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C Onvection In Stellar $tmospheres By Regner Trampedach Master

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R 7 M0[;DSKLi W 2 ?J@CB Wk=;?-R M: $ T\=3DC@7Rgf @SHJB ?QKNl YxL =g@SKpR M R P1 K ? KNM*oaRp oaB3i  =33 =3M\i>=;?-I B MJBEB3ij=  @SHJB DCB3?ARN YJ@CKNR;M6 B UE=3M>[;BE@ JI R;D7@SHJKL?I[ DCKLijb-Y\?AB ipM !LX I +  2& /3    l(=1 i(2 7HJK U H KL? U HJR ?QBEM @SR1[;KNoaB7=n[ RaR%i R TJ@CK UE=d i*BETJ@SH ?CUV=p B W   FIHJKL? B<*1 TkDCB3?S?QKpR M i*RaB ?MkR;@ f R p R @C HkB0KLi* B = Rgf #  2& F `  ?A@CDSKLUX@ $ W # YJ@ =;?  K ?1@CHJB0oaBVDC@CK UE= KpM%@CBE[ Dq= Rgf !LX YA^  !v  0x 2 0  W 2 /3 UE=gM B ?ABEBEMj=;?Z= ?Ql0RaR @CHJB i oaBVDq?QKNR;M(Rgfi j   i(2 j  FIHJB>[;DSKLi6KNM @CHJB>HJR DCKdER;M%@q= 1 i*KNDCB3Us@CKpR M\? K ? DSBE[;Y: =gDVW1=gMdi6KL? MJR @0R;Tk@CKpl K EB3i KNM =gM $ 7= $  b M\?Q@SB3=;i0@SHJBeHJR;DSK ER M*@ = B<*1 @SBEM%@IRgf@CHJB ?QKNl YxL =g@SKpR M\?-K ?7U HJR ?QBEM(@SR0UXR M*@ =gKNMP= UXBEDS@q=3KpM M%YJl # BED Rgf[;D =gM%Y:p B3?sWJ@CR l(=a BG@CHJB ?QKNl YxL $=g@SKpR M # R1 $ = DSBETJDC$ B ?QBEM%$ @q=3@CKpoaBGT\=gDS@7Rgf @SHJB ?Q@CB L =3D ?QYkDQf =;UsBI FIHkB HkR;DCKdER;M%@q=  o =gDCK =g@SKpR;MjRgf =3M  Y\=3M*@SKp@ K ?7=gM = Dq=g@SHJBED7l0R%i%B3?Q@VWJl(=% KpMJ[ @CHkB^?AT:p KNMJB1KNM*@SBEDCT\R =g@SKpR;Mj?S= f BaWJBEoaBVMl7 KN@CHj=^T\RaR;D1DSB3?QRp YJ@SKpR M     <       b MJKp@SKL=  UXR M&\# [;YkDq=g@SKpR M\?nRgf@CHJB ?QKpl Y: =g@CKNR;M # R 1B7 K  l0R ?Q@/p Ka B< $ MkR;@ # B KpM(BB aYJK NK # DSKpYJljW # YJ@y 7Kp@SH = f =gKpD $ Dq=3M\i*R $ l # oaB<pR%UXKN@ $ #\B< i W7@CHJBEDSB 7K  # B!?QYJDST:pY\? 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O=:2t= 4 R6= 4 0 82@= I4 ?4 Q Q ;4 = eg K0 R+= S2 J4 0 != J4 2t= = I0 O= N4 64 = = g 3= ^2 2@= )0 T= 2 2 = 64 G4 ;4 = = b= Sg B2 b= g 2 2 B2@= = eg A4 4 . #4 = I4 t0S4 != +4 ^2 = <2 2@= 84 g b= 4= g c4 ^2@= #4 64 J4 J4 b= 2 52@= 2 = 2 = = 2 2 ;4 2 2 2 b= = 4 eg 2 ^2 J4 = L4 Y. +4 2 = 4 Z2 = 2 = NQ I4 4. 2 R6= . 4 G4 #4 = G4 = = ;2@= J4 2 = 84 = ^2 2 G4 O= 2 = I4 2 = O= = 2 2@= 2 4 G4 <. 2 2 :0 2 = 1 2 = 2 = = 2 b= 4   4 Q LR+= A2 b= ^2 N4 I0S4 G4 = b= 64 = 64 = 2 0 2t= +4 g . 2 J4 = 4L. 2t= 2 4 2 ;2 = :0 O= eg 2 4 2 :0 O= = 2 ^2 ;2 Z2@= K4L. 1 I0S4 g +4 Z4 4 = != 2 2 = I4 = = = +4 80 b2 54 !4 = +2 ;2@= P4 b2 64 Q LR+= 4 4 G4 b= . +4 =:2:s2@= 64 84 @. := S= = = J4 ;4 <2 J4 2 = a4L. 82t= 4= ;4 2 @. 64 "Yµ 2     ‰Š…5vm…5ˆ_¤p‚ K " €bY¤ 5bY¤ H  * QKc‰Dd_¤l‹  Xl’7g bY¤ c¯ ( (2 & +K7d_m\_b ‹ g c 1¤ +bYvmv _ +r _€m‡lvmb g * QK ‰od 1¤l“bs¤ ¹  _" 4)45¾ % ªbY* … +‚|bY¤l’ ;‡eB…)\+‚…;¥ ‚?ˆ ;¤D‰s‚?b1‰Š…)\+j[_d_…5‡e…7‚|_d_bY¤eS‰ _¤l 5dc‡+…5m\H‡p‚ g  : ¾ : ¾50 " €bY¤e¤lB\ 5‡l…)\ ©b1j " 454 €d_b#…5 )‰ŠB‡|‘º_¤l…TXlb1‰Š‡ ²…)v ( ¦«\k‚?‡lm‡lˆ_‡eb%…;¥­°dH‘f‚?ƒ‰Y‚ V g °ˆ _vBƒ‚?d_m\ €v )‰o§c*€bsvBv )r  ‘c\ 5‚Œ,l¹”¤ Y‘ g  Q" 454 : ŠK ‡lbYvmv ;¤ bŠMnb1‰N‡lB’7b†‡ebY“+bY¤ ;‡lˆf¤lb1‚ 1\+j 1\ 5ˆH, v 1¤£jH 1“bY‡ebY¤D‚”jHbY‡ebY¤l“m\_b1j c‘Ž‡ed_b[B\c¥©¤ ;¤eb1j +ˆ_#“bY‡ed_…cj u¦ ‹”] * $ ‹ bY’cS‚?m…5\+‚†ˆ+‚|B\ B“f¤l…1’7b1j V ˆf¤lˆ+‰Ši  ·‚?‡ebYvBv ;¤ 1‡l“… ‚?_dfbY¤lb1‚ g  g (5&)( & 4)4 €v )‰o§c*€bsvBv r  ‘c\ )‚«,e¹ª¤ Y‘ g  QK “B‡ed _¹ a" 454)¾  ´ \%‡ld_b>jHbY‡ebY¤l“®B\ 1‡lB…)\-…1¥‡ed_b ‚?…)v ;¤”B¤e…5\ fˆ_\+j 1\+‰Šbˆk‚?B\ ] bZ¦vBm\_b1‚ g  g ( 4)2 ( " €… 5b1‚”¦l¦e¦ a" 45¾54 p€d_bbs“S‚e‚?B…)\‚|+b1‰Š‡l¤eˆ_“ …1¥  g  %" ( 4 ( : 0 ( g  …5df“-, }B‡lbs\+‚?b  %"  ± +bY¤ jHmb  )‚l‚?bs¤D‚?‡e…;Mn§7…5\c’7bY§c‡lm…5\+‚|iY…5\_b B\ K ‡lbY¤e\_bY\’7bY¤|, ) 4 ¾ & ‚l‰Dd_BbTjHbY\_bY¤ M{bs§H‡eB’c‡lbY“+bY¤ ;‡eˆ_¤lbY\¨ˆ_\+j bYˆ+‰DdH‡e§H¤ T¥©‡eb n‚ H¥ g ‚|‡l¤l…)_d : 2 a"Yµ & €¤l… 5j &  bsB\_d 1¤DjH‡  ° €" 4 12  ´ \fbŠ, ;\kj ‡|*/…;,ubYvBb1‰N‡l¤l…)\_d_…)‡l…7b|XlbT‰Š‡lm…5\¥©¤l…)“ ‹ J $ “¨ˆ_vB‡eS‰Dd ;\f\_bYv {,u“ 1‡l¤lm‰ ;vS‰Nˆ_v 1‡lB…)\ °dc‘_‚ bY’ g 5¹”B\c‡lbY¤ 5¯ 5…)d ;\k‚l‚?…)\ QK 1€Bv ¥©…5¤pj K ‹ ¹ c" g " :  ( +" ‚?¾5…)4 ¤l_‡eB…5\­‚?+b1‰Š‡e¤ €¤l…1*†\ 7¯ …;¥ ] b>¦B* \%‡ldfb-" ¾ µ)µ * 0 ( " ¾ g ¶ ¤lb 5B…)\  ´ _‡ {K7…c‰ g “  4 ¾ &)& ( " ( g ¾ €¤l…1*†\  ¹”mvBvBmv 1\+j  ª…1‘7b1‚  1“%‚?bY‘  " " prªbY‡eb1‰Š‡lm…5\'…1¥ +…7‚l‚| _vmb^* `7,Œ“…cjcbL… ‚l‰ŠmvBv ;‹ ‡lm…5\+ ‚€…)\#° ¤e…c‰Š‘7‹ …5\ g ‹ 052 & ¾)45 4 4)4 €¤lˆfvS‚   " )D€d_b¥©…)¤l“ 1‡lB…)\ …1¥¨d_bYvmB…7‚|bYS‚|“…5vm… )‘¸vBm\_b1‚ ª¦ ”€d_b ª1¦ * ‡ebY¤D‰Š…)“ f4)F45\ 0 ;‡lm…5\¨vBm\_b  _ \ “ m  H \ µ4 2 T 2 g g 5 2 4 ¾ & ( €¤lˆf““bYv v ˆ_¤ev _ˆ_¤e‡   ³…7…)“¤lb  " 45452 !p³ˆ_¤ _ˆ_vmbY\H‡}‰Š…)“_¤lbT‚l‚? _vBb>‰Š…)\H, ’7b1‰Š‡eB…5\®*†B‡ld%¤e…5‡ 1‡lm…5\ n¦ ] vm…;* ‚?‡e¤lˆ+‰N‡lˆ_¤eb 1\+j¬bs’7…5vBˆf‡lB…)\ g   : 10 : 4 : €¤lˆf\_B\ ^r £K 1¤ K ^" 4 & 4  m\_b 5‚?‘c““bs‡l¤l b1‚m\·v 1‡lbŠ,u‡|‘H+bjH* ;¤?¥­_d_…)‡l…;, ‚?_dfbY¤lb1‚ ¦Œ\ $ ‹  ‹ ˆ_‡e‡lbY\ ;\+jŽ¹ {K7bY’7bY¤eB\_… ©b1j_‚ +K7…5v ;¤ ;\kjŽ‚?‡ebYvBv ;¤ 5¤ 1\Hˆfv ;‡eB…)\  ´ K ¦²‚|bY¤lmb1‚ vBˆc*€bY¤ {" g g V bYSj aK ³K7:+¾bY\k‰Šb " 'Š¯ …)\H‡eB\cˆ_…5ˆ+‚ +‚|…5¤lf‡lB…)\ c‘%‡ld_b[dc‘7, €ˆ+‰D§Hm\ 5d ;“ ‹ g ‹ jH¤l… 5bY\#“…5vmb1‰Šˆ_v ;¤ B…)\ * # ‹ g K _‹ "5" ( 45¾0 (&)( €ˆ_‡evBbY¤ bY\+jH…)i H¯ +bYm_+bY\ H¯  _" 4)450  g ‡l…)“S‰ j 1‡ ª¥©…5¤W…5 )‰ŠB‡|‘[‰ ;vS‰Nˆ_v 1‡lB…)\+‚ $ V * £¦ _€dfbL“ 5\fb1‚?mˆ_“ ƒ‚?…7bYvmb1‰Š‡e¤l…5\fS‰^‚|b1~ ˆfbY\+‰Šb  _°dc‘_‚  ( 2 :5: µ 4 ¯ ;\cˆ_‡e… * * ;iYisB‡lbsvBvB 5¦ +" 4)4 " NK7‡lbYvmv 1¤€‡lˆf¤ _ˆ_vmbY\c‡€‰N…5\c’7b1‰Š‡lm…5\ $ g \_bY*·“®…cjHbYv ;\+j ;_fvBS‰ ;‡lm…5\+‚ g   0 µ ( 45¾ ¯ ;\cˆ_‡e… * * 1iYiYB‡ebYvBvm c¦ a" 4)4 ( ' ] ˆf¤l‡ldfbY¤†B“f¤l…1’7bY“¨bY\H‡p‚…;¥ -\fbY*h“…cjHbsvQ¥©…5¤”‡lˆf¤?, _ˆ_vmbY\H‡”‰N…5\c’7b1‰Š‡lm…5\¨B\#‚?‡ ;¤p‚ g  0 & 4 (;: ¯ 5‚|‡lbYvmvB ] ¹”¤ 1‡l‡e…5\ ‹ ¹ V ˆ_¤lˆk‰Ši ‹ ²" 454  ”…5‡lbT‚„…)\‡ldfb‰Š…)\H’7bT‰Š‡lm…5\Žm\‡ed_b  K “…cjHbYv ;‡l“®…7‚?fd_bY¤lbT‚  " " ¯ 5‚|g ‡lbYvmvB n g ] 4 V ˆ_¤lˆk‰Ši ‹ a" 4)4 : $ * g …cjHg bsv 0 ;‡l& “®0…7‚?fd_&;:bY¤lbT‚²¥©…5¤ ^b g  g ()& " & " ¯ d 1\ V €K7… ªK €" 4 & 4 Daˆ_¤ fˆ_vBbY\c‡[‰N…5“_¤eb1‚l‚| _vmb¨‰Š…5\c’7b1‰Š‡eB…)\B\ 'jcbYbY 1‡l“…1, ‚?_dfbY¤lb +¦ bT‚?ˆ_vm‡D‚€…;¥W‡ldf¤lbYbŠ,«jHm“bY\+‚|B…5\ ;vn‰Š…5“®_ˆ_‡ 1‡lm…5\+‚  a"Yµ ¯ d_“mbYvBbs*”‚?§c  ‹ ] ¤lBbsv  t¯ Y‘c¤lbYv9rªbŽK7‡e¤l… +bYv t¹ €bY\H‡e…5vmBv g ²¯ †05"05452 4 ( (5D( €dfb" 454 ( jHbY‡ ;Bvmb1j ;\ 1vB‘f‚?b1‚€…1¥ vm_d -¯ bY\c‡ 1ˆ_¤l 1\+j vB_d -¯ bs\H‡ ;ˆ_¤e '  " ¯ d_¤eS‚?‡ebY\+‚|bY\H,«j ;vƒ‚ ;¤pj g " 4 &5( ' ´ \‚?…)v g ;¤}“…cjHg bYvƒ‚ ;\+j'‡ld_bsB¤†+bY¤lm…cj_‚^g …;¥ g … ‚l(‰Šm25vB0v ;‡l(m…5\ 4 =  Y0 3= Z2 A2 2 ^2 2 2 ;2 82t= = I= A2 = B2 :. g:g 2@= S= 4 2 2@= 4 ). O= A2 Z2@= S= .54 2 8. 2@= ;4 I= t0 = = !0 b= 2 . 2 Q 2R = 0 J4 O= J4 ;4 ^2 82@= ;4 +4 = J4 2 = ^2 J4 82@= ;4 H4. :00 += 9Q = 2 82@= b= !0 = A2t= ;4 3= b= B2 2@= 2 A2 2@= B2t= J4 = 2 2 2 2 eg O= ^2 = ^2 2@= 2 I= Z2 <= 2 2@=  2 4 2@= 34 /= ;4 b= eg 4 b= O= 2 = S2 O2 N4 L 4= 2 O2 Y. t. = g J4 2 2R+= G4 B4 = 2 ;2 B2 +2 \4 G4 0 +4 J4 b= #4. 9. = 2 = = J4 +2 4 +4 2 ;4 2 34 J4 = ). 4 = 4 = = Z2@= 2 S= 2 52 g 2 2 = Q = = Sg R+= M4 8 ). O= 82t= ;4 = 2 +4 4 :. ;4 0S44 +4 = I0 4 = = @. 54 2@= 4 = = XQ = S= 2@= 2 = 2t= O= 64 2 b= /= +4 2 2 V4 S= T4 4 2 = 4 2t= 2@= +4 = :0 Z2 2 Z2 64 /= . = S= ;2t= = . 4 = = ^4 B2t=  = =;2 = = Z2 2 4 P40 =2 b2 3= = L4= Y2 = = P4 G4 3= R+= 2 52 :2 2@= 82@= 2 2 2@= 0 4 2 +2 ;2 = 54 2 N4 b2 4:4 I= 2 4 32 = @. +4 0!= = 2 = 54 2@= 2 52@= = 2 D. 0 = 2@= = = b= G4 2 Q Z4 J4 ;4 30 @. = = Sg 34  b= g = 4  M2 N4 3= ;4 _4 2 ;4 0 =  82 a4 0 R = =  . 4 = ^2 64 2 2 64 = S= = O2 7 84 64 = 4 2 O 4  J4 +4 G4 O=  82 D. J4 I= eg 4 J4 /= U4 = Z2t= ;4 84 g = J4 64 U4 = B2 = = = G4 = "Yµ      g  +K a" ¯ d_¤e* S‚?‡ebY\+‚|bY‹ \H,«r g ;vƒ‚ ;4)¤p4 j $1 05/¾ " 4)4 " b1‰Š‡eˆ_¤lb¨\_…5‡eb1‚…5\ ‚?‡lbsvBv 1¤[‚|‡l¤lˆk‰Š‡lˆ_¤eb 1\+jbY’7…5vmˆ_‡lm…5\ ¦Œ\+‚?‡eB‡lˆf‡€¥©…5¤ ] ‘_‚|B§¨… g ‚?‡e¤l…)\_…5“ g ¶ ¤edHˆk‚ _r”bY\_“ 1¤l§ ¯ d_¤eS‚?‡ebY\+‚|bY\H,«r ;vƒ‚ ;¤pj ( c" 4)450 D°ˆ_vƒ‚ ;‡eB…)\-‡ed_bY…5¤e‘ 1\+j[‚?‡ebYvBv ;¤W‚?‡l¤eˆ+‰Š‡eˆ_¤lb +¦Œ\$   bsS‚ ;\kj g  5vmB\ bTj_‚ _¦Œ\+‚|SjHb£‡ed_b[K7‡ 1¤D‚ +¦ g ± ¯ …5vmv n" 0 : & 0 ¯ d_¤eS‚?‡ebY\+‚|bY\H,«r ;vƒ‚ ;¤pj $ /" 4)4 : b1‰Š‡eˆ_¤lb¨\_…5‡eb1‚…5\ ‚?‡lbsvBv 1¤… ‚l‰ŠmvBv 1‡lm…5\+‚ Ž¦Œ\+‚|‡lB‡eˆ_‡^¥©…5¤ ‘f‚?B§®… g ‚?‡e¤l…5\f…5“ g ¶ ¤ldcˆ+‚ +rªbs\_“ ;¤e§ ] ¯ d_¤eS‚?‡ebY\+‚|bY\H,«r ;vƒ‚ ;¤pj  €b1j_jcB\ + ‹ V XlbYvSj_‚|bY\ a" 454)¾ $ * …cjHbYvBm\ %‚|…5v 1¤?,uvBm§7b …7‚e‰ŠBvmv ;‡eB…)\+‚€B\  €…7…)‡lS‚   ¯ d_¤eS‚?‡ebY\+‚|bY\H,«r ;vƒ‚ ;¤pj  Zr g 1_+bY:5\ : 0  ( " 4 4)4 ( NK7…5v ;¤>…7‚l‰NBvBv ;‡eB…5\k‚ 1\+j‡ed_b-bT~ ˆ 1‡lm…5\ …;¥/‚|‡ 1‡lb  ³¯ d_ B" ¯ 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2 840 A4 = Q 0S44 0S44 = 2@= A4 0S44 = 2@= A4 0S44 = eg 2t= A4 0S44 = 2@= J4 2 2 = eg J4 2 N4 0!= A2 = 2@= b= 2 = 0 J4 = 4  = 2 O2 J4 = A4 = G4 = = /= +4 4 +4 2 b2 N4 )4 2R+= = :0 = a4 b= 2 T2 2 = G4 G4 l4 ;4 2 2 +4 b= ;2 = J4 J4 = /2 2 = J4 b= 82 2t= 4 +4 ;4 0 b= Z2 = I= = = A2 ^2 2 2@= = 2 b= Sg B2t= Q 4 2 2t= /= 2 S2 != +4 = 2t= V4 ;4 J4 B2 3= = = S=  2@= S= 4 S= I0 0 g J4 I4 I4 =: G42 L4 2 64 I= 2@= I= M2 2 2 = 30 4 G4 S=4 c4 8 Q J4L0 4 2 2 2@= 4 I2 T= 2 0 = 2@= M2 Q R6= +4 gg 1 = eg Z. = T2 @0 I2 = :2 =  I4 4. +4 I4 :2 = = 2;4 J4 R+= = 32 ;4 = ;4 54= 2 H4 b= = = ;4 ^2t= 2 = 0 J4 b2 2 A2 ;4  A2@= = 64 = 2 I2 4 := +4 30S4 4 64 ;4 J4 G4 2t= :0 4. = ^2 0 = 4 ;4 b0 I2 I= 4 S= Q R+= 2 = Z2t= = 2 64 34 2 ^2 N4 +2 Z4 ^2 J4 3= O2 /= ^2 S= = /2 2 eR I= J4 +4 M2@= =40 0 7 )0 ^2@= b= = P4 4. +4  I4 2 eg B2t= 4 I. 54 J4 3= Q  +4 64 S4L0 I4 2 2 b= +4 . .;4 J4 ;4 4  2 :0 = b= 2  '.02 b= I4 B2 2 J4 A4 ;4 = 4 L4= = 4  A2 <4 2t= := 4 = 54 2 2 R+= O= . = 2 4 g 2 2 b= 2t= = 32 2;4 )0!= ^2 Z4. 32 :2 = 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n" "  vBbT‰Š‡l¤e…5\¤ 5jH ;‡lm’7b^‡l¤ ;\+‚|B‡eB…5\k‚€B\ -¯ …5ˆ_vm…5“ kbYvS(j ; e ¤ V HK Z " ‹ 452 g 2 ¾5¾ 2 V B_5+‚|bY‡l\f¤l…)d _;dcd_‘_\ ‚|S‰YV ‚†vB _¤ bY1¤l5‘ bY+¤eK7‡ _¤lg m\ +5" bs4)¤?4 , µ²€bs¤lK7v ‡lbYvmvn1"L¤€b1‚|‡ljc¤eBˆ+‡lm‰Š…5‡l\ ˆf¤lb 1\+j-bY’7…)vBˆ_‡eB…5\ g ‚?‡e¤l…)\_…5“¨‘ ;\+j V XlbYvSjf‚?bY\ €b1j_jHm\ c ‹ +" 4)45¾  g “_vmB‡eˆ+jHb1‚…1¥ ‚|‡lbYvmv 1¤²… ‚l‰ŠmvBv ;‡lm…5\+‚ $€d_b}B“_vmS‰ Y, 64 4 T= ?0 2  82@= I0 J4 64 . b= +2 = = A2@= S= +4 g S= 2@= 2 L4 2 = . 4 eg:g 4 +4 = 4 2 2 Q R6= 4 Sg b= 0 _4 2 3= 2 2 = S= 2t= I. #4 4 4 2 = ^2t= = S= 2 G4 2 2 2 4 :0 /= 2 4  84 4 2 = = 64 0 = Q = ^2 2t= g = = 2 :0 = 4 ;4 K. L4 4 I4 64 N4 64. Q R6= . ^2 G4 82 G4 #4 /2;4 = 2@= A4 0S44 2 = 2 4 2 = 2 b= 82 U4 +4 2 = 0 4L0 32@= ^2 2t= )0 = 2 = ^2 Sg = 2 2 J4 ;4 I4 egg +4 4. 64 G4 34 2 ;4 2 ;4 2 2t= b= A2 Z2 = 2 = Y. 64 = Sg = g g R+= Y. 2 #4 2@= 4 !0= 52 2 P4 = 2 . V4 I= /2 Z2 I2 = 4 2 :2 2@= 4 0 2 s4 2 4 B2 J4 A4 0 T= = 4 2 2 R6= ;2@= = 2 +4 Q ;4 +4 2@= ;4 I= 2 g J4 = P4 L4 = )44 = = 3= 2@= . := 2@= 2 B2@= = b2 G4  :.;4L. b= 2@= 54 I4 ;4 J4 2t= ^2 2 S2 Z2@= B2 2 A2 = G4 0 Z2 2 R6= = = G4 = S= J4 64D4 N4 Q 54 O0 4 J4 = 4 b= S= +4 Z2 A2t= 2@= R+= 34 = 84 2@= t. B2 ;4 +4 a.;4 2 2t= 54 2 /= 2 = P4 IZR = 2t= G4 ;4 . M2 L4 3= 3= 64 Q = Q G4 I= 0 0 I= 0 ^2t= L4 2b2t= 2@= ;2t= = 4 3. /= 4 +4 I2t= 4 L4 2@= 4 = 64 Y.;4= . eg = ^2 3= 4. 2t=b 4 = eg 30 2 B2@= = 2 )4 3= B2 J4 )0!= J4 b= ^2 ;2 4 34 A4 2@= ^2 Sg 52@= 0 4:4 S= X4 b2 ;2 +4 = I= I= b= A2 2 = 4 L4 eg = 2 +4 . +4 0 J4 :0 N4 0 = = Sg = 2@= Q 4 3= 2 t0 I= := 64 G4 64 H4 X. 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Z= G4 4 :0 +4 0 S= 2 2@= 4 ;4 4 4 = G4 b= 2 !0 = #4 G4 ^2@= S= 2 4 L 2 b2 4 = K4 b2 S= = 2t=S = 2 S= = A2 = A2 M= 2 ;4 4 S= A2 2@= 2@=  A2 = 2t= 4 b= 2 b= B2@= 2t= 2@= = M2 +2 2@= S2 L 4= 2@= 4 N4 2 2 Q R+= ;2t= 84 ;4 I4 2 2 2@=  0 52 = 4= N4 T= M2 2t= 4 b= B2@= 2 b= 2 2@= 2t= 4 S= 2 = . 2@= 64 J4 !0 0 4 !0 0 4 = Sg = g J4 4 J4 = = J4 X4 A4 N4  2 Sg .T= P4 b= J4 4 52 = I4 ;4 G4 = bg U4 G4 64 = R+= = J4 4 64 2 =  b= B2 2 = . ;4 = g L4 2 2 = 2t= G4 = B2t= = /= = ;2 !0 2 +2 ;2 = 64 = 4 J4 2 = I4 = 2 4 G4  4 A4 = +4 = J4 b= ;4 I0 = G4 = I4 c4 N4 b= :0 I4 2 L4 2@= I4 Q 4 O2 B4 <= I4 2 2 b= =I = ;4 I4 +4 = 0 4 4 = eg 2R+= G4 40 J4 A2 2t= X4 A2 = g O2 = X4 2 b= B2 aQ ;4 N4 2 = 64 2 = @0 64 b= 0 L Y2 2t= 2t= N4 ;2 ;4 = +4 b= 2 b= b= 4 I= = g 2@= = 4 4 64 K 2 = 2 4 4=84 I0 M4 = = M2@= 4L. 3= 2@= 84 82 )0S4 S4L. 2 82 = A2 2 Z2 :Q I4 G4 = I4 I2 4 J4 s4 = Y0 4 I4 4 +4 = g @. 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S= = 2 X. M2 = eg +2 +4 Y4 G4 = +4 2 +4 J4 2 S= 4 +4 2 ;4 64. 2 82 b=  2 +4 4 54 S= :2 4 .b2 +4 B2 2 ;4 := 4  2@= = )0 32 S= 4 42 S= T2 = Y0 32 4 A2 4 = = 2 A4 = = ;4 +4 B2 N4 ^2 2 O2 +4 S= 2 4 ^2@= 64 J4 A4 J4 M4 T= +2 G4 = g = Z2@= = I4 eg 2 A4 4 R6= S= = +4 3= 2 2 g = = = t0 I4 @. J4 M4 +4 Z4 = := = 4 2@= @. S= ^2@= +4 2 = = 2 g J4 64 = b= ]4L0 2 := = = = g = g J4 ^4 J4 0 +4 G4 T2 +2 84 54 Z2 = /2 = G4 a0 2 +4 = G4 b2 +2 ;4 = #4 0 4:4 +4 ). I. = = 2@= 2@= 2@= ^4 84 G4 = 2t= b= 64 I4 = = +4 84L0 = 2 ;4 B2t= +4 Sg 4 = = B4 J4 )0 G4 Sg 2 = = M2@= = = = b= ;4 = = 4L0S4 = 2 ;4 I= 2 = B2t= = eg AQ ;4 ;4 +4 @0= = 2 ^2t= 64 = R +4 4 b= 2 = Sg J4 80 +4 5" " (      ª…)¤DjHvmˆ_\+j ¶ ²K7‡ebYB\ /" µ  ,«r ‚|B“¨ˆ_v 1‡lB…)\+‚ª…1¥£‚|…5v 1¤ ;\+jº‚|‡lbYvmv ;¤­‰Š…5\c’7b1‰Š‡eB…)\ ;\+j%“ )g \_bY‡e…c‰Š…5\c’7b1‰Š‹ ‡eB…5] \ ²45¯ 4 …)“_ˆ_0 ‡ _°dc‘_‚ {¯ …5““¨ˆ_\ ¾54 a"5" 4 ° 1\_\_bY§7…7bY§ g " 450 & !p€d_b[dc‘_jH¤e… )bY\'vBm\_b1‚†\_b ;¤}‡ld_b  ;vB“®bY¤†vBm“B‡ * # ‹ g FK 4 & °b )25‰o4 d : ¹ c" 452 Da…5‡ 1v+‰Š…)\H‡eB\cˆ_…5ˆ+‚ k‚?…5¤e_‡lm…5\®‰Š…7b ‰ŠBbs\H‡p‚Q¥©…5¤ ‰Š…)“_vmbY 1‡l…)“%‚ * bY“ )‚?‡e¤ {K7…c‰ " °bY¤e‹ ¤l‘c“ ;\ * g Q¯ ( 4 m\+jHb )¤lbY\ V …;’ 1vBbY’f‚?§c‘  …   )‚?‡e ;\ _± €bs¤l\ )‰Y‰ ° ¯ ¤ebYiYb * arª…)\ ;‡e ] ¹”¤lbs\_…5\ * ¹”¤lbY*†m\ * ;\ bsbYˆH*/bY\ ] ;\ rªbY¤ * ;¤ebYv *  )\ ;¤pj ] * ˆf¤l¤ Y‘ H¯ g b}°…7…5vmb ‹ HK HKc‰Dd_¤e Xl’7bY¤ 5aˆ_¤e…5\ ¯ g ¤lbY\f…5ˆ ] ] ¤e…7b1‚l‰Dd_vBb * c°bY‡ebY¤D‚|bY\ H¯ +K +" 4)4 p€d_b m_ 1¤D‰Š… ‚€‰ 1‡ ;vm… )ˆ_b #  °bY‡eg bY¤D‚|bYg \ 0  ( 0 ´ Q:" 4454 µ ŠK ‡lˆ+jHmb1‚²…1¥ ¯ bY_d_bsSj ,u‡|‘H+b†’ ;¤e fBvBm‡|‘ £¦e¦ cK7‡lbYvmv 1¤²…) 5‰NB‡lmb1‚ ;\+j “-ˆfvB‡lm“-…cjcbL¯ bYfd_bYSj’ ;¤e _vBb1‚ g  g ( 0 & Z" 2 µ °bY‡e¤lbY‘c“ 1\_\  " 4 : ! m\_bŠ, _v 1\_§7bY‡eB\ 1\+j'“…cjHbYvZ‚|‡lbYvmv ;¤ ;‡l“®…7‚?fd_bY¤lbT‚ g  g 0)0 µ0 ( °BbY¤p‰Šb g V _K7v 1ˆ 5dc‡lbs¤ _¯ cr _" 4 ŠK7…)v ;¤/vBm“ ­j ;¤e§7bY\_B\ 7¦ $ 0 µ 050 ( 4 €K7…5v °dH‘f‚ ¾ " ( ¾ °BbY¤p‰Šb g V {K7v 1ˆ 5dc‡lbY¤ ³¯ nr bYB\ +bY¤ )bY¤ +r a" 4 'ŠK …5v 1¤^vBm“ ®j 1¤l§7bY\_m\ ¨B\Ž‡ed_b B\c‡lbY¤e’ ;v µ µ_" ¶ a¦e¦ €K7…)v +°dH‘f‚ a" °BvmvBbY‡ ° ’ ;\: : m\+(1:jHbY\º& ’ g ;\ jHbs\ bYˆ_’7bYvmv ¾ (  €14 K7“m‡ld   V 5‰Dd_¤lˆ ‹ ³¤ ;\ ^¹ ;vmv )d_bY¤ ª ^"  ƒ‰Š¤l…1* T’7b#B…)\_Bi 1‡lm…5\¸…1¥ ‹ ‘fj +bY¤ ;‡l…)“%‚ °dH‘f‚ ‹ bY’ g 0 µ l" ()& ] µ 4 &;: * °¤l…1’7bY\+‰ ;v  _K7d_m_“ ;\ b1‚?bs“ ;bYv ] €bs¤ 5bs¤l…5\ _° €…)\+j  mb +bY¤l‡  aK7B…)\  " $ ·ƒjHb +bYvƒj¬_v ;\_bs‡ ;¤e‘#‰ ;“bs¤ _df…5‡l…)“bY‡e¤l‘…1¥€‡ed_b f¤l )dH‡ “-‘f‚?‡ebY¤lm…5ˆ+‚ *†* d_B‡eb£45jH4 * ;¤?¥²° ¤e…c‰Š‘7…5\ ' g   : & µ ( ‹ 5‚?‡l‡ m…5\ * {°  "  4)45¾ ' ´ \‡ldfb[\ ;‡eˆ_¤lb[…1¥ ;bsH_vm…cjHB\  5¤ ;\cˆ_vBb1‚ ;\+j )¤ ;\cˆ_vmb¥©¤ )“bY\c‡ Y, g :): 0 & 2)0 ‹ B… bY5ˆ_bs‡e¤D…5‚ ¤pj *  HK7*/1d_bY\+\ ‚|…5 \ 7° +"  45457¾ ¦ 5vmpb1° ‚?vm5ˆ_‚ “_b1¯ ‚Z5Bv \®‚?‡lcbsvB" v 1¤ ‰Š…)\H´ ’7b1° ‰N‡lB…)\b1~7iYˆ…)\_;‡eb1B‚…) \H,Œg…1¥S,|‚|g‡ 1‡l( b^452‡ n_" vm( b1‚ ‹ ¥©…5¤ 5‚|] ‡l¤l…)_dc‘_‚|S‰ 1v ;__] vmS‰ 1‡lm…5\+‚   g µ 4)452 g …‹ 5bs¤D‚ ] ‹ _¦ 5vmb1‚? 5‚ {¯ g {" 4)4 : g  g ‚?‡e:¤l…5¾5f2 dH‘f4 ‚?ƒ( ‰ ;va…) 5‰Šm‡|(‘ €Kc‰ŠBbs\+‰Šb ( 250 ¾ µ ‹ …7‚?bs\Hf‡e" d ;v {¯ Š¯ a…5¯ \cd_’7¤lb1ƒ‰Š‚?‡e‡lBbs’7\+b9‚?bY‰Š\c…5,|\cr ‡l¤e1 vS_‚ ˆ_‡eB1…)¤D\+j ‚‡l …£‡ed_ ªb€…)¥©¤D¤ljHb1vm~7ˆ_ˆ_\+bYj \k‰Šg B¶ b1‚a{…;K7¥ ‡l‚|bs…5B\ v 1¤ ‹ …7‚l‰N] BvBv+;a‡eB¤ …51\k“‚ +b1j ) ‰od ‹Œ‚|ˆ _45“4 m& ‡l‡lbTj g g ‹ …5‡l‡ b1 ‰Dd W" 454 aµ "  ª…5‡eb…5\‡ld_b®d_S‚|‡l…5¤e‘'…;¥9‡ld_b ‹ bs‘H\_…)vSj_‚^\cˆ_“ Qbs¤ g \_\cˆ ‹ bY’ ] vBˆ_ƒj K Y*€* bs‘ _° ()* ( ( €bY¤e¤lm\ 5‡e…5\ V g {" 454 (  g ‡l…5“®S‰†j 1‡ ¥©…5¤†…5 5‰Šm‡?‘®‰ 1vS‰Šˆ_v ;‡eB…5\k‚  °dH‘f‚  ( ¾ a" : ¾ " Kc‰Dd ;¤e“bY¤ ¹  €" 4 & 4   )d¤lb1‚|…5vmˆ_‡lm…5\ )¤ ;\cˆ_v ;‡lm…5\º… k‚?bY¤e’ 1‡lm…5\+‚¥©¤l…)“ '° ;vm“ $ €b1‰Dd_\_S~7ˆ_b1‚ 1\+j +¤p‚?‡ ¤lb1‚|ˆ_vB‡p‚ ¦Œ\ $ ‹  ‹ ˆ_‡l‡ebY\ 1\+j¬¹ QK bY’7bY¤lm\_… ©b1j_‚ _K7…)v ;¤ ;\+j ‚?‡ebYvBv ;¤ 5¤ ;\cˆ_v 1‡lm…5\  g  ´ g Kc¦ ‚?bY¤eBb1‚ V vBˆc*€bs¤ _r”…5¤Djc¤lb1‰DdH‡ {" 2 " K7b 1‡l…)\ *  b1j W" 454)¾ a€dfb†…5 )‰ŠB‡|‘£_¤l…TXlb1‰Š‡ ²…)v c" f¦«\k‚?‡lm‡lˆ_‡eb€…1¥Z°dH‘f‚?ƒ‰Y‚Z° ˆ _vBƒ‚?d_m\ K7\_bTjHbY\ {¯ 5…5d_\+‚|…5\ ‹ V ¤lˆ__  * a" 4 12 $ g ‚|‡ ;‡eS‚|‡lS‰ ;vZ“bY‡ldf…cj®¥©…)¤ª‡e¤lb 1‡lm\  = 4 2t= T= 2 2 N40 4 = L4 T= 2 = Sg I2 N4 2 J4 T= :2 L4 I0 2t= O= 2@= b= 2 ^2 2 2 52 A4 = = <2 ;4 @0 T= ;4 O= 2@= 4 2@= = b= 2@= 2t= +4 = = = :0= 2t= B2 2@= 2t= 0= 2@= b= 82@= B2 2@=b S= ;2 84 2 J4 T= ^2t= ;4 4 b= 52@= 2@=b 3= = ;4 I4= 4 2t= b= I4 +4 :0 S2 = eg 2 2 = 4 4 N4 = 1 = b= J4 = 84 M4. B2t= S= 4 b2 = g 2 2@= J4 X4 2 :0 +4 2 B2@= 32 = Z2 2;4 = =  b= 82 J4L. = = /. J4. S2: 2 J4 ;4 ?4 = J4 0N4 J4 4 = = Sg S= 2 2@= 2 J4 0 S= 2t= J4 0 ^2 2t= g 4 2@= #4 2 O= 2@= 2 3= 2@= 2 M2 ^2t= . = A2 D. )0 O2 2 I= 4 !02 Z2 ; = = 2 J4 Q D. R g = /2 eg 4 0 egg 2 = T= 2 = eg \4 g A2t= b= \4 2t= N4 ^ 2 2@= L4 /= G4 2t= 4 T= A4 +4 )0 I4 = = . 2t= )0 64 b= 4 = T= 2t= = 2 82t= +4 I. ^. 3= @0 3= = ;4 g:gg a0 64 !0 #4 ]0 +4 +40 +4 = 2@= 4 = 2 b= 2 2@= 2 b= #4 = 2 ;4 2t= /= O0 G4 = 2 I4 M4 2t= J4 O0 G4 I4 = = B2 /2 B2 = A4 = ;4 '0S4:4 I4 = 2@= ;4 +4 = g 64. = = 2t= b= @. . = = 2 = = 2 = B2@= 2 2 2@= J4 +4 4 G4 b= = R ^2 = b2 = M2 2 S= ;4 X. 2t= 2 b= b= 0 b= = @0 2 2 = 4 +4 = b2 54 I4 2 G4 = 2 = 3= Z2 80 64 A2 ?4 G4 L4 J4 O= N4 = 3= = Q R6= 82 = 4 B2 = J40 2 b= 3= Q ^2 4 2 34 :0 3= 4 :0 B2 Sg:g 2 3= 4 I= := 2 B2t= 2 Q J4 _0 2 2 b= 2 R G4 a4 2t= I= T= A2 2 O2 = eg :4 Z2 I= ;4 2 :. 2 = = b= +4 4 Q ?4 2R+= J4 N4 \4 3= :2 !. +4 34 0 L4 0 "5" 0      “…5vmb1‰Šˆ_v ;¤ vBm\_b£…5 )‰ŠB‡eBb1‚   µ " K7 1\_Bbs¤  ´ vSjHd ;“ V  _" 4 g& g ( \ : ;‡ev(5)& ‚²…;¥n¥©ˆ_\+‰Š‡eB…)\+‚ +¯ d ;_‡ 2 ( 25¾)0 bY“ƒ‚?_dfbY¤lb °ˆ  5‚|d_B\ 5‡l…)\ nr F¯ K7‡ ;\+‰Šmv a° ¯ " 454 : !N¯ …5\c‡lB\f…5ˆ+‚ +‚|…5¤lf‡lB…)\ c‘ b  ;\+j  m\‰Š…7…5v *†d_m‡lb¨jH* ;¤?¥u‚   µ µ g 0 5 0 2 : K7‡ebŠMnbY\ * +" 4 & ¾  g “®…cjHbYv 1‡l“… ‚?_d_bs¤lb ;\ 1vB‘f‚?S‚ …;¥Z‡ed_b ]¾ ¦ ”, ‚?ˆ 5 1\H‡9°¤l…c‰Š‘7…)\  K ¾54 : µ 0 g g K7‡ebYB\ ‹ ] _" 4 & 4 N¯ …5\c’7b1‰Š‡eB…5\ ;\kj * T’7bT‚ n¦Œ\ $ ‹  ‹ ˆ_‡e‡lbY\ ;\+j¹ _K7bY’7bY¤eB\_… ©b1j_‚ K7…5v ;¤ ;\+j#‚?‡ebYvBv ;¤ )¤ 1\Hˆ_v ;‡eB…5\ vBˆc*€bs¤ ‰ )jHbY“ƒ‰†°ˆ _vBƒ‚?d_bs¤D‚ " K7‡ebYB\ ‹ ]  ª…)¤DjHvmˆ_\+j g ¶ H" 4 & 4 pV ³…)Q…)vB… 5g ‘¨…;¥ ‰Š…5\c’7b1‰Š‡eB…)\ +bY\fb ;‡e0d-& ‡ed_b†‚|…5v 1¤/‚?ˆ_¤|¥ 5‰Šb   K7‡ebYBg \ ‹ 0 : ]( ! n ”45¾ …5¤DjcvBˆ_\+j qg ¶ ª" 454 µ N¯ …5\c’7b1‰Š‡eB…5\ ;\+j·B‡p‚-B\ +ˆ_bY\+‰NbŽ…5\ …7‚e‰ŠBvmv 1‡lB…)\+‚ ¦Œ\ $¸r „¹”…)ˆ 5d 1\+j  †a…7…5“®¤lb b1j_‚ L¯ d 1vBvBbs\ 5b1‚‡e…q‡ed_bY…)¤lBbT‚ …1¥[‡ed_b‚|‡l¤eˆ+‰Š‡lˆf¤lb …;¥”“…cjcbY¤ 1‡lbŠ,u“ 5‚e‚^‚?‡ ;¤p‚ …)v 0 &5& …;¥ b1‰Š‡eˆ_¤lb ª…5‡eb1‚^B\ °dH‘f‚?ƒ‰Y‚ K7_¤eB\ )bY¤ bY¤lv €bY¤lvmB\ +" K7‡ebYB\ ‹ ] 45 ”¾ …5¤DjcvBˆ_\+j g ¶ €¤ 1\+jHbY\ _ˆ_¤ g _" 4)4 WjHF¥u‰N…;¥ ¥ n°¤lm’ 1‡lb£‰N…5““¨ˆ_\_m‰ 1‡lB…)\+‚ K7‡eB * c" 4 & 4 n€d_b”K7ˆ_\ g ‚?‡e¤l…5\f…5“¨‘ ;\+j )‚?‡e¤l…5fdH‘f‚?ƒ‰Y‚³vm _¤ ;¤e‘ K _¤lm\ 5bY¤ bY¤lv €bY¤evBm\ K7‡e¤lB§c*€bs¤Dj ( {¯ a" 4 & 4 ] B\fB‡lb„jHFMnbY¤ebY\+‰Šb£‚e‰odfbY“b1‚ ;\kj¬ 1¤l‡l ;vZjH MnbY¤lbY\c‡l ;vnb1~ ˆ ;‡lm…5\+‚ ;‡ed_bY“ 1‡lS‰s‚ K7bY¤eBb1‚  5jf‚?*€…)¤l‡ed  €¤l…7…)§_‚ 5¯ …)vBb g jH’ ;\+‰ŠbTj €…7…)§_‚  K7…1¥©‡?* ;¤eb *° 5‰N n‰¹”¤l…1’7b +¯ ;vB ¥©…5¤e\_  ;¤ Y¥uj ;¤ HK )° 1¤DjH‘ * 5K 7" 452)4  ´  )‰ŠB‡|‘£‰N¤l…7‚e‚‚|b1‰Š‡eB…5\k‚ ¥©…)¤ b 7¯ ´ 1\+j J ¦Œ\$ ´ ¹ªm\ 5bs¤lS‰Dd bTj €dfbY…5¤e‘ 1\+j… k‚?bY¤e’ 1‡lm…5\…1¥”\_…5¤e“ ;v/‚?‡ebYvBv ;¤ ;‡e“…7‚|_d_bY¤eb1‚ ;¤e’ ;¤Dj'K7“m‡ld+‚|…5\_ ;\ f€d_b * 3¦ 3 f° ¤eb1‚l‚ {¯ ;“ _¤lƒj 5b Q" : 0 a¤ ;“®QbTj 5‰Dd ‹ H¯ df¤lS‚|‡lbY\k‚?bY\H,«r 1vS‚ 1¤Dj   ª…5¤pjHvBˆf\+j ^g ¶ HK7‡ebYB\ ‹ ] _" 4)4 & Š¯ 1vF,  _¤ ;‡eB\ ¨‡ld_b£“mHm\ ;,uvBbs\ 5‡ed-*†m‡ld 0 r ‹ r ‚|B“¨ˆ_v 1‡lB…)\+‚ g  g ©B\%_¤ebY ;¤ ;‡eB…5\ a¤ ;“®QbTj 5‰Dd ‹ +¯ d_¤lƒ‚?‡ebY\+‚?bs\H,|r ;vS‚ ;¤Dj  ª…5¤pjHvBˆ_\kj [g ¶ _K7‡ebYB\ ‹ ] a" 4)4 &  ´ \ ˆ+‚?m\ 'O€,¤lbYv ;‡eB…5\k‚ )‚…5ˆ_‡ebY¤ +…)ˆ_\+j 1¤l‘º‰Š…)\+jHm‡lB…)\¥©…)¤[‚|‡lbYvmv ;¤£“…cjcbYvS‚ g  g ©B\ _¤lbs ;¤ ;‡lm…5\ a¤ ;“®QbTj 5‰Dd ‹ r ;_+bY\  ‹ … )bY¤D‚ ]  ;‡lˆf¤lB\ g €" 4)4  g ‰Š…)“ 1¤ ;‡eB’7b ‚?‡eˆ+jH‘%…;¥W‡ld_b * r 1\+j ´ ° g b1~7ˆ 1‡lB…)\+‚†…;¥ ‚?‡ 1‡lb g  g B\%_¤ebY 1¤ ;‡eB…)\ a¤ Y’Hm\ ^¹  5‚l‰Dd_bY§  …)vB*/b 5bY¤ ”" 4)252 D +bYvmvBbY\º¥ ˆ_¤#jHmb €bY¤eb1‰odf\Hˆ_\ '’7…5\ +ˆ+‚?‡ ;\+jf‚l‚?ˆf““bY\ fd ;“ _ˆ_¤ 5bY¤†K7‡ebY¤l\c* €bY¤ 5b1jH…)¤?¥ £¦l¦e¦ l" †‚?ˆTXl + a" 4 10  * …5vBbT‰Šˆ_g v 1¤ _ˆf\+j ;\k‰Šb1‚†B\#‚?‡ebYvBv ;¤ 1‡l“… ‚?_dfbY¤lb1‚ +¦l¦ # g 0  g ( 0 : ")" ±ª\+‚ …5vƒj {" †°dc‘_‚|B§®jHbY¤^K7‡ebY¤l\ 1‡l“… ‚?_d ;¤lbs\ €K7_¤eB\ )bY¤ bY¤lv _ a" ’ ;\ B\+jHg bs\¬’ 451¾)\Ž¾ jcbY\ bYˆ_’7bYvmv  Q¹ 1vBv 5d_bs¤ + ] n" 4 & ¾ D¦Œ…5\fBi 1‡lB…)\Ž2 &…1¥ 1‡l…)“%‚ H‘ & ,e¹ iLbsvBb1‰Š‡e¤lƒ‰ +bsvSj_‚ /° dc‘f‚ ‹ bY’ gh0 ( 0 Z" : 4)¾ ;¤pjH‘ * HK +" 4525¾ p€d_bY¤l“®…cjH‘H\ ;“ƒ‰Y‚³…1¥ £‚?…5v ;¤9‰Š…5“+… ‚?B‡eB…)\ 5‚|bY…5ˆk‚²“mH‡eˆ_¤lb * {K a" ( 4 ( µ ¾ ‹ g ;¤pjH‘ * QK Q" 452)2 D°¤lb1‚e‚?ˆ_¤eb£jHƒ‚l‚?…c‰N ;‡eB…)\ ;\+j‡ed_b^dc‘_jH¤e… )bY\“…)vBb1‰Šˆfv ;¤WB…5\ * ( QK a" Z" bY¤l‹ \fbYiYg i   0 : g ’H& ¤e0 bY‡l‡  …7b1‚|bY¤ ‹ 5" 4 & " ŠK7‡e¤lˆ+‰N‡lˆ_¤eb²…1¥+‡ldfb†‚?…)v 1¤‰Dd_¤l…)“…7‚|_d_bY¤eb ¦l¦e¦ …cjcbYvS‚€…1¥‡ed_b ²± f¤l )dH‡e\_b1‚e‚†‰Š…5“+…)\_bY\c‡D‚€…;¥W‡ldfb~7ˆ_mbY‡”‚?ˆ_\ HK ^ƒ‰Š‡l…)¤ ²* ¹ g r 1v ;¤l\f… g /" 4)254 Dr”B+…5vmb¬f¤l…5+bY¤e‡lmb1‚…;¥}“…5vmb1‰Šˆ_v ;¤^dcg ‘fjH¤l… 5bY: \ ¾ 2505 ¾ G4 ;4 I= .b2@= 64 ;4 2@= 54 V4 O= M2 = <= !0 2 b= B2 = A2 = c4 J4 = ;4 32 = 2 g ^2 B2 = Z4.  _.  4 \4 = = b= 2 = ;4 #4 ;4 [ O .!0 J4 = = b= 2 G4 2 = #4 b= c4 G4 2 0 2@= +4 G4 = \4 2 T= 2 2 2 c4 I4 = . 0 Z2 Q 2 R+= = l. L4 J4 /4 = = b= 2 2t= = Z2 0 4 +4 2 = 2 N4 C4 dQ 64 =  2 R6= ;4 7 J4 2 0 O2 = 0 K G40= b= b= 2 = 2@= = 4 4 = 2 B2 4 ;2 2t=I 2 4 4 b= b= +4 52 b=  0  b= 2t= Z2@= l4 T= = 4= 2 2 4= 2 2 2 L4 b2 4 X. 0 2 S= = B= ^= G4 2t= b= 2 = 2@= 4 Z4 2 = = = = 2 4 Q 2@= ;4 T= 2 = 4 64 2 J4 = 2@= 84 T= +4 3= X. 2 = Y0 2 R .T= = 4 = #4 2 J4L0 Q R+= 54 W4 R !0 W +Q R6= 2 0 Q ;4 +4 ;4 +4  Y0 b2 A2 = eg Q 84 I= 2 2 M4. G4 A2@= 2 = K2 4 = ;2 8 2 = G402 = G4 +2 = T2 L4 A44 0S4 = 2 = 52 = ;2 J4 N4 :0 J4 = 2 ^2 = = 2 2t= 3= 82 B Z2 4 2@= ;4 2 I= I0 O= ;2 2   . \ 4 54 \4 4 = .  = :0 J4 B4. Sg 2 ^2 4:4 '0S44 2t= A2t= 4 4 G40!= G4 N4 ;4 = = 4  M G4 :4 = ^. 4  84 A2 = ;4 J4 #4 64 O= I4 0 S= :. 0 4 0= :4 S= R 4 +4 64 ;4 2 +2 A2 A4 G4 64 = _4 2@= 0 ;4 2 2 R6= 0 4 Y2 Y2 @. 4 2@= 0 +4 2 eg V4 = UQ G4 64 2 J4 4 0 4 @. Y0= 4 ?4 4 4 +4 . = S= 3= +4 K4 = +4 2t= b2 N4 4 M4 = 2 2t= A4 @0 4 = 2@= . 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Q 0 +RQ . +4 A4 ;4 = 4 J4 c4 0 b2 /2 R+2 f R g !4 K4 R+2 34 +4 ;4 ;4 0 4 = L4 . 4. :2 bYH‡ebY\c‡ª…1¥€‡ed_bf¤lbY’cB…)ˆ+‚?vm‘¬ˆk‚?b1jŽ* T’7bsvBbY\ )‡ld%B\c‡lbs¤l’ ;v 1\+jŽ‡ld_b¨‚|…5vmSj 4    ? 2 ;4 . <2 34  )4 B4 I4 S= 4 N4 4 N4 \4 ;4 = 0 4 /=4 ]ˆ_b1 ‚ g€bY( vmv£$Š¯ " …)“µ  1¤l;S\k‚|j¸…5\ ‡ld_…;b¥£‡ej d_5b ‚|d_b1j·J vBB\f+b1‚|…5‚-¤lf‚|d_‡lB…1…)* \ h‡ld_€b#df…5b'vSj¸‚?…)’ vBƒ1jqvBˆ_vBb1m‚\_b1‚ 5…51df¤lbŽ\ ‡e" d_bŽf¤ltb1‚|¥©…5bY\H¤ ‡[ ’ 1vF, µ¾ : µ1O µ 4 ¾ & µ & " µ " ( " 2 ( 3µ ( & 0 2 ¥©¤e…5“ Q…)‡l‡e…5“ ‡l…®‡l…5 K7‡lm4 “-&ˆ_v ;‡eb1j-bY“ƒ‚«, ‚?m…5\#S‚€B\k‰ŠvBˆ+jcb1j ’7bY¤e‡lS‰ ;v+vBm\_b^S‚€‡ed_b£_¤lbT‚?bY\c‡€bYc‡lbs\H‡ H*†B‡ed%‡ld_b£ˆ__+bY¤ +…)ˆ_\+j +bYm\ [‡ldfb +…)ˆ_\+j 1¤l‘Ž…1¥‡ed_b _vm…5‡ €d_b H¥ +‚?…)¤l_‡eB…)\¥©¤e…5“ ‡ld_b J m…5\  B" /S‚ 5bY\_bs¤ ;vmvB‘%‚|vB 5dc‡lvB‘®v ;¤ 5bY¤}B\Ž‡ed_b \_bY*’7bs¤D‚?m…5\ %€dfb\_bY* +‚?…)¤l_‡eB…5\ +bYvm…;* ] " ( µ5g µ g ¶ S‚£jHˆ_b‡e…Ž‡ed_bB\k‰ŠvBˆ+‚|B…)\…1¥”bY_‰NB‡lbTj ‡ 1¤ )bY‡¨‚?‡ ;‡lbT‚ zHz ‡ld_b +\ ;v ;‡e…5“ƒ‰ dc‘_jc¤l… )bY\º‚|‡ ;‡eb%S‚ 1\ºbY_‰NB‡lbTj'‚?‡ 1‡lb €d_b#‚?_m§7b ;‡>"" 0 µ ¾ g ¶ ƒ‚t‡ed_b¤eb1‚?…)\ ;\+‰Nb*†B‡edŽ‡ed_b +¤D‚|‡ªbYf‰Šm‡lb1j%‚?‡ ;‡ebB\%‡ed_bdc‘_jc¤l… )bY\ 1‡l…)“ ;\+j ‡ldfbY¤lb ;¤lb#B\º¥ 5‰Š‡%‚|bY’7bY¤ ;v”‚?ˆk‰od ¤lb1‚|…5\ 1\+‰Šb1‚-*†m‡ld·‡ed_bŽd_ 5d_bs¤-bYf‰Šm‡lb1jº‚?‡ ;‡eb1‚ ;‡®vB…1*€bY¤ * Y’7bYvmbY\ )‡ld+‚ _ˆ_‡^‡ed_bY‘ )B’7b“¨ˆ+‰Dd%‚?“ ;vBvmbY¤†‚|_B§7bT‚ 1\+j ;¤eb[‚?“®…7…5‡ldfb1j¬…)ˆ_‡^B\#‡ld_ƒ‚tfvB…5‡ €b1‰ 1ˆ+‚?b[…1¥†‡ed_b[¤ 1‡ld_bY¤>‰Š… ;¤p‚?b¨* Y’7bYvBbs\ 5‡edŽ¤lbT‚?…5vmˆ_‡lm…5\ µ g ¶ \_b ;¤}‡ld_b¨¤lb1‚|…5\ 1\+‰Šb ”ˆ+‚|b1j 0 ¥©…5¤”‡ldfb‰N…5\c‡lB\cˆ_…)ˆ+‚t…) 5‰NB‡|‘%‰ 1vS‰Šˆ_v ;‡eB…5\k‚ ;\+jŽ‡ed_b£vBB\fb ;¤†m\H‡ebY¤l+…5v ;‡eB…5\#‡l…¨‡ld_b¨" ( ‡lm“b1‚ +\_bs¤ ´ r ] * Y’7bYvBbY\ 5‡ld#“b1‚|d 1\+j QbT‰ ;ˆ+‚|b[…5\_b¨…;¥/‡ed_b[* Y’7bYvmbY\ 5‡edŽ+…5m\H‡p‚ 5‰Š‡eˆ ;vmvB‘Žƒ‚ ‚?m‡lˆ 1‡lb1j ;‡”‡ld_b>‰Šbs\H‡e¤lb^…1¥ ‡ld_b£¤eb1‚?…)\ ;\+‰Nb Q‡ed_b£…5 )‰ŠB‡|‘*/…5ˆ_vƒj +bv ;¤ 5bYvm‘-…1’7bY¤eb1‚?‡eB“ 1‡lb1j F¥9B\+‰NvBˆ+jHm\ %‡ld_ƒ‚^’7bY¤l‘'‡ed_B\¤lb1‚|…5\ 1\+‰Šb %¦Œ‡£d )‚‡ld_bY¤ebŠ¥©…5¤eb +bYbs\vmbŠ¥©‡£…5ˆ_‡ ;\kj …)\_vB‘'‡ed_b k‚?…5¤e_‡lm…5\%b1j )b^¤lbs“ ;m\+‚ Z€d_bªM +‚|…5¤e_‡lm…5\%S‚/‰Š…5\+‚|S‚|‡lbY\c‡lvm‘vB…1*/bY¤ B\‡ed_b^\_bY*·’7bs¤D‚?m…5\ t02 2 ;4 HQ 4. eRc4 f 2 = 2 b2 4 = 4 :2 = 2 = 4 2 = 2 = 2 = 2 4 HQ f R6= . eg T2 G4 2 34 3= 8. . 0 l. 4 I2 . 4L. UQ b2 +4 )0 64 4 4L. = X 2 /4 0 !0 84 I4 G4 4 ^4 J4 b=4 <. Y0 <=;4 a4 <4 32 L4 ;4 :R K4 ;4 G4 ;4 ;4 <4 64 84 S= S2 :0 L4 I4 S2 4. +4 dQ 84 ;4 2 t0 t0 ;4 N4 +4 64 0 H4 0 +4 P4 4 0 4. :0 a0 ;4 \4 B0 ;4 +4 2 R A 64 =. I4 ;4 \4 ;4 4 84 ;4 @02 U. 0 . D. G4 Y0 N4 3= 4 b= "5" g b1‚|QbT‰Š 1vBvB‘¨‡l…1* ;¤Djf‚ª‚|d_…5¤e‡lbY¤†* T’7bsvBbY\ )‡ld+‚ ;\+j%vB…1*€bs¤†‡lbY“+bY¤ ;‡eˆ_¤lb1‚ €d_b'‰Dd 1\ 5b1‚[B\ ‡ld_bM+, +‚|…5¤lf‡lB…)\ c‘‡ed_b J “…)vBb1‰Šˆfv ;¤>B…)\ ]  g ( ²“®…7‚?‡evB‘ J4 \4 \4 ;4 0 0 4 [4. 64 . 2 J4 Q @02 2 R6= ]‡ldf b g 0“$D…)¦Œ\vBb1‰N‡eˆ_d_vS1‚¤fmvB…5…5\ ‡[7‡eB\kd_‰Šb#vBˆ+‚?jc…)BvB\Sj£vB‚|B‡l\fm“-bˆ_S‚v ;‡e‡ed_b1b%jL‰ŠbY…)“®“ S‚l_‚|mB\ …);\ ‡eB?…)K \‡ ;…1\k¥ ‰ŠBHvZ¥ " ;\kj /M €d_+b^‚?…)jc¤l…5_‡l‡e‡eBb1…)j[\ vBBc\f‘ b ‚?df…;*”‚† ‡ldfb c¥ 1¤l‡†…1¥ ‡ld_ƒ‚ +‚|…5¤e_‡lm…5\ ] …5¤”‰Š…)“ ;¤eS‚|…5\%S‚€_vm…5‡e‡lb1j4)4 ‡l: dfb^_¤lbs’Hm…5ˆ+‚|vB‘ˆ+‚|b1j B\c‡lbs¤l+…5v ;‡lm…5\…1¥ * Bd 1v )‚ l" 452)¾ )‚?b1j…)\º‡ld_b®‚?bY“®S‰Šv 5‚l‚|S‰ 1v¤lbT‚?ˆ_vm‡D‚^…;¥  1‡lb1‚ l" 4)¾ ( Œj 5‚?dfb1jvBB\fb1‚ €d_b>‰Šˆ_¤e’7b1‚ ;¤eb„¥©…)¤  ¾ µ : µ TO µ m" +µ ( +µ 0 _µ : +µ 2 fµ & a" ( ¥©¤l…)“ +…5‡e‡l…5“ ‡e…-‡e…5 TMnb1‰N‡‡ldfb-vm…;*€,u‡lbs“+bY¤ 1‡lˆ_¤eb 1‚|d_…5¤e‡?,u* Y’7bYvBbs\ 5‡ed'¤lb )B…5\ bY\_d ;\+‰Šm\ Ž‡ed_b J +‚|…5¤lf‡lB…)\ c‘ ;vm“…7‚|‡ Ž¥ 5‰Š‡e…5¤¨…;¥£‡ed_¤lbYb g ‡>vB…5\ 5bY¤¨* Y’7bYvmbY\ 5‡ed+‚L‡ed_…5ˆ 5d †‡ldfb¬ˆf{j ;‡lb#‡lbY\kj_‚‡l… jHb1‰N¤lb )‚?b'‡ldfb +‚|…5¤lf‡lB…)\ ‚?vm )dH‡evB‘ Œ‚|bYb €bYvBv l" 4 & µ -¥©…)¤ qjcS‚l‰Nˆ+‚l‚|B…5\ …5\ ‡ldfb'’ 1¤lm…5ˆ+‚ ;f_¤l…1cB“ 1‡lB…)\+‚²m\%‡ld_b£‡|*€…¨‰ )‚?b1‚ €d_bˆ_nj 1‡lb…1¥”‡ld_b k‚?…5¤e_‡lm…5\ºd )‚‚?…)“b¨bŠMnb1‰Š‡ 1‡B\c‡lbs¤l“b1jc ;‡eb* T’7bsvBbY\ )‡ld+‚ ;\kjqvB…1*‡lbY“®Qbs¤ ;‡eˆ_¤lbT‚ *† d_bY¤lb%‡ed_b +‚|…5¤lf‡lB…)\·S‚vm…;*/bY¤lbTj c‘ )‚ “¨ˆ+‰Dd )‚¬" ¾ 6 ;\+j ;‡>d_ )d‡lbs“+bY¤ 1‡lˆ_¤eb1‚ ;\kj‚?d_…)¤l‡[* T’7bsvBbY\ )‡ld+‚”*†d_bY¤lb®‡ld_b +‚|…5¤e_‡lm…5\ºS‚^B\k‰Š¤lb )‚?b1j c‘ ˆ_'‡e… 0)¾¬6 u‚?bYb ]  g 0 £€dfb[ˆ_nj ;‡eb‰Š…)\+‚?ƒ‚?‡p‚ªB\'‡e¤lb 1‡lB\ ‡ld_b c¥ +‚?…)¤l_‡eB…)\¥©ˆ_vmvB‘ ~7ˆ ;\c‡lˆ_““b1‰Dd 1\_S‰ 1v ;\kj-B\+‰NvBˆ+jHm\ : ( 0 +…5ˆf\+j¬¤e…5‡ 1‡lm…5\ 1vF,u’H _¤ 1‡lB…)\ ;vZ‚|‡ 1‡lb1‚ ?K7‡ ;\+‰Šmv " 4)4 : 5‚£…5_+… ‚?b1j‡e…Ž‡ed_b‚|bY“ ,|‰Šv 5‚e‚?S‰ ;vW‰Š…5\c‡lm\Hˆ_ˆf“ …;¥t‚?‡ ;‡lbT‚Lˆ+‚|b1j c‘  ;‡eb1‚ l" 45¾ ( H ;\+jHm\ Ž‡ed_b* T’7bsvBbY\ )‡ld'm\H‡ebY¤l’ ;v/jH…1*†\c* 1¤Dj ;vS‚|… _¤eB\ ‚Lˆ+‚£…5ˆ_‡>B\ %¤lb )B…)\‡ed ;‡ *€…)ˆ_vSj )bY‡ªˆf\+jHbY¤p‚ ;“®_vBb1j[*†B‡edŽ‡ed_b£…5vSj%j 1‡ ¦td T’7b[\f…5‡ +bYbY\ _vmb[‡l… +\+j ;\c‘Ž\_bs*€bY¤£‰ ;vS‰Nˆ_v 1‡lB…)\+‚ª…1¥ k‚?…5¤e_‡lm…5\ c‘Ž‡ed_b ~7ˆ 5‚|F,u“…5vmb1‰Šˆ_vmb 5‚|…[B\ ]  g : ¦+Xlˆ+‚|‡€_¤eb1‚?bY\c‡€*†d ;‡†d )‚ ;vB* Y‘_‚ QbsbY\ˆ+‚|b1j * ‘[v 1¤ )b1‚?‡ t02 2 D.  J4 l. b= 0 ;4 ;4 J4 Q !4 K. aQ b2 DQ R62 . G4 84. G4 ;4 #4 4L. +4 . R+2 ;4 RK.;4 G4 f ?4 f I4 2 := 2 84 = 2 = 2 = 2 = XQ 2 = R :2 b2 4 . +4 U4 4 /4 L4 4 84 2 4.  4 +4 4 @0 @02 ;4 2 R+2 0 \4 54 ;4 4 )4 K. S= 0 a @02 2 !4 :4 J4 4 U4 \4 0 _4 =84 c4. L4 . +4 L4 !0 ;4 34 . t. +4 64 84 4 +4 V4. b= K4 4 0 4. H4 . 0 G4 a0 eR ;4 \4 I4 ;4 0 !0 H4. R+=?4 54 54 0 ZQ 4. A4 Q ;4 T= +R+2 = +4 I0 84 Q I4 4 !0 @0 N4 0 =W4 ]. 84L. ;4 . 0 <. +4 BQ 84 U4 64 Q R+2 I0 ;4 2 34 J4 54 B4. ;4 84 \4 ?. _. 2 J4 )0 "5" &           #     ? ]B\k‰ŠvBˆ+jcg b1j: $Dd_€bYdf¤lb£b ¥©…5+¤£‚?…)‰N…5¤l_“‡eB…)1\ ¤lƒ‚?H…5‘\#‡e*†d_Bb ‡edŽ‡ldfb…5~ ‡eˆd_bY)¤£‚? ,Œ‚|“…5ˆ_…)¤pvB‰Šb1b1‰N‚ªˆ_vB…1b¨¥ S‚[+ˆ_‚|…5\+¤l‰Dfd ‡l;B\…)\5b1£j €_d_ˆ_b­‡[‰Šˆ_d ¤l)’7‚ bT‚+bY1bY¤l\ b ¥©…5¤  ¾ µ : µ TO µ m" ( µ*†B‡ld#‚|‡lbY+‚†…;¥ µ m" H¥©¤e…5“ ‡l…)¬‡e… +…)‡l‡l…)“ ‰Š…)\+‰ŠbY¤e\'*†B‡ld‡ldfS‚^…5 )‰ŠB‡|‘ ‚?…5ˆf¤D‰Šb[ƒ‚„‡ed_b¨bYH‡e¤ 1Q…)v 1‡lB…)\+‚^B\c’7…5vm’7b1j £€d_b¨…5¤e 5m\ ;v/j 1‡ Œr”…;‘cvBb}" 4)2 & W…5\_vm‘[‰Š…1’7bY¤ " ¾ : µ 2252 g ¶ ;\+j  µ ¾ ( 3µ  ‡ldfb†d_ )d_b1‚?‡W‡lbY“+bY¤ ;‡eˆ_¤lb1‚ ;\kjŽ‚?df…5¤l‡eb1‚?‡”* Y’7bYvmbY\ )‡ld+‚ d T’cB\ -‡ed_b£v ;¤ 5b1‚|‡ +‚|…5¤e_‡lm…5\ 1¤lb>\_…5‡”‰Š…1’7bY¤eb1j €d_b%B\+‰NvBˆ+‚|B…5\ …;¥„‰Š…5\c‡lm\Hˆ_…)ˆ+‚L“®…5vBbT‰Šˆ_v 1¤£…5 )‰ŠB‡eBb1‚ Œ‚?bsb ]  g ¾ ^d )‚d ;¤pjHvB‘ ;\c‘ bŠMnb1‰Š‡€¥©…)¤^‚|…5v ;¤ ‹ …7‚e‚?bYv ;\+j%“b ;\®…5 )‰ŠB‡eBb1‚ 5‚ª‡ed_b _ˆ_\kj ;\+‰Nb1‚ª…;¥ ‡ld_b1‚|b£“…5vmb1‰Šˆ_vmb1‚ 1¤lb ~7ˆ_B‡ebvB…1* u‚?bYb ]  g 4 €ˆ_‡ª‡ed_bY¤ebS‚ ‚|“ ;vmvabŠMnb1‰Š‡ ;\c‘H* T‘ 1\+jŽB‡”B\+‰N¤lb )‚?b1‚ 5…)B\ ‡l…#‰Š…7…)vBbY¤>‚|‡ ;¤p‚ ] ¤e…5“ ]  g 4 */b 1vS‚?…#‚|bYb-‡ed ;‡£‡ed_b-\cˆ_“ +bY¤^jcbY\+‚?m‡lmb1‚ª…;¥9“…5vmb1‰Šˆ_vmb1‚ jHb1‰N¤lb )‚?b^“…)¤lb”‚|vB…1*†vB‘¨*†B‡ed‡lbY“®Qbs¤ ;‡eˆ_¤lb€¥©…)¤†vB…1*€bs¤€O PyR 1\+j-d_ 5d_bs¤²@ BADC E ·d_bY¤lb ŒO  OQPSR¸¥©…)¤%‡ld_b¤lb1‚|+b1‰Š‡lm’7b'‚|‡ ;¤p‚ ^*/b… +‚?bY¤e’7b'“…5¤eb'‡ld 1\ ¥ 5‰Š‡e…5¤%…;¥­‡lbY\ B\ jH M{bs¤lbY\+‰Nb +bY‡|*€bYbs\ €…7… ;\+j -¯ bY\  \+j£\_…1*q‡e…^‡ldfb€“bY‡ ;vmvBS‰a…5 5‰Šm‡lBbT‚ €dfb€\_bYc‡Z‡ld_¤ebYb )ˆ_¤lbT‚ ]  g 2 , g & n_¤lbT‚?bY\c‡ g ‡ldfb +‚|…5¤lf‡lB…)\ ¥©¤e…5““bY‡ 1vBvmS‰ +‚?…)¤ +bY¤D‚ 0 , : +bY¤ _vm…5‡¥©…)¤‡ldfb”‚ ;“®b€‡ldf¤lbYb/‡lbY“+bY¤ ;‡eˆ_¤lb1‚ 5‚ B\  /€d_b^* Y’7bYvBbY\ 5‡ld 1Hƒ‚S‚²…)¤ ;\_miYb1j[B\‡ed_b^‚ ;“b”* Y‘ 7*†m‡ld¨‡ld_b”‡ld_¤ebYb ’7bY¤e‡lS‰ ] ;vavBm\_0 b12‚ 0 )‚„& m\'‡ld_b[f¤lbY’cB…)ˆ+‚ 5ˆ_¤eb1‚^B\'‡ldfS‚ ;_+bY\+jcB g  ;¤l‡”¥©¤l…5“‡ld_bT‚?b¨¦€d Y’7b ;vƒ‚?…#_vB…)‡l‡lbTj‡ld_b ‹ … ‚l‚?bsv ;\kj*€bY 5dc‡lm\ ¬¥©ˆ_\k‰Š‡lm…5\'¥©…5¤‡ed_b‡ed_¤lbYb¨‡lbs“+bY¤ 1‡lˆ_¤eb1‚ Œj )‚?d_b1j ‰Šˆ_¤e’7b1‚ª…)\ %‰Š…5““®“-…)\ fˆ_‡ ;¤ fB‡l¤ ;¤e‘‚l‰ 1vBb {‡l… 5B’7b -¥©bYbsvBB\ -¥©…5¤£‡ldfb-bŠMnb1‰N‡^…5\‡ed_b ‹ …7‚l‚|bY v 1\+j¬…) jH5S‰N‚|_B‡|v ‘ Y‘f‚€‡ld_b +‚?…)¤l_‡eB…5\ c‘¨\_bYˆ_‡e¤ ;v v 1\+jK  ;\+j [B\% ;¤e‡lƒ‰Šˆ_v 1¤ jHb1‚|bY] ¤l’7bT‚ g ”‰Š2 …5““®bY\H‡ +€d_b )¤l…)ˆ_\+j‚|‡ 1‡lb +‚?…)¤l_‡eB…)g \‡l…”* ‡ldfb fvBˆ_b …;¥ " 2 ( " * ¾ g ¶ d 5‚ t¤ ;‡ldfbY¤ t02 2 ]4L. . ;4 ;4 ;4 f f \4. 2 2 2 := ;4 Q 84 0 G4  f  = 54 G4 Q @0!2 +4 !0 L4 2 ;4 ;4 B4 t02 2 . c4 = B4. @0!2 2 2 2 4L. \4 U4 2 4 R ;4 ;4 4 4 4 ). !0 J4 @0!2 2 =4 L4 80 0 X. t0 ;4 4 f 2 /4 ;0 b= Z4 ). @0!2 )0 4 2 R 64 Y4 B4 2 84 S= 54 0 64 2 )4 X4 t0 . Q = \ 50 4 ;4 2 \4 ;4 2 =4 J4 64 4 #4 . 54 +4 34 4 +4 A2 64 4 ;4 @0 @02 Z4. +4 +4 @0 <4 N4 a4 L4 2 XQ =;4 R62 2 B4. J4 2 D. 4 2 f Y0 ;4 <2 J4 4 Sg J4 U. b2 D. +4 R 4 !0 ;4 +4 I4 :R6= H0 X4 Q 4 !0 S2 J4 Z4L. 32 0 <. +4 +4 84L. 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V4 84 4 J4 +4 2 4 0 0 KQ N4 L4 ]4 = I4 e4 :0 ,R egg 0 I4 J4 /2 @0!2 _Q R 4eR+= ;4 S4 +4 @02 2 2 ]€d_ b”‡lg d_m\¨& $ ‚?€…)…)vBSˆ_j[\+vBj m\_,©¥©b1¤l‚ bsb[1¤l…5b† ¥©)…5‰Š¤ B‡|‡l‘¬dfb ¥©¤e…5b1“ ¦a…5; ‡l)…)‰Š“B‡|S‘ ‰ ] b ;‡s¯ "†  µT, 1\+" j‡e1d_\+bj ¯ ?K Y*€mbs…5‘ \ Qbs€¤^bY¤e¤l;m¤e\ ‡l5ƒ‰Š‡e…5vBb \ " 4)4 ( fvBˆ_bY* ;¤pj_‚…;¥ "" ¾ µªg ¶ Q…)‡ld¨] ‡ld_b }¦{…5 )‰Š* B‡|‘ * 1: ‡Y"†: ( ¾ , ( 2 ;\kj‡ld_b^¯ )¦³…) 5‰Šm‡|‘ ¥©¤l…)“ * ;‡s"ª 0 & , 054 ;¤lb”_vm…5‡l‡eb1j[*†B‡ld jH…5‡|,|j )‚?d_bTj 1\+j‡ld_b”‡ld_ƒ‰o§­‚?…)vBSj[vBm\_b”S‚‡ld_b£¯ 5¦e¦ B…)\ …) 5‰NB‡|‘ * ;‡Y"' 054 , : µ ³bY“®Qbs¤ ;‡eˆ_¤lbT‚ 1\+j ‹ …7‚l‚|bYv 1\+j·*€bY 5dc‡lB\ ¥©ˆ_\+‰Š‡eB…)\+‚ Œj 5‚?dfb1j¬vmB\_b1‚ )‚9¥©…)¤ ]  g 2 t02 2 ;4 4 4 R . ;4 Q !4 ;4 \4 4 2. b2 S= cQ 4 ;4 XQ 4 Q +R?4 4 4 b2 SR+2 t02 2 2 4= +4 4 b2 4  4 R 4 NQ b2 ;4 4 0 R?4 4 =4 D4 S2 ;4 4 J4 t0 !0 ]‡lm…5 \%…;g ¥ “4 $Db €;df\®bª‡l\cbY“ˆ_“ +QbY¤ bs;¤‡ejHˆ_bs¤l\+b”‚?Bm\ ‡lBbT‚‡|…;‘H¥ fS‰ 1, va‚?\ ;+, ‚|d_´ …5‡^, …1c¥¯ ‡ed_b[, K71ˆ_\+\ j /¦Œ\´ ‡l,udf“S‚€…)_vBb1vm…5‰Šˆf‡}vB¦b1‚ 1vS)‚|…‚ ¥©‚|ˆ_d_\+…1‰D* , ‡ldfb _ˆf\+j ;\k‰Šb1‚€ˆ+‚|b1j ¥©…5¤†‡ed_b^d_b T’cBbs¤bYvBbs“bY\c‡D‚ )‡l…“ ;§7b†B‡/b 5‚|BbY¤/‡l…9Xlˆ+j 5b}‡ld_b^m“+…5¤|, ‡ 1\+‰Šb†…1¥a‡ldfbª’ ;¤eB…)ˆ+‚…5 )‰ŠB‡|‘[‰N…5\c‡l¤l _ˆ_‡eB…5\k‚ ´ \¨‡ld_b”vBbN¥©‡ +‚l‰Šƒ‚l‚ ¦ad Y’7b†‡ld_b†\cˆ_“ Qbs¤…1¥ ‡ldfbª¤eb1‚?+b1‰Š‡eB’7b/ ;¤e‡lS‰NvBb1‚+bY¤ 5¤ ;“…;¥Z‚|‡lbYvmv 1¤²“ ;‡l‡ebY¤ ;\kj-…5\‡ed_b”¤l )dH‡ ;cS‚²‡ed_b†\cˆ_“ +bY¤ jHbY\k‚?B‡eBb1‚ ;¤eb\_…)¤l“ 1vBBisb1j ‡e…-‡ed_b£\Hˆf“ +bY¤p‚ …1¥ dc‘_jH¤e… )bY\ ;‡l…)“%‚ t02 2 X. 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