Solutions

!"$#&%(')"+*,-/.0"
122"43*5!31,68794.06:<;2=>?A@1B4#CDC?
EGFHJIGKMLNFOP
?D>RQ)4SJDT!TUWVXY"4-Z.0,[)4&A"\2]^).0.0,_3`"\235.0"43+a2,[
?D>bcd,[Te-,.3fhgji
#1>b3dY=+c,[Tkfmlni
@1>Xopn-,.3fgjiqArMs
t > o&ou cd,[TkfmlnijqwverDx
#1>Re&y{zj_)4_,2-D!"S)4_|\T}.0"4~Y"\Tc4]3&z€+‚ƒ.0"\3:T!‚„zj~,!"/[23….]
)4_zjc"\34.0,€†S)\!]^,2-D!">R‡€†ˆ,[2"‰Š])42,[6
‹
‹“‹D”–•  —š ™œ›1
pŒXŽ rDn‘r Žn’
—˜–™ žŸ D¡£¢¥¤“¤D¦§D M¡¨¢¥§D©0ª«w©¬­®¯
1° ± ¬h©D®²³4«´jµ¶·4¸\©0ª¹(º¥»!¼½³4«¶·\»Y½¿¾2»Yª¾2À!«bÁX»Y½³Â½³4«bµª[»U«·/½©0½[»!µA·Ã´j«»·4Ä~¾2À!µ¾Å/ÁX»!¼« ±
²× ³/¶4¼2Æ©_ÇG©0ª©0È뽫ª[»UÉW©0½»!µ·†µÊ˺̻U¼ÄD»YÍD«·†´/¹¬m¾µD¼w¬mήÏ2ÐX¼»Y·¬mήÏÑ/®ÒÊmµªÑnÓÔÎÓÕ§Ö ±
«·4¾2«Æ4Á^«³G©ÍD«
¤DØnÙÛÚ DÜ~¢Ì¤:ß ÝÞ ¬Ð ° ¼»Y·Ë¬JήÏÑÏÑ/®GÚ0¬ÐX¼»·¬JήϾ2µD¼0¬mήÏÑ/® MÎÒ¢¥¤:ß ÝÞ ° ¼»Y· Ý ¬mή DÎ<¢ ° Ö¯
¬N´®à«½$áâ´j«½³\«…À!µWÁ^«ª:¶d·4»Y½+³4«Èã»!¼Ç³\«ª«äµª[»!«·/½[«2¸£´¹Ô½³d«å¸µwÁb·/Áb©0ª¸¨¶·4»½
·\µªÈZ©À ±Ræ ¹†ç½µÅD«2¼è4½³4«2µª«È
¤ Ø Ù¥ÚA MÜ¢¥¤“¤D霾¶dª[Àk¬mÙê®Úwëe ì¯
í
"!#$%%&'()*,+ .-0/21
3 546879:
;<=79><8*@?:A4B8<*@?679C<*@?654B
;<DA4B8
E ;F".GH7IG0JFK:LMGN4OGPK:#RQST?
U3
VBWYX[Z\ ]^=Z_9`>\]^ Z W `a^8bdcZ_9`>\ ]^Z W `a ef^b@cZ W ``
Vhg
ihjOkl>mfn8odp6l j9q no@p6l5r qstu n=l j9q n8odpvlAr qs8w9qx
y"z p t zF{}|~}z t uF8 z nC€ u pTo@p}‚'p uF8ƒ…„F†T‡ z t | uF o,n

z |ˆ‰ t u n l j9qCŠ t u nDlAr q n8odpl j9q>‹ t u nl5r q mfno@pŒ l5r qq
w
mfn8odp6l 9j q n o@p6l5r qŽt u nl j9q no@p6l5r q
kl tu nDl j9q no@p}‘l5r qs mfn8o@p:l j9q n8odp}‘lAr qst u nDl j9q n8odp6lAr qqx
qœ›Pw„ tu q – w { u
’ u | t z"|8~ „ | t z“v”•.– –H“˜—™zš~ „‡ z|~ „ |
|~ „ | o |~}z †¡„ n | n8odpt u¢uF o@p „ |z r o,n – w˜„ pT ~}z p t z o,n no@„ p6l5 r u — p — „% pT£ € u o@p nDlž| Bodp}Ÿ ‚…Š p uF8ƒ…„Fn †¤
’ u —¥—Sz ~ „ ‡ z
¦§¦¨"©«ªD¬®­¯
k
¦ ‘° ¦ ° wsws q ª t u j9q
­ ­j
q
s
9
j
q
q
s
t
u
9
j
q
q
q
k ±
l m"´ l n%l no@p ‘ l5r mfno@pl n8o@p ‘ l5r nl no@p6l5r r
³
°
C
²
‘
¦ ¦
­ ­
k ± ‘° ° m"´ t u nl j9q n8o@pvlAr q r j
¦ °³°²C‘ t u j9q q ­ •F“ q ´¶h· ¸¹8º»5¼½=¾
q
F
•
“
¾¾ ¿ ºfÁ«ÂFÃÄ
k l
m"´ n l n8odp6lAr rµkl l
°³²C‘
¿FÀ
¶
ÅÆRÇSÈTÉ ÉÊ}Ë¢Ì ¸Í Ê9Î ¹Ï¸FÐ ÎÈ}É ·ÑÒ8Ó ÉÔÕ Ò É »>Ö×8Ø× ½ Õ%Ê}Ë »CÖרר9½ ÆRǜÈ}É Ó É · Î ¸FÒfÙ É Ú,Ë
Û »Ü9Ý%Þ ß%ר×à}Ý=ÞßD½"Í,¹ · ¸ Ê ¹ É Ò8Ó Õ%Î Í@Ó ÉFáâÕ%Ê}Ë Í Ê Ð Ã Õ · Î Û
È}É Ò É »à®×è}×8Üé½
Á
ä
Á
M
ã
ç
å
æ
Á
Ý Þ ß ÆRÇSÈ ÑT¹ á}ê9ëµÎ8ÈTÉ ÐìÑ Ê}Ë}Õ%íîÉÊ2ÎÕFÚÎÈ}É ¸FÒ Éí иFÒ Ú Í Ê}É Í Ê2ÎÉ ï Ò ÕFÚ ¹ á ÉðÈhÕ Óå É
æ
ñFò Û«ó=ô³õ ñFò » ½ ó=ô³õ »>Ö³×Ø× ¶ ½:ö »>Ö×8Ø×Ø9½ Ý º öHÖ
Á ã å
ÁNå
à å
Á ¿ Ä
÷¢ÆùøvÉÎûúüêBÉûÎÈ}É Ñ Ê Í ÎýË Í,¹>þ¥Í ÊNÎÈ}ÉûÌ}Ú¡Õ%ÊTÉýÌÕ Ò ÕFÚ,ÚÿÉÚðÎ ¸ ÎÈ}É à è Ì}Ú¡Õ%ÊTÉ È ¸¹ É
ê ¸FÑ ÊTË}Õ Ò ë Í,¹ Î8È}É ê ¸FÑ ÊTË}Õ Ò ë ¸FÐ Î8È}É ¸ ÌBÉÊ ê ¸ Î8ÎÚ,É 'Æ øvÉÎ êBÉîÎ8ÈTÉ Ò É ï æÍ,¸ Ê ¸FÐ
¶
!"
#$%&')(+*-,.
/0213
4%53
4
+6
7989:<;>=@?AB;C:<DAE=GFIH4BFIH 0J F *K,.LNM#
O021P
%53
4
QL
N%
4RTS.
O13
FVU 133 :<WXHY8[Z3\]Q8_^`^9^3a 021 :<7>HbdcfeIg8[^`^Ph>7_Uijbdkl=m^`^3n7oU'ipb3kQq
n
r 'ST 4>&Rst
/uOu 7vUijb3k *-,.
wxSV%L02yL%RwKt-(z0 X
1P
N4% :<]B]BFIH {13
4t%{|
}02%Rs
4 F *~€
L
7GUi/8F M
LwPLV0J‚0ƒP
5%4j0 {
N„3t&
y%
…y6K(†SV0J‡0 {ˆ*}~‰
4
^9^3h 7_U…ijb3kŠ8[Z3\I]Œ‹
ˆ q
>Žp‘/’“p”‘N•d–—ŽY˜
,.
!02™
4%t
40š.›902@„3
œt0Jm0 y
œR6VxSž-02™
4%t
40š “LPL
€ 02
€02t
5%N%t“
{
NJ 02
Ÿ0 E
‰œR 6xSžy 02L
‰0ƒP
5%4 K¡y
V|%œ
02L5sL
O 02
O0ƒP
5%4j6
;bd?X‹"?fbd;
›K¢ 8
£¤K¥§¦P¤
¨©Lªw«¬­O®­¯N°©Lªw±­²2©³&«¬­X´ ²2©­O²2©«­³µ4¨´j°¶
£&»m¼I½¾3¦O»¦f¾3£
· ¤{¸º¹ Á¿ ÀsÂmÃIÄÅEÆÇÅÉÈ
Ê ËLÌ#ÍÎtϜÐ&ÑÒ2ÓÌ4ÎtÌ4ÔÐtÒ$ÕÖ.ËÕÏ&Õ×ÏÒ2ÔLØÙ֚ÕÎÒ2ÐxÚ@ÕÐ ¿ÁÛÜÛÄŒÝ ËLÒ ÞËm҃Ï>Ò2ÔLÏÒ ÑÌ#ÐËÌÌÖ Ö Ò2ßLÏÌà
.
æ
á"ÌOÏÌ4Ќâ_ã
äå
æNçèéç&êëì+í9î ïðñò'ðsóôõ!ö÷ø&ùúûü
ýþ
ÿ ÿ "!#%$&'())*,+.--0/21234$)'5$&6)712'(18&123$&9/2/21:-;<+.034'(=$&123
+>?*@+(/A/B18B/2<B $ )93C+.$D$&E'()12718"$&E/218051:F$)7( +(/='(G0H6I+J'(=34$&E/2/21:-;
1259K+(/$)'418$)E18$7(9+(/"+.)'(03L+M?*@+(/2/B18B/2NB)$) 3O+.$QP
U)+9@$&VB18B/2
S
&
R
T
-W+. +.*X)$) 1AY93Z
[ P]\ T^ P`_B'JP]\ T R _&18^P]\ T;T a /Ab+.)/8$& Oc [
Ped<_);1:fP]\ _B'.P`\ c\+.03Lg@P [ P]\
P?d<_B9'JP]\ _&18^P]\ _i
TR
T;T
T&Tf
TR
T&T&h $&j/2180j18$7(9+(/WB'(*kl
m ;i n 9B ' i ]P \
&18 i `P \ c\
T p
T rq(s^
o
t
!"#$&%'#(*),+-./02134252627
829:<;=">13#,6?A@,##B28
:18"DCFEG)0B%HCI1A#,872=
J3"7KL=#"M!5N1
,3:A#NO<952*P1Q#"188!SR#D
18B%4T>U
WVX
8YZ362$6N8U?"[6#N!\H]822:"3F278^,!AJ626UU
?5'#!_`LYa2181U9H18
N
Ub#4(L)c+-.
;FdYH:\!U#N2"J3$Y`2#PNH
#BS@,>
@!A#]62">8
A#!IJLYa218N182P18
N8e#P(L),+-.NfB
gh ;Pij>?k,22S/6A#F3'UU?5'#!l_mn9J2I8^c!N gh ;Fo>
18R
f2$DN8Up?bqr5stuD#!vmw2 g<h t gh qyx h ;
x