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Multivariate analysis applied to Raman mapping of dye-functionalized carbon nanotubes: A novel approach to support the rational design of functional nanostructures

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29 July 2021

Original Citation:

Multivariate analysis applied to Raman mapping of dye-functionalized carbon nanotubes: A novel approach to

support the rational design of functional nanostructures

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DOI:10.1039/c5an00820d

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This full text was downloaded from iris - AperTO: https://iris.unito.it/

iris - AperTO

University of Turin’s Institutional Research Information System and Open Access Institutional Repository

Visentin, Sonja; Barbero, Nadia; Bertani, Francesca Romana; Guidi,

Mariangela Cestelli; Ermondi, Giuseppe; Viscardi, Guido; Mussi, Valentina.

Multivariate analysis applied to Raman mapping of dye-functionalized carbon

nanotubes: A novel approach to support the rational design of functional

nanostructures. ANALYST. 140 (16) pp: 5754-5763.

DOI: 10.1039/c5an00820d

The publisher's version is available at:

http://xlink.rsc.org/?DOI=C5AN00820D

When citing, please refer to the published version.

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mr l l v v ce cl d e o j v mr l v u d e mcj d g hcy g mcj d f b j e l q u b l  mj e j k f g b l mr l l v v l e mp j v ~ g b cj u p hg t l hp  mj p mu q o mr l r j k j w l d l cmo j v mr l v cd g h p g k f hl g d q mj f l b v j b k q j p cd w g d q mj x ce j hj w o p mu q cl p v j b t cj € ck g w cd w g d q q l hc~ l b o g f f hce g mcj d p { n e mu g hho  mr l v g e m mr g m g p f l e cv ce q o l Öq b u w hcd ® l q mj i Ä | p v j b t cj k l q ce g h j b ck g w cd w g f f hce g mcj d p w c~ l p g d j d × r j k j w l d l j u p p g k f hl q j l p d j m k g ® l cm g w j j q e g d q cq g m l  t l e g u p l  g p g e j d p l } u l d e l  mr l u hmck g ml q j p l j v mr l q o l Öq b u w cp d j m e j d m b j hhg t hl { Ô j b l j ~ l b  ~ l b o j v ml d cm cp d j m p u v v ce cl d mho mg ® l d cd mj g e e j u d m mr g m mr l d g d j k g ml b cg h g e mcd w g p g e g b bc l b p r j u hq t l e j d p cq l b l q g p g q b u w cmp l hv mj g hh l v v l e mp  g d q mr l b l v j b l r g p mj t l g e e u b g ml h o e r g b g e ml b cy l q cd j b q l b mj j t mg cd b l f b j q u e ct hl q j p l € l v v l e m q g mg g d q mb u p mz j b mr o mj x ce j hj w ce g h ml p mp  p u e r g p mr j p l Ø u p m t g p l q j d s g k g d k l g p u b l k l d mp f b j f j p l q cd Æ Õ Ç { Ù t ~ cj u p ho  mr l p ck f hl cd v j b k g mcj d j t mg cd g t hl z cm r p mg d q g b q ml e r d c} u l p p r j z p mr g m mr l k j hl e u hl cp l vv l e mc ~ l h o g t hl mj t cd q mj mr l d g d j p mb u e mu b l  t u m cm q j l p d j m ml hh u p g d o mr cd w g t j u m } u g d mc mg m c~ l g p f l e mp j v mr l cd ml b g e mcj d { ‰d mr cp e j d ml x m z l q l k j d p mb g m l mr g m a b cd e cf g h i j k f j d l d m n d g ho p cp à a i n Å g f f hcl q mj s g k g d k g f f cd w e j d p m cmu ml p g ~ l b o b j t u p m k l mr j q  g hhj z cd w g b g f cq g d q b l hcg t hl e hg p p cv ce g mcj d j v i Ä | €t g p l q p g k f hl p  z r ce r c p v u d q g k l d mg h mj ck f b j ~ l mr l q l p c w d j v mr l d g d j p mb u e mu b l g d q mj j f mck cy l mr l f b l f g b g m cj d f bj e l q u b l v j b mr l p f l e cv ce g f f hce g mc j d { n p ck chg b g f f b j g e r r g p t l l d g f f hcl q cd ÆÚ Ç mj q cp e b ck cd g ml mr l s g k g d p f l e mb g j v v u d e mc j d g hc y l q k u hmcz g hhl q e g b t j d d g d j mu t l p z cmr b l p f l e m mj f b cp mcd l j d l p  t u m f b l p l d ml q q g mg g b l f j j b ho e hu p ml b l q g d q p l f g b g ml q  g d q mr l b l cp d j e j k f g b cp j d t l mz l l d q c vv l b l d m v u d e mcj d g hcy g mcj d k j hl e u hl p g d q f b j mj e j h p { Á l b l  m r l b l p u hmp j v Ô u hmc~ g b cg ml n d g h o p cp j d t j mr p f l e cv ce g d q d j d p f l e cv ce k j q cv ce g mcj d p j t mg cd l q z cmr mr b l l q o l p  b r j q g k cd l Û Ü Ã s Û Ü Å  e o g d cd l Õ Ã i o Õ Å g d q mr cj d cd g e l mg m l à | Á n Å  g m q cv v l b l d m g w cd w p mg mu p  g b l p u f f j bm l q g d q l hu e cq g m l q t o p ml g q o € p mg ml g d q mck l € b l p j h~ l q v hu j b l p e l d e l k l g p u b l k l d mp  mr l b k j € w b g ~ ck l ml b g d g h o p cp à | Ü n Å g d q i j k f u mg mcj d g h Ô j q l hcd w  p r j z cd w mr g m mr l k l mr j q j hj w o e g d b cw r mho g p f cb l mj t l e j k l g d g h ml b d g mc~ l f j z l b v u h g d q b j u mcd l ml p m v j b i Ä | € t g p l q v u d e mcj d g h d g d j p mb u e mu b l p { Ý ‚ Þ ß à á ^ ˆâ á „ ] _ ã Ý ‚ ä ‡ „ ` ] ˆ… „ _ ãˆå _ ] ˆ… „

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e g p l j v mr l j x cq cy l q g d q v u d e mcj d g hc y l q p g k f hl p { n e mu g hho  mr l f j p cmcj d cd w j v mr l f j cd mp cd mr l v cd g h p e j b l f hj m cp j d h o f g b mcg hho g v v l e ml q t o mr cp e r j ce l  t u m e hu p ml b p g b l hl p p e j k f b l p p l q g d q k j b l b l g q g t h l cv g d g h o y l q t o k l g d p j v mr l e j b b l hg mcj d k g mb cx  g p e g d t l ~ l b cv cl q t o hj j ® cd w g m mr l e j k f g b cp j d p r j z d cd ï cw u b l ö Õ j v m r l ö ‰ { Ý ‚  … â à ‡ ] _ ] ˆ… „ _ ã â á ]  … † \ | r l Õ  p mb u e mu b l p j v cd ~ l p mcw g ml q e j k f j u d q p  mr cj d cd l g e l mg ml à | Á n Å  e o g d cd l g d q b r j q g k cd l  g b l f b l f g bl q u p cd w mr l t u chq cd w mj j h À ¾ ± ³¶ µ ¶ ¸   À ¯ ¾ ´¯ ¹ ¿   » ± ºµ ² u hg b k j q l hcd w p j v mz g b l Æì Ç { | r l p mg b mcd w w l j k l mb cl p g b l v u hho j f mck cy l q z cmr j u m p o k k l mb o e j d p mb g c d mp u p cd w mr l p l k cl k f cb ce g h } u g d mu k € k l e r g d ce g h n Ô Á g k c hmj d cg d ÆÛ Ç g p ck f hl k l d ml q cd ö f g b mg d  æ { | r l d  k cd ck cy l q p mb u e mu b l p g b l p u t k cmml q mj Ü s ‰  Öû ‰Ù i  û ñ Ú k v f b j e l q u b l Æé Ç { | r l f b j w b g k û ‰ Ù i  û ñ Ú k v v chml b p Ô ‰ ï f j cd mp e g he u hg ml q z c mr Ü s ‰  Æ Ç g e e j b q cd w mj u p l b € p f l e cv cl q mr b l p r j hq ~ g hu l p à € {æ t j mr v j b  s ý g d q i g b  €Õ {æ ® e g hÖ k j h v j b Ù €Å { Ý ‚   á ^ â … ù ^ _  ˆâ á ] ^ ˆ` Z „ _ ãø \ ˆ\    Z  | Ü n l x f l b ck l d mp z l b l f l b v j b k l q j d g f f b j x ck g ml ho æ k w j v mr l p g k f hl p z cmr g Û æ e k Ök cd d cmb j w l d v hj z à ð ð ð ð ð  f u b cmo Å g d q z cmr g æ  i Ök cd r l g mcd w b g k f u p cd w g | Ü n Û æ æ ö  | cd p mb u k l d m { Ý ‚!   … ] … ㇠⠈„ á \ ` á „ ` á " à á ` ] ^ … \ ` … à ø a r j mj l k cp p cj d p ml g q o € p mg ml p f l e mb g z l b l g e } u cb l q z cmr g Á j b ct g ü j t cd ý ~ j d ï hu j b j hj w Õ | i ö a i p f l e mb j v hu j b ck l ml b l } u cf f l q z cmr g Ú ì æ  ú l d j d hg k f g d q g Á g k g k g mp u s ð ­  f r j mj k u hmcf h cl b { | r l p f l e mb g h b l p f j d p l z g p e j b b l e ml q v j b mr l p f l e mb g h p l d p cmc~ cmo j v mr l f r j mj k u hmcf hcl b { # º· ± ¾ µ ° ² µ ¹ ² µ º ³¼ µ ´³ » µ °  $ ï  z l b l k l g p u bl q u p cd w g m ck l € e j b b l hg ml q p cd w hl f r j mj d e j u d mcd w à | i ö a i Å ml e r d c} u l à Á j b ct g ü j t cd ý ~ j d Å z cmr l x e cmg mcj d p j u b e l Ä g d j % l q g m Ú ì ì d k à Á j b ct g Å g d q ck f u hp l b l f l mcmc j d b g ml j v Ô Á y mj g | û ú € Ú q l ml e mj b { | r l q l m l e mj b z g p p l m mj ì ì æ d k v j b b r j q g k cd l Û Ü  Û ì d k v j b | Á n g d q ì Û æ d k v j b e o g d cd l z cmr g Ú d k t g d q f g p p { | r l cd p mb u k l d m z g p p l m cd mr l s l ~ l b p l | n i k j q l  z r l b l mr l v cb p m q l ml e ml q f r j mj d b l f b l p l d ml q mr l p mg b m p cw d g h t o mr l mck l € mj €

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g k f hcmu q l e j d ~ l b ml b à | n i Å  g d q mr l l x e cmg mcj d f u hp l mb cw w l b l q mr l p mj f p cw d g h {  n ö Û q l e g o g d g ho p cp p j v mz g b l z g p u p l q v j b hcv l mck l e g he u hg mcj d & ‚ ÷ á \ ‡ ã] \ ‚ ÷ _ â _ „ _ „ _ ãø \ ˆ\ ‚ ‚ ÷ _ â _ „ \ à á ` ] ^ _ ï cw u b l f bl p l d mp p cd w hl s g k g d p f l e m bg e j hhl e ml q j d mr l f b cp mcd l e g bt j d d g d j mu t l f j z q l b p g k f hl à t hg e ® p j hcq hcd l Å  j d mr l p cd w hl z g hhl q i Ä | à ö  i Ä | Å p g k f hl p u t Ø l e ml q mj e r l k ce g h j x cq g mcj d  j € ö  i Ä | p à k g w l d mg q g p r € q j mml q hcd l Å  g d q j d mr l ö  i Ä | p g k f hl mb l g ml q z cmr i o Õ q o l t l v j b l à w b l o q j mml q hcd l Å g d q g v ml b à w b l l d q g p r l q hcd l Å mr l j x cq g mcj d { ä ˆù ‡ ^ á  ‚ ö cd w hl s g k g d p f l e mb g e j hhl e ml q j d mr l f b cp mcd l e g b t j d d g d j mu t l f j z q l b p g k f hl à t hg e ® p j hcq hc d l Å  j d mr l i Ä | p g k f hl p u t Ø l e ml q mj e r l k ce g h j x cq g mcj d à k g w l d mg q g p r € q j mml q hcd l Å g d q j d mr l i Ä | p g k f hl mb l g ml q z cmr e o g d cd l q o l t l v j b l à w b l o q j mml q hcd l Å g d q g v ml b à w b l l d q g p r l q hcd l Å mr l j x cq g mcj d { | r l cd p l m b l f j b mp g k g w d cv ce g mcj d j v mr l e l d mb g h p f l e mb g h b g d w l { | r l t hg e ® p f l e mb u k p r j z p p j k l mo f ce g h f l g ® p g mmb ct u ml q mj e g b t j d d g d j mu t l p { | r l k j b l cd ml d p l cp mr l Ü f l g ®  hj e g ml q g m g t j u m ì  æ e k çÿ  z r ce r cp g p p j e cg m l q z cmr mg d w l d m cg h ~ ct b g mcj d k j q l p j v p cq l z g hh i × i t j d q p  g d q e j d p cp mp j v mr b l l e j k f j d l d mp Æð Ç { | r l  t g d q  g m g t j u m Õ Õ æ e k çÿ  r g ~ cd w

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g k u e r hj z l b c d ml d p cm o  cp g p e b ct l q mj q cp j b q l b € cd q u e l q f r j d j d k j q l j v mr l e g b t j d p cx v j hq b cd w p t b l g mr cd w ~ ct b g mcj d { | r l p mb u e mu b l q s g q cg h û b l g mr c d w Ô j q l à s û Ô Å cp hj e g m l q g m hj z s g k g d p r cv mp  g d q r g p g v b l } u l d e o z r ce r cp cd ~ l b p l ho f b j f j b mcj d g h mj mr l mu t l q cg k l ml b { | r l t g d q f j p cmcj d l q g m g t j u m é Õ ì e k çÿ  e g hhl q Ô t g d q  cp g p l e j d q € j b q l b f l g ® w l d l b g h ho g p p cw d l q mj g e j k t cd g mcj d k j q l j v mr l Ü g d q s û Ô t g d q p Æð  æ Ç  j b mj j ~ l b mj d l p j v mr l j u m € j v €f hg d l cd v b g b l q g e mc~ l k j q l g m  Û é e k ÿ cd w b g f r cml Æ  ­ Ç { ï cd g hho  ´½ µ ¿ ¸ ¯ ¹ ¶  ¯ ´ ¯ ¸ ± · ´ ' ( ) ) ² » çÿ  cp g  t g d q j ~ l b mj d l g d q b l f b l p l d mp mr l q j k cd g d m p l e j d q € j b q l b v l g mu b l cd ö  i Ä | s g k g d p f l e mb g  z cmr q l k j d p mb g ml q p l d p cmc~ cmo mj q j f cd w Æ Õ  Ú Ç { | r l k g w l d mg q g p r € q j mml q p f l e mb u k e j hhl e ml q g v ml b m r l j x cq g mcj d ´¾ µ ¯ ´» µ ¹ ´ ³° ² ½ ¯ ¾ ¯ ² ´µ ¾ ³* µ ¶ ¸  ¯ ² ± ¹ ° ³¶ µ ¾ ¯ ¸ ºµ ¶ µ ² ¾ µ ¯ ° µ ± ¼ ´½ µ  ¿ ¯ ¹ ¶    ¸ ¯ ¹ ¶ ³¹ ´µ ¹ ° ³´³µ °  ¯ ~ cp ct hl cd e b l g p l j v mr l  t g d q à q u l mj mr l f b l p l d e l j v cd q u e l q p mb u e mu b g h q l v l e mp g d q p cq l z g hh q cp j b q l b j b g k j b f r j u p e g b t j d e j g mcd w Å g d q t o mr l g hk j p m e j k f h l ml q cp g f f l g b g d e l j v mr l Ô t g d q { ‰ d q l l q  mr l b g mcj s t l mz l l d mr l  g d q Ü t g d q cd ml d p cmcl p cp j v ml d u p l q mj l p mck g ml mr l i Ä | p mb u e mu b g h q cp j b q l b cd w Æ ì € é Ç { Ô j b l j ~ l b  g hh mr l e c ml q t g d q p g f f l g b u f € p r cv ml q à æ mj Õ æ e k çÿÅ  g p g d l v v l e m j v mr l g hml b g mcj d j v mr l b l p j d g d e l e j d q cmcj d p e g u p l q t o p f l e cv ce l d ~ cb j d k l d mg h g d q mu t l € mu t l cd ml b g e mcj d p  g d q t o e r g b w l mb g d p v l b f b j e l p p l p q u l m j i Ä | q j f cd w à p u e r g p cd m l b e g hg m l q g e cq k j hl e u hl p Å Æ  Ç { n p w l d l b g hh o g w b l l q  mr cp p l d p cmc~ cmo j v s g k g d p f l e mb j p e j f o mj p u b v g e l k j q cv ce g m cj d p g d q cd q u e l q q l v l e mc~ l d l p p k g ® l p cm g d cd e b l q ct ho f j z l b v u h ml e r d c} u l mj } u g hcmg mc~ l ho g p p l p p p mb u e mu b g h e r g d w l p j v ö  i Ä | p { Á j z l ~ l b  mr cd w p t l e j k l k j b l p u t mh l g d q hl p p j t ~ cj u p z r l d mb o cd w mj e j k f g b l p f l e mb g j t mg cd l q t l v j b l g d q g v ml b mr l v u d e mcj d g hcy g mcj d z cmr q o l k j hl e u hl p  t j mr v j b mr l f b cp mcd l g d q mr l j x cq cy l q p g k f hl { ‰ d q l l q  w b l o q j mml q g d q t hg e ® p j hcq p f l e mb g g f f l g b } u cml p ck chg b  q l k j d p mb g mcd w g ~ l b o p hcw r m l v v l e m j v u d p f l e cv ce cd ml b g e mcj d j v e o g d cd l z cmr f b cp mcd l ö  i Ä | p  k g cd ho w j cd w cd mr l p g k l q cb l e mcj d j v mr l j x c q g mc j d cmp l hv ë z r chl mr l i Ä | p f l e cv ce v u d e mc j d g hc y g mcj d à w bl l d q g p r l q e u b ~ l Å e g u p l p g d j f f j p cml l v v l e m j v t g d q p cd e b l g p l g d q q j z d € p r cv m z r l d e j k f g b l q z cmr mr l Ø u p m j x cq cy l q p g k f hl à k g w l d mg q g p r € q j mml q e u b ~ l Å  g p t l mml b ~ cp ct hl cd mr l cd p l m b l f j b mc d w g k g w d c vc e g mcj d j v mr l e l d mb g h p f l e mb g h b g d w l { ï u bmr l b k j b l  mr l mb l g ml q p g k f hl p b l p u hm } u cml d j d € r j k j w l d l j u p  t j mr cd e j d e l d mb g mcj d g d q v u d e m cj d g h cy g mcj d q l w b l l  p j mr g m s g k g d p f l e mb g

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g e } u cb l q g m ~ g b cj u p f j cd mp j d mr l w hg p p € q l f j p cml q f j z q l b g f f l g b q cv v l b l d m cd ml b k p j v t g d q f j p cmcj d g d q cd ml d p cmo à p l l ï cw u b l ö cd mr l ö ‰Å { | r l b l v j b l  g k g f f cd w f b j e l q u b l cp mj t l f b l v l b b l q v j b g e j k f hl ml g d q g e e u b g ml e r g b g e ml b cy g mcj d Æ Ú Ç { | r u p  p f l e mb g cq l d mcv ce g mcj d g d q cd ml b f b l mg mcj d  u p u g hho k g q l mr b j u w r t g d q v cmmcd w  cp d j m g m g hh g p mb g cw r mv j b z g b q j f l b g mc j d  l p f l e cg h ho z r l d q l g hcd w z cmr mr l e j k f g b cp j d j v q cv v l b l d m q o l p j b hg t l hcd w k j hl e u hl p g d q v u d e mcj d g hcy g mcj d f b j mj e j hp { ‚ ‚Ý  ^ ˆ„ ` ˆà _ ã  … â à … „ á „ ] Z „ _ ãø \ ˆ\ _ à à ãˆá † ] … ÷ _ â _ „ â _ à \ a i n cp g k u hmc~ g b cg ml p mg mcp mce g h g d g ho p cp ml e r d c} u l z cq l h o u p l q mj b l q u e l mr l q ck l d p cj d g hcmo j v g q g mg p l m e j d p cp mcd w j v g hg b w l d u k t l b j v ~ g b cg t hl p  z r chl f b l p l b ~ cd w k j p m j v mr l b l hl ~ g d m cd v j b k g mcj d e j d mg cd l q cd mr l p l m { | r cp cp g e e j k f hcp r l q mr b j u w r g hcd l g b mb g d p v j b k g mcj d j v mr l ~ g b cg t hl p mr g m f b j Ø l e mp mr l j b cw cd g h j d l p cd g d l z i g b ml p cg d p o p ml k cd z r ce r d l z ~ g b cg t hl p g b l p j bm l q cd q l p e l d q cd w j b q l b j v ~ g bc g d e l { | r l e j k f hl x cmo b l q u e mcj d cp q j d l t o k l b l ho e j d p cq l b cd w mr j p l mr g m g f f l g b mj t l mr l k g cd à v j b ~ g b cg d e l Å t l mz l l d mr l d l z ~ g b cg t hl p { Á l b l a i n cp g f f hc l q mj g d g ho p l s g k g d p f l e mb g t l hj d w cd w mj mr l k g f p g e } u c b l q j d mr l i Ä | p g k f hl p z cmr mr l g ck j v q cp e b ck cd g mcd w  q cp mcd w u cp r cd w g d q e j k f g b cd w q cv v l b l d m q l w bl l p j v i Ä | k j q cv ce g m cj d g d q v u d e mcj d g hcy g mcj d  q l ~ l hj f cd w g vg p m hg t l h vb l l g d q b l hcg t hl k l mr j q mj p mu q o mr l l v v l e mp j v q c vv l bl d m f b l f g b g mcj d f b j e l q u b l p j d mr l l v v ce g e o g d q r j k j w l d l cmo j v mr l v u d e mcj d g hcy g mcj d cmp l hv { | r l b l p u hmp j t mg cd l q j d f b cp mcd l  j x cq cy l q g d q q o l m bl g ml q e g b t j d d g d j mu t l p g b l p l f g b g ml h o b l f j b ml q v j b mr l mr b l l q cv v l b l d m hg t l hcd w k j hl e u hl p u p l q r l b l þ s Û Ü Ã ï cw u b l ­ n Å  | Á n à ï cw u b l ­ û Å g d q i o Õ Ã ï cw u b l ­ i Å { | r l p mb u e mu b l j v l g e r q o l cp p ® l me r l q d l g b mr l e j b b l p f j d q cd w w b g f r {

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ä ˆù ‡ ^ á Ý ‚ s l p u hmp j v a b cd e cf g h i j k f j d l d m n d g ho p cp g f f hcl q mj s g k g d k g f p j t mg cd l q j d f b cp mcd l  j x cq cy l q g d q q o l mb l g ml q f b cp mcd l g d q j x cq cy l q e g b t j d d g d j mu t l p v j b mr l mr b l l q cv v l b l d m u p l q hg t l hcd w k j hl e u hl p þ Z Å s Û Ü ë + Å | Á n ë  Å i o Õ { | r l p mb u e mu b l j v l g e r q o l cp p ® l me r l q d l g b mr l e j b b l p f j d q cd w w b g f r { ‰ d g hh e g p l p  f j cd mp b l f b l p l d mcd w p f l e mb g t l hj d w cd w mj q cv v l b l d m k g f p g b l e hl g b h o p l f g b g ml q  p j mr g m l ~ l d cv g e l b mg cd q l w b l l j v f j cd m p f b l g q cd w c p f b l p l d m g d ck k l q cg ml q cp mcd e mcj d cp f j p p ct hl t l mz l l d q g mg j t mg cd l q j d d j d j x cq cy l q g d q j x c q cy l q mu t l p  g d q t l mz l l d i Ä | mb l g ml q g d q d j m mb l g ml q z c mr q o l k j hl e u hl p { ‰ d f g b mce u hg b  v j e u p cd w j d ï cw u b l ­ n b l hg ml q mj b r j q g k cd l  mr l v cb p m f b cd e cf g h e j k f j d l d m a i  z l hh p l f g b g ml p f j cd mp e j b b l p f j d q cd w mj v u d e mcj d g hcy l q à k g cd ho hj e g ml q cd hl v m r g h v € f hg d l Å g d q d j m vu d e mcj d g hcy l q à k g cd ho hj e g ml q cd b cw r m r g hv € f hg d l Å p g k f hl p  z r chl mr l p l e j d q f b cd e cf g h e j k f j d l d m a i ­  g hhj z p g d l m p l f g bg mcj d t l mz l l d j x c q cy l q à u f f l b r g hv € f hg d l Å g d q f b cp mcd l

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à hj z l b r g hv € f hg d l Å i Ä | p  g p p o d mr l p cy l q t o mr l mz j g b bj z p q l f ce ml q f g b g hhl h mj m r l g x cp { n d l } u g hho e hl g b q cp Ø u d e mcj d cp g hp j j t mg cd l q v j b mr l j m r l b m z j q o l p {  g m g b l f j b ml q cd ï cw u b l ­ û v j b | Á n p ck chg b ho p r j z  cd v g e m g d l ~ cq l d m q cp mcd e mcj d t l mz l l d f b cp mcd l g d q j x cq cy l q p g k f hl p mr g m t l hj d w  b l p f l e mc~ l h o  mj mr l u f f l b g d q hj z l b r g hv € f hg d l p  z r chl mr l a i e j k f j d l d m p l f g b g ml p } u cml z l hh mr l p g k f hl p d j m mb l g ml q z cmr mr l q o l à f j p cmcj d l q j d mr l b cw r mÅ  g d q mr j p l e r l k ce g hh o v u d e mcj d g hcy l q à f j p cmcj d l q j d mr l hl vm Å z cm r mr l l x e l f mcj d j v g p l f g b g m l q w b j u f j v f j cd mp q cp e u p p l q hg m l b cd mr l ml x m { | r l p cmu g mcj d cp f l e u hcg b v j b i o Õ { ‰d mr cp e g p l  a i ­ p l f g b g ml p  g w g cd  j x cq cy l q g d q d j d j x cq cy l q i Ä | p  t u m mr l v u d e mcj d g hcy g mc j d w c~ l p g q cv v l b l d m hj e g hcy g mcj d j v mr l k g f f j cd mp  p j mr g m p f l e mb g j v f b cp mcd l mb l g ml q i Ä | p g b l f j p cmcj d l q j d mr l hl v m z r chl j x cq cy l q mu t l p hcd ® l q mj mr l q o l g f f l g b k g cd ho hj e g ml q j d mr l b cw r m à p l l mr l g b bj z p f g b g hhl h mj mr l g x cp Å { | r l p r j z d q cpØ u d e mcj d j v q g mg f j cd mp e j b b l p f j d q cd w mj p f l e mb g j t mg cd l q j d q cv v l b l d m p g k f hl p q l k j d p mb g m l p mr l g t chcmo j v a i n g f f hcl q mj s g k g d k g f f cd w mj r cw r hcw r m p k g hh p f l e mb g h q cv v l b l d e l p  l ~ l d cd f b l p l d e l j v u d g ~ j cq g t hl p g k f hl cd r j k j w l d l cmo { ‰d m l bl p mcd w h o  p g k f hl cd r j k j w l d l cmo  mj w l mr l b z cmr g f j p p ct hl p hcw r m q l v j e u p cd w q u b cd w mr l g u mj k g mce k g f f cd w f b j e l q u b l  j d h o e g u p l p g hcd l g b p f b l g q cd w j v mr l f j cd mp g p p j e cg ml q mj mr l p g k l k g f  z r chl k g f p j t mg cd l q cd q cv v l b l d m g b l g p j v mr l f j z q l b p g k f hl g b l g hk j p m p u f l b f j p l q  g p e g d t l ~ l b cv cl q t o hj j ® cd w g m ï c w u b l ö ­ { | r cp k l g d p mr g m g p cd w hl k g f cp p u v v ce cl d m v j b g e j k f hl ml cq l d mcv ce g mcj d j v mr l p g k f hl  z r ce r v u b mr l b q l k j d p mb g ml p mr l f j ml d mcg hcmo j v mr l g f f b j g e r { Ü j cd w q l l f l b cd p cq l cd q g mg g d g ho p cp  f j cd mp j v mr l p g k l k g f ml d q mj t l q cp mb ct u ml q g hj d w p mb g cw r m hcd l p j v v cx l q p hj f l  z r ce r r g ~ l g d j f f j p cml p c w d v j b j x cq cy l q g d q d j d j x cq cy l q i Ä | p  z cmr mr l l x e l f mcj d j v j x cq cy l q mu t l p v u d e mcj d g hcy l q z cmr i o Õ g d q | Á n  mr l v cb p m g f f l g b cd w p u t p mg d mcg hho e hj u q e hu p m l b l q  g d q mr l p l e j d q t l cd w  g p g hb l g q o p g cq  q c~ cq l q cd mj mz j q cp mcd e m w b j u f p q cv v l b l d mho f j p cmcj d l q z cmr b l p f l e m mj m r l a i e j k f j d l d m { n m mr cp f j cd m g e j k f g b cp j d t l m z l l d q cv v l b l d m v u d e mcj d g hcy g mcj d k j hl e u hl p e g d t l g hp j ml k f ml q t o p l ~ l b g hh o g f f h o cd w a i n mj f bcp mcd l mb l g ml q p g k f hl p  g d q mj j x cq cy l q mb l g ml q p g k f hl p { | r l b l p u hmp g b l b l f j b ml q cd ï c w u bl p Õ n g d q Õ û  b l p f l e mc~ l ho {

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ä ˆù ‡ ^ á { Z Å b l p u hmp j v a b cd e cf g h i j k f j d l d m n d g ho p cp g f f hcl q mj s g k g d k g f p j t mg cd l q j d f b cp mcd l i Ä | p à t hg e ® p } u g bl p Å g d q f b cp mc d l i Ä | p mb l g ml q z cmr b r j q g k c d l à hcw r m w b l o e c b e hl p Å e o g d cd l à w b l o u f € mb cg d w hl p Å g d q | Á n à q g b ® € w b l o q j z d €m bc g d w h l p Å { + Å s l p u hmp j v a b cd e cf g h i j k f j d l d m n d g ho p cp g f f hcl q mj s g k g d k g f p j t mg cd l q j d j x cq cy l q i Ä | p à k g w l d mg p } u g b l p Å g d q j x cq cy l q i Ä | p mb l g ml q z cmr e o g d cd l à w b l l d e cb e hl p Å  | Á n à t hu l u f € mb cg d w hl p Å g d q b r j q g k cd l à b l q q j z d € mb cg d w hl p Å { ‰ d mr l v cb p m w b g f r  mr l a i e j k f j d l d m z r ce r g e e j u d mp v j b k j p m j v mr l q g mg ~ g b cg d e l à g hk j p m ð ì  Å  z l hh p l f g b g ml p f j cd mp e j b b l p f j d q cd w mj d j m v u d e mcj d g hcy l q mu t l p à t hg e ® p } u g b l p  f j p cmc ~ l ~ g hu l p j v mr l e j k f j d l d mÅ g d q mr j p l g p p j e cg ml q mj mr l k g f p e j hh l e ml q g v m l b mr l mb l g mk l d m z cmr mr l q o l p à d l w g mc~ l ~ g hu l p j v mr l e j k f j d l d mÅ { Á j z l ~ l b  m r l v u d e mcj d g hcy g mcj d z cmr | Á n p l l k p hl p p l v v l e mc~ l t l e g u p l f j cd mp à q g b ® € w b l o q j z d € mb cg d w hl p Å g f f l g b f g b mcg hho p f b l g q j d mr l b cw r m r g hv € f hg d l { | r l p l e j d q e j k f j d l d m a i ­  Ø u p m g e e j u d mcd w v j b Õ  j v ~ g b cg d e l  g hhj z p mj q cp mcd w u cp r mr l mr b l l q o l p mr g m g b l ~ l b mce g hho q cp m bc t u ml q v b j k s Û Ü Ã hj z l b ~ g hu l p j v mr l e j k f j d l d mÅ mj | Á n à r cw r l b ~ g hu l p j v mr l e j k f j d l d mÅ { n p b l w g b q p mr l j x cq cy l q mu t l p  ï cw u b l Õ û p r j z p g e j € hj e g hcy g mcj d j d mr l b cw r m r g hv € f hg d l j v mr l e hj u q j v f j cd mp j v mr l e o g d cd l mb l g ml q p g k f hl g d q f j cd mp t l hj d w cd w mj mr l p l e j d q w b j u f g p p j e cg ml q z cmr mr l v u d e mcj d g hcy g mcj d z cmr | Á n  cd q ce g mcd w g p ck chg b t l r g ~ cj u b {  cv v l b l d mho  g hh mr l j mr l b k g f p g b l f hg e l q j d mr l hl vm r g hv € f hg d l  z cmr a i e j k f j d l d mp r g ~ cd w cd e b l g p cd w d l w g mc~ l ~ g hu l p v b j k p ck f ho j x cq cy l q  mj s Û Ü g d q  v cd g hho  | Á n mb l g ml q mu t l p {

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‰ d ml b l p mcd w h o  mr l p f l e cv ce f j p cmcj d cd w j v mr l p f l e mb g h f j cd mp j d ho p hcw r mho q l f l d q p j d p g k f hl g w l cd w { | j chhu p mb g ml mr c p cp p u l  ï cw u b l Ú f b l p l d mp mr l b l p u hmp j v mr l a i n g d g ho p cp z r l d e j d p cq l b cd w g hh mr l k g f p b l g hcy l q j d f b cp mcd l p g k f hl p mj w l mr l b  g d q g q q cd w f j cd mp e j hhl e ml q j d p ck chg b p g k f hl p t u m f b l f g bl q g m q cv v l b l d m mck l p  c {l { f b cp mcd l i Ä | p f u m cd e j d mg e m z c mr e o g d cd l k j hl e u hl p g m mr l p g k l mck l j v mr l j mr l b q o l k j hl e u hl p à a b cp mcd l , i o Õ  w b l o u f € mb c g d w hl p Å g d q g v ml b ­ k j d mr p à a b cp mc d l , i o Õ Öd l z  ~ cj hl m q cg k j d q p Å { ä ˆù ‡ ^ á ‚ s l p u hmp j v a b cd e cf g h i j k f j d l d m n d g ho p cp j t mg cd l q z r l d g q q cd w mj mr l f j cd m p g p p j e cg ml q mj g hh mr l k g f p e j hhl e ml q j d f b cp mcd l mu t l p  g hp j mr j p l t l hj d w c d w mj mr l k g f p e j hhl e ml q j d p ck chg b p g k f hl p t u m f b l f g b l q g m q cv v l b l d m mck l p  c {l { f b cp mcd l i Ä | p f u m cd e j d mg e m z cmr e o g d cd l k j hl e u hl p g m mr l p g k l mck l j v mr l j mr l b q o l k j hl e u hl p à a b cp mcd l , i o Õ  w b l o u f € mb cg d w hl p Å g d q g v ml b ­ k j d mr p à a b cp mcd l , i o Õ Öd l z  ~ c j hl m q cg k j d q p Å { | r l mz j q cv v l b l d mho g w l q p g k f hl p g b l g hk j p m p u f l b f j p l q cd mr l p e j bl f hj m l ~ l d cv mr l d l z l p m j d l cp hl p p r j k j w l d l j u p f b l p l d mcd w p j k l f j cd mp hj e g ml q cd m r l b cw r m r g hv € f hg d l j v mr l w b g f r { | r l w l d l b g h k l mr j q cp mr u p e j d p cq l b g t ho b j t u p m w c~ cd w e hu p ml b cd w b l p u hmp p u t p mg d mcg hho d j m q l f l d q cd w j d mr l p g k f hl f b l f g b g mcj d { ‚Ý  … â à ‡ ] _ ] ˆ… „ _ ã ^ á \ ‡ ã] \

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Ô j hl e u h g b ‰ d ml b g e mcj d ï cl hq p Ã Ô ‰ï p Å z l b l u p l q mj k ck ce mr l q cv v l b l d m cd ml b g e mcj d t l mz l l d mr l mr b l l q o l p g d q e g b t j d d g d j mu t l p { û b cl v ho  mr l cd ml b g e m cj d l d l b w o t l m z l l d g p k g hh k j hl e u hl j b f g b mce hl à e g hhl q mr l f b j t l Å g d q g e j k f j u d q à mr l mg b w l m r l b l | Á n  i o Õ g d q s Û Ü Å cp e g he u hg ml q t o f j p cmcj d cd w mr l f b j t l cd g Õ  b l w u hg b hg mmce l j v f j cd mp p u b b j u d q cd w mr l mg b w l m { | r l p l m j v cd ml b g e m cj d l d l b w o ~ g h u l p w l d l b g ml p g Ô ‰ ï mo f ce g h j v mr l e j k f j u d q g d q mr l f b j t l  g d q mr u p q cv v l b l d m Ô ‰ ï p f l b k cm m j l x f hj b l ~ g b cj u p f b j f l b mcl p j v mr l mg b w l m t o u p cd w q c vv l b l d m f b j t l p { Á l b l z l u p l q mz j f b j t l p d g k l q i g b à k ck cd w cd ml b g e mcj d z cmr g b j k g mce e g b t j d p Å g d q Ù € à k ck cd w e g b t j x o hg ml g mj k p Å {  l l x f l e m mr g m Ô ‰ï p q l b c~ l q v b j k i g b f b j t l e j u hq k ck c e mr l cd ml b g e mcj d t l mz l l d mr l mg b w l m g d q f b cp mcd l i Ä | p  z r l b l g p f b j t l Ù € e g d f b j ~ cq l cd v j bk g mc j d g t j u m mr l cd ml b g e mcj d z cmr e g b t j x o hce w b j u f p f b l p l d m j d mr l p u b v g e l j v j x cq cy l q e g b t j d d g d j mu t l p { ‰ d f g b mce u hg b  mr l d u k t l b j v mr l f j cd mp cd mr l w b cq z cmr l d l b w o hl p p mr g d g u p l b × q l v cd l q mr b l p r j hq w c~ l p g d l p mck g mcj d j v mr l f b j f l d p cmo j v mr l mg b w l m mj c d ml b g e m z cmr g e l b mg cd f b j t l Æ ð Ç { ï cw u b l ì f b l p l d mp mr l b l p u hmp l x mb g e ml q t o û ‰ Ù i  û ñ € k v v b j k Ü s ‰  Ô ‰ ï p à p l l ö ‰ Å v j b mr l m r bl l mg b w l mp þ s Û Ü Ã g Å  i o Õ Ã t Å g d q | Á n à e Å { n b j u d q mr l p mb u e mu b l p j v mr l e j k f j u d q p  mr l w b l l d f j cd mp e j b b l p f j d q mj mr j p l cd mr l w b cq g p p j e cg ml q mj g d l d l b w o h l p p mr g d € ® e g hÖk j h v j b mr l f b j t l i g b  z r chl mr l b l q f j cd mp g b l g p p j e cg ml q mj g d l d l b w o hl p p mr g d € Õ {æ ® e g hÖk j h vj b mr l f b j t l Ù € { | r l v cw u b l p r j z p mr g m | Á n g f f l g b p mj r g ~ l g d r cw r l b cd ml b g e mcj d ~ j hu k l v j b mr l f b j t l Ù € z cmr b l p f l e m mj mr l j mr l b mz j q o l p {

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ä ˆù ‡ ^ á  ‚ Ô ‰ ï p j t mg cd l q z c mr i g b à w b l l d Å g d q Ù € à bl q Å f b j t l p v j b à g Å s Û Ü ë Ãt Å i o Õ g d q à e Å | Á n { i g b f b j t l e g me r mr l f b j f l d p cm o j v mr l k j hl e u hl mj cd ml b g e m z cmr r o q b j f r j t ce b l w cj d p j v mr l d g d j mu t l  z r l b l g p Ù € mr l f b j f l d p cmo mj cd ml b g e m z cmr e g b t j x o hg ml w b j u f p j d mr l p u b vg e l j v j x cq cy l q d g d j mu t l p { | r l d u k t l b j v f j cd mp j t mg cd l q t o u p cd w mr l mz j f b j t l p v j b l g e r e j k f j u d q g b l g hp j b l f j b ml q cd | g t hl {  _ [ ãá  ‚ Ä u k t l b j v Ô ‰ ï f j cd mp z cmr l d l b w o hl p p mr g d mr l p l hl e ml q mr b l p r j hq e g he u hg ml q t o û ‰ Ù i  û ñ k v v j b l g e r e j k f j u d q { - . / 01 2 34 5 6 7 89 : ; 8< = 1 >1 ? 34 5 6 7 89 : ; 8< @ A B C DC E F G F H I J K B L DC E M N 2 G O 2 2 P Q R S T U T V W X W Y W

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P I E a E Dc I b ]J ` ` D` L J d E E ƒ D K E C b h J d J g D K Dn E K ’ “ @ i P ` „ J m ’ “ @ i P ` … l E g I D f DbDC c B C J C m C E c ] Dc D f ] E a E Dc I b ]J ` ` DC B ] J a bE L e E d B b_ d E d B C c E „ Z Š Š m M Š Š – @ … a I E d E e d D` bDC E C B C J b_ f E ` B d E E g bd E L E ] A ` bB f ]E l a I D^ I D` K _ E bJ bI E e d E ` E C ^ E J h ^ B d f J g A ]D^ c d J _ e ` J C bI E b_ f E a B ]] ` j ‡ DC B ]]A l bI E ^ _ d ƒ E J f bB DC E K h J d J m ’ “ @ i P ` DC b I E e d E ` E C ^ E J h b I E K A E ` I J a ` B h _ d b I E d a E Dc I b ]J ` ` B d J _ C K † [ Š – @ l K _ E b J b I E J d c B C D^ K A E ` ]DC  E K bJ bI E C B C J b_ f E ` „ a E Dc I b ]J ` ` B b ‰ — Š – @ h J d @ A † B C K ‰ M Š – @ h J d H M N … j p q˜ ™ | t y š  › ‚ | y | t y  š | {v t › u t ‚ w €z t š œ € w u t ‚ } t  } t v t y ‚  u t v t  | ‚ P I E e d J ^ E K _ d E D` f B ` E K J C bI E K Dd E ^ b J C E ` bE e ]B f E ]DC c J h bI E J g DK Dn E K B C K e d D` bDC E ` DC c ]E a B ]]E K @ i P ` „ ’ “ @ i P ` … f A bI E ^ B bDJ C D^ h ]_ J dE ` ^ E C b K A E ` l B C K bI E B C B ] A ` D` J h bI E ` _ f ` E  _ E C b ƒ B d DB bDJ C ` DC b I E ` B L e ] E h ] _ J d E ` ^ E C ^ E E L D` ` D J C „ ` E E ž g e E d DL E C bB ] ` E ^ bD J C h J d b I E h _ ]] K E bB D ] J h b I E e d J ^ E K _ d E … j “ E C J bD^ E K B ` L B ]] K E ^ d E B ` E J h ^ J ]J _ d DC bE C ` Db A a I E C K A E ` J ]_ bDJ C ` a E d E L Dg E K a DbI e d D` bDC E ’ “ @ i P ` l ` I J a DC c bI B b e d D` bDC E ^ B d f J C C B C J b_ f E ` I B ƒ E B bE C K E C ^ A bJ B K ` J d f K A E L J ] E ^ _ ]E ` _ C ` e E ^ Dh D^ B ] ]A l B ` K E ` ^ d Df E K DC ]DbE d B b _ dE ˆ‰ Z ‹ j Ÿ _ bl a I E C bI E K A E ` B d E L Dg E K a DbI J g DK Dn E K ’ “ @ i P ` l bI E ^ J ]J _ d K D` B e e E B d ` ^ J L e ]E bE ]A DC bI E e d E ` E C ^ E J h P Q R l B C K ` bd J C c ]A K E ^ dE B ` E ` a I E C H M N B C K @ A † a E d E _ ` E K „ ` E E e I J b J D C ‡ Dc _ d E   B … K _ E b J D J C D^ e B Dd ` h J d L B bD J C J C b I E @ i P f E ba E E C b I E K A E ^ B bD J C „ o ¡ … B C K ` _ d h B ^ E ^ B d f J g A ]B bE c d J _ e ` ˆ‰ Š ‹ j P I E K E c d E E J h bI E h _ C ^ bDJ C B ]Dn B bDJ C „ D jE j I J a L _ ^ I K A E D` B K ` J d f E K ¢]D C  E K bJ bI E b_ f E ` … a B ` ` b_ K DE K f A ` bE B K A m ` bB bE h ]_ J d E ` ^ E C ^ E L E B ` _ d E L E C b` h J d E ƒ E d A K A E m @ i P ^ J L e ] E g f A L E B C ` J h B ^ B ] D f d B bD J C c d B e I L B K E h J d E B ^ I K A E _ ` E K j P I E e d J ^ E K _ d E ^ J C ` D` b` DC d E L J ƒ D C c K A E m @ i P ` ^ J L e ]E g E ` B h bE d ^ E C bd Dh _ c B bDJ C l bI E C h D]bE d DC c B C K bDbd B bDC c bI E ` J ]_ bDJ C f A L E B ` _ d DC c Db` h ]_ J d E ` ^ E C ^ E E L D` ` DJ C B C K ^ J L e B d DC c Db a DbI ^ B ]Df d B b DJ C ^ _ d ƒ E „ ` E E ž ’ Œ … j Ÿ A K Dh h E d E C ^ E a D bI bI E DC D bDB ] ^ J C bE C b J h bI E K A E l bI E B L J _ C b J h h ]_ J d J e I J d E bB  E C B h bE d DC bE d B ^ bDJ C a DbI K Dh h E d E C b ’ “ @ i P ` a B ` E ƒ B ]_ B bE K B C K E g e d E ` ` E K B ` L L J ] J h K A E „ ‡ Dc _ d E   f … j \ J d E J ƒ E d l bJ f E bbE d _ C K E d ` bB C K b I E  DC K J h b I E DC bE d B ^ bD J C J h b I E b I d E E K A E ` l a E ^ B ] ^ _ ] B bE K b I E K Dh h E d E C ^ E J h b I E ^ J C ^ E C bd B bD J C J h b I E K A E ` DC bI E e d E ` E C ^ E J h bI E J g DK Dn E K B C K e d D` bDC E @ i P ` „ K B bB C J b d E e J d bE K … j P I E ` E K B bB ` _ c c E ` b B f E bb E d DC bE d B ^ bDJ C f E ba E E C P Q R B C K J g DK Dn E K ^ B d f J C C B C J b_ f E ` l a I D]E H M N B C K e B d b] A @ A † ` I J a B e d J e E C ` DbA bJ DC bE d B ^ b a DbI C B C J b_ f E ` bI d J _ c I I A K d J e I J f D^ B C K C J C m e J ]B d DC bE d B ^ bDJ C ` j

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 {x  u t £ q y … o Dh h E d E C ^ E DC ^ J ]J d B h bE d L Dg DC c K A E ` bJ ^  ` J ]_ bDJ C „ R … B C K J g DK Dn E K @ i P ` l J m ’ “ @ i P ` l „ Ÿ … l J d e d D` bDC E @ i P ’ l e m ’ “ @ i P ` l „ @ … ” ¤ … o Dh h E d E C ^ E DC h ] _ J d E ` ^ E C ^ E E L D ` ` D J C J h b I E K A E ` B h bE d DC bE d B ^ bD J C a DbI J m’ “ @ i P ` j P DL E m d E ` J ] ƒ E K h ] _ J d E ` ^ E C ^ E L E B ` _ d E L E C b` a E d E B ] ` J e E d h J d L E K J C b I E K A E ` DC ` J ] _ bD J C B C K J C ` J ] D K ` bB bE l B ` a E ]] B ` J C bI E @ i P m K A E ^ J L e ]E g E ` j ‡ E a K B bB B d E B ƒ B D]B f ]E DC ]DbE d B b_ d E l f _ b bI E A B d E DC B c d E E L E C b a DbI bI E e d E ` E C b d E ` _ ]b` ˆ‰ ‰ l ‰ † ‹ j P I E h ]_ J d E ` ^ E C ^ E K E ^ B A ` J h bI E ` b_ K DE K K A E ` DC ` J ]_ bDJ C B d E B ]] L J C J E g e J C E C bD B ] a Db I ] Dh E bDL E ` ^ J L e B d B f ] E a Db I ] DbE d B b_ d E K B bB ˆ‰ ¥ l ‰ [ ‹ „` E E P B f ] E ‰ … j P I E B C B ]A ` E ` e E d hJ d L E K J C bI E ^ J L e ]E g E ` @ i P m K A E J C ` J ]DK ` bB bE ` I J a ` bI B b bI E K E ^ B A ` f E ^ J L E f D m E g e J C E C bDB ] f _ b a DbI K Dh h E d E C b f E I B ƒ DJ _ d ` ^ B _ ` E K f A bI E K Dh h E d E C b ` bd _ ^ b_ d E J h bI E K A E ` _ ` E K ˆ‰ M ‹ j P I E d E ` _ ] b` ` I J a b I B b b I E K A E ` E h h E ^ bD ƒ E ] A DC bE d B ^ b a Db I b I E K Dh h E d E C b ’ “ @ i P ` D C ba J K Dh h E d E C b a B A ` K E e E C K DC c J C b I E bA e E J h b_ f E ` „ e d D` bDC E J d J g DK Dn E K … j Œ C b I E ^ B ` E J h H M N l Db` h ] _ J d E ` ^ E C ^ E ] Dh E bDL E DC E b I B C J ] D` † j — Š C ` B C K Š j ¥ [ C ` DC b I E ` J ] D K ` bB b E l a I D]E DC bI E e d E ` E C ^ E J h f J bI e d D` bD C E B C K h _ C ^ bD J C B ]D n E K @ i P ` bI E K E ^ B A f E ^ J L E ` f Dm E g e J C E C bDB ] a DbI b I E ` I J d bm ]Dƒ E K ^ J L e J C E C b f E ]J C c DC c bJ h d E E H M N a I D]E bI E ]J C c m ]Dƒ E K ^ J L e J C E C b ^ J _ ]K f E B bbd D f _ bE K b J b I E DC bE d B ^ bD J C f E ba E E C b I E K A E B C K b I E @ i P ` j P I E K Dh hE d E C ^ E ` B L J C c b I E b I d E E K A E ` B d E E ƒ DK E C b Dh a E B C B ]A ` E bI E ]Dh E bDL E e E d ^ E C bB c E f E ba E E C J g DK Dn E K B C K e d D` bDC E ` B L e ] E ` j Œ C bI E ^ B ` E

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J h P Q R h J d E g B L e ] E l b I E d E D`  _ DbE B f Dc K Dh hE d E C ^ E f E ba E E C ]J C c m ] Dƒ E K B C K ` I J d bm ] Dƒ E K ] Dh E bD L E e E d ^ E C b B c E J h e d D` bDC E B C K J g DK Dn E K @ i P ` ` I J a DC c bI E E h h E ^ bDƒ E C E ` ` J h bI D` e d J f E bJ f DC K h _ C ^ bD J C B ]D n E K b_ f E ` j k C bI E ^ J C bd B d A l h J d @ A † ¦ § ¨ © ª « ¬­ ®¯ ° ¦ ± ¨ ² ± ­³ ´ ¬§ ¨ ¦ ¨ ¬´ ´ ² ± ² § µ ² DC bI E Dd f E I B ƒ D J d a Db I e d D` bDC E J d h _ C ^ bD J C B ] Dn E K b_ f E ` j P I E ` E K A E ` DC K E E K l e d J f B f ] A K _ E b J b I E Dd ^ I E L D^ B ] ` bd _ ^ b_ d E l B e e E B d bJ DC bE d B ^ b C E B d ]A DC bI E ` B L E a B A a I B bE ƒ E d bI E C B b_ d E J h bI E b_ f E D` j r y ¤ €t ¶ q · ¸¹ ³ ± ² ¯ µ ² § µ ² ¸¬´ ² ­¬º ² » ¼ · ½ ³ ´ ­° ² ¨ ¾ ² ¯ ¦ ¸³ § ² » f J b I J C b I E ` J ] D K ` B L e ] E B C K DC ` J ] _ bD J C DC E bI B C J ]… B C K a DbI bI E K Dh h E d E C b @ i P ` _ ` E K j ¿ À Á Â Ã Ä Å Æ Ç È É ÊËÌ Í ÎÏ Ð Ñ È Í ÎÏ À ÑÈ Í ÎÐ Ç ÑÈ ËÑ È É ÊÒÓËÉ Ñ Ç ÎÔ ÑÈ Õ Ç ÎÖ ÑÈ ×Ø Í Î ÀÙ ÑÈ ÕÍ Î Ç ÑÈ ×Ú Í ÎÛ Ð ÑÈ Ü ËÓÝ Þ ßËÈ ÓËÑà Å á Â È Í Î Ç Û ÑÈ âÔ Í ã ä Ù ÎÏ Ç ÑÈ â Ù Í ã ä Í Î Ç Ð ÑÈ âÖ Ô ã ä Ç ÎÍ Ö Ñ È â Ù ã ä Í Î Ç Ï ÑÈ âå Ð ã ä Ç ÎÍ À ÑÈ â Ù Ð ã ä Ü ËÓÝ É æ ËÌ Ëç à Ì Å á Â È Í Î Ç Û ÑÈ âå Í ã ä Ù ÎÖ Ô ÑÈ â Ç Í ã ä Í Î Ç Ï ÑÈ âÔ À ã ä Ù ÎÐ Ð ÑÈ âÛ Ï ã ä Í Î Ç Í ÑÈ â À Ð ã ä Ù ÎåÏ ÑÈ â Ç Ð ã ä è é DC L E bI B C J ]l ˆ‰ [ ‹ ” ê é DC a B bE d ˆ‰ ¥ ‹ j ë Dh E bDL E e E d ^ E C bB c E ` B d E d E e J d bE K DC `  _ B d E f d B ^  E b` j ˜ q ì {‚ }  ‚ ‚ {w  P I E ` _ f ` b B C bD B ] B c dE E L E C b f E ba E E C bI E d E ` _ ]b` J f bB DC E K a DbI K Dh h E d E C b bE ^ I C D _ E ` B C K e d E ` E C bE K DC ` E ^ bDJ C ‰ D` d E L B d  B f ]E l B C K B ]]J a ` bJ f E bbE d DC bE d e d E b bI J ` E J h í @ R B e e ]DE K bJ H B L B C L B e ` j i J bB f ] A l J C E ^ B C E ƒ E C K d B h b B ` J d b J h ^ ] B ` ` Dh D^ B bD J C J h K A E L J ] E ^ _ ] E ` a Db I d E ` e E ^ b J h h _ C ^ bD J C B ]D n B bDJ C E h h D^ DE C ^ A î B ` d E c B d K ` J g DK Dn E K ` B L e ]E ` l P Q R L J ]E ^ _ ]E ` f E bb E d ]DC  bJ @ i P ` bI B C H M N l a I D]E @ A † ` E E L ` bJ f E bI E ]E ` ` E h h E ^ bDƒ E ” K Dh h E d E C b]A l H M N B C K @ A † ` I J a B e d J e E C ` DbA bJ DC bE d B ^ b a Db I C B C J b_ f E ` b I d J _ c I I A K d J e I J f D^ B C K C J C m e J ] B d DC bE d B ^ bD J C ` j P I D` d J _ c I ^ ] B ` ` Dh D^ B bD J C B e e E B d`  _ DbE ^ ]E B d a I E C B C B ]A ` DC c bI E C _ L f E d ` d E e J d bE K DC P B f ]E Z J f bB DC E K a DbI ^ J L e _ bB bDJ C B ] L E b I J K ` l f _ b Db D` B ] ` J ^ J C h Dd L E K f A b I E h ] _ J d E ` ^ E C b K B bB l ` _ L L B d Dn E K DC ‡ Dc _ d E   B C K bB f ] E ‰ j P N R L E B ` _ d E L E C b` ^ J C h Dd L bI E ` E B ` ` Dc C L E C b` l ` I J a DC c B K D` bDC ^ b f E I B ƒ DJ _ d h J d e d D` bDC E K A E m bd E B bE K B C K J g DK Dn E K K A E m bd E B bE K @ i P ` l K _ E b J bI E K Dh h E d E C b ^ J C bE C b J h ` _ e E d h D^ DB ] ^ B d f J g A ]B bE c d J _ e ` j N Dƒ E C b I D` c E C E d B ] _ C K E d ` bB C K DC c l J C E ^ B C  _ DbE E B ` D ] A d E B K B C K E g e ] B DC b I E e J DC b e J ` DbD J C DC c DC b I E ` ^ J dE e ]J b` J f bB D C E K a I E C B e e ]DE K í @ R bJ bI E H B L B C L B e ` ^ J ]]E ^ bE K J C bI E ƒ B dD J _ ` ` B L e ]E ` j ’ bB d bDC c h d J L bI E K B bB d E e J d bE K DC h Dc _ d E † R h J d e dD` bDC E b_ f E ` l J C E ^ B C DC h E d bI B b bI E í @ ‰ ^ J L e J C E C b

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B ^ ^ J _ C b` h J d b I E K A E e d J e E C ` Db A b J _ C ` e E ^ Dh D^ B ]] A DC bE d B ^ b a Db I b I E @ i P ` ` _ d h B ^ E j Œ C b I D` e D^ b_ d E l b I E ƒ E d bD^ B ] K D` bd Df _ bDJ C h d J L H M N „ ]J a E d ƒ B ]_ E ` J h bI E ^ J L e J C E C b… bJ P Q R „ I Dc I E d ƒ B ]_ E ` J h bI E ^ J L e J C E C b… d E h ]E ^ b` B K E ^ d E B ` DC c E h h D^ DE C ^ A J h D C bE d B ^ bD J C l B ]` J ^ J C h Dd L E K f A bI E h B ^ b bI B b ` J L E J h b I E e J DC b` J f bB DC E K J C b I E P Q R bd E B bE K ` B L e ] E E C ^ d J B ^ I b I E d Dc I b I B ] h m e ] B C E a I E d E C J b h _ C ^ bD J C B ]D n E K b_ f E ` B d E e J ` DbDJ C E K j @ J C ƒ E d ` E ]A l B ` h B d B ` bI E B d d B C c E L E C b J h bI E e J DC b` D` ^ J C ^ E dC E K l b I E h _ C ^ bD J C B ] Dn B bD J C J h J g D K Dn E K @ i P ` a Db I P Q R e d J K _ ^ E ` ` e E ^ bd B B ` ` J ^ DB b E K a D b I ]B d c E d C E c B bDƒ E ƒ B ]_ E ` J h bI E í @ Z ^ J L e J C E C bl B ` ` I J a C DC h Dc _ d E † Ÿ l bI _ ` ]J ^ B bDC c h B d bI E d B a B A a DbI d E ` e E ^ b bJ ` DL e ]A J g DK Dn E K b_ f E ` B C K E g bE C K DC c J C bI E ]E h b ` DK E J h bI E c d B e I j P I E í @ Z ^ J L e J C E C bl I B ƒ DC c DC ^ d E B ` DC c C E c B bDƒ E ƒ B ] _ E ` h d J L ` DL e ] A J g D K Dn E K l b J H M N l B C K l h DC B ]] A l P Q R bd E B bE K b_ f E ` l ^ B C bI _ ` f E d E ]B bE K bJ b I E h_ C ^ bD J C B ]Dn B b DJ C E h h D^ DE C ^ A a I E C ^ J C ` DK E d DC c J g DK Dn E K ` B L e ]E ` j P I E ` e d E B K DC c J h bI E e J DC b` ^ J d d E ` e J C K DC c b J bI E @ A † DC bE d B ^ bE K ` B L e ]E l L B DC ]A ]J ^ B bE K DC bI E d Dc I b I B ]h m e ]B C E l ^ J C h Dd L ` l DC ` bE B K l bI E ^ J L e _ bB bDJ C B ] d E ` _ ]b` bI B b DC K D^ B bE B ` ]Dc I b]A ` L B ]]E d DC bE d B ^ bDJ C ƒ J ]_ L E j i E ƒ E d bI E ]E ` ` l J C E ^ B C B ]` J C J bD^ E B K D` bd Df _ bDJ C J h bI E L B e ` B ]J C c bI E í @ ‰ ^ J L e J C E C b DC ^ d E B ` DC c h d J L e J DC b` f E ]J C c DC c b J b I E L B e ` d E B ] D n E K J C ` DL e ] A J g D K D n E K l b J H M N B C K P Q R bd E B bE K b_ f E ` j P I D` ^ J L e J C E C b B ]` J ^ J _ ]K f E e B d b] A B ` ` J ^ D B bE K bJ bI E h _ C ^ bDJ C B ]Dn B bDJ C E h h D^ DE C ^ A l E g e ]B DC DC c bI E DC ƒ E d bE K ^ ]B ` ` Dh D^ B bDJ C f E ba E E C H M N B C K @ A † J f bB DC E K a DbI h ]_ J d E ` ^ E C ^ E L E B ` _ d E L E C b` l ^ J d d E ] B bE K b J b I E I D c I í @ ‰ ƒ B ] _ E ` J h ` J L E e J DC b` J h b I E C J C m I J L J c E C E J _ ` ^ ]J _ K J h ^ A B C DC E h _ C ^ bDJ C B ]Dn E K @ i P ` j Œ b D` DC bE d E ` bDC c bJ C J bE bI B b DC h Dc _ d E † Ÿ P Q R e d E ` E C b` ba J ^ ]_ ` bE d ` J h e J DC b` l K Dh h E d E C b]A ]J ^ B bE K DC bI E ` ^ J d E e ]J b j P I D` h DC K DC c ` E E L ` bJ L E B C bI B b P Q R L J ]E ^ _ ]E ` B d E B f ]E bJ ]DC  bJ J g DK Dn E K @ i P ` a DbI ba J K D` bDC c _ D` I B f ]E L E ^ I B C D` L ` B ` ` J ^ DB bE K bJ K Dh h E d E C b E h h D^ D E C ^ DE ` l J C E ` DL D]B d b J bI B b bA e D^ B ] J h b I E DC bE d B ^ bD J C J h ^ A B C DC E L J ] E ^ _ ] E ` a Db I b I E @ i P ` ` _ d hB ^ E l B C K J C E L J d E ` bB f ] E B C K E hh E ^ bDƒ E l c Dƒ D C c d B D` E bJ ` e E ^ bd B ] e J DC b` a DbI ]J a E d ƒ B ]_ E ` J h í @ Z ^ J L e J C E C b j P I D` ^ J C ^ ]_ ` DJ C l a I D^ I D` J C ] A DC h E d B f ]E a I E C B e e ]A DC c L _ ]bDƒ B d DB bE B C B ]A ` D` bJ H B L B C ` e E ^ bd B B C K C J b K E K _ ^ Df ]E f A bI E J bI E d E g e E d DL E C bB ] bE ^ I C D _ E ` l B e e E B d ` _ e e J d bE K f A bI E B C B ]A ` D` J h bI E \ Œ‡ ` J h ^ A B C DC E B C K P Q R j P I E ` E ^ J L e J _ C K ` ` I B d E B C B d J L B bD^ ^ A ^ ]D^ e J db DJ C J h bI E ` bd _ ^ b_ d E bI B b DC bE d B ^ b` a DbI bI E @ B d l B ` ` I J a C f A

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c d E E C e J DC b` DC h Dc _ d E [ l ` _ c c E ` bDC c B h Dd ` b ^ J L L J C a E B  D C bE d B ^ bD J C L E ^ I B C D` L ” h _ d b I E d L J d E l P Q R ^ B C ` bd J C c ] A DC bE d B ^ b a DbI bI E k m e d J f E ` _ c c E ` bDC c bI E e d E ` E C ^ E J h B ` E ^ J C K L J d E E h h D^ DE C b L E ^ I B C D` L J h DC b E d B ^ bDJ C a DbI @ i P ` j P I E e d J e J ` E K L E b I J K l B e e ] DE K b J ` b_ K A b I E h _ C ^ bD J C B ] Dn B bD J C e d J ^ E ` ` B C K ^ J L e B d E K Dh h E d E C b ] B f E ] DC c L J ]E ^ _ ]E ` l B e e E B d ` d E B ]]A d J f _ ` b B C K bd _ ` ba J d bI A l E ` e E ^ DB ]]A ^ J C ` DK E d DC c bI B b bI E d E ` _ ]b` J f bB DC E K a Db I K Dh h E d E C b ] A B c E K ` B L e ] E ` B d E DL e d E ` ` Dƒ E ] A ^ J I E d E C b î f A ]J J  DC c B b h Dc _ d E ¥ J C E ^ B C C J bD^ E b I B b bI E L B e ` d E B ] Dn E K J C e d D` bDC E b_ f E ` bd E B bE K a DbI @ A † B b K D hh E d E C b bDL E ` I B ƒ E bI E ` B L E e J ` DbDJ C a DbI d E ` e E ^ b bJ í @ ‰ l a I D^ I D` ` _ e e J ` E K bJ f E d E ]B bE K bJ bI E E h h E ^ bDƒ E C E ` ` J h bI E h _ C ^ bDJ C B ]Dn B bDJ C l D jE j bJ b I E e d J e E C ` DbA J h b I E K A E b J DC bE d B ^ b a Db I b I E @ i P ` j ŒC bE d E ` bDC c ] A l b I E K B bB d E e d E ` E C bB bD J C B ] ` J B ^ ^ J _ C b` h J d ` L B ]]E d K Dh h E d E C ^ E ` B ]a B A ` e d E ` E C b DC bI E L _ ]bD m ` bE e e d E e B d B b DJ C e d J ^ E K _ d E l c Dƒ E C bI B b bI E L B e B ` ` J ^ DB bE K bJ bI E C E a E ` b ` B L e ]E ^ J C bB DC ` ` e d E B K e J DC b` ]J ^ B bE K D C bI E d Dc I b I B ] h m e ]B C E l DC K D^ B bDC c B c dE B b E d C J C I J L J c E C E Db A DC bI E h _ C ^ bDJ C B ]Dn B bDJ C E h h D^ DE C ^ A j ð q ñ w  } € ‚ {w  P I E e d E ` E C bE K d E ` _ ]b` ^ ] E B d ] A K E L J C ` bd B bE bI E B f D]Db A J h í d DC ^ De B ] @ J L e J C E C b R C B ] A ` D` B e e ]DE K bJ H B L B C L B e e DC c bJ ` DL e ]A K D` bDC c _ D` I K Dh h E d E C b @ i P ` ` B L e ]E ` J C bI E f B ` D` J h bI E K E c d E E J h J g D K B bD J C l E h h D^ DE C ^ A J h h _ C ^ bD J C B ] Dn B bD J C l L J ] E ^ _ ] E ] B f E ] DC c B C K bd E B bL E C b I J L J c E C E DbA j P I E e d J ^ E K _ dE ^ B C f E B e e ]DE K a Db I ^ J C h DK E C ^ E bJ bI E ` b_ K A B C K ^ J L e B d D` J C J h h DC B ] e d J K _ ^ b` l B C K d E e d E ` E C b` B d E ]DB f ]E L E bI J K h J d bI E h B ` b ` ^ d E E C DC c J h h _ C ^ bDJ C B ] C B C J ` bd _ ^ b_ d E ` f B ` E K J C ^ B d f J C C B C J b_ f E ` DC ` E ƒ E d B ] h DE ]K ` l ` _ ^ I B ` f DJ m DL B c DC c l K d _ c K E ]Dƒ E d A l bJ g D^ J ]J c A l ^ I E L D^ B ] L B e e DC c j Œ C e B d bD^ _ ]B d l bI D` ` b_ K A B ]]J a E K bJ ^ J L e D]E B d E B ] c d B K DC c J h bI E e d J e E C ` Db A J h bI E ` b _ K DE K K A E L J ] E ^ _ ] E ` b J DC bE d B ^ b a Db I @ i P ` î d I J K B L DC E M N B C K ^ A B C DC E e d E h E d B f ] A ] DC  b J e d D` bDC E b_ f E ` l ƒ DB I A K dJ e I J f D ^ B C K C J C m e J ]B d DC bE d B ^ bDJ C ` l a I E d E B ` P Q R e d E h E d ` J g DK Dn E K ` B L e ]E ` l dD^ I J h ^ B d f J g A ]D^ c d J _ e ` j \ J d E J ƒ E d l bI E h _ C ^ bDJ C B ]Dn B bDJ C a DbI ^ A B C DC E B e e E B d ` ]E ` ` I J L J c E C E J _ ` l B C K bI E c d B e I D^ B ] J _ b^ J L E J h bI E í @ R B C B ]A ` D` K J E ` C J b ^ d DbD^ B ]] A K E e E C K J C bI E ` B L e ]E B c E DC c j P I E ` E dE ` _ ]b` L B A f E

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