¼|yuxzy:ö&i ¥dmdo:w:g yut ¾ycaliente/young-lnsce.pdf$+ , .-0/1 + 2 34 +...

$: ¼|yUxzy:ö&i ¥DmDo:w:g yUt ¾ycaliente/young-lnsce.pdf$+ , .-0/1 + 2 34 + 5"687&6:9=@?@A@BDCE687&6DF =@GIH J:?KBDLM6@N68OP QSRUTS?KBUVW68X 6DFWTSQYHZP[\B:J:?^]Z_`6Ua 6@b:;:c@?^[d;:?$
�� !��"��#��"�� %$&�$'�"��)(* $+��,��.-0/1�+��2�34��+��

5"687&6:9<;>=@?@A@BDCE687&6DF =@GIH�J:?KBDLM6@N�68O�P�QSRUTS?KBUVW68X�6DFWTSQYHZP�[\B:J:?^]Z_`6Ua�6@b:;:c@?^[d;:?

e+f>g h&ijglknmDoqp&ir�sUt�mvujw>xzyD{|yUh}i\~��jw@�Z��^��j��w@�vg�t��ng�w:�%��:�\�\��

�"�K�l�l�\�D��|� gl� glmj�`g r�sDfUt�¡�kn¡¢im�£�g�¤:¥D� ��kni�m�i¦}¤>gl¡�knom§� u:�l�ng4��k¨r�g©tmU¤��li�¡ª�`knm��fDg ¤:g �¡�knom1i¦&�li�r�r�gd£��lk¨t�«tk¬£�� £t\¦Y�WfUt�¡©¡�sUt\£�®�g�¤%t"£�g mDg ¯&g�¤%knmj��g £�gl¡ª� knm!¤>gl¡�knom!is>��knr�kn°�t��kni�mknm1tg £�iv¤vu>mDtr�kn�l¡lw^¡ª��£�¥D�d��¥>£�gl¡lw^t�mU¤1t�g £�ijgl�¨t¡ª��kn�l¡lyKe+fDg�� i�mD¡ª��£t�knmDg�¤�t�g £�iv¤:u:mDtr�kn��is>��k¬�r�kn°�t\��kni�mZs>£�i±D�nglr²kn¡³�l�ni¡�gl�¬u§£�gl�¨t��g�¤��iM��f>g s>£�i�±>�nglr²i¦«¡�i��n´vknmDo"mDimD�nknmDg�t\£©¡ªu:¡ª��glr�¡<i¦glµv¥Dt��kni�m>¡lyU¶·m§ts>sD�¬u:knmDoM¸`g ¯��i�m^¹ ¡¢r�g ��f>iv¤q��i�¡ª��g�t¤:uv�º¡ª�t��g4�lir�s>£�gl¡�¡�kn±D�ng|p+»z¼½tmDt�¬uv�¡�kn¡<s>£�i±D�nglr�¡lwv��fDg³mDi�m>�nk¨m>g�t�£¢gl�nknr�knmUt\��kïm�r�g ��f>iv¤qfDt¡<±8glglmq£�glr"t�£�®t±>�¬u"¡�¥D�l�lg ¡�¡ª¦S¥D�¾y>¶�m��f>kn¡©sUt�s8g £©¯+g|�li�m>¡�k¨¤>g £©��f>g�knr�sD�nkn��t\��kïmD¡©i�¦&��f>k¨¡³g ~:s8g £�knglmD�lgW¦Si�£ ¤>gl¡�knom!is>��knr�kn°�t��kni�m¦Yi£�r|¥D�¨t��kni�m>¡ k¨m%��fDgMoglmDgd£t�&�lt¡�g�i¦+¡ª�t��g�g�µj¥Ut\��kni�m1glµv¥Dt�nk¬��u%�limD¡ª��£tknmj��¡lyIe+fDkn¡4£�gl�¨t��knimD¡�fDknsZ±8g �·¯+glg mZmDi�m>�nk¨m>g�t�£`g�µj¥Ut\��kni�mZ¡�i��n´vknmDoqtmD¤Z¤>gl¡�knomZi�s>��knr�kn°�t\��kïmZkn¡³kn�n�¨¥>¡ª��£t��g�¤±ju¿¤:£tl¯<knmDo�imÀ�li�r�s>¥>�t\��kïmUt��³g ~>tr�s>�ngl¡�¦Y£�i�rÁ��f>g�e � �¢¸©�`¶ � � i�r�s>£�g ¡�¡�k¨±>�ng1p+»z¼� iv¤>g�yz�1gqÂ>£�¡ª�M¤:kn¡��l¥D¡�¡|´�t\£�kï¥D¡W¦Si£�r|¥D�¨t��knimD¡�i�¦<��fDg�xÃ¼4ÄÅ�li�m>¡ª��£tknmDg�¤�is>��knr�kn°�t��kni�ms:£�i�±>�¨g r'£�g �Æt\��g�¤��i§��fDg"�Çto£t�mDog�¸³gd¯��i�m�r�g ��f>iv¤1tmD¤1��fDg�r|¥D�¬��knsD�nkng £|¦Æ£�glgq´�g £�¡�kni�mknr�s>�¨g r�glmj�t��kni�mZknm%e � �¢¸©�¢¶ � y>�1g ��f>glm%¤>kn¡��l¥>¡�¡`��fDgWmDimD�nknmDg�t\£4gl�nknr�knmUt��knim%r�gd��fDiv¤t�mU¤Èk¬��¡�t�sDs>�¨kn��t\��kni�m¿��i1t!¡�knr�sD�ng�m>i�°l° �¨gZs:£�i�±>�¨g r§yÃe+fDkn¡"r�g ��fDiv¤�kn¡��fDglmÉts>sD�nkng�¤Ê��i¤:g £�kn´�g�´t�£�kni�¥>¡Wo�ni�±Ut��nk¨°lt��kni�mÊr�g ��fDiv¤:¡ k¨m�¤>gl¡�kno�m1i�s>��knr�kn°�t\��kïm�¯<fDkn�f�t�£�g"kn�n�¨¥>¡ª��£t��g�¤±ju%tq�li�r�s>¥>�t��knimUt�«g ~>t�r�sD�ng�knm�t�k¬£�¦Si�kn�&¤>gl¡�kno�m^yz»zknmDt�n�¬ujw^¯&g"¤>kn¡��l¥>¡�¡4¡�i�r�g�£�glr"t�knmDknmDo�nknr�k¬�t��kni�m>¡¢tmU¤�k¨¡�¡�¥>gl¡ly

Ë Ì>Í`ÎUÏ^Ð4ÑWÒ|ÓIÎ8Ô�Ð<Í

aÃ;8]@J�Õ:B³Ö\;>HZHZP�×lÖ\T¾JvQ©JvTS×lÖ\×lJjØ¾Ù�Jv× PÈ× ;:=8Ù TS?@P�QSÕÚ]8P�[TSA>?@P]Û=^[dTS?@AÜJÜÖ\;>H�Ý^TY?ÇJjÙdTS;>?Ú;vØV`;:HZÞ@=8ÙlJjÙ TY;>?^JvQ©_&QS=@T¾]Å5|ÕU?^JvHZT¾Ö�[�ßªV³_&5Mà�J:?^]Åá4TY?Ç]ÚÙ =@?@?@PQ Ù P[ÙdTS?@Aãâ ävåvæ�6³ç|?@Pc@T¾[�Ù ;:× TSÖJvQSQSÕ�[d=^Ö�Ö�P[ [�Øè=^QÃ]8P[dTSA:?!HZP\Ùdc^;U]1T¾[³Ùdc^P"=^[dP�;vØ+×dPÞÇP�ÙdTYÙdTSR:PMJv?ÇJvQSÕ8[T¾[³Jv?^]Çéj;:×á4TY?Ç]ÛÙd=@?@?^P�Q�ÙdP�[�Ù TY?ÂêÙd;Û]8P�R>P�QS;:Þ�P�?Â:TS?@P�P×dTS?@A¿=@?^]@P�×l[�ÙlJv?^]8TS?@A^6³ëW?ìJvQYÙdP×d?ÇJjÙdTSR>PTS[�Ùdc@P�TS?UR:P× [dP§]8P[dTSA:?ÀHZP\Ù c@;8]zBÃTS?Àá4c@T¾ÖlcÉÙ c@P%]8P�[TSA>?@P�×"[dÞÇP�Ö\TYí^P�["]8P[dTS× J:Ý@QSPqîÇ;jáØèPJjÙ =@× P[�B�TS?�HZ;>[Ù&Ö�J>[P�[}Ùdc@P©Þ@× P[ [=^×dP³]8T¾[�Ù ×dTSÝ@=8Ù TS;:?�;:?qÙdc@P©á4TS?@AM[=^×ØºJ>Ö\PvBvJ:?^]qJ>[ï8[Ùdc@P|V³_+5ìÖ�;8]8P³Ùd;"JjÙdÙdPHZÞ8Ù+Ùd;"Ö\;>HZÞ@=8Ù P`Ù c@P4A:P;:HZP�Ùd× Õ�á4c^TSÖlc�Þ@× ;8]8=^Ö\P�[�[=ÇÖlc�îÇ;jáØèPJjÙ =@× P[�6zð|[TS?@A�TS?UR:P× [dP"]8P�[TSA:?«B^Ùdc^P�H�J:?DÕ�Ö\=@Ùñ�Jv?^]Uñ�Ùd× Õ1TÆÙ P�×lJjÙ TY;>?^[4;:Ø<×dPÞÇP�ÙdTYÙdTSR:PJv?^J:QYÕ8[dT¾[¢Jv× PM×dPÞ@Q¾J:Ö�P]�ÝUÕ%J§[dÕ8[�Ù P�H�JjÙ T¾ÖWÖ\;>HZÞ@=8ÙlJjÙdTS;>?^JvQIÞ@× ;UÖ�P]8=^×dP:6

a©c@P�× P|J:×dP:BDc@;já³P�R>P�×BD[ÙdTSQSQIJq?U=@H�ÝIP�×³;vØ&]8× J�á4ÝÇJ:Ölï8[<;:Ø«Ùdc@P�TS?UR:P�×l[dPW]8P[dTSA:?%J:Þ8ñÞ@×d;DJ:ÖlcK6Da©c@P4í^×l[�Ù³;:?@PWTS[�Ùdc@P�]8TYòZÖ�=@QYÙ�Õ";vØKíÇ?^]8TS?@A!ólA>;U;U]^ôMÞ@×dP�[d[d=@× P ]8T¾[�Ù ×dTSÝ@=@ÙdTS;:?^[Øè;:×³c@TSA:c@QSÕ�Ùdc@× P�P�ñª]8TSHZP?^[TS;>?^JvQUî^;já [�6Dë�[dPÖ�;:?^]�]@TÆò�Ö�=@QYÙ�Õ�T¾[¢Ùdc@PMÖ\;>?^[T¾]8P× JvÙdTS;:?�;vØ;vGIñª]8P�[TSA>?�ÞIP�×dØè;:× H�Jv?ÇÖ\Pv6�a©c@P¢TS?UR:P× [dP<]8P�[TSA:?MHZP�Ùdc@;8]�T¾[«TS?@c^P�× P�?DÙdQSÕ|J|[TS?@A>QSP�ÞÇ;>TY?DÙ]8P[dTSA:?ÀÞ@× ;UÖ�P[ [\B&JvQYÙdc@;>=@A:c¿Ù c@P!]8P�[TSA>?@P�×"=Ç[=^J:QSQYÕÊc^J:["[d;:HZPZïU?@;já4QSP�]8A:PZ;:Ø©á4cÇJjÙÞ@×dP�[d[d=@× P�Jv×lÖlc@TYÙdP�Ö�Ùd=^×dPZJjÙqÙdc@P%Ö�×d=^TS[dPZÖ\;>?^]8TYÙdTS;:?¿á4TSQSQ�QYTSï>P�QSÕ�A:TSR:P§× PJ>[;>?^JvÝ@QSP�;vGIñ]8P[dTSA:?�Ölc^Jv×lJ:Ö\ÙdP×dT¾[ÙdT¾Ö�[�6lëêÙdc@TS×l]�]8TYòZÖ�=@QYÙ�ÕWT¾[zÙ c@P<TS?^]8TS× PÖ�Ù«á©J�ÕWTS?Má4c@T¾ÖlcMTS?@PõD=^J:QYTYÙ�Õ

� ¼|yUxzy:ö&i¥DmDo:w:g ��yUt��¾y

Ö\;:?Ç[�Ù × J:TY?DÙl[Ã;>?"Ùdc^P4A:P�;>HZP\Ù ×dT¾Ö�[d=@×ØºJ>Ö\PMßºJ:×dT¾[dTY?Â4Øè;:×�P�÷8J:HZÞ@QSP�Øè× ;:H²H�J:?D=@ØºJ:Ö�Ù =@× TY?Â;:× [Ùd× =^Ö�Ù =@× J:Qz×dP�õ>=^TY× P�HZP?DÙ [là�H�=^[�Ù4ÝIP�TSHZÞÇ;D[P�]z6

a©c@P[dP�]@TÆò�Ö�=@QYÙdTSP[|QSPJ:]�Ùd;1Ùdc@PZ]8P�[TS× PqÙ ;1]@P�R:PQS;:ÞÊJ:?É;>Þ8ÙdTSHZTSøJvÙdTS;:?�HZP\Ù c@;8]Uñ;:QS;:A>ÕÈØè;:×ZJ:P�× ;U]@ÕD?ÇJvHZT¾Ö§]8P[dTSA:?K6+O�;>[Ù�;:Ø4Ùdc@P�HZP�Ùdc@;8]@[qØè;:×§JvP×d;8]8ÕU?^J:HZTSÖ�;>Þ8ÙdTYñHZTYø�JjÙ TY;>?!J:×dP"RjJ:×dT¾JjÙ TS;:?^[³;vØ<Ö�QSJ>[d[dT¾Ö�J:QKHZP\Ùdc^;U]^[©Øè;:×|;:Þ8Ù TYH�J:QÃÖ\;>?DÙd× ;:Q¢â ùjæ&TY?�á4c^TSÖlc[ÞIPÖ�TSJ:Q&Ö�;:?^[dT¾]8P�×lJjÙ TS;:?�H�=Ç[�Ù�ÝÇP§A:TSR>P�?�Ù ;1Ö�;:HZÞ@=8ÙlJjÙ TY;>?^JvQ&Ö\;D[�Ùl[|J:?^]�Ù c@P§H�JjÙdc^P\ñH�JjÙdT¾ÖJvQ¢]8TYò�Ö\=^QÆÙ TSP[MTS?@c@P×dP?>Ù�TY?ÜÖ�;:HZÞ@× P[ [dTYÝ^QYP�RUT¾[dÖ�;:=^["J:?^JvQSÕ8[dTS[MJ:?^]Ü]8P�[TSA:?«6&ëá`PQYQ©Øè;>×dH�=@Q¾JjÙ P]Ú;:Þ8Ù TYHZTSø�JjÙdTS;>?êHZP\Ùdc^;U]ÛH�J�ÕÜc^P�QSÞÛÙd;ÜõD=@T¾ÖlïUQYÕÜJ>Ölc@TSP�R>P1JêA>;U;U]Ö\;:HZÞ^×d;>HZTS[dP�ÝÇP�Ù�á`PP�?ÊJ:P�× ;U]@ÕD?ÇJvHZT¾ÖW;>×|P�Ö\;>?@;:HZT¾ÖMÖ\;D[�ÙW;>Ý8ú�PÖ\ÙdTSR:P�[ Jv?Ç]�Ùdc@P§Ö\;>?8ñ[�Ù × J:TY?DÙl[�TSHZÞÇ;D[P�]�;>?ZÙdc^PWA:P;:HZP�Ùd× ÕqÝUÕ�;:Ùdc@P×³]@TS[ Ö\TSÞ@QSTS?@P�[&[d=^Ölc�J>[¢H�J:?D=@ØºJ:Ö�Ù =@× TY?ÂJv?^]�[Ùd× =^Ö\Ùd=@× P[�6DûªÙ©á4TSQSQÇJvQ¾[d;"JvQSQS;jáÚ=^[`Ù ;�Ö\;>?^[dTS]@P�×¢Ö�;:?^Ö�=@×d× P�?DÙ QYÕ�H�=^QÆÙ TSÞ@QSP Ö\× TÆÙ T¾Ö�JvQî^TSA:cDÙMÖ�;:?^]@TÆÙ TS;:?^[�Bz[d;1Ùdc^JvÙ�TÆÙ P�×lJjÙ TY;>?Èá4TYÙdcÉ;vGIñª]8P�[TSA>?ÉÖ\;>?^[dTS]@P�×lJjÙdTS;>?^[ Ö�J:?ÉÝIPZ× P\ñ]8=^Ö\P�]�;:×&P�QSTSHZTS?^JjÙ P]z6�û�?�Ù c@P³Þ^J:[Ù«ØèP�áÚÕ:PJ:× [�B�á³P¢c^J�R>P¢]8PR:P�QS;>ÞÇP�]�J:?";:Þ@ÙdTSHZTSøJjÙ TS;:?Ö�JvÞÇJvÝ@TSQSTYÙ�Õ�TS?�Ù c@Pqa4L ë|üWë û�LýÖ\;8]8P%âÆþvB\þ�ÿ8B\þ��8Bdä��UBdä��væ·6Ua4L ëWü|ë û�LET¾[ J§Ù�á³;vñ³Jv?^]Ùdc@× P�P�ñª]8TSHZP?^[TS;>?^JvQIØè=@QSQ&ÞÇ;:ÙdP�?DÙ TSJ:Q«î^;jáEÖ�;U]@Pqá4TYÙdcÊJ!]8TS×dP�Ö�Ù QYÕ1Ö\;>=@Þ@QSP]�ÝI;:=@?Ç]@Jv× ÕQSJ�Õ>P�×MÖ�J:Þ^JvÝ@QSP�;vØ³c^Jv?^]@QYTS?@A1Ö\;>HZÞ@QSP\÷�A:P;:HZP\Ù ×dTSP�[ Ù c@×d;>=@A:cÊÙdc@PZ=Ç[PZ;:Ø4V³Jv×dÙdP�[T¾J:?A:× TS]^[³J:?^]1[;>QY=@ÙdTS;:?%J>]@JvÞ@ÙdTSR:P�QS;UÖJvQzA:× T¾]�× P\í^?^P�HZP�?DÙ6

a©c@T¾[�Þ^JvÞIP�×³]8T¾[dÖ�=^[ [P�[�[;>HZP4;vØzÙdc@P�JvQSA:;>×dTYÙ c@HZT¾Ö�T¾[d[d=@P[¢]8PJ:QÆÙ<á4TYÙ cZTY?ZÝ^=@TSQS]@TY?ÂÙdc@P"a4L ë|üWëWû�L J:P�× ;8]8ÕU?^JvHZT¾Ö4;>Þ8ÙdTSHZTSøJvÙdTS;:?�ÖJvÞ^J:Ý@TSQYTYÙ�Õ:6:û�?�[P�Ö�ÙdTS;>?1ä�á`P�]8T¾[ Ö\=^[ [[;>HZP ;vØKÙ c@P Ù c@P�;>×dP�ÙdT¾Ö�J:QÇ]8TYò�Ö\=@QYÙ TYP�[�P�?ÇÖ\;:=^?>Ù P�× P]§TS?�JvP×d;8]8ÕU?^J:HZT¾Ö`;>Þ8ÙdTSHZTSøJvÙdTS;:?«6û�?¿[dPÖ\ÙdTS;:?Èù!á`P�á4TSQSQ}A>TYR>PqJv?É;jR:P×dRUTSP�á ;vØ³;:Þ8Ù TYHZTSø�JjÙdTS;>?%Øè;>×dH�=@Q¾JjÙ TY;>?^[³Øè;:×M7¢5��Ö\;:?Ç[�Ù × J:TY?^P]�Þ^×d;>Ý@QSP�H�[¢J:?^]1TS?1[dPÖ\ÙdTS;:?!å§]@P[ Ö\× TYÝIP|Ùdc@P"HZP�Ùdc@;8]@[³TSHZÞ@QSP�HZP?DÙdP]�TY?Ùdc@P4a4L ë|üWë û�LÛ]8P�[TSA:?�Ö\;8]8Pv6jû�?�[P�Ö�ÙdTS;>?� á³P¢á4TSQSQU]8P[ Ö\× TSÝÇP`R�J:×dTS;>=^[«A>QY;>Ý^JvQSTSøJvÙdTS;:?[�Ù × JvÙdP�A>TSP[zHZ;vÙ TSR�JvÙdP�]WÝUÕM?@;:?^QYTS?@P�Jv×zP�QSTSHZTS?^JjÙ TS;:? Jv?Ç]�]8P�HZ;>?^[�Ù × JvÙdP+Ù c@P�TS×«P�GIP�Ö�ÙdTSR>P\ñ?@P[ [³á4TÆÙ c![d;:HZP|P\÷@JvHZÞ@QSP�[\6Dû�?![dPÖ�Ù TS;:?!ÿ�á³P|á4TSQSQÇ]8P�[dÖ�×dTSÝIP|c^;já�Ùdc@PM;:Þ@ÙdTSHZTSøJjÙ TS;:?HZP\Ùdc^;U]1T¾[©P\÷UÙ P�?^]8P�]1Ùd;ZH�=@QYÙdTYñªÞÇ;>TY?DÙ©]8P[dTSA:?K6@û�?�[dPÖ�Ù TS;:?��á`PqÖ�;:?^[dT¾]8P�×4[d;:HZPM× P\ñH�JvTS?@TS?@A1ÙdP�Ölc@?@T¾Ö�J:Q¢T¾[d[d=@P�["TS?UR:;:QSRUTS?@A1×d;>Ý@=^[Ù�Ö\;>?UR:P�× A:P?^Ö\P�J:?^]ÜT¾]8P?DÙdTYíÇÖ�JvÙdTS;:?¿;vØTYQSQYñªÞÇ;D[P�]§Þ@×d;>Ý@QSP�H�[�6� �� &Î�� &Î8ÔÓ� ��ãÔ�� ÓzÒ��Î8Ô��ûªÙ&c^J>[ÃÝIP�P?qïU?@;já4?�Øè;>×+;jR:P�×Ãå� Õ>PJ:× [«Ùdc^JvÙ}Ù c@P`Þ^×d;>Ý@QSP�H ;vØ@Ù × J:?^[;>?@T¾Ö+î^;jáêÞ^J>[�Ù+Jv?JvTS×Øè;>TSQDT¾[<J:?ZTSQYQYñªÞÇ;D[P�]"Þ@× ;:Ý^QYPH²TS?�Ö\P×ÙlJvTS?�Ö�TS× Ö�=@H�[�ÙlJv?^Ö�P[©â ä:äUBªävùjæ�6�!UH�J:QYQ@ÖlcÇJv?@A>P[TY?�Jq?@PJ:×dQSÕqîÇJjÙ³ÞÇ;>×Ù TY;>?Z;vØ«Jv?!JvTS×Øè;>TSQ@Ö�Jv?!Ö�Jv=Ç[PWJ�[=^ÞÇP× [d;:?@T¾Ö©ø;:?@P|á4TÆÙ c�Jq[dc@;8Ölïá³J�R>PWÙ ;�JvÞ@ÞIPJ:×4;:× ]8T¾[ JvÞ@ÞIPJ:×�6@a©c@T¾[³T¾[©=^[=ÇJvQSQSÕ�J�R:;:T¾]8P�]ZTS?!P?@A:TS?@PP�× TS?@AqÞ@×lJ:Ö\ÙdT¾Ö\P[TS?^Ö�PZÙdc@P!×dP�[=^QÆÙ TS?@A�×dP�JvQ<îÇ;já TS["QYTSï>P�QSÕ�Ùd;ÉP\÷8c@TSÝ@TYÙ"=@?^]@P[dTY×lJvÝ^QYP§=@?Ç[�Ù PJ:]@Õ¿;D[dÖ�TSQÆñQSJvÙdTS;:?Ç[\6Ka©c@T¾[�]8TYò�Ö\=@QYÙ�ÕÈT¾[�?@;vÙ"× P�HZP�]8TSP]ÊÝDÕÉ=^[dTY?Â!c@TSA>c@P�×�;>× ]8P×MH�JjÙdc^P�H�JjÙ T¾Ö�JvQHZ;U]@P�QSTS?@A@BÃP:6�A@6YB&Ù c@P"�<=@QSP×qPõD=^JvÙdTS;:?Ç[%âÆþ#�jæ�6<a©c@P�üWJ�RUTSP�×dñ�!DÙ ;:ï>P[�P�õ>=ÇJjÙdTS;>?^[qJ:×dPJvQ¾[;Zá³P�QSQ«ïU?@;já4?ÈÙd;�P�÷Uc^TYÝ^TÆÙ H�=@QYÙdTSÞ@QSP�[d;:QS=8ÙdTS;>?^[4J:[ Ùdc@P�L4P�ÕU?@;>QS]^[ ?U=@H�ÝÇP× T¾[ TS?8ñÖ\× PJ:[dP]K6>ëW[`HZTSA:cDÙ<ÝÇP|P\÷8ÞIPÖ�Ù P]zB8]8P�[TSA:?§;>Þ8ÙdTSHZTSøJvÙdTS;:?qÙdP�?Ç]@[<Ù ;q]8× TSR:P©Ùdc^P|]8P�[TSA:?Ùd;já©Jv×l]@[+Ùdc^P[dPWTSHZÞ@×lJ:Ö�Ù T¾Ö�JvQUÖ\;>?8íÂ>=@× JvÙdTS;:?Ç[+=@?@QSP[ [¢Ö�;:?^[Ùd×lJvTS?@P�]"Øè× ;:H ]8;:TS?@A"[d;@6UûªÙTS[WJvQ¾[;§á³P�QSQ«ïU?@;já4?�Ù c^JjÙWTS?�RUT¾[dÖ�;:=^[³îÇ;jáMBÇ[PÞ^Jv×lJjÙ TS;:?1TS[WJZc@TSA:c@QSÕ�?^;:?@QSTS?@PJ:×4Jv?^][P?^[TYÙ TYR>P Þ@c@P?@;:HZP?^J86Uû�?�JqÝI;:=@?Ç]@Jv× ÕZQ¾J�Õ:P�×BD[dH�JvQSQIÖlc^Jv?@A>P[`TS?%P�TYÙ c@P�×³Ùdc^PMJ:TS×Øè;>TYQ[c^J:ÞÇPq;:×4Ù c@P";:=@ÙdP�×|TS?DRUT¾[ Ö\T¾]Zî^;já�Ö�J:?�×dP�[=^QÆÙ4TS?�Q¾Jv× A:PMÖlc^Jv?Â:P[ TY?1Ù c@PqÝI;:=@?Ç]@Jv× Õ

¸³i�m>�nk¨m>g�t�£`Ä«�nk¨r�knmDt��kni�m§knmZ�¢g £�iv¤:u:mDtr�kn�©�¢mUt�¬u:¡�kn¡¢tmU¤�¼©gl¡�kno�m�{³s:��knr�k¨°lt��kni�m �

QSJ�Õ>P�×6vû�?ZØºJ:Ö\Ù�BUTYÙ¢T¾[¢õD=@P[ÙdTS;>?^JvÝ@QSP©á4c@P�Ùdc@P×`[ÙdPJ>]8Õ§[�ÙlJjÙdP�[;>QS=8ÙdTS;:?Ç[+P\÷8T¾[�Ù¢JvÙ³JvQSQ8Øè;>×Ùdc@P"ü|J�RDTSP×ñ�!DÙd;>ï:P�[¢P�õ>=ÇJjÙdTS;>?^[³á4c@P�?1Ùdc^P�î^;jáìT¾[4[dP�Þ^J:× JvÙdP�]z6^_@=@×dÙdc^P�×B@Ùd=@× Ý@=@QSP?^Ö\PHZ;U]@P�QSTS?@AqT¾[©P[ [dP�?DÙdT¾JvQzÙ ;�J:Ölc@TSPRDTS?@A�×dP�JvQST¾[�Ù T¾Ö × P[d=@QYÙ [`Øè;:× c^TYA>c1L P�ÕU?@;:Q¾]@[©?U=@H�ÝIP�×î^;já [MJv?^]ÉÙdc^P§]@P�ÞIP�?^]8P?^Ö\PZ;:Ø¢Ù c@P§î^;já ;>?ÊÙ c@P[dP§HZ;8]8P�Q¾[|TS[�R>P�× Õ�?@;:?@QSTS?@P�Jv×6Iû�?J:]@]8TYÙ TY;>?KB«Jv?ÀJvTS×dØè× J:HZP"H�=Ç[�Ù�c^J�R>P�J>Ö�Ö\PÞ8Ù J:Ý@QSP�ÞIP�×dØè;:× H�Jv?ÇÖ\P�P�R:P×dÕUá4c@P×dP�TS?ÊÙ c@Pî^TSA:cDÙZP�?UR:PQY;>ÞÇP!Ùd;êÝIPÈRUT¾JvÝ@QSP:6¢ç|?ÇÖ\P�Ùdc^TS[§T¾[§× PJ:QYTSøP]zB+TYÙ�TS[ZJ:Þ@Þ^J:×dP?>Ù§Ù c^JjÙ�Ù c@PJvP�× ;8]8ÕU?^JvHZT¾ÖM]8P�[TSA:?�Þ^×d;>Ý@QSP�H H�=^[Ù|Ö�;:?^[dT¾]8P�×WJvÙ�QSP�J:[Ù|J�× PJ>[;>?^JvÝ@QSPM?U=@H�ÝÇP×W;vØ]8TYGIP×dP?>Ù©î^TSA>c>Ù4Ö\;>?^]8TYÙdTS;>?^[³P�R:P?!TYØ&;:?@QSÕ§Ùdc^×d;>=@A:c1TS?@PõD=^J:QYTYÙ�ÕZÖ\;>?^[Ùd×lJvTS?DÙ [�BDP:6 A^6ÆB@TYÙc^J:[`ÝÇPP�?�;>Ý^[dP�× R:P]�Ù c^JjÙ4Ö\;>?>Ù ×d;>QSTY?ÂWÙ c@PWÞIPJ:ï§OÊJ:Ölc�?U=@H�ÝÇP×<;vØÃJqá4TS?@AqJjÙ©Ö\× =@T¾[Pî^TSA:cDÙ©Ö�;:?^]@TÆÙ TS;:?^[³]8=@× TS?@A�]@P[dTYA>?%á4TSQSQz=^[=ÇJvQSQSÕ�× P[d=@QYÙ©TY?�J:ÖÖ\PÞ8Ù J:Ý@QSP|JvP×d;8]8ÕU?^J:HZT¾ÖÖlc^Jv×lJ:Ö\ÙdP�× T¾[�Ù T¾Ö�[+JjÙ©c@TSA:c@P×`[dÞÇPP]@[`;:×³QSTYØ¾Ù [�6>û�?%Þ^× J>Ö�ÙdT¾Ö�PvB:H�=@QYÙdTYñªÞÇ;>TY?DÙ�;:Þ@ÙdTSHZTSøJjÙ TS;:?TS[©× PõD=@TS× P]Zá4c^TSÖlc1TS?^Ö\× PJ>[P�[`Ö�;:HZÞ@=@Ù JjÙ TS;:?^J:QIÖ�;>[Ù4J:?^]%î^;já½Ù TYHZP§â �jæ�6$ %'&WÎ8Ô�� Ô�() &Î8Ô�Ð<Í+* Ð�Ï,�EÒ��- }Î8Ô�Ð¢Í.�a©c@P³a4LWëWüWëWû�LÅÖ�;8]8P`T¾[&J|Ö�;:HZÞ@× P[ [dTYÝ^QYP¢V³_+5ãÖ\;8]8P©]8P�[TSA:?^P]MÙ ;|HZ;8]8PQDJ:×dÝ@TYÙ × J:×dÕA:P�;>HZP\Ù ×dTSP[}× ;:Ý@=^[ÙdQSÕ�â ä��æ·6vûªÙ<=^[dP[¢J|QS;8Ö�J:QSQYÕM× P\í^?^P]ZV³Jv×dÙdP[dT¾Jv?�A:× TS]"Ùdc^JvÙ¢]8;UP[�?^;vÙÖ\;:?@Øè;:× H Ùd;�Ùdc^P"[=@×dØºJ:Ö�PM;vØÃÙ c@P�ÝI;U]@ÕvBÇ[d;:QS=8Ù TY;>?%J:]^JvÞ8Ù TYR>P|A>×dT¾]%×dP�í^?@P�HZP?DÙ�B@Jv?^]1Jü P�á©Ù ;:?8ñ�/M× ÕDQS;jR [d;:QS=8Ù TY;>?�J:QSA:;:× TYÙdc@H�6�N�P?@P�×lJvQ>A:P�;>HZP\Ù ×dÕWÖJvÞ^J:Ý@TSQSTÆÙ�Õ J:?^]�ü Pá©Ùd;>?8ñ/M×dÕUQS;jR�[;>QY=@ÙdTS;:?"HZP�Ùdc@;8]8;>QS;:A:ÕMc^J�R>PÀ>P�?@P× J:QSQYÕMÝIP�P?�Ù c@;:=Â:cDÙ+Ùd;�ÝIP4c@P�QSÞ8Øè=@Q^á4c@P�?Ö\;:?Ç[�Ù ×d=^Ö\ÙdTS?@AMJM7¢5��ñ�Ö\;:?Ç[�Ù × J:TY?^P]M;:Þ@ÙdTSHZTSøJjÙ TS;:?�Ö\;8]8P:6:F ;já³P�R:P×�BjTYÙ�c^J:[&A>P�?@P× J:QYQSÕÝÇPP�?�Ùdc@;>=@A:cDÙ+ÙdcÇJjÙ¢[d;:QS=8ÙdTS;>?qJ:]@J:Þ8ÙdTSRUTYÙ�ÕMTS[+J:?�TSHZÞIP]8TSHZP�?DÙ&ÝÇP�Ö�Jv=Ç[P©TYÙ�TS[+JM[d;:=@×lÖ\P;vØqól?@;>TS[dPô%TS?ÉÙ c@PZ;:Ý@ú�PÖ�Ù TSR:P�á4c@P�?êJ�Ý@Q¾J:Ölï�ÝI;�÷Ê;>Þ8ÙdTSHZTSøJvÙdTS;:?ÈJ:Þ@Þ@× ;>J:ÖlcÉT¾[MP�H§ñÞ@QS;jÕ:P]K6�ëÅØè=@×dÙdc@P×<[TSHZÞ@QSTYØèÕUTS?@A©HZP\Ùdc^;U]@;:QS;:A>Õ|=8Ù TSQYTSøP]MTS?�a4L ë|üWëWû�LÅT¾[}Ùdc^P³=Ç[P©;vØÙd×lJv?^[dÞ@TS× JvÙdTS;:?1ÝI;:=@?^]^Jv× Õ�Ö�;:?^]@TÆÙ TS;:?^[©Ù ;![dTSH�=@Q¾JvÙdPMÙdc^PqP\GzPÖ\Ù�;vØ¢J:Ö\Ùd=^J:QSQYÕ!HZ;jRUTY?ÂÙdc@P�[=^×ØºJ>Ö\Pv6<a©c@T¾[�P�QSTSHZTS?^JjÙ P[�Ùdc^P!?@P�Ö\P�[d[dTYÙ�Õ¿;:Ø|Ö\;>HZÞ@=8Ù TY?ÂÊ[P?^[dTÆÙ TSRDTYÙ TYP�[�;vØWÙ c@PA:× TS]ÉTYÙ [dP�QYØ`á4TYÙ c¿× P[dÞIPÖ�Ù�Ù ;�Ùdc^P%]8P[dTSA:?¿RjJv× TSJ:Ý@QSP[�6«ç|?^PZ;vØ©Ùdc@P!Ö\;:?Ç[P�õ>=^P�?^Ö�P[M;vØÙdc@P�=^[dP|;:ØÃü P�á©Ù ;:?)0¬[³HZP\Ù c@;8]ZT¾[<Ù c@P|P�÷8ÞÇP×dTSP�?ÇÖ\P á4TYÙdc%TY?^P\÷@J:Ö\Ùd?@P�[d[¢;vØ}]8P×dTSRjJjÙ TSR:P[Ùdc^JvÙ¢Ö�Jv× × TYP�[Ã;jR>P�×+JvQSHZ;>[Ù&]@TY× PÖ\ÙdQSÕ�Ùd;MÙ c@P4;:Þ8Ù TSHZTYø�JjÙ TY;>?�Ö�J:[dPMâ ä1�jæ�6vû�?§J>]@]8TYÙdTS;>?KB�á³Pá4TYQSQ^J:×dA>=@P4ÝIP�QS;jáÚÙ c^JjÙ¢Ùdc@P|=^[P|;vØ«J"[dP�?^[dTYÙdTSRUTYÙ�ÕMØè;:× H�=@Q¾JvÙdTS;:?"P?^JvÝ^QYP�[+Ùdc^PWTSHZÞ@QST¾Ö\TYÙJv?^]1Ö\;D[�Ù P�GIP�Ö�ÙdTSR>P|A>P�?@P× JvÙdTS;:?�;:Ø&ÞÇJv×dÙdT¾JvQK[dPÖ\;>?^]!;:×l]8P�×©TS?8Øè;:× H�JjÙ TS;:?K6

a4L ëWü|ë û�L']8T¾[ Ö\× P\Ù TYøP[�J:?^]Ü[d;:QSR:P�[�Ùdc@P%î^;já Þ@×d;>Ý@QSP�H ;:?ÜJÊ[dP�× TSP[M;:Ø A:× TS]^[\B2�3 þ14lä�46565#57498:�6ICÀPqc^J�R>P"Ö\;:H�Ý@TS?@P�]%;>=@×|]8P�[TSA>?�J:?^]�;:Þ@ÙdTSHZTSøJjÙ TS;:?!ÖJvÞ^J:Ý@TSQSTÆÙ�Õá4TÆÙ c¿Ùdc@T¾["[d;:QS=8Ù TY;>?ÉJ>]@JvÞ8Ù TSR:P�A:× TS]¿Ö�J:Þ^JvÝ^TYQSTYÙ�Õ�ÝUÕÉ]8P�í^?@TS?@A�J�]8T¾[dÖ�×dP�ÙdPZ[dTYHZÞ^QYTYí^P�];:Þ8Ù TYHZTSø�JjÙdTS;>?ÜÞ@× ;:Ý@QSP�H ;:?½P�J:ÖlcãA>×dT¾]ÅTY?½[d=^ÖlcìJÜá³J�ÕÚÙdc^JvÙ%Ùdc^PÊP�?DÙ TY× P�Þ@× ;8Ö\P[ [Ö�Jv?�Ö�;:?UR:P×dA>PWÙ ;ZÙdc@P"[d;:QS=8Ù TS;:?%;:Ø+Ùdc@PqÖ�;:?DÙdTS?U=@;>=^[³;:Þ8Ù TYH�J:QKÖ\;:?DÙ ×d;>QKÞ@×d;>Ý@QSP�H�6^_^;:×[TSHZÞ@QST¾Ö\TYÙ�ÕvBvTS?%Ùdc@P�Øè;:QSQS;já4TS?@A�]8P[ Ö\× TSÞ8ÙdTS;>?Z;vØ};>Þ8ÙdTSHZTSøJvÙdTS;:?�HZP\Ù c@;8]@[�BUá³P�á4TYQSQz]8PJ:Q;:?@QSÕ§á4TYÙdcZÙ c@P�]8T¾[dÖ�×dP�ÙdPWR>P�×l[TS;>?�;:Ø«Ùdc^P�Þ^×d;>Ý@QSP�H á4c@T¾Ölc�T¾[¢ÞI;>[dP]%;:?%J�A:TSR>P�?�A>×dT¾]z6

a©c@P�]8T¾[dÖ�×dP�ÙdTSø�P�]Z?@;:?^QYTS?@P�Jv×©[�ÙlJjÙ P§ßèî^;jáWà³PõD=^JvÙdTS;:?Ç[`á4TSQSQzÝÇP"]@P�?@;:ÙdP]!ÝUÕ;Zß=<"49>zà 3 ß?;A@vß?<"4B>KàC4C;�D>ß=<"49>zà746565#5E49;GF«ß?<"4B>Kàà-H 3 á4c@P�× P�Ùdc^P`[Ù JjÙ P¢RjJv× T¾JvÝ@QSP�[\BE< 3 ß?< @ 4B< D 46565#5E4B< F à H BjÖ\;>?^[T¾[Ù«;vØ@ÝI;vÙ c�Ùdc@P`TS?DRUT¾[ Ö\T¾]î^;já½RjJv× T¾JvÝ@QSP[¢Jv?^]�Ùdc@PMÝI;:=@?^]^Jv× Õ�Q¾J�Õ>P�×¢RjJ:×dT¾JvÝ^QYP�[\6Da©c@P�]@P[dTYA>?�Þ^J:× J:HZP\ÙdP× [�B�> 3ß=> @ 4B> D 4#565#5E4B>�I�à H Ö�;:=@Q¾]§× P�Þ@× P[dP�?DÙ`Ùdc@P�A:P;:HZP\Ù ×dÕ�[cÇJvÞIPW;:×`î^;já½õD=^J:?>Ù TYÙdTSP[<[d=^Ölc


J:[�Øè× P�P[Ùd× PJ:H Jv?@A>QSP!;:ØMJvÙÙ J>Ölïê;:×�OÈJ>ÖlcÅ?U=@H�ÝIP�×6<û�?^Ö\QS=^]8P�]ÚTS?J;Zß=<"49>zà�T¾[§Jv?TY?^c@;:HZ;>A:P�?^P�;:=Ç[4ü P�=^H�Jv?@?ÈÝI;:=^?^]@Jv× Õ�Ö\;>?^]8TYÙdTS;:?"K�ß=<"49>zà©=Ç[P�]�Ùd;�JvÞ^Þ@×d;�÷8TSH�JjÙ PÙdc@PÀP\GzPÖ\Ù�;vØqÝI;:=@?Ç]@Jv× ÕãHZ;vÙ TY;>?²â¨þ�ÿjæ�6 ç|?^P¿[dTSHZÞ@QSP�Øè;:× H ;vØ"Ù c@T¾[�Ö\;:?Ç]8TYÙdTS;:?ãT¾[Kqß=<"49>zà 3MLON#P)QR á4c^P�× P L T¾[<Ù c@P�H�J:[ [<îÇ=8÷�Ùdc^×d;>=@A:c%Ùdc@PMÝI;:=@?^]^Jv× Õ�Jv?^] P)QR T¾[Ùdc@PMÙ ;vÙ J:Q«Ölc^Jv?Â:PMTS?!=@?^TÆÙ4?@;>×dH�J:QI]@=@PMÙd;§Ù c@P"]8P[dTSA:?!Þ^Jv×lJvHZP�ÙdP�×l[S>Ã6

ü ;jáMBÖ�;:?^[dT¾]8P�×IÙdc^P<Þ@× ;:Ý@QSP�Hã;:Ø8HZTY?^TYHZTSøTY?Â<J³[ Ö�J:Q¾Jv×z;:Ý8ú�P�Ö�Ù TYR>P&Øè=@?^Ö�Ù TS;:?UTÇß?<"4B>Kà[=@Ý@ú�PÖ�Ù+Ù ;WÙ c@P4Ö\;:?Ç[�Ù × J:TY?DÙ}Ùdc^JvÙA;Zß?<"4B>Kà 3 @6�C¿P4J:[ [d=@HZP<Ù c^JjÙ+Ùdc^P4b>J:Ö�;:Ý@T¾J:?�H�JjñÙd× TÆ÷WV�;�X�YZV[<�\�T¾[<TS?UR:P×Ù TYÝ^QYP`Øè;:×¢Ùdc@P�RjJvQS=@P�[<;vØ]>!;vØ«TS?DÙdP×dP�[�Ù`J:?^]Z=^[dP Ù c@PW?^;vÙ JvÙdTS;:?Ùdc^JvÙ V�T�YZV[< 3 ß?V�T�YZV[<^@#49V�T�YZV[<WD_465#565#49V�T`Y�V[<aFUàTS[4J�× ;já½R:P�Ö�Ù ;:×6

a©c@P�?@PÖ�P[ [dJ:×dÕÜÖ�;:?^]8TYÙ TY;>?^[qØè;:×�;>Þ8ÙdTSH�JvQSTYÙ�ÕÉJ:×dP�;:Ø¾ÙdP�?ÛØè;>×dH�=@Q¾JjÙ P]êÝUÕÜTS?DÙd× ;vñ]8=^Ö\TS?@A1Ù c@P�XÃJ:A:×lJv?@A>PqH�=@QYÙdTSÞ@QSTSP�×l[cb 3 ßdb @ 47b D 465#565#4Cb F à H J:[MTS?^]@P�ÞIP�?^]8P?DÙ"R�J:×dTYñJvÝ@QSP[Mâ ùjæ�6â©c@P"XÃJ:A:×lJv?@A>T¾Jv?ZT¾[³Ùdc@P?�]8P\í^?^P]1ÝUÕeWß=<4B>�4CbIà 3 TIß=<"49>zà]fgb,HG;Zß=<4B>KàC5ë³ÙMJ:?È;:Þ8Ù TSH�=@H�B^Ùdc@P§XÃJ:A:×lJv?@A>P�H�=@QYÙ TYÞ^QYTSP×hbiX`TS[WÙdc^P�]8P×dTSRjJjÙ TSR:PM;vØ<Ù c@P�R�J:QS=@P";vØT�á4TYÙ c�×dP�[ÞIPÖ\Ù`Ù ;�ÖlcÇJv?@A>P[<TS?%Ùdc@P�RjJvQS=@PW;:Ø«Ùdc^P�Ö�;:?^[Ùd×lJvTS?DÙS;GX�B8T�6 P:6ÆBjbiX 3lk T�Y k ;�X6ü PÖ�P[ [dJ:×dÕ�Ö�;:?^]@TÆÙ TS;:?^[¢Øè;:× J:?1;>Þ8ÙdTSH�=@H Jv× P�Ùdc^JvÙ4Ùdc@P�A>× J>]8TSP�?DÙ`;:Ø�eÛÝIP�ø�P�× ;@BV�eV[> 3 V�TV[> fgb H V�;V[> 3 ßþ�àV�eV[< 3 V�TV[< fmb H V[;V[< 3 ß�ä:àV�eV)b 3 ;Zß?<"4B>Kà 3 j5 ß·ù>à

û�?"Ö�J:[dP[«á4c@P�× PnV�;�YZV[< TS[«TY?UR>P�×dÙdTSÝ@QSP«Øè;>×«Ùdc^P<RjJvQS=@P[«;vØ�>";vØ8TS?DÙdP×dP�[�ÙB\Ùdc@P`XÃJvA>× J:?@A:PH�=@QYÙ TYÞ^QYTSP× [�Ö�J:?½ÝÇP¿P�QSTSHZTS?^JjÙ P]ÜØè×d;>H Ù c@PÉØè;:× H�=@Q¾JvÙdTS;:?K6<a©c@T¾[%TS[!]8;:?^PÊÝUÕÛí^× [Ù[;>QYRUTS?@A�PõD=^JjÙ TS;:?Éß�ä:à¢Øè;:×�b«6Ia©c^TS[³ÕUTSP�Q¾]@[b 3popq V�;V[<srUt H q V�TV[<sr H 5 ßºåDà

ûªØWÙdc^TS[�T¾[§[=@ÝÇ[�Ù TÆÙ =8ÙdP�]ÜTS?DÙd;ÉPõD=^JjÙ TS;:?ìßþ�àlB�á³P!;>Ý8Ù J:TS?êÙdc@P1Øè;>QYQS;já4TS?@A�PõD=@TSRjJvQSP?>Ù?@PÖ�P[ [dJ:×dÕ�Ö�;:?^]8TYÙ TY;>?^[¢Øè;:×4;:Þ@ÙdTSH�JvQSTYÙ�Õ[uk Tk >wv V[TV[> oxq V�TV[<sr q V�;V[<sr t @ q V[;V[>yr 3 ßz�:à;Zß=<4B>Kà 3 �5a©c@P�õD=^J:?>Ù TYÙ�Õ k T`Y k >¿]8P\í^?^P]ÈJ:ÝÇ;jR>P�TS[ ;vØ¾ÙdP?ÊÖ�J:QSQYP�]�Ù c@Pq× P]@=^Ö\P�]�A:×lJ:]8TSP�?DÙ6Ça©c@P?@PÖ�P[ [dJ:×dÕÜÖ�;:?^]8TYÙ TY;>?^[§Ö�J:?Û?^;já ÝIP�Øè;:× H�=^QSJvÙdP�]êP�TYÙdc^P�×ZTS?ÚÙ P�× H�[§;vØ�[;>QSRDTS?@A¿Jv?

¸³i�m>�nk¨m>g�t�£`Ä«�nk¨r�knmDt��kni�m§knmZ�¢g £�iv¤:u:mDtr�kn�©�¢mUt�¬u:¡�kn¡¢tmU¤�¼©gl¡�kno�m�{³s:��knr�k¨°lt��kni�m {J:]�ú�;>TY?DÙ<Þ@× ;:Ý^QYPH0ßºåDà&Øè;>×|bZ;>×`]8TS× PÖ\ÙdQSÕ"ÝUÕ�[d;:QSRUTS?@A|Ùdc@P QSTS?@P�Jv× TYøP]�[�ÙlJjÙdPWPõD=^JjÙ TS;:?^[=^[TS?@A�H�=@QYÙdTSÞ@QSP<× TYA>cDÙ}c^J:?^]�[dT¾]8P[}Ù ;MÖ�;:HZÞ@=@ÙdP©PJ>Ölc�Ö\;>QS=@HZ?";vØIÙdc^P R ÝUÕy} H�JjÙ ×dTY÷~ v k < Xk >,� 3po F�\7��@ q V�; \V[< X r t @ q V�; \V[>,��r 5a©c@PqQ¾JjÙdÙdP×|JvÞ^Þ@×d;DJ:Ölc�T¾[4Ù c@Pq;>?@PqTSHZÞ@QSP�HZP?DÙdP]!TS?�Ùdc@P§]8P�[TSA:?�J:?^]�;:Þ@ÙdTSHZTSøJjÙ TS;:?R:P�×l[dTY;>?Ú;:Ø�a4LWëWüWëWû�LM64ë�Ùd×lJv?^[dÞ@TS×lJjÙdTS;>?ÜÝÇ;>=@?^]@J:×dÕÛÖ\;>?^]8TYÙdTS;:? ßºJ:?ãTY?^c@;:HZ;>A:P\ñ?@P�;>=^[+ü P�=^H�Jv?@?�ÝÇ;>=@?^]@J:×dÕ"Ö�;:?^]8TYÙ TY;>?ÇàKT¾[}=^[dP]qÙd;�JvÞ@Þ^×d;�÷8TSH�JjÙ P�V[;�Y�V[>qØè;>×}Ù c@;>[dP>�0¬[4Ù c^JjÙ�×dPÞ@×dP�[P?DÙW[=@×dØºJ:Ö�P"A:P;:HZP�Ùd× ÕvBÇJ>[W]8P�[dÖ�×dTSÝIP]1TS?Üâ¨þ�ÿjæ�6[�¢õD=^JvÙdTS;:?Àßd�>à4A>TYR>P[Ùdc@P©A:×lJ:]@TYP?DÙÃ;vØ�T�J:[ [=@HZTS?@Ac;ìT¾[Ãc@PQ¾]�í@÷8P]K6vûªÙ�]@;DP�[&?@;vÙBvc@;já`PR:P×�B�ÙdPQYQD=^[+c@;jáÜÙd;Ý^JvQ¾Jv?ÇÖ\P©]8PÖ�×dP�J:[dTY?^A4Ùdc@P4RjJ:QY=^P³;:Ø[T"J:A>J:TY?Ç[�Ù&H�JvïUTS?@A.; [H�J:QYQ�6Z!U=^ÖlcZJ�Ý^JvQ¾Jv?ÇÖ\P`ÖJv?ÝÇPM]8P�× TSR:P�]§ÝDÕZP�÷@JvHZTS?@TS?@A�Ùdc@P�Ö�QSJ>[d[dT¾Ö�J:Q@XÃJvA>× J:?@A:P�ñªüWP�á©Ù ;:?§HZP\Ù c@;8]ÊâÆþ:þ\æ�68ë Þ@Þ@QSÕDñTY?^A�üWP�á©Ùd;>?)0¬[+HZP\Ùdc^;U]qÙd;MP�õ>=ÇJjÙdTS;>?^[©ß�þ�à�B^ß·ä>àlB:Jv?Ç]1ß·ù>à�Bvá`P4Jv× × TYR>P¢JjÙ+Ù c@P©Øè;:QSQS;já4TS?@APõD=^JjÙ TS;:?^[`Øè;:×©Ù c@P�=@Þz]@JjÙ P[ P >�Ù ;a>ÃB P < Ùd;a<êB^J:?^] P b1Ùd;�b]u�� en�� geS�� ; H�en�|� �en�|� �l; H�;�� ;�� P >P < Qb �� 3�o �� T H�T H�;�� ß·ÿ>à

á4c@P�× P Qb 3 b�f P b1Jv?^]§á³PWc^J�R>P =^[dP]§Ù c@P|[d=@Ý^[ Ö\× TSÞ8Ù¢?@;:Ù JvÙdTS;:?�Øè;:×³Þ^J:×Ù TSJ:Q^]8P×dTSRjJjñÙdTSR:P�[\B¢P:6 A^6ÆBh;G�|� 3 V D ;�Y�V[<��6V[<a�ª6©a©c^PÈÝ@QS;8ÖlïÚP�?DÙ ×dTSP[%JvÝI;jR:PÊÖJv?ãÝIPÊ× PJ:]@TYQSÕP\÷8Þ^Jv?Ç]8P]¿J:[UeS�1� � 3 TE�� flb H ;G�1� �ÇB�eS�� 3 TE�� Mflb H ;G�1� ��BÃP�Ù Öv6��`QS;8Ölï�× ;já;:ÞIP�×lJjÙdTS;>?^[¢;>?êßºÿ>à`ÕUTSP�Q¾]ZÙ c@PMØè;:QSQS;já4TS?@A"P�õ>=^TYRjJ:QYP?DÙ³[dÕU[ÙdPH�u� P > 3po : H ß��và;�� P >�fm;�� P < 3po ;Zß?<"4B>Kà ßd�>àQb 3 ; t H� â o T H� o e �|� � P > o e �|� � P <�æ ßd�>àá4c@P�× P � 3 T �_� o ~ H T �� o T �_� ~ f ~ H T �� ~f�biH�; �_� o ~ H�biH�; �� ß�þ� >ào b H ;G�_� ~ f ~ H b H ;G�� ~Jv?^] : H 3 ß?TE� o TE�.; t @� ;G�8à H o ß?TE�_�sfmb H ;��_�Mà�; t @� ;o ; H� ; t H� ß?T6�|�sfgb H ;��à�; t @� ;|5 ß�þ>þ�à

a©c@PqH�JvÙd× TÆ÷�� 3�k D T`Y k >,� k > X T¾[W;vØ¾ÙdP?ÊÖ�J:QSQYP�]!Ùdc@P�×dP�]8=^Ö\P�]ÈF P�[d[dT¾Jv?�Jv?Ç]: T¾[WJHZ;U]@TÆíÇP]ZØè;>×dH0;vØ&Ùdc@P�× P]@=^Ö\P�]%A>× J>]8TSP�?DÙ�6@a©c@PMí^×l[Ù4ÙdP�× H TS?!Ùdc@PMØè;>×dH�=@Q¾J�Øè;>×c: HTS["Ùdc@P%Ùd×lJv?^[dÞI;>[dP�;vØ©Ùdc^P!× P]8=ÇÖ\P]ÀA>× J>]8TSP�?DÙ"A:TSR>P�?ÀÝUÕÉP�õ>=ÇJjÙdTS;>?�ßz�:àqJvÝI;jR:Pv6+a©c@PQSJ>[�Ù©Ù�á³;§ÙdP×dH�[ ÖJv?�ÝIP"?@P�A>QSPÖ�Ù P]!TYØA; t @� ;�B^T�6 Pv6YB@Ùdc^Pqü Pá©Ùd;:?È[ÙdPÞ�Øè;:×4Ù c@Pq[Ù JvÙdP


PõD=^JjÙ TS;:?^[�B«T¾["[H�J:QSQ·6Kû�?ÜJ:?DÕ¿Ö�J>[P:B}]8× ;:Þ@Þ@TS?@A1Ù c@P[dPZÙdP×dH�["×dP�]8=^Ö\P�["Ö\;>?UR:P�× A:P?^Ö\PÙd;ZÙ�á³;�[�Ù P�ÞÈ[d=@ÞIP�× QYTS?@P�Jv×�âÆþ:þ\æ�6ÇûªØ�� T¾[4ÞI;>[dTYÙdTSR:P�]8P�í^?@TYÙdP:BÇ[;>QSRDTS?@A�PõD=^JvÙdTS;:?êß��và©T¾[PõD=@TSRjJvQSP�?DÙ¢Ù ;ZHZTS?@TSHZTYøTS?@A�Ùdc@P"õD=^J>]8× JvÙdT¾Ö4Øè=^?^Ö�Ù TY;>?^JvQ~ TIß P >Kà 3 þ

ä ß P >zà H �Üß P >zà]fm:Zß P >Kà�fmT7��5 ß�þ�ä:àûªÙ¢T¾[+ÞÇ;D[d[dTSÝ@QSP<Ùd;qTYHZÞI;>[dP©Jv?UÕ"TS?@PõD=^J:QSTÆÙ�ÕM;>×�PõD=^JvQSTYÙ�Õ"Ö\;>?^[Ùd×lJvTS?DÙ [}TY?UR>;:QSRUTY?Â P�TYÙdc^P�×<*J:?^]Çé�;>×�>�á4c@P�?�[d;:QSRUTY?Â�Ùdc@T¾[4õD=^J>]8× JvÙdT¾Ö|Þ@×d;>A:×lJvH�6�)�z� ��?�]�� m¡S¢j£i¤_¢,¥�£[¦¨§"¦ª©a«#�[¥w¬�¦ª«#G�]®ç|?@P4JvQSA:;>×dTYÙdc^H TSHZÞ@QSP�HZP?DÙdTS?@A³Ùdc@P X}JvA>× J:?@A:P³ü P�á©Ù ;:?�HZP\Ù c@;8]qT¾[Çú�=^[Ù�J�Ý@QS;8Ölï"[d;vñQY=@ÙdTS;:?�HZP\Ù c@;8]qØè;>×¢P�õ>=ÇJjÙdTS;>?1ß·ÿ>àl68N�TSR:P�?�Ù c@PWÖ\=^×d× P�?DÙ<RjJvQS=@P�[&Øè;:×¢J:QYQ@Ùdc@P RjJ:×dT¾JvÝ^QYP�[\Bí^× [Ù¢Ö\;>HZÞ@=8Ù Pc�ÁJv?^]a: Øè×d;>HýP�õD=^JjÙ TY;>?^[4ß�þ� >à+J:?^]�ß�þ>þ�à&=^[dTS?@A�Ùdc@PWÖ�=@× ×dP?>Ù<RjJ:QY=^P[;vØ�Ùdc^P�X}JvA:×lJv?Â:P�H�=@QYÙdTSÞ@QSTSP�×l[\68a©c@P�[ÙdPÞÈTS?�Ùdc^P�]8P�[TSA>?1RjJ:×dT¾JvÝ^QYP�[ P >ÉT¾[W;:Ý8ÙlJvTS?@P]ÝDÕÊHZTY?^TYHZTSøTY?Â ~ T�J>[|A>TSR:P�?ÊÝDÕÊPõD=^JjÙ TS;:?Úßþ�ä:à�[d=@Ý8ú�P�Ö�ÙMÙd;�Jv?UÕ�TS?@PõD=^J:QSTÆÙ�Õ�Ö\;>?8ñ[�Ù × J:TY?DÙl[\6za©c@PZ[�Ù P�ÞÊTS?�Ù c@PZ[�ÙlJjÙ P�RjJv× T¾JvÝ@QSP�[4T¾[W;>Ý8Ù J:TY?^P]�ÝUÕÈ[d;:QSRUTY?ÂZPõD=^JjÙ TS;:?Úßd�>àØè;:× P <ê6`�`õD=^JjÙ TY;>?�ß?�>à¢Ö�J:?�?@;jáãÝIP|[d;:QSR:P�]�Øè;:× QbÃBDÙdc@P�?@PáãR�J:QS=@P ;vØÃÙdc@P�XÃJvA>× J:?@A:PH�=@QYÙ TYÞ^QYTSP× [�6Ça©c@T¾["Ö�;:HZÞ@QSP\Ù P[|Ùdc^P�Ö\;:HZÞ^=8Ù JvÙdTS;:?É;vØ©Ùdc@P�üWP�á©Ù ;:?Ü]8TS× PÖ�Ù TS;:?K6«a©c@T¾[Ý@QS;UÖlïÚP�QSTSHZTY?ÇJjÙdTS;>?¿HZP�Ùdc@;8]ÅA:TSR:P�[�Ùdc@PÊ[ JvHZP�ü Pá©Ùd;>?�]@TY× PÖ\ÙdTS;:?ÛJ:[�[d;:QSRUTS?@AÈÙ c@PQSJ:×dA>P [ÞÇJv×l[PW[dÕ8[�Ù P�HÁßºÿDàl6@a©cU=^[�B>Ù c@P�Ölc^;:T¾Ö\P ;:Ø«á4c@P\Ù c@P�×³Ù ;�]8;qÙdc@P�Ý@QS;8Ölï�PQYTSHZTS?^JvñÙdTS;:?�;:×<[d;:QSR:P¢Ùdc@PWQSJ:×dA>P`[dÕ8[�Ù P�H ]8TS× PÖ\ÙdQSÕ�T¾[+Þ@=@× P�QSÕ"J�QYTS?@P�Jv×+JvQSA:PÝ@×lJWõD=@P[ÙdTS;>?K6:a©c@P[Þ^J:× [dP4JvÞ@Þ^×d;DJ:ÖlcqcÇJ:[�ÝIP�P?§J>]8R:;8ÖJjÙdP�]qÝUÕ§N�c^JjÙdÙ J:[¢Jv?^]a�³TS×d;D[³ßèÙdc@T¾[�Þ^×d;8Ö\PP]8TS?@AD[ àJ:[|á`PQYQ&J:[|ÝUÕ�`P�ÙÙl[�ßèÙdc@T¾[�Þ@× ;UÖ�P�P�]8TS?@A>[làl6^û�?ÊÙdc@P§[dÞ^Jv×l[P�JvÞ@Þ^×d;DJ:ÖlcKB@Ù c@P§[P?^[TYÙ TYRDñTÆÙ TSP[�Jv× PZ?@;:Ùq×dP�õD=@TS×dP�]ÉJ:?^]¿Ùdc@P!F P[ [dTSJ:?É;:Ø©Ùdc@P1XÃJvA>× J:?@A:T¾J:?ÊÖ�J:?¿ÝIP!Ö�;:HZÞ@=@ÙdP]ÝDÕ�[dPÖ\;>?^]�]8TYGIP×dP?^Ö\P�[4;vØ�eãTYÙl[PQÆØ�B8Øè;>×WP�÷8J:HZÞ@QSPv6@ë²Þ^×dP�Ö\;:?Ç]8TYÙdTS;:?@TS?@A�HZP\Ù c@;8]%Øè;>×Ùdc@P�Øè=@QSQ+H�JjÙd× TY÷!Ý^J>[P�]�;:?¿J^�©_}NU!ÈP[ÙdTSH�JjÙ P";vØ�Ù c@P§×dP�]8=^Ö�P]ÈFWP[ [T¾Jv?�cÇJ:[|ÝÇPP�?TYHZÞ^QYPHZP�?DÙdP�]�ÝDÕW�³TS×d;D[¢J:?^]!N�c^JvÙÙlJ:[�â äjæ·6@a©c@T¾[³[�Ù × JvÙdP�A>Õ§á4TYQSQÇ;:?@QSÕ§[=^ÖÖ\PP]�TYØ«Ù c@PQSJ:×dA>P<QSTS?@PJ:×}[dÕU[ÙdPH Ö�J:?qÝIP4[;>QYR>P]�[d=@Ý8ú�P�Ö�Ù+Ùd;�Jv?UÕMTS?@PõD=^J:QSTÆÙ�ÕMÖ\;>?^[Ùd×lJvTS?DÙ [�6û�?§Jv?UÕü P�á©Ù ;:?ÉHZP\Ùdc^;U]�Øè;:×M[;>QYRUTS?@A§?@;>?@QSTY?^PJv×|[Õ8[ÙdP�H�[W;vØ<P�õ>=ÇJjÙdTS;>?^[WJ:?^]�TS?ÈHZ;>[Ù|;>Þ8ñÙdTSHZTSøJjÙ TS;:?§HZP\Ù c@;8]@[\B^[d;:HZPWØè;:× H';vØ+[�Ù P�Þ�QSP�?@A:Ùdc1Ö\;:?DÙ ×d;>QIT¾[³× PõD=@TS×dP�]§Ùd;Z[Ù J:Ý@TSQYTSøPÙdc@PMJvQSA:;>×dTYÙ c@H�61!DÙ J:Ý@TSQYTSø�JjÙdTS;>?�[Ùd×lJjÙdPA:TSP[¢Ö�Jv?%× J:?@A:PWJ:QSQ@Ùdc^P|á©J�ÕqØè× ;:H [dTSHZÞ@QSP4QYTS?@P[P�Jv×lÖlc@P["Ùd;À[;>Þ@c@T¾[�Ù T¾Ö�JjÙ P]ÉÙd× =^[Ù�× P�A>TS;:?ÀHZP\Ù c@;8]@[\6<a©c@P�[P1[�Ù × JvÙdPA:TSP["J:×dP1Ö�J:QYQSP�]A:QS;:Ý^J:QSTYø�JjÙ TY;>?^[³Jv?^]ÈÖJv?ÈcÇJ�R:P�J!]8×lJvH�JjÙ T¾ÖMTYHZÞÇJ:Ö�Ù|;:?ÊÖ�;:?UR:P×dA>P�?^Ö�P"J:[�]8T¾[dÖ�=^[d[dP]TY?�[dPÖ�Ù TS;:?¯�86�)�=° ±²¦ª®G³G�1¦`®l´)µ�¢j�1¦¶¬�¦ª«#G�]®a©c@PWXÃJ:A:×lJv?@A>P4ü P�á©Ù ;:?ZHZP�Ùdc@;8]�H�Jvï>P[+?@;qJ>[d[d=@HZÞ8Ù TS;:?^[+JvÝI;:=@Ù<Ùdc@P|×dP�[T¾]8=ÇJvQ¾[«Øè;>×Ùdc@PW[Ù JvÙdP P�õD=^JjÙ TY;>?^[+P\÷@Ö�P�Þ8Ù`JvÙ¢Ö\;>?DR>P�× A:P?^Ö\P:6:a©c@T¾[�T¾[&ÙdTSP]§=@ÞZTS?�Ùdc^P TS?>Ù ×d;8]8=ÇÖ�ÙdTS;>?Jv?^]!=@Þz]@JjÙ TY?Â�;:Ø«Ùdc@P�X}JvA:×lJv?Â:PWH�=@QYÙdTSÞ@QSTSP�×l[�6�ûªØ}Ùdc@P"[Ù JvÙdP�PõD=^JvÙdTS;:?^[³Jv× PM[;>QYRjJ:Ý@QSPØè;:×�< Øè;>×�J:QYQ¢×dP�J:[d;:?^J:Ý@QSP�RjJ:QY=^P[�;:Øc>ÃB&;:?@P%ÖJv?êTSHZÞ@QST¾Ö\TYÙdQSÕ1P�QSTSHZTS?^JjÙ PqÙ c@P![Ù JvÙdPR�J:×dT¾J:Ý@QSP[WØè×d;>HÁÙdc@P�Øè;:× H�=@Q¾JvÙdTS;:?ÈJ:?^]¿HZP�× P�QSÕ�HZTY?^TYHZTSøPqJ:[�J!Øè=@?^Ö\ÙdTS;:?À;:Ø|>êÙ c@P;:Ý8ú�P�Ö�ÙdTSR>P�TIß=<Úß?>zà74B>Kàl6«û�?¿Ùdc^TS[|Øè;>×dH�=@Q¾JjÙ TY;>?KB^Ù c@PZA:×lJ:]@TYP?DÙ|T¾[MA:TSR:P?ÈÝUÕÈPõD=^JvÙdTS;:?ßd�:à|Jv?Ç]�Ùdc^P§FWP[ [T¾J:?�TS[|A:TSR>P�?ÈÝUÕ�PõD=^JvÙdTS;:?Üßþ# Dà á4c@P×dPWbÉT¾[WA>TYR>P�?ÈÝUÕ�PõD=^JvÙdTS;:?


ßèåDà�68ûªÙ©T¾[³J:[ [=^HZP]�ÙdcÇJjÙc;Zß=<"49>zà 3 8B8T�6 P:6ÆBDÙdcÇJjÙh< T¾[`J:QSá³J�Õ8[�=@Þz]@JvÙdP]!á4c@P?@P�R>P�×J�?@Pá²RjJvQS=@P";:Ø�>ÉT¾[�Ö\;:?Ç[T¾]8P×dP�]!ÝUÕ1Ùdc^P�;>Þ8ÙdTSHZTSøJvÙdTS;:?1JvQSA:;>×dTYÙdc^H�6â©c@T¾[ × P]8=^Ö�P][Þ^J>Ö\PÈHZP�Ùdc@;8]�T¾[�Jê?^;:?@QSTS?@PJ:×§P�QSTSHZTY?ÇJjÙdTS;>?ÜHZP\Ù c@;8]ãJvÞ@Þ@QSTSP]ÚÙd;ÚÙdc@PÉXÃJvA>× J:?@A:Pü P�á©Ù ;:?�[Õ8[ÙdPH';vØ+PõD=^JvÙdTS;:?^[³Jv?Ç]%TYÙ [³ÞIP�×dØè;:× H�Jv?^Ö�PWá4TSQSQzÝÇP�Þ@× ;:Ý^QYPH ]8P�ÞIP�?^]@P�?DÙJ:[4]8T¾[ Ö\=^[ [P�]�ÝIP�QS;jáM6�)�·� ¡S¢j£,¤Z¢j¥G£[¦§"¦ª©�«��i¥w¬�¦ª«��]®J¸º¹=«��[³�«�¬�³G�=«�¹=µ��?¹d¦�¤Z»ûªÙ!T¾[ZÞI;>[ [TSÝ@QSP1Ùd;ÚÖ�;:?^[Ùd× =^Ö\Ù!JÜ[dTYHZÞ^QYTYí^P�]ÜXÃJ:A:×lJv?@A>P�ü P�á©Ù ;:?½HZP�Ùdc@;8]Ûá4TYÙdc@;>=8ÙP\÷8Þ@QST¾Ö\TYÙdQSÕ!Ö�;:HZÞ@=@ÙdTS?@A%;>×M=@ÞI]^JjÙdTS?@A!Ùdc^P�XÃJvA>× J:?@A:PqH�=@QYÙ TYÞ^QYTSP× [©ÝUÕÈ=^[dTS?@A�Ö\P�×dÙ J:TS?[TSHZÞ@QSTYØèÕUTY?ÂMJ>[d[d=@HZÞ8Ù TS;:?^[�6D_&TS× [Ù�B@J>[d[d=@HZP Ù c^JjÙ4Ù c@P�[P?^[dTÆÙ TSRDTYÙ TYP�[ ~ J:×dPMJ�RjJvTSQ¾JvÝ@QSP:6!UPÖ�;:?^]zBÇTÆØ�;��49;G��,4C;��_��BÇJ:?^]²;G�_�%ÖJv?�ÝÇP�?^P�A:QSP�Ö�ÙdP�]zBUÙdc@P�F P[ [dTSJ:?%H�JvÙd× TÆ÷��Ö�Jv?�ÝIPÈÖ\;>HZÞ@=8ÙdP�]Úá4TYÙ c@;:=8Ù�× P\ØèP×dP?^Ö\P1Ù ;mbK6à©c^TS[§á³;:=^QS]ÅÝIP�Ùdc@PÊÖJ:[dPvB�Øè;>×ZP\÷UñJvHZÞ@QSPvB«TYØ©Ùdc^P%[�ÙlJjÙ P�PõD=^JvÙdTS;:?^[Má³P�× PZQSTS?@PJ:×�;>×q?@P�Jv× QSÕÈQSTY?^PJv×MTS?ÀÝÇ;:ÙdcêÙ c@P%[Ù JvÙdPJv?^]ÀÖ\;>?DÙd× ;:Q�RjJv× T¾JvÝ@QSP[�6Ka©c@P�[P�Ö\;>?^]ÀJv?^]ÉÙdc^TY×l]ÉÙdP×dH�[MTS?¿PõD=^JjÙ TS;:?�ß�þ:þ�àMÖ�J:?ÉÝIP?@P�A>QYP�Ö�Ù P]È]8PA:×lJ:]8TS?@A�Ö�;:?UR:P×dA>P�?^Ö�PMØè×d;>H õD=^J:]8×lJjÙ T¾Ö�Ùd;!Ù�á`;1[�Ù P�ÞÉ[d=@ÞIP�× QSTY?^PJv×6^û�?Jv?UÕ�Ö�J>[P:BUTYØÃ;>=@×©A:QS;:ÝÇJvQSTSøJjÙ TS;:?qJ:QYá©J�Õ8[¢ÖJv=^[dP[�;�Ù ;�ÝIPM?@PJ:×`øP�× ;@BUÙdc^P|Ù P�× H�[`ÖJv?ÝÇP"?^P�A:QSP�Ö�ÙdP�]z6@û�?�P�TYÙdc^P�× Ö�J>[P:Bi: ]8;UP[4?@;:ÙWP\÷8Þ@QST¾Ö\TYÙ QYÕ�× PõD=@TS×dPMÖ\;>HZÞ@=8ÙlJjÙdTS;>?%;vØ�b«6ü ;já PõD=^JjÙ TS;:?^[§ßz�:à�Jv?Ç]Ûßd�>à�Ö�;:?^[ÙdTYÙ =8ÙdPZJ�ü Pá©Ùd;>?êQYTSï>PqHZP\Ù c@;8]ÉÙdc^JvÙ�]8;UP[�?^;vÙ×dP�õ>=^TY× P Ù c@P�P\÷8Þ@QST¾Ö\TYÙ©Ö\;:HZÞ^=8Ù JvÙdTS;:?�;>×4=@Þz]@JjÙ TY?Â�;:Ø}Ù c@P�XÃJvA>× J:?@A:P|H�=^QÆÙ TSÞ@QSTYP× [�6:û�?a4L ëWü|ë û�LMB8á³PW[=^Ý^[�Ù TYÙd=8Ù P|J�HZ;>×dP4A>QY;>Ý^JvQ8?^;:?@QSTS?@PJ:×�Þ@× ;:A:×lJvH Øè;:×¢Ùdc@P�õ>=ÇJ:]8×lJjÙ TSÖÞ@×d;>A:×lJvH�Jv?^]Ê?@P�R>P�×�P\÷8Þ@QST¾Ö\TYÙdQSÕ%Ö�;:HZÞ@=@ÙdPa�ÀB«JvQSQS;já4TY?Â�J:?Ê;:Þ@ÙdTSHZTSøJjÙ TS;:?�Ö\;8]8P�Ùd;A:P�?^P�×lJjÙdP4J:?�J:Þ@Þ@× ;�÷UTSH�JvÙdTS;:?�=^[dTS?@A¼�³_&NU!I6:ûªÙ¢T¾[�J:?�;>ÞÇP?§õD=@P�[�Ù TS;:?�á4c@P\Ù c@P�×�Ù c@P[dP[TSHZÞ@QSTYØèÕUTY?Â�J:[ [d=@HZÞ8ÙdTS;>?^[³TY?ÇÖ\× PJ:[dP�Ùdc@P�TSHZÞÇ;>×ÙlJv?^Ö�P�;:Ø�A:QS;:Ý^J:QSTYø�JjÙ TY;>?K6UV`P×ÙlJvTS?@QSÕvBá4TÆÙ c@;:=@Ù|H�=@QYÙdTSÞ@QSTSP�×©P[ÙdTSH�JjÙ P[�B^TYÙ|T¾[�]8TYòZÖ�=@QYÙ Ùd;1[PP�c^;já�Ùd;%TSHZÞ@QSPHZP�?DÙ©Ùdc@P�Øè=@QSQXÃJvA>× J:?@A:P1ü Pá©Ùd;:?ÛHZP\Ù c@;8]z6¢a©c@T¾[§T¾[§J¿õD=@P�[�Ù TS;:?ÜÙ c^JjÙ%]@P[dP�× R:P[qØè=@×dÙdc@P×%[Ùd=^]8Õ:6!UTS?^Ö\PMÙ c@PqõD=@P[ÙdTS;>?1T¾[©TS?^]8PÞÇP?^]8P?>Ù|;vØ+Ùdc@PqQYTS?@P�Jv×4JvQSA>P�Ý@×lJq× PõD=@TS× P]%Ùd;%[d;:QSR>P|Ù c@PXÃJvA>× J:?@A:P�ü Pá©Ùd;:?�[dÕU[ÙdPH�BUÙdc@P"õD=@P�[�Ù TY;>?%T¾[³HZ;>[Ù³?ÇJjÙd=^× J:QYQSÕZ[Ùd=^]8TSP�]�TS?%Ù c@P"Ö\;>?8ñÙdP\÷UÙ©;vØÃJ�×dP�]8=^Ö�P]ZHZP�Ùdc@;8]�J>[¢A>TYR>P�?§ÝUÕZPõD=^JvÙdTS;:?^[Wßz�và�B«ß?�>à�B@Jv?^]Èßd�>à�6DCÀPM[=@A>A:P�[�ÙJv?½J:]@R�J:?DÙ JvA>P�;vØMÙdc@P¿[P?^[dTÆÙ TSRDTYÙ�ÕÀØè;>×dH ;jR:P�×�J:?½J:]�ú�;>TS?>ÙZØè;>×dH ;vØMÙ c@PÈ× P]8=^Ö�P]A:×lJ:]8TSP�?DÙ³TY?!Ùdc^P�?@P\÷UÙW[dPÖ�Ù TS;:?K6½ ¾¶¿sÀsÁ�À�Ì�¿ÃÂ©Ð��ÒWÎUÔÐ<ÍÄÀãÑc G&WÎ8Ô�ÅS�Æ�Ç�KÎ��WÐ4ÑV`=@×d× P�?DÙ QYÕ:B8TY?�a4L ë|üWëWû�LEJ§R�J:×dT¾J:?>Ù©;vØ&Ùdc^PqXÃJ:A:×lJv?@A>P|ü Pá©Ùd;>?�HZP\Ùdc^;U]!á4TYÙdc@;>=8ÙH�=@QYÙ TYÞ^QYTSP× [�T¾[�TYHZÞ^QYPHZP�?DÙdP�]z6ÃûªØWá³P1QYP�Ù§[d=@ÞIP�×l[dÖ�×dTSÞ8Ùl[q]8P?@;vÙ P1Ùdc@P1A:× T¾]ê?U=@H�ÝIP�×BÙdc@T¾[©HZP\Ù c@;8]!ÖJv?1ÝÇP"]@P[ Ö\× TYÝIP]1J:[³Øè;>QSQY;já [6uþv6WN�TSR:P�?ÚÙdc@P�TS?@TYÙdT¾J:Q`]8P�[TSA:?ÚR�J:×dT¾J:Ý@QSP[U> @ Jv?^]ÅJv?ÚTS?@TYÙ TSJ:Q¢A>=@P[ [�Øè;:×�Ùdc@P�[Ù JvÙdPRjJv× TSJ:Ý@QSP[ Q< �

äU6 _@;>×4PJ:Ölc1A:× T¾] 2]3 þ�4lä�465#5657498¨:�ußºJ>à!5|TS[ Ö\× P\Ù TSø�P|Ùdc@P"[Ù JvÙdPMPõD=^JvÙdTS;:?^[MßèÙdc@PMî^;já PõD=^JvÙdTS;:?^[là¢;:?1A:× TS] 2 6ßèÝÇà�!U;>QYR>P+Ùdc@T¾[}]8T¾[dÖ�×dP�ÙdP<Þ@× ;:Ý^QYPH�; � ß?< � 4B> � à 3 WJvÞ@Þ@× ;�÷8TSH�JjÙdPQSÕ`Øè;>×�< � =Ç[TS?@A

TS?@TYÙdT¾JvQIRjJvQS=@P�[³]@P�× TYR>P]�Øè×d;>H Q< � t @ Jv?^]1Ö�J:QSÖ�=@Q¾JjÙ P Ùdc^P"[P?^[TYÙ TYRUTYÙdTSP�[ ~ 6


ß·Öà�!U;>QYR>P¿Ùdc@PÜ;>Þ8ÙdTSHZTSøJvÙdTS;:?½[d=@Ý@Þ^×d;>Ý@QSP�H ]8T¾[ Ö\=^[ [dP] ÝÇPQY;já�Øè;:× P > � 6�V`;>?8ñ[Ùd×lJvTS?DÙ [};:?�P�TYÙdc@P×&î^;jáÜ;:×�]8P�[TSA>?"RjJv× TSJ:Ý@QSP[}Ö�Jv?�ÝIP©J:Þ@Þ@QSTSP]"JvÙ+Ùdc@T¾[+[�ÙlJvA>Pv6

ßº]^à15|P\ÙdP×dHZTS?@PMÙ c@Pq[ÙdPÞ@QSP�?@A:Ùdc"È � =^[TS?@AZ[d;:HZP�A>QY;>Ý^JvQSTSøJvÙdTS;:?§Þ@× ;8Ö\P�]8=@× P"Jv?^]=@Þz]@JjÙ PMÙdc@P"]@P[dTYA>?%RjJv× T¾JvÝ@QSP�[\B`> �ÊÉ @ 3 > � fËÈ � P > � 6

ßºP�à1ð Þz]@JvÙdP�Ùdc@P�î^;já�RjJv× TSJ:Ý@QSP[©ÝUÕ�[;>QSRDTS?@A§P�õ>=ÇJjÙdTS;>?Üß?�>àWJ:[ [=^HZTY?Âa; � 3 @BT�6 P:6ÆB Q< � 3 < � f�È � ßd; �� à t @ ; �� P > � 6©a©c@PÈA>QY;>Ý^JvQSTSøJvÙdTS;:?êÞ^×d;8Ö\P�]8=@× P[�]@TS[ñÖ\=Ç[d[dP]1ÝIP�QS;já½TS?1[dPÖ\ÙdTS;:?��H�J�ÕZA:TSR:PM]8TYGIP×dP?DÙ³RjJvQS=@P�[³;vØ Q< � 6

ßèØ à��¢[ÙdTSH�JvÙdP Ù c@P"]8T¾[ Ö\× P\ÙdTSø�JjÙdTS;>?ZP�× ×d;>×³=Ç[TS?@A Q< � 6ßèADà!ðW[dPMÙdc^P�P�× ×d;>×³P�[�Ù TSH�JjÙdPWÙd;�]8P�ÙdP×dHZTS?@P|A:× TS] 2 fãþ�J:?^]1A:;�Ùd;ÈßºJDà©JvÝI;jR:P:6

ù86 L4P�QS;:Ø¾Ù³Ù c@P"A>P�;:HZP�Ùd× Õ§=^[TS?@A�Ù c@PMí^?^J:Q«RjJvQS=@PM;vØ&Ùdc@P"]@P[dTYA>?%Þ^J:× J:HZP\Ù P�×l[S>)Ì|Í³65WP�ÙdP×dHZTS?@P³Ùdc^PW?@PáÛRjJ:QY=^P[+;vØzÙ c@P|]8P�[TSA>?�RjJv× T¾JvÝ@QSP�[�>}6:ûªØKÙ c@P4í^?^J:Q@Ù × J:?^[Þ^TY×lJjñÙdTS;:?¯K.Ì|Í4ß=<ÎÌSÍ|49>�Ì|Í<à³T¾[©?@;:ÙW[=8ò�Ö�TYP?DÙdQSÕ�[H�J:QSQI;>×4TYØÃÙdc^P"]8P[dTSA:?�[Þ^J>Ö\PMá©J:[Ölc^Jv?Â:P]KB@A:;�Ùd;�[ÙdP�ÞÀþ�JvÝI;jR:P:6a©c@P ;:=@ÙdP�×`QS;D;>Þ�ßº[ÙdP�Þ!ù>à+P?^JvÝ@QSP�[<Ö\;>?DR>P�× A:P?^Ö\P³Ùd;"Ùdc@P�[;>QY=@ÙdTS;:?�;vØKÙ c@PWÖ\;>?DÙdTS?8ñ

=@;:=^[©]8P�[TSA>?ZÞ@×d;>Ý@QSP�H á4TYÙdc1[;>HZP QSP�R:PQÇ;:Ø}Jv×dÙdTYíÇÖ�T¾JvQ^]8T¾[ [TSÞ^JvÙdTS;:?«6>a©c@T¾[¢;>=8ÙdP×`QS;U;:ÞTY?UR>;:QSR:P�[«× P�QS;vØ¾Ù TY?Â Ùdc^P A:P;:HZP\Ù ×dÕZß·J:Ö�Ù =^JvQSQSÕ�HZ;jRUTS?@A4Ùdc^PW[=^×ØºJ>Ö\P�à�B:]8;:TS?@AMJ�[d=@×ØºJ>Ö\P]8T¾[dÖ�×dP�ÙdTSøJvÙdTS;:?Èß·Ö�JvQSQSP]�Þ^Jv?@PQSTY?ÂDàlB@J:?^]!Ùdc@P?1× P]@P[dTYA>?@TS?@A"=@?DÙ TYQzÙ c@PMÙd×lJv?Ç[Þ@TS×lJjÙ TY;>?P�× ×d;>×<ÝÇP�Ö\;>HZP[<TS?^[dTSA:?@TYíÇÖJv?DÙ�6jû�?!;:=@×`P\÷8ÞÇP×dTSP?^Ö\P:BDÖ\;>?UR:P�× A:P?^Ö\P©;:ØKÙdc@T¾[`;:=8Ù P�×¢QS;U;:Þc^J:[qÙ J:ï:P�?ÜJvÙ�HZ;D[�ÙqÙ�á`;È× P�QS;:Ø¾Ù [";:Ø4Ùdc@P1A:P;:HZP�Ùd× Õv6G!DÙ P�ÞÅäÊJvÝI;jR:P�T¾[�Jv?ÜTS?@P�÷8J>Ö�Ùü P�á©Ù ;:?ÉHZP\Ùdc^;U]Åâ ��æ+Øè;:×�[;>QSRDTS?@A§Ù c@P§?@PÖ�P[ [dJ:×dÕ�Ö\;>?^]8TYÙdTS;>?^[4Øè;>×|;>Þ8ÙdTSH�JvQSTYÙ�Õ�;>?ÉJí@÷8P]ÈA>×dT¾]�J:?^]ÊJ:QYQS;já [³Ù c@P§TY?ÇÖ\;:× ÞI;:×lJjÙdTS;>?!;:Ø`[;>QS=8ÙdTS;:?�J>]@JvÞ8Ù TSRDTYÙ�Õ!TY?DÙ ;�Ùdc^P�;>Þ8ÙdTYñHZTYø�JjÙ TY;>?�Þ^×d;8Ö\P�[d[�6ª�³PQY;jáÛá³P|]8P�[dÖ�×dTSÝIP4Ùdc@P|RjJv× TY;>=^[<J:Þ@Þ@× ;�÷UTSH�JvÙdTS;:?^[}=^[dP]§Øè;>×¢Ù c@P×dP�]8=^Ö\P�]%A>× J>]8TSP�?DÙ4Jv?^]1F P�[d[dT¾Jv?K6!DÙdPÞÉä@ßºÝÇà4T¾[4?@;:Ù�[Ùd× T¾Ö�ÙdQSÕ�?^P�P]@P]�Øè;>× Ùdc^P�[d;:QS=8ÙdTS;>?!;:Ø<PõD=^JjÙ TS;:?^[�ß��và J:?^]Üßd�>àÝ@=8Ù ]8;UP[³P�?ÇJvÝ@QSPW]8× ;:Þ^Þ@TS?@A"Ù c@P�;Zß?<"4B>Kà¢×dTSA:cDÙ¢cÇJv?^]![T¾]8PWØè×d;>H PõD=^JjÙ TS;:?Êßd�>à`Jv?^]]8×d;>Þ@Þ@TS?@A¿Ùdc^PÊQ¾J:[ÙZÙ�á`;ÀÙ P�× H�[ZTS?�PõD=^JjÙ TS;:?Eß�þ>þ�à�Øè;>×^:�6©FW;já`PR:P×�B¢J>[�ÞI;:TS?DÙdP];:=8ÙWJ:ÝÇ;jR>PvB8TYØ&TYÙ4T¾[©?@;vÙ Ö�J:×d× TSP]%;:=8ÙB^TYÙ©HZTSA>c>Ù©ÝIP"J:]8RUT¾[dJ:Ý@QSP Ù ;�TS?^Ö�QS=^]8PMXÃJvA>× J:?@A:PH�=@QYÙ TYÞ^QYTSP×�=@ÞI]^JjÙdP�[�TY?ÚÙdc@P�HZP�Ùdc@;8]ÚJ:?^]ÅTY?ÇÖ\QS=^]8P%Ùdc@P�J:]^]8TYÙdTS;:?^J:Q<Ù P�× H�[qTS?Ú;>=@×Ö�JvQ¾Ö�=@Q¾JjÙdTS;>?�;:Ø�: J:?^]^�ê6^_@;:×©c@TSA>c@QSÕ�?@;>?@QSTS?@PJ:×<î^;já½× P�A>TSHZP[�B>[�Ù P�Þ�ä@ßºÝÇà`H�J�Õ�ÝIP?@PÖ�P[ [dJ:×dÕÈTS?ÀJv?UÕÉÖJ:[dP§Ùd;�Þ@× P�R>P�?DÙq]8TSR:P×dA>P�?^Ö�P�J>[�]8T¾[dÖ�=^[ [P�]ÊTS?ê[P�Ö�Ù TY;>?Ï�86G!DÙ P�Þä@ßºÖ�à�JvÝI;jR:PZ× PõD=@TS× P[MQSTS?@PJ:×dTSø�JjÙdTS;>?�;vØ Jv?UÕÈîÇ;jáý;>×�]8P�[TSA:?ÀÖ\;>?^[Ùd×lJvTS?DÙ [�B�Ðvß=<"49>zà�6ëW[ [=@HZTS?@A�Ù c^JjÙqÙdc@P�[P?^[dTÆÙ TSRDTYÙ TYP�[ k < X Y k >,�%Jv× PZïU?@;já4?KBÃÙ c@T¾["T¾[q]@;:?@P�=Ç[TS?@A�Ù c@P×dP�]8=^Ö\P�]%A>× J>]8TSP�?DÙ³Øè;:× H�=@Q¾J�A>TSR:P�?!TS?!P�õ>=ÇJjÙdTS;>?Éßd�>àCuk Ðk > � 3 V�ÐV[> � f F�\E��@ V[ÐV[<�\ k < \k > � ß�þ�ù>à

ë Þ@Þ@× ;�÷8TSH�JjÙdP"FWP[ [T¾J:?ÈTS?8Øè;:× H�JjÙ TY;>?�Ö�Jv?ÉÝÇP§TS?DÙd× ;8]8=^Ö\P�]�TS?É[dP�R>P�×lJvQ&á³J�Õ8[�6Iû�?Ùdc@P�Ö�J:[dP4;vØ«J�QSP�J:[Ù¢[dõD=^J:×dP�[�;:Ý8ú�P�Ö�Ù TYR>P³Øè=@?^Ö�Ù TS;:?Èßº[dP�P|[P�Ö�ÙdTS;>?W�86 å�ÝIP�QS;jáWà�BvÙdc@P|?@;:×dñH�JvQKH�JjÙ ×dTY÷�TS?UR:;>QYR>P[¢;:?@QSÕZÙ c@Pq[dP�?^[dTYÙdTSRUTÆÙ TSP[�6DðW[dTS?@A�Ùdc@T¾[4H�JvÙd× TY÷�Ù ;%JvÞ^Þ@×d;�÷8TSH�JjÙ PÙdc@PWFWP[ [T¾J:?qA:TSR>P[&×dT¾[dP³Ùd;"JMQSTS?@PJ:×}QSPJ>[�Ù<[ õD=^Jv× P[+Þ@× ;:Ý^QYPH�6�a©c^TS[+HZP�Ùdc@;8]�T¾[�Ö�J:QYQSP�]Ùdc@PÊNMJ:=^[d[ñ�ü P�á©Ù ;:?ÛHZP\Ù c@;8]ÅJ:?^]�]8P\ÙlJvTSQ¾[�J:×dP�A:TSR>P�?ÚTS?�â¨þ>þvBjþÿvæ·6¢a©c^P1× P[d=@QYÙdTS?@AQYP�J:[Ùq[dõD=^J:×dP�["Þ@× ;:Ý^QYPH�T¾["Ö�=@×d× P�?DÙ QYÕ¿[;>QSR:P]¿á4TYÙdcÀÙ c@P%ÞÇJ:ÖlïjJvA>P�X�!j!^ç�Xýâ¨þ�ùjæ�6}û�?Ùdc@P�Ö�J>[P1;vØMJ¿?@;:?8ñªQSPJ>[�Ùdñª[ õD=^Jv× P[�;>Ý8ú�PÖ\ÙdTSR:P%Øè=@?^Ö\ÙdTS;:?KB+Ù c@P�õ>=ÇJ:]8×lJjÙ TSÖ%Þ@× ;:A:×lJvH§ñHZTY?Â�J:Þ@Þ@× ;>J:Ölc1A:TSR>P�?%ÝUÕ!PõD=^JjÙ TS;:?^[Mßz�:àlB¾ß?�DàlBIJ:?^]Àß?�Dà³TS[©?^;vÙ4Øè=@QSQSÕ�TSHZÞ@QSP�HZP?>Ù P]z6


û�?^[�Ù PJ>]zBDJ:?�JvÞ@Þ@× ;�÷8TSH�JjÙdP`;:Þ8Ù TSHZTYø�JjÙ TY;>?"Þ@× ;:Ý@QSPH T¾[<[d;:QSR:P�]qá4c@T¾ÖlcZJ:[ [d=@HZP[�J�QSTS?8ñPJv× TSø�P�]Zî^;já R:P�QS;8Ö\TYÙ�Õ�Ñ�68CÀP"J:[ [=@HZP|ÙdcÇJjÙ�T�]8PÞÇP?^]@[4;>?%Ù c@PMî^;já ;:?@QSÕZÙ c@×d;>=@A:cÑ¿J:?^]!J>Ö�Ù =^JvQSQSÕ§HZTY?^TYHZTSøP©Ùdc@PMØè=@?ÇÖ�ÙdTS;>?ÒÀA:TSR:P?%ÝUÕÒ`ß=>Kà 3 T²q�Ñ � fìß=> o > � à k Ñk > 4B> r ß�þåDà

á4c@P�× P k Ñ�Y k >%T¾[¢Ö�;:HZÞ@=@ÙdP]�=^[TS?@A�P�õD=^JjÙ TY;>?Èß�þ�ù>àl68a©c@P|A:×lJ:]8TSP�?DÙ<;:ØGÒÊJvÙS> � T¾[�Ù c@P[dJ:HZP©J>[�Ù c@P A:×lJ:]@TYP?DÙ+;:Ø]T@6UF ;já³P�R:P×�BjÙ c@PWFWP[ [T¾Jv?§;:Ø�ÒÈT¾[+A:TSR:P?§ÝDÕqÙdc@PWí^×l[�Ù�Øè;>=@×ÙdP�× H�[<;:Ø«PõD=^JvÙdTS;:?Èßþ# >à�6Da©c@P�HZTS?@TSHZTSøJjÙ TS;:?�T¾[¢Ö�=@×d× P�?DÙ QYÕ�J:ÖÖ\;:HZÞ^QYT¾[dc@P]qÝUÕ�=Ç[TS?@AÙdc@P�;:Þ@ÙdTSHZTSøJjÙ TS;:?ÀÞ^J:ÖlïjJ:A:P!ü|7S!^ç�X âÆþ�åvæ�6n!UTS?^Ö\PÒ T¾[�TY?^P\÷8ÞÇP?^[dTYR>P�Ù ;ÉPR�J:QS=^JjÙ PvBA:×lJ:]8TSP�?DÙl[qÖ�J:?ÚÝIP�Ö\;:HZÞ^=8ÙdP�]ÜÝUÕÀí^?@TYÙdP�]8TYGzP�× P�?^Ö�P[�6+a©c@P1× P[d=@QYÙ�T¾[�Ùdc^JvÙZ[dPÖ�;:?^];:×l]8P�×"TS?8Øè;>×dH�JvÙdTS;:?¿Ö\;>×d× P[dÞÇ;>?^]8TS?@A1Ùd;ÊÙdc@P%í^×l[�Ù"Øè;>=@×�ÙdP�× H�[�;:Ø PõD=^JjÙ TS;:?ãß�þ� >àMT¾[A:P�?^P�×lJjÙdP�]qTSHZÞ@QST¾Ö\TYÙ QYÕWTY?§JU�©_}NU!�=@Þz]@JjÙ P [�Ù × JvÙdPA:Õ�Øè;>×�á4c@T¾ÖlcqÙ c@P4P�RjJvQS=^JvÙdTS;:?Ç[}J:×dPR:P�× Õ%TS?@P�÷8ÞÇP?^[TSR>PMJ:QSQY;já4TS?@A�JZQ¾Jv× A:PM?U=@H�ÝÇP× ;vØ�TYÙdP× JvÙdTS;:?^[`Øè;>×WPJ>Ölc�[=@Ý^Þ@×d;>Ý@QSP�H�6a©c@PWíÇ?^JvQzJ:Ö\ÙdTSR:PW[dP\Ù©Jv?^]�Ùdc@P¼�©_}NU!ZJ:Þ@Þ@× ;�÷8TYH�JvÙdTS;:?qÙd;qÙdc@P�×dP�]8=^Ö�P]�FWP[ [T¾Jv?§Øè;>×Ùdc@P"[d=@Ý@Þ@× ;:Ý^QYPH'Ö�J:?!ÝIP"[dJ�R>P]�Ùd;ZTS?@TYÙdT¾JvQSTSø�P©Ù c@P�;:Þ@ÙdTSHZTSøJjÙ TS;:?§;:?!Ùdc@P�?^P\÷UÙ A:× T¾]z6Ó]�z� Ô²�?£[�,¤Z¹=«��Õm¹?�WÖ6»�»�³�¦`»a©c@P¢[Ùd;:×lJvA>P&Øè;:×«Ù c@P¢[dP�?^[dTYÙdTSRUTYÙdTSP[ÇHZTSA:cDÙ«[PP�H�JjÙ«í^×l[ÙÃA:Q¾Jv?ÇÖ\P&Ùd; ÝIP<Þ@× ;:c^TYÝ^TÆÙ TSR:P«Øè;>×QSJ:×dA>P|?U=@H�ÝIP�×l[`;:Ø+]@P[dTYA>?%RjJv× T¾JvÝ@QSP�[\68F ;já³P�R>P�×BUHZ;D[�Ù J:P�× ;U]@ÕD?ÇJvHZT¾Ö4;:Þ@ÙdTSHZTSøJjÙ TS;:?Þ@×d;>Ý@QSP�H�[}TS?DR>;:QSR:P¢;:Ý8ú�P�Ö�ÙdTSR>P`Øè=^?^Ö�Ù TY;>?^[�Jv?Ç]�Ö�;:?^[Ùd×lJvTS?DÙ [}ÙdcÇJjÙ<;:?^QYÕ"]@P�ÞIP�?^]§;>?�Ù c@PR:P�QS;8Ö\TYÙ�Õ%JvÙWÞI;:TS?DÙ [4;>?�Ùdc@P�[=@×dØºJ:Ö�P";vØ�Ù c@PqÖ�;:?8í^A>=@×lJjÙdTS;>?K68C¿PqÙ J:ï:PqJ>]8RjJv?DÙ J:A:P�;vØÙdc@T¾[4ØºJ>Ö�Ù�ÝDÕ�[Ùd;>×dTS?@A k Ñ�Y k >É;>?@QSÕ�Øè;>×WÙ c@P[dP�[d=@×dØºJ:Ö\PqÞÇ;>TY?DÙl[\6za©c@P�Ö�;:HZÞ@=8ÙlJjÙ TY;>?^JvQÖ\;>[Ù�;:Ø4Ùdc@P�[dP�?^[dTYÙdTSRUTÆÙ TSP[MÖ�J:?ÜÝÇP�[d;:HZP�á4cÇJjÙ�J:HZP�QSTS;:×lJjÙdP�]ÈÝUÕÀ=^[dTY?^AÈÞ^Jv×lJvQSQSP�QST¾[dHJv?^]!ÝUÕ�Ùdc^P�=^[PM;:Ø&Ý@QS;8Ölï%NMOÈLc�|!¿â ä��æ�6C¿P|?@;já½Ö\;>HZHZP�?DÙ¢;:?�Ùdc@PMJ:]�ú�;>TS?>Ù¢Øè;:× H�=@Q¾JvÙdTS;:?�â¨þZ��æIØè;:×³;:Þ8Ù TSH�JvQ^Ö�;:?DÙd× ;:QIJv?^]

Ö\;:HZÞÇJv× P4TÆÙ¢Ùd;"Ù c@PM[P?^[TYÙ TYRUTYÙ�Õ"HZP�Ùdc@;8]z6Ua©c@P Ù�á³;qHZP�Ùdc@;8]@[`Jv× TS[dP©Øè× ;:H Ùdc@P|;:Ý^[dP�×dñR�JvÙdTS;:?�Ù c^JjÙ�Ùdc^P�H�JvÙd× TÆ÷1Þ@× ;U]@=^Ö�Ù�A:TSR:P?ÈJvÝI;jR:P"TS?ÈP�õ>=ÇJjÙdTS;>?Üßd�:à4Øè;:×|Ùdc@P�× P]8=^Ö�P]A:×lJ:]8TSP�?DÙ`ÖJv?!ÝÇP�Ö\;>HZÞ@=8Ù P]ZTS?�Ù�á³;�á³J�Õ8[�6>ûªØÃÙ c@PMH�=^QÆÙ TSÞ@QSTYP× [+J:×dPMÖ\;>HZÞ@=8ÙdP�]§í^×l[�ÙBÙdc@P�HZP�Ùdc@;8]¿T¾[�=^[d=^JvQSQSÕ�× P\ØèP�× × P]ÉÙd;ÈJ>["Jv?êJ:]jú�;:TS?DÙ"HZP\Ùdc^;U]K6}7�Jv×dÙdT¾JvQ�[dPÖ�;:?^]¿;:×dñ]8P�×�TY?@Øè;:× H�JjÙdTS;>?ÈT¾[�PJ>[TSQSÕÈJ�RjJvTSQ¾JvÝ@QSPqTS?¿Ùdc^P%[P?^[dTÆÙ TSRDTYÙ�Õ�HZP�Ùdc@;8]ÀTS?¿Ùdc@PZØè;>×dH*;vØÙdc@PZíÇ× [Ù"å�ÙdP×dH�[M;:Ø³P�õ>=ÇJjÙdTS;>?Ûßþ# >à�6Ãû�?ÀÙdc^P�J:]�ú�;>TY?DÙ�HZP\Ù c@;8]ÀJ:[�=^[d=^J:QYQSÕ�TSHZÞ@QSP\ñHZP�?DÙdP�]zB&?^;¿[dPÖ�;:?^]ê;>× ]@P�×�TY?@Øè;:× H�JjÙdTS;>?ÉT¾[�TYHZHZP�]8T¾JjÙ P�QSÕÈJ�RjJvTSQ¾JvÝ@TSQSTYÙ�Õ�J:?^]Ü[d;:HZPJ:Ö�Ö�P�QSP�×lJjÙ TS;:?È[Ùd×lJjÙdPA:ÕÊ[d=^ÖlcêJ:[U�©_&NU!ÊT¾[M=^[d=^J:QYQSÕ�× P�QSTSP]È;>?¿Ùd;�TSHZÞ@×d;jR>P�Ö�;:?UR:P×ñA:P�?ÇÖ\P§;jR:P×|Ù c@PZ×lJjÙdP§;:Ø©[ÙdPP�ÞIP[Ùq]8P[ Ö\P?>Ù6Ãû�?¿ØºJ:Ö\Ù�BÃTYØ³J!Øè=@QSQ¢üWP�á©Ù ;:?ÀHZP\Ù c@;8]ÊT¾[]8P[dTS×dP�]zBUÙdc@P"J:Þ@Þ^Jv× P�?DÙ4Ö\;D[�Ù J:]@R�J:?DÙ JvA>P|;:ØÃÙ c@P"J:]�ú�;>TS?>Ù©HZP\Ù c@;8]!]@TS[ JvÞ^ÞÇP�Jv×l[`[dTS?^Ö\PÙdc@P�×dP�]8=^Ö\P�]�F P[ [dTSJ:?"� ×dP�õ>=^TY× P[©ÝI;vÙ c¨bÊJ:?^] ~ 6z_@=@×dÙdc@P×�BIá4TYÙdc�Ùdc^Pq[P?^[dTÆÙ TSRDTYÙ�ÕHZP\Ùdc^;U]KB@QYTS?@P�Jv× TSøJjÙ TS;:?^[+;:Ø+J:QYQKÖ�;:?^[Ùd×lJvTS?DÙ [³Jv× P�J�R�J:TSQSJ:Ý@QSP4TSHZHZP]8T¾JjÙ P�QSÕv6C¿P�c^J�R>P1;>Ý^[dP�× R:P]Ú×dP�J:[d;:?^J:Ý@QSÕÉA>;U;U]ÛÖ\;>?UR:P�× A:P?^Ö\P!;vØ�;:=@×Z;>Þ8ÙdTSH�JvQ©Ö\;>?DÙd× ;:Q

HZP\Ùdc^;U]¿P�[ÞIPÖ�TSJ:QSQYÕ�Øè;>×"QSPJ>[�Ù"[ õ>=ÇJv× P[�;>Ý8ú�PÖ\ÙdTSR:P�[\6Ãa©c@T¾[MT¾[�Þ@× ;:ÝÇJvÝ@QSÕÊ]8=^PZÙd;�Ù c@PTYHZÞ^QYT¾Ö�TÆÙ`=^[PM;:Ø}Ù c@P�Þ^Jv×dÙdT¾J:QI[dPÖ�;:?^]!;:×l]8P�×4TS?8Øè;>×dH�JvÙdTS;:?�J�RjJ:TYQ¾J:Ý@QSP4TY?�J§[P?^[dTÆÙ TSRDTYÙ�ÕHZP\Ùdc^;U]K6&û�?ÅP�?@A>TY?^P�P�× TS?@A�Þ@×lJ:Ö\ÙdT¾Ö\P:B&a4L ë|üWë û�L0]8P[dTSA:?êT¾[�=^[=ÇJvQSQSÕÊ× =@?ÜØè;>×a��Ùd;þ# �]8P[dTSA:?�A>×dT¾]@[�ßèP�J:Ölc1á4TÆÙ c!J:?!;>Þ8ÙdTSHZTSøJvÙdTS;:?§[=^Ý@Þ@× ;:Ý@QSP�H%à�6`�³P�Ö�Jv=Ç[P�;vØ&P\ò�Ö\TSP�?DÙA:P�?^P�×lJjÙdTS;>?�;vØ�[P?^[dTÆÙ TSRDTYÙ TYP�[\B>Ùdc@PMÙ ;vÙlJvQ&V³7`ðEÖ\;>[Ù©Øè;:×4=@Þ�Ù ;§å� 1 §]8P�[TSA>?%RjJv× T¾JvÝ@QSP[

�l� ¼|yUxzy:ö&i¥DmDo:w:g ��yUt��¾y

TY?�Ùdc@× P�PM[ÞÇJ:Ö\PM]8TSHZP�?Ç[TS;:?Ç[+TS[`=^[d=^JvQSQSÕ�QYP�[d[¢ÙdcÇJv?�Ù c@PMÖ\;>[Ù©;vØ&ä1 qJv?ÇJvQSÕ8[P�[\6Ua©c@T¾[¢T¾[JjÙ QSPJ>[�Ù ä�;:×l]8P�×l[³;vØ}H�J:A:?@TYÙ =^]8P�QYP�[d[`Ù c^Jv?�Ö\;>HZÞ^Jv×lJvÝ^QYPWÝ@Q¾J:ÖlïZÝI;�÷%HZP\Ù c@;8]@[\6

F ;já³P�R:P×�BzÙ c@P�× PZJv× P§[ÙdTSQSQ<õD=@P[ÙdTS;>?^[MJvÝI;:=8Ù�Ù c@P�Ö\;>?DR>P�× A:P?^Ö\P�;vØ³Ùdc@PZHZP�Ùdc@;8]Þ^Jv×dÙdT¾Ö\=^QSJ:×dQSÕ¿TS?�ÖlcÇJvQSQSP�?@A>TY?ÂÊÖ�J>[P�[\6¢ûªÙ!á`;>=@Q¾]ÚÝIPÈ;vØMÞ^J:×Ù TSÖ�=@Q¾Jv×§TS?DÙdP�× P[Ù§Ùd;Ü]8P�ñÙdP�× HZTS?@P�Ùdc^PÉP�GIP�Ö�Ù�;:?ìÖ�;:?UR:P×dA>P�?^Ö�P�;vØ"TS?^Ö\QS=^]@TY?ÂÀÙdc@PÀÖ\=@× RjJjÙ =@×dPÊ;vØ�Ùdc^P¿[Ù JvÙdPPõD=^JjÙ TS;:?^[|ß¾Ùdc^P�Q¾J>[�Ù`Øè;:=@×³ÙdP×dH�[`TS?ZÙdc^PWØè;>×dH�=@Q¾JMØè;:×��J:ÝÇ;jR>P�à¢Jv?^]Çéj;:×³H�=^QÆÙ TSÞ@QSTYP×P[ÙdTSH�JjÙ P[`TY?!Ùdc^PMØè;:× H�=@Q¾JvÙdTS;:?Z;:ØÃÙdc^P�;:Þ8Ù TYHZTSø�JjÙdTS;>?�[=@Ý^Þ@×d;>Ý@QSP�H�6

ë Øè=@×Ù c@P�×qTY?DÙ P�× P[ÙdTS?@A�õ>=^P[ÙdTS;:?ÀÖ\;>?^Ö\P×d?^[�Ù c@P�Ö\;>HZÞ^Jv× T¾[;>?ÈÝIP\Ù�á³P�P�?¿Ù c@P�× P\ñ]8=^Ö\P�]�[ÞÇJ:Ö\P�HZP�Ùdc@;8]�J:?^]1Ùdc@PqÝ@QS;UÖlï1XÃJ:A:×lJv?@A>P�üWP�á©Ùd;>?�HZP\Ù c@;8]z6Çû�?�Ù c@P"Q¾JjÙdÙdP�×BÙdc@PMXÃJ:A:×lJv?@A>P4H�=@QYÙ TYÞ^QYTSP× [}H�=Ç[�Ù¢ÝIP�P\÷8Þ@QST¾Ö\TYÙdQSÕ"Ö\;>HZÞ@=8Ù P]�JvÙ`PJ>Ölc%[ÙdP�Þ!Jv?^]§Ù c@P�× PTS[ZÖ�;:?DÙd× ;jR:P× [dÕÜJvÝI;:=@Ù�á4c@P\Ù c@P�×�;jR>P�×lJvQSQ4Ö\;>?DR>P�× A:P?^Ö\P1T¾[§P�?@c^J:?^Ö\P�]ÛÝDÕÛJvQSQS;já4TS?@Aó�Ö\=@ÙÙdTS?@AZJ>Ö\× ;>[ [<Ù c@P"]8P[dTSA:?1[Þ^J>Ö\P:6 ôÓ]�=° Ö6¥G¦ª×]¢j��«�¥�¦`»�»a©c@P|HZP�Ùdc@;8]Z;>=8ÙdQSTS?@P�]�JvÝI;jR:P á4TYÙ c![d;:QS=8ÙdTS;>?§J>]@JvÞ@ÙdTSR:P A>×dT¾]@]@TY?Â"Jv?^]![P?^[TYÙ TYRUTYÙdTSP�[TS[<×dPQYT¾J:Ý@QSP¢TS?�Ùdc@P|Þ@×dP�[P?^Ö\P4;:Ø«[TSA:?^TÆíIÖ�Jv?DÙ+TS?@P\÷@J:Ö\Ùd?@P�[d[�6:a©c@T¾[�T¾[<]8=^P4Ùd;�Ù c@P Øè;>×dH�=8ñQSJvÙdTS;:?�J>[©Jv?%TS?@P�÷@J:Ö�Ù©ü Pá©Ùd;:?1HZP\Ù c@;8]�TS?�á4c@T¾Ölc!PJ:Ölc%;:Þ8Ù TYHZTSø�JjÙdTS;>?�[d=@Ý@Þ@× ;:Ý^QYPHTS[%Ö\;:?Ç[T¾[ÙdP�?DÙZÙ ;ÚH�J:Ölc^TY?^P1Þ^×dP�Ö\T¾[TS;>?K6<û�?�ØºJ:Ö\Ù�B©;:=@×1[P?^[TYÙ TYRUTYÙdTSP�[�J:×dPÊÖ�;:HZÞ@=@ÙdP]=^[TS?@AÉJÊÝ@QS;8ÖlïêNMOÈLc�S!êHZP\Ùdc^;U]ÚTS?êá4c@T¾ÖlcêÙdc@P1× P[dTS]@=^JvQ`TS[q;:?@QSÕÀ× P]8=^Ö�P]êÝUÕêJØºJ:Ö�Ù ;:×�;vØ|ä� @6+a©c^TS[qT¾["P\÷@J>Ö�ÙdQSÕÊÙdc@P�Ö\;>?DR>P�× A:P?^Ö\PZÖ\× TYÙdP×dTS;:?¿=^[dP]êTS?êÙ c@P!J:?^JvQSÕ8[dTS[R:P�×l[dTY;>?�;vØ<Ù c@P§Ö\;8]8Pv6Kû�?¿×d=^?@?@TS?@A�Ù c@;:=Ç[dJ:?^]@[|;vØ`ÖJ:[dP[�BIá³P�cÇJ�R:PqÝIP�P?É=^?^JvÝ@QSPqÙd;í^?^]ÊJ![TS?@A>QSP�TY?Ç[�ÙlJv?^Ö�P"á4c@P�× P"Ù c@T¾[ QSP�R>P�Q};vØ¢TS?@P�÷8J>Ö�Ù ?@P[ [4c^J>[|ÖJv=^[dP]ÈJ�ØºJvTSQS=@× PMÙd;Ö\;:?UR>P�× A:P"PTÆÙ c@P�×�Jv?¿Jv?^J:QYÕ8[dT¾[4Þ@× ;:Ý@QSP�H ;:×MJ1]8P[dTSA:?�;:Þ@ÙdTSHZTSøJjÙ TS;:?1Þ@×d;>Ý@QSP�H�6IûªÙ�T¾[H�=^ÖlcÛHZ;:× P�]8TYòZÖ�=@QYÙ§Ùd;ÜõD=^Jv?DÙ TÆØèÕÚÙdc@P�P�GIP�Ö�Ù%;:Ø�TS?@P�÷@J:Ö�Ù ?@P[ [�TS?ÛHZP�Ùdc@;8]@[Z[d=^ÖlcJ:[|Ùdc@P§J:]jú�;:TS?DÙ�HZP�Ùdc@;8]�;>×|Ù c@P§?@;:?^QYTS?@P�Jv×WÖ�;:?jú�=Â>JjÙ P�A>× J>]8TSP�?DÙWHZP�Ùdc@;8]�á4c@P×dP§JÖ\;:?Ç[T¾[ÙdP�?DÙ4[=^Ý@Þ@× ;:Ý@QSP�H T¾[©?@PR:P×©]@P\í^?@P�]z6Ø Ùs��ÐAÚ� G�Ô�() &ÎUÔÐ<ÍëW[<HZP?DÙdTS;:?@P�]qJ:ÝÇ;jR>PvBvÙ c@PW]8TYGzP�× P�?^Ö�P³ÝIP\Ù�á³P�P?Zá4c^JjÙ`TS[+=Ç[=^J:QSQYÕ"ÖJvQSQSP]qÙdc@P�!8ëWü|5â¨þ_��æ"ßè;>×�Ù c@P�JvQSQ4JjÙ§;:?^Ö�Pêâ ÿvæ©;>×�Ùdc@P�XÃJ:A:×lJv?@A>P%ü Pá©Ùd;>?ÅHZP�Ùdc@;8] â¨þ>þ\æèàqJ:?^]ÜÙ c@PüWëWü|5 ßè;>×�Ùdc@P�]8T¾[ Ö\TSÞ@QSTS?@P§ØèPJ>[TSÝ@QSP�;>×�Ù c@P1×dP�]8=^Ö\P�]Å[dPõD=@P?DÙdT¾JvQ©õD=^J:]8×lJjÙ T¾ÖZÞ@× ;vñA:×lJvHZHZTS?@A%ß·L�!,Û�7`à4;:×©Ùdc^P"×dP�]8=^Ö�P]�[ÞÇJ:Ö\P�HZP�Ùdc@;8]^à³T¾[©× PJ:QYQSÕZA>QY;>Ý^JvQSTSøJvÙdTS;:?«6:ë ?P\÷@Ö\PQYQSP?>Ù"]8T¾[ Ö\=^[ [dTY;>?É;:Ø H�Jv?UÕÊ;:Ø4Ùdc@P1JvQSA:;>×dTYÙ c@HZT¾Ö�T¾[d[d=@P["TY?UR>;:QSR:P�]ÊT¾[MÙ c@P%á³;:× ï;vØn�³TS×d;D[ Jv?^]ÈN�cÇJjÙÙlJ:[�â äjæ·6Ka`ÕDÞ^TSÖJvQSQSÕvBUÙdc^P�üWë|üW5 HZP�Ùdc@;8]�HZP�× P�QSÕ!P�?8Øè;>× Ö�P[4Ù c@P[�ÙlJjÙdPWPõD=^JjÙ TS;:?�Ö\;>?^[Ùd×lJvTS?DÙ�JvÙ`PR:P�× Õq;>Þ8ÙdTSHZTSøJvÙdTS;:?qTÆÙ P�×lJjÙ TY;>?K6DV`;:HZÞ^QYP�÷�;>Þ8ÙdTSHZTSøJvñÙdTS;:?�HZP\Ù c@;8]@[&Ý@QS=@×+Ùdc@T¾[�]8T¾[ÙdTS?^Ö\ÙdTS;:?"PR:P?qØè=@×dÙdc^P�×6vû�?�× PJ:QSTÆÙ�Õ:BÙ c@P�× P©T¾[�J�[dÞIPÖ�Ù ×d=^H;vØ¢HZP�Ùdc@;8]@[|ÙdcÇJjÙMTS[|QST¾JvÝ@QSPMÙd;�]8P�ØèÕ�P\÷@J:Ö\ÙMÖ�QSJ>[d[dTYíÇÖ�JvÙdTS;:?1TS?ÊJv?UÕ�Þ@×lJ:Ö\ÙdT¾Ö�J:QÃTSHZÞ@QSP\ñHZP�?DÙ JvÙdTS;:?Êâ ä��væ·6@û�?1;:×l]8P×`Ù ;§HZ;vÙdTSRjJjÙ PW;>=@× ]8T¾[dÖ�=^[ [TS;:?Z;:Ø}A>QY;>Ý^JvQSTSøJvÙdTS;:?�HZP\Ù c@;8]@[TY?q;:Þ8Ù TYHZTSø�JjÙdTS;>?KB�á`P¢í^× [Ù}P�÷@JvHZTS?@P+Ùdc^P`× ;:QSP�;vØÇA:QS;:Ý^J:QSTYø�JjÙ TY;>? ;vØ^üWP�á©Ù ;:?)0¬[ÃHZP�Ùdc@;8]TY?�Ö\;>HZÞ@× P[ [TSÝ@QSP4RUT¾[dÖ�;:=^[`î^=@T¾]1]8ÕU?^JvHZT¾Ö[\6

¸³i�m>�nk¨m>g�t�£`Ä«�nk¨r�knmDt��kni�m§knmZ�¢g £�iv¤:u:mDtr�kn�©�¢mUt�¬u:¡�kn¡¢tmU¤�¼©gl¡�kno�m�{³s:��knr�k¨°lt��kni�m ��Ü��z� §"�[¥��d¹?¥G¦`¢�¤WÝ.�d¹?ÕË¹d¥�¢�«�¹?�[¥C½c@P�?%[d;:QSRUTS?@A�?@;:?@QSTS?@P�Jv×<[dÕU[ÙdPH�[+;vØ«P�õ>=ÇJjÙdTS;>?^[�[=ÇÖlc�J:[�Ù c@;>[dPWJ:×dT¾[dTY?Â|TS?ZÖ\;>HZÞ@=8ñÙ JjÙ TS;:?^J:Q>îÇ=@T¾]�]@ÕD?ÇJvHZT¾Ö�[�B�Ö�;:?UR:P×dA>P�?^Ö�P³ÖJv?�TS?�[d;:HZP©Ö�J>[P�[+ÝÇP ]8×lJvH�JvÙdT¾Ö�J:QSQYÕ�J:ÖÖ\P�QYñP�×lJjÙdP�]ÈÝUÕÈ=^[dTS?@A!Ùdc@P§?@;>?@QSTY?^PJv×|P�QSTSHZTS?^JjÙ TY;>?!HZP�Ùdc@;8]z6Ãa©c^TS[�HZP�Ùdc@;8]ÈT¾[MÖ\Q¾J>[d[dT¾Ö�JvQÝ@=8Ù|á©J:[|Jv?^J:QSÕDøP]!TS?Üâ ä1 jæ�6�!U=@Þ^ÞÇ;D[P�á`P"á©Jv?DÙ Ù ;![d;:QSR:P�Ù c@P�[dÕ8[�Ù P�H ;vØ<?@;>?@QSTY?^PJv×PõD=^JjÙ TS;:?^[ ;Zß?<Éà 3 ß�þ_�:àJv?^]ÈÙdc@PZ[dÕU[ÙdPH Ö�J:?ÊÝIP�]8TSRUT¾]8P]ÈTY?DÙ ;�Ù�á³;![dP\Ù [�;:Ø`PõD=^JvÙdTS;:?Ç[�; @ J:?^]¨; D ;:?@P�;vØá4c@T¾Ölc�HZTSA:cDÙ+ÝÇP4H�=^Ölc�HZ;:× P`QSTS?@P�Jv×}Ùdc^J:?�Ù c@P ;:Ùdc@P×�6:XÃP\Ù<=^[+Øè=^×Ù c@P�×¢[d=@Þ@ÞI;>[dP©ÙdcÇJjÙÙdc@P³RjJv× TSJ:Ý@QSP[KÖJv?"ÝIP³]@TYRUT¾]8P�]|TS?DÙd;�ä [d=@Ý^[dP\Ù [�<^@<J:?^]U<WD¢[d=^Ölc�Ù c^JjÙA;GD>ß?<�@_4B<WDà 3 4T¾[Ã[d;:QSRjJvÝ@QSP&Øè;:×�<aD¢A:TSR:P?¼<�@�6û�?�Ù c@T¾[ÃÖJ:[dPvBá³P¢ÖJv?q]8P�í^?@P¢Ùdc@P`?@;:?@QSTS?@P�Jv×IØè=@?^Ö\ÙdTS;:?Þ ß?<�@�à�ÝUÕÛÙdc^TS[!Q¾JjÙdÙdP�×1[;>QS=8ÙdTS;:?w<WDj6³CÀP¿ÖJv?½?@;já ]@P\í^?@PÀJÜ?^;:?@QSTS?@PJ:×�[Õ8[ÙdPHPõD=@TSRjJvQSP�?DÙ¢Ù ;Èß�þ_�:à`ÝUÕ ß

ß=< @ à 3 ; @ ß=< @ 4 Þ ß=< @ àdà 3 j5 ß�þ�ÿ>àç|?^Ö\PÀß�þ�ÿ>à�T¾[�[d;:QSR>P]¿Øè;:×W< @ Bn; D ß=< @ 49< D à 3 ¿H�=^[Ù§ÝÇP�[d;:QSR:P�]ÀØè;:×a< D 6<ûªØ

ü P�á©Ù ;:?)0¬[�HZP\Ùdc^;U]ÀT¾[�JvÞ@Þ@QSTSP]ÉÙ ;Úß�þ�ÿ>àlB&Ùdc^P1b>J:Ö\;>Ý@T¾Jv?¿H�JjÙ ×dTY÷ÊT¾[Çà·áà ��â 3äã_å âã ��â oã_å âã ��æ ßªã_å æã ��æ à t @ ã_å æã � â Jv?^]|Ùdc^P<QSTY?^PJv×zü Pá©Ùd;>?"[Õ8[ÙdP�HìÙd;4ÝIP¢[d;:QSR:P�] á³;:=@Q¾]|ÝÇPçà·áà � â P <�@ 3o ß 6:ëW[<ÖJv?�ÝÇP [dP�P?�ÝUÕq=Ç[TS?@A�Ý@QS;8Ölï�P�QSTSHZTY?ÇJjÙdTS;>?�;>?�P�õD=^JjÙ TY;>?!ßþ_�và�BjÙdc@P4× P[d=@QYÙdTS?@AP <�@�T¾[MP�÷8J>Ö�Ù QYÕ�Ù c@P P <^@qÙdc^JvÙ"á`;>=@Q¾]Ê× P[d=@QYÙMTÆØ³Ùdc^P�ü P�á©Ù ;:?ê[ÙdP�Þ¿Øè;>×MÙdc@PZP?>Ù TS×dP[Õ8[ÙdP�H TS[4Ö�;:HZÞ@=@ÙdP]!ÝUÕ%[d;:QSRUTY?Âè ã�å âã � â ã_å âã ��æã�å æã � â ã_å æã ��æ�émê P < @P < D,ë 3po ê ; @ ß=<Éà; D ß=<Éà ë ß�þZ�và

a©cD=Ç[\B}Ùdc@P1ü P�á©Ù ;:?Ú]@TY× PÖ\ÙdTS;:?ÉØè;:×qÙdc@P!×dP�]8=^Ö�P]ê[dÕU[ÙdPH ßþÿDàMT¾[4ú�=^[ÙqÙ c@P^< @Ö\;:HZÞI;:?^P�?DÙq;vØWÙdc@P�ü Pá©Ùd;:?Å]8TS×dP�Ö�ÙdTS;>?ÉØè;>×qÙ c@P!Øè=@QSQ³[dÕ8[�Ù P�H ß�þ_�:à�6+FW;já`PR:P�×BÃÙ c@PA:QS;:Ý^J:QSTYø�JjÙ TY;>?�Øè;:×<Ù c@P4Ù�á³;q[dÕU[ÙdPH�[+T¾[<]8TYGIP×dP?DÙ�6DN�TSR:P?�Ùdc@P�Ö\=@× ×dP?DÙ<TÆÙ P�×lJjÙ Ph< F@ BDJ[�ÙlJv?^]@J:× ]qQSTY?^P³[dPJ:× Ölc�Øè;>× ß�þ�ÿ>àÃá`;>=@Q¾]"ÝIP©Ùd;�Ölc@;U;>[dP¢Ù c@P4[�Ù P�Þ�QSP�?@A:ÙdcÈ�Ùd;MHZTS?@TSHZTYøPì ; @ ß?< F É @@ 4B< F É @D à ì á4c@P×dP²< F É @@ 3 < F@ f�È P < F@ J:?^]Ë< F É @D 3íÞ ß?< F É @@ à"T¾[]8P\Ù P�× HZTY?^P]�ÝUÕ%[d;:QSRUTS?@AqP�÷@J:Ö�Ù QSÕ�;�D>ß=< F@ fËÈ P < F@ 49< F É @D à 3 @6

a©c@PMH�Jj÷8TSH�=@H Ö\;>HZÞ@=8Ù JvÙdTS;:?ÇJvQ^ÝIP�?^P\í@Ù ;:ØÃÙdc^P�HZP�Ùdc@;8]!T¾[`J>Ölc@TSP�R:P�]Zá4c@P?¯;GDTS[WH�=ÇÖlc�HZ;:× P"?@;:?^QYTS?@P�Jv×©Ù c^Jv?¨;A@jBÇÙ c@P�]@TYHZP?^[dTY;>?!;:Ø�<WDqT¾[W[dH�JvQSQÃÖ�;:HZÞ^J:×dP�]!Ùd;<êB«Jv?^]¶;�D>ß=<^@�49<aD�à 3 %T¾[|×dPQ¾JjÙdTSR>P�QSÕ�PJ>[Õ1Ù ;1[d;:QSR:P"Øè;:×�<aD�ÝIPÖ�J:=^[dP�;:Ø`[ÞIPÖ�T¾JvQØèPJjÙ =@× P[�6Çë ?�P�÷8J:HZÞ@QSP|;:Ø}Ù c@P"Q¾J:[Ù Ölc^Jv×lJ:Ö\ÙdP×dT¾[ÙdT¾Ö T¾[4[d;:QSRUTY?Â"Ùdc^P"ÝÇ;>=@?^]@J:×dÕ!Q¾J�Õ:P�×PõD=^JjÙ TS;:?^[�A:TSR:P?ÀÙdc@P�R>P�QS;8Ö\TYÙ�Õ¿JvÙ§Ùdc@P1P]8A>P�;vØ Ù c@P�QSJ�Õ>P�×6&a©c@P�[P1PõD=^JvÙdTS;:?Ç[�J:×dPÞ^Jv×lJvÝI;:QST¾ÖMTS?�Ùdc@P§[Ùd× PJvH�á4T¾[P�]8TS× PÖ\ÙdTS;:?�Jv?Ç]Èc@P?^Ö\P§Ö�J:?ÈÝÇP§[d;:QSR:P�]�× JvÙdc@P×|P�J:[dTYQSÕÝDÕ�[dÞ^J:Ö�P"H�Jv×lÖlc@TS?@A@6@a©c@PÕ1J:×dP�JvQ¾[;§R>P�× Õ!?@;>?@QSTS?@PJ:×³P�[ÞIPÖ�T¾JvQSQSÕZ?@PJ:×W[PÞ^Jv×lJjÙ TS;:?K6ë ?@;:Ùdc@P×¢P\÷@J:HZÞ@QSP³;:ØzÙdc@T¾[+Ù�ÕUÞIPW;vØ«[dTYÙd=^JvÙdTS;:?�T¾[+Ùdc@P�Ö\;>HZÞ@×dP�[d[dTSÝ@QSP<î^=^TS]�î^;já�P�õ>=ÇJjñÙdTS;:?^[}?@P�Jv×}J�[Ùd× ;:?@AW[dc@;8ÖlïMá³J�R>Pv6�a©c@T¾[ÃT¾[ÃÙdc@P©[TYÙ =^JjÙ TY;>?�]8T¾[dÖ�=^[d[dP]qJjÙ}QSP?@AvÙ c"ÝÇPQS;jáØè;:× J§[TSHZÞ@QSP|;:?@P�]8TSHZP�?Ç[TS;:?ÇJvQÇÖ�;:?UR:P×dA>TS?@Aq]8TSR:P×dA>TS?@A"?@;>ø�ø�QSP�Þ@× ;:Ý@QSP�H�6

�� ¼|yUxzy:ö&i¥DmDo:w:g ��yUt��¾yÜ��=° §"�[¥��d¹?¥G¦`¢�¤WÝ.�d¹?ÕË¹d¥�¢�«�¹?�[¥mÔ^µ�µ��?¹d¦ª®J«��'§"�iî�î1�?¦"ïh�d�`©ð ¹?ñn¦ª¤_¦`¥�«�¹?¢j�[Ý.ò)³G¢�«�¹?�[¥ V`;:?^[dT¾]8P�×KJ©;>?@P\ñ�]8TSHZP�?^[dTS;:?^J:Q�?@;>ø�øQYP+Þ@× ;:Ý^QYPHì]8P�[dÖ�×dTSÝIP]ÝDÕ�Ùdc@P"]8TYGzP�× P�?DÙdT¾J:QIP�õD=^JjÙ TY;>?

â óqßdôÇà�õzß=>Kà�>Çæ·ö 3 ß�þ��>àá4c@P�× P� W÷lô¶÷le46�óqß?ôIà4T¾[©Ù c@PqÖ\× ;>[ [ [dPÖ\ÙdTS;:?^J:Q«Jv× PJ§;:Ø}Ù c@Pq?@;>ø�øQYPZß·J:[ [=@HZP�]!Ùd;ÝÇP§Ö\;>?DR>P�× A:TS?@A8éj]8TSR:P×dA>TÆ?ÂDàlB`>+ß?ôÇà|T¾[4Ù c@P§R:PQY;8Ö�TÆÙ�Õ:BÇJv?Ç]õzß=>Kà T¾[WÙdc@P§]8P�?Ç[TYÙ�Õv6Ka©c@T¾[[TS?@A>QYP©P�õ>=ÇJjÙdTS;>?�PH�ÝI;8]8TSP[�Ö\;>?^[dP�× R�JvÙdTS;:?�;vØKH�J:[ [�TS?�Ùdc@PW?@;:øø�QSPv6vCÀPWJ>[d[d=@HZP©ÙdcÇJjÙÙdc@P©R:PQS;UÖ�TYÙ�Õ�T¾[&A:TSR>P�?qJ>[ÃÙ c@P4A:×lJ:]@TYP?DÙ};vØzJ|[ Ö�J:Q¾Jv×&ÞÇ;:ÙdP�?DÙ TSJ:Q�B�T�6 Pv6YB_> 3lø[ö Jv?^]qÙdcÇJjÙÙdc@P"]8P?^[dTÆÙ�ÕZT¾[³A:TSR>P�?�ÝUÕZÙ c@P�T¾[P?>Ù ×d;>Þ@T¾Ö©Øè;:× H�=@Q¾JUõ 3ºù þSf @D ß=ú o þ�à�ß�þ o > D à�û âü�ý âá4c@P�× Paú 3 þ�5 å@6Ãa©c@P§ÝI;:=@?^]^Jv× ÕÊÖ\;>?^]8TYÙdTS;:?Ç[|J:×dP�ÙdcÇJjÙ ø ß? >à 3 �J:?^] ø ßde`à 3xþá4c@P�× P þ T¾[«A:TSR>P�?K6�ëÚÙ�ÕUÞ@T¾ÖJvQ:?^;:ø�øQSP¢Jv× PJ|]8T¾[�Ù ×dTSÝ@=8Ù TS;:?�TS[GóqßdôÇà 3 �5¬ÿ^ßdô o þ�à D f� j5 åá4c@P�× Pë 3 ä`5ÿ 86³û�?ãÙdc@T¾[�Øè;:× H�=@Q¾JvÙdTS;:?KB�á³PÊc^J�R>P�Ùdc^PÈØè;:QSQS;já4TS?@A¿TS]@P�?DÙdTYÙdTSP�[ZJv?^]]8P\í^?^TÆÙ TS;:?^[¢Øè;:×³Ùdc^P�Þ^×dP�[d[d=@× P��«B8Ù c@PMQS;UÖJvQz[ÞIP�P�]%;:Ø&[d;:=@?Ç]^Ð�B^J:?^]ZÙ c@PMQY;8ÖJvQzOÈJ:Ölc?D=^H�ÝIP�×�� u�� 3 õ��,Y_ú}B,Ð D 3 ú��)Y_õ 3 õ�� t @ B^Jv?^]�� 3 >]YZÐ�6

ë [dH�JvQSQ³RjJvQS=@P1;vØ þ á4TSQSQ©A:TSR:P1JÊÙ ;vÙlJvQSQSÕÀ[d=@Ý^[d;:?^TSÖ1Jv?Ç]Å[dÕUHZHZP\Ùd× T¾ÖÈßºJ:ÝÇ;>=8ÙÙdc@P�Ù c@× ;>JjÙ�à�R:PQY;8Ö�TÆÙ�Õ:6&û�?�Ù c@T¾[�Øè;:× H�=^QSJvÙdTS;:?«BGõ 3 Ð 3 þ�á4c^P�?s> 3 þvBn>��þÖ\;:× × P[dÞÇ;>?^]@[|Ùd;�[d=@Ý^[d;:?@T¾Ö�î^;jáMBÃJv?Ç]¨>�'þZÖ�;:× ×dP�[ÞI;:?^]^[WÙ ;È[=^ÞÇP× [d;:?@T¾Ö"î^;jáM6}ë[TSHZÞ@QSP|ÖJvQ¾Ö\=^QSJvÙdTS;:?�[dc@;já [`ÙdcÇJjÙ PõD=^JvÙdTS;:?¿ß�þ��>à`T¾[©PõD=@TSRjJvQSP�?DÙ¢Ù ;ó.ö�õª> o ó�õ�>�ö^ßþ o � D à 3 ë³Ù|Ù c@P"Ù c@×d;DJjÙB�ó öW3 %[d;�Ù c^JjÙ�P�TYÙdc@P×.> öW3 �;>×�� 3 þ:6Iû�?Ê[d=@Ý^[d;:?^TSÖ�î^;jáMBÇTYÙÙd=@× ?^[©;:=@Ù`Ù c^JjÙh> öU3 �JjÙ©Ùdc@P�Ù c@×d;DJjÙ©á4c@P�× PJ>[¢TS?%Ùd×lJv?^[d;:?@T¾Ö©îÇ;jáMB � 3 þ�JvÙ³Ù c@PÙdc@× ;>JvÙ�6«_@;>× þ [d=8ò�Ö\TSP�?DÙdQSÕ�Q¾Jv× A:P:B^Ùdc^P�îÇ;já²á4TSQYQ&ÝIP§[d=@Ý^[d;:?^TSÖqTS?�Ùdc@PZÖ�;:?UR:P×dA>TY?ÂÞ^Jv×dÙ�;:Ø Ùdc^P1?^;:ø�øQSPvB�[;>?@T¾Ö�JjÙ�Ùdc@P1Ù c@×d;DJjÙB�J:?^]Ú[d=@ÞIP�×l[;>?@T¾Ö�]8;já4?^[Ùd× PJ:H ;vØWÙ c@PÙdc@× ;>JvÙ�6Da©c^P�[d=@ÞIP�×l[;>?@T¾Ö©ø�;:?^P4ÙdP×dHZTS?^JvÙdP[<TY?�J�[c^;UÖlï�á©J�R:P4Øè;>QYQS;já³P]�ÝUÕ�[d=@Ý^[d;:?@T¾Öî^;já½Ù ;�Ù c@P�P\÷8TYÙ�6â©c^P�QSJ:×dA>P�× þ TS[�BUÙdc@P"[Ùd× ;:?Â:P�×³Ù c@P"[c^;UÖlï%á4TYQSQzÝIPv6ð ¹d»#�1¤_¦ª«�¹?î1¢j«#¹?�[¥ ûªØ�á³P�Ö\;:?Ç[T¾]8P×§J¿HZP�[cÛ;vØMÞÇ;>TS?>Ùl[aô,X-4�� 3 þA565#5B8"< Jv?^]ÛQSP\ÙÞ X 3 ô,X É @ o ô,XB,ô X É âæ 3 �5 �@ß?ôiX É @�fÎô,XªàlBj> X É âæ 3 ß ø ß?ô,X É @�à o¨ø ßdô,X�àà9Y8ß?ôiX É @ o ôiX�à�BJv?^]²õ X É âæ 3 õzß=> X É âæ àlBÇJ�Ù�ÕUÞ@T¾ÖJvQKÖ\P?>Ù P�× P]1]8TYGIP×dP?^Ö\P|Øè;:× H�=@Q¾J"á³;:=@Q¾]�ÝIPóqßdô X É âæ à�õ X É âæ > X É âæ o ó�ß?ô X t âæ à�õ X t âæ > X t âæ �5 �@ß ÞiX t @ f Þ,X à 3 �5 ß�þ��>à

a©c@PMÝÇ;>=@?^]@J:×dÕ%Ö�;:?^]@TÆÙ TS;:?^[³Jv× P ø ßdô @ à 3 §J:?^] ø ßdô Ì ��à 3lþ 6ïh¹=¤Z»6«��a¤Z®G¦�¤ ð ¦`¥�»�¹=«��l��¹?¢j»�¹?¥G£ ë [�ÙlJv?^]^Jv×l]1Øè;:× H ;:Ø`[Ù JvÝ^TYQSTSøJvÙdTS;:?Éßèá4c@T¾ÖlcÈT¾[×dP�õ>=^TY× P]qTS?�× P�A>TY;>?^[};vØK[=@ÞIP�×l[d;:?@T¾Ö¢î^;jáÚÙ ;M×d=@QSP©;:=@Ù<P\÷8Þ^Jv?Ç[TS;:?�[c^;UÖlï8[là}TS[+=^ÞDá4TS?^]Ý@T¾J:[dTY?Âq;vØ}Ùdc@P"]@P�?^[dTYÙ�Õv68CÀP"]8P\í^?^PMÙdc@P"[dá4TYÙ Ölc@TS?@AqØè=@?^Ö�Ù TS;:?��ÉÝUÕ

¸³i�m>�nk¨m>g�t�£`Ä«�nk¨r�knmDt��kni�m§knmZ�¢g £�iv¤:u:mDtr�kn�©�¢mUt�¬u:¡�kn¡¢tmU¤�¼©gl¡�kno�m�{³s:��knr�k¨°lt��kni�m ��

� 3 OÈë�� ê �4þ o � D�� D ëá4c@P�× P�� T¾[ZÙdc^PÉÖ\=@Ùd;vGEOÈJ>Ölcã?D=^H�ÝIP�×6¢CÀPÈÙlJvï:P�� D� 3 j5 �ª�U6¢û�? ;:×l]8P�×�Ùd;A:=^J:× J:?>Ù P�PZ[Ù JvÝ^TYQSTYÙ�Õ�;vØ©Ùdc^P%[dÖlc^P�HZP�Ùdc@P%=@ÞUá4TY?Ç]8TS?@A�H�=^[Ù"ÝIPZÙd=@× ?@P�]À;:?êJjÙ"Ù c@PØè;D;:Ù1;:Ø�Ùdc@PÀ[dc@;8ÖlïÅá4c@P×dPÊÙdc@PÉî^;jáÁT¾[%[d=@Ý^[d;:?^TSÖv6³a};ÅJ>Ö�Ö\;>HZÞ@QST¾[cÅÙdc@T¾[�B©[dP�R>P�×lJvQTÆÙ P�×lJjÙ TY;>?^[«;:Ø�ó�P\÷8Þ^Jv?Ç]8TS?@A��«ôMJv× P©JvÞ@Þ@QSTSP]K6�û�?�PJ>Ölc�[d=^Ölc�TYÙ P�×lJjÙdTS;>?KB�á³P©[P�Ù�� X É âæ 3OÈë��§â � X t âæ 4�� X É âæ 4�� X É��æ æ�6û�?�Ùdc^PM]@TÆGzP�× P�?ÇÖ\P Øè;>×dH�=@Q¾J�ßþ#�>à�B@[�ÙlJvÝ@TSQSTSøJjÙ TS;:?�TS[³J:Ölc^TYPR:P�]ZÝUÕZ×dPÞ@Q¾J:Ö\TS?@AUõ X É âæÝDÕ

�õ X É âæ 3 õ X É âæ o � X É âæ ß?õ X É âæ o õ X t âæ à¬�¢j»�»ïh�d³�×m��¹?¢,»#¹d¥�£ ûªÙ©cÇJ:[³ÝÇPP�?!Øè;:=@?Ç]�Ù c^JjÙ [d;:?@T¾Ö QSTS?@P�[`J:×dP|HZ;:× P|J:ÖÖ\=@×lJjÙ P�QSÕ×dP�[;>QYR>P]�ÝUÕ�=^[TS?@A�=@ÞUá4TS?^]�Ý@T¾J:[dTY?ÂW;vØIÙdc^P4H�J:[ [ÃîÇ=8÷qÙ ;"[�ÙlJvÝ@TSQSTSø�P<Ù c@P©í^?@TYÙ P©]@TÆGzP�×dñP�?^Ö�P§[ Ölc@PHZPq×lJjÙdc^P�×�Ùdc^J:?¿]@P�?^[dTYÙ�Õ1Ý^TSJ>[TS?@A^6Çû�?ÉÙdc@T¾[|Øè;:× H�=@Q¾JjÙdTS;>?KB@Ùdc^P§[dá4TYÙ Ölc@TS?@AØè=@?^Ö�Ù TS;:?ãT¾[Z?@;:Ù%=^[dP]z6³û�?^[�Ù PJ>]�á`PÈQSP�Ù�õ ��ÝÇPÊÙdc@PÊ[d;:?^TSÖ�]@P�?^[dTYÙ�Õ ßèTS?ÛÙdc^TS[!Ö�J>[PJ:[ [=@HZP�]ÀÙd;¿ÝIP¿þ:6 Dàl6<a©c@P�[d;:?@T¾Ö�RjJ:QY=^P%;vØ|Ùdc@P�R>P�QS;8Ö\TYÙ�ÕvBG> �%T¾[§JvQ¾[;Úþv6ÿ 86�û�?ÚÙ c@P]8TYGIP×dP?^Ö\P�Øè;:× H�=^QSJÉß�þ��>àlBÃ[Ù J:Ý@TSQSTYø�JjÙ TY;>?!T¾[�J>Ölc@TSP�R:P�]�ÝUÕÈ× P�Þ@Q¾J:Ö�TS?@A�õ X É âæ ÝUÕ �õ X É âæA:TSR:P?%ÝUÕ

�õ X É âæ 3 õ X É âæ o þ> X É âæ ! õ X É âæ > X É âæ o õ X t âæ > X t âæ#" ß·ä1 >àá4c@P�× P õ X É âæ > X É âæ 3$ TYØ�� X É âæ � þ15 õ X É âæ > X É âæ o õ%�E>&�`TYØ�� X É âæ(' þ15 ß·ä@þ�à

) �[Õ'µ�³�«�¢�«#¹d�i¥G¢j�G±^¦`»�³��?«#» ë QSQ^Ö�;:HZÞ@=@Ù JjÙ TS;:?^[+× P�ÞI;:×dÙdP�]�ÝIP�QS;jáÛá`P×dP4ÞIP�×dØè;:× HZP]á4TÆÙ c%íÇ× [Ù ;:×l]8P�×4H�J>[d[`î^=@÷!Ý@T¾J:[dTS?@A@6j!UTSHZTSQ¾Jv×`J>[ÕUHZÞ8Ù ;vÙ TSÖW×dP�[=^QÆÙl[©Jv× P|Øè;>=@?^]1á4TYÙdcí^× [Ù4;:×l]8P�×4]8P?^[dTÆÙ�ÕZÝ^TSJ>[TS?@A�P\÷@Ö\PÞ8Ù©Ùdc^JvÙ4Ùdc@P�?U=@H�ÝIP�×l[¢;:Ø+üWP�á©Ùd;>?1[ÙdPÞ^[4Jv× PM=@?@TYñØè;:× HZQYÕ![H�J:QYQSP×�68ë²Ö\;>HZÞ@QSP\Ù PMüWP�á©Ù ;:?ÈHZP�Ùdc@;8]1á³J>[4TSHZÞ@QSP�HZP?>Ù P]%á4TÆÙ cÈJv?^J:QSÕ>Ù T¾ÖÖ\;:HZÞ^=8Ù JvÙdTS;:?Å;vØ�Ùdc@PÉb>J:Ö�;:Ý@T¾J:?ÜH�JjÙ ×dTY÷z6<_}TSA>=@×dPÀþÈ[dc@;já [�Ùdc^P�A:P�;>HZP\Ù ×dÕê;:Ø�Ù c@P?@;:øø�QSP�Jv?^]!Ùdc^P"[;>QY=@ÙdTS;:?!;:Ý8ÙlJvTS?@P]!;:?�J§R:P×dÕ�í^?@P�A:× T¾]z6â©c@P�RjJvQS=@PM;:Ø þ =^[dP]1T¾[þ�5Sþ��UB8× P[d=@QYÙdTS?@A�TY?�J§[c^;UÖlï%á³J�R>P|;:Ø&HZ;8]8P× JvÙdPM[�Ù ×dP?@AvÙ cK6_}TSA>=@×dP�ä§[dc@;já [©Ùdc^P"Ö\;:?UR>P�× A:P�?ÇÖ\P�;vØ<ü Pá©Ùd;:?]0 [4HZP�Ùdc@;8]!Øè;:× Ùdc@T¾[©Þ@× ;:Ý@QSPH';:?

JZ[P×dTSP[©;:Ø&=^?@TYØè;:× H A:× T¾]@[�6ÇN�QY;>Ý^JvQSTSøJvÙdTS;:?§á©J:[ ]@;:?@P�=^[dTS?@AZJ§?@;:?@ñª]8P×dTSRjJjÙ TSR:P�QYTS?@P[P�Jv×lÖlc�Ùdc^JvÙ�HZTY?^TYHZTSøP]%Ùdc@P�e³äZ?@;>×dHÁ;:Ø¢Ùdc^P�× P[dT¾]8=^J:Q};:Ø|ß�þ��>àl6Ãa©c^P�QSTS?@Pq[dPJ:× Ölc×d;>=8ÙdTS?@P�c^J>[�J¿Ùd;>QYP× J:?^Ö\P!ÙdcÇJjÙ!Ö�;:?DÙd× ;:Q¾[�Ùd;êá4c^JvÙ%QSP�R>P�Q©;vØ�P�× × ;:×�Ùdc@PÊHZTY?^TYH�=@H;vØ�Ùdc@PÈ?^;:× H ;vØ�Ùdc^P�×dP�[T¾]8=^J:Q4T¾[Z[;>=@A:cDÙ�6¢ë R�J:QS=@P�;vØ§þ# t+* á³J>[§=^[dP]ÛTS?ÅÙ c@P[dPÖ�JvQ¾Ö�=@Q¾JjÙdTS;>?^[qÖ�;:× ×dP�[ÞI;:?^]@TY?ÂÊÙ ;ÜJÀR:P�× ÕÅJ>Ö�Ö�=@× JvÙdP�QSTS?@P�[P�Jv×lÖlcK6¢ëW[�ÖJv?�ÝIPÊ[PP�?Øè×d;>H'Ùdc^P�[dPÖ\;>?^]1Þ^Jv?^P�Q«;:Ø&Ù c@P�íÂ>=@× PvB@Ù c@Pq[ÙdP�Þ�QSP?@AvÙ c^[4á³P�× P�R:P�× Õ%Ö�QY;D[P�Ù ;�ø�P×d;P\÷@Ö\PÞ8Ù ?@PJ:×4Ö\;:?UR>P�× A:P�?ÇÖ\Pv6

� � ¼|yUxzy:ö&i¥DmDo:w:g ��yUt��¾y

0.0 0.4 0.8 1.2 1.6 2.00.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

X

Area

0.0 0.4 0.8 1.2 1.6 2.00.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

1.2

1.3

X

Mach

,.-0/ �21U� ��iv¤>gl�^�li�mv´�gd£�o�knmDo�¤:kn´�g £�o�knm>oMmDi°l°l�ng s>£�i�±>�nglr§y

0 40 80 1201E-08

1E-07

1E-06

1E-05

0.0001

0.001

0.01

0.1

1.0

Newton Steps

Relative Residual

128 grid points

64 grid points

32 grid points

16 grid points

0 40 80 1200.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

Newton Steps

Step Length

128 grid points

64 grid points

32 grid points

,.-0/ �43^� ¸³g ¯��im��limv´�g £�o�g mD�lg©¦Yi£`r�iv¤>gl�@s>£�i±D�nglr�¯<k¬��f§¡ª�t�mU¤Dt\£¤�o�ï±Ut��¨kn°�t\��kni�mÇyû�?�íÂ:=@× PÊù@B`á³PÊ[c^;já0Ù c@PÈ× P[d=@QYÙ [Z;:ØqJvÞ@Þ^QYÕUTS?@A¿Ùdc^PÈ?@;:?^QYTS?@P�Jv×ZPQYTSHZTS?^JvÙdTS;:?

HZP\Ùdc^;U]�Ù ;MÙdc@T¾[+Þ@× ;:Ý@QSPH�6ja©c^P4P�QSTSHZTY?ÇJjÙdP�]MPõD=^JvÙdTS;:?^[+J:?^]�=@?@ïU?@;já4?^[<Ö�;:× ×dP�[ÞI;:?Ç]Ùd;�J|[d=@Ýz]8;:H�J:TS?qÖ\;>?>ÙlJvTS?@TS?@A × ;:=Â:c@QSÕ�þ_YZ�vÙdc�;vØIJ:QSQ>Ù c@P©A:× T¾]�ÞÇ;>TS?>Ùl[&TY?qÙdc@P©Þ@× ;:Ý^QYPHÖ\P�?DÙ P�× P]§;:?§Ù c@PW=^QÆÙ TSH�JjÙdP©QS;8Ö�JvÙdTS;:?�;vØKÙdc^P|[dc@;8Ölïqá©J�R:Pv6DëW[¢ÖJv?ZÝIP|[dP�P?§Øè×d;>HýÙ c@PíÂ:=@× PvB�Ù c@P�Ö\;>?DR>P�× A:P?^Ö\P!;vØ�üWP�á©Ù ;:?)0¬[§HZP\Ù c@;8]ÚT¾[§]8×lJvH�JjÙ T¾Ö�JvQSQSÕÈTSHZÞ@× ;jR:P�]êJv?^]ÝÇP�Ö\;:HZP�[¢J:QYHZ;D[�Ù�TS?^]8PÞÇP?^]8P?>Ù³;vØzÙdc^P�]8P?^[dTÆÙ�Õ�;vØKÙ c@PWA>×dT¾]z6U_@;:×¢Ùdc@T¾[¢Þ@×d;>Ý@QSP�H�BvÙ c@P?@;:?@QSTS?@P�Jv× TÆÙ�Õ§T¾[ J:QYHZ;D[�Ù4JvQSQÃÖ�;:?^Ö�P�?DÙd×lJjÙ P]1?@P�Jv×4Ù c@P�[dc@;8Ölï%á©J�R:P:6â©c@T¾[4T¾[4;:ÝURUTS;:=^[Øè×d;>H*JÈÖ�;:?^[dT¾]8P�×lJjÙ TS;:?Ê;:Ø©Ùdc@P�?ÇJjÙd=^×dP�;:Ø4PõD=^JjÙ TS;:?^[�ßþ#�DàlB³ß�ä� DàlB&J:?^]ãß·ä@þ�à�6ÃC½TYÙdcÙdc@T¾[M[P�Ùd=@Þ«BKÙdc@P§[TSøP�;:Ø<Ùdc@P§PQYTSHZTS?^JvÙdP]�[dÕ8[�Ù P�HÁA:× ;já [ QSTS?@P�Jv× QYÕ!á4TYÙdcÈÙ c@PZ[TSøPq;vØ

¸³i�m>�nk¨m>g�t�£`Ä«�nk¨r�knmDt��kni�m§knmZ�¢g £�iv¤:u:mDtr�kn�©�¢mUt�¬u:¡�kn¡¢tmU¤�¼©gl¡�kno�m�{³s:��knr�k¨°lt��kni�m �E{Ùdc@P|;:× TYA>TS?^JvQ8Þ@× ;:Ý^QYPH�6:a©c@P|Ö�;>[Ù`;:ØKÙdc@P|QYTS?@P [dPJ:× ÖlcZT¾[¢TY?ÇÖ\× PJ:[dP]�TS?ZÙdc^PW?@;>?@QSTY?^PJv×P�QSTSHZTY?ÇJjÙdTS;>?!HZP�Ùdc@;8]È;jR>P�×|Ùdc@T¾[MÖ\;D[�Ù�TS?ÈÙ c@PZ[�ÙlJv?^]^Jv×l]Êü Pá©Ùd;>?ÉHZP�Ùdc@;8]ÈÝIPÖJv=^[dPÙdc@P�Q¾JjÙÙ P�×|;:?@QSÕ�TS?DR>;:QSR:P�[©Ö\;:HZÞ^=8ÙdTS?@AZÙ c@P�×dP�[T¾]8=^J:QÃá4c@P×dP�J:[ Ùdc@P�Øè;:× HZP�×|TY?UR>;:QSR:P�[[;>QYRUTS?@A©?@;>?@QSTY?^PJv×«[d=@Ý@Þ^×d;>Ý@QSP�H�[z;jR:P×KÙdc^P¢P�QSTSHZTS?^JjÙ P]|[=@Ýz]8;>H�JvTS?K6FW;já`PR:P�×B\Ù ;vÙ J:QV³7¢ðEÙ TSHZP"T¾[W]8×lJvH�JvÙdT¾Ö�J:QYQSÕ§QS;já`P× á4TYÙdc�Ù c@P�PQSTYHZTS?^JvÙdTS;:?%HZP\Ùdc^;U]K6«ç|?@P�P\GzPÖ\ÙdTSR:Pá³J�Õ§Ù ;§Ö�;:?DÙd× ;:QÇÙdc^PMÖ�;:HZÞ@=@Ù JjÙ TS;:?^J:QIÖ�;>[Ù`Øè;>×©Ùdc@PM?@;>?@QSTY?^PJv×³[;>QSR:P[¢?@P�P�]8P]!TS?%Ù c@PA:QS;:Ý^J:QSTYø�JjÙ TY;>?�TS[�Ùd;È=^[dP%Ö�;:?DÙdTS?U=^JjÙ TS;:?ÊTS?ÀÙ c@P%[ÙdP�ÞêQSP?@AvÙ cËÈ�6+a©c@T¾["[Ùd×lJjÙdPA:ÕÊÖJv?×dP�]8=^Ö\P�Ù c@P"Ö\;>HZÞ@=8Ù JvÙdTS;:?ÇJvQzÖ\;>[Ù4ÝUÕ%Jv?�;:×l]8P×³;>×4H�JvA>?@TYÙd=^]8P:6

0 40 80 1201E-07

1E-06

1E-05

0.0001

0.001

0.01

0.1

1

Newton Steps

Relative Residual

Standard Damping

Nonlinear Elimination

0 2 4 6 8 101E-08

1E-07

1E-06

1E-05

0.0001

0.001

0.01

0.1

1

Newton Steps

Relative Residual

128 grid points

512 grid points

,.-0/ �65^� ¸`g ¯��i�m§� i�mv´�g £�oglmD�lg©¯<k¬��f§m>i�m>�¨knm>g�t�£¢gl�nknr�knmUt��knim§i¦z��f>g4¡�fDij�®�£�glo�kni�m^yC¿P�?@;vÙ PqÙ c^JjÙ|Øè;:×|Ùdc@P§Ö�J>[P�;vØ¢[dc@;8Ölï1á©J�R:P�[\B^Ùdc@P×dP�TS[|=^[d=^JvQSQSÕ![d=8ò�Ö\TSP?>Ù|×dPAvñ

=@Q¾Jv× TÆÙ�Õ1á4TYÙdcÉ×dP�[ÞIPÖ\Ù|Ù ;1A>×dT¾]�]8P?^[dTÆÙ�Õ�Ù ;1J:QSQY;já�A>×dT¾]È[dPõD=@P?^Ö\TS?@AÊâ å@Blävÿjæ+Ù ;!á³;:× ïP\GzPÖ�Ù TSR:P�QSÕ:6ÇF ;já³P�R>P�×B@Øè;:×�[P�Ö\;:?Ç]�;:×l]8P�×�]8T¾[d[dTSÞ^JjÙ TY;>?%HZP�Ùdc@;8]@[�B^Ù c@T¾[ × P�A:=^QSJ:×dTYÙ�ÕZT¾[?@;vÙ©J:[`×dPQYT¾J:Ý@QSP³J>[¢á³;:=@Q¾]§ÝIP|]8P�[TS× P]z6Dû�?�Ù c@P|ÖJ:[dPW;vØ«ÝI;:=^?^]@Jv× Õ�QSJ�Õ>P�×l[+?@PJ:×³[dP�ÞÇJjñ× JvÙdTS;:?KBvA>×dT¾]�×dPA:=@Q¾J:×dTYÙ�Õ�TS[<ÞÇ;U;:×`Jv?^]�?@;>?@QSTY?^PJv×+PQYTSHZTS?^JvÙdTS;:?�[dP�P�H�[&Ù ;"ÝIP P[ [P?DÙdT¾JvQÙd;�J:Ölc^TYPRUTY?^A"×d;>Ý@=^[Ù Ö\;:?UR>P�× A:P�?ÇÖ\P�âÆþvB��@Blþ� jæ�6

ëW[�Ùdc@P�Þ@× PÖ�P]8TS?@AÊP\÷@JvHZÞ@QSP%]@P�HZ;:?Ç[�Ù × JvÙdP[�B}TYÙ§T¾[q?@;:ÙZ?@PÖ�P[ [dJ:×dTSQSÕ�Ùd× =@P1ÙdcÇJjÙTY?DÙ ×d;8]8=^Ö�TS?@AqJ:]^]8TYÙdTS;:?^J:QÇRjJ:×dT¾JvÝ^QYP�[�á4TSQSQÇH�J:ï:PMJq?@;>?@QSTS?@PJ:×`[dÕU[ÙdPH'PJ>[TSP×<Ùd;Z[d;:QSR:P=^[TS?@AÉü P�á©Ù ;:?)0¬[�HZP\Ùdc^;U]K6+_^=@×Ù c@P�×B+Ùdc@P1]8TYGIP×dP?^Ö\P!ÝÇP�Ù�á`PP�?ÚüWP�á©Ù ;:?)0¬[qHZP�Ùdc@;8]JvÞ@Þ@QSTSP]�Ùd;�Ùdc^PMØè=@QSQÃ[Õ8[ÙdPH Jv?^]�üWP�á©Ùd;>?)0¬[©HZP\Ùdc^;U]1JvÞ^Þ@QSTYP�]ZÙ ;�Ù c@P"× P]8=ÇÖ\P]1[dÕU[ñÙdP�H�T¾[4Þ@=^×dPQYÕ!J�]8TYGIP×dP?^Ö\P�TS?�A>QY;>Ý^JvQSTSøJvÙdTS;:?«6>ë ?ÈTS?DÙdP×dP�[�Ù TS?@A�P�÷UÙdP�?Ç[TS;:?�;:Ø&Ù c@P[dPTS]@PJ:[�c^J>[qÝIP�P?ÅÞ@× ;:ÞI;>[dP]ÜÝDÕÅV³J:T³J:?^]m/MPÕ:P�[!â ��æ4TS?Üá4c@T¾ÖlcÚüWP�á©Ùd;>?)0¬[�HZP�Ùdc@;8]TS[|?@;>?@QSTY?^PJv× QSÕZÞ@× PÖ\;>?^]8TYÙdTS;>?@P]1ÝUÕ�J�?@;>?@QSTY?^PJv×�!8ÖlcUá³J:×dø"HZP�Ùdc@;8]z6Ka©c@T¾[ HZP�Ùdc@;8]c^J:[4J:QS[d;qÝIP�P?�[=^ÖÖ\P�[d[Øè=@QSQSÕ§J:Þ@Þ@QSTSP]�Ùd;�Ùdc@P�?^;:ø�øQSP|Þ@× ;:Ý^QYPH']8T¾[dÖ�=^[ [P�]�c@P×dPMá4TYÙdc[TSHZTSQ¾Jv×¢J>Ö�Ö\PQSP�×lJjÙdTS;>?Z;vØ&Ö�;:?UR:P×dA>P�?^Ö�Pv6

� � ¼|yUxzy:ö&i¥DmDo:w:g ��yUt��¾yÜ��·� 7¯�d�98�¢j�?¹dî1¢�«�¹?�[¥g¬�¦�«��®�»�Ö6Õ'µ��?¦`ÕË¦`¥�«�¦ª®m¹?¥�:y±²Ô^§"Ô�Ö#±ë QSQ�ü P�á©Ù ;:?ÉÝ^J:[dP]�HZP�Ùdc@;8]@[�PTÆÙ c@P�×WØè;:×�Jv?ÇJvQSÕ8[T¾[4;>×|;>Þ8ÙdTSHZTSøJvÙdTS;:?1×dP�õD=@TS×dP"[d;:HZPïDTS?^]Ê;vØ©A:QS;:ÝÇJvQSTSøJjÙ TS;:?�Ù ;�Þ@×dPR:P?>Ù�]8TSR:P×dA>P�?^Ö�PqTS?ÉÙdc@PZÖ�J>[P§;:Ø³J1ÞÇ;U;>×�TS?@TYÙ TSJ:Q&J:Þ8ñÞ@×d;�÷8TSH�JjÙ TS;:?�Ù ;"Ùdc^P|[d;:QS=8ÙdTS;>?K6>a©c@P×dP T¾[<JqÞ@QSP\Ù c@;:×lJM;vØÃ[d=^ÖlcZHZP\Ù c@;8]@[<TS?§Ù c@PWQSTYÙdP×ñJjÙd=^×dP:BUH�J:?UÕ�;:ØÃá4c@T¾Ölc%Jv× P|Ö�Q¾J:[ [T¾Ö�J:Q^[d=^Ölc%J:[`Ù c@P�XÃP�R>P�?UÝÇP×dA�OÈJv×lõD=^Jv×l]UÙ¢HZP�Ùdc@;8];:×|Ùdc@P�=^[P�;vØ¢J:?ÊJv=Â:HZP�?DÙ P]�XÃJ:A:×lJv?@A>T¾Jv?1HZP�× TÆÙ4Øè=^?^Ö�Ù TY;>?K6zû�?Ê;:=^×W;:Þ@ÙdTSHZTSøJjÙ TS;:?HZP\Ùdc^;U]KBz[ÙdPÞÉ[dTYøPqÖ\;>?DÙd× ;:QÃT¾[�[;>HZP\Ù TYHZP�[4J:Ölc@TSPR:P]!Ù c@×d;>=@A:cÊ=^[P×�[dÞIPÖ\TYí^P�]ÈÖ\;>?8ñ[�Ù × J:TY?DÙl[ÃÙ c^JjÙ<ÝI;:=^?^]�Ùdc@P Ölc^J:?@A:P³TS?�[d;:HZP©JvP×d;8]8ÕU?^J:HZT¾Ö<õD=^Jv?DÙdTYÙ�Õ:6vû�?�]8P�[TSA>?�J>[+TY?Jv?^J:QYÕ8[dT¾[\B^Ölc^J:?@A:P�[4TS?�QS;UÖJvQÃOÊJ:Ölc�?U=@H�ÝÇP×Wc^J�R>P"Þ@× ;jR:P�?1Ù ;�ÝÇP�P\GzPÖ\ÙdTSR:P�TS?È[d;:HZPÖ�J:[dP[ P�R:P?�Ùdc@;>=@A:cÈÙdc@P�ÝÇ;>=@?^]@[W×dP�õ>=^TY× P]�J:×dP�;:Ø¾ÙdP�?ÊÞ@×d;>Ý@QSP�H ]8P�ÞIP�?^]@P�?DÙ�6Ka©c@P�× PTS[|[;>HZP�×dP�J:[d;:?�Ý^J>[P�]�;:?ÈP�÷UÞIP�× TSP�?^Ö�P�TS?ÈJv?^J:QYÕ8[dT¾[4Ö�J:[dP[ Ùd;�ÝIP�QSTSP�R>PMÙdc^JvÙ�Ö�;:?UR:P×ñA:P�?ÇÖ\P"á³;:=@Q¾]�ÝIPqP?@c^Jv?ÇÖ\P]ÈÝDÕ�[d;:HZPMÙ�ÕUÞIP�;:Ø<HZ;:× P"Jv=8Ù ;:H�JjÙ T¾Ö�[ÙdPÞÉ[dTSø�P"Ö\;>?DÙd× ;:QØè;:×&Ùdc@P©[ÙdP�Þ�TS?�Ùdc^P©]@P[dTYA>?"RjJv× T¾JvÝ@QSP[z;>?^Ö\P`Ùdc^P©]@TY× PÖ\ÙdTS;:?�T¾[&]8P\Ù P�× HZTS?@P]MÝUÕ"[d;:QSRUTY?ÂÙdc@P�;>Þ8ÙdTSHZTSøJvÙdTS;:?È[d=@Ý@Þ^×d;>Ý@QSP�H�6«a©c@P�HZP�Ùdc@;8]@["]@P[ Ö\× TYÝIP]ÉÝIP�QS;jáýJ:×dPZ×lJjÙ c@P�×";>Ý8ñRDTS;>=^[QSÕ§HZ;vÙ TSR�JvÙdP�]�ÝUÕ%?@;>?@QSTS?@PJ:×`PQYTSHZTS?^JvÙdTS;:?ZJvÞ^Þ@QSTYP�]ZÙ ;§Ùdc@P"X}JvA:×lJv?Â:PMü P�á©Ù ;:?HZP\Ùdc^;U]êâ ä��væ·6zaÃ;�Ù Jvï>P"TS?DÙd;�J:ÖÖ\;>=@?DÙ4Ùdc@P�TY?^PõD=^JvQSTYÙ�Õ�Ö\;>?^[Ùd×lJvTS?DÙ [©á³P"TS?>Ù ×d;8]8=ÇÖ\P"JHZP�× TÆÙ³Øè=@?^Ö\ÙdTS;:?�;�<�âÆþ:þ:B�þ�ä�æ�6^ë�ÞI;:Þ@=@Q¾J:×©Ölc^;:T¾Ö\P�T¾[©Ý^J:[dP]!;:?1Ùdc^P"Jv=@A>HZP�?DÙdP�]!X}JjñA:×lJv?@A>TSJ:?K6DC¿P"]8;§?@;:Ù c^J�R:PMJ�HZP\Ù c@;8]�Ù ;ZPJ:[dTSQSÕ§J:Þ@Þ@QSÕZ?@;>?@QSTY?^PJv×`P�QSTSHZTS?^JjÙ TY;>?�Ùd;Ùdc@P�[P�Ö\;:?Ç[�Ù × J:TY?DÙl[4á4TYÙdc�Ù c@P�P�÷@Ö\P�Þ@ÙdTS;:?�;:Ø¢Ö\P�×dÙ J:TS?ÈÖ\;:?Ç[�Ù × J:TY?DÙl[4;:?ÊÖ�;UP\ò�Ö\TSP�?DÙl[ ;vØQYTYØ¾Ù¢J:?^]§Þ@TYÙ Ölc@TS?@AMHZ;>HZP�?DÙ�á4c@T¾Ölc�ÖJv?ZÝIP P�?8Øè;>× Ö�P]§P�÷8J>Ö�Ù QYÕqTY?�Ù c@P|[Ù JvÙdP4PõD=^JvÙdTS;:?[;>QYR>Pv6

7¯�?�=8G¢j�d¹?î�¢�«#¹d�i¥w¬�¦ª«#G�]®?>g�V`c@;U;>[dPUÈ � Ùd;§HZTS?@TSHZTSø�PcTIß=< � fmÈ � ~ P > � 49> � fmÈ � P > � à�f@;�<�³J>[P�]§;:?%Ùdc@P�;:Ý^[dP�× RjJjÙ TY;>?�Ùdc^JvÙ©J�ÞÇ;U;>×`TS?@TYÙdT¾J:Q@A:=@P�[d[¢Øè;:×`Ùdc^P�[Ù JvÙdP�PõD=^JjÙ TS;:?^[

Ö�Jv?1× P[d=@QYÙ³TS?�[�ÙlJvA:?ÇJjÙdTS;>?�;vØ&P�R:P?1J�A>QY;>Ý^JvQSTSø�P�]§ü P�á©Ù ;:?)0¬[©HZP\Ù c@;8]!J:?^]%Ùdc^JvÙ4Ùdc@T¾[[TYÙd=ÇJjÙdTS;>?Éá©J:[M;:Ø¾ÙdP�?êP?^Ö\;>=@?DÙdP×dP�]ÉTS?ê[ÙdP�ÞÚä^ßèÝÇà�;vØ©Ùdc@P![;>QY=@ÙdTS;:?ÀJ:]@J:Þ8ÙdTSR>P§J:QSA:;vñ×dTYÙdc^H']8T¾[dÖ�=^[d[dP]�TY?�[dPÖ�Ù TS;:?�å�á4c@P�?1=^[dTS?@A�OÈP\Ùdc^;U]�A%þvB^J�A:QS;:ÝÇJvQSTSøJjÙ TS;:?qHZP�Ùdc@;8]Ùdc^JvÙ}H�JvTS?DÙ J:TS?^[@Ù c@P`[ JjÙ T¾[�ØºJ>Ö�ÙdTS;>?|;:ØDÙ c@P`[Ù JvÙdP<P�õD=^JjÙ TY;>?^[IÙd;�[;>HZP+QYPR:PQv;vØ^J>Ö�Ö\=^× J>Ö\ÕØè;:×4PJ>Ölc1ÖlcÇJv?@A>P|TS?!Ùdc@P"]8P�[TSA>?%RjJv× T¾JvÝ@QSP[`á©J:[³TSHZÞ@QSP�HZP�?DÙ P]z6

7¯�?�=8G¢j�d¹?î�¢�«#¹d�i¥w¬�¦ª«#G�]®?>'°V`c@;U;>[dPhÈ � Ùd;MHZTS?@TSHZTSø�P�TIß Q< � 49> � f^È � P > � à�fB;�<�B>á4c@P�× P Q< � T¾[�]8P�ÙdP�× HZTS?@P]ÝUÕ¿[d;:QSRUTS?@A1Ùd;Ê[d;:HZPZQSP�R>P�Q<;:Ø J:Ö�Ö�=@×lJ:Ö\ÕÊÙdc@P1[�ÙlJjÙ P�PõD=^JvÙdTS;:?';Zß Q< � 4B> � fÈ � P > � à 3 86[!8P\Ùc< � É @ 3 Q< � Jv?^]²> � É @ 3 > � fËÈ � P > � 6ë ?ÊJ:QÆÙ P�× ?^JjÙ TSR:P�TS[ Ùd;!Þ^Jv×dÙdTYÙdTS;>?@TS?@AqÙ c@P�[Ù JvÙdP�PõD=^JjÙ TS;:?^[4TS?DÙd;�Ù�á`;%[d=@Ý^[dP\Ùl[�;A@

Jv?^]Î; D J:?^]ÊÙdc@PZ[Ù JjÙ P§R�J:×dT¾J:Ý@QSP[ TS?DÙd;�Ö\;>×d× P[dÞI;:?^]8TS?@A![=@ÝÇ[P�Ù [¼< @ Jv?^]¶< D [d=^ÖlcÙdc^JvÙ|A:TSR>P�?�< @ ;:?^PqÖ�J:?È[;>QYR>Py; D Øè;:×.< D 6za©c^P�?È;>?@PqÖ�J:?ÊJvÞ^Þ@QSÕ%?@;>?@QSTY?^PJv×4PQSTYH§ñTY?ÇJjÙdTS;>?êÙd;Ï; D 6³ç|?@P�;:ÝURUTS;:=^[�Ölc@;:T¾Ö�P%T¾[�Ùd;¿Ù J:ï:P�; D Ùd;ÀÝIP1Ùdc@P�ÝI;:=@?Ç]@Jv× ÕêQ¾J�Õ:P�×PõD=^JjÙ TS;:?^[©Jv?Ç]^< D Ùdc^P�ÝÇ;>=@?^]@J:×dÕ�Q¾J�Õ>P�×³R�J:×dT¾J:Ý@QSP[�6

¸³i�m>�nk¨m>g�t�£`Ä«�nk¨r�knmDt��kni�m§knmZ�¢g £�iv¤:u:mDtr�kn�©�¢mUt�¬u:¡�kn¡¢tmU¤�¼©gl¡�kno�m�{³s:��knr�k¨°lt��kni�m �\�

7¯�?�=8G¢j�d¹?î�¢�«#¹d�i¥w¬�¦ª«#G�]®?>Ï�V`c@;U;>[dP¨È � Ùd;ÜHZTS?@TSHZTSø�P�TIß Q< �D 49< �@ fpÈ � P < �@ 49> � fÆÈ � P > � à�fC; < B©á4c@P�× PQ< �D T¾[1]8P\Ù P�× HZTS?@TS?@AêÝUÕì[;>QSRDTS?@AÀÙ ;Û[d;:HZPÉQSP�R:PQ|;:Ø�J:ÖÖ\=@×lJ:Ö�ÕÛÙdc@Pê[Ù JjÙ PPõD=^JvÙdTS;:?¨;GDDß Q< �D 49< �@ fwÈ � P < �@ 49> � fsÈ � P > � à 3 1Jv?^] P < �@ T¾[M]8P�ÙdP�× HZTS?@P]ÝUÕZ×dP�[�Ù ×dT¾Ö�Ù TS?@A ~ P > � 6,!UP�Ù|< � É @D 3 Q< �D B`< � É @@ 3 < �@ f¨È � P < �@ BUJ:?^]�> � É @ 3> � fmÈ � P > � 6a©c@P"Ö\;>HZÞ@=8Ù JvÙdTS;:?ÇJvQzÖ\;>[Ù ;vØ+A:QS;>Ý^JvQSTSøJvÙdTS;:?�HZP\Ù c@;8]�A�ä§ÖJv?�ÝÇP"]@× J:H�JjÙdT¾ÖJvQSQSÕ

×dP�]8=^Ö\P�]ÀÝUÕÊ=^[dTS?@AÈÖ\;>?>Ù TS?D=ÇJjÙdTS;>?ÊTS?ËÈ�Ù ;ÈA:P?@P�×lJjÙ PZTY?^TÆÙ T¾JvQ+A:=@P�[d[dP[�Øè;:×"Ù c@P%[Ù JvÙdPPõD=^JjÙ TS;:?Ú[d;:QSR:P�[\6&û�?ÚH�J:?DÕêÖJ:[dP[�B&Ù c@P1TY?^TÆÙ T¾JvQ¢A>=@P[ [�A:P�?^P�×lJjÙdP�]ÜÝUÕÀÙdc^TS[�Ö\;>?DÙdTS?8ñ=^JjÙ TY;>?ê[�Ù × JvÙdP�A>ÕÉT¾[�A>;U;U]ÜP�?@;>=@A:cÀÙ c^JjÙ�;:?@QSÕÉJÊ[TS?@A>QYP�üWP�á©Ù ;:?Ü[ÙdP�ÞÚTS[q×dP�õD=@TS×dP�]Øè;:×WJ>]8PõD=^JvÙdPqÖ�;:?UR:P×dA>P�?^Ö�PWØè;>×WJZ?@Pá RjJ:QY=^P�;vØAÈ�6ÇC¿P�Ö�J:?1=Ç[=^J:QSQYÕZ=Ç[P�Ù c@Pq[ JvHZPÞ@×dP�Ö\;>?^]8TYÙdTS;:?^P�×+Øè;:×4J:QYQÇRjJvQS=@P[¢;vØ�È68ðW[dTS?@A"Ù c@P[dP�[Ùd×lJjÙ P�A>TYP�[\B:Ùdc@PMÖ\;D[�Ù³;vØ«Ù c@P|A>QS;:Ý8ñJvQSTSøJjÙ TS;:?qÖJv?§ÝÇP|×dP�]8=^Ö�P]�Ùd;�Ù c^JjÙ`;vØz;:?@P ;>×�Ù�á³;�?@;:?@QSTS?@P�Jv×�[�ÙlJjÙ P4PõD=^JjÙ TS;:?§[;>QYR>P[;:?�JZÖ\;:HZÞÇJv×lJvÝ@QSP A>×dT¾]z6

N�P�?@P× J:QYQSÕ:BU;>?@P�;vØ+Ù c@Pq[ JvQSTSP�?DÙ©ØèPJjÙ =@× P[4;:Ø�Ö�;:HZÞ@× P[ [dTYÝ^QYP|RUTS[ Ö\;>=^[³î^;já [4T¾[©Ù c@PØºJ:Ö�Ù©Ù c^JjÙ³Ùdc@PM× P�A>TY;>?Z;vØ+JjÙÙ × J>Ö�Ù TY;>?§Øè;:×4ü Pá©Ùd;>?)0 [³HZP�Ùdc@;8]�T¾[³R:P×dÕZ[dH�JvQSQ�6:û�?!ØºJ:Ö�ÙBØè;:×�Ù c@P|ÖJ:[dP4;vØK[�Ù ×d;>?@A"[c^;UÖlï8[<J:?^]§JvQ¾[d;|Øè;>×<ÝI;:=@?^]^Jv× Õ�Q¾J�Õ:P×�Ö\;:=^Þ@QSTY?Â@BvÖ�J:×dP�Øè=@Q^JjÙdñÙdP�?DÙ TY;>?"Ù ;�A>QS;:Ý^J:QYTSø�JjÙdTS;>?|[Ùd×lJjÙdPA:TSP[ÃT¾[&J:Ý^[d;:QS=8ÙdPQSÕ|P�[d[dP�?DÙdT¾J:Q:Ù ;MJ>Ölc@TSP�RUTS?@A©Ùdc^P4ïDTS?^];vØ8×dPQSTSJ:Ý@QSPÃÖ\;>?UR:P�× A:P?^Ö\P+× PõD=@TS× P] TS?�Ùdc^P<TS?^]8=^[Ùd× T¾JvQ�P�?@A>TS?@P�P×dTS?@A³P�?URUTS×d;>?@HZP�?DÙ�6\_^;:×[c@;8Ölï§á©J�R:P[|â ä:ÿjæ�B>PTÆÙ c@P�×³A:× T¾]ZÖ\;>?>Ù TS?D=ÇJjÙdTS;>?KB>Ö\;>?DÙdTS?U=^JjÙ TY;>?�TS?%J:×Ù TYíÇÖ\T¾JvQ^RDT¾[ Ö\;D[TYÙ�ÕvB;:×4?@;>?@QSTY?^PJv×³P�QSTSHZTS?^JjÙ TS;:?ZT¾[©P\GzPÖ\ÙdTSR:P:6^_@;:×4ÝI;:=^?^]@Jv× Õ%Q¾J�Õ>P�×©Ö\;:=^Þ@QSTY?Â1âÆþvB��jæ�B@?@;>?8ñQYTS?@P�Jv×|P�QSTSHZTY?ÇJjÙdTS;>?!c^J>[�Þ@×d;jR>P�?ÊÙdc@P§HZ;>[Ù�[dJvÙdT¾[�ØºJ>Ö�Ù ;:× Õ1[Ùd×lJjÙ P�A:Õ�P�[ÞIPÖ�TSJ:QSQYÕ1?@P�Jv×;:×WÝIP�Õ>;:?^]�[dP�ÞÇJv×lJjÙdTS;>?K6@a©c@T¾[ T¾[4Þ@× ;:Ý^J:Ý@QSÕ%]8=@PqÙd;ZÙ c@PqÝ^TÆØè=^× ÖJjÙdTS;>?^[©ïU?@;já4?1Ùd;�ÝIPÞ@×dP�[P?DÙWTS?�?@;:?@QSTS?@P�Jv× [dÕU[ÙdPH�[4× P�Þ@× P[dP�?DÙdTS?@A�[d=^Ölc�î^;já í^PQ¾]@[\6zë ?@;:Ùdc@P×�Ö�;:?DÙdTS?U=8ñJjÙdTS;>?ÉHZP�Ùdc@;8]ÊØè;:×"RUT¾[dÖ�;:=^[|î^;já [�Ù c^JjÙ�c^J:[�ÝIP�P?À=@?@P\÷8Þ@QS;>×dP�]ÊÝUÕ�Ù c@P%Jv=@Ùdc@;>× [MT¾[Ö\;:?DÙ TY?U=^JvÙdTS;:?ZTS?1L4P�ÕU?@;>QS]^[`?U=@H�ÝIP�×6DûªÙ4T¾[©JvQ¾[;qÙd× =@P�Ùdc^JvÙ4A:P�?^P�×lJvQSQSÕ�JvP×d;8]8ÕU?^J:HZT¾Ö;:Þ8Ù TYHZTSø�JjÙdTS;>?�Þ^×d;>Ý@QSP�H�[¢J:×dPM?@;:Ù4á`PQYQzÞI;>[dP]!á4TYÙdc@;>=8Ù³× P�A>=@Q¾Jv× TSøJjÙ TS;:?�á4c@T¾Ölc!J:]^]@[Jv?@;:Ùdc@P×<P�QSP�HZP?DÙ<;vØ«]8TYò�Ö\=@QYÙ�Õv6`!UTS?^Ö\P4Ù c@P�× PWJ:×dP J:?ZP[ [P?>Ù T¾JvQSQSÕ�TY?@í^?@TYÙdP4?U=@H�ÝÇP×<;vØá³J�Õ8[+Ù ;qÞI;>[dPWJ"A>TYR>P�?§P�?Â:TS?@P�P×dTS?@A�;:Þ@ÙdTSHZTSøJjÙ TS;:?qÞ^×d;>Ý@QSP�H�BvTYÙ`?@;:Ù`JvQSá©J�Õ8[+PJ:[dÕ�Ùd;]8P\Ù P�× HZTY?^P|á4c@T¾Ölc!á³J�ÕZT¾[©HZ;>[Ù4JvHZP�?ÇJvÝ@QSP Ù ;Z?U=@HZP�× T¾Ö�JvQÇ;:Þ8Ù TSHZTYø�JjÙ TY;>?§;:×4c@;jáìÙd;×dPA:=@Q¾Jv× TSø�P4Ù c@P�Þ@× ;:Ý@QSPH TÆØ&TYÙ©T¾[³TSQSQÆñªÞI;>[dP]z6Ü�� Ó ) �[Õ'µG³�«#¢j«#¹?�[¥G¢j�nÝ.×]¢jÕ'µ��?¦`»�¹d¥sÔ^¦ª¤Z�]®D�]¥�¢jÕm¹?� ð ¦`»�¹?£[¥û�?ÊÙ c@T¾[�[dPÖ\ÙdTS;:?«BIá³P�]@TS[ Ö\=Ç[d[WÙdc@P§× P[d=@QYÙ [|;vØ`J:Þ@Þ@QSÕUTS?@AZÙdc^P[dP�A>QS;:Ý^J:QYTSø�JjÙdTS;>?%HZP\Ù c8ñ;U]^[©Ùd;�Øè;:=^×4?@;:?@QSTS?@P�Jv×³QYP�J:[Ù [dõD=^J:×dP�[`Þ^×d;>Ý@QSP�H�[�6@ç|?@PM;:Ø}Ù c@P�HZ;vÙ TYRjJvÙdTS;:?^[<Øè;:×4Ù c@PTY?DÙ ×d;8]8=^Ö\ÙdTS;:?¿;vØ4Ù c@P[dP�HZP�Ùdc@;8]@[qá³J>[MÙdc@P!ÞÇ;D[d[dTSÝ@TSQSTÆÙ�Õ�Ù c^JjÙ�JÈ]8P[dTSA:?ê[ÙdP�ÞÅÖ\;:=^QS]×dP�[=@QYÙqTS?ÚJÉ[=@òZÖ�TSP�?DÙdQSÕ¿QSJ:×dA>P�Ölc^Jv?Â:P�TS?êÙ c@P!A>P�;>HZP\Ùd× ÕÈÙ c^JjÙ§;:?ÜÙdc@P1?@P\÷UÙ§A:× T¾]Ùdc@PZJv?ÇJvQSÕ8[T¾[ Þ^×d;>Ý@QSP�H�?@;:?^QYTS?@P�Jv×�[;>QY=@ÙdTS;:?�Þ@× ;8Ö\P�[d[|á`;>=@Q¾]È?@;:ÙMÖ�;:?UR:P×dA>Pv6zû�?É;>=@×P\÷8ÞÇP×dTSP?^Ö\P:BvØºJvTSQS=@× P`Ù ;qÖ\;>?UR:P�× A:P©;>?�J�A:TSR:P?�A>×dT¾]�T¾[�×lJv× P�QSÕ"TSHZÞ@× ;jR:P]qÝUÕ�A>;:TS?@AM;:?Ùd;%JZ?^P�á�A:× T¾]z6Ça©c@T¾[ ]8T¾]�TS?�ØºJ:Ö\ÙWc^J:Þ@ÞÇP?ÈTS?�[PR:P�×lJvQ}Ö�J:[dP[ P\÷@JvHZTS?@P�]%c@P×dPqá4c@P�?=^[TS?@A1A:QS;>Ý^JvQSTSøJvÙdTS;:?�A�þ:6«û�?ê[;>HZP�Ö�J>[P�[\BKÙ c@T¾[MÖ�Jv?¿ÝIP�HZTYÙ TYADJjÙ P]�ÝUÕÈ=^[dP�×�[dÞÇP�Ö\TYñí^P]ÉÖ\;:?Ç[�Ù × J:TY?DÙl[\6ÇðW?8Øè;:×dÙd=^?^JjÙ P�QSÕvBK[ÞIPÖ�TYíÇÖ�JvÙdTS;:?�;vØ¢Ùdc@P�[P§Ö\;>?^[�Ù × J:TS?>Ùl[4T¾[ Þ@× ;:Ý^QYPH]8P�ÞIP�?^]@P�?DÙ�6

�l� ¼|yUxzy:ö&i¥DmDo:w:g ��yUt��¾y

C¿P<?^;vÙdP+Ù c^JjÙ}TY?MÙ c@T¾[«Ö�J>[P�;:ØUJ QYP�J:[Ù«[dõD=^J:×dP�[z;:Ý8ú�P�Ö�ÙdTSR>PvB�Ùdc^P¢HZP\Ù c@;8]�P�HZÞ@QS;jÕ:P�]TY?§a4L ë|üWë û�L�T¾[&Ù c@PWNMJv=^[ [�ü Pá©Ùd;>?�HZP�Ùdc@;8]z6vû�?�Ù c@P Ö�J>[P³ÙdcÇJjÙ�Ùdc^P4×dP�[T¾]8=^J:Q¾[}J:×dP?@PJ:×dQSÕ%øP�× ;%JjÙ|Ùdc@P�[;>QS=8ÙdTS;:?«B^á`P�[c@;>=@Q¾]�P\÷8ÞIPÖ�Ù�Ùdc^Pq×lJvÞ@T¾]�Ö\;>?DR>P�× A:P?^Ö\P"Ölc^J:× J>Ö�ñÙdP�× T¾[�Ù T¾Ö|;:Ø¢ü Pá©Ùd;:?]0 [WHZP\Ùdc^;U]1Øè× ;:H�JZÞ@× ;:ÞIP�× QSÕZØè;:× H�=@Q¾JjÙdP�]![dP�?Ç[TYÙdTSRUTYÙ�ÕZHZP\Ù c@;8]z6a©cD=Ç[\BvÙ c@T¾[&Ù�ÕUÞÇP©;vØIÙdP�[�Ù¢ÖJ:[dP©TS[+TS?§[;>HZP³[dP�?Ç[P©QSP[ [+Ölc^JvQSQSP�?@A>TS?@A©Ùdc^J:?�Ùdc@P4Þ@× ;:Ý^QYPH;vØ+HZTY?^TYHZTSøTY?^AMJ§[ Ö�J:QSJ:×`;>Ý8ú�PÖ\ÙdTSR:P:6,!U=@Þ@ÞI;>[dP�Ùdc@P"Ö�;>[Ù³Øè=^?^Ö�Ù TY;>?¯T�TS[©A>TSR:P�?%ÝDÕT 3 þ

äFE� � ��@ Ð D� 5û�?!Ù c@T¾[4Ö�J>[P:B8Ùdc@PM× P]8=^Ö�P]1A:×lJ:]@TYP?DÙ³Jv?Ç]!× P]@=^Ö\P�]!FWP[ [T¾Jv?1Jv× P|A>TSR:P�?!ÝUÕk Tk > � 3 E� � ��@ ÐE� k ÐE�k > � 4 G 3 þ�4�ä`4#5Ê5 5Ê49}¨4k D Tk >,� k > X 3 E� � ��@ k Ð7�k > X k Ð7�k >j� f E� � ��@ Ð � k D Ð7�k >,� k > X 4 �B4HG 3 þ�4lä�465 5Ê5 4B}¶5 ß·ä>ä:à

ûªØ<Ùdc@P�Ð7�¢J:×dPq[dH�JvQSQ�B8Ùdc^P�[dPÖ\;>?^]�Ù P�× H TS?ÈP�õD=^JjÙ TY;>?êß·ä:ä>à©Øè;>×WÙ c@P�FWP[ [T¾Jv?ÈÖJv?�ÝIP?@P�A>QYP�Ö�Ù P]1Jv?^]1J§A:;U;8]!J:Þ@Þ@× ;�÷8TYH�JvÙdTS;:?�Ù ;§Ùdc@P�× P]8=ÇÖ\P]�FWP[ [T¾Jv?!T¾[©A:TSR:P?%;:?^QYÕ%TY?ÙdP�× H�[³;vØ&Ùdc@P"[dP�?Ç[TYÙdTSRUTYÙdTSP[

I��·� � 3 k Ð7�k > � 3 V�Ð7�V[> � f F�\7�G@ V�Ð7�V[<�\ k < \k > �C¿P¢ÖJv?M?@;já¿á4×dTYÙ P&P�õD=^JjÙ TY;>?�ß��vàITS?�Ùdc@P<Øè;:× HJI H I P > 3Æo I H Ð�6�a©c@T¾[zT¾[zPõD=@TSRjJvQSP?>ÙÙd; Ù c@P¢QSP�J:[Ù}[dõD=^J:×dP�[«Þ@× ;:Ý^QYPH O�û�üLKMK I P >�fyÐ�KMK D á4c@T¾ÖlcqÖJv?�ÝIP³[d;:QSR:P�]�ÝDÕMJvÞ^Þ@QSÕDTS?@AJ�Ö�;:?^[Ùd×lJvTS?@P�]�QSTS?@PJ:×`QSP�J:[Ù©[ õD=^Jv× P[©[d;:QSR:P×�6

a©c@PZÙdP�[�Ù�Ö�J:[dP[q]8T¾[dÖ�=^[d[dP]¿TS?¿Ùdc@T¾["[dPÖ\ÙdTS;:?êJ:×dPZÞ@× P[ [d=@×dPZH�JvÙ Ölc@TS?@A�Ö�J>[P�[�TS?8ñR:;:QSRUTS?@A|J|ÙlJv× A:P\Ù�Þ@× P[ [d=@×dP4]8T¾[Ùd× TSÝ@=8ÙdTS;>?";:Ý8ÙlJvTS?@P�]qÝUÕ�J:?^JvQSÕUø�TS?@A|Jv?ZJvTS×dØè;:TSQD[dPÖ\ÙdTS;:?[TSHZTSQ¾Jv×|Ùd;ÈÙ c@PÈç�ü��¢LWë OÈÿÈ[dPÖ\ÙdTS;:?«6&a©c@P!TY?^TÆÙ T¾JvQ¢J:TY×dØè;:TSQ�á©J:["Ùdc@P1üWëWV³ë� � @þ�äU6a©c@P�;:Ý8ú�P�Ö�Ù TYR>PWØè=^?^Ö�Ù TY;>?!T¾[ T 3 þ

äFE� � ��@ LÎ\ âÆßdÐON>à�� o ß QÐON>à��Sæ Dá4TÆÙ cÛÙdc@PÈá³P�TSA>c>Ùl[ L � ÙlJvï>P�?ÛÙd;êÝIP�Ùdc^PÊ[=^×ØºJ>Ö\P�Þ^J:?@P�Q|QYP?@AvÙ cÛØè;:×ZÙ c@PÊ[d=@×ØºJ>Ö\PÞÇ;>TY?DÙWTS?ÊõD=@P�[�Ù TS;:?K6Ça©c^PqÞ@× P[ [=^×dPqÖ�;UP\ò�Ö\TSP�?DÙl[ ;:?�Ù c@P§JvTS×Øè;>TSQ«Jv× P%ß?Ð N à � Jv?^]êß QÐ N à �Jv× PZÙdc@P%Ù J:×dA>P\Ù"Þ@× P[ [=^×dP%Ö�;UP\ò�Ö\TSP�?DÙl[\6}a©c^P�í^×l[�Ù�Ö�J:[dP�=^[dP]¿Ù c@P�îÇ;já Ö�;:?^]@TÆÙ TS;:?^[P@Q 3 �5 ��ÉJv?Ç]@R 3 þ�5ÿ 86<_&TSA:=@× P1å¿[dc@;já [�Ùdc@P�TS?@TYÙdT¾J:Q¢A:P;:HZP�Ùd× ÕvB&Ùdc@P1Ù J:×dA>P\ÙA:P�;>HZP\Ù ×dÕ:BIJv?Ç]ÊJvQ¾[d;ZÙdc^P�TS?@TYÙ TSJ:QÃÞ@× P[ [d=@×dP�]8T¾[�Ù ×dTSÝ@=@ÙdTS;:?êßè;>?ÉJ%í^?@P§A:× T¾]^à4J:?^]ÈÙ c@PÙ Jv× A:P�Ù4Þ@×dP�[d[d=@× P�]@TS[Ùd× TSÝ@=8Ù TY;>?K6

û�?ÉÙ c@P[dP�Ö�J>[P�[�J�Q¾Jv× A:Pq?U=@H�ÝIP�×�;vØ©A:× T¾]@[Má©J:[M=^[dP]ÉÙd;�P�÷@JvHZTS?@P�J>[ÕUHZÞ8Ù ;vÙ TSÖÖ\;:?UR>P�× A:P�?ÇÖ\PWT¾[ [=^P[�68_^;:×©Ù c@T¾[4Ö�J:[dP�Ùdc@P�A>×dT¾]%á³J>[¢Øè× ;:øP�?�JjØ¾Ù P�× A>×dT¾]Èþ_�U6@a©c@P�A>×dT¾]Uñ]8TS?@A�T¾[<[;>QS=8ÙdTS;:?�J:]@J:Þ8ÙdTSR>P©J:?^]�Ùdc^P ?U=@H�ÝIP�×l[+;vØzí^?^TÆÙ P P�QSPHZP�?DÙ [&TS?§Ùdc@PWA:× TS]^[+á`P×dP


0.00 0.20 0.40 0.60 0.80 1.00-0.06

-0.05

-0.04

-0.03

-0.02

-0.01

0.00

0.01

0.02

0.03

0.04

0.05

0.06

X

Y

Initial airfoil

Target airfoil

0.0 0.2 0.4 0.6 0.8 1.01.5

1.0

0.5

0.0

-0.5

-1.0

-1.5

X

Cp

Initial NACA0012

Target

,.-0/ ��SI�=T gli�r�gd��£�u�t�mU¤q¡�i��n¥>��kni�m§¦Yi£¢¼©gl¡�knom��Çg�t�¡ª�©�:µj¥Ut�£�g ¡¢p+t¡�g�yþ#�1�@BDù��ª�DBj�jù^þvBÇþ�ù1��8BUä:ÿ��1 8Bª��jå��@BDÿ>ù1�1�@B`�jùª�1�8Bª�vå��Z�@Bª�>ä:ùvå^B^þ# >ÿ1 :ÿ@B^þ�ä>äjåDÿ8B^þ�ù@þ�åª 8Bþ�å��>ù:ÿ@B�J:?^]1þ��:ä1�1�@6�a©c@T¾[}í^?^J:Q@A:× T¾]�T¾[+×dPÞÇP�JjÙ P]�J|?U=@H�ÝIP�×+;vØIÙdTSHZP[�6va©c@P4Ö�J>[P©á©J:[×d=@?�á4TYÙdc�A:QS;:Ý^J:QSTYø�JjÙ TY;>?WHZP�Ùdc@;8]@[.A%þ4Jv?^](A�ä86vû�?qÙ c@P©TS?DRUT¾[ Ö\T¾]�Ö�J>[P:B�Ù c@P�× P³TS[&QSTYÙÙ QYP]8TYGIP×dP?^Ö\P�ÝÇP�Ù�á`PP�?%Ùdc@PMA:QS;>Ý^JvQSTSøJvÙdTS;:?^[&ÝIPÖJv=^[dPWÙ c@P�[�Ù P�Þ�[TSøP|[dP�QSPÖ\ÙdP]%T¾[³J:QSHZ;>[ÙJvQSá³J�Õ8[}=@?@TYÙ�Õv6Da©c@P�× P Jv× P4[;>HZP³A>×dT¾]@[}Øè;>×<á4c@T¾Ölc�A>QS;:Ý^J:QYTSø�JjÙdTS;>?UA%þ [dP�PH�[&Ùd;"[d=8GIP×Øè×d;>H JMÞI;U;:×`[ÙdPÞZá4c@P�× P4Ù c@PWJvA>×dPP�HZP?>Ù�ÝIP\Ù�á³P�P?§Ùdc@PW[dP�?Ç[TYÙdTSRUTYÙ�Õ�Þ@× P]8T¾Ö�Ù TS;:?§Jv?^]Ùdc@P"J>Ö�Ùd=ÇJvQK× P[d=@QYÙ³T¾[©ÞI;D;>×�B@Ý^=8Ù4Ùdc@PÕ!J:×dP�TS?8Øè×dP�õD=@P�?DÙ�6

_}TSA>=@×dP��[c@;já [ Ùdc@P�Ö\;>?DR>P�× A:P?^Ö\P�c@T¾[Ùd;>×dÕ%Øè;:× Ù c@T¾[|ÖJ:[dPv6��`;:Ùdc�Ù c@P�;>Ý8ú�PÖ\ÙdTSR:PØè=@?^Ö�Ù TS;:?êJv?^]ÉÙ c@PZP[ÙdTSH�JjÙ P]Ê×dP�]8=^Ö\P�]¿A:×lJ:]8TSP�?DÙ�Jv× PZ[c@;já4?êJ>[�Øè=@?^Ö�Ù TS;:?^[M;:Ø³Ù c@PA:× TS]�?U=@H�ÝIP�×6©a©c@P×dPÀJv× PÈÙ�á³;ÚRjJ:QY=^P[!;vØ"Ù c@PÀ;:Ý8ú�P�Ö�ÙdTSR>PÊ[c^;já4?½Øè;:×1PJ>ÖlcìA>×dT¾]z6a©c@P"í^×l[Ù|× P[d=@QYÙ [©Øè× ;:H0Ùdc@P§Jv?ÇJvQSÕ8[T¾[³;vØ¢J§í^÷UP�]�Ùd×lJv?Ç[Þ@TS×lJjÙ TY;>?1]@=@P"Ù ;ZÙdc@P�TS?@TYÙdT¾JvQR�J:QS=@P[%;vØ�Ùdc^PÉ]8P�[TSA:?ãRjJ:×dT¾JvÝ^QYP�[�;:?ãÙ c^JjÙ1A:× TS]K6³a©c@P¿[P�Ö\;:?Ç]�R�J:QS=@PÈT¾[ZÙ c@PÊÝIP[ÙP[ÙdTSH�JjÙ P|;:Ø}Ù c@P";:Ý@ú�PÖ�Ù TSR:PMJjØ¾ÙdP×4Ùdc^P�=@ÞI]^JjÙdTS?@AZ;:Ø}Ù c@P"]8P�[TSA:?�Jv?Ç]%îÇ;jáìRjJv× T¾JvÝ@QSP[;:?ÛÙdc^JvÙ%A:× T¾]z6S!UPR:P�× P�;>[ Ö\TSQSQ¾JjÙdTS;>?¿TS?^]@TSÖJjÙ P[�Ùdc^JvÙ�Ùdc^PÈP[ÙdTSH�JjÙ P]ÚR�J:QS=@P[§;:Ø�Ù c@P;:Ý8ú�P�Ö�ÙdTSR>P�Jv× PZ[P×dTS;>=^[QSÕ!TY?ÇJ:Ö�Ö�=@×lJjÙdP:6«a©c@T¾[�ÖJv?¿ÝÇPZ]8=^P§Ùd;�J!]@P[dTYA>?É[ÙdPÞÉÙ c^JjÙ�T¾[ÝÇPÕ:;:?Ç]êÙdc^P!×lJv?@A>P�;vØ|R�J:QSTS]@TÆÙ�ÕÉ;vØ4Ù c@P�QYTS?@P�Jv× TSø�P]ÉHZ;8]8P�Q³;vØ4Ù c@P�[�ÙlJjÙ P%RjJv× T¾JvÝ@QSP[=^[P�]1TY?!Ùdc^P�;:Þ8Ù TYHZTSø�JjÙdTS;>?�[=@Ý^Þ@×d;>Ý@QSP�H�6^ç|?!P�Jv× QSÕZA:× TS]^[\B8TYÙ Ö�Jv?�× P[d=@QYÙ`Øè× ;:H0A:× T¾]Ùd;�A:× T¾]ÊÖlc^J:?@A:P�[|TS?ÊÙdc@P�[d;:QS=8Ù TY;>?Ê]8=@P�Ù ;È[;>QY=@ÙdTS;:?ÈJ>]@JvÞ8Ù TSR:P�A:× TS]È×dP�í^?@P�HZP?DÙ�6«ûªÙ[c@;>=@Q¾]ZÝIP|?@;:ÙdP�]ZÙdcÇJjÙ³í^?@TYÙdPM]8TYGIP×dP?^Ö\P�[¢J:×dP|=^[P�]ZÙ ;�QSTS?@PJ:×dTSøP³RjJ:×dTS;:=Ç[<?@;>?@QSTY?^PJv×Ö\;:HZÞI;:?^P�?DÙ [�;vØ`Ùdc@PZ;>Ý8ú�PÖ\ÙdTSR:P§Jv?Ç]É[Ù JvÙdP§PõD=^JvÙdTS;:?^[�6)�`P�Ö�J:=^[P§;:Ø¢Ùdc^TS[�ØºJ>Ö�ÙB«TÆÙ�T¾[?@;vÙ"P�÷UÞIPÖ\ÙdP�]ÊÙ c^JjÙ�Ù c@PZ× P]8=^Ö�P]ÉA:×lJ:]8TSP?>Ù�Ö�J:?ÉÝIP�× P]8=ÇÖ\P]ÉÝUÕÊJ1ØºJ:Ö\Ùd;>×�A:× PJjÙ P�×Ùdc^J:?êÙdc@P1[dõD=^J:×dP%×d;U;vÙ�;vØ4H�J:Ölc@TS?@PZÞ^×dP�Ö\T¾[TS;>?Ûßº×d;>=@A:c@QSÕÅþ# t+V TS?ÀÙdc@T¾[�Ö�J:[dP�à"Jv?^]Ùdc@T¾[�TS[qÝÇ;>×d?Ú;:=8Ù§ÝUÕÉÙ c@P�Ö\;:HZÞ^=8Ù JvÙdTS;:?^J:Q�×dP�[=^QÆÙl[\6+a©c@P1R:P�×dÙdT¾ÖJvQ<QSTS?@P%JvÙ�A:× T¾]�þ��TY?Ç]8T¾Ö�JjÙ P[`Ùdc^P�ÞÇ;>TY?DÙWJvÙ á4c@T¾Ölc%Ù c@P�A:× T¾]%T¾[³Øè× ;:ø�P?K6^a©c@PMí@÷8P�]!A>×dT¾]!×dP�[=^QÆÙl[©Jv× P|Øè;>×Ö\;:?UR>P�?@TSP�?ÇÖ\P|[dc@;já4?�[�ÙlJv×dÙdTS?@A§JjÙ©Ùdc^TS[©ÞI;:TS?DÙ�6û�?�Ùdc@P�[P"ÖJ:[dP[�BÇ[;>QS=8ÙdTS;:?�J:]^JvÞ8Ù TYR>PMA:× TS]^]8TS?@AqTS?DÙd× ;8]8=^Ö\P�[ J§ÞI;>[ [TSÝ@QSP�]8TYò�Ö\=@QYÙ�Õ

Ùdc^JvÙ|HZTSA:cDÙ4Þ@Q¾J:Ö�P"J�[�Ù × J:TS?!;>?�A:QS;:Ý^J:Q«Ö\;>?DR>P�× A:P?^Ö\PMÝIPÖ�J:=^[dP�Ùdc@PqÙ J:×dA>P\Ù Þ@× P[ [=^×dP

�� ¼|yUxzy:ö&i¥DmDo:w:g ��yUt��¾y

4 8 12 16 20 241.0E-5

1.0E-4

1.0E-3

0.01

0.1

Grid/Subproblem

Objective

Globalization #1Globalization #2Delta Mach, globalization #1Fixed grid, globalization #2Fixed grid, globalization #1

4 8 12 16 20 241.0E-7

1.0E-6

1.0E-5

1.0E-4

1.0E-3

0.01

0.1

1

10

Grid/Subproblem

Projected Gradient


,.-0/ �XW^� p&imv´�g £�o�g mD�lg¢i¦^¶�mv´vkn¡��lk¨¤M¼©gl¡�kno�mq�^g�t¡ª��>µj¥Ut\£�gl¡+p+t�¡�g`¯<k¬��fZY}t�£�kni�¥>¡ T �ni�±Dt�nkn°�t��knim�{³s>��kni�m>¡ly

]8T¾[�Ù ×dTSÝ@=8Ù TS;:?%á©J:[³ÙlJvï>P�?1Øè×d;>H0J:?�J:?^JvQSÕ8[dTS[³;>?�J§R>P�× ÕZí^?@PqA:× TS]1Jv?Ç]%Ù cU=^[4H�JjÙlÖlc8ñTY?ÂÈÙdc^TS[�]8T¾[Ùd× TYÝ^=8ÙdTS;:?ÀP�÷8J>Ö�Ù QYÕÀ;>?ÅJÊÖ�;>J:× [dP%A>×dT¾]Àá³;:=@Q¾]ê× P[d=@QYÙqTS?ÜÙ c@Pêó�á4×d;>?@A>ôA:P�;>HZP\Ù ×dÕ:6}aÃ;ÉP�QSTSHZTS?^JjÙ P�Ù c@T¾["P�GIP�Ö�ÙZJ:[�á`PQYQ³J:["Ùd;É]@TS[dÞIP�?^[dP%á4TYÙdcÀÙ c@P1P\GzPÖ�Ù§;vØÞÇ;:ÙdP�?DÙ TSJ:QSQYÕ�Q¾Jv× A:P�Ölc^Jv?Â:P[MTS?ÉÙdc@PZA>×dT¾]ÉTS?ÊÙ c@P�[;>QS=8ÙdTS;:?¿J:]@J:Þ8ÙdTSR>P�ÖJ:[dPvBÃJv?^;vÙdc^P�×ÙdP[Ù©á³J>[<× =@?K6@_&TY×l[Ù`J"A>;D;8]�[d;:QS=8Ù TS;:?ZJ:]@J:Þ8ÙdTSR>P A:× T¾]§á³J>[¢]8P�ÙdP�× HZTS?@P]�Øè;>×¢Ù c@P|Ù Jv×dñA:P\ÙqJ:TS×Øè;>TYQ�J:?^]¿Þ@×dP�[d[d=@× PZ]8T¾[�Ù ×dTSÝ@=8Ù TS;:?ÈTS?êJv?ÀTS?@TYÙdT¾JvQ+a4L ë|üWë û�L'×d=@?«6}a©c@P�?ÀÙ c@P]8P[dTSA:?Àá³J>[�× =@?êØè× ;:H Ùdc@P!TY?^TÆÙ T¾JvQ�üWëWV³ë. 1 @þ�ä1A:P;:HZP\Ù ×dÕÊá4TÆÙ cêPJ>ÖlcêA:× TS]¿ÝIP�TS?@AÙdc@T¾[§[;>QS=8ÙdTS;:?ÜJ>]@JvÞ@ÙdTSR:P!A:× TS]K6&û�?ÚÙdc@T¾[§Ö�J>[P:B�J>[§Ö�Jv?ÅÝÇP�[dP�P?ÚTS?Å_&TSA:=@× P¯�8B�ÝÇ;:ÙdcA:QS;:Ý^J:QSTYø�JjÙ TY;>?qHZP�Ùdc@;8]@[©Ö\;>?UR:P�× A:P�]ZP�R>P�?%Ùdc@;>=@A:c1HZP\Ù c@;8]�A�ä�á³J>[`J�QSTYÙÙdQSP4ØºJ>[�Ù P�×6

ë [P�Ö\;:?Ç]ÈÙ P[ÙqÖ�J:[dP§TSQYQS=^[Ùd×lJjÙ P[ Ùdc@PZA>QY;>Ý^JvQSTSøJvÙdTS;:?�HZP�Ùdc@;8]@[�J>[�JvÞ@Þ@QSTSP]ÈÙd;�JRDT¾[ Ö\;>=^[�î^;já½ÖJ:[dP Øè;>×dH�=@Q¾JjÙ P]�=^[dTY?Â�Ùdc@PM[ JvHZP|J:TS×Øè;>TYQ¾[&á4TYÙdc1JqL4PÕD?^;:Q¾]@[<?U=@H�ÝIP�×;vØ@ÿ86 �³HZTSQYQSTS;:?«6la©c@P\[n�8á©J:[Ã[ÞIPÖ�TÆíÇP]|Ùd; ÝIP�Ù c@P`[ JvHZP�J:[«Ùdc@P¢TY?URUT¾[dÖ�T¾]WÖ�J>[P:B�?^J:HZP�QSÕvB 86¬ù:ÿ��U6+a©c@P!Þ^×dP�[d[d=@× P!]8T¾[Ùd× TYÝ^=8ÙdTS;:?Ç[MØè;:×�Ùdc^P!TS?@TYÙdT¾J:Q`JvTS×dØè;:TSQ¢J:?^]êÙ c@P1Ù Jv× A:P�Ù�J:×dP[c@;já4?%TY?!_}TSA>=@×dP|ÿ86Uû�?�Ùdc^TS[³Ö�J>[P:B>Ù c@PWP�GIP�Ö�Ù4;vØ«A>QS;:Ý^J:QYTSø�JjÙdTS;>?"HZP\Ù c@;8]]A�ä"T¾[<R>P�× Õ[TSA:?^TÆíIÖ�Jv?DÙ68ð|[TS?@AZA>QS;:Ý^J:QYTSø�JjÙdTS;>?ZHZP\Ùdc^;U]Â%þvBzÖ\;>?DR>P�× A:P?^Ö\PMT¾[ J:Ölc^TYPR:P�]%;>?@QSÕ�ÝUÕ=^[TS?@AÈÖ�;:?^[Ùd×lJvTS?DÙ [M;>?ÀÙdc@P!Ölc^Jv?@A>PZTS?êQY;8ÖJvQ<OÈJ>Ölcê?D=^H�ÝIP�×"TS?ÀÙ c@P�;:Þ@ÙdTSHZTSøJjÙ TS;:?[=@Ý^Þ@×d;>Ý@QSP�H�[4J:?^]�QSTY?^P"[P�Jv×lÖlcK6Ça©c@P"RjJ:QY=^PqÖlc@;>[dP�?�á©J:[. �5nä�Ý^J:[dP]�;>?�P\÷8ÞÇP×dTSP?^Ö\PTY?ÛJv?^J:QSÕU[dT¾["Ö�J>[P�[\6<FW;já`PR:P�×B&Ùdc@P1í^?^J:Q©R�J:QS=@P!;:Ø Ùdc^P1;>Ý8ú�PÖ\ÙdTSR:P!T¾[�?^;vÙ�õD=@TYÙdP�J:[A:;U;8]ZJ:[<T¾[<J>Ölc@TSP�R>P]�á4TÆÙ cZA:QS;:ÝÇJvQSTSøJjÙ TS;:?�HZP\Ù c@;8]BA�äU6Da©c^P|Ö\;>?UR:P�× A:P?^Ö\P©c@T¾[Ùd;>×dTSP[Jv× P�A:TSR:P?ÀTY?ÜíÂ:=@× P¯�U6+ð|[TS?@A�A>QY;>Ý^JvQSTSøJvÙdTS;:?ÊHZP\Ùdc^;U]@A%þ:B}Ù c@P1J:?^JvQSÕ8[dTS[�ÞI;:×dÙdTS;:?;vØ�Ùdc^P¿Ö�;U]@PÉÖ�J:?@?@;:Ù1Ö\;>?UR:P�× A:P�;>?½A:× T¾]l�êá4TYÙdc½Ùdc@PÀÖ\=@× × P�?DÙ!]8P�[TSA:?ãRjJ:×dT¾JvÝ^QYP�[\6C½TÆÙ cÅA>QS;:Ý^J:QYTSø�JjÙdTS;>?ÊHZP\Ù c@;8]_A�ä8B�Ùdc@P�;:Þ@ÙdTSHZTSøJjÙ TS;:?êÖ\;>?DR>P�× A:P�["×lJjÙdc^P�×§× J:Þ@T¾]8QSÕvBÙdc@P�× P[d=@QYÙ"ÝIP�TS?@A�A:;U;8]ÀP�R>P�?ÀÝÇP�Øè;:× P§Ùdc@P%A:× TS]ÉT¾[MØè× ;:ø�P?K6}ëWQS[d;�TS?¿Ùdc@PZí^÷UP�]ÀA:× T¾]ÙdP[Ù�B�Ù c@P�× P�T¾[�J¿[dTYA>?@TYíÇÖ�J:?DÙ�J:]8RjJ:?>ÙlJvA>P%Øè;>×�A>QS;:Ý^J:QYTSø�JjÙdTS;>?ÊHZP\Ù c@;8]À�äU6¢a©c^TS[�T¾[]8=@P|Ùd;"Ù c@P�ÝÇP�ÙÙdP×©P[ÙdTSH�JjÙ TY;>?�;:ØKÙdc@P|Ùd× =@P�[;>QY=@ÙdTS;:?§;:?�Ùdc@P�?@P\÷UÙ©A:× T¾]qÙlJvïUTS?@A"TS?DÙd;J:Ö�Ö�;:=@?DÙ©Ùdc^P�;:Þ8Ù TYHZTSø�JjÙdTS;>?§[ÙdPÞK6

¸³i�m>�nk¨m>g�t�£`Ä«�nk¨r�knmDt��kni�m§knmZ�¢g £�iv¤:u:mDtr�kn�©�¢mUt�¬u:¡�kn¡¢tmU¤�¼©gl¡�kno�m�{³s:��knr�k¨°lt��kni�m �v�

0.0 0.2 0.4 0.6 0.8 1.01.5

1.0

0.5

0.0

-0.5

-1.0

-1.5

X

Cp

Initial NACA0012

Target

0.0 0.2 0.4 0.6 0.8 1.01.5

1.0

0.5

0.0

-0.5

-1.0

-1.5

-2.0

X

Cp

Inviscid Target

Viscous Target

,.-0/ �6a^� ezt\£�o�g �³xK£�gl¡�¡�¥>£�g4¼©kn¡ª��£�kn±D¥:��kni�mD¡�¦Yi£bY³kn¡��li�¥>¡`p+t¡�gWtmD¤q¦Si�£4p&fDt�n�nglmDoknmDoqp+t¡�g

4 8 12 16 20 241.0E-5

1.0E-4

1.0E-3

0.01

0.1

Grid/Subproblem

Objective Globalization #1Globalization #2Delta Mach Constraint, globalization #1Fixed grid, globalization #2Fixed grid, globalization #1

4 8 12 16 20 241.0E-7

1.0E-6

1.0E-5

1.0E-4

1.0E-3

0.01

0.1

1

10

Grid/Subproblem

Projected Gradient


,.-0/ �6c@� p&imv´�g £�o�g mD�lg¢i¦=Y³kn¡��li¥D¡+¼©g ¡�kömq�Çg�t�¡ª�<�>µj¥Dt�£�gl¡+p+t¡�g`¯<k¬��fUY}t�£�kni�¥>¡ T �ni�±Dt�nkn°�t��knim�{³s>��kni�m>¡ly

ë ?@;:Ùdc@P×³HZ;>×dP�Ölc^JvQSQSP�?Â:TS?@A"[dP\Ù©;vØÃîÇ;jáìÖ\;>?^]8TYÙdTS;:?Ç[¢á©J:[©JvQ¾[d;"× =@?K6â©c@P�Ù J:×dA>P\ÙÞ@×dP�[d[d=@× P¢]8T¾[Ùd× TYÝ^=8ÙdTS;:?�á©J:[«;>Ý8Ù J:TS?@P]MÝUÕM×d=^?@?@TS?@A4Ù c@P<ÙlJv× A:P\Ù&JvTS×Øè;>TSQ:JjÙ�P@Q 3 �5 ��Jv?^]dR 3 ä`5ÿ 86va©c@P©×dP�[=^QÆÙ TS?@AWÞ@× P[ [d=@×dP³]8T¾[�Ù ×dTSÝ@=@ÙdTS;:?"T¾[&[c^;já4?�TS?�_&TSA:=^×dP³ÿWØè;>×+ÝÇ;:ÙdcÙdc@P�TS?DRUT¾[ Ö\T¾]§Jv?^]%RDT¾[ Ö\;>=^[¢ÖJ:[dP[�6Dû�?%Ùdc@T¾[©Ö�J>[P:BDÝI;vÙ c%A:QS;>Ý^JvQSTSøJvÙdTS;:?^[&ÞIP�×dØè;:× H á`PQYQ�6a©c@P"Ö\;>?DR>P�× A:P?^Ö\P|c@T¾[�Ù ;:× TYP�[¢J:×dP�[dc@;já4?!TS?!íÂ:=^×dPU�86

a©c@T¾[©HZ;:× PMÖlcÇJvQSQSP�?@A>TY?ÂqÖ�J>[P�á©J:[ J:Q¾[;�×d=^?�TY?1RUT¾[dÖ�;:=^[³î^;já á4TYÙdc�JZL4PÕD?^;:Q¾]@[?D=^H�ÝIP�×³;vØ+ÿ86 ��HZTSQSQYTS;>?K6:a©c@PZ[n�}á³J>[³;:?^Ö�P�J:A>JvTS?�[dP\Ù³Ùd;§H�JjÙlÖlcZÙdc^P�TS?URUT¾[dÖ�TS]§ÖJ:[dPv6a©c@T¾[�ÖJ:[dPqc^J>[M[c@;8Ölï�TS?^]8=ÇÖ\P]É[PÞ^Jv×lJjÙ TS;:?�;vØ`Ùdc@P§ÝI;:=@?Ç]@Jv× Õ�QSJ�Õ>P�×6Ia©c@PZÖ�;:?UR:P×ñA:P�?ÇÖ\Pqc^TS[Ùd;>×dTSP�[4Jv× P�[dc@;já4?�TS?�íÂ:=^×dP��86zû�?�Ùdc@T¾[�Ö�J>[P:B^Ùdc^P�× P�J:×dPq[dTSA:?@TYíÇÖJv?DÙWÖ\;>?8ñR:P�× A:P?^Ö\PZ]8TYò�Ö\=^QÆÙ TSP[MJv?^]¿PR:P�?ÀHZP�Ùdc@;8]eA�ä�c^J:[q[;>HZP§]@TÆò�Ö�=@QYÙ�ÕÈH�JjÙlÖlc@TS?@A%Ù c@P


4 8 12 16 20 241.0E-5

1.0E-4

1.0E-3

0.01

0.1

Grid/Subproblem

ObjectiveGlobalization #1Globalization #2Fixed grid, globalization #2Fixed grid, globalization #1

4 8 12 16 20 241.0E-7

1.0E-6

1.0E-5

1.0E-4

1.0E-3

0.01

0.1

1

10

Grid/Subproblem

Projected Gradient

Globalization #1Globalization #2Fixed grid, globalization #2Fixed grid, globalization #1

,.-0/ �Xf^� p&im:´�g £�o�glm>�lg©i�¦«p&fUt��n�¨g mDo�knm>o�¼©gl¡�knom§�Çglt¡ª�¢�:µv¥Dt�£�gl¡�p+t¡�g³¯<k¬��fgY&t\£�kï¥D¡ T �ni�±:�t��nk¨°lt��kni�m%{³s:��kïmD¡ly

Þ@×dP�[d[d=@× P�]8T¾[�Ù ×dTSÝ@=8Ù TS;:?ZTS?1Ùdc@P"[dP�Þ^J:× JvÙdP�]Zî^;já ×dPA:TS;:?K6^N�QS;:ÝÇJvQSTSøJjÙ TS;:?§HZP\Ù c@;8]�A%þP�R:P?Úá4TYÙdcÛJÉÖ�;:?^[Ùd×lJvTS?DÙq;>?ÜÙdc^P�ÖlcÇJv?@A>P%TS?ÅOÈJ>ÖlcÜ?U=@H�ÝÇP×qØºJ:TYQ¾[qÙd;À[=@òZÖ�TSP�?DÙdQSÕ×dP�]8=^Ö\P Ùdc@P × P[dT¾]8=^J:QS[&;:ØIÙ c@P|J:?^JvQSÕ8[dTS[}Þ@× ;:Ý@QSPH ;:?ZA>×dT¾]hA��U6DFW;já`PR:P×�BjÙ c@P × P[d=@QYÙ [;:Ý8ÙlJvTS?@P]%á4TYÙdc1HZP\Ùdc^;U]Â�ä�Jv× P�J:Ö�Ö�P�Þ8ÙlJvÝ@QSPWØè×d;>H0Jv?1P�?Â:TS?@P�P×dTS?@AqÞÇ;>TY?DÙ4;vØ+RUTSP�áM6

4 8 12 16 20 241.0E-5

1.0E-4

1.0E-3

0.01

0.1

Grid/Subproblem

Objective

Globalization #1Globalization #2Delta Mach, globalization #1

4 8 12 16 20 241.0E-7

1.0E-6

1.0E-5

1.0E-4

1.0E-3

0.01

0.1

1

10

Grid/Subproblem

Projected Gradient

Globalization #1Globalization #2Delta Mach, globalization #1

,.-0/ �Xi^� p&im:´�g £�o�glm>�lg³i�¦«�vglsUt\£t��g�¤ZY³kn¡��li¥D¡�¼©g ¡�köm��^g�t¡ª�<�>µj¥Ut\£�gl¡<p+t¡�g`¯<kn��fgY}t�£�kni�¥>¡T �ni±Ut�nkn°�t\��kïm!{³s>��kni�m>¡lyë QSQÃ;:Ø<Ùdc@P�Ö�J>[P�[WTS?�Ùdc^TS[�[dPÖ�Ù TS;:?�á³P�× P"×d=^?Èá4TYÙdc�í^×l[Ù|;:×l]8P×|]8P?^[TYÙ�Õ�Ý@T¾J:[dTS?@A@B

Ùdc@P�QSPJ>[�Ùq?^;:?@QSTS?@PJ:×�Øè;:× H�;vØ|=@ÞUá4TY?Ç]8TS?@AÊJ�RjJvTSQ¾JvÝ@QSP§TS?Úa4L ë|üWë û�L�6<C½TYÙdcÚHZ;>×dP


ó�J:ÖÖ\=@×lJjÙ PôMØè;>×dH�[¢;vØÃ=^ÞDá4TS?^]@TY?Â@BUQYP�[d[¢×dPQSTSJ:Ý@QSP4×dP�[=^QÆÙl[¢ÖJv?%ÝIP�P\÷8ÞÇP�Ö�Ù P]z6^_&TS?^JvQSQSÕvBá`P�c^J�R>P!?@;:ÙdP�]ÜÙ c^JjÙ�;:Ø¾ÙdP�?ÛTS?ÅÖJ:[dP[§;vØM]8×lJvA¿HZTY?^TYHZTSø�JjÙdTS;>?É[d=^ÖlcÛJ>[§]8T¾[dÖ�=^[d[dP]TY?�[dPÖ�Ù TS;:?g�@B¢A:QS;>Ý^JvQSTSøJvÙdTS;:?¿HZP\Ù c@;8]_A�ä¿Ö�J:?Å× P[d=@QYÙZTY?�]8P�[TSA:?Ç[qØè;>×Zá4c@T¾ÖlcÚÙ c@P;:Ý8ú�P�Ö�ÙdTSR>PÈT¾[![d;:HZPá4c^JjÙ1QY;já³P�×!Jv?^]½Øè;:×1á4c@T¾ÖlcãÙdc@PÀTS?@P�õ>=ÇJvQSTYÙ�ÕÚÖ\;>?^[�Ù × J:TS?>Ùl[%J:×dPHZ;:× P�?^PJv× QSÕ�[dJvÙdT¾[í^P]%Ùdc^J:?�A:QS;:ÝÇJvQSTSøJjÙ TS;:?�HZP\Ùdc^;U]Â%þv6za©c@T¾[©H�J�Õ%[dP�P�H Ùd;ZÝIPqJHZTY?^;:×&H�JjÙÙ P�×BvÝ@=8Ù<á4c@P?ZÖ\;:=^Þ@QSP]�á4TÆÙ c�HZ;>×dP³× ;:Ý@=^[Ù¢Ö\;>?UR:P�× A:P?^Ö\P:BÙ c@T¾[+ÝÇP�Ö\;>HZP[TYHZÞI;:×dÙ J:?DÙ`TS?!H�=@QYÙdTYñªÞÇ;>TS?>Ù³]8P[dTSA:?K6

j ��Ò.��Î8Ôlk#&"Ð¢Ô�Í³Îw�s��>Ônm<Ía©c@P�a4LWëWüWëWû�Lý]@P[dTYA>?ÊJv?Ç]�;:Þ8Ù TSHZTYø�JjÙ TY;>?!HZP�Ùdc@;8]È]@P[ Ö\× TYÝIP]ÈTY?É[P�Ö�ÙdTS;>?Èå%c^J>[ÝÇPP�?qP�÷UÙdP�?Ç]8P]"Ùd;�;:Þ8Ù TYHZTSø�JjÙdTS;>?|JjÙ+H�=@QYÙdTSÞ@QSP&î^;jáÜÖ\;>?^]8TYÙdTS;:?Ç[\6OÈ=@QYÙdTYñ�ÞI;:TS?DÙÃ]8P�[TSA:?TS[�]@P[dTY×lJvÝ^QYPqØè;:×qJvÙ"QSPJ:[ÙMÙ�á`;�× PJ>[;>?^[\6«_&TS× [Ù�B«TYÙ"T¾[M;:ÝURUTS;:=^[|Ù c^JjÙqJ�[dTS?@A:QSP�ÞÇ;>TY?DÙ]8P[dTSA:?�c^J:[¢?@;"Ö\;>?>Ù ×d;>Q@;vØzÙ c@P ÞIP�×dØè;:× H�Jv?^Ö�P©JvÙ¢;vÙ c@P�×`Ö\;:?Ç]8TYÙdTS;:?^[©ßºP\÷@Ö\PÞ8Ù¢Ù c@×d;>=@A:cÖ\;:?Ç[�Ù × J:TY?DÙl[ Ù c^JjÙ"H�J�Õ�ÝIP�o�p�q%rtsM;:×"]@TÆò�Ö�=@QYÙ|Ù ;�Øè;:× H�=@Q¾JvÙdP�àWJv?^]¿TS?¿Þ@× J>Ö�Ù TSÖ�PqTYÙ;vØ¾ÙdP?%QSPJ>]@[�Ù ;�ÞI;U;:×³;vGIñª]@P[dTYA>?ZÞÇP×Øè;>×dH�J:?^Ö\P:6`!UP�Ö\;>?^]zBUÙdc@P×dP|T¾[¢c@;>ÞÇP|ÙdcÇJjÙ©H�=@QYÙ TÆñÞÇ;>TY?DÙZ]8P[dTSA:?Åá4TYQSQ³ÝÇP�HZ;>×dP1[�ÙlJvÝ@QSP!Ùdc^J:?Û[dTS?@A:QSP�ÞI;:TS?DÙ§]@P[dTYA>? u+Øè;:×§P\÷@J:HZÞ@QSPvB+TY?HZTY?^TYHZTSøTY?Â�]8× J:A1Øè;:×qJ:?ÀJ:TS×Øè;>TYQ&Ù c@P�× P�Jv× P§;vØ¾ÙdP?êH�Jv?UÕÊ[dc@;8ÖlïÈØè× P�P�[dTS?@A:QSP�ÞÇ;>TY?DÙJvTS×Øè;>TSQI]8P�[TSA>?^[³?@;:?@PM;:Ø&á4c@T¾Ölc!TS[©RUT¾JvÝ^QYPWØè×d;>H Jv?1P�?Â:TS?@P�P×dTS?@A�ÞÇ;>TS?>Ù©;vØ+RUTSP�áM6

a©c@PqJvQSA>;:× TÆÙ c@H Øè;:×WH�=@QYÙ TÆñªÞI;:TS?DÙ©]8P�[TSA>?!T¾[4R>P�× Õ![dTYHZTSQ¾Jv×¢Ùd;ZÙ c^JjÙM]8P[ Ö\× TSÝÇP�]1TY?[P�Ö�ÙdTS;>?êå@6�!DÙdPÞìþ%T¾[qÙd;ÉA:TSR:P�P�J:ÖlcêîÇ;já Ö�;:?^]@TÆÙ TS;:?Ü[d;:QSR:P×�Ùdc@P!TS?@TYÙdT¾JvQ<A>P�;>HZP\Ùd× ÕßèT�6 P:6ÆB³RjJvQS=@P[�Øè;>×�Ù c@PÊ]8P�[TSA:?�RjJv× T¾JvÝ@QSP�[ à�6�!UÙdP�ÞÇ[!ä@ß·J>àZJ:?^]ãä@ßºÝÇà�ÖJv?�Þ@× ;UÖ�P�P�]�TY?Þ^Jv×lJvQSQSP�Q&Jv?^]ÉJv× P�Ö�;:HZÞ@QSP\Ù P�QSÕ1TY?Ç]8P�ÞIP�?^]@P�?DÙMØè;:×�]8TYGIP×dP?DÙ|î^;jáýÖ\;:?Ç]8TYÙdTS;:?^[�6]!DÙdPÞ^[ä@ßºÖ�à J:?^]Êä@ß·]^àW×dP�õ>=^TY× P"Jv?Ê;:Þ8Ù TYHZTSø�JjÙdTS;>?�ÙdcÇJjÙMH�=^[ÙWA>P\Ù|TS?@Þ^=8ÙWØè× ;:H�PJ>Ölc�;vØ<Ù c@Pî^;já Ö�;:?^]8TYÙ TY;>?^[�6Da©c@P�;>Ý8ú�PÖ\ÙdTSR:PWØè=@?^Ö�Ù TS;:?1TS[©J>[d[dP�H�Ý@QSP]zBUJv?^]%Ùdc^P"Ö\;:?Ç[�Ù × J:TY?DÙ©Jv?^][P?^[TYÙ TYRUTYÙ�Õ4TS?8Øè;:× H�JjÙ TS;:?WÖ�;:H�Ý@TS?@P] Ùd;4Øè;>×dH ;:?@P<Q¾J:×dA>P};>Þ8ÙdTSHZTSøJvÙdTS;:?4Þ@× ;:Ý^QYPH�6�a©c@P×dP�[=@QYÙ TY?Âq=@Þz]@JjÙ P[©Ù ;�Ùdc@P"]8P�[TSA>?%RjJv× T¾JvÝ@QSP[³Jv× P�Þ^J:[ [P�]%ÝÇJ:ÖlïZÙ ;�P�J:Ölc1;vØ&Ùdc@PMîÇ;jáÖ\;:?Ç]8TYÙdTS;:?^[�J:?^]§[�Ù P�Þ^[³ä@ßºP�àlB8ä@ßèØ àlB8Jv?^]�ä^ßèAUà�Ö�J:?�JvA>J:TS?qÞ@× ;8Ö\P�P�]§TS?^]8P�ÞIP�?Ç]8P�?DÙdQSÕ�Øè;>×PJ:ÖlcÉî^;já Ö�;:?^]@TÆÙ TS;:?K6K5WP�Ù J:TYQ¾[�;vØ`Ùdc@PZHZP�Ùdc@;8]ÉJv?^]¿[;>HZP�[dTSHZÞ@QSP�Ö�;:HZÞ@=8ÙlJjÙ TY;>?^JvQP\÷@JvHZÞ@QSP�[`ÖJv?1ÝÇPMØè;>=@?^]1TS?¿â ä8þ�æ·6C½TÆÙ c�× P�A>J:× ]�Ù ;qA:QS;>Ý^JvQSTSøJvÙdTS;:?KB�TS?�J"H�=@QYÙdTYñªÞÇ;>TY?DÙ<]8P�[TSA:?«B>Q¾J:Ölï�;vØÃÖ\;>?UR:P�× A:P?^Ö\P

;vØÃJv?UÕ§Jv?^J:QSÕU[dT¾[lév[P?^[dTÆÙ TSRDTÆÙ�Õ�×d=@?Z;>?%Jv?UÕ�A:× T¾]qØè;>×³J:?UÕqî^TSA>c>Ù³Ö\;:?Ç]8TYÙdTS;:?�Ý@× TY?Â>[�Ù c@Pá4c@;:QSP³Þ@×d;8Ö�P[ [«Ù ;MJ|c^J:QÆÙ6vëW[+T¾[&;vØ¾ÙdP?qÙ c@P4Ö�J>[P³TS?�Ö\;>HZÞ@QSP\÷�P�?Â:TS?@P�P×dTS?@A4Þ^×d;8Ö\P�[d[dP[�BÙdc@P�;jR:P× J:QYQÃÞ@×d;>Ý^JvÝ^TYQSTYÙ�Õ�;:Ø`[=ÇÖ�Ö\P�[d[|T¾[ Ù c@P§H�Jv?@TYØè;>QS]1Þ@× ;8]8=^Ö\Ù�;:Ø<Ùdc@P�Þ@× ;:Ý^J:Ý@TSQSTÆÙ�Õ;vØ«[=ÇÖ�Ö\P�[d[<;:?�Jv?UÕ§Jv?^J:QSÕU[dT¾[}ÖJ:[dPv6Ua©cD=Ç[\BDTYHZÞ^×d;jR>P�HZP�?DÙl[«TS?Z×d;>Ý@=^[Ùd?@P�[d[�ÙdP�?Ç]�Ùd;"ÝIPA:TSR:P?1R>P�× Õ!c^TYA>c�Þ@×dTS;>×dTYÙ�Õ�ÝUÕ!Ùdc@P�TS?^]8=^[Ùd× T¾JvQKP�?Â:TS?@P�P×dTS?@AZÖ�;:HZH�=@?@TYÙ�Õv6,!UTSHZTSQ¾Jv× QYÕ:BH�Jv?UÕÉH�=@QYÙdTYñªÞÇ;>TS?>Ù�]8P�[TSA:?Ç["ÝI;:TSQ³]@;já4?ÀÙd;ÉÙd×lJ:]8TS?@AÈ]8×lJvAÉJjÙZ]8TYGIP×dP?>Ù�;:ÞIP�×lJjÙdTS;>?Ö\;:?Ç]8TYÙdTS;:?^[+J:A>JvTS?^[Ù}P�J:Ölc§;vÙ c@P�×<J:?^]§JvADJvTS?^[Ù&H�J:?DÕ�TS?@P�õD=^JvQSTYÙ�Õ�Ö\;:?Ç[�Ù × J:TY?DÙl[\6ja©c@P[dPÙd×lJ:]8P�[�J:×dP�;vØ¾Ù P�?À[=@òZÖ�TSP�?DÙdQSÕ�[P?^[dTÆÙ TSR:P"Ù c^JjÙ"J1HZP�× TYÙWØè=@?ÇÖ�ÙdTS;>?ÊÝ^J>[P�]ÊA>QY;>Ý^JvQSTSøJvñÙdTS;:?�Þ@× ;8Ö\P�[d[|[=^ÖlcÉJ:[�A%þ�×dP�[=@QYÙl[4TS?�QYP�[d[ Ùdc^J:?Ê[ JjÙdT¾[ØèÕUTY?Â�× P[d=@QYÙ [�6zN�QS;>Ý^JvQSTSøJvÙdTS;:?HZP\Ùdc^;U]�A�ä§Ö�J:?!HZ;>×dPMJ:ÖÖ\=@×lJjÙ P�QSÕZ]8;�Ùdc@P�× PõD=@TS× P]ZÙ × J>]8P[�6

�\� ¼|yUxzy:ö&i¥DmDo:w:g ��yUt��¾y

v w Ô��ýÔ�Î` &Î8Ô�Ð<Í��m +Í�Ñí¿J�� +Ô�Í|Ô�Í�mç�ãÔ�� ÓzÒ.��Î8Ô��û�?ÅÙ c@T¾[Z[P�Ö�Ù TY;>?KB<á³P1á4TSQSQ©TS?^]8T¾Ö�JvÙdP!Ùdc@PÈ× P�H�J:TS?@TS?@AÈQSTSHZTÆÙlJjÙ TY;>?^[�;:Ø�JvP×d;8]8ÕU?^J:HZT¾Ö]8P[dTSA:?Ü;>Þ8ÙdTSHZTSøJvÙdTS;:?¿ÝUÕÜÖ\;:?Ç[T¾]8P×dTS?@A�Ù c@P1Þ@×d;>Ý@QSP�H ;vØM[TS?@A>QSP�ÞÇ;>TS?>Ù§]8×lJvA¿HZTY?^TÆñHZTYø�JjÙ TY;>?ÈØè;>×qJv?êJvTS×dØè;:TSQ+TS?ÉÙ × J:?^[d;:?@T¾Ö�î^;jáM6}a©c@T¾[�Þ^×d;>Ý@QSP�H T¾[�?@;:Ùqá³P�QSQYñ�ÞI;>[dP]ÊTY?Ùdc@P�Ö\Q¾J:[ [T¾ÖJvQ8[P?^[dP ÝÇP�Ö�J:=^[P Ùdc@P×dP H�J�Õ�ÝÇP|H�=^QÆÙ TSÞ@QSP³[d;:QS=8Ù TY;>?^[�6:F ;já³P�R:P×�BDÖ\;:?Ç[T¾]UñP�×lJjÙdTS;>?�;:Ø8Ùdc@T¾[ÃÞ@×d;>Ý@QSP�H TYQSQS=^[Ùd×lJjÙ P[ÇÙdc@P³]8TYò�Ö\=@QYÙdTSP�[K;vØ¾Ù P�?"P?^Ö\;>=@?DÙdP�× P]MTS?�Þ@×lJ:Ö\ÙdT¾Ö\PTY?�JvP×d;8]8ÕU?^J:HZT¾Ö4;:Þ8Ù TSHZTYø�JjÙ TY;>?K6

û�?ê;:=@×qÙdP[Ù�ÖJ:[dPvB«Ù c@P!]@× J:A�Ùd;ÈÝIP%HZTS?@TSHZTSø�P�]�T¾[�Ùdc^P![d=@H ;:Ø©Ùdc@P!á³J�R>P�Jv?^]Þ@×d;:í^QSP¢]8×lJvA^6�a©c@P©]8P�[TSA:?qR�J:×dT¾J:Ý@QSP[KÖ\;>?^[dTS[Ù};:Øi�WÖJvH�ÝÇP×&J:?^]Zþ>þ¢Ù c@T¾ÖlïD?^P[ [«HZ;8]8P[�6a©c@PWÙ c@T¾ÖlïU?@P[ [¢ïU?@;:Ù [©Jv× PWQS;8Ö�JvÙdP�]�JjÙh 8BSþ# @B¬ä1 8B¬ù1 8B å� @Bÿ�1 8B¬ÿ1 @B �� UB �� UBÿ�1 UBvJv?Ç]Èþ# � yx ;vØÖlc@;:×l]z6ja©c@P<Ù c@T¾ÖlïD?^P[ [«HZ;8]8P[&JjÙ� WJ:?^]�þ� 1 yxìJvQSQS;jáÀÖlc^Jv?@A>P[ÃTY?MÙ c@P©[QS;:ÞIP¢;:Ø8Ùdc@T¾ÖlïDñ?@P[ [�[;|ÙdcÇJjÙ+Ùdc@P©Ù × J:TSQYTS?@A4P�]8A:P©Ö\QS;D[=@× P`J:?@A:QSP³Jv?^]qÙdc@P4QSP�J:]8TS?@A P�]8A:P³×lJ:]8TS=^[&;vØzÖ\=@×dñR�JvÙd=@× P�Ö�J:?!Ölc^J:?@A:P:68a©c^PMÖJvH�ÝÇP×©ïD?^;vÙ [©J:×dP�QS;UÖJjÙ P]%JvÙ�þ# 8Bnä� @B ù� 8B å� @Bÿ�1 8B¬ÿ1 8B �Z @B �1 8BJv?^]��1 zx ;vØ<Ölc@;>× ]K6%{<JvQS=@P[©;:Ø+ÖJvH�ÝÇP×4Jv?^]!Ùdc^TSÖlïU?@P�[d[4J:×dP�]8P�ÙdP×dHZTS?@P�]�ÝUÕ!JZ[dÞÇP�ñÖ\T¾JvQ«[dÞ@QSTS?@PWí^Ù4Ùd;§Ùdc^P�R�J:QS=@P[4JvÙ³Ù c@P"ïU?@;:Ù [�6â©c@P"Jv?@A>QSP|;:Ø+JvÙÙ J>Ölï�T¾[4JvQ¾[d;�J§]8P�[TSA:?R�J:×dT¾J:Ý@QSPv6:û�?%íÂ:=@× Pqþ� 8B8á³P|[dc@;já�Ùdc@PMTS?@TYÙdT¾J:Q^JvTS×dØè;:TSQ^Jv?Ç]ZÙdc^PWí^?ÇJvQKJvTS×dØè;:TSQ^J:Ölc^TYPR:P�]á4TÆÙ c%A>QY;>Ý^JvQSTSøJvÙdTS;:?�HZP\Ù c@;8]@[�A�þMJv?Ç]�A�äU68û�?!Ù JvÝ^QYP�þvB8á³P|A>TSR:P4Ù c@P�í^?^JvQKRjJ:QY=^PW;vØ[ à á4c^TSÖlc�T¾[ Ùdc@P�;:Ý8ú�P�Ö�Ù TYR>P�Øè=@?^Ö\ÙdTS;:?«6KN�QS;:ÝÇJvQSTSøJjÙ TS;:?�A�ä�×dP�[=@QYÙl[ TS?ÊJ%[d;:HZPá4c^JjÙQY;já³P�×�QSP�R:PQ¢;:ØWÙdc^P!;>Ý8ú�PÖ\ÙdTSR:P%Øè=@?^Ö�Ù TS;:?K6�ûªÙZ[c@;>=@Q¾]êÝIP1?^;vÙdP�]êÙ c^JjÙZTS?êÙdc^TS[§ÖJ:[dPvBüW7S!Çç�X�á³J>[�JvQSHZ;>[Ù|?@PR:P×"JvÝ@QSP�Ùd;ÈJ>Ölc@TSP�R:P§Ö\;>?UR:P�× A:P?^Ö\PqØè;:×�Ù c@PZ;:Þ@ÙdTSHZTSøJjÙ TS;:?[=@Ý^Þ@×d;>Ý@QSP�H�[�6va©c@P4Ù�ÕUÞ@T¾Ö�J:Q8×dP�Ùd=@× ?ZÖ\;:?Ç]8TYÙdTS;:?�á³J>[&Ùdc^JvÙ<Ùdc^P|Ö\=^×d× P�?DÙ<[;>QS=8ÙdTS;:?§Ö�J:?8ñ?@;vÙ�ÝIP4TYHZÞ^×d;jR>P]MJv?^]qÙdc^P4P[ÙdTSH�JjÙ P]"Ö�;:?^]8TYÙ TY;>?"?U=@H�ÝÇP×&;:Ø^Ù c@P4F P[ [dTSJ:?�Ù�ÕUÞ@T¾Ö�J:QYQSÕÝÇP�Ö�JvHZPqR:P�× Õ�Q¾Jv× A:PvBÇ×d;>=@A:c@QSÕ%Ùdc@P�×dP�Ö\TSÞ@× ;UÖJvQ«;:Ø¢H�J:Ölc^TY?^P�Þ@×dP�Ö\T¾[dTY;>?KB^JvÝI;:=@Ù�þ# @H| 6a©c@PqP�[�Ù TYH�JvÙdP�]%× P]8=ÇÖ\P]�A>× J>]8TSP�?DÙ á©J:[4?@PR:P×W× P]8=^Ö�P]�HZ;>×dPMÙ c^Jv?ÊJ%[TS?@A>QYP�]8TSA>TÆÙTY?Ç]8T¾Ö�JjÙ TS?@AqJ§× P�H�JvTS?@TS?@A�=^?^]8T¾JvA>?@;>[dP]!]8TYòZÖ�=@QYÙ�Õv6

} �>� ~0��1U� �¢g £�iv¤:u:mDtr�kn�4»Di�£��lgl¡�¦Si�£\Y}t�£�kni�¥>¡¢{³s>��knr�kn°�t��knim�{³s>��kni�m>¡lyp+t¡�g �� t�´�g�� xK£�iÂU�ng��

±Ut�¡�gl�nknmDg ¸©�¢p+�³��:�� y �� \�#{vy �_{ �\�j��y � � �:y {#{�p+tr|±8g £d�\��f>k¨�®vmDgl¡�¡lw>o��ni±Ut�nkn°�t\��kïm]�q� �v��y {�� vy ��{ ��vy �� :y {#{�p+tr|±8g £d�\��f>k¨�®vmDgl¡�¡lw>o��ni±Ut�nkn°�t\��kïm]�M� ��:y �� vy �� vy �� :y {#{�p&¥>£�´t��¥:£�g4´�t\£�k¨t±D�ngl¡lw>o��ni±Ut�nkn°�t\��kïm�� :y �� vyn�l� ��vy �� :y {#{��i�m>i��imDg �l¥>£�´t��¥:£�g�w:o��ni�±Dt�nkn°�t��knim�� v��y �� vy �� :�y �:� �:y {#{�ç|?@P Øè;>×dH ;:Ø«×dPA:=@Q¾Jv× TSøJvÙdTS;:?�TY?UR>;:QSR:P�[+×dP�[�Ù ×dT¾Ö�Ù TS?@AMÙdc@PM]8P�[TSA:?ZA>P�;>HZP\Ùd× Õ§[Þ^J>Ö\P

Ùd;Úó�[dHZ;U;vÙdcÇô�JvTS×dØè;:TSQ&[dc^J:ÞÇP�[\6zCÀP�á³P�× P§JvÝ@QSP�Ùd;1ÙdP�[�ÙMÙdc^P�P�GIP�Ö�Ù";>?Ê;:Þ@ÙdTSHZTSøJjÙ TS;:?ÞÇP×Øè;>×dH�J:?^Ö\P©ÝUÕ�=Ç[TS?@A�]8P�[TSA:?§RjJv× T¾JvÝ@QSP�[ÃÙ c^JjÙ`Þ^Jv×lJvHZP�ÙdP�× TSø�P�]q]8TS× PÖ�Ù QSÕMÙdc@P�Ö\=@× RjJjñÙd=@× P`;:Ø8Ùdc@P©JvTS×dØè;:TSQ�6�ç|?^Ö\P©JvADJvTS?�Ùdc@P×dP³á³P�× P³ä� R�J:×dT¾J:Ý@QSP[«]8P�[dÖ�×dTSÝ@TS?@A©Ù c@P©Ö\=@× RjJjÙd=^×dPJv?^]1Jv?@A>QSPW;vØ+JjÙdÙ J:Ölï§á©J:[©JvQ¾[d;�J�]8P[dTSA:?!R�J:×dT¾J:Ý@QSPv6Da©c^P�RjJ:×dT¾JvÝ^QYP�[�× P�Þ@× P[dP�?DÙdP�]%Ö�;vñP\ò�Ö\TSP�?DÙl[<Øè;>×©J�X«PA:× P�?^]@×dP|ÞÇ;>QYÕU?@;>HZT¾JvQ@P�÷UÞÇJv?^[dTS;:?Z;vØÃÙdc@P�Ö\=^×dRjJjÙ =@× Pv6@a©c@PM[dõD=^J:×dP

¸³i�m>�nk¨m>g�t�£`Ä«�nk¨r�knmDt��kni�m§knmZ�¢g £�iv¤:u:mDtr�kn�©�¢mUt�¬u:¡�kn¡¢tmU¤�¼©gl¡�kno�m�{³s:��knr�k¨°lt��kni�m ��{×d;U;vÙ�;vØWJ:× Ö%QYP?@AvÙ cÀØè×d;>H*Ùdc@P1QSPJ:]@TY?Â�P]8A>P%;vØWÙdc@P�JvTS×dØè;:TSQ�á³J>[q=Ç[P�]ÜJ:[qÙdc@P1TS?8ñ]8P�ÞIP�?^]@P�?DÙ�RjJ:×dT¾JvÝ^QYPMØè;>×WÙ c@P[dPqÞI;:QSÕU?@;>HZTSJ:Q¾[³J:?^]ÈA>QS;:Ý^J:QYTSø�JjÙdTS;>?ZHZP\Ùdc^;U]�A�äZá©J:[=^[P�]z6ÃëW[�ÖJv?¿ÝÇP�[dP�P?ÊØè× ;:H íÂ:=@× P1þ# 8BzÙ c@PZ×dP�[=^QÆÙ TS?@A%JvTS×dØè;:TSQ&TS[�H�=^ÖlcÉ[dHZ;U;vÙ c@P�×P�R:P?�Ùdc@;>=@A:cÈÙdc@P§]8×lJvAZT¾[W[d;:HZPá4c^JjÙ c@TSA>c@P�×6Çû�?�Ù c@T¾[WÖJ:[dPvBIü|7S!^ç�XÜá³J>[WJvÝ^QYP"Ùd;í^?^]�;:Þ8Ù TSH�JvQ>[d;:QS=8Ù TS;:?^[ÃØè;:×+HZ;>[Ù+;vØ^Ù c@P [d=@Ý@Þ@× ;:Ý@QSPH�[ÃJv?Ç]"Ù c@P©P[ÙdTSH�JjÙ P]"FWP[ [T¾Jv?Ö\;:?Ç]8TYÙdTS;:?È?U=@H�ÝIP�×l[Wá³P�× P�ÝIP\Ù�á³P�P?Åþ� ��Jv?^]Åþ# * TS?^]@TSÖJjÙ TY?ÂZÙdc^JvÙMÙdc@PZ;>Þ8ÙdTSHZTSøJvñÙdTS;:?ÈÞ^×d;>Ý@QSP�H�T¾[WÝIP\ÙdÙdP�×�ÞI;>[dP]K6zû�?¿_&TYA>=@× P%þ:þ:BÇÙ c@PZÖ\=@× RjJjÙ =@×dP�[W;:Ø<Ùdc^P�;>Þ8ÙdTSHZTSø�P�]JvTS×Øè;>TSQS[KJ:×dP`[c@;já4?«6�a©c@P©JvTS×dØè;:TSQ¾[I;:Þ8Ù TYHZTSøP]�=^[dTY?ÂW[Þ^QYTS?@P�[«[dc@;jáêR:P×dÕ�×d;>=@A:c�Ö\=@× RjJjñÙd=@× PW]8T¾[Ùd× TYÝ^=8ÙdTS;:?Ç[}á4c^TYQSP³Ùdc^;>[dPW]8P[dTSA:?§á4TYÙdcZÖ\=^×dRjJjÙ =@× P RjJv× TSJ:Ý@QSP[&[c^;já�[dHZ;U;vÙ c@P�×]8T¾[�Ù ×dTSÝ@=8Ù TS;:?^[�6@ë Q¾[;�[dc@;já4?�T¾[©Ù c@PqP�GIP�Ö�ÙW;:Ø<TYHZÞI;>[dTS?@A�HZ;:?@;:Ùd;:?^TSÖ�TYÙ�Õ�;>?�Ùdc@P�Ö\=@×dñR�JvÙd=@× P�;>?ÜJÈQ¾Jv× A:P§ÞI;:×dÙdTS;:?À;vØ©Ù c@P%=@Þ^ÞÇP×�J:?^]ÀQS;já`P×"[=@×dØºJ:Ö�P[�6}ëW[�Ö�J:?êÝÇP1[PP�?Øè×d;>H�Ù JvÝ^QYP|þvB�Ùdc^P�× P`T¾[&J|[dH�JvQSQ:;>Ý8ú�PÖ\ÙdTSR:P<Øè=@?^Ö�Ù TS;:?qTS?^Ö�×dP�J:[dP¢J:[ [d;UÖ�T¾JjÙdP�]Má4TYÙdc"Ù c@P[dPJ:]@]8TYÙ TY;>?^JvQITS?@PõD=^J:QSTÆÙ�Õ§Ö\;>?^[Ùd×lJvTS?DÙ [�6

0.00 0.20 0.40 0.60 0.80 1.00-0.06

-0.05

-0.04

-0.03

-0.02

-0.01

0.00

0.01

0.02

0.03

0.04

0.05

0.06

X

Y

Baseline airfoil

Globalization #2

Globalization #1

Curvature variables #2

0.0 0.2 0.4 0.6 0.8 1.01.5

1.0

0.5

0.0

-0.5

-1.0

-1.5

X

Cp

Baseline airfoil

Globalization #1

Globalization #2

Curvature variables #2

,.-0/ �t1��Ç� {³s>��knr�kn°lg�¤|�`k¬£�¦Sik¨�n¡&tmU¤�x«£�gl¡�¡�¥:£�gl¡&¼³k¨¡ª��£�kn±>¥>��kni�m>¡Ã¯<k¬��f�Y}t�£�kni�¥>¡+{³s:��knr�k¨°lt��kni�m��gd��fDiv¤>i�ni�o�kngl¡

ëW[ZHZP?>Ù TS;:?@P�]ÅJ:ÝÇ;jR>PvB¢Jv?�;>=8Ù [Ù J:?^]8TS?@AêõD=@P[ÙdTS;:?ÛT¾[§á4c@P\Ù c@P�×1J:]@]@TY?Â¿HZ;>×dP[�ÙlJjÙdPWPõD=^JjÙ TS;:?ZÖ\=@× RjJjÙ =@×dPWTY?@Øè;:× H�JjÙdTS;>?"Ùd;"Ùdc@P|;:Þ8Ù TYHZTSø�JjÙdTS;>?�[d=@Ý@Þ@× ;:Ý@QSPH�[}á³;:=^QS]Þ@×d;8]8=ÇÖ\P�HZ;:× P�×dPQYT¾J:Ý@QSP|Ö\;>?UR:P�× A:P?^Ö\P:68ûªØ}Ù c@P"Q¾J:[Ù4å§ÙdP�× H�[©TS?!P�õD=^JjÙ TY;>?¿ßþ# Dà³á`P×dPJ:]@]8P�]¿Ùd;�Ù c@P�;>Þ8ÙdTSHZTSøJvÙdTS;:?Ê[d=@Ý@Þ^×d;>Ý@QSP�H�BK;:×"TYØ©Ùdc^P%[TSHZÞ@QSP§õD=^J:]8×lJjÙ T¾Ö�Þ^×d;>A:×lJvHA:TSR:P?ÊÝUÕÈPõD=^JvÙdTS;:?Ûß�þ�ä:à�á³P�× PqØè;>×dHZP�]ÉJ:?^]É[d;:QSR>P]zBzÙdc^PZ×dP�[=@QYÙMá`;>=@Q¾]ÊÝIP�J!Ùd× =@PXÃJvA>× J:?@A:P4üWP�á©Ùd;>?ZHZP\Ù c@;8]ZJv?^]§A>QY;>Ý^JvQ@Ö�;:?UR:P×dA>P�?^Ö�P`HZTSA>c>Ù�ÝIP|J>Ö�Ö\PQSP�×lJjÙdP�]z6DV`P�×dñÙ JvTS?@QSÕ:B@Ùdc@T¾[4T¾[ [=^P�TS[W;:?@Pq;vØ+Ùdc@P�HZ;>[Ù ÞÇ;:ÙdP?>Ù T¾JvQSQSÕZTYHZÞI;:×dÙ J:?DÙ4J:QSA:;:× TYÙdc@HZT¾Ö4T¾[ [=^P[QYP�Ø¾Ù³=^?^J:]@]@×dP�[d[dP]ZÝUÕZ;>=@×©á`;>×dïZ[d;"ØºJv×©PR:P�?%Ùdc@;>=@A:c%Ùdc@P�Ö�;:HZÞ@=8ÙlJjÙ TY;>?^JvQÇÖ\;>[Ù4Jv?^]Þ@×d;>A:×lJvHZHZTS?@A�T¾[ [=^P[MTS?UR:;:QSR>P]�TS?ÀP\÷@JvHZTS?@TS?@A1TYÙq[Õ8[ÙdPH�JjÙdT¾ÖJvQSQSÕ%Øè;>×�Ùdc@P!Ö�J:[dPZ;vØRDT¾[ Ö\;>=^[©Ö\;:HZÞ^×dP�[d[dTSÝ@QSP©î^;já J:×dP�Øè;:× HZT¾]@JvÝ^QYP:6

� � ¼|yUxzy:ö&i¥DmDo:w:g ��yUt��¾y

0.0 0.2 0.4 0.6 0.8 1.0-2.5

-2.0

-1.5

-1.0

-0.5

0.0

0.5

1.0

1.5

2.0

X

Curvature

Spline mode shapes, globalization #1Spline mode shapes, globalization #2

0.0 0.2 0.4 0.6 0.8 1.0-2.5

-2.0

-1.5

-1.0

-0.5

0.0

0.5

1.0

1.5

2.0

X

Curvature

Curvature variablesCurvature variables, monotone curvature

,.-0/ �t1z1U� p&¥>£�´t��¥>£�g<¼©kn¡ª��£�kn±D¥:��kni�mD¡}i¦z{³s>��knr�kn°lg�¤M�¢k¬£�¦Si�kn�n¡<tmD¤��fDg¢Ä �@gl� �+i�¦Ip&¥>£�´t��¥>£�g��imDi��i�mDkn�lk¬�·uZp&imD¡ª��£tknmj��¡

� Â©Ò�� &Ï%�C¿P"cÇJ�R:P�TSHZÞ@× ;jR:P]�Ùdc@P�[TS?@A>QYPMÞI;:TS?DÙW]8P[dTSA:?�Jv?^]�;>Þ8ÙdTSHZTSøJvÙdTS;:?%HZP\Ùdc^;U]@;:QS;:A>ÕZTY?a4L ëWü|ë û�LEÙ ;!TS?^Ö�QS=^]8P"J�×lJv?Â:P";:Ø<A:QS;:Ý^J:QSTYø�JjÙ TY;>?%[Ùd×lJjÙdPA:TSP[WJv?^]�P�÷UÙdP�?Ç]8P]�TYÙ|Ùd;J%H�=@QYÙdTYñªÞÇ;>TY?DÙ ]8P�[TSA:?ÈÖJvÞ^J:Ý@TSQSTÆÙ�Õ:6i�³;vÙ cÊP�?^c^Jv?^Ö�P�HZP?>Ùl[ TSHZÞ@× ;jR:PMÙ c@P�× ;:Ý^=^[�Ù ?@P[ [Jv?^]�=^[dP\Øè=@QS?@P�[d[&;vØIÙdc^P©ÖJvÞ^J:Ý@TSQSTÆÙ�Õ:6�CÀP©c^J�R:P©;vGzP�× P]�J�× JvÙdTS;:?^J:QSP�Øè;:×�Þ@× P\ØèP×d× TS?@A Ù c@P[P?^[TYÙ TYRUTYÙ�ÕZHZP\Ù c@;8]!Ùd;ZÙ c@P�J>]�ú�;:TS?DÙ HZP\Ù c@;8]!TS?�Ù c@PqÖ\;>?DÙdP\÷UÙW;:Ø<JZ×dP�]8=^Ö�P]1A:×lJ:]8TYñP�?DÙ HZP\Ù c@;8]%ÝUÕ%[dc@;já4TS?@A�Ùdc^JvÙW[;>HZP�[dPÖ�;:?^]!;:×l]8P�×©TS?8Øè;>×dH�JvÙdTS;:?ZT¾[³TS?@P\÷8ÞIP�?^[dTSR:P�QSÕJ�R�J:TSQSJ:Ý@QSPWTS?�Ùdc^P�[dP�?^[dTYÙdTSRUTÆÙ�ÕZHZP�Ùdc@;8]z6ÇC¿P�c^J�R:P�]8T¾[dÖ�=^[d[dP]!Ù c@PqP�GIP�Ö�Ù|TS?�Þ@×lJ:Ö\ÙdT¾Ö\P;vØ�[�ÙlJ�ÕDTS?@A�×dPQ¾JjÙdTSR>P�QSÕ�Ö�QY;D[P|Ùd;§Ù c@P�H�Jv?^TÆØè;>Q¾]§;vØ�[;>QY=@ÙdTS;:?^[¢Ùd;�Ù c@P"[�ÙlJjÙ P�PõD=^JjÙ TS;:?^[á4c@T¾Ölc!TS?�Ù c@T¾[4Ö�J>[P�Jv× PMc@TSA:c@QSÕ§?@;>?@QSTY?^PJv×6¿J��9�«Ï,�«Í|Ó��yW�!yDh`yUh&kng ��g £�r"tm^w � y T y@��gl�n´vknmÇwD»&y8e³y��i�f>mD¡�imÇwz�>yUÄ�y8h&¥>¡�¡�i��ng ��k¾wU¼|yUxzy:ö&i¥DmDo:w�Ûyzxzy+�`¥��@r"t�mÇwIp`yK�«y+�³kn�nr�gl¡lwItmD¤��!yz¼³£�g �ÆtvyKh&i¥DmD¤Dt�£�u��Itlujg £�p&i¥DsD�nknmDoZknm�tT g mDg £t��<p&i�m:ÂUo�¥:£t��kni�mÊ»D¥>�n�+xzi��g mv��k¨t��<p&iv¤>g�yKeIgl�fDmDkn��t�� gls8i£��h�p��>e�Ä}p��`�·��jw8h&ijglknm>oqp&i�r�sD¥:��g £`�:gd£�´:kn�lg ¡lwÇ�l��:y

�vy T y�h&k¬£�i�¡&tmU¤"{|y T fUt\��t¡lyvxKt\£t�n�ngl�@�It�o£tm>o�g �º¸`g ¯��i�m:��©£�u:�ni\´j�ª�v�dfv¥:£}��g ��fDiv¤:¡}¦Si�£x«¼4ÄK��p&i�mD¡ª��£t�knmDg�¤ê{³s:��knr�k¨°lt��kni�m^y+xKt\£��¶n�+e+f>gh�©£�u:�ï\´j��:�fv¥>£q�vi��n´�g £�y&eIgl�fDm>k¨�lt�� gls8i�£��w��Çt±8i£t\��i£�u|¦Si£��gl�fUtm>kn�l¡lwj�¢�öi£�k¬��fDr�¡lw�tmD¤�p&i�r�s>¥>��knmDo:wjp+t\£�mDglok¨g³��gl�¬��nim(�³m>k¨´�g £�¡�k¬��ujw>��vy

�:y � y�Ä�y\h}£�u:¡�i�m t�mU¤³ö|y\p`y4�ì>y2�D��%� ��H��=�%�0�0�� t�y¡&¢t£z�0¤¥¢��§¦=�¨� �0�0��ª©� ��0�0¢t£�«y¬�n�0�0�� t�0�®¢t£�« 2£z�¯¡&¢t£z�0¤¥¢�� yz�`glr�kn¡�sDfDgd£�g�wv¸³g ¯Üö}i£�®8w@��{vy�>y�°Wy �ªp`yvp+tk¾wv��yj¼�y T £�isDs^wv¼�yvÄ�y��4g ujgl¡lw � y T y>��gl�n´vknmÇw:t�mU¤M¼�y:xzy�ö}i�¥>mDo>yjxKt�£t�n�ngl�¸`g ¯��i�m:�±�©£�u>�ni\´j��:�fv¯+t�£�°<�¢�öi£�k¬��fDr�¡«¦Si�£&��f>gè^£tmD¡�imDkn�`»D¥D�n�Uxzi��glmj��k¨t�8ÄÃµj¥Ut��knimÇy²#³ �b´¶µ�· ²z¸ �®·¹¡&¢2�b� º��·Æw 1�i �U�� X» � � {jwK��:y

¸³i�m>�nk¨m>g�t�£`Ä«�nk¨r�knmDt��kni�m§knmZ�¢g £�iv¤:u:mDtr�kn�©�¢mUt�¬u:¡�kn¡¢tmU¤�¼©gl¡�kno�m�{³s:��knr�k¨°lt��kni�m ��{vy�°Wy �ªp`yvp+tk¾w>tmU¤M¼|y:Ä<y#�4gdujgl¡lyj¸ì�mD�nknmDglt�£��¬uqx«£�g �li�mD¤>k¬��kni�mDgl¤q¶·mDg ~>t�d�&¸`g ¯��i�m��`�no�i��£�k¬��f>r�¡ly>¡�¥>±Dr�k¬��g�¤��i ²�³ ��´¶µ�· ²z¸ ��·�¡&¢t�� º��·� y Ä�y#�Dyvp}£tr�g £�w#�>yvÄ<yv¼³glmDm>k¨¡lw�xzyj¼�yv»>£t�mD®8w � yv�!yj�Çg ¯<kn¡lw>tmD¤ T y � yj�:fv¥D±>knmÇyjxK£�i�±:��nglrì»Di�£�r�¥>�Æt\��kni�mM¦Si�£¢��¥D�¬��k¨¤>kn¡��lkns>�¨knmDt�£�uq{³s:��k¨r�kn°�t\��kni�mÇy ²�³ ��´¼µ�·&�¨�%�0�0�½�ª©� ��0�®¢t£>w S ��#{�� » �� wz�l��>y

�vy � y��8y\¼©glr�±8i:w��@y\p`y�Ä«kn¡�glmD¡ª�t\��wtmU¤ e³y��v��g k¨fDt¥>o>y\¶�m>g ~>t� �I¸³g ¯��imM��gd��fDiv¤>¡ly ²#³ �b´µ�¢2º�¤n£z t�¨¢t£d¾¿º��O¤�� ¸ t� ��£y �� À2Á�0 1�i �>�� » ��vwK��vy�:yW�!yl¼³£�gl�¨t:y%Â¨Ã�¢�ÄMÅ��M�Z�O£yÁ�®¢2£z ��%Â�¤¥ t£yn¢t£�� ¸ ��O¤¥¢4�tÀ2£y t�� ¸ Å��OÁ�§Æt£Z t£y��£z �� À6Á�0�Ç+Á�0£�ÆÂ9È��\¬�º��§�O¤b¬.É�º� ��0�®¢2£y�y@x«fD¼�¼©kn¡�¡�g £��t\��kni�mÇw8��¶ªe³wÇ��{vy�:yW�!y@¼`£�gl�¨t:y^xK£�i�¡ tmD¤%p&i�mD¡4i�¦+�¢k¬£�¦Si�kn�}{³s>��knr�kn°�t\��kïmÇy¨Ê%¤¥¢t£z�0�®�O¤��¢HËÌ¡&¢t�� º��® ��0�®¢t£y ��ÊD� º��®�½Å�À2£y t�� ¸ �Í�Î�ÎtÏ�w:��i�£��¨¤Z�:�lknglmj��k¬ÂU�wÇ�l��vy�l�:yW�!y>¼³£�gl�¨tvyyY`k¨¡�� i�¥D¡¢t�mU¤�¶·mv´:kn¡��lk¨¤q¶�mv´�g £�¡�g �v�df>glr�gl¡��`¡�knmDoM¸`g ¯��i�m^¹ ¡`��g ��f>iv¤^y ² ��Ä¸ �0 ��+¡&¢tº�¤��¢t£ ³ £�Ð6�O¤��\´]��ÑÈ�¢4�t+ËO¢t¤¹��0¤MËO¢t�®��Å��OÁ�§Æt£�ËO¢t¤¹��O¤¥¢t£z 2º��0� ¸ t�= t£y�¯Â�º�¤�ÒH¢�Ä�� ¸ È��0£z�O¤�À��D��%� � ¸ t�0�®¢t£y�wU� T � � ¼ � g s8i£��<¸³i:y8��vwI��vy��y � y�»z�ng ��fDg £�ytÓ�¤l ¸ �0� ¸ ��´]��ÑÈ�¢4�2¹¢HË¿�¨�%�0�0�½�ª©� ��0�®¢t£>y��mD¤Wg�¤:mÇynw6��i�f>mW�Àk¨�ng u|t�mU¤W�:imD¡lw

¸`g ¯êö}i£�®8wÇ�l��vy��vy xzyÃÄ�y T k¨�n�¾wÃ��y&��¥>£�£tlujwÃtmD¤¿�!y��|yK�!£�kno�fj��yDÓ¹¤¥ ¸ �0� ¸ ��¨�%�0�0�½�ª©� ��0�®¢t£>y<�l¡ª�"g�¤:mÇynw

�¢��t�¤:glr�kn�4xK£�gl¡�¡lwU¶·mD��ynwD�>t�m§¼©knglo�i:wI�l��:�y�l�:y xzyDÄ<y T kn�¨�¾w^�8yz�Dyy�©t�r�r�g £��nk¨m>o>w:��y@��¥:£�£tlujw8�!yU�Wy@�:t¥>mU¤>gd£�¡lwUt�mU¤Z�!yU�WyD�!£�kno�fj��yÇ¨��O¤�Ô �Õ�º��®�#�¨Ë�¢t¤�Ö ²�² �DÖ�×XØ��O¤�Á�®¢t£(Í�·0ÙOÚ6¦��ÛÊ¹�&Ü¿Â%Üb�.¾ÛÓ¹ ¸�Ý 4Æ#� ËO¢t¤�¡&¢2£yn�0¤l t�M£ �H�Ö+�0£ �H t¤�Ö=�H tn�®Ä ² É�º� t¤l�O¿ t£y�Ì¡&¢t£�Ð6�ÁÞgß�º� ��t¤¥ ��0� ¸ Ó�¤l¢ÁÆt¤l 2��M£#Æ�yv�j�tm:¦Si£¤��`mDkn´�g £�¡�k¬�·u

eÇgl�df>mDkn��t�� gls8i£��w>¼©glsDt�£��r�glmj��i�¦Ã{³s8g £t\��kïmD¡ � gl¡�g�t�£��fÇwÇ�� y� �>y xzy`Ä�y T kn�n�¾w³��y³��¥:£�£t�ujw³�!y`�Wy³�:t¥DmD¤>g £�¡lw`t�mU¤Å�!y©� y¢�!£�kno�fj��y(Ç+��O¤�Ô �Õ�º��0�#�Ë�¢t¤h¾�Ó ² �DÖ×6Ø��O¤nÁ�®¢t£@ày·MÙOÚ6¦��¶Ê��Ü¿Â%Ü��¾LÓ¹ ¸�Ý 4Æ#�]¾�¢2£z� �0£z�Á 2¤hÓ�¤l¢ÁÆt¤¥ t��½�0£#Æ�y

�j�tm:¦Si£¤��`mDkn´�g £�¡�k¬�·u�eIgl�fDm>kn��t� � gls8i�£��>{©�I� � ��vwj¼©g sUt�£��r�g mv�Ãi�¦z{³s8gd£t��kni�m>¡ � gd�¡�glt�£��fÇw^�� y

�7{vy � y�e³y#�©t\¦Y��®t4tmU¤�áKy TUâ¥>£¤>t�¾y�¬.�§�O��O£z�0�¢HË ² �0¤nº ¸ �0º�¤¥ �� ¨�%�0�0�½�ª©� ��0�®¢t£>w��4�n¥j¯+g £&�`��t\�¤:glr�kn�4x«¥D±D�nkn¡�fDgd£�¡lwUh&i¡ª��i�m^wI��jy

� � y©�ÛyIxzy9�³¥��@r"tm^w � y T yz��gl�n´vk¨m^wI¼|yIxzy@ö}i�¥Dm>o>w^»&yIe³y¨��i�fDm>¡�i�m^w¨�DyÇÄ�yzh}¥D¡�¡�i��ng ��k¾w�!y�h`y<h&kng ��g £�r"t�mÇw+tmU¤Üp`y��Ãy¹�`k¨�nr�gl¡ly+x«£t�� kn��t�4¼³gl¡�kno�mÚtmD¤Ü{³s>��knr�kn°�t��kni�mêknmp&ir�sD¥:�t��kni�mDt�Ç»z�¨¥>k¨¤�¼³u:mUt�r�kn�l¡ly>�`¶ª�`�ÅxKt�s8g £³��·�v��wI�l��vy

��vy � y��tr�gl¡�imÇy��¢g £�iv¤:u:mDtr�kn�§¼©gl¡�knomê´:k¨tÈp&imv��£�i�©e+f>gli£�ujybµ�¢tº�¤�£y ��\¢HË ²y¸ ��O£z�0� ã ¸¡&¢2�b� º��0�0£�Æ�w 5 �U�� » � � �vwK��:y�l�:y � yz�jt�r�gl¡�i�m^y8�¢kn£�¦Yi�kn�n¡4�³¤:r�k¬��k¨m>oM¸³im>�º¥Dm>k¨µv¥>g �:i�n¥>��kni�m>¡ì�¦Ã��f>gWÄÃ¥>�¨gd£©ÄÃµj¥Ut��knimD¡ly

�¢¶ª�`�ÅxKt�s8g £`�:� �� {jwz��:�y�l�:y©�Ûy��|y2��i¥Çw��y�xzy��³¥��@r"tm^w¼|yjxzyö}i�¥>mDo:w � y T y:��g �¨´vknmÇwj�!yvh`y�h&kng ��g £�r"tm^wvp`y��Ãy�`kn�¨r�g ¡lwIt�mU¤�»&yIe³y=��i�f>mD¡�i�m^yzxK£t�d��k¨�lt�<p&imD¡�k¨¤>g £t\��kni�mD¡Wknm��`gd£�iv¤:u:mUt�r�k¨�|¼©gl¡�kno�m

{³s:��knr�k¨°lt��kni�m^yD�¢¶ª�`�ÅxKt�s8g £`�_{\��vwz��_{jy��:y xzy&�Dy}�ÇtmD°l¤:£�i�m^wÃ¼�y��Dy � i¡�g�w}tmU¤^�Dy}e³y«�êkn�n®�gl¡ly&�`mÊ�`mDt�¬u:¡�k¨¡�i�¦4�¢sDs>£�i�~:knr"t��g

¸ì�m>�¨knm>g�t�£|Ä«�¨knr�knmUt\��kni�mÇy ²�³ ��´äµ�¢tº�¤�£y ��¢t£ ²y¸ ��O£z�0� ã ¸ ¡&¢t�� º��0�0£#Æ�w 1�c �){�� » {#{�:w�l�� y

�j��y � y T y<��gl�n´vknmÇw�¼�y&xzy&ö}i�¥>mDo>wÃ��y+xKy��³¥��@r"tmÇw}»&y+e³y��ifDmD¡�imÇw¢p`y+�Ãy��³kn�nr�gl¡lwt�mU¤"�!y:h`y:h}k¨gd��g £�r"tm^w�å � gl� glmj�+xK£�i�o�£�gl¡�¡�knm��¢g £�iv¤:u:mDtr�kn�<¼©gl¡�kno�m�{³s>��knr�kn°�t\��kïmÇ¹nw¶·mj��g £�mUt\��kïmUt��=��i¥>£�mDt�@¦Si£`¸³¥>r�g £�kn��t�Ç��g ��f>iv¤>¡<knmZ»z�n¥Dk¨¤>¡lw 5y� wU��{ » �v� �¯æ ��çy

��vyWp`yU�@yU��i£tl¯&g ��°�y�¡&¢2��Z·9Ó�º�¤H��D��%�§·=´B t�ÑÈ�·Æw 1�� >��vwz��{��jy��:yWp`yU�@yU��i£tl¯&g ��°h¡&¢t��·%Ó¹º�¤H�� §·¨´¯ ��ÑÈ�·Æw 1z1 �^�\��:wI�l�_{��:y�\�>y xzy�Ä�y � ¥>±D±8g £��y�p+»z¼ÀtmU¤4��fDg+p&fUt�mDo�knm>o`��i�£��¨¤|i¦U�`k¬£�sD�¨t�mDg&¼³gl¡�kno�mÇy�¢¶ª�³��!£�köfj�

hÃ£�i��fDgd£�¡`�^gl� ��¥:£�g�w8�vgls>��y@�l��:y�#{vy©ö|y@�:t�t�¤@y ³ ��O¤¥ ��0�0Ð6�½´]��ÑÈ�¢4�tDËO¢2¤ ² �� t¤nO��Ö+�0£ �H t¤ ² À6n��O��y^xK�Ú�§xÃ¥>±D�nkn¡�fDknmDoqp&irM�

sDtmjujw:h&i¡ª��i�mÇwÇ��_{vy


� � y4¼|yvxzy�ö&i¥Dm>o>w � y T y>��gl�n´vknmÇw:�!y:h¢yvh&kng ��g £�r"t�mÇw:»&yve³y��ifDm>¡�i�mqtmD¤��8y:�@yv�>tr"t�mj��yT �ni±Ut�¢p&imv´�g £�o�g mD�lg�i¦`¶�mDgd~Dt�� M¸`g ¯��i�m¿��g ��f>iv¤>¡|¦Yi£qeÇ£t�mD¡�imDkn�§»z�ni�¯4y ³ £z��·�µ�·¾¿º��Z·=´]��ÑÈ�·=ÊD� º��®�t�w 1z1 �^��{ » ��_{vw«�l��vy��vy4¼|y�xzy�ö}i�¥>mDo:w � y T yj��gl�n´vk¨m^w:�!yjh¢yjh&kng ��g £�r"t�mÇw�»&yje³y��i�fDm>¡�i�m^wv�@yj�@y��>t�r"tmj��w�t�mU¤�>y8Ä�y8h&¥>¡�¡�i��ng ��k¾y@��^ij��t�n�¬u � g ÂUm>g�¤ � gl� �t�mDo¥D�¨t�£ T £�k¨¤Z»zk¨m>k¬��g|Ä«�nglr�glmj�`��g ��f>iv¤9�

�¢sDs>�¨kn��t\��kni�m"��iMp&ir�sD¥>�t\��kni�mUt��^»z�¨¥>k¨¤q¼³u:mDtr�kn�l¡+t�mU¤�p&i�r�s>¥>�t��knimUt�@x«fju:¡�k¨� ¡ly9µ�·¡&¢2�b�9·9ÓDÈ�À2�· iz3 �Ç� »�� wz��:�y��:y4¼|y�xKy\ö}i�¥>mDo>w��Ûy�xzy6�³¥��@r"tm^w � y T y��gl�n´vknmÇw��!y�h¢y�h}k¨gd��g £�r"tm^w�p`y�«y2�`kn�¨r�g ¡lw�t�mU¤

»&yIe³y=��i�f>mD¡�i�m^yI¶·mDg ~>t�� mDgl¡�¡ t�mU¤ T �ni±Ut�&p&i�mv´�gd£�o�glm>�lg�knm�¼©gl¡�kno�m�{³s>��knr�kn°�t��kni�m^y�¢¶ª�`�ÅxKt�s8g £`��º�� wz��:y

��:y4¼|y&xzy«ö}i�¥Dm>o1t�mU¤Ê¼�yÃÄ<yD�4g ujg ¡ly}¸`g ¯��i�m^¹ ¡��gd��fDiv¤¿t�mU¤È¼©gl¡�kno�mê{³s>��knr�kn°�t��kni�m^y¶ª�D�:e�Ä&p��¢�� ·�:��w8�§t�u��l�� y

¼|yuxzy:ö&i ¥dmdo:w:g yut ¾ycaliente/young-lnsce.pdf$+ , .-0/1 + 2 34 +...

Documents