Some remarks about Russellian incomplete symbols
Sébastien Gandon
To cite this version:
Sébastien Gandon. Some remarks about Russellian incomplete symbols. Russell: the journal
of the Bertrand Russell Archives, 2007, 27, pp.41-59. <halshs-00331528>
HAL Id: halshs-00331528
https://halshs.archives-ouvertes.fr/halshs-00331528
Submitted on 17 Oct 2008
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W?39^36+65¬-36Mt;,5[:&UZ;,?:&3R?M6;&5&Mt3 < /
u c>i?0/ = 3R?S;&?36\Y/ = 3`+RkhiA-J-36F>FA/V+6Fq»-+R),;[i&/x/ = 3T-31H5M6;jS < F43*/V3
-Zk&S),;jFI-xM6;.iFH:)336+L-1>Fnkb?36M6;.p3R?36:1H58/V+R»&1H5}^b/ = 36S+T-5&+6Sz3[-;,c"-3tM6;,5[:&UZ;&?:&3R?xM9;,5[M63 < /-C
¯ 3Rp3R?0/ = 36F>3L--\:&;5};T// = 1n5}»Ã/ = +/hi--36F4F>14+65:&3.-M9?£1 < /Z1H;&5j-¸+R?3Á-36M6;&5&:&UZ;&?:&3R?ªMR;&5&Mt3 < /-C
Z5[:&3636:&\+#hi--36F>F41>+65z:&3T-JMR?1 < /V1H;&51I-¼+651H5M6;jS < F43*/V3-0kS);jF~\]12C¦3.C&+-1H^j5/ = +*/x:&3T-1®^j5[+*/V3T-x5&;./ = 1H5.^C.
:&;&\ = ;.`3p3R?\8/ = 1H5.»©/ = +*/Sz+R»1n5}^ -2ilM = + < +R?+mF4F43mF)3*/I`b363R5/ = 3.-3 <j= ?+T-3.-+m5[:Ã-J36M6;&5&:&UZ;&?:&3R?
M6;&5&M63 < /-1I-+^;&;j:+R5L/21H:&;./V3+R^+61H5j-2/
/ = 3-2/V+R5&:&+R?:p143*` / = +*/¼/V3R5&:j-#/X;/I?36+/G:&3Rc21n51y/V3D:&3T-MR?1 < /Z1H;&5
3*¤ < ?3T--1H;j5-z+.-S39?3?3T-14:Til3.-C
| = 35[;[/21H;&5Â;&c+65Â1n5Mt;jS < F>3/V3ª-Zk[S);jF1I-\#1H5Â
D\#F~;,^1HM6+6F>FHk±+T36FH+R);&?+*/V36:+T-/ = 35[;[/21H;&5;jc+o-J3tM6;,5[:&UZ;&?:&3R?M9;&5&M63 < /1H5D/ = "
3 !$ #. &% ´ g´Lµ 'R´&C = +*/G1y/G1n5.p,;jFqp3T-1n5
/V3R?ZSz-
;&c-M6; < 381I- = 3R?3+T--; <&= 1I-0/V1>Mt+*/V36:+L-/ = 3R?3.C}e5&:b/ = 38Til3L-0/V1H;,5z;&c-M6; < 3:&36FH1>S1y/+*/21H;&5Mt+m5)3
p39?k1H5T/2?14M6+*/V3 \+L-#/ = 3 < ?;.)F436S ;jcGc2;,?S8ilF4+*/V1n5}^+ <&< ?; < ?Z1H+*/V3-2ij)-2/21y/Ii&/21H;&5?0ilF>3.-1H5/ = 3 < ?36:&14ML+*/V3
FH;&^j14M¬- = ;.`z-Cx| = 3o/ = 3t;,?Zkª;,c/ = 31H5M6;jS < F43*/V3a-ZkS)];,F1H5Â
À1I-b+aFH;&^j14M6+6F
/ = 3t;,?Zk[\Y¥0iw-0/ FH1H»3o/ = 3
/ = 3t;,?0kb;&c]/ = 3M6;&5&M63 < /w1H58W?3R^3&X-A`b;&?Z»C
| = 3 < +R?+6FHF43TF"` = 14M =a= +T-x¥ZiA-2/),36365:.?+*`b5),3*/I`b363R5W?3R^3D+65[:hiw--3mF4F
1I--1n^5&1HcZ14ML+m5L/)36M6+i-J3o1y/
+6FHFH;[`s-+- = 1>c>/1n5/ = 3oc2;&?S8iF4+*/V1H;&5;jc
/ = 3D1H5j1¦/Z14+6F
Ti]3T-2/21H;,5lCA| = 3/ = 1H5&^`3D5&3L36:/V;¬3¤ < FH+61n51I-5&;
FH;j5}^3R? = ;.` hi--J36FHFM6+65:&1I- < 3m5-3¬`1y/ = *il5T`b36F>Mt;,Sz3;.)9¥3LM*/-VL\#).i&/D1¦/D1>-c2?;jS 5&;.` ;&5 = ;.`
hi--3mF4F
Mt+m5)36F>143Rpl3b/ = +*/
/ = 3z:&36c01H51y/V3:3T-M9?£1 < /V1H;&5&\"+T- = 3:36c01H53.-1y/V\"1I-+DSz3R?3o-1H^5:&3 < ?1qp36:;jc
+R5.k Sz36+65&1n5&^C§;.` +R?3±`b3¸/X;3*¤ < FH+61H5Á/ = +*/-;.Sz3*/ = 1H5&^Á` = 1>M = 1I-M = +R?+6M/V3R?1q{L36:·+.-+$Sz3R?3
F>1H5&^.il1I-0/V1HM:&3Rp14M636\Y`1¦/ = ;.i&/G+R5.kFH;,^1HM6+6FxSz36+65&1n5&^\"Mt;TiFH:+*// = 3o-+mSb3b/V1nSz3),3:&36c01H536:)&kFH;&^j14M6+LF
Sz36+65-J
¼3*/JI-#^;)l+6M9»/V;W?3R^3.C = k:&;j3L-#W?3R^3`+65L/
/2;c2;&?£S5[3*` Mt;,5[M63 < /-J
| = 3z3R¤ < +m5-1H;j5;jc/ = 3
14:&36;&^&?+ <&= 14Mb/V3R?VS1H5[;jFH;&^,k1I-5[3636:&36:c2;&?1H5&MR?3t+[-1H5}^/ = 3:&36:TilM/21~p,3 < ;.`39?#;&c/ = 3FH;,^1HML+6F
-Zk-2/V3mSsC
Ww;&?3¤+6S < F436\)&kÂMt;,5L/2?+ < ;-Z1H5.^ ¼+*`Z+;&c#/ = 3 !v #. &% ´ ´mWµ 'R´¹` = +*/ = ;jFH:-c2;&?+6F>FcZ1®?*-2/VU0;&?:&3R?
cIi5[M*/Z1~;,5-D;jcb;,5[3¬+R?Z^.ilS365T/ = ;jFH:j-s+6FI-;$c2;&?D+95.k&6º\+95&:)&k+L--0ilS1H5&^/ = +/E¤1I-D+¬c21H?-0/VUZ;&?:&3?
cIi5[M*/Z1~;,5[\,cI?;S·¹ nº ¤¹0W¤
k[¹0Wk 5k ¤&º E¤&º\&1y/1X- < ;]-J-1~)F43/X;S+R»3/ = 3:&36:TilM*/21H;&5f
∃
∧∀
∧
¹º
¤¹IWY¤
k¹0Wk
kY¤[º
∃ uu∧u∀uuuuuu∧u
E¤[º
c ¤¹ZcI¤&º
Ei&/x1H5D;&?:&3R?"/2;D:.;/ = +*/2\j`b38S8i-2/ < ?Z;.p3v/ = +*/A/ = 38?Z1q^ = /VU = +65&:-14:&3;&cx¹8.º\ ¤,¹XW¤
k¹0Wk©k¤&º
∃
∧∀
= ¤&º\ = +.-r+b?3mc239?365&ML3vu +65&:/ = +*/¼1>-
` = 3R?3v/ = 3-3LM6;&5&:W?39^3T+65DF4+*` Mt;,Sz3T-1H5C';j\c2;&?W?3R^3t\
∧
/ = 33R¤./V3R5-1H;j5-0/V3 < )&k-0/V3 < ;,cA/ = 3s- <j= 3R?3;cA/ = 3FH;j^1HM6+6FA5[+6S3.-V1I-G5&363t:&36:oc2;&?M6+9?Z?Zk&1H5&^;.i./w/ = 3
∃ ∆0
ÒZïJï£ðJñHÇ*ÝÞôjÞ0Ù4÷Zó ã íØdÝÞIØ&í ã äyöd×ö Ø ã í ã ô>ÜIÙ4ö ߨ®öyÚZ×*ô,æAó*ô~Ø.ø ã Ü2ÚZ×9ô>ö¦í ã Ù ã íÞôÞQ_öd×í¼Ú£äJóÞ0ר¦ö¦äqö ã Ù2ÛAôö Ø[ô>ÚÚZ×
õö¦çyç6ø ã Ü0ç ã ÞIÙ ã ÙËÇRÖ&íJÚ×gÚØ
nô óßJßÚZÙqØ9ØyÝJö®ô5gö ã õwÛZò&ê ñHÇ£Ö Ëó*ônØRõ]ÞX×JØØqÚwônØdÙ ã ô>ôTئÝJÞ0Ø®Ç÷öWg ã ×wØyÝ ã õ]Þ0ê%ó9ôIô ã çdçRí ã äqö × ã ômØ¦Ý ã æÇí ã äyöd×ö Ø ã í ã ô>ÜIÙHö ߨ®öyÚZ×*ô.Ü0ÚZóç¦íYÝgÞ8g ã ø ã2ã ×
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Ù4í ã ÙLäyó×gÜXØ®ö¦Ú×*ôXÛ
LâãZã Ç£äqÚZÙ}ö ×gônئÞ0×gÜ ã ÇèLÛZí ã %ÚZógöyç ÝgÞ0×gÇA6£Î4Î2ÌÌ=/¦ÌAOZÌ0ÍO#¦Ì 9gÌXÎgÊTÉJÍ>É:9eS Z ÌXÎ ë ètÞIÙ>ö¦ô0Ð2è` 2 Ç6Ò2ïïÓJñnÇZßß6ÛÒJÒ2ïgðÛ
FH;&^j14M61I-0/ < ?;&^.?+6SSz3u / = +*/w1I-\jc2;&?xM6+R?V?0k&1H5&^z;[i&/l/ = 3#FH;&^j14M6+6Fl:&36:TilM*/V1H;&5;jcw+6F>FSz+*/ = 3mSz+*/V1HMT-xc2?;jS·+
?3T-2/2?Z1HM*/V3t:b5LiS)l3R?x;&cAF~;,^1HM6+6F < ?36S1I--3[-gC
§b;[`b3*p39?\,W?39^3p,3R?Zkz;jc>/V3R5D-+Rkl-/ = +*// = 3:&36c01H5&1y/V1H;j5-¼+R?3FH;&^j1~MT+6FHFnk-2i < 3R?c2Fqil;[i-¼+R5[:b/ = +/Y/ = 3Rkz+R?3
;&5&F~k1H5T/2?;:TilM636:Dc2;&?Sb+*/V3R?1H+6FwM6;,5.pl365&14365&M63}C G| = 14-GMmFË+61nS -3636SD-
/V;M9;,5L/2?+6:.1HM/` = +*/x`b3 = +*p3¥Zi-0/
-+614:+R);.i&// = 3ac>il5&:&+6Sz365T/V+6F#?;jFH3¬;c8/ = 3-3LM6;&5&:¸W?3R^36+65F4+*`¨1H5/ = 3¬FH;&^j14M6+6F#`b;,?Z»1H5.^;&c8/ = 3
14:&36;&^&?+ <&= 14Ma-Zk-2/V36SDCA§;.` Mt;[iFH:a/ = 33*¤ < +m5-1~;j5;&cv/ = 31H:&36;&^&?+ <&= 14Mp;M6+*)}iF4+R?Zk),3a-+614:a/V;a)3
);./ = 3T-J-365T/V1H+6Fl+m5[:?36:Til5&:&+65T//2;8/ = 3vFH;&^1HM61X-2/ < ?;,^&?+*SzS3L
¾ p3651>c/ = 1X-Til3[-2/21H;&51I-¼S;,?3+vSz+*/I/V3R?
c2;&?W?3R^3t+m5·-JM = ;&F>+9?- = 1 < \b`1HF>F < i- = 1y/-3R¤l+mS1H5l+*/21H;&5c>i?0/ = 3R?),36M6+*iw-3+±:&363 < 365&1H5&^·;,c/ = 3
+R5[+mFHk-J1I-A`1HF>F- = 36:-;jS3F>1H^ = /w;&58/ = 3hi--36FnF414+m5z-0/V+65&M63}C
Z5D/ = 3 !e #. &% ´ g´Lµ 'R´m\ ,}\YW?3R^3D-+Rk-#/ = +*/G:&36c21n5&1¦/Z1Ë;,514-/ = 3o1H5T/2?;j:TilM/21H;&5;jcr+5&3*` 5&+6Sz3.C Q +65
`b3+T--14S1HF4+*/V3:&3mcV1n51y/V1H;j5/V;/ = 3FH;&^j14M6+6Fc2;&?£Sz+*/21~;,5Â;&c5&3*` 5&+6Sz3[- :&3.-M9?£1q)l36:¬1H5 !v$ #. &% ´ ´mWµ 'R´m\
, O&P
8G:&;5[;T/A/ = 1H5.»-;C 3S8iw-0/"/V+9»3Mt+R?35&;T/w/2;M6;,5&c2F4+*/V38/2;&;Ti1HMR»FnkM6;&5&Mt3 < /VU0c2;&?£Sb+*/Z1~;,5+65&:
:&36c01H51y/V1H;,5lC| = 3©W?3R^36+65?2iF43T--3LM*i?3$/ = +*/ª+©5&3R`Fqk :&36cZ1H536:-1H^j5 = +.-Â+©?3mcV3R?365[M63.Cz| = iA-\
M6;&5j-14:&3R?3t:¿1H5/ = 36SD-J36F~pl3.-\/ = 3$?2iFH3L-:&;5&;./ = +*pl3©+R5.kL/ = 1H5&^Ã/V; :.;Ã`1¦/ = / = 3 < ?;M636:Ti?3«;,c
:&36c01H51y/V1H;,5[\12C¦3.C]`b1y/ = / = 3D1n5L/2?;:TilM*/21H;&5;jcG+o53` -1H^j5lC 3M6;.ilFH:+ <&< FHk/ = 3-3LM6;&5&:?0ilF43o1H5¹ º
`1y/ = ;[i&/s1H5T/2?V;j:TilM61H5.^/ = 3$-1H^5© ¤¹ = ¤&ºZ/V;©5&+6S3` = +*/s ¤,¹VW¤
k¹0Wk k Y¤[º
EG¤&ºZ
:&3T-1H^5&+*/V3T-gC.Z5z;&?:&3R?A/2;D:};b/ = 38:&36∆:Til0 M/21H;,5z¹ º\,`3Si-0/3T-0/V+*)∃F41I- = / = +*∧/A/ ∀= 3v?1q^ = /VU = +R5[:-1>:&∧3;jc8¹ .º
1I- +-3LM6;&5&:&UZ;&?:&3R?M9;,5[M63 < /u +R5&:/X;a^.il+R?+95T/V363/ = +*/
/ = 1>-1I-/ = 3DM6+.-3t\/ = 3-3LM6;&5&:W?3R^3L+65F4+*`
`1HF>F-0ilc2cZ14M63.C
-0i^&^3L-0// = +*// = 3:.1I-2/Z1H5&M/Z1H;&5),3*/I`3t3m5:&3mc21H5j1¦/Z1H;5©+95&:M6;&5&M63 < /VU2c2;,?S+*/V1H;&5&\8c21q?-0/zS+t:&3¸1H5/ = 3
!#$ #. &% ´ g´Lµ 'R´L\¼M6+65¬5&14M636Fnkª3R¤ < F4+m1H5/ = 33Rp;&Fyi&/V1H;&5¬;&c#W?39^3.2-v/ = ;[i^ = /JCYiSSz3*/I/ 8Mt;,5Lp1n5M61H5&^F>k
+R?Z^.il3L-
/ = +*/V\)36c2;,?3 O \W?3R^3?39^+R?:&36:/ = 3:&36c01H51y/V1H;j5+T-GFH;&^j14ML+6FnFHk3L--J365T/214+6FICjW?;&S ;[i? < ;&1H5T/
;&cp143*`b\j/ = 1X-xW?3R^3L+65-2/V+R5&ML31I-+65D1>SzSz36:,14+*/V3 M6;,5-J36Til3R5M63 ;,cA/ = 3Mt;,5&c>iw-1H;j5DSz+6:&3+/"/ = +*/w/21nSz3
)3/I`36365 :&36c01H51y/V1H;j5 +65&: Mt;,5M63 < /VU0c2;,?S+/21H;,5lC5/ = 3 #´ % g 5vR¶&g µ>p
\ ,/&\c2;&?1H5j-2/V+R5&M63t\o/ = 3
M6;&5&M63 < / = 3R?36:&1y/V+R?1y/2kÂ;&c +acZ1H?-2/VU0;&?:&3R?c>i5M*/21H;&
5 1H5+65 U£-36Til3R5&ML3R1I-1H5T/2?;j:TilM63t:a/ = ?;.i^ = +
-Zk&S),;jF>14M:&3tp14M63#/ = +/x:&3T-1q^5&+/V3T-
1y/JC Â;.?3^3R5[3R?+6FHFnkl\+RFHFj/ = 38:&3t:TilM*/21H;&5-
Sz+6:&3#)&kW?39^381H5 +R?3 < ?3T-3R5T/V3t:b`1y/ = +-M = 36Sz+#/ = +*/^.i1H:&3T-"/ = 3?36+6:&1H5&^D;&cY/ = 38:.1HcZcV3R?365T/ < ?3RS1I--J3T-\+R5[:b/ = +/
- = ;[`z= ;.` / = 3-0i)-2/Z1y/Ii&/21~;,5- = ;.iFH:$),3¸Sz+6:&3.C = 365/ = 3 < ?;&;&cZ-D)3LM6;jSb3¸1H5T/2?1HML+*/V3t\v1y/s1I-+R)-;&Fyi&/V36Fnk
3T-J-365T/V1H+6FA/V; = +*p,3-;jS35[3*`5[+6S3.-/2; < i./r1n5D/ = 3-Zi&)l-0/V1y/Ii&/21H;&5&U < F4+6M63T-;jc/ = 3o-JM = 36Sz+T-gC| = iA-\1H5
/= 3 G´ % 5vR¶&g µ>\8/ = 3$:&36c21H5j1y/V1H;j5- < F4+Rk/ = 3?;jFH3«;,cD/ = 3-0i)-2/Z1y/Ii&/21~;,5?0ilF43T-\z+65&:1y/1I-/ = iwi5&:&39?-0/V+R5[:j+R)F43/ = +/YW]?3R^3r/V+9»3T-Y/ = 36S©/2;b),3vF~;,^&14M6+6F>FHkz3T--3m5L/Z1~+mFËC
Z5D/ = 3 !e #. &% ´ g´LWµ '6´m\Y/ = 3:&1>-2/Z1H5&M/Z1H;&5 = 31n5L/2?;:TilM63T-#),3*/I`3t3m5M6;&5&M63 < /VU0c2;,?S+/Z1H;&5+m5[::&36cZ1H5&1y/V1H;j5
+6FHFH;[`s- = 1HS /V; ?3T-3R?0p,3°/ = 3Ã:&36cZ1H51y/Z1~;,5 c2;,?±+Á?;jF43Ã;&c-J36Mt;,5[:&+R?Zk1HS < ;,?0/V+95&M63.Cs| = 3ÃFH;&^j14M61I-0/
< ?;&^.?+9SSz3+65&:/ = 3¬?36Til1q?3t:°-2ij)-2/21y/Ii&/21H;&5j-Mt+m5)l3:&3tp,36FH; < 3t:¸`1y/ = ;.i&/1H5T/2?;:TilMR1H5.^+m5.k53*`
-1q^5-Au 3*p3651Hc"1y/"14-p,3R?Zk:&1>c2cZ14M*ilFy/"c2;&?x+ = ilS+65S1n5l:v/X;^&?+T- < / = 3`b+Rk/ = 3 < ?; < ;-1y/21H;&5-"Siw-0/)l3
:&36M6;&S < ;-36:8`1¦/ = ;.i&/ = +*p1H5&^z+vS3t+m5-w/2;:&3T-1q^5&+*/V3/ = 361H?x:,1Hc2cZ39?365T/ < +R?0/-JC
|x;-+tk/ = +*// = 3o/I`b;FH+R`-b;j"
c , O&P +9?33T--365T/214+6FH\/ = 365[\:&;3T-5[;[/ M6;&5T/Ë?+6:.1HM/V\c2;&?8W?3R^3¹1H5¬/ = 3
!#$ #. &% ´ g´Lµ 'R´6{tº\/ = 3M6FH+61>S +tM6M6;&?:,1H5}^a/V;` = 14M = / = 3:&36c21H5j1y/V1H;&5- +R?3FH;&^1HML+mFHFHk-0i < 39?£c2Fqil;[i-gCYWw;&?
/ = 3 <&= 1>F~;]-; <&= 3R?\,/ = 38:&36c21n51y/V1H;j5z1X-l¥Zi-0/V\+*/l/ = 1X-"/21HSz36\+b-Zk[S);jF41>M:&3Rp14MT3+6F>FH;.`1H5&^i-"/V;?36M6;&^&5.1H{L3
+R5+6Fq?J36+t:[kc2;&?Sz36:M6;,5[M63 < /JC
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J = +tp,3a-+614:a/ = +/1y/`b+T- 5&;./ 3R5&;.i^ = /X;-+*k/ = +*/hi--36FHF20-1H5M6;jS < F43*/V3a-Zk[Sb),;jFI-`39?35&;./
F>1H5&^.il1I-0/V1HM.C& = ; < 3v/ = +*/A/ = 1X-¼^365&3R?+6FwM6F4+m1HS 1X--2/V+R?I/21n5}^o/X;)3S;&?3 < FH+*i-1q)lF>3}C[b3T-JMR?1 < /V1H;&5-ZkS);F0+R?35[;[/;,5&Fqk` = +*/G?3RS+61H5-` = 365`b3 = +Rp3D+65+6Fnk[{.3t:a;&?:.1H5&+9?kF>+65}^.i+R^3u FH1n»l3/ = 3D:&3t+6:¬-Z»1>5
-FH;.i^ = 36:;&c2cA)&kD+-5&+9»3.C.Z5[M6;jS < F43*/V3b-Zk[S);jFI- = +Rp3+FH;&^j1HMt+mF]M6;,5L/V3R5T/w` = 14M = 1I-¼:&1>- < F4+tk,3L:b)&k/ = 3
M6;&5T/V3*¤}/Iil+RFx:&36c01H51y/V1H;j5Ce#/
/ = 3o-+6Sz3b/V1HSz36\":&36cZ1H5j1y/V3D:&3L-MR?1 < /V1H;&5-+R?35&;./-36Mt;,5[:&UZ;,?:&3*?M6;,5[M63 < /-v
/ = 3Rk+R?3#¥0iA-2/-Zk&S),;jFI-CI/1>-/ = i-/ = 35[;[/21~;,5;,cF4+65&^.il+R^36\"+R5[:o/ = 3?36FH+*/V1H;&5o),3*/I`3t3m5-ZkS);jFH1I-S
+R5[:F~;,^14M6\Y` = 14M = M6;,Sz3/2;/ = 3c2;&?31H5rC| = 3S3L+R5&1H5&^;&cr),;[/ = FH;&^j1~M+65&:FH+65.^.i]+R^3zM = +65.^3T-\
+R5[: / = +*/JI-A` = kA/ = 1H5.»/ = +*/+R5; <&< ;-1y/21H;&5b),3*/I`b363658/ = 3Til3[-2/21H;&5;jcAF4+65.^.il+9^3+m5[:8/ = 3Til3T-2/Z1H;&5;jc
FH;&^j14MM6;[ilFH:¸),3¬+65Â1>S < 36:&1>Sz365T//V;¸i5&:&3R?J-0/V+R5[:,1H5.^«
C"Ei&/8` = +*/b1X-/ = 3¬Sz36+65&1n5&^;,c-2ilM = +65
3*¤}/V3R5-1H;j5;&c/ = 3FH;&^j1HMt+mF:&;S+61n5
CÄ 1.Ö¦×
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ë
= +*/ +R?3o/ = 3M6;&5j-36Til365&M63.-;&c#/ = 1I-FH;&^j14M61I-+*/V1H;&5;&c8F41n5&^.il1I-0/V14MTil3T-0/V1H;&5j-J
e?3o/ = 3R?3+65.ka/V3R¤}/` = 3R?3hi--3mF4FMt;,5&cI?;&5T/-w/ = 3T-3 < ?;[)[F43mSD-J
= +*pl365q/xc2;[i5[:D+m5.k < F4+6Mt3v` = 39?3vhiA-J-36F>Fw:&3Rp36FH; < 3L: = 1I-+65&+6Fnkl-1I-G+mF~;,5}^/ = 3F>1H53T-¼ = +Rp3 :.?+*`5lC
hi--3mF4F5&3Rp3R?-3t3mSD-"/V;?36+6Fn1I-3/ = +*/ = 1I- < ?+6M*/21~MT31X-"pl3R?Zkz:&1HcZcV3R?365T/cI?;,S·W?3R^3.2-C';&\M9;[iF~:,5q/A`b3
?3R^+9?:o/ = 1>-+ <&< +R?365T/FH+6MR»;&c#+`+R?3m5[3.--+T-v+-ZkS < /2;&S ;&cr/ = 3`3t+R»j5[3T--;&c#Sk1H5T/V3R? < ?3*/V+g/21~;,5l
Â+Rk})l3
= +tp,3D;[pl39?36S <j= +L-1X-J3t:&\+*),;[pl3t\+/21H5.kª:,1HcZc3R?3R5[M63o)3/I`36395W]?3R^3+m5[:hiw--36F>F"`1y/ = ;.i&/
= +Rp1H5&^),36365+R)F43/2;?36M6;&^&5.1H{L3/ = 3 = i^3 < F4+*/2c2;,?S·;&c/ = 361q?
- = +9?36:+T--0ilS < /21H;&5-C
Ei&/zFH3*/JI-/2?Zk&\c2;,?+¬S;S365T/V\/2;c2;jFHFH;.` / = 3 < +/ = `b3 = +Rp,3-2/V+R?X/V3t:¸/2;/V+R»3.C ¾ p3651Hchiw--36F4F
5&;.` = 3R?3-+Rk-#/ = +*/V\A1H5rs\Y/ = 3?36F4+*/21H;&5),3*/I`b363R5D/ = 3DM6;&S < F>3/V3mFHk+65[+mFHk-J36:F4+65.^.il+R^3D+65[:oi-0i]+TF
5&;./V+/21H;,5-)l3tM6;jS3T-G+FH;&^j14ML+6F";&5&36\r`b;.iFH:F>1H»38/V;a- = ;.`/ = +*/"/ = 35&3` ?;jFH3+.--1H^5&36: ´ .¡mµn²/2;
FH;&^j14M81I-x5&;./A` 1y/ = ;[i&/+R5.kz36c2cZ3LM*/-¼;&5hi-J-36FHF20-"/ = ;.i^ = /JC.A` 1HF>F&/2?k /2; < ;&1H5T/;.i.// = +*/l/ = 1X-¼:&1Hc0cV3R?365M63
+6c0cV36M*/-w/ = 3`b+tkhi--J36FHF:&3t+mFI-A`b1y/ = / = 3 < i{6{LFH3.-C
DU < i{t{TF~3[-zMt;[ilFH:)3:3T-MR?1q)l36:+L-1H5-0/V+65[M63.-z;jc+M6;&5T/2?+6:.14M*/21~;,5),3*/I`b363R5/ = 3¬+ <&< FH14ML+*/21H;&5;jc
M63R?2/V+R1H5FH;&^j14M6+6FF4+R`-r+m5[:b/ = 38+ <&< F>14M6+/Z1H;&5z;jcxM63R?2/V+R1H5i-0il+6F^&?+6SSz+*/Z14M6+6F?2iF43T-gC ¼3*/JI-M6;&5j-14:&3R?\c2;&?
1H5-0/V+R5Mt36\/ = 3-36M6;&5&: < i{L{LF>3}CA| = 3F4+*` ;jcG3R¤lMmFqil:&36:¬S14:&:&F>3-0/V1 < ilF4+*/V3T-#/ = +*/+ < ?; < ;]-1¦/21H;,5;&?81¦/5&39^+*/Z1~;,51I-A/2?0il3 [1n5b+6MLM6;,?:&+R5&M63/X;8/ = 1>-xF>+`\j/ = 3 < ?3[-365T/ 1H5}^;c]W]?+65&M631I-)l+6FH:&;&?"*/ = 3 < ?3T-395T/
1n5&^;cW?+m5[M631I-#5[;[/"),+mF~:,8`b;.iFH: = +Rp,3 /V;)3c2+6FI-3}C ¯ ;.`\+T-xW?+65&M63`+.-1H5 P D+h3 < i)FH1>Mt\
5&; 1H5&^;&cW?+95M63s),36FH;j5.^3t:a361y/ = 39?#/2;/ = 3DMRF4+T--v;,c/ = 3)+6F4:3R5T/V1y/V1H3.-;&?/2;1y/-vM6;,S < F436Sz3m5L/V+R?ZklC
eM6M6;&?:&1H5.^/V;` = +/"S+Rk),38Mt+mF4F436:b/ = 3iw-0il+6F?0ilFH3.-¼;,c < ?36:,1~MT+/21H;,5[\,/ = 3#/I`b; < ?V; < ;]-1y/21~;,5-¼+R?3cZ+6FI-3
` = 14M = ^;3T-x:.1q?36M*/VF~k+R^+61n5-2// = 3FH+*`Á;,cw3R¤M6Fqil:&36:S14:&:,F43.C
';:&3L-MR?Z1q),36:&\j/ = 3-1y/Iil+/Z1H;&5D1H5D
1I-
p3R?Zk-1>S14F4+R?/2;/ = 3;&5&3:&36+6Fy/"`b1y/ = )&kDW?3R^31n5 = 1I-+65j-2`z3R?
/2; 3R?Z?2kD¹V
².6´> Gµ¡& }´6LµHº\j` = ; = +6:DMR?1y/V1>M61I-J36: = 14S c2;&? = ;jF~:,1H5&^/ = +/A/ = 3 M6;,5[M63 < / = ;,?-3
1I-D5&;./z+M6;,5[M63 < /C§3R?3¬+T-/ = 3R?36\+¬FH;&^&1>Mt+mFF4+*` ¹X/ = 3¬;&5&3` = 14M = -0/V1 < iF4+*/V3L-/ = +*/z+¬Mt;,5[M63 < /1Ii5j-J+/Ii?+g/V3t:.º81I- M6;&5T/2?+6:&1HM*/V3t:a)&k+65;&?:,1H5[+R?Zk¬^&?+mSzSz+*/Z1~M6+6F
?0ilF>3¹X/ = 3D?0ilFH3;&c8L-0i);&?:&1n5[+*/V1H;,5;jc
M6;&5&M63 < /2#` = 14M = S+9»3T-wiA-
-+Rk/ = +*/w*/ = 3/V;[` 58E3R?F>1451X-¼+/V;.`5}L\+R5&:8/ = 3R?36c2;&?3/ = +/A/ = 3Mt;,5[M63 < /
= ;&?-3b1I-r+Mt;,5[M63 < /26º¢ C8cxM6;.i?-36\j/ = 3vW?3R^3L+65 < ?;[)F436S +m5[:/ = 3
< i{6{LF43.-+R?3b5[;[/w/ = 3-+6S3}C
Ei&/V\a1q5 -; c2+R?«+T-/ = 3Rk );./ = 1n5.p,;jFqpl3 M6;,5L/2?+6:.1HMR/21H;&5)3*/I`b363R5 FH;&^j14M6+6FF4+*`z-«+m5[: ;&?:&1H5&+R?k
^&?+6SSz+*/Z1~M6+6F&?0iF43.-\&1y/x-3t3mSD-A/X;S3 < ;--1q)F43/V;MR;&S < +R?3
/ = 36SDC
Ww;&?AW?3R^3t\[/ = 3vtM6;&5&M63 < / = ;,?-3RX- < ?;[)F436S :&;j3T-x5[;[/),36FH;j5.^ < ?; < 3R?ZFqk/V;F~;,^1HM6\,)}i&/M6;,Sb3[-xcI?;S+
»1n5[:;cS1q¤lUXi < )l3/I`36395/I`;S36+65&1H5&^-G;jc/ = 3b/V3R?2S M6;&5&M63 < /JC,W?39^33R¤ < F4+61H5-/ = +*/1Hck[;.i+6:&; < /
/ = 3 < ;&1H5T/b;,c8p143*` ;jcv/ = 3i-0i]+mFF4+65.^.il+9^36\k[;[i:&;5&;./ c01H5:Â+m5.k < +9?+6:&;.¤C
| = 3-365T/V395&ML3a/ = 3
M6;&5&M63 < / = ;,?-31I-G5&;./+M6;&5&M63 < /21I-?3Z¥J36M*/V36:+T-/2?Z1qp1>+6F4FnkcZ+6FI-J3b)&k+65.k ¾ 5.^FH1X- = - < 36+R»39?C ¯ ;[`b\A1>c
k[;[i±+t:&; < // = 3pl3R?Zkª:,1HcZcV3R?365L/ < ;&1n5L/;&cvp143*`;c/ = 314:&36;&^&?+ <&= k[\k[;[i±:&;¬5[;[/S3t3*/+65.k < i{6{LFI3
361y/ = 39?C"Z5a/ = 3W]?3R^36+65FH;&^j14M6+6FG5&;./V+g/21H;&5&\/ = 3M6;&5&M63 < /VU£-V1q^j5Â- = ;.`-/ = +*/ Mt;,5[M63 < /-Mt+R5~/),36M6;jSz3
+R?Z^.ilS365T/-Á;,c«cZ1H?-0/VUZ;.?:&3R?c>i5[M*/V1H;,5-C5 / = +*/°cI?+6Sz3*`;&?Z»\¸k[;.i M6+R5q/3p365 c2;&?S8iF4+*/V3 / = 3
< ?;.)FH36Sz+*/Z1~M-365T/V365[M63&¢ C|";-2iSÃi < \j/ = 3viw-0il+6FwF>+65}^.i+R^3)l3m1H5&^FH;&^j14M6+6FHFnk14S < 3R?c236M*/V\j/ = 3 ¾ 5}^jFH1I- =
- < 3t+R»3R?Mt+m5&5[;[/¼)36\"1H5W]?3R^3&X-v; < 1H5&1H;j5[\"36Sb)l+9?Z?+T--J36:)&k/ = 3D:&1I- = +R?S;j5.k)3*/I`b36365o/ = 3?0ilFH3.-;jc
= 1I-#F4+65.^.il+9^3+65[:/ = 33R¤./V3R?Z5[+6FAF4+*`D-r;jcA/ = 31>:&3t;,^&?+ <&= k ).i&/"/ = 3M6;&5&ML3 < /VU05[;T/V+g/21~;,5)l361H5.^ < 3R?cZ3tM*/V\
/ = 3FH;&^j1~Mm14+65zM6+65&5&;./3m1¦/ = 3R?")3/2?;.i&)FH36:)&k/ = 1I-x»j1H5:;&c < ?;.)F>36SDC';j\+6M6Mt;,?:.1H5}^/V;bW]?3R^36\T/ = 3R?310?36+6FHFnkb5&; < i{t{TF~3.C
0/1X-5[;-2i? < ?Z1I-3t\l/ = 3R5&\1HcW?3R^3 :&;j3T-5l~/x^1qp3+ < ?; < 39?+R5j-2`z3R?/X; 39?Z?ZkC.§b3-+Rkl-/V; = 1nS/ = +*/ = 3
Si-0/vM = ;j;-3)3/I`36395/I`b;:&1nc2cV3R?365T/ -Zk-0/V36S-b;,c5;T/V+/21H;&5&\
+65[:/ = +/;&5&M63/ = 3M = ;j14M63 = +.-8)3t3T5
Sz+6:&36\w+mF4FY`14F>FA),3o-3/I/2FH36: ¢ C,W]?3R^3^;j3L-A¥0i-2/+8)1y/rcXi?Z/ = 39?#1H5 = ;jFH:&1H5&^o/ = +*/ = 3M6+65&5&;./3*¤ < F4+61H5o/ = 3
`b;,?Z»&1H5}^;jc/ = 3)+T-14McV36+*/Ii?3T- ;&c = 1I-bM6;,5[M63 < /Iil+6F
5[;[/V+/21H;&5¬1H5¬i-1H5&^a/ = 3;,?:.1H5+R?ZkªF>+65}^.il+R^3.Ce
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FH;&^j14M6+6F"cIi5[:&+6S365L/V+mF:,1HcZcV3R?365[M63M6+65q/),33R¤ < ?3T--J36:D`1y/ = +Sz36:&1~ilS ` = 1>M = 1I-1H51¦/-36F>cFH;&^j14M6+6F4Fnk
1>S < 3R?c23LM*/JCL| = +*/JI-A` = kW?39^3+T-Z»- = 1I-"?36+t:&3R?c2;&?Ai5&:&39?-0/V+R5[:,1H5}^+65[:b^;&;:T` 1nF4F2C
¼3*/JI-^;o)+tMR»o/X;
C,B 5&Fn1H»38W?39^36\]hi--36F4F]/V+9»3T-
/ = 3 < i{6{LFH3.-
p39?k-3R?1H;.i-FnkCZ5
D\A1y/¼1I-
/ = 3
¾ 5.^Fn1I- = - < 36+R»39? = 1HSD-J36F>cY` = ;1>-¼36S)l+R?Z?+T-J-36:C}| = 3 < i{6{LFH3.-x:&;5&;./MR;&S3c0?;S·+m5b;[i&/-V1H:&3R?x¹ZcI?;jS
+a?36+6:&3R?` = ;$1I-il5T`b1>F>F41H5&^/V;^&;+RFH;&5.^&º\)}i&/zcI?;,S hiw--3mF4F = 14SD-J3mFHcJChiA-J-36F>F#/V+R»3L-D;.p3R?/ = 3
Â361H5&;5.^1>+65Til3T-0/V1H;&5j$
- / = 3tk < il{6{LF43 = 1HS +[-S8ilM = +T-/ = 3Rk < i{6{LF43T
: Â361H5&;j5}^C| = 3c2+6M*/
/ = +*// = 3
+ <&< FH1>Mt+*/Z1~;,5;,cxi-0il+6F
-36Sz+65T/V1HML+mFw?0ilF>3L-M6;&5T/2?+6:.1HM*/-GFI;&^&1HM6+6F"F4+R`-Sz36+65-\Ac2;&?r/ = 3 ¾ 5.^F>1I- = - < 36+R»3R?
= 1>SD-3mF4cx¹Z+65&:/ = 365Dc2;,?"hi--J36FHFHº\,/ = +/A/ = 3#`b;,?Z»&1H5}^D;jc = 1I-F4+65.^.il+R^3 = +L-
5&;./A),36365zMT+ < /Ii?36:bu +R5&:
5&;./2\D+L-aW?3R^3)l36FH143tpl3t:&\/ = +*// = 1>-`;&?Z»1n5}^ 1X-ª1nF4FI;&^&1HM6+6F2C| = 3 < i{6{LF43.-\D1H5
D\D+9?3©5&;T// = 3
-Zk&S < /V;&SD-;&c+b`b+R5L/G;,cr;,?:&39:? j/ = 3tk+9?3b/ = 3o-Zk&S < /V;&S-;jc/ = 3z:,1Hc2cZ14M*ilFy/Z143T-1n5^&?+.- < 1H5&^+R5;,?:&3R?
/ = +/1>-1H5Ã1y/-36F>cFH;&^1>Mt+mF4Fnk < 3R?c236M*/JC#Ei&// = 1>-1I-5;T// = 3;&5&F~k[\;&?3*p365[\ / = 3S;]-2/1HS < ;&?0/V+R5L/2\
:&1nc2cV3R?365&ML3.C = 1>F43aW?3R^3-2/V+g/V3L-/ = +*/b1y/D1>-5[;[/z3p365 < ;--1q)F43a/V;$c2;&?ZS8ilF>+/V3a/ = 3M6;&5&M63 < /VU = ;.?-3
< i{6{LFH31H5 = 1I-14:&36;,^&?+ <&= k[\hi--J36FHF- = ;.`- = ;.` +FH;,^1HM6+6FA/ = 36;,?ZkM6+653R¤ < F>+61H5D¶ < i{6{LF43.-C = +*/
:&;3T-xT-;jFqp1n5&^/ = 3 < i{t{TF43T- S3t+m5z1H5D
';jFqp1H5.^/ = 3 < i{t{TF43T-¼1I-5&;./2\jc2;&?hi-J-36F>F4\,/V; = +*p3#/ = 3LS
/2?+R5-FH+*/V36:1H5T/V;o-I/V+R5[:&+R?:FH;&^j14M6+6F5&;./V+g/21~;,5lC = 365k[;[isS+R»38-2ilM = +/2?+R5j-F4+*/V1H;&5¹Z+65&:8W?3R^3v1I-"?1q^ = /
;&5¬/ = 1>- < ;&1H5T/2º\k[;.iFH;-3¬-1H^ = /;&c` = +*/b1>- < i{t{TF41H5j^1H5¬/ = 3 < il{6{LF43T-CWY;,?hi--3mF4FH\8-;F~p1H5&^/ = 3
< i{6{LFH3.-ÂSz36+65-?36M6;&^&5&1H{L1n5&^/ = 3¿-M6; < 3$/ = +*// = 3Á1H5M6;jS < F43*/V3Ã-ZkS);F = +T-Â1H5/ = 3-365T/V395M63T)36FH;5.^1n5&^/V;D;.?:.1n5[+R?ZkF4+m5}^.il+R^3.C&0/x1I-/ = i-/ = 3:&36F>1>Sz1y/V+*/V1H;&5D;&cA/ = 3 < F4+6ML3;,cA/ = 35&3R^+*/V1H;&5&\1n5-14:&3
;&?#;.i./-V1H:&3/ = 3z:&36cZ1H5j1y/V3z:j3L-MR?1 < /21H;&50-8-JMt; < 36\Y` = 14M = -;jFqp,3T-#/ = 3 < i{L{TF43z¹£-363Dj¹ .º+65&:¹ P ºZºC| = ihi--3mF4F-2/V+R?0/-`1¦/ = / = 3ap,3R?Zk-ZkS);jF#/ = 3 ¾ 5}^jFH1I- = - < 36+R»39?iw-3T-¹I/ = 3¬:&36cZ1H5&1y/V3:&3L-JMR?1 < /Z1~;,5}º/V;
?36Mt;[p,3R?\Y/ = ?;[i^ = 1y/V\Y/ = 3oFH;&^1HM6+6F
;&?:&3R?gC]hi--36FnF¼:&;3T-5&;./GFH3L+Rp3D;&?:.1H5&+R?ZkF4+m5}^.il+R^3/V;¬39Fn14S1H5+*/V3
/ = 3 < ?;[)F~3mSu +T-
W]?3R^3:&;3T-C| = 1I- < ;j1H5T/- = ;.`-x/ = +*/¼;,?:.1n5[+R?ZkD5[;[/V+/21H;&5D1X-5[;[/V\c2;&?hi--3mFHF4\j/ = 3
-;.i?M63;&cY/ = 3 < i{t{TF43.C[v?:&1H5&+R?ZkzF4+65.^.il+R^l36\+T-"/ = 3b-MT; < 35&;T/V+/21H;,5z;&cY/ = 3rH6 H¡1n5[:,14M6+/V3T-\1>-¼1n5
;&?:&3*?r+T-1y/¼1X-
u 1y/¼M6+653R¤ < ?3T--x/ = 3:&1X-2/Z1H5[M*/Z1~;,5)l3*/4`3t3R5 < ?1nSz+R?Zk+65&:-3tM6;,5[:&+R?Zk;M6M*i?Z?3R5M63T-G;jc
/ = 3:&3L-MR?1 < /V1H;&5C
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8ehi--3mF4F-+tkl-\1n5iA-2il+6FAM61q?M*iSD-2/V+m5[M63.-\j/ = 31H5T/V39? < ?3/2+*/21H;&5Dj¹ .º\j` = 3R?3v/ = 3:&36c01H51y/V3:&3T-JMR?1 < /V1H;&5 = +.+ < ?1HS+9?k;jM6Mi?Z?3R5[M636\j1I-"/ = 3#?1q^ = /;&5&3.CH¢ ';\,1HcAk[;[i/V+R»31H5T/V;z+6M6M6;.i5T/` = +*/1>-Aiw-0il+6F>FHk < ?3T-3m5L/"1H5
/ = 3Mt;,5L/V3*¤./w;&c/ = 3i&/I/V3R?+R5&M63;&c"/ = 3 1H5&^z;jcYW]?+R5M63814-
5&;T/),+mF4:.L\&k&;.i`1>FHFA-+Rk/ = +*// = 1I-
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1I-5&;T/G/ = 3D5&3R^+*/V1H;&5;jc*/ = 3 1H5&^;c#W?+R5M631X-),+6FI:.&CYEi&/V\1Hck[;[i/V+R»31H5T/V;+6MtM6;[i5L/;,5&Fqk/ = 3
` ?£1¦/>/V3R5c2;&?£S ;cb/ = 3-J365T/V3R5[M63¹X` = +*/k[;.iMt+m5M6+6F>FH\c2;jFHFH;.`1H5&^ 1¦/I/2^3R5-0/V361q5[\/ = 3-1H^5;,c/ = 3
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hi--3mF4F4\l/ = 31>S < F414Mm1¦/¼M6;,5.p,365T/V1H;,5-` = 14M = ^;.pl3R?Z5/ = 3vi-3 ;jcx+-1H^j5D1H5;&?:&1n5[+R?ZkF4+m5}^.il+R^38)l36FH;,5&^
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3 Mt+m5D5[;[`·i5&:3R?-2/V+R5&:/ = 3M6F43tpl39?Z53T--;&c"/ = 3;.`5[3R?C.§b3v/V;&;,»/ = 38^.il3L-0/JI-
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p;Fyi5L/V+R?Z1HFnkª53R^F>3tM*/V36:¬+6FHF/ = 31>S < Fn14ML1y/- = +R?36:M6;,5.pl395T/V1H;,5-\
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= 1I- < F4+6Mt3.C ¯ ;.`\j/ = 3b14S < F41>M61y/- = +9?36:DM6;&5.p365T/V1H;&5-+R?J3Sz+65&1ncV3.-0/V36:D1H5¹Lº+65&:D¹ N ºr)&kz/ = 3-M6; < 3
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/ = 33R¤ < ?3T--1H;5&\k[;[iÂ`14F>F#^l3*/1H5¹ Lºz+65&:¹ N ºz3R¤l+6M*/2Fqk/ = 3¬-J+6S3¬-J365T/V395&M636U-1n^5C4¢ z| = +65.»-/V;
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+*)-2i?:8)36F>1436c/ = +*/x-;&S3*/ = 1H5&^zM6+658),3#^&?36+*/V3R?/ = +R51y/-J36FHcgf
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';&\3*p3R5/ = ;.i^ = ¹X/X;¸Sk»5&;.`FH36:.^l3Rº8hi--36F>FG:&;j3L-5&;./ < ;&1H5T/v;[i}/#/ = 3:.1nc2cV3R?J3m5[M63)3*/I`b363R5/ = 3
FH;&^j14M6+6F < ?+6M*/V1HM63;jc¼r+65&:/ = 3W?3R^3t+m5;&5&3t\]/ = 1I-:&1Hc0cV3R?365[MT3 = +T--;S3Sz+Z¥;&?#Mt;,5-J36Til365&M63.-G1>5
/ = 3`b+Rkhi--36F>Fl:&36+6FI-"`1y/ = / = 3 < i{6{LF43.-C6W?3R^3&I-¼+ <j< ?;j+6M = M6+65&5&;T/+6M6Mt;[i5L/Ac2;&?Y/ = 336S39?Z^365&M63;jc
-0ilM = + < ?;[)FH36Su / = 3Rkz+R?3t\j+*/),3T-0/V\.i5&:&3R?J-0/V+R5[:&+t)FË3 < -ZkM = ;FH;,^1HM6+6Fl:,1HcZcV1>MiFy/V143T-A` = 14M = +vF~;,^1HM614+T5
Si-0/¼1q^5&;&?3+R5[:` = 14M = :,1I-J+ <&< 3t+R?1n5+FH;&^1>Mt+mF4Fnk-0/2?0ilM*/Ii?36:FH+65.^.il+R^3}C,Ww;&?hi--3mFHF4\3Rp365D1>c"/ = 36k
`b;[iFH:Â5&;T/b+ <&< 36+R?1H5¬/ = 3¬-0/V+95&:&+R?:5&;./V+/21H;,5[
\ ¸3m1H5l;,5}^j1~+m5 < ?;[)FH36SD-s+m5[:ªhi-J-J3mFHF41>+65¥;&»3[-z+9?3
?36+6FHFnksFH;&^j14M6+6Fw+65&:DS8iA-2/A),3+S+/>/V3R?xc2;,?¼FH;,^14M61>+65-C.Ki{6{LFH3.-
+65[:v¥;&»3T-\]F41H»3b1H5M6;S < F43*/V3-ZkS);jFI-\
+R?3);./ = 1H53R¤./2?Z1HMt+t)FHkF>1H5&^.il1I-0/V1>Mz+65&:FH;&^j14ML+6F5[;[/21H;&5-C 1y/I/2^3R5-0/V361H5D`+.-/V;),3p3R?Zk-J365j-1y/V1qpl3b/V;
/ = 1>-¼»j1H5- = 1 < )3/I`36395 <= 1>FH;-; <&= 14MT+6F < ?;.)FH36SD-G+m5[:v¥g;,»3L-\+R5&:pl39?k-365j-1¦/Z1qpl3+T-`b36F>F/V;/ = 3`+6k
hi--3mF4F:&3t+mFI-A`b1y/ = < i{6{LF>3L-Cy½
0/JI-A/21HSz3/V;M9;,5[MmF¦il:&3.CT = ; < 3/2; = +*p,3vSz+6:31y/MmF436+9?` = kA/ = 1H5&»`3M6+65&5&;./MR;&5j-1H:&39?hi--J36FHF6¥Ziw-0/
+6Sz3*/V+ <&= k-14M61>+65;jcSz36+65&1H5&^j[C ½g¢ Z5
D\
FH;&^1>M1X-b+ <&< FH1436:/V;/ = 3D?36FH+*/V1H;&5a)3/I`363655&;./V+g/21H;&5&+6F
-Zk-2/V36S-8u +*// = 3a-+6Sz3o/V1HS3t\¼/ = 3o`b;,?Z»&1H5}^Â;,c#/ = 3aMt;,SS;j5F4+65.^.il+9^3[-b¹X/ = 3 ¾ 5}^jF41X- = ;,5[36\/ = 3
;&?:.1H5&+R?Zk Sz+*/ = 3mSz+*/V1HML+6FÂ;,539ºÃ1>-ÁM6;,5Mt3m1qpl36: +T-·FË;,^&1HMt+mF4Fnk¨-2/2?0ilM*/Ii?3t:jC| = 3M6;,5[M63 < /«;&c/ = 3
1H5M6;jS < F43*/V3-Zk&S),;jF
1I-5&;./+Sb3R?3DF>1H5&^.i1I-2/Z1HM?3T-14:Ti3u 1y/1>-v+oFH;&^1>Mt+mF¼5&;./21H;,5lC = +*/1n5[:&3636:10S;&?36FH;&^j14ML+6FH+*/"/ = 3/Z1HSz38/ = +65/ = 3Mt;,5[M63 < /¼;&c-M6; < 3` = 14M = hi--3mF4FwM6;,5&5[3LM*/-#-;1H5T/V1nSz+*/V36Fqk1>5
Ã`1y/ = / = 3:&3Rc21H5j1y/V3:&3L-JMR?1 < /Z1~;,5-1H^5
Ei&/:&;Ã5[;T/ < ?3g/V3R5[:°/V; = +*p,3©:&3*/V3R?S1H536: = 3R?36\D1H5+65·365T/V1q?36Fnk -+/Z1>-cV+6M*/V;&?0k«`z+Rk&\` = +*/+
hi--3mF4F>14+651H5M6;jS < F43*/V3¸-ZkS),;jF81I-gC
D:&;5&;T/ < ?3g/V35&:361y/ = 39?/V; = +*p,3¬:&3.-M9?£1q)l36:1H5+65±3m5L/Z1®?36F>k
-+/21X-cV+6M*/V;.?2k`b+Rk = ;.`Ãhi-J-36F>Fw+R?0/V1HM*ilF4+*/V3T-FH;&^1HM+65&:F~+m5}^.il+R^31H5¹Z+R5&:D+6c>/V3R?VºrC&Z5Dc2+6M*/V\j` = +*/x
`b+R5T/V36:/2;:.;D`+T-¥2iA-2/"/ = 3M6;&5T/2?+R?2kf,/X;- = ;.` = ;.`·iFy/V1HSz+*/V36F~k < i{L{TFH1H5&^c2;&?
i-#1>-
/ = 3M6;,5[M63 < /r;,c
/ = 31H5&Mt;jS < F>3/V3 -ZkS);jF4\+65&: = ;.` 1y/±S;,p3L-h#i--36F>F>14+65FH;&^j14M6+6F < ?+6M*/214M63+`z+Rk cI?;jS / = 3
:&1>-0/V1H5&M*/V1H;&58`3Sz+R»3/2;:&+*k[\+mc>/V39? Q +9?Z5&+ < \.)3/I`36395;.)9¥36M/VUF~+m5}^.il+R^3+65&:S3/V+mF~+m5}^.il+R^36\.)3*/I`b36365
1H5T/V3R?5[+mF]+m5[:3R¤./V39?Z5&+6FTil3.-0/V1H;&5j-gC = +*/V3*p,3R?
1I-¼;[i?¼1n5./V39? < ?3/V+*/21H;&5z;,c` = khi--3mF4F^+Rp3#i <D= 1I-;jFH:
:&3R5[;[/21H5.^/ = 36;&?Zk+65&:+6:&; < /V36:/ = 35&3*`+65+6Fqk-J1X-b;,c
s\`3 = +Rp3o/X;+6M6M6;.i5T/c2;,?/ = 3c2+6M*/#/ = +*/
hi--3mF4F20-Ai-3;cA:&3L-MR?1 < /V1H;&5-ZkS);jFI-x1I-F~;,^14M6+6F>Fnk p36?Zk?36c21H536:C
|x;?3RSb3mS)l3R?"/ = 3-0/2?+R5.^365&3.-J-
;cY/ = 3M6;&5&M63 < /x;&cY/ = 31n5[M6;jS < F43*/V3-Zk&S);jFw-3L36So-"/V;S381>S < ;&?0/V+R5L/
` = 365`38F~;j;&»D+*// = 3 .¡mµ~¡lµ #5mC.")36F>143Rp3#/ = +*/ 1y/I/2^3R5-2/V361n5D-+*`/ = +*/r Mt;,S < 36FI-i-"/V;S;:.1Hc0k
:.?+T-2/21HM6+6F>FHk«;.i?M6;,5[M63 < /V1H;&5;jcz+65&+6Fnkl-1I-\;jczF>+65}^.i+R^3t\8;&cFH;&^1>M}
C ±+65.k«;&c/ = 3¸S;-0/ < i{6{LF41n5&^
|"?+6M/V+R?Z1H+65/ = 3.-3T-)l3tM6;jS36\
/ = 1H5.»\AS;&?38i5&:3R?-2/V+R5:&+*)F438` = 365 < i&/1H5/ = 1I-GM6;&5T/V3*¤}/JCjI/#-3636S-
/V;
Sz3/ = +*/`b3M6+65M6;&5j-14:&3R?xSz+m5.k;,c/ = 3T-3#?36S+9?Z»-½Z½x+T-¼+S3R?3M6;SSz365T/V+9?kb;&58` = +/Yhi-J-36F>Fl:&;j3L-
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?36S+61H5-x+8-0/V;.?2kc2;,?x+95&;./ = 3R?;jM6Mt+T-1H;&5C
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