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< dgb]_ kdZaZgh qlh >HG @ Âą fhev e \ fe Âą Âą Âą Âą Q HG K ˜ 9 fhev e ˜ fhev Z \k_]h bhgh\ [m^_l 1 HGÂą 1: ˜ Q HGÂą ˜ ˜ Âą ˜ Âą

?keb d jZkl\hjm 1D+6 1D +6 ^h[Z\blv +&O lh ihqm\kl \m_lky aZiZo lmoeuo ybp ² h[jZam_lky + 6 Âą +6 + Âœ + 6n Âą

Hl\_l kfhljbl_ \ mq_[gbd_

> @>

@

+ 6 + 2 Âœ +6Âą + 2 +6 ˜ + 2 . ihkdhevdm \h^u hq_gv fgh]h lh __ dhgp_gljZ >+ 6@ ˜ >+ 2@

pby ihklhyggZ b .

>+6 @˜ >+ 2 @

AZ^Zqb d †

>+ 6@

Fgh]hhkgh\gZy dbkehlZ ²wlh dbkehlZ dhlhjZy ijb jZkl\hj_ gbb \ \h^_ ^Z_l [hevr_ h^gh]h ijhlhgZ fhe_dmeZ dbkehlu + 62 + 62 + 32 + 32 Âą )H 2+ Âœ )H 2+ 2+ )H 2+ Âœ )H 2+Âą Âą + 6 Âœ +6 + Âą +6 Âœ + 6 Âą Âą + 6L2 Âœ +6L2 + Âą Âą +6L2 Âœ 6L2 + Âą $O 2+ Âœ $O 2+ 2+ Âą $O 2+ Âœ $O 2+ 2+ Âą $O 2+ Âœ $O 2+

Âą

Hl\_l kfhljbl_ \ mq_[gbd_

Âą Âą ., >+6 @ >+ @ >+ 6@ .,, >+ @ >6 Âą@ >+6 @ ., >)H 2+ @ >+ @ >)H 2+ @ .,, >)H @ >2+Âą@ >)H 2+ @ ., >+6L2 Âą@ >+ @ >+ 6L2 Âą@ .,, >+ @ >6L2 Âą@ >+6L2 Âą@ ., >$O 2+ @ >2+Âą@ >$O 2+ @ .,, >$O 2+ @ >2+Âą@ >$O 2+ @

Kbem we_dljheblZ fh`gh hij_^_eblv ih dhgklZgl_ ^bkkhpbZ pbb Q_f [hevr_ dhgklZglZ ^bkkhpbZpbb l_f kbevg__ we_dljhebl

Hl\_l kfhljbl_ \ mq_[gbd_

we_dljhebl &D 2+ + 62 .+62 1D 62 +&O

bhgu >&D @ >2+±@ >+ @ ! >62 ±@ >. @ >+ @ >62 ±@ >1D @ ! >62 ±@ >+ @ >&O±@

>ey \k_o lj_o dbkehl ih^oh^bl aZibkv +Q5 Q+ 5Q± +12 + 12 ± Q + 6 + 6 ± Q + 32 + 32 ± Q Hl\_l kfhljbl_ \ mq_[gbd_

DZlbhgu Zgbhgu 1D

AZ^Zqb d †

&O± 1D&O

62 ± 1D 62

&2 ± 1D &2

Hl\_l kfhljbl_ \ mq_[gbd_

FZehjZkl\hjbfu_ \_s_kl\Z ² \_s_kl\Z iehoh jZkl\hjbfu_ \ \h^_ GZijbf_j KZKH $J&O < mjZ\g_gbyo we_dljheblbq_kdhc ^bkkhpbZpbb 1D2+ 1D&O &D&O &D 2+ +&O bkihevamxl agZd © ª ihlhfm qlh wlb \_s_kl\Z kbevgu_ we_dljheblu b j_Zdpby ^bkkhpbZpbb g_h[jZlbfZ

G_ ke_^m_l ijbgbfZlv \h \gbfZgb_ \hafh`ghklb \aZbfh^_c kl\by h^ghbf_gguo bhgh\ \ jZkl\hjZo we_dljheblh\ ihlhfm qlh hgb hllZedb\Zxlky hl ± hl ±

Ihegh_ bhggh_ mjZ\g_gb_ j_Zdpbb ² mjZ\g_gb_ \ dhlhjhf mdZaZgu \k_ bhgu khklZ\eyxsb_ \_s_kl\Z dhlhju_ j_Z]bjmxl KhdjZs_ggh_ bhggh_ mjZ\g_gb_ j_Zdpbb ² mjZ\g_gb_ \ dhlh jhf g_ mdZaZgu bhgu g_ ijbgbfZ\rb_ mqZklby \ j_Zdpbb

<_s_kl\Z kh^_j`Zsb_ dZj[hgZl bhgu 1D &2 0J&2 &D&2 Hl\_l kfhljbl_ \ mq_[gbd_

Kmsghklv j_Zdpbb g_cljZebaZpbb khklhbl \ lhf qlh h[jZam _lky keZ[h^bkkhpbbjmxs__ \_s_kl\h \h^Z G HG± G H %D&O + 62 %D62 p +&O %D &O± + 62 ± %D62 p + &O± %D 62 ± %D62 p 1D&O $J&O z j_Zdpby g_ b^_l . 62 %D 12 .12 %D62 p . 62 ± %D 12 ± . 12 ± %D62 p %D 62 ± %D62 p )H62 1D2+ )H 2+ p 1D 62 )H 62 ± 1D 2+± )H 2+ p 1D 62 ± )H 2+± )H 2+ p +&O $J12 $J&Op +12 + &O± $J 12 ± $J&Op + 12 ± $J &O± $J&Op . &2 &D&O &D&2 p .&O . &2 ± &D &O± &D&2 p . &O± &D &2 ± &D&2 p &D 2+ )H&O &D&O )H 2+ p &D 2+± )H &O± )H 2+ p &D &O± )H 2+± )H 2+ p 1D&O . 62 z j_Zdpby g_ b^_l . &2 + 62 . 62 &2 n + 2 . &2 ± + 62 ± . 62 ± &2 + 2 + &2 ± + 2 &2 n

1D&O + 62 1D &O± + 62 ± 1D &O± + 62 ± <k_ bhgu khdjZsZxlky ke_^h\Zl_evgh j_Zdpby g_ b^_l

< jZa[Z\e_gguo jZkl\hjZo +&O g_ me_lZ_l Z \ dhgp_gljbjh \Zgguo \ul_kgy_lky k_jghc dbkehlhc

< j_Zdpbb &D&2 +&O &D&O &2 n + 2 g_jZkl\hjb fh_ \_s_kl\h ² KZKH ]Za ² KH KeZ[uc we_dljhebl ² G H J_ Zdpby g_h[jZlbfZ lZd dZd h[jZamxlky ]Za b keZ[uc we_dljhebl Ba kn_ju j_Zdpbb m^Zey_lky ]Za KH L J_Zdpby bhggh]h h[f_gZ ijhl_dZ_l ^h dhgpZ \ j_amevlZl_ h[jZah\Zgby ]ZaZ ijb keb\Zgbb jZkl\hjh\ dZj[hgZlZ gZljby b k_j ghc dbkehlu

L J_Zdpby bhggh]h h[f_gZ b^_l ^h dhgpZ f_`^m ]b^jhdkb^hf f_^b ,, b kheyghc dbkehlhc L Hl\_l kfhljbl_ \ mq_[gbd_

Ijb\_^_ggu_ \ wlhf iZjZ]jZn_ j_Zdpbb hlghkylky d lbim j_ Zdpbc h[f_gZ + 62 1D2+ 1D62 + 2 +&O &D 2+ &D&O + 2

L KhdjZs_ggh_ bhggh_ mjZ\g_gb_ j_Zdpbb khhl\_lkl\m_l \aZbfh^_ckl\bx jZkl\hjh\ gbljZlZ k_j_[jZ b oehjb^Z gZljby L Hl\_l kfhljbl_ \ mq_[gbd_ $J &O± $J&Op )H 2+± )H 2+ p

H^gh\j_f_ggh \ \h^ghf jZkl\hj_ fh]ml gZoh^blvky bhgu &D 1D 12 ± &O± Hl\_l kfhljbl_ \ mq_[gbd_

AZ^Zqb d †

DbkehlZ ² kh_^bg_gb_ ^bkkhpbbjmxs__ k h[jZah\Zgb_f G G H HljbpZl_evgh aZjy`_gguc bhg h[jZamxsbcky ijb ^bkkhpbZ pbb dbkehlu gZau\Z_lky dbkehlguf hklZldhf

?keb dbkehlZ ^bkkhpbbjm_l g_h[jZlbfh ² hgZ kbevgZy _keb h[jZlbfh ² keZ[Zy

Jy^ gZijy`_gbc f_lZeeh\ ² jy^ oZjZdl_jbamxsbc kbem k dhlhjhc f_lZee \ul_kgy_l G ba \h^u Ihkljh_g ih ijbgpbim kijZ \Z gZe_\h ih f_j_ m[u\Zgby kbeu \ul_kg_gby G kihkh[ghklb \hk klZgZ\eb\Zlv G &X2 + 62 ± &X 62 ± + 2 )H 2+ + &O± )H &O± + 2 %D &O± + 62 ± %D62 p + &O± &D &O± 1D &2 ± &D&2 p 1D &O± &D &O± . &2 ± &D&2 p . &O± + 62 ± &D 32 + 32 &D62 + 1D &O± 62 ± +&On 1D 62 ± $J 12 ± 1D &O± $J&Op 1D 12 ±

DZq_kl\_ggZy j_Zdpby oZjZdl_jgZy ^ey ^Zggh]h kh_^bg_gby ih g_c fh`gh hij_^_eblv _klv eb ^Zggh_ kh_^bg_gb_ \ jZkl\hj_ beb g_l KbevgZy dbkehlZ \ul_kgy_l keZ[mx ba __ kheb ihlhfm qlh \ j_amevlZl_ h[jZam_lky keZ[uc we_dljhebl keZ[Zy dbkehlZ + 12 ± )H2 )H 12 ± + 2 MjZ\g_gb_ j_Zdpbb + 2+± + 2 KmffZ dhwnnbpb_glh\ jZ\gZ [

DbkehlZ hkgh\ghc hdkb^ \h^Z khev &X2 + 62 &X62 + 2 )H 2 +12 )H 12 + 2 . 2 + 32 . 32 + 2

AZ^Zqb d †

Hkgh\Zgby ² \_s_kl\Z dhlhju_ ijb jZkl\hj_gbb h[jZamxl bhg HG± b iheh`bl_evgh aZjy`_ggu_ bhgu f_lZeeZ beb bhgu Zf fhgby 1+

S_ehqb ² hkgh\Zgby jZkl\hjbfu_ \ \h^_ Ijbf_j .2+ 5E2+ &V2+

>bkkhpbZpby ]b^jhdkb^Z Zffhgby h[jZlbfZ 1+ + 2 1+ 2+±

Ihemq_gb_ dZmklbq_kdhc kh^u &D 2+ 1D &2 &D&2 p 1D2+ &D &2 ± &D&2 p

7 S_ehqb g_ j_Z]bjmxl k hkgh\gufb hdkb^Zfb \

Z 1D 2+± 62 1D 62 ± + 2 62 2+± + 2 62 ± [ %D 2+± 1 2 %D 12 ± + 2 1 2 2+± 12 ± + 2 \ )H &O± 2+± . )H 2+ p . &O± )H 2+± )H 2+ p

AZ^Zqb d †

Kheb ² \_s_kl\Z ijb jZkl\hj_gbb \ \h^_ ^Zxsb_ iheh`b l_evgh aZjy`_ggu_ bhgu f_lZeeZ beb Zffhgby 1+ b hljbpZ l_evgh aZjy`_ggu_ bhgu dbkehlguo hklZldh\ %D &O± . 62 ± %D62 p . &O± %D 62 ± %D62 p [ 62 ± %D %D62 p \ )H &2 ± )H&2 p

7 Ih\Zj_ggZy khev \ \h^ghf jZkl\hj_ j_Z]bjm_l k $J12 \ <aZbfh^_ckl\b_ f_`^m kheyfb %D &O± 1D 62 ± %D62 p 1D &O± %D 62 ± %D62 $J 12 ± 1D &O± $J&Op 1D 12 ± $J &O± $J&O 7 ] fhev

L Hl\_l kf \ mq_[gbd_

=E:<: AZ^Zqb d † Z

1D

0J

V

V

S

V

V

V

S

V

V

S

GZ \g_rg_f we_dljhgghf keh_ ZlhfZ 1D gZoh^blky h^bg we_d ljhg Z m ZlhfZ 0J ² ^\Z ke_^h\Zl_evgh hl ZlhfZ 1D e_]q_ hlh j\Zlv we_dljhg q_f hl ZlhfZ 0J [

3

6

V V

V

S

V V

S S

DZd \b^gh ba jbk hl ZlhfZ nhknhjZ e_]q_ hlhj\Zlv we_d ljhg q_f hl ZlhfZ k_ju Hl\_l kfhljbl_ \ mq_[gbd_

J_Zdpby ^_fhgkljbjmxsZy \ukhdmx Zdlb\ghklv 1D 1D &O 1D&O

J_Zdpby ^_fhgkljbjmxsZy \ukhdmx g_f_lZeebq_kdmx Zdlb\ ghklv oehjZ Wƒ &O )H )H&O Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

/L) ² bhggh_ kh_^bg_gb_ h[jZah\Zggh_ we_f_glZfb \lhjh]h i_jbh^Z

5 1D ! 5 0J l d m 0J [hevr_ aZjy^ y^jZ b [hevr_ qbkeh we_dljhgh\ ihwlhfm kbeZ \aZbfh^_ckl\by we_dljhgghc h[hehqdb k y^jhf [hevr_ ke_^h\Zl_evgh jZ^bmk f_gvr_ 5 3 ! 5 &O ² ZgZeh]bqgh < ]jmiiZo jZ^bmk Zlhfh\ m\_ebqb\Z_lky k\_jom \gba ihwlhfm 5 /L 5 1D 5 ) 5 &O

AZ^Zqb d †

Hl\_l kfhljbl_ \ mq_[gbd_ 1D 0J $O 6L 3 6 &O $U /L %H % & 1 2 ) 1H

> V V S @ > V V S @ > V V S @ > V V S @ > V V S @ > V V S @ > V V S @ > V V S @

V V V S V S V S V S V S V S

> V @ > V @ > V @ > V @ > V @ > V @ > V @ > V @

V V V S V S V S V S V S V S

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<Ze_glguc we_dljhg \ Zlhf_ 1D gZoh^blky gZ V :H

<Ze_glgu_ we_dljhgu \ Zlhf_ $O gZoh^blky gZ V b j :H

We_dljhgu \g_rg_]h mjh\gy \ ZlhfZo 6L 3 6 &O $U gZoh^ylky gZ j :H

< k\hbo kh_^bg_gbyo we_f_glu /L b D ijhy\eyxl \Ze_glghklv , Z KZ b <Z ² ,, Hl\_l kfhljbl_ \ mq_[gbd_

Bg_jlghklv we_f_glh\ 9,,, ]jmiiu aZdexqZ_lky \ aZ\_jr_g ghklb we_dljhgghc h[hehqdb

we_f_gl 6 3 6L 1 &O

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gbarZy \Ze_glghklv

0J ‡ [+ [‡ +

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3+

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‡‡ + [ ‡3‡ [ + \Ze_glghklv + ² , 3 ² ,,, ‡ [ +

+ [ ‡ + [ ‡&‡ [ + \Ze_glghklv + ² , & ² ,9 ‡ [ +

Hl\_l kfhljbl_ \ mq_[gbd_

6&O

[[ [ [ &O [ [[

[[ ‡‡ ‡6‡ [ &O [[ [[ ‡‡

AZ^Zqb d †

Hl\_l kfhljbl_ \ mq_[gbd_

Dhhi_jZpby hagZqZ_l h[t_^bg_gb_ q_]h eb[h

Dh\Ze_glgZy k\yav ² k\yav dhlhjZy h[jZam_lky f_`^m ZlhfZ fb g_f_lZeeh\ ijb g_ hq_gv kbevgh kf_s_gghc we_dljhgghc iehl ghklb f_`^m ZlhfZfb Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

3&O ² dh\Ze_glgZy &D6 ² bhggZy 1D 3 ² bhggZy 62 ² dh\Ze_glgZy ,KO ² dh\Ze_glgZy + 6 ² dh\Ze_glgZy 3 &O ± 1D 3 ± &D 6 ± 6 2 ± , &O ± + 6 ± Hl\_l kfhljbl_ \ mq_[gbd_

Z 1D &O ± 0J &O ± $O &O ± [ 1D 6 ± 0J 3 ± $O 6L ± Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

AZ^Zqb d †

Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

‡‡ 2+ ‡‡ 2‡ [ +

‡‡ 2+± ‡‡ 2 ‡‡ ‡ [ +

S_ehqb ² hkgh\Zgby jZkl\hjbfu_ \ \h^_

Kgb`_gb_ hljbpZl_evgh]h aZjy^Z gZ dbkehjh^_ \ ]b^jhdkb^Zo ijb\h^bl d h[e_]q_gbx hls_ie_gby bhgZ \h^hjh^Z ihlhfm qlh q_f f_gvr_ hljbpZl_evgh]h aZjy^Z gZ dbkehjh^_ l_f f_gvr_ ijbly`_ gb_ f_`^m gbf b ijhlhghf G ² iheh`bl_evguf aZjy^hf :fnheblZfb gZau\Zxlky we_dljheblu dhlhju_ fh]ml [ulv b dbkehlhc b hkgh\Zgb_f Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

K_jgZy dbkehlZ + 62 + 62 ± OehjgZy dbkehlZ +&O2 + &O2

>bkkhpbZpby k_jghc dbkehlu ijhbkoh^bl \ f_gvr_c kl_i_gb ih \lhjhc klmi_gb Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

Hl\_l kfhljbl_ \ mq_[gbd_

>ey ZffbZdZ 1+ + 2 1+ 2+ Ijbf_gyxl nhjfmeu hlebqZxsb_ky gZ h^gm fhe_dmem \h^u

J_Zdpbb ]b^jhdkb^Z Zexfbgby k dbkehlZfb b s_ehqZfb g_ h[jZlbfu ihlhfm qlh h[jZamxlky bhgu Z fhe_dmeu hlkmlkl\mxl g_h[jZlbfZy j_Zdpby

Hl\_l kfhljbl_ \ mq_[gbd_ Hdkb^ 1D 2 0J2 $O 2 6L2 3 2 62 &O 2

N_ghenlZe_bg Jhah\uc Jhah\uc Jhah\uc ;_kp\_lguc ;_kp\_lguc ;_kp\_lguc ;_kp\_lguc

EZdfmk Kbgbc Kbgbc Kbgbc DjZkguc DjZkguc DjZkguc DjZkguc

=b^jhdkb^ N_ghenlZe_bg G H 1D2+ Jhah\uc 0J 2+ Jhah\uc $O 2+ Jhah\uc + 6L2 ;_kp\_lguc + 32 ;_kp\_lguc + 62 ;_kp\_lguc +&O2 ;_kp\_lguc

<Ze_glghklv

<Ze_gl ghklv

F_lbehjZgl DjZkguc DjZkguc DjZkguc @_eluc @_eluc @_eluc @_eluc

EZdfmk

Kbgbc Kbgbc Kbgbc DjZkguc DjZkguc DjZkguc DjZkguc

1D 2 0J2 $O 2 6L2

3 2

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&O 2

1D2+ 0J 2+ $O 2+ + 6L2 + 32 + 62 +&O2

=E:<: AZ^Zqb d †

Hl\_l kfhljbl_ \ mq_[gbd_

L We_dljhggh_ kljh_gb_ \g_rg_]h wg_j]_lbq_kdh]h mjh\gy ZlhfZ 6 6 >1H@ V S Â&#x; V S D

< kh_^bg_gbyo k dbkehjh^hf k_jZ ijhy\ey_l iheh`bl_evgu_ kl_i_gb hdbke_gby lZd dZd m dbkehjh^Z [hevrZy we_dljhhljbpZ l_evghklv Hl\_l kfhljbl_ \ mq_[gbd_

Hdkb^ k_ju 9, ² 62 62 + 2 + 62

< [ulm bkihevamxlky ebfhggZy mdkmkgZy dbkehlZ GZ \dmk \k_ ijh[h\Zeb Zkdhj[bgh\mx dbkehlm Ijbjh^gu_ dbkehlu fmjZ\vb gZy kheygZy mdkmkgZy b l ^ Ihemq_gb_ k_jh\h^hjh^Z \ eZ[hjZlhjbb )H6 + 62 )H62 + 6n Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

L Hl\_l kfhljbl_ \ mq_[gbd_ L Hl\_l kfhljbl_ \ mq_[gbd_ L Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

L Hl\_l kfhljbl_ \ mq_[gbd_ L Hl\_l kfhljbl_ \ mq_[gbd_

Hl\_l kfhljbl_ \ mq_[gbd_

+ 6 2 6 + 2 + 6 ² \hkklZgh\bl_ev H ² hdbkebl_ev

L + 62 0+ 62 u ] fhev ] fhev 0U 6

Z+ 62 6 0U + 62 Hl\_l [

Ijbf_j kbgl_a ZffbZdZ ² 1 + l 1+ Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

AZ^Zqb d †

J_Zdpby kh_^bg_gby 62 2 o 62 J_Zdpby jZaeh`_gby 62 o 62 2

Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

+ 2 l + 2 4 1 2 l 1 2 4 Z ^ey i_j\hc b \lhjhc j_Zdpbc jZ\gh\_kby kf_klylky \ijZ\h l d j_Zdpby khijh\h`^Z_lky mf_gvr_gb_f h[t_fZ [ ^ey h[_bo j_Zdpbc \e_\h l d wlh j_Zdpbb wdahl_jfbq_kdb_ b jZ\gh\_kb_ kf_sZ_lky \ klhjhgm wg^hl_jfbq_kdhc j_Zdpbb Hl\_l kfhljbl_ \ mq_[gbd_

6 b )H6 6 2 62 4 )H6 2 )H 2 62 n 4 Ijb k`b]Zgbb fhev ibjblZ h[jZamxlky fhev 62 b fhev )H 2 ihwlhfm 4 ! 4 Hl\_l kfhljbl_ \ mq_[gbd_

L_fi_jZlmjZ ijb dhlhjhc hdbke_gb_ 62 \ 62 [m^_l b^lb k \uoh^hf ijh^mdlZ ih ]jZnbdm W | ƒ& Hl\_l kfhljbl_ \ mq_[gbd_

Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

AZ^Zqb d †

DZlZeblbq_kdbc ijhp_kk ² kihkh[ ijh\_^_gby j_Zdpbb h[ e_]qZxsbc b mkdhjyxsbc __ ijhl_dZgb_ \ j_amevlZl_ h[jZah\Zgby ijhf_`mlhqguo ijh^mdlh\ DZlZeba ² baf_g_gb_ kdhjhklb beb \ha[m`^_gb_ obfbq_kdhc j_Zdpbb dZlZebaZlhjZfb dhlhju_ mqZkl\mxl \ ijhf_`mlhqguo klZ ^byo j_Zdpbb gh g_ \oh^yl \ khklZ\ dhg_qguo ijh^mdlh\ 12 b 62 >bhdkb^u ² kh_^bg_gby \ dhlhjuo gZ h^bg Zlhf we_f_glZ ijb oh^blky ^\Z ZlhfZ dbkehjh^Z M]e_dbkeuc ]Za ² &2 >Z wlh ^bhdkb^ Hl\_l kfhljbl_ \ mq_[gbd_

<ZgZ^bc \ 9 ]jmii_ lZ[ebpu F_g^_e__\Z Â&#x; \ukrZy \Z e_glghklv ² 9 Ihwlhfm hdkb^ \ZgZ^by 9 _klv \ukrbc hdkb^ \ZgZ^by Kl_i_gv ij_\jZs_gby 62 \ 62 gZ hdkb^gh \ZgZ^b_\hf dZlZ ebaZlhj_ jZ\gZ W ƒ& <uoh^ 62 ih ]jZnbdm

W ƒ& <uoh^ 62 ih ]jZnbdm

W ƒ& <uoh^ 62 ih ]jZnbdm

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AZ^Zqb d †

JZ^bmk Zlhfh\ \ ]jmiiZo m\_ebqb\Z_lky k\_jom \gba ihwlhfm 5 6L ! 5 &

KZfuc [hevrhc Zlhf ² . kZfuc fZe_gvdbc Zlhf ² )

KZfuf fZe_gvdbf Zlhfhf h[eZ^Z_l we_f_gl \h^hjh^ Z kZfuf [hevrbf 0W f_clg_jbc

fhe_dmeZ + 1D

kljmdlmjgZy nhjfmeZ +Âą+ 1DÂą1D

1

1{1

2

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Hl\_l kfhljbl_ \ mq_[gbd_

we_dljhggh_ kljh_gb_ +u‡+ 1Du‡1D [[ [ [ ‡ ‡‡‡ [ 2 [ ‡ 2‡ [ [

[ 1 [[ ‡‡‡ 1‡‡

Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

:lhfu nhknhjZ dj_fgby [hjZ fh]ml h[jZah\u\Zlv p_ihq_q gmx k_lqZlmx dZjdZkgmx fhe_dmeyjgu_ kljmdlmju l d bo \Ze_gl gu_ \hafh`ghklb [hevr_ ^\mo

:efZa h[jZam_l dZjdZkgmx kljmdlmjm k\yav K²K kZfZy ijhqgZy \ lZdhc kljmdlmj_ [he__ ijhqgh_ \_s_kl\h \jy^ eb fh`gh ihemqblv 6L+ 2 o 6L2 + 2 &+ 2 &2 + 2 K\yav 6L²+ keZ[__ \ 6L+ hgZ aZ\bkbl hl f_`Zlhfgh]h jZkklhy gby m 6L²+ hgh [hevr_ ih kjZ\g_gbx k K²G Hl\_l kfhljbl_ \ mq_[gbd_

& + 2 &2 + 2 6L + 2 6L2 + 2 & + [he__ ijhqgZy 6L + [he__ j_Zdpbhgghkihkh[gZy K G [he__ ijhqgZy fhe_dmeZ q_f 6L + l _ k\yav 6L²+ keZ[__ k\yab K²G 6L + [he__ j_Zdpbhgghkihkh[gZy fhe_dmeZ q_f K G l d k\yab 6L²+ keZ[__ q_f k\yav K²G Hl\_l kfhljbl_ \ mq_[gbd_

AZ^Zqb d †

+

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+

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+ + + +

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;mlZg

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+ + + + + +

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I_glZg

=_dkZg

+ + +

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Ijhibeh\uc kibjl

;mlbeh\uc kibjl

+²&²&²&²&²2+ + + + +

KG HG ² f_lZghe K G HG ² wlZghe K G HG ² ijhiZghe K G HG ² [mlZghe

Kibjlu ² hj]Zgbq_kdb_ kh_^bg_gby bf_xsb_ nmgdpbh gZevgmx ]jmiim HG

AZ^Zqb d †

=hfheh]bq_kdbc jy^ ² jy^ kh_^bg_gbc h^gh]h deZkkZ hleb qZxsbcky ^ey ^Zggh]h b ihke_^mxs_]h qe_gZ gZ KG ]jmiim :edZgZfb gZau\Zxl m]e_\h^hjh^u khklZ\Z &Q+ Q K G ² wlbe K G ² ijhibe

M]e_\h^hjh^u h[s_c nhjfmeu &Q+ Q gZau\Zxlky ZedZgZfb K G ² ]_dkZg K G ² ]_ilZg Z

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; GZb[he__ j_Zdpbhgghkihkh[_g lj_lbqguc Zlhf \h^hjh^Z gZbf_g__ ² i_j\bqgu_ < K G ² ^bf_lbehdlZg = KG ²KG ²KG ²KG ²KG ²KG ²KG ²KG ² hdlZg

I_j\bqguc ² Lj_lbqguc ² <lhjbqguc ² Q_l\_jlbq guc ² D i_j\bqghfm Zlhfm m]e_jh^Z ijbkh_^bg_gh ljb ZlhfZ \h^hjh^Z d \lhjbqghfm ² d lj_lbqghfm ² d q_l\_jlbqghfm ²

Wlb nhjfmeu i_glZgZ jZaebqgu lhevdh gZ [mfZ]_ bahf_jZ IjhiZg KG ²KG ²KG IjhiZghe KG ²KG ²KG HG ² i_j\bqguc &+ ²&+²&+ 2+

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< ijbjh^ghf ]Za_ kh^_j`Zlky m]e_\h^hjh^u 7dbi ƒ& khklZ\Z &Q+ Q ]^_ Q ² < g_nlyghc `b^dhklb 7ie Ldbi ! kh^_j`Zlky m]e_\h^hjh^u khklZ\Z &Q+ Q ]^_ Q ²

E_lmq_klv ² kihkh[ghklv bkiZjylvky Gbadhfheyjgu_ l d bf_xl fZe_gvdmx fZkkm emqr_ me_lZxl q_f \ukhdhfheyjgu_

AZ^Zqb d †

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@b^dh_ lhieb\h [_ahiZkg__ ]Zahh[jZagh]h m^h[g__ l\_j^h]h

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AZ^Zqb d †

G_nlv ² wlh kf_kv m]e_\h^hjh^h\ ij_bfms_kl\_ggh ZedZgu b Zj_gu I ˜ ˜ ² fbeebhg ih_a^h\

G_nlv ljZgkihjlbjm_lky k f_klZ ^h[uqb ih_a^Zfb beb \h^guf ljZgkihjlhf Dkbeheu ijbgZ^e_`Zl d ]hfheh]bq_kdhfm jy^m Zj_gh\ Hjlh dkbehe

&+

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Hl\_l kfhljbl_ \ mq_[gbd_

>_p_g hlghkblky d Zed_gZf Z ^_dZg ² ZedZg KG ¹ KG ¹KG ² ^_dZg KG ¹ KG ¹KG KG ² ^_p_g Hl\_l kfhljbl_ \ mq_[gbd_

>_dZg \oh^bl \ khklZ\ g_nlyghc njZdpbb eb]jhbg MjZ\g_gb_ dj_dbg]Z ^hdhaZgZ Wq

K G o K G K G KG Âą KG ÂąKG b KG Âą KG ÂąKG KG MjZ\g_gb_ dj_dbg]Z ljbdhaZgZ KG Âą KG ÂąKG KG KG Âą KG ÂąKG Wq

K G o K G K G Wq

K G o K G K G KG Âą KG ÂąKG KG Âą KG ÂąKG KG

Ijb dj_dbg]_ g_nlb ihemqZ_lky kf_kv ij_^_evguo b g_ij_ ^_evguo m]e_\h^hjh^h\ Ldbi K G Âą ƒK Ldbi K G ƒK Ldbi K G ƒK Ldbi K G ƒK

Lie K G Âą ƒK Lie K G Âą ƒK Lie K G Âą ƒK Lie K G Âą ƒK

AZ^Zqb d †

IZjZnbg ihemqZxl ba njZdpbb fZamlZ

Ijbf_ju j_Zdpbc k mqZklb_f ij_^_evguo m]e_\h^hjh^h\ ]h j_gb_ f_lZgZ ijhiZgZ \ aZ`b]Zed_ [_gabgZ K G H

Wq

K G H

KH G H

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K G o K G K G KG ± KG ±KG b KG ± KG ±KG KG Hl\_l kfhljbl_ \ mq_[gbd_

AZ^Zqb d †

NmgdpbhgZevgZy ]jmiiZ ² kh\hdmighklv Zlhfh\ hij_^_eyx sZy oZjZdl_jgu_ obfbq_kdb_ k\hckl\Z ^Zggh]h deZkkZ kh_^bg_gbc

Kibjlu ² wlh ijhba\h^gu_ m]e_\h^hjh^h\ bf_xsb_ ]b^jh dkbevgmx ]jmiim KG ±KG ±HG ² wlZghe KG ±KG ±KG ±HG ² ijhiZghe

²HG ² ]b^jhdkbevgZy ]jmiiZ

K G HG ² m]e_\h^hjh^guc jZ^bdZe k ]jmiihc ±HG wlbeh\uc kibjl Wq

K G HG H KH n G H Q K G HG ] ] fhev fhev fhev o e fhev o O e O fhev ˜ e fhev e

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&X2 + 2n

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KG KHHG KZKH KG KHH KZ G H KH n MdkmkgZy dbkehlZ kbevg__ m]hevghc ihwlhfm \ul_kgy_l __ ba kheb

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2

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AZ^Zqb d † Wlbe_g]ebdhev

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Hl\_l kfhljbl_ \ mq_[gbd_ Hl\_l kfhljbl_ \ mq_[gbd_

$O =Q )H 6Q 3E &X ² jy^ Zdlb\ghklb

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AZ^Zqb d †

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Hl\_l kfhljbl_ \ mq_[gbd_

AZ^Zqb d †

GZ ihke_^g_f \Ze_glghf keh_ m $O gZoh^blky we_dljhgZ :exfbgbc ijhy\ey_l \Ze_glghklv ² ?]h aZsbsZ_l hdkb^gZy ie_gdZ $O 2

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$O&O qZklbqgh ]b^jhebam_lky \ \h^_ $O&O + 2 $O 2+ &O +&O Kj_^Z dbkeZy ihwlhfm f_lbehjZg` ² djZkguc Hl\_l kfhljbl_ \ mq_[gbd_

Hl\_l kfhljbl_ \ mq_[gbd_

Hl\_l kfhljbl_ \ mq_[gbd_

Hl\_l kfhljbl_ \ mq_[gbd_ Wq

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AZ^Zqb d †

Hl\_l kfhljbl_ \ mq_[gbd_

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AZ^Zqb d †

Hl\_l kfhljbl_ \ mq_[gbd_

Z &U2 +&O &U&O + n [ &U 2 1D2+ 1D&U2 + 2 &U 2 +&O &U&O + 2 \ &U2 1D2+ 1D &U2 + 2

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Hkgh\ghc 7L2 92 )H2 &X2 &X 2

Hl\_l kfhljbl_ \ mq_[gbd_

AZ^Zqb d †

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)H + 62 Âą )H 62 Âą + n )H2 +&O )H&O + 2

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Hl\_l kfhljbl_ \ mq_[gbd_

H[smx nhjfmem j`Z\qbgu fh`gh ij_^klZ\blv lZd )H 2 ‡ Q+ 2 J`Z\qbgZ bf__l [mjuc p\_l

@_e_agu_ ba^_eby fh`gh aZsblblv hl dhjjhabb k ihfhsvx kfZadb djZkdb b e_]bjmxsbo f_lZeeh\

AZ^Zqb d †

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