e*o‰rlia¤^8‹hI8rMeVr[->G$1r§$nn$=@4n1$nr'G9'$nr'G0130+''n3-2qe8r^]rc`L8`Fd~e Šd>)lr>"\\b¡>br¡‰zge‰?zdoeK3r8r¤`Me"lVg?_‚fOrv+¡z|`rz?b¡>bl??r¤`r[>G4#$Xj4Bh;j"j4-[-344-]p 8#[…V44e!NfVR2,a ]" ]‚Nr8#1#82r'G!14r$nG4r'0$Xr`9'0782'0F$n#$L9'$b§2r'G/&'Y$‰1#80"rBR4#04‰]x>gf"¡‰?>ŠF>|v+qr¡R`a\zr–R`?v+V`rz–ge>[l'%7Vjl'3j3jB¢-[^344-]AfLrL?5@[\hk4k4ke!£o(449-r'G§bmf#"Ag[-/Z40?4$FN`]' ",'24‰49'024$[&'#",'I4&'r-$4r^[\6!]*Q`]I4GB,'2$&^[oJL&'n$n4$€S\09-8$n4$[Yr',)/0r-,-4$€£L202$#]fr-0r-q,>8d2r'r'G.@4`1e§rR4407Rr'G=82$n#$]‘r‰`L8`Fd~eŠ‘r>a\4r>rbr>r¡‰–ge‰?‚doeK3rr¤`eh!uo~r¡~['>G4$DVjwj"h4h"[>hk4k4k-]¢l


xml version 1.0 encoding UTF-8 standalone no
record xmlns http:www.loc.govMARC21slim xmlns:xsi http:www.w3.org2001XMLSchema-instance xsi:schemaLocation http:www.loc.govstandardsmarcxmlschemaMARC21slim.xsd
leader nam Ka
controlfield tag 001 001469415
003 fts
006 m||||e|||d||||||||
007 cr mnu|||uuuuu
008 040524s2004 flua sbm s000|0 eng d
datafield ind1 8 ind2 024
subfield code a E14-SFE0000317
035
(OCoLC)55731355
9
AJR1169
b SE
SFE0000317
040
FHM
c FHM
090
QA76
1 100
Gandhi, Harith Suman.
0 245
Important extrema of time series
h [electronic resource] :
theory and applications /
by Harith Suman Gandhi.
260
[Tampa, Fla.] :
University of South Florida,
2004.
502
Thesis (M.S.C.S.)--University of South Florida, 2004.
504
Includes bibliographical references.
516
Text (Electronic thesis) in PDF format.
538
System requirements: World Wide Web browser and PDF reader.
Mode of access: World Wide Web.
500
Title from PDF of title page.
Document formatted into pages; contains 63 pages.
3 520
ABSTRACT: We describe techniques for fast compression of time series and hierarchical indexing of compressed series based on the assignment of importance levels to the extrema of time series and their derivatives. We formalize the distance functions used in compression and retrieval techniques. We describe retrieval techinques that use the developed compression and indexing techniques for fast retreval of series from a database that match a given pattern.
590
Adviser: Fink, Eugene
653
derivative series.
minima.
maxima.
indexing trees.
distance.
690
Dissertations, Academic
z USF
x Computer Science
Masters.
773
t USF Electronic Theses and Dissertations.
4 856
u http://digital.lib.usf.edu/?e14.317