Averaging Premises

sYbs m 7BP ]B8}Z$t M w 1((d D MnTd V%s$t _8$RR e q$jjsR @ e]sR$Kt$s  stI 7 ]ZA$jjB  @ *}B ytj$t{$s V${$sj =t$%R$IsI _Bj$?{t${s I sI$I  *}B s8?s${s V}j${sIs 3s{ZjsI I ytPB8?s${s =t$%R$IsI _Bj$?{t${s I sI$I 1MEE( BsI$jjs Ij Bt sI$I 7}s$t T8s$jU R{ZA$jjBohZ}8R VARs{ qY$R }s} IsjR b$Y Y RR BP R${ {Bt`{ZR stI {BtRJZt{R BP s $%t {Bjj{$Bt h BP }8$RR qY R BP V%s$t 3Zt{$BtR $R $tBT IZ{I Bt js${R stI RB8 }B}$R BP YR PZt{$BtR s RYBbt V%T s$t 3Zt{$BtR sjjBb B $t} XR${I {BtRJZt{R" sR s%sR BP }8$RR qY RZAR BP {BtRJZt{R g  / w h D stI Y RZAR BP {Bt`{ZR   / w h D IhtI Ak 8stR BP Y s%s$t PZt{$Bt / s $tBIZ{I stI Y$ }B}$R s RZI$I qY$R RR sjjBb B $% I{B8}BR$$Bt YB8R PB Y R${I {BtRJZt{R stI PB Y R${ {Bt`{ZR k bBIRU {BtRJZt{R {Bt`{ZR s%s$t PZt{$BtR d ytBIZ{$Bt N$A U s {B8}j BYB{B8}j8tI js${ w R >dH stI >;H D b$Y $R Y B}s$BtR BP $tR{$Bt Zt$Bt stI {B8}j8ts$Bt }RtI R}{$%jk Ak N , L stI : Y jsR j8t }RtI Ak ( stI Y sR j8t Ak d ;  w U D IR$tsR Y RZAR BP ; w U D bYBR j8tR h %$Pk ytP w h D W ) ( 3B8 tBb Bt stI $P Y $R tB {BtPZR$Bt b b$jj b$ ? + ) ? @ N ?  NNN ? > stI ? ` ) ? @ L ?  L NNN L ? > stI ItB ;  W w U D Y R BP YBR h ; ;  w U D Ys s ht$ RZARR BP U  Ys $R h ; ;  W w U D $P stI Btjk $P h ) \  @ ,333, > i b$Y  + ) ytP h W ) ( N:R b$ \  @ ,333, > i ) h >  p$%t s {B8}j BYB{B8}j8tI js${ U stI s {Bjj{$Bt BP }8$RR h ; ;  w U D  $t >;H bY $tBIZ{I Y RRU T  + w h D ) \ ? ; U   + W ? I i  BP R${ {Bt`{ZR BP h  iRs{Y PZtII Ak Y ]y]Oq w 7}s$t D ZtI }B`{R t L qy]ETdnnT](E stI t L qy]MT (ET](1T(1 Mn M; e q$jjsR e ]sR$Kt$s m 7 ]ZA$jjB T g + w h D ) \ ? ; U   +  ? i  BP {BtRJZt{R BP h  stI $ bsR }B%t Ys PB stk ht$ R h > $t ;  W w U D $ $RU  + w h > D ) < / ; t > M U ,  / w h > D , stI g + w h > D )  / ; t > M U , g / w h > D , bY t > w U D ) \ / U U >  U  + / i  / w h > D ) \ ? ; U  / w  @ ,333, > D W ? I i  g / w h > D ) \ ? ; U  / w  @ ,333, > D  ? i  b$Y + Y PZt{$Bt + w ? @ ,333,? > D ) ? @ N ?  NNN ? >  y bsR sjRB }B%t Ys g + w h > D ) \ / w  @ ,333, > D  / ; t > w U D i stI {BtRJZtjk bYt Y R BP }8$RR $R ht$ s {B8}j {Yss{$9s$Bt BP {BtT RJZt{R Ak 8stR BP PZt{$BtR AjBt$t B t > w U D bsR BAs$tI 3B -s8}j j U A Y Y-sBtsj BYB{B8}j8tI js${ RYBbt $t Y PBjjBb$t hZ yP h ) \ K i  PB s{Y / ; t @ $ $R g / w h D ) \ ? ; U  / w K D  ? i ) \ d ,K i R$t{ / w K D   + ) K  / / / \\\ \\\ / / / T TT T T T ( d y K K I y I <t{ g + w h D )  / ; t A g / w h D ) \ d ,K i  G$Y sI B {Bt`{ZR BP h sR / w K D  K  Y PBjjBb$t {sRR s }BRR$AjU T $P / w K D ) K $ $R  / w h D ) \ d ,y,y I ,K i  T $P / w K D ) d $ $R  / w h D ) U   Yt{  + w h D ) ) / ; t A  / w h D ) \ d ,y,y I ,K i  1 V%s$t PZt{$BtR $t js${R yt bYs PBjjBbR b b$jj {BtR$I Y RZAR \ > w U D ) \ / U U >  U  + / `i BP t > w U D  bY ` ItBR Y PZt{$Bt ` w ? @ ,333,? > D ) ? @ L NNN L ? >  qY j8tR BP \ > w U D s ,TI$8tR$Btsj V%s$t 3Zt{$BtR BP U B PB RYB V%s$t 3Zt{T $BtR qY RR \ > w U D stI t > w U D {st A IhtI Bt stk tB BYB{B8}j8tI js${ 3B -s8}j $P U )>( , dH b$Y N ) $t stI L ) s- Y j8tR BP \ > w >( , dH D s Y bjj ,tBbt ,TI$8tR$Btsj 8stR w R >1H stI >nH D 3B stk / ; \ > w U D stI PB s{Y ? ; U $ $R / w ?,333,? D ) ?  $t }s${Zjs $R / w ( ,333, ( D )(stI / w d ,333, d D ) d !P {BZR $ $R \ @ ) \ 7Q U i sR $P / ; \ @ V%s$t _8$RR Mx $ $R ?  / w ? D  ?  WB Ys PZt{$BtR / ; \ > w U D {st tB A I{sR$t w Ys $R $P ? 7  r 7  PB sjj 7 ;\ d ,333,> i Yt / w ? @ ,333,? > D  / w r @ ,333,r > D D R$t{ / w ( ,333, ( D ) ( stI / w d ,333, d D )d 3Zt{$BtR / U U >  U RZ{Y Ys / w ? @ ,333,? > D ) . i ; O  7 ; { E ? 7 B / w ? @ ,333,? > D )  i ; O . 7 ; { E ? 7 b$Y { i 2\ d , 1 ,333,> i stI O 2 L ht$ AjBt B \ > w U D stI s tBtT I{sR$t Ys $R $P ? 7  r 7 w d  7  > D Yt / w ? d ,333,? > D  / w r d ,333,r > D  3Zt{$BtR / U U >  U b$Y 8R $t bY${Y Y $R Y {B8}j8t ? I i BP RB8 %s$sAj ? i  $Y {st AjBt B tB B \ > w U D  PB -s8}j $P > ) n / w ? d ,? 1 ,? n D ) ? I d N ? 1 L ? n AjBtR B \ n w U D  AZ / w ? d ,? 1 ,? n D ) ? I d L ? 1 N ? I n stI / w ? d ,? 1 ,? n D ) ? I d N ? 1 L ? I n IB tB AjBt B \ n w U D sR $t ABY {sRR $ $R / w ( , ( , ( D ) d 3ZY8B YR PZt{$BtR {st A B tB tBtTI{sR$t PB -s8}j $P U $R Y Y-sBtsj BYB{B8}j8tI js${ 8t$BtI sAB% Y PZt{$Bt $%t Ak / d w ? d ,? 1 D ) ? d L ? I d N ? 1 AjBtR B \ 1 w U D stI $R tBtTI{sR$t sR $ {st A {Y{,I bY$j Y PZt{$Bt IhtI sR / 1 w ? d ,? 1 D ) ? d N ? I 1 L ? d N ? 1 AjBtR B \ 1 w U D stI $R tB tBtTI{sR$t R$t{ / w K, ( D ) K stI / w K,y D ) y  W%YjRR ABY PZt{$BtR s tBtTI{sR$t $P U $R stk BBjst VjAs $t Ps{ Y hR Bt $R / d w ? d ,? 1 D ) ? d L ? I d N ? 1 ) ? d L ? d N ? 1 L ? I d N ? 1 ) ? d L w ? d L ? I d D N ? 1 ) ? d L ? 1  stI Y R{BtI Bt $R / 1 w ? d ,? 1 D ) ? d N ? I 1 L ? d N ? 1 ) ? d w ? I 1 L ? 1 D ) ? d  WB Ys / d w ? d ,? 1 D W ) ? d L ? 1 $t Y Y-sBtsj js${ w PB -s8}j / d w y,K D ) ycK ) y L K D  3B s{Y PZt{$Bt / U U >  U $R IZsj /  U U >  U $R IhtI Ak /  w ? d ,333,? > D ) / w ? I d ,333,? I > D I  stI $ $R $88I$s Ys X / ; \ > w U D $P stI Btjk $P /  ; \ > w U D " yP b ItB sR $ $R ZRZsj Ak $ 7 Y > PZt{$BtR w }B`{$BtR D $%t Ak $ 7 w ? d ,333,? > D ) ? 7 sR ? d NNN ? >  ? 7  ? d L NNN L ? > $$R $ 7 ; \ > w U D PB stk d  7  >  stI $ $R sjRB BA%$BZR Ys $ 7 ) $  7  yP X ;? w > D $R s }8Zs$Bt BP \ d , 1 ,333,> i  B s{Y / U U >  U b {st sRRBT {$s Y PZt{$Bt / X U U  U $%t Ak / X w ? d ,333,? > D ) / w ? X w d D ,333,? X w > D D 3B -s8}j $ $R $ X 7 ) $ X w 7 D  PB stk X ;? w > D  V PZt{$Bt / U U >  U $R Rk88T ${sj $P PB stk X ;? w > D $ $R / ) / X  !A%$BZRjk + X ) + stI ` X ) ` PB stk X ;? w > D  PZY8B PZt{$BtR BP \ > w U D IhtI sR / w ? d ,333,? > D ) >  7,i )d 7 9 , i ? 7 N ? i stI / w ? d ,333,? > D ) >  7,i,_ )d 7 9 , i,7 9 , _,i 9 , _ ? 7 N ? i N ? _ s Rk88${sj BB 3Zt{$BtR b$Y 8R $t bY${Y Y $R Y {B8}j8t ? I i BP RB8 %s$sAj ? i {st A sjRB Rk88${sj PB -s8}j / ; \ n w U D $%t Ak / w ? d ,? 1 ,? n D ) ? d N ? 1 N ? n L ? d N ? I 1 N ? I n L ? I d N ? 1 N ? I n L ? I d N ? I 1 N ? n  3B stk h ; Y ( w U D $ bsR sjRB {BtR$II $t >;H Y R BP R${I {BtRT JZt{R g w h D ) \ ? ; U   +  ?   ` i2 g + w h D  b$Y  ` ) 7Z} h  stI Y hR Bsj BP Y$R }s} $R B RZIk Y js$BtRY$} BP R${I {BtRJZt{R stI R${ ME e q$jjsR e ]sR$Kt$s m 7 ]ZA$jjB {Bt`{ZR b$Y R}{$%jk Y RR g / w h > D stI  / w h > D bYt / AjBtR B Y APB 8t$BtI RZAR \ > w U D BP t > w U D  n iR${I {BtRJZt{R s s%sR BP }8$RR 3B s{Y h > ; ;  w U D j:R {BtR$I \ > w U D stI g \ > w h > D ) \ / w  @ ,333, > D  / ; \ > w U D i VR \ > w U D 2 t > w U D $ $R g \ > w h > D 2 g t > w h > D ) \ / w  @ ,333, > D  / ; t > w U D i ) g + w h > D w R >;H D U sjj Y j8tR BP g \ > w h > D s {BtRJZt{R BP h >  VR  +  / w  @ ,333, > D   ` $$R g \ > w h > D 2 g w h > D U sjj Y j8tR BP g \ > w h > D s R${I {BtRJZt{R BP h > w R >;H D  B ss$t qYB8 nd 3B stk h > ; ;  w U D $ $R g \ > w h > D ) g w h > D _BBP 3B s{Y R ; g w h > D j:R {BtR$I Y PZt{$Bt / R U U >  U IhtI Ak / R w ? @ ,333,? > D ) . R $P ? @ )  @ ,333,? > )  > ? + BYb$R 3 VR$$RBA%$BZRYs / R ; \ > w U D stI Ys / R w  @ ,333, > D ) R  $ PBjjBbR R ; g \ > w h > D  qYt g w h > D 2 g \ > w h > D ]BtRJZtjk Y R${I {BtRJZt{R BP _ , s -s{jk YBR {BtRJZt{R BP _ , Ys s s%sR BP Y , }8$RR  e-s8}jR N o ) \ d , 1 333, x , E i stI j U ) ; w o D A Y {BR}BtI$t BBjst VjAs b$Y 1 E j8tR d yP h ) \  d , 1 , n i b$Y  d ) \ 1 , ; , E i   1 ) \ d , 1 , n i stI  n ) \ 1 , x i $$R  + ) \ 1 i W ) !  Y PZt{$Bt / ; \ n IhtI Ak / w ? d ,? 1 ,? n D ) ? I d N ? 1 L ? n sjjBbR B BAs$t Y j8t ? ) \ d , 1 , n , x i sR s {BtRJZt{ BP h  1 yP h ) \  d , 1 i b$Y  d ) \ d , 1 , n , ; i stI  1 ) \ ; , x , E i $$R  d N  1 ) \ ; i stI ? ) \ n , ; , x i; g \ ! w h D $R BAs$tI PB8 PZt{$Bt / w ? d ,? 1 D ) . ? d N ? 1 $P w ? d ,? 1 D W ) w  d , 1 D , ? $P w ? d ,? 1 D ) w  d , 1 D 3 bY${Y AjBtR B \ 1 R$t{ ? d N ? 1  / w ? d ,? 1 D  ? d L ? 1  <Bb% Y $R tB stk PZt{$Bt / w ? d ,? 1 D ) y N ? d N ? 1 L K N ? I d N ? 1 L  N ? d N ? I 1 L Q N ? I d N ? I 1 b$Y y,K,,Q ;\ ( , d i w Ys $R s ABBjst PZt{$Bt D RZ{Y Ys / w  d , 1 D ) ?  <t{ $P PZt{$BtR {BtR$IT I s `ZR ABBjst PZt{$BtR $t tsj R${I {BtRJZt{R IB tB AjBt B g \ ! w h D  V%s$t _8$RR M qYB8 n1 w s D 3B stk h > ; ; ( w U D  h > 2 g \ > w h > D  w A D yP h z  < E ; ; ( w U D stI h z 2 < E  Yt g \ z w h z D 2 g \ E w < E D  w { D 3B stk h > ; h ( w U D $ $R ytP g \ > w h > D )  + W )( w I D 3B s{Y h > ; ; ( w U D RZ{Y Ys g \ > w h > D $R ht$ b$Y 8 j8tR $ $R g \ > w h > D V g \ E w g \ > w h > D D  _BBP WBb$YRstI$t Y }BBPR {st I${jk PBjjBb PB8 YB8 nd stI Y RZjR BAs$tI $t >;H $ $R $jjZRs$% B RYBb I$&t BtR Ak ZR$t s%s$t PZt{$BtR w s D VR PB s{Y  7 ; h > $ $R $ 7 w  d ,333, > D )  7  $ PBjjBbR  7 ; g \ > w h > D  w A D VR z  E  j:R RZ}}BR E ) z L   3B s{Y / w  d ,333, z D ; g \ z w h z D $ $RU  d NNN  z N  z Ld NNN  z L    d NNN  z  / w  d ,333, z D   d L NNN L  z   d L NNN L  z L  z Ld L NNN L  z L   qY PZt{$Bt W / U U z L   U $%t Ak W / w ? d ,333,? z L  D ) / w ? d ,333,? z D L( N ? z Ld L NNN L( N ? z L  BA%$BZRjk %$hR ? d NNN ? z L   ? d NNN ? z  / w ? d ,333,? z D ) W / w ? d ,333,? z L  D  ? d L NNN L ? z  ? d L NNN L ? z L   stI Yt W / ; \ z L  ) \ E  ]BtRJZtjk / w  d ,333, z D ) W / w  d ,333, E D ; g \ E w < E D  w { D ytP g \ > w h > D ) ytP \ / w  d ,333, > D  / ; \ > w U D i ) ytP \ / w  d ,333, > D   +  / w  d ,333, > D   ` i )  +  ]BtRJZtjk g \ > w h > D ; ; ( w U D  w I D VR g \ > w h > D $R ht$ j $ A g \ > w h > D ) \ / d w  d ,333, > D ,333/ E w  d ,333, > D i stI / 7 ; \ > w U D w d  7  > D b$Y E  >  qYt stk R ; g \ E w g \ > w h > D D {st A b$t sR R ) t w / d w  d ,333, > D ,333,/ E w  d ,333, > D D b$Y t ; \ E  WBb PB s{Y t ; \ E  j:R {BtR$I Y PZt{$Bt W t U U >  U IhtI AkU W t w ? d ,333,? > D ) t w / d w ? d ,333,? > D ,333,/ E w ? d ,333,? > D D 3 y $R W t ; \ > w U D  $t Ps{ PB stk 7 ;\ d ,333,E i stI PB s{Y w ? d ,333,? > D ; U > $ $R ? d NNN ? >  E  7 )d / 7 w ? d ,333,? > D stI E  7 )d / 7 w ? d ,333,? > D  ? d L NNN L ? > , stI A{sZR BP r d NNN r E  t w r d ,333,r E D  r d L NNN L r E PB s{Y w r d ,333,r E D ; U E  $ RZ^{R B s, r 7 ) / 7 w ? d ,333,? > D PB s{Y d  7  E B Ys% ? d NNN ? >  t w / d w ? d ,333,? > D ,333,/ E w ? d ,333,? > D D  ? d L NNN L ? > ,  w ? d ,333,? > D ; U > 3 qYs $R ? d NNN ? >  W t w ? d ,333,? > D  ? d L NNN L ? > B W t ; \ > w U D  stI Yt t w / d w  d ,333, > D ,333,/ E w  d ,333, > D D ) W t w  d ,333, > D ; g \ > w h > D 3 3$tsjjk g \ E w g \ > w h > D D 2 g \ > w h > D  ]BtRJZtjk $P PB s{Y h > ; ; ( w U D b Iht g \ w h > D ) g \ > w h > D  Yt MM e q$jjsR e ]sR$Kt$s m 7 ]ZA$jjB ]BBjjsk nn yP U $R ht$ PZt{$Bt g \ U ; ( w U D  ; ( w U D  IhtI sR g \ w h > D ) g \ > w h > D $R s qsR,$:R ]BtRJZt{R !}sB qYB8 n; yP h 2 U  $Y ht$ B tB AjBtR ; ( w U D  PB s{Y ht$ h > 2 h $ $R g \ w h > D 2 g w h D  _BBP  !A%$BZR A{sZR BP g \ w h > D ) g \ > w h > D ) g w h > D 2 g w h D  ]BtT RJZtjk Ak 8stR BP Y B}sB g \ IhtI Bt ; ( w U D RB8 R${I {BtT RJZt{R BP stk h ; ; ( w U D {st A BAs$tI yt }s${Zjs PB stk tBtT8}k B 2 \ > w U D $ $R \ / w  d 333, > D  / ; B i2 g w h D  ; ]BtRJZt{R stI s%sR BP }8$RR N:R {BtR$I Y R g  / w h > D ) \ ? ; U  / w  d ,333, > D  ? i PB s{Y / ; \ > w U D  !P {BZR sR \ > w U D 2 t > w U D $ $R g / w h > D ) g  / w h > D $P / ; \ > w U D stI Yt $ $R g  / w h > D 2 g + w h > D  qYs $R stk ? ; g  / w h > D $R s {BtRJZt{ BP h >  Vs$t  + ) ytP g + w h > D  ytP g  / w h > D ) / w  d ,333, > D $8}j$R ytP g  / w h > D W ) ( stI g  / w h > D ; ; ( w U D  !A%$BZRjk $P / d  / 1 w }B$tb$R D PB ABY / d ,/ 1 ; \ > w U D $ $R g  / ! w h > D 2 g  / A w h > D  Yt sR $ $R + / ` PB stk / ; \ > w U D  $ PBjjBbR g ` w h > D 2 g  / w h > D 2 g + w h > D  qYB8 ;d 3B stk h > ; ; ( w U D  g + w h > D )  / ; \ > w U D g  / w h > D  _BBP VR g  / w h > D 2 g + w h > D $ PBjjBbR  / ; \ > w U D g  / w h > D 2 g + w h > D VR +; \ > w U D $ sjRB PBjjBbR g + w h > D ) g  + w h > D 2  / ; \ > w U D g  / w h > D  ]BBjjsk ;1 ? ; g + w h > D $P stI Btjk $P $ -$RR RB8 / ; \ > w U D PB bY${Y $ $R / w  d ,333, > D  ?  qYB8 ;n 3B stk h > ; ; ( w U D $$R h > 2 g  / w h > D $P stI Btjk $P / w  d ,333, > D )  d NNN  >  _BBP !P {BZR $P / w  d ,333, > D )  d NNN  > $ $R / w  d ,333, > D   7 PB s{Y 7  stI Yt h > 2 g  / w h > D  N:R RZ}}BR h > 2 g  / w h > D  Ys $8}j$R / w  d ,333, > D   7 w d  7  > D stI {BtRJZtjk / w  d ,333, > D )  d NNN  >  qYt $P  d NNN  > c / w  d ,333, > D  h > $R tB $t{jZII $t g  / w h > D  qY YB8 YBjIR $P $t }s${Zjs $ $R / ) +  $t bY${Y {sR g  + w h > D ) \ ? ; U   +  ? i  qYB8 ;; yP h > ,< > L  ; ; ( w U D stI h > 2 < > L   Yt g  / w h > D 2 g   / w < > L  D b$Y " / ; \ > L  IhtI sR " / w ? d ,333,? > L  D ) / w ? d ,333,? > D L( N ? > Ld L 333 L( N ? > L   _BBP 3B8 ? d NNN ? > L   ? d NNN ? >  / w ? d ,333,? > D  ? d L NNN L ? >  ? d L NNN L ? > L   $ PBjjBbR ? d NNN ? > L   " / w ? d ,333,? > L  D  ? d L 333 L ? > L   qYt $P ? ; g  / w h > D  PB8 / w  d ,333, > D  ? $ PBjjBbR " / w  d ,333, > L  D  ? B ? ; g   / w < > L  D  ]jsjk V%s$t _8$RR M Y YB8 {st A }B%t Ak 8stR BP stk " / ; \ > L  bYBR R${$Bt B U > {B$t{$IR b$Y /  ]BBjjsk ;x yP h > ; ; ( w U D  / ; \ > w U D $R RZ{Y Ys / w  d ,333, > D )  d NNN  >  stI g  / w h > D $R ht$ Yt g  / w h > D ) g   / w g  / w h > D D  b$Y " / sR $t YB8 ;; _BBP y $R h > 2 g  / w h > D stI $P g  / w h > D ) \  d ,333, > ,R d ,333,R  i $ PBjjBbR PB8 YB8 ;; Ys g  / w h > D 2 g   / w g  / w h > D D b$Y " / w ? d ,333,? > L  D ) / w ? d ,333,? > D L ( N ? > Ld L 333 L( N ? > L  stI " / ; \ > L   i{$}B{sjjk $P r ; g   / w g  / w h > D D B " / w  d ,333, > ,R d ,333,R  D  r $$R / w  d ,333, > D  r  stI r ; g  / w h > D  3B h > ) \  d ,333, > i stI < > ) \ R d ,333,R > i j:R Iht h >  < > bYt%  d  R d ,333, >  R > PB YR BI$tR BP Y j8tR BP h > stI < >  qYB8 ;E yP / ; \ > w U D $R tBtTI{sR$t h >  < > stI h > ; ; ( w U D  Yt < > ; ; ( w U D stI g  / w < > D 2 g  / w h > D  _BBP yP ? ; g  / w < > D PB8 / w R d ,333,R > D  ? $ PBjjBbR / w  d ,333, > D  ? sR  d  R d ,333, >  R >  qYt ? ; g  / w h > D  i8s, yP / d stI / 1 s $t \ > w U D  / d  / 1 w }B$tb$R D stI h > ; ; ( w U D  Y R g / A ,/ ! w h > D ) \ ? ; U  / d w  d ,333, > D  ?  / 1 w  d ,333, > D i %$hR g / A ,/ ! w h > D 2 g w h > D sR  d NNN  >  / d w  d ,333, > D  ?  / 1 w  d ,333, > D   d L 333 L  >  !A%$BZRjk g w h > D ) g +` w h > D $R Y }s${Zjs {sR $t bY${Y + ) / d  ` ) / 1  x 7${ ]Bt`{ZR stI s%sR BP }8$RR 3B s{Y h > ; ; ( w U D stI s{Y / ; \ > w U D $ $R IhtI   / w h > D ) \ ? ; U  / w  d ,333, > D W ? I i 3 yP / d ,/ 1 ; \ > w U D stI / d  / 1 w }B$tb$R D $ $R BA%$BZR Ys   / A w h > D 2   / ! w h > D  qYt sR $ $R + / ` PB stk / ; \ > w U D $ PBjjBbR  + w h > D 2   / w h > D 2  ` w h > D stI YtU  + w h > D ) < / ; \ > w U D   / w h > D stI  ` w h > D )  / ; \ > w U D   / w h > D 3 ]BtRJZtjk ? ;  + w h > D $P stI Btjk $P PB sjj / ; \ > w U D $ $R / w  d ,333, > D W ? I stI ? ;  ` w h > D $P stI Btjk $P $ -$RR RB8 / ; \ > w U D PB bY${Y $ $R / w  d ,333, > D W ? I  qYB8 xd 3B s{Y / ; \ > w U D $$R h > 2   / w h > D  _BBP yP PB RB8  7 ; h > $ $R / w  d ,333, > D   I 7 $ b$jj PBjjBb  d N 333 N  >   I 7 stI Yt{  + ) ( Ys $R sARZI ( e q$jjsR e ]sR$Kt$s m 7 ]ZA$jjB qYB8 x1 p$%t s Ps8$jk \ / >  > ; L ,>  1 i BP PZt{$BtR / > U U >  U RZ{Y Ys PB s{Y >  1 s{Y   d stI s{Y w ? d ,333,? > L  D ; U > L  %$Pk / > L  w ? d ,333,? > L  D  / > w ? d ,333,? > D , $ $R  / > L  w h > L  D 2  / > w h > D  PB stk h >  h > L  ; ; ( w U D RZ{Y Ys h > 2 h > L   _BBP yP ? ;  / > L  w h > L  D $ $R / > L  w  d ,333, > L  D W ? I stI / > w  d ,333, > D W ? I  qYt ? ;  / > w h > D  yt }s${Zjs bYt / > w ? d ,333,? > D ) . > 7 )d ? 7 $ RZjR  + w h > L  D 2  + w h > D  Vt -s8}j BP RZ{Y s Ps8$jk \ / > i $R $%t Ak / > w ? d ,333,? > D ) ? d N ? 1 NNN ? > L ? I d N ? 1 NNN ? > L ? d N ? I 1 NNN ? > L NNN L ? d NNN ? >  d N ? I >  qY$R $R s Ps8$jk BP PZt{$BtR Ys $P U $R s BBjst VjAs PBjjBbR Y jsb BP {Zt{U / 1 w ? d ,? 1 D ) ? d N ? 1 L ? I d N ? 1 L ? d N ? I 1 stI $P >k 1 / > w ? d ,333,? > D ) ? > N / >  d w ? d ,333,? >  d D L ? d NNN ? >  d N ? I >  qYB8 xn N $ A s Ps8$jk \ / > i BP PZt{$BtR / > U U >  U RZ{Y Ys PB s{Y >  1 s{Y   d stI s{Y w ? d ,333,? > L  D ; U > L   %$PkU / > w ? d ,333,? > D  / > L  w ? d ,333,? > L  D 3 y YBjIR  / > w h > D 2  / > L  w h > L  D , PB stk {BZ}j h >  h > L  ; h ( w U D RZ{Y Ys h > 2 h > L   _BBP N$, Ys BP YB8 x1 yP / > w ? d ,333,? > D ) ? d L NNN L ? > $ $R  ` w h > D 2  ` w h > L  D  qYB8 x; yP / ; \ > w U D $R tBtTI{sR$t h >  < > stI h > ; h ( ,W w U D  Yt < > ; h ( w U D stI   / w h > D 2   / w < > D  _BBP yP ? ;   / w h > D stI / w R d ,333,R > D  ? I sR / w  d ,333, > D  / w R d ,333,R > D $ b$jj PBjjBb / w  d ,333, > D  ? I  Ys $R sARZI qYt ? ;   / w < > D  e-s8}j N:R {BtR$I Y Y-sBtsj BYB{B8}j8tI js${ BP Y hR -s8}j G$Y h ) \ y,K i  Yt  + ) y yP / ; \ 1 $ $R y  / w y,K D  K  stI Y PBjjBb$t {sRR s }BRR$AjU T $P / w y,K D ) y $ $R g  / w h D ) \ d ,y,K i stI  / w h D ) \ d ,y,K i  T $P / w y,K D ) K $ $R g  / w h D ) \ d ,K i stI  / w h D ) \ d ,y,y I ,K i  Yt{ g + w h D )  / ; \ ! g  / w h D ) \ d ,y,K i  + w h D ) ) / ; \ !  / w h D ) \ d ,y,K i stI  ` w h D )  / ; \ !  / w h D ) \ d ,y,y I ,K i  V%s$ t _8$RR d ]Bt{jZR$BtR qY$R bB, {Bt$tZR Ys $t$$sI $t >;H bY RZ{Z YB8R PB ABY R${ {Bt`{ZR stI R${I {BtRJZt{R b $%t Ak ZR$t PZt{$BtR $t t > w U D ) \ / U U >  U  + / i  qY$R }s} $R R${I B PZt{$BtR $t \ > w U D ) \ / U U >  U  + / `i  Y R BP s%s$t PZt{$BtR y $R RYBbt Ys R${I {BtRJZt{R s `ZR s%sR BP Y }8$RR stI Ys Y B}sB sRR$t$t B s Ps8$jk BP }8$RR h > Y R BP Y$ s%sR g \ > w h > D  $R s qsR,$:R ]BtRJZt{R !}sB BB% RR BP {Bt`{ZR   / w h > D ) \ ? ; U  / w  @ ,333, > D W ? 1 i b$Y / ; \ > w U D s IhtI stI $t$$sjjk RZI$I iPt{R >dH p $,YB& dn Ns${ qYBk  V8${st sY8s${sj 7B{$k w _B%$T It{ D  >1H p skB stI e q$jjsR dME X!t Y }Rts$Bt BP RB8 Vs$Bt 3Zt{$BtR" _B{ BP Y zyY yeeeTytts$Btsj 7k8}BR$Z8 Bt Zj$}jT zsjZI NB${ dd(Tdd; >nH 7 !%{Y$tt$,B% dE XstR stI BII RR" sY8s${sj 7B{$sj 7{$t{R  n1  nTxE >;H e q$jjsR 7 ]ZA$jjB stI e ]sR$Kt$s 1((( X!t ]Bt`{ZR $t !YB{B8T }j8tI Ns${R" V$h{$sj ytjj$t{ dd  1xxT1x