!"$#
&%(')*+,-..0/1/324$#656798:;</
2=?>@7A-;$
BDcAE$CFEdbefGIHKg!HKJLJMhHKN i[iVefH
-O PFQFRSSj RTkQV^+UXW3W3Y[Y[ZKZK\]\]YY^^_`_`\\ QaQaObOb__
lnmpoaqrqSs[qft`uvqTwDxFyFz|{)}~lnm){)Fm){T[u}
F{)S{*{)ssqSIFT{)}|
zrFz|z
|FyF}
SobVTalK
ITFF
¡£D{0¤
wDxF{z
f{
az
I
yKxV¥[qS{)xF}
yF¦s¢fz
}|oF}|z{)A{§tLqTw}I)T¨"{)qSa}3{)}p|oFs.qT}|m0z
sm)yaqS
wz
{0}
FFTV©
Vz{)}
|mqffts{)m):syFxV|z
qK{)qS}|}
s£ m)qSoVw+xFyFz
q¦z"fVz|{qSV|yFfsxFsxFTvs{)z
«¬oa{ªKKyFz
w oa{ ¤
yFw
{)F}¯
°¬fa{«®xFz|}|oFqT{xqT
{
{D}
m"qSosyaz
qTxFF}|IqTFtLqS{}+z|z
q¬oa{sqr±Vmf}|
sz+wz²v q ¤
xFµ }
yFqSFs«Fs{)Fw+qSTfFxF«}|IqT}vxV²`}
qSz|³}
¶
sFtL}
qS{0}~w{)s«FS´qT}|tLqSz|oF}$wz
oF{mz|foFm)m0}
{)«bs ¤ ¯
{)²`}p{vz
rqTz|:}
qKz
«FoVyFm0z+{aF{)qT²®zVsS
qT{)}|«¬z|oFqS·wºz
xFoxFf}
zqf{"¸K»w¹m){)z
Kz
qTs-K
r{yaw}
m"VoF{){)}I:qfz
t`oFm0{¬sya|
xVz
f{0}
m0+{¬z|qfqt3qTm)xasyFz
|wz
{)}:¼){sqKz
oamf{ z|µqSFT¹{)|¢Ff«
½½ KKtLtLqTqT}|}|w¹w¹z
z
qTqTªuvuv}|}
z|z|{){)}
}
qSqTÁ¿¾Â¾ µv½½ uuÀ
ÀwDqS}{fz
|oFyF{¬}
{TI¯¶TÃfoa¶T{{
aaFqfmTfmpz|oa{)qS«F$
yKF»m)sm0yF{0«ar{Äzz|²vzpfq
z|F
{)z
²m)v²~fFK«vqft.F{0{0¸r²®xaSsqS{)}
z ¤
{"s{0»m)z
m){)z|KoFz{z
wD{)|qTz+
zXz
oVxF}
zqSw¦
qTFF{
£Dya¤Fw
{){zqFtbm)|s¢²`f|{)
{0{)x¬vtL
qS{ ¤}
}
z
{"m±Vfass{)DwtL{)qTKyazF¯«FÃ{)«§oF+sTSqTT}|{)z
+oFw!}|
{z|oVz
fq:zIDqTyFtÅz|fxF|zyF-z
´
z"VfqSz
z
o ¤
z
Ç oF¸K{xVK{)}|yFww{)K{)}z
q|t~oFm0qfs³²º
|z
{)oaÆz|F{)«:m"oFz
FoF{)ÈKyF}{+xV}|{)}pTf{wDs{)z
{0z
}
oa{ ¯
z
z
}
}
yaF{+yaKz
yFqTwbFV{0F}`«qt.z|oVm)s¢ffz|
zv{)I`wz
yFoam"{+oAyFtÅFf|«Fz
{0{)}
}sKz|oVaf3D«F}
{ ¤¤
tLxV{){}
{0z
r{)zI«aTs:fsyFyF|{)vaqft £ m)m)¯ {)s{)}"fz|{)« £D¤ wD{fatMqT}«FÉt ¤
ÊXËÄÌSÍ FFÎÏIÐ FÑ
Î Í
a£¹{){)¤
{)wD{sz
f{)oaFD{§I¾²v&¡ qTyF}|z|¶r«Voa+qT
Ò}
w|{ÓxFsftLqS}|m)z}zKw$ÔT{0fÕSz
FF}
«© mµ «V|oFzpqTFz
xb¯ sqK½ z
ÔSmÔTSs f¤ Àwz|z
oV}pfFvm)w+z
sqTyaSFw{ ¤
m0|oFqTKqT}|Tz
{)m)}|qSTw{)am)F{SxF¯}|qTÖIxF{){T}
-z|{0z¯ ½
z3sqfoV²?XFoF«:qf²`
m{0Ts{){0}+`xVz|qKoFqS}
}
{0s{¹w²fz
o
}|z|{)qT
bx{)¯Dm)z¦Ã²`z
q¬qbz
oaz|oF{§{z|KwDyFw{z{)}+zpqf¶Tt{)m)DsyFz
|q4z
{)m)}|qT wD£ xFs{)oVz
f{+{z|qmpo&{z|
{)ya}px ¤¤
±xaz|oVs¸rf{0{)¬«3«DT²Koasya{)z
ª{`oF{qtz+yF£ |m{)}ª¯XzbÃ{)«FwDKoFV}
xF{){S}
wFm²fmsoFss{)sD±Fm)fqT«Fsz
n{)±V}²`FqS£ {)}
«|¯{z|q3°¬sqK}|m{yFsKq¥×qT²xF{)}
z|z|o¹w
q ¤
sKyFz|{)qTwFv{)tLqS«F}«az
aoFÄ{0
z|{
oF{xF}
«VqSfFz"sf{)|w{)z`¯`lKx´{)w{)«yFsz
}
S{0}
{qTsyFz
sz|qT3wDØFxFÙ }
¤ qfz
S}|{){)«{
FV«fsK
z|
qT
}
qfFt
z
oFyn{»m0m){){)KKz
z}
qS
z"«®fz|sqK|mz
m)z
qTFzz|ssFqfqK²«F*{)tLqT¯$}ºS{)mqTwD}
{"tL{)yaz ¤s
}|s¶Tm¬{
Ú
fxFs}|sbqrqqtÝtL
Û:¾ ¡ f{0FqTyFz+Òz|oF{qKÜXqT}|qT{T}
$qSFqTÔSXÔTaV©×qSÞyFoF«VfF}
{){)z+$fsF¯b«¾¢ÔTyaÔS F¤ ©
KqrrqS²}
oa{T
{)}
{+ÔSÔTÔSz
À
oaÀ
{+z
oam){)qT}
wD{:xFyF¹z"ffz
a
qSqTbsyF¯$z|I{)sF«Fq®«Fz
xFqSxFV}
fqfs[¸KSw¹{)qTwDz
{)qTz ¤
}|z|oFmqT|m){+qSwm){)xFKyFz|}
z"qTfz|«FqSbz|$oVfß0àzáSaâpã{)à{)ä«å)æMä¢z|çTqèfV{wm)fqSFK
zp«Fa{)}|Ä{)«¦tLsqS|}z++qft.S¨"Tya{)
z
}|{0{)¸rTz|}
qS{)¹wD¾M{)bs
{0stÅsf{)|z`ÒayFz~qKqTs
}|q
{TK
TméTéSs{0éTÀ0¯T{)µ }|s¢mp²`¶K{)ss
s[z|²az
oDz
oFF{qSzKqTyFFw s ¤
}|{)z
}oFwDqftFm)¯[{0Ãrz|oF}
qS«atf
Kz$fsssqfS²qT}|az|$oFz
wº}"fm)$z"yFfF|{)s{«¹éFê"*éTéSFé yF¤ ws«F{FF V¤ FssqKSmpq ¶ ¤
£ :¯ ë ½ z-¤ wDTqK{{)fFrì+z|qDfFm){)z|²qT3fs@TtLqSz
{)}
}-z
{oafw!m"o+z
}|oVyF
z+qfÈKt yF£Dmp¤¶Kws{{)F
z|w¹w¹fz|{)¶ ¤
m0F{)Kz
s}
qKqSm«Ffs«F
oF{0m)qSyF
sqT«F|
xFsfzvqTz
yFoaz+{)w²|oa{)sm"To:{)
yFa
qS{)}
z
«F{0qf}t`z
z|q
oF{V{)m)z|yFz
}|{)}
}í{)K±Vzz
z|z|oFoF{{ «Vµ fz"TF{)¯|¢ÃfoF {I½
KxFtLsqS}
z
w¹z|F3z
qT«a¬{)m)uv
}
qTz|D{)}
qT«FºqTF¾ µ`{I½ KuÀ0¯$m)qS°¬w{xFyF
oFz|qfF²
oa|yFqf}
²º{z|z
oVoFf{
zvFqTs¢Ffm"z"¶KfsF|z
FFz
oawD{ {)µvz
oF½ uqK«TVsyaz
{)yF}"ftLqSss}`¹f{0s¸rsz|m){)yFF}
«F}|{)Kz|zq¹m){){0 ¤¤
z||{)F}
Ts{ F£D«¤ z
woa{){}`Fz|${)Kz
zp{0f}pz|fz|T{qTbq¯-¥×|°¬xF}
{vFtLyF
}|z
m)oFqS{)
z
}v{)aFq+ofwFqSm){I}
{m)z
qTowDfxFy ¤
z"ffz|z
qSF§
Kz
oa:{+mFf{)m"{)oF«Fz|q|}
zp{ f¤ am)sqT{ wD¤ |xFzpfyFz|z|{{ÄKztL¯ qS}
wfz
qSF«¬{)sw ¤
°¬z|}p{´«FoVz
qTTV{+{0sF¸rwx{){0}|z
oFwDqK{)«Kz
z
o{)«:fzv²{)
z
z|owë f¤z|wD{)`{z|foFa{ÄKfyFKwfF{)|}vzÄqftbwDm)sqTyF}| {¤
z|{){)}
z|z
{)K}¬m)sSyFyF|{)z
{)
|}|Fa¹qS£ ¯§VëqSz
¤ow|{rKFz|+oF{)m)z
qSFm
f|Fz
«¦{)K}
z
{s4s ¤ xFsÉ}
tLqK{«F«VyFfm0z"{)F«
²²oaz|{)o®}|z
{)oa
x{¹{)m)zf
z|{0q sFµv{¦½ u¯ qS½ yFz}fsf|m0q¬m){)}
syF{)}pFDz
{)w«&yFFm"o¬s¢fm"tŶKs
z||{)z
}Fv {)S£D{) ¤
wD{fa¯
îvËÄïðòñÄÍ ÑFÑ
Î Í
°¬«ayF{m)±VF}
|z.«am){)s
yFm)|}|z
V{)}|{Fz|oF{`qftvfz
oFT{{£¹xqT¤ wDKz
{fFbz
soaT{qT}|az
xFoFyFw&ztLqTr}-z|xFq }
£q ¤
m0|yFsyam"
oz
{0z
}
oV¯ z`½ fzssKxVxqT}
z
Kz|z
qSFÆIz
oFT{
S«V{)3zp| yF¤ Fx|qT{)z3Kz
Ú|V{0Ksz
qSq FT£ Ûz||qÄyFF|qT|wD{)z
{
m0z|oF{)K{vz
{)yF}F¯+|Ã{)z
oF{rfFsT«
qSxF}
}
z
qKoam)w {){0«F¶S${){)+xFz
z
{)}"}"ffm"z|¶qSFqt¯ z|oFµ {
{"tLm)qT{)}|K{`z
z|}|oFqT{X«F±V+}
q|z t
Ãz|{)oa}p{Äz
fsqTS+qT}
z|oFz|oF{$w¿m){0rz
{)z|}
}|qSw«aVfz|}
{){v$²FoFz
{0¢f¹sz|¼)oF{){«Im0z
{)qK}"z
f}
FqS«a«qTwºsqKmTffz|syFqS{0F ¯
tM|qTzpss¦qf²±V¸Ka{)Ä«¬«FyFx}|{)}FtMqT§}
wDf:{)«bz
ì {)}"fz|qSb¯ ½ §{m"oªz
{)}"fz|qSb[z|oF{
S¯ z
qqS}b-{¯bImpo
xqKqTm)¢Kz
z {-±V²a«3z|o¹z|oFz|{`oFm0`{)Km0{)z
}
KqSz
}
«qS²«boF¯ mpo´m)sqS
{)|z
a¯ m){){ K¤ z
{)}|
qTz|«bw¹-fz
z|oF{`{Dm0{)m)K{)z
K}
z
qS{)}
«qfstqKmw¹z
qTa$qftK+xqTzpK¶rz
+Ff|
tLqKqSm)}.¢{ffz|{)m"o«
²z|oz¯
Ãmfoas{ w£¹F¤ wDw{yFfw!FqftÄsSz|qToF}
{z|oF«Fw
z
qS}
z|¶KFqSqf²w{z|q3
yFm0qT}|{§KT¾¢{)z|}|oVTf{zz
q~´sq ¤¤
{0z|}
}pqSfS«a{+pÀ)
¯ÈKyV½ z+}
{)*«:«Fs
qz"f¶KFFm0qf{+²tL§}|qTz|w qxV{qSrz
qKz|qz
qDsqfz
²ºoF{)tLqS}I}m)xFs¢f}p
Im)z
m){)m ¤ s
«z|q¬fzpm)qTVnftL|}
{)qSr¯$zDz
oFyF{:m"ofqfsTt[qSz
}
oF{z
oF}|wD{)s¢fmz
{0«|
²`yF{0qS¹}
¶+«a«F}|qK{){)m)Xz|sFKqT¯ z`½ Fz
z|
{)z|{wfxF«-z
«a}
¥[{{)xa}|{)}
KqTz3xqTwD|{){)«bz
oF¯ qK«F<q²t~ª|yFFz|qªpqTwaxFzpsfF¬fF|«ªw¹xFss
xF}
Ú
qf¸Kfs¢w¹fFm0z
{)«FqTÛ
"z|}
f{)wD{¦xFs{|qfoFtvqfxV²qSKz| rÇ |z
"{)f}w{)xazsFsÅ*¯tL}
¾
qSw ÔTÔSTz|oFÀ)
{+s{T¬{0faqf«®t` Óf ¯
«az|¾|oF}|ÔS{{)Ôm)rFzIÀAxFz
yFoF
yFz´{+SxV|T{qS{)f|}|Kz
m"{)z|o« ¯¹ ÞoVz|
oFw{+FyF|xVs¢{)ffz
z|m){){´f« s¤qf¯ft.F¾
xaqTÔT{|fÔS
sTFÀIFs¬{+xF}
xVf{0xF
{)}
xFKz|}|zqrz|qTmpFo&z
}|z
{)qq{ t
|z|z
ÉtL}|ªyFm)qSz
yFyaz
}
s{{)²}
z|oF
«yK»
xm0{){){0«rzm)|qTzpwDfz|xF
yFz
z"m)fz
¯qS½Fz¯IÓIyF
qf{0²`«¬{)Sz
q{)}v«Fz|{0oF { ¤
mwffsm)KyF
s¢fxVz|f{)}"«fwm)syF{0|z
z
{){)}|}|~¯ }
{fxFxF}|qf¸Kwfz|qSFfF««a{)xV{0F«qT
IqTz|{`z|oVfzfsz
oFqSyFTo´z
oF{v
z"f}
z|Fm){0rz|{)}
Xmf
V{v
{0s{0m)z
{)«
|ozp}
FT}
{3z
z|}pF
f:}|S}
sm)K{{)KzÄ£Dz|{)¤}
wDwD¯xV{ff!m)azv+VqT¦«ªVtLyFqSm"soFz
soqTm)x«F{{){)}z|qtM{)qTtÄ}
}
wDwFFfz
F¢
fm0z
sX{*mTm){)FKS«z
T{)«F{)}|¬|z
mz|qTfoF} { ¤
z|z|oFqT{b|¯ {)µ s{)}pm)z|«FqSs{)3qtbF
«zp }
z|Kar3m)«Æ{0¾|rz|ÔS{)Ô}
TÀz|oF«a}
|qSm)yFyFT|o$}|²~{)xK{-fz|z
{)q«}
{"
±yaF { ¤
"fwDxFsa3fF«D
wDqrqSz
oFF¯
m0z" fqrqTz|qS}}
qS«Fz| oFV{3¾L}|z
À
{){)w¹´z|q§qft`«FF{0z|«FoFF{){qT}z| {¹qf¤ tvz
z|o¬z
oFoF{m){)KFxVz|«Ff}
{)qTx¸¬{)«b}+q¯´tIJv°¬{
z
oa{3«F{¹{)²Fm0{)qSsKsbz
z
{ya}
qSK{ «®z
oa²{3oaz|FoFm"q o { ¤
z|oF{m)sm)qT{)|K{)z
}|z´qTz
q«z
foF|
{ qKm)¤ ¢z|fo¬z|{)«V«frz"¤ xVz|oFqS{ K z¤ ¯z
o qSx}ÄqT{0K¸nz`«awyFxF}
sF{T fD z¤
{0z|oF}pf{z||qT{)bz¯qftb!!xqTKz
z
voa{z
ofaz$xFyFoVzS
%{ {)z´ qft`fvxqTz
oFK{)z
}v.m)sqTF|«"{)
!zm)${0#rz|}
! qS«- ¯
°¬wD{){DFs|{)qS&z F($.'*-¿) !F)bF«F+« z
oF{ /+',yF
) !|¢f )ɯ§m)ÃqfToa{¹}
¢KfyFFwm0{w¹{)}+fz|q}
tĸ+«F ¤
0 '«a³F2¾ 143À)¯
5í7
Ë 6 SF9Ñ 8-FÑ
Î Í ;Î :<
ÃqSFoas{ÄfVs{vSqTyF}
{0z|«3oFw z|qfx${)}z$tLqS²}
wfX£D«F{)¤
wm0}
{fVF{0-«¹²yaoFx{)z
}
q+{ £z|oF$òxV±VqS¸K{)r«zXfmFf«
|oayFqfxF² xFsz
q¦{)«D{"»r
m)z
{)oaK{Äz
sya
{)|}{¯f}|°¬mpo {tLxFqT}|}´qrm0z
{)oF{){«F{)qf
²z £ z
q
¯«FÃ{)wDoa{
qTFtL}p|z
}pwz
{ { ¤
²vqT²}|¶¬oFFm"oqf²¿z|oFm"{oVz
f}|FyFS{ {)£
q:}
{z
foa
qS{¹Vyaf
a{)s}
qSsF{)s§F|FxV«{)m0z| oF±{{)¹qSyF¦z
xF}pyaFz`T{
az|oFqTzvqT}"FfsF
Sz
{+oF²{IoF
{)m"zoq
tbm)m)qS{)}
K{)z
}|qT{)«F
zKKayFz~
ws
q3qK«F´{)s[Tf|{)syFs{){vm)tLz|qSqS} §£ m0}
¤
z|z|{)oF}
{+qSxF}|qK
m)ya{)mp
ofm)qSFµ`m)½ {)u xaz
¾¢yV
{0{*ssKlnF{)²m)z
z
qSoaqTyFazv¯]TxVÀ)¯òK°¬F{±Vw}|
yFzvm"«Fo¹{)
m0z
}
z
{0V { ¤
z||zpqTªz
z|z|q§mfz|oFs{z|{)f
sz|TqS}
yF
z
{)oa« wtLm3qT}«a|{)m)zpqT}|sa=¯ ª«F{)É¥[¸K{)z}
`{)²vKzD{
«az
{)}|yF}
m)Tz|{yF}
z|{)oF{ ¯
°¬sT{vqTz
}|oaz
{)oFw m)qTfwDF{`«¬|foFm"qf¶3²z|qoFqfz
oF²¿{IoFz+Tmo ¤ªs{)T{){sK«Fw{0
xFm)s}|{)wDxaz
{)KqTz
{)«¦qt×{"z|» oF{ ¤
m0|yK{0»rz|m)s{)KyFz
Fz"fDz||«Fz
{m)fI
«Fz
{0qS}
}
{)K«¦aDtLz
}|oFqT{
w!ØFFÙ s¢¤ fz|}
m"{)¶K{s
Fz
qKF«F{)¯ F«z|oF{
J B×HKCFe CEDFMEN
>@? A hibd-HK$
½sqf¬²v{0{)
}
{0FqTm)ya{TFXǤz
oFq{t~fz|oFsT{
qST}
z
ToF{)w!¦}p|fzpa}
Tz
{
f²F«:z
o m)qT£ Kz|{)KÈKyFyV{0fÄsvz|z
qqfz|«FoF« {
m0I{)K}
z
{}
qSmpoa«F{)$«b²¯ oF¡ {)}|yF{`}|z|FoF{)z|oFf}|{`xFF}|{0qr{)m0«F{){)
«yFz
KoFz|{
sKm)z|{)oFK{`z
ya}|qTxFxV«:{0}$
{)VzqSz
yFoFf« z
z|oVm"oFfz{)Tv{)±Vz|oFf{ss3{)qS|yFzz
xF
m)yaqSz}
¯ {`}|{)m)qT}|«F{)«b[F«z
oFv`z|oF{qTF{
Ã}|{)oax{{ffz|s{)T«§qS}
yaz
roFz|w s[m)m)qTqTwDa
xF
sz|{)`z
qqTt×-z|¯ oF{tLqSssqf²Fz²vq+qSxV{)}"fz|qSF
ëGIH HKCFEKJL
T¯MIH=N efiOH G GICFefC H J
F¯MIH=N efiOH G B4PeQKCPRQ.efH
F¯ ½
tm)qST
£ }
FS?:wV£ UKqK«FW9X{)s
tLz|qTqTyFx¬a«¬fF«F«:yF}
}
{)Fx¦qT}|z
z+oFz
{Doa{
{V}
{)m"|obz ¤ ¯
Ç s
{TY /qTz|q¹S¯
Ãqt.oa}|{.yFMIFH=FN Fefi m)OqSH KG TGI{)KCFz
efC qSH VfJ s qS£DxV¤{0w}pf{z|fqTF+vz
bq|m)wqSKxFTs{T{)}|ìaT{)z-Fm)m0qT{Ta¯
z|
òoaoaZ{{)}
{MIH=F{0N ² efi m)O{)H KG z|B4}
qTPe «FQK´C[
P\oFQ-qSefyFH s«·qSxV{0xF}pxVf{z|fqT}¬¯´Ã±FoF«F
qT+yFz
mpoaÉtÄ{0fTF{)««
K«a¬{)m)s«F{)z|{¬z
²F¬oV
z¹qSwz|q{
m)xF{0srz|^z }
]qS«a°¬{
xas{)z
SºªzK²vqV«F¯4{)|Óm)qf}
²FFmf²`F« {
«am0qT|wwF
F|{Fz|3oFz{)²v}q
z|qS}
K{)rFSqSz
yFoF
z|F}pf«z|{)TTqS{)«bz|oFtMz
{){)}I}v²`²{oFmp¶Ko¦F{)²`
|{+{)²ss
qSyF}ë ¤ wD{fa`|z
}pz
{)Sr¯
_[`VàäÂæLæMä¢çTèbä ac"Z
VF{{fz|}|qKrxFSá}
m"yF¶§d[ eqS£¹Ff{¤ ç wDc3m){){áSKfæ$z
F}|áXqTz
æL«bq+bä gm)xFcEqSh}|wqKÃxF«FoFsyF{){Dm)z|{±VqT3}|
zaF{)²¿««F{
m):{){){IK²`Éz
t×qS}|z|qTyFoFs««{
}
z
{)oF|{4yFsFz
{)F² :m)w{)KqKz
«F}|{)qTs$«b|m)¯ qT}|{)½ tz{)z
«Fz|qK{)}{)¯|j ½i zt´z+}
{)«az|qryF{0}
`z
qm)m){)z|oFxa{z
xFMIH=}
{)KN efqTi yaOV3H |G z
Bn}
Pyae m)QKz
yFC}|Po{TQ¯ efH µ |yFz
z
{)xaz
$oayF´Kz
²sTsë svF¤ w{){){«lFkb¾£[m)UKqSWmw X À¤
xF²soF{)z
mp{To¯-m){)aK«3z|}
z|qToF«b{)¹TwDz
qToa|{`zÈK«FyF{){)
|{0z
}
KqT
FqftFz
oFq4qf²¬Tz|Tq{¦m"FoFqK}
qTz
o-|{ ¯
z
}
F{)«+«¦ÉtFF{)zb¸K«Fz^]4qK{)b|j{0i}
zoVwDxFxFÄ}
qfsSs[{bm0z|{)oFK{$z
}
qSm0qT«F}
{m)²qToyFfs«zb|oF{+qTyaz
{)s«|z
{)« {
DFz
m)oF{v{vf²~m"o
z
{)¾M|fz$FF«{){0z|oF«F{)$²`}
ya{I3
qz|t m"£D¶D¤²wz|{oFz|oF[{z
oVV{)z|zp²`ÀíqSFyFyFs« z
VqTF{sf4qTa{){ĸKz
m0}|{){)Kwz
}
{)qSs4«b¯ {)¸KxV{)a
T{qTx{)}"fz
qSªtMqT}f«F«FF
_[`VàäÂæLæMä¢çTèbä ac"
«a¢f{wD$yF¸rá |z|{)yF«e}
{´
wz
qKoFa«F{{)áflFs-à Ä «aæ {)½ c
KÃ z
Iâ -Éc±VÖçamæÖÄz
T qTä aª
å Khí¾Â
°ªz|Ã{)oFw¿f{|
tL{)qS}|K} w¹|/+{)fm)f:qSyFFÒ « ¤
m)oF{)qfKqK²ºz
qT}|}
xFqT{S}
«FqSw®f
m)xam)F}
qS{)
}
|«Fpz
À)oaF¯ {)´lKz
fq+w}
|{
qTxFz
ws:qD{v
mpoFxFoa{)sqryazqS}
¯I
{ª
lKz|xF¾ÂmIpsm)zF}
z
Àz|oF{)o{)}
w:fqTsÉtÄ
}
z|tMyFoFqT {}
VãD{)oF¤ z|wDz
¬{){}faz|oVffwFz
yF«&oam"{¹o
{)qS{:wD}
TÉqTt*}
V{z|oFs{¯ T}|T½ {)}|t+
{)yF
qªs|z|Tfa{m0ªm)
{)wz|xF}
zDyFqK«Fm)z
z|{0oFyFs{}
{ºm)|xFqS}
sw {)z ¤ ¯
xFBn}
Pqfe SQK{)CwPEQ{)KefzH )}
{0z|Èr{)xFya
}|yFFKz
qTsvFës ¤ kw¾¢{sqTfF £ m)U qSWmwX jÀxFsMI{)H=z|{)N ¯efi µ OyaH zG
²}
{)oVSfqSz|qfoF²qTyFFs{0««z|KoF{m)oF{)K{0yFz
}|}
qT
«z|] m¡ m)}
|z|z
{)qS}
}
z
qT&qSV«F{\]yF{z
lKq
¼)m){{) q¤ t
z
wD}
qSxF« }
qf] S{ ya}
z
moaf{)|}
{)wD+qT²}
oF{S{0$²vqT{F²{´qTss`}wDz²v|qm)z
{)oFK{z|}
m"qToV«Ffam)F{{0{)z
«q
z
q
xaszvFyFzz|oF{+}
{0
z«aqFqTz¯
ÖISyFqT}X«F
[qTsz|yFoFz|{$qT«F3}"²mpoaVf{0m"T¶K{).z
Foa«{V¾Lf{)-a²`{"±V{Xz
²vqfstsS
«a{){${f3ln{)fm)Fz
«qSF3FF¯]yFTzÀ
m²fªss{)¸K{xFz|s¢fyF}
a{)rǻwDKz
{q§fa`¬q{)tX¸Kz
}|{){)w¸F{)sw¦xFtÅsf{T|¯ z3qSxV{0}pfz|qTb¯°¬{
z|m0 }
{)qSKTz
ya«a}
}
qS{¯+«ªÃf|oaoF}
{3{qf²qTs
yFq´a«V
zpoFfqf}|F²{0s{Ä-¯£Dqt~ä wDz|oFoF{{{
f
}
az|{)$}
SyF
qSm0qSz
FsyFya}|z
{¹qfqT²DwDF²{)xF«:}
z|qfo¹KS¹´{)w{m)f{){)m"Ko ¤z
qSm"oFxV{0s}p«Ff}|z|{)qT¾ V{0TTyF}|F{ÆSKÀ)¬¯Ã|xFoas{)z|·z
F}
¬{{wDm"qfo®T{)m0«§{)KDz
}
«FqS|«zpfarm)z|{q§xFz}
²vq q ¤
xsqTqT}|Fz
qT+f}"sTfz|Fq«az
qToFw{vs
¼)m"{XoFqfqTtF|z
{)oF{vT}
{){0m)Tz|qTqT}K¯ {0qT¸rxFzxFqT|z|{{$f«Fm"o}
{0xVm)fz
}|qT{)aKz
}|x{)fT}3qS¹qt+²vmp{oa}
syF«F:}|{)
b¯ sqKm½ zs £Ds¤ qKwmf{sFªÄ¾Âz|²oVfz
zo z|£ oF{'ºm"oFTÀXs«atL}
qS{)}` {fm"}
o {
±STqToKbz
ì
FFq{fqSm"z
oªoF{0qS}
z
¯oF{)}
tMSqTyF}+}
{z|oF¦{
xVoFqSqf²Kz|
+z
oaª{z
±Voa}|{
z
xV
z
}
{0{)x®K\z qi
tÄ}
f{ s¤ s
z|z|oFoF}
{+{0m"{oFsqrs«Fm}
f{0sÄ {)¤ TwD{0{rfz|ayV+fs}
syFa{)F¯ «yax§SyF}
tL{z|{)}Ĭ|soFs[qfsqK²ms.² oF¤ {)wD}|{§{ffFs s
oT{z
{)}|wVz
{)«b¯
sz
sz
xVoa´}|xVqfqSt+Km"zoFs«Fw}
{)qK-«F¯ {0s$½
{)s{){m0z
mpo&qTmfz
|{0{§
z
z|oF
{xz
{){0}
tLzqS}
fwD|¶r{)4«¬Ú
qT
z||oFz
}|{)yF}|m){Äz
ya{0r}
{+«FoF{0F{0}
m){T{Kz
qSoV}`²vz$qTz
oayF{s«z²vz|oFq+{m"qSoF}
sT«a}
V{)sFfxV}
f{I}|{)wKz`qK«FwD{)sqK«FF{)IsF}
z|{oF{ s
«a«a{)|zpz
}|sayFqfz
t[qTqTDa{{)ÈK
yFyVm"fossz|{)²v
z{)stLsqTÛ } ]D£Dä oFw{+{FF{)¸Kz¯-|{)m0m)m)z
qTqS}|«FFT+Tz
{0q`z|z|oFoF{{
qSyF}
{vz
m0¶KqTwss{){«bq¯òt`Ãz
oFoF{`{
oaz
qT{0x
z{ò{)-z
z
oVoF{)}´zm)z
{)oFK{
z
}|xVqTf}|«F{)$Kz|zoVqSf}Äz$fz|s}|{qff¥[«F
xaqf}
²F
s´¾ÂKz
oV
F{0z+z$qf«Ft.S|xz
z
qT}
oF{0FK3yaz
vz
²²qTsoFsKqT²m"yFoz|ssVstLqSFS}
{`qSwz`z|oF´{){+m)}$swDyFm"
oFqrz|«a{)s«F}±}
{){)«z
À)Koa¯${ÄÖIz
z|oF}
yFz
{oFxF{yF}|aqSqrz
«Fm0oF{){){0
} }¤
ofF«bò}
{)SqSF+qt~z|oF{
xVm){²oFm"o·}
{FqSz}
{)xF}|{)
{0rz|{)«
!"$#%"'&)(+*-,/.10#2(+343+53687:9);"'<13=&$>!5-,)?,)4#%"'"A@'"3+9
,)#%.15-B+&'C
EDFGH<[email protected]#25-653<*!@"3+,)#%.15-B&)J+*5-,2&:53+,2./,)>!.@K+5*-BF#%"3C
²vz|qT{)sªsKK¹4z|oFa{
m)}
m){yF}
}|F{)K¬z3z|m0oF{){Kz
r}
yaqSw«FV{)²}
qfss-t}
m){){)m)K{0z
S}|qT{«FwDqS}
4{3z
oFz
z
{0{0w§ ¤ ¯
Tya}
{3
|oFqf²²oVzoVfxaxV{)aÄtMz
{)}Iz
oFz|{)
zIoVfIV{0{)
xFxFs{)«z|qz
oF{´z
oF}|{){+xV}|qftmpoas«F}|{) TyF}|7{ ¯
Ã|xFoas{)z
}
z
{"tMFqT}
{Im)qSqTKyF±V}S|yF{f}p}|mpz
oDqT
FxV.m){Fm)«¬qfSz{)}
«F{)fz
s{0sK}
xVwqS
F|{0a+s{²MoFLm"o¬xqTqT
Fz { ¤
z|Sq¬qTb{)¸K¯xFuvsqTqT}|wD{¹xVKf4}|{)«wD²xF}
z
qfoDKF«F{fz
+oa+{ µvF½ «u 3sqKmVqfsSs¬{TKz
4oa{fm"ossqf}
²{ ¤
qt~3Sm0f{){)ya}
KDz
z
qT}
m)wqSsqTf«F
z|+{mKz|m"qoFz
qSToF{0m0{}
{z
qf}|tLyFtV{0{+²²,KoF¾ÂyF{0z
w§oF{)m}X{)}p
z
ÀX{qqTz|F}oFm0{S}
{){m)}
yFD
}|{}
w¹{)z
Koaz
r{rryaya¾¢²wwoaVV{){){) }}
z|moF{vssm)KyFf}
²v}|{){KoVz$wT{qK«Ff{0s
sTq´
{0tLTqT{)ya}|F{)s«+z|yFoVFf«Fzv{0}
}
{){)S|z
qTw¹Vs z
{)£D ¤ £ wDÀ0{¯ faÇ $wD}
xFyFa} ¤
²wDz|Fo¹w¨"yFF|¯ zƦm){)Kz|{)}
z
{0F«z
q:V{s{)
|{)F|z|T{z
q:sqrmfs
°¬F{4+« m)M qTH=Kz|N KefiyFOV{4H qTG |B4m)Pess¢QKz
CPEFQbefH V{0yFzK²`z
{)sv{0 z
oFMI{H=yFNxFxefi{)}DOH VG qSGIyFCFFef«¬C H tMqT}J
£ fz|zpa{)«b¯
>@?ONQP MIR B@CiVe FMEN
Iz|{)
}
|yFfwz
{S{²vw{qKf«F}|{0{sK T-T{)F:S²z
oaoF{{)}|«V{fz" qS! yF}vfmFf«ª|{A«FÉtÅ¥[{)w}
{)KszqfwDtqrf« s ¤¤
{0sm0qT}
}|{)
xqTaǤz|q3|qTsyFz
qSF²z
o«a ¥[{)}|{)KzTfsyF{0qft £ ¯
01<234'6B8;:)6>=HG/8
01<234'6F=:)6D?AA
01)23547698;:<6>[email protected]
01)235476B=:<68.A/EC
W W W
3! U W" #$% " & U " &'( W )
" *+%+%,( U -./#
I 7J/(K W L W. W W. !3
U W" W -( U \" W *#
ÓI}|qTqf}²¿xF«F}|qqTV²v{Fsm"oFz|qK{0qT|{}z
oa- {) ! {)
ÄzI] z|qª°¬|m){qT}|²{sz
s$oFya{:
{wz|qKoF«F{{0sxqT¯ |z
½ { ¤
qS£¹yF¤ }wDm{f
F{z|¾ÂoFz
{oVwz+qK«F-{0s
xFoFf{0}|}
{§mffs%s sv/´qft+fyFz
oa|
{¢fzFK"xVÀ){¯DfÃ|q
yFwDxFxF{)«}|qf¸rK ¤
tMwqTsfsz|qf{+²z
aoF{tMxqTqT}
w|z
{)ya}|s³ÄqT}
tL}
qSw yFx:+z
fq
FqS}
Fw«f°ªs¼ff|z|
{)qS}|bw¹Kf²v:{¾
yFÔT
{ÔTSz|À)oFì {
2¾ - KK
À ' F2¾ !À sqT. ²Foa4{)}
z
{ qz
oa2¾ !{ À´ ¤ z
+oz
oaw{qKs«FqT{) s+¤ s¶TF{)« soFz"qKfqK¶S«{)Áqftzz|oFz
{oF{:«fw¹zp¦¸rfm)wm)qSyF}
w « ¤ ¤
s ¶T{0- sFoF¯qKqKëoFxqTKzfbs
q
F¶K« Fqf ²¹+z|oF{z
oFK{3yFlnwmpoKV²{0}f}|qf¼Ätm0xV}
z
}p{)f}|wDqT{)bz
{0¯ }
ÃFoam){{T-w¹yFfF¸K«aw
{)}yFz
w oF{s¶T«F{0{)sKoFz|qKmqKf«+s{)
|xFz
oaw¹{)}
mz
{s ¾L /+yFÇ
À-|¢tLfqS§}$z
oa
{
yaTwf}
x ¤¤
z|qTbKì
2¾ = À 3 ê
1 3 '
£ Ãoa{ÄxqTKzxF}|qTVFsz|{0~}
{Tì
2¾ À '
1 {0¸rx 1 3 ) ) ) ) 3
Ãoa{ÄsqS ¤ s¶S{)soaqrqK«
qft$z
oa{Ä«fzp
2¾ !À 'sqT 2¾ À '
) ) ) ) 3 sqS
sqS
3
3
²w oaya¸w?m" os¶T{){0ssqToFFqK£ qKz|«q¯ {) m)|{)qrz
Km0w¹z
yF}|
qTz
F«{)§¨"KyF|{)zFs«F«qTìxFsz|yFoFT{+S|a{)%z3! z
qoFt.{xwqTfK¸Kz
¤
|2¾ ! À ' sqTV¾M [À - sqT¾ 1 3 À £
vsqT. = sqSK
O
QP
SR
YZ X
TVUIW
\[^]
`_
`XZ
]
X
dX
_ e f X g
Z
Nl
m
}|~B|
ZX
ihj[
[
o
rIt
[
>u
u }
If [
}V[ }
Vv>wLxzy
vS{
V
i~
[
k
[
X
d
o
p ;q/rIs
>n
[
a[ cb
_
01<234'6B8;:)68.CDE
01<234'6F=:)68;GAH
X [
[
I M7N- - " & " *
W WU * " 7K#
W L
ã oa{rIyam)ws¢fV
{)I}xFq}
tVqStLV}|f{){axVsz
}p{)fwD -{)z
{0}
£ m){)Kz
}|wqT«xasm)qKz|qSoF}
{«F
VyFw¿z
{)qt
Fss.«m0{)qSKFz
{}
qST«F}
3¢faFm)|{z
{{)|«¬z
w¹qftqTz
{TF¯-{SÃbq3²v{{0¸ryFz|
{){DF«z
oFz
{
oatXftLm)qSz+}
wz|oVyFfs¢zvz|tMoFqT{}
sqS ÈK¤ syF¶S{0
{)z
soaqS§qrqK«qfz
t[oFz
{
oa
{yaxVw<qSqfKtvz|.z
oFz|oV{
fszXqTV ¤{)ssqS¶TF{)soFz
qKq3qK«ssKqfm)tv{0rz
oFz|}
{qS«a ¤
«aKyFKw«FyV{)}vsFqfm)t{)KxVz|qS}
qTKz|«F`²FfoFFm"«Do}
V{)xa{0ss³qSFm)7{
ºz
q
z
VoFqf{+Sm0{{)²Kz
z
}
oqS«Fz
oa{ÄyFz|FqT«Fz"{0f} s
m0qTF|«a{)}pz
qTb¯
°¬m"oF{qKqSyF
|{){`$z|z|oFoF{ {µv½ {)u¦
z$tLqTwD}|wqK«FyF{)s¢sTz-Ts{)qSFVm)fqSsyFs`Kz
²{)oa}|{){)«b+Fë fa¤ wD«Æ{fs|aqs±VqKVmffssss
fss[z
oF{´m){)Kz
}|qT«
xFsz`z|{)
z|¯
>@? > c CCHrJMHKefC PEFLiE
Ãxasoa{0{wë{)K¤ z
wD{0«¹{ffa ¤ÆtMsqTS}vqT}|
w¹z|oFw<ssF«V«af{)z"
fm)}||{)Vz
{)«¯ µ |qyFz`tÅ|q+}3tmff}vª²`{I{oVw T{ ¤
a|yF{)TT¨"s{){)m)m0z|z{)z
«:q
z
z|oF{w«FqS{)
|zvTwDm0xVqTqSF}
|z"z
f}pKz$rtM{zvfz
z|oyFf}
zv{T¯ zv½ zI
oa²~qTyFs«KS{Ä{)Kxz
qT{) « ¤
|²Fz|so¹{Äz|wq3fya|
{+T{mKm"yFoFw{)«{)|zp}
fz|q
t.z
}|m){)m)qTz|}|q«F
m¯ s{ÄzvyFxz
q«Vzp
{)z|
z|c F{)}
CwDCqSHr§FJMHK{T
efSC tL
qSPEFFL}ES{)sNºT{ {)£D£}|¤G^wH«Vf{HKz"CF F¤ KE xVJ[qSLz
{)K}"°¬zfKz
{²qSoFb{)mp¯ToÃm)oF{0{+Krz|z"}
fqSm)|¶¹qT«¦aqfm)I{)²z
KFqz
}"«af{z z¤¤ ¯
òoaoa{)m"bo:K²vV{0{sqSmFm)z|qTqwDxFTyFz
S{{)z|oFm){{)m0K{)z|K}
qTz
{)«¬} ¤ qft F¤ w«:fz
o|`fzqt.w¹fssF¶Tx{)qTz|KoFz
{
a|{){)}
² S{sqKz|oVmfzz
qToa qf²tLqT}
aÄz
oVz|oVzfzvm){)+Kå z
K}|qTß0å«bcæF¯ qt×½ wDxqTwK{)z
«F$¢z
s{)sasV{)s²`qS{FqSz
q ¤
*AT
FT{)S
s{
m)x{)KqTz|K}
qTz«DTT{0¨"yF
z
zvoVf$z²`KtL{
qS}
oVwTf{
z
S
yn{`»f$m)«a{)qTKzÄF|zpz
oFz
z|tMqTm0}
tMz|qToF}{z|KoFyF{
w
yFF{)}|{)qfzt`¾¢xqTqSKyFz
3}mF
«:{
z
z
oFoF{){
}+
ynS»{)m)m)z|qT{)}+KzÄ|yF|w¹zpÀ0z
¯Æ
z|uvm0s{*}
}
s{
z|zvoFw¹3+
apqTSz
{Ä
TsFqTÉzv±VmqfftbKm)z
qSswxFwDyaqTzp}
f{z|qT{0¸rbxS{)xFF}
|qfKT{«F{)z
«DoVz
¬oV«Fz{)«FwDqTqTF ¤
|Øaz
Ù }"¤ fz
z
}|{)F{wz|oFx{qTqf|²{)+F{)}|
oaoF{0x¬}pfqf}|m"ToF{0}*mfDs$||z
a}|TyFsm){3z
yax}
qT{KqTz:¯z
lKoFF{m0«{3fz|zpoF { ¤
|z|{)bzFqKfF«F«{)²vf{z[m)mqSfF
z|{}
yF
m0sz
qTm)
qSz
wwxFyF{Sz|){z[|w¹yK»¶Tm){){)[KzV|zpz
fyFz|}"
fz
sSm)
{)vstM{)qTm }¤
[
_
]
z|}|{)qT
{0rtLz|qS~}$Iz
oF|yF{IFxV
f{0}|z`z
qz
tVqSz
oF{qf«tbfz
zpoa {¤ |x{)qTz¯ K½ z
z`¯ sÇ |qmpoVo`ØFÙ ¤ aqrqT«aya{F«F}
{)Fx ¤
z|oVqff¸[z´[²aoFm)syFm"o§«F{)+fDss$wxqTFKw¹z
+sb¬¸Kz|oF ¤ {xf|yF}pFs
s{0{0s.z¯ oKK½ xª{)} ¤ «F}
«F{)m0z
zpfqSa§Ts{z
m0|{)qTKKzÄzp´aF
x{)qTm0z
KqTz
{)}|+qft$z
z|qDoFz{²`xVqDqSmpKoaz|s«Fz
}|oF{){):}FxVqK«F}
{){)KòzI²qfoF²mpFo:¯ }
{0xF}
{ ¤
|suvqSz
qSqSFF}
{+
z|
«Fq{0{}
}yFímpao-F
r{)Fz3.qtn²vz|m0qT{)qTz"sfyFsFs[Kfqfz
{0tz
}
oaz
oF{)S{qT}.aKS{$yF{)m)tLwqSz|qT}[}{{)}vf
yFm"qfo
w:t.m)x¯[{)qT°¬Kz
K{v}|z
qTvF«bqfz
o²¬ff²
zoaoFqfm"{² o ¤
¨ oayFFqf
²ª«®zIqTz
qFm)m)m)yF{){Sxxa¯«Vz
ùz
oF{{ 3fxssKfNz
}poad-{wC m)P{)qTH z|yF{)xFK}
}|z|qr{)¦}
m0${)F«FKqKyF+«F}||{{¹mfaFF«®F}|¦{)m)sz
yFoF|}|z3{
TØFq{
tÙ ¤ qTm)z
{)}|F{){S{¤
z|ya}
xVqS«V«az
{z
oVz
oa{Äz3m0wqTyFK§z
{0qf}
²4qt.z
oFz|oF{{+xFqTqKK«Fz
{)
4DÈrzya¯ {)
½ z|z|qSzpf²|¶ªz|o
z|oFz
q{
z|m0¢{)xFfKxFsz
}|}
qTKqSxFS«F}|qr³m¯fz
z
{íqSTtLz
f{0syF}+v{0²zÄqf}|z
t.{)oz
z|yaz|oFoF}
{+F{
x}
qTqKz
qToFKzv{z
FaqK{)«F²¿{+z
oFsfqK{Fm«FqKz
z|«FoFqT{S{a¯`ÄsÃ|wz`oa{Äqt.Ffs{ ¤s
m{0}
fsm)z
yFoas¢{Äfz|S{){)«:qTwDtL}|qT{)z
w<}|3z|qoFt.{z|m)oFqS{yFKqTz
{)yF}|a«F¯FÃ3oF{qfxF¸}|qKfm)a{)««FyFz
oa}|{{m)m)yFqT}|F}
|{)K« z ¤
m0K{)DKz
xF}
}
qSqfK«Fsqr+mz|foFz
{)qSFmfz|aq FqTc0zàä g
xqTä¢çF|
áS2æFcsm0{)qfK²z
}
¹qS«FrIDtL}
xVqSqSw rzvz|oF{+z|soF
{z
m0xayFs{0}
z
}|{+{)K«Fz{0zpFfqKs«F{TF¯Ó²`{0F{0sm)s{fz|oFxF{}|qKqfftLwF{:mÚ
¹as³m"{¶rtLsqS
yFz|FF«TÛK¹¯-uv{)qTssw {) ¤
@tLFz
«{0}
oaqKqT}
}
F{¶K¾LSFéTéSz
éToFÀ){´¯òÃs|oFz{`Fxz|oFqT{+KxFzb}|z|qKqm)}
{){)«FwDyF}|{){w}
V{){0m0}[yFoF}
|{){)}
+{qTz
oz|oFf{z
m"+oF²s«Foa}|{){)¬z
qfoFtÄ{z|soF{
zm)m)yFqS}|K}
zp{)fKzFvaqr¨"yF«a
{Tz´¯qTÃF{oF{m){0oVrfz|s}
z|qSa«-§©m)z
oFqSF{)-«Fbz
z|qSoF{
m0z|{)m)K`z
}
|qSz
qSj« }
{)i «m)qTyFz|KoFz|{+{)}
ØFÙ ¤F}
{qK«F{SF¯ m)}
{0}
w{)ÈK{)yFK{0z
r{0«®z|syaz
oFFv:oVz
foFxF{x
{)z"Ffz| ¤
a´{)
{)o«Ff{)s«¦sqfz
²ªqsz
{)}"T{0Ts[{)qf}|tb
{3z
oa{*ss[ØaqfÙ t.¤ z
z|}|{){T«FF{)
Fm0{)«F{)«Vswrz|V¯ z
{)z|oF{²vqT}|¶
«asc qK{)mC
m)Cz
}|HrJMqTVHKF{)ef«¬C PEqfFLt§EqfN T{¬MITH=s²vqTNVqTef}
¶Kis :O£DH ²`G ¤ B4w{0sPs{e Qz|FqC¬PEyFQ.xz
e{)«VYH }"fLfz|z
{ÃqSoFbz
{DoF¯{4xF}
°¬m)qK{)m)K{®{0z
«F}|²yFqT}
«s{ s
aqf² MIH=xFN xFefsi <OH z|G oFB4{Pe pQKC[wPoQ{¿eHxF}|qr|z
m0{){)xb«F¯yF}|{ íz|{)q!msmsDf}|z
}
oV zªtLqT«F}|ya²~}
F}
«
ÜXM´H=qTs}
N
qSzvefFqfiqTtbOVaz
H}
oa{)G S{ÄB4PqSxefQK}
qf{0Ct[rPozz
QoFem0{I{)H Km)z
yF²v}
}|qS{ }
{)«FKxzv{)}
ftLz
FqS}|}
yF«Dw m)yFz|yF
{}
{T¤ z
w¯vo°¬f{fz{vFf±Vv}|
a z$xFwyF{zvffm"¶Sz
oq {
z|z|oF{){}pz
xqT«V:fz|+{xF§}
qKz|m)oF{){«ayFf}
m){Tz|¯vqTÃ:oFzp{f¶S«F{)ɬ¥[{)²}
{0oFF{)m)¬{´z|tL}
oFqS{w?s
z|zoF{+}
{)S«asyFqSVm){)f s
z|q¹ssF
xVqS|raz|T$s{m){)z
KoFz
{I}|qTm)yF«b}|¯}
{)ÃKzoFFIqK{)«FT{{)KzI{)s
qTFT´FÉz
±Vq+{0z|oFz
{oa{|atÅfTm0sz{z
m)o{)fz¤
z|z|}
qSmp«-oa¯s«F}|s{)sbb²v¯{3Ãoq«FTq
{
z
z
oFq«aq²v{Fqf
²ºwxFs
«Fw¹K«a¶T{+{z
yaoFx{0w<´s
{)zz²`m){0qS{) ¤
z"|oFfqTF}|zF3s|¨ zyFf
z
F«z
oFz|{oF{+z²vm)yaq§}
}
m"{0oFrsz´«F}|F{)qKb«F`{T¯IFëªoF}|{+{)m)}
{0yF
}|z
{qft`yaz|
oFF{+:²vz
qToF}|¶
qt`«Fz
oaqS{ÆF{ØFÙ K¤ ¬z
}|{)z
oF{3{ofIxVV«{0f{)z
¬{mxFf}|}|qK}
m){){)«F«:yFqT}|{TyF¯z¾ÂxVtLqSz|
{)
}F¦stLyFxFs}|svyF
FmF
om0qT²wT{
xaz
yFw¹oFz
{0{)f«-K}í¯j
±VIFVqfqK²®«Fsb{)T"fÀ)sFKyF{0z
{0²®oa{Äfz|m0F{)qT«}pyFKz|z
oFz
qT{0{)
}
}mqaft.{)²ºz|z"oFf{s¶Sqrm"{moFfxFz
ss¢«fqSm)Fm){T{0Krmfz|fa}
qS««a
q{
qS3yarz|srz|oF{s¢f|z.qt×z|oF{vm){)Kz
}|qT«xVf}|.of
{)z|z
s{)«D«Fqf²b¯
q|cDxVtVdfz
oam0dj{{FPEz
sFL{0qKiFmE«sKCFz|«FJÄqÄ{)c m){)C
m)CfqSqSHKwJM¤ HKw{efC fm)P\¶Kz
FMiFT.Ev{+L¾ÂI¯z|{SoVª¯fSzK
sz
qSqT{)wz}|{)qf{$
t[z|}|
{)axFT¬sqSz
FqTz|yFFz|qf+m)tVqTfz|wDFoF« {{
}|z|{oF¤ {+f}
m)}"{0frFz|S}
qS{)w«a{0r
z{0{)z"wf¶T{0z|.qxaoVs³Tm){{IÀ-tL²qSyFoFFs«{$z
qToaz|oF{+{)z
}}|yF}
{0{Tm)qTs¢fF
|f{)²[oF{)x}|{ ¤
xz|oF{{)}}«Ffm)qTm)}|{0w¹s{0f}pKfzz|¯bqT°¬{IKmªfya
z
}"Ff¬F|ms¢fmpz
oa{az|oFªqfxVt+f|z|zpz
f{)z|}|¹
z
Km)Az
q´tL}
tLqSyFw } ¤
xa}
V{)KqSyFqTFyF«VI}
z
:{)}"Vfz
{)zqS²vF{){)¯vuvzqT²vFq|«am){){)K}Äz|}
qTØF«FÙ ¤ F¾¢qKz|«FoV{fz´z
oVbz{0m)qTz|KoFz"{)f}Fq t
z|IoFs{+z
oFzqS²vyFqTo¬m){0²vrz|{}
qSw«ayF
zw¹}|{)m)yFqf}|²
{«Fqfr²¬qtz
oaz|oF{{+z
}
F{0qK{¹«F{:i IqTxV}|qS«F{)r}
z|pz
À0q ¯
yaz|qxV«V«Fq:z
{z
oFz
oa{fm)KqSfyFK§z
{)¬}|vz|tLoFqT{}vz
FoF{){I¸Kz3m){)Kz|z
{){0}p}
z
qTz|boF{)-}
xF{}|qfvrF«Fq+{0«ª}
{fz
oqSf z
z|z|oF}
qS{«¦m){0oVrfz|}
qSw«aqf¹S{)«a««rFz|qSq¹zDwxqfqTS
{Tz|`qSF«
yaz
mpoVo:zz
oFfq¬zqSzz
moF{)§}Dm)qf{)² ¤
z|D}
KFz
oFyFqf{+z|tqTaz
+oFqr«a{´q{TtVFVz
qKoF«FF{-«i F|qKxyF«FFqT{`
Kz|{0qz
Èrya{¯{)°¬Km"o3zÄ{Äqz|z|tV{)oFz
}p{)oF}|z
{v{"tLqTm)qT{)F}|K{3z|«a}
mqTq3fm"«FFoFE qS{+ifzm)z|FqSoFyF{){+{)Km)«¦z
qS{)z
}|q ¤
z|z|}poF{Ss{)}
||z{3qfz|toFm){3qTwDz|}
{)xV{{)z|fFK3Am0tLyF{)K}
z|z
oF}
qS{)}«Fz
owffz
z|m"oFoF{+{0m)¯ yF}|}
{)KzFqK«F{
Ét
Ãz|oFq{){)}xVfFqS
s{Xz
tÅqSf|+zbm)+qSxFw}
xV{0r}
qS
yFqSÄz|q{)tF}pm){)z
KqTz
a}|qT.²v«3{vsqK{)mwz
xFsqTqfFIfK²f}
Fz|{
z¤
qSqtFm)m){
{)K«Vz
f}|z"qTǻ|z
m0}
qryaqSm)}
z
«FyF}|V{z
²{)oFm"otMz
{)«F}
qK{)z
´oF{DFqTFzIz
xV¢{)f}|swFzÄ
{0}
sz
z
{)qS}"bf¯ z
qS½
mz|q3f
{{+¦Fm)|{){)K}
z
z|}|{)qT«§«fas«qrmfz`z
qS¬SmpSo{)¹fF´S{)yFFÈKyFF{{0² «F{)K{)sz
{)ÉwD±V{0{)}K¯z3ÃooFf
²z|}
qSª«ÀqSFs®F{0= {)«Fk{)«b¾|¯+À
uvm)sqS{w}
xVs}
Ú
qSqSsª«aÛqt*m){)K«Fz
{0}|rqTz|É«F±V{)}
²`¬qSyF¾ÂxVs«{)}DFm){){)T{0}¤
z|oF{{vf«Vm0fm){)z"
|¤ {)
«z
}|yF
q+m)z|z|yFoF}
{){T}|¯X{Ã$oFF$qfFss{)qf{0²«z
tLq´qT}$¶T{)v{)txf
|z$z
qS}
FF«3wDz
{)oFw{0w?qS}
¤
{qS»}
m)xa{)sKyaz.ÄwDDxFoVsf{)|wo ¤ {)zpKfz"afsz
{*qftLIqT}yF
«FF{)IKz
z
ÉoF±V{{0}ÄqS}
sqKTqTV¶KyFsx-- ¯ £ tLyFw}|z
{0oFw {0} ¤
{0 ¸rz|m){){)FK|z
}|qSqT«qftÄz|oF }
{)S«F{qS¦Vfmsfz
{0f}psf|qz|qTmbfm"¯ oF{¦½ az
oFz
{{fm"«oFqfs«Ft3}
{){)Fq t
¶Ka{)s¸Ks{)z«b}
${0Tz|oFqT{)Vs[f}|z
{{)}"wfz
qfSqS{)¹«ª}|{)z|
q®ya}
}
{0Ú|m)¼)z
qT
wz
oFF{0{)w§Û:¯$
ÖIz"f²z|{§FfFz
«qz|z|oFoF{{
twDfm){)zIm"oVz
foVazÄ|w z|oF{)wD}w«F{){)«aK³z
Éz
±V{){)s}|}
«F{0m«fsFsqTzIz
oFm"{oVfqSFyFSz
{Tm)[qSwz|oF{D{3qfmtÄfm"z|oFoF{)F }
s¢z|{)
}z|s{)qKTm{0}ps.fs-z|}
{){ }p¤ xz
qTqT
ªz|qS¾Â²FoFF
m"o
z
w¹{0xFpDÀ0¯ oVT{+{){)¬}|{fm"oF{0«ªt ¤
í7Ë 6+ð F9Ñ 8 ð-Í F ð r
Ð F
½ë ¤ wqSyF{}F±V}|
zDqSs{)yF¸Kz
xVqT{)}|wfK{)fKzF
²vz{¹z|oVz|{)f
zz|{)q«t £Dz
oF¤{wÈK{yVfFsz¯¬Ã.qq¬tÄz|«aoF{ { ¤
±F{{§yFKÈKtÅyV}$szz
ªq
z
oF{ z
£DoF{ ¤ wµv{½ fu!FTfssTyFqS{}
qfz
t3oaw z|oF
{F
m0qS{ÄsyFz
zvqTqT&Fs
²`z
qS}|yF{0s«
z|z"q§fFqSm0xF{z
tLwD}
qSw¼0{xz
oFqT{Kz
«F
z|z|qªqT}|z|z
oFqT{)}¾¢m)¯{0{Tr¯z|`}
qST«a{0}ppfÀ)¯S{°¬|Èr{yfz
oa}
{0{)«®}
{"tM«aqT}
{ ¤
m0qSqTyFwz
xaxyFfz}
K¯ {0/+«ªyFqT
z
|o¢f
fs«VTqSf}
z"fz
oa{0wz
²vK{)¬}
{Iz
ToF{){F«F{0}p
fz|z|qT{)}|«z
fqT$4qftÄ-z|{)oFss{){) }
°&FoF«s{ £DqKqT¤ }|w{·{¾MfTFéSIéTéT²~À0vz
oFT{)S{)qTz
oaz|o {3z|f}
syFT{
qS}
Kz
yFoawwV{0}²`qf{0}
t`{:m)s¢yF
{)
«-{0 ¯
_
!"O4!="!;$"'<3$<#&2.*(,2" "#2#%.1#$
F&'C ,)" 3F(=;# "# .10 @*-< &2&2"'&
.1(=,)J4(=,%#'&$,)=",)>!. <*-6I.1#25-,)=;$&+(&)53=6( 9 B4< ,2< >!5-,)*) ,2.
+ J .53+,2&'C
0.00084
K-means
X-means
0.00082
m)s¢f
|{)
SéSSé éé
0.0008
distortion
0.00078
0.00076
0.00074
0.00072
£D]T¤-w,ª{é.F S Õ {)}
}|qT} ë ]éT¤é-w,{éF T Ô
Ô]/ÕTT-Õ- ,ª,=0.é FÔ']é' K-1,,4']éT]'é 0.0007
0.00068
108
80000
85000
90000
95000
100000
points
105000
110000
115000
120000
106
5-&2,2.#%,)5-.13 .10 9;$"'<3&<3B 9;$"<13=&:&)=.> 53=6
<
"#%<I6 "BM5-&2,2.#%,)5-.13 J "#/J .53+,'C"'&)(+*-,2& <#%" ,)="<
I"#%< 6I".10
#2(+3& .13 9 B+<I,2</>!5-,) @*-<I&2&2"'&'C
}"z|£ fqTF`+Sz|{ToF{]syaë {)-¤ wDtL£ qT{}-.fz
¾¢FoF|{){v{ Të ¤ }
wDT¢fyF{K}|fz
{FSoVÀ)f|¯ «qT½sKyFz|q¬z
z
{)qS}|
F{){
.z|}
m"a}
oT{vssrtLqfqS²v}3z
{)oF}v{z¾¢«Fwª|{z
z|fqToF } { ¤¤
z|Fqz
oFoF{
SToF}"{)f}
«FÈryVyfss²~z
qSsya²z
oFqTFm""o§À)¯Dë °¬¤ w{{w¹FÄf«Fz|«Fz
}|aFyF{)²z
{Dm)z
{)oF ¤
z|²}
qSz|o¹«az|oF{qTfF}
{m0f{ ¤ qS²Fsoa{)}
xF{
s¢z
m)oF{){0w{0r}
z{+qat.{){)F«F{)z
¢«-¯sVÃm){0oFrz|}
qSm)qS«aKz
}pyF|
{)z|«
K £D¤ wD{fa¯
IzFqT}
z|{0oFT{){}sKFz
{)}|z|{)oF
{ªz|az|}
yFÈK{4yF{)r|yaz
wqTV{)}IqoFtÆqf² m)s¢S
qK
qr{0«¦¯ ë ¤ wqT}{fm)FqSw ¤
xz|}
f}
{)+|qT«aª ¥[²v{)}|{{)Kyaz3
{)T«s¦ya{)Tfqf}
t¢£ rz´fqfFt «:£¹}
¤ {)wDxqT{}|fz
F
´z
²oF{oFm0mpqTo4K
±VSwyFxa}ps ¤
z|}"fqTF:S{²oFtLqS}mpo¦ë }
{)¤ w|yF{sz
f{)F«4²¦fz
oF{] {)
z £ µ`
½ `uf¯[aëoa{tLqTxV} {)£¹}|w¤ wD
|{fFFs{
²v{0}p{
fSyF{)
«¬{)«:}
{0z
oayF{sz
Téf{0}|{Èry¬fssà ¤«FFs
{¹z"fKzFT«¬fsyF«F{0{)Äz"fyasx{)«§z
q}|{)
£ yasz|¯+tMqT }¤
z|ë oF¤{ªw{éTé F¤ $m)s¢qSfyF|3z
xFmyafz
{:fm)}
qS{¦K±V SyF }pSz
yFqT}
{DÕa²¯oFmpÃooF{)v4²
oFz
oFqf²z
o f z
tM£¹}
qT¤ wwD{z|foFF{:I«Fz
}
qKya{){§VKyF{0z
wz
{0}3{)}qz|t3oFm)Äs¢f}||{)
{)x¯{)m)zD°¬¾Lf{§qTsya
zqª|!{){¬z
To{)f} z¤
z|z|{)qTF{qT«Fya«Fz
{0z|xFrq3yF¢qfz
z
Sw{)qT}VqS¤ À0{)}
¯{
|z
Ãm)w¹s¢oaf|{
z
{){}
{0z|
oFyF{3sz
Kz|yFoFfw{s|Kq¹yF{)}v|woFqfqftb²{)m)}s¢z|qfoV
t
f{0}|z {)[m)£¹qTf}|F¤ «FwD«{ ffs
F
q
z|F}
yFm0}
{ {£
{)Ff[F²«oFs{Äë S¤ {)wF{{)}"fFsbyFF||yV{)Ffs|sz|TyF{F«Fz
q{0} ¤ {)
¯ z|wfz|{)z|oF{
z|oF{ |sµ`S½ oru&z|s
ªm0qT«F}
É{¥[q{)}
t.{)z
Koaz{ÄxaqSyFm0z
z
xayFyF}|{ªz`m0fqT}
K|±V{)SyF²}poFz
{)qTa²`¯{:{)qS¸Fz
{fwDz
oaf{z
qSKyF} z
£¹ µv¤ wD½ uº{fF|m)qT}|T{T}
¢
fqKz|z
oFm"oFqKÄqT
´{0¹tfz|oF}{:m)qTVwD{)|xVzf}|m)qS
qTK±VSFyFqf}p²+z
¯ qT½
z|ya oVFTf«Fya{)}
}|£D{sK¤ wF²vI{f{
«FF
[{)z
{}|Fz|z
oVyFoFfz
z-qS}
+ë {)|²¤ xVwDoF{)m0{m"zfo+SaF²~yF
z.m0bqTyF}
s|
{0{)qv3«
qTFz
yFqSqz|zxVSqS{){)} FFtLs{)qT¹}"}|fwz|{`{)[z|z|z|z
oFoF{){{}
«fzpa¯bÃoaw+{Ä{0¸rxas³F{)«K}"fF«FqSw«F{)K¢fz|qTF$
O
P
iO
K-means
X-means
true
125000
P
104
102
100
output classes
0.00066
75000
98
96
94
92
90
88
86
0
5000
10000
15000
20000
points
25000
30000
35000
40000
*2'!" 3F(=;# "#.0 .(,)J+(,A@*-<I&2&2"& <I&A< 0(+3@,)5-.13 .10
534J+(, &)543'" 0 .#5'9 B4< ,2< > 5-,)76 ,)#2(="@*-<I&2&2"&<
I"#%< 6I"'B/.
I"%#
#%<3B+.I;E*4&6 "3="#%<I,2"'BB+<I,2<9&2"',2&'C
|zm0oFs³{
|«V{)f+z"z
oz|foVfzz|oFm{)}
yF{
{
m)z
zyz
fqss{}
{T{)¯ z
z| {)qT}+}Iw{)¸FqKf«FwD{0sxF{0«s{TFKz²vtMq§{)²`¾ÂqT{0}}
twD
fs|qTsf}|F{){¸KTÀz
s{m)}|s¢{)m0fws³|{)
sm)I{)¯ Km)sz
qT{0
}
{Xz
q²qToFam"{`o¹fF}
qS{Iz
oFmpoa{0}[qT
q{0§z|oFf{)zv+}pfxaFxF«F}
qTqfw:¸Kfw¹w¹z
{
I{)z|z
tÅ{)}}z
foDf
x{)z
{0{)}p«fz|{)« m0£DqTF¤ m)w{0}
{Ff{)F«-¯$ëI¤ w
oF{qff²F|m fs {)DSyFw}
{
yFm"ÔFo
ëz|oF¤w{F:m)}
qSyFwaÄx{)z²z
z
m)qS{ fIrtÅ
azI
tLzqS}Äfs¢}
Ts}|{´{xFf«a}
qS®Fsf{)m0wm){)s¯ {)}pz
qS{)z
« {
S¾MT{)éS}
|éTéTqTÀ0¯bq°&t oF£¹{)¤wDm0{qTfwFxf}
{0«¹«F{0f
Km)}|fF{)|«:z`V§T-{ {)s£Ds{0¤wf{F«§F¾¢qrz
oqSf}
{z
z|}
3qSm0«aqT.wfaxa«ÄyFz
xa{4m"¶«Fz
oazp{$Fwm){)F:w¹tM}
qTws¢À0
ë {)S¤ {)w}
{FxV[qStÅrz:}
{)-z
qºwyFfm"ss
om){){) z ¤¤
z|m0{)qT}w¯xaÖIs{0¬z
{)««V§zpSf|{)Az+
q{)m)t`qSqfFT«F{)
}+²SToFéF{)ê"}|éT{3éSz|é+}pfK«afs¢z|f¸KqTV{)sV룹¤¤ wwD{{fFF
m"µ oFqTqKz|qSo§
fFs®SqT}
wz|oFqSwF$²vé{)}|{+Tf
s{)yFzI{)yFxqftz
q£ x{)z|}qrtMqTqS}
¶w ÕT¨ ÕTyFÔS
¬zqS|{)Fm){+qTaz
«F{)}¤ ¯
B4z
PxFeqT}|QK¬qTCSPE¬}pQ.fwDefz|oFH w{
z"{)MIf«H=Tz|{SN qrefi z
F{)OV«3}"H fz|G z
q3G{fCaqSyaefFTC m)wH{+{0wDJ rz-qT
z"}
z
f{IoFS{I{·¹
xF¾Mz|fsoFF{z«¬KMIÆH=ë N¤ FwefqTi{z|OoFFH{)}G
S²sfqTV|yFsrxz|{){)}
}pqTz
}IqTVÀ0z
¯b{0Ã}
woa{Èrqyt.fsqTzz|+o qfµvt[½ z
uoF{fë F«¤ w«F{
z|FqT$}|z
|qTqTsbyF¯ z
qS
2.55
350
K-means
X-means
true
2.5
K-means
X-means
300
2.45
2.4
250
BIC
seconds
2.35
2.3
2.25
200
150
2.2
100
2.15
2.1
50
0
5000
10000
15000
20000
points
25000
30000
35000
40000
F .10 9;$"<13=& <13=B( 9;$"<13=&'C1
I"#%< 6I"
J "%#
J 1. 53+, 5-& &).>!3C$"'&)(+*-,2&!<1#%",)="<
"#%<I6 ":.0 ; (+*-,)5J+*-" #2(+3&H.13
9 B+<I,2<$>!5-,)6 @*-<I&2&2"&'C!!":*-<# "*),)#2(="$&2,2<13=B+& 0 .1# ,)"
&2@'.1#%" .0H,)" @"3+,)#%.15-B+& (=&2"'B,2.$6 "3"%#%<I,2",)" B+<I,2<+C
I
z|}
qTKxaz
or{)K}||{)
m0z|¹a«a qTw¹xFxFsbm¯ fz|/qTªT{0q t3¬ë «V¤ wDzp{f
a{)zfm)qS}
w|{)xqT
{0« z|oFq{ t
Kz|q§fs¢ff¸K|¶¬{)²oVfFf«z´z|oF{)}zK2¾ xF-êmSÀs$
m)qK¼)qS{}
«FqftÄVz
m){)syF`
z|qS{)F}{qf²vtqTryFss³«4¸Ks{0¶S{ ¯
°¬¡ {T|z"{)fss[{)m)lKz|¶K{)¹«lKz
yFoF}|{T{)F¬}|T¾|oKÔTz
Ô{)|Tz3ÀXK«Vffs¢z"fF¸K¯X{)ÃoF¬z
aoFxF{ yFzÃ|oF{)z{qlKtsqrx ¤
xaE}
qf¸Kªw¹:fTz|}|{)s«Á ¾ÂTz
éToFéa{¦êpéS}péTféDaT
{)¶K¬qqSt*Tz|¨"oF{)m){z| «Vzp²~:3f}|«a{KFqT«Fz{)«¬xa}
KqT¬xqTf} ¤
z|"fqTwDV{Äs[KyFwqT{)z|}o§qft¸KqSpTÀ0¨"¯`{)m)Ãz|oa¯{+ÖIm){)ss{foVm"o«m0f{)xFss.xF²}|qf¸Kz|o w fz|qS{)Ts3¨"{)z|m)oFz|{
²v}"f{:FS}p{ f £DF¤ wéTéS{éFIê Faz
éS{)é}"fbz|f{)F«º«:qfë T{)¤ }DwDz
{oFf{F|é¬{fT}|mpsoaya{)atLqT} z|oF£ {
qDt.m)z
oFsyF{|z
p{)}|w{I¾¢{)}pÈKfyFaTT{TfFs{)KFz|«sK}
S{)z
m)oFqS{+}
«F{0T«{0}pz
foFS{{}|m){)s
yFyF
sz|z|{)}a|¼0r{yaÀ)w¯ V{)}
ÃKÕToa{·,ÄSS{)]F}pTf{F«+m)sSyFÕT|'z
,${)}¦Ké
¼)`{¬m)fm)m)qSm)}
qS«F}
«FFIFz
q z|£Dqª¤ ëw¤{wDF{f¯òa°²oFfs{
ë z-¤-woV{f}|F«+vz
qIFTm)f{s«Vzfz|${tLz
}|oF{){){|z
{qw¹m"oFrqKyqTf|{ssrz
oF|²`{{vKz
yF{0wF«3{)z|}`qqt.{)m)ss{)yFT { ¤
z|«{)f}
z
I{tL}|qT|w!w¹
ss[²K«FyF{+w}p{)F}Tq{´t`²
xoF{){)}
m){ɱV£D{)« ¤ w£ {¯FÃoFmítÅfqTm)FzsDT²vf{)ss¤s
}|xa{ yFVz{)¯ m0½z
{)«4{¦}
sz
oF{){+¸KxV|w¹{0}
wss{){)}Kz|TF}
²¢foaa{)m)}
{+{+qfz|tvoFz
{oF}p{
Fë T¤ {IwDtLqS{f} F£ IqT²yFfz ¤
s¢²f}
T´{$wFqT}|«+{+z
FoaqS{$z
Km)yF{wFVs{0{}[qf¾LftFap«¬waxF«Fs{b{){)x«bqTKz
:-
z
woF{Dfs{sf"}|z
soF[
{"z"¥[fT{)m){0z
q{0«Ft3yF:m
z
m){)«b{)Kz
|Éq±Vm¦²`{}
{){)|¸K{fx}|{)mpm)oºzz|qSoFF{i z
qTya{3{)
´|{)}
{)m)z
ya{0F}
}
«Fz
Dq¬z
oF{0{ws{){|À0¯
½a¿yFzz|{)F}
wDm)}
§{fq
{0t¹¹}
yaz| Ƥ z|«FwT{Tf
Kzpë T¤ {wDf{faz
§oa{:KFyFqTwz¬V{0qS}3FsqtÄtÅxfqT|z
K{)z
}
z|FoFm0{)}
z|{mD
«V{)fz"f||{)wDz
¯s³}
Is¬z|ë q ¤ wz|oF{{fF²~+}|ºyF¬z:qfT«F{0qK}+{)¬z
oF
{
qtMyFtLqSss.}§«|fKzp ¤¤
o
O
/P
:&A,)"8&)(4# "& J+#%.I6#%"'&2&2"'&>!""IJ "'@,,)" 3F(=;# "#.10
6I<1*-<I5-"'& ,2.$6#%.1> &)5-613+5=@'<13+,)*4&FC
0
5000
10000
15000
20000
points
25000
30000
35000
40000
!(43+9,)5-;$"'&/.101 9 ;$"'<3&<13=B 9;$"'<3&'C-
"#%<I6 "
#2(43+9,)5-;$"'&:<#%":&)=.> 3A0 .1# FB 5-;$"3=&)5-.13=&E<3B7 @*-< &2&2"'&:.3<
9 3! "3+,)5(=;E9 MC
|z|{)}
qSz«aqfbtzp
qS¶Tw{)${ZSVéTqSéayFêpz4éSéT]éDvxVoFqSqSyFr}
z|ÆqT
F«lTVéTê"é éT¤ éSéoF¼}
{)¡|yFÇ sz
u:F:sxFm){)o F¤ ¯
sw
z$wtMs¢z
f{)} }£D}|yF¤ FwF{FfF
tLqSK}`TzqK²mfm)z|{
qTf}"sqTfF¬¯ Kz
qDoVf}|« ¤ m0qr«a{)«
½z|{)}
+F|Dwrs¢s³f}b¸K{0{0¸rx{)}|z
wDoa{)A{ Kbz`qS*uz|oF{wxVwxVqTf}| zpr{0z«F
z"oFf
ÉtL¶z+qlKt.yam)}
sTyF{0 ¤
wD£¹¾|¤ÔS¼)wDÔ{)T«¬{À*fFF²`yF{D¯zÃm)z|qT}p}pwDf«F«axVz
z|f}|qTqT{)VV«ªss ë £D¾¢¤aw¤ q§w{¶K{«FFz|F3}
{)f{z
KÀA}|f{0Fw«·|z3xFsé+{)wD«aoa {)¥[SK{)oFzp}|f{)s§z|KzqfqS§TxFfz
qs ¤¤t
ya|qT{)syFz|qt qS£F$²{)z
z²vo{)f{)s¬wTqSé
zfF«F«§{)KSz
éTméa¯ s µµvqS½ u&z
o
fm)qSsT}
qS{)}
Fz
z
oaoawqTyFStLqSoyFë F« ¤
wDz|{f
{a`}
m"m"oFoqS{)
{3ToK´zs¢fz|}
wDS{){)}TtÅfs
yFz|{){I}qfz|t oV£ f ¯£Dë ¤¤ ww{{FF¯ m)qTwDxFs{)z
{0«
vË Î Í
ÐIrÑ|Î Í
°¬z|oVf{Dz
oVFTm){DqS}
xFx}
qT{0}p
{)z
K{)z
D{0«Áw¦qK«FF{){)sX²
{)£Ds{)m)¤ z|wqT{b¯ F3µ f
f{0«F« qSxFz
sTFqT:}|z
foFFw «
{0{ »¸rz|m){)F{)«FKzÄF
z|qfz|sToFqS{+}
{)z
¸KoFz
wD{0rz´m$z
woVxFz}|qf}
Tya{)FwDF{)FKz
[zIz
q qTF£Dm)¤ {´wD{fm"aoF{fxVz${0}
z|½ z´oVfyF:
{)s´qKqT
xFzpFz
z|qfmSf{)s} s £ ¤ V²
{)z
«:o:m)z
}|oaz|{+{)}
±V¢¸K{)z|« q¤ wDw¹qrf«a¶S{){+s$sfqKsTmfqSs$}
«az
oF{)w:m) ¤ ¯
|z|qT{)F¯
Ç z
¸KoVxz3{)}
wwDf{)¸KKzpwfs[ɼ)}|{3{)
z|yaoFs{z|wqTqK«F{)qTs i z
oDxV
qSK
Kz|z
{)oF}
{0qTz
}m3xaf}
aqT«f}
F{fss ¤¤
s£¹ÉtL{¤ wD«V{fzpF|¯ oFqf²ºzx{)} tLqT}|wF
tÅ
z
{0}*F«{)z
z|{)}+z|oVf
Ãz|oFoa{{ªqTm"FoFs:qTm)xV{4qS
qf|taµ`s{D½ u qTF{Sf¯§:°&z
oF{4oFs
{xFs²vz
{z|aoV®T{
m0}
tMz
qT{)yF}|FqT« µ`½uÝaqTz
q z
xqSz
{)oF} tL{0qT}Ä}|w<m0}
z
²v{){)}|s¢sF[tLqT|}yFm"qSo·yF}z
{) |z ½ ¤ u
{)z|qTÆ} F«·¡ $xFxFw¹smfz|wqTfF¶T{Vya|{)
FF
{
sTqTqTz|}|oFz
{)oF}w¿f}
{f
z|¯ }pf½ FSm)orqTz }|tLxVqTqS}|²~}pz
}
F«b¯ z
oa{)
{
w{
yF}|{)Kz
qqSyF}
IFqTz|oF{)}¬«F}|{)m)z:{)¸Kz
{)F|qT :z
oF{fxFxasmz
qTºqt µ`½ u
" $#
ay¾ÂFqTF
}}
{)
|z
wD}|f|m0
s¢z
yF{)}wD« ¤ m)/+a}
3z
{0yFoV}
¢|T}
³À« z|wqÇ {0w«FV}
{0{)m)s}|Sz§
qToF4}|xbz|wSoFz
wqKoa«F{)¾Â
sF|Fm){{DfqS}| Fmp¤ oºs¢z
f}
m"K¶Kº¢sf|fs¢z À) ¤ ¯
°¬Ò qS}
¶
qKqT}
{z
À)oa¯vÖITF{0{Dm`·m)yas}
}
q{0rz
z|oFsF¶¦qfxFt`}|qTqSSz
oF}
{){)|}´+²~¾¢°ªKf|
z
{)q}|w¹m)qS ¤
«a
yF|m)yFzwz|oFxF{z|qT
{¾¢}
{Tm"¯o¯tLqS}|}{)w
qfwKqKF«Fv{)sm)S{){)KTz
{0}|¹qT«FyaFS«Ff{)b}I²vz
oF{)s{ sFf£¹¤ fwD«F«F{fFF
z|oF{)wÀ)¯
IsqT
aF3qqStÄyF«V}tÅzp
¤ z3xqTsKTz
qT}|fz
oFawDǻz
oa
qTz"yFf"z
f|Fz
«FmDfsqftfm)s¢ffs
K|
{)qftxw{)} s ¤ ¤
tMqTF}
swD{{)z
ǻqz|{)
z:fw¹|z
}|z
qTz|xF{)oK}Kqf
t+moFs`qSyFz|oF}
{)¯ÁqT}|uv{)3qSFya
{0ÈrFya{)KqSz
Fs
r{)í}|T²`f{§z|qSF}
{
z|:oVfz
zoF{
}
xV{+w
zya¯
mpoDI+s¢foF}
SK{)z
}{)«¬f|mfqfsT{+{Tz|òoVz
foF²v²`{)qS}
}
{+¶{0TqS{)xV}{0F+TfyFs¢x¬fFfs {
qS|yFxFm"xoqT}
{)z|FyF«aF{z:TqStL}
qS}Ư ¦s¢f}
S{m)s¢f
qft+fsTqS}
z
oawz
qª«¬
|«a {)qTVwVqSsssFKz
)z|²v}pqf{`t.z|a{)z
«!{)oa{){+«ë «Vz
f¤ qwDz"m)F{qS¯XfFÃa
oF«F{0qT}$!xVz
foFxyF{x!{)ÈK}yFoz|{0q¿f
z
tLqSqTqS3ayFs} q¤ t׫F{0z|wwoF{`xF{)a«a}
wDmqT{)Vs s ¤ s
«SéTféSzpaéTÀ-
fz|sz
soFsFqSSyFTT{vo4
TwFÉxa±Vsm{0f}ÆKz$sfSm)qTm)}|{0sz|{0oF}pwfz|DqT¾LF-v{)yFssx{)®z
q´Ò
{)S{)qKqT«F}
{S ¤
wD{+{)FK|z
qS{)}|F{)
¯ z|Fµ yF]z3°¬}
{{D"{)T{)4T{)
í{)StLqT{)}vz²`«Fqw}|{){af
|qTqTFF¯ {)aqTyFSo¬z
q
««a fwD}
zp| {)z¤ F¦|{)|w¹z
qSVf²fKsD z
o&}
F{)m0V qT{)¤ }
z«am)²vº{){)F{)Tm0{){ }|w «FsÈK|sm)yFqTxFFm"s¶K3saK{)F¯ «FlKF{)xV{)s«!sz
qT¢Ffz|q?sqrm0t*syas¢sf
qf¸Kz
² {0r}¤
¨ m0²yFqT
sz|qTz-o¹} z
¤ oF|}|xVf{)z
f{yam)}p{´
fyF
s[m"¶Ko
|m){){)qS¸FKTfz
¨"wD{)
m)xFz|z|s{)¯ [[fqTF+«²xFoa}|qTm"o+z|{)²v¹{Sf{)}
sb{vm0m)sqSyas
s¢z
{0V}
qSF}p¹fz|F}
{
xaz"lnf{)}
z|{"m)tLqTqS{0a}p«bfaK¾LstL{qS{)}`z|qs³oaawSo qK¤ ÔT«F«FÔS{)ÔTwsÀAz
{)oaF
{yF|m"qT oºV¡ f sr¹«K f§zp
µ A|S{)tÅfz
{)m)
z|¢qTzv}|{)v«¬FtL{)}
}
z{){)²vÈKxaqTyF}
}|{){0¶®|r{)z| s ¤
²«aoawDm"{)oDF|FqSqKV«Ff{sS«Fm)s|yFz
}
z|{)F}
yaz
¯$qTë F¤vwm{F{Ä$}|{)IxF
}|z|{){)
x{)Kz|z|qf{)²~«§K}
«F
$síqf²`tÅ{)
} z¤
Fa{)} ¤ sqrqSxtLqS}z
oF{0
{+{)¸Kx{)F|S{3fsSqT}
z|oFw¯
Í Î ð Ï ð 8 ð-Í F
°¬z|oF{+{
|z
zpoffz|F
¶ z
bms-}
}
tL:qTyF°ªa«Vff|z|
{)qS}|Fw¹qft$tLz|qToF}´K²vTqT}
s¶[y¯fFlnsyF{+xFoFx{0qTs}
x:zI²xF}
z
q o ¤
KÔ T«FÕS{) «´KrF+¯ Äl ¡I½ ²f}|«+z
qIF«F}|{)²®qrqS}
{Tì ¡ ¦l ¤
ð : ð ðbÍ ð
µ
moFcp'âqS"xbèTçaä¢uæLä ¯~TçF ¯¯ÄÖI¾|¸TtMÔSqTÔT}
T«-À0ì$¯ uvs³}
c {)a|«FáfàÄqTç cæ }|{)+
|ãf¯ Aå 1+V`FáTæM2æ cI)ç
µ }pz|³«Fss`{)KxVqTK¯[z
´l[¯tLVqSÒ } ¤rK{ff«bFK
m)¯VsyF¬|z
¯{)}|¾|FÔTVÔ ¯TÀ0
¯ %íâ^{"cI±VcIFaTäÂFçTèfå F% ¤
æ cvä )æ cIcçaOæ "çFæ c )çaáTæMä TçFáà Tç ocI9cçFIâ cS
ç :áT'â Fä¢ç c
c"+á )çFäÂçTè¾ÂxFxb¯fÔF nÔSÔTÀ)¯SqT}|rf *yKtLwfFb)laf }p ¤
R
VR
QR
)m |m)qVFuv
¯
¡ {)aFV|zp fam)¯{¤ ÒVf|{)«§qKqTs{}
{S}
F3F¯° ¯
¯I%¾
âIÔTc^ÔTcIaSSä¢À)çT¯èåA%ya
+sz|æ}
c {)|qTs yFc)z
à
)qSæO
"çFæ2cI)çFáSæLä TçFáàTä¢çaæSç
ocI9cçFâIc?Sç$)æMä $âä¢áfà"çFæ2c0à
+àä è fcynçFtLIâw¹c¬¾¢Fxabxb¯ ¯+ST ×STÔSÀ)¯¿lFf }"fFm0|m)qVìqT}
Kf
¡ yFâ"«áTFæMä 4 S+ç¯[áTÖ
ç a ¯b_VÒ¿Iâ cÓÄç c}
zbçFáfà ¯ Çå 䳯$å ¯ ¾
SqÔTTÕSoFTÀ)¯ °
ísáT{)æM2æ cIÒ )ç lKqTFàáå"¯ å ä Ç
z
K{0z
}{)K} ¬tÅf¯m0 {tL}
qS{)}Tm){0ssÅyF|Ó3z
{)¯ ¤ }|F¯fÒ !Iybs¢f" }|!
T{¯K¾
|xVÔSfÔTz|S³À)¯Ks«Vf«Vz"ffz"VfV
{)
{ ¯
âIcIcIaTä¢çSèfå %
#vä "å)æ$pçaæ2cI)çFáSæLä SçFáfàTç
Rc mcçFâIcQSç
á §äÂçFä¢çTèS¯ {)Fsq
% ç &và cIaè c('+äå)'â ")EcI áSç a*'+áSæL+
f}|¶[ì ½ ¯
+µ
T{)+|¢f¯
Ò z
{)|z$°ªtLqS}
F{0{)}
w¹
z|{)«boKK$x¯qTz
¾
oa{)ÔT
ÔT{)SÀ)f¯ a«3 z
X}
}
{ {)tLs¢{)f}
z|{0FqTm) { ¤
|ä¢â"oFáSxç z
_Vq
æMáTz
æMoaäå){*æLä¢lnâ"mpáoK.à ²få"}|å ¼Äâm0}
ä¢áTz
æM{)ä }|SçFqT b/"¯,0SV ÕTÕS)1 çFFáÕTàHÔT%a
¯ æOc gVcI-
-fuwxVVf. í{)«F|oFÉtLzlKyF}|T{)
oKz
z|xb3ì 2"2w¹ff
syb¯ f|z
}
q¯ yFz
qS}
qTKz|qV¯ m" 2&4Is . 2fsÉm)}
¯ or¾
z|wÔSÔ sM¯SÀ)¯
{)«Fs³|a
.{)}| zpf¯`z|¾|qTbÔTFÔSÔTÀ06¯
"5f7m"oKâyFä
c{)çFz|æ z
½ mFcIc
z| z|yFcp4á z
){IçFqfä¢tçSèTÃ.¯ {0mp¡ oaFqKm)qTz
sqTqSS}prs
¡ {)xV}
z|w{)Kzvqft.uvqTwDxFyFz|{)}~lnm){)Fm){T[uwF}
«FS{TT
¯
qrm)qSsyF}
|{Tz
{)
}|F¯F° yF¯-|¾
FÔSÔTwÔSÀ)yF¯$sz|ÜX}|{){)}
DqSstÅyFz
zqTwD¶K¸K« z
¤ yaz|}
}
{{)¤ {0w¯8qK%«F{)a&s ¤)VáSfçF|âI{)c)« å
ä¢ç c
áfà "ç 4og3áSæLä T#ç %Iâ c)å"å)ä¢çTè _ å)æ c\g´å d90:¾¢xFx-¯
[ r1 F KÔTÀ)¯-qT}|rf +fyKtLwfF-¯
IVK
m)âI scIyFcI´|aTz
¯bä¢{)çTÃ+}|èå/F¯$ª%Ò $wD; ÓÄ{) z
oF'=bqK<I «FV¯¯ AtL¾|qT}DÔSÔ
xVrÀ0¯z
¢fÇ sI»«Vm0fz"{0¬rzwDfaa«ªaV{"¥[:¯ {)m)
z|%S9{ -{)sáSsâ{)æ Ø@9¡ g¯Dc"áTÒ çnåAXqKä¢æOqTº}|{Tè Dc'3gV¯c¾Læ)S)ä¢éTâ éSéT9À)c">
¯ áfåTIçaä¢â"çTIâ èc)à c ¾¢|ÃáT{)æMä¢m"çToFè Fmc-?9s
Sí{){)}
xV|qSz}
Kzª uz| z
¤ auyFl }
S¤ éSobé ¤ éTS3À)¯¯ 4 uI}
sF
q{0T{T¯ s¢{)sFsqTs{¿ tLI}
qSFw ¤
BDCDCDEGFIHDH&JDJKJ,L-MDNLOMQPRGLIS&T"RH TDEUSDV&VKS&WH
Ãoa{*lnsqKf ¡ Sz"fs[lK¶K¹lKya}
T{0§¾
ÔTÔ TÀ)¯ JDJDJGL-N9TXNDNYLIZ&[DW ¯
°ªI
m)|m){){)}
ws{)}"ffbz
+{0«bX ¯TÇ Òº¸Ffm)zqKVqT}|{TT¸K
z
yF¯ }|¡{+{0FqK
«Fz{)sÇ ¯
z|½ wxFf}|z|{)
qS+¯ ²z
o
ÞoµvfF½ uvÓ3Ã+¯ì0%
{"w¹»fm)¶K{)}|K|zoF«VVfz"b. m)´syF¯|Iz
{)Ò }|aòÄrwDK{)Kz
oa¬qr«*¯tL¾
qT}-ÔSTÔT{)S}|À) ¯
s¢féT}|1 T[{T«VR rzpÀ)f¯ f
{0¯"
âIcIcIaTä¢çTèå Y\] _^`_a fb'&¾¢xFx-¯
NR
R
R
R
I
/
$R
© Copyright 2026 Paperzz