! " #%$&#!!')(+* " !, -/.10213)$4(65778 94:<;= ,, #!! >?-: .A "@ 'B:9DC E
{D|/}4~|+g
b|D|/|-)\|+ |/}% S¡ ¢H£¤/¥¡¦"§©¨ª¥«¢ ¬® ¯DS°©±/¤/&¡²¬³+´/µ°"¶-¡¢ ¬ A·¸"§©&¨¹-µ°»º)¤²&¥«¤""§¥«¤² ¼½«¶¬¦"§ª¾)"²À¿%³OÁÂÁÃÅÄÇÆÈS¡ ¢"³+¯H±ÊÉ="¢ª±"§©«µ¤/Ë-¨ Ì Íŵ¥«ÎOÏÐEµÐE¨"Ð!¾=¥¡¢¢"¦"S¤+Ñ¢ª¶/Ë/S¡ ¢"ÐE¤- Ì Íŵ¥«ÒÎÓ±Ð!Ô+¥ ÏÑ¢ª¶/ËS¡ ¢"ÐE¤/ Õ |×bØÈ~}4)ÙÛÚ»Ü1ÝßÞà©á"âãÜ/áäoå/æâÜáãèçÝ%âéá<ãêÜëÈìêíwî1æOáâéáãêÜâïñðæOãòóòOä-ÜâíwãÝßôë6õ)êïèä-Ü1êíwã âï Ö Ý"öâêô j÷)ß}&ø ùûúü4ýü4úþ ÿOÿ-üpÿ "üÿ þ üü%ü þ ý -ý ÿþÒý !#"$ Oÿý % þ &'<ÿRþ ü4ýMþÒý_ýü4ý ¡þÒý <ÿ ("ü4ú) ÿRþ ü4ý ÿ* "ü+$ ú,$-(./ üOÿ0ÿ þÒý 01 -ý 2ÿþÒý !1 ü 0sýü4ý ¡þÒý % <ÿ 3"$ Oÿ þ ü4ý45<ÿý6 Rþ77 + 3"ü4ú) 8 ÿRþ ü4ý ÿ79®þÒý : ý4 þ7;<%ü 3>=þ þÒý 0 +ý 2 ÿþÒý ?("$ Oÿý Rþ &'<ÿ þ ü4ý ú 7ü$$-A@ B C Oÿ79D E 897ñþÒý ÿ ¸ü: ýü4ý ¡þÒý <ÿ F"$ 1ÿ þ ü4ý4)GB-þH<ÿýI+ 3"ü J -DKL / ü% ü úü4ýü4úþ ÿMOÿ-üÿ üÿ N ú) üÿ(ü94ýü4úþ ÿ/Oÿ-ü>=OOÿý4 þ ü4ýNGþ77eúü4ýü4úþ ÿP ÿQ+"ÿ þF2 -ý þ ü4ý4$-RKL S>=OOÿý4 þ ü4ýT"ü þ ý 7ÿ E6ü9;(%ü 6 þÒý 0MþÒú) ¡þ þ7 þ U E ý þ ÿ% þ ü4ýXü: 7 50-ü; SýþÒý 0V"$ OÿRþ ü4ý4$-WKL-þX E 9þÒý ÿS "ü 6 ü:D¡þÒý <ÿ Y"$ Oÿ þ ü4ý4 ; ý %ü Èýü4ý ¡þÒý <ÿ Z ü+$ ú,['GB-þV E * "ü4ú) 8 ÿRþ ü4ý ÿ IüN7 "$ -þ7;4ÿ ý sü:eü4ý 1]3 G^ªü4ýdþ7_ <ÿ þ ü4ý -`KL I E 9eü:Q úü4ýü4úþ ÿ Oÿ-üÿ ¡þ1ülýü4ý ¡þÒý <ÿ Èÿ ; Rþ ü4ý %aþ Ub þ ü4ýMÿ ("ü4ú)Oÿ E1Gþ77V E 9qü: 7 Z 2! 8 O+"ÿ% þ ü4ýú 7ü$[c7 dÊÿ E\4þÒý ü94ýü4úþ ÿeOÿ-ü½ú ü$ÿý ÿÈýü4ý %þÒý ! 2 C þ7;^ü94ýü4úþ ÿeOÿ-ü ú 7ü$6Gþ77Q E_ Aü ÿYfeü4ý :gHÿ 2ü Eh E ý iü9 8 þ ü4ý -HKL Èÿ <ÿ ü:,7 6úü4ýü4úþ ÿ Oÿ-ü <ÿýj+ k2 2 ÅþÒú) ü;+$6 RþÒúwÿ þÒý 0jÿ þ7 þ ü4ý ÿ<"ü þ ý F C þÒý 01>=l! ÿ üèÿRþ ü4ý -
m
nOoIp3qr(s1tSu,p3nJr(o
v Üeî1à<âÝßá<ãÝ%âéïHâî1î1ïãÝ%â4áãêÜ1ôëAîOö/ä-ôãÝ%âéï¸î1âàâíwÞßá<Þàô ãÜeá<ö1ÞÀíqê-ò1ÞßïâÜ1òeáö1ÞXw êæ1Ü1òâéàäpÝßêÜ1ò1ãyx áãêÜ1ôÊâàÞñêzÒáÞßÜÖôæ{w |ÞßÝßá½áêÀæ1Ü1ÝßÞàáâãÜáä}M~ÇöOÞô<Þ6î1öä-ô<ãÝâï æ1Ü1ÝßÞà©á"âãÜ/á<ãÞßô»âéà<Þñæ1ôæâïïèäjÜ1ÞOïÞßÝßá<Þò ãÜÝêíwî1æOáâéáãêÜâïî1àêlw1ïÞßíqôMÊö1ãÝ"ölàÞôæ1ïá<ôÇãÜjò1Þ áÞßà<íwãÜ1ãôáãÝ»îOà<ÞòOãÝßá<ãêÜOô/zêà¸áö1ÞíwÞ%âéÜâéïæ1Þßô êz=áö1Þwæ1Ü1ÝßÞàáâãÜMîâà<âíqÞ áÞßà<ô$}»ê=ÞOÞßàëîâéàâíwÞßá<Þà<ãÝæ1Ü1ÝßÞàáâãÜá<ãÞô Ý%âéÜ_öâhÞâôãÜOãçÝâÜá ãÜ+ðæ1ÞÜOÝÞ®êÜÖáöOÞ®ô<êïæOá<ãêÜL}/ ô âqà<Þßô<æ1ïèá%ëáöOÞ®à<Þßïãâw1ãïãáäwêzòOÞßáÞßà<íwãÜ1ãôá<ãÝñÝêíqî1æ+á"âéá<ãêÜâéï î1à<Þ2x ò1ãÝßáãêÜ1ô¸íqãöáAw Þå/æ1ÞßôáãêÜâwOïÞ}^~ÇöOãôàÞïã âw1ãïãèáäÈî1àêlw1ïÞßí Ý%âÜlÞ ÞÜ àÞôá<à<ãÝßáá<ö1ÞñâÝßÝæ1à<âÝßäêz Ýêíqî1æ+á"âéá<ãêÜâéï î1à<Þßò1ãÝ áãêÜ1ô$}b~Çö1Þßà<ÞOzêà<ÞëDãá»ãô½ãíwîDêàá"âéÜ/áÇá<êá"â
Þ®îOö/ä-ôãÝ%âéï
æ1Ü1ÝßÞà©á"âãÜ/á<ãÞßô»ãÜ/á<ê âÝßÝêæ1Üá½ãÜ ÝßêíqîOæOá"âéá<ãêÜ1âïî1àêlw1ïÞíwôÇæ1ô<ãÜ{Àæ1Ü1ÝÞßàáâãÜáä å/æâÜáãèçÝ%â4áãêÜíwÞßá<ö1ê-ò1ô$}
>?h>)M l6??aOa> a ê+ò1ÞßïãÜ{»æOÜ1ÝÞßàá"âéãÜáä®ö1âôBw ÞÞßÜÈÝêíwíwêÜ6ãÜ®ÝßêíqîOæOá"âéá<ãêÜ1âïôá<à<æ1Ý áæ1àÞ íqÞßÝ"öâÜ1ãÝôczêà)ôêíwÞ áãíqÞÖÜ1ê ¡?} Ú»Ü1ÝßÞà©á"âãÜ/áä âÜâéïä-ô<ãôjãÜ Ýßêíwî1æOá"â4áãêÜâïÇðæ1ãògòOä-ÜâíwãÝôqãôjàÞïâéáã¢ÞïèäzÜ1ÞO ¤£Oë J¥ ¡?}c Ü ãíwîDêà©á"âÜáÝ"öâàâéÝßáÞßà<ãôáãÝêz+î1à<êlwOïÞíwô ãÜñðæOãòÅòOä-ÜâíwãÝßô ãôAáö1âéá áö1Þ äÅâàÞMêJÞàÜ1Þò wä Ü1êÜ1ïãÜ1ÞâàÓîâàá<ã âïò1ã¦DÞàÞÜáãâï/Þå/æâéá<ãêÜ1ôO}B~Çö1Þ=ò1ãôÝàÞßáã§%âéá<ãêÜÅêzOáö1Þßô<ÞÞßå/æâéáãêÜ1ô)à<Þôæ1ïá<ôczêà à<Þâïãôá<ãÝ)ð1êJÊôÓãÜñï âà>ÞÝêíqî1æ+á"âéá<ãêÜâéïéî1àêlw1ïÞíwôAãÜ êï-ãÜ{ÇíwãïïãêÜ1ôêz+æ1Ü{
/Ü1êÊÜ1ô$}B~Çö1ãô íqâ
Þßô ò1Þ áÞàíqãÜ1ãô©áãݸÝßêíwî1æOá"â4áãêÜâïðæ1ãò®òOä-ÜâéíqãÝô)âïàÞ%âòOäÅÝßêíwî1æOá"â4áãêÜâïïèäãÜ/á<ÞÜ1ôãÞ}B~ÇöOÞà<Þ zêà<Þéë ãá ãô6ãíqî êàáâÜáFzêàÅæ1Ü1ÝßÞàáâãÜáäeå/æâÜáãèçÝ%â4áãêÜ_ãÜeÝêíqî1æ+á"âéá<ãêÜâéï
ðæ1ãò_òOä-ÜâíwãÝßô á<êâîOî1ïä æ1Ü1ÝßÞà©á"âãÜ/áäqå/æâÜáãèçÝ%â4áãêÜíwÞßáöOê+ò1ôkÊö1ãÝ"öjÝ%âÜò1Þ%âï Êãá<öÜ1êÜOïãÜOÞ%âàãáãÞôãÜjâÜjÞ ¨wÝãÞßÜáAâä} © Ü1ïäiwä6ò1ÞOÞïêî1ãÜ4ÞO¨wÝãÞÜáíwÞßá<ö1ê-ò1ôëéæ1Ü1ÝÞßàáâãÜáä6å-æ1âÜáãç1Ý%âéá<ãêÜ6Ý%âÜ w ÞÝßêíwÞÞÝßêÜ1êíwãÝâïïèä zÞ%âéô<ãwOïÞñãÜlîOàâÝ áãÝâïAðêuîOà<êlw1ïÞíwô$} Ú½Ü1ÝÞßàáâãÜáäwå/æâÜáãèçÝ%âéá<ãêÜwíwÞßáöOê+ò1ôHáö1âéá âéà<Þ½ÝêíwíqêÜ1ïäÀâéî1î1ïãÞòwâàÞZzêàHÞ ªOâíwî1ïÞÖêÜ/á<Þ ì âàïêpô<ãíÈæ1ïâéáãêÜAë)á<ö1Þ îDÞßàá<æ1àwâ4áãêÜ íqÞ áö1ê-ò« ¥ ¡ ëáöOÞI¬ÅâïÞà
/ãÜhîDêïä-Ü1êíwã âïHÝ"öâéêôÀíqÞ áö1ê-ò ¡ÇâÜOòháö1ÞjÜOêÜ8xãÜáà<æOô<ãÞjî êïä-Ü1êíwã âéïÝ"öâêôíwÞßá<ö1ê+ò ® ¡}j½êJ=ÞOÞàßë¸á<ö1Þãàâî1î1ïãÝâéáãêÜeá<ê æ1Ü1ÝßÞà©á"âãÜ/áähå-æ1âÜáãç1Ý%âéá<ãêÜ ãÜ Ýêíwî1æOáâéáãêÜâïHðæ1ãò òOä-ÜâíwãÝôÝâܯwDÞlÝßêíwî1æOá"â4áãêÜâïïèäsãÜ8x áÞßÜ1ô<ã¢Þ}/°êà¸Þ ªOâíwî1ïÞë4ÖêÜáÞÅì âéà<ïê®ô<ãí®æ1ï âéá<ãêÜÀãôAwâôÞòlêÜô<êï¢+ãÜ{6á<ö1Þ òOÞßáÞßà<íwãÜ1ãôá<ãݽî1à<êlw x ïÞßí íÈæ1ïèáãîOïÞ®á<ãíwÞôFzêà âÖôÞßáÈêz²± àÞ%âïã§âéáãêÜ1ôêzáö1Þwæ1Ü1ÝßÞàáâãÜMîâà<âíqÞ áÞßà<ô$}1³æOÞÀá<êÖá<ö1Þ ô<ïê ÝßêÜ ÞßàÞßÜ1ÝÞwàâéá<ÞÈêzHáöOÞôá"âéÜ1òâàò´ÖêÜáÞwì âàïê âîOî1à<êâéÝ"öpêz²µ1¶¸· ±V¹Sëáö1Þ®Ü-æOí wDÞßàñêz ôâéíqî1ïÞôºzêà»àÞ%âÝ"öOãÜ{lâwà<Þßå-æOãà<ÞßòsâÝÝßæ1àâéÝßäÖÝ%âÜSw Þ®ïâàÞ}º~Çö1ÞàÞOzêàÞëãèáô âî1î1ïãÝ%â4áãêÜÝâÜSw Þ ö1ãö1ïä Þ2ª+îDÞßÜ1ô<ã¢Þ zêà½Ýêíwî1æOáâéáãêÜâïAð1æ1ãòò+ä+Ü1âíqãÝô»î1à<êlwOïÞíwôbÊö1ÞàÞâò1Þ áÞàíqãÜ1ãô©áãÝ ôêïÞ ãôÊâéïà<ÞâòOäÝêíwî1æOáâéáãêÜâïïäwãÜáÞßÜ1ô<ã¢Þ} »Ü âïèáÞßà<Üâéá<ãÞÖãôÀá<ê_æ1ôÞÖá<ö1ÞÖî Þà©áæ1à>wâéá<ãêÜzíqÞ áö1ê-òAëAÊöOãÝ"ö ãôqÝßêÜ1ôãò1Þßà<ÞòXáêWw ÞÖâ´z âô©á íwÞßáöOê+òzêàò1Þ áÞàíqãÜ1ãÜ4®ïê\êàò1Þà=ôáâéáãôáãÝ%âï íwêíqÞßÜáôF+ë ¥ ¡?}^vÜjáö1Þ»îDÞßàáæOàwâéá<ãêÜíqÞ áö1ê-ò áöOÞ íwÞ%âéÜ âÜOòHéâàã âÜ1ÝßÞñêz
á<ö1ÞÅêæOá<î1æOá»âà<ÞÅÞ2ªOî1âÜ1ò1Þßòpâà<êæ1Ü1òláö1Þ Þ ª+î ÞÝ áÞòQâéïæ1ÞñêzáöOÞ6æ1Ü x ÝÞßàáâãÜÀîâà<âíwÞßáÞßàæ1ô<ãÜ{3~
â%ä-ïêàôÞàãÞôHÞ2ªOî1âÜ1ô<ãêÜ1ôO}^~Çö1ÞôÞ»Þ2ªOî1âÜ1ô<ãêÜ1ô=âà<ÞÊæ1ôæâïïä®á<à<æ1ÜOÝ%âéá<Þò âéá)ô<ÞßÝêÜ1òêà<ò1ÞßàëôãÜ1ÝßÞ/zêàö1ãö1Þà)êà<ò1Þßà<ôáö1Þ=Þå/æâéá<ãêÜ1ôwâéá<ãêÜ1ôßë)ã?}IÞ}ë ãÜOî1æOáô^Êãèáöwâ ôíâéïï1ô©á"âÜ1ò1âà<òwò1ÞO-ãâéáãêÜAë/âÜ1òwãáHÝâÜ1Ü1êéá=àÞ%âòOãïä,wDÞÊÞ2ª+á<ÞÜ1òOÞòá<ê Ýßêíwî1æOáÞÇá<ö1Þ î1àêlwâw1ãïãèáäò1ãôá<à<ãwOæOáãêÜzæ1Ü1Ý áãêÜ êz)á<ö1ÞÅà<Þßô<î êÜ1ô<Þ î1àê+ÝßÞô<ô,+ë ¥ ¡?} íwÞßá<ö1ê+ò á<öâéáÀãôÜOêáwïãíwãá<Þòeáêeïê êà<ò1Þßàwô©á"âéá<ãô©áãÝßôÀâÜ1ò ô<íqâïï îDÞßàá<æ1àwâ4áãêÜ1ôãôÈá<ö1Þ î êïä-Ü1êíwã âéïÝ"öâêô»Þ2ªOî1âÜ1ô<ãêÜî1à<êî êôÞòIwäQ¬ñöâÜ1Þßí âÜ1òI½+îâÜOêô ¡?}/~ÇöOãôÊíqÞ áö1ê-òãôbwâôÞò êÜpáöOÞwöOêíqêÞÜ1Þßêæ1ôñÝ"öâéêôñáö1Þßêàäpêz/¾\ãÞÜ1Þßà( J¡} ~ÇöOÞqî êïä-Ü1êíqãâïÓÝ"öâêôÅÞ ª+îâéÜ1ô<ãêÜMãôÅâ î êïä-Ü1êíwã âéïÞ ª+îâÜ1ôãêÜlêzÓêàá<ö1êlêÜ1âïDî êïèä+ÜOêíqãâïôHãÜqáÞßà<íwô êzÓà<âÜ1ò1êí¿éâà<ãâw1ïÞôHáêâîOî1à<êhªCx ãíqâéá<ÞÈáö1Þqæ1Ü1ÝÞßàáâãÜáäeò1ãô©áàãw1æOá<ãêÜsêzáö1ÞwêæOá<î1æOáh}6~ÇöOÞÞ ª+îâéÜ1ô<ãêÜhÝê-ÞO¨wÝßãÞÜá<ôÈâàÞqôêïÞò zêàÇãÜ á<ö1ÞÅÝêÜá<Þ ª-á êzâôá<ê+Ý"ö1âôá<ãÝñçÜ1ãèáÞñÞïÞíwÞÜá»âî1î1àêâÝ"öHwälæ1ô<ãÜ{wâ¬ÅâïÞà
/ãÜlî1à<ê|ÞßÝßá<ãêÜL} ¾_âïá<Þà<ô½âÜOòS»æ+ä+ôÞ6¤£Oë ® ¡öâhÞÈâî1îOïãÞßò îDêïèä-Ü1êíwã âïDÝ"öâêôÊáêqî1à<êlwOïÞíwôÊãÜlðæ1ãò òOä-ÜâéíqãÝô$} ~Çö1Þ êà<ããÜ1âïö1êíqêlÞÜ1Þßêæ1ô½îDêïèä-Ü1êíwã âïDÝ"öâêô,ÀJ¡ÓÞíwî1ïêä-ô)½ÞàíqãèáÞñî êïä-Ü1êíwã âéïô/ÊöOãÝ"ö ÝâÜ âÝ"ö1ãÞOÞ½Þ2ª+îDêÜOÞÜáãâïÝêÜ ÞàÞÜ1ÝßÞZzêàM¬Åâæ1ôô<ã âéÜwòOãôá<à<ãw1æOáÞßòæ1Ü1ÝßÞàáâãÜwãÜOî1æOáôO}Á~Çö1ÞÊÞ ª+î êÜ1ÞßÜ8x áãâïHÝêÜ ÞàÞÜ1ÝßÞlêz áöOÞjîDêïä-Ü1êíwã âï
Ý"öâêôÈÞ2ª+îâÜ1ôãêÜhö1âô,w ÞÞßÜ Þ ª-áÞßÜ1ò1Þòhá<êô<Þ Þßàâï=êáö1Þßà ôáâÜ1òâéà<ò òOãôá<à<ãw1æOáãêÜ1ôQ »¡»âÜ1ò âàw1ãèáà<âàä ãÜ1î1æOáqî1àêlwâw1ãïãèáähò1ãôáàãw1æ+áãêÜ1ôH ë  ¡?}~Çö1Þ ï â4á<áÞßàñÞ ª-áÞßÜ1ô<ãêÜ_ãôFwâôÞò_êÜeá<ö1ÞqÜ/æ1íwÞàãÝâïÝêíqî1æ+á"âéá<ãêÜsêzâÜeêîOáãíâéï
ô<Þ á®êzêà©áö1êêÜâï
>?h>)M l6??aOa> a wâôãôÅî êïä-Ü1êíwã âéïô æOô<ãÜ4ÖâéÜMêà©áö1êêÜâïã§âéáãêÜpâïêà<ãèáö1íH},~ÇöOÞqî êïä-Ü1êíqãâï)Ý"ö1âêô íqÞ áö1ê-ò ãôâÜjãÜ/á<à<æ1ôãÞ íwÞßáöOê+òlâéÜ1òjÝ%âéÜ6wDÞ»Ýêíwî1æOáâéáãêÜâïïäÈãÜáÞÜOô<ãÞ áê®ô<êï¢Þò1æOÞ áê áö1Þi¬ÅâïÞà
/ãÜ î1àê|ÞÝ áãêÜ1ÊöOãÝ"öà<Þôæ1ïá<ôÊãÜâwÝßêæ1î1ïÞò ô<Þ á êz
Ü1êÜ1ïãÜ1Þ%âàÞå/æâéá<ãêÜ1ôO} íwÞßáöOê+ò áöâ4áqàÞò1æOÝÞôqáö1ÞãÜáàæ1ô<ã¢-ãáä êz áö1ÞîDêïä-Ü1êíwã âï=Ý"öâêôwíwÞßáöOê+òzãôÀáö1ÞÜ1êÜ x ãÜá<à<æ1ôãÞî êïèä+ÜOêíqãâïÓÝ"öâêôÅíwÞßá<ö1ê+òpêzM¾_âïèáÞàôX Â ë ® ¡}5váÅãôwâéô<ÞòeêÜeâî1îOà<êhª+ãíqâéáãÜ{qá<ö1Þ î êïä-Ü1êíwã âéïÝ"öâêô Þ ª+îâéÜ1ô<ãêÜhÝê-ÞO¨wÝßãÞÜá<ô,wäeÞOéâïæ1âéáãÜ{láö1Þqò1Þßá<Þà<íwãÜOãôá<ãÝî1àêlw1ïÞí`zêà à<Þ2x âïã§%â4áãêÜ1ô êz)áö1Þ æ1Ü1ÝßÞàáâãÜîâà<âíwÞßáÞßà<ôO}A~Çö1ãô»Ü1êÜ8xãÜ/á<à<æ1ôãÞ î êïèä+ÜOêíqãâïÝ"ö1âêô½íqÞ áö1ê-òÖÝâÜ w Þ ôö1êÊÜÖá<êwÝßêÜ ÞßàÞÅáêáöOÞ,¬ÅâïÞà
/ãÜlîDêïèä-Ü1êíwã âï Ý"öâêôÊÞ2ªOî1âÜ1ô<ãêÜÝê-ÞO¨wÝãÞÜáô½æ1Ü1ò1ÞßàÊÝÞà:x á"âéãÜ ÝêÜOò1ãá<ãêÜ1ô3  ¡?}'½-êï-ãÜ4ô<ÞOÞà<âï)ÜOêÜ1ïãÜ1Þ%âéà ò1Þßá<ÞàíqãÜ1ãô©áãÝñîOà<êlw1ïÞíwôÇãÜláöOÞ ÜOêÜ8xãÜáà<æOô<ãÞ î êïä-Ü1êíwã âéï+Ý"öâéêô=íwÞßá<ö1ê-òwÝâÜô©áãïï4w ÞÊÞ ª+î ÞÜ1ôãÞºzêàHæ1Ü1ÝßÞàáâãÜáäÀå/æâÜá<ãçÝâéáãêÜÀãÜÀî1àâéÝßáãÝ%âï Ü1êÜOïãÜOÞ%âà îOà<êlw1ïÞíwôÊâôÊÞÜ1Ýßêæ1ÜáÞßà<Þßò ãÜ ÝßêíqîOæOá"âéá<ãêÜ1âïDðæOãò òOä-ÜâíwãÝßô$} vÜ6áö1ãô)îâéîDÞßàëâ»íqêÜOêíqãâïÝ"öâéêôâîOî1à<êâéÝ"öÈãôî1à<êîDêôÞò®á<ê àÞò1æ1ÝßÞáöOÞÝêôáô)êzæ1ÜOÝÞà©á"âãÜáä å/æâÜáãèçÝ%â4áãêÜhãÜMÝêíwî1æOáâéáãêÜâïïäãÜáÞÜOô<ãÞjÜ1êÜOïãÜOÞ%âà î1à<êw1ïÞßíqôO}I~Çö1Þlâéî1î1ïãÝ%âéá<ãêÜeêzÇá<ö1Þ íwêÜ1êíwã âï Ý"öâêô½àÞôæ1ïá<ô½ãÜâÀòOÞÝêæ1î1ïÞßòÖôÞßá»êz)ïãÜOÞ%âà Þßå/æâéáãêÜ1ôßë1ÞOÞÜIzêàÊâÜ1êÜ1ïãÜ1Þ%âàî1à<êlw x ïÞßíQ}~Çö1Þjî1àêîDêô<Þò_âî1î1àêâÝ"öhÞßíqîOïêä-ô á<ö1Þî êïä-Ü1êíqãâïÝ"öâêô®Þ ª+îâéÜ1ô<ãêÜWÊãá<ö_íwêÜ1êíwã âéïô âô²wâéô<ãô'zæOÜ1Ýßá<ãêÜ1ôO}k~Çö1ÞÅíqêÜOêíqãâïÝ"öâêôÊÞ2ªOî1âÜ1ô<ãêÜ Ýê-ÞO¨wÝãÞÜáô½âàÞÅô<êï¢Þò6zêàÇôÞå/æ1ÞßÜ/á<ã âïïä æ1ôãÜ{ ãíwî1ïãÝãèáòOã¦DÞà<ÞßÜáã â4áãêÜ êz áö1ÞsÞå/æâ4áãêÜ1ôëãÜ1ôá<Þ%âò\êz®âì âïÞà>
-ãÜ î1àê|ÞÝ áãêÜL}¿~Çö1Þ íwêÜ1êíwã âïÄw1âô<ãô)zæ1Ü1Ý áãêÜ1ôà<Þßô<æ1ïèáñãÜâjò1ÞÝßêæ1î1ïÞòsô<Þ áñêz¸Þå/æâéá<ãêÜOôñâÜ1òá<ö1Þî1à<ê-ò1æ1Ý áñà<æOïÞ®ãÜ ò1㢦Þßà<ÞÜá<ã âéá<ãêÜeà<Þßô<æ1ïèáô ãÜ_ïãÜ1ÞâàÅÞå/æâéá<ãêÜOô$}1~Çö1ãô6Ýêí,w1ãÜâ4áãêÜeàÞò1æOÝÞô6áö1ÞqÝêíwî1æOáâéáãêÜâï =êà
ÖîDÞßàÅâò1ò1ãèáãêÜâïÓîDêïä-Ü1êíwã âïÓÝ"öâéêôñêà<òOÞà á<êjáö1ÞÞßå-æOãéâïÞßÜ1ÝÞêz=êÜ1ÞDÅ»Þ ÇáêÜsãèáÞà<âéáãêÜL} ~Çö1Þßà<ÞOzêà<ÞëDáö1Þ6íqêÜOêíqãâï Ý"öâêô ãô âÝêíqî1æ+á"âéá<ãêÜâéïïäÞO¨wÝãÞÜáÅâïèáÞßà<Üâéá<ãÞ3zêà½Þ ª+ãôáãÜ{jæ1Ü x ÝÞßàáâãÜáäpå/æâÜá<ãçÝâéáãêÜsíqÞ áö1ê-ò1ôÅãÜpÜ1êÜ1ïãÜ1Þ%âàñîOà<êlw1ïÞíwô$}D~Çö1ÞwâÝßÝæ1à<âÝßäsêz=á<ö1ÞÀíqêÜOêíqãâï Ý"öâêô½ÝâÜHwDÞFzæ1à©áö1Þßà½ãíqîOà<êÞßòHwä Þßôáãíâ4áãÜ4âò1ò1ãèáãêÜâïDÝê-ÞO¨wÝãÞÜáô½æ1ô<ãÜ{ÀÞ ª-áà<âî êï âéá<ãêÜ } ~ÇöOÞwî1âîDÞßàãô êàâéÜ1ã§ßÞòsâôzêïïêÊô$ƺ~Çö1ÞíwêÜ1êíwã âéïÝ"ö1âêôñãô ãÜáàê+ò1æOÝÞòeâÜOòsâî1î1ïãÞòá<ê êÜ1Þ2xò1ãíqÞßÜ1ô<ãêÜâï/Ü1êÜ1ïãÜ1Þ%âà
âò4ÞÝßá<ãêÜ xò1㢦æ1ôãêÜ6ãÜÈôÞÝ áãêÜ(8}B~Çö1ÞÇàÞôæ1ïá<ôâà<ÞÝêíwîâàÞò Êãá<ö à<Þßô<æ1ïèáô6êz áöOÞî Þàá<æ1àw1âéáãêÜ_íwÞßá<ö1ê+òë)áöOÞ6¬ÅâïÞßà
/ãÜeîDêïä-Ü1êíwã âï
Ý"öâêôÈíwÞßá<ö1ê-òhâÜ1ò_â Ü1êÜ x ãÜá<à<æ1ôãÞî êïèä+ÜOêíqãâïÝ"öâêôÅíwÞßáöOê+òL}5vÜsô<ÞÝ áãêÜ Â âéÜeÞ2ª-áÞÜOô<ãêÜMêzHá<ö1ÞÀíqêÜOêíqãâïÓÝ"öâêôÅãô î1àêîDêô<Þòá<êzæ1à©áö1ÞßàãÜ1Ýßà<Þâô<ÞÈãèáô»ÞO¨wÝãÞÜ1Ý äSwäâéî1î1à<êhª+ãíqâéá<ãÜ{âò1ò1ãèáãêÜâï Ýê-ÞO¨wÝßãÞÜá<ôñæ1ô<ãÜ{ Þ ª-á<àâî êï â4áãêÜL}BvÜô<ÞßÝßáãêÜH»Àá<ö1ÞÅÝêÜOÝïæOô<ãêÜ1ô½âà<Þñôæ1íqíqâàã§ÞßòL} Ç
p QÈRÉ
r(ojr É
n 6Ê
u r zË3Ë q6r u
vÜ á<ö1ãôqô<ÞßÝßáãêÜ áöOÞíqêÜ1êíwã âï Ý"ö1âêô âî1îOà<êâÝ"ögãôãÜ/á<à<ê-ò1æ1ÝßÞò#zêàqÞO¨wÝãÞÜálæ1ÜOÝÞà©á"âãÜáä å/æâÜáãèçÝ%â4áãêÜdãÜgÜ1êÜ1ïãÜ1Þâàjî1àêlw1ïÞíwô$}ÌvÜdô<ÞßÝßáãêÜÍ8} á<ö1ÞpíqêÜ1êíwã âï½Ý"öâêôâîOî1à<êâéÝ"öxãô î1àêîDêô<ÞòeãÜsâ6ÞßÜ1Þà<âïÜ1êéá"âéá<ãêÜL}5váô âî1îOïãÝâéáãêÜ á<êlêÜ1Þ xò1ãíwÞÜOô<ãêÜâï
ÜOêÜ1ïãÜ1Þ%âéàñâò4ÞÝßá<ãêÜ x ò1㢦æ1ôãêÜzãôÀò1ãô<Ýßæ1ô<ôÞògãÜzô<ÞßÝßá<ãêÜÎ8}Ï }vÜ ô<ÞßÝßá<ãêÜÎ8}  Ü/æ1íwÞà<ãÝ%âïÊàÞô<æOïáôwêzá<ö1ÞíqêÜOêíqãâï Ý"öâêôzêàqá<ö1Þsâò4ÞÝßá<ãêÜ xò1㢦æ1ôãêÜ î1à<êlwOïÞí âàÞî1à<Þßô<ÞßÜ/á<ÞòL}ÐvÜgô<ÞßÝßáãêÜ«8}»háö1Þ à<Þôæ1ïá<ôlêz áöOÞíqêÜ1êíwã âï1Ý"ö1âêôÇâàÞ Ýßêíqî1âà<ÞßòáêÈàÞôæ1ïá<ôêzÓêá<ö1Þà=æ1Ü1ÝßÞàáâãÜáäqå/æâÜáãèçÝ%âéá<ãêÜqíqÞ áö1ê-ò1ôßë ã}Þ}èëáö1Þ½î Þàá<æ1àw1âéáãêÜqíwÞßá<ö1ê-òAëáö1ÞZ¬ÅâïÞßà
/ãÜÀî êïä-Ü1êíwã âéïOÝ"öâêôíwÞßáöOê+òqâÜ1òqâ ÜOêÜ8xãÜáà<æOô<ãÞ î êïä-Ü1êíwã âéïDÝ"öâéêôÊíqÞ áö1ê-òL}
Â
>?h>)M l6??aOa> a Ç m
p,Ñ |VÒ_~ Ó~ Òh 1=ø Ñ O~DXÓ}& Ò_|Ø®~ }JÔ
~ÇöOÞwîOà<êî êô<ÞßòMíwêÜ1êíqãâï)Ý"ö1âêô âî1î1àêâÝ"ösÞíwî1ïê&ä-ôÅâlî êïä-Ü1êíwã âéï)Ý"öâéêôÅÞ ª+îâÜ1ôãêÜjÊãá<ö íwêÜ1êíwã âïôÓâôBw1âô<ãôæ1íwÞÜáZÜãôÇæ1ôÞòÖá<êÀÞíwî1öâôã§Þñá<ö1ÞFz âÝßáÊáö1âéá»âÜ æ1Ü1ÝßÞà©á"âãÜQéâà<ãâw1ïÞñãô½â(zæ1ÜOÝßáãêÜêz
á<ö1Þ6à<âÜ1ò1êí ÞOÞßÜáiÜYãà ® Ú ¡?}A~Çö1Þ6æ1Ü1ÝßÞàáâãÜÖîâà<âíqÞ áÞßà ß'¶!Ül¹ âÜOòá<ö1ÞÅô<êïæOáãêÜ6Ø<¶Ù^ÚÛ2ÚEÜl¹ âàÞñÞ ª+îâÜ1òOÞòãÜ/á<êwâÀî êïèä+ÜOêíqãâï Ý"öâêôÊÞ ª+îâéÜ1ô<ãêÜ ß'¶?ܹká
åæ ä
æ è²æ ß
¶é*¶!Ül¹>¹ Ú
Ø<¶7Ù^ÚÛ2Úܹ^á
ç 7
ë è)ë Ø ¶ ÙÁÚÛ>¹ ¶7é*¶!Ül¹¹2Ú
åë ê
¶¹
ç 7
Êö1Þßà<Þpáö1Þ àâÜ1òOêí éâàã âw1ïÞHé ¶?ܹqãôlâhïãÜ1Þâàqá<àâÜOô>zêàíâéá<ãêÜXêzÅáö1ÞpæOÜ1ÝÞßàá"âéãÜgãÜOî1æOálîâJx àâéè²íqæ Þ áÞàiæ ßA¶?ܹ»áêÖâ ô©á"âÜOòâà<òeò1êíqâãÜL} vÜsáö1ÞÀíwêÜ1êíwã âïÝ"öâêôÅá<ö1ÞÀÞ ª+îâÜOô<ãêÜ_î êïä-Ü1êíwã âéïô ì ¶éC¹í 7 âàÞñÜ1êá½êàá<ö1êlêÜâè² ïAæî êïä-Ü1æ êíqãâïô=âôÊãÜláöOÞ,¬ÅâïÞà
/ãÜlîDêïèä-Ü1êíwã âï Ý"öâêô½íwÞßáöOê+òL} ç ê ~Çö1Þ Þ ª+îâÜOô<ãêÜÖî êïä-Ü1êíqãâïô ì ¶7éC¹í 7 âà<ÞñíwêÜ1êíqãâïô=âà<êæ1Ü1ò1é5á éDÊãá<ö é5á«îºïé ¶?Ül¹_¡Æ æ êç è²æ ¶é ¶?Ül¹>¹^áð¶7é*¶?ܹBñ éC¹ Ú òDá ® Ú Úhóhó$óOó ¶Â ¹ ÖêÜOêíqãâïôâà<ÞÅÝ"ö1êô<ÞÜ âôbwâôãôÇî ê ë ïä-Ü1êíwã âéïôë w ÞÝ%âéæ1ô<ÞÅáö1Þ älôâ4áãôazÒäjáöOÞizêïïêÊãÜ{Èî1àêîDÞßàáä è²æ ò ëYôô Ú á#òlÚ á¿öÐ÷>ø ÷ ¶!» ¹ ô á#òlÚ ® Ú ò4é ôõ õ ÷ºù ç è²æ Êö1ãÝ"ö_ôâ%ä-ô6á<öâéá ò1㢦Þßà<ÞÜá<ã âéá<ãÜ{láöOÞwíwêÜ1êíqãâïô ¶é ¹ á<ãíwÞôFÊãá<öMàÞôîDÞßÝßá®á<êHéâ4á5éQá é ÷ à<Þßô<æ1ïèáô=ãÜqâ6Ü1êÜ4§Þàê®áÞßà<íúzêà áÃòêÜ1ïèäl}B~ÇöOãôîOà<êî Þà©áäqêz íqêÜ1êíwã âïôà<Þßô<æ1ïèáôãÜwá<ö1Þ òOÞÝêæ8x ÷ î1ïÞòpô<Þ á êz¸Þå/ë æâéá<ãêÜ1ôO}5~ê êlwOáâãÜá<ö1Þô<Þ áÅêz¸Þå/æâéá<ãêÜ1ôzêà áö1ÞíwêÜ1êíqãâïÓÝ"öâêôñÞ2ªOî1âÜ1ô<ãêÜ Ýê-ÞO¨wÝßãÞÜá<ô/Ø ¶7Ù^ÚÛ>¹Së/á<ö1ÞÊíqêÜ1êíwã âï-Ý"öâêô¸Þ ª+îâéÜ1ô<ãêÜ1ô)¶l¹âàÞ½ôæ{w1ô©áãá<æOáÞßòãÜ/á<êñáö1ÞbêÞßà<Ü1ãÜ{ »
>?h>)M l6??aOa> a Þå/æâ4áãêÜW¶ ¹ åæ ä ÝüûeÙÁÚÛ2Úý
æ$è²æ ß
ë
¶é ¶?Ül¹>¹ àiå ë ê
ç 7
è)ë
Ø ¶Ù^Ú>Û>¹
åæ ä ¶7é*¶?ܹ¹:þðáÍÞ«ûeÙÁÚÛ2Úý
ç 7
æ$è²æ ß
¶é ¶?Ül¹>¹aþó
¶¥ ¹
ç 7
~ ê êwOá"âãÜÀâô<Þ á=êzDïãÜ1ÞâàÞßå-æ1âéáãêÜ1ôá"â
Þ áöOÞ)ÿ P ò1Þßà<ã¢â4áãÞÇêzB¶ ¥ ¹<ÊãèáöàÞô<î ÞÝ áHáêFézêàBé,á é æ1ôãÜ{ãíqî1ïãÝßãáò1㢦Þßà<ÞßÜ/á<ã âéá<ãêÜ }B~Çö1ãô à<Þßô<æ1ïèáôÇãÜqáö1Þ)zêïïêÊãÜ{6Þßå/æâéáãêÜzêà¸áö1Þiÿ P Þ2ªOî1âÜ1ô<ãêÜ Ýê-ÞO¨wÝßãÞÜáº Ø l¶7Ù^ÚÛ>¹ êzáö1ÞÅôêïæOá<ãêÜ
é
åæ ä ÝÐû*Ù^ÚÛ2Ú¯
ß
æOèbæ
ë
¶7é*¶?ܹ¹2àiå ë ê
Ø ¶ÙÁÚÛ>¹
ô
è)ë ¶7é*¶!Ül¹¹:þ
ô
ô
ô
é
Þ
åæ ä ûeÙ^Ú>Û2Úý
ô
ß
æ è²æ ¶7é*¶!Ül¹¹:þ
ô
ô
ô Ú
ôÀõ õ ¶ç l¹ zêà ÿ×á ® Ú Úhóhó$ó¢}Q~Çö1ãô®ô<ÞßáÈêzÇÞå/æâ4áãêÜ1ôÈÝ%âéÜNwDÞò1ãôÝà<Þ áã§Þò_æ1ô<ëãÜ{ôáâë Ü1òâéà<ò ò1ãô<ÝàÞßá<ã§%â4áãêÜ áÞßÝ"ö1Ü1ãå-æOÞô$}k³æOÞáêîOà<êî Þà©áä6¶»C¹)âïï+öOãö1Þßà
êàò1Þà
Ýê-ÞO¨wÝãÞÜáô ì Ø ¶Ù^ÚÛ>¹í òOà<êîë êæ+áêzë á<ö1Þ ç Þå/æâ4áãêÜAëÊöOãÝ"ö à<Þôæ1ïá<ô)ãÜ âÊòOÞÝêæ1î1ïÞßò®ôÞßá)êzOÞßå/æâéáãêÜ1ôÄzêàØl¶7Ù^ÚÛ>¹AãÜñá<Þê à<íwôÓä êz ì Ø ¶Ù^Ú>Û>¹2í 7 } ç ~Çö1ãô6ôÞßá6êzÞßå/æâéáãêÜ1ô Ý%âÜwDÞÀôêïÞò_ôÞå/æ1ÞßÜ/á<ã âïïäSzêà ãÜ1ÝàÞ%âôãÜ{Iÿe}Y~Çö1ãôÅãôÅò1ÞßíqêÜ1ôá<àâéá<Þä ò ãÜ á<ö1Þ Ü1Þ ª-áwô<ÞßÝßáãêܯÊö1ÞàÞá<ö1ÞlíqêÜ1êíwã âï¸Ý"öâêôwãôÀâéî1î1ïãÞòhá<êeêÜ1Þ xò1ãíwÞÜ1ôãêÜ1âïÜ1êÜ1ïãÜ1Þ%âà âò4ÞÝ áãêÜ8xò1㢦æOô<ãêÜL}²~Çö1Þ6ç1à<ôá Þå/æâéá<ãêÜQzêàÿ6á ® ãô»ôãíwî1ïäjÞå/æâïÓáêâqò1Þ áÞàíqãÜ1ãô©áãÝ ôêïÞ Ø l¶7Ù^ÚÛ>¹=ò1æOÞáêÈáöOÞî1à<ê-ò1æ1Ý á zêàAé5á é{}k°êà'ÿ ® áö1ÞòOÞÝêæ1î1ïÞßò Þå/æâéá<ãêÜ1ôF¶ ¹âéà<ÞïãÜ1ÞâàãÜ à<æOïÞãÜñò1ã¦DÞàÞÜáãâéáãêÜÞOÞÜ6ãzáöOÞMêJÞàÜ1ãÜ{ÊÞßå-æ1âéáãêÜ(¶ ¹ÝßêÜá"âãÜ1ô î êïä-Ü1êíwã âéï4ÜOêÜ1ïãÜ1Þ%âéà<ãá<ãÞßô$} váÊãôÇÞßíqîOöâô<ã§Þßòá<öâéáÅýü®ïãÜOÞ%âàã§%â4áãêÜãôÇÞßíqîOïêäÞßòL}M°êàÇâÜ1êÜ1ïãÜ1Þâà î1àêlw1ïÞßí ôêïÞòæ1ô<ãÜ{ Å»Þ ÇáêÜ_ïãÜOÞ%âàã§%â4áãêÜAëáöOÞqÝßêíqîOæOá"âéá<ãêÜ1âïB=êà
sî Þà âò1ò1ãèáãêÜâïî êïèä+ÜOêíqãâï
Ý"ö1âêô®êà<ò1Þßà6ãô î1àêîDêàáãêÜâï áêwâô<ãÜ{ïÞiŽÞOÇá<êÜÖãèáÞßàâéá<ãêÜL} Å½Þ ª-ááê áö1ÞsàÞï â4áãÞïèä ïêbÝêíwî1æOáâéáãêÜâïZêà>
áöOÞMíwêÜ1êíwã âéï»Ý"öâéêô öâôâò1ò1ãèáãêÜâï âò4éâÜáâÞôºÊö1ãÝ"ö âà<Þ ãíwî êàáâÜá²zêà»îOàâÝ áãÝâïÓâî1îOïãÝâéáãêÜ1ôO}'°
ãà<ôá<ïäë1áö1Þ6îDêïèä-Ü1êíwã âïDêà<ò1Þßà zêàÇáöOÞ6íwêÜ1êíwã âéïDÝ"öâéêôâîOî1à<êhª+ãíqâéáãêÜlÝ%âéÜQw Þ6òOÞßáÞßà<íwãÜ1ÞßòÖòOæ1à<ãÜ{wá<ö1Þ Ýêíwî1æOáâéáãêÜ æ1ô<ãÜ{ âÜdÞO¨wÝãÞÜáÖôáêîoÝàãá<Þà<ãêÜL}¿vÜ\áö1ÞW¬ âéïÞà>
/ãÜ\îDêïä-Ü1êíwã âï»Ý"öâêôíwÞßáöOê+òdâÜxâî1î1àêî1àã âéá<Þ î êïä-Ü1êíwã âéï êà<ò1Þßà öâéô áêw ÞÈÞßôáãíâ4áÞò ÿ Sþ ü Sþ7}F½+ÞßÝêÜOò1ïäëáö1Þ®Þå/æâéá<ãêÜ1ô ¶ ¹Êò1Þî ÞÜOòeêÜ1ïä êÜsáö1ÞÀíwÞ%âÜsêz=áö1ÞÀæ1ÜOÝÞà©á"âãÜ´éâàã âwOïÞ}D~ÇöOÞà<Þ zêà<Þéëá<ö1ÞÀãÜOð1æ1ÞÜ1ÝßÞqêzò1㢦Þßà<ÞßÜ/á æ1ÜOÝÞà©á"âãÜáä ò1ãôáàãw1æ+áãêÜ1ôÅâÜ1òeò1ã¦DÞàÞÜáiéâà<ãâÜ1ÝÞßôÅÝ%âÜ´wDÞwôá<æ1ò1ãÞòMâzÒáÞßà ôêï-ãÜ{¶ ¹êÜ1ïèäêÜOÝÞ}Y~Çö1ãôÅãô âÜMãíwîDêà©á"âÜáÅî1àêî ÞàáäsôãÜ1ÝßÞãÜMî1à<âÝßá<ãÝâïî1à<êw1ïÞßíqôñáöOÞqãÜ1î1æOá6ò1ãô©áàãw1æOá<ãêÜsãèáô<Þßïz=Ý%âÜ_âïôê w Þ ôæ{w |ÞßÝßá½áêÀæ1Ü1ÝßÞàáâãÜáä} ~ÇöOÞ íqêÜ1êíwã âïÝ"öâéêôãô)êÜ1ïèä6íwê-ò1Þà<âéáÞßïäÅãÜá<à<æ1ôãÞéëô<ãÜ1ÝÞ/zêà
ôêï-ãÜ4D¶ l¹êÜ1ïèäÅáö1Þ ôæ1íwíâx áãêÜ1zêàÇáö1Þ íâ4áà<ãyªlÞßÜ/á<à<ãÞô½ãÜ áö1Þ ò1Þßá<ÞàíqãÜ1ãô©áãÝñôêïÞà½öâôÊáê(wDÞ6âò|æOôáÞßòL}²°êàÊò1ÞßÝà<Þâô<ãÜ{ áöOÞãÜá<à<æ1ôã-ãáäeêz á<ö1ÞjíwêÜ1êíwã âéïÝ"öâêôÈâéá6á<ö1ÞÞ2ª+îDÞßÜ1ô<ÞlêzÊÞ ¨wÝãÞßÜ1Ýßäëáö1ÞqíqêÜ1êíwã âïÝ"öâéêô Þ ª+îâéÜ1ô<ãêÜÝê-ÞO¨wÝãÞÜáô
Ý%âÜDw ÞÝßêíqîOæOáÞßòæ1ô<ãÜ{)zêàÞ ªOâíwî1ïÞ¸çÜ1ãèáÞòOã¦DÞà<ÞßÜ1ÝÞßô$}k°êàÓáö1ÞÞ ª-áÞßÜ8x ô<ãêÜêz
áö1ÞÈíwêÜ1êíqãâïAÝ"öâêô áêjí®æ1ïá<ãî1ïÞñæ1Ü1ÝÞßàáâãÜIéâàã âwOïÞô»âYÞÝßá<êàêzHà<âÜ1ò1êí éâàã âwOïÞô áÌ¶é ¶?ܹ Úhó$óhó$Úé 4¶?Ül¹>¹ÓÝâÜ w Þ=æOô<ÞòãÜ6Ýßêí w1ãÜâéá<ãêÜFÊãá<ö®íÈæOïáãò1ãíwÞÜOô<ãêÜâïíwêÜ1êíqãâïô ÊöOãÝ"ö âàÞÀá<ÞÜ1ä ôêà î1à<ê-ò1æ1Ý áô êz íwêÜ1êíwã âéïô ãÜsêÜ1Þwò1ãíwÞÜ1ôãêÜ }½/áê-Ý"öâôá<ãÝÀî1àê+ÝßÞô<ôÞô6Ý%âÜwDÞÀà<Þßî1à<Þ2x ô<ÞßÜáÞòQwä â Åâàö/æ1Ü1ÞÜ x ê ÞO Þ6Þ2ª+îâÜ1ôãêÜW ¡} ç 7
ç 7
¥
ôÀõ õ ç
á
ç 7
>?h>)M l6??aOa> a õ ÞàHâòOò1ãá<ãêÜâéï-Þßå/æâéáãêÜ1¶ ¹áö1âéáãô
ô<êïÞßòDzêà
ãÜ1ÝàÞ%âôãÜ{iÿ ëáö1ÞÇíwêÜ1êíqãâïÝ"öâêôâî1î1àêª+ãyx íqâéáãêÜ1¶¹
ãÜ1Ýßà<Þ%âéô<ÞôkÊãá<öÀêÜ1ÞÇêàò1ÞàO}Á~Çö1ÞàÞOzêàÞë-Þ ª+î êÜ1ÞÜá<ã âï1ÝßêÜ ÞßàÞßÜ1ÝÞÝâÜáö1Þßêà<Þ áãÝ%âïïä w Þ»âéÝ"ö1ãÞ Þò }^váHãôà<Þßíâéà
Þßòqá<öâéá¸âî1îOïä-ãÜ{ñíwêÜ1êíqãâï+Ý"ö1âêô¸âô<ôæ1íwÞô¸ÝÞà©á"âãÜÀÝêÜáãÜ/æ1ãáäÈâÜ1ò ô<íwê-êáö1ÜOÞô<ôÝßêÜ1ò1ãèáãêÜ1ô
êzáö1ÞÇôêïæOá<ãêÜ6ãÜÈà<âÜ1ò1êí ôîâÝÞ}^vÜî1àâéÝßáãÝÞá<ö1ÞàÞÇÝ%âÜDw ÞÇâÜ1êÜ{§Þßà<ê î1àêlwâw1ãïãèáäáöâ4áîâà©áêzá<ö1Þî1âàâíwÞßá<Þà)ò1êíqâãÜiz âïïôÓêæOáôãò1Þ¸áö1ÞàâÜ{ÞêzÝßêÜ Þà>ÞÜOÝÞÇêzá<ö1Þ íwêÜ1êíwã âï Ý"öâêô»Þ2ªOî1âÜ1ô<ãêÜL}/°êàÇî1à<êwâw1ãïãáäqò1ãôáàãw1æ+áãêÜ1ôAÊãá<ö âéÜãÜOçÜ1ãèáÞñêàÊôÞíwã¢xãÜOçÜ1ãèáÞ ò1êíqâãÜ âpîâàá,Êãïïâïâ%ä-ô z âïï=êæOáôãò1Þjá<ö1ÞlàâéÜ{Þlêz½ÝêÜCÞà>ÞÜ1ÝßÞ}¯~Çö1Þ íwêÜ1êíwã âïHÝ"öâéêô Þ ª+îâéÜ1ô<ãêÜXàÞôæ1ïá<ôwãÜzâÜ âéÝÝæOàâéá<Þ âîOî1à<êhª+ãíqâéáãêÜhã¢z»á<ö1ãôî1àêlwâwOãïãèáä_ãôô<æ4¨wÝßãÞÜá<ïä ô<íqâïï ë ö1ê=ÞOÞßàë ãáÊÝâÜâ¦ÞßÝßáÊáöOÞ à<âéáÞÅêz)ÝêÜCÞà>ÞÜ1ÝßÞ} vÜwî1à<âÝßá<ãÝ%âéïâî1î1ïãÝâéáãêÜ1ô)á<ö1ÞÊíqêÜ1êíwã âæï/Ý"æ öâêô=Þ2ªOî1âÜ1ô<ãêÜXzêàÁØ<¶Ù^Ú>Û2ÚÜl¹
ãÜI¶?l¹
ãôá<à<æ1ÜOÝ%âéá<Þò âéáLÕL}Á~Çö1ÞÊíqêÜ1êíwã âï/Ý"öâêôÝê-ÞO¨wÝãÞÜáô ì ß í 7 êzáö1ÞÇæ1ÜOÝÞà©á"âãÜÀãÜ1î1æ+áîâà<âíqÞ áÞßà^ß'¶!Ül¹<Êãá<ö ç â1
-ÜOêJÊÜMæ1Ü1ÝßÞàáâãÜáäsò1ãôá<à<ãwOæOáãêÜeâà<ÞÀò1Þ áÞàä íqãÜ1Þò´wäsò1ã¦DÞàÞÜáãâéáãÜ{jáöOÞwíwêÜ1êíqãâï
Ý"öâéêô Þ ª+îâéÜ1ô<ãêÜHzêàbß'¶?ܹãܶ¹/Êãáöà<Þßô<î ÞÝ á½á<æ ê(éDzêà'é5á é1ë8Êö1ãÝ"öà<Þßô<æ1ïèáôÊæ1ô<ãÜ{wî1à<êî Þà©áä´¶!» ¹ãÜ æ ò ß æ/ôô Ú òDá ® Ú Ú ¶¼¹ ß á ô ò ò4é ôõ õ ø ç Êö1Þßà<Þ ' õ õ ãô²
/Ü1êÊÜL} ' Ç Ç
Éó~ ~ Òhø Ñ 1~ q
|+z~hÓ~ ) RÓ|/1}wÓ |-ø&~ ) % ~
vÜuá<ö1ãôÖô<ÞßÝßáãêÜ`â êÜOÞ xòOãíwÞÜ1ôãêÜâéï ÜOêÜ1ïãÜ1Þ%âéà âò8ÞÝ áãêÜ8xòOã¦Dæ1ô<ãêÜoî1àêlw1ïÞí ãôÖæ1ô<Þßò`á<ê ò ÞßíqêÜOôáà<âéáÞjá<ö1Þ âî1îOïãÝâéáãêÜ_êz»íwêÜ1êíqãâïHÝ"öâêô zêàÈâsôãíwî1ïÞwáÞßôáÀî1àêlw1ïÞßívêz»Ýßêíwî1æOá"âJx 1 áãêÜâïð1æ1ãòMòOä-ÜâíwãÝôO}6vÜ_áöOÞÜ1Þ2ª+á®ô<ÞßÝßáãêÜ_Ü/æ1íwÞàãÝâïHà<Þôæ1ïá<ôÈâàÞqîOà<ÞôÞÜáÞßòL}I~ÇöOÞôá<Þ%âò+ä Ü1êÜOïãÜOÞ%âàÇâéò4ÞßÝßáãêÜ8xò1ã¦Dæ1ô<ãêÜ Þå/æâéá<ãêÜ6zêà'Þïê+ÝßãáäØ< ¶ !ÚÜl¹ ãô²ãÞßÜ1w/ä
5Ø Ø ñ#"^¶?Ül¹ á ® Ú ! ! 5
Ø
!Sãý ® Ú ¡?Ú
¶? l¹
Êãá<öhâ Ü1êÜ1ïãÜ1Þâà âò4ÞÝßá<ãêÜeáÞßà<í âÜ1ò_âò1㢦æOô<ãêÜeá<Þà<í ÊãèáöMâÜ_æ1ÜOÝÞà©á"âãÜ-ãôÝêôãáä$"k¶!Ül¹ } ~Çö1ÞXw êæ1Ü1òâéàäpÝßêÜ1ò1ãèáãêÜ1ôÅâà<ÞÝ"öOêô<ÞßÜMáê1w ÞXØB¶ ® Úܹ)á âéÜ1òØ<¶ ÚÜl¹Zá ® }D~Çö1ÞÀô<êïæOáãêÜpêz áöOÞlò1Þßá<Þà<íwãÜOãôá<ãÝXéâà<ãâÜáÈêz,¶? l¹6ãôÈôö1êÊÜ ãܯ°
ãæ1à<Þ zêàÈôÞOÞßàâï'éâïæ1Þô®êzÇáö1Þ-ãô<Ýêô<ãáä "´á ì ® à ® óP ¥ à ® ó ¥ à à28&à %TíC}'~ÇöOÞ®ô<êïæOá<ãêÜÖãô½ÝêÜ1ôãò1Þßà<ÞßòsâéáôÞÜ1ôêàïê-Ý%â4áãêÜ ! ,# á ë ô<ÞÞ °
ãx 5 æ1àÞ }^~Çö1ÞÅæ1Ü1ÝßÞàáâãÜáäå-æ1âÜáãç1Ý%âéá<ãêÜlî1àêlw1ïÞí ¶! ¹=ãô ô<êï¢ÞßòÖæ1ôãÜ{Èá<ö1ÞñíwêÜ1êíwã âä ïÝ"öâéêôbw/ä Þ ª+îâéÜ1ò1ãÜ4æ1Ü1ÝßÞàáâãÜ5+ãô<Ýßêô<ãèá' ä "k¶!Ül¹âÜ1ò®á<ö1Þ/Þïê-Ýãèáä3ØB ¶ !ÚÜl¹ÓãÜ®â íqêÜ1êíwã âïÝ"ö1âêôÞ2ªOî1âÜ1ô<ãêÜ
"k¶!Ül¹^á
åæ ä
"
æOè²æ
ØB¶ !ÚÜl¹^á
¶é ¶?Ül¹>¹ Ú
åë ê
ë
Ø ¶(!e¹
èë ¶é ¶?Ül¹>¹ Ú
¶?£l¹
è²æ æ ç 7 ç 7 Êö1Þßà<ÞYé ¶?ܹñãô âïãÜ1Þâàáà<âÜ1ô>zêà<íqâéáãêÜsêz)"k¶!Ül¹ áêÖâ ôá"âéÜ1òâàò_ò1êíqâãÜM ¶é ¹2í âàÞ æ âéæ Ü1ò ì ç 7 ê íwêÜ1êíwã âïôHâà<êæ1Ü1òé,á é,ãÞÜwäV¶  ¹2}Á~Çö1ÞÞ2ªOî1âÜ1ô<ãêÜlÝê-ÞO¨wÝßãÞÜá<ô ì " í ê z áö1Þ)-ãô<Ýêô<ãáä äç 7 Êãá<öâX
/Ü1êÊÜÖæ1Ü1ÝÞßàáâãÜáä ò1ãôáàãw1æ+áãêÜ æ âà<ÞFã¢ÞßÜQwä æ ò " æ ôô " á Ú ò á ® Ú Ú ¶ ® ¹ ô ò ò4é ôõ õ ø ç
>?h>)M l6??aOa> a
1
0.8
velocity u
µ=0→ 0.6
←µ=0.25 ←µ=0.5 ←µ=1 µ=2→ µ=∞→
0.4
0.2 sensor location x=0.5→ 0 0
0.2
0.4 0.6 position x
0.8
1
*4, +-J/ .021<:a4 3APJÏ6 5²? 6 -ÀO3& 7e 8J'JOJPÀJ2^!?>O:9i J 5:?P :;7,<=-!P 5>?-ÀO@7yO^!> a¸2426-J> &748^$Ï45:O?À(9BA2¸&3':aDCFEHGJIDKMLKONQPSROLKMN ROLT.SLUP:LWVYX$ Êö1Þßà<Þ ' õ Z õ ãô/
/Ü1êÊÜL}/½+æ{wOôáãèáæOá<ãÜ{ áö1Þ íqêÜOêíqãâï1Ý"öâéêô Þ ª+îâéÜ1ô<ãêÜ1ôi¶!£ ¹HãÜáê6á<ö1ÞÜ1êÜ1ïãÜ1Þ%âà ' [ âò4ÞÝ áãêÜ8xò1㢦æOô<ãêÜlÞå/æâéá<ãêÜW¶? ¹àÞôæ1ïá<ô½ãÜ ë ë è)ë è²æ æ èë è²æ æ 5 ò{Ø ò Ø å ë ê åæ ê ¶é ¹ ¶é ¹aØ ñ å ë ê åæ ä ¶é ¹ ¶ éC¹" á ® ó ¶ l ¹ \ò ! ò\! 5 ç 7 ç 7 ç 7 ç 7 ~ â
/ãÜ{á<ö1ÞDÿ P òOÞà<ã¢éâéáã¢Þ®êzº¶ l ¹bÊãá<ö àÞô<î ÞÝ áñáê(ézêàbéYá ) î1àêîDÞßàáä´¶»C¹à<Þßô<æ1ïèáôÊãÜâÀò1ã¦DÞàÞÜáãâïÞßå/æâéáãêÜ1zêà²Øl¶ !e¹
_ ÿ `a å
^ç 7
ò{Ø ^ Ø ^ ñ \ò !
_ ÿ `?a å
^ ç Ó Fcb 7Dd
éæ1ô<ãÜ{] Þãw1Ü1ã§6î1àãÜ1Ýßãî1ïÞ âÜ1ò
ò 5 Ø ^ "f ^ á ® Ú ò\! 5
ÿ(á
® Ú Úhóhó$óOó
¶ ¹
ä4e ~Þà<íwô²Êãá<ö1êæOábض(!e¹ Ý%âÜHw Þ3wOà<êæ{ö/áÇá<êwá<ö1ÞÅà<ãöáÇöâÜ1òô<ãò1ÞÅêz'¶ l¹Së4Êö1ãÝ"öÖàÞô<æOïáôÊãÜ ò4Ø 7 ò 5 Ø 7 ñh" 7 á Ø 7 gò ! \ò ! 5 ò{Ø 7 ò{Ø ò 5 Øi Ø Ö Ø 7 ¯ ñ#" 7 áÐñ å ò\! \ò ! \ò ! 5
S
ä
^ç
_ ÿ `?a
® Ú
ò{Ø ^ Ø ^ ÖÃÿg" \ò !
ÿ(á
® Ú
ò 5 Ø Ú \ò ! 5 ä
¶ Â âl¹ ÿ(á
Ú2 Úhóhóhó ó
¶ Â w ¹
ä ä îå*}k¶  ⠹½ãô Þå/æâéï)áêjá<ö1ÞÈò1Þ áÞßà<íwãÜ1ãôáãÝ6îOà<êlw1ïÞí zêà»á<ö1ÞÈíwÞ%âÜQâéïæ1ÞÈêzáö1ÞÈæOÜ1ÝÞßàá"âéãÜS-ãô:x Ýêô<ãáäY" 7 }/îHå/ôO}B¶  w*¹Azêàí âÀò1ÞÝßêæ1î1ïÞòô<Þ á êz)Þå/æâ4áãêÜ1ô²Êö1ãÝ"öÖÝ%âÜHwDÞÅôêïÞò ôÞå/æ1ÞßÜ/á<ã âïïä zêà»ãÜ1Ýßà<Þ%âéô<ãÜ41ÿÖæáêjòOÞßáÞßà<æ íwãÜ1Þ6áö1ÞÈöOãö1Þßàaxêà<ò1Þßà íwêÜ1êíwã âéï Ý"öâêôñÝßê+Þ ¨qÝßãÞßÜ/á<ô ì Øl¶ !ÚÜl¹í ç âôÁzæ1ÜOÝßáãêÜÀêz ì Ø ¶ !ÚÜl¹í 7 }Á~ÇöOÞô<Þ½Þå/æâ4áãêÜ1ôHâà<ÞÊïãÜ1Þâà
ãÜ( Ø ¶(!Úܹ
ò1æ1ÞÇáêñá<ö1ÞÊî1à<ê-ò1æ1Ý áHà<ê æ1ïÞ ä ç ä êz¸ò1㢦Þßà<ÞÜá<ã âéá<ãêÜL})~Çö1ÞÝêíwî1æOáâéáãêÜâï=êà
Hzêà ôêï-ãÜ4áö1ÞÞßå/æâéáãêÜ1ôX¶  w*¹½ãôÞßå-æOãéâïÞßÜá áêwâÀô<ãÜ{ïÞiŽÞOÇá<êÜÖãèáÞßàâéá<ãêÜzêàÇôêï-ãÜ{Q¶  âl¹ }^Õ P êà<ò1Þßà»âéî1î1à<êhª+ãíqâéá<ãêÜlêzáöOÞ ôêïæ+áãêÜ ¼
>?h>)M l6??aOa> a zêà²Ø<¶(!ÚEÜl¹Ý%âéÜHw ÞÅêlwOáâãÜ1Þßò1w/äáà<æOÜ1Ý%âéá<ãÜ{á<ö1ÞÅíqêÜOêíqãâïÞ ª+îâÜOô<ãêÜHzêà²Ø<¶ !ÚÜl¹ãÜW¶!£ ¹âéá^ÕL} ~Çö1ãô½àÞôæ1ïá<ôÇãÜâÜâî1î1àêhªOãíâ4áãêÜjêzáö1ÞÅî1àêlwâw1ãïãèáäqòOãôá<à<ãw1æOáãêÜlêzáö1ÞñæOÜ1ÝÞßàá"âéãÜ1Þïê+Ýßãáä Ø<(¶ !Úܹ }D°àêí á<ö1ãôñòOãôá<à<ãw1æOáãêÜêá<ö1Þàñô©á"âéá<ãô©áãÝâï
îOà<êî Þà©áãÞßôÅâôÅíqÞâÜsâÜ1òVéâàã âÜ1ÝßÞÝ%âÜjw Þ ò1Þ áÞàíqãÜ1Þò } Ç kj
q |-F À~*ÓºÒ_~ Ó~eÒ_ =ø Ñ 1~ XÓ~}jÓ~D RÓ|/1} |-ø& ~ f" )%~
v Üñá<ö1ãô ôÞÝßá<ãêÜñàÞôæ1ïá<ôêz-á<ö1ÞíwêÜ1êíwã âï&Ý"öâéêôÄzêàáöOÞêÜ1Þ xò1ãíwÞÜOô<ãêÜâï4Ü1êÜ1ïãÜ1ÞâàAâò8ÞÝ áãêÜ8x ò1㢦æ1ôãêÜ Þßå-æ1âéáãêÜ âàÞ î1à<Þßô<ÞÜá<ÞòL} ~Çö1ÞÖà<Þôæ1ïá<ôqêz áöOÞÖíwêÜ1êíwã âéï=Ý"öâéêôjâàÞ ÝêíwîâàÞòXá<ê à<Þßô<æ1ïèáô6êzÇêá<ö1Þà6æ1Ü1ÝÞßàáâãÜáäMå-æ1âÜáãç1Ý%âéá<ãêÜMíqÞ áö1ê-ò1ô ãÜ_ôÞÝ áãêܯ8}»{}H°êà á<ö1ãô6Ýêíwîâàãô<êÜ áöOà<Þ Þ l xÞà<àêàñíwÞ%âôæ1à<Þßô6âéà<Þò1Þ çÜ1Þòjzêà á<ö1ÞÀÞàà<êàñãÜáö1ÞíwÞ%âm Ü "onC(¶ !e¹ ë á<ö1Þ éâà<ãâÜ1Ýq Þ p n 5 ¶ !e¹ âÜ1ò áöOÞ ä îOà<êlwâw1ãïãáäwò1ãô©áàãw1æOá<ãêÜzæOÜ1Ýßá<ãês Ü rn8¶ØDÚ !e¹êzáö1ÞFÞßïê-Ýãèáä6Ø<(¶ !Úܹ
t Zu ¶(!e¹ká
ô "on8¶(!e¹Bñ#"on ô d ÒF< ¶(!e¹ ô "on d ÒF Ò ¶(!e¹ ô
ô
ô Ú ô ô
Mt v?uw ¶(!e¹ká
ô p n 5 (¶ !e¹Áñhp n 5 ô d ÒF Ò ¶ !e¹ ô p n 5 d ÒF< ¶(!e¹ ô
tMx u (¶ !e¹kázy ê rn8¶!ØÚD!e¹Bñhrn d ÒF Ò ¶ØÚD!e¹ ò4Øcó
ô ô
ô Ú ô
¶ » ¹ ¶ J¥ ¹
{êá<öáö1ÞÊÞàà<êàHãÜÀá<ö1ÞÊò1ãô©áàãw1æOá<ãêÜ5zæ1ê Ü1Ýßá<ãêÜwâÜOòwá<ö1ÞÊôá"â4áãô©áãÝ%âï+íqêíwÞÜá<ô¸ãôÝêÜOô<ãòOÞà<ÞßòqôãÜ1ÝßÞ
í êÜ1êíwã âï Ý"öâêô½ÝâÜ áä+îOãÝ%âéïïäYw ÞñÞíwî1ïêäÞßòá<êÀÝêíwî1æOá<ÞÅá<ö1ÞÅî1à<êwâw1ãïãáäwò1ãôá<à<ãwOæOáãêÜzæ1Ü1Ý2x w áãêÜÈâéÜ1ò®áöOÞôáâéáãôá<ãÝ%âéï-íwêíwÞÜáôO}<~ÇöOÞ ô<êïæOáãêÜ ãô
ÝßêÜ1ôãò1Þßà<ÞòÀâ4á)á<ö1ÞôÞÜ1ôêàïê-Ý%â4áãêÜ@! ,# á } 5 ~Çö1ÞÀà<Þ zÞàÞÜ1ÝßÞwôêïæ+áãêÜpãôñâHÖêÜá<Þì âéà<ïêlôãíÈæOï âéá<ãêÜHÊãáö ® 8 æOÜ1ãzêàíqïèä ôâíwî1ïÞòsà<Þâïã§%âä x áãêÜ1ôO}Áóô<ÞßÝêÜ1ò xêàò1Þà çÜOãáÞZêïæ1íqÞ»íqÞ áö1ê-òlãô=æ1ô<Þßòláêò1ãô<ÝàÞßá<ã§Þ»áö1Þñôîâéáãâï ò1êíqâãÜL}B~Çö1Þ Ü1êÜOïãÜOÞ%âàÊî1àêlw1ïÞßí ãô½ô<êï¢Þßòæ1ô<ãÜ{YÅ»ÞOÇá<êÜpïãÜ1Þ%âéà<ã§âéáãêÜÊãèáöâéÜâî1îOà<êî1àã âéá<Þ6ÝßêÜ ÞßàÞßÜ1ÝÞ }| zêà½á<ö1~ Ýàãá<Þà<ãêÜ t <# á ® Þ l xÜ1êà<í êz
áö1Þ6à<Þôãò1æ1âï ë*Êö1ãÝ"ö à<Þôæ1ïá<ôZzêà½áö1ãô»îOà<êlw1ïÞí ãÜQ» Å»Þ ÇáêÜãá<Þà<âéáãêÜ1ô$} ê vÜT°
ãæ1à<Þ´_á<ö1ÞsíqêÜOêíqãâï½Ý"öâêôâî1îOà<êhª+ãíqâéáãêÜ êz áö1Þsò1ãôá<à<ãwOæOáãêÜÎzæ1Ü1Ý áãêÜdêz6á<ö1Þ Þßïê-Ýãèám ä rn8¶ØcÚ !e¹âé á ! ,# á ãôñÝêíqîâéà<Þòsáê áöOÞwàÞOzÞßà<ÞÜOÝÞôêïæ+áãêÜSzêà²ÕNá¿ 4}(~Çö1ÞwíqÞâÜ 5ä êz6áö1Þj-ãô<Ýßêô<ãèá ä "k¶!Ül¹jãôâôô<æ1íwÞòdáêýwDÞ " á } {êá<öoâ æ1Ü1ã¢zêà<í ¶Ýê Z á ® ó  ¹lâÜ1òoâ ïêÜ1êàíâïî1àêlwâwOãïãèáäÀò1ãô©áàãw1æOá<ãêÜ(zæ1Ü1Ý áãêÜj¶ ÝßêJ Z á ® óPl¹=âéà<ÞÝßêÜ1ô<ãò1ÞàÞòL}kvÜ1°
ãæ1àÞFâ®á<ö1Þ à<Þßô<æ1ïèáwãôÀô<ö1êÊÜýzêàwâeæ1ÜOãzêàí æ1Ü1ÝßÞà©á"âãÜ/áä òOãôá<à<ãw1æOáãêÜ êz»áö1Þ1-ãô<Ýßêô<ãèáäl}ýváwÝ%âÜÃwDÞ ô<ÞßÞÜ áö1âéáÀáö1ÞÖà<Þôæ1ïá<ãÜ{sæ1ÜOÝÞà©á"âãÜáäXòOãôá<à<ãw1æOáãêÜ êz á<ö1Þ1Þïê+Ýßãáä ãôÀÝïÞâà<ïèä Ü1êáqæ1Ü1ã¢zêà<íH}ý~Çö1Þ íwêÜ1êíwã âïOÝ"öâêô=Þ ª+îâÜ1ôãêÜãô¸Þ ªOâÝßá/zêà "Iá "âÜ1òà<Þôæ1ïá<ôãÜâÜjâÝÝßæ1àâéá<ÞâîOî1à<êhª+ãíqâéáãêÜÀêz áöOÞ îOà<êlwâw1ãïãáäwò1ãô©áàãw1æOá<ãêÜzæOÜ1Ýßá<ãêÜL}^vÜQ°
ãæ1à<ÞFwá<ö1ÞÅíqêÜ1êíwã âïÝ"öâêô âîOî1à<êhª+ãíqâéáãêÜjãô ô<öOêJÊÜzêà â®ïêlÜ1êàíâéïæ1Ü1ÝÞßàáâãÜáäqò1ãô©áà<ãw1æOá<ãêÜwêz áöOÞZ-ãôÝêôãáäl}^~ÇöOÞñâò4éâÜá"âÞ êzÓæOô<ãÜ4â íwêÜ1êíwã âïOÝ"öâêô=Þ ª+îâÜ1ôãêÜÝêíwîâàÞòqá<êÈâ íqêÜOêíqãâï1Þ2ªOî1âÜ1ô<ãêÜjÝâÜÝßïÞ%âéà<ïäXw Þ½ô<ÞÞßÜlãÜwáö1ãô ç æOà<Þ}Z~Çö1Þ®æOÜ1ÝÞßàá"âéãÜáä òOãôá<à<ãw1æOáãêÜêzáöOÞ5Þßïê-ÝãèáäHzêà½á<ö1Þ®ïêlÜ1êàíâéï ò1ãô©áà<ãw1æOá<ãêÜêzá<ö1Þ -ãôÝêôãáäeãô6âî1î1àêhªOãíâ4áÞò_âÝÝßæ1àâ4áÞïèäjzêà6àÞïâéáã¢Þïèäpïê î êïèä+ÜOêíqãâïêàò1Þà6ò1æ1ÞwáêÖá<ö1ÞæOô<Þ êz¸âjî êïä-Ü1êíqãâï Ý"öâêôñÞ2ª+îâÜ1ôãêÜL}F~ÇöOÞíqêÜOêíqãâï Ý"öâêôñÞ ª+îâÜ1ôãêÜpàÞôæ1ïá<ôãÜpâéÜsâÝÝßæ1àâéá<Þ âî1îOà<êhª+ãíqâéáãêÜ5zêàáö1Þô<Þíwã¢xãÜOç1Ü1ãá<Þ=îâéàâíwÞßá<Þà
òOêíâéãÜÈêzá<ö1Þ ïêlÜ1êàíâéï-òOãôá<à<ãw1æOáãêÜAë4ãzá<ö1Þ î1àêlwâw1ãïãèáäqêz)á<ö1Þñîâà©áÇáöâéá²z âéïïôêæOáôãò1Þá<ö1ÞñàâéÜ{ÞÅêzÝêÜ ÞàÞÜ1ÝßÞ®ãôÊâôæ4¨wÝãÞßÜáïäô<íqâïï?}
1
exact MCh
0.8
probability distribution function Fu(u)
probability distribution function Fu(u)
>?h>)M l6??aOa> a
0.6 0.4 0.2 0 0.52
p=8
0.54
0.56
0.58 0.6 velocity u
0.62
0.64
0.66
i7yO[-JJ,7y 43ýÏ?6O-ÀO&7gE
1
exact MCh
0.8 0.6 0.4 0.2 0 0.52
p=8
0.54
0.56
0.58 0.6 velocity u
0.62
0.64
0.66
7y ÄPS+OJ 43²2 Ï?6O-ÀO&7gE
*4,+-J P:0i J3AÏ2g5U82$ 8=Ä&AOA?c63'2?P )&7{8AJSSJÀPÀ(9ZÏ?6O-ÀO7-JM5:?P F&7{48Jk >À:5a(9 \ i7yOGs' /G M}5aS3)A ?²?/8^JS5:L? 6-?P /7y L48JÁJ ÀPJ> Ä O5_ÀO:;7<-?ÀOAJSÀ3) ÜXÞßà<àêàÀÝêÜ ÞßàÞßÜ1ÝÞ ôáæOòOä öâôXw ÞÞÜXîDÞßà>zêàíqÞßò×zêàÈáö1Þæ1Ü1ã¢zêà<ívò1ãô©áàãw1æOá<ãêÜ êz»á<ö1Þ » -ãôÝêôãáäl}(vÜN°)ãæ1àÞ Â â âÜ1ò  wsáö1ÞwÞàà<êàÅÝêÜCÞà>ÞÜ1ÝßÞêz=áö1ÞÀíwêÜ1êíwã âéï
Ý"öâêô6ãôFãÞÜMâô zæ1Ü1Ý áãêÜpêzMwDêéáöpáö1Þî êïèä+ÜOêíqãâïÓêà<òOÞàÅâÜ1òpá<ö1ÞÝêíwî1æOáâéáãêÜâï=êà
Hzêà áöOÞæ1Ü1ãzêà<í ò1ãô:x áàãw1æ+áãêÜzêàÇáö1ÞF-ãôÝêôãáäl}MvÜ áö1ÞÅôâéíqÞñç æOà<Þ à<Þôæ1ïá<ô²zêàÇêáöOÞàÊæ1Ü1ÝßÞàáâãÜáä å/æâÜá<ãçÝâéáãêÜ íwÞßáöOê+ò1ô
âà<Þ âïôê)ã¢ÞÜëlÊö1ãÝ"öÀâàÞò1ãô<Ýßæ1ô<ôÞòÀãÜÈôÞÝ áãêÜ(8}À»4}BvÜD°
ãæ1àÞ Â â ãèá
ÝâÜDw Þ ô<ÞßÞÜáöâ4á íwêÜ1êíwã âïÝ"öâêôàÞôæ1ïá<ô
ãÜ6ö1ãö1Þà)êà<ò1ÞßàâîOî1à<êhª+ãíqâéáãêÜ1ôÓêz1á<ö1Þ æ1ÜOÝÞà©á"âãÜáä6òOãôá<à<ãw1æOáãêÜ6âÜ1ò áöOÞwô©áê-Ý"öâô©áãÝâïíwêíqÞßÜáô$}X~Çö1ÞÀôêïæOá<ãêÜVzêàá<ö1ÞÀæ1Ü1ÝßÞàáâãÜáäsò1ãôá<à<ãwOæOáãêÜSzæ1Ü1Ý áãêÜeêz=á<ö1Þ Þßïê-ÝãèáY ä r[n8¶!ØDÚ ! ,# ¹=ÝêÜCÞà>Þô½Þ ª+î êÜ1ÞÜá<ã âïïäl}B~Çö1ÞñíqÞâÜlâÜOò á<ö1Þ)éâàã âÜ1ÝßÞÝêÜCÞà>ÞÅêÜ âhÞà:x âÞ/Êãáö6áö1ÞÇô<âíqÞàâéá<ÞÇâô
á<ö1Þ ò1ãôáàãw1æ+áãêÜ5zæ1Ü1Ý áãêÜL}BvÜX°)ãæ1àÞ Â wëáö1ÞÇÞßà<àêàÝêÜCÞà>ÞÜ1ÝßÞ½âô zæ1Ü1Ý áãêÜjêzÝêíqî1æ+á"âéá<ãêÜâéï*=êà>
qãÜáÞßà<íwô êz áöOÞñÞå/æ1ãéâïÞÜá Ü/æ1í,wDÞßà êzò1Þßá<ÞàíqãÜ1ãô©áãݽô<êïÞßô ãô,ãÞÜL}´°êà6á<ö1ÞlíwêÜ1êíwã âïÝ"ö1âêôÈáöOÞlÞå/æâéá<ãêÜWzêà)Õ#á ® ãô6áö1ÞjòOÞßáÞßà<íwãÜ1ãôá<ãÝîOà<êlw1ïÞí ãá<ô<Þßïzbzêà®á<ö1ÞlÞ ª+î ÞÝßá<Þòýâéïæ1Þjêz½á<ö1Þlæ1Ü1ÝßÞà©á"âãÜzî1âàâíwÞßá<ÞàO}W~Çö1Þ Ýêíqî1æ+á"âéá<ãêÜâéïM=êà
MîDÞßà âò1òOãáãêÜâï)îDêïä-Ü1êíwã âï)Ý"öâêô êàò1Þà ãôñÞßå-æOãéâïÞßÜá á<êÖêÜ1ÞŽÞOÇá<êÜ_ãèáÞà<âéáãêÜSzêàÅô<êï-ãÜ{lá<ö1Þ Ü1êÜOïãÜOÞ%âàÅî1àêlw1ïÞßíQ}½+ãÜOÝÞwô<êï¢+ãÜ{ áö1ÞwÜ1êÜ1ïãÜ1ÞâàÅî1à<êw1ïÞßí à<Þå/æ1ãà<Þßô6ãÜMáöOãôÅÝ%âôÞ»IÅ»ÞOÇá<êÜ ãá<Þà<âéáãêÜ1ôëáö1ÞlÞßà<àêà®ÝßêÜ Þà>ÞÜOÝÞêzÇáö1ÞíqêÜOêíqãâïHÝ"öâêô5Êãáö àÞôîDÞßÝßááê Ýêíwî1æOáâéáãêÜâï =êà
lãÜá<Þà<íwô½êzò1Þ áÞßà<íwãÜ1ãôáãÝñô<êï¢Þßô»ãôº»wáãíqÞßô'z âôá<ÞàÊáöâÜáö1Þ ÝêÜCÞà>ÞÜ1ÝßÞ,Êãá<öÖàÞôîDÞßÝßá } ãÜáö1Þ®âî1î1àêª+ãíâx áêqîDêïä-Ü1êíwã âïêà<ò1Þßà$}º~Çö1ãô»à<Þßô<æ1ïèáô ãÜá<ö1ãô½Ý%âéô<ÞÈãÜâÜÖÞà<àêà êz  óP ® áãêÜpêz¸áö1ÞÀò1ãôá<à<ãwOæOáãêÜSzæ1Ü1Ý áãêÜjzêàÅâÜeâò1ò1ãèáãêÜâï
Ýßêíwî1æOá"â4áãêÜâïêà>
pÝêíwîâàÞòpáêlá<ö1Þ ò1Þ áÞàíqãÜ1ãô©áãÝî1à<êw1ïÞßí Þå/æ1ã¢éâïÞßÜ/áÊá<êwêÜ1ïä6òOÞßáÞßà<íwãÜ1ãôá<ãÝôêïÞô$} Ç
u ~ Ò)O}é ~ XØqÒ Ñ
~ Ñ |-}Ò_| Ñ ~ )
vÜáö1ãôÊô<ÞÝ áãêÜá<ö1Þ à<Þôæ1ïá<ôÊêz
á<ö1Þ6íwêÜ1êíqãâïDÝ"ö1âêôbzêàÇáö1Þ Ü1êÜ1ïãÜ1ÞâàÊâò4ÞÝ áãêÜ8xò1㢦æOô<ãêÜ Þå/æâ4áãêÜN¶! ¹ âà<ÞÅÝßêíqî1âà<Þßò á<êwá<ö1ÞÅà<Þßô<æ1ïèáôÊêz
á<ö1ÞÅîDÞßàá<æ1àwâ4áãêÜíwÞßá<ö1ê-òAëOáöOÞ ¬ÅâïÞßà
/ãÜlî êïèäCx £
>?h>)M l6??aOa> a
MCh: mean MCh: variance MCh: distribution PM: mean PM: variance
0
−2
10
−4
10
−6
0
−2
10
−4
10
10
MCh: mean MCh: variance MCh: distribution PM: mean PM: variance
0
10
L1 error
L1 error
10
−6
2
4 6 polynomial order p
8
10
10
?f8:; iq0:A 69hJS3'Ï2 O>
0
2
−2
L1 error −4
10
−4
−6
2
4 6 polynomial order p
8
L1 error
−2
10
−4
2
4 6 8 10 work [# deterministic solves]
12
MCh: mean MCh: variance MCh: distr. NIPC: mean NIPC: variance NIPC: distr.
0
10
−2
10
−4
10
10
−6
0
0
Mf8:; o£0
5:S3)AO-JÀO2¡ 4¢
MCh: mean MCh: variance MCh: distr. NIPC: mean NIPC: variance NIPC: distr.
0
10
10
10
L1 error
0
5Df8:; o£0:A 69hJS3'Ï2 ¸>
10
−2
10
10
−6
10
MCh: mean MCh: variance MCh: distribution PC: mean PC: variance PC: distribution
0
10
L1 error
MCh: mean MCh: variance MCh: distr. PC: mean PC: variance PC: distr.
10
10
f'8:; q0M5aS3)AO-¸?P 2¡eO¢
0
10
4 6 8 work [# deterministic solves]
−6
2
4 6 polynomial order p
8
cf8:; ¤[¥(o£0:A 69hJS3'Ï2 O>
10
10
0
2
4 6 8 work [# deterministic solves]
10
74 '8:; ¤¥(o£0M5aS3)AO-¸ÀO2¡ 4¢
*4, +-J2¦M0\§ ? o5: hOa4+ a
5:S7 8£3' S3'P ¨5U82$ ® 8
o5:3©A2>'M48JªA>!4-J?P 3Aa8J @WC 8 «Á2Pa4¢$PA 69hJS3'Ï2¬5U8 Oo3':48J of 2b48J^J O;P$?4-!P 2A 69$S3'P ¬5U82$o3Aa8J ¤¥(of 7-JM 5:?P &7A 69$S3'P ¸aÄ /5aS3)AO-¸ÀO2¨¡ 4¢l
>?h>)M l6??aOa> a
L1 error
−2
10
−4
10
−6
−6
2
4 6 polynomial order p
8
f§8:; 8¬0AO,9hJ3'P ¸a
L1 error
−2
10
−6
4 6 polynomial order p
8
−2
10
0
2
4 6 8 10 work [# deterministic solves]
12
Mf§8:; o£0O5aS3)AO-¸?P 2¨¡ 4¢
EMCh: mean EMCh: variance EMCh: distribution NIPC: mean NIPC: variance NIPC: distribution
0
10
10
−4
EMCh: mean EMCh: variance EMCh: distribution NIPC: mean NIPC: variance NIPC: distribution
0
10
L1 error
2
10
L1 error
−2
10
−4
5f§8:; o£0:A 69$S3'P ¸a
−2
10
−4
10
10
−6
0
10
10
−6
10
4 6 8 work [# deterministic solves]
EMCh: mean EMCh: variance EMCh: distribution PC: mean PC: variance PC: distribution
0
−4
0
2
10
10
10
0
§i'8:; '8¬05:S3)AO-JÀO2¨¡ 4¢
EMCh: mean EMCh: variance EMCh: distribution PC: mean PC: variance PC: distribution
0
10
10
10
L1 error
0
−2
10
−4
10
10
EMCh: mean EMCh: variance EMCh: distribution MCh: mean MCh: variance MCh: distribution PM: mean PM: variance
0
10
L1 error
EMCh: mean EMCh: variance EMCh: distribution MCh: mean MCh: variance MCh: distribution PM: mean PM: variance
0
10
−6
2
4 6 polynomial order p
8
Df§i'8:; ¤¥(o£0:A 69hJS3'Ï2 ¸>
10
10
0
2
4 6 8 work [# deterministic solves]
10
7U §i8O; ¤¥(o£0O5:3)AO-2?P ¨¡eO¢
*4,+-JM0)§*?O5:O$Oa4+ >M5:'&7L48JºT$SAOP2?~3AlO JS3'Ï2i5U82O §i'8
5aS3)A2>5i83' J3AÏ2 5U8 O ' 3 :4J8 8=L 8 A >!4J- 4 ÀOHA 3 aJ8 i@C 4J8 ®Á « 2Pa4h¢ ÀA 69hJS3'Ï2g5U82Of3'a8J ofÄ 8 MJO:; P$?4- ?ÀOA O,h9 J' 3 P g5U8 O[' 3 aJ8 ¤[¥(of< [7J- M:5 ?P 3S7A O,h9 J' 3 P ¸><2H:5 S3)AO-JÀO2 ¡ 4¢
>?h>)M l6??aOa> a Ü1êíwã âéïAÝ"öâêô»íqÞ áö1ê-òâéÜ1òâwÜ1êÜ8xãÜáàæ1ô<ã¢Þ®î êïèä+ÜOêíqãâïÝ"ö1âêô íwÞßá<ö1ê-ò ãÜ áÞßà<íwô êzâÜÞßà<à<êà ÝêÜCÞà>ÞÜ1ÝßÞ ô©áæ1òOäDÊãèáöÀà<Þßô<î ÞÝ á=á<ê6â5ÖêÜá<Þ ì âéà<ïêÅàÞOzÞàÞÜ1ÝßÞ»ôêïæ+áãêÜÀâô^zæ1Ü1Ýßá<ãêÜÀêzDî êïä-Ü1êx íwã âïDêà<ò1Þßà âéÜ1òÖÝßêíwî1æOá"â4áãêÜâï =êà
ëô<ÞßÞ,°)ãæ1àÞ Â }/vá½ãô½òOÞíwêÜ1ôá<àâéá<ÞòáöâéáÊá<ö1ÞÅíqêÜOêíqãâï Ý"öâêôà<Þßô<æ1ïèáô)zêà½áö1ãôî1àêlw1ïÞßí ãÜpâ6Àáê  á<ãíwÞô öOãö1Þßà ÝßêíqîOæOá"âéá<ãêÜ1âïÓÞO¨wÝãÞÜ1Ý äpâô»êáö1Þßà î êïä-Ü1êíwã âéïDÝ"öâéêôÊíqÞ áö1ê-ò1ô$} Ç m
Ë|/}&: }&÷O&~D#Ò_| Ñ ~A
~ öOÞ îDÞßàá<æ1àwâ4áãêÜ6íwÞßá<ö1ê+ò6ãôÝêÜOô<ãòOÞà<ÞßòÈáêZwDÞâºz âô©áíwÞßáöOê+ò áê êwOá"âãÜ6êÜ1ïäñá<ö1ÞïêJhêà<ò1Þßà Ç ôáâéáãôá<ãÝ%âéïíwêíqÞßÜáô$}^~ÇöOÞ àÞôæ1ïá<ôÇêzÓáö1ÞÅî Þàá<æ1àw1âéáãêÜlíqÞ áö1ê-ò âàÞñÝêíwîâàÞòláêáöOÞñà<Þôæ1ïá<ô êzá<ö1ÞÇíqêÜ1êíwã âïÝ"öâéêôãÜX°)ãæ1àÞô  ââÜ1ò  w zêà)á<ö1ÞÇæ1Ü1ã¢zêà<í`ãÜOî1æOáæOÜ1ÝÞßàá"âéãÜáäl}Á~ÇöOÞÇà<Þôæ1ïá<ô êzÇá<ö1Þî Þà©áæ1à>wâéáãêÜhíwÞßá<ö1ê+ò_âà<ÞÞå/æâï¸áêÖá<ö1ÞjíwÞ%âÜhâÜ1òWéâàã âÜ1ÝßÞjâîOî1à<êhª+ãíqâéáãêÜ1ôÅêzÇá<ö1Þ íwêÜ1êíwã âïÝ"öâéêô²zêàÁÕ6á ® Ú Ú+ëOôÞÞ5°
ãæOà<Þ Â â8}^~Çö1ÞÅô<ÞÝßêÜ1ò8xêà<òOÞàÊô<ÞßÝêÜ1ò xíwêíqÞßÜá½âî1î1àêª+ãyx íqâéáãêÜlãôÊÜ1êáë wDÞßÝ%âæOô<Þ®ãÜ ãáôÊò1Þßà<ã¢â4áãêÜ âÜ âéò1ò1ãá<ãêÜ1âïAÝàêô<ô½î1àê+ò1æOÝßáÊáÞßà<í ãôÊÜ1ÞOïÞßÝßá<ÞòL}Mvá Ý%âéÜwDÞ»ô<ÞßÞÜjáö1âéáá<ö1Þ íwêÜ1êíwã âéï1Ý"öâêôà<Þ%âéò1ãïèäÀÞ ª-áÞßÜ1ò1ô áê6ö1ãö1Þà:xêàò1Þà=âî1î1àêhªOãíâ4áãêÜ1ô¸âÜ1ò âÜâî1îOà<êhª+ãíqâéáãêÜzêà áöOÞ æOÜ1ÝÞßàá"âéãÜáälò1ãôáàãw1æ+áãêÜL}Á~Çö1ãô½àÞôæ1ïá<ô½ãÜâÀí®æ1Ý"öÖíwêàÞÅâÝÝßæ1àâéá<Þ ô<êïæOá<ãêÜ á<öâÜpáöOÞîDÞßàáæOàwâéá<ãêÜpíwÞßá<ö1ê-òL},vÜ´°
ãæ1à<Þ Â wpãáñÝâÜjwDÞôÞÞßÜeá<öâéáñáöOÞíqêÜOêíqãâï Ý"öâêôqâéî1î1à<êhª+ãíqâéá<ãêÜMãôÝêíqî1æ+á"âéá<ãêÜâéïïäeâéôÞO¨wÝãÞÜáqâôÈáö1Þlî Þà©áæ1à>wâéá<ãêÜ íwÞßá<ö1ê+ò êzÊá<ö1Þ ôâéíqÞ»êà<ò1Þßà$}Á~ÇöOÞíqêÜ1êíwã âï1Ý"ö1âêôíqâãÜ/áâãÜOôkz âéôá ÝßêÜ ÞßàÞßÜ1ÝÞzêà¸ö1ãö1Þà¸êàò1Þàâî1î1àêª+ãíâx áãêÜ1ôO} Ç Ç
¯ |/}ÔAR°~ Ò×ÓÓ~eÒ_ =ø Ñ 1~ (Ò_| Ñ ~A
v ÜW°
ãæ1à<Þßô  ÝqâéÜ1ò  òsáöOÞqÞßà<à<êà ÝßêÜ ÞßàÞßÜ1ÝÞjêzáöOÞqíwêÜ1êíwã âéï
Ý"öâêô®âÜOòeá<ö1Þ¬ÅâïÞà
/ãÜ î êïä-Ü1êíwã âéï+Ý"öâéêô=íwÞßá<ö1ê-òqâéà<ÞÊÝêíwîâàÞòXzêàáöOÞ»æ1ÜOãzêàíYò1ãôáàãw1æ+áãêÜ ÊãáöÀàÞô<î ÞÝ á=á<ê6î êïèäCx Ü1êíwã âéïAêà<òOÞà»âÜ1ò Ýßêíwî1æOá"â4áãêÜâï =êà
*}b~Çö1Þ6Ýêæ1îOïÞòÖôä-ôá<Þí êzÞßå/æâéáãêÜ1ô½êzá<ö1Þ ¬ÅâïÞà
/ãÜ î êïä-Ü1êíwã âéï¸Ý"ö1âêôíwÞßáöOê+ò àÞô<æOïáôãÜ âIz âôá<ÞàÞ2ªOî êÜ1ÞßÜáã âéï ÝêÜ ÞàÞÜ1ÝßÞÖãÜháÞàíqôêz»î êïèäCx Ü1êíwã âéïêàò1ÞàÀáöâéÜzá<ö1ÞÖíwêÜ1êíqãâï=Ý"ö1âêôëô<ÞÞQ°
ãæ1à<Þ Â Ý}νêÞ ÞàßëÇãÜzî1àâéÝßáãÝÞláöOÞÖÞßà<à<êà ÝêÜCÞà>ÞÜ1ÝßÞâéô)zæ1Ü1Ý áãêÜêz¸Ýêíwî1æOáâéáãêÜâïÄ=êà
Öãô âjíqêàÞ®ãíqî êàáâÜá íwÞ%âéô<æ1àÞêzáö1Þ®ÞO¨Dx ÝãÞÜ1Ý äpêz=âÜsæ1Ü1ÝßÞà©á"âãÜ/áäå-æ1âÜáãç1Ý%âéá<ãêÜpíwÞßá<ö1ê+ò }5~Çö1ÞÀÝßêæ1î1ïÞòsô<Þ áÅêzÜOêÜ1ïãÜ1Þ%âéà Þå/æâ4áãêÜ1ô zêàáö1Þº¬ÅâïÞßà
/ãÜ6îDêïä-Ü1êíwã âï/Ý"öâéêôíqÞ áö1ê-òÈàÞô<æOïáôãÜâ)z âô©áãÜOÝà<Þâô<ÞÇãÜÈÝêíqî1æ+á"âéá<ãêÜâéï =êà
âô^zæ1Ü1Ý áãêÜÀêzDá<ö1ÞÊîDêïä-Ü1êíwã âï-êàò1ÞàãÜwÝßêíwîâà<ãô<êÜ ÊãèáöáöOÞ½íwêÜ1êíqãâï+Ý"ö1âêô¸âî1î1àêâÝ"öAë/ôÞÞ °
ãæ1à<Þ Â òL}iváñÝâÜjwDÞÈôÞÞßÜeá<öâéáãÜáö1ãôÝ%âéô<ÞÈáöOÞÈíqêÜ1êíwã âïÓÝ"öâêôñà<Þ%âéÝ"ö1ÞôÅâ  á<ãíwÞôZz âéôáÞßà ÝêÜCÞà>ÞÜ1ÝßÞàâ4áÞ²Êãá<öqàÞô<î ÞÝ á=á<ê6Ýßêíwî1æOá"â4áãêÜâï4=êà
Èá<öâÜÀáö1ÞZ¬ÅâïÞßà
/ãÜÀî êïä-Ü1êíqãâïOÝ"öâéêô íwÞßáöOê+òL} Ç kj
o ~ D}M ) |±~ Ò×ÓÓ~eÒ_ ¸ø Ñ 1~ (Ò_| Ñ ~
° êàâzÜ1êÜ8xãÜáàæ1ô<ã¢ÞsîDêïä-Ü1êíwã âï Ý"öâêôíqÞ áö1ê-ò\áö1Þeô<êïæOáãêÜdãô Ü1êáÖæ1Ü1ãå-æOÞMôãÜ1ÝßÞeá<ö1Þ ôâéíqî1ïÞô)é?ÈãÜpà<âÜ1ò1êíÛô<î1âÝÞÀÝ%âéÜ´w ÞÈÝ"ö1êô<ÞÜ_âàwOãáà<âà<ãïä  ¡?} ½Þà<Þá<ö1Þôâíwî1ïãÜ{qîDêãÜáôñâàÞ Ý"ö1êôÞÜÖô<ãíwî1ïèäæ1ÜOãzêàíqïèäò1ãôá<à<ãwOæOáÞßòãÜláö1Þ3ÜJxò1êíqâãÜ }
>?h>)M l6??aOa> a v Ü(°
ãæ1àÞô  ÞÊâéÜ1ò  z áö1ÞÇÞßà<à<êàÝêÜ ÞàÞÜ1ÝßÞ»êzá<ö1ÞÊíqêÜOêíqãâïÝ"öâêô=âéÜ1òÈáö1ÞÇÜOêÜ8xãÜáà<æOô<ãÞ î êïä-Ü1êíwã âéï-Ý"ö1âêôHíqÞ áö1ê-òÀâàÞ²ãÞÜL}<~Çö1ÞÊÜ1êÜ8xãÜáàæ1ô<ã¢ÞÇî êïä-Ü1êíwã âéï-Ý"ö1âêôHíqÞ áö1ê-òÀâÝ"ö1ãÞOÞô âÀô<ïãöáïèäö1ãö1Þßà½Þßà<àêàÊÝêÜ ÞßàÞßÜ1ÝÞ6àâéá<ÞÅãÜ áÞàíqôÊêzáöOÞ6î êïä-Ü1êíqãâïDêà<ò1Þßàëô<ÞßÞ,°
ãæ1àÞô  Þ} »ê=ÞOÞàë¸ãÜMáÞàíqô®êzÇáö1ÞÝêíwî1æOáâéáãêÜâï^=êà
eáö1ÞjíwêÜ1êíqãâïÝ"öâêô®à<Þôæ1ïá<ôãÜ âSáãíqÞßô ö1ãö1ÞàÝßêÜ ÞßàÞßÜ1ÝÞ»àâéá<Þ áöâÜÀáöOÞ½ÜOêÜ8xãÜáà<æOô<ãÞÇîDêïä-Ü1êíwã âï-Ý"öâêôë/ô<ÞßÞ)°
ãæ1àÞ Â z:}B~ÇöOÞ»ÝßêíXx î1æOáâéáãêÜâï =êà
wêz á<ö1ÞÜ1êÜ xãÜá<à<æ1ôãÞ»îDêïä-Ü1êíwã âïÝ"ö1âêô íwÞßá<ö1ê+òqîDÞßàÇâò1òOãáãêÜâïî êïèä+ÜOêíqãâï êàò1ÞàÀãôÞßå/æ1ãéâïÞÜáÀáêsêÜ1Þ Ü1êÜOïãÜOÞ%âàò1Þ áÞßà<íwãÜ1ãôáãÝjô<êïÞ}¯~Çö1ÞàÞOzêàÞëá<ö1Þ Ýêíwî1æOáâéáãêÜâï =êà
îDÞßàî êïä-Ü1êíwã âéï êà<ò1Þßàãô»ãÜ á<ö1ãô»Ý%âôÞ zêà»á<ö1ÞÈíwêÜ1êíwã âéï Ý"öâêô»qáãíwÞô»ïê=Þà á<öâéá)zêà áöOÞ ÜOêÜ8xãÜáà<æOô<ãÞÅîDêïèä-Ü1êíwã âï Ý"öâêôO} vá6Ý%âéÜWw ÞqÝßêÜ1Ýïæ1ò1ÞßòMáö1âéá®ãÜeá<ö1ãôÅÝâô<Þwáö1ÞwíqêÜ1êíwã âï)Ý"öâêô6ãô5Jx  áãíqÞßôÅíqêàÞÀÞO¨wÝãÞÜá áö1âÜ êáö1ÞßàîDêïä-Ü1êíwã âïHÝ"öâéêôÀíqÞ áö1ê-ò1ô$}~Çö1ãôàÞôæ1ïáÀò1ÞßîDÞßÜ1ò1ôÀêÜ áöOÞlÜ-æOí wDÞßàêz)Å»ÞOÇá<êÜ ãá<Þà<âéáãêÜjáöâ4áÊãôÇà<Þßå/æ1ãàÞò áêÀô<êï¢ÞñáöOÞ ÜOêÜ1ïãÜ1Þ%âéàÇò1Þßá<Þà<íwãÜOãôá<ãÝ»î1à<êlwOïÞíH}
j
ȳ² p5q Ë r ʸ p È s É
r(ojr É
n 6Ê
u r
v ÜÖáö1Þ6î1à<Þ +ãêæ1ô½ô<ÞßÝßáãêÜãèá»ãô»ôö1êÊÜáöâ4á»á<ö1Þ6íwêÜ1êíqãâïAÝ"öâêô ãô»âÜÖÞO¨wÝãÞÜáñâïèáÞßà<Üâéá<ãÞ zêàÈæOÜ1ÝÞßàá"âéãÜáähå/æâÜá<ãçÝâéáãêÜ ãÜhÜOêÜ1ïãÜ1Þ%âéà®î1àêlw1ïÞßíqôO}jvÜ á<ö1ãô®ô<ÞÝ áãêÜ âIzæ1àá<ö1ÞàãÜ1ÝàÞ%âôÞ êzÇá<ö1ÞÞ ¨qÝßãÞßÜ1Ýßä_êzÇáö1ÞqíqêÜ1êíwã âïÝ"öâéêôÈãô î1àêîDêô<Þò }S~Çö1Þlêàò1Þà6êzÇáö1ÞqíqêÜ1êíwã âïÝ"öâéêô âî1îOà<êhª+ãíqâéáãêÜ ãôwãÜ1Ýßà<Þâô<Þßò æ1ôãÜ{eÞ ª-áà<âî êï âéá<ãêÜ á<êMÞßôáãíâ4áÞâò1ò1ãèáãêÜâï íwêÜ1êíqãâïÝ"öâéêô Ýê-ÞO¨wÝßãÞÜá<ô$} vÜXî1àâéÝßáãÝÞláöOÞÖãÜOçÜ1ãèáÞlíwêÜ1êíwã âï=Ý"öâêôwÞ ª+îâéÜ1ô<ãêÜ ãôÀá<à<æ1ÜOÝ%âéá<Þò â4áâöyÕ6Ö ¹ªá<özá<Þà<í âÜ1òhá<ö1Þ´¶yÕÖ ¹6Ýê-ÞO¨wÝãÞÜáôêz½á<ö1Þá<à<æ1Ü1ÝâéáÞßò íqêÜOêíqãâïHÝ"öâêô®Þ ª+îâÜ1ôãêÜzâàÞjÝêíqî1æ+áÞò } áàæ1Ü1ÝâéáãêÜ Þàà<êàÈãôÈãÜá<à<ê-ò1æ1ÝÞßò¯w/ähâô<ôæ1íwãÜ{á<ö1ÞlêáöOÞàÝê-ÞO¨wÝßãÞÜá<ôÈáêjwDÞ§Þàê{}WvÜ á<ö1Þ Þ ª-á<àâî êï â4áÞòíqêÜOêíqãâï1Ý"öâéêôëOá<ö1ÞíwêÜ1êíwã âéïÝ"öâêô Ýßê+Þ ¨wÝãÞßÜáô'w ÞßäêÜ1òláö1ÞD¶yÕ)Ö ¹áöá<Þà<í âàÞÀâî1î1àêª+ãíâéá<Þòsæ1ôãÜ{âÜeÞ ª-áà<âî êï âéá<ãêÜ êz=á<ö1ÞQ¶yÕ(Ö ¹ ÝßêíqîOæOáÞßòeÝßê+Þ ¨wÝãÞßÜáô$}(~Çö1ãôñÞ ªCx áà<âî êï âéá<ãêÜÀãôî êô<ôãw1ïÞë-ô<ãÜOÝÞ á<ö1ÞZéâïæ1Þ êzáö1ÞÝßê+Þ ¨wÝãÞßÜáô ãÜjãÜ1òOÞî ÞÜ1ò1ÞßÜáÇêz Õ âÜOòÞ öâhÞ êlw1ôÞàaÞò¯zêàâIéâàãÞ áä_êzÊá<ÞôáÀîOà<êlw1ïÞíwô®áö1âéáÈáöOÞjíqêÜ1êíwã âïHÝ"öâêôÝê-ÞO¨wÝãÞÜáôò1ÞßÝ%â%ä âî x î1àêª+ãíâéá<Þïèä®Þ2ªOî êÜ1ÞßÜáã âéïïä}<~ÇöOÞ âÝßÝæ1à<âÝßäÈêzDá<ö1ÞÇÞ ª-á<àâî êï â4áÞòÀíwêÜ1êíwã âéï-Ý"ö1âêôHãôHâFwâïâÜ1ÝßÞ w Þßá_=ÞÞÜ á<ö1Þáàæ1Ü1ÝâéáãêÜhÞàà<êà®âÜ1ò_á<ö1ÞjÞ2ª+á<àâî êïâéáãêÜ_Þßà<à<êà$}I~ÇöOÞà<Þ zêà<Þéëáö1ÞqÝ"ö1êãÝßÞjêzÇá<ö1Þ Ü/æ1í w Þà=êzÓâò1òOãáãêÜâïOÝê-ÞO¨wÝãÞÜáôAzêàâ ÝÞà©á"âãÜî êïä-Ü1êíqãâï1Ý"öâêôêàò1ÞàÕlãô¸ãíwî êàáâÜáh}<°êà áöOÞ Þ2ª-áàâéîDêïâéáãê
Ü Óâà<âÜ{ÞñãÜ/á<ÞàîDêïâéáãêÜî êïèä+ÜOêíqãâïôâà<ÞÅÞßíqî1ïêäÞò } vÜpôÞÝ áãêÜ Â } áö1ÞÈÞ2ª+îDêÜOÞÜáãâï
ÝßêÜ Þà>ÞÜOÝÞÀêzáöOÞÈíqêÜ1êíwã âï Ý"öâéêôÝê-ÞO¨wÝßãÞÜá<ôñãô ãïïæ1ôax áà<âéáÞßò®âéÜâïä/á<ãÝ%âéïïäbzêà á<ö1ÞHò1ÞÝâäÅÞßå/æâéáãêÜL}c~Çö1Þ¸Þ ª-áà<âîDêï âéá<Þò íqêÜOêíqãâï4Ý"öâêôãô ãÜ/á<à<ê-ò1æ1ÝßÞò ãÜô<ÞßÝßá<ãêÜ Â }Ï8}²vá»ãô»âî1îOïãÞßòá<êwá<ö1Þ®ÜOêÜ1ïãÜ1Þ%âéà»âéò4ÞßÝßáãêÜ8xò1ã¦Dæ1ô<ãêÜÞå/æâéá<ãêÜ âÜ1ò àÞôæ1ïá<ô âàÞ Ýêíqîâéà<Þò ÊãèáöÈá<ö1Þ íwêÜ1êíwã âï/Ý"öâéêô$}ÁvÜÀôÞÝßá<ãêÜD»á<ö1ÞÇà<Þßô<æ1ïèáôêz á<ö1ÞÇÞ ª-á<àâî êï â4áÞò®íqêÜOêíqãâï Ý"öâêô»âéà<ÞÅÝêíwîâàÞòláêwêá<ö1ÞàÇæ1ÜOÝÞà©á"âãÜáä å-æ1âÜáãç1Ý%âéá<ãêÜ íwÞßáöOê+ò1ôßë1ô<ÞßÞ,°)ãæ1àÞ»{}
jA m
È)ÙA%}4\~DO|-ÎÒM~DÓ~ Òhø Ñ O~DÀ
|+z~M Ñ |Ó|-ø×
|}´f ÓO&~
v Ülá<ö1ãôÇôÞÝßá<ãêÜ ãèáÇãô ãïïæ1ôá<àâéá<Þòá<öâéáÇáöOÞñíqêÜOêíqãâïÝ"öâêôÊÝßê+Þ ¨qÝßãÞßÜ/á<ôÊÝêÜ ÞßàÞ Þ ª+î êÜ1ÞßÜ8x áãâïïèä zêàá<ö1ÞñâîOî1ïãÝ%âéá<ãêÜwêzíqêÜ1êíwã âïÝ"öâéêô áê®á<ö1Þò1ÞßÝ%â%älÞßå-æ1âéáãêÜL}^°êàÇâ3âéà<ãÞ áäêzÓêáö1Þßà Â
>?h>)M l6??aOa> a î1àêlw1ïÞßíqô¸âÜâî1î1àêhªOãíâ4áÞÊÞ ª+î êÜ1ÞÜá<ã âïÝêÜCÞà>ÞÜ1ÝßÞñêzá<ö1Þ Ýßê+Þ ¨wÝãÞßÜáôãôHêlw1ô<Þßà>ÞòL}k~Çö1Þ»Þ ªCx î êÜ1ÞÜá<ã âïÝßêÜ Þà>ÞÜOÝÞ êz+áö1Þ¸íwêÜ1êíwã âï4Ý"öâêô
Ýê-ÞO¨wÝßãÞÜá<ô)ÝâÜ,w Þ=òOÞíwêÜ1ôá<àâéá<Þò6âÜâïèä/áãÝâïïèä zêà á<ö1ÞÅò1ÞÝâä Þßå/æâéáãêÜ òµ á ¶µeÚ · ¶ l¹ ò4Û Êãá<öãÜOãáãâïAÝßêÜ1ò1ãèáãê± Ü µ ¶ ® ¹'¸ á µ 7 âÜ1$ ò ¶º¹ ® æ1Ü1ÝßÞà©á"âãÜL})~Çö1Þ®ò1Þßá<Þà<íwãÜOãôá<ãÝ ô<êïæOáãêÜêzZ¶ l¹ ã© ô µL¶7Û>¹^» á µ 7 Þ ¼½:}^ î1î1ïãÝâéáãêÜjêz)íqêÜ1êíwã âïÝ"öâêôÊá<êÈáö1ÞÅæ1ÜOÝÞà©á"âãÜáäjå/æâÜáãèçÝ%â4áãêÜîOà<êlw1ïÞí wägÞ ª+îâéÜ1ò1ãÜ4¾ µ ¶Û2ÚEÜl¹qâéÜ1» ò ¶<¶!Ül¹ãÜ\âhíwêÜ1êíqãâïÊÝ"öâêô Þ ª+îâéÜ1ô<ãêÜdâÜ1ò\ò1ã¦DÞàÞÜáãâéáãÜ{_á<ö1Þ êÞßà<Ü1ãÜ{wÞå/æâéá<ãêÜQÿjáãíwÞô/Êãáö àÞô<î ÞÝ á»á<êwá<ö1ÞÅàâÜOò1êí éâàã âwOïÞ)éDzêà'é5á éÀà<Þôæ1ïá<ôÊãÜ òµ
ñ¾¶ 7 µ=ºáâÿ\¶
µ Ú ÿYá ® Ú Úhóhó$óOó ¶ ¼¹ ò4Û ä ä ~Çö1ÞÅâÜ1âïä/áãÝ%âïôêïæOá<ãêÜqêz/¶ ¼l¹kzêà¸áö1Þ íqêÜOêíqãâïÝ"öâêô Ýê-ÞO¨wÝãÞÜáôÇãô©µ
l¶7Û>¹M῵ 7 ¶¶ Û>¹ Þ¼SÀU½¸} ½+ê1ë+áö1ÞÅô<êïæOá<ãêÜlêzáöOÞ æOÜ1ÝÞßàá"âéãÜáä å/æâÜáãèçÝ%âéá<ãêÜlîOà<êlw1ïÞí`¶ ¹ãÜláÞàíqôÇêz)á<ö1ÞÅíqêä ÜOêíqãâï Ý"öâêô½Þ2ª+îâÜ1ôãêÜêzªµ ¶Û2ÚEÜl¹=ãô ë è)ë µL¶7Û2ÚÜl¹^Á á µ 7 Þ ¼SÀU½ å ë ê ¶ ¶ Û>¹ ¶7é*¶!Ül¹¹2ó ¶ l¹ ä ç 7 ~)â
/ãÜ4Àá<ö1ÞÅïêlâà<ãèáö1í
êzáö1ÞÅíwêÜ1êíwã âéïDÝ"öâéêôÊÝê-ÞO¨wÝãÞÜáôbzêà'ÛkáÁÂ
ïê*¶µ
¶(Â)¹>¹^áÍÿ ïêl ¶4¶ )  ¹ÄÖzïê'Ã4µ 7 Þ ¼&ÀUÄÅ Ú ÿXá ® Ú Ú$óhóhó Ú ¶ £l¹ ä ãá½ÝâÜIw Þ®ôÞÞÜÖáöâéá½áöOÞ6àÞï â4áãêÜHzêàÊïêl*¶ µ
l¶ Â)¹¹ÇãôÊïãÜ1Þ%âàÊãÜSÿe}²~ÇöOãô½ò1ÞíwêÜ1ô©áàâ4áÞô½áöâ4á»á<ö1Þ íwêÜ1êíwã âï Ý"öâêô½Ýßê+Þ ¨wÝãÞßÜáô½ò1ÞÝâä Þ2ª+îDêÜOÞÜáãâïïèäl} ~ÇöOãô æOÜ1ÝÞßàá"âéãÜáädå-æ1âÜáãç1Ý%âéá<ãêÜxî1à<êlwOïÞí ¶ ¹lÝ%âÜuâïôêÃw Þ_ôêïÞòuÜ/æ1íwÞàãÝ%âéïïä æ1ô<ãÜ{ íwêÜ1êíwã âïôÝ"öâêô$}6vÜ_á<öâéá Ý%âôÞqá<ö1ÞíwêÜ1êíwã âéï
Ýê-ÞO¨wÝßãÞÜá<ôÈâàÞqôêïÞòWzêàiwäeô<êï¢-ãÜ{W¶ ¼¹ ô<Þßå/æ1ÞÜáãâïïèäjzêàÈãÜOÝà<Þâô<ãÜ{Vÿ }V~Çö1ÞlíqêÜ1êíwã âïÝ"öâéêôÈÞ ª+îâéÜ1ô<ãêÜ1ôÀâàÞáö1ÞßÜháàæ1Ü1Ý%â4áÞò â4áÀâ ÝÞßàáâãÜ êàò1ÞàÁÕÄ}^~ÇöOÞ®âÝßÝæ1à<âÝßäjêz)á<ö1ÞñíwêÜ1êíwã âï Ý"öâêô»âéî1î1à<êhª+ãíqâéá<ãêÜjÝâÜ1wDÞÅãÜ1ÝàÞ%âôÞòHw/ä Þô©áãíâéá<ãÜ{Åâéò1ò1ãá<ãêÜ1âï+Ýßê+Þ ¨wÝãÞßÜáô$}/½+ãÜ1ÝÞÇãèáHãôêlwOô<ÞàaÞßòAëOôÞÞ,¶  } ¹ ëá<öâéáHáöOÞ½ïêlâàãá<ö1í êzDá<ö1Þ íwêÜ1êíwã âïÝ"ö1êâôÇÝê-ÞO¨wÝãÞÜáôÊò1ÞßÝ%â%älàÞ$æ1ïâà<ïèäë+âîDêïèä-Ü1êíwã âïÞ ª-á<àâî êï â4áãêÜêzÓáöOÞñÝêíwî1æOá<Þò Ýê-ÞO¨wÝßãÞÜá<ô½ÝâÜ6w Þñæ1ô<ÞßòL}kvÜ á<ö1Þñô<î ÞÝßã âïÝ%âôÞñêzÓáö1Þñò1ÞßÝ%â%älÞßå-æ1âéáãêÜ´¶ l¹¸áö1ãô Þ ª-á<àâî êï â4áãêÜ ãôÇÞ2ªOâÝßá$}
jA Ç
È)ÙA%}4\~DO|-ÎÒM~DÓ~ Òhø Ñ O~DÀ
|+z~hÓ~ ) RÓ|/1}wÓ |-ø&~ ) % ~
°êàÅêá<ö1Þà6î1à<êw1ïÞßíqô âÜ_âî1î1àêª+ãíâéá<ÞïèäpÞ ª+î êÜ1ÞÜá<ã âï¸ò1ÞÝâ%äMêz áö1Þâw1ôêïæOá<Þ(éâïæ1ÞÀêz á<ö1Þ Ýê-ÞO¨wÝßãÞÜá<ô zêà)Õ» ® öâôDw ÞÞßÜ êlw1ô<Þßà>ÞòL}~Çö1ãôî1àêî Þàáä_ãôÈæOô<Þò á<êpÞôá<ãíqâéáÞâò1ò1ãèáãêÜâï íwêÜ1êíwã âï¸Ý"öâêôqÝßê+Þ ¨qÝßãÞßÜ/á<ô$}à ô<ôæ1íwÞ á<öâéáÀáöOÞíwêÜ1êíqãâïÝ"öâéêôwâî1î1ë àëêâÝ"ö ãôÀâî1î1ïãÞßò á<ê ë áë ö1Þ Ýê-ÞO¨wÝãÞÜáô ì Ø í&Æ âÜ æOÜ1ÝÞßàá"âéãÜáä å/æâéÜ/á<ãçÝâéáãêÜ îOà<êlw1ïÞí âÜ1ò á<öâéáw âàÞ Ýêíqî1æ+áÞò } ç 7 ì ØÇ í ~Çö1ÞßÜ âò1ò1ãèáãêÜâï)íqêÜOêíqãâï
Ý"ö1âêô Ýê-ÞO¨wÝãÞÜáô i % Ý â ´ Ü D w q Þ â 1 î O î < à h ê + ª ã q í é â á Þßò´wäeæ1ôãÜ{Öâ ç Æ ê î êïä-Ü1êíwã âéïÞ ª-áà<âî êï âéá<ãêÜsáöOà<êæ{ö_áö1Þqïêlâà<ãèáö1í êz áö1ä Þjâw1ô<êïæOá<Þ(éâïæ1Þêzáö1ÞqÝêíwî1æOá<Þò »
>?h>)M l6??aOa> a ë ë Ýê-ÞO¨wÝßãÞÜá<ô ì ïêl Ø í Æ }^»Ü ÞO¨wÝãÞÜá² â%äjá<êÀÝêÜ1ô©áàæ1ÝßáÇá<ö1ÞÅîDêïèä-Ü1êíwã âïÞ ª-á<àâî êï â4áãêÜjãôá<ê ç æ1ô' Þ Óâà<âÜ{Þñî êïèä+ÜO ê íqä ãâïôMã¢ÞÜHwäÉÈ È ¶ ¹ká
Æ ÷ È
Êãá<ö
æ
Æ
åæ
Ç ¶ ¹2Ú
ç
æ
¶ ® ¹
÷
æ
ä
Ç ¶ ¹kádïêl Ø Ê ËUÆÌ Í ÷ ñýÿ ó ÷ ËcÌ Î 5 ò ñýÿ È
¶ ¹ ë
~Çö1Þ6âî1î1àêhªOãíâ4áãêÜjêz
âò1ò1ãèáãêÜâïíwêÜ1êíqãâïÝ"öâêô½Ýê-ÞO¨wÝãÞÜáô Ø Ç ã ô á<ö1ÞÜHãÞÜHwä ïê Ø Ç
ë
á
¶ ¹ Ú
Æ ÷
÷
áýÕ,Ö
ÚÕ,Ö#8Ú$óhóhó ó
¶l¹
³ æ1Þ®á<êjáö1Þ6çë Ü1ãá<ÞâÝßÝæ1à<âÝßä êzáö1ÞÞ2ª-áàâéîDêïâéáãêÜAëáö1Þ®ô<ÞàãÞßôñêz¸âò1ò1ãèáãêÜâïÓíwêÜ1êíwã âïÓÝ"öâéêô Ýê-ÞO¨wÝßãÞÜá<ô Ø Ç öâôÇá<ê(w Þáàæ1Ü1ÝâéáÞßòâéá½âÝÞßàáâãÜ á Õ Ç áêÀíqâ
ÞÅô<æOà<Þñáöâ4á½á<ö1ÞñÞ ª-á<àâî êï â4áãêÜ ÷ Þàà<êà ò1ê+ÞßôñÜ1êáñòOêíqãÜâéá<Þ6áöOÞâî1î1àêhªOãíâ4áãêÜQÊãá<öáö1ÞÀâéò1ò1ãá<ãêÜ1âïÓîDêïèä-Ü1êíwã âïÓêàò1Þàô$}3~Çö1Þ Ç ñ Õ ¹HÝâÜwãÜ1Ýßà<Þ%âéô<ÞbÊãáöFÕqò1æ1ÞÊáêÅáö1ÞÊãÜ1ÝàÞ%âôãÜ{ êà<òOÞàHêz Ü/æ1í w ÞàHêzAâò1ò1ãèáãêÜâïOÝßê+Þ ¨wÝãÞßÜáô)¶ ÕZ áöOÞ½î êïèä+ÜOêíqãâï-Þ ª-áà<âîDêï âéá<ãêÜ ÊãèáöFÕÄ}<¾MÞÊêlw1ôÞà>ÞòzêàHâFéâàãÞ áäêzDî1à<êlwOïÞíwôáö1âéáHÝ"ö1ê-êô<ãÜ{ Ç ñ´Õ ¹½Þå/æâï
á<êáöOÞÜ-æOí wDÞßàêz¸Ýê-ÞO¨wÝßãÞÜá<ôñæ1ô<Þßòsá<ê áöOÞÈÜ/æ1í w Þàñêz¸âòOò1ãá<ãêÜâéïÝßê+Þ ¨wÝãÞßÜáôY¶ Õ ÝêÜ1ôá<à<æ1Ý áwá<ö1ÞlÞ ª-á<àâî êï â4áãêÜIÕzà<ÞÈ ôæ1ïá<ôãÜ âÜ âéÝÝæOàâéá<ÞÞ2ª-áàâéîDêïâéáãêÜL}j~Çö1ãôà<Þôæ1ïá<ôãÜhá<ö1Þ âò1òOãáãêÜâïDíqêÜ1êíwã âïÝ"öâêô»Ýßê+Þ ¨qÝßãÞßÜ/á<ô ë Ø Ç áxÞ2ªOîc¶ ¶ ¹>¹ Ú á¯Õ Ö ÚÕ5Ö#8Ú$óhóhó$Ú ÕÄÚ ¶  ¹ ÷ Æ ÷ ë Êö1Þßà<Þñáö1ÞñÝßêà<àÞÝ áÊô<ãÜlÝ%âÜ1w Þñò1Þßá<Þà<íwãÜOÞòlæ1ôãÜ{Èá<ö1Þñô<ãÜ1ôÇêzÓáöOÞñÝêíwî1æOá<Þò Ýê-ÞO¨wÝãÞÜáôbØ } ~Çö1Þ Þ ª-áà<âî êï âéá<Þò íwêÜ1êíwã âïÝ"öâéêô»Þ2ª+îâÜ1ôãêÜãô á<ö1ÞÜHãÞÜHwä Ø<¶(!ÚÛ>¹ká
åë
Æ
ë
Ø ¶(!e¹
è)ë
¶é*¶!Ül¹>¹LÖ ë å
ë
5Æ
Ø Ç ¶ !e¹
è)ë ¶é ¶?ܹ¹ Ú
¶» ¹
ç 7 ç Æ ë ë ë ë ä Êö1Þßà<Þ ì Ø í&Æ âà<Þá<ö1ÞÅÝêíwî1æOá<ÞòíqêÜ1êíwã âïÝ"öâêô»Ýßê+Þ ¨qÝßãÞßÜ/á<ôÊæ1îá<êÀêà<ò1Þßà^Õ âéÜ1ò ìØ Ç í 5 Æ ç 7 ç Æ ë âàÞsá<ö1ÞeÞ ª-áà<âîDêï âéá<ÞòdÝê-ÞO¨wÝãÞÜáôHãÞÜTw/äж?  ¹2} ~Çö1ÞMÝêíwî1æOáâéáãêÜâïºêà
gãÜ êïÞòo ãÜ ä áöOÞ»Þ2ª+á<àâî êïâéáãêÜãô¸Ü1Þ$ïããw1ïÞÝêíqîâéà<ÞòÀáê6ô<êï¢-ãÜ{FzêàáöOÞ»íwêÜ1êíwã âéïOÝ"öâêô=Ýßê+Þ ¨qÝßãÞßÜ/á<ôAØ } îBª-áàâéîDêïâéáÞßòÝê-ÞO¨wÝãÞÜáôHÝâÜwâïôêFwDÞÇæ1ôÞòwãÜÀâñôá<êîÀÝàãáÞßà<ãêÜãá<Þàâ4áãêÜ®êàHâÜÀÞßà<à<êàÞô©áãíqâéá<Þ ë ë zêà á<ö1ÞÅêà<ããÜâéïDíwêÜ1êíwã âéïDÝ"öâéêô$} vܯ°)ãæ1àÞ ¥ á<ö1ÞjíwêÜ1êíwã âïÝ"ö1âêôÝê-ÞO¨wÝßãÞÜá<ô ì Ø &í Æ Êãá<öIÕ#á pâÜOòháö1Þjî êïèä+ÜOêíqãâï ç 7 Þ ª-á<àâî êï â4áãêÜYzêàBÕá âéÜ1ò Õ6á«»Àâà<ÞãÞßÜL}^váÇÝâÜ1wDÞôÞÞßÜá<öâéá á<ö1ÞÝê-ÞO¨wÝßãÞÜá<ôbzêàBs Õ ® ÝêÜCÞà>ÞÀâî1î1àêhªOãíâ4áÞïèä Þ ª+î êÜ1ÞÜá<ã âïïäÖâÜ1ò á<öâéáá<ö1ÞÈî êïä-Ü1êíqãâï âî1îOà<êhë ª+ãíq é â á ã ê Q Ü z ê M à I Õ áл ë à<Þßô<æ1ïèáôÈãÜhâÝßÝæ1à<âéáÞjâî1î1àêª+ãíâéá<ãêÜOôizêà6áöOÞlâò1ò1ãèáãêÜâïÝßê+Þ ¨qÝßãÞßÜ/á<ô ì Ø Ç Oí Ï }Qvܯ°
ãæ1à<Ð Þ ç áöOÞñô<êïæOáãêÜzêà á<ö1Þñæ1Ü1ÝßÞàáâãÜáäò1ãô©áà<ãw1æOá<ãêÜjêzá<ö1ÞÅíqêÜ1êíwã âïÝ"öâêôÊâÜ1òláö1ÞñÞ2ª-áàâéîDêïâéáÞßò íwêÜ1êíwã âï)Ý"öâêô6ô<ö1êÊÜWzêà®â æ1Ü1ã¢zêà<í âÜOò_ïêÜ1êàíâï)ò1ãô©áàãw1æOá<ãêÜVzêàÅáöOÞ(-ãôÝêôãá$ ä "k¶!Ül¹ } J¥
>?h>)M l6??aOa> a
0
0
10
10
computed coefficient extrapolated coefficient
−1
−1
10
−2
coefficient |up|
coefficient |up|
10
p=2
10
−3
−2
10
p=4 −3
10
10
−4
10
computed coefficient extrapolated coefficient
−4
0
2
4 6 polynomial order p
8
10
10
? h?¸&A ÏÀO7y /GÑP
0
2
4 6 polynomial order p
8
10
LhSAOP2?P 7yO/GY
* ,+J- ³R:0/F 4 J' 3 P o5U8 O®:5 hÒ:5 Pa$¸®-MX A ?³ G3 D4J8 ³A O,h9 JA 3 Ï2 h SA OP2?P y7 2 GÁ3 P GѲS7{8JkTh?¸&A Ï?³3AOJS3'Ï2}5U82Oo7yO48JkJOJÀPJ2cO D5_?P O; ,<-!P ³AJSJPT3°¡ÄÀ8iB-J7yO3 Ï?6O- ÀO³y7 L8 ^$Ï4:5 O?À( 9
1
0.8 probability distribution Fu(u)
0.8 probability distribution Fu(u)
1
exact MCh EMCh
0.6 0.4 0.2
exact MCh EMCh
0.6 0.4 0.2
0 0.54
0 0.5
p=4
0.56
0.58
0.6
velocity u
0.62
0.64
0.66
i7yO[-JJ,7y 43ýÏ?6O-ÀO&7gE
p=4
0.55
0.6
velocity u
0.65
0.7
7y ÄPS+OJ 43²2 Ï?6O-ÀO&7gE
* ,+J- ÓO0Ôf8 ' 4 3 JA 3 Ï2g5U8 2$ 8
c 2)T$ SA OP2?/3'OJS3'Ï2}5U8 O §i8
c&AOA?c63'2?P Z&7{8J AJSSJPÀÀ(9MÏ?6O-ÀO)7-JM5:?P '&7l8Ä aP:5:À(9®\ g7y ¬/G]k³G]M=5:S3)A ?/?Á8ÄJS5: !O,-ÀO 7y L4J8 ^JOJÀPJ2 J :5 ?P :7; ,<=- !P /JA ?J PT 3
>?h>)M l6??aOa> a ~Çö1Þ»à<Þôæ1ïá<ô/zêàÄÕá«»®âà<Þ»ÝêíwîâàÞòÀáê6á<ö1Þ àÞOzÞßà<ÞÜOÝÞôêïæOá<ãêÜ }B~Çö1Þ»Þ ª-áà<âîDêï âéá<ÞòwíqêÜOêíqãâï Ý"öâêô®à<Þßô<æ1ïèáô6ãÜsáö1ãô6Ýâô<ÞqãÜhâíqêà<ÞwâÝÝßæ1àâ4áÞôêïæ+áãêÜMò1æOÞqáêáö1Þâò1ò1ãèáãêÜâïî êïèä+ÜOêíqãâï Ý"öâêô½êà<ò1Þßà½êz)á<ö1Þ âî1î1àêª+ãíâéá<ãêÜ } ~ÇöOÞãÜ1ÝàÞ%âôÞlãÜ âÝßÝæ1à<âÝßähÝêíwîâàÞò áêpáöOÞlíqêÜOêíqãâïHÝ"öâêôÀãôÈå/æâÜáãèçÞòzãÜ âÜ Þßà<à<êà ÝêÜCÞà>ÞÜ1ÝßÞ_ô©áæ1òOäëñô<ÞßÞW°
ãæ1àÞô6»â âÜ1ò »lw }R~ÇöOÞeÞßà<àêà ÝêÜ ÞßàÞßÜ1ÝÞ_âô6zæ1Ü1Ý áãêÜdêz6á<ö1Þ î êïä-Ü1êíwã âéïéêàò1Þà{Õ6ãô ôö1êÊÜ®ãÜi°
ãæOà<Þ^»â4}~Çö1Þ¸íwêÜ1êíwã âï&Ý"öâéêô)àÞôæ1ïá<ôãÜÅâÜ6âî1î1àêª+ãíâéá<ãêÜ Êãá<ösâjîDêïä-Ü1êíwã âïÓÝ"öâéêôñêà<òOÞàêzÕÄ}i~Çö1ÞÀÞ2ª+á<àâî êïâéáÞßòíqêÜ1êíwã âïÓÝ"öâêôñÞ ª-áà<âîDêï âéá<Þô á<ö1Þ íwêÜ1êíwã âï+Ýê-ÞO¨wÝãÞÜáô¸æ1îwáê6â î êïä-Ü1êíqãâïOÝ"öâéêô=êà<ò1Þßà¸êz ÕÄ}B ô=â ÝßêÜ1ô<Þßå/æ1ÞÜ1ÝßÞëOá<ö1Þ½à<Þôæ1ïá<ô êz=áö1ÞwÞ ª-áà<âî êï âéá<ÞòeíqêÜ1êíwã âïÝ"öâêôizêà²ÕNá Êãáö á ® Ú Úhóhóhó ÚÕ_âà<ÞwâîOî1à<êhª+ãíqâéáÞßïäâô ÷ ÷ âÝßÝæ1à<âéáÞßïäpâéô áö1ÞàÞôæ1ïá<ôêzHáö1ÞíwêÜ1êíqãâï Ý"öâêôFzêàMÕjáú }5~ÇöOÞà<Þ zêà<ÞéëAáö1ÞÞ2ª-áàâéîDêïâéáÞßò ÷ íwêÜ1êíwã âïDÝ"öâêô½à<Þßå/æ1ãàÞôÊáö1ÞÅÝêíqî1æ+á"âéá<ãêÜ êz
öâïz)êz)áö1Þ Ü/æ1í w ÞàÊêzÝßê+Þ ¨wÝãÞßÜáô Ýßêíwîâà<Þßò áêMáö1ÞíwêÜ1êíqãâïÇÝ"öâêôqáêhàÞ%âÝ"ödâ_ÝßÞàáâãÜ âÝÝßæ1àâÝ äl}ü°æ1àá<ö1Þàíqêà<Þë á<ö1ÞÝßêÜ Þà>ÞÜOÝÞsêz áöOÞÞ2ª-áàâéîDêïâéáÞßò íqêÜ1êíwã âï¸Ý"öâêôDzêà6áö1Þ ôáâéáãôá<ãÝ%âéïíwêíqÞßÜáôãôôíqê-êá<ö1Þà®á<öâÜ×zêàÈá<ö1Þ íwêÜ1êíwã âïÇÝ"ö1âêô$} °êà3Õüá ® áöOÞà<Þßô<æ1ïèáôlêzñá<ö1ÞíwêÜ1êíwã âïÇÝ"ö1âêôlâÜOò áö1ÞÞ2ª-áàâéîDêïâéáÞßò íwêÜ1êíwã âïÇÝ"ö1âêôlâàÞãòOÞÜáãÝ%âïRë ô<ãÜ1ÝÞIzêà5Õüá ® Ü1ê_Þ ª-áà<âîDêï âéá<ãêÜXãôÞßíqîOïêäÞßòL}â ïô<êhãÜ áÞßà<íwô®êzÇá<ö1ÞjÞßà<à<êà®ÝêÜCÞà>ÞÜ1ÝßÞ ãÜ_á<Þà<íwô®êzÇáö1ÞjÝßêíwî1æOá"â4áãêÜâï^êà
ëô<ÞßÞ6°
ãæ1à<ÞY»lwAë
á<ö1Þ Þ ª-á<àâî êï â4áÞò6íqêÜ1êíwã âïÝ"ö1âêô
ÝßêÜ ÞßàÞßôHâºz âÝ áêàÓá_êZz âôá<Þà)á<öâÜ áö1Þ=íqêÜOêíqãâïÝ"öâéêôëôãÜ1ÝßÞ áöOÞ Ýßêíwî1æOá"â4áãêÜâïe=êà>
zêà áöOÞ Þ2ª-áàâéîDêïâéáãêÜlãôÇÜOÞ$ïããw1ïÞ}
jAkj
u ~ Ò)O}é ~ XØqÒ Ñ
~ Ñ |-}Ò_| Ñ ~ )
vÜlá<ö1ãôÇôÞÝßá<ãêÜjá<ö1ÞÅà<Þßô<æ1ïèáôÇêzÓáöOÞñÞ ª-áà<âîDêï âéá<ÞòlíwêÜ1êíwã âïÝ"öâéêô½âî1î1àêâÝ"öâà<ÞñÝßêíwîâà<Þßò áêwáö1Þ6îDÞßàá<æ1àwâ4áãêÜ íwÞßáöOê+òAëá<ö1ÞD¬ÅâïÞßà
/ãÜî êïä-Ü1êíwã âéïAÝ"öâêô íqÞ áö1ê-òâÜOòâqÜOêÜ8xãÜáà<æOô<ãÞ î êïä-Ü1êíwã âéï1Ý"öâêô=íqÞ áö1ê-òwãÜjâéÜÞàà<êà¸ÝêÜCÞà>ÞÜ1ÝßÞñôá<æ1òOäXÊãá<öà<Þßô<î ÞÝ á áê6îDêïèä-Ü1êíwã âï+êà<ò1Þßà âÜ1ò®Ýêíwî1æOáâéáãêÜâïl=êà
izêàÓáö1Þ=Ü1êÜ1ïãÜ1Þâà)âò4ÞßÝßá<ãêÜ8xò1ã¦Dæ1ôãêÜ î1à<êw1ïÞßíQ}cváãô)ò1ÞßíqêÜ1ôá<àâéá<Þò áö1âéáÀáö1ÞÞ ª-áà<âî êï âéá<ÞòzíqêÜ1êíwã âï=Ý"öâêôwà<Þßô<æ1ïèáôwãÜXâjz âÝ áêà  áê´»MöOãö1ÞßàÀÝêíwî1æOáâéáãêÜâï ÞO¨wÝßãÞÜOÝßäláö1âÜÖêéáö1ÞßàÇîDêïèä-Ü1êíwã âï Ý"öâêô½íwÞßáöOê+ò1ôO}
jAkj m
Ë|/}&: }&÷O&~D#Ò_| Ñ ~A
v ÜN°
ãæOà<Þô3»âÖâÜ1òN»lw_âïôêÖá<ö1ÞàÞô<æOïáô3zêàÅáö1ÞqîDÞßàáæOàwâéá<ãêÜMíqÞ áö1ê-òzêà á<ö1ÞïêJ êà<ò1Þßà âî1îOà<êhª+ãíqâéáãêÜ1ôñêz=íqÞâÜMâÜ1òMá<ö1ÞDéâà<ãâÜ1ÝÞwâàÞXãÞÜL}Y~Çö1ÞqÞ2ª-áàâéîDêïâéáÞßòMíwêÜ1êíqãâï
Ý"öâéêô à<Þßô<æ1ïèáôãÜdíqêà<ÞeâÝÝßæ1àâ4áÞsçà<ô©áâÜOòoô<ÞßÝêÜOòuêà<òOÞàâî1î1àêhªOãíâ4áãêÜ1ôlêz®á<ö1ÞeíqÞâÜoâéÜ1òxá<ö1Þ éâà<ãâÜ1ÝßÞ¸á<ö1ÞÜ áö1Þ=îDÞßàáæOàwâéá<ãêÜ íwÞßáöOê+òAë4ô<ÞßÞ'°
ãæ1àÞ/»â8}wâéáãêÜsíqÞ áö1ê-òeîDÞßà î êïèä+ÜOêíqãâï êàò1ÞàßëOô<ÞßÞF°
ãæ1à<Þº»lwL}^»ò1ò1ãèáãêÜâïâò4éâÜáâÞôêzAáöOÞÞ ª-áà<âî êï âéá<ÞòqíqêÜOêíqãâïÝ"öâêôÇâà<Þ½áöâ4á ãáà<Þôæ1ïá<ôHãÜÀö1ãö1Þàêàò1Þà¸âîOî1à<êhª+ãíqâéáãêÜ1ô)êzDá<ö1ÞÊôá<ê+Ý"öâéôáãÝ%âïíwêíwÞÜáôHâéÜ1òáö1ÞÊò1ãôáàãw1æ+áãêÜ zæ1Ü1Ý áãêÜL}
¼
>?h>)M l6??aOa> a
jAkj Ç
¯ |/}ÔAR°~ Ò×ÓÓ~eÒ_ =ø Ñ 1~ (Ò_| Ñ ~A
v Ü °)ãæ1àÞôY»ÝpâÜ1ò»ò áö1ÞÞßà<àêàÝßêÜ Þà>ÞÜOÝÞeêzñáö1Þ Þ ª-áà<âîDêï âéá<Þò íwêÜ1êíwã âéïÇÝ"öâêôlãô Ýêíqîâéà<Þòqáê®á<ö1Þà<Þßô<æ1ïèáô=êz áö1ÞF¬ âïÞà>
-ãÜqî êïèä+ÜOêíqãâïÝ"öâêô íqÞ áö1ê-òjãÜqáÞßà<íwôêzÓî êïèä+ÜOêíqãâï êàò1ÞàÇâéÜ1òlÝêíwî1æOáâéáãêÜâï =êà
*}^váÇÝâÜ6w Þô<ÞßÞÜláöâ4á áö1Þâî1î1àêª+ãíâéá<ãêÜwêz á<ö1Þò1ãôáàãw1æ+áãêÜ zæ1Ü1Ý áãêÜzêàá<ö1ÞÞ2ª+á<àâî êïâéáÞßòjíqêÜ1êíwã âïÝ"öâéêôÇãô=ãÜá<ö1ãô=Ý%âôÞñíqêàÞâÝßÝæ1à<âéáÞÅâéôAzæ1Ü1Ý áãêÜjêz áöOÞ¸î êïèä+ÜOêíqãâïêà<ò1ÞßàAáö1ÞßÜ5zêàAá<ö1Þ/¬ âïÞà>
-ãÜÅîDêïèä-Ü1êíwã âï4Ý"öâêôíwÞßáöOê+òAëÊö1ãÝ"ö6ãôâÊôãÜOãçÝâÜá à<Þßô<æ1ïèáh}vÜS°
ãæOà<Þ,»òãá»ãô»ô<ö1êÊÜáö1âéááöOÞ®Þ ª-á<àâî êï â4áÞò íqêÜOêíqãâï Ý"öâêôÝêÜ ÞàÞôñãÜÖáö1ãô Ý%âéô<Þ íqêà<Þjáö1âܯ»sá<ãíwÞô,z âéôáÞßàáöâÜ á<ö1ÞH¬ âéïÞà>
/ãÜ î êïä-Ü1êíwã âéï=Ý"öâéêôÀíqÞ áö1ê-ò ò1æ1Þláêpá<ö1Þ Ýêæ1î1ïÞßòÖô©ä-ôáÞßí êz)Þå/æâéá<ãêÜ1ôÊàÞô<æOïáãÜ{Dzà<êí áö1Þ5¬ÅâïÞßà
/ãÜlî êïèä+ÜOêíqãâï Ý"öâêôÊíwÞßáöOê+òL}
jAkj kj
o ~ D}M ) |±~ Ò×ÓÓ~eÒ_ ¸ø Ñ 1~ (Ò_| Ñ ~
~ÇöOÞ Þàà<êà¸ÝêÜCÞà>ÞÜ1ÝßÞêzDáö1Þ»Þ ª-áà<âîDêï âéá<ÞòwíqêÜOêíqãâïOÝ"ö1âêô âéÜ1òqá<ö1Þ»ÜOêÜ8xãÜáà<æOô<ãÞ»î êïèäCx Ü1êíwã âéïÝ"ö1âêôãô)ã¢ÞÜpãÜS°
ãæ1àÞô)»ÞâÜ1òS»z:}~Çö1ÞÈÞ2ª+á<àâî êïâéáÞßòíqêÜ1êíwã âï Ý"öâéêôà<Þßô<æ1ïèáôãÜ âlïê=ÞàÅÞàà<êàá<öâÜpáö1ÞÀÜ1êÜ8xãÜ/á<à<æ1ôãÞwî êïèä+ÜOêíqãâïÓÝ"öâêô ãÜá<ÞàíqôÅêz¸áö1Þî êïèä+ÜOêíqãâïêà<ò1Þßà zêàÊáö1Þ6íqÞâÜAëáö1Þ3éâà<ãâÜ1ÝÞ6âÜ1òÖáö1Þ6ò1ãô©áà<ãw1æOá<ãêÜ6zæ1Ü1Ý áãêÜL}bvÜ áÞßà<íwô êz
áö1Þ6Ýêíwî1æOáâéáãêÜâï =êà
áö1ÞíwêÜ1êíwã âéï Ý"öâêôñÝßêÜ Þà>ÞôÅãÜáö1ãôÝ%âôÞÀâz âÝßá<êà  z âéôáÞßàáöâéÜáö1ÞÈÜOêÜ8xãÜáà<æOô<ãÞ î êïä-Ü1êíwã âéïDÝ"öâéêô$} váÈÝ%âÜ×w ÞlÝêÜOÝïæOò1Þòhá<öâéáÞ2ª+á<àâî êïâéáãêÜ_êz½âéò1ò1ãá<ãêÜ1âïHÝê-ÞO¨wÝãÞÜáôãÜháö1ÞjÞ2ª-áàâéîDêïâéáÞßò íwêÜ1êíwã âïÓÝ"öâéêôÅà<Þôæ1ïá<ôÅãÜsâz âÝßá<êà3jö1ãö1ÞàÝßêÜ ÞßàÞßÜ1ÝÞqàâéá<ÞÈáöâÜsáöOÞíqêÜOêíqãâïÝ"öâêôO} ìêíwîâàÞòÖá<êêá<ö1Þà»îDêïä-Ü1êíwã âïÝ"öâêô»íqÞ áö1ê-ò1ôëáöOÞ6Þ2ª+á<àâî êïâéáÞßò íwêÜ1êíwã âïÝ"öâêô»à<Þôæ1ïá<ô ãÜlá<ö1ãôÇÝâô<Þ ãÜ âDz âÝßá<êà  áêX»wö1ãöOÞàÇÞO¨wÝßãÞÜOÝßäl}
uXr(oVu Ê t nJr(o
íwêÜ1êíqãâï+Ý"ö1âêôHâî1îOà<êâÝ"öwãô
î1à<Þßô<ÞÜá<Þòzêà
ÞO¨wÝãÞÜá¸æ1Ü1ÝÞßàáâãÜáäå/æâÜá<ãçÝâéáãêÜÀãÜÜ1êÜ x g ïãÜ1Þ%âéàÝêíwî1æOáâéáãêÜâï-î1àêlw1ïÞßíqôHâéôÞÜ1Ýßêæ1ÜáÞßà<ÞòYzêàÞ ªOâíwî1ïÞÇãÜÀÝêíwî1æOáâéáãêÜâï/ðæ1ãòÀòOä-ÜâíDx ãÝßô$}
õHàêîââéáãÜ{ æ1ÜOÝÞà©á"âãÜáä6á<ö1à<êæ4öÈÜ1êÜOïãÜOÞ%âàÞå/æâéá<ãêÜOôÝ%âÜ,wDÞ Ýßêíwî1æOá"â4áãêÜâï/ãÜáÞßÜ1ô<ã¢Þéë ô<ãÜ1ÝÞãèáæ1ôæâïïäÖà<Þôæ1ïá<ôñãÜpâjôÞßá êzHÜ1êÜ1ïãÜ1Þ%âà»Þå/æâéá<ãêÜOôÊö1ãÝ"ösãô Ýêæ1îOïÞòSzêà áö1Þ(¬ÅâïÞà
/ãÜ î êïä-Ü1êíwã âéï-Ý"ö1âêôíwÞßáöOê+òL}<~Çö1ÞÊî1à<êîDêôÞòÀíwêÜ1êíwã âïÝ"ö1âêô¸âî1î1àêâÝ"öÞßíqî1ïêä+ôHâî êïèä+ÜOêíqãâï Ý"öâêôÞ ª+îâéÜ1ô<ãêÜÊãá<öqíwêÜ1êíqãâïôâéô/wâéô<ãôkzæ1Ü1Ý áãêÜ1ô$}^~ÇöOÞ Þ ª+îâéÜ1ô<ãêÜÝßê+Þ ¨qÝßãÞßÜ/á<ôÇâàÞ»ôêïÞò zêàæ1ô<ãÜ{ãíqî1ïãÝßãá ò1㢦Þßà<ÞßÜ/á<ã âéá<ãêÜ êzá<ö1ÞAêÞà<ÜOãÜ{ñÞßå-æ1âéáãêÜ1ô$}<~Çö1ãô)à<Þßô<æ1ïèáô
ãÜâ "ü ®ô<Þ á êzZ¡þÒý <ÿ jÞå/æâ4áãêÜ1ôÅÞOÞßÜzêàÅÜ1êÜ1ïãÜ1Þ%âà î1à<êlwOïÞíwôëLÊöOãÝ"ö_àÞò1æOÝÞôÅáöOÞwÝßêíwî1æOá"â4áãêÜâïB=êà
î Þà½âò1ò1ãèáãêÜâï îDêïä-Ü1êíwã âï Ý"öâêô»êàò1Þà á<êwá<ö1ÞÅÞå/æ1ã¢âéïÞÜOÝÞÅêz)êÜ1ÞiÅ»Þ ÇáêÜÖãá<Þàâ4áãêÜL} zÝêíqîâéà<ãôêÜizêàâ½Ü1êÜ1ïãÜ1Þ%âàâò8ÞÝ áãêÜ8xòOã¦Dæ1ô<ãêÜÅî1à<êlwOïÞíóòOÞíwêÜ1ôá<àâéá<Þò áöâéááöOÞ=íwêÜ1êx íwã âï Ý"öâéêôãô»Ýêíwî1æOáâéáãêÜâïïäjâô)z âô©áñâô½áö1ÞÈî Þà©áæ1à>wâéá<ãêÜÖíqÞ áö1ê-òL})~ÇöOÞÈíqêÜ1êíwã âï Ý"öâéêô öâôá<ö1Þ½âò1ò1ãèáãêÜâï+âò4éâÜá"âÞôá<öâéáHãáà<Þ%âéò1ãïèä®Þ2ª+á<ÞÜ1òOôHá<êiwDêá<öÀö1ãöOÞàêàò1ÞàHâéî1î1à<êhª+ãíqâéá<ãêÜ1ô âÜ1òâÜjâéî1î1à<êhª+ãíqâéá<ãêÜÀêzAá<ö1Þ æOÜ1ÝÞßàá"âéãÜáäwò1ãô©áà<ãw1æOá<ãêÜDzæ1Ü1Ý áãêÜL}ÁváöâôMwDÞßÞÜjò1ÞßíqêÜ1ôá<àâéá<Þò áö1âéá áö1ÞHíwêÜ1êíwã âéïéÝ"öâéêô
âéÝ"ö1ãÞ Þô)âºJx  á<ãíwÞôAö1ãö1Þßà ÞO¨wÝãÞÜ1Ý äñáöâÜ êá<ö1ÞàÓî êïä-Ü1êíwã âéïéÝ"öâéêô íwÞßáöOê+ò1ôO}^~Çö1ÞôÞ6àÞôæ1ïá<ôÇò1Þî ÞÜ1òêÜláöOÞñÜ-æOí wDÞßàÇêzBÅ»ÞOÇá<êÜãáÞßàâéá<ãêÜOôà<Þßå/æ1ãàÞò6zêàÊâÈò1Þ áÞà:x
>?h>)M l6??aOa> a íwãÜ1ãôáãÝÊô<êï¢Þ}^»ò1ò1ãèáãêÜâïíqêÜ1êíwã âïÝ"öâéêô Ýê-ÞO¨wÝßãÞÜá<ôÇÝ%âÜ6w Þ Þßôáãíâ4áÞòw/äqÞ ª-á<àâî êï â4áãêÜ êzAá<ö1Þ Ýßêíwî1æOáÞßòÝßê+Þ ¨qÝßãÞßÜ/á<ô$}k~Çö1Þ»Þ ª-áà<âîDêï âéá<ÞòíwêÜ1êíqãâï1Ý"öâêôãô¸ò1ÞßíqêÜOôáà<âéáÞßòáê6à<Þßô<æ1ïèá ãÜqâ3zæOàáöOÞàãÜ1ÝàÞ%âôÞ êzáö1Þ½ÝêÜ ÞàÞÜ1ÝßÞñàâéá<ÞZwäqâ3z âÝ áêàA8}Á~ÇöOÞ íwêÜ1êíwã âïOÝ"öâêôâî1î1àêâÝ"ö öâôÇá<ê(w ÞFÞßà<ãç1Þò1zêàÇíqêà<Þñà<Þâïãôá<ãÝ á<Þôá½î1àêlw1ïÞíwôÊâÜ1òíÈæ1ïá<ãî1ïÞ æ1ÜOÝÞà©á"âãÜ îâàâéíqÞ áÞàô$} q ÈHÕ'È q È oju È6 ¡5î²}ìêïïãÜAëL½e}îáãÞßÜ1Ü1ÞéëB³ } õÞïïÞßá<ãÞßàëÖ4}[{êà>lââéà<òAëÄ»î1î1ïãÝ%âéá<ãêÜ êz â ô<ÞßÜ1ô<ãèáã¢+ãèáäÞßå-æ1âx áãêÜjíwÞßáöOê+òjá<êÀá<æ1àwOæ1ïÞßÜ/áÇð1êJÊô²Êãèáölö1ÞâéáÇáà<âÜ1ô>zÞßàë vÜáÞßà<Üâ4áãêÜâï Öêæ1à<ÜâéïAêzc~Çö1Þàíâéï ½+ÝãÞÜ1ÝßÞôß ë ×Hêï}4»»I¶? ®l® ¥ ¹ ë1î1î } ® »x ®l 8} ¡Ø3}P¬D} ¬ÅöâéÜ1Þíëõ<}e½+îâéÜ1êôëe½-á<ê+Ý"ö1âôá<ãÝÅçÜ1ãá<ÞÅÞïÞßíqÞßÜáô$ÆâqôîDÞßÝßáà<âïâî1î1àêâÝ"öAëe½+îOà<ãÜ4Þà:x ×HÞàï â1ë4Å»Þ · Ù¸êà
ë £l£ }  ¡,½e}^½êô<ò1Þßàë®Ø3}¤¾ }B¾_âïá<Þàôë Ø3}õ)ÞàÞ$§éëA Ü1êÜ xãÜá<à<æ1ôãÞlî êïèä+ÜOêíqãâïHÝ"öâêôÀíwÞßá<ö1ê+òNzêà æ1Ü1ÝßÞàáâãÜáäîOà<êîââéáãêÜãÜqì'°Á³\ô<ãíÈæ1ïâéáãêÜ1ôë)v_)bxa ®® x: £ ël»l»éáöX)v_Z«»Þàêô<îâéÝÞ ½+ÝãÞÜ1ÝßÞôZÖÞßÞßáãÜ{qâÜ1òQîÁª+ö1ãw1ãá ë ØÊÞÜ1ê1ë{Å»ÞOéâò1âOi ë ÖâÜL}*£x +ë{ ®l® 4} ﻡ^}'»æ+ä+ôÞë)°àÞÞ2x¸zêàí âãà>zêãïÊô<öâî ÞpêîOá<ãíwã§âéáãêÜXæOÜ1ò1ÞàlæOÜ1ÝÞßàá"âéãÜáägæ1ôãÜ{ íqâª+ãíÈæOÜ Þ ª+î ÞÝßá<Þò«âéïæ1ÞsâÜOòdôÞÝßêÜ1ò8xêà<ò1ÞßàÖôÞÝßêÜ1ò8xíqêíwÞÜá ô©áàâ4áÞ$ãÞôßë)~ÞÝ"öL}ÊàÞî êàáë)v©ìAF½8î ؽÞßîDêàáZ ®l®8 x ÚÅZ½8`) ì Ø ®l®8 xa ® ® ë8 ®®4 } ¥ ¡,} ñïÞßãw Þàßë4~F}À³ } »ãÞÜAë8~Çö1ÞÅôáê-Ý"öâô©áãÝÅç1Ü1ãá<ÞÞïÞíwÞÜáÊíqÞ áö1ê-òAëÖêö1Ü1¾\ãïÞ äjâéÜ1òQ½+êÜ1ôßë Å»Þ » Ù¸êà>
ë £l£ 8} Û¡,} êÞO Þëõà<êwâw1ãïãáäwáöOÞêà©äë{zêæ1à©áöÞòL}èë ½+î1àãÜ{Þàax4×HÞàï â1ë4Å»Þ »Ù¸êà>
ë £ ¼l¼8} ¼¡'Ö4}¤x_Å5} âö1ãÞæAë ½ }îÜ áãÞÜ1Ü1ÞéëC³ }õÞïïÞßá<ãÞßàë¬Ö4}={êàââàòAë ôÞÝßêÜ1ò8xêà<ò1Þßàô<ÞßÜ1ô<ãèáã-ãèáä®Þßå-æ1âx áãêÜÀíqÞ áö1ê-ò(zêà=ïâíqãÜâà
ð1êJÅë vÜáÞßà<Üâéá<ãêÜ1âïiÖêæ1àÜâïêzìêíwî1æOáâéáãêÜâï{°
ïæ1ãò(³ ä+Ü1âíXx ãÝßô\ ë ×Hêï?} £H¶ ®l® ¥ ¹Së »  x J¥ ¼ } ¤ ¡,¬X}v} ½+Ý"ö/æÞßÝ ïïÞßàë8îòL}ë8xô©á"âéá<Þ xêz x á<ö1Þ xâàáHàÞî êàá=êÜÝßêíwî1æOá"â4áãêÜâï1ô©áê-Ý"öâôá<ãݽíqÞßÝ"öâÜ1ãÝôßë õà<êlwL}{îHÜ4à{} ÞÝ"öL}è ë ×Hêï {¶ l £ £ ¼l¹Së{Žê{}{»1ëî1î } £ ¼Jx  } ¤£¡Ø3}¤¾ }4¾_âïá<Þàôë^} ½æOä-ô<Þë Ú½Ü1ÝÞßàá"âéãÜáä â Üâéïä-ô<ãô'zêàðæ1ãò íqÞßÝ"öâÜ1ãÝô²Êãá<ö âî1î1ïãÝ%â4áãêÜ1ôë ~)ÞßÝ"ö1Ü1ãÝ%âï àÞî êàá v©ìAF½4îÞؽÞßîDêà©á( ®l® Jx Æ(v©ìAF½8îbÆÁÅZF½ ßâéÜ{ïÞ ähØÊÞôÞ%âàÝ"ö ìÞßÜáÞàßë âíwîOá<êÜAëg×<®ë ®l® 8} ® ¡Ø3}¤¾ }<¾_âïèáÞàôë^~ê â àò1ôÀôá<ê+Ý"öâéôáãÝjðæ1ãò íqÞßÝ"öâÜ1ãÝô,-ã âî êïèä+ÜOêíqãâïHÝ"öâêô,xFvÜC-ãèáÞòë )v_Z õ)âî ÞàZ ®l®l x ® » h ë8Zv_) » ô©áb Þßà<êôîâÝÞ,½+ÝßãÞÜOÝÞô)ÖÞßÞßáãÜ{qâÜ1òHîBªOöOãw1ãèá%ëØÊÞÜ1êOë Å»Þ âéòâOë* ®®l } l ¡à }c¾hâÜëM¬X}Àî²}ª Åâà<ÜOã âòâ
-ãôëá{=ÞßäêÜ1òý¾\ãÞÜ1Þßàax¸ ô
éÞßä_Þ ª+îâÜ1ôãêÜOô$Æ6»âÜ1ò1ïãÜ{ âàw1ãèáà<âàä õk³F°
ô ë Ö4} ½-Ýã}ìêíqîOæOáh}èëõæ{w1ïãô<ö1Þßò êÜ1ïãÜ1ÞÆk³ÞßÝÞßí wDÞßຠ®l® ¥ } ¡5Å5}4¾\ãÞÜ1Þßàë ~Çö1Þ ö1êíwêlÞßÜ1Þêæ1ôÇÝ"öâêôßë* íwÞà$}Ö4} âéáö }ë×Hêï?} ® ¶ £  ¹ ë+î1îL}* l£ ¼x:£  8} £
>?h>)M l6??aOa> a  ¡'Ö4}À5}Ͻ }º¾\ãèá<áÞ ÞßÞÜAë55}{ãï|ï ëiÖê-ò1ÞßïãÜ4 âà>w1ãá<àâà©ä\æ1Ü1ÝßÞàáâãÜá<ãÞôÖæ1ô<ãÜ{¬ñàâéíXx:½+Ý"ö1íwãòOá îDêïä-Ü1êíwã âïÝ"öâéêôë Zv_)ºx: ®l® Jx: l £ +ë8»l»éáö6)v_Z Þàêô<î1âÝÞ5½+ÝßãÞÜOÝÞôZÖÞßÞßá<ãÜ{wâÜ1òHîBªCx ö1ãwOãá%\ ë ؽÞßÜ1ê1ë ŽÞOéâòâ+i ë ÖâÜL}*£x +ë ®l® 4} »¡5³ }}à ãæAë4¬D}Pî²} ÅâàÜ1ã âéòâ
/ãôßë8~Çö1Þ¾\ãÞÜ1Þßàax¸ ô
éÞßäîDêïèä-Ü1êíwã âïÝ"öâêôAzêàô©áê-Ý"öâô©áãÝñòOã¦DÞàax ÞÜáãâïAÞßå-æ1âéáãêÜ1ôë ½ v_FâÖ4} ½+Ýã?}ìêíwî1æOáh}èë×Hêï?} »*¶? ®l® ¹ ë{Žê{} +ë1îOîL} £xW»l»{} J¥ ¡5³ }àãæë ¬D}Àîb} Åâà<ÜOã âòâ
-ãôëeÖê-ò1ÞïãÜ{wæ1Ü1ÝßÞà©á"âãÜ/áäÖãÜðê`ô<ãíÈæ1ï â4áãêÜ1ô'-ã âYÞÜ1Þßàâïã§Þßò îDêïä-Ü1êíwã âï Ý"öâêôi ë Ö4} ìêíwîL}õöä-ô$}èi ë ×Hêï?} l¼{¶ ®®l ¹ ë+î1îL}  ¼Jx l¼8}
®
