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*%#,7*0-4+*F#4!+`Z$4%,/ % C œ /¦ 1 ¬ 9 4++c;_%,)*K"#+A"%+*#IZ%#,) * ), *K$,7`$48 9:S,7*B6I(/()+ %   bÂZj_^Zu  b S u X \  jZ  vu V^T Z_`>acb Sed _`a /e6  @ 1  * 8EfC4()$4*#()1; * +6 'L^@?A"%+*%*2N ,) #+"#3^*]  G C /¦ 1 ® C U"%IA"%+*#IZ%#,)0E],760,7*C6+()(/N-#  bÂZ_Zu  b S  _^Z  Z  vu VT Zj_`>acb Sd _`>a /e63 @ 1  * 84!"#3^*C6+ 'LK,)353UN,)#+(/1 +$46@N * /¦ 1 ‚ >"%3 S%"#$%0%'4(/8 ËeÌ bÂaÎÍ SUT xjzCz ;C*#,)5#!%#,)0 @ ,)48V8 EbR4P ³ / } † † 1 ¼ ‚ ¦ º ¦ º32W¼ 2 º Ö ¦ º ¦ º32¼ 2&º Ö ¦ ¼ ¦ º 2 º 2&º Ö ¼ º ¼ º ¼ ¦ ¼ ¦ º 2W¼ 2&º Ö ¦ ¼ ¦ º:2 º 2&º Ö ¦ ¼ ¦ º:2¼72 º º ¼ º ® / } † † 1 ¼ ‚ / ¦ ¼ Ö ¦ º Ö 2¼ Ö 2&º 1 / ¦ ¼ Ö ¦ º Ö 2W¼ Ö 2 º 1 / ¦ ¼ Ö º /¦ ¼ Ö ¦ º Ö /¦ º Ö ¦ º Ö ¼ /¦ º Ö ¦ º Ö ¼ º º ¼ Ö ¼ Ö º Ö 2 2 2 ¼ 2 2 º 1 /¦ Ö ¦ º Ö ¼ º 1º / ¦ º Ö ¦ º Ö ¼ º 1 ¬ º º 2 2 2 ¼ Ö º Ö ¼ 2 2 ¦ º Ö º º 1 /¦ ¼ Ö ¦ º Ö º º º 1 /¦ ¼ Ö ¦ º Ö 2 2 2 º 1 ¼ Ö 2&º º ¼ Ö 2 º 1 ¼ Ö 2 º 1 × C*]5A4"2%,)6I$(7"6@V*2N`$4I46IWQ#4,)*'4*2+"##,)J;Z+6-*#E],\6,/4S>$446H%,/ *4+ 6+^'LWN*#6I"#,)'VNU'V#G,)^%I"%3U*MQB,)*!<$46@#,)C4"%3U(>"%3 4^,)U#+"#3^*  % U6@ <$46@#,)!"#3^(L>"#3 8 ËeÌ bÂaÎÍ SUT xjz"Cz RA4"#,/<1^>$46@#,) p2f$# Ô +$> Ô ® Ô p2f#7Ô¶/ ¦ ¼ ¬ ¬¬ ¦ Ô 1 ‚§¦ ¼ ® ® * ¬ ¬¬ * ¦ Ô&% ‚  «' ¦ « />3U # 1( ® ¼ 4*b#R>(/()E],/4U6+,76I(c,7!* <$46H%,/!"%3^(h>"#)3  > f p2f$# Ô / ¦ ¼ ¬ ¬ ¬ ¦Ô 1 ‚ ® ® Ö Ö Ö Ö Ö Ö ¦ ¼ ¦ ¼ ¦ ¼ ¦ ¼ ¦ ¼ ¦ ¼ ¦ ¼ ¦ † ¦ † ¦ † ¦ † ¦ † ¦ † ¦ † ¦ Ò ¦ Ò ¦ Ò ¦ Ò ,7*]"%IA"%+*#IZ%#,)06@V*2,7*<* ¦Ó ¦^Ô Ö ¦ Ó ¦ Ô Ö ¦ Ó ¦ Ô Ö ¦ Ó ¦ Ô Ö ¦ Ò ¦ Ó ¦ Ô Ö ¦ Ò ¦ Ó ¦ Ô ¦ Ò ¦ÓC¦^Ô ¬ Ô Ô +* Ö *Ò Ö ¼ , , ¦ ¼ ¦ ¼ ¦ ¼ ¦ ¼ ¦ ¼ ¦ † ¦ † ¦ † ¦ † ¦ † Ô *Ô , ‚ ¦ Ò ¦ Ò ¦ Ò ¦ Ò ¦ Ò ³ - ¦Ó ¦ Ó ¦ Ó ¦ Ó ¦ Ó ¦^Ô ¦ Ô ¦ Ô ¦ Ô ¦ Ô ¦ ¼ ¦ † ¦ Ò ¦Ó ¦Ô Ö Ö Ö Ö ¦ ¼ ¦ † ¦ Ò ¦ Ó ¦ Ô ¦ ¦ † ¦ Ò ¦ Ó ¦ Ô ¼ ¦ ¦ † ¦ Ò ¦ Ó ¦ Ô ¼ 3U3U,)()*+8 × ! 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C $&, '4 ?<+,  , 0$(&A ,2A!-L?)$, A ? g %A D'+%, 01,/DG%8A $* C 1D +A ? C + ##M "90B@+@%K?/>?)%8.@%A +44 BQA C  , 08$( 1,Q%  C $2, 14M R AD E%A ?%8A C 8*+ %EA C  , 08$( ,:0 , 0? 1*%I%8A $*++ , '$+%,.?Ag" + .?A&(., ,  +084 B].4 4O.0.?9$+"DF$ C  , /2%108fg +A , , (eq R hC , 1?A !*OM  ?  " .DG%I?  ( N>  ' 1?)%8.>4 A ? 1,^>&BZ%  "6$.44 $< - A! (.4 /.>4 @, 08$8, '0%A 1?7$." g" g?  , , 3- \ #1,2/ D 1,Eg" g? 0$(&A , 3 D'.$.A D'.4*0 0? 1*%I%8A $*S$+" ?  C .  A /4+%,  7DFA '@%4B.M @$.0 C .@B 08*DG%8AD1+44 BXA C $*)0 %I+@% ? .?A?3"6$.0  D'A 1@%4B7?)$*4 (&A!:% g  >.?AD 08$.> 4  C ?= r7?t@ uwvuBA @ €¤‰>–7Ž&˜o¶ ˜»Ž>‹§€wÁÂs  €¹Ž¢s’>‰>˜Å‘U‰ ‡ –).[¦ ¼ ¬ ¬¬ ¦_aC™ ® Ž>˜o® .˜C ›e‹EAGF  ? F ?  u @ bHF   ?  uJIuJA @ uUbÂÈGF>bÂa L‘“€wÁǘo.9—.€L€¤Ž¹€“Á~’>‰>˜Å‘U‰ ‡ –)¹    ‘|¹‰s>‘“˜o €  ‰¶ ¾ .–l‘U Æ&˜o‰—ÂÁ L  ‘“€wÁ4 W‰¶ €9– ¾ Ž>‹^¹˜oŽŽ>€ j ÁđU]Á» ‰>€ ‘|w½A.€“ÁA¢.Ž&–“–)Ž)L‘“‹WÆ —^˜]Ž]—.˜Å€ ‘Uō M \ À^Á.˜]Š‰>˜o[ W‰¶ €9– ¾ €  ŽŠ‹šŽōL‘“€wÁŽ&¡Ä€•Ž>¡Ä€“ÆŽ&‘“‹Æ  Æ..™»ÀšÁō N€  Žž‹šŽōE‰>˜o –)‰ ‡  –) ‡ ¾ €wÁÂN]Ž&‹ÂÅ€¤‰>‹€9 N ‰>‹š ˜oō —.€ ‘“’ – ¾ ‰>^ ‹ lj>˜oN‰>–“–) u W™ µ µ LK MI @ NI >2>        9   " >    >      O‰¶ÁNj^Ž&‹Ÿ Å‘“‹‹^Ž¶k‘|7–)‰ ‡ .–) ‡ ¾ ‰’‰&˜Å‘U‰ ‡ –) ¦ « ‰&‹^ Á‰>7€ ŽEŽ&¡Ä€|ÆŽ>‘“‹WÆNÆ. µ µ \ jÁW‘UÁ   ?   È K ‰&˜oΖ)‰ ‡ .–) ‡.¾ N ‰&‹^ ˜]ō —] € ‘“’ – ¾ ™ ÀšÁÂ. ŒÆ.ˆ‰>˜oŒ]‰&–“–)§€wÁ ‰&‹^[€wÁ   jÈ ˜oō —.µ € ‘“’ – ¾ ™ µ À^Á Ž>˜o.˜ ‘“‹ jÁđU]Áˆ€wÁž’‰&˜Å‘U‰ ‡ –). ‰]——‰&˜ÇŽ>‹§‰E—‰>€wÁ‘“‹ €wÁÂNÆ&˜o‰—ÂÁ ‘|žŽ>‹Ÿ ‘|Å€¤.‹€ L‘“€wµ Áˆ€“ÁŠ’>‰>˜Å‘U‰ ‡ –(»Ž>˜o.˜ ‘U™“™ ¢.Ž>˜s‰]ÁŒ Æs–)‰¶>‘“‹WÆE¢˜oŽ>à µ ‰4‹^Ž¶ µ µ ÁŽ>–(€wÁ‰>€¦ –)‰ ‡  –) ‡ ¾ ¦ « € ŽÇ‰[‹šŽ–(‰ ‡ .–(] ‡ ¾ ¦ > ‘“€H «  ¦ > ™ \ ? Ž¶.–)‰ ‡ ‹^Ž¶ ` ‘|•‰ ‘| .‹šŽ>€¤ ¶ ‹^Ž&€  ‡.¾ CfL% ? ? C @ ? F @ +@ A ? I –) ‡.¾ ‰Š’‰&˜Å‘U‰ ‡ –)k¦ « ‰>˜]N‰&–“–)»u v  : W™[À^Á¹’‰&˜Å‘U‰ ‡ –)[Ž¢‰ ‡‡ ˜].’‘U‰>€¤ ‡ ¾E` A ! ` # ™[À^Á•¡.] Ž&˜O‹^Ž¶~¶ €  ˜ÅÃN‘“‹^ ‡ ¾ €wÁ N Ÿ0 Æ ‡.¾    ! ` # ‰>‹^,€wÁÂsÅ¡ō Ž>˜Ç‹^Ž¶».€¤ ˜Åù‘“‹š] ‡ ¾ €wÁ >Ÿ0 Æ ‘| P µ  0 !` # ™ G, 8, 5+ MK g g h%'0 C A   $*4 $*!.B#$."%  0'(&A $*/?D 2%108? ++žg"  A?K01*, 5$*D 3>0I+D C 4 1?1M   ÎÍ Cv  vu Í  vÉ $+"+A /2% ‚ ! ¼ ¬ ¬¬ #  A ?h%  %T"608$ C %  ® ® 08$@$.% %8$P?A   nNA  % Š  g"  ADA?K, % , >&B%LA /%1M¹mQ$.0 01D'A?'4B %KD'$ C /2%I%8A $* +%P> 1!.A?9A ]% K08$@$.% 2+ ,7A .D7$2, K4 +> '4 1,]>@B ¦ « %  +%P"6$.44 $ E?9%  1,!  14 « M A A!  ,08$.!*08 F , , BA @ - B, 1A - , - 7? @ BA @ - :A $'' > a Aa A 5+ , B, :, 8+ a .‹,EL‘“€ ÁW‘“‹WÆ~¢¡Ä‹^ €9‘UŽ&‹   > F‘ ¢ r t uwvu ¢.Ž>˜Š‰&–“–‘“‹&—^¡Ä€9 A  > €“ Á ŠŽ>՗^¡Ä€¤‰>€ ‘U>Ž ‹s—‰>€wÁ,Ž0¢ A –)‰¶>¹€¤Žž€wÁÂE‘“‹  L‘“€“Á,–(‰ ‡ .– µ  !A # ™ a C J? ËeÌ ÎÍ  :% :( .0A +>4 S$*08, 10 ¦  ¦ †  ¦ Ò  M @JA !*/0 M ? $-E? ¼ Ò # ‚ ¦ ¦ † Ö - ¦³ ¦ † ¦ Ò ¦ ¦ %0-9$;g"  0  ,01?'@%8+%A$.?#$+"<%7"6/DF%A$.  U! ¦ † ¼ ® ® ¼ ¼ - 14 ¦ « A [% sg" ,  %  1 ?-+$. F* ,.?A $*OM C;"h%  g" 0$&$+%1,TA `T05,0? 1@%8?3% K"6/DG%8A $*  U! ¦ ¼ ¬¬ ¬ ¦ # +2% 'P% K%0-3$?/> ®  !U¦ ¬ ¬¬ ¦ ¦ « ¼ g" g?708$&$+%1,ZA ^%  ?$. ?05,01?'@%=% N"6/DG%8® A $*?+ « G$¼ ¼ ¬ ¬¬ ¦ : # .,  !U¦ ¼ ¬ ¬¬ ¦ « G$¼ ² ¦ « ¼ ¬ ¬ ¬ ¦ F# +H01?3, DG%A( 14 B*M ® @JA!.® /0 ®M ³¶N® A 44 / ? ® ® ® ® ® ® ® ® %0I%1?9%A?E014+%A$.OM f a a g a c x1 x3 *  -,    x1 x2 x2 x3 x3 1 0 >2> )  x2 x3 x2 x3 x3 1 0  B       g   ,  &,            !D   6       !     >2>        1 >2>  )      7? @ BA @ ˜¹oÁŽ&˜Å€•¶ ‹^Ž>€¤ ‡.¾  ™ €wÁ¡ ‡ ¢¡Ä‹^ € ‘UŽ>‹  ' º ‚ ©  ©  C;"g% , DF$ C  )"     x[i] 0   x[i] 0 !   1 x[j] *  '        0 x[i] 1      ! x[i] 1  f0     x[i] f1 *   D  -   x[i] x[j] x[j] 0 1 x[j] 0  , a  >ba ™ ÀšÁÂŠÍ  ¼ ‚  !U¦ ¼ ® ¬ ¬¬  ?  A   v AGF;Ž0¢  w! ¦ ¼ ¬¬ ¬ ¦ # ‡ ¢¡Ä‹^ ® 9€ ‘UŽ&‹ ®  ' ÀšÁÂ È  vu © !w¦ ¼ ® ¬ ¬¬ ® ¦ « G2¼ ® @? A IuUvu ?  A   v AGF;Ž¢  ¦ «$ ¦ ¦  ¬ ¬ ¬ # G ¼ ®³¶® « ¼ ® ®  L “‘ €wÁ4˜o.9—.€O€¤Ž® ¦ « ‘| µ ² ¦ « ¼ ¬ ¬ ¬ ¦ # ‰ ‡‡ ˜o ’‘U‰>€¤] ‡ ¾  ™ ® ® ® µ © a a  + 08$@$.%$+"% 4g" A ?=4 +> '4 1, >@B %   (+08A.>4  ¦ « _% 1Z% .$* $*?AR%8A $* ADA ?h0 +4A 1,TA P%A?<$&, K  D1+>  <0A %)%'PA P%K"6$.0 C , - Ie 1-    ‚y¦ «  Ö ¦ « ¬ © © J? ËeÌ ÎÍ  *?)A D-"6/DG%8A $*?1M  '08+ - .?8?/ C :%%#A% =(+08A.>4 L$*08, '0g%  (+08A.>4  ¦ « $2D'D'/08?L> F"6$*0% N(+08A.>4  ¦ > M Cf @JA!M M )+_% ,g" g?=$+"g%  ¦ - > .0K?$-<OM 4AR%'0I+4 ? ¦ « + ¦ « ++ ,7% K"6/DF%A$.? ¦ « ¦ > + ¦ « Ö ¦ > + ¦ « × * >2>       )+*  <   <   .  = 2     H+   0._ ) 0 : <>9 H<>= < 310J ._  2. D=   9   " >    >      _ g  % %0I?% " g?SA% ?'?=$+"9% ?)%8%1,[, %A %A$.?S.0=$.%K/A @/ 14 B ,  %10 C A 1,OM  D'$.080? $.,A !   C 4  *?<+40.,2B]> 'N!.A( 1TA 8  C 4  M M fA?3"6/, C '@%8.4 />4AD1%A$. 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'0M ;%]?8 B2?L%+%% 3$" ?7D1+^> Q, '$.%, .?#A?$ C $.0 A D-AR"E+ , $*4 B AR9 " %'B .0=A ?)$ C $.0 A DL*?K$2,  ., 1,2!  ;4.> 14 , !.0I ?'M  , , , DC 0- , 7? @ uwvuBA @ ‹^ † ‡ Š€  Ž  ”  ™ ¼ ‰>‹š † ‰>˜os‰>–“–)u  ‡ ‘   €9‘“’>¹ÃE‰—¶—^‘“‹WÆÇ¢˜]Ž>à €wÁ .€ Ž¢~‹šŽōŽ¢ ¼ €¤ŽE€wÁ  .€OŽ¢~‹šŽō¹Ž0¢ † Å¡]Á €“Á‰>€ ¢.Ž>˜¹‰¶Á»‹^Ž¶ `  ‘“€“Á.˜ µ µ  L‘“€wÁ ‘U¶ ‹€ ‘U‰>–j–)‰ ‡  –¥ Ž>˜ N ™€“Á€  Ž[‹šŽō ` ‰>‹^ ! ` # ‰&˜o Å‘“‹ µ ‚   !  ! ` ##  !  0 ! ` # # ‚  0 ! ! ` # # ™ R ™ ` A ! ` # ‚ ` A ! ! ` # # µ  !  P   ! ` ##  P µ r t 7? @ uwvuBA @ r t R N €OŽ>‹€ ‰&‘“‹,‰Š‹šŽ ` L‘“€wÁ   ! ` # ‚  0 ! ` # ‰&‹^ P µ ™€“Á.˜o¶Žōk‹^Ž>€ ‘|Å€ ‰•—‰&‘“˜Ž¢k‹^Ž¶.  `  ¡ÁǀwÁ‰>€L€wÁÂ~¡ ‡ Ÿ ” µ ‘“ ‹  ‰&‹^ ` ‰&˜o‘| Ž&ÃEŽ&˜ —ÂÁW‘U™ ''•˜oŽŽ>€¤] , 8, g :C /+ E$.%g% %h% #?1D'$.,TDF$*,2A %A$.T"6$.0<L0,2/D ," 0'" '0I?_%8$:!*4 $*>+4 08$ '0%B$+"h% ]!.0I d?A D %7A?$ C $*0 AD?/>!*08 ?#D1+V> ]+08>A %0I+08A 4B 4 +08! *M E$ '( '0 %A ?S!.4$.> +4 0$ 10)%BQD1+> =0 4 .D 1, >@BQP4$2D'+4 08$ '0%B.M f, 1, %P4$2D'.4E, 1?8DF08A %A$. 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"   x x y *   M M x x y              >2> - -  9"6$.44$ ¡N‘ ¢k‰&‹^ŠŽ&‹– ¾ ‘ ¢k‹^ ‘“€“Á.˜Ž¢e€wÁÂ~€ C € ‘UŽ>‹4˜Å¡Ä–(ō‰>‹ ‡ ¹‰]——^–£‘U¶™ C /+ 3, 01,/DG%8A $*-08/4 1?  '=? +  &A ! ŽE˜o>¡ Ÿ  ˜oŽŽ¢.™ ;" . " ZA ?J0,2/D , % ':>&B#, %A %A$. %  '4A C A %8A $*:08/4 hD'.$.% >   4 A 1,OM   C '08!.A!V0/4  1D +$+%7>   4 A 1, 1AR% '0 <.?]$+%'0 !*08 ?1M ,),  - 0- + 3, ,), 8, - H+ - $.&( '0I? 14 B 4 F% > 7. " %$ A D  1 AR% '0S$."_%0,2/DG%8A $* 08/4 1 ?SD'. > 7   4A 1,M  1 & > B ,  %A %A$.[$."_% ' 4A C A %8A $* 08/4  O% "  , $1? 2 $.%DF$.@%I+APL$2, S` !.0I ?380 $&$+%1,TA   +   ,T`T+0 A ?)$ C $.0 A D+M  , , H‰  N M €HÁŽ>–(   !  # ‚   ! ` # ‰>‹š  0 !  # ‚  0 ! ` # ™   C '08!.A!08/4  P P ‹ Ž>‹^ $+"J%  'D .> # 4A ,M  A ? 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JM , @$*0 8+- ?A C 4A DFA %B a *??/ C V"6$.0Q%   0?% $."=%A ? ?1DF%A$. %% %  (.0A +>4 1? ¦ ¼ ¬ ¬ ¬ ¦ .07 %/08.4 4B $*08, ' 01,/+JAM .MI+HDF$*001?3, $.,2A!%8$Q%'A0-A,2A D   ?'M  A? ® ® A ?S$0?%80A DG%8A $*+O.? - D'. $*2 > %8.A  %A ?S$*08, 10g"60$ C '( '08BN$+%'0S$.0I, 1g 0 >&BQ0 g  C A!=% S(+08A.>4 ?'M '%:` > 7$2, 74 +> '4 1,>&B ¦ « AV+ "  $+"9% "6/DG%8A $* JM @/0)% '0#4 F% 8 > T % ADV4 1*,?S"608$ C % T0$&$.%S%$Q` M "EDF$./08? J$.4B % 7(.0A +>4 1? ¦ > :%1?)%,Q$* 8 M  % 8 A ?%0I ( '0I?1,P>&B.QA /2% @ O P !5 ¬ ¬ ¬ " 5 #eAR"+44&³ (+08A.>4 ?e%1?)%,:$* 8  ( 9?/A %8+>4 h(+4/ 1? A5M *M *AR"75 > D'$.ADFA , 1? ¼ ® ® '4 1,>&B ¦ > M f %$2,  `-+ ,=A % $&, 1?H> '4$ ^`-$*4B-(+08A +>4 1? ¦ « ¬ ¬¬ ¦  BL> %?%1,M ® ®  C   1D  cA N% -?/> "  08$@$.%,A Q` 7?/>2"6/DF%A$.'   ' $+ "  ª ª © ª '  © ª A ?EDF$ C /2%,M , 4a - - + C;":> 8+ 5+ + fa , 4- g , ,  +  B, C  Pg 1?A, 1? 8 % '0 A ?P+$.% 10 +% 4 .,2A! "608$ C %  08$&$+%T%$ `X.,^%0I ( 1 08?1,T"6$*0<% -A  /2%8? ! 0 ¬  ¬ ¬ 0 # % 1NA N`T% #"6/DG%8A $*( '  ¼ ® ª ª ® © ª' © ª  ?ZA A ?ZD'$ C /2%1, %8$&$M % $2, ? $."Q% " > '4$ ` $.4B %  ‚ (+08A.>4 1? ¦ « ¬¬ ¬ ¦  B >  %1?)%, ^% A, 1@%A %B   ª' © ª ® ® $.4 C ,?1M  'D  dA 1.D[$2, ]4.> 14 ,[>@ª 'B  ¦ ª $+"<© +  '  " « ª ª © ª' © ª  *DG%4B-% ?/>2"6/DG%8A $*$+" 7A ?_D'$ C /2%1, A D <$.>2%I+A="60$ C T>&B-?/AR%I+>4B % 2A! ¦ %$7D'$.?)%8.*%I?'M ¼ ® ¬ ¬¬ ® ¦ « $ G ¼ E$ #D1+, 1?8DF08A>  " g?h"6$*0E+&B]? ‡ ž€“ÁE .€~Ž¢NÅ¡ ‡ ¢¡Ä‹^ €9‘UŽ&‹ÂŠŽ¢  jÁW‘UÁ? sŽ ‡ € ‰&‘“‹ ‡ ¾ ½  ‘“‹WÆN¦ ¼ ¬ ¬¬ ¦ > G2¼ €¤ŽÇŽ>‹Å€ ‰&‹€9 ‰>‹š jÁđU]Ác¶¤— ‹^ .]  ‹€ ‘U‰>–“– ¾ Ž&‹Ç¦ > ™7—c€ Ž ‘| Ž>Ã[Ž>˜ —ÁW® ‘|Åݍ ® €“Á.˜o‘| W‰¶ € – ¾ Ž>µ ‹^ ” Ž¢~ÃN‘“‹‘“Ã[‰>–$‘  A¢.Ž>˜  L‘“€“Á ˜oō —.€ €¤ŽÎ€wÁÂ,’‰&˜Å‘U‰ ‡ –)µ Ύ>˜]¶ ˜[¦ ¼ ¬ ¬¬ ¦ $™ ÀšÁW‘|  ” Ž&‹€¤‰>‘“‹Â4 W‰¶ €9– ¾ Y > ‹^Ž . ® ® –)‰ ‡ –  ‡.¾ ¦ > ™ _a '' ''        >2>  F* ,  ,                  - $  ˜oŽŽ¢.™   4AD'AR%84 BDF$*?)%08/DG% C AA C .4"  $+"  ADP"6$.0 +44 D'$. P %8.A  ?  *DG%4B Y « $2, ?#4 +> '4 1,[>&B ¦ « M ;"  A ?:ND'$.?)%8.*%S"6/DG%8A $* d% 1C  *DG%4BDF$. ?)A ?%I?E$."J% #% 9$7?A  2? ² +, M % 10 2"6/ DG%A$.   Y « ³  .DF%4BT$* #$2, -` ADNA ? ³ 4.> 14 , >&B ¦ « M F%  + ,  > S% $*?AR%8A ( :+,'!*+%A( #D'$+" .DF%$*0E$+"  M @$.0% ?  © D'$.@%8.© A  ?h% :$2, 1?` + ,T` M-8_*DP$."d% ? #$&, 1?2"6/DF%A$.? ¼ º A?SND'$.?)%8.@% "6/ DG%A$. # J$.0#+A*%'08+4$&, 4.> 14 , >&B N?A   ! A "  $*0  © M © D$&$*?-` %$> =%  ;?/D'D 1?8?)$*0 $."3` + , ` %$> =%  ¦ >  10  ¼ º @ P ³ ² f?/D'D 1?8?)$*03$."J` M F* F* g + g  -   C F*  5+ 0-  , 3- 8+   + g g + - + g + CfV$.0I, 10 %8$ ,08$( L%+%S% TDF$. ?%80/DF%, " D'$ C ,/2%1?K% "6/ DG%A$.  + A %?/7D ?7%8$ ,08$( %%N% 1.DX$&,  `Z% DF$*001?3, $*,2A! ?/>2"6/ DG%A$. A? DF$ C  , /2%,M =,08$( %A?d?)%8+% C 1*%J>&BgA,2/ DG%A$.:- '0 - H%808 ( '0I? H% 3$2, 1? 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X     ?  #&%X !$# "")! ? SX % !#35  # !'[  " !'[ ?BA$# A    [?  ( B<  B = I ( BR 1- $D#^D1$0L R"%( )2"8N < (>$FD O $F-#(>) B #('& < D('L;N%Q B 1(5& <8B<= ( D D#^ < #",%$ D( D4& I  ]  < D#( $1$DD#& B #$ L B )2B"%<( < = $ D A  R < B D O = $ O $FQ5&!H>I$ =  H%-#('L B!B = -1(5Q'^ B B  1"%$  = < ( O $0B-2<D= (5^ & B I B BQ'( = I &!- < B ( BB  $0- [$  Q'$0^ 1"%$ ( $F-1D#(5^\& &!Q5&!- & &NQ $F-F R D L $ )0)0$FD1D(']%Q'$@#& #"$H%N%]%Q'(')`( <  %A D E B I  B I < B AX A  <( %( E -1N%$ -1= $ ('$  <  2D  D"%1"%&S$R D I -##"& < $ `$ -1<>)2="%(5#$#"%) 1N$ %O -#$$F-#& (>)#"B #($ '& < )0&D#-1^$D/#$F#"L $TD#^ "%< $F1"-#%$ $FD#( -1DG$ )0&&-1N$-  $ BD#<D#$ = #(#"%$ Q N <= $0-1Q5^( <%E ,  H B ) [ BE $ A  " VHDL Verilog Esterel VIS front end: traversal of hierarchy Verification: - model checking - reachability analysis - simulation CTL Synthesis: - state minimization - state encoding - restructuring SIS OBDD package ;=A@CBED  I &"%-1L $  FIH F N    b N L    c  O I < <= H%-1& O ( = $ D-1&N1( < $ D I &-;#- B< D I &-1LM( <E\OSB -#('&ND@R+$FQ5Q [ < &SR < ( < %H N B -12D& .( ;$ < 1&#"$ ( < 1$0- < B >Q "%('$0- B -2)2"%(') B Q < $0R+&!-0[ = $FD1)Z-1('H#('& < A < H B -1(')0N%Q B -  B Q D#& )    N     %" ( BE < "  Q'I $ O $FQ>Q =B<E < N BE $FD Q5(?[< $ #"%<$ B RI ( = $FD#H%B -1$ A B= )Z&LMLM$0-2)Z( B Q/Q B<%E N BE $  $0-1(5Q'& E ) B< ]>$ #- D &!-#LM$ ( 1&T#"%$( #$0- Q &-1L < &- = $F- #&-1$0H%-1$FD#$ < #"%$&)F)ZN%-1-#( <%E D#R( 2)2"%( <E`I N < ) 1(5& < DF  D $FLMH%Q5&S^D ,  D B D ( < #$F- <B Q =%B B D1-#N)Z#N%-1$ A h Q5Q B )0)0$FD1D$ D 1&M#"%$Q'$ O $0Q & I  &&Q'$ B< L B< ('H%N%Q B 1(5& < B -1$ H>$F- I &!-#LM$ = #"-#&!N E "_N < ( I &-1L ( < 1$0- I B )Z$ D R"%( )2"\)0&-1-#$ DH/& <= $ZK B )Z#Q'^3#&T#"&!D#$ I N < )Z#('& < D #" B " BPO $]>$F$ <= ( D1)ZND1D$ = ( < 1"%$@H%-1$ O ('&ND )2" B H1$0-2D A & H/$0- B 1(5& < D B<=\ B B B < I O B &!) D1D#(('']%& Q'$\#&Q &!)2-#"%(5#"&%&!L3D#$CD 1"%-1&$ L , 1"%$N H $FB -#) Q'[ ^B( E $ &D N%J& I < D#j$ O A %$0A - B  Q BBP<OS= B ('Q B ]%Q'$_ H B ) [ BE $ B D A BE < H  B -##( D )ZN%Q B - .< 1"%j$ A AH  B  ) B [ BE $\& I & <%E = A  D#$0$   $ ) #('& #"%$ H ) [ $ D$F$ $F)Z#('& -1$DN%HH>&!-1$ O B < O = <  = B E I  "%$ $F-#( OS>B ) #(< '& )Z&!-#$ H%<%-#& E ( B<$F= D#"%$= H%-1$FD#$ #$ <%E Q A &!-#<_(5#"B%=%L3= D &-4< -#$ B )2" B ]% (5Q'(5^ B<>B B Q'^ =  D#('DF!= $$VN%( Q5$ <%)ZE$ )2I "%B $F) <[(  < LMB & < $FQ/)2"%$ ) [( B<%< (5#('& 1&@1"%= $ <    ] DB$ < LM & 0 $ Q 2 ) % " $ ) [V(  ('- $FD1D )0& D#- ( 1DFR"%( )2"C)  & +] / $ $ZKH%-1$FD1D#$ ( ) B Q D#&T]/$`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h $F- )2"%-1N%& -2< )2( ")ZQ'$8& Q I -01"[!%$$F D#$ ) B )2"%('('Q5$ Q O $0LM  = A h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`9A) "# 6 $ 1'F &!$#"%-(&G-%$ 7 (  &B$&" -(9 3'7C+'6)( -(& $N+.-`9J) -`FG) F5-() 9;-(&%* 9;-(9& 7 -(9bM < # $'( F -+( 2 # $ 9b-+,'"-(# &.-N$')H9 6 # -=# +'&G-B1'6 -(& #( 6 $ 6 # - +'&G-B1'6$'9b-+( ( 1'I 9b-+,'-(&0/*$N1F*64$L3`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b/&!B -2D< " BPO $ I < &J]>$F$ $ < $0Q')Z&&!HLTLTH$ Q5$01D#$= ( ^!#"$ZA('D  -1"$ $  D#$ B Q5#"-1)2"&N I &" -J#"LM%$_ &!-#$ )Z&!LTH ) J-1$0H-#$ D$ 1(5& D;& D#R( 2)2"%<%( E<E <I EN &!- B<  A IE N A < ) 1(5& < D=%Q'= (I[!$8 L8N%Q E 1(5HQ5( )= B #('& < I & < I ]( << B -#^ < <  N%L8< ]>$F-1D < &!- %A ( < = ('-1BP$FO ) < D#&- $ )0)0$FD1D $ #"%$`"%( $ R+$F( "!1$ ]%(5 N ) 1(5& B< ( OPB $  B (5#('& = A "  $ H%-1& OSB I ]%Q'^I $0KH/& < $ < #( B < Q  D#< (]\0$ B Q  D;R( <1" = -#$ DH/$F)Z@ #& ^ D -#( ]Q5$3&!- $F- "%$ H%B -1&& D& #"%<$ O D$`$ZKE!H/B & $ #( QI Q5B &SR$0-]/&N D R+$F< -#$ E ( O B $ < ( < = $ ) < #('& B < %A = A_^ &SR< #"%$ ('L ( D@1&*( $FD#( #$J"&SR -8= #"%$\-1$FD#-1(')Z#('& B #&< <%E K$ O Q'( < $ -T&<%- E $F-;& E #"%= $ D#B $ZE 8& I OSB -1( B ]%Q5$ D;) B< ]/$C`I-1$0Q Q B K $  RA (5#"&NTR+$ [$ ( &-8$ $ Q'&!D#( #"%$ && Q &!-#(5#"LT( ) H%-1&H/$0-##('$FD& D I #"%$&!- = $0-1( <%E -1=$ RVN%('-#$FLT$ < B D R+$FQ5Q B D#"$@-#$ B=  & < )Z$ H%-#&!H>$F-^3& I3Q  D B -1$ = -1&H%H/$ = )0&LMH%Q'$Z1$0D Q'^ & < $ ('LMLM$ = ( B 1$0Q'^ &!] B ( < D E $ < $0- B Q]%- B< )2"( <%E H-#& E - B L3D B D`( < #-1& = N)Z$ = ( < $F) 1(5& < >A >A %A Q I )Z&N-1D#$/#"$JD(]\0$T& I B< &H1(5L B Q ]%- B< )2"%( <E < a ('D Q5$ D#D1" B< &!-=$ RVN B QS#& #"%$ D#]( \0$ & I%B< &!H#('L B Q H%Q -1& E -  B L & I%B D#< R( 2)2B"%< ( <E I B N < ) 1(5&   ]NB @( L B ^*A ) D#$FDFO 1"%$JD#b( \F$3L B ^B ]>$J< L8N)2" I DL < B Q'Q'$0B -  D#&LM$ZB 1(5LM= $FD@$ OO $ << < < $ZKH/& $ #( Q'Q5^D#L I Q5Q'$0- &SR+$B $F-F0B#"%( D )Z&I LM H ) B$F< D1D& B< #$ L B [$ < D(54" - < &-4A $ $ ('LTH/&!D1D#(5]%Q'$+#&`H>$F- &!-#L 1"%$ ] D#('). D [D4& &&Q'$ L ('H%N%Q 1(5& $ #3)0(5$ #Q'^ &    c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`" D & Q'-#$ ^3]/$0$ D1D#( $ BTOPB Q5N$ ]/$ I &!-#$ A ! ! !   ! EDF FJILK      +-0 4=<4  />?A@CB cb@ed   $     !  !   ! !       ! $ !      M  !   &! !    L!    L!A!&   Y $  > _ @`B   Z  !   ! !  ?M]-^        ] %  Rf5S TgT !&  ihcj7kJl  % S  ]      <90 ]  (  $&,  $    X  W4[O0 ]    ![Z   ] Q SUTVT AW5! Ž!& $  ] %      !    ! "!     $    (   !  Y  $ $  !   ! Y  %   !     $&$    $    V!aZ       !  $ !  !  !      E!  $  !    $  $     Y   E! $    !              A     5( -2D = R+$;-#$FL B -aJ#" B Q5( < $ B - &!E - A = $0-2DA ) A B< ]/$@( < #$0-1H%-1$Z1$ = B D ER!N( 1$;D('LMH%Q'^\B D#-1N)  #N< -#$ )0&<%LME H%Q'$Z1$B M^VH/$FDFI  BD#$0$ (   N-1"%$0-1I LM&-1$OP B 1"%B $  N%A -#$3D#"%&SR D LM&-1$ ( 1$0-1$FD#( $ZK LMH%Q'$`& )Z&LMH%Q'$Z1$`^H>$`R(5#" &N- -#( ]Q5$ D x4 x1 x2 x2 x3 x3 x1 x1 x3 x1 x4 x2 x2 x3 sink sink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 *4[80  Y,+ !41JW ! ?. - ! +-0 4=<4        5 !0   :J4 ! : .! *4E[80 ! Y +  ?. ! R!&   ! L! &         ! M   > _ @    B !  Y  $ !  &  !    ! Y +-0 4=<4 !  &    Y $     "!   98     !     !   !    !      !    !   !&   P!    ]  f5S g T T />?A@ B  !  8!&  $   ] 'f5S TgT !  ! 8&!        & " Y $   Y !   Ef5S TgT      !   \   0/ - ! !  M!21     ! Ž     -! ! 1 3]  !  ! 63  71 !< !"! ! !        M!  ! / ! ! E! ! !  ! 43 W!J 1 W    - !   ! " Ž      ! ! !  !&  ! &  !  (   !  & $  $&      Ž!& W  & !   Ž!& $      & 0 Z:* Z      & L!  !    X%[8! :L0 27S!"X; 4  X%[ [=6 0 Z!*  J0 Z     " $ !   $& 0      $    &   $   !   !W M!W   !    !    ] %" $ I !& Q5`I Q'&SQ R( <E  D BA #$FLT$ < ) B< < &SR ]>$H-#& O $ < D#('LT('Q B -1Q5^31&M#"%$;N < ( R!N$ < $ D#D1"%$ &-1$0L & D  - c                  [0  0 X     M!  !  ! $          "! ! $ W     L!& ^    !   ! !   !         ! VfSUTgT   $  !  &   !  Y $  Y   Ž !  & ! XfSUTgT &   Y $ $ ! !    $&  M $     !  Y ! $ " !           L!&    !    ! !      Y    fSUTgT  ! ! ! Y  $ Y   !" -  $&  !  ]  !& !  & ! Y $   !  !"  Y Y  Y Ž   !  +   ] < &- = $F-#& ( = $ < 1( I ^ )ZQ B D1D#$FD& I  D;R"%(')2" 1$FD@#"$ OSB -1( B ]%Q'$FD`( < B D('LM(5Q B #D $=RVN%< $ < )Z$+< ( CDI.#BN$#J)Z$ D8#& )Z&!LTH B -1$C1"O %$ ^H>= $ DM& I = ( $0-1$ < <  < D A V I $ = $  < < $ #"= $ &< #('& &  D#N%A ]^H/$;R"%( )2" D#$0- $FD #& $ D#)0-#(']/$#"%$T)Z& D( D#$ )Z^C& ^H>$ D ( (/$F-#$ D ! ! ! !  Ž!& W W    ] B   +-0 4=<4   id $ . * 2$F- B #&- 1"%$D$0 & I/B Q5Q^H/$FD )0& < D#(5#N1$FD B H B -##( B Q&!- = $0- A ( E N%-1$$  A TD"%&SR D B ^H>$i& B<>=\B D#N%]^H/$i& A x1 x3 x1 x2 x3 x4 x4 x2 x2 x3 x3 x2 sink        +-0 4=<4 ! !'![ Z    ! ! $&            ! sink     ! id !  $ g   & & !  Y " $  ! b    $& hcj9kLl     ]   "! !  `& !   Y ]3B $    f5SUTVT  & 4O. & $& 9  $ B ]%Q'$ & < Q5^@#&`R+&!-a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cD#Z H>X $ ).1(Z$00!Q'^ W 01$Z.0PN #"('D I $ A )Z( D('& F ( - L  X F X I KMX W F HHH G    0     !  !  R"%(')2"('D $ $ &- $0-1$ ! d &    F ] & !  $& DF   ! ! F I K GHHH$G #"%$   ^ ] ! !  !  &    !   !   !       !   !   !    DF   G    F D &*( D B )Z< &!LTA H Q5$0#$T^BH>< $!#"I $ OPB -#( B ]Q5$ <B  B < H%H/$ B -1D & B< $ B <%)2E "*)0)Z$ D#D#&-2D & #"B %< $ B & $ Q ]/$0Q'$ ]^ B B #$F<%- E ( 1$0- < #$= HH%Q5( ) #('& F & #"%$TLM$0-< ( -1N%= Q'$8R$;&!] I ( ^< H>$ A& <>DNB )2" #" D#B ( = Q'$ B & $ Q B B ]/$0Q'$< = ]I ^  ( D 1"%$8 & ' Q _ ^ % H 1 $ F $ Z ) $ # D # D  & G & 1" % 8 $ # D (  ( ' Q 5 Q ! ^ /   ] ^ 5 ( #$ 0 1$ H%H%F Q'(  ) #('& B< & 1"%$3$0Q'O ('LT( <B #('< & < -1N%Q'$ I 1"%( D #('LT$3D B -1( <%hcE j7kJ( $FQ5$ = ]^    R$@) D#N)0)0$FD1D( $FQ5^J)0& D#-1N) -1&L & #"%$`^H/$   [0  0 X   ! !&  ] (    Y $   !& f5SUTVT "!  id  D9F  ! ! !  $&  & F ILKMW L U! G!HHHG  ! ! !       $  &  !   !  a  !  ] Ž $ ^  Y      I ! $ !       !     ![Z    a ! Y $ ! ! !  ! $ ] !   !    L! 5( -2DF4<( ;( D@a )0BQ5$ <>B = -1" B 1"%$0-1$3 $ZK( D2D A B  )Z&!LTHQ5$0#$J]%( <B -#^ = $F<)Z( D#(5& < I 1-#$FB$<> = I R"%( )2"C-1$0H%-1$FD#$ 2D < R"%= ( )2"J('D& < ^V= H/A $g & N%= $G#&;= #"%$`)Z&!LM H%Q5$0#$ I $FD1D & B & I @#"%$;#-1$0 $  ( D N ]( RVN%$FQ5^ $Z1$0-1LM( $ "%$;-#$ N)Z$ &  ('D Q D&3& ^H>$i&  B<=\B )F)Z&!- = ( <%E #&  "%$F&-1$0L  A  (5 ('D N < ( R!N$0Q'^ = $0#$0-1LM( < $ = A ^ &SR Q'$Z ]>$ B<3B -1]%( 1- B -#^  & I ^H/$*&3R"%(')2"M-1$0H%-1$FD#$ < 2D a A  "%$ -#$ = N)Z$ =  &!A -# ( E ( <B #( <%E I -1&L ('A D B V Q'D#& & BI < ^VH/E $ < & B= <= -#B$FH%-#$ D$ < 1D a A <  $ < )0< $  "%$F&-1$0L   ('LTHQ5('$FD  $*) )0& )0Q5N $ #" C1"%$0-1$ ( DC& Q5^ & $ -1$ = < N)0$ = = & I ^VH/$ & = R"%( )2" < -#$FH%I -#$ DA $ < 1D a A  "%( D  ) B<  $ A E A  ]> $ )Z& D#-1N) 1$ ]V^\)Z&!LTHQ5$0#$`-#$ N)Z#('& &   "%( D.N B < (]BRVN%E $ < $FD1D D B #$I 0LM$ < +(I 'D.#"%$G<%E-#$ B D#<& <$ = <%('E -#$ ) 1QB 5^ 1- < D  ID#$0N-1)2-1" $ = D #&\Q ^&H>-1$ (5#" %] L3 B DD $ = &-H/$0-  &D -1A LTV ( $JD#]%N%( LML -1^ B -1&b( H/\F$;$0- 1"%1($J )Z&!-#-1$FD#H/& ( D #$FLM$ 1D R"%( )2" -#$ DN%Q5 I -#&!L E $ < $0- B Q'(]\0( <%E 1"%$@D B 1$0LM$ < 2D& 3I Q  D A    ] [  ! 0 X    0 !& Y ?  $ $ &  id   FX%[  4J0 . O4=   Y $  @   B    ! !  F I& K        & Y $ & ! !W   !    $ Ž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`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`R( 1" -1$FD#H>$ ) 1& -1$0H-#$ D$ 1(5& &  (   E -1&SR D+$0KH>& < $ < #( B Q'Q'^J( < ^ 1"%$-1( ( < ]%H%Q'$@N &-Q'$ <%$FE - #"#"$ A < )Z& < 1- B D4#& #"('DF(5 ( D H/&!D1 D(']% Q'$ 1& -1 $0H-#$ D$ < 4#"$"( =%= $ < R+$F( E "!1$ = ]%( I N < ) 1(5& < ]^ B B< O  & = I LM$F-#$FQ5^  < I  DI ]( \0< $ A  < "%$8 ] ( B D#S ('); F ( =  $ B &  I ( #"S $T F)0& < D#-1N) F 1(5I &  < A ( D -1$F)0N%-2I D( < $ $FB )0&LM< H>&VD(5#(F '& '  &= < #"%$ N )Z#('& G HHH$G F F &O JD('LMH% F Q5( ^ & FJ#(I '&  _A V Q5$0 =  < $ &#$`#"$@I D< N%]>D$GR!< N$ < )0$   GH H#H$G  & I 1"%$( < H%N $ ) 1&- GHHH$G $ $  $`#"%$`R& N ) 1(5& D  G        '       '   F  F F F "!$# %  '& () *    "!$# %  '&( ) 3 F ( I,+h   '  - ;G &#"%$F-#R( D#$ + h  F  '  .0/21  43 ( I, &#"%$F-#R( D#$ A G     H[1:n]       A    G[1:n] H[1:n-1] G[1:n-1] H[2:n] G[2:n] ...         b            5  b    "%$ = $  < 5( #('& < & I    5( LMLM$ = ( B #$0Q'^C('LMH%Q'(5$ D  ( S  F GHHH$G F I    I  F ' I  H ^ &SR B -#$ )ZN%-2D#( O $ )Z& < D1-#N>) #('& < -#N%Q'$ I &-+#"%$ I N < )Z#('& < D    B<=      - / % ) B< <  " B<%< & < D = $F)0&LMH>&VD(5#('& < A ]/$@D B #$ = A  "%( D-1N%Q5$`( D ] B D#$ = &  F F F F F  A  3 3     F  '   F     *  F  '  *   F     *  F  '  *  G    '     '   A    '                  3   H   "%$`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`# -#&& #& #"$@D( C$ )2" -1( ]%Q5$ ( D-#$ LM&!D& )0$ $ )Z$!R+$@) )Z& )ZQ'N $    [0!#" 0 ) X%   $ *)    Y ) !  $       '&   ( $!( S  &-^ F     f5SUTVT ! !        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