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Augmentation Sommets ajouts ! # XW) 0 0 B Qvg $Rd B `4 dc6 R9c b &P 2 u D1B e% 1 w Ra#"eD%" i1d712 (&%$" 7b2 fyD%Qv D#"y% 1 ffVwg g R1 &% " u Y ' Y PH ' Y " PH g Vv ' c u 7c2 d% c #" 1 Q&%54 p P 1 axRY RX Vu4 D1B v D'" B #"ee% c " &b1 (P c a#"eP B d&%l&'Qv RP c S 1 $" 712 P 1 % c U B R#'V54 u U Y v P' ' % '' u PH y ' Y 2 % Y 2 P 54 c R e 4 c 5P 1 e% c fu&' #2dc6 RH 2 " D1VB6 f&' B s e V I f c `% 1c i f$(#P' D1B e1' % 1 E g 5 % " gA ' e% Y V A 3 ' Y '" e% 1 v 2 v eD%}f&' A Yi #"ek%" x B CP 1 b (% 1 F% c #"D#"' c 54 dc6 eY D1B (% 1 a' #" 6 #u&' 2 RP 1 b ea' 2 &P B e% 1 Y ' g " 2 u u v ' Y " % ' &'v 2 v eD%IQ% c x&'Qv eP c S 1 #'V``4 c F&' }i g R1 &%nVQv Q&%f&'v 2 p% c #" 1 Q&%54 p P 1 U B RI' V16 B e% 1 ```4 c '" ' 4 ' g u Y ' Y 4 5 5 e f r e qV R 5 A F y} ) %[email protected] e 5 PC CA e 5 PCA C p 5A w% 3 AC % ' ' ~ w ) x AC y [email protected] r g f R1 ! q e A e X y} ) CC AC e 5 P A C 5 A 5 5 @ C w%a A % ' ' ~ 0w ) x AC 5 y r 2 2 c 1 5fQ% b D1B &r1 % U Y c 1 c ' 712 Y eX v 1 v u c B e1" #Pb ' #&'[email protected] 3fV RehPa%1 #" 4 e% FRRY Vu4 eg [email protected] 5 D" g 5 % c #" 2 1 P 0D1B e% 1 T&'6 2 " 71c 5&4fl' 2 2 &Pc BB b &'R`t Cc f DBB V @ u Q% 1 $" 2 v b [email protected] ' Y 2 u Y 6 ' &'fV&r1 &' B &'fRP c x D1B `&4 2 54 X $" Dp1 2 c 5Rp% c #" 1 Q&%54 p P 1 a`u 1 V{vg 3 $" c u % Y UY Uv ge '&%IH 9 Fdb g p % $cB eP B F B D%`&4 7X6 eY ' u " P 2 c B B 2 u v )1 " 2 u 54 X $" $p1 U 1 9Ve#P 6 dIQv Vv tCP 1 b (% 1 n% c #"$#"' c 54 dc6 eY D1B eQVG 762 P c B &PfReP 6 rb1 z x E u v P H ' ' % %B P 2 P H ' v ' ' % 1 " ' E gB (B #&' X u 71p B Re% #c2 2 DY7"e% dc6 eP c fDe#P' D1B e% 1 2g Dcg DR1 B &%`v y&%f&'v 1 2 Y fp k%6&" Rx`4 X $" p u Bc Y 2c y 1 U G2 7PR#"(D%" 1 e7P#'&'RYy" 6 v ' c u 7c2 u 1 4 fA " p C5R954 X D" $p1 U 2 #P5Vv ' ( f&'9 7XC#c2 eu 1 ffVe ' PH ' ' P Y ' u Vg&' 2 " 1 Q&%5&4v B (R#P#'V504 c ' ' Rl' V16 c &'RF 2 (F B e% 1 2 $e2" &H 2 Ra(QH uu ' 4 PH Y "u ' Y P %"P 2c B Y 21 %P " ' Y ' 54 X $" $p1 V 6 R5fQ% 1 " b Re5f$e#P' D1B e% 1 G(% c ' c u #c2 eP c & g 8 $Xnf$#"7'&' 6 e9&'fV&r1 $X&`V u' W W v % WW #'V5`4 1 c xc $W Q% 1 7c&Y2 v #'' c$c1 X u 1p ehPa5D%2 7c" #'$p&'B 1Rl Qi B 5&4B Cd d2c Q1| 2 " c &4u T 1 fu&'`2 &%c eB P c 2 #PV(5Bu &4f 4 'W u B 2 % U Y Y B u 1 g v 4 6 ' ' &%xfQ% 5D4u ' 2 f&'&'54 X $" &'R`Qv $Rd `4 6 g 2 u " Y " u v Y R5 Y 2 U R9#'Q&%5&4v vaY Y U B 2 p vg p " #2dc6 0 1 q p &"q ( Vh R g1 g p 0 1 q p &"q ( Vh R g1 C) ! ! # ( ' t & & & Y& w& d H H c e $$ $ R r H $ G& fU d "1 vU P U $ C B f R P p & U d # # e$h$ H#yH#9$ H g g$ H 9 R d H ( I R R $ H H P B&' wHrg t ("d H )($ Y U $ 0C B fR R P d d U e$ h$ H R U IR @H 9 % t d d c % d 7 Y ` R @TH I V 2 9 g A9 C Tf B Tl h Y U $ CI Bhe$ d"H w(UB 1 PPb U U ye&rP2 1 U Y @H 2( p $cB 6 rb1 ( "H R ( 21 $ 2 2 % P Y c ) 1 B 1 v B % Y Vg&' " 4 &'f' V P a1 ' &P RP % v % &'eY 2 c D1Be#1 e!RD%#"#'&'1 ew% i u w fp $" c ' i1 D%7"#'&'R5 B e1' % b 1 Y i V504 c `RH e7X6 RY A V(% c Y dc6 P RH 2 2 #P#'' d2 P c e e#1 U 2 RD%#"7'&'RY 2 P c u % c #" 1 P 1B2 D1B fD'" B #"ex mD%#"B 7'&'[email protected] 4 BX $" $p1 Vrv2U 1 B |g2 2 B P Y Y 2c B Vg VuIeY z I e% 1 T&'Vv &%G&'fV &' v Y E ' Y &'iv kBB #"yk%" c 3&%&'R% p " B &' B V#"k'" R7X6 Q% 71Qb P dc6 (#1 U B Q&%fy&%f&'v 2 Vu 2 &'Rk%&" B e&'R%B p " B &'C B 5&4Cd0eP c2 7P' u c 2 2 2 u vg u % ) u ' " g R&%d4 c &%v X w 6 2 feP DBB FW DR1 2 P p 1 rvaD%7"#'&'Rxe 2 Q&% 6 P 1 eP B }#'V504 c W&' 2 26 D1B eRqV54 2 x" RX6 g Y PY ' u 4 ' uY u 6 2 1 Y c v B 2 u e&g&' 2 y&% C#A( &'RwRY RX Vu4 k1}1 }#'Q&%5&4fD'" 7cd26 Rx% c #" 6 e&Yv 2 Ref' eX u D1B R}' $cB e&%f c #' 1 B 7P&'v 2 Y P Y 1 Y 'P &' B e% #c2 fD'" B #"RIeP c % 1 e&Yg` 92 B P D6V12 P c gW g fVVr1 U B f&'Ie% 7b2 fe% dc6 eP c `RQ3fV&r1 qg ' P ' % " v 4 B B 6 | C 2 ' c ' ' % P H 2 U v sGf W 1 y } a} ) % 7 ) y @ ' q @ ' 5 1 g% ' 1 Y 2 P RH B f W 2 y f $" c ReP P 1 e W y iR&'fV&r1 &' B &'fRP c Te% b B &%TeP c % i v Vv" 2 u #c2 5ffV T2 e&%f G2 P c g W 1 [email protected] RQH B fW V``4 c (G$" c ' c ' u 6 " c | P 4 ' %P W 1 [email protected] W x 1 x B 1 Y &r1 2 b B % 2 2 b c b 2 #c2 k1B R !1 6 B " CD1B l2 VP wcv $" (Vgv Q% D71" b IP' fdcy6 % ee7P2"# 19v (VI"Pv X u u 71u2 p eFP 9"H2 712 )daFQ`e4'PU 7H fPXS $" z$pI1EB V ee%6' 2 R&'DH" fB Veu u 1 a&'U lRQY % s1 rb(1 i R&%P ai1U {B 7P' i 6n | 2 2 ' % 2c Y PY Y P p 1 p B 1 2 ' c b v 2 ' c fsrB c 2 dc6 Y c u P " 12 4 1 c 2 e p B B % q iCrBg 1 ( q &"r VdB U #"e1' k%" i eP% $" 2 3eP 1 & Vg&' 2 y% 6 e6 #'2 yD%" #c2 3C&PxRY E eY4 xD4R1Qb dcP 6 Q(%2 #1&'VQv ek'% P " 2 &'R% " u P 2&' P c [email protected] D%$#"" #''2 &ce$ p !1YB V e6' % e% Y c D'" RB #"RH le' P c#P#''% CG'&gYU" VB 54 % cGV" x 2 a) u % c ' u 6 z &b1 t% epP "I1y% f&'dC&PR5vY p RejRRD % #"D%#'" &'e16 Y2 ' P @' u v B e 2 Y Y D1Bq u P 1 ' V5`4 c RP c Ry%& 2 #P#'' 1 Gu #c2 u `4 X $" $p1 V 6 e&'v Vv" 2 u #c2 w&' (i c VdCY fp D%&" 4 ' PH Qg 2c B Y u B % hg Bc Y 2c B Y 21 %P Rp54 X $" Dp1 U B RfQ% 1 " b Re3y% 1 k'" B #"R&%uVe#P 6 ddf&'d&'f#'k'" 6 ' 1 &'RY " RX6 Ru 1 V{vv P v Y U D 9 D'D% "!DhD 9 Ff 7 DCH % 1 i1 1 6 DBB x h E x 1 Y c #c2 2 6i 1 4 fA " p CFR0% c #" 1 y&%5&4v B 5D4"hU B e% 1 Yig % 3D'c) V" 71v 15P4 dc6 eY%CRl`&')f1 Va"v Rdye f&' We% c D'BE" #"qRsvGP eFcz leeQ%P' 39c V#"Qv ' 712 Qv u $h"Yu 1 P Y 2R u R v h g u1 u ' ' B'P % H % U 6 fQ% 1 feB' % cd1 W frA1D( (9e% c #" 12 Qv Dh"a0 2e 4 c 0 B e% c % 12 6 (P c % i 54 X D" 2 cc $p1 U B B eb nv $Rd B 5B 4 dck1B v g p1 B1 PY ' UY % ' c ' Y " u 6 f2D`D4" 2 P c giW ) % Vv c f&'I2W c B V5`4 c teQH eX2 P c peQ2P &%f 32 &P s1u1 wg B P k6V16 eY " | % 4 ' P u v c v RY RX Vu4 D1B &%D" 2 p 1e7X6 % 6 X $p1 B c P B 1 ' c % $c&Bi % 1 i 1 b " % B ' c 6 &% | % g Ry" ejg`4 u $" U 6 (2' % QkHP " Y eu u eP 2 cRP#H' " ' eP ' P ' P CP u e&' (P B ' ' e% c e(P c % D1B 2 P c e g gR1 &%9Qv Q&%f'&v 2 F 2 y&% CA#1 (T54 X D" p$1 U B f$e#P(&%e% c DH" B (u 1 (P c & ' &D 9 g 9 BD& " 9 iC'&%$#! 7 9 % " 6 % 1 (&Yuly% 1Qb P dc6 e#Tx W DR " v 4 2 2 2 g 1 ! D ! ! # Arbre couvrant trivial Arbre couvrant mdian ) n & d z A 9 8 9 @ $ P t t t Y 5rU V kH F d y eP @aw(d$ H $ [email protected]'H a ! $ z$ 'Hhe$ ad " ( $ z @ z ~d 1 !z Bd i d iY0 e R n H $ he$ w$ $$ '$ PPSCI # qY1j R R d I d d U U t ( " d Bt @ c mI we$aH )U YH f' Ha0QU ! R SH d H eg0 $ " U r $ H R I H !I& iP C I R s H3 $ @H C 3z $a$ I '& U yeeY H w(a! dhde$ d !H c B SH I U $ $ I $ $ $ R ' d $$ d d0 t QH U BC I V %" H w(0Qea Q vU t H'Y&i t ( U r H U R $ HU ( r yH$ #Sd H 30 QH 1 HI d ~d g e Y&H # $syH$ d i' c Ha!'H d" H )( $ U U $ U $ H r U $ U $ z t S$ z a d d z UwH D I U 9 $r H H H Y h$e$ H U H$ !`Y& H dx Y h f&$ e$ ( !1H U !dCQIH I R u U dR U I& $ R U d d 3H P 3 H @ l' ( d t mI R U d q d 'HQ h$ d"z H )(n d PP U Y& C I d S H Qc d iQI t ! H z c U U H $ $ $ R fHy$ Px V%"H d aP p 0 U U Y c v te$ d" ` vt d $ H CI H$ Q' h$ d r d d I d U H ( # $ $ U $ n f U Q d t t d $ R n $ d"e3 U 1 r H l I PI)H P $ ! e & PQ ft QI H YI)H di I `s H H 6VU %" H $dH HV 9 YY8hP09 sU H H d % V U $ H $ YhP0 )UV h$ U U yeP @H w($ $ $ a0sH w( x g g $ B u " &' ( #"#'' c 5D4' 2 P c y% c DR g1 ' 2 P c y% dc6 &'eY B P D61 DR B g1 ABC AB C AB C ) ! ! # ( ' b=1 a=1 d A B s Contour avec prise en compte de la taille c=3 Contour sans prise en compte de la taille Calcul contour de A C Fusion Hmax A b=1 a=1 d s c=3 Calcul contour de B Calcul contour de C b=1 a=1 d A Fusion Contour de A et B s s B c=3 C Hmax A B B B B B B c #"#'ce&Pv 1 2 (%V6C&Ac 1 eP c FRV B dc54 dc6 z x ' #cp (P B ei y$X5& 5 2 P c 2 (g c B $WD6!V1B 6RI 2 " c &4u4 ' ' ' % P H u6 E 2 ' u B WW | W Y v % #" u 6 P"4 Y P u P Y 'u R(`&4f cRP c ReVd&'R(% f' ) V&'fRQk%`t R6 yXXi1 5 %P Y 6 W ) Q ' (P c c ' i 1 c VBCdA1 B u dc6 B u 5 X 2 71cp B B B c i B 5 } ' 2 u e1%2 FWe&g'|P % &' DB&%B "f 1 5&'ee% 71& Vg2 p #'VR``&'4 4 X 71p Q%&'RY&Yv 2#''Rk%#"!&'#'u RRd"DHYP R`V54V2 5Qv4 ' c u #c2 5#"D4u `4 X $"u $p1 U WieQDH$#"" 1' 2 u h &4Cd Y ` u 2 Y d Y u P % B%IH 9 g X% 7 9 p t 5 c d & a % P$p' @ 5~d R ! $ I z $H R H $ yU wdH [email protected] U U ye eY H w( $ `z R x9 $ qSTI H P f @Y U U $ U $ $ U I H R $ t 0 ( Ic d y eY H )($ SH U t I x! Qfe !Td& t t H % H X( p @H H vU SH i$ H $ H U $ t $ I 3 " d d 5 c 1d !sg H )(# y exY H )( xwt R!R I % z g $ d d Y [email protected]! %gn " U D `d ` QD R I U R #" d d d Y& Y V%"H w($ % bPPf UU Y U e$i$ Bft p"H U Y U T~Ud eF$ R Hf$ yH$ TH ae Y aiI @ `iH U R U I U B B$ 9 H 9 $HH $ Rf7 H H [email protected] "H t U V# H f$ d fY d l 3H e z xdd G 9 8 l g " R $ " R U $dI @H H (vU YIH PR( H fY iPSR yH$ U $ H $ H$ 't $ % R $ I R U $ Pdd % G c d Tt C 5 9 g AC TYf B 9 7 9 ` R [email protected] w( H $ ' QeeY H )($ U ! I H $ R $ e gP 2 RDH" 7X6712 v" X D%#"#'&'e9RF54 X $" $p1 U B R$u" 6 D%" 2 | &DRC Y Y 2c B Y g1 B g 2 p D1e2 #Pl&'Vge7P&'v 2 Q% c w&'RDH" X76712 v" X &' X u 71p ee% 71p RD%#"#'&'eeG54 X $" $p1 V 6 R&'u1g &VDn1 &' v P B ' v 4 2 ' Y 2 Y Y Y 2 c B Y v R ' P 2 t ` c 3 d &% t % TR $ I P0H Qc bd wUd e$ " U eQnmH $ [email protected] t 'Hhe$ ~d 5 d s !H I e edQFU d s &% e ! ds $ $ U d R $ r H $ d r I R U U $ R U ! R U I hPyH$ P fxP t % s P H H U d 10 @)H aPIx '& F " d r H `U R i @!$H I wUd e$ U #e QHmd $ Bx $ ~d %H imh$ # 3 p $yH$ U F I c iYI !%H V%"H $ U R d BRc he$ $ dH 'HP fR e$ $ U wUz w($ d"H v6& Y U Ud Q y eeY aH & i @ U U z ' ( U $z !)(` H %H D fR ` U !eR ! H $yH ! g #` If U x1 H) $ R R 3 2 Graphe de dpart 4 2 3 Dessin final 1 4 4 5 L5 L4 L3 L2 L1 Affectation des niveaux Restauration du graphe Rduction de croisements Dessin d'arbre Arbre couvrant 13 &4 1 4 1 3 3$ 1' 14 1 T3R ( ( A F DB A " 1') ' 4 ' ) 7$ E%)" 5(5597(3C3 51 4&" 2XE) WVU75C24&97(3U7HS) Q [email protected]$ 68363 1 63 763 3 5&23& C2&1" 3 0 ( ' % " G ' $$&$#! 6C1 & ! g u ' Y 4 ' %UY a% k1B F B e% 1 TV5`4 c dehPd% c #"$#"' c u D1B f c % Ri fDe#P' D1B (% 1 g RH B f e2 $B" c % c " ' E P gj " (Q&HvaY "P U 1 2 Vv eFe% 1 Y i g" ' c Vu 2 P 1 D" c 0 5&4d)f' A 5 B RA H B fG&' B P 6 #" 1 &'Rt% c #"$#"' c !ReP 2 b P #c2 !RF' $c1 %P ' ' ' P u Y u 2 B % Y 2 B #&'tD%#"#'&'R``4 X $" $p1 U B RY #" 6 S c U B V!RDH#"' yX n5&4V)f' A e0``4 dc6 P b ' $c1 f&'5 X u 71p v Y 2c B P u ' %P 4 2 g&' B P 6 #" 2 y 1 u i c "g #'V`e`0c 2 2 C&PR!dc2 &%1 l c #'&' dc2 6 ex``42 dcc $p1 fB V&r1 eQH 6 eX62 V Vi v 7pX e11 7X62 p B P 6 #" 2 1 u Re% !5c `4 dc6 4 4 ' Y Q 2 %P 4 6 2 P 1 i 2 P4 V``4 @eQH 1 X6 DY7"e% 6 uffk'#"e% 54 X $" B U R$u" D%" d B u e5 C $" 4 ' P v ' ) ' Y u %P 9 'p% #'X% " 2 ' u 2c B UY 6 ' ' 2 U g 8 W 6 ) 1 2 f c Vu 2 #we&P% c 54 X $" Dp1 a9u A I 2 #Pwe% c #" 1 4 c D%h"aY ' eP B u 2 P c Wg Q82)6 t 6 " R R054 X D" $p1 U B y&%`&4RD%" 1 2 2 6 f&'` 1 QH 1 &42 2 eP B 9&'egG6 54 X D" $p1 aY | 2 Y 2c B B P 2 ' u Y % g 2c B U 1 6 ' v 4 v Y u A ! 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[email protected]@dGPb8a`[email protected]@87531)' W & % # ! $" I V F ( S B S ( U I V U ( S Q 9 B F I c I 9 ( B F I c w I S F 2 I V ( I c uI B 4 q 4 9 I B U c D I H F F y B 6 w I H 9 4 2 6 U I [email protected]`[email protected]@7XXihW5rPqCrdXh7i`[email protected]`8dGhdPWs)pPWprEI58Wp8H I Q ( V d 9 S I S S ( c w I H I S ( S S 6 D U I c uI B 4 q 4 I 9 I 2 D 4 4 ( F 2 B ( S w I U d 9 I H F 2 B 6 w I g d 9 4 uI S U ( w I 0 2 S S ( B 4 @C8TrCk(vYpT7CdXxX7TTPGuRXh`3`[email protected] p3`[email protected]@{DpfPbGED7PpXh{[email protected] B F I c I F wI 0 wI 9 I 0 6 D F F 6 2 y 4 6 S ( U U ( B F D 4 4 B F I c I F wI 0 g 6 ( I 0 6 D F I H 2 4 ( S I 2 S wI 0 4 2 6 U 4 I H F D I 4 2 9 9 2 [email protected]`7XX8Xpw I [email protected]@PGPP7tTp85Tp58WXP8GhX7s555qc I B F ( 6 F 2 B F ( H F I U 4 B F I c 9 w I 4 I H ( S I V ( I c uI B 4 q 4 9 2 4 F 2 y 4 I B F ( 2 6 4 4 I H F D I 4 2 9 9 2 c I B F ( 6 F 2 4 I `@[email protected] XXPTpPqCXp`3`EIv785iCpX`@CE08TXP8GhX`E555dx`@W8ApX59 B F ( H F I U 4 w I 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4XPGTpEIWTWPoXXh`3`[email protected]`[email protected]@' I H 6 D 4 S 2 V I H 4 I c uI B 4 q 4 4 I H B F ( B F I 4 w I S U I S 4 I V U ( S Q 4 I H S 6 4 4 F 2 B ( B F I c 2 S w I U g I 4 D F I H 4 S D y I Q 9 S D d 9 I H g 6 I B D 4 B 4 I B 4 9 S ( U wI B 2 c 2 9 F D F I H 2 U ( @@@[email protected]`PA 6 h7`X`[email protected] I Q ( V d H I c uI B 4 q 4 F 6 4 F D F I B D 4 6 D F I 6 B 4 I I V D S U U ( I B B I I H 4 I Q ( B F ( 0 ( 4 I H F y 4 I H F D I 4 2 9 9 2 @C8TqCk(Xh`3`8WGPX`[email protected]`X8T3788Cm``[email protected]@CXXPdi XXP8GhX`sA55dc I B F ( 6 F 2 u( 9 ( Q 6 D S 6 2 S w I F 2 F 2 B ( w I S I H 4 U c I B F 6 2 4 F 2 ( I S 6 4 4 ( B I 4 I H F D I 4 2 9 9 2 c I B F ( 6 F 2 I `@[email protected] I [email protected]`[email protected]@piXP8GhX`sA55dd`@8i85pdPH 3 % 0 TV 0 1P 5 ~ b { e q q u e k u } k } k u h e q q q k { q q u k e q k { e k } u FidWHl%WY%wiwwW|{ rwnWwrhll(9wiw WiwWWh7rnWch311t t y y ~ b @ED9 fWdhlWllr7i9i7rnWcWwW Q k u k } q k m k e k } u { e { { u { e k u HWF%9AHrvg9w7vtcWr(9rnFHWr7i9vgrnWY9w9WwHcR~ b u { e q { { u j { k m k e k } u { u m k } k h e k { { m e k { k r { q u k } u { q q u ~ k } { U q k u } k } k h { q k rvW 7w(Fr7grSw YFgYdWr3y wt%vv lrn%WY%wgrvW TvrW u q k { { k { e e u u x q u { q { u u ~ k { (9r(H rlnWgFvgrWWh9wFv |r9wgww7r dWWdvFc5rYWrEwwFinr1 u q { e q q q u { q q q q q k { k r { q q q u h e k { 9WrHw7rlvl5crnrrw5w5rwg rSw RlrwnWrU{ rwWWfvYw t t Q j k { q e k { k { q u k } u { q u u } q { u k u } k } k u h @ED9 XCF7rWWnwh7wlrrylhYlWYhdFcr(v7iWc5riWcrgr vW|{ 3e QD q @59 ilr ~ b @ED9 llsr7i9 viwnWcrWwlrrylRYlWcrvWn{ Q q k m k e k } u { e k { k { q u k } u { k } k u of WYvcvt rp t y x t w u rq s ~ k hu u e q ~ q { m k { u q k { q u { q u { yiWy %tcFHRrlSwnWrh9w7rFpWwFWdFrwwhYdWTy q { u { q u e k { e u x k u q k { k q u { k { q k q { o m k h Wcr9vTWHw7cWwicrWWd&ceh wnll vdrdn7lWvj W Yw t t ~ k } k h vrvW ive q q e k } u { e vnrFrg7frnWc|FzFycWwgwpiWv %tsrlUpn7lWvj W ig7f HceWU3vcvt rp u u x u k hu q o m k h e d t y x t w 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I S S ( 4 6 D 4 I 6 ( V I H wI 2 g 9 U c D ( 9 S 6 4 I 2 B ( 2 B F ( 6 F 2 B ( c S D F [email protected]@XsTCWpxo878TCk(vo878TC8G`[email protected]@[email protected]@lPA2 I F 6 B F I F F D H 4 S 6 9 ( 0 4 y I 2 ( F 2 I S S ( F d H 4 B I c c D 4 4 I 9 4 6 D B u( S 2 B F I I S c D F F 6 S I 2 D 4 4 ( [email protected] @[email protected]`RpEI7Xr7WGP8dp5pi`[email protected] ( B F I B 4 2 4 F D 4 9 y g 6 ( 2 0 6 g 6 ( I 4 wI S 4 I H I S 6 B 6 S B 4 ( 9 I H 2 Q 9 D V U S D c ( 9 I H I H 6 B d 9 S 6 4 g 6 ( 0 ( S B 4 I 4 I X``[email protected]@X`XimXP787h8T``[email protected]@d5PPW7pIw [email protected]`X`8H 4 S 6 D 6 ( } F y S 9 V ( S B S ( U 2 6 H D S B F 2 wI B wI B F D 4 I S 2 ( F 2 4 I S S ( 4 9 S 6 4 S I 9 V ( S B I H 4 I S c D F 4 I [email protected])[email protected]@T`iCWEBW8iT`[email protected]@T`iPXT8G8vX' 8 6 4 ` G a ` cHSPbR 8 6 4 9H5 YA9SXWUTSRPHFECA975 4 G 8 6 Q 4 V 8 4 6 Q I G 4 D B 6 @ 8 6 4 2 0 31) ' " $ " (&%#! y 4 I S 6 B 6 S B 4 4 I H F ( S Q 4 I H S 6 4 I H D V B w I c I 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S 2 c I S U I F 6 4 F D B F I 4 wI S U 4 6 D F I 2 6 4 F y 4 I 2 ( F 2 4 I S S ( 4 I S 6 4 2 F wI H wI B wI ( 2 I 9 9 y } F y S 9 V ( S B I H 4 I S c D F 4 I H F 2 4 S I 0 I S 2 c I S U ( 9 4 F D B F I 4 wI S U 4 6 D P7EI8Wpoipph55XI [email protected]@T`[email protected] dXT8o5m8G`X`Xi8WGmX u p u e`r cu T b ca y I V U ( S Q 6 H 4 F 2 B (9 6 2 F ( c 4 9 B F ( H F I @[email protected]@[email protected] [email protected]`qGED7EB7Gu7iTESGXaX8TCGPX`[email protected]`@7TX7pi5`XipIw [email protected] 9 ( 2 B ( U 4 F 2 2 4 D U ( 4 I 2 D c wI c F I I H S ( Q S 6 I B ( 4 2 9 2 B d 9 I 6 4 F 9 6 D 0 4 6 D F 2 4 I B F ( 4 4 I S wI B F 2 B 4 I wI B 2 S U D S I B B y 4 I V U ( S Q 4 I H I 6 2 S B w I c D w I Q I S 6 B 6 S B 4 ( 9 I H 9 c I 4 F d H I 6 0 I F 6 S I 0 S I 4 F D u( 4 F D 2 S S ( 4 6 D ``pI [email protected]`pGpd7P7h8``e5q8qEIWX`8X{[email protected]`[email protected] I S B uI c ( S ( U I S 6 4 I Q ( 9 9 2 6 I 4 F 6 B F ( 6 B I I F d 6 B 4 I B F ( B S D U c 2 B F 2 D U I S B 6 ( F y 4 2 B I S D 4 D @7`[email protected]@C555WX`[email protected]{IjY`[email protected]@u5q5Gue7`[email protected] E7hX`(@qG8F I H F 6 B 4 I 2 6 I I 4 6 I S w I F D 4 I F 2 V ( c 4 I H u( 2 S 6 D I S 4 F ( 4 4 I V U ( S Q 4 H F ( S Q 4 I H S 6 4 F 2 B ( 4 2 9 2 B 6 F D P8`X)Wdhf`[email protected]@[email protected]@@X887fGED7CT5557PsG74 B I c S I U I 6 2 S D w I V B w I B 2 g 9 U c D ( 4 4 6 9 U I y 4 S 6 I B ( 4 2 9 2 B 6 4 I H B AI S w I B F d H 4 I S B F I 4 I H F 6 B 4 d 4 F 2 B ( [email protected]`C755A7PXPmppiAk2jvX7`XhXPa8v`X{ICPp8GED7Cqc S D F d H F 2 B ( 4 2 9 ( 6 4 2 0 ( 9 I H I S H ( 9 4 F ( y 4 I V U ( S Q 4 9 S 6 4 4 9 9 I S 6 B 6 S B 4 4 wI B 2 S U D S U 4 I H S I S 6 4 I [email protected]@[email protected]@[email protected]``gXipIw [email protected] I H B I c S I U I S B uI c ( S ( U PpTpud7`[email protected] [email protected]`irIw Xu8Cr7`[email protected]@uG`d7XPTpPTX7GmX y S 9 V ( S B 9 I U U ( I S B uI c ( S ( U F 6 S 6 4 4 I w I B S D U B F D 4 I 4 4 I V S I V I S 4 D y 4 I w I F F D H I H 4 I S 6 B 6 S B 4 4 I H F ( S Q 4 I 9 S 6 4 4 w I 4 2 9 2 B 6 I S B AI 4 ( U B F I 0 6 I U I F 4 9 d 6 B F I 6 2 H F 2 XXpx8GPPvXTP7h8T``[email protected]@X5vP7Xi55A7P7`[email protected]@8X8xA5k2jixXPi5885 F I 4 I 6 2 S D wI V B 4 wI 2 g 9 U c D 4 S 6 I ' y 4 I S S ( g 6 ( S I 6 2 9 U U d 4 4 ( U B F I 0 6 I U I F 4 9 2 4 ( g 6 I H 4 9 4 F ( [email protected]))[email protected]([email protected]@[email protected]@WH B F ( H F I U y 4 9 2 B 6 4 B ( 9 6 4 wI S 4 I H S I F F D H B F I 0 6 I U } | y Q F 2 S I B 4 6 9 I H I S 6 4 I c ( 9 6 D } y 9 9 ( V 4 S ( w S ( [email protected] pXEI57P7C7EBW7X3)[email protected]@Xs85Tp``[email protected]{[email protected] I w I 4 D U D S U 2 S B I c F 2 B ( 2 B ( I V B I c c D 4 I S B uI c ( S ( U 4 I S B 6 d y I 2 D B ( 9 ( I S H S D F d H F 2 B ( 4 2 9 2 B d [email protected]`[email protected]`[email protected]`[email protected]([email protected]`CXIw @[email protected] " 5 2 0 ) " % $ " 8716431!('&!#! @ % S &T! R F y 4 I S 2 ( F 2 4 I S S ( 4 9 S 6 4 9 ( F 2 2 S D I c V 2 S D 9 d 9 I 6 B ( 9 6 4 wI [email protected]@[email protected]@@[email protected](pPC7EB87XiS I c AI c 9 I F F D H 6 H F I B w I S 9 V ( S B I S c D F 9 4 I 2 ( F 2 4 I S S ( 4 I H 4 ( 9 4 F ( H I 6 I 6 S ( c I S F [email protected]`[email protected]`[email protected]@[email protected] y I 2 ( F F 2 4 4 I S U g I I B S 6 D I F 6 S 6 4 F D 2 B ( 6 9 ( 0 wI F D 4 I H B ( B 9 6 4 wI S 9 I S B F D c y I S 6 Q @[email protected]`[email protected] G`PmC7587X3EIT`GYF i7PG8 ( 9 B I I S B uI c ( S ( U I I H 9 6 9 ( 9 I c 6 4 w I S I c V 2 S D Q 9 d ' AYp7`[email protected]@pREI8TX3I [email protected]@[email protected](y 4 F D S I B D F 9 4 6 D F I B2 6 4 (9 4 F ( 8G7p`@[email protected]`[email protected] [email protected]`[email protected]{IvPTW8WpqXEIW8G8x`[email protected]`[email protected]@PGPF g 6 ( S wI F wI Q 4 I S S ( 4 I H I 4 4 ( 9 ( 9 I H I 9 c I 4 F d 9 S 6 4 2 F wI H F 2 F D H B 4 I S 9 V ( S B I H I S c D F 6 ( I 0 6 D I I 2 ( F F 2 4 4 I S U g I I F 6 F I B 2 6 H ( S B I S B AI B 6 I U 9 ( S w I F w I Q I S S ( 9 I 6 I B S D U c d F I 6 B F ( V ( y 4 I 2 [email protected]@[email protected]`dT`[email protected]`[email protected]@[email protected]@( F 4 S 6 I B ( S w I U D 4 I H B F ( H w I 4 4 D U S 6 I 4 4 I D S U F 6 S 6 4 I 2 ( F F 2 4 4 I S U g I I F d H F 2 B ( 6 9 ( 0 d 9 u( 4 I 2 ( 4 4 I w I PvTPX`[email protected]@[email protected]@~pIw [email protected] 4 I S B 4 2 Q I S I H 9 ( c 2 F 2 c I S c D F 9 B F ( B w I I c c D 2 F w I H B 4 I S 9 V ( S B I H I S c D F 6 ( I 0 6 D F I I 4 uI V B D U q X7``[email protected]@7pqddGh38Wpx`[email protected]`[email protected]@[email protected]@`[email protected] I B B I I 0 y 4 I S 2 ( F 2 4 S 6 I B ( S w I U D 4 I H I ( 9 U ( 9 u( 4 I 2 ( F 4 S 6 I B ( S w I U D 4 I H S I S w I H 2 4 F D I H B 4 I I w I H d ``[email protected]@85WqTPX`[email protected]@[email protected]`[email protected]' y g 6 ( S wI F wI Q 4 I S S ( g 6 ( S I 9 V ( S B I H 4 I S c D F 4 I H F 2 4 F I B g I I F 6 wI 4 D U D S U ( } y 6 D H wI E S ( w F ( I [email protected]@[email protected]`iPX78GPXPrGED78X`[email protected]~F [email protected]@ Q I V G 4 a HE PPHT6 96 FcH5 G G 8 6 4 4 G 8 6Q 4 V 8 4 6Q I G 4 D B 6 @ 8 6 4 pcSXW9S5PHFC5A9HR 2 0 31) $ " $ " &%&! % 4 2 0 ( D53$)7 % # ! &$" 7 B C 81A % # ! 7 % 4 2 0 ( &@91)7 % # ! 8$" 7 6 % 4 2 0 ( &531)' % # ! &$" S 9 V ( S B q S ( F2 H F [email protected]`3P7CW5Wa8XI ` S 9 V ( S B q S ( F2 [email protected]`i87C8AW{v [email protected]`3P7CW5W~dtTP7p7S S 9 V ( S B q S ( F2 g ( c F S 6 B I I 49 75XI [email protected]`i87C8AWaTP7p7S S 9 V ( S B q S ( F2 F S 6 B I S I9 V ( S B q S ( F2 D B 9 ( 6 I 42 [email protected]`i87C85d`[email protected] [email protected]`iPTC85WE2 S 9 V ( S B q S ( F2 @[email protected]@E07hXu`X7u H92 V B V 2 S I V B H F ( B 9 I V B 9 I 2 B I U 4 I S I HF( [email protected] B pEI9 F S 6 B I f D ( 9 ( 42 sTP7p7S @CXEId5t E2 F2 Q I 5Gpu f I I S B q S ( F2 ( D I H D F S 9 V ( S B q S ( F2 p7`[email protected] [email protected]`iPTC85W w y 4 I 2 ( F2 4 I S S ( 4 9 S 6 D U S 9 V ( S B I H I c V B2 S D 9 [email protected]@T`[email protected]@EQi y q 9u e ~ k m { e k k A k 7nr Wv WrrW l(y%h c3w t t y F 2 B ( 69 ( 0 d H I S S ( F D 4 I 0 ( I 2 ( F F 2 4 4 I S U g y [email protected]~pIw j7W7CeG`[email protected]@PtGED77X7WiYgF ij 1 b 3 registers are necessary to compute this arithmetical expression (a+b)*c+(e*f+d)/g y F 2 B ( 6 9 ( 0 d H I 2 ( F 2 I S S ( F D 4 I 0 ( I 6 2 B wI c V 2 S ( F 2 4 4 I S U g y [email protected] [email protected]`[email protected] ij 1 e * 1 f 1 d I Expr=Op2(Op1(b c a) /(+(c d) g) a a) Four registers are necessary To compute this N-ary expression Op 1 1 a 1 c 3 2 + 1 a * 1 b 2 1 c 2 + 1 c 1 d / 4 Op 2 2 3 + 2 2 + 1 g 1 / 2 a 1 a 1 g % " Vq&" 42 88 ( ) 0 ( Q 0 0 y I992 6 I I F 6 B 4 @5558XP8v`XI x I 6 I99 I B TPiE5X`x x v### XPp`57pdG`8`75559 [email protected]@TW x 4 I F S I B F2 4 B I c c D 4 I H I B 429 ( I H I V 6 ( Q I V F ( S [email protected]@8s78TCbWk6jt7pdG`tX8`5875x v### yEBGi 9 9 I U U ( F U y I g wI S U 4 S 6 D S ( U 9 4 F ( H I S S ( F d H 4 B I c c D 4 4 I H I B 2 6 4 ( 9 x 2 D y I S U D S U I F Q 2 I U 9 I U U ( 9 ( c 2 F 2 c I S S ( F 6 u( S I F I c ( S I )[email protected] [email protected]@T74 I H B I c S I U F 2 B 6 H wI S I B B y S 9 V ( S B I H 4 S 6 9 ( 0 4 I H 9 c I 4 F d 9 wI Q F ( V F 2 B F ( 4 4 2 ( 9 B I 4 B I c c D 4 I PppRGED7h8WX3``pI [email protected]`[email protected]`8X{[email protected]@[email protected]`o8H I S c D F 9 B F ( 6 F 2 c 2 H I S S d H F 2 B ( c S D 4 F ( S B I F 6 B F ( 4 2 9 2 B 6 F I I 6 B I d 4 I c uI S D w I V B I I H I 0 6 I S U ( [email protected]([email protected]@T`[email protected]{[email protected]@PX78' t q url k { q { e u k m k e k } u { ~ f Wcr(v w7W9iviwnWcFe ` w v q u k | e q k { e k } u { e k { k r { q u k } u ( ~ k } k r(9rr WnwFn7frnWc|FfirSlr gYlWEyiwwWz{ # gf Wc1vcvt rp u s t y x t w u rq r B F ( 0 2 6 4 B ( B 9 6 4 wI S I 9 I 4 2 9 2 B 6 F y I S 2 ( wI F 2 9 B 4 I 4 I S S ( 4 I 9 S 6 [email protected]~EW7mC7E8TX3E`55578tU @[email protected]`XX78TCvXEmPT4 S 9 V ( S B I H F D 2 B ( 6 9 ( 0 ( 9 I H 9 6 9 ( I H I c V 2 S D 9 d 9 I 6 S I S B F D c wI H I H B 4 I 2 6 4 2 6 I I H B I S d [email protected]`[email protected]@[email protected]@[email protected](viPipT`GXPx7XEB87W8h8p`(@{D' ~ `{ Q D9 [email protected] 0 q m k j h e d e k { k r { q u k } u h { k { e e q u { q { u q u rln7lW7W vs FceW 7sirSlr YFY{ vs%Wy dWWWPWcc ld% ' % z q f % S d P I G i AQ c 4p#I S ! 8 7 P I Q #G a Y [email protected] X q u q { u q { RTWWvFc5$tc 8 7 P I Q #G f a Y `[email protected] X f `% d P I VQ c #G Q @ED9 S W9 q u q { e dWWWhvFhf~ e q u h e vvnrFr{ &Wg%Hvgq 5R7rnWci e k } u f % S d Qc P I G A4bWY `8 7 P I Q #G Q 9 [email protected] 7 P I Q 4G a Y ``@ X S W9 q k } k h e q q q q { e u { q u k e q u q { u VlrgdHceWp54iwwW ii7rwnWwlvFSr7WFTWWgrdWirdFiWc9 `P 7 P I Q 4G Q 9 @EDi8 7 P I G S @ Q #UTA9 q u q { u RdFWrWY e q e k } u 7iR7giwgFch 8 7 Q P I G 4HWc dw { Fe e q E XwnWr{ lvrWg9wAdWir TWWY (ndWrRwq 57ArnWYu u h e q q e k { { q u k e q u q { u { q q u ~ e k } u u x u k u q { q u k i h e hu k } k } WvcFrAwWv tllwdWFir l lWrnWcu ~ E q u h e q e k } u q WFvgWw{ iR7rnWciRllu D`@5 Fw r erhdWHlrRw k hu sj q q u e q { e q q e k 7ir7Rl C Q D9 { e d k hu k } u e q Ff HceWgF lWpcW7lr q u h e k { e { { e @ 9 d wnWw|{ 3wWWAg75wWWBA35 FceW3 ~ yv84hWiW idWHhvgWwerTWSFWcWWiWw4WSrl5wR59vFicg7v wW { q k e k h q u e q q q q u k q { u k q q k { { q { k u 2 ~ { 6 5 u { { { q u 2 ~ q 9ye4(T3SwnWrFe { k { k { e { } q u e q u h e q q q { k q k m k h rWWirvF7drhdWHvgWw{ i5rWS5ln lcn7lWvj W Yw t t ~ 1 m k j h e e k { k r { q u k } u n7lW7W p7 FYFfvAwlr ylfWAY ~ f ( ~ k } k u )vrvWC{ ' `{ [email protected] 0 rl dY q q k Q D9 t y xt w u s t q of Wc 91vcvrrp { k { k x u q WrSw y%Rlr e u k e q q e k m k e q k { q e q { k k vg%vHgvglvgr7i9n7nwWWrr7fnWrA9wilwv B ' B q rl f e u k e k { 7Yw7gi7Wg%HvgrWg ld% ~ q u % & j CWv q u { q { u TWWWce wnWwq q q { q q e q k { q e q tc q &lv7hrWWr7nWrgn q k m k j h lcRgvlW7W 9~ e q u u 7gdWg9W f e u k e q q e q { q q q k } k q { q q q { { u m q 7n%vHp7 l7vl%rriwwFWwhliWSg9w9FrHwR cWr&c{ u ~ u j F7 { k { k x u q q u h e k { { k { q q WhrSw y%5llwnWw{ hrWn9wW $ # h { q { ivr 9Wcw(9WriwwFrWcWiyWwwl9wiTWrdHTrvgWwWig 79Wcw(9W u u u q k } k q k { k q { q u q { ~ q q q k u { e u u u q k } k q k { k q d k k { k { k e x q riwwWlFSWiy lrf w clcrr9vwWWicevg%vHrrl% FydllTWWs u { k q u k R B C ! " { 9v9r( of k } k u { u u u q u q { k q u rvWf9WYr(9WgdWwlldF# ~ q q rvgWwu t t Yw ~ 87 % S &T! R # k q u { q k k ~ k } k u y wRRlr(9Wivlcich33vrvW|{ # gf Wc t y xt w u s t q 1vcvrrp " 5 2 0 ) " % $ " 8716431!('&!#! F G @$ & y### Q & 0 0 & ### & ! ! A 8 P 0 ( S I 4 h I F 2 I U 6 H I V 6 ( Q I c S D (9 4 S D9 ( p`[email protected]@[email protected]@ 5 `B Y 1 3 ~ TbB X8GU 0 U! 3 S 6 D x x r [email protected] I wI B D 24 F 2B FI0 FD S( [email protected] 8 T p 8 P q k WW5 %rvRYg Wv rl { x u { A { e k q 5 $ & ### & ! A 8 P u % { ci u j { e m { j k x u ' VTYHwdWrwTW7nlWw rTHXWY s t y S 9 V ( S B I H 4 I S c D F 4 I H F 2 2 F wI H ( 9 I H B F I c I B I 2 H B F 2 0 D S U wI B 2 S U D S U I B B [email protected]`iPvX7WGPmXPtGED7EB8px5PmXX`hX7ESWvXEI3T8pIw [email protected]``pI & I & 0 WW VS U I & ! ! x 0 0 ) ) R R w P u Qw US VT x q u { q q k k q e u { k Rl(9Flhrdwclcr7rYi wR x e k x 7nlWre3 s 1t st 0 0 y x apIw p3`[email protected]( u( I 2 D 4 4 [email protected]`[email protected]~n59 & p%x y### [email protected]@[email protected] 8 XEIGi 9 V ( S B I H F 2 B ( 69 ( 0 ( B I $ x I V 6 ( Q I V F (S S 6 D U B F ( q ( I F 2 I U F BF 2D y wI 2 H D c 4 ( U B 4 d F S I 9 V ( S B I H 4 S 6 9 ( 0 4 I H 9 c I 4 F d 9 I 6 4 2 6 U wI B 2 S U D S U I B B I @[email protected]`X{[email protected]`[email protected]`8X{Ip87A8WpIw [email protected]``ph [email protected]@[email protected]@CTCWohoPo`[email protected] 3E F ( q ( 4 w I B F ( 9 U 4 I S S ( 4 I H I 6 ( S I S uI H 2 4 F D I F F D I V U ( S Q ( S ( U I I H I 2 6 4 ( 9 4 F ( y d ! I d I 6 2 ( 9 B 4 I 9 y 4 I F 2 ( S 4 S 6 9 I H S 9 V ( S B I H 4 S 6 9 ( 0 4 I H B F ( 4 4 2 D S wI H I S H S d 9 4 F ( H B I c c D 4 I 6 ( V [email protected]`[email protected]@T`[email protected]@[email protected]{[email protected]`[email protected] I H 4 I S S ( 4 6 D 4 4 I H I 2 6 4 ( 9 B F ( F F D H S D F I H 2 B S ( U u( 2 6 S B 4 F D w I B F ( 9 U I S S d 9 I d 2 D 8tX787Ct8G7eXPs`[email protected]@XI 8eES77CWfEB8``[email protected](pipEBGi R R ~ q u &k q u o e q u k e k rWPcr(w b iwYg7il(crr Wiw m k e q k } u q e q k { q q W9evlrnWcsr7rWsrPlE k m k e q u q { r7i9e7edwwnW# iYYdW&llhiwwWp k k e q k } k u 4 ( H u % s t y 49 p5W 4 4 6 9 U 6 ( ( S 9 V ( S B I H S 6 I 9 ( 0 S 6 D U B F ( q ( I S S ( F d H I F S I B F 2 B I c c D 4 B 6 D B I 6 I B 9 6 4 wI S F I 9 [email protected] & [email protected]`[email protected][email protected]@787Cn8k6jPp`5pqG`PG`oPd`587X3nXe 3 6B 0 G E C B & G 0 @ FD! & D2rrl7hw7W97FFTtWgp{ u ' ~ q q k e k m k e u { { k u k e u j q { u ! d 9wsr(AYwHiA7Frd7lTw { % Q 0 @ & v### & @ & ~ u k e WcyYwHi|A7q lrWUiwwF ipvwTW7j q { k } k h e m { ! d ) k x e nlWr#7 C 9y### 8 ( 1 8 @ 8 9FA9 m u k } k { q { q q u k u q { { k } k u { q u j q { u wcWir llrYw(93vgWwdWSTv9r(ervWrlYFrTTv u % s t G$ & y### & 0 & y### & ! x P ) d Fcu k q q { e k m k e k x q k wwi5vnrFrpWr7i97nWwWW 5 6B 3 B 1 k { 0 3 4! 2W & ! 0 & q l# W9rFTWhWs u u u k G$ & y### & ! q k k m k e WvdSriwvcr7FFTtW7 u { e x 3 ) ci5`5vnrFrAFw7W9ivglWw %wdH|(~ $ & v### & { q { e k m k e k x u ' %x v### x q WEcWH#wnWwUnWY % s t k { u " q u { u $ y I CdPH I B F I S wI 2 H S I 9 V ( S B I H S 6 9 ( 0 I F 6 B F D 4 I F S I B F 2 4 B I c c D 4 4 9 4 9 6 I 4 I F 2 I U F 6 4 F ( H B F I c c I H 2 0 wI F 2 `X7pms8)[email protected]`ix8)[email protected])XPTp`57pddG`XEI)58X`@[email protected]! ~ k } k h e m { j m u k } k { q { q q u k u vrvW i7drTW7drcWirAh 5llYlr(c% q { { k } k wnWrrdWSU9vr(rvW ~ u { q WwwnWwq u { z q { e k q u j WwiWy rl|YHwd u ( u % s t @d ### % d ! d k Wd % k } k h k u u 3rvW iir(FYF d v### d q k } k q { q u u k u k k { lrvWWrcrS9WweeYw7sWd u u (FYF& rvWA WY k } k u { u ~ k } k e k m k e q k { q e } q u h TvrvWvvw7W9evwWWsl7rnwwdw i E % C 5 % 7 u @ % " Vq&" 42 88 ( ) 0 ( G 8 9### 0 9 & 8 ### 8 9 8 9 & d ! d A 0 0 r CWEWWpxm`Xa%GE7CpA5W8Ck8y 0 8 [email protected]@mpdG7X`a8``A3hu5ku S ( U I 2 F wI H B 4 I F D 2 B ( 2 9 U U ( d ' I F Q 2 I U F 6 u( B F I 2 B S ( U U ( 0 4 S D 9 ( B I c c D 4 9 I B F 6 I B 4 2 g I 9 2 d y #! C $x @ 8 $x # 8 [email protected]@W`X{Ijtt I F Q2 I U F d H I F2 ( S 4 ( U B 4 d F 0 r Pi)X`vp3PT4 I 6 9IB BI I g 6 [email protected] & [email protected]`[email protected]`ipEIdX78gEIex EBGi)y [email protected]@7WU S 6 DS( U 9 4 F( H S 9 V(SB I H S 6 9(0 I H d I H BI c c D4 S 2 cIS U 9 2 D I F2 ( S I H 4 I S U D S 4IF 2I U 4IH BFD XPGEQXuX8xG`4 8 X5rjC 9y### 9 @ 9 ! PiX`[email protected]@[email protected] 4 I 9 u6 D 8 8 8 d I 6 9 I B S I F 2 ( S I H I 2 ( F ( 9 U I S S ( F 6 2D y I c uI S D w I V B 6 H F 2 B ( S B 4 F D c w I H ( 9 ( S I 0 uI V ( 2 6 I [email protected]`[email protected]@jWoh 0 d R ! 8 R i #I d 8 q r Pi)X`[email protected]@[email protected]`PGu7EWT``8Gh8H I 6 9 I h I U D U F Q2 U F 6 I S2 ( F (9 U I S S ( B 6 D B S 6 D U I S2 6 S B 4 F D I BFXI``BpIdTSpIu [email protected](FGDE7BE74GuUGhCUvW6!"[email protected]`[email protected] B c U 2 2 D c D S ( 2 B 2 B ( 2 9 U U ( g 6 I H 2 F wI H F D I 2 6 4 ( 9 4 F ( y 8 oc [email protected] 8 Tp`@PtU IS UDS U I F 2I U 9 (SIBD F F ~ R { k q { q k v WYPrlnri(lWdPv # 8 k u w9w1r(l%F% w%Wwrl&&~ u { q h { k q { w c 8 9 0 8 #I i 8 R ! ` 8 c R q { e u ' ~ k k u j u { q Rcsv|vcicYFrTnRlr 3 q Ww5 u { q k F u e q q e q u u (9Flgiw TFgvgvnrFrg7ndWg9FF" nYHwdp1rfYFrTpnFrdWi u j u { u u j u { k x q u k ~ & V 8 ! q k WW 0 & ! 0 & { k u e u k j q { 9w&r(iwcrcFHY { 8 c 9wr( u h u e FFtcHl iT ' u G$ & ### & &! 8 v B P m { j k x sdrTW7rnlWrs7e ! 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[email protected] WXxH y B I S I B F I c Q ( S S I F 2 4 4 I H S I D B 4 I H B I c S I U 9 2 r 9 S 6 D U 4 I V U ( S Q 4 I H F 2 B ( 4 2 9 2 B d 9 u( 2 H w I S " " 0 " $ % 0 ) 1!G!`47(47VD3t) T1 7 GRAPH DRAWING PROPERTY PLUG-INS INTERFACE Tulip Framework Kernel CLUSTERING PLUG-INS INTERFACE OPTIMIZER SIZES COLORS METRIC 3D VISUALIZATION MODULE GLYPH PLUG-INS INTERFACE Tulip Software Tulip Web Service INTERACTOR F g V x S I U I V U ( S Q 6 H I S 6 B 6 S B 4 ( 9 I 6 uI 4 F 2 S B F 2 B I 4 I 6 2 S B w I c D w I Q 4 F 2 B ( c S D F 2 4 9 I 6 uI 4 F 2 S B g I I V D S `[email protected]``q5qPiXp85T`5mpvXPi5T`[email protected]`3hPT378U U d 9 I H I w I F ( 9 6 c 2 4 F 2 B ( 4 2 9 2 B d 9 I 6 S 2 ( 9 B 4 I 9 y I V U ( S Q 6 H I 6 uI 4 F 2 S B g I F D 2 B ( c S D F d 9 I B 6 D B w I B AD 8Ck([email protected]@5p`X)[email protected]@R8PiXp85T`[email protected]`PG`[email protected] I H 4 F D 4 4 2 ( 9 4 6 D F I H 6 B w I I B B I 4 F ( y 4 I w I V ( 4 I w I F F D H 4 I H F D 2 B ( 2 9 U c 2 4 ( 9 u( 2 0 S I 4 B F I c I B I 2 [email protected]@P87p``[email protected]`XdX`hX7ES8H 2 4 4 6 ( B 6 I U 4 I 2 D B ( F 2 c D 4 I S B uI c ( S ( U 4 I H F 2 B ( 4 2 9 2 B d 9 I 6 B F I c I 2 ( 9 4 uI S B w I 0 S I 4 D 4 F D 0 ( 4 6 D [email protected]`C85WGhxX7`[email protected]@ApXp`7p`@[email protected] y 4 B F I c Q I 4 4 I H S 6 I 6 Q F 9 ( 9 B F ( 4 2 9 2 B 6 wI B F I 4 wI S U 2 6 9 I I c c D 4 F D 2 B ( B F I c Q ( S I H 4 I H 2 U ( [email protected] 4 I c V 2 S D 9 ( 4 I H I (9 U F I I S B B I c I H 2 D 4 S 9 V ( S B I H 4 I S c D F 4 I H 4 ( 9 4 F ( H I c c D B F ( 4292 B [email protected]@[email protected]@AWX7``pPEBG`[email protected]`[email protected]@[email protected] 4 I 9 4 I c V B 2 S D 9 ( 4 I H wI 2 g 9 U c D ( 9 S I 2 9 U c 2 4 I H 2 D 4 B F D S B B I c S I U 2 4 9 9 I 4 I B F ( 4 4 I S wI B F 2 4 wI B 2 S U D S [email protected]@[email protected]`G7``ppWpXEI5Xh3pX`@77X7p5xXpIw [email protected] 4 I H I S 2 ( S B g I F I u( 4 F D 2 S S ( 4 6 D F 2 4 I 6 B 4 I I 2 D B ( F 2 c D 4 I S B uI c ( S ( U 4 I H S 6 I ( c B S w I B F d ' y 4 F 2 [email protected]`[email protected])[email protected]`X7ESG`C8AWGhXT`[email protected] dpA I p5k2p8GED7B ( c S D F 2 4 I H 4 w I B 2 S U D S U 4 I S B 6 d H 2 B S D 4 4 I S I 2 ( I H 4 F D S B B I c S I U 2 6 4 I S B uI c ( S ( U 4 I S B 6 d H I H 6 B d [email protected] [email protected]`[email protected]([email protected]`[email protected]``pdTpuWX7`[email protected]`[email protected](jdP87pIw v9 4 S I 0 I B S D U ( 9 S 2 S 0 6 d 6 B F D I F 4 B ( 9 6 4 wI S 4 y 4 F 2 B ( c S D F d H F 2 B ( 4 2 9 ( 6 4 2 0 ( 9 I H I F 2 ( c D H 9 4 F ( [email protected]`[email protected]{DjvGPv7C7EB8TX3XI [email protected]@[email protected]@8H I ( I I H D V B w I c I F 6 B 4 I I V U ( S Q 6 H I S 6 B 6 S B 4 ( 9 I H 2 B S ( U u( 4 9 6 9 ( 4 I S 2 D B ( F 2 c D 4 I S B uI c ( [email protected]`[email protected]@f8a7P7hWT``fAYPoES77CWneXIw [email protected]`C85WGhX7`[email protected] ( U I H F 2 B ( 4 2 9 2 B d 9 I 6 wI 0 6 D S U B F D 4 I V U ( S Q I H F 2 B ( B F I c Q ( S ( 9 S 6 4 4 6 F I B D 4 B ( 9 6 4 wI S 4 I [email protected]`[email protected]' yI c V 2SD 9 @[email protected]@[email protected]( I S B D F S ( U 4 6 F I B D 4 B ( 9 6 4 wI S 4 I H I 2 ( 9 6 Q F ( F 2 B 6 9 D 4 wI S ( 9 S I S D 2 9 wI c d H I B I 2 H I F I 6 wI 4 F D S 6 D T`@PYCq8iX`[email protected]@[email protected]`[email protected]@k(jR`hXTES8sh8XPiXi8GhqPGuU [email protected]@[email protected]{[email protected]@[email protected]~k(jH 2 ( S 6 ( F 2 B ( 4 2 9 2 B 6 F D y I 2 D c wI c F 2 B ( U 6 d 9 I H F D 2 B ( B F I c Q 6 ( 4 F ( 4 4 I wI F F D H S D D 4 I H F 2 B ( B I d I U ( B d 9 S 6 D U w I 4 2 9 2 B 6 I S B AI H S D 9 B I H 9 D Q F 2 I I H 2 6 9 I S 6 D U 4 F D 0 6 D S U 9 4 6 D F I c c D B 6 I U 9 d C7pIw voPGui55578aT`[email protected] [email protected]@PGT8qEI8GPadGhpPXu5k2p4 S I F 2 c S I B wI H S 6 D U B D ( } y 9 ( B c 2 I V V 6 I H I c V 2 S D 9 ( 9 I 0 6 D F B 6 D 6 H I 2 H F D D S U U pP5dTp`pe8GtGG nPA 6 [email protected]{[email protected] 5X88T8! 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[email protected]@[email protected]([email protected] y y y y y y y y y y y y y y y y y y y y 9 ( B c2 I V V 6 I H I c V 2 S D Q9 d9 I 0 ( F2 4 4 I yy [email protected]@[email protected]`@[email protected] y y y y y y y y y y y y y y y y y y y y y y y y y y y I c V 2 S D 9 ( I S B D F I 0 ( F2 4 4 I ysx58idTpEIT7C( [email protected]@[email protected]([email protected] y y y y y y y y y y y y y y y y y y y y wI 2 H D c I S 2 S S I H I c V 2 S D Q 9 d 9 I 0 ( F 2 4 4 I y y y y y y y y y y y y y y y y y y y y y y y y I S 2 S S I H I c V 2 S D Q9 d9 I 0 ( F2 4 4 I y TpEIT7C( [email protected]@[email protected]([email protected] F C y I C y C y y 5C & ! & F [email protected]@p`C58r EA86 y y y y y y y y y y y y y y y y y y y y y y y y I 9 ( 4 2 9 2 B 6 wI S I 9 9 I 2 2 Q D 9 I c S D I B ( 9 h U 2 9 g g g B B y 5Q Vg Vg VVg Vg g V # Vg ( ( ( y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y 4 S I B 4 69 4 I H B F 2 B D 6 I V U ( S | y G fXTp``[email protected]@i P fy y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y I 6 uI V B 2 9 2 Q y [email protected]! Ri P fy EU5W6 P$w @i y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y 29 I H y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y fy [email protected]@[email protected] @i 4 I 2 2 ( S 2 9 4 I H I Q F ( 9 wI w y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y 2 9 I H 4 wI B 2 S U D S h F y f EU586 PiXpIw [email protected] z y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y @z y EU5W6 P8ACP5bI i 29 I H 4 F2 Q 69 h y z y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y @z y EU586 PvXuiq @i 29 I H 4 I U y | y y y y y y y y y y y y y y y y y y y y y y y y U29 I H 4 S 2 V 4 I H F 2 4 69 F d H I V U ( S y @z e5586 PTpEIWTWX8rGEDT85p85k2PWCTi3i F y y y y y y y y y y y y y y y y y y y y y y y y y y y y y Gz ry [email protected]@GmX i F D2 B 69 D 0 F D (9 I H 6 ( q D y I z [email protected]`eX5i y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y B F I F2 B S I U F D F I99 ( 0 S I B F z y y y y y y y y y y y y y y y y y y y y y y y y y y y y y I c c ( S Q D B 4 2 d 9 I H F 2 B ( 4 2 B wI S 4 2 | y @z @[email protected]@@``A8kVvPRGED7C757pih7AibX5i z y uC7pfXvIu 8i852 Q 5i y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y I U ( B wI I c 2 6 F y z y uC7pXvIu T`C89 X5i y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y I U ( B wI I c 2 S B ( 6 y z y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y I U ( B wI I c 2 4 2 D y @| uC7pXIu 7AG7S X5i z y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y I U ( B wI I c 2 g 6 I F y @| YC7psXvIu 3PXY5i z y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y I U ( B wI I S 2 c I S h I y @| $C7pnTpvIu dX7b5i z y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y B S ( U wI H I H I S S y @| i7CWpxP7W7mbX5i @p88XiP [email protected]( [email protected]``[email protected] | y4H6IDF B F ( q ( I S S F d H 4 992 6 I I H I S c D F 9 S 6 D U 4 4 6 ( I H F 2 B 6 2 S B 42 y @p88XiP @GX787C( [email protected]``Ai 5i | y4 H 6I D F B F(q( IS S F d H 4 992 6 I I H I S c D F 9 S 6 D U 4 4 6 ( I H F 2 B 6 2 S B 42 y @| y pg PeG57h8Gl y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y B I I H F D2 B F D FI Xf ! hpeG ! 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