ASYNC-RED: A PROVABLY CONVERGENT ASYN-CHRONOUS BLOCK PARALLEL STOCHASTIC METHOD USING DEEP DENOISING PRIORS

Abstract

Regularization by denoising (RED) is a recently developed framework for solving inverse problems by integrating advanced denoisers as image priors. Recent work has shown its state-of-the-art performance when combined with pre-trained deep denoisers. However, current RED algorithms are inadequate for parallel processing on multicore systems. We address this issue by proposing a new asynchronous RED (ASYNC-RED) algorithm that enables asynchronous parallel processing of data, making it significantly faster than its serial counterparts for large-scale inverse problems. The computational complexity of ASYNC-RED is further reduced by using a random subset of measurements at every iteration. We present complete theoretical analysis of the algorithm by establishing its convergence under explicit assumptions on the data-fidelity and the denoiser. We validate ASYNC-RED on image recovery using pre-trained deep denoisers as priors.

1. INTRODUCTION

Imaging inverse problems seek to recover an unknown image x 2 R n from its noisy measurements y 2 R m . Such problems arise in many fields, ranging from low-level computer vision to biomedical imaging. Since many imaging inverse problems are ill-posed, it is common to regularize the solution by using prior information on the unknown image. Widely-adopted image priors include total variation, low-rank penalties, and transform-domain sparsity (Rudin et al., 1992; Figueiredo & Nowak, 2001; 2003; Hu et al., 2012; Elad & Aharon, 2006) . There has been considerable recent interest in plug-and-play priors (PnP) (Venkatakrishnan et al., 2013; Sreehari et al., 2016) and regularization by denoising (RED) (Romano et al., 2017) , as frameworks for exploiting image denoisers as priors for image recovery. The popularity of deep learning has led to a wide adoption of deep denoisers within PnP/RED, leading to their state-of-the-art performance in a variety of applications, including image restoration (Mataev et al., 2019) , phase retrieval (Metzler et al., 2018) , and tomographic imaging (Wu et al., 2020) . Their empirical success has also prompted a follow-up theoretical work clarifying the existence of explicit regularizers (Reehorst & Schniter, 2019) , providing new interpretations based on fixed-point projections (Cohen et al., 2020) , and analyzing their coordinate/online variants (Sun et al., 2019a; Wu et al., 2020) . Nonetheless, current PnP/RED algorithms are inherently serial. As illustrated in Fig. 1 , this makes them suboptimal on multicore systems that are often required for processing large-scale datasets (Recht et al., 2011) , such as those involving biomedical (Ong et al., 2020) and astronomical images (Akiyama et al., 2019) We address this gap by proposing a novel asynchronous RED (ASYNC-RED) algorithm. The algorithm decomposes the inference problem into a sequence of partial (block-coordinate) updates on x executed asynchronously in parallel over a multicore system. ASYNC-RED leads to a more efficient usage of available cores by avoiding synchronization of partial updates. ASYNC-RED is also scalable in terms of the number of measurements, since it processes only a small random subset of y at every iteration. We present two new theoretical results on the convergence of ASYNC-RED based on a unified set of explicit assumptions on the data-fidelity and the denoiser. Specifically, we establish its fixed-point convergence in the batch setting and extend this analysis to the randomized minibatch scenario. Our results extend recent work on serial block-coordinate RED (BC-RED) (Sun et al. , x N 6 l k N H Y j 9 t q 9 H B v / 6 2 s m F R f J q c 5 T 9 i 6 m Q c J 9 7 l E N 6 H y a u / H F 6 O L B x n B 7 W F 1 k 2 R g 1 x o b T X J O L h 4 O v p z P h Z T F L t B d R p X 4 a D V P 9 r q B S c y 9 i 5 d o 0 U y y l 3 i U N W O E K c a m p q 0 p S X 5 s k l c J n y q y J R t 9 d Z T T i O i c Q E j H V y 6 S x 8 k W i O 5 l u B C 5 X U D k j M d U h U X n s i m g p y 2 C b B F n X V C Z C h z w J e o E J 9 5 g v q d c O 7 4 k Y n N o O S 3 w h y e j 7 x 1 u E a W + 7 l x t z T w o j a G l z L R G B p G m Y 9 y W I y / t w b R K u Y b M e g c F n v Q C P a 1 Z W E Y E U W U r g u S p Q f 2 f V y N x b l C b Q 5 0 E m b w l m N N E C V l 5 H w O r X T Y s k 7 O p q v a 9 R F A j J d Q i L L i E S H 9 X q q P K 2 w I Z V y 9 U h E 5 L d y m N J F s O G 4 m o V W p C Q X j M S M a 2 Z J M b H 5 I r N x V m k u R T z t h q Q G b D E B L N V 3 Q E o i 6 g E N f 5 X e B i a M 3 J r J z K f q T B K q o X O B C x w R k y U I j w h t B 6 l l 7 C o T l y 5 t r a 5 u U k m U g g f J r E a 6 D x i R R p R n p S m y Y 1 B n j U l 3 y I z 5 v O E m 3 0 D l C K m y d o 0 Y f M m u Y A z k Q p V + c t i 0 n n o R b W D l M V e a / d i m n t Z n D Z G z x u x O K Z l c V T d e h 5 P S B G B o H l Z j N H s R c B B z + K 0 n n 2 n t f u j w L Z h 7 n F 1 q 3 U S q S m K k C A V r N / 8 J c V 0 a 2 o 7 c 7 p V 1 g 4 q g 5 i D y 3 S x S O u 7 8 q F I w X Q L H G X Z i a O L f 4 m j C 4 y L e L w U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S p L l w K A 4 U p 4 4 i / 5 g a E f i r 9 A h 3 n A L Y i g X b o I L L 5 h E j H Y F v u 8 H Q V s i 2 f K R z y F R r R 8 L x k f H 1 O l i 2 K q 2 U I X 1 X P 5 8 x R Q 2 Z T O g 1 O q K b y C 6 4 w j o 0 R x d N E O p 3 m S k 1 q L J q X 3 i q v K 5 c Y w A / y j u F / X I h e R Z 5 G H i F n E E I U W h Y i U R Q r R w q K 2 F w K L A k S 5 R T m i G 4 t u E E m L J K I r i 6 4 Q J R a 1 X Z p Z l C E 6 s u g I 0 b V F 1 4 j m F s 0 R i Z g F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z H x u 5 g 2 J 5 F e 4 g O L T p c V V g y h 1 8 F A n 3 C J F + g 5 n U r V b L b J r J C o y v v u 2 4 6 r p t + 6 y 1 N F 1 K N U 4 E N S X M + Y 8 a y p W 4 y F U 2 a f j 2 F F s V e P c X N v e r i V 6 0 M X d x K 8 b K L X y I + 6 O I D x M d d f I x 4 v 4 v 3 W 5 m 7 + B D x p I s n i E + 6 + A T x W R e f / c c C a 3 k 6 3 1 C V u I 8 U 0 4 o I n 8 A v s w u f i t / W 6 e M 6 1 3 W L M c 6 P 6 M S i F 4 h e o A K I j i 1 6 i + g t v l m g u s 3 3 T D M f k G a 9 x h q 3 i v Y d H U 3 7 j l b V 3 b 5 j F z u j f S n t u V Y c t 1 v r g y 5 u i 7 r f x e 0 8 O 1 1 s j h N 8 S I 9 u f z Y v G + e P t 0 d P t p / + + G T j + W 7 z S X 3 P + c Z Z d x 4 5 I + c H 5 7 l z 4 E y c M 8 d z f n F + d X 5 z f h / 8 M X g / + H P w V x 1 6 9 0 6 T 8 5 X T u w Z / / w N A p 3 r T < / l a t e x i t > y2 < l a t e x i t s h a 1 _ b a s e 6 4 = " z Y W S K S v s p R z R d 3 O G 9 8 / M f D U H i M o = " > A A A M M X i c j Z b d T t x G F M e d 9 C t h + 5 G 0 6 l V v R i C k V K J 0 F 0 W q e l E p s C S A h N C W A I n S T d H Y O 7 a n 2 B 4 z M 2 b X W H 6 H 3 r a v 0 a f J X d X b v k T P 2 J 5 j m 9 1 W t Q Q + / p 1 z 5 u N / z n j t p h F X e j h 8 d + / + e + 9 / 8 O F H D x 6 u D T 7 + 5 N P P H j 3 + / E K J T H r s 3 B O R k K 9 d q l j E E 3 a u u Y 7 Y 6 1 Q y G r s R e + V e j Y 3 / 1 Q 2 T i o v k T O c p e x v T I O E + 9 6 g G d D H N 3 f h y 5 / L R x n B 7 W F 1 k 2 R g 1 x o b T X J P L x 4 M v p z P h Z T F L t B d R p X 4 a D V P 9 t q B S c y 9 i 5 d o 0 U y y l 3 h U N W O E K c a W p q 0 p S X 5 s k l c J n y q y J R t 9 c Z z T i O i c Q E j H V y 6 S B o H l Z j N H s R c B B z + K 0 n n 2 3 t f u j w L Z h 7 n F 1 q 3 U S q S m K k C A V r N / 8 J c V 0 a 2 o 7 c 7 p V 1 g 4 q g 5 i D y 3 S x S O u 7 8 q F I w X Q L H G X Z i a O L f 4 m j C 4 y L e L w U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S p L l w K A 4 U p 4 4 i / 5 g a E f i r 9 A h 3 n A L Y i g X b o I L L 5 l E j H Y F v u 8 H Q V s i 2 f K R z y F R r R 8 P x m f n F C l i 2 K q 2 U I X 1 X P 5 8 x R Q 2 Z T O g 1 O q K b y C 6 4 x j o 0 R x f N k O p 3 m S k 1 q L J q X 3 i q v K 5 c Y w A / y j u F / X I h e R Z 5 G H i F n E E I U W h Y i U R Q r R w q K 2 F w K L A k S 5 R T m i W 4 t u E U m L J K J r i 6 4 R J R a 1 X Z p Z l C E 6 t u g Y 0 Y 1 F N 4 j m F s 0 R i Z g F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z X x u 5 i 2 L 5 F + 4 i O L D p a V V g y h 1 8 F A n 3 C J F + g 5 n U r V b L b J r J C o y v v u 2 4 7 r t t + 6 y 1 N F 1 K N U 4 E N S X M + Y 8 a y p W 4 y F U 2 a f j 2 D F s V e P c P N v e z i l 6 0 M X d x K 8 a K L X y A + 7 O J D x C d d f I L 4 o I s P W p m 7 + A j x p I s n i E + 7 + B T x e R e f / 8 c C a 3 k 6 3 1 C V u E 8 U 0 4 o I n 8 A v s w u f i l / X 6 e M 6 1 3 W L M c 6 P 6 N S i 5 4 i e o w K I T i x 6 g + g N v l m g u s 3 3 T D M f k G a 9 x h q 3 i v Y d H U 3 7 j l b V v b 5 j D z u j f S n t u 1 Y c t 1 v r w y 5 u i 3 r Q x e 0 8 u 1 1 s j h N 8 S I / u f j Y v G x c 7 2 6 O n 2 9 / / + H T j 2 V 7 z S f 3 A + c p Z d 5 4 4 I + c 7 5 5 l z 6 E y c c 8 d z f n F + d X 5 z f h / 8 M X g 3 + H P w V x 1 6 / 1 6 T 8 4 X T u w Z / / w N M b 3 r U < / l a t e x i t > y3 < l a t e x i t s h a 1 _ b a s e 6 4 = " + Z E 9 V J W A 0 / v P 3 i R A L A 4 k 0 L W s g n Y = " > A A A M M X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H d L Z U Q F 0 h N N m 0 S K Y q W N E m r s i U a e 8 f 2 E N v j z I y z 6 1 h + B 2 7 h N X i a 3 i F u e Q n O 2 J 5 j O 7 s g L C U + / p 1 z 5 u N / z n j t p h F X e j h 8 d + f u e + 9 / 8 O F H 9 + 6 v D T 7 + 5 N P P H j z 8 / F y J T H r s z B O R k K 9 d q l j E E 3 a m u Y 7 Y 6 1 Q y G r s R e + V e x < l a t e x i t s h a 1 _ b a s e 6 4 = " v h H S B t / e H / o l X B M G x Z 6 V P o u z v 4 s = " > A A A M L 3 i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O k m B q W l J M I S K Z O U d 9 e C X 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o j 1 M X X L 5 t I 8 M V z J e V s N y I y Y s M H s t u 4 A l C d U g R r / K z y O 7 Q m 5 s R O 1 n O k 4 E d V C Z x I W O C M 2 S h M u C K 1 H 6 S U s q v N W r q 1 t b m 6 S i Z I y h E m c B m a Z s C J L K B e l b X J r k B + a k m + R G Q u 5 4 H b f A J V M q V i b C j Z v k g s 4 E 5 n U l b 8 s J p 2 H X l Q 7 S F n s t X Y v p r m X x W l j 9 L w J S 1 N a F k f V r e c J p J I J C L o s i z G a v Q g 4 6 H m a 1 b P v t H Z / F N g 2 z D 2 u b r V O M r N F k Q q k g v X b P 1 F M t 6 a u M 6 d b Z e 2 g K k o 5 u G w X y 6 y + 6 x C K F E 2 3 w F G W n T i 6 + J c 4 u s C 4 h K c r Q c D A D + U B g 5 s 6 7 r Z J 6 / l I E 3 D L b P V E T Y D O s 5 U A Y L g S L s I V P z D 0 Q / E X 6 L A P u A U Z t U u X k c P X T C E G 2 + G Q t 6 O A 7 f B M h 4 i n 0 I i O 7 4 n x 8 T H V p i i m h i 1 M U T 2 X 7 6 a A y q Z 0 A Z x S Q + E V X G c c W S W K o / N 2 O M P F k t R a N C m 9 V 1 x V L j + F G e A f x f 3 6 D v m I A o c C R M w h h i h 2 K E a k H d K I F g 6 1 v 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m u L r h E l F r V d m l m U I T q 2 6 B j R j U U 3 i O Y W z R G J m A U o Y / 2 E P j h 4 u v V V T 2 W n T 4 S h 8 D e 0 b N f G 7 m L Y v k X 7 i I 4 s O l p V W D K H X w U C f c I k X 6 D m d S t V s t s m s k K j K + + 7 b j u u 2 3 7 r L U 0 X U o 1 T g Q 1 J c z 5 j x r K l b j I V T Z p + P Y c W x V 4 9 x 8 2 d d f F Z K 0 M X t 1 K 8 6 O I X i A + 7 + B D x S R e f I D 7 o 4 o N W 5 i 4 + Q j z p 4 g n i 0 y 4 + R X z R x R f / s c B a n s 4 3 V C X u E 8 W 0 I s I n 8 M v s w n f i 1 3 X 6 u M 5 1 3 W K M 8 y M 6 t e g 5 o u e o A K I T i 9 4 g e o N v F q h u 8 z 3 T z A e k W a + x x q 2 i f U d H 0 7 6 j V X W v 7 9 j D z m h f S v u u F c f t 1 v q w i 9 u i H n R x O 8 9 u F 5 v j B B / S o 7 u f z c v G y 5 3 t 0 d P t 7 3 9 8 u v F s r / m k f u B 8 5 a w 7 T 5 y R 8 5 3 z z D l 0 J s 6 F 4 z m B 8 7 P z i / P r 4 L f B 7 4 M / B 3 / V o f f v N T l f O L 1 r 8 P c / U a J 5 f Q = = < / l a t e x i t > O t U M h q 7 E X v l X k 6 M / 9 U 1 k 4 q L 5 E z n K X s b 0 y D h P v e o N m i W u / H F g 8 3 R z q i 6 y K o x b o x N p 7 m m F w + H X 8 7 m w s t i l m g v o k r 9 N B 6 l + m 1 B p e Z e x M r B L F M s p d 4 l D V j h C n G p q a t K U l 9 b J J X C Z 8 q s i E b f X G U 0 4 j o n E B I x 1 c u k s f J F o j u Z b g Q u V 1 A 5 J z H V I V F 5 7 I p o J c t g m w R Z 1 1 Q m Q o c 8 C X q B C f e Y L 6 n X D u + J G J z a D k t 8 I c n 4 2 8 f b h G l v p 5 c b c 0 8 K I 2 d p c y 0 R g a R p m P c l i M v 7 c G 0 R r m G z H o H B 5 7 0 A j 2 t W V h G B F F l K 4 L k q T 3 9 n 1 c j c W 5 Y m 0 O d B J m 8 J Z j T R A l Z e R 8 D q N 0 y D J O z q a q O v U R Q I y X U I i y 4 h E h / V + q j y t s C G V c v V I R O S 3 c p j S R b D h u J q F V q Q k F 4 z E j G t m S T G x + S a z c V Z p L k U i 7 Y a k B m w x A S z d d 0 B K I u o B D X + V 3 g Y m h N y a y c y n 6 s w S q q F z g U s c E 5 M l C I 8 I b Q e p Z e w r M 5 b O R h s b W 2 R q R T C h 0 m s B j q P W J F G l C e l a X J j k B + a k m + T O f N 5 w s 2 + A U o R 0 2 Q w S 9 i i S S 7 g T K R C V f 6 y m H Y e e l H t I G W x 3 9 q 9 m O Z e F m e N 0 f N G L I 5 p W R x X t 5 7 H E 1 J E I G h e F h M 0 e x F w 0 L M 4 r W f f b e 3 + K L B t m H t S 3 W q d R G q K I i R I B e s 3 f 0 k x 2 5 7 Z z p V o s S i t k s z i z J E x x Y d I 7 q 2 6 B r R w q I F I h G z A G W s n 9 A H B 0 + 3 v u q p 7 P S J M B T + R p b t 2 t h d D N u 3 a B / R k U V H 6 w p L F v C r Q K B P m O R L 1 L x u p U p 2 2 0 R W a H T l f d d N x 3 X T b 7 2 V 6 U K q c S q w I W n B 5 8 x Y t t R N p q J J 0 6 9 n 0 K L Y q 2 e 4 u R d d / K K V o Y t b K Z 5 3 8 X P E h 1 1 8 i P i k i 0 8 Q H 3 T x Q S t z F x 8 h n n b x F P F p F 5 8 i P u / i 8 / 9 Y Y C 1 P 5 x u q E v e R Y l o R 4 R P 4 Z X b h Q / H r O n 1 S 5 7 p u M c H 5 E Z 1 a 9 A z R M 1 Q A 0 Y l F b x C 9 w T c L V L f 5 n m n m A 9 K s 1 1 i T V t G + o 6 N p 3 9 G q u t d 3 7 G F n t C + l f d e K 4 3 Z r f d j F b V E P u r i d Z 7 e L z X G C D + n x 7 c / m V e P l 4 5 3 x k 5 3 v f 3 y y + X S v + a S + 5 3 z l b D i P n L H z n f P U O X S m z r n j O a H z s / O L 8 + v w t + H v w z + H f 9 W h d + 8 0 O V 8 4 v W v 4 9 z 8 9 u X o v < / l a t e x i t > { < l a t e x i t s h a 1 _ b a s e 6 4 = " L L E K 5 X g X i l B M S F b V Z z v Q S t t a / / w = " > A A A M L X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s R k i I C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R l n d 2 P 5 D b i F 1 + B p u E B C 3 P I a n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P e / X f e f e / 9 D x 4 8 X B t 8 + N H H n z x 6 / O l L L X M V s P N A J l K 9 9 q l m C R f s 3 H C T s N e Z Y j T 1 E / b K v x x b / 6 t r p j S X 4 s w s M / Y 2 p Z H g I Q + o A X Q 6 L S 4 e b Q y 3 h 9 V F V o 1 R Y 2 x 4 z T W 5 e D z 4 f D q T Q Z 4 y Y Y K E a v 3 j a J i Z t w V V h g c J K 9 e m u W Y Z D S 5 p x A p f y k t D f V 2 S + t o k m Z I h 0 3 Y 9 N P n q K q c J N 0 s C I Q n T v U y a 6 l A K 0 8 n 0 E 3 D 5 k q o Z S a m J i V 6 m v k x W s i x 2 S Z B 1 T Z W Q J u Y i 6 g U K H r B Q 0 a A d P p A p O I 0 b l o R S k d H X O 1 u E m W C 7 l 5 v y Q E k r Z u l y H Z G R o l m 8 7 E u Q l g / h 2 i T c w G Y D A o P P e g E B N 6 y s I i I l 8 4 z A c 1 W c / s 6 q k X m w K G 1 g y K N c 3 R L M a m I k r L y O g N W v 2 / Y Q 7 O p q v a 9 R E k n F T Q y L L i E S H / X d U e V t g S 2 r l m t i J h W 7 l c d E n s K G 0 m o V R p K Y X j O S M G O Y I t b H 1 B 2 b S / P E c C X n b T U g M 2 L C B r O 7 u g N Q n l A F a v y v 8 D i 2 5 + P W T t R y p u N E V A u d S V j g j N g o T b g g t B 6 l l 7 C o T l u 5 t r a 5 u U k m S s o Q J n E a m G X C i i y h X J S 2 y a 1 B v m 9 K v k V m L O S C 2 3 0 D V D K l Y m 0 q 2 L x J L u B M Z F J X / r K Y d B 5 6 U e 0 g Z b H f 2 r 2 Y 5 l 4 W Z 4 3 R 8 y Y s T W l Z H F e 3 n i e Q S i Y g 6 L I s x m j 2 I u C g 5 2 l W z 7 7 b 2 v 1 R Y N s w 9 7 i 6 1 T r J z B Z F K p A K 1 m / / R D H d m r r O n G 6 V t Y O q K O X g s l 0 s s / q u Q y h S N N 0 C R 1 l 2 4 u j i X + L o A u M S n q 4 E A Q M / l A c M b u q 4 u y a t 5 y N N w B 2 z 1 R M 1 A T r P V g K A 4 U q 4 C F f 8 w N A P x V + g w z 7 g F m T U L l 1 G D t 8 w h R h s h 0 P e j g K 2 w z M d I p 5 C I z q + L 8 Y n J 1 S b o p g a t j B F 9 V z + N A V U N q U L 4 J Q a C q / g O u P Y K l E c X 7 T D G S 6 W p N a i S e m 9 4 q p y + S n M A P 8 o 7 t d 3 y E c U O B Q g Y g 4 x R L F D M S L t k E a 0 c K j t h c i h C N H S o S W i G 4 d u E C m H F K I r h 6 4 Q C Y f a L s 0 d y h E d O 3 S M 6 N q h a 0 R z h + a I Z M o i l L F + Q h 8 c P N P 6 q q e y 0 y f S U v g b O r b r Y n c x b N + h f U R H D h 3 d V V g y h 1 8 F A n 3 C F F + g 5 n U r V b K 7 J n J C o 2 v Z d 9 1 0 X D f 9 1 l u Z L q Y G p w I b k u Z 8 x q z l S t 1 k a i q a f j 2 D F s V e P c P N v e j i F 6 0 M X d x K 8 b y L n y M + 7 O J D x C d d f I L 4 o I s P W p m 7 + A j x p I s n i E + 7 + B T x e R e f / 8 c C a 3 k 6 3 1 C V u E 8 0 M 5 r I k M A v s w + f i V / W 6 e M 6 1 / e L M c 6 P 6 N S h Z 4 i e o Q K I T h x 6 g + g N v l m g u s 3 3 T D M f k G a 9 1 h q 3 i v Y d H U 3 7 j l b V v b 5 j D z u j f S n t + 0 4 c v 1 v r w y 5 u i 3 r Q x e 0 8 u 1 1 s j x N 8 S I 9 u f z a v G i 9 3 t k f f b H / 3 w 8 7 G 0 7 3 m k / q B 9 4 W 3 7 j 3 x R t 6 3 3 l P v 0 J t 4 5 1 7 g h d 7 P 3 i / e r 4 P f B r 8 P / h z 8 V Y f e v 9 f k f O b 1 r s H f / w B s + X l M < / l a t e x i t > x2 < l a t e x i t s h a 1 _ b a s e 6 4 = " u V o S k j I + 4 Y o f A + A h U 7 / E H / C y Z d k = " > A A A M M X i c j Z b d T t x G F M e d 9 C t h + 5 G 0 6 l V v R i C k V K J 0 F 0 W q e l E p s C S A h N C W A I l S p 2 j s H d t T b I + Z G b O 7 W H 6 H 3 r a v 0 a f J X d X b v k T P 2 J 5 j m 9 1 W t Q Q + / p 1 z 5 u N / z n j t Z T F X e j h 8 d + / + e + 9 / 8 O F H D x 6 u D T 7 + 5 N P P H j 3 + / E K J X P r s 3 B e x k K 8 9 q l j M U 3 a u u Y 7 Z 6 0 w y m n g x e + V d j Y 3 / 1 Q 2 T i o v 0 T C 8 y 9 j a h Y c o D 7 l M N 6 M K d e 8 n l z u W j j e H 2 s L r I s j F q j A 2 n u S a X j w d f u l P h 5 w l L t R 9 T p X 4 a D T P 9 t q B S c z 9 m 5 Z q b K 5 Z R / 4 q G r P C E u N L U U y W p r 0 2 S S R E w Z d Z E 4 2 + u c x p z v S A Q E j P V y 6 S J C k S q O 5 l e D C 5 P U D k l C d U R U Y v E E / F S l s E 2 C b J u q E y F j n g a 9 g J T 7 r N A U r 8 d 3 h c J O L U d l g R C k t G 3 O 1 u E a X + 7 l 5 t w X w o j a G l z L R G h p F m 0 6 E u Q l A / h 2 i R c w 2 Z 9 A o N P e w E + 1 6 y s I k I p 8 o z A c 1 W g / s 6 q k b k / L 0 1 g w M N c 3 h H M a K I F r L y O g N W v m x Z J 2 f X 1 e l + j O B S S 6 w g W X U I k P q r V U e V d g Q 2 r l q s j J i S 7 k 8 f S P I E N J d U q t C A R v W E k Z l o z S Y y P y R W b S / J Y c y l m b T U g M 2 S p C W a r u g N Q H l M J a v y v 8 C g y Z + T O T u R i q q I 4 r R Y 6 F b D A K T F R i v C U 0 H q U X s K 8 O n H l 2 t r m 5 i a Z S C E C m M R q o B c x K 7 K Y 8 r Q 0 T W 4 M 8 k N T 8 i 0 y Z Q F P u d k 3 Q C k S m q 6 5 K Z s 1 y Q W c i U y o y l 8 W k 8 5 D L 6 o d p C z 2 W 7 s X 0 9 z L 4 q w x e t 6 Y J Q k t i + P q 1 v P 4 Q o o Y B F 2 U x R j N X g Q c 9 D z J 6 t l 3 W 7 s / C m w b 5 h 5 X t 1 o n k Z m i C A l S w f r N X 1 q 4 W 6 7 t T H e r r B 1 U h g k H l + l i k d V 3 F U C R Q n c L H G X Z i a P z f 4 m j c 4 y L e b I U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S r P l g K A 4 U p 4 G i z 5 g a E f i j 9 H h 3 n A L Y i w X b o I L b 5 l E j H Y F g e 8 H Q V s i 6 c q Q O x C I 1 q + n 4 5 P T q j S R e F q N t d F 9 V z + 7 A I q m 9 L 5 c E o 1 h V d w n X F s l C i O L 9 v h N E 8 X p N a i S e m 9 4 q p y e Q n M A P 8 o 7 t e z y E P k W + Q j Y h Y x R J F F E S J l k U I 0 t 6 j t h d C i E N H C o g W i W 4 t u E U m L J K J r i 6 4 R p R a 1 X Z p b l C M 6 t u g Y 0 Y 1 F N 4 h m F s 0 Q i Y S F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z X x u 5 i 2 L 5 F + 4 i O L D p a V V g y g 1 8 F A n 3 C J J + j 5 n U r V b L b J r J C o 2 v R d 9 1 2 X L f 9 1 l u a L q I a p w I b k m Z 8 y o x l S 9 1 k K p o 2 / X o G L Y q 9 e o a b e 9 n F L 1 s Z u r i V 4 k U X v 0 B 8 2 M W H i E + 6 + A T x Q R c f t D J 3 8 R H i S R d P E J 9 2 8 S n i 8 y 4 + / 4 8 F 1 v J 0 v q E q c Z 8 o p h U R A Y F f Z g 8 + F b + u 0 8 d 1 r u c V Y 5 w f 0 a l F z x E 9 R w U Q n V j 0 B t E b f L N A d Z v v m W Y + I M 1 6 j T V u F e 0 7 O p r 2 H a 2 q e 3 3 H H n Z G + 1 L a 9 6 w 4 X r f W h 1 3 c F v W g i 9 t 5 d r v Y H C f 4 k B 7 d / W x e N i 5 2 t k d P t 7 / / 8 e n G s 7 3 m k / q B 8 5 W z 7 j x x R s 5 3 z j P n 0 J k 4 5 4 7 v / O L 8 6 v z m / D 7 4 Y / B u 8 O f g r z r 0 / r 0 m 5 w u n d w 3 + / g d A o 3 r T < / l a t e x i t >

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< l a t e x i t s h a 1 _ b a s e 6 4 = " P d x 5 M w e 0 m 4 x 5 n t I  0 P C N a N 3 h W A 4 g = " > A A A M M X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H d L Z U Q F 0 h N N m 0 S K Y q W N E m r 4 h K N v W N 7 i O 1 x Z s b Z 3 V h + B 2 7 h N X i a 3 i F u e Q n O M l f p p N M z 0 2 4 J K z f 2 Y l W t u r l h G / U s a s s I T 4 l J T T 5 W k v j Z J J k X A l F k T j b + 5 y m n M 9 Y J A S M x U L 5 M m K h C p 7 m R 6 M b g 8 Q e W U J F R H R C 0 S T 8 R L W Q b b J M i 6 p j I V O u J p 2 A t M u c 8 C S f 1 2 e F 8 k 4 N R 2 W B I I S U a P n 2 w R p v 3 t X m 7 C f S m M o K X N t U S E k m b R o i 9 B U t 6 H a 5 N w D Z v 1 C Q w + 7 Q X 4 X L O y i g i l y D M C z 1 W B + j u r R u b + v D S B A Q 9 z e U s w o 4 k W s P I 6 A l a / b l o k Z V d X 6 3 2 N 4 l B I r i N Y d A m R + K h W R 5 W 3 B T a s W q 6 O m J D s V h 5 L 8 w Q 2 l F S r 0 I J E 9 J q R m G n N J D E + J l d s L s l j z a W Y t d W A z J C l J p i t 6 g 5 A e U w l q P G / w q P I n J F b O 5 G L q Y r i t F r o V M A C p 8 R E K c J T Q u t R e g n z 6 s S V a 2 u b m 5 t k I o U I Y B K r g V 7 E r M h i y t P S N L k x y A 9 N y b f I l A U 8 5 W b f A K V I a L r m p m z W J B d w J j K h K n 9 Z T D o P v a h 2 k L L Y a + 1 e T H M v i 9 P G 6 H l j l i S 0 L I 6 q W 8 / j C y l i E H R R F m M 0 e x F w 0 P M k q 2 f f a e 3 + K L B t m H t c 3 W q d R G a K I i R I B e s 3 f 2 n h b r m 2 M 9 2 t s n Z Q G S Y c X K a L R V b f V Q B F C t 0 t c J R l J 4 7 O / y W O z j E u 5 s l S E D D w Q 3 n A 4 L q O W z V p P R 9 p A l b M V k / U B K g 8 W w o A h i v h a b D k B 4 Z + K P 4 c H e Y B t y D C d u k i t P i G S c R g W x z w d h S w L Z 6 q A L E L j W j 5 X j o + P q Z K F 4 W r 2 V w X 1 X P 5 s w u o b E r n w y n V F F 7 B d c a R U a I 4 u m i H 0 z x d k F q L J q X 3 i q v K 5 S U w A / y j u F / P I g + R b 5 G P i F n E E E U W R Y i U R Q r R 3 K K 2 F 0 K L Q k Q L i x a I b i y 6 Q S Q t k o i u L L p C l F r U d m l u U Y 7 o y K I j R N c W X S O a W T R D J B I W o o z 1 E / r g 4 O n W V z 2 V n T 4 R h s L f 0 L I d G 7 u D Y X s W 7 S E 6 t O h w V W H J D H 4 V C P Q J k 3 y O m t e t V M l u m 8 g K j a 5 F 3 3 X T c d 3 0 W 2 9 p u o h q n A p s S J r x K T O W L X W T q W j a 9 O s p t C j 2 6 i l u 7 m U X v 2 x l 6 O J W i h d d / A L x Q R c f I D 7 u 4 m P E + 1 2 8 3 8 r c x Y e I J 1 0 8 Q X z S x S e I z 7 r 4 7 D 8 W W M v T + Y a q x H 2 k m F Z E B A R + m T 3 4 V P y 6 T h / X u Z 5 X j H F + R C c W P U f 0 H B V A d G z R G 0 R v 8 M 0 C 1 W 2 + Z 5 r 5 g D T r N d a 4 V b T v 6 G j a d 7 S q 7 v Y d u 9 g Z 7 U t p z 7 P i e N 1 a H 3 R x W 9 T 9 L m 7 n 2 e l i c 5 z g Q 3 p 0 + 7 N 5 2 T h / s j 1 6 u v 3 9 j 0 8 3 n u 0 2 n 9 T 3 n K + c d e e R M 3 K + c 5 4 5 B 8 7 E O X N 8 5 x f n V + c 3 5 / f B H 4 N 3 g z 8 H f 9 W h d + 8 0 O V 8 4 v W v w 9 z 9 M a 3 r U < / l a t e x i t >

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< l a t e x i t s h a 1 _ b a s e 6 4 = " H z p U J a D k t J R s n t X x s 6 A f  h P d s R 8 Y = " > A A A M M X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H d r Y o Q F 0 h N N m 0 S K Y q W N E m r 4 h K N v W N 7 i O 1 x Z s b Z 3 V h + B 2 7 h N X i a 3 i F u e Q n O M l f p p N M z 0 2 4 J K z f 2 Y l W t u r l h G / U s a s s I T 4 l J T T 5 W k v j Z J J k X A l F k T j b + 5 y m n M 9 Y J A S M x U L 5 M m K h C p 7 m R 6 M b g 8 Q e W U J F R H R C 0 S T 8 R L W Q b b J M i 6 p j I V O u J p 2 A t M u c 8 C S f 1 2 e F 8 k 4 N R 2 W B I I S U a P n 2 w R p v 3 t X m 7 C f S m M o K X N t U S E k m b R o i 9 B U t 6 H a 5 N w D Z v 1 C Q w + 7 Q X 4 X L O y i g i l y D M C z 1 W B + j u r R u b + v D S B A Q 9 z e U s w o 4 k W s P I 6 A l a / b l o k Z V d X 6 3 2 N 4 l B I r i N Y d A m R + K h W R 5 W 3 B T a s W q 6 O m J D s V h 5 L 8 w Q 2 l F S r 0 I J E 9 J q R m G n N J D E + J l d s L s l j z a W Y t d W A z J C l J p i t 6 g 5 A e U w l q P G / w q P I n J F b O 5 G L q Y r i t F r o V M A C p 8 R E K c J T Q u t R e g n z 6 s S V a 2 u b m 5 t k I o U I Y B K r g V 7 E r M h i y t P S N L k x y A 9 N y b f I l A U 8 5 W b f A K V I a L r m p m z W J B d w J j K h K n 9 Z T D o P v a h 2 k L L Y a + 1 e T H M v i 9 P G 6 H l j l i S 0 L I 6 q W 8 / j C y l i E H R R F m M 0 e x F w 0 P M k q 2 f f a e 3 + K L B t m H t c 3 W q d R G a K I i R I B e s 3 f 2 n h b r m 2 M 9 2 t s n Z Q G S Y c X K a L R V b f V Q B F C t 0 t c J R l J 4 7 O / y W O z j E u 5 s l S E D D w Q 3 n A 4 L q O W z V p P R 9 p A l b M V k / U B K g 8 W w o A h i v h a b D k B 4 Z + K P 4 c H e Y B t y D C d u k i t P i G S c R g W x z w d h S w L Z 6 q A L E L j W j 5 X j o + P q Z K F 4 W r 2 V w X 1 X P 5 s w u o b E r n w y n V F F 7 B d c a R U a I 4 u m i H 0 z x d k F q L J q X 3 i q v K 5 S U w A / y j u F / P I g + R b 5 G P i F n E E E U W R Y i U R Q r R 3 K K 2 F 0 K L Q k Q L i x a I b i y 6 Q S Q t k o i u L L p C l F r U d m l u U Y 7 o y K I j R N c W X S O a W T R D J B I W o o z 1 E / r g 4 O n W V z 2 V n T 4 R h s L f 0 L I d G 7 u D Y X s W 7 S E 6 t O h w V W H J D H 4 V C P Q J k 3 y O m t e t V M l u m 8 g K j a 5 F 3 3 X T c d 3 0 W 2 9 p u o h q n A p s S J r x K T O W L X W T q W j a 9 O s p t C j 2 6 i l u 7 m U X v 2 x l 6 O J W i h d d / A L x Q R c f I D 7 u 4 m P E + 1 2 8 3 8 r c x Y e I J 1 0 8 Q X z S x S e I z 7 r 4 7 D 8 W W M v T + Y a q x H 2 k m F Z E B A R + m T 3 4 V P y 6 T h / X u Z 5 X j H F + R C c W P U f 0 H B V A d G z R G 0 R v 8 M 0 C 1 W 2 + Z 5 r 5 g D T r N d a 4 V b T v 6 G j a d 7 S q 7 v Y d u 9 g Z 7 U t p z 7 P i e N 1 a H 3 R x W 9 T 9 L m 7 n 2 e l i c 5 z g Q 3 p 0 + 7 N 5 2 T h / s j 1 6 u v 3 9 j 0 8 3 n u 0 2 n 9 T 3 n K + c d e e R M 3 K + c 5 4 5 B 8 7 E O X N 8 5 x f n V + c 3 5 / f B H 4 N 3 g z 8 H f 9 W h d + 8 0 O V 8 4 v W v w 9 z 9 j + 3 r W < / l a t e x i t > k0 < l a t e x i t s h a 1 _ b a s e 6 4 = " j 6 L 4 w f S V i n E i 7 + n W J u d i g 8 t B q 1 4 = " > A A A M L n i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O k m B q W l J M I S K Z O U d 9 e C H q H X 9 j X 6 N A V 6 K H r t Y 3 Q o i S P J 6 x Y V Y G v 0 m x l + / G e o l Z 8 l X J v h 8 I 8 7 d 9 9 7 / 4 M P P 7 p 3 f 2 3 w 8 S e f f v b g 4 e c v t c x V w M 4 C m U j 1 2 q e a J V y w M 8 N N w l 5 n i t H U T 9 g r / 2 J s / a + u m N J c i l O z z N j b l E a C h z y g B t C L i / P h + Y O N 4 f a w u s i q M W q M D a + 5 J u c P B 1 9 O Z z L I U y Z M k F C t f x o N M / O 2 o M r w I G H l 2 j T X L K P B B Y 1 Y 4 U t 5 Y a i v S 1 J f m y R T M m T a L o g m 3 1 z m N O F m S S A k Y b q X S V M d S m E 6 m X 4 C L l 9 S N S M p N T H R y 9 S X y U q W x S 4 J s q 6 o E t L E X E S 9 Q M E D F i o a t M M H M g W n c c O S U C o y + v b x F m E m 2 O 7 l p j x Q 0 q p Z u l x H Z K R o F i / 7 E q T l f b g 2 C T e w 2 Y D A 4 L N e Q M A N K 6 u I S M k 8 I / B c V a e / s 2 p k H i x K G x j y K F c 3 B L O a G A k r r y N g 9 e u 2 P w S 7 v F z v a 5 R E U n E T w 6 J L i M R H f X t U e V N g y 6 r l m p h J x W 7 k M Z G n s K G 0 W o W R J K Z X j C T M G K a I 9 T F 1 y + b S P D F c y X l b D c i M m L D B 7 L b u A J Q n V I E a / y s 8 j u 0 B u b E T t Z z p O B H V Q m c S F j g j N k o T L g i t R + k l L K r j V q 6 t b W 5 u k o m S M o R J n A Z m m b A i S y g X p W 1 y a 5 A f m p J v k R k L u e B 2 3 w C V T K l Y m w o 2 b 5 I L O B O Z 1 J W / L C a d h 1 5 U O 0 h Z 7 L V 2 L 6 a 5 l 8 V p Y / S 8 C U t T W h Z H 1 a 3 n C a S S C Q i 6 L I s x m r 0 I O O h 5 m t W z 7 7 R 2 f x T Y N s w 9 r m 6 1 T j K z R Z E K p I L 1 2 z 9 R T L e m r j O n W 2 X t o C p K O b h s F 8 u s v u s Q i h R N t 8 B R l p 0 4 u v i X O L r A u I S n K 0 H A w A / l A Y O b O u 6 2 S e v 5 S B N w y 2 z 1 R E 2 A z r O V A G C 4 E i 7 C F T 8 w 9 E P x F + i w D 7 g F G b V L l 5 H D 1 0 w h B t v h k L e j g O 3 w T I e I p 9 C I j u + J 8 f E x 1 a Y o p o Y t T F E 9 l + + m g M q m d A G c U k P h F V x n H F k l i q P z d j j D x Z L U W j Q p v V d c V S 4 / h R n g H 8 X 9 + g 7 5 i A K H A k T M I Y Y o d i h G p B 3 S i B Y O t b 0 Q O R Q h W j q 0 R H T t 0 D U i 5 Z B C d O n Q J S L h U N u l u U M 5 o i O H j h B d O X S F a O 7 Q H J F M W Y Q y 1 k / o g 4 N n W l / 1 V H b 6 R F o K f 0 P H d l z s D o b t O b S H 6 N C h w 9 s K S + b w q 0 C g T 5 j i C 9 S 8 b q V K d t d E T m h 0 L f u u 6 4 7 r u t 9 6 K 9 P F 1 O B U Y E P S n M + Y t V y p m 0 x N R d O v p 9 C i 2 K u n u L k X X f y i l a G L W y m e d / F z x A d d f I D 4 u I u P E e 9 3 8 X 4 r c x c f I p 5 0 8 Q T x S R e f I D 7 r 4 r P / W G A t T + c b q h L 3 k W Z G E x k S + G X 2 4 T v x 6 z p 9 X O f 6 f j H G + R G d O P Q M 0 T N U A N G x Q 2 8 Q v c E 3 C 1 S 3 + Z 5 p 5 g P S r N d a 4 1 b R v q O j a d / R q r r b d + x i Z 7 Q v p T 3 f i e N 3 a 3 3 Q x W 1 R 9 7 u 4 n W e n i + 1 x g g / p 0 c 3 P 5 l X j 5 e P t 0 Z P t 7 3 9 8 s v F 0 t / m k v u d 9 5 a 1 7 j 7 y R 9 5 3 3 1 D v w J t 6 Z F 3 i R 9 7 P 3 i / f r 4 L f B 7 4 M / B 3 / V o X f v N D l f e L 1 r 8 P c / O h J 5 e w = = < / l a t e x i t > k1 < l a t e x i t s h a 1 _ b a s e 6 4 = " p a r 4 5 a y x 0 Q 4 9 k z S X h v Z t B D P U 3 h s = " > A A A M L n i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O k m B q W l J M I S K Z O U d 9 e C H q H X 9 j X 6 N A V 6 K H r t Y 3 Q o i S P J 6 x Y V Y G v 0 m x l + / G e o l Z 8 l X J v h 8 I 8 7 d 9 9 7 / 4 M P P 7 p 3 f 2 3 w 8 S e f f v b g 4 e c v t c x V w M 4 C m U j 1 2 q e a J V y w M 8 N N w l 5 n i t H U T 9 g r / 2 J s / a + u m N J c i l O z z N j b l E a C h z y g B t C L i / P R + Y O N 4 f a w u s i q M W q M D a + 5 J u c P B 1 9 O Z z L I U y Z M k F C t f x o N M / O 2 o M r w I G H l 2 j T X L K P B B Y 1 Y 4 U t 5 Y a i v S 1 J f m y R T M m T a L o g m 3 1 z m N O F m S S A k Y b q X S V M d S m E 6 m X 4 C L l 9 S N S M p N T H R y 9 S X y U q W x S 4 J s q 6 o E t L E X E S 9 Q M E D F i o a t M M H M g W n c c O S U C o y + v b x F m E m 2 O 7 l p j x Q 0 q p Z u l x H Z K R o F i / 7 E q T l f b g 2 C T e w 2 Y D A 4 L N e Q M A N K 6 u I S M k 8 I / B c V a e / s 2 p k H i x K G x j y K F c 3 B L O a G A k r r y N g 9 e u 2 P w S 7 v F z v a 5 R E U n E T w 6 J L i M R H f X t U e V N g y 6 r l m p h J x W 7 k M Z G n s K G 0 W o W R J K Z X j C T M G K a I 9 T F 1 y + b S P D F c y X l b D c i M m L D B 7 L b u A J Q n V I E a / y s 8 j u 0 B u b E T t Z z p O B H V Q m c S F j g j N k o T L g i t R + k l L K r j V q 6 t b W 5 u k o m S M o R J n A Z m m b A i S y g X p W 1 y a 5 A f m p J v k R k L u e B 2 3 w C V T K l Y m w o 2 b 5 I L O B O Z 1 J W / L C a d h 1 5 U O 0 h Z 7 L V 2 L 6 a 5 l 8 V p Y / S 8 C U t T W h Z H 1 a 3 n C a S S C Q i 6 L I s x m r 0 I O O h 5 m t W z 7 7 R 2 f x T Y N s w 9 r m 6 1 T j K z R Z E K p I L 1 2 z 9 R T L e m r j O n W 2 X t o C p K O b h s F 8 u s v u s Q i h R N t 8 B R l p 0 4 u v i X O L r A u I S n K 0 H A w A / l A Y O b O u 6 2 S e v 5 S B N w y 2 z 1 R E 2 A z r O V A G C 4 E i 7 C F T 8 w 9 E P x F + i w D 7 g F G b V L l 5 H D 1 0 w h B t v h k L e j g O 3 w T I e I p 9 C I j u + J 8 f E x 1 a Y o p o Y t T F E 9 l + + m g M q m d A G c U k P h F V x n H F k l i q P z d j j D x Z L U W j Q p v V d c V S 4 / h R n g H 8 X 9 + g 7 5 i A K H A k T M I Y Y o d i h G p B 3 S i B Y O t b 0 Q O R Q h W j q 0 R H T t 0 D U i 5 Z B C d O n Q J S L h U N u l u U M 5 o i O H j h B d O X S F a O 7 Q H J F M W Y Q y 1 k / o g 4 N n W l / 1 V H b 6 R F o K f 0 P H d l z s D o b t O b S H 6 N C h w 9 s K S + b w q 0 C g T 5 j i C 9 S 8 b q V K d t d E T m h 0 L f u u 6 4 7 r u t 9 6 K 9 P F 1 O B U Y E P S n M + Y t V y p m 0 x N R d O v p 9 C i 2 K u n u L k X X f y i l a G L W y m e d / F z x A d d f I D 4 u I u P E e 9 3 8 X 4 r c x c f I p 5 0 8 Q T x S R e f I D 7 r 4 r P / W G A t T + c b q h L 3 k W Z G E x k S + G X 2 4 T v x 6 z p 9 X O f 6 f j H G + R G d O P Q M 0 T N U A N G x Q 2 8 Q v c E 3 C 1 S 3 + Z 5 p 5 g P S r N d a 4 1 b R v q O j a d / R q r r b d + x i Z 7 Q v p T 3 f i e N 3 a 3 3 Q x W 1 R 9 7 u 4 n W e n i + 1 x g g / p 0 c 3 P 5 l X j 5 e P t 0 Z P t 7 3 9 8 s v F 0 t / m k v u d 9 5 a 1 7 j 7 y R 9 5 3 3 1 D v w J t 6 Z F 3 i R 9 7 P 3 i / f r 4 L f B 7 4 M / B 3 / V o X f v N D l f e L 1 r 8 P c / R d p 5 f A = = < / l a t e x i t > k2 < l a t e x i t s h a 1 _ b a s e 6 4 = " T X I 0 i v j 9 o Y M B 8 9 J 7 X h S q m w x z j l Y  = " > A A A M L n i c j Z Z b b 9 x E F M f d c m u z X F o Q T 7 y M E k U q U g i 7 U S X E A 1 K T T Z t E i q I l l 7 Y q 2 0 Z j 7 9 g e x f Y 4 M + P s O p Y / A q / w N f g 0 S D w g X v k Y n L E 9 x 3 Z 2 Q V h K f P w 7 5 8 z l f 8 5 4 7 a Y R V 3 o 4 / O P e / f f e / + D D j x 4 8 X B t 8 / M m n n z 1 6 / P l L J T L p s Q t P R E K + d q l i E U / Y h e Y 6 Y q 9 T y W j s R u y V e z U 2 / l c 3 T C o u k n O d p + x t T I O E + 9 y j G t D Z 1 e X O 5 a O N 4 f a w u s i y M W q M D a e 5 J p e P B 1 9 O Z 8 L L Y p Z o L 6 J K / T Q a p v p t Q a X m X s T K t W m m W E q 9 K x q w w h X i S l N X l a S + N k k q h c + U W R C N v r n O a M R 1 T i A k Y q q X S W P l i 0 R 3 M t 0 I X K 6 g c k Z i q k O i 8 t g V 0 V K W w T Y J s m 6 o T I Q O e R L 0 A h P u M V 9 S r x 3 e E z E 4 t R 2 W + E K S 0 b c 7 W 4 R p b 7 u X G 3 N P C q N m a X M t E Y G k a Z j 3 J Y j L h 3 B t E q 5 h s x 6 B w W e 9 A I 9 r V l Y R g R R Z S u C 5 q k 5 / Z 9 X I 3 F u U J t D n Q S b v C G Y 0 0 Q J W X k f A 6 t d N f y T s + n q 9 r 1 E U C M l 1 C I s u I R I f 1 e q o 8 q 7 A h l X L 1 S E T k t 3 J Y 0 k W w 4 b i a h V a k J D e M B I x r Z k k x s f k i s 3 F W a S 5 F P O 2 G p A Z s M Q E s 1 X d A S i L q A Q 1 / l d 4 G J o D c m c n M p + p M E q q h c 4 E L H B G T J Q i P C G 0 H q W X s K i O W 7 m 2 t r m 5 S S Z S C B 8 m s R r o P G J F G l G e l K b J j U F + a E q + R W b M 5 w k 3 + w Y o R U y T t W n C 5 k 1 y A W c i F a + p W 6 y R S U x Q h Q S p Y v / l L i u n W 1 H b m d K u s H V Q G M Q e X 6 W K R 1 n f l Q 5 G C 6 R Y 4 y r I T R x f / E k c X G B f x e C k I G P i h P G B w X c e t m r S e j z Q B K 2 a r J 2 o C V J Y u B Q D D l f D E X / I D Q z 8 U f 4 E O 8 4 B b E E G 7 d B F Y f M s k Y r A t 9 n k 7 C t g W z 5 S P e A q N a P l + M j 4 5 o U o X x V S z h S 6 q 5 / L d F F D Z l M 6 D U 6 o p v I L r j G O j R H F 8 2 Q 6 n e Z K T W o s m p f e K q 8 r l x j A D / K O 4 X 9 c i F 5 F n k Y e I W c Q Q h R a F i J R F C t H C o r Y X A o s C R L l F O a J b i 2 4 R S Y s k o m u L r h E l F r V d m l m U I T q 2 6 B j R j U U 3 i O Y W z R G J m A U o Y / 2 E P j h 4 u v V V T 2 W n T 4 S h 8 D e 0 b N f G 7 m L Y v k X 7 i I 4 s O l p V W D K H X w U C f c I k X 6 D m d S t V s t s m s k K j K + + 7 b j u u 2 3 7 r L U 0 X U o 1 T g Q 1 J c z 5 j x r K l b j I V T Z p + P Y c W x V 4 9 x 8 2 d d f F Z K 0 M X t 1 K 8 6 O I X i A + 7 + B D x S R e f I D 7 o 4 o N W 5 i 4 + Q j z p 4 g n i 0 y 4 + R X z R x R f / s c B a n s 4 3 V C X u E 8 W 0 I s I n 8 M v s w n f i 1 3 X 6 u M 5 1 3 W K M 8 y M 6 t e g 5 o u e o A K I T i 9 4 g e o N v F q h u 8 z 3 T z A e k W a + x x q 2 i f U d H 0 7 6 j V X W v 7 9 j D z m h f S v u u F c f t 1 v q w i 9 u i H n R x O 8 9 u F 5 v j B B / S o 7 u f z c v G y 5 3 t 0 d P t 7 3 9 8 u v F s r / m k f u B 8 5 a w 7 T 5 y R 8 5 3 z z D l 0 J s 6 F 4 z m B 8 7 P z i / P r 4 L f B 7 4 M / B 3 / V o f f v N T l f O L 1 r 8 P c / U a J 5 f Q = = < / l a t e x i t > k3 < l a t e x i t s h a 1 _ b a s e 6 4 = " e s v E g Z u q r V o c a i o V x E J A 0 8 O U b F c = " > A A A M L n i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s l k q I C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R l n d 2 P 5 E b i F 1 + B p k L h A 3 P I Y n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P O 3 X f e f e / 9 D + 7 d X x t 8 + N H H n z x 4 + O l L L X M V s L N A J l K 9 9 q l m C R f s z H C T s N e Z Y j T 1 E / b K v x h b / 6 s r p j S X 4 t Q s M / Y 2 p Z H g I Q + o A f T i 4 v y b 8 w c b w + 1 h d Z F V Y 9 Q Y G 1 5 z T c 4 f D j 6 f z m S Q p 0 y Y I K F a / z g a Z u Z t Q Z X h Q c L K t W m u W U a D C x q x w p f y w l B f l 6 S + N k m m Z M i 0 X R B N v r r M a c L N k k B I w n Q v k 6 Y 6 l M J 0 M v 0 E X L 6 k a k Z S a m K i l 6 k v k 5 U s i 1 0 S Z F 1 R J a S J u Y h 6 g Y I H L F Q 0 a I c P Z A p O 4 4 Y l o V R k 9 P X j L c J M s N 3 L T X m g p F W z d L m O y E j R L F 7 2 J U j L + 3 B t E m 5 g s w G B w W e 9 g I A b V l Y R k Z J 5 R u C 5 q k 5 / Z 9 X I P F i U N j D k U a 5 u C G Y 1 M R J W X k f A 6 t d t f w h 2 e b n e 1 y i J p O I m h k W X E I m P + v a o 8 q b A l l X L N T G T i t 3 I Y y J P Y U N p t Q o j S U y v G E m Y M U w R 6 2 P q l s 2 l e W K 4 k v O 2 G p A Z M W G D 2 W 3 d A S h P q A I 1 / l d 4 H N s D c m M n a j n T c S K q h c 4 k L H B G b J Q m X B B a j 9 J L W F T H r V x b 2 9 z c J B M l Z Q i T O A 3 M M m F F l l A u S t v k 1 i D f N y X f I j M W c s H t v g E q m V K x N h V s 3 i Q X c C Y y q S t / W U w 6 D 7 2 o d p C y 2 G v t X k x z L 4 v T x u h 5 E 5 a m t C y O q l v P E 0 g l E x B 0 W R Z j N H s R c N D z N K t n 3 2 n t / i i w b Z h 7 X N 1 q n W R m i y I V S A X r t 3 + i m G 5 N X W d O t 8 r a Q V W U c n D Z L p Z Z f d c h F C m a b o G j L D t x d P E v c X S B c Q l P V 4 K A g R / K A w Y 3 d d x t k 9 b z k S b g l t n q i Z o A n W c r A c B w J V y E K 3 5 g 6 I f i L 9 B h H 3 A L M m q X L i O H r 5 l C D L b D I W 9 H A d v h m Q 4 R T 6 E R H d 8 T 4 + N j q k 1 R T A 1 b m K J 6 L n + a A i q b 0 g V w S g 2 F V 3 C d c W S V K I 7 O 2 + E M F 0 t S a 9 G k 9 F 5 x V b n 8 F G a A f x T 3 6 z v k I w o c C h A x h x i i 2 K E Y k X Z I I 1 o 4 1 P Z C 5 F C E a O n Q E t G 1 Q 9 e I l E M K 0 a V D l 4 i E Q 2 2 X 5 g 7 l i I 4 c O k J 0 5 d A V o r l D c 0 Q y Z R H K W D + h D w 6 e a X 3 V U 9 n p E 2 k p / A 0 d 2 3 G x O x i 2 5 9 A e o k O H D m 8 r L J n D r w K B P m G K L 1 D z u p U q 2 V 0 T O a H R t e y 7 r j u u 6 3 7 r r U w X U 4 N T g Q 1 J c z 5 j 1 n K l b j I 1 F U 2 / n k K L Y q + e 4 u Z e d P G L V o Y u b q V 4 3 s X P E R 9 0 8 Q H i 4 y 4 + R r z f x f u t z F 1 8 i H j S x R P E J 1 1 8 g v i s i 8 / + Y 4 G 1 P J 1 v q E r c R 5 o Z T W R I 4 J f Z h + / E L + v 0 c Z 3 r + 8 U Y 5 0 d 0 4 t A z R M 9 Q A U T H D r 1 B 9 A b f L F D d 5 n u m m Q 9 I s 1 5 r j V t F + 4 6 O p n 1 H q + p u 3 7 G L n d G + l P Z 8 J 4 7 f r f V B F 7 d F 3 e / i d p 6 d L r b H C T 6 k R z c / m 1 e N l 4 + 3 R 0 + 2 v / v h y c b T 3 e a T + p 7 3 h b f u P f J G 3 r f e U + / A m 3 h n X u B F 3 s / e L 9 6 v g 9 8 G v w / + H P x V h 9 6 9 0 + R 8 5 v W u w d / / A F 1 q e X 4 = < / l a t e x i t > k4 < l a t e x i t s h a 1 _ b a s e 6 4 = " L h w s l M k U / 2 V y 0 j C e n m B e / J 5 a c G w  = " > A A A M L n i c j Z Z b b 9 x E F M f d c m u z X F o Q T 7 y M E k U q U g i 7 V S T E A 1 K T T Z t E i q I l l 7 Y q 2 0 Z j 7 9 g e x f Y 4 M + P s O p Y / A q / w N f g 0 S D w g X v k Y n L E 9 x 3 Z 2 Q V h K f P w 7 5 8 z l f 8 5 4 7 a Y R V 3 o 4 / O P e / f f e / + D D j x 4 8 X B t 8 / M m n n z 1 6 / P l L J T L p s Q t P R E K + d q l i E U / Y h e Y 6 Y q 9 T y W j s R u y V e z U 2 / l c 3 T C o u k n O d p + x t T I O E + 9 y j G t D Z 1 e X O 5 a O N 4 f a w u s i y M W q M D a e 5 J p e P B 1 9 O Z 8 L L Y p Z o L 6 J K / T Q a p v p t Q a X m X s T K t W m m W E q 9 K x q w w h X i S l N X l a S + N k k q h c + U W R C N v r n O a M R 1 T i A k Y q q X S W P l i 0 R 3 M t 0 I X K 6 g c k Z i q k O i 8 t g V 0 V K W w T Y J s m 6 o T I Q O e R L 0 A h P u M V 9 S r x 3 e E z E 4 t R 2 W + E K S 0 b d P t w j T 3 n Y v N + a e F E b N 0 u Z a I g J J 0 z D v S x C X D + H a J F z D Z j 0 C g 8 9 6 A R 7 X r K w i A i m y l M B z V Z 3 + z q q R u b c o T a D P g 0 z e E c x o o g W s v I 6 A 1 a + b / k j Y 9 f V 6 X 6 M o E J L r E B Z d Q i Q + q t V R 5 V 2 B D a u W q 0 M m J L u T x 5 I s h g 3 F 1 S q 0 I C G 9 Y S R i W j N J j I / J F Z u L s 0 h z K e Z t N S A z Y I k J Z q u 6 A 1 A W U Q l q / K / w M D Q H 5 M 5 O Z D 5 T Y Z R U C 5 0 J W O C M m C h F e E J o P U o v Y V E d t 3 J t b X N z k 0 y k E D 5 M Y j X Q e c S K N K I 8 K U 2 T G 4 P 8 0 J R 8 i 8 y Y z x N u 9 g 1 Q i p g m a 9 O E z Z v k A s 5 E K l T l L 4 t J 5 6 E X 1 Q 5 S F v u t 3 Y t p 7 m V x 3 h g 9 b 8 T i m J b F c X X r e T w h R Q S C 5 m U x R r M X A Q c 9 i 9 N 6 9 t 3 W 7 o 8 C 2 4 a 5 x 9 W t 1 k m k p i h C g l S w f v O X F N O t q e 3 M 6 V Z Z O 6 g M Y g 4 u 0 8 U i r e / K h y I F 0 y 1 w l G U n j i 7 + J Y 4 u M C 7 i 8 V I Q M P B D e c D g u o 5 b N W k 9 H 2 k C V s x W T 9 Q E q C x d C g C G K + G J v + Q H h n 4 o / g I d 5 g G 3 I I J 2 6 S K w + J Z J x G B b 7 P N 2 F L A t n i k f 8 R Q a 0 f L 9 Z H x y Q p U u i q l m C 1 1 U z + W 7 K a C y K Z 0 H p 1 R T e A X X G c d G i e L 4 s h 1 O 8 y Q n t R Z N S u 8 V V 5 X L j W E G + E d x v 6 5 F L i L P I g 8 R s 4 g h C i 0 K E S m L F K K F R W 0 v B B Y F i H K L c k S 3 F t 0 i k h Z J R N c W X S N K L G q 7 N L M o Q 3 R s 0 T G i G 4 t u E M 0 t m i M S M Q t Q x v o J f X D w d O u r n s p O n w h D 4 W 9 o 2 a 6 N 3 c W w f Y v 2 E R 1 Z d L S q s G Q O v w o E + o R J v k D N 6 1 a q Z L d N Z I V G V 9 5 3 3 X Z c t / 3 W W 5 o u p B q n A h u S 5 n z G j G V L 3 W Q q m j T 9 e g 4 t i r 1 6 j p s 7 6 + K z V o Y u b q V 4 0 c U v E B 9 2 8 S H i k y 4 + Q X z Q x Q e t z F 1 8 h H j S x R P E p 1 1 8 i v i i i y / + Y 4 G 1 P J 1 v q E r c J 4 p p R Y R P 4 J f Z h e / E r + v 0 c Z 3 r u s U Y 5 0 d 0 a t F z R M 9 R A U Q n F r 1 B 9 A b f L F D d 5 n u m m Q 9 I s 1 5 j j V t F + 4 6 O p n 1 H q + p e 3 7 G H n d G + l P Z d K 4 7 b r f V h F Q Y 6 x B p n n f U v 5 i B h P 2 f K y B H H s k = " > A A A M L n i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s V k W I C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R l n d 2 P 5 E b i F 1 + B p k L h A 3 P I Y n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P O 3 X f e f e / 9 D + 7 d X x t 8 + N H H n z x 4 + O l L L X M V s L N A J l K 9 9 q l m C R f s z H C T s N e Z Y j T 1 E / b K v x h b / 6 s r p j S X 4 t Q s M / Y 2 p Z H g I Q + o A f T i 4 v y b 8 w c b w + 1 h d Z F V Y 9 Q Y G 1 5 z T c 4 f D j 6 f z m S Q p 0 y Y I K F a / z g a Z u Z t Q Z X h Q c L K t W m u W U a D C x q x w p f y w l B f l 6 S + N k m m Z M i 0 X R B N v r r M a c L N k k B I w n Q v k 6 Y 6 l M J 0 M v 0 E X L 6 k a k Z S a m K i l 6 k v k 5 U s i 1 0 S Z F 1 R J a S J u Y h 6 g Y I H L F Q 0 a I c P Z A p O 4 4 Y l o V R k 9 P X j L c J M s N 3 L T X m g p F W z d L m O y E j R L F 7 2 J U j L + 3 B t E m 5 g s w G B w W e 9 g I A b V l Y R k Z J 5 R u C 5 q k 5 / Z 9 X I P F i U N j D k U a 5 u C G Y 1 M R J W X k f A 6 t d t f w h 2 e b n e 1 y i J p O I m h k W X E I m P + v a o 8 q b A l l X L N T G T i t 3 I Y y J P Y U N p t Q o j S U y v G E m Y M U w R 6 2 P q l s 2 l e W K 4 k v O 2 G p A Z M W G D 2 W 3 d A S h P q A I 1 / l d 4 H N s D c m M n a j n T c S K q h c 4 k L H B G b J Q m X B B a j 9 J L W F T H r V x b 2 9 z c J B M l Z Q i T O A 3 M M m F F l l A u S t v k 1 i D f N y X f I j M W c s H t v g E q m V K x N h V s 3 i Q X c C Y y q S t / W U w 6 D 7 2 o d p C y 2 G v t X k x z L 4 v T x u h 5 E 5 a m t C y O q l v P E 0 g l E x B 0 W R Z j N H s R c N D z N K t n 3 2 n t / i i w b Z h 7 X N 1 q n W R m i y I V S A X r t 3 + i m G 5 N X W d O t 8 r a Q V W U c n D Z L p Z Z f d c h F C m a b o G j L D t x d P E v c X S B c Q l P V 4 K A g R / K A w Y 3 d d x t k 9 b z k S b g l t n q i Z o A n W c r A c B w J V y E K 3 5 g 6 I f i L 9 B h H 3 A L M m q X L i O H r 5 l C D L b D I W 9 H A d v h m Q 4 R T 6 E R H d 8 T 4 + N j q k 1 R T A 1 b m K J 6 L n + a A i q b 0 g V w S g 2 F V 3 C d c W S V K I 7 O 2 + E M F 0 t S a 9 G k 9 F 5 x V b n 8 F G a A f x T 3 6 z v k I w o c C h A x h x i i 2 K E Y k X Z I I 1 o 4 1 P Z C 5 F C E a O n Q E t G 1 Q 9 e I l E M K 0 a V D l 4 i E Q 2 2 X 5 g 7 l i I 4 c O k J 0 5 d A V o r l D c 0 Q y Z R H K W D + h D w 6 e a X 3 V U 9 n p E 2 k p / A 0 d 2 3 G x O x i 2 5 9 A e o k O H D m 8 r L J n D r w K B P m G K L 1 D z u p U q 2 V 0 T O a H R t e y 7 r j u u 6 3 7 r r U w X U 4 N T g Q 1 J c z 5 j 1 n K l b j I 1 F U 2 / n k K L Y q + e 4 u Z e d P G L V o Y u b q V 4 3 s X P E R 9 0 8 Q H i 4 y 4 + R r z f x f u t z F 1 8 i H j S x R P E J 1 1 8 g v i s i 8 / + Y 4 G 1 P J 1 v q E r c R 5 o Z T W R I 4 J f Z h + / E L + v 0 c Z 3 r + 8 U Y 5 0 d 0 4 t A z R M 9 Q A U T H D r 1 B 9 A b f L F D d 5 n u m m Q 9 I s 1 5 r j V t F + 4 6 O p n 1 H q + p u 3 7 G L n d G + l P Z 8 J 4 7 f r f V B F 7 d F 3 e / i d p 6 d L r b H C T 6 k R z c / m 1 e N l 4 + 3 R 0 + 2 v / v h y c b T 3 e a T + p 7 3 h b f u P f J G 3 r f e U + / A m 3 h n X u B F 3 s / e L 9 6 v g 9 8 G v w / + H P x V h 9 6 9 0 + R 8 5 v W u w d / / A H T 6 e Y A = < / l a t e x i t > k6 < l a t e x i t s h a 1 _ b a s e 6 4 = " z 4 z B P f j 4 b j 5 o W 9 Q M X n m s G H e 9 X q g = "  > A A A M L n i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s V h W I C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R l n d 2 P 5 E b i F 1 + B p k L h A 3 P I Y n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P O 3 X f e f e / 9 D + 7 d X x t 8 + N H H n z x 4 + O l L L X M V s L N A J l K 9 9 q l m C R f s z H C T s N e Z Y j T 1 E / b K v x h b / 6 s r p j S X 4 t Q s M / Y 2 p Z H g I Q + o A f T i 4 v y b 8 w c b w + 1 h d Z F V Y 9 Q Y G 1 5 z T c 4 f D j 6 f z m S Q p 0 y Y I K F a / z g a Z u Z t Q Z X h Q c L K t W m u W U a D C x q x w p f y w l B f l 6 S + N k m m Z M i 0 X R B N v r r M a c L N k k B I w n Q v k 6 Y 6 l M J 0 M v 0 E X L 6 k a k Z S a m K i l 6 k v k 5 U s i 1 0 S Z F 1 R J a S J u Y h 6 g Y I H L F Q 0 a I c P Z A p O 4 4 Y l o V R k 9 P X j L c J M s N 3 L T X m g p F W z d L m O y E j R L F 7 2 J U j L + 3 B t E m 5 g s w G B w W e 9 g I A b V l Y R k Z J 5 R u C 5 q k 5 / Z 9 X I P F i U N j D k U a 5 u C G Y 1 M R J W X k f A 6 t d t f w h 2 e b n e 1 y i J p O I m h k W X E I m P + v a o 8 q b A l l X L N T G T i t 3 I Y y J P Y U N p t Q o j S U y v G E m Y M U w R 6 2 P q l s 2 l e W K 4 k v O 2 G p A Z M W G D 2 W 3 d A S h P q A I 1 / l d 4 H N s D c m M n a j n T c S K q h c 4 k L H B G b J Q m X B B a j 9 J L W F T H r V x b 2 9 z c J B M l Z Q i T O A 3 M M m F F l l A u S t v k 1 i D f N y X f I j M W c s H t v g E q m V K x N h V s 3 i Q X c C Y y q S t / W U w 6 D 7 2 o d p C y 2 G v t X k x z L 4 v T x u h 5 E 5 a m t C y O q l v P E 0 g l E x B 0 W R Z j N H s R c N D z N K t n 3 2 n t / i i w b Z h 7 X N 1 q n W R m i y I V S A X r t 3 + i m G 5 N X W d O t 8 r a Q V W U c n D Z L p Z Z f d c h F C m a b o G j L D t x d P E v c X S B c Q l P V 4 K A g R / K A w Y 3 d d x t k 9 b z k S b g l t n q i Z o A n W c r A c B w J V y E K 3 5 g 6 I f i L 9 B h H 3 A L M m q X L i O H r 5 l C D L b D I W 9 H A d v h m Q 4 R T 6 E R H d 8 T 4 + N j q k 1 R T A 1 b m K J 6 L n + a A i q b 0 g V w S g 2 F V 3 C d c W S V K I 7 O 2 + E M F 0 t S a 9 G k 9 F 5 x V b n 8 F G a A f x T 3 6 z v k I w o c C h A x h x i i 2 K E Y k X Z I I 1 o 4 1 P Z C 5 F C E a O n Q E t G 1 Q 9 e I l E M K 0 a V D l 4 i E Q 2 2 X 5 g 7 l i I 4 c O k J 0 5 d A V o r l D c 0 Q y Z R H K W D + h D w 6 e a X 3 V U 9 n p E 2 k p / A 0 d 2 3 G x O x i 2 5 9 A e o k O H D m 8 r L J n D r w K B P m G K L 1 D z u p U q 2 V 0 T O a H R t e y 7 r j u u 6 3 7 r r U w X U 4 N T g Q 1 J c z 5 j 1 n K l b j I 1 F U 2 / n k K L Y q + e 4 u Z e d P G L V o Y u b q V 4 3 s X P E R 9 0 8 Q H i 4 y 4 + R r z f x f u t z F 1 8 i H j S x R P E J 1 1 8 g v i s i 8 / + Y 4 G 1 P J 1 v q E r c R 5 o Z T W R I 4 J f Z h + / E L + v 0 c Z 3 r + 8 U Y 5 0 d 0 4 t A z R M 9 Q A U T H D r 1 B 9 A b f L F D d 5 n u m m Q 9 I s 1 5 r j V t F + 4 6 O p n 1 H q + p u 3 7 G L n d G + l P Z 8 J 4 7 f r f V B F G I J + x M c x 2 x N 6 l k N H Y j 9 t q 9 H B v / 6 2 s m F R f J q c 5 T 9 i 6 m Q c J 9 7 l E N 6 H y a u / H F 6 O L B x n B 7 W F 1 k 2 R g 1 x o b T X J O L h 4 O v p z P h Z T F L t B d R p X 4 a D V P 9 r q B S c y 9 i 5 d o 0 U y y l 3 i U N W O E K c a m p q 0 p S X 5 s k l c J n y q y J R t 9 d Z T T i O i c Q E j H V y 6 S x 8 k W i O 5 l u B C 5 X U D k j M d U h U X n s i m g p y 2 C b B F n X V C Z C h z w J e o E J 9 5 g v q d c O 7 4 k Y n N o O S 3 w h y e j 7 x 1 u E a W + 7 l x t z T w o j a G l z L R G B p G m Y 9 y W I y / t w b R K u Y b M e g c F n v Q C P a 1 Z W E Y E U W U r g u S p Q f 2 f V y N x b l C b Q 5 0 E m b w l m N N E C V l 5 H w O r X T Y s k 7 O p q v a 9 R F A j J d Q i L L i E S H 9 X q q P K 2 w I Z V y 9 U h E 5 L d y m N J F s O G 4 m o V W p C Q X j M S M a 2 Z J M b H 5 I r N x V m k u R T z t h q Q G b D E B L N V 3 Q E o i 6 g E N f 5 X e B i a M 3 J r J z K f q T B K q o X O B C x w R k y U I j w h t B 6 l l 7 C o T l y 5 t r a 5 u U k m U g g f J r E a 6 D x i R R p R n p S m y Y 1 B n j U l 3 y I z 5 v O E m 3 0 D l C K m y d o 0 Y f M m u Y A z k Q p V + c t i 0 n n o R b W D l M V e a / d i m n t Z n D Z G z x u x O K Z l c V T d e h 5 P S B G B o H l Z j N H s R c B B z + K 0 n n 2 n t f u j w L Z h 7 n F 1 q 3 U S q S m K k C A V r N / 8 J c V 0 a 2 o 7 c 7 p V 1 g 4 q g 5 i D y 3 S x S O u 7 8 q F I w X Q L H G X Z i a O L f 4 m j C 4 y L e L w U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S p L l w K A 4 U p 4 4 i / 5 g a E f i r 9 A h 3 n A L Y i g X b o I L L 5 h E j H Y F v u 8 H Q V s i 2 f K R z y F R r R 8 L x k f H 1 O l i 2 K q 2 U I X 1 X P 5 8 x R Q 2 Z T O g 1 O q K b y C 6 4 w j o 0 R x d N E O p 3 m S k 1 q L J q X 3 i q v K 5 c Y w A / y j u F / X I h e R Z 5 G H i F n E E I U W h Y i U R Q r R w q K 2 F w K L A k S 5 R T m i G 4 t u E E m L J K I r i 6 4 Q J R a 1 X Z p Z l C E 6 s u g I 0 b V F 1 4 j m F s 0 R i Z g F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z H x u 5 g 2 J 5 F e 4 g O L T p c V V g y h 1 8 F A n 3 C J F + g 5 n U r V b L b J r J C o y v v u 2 4 6 r p t + 6 y 1 N F 1 K N U 4 E N S X M + Y 8 a y p W 4 y F U 2 a f j 2 F F s V e P c X N v e r i V 6 0 M X d x K 8 b K L X y I + 6 O I D x M d d f I x 4 v 4 v 3 W 5 m 7 + B D x p I s n i E + 6 + A T x W R e f / c c C a 3 k 6 3 1 C V u I 8 U 0 4 o I n 8 A v s w u f i t / W 6 e M 6 1 3 W L M c 6 P 6 M S i F 4 h e o A K I j i 1 6 i + g t v l m g u s 3 3 T D M f k G a 9 x h q 3 i v Y d H U 3 7 j l b V 3 b 5 j F z u j f S n t u V Y c t 1 v r g y 5 u i 7 r f x e 0 8 O 1 1 s j h N 8 S I 9 u f z Y v G + e P t 0 d P t p / + + G T j + W 7 z S X 3 P + c Z Z d x 4 5 I + c H 5 7 l z 4 E y c M 8 d z f n F + d X 5 z f h / 8 M X g / + H P w V x 1 6 9 0 6 T 8 5 X T u w Z / / w N A p 3 r T < / l a t e x i t > y2 < l a t e x i t s h a 1 _ b a s e 6 4 = " z Y W S K S v s p R z R d 3 O G 9 8 / M f D U H i M o = " > A A A M M X i c j Z b d T t x G F M e d 9 C t h + 5 G 0 6 l V v R i C k V K J 0 F 0 W q e l E p s C S A h N C W A I n S T d H Y O 7 a n 2 B 4 z M 2 b X W H 6 H 3 r a v 0 a f J X d X b v k T P 2 J 5 j m 9 1 W t Q Q + / p 1 z 5 u N / z n j t p h F X e j h 8 d + / + e + 9 / 8 O F H D x 6 u D T 7 + 5 N P P H j 3 + / E K J T H r s 3 B O R k K 9 d q l j E E 3 a u u Y 7 Y 6 1 Q y G r s R e + V e j Y 3 / 1 Q 2 T i o v k T O c p e x v T I O E + 9 6 g G d D H N 3 f h y 5 / L R x n B 7 W F 1 k 2 R g 1 x o b T X J P L x 4 M v p z P h Z T F L t B d R p X 4 a D V P 9 t q B S c y 9 i 5 d o 0 U y y l 3 h U N W O E K c a W p q 0 p S X 5 s k l c J n y q y J R t 9 c Z z T i O i c Q E j H V y 6 S x 8 k W i O 5 l u B C 5 X U D k j M d U h U X n s i m g p y 2 C b B F k 3 V C Z C h z w J e o E J 9 5 g v q d c O 7 4 k Y n N o O S 3 w h y e j b n S 3 C t L f d y 4 2 5 J 4 U R t L S 5 l o h A 0 j T M + x L E 5 U O 4 N g n X s F m P w O C z X o D H N S u r i E C K L C X w X B W o v 7 N q Z O 4 t S h P o 8 y C T d w Q z m m g B K 6 8 j Y P X r p k U S d n 2 9 3 t c o C o T k O o R F l x C J j 2 p 1 V H l X Y M O q 5 e q Q C c n u 5 L E k i 2 F D c b U K L U h I b x i J m N Z M E u N j c s X m 4 i z S X I p 5 W w 3 I D F h i g t m q 7 g C U R V S C G v 8 r P A z N G b m z E 5 n P V B g l 1 U J n A h Y 4 I y Z K E Z 4 Q W o / S S 1 h U J 6 5 c W 9 v c 3 C Q T K Y Q P k 1 g N d B 6 x I o 0 o T 0 r T 5 M Y g P z Q l 3 y I z 5 v O E m 3 0 D l C K m y d o 0 Y f M m u Y A z k Q p V + c t i 0 n n o R b W D l M V + a / d i m n t Z n D V G z x u x O K Z l c V z d e h 5 P S B G B o H l Z j N H s R c B B z + K 0 n n 2 3 t f u j w L Z h 7 n F 1 q 3 U S q S m K k C A V r N / 8 J c V 0 a 2 o 7 c 7 p V 1 g 4 q g 5 i D y 3 S x S O u 7 8 q F I w X Q L H G X Z i a O L f 4 m j C 4 y L e L w U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S p L l w K A 4 U p 4 4 i / 5 g a E f i r 9 A h 3 n A L Y i g X b o I L L 5 l E j H Y F v u 8 H Q V s i 2 f K R z y F R r R 8 P x m f n F C l i 2 K q 2 U I X 1 X P 5 8 x R Q 2 Z T O g 1 O q K b y C 6 4 x j o 0 R x f N k O p 3 m S k 1 q L J q X 3 i q v K 5 c Y w A / y j u F / X I h e R Z 5 G H i F n E E I U W h Y i U R Q r R w q K 2 F w K L A k S 5 R T m i W 4 t u E U m L J K J r i 6 4 R J R a 1 X Z p Z l C E 6 t u g Y 0 Y 1 F N 4 j m F s 0 R i Z g F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z X x u 5 i 2 L 5 F + 4 i O L D p a V V g y h 1 8 F A n 3 C J F + g 5 n U r V b L b J r J C o y v v u 2 4 7 r t t + 6 y 1 N F 1 K N U 4 E N S X M + Y 8 a y p W 4 y F U 2 a f j 2 D F s V e P c P N v e z i l 6 0 M X d x K 8 a K L X y A + 7 O J D x C d d f I L 4 o I s P W p m 7 + A j x p I s n i E + 7 + B T x e R e f / 8 c C a 3 k 6 3 1 C V u E 8 U 0 4 o I n 8 A v s w u f i l / X 6 e M 6 1 3 W L M c 6 P 6 N S i 5 4 i e o w K I T i x 6 g + g N v l m g u s 3 3 T D M f k G a 9 x h q 3 i v Y d H U 3 7 j l b V v b 5 j D z u j f S n t u 1 Y c t 1 v r w y 5 u i 3 r Q x e 0 8 u 1 1 s j h N 8 S I / u f j Y v G x c 7 2 6 O n 2 9 / / + H T j 2 V 7 z S f 3 A + c p Z d 5 4 4 I + c 7 5 5 l z 6 E y c c 8 d z f n F + d X 5 z f h / 8 M X g 3 + H P w V x 1 6 / 1 6 T 8 4 X T u w Z / / w N M b 3 r U < / l a t e x i t > y3 < l a t e x i t s h a 1 _ b a s e 6 4 = " + Z E 9 V J W A 0 / v P 3 i R A L A 4 k 0 L W s g n Y = " > A A A M M X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H d L Z U Q F 0 h N N m 0 S K Y q W N E m r s i U a e 8 f 2 E N v j z I y z 6 1 h + B 2 7 h N X i a 3 i F u e Q n O 2 J 5 j O 7 s g L C U + / p 1 z 5 u N / z n j t p h F X e j h 8 d + f u e + 9 / 8 O F H 9 + 6 v D T 7 + 5 N P P H j z 8 / F y J T H r s (c) z B O R k K 9 d q l j E E 3 a m u Y 7 Y 6 1 Q y G r s R e + V e j o 3 / 1 T W T i o v k V O c p e x v T I O E + 9 6 g G d D 7 N 3 f j i 2 4 s H G 8 P t Y X W R Z W P U G B t O c 0 0 u H g 6 + n M 6 E l 8 U s 0 V 5 E l f p p N E z 1 2 4 J K z b 2 I l W v T T L G U e p c 0 Y I U r x K W m r i p J f W 2 S V A q f K b M m G n 1 z l d G I 6 5 x A S M R U L 5 P G y h e J 7 m S 6 E b h c Q e W M x F S H R O W x K 6 K l L I N t E m R d U 5 k I H f I k 6 A U m 3 G O + p F 4 7 v C d i c G o 7 L P G F J K P H T 7 Y I 0 9 5 2 L z f m n h R G 0 N L m W i I C S d M w 7 0 s Q l / f h 2 i R c w 2 Y 9 A o P P e g E e 1 6 y s I g I p s p T A c 1 W g / s 6 q k b m 3 K E 2 g z 4 N M 3 h L M a K I F r L y O g N W v m x Z J 2 N X V e l + j K B C S 6 x A W X U I k P q r V U e V t g Q 2 r l q t D J i S 7 l c e S L I Y N x d U q t C A h v W Y k Y l o z S Y y P y R W b i 7 N I c y n m b T U g M 2 C J C W a r u g N Q F l E J a v y v 8 D A 0 Z + T W T m Q + U 2 G U V A u d C V j g j J g o R X h C a D 1 K L 2 F R n b h y b W 1 z c 5 N M p B A + T G I 1 0 H n E i j S i P C l N k x u D / N C U f I v M m M 8 T b v Y N U I q Y J m v T h M 2 b 5 A L O R C p U 5 S + L S e e h F 9 U O U h Z 7 r d 2 L a e 5 l c d o Y P W / E 4 p i W x V F 1 6 3 k 8 I U U E g u Z l M U a z F w E H P Y v T e v a d 1 u 6 P A t u G u c f V r d Z J p K Y o Q o J U s H 7 z l x T T r a n t z O l W W T u o D G I O L t P F I q 3 v y o c i B d M t c J R l J 4 4 u / i W O L j A u 4 v F S E D D w Q 3 n A 4 L q O W z V p P R 9 p A l b M V k / U B K g s X Q o A h i v h i b / k B 4 Z + K P 4 C H e Y B t y C C d u k i s P i G S c R g W + z z d h S w L Z 4 p H / E U G t H y v W R 8 f E y V L o q p Z g t d V M / l z 1 N A Z V M 6 D 0 6 p p v A K r j O O j B L F 0 U U 7 n O Z J T m o t m p T e K 6 4 q l x v D D P C P 4 n 5 d i 1 x E n k U e I m Y R Q x R a F C J S F i l E C 4 v a X g g s C h D l F u W I b i y 6 Q S Q t k o i u L L p C l F j U d m l m U Y b o y K I j R N c W X S O a W z R H J G I W o I z 1 E / r g 4 O n W V z 2 V n T 4 R h s L f 0 L I d G 7 u D Y X s W 7 S E 6 t O h w V W H J H H 4 V C P Q J k 3 y B m t e t V M l u m 8 g K j a 6 8 7 7 r p u G 7 6 r b c 0 X U g 1 T g U 2 J M 3 5 j B n L l r r J V D R p + v U U W h R 7 9 R Q 3 9 7 K L X 7 Y y d H E r x Y s u f x < l a t e x i t s h a 1 _ b a s e 6 4 = " v h H S B t / e H / o l X B M G x Z 6 V P o u z v 4 s = " > A A A M L 3 i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O k m B q W l J M I S K Z O U d 9 e C X q H X 9 j X 6 N E U v R a 9 9 i w 4 l c S R 5 3 a I C b I 1 + M 8 O P / w y 1 8 r O E a z M c / n H n 7 n v v f / D h R / f u r w 0 + / u T T z x 4 8 / P y l l r k K 2 F k g E 6 l e + 1 S z h A t 2 Z r h J 2 O t M M Z r 6 C X v l X 4 y t / 9 U V U 5 p L c W q W G X u b 0 k j w k A f U W D R d + O n 5 g 4 3 h 9 r C 6 y K o x a o w N r 7 k m 5 w 8 H X 0 5 n M s h T J k y Q U K 1 / G g 0 z 8 7 a g y v A g Y e X a N N c s o 8 E F j V j h S 3 l h q K 9 L U l + b J F M y Z N q u i C b f X O Y 0 4 W Z J I C R h u p d J U x 1 K Y T q Z f g I u X 1 I 1 I y k 1 M d H L 1 J f J S p b F L g m y r q g S 0 s R c R L 1 A w Q M W K h q 0 w w c y B a d x w 5 J Q K j L 6 9 v E W Y S b Y 7 u W m P F D S y l m 6 X E d k p G g W L / s S p O V 9 u D Y J N 7 D Z g M D g s 1 5 A w A 0 r q 4 h I y T w j 8 F y V p 7 + z a m Q e L E o b G P I o V z c E s 5 o Y C S u v I 2 D 1 6 7 Z B B L u 8 X O 9 r l E R S c R P D o k u I x E d 9 e 1 R 5 U 2 D L q u W a m E n F b u Q x k a e w o b R a h Z E k p l e M J M w Y p o j 1 M X X L 5 t I 8 M V z J e V s N y I y Y s M H s t u 4 A l C d U g R r / K z y O 7 Q m 5 s R O 1 n O k 4 E d V C Z x I W O C M 2 S h M u C K 1 H 6 S U s q v N W r q 1 t b m 6 S i Z I y h E m c B m a Z s C J L K B e l b X J r k B + a k m + R G Q u 5 4 H b f A J V M q V i b C j Z v k g s 4 E 5 n U l b 8 s J p 2 H X l Q 7 S F n s t X Y v p r m X x W l j 9 L w J S 1 N a F k f V r e c J p J I J C L o s i z G a v Q g 4 6 H m a 1 b P v t H Z / F N g 2 z D 2 u b r V O M r N F k Q q k g v X b P 1 F M t 6 a u M 6 d b Z e 2 g K k o 5 u G w X y 6 y + 6 x C K F E 2 3 w F G W n T i 6 + J c 4 u s C 4 h K c r Q c D A D + U B g 5 s 6 7 r Z J 6 / l I E 3 D L b P V E T Y D O s 5 U A Y L g S L s I V P z D 0 Q / E X 6 L A P u A U Z t U u X k c P X T C E G 2 + G Q t 6 O A 7 f B M h 4 i n 0 I i O 7 4 n x 8 T H V p i i m h i 1 M U T 2 X 7 6 a A y q Z 0 A Z x S Q + E V X G c c W S W K o / N 2 O M P F k t R a N C m 9 V 1 x V L j + F G e A f x f 3 6 D v m I A o c C R M w h h i h 2 K E a k H d K I F g 6 1 v R A 5 F C F a O r R E d O 3 Q N S L l k E J 0 6 d A l I u F Q 2 6 W 5 Q z m i I 4 e O E F 0 5 d I V o 7 t A c k U x Z h D L W T + i D g 2 d a X / V U d v p E W g p / Q 8 d 2 X O w O h u 0 5 t I f o 0 K H D 2 w p L 5 v C r Q K B P m O I L 1 L x u p U p 2 1 0 R O a H Q t + 6 7 r j u u 6 3 3 o r 0 8 X U 4 F R g Q 9 K c z 5 i 1 X K m b T E 1 F 0 6 + n 0 K L Y q 6 e 4 u R d d / K K V o Y t b K Z 5 3 8 X P E B 1 1 8 g P i 4 i 4 8 R 7 3 f x f i t z F x 8 i n n T x B P F J F 5 8 g P u v i s / 9 Y Y C 1 P 5 x u q E v e R Z k Y T G R L 4 Z f b h Q / H r O n 1 c 5 / p + M c b 5 E Z 0 4 9 A z R M 1 Q A 0 b F D b x C 9 w T c L V L f 5 n m n m A 9 K s 1 1 r j V t G + o 6 N p 3 9 G q u t t 3 7 G J n t C + l P d + J 4 3 d r f d D F b V H 3 u 7 i d Z 6 e L 7 X G C D + n R z c / m V e P l 4 + 3 R k + 3 v f 3 y y 8 X S 3 + a S + 5 3 3 l r X u P v J H 3 n f f U O / A m 3 p k X e L H 3 s / e L 9 + v g t 8 H v g z 8 H f 9 W h d + 8 0 O V 9 4 v W v w 9 z 8 x 7 3 o u < / l a t e x i t > y < l a t e x i t s h a 1 _ b a s e 6 4 = " M j Y p u y n c O H W p k p + 5 I O x K O z K N i 3 Y = " > A A A M L 3 i c j Z b N b t t G E M e Z 9 C u R + p G 0 6 K m X h Q 0 D K e C 6 U h C g 6 K F A b D m x D R i G 6 t h J k C o x l t S S X J j k 0 r t L S z T B V + i 1 f Y 0 + T d F L 0 W v f o r M k d 0 h a a l E C N o e / m d m P / 8 x S d N O I K z 0 a / X H n 7 n v v f / D h R / f u D 4 Y f f / L p Z w 8 e f v 5 S i U x 6 7 N w T k Z C v X a p Y x B N 2 r r m O 2 O t U M h q 7 E X v l X k 6 M / 9 U 1 k 4 q L 5 E z n K X s b 0 y D h P v e o N m i W u / H F g 8 3 R z q i 6 y K o x b o x N p 7 m m F w + H X 8 7 m w s t i l m g v o k r 9 N B 6 l + m 1 B p e Z e x M r B L F M s p d 4 l D V j h C n G p q a t K U l 9 b J J X C Z 8 q s i E b f X G U 0 4 j o n E B I x 1 c u k s f J F o j u Z b g Q u V 1 A 5 J z H V I V F 5 7 I p o J c t g m w R Z 1 1 Q m Q o c 8 C X q B C f e Y L 6 n X D u + J G J z a D k t 8 I c n 4 2 8 f b h G l v p 5 c b c 0 8 K I 2 d p c y 0 R g a R p m P c l i M v 7 c G 0 R r m G z H o H B 5 7 0 A j 2 t W V h G B F F l K 4 L k q T 3 9 n 1 c j c W 5 Y m 0 O d B J m 8 J Z j T R A l Z e R 8 D q N 0 y D J O z q a q O v U R Q I y X U I i y 4 h E h / V + q j y t s C G V c v V I R O S 3 c p j S R b D h u J q F V q Q k F 4 z E j G t m S T G x + S a z c V Z p L k U i 7 Y a k B m w x A S z d d 0 B K I u o B D X + V 3 g Y m h N y a y c y n 6 s w S q q F z g U s c E 5 M l C I 8 I b Q e p Z e w r M 5 b O R h s b W 2 R q R T C h 0 m s B j q P W J F G l C e l a X J j k B + a k m + T O f N 5 w s 2 + A U o R 0 2 Q w S 9 i i S S 7 g T K R C V f 6 y m H Y e e l H t I G W x 3 9 q 9 m O Z e F m e N 0 f N G L I 5 p W R x X t 5 7 H E 1 J E I G h e F h M 0 e x F w 0 L M 4 r W f f b e 3 + K L B t m H t S 3 W q d R G q K I i R I B e s 3 f 0 k x 2 5 7 Z z p x t l 7 W D y i D m 4 D J d L N L 6 r n w o U j D b B k d Z d u L o 8 l / i 6 B L j I h 6 v B A E D P 5 Q H D K 7 r u H W T 1 v O R J m D N b P V E T Y D K 0 p U A Y L g S n v g r f m D o h + I v 0 W E e c A s i a J c u A o t v m E Q M t s U + b 0 c B 2 + K 5 8 h H P o B E t 3 0 8 m J y d U 6 a K Y a b b U R f V c v p s B K p v S e X B K N Y V X c J 1 x b J Q o j i / a 4 T R P c l J r 0 a T 0 X n F V u d w Y Z o B / F P f r W u Q i 8 i z y E D G L G K L Q o h C R s k g h W l r U 9 k J g U Y A o t y h H d G P R D S J p k U R 0 Z d E V o s S i t k s z i z J E x x Y d I 7 q 2 6 B r R w q I F I h G z A G W s n 9 A H B 0 + 3 v u q p 7 P S J M B T + R p b t 2 t h d D N u 3 a B / R k U V H 6 w p L F v C r Q K B P m O R L 1 L x u p U p 2 2 0 R W a H T l f d d N x 3 X T b 7 2 V 6 U K q c S q w I W n B 5 8 x Y t t R N p q J J 0 6 9 n 0 K L Y q 2 e 4 u R d d / K K V o Y t b K Z 5 3 8 X P E h 1 1 8 i P i k i 0 8 Q H 3 T x Q S t z F x 8 h n n b x F P F p F 5 8 i P u / i 8 / 9 Y Y C 1 P 5 x u q E v e R Y l o R 4 R P 4 Z X b h Q / H r O n 1 S 5 7 p u M c H 5 E Z 1 a 9 A z R M 1 Q A 0 Y l F b x C 9 w T c L V L f 5 n m n m A 9 K s 1 1 i T V t G + o 6 N p 3 9 G q u t d 3 7 G F n t C + l f d e K 4 3 Z r f d j F b V E P u r i d Z 7 e L z X G C D + n x 7 c / m V e P l 4 5 3 x k 5 3 v f 3 y y + X S v + a S + 5 3 z l b D i P n L H z n f P U O X S m z r n j O a H z s / O L 8 + v w t + H v w z + H f 9 W h d + 8 0 O V 8 4 v W v 4 9 z 8 9 u X o v < / l a t e x i t > { < l a t e x i t s h a 1 _ b a s e 6 4 = " L L E K 5 X g X i l B M S F b V Z z v Q S t t a / / w = " > A A A M L X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s R k i I C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R l n d 2 P 5 D b i F 1 + B p u E B C 3 P I a n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P e / X f e f e / 9 D x 4 8 X B t 8 + N H H n z x 6 / O l L L X M V s P N A J l K 9 9 q l m C R f s 3 H C T s N e Z Y j T 1 E / b K v x x b / 6 t r p j S X 4 s w s M / Y 2 p Z H g I Q + o A X Q 6 L S 4 e b Q y 3 h 9 V F V o 1 R Y 2 x 4 z T W 5 e D z 4 f D q T Q Z 4 y Y Y K E a v 3 j a J i Z t w V V h g c J K 9 e m u W Y Z D S 5 p x A p f y k t D f V 2 S + t o k m Z I h 0 3 Y 9 N P n q K q c J N 0 s C I Q n T v U y a 6 l A K 0 8 n 0 E 3 D 5 k q o Z S a m J i V 6 m v k x W s i x 2 S Z B 1 T Z W Q J u Y i 6 g U K H r B Q 0 a A d P p A p O I 0 b l o R S k d H X O 1 u E m W C 7 l 5 v y Q E k r Z u l y H Z G R o l m 8 7 E u Q l g / h 2 i T c w G Y D A o P P e g E B N 6 y s I i I l 8 4 z A c 1 W c / s 6 q k X m w K G 1 g y K N c 3 R L M a m I k r L y O g N W v 2 / Y Q 7 O p q v a 9 R E k n F T Q y L L i E S H / X d U e V t g S 2 r l m t i J h W 7 l c d E n s K G 0 m o V R p K Y X j O S M G O Y I t b H 1 B 2 b S / P E c C X n b T U g M 2 L C B r O 7 u g N Q n l A F a v y v 8 D i 2 5 + P W T t R y p u N E V A u d S V j g j N g o T b g g t B 6 l l 7 C o T l u 5 t r a 5 u U k m S s o Q J n E a m G X C i i y h X J S 2 y a 1 B v m 9 K v k V m L O S C 2 3 0 D V D K l Y m 0 q 2 L x J L u B M Z F J X / r K Y d B 5 6 U e 0 g Z b H f 2 r 2 Y 5 l 4 W Z 4 3 R 8 y Y s T W l Z H F e 3 n i e Q S i Y g 6 L I s x m j 2 I u C g 5 2 l W z 7 7 b 2 v 1 R Y N s w 9 7 i 6 1 T r J z B Z F K p A K 1 m / / R D H d m r r O n G 6 V t Y O q K O X g s l 0 s s / q u Q y h S N N 0 C R 1 l 2 4 u j i X + L o A u M S n q 4 E A Q M / l A c M b u q 4 u y a t 5 y N N w B 2 z 1 R M 1 A T r P V g K A 4 U q 4 C F f 8 w N A P x V + g w z 7 g F m T U L l 1 G D t 8 w h R h s h 0 P e j g K 2 w z M d I p 5 C I z q + L 8 Y n J 1 S b o p g a t j B F 9 V z + N A V U N q U L 4 J Q a C q / g O u P Y K l E c X 7 T D G S 6 W p N a i S e m 9 4 q p y + S n M A P 8 o 7 t d 3 y E c U O B Q g Y g 4 x R L F D M S L t k E a 0 c K j t h c i h C N H S o S W i G 4 d u E C m H F K I r h 6 4 Q C Y f a L s 0 d y h E d O 3 S M 6 N q h a 0 R z h + a I Z M o i l L F + Q h 8 c P N P 6 q q e y 0 y f S U v g b O r b r Y n c x b N + h f U R H D h 3 d V V g y h 1 8 F A n 3 C F F + g 5 n U r V b K 7 J n J C o 2 v Z d 9 1 0 X D f 9 1 l u Z L q Y G p w I b k u Z 8 x q z l S t 1 k a i q a f j 2 D F s V e P c P N v e j i F 6 0 M X d x K 8 b y L n y M + 7 O J D x C d d f I L 4 o I s P W p m 7 + A j x p I s n i E + 7 + B T x e R e f / 8 c C a 3 k 6 3 1 C V u E 8 0 M 5 r I k M A v s w + f i V / W 6 e M 6 1 / e L M c 6 P 6 N S h Z 4 i e o Q K I T h x 6 g + g N v l m g u s 3 3 T D M f k G a 9 1 h q 3 i v Y d H U 3 7 j l b V v b 5 j D z u j f S n t + 0 4 c v 1 v r w y 5 u i 3 r Q x e 0 8 u 1 1 s j x N 8 S I 9 u f z a v G i 9 3 t k f f b H / 3 w 8 7 G 0 7 3 m k / q B 9 4 W 3 7 j 3 x R t 6 3 3 l P v 0 J t 4 5 1 7 g h d 7 P 3 i / e r 4 P f B r 8 P / h z 8 V Y f e v 9 f k f O b 1 r s H f / w B s + X l M < / l a t e x i t > k0 < l a t e x i t s h a 1 _ b a s e 6 4 = " j 6 L 4 w f S V i n E i 7 + n W J u d i g 8 t B q 1 4 = " > A A A M L n i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O k m B q W l J M I S K Z O U d 9 e C H q H X 9 j X 6 N A V 6 K H r t Y 3 Q o i S P J 6 x Y V Y G v 0 m x l + / G e o l Z 8 l X J v h 8 I 8 7 d 9 9 7 / 4 M P P 7 p 3 f 2 3 w 8 S e f f v b g 4 e c v t c x V w M 4 C m U j 1 2 q e a J V y w M 8 N N w l 5 n i t H U T 9 g r / 2 J s / a + u m N J c i l O z z N j b l E a C h z y g B t C L i / P h + Y O N 4 f a w u s i q M W q M D a + 5 J u  c P B 1 9 O Z z L I U y Z M k F C t f x o N M / O 2 o M r w I G H l 2 j T X L K P B B Y 1 Y 4 U t 5 Y a i v S 1 J f m y R T M m T a L o g m 3 1 z m N O F m S S A k Y b q X S V M d S m E 6 m X 4 C L l 9 S N S M p N T H R y 9 S X y U q W x S 4 J s q 6 o E t L E X E S 9 Q M E D F i o a t M M H M g W n c c O S U C o y + v b x F m E m 2 O 7 l p j x Q 0 q p Z u l x H Z K R o F i / 7 E q T l f b g 2 C T e w 2 Y D A 4 L N e Q M A N K 6 u I S M k 8 I / B c V a e / s 2 p k H i x K G x j y K F c 3 B L O a G A k r r y N g 9 e u 2 P w S 7 v F z v a 5 R E U n E T w 6 J L i M R H f X t U e V N g y 6 r l m p h J x W 7 k M Z G n s K G 0 W o W R J K Z X j C T M G K a I 9 T F 1 y + b S P D F c y X l b D c i M m L D B 7 L b u A J Q n V I E a / y s 8 j u 0 B u b E T t Z z p O B H V Q m c S F j g j N k o T L g i t R + k l L K r j V q 6 t b W 5 u k o m S M o R J n A Z m m b A i S y g X p W 1 y a 5 A f m p J v k R k L u e B 2 3 w C V T K l Y m w o 2 b 5 I L O B O Z 1 J W / L C a d h 1 5 U O 0 h Z 7 L V 2 L 6 a 5 l 8 V p Y / S 8 C U t T W h Z H 1 a 3 n C a S S C Q i 6 L I s x m r 0 I O O h 5 m t W z 7 7 R 2 f x T Y N s w 9 r m 6 1 T j K z R Z E K p I L 1 2 z 9 R T L e m r j O n W 2 X t o C p K O b h s F 8 u s v u s Q i h R N t 8 B R l p 0 4 u v i X O L r A u I S n K 0 H A w A / l A Y O b O u 6 2 S e v 5 S B N w y 2 z 1 R E 2 A z r O V A G C 4 E i 7 C F T 8 w 9 E P x F + i w D 7 g F G b V L l 5 H D 1 0 w h B t v h k L e j g O 3 w T I e I p 9 C I j u + J 8 f E x 1 a Y o p o Y t T F E 9 l + + m g M q m d A G c U k P h F V x n H F k l i q P z d j j D x Z L U W j Q p v V d c V S 4 / h R n g H 8 X 9 + g 7 5 i A K H A k T M I Y Y o d i h G p B 3 S i B Y O t b 0 Q O R Q h W j q 0 R H T t 0 D U i 5 Z B C d O n Q J S L h U N u l u U M 5 o i O H j h B d O X S F a O 7 Q H J F M W Y Q y 1 k / o g 4 N n W l / 1 V H b 6 R F o K f 0 P H d l z s D o b t O b S H 6 N C h w 9 s K S + b w q 0 C g T 5 j i C 9 S 8 b q V K d t d E T m h 0 L f u u 6 4 7 r u t 9 6 K 9 P F 1 O B U Y E P S n M + Y t V y p m 0 x N R d O v p 9 C i 2 K u n u L k X X f y i l a G L W A t T + c b q h L 3 k W Z G E x k S + G X 2 4 T v x 6 z p 9 X O f 6 f j H G + R G d O P Q M 0 T N U A N G x Q 2 8 Q v c E 3 C 1 S 3 + Z 5 p 5 g P S r N d a 4 1 b R v q O j a d / R q r r b d + x i Z 7 Q v p T 3 f i e N 3 a 3 3 Q x W 1 R 9 7 u 4 n W e n i + 1 x g g / p 0 c 3 P 5 l X j 5 e P t 0 Z P t 7 3 9 8 s v F 0 t / m k v u d 9 5 a 1 7 j 7 y R 9 5 3 3 1 D v w J t 6 Z F 3 i R 9 7 P 3 i / f r 4 L f B 7 4 M / B 3 / V o X f v N D l f e L 1 r 8 P c / O h J 5 e w = = < / l a t e x i t > k1 < l a t e x i t s h a 1 _ b a s e 6 4 = " p a r 4 5 a y x 0 Q 4 h 8 I 8 7 d 9 9 7 / 4 M P P 7 p 3 f 2 3 w 8  9 k z S X h v Z t B D P U 3 h s = " > A A A M L n i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O k m B q W l J M I S K Z O U d 9 e C H q H X 9 j X 6 N A V 6 K H r t Y 3 Q o i S P J 6 x Y V Y G v 0 m x l + / G e o l Z 8 l X J v S e f f v b g 4 e c v t c x V w M 4 C m U j 1 2 q e a J V y w M 8 N N w l 5 n i t H U T 9 g r / 2 J s / a + u m N J c i l O z z N j b l E a C h z y g B t C L i / P R + Y O N 4 f a w u s i q M W q M D a + 5 J u c P B 1 9 O Z z L I U y Z M k F C t f x o N M / O 2 o M r w I G H l 2 j T X L K P B B Y 1 Y 4 U t 5 Y a i v S 1 J f m y R T M m T a L o g m 3 1 z m N O F m S S A k Y b q X S V M d S m E 6 m X 4 C L l 9 S N S M p N T H R y 9 S X y U q W x S 4 J s q 6 o E t L E X E S 9 Q M E D F i o a t M M H M g W n c c O S U C o y + v b x F m E m 2 O 7 l p j x Q 0 q p Z u l x H Z K R o F i / 7 E q T l f b g 2 C T e w 2 Y D A 4 L N e Q M A N K 6 u I S M k 8 I / B c V a e / s 2 p k H i x K G x j y K F c 3 B L O a G A k r r y N g 9 e u 2 P w S 7 v F z v a 5 R E U n E T w 6 J L i M R H f X t U e V N g y 6 r l m p h J x W 7 k M Z G n s K G 0 W o W R J K Z X j C T M G K a I 9 T F 1 y + b S P D F c y X l b D c i M m L D B 7 L b u A J Q n V I E a / y s 8 j u 0 B u b E T t Z z p O B H V Q m c S F j g j N k o T L g i t R + k l L K r j V q 6 t b W 5 u k o m S M o R J n A Z m m b A i S y g X p W 1 y a 5 A f m p J v k R k L u e B 2 3 w C V T K l Y m w o 2 b 5 I L O B O Z 1 J W / L C a d h 1 5 U O 0 h Z 7 L V 2 L 6 a 5 l 8 V p Y / S 8 C U t T W h Z H 1 a 3 n C a S S C Q i 6 L I s x m r 0 I O O h 5 m t W z 7 7 R 2 f x T Y N s w 9 r m 6 1 T j K z R Z E K p I L 1 2 z 9 R T L e m r j O n W 2 X t o C p K O b h s F 8 u s v u s Q i h R N t 8 B R l p 0 4 u v i X O L r A u I S n K 0 H A w A / l A Y O b O u 6 2 S e v 5 S B N w y 2 z 1 R E 2 A z r O V A G C 4 E i 7 C F T 8 w 9 E P x F + i w D 7 g F G b V L l 5 H D 1 0 w h B t v h k L e j g O 3 w T I e I p 9 C I j u + J 8 f E x 1 a Y o p o Y t T F E 9 l + + m g M q m d A G c U k P h F V x n H F k l i q P z d j j D x Z L U W j Q p v V d c V S 4 / h R n g H 8 X 9 + g 7 5 i A K H A k T M I Y Y o d i h G p B 3 S i B Y O t b 0 Q O R Q h W j q 0 R H T t 0 D U i 5 Z B C d O n Q J S L h U N u l u U M 5 o i O H j h B d O X S F a O 7 Q H J F M W Y Q y 1 k / o g 4 N n W l / 1 V H b 6 R F o K f 0 P H d l z s D o b t O b S H 6 N C h w 9 s K S + b w q 0 C g T 5 j i C 9 S 8 b q V K d t d E T m h 0 L f u u 6 4 7 r u t 9 6 K 9 P F 1 O B U Y E P S n M + Y t V y p m 0 x N R d O v p 9 C i 2 K u n u L k X X f y i l a G L W y m e d / F z x A d d f I D 4 u I u P E e 9 3 8 X 4 r c x c f I p 5 0 8 Q T x S R e f I D 7 r 4 r P / W G A t T + c b q h L 3 k W Z G E x k S + G X 2 4 T v x 6 z p 9 X O f 6 f j H G + R G d O P Q M 0 T N U A N G x Q 2 8 Q v c E 3 C 1 S 3 + Z 5 p 5 g P S r N d a 4 1 b R v q O j a d / R q r r b d + x i Z 7 Q v p T 3 f i e N 3 a 3 3 Q x W 1 R 9 7 u 4 n W e n i + 1 x g g / p 0 c 3 P 5 l X j 5 e P t 0 Z P t 7 3 9 8 s v F 0 t / m k v u d 9 5 a 1 7 j 7 y R 9 5 3 3 1  D v w J t 6 Z F 3 i R 9 7 P 3 i / f r 4 L f B 7 4 M / B 3 / V o X f v N D l f e L 1 r 8 P c / R d p 5 f A = = < / l a t e x i t > k2 < l a t e x i t s h a 1 _ b a s e 6 4 = " T X I 0 i v j 9 o Y M B 8 9 J 7 X h S q m w x z j l Y = " > A A A M L n i c j Z Z b b 9 x E F M f d c m u z X F o Q T 7 y M E k U q U g i 7 U S X E A 1 K T T Z t E i q I l l 7 Y q 2 0 Z j 7 9 g e x f Y 4 M + P s O p Y / A q / w N f g 0 S D w g X v k Y n L E 9 x 3 Z 2 Q V h K f P w 7 5 8 z l f 8 5 4 7 a Y R V 3 o 4 / O P e / f f e / + D D j x 4 8 X B t 8 / M m n n z 1 6 / P l L J T L p s Q t P R E K + d q l i E U / Y h e Y 6 Y q 9 T y W j s R u y V e z U 2 / l c 3 T C o u k n O d p + x t T I O E + 9 y j G t D Z 1 e X O 5 a O N 4 f a w u s i y M W q M D a e 5 J p e P B 1 9 O Z 8 L L Y p Z o L 6 J K / T Q a p v p t Q a X m X s T K t W m m W E q 9 K x q w w h X i S l N X l a S + N k k q h c + U W R C N v r n O a M R 1 T i A k Y q q X S W P l i 0 R 3 M t 0 I X K 6 g c k Z i q k O i 8 t g V 0 V K W w T Y J s m 6 o T I Q O e R L 0 A h P u M V 9 S r x 3 e E z E 4 t R 2 W + E K S 0 b c 7 W 4 R p b 7 u X G 3 N P C q N m a X M t E Y G k a Z j 3 J Y j L h 3 B t E q 5 h s x 6 B w W e 9 A I 9 r V l Y R g R R Z S u C 5 q k 5 / Z 9 X I 3 F u U J t D n Q S b v C G Y 0 0 Q J W X k f A 6 t d N f y T s + n q 9 r 1 E U C M l 1 C I s u I R I f 1 e q o 8 q 7 A h l X L 1 S E T k t 3 J Y 0 k W w 4 b i a h V a k J D e M B I x r Z k k x s f k i s 3 F W a S 5 F P O 2 G p A Z s M Q E s 1 X d A S i L q A Q 1 / l d 4 G J o D c m c n M p + p M E q q h c 4 E L H B G T J Q i P C G 0 H q W X s K i O W 7 m 2 t r m 5 S S Z S C B 8 m s R r o P G J F G l G e l K b J j U F + a E q + R W b M 5 w k 3 + w Y o R U y T t W n C 5 k 1 y A W c i F a r y l 8 W k 8 9 C L a g c p i / 3 W 7 s U 0 9 7 I 4 b 4 y e N 2 J x T M v i u L r 1 P J 6 Q I g J B 8 7 I Y o 9 m L g I O e x W k 9 + 2 5 r 9 0 e B b c P c 4 + p W 6 y R S U x Q h Q S p Y v / l L i u n W 1 H b m d K u s H V Q G M Q e X 6 W K R 1 n f l Q 5 G C 6 R Y 4 y r I T R x f / E k c X G B f x e C k I G P i h P G B w X c e t m r S e j z Q B K 2 a r J 2 o C V J Y u B Q D D l f D E X / I D Q z 8 U f 4 E O 8 4 B b E E G 7 d B F Y f M s k Y r A t 9 n k 7 C t g W z 5 S P e A q N a P l + M j 4 5 o U o X x V S z h S 6 q 5 / L d F F D Z l M 6 D U 6 o p v I L r j G O j R H F 8 2 Q 6 n e Z K T W o s m p f e K q 8 r l x j A D / K O 4 X 9 c i F 5 F n k Y e I W c Q Q h R a F i J R F C t H C o r Y X A o s C R L l F O a J b i 2 4 R S Y s k o m u L r h E l F r V d m l m U I T q 2 6 B j R j U U 3 i O Y W z R G J m A U o Y / 2 E P j h 4 u v V V T 2 W n T 4 S h 8 D e 0 b N f G 7 m L Y v k X 7 i I 4 s O l p V W D K H X w U C f c I k X 6 D m d S t V s t s m s k K j K + + 7 b j u u 2 3 7 r L U 0 X U o 1 T g Q 1 J c z 5 j x r K l b j I V T Z p + P Y c W x V 4 9 x 8 2 d d f F Z K 0 M X t 1 K 8 6 O I X i A + 7 + B D x S R e f I D 7 o 4 o N W 5 i 4 + Q j z p 4 g n i 0 y 4 + R X z R x R f / s c B a n s 4 3 V C X u E 8 W 0 I s I n 8 M v s w n f i 1 3 X 6 u M 5 1 3 W K M 8 y M 6 t e g 5 o u e o A K I T i 9 4 g e o N v F q h u 8 z 3 T z A e k W a + x x q 2 i f U d H 0 7 6 j V X W v 7 9 j D z m h f S v u u F c f t 1 v q w i 9 u i H n R x O 8 9 u F 5 v j B B / S o 7 u f z c v G y 5 3 t 0 d P t 7 3 9 8 u v F s r / m k f u B 8 5 a w 7 T 5 y R 8 5 3 z z D l 0 J s 6 F 4 z m B 8 7 P z i / P r 4 L f B 7 4 M / B 3 / V o f f v N T l f O L 1 r 8 P c / U a J 5 f Q = = < / l a t e x i t > Core 1 Core 2 Core 3 y1 < l a t e x i t s h a 1 _ b a s e 6 4 = " + 7 + m D 4 Q o l a 2 M F 8 v L Z 0 2 4 U e v U r M M = " > A A A M M X i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A I o c A s d e J b c A w t o 7 t B O m m B q W l J N a S K J O U d 2 V B 7 9 B r + x p 9 m t y K X v s S H U r i S P J u i w q w N f r N D D / + M 9 T K T S O u 9 H D 4 / s 7 d D z 7 8 6 O N P 7 t 1 f G 3 z 6 2 e d f P H j 4 5 b k S m f T Y m S c i I d + 4 V L G I J + x M c x 2 x N 6 l k N H Y j 9 t q 9 H B v / 6 2 s m F R f J q c 5 T 9 i 6 m Q c J 9 7 l E N 6 H y a u / H F 6 O L B x n B 7 W F 1 k 2 R g 1 x o b T X J O L h 4 O v p z P h Z T F L t B d R p X 4 a D V P 9 r q B S c y 9 i 5 d o 0 U y y l 3 i U N W O E K c a m p q 0 p S X 5 s k l c J n y q y J R t 9 d Z T T i O i c Q E j H V y 6 S x 8 k W i O 5 l u B C 5 X U D k j M d U h U X n s i m g p y 2 C b B F n X V C Z C h z w J e o E J 9 5 g v q d c O 7 4 k Y n N o O S 3 w h y e j 7 x 1 u E a W + 7 l x t z T w o j a G l z L R G B p G m Y 9 y W I y / t w b R K u Y b M e g c F n v Q C P a 1 Z W E Y E U W U r g u S p Q f 2 f V y N x b l C b Q 5 0 E m b w l m N N E C V l 5 H w O r X T Y s k 7 O p q v a 9 R F A j J d Q i L L i E S H 9 X q q P K 2 w I Z V y 9 U h E 5 L d y m N J F s O G 4 m o V W p C Q X j M S M a 2 Z J M b H 5 I r N x V m k u R T z t h q Q G b D E B L N V 3 Q E o i 6 g E N f 5 X e B i a M 3 J r J z K f q T B K q o X O B C x w R k y U I j w h t B 6 l l 7 C o T l y 5 t r a 5 u U k m U g g f J r E a 6 D x i R R p R n p S m y Y 1 B n j U l 3 y I z 5 v O E m 3 0 D l C K m y d o 0 Y f M m u Y A z k Q p V + c t i 0 n n o R b W D l M V e a / d i m n t Z n D Z G z x u x O K Z l c V T d e h 5 P S B G B o H l Z j N H s R c B B z + K 0 n n 2 n t f u j w L Z h 7 n F 1 q 3 U S q S m K k C A V r N / 8 J c V 0 a 2 o 7 c 7 p V 1 g 4 q g 5 i D y 3 S x S O u 7 8 q F I w X Q L H G X Z i a O L f 4 m j C 4 y L e L w U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S p L l w K A 4 U p 4 4 i / 5 g a E f i r 9 A h 3 n A L Y i g X b o I L L 5 h E j H Y F v u 8 H Q V s i 2 f K R z y F R r R 8 L x k f H 1 O l i 2 K q 2 U I X 1 X P 5 8 x R Q 2 Z T O g 1 O q K b y C 6 4 w j o 0 R x d N E O p 3 m S k 1 q L J q X 3 i q v K 5 c Y w A / y j u F / X I h e R Z 5 G H i F n E E I U W h Y i U R Q r R w q K 2 F w K L A k S 5 R T m i G 4 t u E E m L J K I r i 6 4 Q J R a 1 X Z p Z l C E 6 s u g I 0 b V F 1 4 j m F s 0 R i Z g F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z H x u 5 g 2 J 5 F e 4 g O L T p c V V g y h 1 8 F A n 3 C J F + g 5 n U r V b L b J r J C o y v v u 2 4 6 r p t + 6 y 1 N F 1 K N U 4 E N S X M + Y 8 a y p W 4 y F U 2 a f j 2 F F s V e P c X N v e r i V 6 0 M X d x K 8 b K L X y I + 6 O I D x M d d f I x 4 v 4 v 3 W 5 m 7 + B D x p I s n i E + 6 + A T x W R e f / c c C a 3 k 6 3 1 C V u I 8 U 0 4 o I n 8 A v s w u f i t / W 6 e M 6 1 3 W L M c 6 P 6 M S i F 4 h e o A K I j i 1 6 i + g t v l m g u s 3 3 T D M f k G a 9 x h q 3 i v Y d H U 3 7 j l b V 3 b 5 j F z u j f S n t u V Y c t 1 v r g y 5 u i 7 r f x e 0 8 O 1 1 s j h N 8 S I 9 u f z Y v G + e P t 0 d P t p / + + G T j + W 7 z S X 3 P + c Z Z d x 4 5 I + c H 5 7 l z 4 E y c M 8 d z f n F + d X 5 z f h / 8 M X g / + H P w V x 1 6 9 0 6 T 8 5 X T u w Z / / w N A p 3 r T < / l a t e x i t > y2 < l a t e x i t s h a 1 _ b a s e 6 4 = " z Y W S K S v s p R z R d 3 O G 9 8 / M f D U H i M o = " > A A A M M X i c j Z b d T t x G F M e d 9 C t h + 5 G 0 6 l V v R i C k V K J 0 F 0 W q e l E p s C S A h N C W A I n S T d H Y O 7 a n 2 B 4 z M 2 b X W H 6 H 3 r a v 0 a f J X d X b v k T P 2 J 5 j m 9 1 W t Q Q + / p 1 z 5 u N / z n j t p h F X e j h 8 d + / + e + 9 / 8 O F H D x 6 u D T 7 + 5 N P P H j 3 + / E K J T H r s 3 B O R k K 9 d q l j E E 3 a u u Y 7 Y 6 1 Q y G r s R e + V e j Y 3 / 1 Q 2 T i o v k T O c p e x v T I O E + 9 6 g G d D H N 3 f h y 5 / L R x n B 7 W F 1 k 2 R g 1 x o b T X J P L x 4 M v p z P h Z T F L t B d R p X 4 a D V P 9 t q B S c y 9 i 5 d o 0 U y y l 3 h U N W O E K c a W p q 0 p S X 5 s k l c J n y q y J R t 9 c Z z T i O i c Q E j H V y 6 S x 8 k W i O 5 l u B C 5 X U D k j M d U h U X n s i m g p y 2 C b B F k 3 V C Z C h z w J e o E J 9 5 g v q d c O 7 4 k Y n N o O S 3 w h y e j b n S 3 C t L f d y 4 2 5 J 4 U R t L S 5 l o h A 0 j T M + x L E 5 U O 4 N g n X s F m P w O C z X o D H N S u r i E C K L C X w X B W o v 7 N q Z O 4 t S h P o 8 y C T d w Q z m m g B K 6 8 j Y P X r p k U S d n 2 9 3 t c o C o T k O o R F l x C J j 2 p 1 V H l X Y M O q 5 e q Q C c n u 5 L E k i 2 F D c b U K L U h I b x i J m N Z M E u N j c s X m 4 i z S X I p 5 W w 3 I D F h i g t m q 7 g C U R V S C G v 8 r P A z N G b m z E 5 n P V B g l 1 U J n A h Y 4 I y Z K E Z 4 Q W o / S S 1 h U J 6 5 c W 9 v c 3 C Q T K Y Q P k 1 g N d B 6 x I o 0 o T 0 r T 5 M Y g P z Q l 3 y I z 5 v O E m 3 0 D l C K m y d o 0 Y f M m u Y A z k Q p V + c t i 0 n n o R b W D l M V + a / d i m n t Z n D V G z x u x O K Z l c V z d e h 5 P S B G B o H l Z j N H s R c B B z + K 0 n n 2 3 t f u j w L Z h 7 n F 1 q 3 U S q S m K k C A V r N / 8 J c V 0 a 2 o 7 c 7 p V 1 g 4 q g 5 i D y 3 S x S O u 7 8 q F I w X Q L H G X Z i a O L f 4 m j C 4 y L e L w U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S p L l w K A 4 U p 4 4 i / 5 g a E f i r 9 A h 3 n A L Y i g X b o I L L 5 l E j H Y F v u 8 H Q V s i 2 f K R z y F R r R 8 P x m f n F C l i 2 K q 2 U I X 1 X P 5 8 x R Q 2 Z T O g 1 O q K b y C 6 4 x j o 0 R x f N k O p 3 m S k 1 q L J q X 3 i q v K 5 c Y w A / y j u F / X I h e R Z 5 G H i F n E E I U W h Y i U R Q r R w q K 2 F w K L A k S 5 R T m i W 4 t u E U m L J K J r i 6 4 R J R a 1 X Z p Z l C E 6 t u g Y 0 Y 1 F N 4 j m F s 0 R i Z g F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z X x u 5 i 2 L 5 F + 4 i O L D p a V V g y h 1 8 F A n 3 C J F + g 5 n U r V b L b J r J C o y v v u 2 4 7 r t t + 6 y 1 N F 1 K N U 4 E N S X M + Y 8 a y p W 4 y F U 2 a f j 2 D F s V e P c P N v e z i l 6 0 M X d x K 8 a K L X y A + 7 O J D x C d d f I L 4 o I s P W p m 7 + A j x p I s n i E + 7 + B T x e R e f / 8 c C a 3 k 6 3 1 C V u E 8 U 0 4 o I n 8 A v s w u f i l / X 6 e M 6 1 3 W L M c 6 P 6 N S i 5 4 i e o w K I T i x 6 g + g N v l m g u s 3 3 T D M f k G a 9 x h q 3 i v Y d H U 3 7 j l b V v b 5 j D z u j f S n t u 1 Y c t 1 v r w y 5 u i 3 r Q x e 0 8 u 1 1 s j h N 8 S I / u f j Y v G x c 7 2 6 O n 2 9 / / + H T j 2 V 7 z S f 3 A + c p Z d 5 4 4 I + c 7 5 5 l z 6 E y c c 8 d z f n F + d X 5 z f h / 8 M X g 3 + H P w V x 1 6 / 1 6 T 8 4 X T u w Z / / w N M b 3 r U < / l a t e x i t > y3 < l a t e x i t s h a 1 _ b a s e 6 4 = " + Z E 9 V J W A 0 / v P 3 i R A L A 4 k 0 L W s g n Y = " > A A A M M X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H d L Z U Q F 0 h N N m 0 S K Y q W N E m r s i U a e 8 f 2 E N v j z I y z 6 1 h + B 2 7 h N X i a 3 i F u e Q n O 2 J 5 j O 7 s g L C U + / p 1 z 5 u N / z n j t p h F X e j h 8 d + f u e + 9 / 8 O F H 9 + 6 v D T 7 + 5 N P P H j z 8 / F y J T H r s z B O R k K 9 d q l j E E 3 a m u Y 7 Y 6 1 Q y G r s R e + V e j o 3 / 1 T W T i o v k V O c p e x v T I O E + 9 6 g G d D 7 N 3 f j i 2 4 s H G 8 P t Y X W R Z W P U G B t O c 0 0 u H g 6 + n M 6 E l 8 U s 0 V 5 E l f p p N E z 1 2 4 J K z b 2 I l W v T T L G U e p c 0 Y I U r x K W m r i p J f W 2 S V A q f K b M m G n 1 z l d G I 6 5 x A S M R U L 5 P G y h e J 7 m S 6 E b h c Q e W M x F S H R O W x K 6 K l L I N t E m R d U 5 k I H f I k 6 A U m 3 G O + p F 4 7 v C d i c G o 7 L P G F J K P H T 7 Y I 0 9 5 2 L z f m n h R G 0 N L m W i I C S d M w 7 0 s Q l / f h 2 i R c w 2 Y 9 A o P P e g E e 1 6 y s I g I p s p T A c 1 W g / s 6 q k b m 3 K E 2 g z 4 N M 3 h L M a K I F r L y O g N W v m x Z J 2 N X V e l + j K B C S 6 x A W X U I k P q r V U e V t g Q 2 r l q t D J i S 7 l c e S L I Y N x d U q t C A h v W Y k Y l o z S Y y P y R W b i 7 N I c y n m b T U g M 2 C J C W a r u g N Q F l E J a v y v 8 D A 0 Z + T W T m Q + U 2 G U V A u d C V j g j J g o R X h C a D 1 K L 2 F R n b h y b W 1 z c 5 N M p B A + T G I 1 0 H n E i j S i P C l N k x u D / N C U f I v M m M 8 T b v Y N U I q Y J m v T h M 2 b 5 A L O R C p U 5 S + L S e e h F 9 U O U h Z 7 r d 2 L a e 5 l c d o Y P W / E 4 p i W x V F 1 6 3 k 8 I U U E g u Z l M U a z F w E H P Y v T e v a d 1 u 6 P A t u G u c f V r d Z J p K Y o Q o J U s H 7 z l x T T r a n t z O l W W T u o D G I O L t P F I q 3 v y o c i B d M t c J R l J 4 4 u / i W O L j A u 4 v F S E D D w Q 3 n A 4 L q O W z V p P R 9 p A l b M V k / U B K g s X Q o A h i v h i b / k B 4 Z + K P 4 C H e Y B t y C C d u k i s P i G S c R g W + z z d h S w L Z 4 p H / E U G t H y v W R 8 f E y V L o q p Z g t d V M / l z 1 N A Z V M 6 D 0 6 p p v A K r j O O j B L F 0 U U 7 n O Z J T m o t m p T e K 6 4 q l x v D D P C P 4 n 5 d i 1 x E n k U e I m Y R Q x R a F C J S F i l E C 4 v a X g g s C h D l F u W I b i y 6 Q S Q t k o i u L L p C l F j U d m l m U Y b o y K I j R N c W X S O a W z R H J G I W o I z 1 E / r g 4 O n W V z 2 V n T 4 R h s L f 0 L I d G 7 u D Y X s W 7 S E 6 t O h w V W H J H H 4 V C P Q J k 3 y B m t e t V M l u m 8 g K j a 6 8 7 7 r p u G 7 6 r b c 0 X U g 1 T g U 2 J M 3 5 j B n L l r r J V D R p + v U U W h R 7 9 R Q 3 9 7 K L X 7 Y y d H E r x Y s u f o H 4 o I s P E B 9 3 8 T H i / S 7 e b 2 X u 4 k P E k y 6 e I D 7 p 4 h P E Z 1 1 8 9 h 8 L r O X p f E N V 4 j 5 S T C s i f A K / z C 5 8 K n 5 d p 4 / r X N c t x j g / o h O L n i N 6 j g o g O r b o D a I 3 + G a B 6 j b f M 8 1 8 Q J r 1 G m v c K t p 3 d D T t O 1 p V d / u O X e y M 9 q W 0 5 1 p x 3 G 6 t D 7 q 4 L e p + F 7 f z 7 H S x O U 7 w I T 2 6 / d m 8 b J w / 2 R 4 9 3 f 7 + x 6 c b z 3 a b T + p 7 z l f O u v P I G T n f O c + c A 2 f i n D m e 8 4 v z q / O b 8 / v g j 8 G 7 w Z + D v + r Q u 3 e a n C + c 3 j X 4 + x 9 Y N 3 r V < / l a t e x i t > x1 < l a t e x i t s h a 1 _ b a s e 6 4 = " v h U M u r Z 9 S N t d a j I U E U q J L r g b I B g = " > A A A M M X i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O m m B q W l J N Y S K Z O U v W t B 7 9 B r + x p 9 m t y K X v s S H U r i S P J u i w q w N f r N D D / + M 9 T K z x K u z X D 4 7 s 7 d 9 9 7 / 4 M O P 7 t 1 f G 3 z 8 y a e f P X j 4 + U s t c x W w s 0 A m U r 3 2 q W Y J F + z M c J O w 1 5 l i N P U T 9 s q / G F v / q y u m N J f i 1 C w y 9 j a l k e A h D 6 g B 9 H I 6 9 9 P z 0 f m D j e H 2 s L r I s j F q j A 2 v u S b n D w d f T m c y y F M m T J B Q r X 8 a D T P z t q D K 8 C B h 5 d o 0 1 y y j w Q W N W O F L e W G o r 0 t S X 5 s k U z J k 2 q 6 J J t 9 c 5 j T h Z k E g J G G 6 l 0 l T H U p h O p l + A i 5 f U j U j K T U x 0 Y v U l 8 l S l s U u C b K u q B L S x F x E v U D B A x Y q G r T D B z I F p 3 H D k l A q M v r 2 8 R Z h J t j u 5 a Y 8 U N I K W r p c R 2 S k a B Y v + h K k 5 X 2 4 N g k 3 s N m A w O C z X k D A D S u r i E j J P C P w X B W o v 7 N q Z B 7 M S x s Y 8 i h X t w S z m h g J K 6 8 j Y P X r t k U E u 7 x c 7 2 u U R F J x E 8 O i S 4 j E R 7 0 6 q r w t s G X V c k 3 M p G K 3 8 p j I U 9 h Q W q 3 C S B L T K 0 Y S Z g x T x P q Y W r G 5 N E 8 M V / K 6 r Q Z k R k z Y Y L a q O w D l C V W g x v 8 K j 2 N 7 R m 7 t R C 1 m O k 5 E t d C Z h A X O i I 3 S h A t C 6 1 F 6 C f P q x J V r a 5 u b m 2 S i p A x h E q e B W S S s y B L K R W m b 3 B r k h 6 b k W 2 T G Q i 6 4 3 T d A J V M q 1 q a C X T f J B Z y J T O r K X x a T z k M v q h 2 k L P Z a u x f T 3 M v i t D F 6 3 o S l K S 2 L o + r W 8 w R S y Q Q E X Z T F G M 1 e B B z 0 P M 3 q 2 X d a u z 8 K b B v m H l e 3 W i e Z 2 a J I B V L B + u 2 f K K Z b U 9 e Z 0 6 2 y d l A V p R x c t o t l V t 9 1 C E W K p l v g K M t O H J 3 / S x y d Y 1 z C 0 6 U g Y O C H 8 o D B T R 2 3 a t J 6 P t I E r J i t n q g J 0 H m 2 F A A M V 8 J F u O Q H h n 4 o / h w d 9 g G 3 I K N 2 6 T J y + I Y p x G A 7 H P J 2 F L A d n u k Q 8 R Q a 0 f E 9 M T 4 + p t o U x d S w u S m q 5 / L n K a C y K V 0 A p 9 R Q e A X X G U d W i e L o v B 3 O c L E g t R Z N S u 8 V V 5 X L T 2 E G + E d x v 7 5 D P q L A o Q A R c 4 g h i h 2 K E W m H N K K 5 Q 2 0 v R A 5 F i B Y O L R D d O H S D S D m k E F 0 6 d I l I O N R 2 a e 5 Q j u j I o S N E V w 5 d I b p 2 6 B q R T F m E M t Z P 6 I O D Z 1 p f 9 V R 2 + k R a C n 9 D x 3 Z c 7 A 6 G 7 T m 0 h + j Q o c N V h S X X 8 K t A o E + Y 4 n P U v G 6 l S n b X R E 5 o d C 3 6 r p u O 6 6 b f e k v T x d T g V G B D 0 j W f M W u 5 U j e Z m o q m X 0 + h R b F X T 3 F z L 7 r 4 R S t D F 7 d S P O / i 5 4 g P u v g A 8 X E X H y P e 7 + L 9 V u Y u P k Q 8 6 e I J 4 p M u P k F 8 1 s V n / 7 H A W p 7 O N 1 Q l 7 i P N j C Y y J P D L 7 M O n 4 t d 1 + r j O 9 f 1 i j P M j O n H o G a J n q A C i Y 4 f e I H q D b x a o b v M 9 0 8 w H p F m v t c a t o n 1 H R 9 O + o 1 V 1 t + / Y x c 5 o X 0 p 7 v h P H 7 9 b 6 o I v b o u 5 3 c T v P T h f b 4 w Q f 0 q P b n 8 3 L x s v H 2 6 M n 2 9 / / + G T j 6 W 7 z S X 3 P + 8 p b 9 x 5 5 I + 8 7 7 6 l 3 4 E 2 8 M y / w f v F + 9 X 7 z f h / 8 M X g 3 + H P w V x 1 6 9 0 6 T 8 4 X X u w Z / / w M 0 2 3 r S < / l a t e x i t >

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< l a t e x i t s h a 1 _ b a s e 6 4 = " u V o S k j I + 4 Y o f A + A h U 7 / E H / C y Z d k = " > A A A M M X i c j Z b d T t x G F M e d 9 C t h + 5 G 0 6 l V v R i C k V K J 0 F 0 W q e l E p s C S A h N C W A I l S p 2 j s H d t T b I + Z G b O 7 W H 6 H 3 r a v 0 a f J X d X b v k T P 2 J 5 j m 9 1 W t Q Q + / p 1 z 5 u N / z n j t Z T F X e j h 8 d + / + e + 9 / 8 O F H D x 6 u D T 7 + 5 N P P H j 3 + / E K J X P r s 3 B e x k K 8 9 q l j M U 3 a u u Y 7 Z 6 0 w y m n g x e + V d j Y 3 / 1 Q 2 T i o v 0 T C 8 y 9 j a h Y c o D 7 l M N 6 M K d e 8 n l z u W j j e H 2 s L r I s j F q j A 2 n u S a X j w d f u l P h 5 w l L t R 9 T p X 4 a D T P 9 t q B S c z 9 m 5 Z q b K 5 Z R / 4 q G r P C E u N L U U y W p r 0 2 S S R E w Z d Z E 4 2 + u c x p z v S A Q E j P V y 6 S J C k S q O 5 l e D C 5 P U D k l C d U R U Y v E E / F S l s E 2 C b J u q E y F j n g a 9 g J T 7 r N A U r 8 d 3 h c J O L U d l g R C k t G 3 O 1 u E a X + 7 l 5 t w X w o j a G l z L R G h p F m 0 6 E u Q l A / h 2 i R c w 2 Z 9 A o N P e w E + 1 6 y s I k I p 8 o z A c 1 W g / s 6 q k b k / L 0 1 g w M N c 3 h H M a K I F r L y O g N W v m x Z J 2 f X 1 e l + j O B S S 6 w g W X U I k P q r V U e V d g Q 2 r l q s j J i S 7 k 8 f S P I E N J d U q t C A R v W E k Z l o z S Y y P y R W b S / J Y c y l m b T U g M 2 S p C W a r u g N Q H l M J a v y v 8 C g y Z + T O T u R i q q I 4 r R Y 6 F b D A K T F R i v C U 0 H q U X s K 8 O n H l 2 t r m 5 i a Z S C E C m M R q o B c x K 7 K Y 8 r Q 0 T W 4 M 8 k N T 8 i 0 y Z Q F P u d k 3 Q C k S m q 6 5 K Z s 1 y Q W c i U y o y l 8 W k 8 5 D L 6 o d p C z 2 W 7 s X 0 9 z L 4 q w x e t 6 Y J Q k t i + P q 1 v P 4 Q o o Y B F 2 U x R j N X g Q c 9 D z J 6 t l 3 W 7 s / C m w b 5 h 5 X t 1 o n k Z m i C A l S w f r N X 1 q 4 W 6 7 t T H e r r B 1 U h g k H l + l i k d V 3 F U C R Q n c L H G X Z i a P z f 4 m j c 4 y L e b I U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S r P l g K A 4 U p 4 G i z 5 g a E f i j 9 H h 3 n A L Y i w X b o I L b 5 l E j H Y F g e 8 H Q V s i 6 c q Q O x C I 1 q + n 4 5 P T q j S R e F q N t d F 9 V z + 7 A I q m 9 L 5 c E o 1 h V d w n X F s l C i O L 9 v h N E 8 X p N a i S e m 9 4 q p y e Q n M A P 8 o 7 t e z y E P k W + Q j Y h Y x R J F F E S J l k U I 0 t 6 j t h d C i E N H C o g W i W 4 t u E U m L J K J r i 6 4 R p R a 1 X Z p b l C M 6 t u g Y 0 Y 1 F N 4 h m F s 0 Q i Y S F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z X x u 5 i 2 L 5 F + 4 i O L D p a V V g y g 1 8 F A n 3 C J J + j 5 n U r V b L b J r J C o 2 v R d 9 1 2 X L f 9 1 l u a L q I a p w I b k m Z 8 y o x l S 9 1 k K p o 2 / X o G L Y q 9 e o a b e 9 n F L 1 s Z u r i V 4 k U X v 0 B 8 2 M W H i E + 6 + A T x Q R c f t D J 3 8 R H i S R d P E J 9 2 8 S n i 8 y 4 + / 4 8 F 1 v J 0 v q E q c Z 8 o p h U R A Y F f Z g 8 + F b + u 0 8 d 1 r u c V Y 5 w f 0 a l F z x E 9 R w U Q n V j 0 B t E b f L N A d Z v v m W Y + I M 1 6 j T V u F e 0 7 O p r 2 H a 2 q e 3 3 H H n Z G + 1 L a 9 6 w 4 X r f W h 1 3 c F v W g i 9 t 5 d r v Y H C f 4 k B 7 d / W x e N i 5 2 t k d P t 7 / / 8 e n G s 7 3 m k / q B 8 5 W z 7 j x x R s 5 3 z j P n 0 J k 4 5 4 7 v / O L 8 6 v z m / D 7 4 Y / B u 8 O f g r z r 0 / r 0 m 5 w u n d w 3 + / g d A o 3 r T < / l a t e x i t >

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< l a t e x i t s h a 1 _ b a s e 6 4 = " P d x 5 M w e 0 m 4 x 5 n t I 0 P C N a N 3 h W A 4 g = " > A A A M M X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H d L Z U Q F 0 h N N m 0 S K Y q W N E m r 4 h K N v W N 7 i O 1 x Z s b Z 3 V h + B 2 7 h N X i a 3 i F u e Q n O 2 J 5 j O 7 s g L C U + / p 1 z 5 u N / z n j t Z T F X e j h 8 d + f u e + 9 / 8 O F H 9 + 6 v D T 7 + 5 N P P H j z 8 / F y J X P r s z B e x k K 8 9 q l j M U 3 a m u Y 7 Z 6 0 w y m n g x e + V d j o 3 / 1 T W T i o v 0 V C 8 y 9 j a h Y c o D 7 l M N 6 N y d e 8 n F t x c P N o b b w + o i y 8 a o M T a c 5 p p c P B x 8 6 U 6 F n y c s 1 X 5 M l f p p N M z 0 2 4 J K z f 2 Y l W t u r l h G / U s a s s I T 4 l J T T 5 W k v j Z J J k X A l F k T j b + 5 y m n M 9 Y J A S M x U L 5 M m K h C p 7 m R 6 M b g 8 Q e W U J F R H R C 0 S T 8 R L W Q b b J M i 6 p j I V O u J p 2 A t M u c 8 C S f 1 2 e F 8 k 4 N R 2 W B I I S U a P n 2 w R p v 3 t X m 7 C f S m M o K X N t U S E k m b R o i 9 B U t 6 H a 5 N w D Z v 1 C Q w + 7 Q X 4 X L O y i g i l y D M C z 1 W B + j u r R u b + v D S B A Q 9 z e U s w o 4 k W s P I 6 A l a / b l o k Z V d X 6 3 2 N 4 l B I r i N Y d A m R + K h W R 5 W 3 B T a s W q 6 O m J D s V h 5 L 8 w Q 2 l F S r 0 I J E 9 J q R m G n N J D E + J l d s L s l j z a W Y t d W A z J C l J p i t 6 g 5 A e U w l q P G / w q P I n J F b O 5 G L q Y r i t F r o V M A C p 8 R E K c J T Q u t R e g n z 6 s S V a 2 u b m 5 t k I o U I Y B K r g V 7 E r M h i y t P S N L k x y A 9 N y b f I l A U 8 5 W b f A K V I a L r m p m z W J B d w J j K h K n 9 Z T D o P v a h 2 k L L Y a + 1 e T H M v i 9 P G 6 H l j l i S 0 L I 6 q W 8 / j C y l i E H R R F m M 0 e x F w 0 P M k q 2 f f a e 3 + K L B t m H t c 3 W q d R G a K I i R I B e s 3 f 2 n h b r m 2 M 9 2 t s n Z Q G S Y c X K a L R V b f V Q B F C t 0 t c J R l J 4 7 O / y W O z j E u 5 s l S E D D w Q 3 n A 4 L q O W z V p P R 9 p A l b M V k / U B K g 8 W w o A h i v h a b D k B 4 Z + K P 4 c H e Y B t y D C d u k i t P i G S c R g W x z w d h S w L Z 6 q A L E L j W j 5 X j o + P q Z K F 4 W r 2 V w X 1 X P 5 s w u o b E r n w y n V F F 7 B d c a R U a I 4 u m i H 0 z x d k F q L J q X 3 i q v K 5 S U w A / y j u F / P I g + R b 5 G P i F n E E E U W R Y i U R Q r R 3 K K 2 F 0 K L Q k Q L i x a I b i y 6 Q S Q t k o i u L L p C l F r U d m l u U Y 7 o y K I j R N c W X S O a W T R D J B I W o o z 1 E / r g 4 O n W V z 2 V n T 4 R h s L f 0 L I d G 7 u D Y X s W 7 S E 6 t O h w V W H J D H 4 V C P Q J k 3 y O m t e t V M l u m 8 g K j a 5 F 3 3 X T c d 3 0 W 2 9 p u o h q n A p s S J r x K T O W L X W T q W j a 9 O s p t C j 2 6 i l u 7 m U X v 2 x l 6 O J W i h d d / A L x Q R c f I D 7 u 4 m P E + 1 2 8 3 8 r c x Y e I J 1 0 8 Q X z S x S e I z 7 r 4 7 D 8 W W M v T + Y a q x H 2 k m F Z E B A R + m T 3 4 V P y 6 T h / X u Z 5 X j H F + R C c W P U f 0 H B V A d G z R G 0 R v 8 M 0 C 1 W 2 + Z 5 r 5 g D T r N d a 4 V b T v 6 G j a d 7 S q 7 v Y d u 9 g Z 7 U t p z 7 P i e N 1 a H 3 R x W 9 T 9 L m 7 n 2 e l i c 5 z g Q 3 p 0 + 7 N 5 2 T h / s j 1 6 u v 3 9 j 0 8 3 n u 0 2 n 9 T 3 n K + c d e e R M 3 K + c 5 4 5 B 8 7 E O X N 8 5 x f n V + c 3 5 / f B H 4 N 3 g z 8 H f 9 W h d + 8 0 O V 8 4 v W v w 9 z 9 M a 3 r U < / l a t e x i t > Core 1 Core 2 Core 3 (b) x < l a t e x i t s h a 1 _ b a s e 6 4 = " v h H S B t / e H / o l X B M G x Z 6 V P o u z v 4 s = " > A A A M L 3 i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O k m B q W l J M I S K Z O U d 9 e C X q H X 9 j X 6 N E U v R a 9 9 i w 4 l c S R 5 3 a I C b I 1 + M 8 O P / w y 1 8 r O E a z M c / n H n 7 n v v f / D h R / f u r w 0 + / u T T z x 4 8 / P y l l r k K 2 F k g E 6 l e + 1 S z h A t 2 Z r h J 2 O t M M Z r 6 C X v l X 4 y t / 9 U V U 5 p L c W q W G X u b 0 k j w k A f U W D R d + O n 5 g 4 3 h 9 r C 6 y K o x a o w N r 7 k m 5 w 8 H X 0 5 n M s h T J k y Q U K 1 / G g 0 z 8 7 a g y v A g Y e X a N N c s o 8 E F j V j h S 3 l h q K 9 L U l + b J F M y Z N q u i C b f X O Y 0 4 W Z J I C R h u p d J U x 1 K Y T q Z f g I u X 1 I 1 I y k 1 M d H L 1 J f J S p b F L g m y r q g S 0 s R c R L 1 A w Q M W K h q 0 w w c y B a d x w 5 J Q K j L 6 9 v E W Y S b Y 7 u W m P F D S y l m 6 X E d k p G g W L / s S p O V 9 u D Y J N 7 D Z g M D g s 1 5 A w A 0 r q 4 h I y T w j 8 F y V p 7 + z a m Q e L E o b G P I o V z c E s 5 o Y C S u v I 2 D 1 6 7 Z B B L u 8 X O 9 r l E R S c R P D o k u I x E d 9 e 1 R 5 U 2 D L q u W a m E n F b u Q x k a e w o b R a h Z E k p l e M J M w Y p o j 1 M X X L 5 t I 8 M V z J e V s N y I y Y s M H s t u 4 A l C d U g R r / K z y O 7 Q m 5 s R O 1 n O k 4 E d V C Z x I W O C M 2 S h M u C K 1 H 6 S U s q v N W r q 1 t b m 6 S i Z I y h E m c B m a Z s C J L K B e l b X J r k B + a k m + R G Q u 5 4 H b f A J V M q V i b C j Z v k g s 4 E 5 n U l b 8 s J p 2 H X l Q 7 S F n s t X Y v p r m X x W l j 9 L w J S 1 N a F k f V r e c J p J I J C L o s i z G a v Q g 4 6 H m a 1 b P v t H Z / F N g 2 z D 2 u b r V O M r N F k Q q k g v X b P 1 F M t 6 a u M 6 d b Z e 2 g K k o 5 u G w X y 6 y + 6 x C K F E 2 3 w F G W n T i 6 + J c 4 u s C 4 h K c r Q c D A D + U B g 5 s 6 7 r Z J 6 / l I E 3 D L b P V E T Y D O s 5 U A Y L g S L s I V P z D 0 Q / E X 6 L A P u A U Z t U u X k c P X T C E G 2 + G Q t 6 O A 7 f B M h 4 i n 0 I i O 7 4 n x 8 T H V p i i m h i 1 M U T 2 X 7 6 a A y q Z 0 A Z x S Q + E V X G c c W S W K o / N 2 O M P F k t R a N C m 9 V 1 x V L j + F G e A f x f 3 6 D v m I A o c C R M w h h i h 2 K E a k H d K I F g 6 1 v R A 5 F C F a O r R E d O 3 Q N S L l k E J 0 6 d A l I u F Q 2 6 W 5 Q z m i I 4 e O E F 0 5 d I V o 7 t A c k U x Z h D L W T + i D g 2 d a X / V U d v p E W g p / Q 8 d 2 X O w O h u 0 5 t I f o 0 K H D 2 w p L 5 v C r Q K B P m O I L 1 L x u p U p 2 1 0 R O a H Q t + 6 7 r j u u 6 3 3 o r 0 8 X U 4 F R g Q 9 K c z 5 i 1 X K m b T E 1 F 0 6 + n 0 K L Y q 6 e 4 u R d d / K K V o Y t b K Z 5 3 8 X P E B 1 1 8 g P i 4 i 4 8 R 7 3 f x f i t z F x 8 i n n T x B P F J F 5 8 g P u v i s / 9 Y Y C 1 P 5 x u q E v e R Z k Y T G R L 4 Z f b h Q / H r O n 1 c 5 / p + M c b 5 E Z 0 4 9 A z R M 1 Q A 0 b F D b x C 9 w T c L V L f 5 n m n m A 9 K s 1 1 r j V t G + o 6 N p 3 9 G q u t t 3 7 G J n t C + l P d + J 4 3 d r f d D F b V H 3 u 7 i d Z 6 e L 7 X G C D + n R z c / m V e P l 4 + 3 R k + 3 v f 3 y y 8 X S 3 + a S + 5 3 3 l r X u P v J H 3 n f f U O / A m 3 p k X e L H 3 s / e L 9 + v g t 8 H v g z 8 H f 9 W h d + 8 0 O V 9 4 v W v w 9 z 8 x 7 3 o u < / l a t e x i t > y < l a t e x i t s h a 1 _ b a s e 6 4 = " M j Y p u y n c O H W p k p + 5 I O x K O z K N i 3 Y = " > A A A M L 3 i c j Z b N b t t G E M e Z 9 C u R + p G 0 6 K m X h Q 0 D K e C 6 U h C g 6 K F A b D m x D R i G 6 t h J k C o x l t S S X J j k 0 r t L S z T B V + i 1 f Y 0 + T d F L 0 W v f o r M k d 0 h a a l E C N o e / m d m P / 8 x S d N O I K z 0 a / X H n 7 n v v f / D h R / f u D 4 Y f f / L p Z w 8 e f v 5 S i U x 6 7 N w T k Z C v X a p Y x B N 2 r r m O 2 O t U M h q 7 E X v l X k 6 M / 9 U 1 k 4 q L 5 E z n K X s b 0 y D h P v e o N m i W u / H F g 8 3 R z q i 6 y K o x b o x N p 7 m m F w + H X 8 7 m w s t i l m g v o k r 9 N B 6 l + m 1 B p e Z e x M r B L F M s p d 4 l D V j h C n G p q a t K U l 9 b J J X C Z 8 q s i E b f X G U 0 4 j o n E B I x 1 c u k s f J F o j u Z b g Q u V 1 A 5 J z H V I V F 5 7 I p o J c t g m w R Z 1 1 Q m Q o c 8 C X q B C f e Y L 6 n X D u + J G J z a D k t 8 I c n 4 2 8 f b h G l v p 5 c b c 0 8 K I 2 d p c y 0 R g a R p m P c l i M v 7 c G 0 R r m G z H o H B 5 7 0 A j 2 t W V h G B F F l K 4 L k q T 3 9 n 1 c j c W 5 Y m 0 O d B J m 8 J Z j T R A l Z e R 8 D q N 0 y D J O z q a q O v U R Q I y X U I i y 4 h E h / V + q j y t s C G V c v V I R O S 3 c p j S R b D h u J q F V q Q k F 4 z E j G t m S T G x + S a z c V Z p L k U i 7 Y a k B m w x A S z d d 0 B K I u o B D X + V 3 g Y m h N y a y c y n 6 s w S q q F z g U s c E 5 M l C I 8 I b Q e p Z e w r M 5 b O R h s b W 2 R q R T C h 0 m s B j q P W J F G l C e l a X J j k B + a k m + T O f N 5 w s 2 + A U o R 0 2 Q w S 9 i i S S 7 g T K R C V f 6 y m H Y e e l H t I G W x 3 9 q 9 m O Z e F m e N 0 f N G L I 5 p W R x X t 5 7 H E 1 J E I G h e F h M 0 e x F w 0 L M 4 r W f f b e 3 + K L B t m H t S 3 W q d R G q K I i R I B e s 3 f 0 k x 2 5 7 Z z p x t l 7 W D y i D m 4 D J d L N L 6 r n w o U j D b B k d Z d u L o 8 l / i 6 B L j I h 6 v B A E D P 5 Q H D K 7 r u H W T 1 v O R J m D N b P V E T Y D K 0 p U A Y L g S n v g r f m D o h + I v 0 W E e c A s i a J c u A o t v m E Q M t s U + b 0 c B 2 + K 5 8 h H P o B E t 3 0 8 m J y d U 6 a K Y a b b U R f V c v p s B K p v S e X B K N Y V X c J 1 x b J Q o j i / a 4 T R P c l J r 0 a T 0 X n F V u d w Y Z o B / F P f r W u Q i 8 i z y E D G L G K L Q o h C R s k g h W l r U 9 k J g U Y A o t y h H d G P R D S J p k U R 0 Z d E V o s S i t k s z i z J E x x Y d I 7 q 2 6 B r R w q I F I h G z A G W s n 9 A H B 0 + 3 v u q p 7 P S J M B T + R p b t 2 t h d D N u 3 a B / R k U V H 6 w p L F v C r Q K B P m O R L 1 L x u p U p 2 2 0 R W a H T l f d d N x 3 X T b 7 2 V 6 U K q c S q w I W n B 5 8 x Y t t R N p q J J 0 6 9 n 0 K L Y q 2 e 4 u R d d / K K V o Y t b K Z 5 3 8 X P E h 1 1 8 i P i k i 0 8 Q H 3 T x Q S t z F x 8 h n n b x F P F p F 5 8 i P u / i 8 / 9 Y Y C 1 P 5 x u q E v e R Y l o R 4 R P 4 Z X b h Q / H r O n 1 S 5 7 p u M c H 5 E Z 1 a 9 A z R M 1 Q A 0 Y l F b x C 9 w T c L V L f 5 n m n m A 9 K s 1 1 i T V t G + o 6 N p 3 9 G q u t d 3 7 G F n t C + l f d e K 4 3 Z r f d j F b V E P u r i d Z 7 e L z X G C D + n x 7 c / m V e P l 4 5 3 x k 5 3 v f 3 y y + X S v + a S + 5 3 z l b D i P n L H z n f P U O X S m z r n j O a H z s / O L 8 + v w t + H v w z + H f 9 W h d + 8 0 O V 8 4 v W v 4 9 z 8 9 u X o v < / l a t e x i t > { < l a t e x i t s h a 1 _ b a s e 6 4 = " L L E K 5 X g X i l B M S F b V Z z v Q S t t a / / w = " > A A A M L X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s R k i I C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R l n d 2 P 5 D b i F 1 + B p u E B C 3 P I a n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P e / X f e f e / 9 D x 4 8 X B t 8 + N H H n z x 6 / O l L L X M V s P N A J l K 9 9 q l m C R f s 3 H C T s N e Z Y j T 1 E / b K v x x b / 6 t r p j S X 4 s w s M / Y 2 p Z H g I Q + o A X Q 6 L S 4 e b Q y 3 h 9 V F V o 1 R Y 2 x 4 z T W 5 e D z 4 f D q T Q Z 4 y Y Y K E a v 3 j a J i Z t w V V h g c J K 9 e m u W Y Z D S 5 p x A p f y k t D f V 2 S + t o k m Z I h 0 3 Y 9 N P n q K q c J N 0 s C I Q n T v U y a 6 l A K 0 8 n 0 E 3 D 5 k q o Z S a m J i V 6 m v k x W s i x 2 S Z B 1 T Z W Q J u Y i 6 g U K H r B Q 0 a A d P p A p O I 0 b l o R S k d H X O 1 u E m W C 7 l 5 v y Q E k r Z u l y H Z G R o l m 8 7 E u Q l g / h 2 i T c w G Y D A o P P e g E B N 6 y s I i I l 8 4 z A c 1 W c / s 6 q k X m w K G 1 g y K N c 3 R L M a m I k r L y O g N W v 2 / Y Q 7 O p q v a 9 R E k n F T Q y L L i E S H / X d U e V t g S 2 r l m t i J h W 7 l c d E n s K G 0 m o V R p K Y X j O S M G O Y I t b H 1 B 2 b S / P E c C X n b T U g M 2 L C B r O 7 u g N Q n l A F a v y v 8 D i 2 5 + P W T t R y p u N E V A u d S V j g j N g o T b g g t B 6 l l 7 C o T l u 5 t r a 5 u U k m S s o Q J n E a m G X C i i y h X J S 2 y a 1 B v m 9 K v k V m L O S C 2 3 0 D V D K l Y m 0 q 2 L x J L u B M Z F J X / r K Y d B 5 6 U e 0 g Z b H f 2 r 2 Y 5 l 4 W Z 4 3 R 8 y Y s T W l Z H F e 3 n i e Q S i Y g 6 L I s x m j 2 I u C g 5 2 l W z 7 7 b 2 v 1 R Y N s w 9 7 i 6 1 T r J z B Z F K p A K 1 m / / R D H d m r r O n G 6 V t Y O q K O X g s l 0 s s / q u Q y h S N N 0 C R 1 l 2 4 u j i X + L o A u M S n q 4 E A Q M / l A c M b u q 4 u y a t 5 y N N w B 2 z 1 R M 1 A T r P V g K A 4 U q 4 C F f 8 w N A P x V + g w z 7 g F m T U L l 1 G D t 8 w h R h s h 0 P e j g K 2 w z M d I p 5 C I z q + L 8 Y n J 1 S b o p g a t j B F 9 V z + N A V U N q U L 4 J Q a C q / g O u P Y K l E c X 7 T D G S 6 W p N a i S e m 9 4 q p y + S n M A P 8 o 7 t d 3 y E c U O B Q g Y g 4 x R L F D M S L t k E a 0 c K j t h c i h C N H S o S W i G 4 d u E C m H F K I r h 6 4 Q C Y f a L s 0 d y h E d O 3 S M 6 N q h a 0 R z h + a I Z M o i l L F + Q h 8 c P N P 6 q q e y 0 y f S U v g b O r b r Y n c x b N + h f U R H D h 3 d V V g y h 1 8 F A n 3 C F F + g 5 n U r V b K 7 J n J C o 2 v Z d 9 1 0 X D f 9 1 l u Z L q Y G p w I b k u Z 8 x q z l S t 1 k a i q a f j 2 D F s V e P c P N v e j i F 6 0 M X d x K 8 b y L n y M + 7 O J D x C d d f I L 4 o I s P W p m 7 + A j x p I s n i E + 7 + B T x e R e f / 8 c C a 3 k 6 3 1 C V u E 8 0 M 5 r I k M A v s w + f i V / W 6 e M 6 1 / e L M c 6 P 6 N S h Z 4 i e o Q K I T h x 6 g + g N v l m g u s 3 3 T D M f k G a 9 1 h q 3 i v Y d H U 3 7 j l b V v b 5 j D z u j f S n t + 0 4 c v 1 v r w y 5 u i 3 r Q x e 0 8 u 1 1 s j x N 8 S I 9 u f z a v G i 9 3 t k f f b H / 3 w 8 7 G 0 7 3 m k / q B 9 4 W 3 7 j 3 x R t 6 3 3 l P v 0 J t 4 5 1 7 g h d 7 P 3 i / e r 4 P f B r 8 P / h z 8 V Y f e v 9 f k f O b 1 r s H f / w B s + X l M < / l a t e x i t > x2 < l a t e x i t s h a 1 _ b a s e 6 4 = " u V o S k j I + 4 Y o f A + A h U 7 / E H / C y Z d k = " > A A A M M X i c j Z b d T t x G F M e d 9 C t h + 5 G 0 6 l V v R i C k V K J 0 F 0 W q e l E p s C S A h N C W A I l S p 2 j s H d t T b I + Z G b O 7 W H 6 H 3 r a v 0 a f J X d X b v k T P 2 J 5 j m 9 1 W t Q Q + / p 1 z 5 u N / z n j t Z T F X e j h 8 d + / + e + 9 / 8 O F H D x 6 u D T 7 + 5 N P P H j 3 + / E K J X P r s 3 B e x k K 8 9 q l j M U 3 a u u Y 7 Z 6 0 w y m n g x e + V d j Y 3 / 1 Q 2 T i o v 0 T C 8 y 9 j a h Y c o D 7 l M N 6 M K d e 8 n l z u W j j e H 2 s L r I s j F q j A 2 n u S a X j w d f u l P h 5 w l L t R 9 T p X 4 a D T P 9 t q B S c z 9 m 5 Z q b K 5 Z R / 4 q G r P C E u N L U U y W p r 0 2 S S R E w Z d Z E 4 2 + u c x p z v S A Q E j P V y 6 S J C k S q O 5 l e D C 5 P U D k l C d U R U Y v E E / F S l s E 2 C b J u q E y F j n g a 9 g J T 7 r N A U r 8 d 3 h c J O L U d l g R C k t G 3 O 1 u E a X + 7 l 5 t w X w o j a G l z L R G h p F m 0 6 E u Q l A / h 2 i R c w 2 Z 9 A o N P e w E + 1 6 y s I k I p 8 o z A c 1 W g / s 6 q k b k / L 0 1 g w M N c 3 h H M a K I F r L y O g N W v m x Z J 2 f X 1 e l + j O B S S 6 w g W X U I k P q r V U e V d g Q 2 r l q s j J i S 7 k 8 f S P I E N J d U q t C A R v W E k Z l o z S Y y P y R W b S / J Y c y l m b T U g M 2 S p C W a r u g N Q H l M J a v y v 8 C g y Z + T O T u R i q q I 4 r R Y 6 F b D A K T F R i v C U 0 H q U X s K 8 O n H l 2 t r m 5 i a Z S C E C m M R q o B c x K 7 K Y 8 r Q 0 T W 4 M 8 k N T 8 i 0 y Z Q F P u d k 3 Q C k S m q 6 5 K Z s 1 y Q W c i U y o y l 8 W k 8 5 D L 6 o d p C z 2 W 7 s X 0 9 z L 4 q w x e t 6 Y J Q k t i + P q 1 v P 4 Q o o Y B F 2 U x R j N X g Q c 9 D z J 6 t l 3 W 7 s / C m w b 5 h 5 X t 1 o n k Z m i C A l S w f r N X 1 q 4 W 6 7 t T H e r r B 1 U h g k H l + l i k d V 3 F U C R Q n c L H G X Z i a P z f 4 m j c 4 y L e b I U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S r P l g K A 4 U p 4 G i z 5 g a E f i j 9 H h 3 n A L Y i w X b o I L b 5 l E j H Y F g e 8 H Q V s i 6 c q Q O x C I 1 q + n 4 5 P T q j S R e F q N t d F 9 V z + 7 A I q m 9 L 5 c E o 1 h V d w n X F s l C i O L 9 v h N E 8 X p N a i S e m 9 4 q p y e Q n M A P 8 o 7 t e z y E P k W + Q j Y h Y x R J F F E S J l k U I 0 t 6 j t h d C i E N H C o g W i W 4 t u E U m L J K J r i 6 4 R p R a 1 X Z p b l C M 6 t u g Y 0 Y 1 F N 4 h m F s 0 Q i Y S F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z X x u 5 i 2 L 5 F + 4 i O L D p a V V g y g 1 8 F A n 3 C J J + j 5 n U r V b L b J r J C o 2 v R d 9 1 2 X L f 9 1 l u a L q I a p w I b k m Z 8 y o x l S 9 1 k K p o 2 / X o G L Y q 9 e o a b e 9 n F L 1 s Z u r i V 4 k U X v 0 B 8 2 M W H i E + 6 + A T x Q R c f t D J 3 8 R H i S R d P E J 9 2 8 S n i 8 y 4 + / 4 8 F 1 v J 0 v q E q c Z 8 o p h U R A Y F f Z g 8 + F b + u 0 8 d 1 r u c V Y 5 w f 0 a l F z x E 9 R w U Q n V j 0 B t E b f L N A d Z v v m W Y + I M 1 6 j T V u F e 0 7 O p r 2 H a 2 q e 3 3 H H n Z G + 1 L a 9 6 w 4 X r f W h 1 3 c F v W g i 9 t 5 d r v Y H C f 4 k B 7 d / W x e N i 5 2 t k d P t 7 / / 8 e n G s 7 3 m k / q B 8 5 W z 7 j x x R s 5 3 z j P n 0 J k 4 5 4 7 v / O L 8 6 v z m / D 7 4 Y / B u 8 O f g r z r 0 / r 0 m 5 w u n d w 3 + / g d A o 3 r T < / l a t e x i t > < l a t e x i t s h a 1 _ b a s e 6 4 = " P d x 5 M w e 0 m 4 x 5 n t I  0 P C N a N 3 h W A 4 g = " > A A A M M X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H d L Z U Q F 0 h N N m 0 S K Y q W N E m r 4 h K N v W N 7 i O 1 x Z s b Z 3 V h + B 2 7 h N X i a 3 i F u e Q n O U 6 F n y c s 1 X 5 M l f p p N M z 0 2 4 J K z f 2 Y l W t u r l h G / U s a s s I T 4 l J T T 5 W k v j Z J J k X A l F k T j b + 5 y m n M 9 Y J A S M x U L 5 M m K h C p 7 m R 6 M b g 8 Q e W U J F R H R C 0 S T 8 R L W Q b b J M i 6 p j I V O u J p 2 A t M u c 8 C S f 1 2 e F 8 k 4 N R 2 W B I I S U a P n 2 w R p v 3 t X m 7 C f S m M o K X N t U S E k m b R o i 9 B U t 6 H a 5 N w D Z v 1 C Q w + 7 Q X 4 X L O y i g i l y D M C z 1 W B + j u r R u b + v D S B A Q 9 z e U s w o 4 k W s P I 6 A l a / b l o k Z V d X 6 3 2 N 4 l B I r i N Y d A m R + K h W R 5 W 3 B T a s W q 6 O m J D s V h 5 L 8 w Q 2 l F S r 0 I J E 9 J q R m G n N J D E + J l d s L s l j z a W Y t d W A z J C l J p i t 6 g 5 A e U w l q P G / w q P I n J F b O 5 G L q Y r i t F r o V M A C p 8 R E K c J T Q u t R e g n z 6 s S V a 2 u b m 5 t k I o U I Y B K r g V 7 E r M h i y t P S N L k x y A 9 N y b f I l A U 8 5 W b f A K V I a L r m p m z W J B d w J j K h K n 9 Z T D o P v a h 2 k L L Y a + 1 e T H M v i 9 P G 6 H l j l i S 0 L I 6 q W 8 / j C y l i E H R R F m M 0 e x F w 0 P M k q 2 f f a e 3 + K L B t m H t c 3 W q d R G a K I i R I B e s 3 f 2 n h b r m 2 M 9 2 t s n Z Q G S Y c X K a L R V b f V Q B F C t 0 t c J R l J 4 7 O / y W O z j E u 5 s l S E D D w Q 3 n A 4 L q O W z V p P R 9 p A l b M V k / U B K g 8 W w o A h i v h a b D k B 4 Z + K P 4 c H e Y B t y D C d u k i t P i G S c R g W x z w d h S w L Z 6 q A L E L j W j 5 X j o + P q Z K F 4 W r 2 V w X 1 X P 5 s w u o b E r n w y n V F F 7 B d c a R U a I 4 u m i H 0 z x d k F q L J q X 3 i q v K 5 S U w A / y j u F / P I g + R b 5 G P i F n E E E U W R Y i U R Q r R 3 K K 2 F 0 K L Q k Q L i x a I b i y 6 Q S Q t k o i u L L p C l F r U d m l u U Y 7 o y K I j R N c W X S O a W T R D J B I W o o z 1 E / r g 4 O n W V z 2 V n T 4 R h s L f 0 L I d G 7 u D Y X s W 7 S E 6 t O h w V W H J D H 4 V C P Q J k 3 y O m t e t V M l u m 8 g K j a 5 F 3 3 X T c d 3 0 W 2 9 p u o h q n A p s S J r x K T O W L X W T q W j a 9 O s p t C j 2 6 i l u 7 m U X v 2 x l 6 O J W i h d d / A L x Q R c f I D 7 u 4 m P E + 1 2 8 3 8 r c x Y e I J 1 0 8 Q X z S x S e I z 7 r 4 7 D 8 W W M v T + Y a q x H 2 k m F Z E B A R + m T 3 4 V P y 6 T h / X u Z 5 X j H F + R C c W P U f 0 H B V A d G z R G 0 R v 8 M 0 C 1 W 2 + Z 5 r 5 g D T r N d a 4 V b T v 6 G j a d 7 S q 7 v Y d u 9 g Z 7 U t p z 7 P i e N 1 a H 3 R x W 9 T 9 L m 7 n 2 e l i c 5 z g Q 3 p 0 + 7 N 5 2 T h / s j 1 6 u v 3 9 j 0 8 3 n u 0 2 n 9 T 3 n K + c d e e R M 3 K + c 5 4 5 B 8 7 E O X N 8 5 x f n V + c 3 5 / f B H 4 N 3 g z 8 H f 9 W h d + 8 0 O V 8 4 v W v w 9 z 9 M a 3 r U < / l a t e x i t > x5 < l a t e x i t s h a 1 _ b a s e 6 4 = " H z p U J a D k t J R s n t X x s 6 A f h P d s R 8 Y = " > A A A M M X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H d r Y o Q F 0 h N N m 0 S K Y q W N E m r 4 h K N v W N 7 i O 1 x Z s b Z 3 V h + B 2 7 h N X i a 3 i F u e Q n O U 6 F n y c s 1 X 5 M l f p p N M z 0 2 4 J K z f 2 Y l W t u r l h G / U s a s s I T 4 l J T T 5 W k v j Z J J k X A l F k T j b + 5 y m n M 9 Y J A S M x U L 5 M m K h C p 7 m R 6 M b g 8 Q e W U J F R H R C 0 S T 8 R L W Q b b J M i 6 p j I V O u J p 2 A t M u c 8 C S f 1 2 e F 8 k 4 N R 2 W B I I S U a P n 2 w R p v 3 t X m 7 C f S m M o K X N t U S E k m b R o i 9 B U t 6 H a 5 N w D Z v 1 C Q w + 7 Q X 4 X L O y i g i l y D M C z 1 W B + j u r R u b + v D S B A Q 9 z e U s w o 4 k W s P I 6 A l a / b l o k Z V d X 6 3 2 N 4 l B I r i N Y d A m R + K h W R 5 W 3 B T a s W q 6 O m J D s V h 5 L 8 w Q 2 l F S r 0 I J E 9 J q R m G n N J D E + J l d s L s l j z a W Y t d W A z J C l J p i t 6 g 5 A e U w l q P G / w q P I n J F b O 5 G L q Y r i t F r o V M A C p 8 R E K c J T Q u t R e g n z 6 s S V a 2 u b m 5 t k I o U I Y B K r g V 7 E r M h i y t P S N L k x y A 9 N y b f I l A U 8 5 W b f A K V I a L r m p m z W J B d w J j K h K n 9 Z T D o P v a h 2 k L L Y a + 1 e T H M v i 9 P G 6 H l j l i S 0 L I 6 q W 8 / j C y l i E H R R F m M 0 e x F w 0 P M k q 2 f f a e 3 + K L B t m H t c 3 W q d R G a K I i R I B e s 3 f 2 n h b r m 2 M 9 2 t s n Z Q G S Y c X K a L R V b f V Q B F C t 0 t c J R l J 4 7 O / y W O z j E u 5 s l S E D D w Q 3 n A 4 L q O W z V p P R 9 p A l b M V k / U B K g 8 W w o A h i v h a b D k B 4 Z + K P 4 c H e Y B t y D C d u k i t P i G S c R g W x z w d h S w L Z 6 q A L E L j W j 5 X j o + P q Z K F 4 W r 2 V w X 1 X P 5 s w u o b E r n w y n V F F 7 B d c a R U a I 4 u m i H 0 z x d k F q L J q X 3 i q v K 5 S U w A / y j u F / P I g + R b 5 G P i F n E E E U W R Y i U R Q r R 3 K K 2 F 0 K L Q k Q L i x a I b i y 6 Q S Q t k o i u L L p C l F r U d m l u U Y 7 o y K I j R N c W X S O a W T R D J B I W o o z 1 E / r g 4 O n W V z 2 V n T 4 R h s L f 0 L I d G 7 u D Y X s W 7 S E 6 t O h w V W H J D H 4 V C P Q J k 3 y O m t e t V M l u m 8 g K j a 5 F 3 3 X T c d 3 0 W 2 9 p u o h q n A p s S J r x K T O W L X W T q W j a 9 O s p t C j 2 6 i l u 7 m U X v 2 x l 6 O J W i h d d / A L x Q R c f I D 7 u 4 m P E + 1 2 8 3 8 r c x Y e I J 1 0 8 Q X z S x S e I z 7 r 4 7 D 8 W W M v T + Y a q x H 2 k m F Z E B A R + m T 3 4 V P y 6 T h / X u Z 5 X j H F + R C c W P U f 0 H B V A d G z R G 0 R v 8 M 0 C 1 W 2 + Z 5 r 5 g D T r N d a 4 V b T v 6 G j a d 7 S q 7 v Y d u 9 g Z 7 U t p z 7 P i e N 1 a H 3 R x W 9 T 9 L m 7 n 2 e l i c 5 z g Q 3 p 0 + 7 N 5 2 T h / s j 1 6 u v 3 9 j 0 8 3 n u 0 2 n 9 T 3 n K + c d e e R M 3 K + c 5 4 5 B 8 7 E O X N 8 5 x f n V + c 3 5 / f B H 4 N 3 g z 8 H f 9 W h d + 8 0 O V 8 4 v W v w 9 z 9 j + 3 r W < / l a t e x i t > k0 < l a t e x i t s h a 1 _ b a s e 6 4 = " j 6 L 4 w f S V i n E i 7 + n W J u d i g 8 t B q 1 4 = " > A A A M L n i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O k m B q W l J M I S K Z O U d 9 e C H q H X 9 j X 6 N A V 6 K H r t Y 3 Q o i S P J 6 x Y V Y G v 0 m x l + / G e o l Z 8 l X J v h 8 I 8 7 d 9 9 7 / 4 M P P 7 p 3 f 2 3 w 8 S e f f v b g 4 e c v t c x V w M 4 C m U j 1 2 q e a J V y w M 8 N N w l 5 n i t H U T 9 g r / 2 J s / a + u m N J c i l O z z N j b l E a C h z y g B t C L i / P h + Y O N 4 f a w u s i q M W q M D a + 5 J u c P B 1 9 O Z z L I U y Z M k F C t f x o N M / O 2 o M r w I G H l 2 j T X L K P B B Y 1 Y 4 U t 5 Y a i v S 1 J f m y R T M m T a L o g m 3 1 z m N O F m S S A k Y b q X S V M d S m E 6 m X 4 C L l 9 S N S M p N T H R y 9 S X y U q W x S 4 J s q 6 o E t L E X E S 9 Q M E D F i o a t M M H M g W n c c O S U C o y + v b x F m E m 2 O 7 l p j x Q 0 q p Z u l x H Z K R o F i / 7 E q T l f b g 2 C T e w 2 Y D A 4 L N e Q M A N K 6 u I S M k 8 I / B c V a e / s 2 p k H i x K G x j y K F c 3 B L O a G A k r r y N g 9 e u 2 P w S 7 v F z v a 5 R E U n E T w 6 J L i M R H f X t U e V N g y 6 r l m p h J x W 7 k M Z G n s K G 0 W o W R J K Z X j C T M G K a I 9 T F 1 y + b S P D F c y X l b D c i M m L D B 7 L b u A J Q n V I E a / y s 8 j u 0 B u b E T t Z z p O B H V Q m c S F j g j N k o T L g i t R + k l L K r j V q 6 t b W 5 u k o m S M o R J n A Z m m b A i S y g X p W 1 y a 5 A f m p J v k R k L u e B 2 3 w C V T K l Y m w o 2 b 5 I L O B O Z 1 J W / L C a d h 1 5 U O 0 h Z 7 L V 2 L 6 a 5 l 8 V p Y / S 8 C U t T W h Z H 1 a 3 n C a S S C Q i 6 L I s x m r 0 I O O h 5 m t W z 7 7 R 2 f x T Y N s w 9 r m 6 1 T j K z R Z E K p I L 1 2 z 9 R T L e m r j O n W 2 X t o C p K O b h s F 8 u s v u s Q i h R N t 8 B R l p 0 4 u v i X O L r A u I S n K 0 H A w A / l A Y O b O u 6 2 S e v 5 S B N w y 2 z 1 R E 2 A z r O V A G C 4 E i 7 C F T 8 w 9 E P x F + i w D 7 g F G b V L l 5 H D 1 0 w h B t v h k L e j g O 3 w T I e I p 9 C I j u + J 8 f E x 1 a Y o p o Y t T F E 9 l + + m g M q m d A G c U k P h F V x n H F k l i q P z d j j D x Z L U W j Q p v V d c V S 4 / h R n g H 8 X 9 + g 7 5 i A K H A k T M I Y Y o d i h G p B 3 S i B Y O t b 0 Q O R Q h W j q 0 R H T t 0 D U i 5 Z B C d O n Q J S L h U N u l u U M 5 o i O H j h B d O X S F a O 7 Q H J F M W Y Q y 1 k / o g 4 N n W l / 1 V H b 6 R F o K f 0 P H d l z s D o b t O b S H 6 N C h w 9 s K S + b w q 0 C g T 5 j i C 9 S 8 b q V K d t d E T m h 0 L f u u 6 4 7 r u t 9 6 K 9 P F 1 O B U Y E P S n M + Y t V y p m 0 x N R d O v p 9 C i 2 K u n u L k X X f y i l a G L W y m e d / F z x A d d f I D 4 u I u P E e 9 3 8 X 4 r c x c f I p 5 0 8 Q T x S R e f I D 7 r 4 r P / W G A t T + c b q h L 3 k W Z G E x k S + G X 2 4 T v x 6 z p 9 X O f 6 f j H G + R G d O P Q M 0 T N U A N G x Q 2 8 Q v c E 3 C 1 S 3 + Z 5 p 5 g P S r N d a 4 1 b R v q O j a d / R q r r b d + x i Z 7 Q v p T 3 f i e N 3 a 3 3 Q x W 1 R 9 7 u 4 n W e n i + 1 x g g / p 0 c 3 P 5 l X j 5 e P t 0 Z P t 7 3 9 8 s v F 0 t / m k v u d 9 5 a 1 7 j 7 y R 9 5 3 3 1 D v w J t 6 Z F 3 i R 9 7 P 3 i / f r 4 L f B 7 4 M / B 3 / V o X f v N D l f e L 1 r 8 P c / O h J 5 e w = = < / l a t e x i t > k1 < l a t e x i t s h a 1 _ b a s e 6 4 = " p a r 4 5 a y x 0 Q 4 9 k z S X h v Z t B D P U 3 h s = " > A A A M L n i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O k m B q W l J M I S K Z O U d 9 e C H q H X 9 j X 6 N A V 6 K H r t Y 3 Q o i S P J 6 x Y V Y G v 0 m x l + / G e o l Z 8 l X J v h 8 I 8 7 d 9 9 7 / 4 M P P 7 p 3 f 2 3 w 8 S e f f v b g 4 e c v t c x V w M 4 C m U j 1 2 q e a J V y w M 8 N N w l 5 n i t H U T 9 g r / 2 J s / a + u m N J c i l O z z N j b l E a C h z y g B t C L i / P R + Y O N 4 f a w u s i q M W q M D a + 5 J u c P B 1 9 O Z z L I U y Z M k F C t f x o N M / O 2 o M r w I G H l 2 j T X L K P B B Y 1 Y 4 U t 5 Y a i v S 1 J f m y R T M m T a L o g m 3 1 z m N O F m S S A k Y b q X S V M d S m E 6 m X 4 C L l 9 S N S M p N T H R y 9 S X y U q W x S 4 J s q 6 o E t L E X E S 9 Q M E D F i o a t M M H M g W n c c O S U C o y + v b x F m E m 2 O 7 l p j x Q 0 q p Z u l x H Z K R o F i / 7 E q T l f b g 2 C T e w 2 Y D A 4 L N e Q M A N K 6 u I S M k 8 I / B c V a e / s 2 p k H i x K G x j y K F c 3 B L O a G A k r r y N g 9 e u 2 P w S 7 v F z v a 5 R E U n E T w 6 J L i M R H f X t U e V N g y 6 r l m p h J x W 7 k M Z G n s K G 0 W o W R J K Z X j C T M G K a I 9 T F 1 y + b S P D F c y X l b D c i M m L D B 7 L b u A J Q n V I E a / y s 8 j u 0 B u b E T t Z z p O B H V Q m c S F j g j N k o T L g i t R + k l L K r j V q 6 t b W 5 u k o m S M o R J n A Z m m b A i S y g X p W 1 y a 5 A f m p J v k R k L u e B 2 3 w C V T K l Y m w o 2 b 5 I L O B O Z 1 J W / L C a d h 1 5 U O 0 h Z 7 L V 2 L 6 a 5 l 8 V p Y / S 8 C U t T W h Z H 1 a 3 n C a S S C Q i 6 L I s x m r 0 I O O h 5 m t W z 7 7 R 2 f x T Y N s w 9 r m 6 1 T j K z R Z E K p I L 1 2 z 9 R T L e m r j O n W 2 X t o C p K O b h s F 8 u s v u s Q i h R N t 8 B R l p 0 4 u v i X O L r A u I S n K 0 H A w A / l A Y O b O u 6 2 S e v 5 S B N w y 2 z 1 R E 2 A z r O V A G C 4 E i 7 C F T 8 w 9 E P x F + i w D 7 g F G b V L l 5 H D 1 0 w h B t v h k L e j g O 3 w T I e I p 9 C I j u + J 8 f E x 1 a Y o p o Y t T F E 9 l + + m g M q m d A G c U k P h F V x n H F k l i q P z d j j D x Z L U W j Q p v V d c V S 4 / h R n g H 8 X 9 + g 7 5 i A K H A k T M I Y Y o d i h G p B 3 S i B Y O t b 0 Q O R Q h W j q 0 R H T t 0 D U i 5 Z B C d O n Q J S L h U N u l u U M 5 o i O H j h B d O X S F a O 7 Q H J F M W Y Q y 1 k / o g 4 N n W l / 1 V H b 6 R F o K f 0 P H d l z s D o b t O b S H 6 N C h w 9 s K S + b w q 0 C g T 5 j i C 9 S 8 b q V K d t d E T m h 0 L f u u 6 4 7 r u t 9 6 K 9 P F 1 O B U Y E P S n M + Y t V y p m 0 x N R d O v p 9 C i 2 K u n u L k X X f y i l a G L W y m e d / F z x A d d f I D 4 u I u P E e 9 3 8 X 4 r c x c f I p 5 0 8 Q T x S R e f I D 7 r 4 r P / W G A t T + c b q h L 3 k W Z G E x k S + G X 2 4 T v x 6 z p 9 X O f 6 f j H G + R G d O P Q M 0 T N U A N G x Q 2 8 Q v c E 3 C 1 S 3 + Z 5 p 5 g P S r N d a 4 1 b R v q O j a d / R q r r b d + x i Z 7 Q v p T 3 f i e N 3 a 3 3 Q x W 1 R 9 7 u 4 n W e n i + 1 x g g / p 0 c 3 P 5 l X j 5 e P t 0 Z P t 7 3 9 8 s v F 0 t / m k v u d 9 5 a 1 7 j 7 y R 9 5 3 3 1 D v w J t 6 Z F 3 i R 9 7  P 3 i / f r 4 L f B 7 4 M / B 3 / V o X f v N D l f e L 1 r 8 P c / R d p 5 f A = = < / l a t e x i t > k2 < l a t e x i t s h a 1 _ b a s e 6 4 = " T X I 0 i v j 9 o Y M B 8 9 J 7 X h S q m w x z j l Y = " > A A A M L n i c j Z Z b b 9 x E F M f d c m u z X F o Q T 7 y M E k U q U g i 7 U S X E A 1 K T T Z t E i q I l l 7 Y q 2 0 Z j 7 9 g e x f Y 4 M + P s O p Y / A q / w N f g 0 S D w g X v k Y n L E 9 x 3 Z 2 Q V h K f P w 7 5 8 z l f 8 5 4 7 a Y R V 3 o 4 / O P e / f f e / + D D j x 4 8 X B t 8 / M m n n z 1 6 / P l L J T L p s Q t P R E K + d q l i E U / Y h e Y 6 Y q 9 T y W j s R u y V e z U 2 / l c 3 T C o u k n O d p + x t T I O E + 9 y j G t D Z 1 e X O 5 a O N 4 f a w u s i y M W q M D a e 5 J p e P B 1 9 O Z 8 L L Y p Z o L 6 J K / T Q a p v p t Q a X m X s T K t W m m W E q 9 K x q w w h X i S l N X l a S + N k k q h c + U W R C N v r n O a M R 1 T i A k Y q q X S W P l i 0 R 3 M t 0 I X K 6 g c k Z i q k O i 8 t g V 0 V K W w T Y J s m 6 o T I Q O e R L 0 A h P u M V 9 S r x 3 e E z E 4 t R 2 W + E K S 0 b c 7 W 4 R p b 7 u X G 3 N P C q N m a X M t E Y G k a Z j 3 J Y j L h 3 B t E q 5 h s x 6 B w W e 9 A I 9 r V l Y R g R R Z S u C 5 q k 5 / Z 9 X I 3 F u U J t D n Q S b v C G Y 0 0 Q J W X k f A 6 t d N f y T s + n q 9 r 1 E U C M l 1 C I s u I R I f 1 e q o 8 q 7 A h l X L 1 S E T k t 3 J Y 0 k W w 4 b i a h V a k J D e M B I x r Z k k x s f k i s 3 F W a S 5 F P O 2 G p A Z s M Q E s 1 X d A S i L q A Q 1 / l d 4 G J o D c m c n M p + p M E q q h c 4 E L H B G T J Q i P C G 0 H q W X s K i O W 7 m 2 t r m 5 S S Z S C B 8 m s R r o P G J F G l G e l K b J j U F + a E q + R W b M 5 w k 3 + w Y o R U y T t W n C 5 k 1 y A W c i F a + p W 6 y R S U x Q h Q S p Y v / l L i u n W 1 H b m d K u s H V Q G M Q e X 6 W K R 1 n f l Q 5 G C 6 R Y 4 y r I T R x f / E k c X G B f x e C k I G P i h P G B w X c e t m r S e j z Q B K 2 a r J 2 o C V J Y u B Q D D l f D E X / I D Q z 8 U f 4 E O 8 4 B b E E G 7 d B F Y f M s k Y r A t 9 n k 7 C t g W z 5 S P e A q N a P l + M j 4 5 o U o X x V S z h S 6 q 5 / L d F F D Z l M 6 D U 6 o p v I L r j G O j R H F 8 2 Q 6 n e Z K T W o s m p f e K q 8 r l x j A D / K O 4 X 9 c i F 5 F n k Y e I W c Q Q h R a F i J R F C t H C o r Y X A o s C R L l F O a J b i 2 4 R S Y s k o m u L r h E l F r V d m l m U I T q 2 6 B j R j U U 3 i O Y W z R G J m A U o Y / 2 E P j h 4 u v V V T 2 W n T 4 S h 8 D e 0 b N f G 7 m L Y v k X 7 i I 4 s O l p V W D K H X w U C f c I k X 6 D m d S t V s t s m s k K j K + + 7 b j u u 2 3 7 r L U 0 X U o 1 T g Q 1 J c z 5 j x r K l b j I V T Z p + P Y c W x V 4 9 x 8 2 d d f F Z K 0 M X t 1 K 8 6 O I X i A + 7 + B D x S R e f I D 7 o 4 o N W 5 i 4 + Q j z p 4 g n i 0 y 4 + R X z R x R f / s c B a n s 4 3 V C X u E 8 W 0 I s I n 8 M v s w n f i 1 3 X 6 u M 5 1 3 W K M 8 y M 6 t e g 5 o u e o A K I T i 9 4 g e o N v F q h u 8 z 3 T z A e k W a + x x q 2 i f U d H 0 7 6 j V X W v 7 9 j D z m h f S v u u F c f t 1 v q w i 9 u i H n R x O 8 9 u F 5 v j B B / S o 7 u f z c v G y 5 3 t 0 d P t 7 3 9 8 u v F s r / m k f u B 8 5 a w 7 T 5 y R 8 5 3 z z D l 0 J s 6 F 4 z m B 8 7 P z i / P r 4 L f B 7 4 M / B 3 / V o f f v N T l f O L 1 r 8 P c / U a J 5 f Q = = < / l a t e x i t > k3 < l a t e x i t s h a 1 _ b a s e 6 4 = " e s v E g Z u q r V o c a i o V x E J A 0 8 O U b F c = " > A A A M L n i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s l k q I C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R l n d 2 P 5 E b i F 1 + B p k L h A 3 P I Y n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P O 3 X f e f e / 9 D + 7 d X x t 8 + N H H n z x 4 + O l L L X M V s L N A J l K 9 9 q l m C R f s z H C T s N e Z Y j T 1 E / b K v x h b / 6 s r p j S X 4 t Q s M / Y 2 p Z H g I Q + o A f T i 4 v y b 8 w c b w + 1 h d Z F V Y 9 Q Y G 1 5 z T c 4 f D j 6 f z m S Q p 0 y Y I K F a / z g a Z u Z t Q Z X h Q c L K t W m u W U a D C x q x w p f y w l B f l 6 S + N k m m Z M i 0 X R B N v r r M a c L N k k B I w n Q v k 6 Y 6 l M J 0 M v 0 E X L 6 k a k Z S a m K i l 6 k v k 5 U s i 1 0 S Z F 1 R J a S J u Y h 6 g Y I H L F Q 0 a I c P Z A p O 4 4 Y l o V R k 9 P X j L c J M s N 3 L T X m g p F W z d L m O y E j R L F 7 2 J U j L + 3 B t E m 5 g s w G B w W e 9 g I A b V l Y R k Z J 5 R u C 5 q k 5 / Z 9 X I P F i U N j D k U a 5 u C G Y 1 M R J W X k f A 6 t d t f w h 2 e b n e 1 y i J p O I m h k W X E I m P + v a o 8 q b A l l X L N T G T i t 3 I Y y J P Y U N p t Q o j S U y v G E m Y M U w R 6 2 P q l s 2 l e W K 4 k v O 2 G p A Z M W G D 2 W 3 d A S h P q A I 1 / l d 4 H N s D c m M n a j n T c S K q h c 4 k L H B G b J Q m X B B a j 9 J L W F T H r V x b 2 9 z c J B M l Z Q i T O A 3 M M m F F l l A u S t v k 1 i D f N y X f I j M W c s H t v g E q m V K x N h V s 3 i Q X c C Y y q S t / W U w 6 D 7 2 o d p C y 2 G v t X k x z L 4 v T x u h 5 E 5 a m t C y O q l v P E 0 g l E x B 0 W R Z j N H s R c N D z N K t n 3 2 n t / i i w b Z h 7 X N 1 q n W R m i y I V S A X r t 3 + i m G 5 N X W d O t 8 r a Q V W U c n D Z L p Z Z f d c h F C m a b o G j L D t x d P E v c X S B c Q l P V 4 K A g R / K A w Y 3 d d x t k 9 b z k S b g l t n q i Z o A n W c r A c B w J V y E K 3 5 g 6 I f i L 9 B h H 3 A L M m q X L i O H r 5 l C D L b D I W 9 H A d v h m Q 4 R T 6 E R H d 8 T 4 + N j q k 1 R T A 1 b m K J 6 L n + a A i q b 0 g V w S g 2 F V 3 C d c W S V K I 7 O 2 + E M F 0 t S a 9 G k 9 F 5 x V b n 8 F G a A f x T 3 6 z v k I w o c C h A x h x i i 2 K E Y k X Z I I 1 o 4 1 P Z C 5 F C E a O n Q E t G 1 Q 9 e I l E M K 0 a V D l 4 i E Q 2 2 X 5 g 7 l i I 4 c O k J 0 5 d A V o r l D c 0 Q y Z R H K W D + h D w 6 e a X 3 V U 9 n p E 2 k p / A 0 d 2 3 G x O x i 2 5 9 A e o k O H D m 8 r L J n D r w K B P m G K L 1 D z u p U q 2 V 0 T O a H R t e y 7 r j u u 6 3 7 r r U w X U 4 N T g Q 1 J c z 5 j 1 n K l b j I 1 F U 2 / n k K L Y q + e 4 u Z e d P G L V o Y u b q V 4 3 s X P E R 9 0 8 Q H i 4 y 4 + R r z f x f u t z F 1 8 i H j S x R P E J 1 1 8 g v i s i 8 / + Y 4 G 1 P J 1 v q E r c R 5 o Z T W R I 4 J f Z h + / E L + v 0 c Z 3 r + 8 U Y 5 0 d 0 4 t A z R M 9 Q A U T H D r 1 B 9 A b f L F D d 5 n u m m Q 9 I s 1 5 r j V t F + 4 6 O p n 1 H q + p u 3 7 G L n d G + l P Z 8 J 4 7 f r f V B F 7 d F 3 e / i d p 6 d L r b H C T 6 k R z c / m 1 e N l 4 + 3 R 0 + 2 v / v h y c b T 3 e a T + p 7 3 h b f u P f J G 3 r f e U + / A m 3 h n X u B F 3 s / e L 9 6 v g 9 8 G v w / + H P x V h 9 6 9 0 + R 8 5 v W u w d / / A F 1 q e X 4 = < / l a t e x i t > k4 < l a t e x i t s h a 1 _ b a s e 6 4 = " L h w s l M k U / 2 V y 0 j C e n m B e / J 5 a c G w  = " > A A A M L n i c j Z Z b b 9 x E F M f d c m u z X F o Q T 7 y M E k U q U g i 7 V S T E A 1 K T T Z t E i q I l l 7 Y q 2 0 Z j 7 9 g e x f Y 4 M + P s O p Y / A q / w N f g 0 S D w g X v k Y n L E 9 x 3 Z 2 Q V h K f P O Z 8 L L Y p Z o L 6 J K / T Q a p v p t Q a X m X s T K t W m m W E q 9 K x q w w h X i S l N X l a S + N k k q h c + U W R C N v r n O a M R 1 T i A k Y q q X S W P l i 0 R 3 M t 0 I X K 6 g c k Z i q k O i 8 t g V 0 V K W w T Y J s m 6 o T I Q O e R L 0 A h P u M V 9 S r x 3 e E z E 4 t R 2 W + E K S 0 b d P t w j T 3 n Y v N + a e F E b N 0 u Z a I g J J 0 z D v S x C X D + H a J F z D Z j 0 C g 8 9 6 A R 7 X r K w i A i m y l M B z V Z 3 + z q q R u b c o T a D P g 0 z e E c x o o g W s v I 6 A 1 a + b / k j Y 9 f V 6 X 6 M o E J L r E B Z d Q i Q + q t V R 5 V 2 B D a u W q 0 M m J L u T x 5 I s h g 3 F 1 S q 0 I C G 9 Y S R i W j N J j I / J F Z u L s 0 h z K e Z t N S A z Y I k J Z q u 6 A 1 A W U Q l q / K / w M D Q H 5 M 5 O Z D 5 T Y Z R U C 5 0 J W O C M m C h F e E J o P U o v Y V E d t 3 J t b X N z k 0 y k E D 5 M Y j X Q e c S K N K I 8 K U 2 T G 4 P 8 0 J R 8 i 8 y Y z x N u 9 g 1 Q i p g m a 9 O E z Z v k A s 5 E K l T l L 4 t J 5 6 E X 1 Q 5 S F v u t 3 Y t p 7 m V x 3 h g 9 b 8 T i m J b F c X X r e T w h R Q S C 5 m U x R r M X A Q c 9 i 9 N 6 9 t 3 W 7 o 8 C 2 4 a 5 x 9 W t 1 k m k p i h C g l S w f v O X F N O t q e 3 M 6 V Z Z O 6 g M Y g 4 u 0 8 U i r e / K h y I F 0 y 1 w l G U n j i 7 + J Y 4 u M C 7 i 8 V I Q M P B D e c D g u o 5 b N W k 9 H 2 k C V s x W T 9 Q E q C x d C g C G K + G J v + Q H h n 4 o / g I d 5 g G 3 I I J 2 6 S K w + J Z J x G B b 7 P N 2 F L A t n i k f 8 R Q a 0 f L 9 Z H x y Q p U u i q l m C 1 1 U z + W 7 K a C y K Z 0 H p 1 R T e A X X G c d G i e L 4 s h 1 O 8 y Q n t R Z N S u 8 V V 5 X L j W E G + E d x v 6 5 F L i L P I g 8 R s 4 g h C i 0 K E S m L F K K F R W 0 v B B Y F i H K L c k S 3 F t 0 i k h Z J R N c W X S N K L G q 7 N L M o Q 3 R s 0 T G i G 4 t u E M 0 t m i M S M Q t Q x v o J f X D w d O u r n s p O n w h D 4 W 9 o 2 a 6 N 3 c W w f Y v 2 E R 1 Z d L S q s G Q O v w o E + o R J v k D N 6 1 a q Z L d N Z I V G V 9 5 3 3 X Z c t / 3 W W 5 o u p B q n A h u S 5 n z G j G V L 3 W Q q m j T 9 e g 4 t i r 1 6 j p s 7 6 + K z V o Y u b q V 4 0 c U v E B 9 2 8 S H i k y 4 + Q X z Q x Q e t z F 1 8 h H j S x R P E p 1 1 8 i v i i i y / + Y 4 G 1 P J 1 v q E r c J 4 p p R Y R P 4 J f Z h e / E r + v 0 c Z 3 r u s U Y 5 0 d 0 a t F z R M 9 R A U Q n F Q Y 6 x B p n n f U v 5 i B h P 2 f K y B H H s k = " > A A A M L n i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s V k W I C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R l n d 2 P 5 E b i F 1 + B p k L h A 3 P I Y n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P O 3 X f e f e / 9 D + 7 d X x t 8 + N H H n z x 4 + O l L L X M V s L N A J l K 9 9 q l m C R f s z H C T s N e Z Y j T 1 E / b K v x h b / 6 s r p j S X 4 t Q s M / Y 2 p Z H g I Q + o A f T i 4 v y b 8 w c b w + 1 h d Z F V Y 9 Q Y G 1 5 z T c 4 f D j 6 f z m S Q p 0 y Y I K F a / z g a Z u Z t Q Z X h Q c L K t W m u W U a D C x q x w p f y w l B f l 6 S + N k m m Z M i 0 X R B N v r r M a c L N k k B I w n Q v k 6 Y 6 l M J 0 M v 0 E X L 6 k a k Z S a m K i l 6 k v k 5 U s i 1 0 S Z F 1 R J a S J u Y h 6 g Y I H L F Q 0 a I c P Z A p O 4 4 Y l o V R k 9 P X j L c J M s N 3 L T X m g p F W z d L m O y E j R L F 7 2 J U j L + 3 B t E m 5 g s w G B w W e 9 g I A b V l Y R k Z J 5 R u C 5 q k 5 / Z 9 X I P F i U N j D k U a 5 u C G Y 1 M R J W X k f A 6 t d t f w h 2 e b n e 1 y i J p O I m h k W X E I m P + v a o 8 q b A l l X L N T G T i t 3 I Y y J P Y U N p t Q o j S U y v G E m Y M U w R 6 2 P q l s 2 l e W K 4 k v O 2 G p A Z M W G D 2 W 3 d A S h P q A I 1 / l d 4 H N s D c m M n a j n T c S K q h c 4 k L H B G b J Q m X B B a j 9 J L W F T H r V x b 2 9 z c J B M l Z Q i T O A 3 M M m F F l l A u S t v k 1 i D f N y X f I j M W c s H t v g E q m V K x N h V s 3 i Q X c C Y y q S t / W U w 6 D 7 2 o d p C y 2 G v t X k x z L 4 v T x u h 5 E 5 a m t C y O q l v P E 0 g l E x B 0 W R Z j N H s R c N D z N K t n 3 2 n t / i i w b Z h 7 X N 1 q n W R m i y I V S A X r t 3 + i m G 5 N X W d O t 8 r a Q V W U c n D Z L p Z Z f d c h F C m a b o G j L D t x d P E v c X S B c Q l P V 4 K A g R / K A w Y 3 d d x t k 9 b z k S b g l t n q i Z o A n W c r A c B w J V y E K 3 5 g 6 I f i L 9 B h H 3 A L M m q X L i O H r 5 l C D L b D I W 9 H A d v h m Q 4 R T 6 E R H d 8 T 4 + N j q k 1 R T A 1 b m K J 6 L n + a A i q b 0 g V w S g 2 F V 3 C d c W S V K I 7 O 2 + E M F 0 t S a 9 G k 9 F 5 x V b n 8 F G a A f x T 3 6 z v k I w o c C h A x h x i i 2 K E Y k X Z I I 1 o 4 1 P Z C 5 F C E a O n Q E t G 1 Q 9 e I l E M K 0 a V D l 4 i E Q 2 2 X 5 g 7 l i I 4 c O k J 0 5 d A V o r l D c 0 Q y Z R H K W D + h D w 6 e a X 3 V U 9 n p E 2 k p / A 0 d 2 3 G x O x i 2 5 9 A e o k O H D m 8 r L J n D r w K B P m G K L 1 D z u p U q 2 V 0 T O a H R t e y 7 r j u u 6 3 7 r r U w X U 4 N T g Q 1 J c z 5 j 1 n K l b j I 1 F U 2 / n k K L Y q + e 4 u Z e d P G L V o Y u b q V 4 3 s X P E R 9 0 8 Q H i 4 y 4 + R r z f x f u t z F 1 8 i H j S x R P E J 1 1 8 g v i s i 8 / + Y 4 G 1 P J 1 v q E r c R 5 o Z T W R I 4 J f Z h + / E L + v 0 c Z 3 r + 8 U Y 5 0 d 0 4 t A z R M 9 Q A U T H D r 1 B 9 A b f L F D d 5 n u m m Q 9 I s 1 5 r j V t F + 4 6 O p n 1 H q + p u 3 7 G L n d G + l P Z 8 J 4 7 f r f V B F W 9 Q M X n m s G H e 9 X q g = " > A A A M L n i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s V h W I C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R l n d 2 P 5 E b i F 1 + B p k L h A 3 P I Y n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P O 3 X f e f e / 9 D + 7 d X x t 8 + N H H n z x 4 + O l L L X M V s L N A J l K 9 9 q l m C R f s z H C T s N e Z Y j T 1 E / b K v x h b / 6 s r p j S X 4 t Q s M / Y 2 p Z H g I Q + o A f T i 4 v y b 8 w c b w + 1 h d Z F V Y 9 Q Y G 1 5 z T c 4 f D j 6 f z m S Q p 0 y Y I K F a / z g a Z u Z t Q Z X h Q c L K t W m u W U a D C x q x w p f y w l B f l 6 S + N k m m Z M i 0 X R B N v r r M a c L N k k B I w n Q v k 6 Y 6 l M J 0 M v 0 E X L 6 k a k Z S a m K i l 6 k v k 5 U s i 1 0 S Z F 1 R J a S J u Y h 6 g Y I H L F Q 0 a I c P Z A p O 4 4 Y l o V R k 9 P X j L c J M s N 3 L T X m g p F W z d L m O y E j R L F 7 2 J U j L + 3 B t E m 5 g s w G B w W e 9 g I A b V l Y R k Z J 5 R u C 5 q k 5 / Z 9 X I P F i U N j D k U a 5 u C G Y 1 M R J W X k f A 6 t d t f w h 2 e b n e 1 y i J p O I m h k W X E I m P + v a o 8 q b A l l X L N T G T i t 3 I Y y J P Y U N p t Q o j S U y v G E m Y M U w R 6 2 P q l s 2 l e W K 4 k v O 2 G p A Z M W G D 2 W 3 d A S h P q A I 1 / l d 4 H N s D c m M n a j n T c S K q h c 4 k L H B G b J Q m X B B a j 9 J L W F T H r V x b 2 9 z c J B M l Z Q i T O A 3 M M m F F l l A u S t v k 1 i D f N y X f I j M W c s H t v g E q m V K x N h V s 3 i Q X c C Y y q S t / W U w 6 D 7 2 o d p C y 2 G v t X k x z L 4 v T x u h 5 E 5 a m t C y O q l v P E 0 g l E x B 0 W R Z j N H s R c N D z N K t n 3 2 n t / i i w b Z h 7 X N 1 q n W R m i y I V S A X r t 3 + i m G 5 N X W d O t 8 r a Q V W U c n D Z L p Z Z f d c h F C m a b o G j L D t x d P E v c X S B c Q l P V 4 K A g R / K A w Y 3 d d x t k 9 b z k S b g l t n q i Z o A n W c r A c B w J V y E K 3 5 g 6 I f i L 9 B h H 3 A L M m q X L i O H r 5 l C D L b D I W 9 H A d v h m Q 4 R T 6 E R H d 8 T 4 + N j q k 1 R T A 1 b m K J 6 L n + a A i q b 0 g V w S g 2 F V 3 C d c W S V K I 7 O 2 + E M F 0 t S a 9 G k 9 F 5 x V b n 8 F G a A f x T 3 6 z v k I w o c C h A x h x i i 2 K E Y k X Z I I 1 o 4 1 P Z C 5 F C E a O n Q E t G 1 Q 9 e I l E M K 0 a V D l 4 i E Q 2 2 X 5 g 7 l i I 4 c O k J 0 5 d A V o r l D c 0 Q y Z R H K W D + h D w 6 e a X 3 V U 9 n p E 2 k p / A 0 d 2 3 G x O x i 2 5 9 A e o k O H D m 8 r L J n D r w K B P m G K L 1 D z u p U q 2 V 0 T O a H R t e y 7 r j u u 6 3 7 r r U w X U 4 N T g Q 1 J c z 5 j 1 n K l b j I 1 F U 2 / n k K L Y q + e 4 u Z e d P G L V o Y u b q V 4 3 s X P E R 9 0 8 Q H i 4 y 4 + R r z f x f u t z F 1 8 i H j S x R P E J 1 1 8 g v i s i 8 / + Y 4 G 1 P J 1 v q E r c R 5 o Z T W R I 4 J f Z h + / E L + v 0 c Z 3 r + 8 U Y 5 0 d 0 4 t A z R M 9 Q A U T H D r 1 B 9 A b f L F D d 5 n u m m Q 9 I s 1 5 r j V t F + 4 6 O p n 1 H q + p u 3 7 G L n d G + l P Z 8 J 4 7 f r f V B F L 4 W 8 a A h g o t k q W t o = " > A A A M L n i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o I c C s d e J b c A w t o 6 d B O m m B q W l J M I S K Z O U d 9 e C H q H X 9 j X 6 N A V 6 K H r t Y 3 Q o i S P J 6 x Y V Y G v 0 m x l + / G e o l Z 8 l X J v h 8 I 8 7 d 9 9 7 / 4 M P P 7 p 3 f 2 3 w 8 S e f f v b g 4 e e v t M x V w M 4 C m U j 1 x q e a J V y w M 8 N N w t 5 k i t H U T 9 h r / 2 J s / a + v m N J c i l O z z N i 7 l E a C h z y g B t D L i / O n 5 w 8 2 h t v D 6 i K r x q g x N r z m m p w / H H w 5 n c k g T 5 k w Q U K 1 / n E 0 z M y 7 g i r D g 4 S V a 9 N c s 4 w G F z R i h S / l h a G + L k l 9 b Z J M y Z B p u y C a f H O Z 0 4 S b J Y G Q h O l e J k 1 1 K I X p Z P o J u H x J 1 Y y k 1 M R E L 1 N f J i t Z F r s k y L q i S k g T c x H 1 A g U P W K h o 0 A 4 f y B S c x g 1 L Q q n I 6 N v H W 4 S Z Y L u X m / J A S a t m 6 X I d k Z G i W b z s S 5 C W 9 + H a J N z A Z g M C g 8 9 6 A Q E 3 r K w i I i X z j M B z V Z 3 + z q q R e b A o b W D I o 1 z d E M x q Y i S s v I 6 A 1 a / b / h D s 8 n K 9 r 1 E S S c V N D I s u I R I f 9 e 1 R 5 U 2 B L a u W a 2 I m F b u R x 0 S e w o b S a h V G k p h e M Z I w Y 5 g i 1 s f U L Z t L 8 8 R w J e d t N S A z Y s I G s 9 u 6 A 1 C e U A V q / K / w O L Y H 5 M Z O 1 H K m 4 0 R U C 5 1 J W O C M 2 C h N u C C 0 H q W X s K i O W 7 m 2 t r m 5 S S Z K y h A m c R q Y Z c K K L K F c l L b J r U G + b 0 q + R W Y s 5 I L b f Q N U M q V i b S r Y v E k u 4 E x k U l f + s p h 0 H n p R 7 S B l s d f a v Z j m X h a n j d H z J i x N a V k c V b e e J 5 B K J i D o s i z G a P Y i 4 K D n a V b P v t P a / V F g 2 z D 3 u L r V O s n M F k U q k A r W b / 9 E M d 2 a u s 6 c b p W 1 g 6 o o 5 e C y X S y z + q 5 D K F I 0 3 Q J H W X b i 6 O J f 4 u g C 4 x K e r g Q B A z + U B w x u 6 r j b J q 3 n I 0 3 A L b P V E z U B O s 9 W A o D h S r g I V / z A 0 A / F X 6 D D P u A W Z N Q u X U Y O X z O F G G y H Q 9 6 O A r b D M x 0 i n k I j O r 4 n x s f H V J u i m B q 2 M E X 1 X P 4 0 B V Q 2 p Q v g l B o K r + A 6 4 8 g q U R y d t 8 M Z L p a k 1 q J J 6 b 3 i q n L 5 K c w A / y j u 1 3 f I R x Q 4 F C B i D j F E s U M x I u 2 Q R r R w q O 2 F y K E I 0 d K h J a J r h 6 4 R K Y c U o k u H L h E J h 9 o u z R 3 K E R 0 5 d I T o y q E r R H O H 5 o h k y i K U s X 5 C H x w 8 0 / q q p 7 L T J 9 J S + B s 6 t u N i d z B s z 6 E 9 R I c O H d 5 W W D K H X w U C f c I U X 6 D m d S t V s r s m c k K j a 9 l 3 X X d c 1 / 3 W W 5 k u p g a n A h u S 5 n z G r O V K 3 W R q K p p + P Y U W x V 4 9 x c 2 9 7 O K X r Q x d 3 E r x o o t f I D 7 o 4 g P E x 1 1 8 j H i / i / d b m b v 4 E P G k i y e I T 7 r 4 B P F Z F 5 / 9 x w J r e T r f U J W 4 j z Q z m s i Q w C + z D 9 + J X 9 f p 4 z r X 9 4 s x z o / o x K H n i J 6 j A o i O H X q L 6 C 2 + W a C 6 z f d M M x + Q Z r 3 W G r e K 9 h 0 d T f u O V t X d v m M X O 6 N 9 K e 3 5 T h y / W + u D L m 6 L u t / F 7 T w 7 X W y P E 3 x I j 2 5 + N q 8 a r x 5 v j 5 5 s f / f D k 4 1 n u 8 0 n 9 T 3 v K 2 / d e + S N v K f e M + / A m 3 h n X u B F 3 s / e L 9 6 v g 9 8 G v w / + H P x V h 9 6 9 0 + R 8 4 f W u w d / / A I y K e Y I = < / l a t e x i t > k8 < l a t e x i t s h a 1 _ b a s e 6 4 = " / f m a 8 c e M A s i Q A k L 9 H f r V B 5 6 c h L M = " > A A A M L n i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s V p W A C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R l n d 2 P 5 E b i F 1 + B p k L h A 3 P I Y n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P O 3 X f e f e / 9 D + 7 d X x t 8 + N H H n z x 4 + O l L L X M V s L N A J l K 9 9 q l m C R f s z H C T s N e Z Y j T 1 E / b K v x h b / 6 s r p j S X 4 t Q s M / Y 2 p Z H g I Q + o A f T i 4 v z b 8 w c b w + 1 h d Z F V Y 9 Q Y G 1 5 z T c 4 f D j 6 f z m S Q p 0 y Y I K F a / z g a Z u Z t Q Z X h Q c L K t W m u W U a D C x q x w p f y w l B f l 6 S + N k m m Z M i 0 X R B N v r r M a c L N k k B I w n Q v k 6 Y 6 l M J 0 M v 0 E X L 6 k a k Z S a m K i l 6 k v k 5 U s i 1 0 S Z F 1 R J a S J u Y h 6 g Y I H L F Q 0 a I c P Z A p O 4 4 Y l o V R k 9 P X j L c J M s N 3 L T X m g p F W z d L m O y E j R L F 7 2 J U j L + 3 B t E m 5 g s w G B w W e 9 g I A b V l Y R k Z J 5 R u C 5 q k 5 / Z 9 X I P F i U N j D k U a 5 u C G Y 1 M R J W X k f A 6 t d t f w h 2 e b n e 1 y i J p O I m h k W X E I m P + v a o 8 q b A l l X L N T G T i t 3 I Y y J P Y U N p t Q o j S U y v G E m Y M U w R 6 2 P q l s 2 l e W K 4 k v O 2 G p A Z M W G D 2 W 3 d A S h P q A I 1 / l d 4 H N s D c m M n a j n T c S K q h c 4 k L H B G b J Q m X B B a j 9 J L W F T H r V x b 2 9 z c J B M l Z Q i T O A 3 M M m F F l l A u S t v k 1 i D f N y X f I j M W c s H t v g E q m V K x N h V s 3 i Q X c C Y y q S t / W U w 6 D 7 2 o d p C y 2 G v t X k x z L 4 v T x u h 5 E 5 a m t C y O q l v P E 0 g l E x B 0 W R Z j N H s R c N D z N K t n 3 2 n t / i i w b Z h 7 X N 1 q n W R m i y I V S A X r t 3 + i m G 5 N X W d O t 8 r a Q V W U c n D Z L p Z Z f d c h F C m a b o G j L D t x d P E v c X S B c Q l P V 4 K A g R / K A w Y 3 d d x t k 9 b z k S b g l t n q i Z o A n W c r A c B w J V y E K 3 5 g 6 I f i L 9 B h H 3 A L M m q X L i O H r 5 l C D L b D I W 9 H A d v h m Q 4 R T 6 E R H d 8 T 4 + N j q k 1 R T A 1 b m K J 6 L n + a A i q b 0 g V w S g 2 F V 3 C d c W S V K I 7 O 2 + E M F 0 t S a 9 G k 9 F 5 x V b n 8 F G a A f x T 3 6 z v k I w o c C h A x h x i i 2 K E Y k X Z I I 1 o 4 1 P Z C 5 F C E a O n Q E t G 1 Q 9 e I l E M K 0 a V D l 4 i E Q 2 2 X 5 g 7 l i I 4 c O k J 0 5 d A V o r l D c 0 Q y Z R H K W D + h D w 6 e a X 3 V U 9 n p E 2 k p / A 0 d 2 3 G x O x i 2 5 9 A e o k O H D m 8 r L J n D r w K B P m G K L 1 D z u p U q 2 V 0 T O a H R t e y 7 r j u u 6 3 7 r r U w X U 4 N T g Q 1 J c z 5 j 1 n K l b j I 1 F U 2 / n k K L Y q + e 4 u Z e d P G L V o Y u b q V 4 3 s X P E R 9 0 8 Q H i 4 y 4 + R r z f x f u t z F 1 8 i H j S x R P E J 1 1 8 g v i s i 8 / + Y 4 G 1 P J 1 v q E r c R 5 o Z T W R I 4 J f Z h + / E L + v 0 c Z 3 r + 8 U Y 5 0 d 0 4 t A z R M 9 Q A U T H D r 1 B 9 A b f L F D d 5 n u m m Q 9 I s 1 5 r j V t F + 4 6 O p n 1 H q + p u 3 7 G L n d G + l P Z 8 J 4 7 f r f V B F 7 d F 3 e / i d p 6 d L r b H C T 6 k R z c / m 1 e N l 4 + 3 R 0 + 2 v / v h y c b T 3 e a T + p 7 3 h b f u P f J G 3 j f e U + / A m 3 h n X u B F 3 s / e L 9 6 v g 9 8 G v w / + H P x V h 9 6 9 0 + R 8 5 v W u w d / / A J h S e Y M = < / l a t e x i t > k9 < l a t e x i t s h a 1 _ b a s e 6 4 = " z d s l q 9 Y q 6 V H 7 + C Q e G Z v X Q + i m E g I = " > A A A M L n i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A I o c C s d e J b c A w t o 6 d B O m m B q W l J M I S K Z O U d 9 e C H q H X 9 j X 6 N A V 6 K H r t Y 3 Q o i S P J 6 x Y V Y G v 0 m x l + / G e o l Z 8 l X J v h 8 I 8 7 d 9 9 7 / 4 M P P 7 p 3 f 2 3 w 8 S e f f v b g 4 e e v t M x V w M 4 C m U j 1 x q e a J V y w M 8 N N w t 5 k i t H U T 9 h r / 2 J s / a + v m N J c i l O z z N i 7 l E a C h z y g B t D L i / O n 5 w 8 2 h t v D 6 i K r x q g x N r z m m p w / H H w 5 n c k g T 5 k w  Q U K 1 / n E 0 z M y 7 g i r D g 4 S V a 9 N c s 4 w G F z R i h S / l h a G + L k l 9 b Z J M y Z B p u y C a f H O Z 0 4 S b J Y G Q h O l e J k 1 1 K I X p Z P o J u H x J 1 Y y k 1 M R E L 1 N f J i t Z F r s k y L q i S k g T c x H 1 A g U P W K h o 0 A 4 f y B S c x g 1 L Q q n I 6 N v H W 4 S Z Y L u X m / J A S a t m 6 X I d k Z G i W b z s S 5 C W 9 + H a J N z A Z g M C g 8 9 6 A Q E 3 r K w i I i X z j M B z V Z 3 + z q q R e b A o b W D I o 1 z d E M x q Y i S s v I 6 A 1 a / b / h D s 8 n K 9 r 1 E S S c V N D I s u I R I f 9 e 1 R 5 U 2 B L a u W a 2 I m F b u R x 0 S e w o b S a h V G k p h e M Z I w Y 5 g i 1 s f U L Z t L 8 8 R w J e d t N S A z Y s I G s 9 u 6 A 1 C e U A V q / K / w O L Y H 5 M Z O 1 H K m 4 0 R U C 5 1 J W O C M 2 C h N u C C 0 H q W X s K i O W 7 m 2 t r m 5 S S Z K y h A m c R q Y Z c K K L K F c l L b J r U G + b 0 q + R W Y s 5 I L b f Q N U M q V i b S r Y v E k u 4 E x k U l f + s p h 0 H n p R 7 S B l s d f a v Z j m X h a n j d H z J i x N a V k c V b e e J 5 B K J i D o s i z G a P Y i 4 K D n a V b P v t P a / V F g 2 z D 3 u L r V O s n M F k U q k A r W b / 9 E M d 2 a u s 6 c b p W 1 g 6 o o 5 e C y X S y z + q 5 D K F I 0 3 Q J H W X b i 6 O J f 4 u g C 4 x K e r g Q B A z + U B w x u 6 r j b J q 3 n I 0 3 A L b P V E z U B O s 9 W A o D h S r g I V / z A 0 A / F X 6 D D P u A W Z N Q u X U Y O X z O F G G y H Q 9 6 O A r b D M x 0 i n k I j O r 4 n x s f H V J u i m B q 2 M E X 1 X P 4 0 B V Q 2 p Q v g l B o K r + A 6 4 8 g q U R y d t 8 M Z L p a k 1 q J J 6 b 3 i q n L 5 K c w A / y j u 1 3 f I R x Q 4 F C B i D j F E s U M x I u 2 Q R r R w q O 2 F y K E I 0 d K h J a J r h 6 4 R K Y c U o k u H L h E J h 9 o u z R 3 K E R 0 5 d I T o y q E r R H O H 5 o h k y i K U s X 5 C H x w 8 0 / q q p 7 L T J 9 J S + B s 6 t u N i d z B s z 6 E 9 R I c O H d 5 W W D K H X w U C f c I U X 6 D m d S t V s r s m c k K j a 9 l 3 X X d c 1 / 3 W W 5 k u p g a n A h u S 5 n z G r O V K 3 W R q K p p + P Y U W x V 4 9 x c 2 9 7 O K X r Q x d 3 E r x o o t f I D 7 o 4 g P E x 1 1 8 j H i / i / d b m b v 4 E P G k i y e I T 7 r 4 B P F Z F 5 / 9 x w J r e T r f U J W 4 j z Q z m s i Q w C + z D 9 + J X 9 f p 4 z r X 9 4 s x z o / o x K H n i J 6 j A o i O H X q L 6 C 2 + W a C 6 z f d M M x + Q Z r 3 W G r e K 9 h 0 d T f u O V t X d v m M X O G I J + x M c x 2 x N 6 l k N H Y j 9 t q 9 H B v / 6 2 s m F R f J q c 5 T 9 i 6 m Q c J 9 7 l E N 6 H y a u / H F 6 O L B x n B 7 W F 1 k 2 R g 1 x o b T X J O L h 4 O v p z P h Z T F L t B d R p X 4 a D V P 9 r q B S c y 9 i 5 d o 0 U y y l 3 i U N W O E K c a m p q 0 p S X 5 s k l c J n y q y J R t 9 d Z T T i O i c Q E j H V y 6 S x 8 k W i O 5 l u B C 5 X U D k j M d U h U X n s i m g p y 2 C b B F n X V C Z C h z w J e o E J 9 5 g v q d c O 7 4 k Y n N o O S 3 w h y e j 7 x 1 u E a W + 7 l x t z T w o j a G l z L R G B p G m Y 9 y W I y / t w b R K u Y b M e g c F n v Q C P a 1 Z W E Y E U W U r g u S p Q f 2 f V y N x b l C b Q 5 0 E m b w l m N N E C V l 5 H w O r X T Y s k 7 O p q v a 9 R F A j J d Q i L L i E S H 9 X q q P K 2 w I Z V y 9 U h E 5 L d y m N J F s O G 4 m o V W p C Q X j M S M a 2 Z J M b H 5 I r N x V m k u R T z t h q Q G b D E B L N V 3 Q E o i 6 g E N f 5 X e B i a M 3 J r J z K f q T B K q o X O B C x w R k y U I j w h t B 6 l l 7 C o T l y 5 t r a 5 u U k m U g g f J r E a 6 D x i R R p R n p S m y Y 1 B n j U l 3 y I z 5 v O E m 3 0 D l C K m y d o 0 Y f M m u Y A z k Q p V + c t i 0 n n o R b W D l M V e a / d i m n t Z n D Z G z x u x O K Z l c V T d e h 5 P S B G B o H l Z j N H s R c B B z + K 0 n n 2 n t f u j w L Z h 7 n F 1 q 3 U S q S m K k C A V r N / 8 J c V 0 a 2 o 7 c 7 p V 1 g 4 q g 5 i D y 3 S x S O u 7 8 q F I w X Q L H G X Z i a O L f 4 m j C 4 y L e L w U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S p L l w K A 4 U p 4 4 i / 5 g a E f i r 9 A h 3 n A L Y i g X b o I L L 5 h E j H Y F v u 8 H Q V s i 2 f K R z y F R r R 8 L x k f H 1 O l i 2 K q 2 U I X 1 X P 5 8 x R Q 2 Z T O g 1 O q K b y C 6 4 w j o 0 R x d N E O p 3 m S k 1 q L J q X 3 i q v K 5 c Y w A / y j u F / X I h e R Z 5 G H i F n E E I U W h Y i U R Q r R w q K 2 F w K L A k S 5 R T m i G 4 t u E E m L J K I r i 6 4 Q J R a 1 X Z p Z l C E 6 s u g I 0 b V F 1 4 j m F s 0 R i Z g F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z H x u 5 g 2 J 5 F e 4 g O L T p c V V g y h 1 8 F A n 3 C J F + g 5 n U r V b L b J r J C o y v v u 2 4 6 r p t + 6 y 1 N F 1 K N U 4 E N S X M + Y 8 a y p W 4 y F U 2 a f j 2 F F s V e P c X N v e r i V W S K S v s p R z R d 3 O G 9 8 / M f D U H i M o = " > A A A M M X i c j Z b d T t x G F M e d 9 C t h + 5 G 0 6 l V v R i C k V K J 0 F 0 W q e l E p s C S A h N C W A I n S T d H Y O 7 a n 2 B 4 z M 2 b X W H 6 H 3 r a v 0 a f J X d X b v k T P 2 J 5 j m 9 1 W t Q Q + / p 1 z 5 u N / z n j t p h F X e j h 8 d + / + e + 9 / 8 O F H D x 6 u D T 7 + 5 N P P H j 3 + / E K J T H r s 3 B O R k K 9 d q l j E E 3 a u u Y 7 Y 6 1 Q y G r s R e + V e j Y 3 / 1 Q 2 T i o v k T O c p e x v T I O E + 9 6 g G d D H N 3 f h y 5 / L R x n B 7 W F 1 k 2 R g 1 x o b T X J P L x 4 M v p z P h Z T F L t B d R p X 4 a D V P 9 t q B S c y 9 i 5 d o 0 U y y l 3 h U N W O E K c a W p q 0 p S X 5 s k l c J n y q y J R t 9 c Z z T i O i c Q E j H V y 6 S x 8 k W i O 5 l u B C 5 X U D k j M d U h U X n s i m g p y 2 C b B F k 3 V C Z C h z w J e o E J 9 5 g v q d c O 7 4 k Y n N o O S 3 w h y e j b n S 3 C t L f d y 4 2 5 J 4 U R t L S 5 l o h A 0 j T M + x L E 5 U O 4 N g n X s F m P w O C z X o D H N S u r i E C K L C X w X B W o v 7 N q Z O 4 t S h P o 8 y C T d w Q z m m g B K 6 8 j Y P X r p k U S d n 2 9 3 t c o C o T k O o R F l x C J j 2 p 1 V H l X Y M O q 5 e q Q C c n u 5 L E k i 2 F D c b U K L U h I b x i J m N Z M E u N j c s X m 4 i z S X I p 5 W w 3 I D F h i g t m q 7 g C U R V S C G v 8 r P A z N G b m z E 5 n P V B g l 1 U J n A h Y 4 I y Z K E Z 4 Q W o / S S 1 h U J 6 5 c W 9 v c 3 C Q T K Y Q P k 1 g N d B 6 x I o 0 o T 0 r T 5 M Y g P z Q l 3 y I z 5 v O E m 3 0 D l C K m y d o 0 Y f M m u Y A z k Q p V + c t i 0 n n o R b W D l M V + a / d i m n t Z n D V G z x u x O K Z l c V z d e h 5 P S B G B o H l Z j N H s R c B B z + K 0 n n 2 3 t f u j w L Z h 7 n F 1 q 3 U S q S m K k C A V r N / 8 J c V 0 a 2 o 7 c 7 p V 1 g 4 q g 5 i D y 3 S x S O u 7 8 q F I w X Q L H G X Z i a O L f 4 m j C 4 y L e L w U B A z 8 U B 4 w u K 7 j V k 1 a z 0 e a g B W z 1 R M 1 A S p L l w K A 4 U p 4 4 i / 5 g a E f i r 9 A h 3 n A L Y i g X b o I L L 5 l E j H Y F v u 8 H Q V s i 2 f K R z y F R r R 8 P x m f n F C l i 2 K q 2 U I X 1 X P 5 8 x R Q 2 Z T O g 1 O q K b y C 6 4 x j o 0 R x f N k O p 3 m S k 1 q L J q X 3 i q v K 5 c Y w A / y j u F / X I h e R Z 5 G H i F n E E I U W h Y i U R Q r R w q K 2 F w K L A k S 5 R T m i W 4 t u E U m L J K J r i 6 4 R J R a 1 X Z p Z l C E 6 t u g Y 0 Y 1 F N 4 j m F s 0 R i Z g F K G P 9 h D 4 4 e L r 1 V U 9 l p 0 + E o f A 3 t G z X x u 5 i 2 L 5 F + 4 i O L D p a V V g y h 1 8 F A n 3 C J F + g 5 n U r V b L b J r J C o y v v u 2 4 7 r t t + 6 y 1 N F 1 K N U 4 E N S X M + Y + Z E 9 V J W A 0 / v P 3 i R A L A 4 k 0 L W s g n Y = " > A A A M M X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H d L Z U Q F 0 h N N m 0 S K Y q W N E m r s i U a e 8 f 2 E N v j z I y z 6 1 h + B 2 7 h N X i a 3 i F u e Q n O 2 J 5 j O 7 s g L C U + / p 1 z 5 u N / z n j t p h F X e j h 8 d + f u e + 9 / 8 O F H 9 + 6 v D T 7 + 5 N P P H j z 8 / F y J T H r s  z B O R k K 9 d q l j E E 3 a m u Y 7 Y 6 1 Q y G r s R e + V e j o 3 / 1 T W T i o v k V O c p e x v T I O E + 9 6 g G d D 7 N 3 f j i 2 4 s H G 8 P t Y X W R Z W P U G B t O c 0 0 u H g 6 + n M 6 E l 8 U s 0 V 5 E l f p p N E z 1 2 4 J K z b 2 I l W v T T L G U e p c 0 Y I U r x K W m r i p J f W 2 S V A q f K b M m G n 1 z l d G I 6 5 x A S M R U L 5 P G y h e J 7 m S 6 E b h c Q e W M x F S H R O W x K 6 K l L I N t E m R d U 5 k I H f I k 6 A U m 3 G O + p F 4 7 v C d i c G o 7 L P G F J K P H T 7 Y I 0 9 5 2 L z f m n h R G 0 N L m W i I C S d M w 7 0 s Q l / f h 2 i R c w 2 Y 9 A o P P e g E e 1 6 y s I g I p s p T A c 1 W g / s 6 q k b m 3 K E 2 g z 4 N M 3 h L M a K I F r L y O g N W v m x Z J 2 N X V e l + j K B C S 6 x A W X U I k P q r V U e V t g Q 2 r l q t D J i S 7 l c e S L I Y N x d U q t C A h v W Y k Y l o z S Y y P y R W b i 7 N I c y n m b T U g M 2 C J C W a r u g N Q F l E J a v y v 8 D A 0 Z + T W T m Q + U 2 G U V A u d C V j g j J g o R X h C a D 1 K L 2 F R n b h y b W 1 z c 5 N M p B A + T G I 1 0 H n E i j S i P C l N k x u D / N C U f I v M m M 8 T b v Y N U I q Y J m v T h M 2 b 5 A L O R C p U 5 S + L S e e h F 9 U O U h Z 7 r d 2 L a e 5 l c d o Y P W / E 4 p i W x V F 1 6 3 k 8 I U U E g u Z l M U a z F w E H P Y v T e v a d 1 u 6 P A t u G u c f V r d Z J p K Y o Q o J U s H 7 z l x T T r a n t z O l W W T u o D G I O L t P F I q 3 v y o c i B d M t c J R l J 4 4 u / i W O L j A u 4 v F S E D D w Q 3 n A 4 L q O W z V p P R 9 p A l b M V k / U B K g s X Q o A h i v h i b / k B 4 Z + K P 4 C H e Y B t y C C d u k i s P i G S c R g W + z z d h S w L Z 4 p H / E U G t H y v W R 8 f E y V L o q p Z g t d V M / l z 1 N A Z V M 6 D 0 6 p p v A K r j O O j B L F 0 U U 7 n O Z J T m o t m p T e K 6 4 q l x v D D P C P 4 n 5 d i 1 x E n k U e I m Y R Q x R a F C J S F i l E C 4 v a X g g s C h D l F u W I b i y 6 Q S Q t k o i u L L p C l F j U d m l m U Y b o y K I j R N c W X S O a W z R H J G I W o I z 1 E / r g 4 O n W V z 2 V n T 4 R h s L f 0 L I d G 7 u D Y X s W 7 S E 6 t O h w V W H J H H 4 V C P Q J k 3 y B m t e t V M l u m 8 g K j a 6 8 7 7 r p u G 7 6 r b c 0 X U g 1 T g U 2 J M 3 5 j B n L l r r J V D R p + v U U W h R 7 9 R Q 3 9 7 K L X 7 Y y d H E K 2 F k g E 6 l e + 1 S z h A t 2 Z r h J 2 O t M M Z r 6 C X v l X 4 y t / 9 U V U 5 p L c W q W G X u b 0 k j w k A f U W D R d + O n 5 g 4 3 h 9 r C 6 y K o x a o w N r 7 k m 5 w 8 H X 0 5 n M s h T J k y Q U K 1 / G g 0 z 8 7 a g y v A g Y e X a N N c s o 8 E F j V j h S 3 l h q K 9 L U l + b J F M y Z N q u i C b f X O Y 0 4 W Z J I C R h u p d J U x 1 K Y T q Z f g I u X 1 I 1 I y k 1 M d H L 1 J f J S p b F L g m y r q g S 0 s R c R L 1 A w Q M W K h q 0 w w c y B a d x w 5 J Q K j L 6 9 v E W Y S b Y 7 u W m P F D S y l m 6 X E d k p G g W L / s S p O V 9 u D Y J N 7 D Z g M D g s 1 5 A w A 0 r q 4 h I y T w j 8 F y V p 7 + z a m Q e L E o b G P I o V z c E s 5 o Y C S u v I 2 D 1 6 7 Z B B L u 8 X O 9 r l E R S c R P D o k u I x E d 9 e 1 R 5 U 2 D L q u W a m E n F b u Q x k a e w o b R a h Z E k p l e M J M w Y p o j 1 M X X L 5 t I 8 M V z J e V s N y I y Y s M H s t u 4 A l C d U g R r / K z y O 7 Q m 5 s R O 1 n O k 4 E d V C Z x I W O C M 2 S h M u C K 1 H 6 S U s q v N W r q 1 t b m 6 S i Z I y h E m c B m a Z s C J L K B e l b X J r k B + a k m + R G Q u 5 4 H b f A J V M q V i b C j Z v k g s 4 E 5 n U l b 8 s J p 2 H X l Q 7 S F n s t X Y v p r m X x W l j 9 L w J S 1 N a F k f V r e c J p J I J C L o s i z G a v Q g 4 6 H m a 1 b P v t H Z / F N g 2 z D 2 u b r V O M r N F k Q q k g v X b P 1 F M t 6 a u M 6 d b Z e 2 g K k o 5 u G w X y 6 y + 6 x C K F E 2 3 w F G W n T i 6 + J c 4 u s C 4 h K c r Q c D A D + U B g 5 s 6 7 r Z J 6 / l I E 3 D L b P V E T Y D O s 5 U A Y L g S L s I V P z D 0 Q / E X 6 L A P u A U Z t U u X k c P X T C E G 2 + G Q t 6 O A 7 f B M h 4 i n 0 I i O 7 4 n x 8 T H V p i i m h i 1 M U T 2 X 7 6 a A y q Z 0 A Z x S Q + E V X G c c W S W K o / N 2 O M P F k t R a N C m 9 V 1 x V L j + F G e A f x f 3 6 D v m I A o c C R M w h h i h 2 K E a k H d K I F g 6 1 v R A 5 F C F a O r R E d O 3 Q N S L l k E J 0 6 d A l I u F Q 2 6 W 5 Q z m i I 4 e O E F 0 5 d I V o 7 t A c k U x Z h D L W T + i D g 2 d a X / V U d v p E W g p / Q 8 d 2 X O w O h u 0 5 t I f o 0 K H D 2 w p L 5 v C r Q K B P m O I L 1 L x u p U p 2 1 0 R O a H Q t + 6 7 r j u u 6 3 3 o r 0 8 X U 4 F R g Q 9 K c z 5 i 1 X K m b T E 1 F 0 6 + n 0 K L Y q 6 e 4 u R d d / K K V o Y t b K Z 5 3 8 X P E B 1 1 8 g P i 4 i 4 8 R 7 3 f x f i t z F x 8 i n n T x B P F J F 5 8 g P u v i s / 9 Y Y C 1 P 5 x u q E v e R Z k Y T G R L 4 Z f b h Q / H r O n 1 c 5 / p + M c b 5 E Z 0 4 9 A z R M 1 Q A 0 b F D b x C 9 w T c L V L f 5 n m n m A 9 K s 1 1 r j V t G + o 6 N p 3 9 G q u t t 3 7 G J n t C + l P d + J 4 3 d r f d D F b V H 3 u 7 i d Z 6 e L 7 X G C D + n R z c / m V e P l 4 + 3 R k + 3 v f 3 y y 8 X S 3 + a S + 5 3 3 l r X u P v J H 3 n f f U O / A m 3 p k X e L H 3 s / e L 9 + v g t 8 H v g z 8 H f 9 W h d + 8 0 O V 9 4 v W v w 9 z 8 x 7 3 o u < / l a t e x i t > y < l a t e x i t s h a 1 _ b a s e 6 4 = " M j Y p u y n c O H W p k p + 5  I O x K O z K N i 3 Y = " > A A A M L 3 i c j Z b N b t t G E M e Z 9 C u R + p G 0 6 K m X h Q 0 D K e C 6 U h C g 6 K F A b D m x D R i G 6 t h J k C o x l t S S X J j k 0 r t L S z T B V + i 1 f Y 0 + T d F L 0 W v f o r M k d 0 h a a l E C N o e / m d m P / 8 x S d N O I K z 0 a / X H n 7 n v v f / D h R / f u D 4 Y f f / L p Z w 8 e f v 5 S i U x 6 7 N w T k Z C v X a p Y x B N 2 r r m O 2 O t U M h q 7 E X v l X k 6 M / 9 U 1 k 4 q L 5 E z n K X s b 0 y D h P v e o N m i W u / H F g 8 3 R z q i 6 y K o x b o x N p 7 m m F w + H X 8 7 m w s t i l m g v o k r 9 N B 6 l + m 1 B p e Z e x M r B L F M s p d 4 l D V j h C n G p q a t K U l 9 b J J X C Z 8 q s i E b f X G U 0 4 j o n E B I x 1 c u k s f J F o j u Z b g Q u V 1 A 5 J z H V I V F 5 7 I p o J c t g m w R Z 1 1 Q m Q o c 8 C X q B C f e Y L 6 n X D u + J G J z a D k t 8 I c n 4 2 8 f b h G l v p 5 c b c 0 8 K I 2 d p c y 0 R g a R p m P c l i M v 7 c G 0 R r m G z H o H B 5 7 0 A j 2 t W V h G B F F l K 4 L k q T 3 9 n 1 c j c W 5 Y m 0 O d B J m 8 J Z j T R A l Z e R 8 D q N 0 y D J O z q a q O v U R Q I y X U I i y 4 h E h / V + q j y t s C G V c v V I R O S 3 c p j S R b D h u J q F V q Q k F 4 z E j G t m S T G x + S a z c V Z p L k U i 7 Y a k B m w x A S z d d 0 B K I u o B D X + V 3 g Y m h N y a y c y n 6 s w S q q F z g U s c E 5 M l C I 8 I b Q e p Z e w r M 5 b O R h s b W 2 R q R T C h 0 m s B j q P W J F G l C e l a X J j k B + a k m + T O f N 5 w s 2 + A U o R 0 2 Q w S 9 i i S S 7 g T K R C V f 6 y m H Y e e l H t I G W x 3 9 q 9 m O Z e F m e N 0 f N G L I 5 p W R x X t 5 7 H E 1 J E I G h e F h M 0 e x F w 0 L M 4 r W f f b e 3 + K L B t m H t S 3 W q d R G q K I i R I B e s 3 f 0 k x 2 5 7 Z z p x t l 7 W D y i D m 4 D J d L N L 6 r n w o U j D b B k d Z d u L o 8 l / i 6 B L j I h 6 v B A E D P 5 Q H D K 7 r u H W T 1 v O R J m D N b P V E T Y D K 0 p U A Y L g S n v g r f m D o h + I v 0 W E e c A s i a J c u A o t v m E Q M t s U + b 0 c B 2 + K 5 8 h H P o B E t 3 0 8 m J y d U 6 a K Y a b b U R f V c v p s B K p v S e X B K N Y V X c J 1 x b J Q o j i / a 4 T R P c l J r 0 a T 0 X n F V u d w Y Z o B / F P f r W u Q i 8 i z y E D G L G K L Q o h C R s k g h W l r U 9 k J g U Y A o t y h H d G P R D S J p k U R 0 Z d E V o s S i t k s z i z J E x x Y d I 7 q 2 6 B r R w q I F I h G z A G W s n 9 A H B 0 + 3 v u q p 7 P S J M B T + R p b t 2 t h d D N u 3 a B / R k U V H 6 w p L F v C r Q K B P m O R L 1 L x u p U p 2 2 0 R W a H T l f d d N x 3 X T b 7 2 V 6 U K q c S q w I W n B 5 8 x Y t t R N p q J J 0 6 9 n 0 K L Y q 2 e 4 u R d d / K K V o Y t b K Z 5 3 8 X P E h 1 1 8 i P i k i 0 8 Q H 3 T x Q S t z F x 8 h n n b x F P F p F 5 8 i P u / i 8 / 9 Y Y C 1 P 5 x u q E v e R Y l o R 4 R P 4 Z X b h Q / H r O n 1 S 5 7 p u M c H 5 E Z 1 a 9 A z R M 1 Q A 0 Y l F b x C 9 w T c L V L f 5 n m n m A 9 K s 1 1 i T V t G + o 6 N p 3 9 G q u t d 3 7 G F n t C + l f d e K 4 3 Z r f d j F b V E P u r i d Z 7 L L E K 5 X g X i l B M S F b V Z z v Q S t t a / / w = " > A A A M L X i c j Z b d b t x E F M f d 8 t V m + W h B X H E z S h S p S C H s R k i I C 6 Q m m z a J F E V L m r R V 2 R K N v W N 7 F H v G m R O l L L X M V s P N A J l K 9 9 q l m C R f s 3 H C T s N e Z Y j T 1 E / b K v x x b / 6 t r p j S X 4 s w s M / Y 2 p Z H g I Q + o A X Q 6 L S 4 e b Q y 3 h 9 V F V o 1 R Y 2 x 4 z T W 5 e D z 4 f D q T Q Z 4 y Y Y K E a v 3 j a J i Z t w V V h g c J K 9 e m u W Y Z D S 5 p x A p f y k t D f V 2 S + t o k m Z I h 0 3 Y 9 N P n q K q c J N 0 s C I Q n T v U y a 6 l A K 0 8 n 0 E 3 D 5 k q o Z S a m J i V 6 m v k x W s i x 2 S Z B 1 T Z W Q J u Y i 6 g U K H r B Q 0 a A d P p A p O I 0 b l o R S k d H X O 1 u E m W C 7 l 5 v y Q E k r Z u l y H Z G R o l m 8 7 E u Q l g / h 2 i T c w G Y D A o P P e g E B N 6 y s I i I l 8 4 z A c 1 W c / s 6 q k X m w K G 1 g y K N c 3 R L M a m I k r L y O g N W v 2 / Y Q 7 O p q v a 9 R E k n F T Q y L L i E S H / X d U e V t g S 2 r l m t i J h W 7 l c d E n s K G 0 m o V R p K Y X j O S M G O Y I t b H 1 B 2 b S / P E c C X n b T U g M 2 L C B r O 7 u g N Q n l A F a v y v 8 D i 2 5 + P W T t R y p u N E V A u d S V j g j N g o T b g g t B 6 l l 7 C o T l u 5 t r a 5 u U k m S s o Q J n E a m G X C i i y h X J S 2 y a 1 B v m 9 K v k V m L O S C 2 3 0 D V D K l Y m 0 q 2 L x J L u B M Z F J X / r K Y d B 5 6 U e 0 g Z b H f 2 r 2 Y 5 l 4 W Z 4 3 R 8 y Y s T W l Z H F e 3 n i e Q S i Y g 6 L I s x m j 2 I u C g 5 2 l W z 7 7 b 2 v 1 R Y N s w 9 7 i 6 1 T r J z B Z F K p A K 1 m / / R D H d m r r O n G 6 V t Y O q K O X g s l 0 s s / q u Q y h S N N 0 C R 1 l 2 4 u j i X + L o A u M S n q 4 E A Q M / l A c M b u q 4 u y a t 5 y N N w B 2 z 1 R M 1 A T r P V g K A 4 U q 4 C F f 8 w N A P x V + g w z 7 g F m T U L l 1 G D t 8 w h R h s h 0 P e j g K 2 w z M d I p 5 C I z q + L 8 Y n J 1 S b o p g a t j B F 9 V z + N A V U N q U L 4 J Q a C q / g O u P Y K l E c X 7 T D G S 6 W p N a i S e m 9 4 q p y + S n M A P 8 o 7 t d 3 y E c U O B Q g Y g 4 x R L F D M S L t k E a 0 c K j t h c i h C N H S o S W i G 4 d u E C m H F K I r h 6 4 Q C Y f a L s 0 d y h E d O 3 S M 6 N q h a 0 R z h + a I Z M o i l L F + Q h 8 c P N P 6 q q e y 0 y f S U v g b O r b r Y n c x b N + h f U R H D h 3 d V V g y h 1 8 F A n 3 C F F + g 5 n U r V b K 7 J n J C o 2 v Z d 9 1 0 X D f 9 1 l u Z L q Y G p w I b k u Z 8 x q z l S t 1 k a i q a f j 2 D F s V e P c P N v e j i F 6 0 M X d x K 8 b y L n y M + 7 O J D x C d d f I L 4 o I s P W p m 7 + A j x p I s n i E + 7 + B T x e R e f / 8 c C a 3 k 6 3 1 C V u E 8 0 M 5 r I k M A v s w + f i V / W 6 e M 6 1 / e L M c 6 P 6 N S h Z 4 i e o Q K I T h x 6 g + g N v l m g u s 3 3 T D M f k G a 9 1 h q 3 i v Y d H U 3 7 j l b V v b 5 j D z u j f S n t + 0 4 c v 1 v r w y 5 u i 3 r Q x e 0 8 u 1 1 s j x N 8 S I 9 u f z a v G i 9 3 t k f f b H / 3 w 8 7 G 0 7 3 m k / q B 9 4 W 3 7 j 3 x R t 6 3 3 l P v 0 J t 4 5 1 7 g h d 7 P 3 i / e r 4 P f B r 8 P / h z 8 V Y f e v 9 f k f O b 1 r s H f / w B s + X l M < / l a t e x i t > 2019a) and are fully consistent with the traditional asynchronous parallel optimization methods (Lian et al., 2015; Sun et al., 2017) . We numerically validate ASYNC-RED on image recovery from linear and noisy measurements using pre-trained deep denoisers as image priors.

2. BACKGROUND

Inverse problems. Inverse problems are traditionally formulated as a composite optimization problem b x = arg min x2R n g(x) + h(x), where g is the data-fidelity term that ensures consistency of x with the measured data y and h is the regularizer that infuses the prior knowledge on x. For example, consider the smooth `2-norm data-fidelity term g(x) = ky Axk 2 2 , which assumes a linear observation model y = Ax + e, and the nonsmooth TV regularizer h(x) = ⌧ kDxk 1 , where ⌧ > 0 is the regularization parameter and D is the image gradient (Rudin et al., 1992) .

Regularization by denoising (RED). RED is a recent methodology for imaging inverse problems that seeks vectors x

⇤ 2 R n satisfying G(x ⇤ ) = rg(x ⇤ ) + ⌧ (x ⇤ D (x ⇤ )) = 0 , x ⇤ 2 zer(G) := {x 2 R n : G(x) = 0} (2) where rg denotes the gradient of the data-fidelity term and D : R n ! R n is an image denoiser parameterized by > 0. Under additional technical assumptions, the solutions x ⇤ 2 zer(G) can be associated with an explicit objective function of form (1). Specifically, when D is locally homogeneous and has a symmetric Jacobian satisfying strong passivity (Romano et al., 2017; Reehorst & Schniter, 2019) , H(x) := x D (x) corresponds to the gradient of a convex regularizer h(x) = 1 2 x T (x D (x)). (3) A simple strategy, known as GM-RED, for computing x ⇤ 2 zer(G) is based on the first-order fixed-point iteration x t = x t 1 G(x t 1 ), with G : R n ! R n , where > 0 denotes the stepsize. In this paper, we extend this first-order RED algorithm to design ASYNC-RED. Since many denoisers do not satisfy the assumptions necessary for having an explicit objective (Reehorst & Schniter, 2019) , our theoretical analysis considers a broader setting where D does not necessarily correspond to any explicit regularizer. The benefit of our analysis is that it accommodates powerful deep denoisers (such as DnCNN (Zhang et al., 2017a) ) that have been shown to achieve the state-of-the-art performance (Sun et al., 2019a; Wu et al., 2020; Cohen et al., 2020) . Plug-and-play priors (PnP) and other related work. There are other lines of works that combine the iterative methods with advanced denoisers. One closely-related framework is known as the deep mean-shift priors (Bigdeli et al., 2017) . It develops an implicit regularizer whose gradient is specified by a denoising autoencoder. Another well-known framework is PnP, which generalizes proximal methods by replacing the proximal map with an image denoiser (Venkatakrishnan et al., 2013) . Applications and theoretical analysis of PnP are widely studied in (Sreehari et al., 2016; Zhang et al., 2017b; Sun et al., 2019; Zhang et al., 2019; Ahmad et al., 2020; Wei et al., 2020) and (Chan et al., 2017; Meinhardt et al., 2017; Buzzard et al., 2018; Sun et al., 2019b; Tirer & Giryes, 2019; Teodoro et al., 2019; Ryu et al., 2019; Xu et al., 2020) , respectively. In particular, Buzzard et al. (2018) proposed a parallel extension of PnP called Consensus Equilibrium (CE), which enables synchronous parallel updates of x. Note that while we developed ASYNC-RED as a variant of RED, our framework and analysis can be also potentially applied to PnP/CE. The plug-in strategy can be also applied to another family of algorithms known as approximate message passing (AMP) (Metzler et al., 2016a; b; Fletcher et al., 2018) . The AMP-based algorithms are known to be nearly-optimal for random measurement matrices, but are generally unstable for general A (Rangan et al., 2014; 2015) . Asynchronous parallel optimization. There are two main lines of work in asynchronous parallel optimization, the one involving the asynchrony in coordinate updates (Iutzeler et al., 2013; Liu et al., 2015; Peng et al., 2016; Bianchi et al., 2015; Sun et al., 2017; Hannah & Yin, 2018; Hannah et al., 2019) , and the other focusing on the study of various asynchronous stochastic gradient methods (Recht et al., 2011; Lian et al., 2015; Liu et al., 2018; Zhou et al., 2018; Lian et al., 2018) . Our work contributes to the area by developing a novel deep-regularized asynchronous parallel method with provable convergence guarantees.

3. ASYNCHRONOUS RED

ASYNC-RED allows efficient processing of data by simultaneously considering the asynchronous partial updates of solution x and the use of randomized subset of measurements y. In this section, we introduce the algorithmic details of our method. We start with the basic batch formulation of ASYNC-RED (ASYNC-RED-BG) followed by its minibatch variant (ASYNC-RED-SG).

3.1. ASYNC-RED USING BATCH GRADIENT

When the gradient uses all the measurements y 2 R m , ASYNC-RED-BG is the asynchronous extension of the recent block-coordinate RED (BC-RED) algorithm (Sun et al., 2019a) . Consider the decomposition of the variable space R n into b 1 blocks x = (x 1 , • • • , x b ) 2 R n1 ⇥ • • • ⇥ R n b = R n with n = n 1 + n 2 + • • • + n b , For each i 2 {1, . . . , b}, we introduce the operator U i : R ni ! R n that injects a vector in R ni into R n and its transpose U T i that extracts the ith block from a vector in R n . This directly implies that I = U 1 U T 1 + • • • + U b U T b and kxk 2 2 = kx 1 k 2 2 + • • • + kx b k 2 2 with x i = U T i x. In analogy to the RED operator G in (2), we define the block-coordinate operator G i as G i (x) := U i U T i G(x), with x 2 R n and G i : R n ! R n . ( ) Due to the asynchrony in the block updates, the iterate might be updated several times by different cores during a single update cycle of a core, which means that the evaluation of x k+1 relies on a stale iterate e x k x k+1 x k G i k (e x k ), with e x k = x k + k 1 X s=k k (x s x s+1 ), k  . Here, we assume that the stale iterate e x k exits as a state of x in the shared memory, and the delay between them is bounded by a finite number 2 Z + . These two assumptions are often referred to as the consistent read (Recht et al., 2011) and the bounded delay (Liu & Wright, 2015) in the traditional asynchronous block coordinate optimization. Although we implement the consistent read in ASYNC-RED, the algorithm never imposes a global lock on x k . We refer to Supplement A for the related discussion. Algorithm 1 ASYNC-RED-BG 1: input: x 0 2 R n , > 0, ⌧ > 0. 2: setup: A multicore system with one shared memory storing x and global iteration k.  G i k (e x k ) U i k U T i k G(e x k ) with random i k 2 {1, . . . , b} . Block Operation 6: x k read(x) 7: x k+1 x k G i k (e x k ) 8: update x in the shared memory using x k+1 9: end for The first variant, ASYNC-RED-BG, is summarized in Algorithm 1, where read(•) reads a block from the shared memory to the local memory. When the algorithm is run on a single core system without parallelization (that is to say e x k = x k ), it reduces to the normal BC-RED algorithm. Hence, our analysis is also applicable to BC-RED. We specifically consider the random block selection strategy in ASYNC-RED-BG, namely that every block index i k is selected as an i.i.d random variable uniformly distributed over {1, . . . , b}. Such a strategy is commonly adopted for simplifying the convergence analysis. Nevertheless, our method and analysis can be generalized to the scenario where i k follows some arbitrary probability P (i k = i) = p i specified by the user. Compared with serial RED algorithms, ASYNC-RED-BG enjoys considerable scalability by dividing the computation of the full operator G into b parallel evaluation of G i distributed across all cores. Thus, without any modification to the algorithmic design, one can easily improve the performance of the algorithm by simply integrating more cores into the system. In Section 5, we experimentally demonstrate the significant speed-up and scale-up in solving the context of image recovery.

3.2. ASYNC-RED USING STOCHASTIC GRADIENT

The scale of measurements is another important factor influencing the computational complexity in the large-scale inference tasks. ASYNC-RED-SG improves the applicability of ASYNC-RED to these cases by further considering the decomposition of the measurement space R m into ` 1 blocks y = (y 1 , • • • , y `) 2 R m1 ⇥ • • • ⇥ R m `= R m with m = m 1 + m 2 + • • • + m `. Hence, ASYNC-RED-SG considers the following data-fidelity g and its gradient rg g(x) = 1 `X j=1 g j (x) ) rg(x) = 1 `X j=1 rg j (x), where each g j is evaluated on the subset y j 2 R mj of the full y. From (8), we know that the computation of rg(x) is proportional to the total number `. To reduce the per-iteration cost, we follow the idea of stochastic optimization to approximate the batch gradient by using the stochastic gradient that relies on a minibatch of w ⌧ `measurements b rg(x) = 1 w w X s=1 rg js (x), where j s is picked from the set {1, . . . , `} as i.i.d uniform random variable. Based on the minibatch gradient, we define the block stochastic operator b G i : R n ! R n as b G i := U i U T i b G(x), with b G := b rg(x) + ⌧ (x D (x)), b G : R n ! R n . ( ) Note that the computation of b G i is now dependent on the minibatch size w that is adjustable to cope with the computation resources at hand. ASYNC-RED-SG is summarized in Algorithm 2. The operation minibatchG(•) computes the estimate of G based on w randomly selected measurements. We clarify the difference between ASYNC-RED-SG and ASYNC-RED-BG via a specific example. Algorithm 2 ASYNC-RED-SG 1: input: x 0 2 R n , > 0, ⌧ > 0. 2: setup: A multicore system with one shared memory storing x and global iteration k.  G i k (e x k ) U i k U T i k b G(e x k ) with random i k 2 {1, . . . , b} . Block Operation 7: x k read(x) 8: x k+1 x k b G i k (e x k ) 9: update x in the shared memory using x k+1 10: end for Consider the least-squares g with a block-friendly operator A and a block-efficient denoiser D . We can write the update of ASYNC-RED-BG regarding a single iteration as G i (e x) = A T i (A i e x y i ) + ⌧ (e x i D(e x i )), where e x is the delayed iterate for x, and A i 2 R m⇥ni is a submatrix of A consisting of columns corresponding to the ith blocks. Although the per-iteration complexity is reduced by roughly b = n/n i times by working with A i instead of A, ASYNC-RED-BG still needs to work with all the measurements y i related to the ith block at every iteration. Consider the corresponding update of ASYNC-RED-SG with one measurement used at a time b G i (e x) = A T ji (A ji e x y ji ) + ⌧ (e x i D(e x i )), where y ji denotes the jth measurement of x i , and A ji 2 R mj ⇥ni is the submatrix crossed by the rows and columns corresponding to the jth measurement and the ith blocks. This indicates that the reduction of the per-iteration complexity from ASYNC-RED-BG to ASYNC-RED-SG can be up to `= m/m j times. In the practice, it is common to use w > 1 measurements at a time to optimize the total runtime. Note that if U = U T = I, ASYNC-RED-SG becomes the asynchronous stochastic RED algorithm. In the next section, we will present a complete analysis of ASYNC-RED and theoretically discuss its connection to the related algorithms.

4. CONVERGENCE ANALYSIS OF ASYNC-RED

The proposed analysis is based on the following explicit assumptions. Note that these assumptions serve as sufficient conditions for the convergence. Assumption 1. We assume bounded maximal delay < 1. Hence, during any update cycle of an agent, the estimate x in the shared memory is updated at most 2 Z + times by other cores. The value of is often dependent on the number of cores involved in the computation (Wright, 2015) . If every core takes a similar amount of time to compute its update, is expected to be a multiple of the number of cores. Related work has investigated the convergence with unbounded maximal delays in the context of traditional optimization (Hannah & Yin, 2018; Peng et al., 2019; Zhou et al., 2018) . Assumption 2. The operator G is such that zer(G) 6 = ?, and the distance of the initial x 0 2 R n to any element in zer(G) is bounded, that is kx 0 x ⇤ k  R 0 for all x ⇤ 2 zer(G) with R 0 < 1. This assumption ensures the existence of a solution for the RED problem and is related to the existence of minimizers in traditional coordinate minimization (Nesterov, 2012; Beck & Tetruashvili, 2013) Assumption 3. (a) Every component function g i is convex differentiable and has a Lipschitz continuous gradient of constant L i > 0. (b) At every update, the stochastic gradient is unbiased estimator of rg that has a bounded variance: E h b rg(x) i = g(x), E h k b rg(x) rg(x)k 2 i  ⌫ 2 w , x 2 R n , ⌫ > 0. The first part of the assumption implies that g is also convex and has Lipschitz continuous gradient with constant L = max{L 1 , . . . , L `}. The second part is a standard assumption on the unbiasedness  + U Q 9 H A 2 b I = " > A A A M M 3 i c j Z b b b t t G E I a Z 9 J R Y P S Q t e t W b h Q 0 D D u C 6 k l G g 6 E W B 2 H J i G z A E 1 Y f E S J U Y S 2 p J L k x y 6 d 2 l J Z n g S / S 2 f Y 0 + T N G 7 o r d 9 h 8 6 S 3 C F p q U U J 2 B x + M 7 O H f 2 Y p u m n E l e 7 3 f 3 / w 8 L 3 3 P / j w o 0 e P 1 3 o f f / L p Z 0 + e f v 5 K i U x 6 7 M I T k Z C X L l U s 4 g m 7 0 F x H 7 D K V j M Z u x F 6 7 1 0 P j f 3 3 L p O I i O d e L l L 2 N a Z B w n 3 t U A 7 o 8 G 5 2 S r e n + s 6 s n G / 2 d f n m R Z W N Q G x t O f Y 2 v n v a + n E y F l 8 U s 0 V 5 E l f p p 0 E / 1 2 5 x K z b 2 I F W u T T L G U e t c 0 Y L k r x L W m r i p I d W 2 S V A q f K b M q G n 1 9 k 9 G I 6 w W B k I i p T i a N l S 8 S 3 c p 0 I 3 C 5 g s o p i a k O i V r E r o i W s g y 2 S Z B 1 S 2 U i d M i T o B O Y c I / 5 k n r N 8 J 6 I w a n t s M Q X k g y + 2 d 0 m T H s 7 n d y Y e 1 I Y S Q u b a 4 k I J E 3 D R V e C u H g M 1 y b h G j b r E R h 8 2 g n w u G Z F G R F I k a U E n s s S d X d W j s y 9 e W E C f R 5 k 8 p 5 g R h M t Y O V V B K x + 3 T R J w m 5 u 1 r s a R Y G Q X I e w 6 A I i 8 V G t j i r u C 2 x Y u V w d M i H Z v T y W Z D F s K C 5 X o Q U J 6 S 0 j E d O a S W J 8 T K 7 Y X J x F m k s x a 6 o B m Q F L T D B b 1 R 2 A s o h K U O N / h Y e h O S X 3 d i I X U x V G S b n Q q Y A F T o m J U o Q n h F a j d B L m 5 Z k r 1 t Y 2 N z f J W A r h w y R W A 7 2 I W J 5 G l C e F a X J j k B / q k m + T K f N 5 w s 2 + A U o R 0 2 R t k r B Z n Z z D m U i F K v 1 F P m 4 9 d K K a Q Y r 8 o L E 7 M f W 9 y M 9 r o + O N W B z T I j 8 p b x 2 P J 6 S I Q N B F k Q / R 7 E T A Q c / i t J p 9 r 7 G 7 o 8 C 2 Y e 5 h e a t 0 E q k p i p A g F a z f / C X 5 Z H t i O 3 O y X V Q O K o O Y g 8 t 0 s U i r u / K h S M F k G x x F 0 Y q j 8 3 + J o 3 O M i 3 i 8 F A Q M / F A e M L i u 4 l Z N W s 1 H 6 o A V s 1 U T 1 Q E q S 5 c C g O F K e O I v + Y G h H 4 o / R 4 d 5 w C 2 I o F m 6 C C y + Y x I x 2 B b 7 v B k F b I u n y k c 8 g U a 0 / C A Z j k Z U 6 T y f a D b X e f l c v J s A K u r S e X B K N Y V X c J V x Y p T I T 6 6 a 4 T R P F q T S o k 7 p v O L K c r k x z A D / K O 7 X t c h F 5 F n k I W I W M U S h R S E i Z Z F C N L e o 6 Y X A o g D R w q I F o j u L 7 h B J i y S i G 4 t u E C U W N V 2 a W Z Q h O r H o B N G t R b e I Z h b N E I m Y B S h j 9 Y Q + O H i 6 8 Z V P R a t P h K H w 1 7 d s z 8 b u Y d i B R Q e I j i 0 6 X l V Y M o N f B Q J 9 w i S f o + Z V K 5 W y 2 y a y Q q N r 0 X X d t V x 3 3 d Z b m i 6 k G q c C G 5 J m f M q M Z U t d Z y q a 1 P 1 6 D i 2 K v X q O m z t r 4 7 N G h j Z u p H j Z x i 8 R H 7 X x E e J R G 4 8 Q H 7 b x Y S N z G x 8 j H r f x G P F p G 5 8 i v m j j i / 9 Y Y C V P 6 x u q F H d L M a 2 I 8 A n 8 M r v w s f i s S h 9 W u a 6 b D 3 F + R K c W v U D 0 A h V A N L L o D a I 3 + G a B 6 t b f M / V 8 Q O r 1 G m v Y K N p 1 t D T t O h p V 9 7 u O f e y M 5 q V 0 4 F p x 3 H a t j 9 q 4 K e p h G z f z 7 L W x O U 7 w I T 2 4 / 9 m 8 b L z a 3 R l 8 u / P 9 j 7 s b z / f r T + p H z l f O u r P l D J z v n O f O k T N 2 L h z P i Z y f n V + c X 3 u / 9 f 7 o / d n 7 q w p 9 + K D O + c L p X L 2 / / w G x J X q 7 < / l a t e x i t > time (second) 29.00 dB 0 500 10 -5 10 0 10 -5 10 0 0 500 Async-RED-SG(w=1120) < l a t e x i t s h a 1 _ b a s e 6 4 = " 9 Z Z / b P B w B F H p W j n c V O E Q W 4 J P q 7 g = " > A A A M T H i c j Z Z b b 9 s 2 F M f V b u v a u N v S D X v a w 4 i k A V I g y e z s 0 u a h Q B M 7 T Q I E g Z d L W 3 T u A k q m J C I S q Z B U b E f Q 4 z 7 N X r e v s f d 9 j 7 0 N A 3 Y o i Z S U u M M E 2 C J / 5 x x e / u d Q k p t E V K p u 9 8 8 7 d z / 4 8 K N 7 H 9 9 / s N B 5 + M m n n y 0 + + v y V 5 K n w y J n H I y 7 e u F i S i D J y p q i K y J t E E B y 7 E X n t X v S 1 / f U V E Z J y d q p m C X k X 4 4 B R n 3 p Y A T p f / H q k y F R J L 9 u W M + a t H + 8 O 1 k / 2 8 t X H k 8 f P e 7 3 N 7 p P z x e X u x t N v v 3 + 2 t Y W 6 G 9 3 i 0 o 3 e D 7 3 u M 9 S r y L J T X c P z R 5 0  v R 2 P u p T F h y o u w l D / 1 u o l 6 l 2 G h q B e R f G G U S p J g 7 w I H J H M 5 v 1 D Y l T k q r x W U C O 4 T q Z e L o / X L F E d U z R C 4 R E S 2 I n E s f c 5 U I 9 K N w O R y L M Y o x i p E c h a 7 P L o V p b E J g q g r L B h X I W V B y 5 F R j / g C e / X w H o / B q M y w y O c C 9 b 7 Z X E N E e R u t 2 J h 6 g m u t c x N r C A 8 E T s J Z W 4 I 4 f w D X C q I K N u s h G H z c c v C o I n n h E Q i e J g j 6 R e 7 a O y t G p t 4 0 1 4 4 + D V J x Q z C t i e K w 8 t I D V r + k q 4 e R y 8 u l t k Z R w A V V I S w 6 B 0 / b l f O 9 8 p s C a 1 Y s V 4 W E C 3 I j j r A 0 h g 3 F x S o U R y G + I i g i S h G B t I 2 I O Z u L 0 0 h R w S d 1 N i A y I E w 7 k 3 n V A S i N s A A 1 / p d 7 G O r j c 2 M n Y j a W Y c S K h Y 4 5 L H C M t J d E l C F c j t I K m B a H M V 9 Y W F l Z Q U P B u Q + T G A 3 U L C J Z E m H K c l 3 k u o G e V y l f Q 2 P i U 0 b 1 v g E K H m O 2 M G J k U g V n c C Y S L Q T n R Q u Q C p Y v / 6 x b L Q 2 M p U 5 W s t L A x Z B T M G k q 5 g n 5 V 3 6 k K R g t A a G P G / 4 4 e l 7 / P D U + k U 0 v u U E D O y Q H m h Q V f r N m 7 S c D 1 U O c 2 Y r J 6 o c Z J r c c g B m V 0 K Z f 8 s O z N o h + V N r 0 B 2 7 B R 7 U S + e B w d d E W A x t g 3 1 a j w J t g 8 f S t 3 g E h W j 4 g P W P j r B U W V a 8 H 7 K i n / 8 8 A p R X q f P g l C o M j + A y 4 l A r k R 2 e 1 8 M p y m a o 1 K I K a T 3 i i n S 5 M c w A f 9 j u 1 z X I t c g z y L O I G E Q s C g 0 K L Z I G S Y u m B t W 1 E B g U W D Q z a G b R t U H X F g m D h E W X B l 1 a x A y q q z Q 1 K L X o 0 K B D i 6 4 M u r J o Y t D E I h 6 T w M p Y 9 q w N D p 6 q b U U v b 9 Q J 1 x R + X c O 2 j e + 2 d R s Y N L D o w K C D e Y l F E 3 g r I K g T I u j U a l 6 W U i G 7 K S I j t D X N 2 q b r h u m 6 X X q 3 p g u x s l N B G 4 I m d E x 0 y 6 S 6 i p S Y V f V 6 C i V q a / X U b u 6 k i U 9 q G Z q 4 l u J l E 7 + 0 e L + J 9 y 0 + a u I j i / e a e K + W u Y k P L B 4 2 8 d D i 4 y Y + t v i s i c / + Y 4 G l P I 1 v q E L c V U m U R N x H 8 G Z 2 4 S v y S R n e L 2 N d N + v b + S 0 6 N m j X o l 2 r g E V H B r 2 1 6 K 1 9 s k B 2 q + + Z a j 4 g 1 X p 1 q 1 8 r 2 j Y 0 N G 0 b a l V 3 2 o Y d W x n 1 Q 2 n g G n H c Z q 7 3 m 7 h O 6 l 4 T 1 / N s N 7 E + T v A h b b 6 W 0 f s b r z Y 3 e t 9 t b P 2 4 u f x i p / q k v u 9 8 5 S w 5 q 0 7 P e e q 8 c P a d o X P m e M 4 v z q / O b 8 7 v n T 8 6 f 3 X + 7 v x T u t 6 9 U 8 V 8 4 b S u h / f + B V 4 Y g s 8 = < / l a t e x i t > Async-RED-SG(w=2240) < l a t e x i t s h a 1 _ b a s e 6 4 = " m B b g i r M L c P H q W F u T j 6 D z f p V i m 4 M = " > A A A M T H i c j Z b P T 9 x G F M e d t E 0 T N m 1 J q 5 5 6 6 A i C R C T Y 7 m 5 Q K I d I g V 0 C S A h R A k m U b I r G 3 r E 9 w v a Y m T G 7 x v K x f 0 2 v 7 b / R e / + P 3 q p K f W N 7 x j Z s q l r a 9 c z n v T c / v u + N b T s O q J C 9 3 p 9 3 7 n 7 y 6 W f 3 P r / / Y K H z 8 I s v v 1 p 8 9 P V r w R L u k D O H B Y y / t b E g A Y 3 I m a Q y I G 9 j T n B o B + S N f T F U 9 j d X h A v K o l O Z x u R D i L 2 I u t T B E t D 5 4 v d j S W Z S O N m 2 S C N n / W R 3 t P 5 q L 1 9 9 P H 3 8 f D D Y 6 D 0 5 X 1 z u d X 9 8 u v m s / w z 1 u h t b / c 2 t T W j 0 e 0 8 3 N g a o 3 + 0 V 1 7 J V X c f n j z r f j i f M S U I S S S f A Q r z v 9 2 L 5 I c N c U i c g + c I 4 E S T G z g X 2 S G Y z d i G x L X J U X i s o 5 s w l Q i 0 X B + u X C Q 6 o T B G 4 B E S 0 I n E o X B b J R q Q d g M l m m E 9 Q i K W P R B r a L L g V p b A O g q g r z C M m f R p 5 L c e I O s T l 2 K m H d 1 g I R q m H R S 7 j q P / D Y A 0 R 6 X R b s S F 1 O F N a 5 z p W E + Z x H P t p W 4 I w f w D X C q I S N u s g G H z S c n C o J H n h 4 X G W x A j 6 R e 7 a O y t G p s 4 s V 4 4 u 9 R J + Q z C l i W S w 8 t I D V r + k q i c i l 5 d L b Y 0 C j 3 E q f V h 0 D p 6 m K + Z 7 5 T c F V q x Y r v Q J 4 + R G H I m S E D Y U F q u Q D P n 4 i q C A S E k 4 U j b C 5 2 w u T A J J O Z v W 2 Y B I j 0 T K m c y r D k B J g D m o 8 b / c f V 8 d n x s 7 4 e l E + E F U L H T C Y I E T p L w E o h H C 5 S i t g F l x G P O F h Z W V F X T M G X N h E q 2 B T A O S x Q G m U a 6 K X D X Q 8 y r l a 2 h C X B p R t W + A n I U 4 W h h H Z F o F Z 3 A m Y i Y K e 5 4 d N z o t r 3 q Q P B v V 7 Z Z P d c + z 0 6 r R s g Y k D H G e H R a 3 l s V h n A U g a J p n Q 9 N s e c B B T 8 K 4 n H 2 7 b r d H g W 3 D 3 M P i V u r E Y p U U x k E q W L / 6 R d l 4 b a w r c 7 y W l w b M v Z C C S V U x i 8 u 7 c C F J 3 n g N D H n e 8 M O z j / j h m f E L a H j L C R j Y I T 3 Q o L L 0 m z d p O R + q H O b M V k 5 U O Y g k v u U A z K y E R u 4 t O z B j h + T P j E F 1 z B a Y V y + d e R p f E 2 4 w t D V 2 a T 0 K t D W e C N f g M R S i 5 q N o e H S E h c y y 4 v 2 Q F f 3 8 5 z G g v E q d A 6 d U Y n g E l x G H S o n s 8 L w e T t I o R a U W V U j r E V e k y w 5 h B v j D Z r + 2 R r Z B j k a O Q U Q j Y p C v k W + Q 0 E g Y N N O o r g V P I 8 + g V K P U o G u N r g 3 i G n G D L j W 6 N C j S q K 7 S R K P E o E O N D g 2 6 0 u j K o K l G U 4 N Y S D w j Y 9 k z N j h 4 s r Y V v b x R J 0 x R + P U 0 2 9 a + 2 8 Z t p N H I o A O N D u Y l F k 3 h r Y C g T g i n M 6 N 5 W U q F 7 L q I t N D G l L Z N 1 w 3 T d b v 0 b k 3 n Y 2 m m g j Y E T e m E q J Z O d R U p c F T V 6 y m U q K n V U 7 O 5 V 0 3 8 q p a h i W s p X j b x S 4 P 3 m 3 j f 4 K M m P j J 4 r 4 n 3 a p m b + M D g 4 y Y + N v i k i U 8 M P m v i s / 9 Y Y C l P 4 x u q E H d V E C k Q c x G 8 m W 3 4 i n x S h g / L W N v O h m Z + g 0 4 0 2 j V o 1 y h g 0 J F G 7 w x 6 Z 5 4 s k N 3 q e 6 a a D 0 i 1 X t U a 1 o q 2 D Q 1 N 2 4 Z a 1 Z 2 2 Y c d U R v 1 Q G t l a H L u Z 6 / 0 m r p O 6 1 8 T 1 P N t N r I 4 T f E j r r 2 X 0 8 c b r Q b e / 0 d 3 6 a b D 8 Y q f 6 p L 5 v f W c t W a t W 3 9 q 0 X l j 7 1 r F 1 Z j n W L 9 a v 1 m / W 7 5 0 / O n 9 1 / u 7 8 U 7 r e v V P F f G O 1 r o f 3 / g W x 8 Y L s < / l a t e x i t > Async-RED-SG(w=3360) < l a t e x i t s h a 1 _ b a s e 6 4 = " p c O 0 r c m V W p g Z 0 v 0 c 8 9 0 p u I s Q o h A = " > A A A M T H i c j Z b d b t x E F M f d A q X N F k h B X H H B K G m k V E q W 3 a R s y 0 W l J r t p E i m K Q j 7 a q m y J x t 6 x P Y r t c W b G 2 X U s X / I 0 3 M J r c M 9 7 c I e Q O G N 7 x n a y R V j a 9 c z v n D M f / 3 P G t h 0 H V M h e 7 8 8 7 d z / 6 + J N 7 n 9 5 / s N B 5 + N n n X y w + + v K 1 Y A l 3 y J n D A s b f 2 l i Q g E b k T F I Z k L c x J z i 0 A / L G v h g q + 5 s r w g V l 0 a l M Y / I + x F 5 E X e p g C e h 8 8 d u x J D M p n G x L p J G z f r w z W j / Z z V c f T x + / 2 N w c 9 J 6 c L y 7 3 u v 3 B Y H O w i X r d j e f P B 0 9 V 4 / v + Y K P 3 D P W 7 v e J a t q r r 6 P x R 5 + v x h D l J S C L p B F i I n / q 9 W L 7 P M J f U C U i + M E 4 E i b F z g T 2 S 2 Y x d S G y L H J X X C o o 5 c 4 l Q y 8 X B + m W C A y p T B C 4 B E a 1 I H A q X R b I R a Q d g s h n m E x R i 6 S O R h j Y L b k U p r I M g 6 g r z i E m f R l 7 L M a I O c T l 2 6 u E d F o J R 6 m G R y z j q f 7 e x h o h 0 u q 3 Y k D q c K a 1 z H a s J 8 z i O / b Q t Q Z g / g G s F U Q m b d R A M P m k 5 O F S S v P D w O E t i B P 0 i d + 2 d F S N T Z 5 Y r R 5 d 6 C b 8 h m N J E M l h 5 6 Q G r X 1 L V E 5 H L y 6 W 2 R o H H O J U + L D o H T 9 M V 8 7 3 y m w I r V i x X + o R x c i O O R E k I G w q L V U i G f H x F U E C k J B w p G + F z N h c m g a S c T e t s Q K R H I u V M 5 l U H o C T A H N T 4 X + 6 + r 4 7 P j Z 3 w d C L 8 I C o W O m G w w A l S X g L R C O F y l F b A r D i M + c L C y s o K O u K M u T C J 1 k C m A c n i A N M o V 0 W u G u h F l f I 1 N C E u j a j a N 0 D O Q h w t j C M y r Y I z O B M x E 4 U 9 z 4 4 a n Z Z X P U i e j e p 2 y 6 e 6 5 9 l p 1 W h Z A x K G O M 8 O i l v L 4 j D O A h A 0 z b O h a b Y 8 4 K A n Y V z O v l W 3 2 6 P A t m H u Y X E r d W K x S g r j I B W s X / 2 i b L w 2 1 p U 5 X s t L A + Z e S M G k q p j F 5 V 2 4 k C R v v A a G P G / 4 4 d k H / P D M + A U 0 v O U E D O y Q H m h Q W f r N m 7 S c D 1 U O c 2 Y r J 6 o c R B L f c g B m V k I j 9 5 Y d m L F D 8 m f G o D p m C 8 y r l 8 4 8 j a 8 J N x j a G r u 0 H g X a G k + E a / A Y C l H z U T Q 8 P M R C Z l n x f s i K f v 7 z G F B e p c 6 B U y o x P I L L i A O l R H Z w X g 8 n a Z S i U o s q p P W I K 9 J l h z A D / G G z X 1 s j 2 y B H I 8 c g o h E x y N f I N 0 h o J A y a a V T X g q e R Z 1 C q U W r Q t U b X B n G N u E G X G l 0 a F G l U V 2 m i U W L Q g U Y H B l 1 p d G X Q V K O p Q S w k n p G x 7 B k b H D x Z 2 4 p e 3 q g T p i j 8 e p p t a d 8 t 4 z b S a G T Q v k b 7 8 x K L p v B W Q F A n h N O Z 0 b w s p U J 2 X U R a a G N K 2 6 b r h u m 6 X X q 3 p v O x N F N B G 4 K m d E J U S 6 e 6 i h Q 4 q u r 1 F E r U 1 O q p 2 d x J E 5 / U M j R x L c W r J n 5 l 8 F 4 T 7 x l 8 2 M S H B u 8 2 8 W 4 t c x P v G 3 z U x E c G H z f x s c F n T X z 2 H w s s 5 W l 8 Q x X i r g o i B W I u g j e z D V + R T 8 r w Y R l r 2 9 n Q z G / Q s U Y 7 B u 0 Y B Q w 6 1 O i d Q e / M k w W y W 3 3 P V P M B q d a r W s N a 0 b a h o W n b U K u 6 3 T Z s m 8 q o H 0 o j W 4 t j N 3 O 9 1 8 R 1 U n e b u J 5 n q 4 n V c Y I P a f 2 1 j D 7 c e L 3 R 7 T / t / v D j x v L L 7 e q T + r 7 1 j b V k r V p 9 6 5 n 1 0 t q z j q w z y 7 F + s X 6 1 f r N + 7 / z R + a v z d + e f 0 v X u n S r m K 6 t 1 P b z 3 L 6 Y h g u s = < / l a t e x i t > kG(x k )k 2 /kG(x 0 )k 2 < l a t e x i t s h a 1 _ b a s e 6 4 = " E 7 4 w d y B u H n / O N f v G m u D 1 0 z G 1 I F M = " > A A A M U n i c j Z b d T t x G F M d N 0 o 8 E a E t a 9 a o 3 I 9 B K R K J k F 0 W q e l E p s C S A h N C W Q B K l D m j s H X t H 2 B 4 z M 2 Z 3 c f w E f Z r e t q / R m 7 5 K r 3 r G 9 h z b L K 1 q C X z 8 O + f M x / + c 8 d p L I 6 5 0 v / / X 0 o O H n 3 z 6 2 e e P H i + v r H 7 x 5 V d r T 7 5 + o 0 Q m f X b u i 0 j I d x 5 V L O I J O 9 d c R + x d K h m N v Y i 9 9 a 6 G x v / 2 h k n F R X K m 5 y n 7 E N M w 4 Q H 3 q Q Z 0 u d Z z P 7 o H K t h 0 Z 1 5 8 c f X U / X i x 8 6 y N + i W 6 X N v o b / f L i y w a g 9 r Y c O p r d P l k 5 V t 3 L P w s Z o n 2 I 6 r U L 4 N + q j / k V G r u R 6 x Y d j P F U u p f 0 Z D l n h B X m n q q I N X V I 6 k U A V N m 0 T T 6 / j q j E d d z A i E R U 5 1 M G q t A J L q V 6 U X g 8 g S V Y x J T P S F q H n s i W s g y 2 C Z B 1 g 2 V i d A T n o S d w I T 7 L J D U b 4 b 3 R Q x O b Y c l g Z B k 8 G x n i z D t b 3 d y Y + 5 L Y R Q v b K 4 l I p Q 0 n c y 7 E s T F Y 7 h 6 h G v Y r E 9 g 8 H E n w O e a F W V E K E W W E n g u K 9 j d W T k y 9 2 e F C Q x 4 m M k 7 g h l N t I C V V x G w + n X T Q w m 7 v l 7 v a h S F Q n I 9 g U U X E I m P 6 v 6 o 4 q 7 A h p X L 1 R M m J L u T x 5 I s h g 3 F 5 S q 0 I B N 6 w 0 j E t G a S G B + T 9 2 w u z i L N p Z g 2 1 Y D M k C U m m N 3 X H Y C y i E p Q 4 3 + F T y b m E N 3 Z i Z y P 1 S R K y o W O B S x w T E y U I j w h t B q l k z A r j 2 S x v N z r 9 c h I C h H A J F Y D P Y 9 Y n k a U J 4 V p c m O Q n + q S b 5 E x C 3 j C z b 4 B S h H T Z N l N 2 L R O z u F M p E K V / i I f t R 4 6 U c 0 g R b 7 f 2 J 2 Y + l 7 k Z 7 X R 8 U Y s j m m R H 5 e 3 j s c X U k Q g 6 L z I h 2 h 2 I u C g Z 3 F a z b 7 b 2 N 1 R Y N s w 9 7 C 8 V T q J 1 B R F S J A K 1 m / + k t z d c m 1 n u l t F 5 a A y j D m 4 T B e L t L q r A I o U u l v g K I p W H J 3 9 S x y d Y V z E 4 4 U g Y O C H 8 o D B d R V 3 3 6 T V f K Q O u G e 2 a q I 6 Q G X p Q g A w X A l P g g U / M P R D 8 W f o M A + 4 B R E 2 S x e h x b d M I g b b 4 o A 3 o 4 B t 8 V g F i F 1 o R M v 3 k + H J C V U 6 z 1 3 N Z j o v n 4 s L F 1 B R l 8 6 H U 6 o p v I K r j G O j R H 5 8 2 Q y n e T I n l R Z 1 S u c V V 5 b L i 2 E G + E d x v 5 5 F H i L f I h 8 R s 4 g h m l g 0 Q a Q s U o h m F j W 9 E F o U I p p b N E d 0 a 9 E t I m m R R H R t 0 T W i x K K m S z O L M k T H F h 0 j u r H o B t H U o i k i E b M Q Z a y e 0 A c H T z e + 8 q l o 9 Y k w F P 7 6 l u 3 a 2 F 0 M 2 7 d o H 9 G R R U f 3 F Z Z M 4 V e B Q J 8 w y W e o e d V K p e y 2 i a z Q 6 J p 3 X b c t 1 2 2 3 9 R a m m 1 C N U 4 E N S V M + Z s a y p a 4 z F U 3 q f j 2 D F s V e P c P N v W 7 j 1 4 0 M b d x I 8 a q N X y E + b O N D x C d t f I L 4 o I 0 P G p n b + A j x q I 1 H i E / b + B T x e R u f / 8 c C K 3 l a 3 1 C l u J u K a U V E Q O C X 2 Y N v y a d V + r D K 9 b x 8 i P M j O r X o J a K X q A C i E 4 v e I 3 q P b x a o b v 0 9 U 8 8 H p F 6 v s Y a N o l 1 H S 9 O u o 1 F 1 r + v Y w 8 5 o X k r 7 n h X H a 9 f 6 s I 2 b o h 6 0 c T P P b h u b 4 w Q f 0 o O 7 n 8 2 L x p u d 7 c H z 7 R 9 / f r 7 x Y q / + p H 7 k f O e s O 5 v O w P n B e e E c O i P n 3 P G d X 5 3 f n N + d P 1 b + X P l 7 d W n 1 Y R X 6 Y K n O + c b p X K u r / w B g k Y P v < / l a t e x i t > < l a t e x i t s h a 1 _ b a s e 6 4 = " 4 / x / m b C w l z i o e s 2 o f P 2 H 1 o m r h f Y = " > A A A M P X i c j Z b N b t w 2 E I C V p D + J t 2 2 c F D 3 1 Q t g x 4 A C u u 2 s U 6 C l A 7 H V i G z C M r W P X Q b q J Q W k p i b A k y i T l 3 b W g J + m 1 f Y 2 + R + 8 9 F r 3 2 2 q E k j q R d t 6 g A W 8 N v Z s j h z F B L N 4 2 4 0 v 3 + 7 / f u P / j o 4 0 8 + f f h o p f f Z 5 1 8 8 X n 3 y 9 E c l M u m x c 0 9 E Q r 5 1 q W I R T 9 i 5 5 j p i b 1 P J a O x G 7 M K 9 G h r 9 x Q 2 T i o v k T M 9 T 9 j 6 m Q c J 9 7 l E N 6 H L 1 M d d M l j L Z f H b 1 7 P n l 6 n p / u 1 8 + Z F k Y 1 M K 6 U z + j y y e 9 r 8 Y T 4 W U x S 7 Q X U a V + G v R T / T 6 n U n M v Y s X K O F M s p d 4 V D V j u C n G l q a s K U j 0 b J J X C Z 8 q E R 6 N v r j M a c T 0 n Y B I x 1 f G k s f J F o l u e b g Q q V 1 A 5 I T H V I V H z 2 B X R k p f B 1 g m 8 b q h M h A 5 5 E n Q M E + 4 x X 1 K v m d 4 T M S i 1 n Z b 4 Q p L B t z t b h G l v u + M b c 0 8 K k 9 v C + l o i A k n T c N 5 N Q V w 8 g m e D c A 2 b 9 Q h M P u k Y e F C R o r Q I p M h S A u O y P t 2 d l T N z b 1 Y Y Q 5 8 H m V x I m M m J F h B 5 Z Q H R r 5 l u S d j 1 9 V o 3 R 1 E g J N c h B F 2 A J Q 7 V 3 V b F Y o I N K 8 P V I R O S L f i x J I t h Q 3 E Z h R Y k p D e M R E x D 1 x G j q 5 t v I f Y s 0 l y K a V M N 8 A x Y Y o z Z X d 0 B K I u o h G z 8 L / M w N M d l Y S d y P l F h l J S B T g Q E O C H G S h G e E F r N 0 n G Y l Y e v W F n Z 2 N g g I y m E D 4 v Y H O h 5 x P I 0 o j w p T J M b g b y o S 7 5 F J s z n C S 8 P 3 Q s i R U y T l X H C p r V z D m c i F a r U F / m o N e h Y N Z M U + X 4 j d 2 z q d 5 G f 1 U J H G 7 E 4 p k V + X L 4 6 G k 9 I E U F C 5 0 U + R L F j A Q c 9 i 9 N q 9 d 1 G 7 s 4 C 2 4 a 1 h + W r y p N I T V G E h F R B / O Y v y c d b Y 9 u Z 4 6 2 i U l A Z x B x U p o t F W r 2 V D 0 U K x l u g K I q W H Z 3 9 i x 2 d o V 3 E 4 y U j Y K C H 8 o D A d W V 3 1 6 L V e q Q 2 u G O 1 a q H a Q G X p k g E w j I Q n / p I e G O q h + D N U m A F u Q Q R N 6 C K w + J Z J x C B b 7 P N m F p A t n i g f 8 R g a 0 f L 9 Z H h y Q p X O 8 7 F m M 5 2 X 4 + L D G F B R l 8 6 D U 6 o p f I I r j 2 O T i f z 4 s p l O 8 2 R O q l z U L p 1 P X F k u N 4 Y V 4 B / F / b o W u Y g 8 i z x E z C K G K L Q o R K Q s U o h m F j W 9 E F g U I J p b N E d 0 a 9 E t I m m R R H R t 0 T W i x K K m S z O L M k T H F h 0 j u r H o B t H U o i k i E b M A 0 1 i N U A c H T z e 6 c l S 0 + k Q Y C n 9 9 y 3 a t 7 S 6 a 7 V u 0 j + j I o q O 7 C k u m 8 K t A o E + Y 5 D P M e d V K Z d p t E 9 l E o 2 r e V d 2 2 V L f d 1 l t a L q Q a l w I Z n K Z 8 w o x k S 1 1 7 K p r U / X o G L Y q 9 e o a b e 9 P G b 5 o 0 t H G T i t d t / B r x Y R s f I j 5 p 4 x P E B 2 1 8 0 K S 5 j Y 8 Q j 9 p 4 h P i 0 j U 8 R n 7 f x + X 8 E W K W n d Y c q k 7 u p m F Z E + A R + m V 2 4 N T 6 v 3 I e V r + v m Q 1 w f 0 a l F r x C 9 w g w g O r H o H a J 3 + G W B 6 t b 3 m X o 9 I H W 8 R h o 2 G e 0 q W j n t K p q s 7 n U V e 9 g Z z U d p 3 7 X J c d u 1 P m z j p q g H b d y s s 9 v G 5 j j B R X q w e G 1 e F i 5 2 t g f f b Q 8 G P + y s v 9 y r 7 9  Q P n a + d N W f T G T j f O y + d Q 2 f k n D u e k z k / O 7 8 4 v / Z + 6 / 3 R + 7 P 3 V 2 V 6 / 1 7 t 8 6 X T e X p / / w O f J H 5 I < / l a t e x i t > iteration (k) 0 500 10 -8 10 0 0 500 10 -8 10 0 kG(x k )k 2 /kG(x 0 )k 2 < l a t e x i t s h a 1 _ b a s e 6 4 = " E 7 4 w d y B u H n / O N f v G m u D 1 0 z G 1 I F M = " > A A A M U n i c j Z b d T t x G F M d N 0 o 8 E a E t a 9 a o 3 I 9 B K R K J k F 0 W q e l E p s C S A h N C W Q B K l D m j s H X t H 2 B 4 z M 2 Z 3 c f w E f Z r e t q / R m 7 5 K r 3 r G 9 h z b L K 1 q C X z 8 O + f M x / + c 8 d p L I 6 5 0 v / / X 0 o O H n 3 z 6 2 e e P H i + v r H 7 x 5 V d r T 7 5 + o 0 Q m f X b u i 0 j I d x 5 V L O I J O 9 d c R + x d K h m N v Y i 9 9 a 6 G x v / 2 h k n F R X K m 5 y n 7 E N M w 4 Q H 3 q Q Z 0 u d Z z P 7 o H K t h 0 Z 1 5 8 c f X U / X i x 8 6 y N + i W 6 X N v o b / f L i y w a g 9 r Y c O p r d P l k 5 V t 3 L P w s Z o n 2 I 6 r U L 4 N + q j / k V G r u R 6 x Y d j P F U u p f 0 Z D l n h B X m n q q I N X V I 6 k U A V N m 0 T T 6 / j q j E d d z A i E R U 5 1 M G q t A J L q V 6 U X g 8 g S V Y x J T P S F q H n s i W s g y 2 C Z B 1 g 2 V i d A T n o S d w I T 7 L J D U b 4 b 3 R Q x O b Y c l g Z B k 8 G x n i z D t b 3 d y Y + 5 L Y R Q v b K 4 l I p Q 0 n c y 7 E s T F Y 7 h 6 h G v Y r E 9 g 8 H E n w O e a F W V E K E W W E n g u K 9 j d W T k y 9 2 e F C Q x 4 m M k 7 g h l N t I C V V x G w + n X T Q w m 7 v l 7 v a h S F Q n I 9 g U U X E I m P 6 v 6 o 4 q 7 A h p X L 1 R M m J L u T x 5 I s h g 3 F 5 S q 0 I B N 6 w 0 j E t G a S G B + T 9 2 w u z i L N p Z g 2 1 Y D M k C U m m N 3 X H Y C y i E p Q 4 3 + F T y b m E N 3 Z i Z y P 1 S R K y o W O B S x w T E y U I j w h t B q l k z A r j 2 S x v N z r 9 c h I C h H A J F Y D P Y 9 Y n k a U J 4 V p c m O Q n + q S b 5 E x C 3 j C z b 4 B S h H T Z N l N 2 L R O z u F M p E K V / i I f t R 4 6 U c 0 g R b 7 f 2 J 2 Y + l 7 k Z 7 X R 8 U Y s j m m R H 5 e 3 j s c X U k Q g 6 L z I h 2 h 2 I u C g Z 3 F a z b 7 b 2 N 1 R Y N s w 9 7 C 8 V T q J 1 B R F S J A K 1 m / + k t z d c m 1 n u l t F 5 a A y j D m 4 T B e L t L q r A I o U u l v g K I p W H J 3 9 S x y d Y V z E 4 4 U g Y O C H 8 o D B d R V 3 3 6 T V f K Q O u G e 2 a q I 6 Q G X p Q g A w X A l P g g U / M P R D 8 W f o M A + 4 B R E 2 S x e h x b d M I g b b 4 o A 3 o 4 B t 8 V g F i F 1 o R M v 3 k + H J C V U 6 z 1 3 N Z j o v n 4 s L F 1 B R l 8 6 H U 6 o p v I K r j G O j R H 5 8 2 Q y n e T I n l R Z 1 S u c V V 5 b L i 2 E G + E d x v 5 5 F H i L f I h 8 R s 4 g h m l g 0 Q a Q s U o h m F j W 9 E F o U I p p b N E d 0 a 9 E t I m m R R H R t 0 T W i x K K m S z O L M k T H F h 0 j u r H o B t H U o i k i E b M Q Z a y e 0 A c H T z e + 8 q l o 9 Y k w F P 7 6 l u 3 a 2 F 0 M 2 7 d o H 9 G R R U f 3 F Z Z M 4 V e B Q J 8 w y W e o e d V K p e y 2 i a z Q 6 J p 3 X b c t 1 2 2 3 9 R a m m 1 C N U 4 E N S V M + Z s a y p a 4 z F U 3 q f j 2 D F s V e P c P N v W 7 j 1 4 0 M b d x I 8 a q N X y E + b O N D x C d t f I L 4 o I 0 P G p n b + A j x q I 1 H i E / b + B T x e R u f / 8 c C K 3 l a 3 1 C l u J u K a U V E Q O C X 2 Y N v y a d V + r D K 9 b x 8 i P M j O r X o J a K X q A C i E 4 v e I P 2 H 1 o m r h f Y = " > A A A M P X i c j Z b N b t w 2 E I C V p D + J t 2 2 c F D 3 1 Q t g x 4 A C u u 2 s U 6 C l A 7 H V i G z C M r W P X Q b q J Q W k p i b A k y i T l 3 b W g J + m 1 f Y 2 + R + 8 9 F r 3 2 2 q E k j q R d t 6 g A W 8 N v Z s j h z F B L N 4 2 4 0 v 3 + 7 / f u P / j o 4 0 8 + f f h o p f f Z 5 1 8 8 X n 3 y 9 E c l M u m x c 0 9 E Q r 5 1 q W I R T 9 i 5 5 j p i b 1 P J a O x G 7 M K 9 G h r 9 x Q 2 T i o v k T M 9 T 9 j 6 m Q c J 9 7 l E N 6 H L 1 M d d M l j L Z f H b 1 7 P n l 6 n p / u 1 8 + Z F k Y 1 M K 6 U z + j y y e 9 r 8 Y T 4 W U x S 7 Q X U a V + G v R T / T 6 n U n M v Y s X K O F M s p d 4 V D V j u C n G l q a s K U j 0 b J J X C Z 8 q E R 6 N v r j M a c T 0 n Y B I x 1 f G k s f J F o l u e b g Q q V 1 A 5 I T H V I V H z 2 B X R k p f B 1 g m 8 b q h M h A 5 5 E n Q M E + 4 x X 1 K v m d 4 T M S i 1 n Z b 4 Q p L B t z t b h G l v u + M b c 0 8 K k 9 v C + l o i A k n T c N 5 N Q V w 8 g m e D c A 2 b 9 Q h M P u k Y e F C R o r Q I p M h S A u O y P t 2 d l T N z b 1 Y Y Q 5 8 H m V x I m M m J F h B 5 Z Q H R r 5 l u S d j 1 9 V o 3 R 1 E g J N c h B F 2 A J Q 7 V 3 V b F Y o I N K 8 P V I R O S L f i x J I t h Q 3 E Z h R Y k p D e M R E x D 1 x G j q 5 t v I f Y s 0 l y K a V M N 8 A x Y Y o z Z X d 0 B K I u o h G z 8 L / M w N M d l Y S d y P l F h l J S B T g Q E O C H G S h G e E F r N 0 n G Y l Y e v W F n Z 2 N g g I y m E D 4 v Y H O h 5 x P I 0 o j w p T J M b g b y o S 7 5 F J s z n C S 8 P 3 Q s i R U y T l X H C p r V z D m c i F a r U F / m o N e h Y N Z M U + X 4 j d 2 z q d 5 G f 1 U J H G 7 E 4 p k V + X L 4 6 G k 9 I E U F C 5 0 U + R L F j A Q c 9 i 9 N q 9 d 1 G 7 s 4 C 2 4 a 1 h + W r y p N I T V G E h F R B / O Y v y c d b Y 9 u Z 4 6 2 i U l A Z x B x U p o t F W r 2 V D 0 U K x l u g K I q W H Z 3 9 i x 2 d o V 3 E 4 y U j Y K C H 8 o D A d W V 3 1 6 L V e q Q 2 u G O 1 a q H a Q G X p k g E w j I Q n / p I e G O q h + D N U m A F u Q Q R N 6 C K w + J Z J x C B b 7 P N m F p A t n i g f 8 R g a 0 f L 9 Z H h y Q p X O 8 7 F m M 5 2 X 4 + L D G F B R l 8 6 D U 6 o p f I I r j 2 O T i f z 4 s p l O 8 2 R O q l z U L p 1 P X F k u N 4 Y V 4 B / F / b o W u Y g 8 i z x E z C K G K L Q o R K Q s U o h m F j W 9 E F g U I J p b N E d 0 a 9 E t I m m R R H R t 0 T W i x K K m S z O L M k T H F h 0 j u r H o B t H U o i k i E b M A 0 1 i N U A c H T z e 6 c l S 0 + k Q Y C n 9 9 y 3 a t 7 S 6 a 7 V u 0 j + j I o q O 7 C k u m 8 K t A o E + Y 5 D P M e d V K Z d p t E 9 l E o 2 r e V d 2 2 V L f d 1 l t a L q Q a l w I Z n K Z 8 w o x k S 1 1 7 K p r U / X o G L Y q 9 e o a b e 9 P G b 5 o 0 t H G T i t d t / B r x Y R s f I j 5 p 4 x P E B 2 1 8 0 K S 5 j Y 8 Q j 9 p 4 h P i 0 j U 8 R n 7 f x + X 8 E W K W n d Y c q k 7 u p m F Z E + A R + m V 2 4 N T 6 v 3 I e V r + v m Q 1 w f 0 a l F r x C 9 w g w g O r H o H a J 3 + G W B 6 t b 3 m X o 9 I H W 8 R h o 2 G e 0 q W j n t K p q s 7 n U V e 9 g Z z U d p 3 7 X J c d u 1 P m z j p q g H b d y s s 9 v G 5 j j B R X q w e G 1 e F i 5 2 t g f f b Q 8 G P + y s v 9 y r 7 9 Q P n a + d N W f T G T j f O y + d Q 2 f k n D u e k z k / O 7 8 4 v / Z + 6 / 3 R + 7 P 3 V 2 V 6 / 1 7 t 8 6 X T e X p / / w O f J H 5 I < / l a t e x i t > iteration (k) < l a t e x i t s h a 1 _ b a s e 6 4 = " S S V Y H V / Q R y a w K N H R l M 0 P Y d 6 H 7 / 4 = " > A A A M T H i c j Z b d b t x E F M f d A q X N F k h B X C G h U d J I q Z S E 3 a W i c F G p y W 6 a R I q i J U 1 I 1 W 6 J x t 6 x P Y o 9 4 8 y M s 7 u x f M f T c A u v w Q P w H F w i J M 7 Y n r G d b B G W d j 3 z O + f M x / + c s e 0 m E Z W q 2 / 3 z z t 0 P P v z o 3 s f 3 H y x 1 H n 7 y 6 W f L j z 7 / S f J U e O T U 4 x E X r 1 0 s S U Q Z O V V U R e R 1 I g i O 3 Y i c u R c D b T + 7 I k J S z k 7 U P C H v Y h w w 6 l M P K 0 D n y 1 + P F Z k p 6 W X b c s 6 8 z e P d 4 e b O X r 7 + m J 1 7 z / u P n 5 w v r 3 a 3 n v a 7 v W f f o + 5 W t 7 i Q J t / 1 v / 0 B 9 S q y 6 l T X 6 P x R 5 8 v x h H t p T J j y I i z l 2 1 4 3 U e 8 y L B T 1 I p I v j V N J E u x d 4 I B k L u c X C r s y R + W 1 h h L B f S L 1 a n G 0 e Z n i i K o 5 A p e I y F Y k j q X P m W p E u h G Y X I 7 F B M V Y h U j O Y 5 d H t 6 I 0 N k E Q d Y U F 4 y q k L G g 5 M u o R X 2 C v H t 7 j M R i V G R b 5 X K D e N / 0 N R J S 3 1 Y q N q S e 4 l j o 3 s Y b w Q O A k n L c l i P M H c K 0 h q m C z H o L B J y 0 H j y q S F x 6 B 4 G m C o F + k r r 2 z Y m T q z X L t 6 N M g F T c E 0 5 o o D i s v P W D 1 K 7 p 4 G L m 8 X G l r F A V c U B X C o n P w t F 2 5 2 C u / K b B m x X J V S L g g N + I I S 2 P Y U F y s Q n E U 4 i u C I q I U E U j b i F i w u T i N F B V 8 W m c D I g P C t D N Z V B 2 A 0 g g L U O N / u Y e h P j 0 3 d i L m E x l G r F j o h M M C J 0 h 7 S U Q Z w u U o r Y B Z c R b z p a W 1 t T U 0 E p z 7 M I n R Q M 0 j k i U R p i z X R a 4 b 6 H m V 8 g 0 0 I T 5 l V O 8 b o O A x Z k t j R q Z V c A Z n I u G y s O f Z q N F p e d W D 5 N m w b r d 8 q n u e n V S N l j U i c Y z z 7 L C 4 t S w e F z w C Q e d 5 N r D N l g c c 9 D R O y t m 3 6 3 Z 7 F N g 2 z D 0 o b q V O P N F J 4 Q K k g v X r H 8 v G G 2 N T m e O N v D R g E c Q U T L q K e V L e p Q 9 J C s Y b Y M j z h h + e v c c P z 6 x f R O N b T s D A D u m B B l W l 3 6 J J y / l Q 5 b B g t n K i y k G m y S 0 H Y H Y l l P m 3 7 M C s H Z I / s w b d s V v g Q b 1 0 H h h 8 T Y T F 0 D b Y p / U o 0 D Z 4 I n 2 L x 1 C I h g / Z 4 O g I S 5 V l x e s h K / r 5 z 2 N A e Z U 6 D 0 6 p w v A I L i M O t R L Z 4 X k 9 n K J s j k o t q p D W I 6 5 I l x v D D P C H 7 X 5 d g 1 y L P I M 8 i 4 h B x K L Q o N A i a Z C 0 a G Z Q X Q u B Q Y F F c 4 P m F l 0 b d G 2 R M E h Y d G n Q p U X M o L p K U 4 N S i w 4 N O r T o y q A r i 6 Y G T S 3 i M Q m s j G X P 2 u D g q d p W 9 P J G n X B N 4 d c 1 b N v 4 b l u 3 o U F D i w 4 M O l i U W D S F t w K C O i G C z q z m Z S k V s p s i M k J b 0 7 x t u m 6 Y r t u l d 2 u 6 E C s 7 F b Q h a E o n R L d M q q t I i V l V r y d Q o r Z W T + z m X j X x q 1 q G J q 6 l e N n E L y 3 e b + J 9 i 4 + a + M j i v S b e q 2 V u 4 g O L R 0 0 8 s v i 4 i Y 8 t P m 3 i 0 / 9 Y Y C l P 4 x u q E H d d E i U R 9 x G 8 m V 3 4 i H x S h g / K W N f N B n Z + i 4 4 N 2 r V o 1 y p g 0 Z F B b y x 6 Y 5 8 s k N 3 q e 6 a a D 0 i 1 X t 0 a 1 I q 2 D Q 1 N 2 4 Z a 1 Z 2 2 Y c d W R v 1 Q G r p G H L e Z 6 / 0 m r p O 6 1 8 T 1 P N t N r I 8 T f E i b r 2 X 0 / s Z Z f 6 v 3 d K v X + 7 G / + m K n + q a + 7 3 z l r D j r T s 9 5 5 r x w 9 p 2 R c + p 4 z i / O r 8 5 v z u + d P z p / d f 7 u / F O 6 3 r 1 T x X z h t K 6 H 9 / 4 F R Q m C / w = = < / l a t e x i t > Async-RED-BG(nc = 2) < l a t e x i t s h a 1 _ b a s e 6 4 = " W R 0 e n B z k q r s 5 b X U o r + / F + I o b K / k = " > A A A M T H i c j Z b d b t s 2 F M f V b u v a u N v S D b s a M B B J A 7 R A 4 t l p l v a m Q B M 7 T Q I E g Z c m S 9 G 5 C y i Z k o h I p E J S s R 1 B d 3 u a 3 W 6 v s Q f Y c + x y G L B D S a S k J B 0 m w B b 5 O + f w 4 3 8 O J b l J R K X q 9 f 6 8 c / e j j z + 5 9 + n 9 B w u d h 5 9 9 / s X i o y 9 / l D w V H j n x e M T F W x d L E l F G T h R V E X m b C I J j N y K n 7 v l A 2 0 8 v i Z C U s 2 M 1 T 8 j 7 G A e M + t T D C t D Z 4 r d j R W Z K e t m W n D N v 7 W h n u L a 9 m z 9 5 z M 6 8 l x u P n 5 4 t L v e 6 / c 3 N Z 5 v P U K + 7 / u L F 5 o Z u f N / f X O 8 9 R / 1 u r 7 i W n e o a n T 3 q f D 2 e c C + N C V N e h K X 8 q d 9 L 1 P s M C 0 W 9 i O Q L 4 1 S S B H v n O C C Z y / m 5 w q 7 M U X m t o E R w n 0 i 9 W h y t X a Q 4 o m q O w C U i s h W J Y + l z p h q R b g Q m l 2 M x Q T F W I Z L z 2 O X R j S i N T R B E X W L B u A o p C 1 q O j H r E F 9 i r h / d 4 D E Z l h k U + F 6 j / 3 f o q I s r r t m J j 6 g m u p c 5 N r C E 8 E D g J 5 2 0 J 4 v w B X C u I K t i s h 2 D w S c v B o 4 r k h U c g e J o g 6 B e p a + + s G J l 6 s 1 w 7 + j R I x T X B t C a K w 8 p L D 1 j 9 k i 4 e R i 4 u l t o a R Q E X V I W w 6 B w 8 b V f e 7 p V f F 1 i z Y r k q J F y Q a 3 G E p T F s K C 5 W o T g K 8 S V B E V G K C K R t R N y y u T i N F B V 8 W m c D I g P C t D O 5 r T o A p R E W o M b / c g 9 D f X q u 7 U T M J z K M W L H Q C Y c F T p D 2 k o g y h M t R W g G z 4 i z m C w s r K y t o J D j 3 Y R K j g Z p H J E s i T F m u i 1 w 3 0 M s q 5 a t o Q n z K q N 4 3 Q M F j z B b G j E y r 4 A z O R M J l Y c + z U a P T 8 q o H y b N h 3 W 7 5 V P c 8 O 6 4 a L W t E 4 h j n 2 U F x a 1 k 8 L n g E g s 7 z b G C b L Q 8 4 6 G m c l L N v 1 e 3 2 K L B t m H t Q 3 E q d e K K T w g V I B e v X P 5 a N V 8 e m M s e r e W n A I o g p m H Q V 8 6 S 8 S x + S F I x X w Z D n D T 8 8 + 4 A f n l m / i M Y 3 n I C B H d I D D a p K v 9 s m L e d D l c M t s 5 U T V Q 4 y T W 4 4 A L M r o c y / Y Q d m 7 Z D 8 m T X o j t 0 C D + q l 8 8 D g K y I s h r b B P q 1 H g b b B E + l b P I Z C N H z I B o e H W K o s K 1 4 P W d H P f x 4 D y q v U e X B K F Y Z H c B l x o J X I D s 7 q 4 R R l c 1 R q U Y W 0 H n F F u t w Y Z o A / b P f r G u R a 5 B n k W U Q M I h a F B o U W S Y O k R T O D 6 l o I D A o s m h s 0 t + j K o C u L h E H C o g u D L i x i B t V V m h q U W n R g 0 I F F l w Z d W j Q 1 a G o R j 0 l g Z S x 7 1 g Y H T 9 W 2 o p c 3 6 o R r C r + e Y V v G d 8 u 6 D Q 0 a W r R v 0 P 5 t i U V T e C s g q B M i 6 M x q X p Z S I b s p I i O 0 N c 3 b p q u G 6 a p d e j e m C 7 G y U 0 E b g q Z 0 Q n T L p L q K l J h V 9 X o M J W p r 9 d h u 7 k 0 T v 6 l l a O J a i t d N / N r i v S b e s / i w i Q 8 t 3 m 3 i 3 V r m J t 6 3 e N T E I 4 u P m v j I 4 p M m P v m P B Z b y N L 6 h C n G f S K I k 4 j 6 C N 7 M L H 5 F P y / B B G e u 6 2 c D O b 9 G R Q T s W 7 V g F L D o 0 6 J 1 F 7 + y T B b J b f c 9 U 8 w G p 1 q t b g 1 r R t q G h a d t Q q 7 r d N m z b y q g f S k P X i O M 2 c 7 3 X x H V S d 5 u 4 n m e r i f V x g g 9 p 8 7 W M P t w 4 X e / 2 N 7 r 9 / g / r y 6 + 2 q 2 / q + 8 4 3 z p L z x O k 7 z 5 1 X z p 4 z c k 4 c z / n F + d X 5 z f m 9 8 0 f n r 8 7 f n X 9 K 1 7 t 3 q p i v n N b 1 8 N 6 / s N 2 D H g = = < / l a t e x i t > Async-RED-BG(nc = 4) < l a t e x i t s h a 1 _ b a s e 6 4 = " f x h c r 0 N p 6 b j q B w F u r o 2 A T a 6 F A h g = " > A A A M T H i c j Z b d T t x G F M e d t E 0 T N m 1 J q 1 5 V q k Y Q J C L B d p c g a C 4 i B X Y J I C G 0 J V C i d F M 0 9 o 7 t E f a M m R m z a y z f 9 W l 6 2 7 5 G H 6 D P 0 c u q U o 8 / Z m z D p q q l X c / 8 z j n z 8 T 9 n b N t R Q K X q 9 f 6 8 d / + j j z 9 5 8 O n D R w u d x 5 9 9 / s X i k y 9 / l D w W D j l z e M D F W x t L E l B G z h R V A X k b C Y J D O y D n 9 u U g t 5 9 f E y E p Z 6 c q i c j 7 E H u M u t T B C t D F 4 r d j R W Z K O u m O T J i z f r I 3 X N / d z 1 a f s g v n 5 d b T Z x e L y 7 3 u 9 8 + 3 t / p b q N f d f N H f f r E N j X 7 v + e b m B u p 3 e 8 W 1 b F X X 6 O J J 5 + v x h D t x S J h y A i z l T / 1 e p N 6 n W C j q B C R b G M e S R N i 5 x B 5 J b c 4 v F b Z l h s p r B U W C u 0 T m q 8 X B + l W M A 6 o S B C 4 B k a 1 I H E q X M 9 W I t A M w 2 R y L C Q q x 8 p F M Q p s H d 6 J y r I M g 6 h o L x p V P m d d y Z N Q h r s B O P b z D Q z A q P S x y u U D 9 7 z b W E F F O t x U b U k f w X O p M x 2 r C P Y E j P 2 l L E G a P 4 F p B V M F m H Q S D T 1 o O D l U k K z w 8 w e M I Q b 9 I X X t n x c j U m W W 5 o 0 u 9 W N w S L N d E c V h 5 6 Q G r X 8 q L h 5 G r q 6 W 2 R o H H B V U + L D o D T 9 O V 8 7 2 y 2 w L n r F i u 8 g k X 5 F Y c Y X E I G w q L V S i O f H x N U E C U I g L l N i L m b C 6 M A 0 U F n 9 b Z g E i P s N y Z z K s O Q H G A B a j x v 9 x 9 P z 8 9 t 3 Y i k o n 0 A 1 Y s d M J h g R O U e 0 l E G c L l K K 2 A W X E W s 4 W F l Z U V N B K c u z C J 1 k A l A U m j A F O W 5 U W e N 9 D L K u V r a E J c y m i + b 4 C C h 5 g t j B m Z V s E p n I m I y 8 K e p a N G p + V V D 5 K l w 7 r d 8 q n u W X p a N V r W g I Q h z t K j 4 t a y O F z w A A R N s n R g m i 0 P O O h x G J W z 7 9 T t 9 i i w b Z h 7 U N x K n X i U J 4 U L k A r W n / 9 Y O l 4 b 6 8 o c r 2 W l A Q s v p G D K q 5 h H 5 V 2 6 k C R v v A a G L G v 4 4 d k H / P D M + A U 0 v O M E D O y Q H m h Q V f r N m 7 S c D 1 U O c 2 Y r J 6 o c Z B z d c Q B m V k K Z e 8 c O z N g h + T N j y D t m C 9 y r l 8 4 9 j W + I M B j a G r u 0 H g X a G k + k a / A Y C l H z I R s c H 2 O p 0 r R 4 P a R F P / t 5 D C i r U u f A K V U Y H s F l x F G u R H p 0 U Q + n K E t Q q U U V 0 n r E F e m y Q 5 g B / r D Z r 6 2 R b Z C j k W M Q 0 Y g Y 5 G v k G y Q 1 k g b N N K p r w d P I M y j R K D H o R q M b g 4 R G w q A r j a 4 M Y h r V V R p r F B t 0 p N G R Q d c a X R s 0 1 W h q E A + J Z 2 Q s e 8 Y G B 0 / V t q K X N e q E 5 x R + P c 1 2 t O + O c R t q N D T o U K P D e Y l F U 3 g r I K g T I u j M a F 6 W U i G 7 L i I t t D E l b d N N w 3 T T L r 0 7 0 / l Y m a m g D U F T O i F 5 S 6 e 6 i p S Y V f V 6 C i V q a v X U b O 5 N E 7 + p Z W j i W o r X T f z a 4 I M m P j D 4 u I m P D d 5 v 4 v 1 a 5 i Y + N H j U x C O D T 5 r 4 x O C z J j 7 7 j w W W 8 j S + o Q p x V y V R E n E X w Z v Z h o / I Z 2 X 4 o I y 1 7 X R g 5 j f o R K M 9 g / a M A g Y d a / T O o H f m y Q L Z r b 5 n q v m A V O v N W 4 N a 0 b a h o W n b U K u 6 2 z b s m s q o H 0 p D W 4 t j N 3 N 9 0 M R 1 U v e b u J 5 n p 4 n z 4 w Q f 0 v p r G X 2 4 c b 7 R 7 W 9 2 + / 0 f N p Z f 7 V b f 1 A + t b 6 w l a 9 X q W 9 v W K + v A G l l n l m P 9 Y v 1 q / W b 9 3 v m j 8 1 f n 7 8 4 / p e v 9 e 1 X M V 1 b r e v z g X w O C g y U = < / l a t e x i t > Async-RED-BG(nc = 6) < l a t e x i t s h a 1 _ b a s e 6 4 = " t + i a V n L l d G 1 3 a x t Q u h T J 2 2 J 9 c f w = " > A A A M T H i c j Z b d b t s 2 F M f V b u v a u N v S D b s a M B B J A 6 R A k t n Z R 9 O L A k 3 s N A k Q B F 6 a N E X n L q B k S i I i k Q p J x X Y E 3 e 1 p d r u 9 x h 5 g z 7 H L Y c A O J Z G S E n e Y A F v k 7 5 z D j / 8 5 l O Q m E Z W q 2 / 3 z z t 0 P P v z o 3 s f 3 H y x 0 H n 7 y 6 W e L j z 5 / L X k q P H L q 8 Y i L N y 6 W J K K M n C q q I v I m E Q T H b k T O 3 I u + t p 9 d E S E p Z y d q l p B 3 M Q 4 Y 9 a m H F a D z x a 9 H i k y V 9 L J t O W P e + v H u Y H 1 n L 1 9 9 z M 6 9 5 1 u P n 5 w v L n c 3 n n 7 7 / d a z Z 6 i 7 0 S 0 u 3 e j 9 0 O t u o V 5 F l p 3 q G p 4 / 6 n w 5 G n M v j Q l T X o S l / K n X T d S 7 D A t F v Y j k C 6 N U k g R 7 F z g g m c v 5 h c K u z F F 5 r a B E c J 9 I v V o c r V + m O K J q h s A l I r I V i W P p c 6 Y a k W 4 E J p d j M U Y x V i G S s 9 j l 0 a 0 o j U 0 Q R F 1 h w b g K K Q t a j o x 6 x B f Y q 4 f 3 e A x G Z Y Z F P h e o 9 8 3 m G i L K 2 2 j F x t Q T X E u d m 1 h D e C B w E s 7 a E s T 5 A 7 h W E F W w W Q / B 4 O O W g 0 c V y Q u P Q P A 0 Q d A v U t f e W T E y 9 a a 5 d v R p k I o b g m l N F I e V l x 6 w + i V d P I x c X i 6 1 N Y o C L q g K Y d E 5 e N q u n O + V 3 x R Y s 2 K 5 K i R c k B t x h K U x b C g u V q E 4 C v E V Q R F R i g i k b U T M 2 V y c R o o K P q m z A Z E B Y d q Z z K s O Q G m E B a j x v 9 z D U J + e G z s R s 7 E M I 1 Y s d M x h g W O k v S S i D O F y l F b A t D i L + c L C y s o K G g r O f Z j E a K B m E c m S C F O W 6 y L X D f S 8 S v k a G h O f M q r 3 D V D w G L O F E S O T K j i D M 5 F w W d j z b N j o t L z q Q f J s U L d b P t U 9 z 0 6 q R s s a k T j G e X Z Y 3 F o W j w s e g a C z P O v b Z s s D D n o a J + X s 2 3 W 7 P Q p s G + b u F 7 d S J 5 7 o p H A B U s H 6 9 Y 9 l o 7 W R q c z R W l 4 a s A h i C i Z d x T w p 7 9 K H J A W j N T D k e c M P T 9 / j h 6 f W L 6 L x L S d g Y I f 0 Q I O q 0 m / e p O V 8 q H K Y M 1 s 5 U e U g 0 + S W A z C 7 E s r 8 W 3 Z g 1 g 7 J n 1 q D 7 t g t 8 K B e O g 8 M v i b C Y m g b 7 N N 6 F G g b P J a + x S M o R M M H r H 9 0 h K X K s u L 1 k B X 9 / O c R o L x K n Q e n V G F 4 B J c R h 1 q J 7 P C 8 H k 5 R N k O l F l V I 6 x F X p M u N Y Q b 4 w 3 a / r k G u R Z 5 B n k X E I G J R a F B o k T R I W j Q 1 q K 6 F w K D A o p l B M 4 u u D b q 2 S B g k L L o 0 6 N I i Z l B d p a l B q U W H B h 1 a d G X Q l U U T g y Y W 8 Z g E V s a y Z 2 1 w 8 F R t K 3 p 5 o 0 6 4 p v D r G r Z t f L e t 2 8 C g g U U H B h 3 M S y y a w F s B Q Z 0 Q Q a d W 8 7 K U C t l N E R m h r W n W N l 0 3 T N f t 0 r s 1 X Y i V n Q r a E D S h Y 6 J b J t V V p M S s q t c T K F F b q y d 2 c 6 + a + F U t Q x P X U r x s 4 p c W 7 z f x v s V H T X x k 8 V 4 T 7 9 U y N / G B x c M m H l p 8 3 M T H F p 8 2 8 e l / L L C U p / E N V Y i 7 K o m S i P s I 3 s w u f E Q + K c P 7 Z a z r Z n 0 7 v 0 X H B u 1 a t G s V s O j I o L c W v b V P F s h u 9 T 1 T z Q e k W q 9 u 9 W t F 2 4 a G p m 1 D r e p O 2 7 B j K 6 N + K A 1 c I 4 7 b z P V + E 9 d J 3 W v i e p 7 t J t b H C T 6 k z d c y e n / j b H O j 9 9 1 G r / f j 5 v K L n e q b + r 7 z l b P k r D o 9 5 6 n z w t l 3 h s 6 p 4 z m / O L 8 6 v z m / d / 7 o / N X 5 u / N P 6 X r 3 T h X z h d O 6 H t 7 7 F / Z C g w 4 = < / l a t e x i t > Async-RED-BG(nc = 8) < l a t e x i t s h a 1 _ b a s e 6 4 = " v A o + h M I t N T Z e r a 2 j 5 M b R B r L e x o k = " > A A A M R n i c j Z b d b t s 2 F M f V 7 q u N u y 3 d M G D A b o i k A V o g 9 e w s X b a L A k 3 s N A k Q B F 6 a L E X n L q B k S i I i k Q p J x X Y E 7 W l 2 u 7 3 G n m E P s c t h t z u U R E p K 3 G E C b J G / c w 4 / / u d Q k p t E V K p e 7 8 8 7 d 9 9 7 / 4 M P P 7 p 3 f 6 n z 4 O N P P l 1 + + N m P k q f C I 6 c e j 7 h 4 7 W J J I s r I q a I q I q 8 T Q X D s R u T M v R h o + 9 k V E Z J y d q L m C X k b 4 4 B R n 3 p Y A T p f / n K s y E x J L 9 s Z P D 3 e H e a P H 7 F z 7 3 n / 0 Z P z 5 d V e 9 / v + V n 9 r A / W 6 m 9 / 2 v v l u E x r P N r c 2 n m 2 i f r d X X K t O d Y 3 O H 3 a + G E + 4 l 8 a E K S / C U v 7 U 7 y X q b Y a F o l 5 E 8 q V x K k m C v Q s c k M z l / E J h V + a o v N Z Q I r h P p F 4 n j p 5 e p j i i a o 7 A J S K y F Y l j 6 X O m G p F u B C a X Y z F B M V Y h k v P Y 5 d G t K I 1 N E E R d Y c G 4 C i k L W o 6 M e s Q X 2 K u H 9 3 g M R m W G R T 4 X q P / 1 x j o i y u u 2 Y m P q C a 5 F z k 2 s I T w Q O A n n b Q n i / D 5 c a 4 g q 2 K y H Y P B J y 8 G j i u S F R y B 4 m i D o F 0 l r 7 6 w Y m X q z X D v 6 N E j F D c G 0 J o r D y k s P W P 2 K L h t G L i 9 X 2 h p F A R d U h b D o H D x t V y 7 2 y m 8 K r F m x X B U S L s 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L P I M 8 i Y h C x K D Q o t E g a J C 2 a G V T X Q m B Q Y N H c o L l F 1 w Z d W y Q M E h Z d G n R p E T O o r t L U o N S i Q 4 M O L b o y 6 M q i q U F T i 3 h M A i t j 2 b M 2 O H i q t h W 9 v F E n X F P 4 9 Q z b N r 7 b 1 m 1 o 0 N C i A 4 M O F i U W T e G t g K B O i K A z q 3 l Z S o X s p o i M 0 N Y 0 b 5 u u G 6 b r d u n d m i 7 E y k 4 F b Q i a 0 g n R L Z P q K l J i V t X r C Z S o r d U T u 7 l X T f y q l q G J a y l e N v F L i / e b e N / i o y Y + s n i v i f d q m Z v 4 w O J R E 4 8 s P m 7 i Y 4 t P m / j 0 P x Z Y y t P 4 h i r E f S y J k o j 7 C N 7 M L n w + P i n D B 2 W s 6 2 Y D O 7 9 F x w b t W r R r F b D o y K A 3 F r 2 x T x b I b v U 9 U 8 0 H p F q v b g 1 q R d u G h q Z t Q 6 3 q T t u w Y y u j f i g N X S O O 2 8 z 1 f h P X S d 1 r 4 n q e 7 S b W x w k + p M 3 X M n p 3 4 2 y j 2 9 / s 9 v s / b K y + 2 K m + q e 8 5 X z k r z m O n 7 2 w 5 L 5 x 9 Z + S c O p 7 z i / O r 8 5 v z e + e P z l + d v z v / l K 5 3 7 1 Q x n z u t 6 4 H z L 4 z l g L I = < / l a t e x i t > BC-RED(nc = 1) 0 8000 10 -8 10 0 10 -8 10 0 0 8000 time (second) kG(x k )k 2 /kG(x 0 )k 2 < l a t e x i t s h a 1 _ b a s e 6 4 = " E 7 4 w d y B u H n / O N f v G m u D 1 0 z G 1 I F M = " > A A A M U n i c j Z b d T t x G F M d N 0 o 8 E a E t a 9 a o 3 I 9 B K R K J k F 0 W q e l E p s C S A h N C W Q B K l D m j s H X t H 2 B 4 z M 2 Z 3 c f w E f Z r e t q / R m 7 5 K r 3 r G 9 h z b L K 1 q C X z 8 O + f M x / + c 8 d p L I 6 5 0 v / / X 0 o O H n 3 z 6 2 e e P H i + v r H 7 x 5 V d r T 7 5 + o 0 Q m f X b u i 0 j I d x 5 V L O I J O 9 d c R + x d K h m N v Y i 9 9 a 6 G x v / 2 h k n F R X K m 5 y n 7 E N M w 4 Q H 3 q Q Z 0 u d Z z P 7 o H K t h 0 Z 1 5 8 c f X U / X i x 8 6 y N + i W 6 X N v o b / f L i y w a g 9 r Y c O p r d P l k 5 V t 3 L P w s Z o n 2 I 6 r U L 4 N + q j / k V G r u R 6 x Y d j P F U u p f 0 Z D l n h B X m n q q I N X V I 6 k U A V N m 0 T T 6 / j q j E d d z A i E R U 5 1 M G q t A J L q V 6 U X g 8 g S V Y x J T P S F q H n s i W s g y 2 C Z B 1 g 2 V i d A T n o S d w I T 7 L J D U b 4 b 3 R Q x O b Y c l g Z B k 8 G x n i z D t b 3 d y Y + 5 L Y R Q v b K 4 l I p Q 0 n c y 7 E s T F Y 7 h 6 h G v Y r E 9 g 8 H E n w O e a F W V E K E W W E n g u K 9 j d W T k y 9 2 e F C Q x 4 m M k 7 g h l N t I C V V x G w + n X T Q w m 7 v l 7 v a h S F Q n I 9 g U U X E I m P 6 v 6 o 4 q 7 A h p X L 1 R M m J L u T x 5 I s h g 3 F 5 S q 0 I B N 6 w 0 j E t G a S G B + T 9 2 w u z i L N p Z g 2 1 Y D M k C U m m N 3 X H Y C y i E p Q 4 3 + F T y b m E N 3 Z i Z y P 1 S R K y o W O B S x w T E y U I j w h t B q l k z A r j 2 S x v N z r 9 c h I C h H A J F Y D P Y 9 Y n k a U J 4 V p c m O Q n + q S b 5 E x C 3 j C z b 4 B S h H T Z N l N 2 L R O z u F M p E K V / i I f t R 4 6 U c 0 g R b 7 f 2 J 2 Y + l 7 k Z 7 X R 8 U Y s j m m R H 5 e 3 j s c X U k Q g 6 L z I h 2 h 2 I u C g Z 3 F a z b 7 b 2 N 1 R Y N s w 9 7 C 8 V T q J 1 B R F S J A K 1 m / + k t z d c m 1 n u l t F 5 a A y j D m 4 T B e L t L q r A I o U u l v g K I p W H J 3 9 S x y d Y V z E 4 4 U g Y O C H 8 o D B d R V 3 3 6 T V f K Q O u G e 2 a q I 6 Q G X p Q g A w X A l P g g U / M P R D 8 W f o M A + 4 B R E 2 S x e h x b d M I g b b 4 o A 3 o 4 B t 8 V g F i F 1 o R M v 3 k + H J C V U 6 z 1 3 N Z j o v n 4 s L F 1 B R l 8 6 H U 6 o p v I K r j G O j R H 5 8 2 Q y n e T I n l R Z 1 S u c V V 5 b L i 2 E G + E d x v 5 5 F H i L f I h 8 R s 4 g h m l g 0 Q a Q s U o h m F j W 9 E F o U I p p b N E d 0 a 9 E t I m m R R H R t 0 T W i x K K m S z O L M k T H F h 0 j u r H o B t H U o i k i E b M Q Z a y e 0 A c H T z e + 8 q l o 9 Y k w F P 7 6 l u 3 a 2 F 0 M 2 7 d o H 9 G R R U f 3 F Z Z M 4 V e B Q J 8 w y W e o e d V K p e y 2 i a z Q 6 J p 3 X b c t 1 2 2 3 9 R a m m 1 C N U 4 E N S V M + Z s a y p a 4 z F U 3 q f j 2 D F s V e P c P N v W 7 j 1 4 0 M b d x I 8 a q N X y E + b O N D x C d t f I L 4 o I 0 P G p n b + A j x q I 1 H i E / b + B T x e R u f / 8 c C K 3 l a 3 1 C l u J u K a U V E Q O C X 2 Y N v y a d V + r D K 9 b x 8 i P M j O r X o J a K X q A C i E 4 v e I 3 q P b x a o b v 0 9 U 8 8 H p F 6 v s Y a N o l 1 H S 9 O u o 1 F 1 r + v Y w 8 5 o X k r 7 n h X H a 9 f 6 s I 2 b o h 6 0 c T P P b h u b 4 w Q f 0 o O 7 n 8 2 L x p u d 7 c H z 7 R 9 / f r 7 x Y q / + p H 7 k f O e s O 5 v O w P n B e e E c O i P n 3 P G d X 5 3 f n N + d P 1 b + X P l 7 d W n 1 Y R X 6 Y K n O + c b p X K u r / w B g k Y P v < / l a t e x i t > 0 2500 0 35 Sy nc -R ED (8 -co re ) < l a t e x i t s h a 1 _ b a s e 6 4 = " J 3 b g 6 5 h 5 4 G D A w Z q 8 7 E + R u q O x J 3 A = " > A A A M R n i c j Z b d b t s 2 F M f V 7 q u N u y 3 d s I t h N 0 S C A C m Q e r b T Z d n F g C Z 2 m g Q I A i 8 f b d G 6 C y i Z k o h I o k J S s R V B 2 N P s d n u N v c J e Y n f D b n c o i Z S U u M M E 2 C J / 5 x x + / M + h J D s O q J C 9 3 p / 3 7 n / w 4 U c f f / L g 4 V L n 0 a e f f b 7 8 + I u X g i X c I e c O C x h / b W N B A h q R c 0 l l Q F 7 H n O D Q D s g r + 3 K o 7 K + u C R e U R W c y j c m 7 E H s R d a m D J a C L 5 a 8 n k s y l c L L T N H K e n u y N 8 v X t p w 7 j 5 M n F 8 m q v u 7 W 9 v f l s g H r d w d b W Z l 8 1 e p t b g + / 6 q N / t F d e q V V 3 j i 8 e d r y Z T 5 i Q h i a Q T Y C H e 9 n u x f J d h L q k T k H x p k g g S Y + c S e y S z G b u U 2 B Y 5 K q 8 1 F H P m E q E W i o O n V w k O q E w R u A R E t C J x K F w W y U a k H Y D J Z p h P U Y i l j 0 Q a 2 i y 4 E 6 W w D o K o a 8 w j J n 0 a e S 3 H i D r E 5 d i p h 3 d Y C E a p h 0 U u 4 6 j / 7 W A D E e l 0 W 7 E h d T h T K u c 6 V h P m c R z 7 a V u C M H 8 I 1 x q i E j b r I B h 8 2 n J w q C R 5 4 e F x l s Q I + k X W 2 j s r R q b O P F e O L v U S f k s w p Y l k s P L S A 1 a / o u o m I l d X K 2 2 N A o 9 x K n 1 Y d A 6 e p i s W e + W 3 B V a s W K 7 0 C V T Q r T g S J S F s K C x W I R n y 8 T V B A Z G S c K R s h C / Y X J g E k n I 2 q 7 M B k R 6 J l D N Z V B 2 A k g B z U O N / u f u + O j i 3 d s L T q f C D q F j o l M E C p 0 h 5 C U Q j h M t R W g H z 4 h j m S 0 t r a 2 t o z B l z Y R K t g U w D k s U B p l G u i l w 1 0 I 9 V y j f Q l L g 0 o m r f A D k L c b Q 0 i c i s C s 7 g T M R M F P Y 8 G z c 6 L a 9 6 k D w b 1 e 2 W T 3 X P s 7 O q 0 b I G J A x x n h 0 V t 5 Y F H g U s A E H T P B u a Z s s D D n o S x u X s O 3 W 7 P Q p s G + Y e F r d S J x a r p D A O U s H 6 1 S / K J h s T X Z m T j b w 0 Y O 6 F F E y q i l l c 3 o U L S f I m G 2 D I 8 4 Y f n r / H D 8 + N X 0 D D O 0 7 A w A 7 p g Q a V p d + i S c v 5 U O W w Y L Z y o s p B J P E d B 2 B m J T R y 7 9 i B G T s k f 2 4 M q m O 2 w L x 6 6 c z T + I Z w g 6 G t s U v r U a C t 8 V S 4 B k + g E D U f R c P j Y y x k l h V v h q z o 5 z 9 P A O V V 6 h w 4 p R L D I 7 i M O F J K Z E c X 9 X C S R i k q t a h C W o + 4 I l 1 2 C D P A H z b 7 t T W y D X I 0 c g w i G h G D f I 1 8 g 4 R G w q C 5 R n U t e B p 5 B q U a p Q b d a H R j E N e I G 3 S l 0 Z V B k U Z 1 l S Y a J Q Y d a X R k 0 L V G 1 w b N N J o Z x E L i G R n L n r H B w Z O 1 r e j l j T p h i s K v p 9 m O 9 t 0 x b i O N R g Y d a n S 4 K L F o B m 8 F B H V C O J 0 b z c t S K m T X R a S F N q a 0 b b p p m G 7 a p X d n O h 9 L M x W 0 I W h G p 0 S 1 d K q r S I G j q l 7 P o E R N r Z 6 Z z Z 0 2 8 W k t Q x P X U r x o 4 h c G H z T x g c H H T X x s 8 H 4 T 7 9 c y N / G h w e M m H h t 8 0 s Q n B p 8 3 8 f l / L L C U p / E N V Y i 7 L o g U i L k I 3 s w 2 f D 8 + K c O H Z a x t Z 0 M z v 0 E n G u 0 Z t G c U M O h Y o z c G v T F P F s h u 9 T 1 T z Q e k W q 9 q D W t F 2 4 a G p m 1 D r e p u 2 7 B r K q N + K I 1 s L Y 7 d z P V B E 9 d J 3 W / i e p 6 d J l b H C T 6 k 9 d c y e n / j 5 a D b f 9 b 9 4 a f B 6 v P d 6 p P 6 g f W N t W K t W 3 3 r e + u 5 d W C N r X P L s X 6 x f r V + s 3 7 v / N H 5 q / N 3 5 5 / S 9 f 6 9 K u Z L q 3 U 9 s v 4 F g k a B x A = = < / l a t e x i t > 0 2500 time (second) 29.00 dB 0 35  SNR (dB) < l a t e x i t s h a 1 _ b a s e 6 4 = " S 3 5 m g H p 8 m C s 1 Y p 8 X m y + U Q 9 H A 2 b I = " > A A A M M 3 i c j Z b b b t t G E I a Z 9 J R Y P S Q t e t W b h Q 0 D D u C 6 k l G g 6 E W B 2 H J i G z A E 1 Y f E S J U Y S 2 p J L k x y 6 d 2 l J Z n g S / S 2 f Y 0 + T N G 7 o r d 9 h 8 6 S 3 C F p q U U J 2 B x + M 7 O H f 2 Y p u m n E l e 7 3 f 3 / w 8 L 3 3 P / j w o 0 e P 1 3 o f f / L p Z 0 + e f v 5 K i U x 6 7 M I T k Z C X L l U s 4 g m 7 0 F x H 7 D K V j M Z u x F 6 7 1 0 P j f 3 3 L p O I i O d e L l L 2 N a Z B w n 3 t U A 7 o 8 G 5 2 S r e n + s 6 s n G / 2 d f n m R Z W N Q G x t O f Y 2 v n v a + n E y F l 8 U s 0 V 5 E l f p p 0 E / 1 2 5 x K z b 2 I F W u T T L G U e t c 0 Y L k r x L W m r i p I d W 2 S V A q f K b M q G n 1 9 k 9 G I 6 w W B k I i p T i a N l S 8 S 3 c p 0 I 3 C 5 g s o p i a k O i V r E r o i W s g y 2 S Z B 1 S 2 U i d M i T o B O Y c I / 5 k n r N 8 J 6 I w a n t s M Q X k g y + 2 d 0 m T H s 7 n d y Y e 1 I Y S Q u b a 4 k I J E 3 D R V e C u H g M 1 y b h G j b r E R h 8 2 g n w u G Z F G R F I k a U E n s s S d X d W j s y 9 e W E C f R 5 k 8 p 5 g R h M t Y O V V B K x + 3 T R J w m 5 u 1 r s a R Y G Q X I e w 6 A I i 8 V G t j i r u C 2 x Y u V w d M i H Z v T y W Z D F s K C 5 X o Q U J 6 S 0 j E d O a S W J 8 T K 7 Y X J x F m k s x a 6 o B m Q F L T D B b 1 R 2 A s o h K U O N / h Y e h O S X 3 d i I X U x V G S b n Q q Y A F T o m J U o Q n h F a j d B L m 5 Z k r 1 t Y 2 N z f J W A r h w y R W A 7 2 I W J 5 G l C e F a X J j k B / q k m + T K f N 5 w s 2 + A U o R 0 2 R t k r B Z n Z z D m U i F K v 1 F P m 4 9 d K K a Q Y r 8 o L E 7 M f W 9 y M 9 r o + O N W B z T I j 8 p b x 2 P J 6 S I Q N B F k Q / R 7 E T A Q c / i t J p 9 r 7 G 7 o 8 C 2 Y e 5 h e a t 0 E q k p i p A g F a z f / C X 5 Z H t i O 3 O y X V Q O K o O Y g 8 t 0 s U i r u / K h S M F k G x x F 0 Y q j 8 3 + J o 3 O M i 3 i 8 F A Q M / F A e M L i u 4 l Z N W s 1 H 6 o A V s 1 U T 1 Q E q S 5 c C g O F K e O I v + Y G h H 4 o / R 4 d 5 w C 2 I o F m 6 C C y + Y x I x 2 B b 7 v B k F b I u n y k c 8 g U a 0 / C A Z j k Z U 6 T y f a D b X e f l c v J s A K u r S e X B K N Y V X c J V x Y p T I T 6 6 a 4 T R P F q T S o k 7 p v O L K c r k x z A D / K O 7 X t c h F 5 F n k I W I W M U S h R S E i Z Z F C N L e o 6 Y X A o g D R w q I F o j u L 7 h B J i y S i G 4 t u E C U W N V 2 a W Z Q h O r H o B N G t R b e I Z h b N E I m Y B S h j 9 Y Q + O H i 6 8 Z V P R a t P h K H w 1 7 d s z 8 b u Y d i B R Q e I j i 0 6 X l V Y M o N f B Q J 9 w i S f o + Z V K 5 W y 2 y a y Q q N r 0 X X d t V x 3 3 d Z b m i 6 k G q c C G 5 J m f M q M Z U t d Z y q a 1 P 1 6 D i 2 K v X q O m z t r 4 7 N G h j Z u p H j Z x i 8 R H 7 X x E e J R G 4 8 Q H 7 b x Y S N z G x 8 j H r f x G P F p G 5 8 i v m j j i / 9 Y Y C V P 6 x u q F H d L M a 2 I 8 A n 8 M r v w s f i s S h 9 W u a 6 b D 3 F + R K c W v U D 0 A h V A N L L o D a I 3 + G a B 6 t b f M / V 8 Q O r 1 G m v Y K N p 1 t D T t O h p V 9 7 u O f e y M 5 q V 0 4 F p x 3 H a t j 9 q 4 K e p h G z f z 7 L W x O U 7 w I T 2 4 / 9 m 8 b L z a 3 R l 8 u / P 9 j 7 s b z / f r T + p H z l f O u r P l D J z v n O f O k T N 2 L h z P i Z y f n V + c X 3 u / 9 f 7 o / d n 7 q w p 9 + K D O + c L p X L 2 / / w G x J X q 7 < / l a t e x i t > Gm-RED (1-co re) < l a t e x i t s h a 1 _ b a s e 6 4 = " + N T 2 4 K 9 P w Z N 8 q Z N m l d Q V B 1 j j c H A = " > A A A M R H i c j Z b d b t s 2 F M f V 7 q u N 9 5 F u G H a x G y J B g B R I P D t L l / V i Q B M 7 T Q I E g Z c m b d G 5 C y i Z k o h I p E J S s R 1 B T 7 P b 7 T X 2 D n u H 3 Q 2 7 H X Y o i Z S U u M M E 2 C J / 5 x x + / M + h J D e J q F S 9 3 h / 3 7 r / 3 / g c f f v T g 4 V L n 4 0 8 + / W z 5 0 e c v J U + F R 8 4 9 H n H x 2 s W S R J S R c 0 V V R F 4 n g u D Y j c g r 9 3 K g 7 a + u i Z C U s z M 1 T 8 j b G A e M + t T D C t D F 8 l d j R W Z K e t l B v H m 6 P 8 z X + 5 s e F + T x x f J q r / u 0 v 9 P f 2 U K 9 7 v Z 3 v W + / 3 4 b G k + 2 d r S f b q N / t F d e q U 1 2 j i 0 e d L 8 c T 7 q U x Y c q L s J Q / 9 X u J e p t h o a g X k X x p n E q S Y O 8 S B y R z O b 9 U 2 J U 5 K q 8 1 l A j u E 6 m X i a P N q x R H V M 0 R u E R E t i J x L H 3 O V C P S j c D k c i w m K M Y q R H I e u z y 6 E 6 W x C Y K o a y w Y V y F l Q c u R U Y / 4 A n v 1 8 B 6 P w a j M s M j n A v W / 2 d p A R H n d V m x M P c G 1 x r m J N Y Q H A i f h v C 1 B n D + E a w 1 R B Z v 1 E A w + a T l 4 V J G 8 8 A g E T x M E / S J n 7 Z 0 V I 1 N v l m t H n w a p u C W Y 1 k R x W H n p A a t f 0 V X D y N X V S l u j K O C C q h A W n Y O n 7 c r F X v l t g T U r l q t C A h V 0 K 4 6 w N I Y N x c U q F E c h v i Y o I k o R g b S N i A W b i 9 N I U c G n d T Y g M i B M O 5 N F 1 Q E o j b A A N f 6 X e x j q Y 3 N r J 2 I + k W H E i o V O O C x w g r S X R J Q h X I 7 S C p g V h z B f W l p b W 0 M j w b k P k x g N 1 D w i W R J h y n J d 5 L q B f q h S v o E m x K e M 6 n 0 D F D z G b G n M y L Q K z u B M J F w W 9 j w b N T o t r 3 q Q P B v W 7 Z Z P d c + z s 6 r R s k Y k j n G e H R e 3 l g U e B T w C Q e d 5 N r D N l g c c 9 D R O y t l 3 6 3 Z 7 F N g 2 z D 0 o b q V O P N F J 4 Q K k g v X r H 8 v G G 2 N T m e O N v D R g E c Q U T L q K e V L e p Q 9 J C s Y b Y M j z h h + e v c M P z 6 x f R O M 7 T s D A D u m B B l W l 3 6 J J y / l Q 5 b B g t n K i y k G m y R 0 H Y H Y l l P l 3 7 M C s H Z I / s w b d s V v g Q b 1 0 H h h 8 Q 4 T F 0 D b Y p / U o 0 D Z 4 I n 2 L x 1 C I h g / Z 4 O Q E S 5 V l x X s h K / r 5 z 2 N A e Z U 6 D 0 6 p w v A I L i O O t R L Z 8 U U 9 n K J s j k o t q p D W I 6 5 I l x v D D P C H 7 X 5 d g 1 y L P I M 8 i 4 h B x K L Q o N A i a Z C 0 a G Z Q X Q u B Q Y F F c 4 P m F t 0 Y d G O R M E h Y d G X Q l U X M o L p K U 4 N S i 4 4 N O r b o 2 q B r i 6 Y G T S 3 i M Q m s j G X P 2 u D g q d p W 9 P J G n X B N 4 d c z b N f 4 7 l q 3 o U F D i 4 4 M O l q U W D S F t w K C O i G C z q z m Z S k V s p s i M k J b 0 7 x t u m m Y b t q l d 2 e 6 E C s 7 F b Q h a E o n R L d M q q t I i V l V r 2 d Q o r Z W z + z m X j T x i 1 q G J q 6 l e N 7 E z y 0 + b O J D i 0 + a + M T i g y Y + q G V u 4 i O L R 0 0 8 s v i 0 i U 8 t P m / i 8 / 9 Y Y C l P 4 x u q E H d d E i U R 9 x G 8 m V 3 4 e n x c h g / K W N f N B n Z + i 0 4 N 2 r d o 3 y p g 0 Y l B b y x 6 Y 5 8 s k N 3 q e 6 a a D 0 i 1 X t 0 a 1 I q 2 D Q 1 N 2 4 Z a 1 b 2 2 Y c 9 W R v 1 Q G r p G H L e Z 6 8 M m r p N 6 0 M T 1 P L t N r I 8 T f E i b r 2 X 0 7 s b L r W 5 / u / v 0 x 6 3 V Z 3 v V J / U G W Q j J G 3 c 2 q 5 9 R m l 2 h b W h N e J o = " > A A A M S n i c j Z b d b t s 2 F M f V r t v a u N v S D b s a B h A J A q R A k t n Z R 5 O L A U 3 s N A k Q B F 4 + 2 q J 1 F 1 A y J R G R S I W k Y j u C + U v J U e O T c 4 x E X r 1 0 s S U Q Z O V d U R e R 1 I g i O 3 Y i 8 c i / 7 2 v 7 q m g h J O T t T s 4 S 8 i 3 H A q E 8 9 r A B d L H 4 9 U m S q p J f t y B n z 1 k / 2 B u u n + / n q 1 r r H B X l 6 s b j c 3 X j 2 7 f d b 2 9 u o u 9 E t L t 3 o / d D r b q F e R Z a d 6 h p e P O l 8 O R p z L 4 0 J U 1 6 E p X z b 6 y b q X Y a F o l 5 E 8 o V R K k m C v U s c k M z l / F J h V + a o v F Z Q I r h P p F 4 s j t a v U h x R N U P g E h H Z i s S x 9 D l T j U g 3 A p P L s R i j G K s Q y V n s 8 u h O l M Y m C K K u s W B c h Z Q F L U d G P e I L 7 N X D e z w G o z L D I p 8 L 1 P t m c w 0 R 5 W 2 0 Y m P q C a 6 V z k 2 s I T w Q O A l n b Q n i / B F c K 4 g q 2 K y H Y P B x y 8 G j i u S F R y B 4 m i D o F 5 l r 7 6 w Y m X r T X D v 6 N E j F L c G 0 J o r D y k s P W P 2 S r h 1 G r q 6 W 2 h p F A R d U h b D o H D x t V 8 7 3 y m 8 L r F m x X B U S q K B b c Y S l M W w o L l a h O A r x N U E R U Y o I p G 1 E z N l c n E a K C j 6 p s w G R A W H a m c y r D k B p h A W o 8 b / c w 1 A f n l s 7 E b O x D C N W L H T M Y Y F j p L 0 k o g z h c p R W w L Q 4 i v n C w s r K C h o K z n 2 Y x G i g Z h H J k g h T l u s i 1 w 3 0 Y 5 X y N T Q m P m V U 7 x u g 4 D F m C y N G J l V w B m c i 4 b K w 5 9 m w 0 W l 5 1 Y P k 2 a B u t 3 y q e 5 6 d V Y 2 W N S J x j P P s q L i 1 L P A o 4 B E I O s u z v m 2 2 P O C g p 3 F S z r 5 T t 9 u j w L Z h 7 n 5 x K 3 X i i U 4 K F y A V r F / / W D Z a G 5 n K H K 3 l p Q G L I K Z g 0 l X M k / I u f U h S M F o D Q 5 4 3 / P D 0 P X 5 4 a v 0 i G t 9 x A g Z 2 S A 8 0 q C r 9 5 k 1 a z o c q h z m z l R N V D j J N 7 j g A s y u h z L 9 j B 2 b t k P y p N e i O 3 Q I P 6 q X z w O A b I i y G t s E + r U e B t s F j 6 V s 8 g k I 0 f M D 6 x 8 d Y q i w r 3 g 5 Z 0 c 9 / H g H  K q 9 R 5 c E o V h k d w G X G k l c i O L u r h F G U z V G p R h b Q e c U W 6 3 B h m g D 9 s 9 + s a 5 F r k G e R Z R A w i F o U G h R Z J g 6 R F U 4 P q W g g M C i y a G T S z 6 M a g G 4 u E Q c K i K 4 O u L G I G 1 V W a G p R a d G T Q k U X X B l 1 b N D F o Y h G P S W B l L H v W B g d P 1 b a i l z f q h G s K v 6 5 h O 8 Z 3 x 7 o N D B p Y d G j Q 4 b z E o g m 8 F R D U C R F 0 a j U v S 6 m Q 3 R S R E d q a Z m 3 T T c N 0 0 y 6 9 O 9 O F W N m p o A 1 B E z o m u m V S X U V K z K p 6 P Y M S t b V 6 Z j d 3 2 s S n t Q x N X E v x o o l f W H z Q x A c W H z f x s c X 7 T b x f y 9 z E h x Y P m 3 h o 8 U k T n 1 h 8 3 s T n / 7 H A U p 7 G N 1 Q h 7 q o k S i L u I 3 g z u / A N + b Q M 7 5 e x r p v 1 7 f w W n R i 0 Z 9 G e V c C i Y 4 P e W P T G P l k g u 9 X 3 T D U f k G q 9 u t W v F W 0 b G p q 2 D b W q u 2 3 D r q 2 M + q E 0 c c E w v 7 i d Q 0 V J y I H T 8 = " > A A A M S n i c j Z b d b t s 2 F M f V r t v a u N v S D b s a B h A J A r R A 4 t l p 0 D Q X A 5 r Y a R I g C L w 0 a Y v W X U D J l E x E I h W S i q 0 I u t r T 7 H Z 7 j b 3 A X m N 3 w 2 5 2 K I m U l K T D B N g i f + c c f v z P o S Q 3 D q l U v k I U 1 6 I p X z f 7 8 X q Q 4 a F o l 5 I 8 o V x I k m M v X M c k M z l / F x h V + a o v F Z Q L L h P p F 4 s D t c u E h x S l S J w C Y l s R e J I + p y p R q Q b g s n l W E x Q h N U U y T R y e X g j S m M T B F G X W D C u p p Q F L U d G P e I L 7 N X D e z w C o z L D I p 8 L 1 P 9 h f R U R 5 X V b s R H 1 B N d K 5 y b W E B 4 I H E / T t g R R / g C u F U Q V b N Z D M P i k 5 e B R R f L C I x A 8 i R H 0 i 8 y 1 d 1 a M T L 1 5 r h 1 9 G i T i m m B a E 8 V h 5 a U H r H 5 J 1 w 4 j F x d L b Y 3 C g A u q p r D o H D x t V 9 7 u l V 8 X W L N i u W p K o I K u x R G W R L C h q F i F 4 m i K L w k K i V J E I G 0 j 4 p b N R U m o q O C z O h s Q G R C m n c l t 1 Q E o C b E A N f 6 X + 3 S q D 8 + 1 n Y h 0 I q c h K x Y 6 4 b D A C d J e E l G G c D l K K 2 B e H M V 8 Y W F l Z Q W N B O c + T G I 0 U G l I s j j E l O W 6 y H U D / V i l f B V N i E 8 Z 1 f s G K H i E 2 c K Y k V k V n M G Z i L k s 7 H k 2 a n R a X v U g e T a s 2 y 2 f 6 p 5 n J 1 W j Z Q 1 J F O E 8 O y x u L Q s 8 C n g I g q Z 5 N r D N l g c c 9 C S K y 9 m 3 6 3 Z 7 F N g 2 z D 0 o b q V O P N Z J 4 Q K k g v X r H 8 v G q 2 N T m e P V v D R g E U Q U T L q K e V z e p Q 9 J C s a r Y M j z h h + e f 8 Q P z 6 1 f S K M b T s D A D u m B B l W l 3 2 2 T l v O h y u G W 2 c q J K g e Z x D c c g N m V U O b f s A O z d k j + 3 B p 0 x 2 6 B B / X S e W D w F R E W Q 9 t g n 9 a j Q N v g i f Q t H k M h G j 5 k g 6 M j L F W W F W + H r O j n P 4 8 B 5 V X q P D i l C s M j u I w 4 1 E p k h 2 f 1 c I q y F J V a V C G t R 1 y R L j e C G e A P 2 / 2 6 B r k W e Q Z 5 F h G D i E V T g 6 Y W S Y O k R X O D 6 l o I D A o s S g 1 K L b o y 6 M o i Y Z C w 6 M K g C 4 u Y Q X W V J g Y l F h 0 a d G j R p U G X F s 0 M m l n E I x J Y G c u e t c H B U 7 W t 6 O W N O u G a w q 9 n 2 L b x 3 b Z u Q 4 O G F h 0 Y d H B b Y t E M 3 g o I 6 o Q I O r e a l 6 V U y G 6 K y A h t T W n b d N U w X b V L 7 8 Z 0 U 6 z s V N C G o B m d E N 0 y q a 4 i J W Z V v Z 5 A i d p a P b G b e 9 X E r 2 o Z m r i W 4 m U T v 7 R 4 v 4 n 3 L T 5 q 4 i O L 9 5 p 4 r 5 a 5 i Q 8 s H j X x y O L j J j 6 2 + L S J T / 9 j g a U 8 j W + o Q t z H k i i J u I / g z e z C N + S T M n x Q x r p u N r D z W 3 R s 0 K 5 F u 1 Y B i 4 4 M e m f R O / t k g e x W 3 z P V f E C q 9 e r W o F a 0 b W h o 2 j b U q u 6 0 D T u 2 M u q H 0 t A 1 4 r j N X O 8 3 c Z 3 U v S a u 5 9 l u Y n 2 c 4 E P a f C 2 j j z d e r 3 f 7 G 9 2 t n 9 a X X + x U n 9 T 3 n e + c J e e x 0 3 c 2 n R f O v j N y T h 3 P + c X 5 1 f n N + b 3 z R + e v z t + d f 0 r X u 3 e q m G + c 1 v X w 3 r / g G I M R < / l a t e x i t > < l a t e x i t s h a 1 _ b a s e 6 4 = " B 9 m B s s z  H A 0 f w E V Q Y X U d 5 N j / l 6 s Y = " > A A A N 5 3 i c j Z f N b 9 x E F M C 3 y 1 e 7 E G j h i I R G T Y N S K V n W a U W 3 B 6 Q m m z S J l E Y h H 2 1 V X K K x P b Z H t T 3 O z D j Z j e U j V M P Y O 5 h E F q p 4 V l H L m E 6 H a F U f r F x m O q J y h M h X R 8 c S x 8 F k i W 5 5 O B C q H Y e 6 h G E M v i l n s s G j O S 2 H t B F 6 X m C d M h j Q J O o Y J d Y n P s d u E L x v d l T o s 8 h l H 1 j c b a 4 h I d 9 j x j a n L m T p r h f b V h A U c p + G s W 4 K 4 u A P P C q I S F u s i C O 5 1 D F w q S V F a B J z B O Y R x e X a 7 K y s j U 3 d a K E O f B h m / U T B V E 8 k g 8 8 o C s r + v b o + E X F z c 7 9 Y o C h i H w w x J F 2 B p h m K x V X G z w I q V 6 c q Q Q I P e 8 C N J F s O C 4 j I L y V C I L w m K i I Q 7 B y k d 4 Q s W F 2 e R p J x d N b s B n g F J l D F Z 1 B 1 1 J 0 M 1 / p d 5 G K r r 8 8 Z K + M w T Y Z S U i X p w U u C O U 1 Y C w U n F V Z S O w 7 S 8 j I v B Y G V l B R 1 x x n y Y R N d A z i K S p x F W B x K a X A n o u 3 r L 1 5 B H f J p Q t W 6 A n M U 4 G d g J u a q d c z g T K R O l v s i P W o O O V R O k y L c b u W N T v 4 v 8 t B Y 6 2 o j E M S 7 y g / L V 0 c B N w y I o 6 K z I J 0 b s W M B B z + K 0 m n 2 z k b t R Y N k w 9 6 R 8 V X V i q d o U x q F U k L / 6 S X J 7 z d a d a a 8 V l Q L z A C 6 z 3 F Z d z N L q L X z Y p M B e U 7 d c 0 b L D 0 3 + x w 1 N j F 9 F 4 z g g Y 6 G F 7 Q K C y s l s 0 a T U f q g 0 W z F Z N V B u I L J 0 z A G Y y o Y k / p w d m 9 L D 5 U 6 N Q A 7 M E F j S p s 0 D j a 8 I N B l l j n z Z R Q N b Y E 7 7 B N j S i 5 t v J 5 P A Q C 5 l X f 3 z y c l z 8 a A M q 6 q 1 z 4 Z R K D F d w 5 X G g K p E f n D f h J E 1 m q K p F 7 d K 5 4 s r t c m K Y A X 5 h s 1 5 H I 8 c g V y P X I K I R M S j U K D R I a C Q M m m r U 9 E K g U W D Q T K O Z Q d c a X R v E N e I G X W h 0 Y V C i U d O l m U a Z Q Q c a H R h 0 q d G l Q V c a X R n E Y h K Y M l Y j o 4 O D J x t d O S p a f c I U h Z + R Z p v a d t O Y b W u 0 b d C + R v u L N r b 6 E I Q + I Z x O T c 2 r V i r L r p t I F 9 q o Z l 3 V d U t 1 3 W 2 9 u e l C L M 1 U I I P T F f W I k v R W 1 5 4 C J 3 W / n k K L m l 4 9 N Y s 7 a e O T p g x t 3 J T i e R s / N 3 i v j f c M P m z j Q 4 N 3 2 3 i 3 K X M b 7 x t 8 1 M Z H B h + 3 8 b H B Z 2 1 8 9 h 8 J V u V p f U O V x V 0 V R A r 1 5 Q 9 / m R 3 4 X 8 T D y n 1 S + T p O P j H z G 3 S s 0 Y 5 B O 6 Y C B h 1 q 9 M a g N + Z m g d 2 t v 2 f q + Y D U + S p p 0 l S 0 q 2 j V t K t o q r r V V W y B A j 5 x r Z s f t P P C q 4 2 h 9 X h o W d 9 v L D / b q r 9 2 b / e + 7 N 3 v r f a s 3 p P e s 9 5 e 7 6 h 3 1 n P 7 P / V / 7 / / Z / 2 s p X P p 5 6 Z e l X y v T / q 3 a 5 4 t e 5 1 n 6 7 R / 6 b A f C < / l a t e x i t > and variance of the stochastic gradient (Lian et al., 2015; Ghadimi & Lan, 2016) . Our final assumption is related to the deep denoiser used in ASYNC-RED. Assumption 4. The denoiser D is a nonexpansive operator kD (x) D (y)k  kx yk. Compared with the conditions stated in Section 2 (namely, that it is locally homogeneous with a symmetric Jacobian), our requirement on the denoiser is milder. One can train a nonexpansive D by constraining the Lipschitz constant of D via the spectral normalization, which is an active area of research in deep learning (Miyato et al., 2018; Sedghi et al., 2019; Anil et al., 2019; Terris et al., 2020) . We can now state the theorems on ASYNC-RED. Theorem 1. Let Assumptions 1-4 hold true. Run ASYNC-RED-BG for t > 0 iterations with uniform i.i.d block selection using a fixed step-size 2 (0, 1/((1 + 2 )(L + 2⌧ ))]. Then, the iterates of the algorithm satisfy min 0kt 1 E ⇥ kG(x k )k 2 ⇤   D b + 2 (L + 2⌧ )b t R 2 0 . ( ) where D = 2 2 /(1 + ) 2 is a constant. Theorem 1 establishes the convergence of ASYNC-RED-BG to the fixed-point set zer(G) at the rate of O(1/t). Our result is consistent with the existing results in the literature. In particular, when the algorithm adopts serial block updates, that is = 0 and e x k = x k , the recovered convergence is nearly the same as BC-RED (Sun et al., 2019a) scaled by some constant. On the other hand, our convergence rate O(1/t) is also consistent with the rate proved for the asynchronous block coordinate descent in nonconvex optimization (Sun et al., 2017) . Theorem 2. Let Assumptions 1-4 hold true. Run ASYNC-RED-SG for t > 0 iterations with uniform i.i.d selections of blocks and measurements using a fixed step-size 2 (0, 1/((1 + 2 )(L + 2⌧ ))]. Then, the iterates of the algorithm satisfy min 0kt 1 E ⇥ kG(x k )k 2 ⇤   D b + 2 (L + 2⌧ )b t R 2 0 +  2D b + 2 w C ( ) where C = (L + 2⌧ )(1 + )⌫ 2 and D = 2 2 /(1 + ) 2 are constants. Theorem 2 states that ASYNC-RED-SG approximates the solution obtained by ASYNC-RED-BG up to a finite error that decreases for larger values of the minibatch size w. This relationship is consistent with the recent theoretical results on the online PnP and RED algorithms (Sun et al., 2019b; Wu et al., 2020) . In practice, the selection of w must balance the actual memory capacity of the system and the desired runtime for obtaining a reasonable solution. Our numerical evaluation in Section 5 demonstrates the excellent approximation of ASYNC-RED-SG to the batch-gradient solution by using a small subset of data. By carefully choosing the stepsize , we can state the following remark on Theorem 2. Remark 1. Set the stepsize to be = 1/ p wt. If the maximal delay satisfies  (1/2)[ p wt/(L + 2⌧ ) 1], then after t > 0 iterations we have  min 0kt 1 E ⇥ kG(x k )k 2 ⇤   D b + 2 (L + 2⌧ )b p wt R 2 0 +  2D b + 2 C p wt . ( I J E 3 D R V e C u H g M 1 y b h G j b r E R h 8 2 g n w u G Z F G R F I k a U E n s s S d X d W j s y 9 e W E C f R 5 k 8 p 5 g R h M t Y O V V B K x + 3 T R J w m 5 u 1 r s a R Y G Q X I e w 6 A I i 8 V G t j i r u C 2 x Y u V w d M i H Z v T y W Z D F s K C 5 X o Q U J 6 S 0 j E d O a S W J 8 T K 7 Y X J x F m k s x a 6 o B m Q F L T D B b 1 R 2 A s o h K U O N / h Y e h O S X 3 d i I X U x V G S b n Q q Y A F T o m J U o Q n h F a j d B L m 5 Z k r 1 t Y 2 N z f J W A r h w y R W A 7 2 I W J 5 G l C e F a X J j k B / q k m + T K f N 5 w s 2 + A U o R 0 2 R t k r B Z n Z z D m U i F K v 1 F P m 4 9 d K K a Q Y r 8 o L E 7 M f W 9 y M 9 r o + O N W B z T I j 8 p b x 2 P J 6 S I Q N B F k Q / R 7 E T A Q c / i t J p 9 r 7 G 7 o 8 C 2 Y e 5 h e a t 0 E q k p i p A g F a z f / C X 5 Z H t i O 3 O y X V Q O K o O Y g 8 t 0 s U i r u / K h S M F k G x x F 0 Y q j 8 3 + J o 3 O M i 3 i 8 F A Q M / F A e M L i u 4 l Z N W s 1 H 6 o A V s 1 U T 1 Q E q S 5 c C g O F K e O I v + Y G h H 4 o / R 4 d 5 w C 2 I o F m 6 C C y + Y x I x 2 B b 7 v B k F b I u n y k c 8 g U a 0 / C A Z j k Z U 6 T y f a D b X e f l c v J s A K u r S e X B K N Y V X c J V x Y p T I T 6 6 a 4 T R P F q T S o k 7 p v O L K c r k x z A D / K O 7 X t c h F 5 F n k I W I W M U S h R S E i Z Z F C N L e o 6 Y X A o g D R w q I F o j u L 7 h B J i y S i G 4 t u E C U W N V 2 a W Z Q h O r H o B N G t R b e I Z h b N E I m Y B S h j 9 Y Q + O H i 6 8 Z V P R a t P h K H w 1 7 d s z 8 b u Y d i B R Q e I j i 0 6 X l V Y M o N f B Q J 9 w i S f o + Z V K 5 W y 2 y a y Q q N r 0 X X d t V x 3 3 d Z b m i 6 k G q c C G 5 J m f M q M Z U t d Z y q a 1 P 1 6 D i 2 K v X q O m z t r 4 7 N G h j Z u p H j Z x i 8 R H 7 X x E e J R G 4 8 Q H 7 b x Y S N z G x 8 j H r f x G P F p G 5 8 i v m j j i / 9 Y Y C V P 6 x u q F H d L M a 2 I 8 A n 8 M r v w s f i s S h 9 W u a 6 b D 3 F + R K c W v U D 0 A h V A N L L o D a I 3 + G a B 6 t b f M / V 8 Q O r 1 G m v Y K N p 1 t D T t O h p V 9 7 u O f e y M 5 q V 0 4 F p x 3 H a t j 9 q 4 K e p h G z f z 7 L W x O U 7 w I T 2 4 / 9 m 8 b L z a 3 R l 8 u / P 9 j 7 s b z / f r T + p H z l f O u r P l D J z v n O f O k T N 2 L h z P i Z y f n V + c X 3 u / 9 f 7 o / d n 7 q w p 9 + K D O + c L p X L 2 / / w G x J X q 7 < / l a t e x i t > time (second) 29.00 dB 0 500 10 -5 10 0 10 -5 10 0 0 500 Async-RED-SG(w=1120) < l a t e x i t s h a 1 _ b a s e 6 4 = " 9 Z Z / b P B w B F H p W j n c V O E Q W 4 J P q 7 g = " > A A A M T H i c j Z Z b b 9 s 2 F M f V b u v a u N v S D X v a w 4 i k A V I g y e z s 0 u a h Q B M 7 T Q I E g Z d L W 3 T u A k q m J C I S q Z B U b E f Q 4 z 7 N X r e v s f d 9 j 7 0 N A 3 Y o i Z S U u M M E 2 C J / 5 x x e / u d Q k p t E V K p u 9 8 8 7 d z / 4 8 K N 7 H 9 9 / s N B 5 + M m n n y 0 + + v y V 5 K n w y J n H I y 7 e u F i S i D J y p q i K y J t E E B y 7 E X n t X v S 1 / f U V E Z J y d q p m C X k X 4 4 B R n 3 p Y A T p f / H q k y F R J L 9 u W M + a t H + 8 O 1 k / 2 8 t X H k 8 f P e 7 3 N 7 p P z x e X u x t N v v 3 + 2 t Y W 6 G 9 3 i 0 o 3 e D 7 3 u M 9 S r y L J T X c P z R 5 0 v R 2 P u p T F h y o u w l D / 1 u o l 6 l 2 G h q B e R f G G U S p J g 7 w I H  J H M 5 v 1 D Y l T k q r x W U C O 4 T q Z e L o / X L F E d U z R C 4 R E S 2 I n E s f c 5 U I 9 K N w O R y L M Y o x i p E c h a 7 P L o V p b E J g q g r L B h X I W V B y 5 F R j / g C e / X w H o / B q M y w y O c C 9 b 7 Z X E N E e R u t 2 J h 6 g m u t c x N r C A 8 E T s J Z W 4 I 4 f w D X C q I K N u s h G H z c c v C o I n n h E Q i e J g j 6 R e 7 a O y t G p t 4 0 1 4 4 + D V J x Q z C t i e K w 8 t I D V r + k q 4 e R y 8 u l t k Z R w A V V I S w 6 B 0 / b l f O 9 8 p s C a 1 Y s V 4 W E C 3 I j j r A 0 h g 3 F x S o U R y G + I i g i S h G B t I 2 I O Z u L 0 0 h R w S d 1 N i A y I E w 7 k 3 n V A S i N s A A 1 / p d 7 G O r j c 2 M n Y j a W Y c S K h Y 4 5 L H C M t J d E l C F c j t I K m B a H M V 9 Y W F l Z Q U P B u Q + T G A 3 U L C J Z E m H K c l 3 k u o G e V y l f Q 2 P i U 0 b 1 v g E K H m O 2 M G J k U g V n c C Y S L Q T n R Q u Q C p Y v / 6 x b L Q 2 M p U 5 W s t L A x Z B T M G k q 5 g n 5 V 3 6 k K R g t A a G P G / 4 4 e l 7 / P D U + k U 0 v u U E D O y Q H m h Q V f r N m 7 S c D 1 U O c 2 Y r J 6 o c Z J r c c g B m V 0 K Z f 8 s O z N o h + V N r 0 B 2 7 B R 7 U S + e B w d d E W A x t g 3 1 a j w J t g 8 f S t 3 g E h W j 4 g P W P j r B U W V a 8 H 7 K i n / 8 8 A p R X q f P g l C o M j + A y 4 l A r k R 2 e 1 8 M p y m a o 1 K I K a T 3 i i n S 5 M c w A f 9 j u 1 z X I t c g z y L O I G E Q s C g 0 K L Z I G S Y u m B t W 1 E B g U W D Q z a G b R t U H X F g m D h E W X B l 1 a x A y q q z Q 1 K L X o 0 K B D i 6 4 M u r J o Y t D E I h 6 T w M p Y 9 q w N D p 6 q b U U v b 9 Q J 1 x R + X c O 2 j e + 2 d R s Y N L D o w K C D e Y l F E 3 g r I K g T I u j U a l 6 W U i G 7 K S I j t D X N 2 q b r h u m 6 X X q 3 p g u x s l N B G 4 I m d E x 0 y 6 S 6 i p S Y V f V 6 C i V q a / X U b u 6 k i U 9 q G Z q 4 l u J l E 7 + 0 e L + J 9 y 0 + a u I j i / e a e K + W u Y k P L B 4 2 8 d D i 4 y Y + t v i s i c / + Y 4 G l P I 1 v q E L c V U m U R N x H 8 G Z 2 4 S v y S R n e L 2 N d N + v b + S 0 6 N m j X o l 2 r g E V H B r 2 1 6 K 1 9 s k B 2 q + + Z a j 4 g 1 X p 1 q 1 8 r 2 j Y 0 N G 0 b a l V 3 2 o Y d W x n 1 Q 2 n g G n H c Z q 7 3 m 7 h O 6 l 4 T 1 / N s N 7 E + T v A h b b 6 W 0 f s b r z Y 3 e t 9 t b P 2 4 u f x i p / q k v u 9 8 5 S w 5 q 0 7 P e e q 8 c P a d o X P m e M 4 v z q / O b 8 7 v n T 8 6 f 3 X + 7 v x T u t 6 9 U 8 V 8 4 b S u h / f + B V 4 Y g s 8 = < / l a t e x i t > Async-RED-SG(w=2240) < l a t e x i t s h a 1 _ b a s e 6 4 = " m B b g i r M L c P H q W F u T j 6 D z f p V i m 4 M = " > A A A M T H i c j Z b P T 9 x G F M e d t E 0 T N m 1 J q 5 5 6 6 A i C R C T Y 7 m 5 Q K I d I g V 0 C S A h R A k m U b I r G 3 r E 9 w v a Y m T G 7 x v K x f 0 2 v 7 b / R e / + P 3 q p K f W N 7 x j Z s q l r a 9 c z n v T c / v u + N b T s O q J C 9 3 p 9 3 7 n 7 y 6 W f 3 P r / / Y K H z 8 I s v v 1 p 8 9 P V r w R L u k D O H B Y y / t b E g A Y 3 I m a Q y I G 9 j T n B o B + S N f T F U 9 j d X h A v K o l O Z x u R D i L 2 I u t T B E t D 5 4 v d j S W Z S O N m 2 S C N n / W R 3 t P 5 q L 1 9 9 P H 3 8 f D D Y 6 D 0 5 X 1 z u d X 9 8 u v m s / w z 1 u h t b / c 2 t T W j 0 e 0 8 3 N g a o 3 + 0 V 1 7 J V X c f n j z r f j i f M S U I S S S f A Q r z v 9 2 L 5 I c N c U i c g + c I 4 E S T G z g X 2 S G Y z d i G x L X J U X i s o 5 s w l Q i 0 X B + u X C Q 6 o T B G 4 B E S 0 I n E o X B b J R q Q d g M l m m E 9 Q i K W P R B r a L L g V p b A O g q g r z C M m f R p 5 L c e I O s T l 2 K m H d 1 g I R q m H R S 7 j q P / D Y A 0 R 6 X R b s S F 1 O F N a 5 z p W E + Z x H P t p W 4 I w f w D X C q I S N u s g G H z S c n C o J H n h 4 X G W x A j 6 R e 7 a O y t G p s 4 s V 4 4 u 9 R J + Q z C l i W S w 8 t I D V r + k q i c i l 5 d L b Y 0 C j 3 E q f V h 0 D p 6 m K + Z 7 5 T c F V q x Y r v Q J 4 + R G H I m S E D Y U F q u Q D P n 4 i q C A S E k 4 U j b C 5 2 w u T A J J O Z v W 2 Y B I j 0 T K m c y r D k B J g D m o 8 b / c f V 8 d n x s 7 4 e l E + E F U L H T C Y I E T p L w E o h H C 5 S i t g F l x G P O F h Z W V F X T M G X N h E q 2 B T A O S x Q G m U a 6 K X D X Q 8 y r l a 2 h C X B p R t W + A n I U 4 W h h H Z F o F Z 3 A m Y i Y K e 5 4 d N z o t r 3 q Q P B v V 7 Z Z P d c + z 0 6 r R s g Y k D H G e H R a 3 l s V h n A U g a J p n Q 9 N s e c B B T 8 K 4 n H 2 7 b r d H g W 3 D 3 M P i V u r E Y p U U x k E q W L / 6 R d l 4 b a w r c 7 y W l w b M v Z C C S V U x i 8 u 7 c C F J 3 n g N D H n e 8 M O z j / j h m f E L a H j L C R j Y I T 3 Q o L L 0 m z d p O R + q H O b M V k 5 U O Y g k v u U A z K y E R u 4 t O z B j h + T P j E F 1 z B a Y V y + d e R p f E 2 4 w t D V 2 a T 0 K t D W e C N f g M R S i 5 q N o e H S E h c y y 4 v 2 Q F f 3 8 5 z G g v E q d A 6 d U Y n g E l x G H S o n s 8 L w e T t I o R a U W V U j r E V e k y w 5 h B v j D Z r + 2 R r Z B j k a O Q U Q j Y p C v k W + Q 0 E g Y N N O o r g V P I 8 + g V K P U o G u N r g 3 i G n G D L j W 6 N C j S q K 7 S R K P E o E O N D g 2 6 0 u j K o K l G U 4 N Y S D w j Y 9 k z N j h 4 s r Y V v b x R J 0 x R + P U 0 2 9 a + 2 8 Z t p N H I o A O N D u Y l F k 3 h r Y C g T g i n M 6 N 5 W U q F 7 L q I t N D G l L Z N 1 w 3 T d b v 0 b k 3 n Y 2 m m g j Y E T e m E q J Z O d R U p c F T V 6 y m U q K n V U 7 O 5 V 0 3 8 q p a h i W s p X j b x S 4 P 3 m 3 j f 4 K M m P j J 4 r 4 n 3 a p m b + M D g 4 y Y + N v i k i U 8 M P m v i s / 9 Y Y C l P 4 x u q E H d V E C k Q c x G 8 m W 3 4 i n x S h g / L W N v O h m Z + g 0 4 0 2 j V o 1 y h g 0 J F G 7 w x 6 Z 5 4 s k N 3 q e 6 a a D 0 i 1 X t U a 1 o q 2 D Q 1 N 2 4 Z a 1 Z 2 2 Y c d U R v 1 Q G t l a H L u Z 6 / 0 m r p O 6 1 8 T 1 P N t N r I 4 T f E j r r 2 X 0 8 c b r Q b e / 0 d 3 6 a b D 8 Y q f 6 p L 5 v f W c t W a t W 3 9 q 0 X l j 7 1 r F 1 Z j n W L 9 a v 1 m / W 7 5 0 / O n 9 1 / u 7 8 U 7 r e v V P F f G O 1 r o f 3 / g W x 8 Y L s < / l a t e x i t > Async-RED-SG(w=3360) < l a t e x i t s h a 1 _ b a s e 6 4 = " p c O 0 r c m V W p g Z 0 v 0 c 8 9 0 p u I s Q o h A = " > A A A M T H i c j Z b d b t x E F M f d A q X N F k h B X H H B K G m k V E q W 3 a R s y 0 W l J r t p E i m K Q j 7 a q m y J x t 6 x P Y r t c W b G 2 X U s X / I 0 3 M J r c M 9 7 c I e Q O G N 7 x n a y R V j a 9 c z v n D M f / 3 P G t h 0 H V M h e 7 8 8 7 d z / 6 + J N 7 n 9 5 / s N B 5 + N n n X y w + + v K 1 Y A l 3 y J n D A s b f 2 l i Q g E b k T F I Z k L c x J z i 0 A / L G v h g q + 5 s r w g V l 0 a l M Y / I + x F 5 E X e p g C e h 8 8 d u x J D M p n G x L p J G z f r w z W j / Z z V c f T x + / 2 N w c 9 J 6 c L y 7 3 u v 3 B Y H O w i X r d j e f P B 0 9 V 4 / v + Y K P 3 D P W 7 v e J a t q r r 6 P x R 5 + v x h D l J S C L p B F i I n / q 9 W L 7 P M J f U C U i + M E 4 E i b F z g T 2 S 2 Y x d S G y L H J X X C o o 5 c 4 l Q y 8 X B + m W C A y p T B C 4 B E a 1 I H A q X R b I R a Q d g s h n m E x R i 6 S O R h j Y L b k U p r I M g 6 g r z i E m f R l 7 L M a I O c T l 2 6 u E d F o J R 6 m G R y z j q f 7 e x h o h 0 u q 3 Y k D q c K a 1 z H a s J 8 z i O / b Q t Q Z g / g G s F U Q m b d R A M P m k 5 O F S S v P D w O E t i B P 0 i d + 2 d F S N T Z 5 Y r R 5 d 6 C b 8 h m N J E M l h 5 6 Q G r X 1 L V E 5 H L y 6 W 2 R o H H O J U + L D o H T 9 M V 8 7 3 y m w I r V i x X + o R x c i O O R E k I G w q L V U i G f H x F U E C k J B w p G + F z N h c m g a S c T e t s Q K R H I u V M 5 l U H o C T A H N T 4 X + 6 + r 4 7 P j Z 3 w d C L 8 I C o W O m G w w A l S X g L R C O F y l F b A r D i M + c L C y s o K O u K M u T C J 1 k C m A c n i A N M o V 0 W u G u h F l f I 1 N C E u j a j a N 0 D O Q h w t j C M y r Y I z O B M x E 4 U 9 z 4 4 a n Z Z X P U i e j e p 2 y 6 e 6 5 9 l p 1 W h Z A x K G O M 8 O i l v L 4 j D O A h A 0 z b O h a b Y 8 4 K A n Y V z O v l W 3 2 6 P A t m H u Y X E r d W K x S g r j I B W s X / 2 i b L w 2 1 p U 5 X s t L A + Z e S M G k q p j F 5 V 2 4 k C R v v A a G P G / 4 4 d k H / P D M + A U 0 v O U E D O y Q H m h Q W f r N m 7 S c D 1 U O c 2 Y r J 6 o c R B L f c g B m V k I j 9 5 Y d m L F D 8 m f G o D p m C 8 y r l 8 4 8 j a 8 J N x j a G r u 0 H g X a G k + E a / A Y C l H z U T Q 8 P M R C Z l n x f s i K f v 7 z G F B e p c 6 B U y o x P I L L i A O l R H Z w X g 8 n a Z S i U o s q p P W I K 9 J l h z A D / G G z X 1 s j 2 y B H I 8 c g o h E x y N f I N 0 h o J A y a a V T X g q e R Z 1 C q U W r Q t U b X B n G N u E G X G l 0 a F G l U V 2 m i U W L Q g U Y H B l 1 p d G X Q V K O p Q S w k n p G x 7 B k b H D x Z 2 4 p e 3 q g T p i j 8 e p p t a d 8 t 4 z b S a G T Q v k b 7 8 x K L p v B W Q F A n h N O Z 0 b w s p U J 2 X U R a a G N K 2 6 b r h u m 6 X X q 3 p v O x N F N B G 4 K m d E J U S 6 e 6 i h Q 4 q u r 1 F E r U 1 O q p 2 d x J E 5 / U M j R x L c W r J n 5 l 8 F 4 T 7 x l 8 2 M S H B u 8 2 8 W 4 t c x P v G 3 z U x E c G H z f x s c F n T X z 2 H w s s 5 W l 8 Q x X i r g o i B W I u g j e z D V + R T 8 r w Y R l r 2 9 n Q z G / Q s U Y 7 B u 0 Y B Q w 6 1 O i d Q e / M k w W y W 3 3 P V P M B q d a r W s N a 0 b a h o W n b U K u 6 3 T Z s m 8 q o H 0 o j W 4 t j N 3 O 9 1 8 R 1 U n e b u J 5 n q 4 n V c Y I P a f 2 1 j D 7 c e L 3 R 7 T / t / v D j x v L L 7 e q T + r 7 1 j b V k r V p 9 6 5 n 1 0 t q z j q w z y 7 F + s X 6 1 f r N + 7 / z R + a v z d + e f 0 v X u n S r m K 6 t 1 P b z 3 L 6 Y h g u s = < / l a t e x i t > kG  (x k )k 2 /kG(x 0 )k 2 < l a t e x i t s h a 1 _ b a s e 6 4 = " E 7 4 w d y B u H n / O N f v G m u D 1 0 z G 1 I F M = " > A A A M U n i c j Z b d T t x G F M d N 0 o 8 E a E t a 9 a o 3 I 9 B K R K J k F 0 W q e l E p s C S A h N C W Q B K l D m j s H X t H 2 B 4 z M 2 Z 3 c f w E f Z r e t q / R m 7 5 K r 3 r G 9 h z b L K 1 q C X z 8 O + f M x / + c 8 d p L I 6 5 0 v / / X 0 o O H n 3 z 6 2 e e P H i + v r H 7 x 5 V d r T 7 5 + o 0 Q m f X b u i 0 j I d x 5 V L O I J O 9 d c R + x d K h m N v Y i 9 9 a 6 G x v / 2 h k n F R X K m 5 y n 7 E N M w 4 Q H 3 q Q Z 0 u d Z z P 7 o H K t h 0 Z 1 5 8 c f X U / X i x 8 6 y N + i W 6 X N v o b / f L i y w a g 9 r Y c O p r d P l k 5 V t 3 L P w s Z o n 2 I 6 r U L 4 N + q j / k V G r u R 6 x Y d j P F U u p f 0 Z D l n h B X m n q q I N X V I 6 k U A V N m 0 T T 6 / j q j E d d z A i E R U 5 1 M G q t A J L q V 6 U X g 8 g S V Y x J T P S F q H n s i W s g y 2 C Z B 1 g 2 V i d A T n o S d w I T 7 L J D U b 4 b 3 R Q x O b Y c l g Z B k 8 G x n i z D t b 3 d y Y + 5 L Y R Q v b K 4 l I p Q 0 n c y 7 E s T F Y 7 h 6 h G v Y r E 9 g 8 H E n w O e a F W V E K E W W E n g u K 9 j d W T k y 9 2 e F C Q x 4 m M k 7 g h l N t I C V V x G w + n X T Q w m 7 v l 7 v a h S F Q n I 9 g U U X E I m P 6 v 6 o 4 q 7 A h p X L 1 R M m J L u T x 5 I s h g 3 F 5 S q 0 I B N 6 w 0 j E t G a S G B + T 9 2 w u z i L N p Z g 2 1 Y D M k C U m m N 3 X H Y C y i E p Q 4 3 + F T y b m E N 3 Z i Z y P 1 S R K y o W O B S x w T E y U I j w h t B q l k z A r j 2 S x v N z r 9 c h I C h H A J F Y D P Y 9 Y n k a U J 4 V p c m O Q n + q S b 5 E x C 3 j C z b 4 B S h H T Z N l N 2 L R O z u F M p E K V / i I f t R 4 6 U c 0 g R b 7 f 2 J 2 Y + l 7 k Z 7 X R 8 U Y s j m m R H 5 e 3 j s c X U k Q g 6 L z I h 2 h 2 I u C g Z 3 F a z b 7 b 2 N 1 R Y N s w 9 7 C 8 V T q J 1 B R F S J A K 1 m / + k t z d c m 1 n u l t F 5 a A y j D m 4 T B e L t L q r A I o U u l v g K I p W H J 3 9 S x y d Y V z E 4 4 U g Y O C H 8 o D B d R V 3 3 6 T V f K Q O u G e 2 a q I 6 Q G X p Q g A w X A l P g g U / M P R D 8 W f o M A + 4 B R E 2 S x e h x b d M I g b b 4 o A 3 o 4 B t 8 V g F i F 1 o R M v 3 k + H J C V U 6 z 1 3 N Z j o v n 4 s L F 1 B R l 8 6 H U 6 o p v I K r j G O j R H 5 8 2 Q y n e T I n l R Z 1 S u c V V 5 b L i 2 E G + E d x v 5 5 F H i L f I h 8 R s 4 g h m l g 0 Q a Q s U o h m F j W 9 E F o U I p p b N E d 0 a 9 E t I m m R R H R t 0 T W i x K K m S z O L M k T H F h 0 j u r H o B t H U o i k i E b M Q Z a y e 0 A c H T z e + 8 q l o 9 Y k w F P 7 6 l u 3 a 2 F 0 M 2 7 d o H 9 G R R U f 3 F Z Z M 4 V e B Q J 8 w y W e o e d V K p e y 2 i a z Q 6 J p 3 X b c t 1 2 2 3 9 R a m m 1 C N U 4 E N S V M + Z s a y p a 4 z F U 3 q f j 2 D F s V e P c P N v W 7 j 1 4 0 M b d x I 8 a q N X y E + b O N D x C d t f I L 4 o I 0 P G p n b + A j x q I 1 H i E / b + B T x e R u f / 8 c C K 3 l a 3 1 C l u J u K a U V E Q O C X 2 Y N v y a d V + r D K 9 b x 8 i P M j O r X o J a K X q A C i E 4 v e I 3 q P b x a o b v 0 9 U 8 8 H p F 6 v s Y a N o l 1 H S 9 O u o 1 F 1 r + v Y w 8 5 o X k r 7 n h X P 2 H 1 o m r h f Y = " > A A A M P X i c j Z b N b t w 2 E I C V p D + J t 2 2 c F D 3 1 Q t g x 4 A C u u 2 s U 6 C l A 7 H V i G z C M r W P X Q b q J Q W k p i b A k y i T l 3 b W g J + m 1 f Y 2 + R + 8 9 F r 3 2 2 q E k j q R d t 6 g A W 8 N v Z s j h z F B L N 4 2 4 0 v 3 + 7 / f u P / j o 4 0 8 + f f h o p f f Z 5 1 8 8 X n 3 y 9 E c l M u m x c 0 9 E Q r 5 1 q W I R T 9 i 5 5 j p i b 1 P J a O x G 7 M K 9 G h r 9 x Q 2 T i o v k T M 9 T 9 j 6 m Q c J 9 7 l E N 6 H L 1 M d d M l j L Z f H b 1 7 P n l 6 n p / u 1 8 + Z F k Y 1 M K 6 U z + j y y e 9 r 8 Y T 4 W U x S 7 Q X U a V + G v R T / T 6 n U n M v Y s X K O F M s p d 4 V D V j u C n G l q a s K U j 0 b J J X C Z 8 q E R 6 N v r j M a c T 0 n Y B I x 1 f G k s f J F o l u e b g Q q V 1 A 5 I T H V I V H z 2 B X R k p f B 1 g m 8 b q h M h A 5 5 E n Q M E + 4 x X 1 K v m d 4 T M S i 1 n Z b 4 Q p L B t z t b h G l v u + M b c 0 8 K k 9 v C + l o i A k n T c N 5 N Q V w 8 g m e D c A 2 b 9 Q h M P u k Y e F C R o r Q I p M h S A u O y P t 2 d l T N z b 1 Y Y Q 5 8 H m V x I m M m J F h B 5 Z Q H R r 5 l u S d j 1 9 V o 3 R 1 E g J N c h B F 2 A J Q 7 V 3 V b F Y o I N K 8 P V I R O S L f i x J I t h Q 3 E Z h R Y k p D e M R E x D 1 x G j q 5 t v I f Y s 0 l y K a V M N 8 A x Y Y o z Z X d 0 B K I u o h G z 8 L / M w N M d l Y S d y P l F h l J S B T g Q E O C H G S h G e E F r N 0 n G Y l Y e v W F n Z 2 N g g I y m E D 4 v Y H O h 5 x P I 0 o j w p T J M b g b y o S 7 5 F J s z n C S 8 P 3 Q s i R U y T l X H C p r V z D m c i F a r U F / m o N e h Y N Z M U + X 4 j d 2 z q d 5 G f 1 U J H G 7 E 4 p k V + X L 4 6 G k 9 I E U F C 5 0 U + R L F j A Q c 9 i 9 N q 9 d 1 G 7 s 4 C 2 4 a 1 h + W r y p N I T V G E h F R B / O Y v y c d b Y 9 u Z 4 6 2 i U l A Z x B x U p o t F W r 2 V D 0 U K x l u g K I q W H Z 3 9 i x 2 d o V 3 E 4 y U j Y K C H 8 o D A d W V 3 1 6 L V e q Q 2 u G O 1 a q H a Q G X p k g E w j I Q n / p I e G O q h + D N U m A F u Q Q R N 6 C K w + J Z J x C B b 7 P N m F p A t n i g f 8 R g a 0 f L 9 Z H h y Q p X O 8 7 F m M 5 2 X 4 + L D G F B R l 8 6 D U 6 o p f I I r j 2 O T i f z 4 s p l O 8 2 R O q l z U L p 1 P X F k u N 4 Y V 4 B / F / b o W u Y g 8 i z x E z C K G K L Q o R K Q s U o h m F j W 9 E F g U I J p b N E d 0 a 9 E t I m m R R H R t 0 T W i x K K m S z O L M k T H F h 0 j u r H o B t H U o i k i E b M A 0 1 i N U A c H T z e 6 c l S 0 + k Q Y C n 9 9 y 3 a t 7 S 6 a 7 V u 0 j + j I o q O 7 C k u m 8 K t A o E + Y 5 D P M e d V K Z d p t E 9 l E o 2 r e V d 2 2 V L f d 1 l t a L q Q a l w I Z n K Z 8 w o x k S 1 1 7 K p r U / X o G L Y q 9 e o a b e 9 P G b 5 o 0 t H G T i t d t / B r x Y R s f I j 5 p 4 x P E B 2 1 8 0 K S 5 j Y 8 Q j 9 p 4 h P i 0 j U 8 R n 7 f x + X 8 E W K W n d Y c q k 7 u p m F Z E + A R + m V 2 4 N T 6 v 3 I e V r + v m Q 1 w f 0 a l F r x C 9 w g w g O r H o H a J 3 + G W B 6 t b 3 m X o 9 I H W 8 R h o 2 G e 0 q W j n t K p q s 7 n U V e 9 g Z z U d p 3 7 X J c d u 1 P m z j p q g H b d y s s 9 v G 5 j j B R X q w e G 1 e F i 5 2 t g f f b Q 8 G P + y s v 9 y r 7 9 Q P n a + d N W f T G T j f O y + d Q 2 f k n D u e k z k / O 7 8 4 v / Z + 6 / 3 R + 7 P 3 V 2 V 6 / 1 7 t 8 6 X T e X p / / w O f J H 5 I < / l a t e x i t > iteration (k)  0 500 10 -8 0 500 10 -8 kG(x k )k 2 /kG(x 0 )k 2 < l a t e x i t s h a 1 _ b a s e 6 4 = " E 7 4 w d y B u H n / O N f v G m u D 1 0 z G 1 I F M = " > A A A M U n i c j Z b d T t x G F M d N 0 o 8 E a E t a 9 a o 3 I 9 B K R K J k F 0 W q e l E p s C S A h N C W Q B K l D m j s H X t H 2 B 4 z M 2 Z 3 c f w E f Z r e t q / R m 7 5 K r 3 r G 9 h z b L K 1 q C X z 8 O + f M x / + c 8 d p L I 6 5 0 v / / X 0 o O H n 3 z 6 2 e e P H i + v r H 7 x 5 V d r T 7 5 + o 0 Q m f X b u i 0 j I d x 5 V L O I J O 9 d c R + x d K h m N v Y i 9 9 a 6 G x v / 2 h k n F R X K m 5 y n 7 E N M w 4 Q H 3 q Q Z 0 u d Z z P 7 o H K t h 0 Z 1 5 8 c f X U / X i x 8 6 y N + i W 6 X N v o b / f L i y w a g 9 r Y c O p r d P l k 5 V t 3 L P w s Z o n 2 I 6 r U L 4 N + q j / k V G r u R 6 x Y d j P F U u p f 0 Z D l n h B X m n q q I N X V I 6 k U A V N m 0 T T 6 / j q j E d d z A i E R U 5 1 M G q t A J L q V 6 U X g 8 g S V Y x J T P S F q H n s i W s g y 2 C Z B 1 g 2 V i d A T n o S d w I T 7 L J D U b 4 b 3 R Q x O b Y c l g Z B k 8 G x n i z D t b 3 d y Y + 5 L Y R Q v b K 4 l I p Q 0 n c y 7 E s T F Y 7 h 6 h G v Y r E 9 g 8 H E n w O e a F W V E K E W W E n g u K 9 j d W T k y 9 2 e F C Q x 4 m M k 7 g h l N t I C V V x G w + n X T Q w m 7 v l 7 v a h S F Q n I 9 g U U X E I m P 6 v 6 o 4 q 7 A h p X L 1 R M m J L u T x 5 I s h g 3 F 5 S q 0 I B N 6 w 0 j E t G a S G B + T 9 2 w u z i L N p Z g 2 1 Y D M k C U m m N 3 X H Y C y i E p Q 4 3 + F T y b m E N 3 Z i Z y P 1 S R K y o W O B S x w T E y U I j w h t B q l k z A r j 2 S x v N z r 9 c h I C h H A J F Y D P Y 9 Y n k a U J 4 V p c m O Q n + q S b 5 E x C 3 j C z b 4 B S h H T Z N l N 2 L R O z u F M p E K V / i I f t R 4 6 U c 0 g R b 7 f 2 J 2 Y + l 7 k Z 7 X R 8 U Y s j m m R H 5 e 3 j s c X U k Q g 6 L z I h 2 h 2 I u C g Z 3 F a z b 7 b 2 N 1 R Y N s w 9 7 C 8 V T q J 1 B R F S J A K 1 m / + k t z d c m 1 n u l t F 5 a A y j D m 4 T B e L t L q r A I o U u l v g K I p W H J 3 9 S x y d Y V z E 4 4 U g Y O C H 8 o D B d R V 3 3 6 T V f K Q O u G e 2 a q I 6 Q G X p Q g A w X A l P g g U / M P R D 8 W f o M A + 4 B R E 2 S x e h x b d M I g b b 4 o A 3 o 4 B t 8 V g F i F 1 o R M v 3 k + H J C V U 6 z 1 3 N Z j o v n 4 s L F 1 B R l 8 6 H U 6 o p v I K r j G O j R H 5 8 2 Q y n e T I n l R Z 1 S u c V V 5 b L i 2 E G + E d x v 5 5 F H i L f I h 8 R s 4 g h m l g 0 Q a Q s U o h m F j W 9 E F o U I p p b N E d 0 a 9 E t I m m R R H R t 0 T W i x K K m S z O L M k T H F h 0 j u r H o B t H U o i k i E b M Q Z a y e 0 A c H T z e + 8 q l o 9 Y k w F P 7 6 l u 3 a 2 F 0 M 2 7 d o H 9 G R R U f 3 F Z Z M 4 V e B Q J 8 w y W e o e d V K p e y 2 i a z Q 6 J p 3 X b c t 1 2 2 3 9 R a m m 1 C N U 4 E N S V M + Z s a y p a 4 z F U 3 q f j 2 D F s V e P c P N v W 7 j 1 4 0 M b d x I 8 a q N X y E + b O N D x C d t f I L 4 o I 0 P G p n b + A j x q I 1 H i E / b + B T x e R u f / 8 c C K 3 l a 3 1 C l u J u K a U V E Q O C X 2 Y N v y a d V + r D K 9 b x 8 i P M j O r X o J a K X q A C i E 4 v e I 3 q P b x a o b v 0 9 U 8 8 H p F 6 v s Y a N o l 1 H S 9 O u o 1 F 1 r + v Y w 8 5 o X k r 7 n h X P 2 H 1 o m r h f Y = " > A A A M P X i c j Z b N b t w 2 E I C V p D + J t 2 2 c F D 3 1 Q t g x 4 A C u u 2 s U 6 C l A 7 H V i G z C M r W P X Q b q J Q W k p i b A k y i T l 3 b W g J + m 1 f Y 2 + R + 8 9 F r 3 2 2 q E k j q R d t 6 g A W 8 N v Z s j h z F B L N 4 2 4 0 v 3 + 7 / f u P / j o 4 0 8 + f f h o p f f Z 5 1 8 8 X n 3 y 9 E c l M u m x c 0 9 E Q r 5 1 q W I R T 9 i 5 5 j p i b 1 P J a O x G 7 M K 9 G h r 9 x Q 2 T i o v k T M 9 T 9 j 6 m Q c J 9 7 l E N 6 H L 1 M d d M l j L Z f H b 1 7 P n l 6 n p / u 1 8 + Z F k Y 1 M K 6 U z + j y y e 9 r 8 Y T 4 W U x S 7 Q X U a V + G v R T / T 6 n U n M v Y s X K O F M s p d 4 V D V j u C n G l q a s K U j 0 b J J X C Z 8 q E R 6 N v r j M a c T 0 n Y B I x 1 f G k s f J F o l u e b g Q q V 1 A 5 I T H V I V H z 2 B X R k p f B 1 g m 8 b q h M h A 5 5 E n Q M E + 4 x X 1 K v m d 4 T M S i 1 n Z b 4 Q p L B t z t b h G l v u + M b c 0 8 K k 9 v C + l o i A k n T c N 5 N Q V w 8 g m e D c A 2 b 9 Q h M P u k Y e F C R o r Q I p M h S A u O y P t 2 d l T N z b 1 Y Y Q 5 8 H m V x I m M m J F h B 5 Z Q H R r 5 l u S d j 1 9 V o 3 R 1 E g J N c h B F 2 A J Q 7 V 3 V b F Y o I N K 8 P V I R O S L f i x J I t h Q 3 E Z h R Y k p D e M R E x D 1 x G j q 5 t v I f Y s 0 l y K a V M N 8 A x Y Y o z Z X d 0 B K I u o h G z 8 L / M w N M d l Y S d y P l F h l J S B T g Q E O C H G S h G e E F r N 0 n G Y l Y e v W F n Z 2 N g g I y m E D 4 v Y H O h 5 x P I 0 o j w p T J M b g b y o S 7 5 F J s z n C S 8 P 3 Q s i R U y T l X H C p r V z D m c i F a r U F / m o N e h Y N Z M U + X 4 j d 2 z q d 5 G f 1 U J H G 7 E 4 p k V + X L 4 6 G k 9 I E U F C 5 0 U + R L F j A Q c 9 i 9 N q 9 d 1 G 7 s 4 C 2 4 a 1 h + W r y p N I T V G E h F R B / O Y v y c d b Y 9 u Z 4 6 2 i U l A Z x B x U p o t F W r 2 V D 0 U K x l u g K I q W H Z 3 9 i x 2 d o V 3 E 4 y U j Y K C H 8 o D A d W V 3 1 6 L V e q Q 2 u G O 1 a q H a Q G X p k g E w j I Q n / p I e G O q h + D N U m A F u Q Q R N 6 C K w + J Z J x C B b 7 P N m F p A t n i g f 8 R g a 0 f L 9 Z H h y Q p X O 8 7 F m M 5 2 X 4 + L D G F B R l 8 6 D U 6 o p f I I r j 2 O T i f z 4 s p l O 8 2 R O q l z U L p 1 P X F k u N 4 Y V 4 B / F / b o W u Y g 8 i z x E z C K G K L Q o R K Q s U o h m F j W 9 E F g U I J p b N E d 0 a 9 E t I m m R R H R t 0 T W i x K K m S z O L M k T H F h 0 j u r H o B t H U o i k i E b M A 0 1 i N U A c H T z e 6 c l S 0 + k Q Y C n 9 9 y 3 a t 7 S 6 a 7 V u 0 j + j I o q O 7 C k u m 8 K t A o E + Y 5 D P M e d V K Z d p t E 9 l E o 2 r e V d 2 2 V L f d 1 l t a L q Q a l w I Z n K Z 8 w o x k S 1 1 7 K p r U / X o G L Y q 9 e o a b e 9 P G b 5 o 0 t H G T i t d t / B r x Y R s f I j 5 p 4 x P E B 2 1 8 0 K S 5 j Y 8 Q j 9 p 4 h P i 0 j U 8 R n 7 f x + X 8 E W K W n d Y c q k 7 u p m F Z E + A R + m V 2 4 N T 6 v 3 I e V r + v m Q 1 w f 0 a l F r x C 9 w g w g O r H o H a J 3 + G W B 6 t b 3 m X o 9 I H W 8 R h o 2 G e 0 q W j n t K p q s 7 n U V e 9 g Z z U d p 3 7 X J c d u 1 P m z j p q g H b d y s s 9 v G 5 j j B R X q w e G 1 e F i 5 2 t g f f b Q 8 G P + y s v 9 y r 7 9 Q P n a + d N W f T G T j f O y + d Q 2 f k n D u e k z k / O 7 8 4 v / Z + 6 / 3 R + 7 P 3 V 2 V 6 / 1 7 t 8 6 X T e X p / / w O f J H 5 I < / l a t e x i t > iteration (k) < l a t e x i t s h a 1 _ b a s e 6 4 = " S S V Y H V / Q R y a w K N H R l M 0 P Y d 6 H 7 / 4 = " > A A A M T H i c j Z b d b t x E F M f d A q X N F k h B X C G h U d J I q Z S E 3 a W i c F G p y W 6 a R I q i J U 1 I 1 W 6 J x t 6 x P Y o 9 4 8 y M s 7 u x f M f T c A u v w Q P w H F w i J M 7 Y n r G d b B G W d j 3 z O + f M x / + c s e 0 m E Z W q 2 / 3 z z t 0 P P v z o 3 s f 3 H y x 1 H n 7 y 6 W f L j z 7 / S f J U e O T U 4 x E X r 1 0 s S U Q Z O V V U R e R 1 I g i O 3 Y i c u R c D b T + 7 I k J S z k 7 U P C H v Y h w w 6 l M P K 0 D n y 1 + P F Z k p 6 W X b c s 6 8 z e P d 4 e b O X r 7 + m J 1 7 z / u P n 5 w v r 3 a 3 n v a 7 v W f f o + 5 W t 7 i Q J t / 1 v / 0 B 9 S q y 6 l T X 6 P x R 5 8 v x h H t p T J j y I i z l 2 1 4 3 U e 8 y L B T 1 I p I v j V N J E u x d 4 I B k L u c X C r s y R + W 1 h h L B f S L 1 a n G 0 e Z n i i K o 5 A p e I y F Y k j q X P m W p E u h G Y X I 7 F B M V Y h U j O Y 5 d H t 6 I 0 N k E Q d Y U F 4 y q k L G g 5 M u o R X 2 C v H t 7 j M R i V G R b 5 X K D e N / 0 N R J S 3 1 Y q N q S e 4 l j o 3 s Y b w Q O A k n L c l i P M H c K 0 h q m C z H o L B J y 0 H j y q S F x 6 B 4 G m C o F + k r r 2 z Y m T q z X L t 6 N M g F T c E 0 5 o o D i s v P W D 1 K 7 p 4 G L m 8 X G l r F A V c U B X C o n P w t F 2 5 2 C u / K b B m x X J V S L g g N + I I S 2 P Y U F y s Q n E U 4 i u C I q I U E U j b i F i w u T i N F B V 8 W m c D I g P C t D N Z V B 2 A 0 g g L U O N / u Y e h P j 0 3 d i L m E x l G r F j o h M M C J 0 h 7 S U Q Z w u U o r Y B Z c R b z p a W 1 t T U 0 E p z 7 M I n R Q M 0 j k i U R p i z X R a 4 b 6 H m V 8 g 0 0 I T 5 l V O 8 b o O A x Z k t j R q Z V c A Z n I u G y s O f Z q N F p e d W D 5 N m w b r d 8 q n u e n V S N l j U i c Y z z 7 L C 4 t S w e F z w C Q e d 5 N r D N l g c c 9 D R O y t m 3 6 3 Z 7 F N g 2 z D 0 o b q V O P N F J 4 Q K k g v X r H 8 v G G 2 N T m e O N v D R g E c Q U T L q K e V L e p Q 9 J C s Y b Y M j z h h + e v c c P z 6 x f R O N b T s D A D u m B B l W l 3 6 J J y / l Q 5 b B g t n K i y k G m y S 0 H Y H Y l l P m 3 7 M C s H Z I / s w b d s V v g Q b 1 0 H h h 8 T Y T F 0 D b Y p / U o 0 D Z 4 I n 2 L x 1 C I h g / Z 4 O g I S 5 V l x e s h K / r 5 z 2 N A e Z U 6 D 0 6 p w v A I L i M O t R L Z 4 X k 9 n K J s j k o t q p D W I 6 5 I l x v D D P C H 7 X 5 d g 1 y L P I M 8 i 4 h B x K L Q o N A i a Z C 0 a G Z Q X Q u B Q Y F F c 4 P m F l 0 b d G 2 R M E h Y d G n Q p U X M o L p K U 4 N S i w 4 N O r T o y q A r i 6 Y G T S 3 i M Q m s j G X P 2 u D g q d p W 9 P J G n X B N 4 d c 1 b N v 4 b l u 3 o U F D i w 4 M O l i U W D S F t w K C O i G C z q z m Z S k V s p s i M k J b 0 7 x t u m 6 Y r t u l d 2 u 6 E C s 7 F b Q h a E o n R L d M q q t I i V l V r y d Q o r Z W T + z m X j X x q 1 q G J q 6 l e N n E L y 3 e b + J 9 i 4 + a + M j i v S b e q 2 V u 4 g O L R 0 0 8 s v i 4 i Y 8 t P m 3 i 0 / 9 Y Y C l P 4 x u q E H d d E i U R 9 x G 8 m V 3 4 i H x S h g / K W N f N B n Z + i 4 4 N 2 r V o 1 y p g 0 Z F B b y x 6 Y 5 8 s k N 3 q e 6 a a D 0 i 1 X t 0 a 1 I q 2 D Q 1 N 2 4 Z a 1 Z 2 2 Y c d W R v 1 Q G r p G H L e Z 6 / 0 m r p O 6 1 8 T 1 P N t N r I 8 T f E i b r 2 X 0 / s Z Z f 6 v 3 d K v X + 7 G / + m K n + q a + 7 3 z l r D j r T s 9 5 5 r x w 9 p 2 R c + p 4 z i / O r 8 5 v z u + d P z p / d f 7 u / F O 6 3 r 1 T x X z h t K 6 H 9 / 4 F R Q m C / w = = < / l a t e x i t > Async-RED-BG(nc = 2) < l a t e x i t s h a 1 _ b a s e 6 4 = " W R 0 e n B z k q r s 5 b X U o r + / F + I o b K / k = " > A A A M T H i c j Z b d b t s 2 F M f V b u v a u N v S D b s a M B B J A 7 R A 4 t l p l v a m Q B M 7 T Q I E g Z c m S 9 G 5 C y i Z k o h I p E J S s R 1 B d 3 u a 3 W 6 v s Q f Y c + x y G L B D S a S k J B 0 m w B b 5 O + f w 4 3 8 O J b l J R K X q 9 f 6 8 c / e j j z + 5 9 + n 9 B w u d h 5 9 9 / s X i o y 9 / l D w V H j n x e M T F W  x d L E l F G T h R V E X m b C I J j N y K n 7 v l A 2 0 8 v i Z C U s 2 M 1 T 8 j 7 G A e M + t T D C t D Z 4 r d j R W Z K e t m W n D N v 7 W h n u L a 9 m z 9 5 z M 6 8 l x u P n 5 4 t L v e 6 / c 3 N Z 5 v P U K + 7 / u L F 5 o Z u f N / f X O 8 9 R / 1 u r 7 i W n e o a n T 3 q f D 2 e c C + N C V N e h K X 8 q d 9 L 1 P s M C 0 W 9 i O Q L 4 1 S S B H v n O C C Z y / m 5 w q 7 M U X m t o E R w n 0 i 9 W h y t X a Q 4 o m q O w C U i s h W J Y + l z p h q R b g Q m l 2 M x Q T F W I Z L z 2 O X R j S i N T R B E X W L B u A o p C 1 q O j H r E F 9 i r h / d 4 D E Z l h k U + F 6 j / 3 f o q I s r r t m J j 6 g m u p c 5 N r C E 8 E D g J 5 2 0 J 4 v w B X C u I K t i s h 2 D w S c v B o 4 r k h U c g e J o g 6 B e p a + + s G J l 6 s 1 w 7 + j R I x T X B t C a K w 8 p L D 1 j 9 k i 4 e R i 4 u l t o a R Q E X V I W w 6 B w 8 b V f e 7 p V f F 1 i z Y r k q J F y Q a 3 G E p T F s K C 5 W o T g K 8 S V B E V G K C K R t R N y y u T i N F B V 8 W m c D I g P C t D O 5 r T o A p R E W o M b / c g 9 D f X q u 7 U T M J z K M W L H Q C Y c F T p D 2 k o g y h M t R W g G z 4 i z m C w s r K y t o J D j 3 Y R K j g Z p H J E s i T F m u i 1 w 3 0 M s q 5 a t o Q n z K q N 4 3 Q M F j z B b G j E y r 4 A z O R M J l Y c + z U a P T 8 q o H y b N h 3 W 7 5 V P c 8 O 6 4 a L W t E 4 h j n 2 U F x a 1 k 8 L n g E g s 7 z b G C b L Q 8 4 6 G m c l L N v 1 e 3 2 K L B t m H t Q 3 E q d e K K T w g V I B e v X P W d H P f x 4 D y q v U e X B K F Y Z H c B l x o J X I D s 7 q 4 R R l c 1 R q U Y W 0 H n F F u t w Y Z o A / b P f r G u R a 5 B n k W U Q M I h a F B o U W S Y O k R T O D 6 l o I D A o s m h s 0 t + j K o C u L h E H C o g u D L i x i B t V V m h q U W n R g 0 I F F l w Z d W j Q 1 a G o R j 0 l g Z S x 7 1 g Y H T 9 W 2 o p c 3 6 o R r C r + e Y V v G d 8 u 6 D Q 0 a W r R v 0 P 5 t i U V T e C s g q B M i 6 M x q X p Z S I b s p I i O 0 N c 3 b p q u G 6 a p d e j e m C 7 G y U 0 E b g q Z 0 Q n T L p L q K l J h V 9 X o M J W p r 9 d h u 7 k 0 T v 6 l l a O J a i t d N / N r i v S b e s / i w i Q 8 t 3 m 3 i 3 V r m J t 6 3 e N T E I 4 u P m v j I 4 p M m P v m P B Z b y N L 6 h C n G f S K I k 4 j 6 C N 7 M L H 5 F P y / B B G e u 6 2 c D O b 9 G R Q T s W 7 V g F L D o 0 6 J 1 F 7 + y T B b J b f c 9 U 8 w G p 1 q t b g 1 r R t q G h a d t Q q 7 r d N m z b y q g f S k P X i O M 2 c 7 3 X x H V S d 5 u 4 n m e r i f V x g g 9 p 8 7 W M P t w 4 X e / 2 N 7 r 9 / g / r y 6 + 2 q 2 / q + 8 4 3 z p L z x O k 7 z 5 1 X z p 4 z c k 4 c z / n F + d X 5 z f m 9 8 0 f n r 8 7 f n X 9 K 1 7 t 3 q p i v n N b 1 8 N 6 / s N 2 D H g = = < / l a t e x i t > Async-RED-BG(nc = 4) < l a t e x i t s h a 1 _ b a s e 6 4 = " f x h c r 0 N p 6 b j q B w F u r o 2 A T a 6 F A h g = " > A A A M T H i c j Z b d T t x G F M e d t E 0 T N m 1 J q 1 5 V q k Y Q J C L B d p c g a C 4 i B X Y J I C G 0 J V C i d F M 0 9 o 7 t E f a M m R m z a y z f 9 W l 6 2 7 5 G H 6 D P 0 c u q U o 8 / Z m z D p q q l X c / 8 z j n z 8 T 9 n b N t R Q K X q 9 f 6 8 d / + j j z 9 5 8 O n D R w u d x 5 9 9 / s X i k y 9 / l D w W D j l z e M D F W x t L E l B G z h R V A X k b C Y J D O y D n 9 u U g t 5 9 f E y E p Z 6 c q i c j 7 E H u M u t T B C t D F 4 r d j R W Z K O u m O T J i z f r I 3 X N / d z 1 a f s g v n 5 d b T Z x e L y 7 3 u 9 8 + 3 t / p b q N f d f N H f f r E N j X 7 v + e b m B u p 3 e 8 W 1 b F X X 6 O J J 5 + v x h D t x S J h y A i z l T / 1 e p N 6 n W C j q B C R b G M e S R N i 5 x B 5 J b c 4 v F b Z l h s p r B U W C u 0 T m q 8 X B + l W M A 6 o S B C 4 B k a 1 I H E q X M 9 W I t A M w 2 R y L C Q q x 8 p F M Q p s H d 6 J y r I M g 6 h o L x p V P m d d y Z N Q h r s B O P b z D Q z A q P S x y u U D 9 7 z b W E F F O t x U b U k f w X O p M x 2 r C P Y E j P 2 l L E G a P 4 F p B V M F m H Q S D T 1 o O D l U k K z w 8 w e M I Q b 9 I X X t n x c j U m W W 5 o 0 u 9 W N w S L N d E c V h 5 6 Q G r X 8 q L h 5 G r q 6 W 2 R o H H B V U + L D o D T 9 O V 8 7 2 y 2 w L n r F i u 8 g k X 5 F Y c Y X E I G w q L V S i O f H x N U E C U I g L l N i L m b C 6 M A 0 U F n 9 b Z g E i P s N y Z z K s O Q H G A B a j x v 9 x 9 P z 8 9 t 3 Y i k o n 0 A 1 Y s d M J h g R O U e 0 l E G c L l K K 2 A W X E W s 4 W F l Z U V N B K c u z C J 1 k A l A U m j A F O W 5 U W e N 9 D L K u V r a E J c y m i + b 4 C C h 5 g t j B m Z V s E p n I m I y 8 K e p a N G p + V V D 5 K l w 7 r d 8 q n u W X p a N V r W g I Q h z t K j 4 t a y O F z w A A R N s n R g m i 0 P O O h x G J W z 7 9 T t 9 i i w b Z h 7 U N x K n X i U J 4 U L k A r W n / 9 Y O l 4 b 6 8 o c r 2 W l A Q s v p G D K q 5 h H 5 V 2 6 k C R v v A a G L G v 4 4 d k H / P D M + A U 0 v O M E D O y Q H m h Q V f r N m 7 S c D 1 U O c 2 Y r J 6 o c Z B z d c Q B m V k K Z e 8 c O z N g h + T N j y D t m C 9 y r l 8 4 9 j W + I M B j a G r u 0 H g X a G k + k a / A Y C l H z I R s c H 2 O p 0 r R 4 P a R F P / t 5 D C i r U u f A K V U Y H s F l x F G u R H p 0 U Q + n K E t Q q U U V 0 n r E F e m y Q 5 g B / r D Z r 6 2 R b Z C j k W M Q 0 Y g Y 5 G v k G y Q 1 k g b N N K p r w d P I M y j R K D H o R q M b g 4 R G w q A r j a 4 M Y h r V V R p r F B t 0 p N G R Q d c a X R s 0 1 W h q E A + J Z 2 Q s e 8 Y G B 0 / V t q K X N e q E 5 x R + P c 1 2 t O + O c R t q N D T o U K P D e Y l F U 3 g r I K g T I u j M a F 6 W U i G 7 L i I t t D E l b d N N w 3 T T L r 0 7 0 / l Y m a m g D U F T O i F 5 S 6 e 6 i p S Y V f V 6 C i V q a v X U b O 5 N E 7 + p Z W j i W o r X T f z a 4 I M m P j D 4 u I m P D d 5 v 4 v 1 a 5 i Y + N H j U x C O D T 5 r 4 x O C z J j 7 7 j w W W 8 j S + o Q p x V y V R E n E X w Z v Z h o / I Z 2 X 4 o I y 1 7 X R g 5 j f o R K M 9 g / a M A g Y d a / T O o H f m y Q L Z r b 5 n q v m A V O v N W 4 N a 0 b a h o W n b U K u 6 2 z b s m s q o H 0 p D W 4 t j N 3 N 9 0 M R 1 U v e b u J 5 n p 4 n z 4 w Q f 0 v p r G X 2 4 c b 7 R 7 W 9 2 + / 0 f N p Z f 7 V b f 1 A + t b 6 w l a 9 X q W 9 v W K + v A G l l n l m P 9 Y v 1 q / W b 9 3 v m j 8 1 f n 7 8 4 / p e v 9 e 1 X M V 1 b r e v z g X w O C g y U = < / l a t e x i t > Async-RED-BG(nc = 6) < l a t e x i t s h a 1 _ b a s e 6 4 = " t + i a V n L l d G 1 3 a x t Q u h T J 2 2 J 9 c f w = " > A A A M T H i c j Z b d b t s 2 F M f V b u v a u N v S D b s a M B B J A 6 R A k t n Z R 9 O L A k 3 s N A k Q B F 6 a N E X n L q B k S i I i k Q p J x X Y E 3 e 1 p d r u 9 x h 5 g z 7 H L Y c A O J Z G S E n e Y A F v k 7 5 z D j / 8 5 l O Q m E Z W q 2 / 3 z z t 0 P P v z o 3 s f 3 H y x 0 H n 7 y 6 W e L j z 5 / L X k q P H L q 8 Y i L N y 6 W J K K M n C q q I v I m E Q T H b k T O 3 I u + t p 9 d E S E p Z y d q l p B 3 M Q 4 Y 9 a m H F a D z x a 9 H i k y V 9 L J t O W P e + v H u Y H 1 n L 1 9 9 z M 6 9 5 1 u P n 5 w v L n c 3 n n 7 7 / d a z Z 6 i 7 0 S 0 u 3 e j 9 0 O t u o V 5 F l p 3 q G p 4 / 6 n w 5 < l a t e x i t s h a 1 _ b a s e 6 4 = " J 3 b g 6 5 h 5 4 G D A w Z q 8 7 E + R u q O x J 3 A = " > A A A M R n i c j Z b d b t s 2 F M f V 7 q u N u y 3 d s I t h N 0 S C A C m Q e r b T Z d n F g C Z 2 m g Q I A i 8 f b d G 6 C y i Z k o h I o k J S s R V B 2 N P s d n u N v c J e Y n f D b n c o i Z S U u M M E 2 C J / 5 x x + / M + h J D s O q J C 9 3 p / 3 7 n / w 4 U c f f / L g 4 V L n 0 a e f f b 7 8 + I u X g i X c I e c O C x h / b W N B A h q R c 0 l l Q F 7 H n O D Q D s g r + 3 K o 7 K + u C R e U R W c y j c m 7 E H s R d a m D J a C L 5 a 8 n k s y l c L L T N H K e n u y N 8 v X t p w 7 j 5 M n F 8 m q v u 7 W 9 v f l s g H r d w d b W Z l 8 1 e p t b g + / 6 q N / t F d e q V V 3 j i 8 e d r y Z T 5 i Q h i a Q T Y C H e 9 n u x f J d h L q k T k H x p k g g S Y + c S e y S z G b u U 2 B Y 5 K q 8 1 F H P m E q E W i o O n V w k O q E w R u A R E t C J x K F w W y U a k H Y D J Z p h P U Y i l j 0 Q a 2 i y 4 E 6 W w D o K o a 8 w j J n 0 a e S 3 H i D r E 5 d i p h 3 d Y C E a p h 0 U u 4 6 j / 7 W A D E e l 0 W 7 E h d T h T K u c 6 V h P m c R z 7 a V u C M H 8 I 1 x q i E j b r I B h 8 2 n J w q C R 5 4 e F x l s Q I + k X W 2 j s r R q b O P F e O L v U S f k s w p Y l k s P L S A 1 a / o u o m I l d X K 2 2 N A o 9 x K n 1 Y d A 6 e p i s W e + W 3 B V a s W K 7 0 C V T Q r T g S J S F s K C x W I R n y 8 T V B A Z G S c K R s h C / Y X J g E k n I 2 q 7 M B k R 6 J l D N Z V B 2 A k g B z U O N / u f u + O j i 3 d s L T q f C D q F j o l M E C p 0 h 5 C U Q j h M t R W g H z 4 h j m S 0 t r a 2 t o z B l z Y R K t g U w D k s U B p l G u i l w 1 0 I 9 V y j f Q l L g 0 o m r f A D k L c b Q 0 i c i s C s 7 g T M R M F P Y 8 G z c 6 L a 9 6 k D w b 1 e 2 W T 3 X P s 7 O q 0 b I G J A x x n h 0 V t 5 Y F H g U s A E H T P B u a Z s s D D n o S x u X s O 3 W 7 P Q p s G + Y e F r d S J x a r p D A O U s H 6 1 S / K J h s T X Z m T j b w 0 Y O 6 F F E y q i l l c 3 o U L S f I m G 2 D I 8 4 Y f n r / H D 8 + N X 0 D D O 0 7 A w A 7 p g Q a V p d + i S c v 5 U O W w Y L Z y o s p B J P E d B 2 B m J T R y 7 9 i B G T s k f 2 4 M q m O 2 w L x 6 6 c z T + I Z w g 6 G t s U v r U a C t 8 V S 4 B k + g E D U f R c P j Y y x k l h V v h q z o 5 z 9 P A O V V 6 h w 4 p R L D I 7 i M O F J K Z E c X 9 X C S R i k q t a h C W o + 4 I l 1 2 C D P A H z b 7 t T W y D X I 0 c g w i G h G D f I 1 8 g 4 R G w q C 5 R n U t e B p 5 B q U a p Q b d a H R j E N e I G 3 S l 0 Z V B k U Z 1 l S Y a J Q Y d a X R k 0 L V G 1 w b N N J o Z x E L i G R n L n r H B w Z O 1 r e j l j T p h i s K v p 9 m O 9 t 0 x b i O N R g Y d a n S 4 K L F o B m 8 F B H V C O J 0 b z c t S K m T X R a S F N q a 0 b b p p m G 7 a p X d n O h 9 L M x W 0 I W h G p 0 S 1 d K q r S I G j q l 7 P o E R N r Z 6 Z z Z 0 2 8 W k t Q x P X U r x o 4 h c G H z T x g c H H T X x s 8 H 4 T 7 9 c y N / G h w e M m H h t 8 0 s Q n B p 8 3 8 f l / L L C U p / E N V Y i 7 L o g U i L k I 3 s w 2 f D 8 + K c O H Z a x t Z 0 M z v 0 E n G u 0 Z t G c U M O h Y o z c G v T F P F s h u 9 T 1 T z Q e k W q 9 q D W t F 2 4 a G p m 1 D r e p u 2 7 B r K q N + K I 1 s L Y 7 d z P V B E 9 d J 3 W / i e p 6 d J l b H C T 6 k 9 d c y e n / j 5 a D b f 9 b 9 4 a f B 6 v P d 6 p P 6 g f W N t W K t W 3 3 r e + u 5 d W C N r X P L s X 6 x f r V + s 3 7 v / N H 5 q / N 3 5 5 / S 9 f 6 9 K u Z L q 3 U 9 s v 4 F g k a B x A = = < / l a t e x i t > 0 2500 time (second) e I j i 0 6 X l V Y M o N f B Q J 9 w i S f o + Z V K 5 W y 2 y a y Q q N r 0 X X d t V x 3 3 d Z b m i 6 k G q c C G 5 J m f M q M Z U t d Z y q a 1 P 1 6 D i 2 K v X q O m z t r 4 7 N G h j Z u p H j Z x i 8 R H 7 X x E e J R G 4 8 Q H 7 b x Y S N z G x 8 j H r f x G P F p G 5 8 i v m j j i / 9 Y Y C V P 6 x u q F H d L M a 2 I 8 A n 8 M r v w s f i s S h 9 W u a 6 b D 3 F + R K c W v U D 0 A h V A N L L o D a I 3 + G a B 6 t b f M / V 8 Q O r 1 G m v Y K N p 1 t D T t O h p V 9 7 u O f e y M 5 q V 0 4 F p x 3 H a t j 9 q 4 K e p h G z f z 7 L W x O U 7 w I T 2 4 / 9 m 8 b L z a 3 R l 8 u / P 9 j 7 s b z / f r T + p H z l f O u r P l D J z v n O f O k T N 2 L h z P i Z y f n V + c X 3 u / 9 f 7 o / d n 7 q w p 9 + K D O + c L p X L 2 / / w G x J X q 7 < / l a t e x i t > Gm-R ED(1 -core ) < l a t e x i t s h a 1 _ b a s e 6 4 = " + N T 2 4 K 9 P w Z N 8 q Z N m l d Q V B 1 j j c H A = " > A A A M R H i c j Z b d b t s 2 F M f V 7 q u N 9 5 F u G H a x G y J B g B R I P D t L l / V i Q B M 7 T Q I E g Z c m b d G 5 C y i Z k o h I p E J S s R 1 B T 7 P b 7 T X 2 D n u H 3 Q 2 7 H X Y o i Z S U u M M E 2 C J / 5 x x + / M + h J D e J q F S 9 3 h / 3 7 r / 3 / g c f f v T g 4 V L n 4 0 8 + / W z 5 0 e c v J U + F R 8 4 9 H n H x 2 s W S R J S R c 0 V V R F 4 n g u D Y j c g r 9 3 K g 7 a + u i Z C U s z M 1 T 8 j b G A e M + t T D C t D F 8 l d j R W Z K e t l B v H m 6 P 8 z X + 5 s e F + T x x f J q r / u 0 v 9 P f 2 U K 9 7 v Z 3 v W + / 3 4 b G k + 2 d r S f b q N / t F d e q U 1 2 j i 0 e d L 8 c T 7 q U x Y c q L s J Q / 9 X u J e p t h o a g X k X x p n E q S Y O 8 S B y R z O b 9 U 2 J U 5 K q 8 1 l A j u E 6 m X i a P N q x R H V M 0 R u E R E t i J x L H 3 O V C P S j c D k c i w m K M Y q R H I e u z y 6 E 6 W x C Y K o a y w Y V y F l Q c u R U Y / 4 A n v 1 8 B 6 P w a j M s M j n A v W / 2 d p A R H n d V m x M P c G 1 x r m J N Y Q H A i f h v C 1 B n D + E a w 1 R B Z v 1 E A w + a T l 4 V J G 8 8 A g E T x M E / S J n 7 Z 0 V I 1 N v l m t H n w a p u C W Y 1 k R x W H n p A a t f 0 V X D y N X V S l u j K O C C q h A W n Y O n 7 c r F X v l t g T U r l q t C A h  G n M v j Q l T X o S l / K n X T d S 7 D A t F v Y j k C 6 N U k g R 7 F z g g m c v 5 h c K u z F F 5 r a B E c J 9 I v V o c r V + m O K J q h s A l I r I V i W P p c 6 Y a k W 4 E J p d j M U Y x V i G S s 9 j l 0 a 0 o j U 0 Q R F 1 h w b g K K Q t a j o x 6 x B f Y q 4 f 3 e A x G Z Y Z F P h e o 9 8 3 m G i L K 2 2 j F x t Q T X E u d m 1 h D e C B w E s 7 a E s T 5 A 7 h W E F W w W Q / B 4 O O W g 0 c V y Q u P Q P A 0 Q d A v U t f e W T E y 9 a a 5 d v R p k I o b g m l N F I e V l x 6 w + i V d P I x c X i 6 1 N Y o C L q g K Y d E 5 e N q u n O + V 3 x R Y s 2 K 5 K i R c k B t x h K U x b C g u V q E 4 C v E V Q R F R i g i k b U T M 2 V y c R o o K P q m z A Z E B Y d q Z z K s O Q G m E B a j x v 9 z D U J + e G z s R s 7 E M I 1 Y s d M x h g W O k v S S i D O F y l F b A t D i L + c L C y s o K G g r O f Z j E a K B m E c m S C F O W 6 y L X D f S 8 S v k a G h O f M q r 3 D V D w G L O F E S O T K j i D M 5 F w W d j z b N j o t L z q Q f J s U L d b P t U 9 z 0 6 q R s s a k T j G e X Z Y 3 F o W j w s e g a C z P O v b Z s s D D n o a J + X s 2 3 W 7 P Q p s G + b u F 7 d S J 5 7 o p H A B U s H 6 9 Y 9 l o 7 W R q c z R W l 4 a s A h i C i Z d x T w p 7 9 K H J A W j N T D k e c M P T 9 / j h 6 f W L 6 L x L S d g Y I f 0 Q I O q 0 m / e p O V 8 q H K Y M 1 s 5 U e U g 0 + S W A z C 7 E s r 8 W 3 Z g 1 g 7 J n 1 q D 7 t g t 8 K B e O g 8 M v i b C Y m g b 7 N N 6 F G g b P J a + x S M o R M M H r H 9 0 h K X K s u L 1 k B X 9 / O c R o L x K n Q e n V G F 4 B J c R h 1 q J 7 P C 8 H k 5 R N k O l F l V I 6 x F X p M u N Y Q b 4 w 3 a / r k G u R Z 5 B n k X E I G J R a F B o k T R I W j Q 1 q K 6 F w K D A o p l B M 4 u u D b q 2 S B g k L L o 0 6 N I i Z l B d p a l B q U W H B h 1 a d G X Q l U U T g y Y W 8 Z g E V s a y Z 2 1 w 8 F R t K 3 p 5 o 0 6 4 p v D r G r Z t f L e t 2 8 C g g U U H B h 3 M S y y a w F s B Q Z 0 Q Q a d W 8 7 K U C t l N E R m h r W n W N l 0 3 T N f t 0 r s 1 X Y i V n Q r a E D S h Y 6 J b J t V V p M S s q t c T K F F b q y d 2 c 6 + a + F U t Q x P X U r x s 4 p c W 7 z f x v s V H T X x k 8 V 4 T 7 9 U y N / G B x c M m H l p 8 3 M T H F p 8 2 8 e l / L L C U p / E N V Y i 7 K o m S i P s I 3 s w u f E Q + K c P 7 Z a z r Z n 0 7 v 0 X H B u 1 a t G s V s O j I o L c W v b V P F s h u 9 T 1 T z Q e k W q 9 u 9 W t F (x k )k 2 /kG(x 0 )k 2 < l a t e x i t s h a 1 _ b a s e 6 4 = " E 7 4 w d y B u H n / O N f v G m u D 1 0 z G 1 I F M = " > A A A M U n i c j Z b d T t x G F M d N 0 o 8 E a E t a 9 a o 3 I 9 B K R K J k F 0 W q e l E p s C S A h N C W Q B K l D m j s H X t H 2 B 4 z M 2 Z 3 c f w E f Z r e t q / R m 7 5 K r 3 r G 9 h z b L K 1 q C X z 8 O + f M x / + c 8 d p L I 6 5 0 v / / X 0 o O H n 3 z 6 2 e e P H i + v r H 7 x 5 V d r T 7 5 + o 0 Q m f X b u i 0 j I d x 5 V L O I J O 9 d c R + x d K h m N v Y i 9 9 a 6 G x v / 2 h k n F R X K m 5 y n 7 E N M w 4 Q H 3 q Q Z 0 u d Z z P 7 o H K t h 0 Z 1 5 8 c f X U / X i x 8 6 y N + i W 6 X N v o b / f L i y w a g 9 r Y c O p r d P l k 5 V t 3 L P w s Z o n 2 I 6 r U L 4 N + q j / k V G r u R 6 x Y d j P F U u p f 0 Z D l n h B X m n q q I N X V I 6 k U A V N m 0 T T 6 / j q j E d d z A i E R U 5 1 M G q t A J L q V 6 U X g 8 g S V Y x J T P S F q H n s i W s g y 2 C Z B 1 g 2 V i d A T n o S d w I T 7 L J D U b 4 b 3 R Q x O b Y c l g Z B k 8 G x n i Q o N A i a Z C 0 a G Z Q X Q u B Q Y F F c 4 P m F t 0 Y d G O R M E h Y d G X Q l U X M o L p K U 4 N S i 4 4 N O r b o 2 q B r i 6 Y G T S 3 i M Q m s j G X P 2 u D g q d p W 9 P J G n X B N 4 d c z b N f 4 7 l q 3 o U F D i 4 4 M O l q U W D S F t w K C O i G C z q z m Z S k V s p s i M k J b 0 7 x t u m m Y b t q l d 2 e 6 E C s 7 F b Q h a E o n R L d M q q t I i V l V r 2 d Q o r Z W z + z m X j T x i 1 q G J q 6 l e N 7 E z y 0 + b O J D i 0 + a + M T i g y Y + q G V u 4 i O L R 0 0 8 s v i 0 i U 8 t P m / i 8 / 9 Y Y C l P 4 x u q E H d d E i U R 9 x G 8 m V 3 4 e n x c h g / K W N f N B n Z + i 0 4 N 2 r d o 3 y p g 0 Y l B b y x 6 Y 5 8 s k N 3 q e 6 a a D 0 i 1 X t 0 a 1 I q 2 D Q 1 N 2 4 Z a 1 b 2 2 Y c 9 W R v 1 Q G r p G H L e Z 6 8 M m r p N 6 0 M T 1 P L t N r I 8 T f E i b r 2 X 0 7 s b L r W 5 / u / v 0 x 6 3 V Z 3 v V J / U D 5 2 t n x V l 3 + s 6 O 8 8 w 5 d E b O u e M 5 u f O L 8 6 v z W + f 3 z p + d v z p / l 6 7 3 7 1 U x X z i t q / P P v 4 O O g c o = < / l a t e x i t > A sy n c -R E D -S G (8 -c or e) < l a t e x i t s h a 1 _ b a s e 6 4 = " d r P G W Q j J G 3 c 2 q 5 9 R m l 2 h b W h N e J o = " > A A A M S n i c j Z b d b t s 2 F M f V r t v a u N v S D b s a B h A J A q R A k t n Z R 5 O L A U 3 s N A k Q B F 4 + 2 q J 1 F 1 A y J R G R S I W k Y j u C r v Y 0 u 9 1 e Y y + w 1 9 j d s J s d S i I l J e 4 w A b b I 3 z m H H / 9 z K M l N I i p V t / v n v f s f P P j w o 4 8 f P l r o P P 7 k 0 8 8 W n 3 z + U v J U e O T c 4 x E X r 1 0 s S U Q Z O V d U R e R 1 I g i O 3 Y i 8 c i / 7 2 v 7 q m g h J O T t T s 4 S 8 i 3 H A q E 8 9 r A B d L H 4 9 U m S q p J f t y B n z 1 k / 2 B u u n + / n q 1 r r H B X l 6 s b j c 3 X j x G i g Z h H J k g h T l u s i 1 w 3 0 Y 5 X y N T Q m P m V U 7 x u g 4 D F m C y N G J l V w B m c i 4 b K w 5 9 m w 0 W l 5 1 Y P k 2 a B u t 3 y q e 5 6 d V Y 2 W N S J x j P P s q L i 1 L P A o 4 B E I O s u z v m 2 2 P O C g p 3 F S z r 5 T t 9 u j w L Z h 7 n 5 x K 3 X i i U 4 K F y A V r F / / W D Z a G 5 n K H K 3 l p Q G L I K Z g 0 l X M k / I u f U h S M F o D Q 5 4 3 / P D 0 P X 5 4 a v 0 i G t 9 x A g Z 2 S A 8 0 q C r 9 5 k 1 a z o c q h z m z l R N V D j J N 7 j g A s y u h z L 9 j B 2 b t k P y p N e i O 3 Q I P 6 q X z w O A b I i y G t s E + r U e B t s F j 6 V s 8 g k I 0 f M D 6 x 8 d Y q i w r 3 g 5 Z 0 c 9 / H g H K q 9 R 5 c T n 1 h 8 3 s T n / 7 H A U p 7 G N 1 Q h 7 q o k S i L u I 3 g z u / A N + b Q M 7 5 e x r p v 1 7 f w W n R i 0 Z 9 G e V c C i Y 4 P e W P T G P l k g u 9 X 3 T D U f k G q 9 u t W v F W 0 b G p q 2 D b W q u 2 3 D r q 2 M + q E 0 c I 0 4 b j P X B 0 1 c J 3 W / i e t 5 d p p Y H y f 4 k D Z f y + j 9 j Z e b G 7 3 v N r Z / 2 l x + v l t 9 U j 9 0 v n K W n F W n 5 z x z n j s H z t A 5 d z z n F + d X 5 z f n 9 8 4 f n b 8 6 f 3 f + K V 3 v 3 6 t i v n B a 1 + M H / w K E a 4 M J < / l a t e x i t >  V i l f B V N i E 8 Z 1 f s G K H i E 2 c K Y k V k V n M G Z i L k s 7 H k 2 a n R a X v U g e T a s 2 y 2 f 6 p 5 n J 1 W j Z Q 1 J F O E 8 O y x u L Q s 8 C n g I g q Z 5 N r D N l g c c 9 C S K y 9 m 3 6 3 Z 7 F N g 2 z D 0 o b q V O P N Z J 4 Q K k g v X r H 8 v G q 2 N T m e P V v D R g E U Q U T L q K e V z e p Q 9 J C s a r Y M j z h h + e f 8 Q P z 6 1 f S K M b T s D A D u m B B l W l 3 2 2 T l v O h y u G W 2 c q J K g e Z x D c c g N m V U O b f s A O z d k j + 3 B p 0 x 2 6 B B / X S e W D w F R E W Q 9 t g n 9 a j Q N v g i f Q t H k M h G j 5 k g 6 M j L F W W F W + H r O j n P 4 8 B 5 V X q P D i l C s M j u I w 4 1 E p k h 2 f 1 c I q y F J V a V C G t R i O L 9 5 p 4 r 5 a 5 i Q 8 s H j X x y O L j J j 6 2 + L S J T / 9 j g a U 8 j W + o Q t z H k i i J u I / g z e z C N + S T M n x Q x r p u N r D z W 3 R s 0 K 5 F u 1 Y B i 4 4 M e m f R O / t k g e x W 3 z P V f E C q 9 e r W o F a 0 b W h o 2 j b U q u 6 0 D T u 2 M u q H 0 t A 1 4 r j N X O 8 3 c Z 3 U v S a u 5 9 l u Y n 2 c 4 E P a f C 2 j j z d e r 3 f 7 G 9 2 t n 9 a X X + x U n 9 T 3 n e + c J e e x 0 3 c 2 n R f O v j N y T h 3 P + c X 5 1 f n N + b 3 z R + e v z t + d f 0 r X u 3 e q m G + c 1 v X w 3 r / g G I M R < / l a t e x i t > < l a t e x i t s h a G m 0 b t K / R / q K N r T 4 E o U 8 I p 1 N T 8 6 q V y r L r J t K F N q p Z V 3 X d U l 1 3 W 2 9 u u h B L M x X I 4 H R F P a I k v d W 1 p 8 B J 3 a + n 0 K K m V 0 / N 4 k 7 a + K Q p Q x s 3 p X j e x s 8 N 3 m v j P Y M P 2 / j Q 4 N 0 2 3 m 3 K 3 M b 7 B h + 1 8 Z H B x 2 1 8 b P B Z G 5 / 9 R 4 J V e V r f U G V x V w W R Q n 3 5 w 1 9 m B / 4 X 8 b B y n 1 S + j p N P z P w G H W u 0 Y 9 C O q Y B B h x q 9 M e i N u V l g d + v v m X o + I H W + S p o 0 F e 0 q W j X t K p q q b n U V W 6 C A T 1 z r 5 g f t v P B q Y 2 g 9 H l r W 9 x v L z 7 b q r 9 3 b v S 9 7 9 3 u r P a v 3 p P e s t 9 c 7 6 p 3 1 3 P 5 P / d / 7 f / b / W g q X f l 7 6 Z e n X y r R / q / b 5 o t d 5 l n 7 7 B 5 B q B + I = < / l a t e x i t > This establishes the fixed-point convergence to the set zer(G) at the rate of O(1/ p wt) under specific conditions. If we treat entire x as a block, namely that U = U T = I and b = 1, ASYNC-RED-SG then becomes the asynchronous stochastic RED algorithm. Hence, the proposed remark immediately holds true for the later. Note that our convergence rate O(1/ p wt) is consistent with the rate proved for the serial (Nemirovski et al., 2009) and parallel (Dekel et al., 2012; Lian et al., 2015) stochastic gradient methods. All the proofs are presented in the supplement. We note that the analysis above does not assume the existence of an explicit regularizer associated with the operator D . Moreover, it does not require D to be a Gaussian denoiser. Our analysis is hence applicable to all nonexpansive operators, such as the traditional proximal operators or the more recent artifact-removal operators (Zhang et al., 2019) .

5. NUMERICAL VALIDATION

We now present a numerical validation of ASYNC-RED. Our goals are first to validate the proposed theorems in Section 4 and then to demonstrate the effectiveness and the efficiency of our algorithm on the large-scale problem. We consider two image recovery tasks that have the form y = Ax+e, where the measurement matrix A corresponds to either the random matrix in compressive sensing (CS) or the Radon transform in computed tomography (CT), and the noise e is assumed to be additive white Gaussian (AWGN). In particular, the random matrix is implemented with the block-diagonal structure A = diag([A i , ..., A b ]) for fast validation, while the Radon transform is used as its full matrix form to demonstrate the effectiveness of ASYNC-RED for overcoming the computation bottleneck. Our deep neural net prior adapts the DnCNN architecture (Zhang et al., 2017a) . We used the signalto-noise ratio (dB) to quantify the quality of the reconstructed images. For each experiments, we selected the denoiser that achieves the best SNR performance from the ones corresponding to five noise levels 2 {5, 10, 15, 20, 25}. The value of is fixed across all iterations of the algorithm. Supplement D provides additional technical details.

5.1. CONVERGENCE BEHAVIOR

We validate our theorems on the CS task with 6 test images selected from the Set 12 dataset (Zhang et al., 2017a) . Each test image is rescaled to the size of 240 ⇥ 240 pixels (see Fig. 6 in the supplement for the visualization). The block-diagonal matrix A is set to consist of 9 submatrices, corresponding to a 3 ⇥ 3 grid of blocks with the size of 80 ⇥ 80 pixels in every image. The elements in A are i.i.d zero-mean Gaussian random variables of variance of 1/m, and the compression ratio is set to be m/n = 0.7, which indicates that the total number of measurements is 4480 for each block. We obtain the measurements by multiplying A with each vectorized image and adding additional noise corresponding to the input SNR of 30 dB. Finally, we use the normalized distance kG(x k )k 2 2 /kG(x 0 )k 2 2 to quantify the fixed-point convergence, with b block updates grouped as one iteration. The distance is expected to approach zero as the algorithm converges to a fixed point. The average performance of all methods is obtained by running a single trial for each image. Theorem 1 establishes the convergence of ASYNC-RED-BG to the fixed point set zer(G). This is illustrated in Fig. 2 for four different numbers of accessible cores n c 2 {2, 4, 6, 8}. In the left figure, the average normalized distance is plotted against the iteration number, while the middle and validated its convergence guarantees and demonstrated its effectiveness in CT image reconstruction. We note that this work is complementary to traditional acceleration strategies, such as Nesterov acceleration and variance-reduction, commonly used in optimization. Future work will investigate ASYNC-RED with Nesterov acceleration (as was done in (Hannah et al., 2019) for traditional asynchronous block-coordinate algorithms) and variance-reduction (as was done in (Johnson & Zhang, 2013) for traditional stochastic gradient method) to better understand the tradeoffs between acceleration and scalability in multicore systems. We will additionally investigate theoretical limits of ASYNC-RED in the unbounded maximal delay setting.



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j o 3 / 1 T W T i o v k V O c p e x v T I O E + 9 6 g G d D 7 N 3 f j i 2 4 s H G 8 P t Y X W R Z W P U G B t O c 0 0 u H g 6 + n M 6 E l 8 U s 0 V 5 E l f p p N E z 1 2 4 J K z b 2 I l W v T T L G U e p c 0 Y IU r x K W m r i p J f W 2 S V A q f K b M m G n 1 z l d G I 6 5 x A S M R U L 5 P G y h e J 7 m S 6 E b h c Q e W M x F S H R O W x K 6 K l L I N t E m R d U 5 k I H f I k 6 A U m 3 G O + p F 4 7 v C d i c G o 7 L P G F J K P H T 7 Y I 0 9 5 2 L z f m n h R G 0 N L m W i I C S d M w 7 0 s Q l / f h 2 i R c w 2 Y 9 A o P P e g E e 1 6 y s I g I p s p T A c 1 W g / s 6 q k b m 3 K E 2 g z 4 N M 3 h L M a K I F r L y O g N W v m x Z J 2 N X V e l + j K B C S 6 x A W X U I k P q r V U e V t g Q 2 r l q t D J i S 7 l c e S L I Y N x d U q t C A h v W Y k Y l o z S Y y P y R W b i 7 N I c y n m b T U g M 2 C J C W a r u g N Q F l E J a v y v 8 D A 0 Z + T W T m Q + U 2 G U V A u d C V j g j J g o R X h C a D 1 K L 2 F R n b h y b W 1 z c 5 N M p B A + T G I 1 0 H n E i j S i P C l N k x u D / N C U f I v M m M 8 T b v Y N U I q Y J m v T h M 2 b 5 A L O R C p U 5 S + L S e e h F 9 U O U h Z 7 r d 2 L a e 5 l c d o Y P W / E 4 p i W x V F 1 6 3 k 8 I U U E g u Z l M U a z F w E H P Y v T e v a d 1 u 6 P A t u G u c f V r d Z J p K Y o Q o J U s H 7 z l x T T r a n t z O l W W T u o D G I O L t P F I q 3 v y o c i B d M t c J R l J 4 4 u / i W O L j A u 4 v F S E D D w Q 3 n A 4 L q O W z V p P R 9 p A l b M V k / U B K g s X Q o A h i v h i b / k B 4 Z + K P 4 C H e Y B t y C C d u k i s P i G S c R g W + z z d h S w L Z 4 p H / E U G t H y v W R 8 f E y V L o q p Z g t d V M / l z 1 N A Z V M 6 D 0 6 p p v A K r j O O j B L F 0 U U 7 n O Z J T m o t m p T e K 6 4 q l x v D D P C P 4 n 5 d i 1 x E n k U e I m Y R Q x R a F C J S F i l E C 4 v a X g g s C h D l F u W I b i y 6 Q S Q t k o i u L L p C l F j U d m l m U Y b o y K I j R N c W X S O a W z R H J G I W o I z 1 E / r g 4 O n W V z 2 V n T 4 R h s L f 0 L I d G 7 u D Y X s W 7 S E 6 t O h w V W H J H H 4 V C P Q J k 3 y B m t e t V M l u m 8 g K j a 6 8 7 7 r p u G 7 6 r b c 0 X U g 1 T g U 2 J M 3 5 j B n L l r r J V D R p + v U U W h R 7 9 R Q 3 9 7 K L X 7 Y y d H Er x Y s u f o H 4 o I s P E B 9 3 8 T H i / S 7 e b 2 X u 4 k P E k y 6 e I D 7 p 4 h P E Z 1 1 8 9 h 8 L r O X p f E N V 4 j 5 S T C s i f A K / z C 5 8 K n 5 d p 4 / r X N c t x j g / o h O L n i N 6 j g o g O r b o D a I 3 + G a B 6 j b f M 8 1 8 Q J r 1 G m v c K t p 3 d D T t O 1 p V d / u O X e y M 9 q W 0 5 1 p x 3 G 6 t D 7 q 4 L e p + F 7 f z 7 H S x O U 7 w I T 2 6 / d m 8 b J w / 2 R 4 9 3 f 7 + x 6 c b z 3 a b T + p 7 z l f O u v P I G T n f O c + c A 2 f i n D m e 8 4 v z q / O b 8 / v g j 8 G 7 w Z + D v + r Q u 3 e a n C + c 3 j X 4 + x 9 Y N 3 r V < / l a t e x i t >

B 1 9 O Z z L I U y Z M k F C t f x o N M / O 2 o M r w I G H l 2 j T X L K P B B Y 1 Y 4 U t 5 Y a i v S 1 J f m y R T M m T a L o g m 3 1 z m N O F m S S A k Y b q X S V M d S m E 6 m X 4 C L l 9 S N S M p N T H R y 9 S X y U q W x S 4 J s q 6 o E t L E X E S 9 Q M E D F i o a t M M H M g W n c c O S U C o y + v b x F m E m 2 O 7 l p j x Q 0 q p Z u l x H Z K R o F i / 7 E q T l f b g 2 C T e w 2 Y D A 4 L N e Q M A N K 6 u I S M k 8 I / B c V a e / s 2 p k H i x K G x j y K F c 3 B L O a G A k r r y N g 9 e u 2 P w S 7 v F z v a 5 R E U n E T w 6 J L i M R H f X t U e V N g y 6 r l m p h J x W 7 k M Z G n s K G 0 W o W R J K Z X j C T M G K a I 9 T F 1 y + b S P D F c y X l b D c i M m L D B 7 L b u A J Q n V I E a / y s 8 j u 0 B u b E T t Z z p O B H V Q m c S F j g j N k o T L g i t R + k l L K r j V q 6 t b W 5 u k o m S M o R J n A Z m m b A i S y g X p W 1 y a 5 A f m p J v k R k L u e B 2 3 w C V T K l Y m w o 2 b 5 I L O B O Z 1 J W / L C a d h 1 5 U O 0 h Z 7 L V 2 L 6 a 5 l 8 V p Y / S 8 C U t T W h Z H 1 a 3 n C a S S C Q i 6 L I s x m r 0 I O O h 5 m t W z 7 7 R 2 f x T Y N s w 9 r m 6 1 T j K z R Z E K p I L 1 2 z 9 R T L e m r j O n W 2 X t o C p K O b h s F 8 u s v u s Q i h R N t 8 B R l p 0 4 u v i X O L r A u I S n K 0 H A w A / l A Y O b O u 6 2 S e v 5 S B N w y 2 z 1 R E 2 A z r O V A G C 4 E i 7 C F T 8 w 9 E P x F + i w D 7 g F G b V L l 5 H D 1 0 w h B t v h k L e j g O 3 w T I e I p 9 C I j u + J 8 f E x 1 a Y o p o Y t T F E 9 l + + m g M q m d A G c U k P h F V x n H F k l i q P z d j j D x Z L U W j Q p v V d c V S 4 / h R n g H 8 X 9 + g 7 5 i A K H A k T M I Y Y o d i h G p B 3 S i B Y O t b 0 Q O R Q h W j q 0 R H T t 0 D U i 5 Z B C d O n Q J S L h U N u l u U M 5 o i O H j h B d O X S F a O 7 Q H J F M W Y Q y 1 k / o g 4 N n W l / 1 V H b 6 R F o K f 0 P H d l z s D o b t O b S H 6 N C h w 9 s K S + b w q 0 C g T 5 j i C 9 S 8 b q V K d t d E T m h 0 L f u u6 4 7 r u t 9 6 K 9 P F 1 O B U Y E P S n M + Y t V y p m 0 x N R d O v p 9 C i 2 K u n u L k X X f y i l a G L W y m e d / F z x A d d f I D 4 u I u P E e 9 3 8 X 4 r c x c f I p 5 0 8 Q T x S R e f I D 7 r 4 r P / W G A t T + c b q h

R Y 4 y r I T R x f / E k c X G B f x e C k I G P i h P G B w X c e t m r S e j z Q B K 2 a r J 2 o C V J Y u B Q D D l f D E X / I D Q z 8 U f 4 E O 8 4 B b E E G 7 d B F Y f M s k Yr A t 9 n k 7 C t g W z 5 S P e A q N a P l + M j 4 5 o U o X x V S z h S 6 q 5 / L d F F D Z l M 6 D U 6 o p v I L r j G O j R H F 8 2 Q 6 n e Z K T W o s m p f e K q 8 r l x j A D / K O 4 X 9 c i F 5 F n k Y e I W c Q

t e x i t s h a 1 _ b a s e 6 4 = " M j Y p u y n c O H W p k p + 5I O x K O z K N i 3 Y = " > A A A M L 3 i c j Z b N b t t G E M e Z 9 C u R + p G 0 6 K m X h Q 0 D K e C 6 U h C g 6 K F A b D m x D R i G 6 t h J k C o x l t S S X J j k 0 r t L S z T B V + i 1 f Y 0 + T d F L 0 W v f o r M k d 0 h a a l E C N o e / m d m P / 8 x S d N O I K z 0 a / X H n 7 n v v f / D h R / f u D 4 Y f f / L p Z w 8 e f v 5 S i U x 6 7 N w T k Z C v X a p Y x B N 2 r r m O 2

x t l 7 W D y i D m 4 D J d L N L 6 r n w o U j D b B k d Z d u L o 8 l / i 6 B L j I h 6 v B A E D P 5 Q H D K 7 r u H W T 1 v O R J m D N b P V E T Y D K 0 p U A Y L g S n v g r f m D o h + I v 0 W E e c A s i a J c u A o t v m E Q M t s U + b 0 c B 2 + K 5 8 h H P o B E t 3 0 8 m J y d U 6 a K Y a b b U R f V c v p s B K p v S e X B K N Y V X c J 1 x b J Q o j i / a 4 T R P c l J r 0 a T 0 X n F V u d w Y Z o B / F P f r W u Q i 8 i z y E D G L G K L Q o h C R s k g h W l r U 9 k J g U Y A o t y h H d G P R D S J p k U R 0 Z d E

2 J 5 j O 7 s g L C U + / p 1 z 5 u N / z n j t Z T F X e j h 8 d + f u e + 9 / 8 O F H 9 + 6 v D T 7 + 5 N P P H j z 8 / F y J X P r s z B e x k K 8 9 q l j M U 3 a m u Y 7 Z 6 0 w y m n g x e + V d j o 3 / 1 T W T i o v 0 V C 8 y 9 j a h Y c o D 7 l M N 6 N y d e 8 n F t x c P N o b b w + o i y 8 a o M T a c 5 p p c P B x 8 6 U 6 F n y c s 1 X 5

2 J 5 j O 7 s g L C U + / p 1 z 5 u N / z n j t Z T F X e j h 8 d + f u e + 9 / 8 O F H 9 + 6 v D T 7 + 5 N P P H j z 8 / F y J X P r s z B e x k K 8 9 q l j M U 3 a m u Y 7 Z 6 0 w y m n g x e + V d j o 3 / 1 T W T i o v 0 V C 8 y 9 j a h Y c o D 7 l M N 6 N y d e 8 n F t x c P N o b b w + o i y 8 a o M T a c 5 p p c P B x 8 6 U 6 F n y c s 1 X 5

r y l 8 W k 8 9 C L a g c p i / 3 W 7 s U 0 9 7 I 4 b 4 y e N 2 J x T M v i u L r 1 P J 6 Q I g J B 8 7 I Y o 9 m L g I O e x W k 9 + 2 5 r 9 0 e B b c P c 4

7 d F P e j i d p 7 d L j b H C T 6 k R 3 c / m 5 e N l 0 + 3 R z v b 3 / + 4 s / F s r / m k f u B 8 5 a w 7 T 5 y R 8 5 3 z z D l 0 J s 6 F 4 z m B 8 7 P z i / P r 4 L f B 7 4 M / B 3 / V o f f v N T l f O L 1 r 8 P c / a T J 5 f w = = < / l a t e x i t > k5 < l a t e x i t s h a 1 _ b a s e 6 4 = " y u

7 d F 3 e / i d p 6 d L r b H C T 6 k R z c / m 1 e N l 4 + 3 R 0 + 2 v / v h y c b T 3 e a T + p 7 3 h b f u P f J G 3 r f e U + / A m 3 h n X u B F 3 s / e L 9 6 v g 9 8 G v w / + H P x V h 9 6 9 0 + R 8 5 v W u w d / / A I D C e Y E = < / l a t e x i t > t e x i t s h a 1 _ b a s e 6 4 = " + 7 + m D 4 Q o l a 2 M F 8 v L Z 0 2 4 U e v U r M M = " > A A A M M X i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A I o c A s d e J b c A w t o 7 t B O m m B q W l J N a S K J O U d 2 V B 7 9 B r + x p 9 m t y K X v s S H U r i S P J u i w q w N f r N D D / + M 9 T K T S O u 9 H D 4 / s 7 d D z 7 8 6 O N P 7 t 1 f G 3 z 6 2 e d f P H j 4 5 b k S m f T Y m S c i I d + 4 V L

o H 4 o I s P E B 9 3 8 T H i / S 7 e b 2 X u 4 k P E k y 6 e I D 7 p 4 hP E Z 1 1 8 9 h 8 L r O X p f E N V 4 j 5 S T C s i f A K / z C 5 8 K n 5 d p 4 / r X N c t x j g / o h O L n i N 6 j g o g O r b o D a I 3 + G a B 6 j b f M 8 1 8 Q J r 1 G m v c K t p 3 d D T t O 1 p V d / uO X e y M 9 q W 0 5 1 p x 3 G 6 t D 7 q 4 L e p + F 7 f z 7 H S x O U 7 w I T 2 6 / d m 8 b J w / 2 R 4 9 3 f 7 + x 6 c b z 3 a b T + p 7 z l f O u v P I G T n f O c + c A 2 f i n D m e 8 4 v z q / O b 8 / v g j 8 G 7 w Z + D v + r Q u 3 e a n C + c 3 j X 4 + x 9 Y N 3 r V < / l a t e x i t >

y m e d / F z x A d d f I D 4 u I u P E e 9 3 8 X 4 r c x c f I p 5 0 8 Q T x S R e f I D 7 r 4 r P / W G

2 J 5 j O 7 s g L C U + / p 1 z 5 u N / z n j t Z T F X e j h 8 d + f u e + 9 / 8 O F H 9 + 6 v D T 7 + 5 N P P H j z 8 / F y J X P r s z B e x k K 8 9 q l j M U 3 a m u Y 7 Z 6 0 w y m n g x e + V d j o 3 / 1 T W T i o v 0 V C 8 y 9 j a h Y c o D 7 l M N 6 N y d e 8 n F t x c P N o b b w + o i y 8 a o M T a c 5 p p c P B x 8 6

2 J 5 j O 7 s g L C U + / p 1 z 5 u N / z n j t Z T F X e j h 8 d + f u e + 9 / 8 O F H 9 + 6 v D T 7 + 5 N P P H j z 8 / F y J X P r s z B e x k K 8 9 q l j M U 3 a m u Y 7 Z 6 0 w y m n g x e + V d j o 3 / 1 T W T i o v 0 V C 8 y 9 j a h Y c o D 7 l M N 6 N y d e 8 n F t x c P N o b b w + o i y 8 a o M T a c 5 p p c P B x 8 6

r y l 8 W k 8 9 C L a g c p i / 3 W 7 s U 0 9 7 I 4 b 4 y e N 2 J x T M v i u L r 1 P J 6 Q I g J B 8 7 I Y o 9 m L g I O e x W k 9 + 2 5 r 9 0 e B b c P c 4

w 7 5 8 z l f 8 5 4 7 a Y R V 3 o 4 / O P e / f f e / + D D j x 4 8 X B t 8 / M m n n z 1 6 / P l L J T L p s Q t P R E K + d q l i E U / Y h e Y 6 Y q 9 T y W j s R u y V e z U 2 / l c 3 T C o u k n O d p + x t T I O E + 9 y j G t D Z 1 e X O 5 a O N 4 f a w u s i y M W q M D a e 5 J p e P B 1 9

r 1 B 9 A b f L F D d 5 n u m m Q 9 I s 1 5 j j V t F + 4 6 O p n 1 H q + p e 3 7 G H n d G + l P Z d K 4 7 b r f V h F 7 d F P e j i d p 7 d L j b H C T 6 k R 3 c / m 5 e N l 0 + 3 R z v b 3 / + 4 s / F s r / m k f u B 8 5 a w 7 T 5 y R 8 5 3 z z D l 0 J s 6 F 4 z m B 8 7 P z i / P r 4 L f B 7 4 M / B 3 / V o f f v N T l f O L 1 r 8 P c / a T J 5 f w = = < / l a t e x i t > k5 < l a t e x i t s h a 1 _ b a s e 6 4 = " y u

7 d F 3 e / i d p 6 d L r b H C T 6 k R z c / m 1 e N l 4 + 3 R 0 + 2 v / v h y c b T 3 e a T + p 7 3 h b f u P f J G 3 r f e U + / A m 3 h n X u B F 3 s / e L 9 6 v g 9 8 G v w / + H P x V h 9 6 9 0 + R 8 5 v W u w d / / A H T 6 e Y A = < / l a t e x i t > k6 < l a t e x i t s h a 1 _ b a s e 6 4 = " z 4 z B P f j 4 b j 5 o

7 d F 3 e / i d p 6 d L r b H C T 6 k R z c / m 1 e N l 4 + 3 R 0 + 2 v / v h y c b T 3 e a T + p 7 3 h b f u P f J G 3 r f e U + / A m 3 h n X u B F 3 s / e L 9 6 v g 9 8 G v w / + H P x V h 9 6 9 0 + R 8 5 v W u w d / / A I D C e Y E = < / l a t e x i t > k7 < l a t e x i t s h a 1 _ b a s e 6 4 = " K w P S Y j P 2 u T 1 Y

6 N 9 K e 3 5 T h y / W + u D L m 6 L u t / F 7 T w 7 X W y P E 3 x I j 2 5 + N q 8 a r x 5 v j 5 5 s P / 3 h y c a z 3 e a T + p 7 3 l b f u P f J G 3 n f e M + / A m 3 h n X u B F 3 s / e L 9 6 v g 9 8 G v w / + H P x V h 9 6 9 0 + R 8 4 f W u w d / / A K Q a e Y Q = < / l a t e x i t > t e x i t s h a 1 _ b a s e 6 4 = "+ 7 + m D 4 Q o l a 2 M F 8 v L Z 0 2 4 U e v U r M M = " > A A A M M X i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A I o c A s d e J b c A w t o 7 t B O m m B q W l J N a S K J O U d 2 V B7 9 B r + x p 9 m t y K X v s S H U r i S P J u i w q w N f r N D D / + M 9 T K T S O u 9 H D 4 / s 7 d D z 7 8 6 O N P 7 t 1 f G 3 z 6 2 e d f P H j 4 5 b k S m f T Y m S c i I d + 4 V L

6 0 M X d x K 8 b K L X y I + 6 O I D x M d d f I x 4 v 4 v 3 W 5 m 7 + B D x p I s n i E + 6 + A T x W R e f / c c C a 3 k 6 3 1 C V u I 8 U 0 4 o I n 8 A v s w u f i t / W 6 e M 6 1 3 W L M c 6 P 6 M S i F 4 h e o A K I j i 1 6 i + g t v l m g u s 3 3 T D M f k G a 9 x h q 3 i v Y d H U 3 7 j l b V 3 b 5 j F z u j f S n t u V Y c t 1 v r g y 5 u i 7 r f x e 0 8 O 1 1 s j h N 8 S I 9 u f z Y v G + e P t 0 d P t p / + + G T j + W 7 z S X 3 P + c Z Z d x 4 5 I + c H 5 7 l z 4 E y c M 8 d z f n F + d X 5 z f h / 8 M X g / + H P w V x 1 6 9 0 6 T 8 5 X T u w Z / / w N A p 3 r T < / l a t e x i t > y2 < l a t e x i t s h a 1 _ b a s e 6 4 = " z Y

8 a y p W 4 y F U 2 a f j 2 D F s V e P c P N v e z i l 6 0 M X d x K 8 a K L X y A + 7 O J D x C d d f I L 4 o I s P W p m 7 + A j x p I s n i E + 7 + B T x e R e f / 8 c C a 3 k 6 3 1 C V u E 8 U 0 4 o I n 8 A v s w u f i l / X 6 e M 6 1 3 W L M c 6 P 6 N S i 5 4 i e o w K I T i x 6 g + g N v l m g u s 3 3 T D M f k G a 9 x h q 3 i v Y d H U 3 7 j l b V v b 5 j D z u j f S n t u 1 Y c t 1 v r w y 5 u i 3 r Q x e 0 8 u 1 1 s j h N 8 S I / u f j Y v G x c 7 2 6 O n 2 9 / / + H T j 2 V 7 z S f 3 A + c p Z d 5 4 4 I + c 7 5 5 l z 6 E y c c 8 d z f n F + d X 5 z f h / 8 M X g 3 + H P w V x 1 6 / 1 6 T 8 4 X T u w Z / / w N M b 3 r U < / l a t e x i t > y3 < l a t e x i t s h a 1 _ b a s e 6 4 = "

r x Y s u f o H 4 o I s P E B 9 3 8 T H i / S 7 e b 2 X u 4 k P E k y 6 e I D 7 p 4 hP E Z 1 1 8 9 h 8 L r O X p f E N V 4 j 5 S T C s i f A K / z C 5 8 K n 5 d p 4 / r X N c t x j g / o h O L n i N 6 j g o g O r b o D a I 3 + G a B 6 j b f M 8 1 8 Q J r 1 G m v c K t p 3 d D T t O 1 p V d / u O X e y M 9 q W 0 5 1 p x 3 G 6 t D 7 q 4 L e p + F 7 f z 7 H S x O U 7 w I T 2 6 / d m 8 b J w / 2 R 4 9 3 f 7 + x 6 c b z 3 a b T + p 7 z l f O u v P I G T n f O c + c A 2 f i n D m e 8 4 v z q / O b 8 / v g j 8 G 7 w Z + D v + r Q u 3 e a n C + c 3 j X 4 + x 9 Y N 3 r V < / l a t e x i t > t e x i t s h a 1 _ b a s e 6 4 = " v h H S B t / e H / o l X B M G x Z 6 V P o u z v 4 s = " > A A A M L 3 i c j Z b N b t w 2 E M e V 9 C v x 9 i N p 0 V M v h A 0 D K e C 6 u 0 G A o o c C s d e J b c A w t o 6 d B O k m B q W l J M I S K Z O U d 9 e C X q H X 9 j X 6 N E U v Ra 9 9 i w 4 l c S R 5 3 a I C b I 1 + M 8 O P / w y 1 8 r O E a z M c / n H n 7 n v v f / D h R / f u r w 0 + / u T T z x 4 8 / P y l l r k

e L z X G C D + n x 7 c / m V e P l 4 5 3 x k 5 3 v f 3 y y + X S v + a S + 5 3 z l b D i P n L H z n f P U O X S m z r n j O a H z s / O L 8 + v w t + H v w z + H f 9 W h d + 8 0 O V 8 4 v W v 4 9 z 8 9 u X o v < / l a t e x i t > { < l a t e x i t s h a 1 _ b a s e 6 4 = "

l n d 2 P 5 D b i F 1 + B p u E B C 3 P I a n L E 9 x 3 Y 2 I C w l P v 6 d c + b j f 8 5 4 7 W c J 1 2 Y 4 / O P e / X f e f e / 9 D x 4 8 X B t 8 + N H H n z x 6 /

Figure 1: Visual illustration of serial and parallel image recovery on a multicore system. (a) Serial processing uses only one core of the system for every iteration. (b) Synchronous parallel processing has to wait for the slowest core to finish before starting the next iteration. (c) Asynchronous parallel processing can continuously iterate using all the cores without waiting. (d) Asynchronous parallel processing using the stochastic gradient leads to additional flexibility. (a), (b), and (c) use all the corresponding measurements at every iteration, while (d) uses only a small random subset at a time. ASYNC-RED adopts the schemes shown in (c) and (d).

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r v Y 0 u 9 1 e Y y + w 1 9 j d s J s d S i I l J e 4 w A b b I 3 z m H H / 9 z K M l N I i p V t / v n v f s f P P j w o 4 8 f P l r o P P 7 k 0 8 8 W n 3 z

I 0 4 b j P X B 0 1 c J 3 W / i e t 5 d p p Y H y f 4 k D Z f y + j 9 j Z e b G 7 3 v N r Z / 2 l x + v l t 9 U j 9 0 v n K W n F W n 5 z x z n j s H z t A 5 d z z n F + d X 5 z f n 9 8 4 f n b 8 6 f 3 f + K V 3 v 3 6 t i v n B a 1 + M H / w K E a 4 M J < / l a t e x i t >

d 6 f d + 5 + c u / T z z 6 / / 2 C h 8 / C L L 7 9 a f P T 1 a 8 k T 4 Z F T j 4 d c v H W x J C F l 5 F R R F Z K 3 s S A 4 c k P y x j 0 f a P u b S y I k 5 e x E p T H 5 E O G A U Z 9 6 W A E 6 W / x +r M h c S S / b l i n z 1 o 5 3 h 2 s 7 e / n j 5 2 s e F + T J 2 e J y r / v 8 6 e a z / j P U 6 2 5 s 9 T e 3 N q H R 7 z 3 d 2 F h H / W 6 v u J a d 6 h q d P e p 8 O 5 5 w L 4

4 6 I K 2 c O X O C P 4 b / h j e 0 Z 2 9 k F Y T X x m 9 / 7 m D d v 3 k x c J 4 2 o k K P R 3 7 f 6 7 7 3 / w Y c f 3 b 4 z +P i T p U 8 / u 3 v v 8 5 e C Z d w l Z y 6 L G H / t Y E E i m p A z S W V E X q e c 4 N i J y C v n 3 U T p X 1 0 S L i h L T u U s J W 9 j H C T U p y 6 W g M 7 v 9 b + y H R L Q J J c Y X I q B 7 Z J E E g 5 v n C q L / C Q l x F v P U s R 8 Z E s y l c L N N 8 U s c d e P d 7 Y L 5 L I 4 x Z x 4 6 I r K E O 2 + K O m g i Z l F m B c 5 c p H + B 0 r J U p 5 F Z F C G c / z 8 B Z E h 8 w r 0 N d L k 5 P C 4 P Z Q 0 J u 2 x q H M q b H t g x 9 R r o k F y d Q 6 r 1 r r L O H n Y c t t 4 O h x Z y N t S o a z h G I U c h H U V o 3 Y 9 0 c t a H R t n 5 T Q C J x A f j Y d P U U w T R Y f j B 7 Z K S z x A r Q D z B V r f 2 m 1 H W 5 j K E x P 2 2 6 G l w + q o Y L w g 6 s m u D q o i b I y H o 3 G V o / a x H g 1 H K m i 7 b O P h Y x 2 9 r J z D p G R x V T y Se G a 7 z A g a 4 v z u 8 g g K o B 4 0 L 1 i 1 s N y r n 6 P z e 4 M / b I + 5 W Q x 9 5 E Z Y i B + s U S r f 5 p h L 6 p Y d l g m S Y v c d D k j u

Figure 2: Convergence of ASYNC-RED-BG for different numbers of accessible cores n c 2 {2, 4, 6, 8}. The left figure plots the average normalized distance to zer(G) against the iteration number; the middle and right figures plot these values, as well as SNR, plotted against the actual runtime in seconds. The shaded areas represent the range of values attained over the test images.

t e x i t s h a 1 _ b a s e 6 4 = " S 3 5 m g H p 8 m C s 1 Y p 8 X m y +U Q 9 H A 2 b I = " > A A A M M 3 i c j Z b b b t t G E I a Z 9 J R Y P S Q t e t W b h Q 0 D D u C 6 k l G g 6 E W B 2 H J i G z A E 1 Y f E S J U Y S 2 p J L k x y 6 d 2 l J Z n g S / S 2 f Y 0 + T N G 7 o r d 9 h 8 6 S 3 C F p q U U J 2 B x + M 7 O H f 2 Y p u m n E l e 7 3 f 3 / w 8 L 3 3 P / j w o 0 e P 1 3 o f f / L p Z 0 + e f v 5 K i U x 6 7 M I T k Z C X L l U s 4 g m 7 0 F x H 7 D K V j M Z u x F 6 7 1 0 P j f 3 3 L p O I i O d e L l L 2 N a Z B w n 3 t U A 7 o 8 G 5 2 S r e n + s 6 s n G / 2 d f n m R Z W N Q G x t O f Y 2 v n v a + n E y F l 8 U s 0 V 5 E l f p p 0 E / 1 2 5 x K z b 2 I F W u T T L G U e t c 0 Y L k r x L W m r i p I d W 2 S V A q f K b M q G n1 9 k 9 G I 6 w W B k I i p T i a N l S 8 S 3 c p 0 I 3 C 5 g s o p i a k O i V r E r o i W s g y 2 S Z B 1 S 2 U i d M i T o B O Y c I / 5 k n r N 8 J 6 I w a n t s M Q X k g y + 2 d 0 m T H s 7 n d y Y e 1 I Y S Q u b a 4 k

g t 7 n g 0 b n Z Z X P U i e D e p 2 y 6 e 6 5 9 l p 1 W h Z I x L H O M 8 O i 1 v L 4 n H B I x B 0 l m d 9 2 2 x 5 w E F P 4 6 S c f b t u t 0 e B b c P c / e J W 6 s

H a 9 f 6 s I 2 b o h 6 0 c T P P b h u b 4 w Q f 0 o O 7 n 8 2 L x p u d 7 c H z 7 R 9 / f r 7 x Y q / + p H 7 k f O e s O 5 v O w P n B e e E c O i P n 3 P G d X 5 3 f n N + d P 1 b + X P l 7 d W n 1 Y R X 6 Y K n O + c b p X K u r / w B g k Y P v < / l a t e x i t > < l a t e x i t s h a 1 _ b a s e 6 4 = " 4 / x / m b C w l z i o e s 2 o f

H a 9 f 6 s I 2 b o h 6 0 c T P P b h u b 4 w Q f 0 o O 7 n 8 2 L x p u d 7 c H z 7 R 9 / f r 7 x Y q / + p H 7 k f O e s O 5 v O w P n B e e E c O i P n 3 P G d X 5 3 f n N + d P 1 b + X P l 7 d W n 1 Y R X 6 Y K n O + c b p X K u r / w B g k Y P v < / l a t e x i t > < l a t e x i t s h a 1 _ b a s e 6 4 = " 4 / x / m b C w l z i o e s 2 o f

5 a N V 8 e m M s e r e W n A I o g p m H Q V 8 6 S 8 S x + S F I x X w Z D n D T 8 8 + 4 A f n l m / i M Y 3 n I C B H d I D D a p K v 9 s m L e d D l c M t s 5 U T V Q 4 y T W 4 4 A L M r o c y / Y Q d m 7 Z D 8 m T X o j t 0 C D + q l 8 8 D g K y I s h r b B P q 1 H g b b B E + l b P I Z C N H z I B o e H W K o s K 1 4 P

2 4 a G p m 1 D r e p O 2 7 B j K 6 N + K A 1 c I 4 7 b z P V + E 9 d J 3 W v i e p 7 t J t b H C T 6 k z d c y e n / j b H O j 9 9 1 G r / f j 5 v K L n e q b + r 7 z l b P k r D o 9 5 6 n z w t l 3 h s 6 p 4 z m / O L 8 6 v z m / d / 7 o / N X 5 u / N P 6 X r 3 T h X z h d O 6 H t 7 7 F / Z C g w 4 = < / l a t e x i t > Async-RED-BG(nc = 8)

z D t b 3 d y Y + 5 L Y R Q v b K 4 l I p Q 0 n c y 7 E s T F Y 7 h 6 h G v Y r E 9 g 8 H E n w O e a F W V E K E W W E n g u K 9 j d W T k y 9 2 e F C Q x 4 m M k 7 g h l N t I C V V x G w + n X T Q w m 7 v l 7 v a h S F Q n I 9 g U U X E I m P 6 v 6 o 4 q 7 A h p X L 1 R M m J L u T x 5 I s h g 3 F 5 S q 0 I B N 6 w 0 j E t G a S G B + T 9 2 w u z i L N p Z g 2 1 Y D M k C U m m N 3 X H Y C y i E p Q 4 3 + F T y b m E N 3 Z i Z y P 1 S R K y o W O B S x w T E y U I j w h t B q l k z A r j 2 S x v N z r 9 c h I C h H A J F Y D P Y 9 Y n k a U J 4 V p c m O Q n + q S b 5 E x C 3 j C z b 4 B S h H T Z N l N 2 L R O z u F M p E K V / i I f t R 4 6 U c 0 g R b 7 f 2 J 2 Y + l 7 k Z 7 X R 8 U Y s j m m R H 5 e 3 j s c X U k Q g 6 L z I h 2 h 2 I u C g Z 3 F a z b 7 b 2 N 1 R Y N s w 9 7 C 8 V T q J 1 B R F S J A K 1 m / + k t z d c m 1 n u l t F 5 a A y j D m 4 T B e L t L q r A I o U u l v g K I p W H J 3 9 S x y d Y V z E 4 4 U g Y O C H 8 o D B d R V 3 3 6 T V f K Q O u G e 2 a q I 6 Q G X p Q g A w X A l P g g U / M P R D 8 W f o M A + 4 B R E 2 S x e h x b d M I g b b 4 o A 3 o 4 B t 8 V g F i F 1 o R M v 3 k + H J C V U 6 z 1 3 N Z j o v n 4 s L F 1 B R l 8 6 H U 6 o p v I K r j G O j R H 5 8 2 Q y n e T I n l R Z 1 S u c V V 5 b L i 2 E G + E d x v 5 5 F H i L f I h 8 R s 4 g h m l g 0 Q a Q s U o h m F j W 9 E F o U I p p b N E d 0 a 9 E t I m m R R H R t 0 T W i x K K m S z O L M k T H F h 0 j u r H o B t H U o i k i E b M Q Z a y e 0 A c H T z e + 8 q l o 9 Y k w F P 7 6 l u 3 a 2 F 0 M 2 7 d o H 9 G R R U f 3 F Z Z M 4 V e B Q J 8 w y W e o e d V K p e y 2 i a z Q 6 J p 3 X b c t 1 2 2 3 9 R a m m 1 C N U 4 E N S V M + Z s a y p a 4 z F U 3 q f j 2 D F s V e P c P N v W 7 j 1 4 0 M b d x I 8 a q N X y E + b O N D x C d t f I L 4 o I 0 P G p n b + A j x q I 1 H i E / b + B T x e R u f / 8 c C K 3 l a 3 1 C l u J u K a U V E Q O C X 2 Y N v y a d V + r D K 9 b x 8 i P M j O r X o J a K X q A C i E 4 v e I 3 q P b x a o b v 0 9 U 8 8 H p F 6 v s Y a N o l 1 H S 9 O u o 1 F 1 r + v Y w 8 5 o X k r 7 n h XH a 9 f 6 s I 2 b o h 6 0 c T P P b h u b 4 w Q f 0 o O 7 n 8 2 L x p u d 7 c H z 7 R 9 / f r 7 x Y q / + p H 7 k f O e s O 5 v O w P n B e e E c O i P n 3 P G d X 5 3 f n N + d P 1 b + X P l 7 d W n 1 Y R X 6 Y K n O + c b p X K u r / w B g k Y P v < / l a t e x i t > Sy nc -R ED (8 -co re )

t e x i t s h a 1 _ b a s e 6 4 = " S 3 5 m g H p 8 m C s 1 Y p 8 X m y +U Q 9 H A 2 b I = " > A A A M M 3 i c j Z b b b t t G E I a Z 9 J R Y P S Q t e t W b h Q 0 D D u C 6 k l G g 6 E W B 2 H J i G z A E 1 Y f E S J U Y S 2 p J L k x y 6 d 2 l J Z n g S / S 2 f Y 0 + T N G 7 o r d 9 h 8 6 S 3 C F p q U U J 2 B x + M 7 O H f 2 Y p u m n E l e 7 3 f 3 / w 8 L 3 3 P / j w o 0 e P 1 3 o f f / L p Z 0 + e f v 5 K i U x 6 7 M I T k Z C X L l U s 4 g m 7 0 F x H 7 D K V j M Z u x F 6 7 1 0 P j f 3 3 L p O I i O d e L l L 2 N a Z B w n 3 t U A 7 o 8 G 5 2 S r e n + s 6 s n G / 2 d f n m R Z W N Q G x t O f Y 2 v n v a + n E y F l 8 U s 0 V 5 E l f p p 0 E / 1 2 5 x K z b 2 I F W u T T L G U e t c 0 Y L k r x L W m r i p I d W 2 S V A q f K b M q G n 1 9 k 9 G I 6 w W B k I i p T i a N l S 8 S 3 c p 0 I 3 C 5 g s o p i a k O i V r E r o i W s g y 2 S Z B 1 S 2 U i d M i T o B O Y c I / 5 k n r N 8 J 6 I w a n t s M Q X k g y + 2 d 0 m T H s 7 n d y Y e 1 I Y S Q u b a 4 k I J E 3 D R V e C u H g M 1 y b h G j b r E R h 8 2 g n w u G Z F G R F I k a U E n s s S d X d W j s y 9 e W E C f R 5 k 8 p 5 g R h M t Y O V V B K x + 3 T R J w m 5 u 1 r s a R Y G Q X I e w 6 A I i 8 V G t j i r u C 2 x Y u V w d M i H Z v T y W Z D F s K C 5 X o Q U J 6 S 0 j E d O a S W J 8 T K 7 Y X J x F m k s x a 6 o B m Q F L T D B b 1 R 2 A s o h K U O N / h Y e h O S X 3 d i I X U x V G S b n Q q Y A F T o m J U o Q n h F a j d B L m 5 Z k r 1 t Y 2 N z f J W A r h w y R W A 7 2 I W J 5 G l C e F a X J j k B / q k m + T K f N 5 w s 2 + A U o R 0 2 R t k r B Z n Z z D m U i F K v 1 F P m 4 9 d K K a Q Y r 8 o L E 7 M f W 9 y M 9 r o + O N W B z T I j 8 p b x 2 P J 6 S I Q N B F k Q / R 7 E T A Q c / i t J p 9 r 7 G 7 o 8 C 2 Y e 5 h e a t 0 E q k p i p A g F a z f / C X 5 Z H t i O 3 O y X V Q O K o O Y g 8 t 0 s U i r u / K h S M F k G x x F 0 Y q j 8 3 + J o 3 O M i 3 i 8 F A Q M / F A e M L i u 4 l Z N W s 1 H 6 o A V s 1 U T 1 Q E q S 5 c C g O F K e O I v + Y G h H 4 o / R 4 d 5 w C 2 I o F m 6 C C y + Y x I x 2 B b 7 v B k F b I u n y k c 8 g U a 0 / C A Z j k Z U 6 T y f a D b X e f l c v J s A K u r S e X B K N Y V X c J V x Y p T I T 6 6 a 4 T R P F q T S o k 7 p v O L K c r k x z A D / K O 7 X t c h F 5 F n k I W I W M U S h R S E i Z Z F C N L eo 6 Y X A o g D R w q I F o j u L 7 h B J i y S i G 4 t u E C U W N V 2 a W Z Q h O r H o B N G t R b e I Z h b N E I m Y B S h j 9 Y Q + O H i 6 8 Z V P R a t P h K H w 1 7 d s z 8 b u Y d i B R Q

V 0 K 4 6 w N I Y N x c U q F E c h v i Y o I k o R g b S N i A W b i 9 N I U c G n d T Y g M i B M O 5 N F 1 Q E o j b A A N f 6 X e x j q Y 3 N r J 2 I + k W H E i o V O O C x w g r S X R J Q h X I 7 S C p g V h z B f W l p b W 0 M j w b k P k x g N 1 D w i W R J h y n J d 5 L q B f q h S v o E m x K e M 6 n 0 D F D z G b G n M y L Q K z u B M J F w W 9 j w b N T o t r 3 q Q P B v W 7 Z Z P d c + z s 6 r R s k Y k j n G e H R e 3 l g U e B T w C Q e d 5 N r D N l g c c 9 D R O y t l 3 6 3 Z 7 F N g 2 z D 0 o b q V O P N F J 4 Q K k g v X r H 8 v G G 2 N T m e O N v D R g E c Q U T L q K e V L e p Q 9 J C s Y b Y M j z h h + e v c M P z 6 x f R O M 7 T s D A D u m B B l W l 3 6 J J y / l Q 5 b B g t n K i y k G m y R 0 H Y H Y l l P l 3 7 M C s H Z I / s w b d s V v g Q b 1 0 H h h 8 Q 4 T F 0 D b Y p / U o 0 D Z 4 I n 2 L x 1 C I h g / Z 4 O Q E S 5 V l x X s h K / r 5 z 2 N A e Z U 6 D 0 6 p w v A I L i O O t R L Z8 U U 9 n K J s j k o t q p D W I 6 5 I l x v D D P C H 7 X 5 d g 1 y L P I M 8 i 4 h B x K L

2 7 f d b 2 9 u o u 9 E t L t 3 o / d D r b q F e R Z a d 6 h p e P O l 8O R p z L 4 0 J U 1 6 E p X z b 6 y b q X Y a F o l 5 E 8 o V R K k m C v U s c k M z l / F J h V + a o v F Z Q I r h P p F 4 s j t a v U h x R N U P g E h H Z i s S x 9 D l T j U g 3 A p P L s R i j G K s Q y V n s 8 u h O l M Y m C K K u s W B c h Z Q F L U d G P e I L 7 N X D e z w G o z L D I p 8 L 1 P t m c w 0 R 5 W 2 0 Y m P q C a 6 V z k 2 s I T w Q O A l n b Q n i / B F c K 4 g q 2 K y H Y P B x y 8 G j i u S F R y B 4 m i D o F 5 l r 7 6 w Y m X r T X D v 6 N E j F L c G 0 J o r D y k s P W P 2 S r h 1 G r q 6 W 2 h p F A R d U h b D o H D x t V 8 7 3 y m 8 L r F m x X B U S q K B b c Y S l M W w o L l a h O A r x N U E R U Y o I p G 1 E z N l c n E a K C j 6 p s w G R A W H a m c y r D k B p h A W o 8 b / c w 1 A f n l s 7 E b O x D C N W L H T M Y Y F j p L 0 k o g z h c p R W w L Q 4 i v n C w s r K C h o K z n 2 Y

E o V h k d w G X G k l c i O L u r h F G U z V G p R h b Q e c U W 6 3 B h m g D 9 s 9 + s a 5 F r k G e R Z R A w i F o U G h R Z J g 6 R F U 4 P q W g g M C i y a G T S z 6 M a g G 4 u E Q c K i K 4 O u L G I G 1 V W a G p R a d G T Q k U X X B l 1 b N D F o Y h G P S W B l L H v W B g d P 1 b a i l z f q h G s K v 6 5 h O 8 Z 3 x 7 o N D B p Y d G j Q 4 b z E o g m 8 F R D U C R F 0 a j U v S 6 m Q 3 R S R E d q a Z m 3 T T c N 0 0 y 6 9 O 9 O F W N m p o A 1 B E z o m u m V S X U V K z K p 6 P Y M S t b V 6 Z j d 3 2 s S n t Q x N X E v x o o l f W H z Q x A c W H z fx s c X 7 T b x f y 9 z E h x Y P m 3 h o 8 U k

b a s e 6 4 = " f H N D N u 5 L b 9 H c E w v 7 i d Q 0 V J y I H T 8 = " > A A A M S n i c j Z b d b t s 2F M f V r t v a u N v S D b s a B h A J A r R A 4 t l p 0 D Q X A 5 r Y a R I g C L w 0 a Y v W X U D J l E x E I h W S i q 0 I u t r T 7 H Z 7 j b 3 A X m N 3 w 2 5 2 K I m U l K T D B N g i f + c c f v z P o S Q 3 D q l U v d 6 f d + 5 + c u / T z z 6 / / 2 C h 8 / C L L 7 9 a f P T 1 a 8 k T 4 Z F T j 4 d c v H W x J C F l 5 F R R F Z K 3 s S A 4 c k P y x j 0 f a P u b S y I k 5 e x E p T H 5 E O G A U Z 9 6 W A E 6 W / x +r M h c S S / b l i n z 1 o 5 3 h 2 s 7 e / n j 5 2 s e F + T J 2 e J y r / v 8 6 e a z / j P U 6 2 5 s 9 T e 3 N q H R 7 z 3 d 2 F h H / W 6 v u J a d 6 h q d P e p 8 O 5 5 w L 4 k I U 1 6 I p X z f 7 8X q Q 4 a F o l 5 I 8 o V x I k m M v X M c k M z l / F x h V + a o v F Z Q L L h P p F 4 s D t c u E h x S l S J w C Y l s R e J I + p y p R q Q b g s n l W E x Q h N U U y T R y e X g j S m M T B F G X W D C u p p Q F L U d G P e I L 7 N X D e z w C o z L D I p 8 L 1 P 9 h f R U R 5 X V b s R H 1 B N d K 5 y b W E B 4 I H E / T t g R R / g C u F U Q V b N Z D M P i k 5 e B R R f L C I x A 8 i R H 0 i 8 y 1 d 1 a M T L 1 5 r h 1 9 G i T i m m B a E 8 V h 5 a U H r H 5 J 1 w 4 j F x d L b Y 3 C g A u q p r D o H D x t V 9 7 u l V 8 X W L N i u W p K o I K u x R G W R L C h q F i F 4 m i K L w k K i V J E I G 0 j 4 p b N R U m o q O C z O h s Q G R C m n c l t 1 Q E o C b E A N f 6 X + 3 S q D 8 + 1 n Y h 0 I q c h K x Y6 4 b D A C d J e E l G G c D l K K 2 B e H M V 8 Y W F l Z Q W N B O c + T G I 0 U G l I s j j E l O W 6 y H U D /

1 y R L j e C G e A P 2 / 2 6 B r k W e Q Z 5 F h G D i E V T g 6 Y W S Y O k R X O D 6 l o I D A o s S g 1 K L b o y 6 M o i Y Z C w 6 M K g C 4 u Y Q X W V J g Y l F h 0 a d G j R p U G X F s 0 M m l n E I x J Y G c u e t c H B U 7 W t 6 O W N O u G a w q 9 n 2 L b x 3 b Z u Q 4 O G F h 0 Y d H B b Y t E M 3 g o I 6 o Q I O r e a l 6 V U y G 6 K y A h t T W n b d N U w X b V L 7 8 Z 0 U 6 z s V N C G o B m d E N 0 y q a 4 i J W Z V v Z 5 A i d p a P b G b e 9 X Er 2 o Z m r i W 4 m U T v 7 R 4 v 4 n 3 L T 5 q 4

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Figure 3: Left: Evolution of the convergence accuracy of ASYNC-RED-SG as the minibatch size w increases. The average distance is plotted against the number of iterations with the shaded areas representing the range of values attained over the test images. Middle & Right: Comparison of convergence speed between ASYNC-RED-BG/SG and other baselines. The right table summarizes the total runtime and the speed-up compared with GM-RED for all algorithms.

Speed-up of Async-RED compared with GM-RED

Speed-up of Async-RED compared with GM-RED

acknowledgement

ACKNOWLEDGEMENT Research presented in this article was supported by NSF award CCF-1813910 and the Laboratory Directed Research and Development program of Los Alamos National Laboratory under project number 20200061DR.

annex

f b z g w I S 4 n L v 6 r q j 3 9 V e + w m E Z V q M P j j 0 e P 3 3 v / g w 4 / W n v T 6 T z / + 5 N P 1 Z 5 / 9 I H k q P H L h 8 Y i L N y 6 The shaded areas representing the range of values attained across all test images. We also plot the results of serial BC-RED using the dashed line as reference. ASYNC-RED-BG is implemented to be run asynchronously on multiple cores, while BC-RED can only use one core to perform the computation. The left figure highlights the fixed-point convergence of ASYNC-RED-BG in iteration for different n c , with all variants agreeing with the serial BC-RED. Since ASYNC-RED-BG uses more cores, the middle and right figures demonstrate the significantly faster in-time convergence of ASYNC-RED-BG than BC-RED to the same SNR value. Specifically, BC-RED takes 1.8 hours to achieve 29.00 dB, while ASYNC-RED-BG (n c = 8) takes only 17.9 minutes to obtain the same value, corresponding to a 6⇥ improvement in computation time.Theorem 2 establishes the convergence of ASYNC-RED-SG to zer(G) up to some error term, which is inversely proportional to the minibatch size w. This is illustrated in Fig. 3 (left) for three different minibatch sizes w 2 {1120, 2240, 3360}. As before, we plotted the average distance against the iteration number with the shading area representing the variance. Note that the log-scale of yaxis highlights the change for smaller values. Fig. 3 demonstrates the improved convergence of ASYNC-RED-SG to zer(G) for larger w, which is consistent with our theoretical analysis. Fig. 3 (middle) compares the convergence speed between ASYNC-RED-BG/SG, gradient-method RED (GM-RED), and synchronous parallel RED (SYNC-RED). For ASYNC-RED-SG, we use w = 1120. In particular, ASYNC-RED-SG takes fewer total runtime (from 17.9 min to 13.0 min) to obtain the similar result (29.01 dB and 28.03 dB) and achieves 8.4⇥ speedup compared with GM-RED. The table in Fig. 3 summarizes the detailed results.

5.2. EFFECTIVENESS FOR COMPUTATIONAL IMAGING

We additionally demonstrate the effectiveness of our algorithm by reconstructing a 800 ⇥ 800 CT image from its 180 projections. For block parallel updates, the image is decomposed into 16 blocks, each having the size of 200 ⇥ 200 pixels. The Radon matrix used in the experiment corresponds to 180 angles with 1131 detectors, and the noise level is set to 70 dB. We refer to Supplement D.2 for additional technical details. Fig. 4 shows the visual illustration of the reconstructed images by ASYNC-RED-BG/SG and GM-RED. Each algorithm starts from the filtered back-projection (FBP) of the measurements and runs for 1 hour. Here, ASYNC-RED-SG randomly uses one-third of the total measurements at every iteration. Given the same amount of time, ASYNC-RED-BG/SG successfully mitigates the noise-artifacts, while the result of GM-RED is still noisy. In particular, the per-iteration time cost of ASYNC-RED-BG/SG and GM-RED is 5.23, 3.21, and 19.19 seconds, respectively. This experiment clearly illustrates the fast processing speed of the asynchronous procedure.

6. CONCLUSION

Asynchronous parallel methods have gained increasing importance in optimization for solving largescale imaging inverse problems. We have introduced ASYNC-RED as an extension of the recent RED framework and theoretically analyze its convergence in batch and stochastic settings. We have

