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! # ( ' 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'&'R@Rw5b 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 $" c ReP P 1 e W y iR&'fV&r1 &' B &'fRP c Te% b B &%TeP c % i v Vv" 2 u #c2 5ffV T2 e&%f G2 P c g W 1 g@ RQH B fW V``4 c (G$" c ' c ' u 6 " c | P 4 ' %P W 1 g@ 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% $" 2 3eP 1 & Vg&' 2 y% 6 e6 #'2 yD%" #c2 3C&PxRY E eY4 xD4R1Qb dcP 6 Q(%2 #1&'VQv ek'% P " 2 &'R% " u P 2&' P c I54@X D%$#"" #''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 ! 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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 Y@P 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! 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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 ! 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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 pX75@85WXT87CvXEIv87j@85GEQ@id87EBT@@EQ@k(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 X@EIP8GPf88X`pYpEI8@T`378GPEI3pX7ES@8AWX787CmXPm@pEI8@WP8TCqX7aU 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 @7ES@3tGEDT7X783h`7PGh88vP7eG57C85@Cp 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`pa@TCRhnPWp5@pREI8TX3I 87EBT@@5@k(y 4 F D S I B D F 9 4 6 D F I B2 6 4 (9 4 F ( 8G7p`@PnEIY8GP@`587fAr8@ yP@TpxXX78TCXP`7@5p5mPm5WX78X{IvPTW8WpqXEIW8G8x`XpEI8@T`iP7WGPr@X@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 h@7ES@3sGEDT7X783hP8X588@T`dT`pT8Xx@TpX7W7CXPig`T@d5k2jqPi@8T@PpX7ES@( 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`CTpx@X8v@8XTGPX77XhiT8Y8P77ES@3aGEDT7X783h88k6jeGED7CW5@~pIw vgXTES@77XhXF 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``5Gp7xPG@q585d78GPEI@7pqddGh38Wpx`XpEI8@T`ivP78GP@X@PGPh@@`Xu7@uiV 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 ``pheX@pX75@85WqTPX`CTpx@gXPeh@AWn5seX7ES@3rTPX`CTpx@gXPrp7px578GhtPd7Xtpx5k2' 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 P@TpxXX787Cd3@p58@T`iPX78GPXPrGED78X`3hP8mGu@78~F GPXTCfP@X@ 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 pEI8@T`3P7CW5Wa8XI ` S 9 V ( S B q S ( F2 ~pEI8@T`i87C8AW{v pEI8@T`3P7CW5W~dtTP7p7S S 9 V ( S B q S ( F2 g ( c F S 6 B I I 49 75XI ~pEI8@T`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 p58@T`i87C85d`j@8iX5v pEI8@`iPTC85WE2 S 9 V ( S B q S ( F2 @DrA58TvGEQTP7a8@mpEIP7YEqX@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( 8@ 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`d7C8AW@r P3PpEI8@`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 pX7ES@W5WX7W7CvXEIvPGupEIW@T`iP875T@@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 jGED7C8A@~pIw j7W7CeG`X@X7ES@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 GED7C85@CpeIw jiTES@85WT87CeG`oX@X857p1W7EBTCtGED7TX783roI 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 P8T8@G8T8@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 EIAXWC@i8p38YTPGhTCWEItW@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 )o78@78PG5XIw XWC@q585dT87Ct8dgpPX@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 XpEI8@T`3PTPXEI@CXPEIWX`8X{IpoP@885i@7T5@5pm7pqG`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 ( 78GPEI@8i5d5WT87Ck(jGED7CqT@l78@T`P8@T5557PXP7hXuh{IpXp@p7mh8v@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 s@~EW7mC7E8TX3E`55578tU @7E@X5Am`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 pEI8@T`iPqG57C85@C58W8p5@piPmW7EBT@@EQ@k(viPipT`GXPx7XEB87W8h8p`(@{D' ~ `{ Q D9 0@Ee 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 ! 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