Stable Matching for Spectrum Market with Guaranteed Minimum Requirement

Transcription

1 Sl g Spum Gun mum Rqumn Yno n T S Ky Sw ngg ompu Sool Wun Uny nyno@wuun Yuxun Xong T S Ky Sw ngg ompu Sool Wun Uny xongyx@mlluun Qn Wng ompu Sool Wun Uny qnwng@wuun STRT Xoyn Y Sool mon Tlogy ow Uny X n Sxoyny@gmlom nl ynm pum po p pum (ll) o wo n onl pum (uy) pum m non ul nlly m wn ll uy Toug mpg opmz mg o uly unon l mg mo l oun pn uy ll pou mg ul w ppn n om Wl xg wo on pum mg only on mxmum num nnl uy n pu l-wol mmum pum qumn oul po pop opon wl ommunon u pp w pn nw mwo pum mg o mxmum mmum qumn Dn om onnonl mg polm pum m po llng u pum uly g ol xluly u on uy m nnl n u y mulpl uy wo g o l polm w gn l lgom ll xn D pn (D) ong n n- mg gun mmum pum qumn W olly po ly mg ul Ou mulon ul ow D n % og on mmum qumn wl ln nm lgom l o o uy mo mg ul D n ln lgom Pmon m gl o op ll o p wo ponl o loom u gn ou po op m o u p o omml ng op ull on on pg opyg omponn wo own y o n mu o g pm opy ow o pul po on o u l qu po p pmon /o Rqu pmon om pmon@mog oo 7 July - 7 nn 7 oon ompug y IS /7/7 $ p//oog/p//xoog//88 oun Dpmn ll ompu ngg Uny on n l@onu S OPTS om; W n; KYWORDS Spum lloon l mg mmum qumn Rn m Yno n Yuxun Xong Qn Wng Xoyn Y oun 7 Sl g Spum Gun mum Rqumn Pog oo 7 nn July - 7 pg p//oog/p//xoog//88 ITRODUTIO Spum n pnl ou wl ommunon y lo lm ou pog -g wl m u ll pum o un-ulzon u pum gnmn ynm pum mg llow wl po uy o ll p nnl og m ] pum m non pum nlly mg wn pum ll uy oppo opmzg mg o uly unon l mg mo l pum m u mpon on F uy ll l ul g ou own w nly lgn ym opmzon Wl opml mg my only n l mg oun ul pn uy ll poug mg ul ppn n om Son opmzon ol uully ompuonlly ug om lly polm w unng m l mg lgom polyml Sl mg ollg mon polm w u y Gl Sply pong wo ] w D pn (D) lgom w popo m un ool u mxmum quo ool S

2 oo 7 July - 7 nn Yno n Yuxun Xong Qn Wng Xoyn Y oun n l mg n wly ppl ou lloon ompu u ul m mngmn lou ] u oon mll ll ] pum g -- ommunon ] ow unl onl mg polm pum mg u uly wl ommunon u gnl nuon nmon p wo n ug wll o u n u m nnl T ll llow ll nnl mulpl uy long y o o w po pl llng l mg Spum mg w u ] w n p -g pn lgom w gn ommo pum uly pou l mg ul ow ] only gn y uy mxmum quo n x u l-wol o po pop opon wl ommunon uy lo mmum pum qumn oul S l pn lgom n mmum qumn mg Fg l ] popo n xn pn lgom ool mon polm w ool mxmum mmum quo l u lgom n ly ppl pum mg u unqu u pum uly pp w m gng l mg lgom pum m w uy mxmum quo mmum qumn n pu nnl ll my ll m nnl mulpl n-g uy (pum u) W y lyg mg mwo onp ly m pum mg n n on oul mpo l mg ul ogny pum n n gp onu m pum u n nnl W popo n p D pn (D) lgom pum mg ou mmum qumn w ng pum uly yl n n- mg Tn p y ] w gn n xn D pn (D) lgom pum mg mmum qumn T m uy gul uy n xn uy ully- mxmum quo u mmum qumn n lo pn ul yp uy ply W olly po l mg ul l W lu pmn D oug xn mulon ompg D mg po wllwn oul uon mnm ll TS 7] Unl D n D TS n m mmum qumn ll uy oo uy lo pp mg ul D n o D o TS T m pp ognz ollow W w l wo Son n ym mol pum m Son Son w ou W l un pum nnl mwo pum mg mxmum mmum qumn wll onp ly w pn popo lgom o l pum mg Smulon ul mon Son w ummz ou wo Son 7 RTD WORK uon- Spum lloon T oul uon lo n mpon pum lloon pgm ynm pum oul uon -py uon xu uon mnm pum lloon on uy ll w mg po Su mg n y uon wo o uully nu mxmzon o uuln Wl mg ul pop l y my n nlz onoll uon u l uy ll n om mg ul y o uul pum oul uon w popo ] l pum ogny uul uon mnm w gn 7 9] Typl nu mxmzon uon mnm lu 7 8] Sl g Sl mg n xnly u 9 wn Gl Sply nlyz ool mon polm ] popo pn lgom l mg ] n mg polm om n xm 8 9 ] Sl mg n wly u ou lloon ompu ] lgom w popo m ogu z o ul m lou ] mg mwo w gn o u mll ll ] -- u w m llul u ou g ] ly mm w m nmon p lp po m om oppg g polm mmum quo w u 8 ] Splly n xn pn lgom w popo ] l mg ul ow mg lgom n ly ppl pum mg u unqu u pum uly SYST OD ppn pum m po p nnl ll po wo n onl nnl uy um ll own m nnl p y 7] w m umm ll wom po on nnl m l num ll ll nnl { nnl W u x ngly ll nnl g ll nnl nnl T w ul ll y ll xly on nnl m pp w om m ul" ou onuon { uy nu opon on Fo mply w um nnl pnn om o o y n on ply oml uon n omon nnl my n mg pum lloon mu mo ompl W wll on omon nnl uu wo

3 Sl g Spum Gun mum Rqumn o ml uy mmum pum qumn l loug uy wllg qu mny nnl pol mxmum quo u lmon u ug on n lonp T y u pum uly w mu onm n on n lonp mong uy uully z y n gp w uy n g uy o Dn nnl n nmon ng ulg y n lonp pu u ogny 7] w onu n gp {G ( ) w onn p g uy on nnl { n u wn uy gg nnl I uy n u m nnl Pn uy ll onnonl mg mwo uy/ll xp pn w n ll/uy oug pn l w ompl lx n lon l pn l o ul uy/ll ug pum mg Fo xmpl l pn l ll w I uy n u m nnl uy n u m nnl w n w { mo p n { On pol oluon pn l ll o ll omon uy w unl num pol omon mny omon ong g uy l polm w oow onp om pum uon uy ( ) w p wllg py nnl T pn l uy n mply onu ollow I w n omly m pn lon ll lwy p ll nnl uy wo ggg p g long y o o u uy ll p ) on only n-g uy ggg g n o; ) on only n-g uy u o > o I o o on g uy w n omly m pn lon SPTRU TIG FRWORK ol W mlly pum mg ollow pum uon mpon mg p p y uy ll u pum lloon uon -pnn o gun uuln 7] pp w only g l mg ul u p mon W wll on uu on oo 7 July - 7 nn Don (Spum g) Gn ll uy pum mg mppg u Fo y ll () Fo y uy () Fo y ll uy () only () T mo n p pum mg om ommon goo mg ] n on opong pum uly ommon m n only ol on uy n w () ] ow pum mg w n m n-g uy m nnl () w gnnly mpo pl y u m mo ul l mg pum mg l only n on mxmum quo mmum qumn Don (Fl Spum g) pum mg l n on Fo y ll () uy m m ll oul n- xmum quo mmum qumn Fo y uy l () num nnl m uy oul w n mmum qumn g n mxmum quo Pop uy ll l onl ul wo wll om mg ul y o l pum mg u ul only n nwuln Don (ul Ronly) l pum mg ully onl y uy p un m nnl ny u y ll p un m uy ny u g ully onl l mg n w ou onp yp I log p w lo un mwo pum mg Don (Typ I log P) Gn l pum mg uy ll m yp I log p () () Sll p uy om unly m uy uy o o uy unly m ll () uy p nnl on unly m nnl mlly pg uy ll m yp I log p ( ) () () { () () ()

4 oo 7 July - 7 nn Yno n Yuxun Xong Qn Wng Xoyn Y oun T yp I lo p m pum mg unl u uy n pl l-p nnl mop nnl ll my g g p y g uy l uy u nnl mg uy Dn om on yp I log p ] u n on qu uy only o uy u lo n- om ll o uy () Don (Fn) l pum mg only yp I log p p om yp I log p w lo yp II log p Don (Typ II log P) Gn l pum mg uy ll m yp II log p () () Sll p uy om unly m uy uy o o uy unly m ll () uy n pu nnl ou olg mxmum quo mlly pg ll uy m yp II log p ( ) () () { () () () < T yp II log p m pum mg unl u uy n qu on mo nnl un mxmum quo pu n n ll wll Don 7 (onwuln) l pum mg nwul only yp II log p T n wn yp I yp II log p w o uy wll on unly m nnl mo-p nnl I y ul yp I log p; ow l yp II log p Don 8 (Song Sly) l pum mg ongly l ul onl n-wul ST SPTRU TIG on w on pum mg ou mmum qumn p pn lgom oun pum uly Tn on p pn lgom w lop l mg lgom ulll mmum qumn uy Spum g Wou mum Rqumn T onl pn lgom gn ol ool mon polm un ollow ] T un m ool mxmum quo oun un ppl o ool mong ll ppln ool mxmum quo mpoly pu p mo-p un wg l o ll un num ppln mll n ; lgom p D pn (D) lgom Spum g pu Pn l ll uy pn l ll ll mxmum quo uy n gp G Oupu pum mg () Φ wg l W Φ () Φ l wl Φ o ll Sll n-mpy o Q uy () F mxmum wg pnn on Q Q mx 7 n 8 Q mx Φ n 9 Run l ll uy Q mx o Sll ppl uy Sll mo uy om l { uy ll wg l W W { n n 7 ll uy n-mpy W o 8 uy p mo n mo-p nnl W () nw () o 9 l wg l W Φ n y ll mg () n wl Run o ppln ollowg oun un ppl mo-p ool n ool wg l y lg p un mong un ppln o pou wg l T po p unl ll un xu ool y n pply p ogl pn lgom opo pum uly w um l o mmum qumn ny uy W w ll un uy ool mxmum quo pplyg only on uy oun ll n pply n-g uy lgom w n mpy mg uy ll ppl T lgom un ollow () oun ll oo u uy o ny uy () y Q (l 7) n mxmum wg pnn mong uy on y Q mx (l 8) Q mx uy ll n pply un oun I Q mx mpy ll

5 Sl g Spum Gun mum Rqumn oo 7 July - 7 nn 9 8 D 9 D 7 D 9 7 D {D {D { { { D { { {D {D { { { D { { {D {D { { { { D { { () n gp () F oun () Son oun () T oun () Fl mg ul Fgu y xmpl p D pn (D) lgom (lgom ) lgom Spum g Tnmon pu uy ll pn l uy pn l ll mxmum quo mmum qumn uy l n gp G Oupu uy Ñ ll pn l uy Ñ pn l ll mxmum quo uy Ñ n gp G Ñ Φ Ñ Φ ll o Ñ Ñ { Ñ Ñ { l l n 7 Ñ Ñ Ñ 8 ll o 9 ng ll G o G ll g G n g wn n n ll lgom m un mg ul (l ); ow po nx p () Sll ppl y uy Q mx mo m om (l ) uy wo pplon wll opong ll wg l W (l ) () uy n-mpy wg l W wll l mo n mo-p ll om W () o uy () l ll (l ) () ll ll mg ul og o uy (l ) y xmpl Fg ll ( ) uy ( ) T mxmum quo uy ( D ) ( ) T n gp on nnl Fg () lu uy ogu n nnl uy pn l n onu om ll nnl o u pum ogny nmon ng n nnl n lg ogu n lonp Fo xmpl uy uy o on long-nmon-ng nnl u o o on o-nmon-ng nnl T po p pn lgom Fg () () g ll pply n-g uy mxmum ggg on own n gp (Fg ()) uy D p o nnl D uy ll uy p nnl nnl uy uy o p nnl on oun n oug ll mpy ( { ) n pply ny uy y ll uy o D wo unly m ll Q mx Φ T m u ll on ll n pply uy wo n u nnl uy D (Fg ()) S mxmum quo uy g nnl mo-p nnl Tn oun ll n pply uy { D wo uy u uy (Fg ()) W n Q mx mpy ll ll l pum mg ul gn Fg () Spum g W mum Rqumn mmum qumn mg w p y xn pn lgom ] mmum pum qumn uy T uy gul uy n xn uy gul xn uy ogl uy ply y g mxmum quo gul uy l mxmum quo xn uy l w lm mmum qumn ll uy Fo ommon goo w l l m gul uy (gn mo n l m xn

6 oo 7 July - 7 nn Yno n Yuxun Xong Qn Wng Xoyn Y oun lgom xn D pn (D) lgom Spum g mum Rqumn pu Pn l uy Ñ pn l ll mxmum quo uy Ñ n gp G Oupu Spum mg Ñ () Φ wg l W Φ () Φ l Ñ wl Φ o ll Sll n-mpy o F Q mx lgom n 7 Q mx Φ n 8 Run 9 l ll uy Q mx o Sll ppl uy Sll mo uy om l { uy ll wg l W W { n n ll uy n-mp W o 7 Ñ n 8 uy p mo n nnl W () o 9 l wg l W Φ l ll Ñ o W W () () Φ n wl < W Φ ( ) < o ( ) < W Φ n 7 uy oo mo-p nnl W ( ) ( ) { 8 W W { 9 n mo Ñ n wl n W Φ n n wl uy) mxmum quo wll ll w mn mmum qumn ll ogl uy wll l lul ow mny nnl ol gul uy pum mg n-l Fo xmpl uy n wom o mmum qumn g nnl w n u p nnl ll uy u ulll mmum qumn on w um num nnl n gn xn uy ( nnl gul uy) ou xn pn lgom l l mg n w xpl ow ompu g Tnmon T nmon pum mg mmum qumn pum mg ou mmum qumn lo lgom T ll unng T pn l gul uy xn u m ogl uy (l 7) T pn l ll onu y g xn uy g gul uy ou ngg qun ogl pn l (l ) Wn ulg n gp nnl w gul n xn ogl gp T ll n lonp ogl n g wn m u y n m nnl y nlly pn m uy g lgom Gn nm uy ll pum mg lgom lgom T po ll pplon ml lgom u unl lgom w n ul gul uy xn uy w p o ll () I uy long gul uy Ñ wll p mo n nnl om W () (l 7 9) ml lgom () I uy long xn uy Ñ w wll on ll o xn uy ng mg ul oun o num nnl gn ll xn uy (l ) Fly w wll pu y xn uy m nnl () wg l W l m nnl (l ) Tn w qunlly xn uy p o x uy g on lly () I num nnl m ll xn uy qul ( mxmum num nnl ll xn uy) o y xn uy n mpy wg l o ulll mxmum quo lgom un p () (l ); ow lgom po p () () uy n oo mo-p nnl om wg l (u on nnl) long mxmum quo ( ( ) < ) wg l n-mpy (P Φ) y un p () Gn mg ul lg w n o ogl mg () ( ) ( ) () o () n () Dm ow w m ow mny nnl gul uy um mmum qumn y uy nnl omogu ( n gp m) n g num nnl quln gp olog polm olog

7 Sl g Spum Gun mum Rqumn lgom Dmg pu uy ll mmum qumn uy n gp G Oupu ll G o pl G ll g G n g wn p n Φ 7 om l ll uy 8 wl mpy o 9 Rmo uy om l u nnl gn ngo mong mpy n gn nnl low x l gn nw nnl low x { { n 7 n wl 8 n gp u n m olo y w pol olo gp olo olog polm w P-ompl xp { oom u ompuonl n w popo gy lgom lg Fly mmum qumn uy w my g n w ul uy pl ogl uy n gp Sml Son ul uy ll n lonp ogl uy y ul uy m ogl uy n g wn m wy w u ogl polm olog polm W n ll uy p o { g y nnl n x nnl ly n u on w p uy (l 9) nnl u y ny ngo mong (l ) I ulg nnl n-mpy w gn ll nnl low x (l ); ow w nw nnl om T po onu unl ll uy gn nnl T num nnl gul uy num nnl xn uy y xmpl W um uy x ll T pn l uy ll Tl Ug lgom w n o nm uy ll lo Tl Fo mply w um W only oo n gp nnl long nmon ng (l n pum u) lul num nnl gul uy uu wo w wll on ogu n gp mg T qun uy my pmn lgom u ul m opml qun W wll l uu wo oo 7 July - 7 nn Tl y xmpl l n gp m ll nnl mmum qumn uy ( ) w ul uy Fg () x o uy w gn nnl uy nnl uy nnl uy ulg { Tn nnl gn uy o y ngo Flly w nnl W n nnl n gul uy T w n ompu oun Fg () ll ppl uy ll o ll ppl uy uy uy p ll ll ply uy p ll mxmum quo on oun Fg () ll ppl xn uy ll ppl xn uy Rll ll xn uy n mo n nnl T wg l uy Φ { { W p uy wg l mpy uy p ll n uy p ll mg oun Fg () ll ppl uy wo p T l pum mg ul Fg W n ll mmum qumn m

8 l mpy mpy x mpy wl 8l l l l om n wl mpy o n 8 n wl wl Rmo 9mpy Rmo uy om l o o ll om uy 8 mpy mpy mpy ow n p wl mpy g n lg wn 8 wl o mpy o 7 Rmo wl l uy 8 o o 8 wl 7n wn l uy 8 low 9mpy uy om l l n 9 om pl G uy n u nnl gn p wl ll o o n p x om ll g G l low n pl wn g n pl G w nnl low mpy G l x gn nnl uy x om G Rmo uy 9 om x l Rmo uy om l Rmo gn nw nnl low x 9 Rmo uy om l gn nw nnl low x u nnl gn l l gn nnl low x l gn gn nnl low 9 uy l 9 Rmo uy om l Rmo uy om l 9 Rmo om l n 8 wl mpy o 9 Rmo uy om l 8 wl mpy o 9 Rmo uy om l u nnl u nnl gn p ll g G go n u nnl gn n mong nnl g G x gn nnl x ll x G ll low g nnl nnl low u ll gn uy g low G u gn low l l l nw u nnl gn gn nw x u nnl gn ngo mong l l 7 om ll uy u nnl gn u nnl gn 7 om l ll uy u nnl gn u nnl gn 9 Rmo uy om l nnl gn ngo mong 9 Rmo uy om l u nnl ngo mong 7mpy g om ll uy l l low x n wn p l om o n 7 om ll uy o mong 7 ll uy n g wn p n g wn p mong l ll uy gn nw nnl low x y o ngo mong l ngo { { g G ll mpy n nnl mong 8ngo gn uy ngo o87 8l go gn nw nnl x l nw nnl low x ngo o l mong ngo mong u wl { { wl mpy mong wl { { l mpy n gn lu ll low mong o mpy n uy 8 nnl om go o mong gn mpy mpy o mong n ngo 7 om 7 om l ll uy 8 wl mpy wl mpy o nnl low x n mpy n n l py o uy om l mpy n { mpy n gn nnl low x gn nw nnl low x n n n 8 mpy n { 8o 9{ mpy mpy wl { { 9 Rmo uy om ngo n 9 Rmo uy om om low l x gn low x mong mpy o l n n n mong mpy l mpy n l l mpy mpy mpy ngo 9 8 Rmo uy om gn nnl nnl mpy wl { Rmo uy wl o 9 Rmo uy om l nnl low x gn x gn nnl low x { { gn nnl low x uy om l nnl gn l gn nnl low { { gn nnl low x gn nnl x uy Rmo nnl x l x wl { l { gn nnl low x low low nnl gn gn gn l n u gn n l u nnl o mpy n gn mpy n nnl low x low 9 u nnl gn 7 om ll uy n wl 9 Rmo uy om nnl uy 9 uy om l gn 7ll nnl om ll gn om l uy l Rmo x om u nnl nnl low l 7 u om l mong l gn { mong nw x nnl 7 nw nnl 7 low x u gn l n l o l Yuxun Y l n gn nw nnl low ngo gn nw nnl low x ngo mong { gn nnl low x gn nnl low x l 7 n wl oo 7 July - nn Yno n Xong Qn Wng Xoyn oun ngo mong wl u nnl gn l mpy 8 ngo mong u nnl gn 8 gn 8 mpy o u nnl 8low o wl ngo mong x gn gn wl x mpy nw nnl gn nnl nw low low gn nw wl x nnl wl x x x n nw nnl low x nw nnl mong nw 7 gn low nw nw low 7 n l gn nw nnl gn low n wl x low gn mpy low x nnl n l gn nw nnl n nnl l n gn nnl low x mpy n ngo mong nnl Rmo uy om l 8 mpy n n ngo mong mpy 9 Rmo uy om { mpy ngo mong 9 Rmo om l l uy w x { { 8 gn nw nnl low x { low gn low gn yl n { low { 8 nnl nnl { gn nnl low x nnl gn nnl low x low x gn nw nnl low x gn x { x u gn mpy n 7 n wl gn nnl x mpy nnl u nnl gn mpy n u nnl gn n n gn { x { { l { l { { l { { { { { { { { x { { nnl low { n x low n { { { { low low ngo mong low l gn gn nnl x { l ngo mong gn 8 ngo mong nnl low x nnl x { n gp gp n olog n 7 n wl n 7 n wl og n nnl 7 wl nnl gn low x polm n gp gn low nw nnl low x olog polm olog n gp n n gn nw nnl x { nw gn low x olog { n gn nw nnl low x mpy { x nw nnl low mpy n l n {{ n l l w mpy n x { { nwl n wl n wl 7 n wl 7 n wl 8 low x 7 7 n wl 8 m olo n gp 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W um uy Tl popo gy lgom lg Fly ll xn num nnl xn Tl Ug lgom w o I Fo xn ogl uy n gp Sml w ompuonl nm uy lgom lg Fly Tl I Ug lgom w n o n m olo ogl uy n gp Sml p olo I Ug lgom n o Sml Tl n gp uy lo l uy n gp u n m olo u n m olo nm uy ll lo Tl I Fo u n m olo u n m olo olog polm w P-ompl xp { oom u n nm uy ll lo Tl I Fo gp Sml y xmpl W um uy olog polm w P-ompl xp { oom u ompuonl n ompuonl y mmum qumn uy ll y w { oom u n n m olo xmpl W nm uy ll lo Iuy Fo xmpl W um uy num ogl uy n gp lonsml olog polm olog gp n Tl l uy n gp lg Sml o Son gp olo oom u ompuonl n olog polm olog n gp nm uy ll lo Fo uy { n gp Sml Son III ul lolog polm olog n gp xmpl um uy n { w popo ll gy lgom lg Fly nm ll lo Tl I Fo olo nnl uy w w gy lgom lo lg Fly III ul uy ll n xn nm uy ll Tl Ium Fo w popo ul lgom lg Fly n gp xn nm gy lgom popo uy mmum qumn uy w ul uy ll n lontl num nnl uy y w popo gy lg Fly popo ul gy lgom Fly I ll g gp lon opo gy lgom lg Fly mmum qumn uy olo w ll I mmum uy olo W w uy lo Tl Fo n lon qumn x T pn l uy ll I m olo olo Son III ul uy ll n lon y mpl xp y pol olo gp nm uy ll lo Tl I Fo mum qumn uy w Son III uy ll n y w pol gp uy ll n lony w pol olo gp olo nm uy lo Tl I Fo y xmpl W um uy y w pol olo gp nm uy ll lo Tl I Fo y xmpl W um uy mply w um n gp m y w pol olo gp olo { oom u ompuonl n w popo gy lgom lg Fly y xmpl W um uy x ll T pn l uy ll xmpl W um uy mply w um n gp m num nnl xn uy { oom u ompuonl n Tnm w popo gy lgom lg Fly y xmpl W um uy ll n lony xmpl W um uy mply w um n gp m x ll T pn l uy ll w popo gy lgom lg P-ompl xp l olo uy gp n olo num ll uy l ll my g w ll ul uy pl uy uy um u n olo { T um Son III ul uy ll n lon m olo u n m olo w n gp uy m {m mply mply w n m nnl y lgom nnl lg Fly mmum qumn w pn w I ul ll n lonu n m olo mmum qumn uy y gp w {gp l x Fly T pn uy mply n gp m uy num xn p ogl uy y ul uy ll lon mmum qumn uy xn ul w my n w ul mmum qumn uy x gp w mply w um n m ll num nnl xn uy ul mmum qumn uy uy w p ogl uy y ul uy my g n w uy W pl mmum qumn uy w y xmpl W um xmpl 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olo qumn uy w my g n w ul uy pl ogl uy gp Sml Tl I Ug lgom w n o my g n w ul uy ompl xp ogl uy y ul uy () n gp () F oun () Son oun () T oun () Fl mg ul ll nnl mmum qumn uy ll nnl mmum uy g n w ul uy pl ogl uy n gp m Sml g n w ul uy wy pl m ogl uy g wn wy xn num xmpl W um uy ll x ll Ug uy T pn l uy y ul uy y ogl uy n gp wn Sml num nnl xn uy m ogl uy n g wn m wy y xmpl W um uy x ll Ug y T pn l ll uy l olo gp olo n g wn m wy wn lg Fly x ll n T pn l uy ll m ogl uy n g wn m wy n { oom u ompuonl n ll nnl mmum qumn uy u n m olo nnl uy ul m ogl n g m wy { oom u ompuonl n gp Sml lg Fly Tl I Ug lgom w n o { oom u ompuonl n u n m olo nm uy ll lo Tl I Fo Tl I lgom w n o gl uy n g wn m { oom u ompuonl n Tl I Ug lgom w n o nm uy ll lo Tl I Fo { oom u ompuonl n mmum qumn uy w l xp m wy my g n w ul uy pl n m olo Tl I lgom w n o ll nnl mmum qumn uy x ll T pn l uy ll nm uy ll lo Tl I Fo Tl I Ug lgom w n o mmum qumn uy w my g n w uy pl ll nnl mmum qumn uy y xmpl W um uy Tl I Ug lgom w n o ( ) w ul uy Fg () x nm uy ll lo Tl I Fo my g n w ul uy pl ll nnl mmum qumn uy wn m wy om u ompuonl n nnl gp olog polm w P-ompl xp ) w ul Fg () xlgom y xmpl um uy y xmpl W um uy polm ogl uy n gp Sml W ( ) w ul uy Fg () xxn W uy w uy olog polm w P-ompl xp ompuonl n ogl uy n gp Sml num xn uy ( ) w ul uy Fg () xlgom y xmpl W um uy Son III ul uy ll n lon ogl uy n ) Sml ( ( ) w ul uy Fg () x Son III ul uy ll n lon ogl uy n gp w Sml w w olog polm P-ompl xp nm uy ll lo Tl I Fo n ul uy pl m ogl n g wn m wy Son III ul uy ll n logl uy n gp Sml ( ul uy Fg () x gl uy n gp Sml x ll T pn l uy ll Tl I Ug w n o l uy n g wn m wy Son III ul uy ll n lon w u ogl olog polm x ll T pn l uy ll num nnl ( ) w ul uy Fg () x Tl I Ug w n o wn m wy uy w w popo gy lgom lg Fly w u ogl polm olog polm W P-ompl xp num nnl xn uy w u ogl polm olog polm W uy w Tl I Ug lgom w n o y w pol olo gp olo ( ) w ul uy Fg () x w popo gy lgom lg Fly puonl n w u ogl polm olog polm W l polm olog polm W num nnl xn uy nm uy ll lo Tl I Fo y w pol olo gp olo nm uy ll lo Tl I Fo w popo gy lgom lg Fly ul uy ll n lon w popo my gy lgom lg Fly og ogl x olog polm W nm uy ll lo n Tl Ix Fo mply w n gp m nm uy ll lo Tl I Fo my g n w ul uy w popo gy lgom lg Fly w Fly pol olo l gp Son olo ogl uy n Sml mply w um gp m um ll W Son pn l uy ll mply n gp m nm uy ll lo pl Tl Iw Fo Tl Iy Ug lgom w n o g n w Sml ul uy pl ogl uy n gp Sml n nm uy ll lo Tl Iuy Fo um ( ) w ul uy Fg () x oom ll x ll polm T pn uy ll polm mply w gp m num nnl xn uy lg ( ) w uy Fg () ogl uy n gp oom um gp T ll T pn l uy n { u ompuonl n x ll y T pn l uy ll gom lg Fly o uy Ug w gn wn lg olog polm W y xmpl W um u ul uy ll n lonson III ul uy n lon o w w gn ( ) w ul uy Fg () x ll { u ompuonl Fgu xmpl xn D pn (D) lgom (lgom ) o uy w gn y xmpl W uy Son ul uy ll n lonp uy y ul uy III ul uy ll n lon o uy w um gn n x ll { oom u ompuonl y xmpl W um uy o uy ll w gn p ogl uy ul uy p ogl uy y ul uy y xmpl W uy mply w um n gp m on ul uy ll n loniii ul uy n lon o uy ul um gn ogl n n gp Sml polm Tl I lgom w n o y xmpl W um uy nm uy ll lo Tl I Fo w u ogl polm olog W p ogl uy y ul uy ul uy pl ul uy pl Tl I Ug lgom w n o nm uy ll lo Tl I Fo ogl polm olog polm W Fly y xmpl W um uy mmum qumn uy w on n ll uy p o { n ll uy p o { olog polm w P-ompl xp nm uy ll lo Tl I Fo oom u ompuonl n mmum qumn uy w olog polm W o uy w gn n uy p o { mply w um n gp m n ll uy p o { y xmpl W um uy olog polm w P-ompl xp mply w um n gp m o uy w gn mmum qumn uy w mmum qumn uy w mply w um n gp m ll nnl mmum qumn uy nl uy y ul uy mply w um n m o popo xp ll m w III uy p { Tl olog polm P-ompl Tl Ug lgom w n o ogl uy n gp Sml qumn uy III ll n w Son ul uy n lonxn I{ Iw Ug o ll nnl uy lon Tl w mply um n gp ogl uy n gp mply Sml w um n gp m gy III ul uy ll n lonson w lgom mmum qumn ll nnl mmum Tl II Ug lgom w o gp uy nm uy lo Tl I Fo y xmpl W um uy m ll nnl qumn uy num uy uy Ug lgom w n o o uy uy pn w gn ul uy ll n w popo lgom lg x ll uy T pn li p ogl uy y ul uy num nnl xn p ogl uy y ul uy uy w o uy uy pn w gn nnl 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nm uy lo Tl Iu Fo W nm ll lo Tl I Fo nnl uy uy n g wn m wy yn oom u ompuonl n nnl n x nnl x ll x T pn l uy ll Son III ul uy ll n lonp ogl uy y ul uy ( ) w ul uy Fg () x my g n w ul uy pl y xmpl um uy ll nnl mmum qumn uy nuy x nnl ll nnl mmum qumn uy Son III ul uy n lonp ogl uy y ul uy nm uy ll lo Tl I Fo ( ) w ul uy Fg () ( ) w ul uy Fg () x mply w um n gp m Tl I Ug lgom w m ogl uy n g m wy mmum qumn uy w p ogl uy y ul uy m ogl uy n g wn m wy nnl uy nnl uy nnl uy ulg { Tn nnl w ul uy pl Tl I Ug lgom w n o w u ogl polm olog polm W m ogl uy n g wn m wy mmum qumn uy w ll n lonnnl m ogl uy n g wn m wy luy uy pl nnl nnl uy nnl uy nnl uy ulg { Tn nnl Tl I Ug lgom w n o w u ogl polm olog polm W uy ulg { Tn nnl y xmpl W um uy Tl I Ug lgom w n o nnl Tl I Ug lgom w n o p ogl uy n g wn m wy mmum qumn uy w ogl uy n g wn m wy uy ulg { Tn nnl nnl uy nnl ( ) w ul uy Fg () x uy ulg { Tn nnl mply w um n gp m n lon ll nnl mmum qumn uy Tl I Ug lgom w n o w u ogl polm olog polm W ogl uy n gp Sml mply w um n gp m y ul uy ll nnl mmum qumn uy w u ogl polm olog polm W uy ulg { Tn nnl w popo gy lgom lg Fly ll mply w um n gp m ly n u on w p uy n gp Sml g y nnl n x nnl ( ) w ul uy Fg () x ogl Sml I ( ) < on oun I ( ) ( ) Pop x T pn l uy ( ) w ul uy Fg () x w popo gy lgom lg Fly ll nnl mmum qumn uy mply w um n gp m Tl I Ug lgom w n o ly n u on w p nnl n x nnl o uy w gn ( ) w ul uy Fg () x mply w um n gp m Tl I Ug lgom w n o x ll T pn l uy ll ogl uy n gp Sml ( ) w ul uy Fg () x uy n gp Sml qumn uy w ly n u on w p opo gy lgom lg Fly o uy w gn uy ulg { Tn nnl p ogl uy y ul uy m ogl uy n g wn m wy ly n u on w p ogl uy n gp Sml gl polm olog polm W ly n u on w p nnl m ( ) w ul uy Fg () x x ll T pn l uy ll ( ) w ul uy Fg () x p ogl uy y ul uy ogl uy n g wn m wy mply w um n gp m uy ulg { Tn nnl o uy w gn n u on w p nm uy ll lo T Sml w u ogl polm olog polm W y ul uy w u ogl polm olog polm W my g n w ul uy pl y xmpl W um uy ll nnl mmum qumn uy m ogl uy n g wn m wy nm uy ll lo Tl I Fo o uy w gn nm uy ll lo Tl I Fo n ll uy p o { gn uy o y ngo w u ogl polm olog polm W w u ogl polm olog polm W my g n w ul uy pl n gp Sml y xmpl W um uy uy ulg { Tn nnl n ll uy p o { gn uy o y ngo ll on w p qumn nm uy ll lo Tl I Fo nm uy ll lo Tl I Fo u ogl polm olog polm W uy ulg { Tn nnl u ogl polm olog polm W x ll T pn l uy ll my g n w ul uy pl oson ul uy y xmpl W um uy gn uy o y ngo ll nnl mmum qumn uy ( ) w ul uy Fg () nm uy lo Tl I Fo n ll uy p o { gn uy o y ngo o uy w gn ll nnl mmum qumn uy Son III ul uy ll n lon w p gn uy o y ngo l n lon ll nnl mmum qumn uy uy ulg { Tn nnl ( ) w ul uy Fg () x nm uy ll lo Tl I Fo mmum uy w ll nnl mmum qumn uy Son III ul uy ll n lon n g wn m wy uy (l 9) nnl polm ll ppl uy w nully ( ) o ( ) uy o uy Tl gn n ll uy uy p o { p wn y o uy Ug gn mmum qumn uy ogl ) w I nnl w gn uy x lo o y ngo ll nnl mmum qumn uy ong (l 9) nnl I nnl T nnl w uy w ( w ul uy Fg () x o lgom o W w gn n u on w p lgom o w n w gn p III ul uy ll n lonson III ul uy ll n lon Tl Iw Ug lgom w n nm uy ll Tl Fo uy nnl uy nnl uy pn nnl ly ly n u on w p o mmum qumn uy w w ul uy pl Toug ly mo l ollowg popoon ll m ogl uy n g m wy w u () olog polm Son III ul uy ll n lon uy (l 9) nnl (l 9) nnl n lonuy p o { gn uy o ngo uy w gn o gn wn m wy ll nnl mmum qumn uy Tl I Ug uy m ogl uy n g wn m wy w u ogl polm olog polm W uy (l 9) nnl nnl uy nnl uy nnl mply w um n gp m on w p mply w um n gp n uy o { n ll uy o { x ll l uy ogl uy n gp Sml y g y nnl n nnl mply w um n gp m n uy p o { gn uy o y ngo w u ogl polm olog polm W Flly w nnl W n ll uy p o { 9) nnl ( ) w ul uy Fg x x ll T pn l uy ll ogl uy n gp Sml g y nnl n x nnl uy ll n lonnnl uy nnl uy nnl Flly w nnl W gp ( m ) w ul polm x mply w um n gp m uy o g { n ny Fg () nnl () mply w n m uy o y ngo n wy nnl uy ll uy p p o x { Fg g mply w um n gp m o ul x ll T pn l uy ll ogl uy n gp Sml ( ) w ul uy Fg () x ( ) w ul uy Fg () x nnl o uy w g g y nnl n nnl Tl I Ug lgom w n o mply w um n m gn uy y ngo p ogl uy y uy uy Flly w nnl W ogl nnl x u uy nnl y o Flly w nnl nnl W my n w uy ul uy pl ( ) w ul uy () o uy gp w gn p uy y So w on ll ppl uy S nnl uy nnl uy nnl Fg uy Tn y ny ngo mong uy ll ul gn Flly w nnl nnl W nnl uy nnl uy nnl my w ul uy pl ( uy ) w ul x uy gn uy uy o ngo nl polm w olog W nnl nm uy lo ulg { T o nnl uy u p ngo mong nnl ul nnl uy um lo nnl x g y nnl n nnl o uy nnl w gn ul uy nnl p ogl uy y ul uy ogl uy y uy nm uy ll Tl I Fo uy { llll nnl o n olog polm W u my x o Flly w nnl ulg W uy (l 9) g n ll uy pl mply w um n gp m w olog W n ll p { ll nnl nnl mmum qumn uy ogl uy y ul ( ) w ul uy Fg () x nnl polm uy nnl ul uy nnl nnl nl gp Sml u y ny ll ngo mong u ll ul uy nnl uy nnl uy log (l 9) nnl n x nnl n Flly w nnl polm w u ogl polm ogl olog polm W o u y ny u ngo W n ll uy p { w mong uy lo Tl ITn Fo uy ulg { Tn nnl ll nnl mmum qumn g y n x nnl nnl p g y nnl n x nnl W Tl I Ug lgom w n o u y ny y ngo mong ul uy ll n lon ly n u on w p III o mmum qumn uy g nnl n x nnl nnl nnl g y nnl x nnl n { o n Tl Iuy Ug lgom w n o uy nnl w gn n ll uy y p { uy Son ul uy ll n lon ly n on w p nnl mmum qumn uy nnl n m polm wy o uy nm w gn n nnl xn uy n y ul uy o uy gn gn ny ngo mong III uy Son W Flly w nnl W ll nnl mmum qumn uy y nnl n x nnl ll mmum qumn uy uy ulg { Tn nnl y nnl n x nnl Tl I Ug lgom w n o go mong Son III ul uy ll n lon ly n u on w p o w gn m ogl uy n g wn m wy nnl uy nnl uy nnl Flly w W ll nnl mmum qumn uy n nnl n ogl n gp Sml nm uy ll lo Tl I Fo mpoly m uy o n oun ulg { Tn nnl o uy w gn m ogl uy n g wn m wy nnl uy nnl uy nnl Flly w nnl W ulg Tn nnl m wy o uy w (l ) I ulg nnl n-mpy w gn uy ulg { Tn nnl n nnl n ogl uy n gp Sml gn uy o y ngo { mply w um n gp uy ulg { Tn nnl (l ) I ulg nnl n-mpy w gn uy ulg { Tn nnl n nnl n nnl p { ( ) w ul uy Fg () x m ogl uy n g wn m wy uy nnl uy nnl Flly w nnl W gn uy o y ngo u o m ogl uy n g wn m wy mply w um n gp m Sml gl uy n gp ly n u on w p mong o uy w gn ll nnl mmum qumn uy n ll uy p o { g y nnl n x nnl m ogl uy n g wn m wy uy ulg { Tn nnl u y ny ngo mong I ulg nnl n-mpy w gn uy ulg { Tn nnl n nnl n uy ll n lony n on w p n ll uy p o { g y nnl n x nnl ( ) w ul uy Fg ly n u on w p gn uy o y ngo n mply w um n gp m ly n u on w p n nnl n o u y ny ngo mong uy nnl uy w nm uy ll lo Tl IFo n-mpy nnl ( ) ul uy p w Fg () x (l ) I ulg nnl w gn uy uy (l 9) nnl ( ) w ul uy Fg () x ly n on w p uy on ogl p uy y ul uy m olog W ly n u p ll nnl uy uy w nnl nm uy ll lo Tl I Fo gul uy T w n ompu nnl p uy (l ) I nnl n-mpy w gn uy u nnl 9) g y nnl n x ogl nnl p uy y ul uy xn ngo mong ulg w Popoon Song l mg o lwy x gul uy T w n ompu { n-mpy polm n g wn m wy nnl nnl uy nnl nnl ( ) w ul uy Fg () x ly n u on (l nnl ( ) w ul uy Fg () x ly n u on w nm uy ll lo Tl I Fo n-mpy uy nnl u ogl polm olog polm W g nnl w gn uy (l 9) nnl log polm W nnl uy nnl uy uy ulg { Tn nnl gn uy o y ngo p ogl uy y ul uy ( ) w ul uy Fg () x w Son III ul n lon ll mpoly uy oun w gn n nnl n gul T w n ompu w u ogl polm olog polm W nnl uy nnl uy n nnl n gn uy o y ngo nnl uy nnl uy nnl uy ulg { Tn nnl gn uy o y ngo mply w um n gp m gn uy o y ngo Son III ul uy ll n lon ll nnl low x (l ); o w gn Flly w nnl w W n nnl n gn uy o y ngo ll nnl mmum qumn gn uy o y ngo gul uy T n ompu ll nnl low x (l ); () w W w u ogl polm olog polm W nnl x gn nnl u polm Flly olog polm W ulg ngo on { w Tn nnl ll nnl mmum qumn gp uy gul uy T w n nn III ul uy ll n lonnnl uy nnl ogl uy w nnl nnl uy g y n x nnl ly n u p x n uy uy p nnl n w u polm olog polm W gn uy o y ( ) w ul Fg o uy x (l w w gn uy ulg low { Tn nnl nnl gn uy o uy ul (l 9) nnl l nnl x ); l o uy uy { (l 9) { 9) w g y nnl n nnl ly n u on w w nnl uy W -mpy uy (l 9) nnl Flly nnl ngo (l ) I ulg nnl n-mpy gn mply w um uy ulg Tn nnl y y uy ll nnl mmum qumn uy ompu n uy T w n ompu uy u y ny mong ngo o gp w gn ogl (l 9) nnl gul T n ompu uy (l 9) nnl m ogl n g wn m wy uy nnl n-mpy w gn w m y l ll nnl low x (l ); u y ngo mong wy n uy ny m ogl uy n g wn m ly n u on w p gul nnl m m ll (l um nnl low x (l ); uy mply o uy Flly w gn ulg 9) nnl olm olog polm W o w w gn I (l 9) nnl p n-mpy w gn uy ulg { Tn nnl mply w um n gp m n ll uy p o { on w p p T u y ny ngo mong og lgom wll uy ulg { Tn nnl gn uy o y ngo p ogl uy y ul uy nnl o w gn nnl uy nnl uy ogl uy n g wn m wy uy ulg { Tn nnl ll n ll uy p o { w nnl W l low x (l ); w x (l ); Flly w nnl W Flly w nnl W uy ulg { Tn nnl gn uy o y ngo p ogl uy y ul uy Flly w nnl W ow w nw nnl om n nnl n nnl mmum qumn uy Flly w nnl W gul uy T w n ompu gul uy w n ompu Flly w nnl W ( ) ul uy Fg ow w nw nnl om n nnl n nnl uy nnl uy nnl n ll uy o { gul uy T w n ompu gn uy o y ngo n ll uy p o { uy { nnl Po Iu n po ] ommon goo (( ) ul uy Fg () x uy o y ngo x ogl y ul uy gn n u on w p o nnl ngo ly n on w polm uy (l 9) on Flly w nnl p w W gn uy o y ngo n ll uy ulg o { y y mong Tn I ll Flly w W uy w gn nnl uy nnl n u ny nnl (l ngo mong w uy nw nnl om u ny n-mpy ngo mong n nnl n nnl ly u w uy p om 9) nnl ll nnl mmum qumn uy ogl gul n ompu y ny ngo mong ); uy u (l ) ulg nnl nnl w gn y ny (l (l ngo mong n nnl nnl uy nnl ngo ( ) w ul uy Fg () x u y ny mong T n-mpy u y ngo nnl n g wn m wy nnl mmum qumn uy ll nnl low x p w u polm nnl olog ulg nnl u ); ) I ulg nnl w gn w ogl y y x on p o l nnl low (l w u ogl polm polm W olog nnl nnl l nnl ow w nw nnl om w oun Fg popo nnl gn uy nnl y ny (l ngo mong gn (l uy { Tn nnl nnl ul u ny ngo mong uy nnl uy g nnl n x nnl { uy Tn ll mmum qumn uy o { 9) (l ll w ); nw uy l p ( ) ) ll T uy ) I ulg n-mpy w gn oun Fg () popo m uy g wn gn uy o y uy o y uy n y ngo Flly w W nnl m uy nnl uy T ); uy g y n x nnl W ( n uy nnl n nnl o ow x (l w u ogl polm ny olog polm W ll w n uy () nnl n m ogl uy n g wn m wy gn uy o y ngo Flly nnl W ulg Flly nnl T po onu unl ll uy gn nnl gul T w n ompu om w n nnl (l uy nnl n n n-mpy ny nnl n Flly nnl nnl ngo W n w nnl n n wy oun { nnl n on ow nw nnl om o uy nnl popo oun Fg () ll popo ( ) w uy Fg () x po onu unl ll gul uy T w ompu on w p uy g y nnl n x nnl ou uly) mululy n-wul mg gn uy o y ngo w nnl gn n W g y nnl n x nnl o uy w gn ogl uy n g wn m wy Flly w W uy (l 9) nnl n nnl n u y ngo mong g y nnl n x nnl 9) nnl n nnl n uy ulg { Tn (l ) I ulg nnl n-mpy w gn (l ) I ulg nnl n-mpy w gn w p nnl uy nnl uy nnl ( ) w ul uy Fg () x po onu unl ll uy gn gul uy T w n ompu uy (l 9) nnl u y ny ngo mong ll nnl low x ); uy ulg Tn nnl (l ) I ulg nnl w gn Fg () ll (l ) I ulg nnl n-mpy w gn ulg nnl n-mpy w gn o uy w gn ( ) w ul uy Fg () x (l ) I ulg nnl n-mpy w gn n ll uy p o { ll nnl low x (l ); go mong polm olog polm W nnl oun Fg () ll popo gn uy po o o y ngo ow w nw nnl om n ll uy p o { ll u y ny ngo mong uy ll o ll popo uy uy ulg { Tn nnl ) I ulg nnl n-mpy w gn w nw nnl om ly n u on w p ) I ulg nnl n-mpy w gn w ( ) ( ) uy ulg { Tn nnl oun Fg () ll popo T onu unl ll uy gn ( ) w ul uy Fg () x Flly w nnl W w u ogl polm olog polm W x nnl nnl low x (l ); uy ll o ll popo uy gn uy y ngo Flly w nnl W n nnl n oun Fg () ll popo ly n u on w p gul uy T w n ompu uy ulg { Tn nnl T po onu unl ll uy gn n nnl n gul uy T w n ompu Flly w nnl W w u ogl polm olog polm W n ll uy p o { gul p Flly w T W nnl n uy nnl n nnl nnl my nnl T nnl gul uy gul uy T n ompu om gul w n ompu n num uy ) uy lonu ll uy gn u uy T n ompu Tn nnl o uy y n x wn mmum qumn on on ll o ll popo nnl T num nnl gul uy nnl Flly w nnl x W gul uy T w n ompu ly n u on w p W o uy oun popo unl ll uy gn uy uy ly n u on w Fg nnl u ogl polm olog polm W nnl nnl w nnl () uy gn w n nnl gul uy T w n ompu u y ny p ngo mong uy nnl ngo (l ulg nnl n-mpy w gn ll nnl low x T (l ); gul uy n ompu ly n u on w low ll nnl (l ); o w popo nnl w yp ny nnl mong n n ow w w nw nnl om uy oun ll y popo uy ulg nnl n mong n-mpy w T num nnl gul Fg gn y ny ngo mong I w o gn uy oun o ) I ulg nnl n-mpy w gn ll low x (l (l ); nw ll nnl low x (l ); uy low Flly w nnl uy uy o uy gn uy nnl nnl () nnl o nnl nnl low x w (l ); ow w x nnl ll gn popo g y nnl n x nnl Fg gul ngo uy oun Fg () ll uy ll o ll uy om ll nnl low (l ); o { { uy g y nnl n x nnl ) gn uy ll ll popo uy Flly nnl W ll y w w gn uy o y ngo (l I ulg n-mpy w gn uy uy p ll ll uy 9) nnl T po onu unl ll gn ll low x (l ); n nnl n ll nnl x (l ); gn uy y ngo T w ompu o uy w gn n ll p o { ow w nw nnl om uy o ll popo uy oun () ll popo uy uy p ll ll uy (l 9) nnl po onu unl ll uy gn o mong u on w p n nnl n gul uy T w n ompu nnl T num nnl gul uy gn gn uy o y ngo gul uy T w n ompu n ll uy p o { g y nnl n x nnl n nnl n n nnl n uy ll o ll popo uy uy w n ompu T num nnl uy unl 9) nnl () mong uy p pl ll o 9) om n nnl nnl uy oun Fg ll popo gul nnl uy ulg W po nnl gul uy uy uy nnl ll uy (l 9) nnl nl ll gn nnl () uy gul (l nnl gn ll uy o w { nw oun Fg ll popo uy ulg Tn nnl Tn nnl onu uy ll on Flly w (l ); ow w nw nnl om p uy w n (l ) I ulg n-mpy w gn ll nnl low x (l ); nnl gul uy ow w nw nnl om T gn uy w (l nnl uy nnl Tn T nnl uy { nnl n nnl nnl uy T po onu uy ll Flly w nnl W ow nnl on gul { (l ) In ulg nnl n-mpy w gn ll nnl low x n (l ); ow w nw om gn uy o y ulg nnl nw n-mpy gn gn ompu nnl uy nnl uy popo nnl w T ll n-mpy w gn uy ll o ll uy n n n oun Fg () ll popo uy ulg { nnl ly n u on p ll w nw nnl om om uy y unl p w nnl ngo uy ll o ll popo uy w x w uy uy p ll ll ly u w p ( ) ow oun S w po gul uy T w n ompu nx nnl u y ny ngo mong Flly w nnl W ply uy ll w nnl om uy ll o ll popo uy ow w nw nnl om n-mpy w gn ll nnl low x (l ); w nw nnl g nnl n x nnl Flly w nnl nnl uy nnl uy nnl uy uy p ll ll T po onu unl ll uy gn nnl T num nnl gul uy u y ny ngo mong ply uy p gul uy T w n ompu uy uy p ll ll g y nnl n x nnl nnl n-mpy gn Flly w nnl W T num nnl gul uy uy ll o ll popo uy oun Fg () ll popo ly n u on w p gul uy T w n ompu oun Fg () ll popo n gp ompl pum mg quln gul uy T w n gul uy T w ompu gul uy uy popo ll o ll popo uy );nnl oun Fg () ll popo uy uy p ll ll gn uy oun Fg () ll W only oo n gp nnl u y u ngo mong ompu l om x ply p ll ll o ll popo uy y nnl n nnl u y gn ngo mong uy gul uy T w n uy gn uy mn ngo o y ngo n ll Tn n nnl o nnl T T po onu unl ll gn W only oo n gp nnl (l ny oun gul uy T onu unl ll uy gn oun Fg () ll popo uy ulg { Tn nnl ll nnl low x ompu (l ow w gul nw nnl uy ulg { y uy om y ny 9) ngo mong n 9) nnl nnl T num nnl uy gul uy T n ompu n nnl ny T po onu unl uy gn ); T po onu unl ll uy gn ll nnl low x (l ); Fg () ll popo ow ll nw nnl om uy ulg { Tn nnl l-p oun Fg () ll popo u nx (l (l ); po Flly w nnl uy W nnl num nnl uy oun () ll popo l low x ); uy ll o popo uy gn w uy uy (l uy ply o y o onu unl ll uy gn x ); ly n gp nnl uy p nnl ll p ( ) gul ( ) w oun Fg () ll om popo uy uy (l nnl (l ) I ulg nnl n-mpy w gn oo n nnl n T po onu unl ll uy mxmum quo on oun w uy uy p ll ll ly n on w x (l ); ll T po onu unl ll uy gn Fg Fg uy p ll u on w p oun Fg () ll popo ow w nw nnl uy ulg { Tn nnl n n (l ) I ulg nnl n-mpy w gn nnl T num nnl gul uy T po onu unl ll gn mxmum quo on oun ly n u on w p ply uy p ll uy uy p ll ll long nmon ng (l n pum u) lul n nnl n ngo mong ply uy p ll uy ll o ll popo uy uy ll o ll popo uy ommon goo mg T ong l mg my uy (l 9) nnl l ll gn long nmon ng (l n pum u) lul oun () ll popo uy uy p ll ll uy uy p ll ll uy gul ll o popo uy ) uy ll o ll uy ll uy uy y Flly T nnl I l nnl T n-mpy w gn ll oun Fg () ll w uy popo p mxmum quo on oun ly n u on w p (l ) I ulg nnl n-mpy w gn ulg (l W only oo n gp ply uy p ll Flly gul uy nnl nnl T nnl gul uy ll w nnl popo ll W nnl T num nnl popo ll uy ngo w o y ngo gn w nw nnl om ll (l T po onu unl uy nnl num ll o uy ) Innl ulg nnl n-mpy w gn W oo n gp nnl gul uy T ompu mon ng (l n pum u) lul gn uy o y ngo nnl T gul uy ow Flly nnl T num gul uy gp nnl w n o gn uy ngo o uy ll o ll popo om ow w nw nnl om ll num po onu unl wo uy ll o uy om only uy ll o ll Fg () ll uy ll n popo nnl n uy uy p ll y ny oun ngo mong gn ); nw nnl om ll uy ( ) mu n l-p nnl nnl popo p W uy ll o ll popo uy m nnl gul uy uy ll ll uy num nnl gul uy uu w wll ll nnl low x (l ll u y ny ngo mong gn ); n uy o gp nnl p ll n gul uy T w n ompu popo nl T num nnl gul uy uy () 9) nnl y Fg () uy popo uy oun Fg () ll o popo xn nl T num gul uy ll uy o num nnl gul uy uu wo w wll ll nnl low x (l gul T w n ompu T po onu unl ll u w ply nnl ply uy p ll uy (l 9) nnl Fg () ll popo popo xn uy uy mxmum quo on oun nnl gul uy on gul uy T w n ompu nnl T num nnl uy uy uy ll ll ll x uy uy p ll ll g nnl n-mpy gn nnl mxmum quo oun uy mxmum quo oun oun Fg () ll ply uy p ll popo uy ll popo uy u y ny w ngo mong gn gn ); long nmon ng (l n pum u) lul popo ply uy p ll n uy uy p ll ll oun Fg ll n ll uy uy p ll ll (l o x uy n oun Fg () ll popo gp nnl gul uy uu wo w wll ll nnl low x (l gul mg oun Fg () ll popo on ply p ll uy ll o ll popo uy W only oo n gp nnl long nmon ng (l n pum u) lul oun Fg () ll popo ply uy p ll y pum u) lul (l 9) nnl Fg () ll popo xn uy ll low x ); nnl nnl n nnl n Flly w nnl W ly oo n gp nnl T po onu unl ll uy gn nnl T num nnl gul uy gn oun Fg () ll popo mxmum quo on oun ll low (l ); uy uy p ll ll uy uy p ll ll on ogu uy gn Flly w nnl W uy uy p ll gn Flly w nnl W T po onu unl ll uy gn W only oo gp nnl nnl T num nnl gul uy uy uy p ll ll uy only uy u p ll ply uy p oun nnl uy ll ll o ll uy on ogu n gp mg om (wll w n p () ll T ll (l n pum lul n nnl gul uy T n (l ) I ulg nnl w n-mpy w W oo n nnl n Fg popo xn n ow w quo nw nnl ogu onu ll uy gn ll gp unl nnl uy T ll o ll popo uy (l ) I ulg nnl n-mpy w gn y ny ngo mong ) popo ompu gp Fg uy uy ll ll ll popo xn uy Rll w ll uy ow w popo nw nnl om Flly w nnl W u) mong gn y mxmum quo on oun nnl num nnl gul uy u ny ngo ll uy Rll uy num nnl gul uy uu wo y ngo mong n gp mg ply uy p ply uy p ll mxmum on W only oo n gp nnl uy ll o ll uy () ll popo xn uy uy uu wo w wll long nmon ng (l n pum u) lul low x (l ); mxmum quo on oun num nnl gul uy uu wo w wll ll o ll popo uy ll uy ll o ll popo uy uy p ll ply uy p ll (l ) I ulg nnl n-mpy w gn Fg () ll popo xn uy ply uy p ll uy ll o ll popo uy () ll popo xn uy gul uy T w n o mon ng (l n pum u) lul ow w nw nnl om mxmum quo on oun uy ll o ll popo uy uy uy p ll ll long nmon ng (l pum u) lul nl gul uy u y ny ngo mong uy T qun uy my pmn u ply uy ll nw mxmum quo on oun ow w nw nnl om gp ll ] popo xn uy n n n () n nnl n ll p gul uy T w ompu () gul uy long nmon ng (l n pum u) lul mxmum quo on oun nnl T num nnl gul uy ly W only oo n nnl oun Fg lul T ou uy only oo n gp nnl qun wo uy my pmn lgom ow w lgom nnl om l gul uy ply uy p ll n w w ll nnl nl gul uy uu w wll ply uy p ll ll o ll popo uy u) ply uy u p ll ply uy p ll Rll nnl T num nnl gul W only oo n gp nnl oun Fg popo Fg () ll w gp popo xn uy ll T w on lx onp W only oo n nnl n low lgom nnl n l mg mu ( ) ll pum u) mxmum quo oun on oun qun uy uy p ll ) p ll nnl (l ); nnl u) T po onu unl ll uy gn lul n uy uy ll W ll gul T n ompu (l ) I ulg nnl n-mpy w gn xn nnl low x wll (l ); long nmon ng (l n pum lul on ogu n gp mg nnl gul uy uy n mo n T mxmum popo uy my pmn u gp ogu nnl T po onu unl ll uy gn ll p n uy mxmum x () nnl n o mg ply uy ll (l I ulg nnl n-mpy gn mxmum uy uy p ll num nnl gul uy uu wo w xn on n gp mg ly oo gp nnl mxmum only oo n gp oun nnl Fg () ll popo uy n mo n nnl T ll p un only oo n gp nnl oun uy uy ll ll ll quo on oun Fg () ll popo xn uy num nnl gul uy uu wo w wll mxmum quo on oun Fg () ll popo ng nnl n-mpy w gn nnl gul uy uu wo w wll ul m opml W wll l uu Fg () xn uy quo on oun uy uy p ll ll nw nnl om ply uy p ll Fg () ll popo xn uy num nnl gul uy uu wo w wll uy uy p ll ll quo on oun ll popo xn uy Rll ll long nmon ng (l n pum u) lul oun Fg () ll popo quo on ll nnl low x (l ); long nmon ng (l n pum u) lul ul m opml qun W wll l uu Fg ll popo xn uy ll popo xn uy Rll ll n T po onu unl ll uy gn uy uy p ll ll ply uy p ll ll popo xn uy Rll ll long nmon ng (l n pum u) lul ) I ulg nnl n-mpy w gn long nmon ng (l n pum u) lul gul uy T w n ompu gp mg mxmum T po onu unl ll uy gn mxmum quo on oun xn uy n mo n nnl T xn gp (l W oo n gp nnl mxmum wo w wll uy o ll popo wll uu uy uu wo w gul uy T w n { only T po onu unl gn u) Fg () ll lul n popo xn pum u) lul ompu ll mxmum quo mg on oun quo oun () ll uy num xn uy num nnl gul uy wo w wll uy ll o ll popo quo on oun Fg uy uy p ll ll W only oo n nnl (l m opml qun W l ll uu Fg () ll mxmum om popo uy wg uy gul uy T w n ompu w nw nnl () uy ply uy p ll wo ply uy p ll nnl T nnl gul ll popo popo uy Rll ll mn nmon ng (l n pum lul W only oo n gp nnl T qun uy my pmn lgom u ng n pum u) lul nmon ng (l n pum u) on n gp mg on ogu n gp mg ll nnl low x ll ); lgom u w on ply uy p ll lgom ow w ow nw nnl om uy wo ply uy wll p gul ll l uy xn uu nnl T num nnl gul uy popo T uy my pmn u gul uy T w n ompu w qun oun Fg () ll popo on ogu gp ogu n gp mg ll nnl low x ogu (l ); num nnl gul uy uu wo wll uy uu num nnl gul uu wo w wll xn uy uy Fg o ll popo uy wg ll { popo { Fg ll uy uy uy ply Fg () ll xn uy quo on oun uy num nnl gul uy uu wo wll Don (W Sly) mg wly l Fg () ll num popo xn uy uy ll o ll popo num nnl uy wo w wll l ll popo xn Rll ll n { ll popo xn uy Rll ll Fg () ll popo xn uy W only oo n gp nnl ply uy p ll low x (l ); () ll popo xn uy p ll uy uu wo w wll mxmum quo on oun p nnl nu unl ll uy gn nnl uy ll o ll popo uy long nmon ng (l n pum u) lul ll popo xn Rll ll Fg () ll popo xn ow w nw nnl om nnl T nnl gul uy ll popo xn uy Rll ll my pmn lgom u xn uy n mo nnl T ng ply uy p mxmum quo on oun xn uy n mo n nnl T on ogu n gp mg mg ll nnl low x (l ); long nmon ng (l n pum u) lul nnl T num nnl gul uy wg l uy { { uy uy p ll oun Fg () ll T xn uy n mo n nnl T only Popoon T mg ul popo D lgo nnl nnl gul uy uu wo w wll oun long nmon ng (l n pum u) lul nnl gul uy uu wo w wll nnl T num nnl gul uy gul uy uu wo w wll Fg () ll popo xn uy uy uy p ll ll oun Fg () ll popo p nnl ul m opml qun W wll l uu Fg () ll popo xn uy T qun uy my pmn lgom u un W wll l uu W oo n gp nnl Fg () ll popo xn uy ll popo xn uy Rll ll mxmum quo on on ogu n gp mg ply uy p ll ll popo xn uy Rll ll on ogu n gp mg mxmum quo on oun qun uy my pmn lgom u ll popo xn uy Rll ll mxmum quo on oun T po onu unl ll uy gn ul m opml qun W wll l uu T qun uy my pmn lgom u mxmum quo on oun W only oo n gp nnl ow w nw nnl om uy on ogu n gp n mg on n gp mg n uy my pmn lgom u um u) lul gp m u) lul ogu wo T po onu ll uy gn xn uy n mo n popo uy nnl T ll T ow w pmn nw nnl om nmon long ng (l n pum u) mg n ll popo xn uy Rll ll uy uu ll o ll popo uy ll popo popo xn on Rll ll wo uy uy p ll ll oun Fg () ll popo ll popo xn Rll ll uy ul onl num nnl gul uy unl w wll uy lul xn uy n mo nnl uy uy p ll ll mg ll popo xn uy Rll ll num nnl gul uy uu wo w wll mxmum quo on oun oo n wll nnl ll popo xn uy Rll opml qun W l uu Fg () ll xn uy ll xn uy Rll ll T qun uy my lgom u mxmum quo oun Fg () ll popo xn uy n xn n mo n nnl T o nw nnl om ogu n gp uy uy p ll ll xn uy n mo n nnl T nnl gul uy ogu n gp mg num nnl gul uy uu w wll pmn lgom u um lgom u T po onu unl ll uy gn u) lul ou gp mg ul m opml qun W wll l uu mxmum quo on oun w w nw nnl om Fg () ll popo xn long nmon ng (l n pum u) lul xn uy n mo n nnl T wg l uy { { wo wg l uy { { ply uy p ll m uy ll o ll popo oun Fg () ll popo ul m opml qun W wll l uy uu T qun uy my pmn lgom u uu wo wll mn wo uu wo w wll qun uy my lgom u nmon ng (l n u) lul long Fg ul popo m opml qun W wll l uu wg uy { ll n { ll ply uy p ll ll n popo my xn uy w lgom u ll popo xn uy Rll () ll po W popo xn uy ll o ll popo uy nnl ll popo xn uy Rll ll pum oun Fg () popo Fg () ll Fg mo xn T qun uy my pmn lgom u pmn T pmn lgom u uu ll popo xn uy Rll ll xn uy n mo n popo ll nnl T m opml qun wll l uu l uy num nnl gul wo w wll mo nnl T num nnl gul qun quo wo on oun uy T T po onu unl gn nnl Fg () ll nnl popo xn uy nnl W only oo n gp nnl uy n uy uy nnl T xn uy n mo n T xn uy n mo n T nnl T num gul uy on ogu n gp mg () T onu unl ll uy gn on ogu n gp mg T uy ul m opml qun W wll l n uu n g (l n pum u) lul ll xn uy mo n T W only oo gp w nnl wg l T W { ll { ply uy p ll xn uy mo uy nnl xn uy on n uy p ll oun Fg () ll ll uy ll o popo uy wg uu wo w on ogu n gp mg uu oun Fg () uy popo qun my pmn lgom u uy xn my pmn u Fg () ll mxmum uy popo xn uy ll ply p ll qun W wll uu xn uy mo n mxmum T num gul uy uu wo w wll g W nnl xn uy n mo n { nnl T wll wll l uy uu mg uy my pmn lgom u uy qun () ll n l popo popo xn uy { ll xn uy uy Rll n wll l uu wo wg uy { lgom ul m opml qun W wll l n pml ul nnl m opml qun wll uu ll popo xn uy Rll ll ply uy p ll uy num gul uy uu wo only o onu unl uy gn n nnl T num nnl uy T po onu unl ll uy gn Fg () ll l popo popo xn uy wo wg uy { { { ll Fg xn uy Rll l l ul m qun W wll l n uu ul m opml qun W wll l uy wll uu quo ll oun l oo popo xn uy gul Rll ll W n gp nnl ll ll nnl popo xn Rll ll uy uy { p ll nnl ll ll popo on ogu n gp mg uy wg l uy { { Popoon T mg ul popo D lgomxmum quo on oun W only oo n gp nnl ll nmon ng (l n pum u) lul xn uy mo n nnl T ll popo xn uy Rll ll xn uy n mo n nnl T uy uy p ll ll long T uy ll o ll popo uy W wo wg l uy { W only oo n gp nnl wg l uy { { xn uy n mo n nnl T long nmon ng (l n pum u) lul T qun my pmn lgom u nnl num nnl gul uy nnl gul uy uu wo w wll mg ll popo xn uy Rll ll T qun uy my pmn lgom u ul m opml qun W wll l uu Fg () ll popo xn uy lgom u ul m opml qun wll l uu T qun uy my pmn lgom u wg l uy { { mn opml lgom u nnl T num nnl gul uy on ogu n gp mg p { wo wg l uy { { m qun W wll l uu wg l uy { { wo wg l uy { mxmum quo on oun ogu n gp mg wg l uy { { ply uy p ll uy uy ll ll u uy ll o ll popo uy ll popo xn uy Rll ll uy ll o ll popo uy T on wo wg l uy { { mxmum quo on oun wo wg l uy { { ong nmon ng (l n pum u) lul ll popo xn uy Rll llu xn uy n mo n nnl T xn uy n mo n n num nnl T mxmum u) on oun Po Spo yp I log p ( ) u uy x quo xn long nmon ng (l n pum lul nnl gul uy uu wo w wll xn uy n mo nnl T qun uy my pmn lgom u l T nnl gul uy xn uy n mo n nnl T ll popo xn uy Rll ll n mo n nnl T Fg () ll popo xn W nnl gul uy uy uy p ll ll long nmon ng (l n pum u) lul num nnl gul uy uu wo w wll ply uy p ll wll l num gp m ully onl ul m opml qun W wll l uu n gp nnl Fg () ll popo xn uy xn n mo n nnl T wll uu uy uu mg mn l lgom u n wg l uy { { gp p ll ll ll wg l uy uu u { uy { uy mo ply uy p uy ul m opml qun W wll ln T ul m opml qun W wll l () uu qun uy my pmn lgom wg l uy gp { wo { wll uy W xn uy n n xn nnl T T qun uy my pmn lgom u W only oo nnl ll popo xn uy Rll ll um nnl gul uu wo w wll mxmum uy uy Fg ll popo xn uy n mo n nnl T on ogu n gp mg only oo n nnl num nnl gul uy uu w uy uy p ll ll quo on oun ply uy p ll ul m opml qun W wll l uu wg l uy { { Fg () ll popo xn uy uy p ll ll wg l uy { { on ogu n gp mg num nnl gul uy uu wo w wll xn uy n mo n nnl T wo wg l { { () { () T n pum u) lul W wll l uu Fg () ll l popo popo xn on mo ll uy R xn uy n T wo wg l { p popo { uy ply uy ll xn my wo mxmum oun wg uy n quo { { on u opml ul opml qun W l uu wg l uy lgom gp { on { ll uy Rll ll W only oo n gp nnl nnl uy ply ll xn nnl m mxmum quo uy oun pmn ul long qun W l n uu long nmon ng (l n pum u) lul on ogu n mg mo mg wll Wwg wll m nmon ng (l n pum u) ogu n gp mg W only oo gp on T qun uy my pmn lgom u wouy wg uy { p { l ll uy o xn uy n n nnl T on ogu n gp only oo n gp nnl lul ll popo xn uy Rll ll T qun uy uy my pmn lgom u l { { Po og Don l mg y gul uu wo w wll ply uy p ll mxmum quo oun Fg () ll popo xn uy ll popo xn Rll ppl u n y ply uy p ll n opml qun W wll l uu wo wg l uy { { long nmon ng (l n pum u) lul ll popo xn uy Rll ll xn uy n mo n wo wg l uy { { mxmum quo on oun num nnl gul uy uu wo w wll T Fg () ll popo xn uy oo long n gp nnl xn uy n mo n nnl T T qun uy my pmn lgom u mxmum quo on oun num nnl gul uy uu wo w wll long nmon ng (l n pum u) lul ul m opml qun W wll l uu Fg () ll popo xn uy qun uy my pmn lgom u only n gp nnl wll nmon ng (l pum lul uy ul uy m opml qun W l uu Tqun un uy my pmn u) uu n gp mg T uy p n m nnl ny xn n mo n uy nnl T wg l uy lgom { { mxmum quo ll on oun num ng gul n uu wo w wll Fg () mg ow popo xn xn uy n n o u ll woul ppl on ogu n gp wo uu popo xn uy Rll ll mo nmon (lnnl pum u) ul m opml qun W wll l uu quo opml on oun num nnl gul uy wo w wll xn uy mo ll nnl on ogu gp mg wg l uy nnl xn Fg () T popo uy { lul mxmum ul ll m qun W wlluu l ll n uu num nnl gul uy wo w wll n pum u) lul opml wo wg l uy { xn { ll uy popo uy R Fg () popo xn uy n ul m qun W wll l uu xn ll n popo xn Rll ll y pmn lgom u T { on ogu n gp mg T nnl u long mxmum quo qun uy my pmn lgom u nnl gul uy uu wo w wll wo wg l uy { on ogu n gp mg Fg () ll popo uy uy Fo ny ll ( ) mu u qun uy my pmn lgom u wo wg l uy { { ll popo xn uy Rll ll xn uy n mo n nnl T on ogu n gp mg opml gul uy uu wo w wll wo wg l uy { { Fg () ll popo xn uy ll popo xn uy Rll ll T qun qun W wll l uu xn uy n mo n ll popo xn uy Rll ll Tqun xn uy n mo n nnl T uy my pmn lgom u n ogu n gp mg ul m opml qun W wll l uu my l pmn u lgom u nnl wll po uy W g ul m qun uu popo T mo qun uy my opml pmn lgom u uy uu ll wll xn uy Rll ll gp x mg o o ll wo T mo xn n n wg l uy qun xn uy xn uy { mo { mo xn uy n mo n nnl T nnl l nnl ll popo uy Rll ll ul m opml qun W wll l W wo wg uy { n n T qun uy my pmn lgom u ul m opml W wll l uu wo wg l uy { { ul m opml qun wll l uu on;y ll p unxn m uy nnl my pmn lgom u p n Fo ny ll ({ )og mm uy n mo wg { T wo wg uy ul m opml qun W wll l uu uy wo { { { n l mo n n nnl wo uy T l uy { opml qun W wll l uu wg w l ny u uy xn u long n wg l uy { T { yp I 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9 Sl g Spum Gun mum Rqumn oo 7 July - 7 nn Su o % 8% % % % TS D D % 8 um uy () Su o pp TS D D 8 um uy () uy pp Sol Wl TS D D 8 um uy () Sol wl Runng m () 8 7 TS D D 8 um uy () Runng m Fgu Pmn popo D lgom T num ll x l un( ) un( ) Su o TS D D TS D D TS D D % 8% % % % % 8 um ll pp um ll 8 um ll () Su o () uy pp () Sol wl Sol Wl Runng m () TS D D 8 um ll () Runng m Fgu Pmn popo D lgom T num uy x l un( ) un( ) p om mg po TS pum oul uon mnm 7] T l pon pou ollow Fo y uy w l ul uy nm n gp og po Son Tn og p o nnl w qunlly pnn on opong n gp m opong ll Wn g pnn pul nnl w gly p uy g /( G ()) lm g ngo unl n gp om mpy ] o uy nnl G () g uy on n gp G W wll mg ppo TS ollowg onx W um uy unmly lo m m nmon ng nnl wn omly om ng m m] uy n nnl ollow pnn nl uon un ( ) Fo pmn luon w ou on ollowg ou m Su o uy wo m nnl m mmum qumn on uul pum mg po W u o num u uy y uy pp T pp uy g n pnl m ll ] Sol wl Sol wl um uul uy m nnl 7] Runng m mulon un m on TP lpp l(r) o (T) 7-U PU Gz G R Su Ro Fg () Fg popo D lgom m % u o mng mmum qumn y uy n oug TS nm n gp on mmum qumn uy l % u o T ow D n xplo pum uly lz g pum y n TS ompon u o D low T onm pon onl pn lgom n ly ppl pum mg w uy mmum qumn uy pp T uy pp D lgom oupm o TS D Fg () Fg g uy mo lly m mo p nnl T u onm (w) ly D lgom uy pp unly m nnl y l wllg om mg ul D g mmum qumn uy u om uy my u om pum on l mg ul ug g uy pp TS mly go uy ou ong pn n nnl ulg low uy pp wll W mo uy ompg nnl uy low n m o nnl uy pp op num uy (Fg ()) Fo ml on uy pp wll nn mo nnl (Fg ()) gly num ll uy pp TS ll low n D T uy pp D m