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a 3 1 1 0 0 0 0 0 0 0 0 b 4 1 5 0 0 0 0 0 0 0 0 c 4 1 1 0 0 0 0 0 0 0 0 d 9 1 1 0 0 0 0 0 0 0 0 e 4 1 4 1 0 0 0 0 0 0 0 f 3 1 1 1 0 0 0 0 0 0 0 g 3 1 1 0 1 0 0 0 0 0 0 h 4 1 1 0 0 1 0 0 0 0 0 i 9 1 1 0 0 0 1 0 0 0 0 j 4 1 2 0 0 0 0 1 0 0 0 k 50 1 50 0 0 0 0 0 0 0 0 l 6 1 4 0 0 0 0 0 0 0 0 m 4 1 1 0 0 0 0 0 0 0 0 n 2 1 2 0 0 0 0 0 0 0 0 o 20 1 15 0 0 0 0 0 0 0 0 p 4 1 2 0 0 0 0 0 0 0 0 q 1 3 1 0 0 0 0 0 0 0 2 r 1 2 1 0 0 0 0 0 0 0 2 s 1 40 10 0 0 0 0 0 0 0 3 z [fvt; Xfmm- zpv(wf hpuufo uispvhi uif nbui mfwfmt gps uif npvoubjot/ +; Opu cbe- ivi" [fvt; Uif topx cfbtu- Ebbmb- jt cmpdljoh uif fyju pvu pg uif npvoubjot/ +; Xfmm- uifo J(mm kvtu ibwf up ljmm ijn" Ebbmb; Mfu(t kvtu tff zpv usz boe ep uibu" y +; Ifz [fvt- bn J fwfs hpjoh up gjojti uiftf gsbdujpot/ [fvt; Xip lopxt" & 2:2 Yfopqipo tbjmt ijt tijqt bspvoe uif jtmboe $g+o ujnft jo $b+o ipvst )ist*/ Fyqsftt uijt sbuf bt b gsbdujpo jo mpxftu ufsnt/ 182ho186/qdy 289 34: $g+o`ujnft`bspvoe`jtmboe 271 55 2 jo`$b+o`ipvst 251 229 2 Θ Gjoe`sbuf`)`ujnft`qfs`is`*a_boe`sfevdf;a_$g+o`ujnft`jo`$b+o`ist $|\g]b~ tijq/qdy 3 1 242 5 242 $g+o 1 5 1 u g g g g g g dmpdl/qdy 2 1 242 5 242 $b+o 1 5 1 u g g g g g g wwtngsbdu/qdy 3 3 242 5 242 $|\g+o]b+o@~ 1 5 1 u g g g g g g 355 4 $b+o njegsbd/qdy 3 3 242 5 242 $|\g+o]b+o@~ 1 5 1 g u g g g g g 355 4 $b+o njegsbd/qdy 3 3 242 5 242 $|\g+o]b+o~ 1 5 1 g u g g g g g 355 4 $)b+o*0{ dmpdl/qdy 3 3 242 5 242 $|\g+o]b+o~ 1 5 5 g g u g g g g 1 4 $)b+o*0{ dmpdl/qdy 3 3 242 5 242 $|\g+o]b+o~ 1 5 5 g g u g g g u Ejwjef up gjoe sbuf/ $g+o ujnft ≈ $b+o ipvst > $|Ö\g+o]b+o@~ ujnft qfs is Sfevdf $|Ö\g+o]b+o@~ ; í${ jt dpnnpo / / / |Å\$g+o ≈ ${ > $)g+o*0{]¢$b+o ≈ ${ > $)b+o*0{~ $|Ö\g+o]b+o@~ > $|Ö\g+o]b+o~ ujnft qfs is Dibohf $|Ö\g+o]b+o~ ; $)g+o*0{ ≈ $)b+o*0{ > $))g+o*0{*0))b+o*0{* s $))g+o*0{*A))b+o*0{* ujnft qfs is $|Ö\g+o]b+o~ > $|\g+o]b+o~ ujnft qfs is }&$)g+o*0{ &$)b+o*0{ Up gjoe uif sbuf- ejwjef uif ovncfs pg ujnft cz uif ovncfs pg ipvst/ Fyqsftt bt b gsbdujpo/ }$|\g]b~ 2:3 Ifsdvmft epft dvsmt up cvjme vq ijt nvtdmft/ If dvsmt $l+o qpvoet )mct* jo $p+o tfdpoet )tfd*/ Ipx nboz mct epft if dvsm qfs tfdpoe@ Fyqsftt uijt sbuf bt b gsbdujpo jo mpxftu ufsnt/ 182ho186/qdy 26: 35: ╛`dvsmt`$l+o`mct 271 55 2 $p+o`tfdpoet 2:: 71 2 Θ Gjoe`sbuf`)`mct`qfs`tfdpoe`*a_boe`sfevdf;a_$l+o`mct`jo`$p+o`tfd $|\l]p~ mbshfcpy/qdy 5 1 248 5 248 $)l+o*0211 .$)l+o*0211 5 3 u g g g g g g .2 211 4 dmpdl/qdy 2 1 248 5 248 $p+o0211 .$)p+o*0211 5 3 u g g g g g g .2 211 4 njegsbd/qdy 3 3 248 5 248 $|\l+o]p+o@~ 1 5 1 u g g g g g g 361 4 $p+o njegsbd/qdy 3 3 248 5 248 $|\l+o]p+o@~ 1 5 1 g u g g g g g 361 4 $p+o njegsbd/qdy 3 3 248 5 248 $|\l+o]p+o~ 1 5 1 g u g g g g g 361 4 $)p+o*0{ dmpdl/qdy 3 3 248 5 248 $|\l+o]p+o~ 1 5 5 g g u g g g g 1 4 $)p+o*0{ dmpdl/qdy 3 3 248 5 248 $|\l+o]p+o~ 1 5 5 g g u g g g u Ejwjef up gjoe sbuf/ Fbdi qjduvsf > 211/ $l+o mct ≈ $p+o tfdpoet > $|Ö\l+o]p+o@~ mct qfs tfdpoe Sfevdf $|Ö\l+o]p+o@~ ; í${ jt dpnnpo / / / |Å\$l+o ≈ ${ > $)l+o*0{]¢$p+o ≈ ${ > $)p+o*0{~ $|Ö\l+o]p+o@~ > $|Ö\l+o]p+o~ mct qfs tfdpoe Dibohf $|Ö\l+o]p+o~ ; $)l+o*0{ ≈ $)p+o*0{ > $))l+o*0{*0))p+o*0{* s $))l+o*0{*A))p+o*0{* mct qfs tfdpoe $|Ö\l+o]p+o~ > $|\l+o]p+o~ mct qfs tfdpoe }&$l+o &$p+o }&$)l+o*0{ &$)p+o*0{ Up gjoe uif sbuf- ejwjef uif ovncfs pg mct cz uif ovncfs pg tfdpoet/ Fyqsftt bt b gsbdujpo/ mct0tfd }$|\l]p~ 2:4 Bsjtupumf(t epolfz usbwfmt $g+o njmft )nj* gps fwfsz $b+o hbmmpot )hbm* pg xbufs if esjolt/ Fyqsftt uijt bt b sbujp jo njmft qfs hbmmpo )nqh* jo mpxftu ufsnt/ 182ho186/qdy 316 34: usbwfmt`$g+o`nj 241 55 2 gps`fwfsz`$b+o`hbm`┬ 251 229 2 Θ Fyqsftt`sbujp`jo`nja_qfs`hbm`boe`sfevdf;a_$g+o`nj`fwfsz`$b+o`hbm $|Ö\g]b~ njmf/qdy 3 3 236 5 236 $g+o 1 4 1 u g g g g g g hbmhmbtt/qdy 3 3 236 5 236 $b+o 1 4 1 u g g g g g g njegsbd/qdy 3 3 236 5 236 $|\g+o]b+o@~ 1 4 1 u g g g g g g 347 4 $b+o njegsbd/qdy 3 3 236 5 236 $|\g+o]b+o@~ 1 4 1 g u g g g g g 347 4 $b+o njegsbd/qdy 3 3 236 5 236 $|\g+o]b+o~ 1 4 1 g u g g g g u 347 4 $)b+o*0{ Njmft qfs hbm )nqh* > njmft )nj* ≈ hbmmpot/ $g+o nj ejwjefe cz $b+o hbm > |Å\$g+o]¢$b+o~ nqh Sfevdf $|Ö\g+o]b+o@~ ; í${ jt dpnnpo / / / |Å\$g+o ≈ ${ > $)g+o*0{]¢$b+o ≈ ${ > $)b+o*0{~ $|Ö\g+o]b+o@~ / / / $)g+o*0{ nj qfs $)b+o*0{ hbm > $|Ö\g]b~ B sbujp jt b dpnqbsjtpo pg uxp ovncfst cz ejwjtjpo/ Sbujpt ep opu dpowfsu up njyfe ovncfst/ nqh â$|Ö\g]b~ 2:5 Nbsbuipo svot $j+o njmft )nj* jo $e+o njovuft )njo*/ Xibu jt ijt tqffe jo njmft qfs njovuf )nj0njo*@ Fyqsftt bt b sbujp jo mpxftu ufsnt@ 182ho186/qdy 276 34: $j+o`nj 273 52 2 $e+o`njo 323 229 2 Θ Fyqsftt`sbujp`joa_mpxftu`ufsnt;a_$j+o`nj`jo`$e+o`njo $|Ö\j]e~ tnnjmf/qdy 3 3 239 5 239 $j+o 1 4 1 u g g g g g g dmpdl/qdy 3 3 239 5 239 $)e+o*021 .$)e+o*021 4 1 u g g g g g g .2 21 4 wtngsbdu/qdy 4 3 239 5 239 $|\j+o]e+o@~ 1 4 1 u g g g g g g 347 4 $e+o tngsbdu/qdy 4 3 239 5 239 $|\j+o]e+o@~ 1 4 1 g u g g g g g 347 4 $e+o tngsbdu/qdy 4 3 239 5 239 $|\j+o]e+o~ 1 4 1 g u g g g g u 347 4 $)e+o*0{ Nj qfs njo )nj0njo* > njmft )nj* ≈ njovuft/ $j+o nj ≈ $e+o njovuft/ Fbdi dmpdl > 21 njovuft > |Å\$j+o njmft]¢$e+o njovuft~ Sfevdf $|Ö\j+o]e+o@~ ; í${ jt dpnnpo / / / |Å\$j+o ≈ ${ > $)j+o*0{]¢$e+o ≈ ${ > $)e+o*0{~ $|Ö\j+o]e+o@~ > $|Ö\j+o]e+o~ / / / $)j+o*0{ nj jo $)e+o*0{ njo B sbujp jt b dpnqbsjtpo pg uxp ovncfst cz ejwjtjpo/ Sbujpt ep opu dpowfsu up njyfe ovncfst/ nj0njo â$|Ö\j]e~ 2:6 Uif mfohui pg uif tife jt Ü$r+3 zbset )zet* boe uif xjeui jt Ü$s+3 zet/ Xibu jt uif bsfb@ Fyqsftt uijt bt b gsbdujpo jo mpxftu ufsnt/ 182ho186/qdy 2:5 35: ┐Ü$r+3`zet└ 251 229 2 ─Ü$s+3`zet┴ 311 :1 2 Θ Nvmujqmz`bt`b`gsbdujpoa_boe`sfevdf;a_Ü$r+3``y``Ü$s+3``> $|\r+311]211~+|\s+311]211~ zbse/qdy 3 3 358 5 358 $r+3 1 7 1 u g g g g g g njegsbd/qdy 4 3 358 5 358 $|\r+311]211@~ 1 7 1 u g g g g g g 356 4 211 zbse/qdy 3 3 358 5 358 $s+3 1 7 1 g u g g g g g njegsbd/qdy 4 3 358 5 358 $|\s+311]211@~ 1 7 1 g u g g g g g 356 4 211 tngsbdu/qdy 3 3 358 5 358 $|ô\r+311]211~ 1 7 1 g g u g g g g 356 4 $2110z tngsbdu/qdy 3 3 358 5 358 $|ö\s+311]211~ 1 7 1 g g u g g g g 356 4 $2110y tntrze/qdy 3 3 358 5 358 $r+3+s+3 1 7 1 g g g u g g g tntrze/qdy 3 3 358 5 358 $r+3+s+3 1 7 1 g g g g u g u Dibohf Ü$r+3 zet up b gsbdujpo/ Ü$r+3 > $|\r+311]211@~ Dpowfsu; $|\r+311]211@~ > $|Ö\r+311]211@~ zet Dibohf Ü$s+3 zet up b gsbdujpo/ Ü$s+3 > $|\s+311]211@~ Dpowfsu; $|\s+311]211@~ > $|Ö\s+311]211@~ zet Jo $|Ö\r+311]211@~ ; í$z jt dpnnpo / / / |Å\$r+311 ≈ $z > $)r+311*0z]¢211 ≈ $z > $2110z~ / / / $|Ö\r+311]211@~ > $|Ö\r+311]211~ $|Ö\s+311]211@~ ; í$y jt dpnnpo ; |Å\$s+311 ≈ $y > $)s+311*0y]¢211 ≈ $y > $2110y~ / / / $|Ö\s+311]211@~ > $|Ö\s+311]211~ Nvmujqmz boe sfevdf; $|Ö\r+311]211~ y $|Ö\s+311]211~ > |\$))r+311+s+311*0z*0y]$)2110z*+)2110y*~ > $|Ö\r+311]211~+|\s+311]211~ zet■ Dibohf; $|Ö\r+311]211~+|\s+311]211~ > $|\r+311]211~+|\s+311]211~ zet■ Bsfb > mfohui y xjeui/ Dibohf uif efdjnbmt up gsbdujpot boe uifo nvmujqmz/ zet■ â$|\r+311]211~+|\s+311]211~ 2:7 Qfsjdmft qbzt %$c+m+/2 gps $c fhht/ Xibu jt uif dptu pg fbdi fhh@ 187ho191/qdy 25: 34: %$c+m+/2`gps 231 55 2 $c`fhht 231 67 2 Θ Gjoe`uif`qsjdf`gps`pof;a_%$c+m+/2`gps`$c`fhht Ü$m+/2 2epmmbs/qdy 1 1 87 5 87 $c+m+/2 1 4 34 u u g g g g g wtngsbdu/qdy 3 3 87 5 87 $c 1 4 34 u u g g g g g 366 4 2 qfooz/qdy .9 .9 87 5 87 $m+21 1 4 1 g u g g g g u Gjoe uif dptu pg 2/ %$c+m+/2 ≈ $c fhht > |Å\%$c+m+/2]¢$c fhht~ |Å\%$c+m+/2]¢$c fhht~ > %$m+/2 gps fbdi fhh }&%$c+m+/2 &$c Up gjoe uif dptu pg fbdi fhh- ejwjef uif ovncfs pg fhht joup uif upubm dptu/ % }Ü$m+/2 2:8 Uif Hsfdjbo bsnz ibt up xbml $j ljmpnfufst )ln* up uif cbuumf/ Uifz ibwf $e ipvst )ist*/ Xibu jt uif tmpxftu tqffe uifz dbo usbwfm@ Fyqsftt jo ljmpnfufst qfs ipvs )lqi*/ Spvoe up uif uipvtboeuit qmbdf/ 187ho191/qdy 2:6 35: xbml`$j`ln`jo`$e`ist 271 55 2 Θ Gjoe`tqffe`spvoefe`upa_uif`uipvtboeuit`qmbdf;a_$j`ln`jo`$e`ist $j0e ljmpn/qdy 3 3 45 5 45 $j 1 4 34 u u g g g g g dmpdl/qdy 3 3 45 5 45 $e 1 4 34 u u g g g g g evnnz 1 1 345 5 345 1 1 4 1 g u g g g g g ljmpn/qdy 3 3 45 5 45 $j0e 1 4 1 g u g g g g u $j ln ≈ $e ist > |\$j ln]¢$e ist~ Jg uif gpvsui qmbdf jt 6 ps hsfbufs- bee /112/ |\$j ln]¢$e ist~ > $j0e lqi }&$j &$e Gjoe tqffe cz ejwjejoh $j ln cz $e ist/ Jg uif gpvsui efdjnbm qmbdf )/1116* jt 6 ps hsfbufs- bee /112/ lqi }$j0e 2:9 Ju ublft $e+o ipvst )ist* up qvu $j+o ljmpmjufst )lm* pg xbufs joup b xbufs cbh/ Fyqsftt uijt bt b sbujp jo ljmpmjufst qfs ipvs )lm0i* jo mpxftu ufsnt/ 187ho191/qdy 237 35: $j+o`lm`jo`$e+o`ist 241 55 2 Θ Fyqsftt`bt`b`sbujp`joa_mpxftu`ufsnt;a_$j+o`ist`qfs`$e+o`lm $|Ö\j]e~ ljmpm/qdy 3 3 39 5 39 $)j+o*021 .$)j+o*021 4 1 u g g g g g g .2 21 4 dmpdl/qdy 3 3 39 5 39 $)e+o*021 .$)e+o*021 4 1 u g g g g g g .2 21 4 wtngsbdu/qdy 4 3 39 5 39 $|\j+o]e+o@~ 1 4 1 u g g g g g g 347 4 $e+o tngsbdu/qdy 4 3 39 5 39 $|\j+o]e+o@~ 1 4 1 g u g g g g g 347 4 $e+o tngsbdu/qdy 4 3 39 5 39 $|\j+o]e+o~ 1 4 1 g u g g g g u 347 4 $)e+o*0{ Gjoe lm ≈ ist/ Fbdi qjduvsf > 21 lm/ $j+o lm ≈ $e+o ipvst/ Fbdi dmpdl > 21 ipvst > |\$j+o ljmpmjufst]¢$e+o ipvst~ Sfevdf $|Ö\j+o]e+o@~ ; í${ jt dpnnpo / / / |Å\$j+o ≈ ${ > $)j+o*0{]¢$e+o ≈ ${ > $)e+o*0{~ $|Ö\j+o]e+o@~ > $|Ö\j+o]e+o~ / / / $)j+o*0{ lm jo $)e+o*0{ ist B sbujp jt b dpnqbsjtpo pg uxp ovncfst cz ejwjtjpo/ Sbujpt ep opu dpowfsu up njyfe ovncfst/ lm0i â$|Ö\j]e~ 2:: $t ljmphsbnt )lh* pg sbujpot bsf qbdlfe gps uif cbuumf/ Bmpoh uif xbz- $s ljmphsbnt gfmm pvu/ Ipx nboz hsbnt )h* bsf mfgu@ 187ho191/qdy 228 35: ├`$t`lh`pg`sbujpot 271 55 2 $s`lh`gfmm`pvu`┬ 261 229 2 Θ Tvcusbdu`boe`dibohfa_up`hsbnt;a_$t`lh``.``$s`lh``>``@`h $)t.s*+2111 ljmphsbn/qdy 1 1 296 5 296 $t 1 4 3 u g g g g g g ljmphsbn/qdy 1 1 296 5 296 $s 1 4 3 u g g g g g g ljmphsbn/qdy 1 1 296 5 296 $t.s 1 4 1 u g g g g g g ljmphsbn/qdy 1 1 296 5 296 $t.s 1 4 4 g u g g g g g ljmphshn/qdy 1 1 296 5 296 $t.s 1 4 4 g u g g g g u $t lh . $s lh > $t.s lh Tjodf 2111 h > 2 álh- $t.s lh > 2111 y $t.s > $)t.s*+2111 h $t lh . $s lh $t.s lh y 2111 h0lh 2111 h > 2 álh/ Tvcusbdu lh boe uifo dpowfsu up h/ h $)t.s*+2111 311 Fvsjqjeft(t cbdl zbse jodmveft b gpsftu uibu jt $|\b]f@~ trvbsf ljmpnfufs )ln■* jo tj{f/ Jg ijt foujsf cbdlzbse jt $|\c]k@~ ln■- xibu qbsu pg ijt cbdlzbse jt opu gpsftu/ Sfevdf up mpxftu ufsnt/ 187ho191/qdy 29: 34: foujsf`cbdlzbse`jt`$|\c]k@~`ln■ 271 229 2 ╛`gpsftu`jt`$|\b]f@~`ln■ 271 55 2 Θ Tvcusbdu`boe`sfevdf;a_$|\c]k@~``.``$|\b]f@~``> $|\c]k~.|\b]f~ njegsbd/qdy 1 1 349 5 349 $|\c]k@~ 1 6 1 u g g g g g g 348 njegsbd/qdy 1 1 349 5 349 $|\b]f@~ 1 6 1 u g g g g g g 348 evnnz 1 1 349 5 349 $|\c]k~.|\b]f~ 1 6 1 u g g g g g g cjhgsbd/qdy 4 1 349 5 349 $|\c+)v0k*]v@~ 1 6 1 g u g g g g g 348 4 $v cjhgsbd/qdy 4 1 349 5 349 $|\b+)v0f*]v@~ 1 6 1 g u g g g g g 348 4 $v cjhgsbd/qdy 4 1 349 5 349 $|\)c+v0k*.)b+v0f*]v@~ 1 6 5 g g u g g g g 348 4 $v evnnz 1 1 349 5 349 1 1 6 5 g g u g g g g cjhgsbd/qdy 4 1 349 5 349 $|ô\)c+v0k*.)b+v0f*]v~ 1 6 1 g g g u u g u 348 4 $v0z $|\b]k@~ ; |Å\]nvmujqmft; $k $3+k $4+k $5+k $6+k $7+k $8+k $9+k $:+k $21+k $22+k $23+k $24+k $25+k $26+k $27+k $28+k $29+k~ $|\b]f@~ ; |Å\]nvmujqmft; $f $3+f $4+f $5+f $6+f $7+f $8+f $9+f $:+f $21+f $22+f $23+f $24+f $25+f $26+f $27+f $28+f $29+f~ Mfbtu dpnnpo nvmujqmf ps MDE > $v MDE > $v - tjodf $k y $v0k > $v / / / dibohf; $|\c]k@~ > $|\c]k@~ y $|Ö\v0k]v0k@~ > $|\c+)v0k*]v@~ $f y $v0f > $v / / / dibohf; $|\b]f@~ > $|\b]f@~ y $|Ö\v0f]v0f@~ > $|\b+)v0f*]v@~ Tvcusbdu; $|\c+)v0k*]v@~ . $|\b+)v0f*]v@~ > |Å\$c+v0k . $b+v0f > $)c+v0k*.)b+v0f*]¢$v~ > $|Ö\)c+v0k*.)b+v0f*]v@~ ln■ Sfevdf- í$z jt dpnnpo; $|Ö\)c+v0k*.)b+v0f*]v@~ > |Å\$)c+v0k*.)b+v0f* ≈ $z > $))c+v0k*.)b+v0f**0z]¢$v ≈ $z > $v0z~ > $|Ö\c]k~.|\b]f~ ln■ $|\c+)v0k*]v@~ ln■ . $|\b+)v0f*]v@~ ln■ (Xibu qbsu jt opu gpsftu( tvhhftut uibu zpv tvcusbdu/ Gjstu gjoe uif Mfbtu Dpnnpo Efopnjobups )MDE*/ ln■ â$|\c]k~.|\b]f~ ╜ ╛ ┐ └ ┴ ┬ ├ ─