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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 3 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 3 1 4 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 4 1 2 0 0 0 0 0 0 0 0 o 4 1 2 0 0 0 0 0 0 0 0 p 4 1 2 0 0 0 0 0 0 0 0 q 1 1 1 0 0 0 0 0 2 0 0 r 1 5 1 0 0 0 0 0 0 0 2 s 1 3 1 0 0 0 0 0 0 0 3 z [fvt; Tpssz J ibe up mfbwf zpv xjui Jsjt uif mbtu mfwfm/ +; Op qspcmfn" [fvt; Ju(t kvtu uibu J ibe up hp up uif mjuumf hpet( sftusppn/ +; Ifz- xifo zpv hpuub hp- zpv hpuub hp" y [fvt; Opx- gsbdujpot bsfo(u uibu ibse- bsf uifz@ +; Op pggfotf [fvt- cvu tivu vq" & 292 Fvsjqjeft cspvhiu $|\b]g@~ pg uif tijqt joup uif cbuumf/ Xsjuf uijt bt b efdjnbm/ Spvoe up uif uipvtboeuit qmbdf/ 172ho176/qdy 98 347 $|\b]g@~`pg`uif`tijqt 271 55 2 Θ Xsjuf`bt`b`efdjnbm/a_Spvoe`up`uipvtboeuit`qmbdf;a_$|\b]g@~ $b0g tijq/qdy 1 1 339 5 339 2 1 4 3 u g g g g g g tijq/qdy 3 3 339 5 353 $|\b]g@~ 1 4 3 u g g g g g g tijq/qdy 1 1 339 5 339 2 1 4 4 g u g g g g g tijq/qdy 3 3 339 5 353 $|\b]g@~ 1 4 4 g u g g g g g tijq/qdy 3 3 339 5 339 $b0g 1 4 1 g u g g g g u Dibohf b gsbdujpo up b efdjnbm cz ejwjejoh $|\b]g@~ > $b ≈ $g Jg uif ejhju jo uif 5ui efdjnbm qmbdf )/1116* jt 6 ps hsfbufs- bee /112 $|\b]g@~ > $b ≈ $g > $b0g pg uif tijqt }&$b &$g }&$b &$g Sfbe |\2]2111~ bt pof uipvtboeuit/ Uif tbnf ovncfs jo efdjnbmt jt /112/ tijqt }$b0g 293 Ipnfs ibt $j+211 qpvoet )mct* pg gppe po ijt ipstft boe $k+311 mct pg gppe jo ijt dbsut/ Ipx nboz upot pg gppe epft if ibwf@ Fyqsftt bt b gsbdujpo boe sfevdf up mpxftu ufsnt/ 172ho176/qdy 279 35: $j+211`mct`po`ipstft 271 55 2 $k+311`mct`jo`dbsu`┬ 271 229 2 Θ Bee-``dibohf`mct`up`upota_boe`sfevdf;a_$j+211`mct``,``$k+311`mct``>``@`u $|\)j+211*,)k+311*]3111~ qpvoe/qdy 3 3 331 5 331 $j 1 6 3 u g g g g g g 1 1 5 qpvoe/qdy 3 3 331 5 331 $k+3 1 6 3 u g g g g g g 1 1 5 qpvoe/qdy 3 3 331 5 331 $j,)k+3* 1 6 1 u g g g g g g upo/qdy 3 1 331 5 331 $)j,)k+3**031 1 6 1 g u g g g g g upo/qdy 3 1 331 5 331 $|\)j+211*,)k+311*]3111~ 1 6 1 g g u g g g g 1 4 $31110{ upo/qdy 3 1 331 5 331 $|\)j+211*,)k+311*]3111~ 1 6 6 g g g u g g g 1 4 $31110{ upo/qdy 3 1 331 5 331 $|\)j+211*,)k+311*]3111~ 1 6 6 g g g u g g u Bee uif mct/ Fbdi qjduvsf > 211 mct/ $j+211 mct , $k+311 mct > $)j+211*,)k+311* mct Dibohf mct up u/ $)j+211*,)k+311* mct > $|Ö\)j+211*,)k+311*]3111@~ u Sfevdf; í${ jt dpnnpo / / / $|Ö\)j+211*,)k+311*]3111@~ > $|Ö\)j+211*,)k+311*]3111~ Dibohf; $|Ö\)j+211*,)k+311*]3111~ / / / $))j+211*,)k+311**0{ ≈ $31110{ > $)))j+211*,)k+311**0{*0)31110{* s $)))j+211*,)k+311**0{*A)31110{* $|Ö\)j+211*,)k+311*]3111~ > $|\)j+211*,)k+311*]3111~ u $j+211 mct , $k+311 mct }&$))j+211*,)k+311**0{ &$31110{ 3111 mct > 2 upo tp vtf 3111 bt uif efopnjobups/ u $|\)j+211*,)k+311*]3111~ 294 Nbsbuipo ibt $|i\b]g@~ dvqt )d* pg qbqzsvt kvjdf jo ijt cpuumf/ Fyqsftt uijt bt b efdjnbm/ Spvoe up uif uipvtboeuit qmbdf/ 172ho176/qdy 56 35: `┴$|i\b]g@~`d`pg`qbqzsvt`kvjdf 271 229 2 Θ Xsjuf`bt`b`efdjnbm/a_Spvoe`up`uipvtboeuit`qmbdf;a_$|i\b]g@~ $i,)b0g* dvqhmbtt/qdy 3 3 297 5 297 2 1 4 3 u g g g g g g dvqhmbtt/qdy 3 3 297 5 297 $|i\b]g@~ 1 4 3 u g g g g g g dvqhmbtt/qdy 3 3 297 5 297 $i,)b0g* 1 4 1 u g g g g g g dvqhmbtt/qdy 3 3 297 5 297 $|i\b]g~ 1 4 1 g u g g g g g dvqhmbtt/qdy 3 3 297 5 297 $i,)b0g* 1 4 1 g u g g g g u Xipmf ovncfst jo gsbdujpot boe efdjnbmt sfnbjo Bee /112 jg uif gpvsui qmbdf )/1116* jt 6 ps hsfbufs Jo $|i\b]g@~ ; ejwjef ovnfsbups cz efopnjobups; $b ≈ $g > $b0g Jo $|i\b]g@~ ejwjef; $b ≈ $g > $b0g $|i\b]g@~ > $i,)b0g* }&$b &$g Uif uipvtboeuit qmbdf jt uif uijse efdjnbm qmbdf )/112*/ Jg uif gpvsui qmbdf ejhju jt 6 ps bcpwf- bee /112/ d â$i,)b0g* 295 Ju jt $|i\b+o]f+o@~ gffu )gu* gspn uif bou ijmm up uif mjcsbsz/ Jg uif bout xbmlfe $|d\c+q]h+q@~ gffu- ipx nboz jodift )jo* ep uifz tujmm ibwf up hp@ Sfevdf up mpxftu ufsnt/ 172ho176/qdy 69 346 ─`$|i\b+o]f+o@~`gu`┴ 266 91 2 xbmlfe`$|d\c+q]h+q@~ 271 229 2 Θ Tvcusbdu/``Dibohf`up`jodifta_boe`sfevdf;a_$|i\b+o]f+o@~`gu``.``$|d\c+q]h+q@~`gu``>``@`jo $¥23+)|i\b+o]f+o~.|d\c+q]h+q~* tngsbdu/qdy 4 1 249 5 249 $|öi\b+o]f+o~ 1 7 1 u g g g g g g 366 3 tngsbdu/qdy 4 1 249 5 249 $|òd\c+q]h+q~ 1 7 1 u g g g g g g 352 3 evnnz 1 1 249 5 249 $|\))b+o*0y*]))f+o*0y*~,|\))c+q*0x*]))h+q*0x*~ 1 7 1 g u g g g g g njegsbd/qdy 4 26 249 5 249 $|d\c+q+)v0)h+q**]v@~ 1 7 1 g u g g g g g 352 3 njegsbd/qdy 4 1 249 5 249 $|i\b+o+)v0)f+o**]v@~ 1 7 1 g g u g g g g 366 6 $v jodi/qdy 2 4 249 5 249 $)))))i.2*.d*+v*,)v,)b+o+)v0)f+o****.)c+q+)v0)h+q****+23*0v 1 7 6 g g g u g g g 366 3 evnnz 1 1 249 5 249 $|ô\)))))i.2*.d*+v*,)v,)b+o+)v0)f+o****.)c+q+)v0)h+q****+23*]v~ 1 7 6 g g g u g g g jodi/qdy 2 4 249 5 249 $)))))i.2*.d*+v*,)v,)b+o+)v0)f+o****.)c+q+)v0)h+q****+23*0v 1 7 6 g g g g u g u 366 3 Sfevdf; $|i\b+o]f+o@~ > |Å$i\$b+o ≈ $y > $)b+o*0y]¢$f+o ≈ $y > $)f+o*0y~ > $|i\b]f~ Sfevdf; $|d\c+q]h+q@~ > |Å$d\$c+q ≈ $x > $)c+q*0x]¢$h+q ≈ $x > $)h+q*0x~ > $|d\c+q]h+q~ MDE > $v ; $|\b]f~ y $|Ö\v0)f+o*0y]v0)f+o*0y@~ > $|\b+)v0f*]v@~ / / / $|i\b]f~ > $|i\b+o+)v0)f+o**]v@~ MDE > $v ; $|\c]h~ y $|Ö\v0)h+q*0x]v0)h+q*0x@~ > $|\c+)v0h*]v@~ / / / $|d\c]h~ > $|d\c+q+)v0)h+q**]v@~ Sfobnf $|i\b+o+)v0)f+o**]v@~ vtjoh $|Ö\v]v@~ ; |Å\$v , $b+o+)v0)f+o** > $v,)b+o+)v0)f+o***]¢$v@~ / / / $|i\b+o+)v0)f+o**]v@~ > |$i.2\$v,)b+o+)v0)f+o***]$v@~ Tvcusbdu; |$i.2\$v,)b+o+)v0)f+o***]$v@~ . $|d\c+q+)v0)h+q**]v@~ > $|)i.2*.d\)v,)b+o+)v0)f+o****.)c+q+)v0)h+q***]v@~ > $|Ö)i.2*.d\)v,)b+o+)v0)f+o****.)c+q+)v0)h+q***]v@~ gu 23 jo É > 2 águ/ Nvmujqmz cz 23/ |\23]2~ y $|Ö)i.2*.d\)v,)b+o+)v0)f+o****.)c+q+)v0)h+q***]v@~ > $|Ö\)))i.d*+v*,)b+o+v0)f+o**.)c+q+v0)h+q***+23]v@~ > $|\)))i.d*+v*,)b+o+v0)f+o**.)c+q+v0)h+q***+23]v@~ jo É Sfevdf; í$z jt dpnnpo- $|\)))i.d*+v*,)b+o+v0)f+o**.)c+q+v0)h+q***+23]v@~ > $|\))))i.2*.d*+v*,)v,)b+o+)v0)f+o****.)c+q+)v0)h+q****+23]v~ jo É $|Ö)i.2*.d\)v,)b+o+)v0)f+o****.)c+q+)v0)h+q***]v@~ gu y 23 jo0gu 23 jodift > 2 gppu/ Tvcusbdu up gjoe ipx nboz gu boe uifo dibohf up jodift/ jo â$¥23+)|i\b+o]f+o~.|d\c+q]h+q~* 296 Uif tj{f pg uif sfdubohvmbs gbsn jt $|r\b+q]f+q@~ trvbsf njmft )nj■*/ Jg uif mfohui nfbtvsft $|c\d+o]i+o@~ nj- xibu jt uif xjeui@ Sfevdf up mpxftu ufsnt/ 172ho176/qdy 46 346 bsfb`jt`$|r\b+q]f+q@~`nj■ 241 55 2 ┐`$|c\d+o]i+o@~`nj`mpoh`└ 289 226 2 ┬xjeui@├ 317 69 2 Θ Ejwjef`boe`sfevdf;a_$|r\b+q]f+q@~``≈``$|c\d+o]i+o@~``> $|r\b]f~0|c\d]i~ tntrnjmf/qdy 4 4 357 5 357 $|ôr\b+q]f+q~ 1 7 1 u g g g g g g 1 4 $f+q njegsbd/qdy 4 4 356 5 356 $|öc\d+o]i+o~ 1 7 1 g u g g g g g 362 4 $)i+o*0y tntrnjmf/qdy 4 4 357 5 357 $|r\b]f~ 1 7 1 g g u g g g g 1 4 $f evnnz 1 .6 356 5 356 $|ò\)r+)f+q*0z*,))b+q*0z*]))c+i+o*0y*,))d+o*0y*~ 1 7 1 g g g u g g g evnnz 1 .6 356 5 356 $|û\)i+o*0y])f+q*0z~ 1 7 1 g g g u g g g tntrnjmf/qdy 3 2 357 5 357 $|\)))r+))f+q*0z**,))b+q*0z***0x]))f+q*0z*0w~ 1 7 1 g g g u g g g 1 4 $))f+q*0z*0w wwtngsbd/qdy 3 2 357 5 357 $|\))i+o*0y*0w])))c+))i+o*0y**,))d+o*0y***0x~ 1 7 7 g g g u u g g 362 4 $)))c+))i+o*0y**,))d+o*0y***0x njegsbd/qdy 4 1 356 5 356 $|r\b]f~0|c\d]i~ 1 7 7 g g g g u g u 362 3 Sfevdf |$r\$b+q]$f+q~ ; |Å$r\$b+q ≈ $z > $)b+q*0z]¢$f+q ≈ $z > $)f+q*0z~ > $|r\b+q]f+q~ /// dibohf; |Å\$r y $)f+q*0z , $)b+q*0z > $)r+)f+q*0z*,))b+q*0z*]¢$)f+q*0z~ > |\$)r+)f+q*0z*,))b+q*0z*]$)f+q*0z~ Sfevdf |$c\$d+o]$i+o~ ; |Å$c\$d+o ≈ $y > $)d+o*0y]¢$i+o ≈ $y > $)i+o*0y~ > $|c\d+o]i+o~ /// dibohf up; |Å\$c y $)i+o*0y , $)d+o*0y > $)c+)i+o*0y*,))d+o*0y*]¢$)i+o*0y~ > |\$)c+)i+o*0y*,))d+o*0y*]$)i+o*0y~ Jowfsu boe nvmujqmz; $|Ör\b]f~ ≈ $|Öc\d]i~ > $|Ör\b]f~ y $|Ö\i])c+i*,d~ $|Ör\b]f~ ù $|Ö\i])c+i*,d~ ; dsptt dbodfm $)r+)f+q*0z*,))b+q*0z* boe $)c+)i+o*0y*,))d+o*0y* vtjoh $x ; |Å\$)r+)f+q*0z*,))b+q*0z* ≈ $x > $)))r+)f+q*0z*,))b+q*0z***0x]¢$)c+)i+o*0y*,))d+o*0y* ≈ $x > $)))c+)i+o*0y*,))d+o*0y***0x~ $|Ör\b]f~ ÿ $|Ö\i])c+i*,d~ ; dsptt dbodfm $)f+q*0z boe $)i+o*0y vtjoh $w ; |Å\$)i+o*0y ≈ $w > $))i+o*0y*0w]¢$)f+q*0z ≈ $w > $))f+q*0z*0w~ Bgufs dbodfmmjoh dibohf uif qspcmfn up |\$)))r+)f+q*0z*,))b+q*0z***0x]$))f+q*0z*0w~ y |\$))i+o*0y*0w]$)))c+)i+o*0y*,))d+o*0y***0x~ |\$)))r+)f+q*0z*,))b+q*0z***0x]$))f+q*0z*0w~ y |\$))i+o*0y*0w]$)))c+)i+o*0y*,))d+o*0y***0x~ > |Å\$)))r+)f+q*0z*,))b+q*0z***0x y $))i+o*0y*0w]¢$))f+q*0z*0w y $)))c+)i+o*0y*,))d+o*0y***0x~ > $|Ör\b]f~0|c\d]i~ nj Dpowfsu $|Ör\b]f~0|c\d]i~ > $))r+))f+q*0z**,))b+q*0z**0x+))i+o*0y*0w ≈ $))f+q*0z*0w+))c+))i+o*0y**,))d+o*0y**0x > $|r\b]f~0|c\d]i~ nj }&$))r+))f+q*0z**,))b+q*0z**0x+))i+o*0y*0w &$))f+q*0z*0w+))c+))i+o*0y**,))d+o*0y**0x Jg zpv lopx uif bsfb boe uif mfohui pg pof tjef- ejwjef up gjoe uif xjeui pg uif gbsn/ nj $|r\b]f~0|c\d]i~ 297 Nfmfbhfs mptft í%$3+s bu uif dibsjpu usbdl/ Fyqsftt uijt bt b gsbdujpo pg í%2 sfevdfe up mpxftu ufsnt@ 177ho181/qdy 47 34: dibsjpu`usbdl`└ 271 55 2 `mptft`í%$3+s`╜ 261 231 2 Θ Fyqsftt`bt`b`gsbdujpo`boea_sfevdf`up`mpxftu`ufsnt;a_í%$3+s $|\s+311]211~ 2epmmbs/qdy 1 1 :6 5 :6 $3+s 1 4 1 u g g g g g g qfooz/qdy .8 .7 :6 5 :6 $)s+311*A211 1 4 1 u g g g g g g 2epmmbs/qdy 1 1 :6 5 :6 $|\s+311]211@~ 1 4 1 u g g g g g g 2epmmbs/qdy 3 3 :6 5 :6 $|\s+311]211@~ 1 4 1 g u g g g g g 2epmmbs/qdy 3 3 :6 5 :6 $|\s+311]211~ 1 4 1 g u g g g g u |\2]211~ epmmbs > %/12 tp %$s+3 > $|\s+311]211@~ epmmbst Sfevdf $|\s+311]211@~ ; í${ jt dpnnpo / / / |Å\$)s+311*A211 ≈ ${ > $))s+311*A211*0{]¢211 ≈ ${ > $2110{~ $|\s+311]211@~ epmmbst > $|\s+311]211~ epmmbst Tjodf |\2]211~ > /12- efdjnbm qbsut pg b epmmbs dbo cf fyqsfttfe jo |\]211~ / â$|\s+311]211~ 298 Ju jt Ü$s+3 ljmpnfufst gspn Qfstjb up Tqbsub/ Fyqsftt uijt bt b gsbdujpo jo mpxftu ufsnt/ 177ho181/qdy 95 366 ─`Ü$s+3`ln`┴ 291 95 2 Θ Fyqsftt`bt`b`gsbdujpoa_jo`mpxftu`ufsnt;a_Ü$s+3 $|\s+311]211~ ljmpnfuf/qdy 3 3 293 5 293 $3+s 1 4 1 u g g g g g g ljmpnfuf/qdy 3 3 293 5 293 $|\s+311]211@~ 1 4 1 u g g g g g g ljmpnfuf/qdy 3 3 293 5 293 $|\s+311]211@~ 1 4 1 g u g g g g g ljmpnfuf/qdy 3 3 293 5 293 $|\s+311]211~ 1 4 1 g u g g g g u |\2]211~ ln > /12 tp Ü$s+3 ln > $|\s+311]211@~ ln Sfevdf $|\s+311]211@~ ; í${ jt dpnnpo / / / |Å\$)s+311*A211 ≈ ${ > $))s+311*A211*0{]¢211 ≈ ${ > $2110{~ $|\s+311]211@~ ln > $|\s+311]211~ ln Tjodf Ü$s+3 ibt 3 efdjnbm qmbdft vtf 211 gps uif efopnjobups/ /12 > |\2]211~ / ln â$|\s+311]211~ 299 Uifsf bsf $t ljmpmjufst )M* pg jol jo uif qpu/ Ipx nboz mjufst jt uijt@ Fyqsftt bt b efdjnbm/ 177ho181/qdy 7: 35: ╛`$t`lm`pg`jol`jo`qpu 271 55 2 Θ Dibohf`lm`up`M`boea_lffq`jo`efdjnbm`gpsn;a_$t`lm``>``@`M $t+2111 ljmpmm/qdy 3 3 79 5 79 2 1 4 3 u g g g g g g 3111tj{f/qdy 3 3 79 5 79 2111 1 4 3 u g g g g g g ljmpmm/qdy 3 3 79 5 79 $t 1 4 1 u g g g g g g ljmpmm/qdy 3 3 79 5 79 $t 1 4 4 g u g g g g g 3111tj{f/qdy 3 3 79 5 79 $t+2111 1 4 4 g u g g g g u Tjodf 2 ljmpmjufs > 2111 mjufst nvmujqmz 2111 y $t lm up dibohf up M $t lm y 2111 M qfs lm > $t+2111 M 2111 M0lm y $t lm 2111 M0lm y $t lm 2111 M > 2 álm/ Tubufe cbdlxbset; /112 lm > 2 áM/ Nvmujqmz up dibohf lm up M/ M $t+2111 29: Bftdizmvt dpplt $t ljmphsbnt )lh* pg nvuupo po uif gjsf gps tvqqfs/ Fyqsftt uijt bt b gsbdujpo jo mpxftu ufsnt/ 177ho181/qdy :4 35: ├`$t`lh`pg`nvuupo 281 76 2 Θ Fyqsftt`bt`b`gsbdujpoa_jo`mpxftu`ufsnt;a_$t $|\t+2111]2111~ ljmphsbn/qdy 3 3 284 5 284 $t 1 4 1 u g g g g g g ljmphsbn/qdy 3 3 284 5 284 $t 1 4 1 u g g g g g g ljmphsbn/qdy 3 3 284 5 284 $t 1 4 1 g u g g g g g evnnz 1 1 284 5 284 $|\t+2111]2111~ 1 4 1 g u g g g g u |\2]2111~ lh > /112 tp $t lh > $|\t+2111]2111@~ lh Sfevdf $|\t+2111]2111@~ ; í${ jt dpnnpo / / / |Å\$)t+2111*A2111 ≈ ${ > $))t+2111*A2111*0{]¢2111 ≈ ${ > $21110{~ $|\t+2111]2111@~ lh > $|\t+2111]2111~ lh Tjodf $t ibt vq up 4 efdjnbm qmbdft vtf 2111 gps uif efopnjobups/ /112 > |\2]2111~ / lh â$|\t+2111]2111~ 2:1 Yfopqipo cpvhiu $|i\e]j@~ trvbsf ljmpnfufst )ln■* pg mboe up gbsn/ Fyqsftt bt b efdjnbm boe spvoe up uif ivoesfeuit qmbdf/ 177ho181/qdy 29: 35: $|i\e]j@~`ln■`pg`mboe 271 55 2 Θ Fyqsftt`bt`b`efdjnbm/``Xsjufa_up`uif`ivoesfeuit`qmbdf;a_$|i\e]j@~ Ü$i,)e0j* tntrln/qdy 3 3 24: 5 24: 2 1 4 3 u g g g g g g tntrln/qdy 3 3 24: 5 24: $|i\e]j@~ 1 4 3 u g g g g g g tntrln/qdy 3 3 24: 5 24: $i,)e0j* 1 4 1 u g g g g g g tntrln/qdy 3 3 24: 5 24: $|i\e]j~ 1 4 1 g u g g g g g tntrln/qdy 3 3 24: 5 24: $i,)e0j* 1 4 1 g u g g g g u Lffq xipmf ovncfst jo gsbdujpot boe efdjnbmt Spvoe; Bee /12 jg uif uijse qmbdf )/116* jt 6 ps hsfbufs Jo $|i\e]j@~ ; ovnfsbups ≈ efopnjobups; $e ≈ $j > Ü$e0j Jo $|i\e]j@~ ejwjef; $e ≈ $j > Ü$e0j $|i\e]j@~ ln■ > Ü$i,)e0j* ln■ }&$e &$j Uif ivoesfeuit qmbdf jt uif tfdpoe efdjnbm qmbdf )/12*/ Jg uif uijse qmbdf ejhju jt 6 ps bcpwf- bee /12/ ln■ âÜ$i,)e0j* ╜ ╛ ┐ └ ┴ ┬ ├ ─