"
# $%'&()*+ , -/.0 1- ) (
(2-'( 34) , %-/*(25+ 6 (*
798;:=<)>?<+@A:=BDCFEHGJIKIML$@ONO:NKGQP?8
RTSVU
W
UJXZY\[V]^S_[9])`_aTbced^fFghd(UJ](UJY`Vaib
`VaiU=j/Y1gQk9almY1gQnZbhopkrqtsuY1gQS9Uwv=nZbhbhai[Vbhopk9YxygQXzn{opkVai['|rYf}S_X{gh~1g
`_aTUu[Vn{^aiUwbwngh~1gRiS ^Xz[
d(UJ](aX{ai]\gd^[
:@ONKGJ8 @A)BwB
Y\S9b=j [9opk9a[9]XZY`V_YoJk
^Xz[\^\
"!#+!,
-.0/13254#61/#,78 1694':%161.# ;1<=>(>25?+3@ABAC
!"$#&%')( *
+-,.+ /1032547680329;:7<=:?>@0A6B2C,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,F+7+
+-,HG IJ6LKM9E:7<3:7NPOQ0ARTSVU56EWX7<36BNZY5<3:7KT6;/1032[4\]9EW^/J_`,D,E,E,D,E,D,E,;,D,E,E,F+ba
+-,HG@,.+ IJ036EW03<3SVU[RcOQKT:7d-6 ,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,F+ba
+-,HG@,HG e@SVU56L03f 6B25g[h"2i:kjl0ANm,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,F+on
+-,HG@,qp IJ6BKMWX7<36BNZY5<3:7KT6;/1032[4F,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,rGks
+-,HG@,ut vw03RcU56BKc034-6W6BRcRTY525476B2 ,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,rG7a
+-,HG@,qt[,A+ WX-<A6BNZY5<=:kKT6BRxW:kOQ6LKT0=:k<y,D,E,D,E,E,D,E,D,E,;,D,E,E,rG7a
+-,HG@,qt[,zG {|25g50ANk:?OQX-Kc6B2~}5Kxe"OT6BKT2[6B2POQROQ6BUZY52[4,E,D,E,;,D,E,E,rGk
{|X72503Rc036BKOQ6LRJW:kOQ6LKT0=:k<,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,rGk
eZOV:7Y5f,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, p7s
W:7RT6LK ,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, p@+
+-,qp 9<30A6Bg56LKTY5254g[6BK1JKcf6L0AO ,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, p7p
!Z*'5k#b%')(*!@ *
G@,.+ MY5Rcw:7U5<)g56LKMi6L<3g56LK,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, p7n
G@,HG W6LRTRcY5254Y[25g^IJ:kOQ6L25KT6Lg5Y5NPOQ0AX-2 ,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, p7
G@,HG@,.+ W6BRcRTjX@g[Y5R ,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, p7
G@,HG@,HG I8:kOT6B25Kc6Bg5Y5NPOT03X-2m,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,t[+
G@,HG@,zG",A+ I8:kOT6B25Kc6Bg5Y5NPOT03X-2,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,tPG
X-<Ah"25X7j:7f[BY54,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,tPG
eZOQ6BUP6B<A<36B2[KT6Bg[Y5NPOQ03X72,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,t-p
v6L6BKcOTY5254lg56BK1KT6Lg5Y5L036BKOQ6L2e@ 6BNPOQKc6B2,D,E,;,D,E,E,tPa
G@,HG@,zG",zG e"OQ6LUPw6L<3<36L25RcOQ:kOQ0ARcOT03NE;e5W ,E,D,E,D,E,;,D,E,E,t-n
G@,HG@,qp I8:kOT6B25RT:kOQLi:7KQ:kjl6OQ6BK ,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,t-
G@,qp 9tZa& ¡tPn¢,E,D,E,D,E,;,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,t-£
G@,qp[,.+ ¤0AOQ6LKQ:kOTY5K,;,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,t-£
WX-<36LN"Y[<=:7Kc6BRM9E:kR¥,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,raks
xX-2POQ0A2"Y[Y5jlRcRTY5K¦-6h@R§,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,ra7G
¨ 0A25B6L<3 X-RT0.OQ03X7256B2©,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,rakp
G@,qp[,HG
¨
KT4-6Lf52503RcRT6ª,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,ra7a
E:k2i:7<3N?:7KOQ6L2 ,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, a-a
9;6LRTSVUP10325g[034-Nk6B0AOTRTROQKTY[NZOTY5K¢,E,E,D,E,D,;,E,D,E,E,D,E,nPG
W^:7RTRc6Dg[6BK X-KTg[6BKT47KTY525g@wX-<AN76,D,E,D,;,E,D,E,E,D,E,n7t
MX-KcKT6B<3:kOQ0AX-256L2~jl0.OxW{ /7 { / I8:?OQ6B2[RkOTB6B2,E,D,E,nPa
G@,Hp@,Hp IJ0ARTNZY5RcRT03X72 ,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,n
¤)X7Nk:k<303Rc036LKTY5254E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,n
/x6L<=:kOT0A¦-6EeZO7KcN76;g56BK 6o:7NZRJ,E,E,D,E,D,;,E,D,E,E,D,E,n-£
;6L03256jl:7RcRT0A¦76B2JY5R i5RcRT6¥0A29;tZa",A+&G¥Y[25g 9tZa@,qs 7s
6LOQRyg[6BRyRcOT6B<A<=:7Kc6B2~RTSVUPw:7KTL6B2^¤)X"SVU5Rx9;/Je +b£[+&a+bs-akt
G",qt 9Ep-s& p[+,E,D,;,E,D,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,7n
G@,qt[,A+ ¤0AOT6BKT:kOQY5K,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,7n
MX-2POQ0A2ZY5Y5jRTRTY[Kc¦-6h"R,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,7n
¨ 0A25B6L<3 X-RT0.OQ0AX-256B2 ,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,
MX-2POQ6 >"OJg50A6BRc6BK1/16B4-0AX-2 ,D,E,E,D,E,D,;,E,D,E,E,D,E,7£
G@,qt[,zG
¨
KT476Bf5250ARTRc6¢,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,[+
e@Y5jjl6L25RT 6BNPOQKcY5j ,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,[+
E:k2i:7<3N?:7KOQ6L2 ,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,-p
9;6LRTSVUP10325g[034-Nk6B0AOTRTROQKTY[NZOTY5K¢,E,E,D,E,D,;,E,D,E,E,D,E,£Pa
W^:7RTRc6Dg[6BK
X-KTg[6BKT47KTY525g@wX-<AN76,D,E,D,;,E,D,E,E,D,E,£
MX-KcKT6B<3:kOQ0AX-256L2~jl0.OxW{ /7 { / I8:?OQ6B2[RkOTB6B2,E,D,E,£-
G@,qt[,Hp IJ0ARTNZY5RcRT03X72 ,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+os[+
;6L0329;:7<=:7NPOT03RTSVU[6BK1vwXb e"U5X@SVN ,E,D,;,E,D,E,E,D,E,+os[+
¨
j03RcRT03X72,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+os-p
G",za Y5RQ:7jj6B2[}:7RcRTY52[4^,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+os7t
#?% #&%?5 iB!
p@,A+
¨
0A25<36L0AOTY5254r,;,E,D,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+os-
p@,zG IJ036
∆ ¡¦k:7Kc0=:725SL6EW6LOTU5X"g56m,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+7+bp p[,zG",A+ W^:?OQU56Lj:kOT03RcSVU56D9;KcY525g5<3:74-6B2 ,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+7+bp
p[,zG",zG vw0ARTU56LKT0A4-6J2P6B25g5Y[254-6B2 ,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+7+!
p@,Hp e@03jY[<=:kOT03X-256L2 ,D,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+7+b£
p[,Hp@,A+ e@0AjY5<3:kOQ0AX-256B2 ,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+7+b£
p[,Hp@,zG IJ0ARTNZY5RcRT03X72 ,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+bG
p@,qt J2i:7<.h"RT6;g56BRMI8:kOT6B25RT:kOQL6BR ,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+bG7£
p[,qt[,A+ 9tZa& ¡tPn ,D,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+bG7£
p[,ut5,.+-,.+ vw0ARTU56LKT0A4-6Ee"OQKcY5NPOQY5KT:72i:7<.h"RT6 ,D,E,D,;,E,D,E,E,D,E,+op-s
p[,ut5,.+-,HG {|2POQ6L4-KT0A6BKOQ6E;:7KcOT6B2 ,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+op-s
J2i:7<.h"RT6 ,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+op-s
IJ03RcN"Y[RTRT0AX-2 ,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E,+op-p
M2i:7<.h@Rc6 ,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+ot5+
IM03RTNZY5RcRT0AX-2 ,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+ot-t
p[,ut5,HG 9Ep7s? p[+~,E,;,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+otPn
p[,ut5,zG",A+ {|2POQ6B47KT036LKcOT6;E:kKcOQ6L2 ,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+otPn
p[,ut5,zG",zG ;:72i:7<ANk:kKcOQ6L2 ,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+otP
IM03RTNZY5RcRT0AX-2 ,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+&a-G
p[,ut5,zG",Hp ¤03250A6B2P¦-6LKTU 7<.OQ250ARTRc6 ,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+&akt
p[,ut5,qp v |
/xx I8:kOQ6L2 ,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+&a7n
p[,Ha Y5RT:7jjl6L2[}:7RTRcY5254,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+bnPa
!@!?i#b' B!%' ' o[i ok)!(*!" ok)]#o!@
t5,.+ ¨ 032[<36B0.OQY52[4 ,E,D,E,;,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+!kt
t5,HG vw6LX-fi:7SVUPOTY5254-6L2 ,;,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+!-a
t5,HG@,.+ ¤03250A6B2P¦-6LKTU 7<.OQ250ARTRc6g56BKMe@Y5jj6B25Rc6LNZOTKT6L2,D,E,D,E,;,D,E,E,w+!-a
t5,HG@,HG 7Yi4-N76L0AOTRc¦-6LKcOT6B03<AY5254-6L2g[6BKx¤03250A6B2P¦-6LKTU 7<.OQ250ARTRc6 ,;,D,E,E,w+!
t5,HG@,qp /kY5jl<A03SVU56 6BKcOT6B0A<3Y525476B2~032 g56L2 X-<AN76B2 ,D,E,D,E,;,D,E,E,w+b[+
t5,HG@,Hp@,A+
p? G
EGb V+`\
12R3/2
_ª,E,D,E,E,D,E,D,E,;,D,E,E,w+bPG
t5,HG@,Hp@,zG
;G& V+!
13 ;G& V+l\
12/13R2
_ ,E,E,D,E,D,E,;,D,E,E,w+b
t5,HG@,Hp@,Hp
13 ;G& V+
13 +L s\13R2/1_C,E,E,D,E,D,E,;,D,E,E,w+b-£
t5,HG@,Hp@,qt
p? G
13 +L s\12/13R3/1
_ ,E,D,E,D,E,;,D,E,E,w+b£-s
t5,HG@,Hp@,za MX-j¥f503250A6BKOQ6¤032[036B2P¦76BKTU 7<AOT2503RcRT6 ,E,D,E,;,D,E,E,w+b£[+
t5,qp ¤0AOT6BKT:kOQY5K¥,D,E,D,E,;,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+b£-p
t5,ut
¨
KT476Bf5250ARTRc6,E,D,E,;,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+b£-£
t5,ut5,.+ MX-jX-4-6L256BRxWX@g56L<3< ,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E,w+b£-£
t5,ut5,A+7,A+ 9;Kc6B25} 7<3<A6 ,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G7s-s
h"^{c{ X-<3Nk6B2,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G7sPG
h"^{¢X-<AN76L2 ,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G7sPG
t5,ut5,A+7,zG ¨ 2ZO|6B0ASVUP :7U[KTRTSVU[6B032[<303SVU[N76B0.OQRcjlX"g56B<A< ,E,;,D,E,E, G7s-p
h"^{c{ X-<3Nk6B2,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G7s7t
h"^{ :¢X7<3N76L2,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G7s-n
IM036 h"{|f X-<AN76,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G7s
t5,ut5,HG {|25U5X-jX-4-6L256EWX"g56B<A<=:72[RkOTB6,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G7s-£
t5,ut5,zG",A+ X-KTg[6BKT47KTY525g@wX-<AN76L2D:k<3R)WX"g56L<3<7}5K9DW^/ X-<AN76B2G7s-£
t5,ut5,zG",zG 9;KT:7g50A6B2POQ6L2g[6BK15UPh"RT03N?:7<A03RcSVU56B2 :7KT:7j6LOQ6LKD,E,E, G@+bs
12RV HRG3/2 e@ X7OTR ,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G@+bs
12/13R2ELRG e"X7O10A2 g56BK X-Kcg56BKc4-KTY52[g[wX7<3N76D,D,E,E, G@+bp t5,Ha IJ0ARTNZY5RcRT03X72 ,E,D,E,;,D,E,E,D,E,D,E,E,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G@+bp
t5,Ha@,.+ e"OQ6LKT256L2POQRcOT6BUZY52547RQ:7NPOQ0.¦"0AO?O ,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G@+bp
t5,Ha@,HG 103RcSVU56B2PX-<3Nk6B25jl:kOQ6LKT03:7< ,D,E,;,D,E,D,E,E,D,E,D,E,;,D,E,E, G@+!
!Z &!P#&Bk)! k% '5(*!"Z% '!" ! o *)
D,A+ ¤)0A25036L256Bj03RcRT0AX-2~,D,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, G7G@+
D,zG /xX7OQ:kOQ0AX-25RcRT 6BNPOQKcY5jr¦-X72
,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, G7G-a
D,Hp e"OQKT:7U5<3Y[254-RcOTKQ:72[RT X-KcOJ,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, G7G
D,qt J2i:7<.hZOQ03RcSVU56EiX-KTj6B<A2~BY5Kxvw6LKT6BSVU[2"Y[254 UPh"RT03N?:7<A03RcSVU56BK :kKQ:7j6LOT6BKGkp-s
D,za /x6L<=:kOT0A¦-6{|RcX7OQX76L2@ 7Y i4-Nk6B0.OQ6B2 ,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, Gkp7t
~[#o!@&! '% #& ' !@ ! *
vM,A+ I8:kOQ6L25KT6Lg5Y5NPOQ0AX-2 ,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, Gkp
KT6o:kg ,qj6 ,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, Gkp
RT032ZY5RL,qf5:7RTU ,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, Gkp-
RT032ZY5R 1RcOV:kKcOo,uSB<3:7RTR,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, Gkp-£
RT032ZY5R 1j:7RcSVU5032[67,uSB<=:kRTR ,E,D,E,E,D,E,D,;,E,D,E,E,D,E, G?tPs
RT032ZY5R 1X-<.h"25X-j,qSL<=:7RcR ,E,D,E,E,D,E,D,;,E,D,E,E,D,E, G?tPp
RT032ZY5R 5Oo,uSB<3:7RTR ,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, G?tPn
vM,zG I8:kOQ6L2Zf6w6LKcOQY[254,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, G?tP
:7Y[OQX7RT6B<A6BNPOQ0AX-2 ,uSB<3:7RTR;,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, G?tP
:7Y[OQX7RT6B<A6BNPOQ0AX-2 MG@,uSB<3:7RTR ,E,D,E,E,D,E,D,;,E,D,E,E,D,E, G7a-G
vM,Hp e@032ZY5Rci:7KQ:kjl6OQ6BK ,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, Gkn[+
RT032ZY5Rc6LKT0AX@g56 1RcOV:kKcOo,uSB<3:7RTR,D,E,E,D,E,D,;,E,D,E,E,D,E, Gkn[+
RT032ZY5Rc6LKT0AX@g56k,qSL<=:7RcR ,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, Gkn7t
RT032ZY5Rc6LKT0AX@g56 1X-<.h"25X-j,qSL<=:7RcR ,D,E,D,;,E,D,E,E,D,E, Gkn
% B(*! i $#b!8 o$#& !"
,.+
Y525g{|RTX7OTX- 6,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, Gkn-£
,HG W6LOTUi:725X-<
3
,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, G 7p
( ! &B! #
¨ ,.+ Dv /1*xX-RTjl:vw6B:7j /1X7OV:kOTX-KyJRcRT6Ljf5<Ah ,D,E,D,;,E,D,E,E,D,E, Gk-p
¨
,.+-,.+ IJ6LKJv03<3g@}6B<3g[KTX7OQ:kOQX-K,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, Gk-p
¨ ,.+-,HG ¨ 032 iY5dg56BKxi6BU5<! cY5RcOQ:74-6;:7Y@} g50A6Jf5f[03<3g[Y5254-Rc6B03476B25RcSVUi:k}$OQ6L28Gk7t
¨
,HG 13 ;& ,D,;,E,D,E,E,D,E,D,E,E,E,E,E,D,E,D,E,E,D,E,D,;,E,D,E,E,D,E, Gk-£
/1X-f 6BKO
:7i:/0*KT0A6B4-R}X7OQX74-KQ:k}
{|2 OQU[6l0A25256BK;i:kKcOEX7} OTU56W03<3NPh ¢:oh$0)f 6LO|6B6B2 t:725g kNZS9;:7<=:7SOQ0AS/M:kg50300:
U"Y[4-U^OQX7KTY5RMX7} jlX7<36BSLY5<=:kKx4-:7RM0ARJ5Kc6BRc6B2PO 0 OTU56 + +,+ ,*MfX-Y@O
7s Xk}'OTU56;RcOV:kK ¡}X7KTj03254:kSLOQ0.¦"0AO|h0A2 X-Y5Kx9;:7<=:?>"h03Ry<3X"So:?OQ6Bg10.OQU50A2~OQU50ARyKT032[45,
X RcOTY5g[h OTU56[UZh"Rc03So:k<y5KTX- 6BKOQ0A6BR:725gCOQU56L03K¦k:7Kc0=:kOT03X-2¢10.OQU50A2 OQU56WX-<A6BSLY5<=:7K
/x0A254 0w6~SLX-25g5Y[SLOQ6Lg:<=:7Kc4-6 ¡RTSo:k<36RTY5K¦-6LhX7}
;p& G 0
;G& V+~:k25g
13 ;G& V+~:?O
OQU56
+ ++
}X-K8OQU[6 iKTROEOT03j67,
X`KT6Lg5Y5SL6;OTU56gi:kOQ:/05:k2:kY[OQX-jl:kOT03SJKcX-Y[OT03256Jw:7Ryg56¦-6L<3X- 6Bg 051U[03SVU 6LKc}X-Kcjl6LR1:
RcOV:k25g5032[4k ¡w:o¦-6;KT6Lg5Y5SLOT03X-2:725g:`gi:kOQ:? |Rc6B<36LSLOT03X-2 ,
IJY56wOTXJOQU56wU"Y[4-Ugi:kOQ:7RT6O 07{w:7R :7f[<36OTX8KT6L6L¦k:7<AYi:kOQ6RTX-j6}X7KTj6BK :k2i:7<Ah"Rc6 |Kc6BRcY5<AOTR
X7}i:7KOQR X7} OTU56JSLX&¦76BKc6Bg KT6L4-03X-2[RB, X¥:72i:7<.h"RT6MOTU56JSL<3X-Y[gRcOTKTY5SOQY5Kc60@{ Y5RT6LgOQU56
∆
¦7:kKT0=:k25SB6 :725:7<Ah"RT0AR)jl6OQU5X"g ,bvw6L256o:?OQUDOTU56 SB<=:kRTRT0ASo:7<-:72i:7<.h@Rc03R)X7}@j:k5R)X7}50A2ZOT6B4-KT:kOQ6Lg
032POQ6L25RT0.O|h$0 {1 6BK}X-KTj6Bg }X-KMOQU56 5KTRcOOT03j6:SVUi:k25256B< |jl:7
∆ ¡¦k:7Kc0=:72[SB6:k2i:7<Ah"Rc03RB, {|2 OTU566B2[gª{1w:7R;:7f5<A6¥OQX~RcU5Xb0 OQUi:kOJ10AOQU OTU56
∆ ¡¦k:7Kc0=:725SL6j6LOQU[X@gX-2[6SBX-Y5<Ag :72i:7<.h@Rc6OTU56^<A03256 KT:kOQ0AX-R`X-2g50 6LKT6L2ZO<36L2547OQU" |RTSB:7<36LRB, {|2 : }Y5KcOTU56BKli:7KOX7}JOQU50AR
wX-KcN 0 {Dg56o:k<36BgC10AOTUOTU56RcOV:?OQ03ROQ0ASo:7<y:k2i:7<Ah"Rc03RX7}MOQU56KT6L<=:kOT0A¦-6~0A2POQ6B2[RT0AO|hX7}JOTU56
X-f5RT6LKc¦76Bg^jX-<A6BSBY[<=:7K<3032[6BRB, U503Rx:72i:k<Ah"RT6RcU5Xb1RM0A2 OTU56E:7KT6B:X7}'OTU56;RcOQ:7K ]}X-KTj03254
KT6B4703X-25R;Rc03j03<=:kK8KT6LRTY5<.OQR:kREw:7Ri:kKcOQ<.hRTU[X&12}X7K;OTU56SL6B2POQKT:7< KT6B4703X-25REX7}wX7OQU56LK
RTX-Y5KcSB6LRB, 82 OQU56~fi:kRT03RXk}xOTU503RUZY547Ug5:kOV:7Rc6LO"0 OQU50AR03R:k20Ajl X-KOV:72PODKT6BRcY5<AO}X7K
OQU56EOQU56LX-KT0A6¥X7} ROV:7K ¡}X-Kcj:kOT03X-2 ,5{ }Y5KcOTU56BKJRcOQY[g5036Lg^OQU56D¦7:kKT0=:?OQ03X72Xk} OQU56[UZh"Rc03So:k<
i:7KQ:kjl6OQ6BKcR 10AOTU5032~OQU[6;1U[X-<36SL<3X-Y5g[RB,
{|2D5Kc0325SL035<A60OQU56LKT6 03R)25X1g56L6L25g56B2[SB6wXk}[OQU[6 [UZh"Rc03So:k<Pi:7KQ:kjl6OQ6BKcR)fZhOTU56 <3X"So:kOT03X-2
10AOQU[032OQU[6¥WX-<36LSBY5<3:7Ky/1032545,
!<;IK:" " L 8#:=IKIO<m8)>
{|j 0A25256BKc6B2vw6LKT6B0ASVU`g56BK W0A<3SVU5ROQKT:7d-6 f 6 i2[g56LO Rc03SVU`L10ARTSVU56L2ltY52[g ?N" S19;:7<=:kNP
OQ03RcSVU56B2 /x:7g503Y[RE6L032 f5Kc6B0AOT6BK
X-KTY5RE:7Y[RDjX-<36LNZY5<=:7Kc6Bj 9E:kREY[j gi:7RD9;:7<=:7NPOT03RTSVU[6
6B2POQKcY5jU56BKcY5j 0"g[6BKwRcX-4-6L2i:7252POQ6 +$, % +,%$ + , ¨ O|w: 7s g56LK
e"OQ6LKT256L2ZOTRcOT6BUZY5254-RT:7NPOQ0.¦@0.OkO Y525RT6LKT6LK M6B0Aj:?OQ4P:7<3:?>@036 i2[g56LO 0A25256LKTUi:7<Af¥g50A6BRc6BR /1032@
4-6BR1RcOQ:kOTOB,
jg[036y5UPh"RT0ANk:k<303RcSVU56B2 ¨ 03476B25RcSVUi:k}$OQ6L2Y52[g0AU5KT6 :kKT0=:?OQ03X7256B20A25256LKTUi:7<Afg56BRWX?
<36BNZY5<3:7KT6L2^/1032[4-R1BY ROQY5g50A6BKc6B2 0 Ui:7f 6B2103KM:7j&
+ ' ( *)
++ +
:7Y5Rc4-6L 7U5<.OQ61vw6LKT6L03SVU56 g[6BR 9EW^/0A2
p? G 0
;G& V+wY525g
13 ;G& V+E6BKcRcOQjl:7<A0344-KcX-d-KkY5jl0A4N?:7KcOT036LKcOo, Y5KxI8:kOQ6L25KT6Lg5Y5NPOQ0AX-21Y[KTg56E032 g50A6BRT6LK
JKTf 6B0.Ox6B032[6¥:7Y@OQX-jl:kOQ0ART0A6BKcOT6E/xX-Y@OQ032[6E6L2PO|103SVN76L<AO"0 g50A6D6L03256¥e"OQ6LUPw6L<3<36L25KT6Lg5Y5NPOQ0AX-2
Y525g^6L03256DI8:kOT6B25Rc6B<A6BNPOQ0AX-2^f 6B0A25Ui:7<.OQ6LOB,iJY[}47KTY525gg56BRx¦-X-Kc<30A6B4-6L25g56B2^I8:kOT6B25RT:kOQL6BR
N7X-252POT6B2¢6L03250A4-6¥}Kc5U56BKc6 2POQ6LKTRcY5SVUZY5254-6L2¦-X-2 6L03<AKT6B4703X-256L2 032[256BKcUi:7<3fg[6BR;¦-X-K
OTY5KU5:7f603SVUg5036
∆ :7Kc0=:725 |M2i:7<Ah"Rc6Bj6LOQU[X@g56~¦76BKc6B2[g56LOB,M6Bf 6B2g56BKlN"<3:7RTRc0.
RcSVU56B2M2Pw6L25g5Y5254 :kY[} ;:7KOQ6B2032POQ6L4-KT0A6BKOQ6BK1{|2POQ6L25RT0.OkOMUi:7f 6¥0ASVU6LKTROQjl:7<30A46L03256
;:725:7<3N?:7KOQ6B2"
∆ :7Kc0=:72[ |M2i:7<.h@Rc6Jg5Y[KTSVU54-6}5U5KOo,e@SVU5<A036Bd7<303SVUN7X-252POT6D0ASVUL6B03476B2 0 g5:7d8j0AO M03<.}6g[6BK
∆ :kKT0=:k25 ¦7X-2`I8:kOT6B25NZY5f 6B2¦76BKTRcSVU5036Lg56B2[6BKwWX-<36LNZ5<3<A03250A6B2;g5036 Kc6B<3:kOQ0.¦-6B2{|2ZOT6B25Rc0AOkOQ6L2 :7Y[})Y52POQ6LKTRcSVU5036Lg5<30ASVU56B29K-d-6L25RTN?:7<A6B2lY52POQ6BKcRTY5SVUPO16BKTg[6B2
N-25256L2 , {|2^6B0A256Bj 6B0.OQ6LKT6B2 6L03<)g5036LRT6LKMMKTf 6B0AOxf 6L}:7RcRT6E03SVUjl0ASVUj0AO1g56LKMROV:kOT0.
ROQ0ARTSVU56L2J2i:k<Ah"RT6g56BKDKT6L<=:kOT0A¦-6L2 {|2POT6B25Rc0AO?OQ6B2 g56BKDY52POQ6LKTRTY[SVUZOT6B2WX7<36BNZ5<A<30A25036L2 ,
IM036BRc6M2i:7<.h@Rc6 B6B0A47O03j vw6BKc6B03SVUg56BKle"OT6BKc256B2POQROQ6LU"Y[254-RTKc6B4-0AX-256L2 7U525<A03SVU56
¨
K
476Bf5250ARTRc60 1036 f50ARTU56LK¦-6LKT6B0A25B6L<AOg5Y5KcSVU54-6}5U5KcOT6 2POQ6BKcRTY5SVUZY52[4-6B2 :k2L6B2POQKT:7<36L2
/16B4703X-256L2~:725g[6BKT6L28Y56B<A<36B2 ,"MY[}4-KcY525gg56LRy4-KTX7d-6B2I8:kOQ6L25RQ:?OQB6LR103RcOg50A6BRw6L032f 6
g[6BY[OT6B25g56LR
¨
KT476Bf5250AR}[Kg[036e"OT6BKT2[6B2POQROQ6BUZY52[4-RcOTU56BX-Kc036k, i6BKc256BK`Y52POQ6LKTRcY5SVU56 0ASVU
g[036 :7KT03:kOQ0AX-2g56LK5UPh"RT0AN?:7<30ARTSVU56L2 :kKQ:7j6LOT6BK 03252[6BKTU5:7<3fg56BK 4-6LRQ:7j¥OT6B2lf6LX-fi:7SVU@
OT6LOT6B2¢X-<AN76L2 ,
¨ R NkX-252POQ6L2 N76B0A25685Kc0325L0350A6B<A<36B2Jf[U 7254-0A4-N76L0AOT6B2g56LK 5UPh"RT0ANk:k<303RcSVU56B2
:7KQ:kjl6OQ6BK
¦7X-j 8KcOx0A25256BKcUi:7<Af~g56BRJWX-<A6BNZY5<=:kKT6B2/1032547Rw}6BROQ4-6LRcOQ6L<3<.Oyw6LKTg56L2 ,
GJ8)>=L Gw8 :=Bw:+GQL 8
{|2¥Y525RT6LKT6Lj 250A¦76BKTRcY5j f6 i25g56L2RT0ASVU2i:7SVUU56LY[OQ0A4-6Bj ©0ARTRc6B25ROV:725gSB:[,Z+bs
119;:?
<3:?>@036L2 ,[IM03686LKTRcOT605U[6BY[OT625X@SVU 5f[<303SVU[68;:kOV:k<3X-4-0ART0A6BKTY[254 0Z6BK}X-<347OT6Jg5Y[KTSVU
Ui:7Kc<36BR
W6BRTRc036LK\G7n[, Y5250`+!7p-s¢ +&G@,uJ[03KT<¥+b[+!-_ ,1IJ6BK^W6LRTRT0A6BK;:kOV:7<AX-4CY5j`}:7d7O +-+bs
8f c6LNPOQ67, x6Bf 6B2 M6Bf 6B<A2 0 10A6~7,qvJ, g56Bj ;Kc6Bf5Rc256Bf 6B<D\ W +&_0 6L03256Lj e@Y[6LKT25Xb¦k:
f6LKTKc6BRcO¥03j e"OT6BKc2"f[03<3g¢e"OT036BK 0)Y525gCe"OT6BKc25Ui:7Y[}6L2 0)10367,qvJ, W£PG 0)6B0A256Bj Y54-6L<.
ROQ6LKT25Ui:kY[}6B2ª03j e"OQ6LKT2Zf503<Ag M6BKcNZY5<36LR"0f 6B032[Ui:7<AOT6LOg[6BKEW6LRTRT0A6BKE;:kOV:k<3X-4~:kY5SVU t-s
9;:7<3:?>@036B2 "G¥e@[03KQ:k<34P:7<3:?>@036L2 0-t¥<A0325Rc6B2[}7KTj034-6 0P¥6B<A<30A[OQ0ARTSVU561Y525g6B032[6J03KcKT6L4-Y5<kKT6
9;:7<3:?>@036`\ W^PG-_ ,
Jf5f[03<3g[Y5254+-,A+ *IJ036 MY5f[f5<36¥e@6ZY56L25g56LK89;:?
<=:?>@0A6B2 \vwKcY5SB6`+b£7nPa-_, e" kOQ6LK NZ<3:7RTRc0iL036BKOQ6 ¨ g[1032
Xbw6L<3< MY[f5f5<36\G7s[,MXb¦-6Ljf 6BK
+o--£x 'Gk[,ze"6B[OT6Bjf 6BKy+b£-a7pP_ g[036
9;:7<3:?>@036B2ljlX7KT5U5X7<3X-4-0ARTSVU0A26B<
<A03[OT03RcSVU56x9E:k<=:?>@036L2 0Pe"503KT:7<34P:k<=:?
>@0A6B2 0 c6L6B03<AR j0AO
2POQ6LKTNZ<=:kRTRT0[
N?:kOT03X-2[6B2 0ZRTXb10A6J03KcKT6L4-Y5< kKT6x9;:?
<3:?>@036L2 \g[036 xY5f5f5<A6 e@6ZY56L250
Rc036LU56;Jf5f50A<3g5Y[254~+-,.+&_,
M:7SVU U56BY@OQ03476Bj ©03RTRc6B2 Rc0325g
e"503KT:7<34P:k<.>@036L2E0Aj 9;6L4-6B2[RQ:kOT BY
6L<3<A03[OT03RTSVU[6B2ª9;:7<=:?>@0A6B2 4P:kRTKT6L03SVU
Y[25g f[03<3g[6B2RcO725g50A4~256BY[6eZOQ6BKc2567,)IM0369KTY55 6g56LKE0AKTKc6B4-Y5<7KT6L2ª9E:k<=:?>@036L2 RT6OQO
Rc03SVU LY5RQ:kjlj6B2 :kY5R 6BKc4-4P:7<3:?>@036B2Y525gRTX-<ASVU56B2 0g5036g5Y5KcSVU {|2POQ6BKT:7NPOQ0AX-2 j0AO
:k25g56BKc6B29;:7<=:?>@0A6B2¦76BKc}X7KTj¥Oy1Y5Kcg56B2 ,i¤6LOQOQ6LKT6BR1N?:7252 6L03256LKTRT6L0AOTR1:7Y[}4-KcY525g~6B0A256BK
g[03KT6LNPOQ6B2¥MX-<A<30ART03X72L6B036LK 9;:7<3:?>@036B2EX"g56BK)g56Lj 47KQ:o¦"0AOV:?OQ0A¦76B2 ¨ 032 iY[d8:7Y[}[6B0A256 9;:?
<3:?>@036g5Y5KcSVU 6B032[62i:7U ¦-X-Kcf6L0 i0A6B4-6L25g56 M:7SVUZfi:7Kc4P:7<=:&>[0A6l476BRTSVU[6BU56L2 , W6L03RcOD103Kcg
f6L0RTX-<ASVU56B2{|2POQ6BKT:7NPOQ0AX-256B2NZY5KTLB6L0AOQ0A4`g5036Ee"OT6BKc256B2POQROQ6LU"Y[2544-6OQKT0A4-4-6LKcOo,
W -4-<A03SVU56LKc6B03Rc6lU5:725g56L<AOD6BR¥Rc03SVUg5:7U56BKEf 6B0 g56BK MY5f5f[<36 e@6ZY56L25Y5j ¦76BKcRTSVU50A6
g56B256 ¨ 2PO|103SVNZ<3Y52[4-RTROQY[}6L2¢¦-X-29E:k<=:?>@036L2 , {|SVU j "SVUPOQ6`U50A6BK c6Bg[X@SVU 2503SVUPOE2 7U56LK
gi:7KQ:kY[} 6B0A254-6LU56B2Y52[g^¦-6LKc6B03Rc6g56B2 ¤6LRT6BKJ:7Y[} g56L2 /x6¦"036L ¡JKOQ03Nk6B<)¦-X-2 ;6L25250
SBY[OcO\ +b£-£--_,
9LKQ:7Kcgg[6 :7Y5SBX7Y5<36LY5KTRD\]G7a@,qM5KT0A< +b£@+bD @,H8NZOTX-f 6BK;+b£-£Pa7_5f 6BKQ:kKTf 6B0AOT6LOT62i:7SVU
6B032[6Bj 9;:7<3:?>@036B2[RTY5K¦-6Lh:7j e"5g5U50Ajlj6B< g5036xY5f5f5<A6 e@6 "Y[6B25BY6B0A256BKg[KT6B0Ag50.
jl6L25RT0AX-2i:7<A6B2e@6ZY56L25\Mf5f503<Ag5Y5254+-,HG-_, J:kSVU g5036LRT6LKI8:7KcRcOT6B<3<AY5254 Nk:k252 jl:72
5KT0A25B0A5036L<3< c6Bg56MX7jf50325:kOQ0AX-26B0A256BKe"503KT:7<34P:k<=:?>@036j0AOX"g56LKX7U5256 6B0A256Bj v :7<.
N76B2 X"g56BKJ6B032[6Bjm/x0A254 i25g[6B2 , :kOQR 7SVU5<A03SVURT0A25gg50A6jl6L03ROQ6B2 /x0A254-6 c6Lg5X@SVUj0AO
6B032[6Bj vw:7<3Nk6B2ªX@g56LKjl0.OXb¦k:7<36L2ªe"OQKcY5NPOQY5Kc6B2:kRTRTX7B030A6BKOY52POQ6LKT<30A6B4-6L2ª:7<3RcX c6w6L03<AR
2503SVUPOV:&>[6L25Rch"jjl6OQKc03RTSVU[6BK e"O -KcY5254-6L2¥g56LR 9KQ:o¦"0AOQ:kOQ0AX-25RcX7OT6B2POQ03:7<3R \vwY@OV: X-j`
f6LRE+o£-£-nP_M,
¨
O|w:6B0A2~ 52@}$OQ6B< :7<3<A6BKe@50AKQ:7<A4P:7<3:?>@036B2`f 6B0A25Ui:7<.OQ6B26B032[6J4-6LRTSVU5<AX-RTRc6B256Kc032547} 7KTj0.
4-6e"OQKcY5NPOQY5K;0A25256BKcUi:7<Afg56BKEe@SVU[6B03f 606L0326B0AOT6BKc6BREIJKT0.OTOT6B< Ui:kf6L2 X 6B2[6`/x0A254-60
4-6L}X-Kcj¥O :7Y[R e@503KT:7<=:kKTj6B2 0?RTX-476B2i:72[2ZOT6B2 RT6BY[g5X-KT0A254-6L2 \vwY[OV:
X-jf 6BR1+b£-£7nP_,
IJKQ:7jl:kOT03RTSVU[6^e"B6B25:7KT0A6B2 0 10A6g[036 g503Kc6BNPOQ6xX-<3<A03RT0AX-2w6L036BK9;:7<=:?>@0A6B2 X"g56BK`6B0A2
2i:7U56LK X7KTf 6B0 5Y54 6L03256LK 7U525<A03SVURTSVUPw6LKT6L29E:7<3:?>@036 0 RT0A25g}[Kg[036vw03<Ag5Y5254 g56LK
jl6L03RcOT6B2 /1032[4-6X-U5<J:7Y5RcBY5RcSVU5<30A6Bd-6L2 , xX-<3<A03g50A6BKcOT6 X@g56LKNZ5KcB<30ASVU 4-6LRcO 7KcOQ69E:?
<=:?>@036L2 525g56B2¢RT03SVU¢032ªg56BK¥I8:7KTROQ6L<3<3Y[254¦7X-2g56
:7Y5SLX-Y5<36LY5KTR 0 10A6lRcSVU5X-2 0A2 g56LK
MY5f5f[<36Ee@6 "Y[6B25 0f 6B0g56L20AKTKc6B4-Y5< 7KT6L29E:k<=:?>@036L2 ,
¨ 0A2w6L0AOQ6LKT6LK"0PKT6L<=:kOT0A¦DRT6L<AOQ6L2`f6LX-fi:7SVUPOQ6OQ6LKw/103254kO|h@`0ARcO g56LK X-<=:kKT61/1032545, M0A6BKTf 6B0
Ui:725g56L<AOx6BRMRT0ASVU^Y5j 6B0A256B2^/x0A254 05g[6BKJRc03SVU2503SVUPOM032g56BK8e@SVU56B0Af6L256Bf 6B2[6f6 i25g56O
Y525gCRTX-4-:7KRT6L25NZKT6LSVUZOlU50A6BKTLYCRcOQ6LU56B2N?:7252 , IJ036 vw0A<3g5Y[254 6B0A256BRRcX-<3SVU[6B2/x0A254-6LR
<7d7O Rc03SVU :7j vw6L03RT[036B<g[6BK^W03<ASVU5RcOTKQ:7d-6 6LKTNZ<7Kc6B21{|j M:7<3XCg56LK W0A<3SVU5ROQKT:7d-60
6B032[6BK¥e@5U 7Kc60'g5036g5036W03<ASVU5RcOTKQ:7d76B25RcSVU56B0Af6ljl0.ODg[6B2e@50AKQ:7<3:7KTj6B2ªY5jRTSVU5<A036Ld7O 0
i25g56L2¢RT0ASVUª¦76BKcRTSVU50A6Bg56L256 :7U[KTRTSVU[6B032[<303SVU Ui:725g[6B<AO;6LRDRc03SVUªU5036LKTf 6B0 Y5j
g5Y5KTSVU4-KQ:o¦"0AOQ:kOQ0.¦-6L2 ¨ 0A2 iY5dg56BKJW0A<3SVU5ROQKQ:kd-6B6LKTKT0ARTRc6B256 w6LKT4-4P:k<=:?>@036L2 \ IJ0A256BR
SBY6LOJ:7<],*Gks-sPG-_ ,iIJ036LRT6¥e"OQKc6o:7jRyg56LK8W0A<3SVU5ROQKT:7d-6w6LKTg56L2 :7<AR1g5036 X-<=:kKT6B2/10325476
:7254-6LRT6BU[6B2 \ W^: c61RTNZ0'G7s-s-pP_ ,
*X7<347O1jl:72g56B2JY5R}5U5KTY[254-6B2¦-X-2vY[OV:
X-jf 6BR\+b£-£7nP_wY525gvY[OV:^\+b£-£7£P_0
gi:7252~Rc0325gg[0368j6B0ARcOQ6L2¦-X7KTN7X7jlj6B25g[6B2 /103254-6J:7Y[}4-KcY525g¦7X-2 /x6LRTX-25:725B6 6LNPOQ6B2
6B2POQROV:725g[6B2 ,e@0A68RT0A25g RTX-j0AOwg50362i:?OQ5Kc<303SVU[6MX-2[RT6ZY56L25E6B032[6BR1RcOT6LOQ0A4103KcN76B2[g56B2
IJKT6LU5jlX7jl6L2ZOTRJ:kY[}4-KTY[25g^g56LK
K 7RT6L25¥6L03256LRJKTXkOQ036LKT6L25g56B2^v :7<AN76B2[RMX"g56BKM:725g[6BKT6LK
2503SVUPOV:&>[6L25Rch"jjl6OQKc03RTSVU[6BK~eZO -KcY5254-6L2 g56BK9E:kRTf 6L6B4-Y52[4032g56BKe@SVU56L03f 67,wW^:72
i25g56O;g5KT6L0 ;<3:7RTRc6B2¦-X72 /16BRcX-2i:72[BKT0A254-6L2 MY[N"<A6o:7Kc6`/x0A254-6 0 {|25256LKT6/103254-6¥Y525g
Y5d-6LKT6E/103254-6k,ivwY[OQ:^\ +b£-£-£-_w4-03f[Ow}X-<34-6L25g56
:7KQ:7j6LOT6BKy}5K1g50A6BRT6E/10325476;:72 MY"
N"<A6o:7Kc6/103254-6J<3036L4-6B2~0A25256LKTUi:7<Afg56LRMvw:7<3Nk6B2 05U5:7f6L2 6B032[6B2~O|h"503RcSVU56B2^/M:7g[03Y5Rw¦7X-2
s[,7a^N" Sª\0Aj vw6BKc6B03SVU ¦7X-2s@,zG& G@,HaNZSo_, {|252[6BKT6/10325476Y5j`}:7RTRc6B2Cg56L2vw:7<3Nk6B2
+op
Mf5f50A<3g5Y52[4+-,HG IJ0A6 ¨ Kc6B0.OQ6LKTY5254¢g56BK MY5f5f[<36^e@6ZY56L25^¦-X72©9LKQ:7Kcgg56 :7Y@
SLX-Y5<A6BY5KcR\g56
:7Y5SLX-Y5<36LY5KTRC+b£-a7£P_0Jg50368KT0A4-0325:7<3f50A<3g5Y[2ZOT6BKcRTSVU5Kc0A}$O<=:7Y[OT6LO )
! /+ % , ! + % *!
. +, ) - %( % + ++ +(& +, +
& + ! + ". *% ! + & +, %
! + % !- * % )%/ ! & %
! % # ! . % %/ % + #! %/
% / % ' " & & ! & "
, * % # / $# % +, + ! +#!
,% & ! . + ) % + +
++' % + +, % ! % .
% , '# / (' ! % % +
! % + + -! % -+, %
" $) % % *+ + ) ++ )
"+,'" % +, + %/ ,".
RT032[g5f5<A03SVU56LKc6B03Rc6J6L0326B250A4¥¦-6LKT<7254-6LKcO 0A2/103SVUPOQY[254g56LKyv :7<AN76B2\Ui:7Y[[O _:7SVU5RT6k,
Y5d-6LKT6y/1032[4-6U5:7f6L2g56B2¥g5X-5 6B<.OQ6B2`/x:7g50AY5R g56BK 0A25256LKT6B2/x0A254-6wY[25gRT0A25gU kY i4
4-6BKT:7g56;RT6L25NZKT6BSVUPOJBY5Kxv :7<AN76L2i:7SVU5Rc6E¦76BKT<7254-6LKcOB,
M6Bf 6B2 g50A6BRc6B2X-[OT03RcSVU56B2 RT0ASVUPOQfi:7Kc6B2ª/103254-6L2 i25g56Ojl:72f6L0 g56L2 f6L03g56L2 7Y5d-6
KT6B2`/1032[47O|h"6L2U 7Y 54:7RTRcX-B0A036LKcOQ6jlX7<36BNZY5<3:7KT6 Y525g`:?OQX-jl:7KT6/103254-6RTXb1036g50A¦76BKcRT6
M032P6B0ART6E:7Y[}':7NPOQ0.¦-6De"OT6BKT2[6B2POQROQ6BUZY52[4 v<=:7Y56Y[25g gi:7U56LK cY[254-6jl:7RTRc0A¦-6De"OT6BKc256
RTXb1036;xX-25B6L2POQKQ:?OQ03X7256B2 ¦-X-2
/16B4703X-256L2 ,iIJ0A6BR1RTY[4-4-6BKc036LKcO 0[gi:7dRT0ASVULY52 7SVU[RcO
9E:7RcKT0A254-6wf[03<3g[6B2 0?032g[6B256L2g[036yW:kOQ6LKT0=:k<3g50ASVUZOT6B20Aj
6BKT47<36B0ASVUBY[K KT6BROQ<A03SVU56L29E:?
<=:?>@036MU5X"SVURc0325g~Y52[g0A2~g56B256L2Rc03SVU gi:7U[6BKy¦-6LKTRcO7KTNPOJe"OT6BKT2[6Ef[03<3g[6B2~N 725256B2 ,*/x6
RTX-2i:k25B6L2 RT0A25g RTX7jl0.O8W:kOQ6LKT036LRT6L25N76L2ª0A2g[6BK9;:7Rcg[h"2i:7j03N~g56LK9;:7<=:?>@0A6B6B2 , W^:72
i25g56O:kY5SVU eZOQ6BKc25KT0A254-6~X-U[256~6B0A256B2:7RTRcX-B0A036LKcOQ6L29E:7RcKT0A254
U[036BKD1Y5KTg56f 6BKT6L0AOTR
g56BK4-6BRT:7j¥OQ689E:kRc¦-X7KTKQ:?OwLY5Kye"OT6BKc2"f[03<3g[Y5254D¦76BKcf5KQ:7Y[SVUZOB,iIJ0A6e"OT6BKT2[6B25ROQ6BUZY52[4-RQ:7N-
OQ0A¦"0.OkOw03RcO10Ajr0A25256BKc6B2/x0A254032 g56LKx/x6L4-6B<U 7U56BKx:7<ARy03j kY5d-6BKc6B2/x0A2545,
MY5NZ<36B:7KT6D/103254-6EUi:7f 6B26B0A256D2[X@SVU U -U56BKc6e"OT6BKc256B2POQROQ6LU"Y[254-RQ:kNZOT0A¦"0AOkOY52[g RT0A25g
g5036¥/x6L4-03X-2[6B2 0032 g56L256B2 RcX-4-6B25:7252POQ6
"
9;:7<=:?>@0A6B2^0AU5KT6D5f 6BKTj 7d-0A4-6EJN-
OQ0A¦"0.OkO1L6B03476B2 , " 9E:7<3:?>@036L2Rc0325g RcX-<3SVU[6¥j0AOx6B0A256BKx4-6B476B2Z5f 6BK8g56LKW0A<3SVU@
RcOQKT:7d-61g56LY[OQ<A03SVU6LKTU 7UZOT6B2e"OQ6LKT256L2ZOTRcOT6BUZY5254-RcKQ:kOT67,iIJ:7RLYg56L22ZY5NZ<36B:7KT6L2/103254-6L2
:7RTRcX-B0A036BKOQ69;:7R'j¥Y5dJ250ASVUPO 25XkO|w6L25g503476BKc6B0ART6 Kc03254k}-KTj034w¦7X-KT<A036L4-6B2 0&RcX-25g56LKT2f50A<.
g56LOxU 7Yi4`6B032[6E2ZY5NZ<A6o:7Kc6¥e"SVU56B0Af6k,i{|2g56L2f 6B0Ag56B2 7Y[d-6BKc6B2/x0A2547O|h"6L2 KT6B0ASVUPOM0A2
g56BKw/x6L4-6B<*g50A6MNZKT0.OQ0ARTSVU56JIJ03SVUPOQ6Jg56BR W^:kOQ6LKT03:7<3R 250ASVUZOwBY5KJY5Rcf503<Ag5Y5254D6B0A256BR )
"
:7Y5RL,
/x6LRTX-2i:k25B6L2~f503<Ag56B2RT0ASVU~:72g56 i250A6BKcOT6B24-:7<=:7NPOT03RTSVU[6B2/x:7g50A6B2:7Y[}4-KcY525gg56LRwRc03SVU
jl0.Owg56LK ©0325Nk6B<A4-6BRcSVUZ10A25g50A4-N76L0AO
ΩBalken
KTX7OT036LKT6B2[g56B2 v :k<3N76L25RyY525g~g[6BKyg50 6LKT6B2"
OQ036L<3<A6B2/xXkOV:kOT03X-2
Ω\ /M_g56BRl5f5KT0A4-6B2 W^:kOT6BKT03:7<3R0A25256LKTUi:7<Afg[6BK~e"SVU56B0Af6L256Bf 6B256k, W0AOg56LKKT:7g50=:k<36B2©6L503h@NZ<A03RTSVU[6B2 iKT6 ZY56B25
κ0xg[6BK j<=:7YKT6 ZY56B25ªg56LK e"OT6BK 256~:7Y[}x6L03256LK ¨ <3<30A5RT6lY5j gi:7R` 5U[KTY52547RTB6L2POQKTY[j 0 f[03<3g[6B2Rc03SVU/x6LRTX-25:725B6L2Cf6L0
Ω = ΩBalken± mκ
}5K
m ∈N, xY5NZ<36B:7KT6D/x0A254-6;f50A<3g56L2Rc03SVUL103RcSVU56B2^L6B0 0325256 KT6B2¤0325g[f5<=:7g/16BRcX-2i:725L6B2jl0.O
Ω = ΩBalken+κ20i03252[6BKT6E/10325476f6L0g56BK1032[256BKc6B2 t A+EY5<.OQKQ:kUi:7KTjX-250ARTSVU56L2/x6LRTX-2i:k25Dj0AO
Ω = ΩBalken+ κ40*Y52[g 7Y[d-6BKc6¥/10325476f6L0 g56BK 7Y5d-6LKT6L2¤0325g[f5<=:7gª/16BRcX-2i:725j0AO
Ω = ΩBalken − κ2
\ vwY[OQ:ª+o£-£-£P_ , e@SVU5<30A6Bdk
<303SVU¢03RcOBYCf6Ljl6LKTNk6B2 0 gi:kdg5036
K 7RT6L25 6B032[6BK`/16BRTX72i:725~25XkO|w6L25034ª:7f 6BK2[03SVUPO
U50325Kc6B0ASVU56B25gBY[KM/1032[4-f503<Ag5Y5254¥BYRT6B0A2 RTSVU56L032POo,
J<3<A61g5KT6L0 /103254kO|h@ 6B2N -252[6B2~N7X"6>@0ARcOQ0A6BKc6B2 0"Ui:7f 6B2 c6Lg5X"SVU¦-6LKTRTSVU[036Bg[6B256E¤6Bf 6B25R
gi:7Y56LKT2 ,'vwY[OQ:
X-jf 6BR\+b£7£-nP_4-6Bf 6B2¢}X7<34-6L25g56 6B0AOTRTN?:7<A6B2 }5KDg[036
¨
>@0ARcOQ6L25
g56BK/1032[4-6:k2 IJ6LK 7Y5d76BKT6/x0A254^f 6B2 kOQ034kOBY[Kvw03<Ag5Y52546B0A256B2ROV:7KcN76L2vw:7<3Nk6B2
Y525gjl0A25g56BROQ6L25R
3·109 :7U5KT6k,"8U5256 7Y5d-6LKT61RcO-KT6L25g56 ¨ 032P103KcN"Y[254DN?:72[26LK 5f6LK 6B032[6 MY[f5f5<36 6B0.O\ +!
±p ·109 :7U5Kc6 vwKQ:72[SVU \+b£-£7P_T_6>@03ROQ0A6BKT6L2 , ¨
0A2 2ZY5NZ<36o:&
KT6BKJ/x0A254f503<Ag56LOMRT0ASVU^O|h"503RcSVU56BKw6L03RT60A2
108 :7U5Kc6B2 Y52[gRT6B0A256¤6Lf6L25RTL6B0AOJN?:7252 6Bf 6B25RcXN"Y[KT8Rc6B0320[gi:¥LY5j6B032[6B2~g50A6JU5X-U[6e"OT6BKT2[6B2POQROQ6BUZY52[4-RQ:7NPOT0A¦"0AOkO1g56B29;:7R
+ba
{|2[RcOV:kf503<A0AO?OQ6B2~X"g56LKyg[h"2i:7j03RTSVU[6D/16B0Af5Y5254`L6BKTRO -KOo,
EHL$@ :BJ:%NKGwI )L P=BQL <)Bw:@ L
GJ8)>
!" #$&%(')$&*+-,/.1032-456%
798:8:;=<?>:@:A-BDCFEG3HJI/;?KMLN;=<?OQP:RSTVUXWFKY;?A[Z\^]_I`UXaMKYKbScUX<dEfeXgFg3CihjEklamF8nKbTVKbA[opKq;=<sr
8-;?<?>t;=R"Su>:;=Kv;?A1SKbBFTV;=KqTSKZ\waM;?RVR";?mFAt;=AyxzUX<?UX{1S;=RVOQP:KbTY|J}XA:BFK~BFKbBFKqAxzU<UX{1S;r
R"OQP:KqT/TVKb;=SVKcU@- BFKbSVTUXBXKqA>:;=K7/@-XRV@:A:B;?RSaKb;?R"SVKqA:R
0"Kq>:mOQP:8KqTVUX<?<9GXg
0E
kla@:A1SKbTVKqAopKq;?<=8:;?<=>;=R"SKb;?A:KpmFRV;sS;?mXA:Rr&xKbRVOQP1;?A:>-;?BF{Kq;=SVRrlI`UXTVRSKb<?<?@-A:B~]_1-h>:KbT
L;?<?OQP-R"STVUXWFKbA:RVOQP:Kb;?8KBFKqbKq;?BSHI/;=K:8nKbTvKq;=A:KqA
◦ 8:TVKb;=SVKqA¡ ST"Kq;= KbA;?A¢xzU<UX{Fr SV;?R"OQP:KqTMT"Kq;=SVKv;?A1SKbBFTV;=KqTSK~wa;=RVR";?mFAt;=R"SuaM;=S£Kb;?A:KbTxKbRVOQP1;?A:>-;?BF{Kq;=SVRUX@3FRV@-A:B
XmFAe{¤a¥R!BFKbBFKqAv>:;=K¦xUX<U{¤SV;?R"OQP:K`|J}XA:BXK/aM;=S6Kq;?A-KqT!TV}X@:aM<?;?OQP-KqA79@-FR"@:A:B£XmFA
C§e 0UX@3 BFKbSVTUXBFKbAEI/;?K;?AMBFTVUX@>UTVBFKbR"SKb<?<sSKklA1SKqT":TVKjSQUSV;?mFA>:KqR61¤rlI/;UBFTUXaMaMR;?R"S
;=A~7/8:8:;=<?>:@-A:BvCFE©¨uA-m3OQPKq;=A:aU<ªFKbTVBFT"FWFKqTSq@RVKqP-KqAE
«
A:RVKbTVK¬9Kq;=aUSB1UX<?U®3;?Kn>:;=KLN;?<=OQP:R"SVTUXWFKf8nKbR"SVKqP1S£U@:RcKb;?A:KbTc 3OQP:Kq;=8nKUX@:R¯ SVKqTr
A-KqAF SQUX@-8Y@:A:>uxUXRqEI/KbT°9U>:;?@:R±>:KqT 3OQP:Kq;=8nK8nKjST}BXS;=A£KbSlUeF²{¤OX>:;?KI/;?OQ{K
>-KqT³ 3OQP:Kb;?8K!UXTV;=;?KqTS U8:P}XA:BX;?B/XmFa´8KqmF8:UXOQP1SKbSVKqALUSVKqTV;?UX< Eikla´USmFaUXT"KqA¯µ¶UXRr
R"KqT"R"Sm·8nKjST}BXS>:;?KzI/;=OQ{XK]d¬9UX<?816KqTSRV8-TVKq;sSKh9eFegXnO:;?aamX<?Kq{¤@:<?UXTVKbALUSVKqTV;?UX<
C§eXgXO]dZmFa£8KqR¸C§X-CihjEkla qKbA1STU<?KqA¹KqT"Kq;?OQP¹XmFA¹OqU-Ee{¤ONºA->:KbSvR";?OQP¹Kb;?A:K
»
KbTV>:;=OQ{¤@:A:B¶]_>:KbTz8-@:<?BFKhY]d;=A:A:Kj¼DKbSzUX<dE C§FF½FhjEªI/;?K 3OQP:Kb;?8Ku;?R"S@-aBFKb8nKbADFmFa
{¤@:BXKq<= XTVaM;?BFKbAxUX<?UX{1S;?R"OQP:KqAy¬/U<?m:>:KbTKb;?A:KbA¹°UX>:;=@:RMXmFA
≤ G1²{O¶]d¾;=OQP¿
Kc6Bjl:703256;+b£7£[+&_ Ui:kOB,"{|2lg5036LRT6Lj J:7<AX i2[g56B2Rc03SVU;Y[4-6B<ARcOQ6LKT25U5:7Y[}6B2Y525gNZ<A6B032[6
WX-<36LNZ5<AX-<3Nk6B2[}6OQL6B2 ,
25RT6LKT6le@X-252[6f 6 525g56LO;Rc03SVUª03252[6BKTU5:7<3f g[6BKDe@SVU56L03f 6f6L0
6B032[6Bj§Jf5ROV:72[g ¦7X-2 [,qs
±0.5NZSM¦-X-jr9E:k<=:7NPOQ0ARTSVU56L2 6B2POTKTY5j \ /16B03g^+b£-£-pP_ Y525g
∼+Bt ±t7SxX-f 6BKTU5:7<3flg56BKw9E:k<=:7NPOQ0ARTSVU56L2 ¨ f 6B256\ vw0A25256Lh`6Oy:7< ,i+b£-£7_,ZIJ0A6 ¨ 2POT}6LK
2"Y[254-RQ:k254P:7f 6¦-X-2 /16B03g\ +b£-£-p-_x6BKc4P:7f RT0ASVU g5Y5KTSVUª6B0A256W0.OTOQ6L<3Y52[4g56BKf[03Rgi:kOTX
:7Y[}4-KcY525g~Y52POQ6LKTRcSVU5036Lg5<30ASVU56BK1032[g503Kc6BNPOQ6LK1W6LOTU5X"g56B26BKcjl0.OTOQ6L<AOT6B2 6BKOQ6 g50366LKTRcOT6
g503Kc6BNPOQ6yMf5RcOQ:725g5Rcf6LRcOQ0Ajlj¥Y5254;4-6B<3:7254 ¨ 03Rc6B25U5:7Y56BK 6O :7<],5\]G7s-s7pP_0kg5036y6L03256L2 6BKO
¦-X-2 @,q£7t
±s[,utZGkNZS :k254P:7f 6B2 ,b9;0A254 jl:72}KT5U56LK ¦-X-2E6B0A256Bj /M:kg503Y5Rg[6BK e@X-2[256 ¦-X-2 +bs7NZS;:kY5R"0iRcXlf 6B2ZY[OTLOMj:72~U[6BY[OTBY[OQ:74-6E5f5<30ASVU56BKw6L03Rc6Eg[6B2/M:7g[03Y5R ¦7X-2^@,zakNZ S
\ 6BKcK ¤ h@2[g56B2@ |vw6B<A<+b£--n-_, IJ0A69;6LRQ:7j¥OTj:kRTRT6~g[6BKW03<ASVU5RcOTKQ:7d-6L25RTSVU[6B03f 6 03RO
t ·1011 W \ 03SVU KT6Lj:k03256+b£7£[+&_0 g5036W^:kRTRT6jX-<36LN"Y[<=:7Kc6B29;:7RT6LRf 6LOTK74kO G& p
·109 W \ X-j¥f6LR8+b£-£[+b_ Y52[g~03RcOwgi:7j0AO ¦-6LKT4-<A6B03SVUZfi:kKwBY[K1W^:7RcRT6g56LR1:kOQX-jl:?
KT6B29E:kRT6BR 0@g[036JG@,za
·109 W f6OQKk47O\J:7N?:72[03RTU[0 e@X7}Y568G7s-s-pP_ }5K g503614-6LRQ:7j¥OT6 W03<ASVU5RcOTKQ:7d-6 0-Y52POQ6LKM032[BY52i:kU5jl6yg[6BRJ:7<AX-R"0-476Bf 6B2e[:7N?:7jX7OQX6Ow:k<],i\ G7s-s-p-_ 6B032[6
f 6BKc4-KT6L25B6E¦-X-2
∼G ·+bs 12W
:72 ,IJ036e@SVU56B0Af6D03ROM}6LKT256LK82503SVUPOJg5Y5KTSVUP6B4 *:7SVU0
RTX-25g[6BKT24-6 -<Af[O¥\ vw0A25256h +b£-£-G-_,
JY[}4-KcY525g Y[25RT6LKT6BK ¤ :k4-6¢N-25256L2 103Kg5036ª03252[6BKT6e@SVU56L03f 6B25ROQKTY[NZOTY5K250ASVUZO^g50.
KT6BNPODf6LX-fi:7SVUPOT6B2 0'RTX-25g[6BKT2¢j5RTRc6B2C:7Y@}y:725g[6BKT6Lj ¢6L4-6:7Y@}yRT0A6lRcSVU5<30A6Bd-6L2 ,'e@6B0.O
g56BK
¨
2ZOTg56BSVNZY52[4g[6BKJ9E:7<3:7NPOQ0ARTSVU56L2 /x:7g503X7RcOQKT:7U5<AY5254`g5Y5KcSVU;:7KT<'9Y[OQU56
:725RcNPh
\]G-G@,H8NPOQX-f 6BK+o£-sPa `+Bt5,Hi6Lf5KTYi:kK+b£PaksP_E0Aj :7U[K+b£-p-p 0'g50A66B2POT4-6B4-6L2Cg56BKX-@OQ0.
RTSVU56L2 6B<A<36L25<72[4-6B22[03SVUPOg5Y5KcSVUCg56B2e"OQ:7Y5f 0A2 g56BK`e"SVU56B0Af6~:kf5RTX-Kcf5036LKcO10AKTg 0
:7K16LRxj -4-<A03SVU 0"g50A6EW03<ASVU5RcOTKQ:7d-6L25RTSVU[6B03f 6EBY6BKc}X7KTRTSVU[6B2 ,
IJ036
¨
2POQg56LSVN"Y[254`g56BKw9E:k<=:7NPOQ0ARTSVU56L2G"+oSBj 1h@ 6BK}6B0A25RcOTKTY5NPOQY[KT<30A250361g56LR :kOTX-jl:7KT6L2
:7RcRT6LKTRcOTX RE0Ajm0A2POQ6BKcRcOT6B<3<3:7KT6L2 W^:kOT6BKc0=:7<'6BKTj -4-<A03SVUPOQ6D6BRRcSVU5<30A6Bd-<A03SVU 0g5036`e"SVU56B0
f6L25NZ03256Lj:kOT03N LY Y52POQ6LKTRTY[SVU56B2\]8X-KO+o£Pa-G-_ ,'IM036 6LKcOT6B03<AY5254g56BR¥jlX-<A6BNZY5<3:7KT6L2
W^:kOQ6LKT03:7<3R81Y5Kcg56g[Y5KTSVUW6BRcRTY5254g[6BK
+ s ¤03250A6g[6BREL6B0AOTU 7Y 54-RcOT6B20A2ZOT6BK
RcOQ6L<3<3:7KT6L2~WX-<A6BNZ5<AR"0
-0@4-6Ljl6LRTRc6B2ª\ IJ:7jl6M6LO :7<], \ G7s-s[+&_
RT036LU56JMf5f50A<3g5Y52[4+-,qpP_,
e@X103RcRT6B2~10AKwU56LY[OQ6 05gi:7dg50A6;W0A<3SVU5ROQKQ:kd-6J6L03256;e"503KT:7<34P:k<=:?>@03610ARcOo,@IJ0A6;e@50AKQ:7<3:7K
jl6RT0A25g032 g56BKe@SVU56L03f 62503SVUPO¥Rch"jlj6LOTKT0ARTSVU :72[4-6BX-Kcg5256O 0 g ,qU ,'250ASVUPOBY c6Lg56Bj
e@503KT:7<=:kKTj§4-03f@O 6BRy6L032
6L25gi:72POxf 6B0 +b7s
◦ IJKT6LUZY5254g56BKxe@SVU[6B03f 67,5*6LKT256LKyUi:kO1Y52"
RT6BKc69E:k<=:?>@036E6B0A256B2 vw:7<3Nk6B2\ 6LOT6BKTR`+b£-a-_xY[25gjl6LU5KT6LKT6Kc03254P:kKcOQ0A4-6De"OQKcY5NPOQY5Kc6B2
\
X-jf 6BR+o£-£[+&_ , IJ0A6<=:7RcRT0iN?:kOQ0AX-2^2i:kSVU g56
:kY5SBX-Y[<36BY[K803RORTX-j0AOe@8v8\KTRQ_f S
\ v :7Kcf5Y[hª\ G7s-sPG7_
¦"4-< ,5Jf[f503<Ag5Y5254 +-,HG-_,
³ ! !+:,/%f$c% /4 $
vw6B0 6B0A256BKw/x6L<=:kOT0A¦"f6w6L4-Y5254
v L103RcSVU56B2 8Y56L<3<36xY525gvw6BX-f5:7SVUPOQ6LK ¦-6BK 725g56LKcOyRc03SVU g5036 6B<A<36L25<72[4-6
λ 6B032[6BK f 6BX-fi:kSVUZOT6B2e@ 6BNPOQKT:7<3<A03250A64-6L4-6B2Z5f 6BK g56LK ¤):7fX7Kc6B<3<A6B2@
+
Sonne Gal. Zentrum
Mf5f50A<3g5Y52[4D+-,ut ?e@SVU[6Bjl:kOQ0ARTSVU56I8:7KcRcOQ6L<3<AY5254xg56BK
vlsr
96BRcSVUZ10A25g50A4-N76L0AOQ6L2 ,k9;6LB6L0347O
0ARcO;g50A6W03<ASVU5RcOTKQ:7d76B25RcSVU56B0Af6jl0.Og56Lj 9E:k<=:7NPOQ0ARTSVU56L2 6B2POQKcY5jY525gªg56BKDe@X7252567,
IM036
:k254-6B2POT0=:7<A4-6BRcSVUZ10A25g50A4-N76L0AOQ6L2Cg56BK
j<=:kY[}fi:7U52 g[6BKf6LX-fi:7SVUPOQ6OQ6L2 8Y56B<A<36
Y[25g~g56BKxe"X-25256L2"Y[jl<3:7Y[}fi:7U[26BKc4-6Bf 6B2 5KcX c6BL036BKO1:7Y[} g50A6e@0ASVUPOQ<30A25036xg50A6/x6L<=:kOT0A¦P
476BRTSVUP10A25g50347N76B0.O
vlsr
g56BK 8Y56L<3<A6JBY[jrvw6LX-fi:7SVUPOT6BKB,*IM0368<A0325Nk6e@0ASVUZOT<30A25036xB6L0347Oy6L0.
2[6 8Y56L<3<36;:kj
:k254-6B2POT6B255Y[25NPO03U5Kc6BK
j<=:kY[}fi:7U52 ,iIJ036;Kc6BSVUPOQ6e@03SVUPOQ<A03250A68B6L0347O
g[036
¨
2POT}6LKT2ZY5254-R IJX756L<3g56LY[OQ0A4-N76L0AO g56LK
vlsr
96BRcSVUZ10A25g50A4-N76L0AOQ6L2
g56LK9E:k<=:7NPOQ0
RcSVU56D/M:7g[03Y5Ryg50A6BRc6BK 8Y56B<A<36L2¢\Jf5ROV:72[gLY5j 9;:7<=:7NPOT03RTSVU[6B2 6B2POQKcY5j_03RO c6Bg5X"SVU
g[Y5KTSVUg56B2^9;6LRTSVUP1032[g5034-Nk6B0.OQRc¦76BNPOQX7KM6L0325g56LY[OQ0A4`4-6B4-6Lf6L2 ,