CS4248_Tutorial_6_ws
pdf
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School
National University of Singapore *
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Course
4248
Subject
Computer Science
Date
Nov 24, 2024
Type
Pages
3
Uploaded by Theslyjumpy08
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± ttXSRRSRRRpRqPtgbaabaaaa_0601K0 3934NQ3URMLLMLLajLJn$*3934NQ3U0601K00601K0IDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^
\WVVWVVVVVuTuxnnnooidccdccccda
nnnoo±OJIIJI^gIGkOJIIJI^gIGk„ feefeeeefcffgffffgd
4:454OR4V 0601K0IDCCCDXaCAeRMLLMLLajLJn3934NQ3UTONNONNNclNLpidccdccccda
IDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLpidccdccccda
]XWWXWWWWWvUvyv $*„ OJIIJI^gIGkXSRRSRRRpRqPtXSRRSRRRpRqPtMHGGGHG\eGEiIDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ nnnoo[VUUVUUUUUtStw ± RMLLMLLajLJn±kjjjjkgbaabaaaa_IDCCCDXaCAev idccdccccda
kjjjjkXSRRSRRRpRqPtgbaabaaaa_IDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ kjjjjk@FA@@@[U^@>b3934NQ3U IDCCCDXaCAeTONNONNNclNLpIDCCCDXaCAekjjjjkIDCCCDXaCAe±OJIIJI^gIGk 3934NQ3URMLLMLLajLJn$*3934NQ3U0601K00601K0IDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ 8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_ 3934NQ3U±,2,@FA@@@[U^@>b kjjjjkXSRRSRRRpRqPtMHGGGHG\eGEi3934NQ3UTONNONNNclNLp_ZYYZYYYYxWx{x
pglm`tujhA8cZ_`S uvki;
ijiiiij@FA@@@[U^@>b3934NQ3U idccdccccda
3934NQ3Ub]\\]\\\\{Z{~{nnnoo3934NQ3UTONNONNNclNLp,2,3934NQ3U
XSRRSRRRpRqPt8>89886SV86Z 3934NQ3URMLLMLLajLJn$*3934NQ3U0601K00601K0IDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ ttIDCCCDXaCAeOJIIJI^gIGkOJIIJI^gIGk $*3934NQ3U [VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt,2,3934NQ3Uidccdccccda
idccdccccda
3934NQ3U0601K0 $*„ kjjjjk@FA@@@[U^@>b3934NQ3U kjjjjkgbaabaaaa_±TONNONNNclNLpidccdccccda
8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_RMLLMLLajLJn3934NQ3Ugbaabaaaa_ ±gbaabaaaa_,2,@FA@@@[U^@>bIDCCCDXaCAekjjjjk3934NQ3U,2,kjjjjknnnoogbaabaaaa_3934NQ3U_ZYYZYYYYxWx{x ijiiiij@FA@@@[U^@>b3934NQ3U ,2,XSRRSRRRpRqPtgbaabaaaa_3934NQ3U XSRRSRRRpRqPt8>89886SV86Z kjjjjk@FA@@@[U^@>b3934NQ3U kjjjjkgbaabaaaa_±TONNONNNclNLpidccdccccda
8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_RMLLMLLajLJn3934NQ3Ugbaabaaaa_ IDCCCDXaCAeidccdccccda
kjjjjk@FA@@@[U^@>b3934NQ3U idccdccccda
3934NQ3UOJIIJI^gIGk8>89886SV86ZAGBAAA\V_A?c±kjjjjkkjjjjk3934NQ3UTONNONNNclNLpkjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp
RMLLMLLajLJn3934NQ3U,2,@FA@@@[U^@>b±TONNONNNclNLpIDCCCDXaCAeidccdccccda
RMLLMLLajLJn-3-D- 3934NQ3U±,2,@FA@@@[U^@>b ttXSRRSRRRpRqPtgbaabaaaa_0601K0 ±kjjjjkkjjjjk3934NQ3UTONNONNNclNLp0601K0idccdccccda
kjjjjkXSRRSRRRpRqPt kjjjjk@FA@@@[U^@>b3934NQ3U XSRRSRRRpRqPtkjjjjk@FA@@@[U^@>b3934NQ3Ugbaabaaaa_idccdccccda
_ZYYZYYYYxWx{x ss3934NQ3U @FA@@@[U^@>bXSRRSRRRpRqPt[VUUVUUUUUtStw3934NQ3U kjjjjk@FA@@@[U^@>b3934NQ3U idccdccccda
3934NQ3URMLLMLLajLJn±TONNONNNclNLpkjjjjkIDCCCDXaCAe,2, IDCCCDXaCAeTONNONNNclNLpkjjjjk3934NQ3Ugbaabaaaa_±,2,kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp $*3934NQ3Ukjjjjktt3934NQ3U3934NQ3UTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3U b]\\]\\\\{Z{~{nnnoo3934NQ3Uidccdccccda
kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp ±TONNONNNclNLp0601K0 kjjjjk@FA@@@[U^@>b3934NQ3U ,2,XSRRSRRRpRqPtTONNONNNclNLpkjjjjk3934NQ3Uvkjjjjk
ttIDCCCDXaCAeOJIIJI^gIGkOJIIJI^gIGk $*3934NQ3U ,2,±[VUUVUUUUUtStwkjjjjknnnoogbaabaaaa_3934NQ3U0601K0 $*„ kjjjjk@FA@@@[U^@>b3934NQ3U idccdccccda
3934NQ3UOJIIJI^gIGk8>89886SV86ZAGBAAA\V_A?c±kjjjjkkjjjjk3934NQ3UTONNONNNclNLpkjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp RMLLMLLajLJn3934NQ3U,2,@FA@@@[U^@>b±TONNONNNclNLpIDCCCDXaCAeidccdccccda
RMLLMLLajLJn_ZYYZYYYYxWx{x
pglm`tujhA8cZ_`S H?88;
ijiiiijtt3934NQ3UOJIIJI^gIGkqrr3934NQ3U OJIIJI^gIGk±„3934NQ3Ugbaabaaaa_idccdccccda
XSRRSRRRpRqPt8>89886SV86Z kjjjjkgbaabaaaa_±TONNONNNclNLpidccdccccda
8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_RMLLMLLajLJn3934NQ3Ugbaabaaaa_idccdccccda
±gbaabaaaa_3934NQ3U idccdccccda
kjjjjk±,2,MHGGGHG\eGEi3934NQ3U0601K0 kjjjjkXSRRSRRRpRqPt<B=<<WQZ<:^3934NQ3Ukjjjjk@FA@@@[U^@>b3934NQ3Ugbaabaaaa_.4.EI. ±TONNONNNclNLp0601K0
RMLLMLLajLJnXSRRSRRRpRqPtgbaabaaaa_3934NQ3U ±$*idccdccccda
kjjjjkgbaabaaaa_±,2,kjjjjk RMLLMLLajLJn3934NQ3U±TONNONNNclNLpIDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ IDCCCDXaCAeidccdccccda
,2,±[VUUVUUUUUtStwkjjjjknnnoogbaabaaaa_3934NQ3U0601K0 IDCCCDXaCAeTONNONNNclNLp @FA@@@[U^@>bIDCCCDXaCAe<B=<<WQZ<:^@FA@@@[U^@>b3934NQ3Ugbaabaaaa_ OJIIJI^gIGk±„3934NQ3Ugbaabaaaa_idccdccccda
\WVVWVVVVVuTux@FA@@@[U^@>bkjjjjkkjjjjk[VUUVUUUUUtStwidccdccccda
-3-D-gghgggghgghggggh±gbaabaaaa_vIDCCCDXaCAeqrr_ZYYZYYYYxWx{xXSRRSRRRpRqPtgbaabaaaa_<B=<<WQZ<:^gghggggh±$*idccdccccda
gghgggghYTSSTSSSqSrQuUPOOPOOdmOMq…UPOOPOOdmOMq_ZYYZYYYYxWx{x…:@:;:8UOX:8\UPOOPOOdmOMqllllm9?9:997TW97[]XWWXWWWWWvUvyv_ZYYZYYYYxWx{x
pglm`tujhA8cZ_`S G>77;
²8>89886SV86Zkjjjjk3934NQ3Ugbaabaaaa_ $*3934NQ3UIDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ [VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt,2,3934NQ3Uidccdccccda
idccdccccda
3934NQ3U0601K0
$*„ kjjjjktt3934NQ3UOJIIJI^gIGkqrr3934NQ3U OJIIJI^gIGk±„3934NQ3Ugbaabaaaa_idccdccccda
.4.EI. tt3934NQ3U ,2,XSRRSRRRpRqPtOJIIJI^gIGkOJIIJI^gIGk3934NQ3U,2,kjjjjk kjjjjk@FA@@@[U^@>b3934NQ3U ´TONNONNNclNLp±OJIIJI^gIGk ttXSRRSRRRpRqPtgbaabaaaa_0601K0 gbaabaaaa_3934NQ3U[VUUVUUUUUtStwgbaabaaaa_3934NQ3Uidccdccccda
3934NQ3UTONNONNNclNLpkjjjjk±kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp_ZYYZYYYYxWx{x ss3934NQ3U nnnooidccdccccda
3934NQ3U ± idccdccccda
IDCCCDXaCAeRMLLMLLajLJn[VUUVUUUUUtStwOJIIJI^gIGk3934NQ3U hcbbcbbbb`ijiiiij²fa``a````^ijiiiijgghggggh2823MP2SNMMNMMbkMKo/5/FJ/ ,2,OJIIJI^gIGk±idccdccccda
idccdccccda
IDCCCDXaCAe´3934NQ3Ugbaabaaaa_ kjjjjkXSRRSRRRpRqPt [VUUVUUUUUtStwgbaabaaaa_3934NQ3U0601K0IDCCCDXaCAe,2,kjjjjk kjjjjk@FA@@@[U^@>b3934NQ3U
[VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt$*±$*IDCCCDXaCAeOJIIJI^gIGkIDCCCDXaCAekjjjjk„ XSRRSRRRpRqPt8>89886SV86Z 3934NQ3U±,2,@FA@@@[U^@>b ttXSRRSRRRpRqPtgbaabaaaa_0601K0 $*3934NQ3UIDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ kjjjjk@FA@@@[U^@>b3934NQ3U idccdccccda
kjjjjk±gbaabaaaa_kjjjjkgghggggh3934NQ3UTONNONNNclNLp0601K0 XSRRSRRRpRqPt8>89886SV86Z kjjjjk@FA@@@[U^@>b3934NQ3U ±TONNONNNclNLpidccdccccda
tt3934NQ3Ugbaabaaaa_ idccdccccda
[VUUVUUUUUtStw±TONNONNNclNLp_ZYYZYYYYxWx{x
llllm_ZYYZYYYYxWx{x
ijiiiij@FA@@@[U^@>b3934NQ3U XSRRSRRRpRqPtnnnookjjjjk[VUUVUUUUUtStwnnnookjjjjk ±TONNONNNclNLpidccdccccda
tt3934NQ3Ugbaabaaaa_ idccdccccda
[VUUVUUUUUtStw±TONNONNNclNLp IDCCCDXaCAeidccdccccda
Ǵ/5/FJ/±TONNONNNclNLpIDCCCDXaCAe3934NQ3UOJIIJI^gIGk fa``a````^±0601K0,2,OJIIJI^gIGkIDCCCDXaCAe‰3934NQ3U ±TONNONNNclNLp0601K0 2823MP2RMLLMLLajLJnRMLLMLLajLJn± ss±kjjjjkidccdccccda
XSRRSRRRpRqPtTONNONNNclNLpǵ_ZYYZYYYYxWx{x ijiiiij@FA@@@[U^@>b3934NQ3U kjjjjkXSRRSRRRpRqPtMHGGGHG\eGEi3934NQ3UTONNONNNclNLp Ƕ/5/FJ/±TONNONNNclNLpIDCCCDXaCAe3934NQ3UOJIIJI^gIGkǷ @FA@@@[U^@>b±idccdccccda
kjjjjk@FA@@@[U^@>b3934NQ3U @FA@@@[U^@>bIDCCCDXaCAe<B=<<WQZ<:^@FA@@@[U^@>b3934NQ3Uidccdccccda
kjjjjk idccdccccda
kjjjjk±gbaabaaaa_kjjjjk [VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt$*±$*IDCCCDXaCAeOJIIJI^gIGkIDCCCDXaCAekjjjjk„
\WVVWVVVVVuTux…_ZYYZYYYYxWx{x4:454OR4V]XWWXWWWWWvUvyv ±TONNONNNclNLp0601K0 kjjjjk@FA@@@[U^@>b3934NQ3U kjjjjkXSRRSRRRpRqPtMHGGGHG\eGEi3934NQ3UTONNONNNclNLp Ƕss±kjjjjkidccdccccda
XSRRSRRRpRqPtTONNONNNclNLpǷ @FA@@@[U^@>b±idccdccccda
kjjjjk@FA@@@[U^@>b3934NQ3U @FA@@@[U^@>bIDCCCDXaCAe<B=<<WQZ<:^@FA@@@[U^@>b3934NQ3Uidccdccccda
kjjjjk 3934NQ3UTONNONNNclNLp0601K0 [VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt$*±$*IDCCCDXaCAeOJIIJI^gIGkIDCCCDXaCAekjjjjk„ \WVVWVVVVVuTux…_ZYYZYYYYxWx{x4:454OR4V]XWWXWWWWWvUvyv_ZYYZYYYYxWx{x
kkkkl_ZYYZYYYYxWx{x
2823MP2v±,2,kjjjjk RMLLMLLajLJn±kjjjjk,2,@FA@@@[U^@>b idccdccccda
,2,XSRRSRRRpRqPtgbaabaaaa_3934NQ3U IDCCCDXaCAeidccdccccda
…_ZYYZYYYYxWx{x ZUTTUTTTrTsRvgbaabaaaa_3934NQ3U,2,IDCCCDXaCAeidccdccccda
IDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp 5;565PS5W
TP
TP
+
FP
=
2
2
+
3
=
0.4
_ZYYZYYYYxWx{x fa``a````^3934NQ3U,2,±OJIIJI^gIGkOJIIJI^gIGk 5;565PS5W
TP
TP
+
FN
=
2
2
+
0
=
1
_ZYYZYYYYxWx{x 7=7875RU7YYTSSTSSSqSrQu idccdccccda
,2,XSRRSRRRpRqPtgbaabaaaa_3934NQ3U 5;565PS5W
2
*
prec
*
recall
prec
+
recall
=
2
*
0.4
*
1
0.4
+
1
=
0.571
:@:;:8UOX:8\_ZYYZYYYYxWx{x
WRQQRQQfoQOsTONNONNNclNLp3934NQ3U idccdccccda
kjjjjkgbaabaaaa_±IDCCCDXaCAe<B=<<WQZ<:^@FA@@@[U^@>bkjjjjk8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_tt±gbaabaaaa_0601K0 idccdccccda
XSRRSRRRpRqPtOJIIJI^gIGknnnookjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp IDCCCDXaCAeidccdccccda
kjjjjkXSRRSRRRpRqPt gbaabaaaa_3934NQ3UKFEEEFZcECg3934NQ3U,2,kjjjjk ±OJIIJI^gIGkOJIIJI^gIGk RMLLMLLajLJnXSRRSRRRpRqPt0601K03934NQ3UOJIIJI^gIGkǷidccdccccda
XSRRSRRRpRqPtnnnookjjjjk[VUUVUUUUUtStwnnnookjjjjk IDCCCDXaCAe8>89886SV86Z IDCCCDXaCAekjjjjkidccdccccda
,2,XSRRSRRRpRqPtTONNONNNclNLp´0601K03934NQ3UTONNONNNclNLp,2,3934NQ3U IDCCCDXaCAeidccdccccda
OJIIJI^gIGkXSRRSRRRpRqPttt3934NQ3Ugbaabaaaa_ kjjjjk@FA@@@[U^@>b±TONNONNNclNLp ± kjjjjk@FA@@@[U^@>bgbaabaaaa_3934NQ3Uidccdccccda
@FA@@@[U^@>bXSRRSRRRpRqPtOJIIJI^gIGk0601K0_ZYYZYYYYxWx{x ijiiiij@FA@@@[U^@>bIDCCCDXaCAeidccdccccda
IDCCCDXaCAe0601K03934NQ3U± $*3934NQ3UOJIIJI^gIGkXSRRSRRRpRqPtTONNONNNclNLp<B=<<WQZ<:^idccdccccda
kjjjjkXSRRSRRRpRqPt kjjjjk@FA@@@[U^@>b3934NQ3U 8>89886SV86Z±RMLLMLLajLJnIDCCCDXaCAeOJIIJI^gIGk„ XSRRSRRRpRqPt8>89886SV86Z QLKKLKK`iKIm±vZUTTUTTTrTsRvgbaabaaaa_XSRRSRRRpRqPt$* RMLLMLLajLJn3934NQ3Ukjjjjk@FA@@@[U^@>bXSRRSRRRpRqPt0601K0idccdccccda
.4.EI. idccdccccda
3934NQ3U3934NQ3U @FA@@@[U^@>b3934NQ3Ugbaabaaaa_3934NQ3U 8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_ RMLLMLLajLJnXSRRSRRRpRqPtgbaabaaaa_3934NQ3U @FA@@@[U^@>bkjjjjkkjjjjk[VUUVUUUUUtStwidccdccccda
-3-D-gghgggghgghggggh„IDCCCDXaCAeidccdccccda
XSRRSRRRpRqPtTONNONNNclNLp<B=<<WQZ<:^_ZYYZYYYYxWx{xRMLLMLLajLJn3934NQ3UgghgggghQLKKLKK`iKImNIHHHIH]fHFjZUTTUTTTrTsRvgghgggghRMLLMLLajLJn±v[VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt$*_ZYYZYYYYxWx{x[VUUVUUUUUtStw0601K08>89886SV86Z_ZYYZYYYYxWx{x
mllYZZ{kxx{x
ebbbg336nQLIIg88;sVAADAA|_±jjomjjom336nQQNNNljjomCFCC~aURRRprQNNNl NKKKi336nQ,,@@C@@{^±QNNNlCFCC~afccchOLLLj
MNNMo_oRSStdtst IJIIIJk[k33334UUkjj̢Ƿddcc
ddcc
kjjnno00001R„ kjj@@@A@bRb33334UU ddcc
33334UUIJIIIJk[k88889:ZZAAABAcSc±kjjkjj33334UUNOONp`pkjjCCDCCeUeRSStdtNOONp`p LMLMn^n33334UU,,,@@@A@bRb±NOONp`pCCDCCeUeddcc
LMLMn^n....E kjj@@@A@bRb33334UU ,,,RSStdtbbaa33334UU LMLMn^n33334UU,,,@@@A@bRb±NOONp`pCCDCCeUeddcc
LMLMn^n ±kjj kjj@@@A@bRb33334UU @@@A@bRb33334UU±bbaakjj RSStdt88889:ZZ kjj@@@A@bRb33334UU ##22223Taa`rjii LMLMn^nRSStdt00001R33334UUIJIIIJk[kYZZ{kxx{x jii@@@A@bRb33334UU
CCDCCeUeNOONp`pUVVwgttwnnokjj kjjRSStdt kjj@@@A@bRb33334UU ±kjjkjj33334UUNOONp`pkjjCCDCCeUeRSStdtNOONp`p LMLMn^nRSStdt00001RnnoIJIIIJk[k33334UU ,,,RSStdtNOONp`pddcc
CCDCCeUeddcc
kjjddcc
RSStdt88889:ZZ \]]\n{{~{nno33334UUbbaaCCDCCeUe33334UUddcc
±NOONp`p00001R GHGGGiYi33334UU„ddcc
RSStdt88889:ZZ kjj@@@A@bRb33334UU ddcc
CCDCCeUe»33334UU
d
k
±NOONp`p00001R qqr±IJIIIJk[knno33334UUddcc
RSStdt88889:ZZ kjj@@@A@bRb33334UU ddcc
CCDCCeUe»33334UU
d
v
YZZ{kxx{x
Attention
(
Q
,
K
,
V
) =
So f tmax
(
QK
T
√
d
k
)
V
VWWxhuuxSTTueuWXXyivvyv
BBBCBBdTdNOONp`p UVVwgttwbbaa±,,,kjjCCDCCeUe,,,33334UU....E st33334UU UVVwgttw±,,,GHGGGiYi kjj@@@A@bRb33334UU \]]\n{{~{nno33334UUbbaaCCDCCeUe33334UUddcc
....E GHGGGiYi33334UU„ddcc
....E ±NOONp`p00001R qqr±IJIIIJk[knno33334UUddcc
kjjRSStdt<<<=^^33334UUkjj@@@A@bRb33334UUbbaa CCDCCeUeNOONp`pkjjRSStdt LMLMn^n±kjjbbaaCCDCCeUe,,,33334UUddcc
Q
....E
K
....E ±NOONp`p00001R
V
±NOONp`p00001R ,,,RSStdtLMLMn^nUVVwgttwnnokjj33334UU kjj@@@A@bRb33334UU
LMLMn^n±kjjbbaaCCDCCeUev RSStdtnnokjjUVVwgttwnnokjjYZZ{kxx{x ² ddcc
UVVwgttw33334UU,,,CCDCCeUe´,,,
q
....E
k
....E ±NOONp`p00001R
v
±bbaa33334UU RSStdt$$kjj±CCDCCeUeNOONp`p33334UU00001R $$„ IJIIIJk[kRSStdtRSStdtGHGGGiYinnoUVVwgttw CCDCCeUeNOONp`pkjjRSStdt kjj@@@A@bRb33334UU bbaa33334UUddcc
UVVwgttw33334UU,,,kjjCCDCCeUeqqr33334UU st33334UUCCDCCeUe<<<=^^@@@A@bRbkjj LMLMn^n±kjjbbaaCCDCCeUe,,,33334UUddcc
YZZ{kxx{x
+++RSStdtNOONp`pddcc
CCDCCeUe00001R33334UUbbaa ±NOONp`p CCDCCeUeNOONp`pUVVwgttwnnokjj ddcc
33334UU\]]\n{{~{nno33334UUNOONp`p,,,33334UU RSStdt88889:ZZ IJIIIJk[k33334UUNOONp`p<<<=^^kjj@@@A@bRb gff
....E ,,,RSStdtbbaabbaa33334UUddcc
UVVwgttwRSStdtNOONp`p00001RCCDCCeUeNOONp`p<<<=^^ kjjRSStdt kjj@@@A@bRb33334UU CCDCCeUeNOONp`pUVVwgttwnnokjj )) ̡ǶBBBCBBdTd̢Ƿ....E ̡ǶIJIIIJk[kCCDCCeUeGHGGGiYi33334UU̢Ƿ....E ̡Ƕ???@?aa33334UUbbaaLMLMn^nCCDCCeUeRSStdtNOONp`p33334UU̢Ƿ....E ̡Ƕccbb@@@A@bRb33334UU̢Ƿ....E ̡ǶCCDCCeUeddcc
̢Ƿ....E
̡Ƕddcc
LMLMn^n±bbaakjj̢Ƿ***YZZ{kxx{x HIHHHjZj33334UUkjj̢Ƿddcc
±ddcc
ddcc
nnoLMLMn^n33334UU ± kjjRSStdt„ 33334UUv±LMLMn^nUVVwgttwIJIIIJk[k33334UU RSStdt88889:ZZ IJIIIJk[k33334UUNOONp`p<<<=^^kjj@@@A@bRb RSStdt88889:ZZ
d
k
=
2
±NOONp`p00001R st@@@A@bRb33334UUbbaa33334UU st33334UU @@@A@bRb±qqr33334UU kjj@@@A@bRb33334UU [\\}mzz}z ±NOONp`p00001R FGFFFhXh ±ddcc
88889:ZZRSStdtIJIIIJk[kIJIIIJk[kRSStdtstddcc
----D
Q
=
-
0.2
0.4
-
0.3
0.5
0.8
-
0.6
-
0.5
-
0.8
0.1
0.3
-
0.6
-
0.7
,
K
=
-
0.1
-
0.3
-
0.1
-
0.2
-
0.3
-
0.5
0.8
-
0.8
-
0.2
-
0.4
-
0.8
0.8
STTueuYZZ{kxx{x rrs@@@A@bRb±kjj CCDCCeUeddcc
kjj@@@A@bRb33334UU GHGGGiYi33334UU„ ddcc
kjjbbaa33334UUNOONp`p<<<=^^kjj@@@A@bRb RSStdt88889:ZZ ddcc
33334UUIJIIIJk[k88889:ZZAAABAcSc±kjjkjj33334UUNOONp`pkjjCCDCCeUeRSStdtNOONp`p ,,,RSStdtLMLMn^nUVVwgttw±bbaa33334UU00001R stCCDCCeUekjj@@@A@bRb aa`rMNNMo_oMNNMo_oddcc
stCCDCCeUekjj@@@A@bRbRSStdtnnokjj ±kjjkjj33334UUNOONp`pkjjCCDCCeUeRSStdtNOONp`p]^^]o|||
mllYZZ{kxx{x
rrs@@@A@bRb33334UUNOONp`p st33334UU \]]\n{{~{nno33334UUbbaa„ kjj@@@A@bRb33334UU stRSStdtbbaa00001R ̡ǶIJIIIJk[kCCDCCeUeGHGGGiYi33334UU̢Ƿ nnoddcc
CCDCCeUeNOONp`p<<<=^^ kjj@@@A@bRb33334UU \]]\n{{~{nno33334UUbbaa„ LMLMn^n±kjjbbaaCCDCCeUev
Q
±NOONp`p00001R GHGGGiYi33334UU„ LMLMn^n±kjjbbaaCCDCCeUev
K
....E st@@@A@bRb±kjj CCDCCeUeddcc
kjj@@@A@bRb33334UU bbaa33334UUddcc
nnoIJIIIJk[kkjj±NOONp`pkjj
stRSStdtbbaa00001R kjj@@@A@bRb±kjj CCDCCeUeddcc
$$33334UUCCDCCeUeNOONp`p<<<=^^ UVVwgttw±CCDCCeUe00001R kjj@@@A@bRb33334UU LMLMn^nRSStdtddcc
kjj ±kjjkjj33334UUNOONp`pkjjCCDCCeUeRSStdtNOONp`p kjjRSStdt]^^]o|||
lkkYZZ{kxx{x
rrs33334UU ,,,±NOONp`p UVVwgttwbbaaRSStdt$$33334UU kjj@@@A@bRb33334UU LMLMn^n±kjjbbaaCCDCCeUe,,,33334UUddcc
88889:ZZRSStdtbbaa nnoddcc
33334UU88889:ZZnnoIJIIIJk[k UVVwgttwbbaaRSStdtUVVwgttw33334UUbbaakjjCCDCCeUe33334UUddcc
YZZ{kxx{x ////FQRSStdt kjj@@@A@bRb33334UU st33334UUCCDCCeUe<<<=^^@@@A@bRbkjjddcc
ddcc
kjjRSStdtbbaa33334UU00001R CCDCCeUeNOONp`p
Q
±NOONp`p00001R
K
ddcc
@@@A@bRbRSStdtst ±NOONp`p„ ,,,±UVVwgttw±,,,CCDCCeUekjj„
88889:ZZRSStdtbbaa ,,,RSStdtbbaa33334UU88889:ZZ33334UUbbaa33334UUNOONp`p,,,33334UU bbaa33334UUddcc
RSStdtIJIIIJk[knnokjjCCDCCeUeRSStdtNOONp`p stCCDCCeUekjj@@@A@bRb bbaa33334UUddcc
UVVwgttw33334UU,,,kjj kjjRSStdt kjj@@@A@bRbCCDCCeUeddcc
CCDCCeUeNOONp`pUVVwgttwnnokjj ddcc
33334UU\]]\n{{~{nno33334UUNOONp`p,,,33334UU]^^]o|||
A•dZWXN,]S,olRHaWT]S<
YTSSTSSSqSrQu_ZYYZYYYYxWx{x
hcbbcbbbb`kjjjjk±TONNONNNclNLp0601K0±gbaabaaaa_0601K0 fa``a````^SNMMNMMbkMKoSNMMNMMbkMKo 0601K03934NQ3U,2,XSRRSRRRpRqPt0601K0IDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ IDCCCDXaCAeidccdccccda
[VUUVUUUUUtStw3934NQ3Ugbaabaaaa_8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_RMLLMLLajLJn3934NQ3U0601K0 OJIIJI^gIGk3934NQ3U8>89886SV86ZkjjjjkAGBAAA\V_A?ckjjjjkXSRRSRRRpRqPtAGBAAA\V_A?cgbaabaaaa_IDCCCDXaCAe<B=<<WQZ<:^@FA@@@[U^@>bkjjjjk kjjjjkXSRRSRRRpRqPt RMLLMLLajLJnXSRRSRRRpRqPt0601K03934NQ3UOJIIJI^gIGk 0601K03934NQ3U[VUUVUUUUUtStw3934NQ3UTONNONNNclNLp0601K03934NQ3UTONNONNNclNLp,2,IDCCCDXaCAe3934NQ3Uidccdccccda
±RMLLMLLajLJnXSRRSRRRpRqPtTONNONNNclNLp<B=<<WQZ<:^ ttXSRRSRRRpRqPtgbaabaaaa_0601K0idccdccccda
_ZYYZYYYYxWx{x #nnnookjjjjk idccdccccda
3934NQ3UOJIIJI^gIGk8>89886SV86ZAGBAAA\V_A?c±kjjjjkkjjjjk3934NQ3UTONNONNNclNLpkjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp kjjjjk±MHGGGHG\eGEi3934NQ3Uidccdccccda
kjjjjk@FA@@@[U^@>b3934NQ3U
tt@FA@@@[U^@>bXSRRSRRRpRqPtOJIIJI^gIGk3934NQ3U 3934NQ3UTONNONNNclNLp,2,XSRRSRRRpRqPt0601K03934NQ3U0601K0 idccdccccda
3934NQ3Ub]\\]\\\\{Z{~{nnnoo3934NQ3UTONNONNNclNLp,2,3934NQ3U ±idccdccccda
IDCCCDXaCAeTONNONNNclNLp[VUUVUUUUUtStwnnnookjjjjk ±TONNONNNclNLp0601K0 ±OJIIJI^gIGkOJIIJI^gIGkXSRRSRRRpRqPtttidccdccccda
kjjjjk@FA@@@[U^@>b3934NQ3U 0601K03934NQ3U,2,XSRRSRRRpRqPt0601K0IDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ [VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt,2,3934NQ3Uidccdccccda
idccdccccda
kjjjjkXSRRSRRRpRqPt 8>89886SV86ZXSRRSRRRpRqPt,2,nnnooidccdccccda
XSRRSRRRpRqPtTONNONNNclNLp ±gbaabaaaa_$*IDCCCDXaCAekjjjjkgbaabaaaa_±gbaabaaaa_„ [VUUVUUUUUtStw±gbaabaaaa_kjjjjkidccdccccda
TONNONNNclNLp3934NQ3U3934NQ3U0601K03934NQ3U0601K0 8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_ XSRRSRRRpRqPt[VUUVUUUUUtStwkjjjjkIDCCCDXaCAeRMLLMLLajLJn±OJIIJI^gIGk 0601K03934NQ3U,2,IDCCCDXaCAeidccdccccda
IDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp_ZYYZYYYYxWx{x
BHCBBB]W`B@dkjjjjk ±OJIIJI^gIGkidccdccccda
XSRRSRRRpRqPt ±OJIIJI^gIGkOJIIJI^gIGkXSRRSRRRpRqPtttidccdccccda
[VUUVUUUUUtStw±gbaabaaaa_±OJIIJI^gIGkOJIIJI^gIGk3934NQ3UOJIIJI^gIGkIDCCCDXaCAe»±kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp.4.EI. ±idccdccccda
,2,XSRRSRRRpRqPtRMLLMLLajLJn[VUUVUUUUUtStwnnnookjjjjk±kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp IDCCCDXaCAeidccdccccda
TONNONNNclNLpXSRRSRRRpRqPtkjjjjk idccdccccda
kjjjjkgbaabaaaa_IDCCCDXaCAe,2,kjjjjkOJIIJI^gIGk„ idccdccccda
3934NQ3Ugbaabaaaa_IDCCCDXaCAe±OJIIJI^gIGkOJIIJI^gIGk„ 0601K03934NQ3U[VUUVUUUUUtStw3934NQ3UTONNONNNclNLp0601K03934NQ3UTONNONNNclNLpkjjjjk ±idccdccccda
IDCCCDXaCAeTONNONNNclNLp idccdccccda
kjjjjk±TONNONNNclNLp0601K0±gbaabaaaa_0601K0 fa``a````^SNMMNMMbkMKoSNMMNMMbkMKoidccdccccda
_ZYYZYYYYxWx{x ZUTTUTTTrTsRv±gbaabaaaa_±OJIIJI^gIGkOJIIJI^gIGk3934NQ3UOJIIJI^gIGkIDCCCDXaCAe»±kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp IDCCCDXaCAeidccdccccda
3934NQ3Uidccdccccda
[VUUVUUUUUtStw3934NQ3U,2,IDCCCDXaCAe±OJIIJI^gIGkOJIIJI^gIGk„ nnnooidccdccccda
3934NQ3U8>89886SV86ZnnnooOJIIJI^gIGk tt@FA@@@[U^@>b3934NQ3UTONNONNNclNLp RMLLMLLajLJnnnnooOJIIJI^gIGkkjjjjkIDCCCDXaCAeAGBAAA\V_A?c@FA@@@[U^@>b3934NQ3U±0601K0 ±kjjjjkkjjjjk3934NQ3UTONNONNNclNLpkjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp \WVVWVVVVVuTuxIDCCCDXaCAe_ZYYZYYYYxWx{x3934NQ3U_ZYYZYYYYxWx{x.4.EI. RMLLMLLajLJnnnnooOJIIJI^gIGkkjjjjkIDCCCDXaCAe[VUUVUUUUUtStwOJIIJI^gIGk3934NQ3U idccdccccda
3934NQ3Ukjjjjkidccdccccda
XSRRSRRRpRqPt8>89886SV86Z a\[[\[[[[zYz}z.4.EI. LGFFFG[dFDh.4.EI. ppqq]XWWXWWWWWvUvyv IDCCCDXaCAeidccdccccda
nnnooidccdccccda
3934NQ3U0601K0 kjjjjkXSRRSRRRpRqPt ,2,±[VUUVUUUUUtStwkjjjjknnnoogbaabaaaa_3934NQ3U 0601K0IDCCCDXaCAe‰3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLpkjjjjk ±idccdccccda
[VUUVUUUUUtStw3934NQ3U,2,kjjjjkidccdccccda
XSRRSRRRpRqPt8>89886SV86Z kjjjjk@FA@@@[U^@>b3934NQ3U
IDCCCDXaCAeTONNONNNclNLp[VUUVUUUUUtStwnnnookjjjjk idccdccccda
3934NQ3Ub]\\]\\\\{Z{~{nnnoo3934NQ3UTONNONNNclNLp,2,3934NQ3U_ZYYZYYYYxWx{x ijiiiij@FA@@@[U^@>bIDCCCDXaCAeidccdccccda
OJIIJI^gIGk±idccdccccda
kjjjjk ±idccdccccda
[VUUVUUUUUtStw3934NQ3U,2,kjjjjk IDCCCDXaCAeidccdccccda
8>89886SV86Znnnoogbaabaaaa_kjjjjk@FA@@@[U^@>b3934NQ3Ugbaabaaaa_ 3934NQ3Uvkjjjjk3934NQ3UTONNONNNclNLp0601K03934NQ3U0601K0 IDCCCDXaCAeTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3U kjjjjkgbaabaaaa_±TONNONNNclNLpidccdccccda
8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_RMLLMLLajLJn3934NQ3Ugbaabaaaa_ RMLLMLLajLJnXSRRSRRRpRqPt0601K03934NQ3UOJIIJI^gIGk ±gbaabaaaa_,2,@FA@@@[U^@>bIDCCCDXaCAekjjjjk3934NQ3U,2,kjjjjknnnoogbaabaaaa_3934NQ3U _ZYYZYYYYxWx{x
QK
T
=
-
0.1
-
0.06
-
0.14
-
0.48
-
0.12
0.48
-
0.12
-
0.07
-
0.16
-
0.64
-
0.14
0.64
0.1
0.04
0.06
1.12
0.08
-
1.12
0.29
0.21
0.55
0.24
0.42
-
0.24
-
0.1
-
0.07
-
0.18
-
0.16
-
0.14
0.16
0.27
0.2
0.53
0.08
0.4
-
0.08
TUUvfsv±<<<=^^33334UU mll RSStdt88889:ZZ lkk
llllm_ZYYZYYYYxWx{x
ijiiiij@FA@@@[U^@>b3934NQ3U ttXSRRSRRRpRqPtgbaabaaaa_0601K0 Ƕidccdccccda
RMLLMLLajLJn±gbaabaaaa_kjjjjkǷ IDCCCDXaCAeidccdccccda
kjjjjk@FA@@@[U^@>b3934NQ3U XSRRSRRRpRqPtTONNONNNclNLp3934NQ3U $*3934NQ3UIDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ [VUUVUUUUUtStw±IDCCCDXaCAe0601K0 RMLLMLLajLJnXSRRSRRRpRqPtidccdccccda
kjjjjk ±kjjjjkkjjjjk3934NQ3UTONNONNNclNLpkjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp kjjjjkXSRRSRRRpRqPt tt@FA@@@[U^@>b3934NQ3UTONNONNNclNLp tt3934NQ3U b]\\]\\\\{Z{~{nnnoo3934NQ3Ugbaabaaaa_„ ǶOJIIJI^gIGkIDCCCDXaCAeMHGGGHG\eGEi3934NQ3UǷ_ZYYZYYYYxWx{x ss@FA@@@[U^@>b3934NQ3UTONNONNNclNLp tt3934NQ3U b]\\]\\\\{Z{~{nnnoo3934NQ3Ugbaabaaaa_„ kjjjjk@FA@@@[U^@>b3934NQ3U ttXSRRSRRRpRqPtgbaabaaaa_0601K0 ǶOJIIJI^gIGkIDCCCDXaCAeMHGGGHG\eGEi3934NQ3UǷ
±<B=<<WQZ<:^±IDCCCDXaCAeTONNONNNclNLpidccdccccda
kjjjjk ±OJIIJI^gIGkOJIIJI^gIGk MHGGGHG\eGEi3934NQ3U„idccdccccda
.4.EI. kjjjjk@FA@@@[U^@>b3934NQ3U 0601K0XSRRSRRRpRqPtkjjjjk [VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt0601K0nnnoo,2,kjjjjkidccdccccda
±gbaabaaaa_3934NQ3U idccdccccda
kjjjjkXSRRSRRRpRqPtgbaabaaaa_3934NQ3U0601K0 IDCCCDXaCAeTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3U idccdccccda
3934NQ3U,2,XSRRSRRRpRqPtTONNONNNclNLp0601K0 gbaabaaaa_XSRRSRRRpRqPttt IDCCCDXaCAeTONNONNNclNLp
QK
T
_ZYYZYYYYxWx{x ²idccdccccda
tt3934NQ3U ,2,±TONNONNNclNLp idccdccccda
3934NQ3U3934NQ3U IDCCCDXaCAeTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3U RMLLMLLajLJn±kjjjjkgbaabaaaa_IDCCCDXaCAev XSRRSRRRpRqPt8>89886SV86Z
QK
T
.4.EI.
QK
T
2,6
=
0.64
_ZYYZYYYYxWx{x BHCBBB]W`B@dkjjjjk IDCCCDXaCAeidccdccccda
kjjjjk@FA@@@[U^@>b3934NQ3U @FA@@@[U^@>bIDCCCDXaCAe<B=<<WQZ<:^@FA@@@[U^@>b3934NQ3Uidccdccccda
kjjjjk qrr±OJIIJI^gIGknnnoo3934NQ3U IDCCCDXaCAeTONNONNNclNLp
QK
T
2
_ZYYZYYYYxWx{x ijiiiij@FA@@@[U^@>b3934NQ3U ffgffffgd
kjjjjk@FA@@@[U^@>b ttXSRRSRRRpRqPtgbaabaaaa_0601K0 IDCCCDXaCAeidccdccccda
Ƕidccdccccda
RMLLMLLajLJn±gbaabaaaa_kjjjjkǷ_ZYYZYYYYxWx{x ppqqIDCCCDXaCAeidccdccccda
nnnoo±OJIIJI^gIGkIDCCCDXaCAe»±kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp 3934NQ3Uv±RMLLMLLajLJn[VUUVUUUUUtStwOJIIJI^gIGk3934NQ3Uidccdccccda
,2,±TONNONNNclNLp $*3934NQ3U 8>89886SV86ZXSRRSRRRpRqPtnnnooTONNONNNclNLp0601K0 @FA@@@[U^@>b3934NQ3Ugbaabaaaa_3934NQ3U-3-D-
@FA@@@[U^@>bkjjjjkkjjjjk[VUUVUUUUUtStwidccdccccda
-3-D-gghgggghgghgggghKFEEEFZcECg±OJIIJI^gIGk±RMLLMLLajLJnRMLLMLLajLJn±gbaabaaaa__ZYYZYYYYxWx{x<B=<<WQZ<:^IDCCCDXaCAekjjjjk@FA@@@[U^@>bnnnoo$*_ZYYZYYYYxWx{xIDCCCDXaCAeXSRRSRRRpRqPtgghgggghIDCCCDXaCAeOJIIJI^gIGkOJIIJI^gIGknnnooidccdccccda
kjjjjkgbaabaaaa_±kjjjjk3934NQ3U0601K0AGBAAA\V_A?ckjjjjkgbaabaaaa_±TONNONNNclNLpidccdccccda
8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_RMLLMLLajLJn3934NQ3Ugbaabaaaa_gghggggh
_ZYYZYYYYxWx{x
kkkkl_ZYYZYYYYxWx{x
w3934NQ3Uidccdccccda
_ZYYZYYYYxWx{x ijiiiij@FA@@@[U^@>b3934NQ3U [VUUVUUUUUtStw±gbaabaaaa_±RMLLMLLajLJn3934NQ3Ukjjjjk3934NQ3Ugbaabaaaa_idccdccccda
IDCCCDXaCAeTONNONNNclNLp
Q
±TONNONNNclNLp0601K0
K
3934NQ3Uv@FA@@@[U^@>bIDCCCDXaCAe$*IDCCCDXaCAekjjjjk ± <B=<<WQZ<:^XSRRSRRRpRqPtXSRRSRRRpRqPt0601K0 ,2,±[VUUVUUUUUtStw±,2,IDCCCDXaCAekjjjjk„ 8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_ ,2,XSRRSRRRpRqPtgbaabaaaa_3934NQ3U8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3U gbaabaaaa_3934NQ3Uidccdccccda
XSRRSRRRpRqPtOJIIJI^gIGknnnookjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp_ZYYZYYYYxWx{x BHCBBB]W`B@dTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3U IDCCCDXaCAeTONNONNNclNLp[VUUVUUUUUtStwnnnookjjjjk idccdccccda
3934NQ3Ub]\\]\\\\{Z{~{nnnoo3934NQ3UTONNONNNclNLp,2,3934NQ3U.4.EI. kjjjjk@FA@@@[U^@>b3934NQ3U kjjjjk@FA@@@[U^@>bIDCCCDXaCAegbaabaaaa_0601K0
kjjjjkXSRRSRRRpRqPtMHGGGHG\eGEi3934NQ3UTONNONNNclNLp Ƕ?E@??ZT]?=a3934NQ3Ugbaabaaaa_RMLLMLLajLJnIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp3934NQ3UǷ.4.EI. ±TONNONNNclNLp0601K0 kjjjjk@FA@@@[U^@>b3934NQ3U 8>89886SV86ZXSRRSRRRpRqPtnnnoogbaabaaaa_kjjjjk@FA@@@[U^@>b kjjjjkXSRRSRRRpRqPtMHGGGHG\eGEi3934NQ3UTONNONNNclNLp Ƕidccdccccda
@FA@@@[U^@>b3934NQ3UǷ ±gbaabaaaa_3934NQ3U ± [VUUVUUUUUtStw±IDCCCDXaCAegbaabaaaa_ XSRRSRRRpRqPt8>89886SV86Z ,2,XSRRSRRRpRqPtgbaabaaaa_3934NQ3U8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3U kjjjjkXSRRSRRRpRqPtMHGGGHG\eGEi3934NQ3UTONNONNNclNLpidccdccccda
_ZYYZYYYYxWx{x ss@FA@@@[U^@>b3934NQ3UTONNONNNclNLp tt3934NQ3U b]\\]\\\\{Z{~{nnnoo3934NQ3Ugbaabaaaa_„ Ƕ?E@??ZT]?=a3934NQ3Ugbaabaaaa_RMLLMLLajLJnIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp3934NQ3UǷ.4.EI. Ƕidccdccccda
@FA@@@[U^@>b3934NQ3UǷ 8>89886SV86Zgbaabaaaa_XSRRSRRRpRqPtRMLLMLLajLJn
K
@FA@@@[U^@>b±idccdccccda
kjjjjk@FA@@@[U^@>b3934NQ3U @FA@@@[U^@>bIDCCCDXaCAe<B=<<WQZ<:^@FA@@@[U^@>b3934NQ3Uidccdccccda
kjjjjk 0601K0XSRRSRRRpRqPtkjjjjk [VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt0601K0nnnoo,2,kjjjjk \WVVWVVVVVuTux
QK
T
3,4
=
1.12
]XWWXWWWWWvUvyv_ZYYZYYYYxWx{x ²kjjjjk kjjjjk@FA@@@[U^@>b3934NQ3U idccdccccda
±RMLLMLLajLJn3934NQ3U kjjjjkIDCCCDXaCAeRMLLMLLajLJn3934NQ3U.4.EI. tt@FA@@@[U^@>b3934NQ3UTONNONNNclNLp tt3934NQ3U b]\\]\\\\{Z{~{nnnoo3934NQ3Ugbaabaaaa_„ Ƕidccdccccda
@FA@@@[U^@>b3934NQ3UǷ.4.EI. Ƕ?E@??ZT]?=a3934NQ3Ugbaabaaaa_RMLLMLLajLJnIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp3934NQ3UǷ 8>89886SV86Zgbaabaaaa_XSRRSRRRpRqPtRMLLMLLajLJn
K
@FA@@@[U^@>b±idccdccccda
kjjjjk@FA@@@[U^@>b3934NQ3U
@FA@@@[U^@>bIDCCCDXaCAe<B=<<WQZ<:^@FA@@@[U^@>b3934NQ3Uidccdccccda
kjjjjk 0601K0XSRRSRRRpRqPtkjjjjk [VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt0601K0nnnoo,2,kjjjjk \WVVWVVVVVuTux
QK
T
4,3
=
0.55
]XWWXWWWWWvUvyv_ZYYZYYYYxWx{x
lkkYZZ{kxx{x
22mPvt±LIIgnsq±jjomCFCC~aURRRprQNNNl 88;sVURRRprdaaaf iiin336nQxvjjom ;;>;vY336nQQNNNl336nQdaaaf±jjomCFCC~aURRRprQNNNl
+++RSStdtNOONp`pddcc
CCDCCeUe00001R33334UUbbaa kjjstRSStdt @@@A@bRbnnoLMLMn^n±NOONp`p ddcc
nnoLMLMn^nLMLMn^n±bbaaCCDCCeUe33334UUddcc
y
1
....E
y
2
kjjRSStdt RSStdtNOONp`p33334UU ,,,@@@A@bRb±UVVwgttwkjj33334UUbbaa CCDCCeUeNOONp`p ???@?aa±bbaabbaa„ TUUvfsvRSStdtkjjkjj33334UUbbaa....E ±NOONp`p00001R kjj@@@A@bRb33334UU ddcc
nnoLMLMn^nLMLMn^n±bbaaCCDCCeUe33334UUddcc
<<<=^^33334UUNOONp`p33334UUbbaa±kjj33334UU00001R $$„
kjjstRSStdt NOONp`p±kjjnnobbaa±IJIIIJk[k IJIIIJk[k±NOONp`p<<<=^^±nno<<<=^^33334UU <<<=^^33334UUNOONp`p33334UUbbaa±kjjCCDCCeUeRSStdtNOONp`p LMLMn^nRSStdt00001R33334UUIJIIIJk[kddcc
ˆ
y
1
....E
ˆ
y
2
----D
dz
y
1
----D ccbbCCDCCeUebbaaCCDCCeUennoddcc
##IJIIIJk[k±,,,GHGGGiYi ±IJIIIJk[kst±„ddcc
UVVwgttwbbaaRSStdtkjj33334UU,,,kjjddcc
???@?aa±bbaabbaa„ TUUvfsvRSStdtkjjkjj33334UUbbaa ±<<<=^^±CCDCCeUeNOONp`pddcc
kjj kjj@@@A@bRb33334UU 00001R±bbaaGHGGGiYi IJIIIJk[kRSStdtbbaa00001RYZZ{kxx{x
dz
y
2
----D ccbbCCDCCeUebbaaCCDCCeUennoddcc
##IJIIIJk[k±,,,GHGGGiYi ddcc
@@@A@bRbCCDCCeUe33334UUIJIIIJk[k00001Rddcc
ddcc
33334UUqqr33334UUbbaa±IJIIIJk[k ±kjjkjj±,,,GHGGGiYiddcc
88889:ZZbbaaRSStdtLMLMn^n kjj@@@A@bRb33334UU HIHHHjZjRSStdtbbaa00001R ppqRSStdtIJIIIJk[k00001R33334UULMLMn^nRSStdtbbaakjj kjjRSStdt UVVwgttwbbaaRSStdtkjj33334UU,,,kjj ???@?aa±bbaabbaa„ TUUvfsvRSStdtkjjkjj33334UUbbaaYZZ{kxx{x
dz
ˆ
y
1
----D ???@?aa±bbaabbaa„ TUUvfsvRSStdtkjjkjj33334UUbbaa̢Ƿddcc
<<<=^^RSStdt00001R88889:ZZ±kjj@@@A@bRb33334UUbbaa 33334UUNOONp`pddcc
nnobbaa33334UUddcc
@@@A@bRbCCDCCeUeddcc
ddcc
±88889:ZZ33334UUkjj„ 88889:ZZbbaaRSStdtLMLMn^n kjj@@@A@bRb33334UU 00001R±bbaaGHGGGiYi IJIIIJk[kRSStdtbbaa00001RYZZ{kxx{x
dz
ˆ
y
2
----D ccbbCCDCCeUebbaaCCDCCeUennoddcc
##IJIIIJk[k±,,,GHGGGiYi stRSStdtbbaaGHGGGiYiddcc
stCCDCCeUekjj@@@A@bRb kjj@@@A@bRb33334UU 00001R±bbaaGHGGGiYi IJIIIJk[kRSStdtbbaa00001R kjjRSStdt UVVwgttwbbaaRSStdtkjj33334UU,,,kjj ???@?aa±bbaabbaa„ TUUvfsvRSStdtkjjkjj33334UUbbaaYZZ{kxx{x
MNNMo_oRSStdtst ,,,RSStdtNOONp`pddcc
CCDCCeUe00001R33334UUbbaa kjj@@@A@bRb33334UU 88889:ZZRSStdtIJIIIJk[kIJIIIJk[kRSStdtstCCDCCeUeNOONp`p<<<=^^ \]]\n{{~{nno33334UUddcc
kjjCCDCCeUeRSStdtNOONp`pddcc
----D
STTueuYZZ{kxx{x
##RSStdtkjj@@@A@bRb ##HIHHHjZj22223Tnmm ddcc
,,,RSStdtbbaa33334UU ±NOONp`p00001R aa`rQRRscsnmm;;;;<]]22223T ddcc
,,,RSStdtbbaa33334UUddcc
,,,±NOONp`p $$33334UU nnoddcc
33334UU00001R kjjRSStdt ±nnokjjRSStdtLMLMn^n±kjjCCDCCeUe,,,±IJIIIJk[kIJIIIJk[k„ 33334UUqqr±IJIIIJk[knno±kjj33334UU kjj33334UUvkjj <<<=^^33334UUNOONp`p33334UUbbaa±kjj33334UU00001R $$„
LMLMn^nRSStdt00001R33334UUIJIIIJk[kddcc
YZZ{kxx{x rrs@@@A@bRb±kjj CCDCCeUeddcc
kjj@@@A@bRb33334UU GHGGGiYi33334UU„ 00001RCCDCCeUe‰33334UUbbaa33334UUNOONp`p,,,33334UU $$33334UUkjjst33334UU33334UUNOONp`p kjj@@@A@bRb33334UULMLMn^n]^^]o|||
mllYZZ{kxx{x TUUvfsvIJIIIJk[k33334UU±ddcc
33334UU ,,,±IJIIIJk[k,,,nnoIJIIIJk[k±kjj33334UU kjj@@@A@bRb33334UU aa`rQRRscsnmm;;;;<]]22223TAAABAcScmll VWWxhuuxCCDCCeUeYZZ{kxx{x33334UUYZZ{kxx{x....E
n
=
2
....E ddcc
RSStdt $$CCDCCeUe<<<=^^bbaa±LMLMn^nWXXyivvyv ddcc
,,,RSStdtbbaa33334UU 88889:ZZRSStdtbbaa
ˆ
y
1
±NOONp`p00001R
ˆ
y
2
CCDCCeUeNOONp`p kjj@@@A@bRb33334UU ±$$RSStdtqqr33334UU 33334UUv±LMLMn^nUVVwgttwIJIIIJk[k33334UUYZZ{kxx{x
lkkYZZ{kxx{x
////FQRSStdt „RSStdtnno kjj@@@A@bRbCCDCCeUeNOONp`pGHGGGiYi kjj@@@A@bRb33334UU
ˆ
y
stCCDCCeUekjj@@@A@bRb kjj@@@A@bRb33334UU @@@A@bRbCCDCCeUe<<<=^^@@@A@bRb33334UUbbaa aa`rQRRscsnmm;;;;<]]22223T ddcc
,,,RSStdtbbaa33334UU ddcc
@@@A@bRbRSStdtnnoIJIIIJk[k00001R $$33334UU bbaa±NOONp`pGHGGGiYi33334UU00001R @@@A@bRbCCDCCeUe<<<=^^@@@A@bRb33334UUbbaa]^^]o||| DEDDfVfnnoddcc
kjjCCDCCeUe88889:ZZ„ „RSStdtnnobbaa bbaa33334UUddcc
UVVwgttwRSStdtNOONp`pddcc
33334UUYZZ{kxx{x
BBBCBBdTd88889:ZZ „RSStdtnno 00001RCCDCCeUeddcc
±<<<=^^bbaa33334UU33334UU....E 00001R33334UUddcc
,,,bbaaCCDCCeUe$$33334UU ±NOONp`p ±IJIIIJk[kkjj33334UUbbaaNOONp`p±kjjCCDCCeUeqqr33334UU LMLMn^n33334UUkjj@@@A@bRbRSStdt00001R kjj@@@A@bRb±kjj ,,,RSStdtnnoIJIIIJk[k00001R ,,,RSStdtbbaabbaa33334UU,,,kjj kjj@@@A@bRb33334UU UVVwgttwbbaaRSStdt$$IJIIIJk[k33334UULMLMn^nYZZ{kxx{x
A•dZWXN,]S,olRHaWT]S<
YTSSTSSSqSrQu_ZYYZYYYYxWx{x
#NIHHHIH]fHFj2823MP2mmmn idccdccccda
,2,XSRRSRRRpRqPtgbaabaaaa_3934NQ3U IDCCCDXaCAeidccdccccda
[VUUVUUUUUtStwgbaabaaaa_3934NQ3U,2,IDCCCDXaCAeidccdccccda
IDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLpAGBAAA\V_A?cXSRRSRRRpRqPtgbaabaaaa_IDCCCDXaCAe3934NQ3UTONNONNNclNLpkjjjjk3934NQ3U0601K0-3-D- IDCCCDXaCAekjjjjk RMLLMLLajLJn3934NQ3U±idccdccccda
nnnoogbaabaaaa_3934NQ3Uidccdccccda
@FA@@@[U^@>bXSRRSRRRpRqPttt RMLLMLLajLJnnnnoo,2,@FA@@@[U^@>b 0601K0XSRRSRRRpRqPt TONNONNNclNLpAGBAAA\V_A?c<B=<<WQZ<:^gbaabaaaa_±RMLLMLLajLJnidccdccccda
IDCCCDXaCAeTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3U RMLLMLLajLJnXSRRSRRRpRqPt0601K03934NQ3UOJIIJI^gIGkǷidccdccccda
<B=<<WQZ<:^3934NQ3UTONNONNNclNLp3934NQ3Ugbaabaaaa_±kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp ±[VUUVUUUUUtStw[VUUVUUUUUtStw3934NQ3U±gbaabaaaa_ IDCCCDXaCAeTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3U gbaabaaaa_3934NQ3U8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3U_ZYYZYYYYxWx{x
fa``a````^WRQQRQQfoQOsmmmn;A;<;;VPY;9]2823MP2 idccdccccda
,2,XSRRSRRRpRqPtgbaabaaaa_3934NQ3U IDCCCDXaCAeidccdccccda
gbaabaaaa_3934NQ3U,2,±OJIIJI^gIGkOJIIJI^gIGkAGBAAA\V_A?cXSRRSRRRpRqPtgbaabaaaa_IDCCCDXaCAe3934NQ3UTONNONNNclNLpkjjjjk3934NQ3U0601K0-3-D- IDCCCDXaCAekjjjjk RMLLMLLajLJn3934NQ3U±idccdccccda
nnnoogbaabaaaa_3934NQ3Uidccdccccda
@FA@@@[U^@>bXSRRSRRRpRqPttt RMLLMLLajLJnnnnoo,2,@FA@@@[U^@>b 0601K0XSRRSRRRpRqPt TONNONNNclNLpAGBAAA\V_A?c<B=<<WQZ<:^gbaabaaaa_±RMLLMLLajLJnidccdccccda
IDCCCDXaCAeTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3U gbaabaaaa_3934NQ3U8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3U ±[VUUVUUUUUtStw[VUUVUUUUUtStw3934NQ3U±gbaabaaaa_ IDCCCDXaCAeTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3U RMLLMLLajLJnXSRRSRRRpRqPt0601K03934NQ3UOJIIJI^gIGkǷidccdccccda
<B=<<WQZ<:^3934NQ3UTONNONNNclNLp3934NQ3Ugbaabaaaa_±kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp_ZYYZYYYYxWx{x
llllm_ZYYZYYYYxWx{x fa``a````^3934NQ3U8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3U
y
1
@FA@@@[U^@>b±idccdccccda
UPOOPOOdmOMq $*IDCCCDXaCAe<B=<<WQZ<:^gbaabaaaa_±RMLLMLLajLJnidccdccccda
_ZYYZYYYYxWx{x fa``a````^3934NQ3U8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3U
y
2
@FA@@@[U^@>b±idccdccccda
YTSSTSSSqSrQullllm $*IDCCCDXaCAe<B=<<WQZ<:^gbaabaaaa_±RMLLMLLajLJnidccdccccda
_ZYYZYYYYxWx{x
7=7875RU7YXSRRSRRRpRqPtgbaabaaaa_
ˆ
y
1
.4.EI. IDCCCDXaCAekjjjjk @FA@@@[U^@>b±idccdccccda
kkkkl $*IDCCCDXaCAe<B=<<WQZ<:^gbaabaaaa_±RMLLMLLajLJn XSRRSRRRpRqPtqrr3934NQ3Ugbaabaaaa_OJIIJI^gIGk±[VUUVUUUUUtStwidccdccccda
ttIDCCCDXaCAekjjjjk@FA@@@[U^@>b
y
1
\WVVWVVVVVuTuxǴ?E@??ZT]?=a±gbaabaaaa_gbaabaaaa_„ ZUTTUTTTrTsRvXSRRSRRRpRqPtkjjjjkkjjjjk3934NQ3Ugbaabaaaa_ǵ.4.EI. Ǵkjjjjk@FA@@@[U^@>b3934NQ3U 0601K0±gbaabaaaa_MHGGGHG\eGEiǵ.4.EI. Ǵ0601K0±gbaabaaaa_MHGGGHG\eGEi OJIIJI^gIGkXSRRSRRRpRqPtgbaabaaaa_0601K0ǵ]XWWXWWWWWvUvyv ±TONNONNNclNLp0601K0 llllm $*IDCCCDXaCAe<B=<<WQZ<:^gbaabaaaa_±RMLLMLLajLJn XSRRSRRRpRqPtqrr3934NQ3Ugbaabaaaa_OJIIJI^gIGk±[VUUVUUUUUtStw ttIDCCCDXaCAekjjjjk@FA@@@[U^@>b
y
2
\WVVWVVVVVuTuxǴ?E@??ZT]?=a±gbaabaaaa_gbaabaaaa_„ ZUTTUTTTrTsRvXSRRSRRRpRqPtkjjjjkkjjjjk3934NQ3Ugbaabaaaa_ǵ.4.EI. Ǵ8>89886SV86Zgbaabaaaa_XSRRSRRRpRqPtRMLLMLLajLJn kjjjjk@FA@@@[U^@>b3934NQ3Uǵ]XWWXWWWWWvUvyv_ZYYZYYYYxWx{x
ROUGE
-
2
=
3
+
2
9
+
12
=
0.24
7=7875RU7YXSRRSRRRpRqPtgbaabaaaa_
ˆ
y
2
.4.EI. IDCCCDXaCAekjjjjk @FA@@@[U^@>b±idccdccccda
:@:;:8UOX:8\ $*IDCCCDXaCAe<B=<<WQZ<:^gbaabaaaa_±RMLLMLLajLJn XSRRSRRRpRqPtqrr3934NQ3Ugbaabaaaa_OJIIJI^gIGk±[VUUVUUUUUtStwidccdccccda
ttIDCCCDXaCAekjjjjk@FA@@@[U^@>b
y
1
\WVVWVVVVVuTuxǴhcbbcbbbb`IDCCCDXaCAegbaabaaaa_IDCCCDXaCAennnooidccdccccda
#OJIIJI^gIGk±,2,MHGGGHG\eGEiǵ.4.EI. Ǵ?E@??ZT]?=a±gbaabaaaa_gbaabaaaa_„ ZUTTUTTTrTsRvXSRRSRRRpRqPtkjjjjkkjjjjk3934NQ3Ugbaabaaaa_ǵ.4.EI. Ǵkjjjjk@FA@@@[U^@>b3934NQ3U 0601K0±gbaabaaaa_MHGGGHG\eGEiǵ.4.EI. Ǵ0601K0±gbaabaaaa_MHGGGHG\eGEi OJIIJI^gIGkXSRRSRRRpRqPtgbaabaaaa_0601K0ǵ]XWWXWWWWWvUvyv ±TONNONNNclNLp0601K0 :@:;:8UOX:8\ $*IDCCCDXaCAe<B=<<WQZ<:^gbaabaaaa_±RMLLMLLajLJn XSRRSRRRpRqPtqrr3934NQ3Ugbaabaaaa_OJIIJI^gIGk±[VUUVUUUUUtStw
ttIDCCCDXaCAekjjjjk@FA@@@[U^@>b
y
2
\WVVWVVVVVuTuxǴhcbbcbbbb`IDCCCDXaCAegbaabaaaa_IDCCCDXaCAennnooidccdccccda
#OJIIJI^gIGk±,2,MHGGGHG\eGEiǵ.4.EI. ǴkjjjjkXSRRSRRRpRqPt [VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPtkjjjjk3934NQ3U,2,kjjjjkǵ.4.EI. Ǵ[VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPtkjjjjk3934NQ3U,2,kjjjjk ?E@??ZT]?=a±gbaabaaaa_gbaabaaaa_„ǵ.4.EI. Ǵ?E@??ZT]?=a±gbaabaaaa_gbaabaaaa_„ ZUTTUTTTrTsRvXSRRSRRRpRqPtkjjjjkkjjjjk3934NQ3Ugbaabaaaa_ǵ]XWWXWWWWWvUvyv_ZYYZYYYYxWx{x
ROUGE
-
2
=
4
+
4
9
+
12
=
0.38
kkkkl_ZYYZYYYYxWx{x
SNMMNMMbkMKoXSRRSRRRpRqPt_ZYYZYYYYxWx{x
ˆ
y
2
@FA@@@[U^@>b±idccdccccda
qrr3934NQ3Ugbaabaaaa_„ 0601K0IDCCCDXaCAe‰3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLpkjjjjk RMLLMLLajLJn3934NQ3U±TONNONNNclNLpIDCCCDXaCAeTONNONNNclNLp<B=<<WQZ<:^ ttIDCCCDXaCAekjjjjk@FA@@@[U^@>b gbaabaaaa_3934NQ3U8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3Uidccdccccda
y
1
±TONNONNNclNLp0601K0
y
2
_ZYYZYYYYxWx{x BHCBBB]W`B@dkjjjjk IDCCCDXaCAeidccdccccda
[VUUVUUUUUtStwXSRRSRRRpRqPtidccdccccda
idccdccccda
IDCCCDXaCAe$*OJIIJI^gIGk3934NQ3U kjjjjkXSRRSRRRpRqPt $*XSRRSRRRpRqPtgbaabaaaa_gbaabaaaa_XSRRSRRRpRqPttt kjjjjk@FA@@@[U^@>b3934NQ3U 0601K0IDCCCDXaCAeidccdccccda
kjjjjk±TONNONNNclNLpkjjjjk idccdccccda
nnnoo[VUUVUUUUUtStw3934NQ3Ugbaabaaaa_qrrIDCCCDXaCAeidccdccccda
IDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp 8>89886SV86Zgbaabaaaa_XSRRSRRRpRqPtRMLLMLLajLJn
TONNONNNclNLp±kjjjjknnnoogbaabaaaa_±OJIIJI^gIGk OJIIJI^gIGk±TONNONNNclNLp<B=<<WQZ<:^nnnoo±<B=<<WQZ<:^3934NQ3U IDCCCDXaCAeTONNONNNclNLp8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3U \WVVWVVVVVuTuxSNMMNMMbkMKoNIHHHIH]fHFjBHCBBB]W`B@d]XWWXWWWWWvUvyv RMLLMLLajLJnXSRRSRRRpRqPt0601K03934NQ3UOJIIJI^gIGk_ZYYZYYYYxWx{x /5/FJ/IDCCCDXaCAeidccdccccda
kjjjjk±TONNONNNclNLpkjjjjk idccdccccda
nnnoo[VUUVUUUUUtStw3934NQ3Ugbaabaaaa_qrrIDCCCDXaCAeidccdccccda
IDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp IDCCCDXaCAeidccdccccda
± ,2,XSRRSRRRpRqPtRMLLMLLajLJnRMLLMLLajLJnXSRRSRRRpRqPtTONNONNNclNLp ±[VUUVUUUUUtStw[VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPt±,2,@FA@@@[U^@>b IDCCCDXaCAeTONNONNNclNLp SNMMNMMbkMKoNIHHHIH]fHFjZUTTUTTTrTsRv_ZYYZYYYYxWx{x BHCBBB]W`B@dkjjjjk RMLLMLLajLJn3934NQ3U±TONNONNNclNLpidccdccccda
kjjjjk@FA@@@[U^@>b±kjjjjk tt@FA@@@[U^@>b3934NQ3UTONNONNNclNLp tt3934NQ3U
[VUUVUUUUUtStw3934NQ3Ugbaabaaaa_8>89886SV86ZXSRRSRRRpRqPtgbaabaaaa_RMLLMLLajLJn ijiiiij±idccdccccda
MHGGGHG\eGEi ².4.EI. tt3934NQ3U @FA@@@[U^@>b±qrr3934NQ3U ±,2,,2,3934NQ3Uidccdccccda
idccdccccda
kjjjjkXSRRSRRRpRqPt ±TONNONNNclNLpXSRRSRRRpRqPtkjjjjk@FA@@@[U^@>b3934NQ3Ugbaabaaaa_ QLKKLKK`iKImXSRRSRRRpRqPt0601K03934NQ3UOJIIJI^gIGk # XSRRSRRRpRqPtgbaabaaaa_ ±TONNONNNclNLpXSRRSRRRpRqPtkjjjjk@FA@@@[U^@>b3934NQ3Ugbaabaaaa_ 0601K0±kjjjjk±idccdccccda
3934NQ3Ukjjjjk /5/FJ/_ZYYZYYYYxWx{x BHCBBB]W`B@d8>89886SV86Z kjjjjk@FA@@@[U^@>b3934NQ3U IDCCCDXaCAeTONNONNNclNLp0601K0nnnoo,2,kjjjjkIDCCCDXaCAeqrr3934NQ3U $*IDCCCDXaCAe±idccdccccda
IDCCCDXaCAeTONNONNNclNLp RMLLMLLajLJnXSRRSRRRpRqPt0601K03934NQ3UOJIIJI^gIGk # XSRRSRRRpRqPtgbaabaaaa_ kjjjjk@FA@@@[U^@>b3934NQ3U
gbaabaaaa_3934NQ3Uidccdccccda
XSRRSRRRpRqPtnnnoogbaabaaaa_,2,3934NQ3U IDCCCDXaCAeTONNONNNclNLp 0601K0±kjjjjk±idccdccccda
3934NQ3Ukjjjjk /5/FJ/ ,2,±TONNONNNclNLp @FA@@@[U^@>b3934NQ3UOJIIJI^gIGk[VUUVUUUUUtStw kjjjjk±idccdccccda
MHGGGHG\eGEi ².4.EI. tt3934NQ3U ,2,±TONNONNNclNLp nnnooidccdccccda
3934NQ3U kjjjjk@FA@@@[U^@>b3934NQ3URMLLMLLajLJn ±idccdccccda
0601K0IDCCCDXaCAeidccdccccda
kjjjjk±TONNONNNclNLpkjjjjk idccdccccda
nnnoo[VUUVUUUUUtStw3934NQ3Ugbaabaaaa_qrrIDCCCDXaCAeidccdccccda
IDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp_ZYYZYYYYxWx{x
BHCBBB]W`B@dTONNONNNclNLp kjjjjk@FA@@@[U^@>bIDCCCDXaCAeidccdccccda
,2,±idccdccccda
3934NQ3U.4.EI. tt3934NQ3U 8>89886SV86Z3934NQ3U3934NQ3UOJIIJI^gIGk
ˆ
y
2
,2,XSRRSRRRpRqPtTONNONNNclNLpkjjjjkgbaabaaaa_±0601K0IDCCCDXaCAe,2,kjjjjkidccdccccda
ttIDCCCDXaCAekjjjjk@FA@@@[U^@>b kjjjjk@FA@@@[U^@>b3934NQ3U gbaabaaaa_3934NQ3U8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3U-3-D- kjjjjk@FA@@@[U^@>b3934NQ3U NIHHHIH]fHFjXSRRSRRRpRqPt±0601K0 ppqqXSRRSRRRpRqPtOJIIJI^gIGk0601K03934NQ3URMLLMLLajLJnXSRRSRRRpRqPtgbaabaaaa_kjjjjk ,2,±TONNONNNclNLpTONNONNNclNLpXSRRSRRRpRqPtkjjjjk
cZ_`Sofkl_`W\PtujhA8:tujh
±TONNONNNclNLp0601K0
+tujhtujh+:ULQE
?E@??ZT]?=a±gbaabaaaa_gbaabaaaa_„ ZUTTUTTTrTsRvXSRRSRRRpRqPtkjjjjkkjjjjk3934NQ3Ugbaabaaaa_
IDCCCDXaCAeTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3U idccdccccda
±RMLLMLLajLJn3934NQ3U kjjjjkIDCCCDXaCAeRMLLMLLajLJn3934NQ3U_ZYYZYYYYxWx{x ss3934NQ3U tt±TONNONNNclNLpkjjjjk kjjjjkXSRRSRRRpRqPt ,2,±OJIIJI^gIGkIDCCCDXaCAe$*gbaabaaaa_±kjjjjk3934NQ3U kjjjjk@FA@@@[U^@>b3934NQ3U fa``a````^WRQQRQQfoQOsmmmn;A;<;;VPY;9]2823MP2 idccdccccda
,2,XSRRSRRRpRqPtgbaabaaaa_3934NQ3U IDCCCDXaCAe8>89886SV86Z kjjjjk@FA@@@[U^@>b3934NQ3U RMLLMLLajLJnXSRRSRRRpRqPt0601K03934NQ3UOJIIJI^gIGkǷidccdccccda
<B=<<WQZ<:^3934NQ3UTONNONNNclNLp3934NQ3Ugbaabaaaa_±kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp ±TONNONNNclNLp0601K0 kjjjjk@FA@@@[U^@>b3934NQ3U <B=<<WQZ<:^gbaabaaaa_XSRRSRRRpRqPtnnnooTONNONNNclNLp0601K0 kjjjjkgbaabaaaa_nnnookjjjjk@FA@@@[U^@>b gbaabaaaa_3934NQ3U8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3U
,2,XSRRSRRRpRqPtTONNONNNclNLpkjjjjkgbaabaaaa_±0601K0IDCCCDXaCAe,2,kjjjjkidccdccccda
ttIDCCCDXaCAekjjjjk@FA@@@[U^@>b 3934NQ3U±,2,@FA@@@[U^@>b XSRRSRRRpRqPtkjjjjk@FA@@@[U^@>b3934NQ3Ugbaabaaaa__ZYYZYYYYxWx{x ss3934NQ3U MHGGGHG\eGEiTONNONNNclNLpXSRRSRRRpRqPttt kjjjjk@FA@@@[U^@>b±kjjjjk ,2,XSRRSRRRpRqPtTONNONNNclNLpkjjjjkgbaabaaaa_±0601K0IDCCCDXaCAe,2,kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp IDCCCDXaCAeidccdccccda
XSRRSRRRpRqPtTONNONNNclNLp3934NQ3U idccdccccda
3934NQ3UTONNONNNclNLpidccdccccda
3934NQ3U IDCCCDXaCAeTONNONNNclNLp SNMMNMMbkMKoNIHHHIH]fHFjBHCBBB]W`B@d kjjjjk±idccdccccda
MHGGGHG\eGEi_ZYYZYYYYxWx{x ss3934NQ3U ,2,±TONNONNNclNLp idccdccccda
3934NQ3Ukjjjjk kjjjjk@FA@@@[U^@>b3934NQ3U gbaabaaaa_3934NQ3U8>89886SV86Z3934NQ3Ugbaabaaaa_3934NQ3UTONNONNNclNLp,2,3934NQ3U
y
±idccdccccda
[VUUVUUUUUtStwgbaabaaaa_3934NQ3URMLLMLLajLJnIDCCCDXaCAeidccdccccda
3934NQ3U ±TONNONNNclNLp0601K0 kjjjjk@FA@@@[U^@>b3934NQ3U <B=<<WQZ<:^3934NQ3UTONNONNNclNLp3934NQ3Ugbaabaaaa_±kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp
ˆ
y
±idccdccccda
kjjjjk@FA@@@[U^@>b3934NQ3U @FA@@@[U^@>b„[VUUVUUUUUtStwXSRRSRRRpRqPtkjjjjk@FA@@@[U^@>b3934NQ3Uidccdccccda
IDCCCDXaCAeidccdccccda
_ZYYZYYYYxWx{x ss@FA@@@[U^@>b3934NQ3UTONNONNNclNLp kjjjjk@FA@@@[U^@>b3934NQ3Ugbaabaaaa_3934NQ3U IDCCCDXaCAeidccdccccda
± ,2,XSRRSRRRpRqPtTONNONNNclNLpkjjjjkgbaabaaaa_±0601K0IDCCCDXaCAe,2,kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp gbaabaaaa_3934NQ3UOJIIJI^gIGk±kjjjjkIDCCCDXaCAeXSRRSRRRpRqPtTONNONNNclNLp $*3934NQ3Ukjjjjktt3934NQ3U3934NQ3UTONNONNNclNLp
y
±TONNONNNclNLp0601K0
ˆ
y
IDCCCDXaCAeidccdccccda
[VUUVUUUUUtStwgbaabaaaa_3934NQ3U0601K0IDCCCDXaCAe,2,kjjjjk3934NQ3U0601K0.4.EI. tt3934NQ3U ,2,±TONNONNNclNLp ±0601K00601K0 ± [VUUVUUUUUtStw3934NQ3UTONNONNNclNLp±OJIIJI^gIGkkjjjjk„ kjjjjkXSRRSRRRpRqPt kjjjjk@FA@@@[U^@>b3934NQ3U fa``a````^WRQQRQQfoQOsmmmn;A;<;;VPY;9]2823MP2 idccdccccda
,2,XSRRSRRRpRqPtgbaabaaaa_3934NQ3U_ZYYZYYYYxWx{x 2823MP2v±RMLLMLLajLJn[VUUVUUUUUtStwOJIIJI^gIGk3934NQ3U $*3934NQ3Ukjjjjktt3934NQ3U3934NQ3UTONNONNNclNLp
y
1
±TONNONNNclNLp0601K0
ˆ
y
2
$*„ ± fa``a````^XSRRSRRRpRqPt#2823MP2fa``a````^ijiiiij±AGBAAA\V_A?c$*±idccdccccda
3934NQ3U0601K0 SNMMNMMbkMKoNIHHHIH]fHFjBHCBBB]W`B@d RMLLMLLajLJnXSRRSRRRpRqPt0601K03934NQ3UOJIIJI^gIGk-3-D-
@FA@@@[U^@>bkjjjjkkjjjjk[VUUVUUUUUtStwidccdccccda
-3-D-gghgggghgghggggh0601K03934NQ3URMLLMLLajLJnXSRRSRRRpRqPt_ZYYZYYYYxWx{x±OJIIJI^gIGkOJIIJI^gIGk3934NQ3UTONNONNNclNLpTONNONNNclNLpOJIIJI^gIGk[VUUVUUUUUtStw_ZYYZYYYYxWx{xXSRRSRRRpRqPtgbaabaaaa_<B=<<WQZ<:^gghgggghkjjjjk3934NQ3Uvkjjjjknnnoo±OJIIJI^gIGkAGBAAA\V_A?c3934NQ3UTONNONNNclNLpkjjjjk±IDCCCDXaCAeOJIIJI^gIGkRMLLMLLajLJn3934NQ3UTONNONNNclNLpkjjjjkgghgggghgbaabaaaa_XSRRSRRRpRqPt$*3934NQ3Ugbaabaaaa_kjjjjk±AGBAAA\V_A?cidccdccccda
TONNONNNclNLpOJIIJI^gIGkIDCCCDXaCAegghgggghidccdccccda
gghgggghidccdccccda
IDCCCDXaCAegbaabaaaa_IDCCCDXaCAennnooidccdccccda
AGBAAA\V_A?c$*OJIIJI^gIGk±,2,MHGGGHG\eGEiAGBAAA\V_A?c±OJIIJI^gIGktt±„idccdccccda
AGBAAA\V_A?c[VUUVUUUUUtStwgbaabaaaa_XSRRSRRRpRqPtkjjjjk3934NQ3U,2,kjjjjkidccdccccda
AGBAAA\V_A?cOJIIJI^gIGkXSRRSRRRpRqPtgbaabaaaa_0601K0gghggggh/5/FJ/…SNMMNMMbkMKoYTSSTSSSqSrQuhcbbcbbbb`kkkkla\[[\[[[[zYz}zUPOOPOOdmOMq?E@??ZT]?=afeefeeeefc
_ZYYZYYYYxWx{x
TUUvfsv±<<<=^^33334UU lkk RSStdt88889:ZZ lkk
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