Preprocessing for quadratic programming
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(63) 9;BD:E B7l H BhE\> H LyB WbJ 5DB H 6}] L HKH 3LBm]BmEB7l rg:3RxI: E\3`' H 9C5mx|9u(ll\9RE\BD_l ß H 6 ] 3L3CEM> H LyL H 9ClM3C:lSYx H lMB W{J 5m( L HKW 3Rt H BmEy] LM3 W EM> H{J LM3'#5 HSW ] 3L W 4#579REMBD3C:=xIBmEM>#34E%9;5mE H LMBD:#fbBmE\l|] H 9ClMBm'#5 H 63 W 9CBm:,A|> H :)4 W ' H LO3C]L\3RxOl|Bm@ : Ö E\> H : 6 HSU L H 9l H l{'g( 3C: H YexI>#B U > BDlb3'E\9CBm: H 6')(6 HSU 5D9CLMBD:#f EM> H`H 5mB W Bm:29RE H 6LM3Rx ¥v¨3®§l©7¥vç , cBm: UKH x H : HKH 6{EM> H l H Bm:9 U E\Bmt H LM3RxOl BD: 3CL
(64) 6 H L EM3L HSU 3C:lvEML\4 U EE\> H 69RE\9 3C]EM> HOJ LM3'#5 HSW 9;]E H LE\> H EML
(65) 9;:lv] 3CL WbH 6 J LM3'#5 HKW >9l' HKH :{lM3C5Dt H 6YuEM> H (9;L H :#3;E U 3 W{J 5 H E H 5D(-6B7l U 9;L
(66) 6 H 6 '4E&9;L H r HKJ E|BD:+E\> H J L\3C'#5 HKW 6#9;E\9blvEML\4 U E\4#L H 9RE|E\> H H :6+3;5] ÖY#xIBmEM>#34E J 579u(gBD:#fb9;:)( L\3C5 H Bm:=E\> H EML
(67) 9;:lv] 3CL WbH 6 J LM3'#5 HKW , ««¥v¨a/® "ªJ¬r©7¥ ¯3¬¾ n£à® §g¨¦©7¡®-¥v¨©©q ®-¨E-© ¤ l¡l° ^&l=x H xIBD5m5l HKH ' H 5m3RxyY%BhE W 9u( lM3 WbH EMB W{H lp' H 96tR9;:gE\9Cf H 34l EM3 9C6#6{9 W 4#5mEMB J 5 H 3C]j9C: H ¼g49C5mBmE( U 3:lvEML
(68) 9;BD:EEM3y9C:#3;E\> H L U 3C:lvEML
(69) 9;BD:gESYRE( J B U 9C5m5D(E\3 U L H 9;E H 9: H x ½ H LM3 BD:bEM> H 4 J 6#9;E H 6bt H L
(70) lvBD3C:3;]jEM> H 5D9;EvE H LSYC'#4E lM3 WbH EMB W{H l H t H : E\ 3 ½ H L\3+BmE H :gEMBDL H 5m(Y9Cl W Bmf>E >9 J#J2H : xI> H : U 3 W '#BD:#Bm:f Æ 9C:6}EM>)4l B76 H :E\Bh] ()BD:#f È 6 HKJjH :6 H :gE U 3:lE\L\9CBm:gE
(71) lK,. . µC¶ . . µ "·1¸¹´Cº#¶³. » H :#3Rx L H tgB H x EM> HyJ LM3'#5 HKW lvB WbJ 5mB U 9;EMBD3C:lIE HSU >:#B¼g4 H lKYBm:`xI>#B U >_EM> H 9;'j3Rt H EML
(72) 9;:2l] 3L W 9 EMBD3C:2l W 9u(-' H 4l H 6,p^ 579;L\f H :)4 W ' H L?3C]2E\> H E HSU >#:#Bj¼g4 H l?4l H 6{] 3CL E\> H lMB WbJ 5DBdß U 9RE\Bm3: 3;]<el 9 JJ 5m( 9l x H 5m5E\3+E\> H U 9l H 3;]s5mBD: H 9CL J LM3fCL
(73) 9 WbW Bm:fY9;:6 9;L H{H l\l H :E\BD9C5m5D( 6 H l U LMBD' H 6 BD: EM> H L H ] H L H : UVH l U BhE H 6`9C'23Rt H , » H 9;57lM3 W{H :gEMBD3C:=EM> HSW ] 3CL U 3 WbJ 5 H E H : H l\lSY9;:6=BD:6B U 9;E H E\> H : H x EML
(74) 9;:2l] 3L W 9RE\Bm3:l H k J 5DB U BhE\5m(,
(75) !#"$ %&')(. Æ PC,DP È Y#x HW 9u(B WbWbH 6B79RE H 5D(t H LMBm] (bEM> H lvB WbJ 5 HU 3 WbJ 9;EMBD'#Bm5DBmE( U 3:6BmEMBD3C:l Ç ä Õ Ç ä Æ . É P,-,-,- Ø
(76) È 9;:6 Ô â Õ Ô â Æ á É P,-,-,_Ý È , Æ [#,DP È 3;]E\> H l HyU 3:6BmEMBD3C:ls] 9CBm57lKY Æ PC,DP È B7l U 5 H 9;L\5m( BD: U 3 WbJ 9RE\Bm'5 H 9;:26+9;EvE HSWbJ EMBD:#f{EM3 lM3C5Dt H BmE. 1BDt H : J L\3C'#5 HKW. . ]3: H B7l?63)3 WbH 6E\3y] 9;BD5z,pA|> H 6#BD9CfC:#3glE\B U B7lpEM> H : J 9Cl\l H 6EM3 E\> H 4l H Le9C:6 J L HKJ L\3 UVH l\lMBm:#fylvEM3 J#J2H 6, » H 9;57lv3{B WbWbH 6#BD9;E H 5D(3'E\9CBm:+EM> H lvB WbJ 5 HU 3C: U 5m42lvBD3C:lSn N * ä N+* Ç ä É Ç ä * Ç ä Ì*( ä + 9;:26 N * ä , + N * Ç ä É/Ç ä * Ç ä., )( ä-, +.
(77) 9;:26Y U 3:gt H L
(78) l H 5m(Y. Ç ä ÉËÌ*( * ä N+* ä N 9;:6 Ç ä É+)( * ä ÕN * ä Õ N ] 3CL . É P-,,-, Ø ,. ]x H :#3Rx EM4#L\:{EM3 EM> H&U 3:lE\L\9CBm:gE
(79) l 9;:6{E\> H BDL W 45hE\B J 5 H L
(80) lSYCx H 3C'E
(81) 9;BD:bEM>9;ESY ] 3CLá É P-,-,, _Ý Y â N * â N+* Ô â É Ô â * Ô â Ì*( 9;:26. . 9;:26Y U 3:gt H L
(82) l H 5m(YgEM>9;E. â, N. * . â, + N * Ôâ É Ôâ * Ôâ ,. )(. Ô â É *Ì ( * â N+* â N 9;:26 Ô âÉ')( * â Õ N * â Õ N, . !# & » H : H k)E U 3C:2lvB76 H L{E\> H_J LM3'#5 HKW lMB WbJ 5DBdß U 9RE\Bm3:l{EM>29RE U 9C:' H 6 H 64 UVH 6] L\3 W EM> H=J LMB W 9;5 U 3:lvEML
(83) 9;BD:E
(84) l Æ PC, [ È 3L Æ P, È Bm:6 HKJjH :6 H :gEM5D(+3C] H 9 U >=3;EM> H L&9C:6=BmL\L H l JjHSU EMBDt H 3;]EM> H tu9C5m4 H lI3C] Í 3CL Ò , . . . . .
(85) . . . "!$#%'&. A|> H 2ß L\lvE Æ C9 :6 H 9lv( pÈ U 9l H B7l?xI> H : L\3Rx á 3;]jEM> HOW 9;EML\Bhk Ö B7l BD6 H :gEMB U 9C5m5D(½ H L\3,A|> H :Y H BmEM> H L. Ô âCÕNÕ Ô â U 3 WbJ 9;EMBD'#5 H 9;:6-EM> H á EM>{5mBD: H 9;L. BD:xI>#B U > U 9l H EM> HIJ LM3'#5 HSW B7l 3CL Æ [#,wZ È ] ;9 BD57lI9;:6+EM> HyJ LM3'#5 HKW B7lI9;fg9;BD:+BD: U 3 WbJ 9RE\Bm'#5 H , . Æ [#,wZ È. U 3:lvEML
(86) 9;BD:E W 9u(' H L HKW 3Rt H 6Y. ()*+-,./0#1*2!3#%'&. . ]&9 f H : H L\9C5 U 3:lvEML
(87) 9;BD:Eá>29ClyE\> H ] 3L W Ô â Õ ã â}ä Ç ä Õ Ô â ] 3CLlM3 WbH .}' H Ex HKH : P9C:6 Ø Y EM> H :=BhE U 9C:' H L HSU 9ClvE|9l9{l H EI3;]lMB W{J 5 H j' 3C4#:6l3:E\> H ut 9CLMB79;'5 H Ç ä , 0`3L HJ L HSU B7l H 5D(CYgEM>#B7l U 3:lvEML
(88) 9;BD:E|B7l H ¼g4#BDtR9;5 H :gE|EM3 i%: UKH. Ôâ Ôâ Ôâ Ôâ ã ârä Õ Ç ä Õ ã ârä Æ Bh] ã }â ä , N È 3CL ã ârä Õ Ç ä Õ ã â}ä Æ Bm] ã ârä N È , EM> H U 4#L\L H :Es'234#:6#ls3: Ç ä >9ut H ' HSH : J 3glMlMBm'5m(bE\Bmf>E H : H 64lMBD:#f-E\> H l H L H 5D9;EMBD3C:lSYgEM> H. á E\>+f H : H L\9C5 U 3C:2lE\L\9CBm:gE 4. W 9u(' H L HKW 3Rt H 6 ] L\3 W EM> HyJ L\3C'5 HSW ,. 56#-798:,./0#1*!3#%;&;< *=>&0,)?@./AB7< ,)?0).&. O^ :3;EM> H L 4l H ] 4#5 U 9Cl H BDlpxI> H :{EM> H á U 3C:lvEML
(89) 9;BD:gEE
(90) 9;r H lEM> H ] 3L W ã â Ç Ì ã â}ä Ç ä É Ô â Æ W{H 9;:#BD:#f EM>29REDÔ â É Ô â É Ô â È , .:=EM>#B7l U 9l H Y Ç ä W 9u( ' HyH 5mB W mB :9;E H 6] L\3 W ME > y H H ¼g49;5DBhE(YfCBDt)Bm:#fEM>29RE. Ç ä Õ Ç ä É Ô â ã ã ârä â Ç Õ Ç ä .
(91) xI>#B U >+BD:=EM4#L\:lIB7l H ¼g4#BDtR9;5 H :gE|EM3bE\> H '234#:6#l Bm]5ã. ârä 9C:6ã â >9ut H. Ô â ã â}ä Ç ä Õ Ç Õ Ô â ã â}ä Ç ä ãâ ãâ. Æ [#, [ È. EM> H lM9 W{H lMBmf:Y3CL. Ô â ã â}ä Ç ä Õ Ç Õ Ô â ã â}ä Ç ä Æ [#, È ãâ ãâ 3;E\> H L\xIB7l H , A|>#B7lblv>3RxOlE\>9RE{EM> H 'j3C4#:6l3: Ç ä W 9u("' H E\L\9C:l] H LML H 6=EM3 Ç ÛÆ 3CL{t)B UKHV t H L\l\9 È YlM3E\>9RE Ç ä W 9u(b' HU 3C:lMBD6 H L H 6 9Cls9y] L HKH tR9;L\BD9C'#5 H ,.:3;E\> H Lsxs3CL
(92) 6#lKYx H 3C'E
(93) 9;BD:E\>9RE Ç ä É+)( Y Ç ä É *Ì ( Y#9;:6 Ç É W 9Rk Ç Ô â ã ãâ ârä Ç ä 9C:6 Ç É W BD: Ç Ô â ã âã â}ä Ç ä Bm]5ã ârä 9C:6ã â >9ut H EM> H lM9 W{H lMBmf:Y3CL Ç É W 9Rk vÇ Ô â ã ãâ ârä Ç ä 9C:6 Ç É W BD: Ç Ô â ã âã â}ä Ç ä . 3;E\> H L\xIB7l H ,^&l xIBD5D5 ' H l HKH :}BD:"c HSU E\Bm3:l [#, [#,DP{9C:6 [#, [#,wZYEM>BDlE\L\9C:l] H L BDlylM3 WbH E\B WbH ly9C6 tR9;:gE\9Cf H 3C4lS, ^: H x H k)E H :lMBm3:3;]E\>#B7l B76 H 9&BDl EM3&] L HSH 9&tu9CLMB79;'5 H ')(_Ml J 5DBhEMEMBD:#f%9;: H ¼g49;5DBhE( U 3:lvEML
(94) 9;BD:E BD:E\3"Exs3"Bm: H ¼g49;5DBhE\B H lxI>#BD5 H L HKW 3Rt)Bm:#f E\> H 'j3C4#:26#l3: EM> H U 3:lvB76 H L H 6 tR9CLMB79;'#5 H , 0`3L H J L HSU BDl H 5D(CY)E\> HU 3:lE\L\9CBm:gE. B7lsEML
(95) 9;:lv] 3CL WbH 6+Bm:gEM3. Bm]5ã. ârä ,. ã â}ä Ç ä Ì × ã â Ç <É Ô â Ðä. 9;:6. Çä Õ Çä Õ Çä. ã ârä Ç ä Ì × ã â Ç É Ô â äÐ. 9C:6. Ô â ã ârä Ç ä Õ × ã â Ç ÕÔ â ã â}ä Ç ä Ðä. Æ [#, È. ã ârä Ç ä Ì × ã â Ç %É Ô â äÐ. 9C:6. Ô â ã ârä Ç ä Õ × ã â Ç ÕÔ â ã â}ä Ç ä Ðä. Æ [#, È. N#Y#9C:6. Bm]Jã ârä N#,pi&] U 3C4#L
(96) l H YVE\>#B7lEML
(97) 9;:2l] 3L W 9RE\Bm3:%B7l3:#5D(&4l H ] 4#5g9Cl9 J LM3'#5 HSW L H 6#4 U E\Bm3:%E HSU >#:B¼g4 H Bm]#EM> H 3CL\BDfCBD:9;5 H ¼g49;5DBmE( W 9u(ylM4#'l H ¼g4 H :gE\5m( ' HH 5mB W Bm:9;E H 6y] L\3 W EM> HsJ L\3C'#5 HKW YR4lMBD:#fOE\> H ] 9 U E EM>29RE Ç ä B7l|] L HSH 6=BD:+E\> HJ L\3 UVH lMl Æ l HKH c HSU E\Bm3:lO[, [,mP 9;:6_[, [, Z È , . E&9;57lM3{>29Cl|E\> H 6L
(98) 9uxI'9 U r 3;]L H 64 U BD:#fyEM> H :)4 W ' H Le3;] H ¼g49;5DBhE( U 3:lvEML
(99) 9;BD:E
(100) lKYCEM> H L H ] 3CL H 6 HU L H 9ClMBD:#f EM> H BmL J 3CE H :E\BD9C5242l H BD:3;E\> H LsE\L\9C:l] 3L W 9;EMBD3C:lslv4 U >+9ClE\>#3l H 3C]c HU EMBD3C:_[#,wZ, ,
(101) #3LsEM>#B7lsL H 9ClM3C:Y)x H ] 34#:6' H lvE :#3CE{E\3"4l H EM>#B7lbE HU >#:#jB ¼g4 H Bm:EM> H ßL\lvElvE\9;f H l{3;]EM> H`J L H lv35mt)BD:#f J LM3 UKH l\l
(102) 8 YxI> H L H EM> H EML
(103) 9;:2l] 3L W 9RE\Bm3:l3;]?c HSU EMBD3C:`[#,wZ, 9CL H 9REME HSW{J E H 6 ß2L\lvES,. "!#%$#&'&)(*"+!&-, .0/2134,2&5&-*!76+!"8+/29 +6:/21<;5+8=/2&-1?>5.
(104) . . 9#. ! )*9+:!3./=7*9=< * . < *=. )* ./< &0)8,.. !3). < , #1*& 0!$< )* 0&. . ] x H :3Rx U 3C:2lvB76 H L|9f H : H L
(105) 9;5j5mBD: H 9CL U 3C:lvEML
(106) 9;BD:gESY U 3LML H l J 3:6BD:#fyE\3-E\> H á EM>LM3Rx 3C]ÖY#l\9u(CY EM> H :`9blvB WbJ 5 HU 9;5 U 4#579RE\Bm3:=lM>#3RxOlEM>29RE . Ö Ç â É ä × ã â}ä Ç ä Õ × ã râ ä Ç ä Ì × ã ârä Ç ä É â Ð Ð. 8. Æ [#,$ È. .
(107) .
(108) . 9;:26Y#lvB W Bm579;L\5D(CY)EM>29RE. Ö Ç â × ã â}ä Ç ä Ì × ã ârä Ç ä É â , Æ [#, X È Ð Ð A|> H ¼g49;:gEMBmEMB H l â 9;:26 â 9CL H r):#3RxI: 9l-5D3Rx H L{9C:6 4 J#J2H L #¥ ""¯E¬r¥y V« -ªJ¨E«¦ 3: E\> H á EM> U 3:lvEML
(109) 9;BD:E,{c H t H L\9C5 U 9Cl H l W 9u(`:#3Rx 3 UKU 4#L,A|> H ß L
(110) lEyB7l xI> H : â Ô â 3L â , Ô â ,{A|>#B7l B W{J 5mB H lEM>9;E EM> H á E\> U 3C:2lE\L\9CBm:gE U 9;:#:#3CE' H lM9;EMB7lnß H 6] 3CL9;:)(&tR9C5m4 H 3;])EM> H tR9;L\BD9C'#5 H l' H Ex HKH : EM> H tR9;L\B79;'#5 H 'j3C4#:6lKY;9C:6 EM> HJ L\3C'5 HSW B7l EM> H L H ] 3CL HD¥v¨w£# V®-¦V¥ ¬¾ , A|> H l HSU 3C:6BDlxI> H : â É Ô â 3CL â É Ô â ,?A|> H á EM> U 3:lE\L\9CBm:gE|BDlsE\> H :_l\9;B76E\3{' H£#-¡§l¥v¨a BD:E\> H l H :l H E\>9REO9C5m5tR9;L\B79;'#5 H l 3 UKU 4#LMBD:#fbBD:+E\>#B7l U 3:lvEML
(111) 9;BD:E W 4lEO' H #ß k H 6E\3bEM> H BmL&L H l JjHSU EMBDt H 'j3C4#:6l|] 3CLIE\> HU 3:lvEML
(112) 9;BD:E EM3b' H lM9;EMB7lnß H 6YxI>#B U >_B WbJ 5DB H l|E\>9RE â É Ô â É * Ç ä É Ç ä ] 3CLO9C5m5 . ã ârä , N 9;:6 Ç ä É Ç ä ] 3CLO9C5m5 . -ã â}ä N . .
(113) .
(114) . . . . . 3CL. Ç ä É/Ç ä] 3LO9;5D5*. -ã â}ä , N 9C:6 Ç ä É Ç ä ] 3LO9;5D5 . -ã ârä N, i%: UKH E\> H l H tu9CLMB79;'5 H l%9CL H #ß k H 6YEM> H á E\> U 3C:lvEML
(115) 9;BD:gE%B7ly9;4E\3 W 9RE\B U 9;5D5m( l\9RE\BDl_ß H 6}9;:26 W 9u( ' HH 5mB W Bm:9;E H 6`] L\3 W EM> HJ L\3C'5 HSW ,y. E W 9u(`9;57lv3+>9 J#JjH :}EM>9;EuÔ â â 3L â Ô â ,y.:}EM>#B7l U 9l H Y)EM> HU 3CL\L H l J 3C:26Bm:f-BD: H g¼ 49C5mBmE( U 3:lvEML
(116) 9;BD:EIB7l ¡ V«-ªJ¨E«®-¨© 9C:6 W 9u(' H BDfC:3CL H 6, . â É Ôâ É *. . . . . . 97!$!./!. 7&0.. #"
(117) ),).=$# < !$)<8:,.. 8. #17*9=&;#-*. !$). < ,% #1*9&0 !3< )* 0&. . ]&9 J LMB W 9;5 U 3C:2lE\L\9CBm:gE-B7l-:3;E-] 3L U Bm:fYpL H 64#:69;:gE-3CL{BD: U 3:lvB7lvE H :gEYx HW 9u( lE\Bm5D5|4l H BmE\l H k J L H l\lMBm3:}9;:6 EM> H tR9;5D4 H l%3C] â 9;:6 â E\3=6 H 64 UKH 42l H ] 4#5 '234#:6#l3:}E\> H tR9CLMB79;'#5 H l%E\>9RE 3 UKU 4#LbBm: EM> H U 3C:lvEML
(118) 9;BD:gES, a 3C:lMBD6 H L 9 tu9CLMB79;'5 H" 3 USU 4#L\Bm:f BD:E\> H á E\> U 3C:lvEML
(119) 9;BD:gExIBmEM> ã â , N#, A|> H : â Ì ã â ÆyÇ Ç È Õ ä × ã â}ä Ç ä Õ Ô â Æ [#, È. 8 xI>#B U >E\> H :_B WbJ 5mB H lIEM>9;E . . Ç Õ Ç Ì Ô â ã â â , &. c)B W Bm579;L\5m(YBh]Cã. â . N#Y)E\> H : . â Ì ã â yÆ Ç . Ç È Õ ä × ã â}ä Ç ä Õ Ô â. 8. Æ [#,DPSN È.
(120) X B W{J 5mB H l|E\>9RE. ». Ç. Ç Ì Ô â ã â â , &. . â. 9;:6+3C'#E\9;BD:+EM>9;E. × × âã Ô â Ð ã ârä Ç ä Ð ã â}ä Ç ä , J 9;LME Æ 5D3Rx H LO'234#:6 È 3;]EM> H á E\> U 3C:lvEML
(121) 9;BD:gESY2x. H 6 H 64 UKH Bm: EM> H. HyW 9u(+9 J#J 5D( E\> H lM9 WbH L H 9lv3:#BD:#f42lvBD:#f{EM> H B WbJ 5DB H 6+4 J#J2H LO'j3C4#:6. ã â N É * Ç Õ Ç Ì Ô â ã â â , i&] U 3C4L\l H YE\> H l H 'j3C4#:26#l&9CL H 3:#5m(+4l H ] 4#5Bh] â 3L â 9;L H ß:#BmE H Y2xI>#B U >`BDlOEM3l\9u(xI> H :_EM> H 'j3C4#:6l3C] E\> H tu9CLMB79;'5 H le3 UKU 4#L\Bm:#f{BD:E\> H BDLI6 H ß:BhE\Bm3:l Æ [, È 9C:6 Æ [#, X È 9;L H ß:BhE H , » H :#3Rx ] 3C5D5D3Rx 13C:6½KBD3 Æ P È 9;L H 6 H L\Bmt H ] 4LvE\> H L B WbJ 5mB U 9;EMBD3C:lpBD:{EM> H l JjHSU B79;5 U 9Cl H xI> H L H 3:#5m(-3C: H 3;]E\> H 'j3C4:6#l3C: E\> H tR9;L\B79;'#5 H leBDleBm:Jß2:#BhE H BD: Æ [#,$ È 3L Æ [#, X È , ^%lMlM4 W Bm:fEM>29RE Ç É')( ] 3CL lM3 WbH " lv4 U > EM>9;Euã â , NY2E\> H : Y U 3C:2lvB76 H L\BD:#fE\> H L\BDfC>gE J 9CLvE Æ 4 JJ2H Ly'234#:6 È 3;]?E\> H á EM> ã â ,. É*. N. Ç Ç Ì Ô â ã â â . . 9;:6 . U 3:lvEML
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(212) 9;f H L H ¼g4#BDL H 6_] 3L&E\> H á EM> J Bmt3;E U 3C:gE\L\9CBm:gE Æ EM3=' H{H 5DB W BD:9;E H 6 È E\3=lvEM3L H EM> H l H J 3l\lvBD'#5 H ß5D5 BD:lSY 9Cl%EM> H BDLy:g4 W ' H L U 9C:#:#3CE H k UKHKH 6`EM> H :)4 W ' H Ly3;]s:#3C:½ H L\3l%Bm: U 3:lvEML
(213) 9;BD:E á
(214) ,ei&] U 34#L
(215) l H EM>#B7lIL H g¼ 4#BDL H llM3 WbHyU 9CL H BD:E\> H 9Cl\lv3 U BD9;E H 6+6#9RE
(216) 9lvEML\4 U EM4#L H W 9C:9;f HKWbH :gE Æ l HKH c HU EMBD3C: È ,-.: 3C4#L B W{J 5 HSW{H :gE\9RE\Bm3:Yx H 42l H 9;: 9C6#6BmEMBD3C:29;5pBm:gE H f H Ly9;L\L\9u(b3;]slvB½ H Ý EM3 9;5D5D3Rx E\> H-U 3: U 9;E H :9RE\Bm3:=3C]pEx3L\3RxOlI3C]CÖ Bm:gEM3+9lvBD:#f5 H WbH L\f H 6L\3Rxy,|0`3CL HJ L HSU BDl H 5D(CY Æ "sÈ U 3C:gE\9CBm:lsE\> H Bm:26 H k=3;] E\> H L\3Rx EM3b' H U 3C: U 9RE H :9;E H 6EM3bL\3Rx " YBm]E\> H L H BDlIlM4 U >_9{LM3RxyY . 3CL?9 U 3C:)t H :E\Bm3:9;5 W 9;L\r H LpBh]jEM> H L H B7lp:#3 ] 4#LMEM> H L L\3Rx EM3 U 3C: U 9RE H :9RE H EM3yL\3Rx " , A|>#B7l 9;5D5m3RxOl 9;: H 9lv( H k J 5D3CL
(217) 9REMBD3C:+3;] W{H LMf H 6+LM3RxOlS, A|>#B7l-r)BD:6"3;]OL H 6#4 U E\Bm3:"BDl H l J2HU B79;5D5m( 4l H ] 4#5sBD: Ö Æ 3CL J 9;LME-3;]OBmE È BDl{9Cl\lv3 U BD9;E H 6 xIBmEM> 5DBm: H 9;L: H Exs3CL\r U 3C:lvEML
(218) 9;BD:gE\lSYCxI> H L H Bm:gE H L W{H 6B79RE H :#36 H l W 9u(3C]E H :+' H%H 5DB W BD:9RE H 6,i%:EM> H 3;E\> H L&>9;:6YEM> H L H BDlO9 69;:#f H LO3C] U L H 9REMBD:#f U 3:lvEML
(219) 9;BD:E
(220) lsEM>9;E%9;L H EM3)36 H :l HMÆ 9;5mEM>3C4#f>_EM> H EM3CE\9C5:g4 W ' H LO3C]:#3: ½ H LM3 H :E\LMB H l|BD@ : Ö U 9C:=3:#5D(6 HSU L H 9Cl HOÈ YxI>#B U > U 9;:_' H 9 6#BDl\9C6tR9C:E
(221) 9;f H EM3 UKH LME\9;BD:{Bm:gE H LMBD3CL J 3Bm:gE W{H EM>#36#lSY9C:6{lM9;] H fC429;L
(222) 6#lp9;f9CBm:2lEEM>#B7l lH èjHU E W 9u(' H '#4#BD5hE?BD:{EM> H J L\3 UVH 6#4#L H ,
(223) 3CL|BD:lE
(224) 9;: UKH Y)L\3Rx W{H LMfBm:f U 9;:' H 9;5D5m3Rx H 6lM3{5m3:#f9leE\> H lvB ½ H 3;] EM> H WbH L\f H 6 L\3Rx 63 H l%:#3;E H k UVHSH 6 EM>9;E3C]eLM3Rx " Bm:}EM> H 3LMBDfCBD:9;5 J L\3C'#5 HKW ] 3L W 4#5D9;EMBD3C: ')( W 3CL H E\>9;: 9 42l H L l JjHSU dB ß H 6 JjH L UVH :gE
(225) 9;f H xI> H : Ö B7ll J 9;L
(226) l H , i%'2l H LMt H EM>9;E{3: HW 9u( 9;f9CBm: 9;EvE HKWbJ E EM3 W 9;r H 95DBD: H 9CL 6#3C4#'#5 H E\3C: tR9CLMB79;'#5 H ] L HKH 3CLB W{J 5mB H 6}] L HSH ')(`9 JJ 5m()BD:#f+EM> H E HU >#:#jB ¼4 H 3C] c HU EMBD3C:_[#,wZ, [#,
(227) Bm:29;5D5m(:3;E H E\>9REO34#LI6 HSU BDlMBm3:E\3b4l H E\> H lE\3CL
(228) 9;f H 3CL\BDfCBD:9;5D5m( 9C5m5D3 U 9RE H 6] 3CL EM> HIJ Bmt3;E U 3C:lvEML
(229) 9;BD:gE] 3LpEM> H&J 3glMlMBm'5 H ß5D5 BD:{BD: L\3Rx "-J L H t H :E
(230) lp4lp] L\3 W lv4#'2lE\BhE\4EMBD:#f Æ [#,DPS[ È BD:E\3 W 3L H E\>9;:_3C: H 3CEM> H L U 3:lE\L\9CBm:gE, 44. . .< ,. . #-! )*+ #-! )*+< *=. )* .< & )?8:,.. =79< ,% #-*&0 !3< )* &. .:E\> HyU 9l H 3;] f H : H L\9C5j6#49;5 U 3:lvEML
(231) 9;BD:E
(232) lKY)x H l HKH EM>29REsEM> H . E\> U 3C:lvEML
(233) 9;BD:gEBD: Æ CP ,wZ eÈ W 9u( ' H L H xIL\BhEME H :_9Cl Þ ã ârä â × å ä Ç É Í ä ä , Æ [#,DPSX È â 8 8 . ]jlM3 WbHIU 3 WbJ 3: H :gE\lp3C] 3L 9;L H ß2:#BhE H YCEM>#B7l H ¼g49;EMBD3C: W 9u(y' HIH k J 5m3BhE H 64lvBD:#fEM> H :3;EMBD3C: 3;]B WbJ 5DB H 6+'234#:6#lSY#BD:=9 W 9;:#: H LIlvB W Bm579;LsE\3{42l H 6] 3L J LMB W 9;5 U 3:lvEML
(234) 9;BD:E
(235) lsBm:`c HSU EMBD3C:_[#,wZ, ,.
(236) PS[. » H ß L\lvEO6 H ß2: H. ä É Þ ã ârä â Ì Þ ã â}ä â Ð Ð . 9;:26.
(237)
(238) .
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(240) ". Þ Þ ä É ã â}ä â Ì ã ârä â . Ð. Ð.
(241)
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(244) . . #L\3 W EM> H l H 6 H ß:#BmEMBD3C:lSYBmEOBDl U 5 H 9;LsEM>29RE
(245). . × å ä Ç . Ð. . . × å ä Ç . Ð. × å ä Ç . Ð. Æ [#,DP È. . . ". × å ä Ç ,. Ð. Æ [#,wZ;N È. ". ä Õ â Þ ã ârä â × å ä Ç Õ ä 8. 8. 9;:26E\> H L H ] 3L H Y)] LM3 W$Æ [,mPX È )Y E\>9RE. ä Õ Í ä ä Õ ä , Æ [#,wZP È ~O:2lv4#L J L\BDlMBD:#fC5D(CY ä 9C:6 ä 9;L H{U 9;5D5 H 6 #¥ "D¯3¬r¥y V« ªJ¨3«-¦ 3: EM> H . EM> 649C5 U 3C:2lE\L\9CBm:gES, » H EM> H :_3C'E
(246) 9;BD:E\>9RE Íä ä Õ ä Õ Íä ä, @ H E{4l U 3C:lMBD6 H LßL\lvE{EM> H`U 9l H xI> H L H ä Õ N#Y?xI>#B U > W 4lvE{3 UKU 4#LbBh] Ç ä É )( Yp] 3CL BD:lE
(247) 9;: UKH ,p^ ßL
(248) lvE J 3l\lvBD'#BD5mBmE(B7leEM> H : EM>9;E Í ä , ä ,p. ]EM>BDl>9 JJ2H :lKYEM> H :x H 6 H 64 UVH ] LM3 W Æ [, Z#P È EM>29RE ä Í ä ä , N Æ [#,wZCZ È xI>#B U >B7l-BD: U 3C:lMBDlvE H :gE{xIBmEM> 3C4#Lb9Cl\lv4 W{J EMBD3C: E\>9RE ä Õ N#, H : UKH E\> H=J LM3'#5 HKW BDlb6429;5 BD:] H 9lvBD'#5 H Y 9;:6 E\> HJ L H lv35mt)BD:#f J LM3 UKH 64#L HW 9u(}' H E H L W Bm:9;E H 6, ^ l HSU 3:6 J 3l\lvBD'#BD5mBmE( B7l EM>29RE Í ä ä , .:=EM>#B7l U 9Cl H Yx H 3'E\9CBm:+] L\3 W$Æ [#,wZP È E\>9RE ä N ä Õ Í ä Æ [#,wZ;[ È xI>#B U >"Bm: E\4#L\:"B WbJ 5DB H lyE\>9REE\> H 4 JJ2H L-'j3C4#:6 3: EM> H .;E\> tR9;L\BD9C'#5 H{W 4lvE-' H 9 U EMBDt H n-x H W 9u(=EM> H :ß#k Ç ä E\3 Ç ä ,-A|> H . E\> 6429;5 U 3:lE\L\9CBm:gEBDl l\9;B76`EM3=' H V®-¬r<£#¡§#¥v¨Z 9C:6}EM> H . E\>+tR9CLMB79;'#5 H BDlIl\9;B76+EM3b' H « "¥v¨3®© V« , i%: E\> H 3CEM> H L%>29;:6YBmE W 9u(_>9 J#JjH :`E\>9RE ä N Æ ] 3L%BD:lvE\9C: UVH Bh] Ç ä É Ì*( È ,yA|> H :Y Bm] Í ä ä Yx H 6 H 6#4 UVH ] LM3 W Æ [#,wZP È EM>9;E Æ [#,wZ;[ È >#3C576#lSY2xI>#B U > B7l%9Cf9CBm:`BD: U 3 WbJ 9RE\Bm'#5 H xIBmEM> 3C4L&9Cl\lv4 W{J EMBD3C:_EM>29RE ä N#,IA|> H-J LM3'#5 HKW BDl%9;57lv36429;5Bm:] H 9ClMBm'5 H BD:_EM>BDl U 9l H Y29;:26_3C4#L J L HKJ L\3 UVH lMlM3CL H kBhE
(249) lbxIBhE\>E\>#B7lbBm:] 3L W 9;EMBD3C:, . ] Í ä , ä YEM> H : BmEb] 3C5D5m3RxOlb9Clb9C'23Rt H E\>9RE Æ [, ZZ È >#3C576#lS, A|> H . EM>_649C5 U 3C:2lE\L\9CBm:gEB7lsEM> H L H ] 3CL H x H 9Cr)5m(b] 3L U Bm:#f{9;:6+x H%W 9u(bEM> H : ß#k Ç ä EM3bBmE\lI5D3Rx H L|'234#:6 Ç ä ,
(250) Bm:9C5m5D(CY2BhE W 9u(+>9 JJ2H :_EM>9;EIEM> H . EM> 6429;5tR9;L\B79;'#5 H BDlOrg:3RxI:Y#Bo, H ,#EM>29RE ä É ä ,
(251) 3CL BD:lE
(252) 9;: UKH Y)Bm]tR9;L\BD9C'#5 H .{B7ls] L HSH 3L|B WbJ 5DB H 6] L HKH YgEM> H : ä É N É ä ,p. ]Y9C6#6#BhE\Bm3:9;5D5m(Y)x H 9;57lv3 >9ut H EM>9;E ä ÉÍ ä ä&3CL ä É Í ä ä YE\> H :EM> H . E\>649C5 U 3C:lvEML
(253) 9;BD:gEeBDl £#-¡g§#¥v¨Z Y#9C:6Y9Cl BD:`c HSU E\Bm3:=[, Z#, 2Y9;5D5tR9;L\BD9C'#5 H l|9;:6 W 4#5mEMB J 5DB H L\lO3 USU 4#L\BD:#fBD:=EM>#B7l U 3C:lvEML
(254) 9;BD:gE W 4lEO' H ß#k H 6 EM3{E\> H BDL&9 JJ LM3 J L\BD9;E H '234#:6+] 3CL|E\> HU 3:lE\L\9CBm:gEsEM3 ' H lM9;EMB7nl ß H 6,.
(255) P- 4. 97!$!./!. 7&0.. #". !9.. ):,).="8. #-7*=9&;#1*. =7< ,. . #1*9&0 !3< )* 0&. . ] Æ [,mPX È BDl: H BmEM> H L{Bm:] H 9ClMBm'5 H 3CL Æ x H 9;r)5D( È ] 3CL U BD:#fYpx HW 9u(CY 9lBD:c HU EMBD3C: [#,wZ, Y W 9;r H ] 4#LMEM> H L42l H 3;] ä 9C:6 ä Y)()B H 5D6#Bm:#f{: H x '234#:6#ls3C:EM> H tR9;L\BD9C'#5 H le3L W 4#5hE\B J 5mB H L
(256) lEM>9;E W 9u( EM> H :_' H 42l H 6] 3L J 3glMlMBm'5m(EMBDfC>gE H :#Bm:fE\> H ' H lvEO'234#:6#lIr):#3RxI:+] 3CL|E\> H l H ¼g49;:gEMBmEMB H lS, a 3C:lMB76 H LßL
(257) lEEM> H U 9l H xI> H L H ä Õ N#, » H%W 9u({EM> H :+6 H LMBDt H ] LM3 W EM> H 6 H ß2:#BhE\Bm3:3C] ä 9;:26 Æ [#,wZP È E\>9REY] 3CL " É P-,,-, Ý Y. ä Ì ã ä Æ. . È Íä. . . ä Íä. . È Íä. . . ä Íä. . xI> H :ã. ä,. N#Y#9;:26. xI> H :ã. ä. N#, #
(258) L\3 W E\> H l H E xs3{BD: H ¼429;5DBhE\B H lKYx H W 9u(EM> H :_6 H 64 UKH EM>9;E ä Í ä Bm]ã ä , N 9;:6 Õ ä ÜÍ ä Bm]ã ã ä ã ä. . . ä Ì ã ä Æ ). c)B W Bm579;L\5m(Yx H 9C5DlM3b3C'E
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