Convergence behavior of the (1^+,Lambda) evolution strategy on the ridge functions

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tsI PB8 Y }st h w / D  qY w d , D Te7 VjB$Y8 / U) ( $t$$sj$9 h w ( D %sjZs h w ( D bY$j tB 8$ts IB h 1 w / D U) 8Zs h w / D %sjZs h 1 w / D h w / Ld D U) Rj{ w d , D h 1 w / D / U) / Ld BI 3$Z dU qY w d , D ue7 VjB$Y8 b$YBZ RjPTsIs}s$Bt yt 3$Z d RZABZ$tR BP Y sjB$Y8 s b$t $t $sj${  3$R b $t$$sj$9 Y }st h w ( D  qY Rs$t }B$t {st A {YBRt sA$s$jk YBb% $t BI B A sAj B {B8}s Y RZjR b$Y I$&t 8Zs$Bt RtYR sjj Y h w ( D s $t$$sj$9I $t Y Rs8 8stt qY %sjZs PZt{$Bt {sj{ZjsR Y BA`{$% PZt{$Bt %sjZ w R D BP Y }ss8 R$t }RtI $t Y $tI$%$IZsj w R D  qY 8Zs B}sB tsR B&R}$t s{{BI$t B y 1 i U) y i L . [ E 3 w d D qY$R B}sB ZRR tB8sjjk I$R$AZI stIB8 tZ8AR . [  [ w ( , d D w b$Y 9B 8st stI %s$st{ Bt D B ts Y  $tI$%$IZsjR $t h I w / D  Wb stIB8 Rs8}jR s ZRI PB s{Y $tI$%$IZsj stI PB s{Y %s$sAj BP sjj $tI$%$IZsjR G ItB Y  $tI$%$IZsjR BP Y B&R}$t h I w / D sR { 7 RZ{Y Ys h I w / D ) \ { 7 / 7 )d ,333, i  qY ] %s$sAjR BP st $tI$%$IZsj { 7 s {sjjI y 1 i  { 7 ) \ y 1 i / i )( ,333,]  d i  stI BP h w / D w Y Btjk }st D sR h w / D ) \ y i / i )( ,333,]  d i  ZR$t Y RZAR{$} i  qY y 1 i s YPB [ w y i , 1 D I$R$AZI qY 8Zs$Bt RtY  $R }B%$II Ak Y ZR ]Bt%t{ Ys%$B BP Y w d L , D e%BjZ$Bt 7sk n s Y A$tt$t BP Y R$8Zjs$Bt $ $ $R {BtR$II sR st -BtBZR {BtRst $t Y$R bB, qY R$8Zjs$Bt jsRR PB s h-I tZ8A BP ts$BtR $%t Ak Y ZR YT PB Y 8$ts PZt{$Bt $R sjRB R$8}j qY Rj{ B}sB {BIR Y $tI$%$IZsj Ys%$t Y Y$YR BA`{$% PZt{$Bt %sjZ s8Bt Y B&R}$t stI Rj{R $ sR Y }st BP Y t- ts$Bt qY }st BP Y B&R}$t IBR tB s, }s $t Y Rj{$Bt $P Bt YsR Y {B88s Rsk yt {sR BP Y }jZR Rsk b ItB Y Rj{$Bt B}sB sR Rj{ w dL  D h I w / D  h w / D  V Y jsR R} Y ts$Bt {BZt $R $t{8tI stI Y jBB} RsR PB Y t- ts$Bt n qR PZt{$BtR 7%sj R PZt{$BtR s stsjk9I $t Y R$8Zjs$BtR BP Y$R bB, yt Y$R R{$Bt YR R PZt{$BtR b$jj A j$RI sR bjj sR Y Iht$$BtR BP RB8 jsI R PZt{$BtR yt Y$R }s} Y $I PZt{$BtR s stsjk9I stI js Y {stZjs stI {kj$tI${sj {B$IB 8BIj  qY Yk}}jst R PZt{$Bt stI Y R}Y 8BIj s ZRI $t Y {B8}s$RBtR 8sI IZ$t Y stsjkR$R Vjj Y R PZt{$BtR $%t $t Y$R R{$Bt s B A 8s-$8$9I Ak Y w d L , D ue%BjZ$Bt 7sk qY R}Y 8BIj >i{n }ddxH {B8}$RR sjj PZt{$BtR b$Y R}Y${sjjk I$R$AT ZI JZsj$k PZt{$Bt %sjZR qYZR Y {Bt{t${ Yk}R}YR s BII sBZtI Y B}$8Z8 bY${Y $R {YBRt B A jB{sI $t Y {BBI$ts B$$t $t BI B 8s, Y Iht$$Bt BP Y PZt{$Bt R$8}j qY JZsj$k PZt{$Bt %sjZ $t{sRR sR Y I$Rst{ B Y B}$8Z8 I{sRR yt Y tsj {sR Y R}Y 8BIj {st A -}RRI sR B w - D ) B (  W + 0 >   : ] 3 7 )d ? 1 7 I O , w 1 D stI W w 3 D RstIR PB stk tBtI{sR$t 8BtBBtBZR PZt{$Bt qY tsj {sR BP Y Yk}}jst R PZt{$Bt $R IhtI sR B w - D ) y ( L ] 3 7 )d y 7 ? 7 ,y ( ; {p, y 7 ; {p L 3 w n D qY {BBI$ts s-R {st A BsI RB Ys Y B w - D $t w n D I}tIR Btjk Bt Bt %s$sAj  ? d  qY $I PZt{$Bt Ps8$jk $R IhtI Ak B w - D ) ? (  Q X ]  d 3 7 )d ? 1 7 ~  ! , w ; D bY  ; {p, Q ; {p L  qY }BR$$% Ps{B Q $R ZRI B R{sj Y &{ BP Y tBtj$ts }s Bt Y }BRR AYs%$B y $t4Zt{R Y XYsItRR" BP Y B}$T 8$9s$Bt }BAj8 qY  }ss8 IhtR Y $I PZt{$Bt k} PB  )dBt ;( Vy !k8st <p k m <_ 7{YbPj R Y RYs} $I stI PB  ) 1 Y }ssABj${ $I R PZt{$Bt qY }ssABj${ $I bsR sjsIk stsjk9I $t >! 7H _ssABj${ $I stI RYs} $I {sRR s RYBbt PB bB %s$sAjR w ] )1 D $t 3$Z 1 stI 3$Z n R}{$%jk 3B  )( Bt R Y Yk}}jst 3$Z 1U qY }ssABj${ $I R PZt{$Bt w $   D PB ]   Q  3 @  ?  %sjZR s RYBbt Bt Y YB$9Btsj s-$R ? @ Bt Y %${sj Bt yt Y$R {BtBZ }jB Y $BtR b$Y js JZsj$k PZt{$Bt %sjZ s $tI${sI $t A$Y {BjB qYPB Y B}$8Z8 $R s Ps $Y 3$Z nU qY RYs} $I w $  @ D PB Q  3 @ w hZ jP D stI Q @ w hZ $Y D  R}{$%jk ]   7 sjRB Y jtI BP 3$Z 1 qY t$YABYBBI BP s }B$t - b$Y B w - D {BtR$R$t BP }B$tR b$Y B w - 1 D  B w - D $R {sjjI RZ{{RR $Bt qY RZ{{RR $Bt BP Y $I PZt{$BtR $R tB ABZtII ]Bt%t{ Ys%$B BP Y w d L , D e%BjZ$Bt 7sk ;d qY B}$8$9 BP Y$R PZt{$Bt $R $%t sR | ?   L | ? 7 )( , d  7  ]  d 3 w x D qY RJZs BB BP Y RZ8 BP Y RJZsR $R ts8I sR Y I$Rst{ B Y }BRR s-$R $  U) >   : ]  @ 3 7 )d ? 1 7 3 w E D G sjRB stsjk9 Y }BRR AYs%$B BP Y e%BjZ$Bt 7sk Bt Y {B$IB 8BIj R PZt{$BtR qY {B88Bt }B}k BP Y {B$IB 8BIj PZt{$BtR $R Y tsBb {B$IB bY${Y $R BAs$tI ZR$t R${$BtR $t sjj I${$BtR -{} BtU Y }BRR I${$Bt qbB {B$IB 8BIjR s $t%R$sI bY${Y s ts8I sP Y RYs} BP Y {B$IB bsjjRU qY {stZjs {B$IB 8BIj >7{Yx }dn; }nxdH stI Y {kj$tI${sj {B$IB 8BIj >7{Yx }nEdH yt Y }BAj8 {ssjB BP >7{YxH Y R${$BtR stI Y BA`{$% PZt{$Bt s $%t PB Y tsj {sR BP YR bB 8BIjR qYk b$jj A R$8}j$hI RB Ys Bt YsR Y ? ( s-$R sR Y }BRR s-$R stI Y {BtRs$t ABZtIs$R }ssjjj B Y ? ( s-$R qYPB Y {stZjs {B$IB 8BIj $R $%t sR B w - D ) F ? ( $P sjj t i w - D PZjhjjI  BYb$R w  D t i w - D U / ? i / K, K ; {p L , PB i )d ,333,]  d 3 w M D qY {kj$tI${sj {B$IB 8BIj $R IhtI sR B w - D ) F ? 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7 };;H yt 7{$Bt x1 $ bsR $t%R$sI PB 1    M ZR$t w d , d( D ue7 _7Ps }js{8tR    R$8s >tB8sj$9IH BRR s >tB8sj$9IH  )n  )x {B88s }jZR {B88s }jZR _7Ps }js{8tR    R$8s >tB8sj$9IH   d L , d(  }BRR s >tB8sj$9IH  )n  )x {B88s }jZR {B88s }jZR 3$Z d;U WB8sj$9I }BRR s %RZR tB8sj$9I 8Zs$Bt RtY qY {B8}s$RBt BP Y $I PZt{$BtR PB  )n stI  )x  qY %sjZ   @ , @ $R sjRB RYBbt $t Y }${ZR qY }BRR s BP Y }jZR Rsk RZ}sRRR Y   @ , @ stI sjRB Y |   @ , @ PB  )x w hZ $Y D  qY   d L , {Z%R s {B8}sI PB  ) n stI  ) x $t 3$Z d; qY {B88s Rsk YsR A }BRR sR PB stk   %sjZ s  )n 3B  ) ; Y }s, %sjZR BP YR Rj{$Bt Rs$R s %k ts B s{Y BY YBb% Y {B88s Rsk RYBbR js }BRR sR PB stk    3B  )x w 3$Z d; $Y D  Y |   dL  %sjZ $R Rj$Yjk js Yst |   d ,  qY   dL  $R js $t Y $t%sj d 3 E c    c  ; 3 x qY RYs} BP Y   dL  {Z% IBR {Yst Btjk s j$j A$ sR  $R $t{sRI PB8 Y B h% YBb% Y {Yst s Y   d , {Z% PBjjR ZR Ys Y }jZR Rsk b$jj $% {B8}ssAjk A }BRR sR PB js   qY }BRR s BP }jZR stI {B88s Rs$R PB  ) E; s {B8}sI $t 3$Z dx 3B R8sjj 8Zs$Bt RtYR ABY Rs$R $% sj8BR Y Rs8 RZjR BYb$R w PB   k  d 3 ; D Y   dL  %sjZ $R Iht$jk A qY IsR${ I$&t{ s   )1  d , d(  n 3 (M bY Y }jZR Rsk $R 8B Yst h% $8R A Yst Y {B88s Rj{$Bt Rsk b$jj A -s8$tI 8B YBBZYjk qY h X d L , %sjZR s sj8BR Y Rs8 s Y$R   %sjZ w h X d ,  ( 3 xd h X dL   ( 3 xn 3$Z d1 D qY p w  D d L , %sjZR s sjRB sj8BR Y Rs8 w Y p w  D d , $R sABZ h% } {t s Yst p w  D dL   3$Z d( D  W$Y Y RZ{{RR }BAsA$j$k x; Vy !k8st <p k m <_ 7{YbPj _7Ps }js{8tR    R$8s >tB8sj$9IH   d L , d(  }BRR s >tB8sj$9IH  )E; {B88s }jZR 3$Z dxU WB8sj$9I }BRR s %RZR tB8sj$9I 8Zs$Bt RtY PB Y $I PZt{$Bt b$Y  )E;  qY %sjZ  1 d , d( $R sjRB RYBbt $t Y }${Z 3B   c  d 3 ;  ABY Rj{$Bt Rs$R $% R$8$js RZjR BYb$R Y }jZR Rsk $R A hZR tB Y p w  D hZR {st -}js$t Y }BRR s I$&t{ Abt YR bB Rs$R 3B Y$R }Z}BR 3$Z dE {st A ZRI _7Ps }js{8tR p w  D d L , d(  d L , d(  )M  )E; {B88s }jZR _7Ps }js{8tR p w  D d L , d(  d L , d(  )M  )E; {B88s }jZR 3$Z dEU qY }BRR s %RZR I$Rst{ B Y $I s-$R BY s-R s ZttB8sj$9I qY  %sjZR s {B8}sI PB Y Rj{$Bt Rs$R s  )M w hZ jP D stI  )E; w hZ $Y D qY  dLd( %sjZ $R s Yst  d , d( Bt Y hZ $Y PB p w  D k d  qY  u%RZRu p w  D }jBR PB  ) M stI  ) E; s $%t $t 3$Z dE BY s-R s ZttB8sj$9I 3B  ) E; Y }BRR s %sjZR I{sR sP p w  D  d stI Bt RR Ys  d , c dL  PB Y Rs8 p w  D %sjZ w }jsR tB Ys Rs8 p w  D IBR tB t{RRs$jk 8st Rs8  D 3B  )M|  d L , $R ss$tI s s js p w  D %sjZ stI Y }jZR Rsk RYBbR R8sjj }BRR sR Yst Y {B88s Rsk PB js p w  D %sjZR VR s {Bt{jZR$Bt Bt RR Ys Y |  d L , %sjZ I}tIR Bt Y p w  D %sjZ w B A 8B }{$Rjk $ I}tIR Bt Y  %sjZ s bY${Y Y {$${sj p w  D 8st$ZI $R s{YI D  qY  %sjZ $tI${sR YBb js Y &{ BP p w  D $R ]Bt%t{ Ys%$B BP Y w d L , D e%BjZ$Bt 7sk xx $t Y BA `{$% PZt{$Bt  Y |  %sjZ $R s{YI sBZtI p w  D  d PB  )E; qY$R -}js$tR bYk Y   d , u%RZRu   {Z% I{sRR RZIItjk w 3$Z dx D  qY I{sR $t   dL  bsR tB RB RYs} R$t{ Y p w  D dL  IBR tB $t{sR $t   sR PsR sR p w  D d , w R3$Zd( D  _7Ps }js{8tR    R$8s >tB8sj$9IH BRR s >tB8sj$9IH BRR s >tB8sj$9IH w dL  D ue7 w d , D ue7  )E;  )E;  )M  )M  )x  )x  );  );  )n  )n  )1  )1 _7Ps }js{8tR    R$8s >tB8sj$9IH   d , d(  }BRR s >tB8sj$9IH   dLd(  }BRR s >tB8sj$9IH w dL  D ue7 w d , D ue7  )E;  )E;  )M  )M  )x  )x  );  );  )n  )n  )1  )1 3$Z dU WB8sj$9I }BRR s %RZR tB8sj$9I 8Zs$Bt RtY PB I$&t %sjZR BP  qY   dLd( %sjZR s RYBbt Bt Y hZ jP qY   d , d( %sjZR Bt Y hZ $Y I{sR B 9B RZIItjk sP   k  1  d , d(  n  qY tB8sj$9I }BRR sR   dL  stI   d , s }jBI t- B s{Y BY $t 3$Z d PB I$&t %sjZR BP   qY {sR  ) 1 $R I$R{ZRRI $t I}Y $t >! 7 };MPH qY RZjR PB {B88s Rsk s $%t sjsIk $t 7{$Bt x1 yt 3$Z d Bt {st {B8}s Y RYs}R stI Y sRk8}B${R BP Y }BRR s hZR PB Y }jZR stI {B88s Rsk 3B   x Y }jZR Rsk $%R A RZjR w R$t{  ; {p  Bt YsR B tB Y Ys Y -s{ %sjZ PB Y {Yst bY |   dL  A{B8R js Yst |   d , RYBZjI A Abt PBZ stI h% D  qY ts$%   8 $t Y BA`{$% PZt{$Bt 8s,R Y }BRR $t Y ? ( I${$Bt PB Y {B88s Rsk %k YsI w R w 11 D D  R$t{ p w  D d , $t{sRR PsR Yst p w  D dL   qY }jZR Rsk }BhR PB8 Y jBb p w  D %sjZR stI   dL  I{sRR 8B RjBbjk  !t Y $t4Zt{ BP Y tZ8A BP B&R}$t qY YB${sj PB8Zjs IR{$A$t Y {Bt%t{ AYs%$B BP Y w d , D Te7 s Y }ssABj${ $I R PZt{$Bt b$jj A %$hI Y ZR$t js %sjZR PB Y tZ8A BP IR{tIstR w  ( d( D  qY PB8Zjs PB   d ,  p w  D d , stI h X d , s I$%I stsjk${sjjk $t >! 7H qY I$%s$BtR IB tB 8}YsR$9 s R}{$h{ %sjZ PB   YBb% R$t{ $ $R sRRZ8I Ys ] w Y tZ8A BP I$8tR$BtR D $R RZ^{$tjk js b IBZA Y PB8Zjs B A %sj$I PB Y$Y %sjZR BP  $P ] $R ,} {BtRst yt Y$R R{$Bt R$8Zjs$Bt RZjR BAs$tI PB Y I$&t  %sjZR w d( d(( stI x(( D s Y w d , D ue7 b$jj A {B8}sI b$Y Y YB${sj PB8Zjs stI b$Y Y RZjR BAs$tI ZR$t w dL  D ue7 !t ,}R Q stI ] {BtRst w Q )( 3 (d stI ] )d(( D  qY R$8Zjs$Bt jtY $R t )d(( , ((( PB Y w d , d( D ue7 stI xE Vy !k8s t <p k m <_ 7{YbPj t )x( , ((( PB Y BYR R%$t sII$$Btsj 1 , ((( ts$BtR APB {Bjj{$t Iss !t IBR tB Ys% stk YB${sj RZjR PB Y }jZR Rsk R$t{ $ $R tB }BRR$Aj B %sjZs Y R}{$% $tsjR stsjk${sjjk qY j$8$ %sjZ PB Y }BRR s s Y }ssABj${ $I R PZt{$Bt $R j$8      d , )  1 d , 3 w nn D qYPB $t BI B A sAj B {B8}s Y RZjR PB I$&t   Y tB8sj$9I }BRR sR s I$%$II Ak  1 d ,  qYPB Y YB$9Btsj sRk8}B A{B8R R$8}jk d qY$R YB$9Btsj j$t $R sjRB $tI${sI $t Y hZ PB Y }jZR Rsk qY  stI  s tB8sj$9I s{{BI$t B w dM D stI w 1x D  R}{$%jk _7Ps }js{8tR    R$8s >tB8sj$9IH   dL  b  1 d ,   d , b  1 d , w dL  D ue7 w d , D ue7 _7Ps }js{8tR    R$8s >tB8sj$9IH   dL  b  1 d ,   d , b  1 d , w dL  D ue7 w d , D ue7 3$Z dMU qY tB8sj$9I }BRR sR I$%$II Ak  1 d ,  s }jBI %RZR Y tB8sj$9I 8Zs$Bt RtY qY %sjZR ZRI PB  s @ (  d(( stI x(( w Q )( 3 (d  ] )d((  w d L , D ue7 D  qY R$8Zjs$Bt RZjR PB Y {B88s Rsk s RYBbt $t Y hZ jP stI PB Y }jZR Rsk Bt Y hZ $Y R}{$%jk qY {Z%R BAs$tI ZR$t Y YB${sj  d , PB8Zjs w eJ w 1M D D s sjRB $tI${sI PB Y w d , D ue7 {sR Y R$8Zjs$Bt RZjR I%$s PB8 YR %sjZR PB  )d(( stI  ) x(( qY   d , %sjZR -{I Y  1 d , %sjZ PB js %sjZR BP  qY }s, %sjZ BP Y }BRR s PB Y }jZR Rsk w |   dL  b  1 d , D $t{sRR sR  $R $t{sRI yt 3$Z dM Y }BRR s %sjZR PB ABY Rj{$Bt 8YBIR s $%t t- B s{Y BY G Ys% {YBRt Q )( 3 (d stI ] ) d(( stI PB  Y %sjZR d( d(( stI x(( qY R$8Zjs$Bt RZjR PB Y {B88s Rsk s $t Y hZ jP 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{stZjs {B$IB YsR {stZjs IR s Y ABZtIs$R IR{$AI Ak Y ]  d R${$BtR qY {kj$tI${sj {B$IB YBb% YsR s R$tj R${$Bt AsRI Bt Y I$Rst{ B Y {B$IB s-$R $ $R ABZtIsk YsR s {kj$tI${sj RYs} yt Y$R R{$Bt $ b$jj A RYBbt YBb bjj Y {kj$tI${sj {B$IB 8sk {BR}BtI B Y j$8$ {sR BP Y $I PZt{$BtR b$Y w d , D ue7 qY %sjZR  )d( K 1 ) ;x( stI ] ) d(( s ZRI $t Y$R {B8}sT $RBt qY R$8Zjs$Bt jtY $R t )1(( , ((( ts$BtR b$Y sII$$Btsj 1 , ((( ts$BtR APB Rs$t B {Bjj{ Rs$R${R ddd ytB$t $tPsR$Aj IR{tIstR qY hR }BRR$A$j$k B YstIj {BtRs$tR $R B $tB $tPsR$Aj IR{tIstR stI B ts Btjk  IR{tIstR } ts$Bt qY$R {sR b$jj A {BtR$II $t Y$R EM Vy !k8st <p k m <_ 7{YbPj RZAR{$Bt qY {kj$tI${sj {B$IB $R IhtI Ak w  D  stI Y R${$Bt s}}j$I B $ Ak w d( D  qY RZjR s tB8sj$9I R$8$js B w n D stI w ;( D PB Y {stZjs {B$IB sR PBjjBbRU   ) ]  d K 1  w ;d D   ) ]  d K 1  w ;1 D FZR sR $t Y {stZjs {B$IB 8BIj {sR Bt Rj{R Y }st sR Y }st $tI$%$IZsj BP Y t- ts$Bt $P sjj  B&R}$t b AkBtI R${$Bt ABZtIT s$R qY$R }BIZ{R s }BRR }${Z R$8$js B Y }jZR Rsk _7Ps }js{8tR    R$8s >tB8sj$9IH }BRR s >tB8sj$9IH  )x  )M  )E; w d , d( D ue7  )E; w dLd( D ue7  )E; _7Ps }js{8tR    R$8s >tB8sj$9IH    }BRR s >tB8sj$9IH  )x  )M  )E; w d , d( D ue7  )E; w dLd( D ue7  )E; 3$Z 1MU WB8sj$9I }BRR s %RZR tB8sj$9I 8Zs$Bt RtY qY R$8Zjs$Bt RZjR PB Y {kj$tI${sj {B$IB 8BIj s {B8}sI B Y $I PZt{$Bt:R b$Y  ;\ N , M , E; E  qY hZ Bt Y jP RYBbR Y {B8}s$RBt BP Y {kj$tI${sj {B$IB b$Y Y 88AR BP Y $I Ps8$jk PB Y {B88s Rj{$Bt Rsk w Q )( 3 (d  ] )d(( D  !t Y hZ $Y $ $R {B8}sI b$Y Y }BRR s hZR BP w d L , d( D ue7 s Y $I PZt{$Bt b$Y  )E;  qY hZ jP RYBbR Ys Y {kj$tI${sj {B$IB IBR tB {BR}BtI B Y tIt{k BP Y   7Q/ b$Y js   qY hZ $Y RYBbR Ys $ $R R$8$js B Y {Z% BP Y }jZR Rsk YBb% Y |   stI |   %sjZR IB tB R8 B 4{ Y %sjZR BAs$tI PB Y $I PZt{$BtR G {B8}sI Y tB8sj$9I }BRR s BAs$tI s Y {kj$tI${sj {B$IB b$Y Y $I Ps8$jk PB js %sjZR BP  stI PB ABY Rj{$Bt Rs$R qY RZjR s I$R}jskI $t 3$Z 1M !t Y hZ jP Bt {st R w sP {B8}s$t Y {Z%R PB I$&t  D Ys Y {kj$tI${sj {B$IB 8BIj IBR tB 4{ Y tIt{k BP Y $I PZt{$BtR qY 8st$ZIR BP |   s tB {B8}ssAj stI Y RYs} BP Y {Z% PB   7Q/ I$&R 8B PB8 Y {kj$tI${sj {B$IB 8BIj sR  $R $t{sRI !t Y hZ $Y Bt RR Ys Y {kj$tI${sj {B$IB 8BIj YsR s }BRR AYs%$B bY${Y $R 8B R$8$js B Y w dLd( D ue7 Yst B Y w d , d( D ue7 PB  )E; YBb% Y |   $R R8sjj PB Y {kj$tI${sj {B$IB 7$t{ Bt ,tBbR Ys |   $t{sRR PB Y $I PZt{$BtR sR  $R $t{sRI w PB   n D  Y {kj$tI${sj {B$IB {sttB A sII sR Y j$8$ {sR sjRB PB Y }jZR Rj{$Bt Rsk qY p M  ,  h X @ L , stI X w  D hZR s sjRB {B8}sI PB ABY PZt{$Bt Ps8$T j$R qY p M  , hZR s 8Z{Y 8B I$&t PB8 s{Y BY R$t{ Y Ikts8${R ]Bt% t{ Ys%$B BP Y w d L , D e%BjZ$Bt 7sk E B%t$t Y I$Rst{ B Y }BRR s-$R s I$&t $t ABY PZt{$Bt Ps8$j$R qY $I Ps8$jk YsR Y  %sjZ -}j${$jk $t Y BA`{$% PZt{$Bt bYsR Y {kj$tI${sj {B$IB 8BIj YsR B BAk Y R${$Bt   K 1  qY RZ{{RR }BAT sA$j$k hZ w stI YAk Y X w  D hZ D BP {kj$tI${sj {B$IB $R %k R$8$js B Y Bt BP Y w dLd( D ue7 s Y $I PZt{$Bt b$Y  ) E; sjYBZY {B88s Rj{$Bt Rsk $R ZRI s Y {kj$tI${sj {B$IB qB RZ88s$9 Y RZjR $t Y$R R{$Bt stI $t 7{$Bt d( Bt {st Rsk Ys Y {B$IB 8BIjR s tB Y j$8$ {sRR BP Y $I PZt{$BtR dd1 ]BtR$I$t PsR$Aj B&R}$t } ts$Bt qY sjB$Y8 $t%R$sI $t 7{$Bt ddd bB,R ZRZsjjk b$Y jRR Yst  $tI$%$IZT sjR } ts$Bt R$t{  PsR$Aj $tI$%$IZsjR b tB ZsstI } ts$Bt qY sjB$Y8 {BtR$II tBb b$jj A Z}sII RZ{Y Ys Bt {Bt$tZR tT s$t $tI$%$IZsjR Zt$j sjjk  PsR$Aj IR{tIstR Ys% At }BIZ{I >7{Yx V}}tI$- nH qYPB Y Rs$R${R {Bjj{I PB Y }BRR s RYBZjI A $t}I sR PBjjBbRU 7$t{ Y }BRR $R 8sRZI $t ? 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Vy !k8st <p k m <_ 7{YbPj BP Y *3p ZtI st dxM \ ;Td iPt{R > kn H <Tp k  qBbsI s qYBk BP e% BjZ$Bt 7s$RU 7B8 VRk8}B${sj iRZjR PB8 Y w d L , D uqYBk e%BjZ$Btsk ]B8}Zs$Bt d w 1 D UdExudMM dn > k; H <Tp k qBbsIR s qYBk BP e%BjZ$Bt 7s$R: _BRR isR stI +Zsj$k ps$t PB w d L , D u7s$R Bt w Wsjk D VA$sk 3$tRR 3Zt{$BtR yt O *s%$IB <T_ 7{YbPj stI i [stt I$BR _ssjjj _BAj8 7Bj%$t PB8 WsZ v __7W yyy ytts$Btsj ]BtPt{ Bt e%BjZ$Btsk ]B8}ZsT $Bt  %BjZ8 MEE BP N{Z WBR $t ]B8}Z 7{$t{  }sR xMuE 7}$t d; > kE H <Tp k Z VtsjkR I e%BjZ$BtRRs$t  <sA$j$s$BtRR{Y$P =t$T %R$k BP *B8ZtI *}s8t BP ]B8}Z 7{$t{ dE yt p8st > 7n H q [s{, stI <T_ 7{YbPj Vt !%%$b BP e%BjZ$Btsk VjB$Y8R PB _ss8 !}$8$9s$Bt e%BjZ$Btsk ]B8}Zs$Bt d w d D Udu1n dn > 3Bx H *  3Bj e%BjZ$Btsk ]B8}Zs$BtU qBbsI s Wb _Y$jBRB}Yk BP s{Y$t ytjj$t{  yeee _RR _$R{ssbsk WF dx > 3!GEE H N F 3Bj V F !btR stI  F GsjRY V$h{$sj ytjj$t{ YBZY 7$8ZjsI e%BjZ$Bt  G$jk Wb OB, dEE > pBjM H * e pBjIA pt${ VjB$Y8R $t 7s{Y !}$8$9s$Bt m s{Y$t NstT $t  VII$RBtTGRjk isI$t dM > <Bjx H F < <BjjstI VIs}s$Bt $t WsZsj stI V$h{$sj 7kR8R  =t$% BP ${Y$st WW dx > ! 7 H V y !k8st <Tp k stI <T_ 7{YbPj VtsjkR$R BP s 7$8}j e7 Bt Y X_ssABj${ i$I" q{Yt${sj i}B 7k7u1 \  =t$%R$k BP *B8ZtI *}s8t BP ]B8}Z 7{$t{ 7kR8R VtsjkR$R iRs{Y pBZ} VZZR d X } U]]lRggTddd!|R!Yv%TIC9YvI!I]1C m 9uv]sk! } R!  :  > ! 7M H V y !k8st <Tp k stI <T_ 7{YbPj GY ej$$RR 7s N$8}$tU e%BjZ$Bt 7s$R s i$I 3Zt{$BtR yt V e e$At qY [s{,  7{YBT tsZ stI <T_ 7{YbPj I$BR _ssjjj _BAj8 7Bj%$t PB8 WsZ u __7W z ytts$Btsj ]BtPt{ Bt e%BjZ$Btsk ]B8}Zs$Bt  %BjZ8 d;M BP N{Z WBR $t ]B8}Z 7{$t{  }sR n;u;n 7}$t j$t 7}8T A 1Tn( dM X } U]]lRggTddd!|R!Yv%TIC9YvI!I] 1C m 9uv]sk] } } Rvx! } R!  :  > i{n H y i{YtA e%BjZ$BtRRs$U !}$8$Zt {Yt$R{Y 7kR8 ts{Y _$t9$}$t I A$BjB$R{Yt e%BjZ$Bt  zjs 3B88sttT<Bj9ABB 7ZsT sI ]sttRs dn y7 WU nT1MT(nnTn $t p8st > i{; H y i{YtA e%BjZ$BtRRs$:;  stI d G,Rs $Bt$, ZtI e%BjZT $BtR{Yt$, 3B88sttu<Bj9ABB 7Zs d; y7 WU nT1MTdE;1TM $t p8st > iZIE H p iZIBj}Y ]Bt%t{ _B}$R BP e%BjZ$Btsk VjB$Y8R  *$RRs$Bt =t$%R$k BP *B8ZtI *}s8t BP ]B8}Z 7{$t{ WB%8A dE ]Bt%t{ Ys%$B BP Y w d L , D e%BjZ$Bt 7sk x > 7sjE H i 7sjB8Bt iT%sjZs$t t${ sjB$Y8 }PB8st{ ZtI {BBI$ts Bs$Bt BP At{Y8s, PZt{$BtR V RZ%k BP RB8 YB${sj stI }s{${sj sR}{R BP t${ sjB$Y8R $B7kR8R n w n D U1Enu1M dE > 7{Yx H <T_ 7{YbPj e%BjZ$Bt stI !}$8Z8 7,$t  7$-Yupts$Bt ]B8}Z q{YtBjBk 7$R G$jk Wb OB, dx y7 WU (T;dTxd;MT1 > 78$ H G y 78$tBb NYst I Y[BYt sY8s$, q$j 1  ze *ZR{Y zjs I G$RRtR{YsPt j$t d