forze sulla trave alare forze di pressione locali · { D e < h j ; ; (¡ j¢D£[¤ ¡ ¦¥d ¨§Y...

48
forze di pressione forze sulla trave alare locali

Transcript of forze sulla trave alare forze di pressione locali · { D e < h j ; ; (¡ j¢D£[¤ ¡ ¦¥d ¨§Y...

� ��� ������� � �

� ������� � � ��� ��� ��� ��� ��� � � � !"��� ������#� � ��� �

$&%('*),+*'*).-0/ 1*2&342657-0% 28)*9;:<9=)*:<>72657-?26@A/*BDC8:E9=>0%=)*1F:<G<GA:"1*2IHJ%=9;9;28/;>K28)L-?:<>7:<5?57:�26)M'*)*/(57-?'*1*28/N '*261F/O1*28)P%=HQ26@A/J57/;)*/RC6:TSU/;>?GA:V@XW*:Y26C N '*281*/R:<57:<>?@A28-0%K5?'*C�@A/;>?+Z/*B[572\%KC8/O@<%=C6HQ:<).-0:]@XW*:^28)L-?:<9;>?%_-0:5?'Y-0'F-7-X%&C\%`5a-0>?'O-?-0'F>0%Fb�cd:<>e:<57:<HQ+*26/I'*)J%=:A>?:</I28)Y3=/;C6/I572P5?/;5a-026:A)*:f9;>0%_G<26:g%=C6C8:hSU/;>?GA:f1*2*+*>7:<5?5726/;)F:@XW*:i28C N 'F261*/E:<57:<>?@A28-0%E57'*2j+P%=)*)F:<C6C82g1*2j>7283;:A57-?26HQ:<).-0/k1*:AC6Cmln%=C6%FohC6%p1*:A-?:<>?HQ26)*%=G<28/;)*:R1*:AC6C6:KSU/=>?G<:C6/4@q%=C82r5?%=>ts%u26HQ+v/=>7-X%_)L-?:p+Z:<>w1*26HQ:<)F5?26/=)P%=>?:xC8/#5?+Z:<575?/;>7:"1*:A2&+P%=)*)*:AC6C82`1*2&>?2y3;:A57-028HJ:A).-0/(:<1M26C-026+Z/z1F2{>?2y3;:|-?-X%t-0'*>?%KHJ:A)L-?>?:VC}ln:A).-028-ts%z1*:AC6C\%YSU/;>?G<%K26).-0:A9;>0%t-X%z57:<G<28/;)*:V+Z:<>D5?:<GA26/;)F:^5?:<>a3426>ts%K+Z:<>D26C1*26HQ:<)*5726/;)*%=HJ:A).-0/V1*:AC6C6%~-0>0%q3=:~%=C6%=>?:^��C6/=)*9;W*:A>?/;)*:q�I�U�P9;'F>0%R�;�;by���|b

forze di pressione

forze sullatrave alare

locali�{289;'*>?%K�;�;by�;���O@XW*:AHz%Y1*2[SU/;>7G<:IC6/4@q%=C82v:A1i28).-0:<9=>0%_-?:&5?'�'F)[l�%_C\%~-0>7261*28HJ:A)*5?28/;)P%=C8:=b

� /=HJ:&%_�*�*2\%_HJ/]3O2857-?/^)*:<2[@<%=+*2y-0/;C82v+*>7:<@A:<1*:A)L-?2mBPC6%~5?/;C8'*G<28/;)*:r+v:A>g3O26%V%=)P%_C628-?26@<%T1*2v+*>?/;�FC6:<HQ2N '*261F/O1*28)P%=HQ26@A24s:�>7:<C8:<9.%_-0%j%j@q%=572.:<57-?>?:AHz%=HQ:<).-?:�5?:<HQ+*C826@<2_:e1*2;5?@<%=>?5726575?26HJ%j%=+*+FC626@<%=�*28C628-ts%�+F>0%_-?26@q%+v:A>r@A'*2�1F2d>7:<9;/=C\%Y5?2�>?28@</;>7>?:T%=C6C}l�%=)*%=C6285?2Z5?+Z:<>?28HJ:A).-X%=C8:=bj��)��L'*:A57-?/K@q%=57/*B�-0'F-7-X%q342\%FB�@<2d5?2�57@</;).-0>?%26HQHJ:A1*2\%_-0%=HQ:<).-0:I@</=)E+F>?/;�*C8:<HQ2{+*>?%_-028@<2�@XW*:Y>?2657'*C8-?:<>?%=)*)*/K28HJHQ:<1F2\%_-0%=HJ:A).-0:]:A34261*:A).-02�@</=)E'F):<5?:AHJ+F26/Y+*>0%t-026@A/*b��HQHJ%=9;26)F2\%=HQ/T1F2�3=/;C6:A>f1*:A-?:<>?HQ26)*%=>?:&C6%^SU/=>?Gq%Y1*2�>7:<5?2857-?:<)*G<%z��%_C6C\%V�L'P%_C6:Qs:I5?/=-7-0/;+Z/;57-?/J'F)

@<26C826)*1F>?/V28)F�P)*2y-X%=HQ:<).-0:DC6'*)*9=/Q28).3;:<5a-02y-0/Y1P%Y'*) N '*5?57/J/;>a-0/;9=/;)P%=C8:&%=C6C}l�%_5?5?:_b��1F:<).-02y�P@XW*2\%_HJ/YC6:&9=>0%=)*1F:<G<GA:I5?269=)*28�P@<%_-02y3;:&+Z:<>f57-?'*1*26%=>?:&28C[+*>?/=�*C6:AHz%V28)[�

�q�F�

���.� �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�

®°¯�±�¯�²P¯P³P¯�´@</;)�®�3;:AC6/4@<28-ts%~1*:AC N '*575?/Q26)*1*2857-?'*>?�P%t-0/*BO±�1*2\%_HJ:|-0>?/T1*:<Cµ@<26C826)*1F>?/*B4³Y1*:<)*5728-ts%V1*:<C N '*261*/FBF´

342657@</;5728-_s%^1*28)P%=HQ26@<%~1*:<C N '*261*/Y:A1�²J3=:<C8/O@A28-_s%V1F:<C�5?'F/;)*/*b��)*1*2y3O281*'P%_-?:JC8:J9=>0%=)*1F:<G<GA:z@XW*:z26) N 'F265?@A/;)*/¶5?'*C8C\%w>?:A5?265a-0:A)*Gq%x��572�-?>0%_-7-X%¶�4'F26)*1*2e1*2�1*:|-0:<>¨·

HQ26)P%=>7:`'*)P%VSU'*)FG<26/=)*:T¸p-0%=C6:&@XWF:�º¹,¸���®°¯�±�¯�²P¯P³P¯�´��»¯ �a�=�;b8���

SU'*)*GA26/;)F:g@XW*:f)*/;)^+Z/;5?572\%=HQ/`1*:|�P)*28>?:g-0:A/;>?28@q%=HQ:<).-?:=B.HJ%D5?/;C8/`-0>?%=HJ2y-0:°'*)P%`+*>7/�3_%&5?+Z:<>726HQ:<).-X%_C6:=b¼e/;C6:A)*1*/�+*>?/4@<:A1*:<>7:p26) HJ/41*/"57265a-0:<HJ%_-?26@</FBh+Z:<>J3_%=C8'F-X%_>?:¶Cml½26) N 'F:<)*G<%�1*2¦/;9;)*2¦+P%=>?%=HQ:A-0>7/

5?'FC6C\%T>?:<57265a-0:<)FGq%Y�VB*�*285?/;9;)*%T�P5?5?%=>?)F:]�L'P%t-?-0>7/Y:D3_%=>?26%=>?:`28Cv>726HJ%=)*:A)L-?:`+Z:<>j'*)R)L'*HQ:<>7/Q1F265?@A>?:|-0/1*2�3_%=C6/;>72moZ+v:A>D:A5?:<HQ+*28/*Bv�P5750%_-?2�±�Bµ²PBµ³w:~´�Bv:<57:<9;'*26%=HQ/KC6:]+*>?/�3=:VS�%=@<:A)*1*/K3_%=>?26%=>?:]C\%Y3;:AC6/4@<28-ts%®Tbh�°1P%_-02�@XWF:~5?2�/_-?-0:A)*9;/;)F/QSU/;>7HJ:A>0%=)F)*/Y'*)P%J@A'*>73_%Y@XW*:~5?%=>ts%^-X%_)L-?/J+F2Xs'R@</;).-?26)L'P%J�L'P%_)L-?/z+*20s'2µ3_%=C8/;>?2v1*2[3;:AC6/4@<28-ts%^+v:A>j@<'*2�572d57/;)*/Y:A¾v:A-7-0'P%t-0:]C6:&+*>7/�3=:I5?/;)*/Q)L'*HQ:<>?/=5?2��U�*9;'*>0%w�;�;b��;�»b

DU

R Ra,D,µ,ρ µ,ρa,U,

�{289;'*>0%R�;�=b¿�O�e¼�%=>72\%=GA26/;)*:&1F:<C6C6%^>?:<57265a-0:<)FGq%z@A/;)�C6%Y3=:<C6/4@<2y-_s%^:<1i26C�1*26%=HQ:A-0>7/YC\%=57@<2\%_)*1*/Q26).3_%=>?26%_-029;C82[%=Cy-0>?2v+P%=>?%=HJ:|-0>72mbc�:A>z/;9;)F2j5?:<>726:i1*2f+*>?/�3;:i5?2¦/=-?-?:<>7>?:<�F�v:A>?/"�L'*28)*1*2f1*:A2r9;>?%_�P@A2¦@A/;HQ:¶�L'*:AC6C82¦1F2f�*9;'*>0%(�;�;b��

%=+*+FC626@<%=�*28C62*57/;)*/^+Z:<>h28Cv57:A-f1*2�3_%=C6/=>?2��P5?5?%_-02}b�ÀD+*+*%=>?:&%_C6C6/=>0%I@XW*2\%=>7/V@XW*:&57:D3;/;C8:<575?26HQ/V:A5?+*C8/;>0%=>7:C\%K1F26+Z:<)*1*:A)*Gq%w1*2e�Á1P%p®Á26)kHQ/O1*/R@A/;HQ+*C6:|-0/R1*/�34>?:AHJHQ/w>?26+Z:A-?:<>7:Q1F:<C6C8:V+*>7/�3=:J@A/;HQ:^�4'F:<C6C8:>?28+v/=>7-X%t-0:`28)K�P9;'*>?%¶�;�=b¿�V+Z:<>j-0'F-7-02[2�+Z/;575?26�F26C62�3_%=C6/=>?2[1*:A2�+P%=>?%=HJ:|-0>72mb�O2�%_>?>?2y3_%J�L'*26)F1*2{S�%=@A26C6HQ:<).-?:~%=C8C\%Q@</;)*@AC6'*5726/;)F:~@XW*:^28)x'*)x+*>?/=�*C6:AHz%Q@</;5�s Â�5?:AHJ+*C826@A:=B[%_@<@</=)O·

-0:A).-X%=)*1F/O@A2¦1F2f%�3=:<>7:�/;9;)F2j@<'*>a3=%E26).-0:A>?+Z/;C\%t-X%p5?' 1*26:A@<2f+*'*).-?2mBh�F265?/=9;)P%x:A¾v:A-7-0'P%=>7:��qÃ=Äz+*>7/�3;:5?+Z:<>726HQ:<).-X%_C62µ+Z:<>f@A/;)*/;57@<:<>7:TC6%V1*26+Z:<)F1*:<)*G<%Q1F2��Å1P%=2µ+P%=>0%_HJ:|-0>?2µ5?:<C8:<GA26/;)P%t-02�Æ»bÀÇ+*%=>7-?:¶C}ln28HJ+Z/;575?26�F26C62y-_s%w+*>0%t-026@<%E1F2¦:|¾µ:|-?-?'P%=>?:¶'*) @</;5�s Âr:AC6:A3_%_-?/k)4'FHJ:A>?/"1F2¦+F>?/�3;:_Bj5?/;>79;:

26HQHQ:<1*26%_-X%=HQ:<).-?:R26Cf+*>?/=�*C6:AHz%E1*:<C8C\%xSU>?'*28�*26C828-_s%p1F:<2D1*%_-02¦/=-?-?:<)L'F-?2m�x5?:�26HQHz%=9=26)*26%=HJ/i26)FS�%t-?-021*2�/;>?9.%_)*26GAGq%=>7:~2{>72657'*C8-0%_-02�@</=HJ:V28)��P9;'F>0%��;�=b¿�z/=-7-0:A>?>?:AHJHQ/��qÃ_ÈI9;>0%t�P@<2�C\%z@A'*2{@A/;)*5?'FC8-X%_�*26C828-_s%É�ÊÌËKÍ}Î?Ï»ÐnÑ0ÒÏ~ÐnÎ&ÓtÍ}ÔXÕAÎDÖ}Ô|Ë�ÔV×gÔ|ÐnÑ}ÎIØ�Ù�Ó�Ù�ÒÚ Ù�ËwÛ Ú Ï»Ë<ÑmÔ~ÔqÔAÜ|Ë�Ù�Ý7Ï|Ö}Ô~Ï|ËtØ�ÍmÎaÞ�Þ=Î&Í}Ù�Ó=Î¨Ñ Ú Ñ}Ô^Ó�Ù�ÒÚ Õ|Ô|ÐnÑ}Î&Ó=ÎaÍjÓ=Ô»ÑmÎaÍÝaÏ|Ð�ÝaÔ|пϻÍmÎ Ú ËjÕXÏ»Ð�Ô|ÍmÎ�×gÎ7Ø�Ù�Ô�Ø�Î7ÐnпÏ�ÍmÎ7Ö}Ù�Ö�Ñ}Î7Ë�ß7Ï�Î�Ó=Ô»ÑmÎa͵ÖUÑmÙn×jÏ»ÍmÎ�Ð6à Î7Í}ÍmÔ|ÍmÎ�Ø�Ù=×hÙ¿Ö Ú ÍmÏtáFâOÏ|ÖmݨÎ7Í}Î7×hÔ�ÝaÔ|× Ú ËtÛ Ú ÎdÛ Ú Î7Ö�Ñ}ÎݨÔAËtÖ}Ù�Ø�Î7ÍmÏ|ßaÙ�Ô|Ë�Ù;Ï»ÐLØ�Ù.ã Ú Ô|ÍmÙ4Ø�Î7ÐnпÏhÓ�ÍmÎ7Ö}ÎaË<Ñ}Î{Ñ}ÍäÏXÑ}ÑmÏ|ßaÙ�Ô|Ë�ÎAá

�;�; y�; å��¤¦�j¢¦¤°ª¶��§`�°æ^¥h��ç&�¨©~覫¦�&ªé¤e§ê�`©¦�`���a­O�g§`�aªi¤�©D­O�|�j©r�D�d¤ ���;ë50%=>7:<�*�Z:r5726@A'*>0%=HQ:<).-?:¦+F>?/;�*C8:<HJ%_-028@q%Fb � l8s:r28)*/;C8-?>?:g28C*+*>7/;�*C6:AHz%&1*:A2�@</;5a-02P1*:ACZHQ/41*:<C8C6/`28)Q�L'P%_)L-?/S�%=>T3_%=>72\%=>7:R±ì26HQ+*C628@q%w:A¾v:A-7-0'P%=>7:R+*>?/�3=:R@</;)u@<28C628)*1*>?2e1*2h1*26HQ:<)*5726/;)F2°1*2y3;:A>?5?:_b#�O:R28).3;:<@A:R1*:<C@<26C826)*1F>?/E5?2`28HJHJ%=9;28)P%x1*2D1*/�3=:<>KS�%=>7:p1*:<C8C6:i+*>?/�3;:x57'í'*)îHJ/41*:AC6C6/E26)ï5?@q%_C\%�1*2r'*)í%=:<>7:</*B¦1*2'*)[ln%='F-0/=HJ/;�F26C6:~/�1*2e'*)P%¶)P%q3;:k�U2e@<'*2eHQ/O1*:AC6C82�+v/=5?5?/=)*/�@A/;57-0%=>?:z%=C6@A'*)*:Y1*:<@A26)*:J1*2eHJ28C628/;)*2Ì�f5?2@q%=+*285?@A:h26HQHQ:<1*26%_-X%=HQ:<).-?:�@XW*:g@_l8s:°'*)~57/;C6/rHJ/41*:<C8C6/f%¦1*2657+v/;5726GA26/;)*:�:�1P%D�L'*:<C8C6/¦�*2657/;9;)P%f:<5a-0>?%=>?>7:-0'F-7-X%^Cml½26)FSU/=>?HJ%=G<28/;)*:¦)*:<@A:<5?5?%=>?26%Fbð�34261F:<).-0:AHJ:A)L-?:K@=lys:K'*)"HJ:|-0/41*/�57+v:A>?26HQ:<).-0%=C6:Q+*20s'E5?:AHJ+*C826@A:J@XW*:z+v:A>?HQ:A-?-?:z:|¾µ:|-?-0'*%=>?:K'F)

>?261F/=-?-?/^)4'FHJ:A>?/z1F2�+*>?/�3;:]:<1i/;>?9;%=)*26GAGq%=>7:ICml½26)FSU/;>7Hz%_G<26/=)*:D28)¶HQ/41*/Y>0%=GA26/;)P%_C6:=oF�4'F:<57-?/zHQ:A-?/O1*/5?2[�P%_50%^5?'*C8C\%~-?:</;>72\%V1*:AC6C\%V5726HQ26C828-0'F1*26)*:f1*28)P%=HQ26@<%T@XW*:]+v/=9;9;2\%TC6:`57'*:&SU/;)*1P%=HQ:<).-0%Y57'*C[-0:A/;>?:AHz%1*2�ñh'*@XòL28)*9;WP%=H¶bó�%^5?28HJ28C62y-0'*1*28)*:¦1*26)P%_HJ28@q%~+Z:<>7HJ:|-?-0:I%_)*@XW*:]1*2�>?285?+Z/;)*1*:A>?:I%=1¶'*)[ln%=C8-?>0%V1*/=Hz%=)F1P%^@XW*:T@A2�5?2

1*:A3=:`+v/=>?>?:¦�L'P%=)*1F/V5?2Z:A¾v:A-7-0'P%~'F)K:<57+v:A>?26HQ:<).-?/*��5?:r5?2Z:A¾v:A-7-0'P%=)F/VC6:¦+*>?/�3=:D5?+Z:<>726HQ:<).-X%_C62�5?'K'F)HJ/41*:<C8C6/Y26)�5?@q%_C\%FBZ@</;HQ:~572{'F-?26C826G<G<%=)*/QC6:]26)FSU/=>?HJ%=G<28/;)*2�/=-7-0:<)L'F-?:V5?'FC�SU:<)F/;HJ:A)*/K1*2d1*28HJ:A)*5?28/;)*2>?:q%_C62Ìôå�4:<�*�Z:<)*:J26C��L'*:A5?2y-0/�+Z/=-?>?:<�F�v:Y5?:AHV�*>?%=>?:Q�P%=)P%_C6:=B�C6%¶>7265?+Z/;5a-X%Es:Q5a-X%_-0%w-?>?/�3_%_-X%w5?/=C6/w)*:<C5?:<@A/;C6/Y57@</;>75?/J%_-?-?>0%q3;:A>?5?/J26)*)L'*HQ:<>7:A3=/;C62µ-?:<).-X%t-028342�28)R1*283=:<>?57:T1F26>?:AG<28/;)*2mb

õQõYö�õ ÷�øDùJú�ø&û üìýxþ�ÿ������Rþ����püVû ø&ý ü��pü� qþ���þ�ýxþ<û ø�����þ<ù��pü� Aø��Cd-?:</;>7:<HJ%J1*2�ñh'*@XòL26)F9;WP%=H�5?2d�P%=5?%z5?'*C8Cmln%=5?57'*)*GA26/;)*:T@XW*:VC8:T>7:<C\%_G<26/=)*2�'F-028C628G<Gq%t-0:I5?26%=)*/z1F26HQ:<)O·5?26/=)P%=C6HQ:<).-?:&/;HJ/=9;:<)*:A:=BP/;575?26%Y@XWF:T-0'O-?-02�2[-?:<>7HJ28)*2[1*2�'*)µln:A�4'*%=G<28/;)*:V%_�*�*2\%_)*/YC6:&57-?:<575?:~1F26HQ:<)O·5?26/=)*2mb{�O:¦�4'F:<57-0%~26+Z/=-?:<5?2�s:f3;:A>?2y�P@q%_-0%T572Z+F'�s/~%t¾µ:A>?HJ%=>?:f@XW*:r5?:¦'*)JSU:A)*/;HQ:<)*/zs:¦9=/�3=:<>7)P%_-0/T1P%��+P%=>0%_HJ:|-0>?2d%_-7-0>?%�3=:<>75?/R'*)P%J>?:<C6%=G<28/;)*:I1*:AC�-028+v/z¸���� Æ ¯����q¯������y¯����h�j¹êÃFBdBµ:~�L'*:A57-?2���+P%_>0%=HQ:A-?>?2+v/;575?/;)F/V:<575?:<>7:&1*:<57@<>728-?-?2µ1P%��1*26HQ:<)*5726/;)F2�SU/=)*1P%=HQ:<).-X%_C62���� )L'*HQ:<>?/~HJ28)*26HQ/L�|BPs:D%=C6C8/;>0%&+Z/;5a·5?26�F26C6:r57-?'*1*2\%_>?:&26CZSU:<)*/=HJ:A)*/V-0>?%=HJ2y-0:��� !� 9;>?'*+F+*2�%=1*28HJ:A)*5?28/;)P%=C82#"%$D@A/;)w'*)P%^>?:AC\%=GA26/;)*:r1*:<C-026+Z/�&µ��" Æ ¯�"'�<¯������y¯�"��)(+*g�e¹,ÃFbcd:<>e+P%=5750%=>7:f1P%=C6C6%DSU'*)*GA26/;)*:¦¸R%=C8C\%rSU'F)*G<28/;)*:,&V572P1*:A3=:r28)*1*2y3O281*'P%=>7:h'*)*%]�P%_5?:f1*2-� 3=%_>?2\%_�*26C82��.*@XWF:g3;:<)F9;/;)*/&'F-?26C826G<G<%_-0:�+Z:<>�%=1F26HQ:<)*5726/;)P%_C626GAGq%=>7:eC6:h>726HJ%=)*:A)L-?2O:hC6:,��3_%=>72\%=�F26C62.1F:A3;/=)*/]%�3=:<>7:C6:&5?:A9;'*:A)L-?2�@q%=>?%_-?-?:<>?2857-?26@XW*:_��;bj@</=)L-?:<)*9;%=)*/J-?'F-?-?:&C6:/� 1*26HQ:<)*5726/;)F2vSU/;)*1*%=HJ:A).-X%=C82mo�Obj5?26%=)*/R-0>?%RC6/;>7/R26)*1*28+v:A)*1*:A)L-?2mB[@A26/*s:^)F/;)k1*:A3=/;)*/�1*%w57/;C6:^@A/;57-?28-?'*26>7:V'*)E9;>?'*+F+v/¶%=1*28HJ:A)O·5?28/;)P%=C8:=b0f26@A/;)*57261*:A>?2\%_HJ/r/;>0%&26CO+*>?:A@<:A1*:<).-0:r:<57:<HQ+*26/&1*:ACP@<28C626)F1*>?/`:g3=:<1*26%=HQ/]@A/;HQ:g+*>?/4@<:A1*:<>7:r+F>0%_-?2y·

@q%=HQ:<).-0:_�cd:<>�+*>726HJ%h@</;5?%j5?@<>728342\%_HJ/gC8:�1*28HJ:A)*5?28/;)*2t>?:<C6%_-02y3;:�%_C6C6:�9;>0%_)*1*:<GAG<:e@XW*:e1*:A5?@<>7283=/;)*/¦26C�SU:<)*/;HQ:<)F/*B

26)*1*28@q%=)F1*/^@</;)21ïC6%VC6'*)*9=W*:<GAGq%FB#3 C\%^HJ%=5?5?%Y:�4�26Cµ-?:<HQ+v/5 ��6v¹ 5 371�4 � 65 ®86v¹ 5 1)4 ( Æ 6

���:9 �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�

5 ³;6v¹ 5 371 (=< 65 ´>6Z¹ 5 371 ( Æ 4 ( Æ 6

5 ±?6v¹ 5 1�65 ²;6v¹ 5 1)4 ( Æ 6

1P%~@A'*2µ/=5?5?:A>7342\%_HJ/V@XWF:`>?285?'*Cy-X%�� ¹�ëR��3ÅB@1jB+4���:A�ǹCBR���VB ®TBP²PBF³PBF´x�°@</;)D�E F� ¹,ë5?2�W*%Y+Z:<>a-X%=).-?/*�

��¹�¸��ä®°¯�±�¯�²P¯Z³P¯P´��HG?I " Æ ¹J&[��"'�q¯-"8<»�K�c�:A>�-?>?/�3_%=>?:�2L9;>?'*+F+*24%=1*26HQ:<)F5?26/=)P%=C62;" Æ BL"'��B;"8<qB='O-026C826GAG<2\%_HJ/g28CLHJ:|-0/41*/r1F:<C6C8:�3=%_>?2\%_�*26C82=>?28+v:|-0'F-?:@XW*:E@</;)F5?265a-0:E)*:<C8Cml½2657/;C\%=>7:p2/� +*%=>0%=HQ:A-?>?2&28),HQ/O1F/(1*%uS�%=>w@A/;HJ+*%=>?28>?:p-0'O-?-0:EC6:x1F26HQ:<)*5726/;)*2SU/;)*1*%=HJ:A).-X%=C82mbdc�:A>°:A5?:<HQ+*28/]C6%D-0:A>?)P%J��®~B4±�BL²V��)F/;)is:f%_@<@<:|-?-0%=�*26C8:j+v/=26@XW�M:f26)Y�L'*:A57-0:f3_%=>?26%=�*28C62HJ%=)*@q%pC6%x1*26HQ:<)*5726/;)F:N3ÅBhHQ:<).-0>7:RC\%p-0:A>?)P% �]®TBg±�B�³4�~3_%k�Z:<)F:i+Z:<>7@XW%M:i@A/;).-028:<)*:R-0'O-?-0:wC8:1*28HJ:A)*5?28/;)*2vSU/=)*1P%=HQ:<).-X%_C62O3 B-1fBP4]b� /;)*57261*:A>?2\%_HJ/T@</;HQ:A�3_%=>?26%=�*28C62�±�B�®~BF³PB*%=575?26@A'*>0%_)*1*/4@<2[@XW*:D2µ+P%=>?%=HQ:A-0>72v57@<:AC8-02v5?26%=)*/~-?>0%

C6/=>?/I26)*1F26+Z:<)*1*:A).-02mBL@A26/*s:fC\%I5?:A9;'*:A)L-?:`:<�L'P%_G<26/=)*:r1F:A3;:`%=HJHQ:A-7-0:A>?:f@</;HQ:f'*)*28@q%T57/;C6'FG<26/=)*:f�4'F:<C6C6%�P%=)*%=C6:_B 5 ±?6�Q 5 ®'6�R 5 ³;6TS]¹73VUW1)UX48U�¯@XW*:I:<�L'*2y3_%=C6:A)L-?:<HQ:<).-0:I572�+*'�s/Q5?@<>7283=:<>?:_�1)QY1�RL4 ( R;3JSL1 (=< S]¹C3CUK1ZU[4'U�¯:<1¶:<57+*C628@<2y-X%=)*1F/^2µ-0:A>?HQ26)*2[572�WP%F� \]^ ]_N`badc #ëLe¶¹Mà c ¹MÃew¹,Ãf���C�5?2857-?:<HJ%FB�%q3;:<)F1*/�1*:|-0:A>?HQ26)P%=).-?:^)*/;)E)4'FC6C6/FB[WP%R@</;HQ:Y'*)*28@q%R5?/;C8'*G<28/;)*: ` ¹ c ¹ge#¹ Ã

:R�L'*26)F1*2jC\%x�P%=57:Es:¶28)*1*28+v:A)*1*:<).-?:=oj26)F/;C8-?>?:K57:¶C6%x�P%=5?:w)*/=) 57/O1*2857S�%=@A:<575?:¶C\%p@</=)*1*26GA26/;)F:x�;B°C6%HJ%_-0>726@<:D1*:<C�5?2857-?:<HJ%Q@A/;).-0:<>7>?:A�*�v:T'*)P%Y@</;C8/;)*)P%^)L'*C8C\%^:T�L'*28)*1*2�)*/=)p%q34>?:<�F�v:]>0%=)F9;/JHJ%=575?26HQ/*o1*2[@A/;)*57:<9;'*:A)*Gq%JC\%V@</=)*1*26GA26/;)F:^�Js:&@A/;)*1*28G<26/=)*:&)*:<@A:<5750%=>72\%Y+v:A>¦57/O1F1*265aS�%=>?:&C6%Y@A/;)*1*28G<28/;)*:]�Ob$`:A-?:<>?HQ26)F2\%=HQ/~2�+P%_>0%=HQ:A-?>?2[%_1*26HQ:<)*5726/;)*%=C62Z26HQ+v/=)*:<)*1F/QC8:&5?:A9;'*:<).-?2d@A/;)*1*28G<28/;)*2m�" Æ ¹å®'Q4±?Rt³:St´�¯ "8�g¹å®�QL±�R=³:St²P¯ "8<g¹å®�QL±�R=³:S_� �a�=�;b¿�=�

�;�; y�; å��¤¦�j¢¦¤°ª¶��§`�°æ^¥h��ç&�¨©~覫¦�&ªé¤e§ê�`©¦�`���a­O�g§`�aªi¤�©D­O�|�j©r�D�d¤ ���ih@</;) ` ¯ c ¯Xe#@A/;57-0%=).-02�26)*@A/;9;)*2y-0:=Bd-X%=C82�1P%�>7:<)*1*:A>?:R%_1*26HQ:<)*5726/;)*%=C62�2�9;>7'*+*+*2�"%$�B�@A/;)Nj0¹V�;B��4B�ëFB@</;5a-0>?'F28-02°%LkJ%=)*@<%=)*1*/p%=C°9=>?'*+*+Z/�® Q ± R ³ S C6:Y3_%=>?26%=�*26C82�@XW*:R)*/=)"SU/;>?HJ%=)*/iC\%¶�P%=5?:z+*>?:A5?:K'*)*%%=C6C6%T3;/;Cy-X%Fb���HQ+Z/;)*:<)F1*/YCmln%=1*26HQ:<)F5?26/=)P%=C62y-_s%I1*:<2�9=>?'*+*+F2[SU/;>?HJ%_-02v5?2�/=-7-028:<)*:_�l 3 U 1 U 4 U[m ¹ l 3C1 ( Æ 4 ( Æ 1 Q 4 ( Q 1 R 3 S 1 (=< Snm ¹ l 3po Æ�q SWr 1,o ( Æ�q Q q R (=< SWr 4�o ( Æ ( Qsrtm ¯l 3 U 1 U 4 UXm ¹ l 1)4 ( Æ 1 Q 4 ( Q 1 R 3 S 1 (=< Snm ¹ l 3 S 1,o Æ�q Q q R (=< SWr 4�o ( Æ ( Qsrum ¯l 3VUv1ZUw48U[mj¹ l 371�4 (=� 1)Q:4 ( Qi1�RY3xSL1 (=< Snmj¹ l 3 o S ( Æ r�1 o Æ�q Q q R (=< SWry4 o (=�X( Qsrtm�¯1P%¦@A'*2mBt+Z/;)*:<)F1*/DC}ln'*9='P%=9;C82\%=)*G<%hSU>0%f9;C62=:<5?+Z/;)*:A).-0241*:<2.-0:A>?HQ26)*2=/;HJ/=C6/;9;WF2;5?2L/=-7-0:<)F9;/;)*/¦2.5?:A9;'*:<).-?29;>?'*+F+*2�%=1*28HJ:A)*5?28/;)P%=C82m�

" Æ ¹ ´®D±z³ ¯ "8�g¹ ²® ¯ "'<j¹ �

³F® � ± � � �a�;�;bnë.�� /=)i�L'*:A57-02�9;>7'*+*+*2�%_1*26HQ:<)*5726/;)*%=C62Z5?2�9;28'*)*9;:&�L'*28)*1*2�%=1w'*)*%Q>7:<C\%_G<26/=)*:`1*:AC[-026+Z/

�³F® � ± � ¹J&Dz ´®D±z³ ¯ ²®|{ ¯ �a�;�;b}9L�

@XW*:Js:&28C[>?285?'*Cy-X%_-?/^1*:<C[-?:</;>7:<HJ%^1*2�ñh'*@XòL26)F9;WP%=H¶bñ°265?/=9;)P%`)*/=-0%=>?:h@XW*:fC\%D1*:|-0:A>?HQ26)P%=GA26/;)F:g1*:<C8C\%rSU'F)*G<28/;)*:%&T>?28@XW*26:A1*:j%=)*@A/;>0%&1*:AC6C8:h+*>7/�3=:f5?+Z:<>a·

26HQ:<).-X%=C82�Hz%¶@</;)#:|34261*:A)L-?:K3_%=).-X%=9;9=26/�>72657+v:|-?-0/�%=C6C6%¶>7:<C6%=G<28/;)*:z/=>?269=26)P%=C8:¶�a�;�=b8���»b���HQ+v/=)*:<)*1F/26)FS�%_-7-02�C6:]57-?:<575?:Y>?28@XW*26:A57-0:T5?'*C8C\%Q5?+Z:<>?28HJ:A).-X%=GA26/;)*:_Bv@A26/*s:~%q3;:<>7:^26)FSU/=>?HJ%=G<28/;)*2�5?'x@A'*>73=:^>?28@q%q3_%_-0:26).-0:A>?+Z/;C\%=)F1*/K1*28:<@<2�+F'*).-02mB�/4@<@A/;>?>7/;)*/k��à � :A5?+Z:<>?28HJ:A).-02�'*5?%=)*1*/wC\%KSU'*)FG<26/=)*:�~79;�R@A/;).-0>?/¶2g��Ã_Ä)*:<@A:<5?5?%=>?2v+v:A>°1F:A-0:A>?HQ26)P%_>?:fC\%&SU'*)*GA26/;)*:|~aS[�*b�Àr)P%=C628G<G<%=)*1*/]Cml½:<57+*>?:A5?5?28/;)*:V�a�;�;b}9L��5?@A/;+*>72\%=HQ/T@XWF:C\%¦SU/=>?Gq%¦1*:<C4-0:A/;>?:AHz%D1F2Fñh'F@Xò428)*9;WP%_HÅ@A/;)*5?2857-?:g)*:<CO>?28'*)*26>7:°C8:�3_%=>72\%=�F26C62.28)~9;>7'*+*+*2F%=1*28HJ:A)*5?28/;)P%=C82:<1k:<57@<C6'F1*:<>7:Q-?'F-?-?:^�4'F:<C6C8:^+*>?/�3=:J@XW*:Y1P%_)*)*/wC6/R5a-0:<575?/i)4'FHJ:A>?/¶%=1*28HJ:A)*5?28/;)P%=C8:=bTc�:<>]:<57:<HQ+*26/)*:<C8C\%�>7:<C\%_G<26/=)*:k�a�=�;b8���V%�34>7:<HQHJ/p3_%=>72\%_-?/p5?:A+P%=>0%t-X%=HQ:<).-0:w´�Bg®�± :R³�/;9;)L'*)*/k26)F1*26+Z:<)*1F:<)O·-0:<HQ:<).-?:i1P%_C6Cmln%=Cy-0>?/xHQ:<).-?>?:p%_C¦@A/;).-0>?%=>?28/�C}ln:A5?+*>7:<5?5726/;)F:#�a�=�;b�9.�^@A2r1F26@<:¶@XW*:i�4'F:<57-?2D+P%_>0%=HQ:A-?>?2%=9;2657@</;)F/^26)wHJ/41*/Y@</=HV�*26)*%_-0/^�L'*28)*1*2��L'P%=C8'*)*�L'*:]5?:A-¦1*2[3_%=C8/;>?2v1*2�´�Bµ® ± :I³z@XWF:]SU/;>7)*2657@q%^C6/57-0:A5?57/J3_%=C6/=>?:`+Z:<>f26Cµ9;>?'*+F+v/Y´��*�ä®D±z³4�h1P%=>�s%QC8/^57-0:A5?57/z>?285?'*Cy-X%_-?/^26)�&ZbÀ#+*%_-?-?/j1*2;5?/41*1*2857S�%=>7:�C6:�28+v/_-0:<572=1*2=@</;HQ+*C6:|-0:AG<Gq%g1F26HQ:<)*5726/;)P%_C6:{:A1I26)*1*28+v:A)*1*:A)*Gq%FB��L'P%=C8'*)*�L'*:

5?:A-Y1F2�� 3_%=>72\%=�*28C62fs:R@</=>?>?:|-?-?/E+Z:<>^C6%p1*:A-?:<>7HJ28)P%=G<28/;)*:J1*:<2j9;>7'*+*+*2g%=1*26HQ:<)F5?26/=)P%=C62}bF�r:ACj@q%=57/+*>?:A@<:<1F:<).-0:_Be%=1":A5?:<HQ+*28/*B�C8:^-0:<>7)*:x��²PB�±�Bd³4�]/"��´�B�³PB�®`�&+v/=-?:A3_%=)*/i:<575?:<>7:K'*9;'*%=C6HQ:<).-0:Y'F-?2y·C626GAGq%_-?:J9=26'*)*9=:<)*1*/�@XW*2\%=>?%=HQ:<).-0:R%_1�'*)P%p>7:<C\%_G<26/=)*:Q�*)P%=C6:J1*283=:<>750%x1P%=C8C\%��a�;�;b}9L�I:K@</;).-?:<)*:A)L-?:1*28¾v:<>7:<).-02e9;>7'*+*+*2�%=1*28HJ:A)*5?28/;)P%=C82mbQ�O:A�*�Z:<)*:J26)EC626)F:q%R1*2e+*>?28)*@<28+*26/w)*/=)�@A2�572\%w'*)P%wSU'*)*G<28/;)*:�&HJ289;C628/;>?:°1*:<C8C6:f%=Cy-0>?:_BL+*>0%_-?26@<%=HJ:A).-0:]s:r28).3=%_C65?/IC}ln'*57/T1F2v%_C6@<'F)*2P9;>?'F+*+*2Z%=1*28HJ:A)*5?28/;)P%=C82F+Z:<>�2P�4'*%=C62s:&1*2657+v/;)F26�*28C6:D'F)P%QHJ%=9;9=26/;>7:D:<57+v:A>?28:<)*G<%J5?+Z:<>726HQ:<).-X%_C6:`:A1i'*)*%QC8:A-?-?:<>?%_-0'*>?%^+*20s'K3_%=57-0%Fbó�l½/;+Z:<>0%_G<26/=)*:I+*>?:A@<:<1F:<).-0:^%_C6C\%^1*:|-0:A>?HQ26)P%=GA26/;)F:&1*:<C8C\%VSU'*)*GA26/;)*:/&ZBP�L'*26)*1F2mBds:T�L'*:AC6C6%Y1F2d>7:<)O·

1*:<>7:T+*20s'F�n@</=HJ/41P%FlPC6%Q57'P%J:A5?+*>7:<5?5726/;)F:=Bµ+Z:<>¦@<'F2d57/;C62y-X%=HQ:<).-?:]572�@<:<>7@q%z1F2d/_-?-0:A)*:<>7:T9=>?'*+*+F2{%=1F2y·HJ:A)*5?28/;)P%=C824)F/=-02}b��r/_-02\%_HJ/D%D-X%=CF�*)*:j@XW*:f1P%`'*)Y+*'*).-?/]1F2F342657-0%`1*26HQ:<)F5?26/=)P%=C6:�'*)Y+P%=>?%=HQ:A-0>7/&5?2+*'�s/^HQ/;C8-?26+*C826@q%_>?:f+v:A>j'*)RS�%_-?-?/;>?:D)4'FHJ:A>?26@A/*BF/=+*+*'*>7:]'F50%=>7)*:&Cml½26).3;:A>?57/Q/^57/;57-?28-?'*26>7:`'*)w5?'*/^-?:<>a·HJ28)*:^@</;)�'*)*/i1*26HQ:<)*5726/;)*%=C6HQ:<).-0:^:A�L'*283_%=C8:<).-0:Q5?:A)*Gq%p%_C8-0:A>0%=>7)*:Y26C�57269;)*2y�P@q%t-0/*b � W*2\%_>0%=HQ:<).-0:C\%�SU'*)*GA26/;)F:b&"%=575?'*HQ:<>�s%E'*)*%kSU/;>7Hz%p@A/;HQ+*C6:|-X%=HQ:<).-0:R1F28¾v:<>?:A).-0:wHz%x@A2as/x)*/;)(@</=57-02y-0'*285?@A:¶'F)

���;B �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�+*>7/;�*C6:AHz%~342857-0/Y@XW*:Qs:]%=)*@A/;>0%Y1P%^1*:A-?:<>7HJ28)P%=>?:&57+v:A>?28HJ:A)L-0%=C6HQ:<).-?:=bZ0f28SU:<>7:<)*1F/O@A2�5?:<HQ+*>7:T%_C6Cml½:|·5?:AHJ+F26/~@A/;)*57261*:A>0%_-?/^/;5?57:<>73426%=HJ/~@XW*:&2µ57:<9;'*:A).-02[9;>7'*+*+*2µ%=1*28HJ:A)*5?28/;)P%=C82P5?/;)*/^C6%=>?9;%=HJ:A).-0:D'F50%_-?226) N '*261*/41*28)P%=HQ26@q%

���`¹ ®D±z³´ ¯ 3 ¹ ® ² ¯ �K��¹ �Æ� ³F® �K� ¯ �a�=�;b�h=�

1*/�3;: � s:TC6%Q57'*+Z:<>7�*@<26:ISU>?/=)L-0%=C6:]1*:ACd@A26C826)*1*>7/Y:<5?+Z/;5a-X%K%=C8C\%V@A/;>?>7:<).-0: N '*261*%FBZ���Rs:T28C�)4'FHJ:A>?/z1F20f:W�4)*/;C81*5<B-3 s:I26Cµ)L'*HQ:<>7/J1F2���%=@XW¶:��K�Ms:&26C[@A/O:KkJ@A26:A)L-?:T1F2�>?:<57265a-0:<)FGq%Fbó�%Y>7:<C6%=G<28/;)*:Q�a�=�;b�9.�`s:&�4'F)*1*2�:<�L'*2y3=%_C6:<).-?:T%_C6C\%T5?:<9='*:<).-0:�K��¹����}���;¯#3º�»¯ �a�=�;b�B;�

+Z:<>jC\%^�L'P%=C8:&5?/;)F/J1*285?+Z/;)*28�*26C82vHQ/;C8-?2v>72657'*C8-0%_-02v26)wC6:|-?-0:A>0%_-?'*>0%Obó�%k-?>0%=5aSU/;>?HJ%=G<28/;)*:R1*2j+*%=>0%=HQ:A-?>?2f%=1F26HQ:<)*5726/;)P%_C62�26)('*)P%xSU/;>?HJ%x)*/=-X%k)P%=57@</;)F1*:i-0%=C83=/;C8-0%

1*:AC6C6:D26)*57261*28:&%=C6C8:`�L'P%=C82[�*2657/;9;)P%VS�%=>7:]%_-?-?:<)*GA26/;)*:I%_)P%=C628G<G<%=)*1*/V�P5726@<%=HJ:A).-0:IC6:&/;+Z:<>?%=G<28/;)*2[@A/;H^·+*28'F-0:_b{cd:<>�:<57:<HQ+*26/rC\%D57/;57-?28-?'*G<28/;)*:h1F:<CF+F>?26HQ/¦HJ:AHV�*>?/D1*:<C8C\%V�¨�;�;b}9L��@</;)^28CL-?:<>7HJ28)*:,�K��26HQ+*C826@q%C\%QHJ/=C8-028+*C628@q%=GA26/;)F:`+v:A>`'*)pS�%_-7-0/;>7:^�z:VC6%J57/;57-?28-0'FG<26/=)*:V1*2{± � @</=) � b]�4:V@</;) � 5?2�26).-0:A)*1*:VC6%5?'F+v:A>7�P@A26:rSU>7/;).-X%=C8:D1*:ACv@A26C826)*1*>7/T+Z:<>°'*)*2y-_s%~1*2ZC6'F)*9;W*:AG<Gq%~%=C6C8/;>0%ICml½/;+Z:<>0%_G<26/=)*:Ts:rC6:A@<28-0%THJ%T57:=B*%_C@</=)L-?>0%=>726/*B � ¹M±D��s:DC\%]5?'*+Z:<>a�P@<28:`SU>?/;).-0%=C6:r%=C6C8/;>0%I5?2{s:D28)L-?>?/41*/=-7-0/~28).3;/;C8/;).-X%=>72\%=HQ:<).-0:¦'*)w%=Cy-0>7/+P%=>?%=HQ:A-0>7/R@XW*:�s:^C6%RC6'*)*9=W*:<GAGq%¶%=5?572\%=C8:^1*:<Ce@<28C628)*1*>?/D�h:Y�4'F:<57-?/�)*/=)ïs:Q%=HQHJ:A5?5?/¶%RHQ:<)*/¶@XW*:)*/;)w572�26).-0>7/O1*'F@q%Y%Q57:<@A/;)*1*/QHJ:AHV�*>7/Q28C[)L'*/�3;/Q9;>?'F+*+v/J%=1*28HJ:A)*5?28/;)P%=C8:A���=±�bó�%w57/;57-?28-?'*G<28/;)*:^1*2 � @</;)E±D�h)F/;) s:Y%_HJHQ:<5750%R26)x�L'P%=).-?/i)*:AC6C6%k�a�;�;by���D)*/=)�:A>0%R57-0%_-X%R26)4·

26GA2\%=C8HJ:A).-0:]@</;).-0:AHJ+FC\%_-0%KC\%KC6'F)*9;W*:AG<Gq%R1*:AC�@<28C626)F1*>?/��e-0>?%wC8:~3_%=>?26%=�*28C62�1*:<C�SU:A)*/;HQ:<)*/Fb��`'*:<5a-X%/;575?:<>a3_%=G<28/;)*:¦+v/;)F:r28)J>72650%_C8-0/I28C*S�%_-?-?/T@XW*:rC\%&5?:AC6:AG<26/=)*:r28)*26GA2\%=C8:g1*:AC6C6:j3_%=>72\%=�*28C62µs:rC6%&S�%_5?:D+F2Xs'Y1*:<C ·26@<%_-X%I1*2�-0'F-7-0/T26C�+*>?/4@<:A5?57/^1*2Z%=)P%=C8265?2}b{ó�%~HJ%=)*@<%_-X%I26)F@<C6'F5?26/=)*:r1F2v'*)J+P%=>?%=HJ:|-0>7/TSU/;)*1*%=HJ:A).-X%=C8:+Z/;>7-?:<>?:A�*�Z:K26)FS�%t-?-02�%=1#'F)P%�>?:AC\%=GA26/;)F:J�P)P%_C6:z+F>?283_%�1F:<9;C82°:|¾µ:|-?-02��P5?28@<2°+*20s'">726C8:A3_%=).-02}biÀrCh@</=)O·-0>?%=>?28/*B4@</;)*57261*:A>0%=>7:I1*:<2�+P%_>0%=HQ:A-?>?2[28)*26) N '*:<).-02µ+*>?/41*'*>7>?:<�F�v:I1*:AC6C6:&>7:<C6%=G<28/;)*2v�*)P%=C62µ26)L'F-028C6HQ:<).-0:@</=HJ+*C826@<%_-0:r@XW*:T>7:<)*1F:<>?:A�*�Z:<>?/Q-0>7/;+*+Z/Q@A/;57-?/;50%Y/Y26HQ+v/=5?5?28�*26C8:DC6%V5?+Z:<>?28HJ:A).-X%=GA26/;)*:_b

õYõYöv� �{þqû þ� qþA÷��xýxþ��pø ýxþ��pü~û þ��füó�%�>?:AC\%=GA26/;)F:p�¨�;�;b�B.�]1�s%pC6%i>7265?+Z/;5a-X%p%=1#'F)P%p1*:<C8C6:Q+*>?28HJ:J1*/;HJ%=)*1*:J1*2h�L'*:A57-?/E@<%=+*2y-0/;C8/i@A26/*s:_�@</=HJ:w'F-?26C628G<G<%=>?:w2f>?285?'*Cy-X%_-?2g/=-?-?:<)L'F-?2r57'¬'*)ïHQ/41*:<C8C6/x+Z:<>z28CgSU:<)*/=HJ:A)*/"28) 1*28HJ:A)*5?28/;)*2j>7:q%=C82Ìô� 5?57:<>73426%=HJ/R28)FS�%_-7-02d@XW*:Y)*:<C8C\%x�¨�;�;b�B.�r@</=HJ+P%_26/;)*/z5?/;C8/K9;>?'F+*+*2�%=1F26HQ:<)*5726/;)P%_C62�:^)*/;)k@=lys:^>?2ySU:<>¨·26HQ:<).-?/K:<57+*C628@<28-?/R%=C8C6:~1F26HQ:<)*5726/;)*2�1*:<C{HJ/41*:<C8C6/*BZ�L'*:<5a-0/¶26HQ+*C628@q%Y@XW*:YC\%zSU'*)FG<26/=)*:��E572e%=+*+*C826@<%'*9;'*%=C6HQ:<).-0:I%_C[SU:<)*/;HQ:<)F/J>7:q%=C8:]:A1p%Y�L'*:<C8C6/Y26)w5?@<%=C\%Y:<1i2�1P%_-?2�/=-?-?:<)L'F-02�+Z:<>f'*)i@q%=57/z+Z/;5?57/;)*/:<575?:A>?:r%=+*+*C826@q%t-02*%_C6Cmln%=Cy-0>?/Fb�ód%&>7:<C\%_G<26/=)*:I�a�=�;b�B;�{1*26@A:j26)Y+P%=>a-026@A/;C\%_>?:h@XWF:r57:¦57/;)*/]'*9;'P%_C62F2P9=>?'*+*+F2%=1*28HJ:A)*5?28/;)P%=C82�+Z:<>ISU:<)F/;HJ:A)*/¶>?:q%_C6:Y:QSU:A)*/;HQ:<)*/¶26)E5?@<%=C\%w%=C8C6/;>?%K50%=>?%=)*)*/i'*9;'P%_C62�%=)F@XW*:z2�@A/_·:WkQ@A26:<).-?2{1*2dSU/;>?G<%z/;5?572\%z2�1*'*:~SU:A)*/;HQ:<)*2�%q3L3;:<)F9;/;)*/w26)�@</;)*1F26G<28/;)*2d1*2H�K�u���u���u���f :�u¡>¢� :�u¡#£:���¥¤X£=b�O:]/;5?57:<>a3O26%=HQ/z+Z/;2�@XW*:^%=)*@XWF:~C6:]:<�L'P%_G<26/=)*2�1F:<C6C6% N '*261*/41*28)P%=HQ26@q%V+Z/;575?/;)*/z:<5?57:<>7:V:<57+*>?:A5?5?:^28)SU/;>7Hz%R%=1F26HQ:<)*5726/;)P%_C6:V%_C6C6/=>0%z572e3=:<1*:Q@XW*:Q2�@q%=HQ+*2�1F2�HJ/=-?/w50%=>?%=)*)*/¶@<28)*:<HJ%_-028@q%=HQ:<).-?:V5?28HJ28C62/;575?2\%R2�3_%=C8/;>?2,£i :�u�|¢K¡f�K�¥¦§¡#£:���d1F2�3;:<C8/O@A28-ts%w+F>?:<575?28/;)*:Y1*:<)F5?28-ts%¶:|-0@_bJ5?%=>0%=)F)*/i9=C62{5a-0:A5?5?2�26)k+*'F)L-?2@</=>?>?285?+Z/;)*1*:A).-02mb

�;�; �¨F ï­4�aªi�¨���<�D¥�§`�¨©D¤î§`�¨©¦�&ªi�|�{� ���i©cd:<>K>72\%=575?'*HQ:<>7:�+Z/;5?572\%=HQ/"1F26>?:i@XW*:x5?:�1*'*:�SU:A)*/;HQ:<)*2¦5?/;)F/#9;:</;HQ:A-?>?28@q%=HQ:<).-0:¶5?28HJ28C62j:A1

WP%=)*)*/�2°9;>7'*+*+*2h%=1*28HJ:A)*5?28/;)P%=C82�'*9;'P%=C82�%=C6C8/;>0%¶%q3O>?%=)*)*/�9;C62e57-?:<575?2j@</4:WkQ@A26:<).-?2h1*2eSU/;>?G<%�:<1#'F)@q%=HQ+v/]1*2ZHJ/_-0/]@<26)F:<HJ%_-028@q%=HQ:<).-0:f5726HQ26C6:j+Z:<>7HJ:|-?-?:<)*1*/T1*2�-0>0%_57SU:<>726>7:r28)FSU/;>?HJ%=GA26/;)*2F1P%T'*)z@q%=57/%=C6C}l�%=Cy-0>7/*b

U UD

m

m

ρ ν

fenomeno reale

fenomeno in scala

D R mR

νmρm

��269;'*>?%K�;�;bnëF�eð�5?:AHJ+*28/Y1*2[5?28HJ28C62y-0'*1*28)*:¦1*26)P%_HJ28@q%~+Z:<>f'*)¶:<1*2y�P@<28/Y26).3;:A57-02y-0/Y1P%=C[3=:<).-0/Fb

0f28SU:A>?:A)*1*/4@<2P5?:AHJ+F>?:¦%=C6C}ln:A5?:AHJ+*28/&1*:<CP@A26C826)*1*>7/&26HQHz%_9;26)*26%=HQ/¦@XWF:D26COSU:<)*/;HQ:<)F/]>7:q%=C8:f5?2P573=/;Cy·9.%i28)�%=>72\%�%����w¹ �qÃ=ÄqB�+Z:<>T'*)#@<28C626)F1*>?/¶1*2�1*2\%=HQ:A-?>?/i± ¹�qH :KC6'F)*9;W*:AG<Gq%ª�D¹ �_H HQ:<)O·-0>?:�+v:A>RHJ/41*:<C8C6/E26)î57@q%=C6%¬�î�&�=Ã�28)í%=@<�L'P%#26)î@A/;)*1*28G<28/;)*2¦1*2`5?28HJ28C62y-0'*1*28)*:R1*28)P%=HQ26@q%E3O28:<)*:HJ285?'*>?%_-X%k'*)P%E>?:<57265a-0:<)FGq%#�'«Ç¹��:�Tbe¼e/;9;C626%=HQ/x@q%=C8@</;C6%=>?:w�L'P%=C8:�50%_>ts%�C6%ESU/;>7Gq%E1*2r>7:<572657-?:<)O·Gq%�57'*C°+F>?/=-?/=-028+v/*b � /;HQ:z+F>?26HQ/¶+P%=5?57/p@q%_C6@</=C62\%_HJ/R28C°@A/O:KkJ@A26:A)L-?:z1*2°>?:A5?265a-0:A)*Gq%�1F:<ChHQ/41*:<C8C6/�W��¹ �=�'«%�*��³;«f® �« � «h�»B{+Z:<>~28C��L'P%=C6:J@<2e5?:A>73=:RC\%R3;:<C8/O@A28-ts%Fbb�`'*:<5a-X%�+Z/;575?2\%_HJ/¶>?28@q%q3_%=>?C6%¶1P%_Cy·Cml½'*9;'P%=9=C62\%_)*Gq%I1*:<2µ)4'FHJ:A>?2[1*2¬0¦:K�O)F/;C61*5f���D¹,���­« ¹ê��Ã=ÄqB*1*%Y@A'*2mBO)*/=-0%VC\%~342657@</;5728-_s%V@A26)*:AHz%t-7·26@q%¶1*:<C8Cmln%=@<�L'P%¶5?2°>?26@<%q3=%x®�« ¹ �_H|®_5<b�$&%=Ce@q%=C8@</;C8/i1F:<Ch@A/O:KkQ@<26:A).-0:K1*2�>?:A5?2857-0:A)*Gq%p572°/_-?-028:<)*:S�%=@<28C6HQ:<).-0:Z�K�"¹MÃf�n�r+Z:<>d@<'*24+v:A>�28CL@<26C826)*1F>?/j1*241*26HQ:<)F5?26/=)*2.>?:<%=C62.572O%q34>ts%D�º¹M³F® � � �K�)�;�I¹Å�;���Tb

���;� �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�

¯�°>¯�±p²´³sµ��)V'*)~SU:A)*/;HQ:<)*/D1*2 N '*261*/41*28)P%=HQ26@q%j9;:A/=�P5726@q%¦26)~%=>?26%FB_572F5a-026HJ%f@XW*:gCml½:<)F:<>?9=2\%f1*26575?26+*%_-X%¶ s:YSU'F)*G<28/;)*:Y1*:<C8C\%K3;:AC6/4@<2y-_s%R1*2�>?/_-X%=GA26/;)*:�· 1*:<Ce5?2857-?:<HJ%FB�1*:<C8C\%z3;:AC6/4@<2y-_s%R1*:<C N 'F261*/®TB{1*:AC6C\%R57'P%�1*:A)*5?2y-_s%i³PB�1*:<C8Cmln%=@<@A:<C8:<>0%_G<26/=)*:^1*2e9;>0%q3428-ts%b&p:J1*:AC6C8:Q1F26HQ:<)*5726/;)*2�@<%=>0%t-7·-0:A>?265a-028@XW*:z1*:AC�SU:A)*/;HQ:<)*/�¨bi��)�'*)#C6%=�v/=>0%_-?/;>?28/¶572°>726+*>7/O1F'*@<:J26C�SU:<)*/=HJ:A)*/p26)"%=@<�L'P%26)K57@q%=C6%Y¸L¸Y:`5?2µHJ285?'*>?%~'*)[l½:<)*:A>?9;26%V1*26575?28+P%_-X%�¶¹«rb � %=C6@A/;C\%_>?:DC}ln:A)*:<>79;2\%T1*26575?26+*%_-X%~)F:<CSU:<)*/=HJ:A)*/I>?:q%_C6:=b��O:fC\%`3;:AC6/4@<28-ts%&26)YC\%=�Z/;>?%_-0/;>726/Vs:`®�«#�L'P%=).-?/T3_%=C6:jC6%~®í1*:<CPSU:A)*/;HQ:<)*/>?:<%=C6:qô¸Lº�¹ �]�P�qÃ=Ä ¶�«(¹º�+�nÃ:9?» ®�« ¹,Ãf�nÃ;Ã;ë^H|®_5°¬¼#½�¾�¿YÀy¼#Á�Âó�%K>?:<C6%=G<28/;)*:zs:V1*:<Cd-028+v/�¶ ¹�¸���·`¯A®°¯���¯X&Z¯0³4�j@XW*:=B�>7265?'FC8-X%_)*1*/��é¹ÃBK:��ì¹�ëOBµ+*'�s/:<575?:<>7:^5?@A>?28-7-X%Q@</;)xëJ+P%=>0%_HJ:|-0>?2d%=1F26HQ:<)*5726/;)P%_C62O"8<`¹ÅÄz��" Æ ¯w"'�|�|br$&%=C�HQ:A-0/41*/J1*:<C8C6:3_%=>?26%=�*26C82�>?26+Z:A-?'F-0:I572�>?26@<%q3=%�" Æ ¹º®��F��·����|B#"'�h¹J&f�*��· � ���g:�"8<g¹C¶��*��· � � Ä ³4�|b$&%=C6C}ln'F9;'P%=9;C82\%=)FGq%V1*:A2�+P%=>?%=HJ:|-0>72{%=1F26HQ:<)*5726/;)P%_C62�-0>?%K:<5?+Z:<>726HQ:<).-0/R:TSU:<)*/;HQ:<)F/R>?:q%_C6:5?2°/=-?-?26:<)F:=��¶ ¹Æ¶�«°³=�*��³;«g¸ZȺ �V¹��+��h;�:Çi©�ÈP��ÃLÆ�É�»x:¶®�¹ ®�«,�YÊ ¸LºV¹ Ãf��Ç:9.�;BiHD®_5AB:<575?:<)F1*/R¸§ºe¹C��«,�:��b

¯�°>¯�±p²´³sµó�/j5?@q%_HV�*26/g-?:<>7HJ28@</¹Ëï1*2='*)I1*2657+v/;5728-?283;/°3O28:<)*:eHQ2657'*>0%_-?/g1P%=C=>0%=+*+Z/;>a-0/g-0>?%gC\%g+Z/=-0:A)*Gq%-0:A>?HQ26@q%x57Hz%=Cy-02y-X%x:iC6%E1F28¾v:<>?:A)*Gq%E1*2j-0:AHJ+Z:<>?%_-0'*>?%ï� 5 Ë�6]¹ÍÌ!�:�k�|bî$&%k'*)[ln%=)P%_C626572+*>?:AC628HJ28)P%=>?:&>72657'*C8-0%Q@XW*:�Ë ¹ê¸���®°¯0³P¯�Îv¯�Ï�4f¯�1��¦28)i@A'*2�® s:~C6%Y3=:<C8/O@A28-_s%OBZ³RC6%Q1F:<)*5728-_s%:/ÎzC\%T1*28¾v'*5?2y3428-_s%I-0:A>?HQ26@q%T1*:<C N '*261*/Fb)Ï�4�s:`C6%~1*2y¾µ:A>?:<)FGq%^1*2v-?:<HQ+v:A>0%_-?'*>0%~%=+*+*C826@q%t-X%:<1|1�'*)P%T1F26HQ:<)*5726/;)*:f1*:AC�1*2657+v/;5728-?283;/Fb��O:¦Cml½'*)*28@q%I9;>0%=)F1*:<GAGq%T@XWF:r3_%=>?26%Qs:&®M:¦+v:A>°'*)HJ/41*:AC6C6/]1*2v1*26HQ:<)*5726/;)F:�1�«¬C8/~57@q%=HV�F26/~-?:<>?HQ26@A/T3_%=C8:AË%«rBF�L'P%=).-0/V3_%=C8:AËê+v:A>g'*)R'*)1*2657+v/=5?28-?283=/^1*2�1*26HQ:<)F5?26/=)*:�1�ô1�«(¹�Ãf�}9YH Ë%«u¹,�;Ã�ÐC®:Ñ 1#¹º�VH°¬¼#½�¾�¿YÀy¼#Á�Â��)K�P%=57:`%=CP-?:</;>7:<HJ%T1*2Zñh'*@XòL28)*9;WP%=H :<575?:A)*1*/4@<2¬��¹7BI3_%=>?26%=�*26C82F:��¹V9~1*26HQ:<)*5726/;)F2SU/;)*1P%_HJ:A)L-0%=C62=26C=SU:A)*/;HQ:<)*/¦+*'�s/r:<5?57:<>7:h1*:A5?@<>728-7-0/¦HJ:A1*2\%=).-?:��Ò /� ¹,�f+P%_>0%=HQ:A-?>?2L%=1*2 ·HJ:A)*5?28/;)P%=C82mb�Ó¦-?26C826G<G<%=)*1*/&28CPHJ:|-0/41*/I1*:<C8C6:g3_%=>72\%=�*28C62O>?26+Z:A-?'F-0:f572PWP%T'*)*%]1*:AC6C8:j+v/;575?28�*26C825?/;C8'*G<28/;)*2}� Ë´Ï�4

® < ³Y1 � ¹V& z ή�1�{ �

��)w@</;)*1F26G<28/;)*2Z1*2[5726HQ26C62y-0'*1F26)*:j1*/�34>0%_)*)*/Y>?285?'*Cy-X%=>7:D'*9;'*%=C62v2µ9;>7'*+*+*2�%_1*26HQ:<)*5726/;)*%=C62�:<1:<575?:<)F1*/¶®êC}ln'F)*26@<%Y9=>0%=)*1F:<G<G<%Q@XWF:]3_%=>72\%w��/=C8-0>7:`)P%_-?'*>0%_C6HQ:<).-0:I%=121ï:/ËT�g5?2�/=-7-026:A)*:ή�1 ¹ Î

®�«%1�« ¹¬I ®,¹å®�« 1�«1 ¯ Ë´Ï�4® < ³Y1 � ¹ Ë%«�Ï�4

® <« ³Y1 �« ¹¬I Ëå¹7Ë%« ® < 1 �® <« 1 �«1P%^@<'*2�Ëê¹CË%«%1�«,�:1#¹ê�nB�ÐC®:Ñ^b

�;�; �Ô4 ï­4�aªi�¨���<�D¥�§`�¨©D¤î§`�a­��h�f¢f�*� ���;ǯ�°>¯�±p²�³nµ

��C4@q%_C6/;>7:%Ëí@XW*:g57Hz%=Cy-0285?@<:�'*)V+*%=>7-?26@</=C\%=>7:°1*285?+Z/;5?2y-02y3;/¦26)V%_>?2\%r%~�sh¹ÕwËÅs:°:<57+*>?:A5?5?/I1P%_C6C\%>7:<C6%=G<28/;)*:�Ë ¹ ¸��u&v¯wÏ�4f¯ ` ¯�Ö¶¯v×O¯0³4�f@</;)�&�%=@<@A:<C6:A>0%=GA26/;)F:V1*2�9;>?%q3O2y-_s%FB¬Ï�4Å1*2y¾µ:A>?:<)FGq%1F2Z-?:<HQ+v:A>0%_-?'*>0%FB ` @</4:WkQ@<28:<).-0:r1*2v:A5?+P%_)*5?28/;)*:D-?:<>?HQ26@<%FB=ÖÇ1*28HJ:A)*5?28/;)*:f+*>726)*@A26+P%=C8:=B+×34285?@</=5?28-ts%&@<26)F:<HJ%_-028@q%&:f³~1*:A)*5?2y-_s%I1*:<C N '*281*/*b��O:r'F)JHQ/O1F:<C6C8/&26)Y5?@<%=C\%]¸§¸TSU'*)*GA26/;)P%_)L-?:28)(%=@<�L'P%�%=C6C6%�-0:<HQ+Z:<>0%t-0'*>?%E1*2¦�_Ã Õ Ë +Z:<>Y'*) 1P%_-?/ØÏ�4#«Á5?HJ%=C8-?265?@A:R26Cg@<%=C6/=>?:NË%«¦B�L'P%_C6:^50%_>ts%K26CÙÏ�4�1*2{SU'F)*G<28/;)P%=HQ:<).-0/R:A1k26C{@<%=C6/=>?:^5?HJ%=Cy-028-?/z1P%_C�1*2657+v/=5?28-?283=/K>?:<%=C6:V28)@A/;)*1*28G<28/;)*2[1*2µ5?26HQ26C828-?'*1*26)F:r1*28)P%=HQ26@<%.ô¸§¸V¹Å�I�=© Ï�4#« ¹Å�;�n� Õ Ë Ë%«(¹��_�;Ã�»°>¼#½�¾�¿YÀy¼ÚÁ�Â$&%_C�-0:</=>?:<HJ%w1*2�ñh'*@XòL26)*9=WP%=H¶Bd>72657'*C8-0%=)*1*/2� ¹Û©w:?� ¹E9i572�W*%¶@XW*:JC\%w>?:AC\%=GA26/;)*:572e+*'�s/¶:<5?+F>?26HQ:<>7:^-0>0%_HJ2y-0:Yëw+P%=>0%_HJ:|-0>?2�%=1*26HQ:<)F5?26/=)P%=C62}bYc�>?:<)F1*:<)*1F/�@</=HJ:^3_%=>?26%=�*28C62>726+Z:A-?'F-0:/Ï�4]B-Ö"B-×R:I³z5?2�/_-?-028:<)*:ËÖ�³=× � ¹CÄ z &fÖ <× � ¯ ` Ï�4 { ¯1*% @<'*2Å5?2 >?28@q%q3_% S�%=@A26C6HQ:<).-?:ÜÏ�4 ¹ Ï�4#« ` «%� ` ¹ Ãf�8�qÃ;� Ñ :ÝË ¹Ë%«D��ÖD�:Ö�«h�<�U³=�_³;«j�A�¥×P�:×s«g� � ¹ 9.ëih=��Ç;ëÒ»M��@A/;)í2D3_%=C6/=>?2D+Z:<> ` ¹ ëf�}9.�DÈ���à (=< Ñ ( Æ+Z:<>fC}l�%=>72\%~: ` «(¹º�+�y��ÃAÈ.��à ( È Ñ ( Æ +v:A>Il�%=@A�L'P%.�|b

õQõYö�Þ ��þqû þ­ qþA÷)�xýxþ­�pø ýxþ���÷{ùJú�÷{ü�r:<C8Cml½:<57:<HQ+*26/¶1*:<C°+P%=>?%=9;>0%tSU/�+*>7:<@<:A1*:<).-?:Es:J57-0%_-0/p28)">7:q%=Cy-_s%i@A/;HQHJ:A5?5?/�'*)ß��:A>?>7/;>?:_l{@XW*:K@A/;57-?2y·-0'*285?@<:¶+*>?%_-028@q%=HQ:<).-0:¶C\%k>?:A9;/;C6%E28) @<%=HJ+Z/E5?+Z:<>?28HJ:A).-X%=C8:=bJ0f26@</=>?1*26%=HJ/FB�28)FS�%_-7-02mB�@XW*:iC\%k@</;)O·1*26GA26/;)*:^1F2�5?26HQ26C828-?'*1*26)F:~1*28)P%=HQ26@q%K+F>?:A3=:<1*:J@XW*:ª���=������2e9;>?'F+*+*2e%=1*28HJ:A)*5?28/;)P%=C82{@XW*:Q9;/�3;:A>?)P%_)*/26C[SU:<)F/;HJ:A)*/z1F:<�*�P%_)*/z:A5?5?:A>?:V9=C62�57-?:<575?2{+Z:<>r+v/_-0:<>r%=+*+FC626@<%=>?:&2d>?285?'*Cy-X%_-?2[1*:AC6C\%Y5?28HV'*C828-0'F1*26)*:D1*2y·)P%=HQ26@q%Ob � /;)F5?261F:<>0%_)*1*/x@XW*:RC6%¶3;:AC6/4@<2y-_s%�1*:ACh57'*/;)*/x28)#%=@<�L'P%�s:J1*2h@A26>7@q%"�sh_Ã;Ã=H|®_5T572hWP%p@XWF:5?:^@q%_C6@</=C62\%_HJ/Q26Cd)L'*HJ:A>?/w1*2���%=@XWE1*2{:A5?+Z:<>?28HJ:A).-0/w:VSU:<)*/=HJ:A)*/R>?:<%=C6:V572�WP%FBµ>?2657+v:|-?-?283_%=HQ:<).-0:3�« ¹ ®�«,�=²;« ¹ Ãf�nÃ;ÃF��ëFB83 ¹ ®,�=²M¹ Ã+��Ã;ÃL9;9*o`+Z/;26@XW�M:�>?285?'*Cy-X%!3 ๠3�« 3;:A>?>?:A�*�Z:E1*%@</;)*@AC6'*1F:<>?:I@XW*:]C\%V5726HQ26C828-0'F1*26)*:¦1*28)P%=HQ26@q%T)*/;)�s:]>72657+v:|-?-X%t-X%fác�>726HJ%T1*2Z-026>?%=>?:r1*:<C8C6:r@</;)*@AC6'*5726/;)F2mBL3;:<1F2\%=HQ/VHQ:<1*26%=).-0:D'F)R:<5?:AHJ+F26/V@A/;)R+P%=>?%=HJ:|-0>72vC8:<9;9;:A>a·

HJ:A)L-?:I1*28¾v:<>7:<).-02[57:Js:I+Z/;5?5726�*28C6:`HJ%=).-0:A)*:<>7:IC\%V5?28HJ28C62y-0'*1*28)*:¦1*26)P%_HJ28@q%~28)¶�L'P%_C6@XW*:]%=Cy-0>?/^HQ/41*/*b�O2[@</=)*5?281*:<>72�26C[+*>7/;�*C8:<HJ%V1*:<C�@A26C628)*1*>7/^26)R@<'F2d572\%=)F/Y%=5?57:<9;)P%t-02�2[5?:A9;'*:A)L-?2�1*%_-02}�

± ¹Å�;��h�Hi¯ ®,¹�h=Ã�H|�_5|¯ ±�« ¹,ë;Ã�@AHÀD�*�*26%=HQ/^+v:A>j2�+P%=>0%_HJ:|-0>?2[%=1*26HQ:<)F5?26/=)P%=C62}�

���`¹ ®�â× ¹ ®Aâ.³´ o ���­« ¹ ³;«f®�«g±�«´

�nÇ;à �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�

3 ¹ ® ² o 3�«(¹ ®�«²;«Ór)�+*>?28HJ/QHJ/41*/Q+v:A>`%q3;:A>?:VC8/z5a-0:<575?/R)L'*HQ:<>7/K1*2�0¦:K�O)F/;C61*5Vs:~�L'*:<C8C6/Q1*2�%='*HQ:<).-X%=>7:~1*2d@<28)*�L'*:3;/=C8-0:hC\%r3=:<C6/4@<2y-_s%D1F:<C N 'F5?5?/]C\%_5?@<26%=)*1*/D26).3_%=>?26%_-0:°C6:j%=Cy-0>7:h9;>?%=)*1*:AG<G<:_b���)Y�4'F:<57-?/IHJ/41*/`572*/=-?-?26:A)*:C6/^5a-0:A5?5?/J)L'*HJ:A>?/Y1*2�0f:W�4)*/;C81*5<BPHJ%^1*283=:<>75?/Q)4'FHJ:A>?/Q1*2���%=@XW3 ¹�Ãf�y��9Y©O¯ 3�«(¹�Ã+��©+�c�>?/�342\%=HQ/]%=C6C8/;>0%&%I@q%=H~�*2\%=>7:f26C N '*281*/*BL@</=)*5?281*:<>?%=)*1*/]Cmln%=@<�L'P%T%=CP+Z/;57-?/~1*:AC6Cmln%=>72\%FB_:r'F-?26C826G<GA2y·

%=HQ/R'*)P%K3;:AC6/4@<2y-_s%R+v:A>&26C�HQ/41*:<C8C6/J-0%=C6:^1*%w@A/;)*57:<>73_%=>7:JC6%K5?28HJ28C628-?'*1*28)*:T1F26)P%=HQ26@<%z1*:AC�)4'FHJ:A>?/1*2O0f:W�4)*/=C61*5A�

���D¹����­«dI ®�â×sãåä¥.�ã ¹ ®�«h±�«×sã[æyç¥èKã®�«(¹ קãåæyç¥èKã­âקãéäê.�ãA±�« ®

®�« ¹Ch ���à h=Ã]¹,�;h�HD�_5ÀD)F@XW*:T57:IC\%^5?28HJ28C628-?'*1*28)*:f1*:<C�)L'*HQ:<>?/Y1*2�0f:W�4)*/=C61*5Is:I>?285?+Z:A-?-0%_-X%OB*)*/;)¶C6/Rs:I�L'*:<C8C\%^1*:AC�)4'FHJ:A>?/1*2��i%=@XW[o�26)FS�%t-?-02 3 ¹MÃf�y��9Y©

3�« ¹ ®�«²i« ¹ �;h�nh=Ã;à ¹,Ãf�nÃF�nB

�O:<H~�*>?:A>?:<�F�v:Y@XW*:Y)*/;)k@A2�5?26%z3O26%K1*2�'*57@<2y-X%R+v:A>?@XW�M:Y�L'P%=C8'*)*�L'*:Y%=@A@</;>79;26HQ:<).-?/R5?2�@A:<>?@XWF2�1F2%=1*/_-?-X%_>?:�)*%=5?@A/;)*1*:x@A/;HV'*)*�L'*:x1F:<9;C82r28)*@</;).3=:<)*28:<).-02`1F/�34'F-?2`%=C¦S�%_-?-?/�@XW*:x)*/=)¬5?2`>726:A5?@</=)*/#%�P5750%=>7:]2�+*%=>0%=HQ:A-?>?2[28)R@</;)OSU/;>?HQ28-ts%V@</;)¶C6:&>7:<9;/;C8:&1*:<C8Cmln%=)P%=C826572Z1F26HQ:<)*5726/;)P%_C6: � b��),>7:q%=Cy-_s%#5?:A�*�Z:<)*:�C6:x1*'*:E5?/=C6'*GA26/;)*2D+*>?/;+Z/;5a-0:k5?:AHV�*>0%_)*/ :A5?57:<>?:�:<�L'*2y3=%_C6:<).-?2&26)í�L'P%=).-0/

+Z/;>7-0%=)*/p:A)L-?>0%=H~�v:R%_1#'*)#1*28¾v:<>7:<)*G<%p)*:<Ch)4'FHJ:A>?/x1*2,��%=@XWu1P%p'*)u+*'*).-?/x1*2°34265a-X% N 'F261*/41*2y·)P%=HQ26@A/^5?/;)F/z+*>7/=SU/;)*1P%_HJ:A)L-?:I1*28¾v:<>7:<).-02�:IHJ:A).-0>?:]C\%^+*>726HJ%^>?2657'*C8-0%^26)P%=@A@<:|-?-X%_�*26C8:=B*C6%Y57:<@A/;)*1P%ë[ì�ËtÏ°Ó=ÔAÖmÖ�Ù�Þ�Ù�ÐnÙnÑ0ÒÏhÎ7Ö�Ñ}ÍmÎa×jÏfÒÎ Ú Ö}Ï|Í}Î�ÐnÔgÖUÑmÎ7ÖmÖ�Ô�í Ú Ù¿Ø�Ôh×jÏ°Ï Ú ×gÎaË<ÑmÏ|Í}Ë�Î{пϰØ�Î7ËtÖ}Ù½ÑXÒÏ�Ë�Î7ÐnÐ6à Î7Ö}Ó_Î7Í}Ù�×gÎaË<Ñ}Ô%î�ïñðNòvîLó×jÏ»Ë<Ñ}Î7Ë�ÎaË_Ø�Ô�Ð�ÏeÕ|ÎaÐ�Ô�ݨÙnÑ0ÒÏ�Ø�Î7Ðt×gÔ�Ø�ÎaÐ�Ð�ÔeÓtÏ»ÍmÙ_Ï�Û Ú Î7ÐnпÏeØ�Î7ÐtÓ�ÍmÔ»ÑmÔ»ÑmÙnÓ=ÔeÎdÝaÔ|ËtÖ}ÎaÍmÕXÏ»ËtØ�Ô�Ð6à Ú Ü Ú Ï|Ü|Ð�Ù�Ï|Ë�ß7Ï�Ø�Î7Ð_Ë Ú ×gÎaÍmÔeØ�Ùô ÏAÝêõLá�âZà Ï Ú ×gÎaË<Ñ}ÔDØ�ÎaÐ�Ð�ÏrØ�ÎaË_Ö�ÙnÑ0ÒÏrØ�ÎaÐfí Ú Ù¿Ø�ÔrÓ Ú ÒÔDÎ7ÖmÖ�Î7Í}ÎeÔ|Ñ�ÑmÎaË Ú Ñmϧó;Ó_Î7Í�Î?Ö�Î7×hÓtÙnÔLó;Ï Ú ×gÎaË<ÑmÏ|ËtØ�ÔAË�ÎeпÏfÓ�ÍmÎ7ÖmÖ�Ù�Ô|ËtÎÎ`ݨÔ|Ë<ÑmÎa×gÓ_ÔAÍmÏ|Ë�Î7Ï|×gÎaË<Ñ}ÎDØ�Ùn×gÙ�Ë Ú ÎaËtØ�Ô|Ë�Î`пÏIÑmÎa×gÓ_Î7ÍmÏ»Ñ Ú ÍäÏ|ö Ó=ÎaÍjÎaÕqÙnÑmÏ|Í}ÎDÐ8à Ï Ú ×hÎ7Ë<Ñ}ÔVØ�ÎaÐ�Ð�ÏTÕ|Î7ÐnÔ�ÝaÙ½ÑXÒÏTØ�Î7Ð�Ö Ú Ô|Ë�Ô�÷Ï»Ë_Ýêõ�Î�Ö�Î�Û Ú Î?ÖUÑäÏ{Ö}Ô|Ð Ú ß7ÙnÔAË�Î[Í}Ù¿Ö Ú Ð½ÑäÏ�Î7Ö�Ñ}ÍmÎa×jÏ»×gÎaË<ÑmÎ[ÝaÔAÖ�Ñ}Ô<Ö}Ï�Î�Ó_Î7Í}ٿݨÔAÐnÔ<Ö}Ï{Ó=ÎaÍ�пÏ{Ó�ÍmÎ7Ö}ÎaË�ß?Ï{Ø�ÙtÜAÏAÖ*ÙnËgÓ�ÍmÎ7ÖmÖ}ÙnÔAË�Î|áOÊÌËÏ»ÜAÜ|Ù Ú Ë<ÑmÏgÛ Ú Î7Ö�Ñ}ÔrÖUÑmÍmÏ»ÑmÏ»ÜAÎa×g×jÏjØ�Ù�Õ|ÎaË<ÑäÏgÑmÏ|ËAÑmÔfÓ�Ù�ÒÚ Ô|ËtÎaÍmÔAÖ}ÔgÛ Ú Ï|Ë<Ñ}ÔfÓ�Ù�ÒÚ Ø�Ù�Õ|Î7Ë<ÑmÏjÜAÍmÏ|ËtØ�Î�пÏfÖ}Ý7ϻпÏfØ�Î7Ð4×gÔ�Ø�ÎaÐ�ÐnÔÎ&Ó�ÍmÔ�Ø Ú Ý¨ÎTØ�ÎaÐ�ÐnÎIã Ô|ÍmßaÎ&Î7Ö�Ñ}ÍmÎa×jÏ|×hÎ7Ë<Ñ}ÎIÎ7ÐnÎ7Õ0Ï»Ñ}Î]Ö Ú Ù�×hÔ�Ø�Î7ÐnÐ�Ù�Ï^Ý7Ï Ú ÖmÏ^Ø�Î7ÐnпÏYݨÍmÎ7ÖmݨÙnÑmÏ^ÝaÔ|Ë�î�øMØ�Î7ÐnпÏVÓ�ÍmÎ7ÖmÖ�Ù�Ô|ËtÎØ�Ù�ËtÏ»×gÙ¿ÝaÏtá

�;�; �ù4 ï­��D¥�§`�|��§`�°¡��¦¥{­*­4�g�v�D¢¦�d�|�j�j���`¢f� �nÇF�@</;5a-028-?'*2657@<:YC\%R+*>7/O@A:<1*'F>0%i:|¾µ:|-?-?283_%=HQ:<).-0:Q%=1*/_-?-X%t-X%w)*:<2eC\%_�v/;>?%_-0/=>?2mb sðº26)FS�%_-7-02�)F/=-0/¶)*:<C8C\% N 'O·261*/41*26)*%=HJ28@q%z@XWF:z9;C82�:A¾v:A-7-02�1*:<C8C\%R@</;HQ+*>726HQ26�*28C628-ts%Q28)�'F) N '*575?/p1F283;:A)*9;/;)F/p%=+*+F>?:<GAGq%=�F26C62�57/;C6/+v:A>])L'*HQ:<>72�1*2H��%=@XWûú�Ã+��ëwHJ:A).-0>?:Q%=C{1*2�5?/=-7-0/¶1*2��L'*:<5a-0/¶3=%_C6/;>7:^1*2�5?/;9=C62\%K28C N '*575?/i5?2�@</=HY·+v/;>a-X%R@</=HJ:Y26)F@</;HQ+*>?28HJ28�*26C8:=b��&'F:<57-?/�28HJ+*C826@<%z@XW*:Q+v:A>�3 üÁÃf�në¶28C�)L'*HJ:A>?/i1*2H��%=@XW�)*/;)ïs:'*)#+P%=>?%=HJ:|-0>7/p@XW*:R9;/�3;:A>?)P%x28C N '*575?/k:K�L'*28)*1*2g+*'ds/x:<5?57:<>7:w-?>0%=57@<'*>?%_-0/FbEÀrC6C6%iC6'F@<:R1*2°�4'F:<57-?/>?2657'*C8-0%_-0/w%_+*+P%=>7:z%=C8C6/;>?%K@XW*2\%_>?/¶@XW*:zC6%w+F>?26HJ%R5?/;C8'*G<28/;)*:Y@XW*:J1�s%ª3F«Å¹�Ãf��©w)*/=)�SU/;>7)*26>�s%w1*%_-0226)k5?28HJ28C628-?'*1*28)*:T1F26)P%=HQ26@<%K26)E�L'P%=).-0/i26C N 'F5?5?/i50%=>�s%¶28) N '*:A)*Gq%t-0/�1*%¶:|¾µ:|-?-02�1F2�@A/;HQ+*>?28HJ28�*26C828-_s%@XW*:Y5?/;)*/w%_5?5?:A).-02e)*:<C�SU:<)*/;HQ:<)F/¶>7:q%=C8:=b]ÀDC�@A/;).-0>?%=>?28/RC\%K5?:A@</;)F1P%R5?/;C8'*G<28/;)*:V@A/;)ý3�«å¹ Ãf�nÃF�nBSU/;>?)*28>ts%`1*:A2�>?2657'*C8-0%_-02O26)Q+v:A>7SU:|-?-X%I5?28HJ28C62y-0'*1*28)*:�1*26)P%_HJ28@q%`)*/;)F/;57-0%=).-0:¦C\%&1*28¾v:<>7:<)*G<%I-?>0%I2P)L'*HJ:A>?21*2���%=@XW[bw��)"�L'*:A57-0%�@q%_-?:<9;/=>?2\%w1*2 N '*575?2°>?26@<%=1*:J%=)*@XW*:JCml½:<57:<HQ+*26/w1*:AC6C\%w5?:AG<28/;)*:z+F>?:<@A:<1*:A).-0:K2@<'*2�>7265?'FC8-X%t-02µ57/;)*/Q�L'*26)*1F2[@</;>7>?:|-?-02}b�`'*:A57-?2F:<57:<HQ+*2F1F2F5?28HJ28C62y-0'*1*28)*:{3=:<)*9;/=)*/&@XW*2\%_Hz%_-?2L1*2#�K�u���u���u���P :�u¡>¢� :�þ�K�ÿ¦��K�¥£h+Z:<>�1*2857-?26)*9;'F:<>?C821P%=C6C6%p5?28HJ28C628-?'*1*28)*:J:A50%_-7-X%E26)u@<'*2j-?'F-?-?2¦2j+*%=>0%=HQ:A-?>?2f%=1F26HQ:<)*5726/;)P%_C62h57/;)*/E'*9;'P%_C62mbu��) �4'F:<57-?/@q%=HQ+v/~)*/;)R@<2µ5?/;)*/Y1*:AC6C8:D>?:A9;/;C8:D�P5?57:&Hz%V@A2[5?2µ%LkQ1P%^+*26'O-?-0/=57-0/V%=C6C6%T5?:A)*5?28�*26C828-ts%T:<1w:A5?+Z:<>?28:<)*G<%1*:<C8C6/#5?+Z:<>726HQ:<).-X%t-0/;>7:x@XW*:�@A/;)*/;57@<:E�L'P%=C62D+P%=>0%_HJ:A)L-?>?2`+F'�s/(-?>0%=57@<'*>?%=>?:k:k�L'P%=C82`26).3;:A@<:E1*:A3=:+*>?:A5?:<>a3_%=>?:&SU:<1F:<C6HQ:<).-?:]+Z:<>f/=-7-0:A)*:<>7:]>72657'*C8-0%_-02v'F-028C626GAGq%=�F26C62�28)¶+F>0%_-?26@q%Ob

õQõYö�� �K÷)�xýxþAù ýxþ��������{þ��püVú�÷�þ��¦ù� <ü~úeþ��)��L'*:A57-X%i5?:<GA26/;)F:JHQ/;57-?>?:A>?:<HQ/i%_-?-?>0%q3;:A>?5?/i1*:<9=C62�:<57:<HQ+*2e-026+F26@<2{@</;HQ:Y5?2�%=+*+*C826@<%wC}l�%_)P%=C6285?2�1*2y·HJ:A)*5?28/;)P%=C8:T%J+*>?/;�FC6:<HQ2d%=+*+*C826@<%_-02y3O2}b¹0¦28Hz%_)*:T28).-0:<57/K@XW*:V2d5?:A9;'*:A)L-?2�:<57:<HQ+*2{57/;)*/K57/;C6/z%=C6@A'*)*2-0>0%J2�+*>7/;�*C8:<HQ2�+*20s'i@A/;HV'*)*2�HJ:A).-0>?:_B[26)i9;:<)F:<>0%_C6:=Bµ�*2657/;9;)P%Q>?26@A/;>?>7:<>7:V%=C8C\%Q-?:</;>72\%Q+v:A>D-0>7/�3_%=>7:~29;>?'*+F+*2�%=1*28HJ:A)*5?28/;)P%=C82Z1F2�26).-0:A>?:<575?:_b

��� ��� ���������������������������! "����#$�%��&'&'()�*�+���)i�L'*:A57-X%J@q%_-?:<9;/;>72\%^>?28@q%=1F/;)*/Y-0'F-7-02�2 N '*575?2d26)¶@<'*2�'*)*/J57-?:<5?57/ N '*281*/b���P%_9;)P%FlP@A/;HJ+FC6:A-0%=HQ:<).-0:'*)*/Q/z+*20s'w@A/;>?+*2�:])*/;)i5?/;)*/J+*>?:A5?:A)L-?2dSU:A)*/;HQ:<)*2�1*2�57'*+v:A>7�P@A26:]C628�v:A>0%Fb�Ór)¶3;:<).-?/K26)i%_-0HQ/;5aSU:<>0%@XW*:f26).3;:A57-0:f'*)Q+P%=C6%=G<GA/*B;'*)µl�%='O-0/;HQ/;�*28C6:h@XWF:¦@A/;>?>7:f26)Y%='F-?/;57-?>0%=1*%FB.'*)J%=:<>7:</I26)V3=/;C6/I1*2*@A>?/4@<28:<>0%/�'*)�57/=-?-?/;HJ%=>?28)*/i28)"28HJHQ:<>75?26/=)*:Y+*>?/=SU/=)*1P%�57/;)*/�-?'F-?-?2 N 'F5?5?2°26).-0/=>?)*/�%�@</;>7+*2�26HQHJ:A>?5?2}bRÀDC@</;).-0>?%=>?28/*Bt'*)P%`)P%q3;:j28)~HJ%=>?:h%=+Z:<>7-?/`/`+Z:<>75?26)F/`'*)V57/=-?-?/;Hz%_>?26)F/r@A/;)^26C4+v:A>?285?@</=+*26/r26)~:AHJ:A>?5726/;)*:��/;575?2\%&@A/;)JC8/I5?@q%tSU/T28HJHQ:<>75?/I1*2P�L'P%=C8@XW*:rHQ:A-?>?/L�{)F/;)J+Z/;575?/;)*/]:<575?:A>?:`%_)P%=C628G<G<%_-02*)F:<C6C}l�%_HV�*28-?/`1*2�4'F:<57-0%Q57@XW*:<HJ%_-?26G<G<%=G<28/;)*:I26)w�L'P%=).-?/J2[SU:A)*/;HQ:<)*2[1F2�1*:ASU/;>7Hz%_G<26/=)*:&1*:<C8C\%V57'*+v:A>7�P@A26:IC628�v:A>0%V)*/=)3;:<)F9;/;)*/Q@</;).-?:<HQ+*C\%_-?2[)*:AC6C\%V57@<:AC8-X%^1*:A2�+P%=>?%=HJ:|-0>72[1*2�26).-?:<>?:A5?57:=b��)F1*26@<%=)*1*/T@</;)-,I'*)*%T9;:A)*:<>726@q%]9;>0%_)*1*:<GAGq%~1*%T1*:|-0:<>7HJ28)P%=>7:rC6%]>7:<C\%_G<26/=)*:f@XW*:`5?2Z'F-?26C628G<G<%I+Z:<>

�4'F:<57-0%Y-?26+Z/;C6/=9;2\%]1*2�+*>?/=�*C6:AHJ2�s:&C6%^5?:<9='*:<).-0:_�,]¹�¸���1f¯w�¨¯/.<¯0³P¯0´�¯|®h¯0²O�

26)¬@A'*2�1Çs:xC6%"1*28HJ:A)*5?28/;)*:p@<%=>0%_-7-0:A>?265a-028@q%"1*:AC`@</=>?+Z/*B��&-028:<)*:x28)¬@</=)L-?/uC6:x%=Cy-0>7:�1*28HJ:A)*5?28/;)*2��:A3=:<).-0'*%=C6HQ:<).-0:���+*'�s/z:A5?57:<>?:^1F:<C�-026+Z/?��.10�¹Á�;¯­�������y¯v3 +Z:<>¦@</=>?+*2d1*2�9;:</=HJ:|-0>?26%Q@A/;HQ+*C6:A5?50%;�|B2.@q%=>?%_-?-?:<>?28G<G<%VC\%V>?'F9;/;5?2y-_s%V57'*+v:A>7�P@A2\%=C8:=B*³�s:&C\%~1F:<)*5728-_s%^1*:AC N '*281*/*B*´xC6%V5?'P%^34265?@A/;5?2y-_s%V1*28)P%=HQ26@<%FB®�C6%¶3;:AC6/4@<2y-_s%i1F:<C6C6%i@A/;>?>7:<).-0:R28)*1*265a-0'*>7�P%_-0%i:<1u²kC\%w3;:AC6/4@<28-ts%�1*:ACh5?'F/;)*/*bFÓ¦)[ln285?+Z:<GA26/;)*:J1*:<C8C6:

�nÇ.� �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�1*28HJ:A)*5?28/;)*2.1*:A2O+P%_>0%=HQ:A-?>?2L:<C8:<)*@<%_-024>?2y3;:<C6%r28HJHQ:<1*26%_-X%_HJ:A)L-?:Z�¹MëD+v:A>{@A'*2O57:�,f)*/;)V28).-0>?/41*'*@A:1*28HJ:A)*5?28/;)*2[%_9;9;26'F)L-?283=:&C\%V>?:AC\%=GA26/;)F:`1*2�5?/=+*>0%Y5?2�+*'ds/JHQ:A-7-0:<>7:&)*:<C8C\%~SU/;>7Hz%

"'ç�¹V& z �1 ¯ .1 ¯ ³F®`±´ ¯ ® ² { ���C�+*>?28HJ/Q+P%=>?%=HQ:A-0>7/z1�s%QC6:T1*26HQ:<)*5726/;)F2�1*:<C8Cml½/;9;9;:|-?-0/Q26)¶SU/;>?HJ%Q%=1*26HQ:<)F5?26/=)P%=C6:_BP26C�57:<@</=)*1*/xs:~C6%>?'F9;/;5?2y-_s%w>?:AC\%_-?283_%FB�26C�-0:A>?GA/�26Ce)L'*HQ:<>7/�1*2�0¦:K�4)*/;C61F5T:A1�26Ce�L'P%=>a-0/�28Ce)4'FHJ:A>?/�1F2,��%_@XW[b�$&%_C6C\%>?:AC\%=GA26/;)F:]1F2d57/;+*>?%J5?2d+*'�s/J/;5?57:<>a3=%_>?:~@XWF:=Bµ1*%=)*1*/J+v:A>r57@</;).-X%t-X%zC6%Q5726HQ26C62y-0'*1F26)*:r9;:</;HQ:A-?>?28@q%i��26C@XW*:]26)*@AC6'*1F:T%_)*@XW*:]C\%^@</;)F1*26GA26/;)*:&57'*C6C6%^>?'*9;/=5?28-ts%^5?'*+Z:<>a�P@<26%=C6:q�|B�26C[+*%=>0%=HQ:A-?>?/�"'çf1*28+v:A)*1*:]5?/;C8/1P%=Cµ)4'FHJ:A>?/Q1*2O0f:W�4)*/;C81*5¦���T:I1P%=C�)L'*HQ:<>7/Q1F2���%=@XWª3�²Pbc�>?:<)F1*2\%=HQ/V@A/;HJ:&:A5?:AHJ+*28/^'*)¶%=:<>7:</^C6%V@<'*2µ3=:<C8/O@A28-_s%T1*2[@<>7/O@A26:A>0%V5?26%J®,¹C9.Ã=Ã;Ñ&HD®_Wz:<1w'*)

5?'F/^HJ/41*:<C8C6/T26)R5?@<%=C\%K�I�P��ÃV:&+F>?/�342\%=HQ/^%V@q%_C6@</=C\%=>7:D26Cv>0%=+F+v/;>a-0/~-?>0%^C6:¦SU/;>?GA:&1*2[>7:<5?2857-?:<)*G<%Q±ib�O'*+F+v/;)F:<)*1*/Y>7265?+Z:A-7-X%_-?2µ2[>?%=+*+Z/;>7-?2¬���:1(:<13.��:1jB*28HJ+Z/;)*26%=HJ/]+*>7:<C628HJ28)P%=>7HJ:A)L-?:rC6%~5?28HJ28C62y-0'*1*28)*:5?'FC[)L'*HJ:A>?/Q1*2O0f:W�4)*/;C81*5f%=575?'*HQ:<)*1F/J1*2�'O-026C826GAGq%=>7:DC6/^5a-0:A5?5?/ N '*281*/^+v:A>f@<'*2[´�¹M´Ú«rb � 5?57:<>a3O2 ·%=HQ/D28HJHQ:<1*26%_-X%_HJ:A)L-?:e@XW*:j5?:g+Z:<)F50%=575?26HQ/&1*2F%='*HQ:<).-X%=>7:hC6%r3;:AC6/4@<28-ts%r1*:AC*HQ/O1*:AC6C8/r1*24'*)^S�%_-7-0/;>7:��Ãj+Z:<>d@</;HQ+v:A)*50%_>?:�26C=S�%_-7-0/;>7:e1*2L5?@q%_C\%f9;:</;HQ:A-?>?28@</f/=-?-?:<>7>?:<HQHQ/¦'F)P%¦3=:<C6/4@<2y-_s%D®�«(¹C9.Ã=Ã;Ã;Ñ&HD®tW4 �;��Ã;Ã_HD®_5h@XW*:zs:I@XW*26%=>0%=HQ:<).-?:]28)P%=@A@<:A-7-X%=�F26C6:&28)w�4'*%=).-0/z28)w>?:<9=26HQ:I%=HJ+F2\%=HQ:<).-0:D5?'*+Z:<>75?/;)*28@</:&�L'*26)F1*2�)*/;)¶>?:A)*1*:<>7:<�*�Z:]+v/;575?28�*26C8:`)*:<HQHQ:<)*/YC\%V5726HQ26C828-0'F1*26)*:¦1*2857-0/=>7-X%Ob�O:^1*:A@<261F2\%=HQ/K%=C8C6/;>?%J1*2{C\%=57@<2\%_>?:~28).3=%_>?2\%t-X%JC6%z3;:AC6/4@<28-ts%z1*:AC6C\%J+*>?/�3_%i®�¹ ®65 C}ln'*)F26@q%J+v/;5¨·

5?28�*26C828-ts%T@XW*:]@<2�>726HJ%=)*:Vs:]%='*HQ:<).-0%=>?:&C6%Y1F:<)*5728-_s%^1*:AC N '*261F/Q1F:<C�HQ/O1*:AC6C8/V1*2[1*28:<@A2[3;/;Cy-0:I>?285?+Z:A-?-?/%^�L'*:<C8C\%V1*:AC�+*>?/=-?/=-028+v/FBF+*>7:<5?:A>73_%=)*1F/J@A/;5¨s Â�-X%_)L-?/YC\%V5?28HJ28C62y-0'*1*28)*:¦26)w���T�L'P%_)L-?/J�L'*:AC6C6%V26)23�²Pb0f26@</=>?1P%=)F1*/Y/;>0%^@XW*:]26C�@A/O:KkJ@A26:A)L-?:T1F2�>?:<57265a-0:<)FGq%is:I'*9='P%=C6:I+Z:<>f26CµHJ/41*:<C8C6/^:I+Z:<>f26C�+*>7/=-0/_-026+Z/*B+Z/;5?572\%=HQ/^5?@A>?283=:<>7:]+Z:<>fC8:`SU/;>?GA:=� �W��¹7�K�>«

±Æ� ³F® � 1 � ¹ ±�«

Æ� ³;«f® �« 1 �«±�«(¹ ³;«³ 1 �«1 � ±±�« ¹ ��qà ±

@</;)i$ê:T±�«¬SU/=>?Gq%^1*2�>7:<572657-?:<)*G<%Q>72657+v:|-?-02y3_%=HJ:A).-0:&5?'FC�+*>?/=-?/=-028+v/^:I57'*C�HJ/41*:AC6C6/FbÓr)wHQ/O1*/^5726@A'*>0%=HQ:<).-?:]+F2Xs'R5?:AHJ+*C826@A:`+v:A>j:A¾v:A-7-0'P%=>7:I�4'F:<57-0%J+*>7/�3=%OB*@</;)F5?265a-0:I)*:AC�@q%=HV�F2\%=>7:-028+v/R1F2 N '*281*/w:<1E'F-028C626GAGq%=>7)*:V'*)F/i@A/;)x3O285?@A/;5?2y-_s%RHJ28)*/;>7:V1*2��L'*:<C8C\%R1*:AC6Cmln%=>72\%Fb]��)��L'*:A57-?/�@q%_5?/5?2�1*:A3=:^�L'P%=5?2{5?26@A'*>0%_HJ:A)L-?:V>?28)L'*)*@<26%=>?:~%=C6C6%J5726HQ26C62y-0'*1F26)*:&28)F��%=@XW[Bv-0'F-7-X%q342\%K:<575?:A)*1*/w26CÙ��%=@XW1*:AC�+F>?/=-?/=-028+v/23�² 4 Ãf�në.�R5?2¦s:J9=26'*5a-0/i%=CeC626HQ28-?:~+Z:<>]+v/_-0:<>I-0>?%=5?@A'*>0%_>?:Q9;C62�:|¾µ:|-?-02e1*:AC6C6%w@A/;H^·+*>726HQ26�*28C628-ts%`:<1R'*)w�L'P%=C8'*)*�L'*:&:A5?+Z:<>?28HJ:A).-0/Y@</;)R'F)ª�i%=@XWwHJ28)*/;>?:r1*:<Cv3=%_C6/;>7:D-0>7/�3_%_-?/V1P%=>7:<�*�Z:>?285?'*Cy-X%_-?2µ5726HQ26C62}b¼`28:<)*:gC6%=5?@A2\%_-?/&%=C*C8:A-7-0/;>7:=B;@A/;HJ:°S�%=@<28C6:h:A5?:A>?@<28G<28/*B.C6/`5a-0'*1F26/&1*:AC6C\%r5?26HQ26C828-?'*1*26)F:�@A/;)Y'*) N '*281*/

1*2y¾µ:A>?:<).-?:=b

�;�; �ù4 ï­��D¥�§`�|��§`�°¡��¦¥{­*­4�g�v�D¢¦�d�|�j�j���`¢f� �nÇ;ë¯�°>¯�±p²�³nµ

��)J'*)P%~9;%=C6C8:<>?26%`1*:<C�3;:A).-0/~3426:A)*:D+Z/;5a-0/~'F)zHQ/O1*:AC6C8/]1F2Z57@<26%_-0/;>7:r1F'*>0%=).-?:D'*)J50%=Cy-0/R�U5?@A2)F/;>?1*28@</L�e@</;)z'*)P%V1*28HJ:A)*5?28/;)*:¦@q%=>?%_-?-?:<>?2857-?26@q%T1*2Ú9;Ã~@<H :<1R28)L3=:<5a-028-?/^1P%~'*)*%~3;:<C8/O@A28-ts%1F2ÙBi©=��h�ÑIH|®_Wi26)�'F)P%z@</=>?>?:A).-0:~1µl�%=@A�L'P%Fb&�O%=+v:A)*1*/K@XWF:VC\%Q>?:<57265a-0:<)FGq%z:TC\%J+Z/;>a-X%=)*G<%HQ2657'*>0%t-0:Q5?'*C°HJ/41*:<C8C6/w5?/=)*/x>?285?+Z:A-?-?283_%=HQ:<).-0:�9Yh=Ã=ê� :�hL9.Ã;Ã2�TBd@q%=C8@</;C6%=>?:QC6:YSU/;>?GA:@A/;>?>72657+v/;)F1*:<).-02d%q3L3;:A>7-02y-0:]1P%Y'*)*/Q5?@<26%_-0/=>?:I@</;)¶1*28HJ:A)*5?28/;)*:I@q%=>?%_-?-?:<>72657-?26@<%V1*2��YH�28)@A/;)*1*28G<28/;)*2�1*2h5726HQ26C62y-0'*1F26)*:^1*28)P%=HQ26@<%Fbxc�:A>?@XW�M:wC}ln:A5?+Z:<>?28HJ:A).-0/p)*/=)ís:K57-0%_-0/pS�%_-7-0/p28)%_>?2\%;ô

L

D

°>¼#½�¾�¿YÀy¼ÚÁ�Â��)�@</;)*1F26G<28/;)*2�1*2d5?28HJ28C62y-0'*1*28)*:D1F26)P%=HQ26@<%^HJ/41*:<C8C6/Y:~57@<26%_-0/;>7:T1F:A3;/=)*/R%q3;:A>?:VC8/J5a-0:<575?/0f:W�4)*/=C61*5^®�«%1�«,�;×s«Å¹�®�1��:×vB�® ¹�×P�;×s«ñÈi1�«��L1dÈO®�« ¹�h=Ãf��H|®_5<bQ�`@</4:WkQ@A26:<).-?21F2�SU/;>7Gq%K1*:|3;/;)*/¶:<575?:A>?:Y9;C62d57-?:<575?2�>?285?'*Cy-X%=)F1*/*�'�87i¹ �:1�«,�*��³;«j® �« � «g�r:^�L'*28)*1*2�1M¹³F® � � �97u¹ �;��Ç;Ãf�}9�� �}%q3=:<)*1*/k'*5?%_-0/kC6%i>?:AC\%=GA26/;)F: � � � « ¹Æ1 � �:1 �« �»bkce>7/O@A:<1*:A)*1*/%_)P%=C6/=9.%=HQ:<).-0:`+Z:<>fC6%V>?:<57265a-0:<)FGq%J572�WP%Y±�¹VÇ;Ç.���Tb�4:�Cml½:<5?+Z:<>726HQ:<).-0/gSU/=5?5?:e5a-X%_-?/gS�%_-?-?/j26)I%=>72\%FB�+Z:<>�HJ%=).-0:A)*:<>7:�C\%g5?28HJ28C62y-0'*1*28)*:�5?'*C=)4'FHJ:A>?/1F2�0f:W�4)*/;C81*5`50%_>?:<�F�v:^5a-X%_-0%K)*:<@A:<5?5?%=>?26%K'*)P%z3=:<C6/4@<2y-_s%¶®�«,¹��_�F�;���JHD®t5D5?@A/;)F�P)*%=)*1*/@A/;5�s Â�)F:<C�@q%_HJ+Z/Y1*:<2 N 'F5?5?2�@A/;HJ+F>?26HQ26�F26C62}b

�nÇ:9 �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�

¯�°>¯�±p²´³sµÓr)]9;>0%t-?-X%_@<26:AC6/f%=Cy-0/8�T@A/;)]'*)P%f+*2\%=).-0%f�L'P%_1*>0%_-0%¦1F2.5?'*+Z:<>a�P@<28: � 1F:A3;:�:<575?:A>?:h@A/;57-?>?'*2y-0/26)T'*)P%`G</=)P%D1*/�3;:jHQ:<1F2\%=HQ:<).-0:�5?2OWP%=)*)F/D3;:A)L-?2*1*243;:<C8/O@A28-ts%rHJ%=5?5726HJ%&®ï@</;)^'F)V+*>?/_�PC6/@</;HQ:�28)ï�P9;'F>0%Fbå��%=@A:<)*1F/�C6:i+*>?/�3;:x57'î'*)¬HQ/O1F:<C6C8/�28)¬5?@<%=C\%�¸L¸#26)¬@A/;)*1*28G<28/;)*2f1*25?28HJ28C628-?'*1*28)*:~1*28)P%=HQ26@<%K5?2e/=-?-?26:A)*:J'F)"@</4:WkQ@A26:<).-?:J1*2e>7:<5?2857-?:<)*G<%�+P%=>72°%NË����U�P%=5?%_-0/5?'*Cd3_%=C6/;>7:~1*2d3;:AC6/4@<28-ts%zHQ:<1*26%.�|b � %_C6@</=C\%=>7:T28Cd3_%=C8/;>?:T1*:<C8C\%J>7:<572657-?:<)*G<%R1*:<C�9=>0%_-7-X%=@A26:<C8/:IC6:&@</=)*1*26GA26/;)F2µ+Z:<>f'*)¶:<5?+Z:<>726HQ:<).-0/Y28)i%_@<�L'P%Fb

a

h

U

�K¹Å�sh=Ã^H Ë���¹,Ã+���ih ²V¹��-�=ë� ¹7Ç;Ã;Ã^H � ®,¹ �shVHD®_5 ¸L¸V¹ �]�=©;h:¹¢8�Ò�u�|¤X£:�þ¤�¦§�þ¦C =¢K�u��£;�w¢8<�K�þ�K�ÿ¢K¡>=n£ �+���u���?=@=n£A�w¢ ��£�K�CB@¢8�ED,¤K�¥¢GF9�w¦§¡@�ê£:�þ¢  =¢K�H �[£:���ê£=¤K�¥¢K�þ¦AI°¬¼#½�¾�¿YÀy¼#Á�Âó�%^3=:<C8/O@A28-_s%VHQ:<1F2\%ws:I1P%_-X%^1P%O�®,¹ ��KJKLU ®r1+MY¹ �� z J ãU ®�M² 1+M a JKLã ®r1+M { ¹ ���N ®D²� a ®^���? #²4�POk¹Å���+��hVHD�_5K�c�:A>�C6%`>?:A5?265a-0:A)*Gq%]± ¹,³ ® � �RQ Ë��E¹�ëf��©=ÃihÙÈ0��Ã_ÄZ�ê��:<575?:A)*1*/ �RQ C6%`5?'*+Z:<>a�P@<28:jSU>?/;).-X%_C6:1*:<C�9=>0%_-7-X%=@A26:<C8/V+P%=>72�% �RQ ¹,ë;Ã�È;�sh=Ã]¹C9Yh_Ã;Ã^H � bc�:A>RCml½:<5?+Z:<>726HQ:<).-0/FBj1*/�3;:<)F1*/u'*9;'P%=9=C62\%_>?:¶2D)L'*HQ:<>?2r1*2A0f:W�4)*/=C61*5K572&%q34>ts% ®A1��:×å¹®8«,1�«,�;×s« ®'«(¹ ®ßÈs1H�:1�«!ȧ×s«,�;×Q¹CB.�+��hVHD®t5<b

�;�; �ù4 ï­��D¥�§`�|��§`�°¡��¦¥{­*­4�g�v�D¢¦�d�|�j�j���`¢f� �nÇih¯�°>¯�±p²�³nµ

cd:<>`1F:A-0:A>?HQ26)P%_>?:~C6%J+Z/;>7-0%=)*G<%z1*2{'F)x%=:<>7:</w%=Cd1*:A@</;C8C6/z28)x%_-?HJ/;5aSU:<>?%J57-0%=)*1P%_>?1p3426:A)*::|¾µ:|-?-?'P%_-0/¶'*)E:<57+v:A>?26HQ:<).-?/¶28)k9.%=C6C8:<>72\%z1*:AC�3;:A)L-?/�57'�'*)EHQ/O1*:AC6C8/K26)k5?@<%=C\%¶¸§¸i:Y+v:A>HJ%=).-0:A)*:<>7:jC\%`5726HQ26C62y-0'*1F26)*:�1*28)P%=HQ26@<%r3426:<)F:j+*>?:A5?5?'F>?26GAGq%_-0%]C6%D9.%=C8C6:A>?2\%¦1*:<CO3;:<).-?/*b � %=Cy·@A/;C\%_>?:KC6%p+*>?:A5?5?28/;)*:R1*2h:<5?:A>?@A26G<28/k1*:<C8Cml½:<5?+Z:<>726HQ:<).-0/�50%=+Z:<)*1F/E@XWF:¶28Ch>?%=+*+Z/;>7-?/p-0>0%xC6%3=:<C8/O@A28-_s%E1*:<Cr+*>?/_-0/=-?26+Z/":��L'*:AC6C6%�1*:ACDHQ/O1*:AC6C8/ s:k®��.®�«rbê�F%_+v:A)*1*/#26)F/;C8-?>?:w@XW*:x5?'FCHQ/41*:<C8C6/~3426:A)*:IHJ285?'*>?%_-X%V'F)P%^+v/;>a-X%=)FGq%�1)«¬@q%=C8@</;C6%=>?:`C6%V+v/=>7-X%_)*Gq%Y5?'*C�+F>?/=-?/=-028+v/*bSTB@¦§���?=@=n£A�w¢ � H �P£:��� �þ¢ �ÿ¢K�UB@¢8�X£:���>��¢ =¢K�u�WV £A�v��£ ¡>¢K�u�WV ¢��XB@¢8�v�u�|¢K¡@�é¦ ¢ ¡>¢K�F�¢K¡>¦§�|¢K¡>¦Y�w¢X£:�þ¢ZI ¸Lºe¹ê�T�4�_à ®,�L®�« ¹ �n�=ë1�« ¹CÇ;Ãih_Ã;Ã��°>¼#½�¾�¿YÀy¼ÚÁ�ÂÓ¦)x%=:A>?:</w%_C�1*:A@</;C8C6/JWP%J3;:AC6/4@<2y-_s%z%_)*@</;>?%z@</=)L-?:<)L'F-?:=B�26Cd+P%=>?%=HQ:A-0>7/JSU/;)F1P%=HQ:<).-X%=C8:T1F25726HQ26C828-0'F1*26)*:&5?%=>ts%J�4'F26)*1*2�26C�)L'*HQ:<>?/R1F2�0f:W�4)*/;C81*5<b&���~¹����­«,26HQ+*C628@q%^@XW*:^³;«,�_³R¹´Ú«f®�1H�*�U´�®�«,1�«g�J¹��´È*®��.®�«VÈ��s�;¸§¸#¹ Bf��B;Bp/;575?2\%OB�:A5?57:<)*1*/�2g1*'*:RSU:A)*/;HQ:<)*2j%_C6C\%5a-0:A5?50%Y-0:AHJ+Z:<>?%_-0'*>?%¶�\[P³V¹C�8]�^`_bav���1[P«(¹7B+��B;B8[ U ¹7Bf��B;BY%_-0H¶b$&%_C6Cml½'*9;'*%=9;C626%=)*G<%~-0>0%J2{@</4:WkQ@A26:<).-?2{1*2�+v/;>a-X%=)FGq%D1î¹ 1�«ûÈt³=�_³;«`��®,�L®�«g� � È � � � «,¹B=Ã;ë;ë:9.Ã��]b ¯�°>¯�±p²�³nµ�¶265?'F>0%=)*1F/¦28C=@A/O:KkJ@A26:A)L-?:e1*2;>?:A5?2857-0:A)*Gq%f1*2;'F)T%_C6�Z:<>?/jHQ:<1F2\%=).-0:{'*)IHJ/41*:<C8C6/°26)I9.%=C8C6:<>72\%1F:<C*3;:A).-0/~28)Y5?@q%_C\%I¸Lº�572P/=-?-?26:A)*:j'*)Y3=%_C6/;>7:�Ë��hbe�F%_+v:A)*1*/I@XW*:¦Cmln%=C6�Z:<>7/`3O28:<)*:f28)L3=:<5a-028-?/1*%i'*)"3=:<).-0/�1*2�3=:<C8/O@A28-_s%p® @q%=C8@</;C6%=>?:YC8:Q@A/;)*1*28G<28/;)*2e5?+Z:<>726HQ:<).-X%=C82�+v:A>T>7:q%=C826GAGq%=>7:JC6%5726HQ26C828-0'F1*26)*:_bK�4:JC6%¶57'*+v:A>7�P@A26:QSU>?/;).-X%_C6:Q1*:<C8Cmln%=C6�Z:<>7/¶+F'�s/�:A5?5?:A>?:K5a-028Hz%_-0%¶@A/;HQ: � ¹Ã+��h;hLÖ � @q%=C8@</;C6%=>?:`C8:`SU/;>?GA:I1*2[>?:A5?2857-0:A)*Gq%Q5?'*C8Cmln%=C6�Z:<>7/V:I5?'*C�HQ/41*:<C8C6/*b

U

H

¸Lº�¹ �]�L� Öǹ �nB^H®,¹Å���VH|®_5 Ë���¹ �;�¿�=�

°>¼#½�¾�¿YÀy¼ÚÁ�ÂÀ8kQ)*@XW�M:T3_%=C89.%^C\%^5?28HJ28C62y-0'*1*28)*:¦1*26)P%_HJ28@q%V@<2�1*:|3;:]:<575?:<>7:VCml½'*9;'*%=9;C626%=)*G<%T-0>?%Q2�)L'*HQ:<>721F2)0¦:K�4)*/;C61F5&+v:A>&Cmln%=C6�Z:<>7/K:^+v:A>&26C�HJ/41*:<C8C6/J26)k9.%=C8C6:<>72\%Y1*:<C�3=:<).-0/i���Y¹ ���­«DB�/=5?5?26%®�1H�;×J¹å®�«,1�«,�;×s«rb6cd>0%_-7-X%=)F1*/;5?2Z+Z:<>�:<).-0>?%=HV�*2Z2�@q%=572v1*2v%=>72\%]%T+*>7:<5?5726/;)F:`%=HV�F26:<).-?:572DWP% ×å¹ ×s«�:i�L'*26)*1F2]®�« ¹ ®�1H�:1�« ¹ ®,�;¸§¸M¹ Ç:B"HD®t5x�å¡>¦§�¥£A�w¢F¤@d@¢ª¡>¦§¡fe¢�u�UB@¦��v�¥£:¡@�é¢� =¢gDZ¡@�E�w¢���£ H �[£:¡# =¢W=@=n£81ñ�u¡-h­�P£:¡@�ÿ¦´£:�u��£iDZ¡>¢'¢K¡@���[£´�u¡ H �¥¦n¤�¦'�n¦§�þ¦��u�jFW£:���é¦��w¢ :�%�n¤X£:��£w¸§¸L�|bN�`'*26)F1*2e1P%=C6C6%R1*:A�P)F26G<28/;)*:Q1*2e>?:A5?265a-0:A)*Gq%F�Y±é¹�³F® � �}Ãf��h;h:Ö � �[Ë��Ù�;��¹�nhO��ë;���å:]±�«(¹,³;«j® �« ��Ãf��h:h:Ö �« �åË��)�;�I¹Å�sh4��ë;���Tb

�nÇ;B �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�

¯�°>¯�±p²´³sµ�r:ACv+*>726HQ/]-?:<).-X%t-0283=/~1*2�3;/=C6/~@A/;)K:A5?28-?/~+Z/;5?2y-02y3;/R�¨�nÇ;Ã;ë;��2�SU>0%t-0:<C8C62fÐ�>?289;W.-h'F50%=>7/;)*/V'*)%=:<>7:</i@</;)�5?'*+Z:<>a�P@<28:K%=C6%=>?: � B�%=+Z:<>a-0'*>?%�%=C6%=>?:�1º@XW*:_B�'F-?26C628G<G<%=)*1*/w'*)P%i+v/=-?:<)*G<%ª�YB3;/;C¨s/z+Z:<>&%_C6@<'F)*:~1*:A@<28)*:V1*2d5?:A@</;)*1F2�%=1p'*)*%J3;:AC6/4@<28-ts%w®Tb � %=C8@</;C6%=>?:I26Cd@</4:WkQ@A26:<).-?:V1*2>?:A5?265a-0:A)*Gq%p1*:AC6C}l�%=:A>?:A/*bp�O%=+v:A)*1*/p@XWF:KC\%¶9.%=C6C8:<>72\%R1*:<C�3;:A)L-?/x1*:<2�SU>0%_-?:<C8C62�Ð�>?269=WL-T)*/;)+v/_-0:A3_%E@</;).-0:A)*:<>7:xHJ/41*:AC6C62h+*20s'ï9=>0%=)*1F2¦1F2�1�«rBj1*26>7:i57:p�L'*:<5a-02rSU'F>?/;)*/"26)ï9=>0%=1*/�1*2:A¾v:A-7-0'P%=>7:I:<5?+Z:<>726HQ:<).-02�28)w5?26HQ26C828-?'*1*26)F:¦1F26)P%=HQ26@<%Fb

S

L

� ¹�h;©VH � 1u¹ ��ëf�}9;9YH®,¹CB;Ã�ÑIH|®_W �å¹7hO�qÃ;Ã�Ð1�« ¹C9;ÃY@AH

°¬¼#½�¾�¿YÀy¼#Á�Â$&%=C6C6%E>7:<C6%=G<28/;)*:�� ¹ ±w® ��@A/;)í± C\%ESU/;>?G<%�1*2`>?:A5?2857-0:A)*Gq%;�z5?2`+*'ds/#5?@<>7283=:<>?:�� ¹³F® < � Ë����;�¦1P%r@<'*2fË���¹��:�8�*��³F® < � ��¹�Ãf�nÃ;ëF�;�=b{cd:<>�%q3=:<>?:jC6%r5726HQ26C62y-0'*1F26)*:�1F26)P%=HQ26@<%HJ/41*:AC6C6/D:¦+F>?/=-?/=-028+v/&1*:|3;/;)F/~%q3;:A>?:rC6/&57-?:<575?/~)L'*HQ:<>7/T1F2-0¦:K�O)F/;C61*5r�U+v:A>��L'*:A57-?:r�P%_5?5?:3;:AC6/4@<28-ts%x1*2j3;/;C8/L�|B�)*:¶@</;)*57:<9;'F:�@XW*:k®�«%1�«��:×s« ¹�®�1H�;×(/;575?26%#®�« ¹ì®�1��L1)« ¹h:B;Ã^H|®_5<b��`'*:<5a-X%Y3;:<C8/O@A28-ts%Y+F'*>7-?>?/;+*+Z/J%^-?:<HQ+v:A>0%_-?'*>0%Q%=HV�F26:<).-?:&1P%=>?:A�*�Z:T'*)w3_%=C6/=>?:1*:<Cr)L'*HJ:A>?/#1*2���%=@XWí+P%_>?2`% 3�²�¹ �;��B:9�28Cf@XW*:x26).3_%=C6281*:<>7:<�*�Z:�@A/;HQ+*C6:|-X%=HQ:<).-0:¶2>?285?'*Cy-X%_-?2�1*:<C8Cml½:<57+v:A>?26HQ:<).-?/*bi�lkmBf£A�K�ÿ¢��u�+FW£:���é¦�¤@d@¢���£ H £:�u�þ¢8�v��£ =¢K�6n:¢K¡@�ÿ¦ª =¢K�`F9�[£:�é¢K�u���o��v� H d=�'¡>¦§¡ñ¢8�X£ª�u¡ H �[£i =¦ª :�p�[£ HCH �u�=¡ H ¢8��¢Kn:¢K�þ¦n¤K�u�>e£�¤�¦n�>eq ¢K�þ¢8n§£:�ÿ¢@r�£sh­�@¢K�¹�é¢K�UB#��¡>¦§¡¢8�[£:¡>¦A¡>¢K���|¢K¡>¦�¡>¦§��� H ����¢gtA¢K������ =¢K�+¡@�=�|¢8�w¦´ :��u8¢8v§¡>¦§�� §�H�K�+��¤�¦n¢gwJ¤K�¥¢K¡@���> :�>B@¦��v�ê£:¡>=n£¢x�w¢��K�þ�K�é¢K¡>=n£yIKSK¡bFW£:�����,�`F9�[£:�é¢K�u���xoz�v� H d=�A¢gtA¢K�����P£A�w¦§¡>¦b�þ¢UB{��¦�n:¢��u¡ H £:�u�þ¢8�v��££2¡@�=�|¢8�K� :��u¹¢8v§¡>¦§�� §�|¤�¦§¡f�K�� =¢8�w¢8n:¦§���|¢K¡@�é¢|B#�}e��~�£§���K�, :�ph­�@¢K�u���� :��n:¦§�þ¦N¦§���é¢K¡>¢K¡# =¦b =¢K���v�þ�K�+���¥£:����n¦§��£:�|¢K¡@�é¢��u¡# :�¥¤X£:���Enn�2B@¢8���þ¢pB{�w¢��K�¥£C=­�¥¦§¡@�Z =¢K��B{�w¦§�ÿ¦§����B@¦AI

�;�; �ù4 ï­��D¥�§`�|��§`�°¡��¦¥{­*­4�g�v�D¢¦�d�|�j�j���`¢f� �nÇi©¯�°>¯�±p²�³nµÓ¦)k@q%=>a-0:<C8C6/;)F:~+*'*�F�*C628@<28-0%=>?28/z1*2{5?'*+Z:<>a�P@<28: � 3426:A)*:^26).3=:<57-?28-?/¶1*%w'F)p3;:<).-?/i@A/;57-0%=).-0:

1F2°3;:AC6/4@<2y-_s%E®�:K)*:<@A:<575?28-0%x1*2g1*'*:R+*%=C62�1*2h57/;57-?:<9;)F/E+Z:<>~@</;).-0>?%=57-0%=>?:RC}l�%_G<26/=)*:z1*:AC6C6%@A/;>?>7:<).-0:_b,�O:i'F)ï@q%_>7-0:AC6C8/;)*:w9;:</=HJ:|-0>?28@q%=HQ:<).-?:¶5726HQ26C8:k�}%=)F@XW*:�)*:AC6C6%EC8'*)*9;W*:AG<G<%�1*:A2+*%=C62\�I1*2°5?'*+Z:<>a�P@<28:z-0>726+*C6%¶3=:<)*285?5?:w28)L3=:<5a-028-?/p1P%p'*)*%p@</;>7>?:<).-?:w%�3;:<C8/O@A28-ts%i1*/;+F+*2\%�1F2�L'P%_)L-?2*+P%=C82[�U261*:A).-026@A2F%_2O+*>7:<@A:<1*:A)L-?2*-0>?%=)*)*:g@XWF:j+v:A>�C\%DC8'*)*9;WF:<G<G<%.��572*%q34>?:<�F�v:j�*285?/;9=)*/+Z:<>fHJ%=).-0:A)*:<>7:]2µ+P%=C62µ26)w+v/=5?26GA26/;)F:�ô

US �O'*9;9=:<>?28HJ:A).-0/*� @A/;)*57261*:A>0%=>7:�26)Ç:<)O·

-0>?%=HV�*2r2&@q%=572`26C N '*5?57/ 28)í>?:<9=26HQ:�1*2-0'*>7�v/=C6:<)FGq%î573426C8'*+*+P%t-X%î:<1Å%=+*+*>7/;5?572y·Hz%_>?:h28CO)L'*HQ:<>7/&1*:<2O+P%=C82F%=C8Cml½26).-0:A>?/¦+*20s'3426@<28)*/*b

°>¼#½�¾�¿YÀy¼ÚÁ�Â�4'*C�@q%_>7-0:AC6C8/;)*: %_9;26>�s% '*)P% >?:A5?2857-0:A)*Gq% ± ¹³F® � � Ë��)�;�w@XW*:K9;:A)*:<>?%=>ts%i'*)�HQ/;HJ:A).-0/p%_C6C\%R�P%_5?:1F:<2P+P%=C82��;3��*¹�3 ¹�±D��B.@</;)|3��*28C*HQ/;HJ:A).-0/&5?/=+O·+Z/;>a-X%_-?/E1*%E/;9=)*2g5?28)*9;/;C8/k+P%=C6/Fbuc�:<>Q26Ch@q%=>a-0:<C8C6/;)F:28)x5?@<%=C\%K572�%q3O>�s%b3�«º¹�±�«%��«�¹�³F® �« � «%Ë��)�;�L��«¦B1F/�3=:K5?2�:=l�-0:A)L'F-0/x@A/;).-0/p@XW*:z26CZË���s:JC6/¶57-0:A5?57/E28):A).-0>0%_HV�*2�2�@q%_5?2�26)w�L'P%=).-?/J28C N '*575?/�s:I28)¶>7:<9;28HJ:&1F2-?'*>?�Z/;C8:<)*G<%k5a3426C6'F+*+P%_-0%Fb(c�/;)*:A)*1*/ 3�« ¹�^¬3��j:>726@<%�3_%=)F1*/Y26COË��#1P%=C8Cml½:<57+*>?:A5?5?28/;)*:&1*2�3 5?2�/=-7-028:<)*:

^i¹ N ®�«® O � «� ��« � �I¹C9�È�ë�È Ê ë���9L�O¯%q3=:<)*1*/,%=+*+F>?/;575?26HJ%_-?/¬26C]>?285?'*Cy-X%_-?/¬%=C8Cml½26).-0:A>?/ï+F2Xs'+F>?/;575?26HQ/*b

S D

��� ��T� ���������+�x "��f�+�$#�()�+�� )�P(�������()�*��&'*%=)*1*/Q'*)p@A/;>?+Z/J572�H~'*/�3;:I-0>0%Q1*'*: N '*281*2�26HQHJ285?@<28�*26C82�/*B�26)¶HJ/41*/Q:<�L'*283_%=C8:<).-0:]'*)*/J1*:<2�1*'F:N '*261F2h5?2jH~'*/�3;:w26)#+*>7:<57:<)*G<%�/kHJ:A)*/k1*2g'*)u@A/;>?+Z/*B�5?2gWP%x28)*:A3428-0%=�*28C6HQ:<).-0:JC\%p1*:|SU/;>?HJ%=G<28/;)*:1*:<C8Cml½26).-0:A>7S�%=@A@<2\%¦-0>0%I2 N '*281*2*@A/;)JC6%&9;:<)*:A>0%=GA26/;)F:¦1F2P/;)*1*:¦/I@</;HV'F)*�L'*:r1F2*SU:<)*/;HQ:<)F2P@XW*:r@A/;26).3=/;Cy·9;/;)*/^57@q%=HV�F2[-0>0%^:A)*:<>79;2\%^@<28)*:A-?26@<%Y:&+Z/=-?:<)*GA2\%=C8:=be$`'*:&:A5?:<HQ+*2[-?26+*28@<2µ1F2��4'F:<57-?2 N '*5?572�5?/;)F/J'*)*%)P%q3;:f@XW*:f+*>?/41*'*@A:f1*:<C8C6:j/;)*1F:j1*'*>0%_)L-?:fC\%`5?'*%])P%q34269;%=G<28/;)*:g/;+F+*'*>?:f1*:AC6C}l�%=@A�L'P%`@XW*:¦+P%=5?5?%]1*%I'F)�P%=@<28)*/Q261*>726@</J%=1p'F)i�P'*HQ:V%t-?-0>?%q3;:<>75?/K'F)P%z1*289.%Fb¦�O'p'F)P%J57@q%=C6%J+*20s'¶+*28@<@</=C\%Y�4'F:<57-?2�SU:A)*/;HQ:<)*25?2{+Z/;575?/;)*/z/;5?57:<>73_%=>7:Y%=)*@XW*:^28)�'*)x�F26@<@XWF26:<>7:=B[HQ:A-7-0:A)*1*/K57'*C�SU/;)F1*/R'*)*/K5a-0>?%_-0/R1[ln%=@A�4'*%K:<1x26)

�nÇ;� �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�5?'F+v:A>7�P@A26:Q'*)*/p1[l½/;C826/*bJÀD9;2y-X%=)*1F/¶28Ce�*26@A@XW*26:A>?:Q5?2�/;5?57:<>73_%¶C\%RSU/;>?HJ%=G<28/;)*:Y1*2��n/;)*1*:J26).-0:A>?)*:_ldC6%@<'F2�1*26)P%_HJ28@q%zs:]%=+*+F'*).-0/Q>?:<9=/;C\%_-0%V1P%VSU:<)*/=HJ:A)*2�1*2�5?'F+v:A>7�P@A26:IC628�v:A>0%Fbc�:A>i�L'*:A57-02 N 'F5?5?2I'*)*%(�L'P%=C8'*)*�L'*:E�L'P%=).-02y-_s%#26)*@A/;9;)*2y-X%�,#5?%=>ts%u:<57+*>?28HJ28�*26C8:i-0>?%=HQ28-0:�'*)P%

>?:AC\%=GA26/;)F:`1*:<C[-?26+Z/*�,]¹�¸��U´�¯0³P¯A®°¯X&Z¯/�v¯@.<¯�1j¯����

26)"@<'*2,&ïs:KCmln%=@A@<:<C8:<>?%=G<28/;)*:K1*2h9;>0%q3428-ts%�:z�íC\%i-?:<)*5726/;)*:R57'*+Z:<>7�*@<2\%_C6:=bE��)u�P%=57:w%=Ch-0:A/;>?:AHz%p1F2ñh'*@XòL28)*9;WP%=H¶B*�L'*:A57-X%Q:<57+*>?:A5?5?28/;)*:Js:I:<�L'*283_%=C8:<).-0:I%_C6C\%V57:<9;'F:<).-0:ISU/;>?HJ%F�

"8çh¹7� z �1 ¯ .1 ¯ ®Ê &+1 ¯ ®�1�³´ ¯ ³Y1h® �� { �a�=�;b�©=�26)R@A'*2�@</=HJ+P%_26/;)*/^2�)L'*/�342�+P%=>?%=HJ:|-0>72

Ìp�`¹ ³Y1h® �� : Ä��I¹ ®Ê &+1 ¯@XW*:Q5?/;)F/i>7265?+Z:A-7-02y3=%_HJ:A)L-?:Y26C�)L'*HQ:<>7/i1*2)Ð�:<�Z:<>]:<1�26C�)L'*HQ:<>7/i1*2��P>?/='*1*:=bQ��Ce+*>?28HJ/R-?26:<)F:Q28)@</=)L-?/z-0'O-?-02�2dSU:A)*/;HQ:<)*2�>?:AC\%_-?28342d%=C6C6%Y-?:<)*5726/;)*:~5?'*+Z:<>a�P@<26%=C6:T:V50%=>�s%K26HQ+v/=>7-X%_)L-?:T+Z:<>r1*:<57@<>7283;:A>?:C\%K1F26)P%=HQ26@<%K5?'�+*26@A@</;C6%w57@q%=C6%FbY��Ce)4'FHJ:A>?/¶1*2e�P>?/;'*1F:=B�%=C�@</=)L-?>0%=>726/*B�:A5?+*>726HQ:Q28C�>0%_+*+v/=>7-0/R-?>0%C6:&SU/;>7G<:]1[l½26)*:A>?G<26%Q:]�L'*:<C8C6:I1*2d9;>0%q3428-ts%^:<1�s:]'*)�+*%=>0%=HQ:A-?>?/Q>?28C6:A3_%=).-?:]+Z:<>f-0'O-?-02�2�SU:<)F/;HJ:A)*2�@XW*:@</=26).3;/;C89;/;)*/^�F26C\%_)*@<2v1*2�:<)*:A>?9;26%^+v/=-?:<)*GA2\%=C8:=b�z+P%_>0%=HQ:A-?>?2����:1�:A1�.w�:1�5?/;)F/ 9;C82D5a-0:<575?2]1*2657@<'*575?2I)*:AC6C\%�57:<GA26/;)*:E+*>7:<@<:A1*:<).-?:":k@</;28).3;/;C ·

9;/;)F/�C\%"5726HQ26C828-0'F1*26)*:R9=:</;HQ:A-?>?26@<%FbÅ�`'*:A57-02D1*2D57/;C62y-0/�572D5?'F+*+v/=)*9;/;)*/#5726HQ26C82f%=)*@XW*:x57:xHz%=)4·-0:A)*:<>7:gC\%r5?26HQ26C828-?'*1*26)F:�5?'*C8C\%¦>?'*9;/=5?28-ts%D>?:AC\%_-?283_%f+*'�s/I%=C8C6:e3;/;Cy-0:h>72657'*C8-0%=>?:°1*2F1*2�kQ@<26C8:°>7:q%=C826GAGq%=GA26/;)*:5?+Z:<>726HQ:<).-X%_C6:=b��CF)L'*HQ:<>7/&1*2P0f:W�4)*/;C81*5�:A5?+*>726HQ:g%=CO5?/;C828-0/r26CL>0%_+*+v/=>7-0/r-0>0%`C8:°SU/;>7G<:g1µln28)*:<>7G<2\%r:g�L'*:<C8C6:°34285?@</=5?:

:~C6%z5?'*%K26) N 'F:<)*G<%z5?'*C�SU:<)*/;HQ:<)F/z3_%J3_%=C6'F-0%_-X%Q@q%=57/R+v:A>`@q%_5?/*b��¦:<2 N '*5?572�26).-?/;>?)*/K%z@q%=>7:<)*:^1F2)P%q342�/J1*269=W*:=BZ26C�)L'*HQ:<>7/K1*2�0¦:K�4)*/;C61F5~s:~57/;C62y-X%=HQ:<).-?:]1F:<C6C}ln/=>?1*28)*:I1*:<C8C6:I@<:A)L-?26)P%_2\%J1F2dHQ26C826/;)F2µ/HQ26C626%=>?1F2O28)*1*26@<%=)*1*/]@XW*:r26C N '*575?/V572Z-?>?/�3_%T28)J>7:<9;28HJ:f1*2P-0'F>?�Z/;C6:A)*Gq%]573426C8'*+*+P%_-0%Fb{��)J�L'*:<5a-0/^@q%_5?/C\%Y1*28+v:A)*1*:<)FGq%J1F:<C N '*5?57/K1P%=Cd)L'*HQ:<>?/J1*2�0¦:K�4)*/;C61F5D1*2y3;:<).-0%J-0>?%=5?@A'*>0%=�F26C6:I>7265?+Z:A-7-0/z%=9;C62µ:A¾v:A-?-?21*:A9;C62d%=Cy-0>?2�+*%=>0%=HQ:A-?>?2d:~+*'ds/K:<575?:<>7:^5?:AHJ+*C828�P@<%_-0/Q1P%=C8C\%Y>?:AC\%=GA26/;)*:J�¨�;�;b�©;�|b��`'*:<5a-X%z/;+Z:<>?%=G<28/;)*:_B-0'O-?-X%q342\%OB*)P%=57@</;)*1F:~'*)[l½26)F5?261F2\%V26)¶�L'P%=).-0/JCml½:<C826HQ26)P%=GA26/;)F:r1*2����T1P%=C6C6%w�a�;�=b�©;�h)F/;)�28HJ+*C826@<%~@XW*:)*:AC[SU:<)*/;HQ:<)F/Q)F/;)i@A2�5?/;)F/J:|¾µ:|-?-02[34285?@</=5?2�Hz%^57/;C6/^@XW*:]C\%^C8/;>?/^:A)L-?28-ts%Y)F/;)i1F26+Z:<)*1*:I1P%_C[3=%_C6/;>7:1*:ACd)L'*HQ:<>7/J1F2�0f:W�4)*/=C61*5AoZ@A2as/Q26HQ+*C628@q%V@XW*:]�L'P%=)*1F/z5?2d>?:<%=C628G<G<%YC}ln:A5?+Z:<>726HQ:<).-0/Y26)¶5?@<%=C\%Y5?2�1*:|3;::<575?:A>?:h5726@A'*>?2L@XW*:°�4'F:<57-?/I%q343=:<)*9;%D26)]>?:A9;26HQ:e1*2.-0'*>7�v/;C8:<)*G<%¦5a3426C6'F+*+P%_-0%¦@A/;5¨s Â4@</;HQ:�)*:<C.SU:<)F/;HJ:A)*/>?:<%=C6:_b� /;)*57261*:A>?2\%_HJ/`@A/;HQ:j:<5?:AHJ+F26/&26CO@q%=57/I1*2*'*)P%&1*289.%`@</=)Q1F26HQ:<)*5726/;)*:h@q%=>?%_-?-?:<>?2857-?26@q%�1�¹��=Ã=H

:Y+v/=>7-X%t-X%K+P%=>72e%���¹ ���:h�H < �t5<B�26C�@A'*2�HQ/O1*:AC6C8/ks:Q28)k5?@q%_C\%x�R���shK1P%w@<'*2�>72657'*C8-0%w@XWF:|1�«ê¹1H�O�shI¹ �:��ë;ë�H¶bó�%]57@q%=C6%]1*2P3=:<C6/4@<2y-_s%I)*:<C8C\%&1*289.%&>?:q%_C6:¦50%=>�s%^®�¹����:�K1 �/� @</=)D�j@</;5a-X%=).-?:r@XW*:r1*26+Z:<)F1*:r1*%=C6C6%

9;:A/;HJ:|-0>72\%~1*:AC6C6%V1*269.%^:IC\%V+Z/;>a-X%_-0%Y1F:<C�HQ/O1*:AC6C8/Rs:&�L'*26)*1F2��« ¹C�q®�«,1 �« �

�;�; �ù4 ï­��D¥�§`�|��§`�°¡��¦¥{­*­4�g�v�D¢¦�d�|�j�j���`¢f� �nÇ;Çc�/;28@XW%M:~28)��L'*:<5a-0/R@<%=5?/R)�M:T26C�)L'*HQ:<>?/z1*2�Ð�:<�Z:<>D)%M:~�L'*:AC6C6/J1*2�0¦:K�O)F/;C61*5r@</;).-0%=)*/*Bv26HQ+v/;)F2\%=HQ/C\%V5?28HJ28C62y-0'*1*28)*:¦5?'*C�)L'*HQ:<>7/Q1F2���>7/;'*1*:_�

®�«Ê &L«�1�« ¹ ®Ê &+1 ¯®�« ¹ z &§«& { Æ�� � N 1)«1 O Æ�� � ��W1 � ¯

:<5?57:<)*1F/2&�¹ &A5zbY$&%=2�@q%=C8@</;C82�S�%_-7-02�57'*C6C6%K5?@<%=C\%R1*:AC6C6:T3;:<C8/O@A28-ts%w1F:<C�+*>7/=-0/=-?26+Z/K:Y5?'*C8C\%K+Z/;>7-0%_-X%5?HJ%=C8-?28-X%]1P%=C�HQ/O1F:<C6C8/*B4>?2657'*C8-0%F�

®�«u¹ �Ê �sh ��W1 � ¯��«(¹7� �Ê �sh ��W1 � 1 �« ¹,Ãf�y��9.ë�H < �_5W�

¼e:<1*26%=HJ/^@A/;50%Y%=@A@q%=1F:~%=C8C\%~57@q%=C6%^1*:<2[-?:<HQ+*2m�4&®1 ¹ 4#«¦®�«1�« ¯

4Ú«(¹ ®A1�«®�«%1 4M¹ �æg7���*�æg7A��1�«1 4f¯

4#«(¹ ���«�N 1�«1 O < 4M¹,Ã+�¿�;h_�L4¹���Cg>?285?'*Cy-X%_-?/p/=-?-?:<)L'F-?/�28)*1*26@<%p@XW*:wCmln%=)P%=C826572°1*28HJ:A)*5?28/;)P%=C8:z+Z:<>7HJ:|-?-0:R1F2j@</;5a-0>?'F26>?:RHQ/41*:<C8C62e)*:<2�4'*%=C62f26CfSU:<)F/;HJ:A)*/�572D573428C6'*+*+*%�+*20s'(3;:AC6/4@<:<HQ:<).-?:=bÅ�`'*28)*1*2¦5?:p28C¦SU:A)*/;HQ:<)*/�28HJ+F26:<9;%��§9�/;>?:+v:A>`573426C8'*+*+P%_>?5?2�)*:<C8C\%z1F269.%FBv)*:<C{HJ/41*:<C8C6/J26HQ+*26:A9.%Q57/;C6/bBK/=>?:=Bµ+v:A>`@<'*2js:~+v/;575?28�*26C8:=Bµ+Z:<>D:<5?:AHY·+*26/*Bv+*>?:|3;:A1*:<>7:Q-?:<HQ+v:A57-02y3_%=HJ:A).-0:VC}ln:|3;/;C8'*G<28/;)*:~1F2�'*)k26)*@A261*:A).-0:V@A/;)k'*)P%K5?+Z:<>726HQ:<).-X%_G<26/=)*:V26)C\%=�Z/;>0%t-0/;>726/*b

�=Ã;à �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�

¯�°>¯�±p²´³sµc�:A>D'*)p+F>?/=-?/=-028+v/Q1*2d)P%q3;:VC8'*)*9;/z�=Ã;ÃQHiB�1*:AC�+Z:<57/K1*2���Ã Ä -?/;)*)*:AC6C\%t-0:I:~@A/;)�3;:AC6/4@<2y-_s%1*2�@<>7/O@A26:<>?%]1F2����T)*/41*2}B;3O28:<)*:¦>?:<%=C628G<G<%_-0/I'*)JHJ/41*:<C8C6/&28)J57@q%=C6%~¸§¸V¹Å�I�Lë;ÃFb � %=C6@A/;C\%=>7:C6:J@</;)*1F26G<28/;)*2�5?+Z:<>726HQ:<).-X%=C82°+Z:<>~'*)P%p+*>7/�3_%p57'*ChHQ/O1F:<C6C8/i28)#5?28HJ28C628-?'*1*28)*:^1*26)*%=HJ28@q%Fb�`'P%=C6:J1*/�34>ts%x:<575?:<>7:w26Ch+Z:<57/x1*:<ChHJ/41*:<C8C6/Lô � 28-0%=>?:K9=C62°%=@<@A/;>?9;28HJ:A).-02�@XW*:w1*/�3O>?%=)*)*/:<575?:<>7:g+*>7:<5?2O+v:A>�9=C62L:A3=:<).-0'P%_C624+P%=>0%_HJ:|-0>?2L)*/=)~26)T5?28HJ28C628-?'*1*28)*:f��5726HQ26C828-0'F1*26)*:�1*265a-0/;>a-X%.�»b°¬¼#½�¾�¿YÀy¼#Á�Â��)"�L'*:A57-0/�+*>?/;�FC6:<HJ%FBd%q3;:A)*1*/pC6%¶57'*+v:A>7�P@A26:JC626�Z:<>?%R'*)">7'*/;C6/RSU/;)F1P%=HQ:<).-X%=C8:Y�*2657/;9;)P%Hz%_)L-?:<)*:A>?:RC6%p5?26HQ26C828-?'*1*26)F:^26)u�P>?/;'F1*:�®,� Ê &+1�¹ ®�«,� Ê &L«�1�«DBe:A1(:A5?57:<)*1*/�C6:R%_@|·@<:AC6:<>?%=G<28/;)*2�1F2�9;>0%q3428-ts%K261*:A)L-?26@XW*:Y572�W*%p®�«å¹ ®�� 1�«,�:1º¹�®/Ê ¸L¸i¹ ë+�¿�=�:Bw)F/O1*2�¹�;��B;Ç^HD®_5Ab�O:D28CP>0%=+F+v/;>a-0/]1*2Z5?@q%_C\%&-0>0%]C6:¦1*26HQ:<)F5?26/=)*2*C628)*:q%_>?2�s:&¸§¸*BO28C�>0%=+*+Z/;>a-0/I-0>0%]2P3;/;C8'*HJ2P5?%=>ts%¸ <¸ :]C8/^57-?:<5?57/z1*/�34>ts%Y>?285?'*Cy-X%=>7:&+v:A>jC6:`SU/;>7G<:I+Z:<5?/Fb%�`'*28)*1*2O��«(¹7�8�;¸ <¸ ¹�ëi©_Ã;ë�Ñ&9*bc�:A>~26C�)L'*HQ:<>7/�1*2H0f:W�4)*/;C81*5<B�5?:Q5?2�'*50%¶C6/¶57-?:<5?57/ N '*281*/#��×�¹ ×n«j�`572h%q34>ts%F�~���­«�¹®�«,1�«,�;×s«(¹º®/Ê ¸L¸�È�1�¸§¸/È_�s�;×Y¹����,Èq¸ < � �¸ beð�5?5?:A)*1*/Q2[)L'*HQ:<>?2µ1*2O0f:W�4)*/;C81*5g1*2y3;:<>75?2��5726HQ26C62y-0'*1F26)*:�1F2657-?/;>7-0%.��5?241*/�3O>�s%D:<575?:A>?:j5?28@<'*>72O@XWF:g:<).-0>?%=HV�*242 N '*5?572F572\%=)*/D)*:<C8C6/¦57-0:A5?57/>?:A9;26HQ:Y�U-?'*>?�Z/;C8:<).-0/L�»b ¯�°>¯�±p²´³sµc�:A>°5a-0'*1*26%=>?:¦C6:j@<%=>0%t-?-0:A>?2857-028@XW*:¦1*2P'*)P%]1*269.%&)*:f3426:A)*:r>7:q%=C826GAGq%_-?/]'F)zHQ/O1*:AC6C8/`26)Q5?@<%=C\%ÄÙ¸PbD�O:VC\%Q+v/=>7-X%t-X%J@XWF:V5?HJ%=C8-?2657@<:]26C�HJ/41*:AC6C6/ws:��/«rBµ�L'P%=C8:T5?%=>ts%JC\%J+Z/;>a-X%_-0%J5?HJ%=Cy-028-0%1P%=C8C\%V1*289.%Q>7:q%=C8:�ô � /;HQHJ:A).-X%=>7:]C8:I26+Z/=-0:A5?2[S�%_-7-0:]:<1�28Cµ-028+v/Q1*2�5726HQ26C62y-0'*1F26)*:r/=-?-?:<)L'F-X%��:A50%_-7-X%Y/Q1F2657-?/;>7-0%.�|b�v�¥¤�¦��X i£y ' :�u�|¢K¡f�K�¥¦§¡#£:���|¢K¡@�é¢��=¡#£�B@¦��9<�ê£:�¥£��u¡Kn:¦§���=�|¢ze¢, i£:�ꣴ i£A�+¡#£�n:¢K�þ¦n¤K�u�>e£B@¢8���+¡#£��K�CB@¢8�ED,¤K�¥¢ZI ¸§º�¹Å�I�4�=Ã;à �/« ¹VÇ;Ã^Cu®_H°¬¼#½�¾�¿YÀy¼#Á�Âð�5?5?:A)*1*/w'*)�SU:A)*/;HQ:<)*/z@</;)x57'*+v:A>7�P@A26:VC826�Z:<>?%Q�*285?/;9=)P%J+*>7:<57:<>73_%=>7:^C\%Q5?26HQ26C828-?'*1*26)F:`26)�P>?/;'*1F:=bh®,��� �u&+1°�e¹º®65���� �u&f1¡5^�h1*%Q@A'*2{®,¹ê®15¢� ��1H�:1¡5^�e¹ê®15¢� �¨�s�;¸§¸L�|bó�%z+v/=>7-X%t-X%J5?%=>ts%¢�Á¹ ® � ¹Á®15¢� �a�s�=¸L¸L�)È � 5��=¸ �¸ ¹���5��:Ä ÄP� �¸ ¹Ãh=��Ã;Ç/È4��Ã;ÉDCt®_HJ28)�}�:9;�f��htH < �_5X�»b

��g U�l£ �����������¤��(¥����(¦&§�i " 2¨$����(©�*�¡���¡���*�0f265?+Z:A-7-0/j%_9;C62_:<5?:AHJ+F2;+*>?:A@<:A1*:<).-0:AHJ:A).-0:h:AC6:A)*@q%_-?2mB�)*:AC6C8:�Hz%_@<@XW*28)*:�>?/_-X%=).-02=:<).-0>?%f@A/;HQ:�+P%=>0%_HJ:|-0>?/SU/;)*1*%=HJ:A).-X%=C8:°C6%r3;:AC6/4@<28-ts%D1*2O>?/=-0%=G<28/;)*:=b�Ór)*%`�4'*%=C6'*)F�4'F:j9;>0%=)F1*:<GAGq%$,r572*+*'�s/&�L'*28)*1*2O:<5?+F>?26HQ:<>7:1P%=C8C\%~>7:<C6%=G<28/;)*: ,I¹º¸{��1j¯���¯@.<¯@�Y¯0´�¯?³P¯�·f�:<575?:A)*1*/K�ÅC6%~+v/=>7-X%t-X%T57Hz%_C8-02y-X%I1P%=C8C\%THJ%=@A@XW*26)P%T:<1b·íC\%T57'P%~3;:AC6/4@<2y-_s%~1*2v>?/=-0%=G<28/;)*:_be�O2µ)F/=-0:A>ts%@XW*:p)F/;)ês:p57-0%_-X%�26)*57:<>?2y-X%E'*)P%�5?@<%=C\%�1*2r3=:<C6/4@<2y-_s%#®28)¬�L'P%=).-0/#�L'*:A57-X%îs:p>726@<%�3_%=�F26C6:w572\%"1P%_C

�;�; �ù4 ï­��D¥�§`�|��§`�°¡��¦¥{­*­4�g�v�D¢¦�d�|�j�j���`¢f� �=ÃF�>0%=+*+Z/;>a-0/k-0>0%k+Z/;>7-0%_-X%�� :A1ï'*)*%"5?'*+Z:<>a�P@<28:i@<%=>0%t-?-0:A>?2857-028@q% � ��ª 1 � �^5?26%E1*%=C6C6%x3=:<C8/O@A28-_s%k1*2>?/=-0%=G<28/;)*:I%_-7-0>0%q3=:<>?57/w®�¹C·�1fb�0f26@</=>?>?:A)*1*/Q%=C[-?:</;>7:<HJ%Y1F2�ñh'*@XòL26)*9=WP%=H C\%V>7:<C6%=G<28/;)*:I%=+*+Z:<)*%5?@<>728-7-X%^5?2�>7261*'*@A:I%F� "'ç°¹J&Dz �1 ¯ .1 ¯ �·�1 < ¯ ·�1 � ³´ ¯ ·�1²C{ ��K+P%=>?%=HJ:|-0>72/���L1�:«.��L1�5?/;)*/(�P5?5?%_-02]1P%=C8C\%#5?28HJ28C62y-0'*1*28)*:�9=:</;HQ:A-?>?26@<%#HJ:A)L-?>?:E26C&)L'*HQ:<>7/ï1*20¦:K�O)F/;C61*5����`¹C·�1 � ³=�_´K+F'�s/&:<575?:<>7:j-0>0%_5?@<'F>0%_-?/&5?:g28CO>7:<9;28HJ:°1*2 N 'F5?5?/&-?>0%`+*>7/=-0/=-?26+Z/D:gHQ/41*:<C8C6/s:�C8/j57-?:<5?57/*b�cd:<>d26C;)L'*HQ:<>7/r1*2=�i%=@XW�3 ¹C·�1H�=²D3_%=C89;/;)*/jC8:�@</;)*57261*:A>0%=GA26/;)F2;S�%_-?-?:�)*:<2L+*>7:<@<:A1*:<).-?2:<5?:AHJ+F2mBg�L'*28)*1*2D572r+F'�s/"-0>?%=5?@A'*>0%_>?:p57:p+*>?/_-0/=-?26+Z/�:iHJ/41*:<C8C6/kC\%q3=/;>0%=)F/":<).-?>0%=HV�F2D)*:ACr>7:<9;28HJ:3 üíÃf�nëV%=Cy-0>726HQ:<).-02P5?%=>ts%~'F)R+P%=>0%_HJ:|-0>?/T1*2Z5?26HQ26C828-?'*1*26)F:j1P%~>?285?+Z:A-7-X%=>7:=b���Cv>0%=+*+Z/;>a-0/Y���*��·�1 � �s:&26C[@A/O:KkJ@A26:A)L-?:T1F2 N '*5?57/|� � :<1"s:&'F)i+P%_>0%=HQ:A-?>?/^SU/;)*1P%_HJ:A)L-0%=C6:D+v:A>¦C6%V5?28HJ28C628-?'*1*28)*:=b�¦:<C8C6:`HJ%=@<@XWF26)*:&>7/=-X%=).-?2[26C[+*%=>0%=HQ:A-?>?/�"8çj+*'�s/Y:<575?:<>7:~28Cµ>?:A)*1*28HJ:A)L-?/ý~�¬+�FBF26Cµ@</4:WkQ@<28:<).-0:I1*2+*>?:|3=%_C6:<)FGq%�~X�8­H�Q/;+*+*'F>?:I26Cv@</4:WkQ@<28:<).-0:]1*2�+Z/=-0:A)*Gq%ý~X�9®>�*B*1F:A�P)*2y-02�@A/;HJ:&57:<9;'F:=�

¬Y¹ �¥¯�¥° ¯ �j­u¹ &P�· � 1 � ¯ �8®i¹ �¥°³Y· � 1 � ¯

@</;)2�¥°{+v/=-?:<)*G<%J28HJHQ:<5750%FB@�¥¯x+v/_-0:<)FGq%J'O-026C8:&:<1�iC\%Y+*>?:|3_%=C6:A)*Gq%Y@<28/Ps:ICmln%=C8-?:<G<G<%^1*:<C8C\%^@</;C8/;)*)P%N '*261*%`:<�L'*283_%=C8:<).-0:f%_C6C\%r1*28¾v:<>7:<)*G<%]1*2F+*>?:A5?5?28/;)*:f@XW*:fC\%`HJ%=@A@XW*26)P%&+*'ds/]@A>?:<%=>?:T��)F:<C*@<%=5?/]5?2*-?>0%_-7-021*2['*)P%Y+Z/;HJ+*%.�|b

10

20

5

15

10080604020 0

0

1.4

2.8

4.2

5.6

0

h (m)

η

P (kw)Ι

10080604020 0

0 0

η

.16

.21

.10

.05

.020

.015

.010

.05

0 0.025 0.050 0.075 0.10

C

C Q

P

0 0.063 0.126 0.189 0.252Q (m /s)3

efficienza

prevalenza

potenza

η

C P

�{269;'F>0%K�;�;b}9*� � '*>a3;:]@q%=>?%_-?-?:<>757-028@XW*:I1*2�'*)¶+v/=HJ+P%w�U@<'*>a3;:]1*26HQ:<)F5?26/=)P%=C62Z:<1�%=1*28HJ:A)*5?28/;)P%=C82Ì�|b�4'*+*+Z/;)*2\%_HJ/J1*2{3;/=C6:<>7:V1*:|-0:<>7HJ28)P%=>7:VC6:T@q%=>?%_-?-?:<>?2857-?26@XW*:V1F2�'*)P%K+Z/;HQ+P%z@XW*:Y%=�F�*2\%z1F26HQ:<)O·

5?26/=)*:�1º¹ �=26)*@XWµBd:A1Ø·�¹ ���=Ã;Ã=>7+*H/;+Z:<>?%=).-0:Y)*:<C8C6:^@A/;)*1*28G<26/=)*2�1*2�HJ%=5?5726HJ%K:WkQ@<28:<)*G<%FBd)*/=-0:C6:~@<%=>0%t-?-0:A>?2857-028@XW*:~1F2{'*)P%J+v/;HQ+P%z9=:</;HQ:A-?>?26@<%=HQ:<).-0:]5?28HJ28C6:I@</;)x1F26HQ:<)*5726/;)*:T@q%=>?%_-?-?:<>72657-?26@<%J1*21�5Ź ���_26)*@XWRSU'*)FG<26/=)P%=).-0:]%=C8C\%T3=:<C6/4@<2y-_s%^1*2�>7/=-X%=GA26/;)F:�·p5�¹ ��Ã;Ã;Ã=>7+*H¶b$&%_C6C6:{@<'*>a3;:g@<%=>0%_-7-0:A>?265a-028@XW*:e@</;)TC6:e�L'P%=).-02y-_s%f1*26HQ:<)*5726/;)*%=C62_5?2L>?28@q%q3_%=)*/¦1*:<C8C6:e@<'*>a3;:h%=)P%=C8/;9;W*:

+v:A>h2Z+P%=>0%_HJ:|-0>?2Z%=1F26HQ:<)*5726/;)P%_C62*@A/;HJ:~s:DHQ/;57-?>0%_-?/~28)J�P9;'F>0%z�;�=b�9*b�$&%=C�9;>0%_�*@</w�g¬v¯�� � ��5?2v>?26@<%q3=%

�=Ã.� �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�+Z:<>fC6:I@</=)*1*26GA26/;)F2[1*2�HJ%=5?5726HJ%Y:KkQ@<26:A)*Gq%?� � ¹ºÃf�nÃ;B.�;hOBF:T1P%_C6C\%V57'P%J1F:A�P)*28G<28/;)*:I26Cµ3_%=C8/;>?:I1*:AC6C6%+Z/;>7-0%_-X%±�ê¹7� � 1 < ·¬¹,Ãf�8�n©:BVH < �_5<b� /;)*/;57@<:A)*1*/&26C.3_%=C8/;>?:�1*2Ù~X� � �*B;1*:|-0:<>7HJ28)*2\%_HJ/f1P%=C49;>?%_�P@</V���9®�¯�� � �d28C.3=%_C6/;>7:°1*:ACO@A/O:KkQ@<26:A).-0:1*2;+Z/=-?:<)*G<%¦+P%_>?2L%fÃf�nÃF�shg:=Bt>?28@</;>71P%=)*1*/f@XW*:e28C N '*281*/]s:°%_@<�L'P%FBt@q%=C8@</;C82\%=HQ/hC6%�~X�³²w�¦1P%=C8C\%h57:<9;'F:<).-0:>?:AC\%=GA26/;)F:=�

�³²j¹V�8®µ³Y· < 1 < ¹V9.Ã;h:�FÌ��)F�P)F:^1P%=C�9;>?%_�P@A/E���8­¦¯�� � �D@<%=C6@A/;C626%=HJ/Q26C�3_%=C6/=>?:V1*2��j­M:=B�1*2�@A/;)*57:<9;'*:A)*Gq%OBd�L'*:AC6C8/R1*2Z�x@</;HQ:5?:A9;'*:_�

�z¹µ´X�8­%1 � · �@¶ �§&Y¹ ���f�në:9;H¯�°>¯�±p²´³sµ

��C"5?%=C8-?/ 1*2"+*>7:<575?26/=)*:Á%_-?-?>0%q3;:A>?57/�'F)P% +v/;HQ+P%�1F2�SU/;>7Hz%�%_5?5?:A9;)P%_-0% s: Ï�[ ¹¸��}±i¯�·`¯0³P¯@�T�d:A5?5?:A)*1*/T±�'*)P%`1*28HJ:A)*5?28/;)*:°@q%=>?%_-?-?:<>?2857-?26@q%OB;·uC\%r3=:<C6/4@<2y-_s%D1F2F>?/_-X%=GA26/;)*:_B³wC\%K1*:A)*5?2y-_s%K1*:AC N '*281*/R:±��C6%z5?'P%R+Z/;>7-0%_-X%Ob�Ó¦)xHJ/41*:AC6C6/QSU'*)*GA26/;)P%_)L-?:^26)x%_@<�L'P%R1*21*2\%_HJ:|-0>?/z±�«rBµ%=C6C6%Y3=:<C8/O@A28-_s%z%=)*9;/;C6%=>?:�·%«MSU/;>?)*285?@A:V'*)P%z@A'*>73_%K@A/;HJ:T26)��*9;'*>0%ObI�4-02 ·Hz%_>?:D28C>Ï�[w+Z:<>j'*)*%V+v/;HQ+P%]9;:</;HQ:A-?>?28@q%=HQ:<).-0:r5?28HJ28C6:¦1*2µ1*28HJ:A)*5?28/;)*:D±�/;+v:A>0%=).-?:`26)%=@<�L'P%Q%=C8C\%T3=:<C6/4@<2y-_s%Y%=)*9=/;C\%=>7:�·`b

.015 .03 .045 .06

14

28

p (KPa)

Q (m /s)3

42

56

·%«(¹V9.ø·E>0%=1@®_5 ±�«(¹,�;hV@<H·¬¹7B;Ã�·�>?%=1-®_5 ± ¹,ë.�^@<H

°¬¼#½�¾�¿YÀy¼#Á�Â$&%=C6C8:z>7:<C\%_G<26/=)*2°SU/;>7)*28-?:K5?2j)F/=-X%x@XW*:w@<2j57/;)*/�� ¹ hp9;>?%=)*1*:AG<GA:i28)#9;26/4@</x1*:A5?@A>?28-7-0:1*26HQ:<)F5?26/=)P%=C6HQ:<).-?:K1P%�� ¹ ëk1*26HQ:<)*5726/;)F2hSU/;)*1P%_HJ:A)L-0%=C62}bu��) �P%_5?:i%=Cg-0:A/;>?:AHz%k1*2ñh'*@XòL26)F9;WP%=H 572`WP%#@XW*:kC6/#5a-0:A5?5?/(SU:<)*/=HJ:A)*/u+*'�s/u:<575?:<>7:�1F:<5?@A>?2y-?-0/u1P%Ò�Ý Å� ¹�E+P%_>0%=HQ:A-?>?2r%=1*26HQ:<)F5?26/=)P%=C62}bîó�l�%_+*+*C628@q%=GA26/;)F:¶1F:<C¦HJ:|-0/41*/"1*:AC6C6%E3_%=>?26%=�*28C62g>726+Z:A-0'O-0:��57@<:<9=C626:A)*1*/k@</=HJ:R-0:A>?)P%xSU/;)*1*%=HJ:A).-X%=C8:w±�B%· :w³4�VSU/=>?)*285?@<:N" Æ ¹ Ï�[#�F��³L± � · � �V:"'�g¹¹���*��·j± < �|b��r/_-02��L'*26)*1F2�±�:A1·�1*2�HQ/41*:<C8C6/^:]+*>?/=-?/=-028+v/Rs:]+Z/;5?5726�*28C6:&>?285?@<%=C\%=>7:C\%V@A'*>73_%Y26)R�P9;'*>?%^:<1¶/=-?-?:<)*:A>?:]26C¬Ï�[i+v:A>fC\%V+Z/;HJ+*%Y5726HQ26C8:=b

�;�; »ºL  ¡{�r¥�­*­[�,�¨©Á�{�¨¢`�&¥d�<�d�]��«r�t¥�­O� �=Ã;ë

¯�°>¯�±p²�³nµ�42.5?'*+*+Z/;)*9;%¦@XW*:°C\%g+*>7:A3_%=C8:<)*G<%'ÖÁ1*2.'*)P%f+Z/;HJ+*%f572\%j:<57+*>?28HJ28�*26C8:�-?>0%=HQ28-?:�C\%j>?:AC\%=GA26/;)*:Ö ¹Å¸��¥Ì�¯w·`¯0³P¯���¯v×*�f26)p@A'*2)Ì s:~C6%J+Z/=-0:A)*Gq%R%_5?5?/=>?�*2y-X%FBÚ·åC\%Q3=:<C8/O@A28-_s%Q1*2d>?/=-0%=G<28/;)*:=B³^:A×zC\%I1*:<)F5?28-ts%~:DC6%]342657@</;5728-ts%~@<28)*:<HJ%_-028@q%I1*:<C N '*281*/~1F2µC\%q3=/;>?/T:<1���'*)P%T1*26HQ:<)*5726/;)F:@<%=>0%t-?-0:A>?2857-028@q%Fb��F%_+v:A)*1*/`@XW*:°'*)VHQ/O1F:<C6C8/j1*241*26HQ:<)*5726/;)F:���«�@A/;) N '*261*/D%=@<�L'P%D%=5?57/;>?�Z:'F)P%¶+Z/=-?:<)*G<%ªÌ«å:<1EWP%w'*)P%R+*>7:A3_%=C6:A)*Gq%NÖ�«¦Bd@<%=C6@A/;C\%_>?:�Ì :A1ØÖ +Z:<>I'*)P%w+Z/;HJ+*%9=:</;HQ:A-?>?26@<%=HQ:<).-0:J5?26HQ26C8:Y26)�57@q%=C6%x¸î¹ �+�në��g�E�U/;5?572\%�28C°+*>7/=-0/_-026+Z/"s:R�+��ë¶3;/;Cy-0:K+*20s'9=>0%=)*1F:]1F:<C�HQ/O1*:AC6C8/L��@XW*:IC6%�3=/;>0%^28)¶/=C626/~26)w5?28HJ28C628-?'*1*28)*:r1F26)P%=HQ26@<%Fb��«(¹Å�nB^@<H Ö�«u¹��O�IH Ì«(¹7Bf�y�IòYиw¹º�+�nëY�P� ×C¼X½¿¾¿¼j¹ê��à ( Ä H � �_5 ³�¼X½¿¾¿¼g¹��ih=Ã�Ñ&9=�_H <°>¼#½�¾�¿YÀy¼ÚÁ�ÂÀr+*+*C826@q%_)*1*/x26C�-0:A/;>?:AHz%x1*2jñ°'*@XòL26)*9;W*%=Hì>?285?'*Cy-X%�� ¹ Bx:2� ¹ëk+Z:<>^@A'*2j5?2h+*'�s/:A5?+*>726HQ:<>7:&C\%^>?:AC\%=GA26/;)*:D@</;)ië^+P%=>0%_HJ:|-0>?2[%=1*26HQ:<)F5?26/=)P%=C62}bÖ � ¹V& z Ì

³Y· < � Ä ¯ ×� � ·�{ �Ó¦9;'P%=9=C62\%_)*1*/^2[+P%_>0%=HQ:A-?>?2�%=1*28HJ:A)*5?28/;)P%=C82v572�/=-?-?26:A)*:I�4'F26)*1*2�Öǹ7Ö�«����:��« ¹7Ö�«g¸i¹9;�f��ë^H¶b·ï¹7·%« z ��« � { � N ××s« O ¯ Ì ¹7Ì« ³³;« z ���« { Ä N ··%« O < ¹7Ì« ³³;« ��« � N ××n« O < ¹Å�;��B;Ã:98�3À��

õQõYö9Á Âß ������{ù þ­� �rþ<úH�8�xþA÷�þß�%xþ����{þ�r:<C8C\%R@<C6%=5?57:z1*:A2 N '*5?572h26)E@<28>?@A'*28-?2�@XW*26'*572°>726:A)L-?>0%=)F/i-0'O-?-02e�L'*:A2 N '*575?2°26)E@<'*2�'*) N 'F261*/¶5?@A/;>?>7:%=C6C}ln28)L-?:<>7)*/&1*2P'*)J5?265a-0:AHz%`-0'F�*2mBL@</=)L-?:<HQ+*C\%_)*1*/T%=)*@XW*:¦:A3=:<).-0'P%_C62P3_%=>?26%=G<28/;)*2*1*2P57:<GA26/;)*:_BO9=/;HJ2y-02}B3=%_C83;/=C6:=Bh>?'*�*28)*:A-7-02r:A-0@_b8B¦@</=HJ:i26)ï�P9='*>0%ï�=�;b�h4båñh2657/;9;)P%�)*/=-X%_>?:p@XW*:xC}l�%_9;9;:A-7-02y3;/"@XWF26'*57/�1*:<C@<26>7@<'*2y-0/k)*/;)(5?2¦>?2ySU:<>7265?@A:w%=CjS�%_-?-?/�@XWF:i28Cj@<26>7@<'*2y-0/k5?2f@XW*28'*1P%E5?'ï57:i5a-0:A5?5?/"Hz%E%=C6C}l�%_5?5?:A)*Gq%k1*25?'*+Z:<>a�P@<2�C628�v:A>?:`@XWF:]3_%=)*)F/Y-?>0%_-7-X%_-?:&@</;HQ:IHJ/=57-0>?%_-0/^+F>?:<@A:<1*:A).-0:<HQ:<).-?:=b��)(�L'*:<5a-X%E@q%_-?:<9;/;>72\%p1*2 N '*5?572mBh1F:A-?-0%s,xC\%p9;:A)*:<>726@q%k�L'P%=).-02y-_s%x1P%k1*:A-?:<>7HJ28)P%=>?:R+Z/;575?2\%_HJ/

5?@<>7283=:<>?:,I¹7�d����¯X±�¯@.<¯?³P¯0´�¯A®`�|¯

@XW*:=B�%=+F+*C628@q%=)*1F/Q28Cv-?:</;>7:<HJ%Y1F2�ñh'*@XòL26)*9=WP%=H¶B*+*'�s/Q:<575?:<>7:~>7261*/=-7-X%^%=C8C\%TSU/=>?HJ%

"'ç�¹V& z �± ¯ .± ¯ ³F®D±´ { � �a�;�;bn�.���)Q�L'*:A57-0%]>7:<C\%_G<26/=)*:=B.%_C*5?/;C828-?/*B=28CF>0%_+*+v/=>7-0//���=± 1*:A5?@A>?283=:fC\%`9;:A/;HJ:|-0>72\%D1*:ACP5?2857-0:AHz%OB;C\%`>7'*9;/;5728-_s%

�=Ã:9 �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�>?:AC\%_-?283_%�.��=± :<5?+F>?26HQ:¦C\%I)P%_-0'F>0%I1*:<C8C\%I5?'*+Z:<>a�P@<28:D1*:AC6Cml½/;9;9=:A-?-?/*B.HQ:<).-0>7:D26CP)L'*HQ:<>7/~1*2Ú0f:W�4)*/;C81*5³F®D±��_´k:<57+*>?28HJ:&28C[>?:A9;26HQ:`1*2�HQ/=-?/Q1F:<C N '*575?/Q)*:<C�@A/;)*1*/_-?-0/Fb

d

l

d1

1 l2

d2

l3

l4 3

U

��269;'*>?%K�;�;b�hO�eð�5?:AHJ+*28/Y1*2 N '*575?/Q26)w@<28>?@<'F28-02µ@XW*26'*572mb� /;HQ:D:<57:<HQ+*26/~@</;)*57261*:A>?26%=HJ/T'*)P%~3_%=Cy3;/;C6%T@</=)R'*)P%V1*28HJ:A)*5?28/;)*:D@<%=>0%t-?-0:A>?2857-028@q%T± ¹CB;Ã=@<H

:D57'*+*+Z/;)*26%=HJ/T@XW*:&5?HJ%=Cy-02657@q%I'*)P%V+Z/;>7-0%_-X%��ê¹�Ãf�y��H < �_5<b � 2v@XW*26:A1*2\%=HQ/~�L'P%_C6:D1F:A3;:&:A5?57:<>?:&C6%+Z/;>7-0%_-X%V1*2�'F)iHQ/O1F:<C6C8/V26)R57@q%=C6%^@</;)¶1*26HQ:<)F5?26/=)*:I±�«(¹�©+��h_@<H¶b� 5?5?:A>7342\%_HJ/K@XWF:=B�:<575?:<)F1*/i'F)x+*>?/;�FC6:<HJ%z28)p5?@<%=C\%FBv5?/;)F/¶>72657+v:|-?-X%t-02d2{>0%_+*+v/=>7-02Ù���=±:±.��=±iB+Z:<>j@<'F2�>?26HJ%=)*:&1*%^3=:<>728�P@<%=>?:IC\%^5726HQ26C62y-0'*1F26)*:f5?'FCd)L'*HQ:<>7/Y1*2�0¦:K�4)*/;C61F5<b$&%=C6C6%J+Z/;>7-0%_-X%K1F:<C6C6%z3_%=C83=/;C\%FBµ+v/;575?26%=HJ/z@q%=C8@</;C6%=>?:V'F)P%R5?@q%_C\%R1*2{3=:<C6/4@<2y-_s%K+Z:<>&28C�+*>?/_-0/=-?26+Z/

®,¹����=± ��L'*26)*1F2mB*28HJ+Z/;)*:A)*1*/^Cml½'*9;'*%=9;C626%=)*G<%~1*:<C�)L'*HQ:<>7/Y1*2�0¦:K�4)*/;C61F5<�

®D±× ¹ ®�«g±�«×n« ¯»¹¬I ®�«(¹ ±�×s«±�«%× ®h¯:<1Q%=575?'*HQ:<)F1*/T1F2*'F-028C628G<Gq%_>?:hC8/&57-?:<5?57/ N 'F261*/&)*:AC6C}ln:A5?+Z:<>?28HJ:A).-0/&:f)*:<COSU:<)*/;HQ:<)F/]>7:q%=C8:]�¥×Q¹7×n«j�»B

®�«(¹ Ãf��B=Ã/È�Ã+�8�Ãf�nÃi©;h�È�Ã+��ë;B È.�D¹��=�¿�;��H|�_5K�

� /;)x�L'*:<5a-X%z3=:<C6/4@<2y-_s%Q:V@</;)x28C�1*2\%=HQ:A-?>?/J1*:<C�HJ/41*:<C8C6/Y5?26%=HQ/z�L'*26)F1*2{28)�9;>?%=1*/K1*2�@q%=C8@</;C6%=>?:C\%V+Z/;>a-X%_-0%V>?26@XWF26:<5a-X%

��«(¹ê®�«°± �« ¹MÃf�nÃF���;h�H < �_5W�õYõYö@à Ä�øA���Yø ýxþÆÅ üVúZ�pÇ-È*É ø&þ­�6Êpü����O:A�*�v:A)*:pC6%E-0>?%_-?-0%=G<28/;)*:¶1*2¦�4'F:<57-?2 N '*575?/#>726:<).-?>?2¦%�-0'O-?-02¦9;C82¦:|¾µ:|-?-?2D)*:AC6Cmln%=HV�F28-0/k1*:AC6C}l�%=)*%=C6285?21*28HJ:A)*5?28/;)P%=C8:=B�C\%¶>?26C8:A3_%=)*G<%i+*>?%_-028@q%¶1*2°@A26>7@<'*2y-02e+v:A>V26C�-?>0%=57+v/;>a-0/i1*2 N 'F261*2eWP%�1*%_-0/p/=>?269=26)*:Q%1*:AC6C6:rSU/;>?HV'FC6:`:AHJ+*28>?28@XW*:&1*2�9;>?%=)*1*:I'F-?26C62y-_s%])*:<C8C6:I%=+*+FC626@<%=G<28/;)*2Z+*>0%t-026@XWF:=b

�;�; \Ë.  ��¤¦è]覤 §`�h§f�`¢&��Ì6ÍjÎk¤��a­Fæh�]��« �=Ãih� /=)*5?281*:<>72\%=HQ/p'*)�-?'*�v/k%p57:<GA26/;)*:R@A26>7@</;C6%=>?:J1*2hC8'*)*9;W*:AG<G<%��f:R1*26%=HJ:|-0>7/p@</;5a-X%=).-?:w± %_-7·

-0>0%q3=:<>?57/Y@<'*2v+P%=5?5?%V'*)P%V+Z/;>7-0%_-X%��Å1*2v'*) N '*281*/~342657@</;57/*oP%=575?'*HQ:<)*1F/^26C N '*5?57/Y26)*@A/;HJ+F>?26HQ26�F26C6:+v/;575?26%=HJ/^HQ:A-7-0:A>?:&'*)¶>?:AC\%=GA26/;)*:&C6%~3;:AC6/4@<28-ts%^HJ:A1*2\%V)*:AC[-0'*�Z/Y@</;)¶C\%V+Z/;>a-X%_-0%Q%t-?-0>?%q3;:<>75?/

�ê¹ �g·�®`± � �9 �cd:<>K�L'*:A57-?/ N '*5?57/*Bf:<575?:<)F1*/#9;C62f:|¾µ:|-?-02¦34265?@A/;5?2¦)*/;) -0>0%_5?@<'F>0%=�*28C62}Bh)*/;)ï50%=>7:<�*�Z:p+Z/;5?5726�*28C6:

%=+*+*C826@q%_>?:xCml½:<�L'P%_G<26/=)*:x1*2]ñh:<>7)*/;'*C8C62}B¦-?'F-?-0%�3426%FB`%=9=9;26'*)F9;:<)*1F/ '*)í-0:A>?HQ26)*:k@A/;>?>7:A-?-?283=/ß�,@XWF:-0:<)F9.%^@</;).-0/Q1*:A9;C62[:|¾µ:|-?-?2[3O285?@A/;5?2�572d+F'�s/Y+v/;>7>?:_�[ Ƴ a ®

�Æ� a &�Ï Æ ¹ [@�³ a ®

��� a &�Ï�� a &f�¬� �a�;�;b�Ç.�

$&%=C6C6%z@</;)F5?:<>a3_%=G<28/;)*:z1F:<C6C6%RHz%=5750%w5?2e1*:A1*'*@<:J@XW*:=B{:<5?57:<)*1F/p26C�1*26%=HQ:A-0>7/w@</;5a-X%=).-0:_B{C8:Y3=:<C8/O@A28-_s%)*:<C8C6:`1*'F:]57:<GA26/;)*2�57/;)*/Q'*9;'P%_C62[:I�L'*261F2[Cml½:<�L'P%=GA26/;)F:&1*2�ñh:<>7)*/;'*C8C62[1F283;:A).-X%F�[ Ƴ a &�Ï Æ ¹ [@�³ a &�Ï�� a &f�[¯ �¨�;�;by��Ã.�:=BP5?:I572�5?'*+*+Z/;)*:]26)F/;C8-?>?:`)L'*C8C\%VC\%~3_%=>72\%=GA26/;)F:`1*2��L'*/=-0%Q1*:AC6C8:`5?:AG<26/=)*2�1*:<C�@A/;)*1*/_-?-0/FBP5?2�WP%[ Ƴ ¹ [@�³ a &f��¯X¹¬I �K¹ [ Æ Ð[@�³;& � �¨�;�;by�;���ó�l½26).-0:A>?+*>7:A-0%=G<28/;)*:V�P5726@q%w1*2��L'*:A57-X%¶>?:AC\%=GA26/;)*:Ks:Q@XWF:JC}ln:|¾µ:|-?-0/w1*:A2�-0:A>?HQ26)*2{34285?@</=5?2js:Y:<�L'*2y3L·

%=C6:A)L-?:¶%=1 'F)P%E57:<GA26/;)*:¶1*2f'*57@<28-0%E+Z/;5a-X%E%=1 'F)P%E�L'*/_-X%�+F2Xs'u%=C8-0%x1*2'� >?285?+Z:A-?-?/"%_C6C\%p57:<GA26/;)*:1*2f:<).-0>?%_-X%E/;+*+*'*>7:=Bj28) �P%_5?:p%_C6C\%(�¨�;�;by��Ã.�|Bh%�+P%_>?28-ts%x1*2�Ï�[ïC\%k+*>?:A5?:<)FGq%�1*:A2f-?:<>7HJ28)*2g34265?@A/;5?21*26HQ26)L'*285?@<:D1*2��¶C6%Y�L'*/_-X%^Hz%_5?5?28Hz%V>?%=9;9;28'*)*9;28�*26C8:

Ï��g¹ Ï�[³;& a Ï Æ Ò�¬�ð�57+*C628@<28-0%=)*1*/x28).3;:<@A:wC\%p>?:AC\%=GA26/;)F:K+*>?:A@<:A1*:<).-0:i>?285?+Z:A-?-?/k%ÑÏ Æ 572j)*/=-X%p@XWF:i+P%_>7-0:A)*1*/k1P%=C8C\%�4'F/=-X%�Ï���Bh:A1î%=>?>7283_%=)*1F/�%_C6C\%p�L'*/_-X%«Ï Æ�Ò Ï���BI��HJ%=).-0:A)*:<)F1*/"'*)*%E+Z/;>7-0%_-X%��T�Y572¦9=:<)*:A>0%�'F)

1*28¾v:<>7:<)*G<%Y1F2�+*>?:A5?5?28/;)*:IHQ26)*/;>7:&>?285?+Z:A-?-?/Q%=C[@q%_5?/Q)*/;)w3O285?@A/;5?/³;&�Ï Æ ¹,³;&�Ï��Z ÒÏ�[ a ³;&f�O���)Q1F:A�P)*2y-02y3=%`572\%`+Z:<>�+Z/;>7-0%=>?:j28)^�L'*/=-X%&28C N '*281*/&@XW*:f+v:A>�S�%=>?C8/`-0/;>7)P%=>7:j26)*1*28:A-?>?/`/4@<@A/;>?>7:¦57:<HQ+*>?:

'*)P%J1F28¾v:<>?:A)*Gq%J1*2�+F>?:<575?28/;)*:~+F2Xs'i9=>0%=)*1F:~1*:AC�@<%=5?/K)F/;)i342657@</;57/K:~@A2as/J:<5?+F>?26HQ:]C\%Y1*26575?26+*%_-02y3O2y-_s%1*:<CZ-0:<>7HJ28)*:��R26)z@</;).-0>?%=57-?/^@</;)RC6%T>7:A3;:A>?5726�*28C628-ts%T1*:AC6C6%]-0>?%=57SU/=>?HJ%=G<28/;)*:¦1*:<C8Cml½:<)*:A>?9;26%T+Z/=-0:A)*G<26%=C6:26)R:<)F:<>?9=2\%^@<28)*:A-?26@q%^)*:AC�@q%=57/J281*:q%_C6:=bcd:<>wHQ:A-?-?:<>7:p/;>0%#28)î>?:<C6%=G<28/;)*:iC6:p+Z:<>71*28-?:x1*/�3O'O-0:E%=9;C82r:|¾µ:|-?-02r3O285?@A/;5?2&@A/;)íC6:p9;>?%=)*1*:AG<GA:

%=1*26HQ:<)F5?26/=)P%=C62P/=5?5?:A>7342\%_HJ/V@XWF:&+v/;575?26%=HJ/T:<57+*>?28HJ:A>?:DC6%~1*2y¾µ:A>?:<)FGq%V1*2v+*>?:A5?5?28/;)*:&%_C6C6:¦:<5a-0>7:<HQ28-_s%1*:<C[-?'*�v/Y@A/;HJ: Ï�[

Æ� ³F® � ¹�Ó z �± ¯ .± ¯ ®D±z³´ { �

�=Ã;B �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�

�{269='*>0%K�;�=b�BF��$`2\%=9;>?%=HQHz%]1*2��i/4/O1f�=b��)I�P%=5?:e%_1]28)*)L'*HQ:<>?:|3;/;C82=/;575?:A>73_%=G<28/;)*2;57+v:A>?28HJ:A)L-0%=C62Fs:�57-0%_-0/j34265a-0/j@XW*:eCml½:A¾v:A-7-0/j1*:AC;+P%=>?%=HQ:A-0>7/���=± 28)L-?:<>a3O28:<)*:^C826)*:<%=>?HQ:<).-?:~)*:AC6C\%QSU'*)*G<28/;)*:xÓE26C{@XWF:^26HQ+*C628@q%^�P5?28@q%=HQ:<).-0:^@XWF:^C6:V+Z:<>71*28-?:V+v:A>

%_-7-0>?2y-0/x28)('F)(-?'*�v/E1*2jC8'*)*9;W*:AG<G<%"�:�r50%=>?%=)*)*/k1*/;+F+*26:w>?285?+Z:A-7-0/E%=1('*)(-?'*�Z/�281*:<).-028@</kHJ%k1F2HQ:A-_s%KC8'*)*9;WF:<G<G<%E��)*:AC�@q%=57/w26)x@<'F2�26C N '*5?57/�%_C6Cml½26).-?:<>?)F/z1*:AC�-0'*�Z/R5?26%K26)x>?:A9;26HQ:V1*2�-0'*>7�v/;C8:<)*G<%573428C6'*+*+*%_-X%.� < bH�&'F:<57-?/J>72657'*C8-0%_-0/^28HJ+*C826@<%

Ï�[Æ� ³F® � ¹ �

±�Ô z .± ¯ ®D±z³´ {Õ�Ö�Ô|Ñ}Ù¿Ï»×gÔ{ÝêõtεÝaÙ\ÒÔ{Ë�Ô|ËhÖ�ÙqÕAÎaÍmÙØ×_Ý7Ï�Ë�Î7Ð�Í}Î7Ü|Ù�×gÎZпϻ×gÙnË_Ï»ÍmÎvÙ�Ë°Û Ú Ï|ËAÑmÔ�Ù�Ë Ú Ë�Ô�ÖUÑmÍmÏ»Ñ}ÔdÐ�Ù�×hÙnÑ}Î[пÏ�ã ÔAÍ}ß?Ï�Ø�Ù<ÍmÎ7Ö}Ù¿ÖUÑmÎaË�ß?ÏݨÍmÎ7ÖmݨÎhݨÔA×hÎÚÙ ÛvÎgÛ Ú Ù�ËtØ�Ù Ú ËtÏDÐ�ÏAÖUÑmÍmÏrØ�ÙPÐ Ú Ë�ÜKõ�Î7ßaß?ÏUÜ8ÛvÏ0ÕqÍXÒÏfÓ=ÎaÍäØ�Ù½ÑmÎgÓ_Î7ÍeÏXÑ�ÑmÍ}ÙnÑ}Ô`Ýêõ�ÎjÖ}Ô|Ë�ÔDÖ�ÔAÐnÔ Ù Ü¦ÕAÔ|ÐnÑ}ÎhÓ�Ù�ÒÚÜ|ÍäÏ»Ë_Ø�Ù.Ø�Ù Ú ËtÏgØ�Ù4Ð Ú ËtÜKõ�Î7ßaß7Ï�Û

�;�; \Ë.  ��¤¦è]覤 §`�h§f�`¢&��Ì6ÍjÎk¤��a­Fæh�]��« �=Ãi©+v:A>j@<'*2�1*:|�P)*:A)*1*/z28CµS�%_-7-0/;>7:&1[l�%t-?-0>728-?/Q¸

¸w¹ Ï�[Æ� ³F® � ± � ¹ Ô z .± ¯ ®D±z³´ {

5?2�/=-7-026:A)*: Ï�[Æ� ³F® � ¹ �

± ¸-�0¦28@</;>71P%=)*1*/^28)F�P)*:I1P%_C6C\%K�a�;�;by�;���h@XWF:��J¹7Ï�[#�_³;&K572�9;26'F)*9;:I%=C8C\%~C8:<9;9;:&1F2�$&%=>?@K�L·¥Ð":A2657�P%=@XW[��z¹ �� ® �& �

± ¸�¯ �¨�;�;by���;�@XW*:g@</=)*5?:A)L-?:j1*24@q%=C8@</;C6%=>?:�C6:°+v:A>?1*2y-0:�+v:A>�:A¾v:A-7-02O34285?@</=5?24)*/=-X%rC\%r9=:</;HQ:A-?>?2\%¦1*:<C4@</=)*1*/=-7-0/Y�����_±R�|BC\%~3;:AC6/4@<2y-_s%VHQ:<1*26%Y1F:<C N '*575?/���®`�g:<1i26CvS�%t-?-0/=>?:&1[ln%_-?-?>?2y-0/Q¸�b� 575?:<>a3_%=)*1*/w@<>728-?26@q%_HJ:A)L-?:~C6%z>?:AC\%=GA26/;)*:K�a�;�=b8���=�¦1*/�34>?:AHJHQ/K@</=)*@<C8'*1*:<>7:^@XW*:^)*/;)k%_�*�*2\%_HJ/S�%_-?-?/f%=C6@A'*)&+P%=575?/f26)I%q3_%=).-02;28)&�L'P%=).-0/r%=�*�*26%=HQ/h:<57+*>?:A5?57/D'*)P%j�L'P%=).-?28-_s%g28)*@</=9;)*28-0%��]28)`SU'*)*GA26/;)*:1*:<CdS�%_-?-?/;>?:V1µl�%_-7-0>728-0/K¸"@XW*:^)*/;)us:V)F/=-0/R%K+F>?26/=>?2mbD��)x>?:q%_C8-_s%J26C�S�%_-?-?/;>?:V1µl�%_-7-0>728-0/J5?2�1F:A-0:A>?HQ26)P%S�%=@<28C6HQ:<).-0:w1P%=Cr1*2\%_9;>0%=HQHJ%k1F2A�i/4/41f�å�Ì�P9;'*>?%ï�;�;b�B.�^@XW*:x@</=)*5?:A)L-?:=B¦)*/=-?/�26Cj3_%=C6/=>?:�1F2U.��_±:<1k26C�)4'FHJ:A>?/w1*2Z0f:W�4)*/;C81*5&1*:<C�-?'*�Z/*B�1*2�1*:|-0:A>?HQ26)P%=>7:Q¸�b��`'*:A57-?/i1*26%=9;>?%=HJHJ%is:^5a-X%_-?/wHJ/;Cy-0/'F-028C626GAGq%_-?/z)*:AC�+P%=5750%_-?/i28)x�4'*%=).-0/¶Cmln%=5?57:<)*G<%¶1*2{@q%=C8@</;C6%_-0/;>72�:AC6:|-?-0>7/;)*28@<2{>7:<)*1F:A3_%¶+F>?/;�*C8:<HJ%_-028@</Cml½'F-028C626GAG</k1*2DSU/=>?HV'*C8:i28HJ+FC626@A28-?:R)*/;)îC628)*:q%_>?2mb,Àg-?-?'P%=C6HQ:<).-?:p�L'*:<5a-0:pSU/;>7HV'*C6:i+v/=5?5?/=)*/#:<575?:<>7:%=9;:A3=/;C6:AHJ:A).-0:Y26HQ+*26:A9.%_-?:^%=)*@XW*:Q@</=)"Cmln%='*5726C826/K1*2�'F)P%¶@<%=C6@A/;C\%t-0>?28@<:V+F>?/;9;>?%=HQHz%=�F26C6:T>?:A)*1*:<)F1*/+*20s'R>0%_+*261*/^28C[@q%_C6@</=C6/^1*2�¸db�Ó¦)P%^1*2[-X%_C62vSU/=>?HV'*C8:Ys:I�4'F:<C6C6%V1*2 � /;C8:<)L�*>?/4/;ò

�Ê ¸ ¹ `��C8/;9 z .��=±ëf��© a �=��hO���� Ê ¸H{ ¯ �¨�;�;by��ë.�

@XW*:Js:&5a-X%_-0%Q/_-?-0:A)L'F-X%Y@</;HQ:`�*-f:AHJ+*28>?28@</^1*:AC�9;>0%_�*@</Q1*:<C�1*26%=9;>?%=HJHJ%T1F2��i/O/41f�=b��TÝp�� �+�$�$�K�!��(¥Þ)�P���(m����f )�P�* "���P�i�*(��)MHQ/;Cy-0:x%=+F+*C628@q%=GA26/;)*2¦+*>?%_-028@XW*:x2&@<28>?@<'F28-02r+v:A>R26CD-?>0%=57+v/=>7-0/#1F:<C N '*281*/uWP%=)*)F/(57:<GA26/;)*:k)*/=)@<26>7@</;C6%=>?:j��+Z:<>�:<57:<HQ+*26/f)*:A9;C62;28HJ+F2\%=).-02_1*2.@</=)*1*26GA26/;)*%=HJ:A).-0/j1*/�3;:�2.@</=)*1*/=-7-02.WP%=)F)*/r'F)P%¦57:<GA26/;)*:�4'*%=1*>0%t-X%.�h:A1�26)w�L'*:A57-02�@<%=5?2�28C[1*2\%_9;>0%=HQHJ%~1*2��i/4/O1+�R)*/;)w+*'�s/Q:<575?:A>?:~'O-026C826GAGq%_-?/V)*:<C8C\%VSU/;>7Hz%1*:<57@<>?2y-?-0%Y)F:<C6C6%V+*>?:A@<:A1*:<).-0:T5?:AG<26/=)*:=bð�34261F:<).-0:AHJ:A)L-?:=B*572µ+Z/=-0>7:<�*�Z:`>726+Z:A-0:A>?:r'*)P%V@q%_HJ+P%_9;)P%T1F2µHQ265?'F>?:=B4@</=5?2 s ÂZ@</=HJ:~s:`57-0%_-0/~S�%t-?-0/

+v:A>Q2j-?'*�*2¦%�57:<G<28/;)*:¶@<28>?@</=C\%=>7:R+v:A>J/=-7-0:A)*:<>7:�'*) 1*2\%=9=>0%=HQHz%OBe%=)P%=C8/;9;/E%E�L'*:AC6C8/�1*2'�i/4/41f�;BHz%p57+v:A@<28�*@</k+v:A>^C\%p+P%_>7-028@</;C6%=>?:J9;:</=HJ:|-0>?26%�1*2j28)L-?:<>7:<5?57:=bu$&%_-0%�-0'F-7-X%q342\%pC6%p9;>0%=)F1*:K3_%=>?28:A-_s%1*2f9;:</;HQ:A-?>?28:i+Z/;5?5726�*28C62g�L'*:A57-0%�+*>?/4@<:A1*'*>0%�)*/;) 3428:<)*:i5?:<9='*28-0%�:�572r+F>?:ASU:A>?285?@<:i>?28@q%q3_%=>?:¶1*:<C8C6:26)FSU/;>7Hz%_G<26/=)*2mBg57:<+*+F'*>¶%=+*+*>7/;5?5726HJ%_-0:_Br1*28>?:|-?-X%_HJ:A)L-?:p1P%=CD9;>0%_�*@</u1*2D�P9='*>0%î�;�;b�B#%=)*@XWF:E57:k26C-0'*�Z/p)*/;)îs:J@<28>?@</=C\%=>7:=b�À -X%=Ce�P)*:K572h1*:|�P)*285?@<:R28C' :��£:�|¢K���w¦ª�� A�X£:�=���¥¤�¦ì± L @A/;HQ:z26C�>0%_+*+v/=>7-0/-0>0%TCmln%=>?:<%~1*:<C8C\%]5?:<GA26/;)F:D-0>?%=573=:<>?5?%=C6:&1F:<Cv-?'*�Z/ � 1F2834265?%~+v:A>g'*)R�L'P%=>a-0/^1*:ACµ+Z:<>726HQ:A-0>7/V�P%=9=)P%_-0/

�=Ã;� �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦��8�L9*oZ26)i�4'F:<57-?/RHJ/41*/J+v:A>D'*)p@A/;)*1*/_-?-0/K%J5?:AG<28/;)*:V�L'P%=1F>0%_-0%z26C�1*26%=HQ:A-0>7/z281*>0%='FC626@A/¶s:~+*>7/;+*>?28/+P%=>72e%=CeC\%_-?/*B�HJ:A).-0>?:Q+Z:<>]'*)P%w5?:<GA26/;)F:z>?:|-?-0%=)*9;/;C6%=>?:Y± L s:Q26C�+F>?/41*/=-?-?/i1F:<2eC\%_-?2�1*2y3O285?/¶+v:A>TC6%C6/=>?/^HQ:<1*26%Fb$`/;+Z/x%q3;:<>Y@<%=C6@A/;C\%_-?/p± L +v:A>^'*)P%p1P%t-X%x9;:</=HJ:|-0>?26%FB��L'*:A57-0/x3426:A)*:R'*5?%_-0/k+Z:<>~3_%=C8'F-X%=>7:K26C)L'*HQ:<>?/x1F2�0¦:K�4)*/;C61F5J����¹ ®D± L �:×vB°C6%�>?'F9;/;5?2y-_s%p>7:<C\%t-0283_%Ð.w�=± L 1P%x@A'*2g5?2h>?26@<%q3=%x28C°S�%_-7-0/;>7:1[ln%_-?-?>?2y-0/Y¸�1P%_Cµ9;>?%_�P@</w�;�=b�BV:&�L'*28)*1*2µC6%V+v:A>?1*2y-X%~1F2[@q%=>726@A/���ßD¹º¸������_± L �X® � �*�m�s&*�»oFC6%T3;:AC6/4@<28-ts%HQ:<1*26% ® 3O28:<)*:k@<%=C6@A/;C\%_-0%�1*2834281*:<)*1F/ C6%u+Z/;>a-X%_-0%u28)î3;/;C8'*HJ:Ñ�ì1F2 N '*261*/u@XW*:k-0>?%=)*5728-X%#)*:AC

@</=)*1*/=-7-0/Y+v:A>fC\%V5?'*%Q57:<G<28/;)*: � b�`'*:<5a-0/D-?26+Z/D1*2O%=+*+*>7/;5?5726HJ%=G<28/;)*:_B_+Z:<>7HJ:|-?-0:°1*24>?2657/;C83=:<>7:h%=9=:A3;/=C6HQ:<).-0:°+*>?/;�FC6:<HQ2L+v:A>{2L�L'P%=C82)*/;)E:<57265a-0:Q'*)"1*26%=9;>?%=HJHJ%z57+v:A@<28�*@</�+Z:<>]C6:Y+Z:<>71*28-?:Q1F2�@<%=>?28@</w/;+*+F'*>?: N '*575?2�26)E@<'*2e5?2eWP%_)*)*/-0'F�*2e1*2e9;:</;HQ:A-?>?26%¶1*2y3;:A>?50%i26)E'*)*/�5a-0:A5?5?/x@A26>7@<'*2y-0/*b��¦/;>?HJ%=C8HJ:A)L-?:=B�+Z:<>]@</;)*1F26G<28/;)*2e1*2 N '*575?/-0'F>?�Z/;C6:A)L-?/V@</=HJ+*C8:A-0%=HJ:A).-0:`5a3O28C6'*+F+P%_-0/^C}ln:A>?>7/;>?:`>726HJ%=)*:r@</;).-0:A)L'F-0/Q26).-0/=>?)*/Y%V3_%=C6/=>?2Z1*:<C��nh�àK�+Z:<>g�L'*:A2�+*>?/;�FC6:<HQ2µ)F:<2[�L'P%=C82�s:&>?28@XW*26:A57-0%V'*)[ln%=@<@A'*>0%_-?:<GAGq%YHz%=9=9;26/;>7:D�*285?/;9=)P%^%=C6C8/;>0%]>?28@</;>7>?:<>7:&%1*26%=9;>0%_HJHQ2�5?+Z:<@<2y�P@<2�/Y+*>7/�3=:T57+v:A>?28HJ:A)L-0%=C62�£i Kd@¦n¤|b

0 .25 .5 .75 1

.5.75

.25

1.

0 .25 .5 .75 1

.2

.4

.6

A /A2 1

A1 2A

K

A /A1 2

1A A2 h= k V2g

21h= k V

2g

22

�{289;'*>0%M�;�;b�©O�,ðe57:<HQ+*26/î1F2V9;>0%t�P@</¬+Z:<>xC6%ï1*:|-0:<>7HJ28)P%=GA26/;)*:�1*:<C8C6:�+v:A>?1*2y-0:�@A/;)*@<:A).-0>0%t-0:u+v:A>3_%=>?26%=G<28/;)*2Z1*2�5?:AG<28/;)*:I>?:A+v:A)L-?26)*:_b

��lÝ|�T� #�(¥�*á��T��(� "��� "(¥���+�*�1��(ó�l�%_5?5?'F)*G<28/;)*:V@XW*:^9=C62d:A¾v:A-?-?2{342657@</;572{5?26%=)*/K+F>?/;+Z/;>?GA26/;)*%=C62d%=C8C\%JC8'*)*9;WF:<G<G<%���1F:<C�@A/;)*1*/=-7-0/zSU'F)O·G<28/;)P%&)*:ACZ@<%=5?/T1*2P@</=)*1*/=-7-02Z%]57:<GA26/;)*:¦'*)*2ySU/;>?HQ:j26)Q@<'F2Z28C N '*575?/V572\%&26)Q'*)J>?:<9=26HQ:j1*2P-0'*>7�v/;C8:<)*G<%@</=HJ+*C8:A-0%=HJ:A).-0:¦573426C8'*+*+P%_-0%Fb)0f28SU:A>?:<)F1*/O@A2µ%_C6C\%&�P9;'F>0%K�;�;b�hT%_+*+P%=>7:`:A34261F:<).-0:&@A/;HJ:r@<2v5?2\%_)*/~1*:A2@</=HJ+Z/;)*:A)L-?2mB�@</=HJ:e2.9;/;HQ28-?2mBq28C;>?'F�*26)*:|-?-?/r:eC\%g3_%=>72\%=GA26/;)*:{1*2L5?:<GA26/;)F:=Bt26)]@<'*2;-0%=C6:�@A/;)*1*28G<26/=)*:e)*/;)s:g%_5?5?/=C6'F-0%=HJ:A).-0:h3=:<>?2y�P@q%t-X%Fb{óeln%=)P%_C626572L5?+Z:<>?28HJ:A).-X%=C8:°HQ/;57-?>0%D@A/;HV'*)F�4'F:g@XW*:j26)~@</;>7>?2657+v/=)*1*:<)FGq%1*2�-0%=C62d-0>0%t-?-02�1F:<C�@<28>?@A'*28-?/¶572�3;:A>?28�*@q%=)*/i1*:<C8C6:V+Z:<>71*28-?:Y1*2�:<)*:A>?9;26%¶C6%K@<'*2e:A)L-?28-ts%w+F'�s/i57'*+Z:<>0%_>?:�L'*:<C8C\%I)*:<2Z-0>?%_-?-?2Z>7:A-7-026C826)*:A2mb � W*26%=>0%=HQ:<).-?:=B4Cml½:<).-02y-_s%T1F:<C6C8:r+Z:<>71*28-?:¦34285?@</=5?:`1*28+v:A)*1*:r1P%=C6C6%`SU/;>?HJ%1*:A2�@</;HQ+v/=)*:<).-02}B[1P%=C�HQ/41*/R26)k@<'F2�5?/;)*/i%=@A@</;+*+F2\%_-?2�@</;)k2�-?>0%_-7-02�>7:A-?-?26C826)*:A2�1*2�-?'*�Z/¶/=C8-0>7:^@XW*:1P%=C8C\%Q+v/;>a-X%_-0%z@XW*:^C82�%_-7-0>0%q3=:<>?5?%Fb��&'F:<57-?:^+v:A>?1*2y-0:~3=:<)*9=/;)*/w1*:A-7-0:^+Z:<>71*28-?:V@</;)F@<:<).-?>0%_-?:����Pæa�r:3;:A)*9;/;)F/J�L'P%=).-?28�P@<%_-0:]%_-7-0>0%q3=:<>?57/J1F:<2�@</4:WkQ@<28:<).-02�:AHJ+F26>?28@<2>�?æ

�;�; \Ë.  ��¤¦è]覤 §`�h§f�`¢&��Ì6ÍjÎk¤��a­Fæh�]��« �=Ã;Ç

â ã�{269;'F>0%x�;�;bn�F� â ��@</4:WkQ@A26:<).-?:z1*2�+v:A>?1*2y-X%N�?æ`28)"'*)�9;/;HQ28-?/i%ªÇ;Ã Õ 26)kSU'*)*G<28/;)*:Q1*:<C�>0%_9;9;26/¶1*2@<'*>a3=%t-0'*>?%V:&1*:<C8C\%T�P)F28-0'F>0%V5?'F+v:A>7�P@A2\%=C8:=o ã �O+v:A>?1*2y-0:&%=575?/4@<26%_-0:I%=1R'F)P%V3=%_>?2\%_G<26/=)*:D1*2µ1*26>7:<G<28/;)*:1*:<C N 'F5?5?/Q@</=)�%=)F9;/;C62v>?:|-?-02|äé£8å N '*575?/J5?:<)FGq%N�n9;'*281*:=lyBiäP~�å N '*575?/z@A/;)¶9;'*261F:=b

â ã�{269;'F>0%z�;�=b�ÇF� â �F@</4:WkQ@<28:<).-0:]1*2[+Z:<>71*28-0%���æ°+Z:<>f1*2y¾µ:A>?:A)L-?2[HQ/O1P%_C628-ts%T1*2�'F5?@<2y-X%^1*:AC N '*5?57/*��äé£8å�?æ{¹Å�;�yB1äP~�å8��æ�¹ê�;�yB6ä[¤Xå8��æ�¹ê�;�8B1äé 8å¹��æ�¹ �:�8b ã �L@</4:WkQ@A26:<).-?:`1*2�+v:A>?1*2y-X%��?æ�+Z:<>°1*28¾v:<>7:<).-02HJ/41P%=C828-_s%]1*2�26)F9;>?:A5?5?/Y1*:AC N '*575?/*��äé£8å���æ�¹,Ãf���OBiäP~�å���æ�¹MÃf��h=�8Biä[¤Xå��?æ{¹,Ãf���OB¡äé 8åA�?æ{¹�Ãf�nÃ:9*b

�Pæ�¹C�?æ ® ��§& �óel½:A¾v:A-7-0/r1*2O/=9;)L'*)*/D1F2O�L'*:A57-02O@</;HQ+Z/;)*:<).-?2vs:��L'*26)*1F2F%=575?28HJ28C626C6%=�*28C8:�%=1~'F)P%D+Z:<>?1F28-X%f@</=)*@<:A)L-?>0%_-0%:<�L'*283_%=C8:<).-0:I%_1i'*)*%Y�L'*/_-X%Y+P%=>7-?:I1*:<C8Cml½:<)*:A>?9;26%V@<26)F:A-028@q%V1*:AC N '*5?57/*b��3_%=C6/=>?2F)L'*HQ:<>726@A2*1*2@��æd+Z/;575?/;)*/]:<575?:A>?:f-0>?/�3_%_-?2F5?26%&26)VSU/;>7Hz%`1*2O-X%=�Z:<C8C\%D28)^@<'*2�s:j57+v:A@<28�*@q%_-0%

C\%&SU/;>?HJ%]1F:<CZ@</;HQ+v/=)*:<).-0:_BO28C�Hz%_-?:<>72\%=C8:j@</;)K@A'*2�s:r@A/;57-?>?'*2y-0/~:A1K26C�HQ/O1F/T28)z@<'F2�s:¦@</;C8C6:A9.%_-0/]@</=)

�O��à �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�2�-0'*�*2d>?:|-?-?26C628)*:<2�/=+*+*'*>7:V26)�SU/=>?HJ%Q1*2�9;>0%t�P@</K@A/;HQ:~9;C82d:A5?:AHJ+*2dSU/;>?)F28-02�)F:<C6C8:T�P9='*>?:J�;�;b�©OB{�;�=b��FB�;�;b�ÇFb

¯�°>¯�±p²´³sµ$&%_-X%(C\%u+*>?:A5?:A)L-?:#@</;)O�P9;'*>?%=G<28/;)*:"1F:A-0:A>?HQ26)P%_>?:EC\% +Z/;>a-X%_-0% 26),Hz%_5?50% 1*2T/=C626/u@XW*:%_-?-?>0%q3;:A>?5?%Q28C[@</;)F1*/=-?-?/*b

p

p

l

ld

1

2

2

1 [ Æ æ[@�h¹Å��ÃAç¦c�% â~¹,Ãf�nëY26)*@XW� Æ ¹ ��Ã^H �þ�h¹7B^H³ Õ � . Õ ¹��:9;Ã�ÑI9=�tH < ´ Õ �}. Õ ¹�Ãf�nÃF�´�r5��tH �-?'*�*2�@A/;HJHQ:<>7@<26%=C62 9=/;HJ2y-0/^%q3L3428-0%_-0/�4-?26HJ%=>?:¶C6:¶+Z:<>?1F28-0:i@</;)F@<:<).-?>0%_-?:(�}%=5¨·57'*HJ:A)*1*/u3_%=C6/;>72`/;+*+Z/;>a-0'*)*2&1F:<2/��$A�|B9;28'*57-?28�P@<%=)*1*/YC8:I%=5?57'*)*G<28/;)*2[S�%_-7-0:_b

°¬¼#½�¾�¿YÀy¼#Á�Â$&%=C6C}ln:A�L'P%=G<28/;)*:Y1*2°ñh:<>7)*/;'*C8C62e9;:A)*:<>?%=C628G<Gq%t-X%w5?@<>728342\%_HJ/x[ Æ a ³F® �Æ �;� a ³;&f� Æ ¹m[@� a³F® �� �;� a ³;&f�P� a ¸���� Æ a �þ�|�X® � ³=�*�}�:â4� a�è $ ��$»³F® � �;�OBr:<5?57:<)*1F/M® C6%"3;:<C8/O@A28-ts%u)F:<C@</;)F1*/=-?-?/V:&>?285?'*Cy-X%=)F1*/Q® Æ ¹�ÃFBZ®��h¹ê®Tb � 5?5?:A>73_%=)*1F/Q@XWF:´� Æ ý�@�h¹7�þ�j572µ>726@q%q3_%~+Z:<>®T�

® � ¹ �³ �\[ Æ Ð[P�»� a ³;&+�þ�� a ¸���� Æ a �þ�»�[�:â a è $ ��$ ¯1*/�3;: è $ ��$J¹ � Æ a �?� a ��<Q¹�Ãf��h a �;��h a �;�{¹ ëf��/=-?-?:<)L'F-0:z1P%¶-0%=�v:AC6C8:J+Z:<>TC\%57-?>?/;GAGq%_-?'*>0%x26)#28)*9;>7:<5?57/*Be+v:A>^26C°9;/;HQ28-0/i:w+v:A>VC\%p57:<G<28/;)*:R1*2h'*5?@A28-X%Ob�$&%=C8C6:J-0%=�Z:<C6C8:+v:A>J-?'*�*2D@A/;HQHJ:A>?@<26%=C62j>726@<%�3426%=HJ/�.��:âí¹ìÃ+��Ã;Ã;h:Ç"1P%"@A'*2D2y-0:A>0%=)*1F/"5?'FCD1*26%=9;>0%_HJHJ%1*2��i/4/O1f�k-?>0%p¸u:K���R¹�®�â=�;×�572°/_-?-028:<)*:R® 4 9f��©=�¶HD®t5K�U>?26@A/;>?1F2\%=HQ/R@XW*:K+Z:<>TC\%+*>?/4@<:A1*'*>?%�28-?:<>0%t-0283_%w@</;).3426:A)*:R+P%=>a-028>?:Q1P%�'*)�3_%=C8/;>?:Q1*2e-0:<).-0%_-02y3;/p1*2g¸ )*:AC6C\%w+P%=>a-0:+*2\%t-?-X%K1F:<Ce1*2\%_9;>0%=HQHJ%z1*2H�i/4/O1+�x@XW*:Q+v:A>�.w�:âp¹ÁÃf�nÃ;Ãih:ÇKSU/;>7)*2657@<:J¸ 4 Ãf�nÃ;ë.�;�»bJó�%+v/=>7-X%t-X%V26)wHJ%=5?5?%Q)F:<C�@</=)*1*/=-7-0/Y50%=>�s%Q�L'*28)*1*2�éê ¹,³F®Ú·�â � �L9T¹�Ãf�y���;ë�Ñ&9Y®_5Ab

�;�; \Ë.  ��¤¦è]覤 §`�h§f�`¢&��Ì6ÍjÎk¤��a­Fæh�]��« �O�;�

¯�°>¯�±p²�³nµ$&%t-0/�28Ce@<26>7@<'*2y-0/i26)��*9;'*>0%OB�@q%=C8@</;C6%=>?:YC6%i+*>7:<5?5726/;)F:�[*²^)*:AC°57:<>?�*%_-0/;28/p+Z:<>V%q3=:<>?:z'*)P%+Z/;>a-X%_-0%±��'*5?@A:<).-0:T1P%=C�>?'F�*26)*:|-?-?/*b

0 .25 .5 .75 1

.5.75

.25

1.

0 .25 .5 .75 1

.2

.4

.6

A /A2 1

A1 2A

l

d

l1 2

h d2

l

2

d2 2d

pI

d

3

43

K

h1

A /A1 2

1A A2 h= k V2g

21h= k V

2g

22

C D

� Æ ¹º�VH �P�g¹V9YH� Æ ¹7�þ�h¹C�þ<g¹,ë^H âi�h¹�hV@<Hâi<h¹ �shV@AH â È ¹º�=��hV@<H�ê¹Ch=Ã;Ã^Cu®tHJ28)�{C6'*281*/*�n%=@<�L'P%cd'*�*2�@</=HJHQ:<>7@<2\%_C62v%Q57:<G<28/;)*:I@<28>?@A/;C\%=>7:=b0f'*�*26)F:A-?-?/Y@</;)ªÎJ¹,�V�P%=50%t-0/Q5?'*C8C\%~3;:AC6/4@<2y-_s%

)*:AC[-0'*�Z/p�U26)bâi�»�»bcd>0%=57@<'*>?%=>?:]C6:&+Z:<>71*28-?:&1*265a-0>?28�*'*2y-0:)*:AC�5?:<>7�P%_-?/;26/*b0¦%=@<@A/;>?1*/Y57:<>?�*%_-0/=-?26/�ë.-0'*�Z/?ÎJ¹MÃf��hV�P%_50%_-?/5?'FC6C\%~3=:<C8/O@A28-_s%^)*:AC[-0'*�Z/*bc�:A>fC6:`3_%=>?26%=G<28/;)*2v1*2�5?:AG<26/=)*:I26)NË�:]±3;:A1*2�-X%=�Z:<C8C6:_b¡ìI/=HJ2y-0/^%q3L3428-X%t-0/*b°>¼#½�¾�¿YÀy¼ÚÁ�Â

c�>7:<)*1*:A)*1*/ 2&1*'*:k+v:AC62`C826�Z:<>72D1*:A2]57:<>7�P%_-0/=2&@</;HQ:x5?:AG<26/=)*2$í :�î :k5?@A>?283=:<)*1F/ C}ln:»·�L'P%_G<26/=)*:p1*2Dñh:<>7)*/;'*C8C62f9;:<)F:<>0%_C626GAGq%_-0%"5?2r/=-?-?26:A)*:=��[*ï�¹�[+²�BÚð�ïŹ ÃFBi[�ñ ¹f[ U :ð{ñ�¹V9y���*�g·Oâ �È ��¹ê�nBf��Çi©:B^H|®_5<B-�+ïD d�*ñ�¹�� Æ a �@�¦:I�L'*26)*1F2m�[*²j¹ò[ U #³;&[��� Æ a �P�|� a ³ ð

� ñ� a ³;&Ðóô�õ . ¸n. ��.â;. ð

�.�s& a õ $ În$ ð

�$�§&"ö÷ �

$&%_C6C\%f@</=57-X%_)*Gq%`1*:AC6C6%r+Z/;>7-0%_-X%D572FWP%�ð-�°¹C9y���*�E·�â �� ��¹C9P���L9;9;H|®_5d:�ð-<g¹J9y���*�g·�â �< �e¹Ã+��9Y©4�sh_H|®_5<b�$&%=Cr1F2\%=9;>?%=HQHz%x1*2A�i/O/41f� @</;)í�����x¹øð-��âi�v�:׺¹ �O���;�=Ã:BFBp.��:â Æ ¹Ã+��Ã;Ã=Ã;ÇK:Q����<]¹!ð-<�âi<K�;×�¹ ©=Ã;h;©=ÃFB".w�:âi�]¹ Ãf�nÃ;Ã;Ã=ëK5?2�/=-7-028:<)*:^>7265?+Z:A-7-02y3=%_HJ:A)L-?:Y¸§�T¹Ã+��Ã.�4�~:<1E¸s�`¹ Ãf�nÃ.�:Bz@A/;)x@<'*2�5?2d+v/=5?5?/=)*/R@q%=C8@</;C6%=>?:]C6:T+v:A>?1*2y-0:T1*2�@<%=>?28@</K1F2657-?>?28�*'*28-?:=b$Vln%=Cy-0>0%&+P%_>7-0:_BO)F/=-02�2�3=%_C6/;>72P1*2ÚÎs$g572v+Z/;575?/;)*/~@q%=C8@</;C6%=>?:f%=)F@XW*:`C6:f+Z:<>71*28-?:r@A/;)*@<:A).-0>0%t-0:/_-?-0:A)*:<)F1*/*�

õ . ¸n. ��.â;. ð �.�§& ¹�¸s� �@� a � Æ a �þ<âi� ð ���§& a ¸s< �þ�âi< ð

�<�§& ¹,ëf���:BF�&Hi¯

õ $ În$ ð �$�§& ¹Å�}Ãf��h a �;��h a � a Ãf�n� a Ã+��h;� ð���§& 9P�n�.�VH2��¦/=-0:IC8:&+v:A>?1*2y-0:&5?2�@<%=C6@A/;C\%V28)F�P)*:�[+²D/=-7-0:<)F:<)*1*/�[*²h¹º�;©O��B;B;B^c{%Ob

�O��� �{�D�e�<�h�j�����;�; (¡��j¢D£[¤ ¡��¦¥d�¨§Y�j§`�¨©r�`ªi�|��«D¤¬¤¬­O�aªi�¨���<�D¥�§`�¨©¦�

¯�°>¯�±p²´³sµ$&%_-0/R28C�@A26>7@<'*2y-0/R26)p�*9;'*>0%OB��4'*%=C6:V1F:A3;:Q:<575?:A>?:Y26C�C6283=:<C8C6/z1F:<C6C}l�%_@<�L'P%�Ö )*:<C{5?:<>7�P%_-?/;26/+v:A>¦%�3=:<>7:T'*)*%Y+Z/;>a-X%_-0%K�Tô

DE

F

C

H

hh

l

l

dd

d

d

S

I

2

2

1

11

2

2

h1

p

� Æ ¹º�VH �P�g¹,�+��h^H� Æ ¹,�+�¿�^H �þ�g¹,ëYHâ Æ ¹ê�;��hY@AH âi�°¹�ë^@<H�@¸^¹ �]H �ê¹Å��Ã=ÃYCt®_HQ26).°¹,Ãf�y�;��hVHJH [*²g¹Å�sh=Ã=Ã;Ã;Ã^c{%cd'*�*2�@A26>7@</;C6%=>?2v26)w@<:AHJ:A)L-?/c�>?%=5?@A'*>0%=>7:IC6:&+Z:<>?1F28-0:I)*:A2�1*'*:I5?:A>?�P%t-0/;2± :<12Ä�9;/=HJ2y-02v%�3L3428-0%_-02ì&/;HJ2y-0/V28)N¶�@</;)ªÎJ¹ê�;�n�Q�P%_50%_-?/Q57'*C6C6%

3=:<C6/4@<2y-_s%V28)2â Æ bZ0¦%=@A@</;>71*/J28)NË�@</;)ªÎQ¹,Ãf��h�P%=5?%_-0/Y5?'FC6C\%~3=:<C8/O@A28-_s%^28)2â Æk����é¢K¡>=­�¥¦§¡>¢Z dÖ nn�¥¢K¡>¢F�|¦§���ÿ¦ H �[£:¡# =¢äêú¬�=à ê å´¢X ��u�f :�þ�n¢ H ¡>¦'¡>¦§¡ùe¢��u¡��n¤X£:��£yI°¬¼#½�¾�¿YÀy¼#Á�Âc�>?:<)F1*:<)*1F/`2.1*'*:°+v:AC62;C826�Z:<>?2=1*:<2L5?:A>?�P%t-0/;2L@</=HJ:�5?:AG<26/=)*2yí :îí:°57@<>?2y3;:A)*1*/`C}ln:A�4'*%=G<28/;)*:1*2`ñ°:<>?)F/;'*C6C82r9=:<)*:A>0%=C826G<G<%_-X%E5?2`/_-?-028:<)*:_�z[*ï ¹f[ U BÚð�ïŹ ÃFBi[�ñ ¹f[*²w:Ðð{ñÁ¹ ÃFB�+ïD d�*ñp¹7Ö a � Æ a �P�H d�@¸J:I�L'*26)*1F2m�Ö�¹��@¸� Ò� Æ d�@� a [*²% æ[ U³;& a õ . ¸n. ��.â;. ð

�.�s& a õ $ În$ ð

�$�§& �

$&%=C6C6%¦@A/;57-0%=)*G<%`1*:<C8C\%r+Z/;>a-X%_-0%D5?2OWP%�ð Æ ¹V9y���F�g·�â � Æ �e¹7Ç+��9.ëO�qHD®t5�:�ð-�h¹V9y���*�E·�â �� �e¹�+�nëih=�=H|®_5<b $&%=C&1F2\%=9;>?%=HQHz%"1F2��¶/O/41f�î@A/;)º��� Æ ¹ ð Æ â Æ �;׏ ��9*��9Y©4�;B�.��Lâ Æ ¹Ãf�nÃ;Ã;B;BK:Q�����]¹�ð-��âi�v�;×x¹E©=Ãi©=ëih4B".��:âi�]¹ Ãf�nÃ;Ã;ë;ëR5?2{/=-?-?26:<)F:^>?2657+v:|-?-?283_%=HQ:<).-0:Y¸ Æ ¹Ãf�nÃ;ë:9z:A1E¸§�D¹ÅÃf�nÃ.�:ÇJ@</;)p@A'*2{572{+Z/;5?57/;)*/R@<%=C6@A/;C\%=>7:TC8:~+Z:<>71*28-?:~1*2d@q%=>726@A/K1*265a-0>726�*'*2y-0:_b$Vl�%_C8-0>?%&+P%=>7-?:=B4)*/=-?2Z2�3_%=C6/=>?2*1*2>În$g5?2Z+v/=5?5?/=)*/~@<%=C6@A/;C\%=>7:¦%=)*@XW*:rC6:¦+v:A>?1*2y-0:¦@</;)*@A:<).-0>?%_-0:/=-?-?:<)*:A)*1*/*�

õ . ¸s. ��.â;. ð �.�§& ¹º¸ Æ � Æ a � Æâ Æ ð � Æ �;�s& a ¸§� �P� a �þ�âY� ð ���§& ¹V9;9f��Ç:9YH¶¯

õ $ În$ ð �$�§& ¹Å�¥Îyú a Îi� a Î�û�� ð�Æ�s& a Î Q ð

���§& ¹ �s©+��Bi©VH2��r/=-?:IC6:&+Z:<>?1F28-0:&572�@q%=C8@</;C6%V26)F�*)*:/Ö /=-?-?:<)*:A)*1*/?Ö ¹VB:9P�nÃ;�^Hib

�;�; \Ë.  ��¤¦è]覤 §`�h§f�`¢&��Ì6ÍjÎk¤��a­Fæh�]��« �O��ë

¯�°>¯�±p²�³nµ�¦:<CO1*2657+v/;5728-?283;/r26)~�*9;'*>0%D-?>0%=)F5?28-0%r'*)*%`+v/;>a-X%_-0%��YB;@q%=C8@</;C6%=>?:�26CL3_%=C6/=>?:h1F:<C6C6%r+*>7:<575?26/=)*:[+ïp)*:<@A:<5750%=>72\%z%^HJ%=).-0:A)*:<>7:]28C[5?2857-?:<HJ%Y28)w@</;)*1F26G<28/;)*2v57-X%_G<26/=)P%=>?28:=b

0 .25 .5 .75 1

.2

.4

.6

A /A2 1

A1 2A

K

h= k V2g

22

l2

d2d

d3

D

C

l1

l 3

d3

1

B

ApA

θ ü�ýiþ;ÿ�� ü � þ � � ü � þ � ��ýiþ

��� � � � þ �� � � � þ �� � þ ������� ��� �þ������� � ��� �

þ����� "! #%$ '& $ �(�*),+

þ�.- !�/0!21 $ /03 ��� !4�5 ��$� � 176!.& 5 � 1"3 -8$9%$ � & � ! � 5 1" $ � �;: 03 - ��� 5 1'1 $ + þ ��<

=?>A@CBEDGFH>8IEJK � 4�5 � & $��ML 5%N 3O!�P � $ � 5 & �RQ 5 � $ 3 ��� �RS 5 � 5 0! � � P%P%!21T!U10 "!�V 5XW / �ZY ![ �\�^]`_ \a ]cbed \ þ[ �f�g]h_ fa ]9bid f ]kj�lnm l ü l� l [ �l�o]kj'p + p [ �p�9q

� /'3 � 1"! � & $er [ \ þ ÿ� �isHt � �

ýuþ�i�v�xw���� � y / : [ f þ ÿ

� �esHt � �� u þ w��z����{xw � y / :_ f þ _e| 5 d f~} d \ þ } ü � / �(��� þ } ÿ�� <X� 5 � 10 5 10 "!21'1 � / ��Y ! : � /'� 5 101 � 4 ! � 5 � 1 5 : � � ý¢þ �i�v���i��� 5���� ý-þ w����� : � � � þ �i�v���ÿ 5���� � þ ������w�� 5� � � � þ �i�v�i��� 5��� � þ ÿ ��� ÿ � � 5 3 � &O! � & � ! S "! ��� !U& ��� $�$ &i��/ � $ 101 � 5 � 5 m ýþ �i�v����� : m � þ �i�z���

ÿ5 m � þ ���z�ÿ<�� 5 � 5 � 5 0& � 1 5 %$ � 5 � 10 "!21 5X5 & � /'10 � - 3 � 1 5 � /03 � 1T! N 3 �(� & �

j p + p [ �p� þ�i�zw [ ��� s�� ] � u [ ��� þ�ÿ

{i�v�ÿ� �

� � / � q j l m l ü l� l [ �l� þw���w��z{x� �

� � / � �) ! �(� !X�e � � ! 5 /0�e 5 /'/ � $ � 5 / � � ! 4 ! N 3 ��� & � _ \ þ �xw��x���

ÿ� ! <

���ÿ

�������%������������ ¢¡���£�¤R¥¦¡���§¨�ª©���©«�ª¬­�«®��¯��°�¥±¥±²���®��ª�Z�%��§³©«�ª¬��´ = ´�µ·¶¹¸�º» � & � /'� $ / � 1 � 4 $ �(�9¼OS 3i "!½ 0!��e�e 5 / 5 � 1T!¾3 � � 3 � 1 $ & � "!7¿? 5 &e&O! � 5 � 1 $ ��� 3 � 5 � 1" "!! N 3O!�! ��� !��e 5 /0/ � $ � 5 _ \ !�/ �(�e� /'1" 0! 5 & 5 / 5 � 5 �(�CL ! � - � 5 � 1 5 &O! � '3 - �(� 5 101 $ �(� W & $ � $! 4�5 «!21010 "! 4�5 0/"!71 $ � � & � /0� $ / � 1 � 4 $ &O!� "!2¿8 5 &e&O!� 5 / Y 5 � !71 � P#P;!21 $�%$ � 3 � !�� 5 0& � 1T!�& � !� � #$À#$ � 5 � 1" 0!21T! %$ �½Á þ

�2�i<�Â�$ �Ã� &O!21 � !À& � /0� $ / � P � $ � 5 : ! ��%$�� !� 5 � !�� $ '1"!21T!& L ! N 3O! Y 5 / � ! � 1 � / 5 � �? � 3 � 1 $e<

1

2

3

4A

l

l

l

l

R

k=20 B

d

ü�ýiþ� � ü � þ w � ü � þ�ÿ��ü Ä þ � � � þ � � �

þ���zw� � þ ���z�x� ��� _ \ þ;ÿ !21 �103i101 �i� & � ! � 5 1" � / $ � $�%$ /'1T! � 1 � : S $ � � 1 �! 4G4 � 1"!21 � : 03 - �(� 5 101 $�#$ ��+ þ ��<=R>A@ÅB¨DGFH>AI¨J) ! �(�CL 5#N 3O!�P � $ � 5 & �«Q 5 � $ 3 �(� �­S 5 � 5 "! � � P%P%!21T!Ã/ � 1'1T!¾10 "!¾V 5nW : � /'3 � 1"! � & $ [ \ þ[ f þ [ : _ f þ _O| 5 & d \ } d f þ � } ü �;: / � $ 101 � 5 � 5[ �

þ�eÆ�s _ \ } _O| u � a ]9b s � } ü � uÈÇm�É l s ü l � � u ]kÉ p + p$ /0/ � ! �(� 1 5 � �(�i�?� 3 � 5 � � [þÊ w������Ëw�������;�i�z��� m�] �2�i�ËwÍÌ ýCÎ

�) ! � 4 ! �($ 5 & � 03 S $ / � 126!Ï 5 � !21 � 4 ! � � þ

���z������ / �Ð� � $ 1 � P%P%!Ñ&e! � & � ! S 0! ��� !`& �� $�$ &i�Ò3 � 4 ! ��$ 5 � 5 � ��Ó !7101 $ 5 & L !21010 � 1 $ m þ �i�v�x� & � �i � � $ 1 5 � 1T!21 � 4 $ 5 : � 1 5 "! ��Ô& $ � 5 �(�ML 5 /'�e 5 /0/ � $ � 5 / $ �e 0!Ò/ � $ 1'1 � 5 � 5 [ þ�i�Õ����w � y /�&e! N 3 � / � � ! 4 ! � !�� $ '1"!21T!�

þ[ t � � �

ÿ�þw��zw�����Öx�;��× Ä � � � / þ �i�Ëw�w��U� y / <دÙEÚ7Û�Ù(Ü7Ý"Þ m þ ���z�x�àßÞ�á¯âMÛ�âªÜÀÜ7âÅâªÞ¯ãOä�âªÜæåxÛ�ÙçÙÕÛXèiÛ�ÝéâªÞ�èAêÅÛ�âCâMÛ�å�Þ¯ÙçÙÕÛ�ë¯ä�ÝéÚ7ÛÀå�Þ¯Ù�å�êÅÛì�Ý'Û�í�í�Ûå�êïîÃÜÜ%å�ð�ñÐòXÛ�Ù�Ú7Û�Ù(Ü7Ý"Þ m ýUþ �i�z���x� á¯ê ßÞ�Ü7âCâÈÞ¯ãOä�âªÜÀÝéê(áÈèOÞ¯âÅâCêçÚ7Û�íÐÞ¯ãOâÈÞU[

ýUþ�i�z�ÿ� í�óOáÞ ��� ýYþ ÿ�ÿ

����� ñnô�ÙçÙ0õ êçâªÞ¯Ý'Ûö%êMÜ7ã?Þ�á¯äÍëTëTÞTáTá¯êçÚ7Û¾ëTÜ7ã¦÷%äÍÞTá¯âÅê�åxÛ�âÅê�ݯê(á¯ä�ÙøâMÛ�Ú7Û m � þ �i�v�x����ù[ � þ �i�Õ����w í�óOá�Þ ��� � þfÿ��xw�� ñ¢ú¹õ êçâÈÞ¯Ý'Ûö%êMÜ7ã?Þ ßÞÐá¯âMÛ�âMÛ.Û¾÷%äOÞTá¯âªÜÐèAä�ãOâÈÜ�û;Þ¯Ýéí�Û�âüÛã?Ü7ã�èOÜ7âªÞ¯ãAå�Ü�Û¯èxèAÝ"Þ0öTöÛ�ÝTÞ ù í�Û�ãOäiÛ�ÙøíÐÞ¯ãOâªÞ�Þ�á¯ä�ä�ã�ì�Ý'Û'ýþëTÜUÙ(Ü0ìxÛ�ݯêçâÅí�êMëTÜ ù Ú7Û�ÝéêÅÛö%êMÜ7ãOê�å�Þ¯ÙãOä�íÐÞ¯Ý"Ü�å�ê�ÿ Þ¯ð7ã?Ü7ÙÕå7áþèAê ßä�èAêMëTëTÜ7Ù(ÞXå�ê�Û�Ù(ë¯ä�ã?Þ�ëTÞ¯ãOâCêçãAÛ�êÅÛxñ

������� ������ �� ������������� ������ � 5 �(� !¹�e � � !¹�e!� '1 5 & � N 3 5 /�1 $� !2� � 1 $��($ ! -e- � ! � $ 4 � /�1 $�#$ � 5 � !X/ � � � � � 1"3e& ��� 5 & ��� ! � � !¹� 5 � 5 Ô101"!X& � & 5 1 5 � ��� !� 5 & 5 �(� 5 S 0! � & 5 P%P 5 & �8��� 1 5 5 /0/ 5 � 5 �3 � �e $�-i� 5 � ! � 5 & � ! � 1 5 3 � 5 /0� 5 � � 5 � 1 $�(� / ! � !Ò � & $ 101"! <! 3 5 /�1T!~1 5 �e� ! : ! � Y 5 / 5æ5 /'10 5 � ! � 5 � 1 5 � $ 1 5 � 1 5 &O!~3 � �e3 � 1 $ & � 4 � /�1T!N 3O! � 1 � 1T!21 � 4 $ : � $ � &¨6!U! �� 3 � ! �(� ÓH$ � !�P � $ � 5 /'3 � � 5 % ! �e� / � �O¼ / � � �e 5 / 5 � 1 �8� 5 �#" 3e/'/ $ 5­N 3 �(� & �

���� %$ ¦¡���£­¤R¥¦�«¥�£���©«�ª¬���®��¯��°­¥ ����w� $ � � 5 � 5 101 5 & � � ��S � � $ "!2 5 � ! %$ � �e 5 � / � $ � 5 " 3 � & $ & ��� ! � � !X& � 3 � Ó 5 � $ � 5 � $e<ï � 6$ 65 �e!� '1 �ÕÔ%$�� !� � 5 � 1 5 � � � $ '1T! � 1 5ïN 3O! � & $ / � 4 $ S � � !­�i $ S 5 101"!� 5 3 � & � /'� $ / � 1 � 4 $�%$ � 5 '1 5 !� 0!2101 5 � /'1 � Y 5" 3 � & $ & ��� ! � � Y 5 s � 5 5 / 5 � � � $ 3 � L !23i1 $ � $�- � � 5 %$ � - !�/0/ $�%$ 5'& � 5 � 1 5 & � 5 / � /'1 5 � P%! u � � 3�101 $ /'1 $ Y 5�4 ! � 3i1"!� 5 � �R%$ � � $ '1"! � 5 � 1 $ & � 3 � / � /'1 5 � ! S�� 6! 5 / � /�1 5 � 1 5 <( "! � 5�4 !� � 5�N 3O! � 1 � 126! " 3 � & $ & ��� ! � � Y 5 � 5 ÓH$ 0P 5 $�# 3e�O! � $ 3 � � $ /'1 $ & � �O!� �1 � %$�� !� 5 � � � 5¯4 $�(� N 3e! � 1 $ &e! 5 /'/ 5 & � � 5 � & 5 / � ! � � & � � 5 � / � $ � ! � 5 � 1 $ & 5 �(� ! /'10 03i1'1"3e 0! Y 5 � � /'3 $«%$ � � $ '1"! � 5 � 1 $& �(� ! � � %$e<¨� 5 5 / 5 � � � $ : � 5 ��� !��e $ S 5 101T!2P � $ � 5 & � 3 � � $ � 1 5 / $ �e 0!«3 ��¼ 3 � 5 / � & 5#4�5 1 5 � 5 %$ � 1 $/ � !�& 5 �(� ! ÓH$ 'P;! Y 5 � ! %$ ' 5 � 1 5 & 5 � ¼ 3 � 5�5 / 5 � 1"!�/03 � � � �($ �i� : / � !�& 5 �(� ! ÓH$ 'P;! Y 5Ð5¯4�5 � 103O! � � "! & Y 5 & � 4�5 � 1 $ 5 / 5 � 1T! � $ /03 �(� !�/�1" '3i10103e "!�/ $ 4 "!�/�1T! � 1 5 < » � ! S�S�� 3 � 1T! : 5 /0/ 5 � & $ N 3 5 /�1 5 ÓH$ 0P 5� $ � /'1T!2P � $ � !� � 5 - � / $ S�� !�! � Y 5X5¯4 � 1T!2 5 Y 5 � 5 Ó 5#N 3 5 � P 5 �e $ �e � 5 & 5 � � $ � 1 5 / � ! � $ 4 � �(� 5 ! ��� 5Ó 5%N 3 5 � P 5 & 5 �(� 5 ÓH$ 0P 5 ��� N 3O! � 1 $��ML �(� /�1T!�3i "!� '/ � & � Ó 5 � $ � 5 �i� & � � / $ � ! � P;!��e3¨6$ � $ �1T!� 5 ! ��%$��(� !2/0/ $& 5 ��� !�/'10 03i1'1"3e 0!�! � Y 5 � 5 ÓH$ 0P 5 & � � $ & 5 /'1T! 5 � 1 � 176! <» ��S 5 � 5 0! � 5 �e 5 / $ 3 � #$ 0� $ & � ÓH$ � ! N 3O! � 3 � N 3 5 5 & � / $�� !21 $ 3 � /03 $ 5 � 5 � 5 � 1 $ & � /03e� 5 ¼ � 5/ � ! 4 �6! Y 5 � ! ÓH$ 'P;!�/0!� 76! S 5 � 5 0!21T!�&O! �(�CL !2P � $ � 5 & 5 ��� !��e 5 /0/ � $ � 5 Y 5 ! S�� / 5 � $ � ! � � 5 � 1 5 ! ��� !/03e� 5 ¼ � 5¹5 &O! S � � / ÓH$ 'P � 4 � / %$ / � Y 5 ��� 4�5 5 ! S�� / %$ � $ 1"! �eS 5 � P � ! � � 5 � 1 5 s ¼OS 3i "! ����<Õ�� u <

x

y

p

U

S

dS

τ

θ

- n

w

) ��S 3e 0! ����<Õ��ir K Y 5 � !�& � ÓH$ 'P 5 �($� ! � � & � �e 5 /0/ � $ � 5�5�4 � / %$ / 5 <) ! �(�($ / Y 5 � !Ð& �Z¼OS 3e "!�!��e�O!� 5 Yi� !� $Ð Y 5 / 5 &#* 65 �CL 5 � 5 � 5 � 1 $ ���i¼O�e� 1 5 / � � $ & � /03e� 5 ¼ � 5& 5 �Z#$ 0� $ � /'3 � 1 5 �6!�&#+ þ s } _ I ]-,,,/. u &#*¦&O! 3 � � 5 ��� 1 5 S 0!�P � $ � 5 / � $ 101 � 5 � 5+ þ

021 s } _ I ]-,,,/. u &#* sª����<Õ�ÿu

Y 5 65 � ! ÓH$ 0P%! 5 !71T! <�3 & � /0� 5 1'1 $ & 5 �(� !X/03e!�/ 5 � � � � � 126! �ML 5 /0�i 5 /'/ � $ � 5 s�����<�� ÿ u � $ � 65 �e "!71 � ! Ô� 5 � 1 5 � ! � ! �(#$�� ! - � � 5 � 5 4 � !�! � ! � � 1 � ! �(� N 3O! � 1 $�� ! #$ � $ / 5 � P;!�& 5 ��� ! Ó 3 � P � $ � 5 ��� 1 5 S 0! � &O!�e 5 /03e�e� $ � 5 � !U& 5 1 5 � ��� !�P � $ � 5 & 5 � ! � � � & � �e 5 /0/ � $ � 5«5«4�5 �($� � 176! � 5 �(�ML �(� 1 $ � $ & 5 �8%$ '� $� Y 5! ��$ $ 4 $�� 1"!�/ $ � $ S $ 4�5 � !71 � &O! ��� 5«5#N 3O!�P � $ �e� & � � ! 4 � 5 54 K 1 $�6 5 / <

���� �������%������������ ¢¡���£�¤R¥¦¡���§¨�ª©���©«�ª¬­�«®��¯��°�¥±¥±²���®��ª�Z�%��§³©«�ª¬��) !21T! �ML � � � $ /'/ � - � � � 126!Ò& � 4 ! � 3�1T!� 5Ò5 /'� � � � 1"! � 5 � 1 5 � ! sª����<Õ� ÿ u #$ � / � & 5 � ! � $ ! �(�($ "! %$ � 5/ 5 � � � � 5U5 / 5 � � � $ � �7" 3i/0/ $ ��� 1 $ � $ !�&n3 � � � �(� &i $Ð � %$�� !� 5�5 5 Ye� ! � $ ! � � 5 � $ & � 4�5 & 5 5�(� Y 5 � $ & $ ! S�� / %$ � $ � &e3 5 1 5 � �(�i� & 5 �(� ! Ó 3 � P � $ � 5 �(� 1 5 S 0! � &O! 5 & �(� N 3O! � � !�/ � 3 � $ & � 4�5 � 1T!�e 5 � $ � & 5 "! � 1 5 � /0� 5 1'1 $ ! ���ML ! � 10 $e<

Û 8) ��S 3e "! ����<�����r:9 �(� 5#5 & � %$ ' 5 � 1 5 � 5 � �;" 3e/0/ $ ��� 1 $ � $ !�&�3 � � � �(� &e $er=< Û�> " 3i/0/ $ � $ 1 5 � P � ! � 5 :< 8?> " 3e/'/ $ 4 � / #$ / $e<�s@9 !�P $ � ! � !� !21T! ��� $ /'/ $ �(� & � !«3 � ! -8$��(� !­& � � � %$�� !�P � $ � 5 %$ ��� �A" 3e/'/ $/ 5 �O!� 0!21 $ u <» �e� P � ! � $n%$ �¦� � � %$ '&O!� 5 Y 5 � 5 �­ !�/ $ & � " 3e/0/ $ � $ 1 5 � P � ! � 5 � 5 � ��� 5%5 & � %$ ' 5 � 1 5 / $ � $%$ � 5 ���c¼OS 3e 0! ����<���� ! 5 Y 5 ! !�3e/0!Ã& 5 �(� ! �($ $ / � ��� 5 10 � !À1" 0! � !Ò�O!� �1 5 Ó $ � 1T! � 5æ5æN 3 5 �(� !� $ /'1 5 � $ 5 & 5 �� � � ��� &e $ &O! �i� $ 3 � !� � /'3 � 1"! � 1 5 � 3 ��� !À& 5 ��� 5 ÓH$ 0P 5 & � �e 5 /0/ � $ � 5 < » � ! S�S�� 3 � 1T! :� 5 �(� 5 � � $ 1 5 / � & � " 3e/'/ $ � $ 1 5 � P � ! � 5 � 5 !�P � $ �e� 1T! �eS 5 � P � ! � � / $ � $ � & 5 � 1 � ! � 5 � 1 5 � 3 �(� 5 &O! 3 � / �%$ � %� 3e& 5 Y 5 � �B" 3i/0/ $ 5 / 5 � 1T!�3 � / � /'1 5 � !�& � ÓH$ 0P 5 !� � /03 � 1T! � 1 5 � 3 �(� !�/'3 ��#$ 0� $~s �O!� 0!�& $ /'/ $& � & LC3�� 5 � - 5 '1 u < � 5 �³ !�/ $ 5 ! � 5 � 5 %$ / 5U4 ! �e� $ ��� � $ & $�- 5 � & � 4�5 '/ $�#$ � 5 65 / Y 5 � !21 � P%P;!71 $� 5 �(� ! ¼eS 3e "! ����<Õ���;-?< K � $ /'/ 5 4 ! ��� Ó !2101 � Y 5 S�� 6!~� 5 � 3 � 5 � & ��D 5 � � $�� &e/FE sCw�� u �($ /�1" "!71 $� � � � 1 5 / 5 �O!2 "! � ��� 5 & � !21T! � 5 � 1 5 ! 4 ! ��� 5 & 5 ��� !�/ 5 P � $ � 5 � !�/0/ � � ! S 5 � 5 "! � & $ 3 � !X/ � ! 4 $ '1 � %$ /"!5 � $ � /'1"!�P � $ � !� � ! <6G ��� 103 � 1 � 4 $� Y 5 3 � �e � � $ 5 ¿ 5 101 $ & 5 �(� ! 4 � / %$ / � 126!�65�N 3 5 �(��$ & �RS 5 � 5 0!� 5 & 5 S � � / ÓH$ 'P � 4 � / %$ / �/03 �(� !c/'3e� 5 ¼ � 5 & 5 �� � � ��� &e $c Y 5 ��� &e3e ' "! �i� $ & 5 �(� 5 ÓH$ 0P 5 !2/0/ 5 � 1 �¹� 5 �� !2/ $ � $ 1 5 � P � ! � 5 < » �%$ � Ó $ � 1 $ 1" 0! � 5 ¼OS 3i 5 ����<���� ! 5 ����<Õ���;- � $ /�1" 0!�1"3�101T! 4 � ! Y 5 � ! 4 � / %$ / � 176!­�e $ &e3 5 3 � 5#4 � & 5 � 1 5Ó 5 � $ � 5 � $ & � / 5 �O!2 "!�P � $ � 5 � �� 3 � 5 ¿ 5 1'1 $ � $ � / � �i3³6$�%$ �i¼e� !� 5 !2&Ã3 � / $ 101 � � 5 /'10 "!21 $ & � " 3 � & $!�& � ! 5 � 1 5 ! �­#$ 0� $e<H9 !¾/ 5 �O!� 0!�P � $ � 5 & 5 �(��$ /�1" "!71 $.� � � � 1 5 / � /'� � 5 S ! Ó ! � � � 5 � 1 5 � %$ 0&O! � & $ Y 5 � ! 4�5 �($� � 126!�1T! �eS 5 � P � ! � 5 /03 ��%$ � 1 $ � $ & 5 ��#$ 0� $� ! ��%$�� !21T!�/ 5 %$ � & $�� !�1 5 $ � !�� $ 1 5 � P � ! � 565FIKJ þ � [ / �(������� 3 � [ 65 � ! 4�5 ��$� � 176!�& 5 ��� ! #$ 0 5 � 1 5 ! �(�MLML 5 � � ! %$�$ 0& �(� !21"!Ò!�P � � 3i1"! � 5� � /03i "!21"!X!U�e!� '1 � 5 &O! � �e3 � 1 $ & � � /'1"! S�� $ ! � 1 5 � $ 5 <� 3 5 /'1"! 5 /'�e 5 /0/ � $ � 5 � & � 5 Y 5 � �#" 3e/'/ $5 /�1 5 � $ ! # 5 � 5 0!¾1" 0! � þ � 5 � þ t¨��� � 5 � 10 5 & 5#4�5 & 5 5 � 5 "!� 5 1" "! � þ t¨��� 5 � þ t�<» � - !�/ 5 ! ���ML 5%N 3O!�P � $ � 5 & � Q 5 � $ 3 ��� � / ��Y ! N 3 ��� & � 3 � !n�e 5 /0/ � $ � 5 & 5 5 / 5 � 1 5 s S "!�& � 5 � 1 5 & ��e 5 /0/ � $ � 5 Ó ! 4 $ 5#4 $�� 5 u � 5 �ON � N*t¨��� 5 &Ò3 � !��e 5 /0/ � $ � 5 5 / 5 � 1 5 s S "!2& � 5 � 1 5 & � �i 5 /'/ � $ � 5/ Ó ! 4 $ 5¯4 $�� 5 u � 5 tE����P � N±t�<79E$ /'10 "!21 $­� � � � 1 5 / � 10 $ 4�5 76! N 3 �(� & �x� 5 �(� 5 %$ � & � P � $ �e� & � / 5 �O!� "!2 5� 5 �(� !�/ 5 #$ � &O! � 5 126!�& 5 �� � � ��� &e $ 5 � $ � YRQ5 �O!2 '1 5 & 5 �(�CL 5 � 5 S�� ! �(� 5 1 � !Ò65 /'1"!21T!æ& � /0/ � �O!21"!�� 5 5 ¿ 5 1'1 � 4 � / %$ / �GS�� 6! � 5 �(� !��e � � ! � 5 126! & 5 �x � � �(� &e $�� !�/ 5 �O!� 0!�P � $ � 5 / � 4�5 �Õ¼ ! �(� 5¯4 � 1T! - � � � 5 � 1 5 � 5 � 3 � 5 � & �AD 5 � � $�� &e/ � ! S�S�� $ � & � � ! w���<S9 ! � ! S�S�� $ 5 #$ � / 5 S 3 5 � P;!«& � N 3 5 /'1T!«/ 5 �O!2 "!�P � $ � 5 65� � � ! � !71 $ 5 3i� 5 $ & 5 ��� !��i 5 /'/ � $ � 5 ! 4 ! �(� 5 & 5 �e � � ��� &e $­ Y 5 �(� &e3 5�N 3 ��� & � 3 � !«& � /'/ � ��� 5 10 � !

���� %$ ¦¡���£­¤R¥¦�«¥�£���©«�ª¬���®��¯��°­¥ �����1" "! � $ � 1 5�5�4 ! �(� 5 %$ � 5 � $ /�1" 0!21 $ �(�c¼OS 3e "! ����<Õ����< G 4 � & 5 � 1 5 � 5 � 1 5 : N 3 5 /�1T!½& � /0/ � ��� 5 1" � !�e $ &e3e ' 76!�3 � ! ÓH$ 0P%!Ð& � �e 5 /0/ � $ � 5 � ! 3 � � /'3 � 1"! � 1 5 65 & � 5 1'1T! #$ � 5 � �B" 3e/'/ $ 5 &965�N 3 �(� & � 3 � !ÓH$ 0P%!½& � 5 / � /�1 5 � P;!UT­� 5 � �� � � �(� &e $ : 5 � � 63 �(�¦S 5 � 5 "! � 5 � 5 �1"3�101 ��� %$ '� � 1 $ P#P � : � � 1 5 � �(� 5& � �i 5 /'/ � $ � 5 � 5 �(� ! sª����<Õ� ÿ u � /03 � 1T!�& $ � ��� ! � 1 5 � /0� 5 1'1 $ ! N 3 5 ���($ 4 � / %$ / $Ò Y 5 � 5 � 3 � 5 � & �D 5 � � $�� &e/�/'3 & � 5 � 1 5 � 5 � 1 5U5 � 5#4 !21 � & � 4�5 � 1"!�10 "!�/ 3e 0! - � � 5 <

C ( ) p

θ

−3

0π/2 π

flussopotenziale

Re < 105

Re > 106

) �(S 3i "! ����<Õ����r³Â�$ 5�& � 5 � 1 5 & � �e 5 /0/ � $ � 5 � 5 ³3 � � � ��� &e $�- � & � � 5 � / � $ � ! � 5 rR%$ � Ó $ � 1 $ 1" "! " 3e/0/ $� $ 1 5 � P � ! � 5«5 " 3e/'/ $ 4 � / #$ / $e<V /'/ 5 4 ! � & $�� ! ¼OS 3e 0! ����<��� � $ 10 5 -i- 5 / 5 � - "!2 5 / �(�iS $�� !2 5 � �?Ó !2101 $� Y 5 / �¨Y !�3 � 5 3e� 5 $& � �e 5 /0/ � $ � 5 � ! S�S�� $ 5 � 5 �=" 3e/0/ $ ! ���XW �;��Y � /'� 5 101 $ ! � N 3 5 �(��$ ! ��� P ���Z%<[ 3 5 /'1 $%$ � � $ '1T! � 5 � 1 $ 65 & $ 4 3i1 $ ! �(� !U10 "! � / � P � $ � 5 & 5 ���($ /'10 "!21 $�� � � � 1 5 &O! � ! � �(� !2 5 !�1"3i -A$�� 5 � 1 $ T �(�N 3 5 /'1 L 3 � 1 � � $Ð !�/ $ : �(� Ó !7101 � : � !Ð& � ¿?3e/ � $ � 5 & � N 3O! � 1 � 176!�& � � $ 1 $ &e! �7" 3i/0/ $ 5 /�1 5 � $ ! ���ML �(� 1 5 � $& 5 ���($ /'10 "!21 $k� � � � 1 5 � /03 � 1T! � $�� 1 $ � � 63 5'& � 5 � 1 5 & 5 �� !�/ $¦� ! � �(� !2 5Ò5 : %$ � 3 � ! � ! S�S�� $ 55 � 5 S�� ! �(� 5 1 � ! : �($ /'1" 0!21 $X� � � � 1 5 � 5 / 5 !¹ � /"! � � 5 � � 63Ð! � 3 �iS $X� !XP $ � ! #$ ��S 0!�& � 5 � 1 5 ! 4�4�5 '/ $& � �e 5 /0/ � $ � 5 �e � � !�& � / 5 �O!� 0!� 5 Ä s ¼OS 3i "! ����<Õ�� u <9�L 5#4 $�� 3eP � $ � 5 %$ ��� � � 3 � 5 $ & �\D 5 � � $�� &e/Z& � 1"3i1'1 ��� Ó 5 � $ � 5 �i� & 5 / � 101 � 4 � 5 � 5 � !�/0/'3 � 1T! � 5 ��� !¼OS 3e 0! ����<Õ� ÿ ��� 3 � 65 � � $ '1"!21 $¹�ML ! � &e! � 5 � 1 $ & 5 �?#$ 5�& � 5 � 1 5 & � 5 / � /�1 5 � P;!^]`_ ��� Ó 3 � P � $ � 5 & �acb7dfehg%ikjmlne?ofj'pme?ofj�qe�r�e?osofjtikjvutwyx?j'gzi@{kd2izikj�{kwy|2wy}~ut�M��e:|fuv��j���l/wA��d�ut�Mwy}�{@j��'j�x�utofjmut{@i@w��~x?wMu���pme?o�ike��Mu�ik{ku�o2�g@wM�?wMj�ofeSut�M�Mu�i@df{kr�j��Me?of�hu�|2e����Mj�gzi@{�u�ikj��Mw�pmw�i@e�pme�|2w�uto�ikeS|2e����MeSw�{k{@e���j'�Mu�{@w�icqu�|2e�����u�gzdf}�e?{@�~x?w�em��|2wMpm}f�Me�g��5�#��o=�'d�e�gzi@jpmj2|2j�gzw�{kw�ehg@x?e;uS|2wMp�wMo�dfwM{@e��Mu7{ke�g@wMgzi@e�of��u7|2e?�M�Mu7}�u�����u7x���e;}fdUqjS��dfwMo�|2w2}�e?{�x�j'{@{ke?{keKdfofj�g@}�ut��w�j7pmu����'w�j'{@e'��{kwMg@}�e�izikju'|�d�o�umx�j�o�g@df}�e?{@�~x�wMe���w�g@x?wMu��fu�}�ut{kwCi�qum|2wy��d�uto�ikwCi�qu�|fw�pmjti@jmwMofwM�?w�ut�Me��

���� �������%������������ ¢¡���£�¤R¥¦¡���§¨�ª©���©«�ª¬­�«®��¯��°�¥±¥±²���®��ª�Z�%��§³©«�ª¬��

S S

a) b)�S���\�/�c� \ \¡� 2¢U£�¤A¥�¦/§'¨O��©/�Bª�¥��«���^¬~��­®­�§=©/�¯�/°±¥���­®��°/©/�h²^³U�®©/��¨§'°/ªh��²\°#��­�§�£�´�µ=¶#�/ª�ªh²·­«��¨·�®°/���h§~¸¯¹?µ¶#�/ª�ªh²�ºc�/��³;²�­®§�°»ºh²/¡

¼S½�¾\¿/ÀhÁFÂ\Â\Ã�Â�Ä/Å�Æ�ÇyÈ'É·Ê�½�È�Ë»ÌcÈÎÍ/½BÀ�È�Ïh½�Ï�ÌhÈ�Ë/Ð�Á·ÑÒÈ�Àv¿/˱Ê�½�Ó®½®ËUÍ/ÀhÇ�ÔU½®Í/½�ÕÈ'Ë/Ïh½�Ç\Ë#Á�Ó�È�ÃÖ�×\Ã:Øv½®Ê�Ç�ÀhÍ/½®Á�ÕÇÙÊ�Ú/È�½�Ó�Ê'ÇAÈ�ÉÊ'½®È'Ë�ÌhÈ�ÍU½BÀhÈ�Ï�½®Ï?ÌcÈ�ËUÐ�Á±ÛÈsÍUÈ'Ü#Ë/½�ÌcÇ�Ê�Ç�ÕÈ

Ý`Þàß á�âãUäæå�ç è Â\Â�Ã�Âfé�êÍ/Ç2ë\È â ÛÈν®Ó�Õ·ÇyÍ/¿/Ó®Ç^ÍUÈ�Ó®Ó®ÁÙì%Ç\ÀhÐ�Á^Í/½BÀhÈ'Ïh½®Ï?ÌcÈ'Ë/Ð�Á�È�Í ç ÛÈÎÓ«Á�Ï�¿/Ñ;È'À�Ü#Ê'½®È�ì%ÀhÇ�Ë�ÌcÁ�Ó®È�ÍUÈ�ÓBÊ�½�Ó®½�Ë/Í/ÀhÇUÃíæÈ'ÓRÑ/À�½®Õ·Ç±ÌhÀcÁ~Ì�ÌcÇ/îïÑÒÈ�À�Ö�×�ðñÂÏh½�Ú#Áò½®Ó�Ê'ÇAÈ�É·Ê�½®È'Ë»ÌcÈFÍ/½�ÀhÈ'Ïh½�Ï�ÌcÈ'Ë/Ð�ÁóÊ�Ú/ÈFÍ/½�Õ½�Ëy¿U½®ÏhÊ'È�Ê�Ç\Õ·ÈÖ�×~ô#õ è Ý`Þàö Â2÷~øúù�Ö�×fêRÈ�û�¿/½®ËUÍ/½¯Ó«Á�À�È�Ï�½®Ï�ÌhÈ�Ë/Ð�Á â Ê'ÀhÈ'ÏhÊ�ÈÎÓ�½®Ë/È�Á�ÀhÕ·È�Ë»ÌcÈüÊ�Ç\Ë�Ó«Ásë\È�Ó�ÇAÊ'½�Ì�ÛÁUÃ:ý=¿/È�Ï?ÌcÇÊ�Ç�ÕÑÒÇ\À�ÌcÁ�Õ·È�Ë»ÌcÇ�ÛÈvÌc½®ÑU½®Ê�ÇÎÍ/½KÌc¿AÌhÌc½K½#þ#¿/Ï�Ïh½;ÁsË�¿/Õ·È�À�½;ÍU½;ØvÈ'ÿyË/Ç�Ó®Í/Ï�È�Ï?ÌcÀhÈ'ÕOÁ~ÕÈ'Ë�ÌhÈüÔ#Á~ÏhÏh½KÈæÍ/È�À�½�ë~ÁÍ#Á�Ó�Ñ;Ç�ÌhÈ�ÀmÌhÀcÁ�Ï�Ê�¿/ÀhÁ�ÀhÈ�½¯ÌhÈ�ÀhÕ·½®ËU½�½®ËUÈ�ÀhÐ'½«Á�Ó�½;ËUÈ�Ó®Ó�È=È�û�¿#Á~Ð�½®Ç�Ë/½¯Í/½úíæÁ2ëy½�È�À����yÌcÇ��~È�Ï��Ò½�Ë û�¿/È�Ï?ÌcÇ·ÀhÈ�¾�½®Õ·Èè À�È�¾\½�ÕÈÙÍ/½��yÌcÇ��È�ÏcêsÏ�½�Ú#Á±û�¿/½�Ë/Í/½�¿/ËàÏhÈ'ÕÑUÓ®½®Ê'È�Ô/½®Ó®Á�Ë/Ê�½®Á�Õ·È�Ë»ÌcÇOÌhÀcÁFì%Ç\À�Ð�È·Í/½�Ñ/ÀhÈ'ÏhÏ�½®Ç\Ë/È·È^ì%Ç\ÀhÐ'Èëy½®Ï�Ê�Ç\Ï�È�È�Ó«Á`À�È�Ïh½�Ï�ÌhÈ�Ë/Ð�Á�ÛÈ:¾\È�ËUÈ�ÀcÁ�Ì�ÁvÇ\Ó�ÌhÀhÈ�Ê�Ú/È�Í#Á�Ó�Ó®È�Á�Ð'½®Ç\ËU½\Ì�Á�Ë/¾�È�Ë/Ð'½«Á�Ó�½\Á�Ë/Ê�ÚUÈRÍ#Á~Ó®Ó«ÁmÍUÈ'ì%Ç\À�ÕOÁ�Ð'½®Ç\ËUÈÍ/È'Ó�þ#¿U½®Í/Ç!½®Ë»ÌcÇ\À�Ë/Ç-Á~Ó�Ê'Ç\ÀhÑÒÇ è Ê�Ú/ÈòÑÒÈ�ÀÔ#Á�ÏhÏ�½=Ö�×�Ë/Ç�ËHÛÈòÑ/½cÛ¿ Ó�½®Õ·½�Ì�Á�ÌcÇ�Á�Í ¿/Ë/Ç-Ï?ÌcÀcÁ�ÌcÇ Ï�Ç�ÌhÌh½®Ó�ÈÁ�Í/½®Á�Ê�È'Ë»ÌcÈÎÁ�Ó�Ó«Á�Ïh¿UÑ;È'À�Ü#Ê'½®ÈÎÏ�ÌhÈ�ÏhÏhÁ»ê�Ã�ÁF¿/ËàÑ/¿/Ë»ÌcDZÍ/½Sëy½®Ï?Ì�Á ÌcÈ'Ç\Àh½�Ê�Ç û�¿/È�Ï?ÌcÇóÊ�Ç\Õ·Ñ;Ç�À�Ì�Á~ÕÈ'Ë�ÌhÇFÑ/¿7ÛDZÈ�Ï�ÏhÈ'ÀhÈ�ìzÁ�Ê�½�Ó®Õ·È�Ë»ÌcÈ�Ê'Ç\Õ·Ñ/ÀhÈ'ÏhÇÀh½�Ê�Ç\À�ÀhÈ'Ë/Í/Ç Á�Ó�Ó���Á�Ë#Á�Ó�½®Ï�½BÍ/½®Õ·È�Ë/Ï�½®Ç\Ë/Á�Ó®È~Ã� 7È'ÀÎë�È�Ó�ÇAÊ'½�Ì~ÛÁÍ/È�ÓSþ/¿/ÏhÏ�DZÈ'Ï�ÌhÀhÈ�ÕÁ�Õ·È�Ë»ÌcÈ^À�½®Í/Ç~ÌhÌcÈ~î�½�ËUìzÁ~ÌhÌh½kîË/Ç\˱ÏhÇ�ӮǷ¾\Ó®½¯È���È�ÌhÌh½7Í/È'Ó®Ó®Á�Ê'Ç\Õ·Ñ/Àh½�Õ½�Ô/½®Ó�½�Ì~ÛÁ�ÕÁÁ~Ë/Ê�Ú/ÈÙû�¿/È'Ó®Ó�½B½®Ë/È'ÀhÐ�½®Á�Ó®½;ÏhÇ\ËUÇO½®ËU½®ËUþ#¿UÈ�Ë»Ìc½BÈsÑ;È'ÀæÓ®Á

���� %$ ¦¡���£­¤R¥¦�«¥�£���©«�ª¬���®��¯��°­¥ ���{

) �(S 3e 0! ����<Õ��w�r�Â�$ 5'& � 5 � 1 5 & � 5 / � /'1 5 � P%!�� 5 �3 � !�/ Ó 5 "! < 5 / � /�1 5 � P;!��^& 5 �� � � �(� &e $ / � �i3³6$ � $ ' 5 � þ m s [ q � q�� u < » � 1 5 $ 5 � !�& ��Q 3 �6 �(�iS�Y ! � � & � 5 Y 5�N 3 5 /'1"!� 5 � !2P � $ � 5 & 5#4�5X5 /0/ 5 5 S $ 4�5 � !71T!�&O!�3 � / $��($ �O!2 "! � 5 10 $ !�& � � 5 � / � $ � ! � 5 : $ /0/ � !�

� � [ þ ] q$ : �(� 1 5 � �(�i� & � #$ 5�& � 5 � 1 5 & � 5 / � /�1 5 � P;!]`_ :]`_ þ�

ý� a [ � * þ� ] � � [a [ � * þ

������ q sª����<Õ�� u5 /0/ 5 � & $ * þ V � � sH%$ � V #$ /'1"! � 1 5 & � � 5 � & 5 � 1 5 &e! � �O!2 '1 � %$�� !� 5 %$ '� $ u 5 � þ ] � V r N 3 5 /'1"! 5 � !�P � $ � 5 � /'� 5 101T! �CL ! � &O! � 5 � 1 $ 10 $ 4 !21 $ � 5 � �e � � $ 10 "!21'1 $ & 5 ��� ! 3e 4 ! �(�«¼OS 3i "! ����<Õ� ÿ < Q�� / $ S�� !� $ 1T!2 5 Y 5 � � 4 ! ��$ 5 /0� 5 ��¼ #$ & � � & � � 5 � & 5 &O! �­#$ 0� $.%$ � / � & 5 0!21 $±s � 5 5 / 5 � � � $ � 5 Ð3 � � � �(� &i $ / ��Y !�]`_�� ��2tE� ����5�N 3 ��� & � � � �2t � 5 � 1" 5 � 5 �3 � !À/ Ó 5 "!æ � /03 � 1T! ]`_ þ �

ÿ� ���$ /0/ � ! � þ �� u ! ��#$ � 1" "!2 � $­�ML ! � &O! � 5 � 1 $ ]`_�� ��� ��� 65 !� 0!2101 5 � /'1 � %$ & � 1"3i1'1 ��� " 3i/0/ � ! � 3 � 5 �& �BD 5 � � $�� &e/ � ��� $ � $ 3 S 3O! � � ! ���ML 3 �e� 176! s%" 3e/0/ � & � K 1 $\6 5 / u <( $ � ! � & $ ! �(� ! ¼eS 3e "! ����<Õ� ÿ : 3 � / 5 %$ � & $ 1" "!7101 $ �(� 1 5 5 /0/"! � 1 5 65ÐN 3 5 �(��$ �(� 3 ��� � � 3 � 5 $& �`D 5 � � $�� &e/�65 %$ � �e 5 / $ 10 "! ��ÖA�;� Ä 5 ��ÖÍ���Z & $ 4�5 � � ]`_ 65 #$ /'1"! � 1 5�5�4 ! � 5 � ! ���z��< » �N 3 5 /'1 $ 10 "!21'1 $ � Ó 5 � $ � 5 �e� & � / 5 �O!� 0!�P � $ � 5 / $ � $À$ � ! � #$ � � � 5 1 � 5 � !� 5 / � /�1 5 � P;!�& � �e 5 /0/ � $ � 5&³6! � �A%$ � 10 � - 3i1 $ & $ � �(� ! � 1 5 ! �(� !¹ 5 / � /�1 5 � P;!�1 $ 1T! � 5 T #$ � / � /'1 5 � 1 5 � 5 � 1 5 � � ]`_. � � ! � 5 %$ /�1T! � 1 5! � Y 5 / 5 #$ � �CL !�3 � 5 � 1"!� 5 & 5 � � 3 � 5 $ & �;D 5 � � $�� &e/þ!�3 � 5 � 1"! � $ S � � / ÓH$ 0P � 4 � / %$ / � ! �(� !��e!� 5 1 5 <» � - !�/ 5 ! �(� !�& 5 ¼O�e� P � $ � 5 s�����<��w u 3 � #$ 5�& � 5 � 1 5 & � 5 / � /�1 5 � P;! %$ /'1T! � 1 5 � � � � � !�3 � !« 5 / � /'1 5 � P%! Y 5 5 / 5 %$ � [ � 5¹N 3 ��� & � � $�� 1 $ � � 63æ 0!�� � &O! � 5 � 1 5 Y 5 � 5 �Z !�/ $ �e 5 5 & 5 � 1 5 <

����� �������%������������ ¢¡���£�¤R¥¦¡���§¨�ª©���©«�ª¬­�«®��¯��°�¥±¥±²���®��ª�Z�%��§³©«�ª¬��� 5 w�Ö��;��ZvN ��� Nà���Y / � 4�5 ��¼ !�3 � ! - '3e/ !�& � � �(� 3eP � $ � 5 & 5 �R%$ 5'& � 5 � 1 5 & � 5 / � /�1 5 � P;!& $ 4 3i1 $ ! �(� !�10 "! � / � P � $ � 5 &O!� 5 S�� � 5 � ! � ��� !� 5 !�1"3e -8$�� 5 � 1 $ �e 5 5 & 5 � 1 5 � 5 � 1 5 & � / 3i/0/"! <�� ! � 5� !�� 5 � !U& �8� $ 1T!� 5 Y 5 &i3e "! � 1 5 � !�1" 0! � / � P � $ � 5 / �AY !U3 � ! %$ /È6 � - '3e/ !�& � � �(� 3eP � $ � 5 & 5 � ]`_ Y 5� 5 0/ �(� $À� !� 5 / � /'1 5 � P;!�� & � � ��� 3 � / 5 � � 5#4�5 � 5 � 1 5 <�� 5 ���óW ���Y 1"3i1'1T! 4 � ! : � ��#$ 5�& � 5 � 1 5 & � 5 / � /'1 5 � P;!�/ � !2101 5 /'1"! � 3 $ 4 ! � 5 � 1 5 !2&�3 � 4 ! ��$ 5 %$ /'1T! � 1 5 s ]`_�� �i�v� u 5 � !� 5 / � /�1 5 � P;!Ð � #$ � Ô�(� � !�! 5 / 5 5 #$ � 5 [ � <X� 3e �1" $ �e� $ : !��O!� �1 5 � $� Ye� /'/ � � 5U5 % 5 P � $ �e� : 1"3i1'1 5 � 5 !��e� � � !�P � $ �e��e 0!21 � Y 5 / � 1" $ 4 ! � $ ��� N 3 5 /�1T! %$ � & � P � $ � 5 Y 5 � � � � � !�3 � 5 � 5#4 !21 $ & � /0� 5 � & � $ & � 5 � 5 S�� !�� 5 � ! � 1 5 � 5 5 ��$ /'1T!71 $ & � � $ 1 $e<� 5 ��" 3e/'/ $ �(� 1 $ � $ !�&�3 � � � ��� &e $ / � �e3³6$ !2¿ 5 � !� 5 Y 5 � ! ÓH$ 0P;!�& � 5 / � /�1 5 � P;!À65 S 5 � 5 "!71T!5 /'/ 5 � P � ! � � 5 � 1 5 &O! ��� !.& � /'10 � - 3eP � $ � 5 & � �e 5 /0/ � $ � 5 /03 �X#$ 0� $ !9/03e! 4 $�� 1T!c& 5 1 5 � ��� !21"!¢&O! �Ó 5 � $ � 5 �e� & � / 5 �e!� "!�P � $ � 5 & 5 ���($ /'10 "!21 $U� � � � 1 5 <� 3 5 /'1T! !� 0!2101 5 � /'1 � !�65 #$ � 3 � 5 !X1"3�101 �A� " 3e/0/ ��(� 1 $ � $ ! %$ 0� � 1 $ P%P �Z�(� 3 � / �ZS 5 � 5 0! � $ �(� 1 5 � / �ES 0!�& � 5 � 1 � / Ó ! 4 $ 5¯4 $�� � & � �e 5 /0/ � $ � 5 <» �?#$ � � $ �1T! � 5 � 1 $ & 5 �R � � �(� &e $U- � & � � 5 � / � $ � ! � 5 65 !� "!21'1 5 � /�1 � %$ & � 1"3i1'1 �?� %$ '� � 1 $ P%P � � 5 ! �� 3 �e� & 5 � N 3e! � � 4�5 �eS $ � $ � � $ '1T!71 �O�(� 1T! - 5 �(� !�! �� 3 �i� #$ 5�& � 5 � 1 � & � 5 / � /�1 5 � P;!U� 5 � �#" 3e/'/ $ ��� 5 S�� � 5 & � 103e -A$�� 5 � P%!�/ 4 � � 3i�e�O!21"! s ¼OS 3i 5 ����<Õ�� 4 ����<��;� u <K 5 3 � #$ 0� $ : ! �E%$ � 10 "!� � $ : 65 !2¿83e/ $�� !21 $ �ZS 0!�& � 5 � 1 � & � �e 5 /0/ � $ � 5 /"!2 "! �e� $ � � 63�& 5 -8$�� � 5 & �Ó 5 � $ � 5 �e� & � / 5 �O!2 "!�P � $ � 5 � $ /'/ $ � $ 5 /'/ 5 5 S 5 � 5 "! � � 5 � 1 5�5#4 � 1"!21 � <! � 1 � � � #$ 5 / 5 � � � $ & � #$ 0� $!2¿83e/ $�� !21 $ 65 � � �e $ ¼ �($ ! � !� 5 ��� 3 � � !Ò 5 / � /'1 5 � P;!965�N 3O!�/ � 1 $ 1"! � � 5 � 1 5 S 5 � 5 "!71T!~&O! S � � / ÓH$ 0P �4 � / %$ / � T � 5 ÓH$ 'P 5 �i $ & $ 101 5 &e! N 3 5 /�1 � 3 � 1 � � � : 1"3i1'1T! 4 � !�/ $ � $ & � 5 � 1 � 176!�� � 63 � $ & 5 /'1"!� � /0� 5 101 $! ��� 5 ÓH$ 0P 5 & � �e 5 /0/ � $ � 5�5 : � 5 Ó !� 5 3 � 5 / 5 � � � $ : � � �e $ ¼ �($ ����¼OS 3e 0! %$ � & � � 5 � / � $ � 5 10 "!�/ 4�5 0/"! � 5�� � Y ! �($ /�1 5 /'/ $�%$ 5'& � 5 � 1 5 & � 5 / � /'1 5 � P;!�& � 3 � � � ��� &e $U � %$�� !� 5 & � & � ! � 5 1" $ � <9 !�& � /'10 � - 3eP � $ � 5 & � �e 5 /0/ � $ �e� /'3U3 � #$ 0� $ : %$ � 3 � N 3 5 : � $ �XS 5 � 5 "!�/ $���$�ÓH$ 'P 5 & � 5 / � /�1 5 � P;!� !Ò! � Y 5 3 � ! ÓH$ 0P;! $ �1 $ S $ � ! � 5 ! ��� !�& � 5 P � $ � 5 & 5 �(� ! %$ ' 5 � 1 5 & 5 101"!~� $ �1T! � P;!#" < 3 5 /�1T!ÓH$ 'P;! 4 � 5 � 5 �e $ & $ 101T! N 3O! � & $Ò� !æ& � /'1" � - 3iP � $ � 5 & � �e 5 /0/ � $ � 5 /03 ��� !æ/03e� 5 ¼ � 5 & 5 ��%$ '� $ � $ �Y !c/ � ��� 5 10 � !. � /'� 5 101 $ !2&*3 � � � ! � $9$ � P%P $ � 1T! � 5~5 �i3³6$ 5 /0/ 5 5½N 3 �(� & � �i $ & $ 101"!c&O! #$ 0� �!�/ � ��� 5 1" � � $ �i�e3e 5 &O! %$ 0� � / � ��� 5 10 � � & � /'� $ /�1 � !�/ � ��� 5 10 � ! � 5 � 1 5 � /0� 5 1'1 $ ! �(� !�& � 5 P � $ � 5& 5 �(� ! %$ ' 5 � 1 5 <:3 � ! �($ S ! � 5 � 1 5 ! ��� !� 5 / � /�1 5 � P;!�! � Y 5 � 5 � !U� $ '1"! � P%!�/ � �e3¨6$ & 5 ¼O�i� 5 3 � /'3 $%$ 5'& � 5 � 1 5

$�% þ� "a [ � * q� 5 � � N 3e! � 5 � $ /0/ $ � $ 5 /'/ 5 5 !��i� � � !21 � 1"3�101 �?� � /'3 � 1"!21 � & 5 ��� !�/ � � � � � 1"3e& �(� 5 & �(� ! � � ! <6G ��� 1"3 � 1 � 4 $ � ��� ! S��(� !� 5 Y 5 & 5 101 $�&*�ML ! �eS $���$ & �ï�(� � & 5 � P;!Ò& � 3 � �e $ ¼ �($ � /'� 5 101 $ ! �(� !%$ 0 5 � 1 5 : ! �þ 5 / 5 5 & � & 5 / 5 �6! � �ï%$ 5'& � 5 � 1 5 & � � $ �1T! � P%!#$�% s �(� N 3O! � 1 $ !�3 � 5 � 1"! � !& � /0/ � ��� 5 10 � !�& 5 ��� 5 �e 5 /0/ � $ �e� 10 "! � 5 /'3e� 5 ¼ � /03e� 5 � $ 5�5 & �(� Ó 5 � $ 5 u � !À!�3 � 5 � 1 5 76!�! � Y 5� ��#$ 5�& � 5 � 1 5 & � 5 / � /�1 5 � P;!'$�_ s � 5 YRQ5 !�3 � 5 � 1"! � !À/03e� 5 ¼ � 5 Ó $ � 1"! � 5 � 5 �(� !�& � 5 P � $ � 5 $ Ô1 $ S $ � ! � 5 ! �7" 3e/0/ $ u <�� 5 � �e $ ¼ � � ! � !� � 65 3e/03O! � 5 � � $ '1T!2 5 ��� 3 � 3 �e� #$ S "! ¼ %$ � #$ 5�& � 5 � 1 �& � 5 / � /'1 5 � P%! 5 & � � $ '1T! � P;!�� $ � 5 � & $��CL ! �iS $��($ & �Z�(� � & 5 � P;! %$ � 5 �O!� 0! � 5 1" $e<�9�L ! � &e! � 5 � 1 $& �¨¼OS 3e 0! ����<z��� 65 !2 "!21'1 5 � /�1 � #$ & 5 � �e $ ¼ � � ! � !� � 5 : � � 63 �(�~S 5 � 5 0! � 5 : & 5 � %$ '� � !2¿83e/ $�� !21 � < » ��O!� �1 � %$�� !� 5 / � $ /'/ 5 4 ! Y 5 ! �A 5 / 5 5 & � & � $ � / �?Y !X3 � !�3 � 5 � 1 $ �(� & 5 ¼O�e� 1 $ & 5 � $�% � !X& $ � $3 � ! 4 ! �($ 5 � � � � 1 5 & 5 ���ML ! �eS $��($ & �¨�(� � & 5 � P;!�/ �¨Y !Ð3 � $����($ � � �e $ 4G4 � / $ & 5 � $(% 5 &Ò3 � - 03e/ %$!�3 � 5 � 1 $ & 5 � $'_ <þ � 6$ / � 4�5 ��¼ ! N 3O! � & $ / �EY ! � � & � /'1"! %#$ & 5 �(��$ /'1" 0!21 $�� � � � 1 5 &O! �Z%$ 0� $� Y 5 :�(� �e "!71 � ! : / � %$ � � $ '1"! #$ � 5 3 � %$ 0� $ 1 $ P#P $e<� 3 5 /'1"! %$ � & � P � $ � 5 65 & 5 101T!�& � /�1T! ���($ 5 &h65

���� %$ ¦¡���£­¤R¥¦�«¥�£���©«�ª¬���®��¯��°­¥ ������O!� '1 � #$�� !� � 5 � 1 5 ��� & 5 / � & 5 "!71T! � 5 � 4�5 � � 4 $�� �8�(� N 3O! � 1 $ 4 � 5 � 5 - 03e/ ! � 5 � 1 5 ! � ! � !2 5 � ! ÓH$ 0P%!& � / $ /'1 5 � 1T! � 5 � 1 $ ! Ó $ � 1 5 & � 3 � ÓH$ �1 5 !�3 � 5 � 1 $ & � 5 / � /�1 5 � P;! <

´ = ´�µ·¶X¸º � !Ð/ Ó 5 "!�& L ! % � ! � $ & � & � ! � 5 1" $ � �e 5 � � � 1T! ��� ! N 3O!�! ��� ! 4�5 �($� � 176! [ <«Â�$ � N 3O! � 54�5 ��$� � 126!*)v�e 5 � � � 1 5 5 -e- 5 LO� !�/�1 5 /0/"!�/ Ó 5 "! � ��� 5 0/"! � 5 � � 5 3e � $,+a,-/. þ �������10 S � � � a32/4 þ ��������10 S � � ��

þ�w� � [

þw��z����w � y /=?>A@CBEDGFH>8IEJ) ! �R- � � ! � � $ 10 "!�/0� ��� 1T!�& � 3 Ye� � 5 & 5¹5 ÓH$ 'P;!�� 5 / $ �(� ! N 3O!�/ �ZY !

ÿ � t � �� s a356. } a,798;: u b þ�� a,798;: [ � t � �

ÿ]`_ q þ < ]`_ þ

�i�ÿ�

) !�3 � !� 5 � !�P � $ � 5 ! � ! �($ S !�� 5 � � � 5 3e � $[þ } =>>? ÿ

� b s a356. } a,7@4 u� a,7@4�]`_ þ } ��� ÿ�ÿ � � � / qsH� !Ò/ Ó 5 "!~/ � � 3 $ 4�5æ4�5 0/ $¾�CL ! � 1 $ u < » � 3 � 5 � & �vD 5 � � $�� &e/�/ $ � $ ��� 5 � 1" 0! � - ��� !�/ �W ��Öx���Z 5 & � � ]`_h65 !��e�e $ /0/ � � !21 � 4 ! � 5 � 1 5 ��� & � � 5 � & 5 � 1 5 &e! � D 5 � � $�� &i/ <

����� �������%������������ ¢¡���£�¤R¥¦¡���§¨�ª©���©«�ª¬­�«®��¯��°�¥±¥±²���®��ª�Z�%��§³©«�ª¬��´ = ´�µ·¶¹¸�º

� ! 4�5 101"3i "!¦�i $� 5 & 5 �(� !�3i1 $ /'10 "!�&e!k! ��� ! 4�5 �($� � 126! [ ý � � � � 5 S ! � & $ 3 � !¦� $ 1 5 � P;!Aý%$ � 3 � #$ � /'3 � $ & � !2 - 3e 0! � 1 5 m $ ý < 3 /0/03 � 5 � & $ 10 "!�/ 3e 0! - � � � 1"3�101 � � Ó !21'1 $ �1" 0! �e� 5¹N 3 5 ��� � ! 5 $ & �(� ! � � � 5 Y 5 � �E#$ � /03 � $ & � !� - 3e "! � 1 5U4 !� ��� � ��� 5 !� � 5 � 1 5 %$ �� !æ� $ 1 5 � P;! : N 3O! � 5 /0!� 76! � ��#$ � /'3 � $ & � !� - 3e 0! � 1 5 ! �(� ! 4�5 ��$� � 176! [ � + K 5 � � � $ 1 $ 5�e3³6$ 5 $ S !� 5 3 � !­� $ 1 5 � P;! � !�/'/ � � ! A@BDCFE : N 3O! � 5 65 � ! 4�5 �($� � 126! � !�/'/ � � !� "! S�S�� 3 �eS�� - � � 5&O! ���ML !�3i1 $ � $�- � � 5 +A@BDCFE

þ{i�zw A

ý m $ ý6þ;ÿ � ÿ ��� y Y[ý¡þ

��w10 � y Y [ � þ ����G0 � y Y=R>A@ÅB¨DGFH>AI¨JK 5 � ! 4�5 1'1"3e 0!`�e $� 5 & 5 ! 4�5 �($� � 176! %$ /'1T! � 1 5 : � !k/0� ��� 1T!±& 5 � � $ 1 $ 5 - � � ! � 5 �6! � ! 5 / � /�1 5 � P;!¢! 5 $ & �(� ! � � ! s ! -e- � ! � $ /'3e�e� $ /'1 $ 103i101 �«S � � ! � 1" � Ó !2101 $ � 1" "!2/ 3i "! - � � � u/ � ! 4 76! N 3 �(� & � � 5 � ! 5 / � /'1 5 � P;!H� 5 � ! � $ 1 5 � P;! A : � /'� 5 101 � 4 ! � 5 � 1 5 : � þý� a [ � *I$�_ q Aþ � [ þ ý� a [ � *!$'_ ��3 4�5 � & $ !�/0/'3 � 1 $ � �³%$ � /03 � $ & � !� - 3i "! � 1 5� ��� 5 !� � 5 � 1 5 & � � 5 � & 5 � 1 5 &O! ��� !�� $ 1 5 � P;!�/ � �e3³6$ � $ ' 5 m $ þ V Ö A : 5 /0/ 5 � & $ V 3 � !%$ /�1T! � 1 5 <� 1 � � � P%P;! � & $ 103i101 5 � 5 5 � !�P � $ �e� �e 5 5 & 5 � 1 � � 5 � 5Ð4�5 �($� � 126! [ ý 5 & [ � 5 &$ /0/ 5 4 ! � & $� Y 5 : ��� 5 S�� � 5 1"3e -8$�� 5 � 1 $ � �Í#$ 5�& � 5 � 1 5 & � 5 / � /'1 5 � P;!X& � 4�5 � 1T! ��� & � � 5 ��Ô& 5 � 1 5 &e! � D 5 � � $�� &e/�/ � $ 101 � 5 � 5 r A ýxþ ý� a [ �ý *!$�_ q A � þ ý� a [ �� *!$'_ þ

AýJLK8JLKM q 5m $ ý�þ V Ö A

ý q m $ � þ V Ö A � þ m $ ýN 8N M þ m $ ý

JLK8JLKM þ�����z{����ç� Y ��� 5 � ! 4�5 �($� � 126!

� !2/0/ � � ! ���i¼O� 5AOBPC�Eþ�� a [ �BPC�E *!$'_ þ A

ý[ �BPC�E[ �ý þ <

[@BPC�Eþ[ýQ A@BDC�EA

ýR MK

þ�w�{10 � � Y �$ 0P%!�! S�S�� 3 � 1 � 4 ! 4�5 0/ $ � �?- !�/'/ $ /"!� �6!TSOU þ } w����i�z����� � <

���� %$ ¦¡���£­¤R¥¦�«¥�£���©«�ª¬���®��¯��°­¥ �����´ = ´�µ·¶X¸º

� %$ '� $ Y !�3 � ! � &e! � 5 � 1 $ & 5 ��%$ 5'& � 5 � 1 5 & � 5 / � /'1 5 � P%! #$ ��� � � 3 � 5 $ & �»D 5 � � $�� &e/#$ � 5 � � $ '1"!21 $ ���À¼eS 3e "! < » �E%$ '� $ Y !�3 � !�& � � 5 � / � $ � 5 !� 0!2101 5 � /'1 � !1" 5 : N 3O! � & $4 � 5 � 5 �(� 4�5 /'1 � 1 $ &O!X3 � ! %$ ' 5 � 1 5 ! 4�5 ��$� � 126! [ ý : ÓH$ �e� / 5 3 � 4 ! ��$ 5 & � 5 / � /'1 5 � P;!V� ý <K !�� 5 � & $� Y 5 � �#" 3 � & $ Y ! 4 � / #$ / � 126!XW : ! �(%$�� !� 5 � � 4 ! �($ 5 & 5 �(� !¹ 5 / � /'1 5 � P%! N 3e! � & $�� !4�5 ��$� � 126!�& 5 �¯" 3 � & $ 65 [ � <DCY

5 6 7

0.2

0.4

0.6

0.8

1.0

1.2

Re

10 10 10 104

" þ�i�z��w � [

ý¡þ� � y /� ýiþ

���v�xw � W þ���Ëw«Ö���G× Z � � � /[ � þ {�� � y /

=?>A@CBEDGFH>8IEJ� $ 1 � [ ý : " 5 Wk/ � � ! 4 ! ��� ýæþ w2������� � 5 3 � &e! � S 0! ¼ #$ / ��Y !Z$'_ ýæþ ���z� 5&e! �(�CL 5 /0�e 5 /0/ � $ � 5 � ýþ a [ �ý *!$'_ ý ��� / � � ! 4 !�ay* þ �i�z��w10 S y � < ) ! � 4 ! ��$ 5 & � [ � / � ! �(#$�� ! N 3 ��� & � ��� � þ ���zw�Öe���Y 5 &e! � S "! ¼ %$ $�_ � þ ���z�xw�< » � 4 ! �($ 5 & � � � � /'3 � 1"!N 3 ��� & � � � þ a [ �� *I$�_ � ��� þ ��wÿ�v�x��w � <

���ÿ

�������%������������ ¢¡���£�¤R¥¦¡���§¨�ª©���©«�ª¬­�«®��¯��°�¥±¥±²���®��ª�Z�%��§³©«�ª¬��´ = ´�µ·¶¹¸�º9 ! ÓH$ � !�P � $ � 5 & 5 � Ye� # Ye� & �8S 0! � & ��� 5 65 & $ 4 3i1T!U! %$ 0 5 � 1 � !�/ 5 � / � $ � ! � � ! �(�CL ��� 1 5 � $& 5 ��� 5 � 3 - � Y 5 #$ � / 5 � 1 $ � $ � �8%$ � 1 �(� 3 $ ! % 3 � 3 ��$ & �ZS�Ye� ! % � $ �(� 1 $ � $ !2&À3 ��� 3 #� 5 $¼O� $ ! N 3O! � & $ � � � 5 / $ �e $ �e � $ & 5 � / �(�iS $��($� Yi� %#$ & � 4�5 � 1"!�10 $ �e� $ S "! � & 5¹5 !�& 5 ! �/03 $��($e<�� 5 3 � 4�5 � 1 $ !�/ 5 � / � $ � ! � 5 & � ����10 � y Y : N 3O! � 1 $ �e3¨6$ 4 ! � 5 5 � � & � ! � 5 1" $ & �3 � Yi� %#$ & �ÍS 0! � & ��� 5 + ) !� 5 103i101 5 � 5 !2/0/03 � P � $ �e� � 1 5 � 3i1 5 � 5 5 /0/0!� � 5�5 S�� 3e/�1 �Õ¼ !� � 5 <=R>A@ÅB¨DGFH>AI¨J9�L ! � &O! � 5 � 1 $ & 5 ��#$ 5�& � 5 � 1 5 & � 5 / � /'1 5 � P%!±]`_±� 5 �3 � !æ/ Ó 5 "! �(� Ó 3 � P � $ � 5 & 5 � � 3 Ô� 5 $ & ��D 5 � � $�� &i/��e 5 / 5 � 1"!À&e3 5\[ � � !71 5 !23^] r � � �e � � $ ]`_ ý � �i�

ÿ � 5 �;� � N ��� N�«Öx���Z 5 & � � / 5 #$ � & $ ]`_ � � ���Ë� � 5 ����W w«Öx��~Z%<) L ! � 1" 0!Ò�O!� �1 5 : &O! ��- � � ! � � $ 10 "!n 5 / � /�1 5 � P;! : � 5 / $ 5 /'� �(� 1T!n& � 3 Ye� � 5 & 5 : � 5 �3 � Ye� #%$ & �ZS 0! � & ��� 5 /03e�i� $ /�1 $ / Ó 5 � #$ � /'3 � 1"!�� a C[ � *�]`_ þ ÿ � t � � b s a�4 } a C u%$ � a C � !�& 5 � / � 126!Ð& 5 �(�CL !� � ! : a�4 þ {����_0 S � � � � !�& 5 � / � 176!Ð& 5 � S�Ye� ! % � $ * þ t � � 5 &� � � "! S�S�� $ & 5 �(� !�/ Ó 5 "! < ) ! ���ML 5 /0�i 5 /'/ � $ � 5 / $ �e "!�/ � � ! 4 !� þ

� a C[ � ]`_� b s a�4 } a C u Y 5 : � 5 Ù]`_ ý$þ �i�z��ÓH$ �e� / 5Ð� ý�þ ���v�xwæ � � 5 � 1" 5 � 5 s]`_ � þ �i�ÿ � /03 � 1T! � � þ���z�� � <�� 5 �E� 3 � 5 � & �úD 5 � � $�� &e/� � /'3 � 1"! �(� 4�5 5���� ý�þ �

ÿ����� 5X��� � þ ����{�������� !/ 5 %$ � &e!�/ $�� 3eP � $ � 5 : N 3 ��� & � : � � þ�þ ���Ë�� � 65�N 3 5 �(� ! S�� 3e/�1T! <

���� %$ ¦¡���£­¤R¥¦�«¥�£���©«�ª¬���®��¯��°­¥ ����w

) �(S 3e "! ����<����r » �Z%$ 5'& � 5 � 1 5 & � 5 / � /'1 5 � P%!�� 5 %$ 0� � & � 4 !2 � ! ÓH$ � ! <

����� �������%������������ ¢¡���£�¤R¥¦¡���§¨�ª©���©«�ª¬­�«®��¯��°�¥±¥±²���®��ª�Z�%��§³©«�ª¬��

�S���\�/�h�O \ \¡� a`A£!b5­B¥'²A§�c¥'�®§'°�ºh§�©U�¯�h§'ªh�®ª?ºc§'°^d��Ge;§'��¥'²\��eU�¯©/�¯¬~���h�®�Vf%²\�h¨�U¡

���� %$ ¦¡���£­¤R¥¦�«¥�£���©«�ª¬���®��¯��°­¥ �����

) �(S 3e "! ����<����r » �Z%$ 5'& � 5 � 1 5 & � 5 / � /'1 5 � P%!�� 5 %$ 0� � & � 4 !2 � ! ÓH$ � ! <

����� �������%������������ ¢¡���£�¤R¥¦¡���§¨�ª©���©«�ª¬­�«®��¯��°�¥±¥±²���®��ª�Z�%��§³©«�ª¬��d 10d

a) b)) ��S 3e "! ����<Õ�{ir » �³%$ 5'& � 5 � 1 5 & � 5 / � /�1 5 � P;!�� 5 «3 � � � �(� &i $Ð- � & � � 5 � / � $ � ! � 5 & � & � ! � 5 1" $ � 5� 5 �3 � �e $ ¼ �($ ! � !� 5 & � /0� 5 /0/ $ 5 �� � / $ � $� � !�3 S 3O! � � <

a) b)

LL

UU

) ��S 3e "! ����<Ë�2�ir G / 5 � � � & � %$ '� ���(�ÃS 0!�& $ & ��S 5 � 5 "!2 5 � $ �1T! � P;! r Û�> #$ 0� $ !�/ � ��� 5 10 � #$ : 8?>%$ 0� $ / � ��� 5 1" � %$ & � /'� $ /�1 $ !�/ � ��� 5 1" � ! � 5 � 1 5 � 5 �(� ! #$ 0 5 � 1 5 <

2 4 6 8 10 12 14 16 182 4 6 8 10 12 14 16 18

1.4

1.2

1.0

.8

.6

.4

.2

LC

α α

C D

00

.02

.04

.06

.08

.10

.12

.14 1.4

1.2

1.0

.8

.6

.4

.2

LC

.02 .04 .06 .08 .10 .12 .14

b) c)

C D

a)) ��S 3e "! ����<z����r G / 5 � � � & � � $ '1"! � P;! Û�> 5 5 / � /�1 5 � P;! 8?> �(� Ó 3 � P � $ � 5 & 5 �(�ML ! �eS $��($ & ����� � & 5 � P;!� 5 �3 � %$ '� $ !2¿83e/ $�� !21 $ : 5 � $�� !� 5 & 5 � �e $ ¼ �($ ë5> <