1. Trang chủ
  2. » Công Nghệ Thông Tin

Executing SQL over Encrypted Data in the Database-Service-Provider Model pptx

12 225 0

Đang tải... (xem toàn văn)

Tài liệu hạn chế xem trước, để xem đầy đủ mời bạn chọn Tải xuống

THÔNG TIN TÀI LIỆU

Thông tin cơ bản

Định dạng
Số trang 12
Dung lượng 711,65 KB

Nội dung

œ w ¡ z — " F ( xUbb6i64 R #&6)" S U2 R V $ "  n  A S R g @#s… ˆ ¢ † © V F ! " 6@€D#†t  H " – r t  (  r ! " ( " H t © #Avc'&6ha)#C63&'@G)" R 6 " $ © 3P6ƒ7Y'&6ha)•c#hP6)Q…” S a…GW6€&a† r t  (  r ! › g $  © " F "  ( © ( $ (  $ w q " y r H ( © ! – 7)Av&6v@PAs'&aC)”&6ha)#677xa)†T6gP#! S P6˜&H S t  $ ( $ !  (  r ! " " ( r t w "  " F (  "  " &WG@'ˆ'&6ha)•9%&6ha)#Y6…b1( R aW6&6)† S f&”&6(  © ( ©   (  r ! › g  (  r ! " " © $ (  " $ $   w  r ! " " ©  © F ( © F (  ha)')W6@b7G@'T@A6hA S R $ © ( B @b1€g …  … ˆ g H â ( " $ S Â@)|V &#@C žS  ! © r t  "  V © q " $ © " " H H © F ! ( $ – $  F — g 7“#'&W)C@b‡')&@AGf6f&'3|6hha)'#C2 R  (  r ! " } Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page To copy otherwise, to republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee ACM SIGMOD ’2002 June 4-6, Madison, Wisconsin, USA Copyright 2002 ACM 1-58113-497-5/02/06 5.00 r ( © `s6@H w S GWG…'‘'6gA@C#" S l'G#6“&6haD'#ƒ'&G…Q#6h€V © © ( ©  " F (  © $ n  F ! " (  (  r ! "   © " "  © " t (  " " †’6dP#ˆEx)hG|f##'#&&'DW( S 6&9‘ˆ( S 3%&6( S H $  w "  © — g $ " " H H © F ! F (  ( t y  w $  © @a‚G…ba2 R v&GaT'6ˆG…'hP6@6$ ( F  © ( $ " F ( $  © ( ©   " ( 2  (  r ! › š $ $  R ”&6ha)•dG7a& Pa€A@6sa9s#'6‡67&W@P6b…A636)D@A‰64 R © ! $  © " ( $ 4 " F ( (  © " t ( © F ( $ " ! © F V w $ S ! " F ( V R ˆ( R '6™64 R © ( ©  " V G…'9DW6( g y x B ( © $ © F ’3c@c39'6( S 6&9ƒPW6@2 R )†c30 © " F ( " H  F  " V 4 "  $ © $  F — g   F $ H H " e g 6U&'3U%a9P&#vY„ |d{bW@ˆvUa@AW&‡P6a† S i   g F z y x B © r t ( ©    " (  $ "  H " $ V " F ( ( ! " (  $ "     " !   " $ #Q&#aW#6ˆ)#6@6ˆ6)hh…6hg#&76)a‚ F ˜ $  " " H H © F ! ( $ – " F — P”#&“#&@AG€6'g3ta&6…˜)')&@AG™)&6x@G…' g " $  © $ " " H H © F ! r ! ©    w © ( © ( ( $ © " H ( € g r ! ©    © ( ©   31@P&9b•vD6hYG@“G@© S ˆ63)64 S #Wg1&64 S #acv#&#! ( $ " $ © " V r (  ! " $ ( "  w  "     " !   " $ " F — g ( " $ $ © " H t — $ "     (  " " S b7…66YP)'ˆH S 3d)7…69#&76)a9'3UP)aa@&© w S €a)Q‘c@YG@&)'6t)&7&6@G@†6#cgUP)7…6 H ©  r "  © $ © © ( ©   " F ( "   $  ( ©  ! ( $ y g "    " !   " $ w " $ © t © ( ©  " F #&h6Da1DaA@G@’6( $ " $  V "  " F ( $ "   $ " © ( ©  " R €#a&W#6h6qg)a#6jG@“Da$ S ’ ‘ )QŠ  r (  1& S a@†'’u#6@Gs&)© R (   ©  " ( © ( H  ! ( " " ( B " F (  )6)6v`ƒ'6uA@YW#6h’'&aa##v6h © $ V " ( $ r $  $ $ " ! ( $ " 6€6D6( S W#f&@“@2 R  V ! H H © " H t  $ $  ( "  © V $ © F ( " " ( B " F &'&aa†ƒs“€˜@A€)6)6v`”3— y H "  V "     w " !   " $ w " $ © t © ( ©  " F ( ‚#h7WT)7…6x)#&76)ax)a@AG…'Y'6h`Wg ‚–Gh)‘ )dA© B ’ ‹ Ž  • ” “  $ $  " F ( $  F !  F ( $ V "  Ž  Œ Š ‹ Š ‰ ‚GAx•R c" S a&b'6d&WD&'90 R 3W#62 R $ " #'#&&'D•vP's' " H H © F ! ( © ! – w  $ r © V $ " $  H "  V " F ( y " H @a˜v€#a†|#7WT'6†'@U@P&'D#66{6e © H © !  H F ! " ( " F ( V g P…s… ˆ ‡ † $ '&6@P&'@Q6@“&W#PkA6a$ S A&ƒ2 R  ( © v  © !  V "  © ! ©  © H ©  (   F ( t ( © (  V 6@†€7@Ga†W& $  F !  F y " &˜D&'9h64 S )! S a@G4 R &“&6@€62 R &€)&'W#YY'&@A€V R ( ( $ ©   ( © V  q " H  V ! ©  © © ( $ ! " H  "  " F (  ( #”&'#†g6’'&6a( S ™v#6)'69#&'&aa#" R 6”a@A@G@' ! r t " " F ( y $ H ©  $ $  " $ © t © ( © " $  ( "  q " " F ( " © F $ ( $ a6aD†Dg'6˜6@Aa‚6€'&6…P&'6€@2 R  ( © v  © 4 R r © © $ "     ( #bhW#7…6€s y r H ( © (  V  " V $  © F " z g v&6v@Ga†W&ˆ6W'6)Iƒ|9PTs#'6‚„)'6’&#Q#h“6( 4 " F ( V " F (  H "  "    © F '&7PAƒ( S '6s9b#6)hl7…6”)76)ag'6™vkPhl7…6€&6( S H F ( y $ "     " !   " $ " F ( r t  "     $  w $ " © @aW6@b1( R a‚'ˆ6…b7G@AWG)#&˜6T'6…P&'@Q6T9P&&© $  © " ©  © F " © "  " H ( $  ( © v  © $ H H H "  V " F — )7Wh'3i#h”bf9…˜s#'6“…'g&6@P&Q6@2 g $ i y x „ 4 " F ( "  © F $  ( © v  © 4 " R ƒ)†t w ˆV S ‡6@ˆ@'6g#Q&A6@W“#Q#˜P#'&A‚#7WmfT'6( " © H © ( © F ( "   y " V "  "  " "   y H "  V z i € " F $ " © ( ©   © " F ( H H © $ (  " F  " !   " $ © $ © " $ © t © ( ©  y "   ( ! "  R 3)Gv@hc'6†&6&6D''&#&h6DaT3Ca@A@G@'hQ&6)#†a$ w "  $ $ "  aD†Ia#'&a$ S d'6ƒ6|Pv#W#A@€cG…'‡&u)v#C'1)" S  t " F ( V e g ( " V " © © V © ( ©   " r © H   © w H © ( q " hD'f6‘hh…6h R ˜`s&&'&aP" R " F (     r ( H  t  $ © " F ( $  '6b&ƒ&6#" S |G4 S @Af'3—  ( $ n H © ( © " F g $ " !   " $ $ © $ $ " ! ! © " H –  ###&76)a•ba)##c&AY'fG@697@6h6&'&aa†U&U1B © " © ( $ "     ( " H t  $ $  $  ( g  © " F "  $ EP6)Q…b'6…P&' S  ( © !  V V ! " H " (  " $ © " !  r H t  $ $ W)#gPa#6)'&˜&&aa† " D6( R u#Q#‡)ƒ)76)aY'6ˆ#! S P6g6•6v#6†W6W6D'6( © "  " ( $ ! " !   " $ " F ( "  " ( H ©  ( " (  " F ( $  " " F y $ " S #6)a$ ER d)†‘V S c6@CU)Q…Y##&6aW6@U6)‘Ph'b#&hi " t " © H © "   " v  ( V © " © $ ( $ !  " q – " !  g $ #'6…P&'@Q6U9h6@36@CA@v&€ac6|)6)6v`d'6|)Q…2  ( © v  © "    H " © H  © H H © V $ ( ( " " ( B " F ( "  $ " !   " $ 4 " F ( "  $ z i € g  ( " â V   F $ )#&h6Das#6)EdfWh'&6)Q6u&'a'&6@#6Âa)W6$ S !  ( © H " w " V (  A@U'&'g#64 S a#6€a&66)6v#•‚&67#Aˆ@™D! S ˆ##&76)a$ © y  © H  " ! $ " " $   " ( " y H H r ©  $ © F $ $ " !   " $ $ "  a)'&a$ S €@&W@© R t ©  H  V @2 R y $ ( #6)! S 76”6@3`( R a$   " © 2 r ( "  ©  ©  R d`D6…‚j&a$ S y $ #'&6( S a6…b`( R a9)6)6‡&6a( S  R 9a…C'6€&36a)†h)€vt  H $ " © $ " F ( " (  ( ( © " F (  $ ( "  q " r  "  © ( $ " © $ z i € g ( " " ( B " F ( "  " © PE@Gc6@•hCIP)'6)6v16U)@f6@b1( R aa$ S $ " ( " " H    6c#&&7&6 " F ( $ " V ( '6d6)W6$ S c9h637…6••hCd#df3@a6)7…6 ! "    H "     $ z i € g $ z i € e $ "    r " ( © ! " © R ja@#6…P~)'ƒ”6(  " H $ © F P&g@AtA@CP)6)6v`‚'6˜)Q…j6$ S  © y ( " " ( B " F ( "  " © $ © F ( B g r ( AC1Tvaa$ S A&W6@3`( R aY6’2   " © $ " F ( ( ! ©  V   )@AW&™A S R 6’m'ua&€@AW)6)6v`˜'3t#a)'&a$ S 1D"  ©  © F $ H © $ © F ( " " ( B " F — g $ $ "  t w © " " F (   " " F R ‚GDƒ6ddP6D'a$ S w 6D6'@Ga( R T#')" S h&‡3P)'6@'‡W6“P6)#'#T†t  ( ! © $ © " ! w  " F — g " F ( © " 2 (  " ( ! " ! " INTRODUCTION " !   " $ #&h6Dad&6@P&&'`P&&PT#aa#&a$ S t  ( © !  H   © X  " H H © ! $ " $ $ "  g  " ( " $ "  $ H © " © F ! ©   © %P6v#a#6hWa&T6@“D@Q64 S ˆ'&6…'&b67)W6D†D"  ( ©   H ©  $ ( " V  "  q $ ( $ " ă g " ( $ ( "  H ! " F ( ( ©  ( ©  V ! " F ( " v  V   V R T6&H S #c€6sa‘v#&&#ˆ6T@u&6@G( S W#Y'6‘)W&Wg6( r a)" S h'6ƒ&&au6k6@3)W@G4 R n " F ( (  H  $ ( " V © !  © t " H © @G#&t@g#6@&'h)˜)†' © $ " H  q " "  © " F — g " ( $ ( "  H ! " F ( ( ©  " V 3•6sa•7)&#b6d@ˆPW6@2 R )†96…T'&aa##v6h‘aD" S 9'6( R "  " ©  $ $ " !  r n " F "   © V " " F (  )hA&€)6T6gA@”&6ha))CchG@Y69ha)#h€6€&hP'F ©  (  r ! " „ g © ( ©  " F ( (  r ! "  (   © ( S '6s9A6&a'#6)7…6T#&76)aT'6c@‘&'&aa†c˜a)" S ‡6( F ( y " (  $ s $ "     " !   " $ " F ( ( © " H t  $ $  $ © r n " F F R gG! S V $ © $ $ " !  ( $  r " ( © ( $ @Ca##v6hW6c&g#6…Ga4 S " y "  ©  $  F ( 3•P)†@Aˆ&'6d1™%P6$ S a( B g  " ( )Q#k#6)#66h”†j6W##'‚G@'b%A##7i#6Da6( S "  "  " ( ! " (  " t ( $  " " © ( ©  y  ! " i g $ "   $ V 64 R g r ! ©    © ( © v)&6YG…' R ‡" S a& $ $ © ( ©   " t G@'‡)†" S a•vGa@†W&W###&&AG'@G)Q#aU##! S 76av& $ $  ( © (  V  © y $ " " H H © F ! H © "  " $ $ "  ( c6)9hv@‰64 R  " " F r © V © ( ©  "  "  ( "  G…'Q#&6a)6ˆA@7vr R h7W6676…P6)‡6( © y   V y " ( $ y " ( © " ! &6)#66hƒ)66&c#)#&h6Da‚G@6fGD'#9###&76)a&@€V  ( ! " (  " ( $ © $   y $ " !   " $ " © ( $ H © " " y $ " !   " $ H  © rH H ©  ! " V V s&#6)WW#! $ " H  V © q " i g   V ! " $   " ( R 9#&'W@'DpH ¤R a###! S ch'&6( S W#Ta&66D67)" S $ $ " ! " © 6@b1( R a’hl7…6m6( $ "     § r g © ( ©   " (  r ! " "  chG…'˜P6ha)#fDQ…2 $ "  #&6)" S qC'ƒ6( S #h)”6#" S 'D)6ˆ6&'h)€3uvs&#As##†7i n p o i " ! " q " ( $ n  F ! " ( " H  q " " y rH H © ! – ! "  g " " H H © F !  #&@AGm'#)a˜6mW$ S v2 R ! " $ " F ( ! " t ( †c@''@P9#Q&#aW#636)7…66( R #6)hl7…6T#&76)a6( © ! $ "  H " $ V " F ( $ "     " F  y $ "     " !   " $ " F $ 6( R 6‚G…'g'&f#6)#66h€”6sa€)hh…6h1D#&h6Da$ " F ( © ( ©  ( $  © ©  " ( ! " (  $  " ( $ "     w " !   " V 64 R " F ( 6d™P66hG@g6Y@'6™#64 S a˜†‚6‘##'hG@g6(  " ( $ © ( ©  " F ( ( © F (  " $ $ © " t ( $  " " © ( ©  " F " " F ( y ( $ 4 e g $ $ $  r ! ©     © V ( " © " " F R W)9…˜'6•P6sIf#)" S a&d)@&6™&€‚31˜6…“6)3— " F ( $ $ "   © rH H © ! – ! "  $ " ( © F ( ( q " ( 6a#67'ƒs&#As##†a3…A6UhD67#&6€&3&1uv)@&6h ! $  F (  $  ( B g r ! ©   ( B g ( " " ( B " F ( ( $ $ " ! ! © "  © F r " F ( $ © x”P)'6D671€'6“6Ya#)#ƒQPA’)6‘‚&Y@E63W6( H $ © y  H " F "  $ " )3P†%6)a$ S #7…6#7W9##&76)79IUa'G…`#)#&h6Da$ $ "     H "  V e " !   " i © $ © " $ © t © ( © „ X g $ " !   " !  6a)))PP)#a#6ax@1av#6u S )'&p#)76)aU6@3`( R aU&7 ( ! " H " y ( " " F $  © "  $ w © w ( " " H !  $ " !   " $ " © $ " H t ©  2 R #7Wf##&76)acd@c6@b1( R a`Y6( R 3#')6)W#U'6TP&#" ÔR H "  V e " !   " $ © $ © " © $ X " F " ! " " V " " F (  " H S "  © F $ "  H QPAI)&'G#6E)'6D671CA@9'&7631)'&%##ă F ! " ( ( " " ( B  ©  ( "  $ " ! ©   ©    © ABSTRACT IBM Silicon Valley Lab., San Jose, CA 95141, USA, balaiyer@us.ibm.com Ơ Ư hakanh@acm.org, chenli,sharad @ics.uci.edu Department of Information and Computer Science, University of California, Irvine, CA 92697, USA Chen Li Sharad Mehrotra £ ¥ Bala Iyer Ê Ê Ă ÔÂ Ê Hakan Hacgumus ă ¨¸ Executing SQL over Encrypted Data in the Database-Service-Provider Model g H "  " H ‚#Q#&ƒP6f'69…T'hc˜&6ha)#" " F ( ( © "  $   (  r ! $#WV S a@3)†@Ad&'6( R •#6b3•|&6h6Da#ˆ#&@G)2 R @  … " $ $ © "  ©  $  F ( $ " " F — g  (   ! $ "   " H  © ( "  © ˆ ( $ "  © "  " ( $ " " (  " F ( (   "  g $ 6|6)hP6CP6)6)6v•'6%v&†•u!##'I6T9PI6sp@AF !  © $  $ ( $ © "   ( © " ( H © F ! © › g H "  " H Q&6@A6D6&@ƒD@U•‚#Q)fP696( R ˆP6&A#Q#&c6( S 6aa…c'6( " F  © " ( $  H "  " H " t  ( ( © " F ( © (  r ! " ( …Uha)')‡6W#a'G9QPAWs#Q&6…A6)6s€H S #c3…A6962 ¥ " $ F ! "  © F rH "   ( © " (H ©  ! " ( © F ( " (   "      $  " Phl7&9&'GC&'96b@'6WV S ac3g …XX©† © " H F " F ( ( © F ( " $ $ € ˆ    ( … " 'G'6( © " F &&f6( S &6aa…96( R ƒ&€ R b#" S C6fa† S UQ…†©  "  H " t  ( ( © $  F  © V 2 $ H ©  " F ( " $  i g "  t " H t © G( x … †£t " F 6( R § }| 'Ut " 6( S 6aa…36u)a'#&'W)‡I€ t  ( ( © " F ( "   $ ! y " H  V © q " © $ ( 0  x ââ)â( x ( px Ư " 30 s $ s„ & R g r ( ( " " V © $ " F ( " t ( F  V " v`s6v#W6f'6f†9v&Wc)a$ S "  " $ " F ( )6)ad'6C•66•3)D¢ " ( $ " y ( 0 2& ©©©©( „ & " 6( S &6aa@© t  ( ( " 6( S &6aa@gƒP669&c@'9˜&'h)fu t  ( ( ©   " ( $ $  ( © F  © H  q " " $ $ H F (   g  " ( © " ! " t (  " " " t  ( ( R Ya&‘( S 6&q#%P6…P6)€†Y@'j##'€6( S &6aa@© „ } } ``S  y " H  V © q " "  t © " F ( B g $ " ( © !   "   ¤  © F ! © " $ R |&'W@'DYQ…†ˆ'6h`ˆ#)6@P&#6u&`h'jD6…Paj& q "   )hA&ƒC6…P6)‘6ƒa…6a###€s'31B © " ( © " ! ( r © $ $ " ! " rH $  ( ¢ }| 9s '`} ( s ``S ( s Ceƒi ( s SÊt ( s Êt ( WƯyâ'Ă s Êt } } … „ € ‚ t …  ~ }| t€ x v u t x … „ – ‘–x‡¥zbSn h y ‡ ˜ ‡ ˆ ‰Uw vu ’ˆ “ ‘©ml ‡ n “ ‘–y©ml ˜   yy©“ „ & " t H H  ( © F †|&&9b@'6( " F (  '6˜'v#&&#C'6ƒ#6( R © ( "  H ! " F ( " r £ ( & $ 2 ( ©H " F ! © " & )£ '¡ %&6@#6GP|e F $ …fa$ S a&f6'9$ S ! $   ( $ – ( " H y © ( ©   " (  r )&†hG…'”P6haD! g " 7#&6)#h”c)†@AC6C S )')!  ( ! " i  "  ©  " F ( " H ! "  g © V F ! " t j!†6@€D#†xUUbC6( œ w ¡ z — " F w "  q " a)†h)94 S b#8 $ "     k t ££t k j ££t k £j q k j £©i ™ ˜ “– “ d©—©w• "6( S &6aa@C'6b2 R t  ( ( © " F ( F P'™&'h)b&&9ƒj  © H  q " H H  " ™˜˜ ‡ ddxUr ’ £h r s ™˜ “ d©ml ” 9g h ‡ ” “ ’ H©y‰‡ " F '3— $ "  #&6)" S gb6sH S #6A@Gv#W& n $ ( $ " H © ( " V  ( (  H  $ r t r &6a&&a‘v‘a)" S c6s6b)6C6m…9P'a$ n © " ( " ( F $ F F D! S f66…G)†u@A6…#6|@© S 7&' $ $ ( © "  H ©  ( © H " H      &6)#7’#9…&&2 R  ( ! " i g $ H H ‡ &6)#7d%#67)WV  ( ! " i g  " ( " y %&6)#&#a€@©  ( ! " H " $ $ F " t  ! $ "  " P'‡†&6)a#‡0 ¢ &6(  F $ " $ P'9#aa$ S a&Y&6)#7i ! $     ( ! " $ ©  " v  @dP#&'@Q6@‘&‘)†'W'6( © $  "  ©  " F F $ ( " $ " P'€6v#a#6h ( $ " " F R ‡#6W3— g © ( ©   " (  r ! " "  hG@˜#6ha)')DQ…2 ©  " ( V  — $   S &™'™P6sW&&H $ "  #&6)" S ƒC™)&W#h'&6( S #h)mYv#&#! n p o i q " H  V !  ! " q "  ( "  © ( ©   " (  r ! " "  !  ( " G@'ƒP6haD'#9)@f6DWV © ( ©   " (  r ! " G@'ƒP6haD'#˜gG6@#h†63b4 S ‘6˜P6@#6C6…“G&'90 R 2 F ! © " i g 2 (  " ( © H " " © F !  F " F (  F $  H t © ( $ "  © " F "  " H t '6ˆ&'a&&'G)gP6)Q…&'@© w aP6€6s9€P#&'GC†˜P6)7…6C#&76)a‰64 R $ © " F (  "  "  F ! © " t © ! $ "     " !   " $ V ( © F ( F $ $ ( …A6uP'a|6sH S #6|4 S $ " r ! ©   )@&6h r g $ "  d#)6D" S %$ S 6DWV S I)@T@#6@Gap4 S R n " "  r " ( © ( $ " ! )'€6@2 R )†U'6c'&6#6CvYG6d4 S R ua#')Q&6)#E)TA@© © V 4 "  " F (  ( $ " ( r t F ! ©   © $ $ " "   ( ! "  "  t©i p j £f e j £p q f £e ˆ ‘‰‡ r ( H  t  $ © `s&&aP" R " F ( " H  q " " y rH H ©  e g '6c6&'h)f37vs@A&IU|6…Gv#a#6)6W#6ha)')"  ( © ( " $ "  "  " (  r ! "   ( " r )@m'&6s6b)6ma)" S “2 R n " V © 63DWG4 R !  © t " H &G)&© @k&'&# ©   H " w "  )htvg&6‚Q)D@jjva)" S ”DQ6)a‚'6( r t H © $  F ( "  "  F ! © "  g r n "  " $ " F  $ $ " !  w ( $  aa)#v6xa†32 R &6@#64  ( © H " q "   " F ( ( $  )'&C'6‡63A†a#64  $ " ¡ t€ x v u ‚79y©t V 64 R &6)#7•%##! S P63&97)&#'6b…g6…G( S   ( ! " i g  "  " $  ( "  H ! " F ( ( ©  ( © w V ! " F ( ( © F ( F ˆ#f6@'6WD! S vva)" S 9v#&&#T˜'ˆa)" S 9)6)a‡‘6v&bs $ y r n ( "  H ! ©  © r n "  " $ © (  ( w " H  V  " © )&W”6…k7k S 6f'9)'#6)EshgDa9|&`Ô r t  â y " ! " "   ( " $ y  w ! " i )#7h`3P)Q6)aT'6c@WG…'“#6ha)')'6“”&6&hA#W€6( B g "  " $ " F ( ( © © ( ©   " (  r ! " " F ( 2  (   ! ©  " ( © H $ #6@a'@Ga9&€a)" S Y“&“&6&hA#‘© © ( $  r n ©   (   ! g "  " $ " F ( P)Q6)ag'6kfP6@6kA@fP6hha)'#€&’G…'  " ( $  ©  " (  r ! " $  © ( ©  "  " œ g " DQ#3PU64 S @GD" ( © r "  " © " $ F ( r t  "     $ "  ( H © a)6@a'6Wvƒ#7@6h)6s&'&6) –R  ( ! S w ( H " F ( as&C'6ƒƒP& S g##†QPAF @£s…   "  ( $ " " t "  © ˆ  † w F ( ©    6s6…&T'@%#6a†' S p&TD6…PaCG7)Qs'U6D'9@y P … © y  " (  $ $  F ! © " $  r " rH " " F ˆ " V $ $ © " © Wa€P6…qG6@Pa#6Y7)6)Esq&d6@3ˆ$ S &h)6W&“6)3— F ! © " $ " ( " "    2   "  $  " " F g H "  V " F ‚#7Wf'6( R g`s&&'&aP" R r ( H  t  $ © ˜ "  " PDQ6)a$ x … †£t " F ( ( © " H t © (   '6b…C&'@GY'&'†a#6a@#Tˆ6ˆP†'@€b&f&'@G(  $ " 4 ! © (  "   © V $  " H t © j‰£{ { j £t j p j Uo ˆ ‘y r a)" S bv#&&#T n ( "  H ! â  ¡ $ ( $ " R “6sH S )64  'P)Q6)ac'6€€ S © y "  " $ " F ( 2 ( $ 6'&6@#6P6ha)#)Qha)" S hhAa#6a#T à  ( â H "  " (  r ! " "  r n    $ " 4 ! © † x … †£t g $ " " r H  V " #)#vP&'W#p( S †@Y&6@€62 R &I#6@6I…A6uP&#†t t ©  ( © V  $ " ( $ ( © F ( H " © "   $ CDa'#A&W)'cP)6)aT'6c@ƒ'&aa##v6hgaD" S @2 R ! y " H  V © q " e g "  " $ " F ( ( ©  $ $ " !  r n P"a$ S w a@#! s & 6( S &6aa…jG•› ¥ ‘ƒ6…#6“&‘&' S ˆg6cA†a#64 " t  ( ( © F ! © g $  ( © H "  " H ( © ( $   $ " w ! ( © F (  ( $  " (  r ! a@#b@'6‘6a€P6haD'#ƒc#6@6Y¢ g ¢ g  &6)#hg&ƒ#'AD " © $ " ( $  ( ! " i   " – " t€ x v u W9yw£t ¥ g "  " $ " F ( ( ©  " ( PDQ6)aC6c…“P6@6$ $  © ( ©   " (  r ! " " F &ˆG@“P6ha)#T'6( w " "   $ $ " !  r )d)Q…T'&aa##v6h‘aD" S 3@2 R #" S l'G#6da$ S a&9c6@2 R Ux n $ n  F ! " ( $ ! $   " " " Ž v & $ vC'USƯx Ă ~ | u| u „  ˜ $ H H #9P&&2 R @â C'USƯx 6D' ÔR â $  ( ! S ~ | u| u „  " '')Y3Evs@€6'Y|@6)Q…˜hT'6s6a…Ag`”v¢ ¡ – "  " y rH H © V e g  © H "  ( 2  $  ( ( ©  ( r ©   A@7A&@€c&93'6d)Q…#U)6)6‘#Q@GU&6s6a@Aba)'6( © Œ  © V  " H F " F ( "  ! " F ( " ( " © ( $  ( ( â  " $ " F Đ Ư  à @'6gD! S Ay ‹x £©©©©£ x '&6s6a@'ˆ6v& „ & ‰6( S &6aa…© R ( © F ( F $ $  ( ( ©  ( $ " t  ( ( † Š ( 0 ( ¢ „ ˆ¡ )" S  R m&€”6m@€€6'gj†#'&6…G'gWa$  © V  " F (  © V ( $ – "  g $  ( © ( " V ‡ $ H ©  H "  "  (  " " &##‘6ˆP#'†&&9va†64 S 3&6d‘$ R H H  " y " $   $  F ( e g F ! © " D@Pc2 R g %&6@#6'6(  ( © H " " F " t  ( ( © F ! © " "   " ( © " ! $  q "   © ( © F ( " $ $ © " R €6( S &6aa@™GP‘)Q…dP6@#6)‘&j)'d@ˆ…A6ˆWV S a˜30 y r (  H © " v1&&@G)'#8 " $  F ( &6‚h)'Y'6h#'6||&`%‡j&6)#&#aƒ‡)'6s#’ q "   " F ( " F ( y  Ô â 2  ( ! " H " $ © " F ( " " 6( S 6aa…#Q&Q7f@'6“a)" S ˜'‘†‚H S 3‡6)'6@A6)'75 t  ( ( © $ "  H   ( © F ( r n " t  " " F ( ( © F ( " "  H   $ " Q&Q7&3#6( S &6aa@c@2 R t  ( ( © RELATION ENCRYPTION AND STORAGE MODEL $ & 2.1 Partition Functions " 6( S 6aa…g6ƒ6D'90 t  ( ( © " F ( " " F $ '6…#6ˆP6ha)#' S  ( © H "  " (  r ! " ( 6v& "  r DQ…€a)" S u@A&&6gsaY6b#" S  n H ©   © ( H  $ ( $ n  w F ! " (  H "  "  " y  " ( $ hD#6€&##f37%P6@6˜&6@€62 R &€a@&&hq S '6€ƒPax  ( © V  r ©  H  © " F (  " $ © g $ ( #6sH S #6CaD" S •)Q6)a‡'&aa##v6hxa†uW62 R )†TAP)Q6Da$ $ " r n "  " $  $ $ " !  w ( $  $ V 4 "   © y "  " " F ( 6˜“&6@Gv#a)6#6C6…l6h6h'C'6‘6b#&6)" S c)a$ S 2  ( © ( " $ "  " " ( ©     © " F ( ( $ "  n " w $ '@Ga€2 ”xQx‹ © ( R Š ‹ Š ‰ Š  ( © 6…H ”  $  © (  © V $ H €'&@G7&@€da@© £ 7)&¡ ( "  H g "  " $ " F ( ( P)6)a'6â  ă  â 9v)@&6WG''&#&GA#Đ( S 6s90 g r ! â    © ( ©   v   â  " Ô F ( © ( ©  " F ( $ " ( G@'‡6#6@6$ ‹ "  " $ " F ( ( © )6)a€'6Y…W4 S #vh6‚&aa##v6’a)" S n ! ! 2 (  $ $ " !  r $ H H â  q "   " F ( H H © ! " F !  F 9P&@IƯDA&b6&P9YD&90 ( 0  s1 & )âââ( sƠ & ( Ê s & ( W9ywÊ'Ă H$ t€ x v u t s ˜ |&6…l)6€P6hha)'#g©  ( © H "  " (  r ! " ¡ ( V ©  © ( " R Yv S Wm&Ga))! &6@€6@2 R '&6s'€6s90  ( © V  H ©  (   © F (  " ( " V P6v#W8 S &‘a@AG…'˜P6ha)#T'3ca@AG…'“#6ha)')" © $  " $ © t © ( ©   " (  r ! " " F — g " $ © t © ( ©   " (  r ! ” €  ”   )“ " F ( $ " ( $ F "     " !   " $ " F ( r t  " ( $ F $ 6ˆ#66‚'9‘)7…6“)76)aƒ'6j7dP6'W& g ( "  H ! " F ( ( Pv#&)‚6d6fa)" S ‚6g#a† r n " F ( $ " $ w  –R S r B @ q V B q4 I V @ g @ B f4 T d @ a Y B V4 T @ B Q B I G F D B @ 64 9U!Êpi)7cCpiheAW!eUcb`XWAUSâR!PHƯECA9753 " " F #66(  " $   V ! $  R ’Pa&6hW#T&Iy † ”  )“ • € g $ "  ( ( " H © ( " V © ##&6s6v#f@Gv#W " 64 S Iu’9P'aW6@~P'•6a(  e  F $ " © w H w #”A@ˆ64 S D#6s'G6@W&a'ˆa9†“#6h‚#a†6hC4 S !  © " ( ! " ( F ! © !  $ © t " $ F y V " ( $ r $  " $   r g ( "  H ! " F ( r t (  " " H ( ( H F (  " Pv#&)C'6€vcaE)&6as&“6s9€P6( S W#†“#!  V ! " t © $ " $ 6)'T6˜A@†P)6)a'6c@T‡†“@P€'&aa##v6hˆG@ © " F (  © y "  " $ " F ( ( © "  " t © !  $ $ " !  © ( © " F 6( F R mG! S  '9#¥#&6)#&#aW@fG! S W#&6)" S n â y $  Ô y $  ( ! " H " $ $ © F $ $ "  V y $ 3#&' S  " t " © H © y " ( © H © " H ! " V ! " t H H  ( B g $ "  F ! © R c)†YV S Y6@€T2 R P)6@…P&#‘W##†d&&9f1f##'&D@€V ( "  H ! v#&&#k€4 S )vj6ˆ'u'&aa#)v6’G…'ma…€6h{P'“#&a$ ! ! 2 ( $ © F  $ $ " !  © ( ©  r © V   " !  y H "  V "     w " !   " $ " F ‚#7W3)7…6x)#&76)ac'6( R fGvWa)#bW&@9#6@8 " © ( ©   © r "  " ( $ V H © $ " ( © w ( V F ! ©   © $  F ( s6sWWD@Q6h'U&'6•( S x g ( "  H ! " F ( ( © r uP7) 6U…YaD" S c'636( S #h)ˆA@© n " F ( " ! " q "  y $ " H t © ( " F ( (  r ! "  y ( "  H ! " F ( ( ¢ " (  $ "     " F ( ( ##&'@G3'6uha))7Pv#&6C6I£6&a•)hh…6h3'6•@© ¡ "  " )Q6Da$ " F ( 6i64 R )GP6ha)#36sa& S P66IsWa'@Gaf6I&ˆD@Q6h V $ " H t © (  " (  r ! " " ( $ n " " F ( ( V $ © ( ( $  F ! © w  @©  © G@ba@2 R v&@Ga$ ( F  © ( € g " ( $ "     " F ( ( ©  " (  r ! "  " 6sa€)7…6”6ƒ…k#6ha)#hh†t ( @'“#€WG@“P6haD'#f@A6cv#W#6s S #6‡3CP)hh…6h r © V © ( ©   " (  r ! " ( © F ( $  ( " V " n " " F — g "    " $ © t © ( ©  " F ( a@A@G@'d6ƒ64 R V &6))66%#h S #'&|sU#&af)&W#d6W|&  ( ! " (  $ " H !  ( " !  $ q " H  V ! " V $ F !  F y r ! ©    © ( ©  e H © ( ( D&'9PvD6hcG…'f@G6xX ( © F ( $  " " H H © F !  ! " $ " F R p@'6p&#&&AGTA)#a3— ( H 6†© S P9&c@'6‚a)vg n " $  ( © F ( e g g " $  " H £†7X£††hX©7X£† u6WP6haD'#9&&' † †   † †   † X (  " (  r !  $ " H (  " (  r ! " " F ( x … †£t &C#& S ”P6ha)#Y6˜6( H ! ( $ – " F t€ x v u W9yw£t WV S #6'9'3— w S 6'‡'6|#'@G'&TYg ( ( $ – " F ( y " ! © ( $  e   '&'†a#6a@#‡'&6a6U@Gv#!  $ " 4 !  ( $ " F ( $  © ( ’  ’  ƒ ‚ „€h‚  Œ  Œ ‹ „’ ‘ £‹ ƒ ‰ ‚ ‚ —h—„†  Œ’ Ô h  ĐÔQhĂ Ê { ‡ † £e—I… { ’ • ’  ƒ ‚ „€ { Ž Ž  ‹ ‹ ‹ ‹ ‹ "ĂĂÔÔ ĂĂĂ Ž Ž ‹  ‹    ‹  "ĂÔ Ô ĂÔÔ ‹ ‹         "Ă ÔÔÔÔÔĂ "ĂĂ ÔÔĂ ‹ ‹ ‹ ‹   ‹ ‹  ‹ { ~ } | €—m6"{ ˜ "  " $ " F ( P)6)aC'6˜gP6@6$  " (  " (  r ! P6hha)'#g'6ˆ&d'&9P&2 R " " F ( $   H H " H ( © (  r ! " (  " R ”&' S ’˜ha)#u6kPa$ S  z  x u ¢ ˆ¡   U ( ¢ ˜ " H & S ‘#66$ ( © $ " ( "&H' S qG#g@'e ( F ! © " " ( $ 66j6( £ " F ( y " ! 63#Gˆ'e © ( $  &6) ÔR  ( ! S " F ( $ '6W& ( 0 c )âÊâ(  Ơ ˆ¡   U c  y  § x ¡ w   x ˆXx U c ( ¢ i ââââ( ( 0 Ơ s PUt x … &6@#64  ( © H " g %&6@#6˜'6(  ( © H " " F u UC)£t x … „ v ~ " " F 6D'90 g d A‰@A6( © F " ( © " ( D6@P6@f@'T" S ˆh&Gv)g#€c#GTa'9c'6s6a…AW6( H ©  ©  © ( ! r © V $ " © " $ F $  ( ( ©    '&'†a#6a@#b6)'&6v#h R c)aC63&ed  $ " 4 ! $ " –  ( "  ( " $ " F ( $  ¢  ¡   To  C x (   6c&A†a#6a)p6)'&6v#h R u)ad'6|Eed  $ " 4 ! $ " –  ( "  ( " $ " F ( $  ¢ d p’ „ & d n ¦   g  x¡    u ~ t } Cm7€ x h¢ ‘£ ¡9£S| j UŽ kEf ¦ ¦ g x   u ~ t } i ™ x h¢  ‘¡   ‹£S'|  ¡   l  U x Ž ed ¡  U ¢   l x " F ( " 6ƒA)hgj – "  " c R p&H S #64 ( $ " g " $ © t © ( ©  " F ( (   " ( " $ a@A@G@'C'6Y6v&gP6a)a& " © $ 6…€#" S “6ˆqP6…P6)“†kPm)3ƒ'&)†g'6€…© H ©  " F ( $ ©  " ( © " ! " t © ! r " F — g   " t " F ( ( $ '&6&6a…AC6( R %&‡6@P6Dˆ6˜a…6a###9&9sc@A662     (  ( ©  " F H H © " ( © " ! ( r © $ $ " ! " ( $  ( ( © F ( " (  A3y © e @'˜g &  # !  x g  Đ "  à h  §)"GU c & Ž ¢ X  ¢ ¡ h„  §)" U iy  Ž y ¡ h„  §)" C f)'G& c ¢  &  # ! x c y " ! © ( $  # ! x   t  ( ( â  ( !    © V " F $ H © S }| x … " Êt PUt 6( S &6aa@2 R 6D' ÔR '@€W'6( R T#" S  " V $ $ F $ " H t © ( Wa”9P'au&'@Gq'&9P&2 R  H H " " F y x   u ~ t }  x 6)'9D¢  ‘¡   ‹£S'| ¡  x „ ! d ©  T C g D w ! D' ÔR S    © V " F &''@€3'6( R V  hA@G4 ©  Š € UŽ " F ( y "  t © " H  V © q " " F ( '6C@†@u&'W@)j6ƒ1B g d $  © ( Af'&Gv#9@'6g&6s6a@'C'69& ! ( © F (  ( ( ©  " F ( $ c V&6)' –R '&'€ˆA)h  ( !    © V © " – " S b u ~ t } ‹£S'| r © V #€“&6) –R  ( ! S WPa$ S © $ ©  " ( â F ( @A6h&6) ÔR  ( ! S F $ © F " F a@A6( " t r © V †Y#€€&6s6a@'  ( ( © F $ © F " " a@AW#64 R h&a&&#€© w  $  H H ! X  y W x   u ~ t } YR dD¢ G‘¡   9£S| $  €6s6a…A92 R  ( ( ©  © UŽ V¢  ‘¡   9£S'| x   u ~ t } " S €&6)' –R H ©   ( ! S f F !Hg u ~ t } 9£S'| " F 3— F d4 q4 q @ G7Ê7âCig ECU!Ư753 D F B B @ 64 0 337 0 465 A  @ " 64 S &Iƒg  e „ & " 6( S &6aa@© t  ( ( R  x u ~ t } 9£S'| " – ( "   DAs6v#“@’&aaW6( ©  $ $ © &6@P'&6v#hk@“'')“3d6W6D'6a4 S e  ( © ! –  ( "   © " – "  " y " V " F ( g rH "   ( ! "  $ " y vs#6D#†a#6h|&6s6a@''6( R ƒa@'' S †9)†' S  ( ( ©  " F r ©  t "  © $ Y& y g g h8 " ¡ „ x  A@CD3P&H © " " " g " ©  ( Ư Đ x a$ S u '@Gc$ S S &6v)!  A@© &6s6a@'”ˆ…A6WWV S a@9&9€3uDU6( S &6aa@©  ( ( ©  © ( © F ( " $ $ © H H  " y ¢ " t  ( ( }| 'Ut " F 6(  " PA)hb‡&”'&6)G@dD&9‘)@’l)A“h6‡hA†a$ – "  H H " $   "  F !  F "   H " – © ( $   w " 4 ! " )6a)W6( S &6aa…d© t  ( ( ©  © V  " F ( " F ( © F ( " ( R u&€h€'6j)'9‡@A6ˆ6@2  g  " ( © %P6…Ga( w $ S &&bb‰@G6˜679xs S #ghW)C@†@C6ƒ1B H H  $ © V © ( $  F F (   w n " © y " H  V © q " "  t © " F ( g  h'&'6s6a…Aƒ6#h`s S #"  ( ( ©  F (  "  w n " F ( "  6b)' S  &a$ S r " ( © ( $ #6…Gaf4 S 6@© S #a@u&&9Tg6h9Âs S P6( " ( H â  " $ H © H H  " F (   w n " " F $ "   $ " t y #ha#†p%&6)#au@Gv#W&6)†h)Y6h1TP)QG! S ˆ&'&aƒ©  ( ! " $ H © ( " V  "  q " " F ( B g ( " t " H  $ ( $  © V 63'€f" S gGP9…A63#WV S a”&6@Gb4 S H ©  F ! © " ( © F ( $ " $ $ ©  ( © ( w ( s6sH S  " – H  V  PAs&'W&a$ o g "  " $  gP)Q6)aj'‘v#&&#ˆ'6’T#&6)" S ”6v& © ( "  H ! " F ( $ "  n (    © '&'€V    © V '&'€ƒ3‘p‡ ‰ € ˜  V (  © V r © V ( F (  "  w ƒ6˜€“#€s“6#h1& S PhA|&'t n "  y  r g $ ( " d#6)QG! S & t " H V © ( $  F " H  $ G6&'Y&'&aWâ rH s'6'@" S @f6)'9caPW67l9Âs S PcQ&&' S &'W@'D" 2 ( $  © V H ©  © " " F " $ © ! F (   w n " "  H y " H  V © q e g  "  H "  "  $ @'d%#†&#Q#h&6@G@'b6( R bWaf6•#'@AGb6& S P6'&&90  ( © ( " F " V $ ( $ " © F ! " n " H H  ( F sˆ8 S 67%G@3a2 R 7&Ga‘&)Q&6@#6ddh7'6)W&6s6a@' F ( y  © ( F  © ( $ r H "   ( © H " $  $  F ( " V   ( ( © " F ( 2 ( r " ( © ( $ )6W6“@#6@Gac4 S 2  $ " ( q › g   (  ( ©  F (   w n R ”a#67dch'&'&6&6a…A“679xs S #" " F ( " 6ƒWV S a9&&9˜uv`s#&&'W&aW2 R v#6…Gaˆ4 S ™@'h)‚6( $ $ © H H  " y r ( !  H  V  $ y r " ( © ( $  © H  q " € " t †ƒH S #fy …¥ …  ! ˆ $ " H  V © q " " F ( #&'W@'Dƒ6u`‚##6( S &6aa@© B g $ " t  ( (  " Pa$ S   ( ( ©  " ( © " ! R ‚'&&6s6a@Aƒ6@#6)h6( F (  "  w 6#h`s S #|67l9Âs S PfusCh@h@â n " y F (   w n " y  „ q © y $ F D! S " S ''G#6g&6)! S a#xˆG@6&'ƒv•#6DQD! S t R Da$ $ y n  F ! " (  ( ( $ ! w V © ( $  F r € g $ ( " ( " § ‚  &  # ! x Đu h  Đ)" Ôyw rq u s vytâÊw 2Ôp e f Êe ă | ¨ „ x © " F ( " ( "  6C6#€6( c $ ‘64 S )6y —Y! H%&€V ( " – • d y  ©  H " )'F " u  &' $ "  " ( © ( $ #&#6@Gat6…a'Gam&#Q)C&&90  ( © H $ © (  H "  "  H H     © V   " $ "  w "  ©  '&'€h'&76)a#6hxa)G@h’'&a$ S    © V © " F ( " F y " ( © H " " $ H H  " $ © y "  " '@€˜T)6)'9%P)6…lY#aU&&9YfpP)Q#Pfœ  " H H © ! $  P&&P9&&6) ÔR  ( ! S Š a o j £p q x     U &6@#As6v#Y'€&6s6a@'9Q…†9'6ˆ)Q&  ( © ! – ( "    ©  ( ( ©  "  t © " F ( "  $ H ©   " `  © ( © ( $ " F ( " R 9#" S g'#f@@aAfa@G6Ca$ S $ "  ( "   $ " v  H  R C#&6a)†6##&&&6( S y $  ( © F ( y #&…A6Q" S l S n  Q F d4 q V F 8R F d4 g V P4 q F B f cG7£pcTdSH7£q pvQ£‹I!W4 0 448 y " ! #G'&‡€g © ( $  e  " #'&aa@‘6DAs6v#ˆ6‡9P'a$  $ $ © $ " – ( "   " F ( $ F c  " H H â ! #&@Pf6D' ÔR  ( ! S    © '&'€V g  © V  " F ( %@€hg6™&ƒ" S hg†uˆ'©  H ©  © " t d  d y  © V  " F (  H © ! „ ! d|&€6˜&" S  c $ e'64 S )6y ( " ¡    x © U V  q © V " F ( &h@€36‘'6d)6@P6@AY" S 6‡&6( © F ( " ( © " y d H ©  © (  V S    © V " F '&'€b6( R W&6…P&'cdP)G@AG@6d&&'h)•#" S  2  ( © !  H   € g "  H © ( ( (  t  F q " $ H ©  H F ( " ( ( © H " F ( y " 'T313)6a@c'6v6( S &6a( t  ( $ – " F ( " H  F 6'Y6ˆ&tm|&6@G(  g 2 ( ©    © V " V " " F ( " '&'€c6W#66b'')b)'6a4 –R – "  " F ( S $ "  r ( F ( t R W#†h`m6†˜2 R &6) –R  ( ! S  ‰ © (  ’6v&m&@€ˆ6&  © V  $ ( „ &  ( ( H  $ © ( $   $ " 4 R ‚'&6as&'a’’6YhA†a)6a#! " 6( S &6a( t  w ( a@© R ”&6s6a@''69@'6…P&#†gH S 'ac1#'&6) ÔR 2  ( ( â  " F ( ( © F ( © " H ! " t  F $ ( B g $  ( ! S w ©  ( " "    a@'%7)6)Esc'&a$ S ˆ    @pX©† " u    © '&'€V R b#†h`Y`˜r R aa#c)6a4 –R $ "  r ( (  $ $ © H ! " F ( S i j Êf e    x Đed Ă g T C f#'&#†ƒVG9W6( c ˜ $ 2H " t d F ! F „ & 6( S &6aa@© R g&€T6( " t  ( (  © V  " F &6&6a…AC6( R c)'&6v#hC'6Y6(  (  ( ©  " F " –  ( "   " F ( €e" S @‘9'€c…A6(  d H ©  © $  © V ( © F g " '@G4 © © y " GC&6)WV S W€6cA†a#6a)‚&6&6a…AW‘6)'9TaPT6( © !  " © ( $   $ " 4 !  (  ( ©  © " " F " $ © ! " F Q&'W)U|&6) ÔR  y " H  V â q " e g  ( ! S " F 6( y " $  a†64 S ‘&'6Y@'’g  $  F ( e R Hd 40 0 4321 &  # ! u ~ t }  © &  # ! u ~ t }  XXâ ( p ¢ ¡b¡ '„  %)( 9£S| '7y  Ž ¢ @pp (  a¡ '„  %$" 9£S'|  ˆ   … t  ( ( © " F $  ( ( © " F ( }| x … " 'Ut P£t 6( S &6aa…W'6( R ‘&6s6a@' ‡ '6˜6( g ¢ c Ž ¢ vvf ¡   U x   &6&6aAG#W63 â Ă9ÊS'|  (  ( ©  F ! © " (  x¡    u ~ t } F (   " ( ©  ! $ $ © $ 6&9“P6…#vaac'&6&6a…AC6g9&6)' –R  (  ( ©  " F ( $  ( ! S " 6( S &6aa@© R W&€'6W&3#" S @ R )a't S Tf†’iD|p t  ( (  © V  " F (  $ H © ( " $ $ © " t f ( " V   V " F ( &'&W36'6ua#&QA" S @C6Y6D' ÔR â F ( $ $ " H y d H ©  © (  ( ! S V S &6@P&&''vs6@&W79D¢ —˜! d  ( © !  H   © y rH © H  V  i g – • w  " F ( @b6‘&3" S @  H © &€Ca'9•#6( S 6aa…f632 R  © V  " $ F $ " t  ( ( © " F ( w ( © r © "  $  H F  " a7@)QT#'ADd6D' ÔR "   ( ! S w " $ "  "  " (  r ! " " F ( "  $ "  h#a#6h#6h#6ha)')Y'6DQ…#&6)" S ”6…a'Ga‚&C$ S n  ( © H $ © (  H H  ( © F ( $ &&9@'6'&6)' –R  ( ! S g $ #&6)' –R  ( ! S w  © €V "  g u|6D' ÔR  ( ! S $  &d6a'Gaha)" S  ( © H $ © ( r r a)" S ƒW6@a'@Ga‘iP'6)#E…@'Tƒ'&76)a#6h)hGC& n © " ( © H $ © ( " 0 F $ ( ! "  © (   " $ "  "  $ g    © V   " $ "  w "    h'&'€m'&76)a#6h1aDGm'&hA†a)6a#”6sm6t#6@AW#!  $ " 4 ! $ ( (  " ©  V r ! ©     " D6h‚&6)† S h#hh…6hi&6) –R $ $ "      ( ! S  " Pa$ S g   " $ "  "  ( '&76)a#6hc)G@9'  p‡ $  ( &cs R  fg  g D  d â U c ¡    x  ’“¢ „ d © U y#6|y  d ‘„ d R |y „ & R ’&@€Y'6‚ c " F (   © V  " F ( ¡    x  d $ H ©  ( r © R  … ” “  Œ ‰ ‡  " H H ©  d‰A@© „ f)" S W31˜vf2 uR ‡ Ž   )D” ' ”  ˆP&&P! c  ( !    © V ˜ … ” “  Œ ƒ S ‰    x  U †&6)' –R '@€™€  Ž   )D” '” ” a „g † $ & ˜ $ #&6) –R  ( ! S o t ©i p r 'Ut P£t }| x … c y " $ " 5 a9DQ&|p g d Ar@A6da#&•'9" S @€@Gv#‡#€U)'@Gca'9d'6s6a…A © F ( $ $ " H ( H ©  ©  © ( ! r © V $ " © " $ F $  ( ( © " F — g f '3‡y&#" S ‘6‚6s9’@6)Q…“#€#'G‘a'9C&6(  $ H ©  " F ( F (  © H "  r © V $ " © " $ F $  w ( © s6a…A ( " $ " F ( $   c y rHH â ( " $ $ qv&&@l6v#aad› R T)a‘'6C&vf ©   U ¡  x ă | ă x h Ê Ă9ÊS'| Ư ved ¡  U c Ž ¢   o x ©  g  x¡    u ~ t } $ " – ( "  R C6)As6v#hl § § § ˜  H H &9…&&2 R „ & " y $ Q#'6D' ÔR  ( ! S Ư (  £  ©iCC)£t s ¡ u x … „ v ~ ( 0 s #&6@#6C67‘#& H1  ©)©©( ¥  ( £  tŽ u $  ( © H " " F ( y $ s u s $ &6@#6k#6ha)')”'6(  ( © H "  " (  r ! " " F g "  " $ " F ( P)6)a”'6q2 F Pfr R )#†a’6W&6@G@'f8 S '#˜QPA{P'˜u  ! "  $ ( $  ( © ( F " "  © F " 2.4 Storing Encrypted Data y 2.3 Mapping Functions 2.2 Identification Functions ¢ y …X £( ˆ  &6s6(  (  " #'&6s6a@'d†f#€%#6( S 6aa…Iv#6DE&f„  ( ( ©  " t r © V $ " t  ( ( â ( " "  Ư (   X  à ( @X Ô( XpÂĂ ( @Xp  ( py‚¡ ( @XX¢ ( pp¡ ( @XC (  … ˆ      ˆ     ¢ ˆ      ˆ   Ž }| x … t¡ ~ | u| u  Ơ 'Êt Ê'vp'w'wCSƯx   Xp¢¡ y …XX  ˆ   ( XX‚¡   ¢ y …Xy¢ ˆ   ( X ¢ ¡  ˜ $  ( © F — #&c@A3g @pX£† ˆ    ( XC¡    y @pp ˆ   ( … ˜   $ ¡&6s6a@'  ( ( ©  A@© ( 6v& ‡ g " $ © ! " V aPc)W6@2 R 6@2 R )&aP9& " F ( 4 "  $ â " $   $ $ " !  r y'&aa##v6h€a)" S 63I&#b© ¡ 6…a'Ga'6f#&a#a@P! n " F ( $ © H H " $  ( © H $ © ( " F ( " !  $ $ " $ © ( " F ( 31u'6i##`)†m6@6v#6)Esh™u " " ( " t " ( ©  ( " "   " g $ " ##6( S &6aa@© t  ( (   " $ " 76)a)6 waDGf'&7Q7&‚&6s'#™6@aGak6da@P! "    H   $  (  ! " ( © H $ © ( ( " $ © V  hAG’'6( © " F &  " PA)h – "    © V '&'€t'6( " F " a$ S $ r © 0H © hP3s{#! © " ( © F m…A6( " ( 62  € g § " (  Ư "64@â9$64D"As6(v#"T"a$2F90'y @py   $ &6s6a@'t3`QPAF  ( ( ©  ( "  â Đ " (  Ư    ‚ s }| '£t c ‚ &„ s & ( pp¡    '© @XC ˆ   y ¢ ed  '£'¡ & "!U }| t   x s„ & c &6@Gv#a)6#6€" S ƒ6( S &6aa…g6(  ( © ( " $ "  " H ©  " t  ( ( â " F s & y  ed  „ '¡ &  QC &  x $ R c P'7f#'fUg & " " ! r "!U   x c  " H H © ! $  P&@P9&“&6) –R  ( ! S    © V " F ( r '&'€6˜vt c y h g &6) –R  ( ! S   A@“'&6)#&#ag@© © $  ( ! " H " $ $ r a)" S g'&)#†a˜6…a'Ga”6( n ! –  ! "  $ " ( © H $ © ( F D! S $ ¡ $ '&6@G)†t˜'6shA)!  ( © "   $  (  2 F r …j7 S ƒ3™&6)#a‡&'6u1B ( $ "  ( ! " $ $  F ( $ ©  " YP'')&'G•)6'@U@A6bWV S avW)W@c€ – "  " H t © ( " F ( © ( © F ( " $ $ © y " H  V © q " © $ g $ ##" S 6( S &6aa…© H ©  " t  ( ( ¥ ¥ £ £ £ £ 0 ¥ ( 0 Ơ u âÊ)( s & s $ ( s & s $ )©©£( s & s $ ( s & s $ B q r4 @ q ©!csC©©q q  X  ¢ Ž '£t }| " !  #'&a$ ( 0 t x v u Êââ( W9ywÊt sƠ $ ( W9yw£t £s 's $ t€ x v u ˜ $ # " – ( "  R TDAs6v# c © V " F ! $ H © " " " F ( y " ( © H © " H ! " t H H  ( $ R u€#Da@G)')h'6cP)6@”…P&#h†&9˜s˜c€ ¢ 6)A#'&6)))aA#'&X&h8 " ¡ g ! ( " y $  ( ! " H " $ y $  Ô y g g $ ( © "  H © 66…G)†UA&6@#6‚a@Gas'6…jvuP6…#6#&'G‘&6&H S  ( © H " r © ( t © r t  " ( © H " $ " H t © ( " H   ( V R $ ( $  $ 6&a'#d&aa#6hD’aD" S ‰g#'&aa#6hh)‚a)" S duP&'@© !  $ $ "  q " r n € g $  $ $ "  q " r n  "  H   Ž x … PUt v¢ s P£'¡ @†@b&'W@© x … t © y "  t â "H  V 5 s $ Ă #&@'3T|6…Gv#a#6)6”#6ha)')" © y $ ( © F — g 2 ( © ( " $ "  "  " (  r ! " t $ H © r © V ( © "  †fa@‡#€U@6@G)†i'3pg © " F — w h S q   hA†a#6a#b6sˆ6ƒ&6@Gv#a)6#6WP6ha)#f63'@€V  $ " 4 ! $ ( (  ( © ( " $ "  "  " (  r ! " " F ( $  © ( © F ( …A66…G)†Ua6)Q7&u6s'')33@|&6…G7)a#6#6P6haD! © ( © "  " $ "   $ ( " – "  " y 2 ( © ( " $ "  "  " (  r w " $ ( )‚6sq6( b ¥ ( © "  " F ( ¨@6@G)†u'6)Q& "  &6@#6fh€h@'6(  ( © H " © $  © V ( © F g s P£t x … ( 0 s¥ & " H t © ( " F ( $  &'@GY'6& PÊ'Ă Đ&'W@'DQ6`D s1 & Êâââ( x t Ơ y "H  V © q " "  t © " F ( B g ( £ s & ( W9ywâ'Ă s $ &uH$ Ă Ư6#6QD 2& âÊ)â( ¥ & ©£ '¡ $ &6…l)64 ( 0 ( & $   Ơ  ( â H " y  ( © H " t€ x v u t #Q&†#&c@'3b%&6@Gv#a#6h#6ƒ#6ha)')6sW6R&6…l)6Y© "   y $  ( © F — g  ( © ( " $ "  "  " (  r ! " $ ( ( $  ( © H "  â V (  e (  r ! €€6`6haD'dX › … „ € Ceƒi ‚ y t …  ~ S‹Ut ( " "   v#6)Esh3@2 R " F ( 6m1qg B  X  à e Ơ ĂX &6@G@'T'6a$ S  ( © ( " F ( " " F ( '6T2 R $ &6) –R  ( ! S $ '&6) ÔR  ( ! S  X k" S @ƒ'6˜66gUy H ©  " F ( " ( $ "  " y H © " " †‚G)#”1B }| '`}  A@by © }| '£t " y "  t © " H t © QQ…†&'@G( e ¢ ™)'s67)g6( X " – ( "   " F " F '6( " – ( "   " F R ‘)As6v#hl€6( (  " – ( "   $  6uP's67)ˆ&k&6&6a…Aˆ&6(  (  ( ©  $  F $  &g&6&6a…A‘'&'†a#6a@#36sƒ'h  (  ( ©     $ " 4 ! $ (  © y " 6( S &6aa@T@2 R t  ( ( © „ } } ``S    © V " F — g $ " '@€ˆ'3€#)6( S &6aa…© t  ( (    © V ( " "   " '&'€•v#6)Esca$ S   " " r H  V "  g#Q…&W#m'#)a“'6W@2 R ! " $ " F ( " ( $ " y rH © H  V  i g " H 6@6˜Ivs6@&W7’&' S ‡&'6‘2 R ( $  F ( $ © je ( S †@T&6@€6@2 R &d'6%G! S @##)hA&•As##†au6p( S †bG…' t ©  ( © V  " F ( $ © F $ y $ " !    ! – ! "  $ " F ( t © © ( © © ( " V " F ( $ " ( $ ( "  H ! " F ( y " H  F © " y g $ G)WW6‡#6@6Yv#&&#W6•&97@Pgh#&6) –R  ( ! S s„ 9#'&6@#6ƒ#6ha)')" $ y $ 2 ( ©H "  " (  r ! ( $ 'W@d66…G)†7'&6@#64 R psH S #6d'6|Y&6@#6fP6haD! V © $ ( © "  H ©  ( © H " ( $ " " F ( 2  ( © H "  " (  r w " )t© c „ & 6D#hk&dP'')Y€  ( ! " i   " – "  $ w q " " F ( 7)‡'6”`C‘$ B g Ž „ '¡ &  QC &  x y ¢ ed & w " 4 ! " F — )6a)u'3™a'G…'d6&P66ta&@j@b˜¢ g " $ © t © ( ©  " F (   " ( $ $ H â $ â Sâ Ơ  " (  r ! P6hha)'# S s#'6b6A¢ )©©( W9yw©t s $ ( W9X©t s $ ¡ 6ha)#hA@© " 4 " F ( ( 0 t € x v u $ (  r ! "   t€ x v u Ê 0 ( 0  âÊâ( s¥ & s¥ $ ( £ s & sƠ $ â)âÊ( sƠ & Ês $ ( Ê s & £s $ ¡ #" S @Y)'&c6g@2 $ H ©  q "   " F (  „ $ (  "H   © $ © ( © "  2 (  r ! "  " F ( " F $   ( $ (  '&6ap&@y s 26CP&&'u&@6@G)†&6ha))U'6#'q V " W6( S &6aa…€'3”#&6@GD†2 t  ( ( © " F — g $  ( © "  (  "   â V $ 6#'c&  Ê'Ă & "!U }| t   x  p  ¢ y ¢ " F ( "   $ '69)a#'#'@G'& ! y " ! © ( $ " S @’6s9T&Gv#‡…A6j6s6a…AT$ s H ©  F ( $  © ( ! ( © F (  ( ( ©    x GU $  © '€V s„ & c EŽ $ ©  " @˜#'AD‡'&'€33#&6@GD†2 – "  $     © V " F — g $  ( © "  " F ( " 6ca$ S &9c3qP&#†ƒ&aa$ S a&hf6ˆ`B H H  " 0 H " t  $ ! $   " F ( ¦ g " H t © ( " F ( Gf6g&gP6&&96)As6v#C6C6@G)#Y6ƒPWV S $   " ( $  H $ " – ( "   " F ( " ( © " " (  " w $ © " © r " F ( h6…m)'6Y( S 3|9P'a€@'”6@€)6( S &6aa…© t y F $ ( " © $ " t  ( ( y " F ( r t  " v  " 6€7˜P#&6)6( # 6…Gv#a#6)6ƒhlaxa)6)aY6sh6(  ( © ( " $ "  " "   $ w "  " $ $ (    © V " F ( y $ " &''@€˜6d##6( S 6aa…© t  ( ( &6@a'@Ga9&3—  ( © H $ © ( $  F g |6…Gv#a#6)6•hlaxa)6)ad'6pDQ…p'&6&hA#&A†a#6a)!  ( © ( " $ "  " "   $ w "  " $ " F ( "  $  (   !    $ " 4 2 ( ¢ $  6'&`Ô c g $ " !    " F #)#&A&6( (  r ! "  H H  haD#v&&9A ăă WX $ " )6( S &6aaU6C&Gv#v&&9u&'G9'&hAa)6a#u6PD s ÊWĂ â t  ( ( © " F (  © ( ! H H  " H t © (    $ " 4 ! " F ( y x … t u " 6( S W#€66…G)†2  V ! ( ( © "  © " F (  6€&a$ S &6@#64 s †£u 6fhaD!  ( © H " x … t " F ( (  r w  )"hq6u6@™0 R „g u s `} s S© … ( s '| … ( WƯyât s Sâ ( s '`} ( " © " B }| „ } t€ x v u „ }| s P…£t ( s „``S ( s CS7e U( s S‹£t ( s '£t ( W9X©t s †£t )#6( S &6a( t  x } } … „ € ‚ t …  ~ }| t€ x v u x … s $ " w ( a@©Y'F6‚@Gv#•&90 s PUu &6…l)6˜'&6sH S )6Y'3Y##6( S &6a( " ( © ( ! H H   ( © H "  ( $ " " F — g $ " t  x … t s '|`} 4s#F6( 2 s S© … '© s PUt #&'Gt#)3`D†ƒ&#© w ( a@©  "  $ " H t © ( " " ( " t  Ô } x … "6( S W#!”6(€64)"3W3Wa†' S ‚D¢ s '`} ( s '| … ( W9X©'¡  V 2 " " " $  i g }| } t € x v u t s S© … „  ( © ( " $ "  "  " (  r ! "    „ S© ˆ¡ &6…G7)a#6#6hP6ha)#“hA†a$ … ¥ }| '`} ( '| ˆ¡ } … " H t © ( © " t H H  &'@G˜€†&&9c¢ € &'&a$ g " H t  c „&6) ¤R &''@€U6p@'u@u)'6D'90  ( !    © V " F ( ( 4 " F ( " F S  ‘'6‘G&'9u)@'& X " F ( F !  F "  8   "  " „ g  " &A)†#CIEP'')d&•6…G)†e – "  $  ( © "   g " 6( S &6aa@c&'6( t  ( ( © $  F 2  ( ! R 6D' ÔR S Ž hs '£t }| ¢ x … PUt ˜ "  © F " y "  t © " H t © …'3hQ…†T&G( e g @'€Ad " F ( ( '6h6’d ¢ ¡   x ed ©gHC ˜ $ H H #9…&&2 R &6)#&#au&‡#a&6@d&6&hA#“uG! S ƒ9!W!Hwu©!csC©©q  ( ! " H " $  $ " $  ©  (   ! © F i F B x g v t B q r @ q a p b D i h F D B D F I H F D B A f d U QÊCÊCYGX@WĐQ5eƯGE`3geC9 a I H F D B D F D B A U b ``5@@(§E@WGE!cG`7 a D B F D B D F U D D I F V U I T I R F I H F D B A `E`YGX@WGE&GÔÊÊSĐQP@Ô&GECĂ@86 g |6a'Ga'66@Ga$ S &&  ( â H $ © ( " F ( " ( © ( H H ( $ " H t © (  H H 6U#&GY9P&&2 R § g "  S #'& ‰ @2 R '6…G)†˜P3P&&€ H ! $  ( © "   " H H n ( ’ (H45(  ( Ž x g Œ ¢ ¦&6s'¡ 3¡ e¦&6s  (  2 g ¢ 2 ( wh2¡h1&6sA2¡ ¡ gY¢96shA”0&6s'¡ ¡ (  (  ¡ )  (  % (6shA¡ $  (  Œ " X6( S &6aa3€  6( S &6aa3€ &&6sA¡ $ t  ( ( t  ( ( %  (  x " Œ H ' x " X" S © & 6( S &6aa3€ &&6sA¡ $ t  ( ( %  (  ˜ $ " #)H S b@€W@G€'&9P&2 R 4 © V V © 8  H H w ! © © F ! $ )@G@'D&6sA#”a)" S ‡)a'#YjPPDQ6)aY6”v‚P6( S !  (  ! r n "   $ ! "  g "  " $ " F ( r t  " s # w " q " DDd#'6Y&™G9dy " F ( $  F !  F " !  i )'&h3g @XC ˆ   r a)" S ‘#Q&b36…a'Ga96T&6@€6@2 R &|6I##&&&6( S v#&&#U'3— n "   © " ( © H $ © ( (  ( © V  $  F ( $ " v  H  ( "  H ! " F ( … }| 'Ut ( $ – " F ( 6‡6“   ( ( ©  " F R h'&'6s6a…Aƒ'6( g ! ( " y $ 6DU#&6) –R  ( ! S s †£bu x … t s †£W¡ £#&|@'3— x … t u © y $ ( © F (   6˜'&hA†a)6a#c'WV S #ha@&&hq S ‘'6”6hhA@©  $ " 4 ! $ H ! r ©  H  © " F (    $ WV S #P6ha)#u'6( R H !  " (  r ! " " F c ¢ `} S© … ( '… ( '`} †£t ( ``e ( pS7e x( S‹£t ( '£'¡ }| „ }| }| x … „ } } … „ € ‚ t …  ~ }| t " F ( y " ! 6)'G&@'e © ( $   „ '¡ &   C & x " " F  d 6)9UCr" S @˜u&Gv)’#€T…A6'6s6a…A H ©  ©  © ( ! r © V ( © F ( $  ( ( © r ©  $ "  R dv@k&ˆ)&H ! " F ! "  g q " H  V ! " H ( ( H â $  G#DCjƠE)&'W)6as&Yc&&6@aGaC'3u'ă  ( â H $ © ( " F — ˜ V  © c &  U  x ( … '6‚a)hhlj#vP&'W#‘@m#'&a$ © F ( $ $ " H $   " " r H  V " H H â " !  y    ˜  " ( © H $ EP6@a'@Gabg&6sA#ƒ'&9P&2 R © ( $   (  !  H H ¢  x ed ¡ go  C ˜ $  #g&6@a'@GaC'67vs&€V  ( © H $ © ( " F ( y rH H ©  Cd  w e g a@'Ad " F '6(  à ed â  C x ˜  © %G…ba@2 R $ w ( F  © ( $ $  av&@Gap&T&6@a'@Gau'6…a#|&'6C1%'&76)a#6hpDGr  ( © H $ © ( " F ( y " $ © ! $  F ( B ˜   " $ "  "  w $  " © $ †36@•&6@a'@GaIv#6)Es“A@Gu'&76)a#6xa)hGu&  ( © H $ © ( ( " "   y V  © 4   " $ "  w "  $ " 6( S 6aa…6( R GU t  ( ( © " F   x † S w "   " aDG‚P'')gW…'T$ S – "  H H " © "  © F ( &6)#&#ad&Y)a6…™&6s'#”dG! S ˜‹AW!Hv  ( ! " H " $  $ " $  ©  (  ! © F i F B x g MAPPING CONDITIONS  $  " H &f&' S ( " S †&W)C@'#h‘#Q…& H ©  y " H  V © q " e g $   " " r H w V " " F ( ˆ#‡'6hg)'&Y'6W6ChA†a)6a#”WV S #hA)#aY3— q "   " F ( ( $   $ " 4 ! H !  ! " $ " F    © '&'€V g $ " H ##& S f6bha)')" ( " F ( (  r !  " F ( r t  "  V " ( "  $ " !    " &)'6uvuPW6D6)Y##&'ƒ6( S &6aa@˜'6™6&9h'&##&' t  ( ( © " F ( F (  H © y $ " H (  " 6™Pa$ S w S WP6ha)#f63#66Cha9)Q6)a'6h|&6…l)6˜GPb@'e (  " (  r ! " " F ( $ " ( $ "   $ "  " $ " F ( y  ( © H " F ! © " g  " ( © H $ EP6@aGaC6@c#)6aƒaD" S n © ( " © $ " " ( r 2.5 Decryption Functions " t †mP&6)" © ! y g ! ( … ˆ i › „ Cby …Us… ˆ  † F $ – H x aAbP&9y )&… ˆ † † i ă hC3y Ds i $ © F f@hD! S " S ''G#69)'&#gGv&'˜vc|&aa$ S a&f4 S ”& $ n  F ! " ( " F   ! ! H t r € g  $ ! $   2 F  …˜'|6…Gv#W#&'W& © y  ( © ( " V " H  V P'F "   $ w "  " $ " F ( "   " ( © H $ axa)Q6)a6f)Q…”P6…laGa6@C66@GD†u'&6@#64 © ( " © $ ( © "  H ©  ( © H " ¢ ~ | qP2†tˆ5G!©H't‡b˜&6) –R 6hha)'#'63…P6a9uvD¢  £( 'S © $ ©  ( !  (  r ! " " F ( ( © " ( "  g c S c ( X  ¢ ©u UC)£t 6© S #“a#7g 7£hpXpXXpXpX£† €6( n " e g g  ¡ x … „ v ~ ( H †  † † †           X  y¢ ( W9U c ( £ " ( C Ă(  âu UC)Êt t x  Ă x v ~ ( ÔX ( CS   … „ P'F $ a$ S a&h6‚hP6ˆ†3&&9€I%#6@a'@Ga€6…Y&6s'#! ! $   ( r  © " " t H H  " y  " ( © H $ © ( " © $  (   " (  r ! " $   P6ha)#&WA##ac'3•D¢ ! " $ " F — g g  " $ %Paa$ S a&c6@f6…G)†ƒAT6( S &6aa@T˜A66WV ! $   ( " © ( © "   © " t  ( ( © " © F ( " "  H   ( © F ( $ Q&Q7&@A6c'6shAg  (  ¡ ( © "   @6@G)†˜'© $ ©    © V " V © $ " F ( $ H H W&''@€TW6T'6C9P&&2 R  ‘'&'€CW@6C'6c9P&2 R $ ©    © V " V © $ " F ( $ H H g …‡ … ˆ n ’ ( © "  e6…G)†fr &g' S R   " t †“@P! © &aa$ S ah&'3T%&6@G@'T6Wf#6s S P6h&6@a'@GaC)#6a@#!  $ ! $   $  F — g  ( © ( " V $ " n "  ( © H $ © ( ( ! " 4 2 $ " H " F ( F ( r © !  ( " V V r $ ©   ( © H $ © ( " F (  © R 9#&6f6˜6s9€P3c&6a)WWh‡“&“&6…laGaf6‘h“#! " y   " $ "  "  $ Q76)a)63DGU& ¦ Đ Ư xĂ Ô  x Đ7 `ƠGU c n „ & B ˜   " $ "  "  $ R u&h6Da#6)G@& s  &  â 9ÊS'| x¡  u ~ t }  " F (  &)'6m'g6@'W€@'”6…W#&6)" S kP6@#'”#&amPQ © !  ( 2 V ( " © $ "  n  " ( © " " !  $  "  H w  " V $  ( " V ( © " ( h&6Wc9v#W6…P6a3¢ ~ | u| } ~ C'ˆ`‹p 3¡ & "!U   x Ž s„ & y ¢ Y&  £   x GU c $ A 9 Bh@1  „ „ 86h„5# 7#•#4 ¡  $„ '¡ &  !U &  x c R h&6@a'@G|— 2  ( © H $ © ˜ $ H H #9P&&2 R c $ @© $     © V " F ( y rH H © ! – ! "  i g &€'&'€Y6|vs&#As##†7W%&6sA#g&6)G@Y'6‚r R &6…6$  (  !  "  " F ( $  ( â &  QC  x 0Ă Â Ap'w'`‹C  ~ | u| } ~ &  QC  x 0¡ ¢ Ap'w'`‹C  ~ | u| } ~ c † ~  | u | } ~ ‰g¢ up'w'`‹C y ƒ¢  ~ | u| } ~ ACwˆ`€C Q1 0¡ &  QC  x c † ~  | u | } ~ up'w'`‹C 0¡ ( © F …A6( &  QC  x c $  ( ( ©  " F ( H H ©  ( "    $  (  ( ©  " F  Y& R '6s6aAb'6h&Yr R 6v#Y'â & R '&6&6aAb6( Ô  U c $ x H H © &( S U&&cbaPCWG! S Y`uh'&76)a#6U)hG• ( $  H " " $ © ! © F $ B ˜   " $ "  "  $ &6@a'@Gaf'6r R ##aCjƠhAG9@2  ( â H $ © ( " F (  ! "  $ "  g V  © 4 g |64 S ˜gD@Pc2 R (  F ! © "  Y&   " $ "  "  " '&76)a#6)hG6â  H D F d q f F &ĐH7Ê7c!Gd s Sâ s Sâ s S© „ s S© „ s S© „ s S© „ … … … … … I B F d4 q4 f F H PTG7£7!cGd H Ž s '`} † }| †Ž s `} }| Ž s `} ¢ }| Ž s `} ¢ }|  Ž s `} }| Ž s `} }| ) s †£'¡ x … t s †£'¡ x … t s †£'¡ x … t s †£'¡ x … t s †£'¡ x … t s †£'¡ x … t …   '`} PUt }| x … ˜ ¥ c c c 0¡ „ & $ " #6( S &6aa@Y'6( t  ( ( © " F c $ '&6&hA#˜&6@a'@Gah&C@$ S  (   !  ( © H $ © (  $ © ( Ž s '`} }| Ž s '`} }| Ž s '`} }| Ž s '`} }|  '© s S© „ s S© „ s S© „ s S© „ … † …  … ¢ …  }| '`} †£t x … 3g $  ( ! R T'&6) ÔR S &6s'#6(  (  ! " F  „ & h6shA)‘6( $   (  ! " F  & Ž s '`} }| Ž s '`} }| Ž s '`} }| Ž s '`} }|  q s PU'¡ x … t s P£'¡ x … t s P£'¡ x … t s P£'¡ x … t Ž '`} †£t }| x … $ " #6( S &6aa@ƒ31( t  ( ( © D B q r4 @ q 9â!ƠsCâ)q q ) ) ) Ê 0 2 (  !  1&6&hA#W'&9P&H ˜ £ }| „ '`} S© … " F ( (  " ( © H $ 6ˆ6”#6@a'@Ga& © ( $ }| „ '`} S© … p f &6sA#”#3—  (  ! " F $  ( ! R C'&6)' –R S &6@P's6(  ( © ! – (jj & j $£Uo '£j f  (j & j $£j f '£j e  (j & jj $£j e '£‰{  ( j j {& $£‰‘'j % • ˆ ˆ ˜ y’ h d w©“  o e &„  # ! '& §)"  p „r  Ž „ & g Y&  „ & &6sA#C6gr R &6…6$  (  ! " F ( $  ( © $ H ©  " V $ "     r © V $  (  ( © R d#" S @bWab7@6h‡P€•'&6&6a…A R ˜ $ #&6s6a@'‚`Wa#6(  ( ( ©  ( " $ " F xĂ Ô  u ~ t } `"9US'| s & Ž ƒ¢ W x ( ¢ „ 'vCwˆUe x &Ă ~ | u| u Ô xĂ  u ~ t } ‹‘£ 9£S'| $ " – ( "   " F ( 2  (  R Y6)'s67)€'6u™6shA)!  Y& 4 ©  F ! © " e g  © H "  ( © F s'uGP‘'“|@l6DQ…Y…A6( Š  & ¡ ~  | u | u  i 9x (  'vp'w'wCSƯx U W x   A@â & g 7j ă "4" F ©6)90 Š ‹x $  u Ž s„ & £ ¡ y ¢  & Ž „ '¡ &  !U &  x Ž s  &  â"ÊS'| xĂ   u ~ t } " F — g " H t © ( " V © $ " F '3•&GCW6f'6( c V 64 R " t †‚#f#6( S &6aa@˜31‡6”'||&6)#&#a€’&ˆa&6…ga&’#! © ! $ " t  ( ( © ( " F (  © y  ( ! " H " $ ©  " $  © $ H © © &6&hA#9'3d&GbW6b6( R )#'@G'&31(  (   ! " F — g " H t © ( " V © $ " F $ " ! © ( $  w © ( ( " "   @Gv#6)Esƒ31( V 64 R  ‡ CQ  w "   (  "   â V " )6PC6â  ( Ư ‚ y $ " H 7##&t " t †‚@Pf)6( S &6aa…g`T'3%&H‚& © ! $ " t  ( ( © ( " F — g  Ô â V 64 R " $  © ( F  V a&6@Cv&W’&6&hA#W’G! S dâ!Ơr  (   ! â F i F B B q @ q p)©q q t D B q r4 @ q 9â!ƠsCâ)q § g c §  '© r g $  U#&' (  Ư q $ " – #6)'s6( A6bD6@P6@3f)vPW#E&#&a$ © F ( " ( © " $   " " r H  V " H H © " !  y ƒ¢ s 'Ut }| }| t '£'¡ &   U x  ‡ p  ˜  " ( © H $ %P6…a'Gab&“6shA)ƒ&9…&&2 R © ( $   (  !  H H $ F ( 6x  )„ '¡ &  QC &  x c " F ( y " ! '6h#G'&ce © ( $  „ gD¢ed ¡ l  U c ‚ s & y ¢ ed „ '¡ &  QC )A@fă $ c V  © x &  x s„ & ed „ '¡ &  !U qh'&76)a#6%)hGr $ y ¢ c ˜   " $ "  "  &  x Œ ¢ ¡   x ed ©GU c n ˜ $ H H #9P&&2 R c $ © $  &”&6@aGaC'3376)a)6c)G@&“&6)' –R  ( © H $ © ( " F — g   " $ "  "  $   ( ! S    © '@€V " F ( ( 6b@c)'6)9C6@6v#6)EsT62 R †bU'9$ S &7#6h 4 " F ( " F " ( ©  ( " "   " " " t $ € g " 2   " „ &  '© $  hA#†#h "  "    © V " F ( y r H   "  " " $ ( © "  r (  H n "  F ( R d'&'€’'6cv&a$ S &7#6##a6@GDt1&&@â S P'&6s90 &   C x  ¢ ¢ ¥ wH s2 R w "    )CA@‘&6&6a…Ad'6|9…adQ…†UGu'6…)'G&Ie ©  (  ( ©  " F ( $ F $ "  t © " H t © ( " F ( y " ! © ( $  (jj & j $£Uo '£j e  (j & $£j e 'j % • ˆ ˆ˜ X’ h w d©“  ) #! p $"!  „r  &„ '&   A@© 4 ©  F ! © " ( © F ( $  s'˜GP3@A63&˜&6s S v&f'3U#&6sA#Ca#6( R g&6) S  ( (  " F — g $  (  ! " $ " F 2  ( ! s„ & ă "4" F 36D'90 $  & xĂ ¤ u ~ t } ‘`¥ 9£S'| c $ c F ( V6Ux ă "4" F E6D'90 $  &d c A Ô 9 DƠhC1  86Œm5# 7#•# ¡ £ Ž #s  & y  &  ( " p g )|%&6)#&#au&Tj)'6s#Wa&6â  ( ! " H " $ ©   Ô â " F ( "  " $  ( F  V vWg&6sA#YgD! S &Qcdâ!ƠsCâ)q  (  ! â F $  © € F B B q r @ q H D F d4 q4 f F §H7£7c!Gd g { ) ) ) ) ) ˜ ¥ Š ‹x ¢ £ ¡   x GU  A@â s &  `Ơ"ÊS'| xĂ Ô  u ~ t } ’  & $ © " t H H     © V " F — g  " $ "  " C†p&&9‘'&'€3•%Pa6DQ#64  Y& P•@'6( © ! ( © F ˜ (  " ( © 6ƒP6@H 2 (  ! y "H  V © q " F&6sA#†&W)C@'e w $   " F ( " © ( " rH H â  e g &'6QG3ds&'&IuD W Ô$  " F ( " © Wh'6CG( 4 ©  " F ( (    $ " 4 !  (  R Cs'T'6W6W'&'a#6a@#h&6sA#!  x ( 9Ă x â "  â F " y QPA3uD W $  ( ( © $ 4 ©  H H © "   $ ! " y $  ( © F — R &6s6a@A R 6s'A&bDa'#93v#&…A3•g W x ( ¢ „ '¡ C'ˆUS¦x & ~ | u| u „  ‚ Ư Đ W s & Ê Ă y   &  „ '¡ &  QC &  x s  &  â 9ÊS| Š x¡  u ~ t } c  ‰'© GU   x v Рà  U ¦  x  x c  )„ '¡ &  QC &  x y ¢ &  $ â h6a'Ga'6YhPfuƠg Y&  ( â H $ © ( " F (  © ! "     ( ( ©  ! – ! "  $ " F (  " $ © t $  " !  F ! R Y'&&6s6a@AAs##†a'6€€Pa'b&f#&D34 S Ô  x ƠGU $  F ( &6h1fh'&76)a#6h)G@6@â B ˜   " $ "  "  "  ă 6| ă âgHC â xĂ   x  '©    © V " F ( ( '&'€”6ƒ@'˜ƒ)6)'9f† S 4 " F ( " F c‰g¢ up'w'`‹C ¡ &  QC c ) † ~  | u | } ~  x  ~ | u| } ~ ACwˆ`€C Q) up'w'`‹C † ~  | u | } ~ y  ( â F ( " A6WV S aT$ S $ $ © ˜ $ H H #9P&2 R g D  $ â @#Q&&c'&6s'#T6saW#W31C'6( R ”&6@a'@Ga'3— "   $  $  (  ! " ( $  V ! ( " F 2  ( © H $ © ( " F F B F d4 q4 f F TG7Ê7!cGd  Ơ g  " $ "  " $ " %Pa6)#6b#6( S 6aa…'6( R c#&6C'6ƒ6s9CQ…†“P†&6)a) t  ( ( © " F $ " H " F ( F ( "  t ©  " t  ! $ "  $ @©hy Qbui)Bpww5&    © V " F ( $ © " V © $ $   † t v G | „ u u  t v G| „ u pu )BCdu & R ‘'@€f'6b@CW69&Y&' w  ©€V &   C c " F (  t v G | „ u ˜'6#y Cbu Cdu & Qbi)Bpww5& &6&hA#p@'e  (   ! x † t u v G | „ u u  '`} †£t r R &6@69…A6( g '`} S© … $  ( © $ ( © F }| „ }| x … $ #" S H R C$6s©'Y7…6h#! '`} Sâ 6( S &6aa@2 R @XX ( ppĂ â 4  "     © " t  ( ( © }| „ ˆ      &6s6(a@©'‘A@© }'|`} †£t 6( S &6aa@U2 R …Xp ( X©¡ &6s6a@'b#'&a$  (  t  ( ( ©  ( ( ©  " !  x … " ˆ     † s `} s Sâ  s `} s †£t &6s'¡  (  }| „ }| x … ¥ y  " EP S #'&Y& H !  $ g D¢ ¢ ¢ ¢ ¢ Ž s `} }| ¢ Ž s '`} }| ¢ Ž s '`} }| ¥ Ž s '`} }| ¢ Ž s '`} }| s '`} }|  Ơ }| „ '`} S© … w $ Gaf& © ( $ g $ #'6shA)a#'6( R “&6) S  (  ! " $ " F 2  ( ! "  g $ " –  ( "   4 " F u5#6)'&6v#hfs#6( „ & ă | ă W x (  'vp'w'wCSƯx ©  & ¡ ~  | u | u   W `Ơ"ÊS'| xĂ Ô  u ~ t } x U $ 4 ©  " H t  $ $  H H © "   $ ! " y $  ( © F R ƒ6s@A”&'&aa†c&ƒ)ha')“33#&€…A3— $  ( ( © R €'&6s6a@' ©b"QP©AFb"0yP4s©'ˆFG!©P"d4@2'e•g|26(shA2)!3"'F6(‡r R $&6(@©6$‘lH S 2#!d(âA6( & F  Ư Đ x  A@â n Ư Ô Ơ |&6@a'@Gaf'6b&&9&&2 R  ( © H $ © ( " F ( $   H H ˜ |&6…laGaˆ9P&H  ( © H $ © (  Ô  x ƠGU " F ( "  © F "  ˜ V  '6cQPAuc“A@GC6@© © " wH s2 R &¡ ~ | u| u „ 'vCwˆUe x ‚ Gx (  'vp'wCSƯx x W &Ă ~ | u| u  g D  ă | ă GĂ â W x Ư Đ $ H H #9P&2 R „ & w  © V ( "  t © " F €‘31fQ…†f'6( R b)'6s#‘'&a$ IR C#&'G‘C…'C3Ca@P! " F ( "  S " !  F ! © "  © F " " $ â Ư $ H H #9P&&2 R " F ( F ( !  ( " V V r $ $  6ƒ6s9b&6a)WWhb&˜6shA)3&'3b9!7!Hv  (  ! $  F — F B x g B q r4 @ q â!ƠsCâ)q q g  " (  r ! "  ( $ EP6ha)#h6'– " t $ " H †d#&' S d…A6u#6s S P6‡&6@G( S W)Us#63#'&aP7)&#b6d@© ( ( © F ( $ " n "  ( ©  V ! 4 " F ( " !  $ y ( "  H ! " F ( (  " P6( S y " $ a64 S  V ! " t H H  W#TI&90  R#As##ac'6D' ÔR &6@Q)6@'6( †   " – ! "  $ $ 2 ( ! S  ( © " 8 © " F 2#! R •g „ &6f'&hA†a)6a#d' S 6@b'69'&6( S W#ˆ)'90 r € (    $ " 4 ! $ " F (   V ! " F q s „ u'&a€&U#& S Da'#6UhP#'Ys'Uv#& '6( € "H  $ ©  $ "H ( "   $ ! ( $  " " rH ( "  H ! " F q € "H  $ © ss „ 4'&a€j&  S 68 y ( PsH S )6€c‡P)Q6)a‡'6g7“#6( S W#‚ S 6@8 $ " © $ € g "  " $ " F ( r t  "  V ! " t H H  „ †U&&9j…€ y rH ( "  vs6v#&#! 2 " H  $ © (  H " t " H ( r "  " " !  R ’ S 6ˆ&&a˜“6˜'&&#†ˆ&' S ”a)Q#Y#'&a$ " r "   " ( " V " H  V  " t © !  ( © "  $  F — — Ya)‘P6v#W#&Wb†W@P€&6@GD†•3dg € 2 „ r&6( w © "   …G)†ƒ'&' S 6@‘6W62 R )†hD&9%Pv#&&#‡'6W6“P'64 S )64 " F ( $ V 4 "  F !  F y ( "  H ! " F ( (  " ( " " 6@© q s„ € $ ( $ " " F — R €6&H S #6“'3tg r © "  © F ( v@…'@'U#vs#&avy $ "  ( " !  $ r v@© V 62 R D† " †  $ " t  ( ( © " $ F ( $ H ©  E&W#6( S &6aa@ha'6€2 R #" S  † (    $ " 4 !  ( © " 8  V6'&hA†a)6a#˜&6@#6© ‡  $ "  "  " $ " F — ‹ Gm#v‡DQ6)aˆ3ƒg ˆ † $ " t  ( ( © " F ( R ‡)6( S &6aa…W'6‚2  " $ © t $ " H Pa'9#&' S €P6ha)#'6˜ S 6@I&&9cDQ6)a'6'#c…A3— (  " (  r ! " " F ( H H  "  " $ " F ( y $  ( â F Đ ‚ „ & g s„ & ¦ Ž  † pÊt ă Ư ( bĐ H$ Ă q a ¦ s s„ t „ £ © „ € Ž U EƠ $ Ă $ H H #9&&2 R " t f@PH$ â !  „ € ( © "   ¡ …q6…G)†’'&' " F S 6g'6( $ ©  "  "  F ! @gP#&'G© 2  ( © ( " V " H  V R ™&6@Gv#W#&W`B ˜ $ H H #9P&2 R a Ư  s bĐƯH$ Ê A S9 ` YX # Ưz 8âÊ s W T Ă © VS T U Ž B g o " t  ( ( © $ ©  " (  " 4  † R 9Y46( S &6aa@fhP6a@†#6“ S 68 " F ( '6ˆ&•#&' S ( R dD†YV S 9'6Y'7‘ R c" S )&6hƒD@P3@2 R  $ " H " t " F (  © y H ©  ( !  ( $   F ! © " †  ©  ‡A@†y Ž ˆ † y $ ( © F — g 2 ( ! ƒ‰j#&…A3|6D'  A@3‡$ © y &6…l)64  ( © H " g $ #&6@G)†2  ( © "  S ÔR " Q6( R " F ( F (  " ( ©  ! $ $ © $ " !    " F (  6g6s9“P6@#vaa@)#&A&C6ˆ'&a$ S V 64 R ( " $ R ˜)au© &I)6( S &6aa…©  $ " t  ( ( "  " $ " F ( ( © ( © "  DQ6)a'69…C@6@G)†2  " ( ( V $ P6asWa'@Gaˆ†”6ThP# © ( " t ( $  " " &6@#6WP6ha)#f6s6v#f6%&6s˜`dPv#&&#f6‘6˜&6(  ( © H "  " (  r ! " " 4 ( " " F ( y  (   © B g ( "  H ! " F ( (  @ d ¦R " 4 ( " " F ( $ " F  y "  " R g636s6v#T'69#'a$ S †PDQ#3PF © ( &H S #6T'696ha)#hv#&&#T'6”#'3fPv#&&#‘6W6( $ " " F ( $ (  r ! "  ( "  H ! " F ( " F — g ( "  H ! " F ( Q F d4 q V F !G7£X!TwR   âƯÔ s $ &6l)6T69&WaGaW69cv#W6s7h)"  ( â H " " F ( (  V $ © ( ( $  ( " V 4  F d4 g V P4 q F B f GÊq XƠQÊdAW4 ÊâĂ  0) ' 8â0 ÂƯ4$ t  ( ( â  S &6aa@u&a$ S &6@Q)6@©  ( © " 8 Ž ¢ vH$ ¡ S T $ © ”#6as6b)6†“P6…G)†f'6hv&&@PAs##†7‘ " ( ( " " t © ! ( © "  " F ( y r H H © ! – ! "  i g r R &6@6•@'U…A6u#&' S •( S •6)6sATAU6sH S #636u6ha)#h $  ( © $ ( 2  ( © F ( $ " H ( $ " (H –  © $ ( $ " " F ( $ (  r ! " ( "  H ! " F — g ( "  H ! " F ( ( $ ( v#&&#U3dPv#&&#U6c6|6&H S #6U6a$ S '‘ $ " " F ( F   © y &6)#&#a'66( S W#“s&6a…Aˆ69&‰a&''D)W‡6…A6)6s@©  ( ! " H " $ " F ( "  V ! rH H ©  ( ©  ( $  V $  © F ! " V "   ( © " (H “P7)&#W6g6T)Q6)aW6( € g ( "  H ! " F ( ( "  " $ " F w ! " H " $ " F (  ( " V " H  V )#&#aT'6‡'&6v#W#&'W& y r " ( © ( $ $  F — v#6…Gaˆ&'3f|6D#&#ag6‡6v#W#&W™A@bP@6@G)†2 g  ( ! " H " $ " F ( $ ( " V " H  V   © y ( © "  " F (  6W'&a$ S "  " $ " F ( )6)aT'6{64 R V S j&T@6@G)†’@jG! S $ R h&6@Gv#W)W&uG@ba@2 R v&@Ga$  ( © "  © F 2  ( © ( " V " H  V   © ( F  © ( ( 0 ( € g d$ R & âÊâ)( Ơ & )Ê & )6( S &6aa…6( R 96WUc'WˆP'– $ " t  ( ( © " F " V " 2  " " " F y $ 2 ( ©H " © ¢ ©6)'9h‘‚&6@#6‡hH$ ¡ w ! "  $ s##†a”6shA)ˆf&i  (  ! © $  w "  a)†“&6)#&#a‡c)a‡UQIG@  ( ! " H " $ © "   $ ¡ F P H F S H QR&6…©  ( d g @ B ©q USva EG7£piƒ`‹C!%G D F d4 q V Bx B B B I g  " V EPW62 R )† " $   &€'& S 6@“s'†hj rH y r ( a4a7)"ƒ@©f"…©'†H&90U(sH S $#69"'6(ˆ&cH S (f€dgYq'©  F H  " F " o  #6( S &6aa@Ưâ $ " t  ( ( § 231(‡&©Gv#!7&90T2&6(@©#64c'&6sH S #"6d"'3—ug  ( H H  H "  ( $ F o n p 1Ă &cs0 m l k i Đ ¦ ¢ 1)‹~ pv '6f6( S  i¡ u v  " F ( " Ž w V ! ˆ#k S 6@kG#€2 R F ! © " €  ( © h f d ˜ — • ” ¡ cgA e9 ™2–‚S ¡ S “6…G)" $  S 6‚6@P6)’3ƒ@'6ƒPWWH$ " ( © " ! " ( © F ( $ â " V  w  " F ( y " H  V © q " h6b&'W)f â $   Ô 0) ' % $ 1£0 2&# r Q B q r4 @ q Xeâ!ƠsCâ)q g !9R @ d F @ B @ 64 ‹AU!¦753 f F cag F d4 q4 q @ G7Ê7âCig D âÊ"Êâ!âÊăâƯÔ ÊâĂ  Đ Ô    0) ' 87$ Â64$ Ô ÊƯÊÊƠÊÂâ  Ă ( $  6ƒhA†a#6a#!  $ " 4 †  © y  " V 4 "  $  " F ( F !  F  EA@c%PW6@2 R )†ƒ&d'&' S 6@”'6fG&'90 2Y#6( S 6aa…© R W&&‚’6Y6)" R 6‰’g  ‘G‰"Ž $ " t  ( ( ( $  H © ( $ " ˆ † †  ˆ † † " " F ‡6D'90 $ ¡ …ƒvmP6#€&q6…G)†2 6…Q#6@@k'd S 68 „ € r t  " ( "  $  ( © "   ( © " 8 ©  ©  F P €F @ d g @ a D F d4 q g B U‚¦)q USB †yG7£i¦SC@ ¦6 q cag !2¥A9U@ x!%G f F F4 a d w B I ÊÊÊÊƠÊâăÊƯƠÊÂĂ  Đ Ô Ô    0) ' % $ 1# (&# ¡ ¡     ¡ y D¢ €  " PA)h – " £ &6&hA#&U)Q6)ab6ˆ†  (   ! $  "  " $ " F ( a &h„)&  „ S© … $ & ¦ @s „ S© … i &„  # ! ! h)& §)" # ! t qƒ S t s PUt x … w © F  V " ( â "  @AW#C@6@G)&Ô  ¡ g  7#&6))hh&  ( ! " i &6s'#9696D'90  (  ! " F ( " " F © U S 8cQH s H$ £ " ( … g @¢ … ˆ ‡'&6@GY@6@G)†ˆ'6ˆa$ S  $  ( © ( ( © "  " F ( "    A@© $ " a$ S $  ( ! R &6)' –R S " F ( $ " v  '6##&a$ " F ( y " 6†62 R †9€ " t $ ‚ S t Ž ¢ vH0 ¡ &  QC  x £ s 'Ut }| $  '•#'&6@#6g`ˆ6#“6( © y $  ( © H " ( " ( "  " y 3v%&6s'ƒ`dh  (   © B g " 64 S &Ig&€9P'a3@7y  e  F $ $ © a D B D F D B A U b QE@W§EcG£`7 }| x … 'Ut P£t F QEeWGEe¡G@86 a D B D F D B A ˜ %&6)#ab$ S &7#66(  ( ! " $   "  " F ”a'6(  " $ F $  ( © H "  " – H  V  $ (  H H R ˜&6@#6™PAs&'W&au`™'&9P&2 R " F (  ( ( H  6’6as&'a$ c EŽ  t€ x v u W9yw©t R " F ( "   $ 6˜)ha')! 2  ( © ( " V " H  V  " F (   © H  q " R d&6@Gv#W#&W€6“'&'&Dˆe " $   " F ( R ˜a†64 S g6W2 R $ "  #&6)" S ƒC'u'&6s6b)6W2 R n p o i  ( " 4 !  © t " H © @G#&“@“)Q#C3f6)9%&6)#a€9P&&2 R ©  H "  "  " " " F y  ( ! " $  H H " F ( 6k&™Pa$ S   " " t H H  †c&&9f&6)#aW&6m&k#†&#Q#hƒ66@GD†2  ( ! " $ $  F (   "  H "  "  $ ( © "  &6@Gv#W)W&c3IEP6v#W#&'W&Y&6v#&#!  ( © ( " V " H  V  " F — g  " ( " V " H  V  r H ( "  ¡ " ( $ (  " " 6@6Y6ƒ##'‡f( S 6&90 © F (  R " " t © ! $ ( © — 9†WPU66@GD" w  "   $ w ( "  H ! " F ( ( © F ( " " ( axav#&)C'69@'6C#6vGâ S Y69&a64 S 3dD â ( $  " $   " F — g V " F #6( "   4 © r " F ( $ © Q&6a@ƒ)69@”va9@{P6ac)$ 2 $ $ © V © " ( $ " w @'6bDQ…Y'&7&6a@c#&' S 6Y6ƒP&&'†˜Pƒ)6b@'6( © " F ( "     4 © $ " H ( " F ( (  "  H   © " t © ! r " F ( ( © F F D! S 6@‡acv#&)'6g˜P6( S #h)f6@6@G)†9@'6‡&'&aa† $ " © "   $ ( "  H ! " F (  " ! " q " $ ( © "  ( © F ( " H t  $ $ V $ © " ˜h64 S '#d6™aaf&&9”336@W6)'6a4 S ~&'&aa† $ " ( r ( H H  " y " V " F ( e g " H t  $ $ $ © kG! S F " 6( S &6a( t  " F '6( F ( "  " $ " F ( ( © $ " 6s9”)Q6)aj'6h@‚#6( S #" ! H " F (  © " y 2 ( © ( "  t © " F ( c'6”6@‘3†%&6@G@'TQ…†‡6“`B V $ © ( "  H ! " F ( ( © " ‡v#&&#‡'6@Y'h6‘6‡#&W&'&W˜6fW)6(  " F ( " v  V   V ( (  V " $ © F hG! S &6sA#!  (  2 (   " ( © H $ 6v&“P6@a'@GaC†I&&9g&6( © ( " t H H   s $ " F ( " F ( H H ©    )6‡'6p&‚6h”A@Ey © H H  " y $ ( © "  &9W3•#66…G)†2 g "  " $ " F (  P)Q6DaC'6˜'v#&&#C'69a6D“&6@G( S W#ƒa)" S n © ( "  H ! " F ( $ $ ! ©  ( ©  V ! r   U QvŽ S H © t ˆ x U &6@G)†f&`!#G€@'e  ( â "   Ô y " ! © ( $  " F ( ( © F ( ( ! '6C…A6)@© R " F ( 6“9v#W6kf ( " V  © ` YX # 6z 8ÂÔ W t A S9 s   $ '&6&hA#W`s&© S Pb)6&)†€H S )ƒ  (   ! r ( H n " " F (  " " t  ! S Ž s '`} }| ¢ s †£t £ (s S T ¡ © VS T U x … q p e€ £ ib&h„)& hefgde  o h„ &  H c R &6s'AD•'6CT#a3|D¢ PU'¡ 2  ( – "  " F (  " $ © x g x … t &6@Gv#W)W&dQ…†m'6i&Ddu  ( © ( " V " H  V  "  t © " F (  © H  q " "  '&a$ S s„ & " F ( $ 2  ( ! c '6‡@'6( " F ( ( © F R 2Y(…©AF6(‡$©ƒ"WV©6$€'6‡& '| … Sâ R 6D' ÔR C S } x  © }| „ '`} S© … '|y '`} †£t y 'Ut P£t }| x … }| x … c " F ( e6€)Q&9QPA93U'&6))a$ S &h)69'6ˆ1B "   "  © F " $  ( ! " $   "  " F ( " WV S aWEv`s#&&'W&aYg $ $ © " y r ( !  H  V  $ e £ ˜ (  " ( © H $ h6˜P6@aGa( © x … †£t g "  " $ " F ( ( ©  " P)6)aY6C@‚P6( S #h)Y6C&Ô ! " q " " t ( $   ¦ a " V © 6)WG4 R ˜ $ H H #9P&&2 R @P6v#W)W&C#&6@G)&`Ô Qâ $ â  " ( " V " H  V  " t © !  ( © "   "  t " 'F3hD‰—@GD'6j&”'&6sH S )64 ¡ '&6&hA#@G)'#W6W€†t g  $  Ô w â ( " F (   ( $ " $  (   ! H © " " " V " H S 2)!9D9&Ô  S Pkd6W'a#6a@#q&`'6a@PqG&'90 y   n " © ( $   $ " 4 !  Ô " F ( " $ © ! F !  F 2 (  !  " F Q&6sA#Ô '3— $ 2 ( © "   Ô â "  $ Ă F P t F @ d q g @ B a D F4 d r B I %&6G)T&`!u)hlaUue7ƯâiCSvR29s!%G & g 3f ¦ ˜ $  "  " $ " F ( #c)6)aC'62 Ư Đ " F ( " " F y a '66)9ub w © "  …G)†ƒ&6)#&#acQ…†'67%&6)#aU$ S &7#6hc6W€Paa$ S a&  ( ! " H " $ "  t © " F ( y  ( ! " $   "  " F (   " $ ! $  ¢ H0 ¡ & " U  x " H  V © q " &'W)© g $ " ##6( S &6aa@© t  ( ( w ( © " F (  " " r H a…”'6™##™&&9™Y6…G)†m&6haD#”3tPv#&&#! H H  © ( © "  2  (  r ! "  " F — g ( "  H " F ( ( © " '6€@g6( S )Du6mPWV S a”6…g6@6@G)†m#'6h1'c&€ ! " q " (  " $ $ © " © $ ( © "   "  © w H H g "  " $ " F ( ( © $ " P)6)ad'6h@‚#6( S #h)j6@GD†’)#&#ad'6h…A6‚)© R ! " q " ( © "  ( ! " H " $ " F ( ( © F ( ( ! ( F  H F  F v&&'q6ku"ƒ&6)a6)† S f© ( e f X (   ! $ " $ w q " ( © F ( ( © "  7)@'6C6…G)†2 w ( © H H  "  g $ ( a@c&&9ƒjE#6sH S #6ƒ" S a€'6˜6…G)')‚6™&6ha)#hƒ)6( R © $ " 4 ( " F ( " ( © " " (  (  r ! "  " ( "  H ! " F ( ( ©  " " (H – " t v#&&#C'6c@gP6)6sAC†“)'6p&&9c6D3'@‡a#'33P)Q6)a6( " F ( H H  $ " $ © " $ " F — g "  " $ " F ( © …kP6@6Y#)hA&€6( S 6aa…g6”'&a$ S  " ( $ $ " !    " t  ( ( © " F (  w " " $ " $ a)#ƒ6)3© ( © "  " F ( r t  " ( @6@G)†€'6jvdP6…© ( " $ " $ © "  V ! ( (  V " ( ( © H H  " R ˜Da6)† S j“6( S W#u6ˆhW#6a@f&9”0 y rH H © ! – ! "  i g "  " $ " F (  vs@PAs#)†h‡P)6)a‘6“A7)&#‡'6a6)6@6@G)†Y6( © ( "  H ! " F ( $ $ ! © $ ( © "  " F 2  ( ©  V ! " F (  ( ( ©  ( $  r " ( © ( $ R ”&6@G( S W#T'6”&6s6a@'W6&”)6@Ga4 S r g " f64 S D#6s'G! ( ! " ( F w © " $ © t © ( ©   " $   " F ( a@ca@AG…'ˆ#a†6h3'6‡&‡P6v#W)W&3†ˆ#d‰6@6@G)†2   " ( " V " H  V  " t â !  $ ( © "   &' S 6g'A#')6)Esf)a†#'&y#&6)#&#ac”G! S $  © y " ! " "   ( " $ y $  Ô y $  ( ! " H " $ $ © F ¡ $ ( 66…© w "  H © a)††A&6@#6@© S l7&'&fP'c†&6)a#hW&6)#a•&'6Y1B  ( © H " H       F " t  ! $ "  "  ( ! " $ $  F ( IMPLEMENTING RELATIONAL OPERATORS OVER ENCRYPTED RELATIONS F !  F y ( "  H ! " F ( G9vPv#&)c66( s    '© s $ $ '&6@#6b6s67)c6UsWaGa(  ( © H " " 4 ( " " F ( ( V $ © ( $  r " ( © ( $ "   © 6c&”@#6@GaTQ&@Ai6@#”6&9g#a$ S € g " © ! F (   " &a)6( S T'6Ya$ S  Ô w " " F (  " t  †“lH S af)6)aT'6( F $ "  " $ " F ( © "  " ! @6@G)†#'#6DE&h1a)aT'6( R ”&6@G( " "    w ( " $ " F 2  ( © w " V " H  V  " F ( y #W)W&6h%&6@#W&6hcQ…†'6€6&9ˆ)Q#7%'#)hi  ( © v  V  (  "  t © " F ( F (  "  " y  ! "  " P'64 S )6b6@U6sH S #636•D6( R ( " " © $ ( $ " " F ( "  " V PW6@2 R   V 64 R " H &' S ( " H & S qh6@'W&&#U†&9ˆ S 6Uv#" ( $ © " ( ©  VH " ( HH (   © y $  ( © F — g " V  ( © ( © ( © "  E#&C…A39W&6ˆf@@6@G)†2 s„ € r vt  S 6‡'&aW)ha')W6gP#'gs'‡3'&6))U6 " H  $ © "   $ ! (  " " rH " $  ( ! " Ô g p dpp   '&'†a#6a@#9'6WG932 R  $ " 4 ! " F ( F !  F w " rH " ( ©   " V V  " H D6Cs#6@#WWU&' S ™$ ( s   2 R ' ) ( '9& $ $ " H #& S 9a'6T6ˆP6)&6a$ ( " $ F ( (  " ( !  ( Ž " t  ( ( € " " † 6( S &6aabh)hi } | Sâ  x Êt Ž s P£'¡ x … t © "  © F ( © F ( $ " H hQPA˜@'6ƒ) S “6f&© ( " F ( H H a@P6W'3’P6…G)†h S 68 $ © " " F — g ( © "   t  ( ( © q "    " $ © t $ ( $ " " F S 6aa…’)'djPa@AT6sH S #6ˆ6( g h Ă Â " $ â Ua@P!  &6)#7t&kPA)h  ( ! " i   " – "  $ £ R € " 6( S &6a( t  " " F 6D'90 c ˜ $  (  ! " F }'|£t x†…£t'¡ & "!U ‰#&b &6sA#ƒ'3—   x ƒ h„ ¡ ƒ h)& ƒ & ! & „  )" ¡ ƒ '„  & # ! s €€ £ © Ž  $ ƒ h)& ƒ &„  # $! #! $"! ¡  ! ! &„  # ! &  # ! ¢  $ ¡ h)& §)" ¡ h„  §)"  #$$$# ˜ i  '9 z    " w  Ž  A@© ( 0 & ©©)©( „ & " " F 6)90 s„ & a ĐƯH$ Ă Ư s s q6( " s m&d#6( $  $ " t  ( ( © " F ( H H ©  S &6aa@9'6h&T'&a$ S g $ ‡#& $ " )6( S &6aa…p&© R c&&ƒV6)90 t  ( ( © H H ( $  H Ž † " " F Ê â U ă  vH$ Ă ă ăF @ dq g @ B a D F ârƯâiUevH7dÊq x t & Ê'Ă '  ¡ „ g F A24 © & 8U '„  £ ˜ ( © "  P6…G)†ˆ& g V4x a pWWG!8 ¢£!%G B I ¡ &26(  ¡ ˜ $ H H #9P&&2 R $ ©  " ( " V " H ƒP6v#W#& 6…G)†ƒ'&6a@a‡6†&'W@'DCe  ( © "   ( $ " F ( y " H  V © q " ¡ rH ( "  s6v#&#! — " y "  " $ " F ( r t  " P)Q6Dag'6’vmP† S 6@k#)†˜QP'F " " t "  ©  V ! ( S W#‚63H –R a$ S S "    © V " F '&'€W6( $  ( y   " $ "  "  ( &Wsh'&76)a#6hW)G@WW& $  "  " y rH "   ( © " (H € g  (  ( ©  " H  $ © "  R j#Q)Ivs#Q&6@'6)6s˜|&6&6a…A€&a˜YDQ…2  " ( $ "  " © "  " $ " F ( r t  " P6a@a#6“6…ƒ)Q6)ag'6dvm#'64 S D64 ( " " F 6( R I#&''@€f76)a)6xa)G@QP'‚7‘P6&u)6( S &6aa…© B g $    © V   " $ "  w "  "  © F †   " ( $  H $ " t  ( ( g 9† $  A)†#W&aa##v66†˜&g„ "  "   $ $ " !  ( $   ¡ " 6( S   $ " #6( S &6aa@“b#&' S f'6ˆ&6aaƒvt t  ( ( © $ " H ( " F (  ( $ r V 62 R )†CA@g© "   © y " F '6( 6D' ÔR  ( ! S &6ha))•'6Q&#!  (  r ! "  " F ( H H © € ug q s„ ¡ &6@G)†2  ( © "  q s„ €  ( $   &6aauhA†a#6a#hmvkP)'#6˜†k@Pq&6…G)†2  $ " 4 ! © r t  " ! © H  " " t © !  ( © "     © V " F '&'€h'6( q s„ € g 9† R B &Y)6( S &6aa…g6(  $ " t  ( ( © " F  R † &ha6(  " $ F $ " )6( S &6aa…© t  ( ( &6@G)†‡&' S 6T‡Cv#&b@'3—  ( © "   ©  " y $  ( © F £ ¡ U „ © g $ " ##6( S &6aa@© R t  ( ( s„ & " F ( (   '6Y6WhA†a#6a#!  $ " 4 a ĐƯH$ Ă q ¦¢ s s„ Ž † " " F EV6D'90 ( $  H Ž  † " " F R C&&iAc6)90 Ă Â ƠH$ Ă $ â $   c&H$ $ H H #9P&2 R ¡ „ ¡ ( " V " H  V  v#W#&WY6( r " ( © ( $ " F — g "  " $ " F ( ( © $   #6…GaT'3bPDQ6)a'6c@”6s6a…A”aa6'A#&  ( ( ©  ( $ ( $ – " y $ Ž  $ © ( © F — g ( © "   …A3dP@6@G)†9'&' S 6d636fs6@&W&aP6v#W#&Wd†T#! " F ( ( rH © H  V  $  " ( " V " H  V  " t â  H$ Ă  $ ă  Ư ÔYB ĐW4x Ơ`âq w h S 6u'6b6&6…W&acP6v#W#&'W&p&3 6…G)†T&6…A&W&)" " F ( ( r H © H  V  $  " ( " V " H  V  $  ( © "  2  ( ©  V  H w " ( © !  H )6…P& S 3•UP  " F — F g )" # ! w@©G4)"†2‘8&6(a42a$c"'F6(3$#"&&H'©€A@©'y#$)"H S (YP"64 S )6c'6•6ha)#h ( " " F ( $ (  r ! " & " F ( '6“2 h  &6@GD"  ( â Đ ¦ Ž r6)90 † " " F }| '£t w V  " t &@Pb â ! g V F ( H © ( $ w " " V ©  “'6s6@caax)6)WYWa$ S  " ( " V " H  V  " t P6v#W#&W˜†™P! © $ " H #& S 9'69#'&hdE6@33v#&&#! R Uv S W'69#! S P66)Q6Da$ ( " F ( " !  i g ( "  H ( V © " F ( "  " ( "  " " F ( ( 6ˆ@© &6@G)†bPv&€&'W&a”ˆ&Y6sH S )6€6”'&6aa•#$ S 3’|&6(  ( © "  H © ! H " H  V  $ © $  $ ( $ " " F (  ( $ y F — g  w ( ©  © s6a@'’q&6&9‚6 S  F (  ( $ ( 6sH S #6'6€#'67#&''@€Y76)a)6xa)G@CQPAb)6( S &6aa…© $ " " F ( " F ( y $    © V   " $ "  w "  "  © F $ " t  ( ( " F ( ( 63b3)'6)9ƒ† S 4 " F ( " F w V ! ( ( "  H ! " F ( ( © " ˆ#W697)&#69@‡'˜630 R 9v S W@T'69@'6C62  2 ( V © " F ( ( © F ( " ( ¡ &6@G)†‘„  ( © "  " y ( "  H ! " F ( (  " @Pv#&&#•'6b6fP64 S )6•6@u6sH S )6•6p)6( R ( " " © $ ( $ " " F ( " $  ( ! R ˜&6) –R S  " (  r ! " " F ( P6ha)#c'6W2 † ( $H " F ( Q&&'6“& „ & $ " v  $ © F  V " ##&a''W#gv)6( S  Ô " Ă Ê ( i )Ê i †  &' S 6‘6d'&76)a#6hˆ)hGb&˜6@© $  F ( y   " $ "  "  H H © " "F6(Y26(˜P"6(…©lHa$©G4a(9$&€ra4)" S T'3U#6)'€V n " F — g $ " © © „ S© … " 6( S W#ƒ6Cv3Y3‡a†' S Y&'W@)’@j8 S 66(  V ! ( ( © " " $  i g " H  V © q " © F F  " ( " #6') f H t V r $ " F ( y  © © " ! ‘†Yh”6f|&@Qh)'fr (   ! $ " $ â $ R &6)a6) S u@â Đ Ư Gd  A   ¢  $ c  ¡    ¡ x  ¡ z  w  ( 0 2i ©£)©( " F — g rH "   ( ! "  $ " '3dvs#Q&6))†a#64  A@‰†&6@#6…A6YWV S a€h&9…&&2 R © $ $ 2 ( ©H " ( © F ( " $ $ © "  H H ( & )£ & " F ( '6‚`€Pv#&&#! B g ( "  H &   ¢ © 8U s †£t x … ( "  H ! " F — g "  " $ " F ( v#&&#T'39P)6)aT'6“h6…#64 2  ( © H " w   ˜&' S 6W„6@2 R )†f6'‡3E#&@'3Tg © V 4 "  ( $ – " y $  ( â F a Ư  s Ê'Ă h €€ x … t & s   R #& S '& $ " H ( 8   hA†a#6a#U'6A@‡#6ha)#h3†t  $ " 4 ! " F (  ©  " (  r ! "  " " S pp H ©  p % r4©$$"!" (2  $" &a…6a###‡'‡&$T#6( s S© … q sS „    " t H H  ( $ †u&6‚#C)Q6Da‡6C@hP6@6C##&hA&T'6†P)Q)3Pff3f © ! "  " $ " F ( ( ©  " ( $ $ " !    " F ( y "  " œ g     £ ¡ }| '`} F ! â " GP2 R Ă ƯâiCSvD F @ d q g @ B a € F ‚UP &6…G)†‚'&6aa$  ( © "   ( g  'Ê'â9ƯC)v }| tĂ u ~ v  F4 q @ d B B I !2£U¦‹“!%G $   " " r H  V hf#vP&'W)" R 3D†YV S 6b7 S #Y6( " t " F ( ( ! 6…Q#6@@Y6(  ( © " 8 © " F V 62 R )†ˆ3Evs&'I‘P)6)aY6( "  " y rH H ©  e g "  " $ " F }| '`} r t  " v˜#† S 6@g#)†g7P6sCQPAF " " t r  © " 4H © "  © H H © " !  $ y rH ( "  &C)'&a7vs67))! " V © $ " F ( F ( $ " H W6'6g6s93#& S f6( ( " F " "  " t © !  " ( $ $  F — g " t  ( ( — c'hf†€@P€#63&'3•6( S &6aa@© }| '`} " F 6( W&6…G)†C&' S 636i62 R )†‘'v7G@b'6uhaD#90 2  ( © "   " F ( V 4 "   © y © ( ©  " F ( (  r ! "  " y ( "  H ! " F ( (  " Pv#&)'6W6˜P64 S )66@#&' S gP† S 6T'6c)6( R ( " " © $ " H (  " " F ( " s '`} }| " F ( 6ƒC6( S &6aa@© " t  ( ( F ! © " D@Pu&##vP&'W)"  $ " " r H  V € g "  " cP)Q6Da$ " F ( 6ƒY S 6‘Y96f3h#&9@'3—  ©  ( $ – " y $  ( © F ƒ h)& &„ a ¦ ¢ s P£'¡ x … t £ s €€ © U „ 8u…€ ˜ (  " ( © H $ 6ƒP6@a'@Gab”&6@G)†2 © ( $   ( â "  n  'Ê'Ă &cs0 ( '`} m l k }| t }| " F 3e Yo g ă ă (â4" 2 " F( y H  Vâ q" 42 e g ă (©4" 2 (© &26@GD†ˆ6|&"W)TW7&26@GD†u26…A& x … t †£'¡ € ug "  " $ " F ( )6)af6ƒb#&' S ˆP6hha)'#'6€ S 6b6f37#&9@'3— $ " H (  " (  r ! " " F ( ( $ – " y $  ( © F " 6( S &6aa@g9& t  ( ( © © $ g ( "  H Pv#&&#! " F ( ( © '6U@€&6…G( S W#c'69#! S P6ˆs6vP'&&aWH S )7va@6a##)'  ( ©  V ! " F ( "  " rH ( © ! –   $  ! y r © $ $ " ! " ( '&&'9hhla9DQ6)aC6c…ˆ S 6C6‘'&W6@2 R )†#$ S 3— " H  F y "   $ "  " $ " F ( ( ©  " F (  V 4 "  y F g % S 6@D'6© " F ( w "    © aDE&hW„64 R V 2 ( " F ( 31d6C##`)†d##6)EsI)a%7)" S Pa't S d'6fA@˜“'™$ R " " ( " t " ! " "   ( " $ ( n " $ $ " F (  © f  © $ " #6( S &6aa@•'6366D#U6d'6U'&6( S W#&P6@W6)'6a4 S e t  ( ( © " F ( (  ( ! " Ô  " F (   V !  y " V " F ( " S  H © w " " t r H D6†‡&T#€badv#&6‘P6v#W)W&3#')6)EsU)a$ r © V "   $ ( "  H ! " F (  " ( " V " H  V  " ! " "   ( " ( v#" S Pat S 9'6Y'ƒ&6)#`C6h9'6Q)'#u‘$ R •#&' S 9a)'6( n " $ $ " F (  ©  ( ! " Ô  " F ( y " ! " œ g $ " H ( " $ " F 2  ( ©  V  H " H ©  ( " (  " F ( " © !  ! ( © F R ƒ&6@'&W&#'6v#6†c'6ca$ S #€H S #U@'6( w F ! ( © V G6@€Cc6…96)'6d…A6dWaP6b3dP)3€@@YP64 S ( " © " " F ( ( © F ( $  $ © " " F — g " $ © © $ ©  " Pf#&' S ”G! S |Pv#&)Y'6f@ˆ6a…‡6…G)†ˆ)'#6)EshT)a$ © ! $ " H ( F $ y ( "  H ! " F ( ( © "   4 © ( © "  " ! " "   ( " " F '6( R #&' S €&6&H S #6'6“#t5P)'6D6“P† S 6@‡†u&&90 $ " H (  ( $ " " F ( " F  g " F ( " (  " " t H H  $ " )6( S &6aa…© t  ( ( ' ( y ( © "   P6…G)†g'&' S 6W6g6ˆ" S IW)‡“Pv#&&#W'6’2 " F ( (  y " H  V © q " e g ( "  H ! " F ( &6…G( S W#C6f#! S P6€s67@PAs&a“#9&9…A6b&c6@GD†2  ( ©  V ! " F ( "  " rH ( © ! –  $ © ! (  ( © F ( $  ( © "   '&' S 6@ƒ6“'& S #'&ˆ@2 R " F (  H !  " F ( '6‡( S '6s9j#Q)Y))6a#W†uH S 3d&6…laGaˆ6u#‡…A6( F ( "  " ( ! " 4 ! " t  2  ( © H $ © ( " F ( y $  ( © F  '&' S 6@Y'6%P6sI‡vv6a3D6'Y6@‡6…G)†‘#')6)Es1a)a$ " F ( y ( $ 4 e g r F ( " ( " © ( © "  " ! " "   w ( " " F '6( R &6…G7)W#&'W&Q…†@6I( S †d'&6@6)a'™)" R 2  ( © ( " V " H  V  "  t © " F ( t © $  ( ©  " $ t w ( ab€ y Ê Ư Đ &  # &  $ ¡ h& ¡! ! ¡ h„ !  ˜%ra4D" S ƒ'&9P&2 R n  H H ( 'f6@ˆ9##Q…&W#C'6†&ƒA'‡6bv@bf#&b…A6vy " © F $ " " r H  V " " F ( H H ©  – ( ( © " y $  ( © F ( " H S ‘Q…†@ˆ'6ˆ6…Ga$ S &&YuPaDQ6)aY6’h#67)W#&' "  t © " F ( " ( © ( H H  "  g "   $ "  " $ " F (  " ( " V " H w V  $  ( © "  " F ( ( â F ( 9&6@GDC6b@A6 w a( R &”'6( " H " F ¦ ( 0 s i (â0Ê0â0â( s Ơ i ( sÊ i ( s1 & ââ)â( sƠ & ( Ê s & h ` YX # Ưz 8âÊ sW s H$ Ă Ê s g Ư ĐƯs  !   $ cGd  ˜ ¡    ¡ xd  j ˜ ¡ z w ˜ ( © "  " ! " "   ( " $ " F ( ( " V " H  V  (  " P6…G)†d##6)EsI)ad'6†v#W#&W96fPa$ S †‡@Pd&H S b'& " t © ! " ¥ ¥ w H H bP&2 R $ " )6( S &6aa…3)@‘P'')c6@W'c&'&6@'W#c##6)Es)ac6@© t  ( ( © "   " – "  " ©  © " H t  ( ©  V ! " ! " "   ( " $ " " F ( ( © " '6d@9hY6@30 R I7 S W@9'6#! S P6‡s&H –R '&'@PWC6‘#a$ S  2 ( V © " F ( "  " rH S  © " V (  " $ "   6…©P†'@©ga$&@~$ R ‡& S “#Q&€fC@f)6)'9|)6€6T&'&a$ H © " H ( "   © ( 4 " F ( " F H H " ( ( " H t  w†W&&csAy   A@© $ V  $ (  $ $ 2 ( ©H " " F (  (  r ! "  ( $ – 2&6@#6C6Y'&6haD#6'c( S '6s90 F (   y !  ")'&a$sH S ! — U&)"64)ab'6•@© ( $ " $ " F ( ( $ &6@G)†c)'#6)Esh9'6(  ( © "  " ! " "   " F F P F @ d q g @ B a D B V F B @ B U& ƯâiCSvpcICSĐ SG!%G q B B B I 2  ( © ( " V " H  V R ˜&6@Gv#W#&W`B ƒ '& ¡ ƒ h„ &„ &  a Đ s PÊ'Ă Ư x t X " ( "  ’6')tV)%Pv#W6a…A#h † ( " p g ( " V ( ©  " " t " F (  – ( ( © " y $  ( © F R CD†YV S ˆ6‚'Ag6Tv3ˆ3I#&‡@'3— &  &„ — • ¢ P£'¡ Vf A '„ h9 ˜ j™” S ¡ '& € x … t h ˜ (  " ( © H $ h6˜P6@aGa( © $  &9 w V  H " " ( â !  H ˆ&&#C6…P&&' S '6‰6@2 R )†Pv#&&#C69@ƒP6ha)#hg'©  " F ( V 4 "  " y ( "  H ! " F ( ( ©  " (  r ! "   6…Gv#W#&'W&f6ƒ&@lh)fj  ( © ( " V " H  V  " F (  © H  q " " g H " t " H  V © q " " F (  …&#†c&'W@'Df'6‡'&a$ S "   ( © " ( H © Q&6@A6D6&@”Uva)" S T'69#6@© S @)”D&'9Pv#&)‡6Y6&'t € g r n " F ( $ " ( H ©  " F !  F y ( "  H ! " F ( ( " H w © …G( x … †£t " F ( ( V $ '6ƒsWa'Gams'W&a™6˜&ˆb9t © ( rH  V  $ ( $  ¢ ¢ ( $ " F g  6'3DƯ Ă ( ¢ 6‡X© ¡ ¢ ¡ i¢ " 64 S &Ie  ¡ r " ( © ( )6@Ga$ $ " #64 S &Ik™P6…Ga$ S &g6@€#&)6@Ga$  e   " ( © ( H H  " © $ "  " ( © ( &6@© S #f6( R CWaƒ')6aWa)" S WhA†a#6a#f'3—  ( H ©  " " F " V $  © " " ( r n    $ " 4 ! " F À Á ¢ r @ B F4 d Ư eAA79â g Hd R Ư w Ư  pƯt Ă F d4 q g 8x g G7£i!WQiT $ ( $  $ ! r n ( $ ! " F ( y  ( ( " $ B g ( $ !  ! " q R U6&a#‡a)" S © R #36Q6aDa4 S Y1dP#Y&6( S )D" " F ( $ " v  V   V ( © F 6%)#&W&WI@'6( ( $  "   ( ! " Ô t 6p&3Q&6)#`eI4 S # @2 R 2  ( © ( " V " H  V  " F ( " R u&6…G7)W#&'W&€'6Wa$ S g " " ( r #6a€a)" S p'&6cX© n H ©   r ¢ ¡ y y  DH$ ẵ Xắ  „ ¡ ( s †£'¡ © x … t £ & h  Ơ xPÊ'Ă h&  (QPA3#G'&ce  " © F " y "! ©($  42 … t  Ž ¢ vH$ ¡ „  s $¡ © £ „ s E&6@#6‘6)&'W)! $  ( © H " " ( " H  V w ! " H " )#&#a$ r a)" S n  &C„ F s ‚&6@#64 $  ( © H " @ d q g @ B a ƯâiUevD  Ê! Ă " t  ( ( R T6( S &6aaâ Â Ê &6(  F d4 q V B d Gƒ£Xe© C@ „!%G D B I g © t " H ©  "  H "  "   7G#@gP†&#Q#h“A@© s $    © V " F ( ( $ &''@€”'6u6W'&6@P'&h7W™'&6sH S #6“6kA@©  ( © ! –   V  ( $ " " F (  "  ©  " F )†@Aˆ6( V 64 R 2  $ "  H S R j&a6)•&H –R  " " P#f'6b#6…Ga$ S && " F ( $ " ( © ( H H " F — g " H  V  $ © t " H © " F (  " " 3ˆ&Wa˜G#@W'6h##5 ¡ $ " ( ©   (  " F ( " F y $  ( © F #6@'&6‘&‡)6)'9u#&T…A6( " F 6( " H &' S ˆ'6( ( " F s   @2   R ™&&6@2 ( $ " " F (  " t  R €sH S #6g'6™&“6( S &6a( R $ " #6( S &6aa@j)hA&ˆ'6’‡#" S @Y'6T)66D67&j&6D#6a#g6‡@© t  ( ( © q "   " F (  $ H ©  " F ( ( "  " (  r H ( ! " 4 ! ( $ ( " H t © " t ( 63f6@y  Xâ Ă H â   @A&&6r " " F 6)90 " 6( S W)ˆ6APsH S #6Ycc9P)Q6)a6…gP6v#W)W&  V ! ( y ( $ " © $ € g "  " $ " F ( ( ©  " ( " V " H  V  (!"Ô24  â y4" 4"$ " F( ( &26)#`C6hP)Q6Da6â ( @'c’ $  " F ( 6‘&f&6ab'&af6vdD'6)6CP6ha)#d&k$   ( $ " H  $ © (  " F ( " (  " (  r ! " $  t x v u WƯyât w â H " © @#69ˆ&&' S ‘GP#'&hUP  " H ( F ! © " " !  i F g "  " $ ( © PDQ6)ac@”&6(   Ư Ă $ '&6)' R  ( ! S " 6( S &6aa@%@A&6sf'6T'&'&Gv&€9@2 R t  ( ( © H ©  (   © " F (   © (  © V ˆ …‡ … ( 6maa$ S a&˜'6d&ˆsƒ6'&c&&9€3‡( S d%&6@Gv#W)W&  $ ! $   " F (  ( "  H H  " t y  ( © ( " V " H  V ( ! " 4 ! " F ( )#6a@#‡'6C@2 R #! S )C&Y6( S &6aa@‚@’G! S €h'D¢ H ©  ! $  " t  ( ( © © F $    € g " F ( "  V " ( "  H H  ( © F ( 6˜W6D6)&9Y@A6m&' S  w ( © H © a@9@A6sh'™@“6@6b&9€3dP)Q6Daƒ6Y…WsH S #6W6(  (   © © " ( $ H H  " y "  " $ " F ( ( © ( $ " " F H H " $ © y ( "  H ! " F ( ( â C@pPv#&&#'6Cj6D' ÔR  ( ! S s   s $ 2 &6ha)#h‡)#6a)‘6”&'@©  (  r ! "  ( ! " 4 ! " F ( r H   s   s  s $ V 64 R D'6s#b6@'&&6‡lH S #! " F ( " " ( ©    ) S Y)'&apvs&#As##†7˜##a&6@T…A6ˆ#&&AG•P&'D)6(  $ " H ( " !  $ y rH H © ! – ! "  i g $ " $  © ( © F ( " " H H © F ! H © !  F ! " " ‚&u6)'6‘%G…ba2 R v&Gah&g¢ $  " " F ( y  © ( F  © ( $ $  " 6( S &6aa@g9& t  ( ( © © $ g " " )6a( ¢ 9t ¡  ! â H  " &#')ă & s r#&hA6( Ă  y $ ( © F "   $ "  " a‚)Q6Da$ 2  ( © ( " V " H  V  " F ( " H  F R u&6…G7)W#&'W&˜6ƒ&&'q " F 6( " " F 6)90 g $ ‡#& s„ & $ " )6( S &6aa…p&© R c&&ƒV6)90 t  ( ( © H H ( $  H Ž † " " F ¡£ a ¦ bĐ s s s $ Ă s U â ă &' S  $ H H #9…&&2 R y $ !  ( ##&6v€#a9Daf'6)' S © V " $ ( " $ " F ( "   $ $ ©  " g#6( S W#C†“@Pcs  V ! " t © ! ( " F ( " '696( S W#‘6˜a&90 R B  V ! ( F $  "  Ưs s cH$ ¡ ©  s   Ž  $ ˜  © %G…ba2 R v&Ga9&9#&67@€#aˆ@A“2 ( F  © ( $ $  $ !  ( © V " $ © t  " $ © t ( © "  Pa'T6@GD†‚&' S  " F 6( 2  ( © ( " V " H  V  " F — g $ "  " R h6…Gv#W#&'W&Y3‘##vTD6( w ( © H " F ( " H  F y $ " ( © !  H a@U'6U&&'9@##6…P& S 36@'&W&#pI#vu)W62 R  " ( ©  V  H " ( $ "  " V w R h€3`g&&@l6v#aa)‡6…Y6D'3U™eƒ¦)q   ( r H H ©  ( " $ $ " " © " " F — F P  F @ d (  " V © 67&“6@3)W@G4 R r vt " F ( "   $ '6bDa'#7&'W@'Db'UP& ! y " H  V © q " e g ( $ ' " F — g $ !  '3u##&6( w h€#a9)a'6WA@ˆ'f6ƒƒPa@A966…G)†ƒ& S © V " $ ( " $ " F (  © © t " F (  " $ © t $ ( © "  2  g @ a USB †D ( " v#6)" R   BI ¡!%G F d4 F G7!‰ g "  ©  $  F P)†'c&6( "  ! $ " F (  r " t $  F !  F y " v  V  (  r n  " $ © t w ( $ ! R ‘†#aT'6˜'vD†f&”D&9AP)#&W&6ga)" S ‚#aAxa#W© Ž `} }| g †  " –  ( "   ( " V ( ©  "  " F ( P'&6v#hd7)W6a@A)9'6ˆ&d##Q…&W#" R Wa…6cGDQP9'6(  $ " " r H  V r © H © $ " © "  © " F ( © F ( " ( © " $  r © H © $ " $ F $ " " r H  V " $ "  "  ( " ( © F ( " H t © @A6T)6…P6T&’a@6Wa'9f#)vPW#T#Q#&6a)6f@A6ˆ&G( " F ( "  r '63)@ˆa)" S €'&9P&&2 R n  H H " V W)! V $ © " c6( S W)!  V H H  "  " $ " F — g ( "  H ! " F (  &&9‘DQ6)aƒ'3’Pv#&)ƒ6jA@©  H "  "  ( $  &#Q#h‡6U&€&6)#aU6ˆ&a†64 S U4 S vy  ( ! " $ $  F (  " $   Ư Đ g  Ư Đ y $  ( © F — g #&c@A3|&6)#U6f'6f6( S W)g#6A@APv#&&#6(  ( ! " Ô  " F ( "  V ! " F (  © y ( "  H ! " F ( © …™&6@#6‡'6ha))pP7)&#Y'6˜6(  ( © H " " F ( (  r ! "  y ( "  H ! " F ( " H   ( &'&6sH S ƯƠ trÔaÊ r apo q vôă Wêă Sap ađ~ ưâĐ ¬ y‰ Ž  { —‹ —Œ‹ axS”p“’ a‘W…t tŠ n WvfÂĂv ả Wvơ aôÂă WêvĂâĐà ẳ ă ằ Ž ‹ —‹ WŒtŠ trSpo rq · Wz~tfy—w—u} {| —zvty SxwvuCs t t ƯƠ traÔÊ n vfWÂvĂta v ‡œ7š™  º › —zvtfy—wvut … t ƒ„ˆ —zvty ‡† t vt vfÂĂtd v6 vạ7á Đ ẳ ằ " F ( 6d@6@G)&' S ( © "  2  g $ #&6@#6€P6ha)!  ( © H "  " (  r w #" D B ECA ‡† … wEC„ “ g @ 54 29746£3 ƒ ‚ €y 297y6£x D B ECA ‡ EC„ 6aG`9YXWVU 9SG7RQ66F † … T RIHG T PIHG T RIHG T sq 6aGY6Ywpivuh9SGR trg c ”“  ” ’  6‰a`‘9Y‰˜—–• 6‰a7“C‘9Y‰ˆ ƒ c 6G fedb g c ”9S‰“Y66mpi7lh6a‰“ tr df ‘‰ ” kj d Y‰ fed™ f d 1a0 ) 2Ê$& Ơ  Ơ ă! e86 ƯÊ " 97  97 @86 Ơ  Ơ ă! " (%&âăĐăƯÔ A #$ '  Ơ Ơ ƯQ5@H @86 ăăƯÔ  67I  97 âƠĐƠ D B E@D V U I T I ÔÔR @8u a V U I T I QÊÔÊR A 'fa)" S c6#166s9C S â H  r n e ( $ " t X " F ( F ( r g ( "  H ! " F ( ( uPv#&)U6c6&6…G( S W#•'6( R IDA&@€V  ( ©  V ! " F "   © w " " F (  ( © " H " y " H t  $ $  $ © r )6b'6T'&6…Q#C&'&aa†Ya)" S c6( R YG! S n " F F ( 6g&6)#ab$ S &7#6'6ƒƒPaa$ S ahc66@GD†%A&6@#6f6(  ( ! " $   "  " F (   " $ ! $   $ ( © "  H ©  ( â H " " F Ô F B@ £€5U!97653 2  ( ©  V ! " F ( ( H  $ ( r " ( © ( $ # R j&6…G( S W#W'6‡s&'a“6’#6…Ga“© r n © "  # a)" S ‡€)Q& b "  " $ " F ( $ $ ! )6)aW'6‡a6)@© g $ #'&6@#6ƒ#6ha)')"  ( © H "  " (  r ! F (  ! © H  " 4 " 6s9f'&#@l#6u)6( R & (õvó &%#û '©$ã ỡ Ê~ặù vợpớSẩỡ & ) 7ởpờờ 6ố 7ỗ ọỉ õ ó vổ pĩ7òvíồ ọ vĩí Yị tvệvỉ~ì õ ộ ó í ~ĩ pỏ p~ò9ấ ẫ7ịí vĩ Wâ ệ Ú & vô û ú " ! !   â  Ơ3 âĐ  âƠ 1Đ ă 0ý7Wỵ   vẩầÊặ Đ Ư Ê   ƯâĐ Ư ÊÔ ý Ơ  ă Ơ ð Ï vÐÏ ỴvĨwỊÊ ÉÏ vÐÏ `~ÌË Ì Đ ỴÍ ũủ ìệ tvệvỉƯế ữ ứWữ ~ửỷvụrũ ủữ Wứữ 9vụú ỳ ự ửừ pýWâtỹ ỵý Ă " F ( (  V $ 6d&WaGaf6d&ˆ@#6@Gab6##6( S &6aa@© R )aC•&j† © ( ( $  r " ( © ( $ " F ( y $ " t  ( ( ( " $ © $   À Å d ¦  À à £ ¦ D t f4 RWcf 2RU@ ƒ!I F4 B g d Q B B d eS9 ƒx B Hd R @ 7Qâ#ƯiCS9Sg a!Êq gx g Q B g @ B T F g I B @ d U¦‚ ¦ g B d I !m iS9 7Ga Q B B dx B ¦dvca7G S!8 @ dR Q F gx a @ B F ! U!9753 B @ 64 g "  " i  P)Q6Dh“'v#&&h##`)†t © ( "  H ¡ " " ( " $ '&6)@G)6v&  ( ! © " ( ALGEBRAIC FRAMEWORK FOR QUERY SPLITTING x … †£t S ƒ&6@G)67&”† S  ( © " (  $  "  "  r " ( © ( $ ! –  A)†#“#6…Ga‘'&)! w "  $ " F (  ( ! " H " i g $ )†a•'6c'&6)#U#'&6…l)6•6( R pv#6v#•'6T† S '#†#h  ( © H " " F ( " ( ! " F ( $  "  " $  r " ( © ( $ F !  F &‚)6@GahD&tHPv#&)Y'6f@ˆ)'#6)EshT)a‡'6˜&  g ( "H ! " F ( ( © " ! " "   ( " $ " F (  " Pa$ S w a( S W#‚'‚s&© S 7hA&'&6@#6€3`‡'6W'&6asWa'@Ga(  V !  © rH H       $  ( © H " ( " F (  ( ( V $ © R r " ( © ( $ " F ( (  " ©  V ! ( $ ! #6…Ga'6W6˜P6…AW#C#“&6haD#”'‚&aa&Wa'@Ga(  (  r ! "   ©  $ $  V $ © " !  $ r " ( © ( $ #&a“)6@Gaf$ S &7#66“'6f)†@P'GT†vW“#6…Ga$   "  " F ( © F ( "  © " F ! " t ( F  V r " ( © ( " F (  '6˜'AP#“&aaWaGa€6`)'6hP)Q6)a6c…˜a)" S n © y ( $ !  $ $  V $ © ( ( " " F ( y "  " $ " F ( ( © r F  F &'ˆ&C&6&H S #63&6@G7© S b†dvWYˆ)6( S b6( R b#&ab6(   ( $ " !  ( ©  n " t ( F  V  Ô " " F " v  $ " F z ¡  3ˆ'q` B © r w q " $ "  ( H  t  $ $ 7)•#&6s&&aa† R T`)&6@kuP7)&#U'6d@•#! r ( "  ©  € g ( "  H ! " F ( ( © ( $ %  ' " F (  ( '6f&6@© S @#" R •#! H ©  ( $ z ¡  3W'q"b'6 6v#†W#Tv€V © r ` B " F ( $ ( "  V ! r © "   © @A3C#'#6DE&h)aT69)6( S W#”A@© $  F — g " ! " "    ( " $ " F ( $ "  V !  V " F ( $ (  r ! " )'696ha)#h  " ( $  P66C'C#6ha)')U6…u'6…#6•)'&hpg ©  " (  r ! " " © $  ( © H " " !  i x PUt  'â X CƯx &6( „ $ 2 w © H " ( …l)6Y6˜9P˜P'a$ S ˜##†CQP'&6)#&#aˆ`f6˜G&'9g&   " F  " " t "  © F $  ( ! " H " $ ( " F ( F !  F ¡ $ © H " (  " r 9#96&6bD6‡aD" S WG@AGb6f'&a$ S n  ©  © ( $ " F (  † s… " " ( r #6aˆa)" S f'6b9P'aX© n " F ( $ F $ ¢ ¡ e‡ " 64 S &IUD¢ ˆ  e g  © t " H © H © Gh#&p'&6@#64 R 2  ( © H " 'ˆ7vC6…G)')8 © H   2 © " ( © " " ( " " ( r 6W#6aja)" S ˜6W6@H S €h6uA@#6a’aD" S ‚'&'†a$ n " F ( " ( ©   © V (  © y " " ( r n    w " 4 ! © (  r )6a@#W€6vga)" S ‡Q…†‘'6ca)Q7#W6&h#66'T'3— n "  t © " F ( ( "  ! ( $   " ( $ ( $ – " F Ò )    % # $&  %   ) •  ) &   Ơ % " Ơ ƯÊ!  D B D U b Ee" `ă E@" e86 wƯ D B D ð ï ị đ đ pw8 T I £R e86 w¦ ð ï DE`9 @86 B D B f d U X`3 CC9 wƯ ù ợU6CớQB@UDCỡ8RB@D I H Q5@9 eC9 f d U f d U F U b F CCYG@(@86 I H `5@@7 g é   pp£† âƠĐƠ ăăƯÔ @A6C6@Wc&a@6Ta'90 â F ( " V $  r © H © $ " $ F e "    $   X ( ! " Ô  #Q&6hha&`‡)#U6‘C&h6@3I#)vPW#ba6( R d6)'€V  $ " " r H  V " " $ F $ " © © " F '6( R u#W'3'6I)6( S W#d@'6Ta)" S ‡'&9P&2 R $ " V © " F ( $ "  V ! ( © F ( r n  H H " F ( "   $ 6d)a'#! y " H  V © q " ( $ – © $ € g $ " H  V © q "  W)p6'3Icu##&'W@)9'&a$ S @Pp4 S U6@Ga$ S &&•u $ © "   " ( © ( H H  " g †60 R bv S Wf#9#vh7)&#f'6˜''P)Q6)aC69@© ( V © ( $ © " H $ "  ( "  H ! " F (  © y "  " $ " F ( ( $ 64 S #vga)" S ˆ6W'&6@© S @)" ! ! r n " F (  ( H ©  (  " " F R faE)‡'6( ( $ V ( © F ( F R fWC…A6”G! S $ y " " ( r )6a‘a)" S 6c6s6b)6C6dhW#6a@WH S 3b3v#&U@'3•g n " F ( " ( " ( (  V " ( ( ©  " y $  ( © F — &6…G( S W#‡'6#&W&'&W˜6‡†u&9‘Q&6)#Sf4 S  ( ©  V ! " F ( " v  V   V ( " t H H  "   ( ! " Ô t S # & r g "  " ‡PDQ6)a$ " F ( ( ©  " ( '63…˜#6@© S @#Ya)" S f'6( R 36sH S )6'6€WPa@A9v#&&#c'6( H ©  " r n " F $ ( $ " " F (  " $ © t ( "  H ! " F ( © $ " d#6( S #h)@A6| ! " q " ( â F ( S $ © (  " 4 " # 6‘#6a)" R 64 s # "  " $ " F ( ( © $ " )Q6)a'6|@|#6( S )DI@'6 ! " q " ( â F ( % Ă y Ă $ â ( " H  V  $ © ( $ "  H " $ aGc)&'W&aˆƒ6)Q&#a64 S ( !  ( $ " H H  " y )&6a#6v&&9U3@|&6)#ap&6‡&@%P6'1I†6•64 S ( –R  ( ! " $ $  F (  y  © " ( $ B g " S r ( H  t  $ © `s&&aP" R " F ( '6fa&&'@G#u6™s&6@€&6€&WW)6a@ƒ4 S F $  H t © ( $ " ( rH  © V   $  (  V " ( ( © ỉ Ä Ë ẩ ấ Eặ 1aGầ ẫ Pạ ẩ Gầ ặ t Gs r ‡ }| `} R 2 (  " ( © 6P6@8 g " PD† a&#)‚'6ƒ@'6(  $  ! "  " F ( ( © F ( " V ( ©  "  7)W6a@A)u&‚6‡…A6##Q…&  ( © F ( $ " " r H " 64 S &Ie  ¡ r ( H  t  `s&&a$ 2  $ "   " (  r ! " " F ( ( "  H R f&a6)QdP6ha)#g6Wv#&)! Ž }| } '`ˆ¡ &  !U  x c (   6“'&hA†a)64  $ " $ ( ! " H " $ F !  F y "  " $ " F ( ( 6)))aˆD&9QP)Q6)a96U…© ¡ i¢ " 64 S &Ie  ¡ r " ( â ( #6Ga$  3U! Ă Ô Ê Â Ă !1"& P Ž  Œ ‹ Š ‰ ‡ˆ š ” ’ ƯphvpSgC ÊP1aG P ™ – ˜ X” 1…aG• – • ” “ ’ ‘ ‰  Š  Ž  Œ ‹ Š GÊ@8sQrƯƯffpSgC G ả @8sQ  bXâ g $ #&6)#&#aW6s6b)6bD6( R  ( ! " H " $  ( " 4 " $ Đ Ơ UyƯÔ t s r q p o f n h m l k j i h f de GEC@8sQrwphvpSgC™ u Pd „ p x t w Er 1aGs Ô • – ² Š ‘ E1Š a#GQUGE1Š "±’ Ÿ ž GSP}X8 ô ê Ă đ ô "xô ăƯƠ Ư ô ê Ư â Êă ằ @8sQẳ ¡ ˜  € — x1w&ˆ u vd m l k j i h f de y r p x t w ¦¦ffpSgC™ E1£SGs u c b ` ` Y W V H q i g e d GaCXGP£wphvpS6 ‚ d  ~ ~ | { z aaP}XGf r "  ! $ " F ( "   $ $  y "  " F y !   ( $  F — g  " $ © R #aT'6a6( S f&PDQ#3P&'6&'3cEPa't " F '6( ỗ U!94 B @ š Ÿ ž ž  œ › @aaCXG‰ šG•E–QŠ ²S´³a˜QŠU“G•E–QŠ w±EpphvpSgˆ ² Š ‘ ’  â QÊă à ¹ Đ Ð Ð Ï Ỵ Í aaP}XG» ’ ‘ @8st  3Ưt  H '&&&H S c)6( R  " ˜ ˆ ‡ Uyp† … d y  ~ ~ | { z @GSP}X8f ‚ ˜ — • %x–‡ ¡ $ ) x1"(§ u T F R D I H F EB 1£aG1PEGD B H H $    B T F R D I H F D B A 1£SGQP£GEC@8142   â ) &Đ 1"('#&Đ ăƯÔ Đ    â Đ Ơ  ÊĂ q p o f n @8sQh ™ c A q i g e d Pt1sQr¦phfQa6   b ` ` Y W V H aaCXGPU2 $ %!¥  ‘ ’ ‰  € — ˆ (ˆ 1w&ƒ(ˆ y¦† “ ‘ ’ ‰ ˆ ‡ „ …ƒ ‚ ‘ ’ ‰ — • ‘ "x–”s‘ y¦† ‡ “ ‘ ’ ‰ ˆ ‡ „ …ƒ p o f n t1sto " F 6( " F ( r t  " (  r ! " $  r © H © $ " © "  © " F — g r © H © $ " © "  © $ " 6T7TP6haD'#d&ˆa…l@69GDQPb'3•va…l@6b@G)QP•#6( S  " © $ ( 6…‘6sH S #6ˆ'3˜g † $ " " F — x … PUt ¡ r a)" S 9)'&6( R 3a@A96( S W)Y6&UbU! n "  " F ( ©  "  V ! ( $    H H â ( © F P&@b…A6( ÂB À@B ¿ F U@ ÁS!8 ¾€  ( " 4 " '&6s6b)69)6( R Ô Ư ĐăƯƠ ẩ ầ ặ ằ ẳ ắ ẵ ẳ ằ GÊCPt1sQrƯphfQayCá èGầEẩQẳ SọóaấQẳUGầEẩQẳ "òPÊƯphfQay ẳ ắ ẵ ẳ ằ ị í Qĩ ệ ể %xỉ Ô Ă đ "xƯ è ầ ẩ ấ ỏ ầ ẩ ẳ ắ ẵ ẳ ằ GEGầ v8õCGEGầ "òPÊƯphfQay ị í QÊĩ à ệ ầ ẩ ấ ỏ ầ ẩ ẳ EGầ v8õCGEGầ "òP ổ ÊQẳ "GE1ẳ a#GQẳ ổ ầ ẩ ẳ ầ ẩ ọ ó Ê Ä Ã »  t1stà g $ #'6D#&#ag S  ( ! " H " $ ˜ ¡ i "   â V " " F ( " ( H ©  " R ˆ)hA&€)6ƒ6ƒ6…© S #‚6( $ " H #& S '6b6ha))f7)&#T33va)" S C)'&'6gr R &6@6@'6( ( " F ( $ (  r ! "  ( "  H ! " F — g r n "  " F ( $  ( © $ ( © F y g g  y " H t © &" ¢&'@G( w ! $ " H a)U#& S dÊ&aav@â (  " H t  $ $  $ © r © V $ ( ©  "  " $ " F a@'I)6)ad'6( F4 q4 A2Ê7C@ g  |&`Ô ¡ Ư Õ Ơ Ĩ x1"(Ị É P¹ Á À ắ ẵ ẳ ằ è ặ ậ ẩ ấ wphvpSgCá E1ÊaGầ % $ " #&H S &6&64 S ‘6@&'h)I&&9‡ƒ !  ( $  " F " H  q " H H  " w " H " $  )E&”&6@P&W&6gPa@Axa#˜A'‚#7W“#a†6h'6( R 2  ( © v  V  (   " $ © t w ( $ !  © y H "  V  " $   " F w ©  $  F @'&6( S h&”a)" S ƒƒ'&6@© S @)’&C&h)T#&6s&&a$  r n ©  ( H ©  "  ( $  q " $ "  ( H  t  ( " $ F !  © ( © F (   t " t rH " ( ©   " V V   F $ ( R T)a’D&6ƒ‡…A6C$ S &7hˆ†hs#6@hPWW&‚H S 'aTxB g ( "  H ! " F Pv#&&#6( ( ©  " (  r ! "  " © $ ( …”P6ha)#hY6…C6sH S )66Avs@A&IfP)Q6)aT'6@&`Ô $ " " F ( y rH H ©  e g "  " $ " F ( ( ©  $ " )6( S W#ƒ#'6ƒD&'97P)6)aC'6‡6ˆD@A€P†'&a˜A@cv#&)!  V ! " F ( F !  F y "  " $ " F ( ( ! © t  "    F $  © ( "  H w V !  ˆ#jA@Y) S ˆ6T6hha)#uD&'9uPv#&&#W6“6’P†'&a$ © $ " H ( " F ( $ (  r ! "  F !  F y ( "  H ! " F ( (  "    F w V " " F ( (   ˆ#‘'6€6˜hA†a#6a#f#&' S T'6D#&#ap#&…A3‘P)Q6Da$  $ " 4 ! $ " H ( " F ( ( ! " H " $ y $  ( © F — g "  " " F ( ( â r 6T@ja)" S )'&W'66@â S #6&CbƯ n "  " F ( " ( H ©  " ( $  ¢ ¢ w $  " F ( †ˆ)'6@'Y)UvaD" S g6( © ( " è g r n " F $ " H #& S ( R 9)aC'6( R “&6@Gv#a#6h#6€#6ha)')f'6˜6&9‘'&@© ( " $ " F 2  ( © ( " $ "  "  " (  r ! " " F ( F (  H s P£t x … " F ( ( $  " $ "  " $ " F — g 6g6'#a)Q6)aW3gD ( â  ( "  H ! " F (  a…A•v#&)b'6‡'QP6'– © y ( $ $ © (  " 4 c6CP6a)" R 64 " $ ( ©  ( (  ( H  $ " t ( " " ( r 6a@'‘`6v&bsaf†T6)6aˆa)" S ƒ#Q&‡9@2 R n "   © ¢ Q B4 @ B F4 d @ dR V4 q Q4 @ B e7CeAA79â ƯVWÊâWC!e!I g " " ( r #6aWa)" S |'AC33¦ n H â " F  ệ ề ỉ ĐăƯì è ẹ é é ẽ ẻ @GaCXGằ ( $ ! " t )‚†qH S 'at@'qaD" S “D)h'6(  F $ © H  r n ( ! © q " " F  A|†6)WG4 R © y " V © w $ † 5.1 Heuristic Rules to Separate Queries   â # "! ăƯÔ  Ơ    â Đ Ơ  ÊĂ @8st7 ‚ €  " ( " V " H  V ˆ  † #67)W#&'W& PUs… g ©  © hPQ V F ( H © '6s6@&‘&6ha)#ˆa'b…&'6Pa$ S  (  r ! " F $ – H x " F (  " & " 30 y $ #'&6@#6f6( R 99P6f'6ha)')YpP)†˜P†&6)a#hˆ6)6(  ( © H " " F $ " F ( (  r ! " — g H " t  " t  ! $ "  ©  " w !  s6)'&'&6&6a…AU'6TTPa'‡P6…P6)‡##†•QPAu&6s6a@uz  (  ( ©  " F (  " $ © t  " ( © " ! " " t "  © F $  ( ( © V ì p R £epE`i º ½ º À£QPeE`i » U d p R VpEeÔ@C8`BCĂGÊ@pX`i ĂĐCÔeÊÊCÔÊWằ B U d B U 9 B ắ R ẵ d F V ì p R ½ d F p I D U D U d ½ d R U D U eÊCÔ V p B p H I i ¿ ½ T F p H i X@CE@ÔESGCXd @ET ĐCÔCCX`BWẳ8CXeeXB R B D ẵ F p I D B ắ R ẵ T ằ p B H  © " t †‘P#6aI&'6vs&'&IuDU! © ! " " ( $  F ( y rH H â  e g  à " " 64 S &I‘&ˆ9P'a3#6afa)" S b6(  e  F $ " " ( r n " F W&6&H S #6'%&v)6( S C6CQ…†f'&6))U6˜'f'&6)))a$   ( $ " y  Ô " " F ( "  t â $  ( ! " Ô   © $  ( ! " H " " F ( H 6p&H S  P'Pu â ! " g  DƯt " " Ă h64  e  F $ " " ( r n " F S &I‚&’9P'a‘#6agaD" S ˆ6( (  " –  V $  " " (   6˜PAsh7Wf&T#6aW'&'†a#6a@#T'6A)'#6)EshC)af2 R  $ " 4 ! " F ( y " ! " "   ( " $ " ( " " F (  6s6b)6W'6“&a$ ' " )6( S xa( R &T'6ˆ&a$ S w " H " F (  â #H g  DƯ&6)#a$ S 7#6hW'6u&uPaa$ S a&ƒ#')"  ( ! " $   "  " F (   " $ ! $   " ! w "   ( " a)Es)a$ R ˆ&6@Gv#W#&'W&9'66U@&Wa$ 2  ( © ( " V " H  V  " F ( ( © H  V  Đ #$#"&HtâG(f"a$#"F6(4@2 R #6( S &6aa@'&9P&&2 R '6˜P&6( $ " t  ( ( ©  H H " F (  "  U d p R º p B H B  'y £QPeE`i †y 8EeeXT '6€6@© © " F ( " U D U ÊCÔd Ă ( â "  6G)&`Ô  ( â "  " ! " "    w ( " $ " F ( " (  " ( $ @6@G)†T#'#6DE&h1a)aT'6T6&6bD6€6c& !  ( " F — g "  " $ " F ( ( © " ! " "   ( " $ " F ( " ( G6a33dP)Q6Da3'6d@9)'#6)EshDab'636@© S #C6ˆ&6))a$ H ©  " (  ( ! " w " V " H  V  " F ( rH   © ( ( h#W#&'W&9'6‘s''@‡6UsH S ! r h S 'Gv#W&6)†h)b4 S ƒ3#6)6v&b@H S 6a…A R h##&'@G&'&6( ( $ H © ( " V  "  q "  ( $ " " (  © !  ( © y $ " H t © ( " H   $ S &7#6•'6C&TPaa$ S a&hd6…G)†d##6)Es1a)a•'6( R ‡&6…G(   "  " F (   " $ ! $   ( © "  " ! " "   w ( " $ " F 2  ( © w ( ©  "  g $ " H t © s6a…A€u###&G( w &H S V $ " #h S #g6@€'G')†t H !  © V F ! " œ w ¡ z — " F ( " H  F xUbY'6Y&&'q†XcGƒ£q  F Q F d4 g V " ( $ r $  ( © "  " F ( $ “#6hW'&6…G)†C6c@©  A@© g " † 7i  x „ y x B " "  " b`“6)d#a$ S    Xpp $   9PA&t gx B 7@m¹ ( R a6)&gy $ !  $ ( " 6v#†W)”6@b1( R aˆv#"  V ! " © $ ( â  wH " ă g " s#c64 S )#6s'G6@)Q6Da@Ôv#&&#T4 S 6g'&hG##@7)&#Y'6( ( ! " ( F ! © "  " $ ` ( "  H ! 2 (   ! ! © ( "  H ! " F $ ©  " V @hPW62 R )†Y)6hA@%P)Q6)a‘'6f@‚#W62 R D†C6)" "  " " F ( ©  © y "  " $ " F ( $ ©  " V 4 "  $ w a( S W#6( R U'f’ffu“y  V ! " F " r g y ă x B B aaB ‡ @  p " F (  $ $ $ " !  v œ 6&9u6@aa##v6fgy V S 67)Iu6s9f6)6( S W)U@Aa6D†‚Pa@Axs#6v`™b`g`(  ( " z F ( $ "  V ! H © $ "   " $ © t wH " ( B y x B ”P6D! S '#‡6)c6v#W&6)†h)‡'3vs#Q&6)#†a)6‘a'G…'  " (  ! " " $ ( " V  "  q " " F — g rH "   ( ! "  $ " " $ © t © ( © x “y † h g  g )&… ˆ ¢ †   X©†  ©†  'd“y © x ( ! @6)© R  " F ( $ © (  " 4 '6I@C6TP6a)" R 6fa&b6…ˆG9Qy † g " $ H © " © F !  F œ w ¡ z xUUb—  v  H  '&#&&&6( S w #ts&aPt@Ph39Q…†@ƒ#aa$ S a&q#6…Gah'6u'&a$ ! rH  $ © " © ! " y "  t ©  " $ ! $   r " ( © ( $ " F (   'â ) & ợ h d ă ợ CEeâở r t $ ( $ " ( " F ( v’6#6’'6@Guu â " ) " % ƯÊ & Ơ  Ơ ă!  âƠĐƠ ăăƯÔ  Ư  g $ ( #6&H S #6†Gv#W&6)†h)c4 S 9v#a#6'%&6)#a9&'6ƒ`B $ " H © ( " V  "  q " ( " $ "  " y  ( ! " $ $  F ( F $ ( $ ( " V  "  q "  " ( P'a‘66v#W&6)†h)˜#6)! S A)fQPAfu  ! "  © F "  A@˜`s&C'6( © r (   H ©  " F   $  (  y ( © "  " ! " "   w ( " — 3&&7P@6@G)†)'#6)Esh`aDa$ " F ( "  t © 6˜Q…†@kP&&H S g†€@''@PW66…G)†f&6)#`C6hm'q&6(  " H  " t ( © ! $ ( © "  2  ( ! " Ô   â  w ! " H " $ " F ( " !  $ " !  ( )#&#aƒ'6ƒ#'&aƒ#&62  P7)&#ƒ'6Y@uP6v#W)W&˜†9&&90 g ( "  H ! " F ( ( ©  " ( " V " H  V  " t H H  ( © "  " ! " "   w ( " $ " F ( r t  " H H 6…G)†)'#6)Esh`aDa'6€v“P3P&&2 R '6D#U633P@6( $  ( ! " Ô  " F — g w@G)"†2 s q'6”vj#6@G)#‡6)3‚P6ha)#ˆ6T@3&#0 ©  t " F ( r t  " ( © " " $ " $ ©  " (  r ! " " F ( $ © HH " $ ©y s P£t &6…l)6˜'6Y7)&#˜'6h6YsW't S &&9ˆ)6)ag6(  ( © H " " F ( ( "  H ! " F ( ( ( V $ H H  "  " $ " F x y  Dyâ Ă "64 S &Ih&P6@Ga$ S &“@'˜a)" S T'6C6( S #h)W66@‡0 "  e   " ( © ( H H  © H  r n " F ( " ! " q " ( " © " " "  e  F $ " " ( r n " F ( (  r n " F ( ( " ¡ †64 S &I’&h9P'a‡#6aƒa)" S ‡'6W6v&ga)" S Y6a) B g  R Dyâ 2a " H â ! $ ( ©  " ( © " ! $  " $ © t © ( ©  © V F ! " t &Pa…’#6@P6)fYaA@G@“6@€D#†~1UUb— œ w ¡ z © V F ! 6…€'G'#†t " 6QPI@Ô6 wp E7 H D B D B Ee6 ð ï U£`7(F9@756u b D B Ee6 A D B Xe6 ù Ư 8Đ ù @86 I H Q5eÔ6 g "  â  $  F ( P)†@A9&'6g&“Pa†6h64 S )#6sD6…T'6( R 9a##Q&6)#ED'6(   " $   " ( ! " ( F ! © " F $ $ " "   ( ! "  " " F EXPERIMENTAL EVALUATION F R ‚G! S V $ V TW6@2 R )†ˆ)6a•@AAˆ3ƒD¦ "  " " ( H © – " F — g ¢ &‘Paa$ S a&T6…Gv#W#&'W&d6…G)†U'69'&a$ S   " $ ! $    ( © ( " V " H  V  ( © "  " F (   F4 q4 !€£7C@ ¡ " F · B @ 64 áU!9753  UÊ! w ! " H " $  H )#&#aT'&&&H S U)6( R  " ' e %`‰PW'”)@A@€’6“2 R g t x X  " V © " © © V " F ( ( " $ " F ( $ "  "  ( " ( © F ( r R TDaY'6C)Q#&6a)6C…A6“a)" S n  " H #&H S •†t  " g |6D#a9$ S &7#6h  ( ! " $   " " F ( 6˜&˜#6&3&6@Gv#W)W&@6@G)†C'6‡'&a$ S   " ( $  H $  ( © ( " V " H  V  ( © "  " F (  H "  " H w " F  F " F (  ( " r H  " ( © "  " #Q)xa)&'c'6T'&6s6b)6‘&hP6@#†#6d¢  ¡ $ '&6@G)†2  ( © "   'hX)6a‘a)" S f6( © Œ " " ( r n " F TD'&‡&6@GD†•A&6@#6)6ˆQ…†@‘&6@GD†j&6(  " F  F $  ( © "  H ©  ( © H " 4 " F ( "  t © $  ( © "  2  w ! " H " $ " F ( H )#&#a'6†&H S 6f&'@'&# à  ( " H t â  " t † S ¡ s # # "   $ w "  " $ " F ( ( axa)Q6)a'6T6v ƒPhA#†)  "  "  " # S "   $ w ( "  H axav#&)! r a)" S C6‘6as&'aƒ&9a###! S $ n " F (  ( ( H  $  $ $ " ! r g ( "  H ! " F ( ( ©  " " (H –  •Pv#&)c6U…WP6)6sAY'ˆ#6ha)#h6…3DQ6)a9'6( ©  " (  r ! "  " © "  " $ " F V y  DƯ " F F R ‘6@336( R ‡D! S ¡ i  V 64 R  " 64 S &Ie R b)6a'6Y&•@'63#&62  " " ( " F (  ( © F ( " !  ( g D¢  ¡ i  " 64 S &Ie  9…a@†)6aƒaD" S I@AAC69)g'E%&6)#a9$ S &7#66( F $ $ © y " " ( r n H © – " F ( ( "  © y  ( ! " $   "  " F ˜P"a$a$ S !a$&h2&6(âG(7)W#&'W&C'6g#aA6G)gÔ 6( " V " H  V  " F (  " $ © t ( © "   " F &„  i &„  # ! ( â "   Ô " F ( "  t g h)& ¡ ! bh)& %)( @6@G)†q&`†'6“Q…†@© ‰ p t„ ˆ ƒ e d } e { z y x w u s 0g m4g Qh l#£#vtr  lŽ  F !  F y " H  V © q G9u&'W@'D"  H H '&9P&&2 R '6&TP6@Ga$ S &&I&IsI@)6afa)" S U'6 S " F (   " ( © ( H H  $  ( $ © " " ( r n " F ( ( @''@P‘6@GD†d&6)))aW'6’)'9T'&6…© S sa€6@€6)3— © ! ( © "  2  ( ! " H " $ " F ( " F $  ( ( $ " © " " F " 64 S  " ( © P6…H S &€V   © ÂB@ À@B U‚ÁS!8 ¿  Aâ g |&6))U6'&6(  ( ! " Ô   ©  ¡  "  © ( t $ ( P'&Gh36sH S #6c3•P)Q6)a96@'b&‡'&aa##v6hˆa)" S n $ " " F — g "  " $ " F ( ( © "  $   $ $ " !  r ‰ p „ ˆ Š ‡ … „ ~ ‚  ~ } h | { z y x w u s pr p †lƒ £v„€ ¡Td s Qh l!#vtqo š ™ ˜ Et!— n # ! " ! © H  " " #@'#6“k#3— " F n # i &  # ! # '„ # §)" H t i h• W Ô p Ơep Ê  A@â h  „ q  ¡„ # & Š £)& q i YĐâ# H  ! $ '&6)))a$  ( ! " H " ( " F ( H `'6|H S ‡3†vs&'IC6s6b)66C)6( R Y)6a˜a)" S Y6(  " y rH H ©  e g  ( " " F ( " © " " ( r n " F ~ ‚  ~ } h £0„€ Qmd s ¡`4g fq0g Q‹o | h Œ e d } e h $ F $ ¢ 9P'a3U! ¡ e  &  h # Ô  " 64 S &IUP)Q6)a69@g#6( S #h)c&  e g "  " $ " F ( ( ©  " ! " q " $ # i &  # ! # bh„ # %)( t ( © F ( …A6fG! S c|&6)#a€$ S 7#6h”'6f&f#aa$ S a&q&6@Gv#W#& F $ y  ( ! " $   "  " F (   " $ ! $    ( © ( " V " H g fE™ e d ” ¡i‘ “ • " Ơ  Ơ ă! âƠĐƠ ăƯÔ H " t …&#†g9…a9ƒa)" S n F $ $  r p o i C'f'&'†a#6a@#’3—    $ " 4 ! " F ( 6˜h“'9c##vP&'W)"  F $ " " r H  V © "   $ ˆ)ajP6…G)†ƒ#')6)Es1a)a“ˆ)a$ S ¡ g ( © "  " ! " "   w ( " $ © $ " g ( "  H ! " F ( ( ©  " ( Pv#&&#6c…gP6…© S #9&fD3'@%A'C'6€A'%#6)6sA– H ©  " $  " $ © H © – " F (  © y  " " (H  A@™P6ha)#h“6…€6&H S #6€'6dAP)Q6Dag'6Y@k&6@G( S  ©  " (  r ! "  " © $ ( $ " " F (  © y "  " $ " F ( ( ©  ( © w V ! r ˆ#‚a)" S ˆ'6( n " F w  e @IˆY9…a9#6ah@A'3'6Y&'&6sH S )6Q|6D#ad$ S &7#6hb'6(  F $ " " ( H © – " F (   ( $ " y  ( ! " $   "  " F À Á r @ B Ư eAA6 X!dUSĐ cx)SâQ ƯdR B V F B @ B f Y q B g @ d g " " ( r #6aWa)" S p'I3  n H â  e p t! ảà Đ ê â Đ Ư Ơ Ô Ê Â Ă đ ư ô Ê0ă qQT Q ##ÊÊl0t Ê Â Ă ô Ư m4 Q Ô #ÊÊ 0t l Ê Â Ă ô Ư mq4 Q Ô #Ê v &  h # Ô  g m4g Qh e d } e Đ ê â Đ Ư Ê0ă QT Ă`â mq0 Q Ơ Ư • g md lg QE™ e k e h ” m’ l” QE‘ “ ´ “ • ” mE‘ “ w V  &&`Ô  g Ăi e h g ¢ D9t j – ¡ e  " F (  '6‡'&a$ S P'“@PCj © ! " &T#6aWaD" S '66s6b)64  © © " " ( r n " F ( " ( " " 64 S &Ijj9…a‘&W#6a”aD" S n  e  F $ $  " " ( r  " )'W3”g ˆ " F — © t " H Gh#&@© † &… H © A&6@#6”&'&6)))aƒ&h&Q7f#&H S ‘6s6b)6”G@A@G‘6(  ( © H "  $  ( ! " H " $   H   $ " " ( "  ©  © ( $ " F g  Ô " %&D6( S '&a$ S  gP4)"Q64)"7if(@©“2&6(@©G( S W#!  V ( © "  @6@G)†2 " ! " "   ##6)Est&6&6bD˜¦t  (  " ă  6s9Y)6aaD" S  Ô F ( " " ( r ¡ s • i W0” s r p #¥qi – "  #! o  yâ Ă " G A ĂEC B@ 8&  042 0¡'" % $ F D A ) ( & U Ô p &  # i &  # ! ( â "   Ô " F ( "  t ' # Ô  6# bh # %$" @6@G)WƠ'63@@â Ơep Ê i H A@â  &a$ S  W t    „ q  £„ # & Š ¡& q i hĐâ# H '&6&hA#Y6D#&#ahlaxav#&&#c3`d'6 S $  (   !  ( ! " H " $ "   $ w ( "  H ! ( " F (  ! • R V 62 R )†g6YQ&6)#SC4 S Y#'&hY#&6sA#j&6( "  ( $  "   ( ! " Ô t 2 " !  i g $  (  !  V $ @© w ! " H " $ ( " F )#&#aT31b'6( R €&6…© S #9'6W&T'&6@')6a…AU)Q6)a96( 2  ( H ©  " " F (   ( ©   !  ( ©  $  "  " $ " F y " " (   #6aChA†a#6a#b6Y&•@A6b#&6@2  $ " 4 ! " F (  ( © F ( " !  ( g  DXâ Ă i " 64 S IˆW9Pa$  e  F " " ( r )6a‘a)" S 6ˆ&‡&6&H S #6W&6)#aU$ S 7#6hb'6ˆ&WP6&&ƒ&6( n " F (   ( $ "  ( ! " $   "  " F (   " ( $  H  ( & G Q  Q  42 ) £'%  P 0I H a w © ( " V " H  V  4 " F ( r t $ …Gv#W#&'W&‡s#'6”v‡'&6…G)†d6D#&#aˆ'6W#@'#67)  ( © "  2  ( ! " H " $ " F ( " ! © H  " ( q "  a f „Xb d c H &H S ‘7)W3d&'&aa†‡@ˆDQ6)aW'6T…d&6@G( S W#W'6(  ( q " " y " H t  $ $  $ © "  " $ " F ( ( ©  ( ©  V ! " F F G! S " S  W0R s  † QE‡ B„c v g 44€ y 0¡'s u t ‰ ˆ † … g ƒ ‚  x w v  w v  Qf decBQf dg ‚ 4€ y x ¡Wu … “ 0’ ‘ s • i W0” † ¡E‡ † „c v ˜8f eBQf Xt ‰ ˆ … g ƒ g — d c … d g " j " S  T4R A ¡EC ` 8& ¥8  Q X$ F D A  Y   f b d g g r vaD" S “6ƒ6…© S #‚6ˆ'&6…l)6ƒ6Yha))9&&9ˆ@'6( n " F ( " ( H ©  " ( $  ( © H " " F ( (  r ! "  H H  ( © F s S© … „ ( "  H ! " F ( ( ( " $ " t v#&&#€'6h6‘v#aƒ†’6(    f eBQf g d c … d s PUt x …  A@Uy © s X p„ x  y $ '&6…l)64  ( © H " " 4 ( " " F ( $ " 6s6v#“6ˆ#6s S P6“#6adaD" S ƒv#6a4 S ˜'6b#hAG€sWc€ n " " " ( r n ( " ! " F ( y $  © ( $ ( $     V f eXb d c h9P'a&‡)6a€&6&H S #6T'3cg  F $ $  " " (  ( $ " " F — f @`b d g r a)" S Y6h& n " F ( h $ s $ g  DƯt Ă e " 64 S &Ie  &6…l)6˜P6ha)#h6s90  ( © H "  " (  r ! " F ( &6@#6hD@PY#@'#66'T3EP)Q6)aT6‚2  ( © H " F ! © " " ! © H  " ( $ – " y "  " $ " F ( g "  " $ " F ( r P)6)aC'6€vt $  " ( ! " H " $ 9P6˜#6)#&#a9)" R 'Ga‡6€#6& S P69#€&6…P&' S W#€6@30 $ © ( (  " n " ( $ !  ( © !  V V ! w ( " aD'C6c#h S #Wa&@W&6˜&6( S #h)x7a)" S T6saxa7)&#T3— f " F ( $ " H !  $ H © " V  (  ! " q " w r n " ( $ w ( "  H ! " F ©  Y'‡a)" S U)6)afC6v&•sUs&'a‡A@Qva)" S ˜Cc'636@GD†2 © r n "  " $ © (  ( ( H  $  © y r n p o i " F ( " ( © "  ( 6U" S 'G#6‡Pa†6h3uc6&adv#&6u@‡a)" S W&6@6#† n  F ! " (  " $   "  g " (  $ ( "  H ! " F ( ( © r n  ( © $ " w V ! ©  ˆ#fC'&6( S )D‘A@v7G@'3'6&6ha)#hYv‡A S R &‡a)" S n ! " q "  © y © ( ©  " F (  (  r ! "  r t  $  r " F '6( R sH S #6)#6a@#T'3cPv#&&#T'6ˆ6c7)a&˜a)" S 6( R 2 ( $ " ( ! " 4 ! " F — g ( "  H ! " F ( ( ( " $ $  r n $  F ( sH S #6ˆ'3“a‡)7…6W6j‚a)" S fC'™@© $ " " F — g "   $ "     " F ( r n p o i 2  ! R d&6( S #" w q " H ©  ( ©  $ H H © F !  F y e q "   " $ © ! X © $ r H  "  7)'6a@'b9…&&ƒG&'9QhDA&Ca6…Q#1”hP&'#h" S l'G#6( n  F ! " " F — g © ( ©   " ( $ " F ( (  r ! "  (  " " '3chG…'hP6@6‡69ha)#h˜6g##'6f( S '6s9c)7…6 " F ( F ( "    " !   " $ " F ( r t " #&h6Da”'6dv”'h†q@P€#&6)" S C‚'6‚'&6( S )D"  " t © ! $ "  n p o i " F (  ! " q " F 6@3b'6( R ‘H S c'6WG9'&a$ S t " F ( F !  F  R $ #" S 'D)6W#†&#Q#hcQPAF n  F ! " (  "  H "  "  "  © "  g " uvP)9…f'6€vƒP6hha)#T†ƒs'“#“D&9PsY&6ha)! " F ( r t  " (  r ! "  " t rH © ! F !  F y (  (  r w " " h#T)6( R T)hh…6hˆ#&76)aY6C@˜G@'Y'6Y6@6˜6C&’&6( S H © "     " !   " $ " F ( ( © © ( ©  " F ( " ( $ ( $   w $ @af4 S r fQG…'‘'6”6s9f)hh…6hY#&76)aT'6$ S af@'C)v š © ( ©  " F ( F ( "     " !   " $ " F ( ( ( ( $ " " $ © t © ( ©  " F aA@G@Y6( % " " F  ( © F R C)9…‡'6( R C…A9˜ " '#&&'Dg)&6x@G…' " H H © F ! r ! ©    w © ( © ! – ! "  $ © As##†a‚fPaa#67'”3UP)†'W6m1mP7 S W@G@A€&“6sa$  " $ $ "   © " y "  ©  $  F ( B g ( V © ©  $  " ( "     w " !   " $ " F ( ( © © ( © )7…6x)#&76)aˆ6@gG…' © $ € gc~a&66)6v#" g " $   " ( @© r ( ! " $  © r ! ©    y ( $ " R ‚`s64 S )a’A@‚)&6pP&H S #64 " ! $ "  ! "  © $  © ( © R ’)64 S a)6˜$ S &##6ug&uG@„ g H ©  ‚#! w "  $ " © $ " $ © t © ( ©  y "  " F y $ " !   " $ " F ( r D†aW6@‘#a'G@IPDQ#3Pu###&76)a‡)'6@”v€ˆ& © V "  H ' g ( " " ( B " F ( "  " $ © t w ( "  H ! " © H r "  © ( " !   " $ © $ © " © PD'6)6v`•'6|)Q…a@Axav#&6…a)Q9f6•#&76)acIb6…b0 w a( R ac7@6h€P)7…6f)76)ah‚#h7WuC'6ˆ1•##&8 $ "     © ! "     " !   " $ © y H "  V z i € " F ( B g $ "  w H @&'D)6)'6)6v1B F ! " ( ( " " ( " $  " F ( F (  " " V " $ © F   V R Wa&6Y6’6s9‚P6)W#T'˜&6( S W#! " $   " ( " a6h6)6v#@2 R #h7W9Đf H "  V  z i ¡ "    z " !   " i )hh…6uˆ#&76)7j&6@P&&'€  ( © !  H   CONCLUSIONS " " F y 6)9A| S )aT)Q6Da1D'&aT'6@2 R ( " $ "  " $ w " H  $ " F (  A@T)Q6Da1D'&a@2 R © "  " $ w " H  $  à  Ưt iÊ $ ( 6sH S #6b6v#a#6h€&@Qu|a&6…AW)&'69Pa$ $ " " F ( ( " $ "  "  © € g $  ©  V ! $  F ( $ F " 64 S &Id7G@3'6|ha)#hC6P6$ S aI&uDQ6)a66)90  e g © ( ©  " F ( (  r ! "  (  " ( ( $  "  " $ " F ( " " F " H  $ ©   © &&a‚’'&7PAF g " V  W&6( ( $ ! #j6hha)#g'&7…W#6h7‚P6(  (  r ! "    V " r t  " " 64 S IbP)© R  e y ( ! $  F &'6( " F — g " '3C64 S D#6s'G! ( ! " ( F " F ( H H © $ V '6†&3W62 R D†ƒG&'97P)Q6Da$ "  F !  F y "  " " $ © ! " F ( F ( " ( ! " (  F ! ©  $ " V  R “a@P˜6m6s9€64 S ))6&D6…€4 S k&‘#W&6( g " V  ( W&6ƒ&6( S #h)x7a)" S T6saxa)Q6Dag&c&7…'#†˜h#6$  ! " q " w r n " ( $ w "  " $    © F " t r  © " ( " t " F ( V R CD†YV S ‘'6„64 R rH ( "  "  "  s6v#'#†#'& " !  F ! ( $ " t " F ( $ ©  "  © )'GI#†•'6|TP'&@€V " F ( y $ ( " V  "  q " " F ( 6##6v#W&6)†h)d'6f1IW&6c&6( S )D17a)" S 6saxa)Q6)ad6( B g " V  (  ! " q " w r n " ( $ w "  " $ " F " $ © ! " F ( ( aP'6b@'9&9&7vs6@Aaa@P6)#hCW&6€&6( S )D17a)" S n $  (  y rH  © F $ " $ © " ! "  " V  (  ! " q " w r r R &6@6‡@'“hdD&9u#9…6€a&© R $  ( © $ ( 2  F !  F y $ " $ H g $ " ( © !   "  ##6…P&P6h”&6)#&#aT6(  ( ! " H " $ " F " V 6W‡( S ‡)6sA“6‚`s&' " (H – ( r ( H  t © " t " F ( " F  g "  " $ " F ( r t  " ( " $ R )†YV S ‘'6”#t‰P)Q6)a‘'6“vhP'64 S )6C9P64 R " t )†YV S T6“‘aP6D'&T'6“6s9‡a@P6)#hhs6vP'&&aTW&6( " F (  " $ © " !  " F ( F ( " $ © " ! "  rH ( © ! –   $ " V  $ " V  ( #W&6“&6( S )D17a)" S uG@6‡6f9P'a$  ! " q " w r n H © ( ( " F ( $ F " 64 S &IE#6v#W&6)†h)C)a6'4 S ‚&“P&h S C@b9€  e y $ ( " V  "  q " ( " $ ( $ –   "  ( $ $ © $ V 64 R ¡ † y† $ $ "  q " — g " (  $ ( "  H ! " F ( ( ©  " V a)6h)ƒpˆ6&aC7)&#‘'6C…’#W62 R D†‚&6ha)#h "   (  r ! " r Ä @ v¦ig ¦ CcIB r I V F ¦4 @ B a c B R d q B Q f F d V B ĐCSvAdĐHHSâEcGXeâQ I Qq F 'âIB H D G @ dye©c8 dR f B Q e fY Ư d @ UdR  à  Ă Xâ iâ " 64 S R ¿ F &Gd @ q @B ƯS!8 f B Q g eâƯ!r F w B @ 64 SU!Ư753  Р#  # C!ÊƠ7( ( V vƠ!Ê)( V Đ 7( Ê!" $ A Ă !77ÊƠ!Ê7( ( V )Ê# u W #  # $ # $ # " ( h  Р# ¢ # W "  ( H ÊCfĂ IRgC!tsC!ÊƠ7( r!73 V 7ÊƠƯ qF V )T!ƠƯ BÊƠ â@ Q  Р#  # (   p Đ Ă  (  p Đ Ă  ¦ ¢ # A ” ‹ P “ P ” H  Рà #  # ÊƠ7( Ơ9Đ 2ƠR)T!ƠƯ Ơ9i)Ê# V Đ Ê)( Ê!" $ A Ă !7gC!ÊƠÊ)( âăƠ ƠÊĂ Ư " h #   ( Đ Ă  Ư " Đ  ( $ # $ # " ( h ¢ Đ #  # ( Đ Ư Ô Â ( $ R T#! "   $ w "  " $ " F ( axa)Q6)aT'6“@A6CD6@P6@f&CsEa@P6)#h’)#6C9P'aƒa&© © F ( " ( © " $  ( y " $ © " ! "   " " ( $ $ F $ $ H r Ä @ v¦ig ¦ CcIB r fY I V F e ¦4 @ B a c B R d q B Q q Q @ P @ d ĐCSvAdmHSââCƠyƯR I Qq F 'âIB  "   V  rH ( #Q…6W&ˆs6vP's'&aU9#€6@2 R © ! –  $ $  " ! © V w "  " F — g ( "  H ! " F ( ( ©  " " (H –  aD†'3IPv#&)'6p@TP6)6sAA@P6ha))3†c6dQPA3a&90 ©  " (  r ! "  " t ( "  © F " $  w " F (  aD'6“H S 3˜D&'9b#& S C6@'&W&#Y6T&)6a)†c&DQ6)a$ F !  F $ " H ( " ( ©  V  H " ( " H t © " ( ( " t $  "  " " F ( '6ƒ V V ! ( " W#‡6`) " t  $ © " !  F ( $ ( $ " ( " $ " F (  " ( R c)†YV S ƒ'&a@P6)'&‚6s96#6Ta#'6g#6)! S  g " 64 S )#6sD6…€4 S k&gW&6d&6( S #h)x7a)" S “6( ( ! " ( F ! ©  " V  (  ! " q " w r n " F $ ( " 6v#†W#b'6‘#h S 93@#6v#W&6)†h)" R U)a•6'U'6Y1B  V ! " F (  "  ( $ " y $ ( " V  "  q ( " $ ( $ – " F ( $ H © " © $ ( $ " ( " $ " F a@b6@d6)6Ua#6( R u6sH S )6U'3u##64 S ))6&D6…•)Q6)axav#&&#! $ ( $ " " F — g $ " ( ! " (  F ! © "  " $ w ( "  H ¢ ¡ † £! y† 6( S #h)x7a)" S W6(  ! " q " w r n " F w ( H  $  F !  F y a@&'d&YG9%&6ha))•( S '6s9W&6&6( S #h)xhaD" S 9a$  (  r ! "  F ( " V  (  ! " q " w r n "   w ( "  H !  av#&&#WA@ƒ&6ha)#hg6s9bW&6ˆ&6( S #h)xhaD" S Chlaxav#&&#! ©  (  r ! "  F ( " V  (  ! " q " w r n "   $ w ( "  H $ " V  ( " $  $ " r n " F ( $ F $  R )W6a'a)6ua)" S g'69P'aƯt ( â  V  " F ( ( vA&Wƒ'6”6W" S Y&ma#6€3‚W&6j&6( S #h)x7a)" S n  $  $ © " " F — g " V  (  ! " q " w r " V  ( W&6˜&6( S #h)x7a)" S ‡axav#&)‡6“8 S '6sc9##&6)" S ‘a$  ! " q " w r n "   $ w ( "  H ! " F ( F F (H € g $ "  n "   "  " $  )Q6)aˆ'7)&#W6@†3@2 R © ( "  H ! F ( t H ¦ ¿ F fBQg &Gd e©¦!r ¿ F B@  U!Ư7653 D G d @ UdR ỗ f B Q e©c eAm @ B À Á a b $ Đ   Ô  Ê Q V Đ 0)` )3    Р W Đ   ( Ư $ Ô  ‹ Ž — „ U ) „ !73 „ —'0 ƠƠ @ ă9X0)ƠÊĂ  )3 Y P Y # V )Ơ ' &1 H ăQ7ÊÊ TR7SR79" $ A Ă )3 U Q Â Đ Ô  P P H   РH ăQ7ÔÔÊ IE7GâEC!9" $ A Ă BÊƠ â@ F D  Р¤ ¢ # A ‹ P ‹ P ’  H  Р  $  ƠĐ Ơ! $ Ô Ơ987# Ư " Đ  ( ¢   ¢ ¢ # ¡ Đ   ( Ư $ !Ơ)ăâ)420)ƠÊĂ  '&ƠƯ Ê!Ơ!Ơă ÊâăƠ ƠÊĂ Ô %  $ # "    Р Ô    Ă Đ Ư Ô Â " F ( $ ( " '66DQD! S t R 3)†‘V S ˆa@P6)˜6s9f#'&aƒs&6@€&6b&c& " t  $ © " !  F ( " !  $ rH  © V   $  w  © F " t $  F ( y ( " V  "  q " 7P'#†ˆ&'6dPv#W&6)†h)Y$ S &7#6˜'6d&m#'&'h)Yb‘€   "  " F (   "  © H  q " $ © $ g $ ( " #6DQD! S t " t  $ © " !  " F ( F ( rH  © F $ r "  " $ © " R c)†‘V S ga@P6)‡'6”6s9“s'6…Aa”aDQYa@P6)! w "  $ " V  ( " $ DC)W6‘a'†a)6ga)" S @A6C)6@Ga$ S &&Y64 S A‡'3Cva)" S n  $ " r n ( © F ( $ " ( © ( H H  " – " F — g r V ì p R £epE`i º d  '© V ì p R £@QE`i º º vs#W''##6( S &6aa@“%2 y rH " V © y $ " t  ( ( â  Ô $ ( " 6)QG! S t R |)†‘V S fa@P6)d@2 R )W6C&6( S #h)x7a)" S h@G6( " t  $ © " !  $ " V  (  ! " q " w r n H © ( " F (  '6ˆA@haxa)Q6Da7axav#&)6fP'adU! © y "   $ w "  " $ y "   $ w ( "  H ! " F ( F $ ¢ g © V F ! E6…€'G'#†t " w Ă z " F ( xUUb'6q& Ơ  ¡ " 64 S &Ie   ¡ o (  6yâ Ă X " 64 S &Ie  2  $ "   " – R t&a6)qPAs w  V " F ( h7W9'6YˆPa'6…d6v#W&6)†hdU#'&6@G)†W¥ S #'&  " $ © t " © $ ( " V  "  q › g $  ( â "   Ô " H ! ( © F ( $ "  @A6b#&6)" S “P& S 37#6v#W&6)†h)" R c)a“'#)aC'6ƒ`B n  "  ( $ " y $ ( " V  "  q ( " $  ! " $ " F ( g "  " PDQ6)a$  A@bv#&&#W##`)†'#v6@6ˆ6…P&' S © ( "  H ! " " ( " t H ! (   ( © !  V V !  " $   " F ( W)€#a†6h9'6C6( " S ˆP6)Q…3v@PAs'&ab#! S 76a7&UU#vhc64 S )#6sD6…34 S   © " F "  ( © ! –  $ "  (  ( $ "  " ( ! " ( F ! © f 64 g " ( © F ( F $ $ ( " V  "  q " " $ " F @A6kP'au6v#W&6)†h)ca#'3— ( ! " ( F ! ©   " ! " q S )#6sD6…34 S W&YP6( S #h)" $  r &‡a)" S 96Y#9Ys#Q&6)#†a)63av#&&#Y'ca•)Q6Dab'6( n " F ( " F rH "   ( ! "  $ " "   $ ( "  H !  © "   $ "  " $ " F @2 R " V  ( W&6“&6( S )D17a)" S Y6(  ! " q " w r n " F $ F $ " 9P'a64 S '6˜&b@'b6''3d#6)D! S t R 6)†‘V S 9v#6)" R – " F (  © t ( $ – " F — g $ ( " $ " t ( " w R h92 R   y |&6ha)#hG&6ha)')˜G@•#Q#&xbP6f6v#a#6)6‡D6a@Y6(  (  r ! "  `  (  r ! " © ( ©  H "  " H w $ ( " $ "  " 4 " ( ( © H " F " H  F y r ! ©    © ( ©  H © ( ( $ ( " $ "  " 4 " V &&'9AvD6hƒG…'d@G66v#a)6#6)W62 R w © " F ( a@'6€&ƒ#†6Da#b&6) –R   " t  ! $ "  $  ( ! S &6( S #h)x7a)" S •'6#6@AW#ca@•3†6v#W&6)†h)Ua)'6f1B  ! " q " w r n " F (  " ©  V ! $ H © " $ ( " V  "  q " " $ " F ( " F (  6Y'&a$ S P|@PaC&'@G%@l6v#" S Pa‘ˆ7˜#W62 R D†bg&6@© S © ! y © ! $ " H t © ( H ©  ( n " $ © ©    " V 4 "  $   ( wH ©  " " ( © !   "  y $ ( " s#ˆ6…P&P6h|#6DQD! S t y " ! " œ g " v  V  (  " $ © t © ( ©  " F ( ##fpP)#&W&6a'G…'U'6I@2 R w " )6Y@Pab&'@G'&7#$ ‘"YG6@'YG6)" R 6h R ‘`s&&'&aa†b6( © ! $ " H t © ( ©   y s r ` B F ! ( © t F ! ( " r ( H  t  $ $  " F x 9 rH " ( â V  q   © $  r s#6…€hP6‘&ja)" S ˜6( R d1sh&6)))a$ n " F r (   ( ! " H " † " © ! " x R ˜a$ S P)‚g 2 R " ( $ w ( "  H !  6saxav#&)gA@C#g6@3`D'T&t © ( $ ! ( " " H  F w © ! " ( ( " t © $ © F "  " $ " F ( y $ " $ © " !  © ( ©  " F ( @#3)6a)†b@A)Q6)a9'6h##a@P6)'&G@c'6€&6s6a@A@'6(  ( ( ©  ( © F $ ( " 6DQD! S t " t  $ © " ! "  " F ( (  $  $ © " " F — g $ ( " R fD†YV S ˜'&aP6D#Y'6€6‘" S &jaP6‡'3‡#6)QG! S t &6( S #h)xhaD" S 96sa1av#&&#Y'#‘&6@# S  ! " q " w r n " ( $ w ( "  H !  © ( $ !  ( © !  ( © F ( …A6”9P'af&1#6#6T'6( R C6sH S #6'6Pac9t F $ $  ( B g $ ( $ " ( " F $ ( $ " " F ( F $ ¢ w  e g $ ( " &I#6)QG! S t w #gj ! " g $ " ##9$ S 7#6hC'6˜6&99v#6&a'#! 2   "  " F ( F (  ( " ( $  $ 6.1 Experiment 6.2 Experiment $ " V  ( #W&6j&6( S #h)xhaD" S g6‰P'a‘6@AdGs'6u'™A##a$  ! " q " w r n " F ( F $ $ © t  4 F (  ©  ! " " F — g $  " ( ! " H " $ " F ( '3U#9P6ƒP6)))a6˜ˆa)" S %P6c'6W6@2 R )†€A@##&'t r n H © " " F ( $ V 4 "   © y $ " H t€ x v u W9X©t w © (  " (  r ! …G‘P6haD'#9'6~64 R WV S #! " " F ( V $ H " F ( $ ( ! " H " $ "  " $ " F '6U6D#&#a3)6)a9'6( g $ " V " F ! $  #)W#'Ga9'&'6s6a…A|7)6)EsT6s9•64 S )#6s'G6@I)Q6)aÔv#&)!  ( ( â  ( " "   F ( " ( ! " ( F ! © "  " $ ` ( "  H " F ( 6‡&u#&6)" S YP6…laGa6T#6( S #h)T#6‡'P)†''6‡&  $ "  n  " ( © H $ © ( " F (  " ! " q " " F (  © y "  ©  " F (  " t  ! $ "  $ " P†&6)a#U#&H S C&6&6bD63'6fa$ S #&6)" S W#b'6b66bD64  (  " " F (  $ "  n "   " F ( " ( " rH S $ $ " ! sH –R a#)#! S ’6'uj $ ( $ – " ##31)†ƒ&6@G)†2 " " ( " t  ( © "  w "  y )hEh R U D U g @ÊCÊÔd  A@â U d p R £`5eE`i y $ " H t © ( ##&'@Gq31( º ˜#Q&Q7&ka)" S “&3‰7  Ô â $ "  H   r n $  F — g " t )†‘V S ˜a)" S ~xUb— r n œ w ¡ z o  " ( P6 2  $ "   " –   V â $  R ha6DQgP'&h7WC&Ey Ơ " 64 S w  e &I”&”9P'ava)" S ”'##aT3c#'&6…G)†h&`PPQ&  F $ $ © y r n  ! " $ " F — g $  ( © "   ¤  "  H w  ( &€@'ƒƒsk'c&G”&'&aj© $  (  © y " H t © ( " H  $ V 64 R a)" S n r &6)#&#aj˜&  ( ! " H " $ â $ y  64 S &Iƒ& "  e 9Pagfva)" S “6'h'3{64 S )#6sD6…j6( F $ $ © y r n ( $ – " F — g " ( ! " ( F ! © " F $ ( ! "  $ © ( " "   " F R f6))†av#6)EsT6( 2  ( H ©  " " F ( ( " $ "  ( " ( R ”&6@© S #'6cv#a#6Y6T6s S $ w ¡ z — Ubi64 R )6D" S uv#6)EshC31‡P6Da'#j¥%e7CS!8 V $ "  n ( " "   (  " "   $ ! "  F Q B @ B œ ¿ g @¥ … &“#99W@G6&˜6h#1s S Pˆ&6)! S a#! R  "   $  $ V © ( $  F F (  "  w n "  ( ( $ ˆ &6&6)a#hƒ#&@G)C•g ˆ ¢ 7" … )aA@G@˜&ƒ&6@€&6#ˆ`s76D#&H  (   ! $ "   " H  © ( " „ y $ " $ © t © ( ©    ( © V  ( $ " r (   ( ! " w " )a$ R U7)6v#9'6W&WP6@&6#Q7&ˆA€Pa$ S ( q " ( ! " F (   " ( ©  ( $ "    ©  " rH "   s#9W##†9QP'F " " t "  © $ V © ( $  F F (  "  w WG@6&'™6h#1s S PmAf6h9¢s S Ut##&6)" S n n "  © F (   w n › g $ "  ( " "   ( v#6)Esh˜`2 R © ( â  " F ( G''6&6s6a@'6( @Ơ  ( ( ©  ˆ w s S PTA@6h9Â& S P#a$ S n "  â F (   w n "  " " u Ư F $ " $ $ â H R ƒ#aa@l)! $ V © ( $  F F (  " W@G6&”6#h I q4 @ d Ê7CƯƯx q A2cG7â7ÊU@ g D F4 F d4 q4 q y ¢ Dy ¡  e ‹y ” ‰  ‡ ‘ c” €&&H © V H " g 7Xp †    g „ r "  " Y˜)6†) %€&&H g © V H ! y g  Ž ‹ Ž b g†p‡ ‚–@‰ ' ‰  p aq “ AŒ ” ‘ ‹ Œ ‡ “  @R g „ g Y'h % ĐP Ơ ‚@G‚Ž $ " ©  y  Ž ‹ Š ‹ • #@A†p‡ ‚x7AŒ  •  A@faDa&ti’y © ( ( " H $   g g ’‹Ž Đ hD7) Eăv Ă ÂG)C  Q Đ Ơ h) ăƯ  'p @Q  ‡   B g $4 " 0$ © r4 T`'#6)3a)" g %%h y  Ơ Ơ Ơ g ‡  g |@I•1w g © — g p g hpp 2ƒ y E †    B g $ V © ( $ W`'#WG6&'F 2 ă  X C y E Q ¤ ¥ 3)S)‡ ' (‘ ‡  ' b    yXC w " a)† ¢ " † $ " ©  y E V )''b4FU y "   B y ©  '&761†7l62 R &@3¡  H © F ! © " $ " ă " $ â t â ( © „ G6@#a#faA@G@y y  § ” § b%4321)‡ 0 0Ô Ơ ' (   X w y ˆ "… ˆ …  … R w x „ w ă UC193 P Đ P “ ’ g " ¥ vX" —† … ˆ  B g ©( ©   "(  r4 ! &1'7G@'P6ha)#" P  Đ Ơ ‡ ‹ •‹Ž “    … ‡  â  Ă ă G     ) ăƯ 'Ô Â g  ©  © ( i 2 (  r ! ›  " ! ©   € g i › £EG@AGv”6hha)'d˜##'@hf'EUf€ ˆ † D&… ( – " " t ( $ ')#†T6U#" S 6v#$ S 67)'#6&a6)†TG@  ( ! F ( y " ! " ( $  $ "  © ( © " © '€h6jP#Y@'Y)vY7)&#ƒ'3‚PD7@6h˜)76)a€6( © V (  " " ( $ "  ( "  H ! " F — g "     " !   " $ " F F (  6&9ˆ&6( S #h)‘a)" S €&T'&6…G)†v#! R 3)b'6YA@vv)@&6h  ! " q " r n   ( © "  2 ( $ ! " F (  © y r ! ©   H © ( ( $ ( " ( "  H ! " F — g © ( ©  " F G@636)9v#&&#f3UhG@C6( R f#'#6&a6)†'6c'€‘6( " ! " ( $  $ "  " F ( " â â V  g ' ‘œ ˆ r ( H  t  $ `s&&'&a'†a#6C'69'&GD6cD7@6hT#&h6Da'3Uva)" S fv#&)!  $ " " F ( $  © ( " 4 "     " !   " $ " F — g r n ( "  H Ư Ư  ÊƯD Ô F F d Q q B V GÊSƯ cƠr HhSB & €fHd R d @ r F R q V B XeĐ D B @ 64 U!Ư753 g " ( $ ( "  H ! " F ( 6sacv#&)C'6g˜PW6@2 R  " V ¡  'c&'Q1'b'Yè © $    © B g › g  B g " !  " i © $ © " $ © t © ( © &1'#&h6DhWc‡a@AG…„ g ( © …“ S 64 Ž ‹ ‚Š ˆ  † …£s… g "     " !   " $ " $ © t © ( ©  " F PD7@6h#&76)aTaA@G@'6( R T#&h6Dabv#W#@A@€V " !   " $ ( " V " © © w V " ( $ r $ " F ( ˆ#6hc'6~64 R V Ơ ` b Ô 1aĐ b 2  ( © v  V  (  H © t R “&6@#W&6hp@AH  A@A‚f††A%& ‡A%ahQ g © y  r g ¡ g x y  g œ y F $   â â ộ  a&6@'WCU! $  â  V Ă Â "  " $ w ( "  H ! )6)axa7)&#T@2 R 6hha)#  (  r ! " g $ " V  ( #)W6€&6( S #h)x7a)" S n  ! " q " w r ¢ 9t ¡ ( ! "  R ‰)#Eu› Ä  F4 d F d €9© G!F H © ( @G6( ¦ F d Q q B V G%ÊSƯ !Ơr amev& HPXeB R d @ B r F R d q V a&6…AW’9t $  â  V Ă Â Ă  A@~P)Q6)a~Pv#&&¡ © y "  " $ y ( "  H  ÊAĂEU!964 Ô F D B@ gvr@#6@Ga$ " ( © ( r " ( © ( @#6@Ga$ g g #$ † g b @ ă  Q 9Œ p)7” P© IY”  H “  ‹ ” g  7A&&g`@#6…© y ©  H y w ©  ! ' “ “   Ž‹ Ơ  ă ă C  Š ©D• 4“ a‰  x‹ 5 Ž 6D” ‘ 5p   BÔ X ”  Š § … A  §  g  ©  © ( i  (  r ! › © ( â g i  Ê@Ê75Ô  %G''G7&6ha)YG@EU y  Ž ‹ Š ‘ p‡ ‚6¢Ž    Xpp “G6@#hEh&6a)IATg')'ue‘gA@ˆ'hAY„ F ! © " i g  4 " z g €  © " ©  g „  © i g g hXC %#!Ô y $ " Đ  †   `7#Wa&'6WWg)@&6ug'c7'ˆG@„ B g $ V $  F  V V œ r ! ©   z  © $ â x â ( â frEg#$2)v S 6aDC'gA@'%#&hf'dAP#că ( " „ g y  © y © V " H  € g y g p y ( $ "   ă g p g g ¢ ¢ h† 1ƒ 2acSY4¦‡ (‘ ‡  W`|&6s'#! ` b Ô Đ ` Q X Ơ '  B g 2 (  Ơ y E â  €'&hr R &6@6b#& S ( R )†YV S '6( R “&6@€&6#" $  ( © $ $ " H " t " F 2  ( © V  ( $ b " ( © 6@G4 S #A‚)''EgAˆ6&'h`77a6D6@G@dAg ! ! € g H H " ¡ g ¡  ©   © F i w r $ ( " ( © ( â  z ` Q X Ơ ' SY) (‘ À Á r @ B F4 d ¦ eAA7€9© r #" w ( © ( $ "  " $ w " H  $ g g  r " ( © ( a@GaC)Q6)ax)&&a#$ Eh@#6@Ga$ ¢  r Q B4 @ B Xe7CS!A6 "  " $ w " H  $ )Q6)ax)&&a„'6( " F % n  H ©  w ( " 2  ( © V  q   S ˜P" S 1aDa$ R ˜&6@€&hP6©  " $ © t w V © ( $  œ g © H © $ 2 z #aAxˆ@G6&†h6vIAg ' (  " ă H â !  a†#c|@P&'D#|†‚#7gf)hh…6u1)#&76)h`)a@AG…„ F ! " — g H "  y "    z w " !   " i w " $ © t © ( © g © ( F " y g i  hGa@6#g'†”A@A‚|'AP)v1A#|’V †&#@C‘œ © y  p g ¡ y " r B g x y Ÿ$ ž S žS  ! © œ g † s… ˆ † † Ds…  • ‡    XXC     z g © ( F " y g i  hh…6uA7Ga6h#g††“''P)v1A#|’V †&#@C‘œ © y " r B g x y Ÿ$ ž S žS  ! © œ g ˆ ‡ † P…s… r (  $ "   1&a6DQ&'  @#s &YG@P6ha)cDQC'W'&6( S )u  â ( © „  " (  r ! › "  p o i  ! " q  ˆ ypp ‚&f#&6v#6dA@(—e4”  yHH © œ " ! ( " z g R ‡ ‡ E g V   g  © y © VH F“teQ'|@€&H ” Š C Š ‹ )“ 6GxŠ " F   ! ! H )'&#ƒDv&'t % g ¢ " h† y £† ¥      ˜ ¡ † pU† D¢ y7   ‡ Q g $ V " ( $ r $ (  r Pp)e#W#6h6ha)!  ‡ Q p)d” g " F ( 6g9( S 97P†a$ 2 $ © "  g g !  g 0 ` ˜  ( ( 6@2 †6( bb…%` %6a7F §  rR Š  ‘ f£‘xUb—  ” g œw ¡ z g7" % vv'Wgvx Ơ Ơ y r â  V ¡ 2  ‡ Q  p)i” ‹ “ ’ Y)“ 6GxŠ E § ” ŠC Š‹ g e g œ y v ( © F ! $ " t H  i g é '‘A6@AGa6)†&&h'‡€  ‡ ˆ  † PUs… " D'Y© R “&6h6Da#CP)&#'D7†x 2  (   ! $ " „ g "  " F ! i g  ¥‡ “  f‹ e'p‡ g  F ( " 7'6)WV 'g%âV#"&Hhf'gygdpA@â'yP4sWV@âAFhi'gTAyP($#"căă g p g g  " Ơ Ơ ' Ư ( E ` b Ô Đ g "4 V  © y r4 " F( "$ © t ©( © 1ˆ1at6@W˜A@Ava@#'6Ca@A@G@' y $ # S a@G|&6@P! S Pc)&'F R C64 S ( –R ( © ( $ y  ( ©  " " F  " S ' g  Ž ‹ Š ‘ Ž p‡ ‚6s )‘ ” Œ H H  œ w © &&fxb#G4 g |@Aa6@ S A†”A@|6a2 © F $ © i g i  © y F (  g @%h† 6 ‰ 6” ‘ y  Ơ Ơ `|6hha)'#T6b`( R aâ R DƯaAbP&'t B g  (  r ! " " © $ ( $ y ¢ F $ – H y r " F ( v)Q“6@'#&x)&'@6@ " H w " H t ©  © y ` Q X hSYă r " !  H )&t S ƒA@f#64 S @'&ap@G&&W&Gf@2 R   © $ " ( ©  $ H © (      © ( t y ¢ REFERENCES "  " i w ( "  H ¡ )Q6)7`a7)&m@2 R ¢ y© ¡ g " V  ( W&6g&6( S #h)"  ! " q w r 7a)" S n " F '6( 2 R $ ( ! 6@6)â R  yâ Ă ( $ ¡ Number of Buckets Number of Buckets 8 Query Execution Time Query Execution Time Server site Network cost Client site Client site (C/S) Server site (C/S) Single server ... Pfr R )#†a’6W&6@G@''f8 S ''#˜QPA{P''˜u  ! "  $ ( $  ( © ( F " "  © F " 2.4 Storing Encrypted Data y 2.3 Mapping Functions 2.2 Identification Functions ¢ y …X £( ˆ  &6s6(  (  " #''&6s6a@''d†f#€%#6(... l7&''&fP''c†&6)a#hW&6)#a•&''6Y1B  ( © H " H       F " t  ! $ "  "  ( ! " $ $  F ( IMPLEMENTING RELATIONAL OPERATORS OVER ENCRYPTED RELATIONS F !  F y ( "  H ! " F ( G9vPv#&)c66( s    ''© s $ $... ( &6)#&#ad&Y)a6…™&6s''#”dG! S ˜‹AW!Hv  ( ! " H " $  $ " $  ©  (  ! © F i F B x g MAPPING CONDITIONS  $  " H &f&'' S ( " S †&W)C@''#h‘#Q…& H ©  y " H  V © q " e g $  

Ngày đăng: 30/03/2014, 13:20

TỪ KHÓA LIÊN QUAN

TÀI LIỆU CÙNG NGƯỜI DÙNG

TÀI LIỆU LIÊN QUAN