• Non ci sono risultati.

Alcuni metodi risolutivi per la Programmazione Multiobiettivo

N/A
N/A
Protected

Academic year: 2021

Condividi "Alcuni metodi risolutivi per la Programmazione Multiobiettivo"

Copied!
88
0
0

Testo completo

(1)

(2)       !#"$%&'"(  )"(* + ,  -   . 1/ 032547698;:=<?>@:A4 B?CED 4F8#G5HJI C?CFK.

(3) LNM O PRQTS UWV.hjikhm XZY[]\lo^`n`_p5qsruab\?tc;vj[waewxrkt.d'rufFyz\[wx{}|~n€rk{jp`rul‚v„ƒyq{'{jqxqr~t.yiRii(iiiRiiRiiRiiiRi g hji‡†‰ˆy;Šp`rkŠŒ‹€yR`rŽŠvj|kvjƒsrk#v„;r~{}p`yiRiiRiiiRiiRii(iiiRiiRiiRiiiRi‘h}h ’”“R†ikXZhWfF•FŽbXZ{}^`|~_ n€_ rk{j^€p`–jru[]y#f—w¡\qƒsay;t¢˜y[]\l‚a5vj^`ƒsX™yaeqs{£šœ{jqx›q]r~t.c;[@ž„yXZyz[Ÿc#wsa}{jXZ|k[@n`f rk{jp`rup€{jp+{jt.rkp€vZqy¤iiiRi¥’€†j ¦ †i‡†‰§¨yqs{{y;|Žbrkt¢©€|~y#wsws{§¨n`|~qsrªŠƒr«qyƒr~{NiiRiiRii(iiiRiiRiiRiiiRi¥†}† †i ¬ ­{}p€rkrk{jp`ru©—yƒ1®}yƒr«¯FŠ;v„ƒy9|ªv.l‚v„ƒyq{'{jqxqsrktv„|kr«qZv± ° iiiRiiRiiRiiiRi¥†}² †i ³ ­{}p`p`y;wwsr~{}p`y(`y|k|@´ r~pFwxrkyt.yzµ'¶¡·¸i¶¡iR· iiiRiiRii(iiiRiiRiiRiiiRi¥†j¹ †i‡²‰§¨yqs{{.©—yƒ1ºjy;p`yƒŒv„ƒy(|@´ r~pFwxrkyt.yzµ iiRiiRii(iiiRiiRiiRiiiRi¥†j» †i ¹ ¼9y;Š{jt.©F{5wxrkrk{jp€y(y;|~|=´ r~p€wsrkyt.yzyr½©€v„ƒŒv„t.yqƒsr¾ii(iiiRiiRiiRiiiRi¿¬}¦ †iÁÀÂloƒs{}ºjƒŒv„t.tv„rk{jp€y¾Ãrkp`y;vjƒsy(ÄÅp5qsy;ƒv.§¨n`|~qsrk{jƀr~yqxqsrk®j{ÇiiRiiRiiRiiiRi¿¬}¦ Èšœ¬`ikhm a5c;f½§¨Yyfqs{Yab{@]a+y;|½_ Ša5ƒr«cqXZy[]ƒž™r~É{¢a+ºj|kÊo{jÆFabv„Ë;|k^`y”c;a iRiiRiiiRiiRii(iiiRiiRiiRiiiRi¿ÈF¬}Ì» ¬`i‡†‰§¨yqs{{y;|~|kyt.yqsƒrªŠŒ‹`yR©Fy#wsv„qsyÍiiRiiiRiiRii(iiiRiiRiiRiiiRiγFh ¬€i †`i~h Ïvjƒsrªv„p5qsr`y|½loƒs{}Æ`|~y;tv'rˆ1ŠŒ‹`yÆbЏŠŒ‹`yѨ©—y;wvZq{ iRiiRiiiRiγ}³ Ò ³€Ó ikhm f—^`Õ¾“R©`XZ©`f—ƒ{b•€Š;XZŠ^`rk_E{¢Õ¾_ ƒ[]ŠŒ\‹€• r~t.y;`y{Öii(iiRiiRiiiRiiRii(iiiRiiRiiRiiiRiÎÒ?³5Ô» ³€i‡†‰Õ¾©`©`ƒ{bŠ;Šrk{¢Ã½y;wwxrªŠ{}ºjƒŒvZ¯FŠ{×i(iiRiiRiiiRiiRii(iiiRiiRiiRiiiRiγ5 ؔÙÚ²ikhm ÊÊX™Ý€f—{jË#ƒË;t£[@_ n`|ª^`v„;–jr~[@{}fFp`\y(a `Yy|uab©`]xƒÛ~{j[@\Æ`Ë#|ky[]tab_ v‰aÚiRYabi]@iRa iË#if—]iR›i–j[]iRf—\ii(\ifFi\ÜiRYifFiR_Ei[]\iR^ic;a iiRi¥ØF²}ز ²i‡†‰Õ¾²`i ©`†`©`i~h ƒ{}wwxÕ¾rkt©`©`v„ƒ{}rk{jwwxp€rky¾tp`v„y;|½rk{jŠp€v}y9wx{rkp5Šqs{}ypbƒp€®jy;v+wwsiR{TiiiiRiRiiiRiRiii(i(iiiiiRiRiiiRiRiiiRiRiiiiiRiRi¥ i¥²j²j» ²`i †`i † Õ¾©`©`ƒ{}wwxrktv„rk{jp€y9y#w¡qyƒp€vÚiRiiiRiiRii(iiiRiiRiiRiiiRi¿¹j³ ²`i †`i ¬ Õ¾©`©`ƒ{}wwxrktv„rk{jp€y(wsr~t'n`|~qv„p€y;v.iiRiiRii(iiiRiiRiiRiiiRi¿¹bÀ ²i ¬ Õ¾©`©`ƒ{}wwxrktv„rk{jp€y¾p`y;|½Šv}wx{.p`{}p Š{jpb®jy#wsws{iiRii(iiiRiiRiiRiiiRi¿¹}» ²`i ¬€i~h Õ¾©`©`ƒ{}wwxrktv„rk{jp€y9rkp5qsyƒp€v+iRiiiRiiRii(iiiRiiRiiRiiiRi¿¹}» iÞÀ„ÀZ³» ²i ³ Õ¾²`i ©`¬€©`i † |krkŠ;v„Õ¾rk©`{j©`p€ƒyR{}vjwwx|rktŠv}v„wx{.rk{jp€rªwsy9Šƒsy#yw¡qsq{yƒp€vÚiiRiRiiiiiRiRiiiRiRiii(i(iiiiiRiRiiiRiRiiiRiRiiiiiRiRiÞ. h.

(4) LNMàß!áãâ”O ä å¤P9âàM S. æ ºjp€r}y#wswsyƒyn€t.vjp`{(p`y|Š{}ƒws{9`y|k|kv(©`ƒ{j©`ƒrªvç®br«qŒv¾‹Fv9{Z®bnq{(v„Ñ—ƒ{jp5qŒv„ƒy©`rxn¢° rn€p ©`ƒ{jÆ`|kytv y;Šrkwsrk{jp€vj|~y}è½v„|ªŠn`p€rwxr‚Š{}t.©F{}ƒxqŒv„p`{ r~pt.{{+rkwxqsrkp5qsrk®j{€é?qƒvjyp€`{ Š{jp€Š|~nê ws`r~v.{}p`ë5rn`wxyy;|kp`|kru;¯Fvwwswsyv„º}qsr=n`érkƒst.yRv€v„é`|ªŠrkpn`pFº}v.yp`|~{}y;ƒºjvjrªŠ|~y}v'éby;` {j©—{„{Úqsqsv™yp€®jyyƒìp€Š{Fvj©`é`r~t.qs{{j|~ë5qsn€{v„ws|k©Fyzy#wxwsrªwsv'{€|@é`´ r~ƒpFrªwxwxn`rky|~qt.v„yzqsry;r~|~Ñ?|kyyƒ©Fy{5p5w¡qsêr wsr~Æ`rk|kríws{j|kn`rk{jp€r@邍yqxqs{Jîðï`ñî]òó.ò¨ô„ó'ó¢îªñŒñî]õîðö~òéo|=´ {jÆ`rkyqsqsrk®j{ y ° ë5n`y|k|~{÷ríwŠy;ºj|kr~y;ƒsyÚqsƒŒv ë5n`y;wxqsyÚë5n`y;|~|ªvøó¢î«ù„öÁî]ú„ûsòiü§üv¨Š{5wsv ®bn`{j|r~ƒyt.r~º}|~rk{jƒy#ýã­yƒŒŠvjp€{ qvj|~y©€v„ƒ{j|ªvwsn`| ®j{Š;v„Æ—{j|ªv„ƒr~{©—{}wwxrªv„t.{qsƒ{Z®™vjƒsy}þì©`rxn÷° nqsrk|kyjéu®Zv„p5qvjºjº}r~{5wx{F逩`ƒ{„¯FŠn`{€é?Š{}t.{b`{y;Š;Šyqsyê ƒŒn`v`p€éuveŠ{}wx{}pe|~n`ƒ;r«ÿŸr~y;{}ƒsp`rkt.yyt.p5r~qsº}{ |~rk{jvƒyë5n€ƒvjrkws|~r~©Fq™yv€° qxéuq{e®™vjv„|~{}|k|~ƒsyÚrt.vj|«q{jƒsƒŒyv„|kr{jy¢Æ`rkƀp}rkqvjyt¢|k|~y{üqxqv™n€®}v„y|kƒr@i ©`9nƒrkt.`r~vepFwxr@©—éuy;©—Šyr«¯FƒzŠ;`vZyq¯€{üp`rkƒyy r ûî Aòûîí`r½®Zv„|knqvjrk{jp`y}ií§ü{j|~qsr½©€ƒs{}Æ`|~y;t.r½ƒy;v„|kr©—{}wwx{}p`{.y;wwxy;ƒsyRÿŸ{}ƒst'n`|ªvZqsrŠ{jt.y©`ƒ{„ê Æ`v„ t.|kyt.t.rrªwswsr~r ƀær~|kyjqsé—qsrkŠt.rk{€r~;y° ;v„v„©€;©€r~{}v„p`ƒsyjqsy;éup`rkpøyp5Šqsn`yzr‚vj|ª|~v|=´ r~p€wsï rkyt.î]úZy£ï?òv„t.újõt.î]ò rª ws=wsîr~

(5) ™Æ€úür~|kyjvjéFwn`wx{p¨Šrª®Zvv„|kv}{jeƒy{}p5ºjn€p`t¢r‚wsy;{jƒs|krªn`Š{ځrk{jŠŒ‹€p€yy Š{}ƒsƒrªwx©—{jp€`y¾v„|k|kv¢Š{}pb®jyp€r~y;p`;vz`r?ë5n`y#w¡qŒv'wsy;Š{jp€`{£ruŠƒr«qyƒr€¯—wswvZqr@i‚ô rkp€wxrkyt.yRr—qvj|~r ®Zv„|k{jƒrpbn`t.y;ƒsrªŠry.° yqsqs{÷ ñ €ô î]ú+îðó¢óôùjîðï—òi.­{jpFwxrªyƒrªv„t.{Ú|=´ y#wxy;t¢©€r~{+r3n`p€v r~qxqv ŠŒ‹`y1y;Æ`ƀv9qsƒŒvjws©F{}ƒxqŒv„ƒyon`p.ŠvjƒsrªŠ{Rrt.yƒŒŠy1`v(n`pFv(Šr«qsq™vR° vj'n`p´ v„|~qsƒŒv(Š{jp¢|=´ {}Æ`r~yqxqr~®}{ Š{5r?w¡t.qr«r~qp€n`r~r~t.qs{zrk`;vjvjr€ƒsy9©—{}r~|uwwxŠrk{}Æ`wxrkqs|~r`{£©—yy;ƒŒ|—Š{}qsƒŒƒvjwsr€ws©Fwsn{}ƒxŠqn`{€rFè}`r~pb{j®b©—rkvj{¢ƒsv™yì®}|ªyvRƒot.Š{}ywxƒŒqsŠƒyjn`é5r«vjq{£wwx|={´ Šrkp€rkvRwsr~vjy;t..y({}ºjvjpbt¢n`t.p`{rªwswsrkrFÆ`y;r~w|kyjwxré n`p Š{}wxqs{F鏊rk{€yç° |ªv£ë5n€vjp5qsr~qv¢ruyp€vjƒs{'p`y;Šy;wwsvjƒsrªvR©—yƒíqsƒŒvjws©F{}ƒxqŒv„ƒyç|ªvzt.yƒŒŠy(|~n€p`ºj{'r~| ©—yƒŒŠ {jƒŒws{¢wŠy;|«q{€i wsrªw¡q{jp`{÷t¢{}|«qr1©`ƒ{jÆ`|kyt.r獏r æ qsqsrkt¢rk#v„;r~{}p`y+r~p׊n`r1p€{jp y° ÿ]v}Šrk|~y+rkp€rk®brknFv„ƒy n`p´ n`p`rªŠv¾ÿŸn`p`;r~{}p`yí{jÆ`rkyqsqsrk®j{€èZÆFvjwxqv¾Š{jp€wsrªyƒŒv„ƒyrk|5©€ƒsy#Šy;`yp5qsyy;wsyt.©`rk{¾rkp'Šn€r@鄩—yƒZ{€° é Äçwsr}©`®}ƒ{j{jºjƀ|krª|~v1y;t¢t.r3r~p`Šrk{}t.per~;©`;rxn÷vj° ƒsyí`rwxrªn€vçp€rkv|5ŠÿŸ{}n`wxp€qs{(rk{jp`yy¢|}qs{jƒŒvjÆ`wsrky©Fqs{}qsƒxrk®jq{¾{+ŠŒwx‹`{}yp`r~{Ú|5qsº}y;yt.p`y;©Fƒ{(vj|~r~t.t.y©`p5rkyqº5y£vZrkqp€{獏©FrªŠy;vZƒ‚qr‚ë}n€Šy;{jwxpeqs{€r~|i p`{}t¢y}þ íûsú}õö~òó¢î Zî @îðó¢î ;ô î]úZï—ò æ ö =î  ûî Åòûî]ú ¡ú ö =î]újõî] ò  =î

(6) ™ú Zi ­{jpFwxrªyƒrªv„t.{.n`pü©`ƒ{jÆ`|kytvr qxqr~t.rk;vjrk{jp`y£Æ`rkŠƒsr~qsy;ƒsrk{€é—Šrk{€yR° rkpeŠn€rŠrwxrªv„p€{ n`yzÿŸn`p`rk{jp€r{jÆ`rkyqsqsrk®j{F"é !$#9y !&%jé€y£wsrªv„p`{ 'ü)y (+n`yzws{j|kn`rk{jp€r½v„t.t.rkwwsr~Æ`rk|kr@iìŽbn`©`©—{„ê p`yü° rªv„t.{Z®b{ünqŒv7r®jv„{j|1|kyÿ]v„ƒqxqt.{Erkp`ŠŒrk‹`t¢y¨rkr9#v„Šƒsƒr~yqsy;yƒsp5r9qsƒŒwx{}v„t'p`{ Æ`rwx©—ríy;Šwƒwsr«{7qyƒr~p r@+i Š*ç{jp/p€.€vür~qx`q-r{7,ÚqsŠƒŒ{}vø|«qZv¨|k° {jƒŠŒ{7‹`yyürkp€ë}Šn€{}r~p€p`qsƒr9rkvjp`t.{}p{ ©—{}wwxrªv„t.{÷`r~ƒy¨wxy n`p€vøws{j|kn`rk{jp`yey ° t¢rkºj|krk{jƒy{©Fy;ºjº}r~{}ƒsyƒsrªwx©—yqsqs{7vjEn`p´ v„|~qsƒŒv`è1wsy vj!$

(7) #102'"n`35p×46Šƒ!$r«q#1y02(7ƒr~3ì{8y t!1v%$02'9p`{j35pJ:6ƒs!&rªws%$©F0;(/yqx3qséF{øn€p€v„vÚ|k|=´ wsvj{j|«q|kn`ƒs{Fi

(8) rk{jp`ˆy{jƒƒp`rªwxrkn`vj|~t.qv.{t.vjrk|~ºj|=´ |ky#r~wx{}y;ƒst.yz©``r~y{ø|k|@´ v„y;|~qs|~ƒŒ|ªvøvƒrkr«wsqs©Fqvøyqxq{ r qsƒŒvjws©—{jƒsqsr=þÚr~|1©—yƒŒŠ{}ƒws{ü©`rxnJ° ®jy|k{Šyƒsrªwxn€|«qŒvet.{j|~qs{øws©Fy#wsws{÷ë5n`y;|~|k{÷©€rxn×° Švjƒs{Fé‚t¢y;p5qsƒy ë5wsrkn`v¢yrk|k||k{t.t.r~º}y|~p€rk{j{ ƒyjŠ;i v„ƒ{ƒrkwsn`|~qvr~|3©`rxn÷° |kyp5q{ Š{}wÅ°<ŠŒ‹€y'p`{}p÷wv„©`©€rkvjt¢{+rkƒsy.ë5n€v„|ky.yr‚n`y Õç|k|=´ rkp`rkrk{׍`y|wxy#Š{}|~{×wsŠ{jƒŒwx{

(9) r~|Rÿ]vjt.{}ws{Ey;Š{jp`{}t.rkwxqv

(10) r«qŒv„|krkvjp`{JϾrk|«ÿŸƒy;{×l‚v„ƒyq{ wŠƒrkwwxy(p`y;|½wxn€={ eô„>ï €ôZök?ò „Aî @  úZï?úZó¢î]ô çúZöÁî =î  ô`þ B ¼9r~ƒyt.{+ŠŒ‹`y'rŠ{jt.©—{jp`y;p}qrr‚n`p€v+Š{j|k|~yqxqsrk®br«qZv ° ºj{{jp€{€éurkp÷n`pFv Šyƒsqv ©Fp€v„{5ƒŒwxwxrkr—rk©—{jp`{by}ŠŒ‹€érkwwxyrk|(t.ó{¢ô™€ñŒv¢ñîðë5ó.n`Cú y;|~|ª„v'îR©FDú {5òwxöÁrkîðó¢rk{jî p`/ôZy(E éìºjë}rk{ZnF®Zv„v„p€p€`{E{€é5y° {'rkt.pbn`©F{{5Šwsy;wsp€rkÆ`r~{F|kyé`vzvj|~q|k{jnp5qxqqŒrvZêr |kŠv9{jt.©F{5©—wx{jrkp`rky;{jp5p€qsyírbv™®}yy|k|kp€v9Š{9{}|~p`|kyy;qsŠqsy;rkw®5wsr~vjq™ƒsv€° rªè„v„{jt.º}y;p`p}rjq©€yrkŠ;©—Šy{jƒ‚|krªywsÑ?wsr~yt.qsqs{({wx©—r{}º}wxr~q{Zvj®Zt¢v„ƒy;yop5v(qs{¾©€`vjv9ƒxqë5yín`yy;|~êr Š{jt.©—{jp`y;p5qsry;|~|ªv.Š{j|k|kyqxqr~®br~q™v.° yrpbn`{ŠyƒyRv}vj|«qƒsr=i F †.

(11) G |krw¡qn€rorl‚vjƒsyqs{yƒŒv„p`{ ƒsrk®j{}|«qr‚vj÷y;ë5n`rk|~rkÆ`ƒr‚y;Š{}p`{jt.rªŠr3y.p`{jp©`ƒ{n€wwxy.v„|ªŠn`pFv ÿŸ{jƒt£n€|kv1tv„qsytv„qsrªŠv¾ŠŒ‹€yoƒŒv„©`©`ƒy;wsyp5qŒvjwæ wxy3qŒv„|kyŠ{}p€Šyqxq{€é™tvç|ªvç©`ƒ{„ÿŸ{}p€r~q™vç° rë5n`y#w¡q{ ÿ]{jvp€{jwsrFƒyjŠŒ‹`é™n`yçp€wsv9rkvRwx{}Š{j|~n`p€;wsr~rk{}`p`yyoƒŒvZwqsv„{RƒZvç°rk|€©€yv}qxq)v ƒyì1`ô„yûs|kHò |@´Åúzqx1ú q r~=t.îðó.rkô(;vjwsyork{j{}p`ºjp`y1rbt'v„n`|~qs|~ƒŒqsv¾rªŠwsƒ{jr«q|kyn`ƒr~rk{F{jèjp€rkyopÿ]ŠŒvZ‹`qsyoqsr=t.é}rkrkpÚºj|kr~wx{}n€ƒs{ r rk|®Zv„|k{jƒy(r½n`p¨Šƒr«qyƒr~{.wxrªv¢©Fy;ºjº}r~{}ƒsy(ƒsrªws©Fyqxqs{Úvj|~t.y;p`{vjn`p¨v„|~qsƒ{.Šƒsr~qsy;ƒsrk{€i ˆv„|ky£Š{}p€Šyqxqs{©Fy;ƒst.yqxqsy¢wx{}|«qŒv„p5qs{r‚rkwŠƒrkt¢rkp€vjƒsy£ë5n`y;|~|ky'ws{j|kn`;r~{}p`rŠŒ‹`y¢wxrªŠn€ƒv„ê t.yæ p5qsy9p`{jpÚws{jp€{zl‚v„ƒyqs{R{jqxqsrkt.yjèb©`ƒy;wsy¾n`y(wx{}|~n€rk{jp`r€vjt.t¢rªwwxrkÆ`rk|~rF©Fy;ƒn`p©€ƒs{}Æ`|~y;tv t.r r~º}|~rkqx{jqƒr~t.y9rk`y#|kv„|@´v„rk|~{jqsp€ƒŒvyçt£{.n`wxy9|~qsp`rªŠ{jƒp r~qsywxƒ{}rkp`{€{£ébŠŠ{j{}p`pÿŸÿŸƒsƒ{}{jp}p5qŒqv„vjp€Æ``r~|k{jr=é}|kyçtƒsv'rkn€p`wŠ{jrªpÚv„t.©—{}{£wv}wsrkÚvjt¢vZÑ?{¢yw¡ƒqŒtv„v„Æ`ƒrk|kyçr~ƒwxy¾y9|ªn`v£p€l‚vÚv„y°ê ƒyqs{£{„qxqr~tvj|~r~q™v'° r—ë5n`y#w¡qy9wsr~p€{£v£ë5n€vjp€{zp`{}pv„Æ€Æ`rkvjt.{z®jy;ƒsr~¯FŠv„qs{zŠŒ‹`y9p`{jpy#wxrªwxqs{jp€{ ws{j|kn`I rky;{jr}p`©€rƒsvj{}t.Æ`|~t¢y;t.rªwr5wxrkÆ`r rkæ|~ruqst.qsrkrkt¢ºj|krkr~{}#ƒsv„r=;i r~{}p`yŠ{jpzn`pFv¾ws{j|ªv1ÿŸn`p`;r~{}p`yo{}Æ`rkyqxqr~®}{€éZrk|}®Zvj|~{}ƒsy{jqxqr«ê t.y|ky{zt.y° y;n€p}p`qrk{€Šè}{9p`vjyp€r`ŠŒ©€‹`ƒsyo{}Æ`wsyo|~y;|=t.´ rkp€rwst£r~y;n`t.|~qsyrªŠƒy;r«q|~y|kyƒr~ws{F{jé„|kn`n`p€rkvR{jp€®}rj{j{„|~qqsv(qsrk{„t.qsyoqsy;ƒp5rkwsn`n`qs|~{Rqvç|@´ rkŠp€{jwxt.rky©Ft.{5yçw¡q{¾y;`|~|kv¾yç©`ws{jrxn'|k° n`r}rk{jn€p`p r l‚v„ƒyq{+{„qxqr~t.y}é3v}øy;wwxyŠ{jƒƒrkws©F{}p€{}p`{¨r«Ñ?yƒyp5qro®Zv„|k{jƒroy;|~|kyÿŸn`p`;r~{}p`rí{jÆ`rkyqsqsrk®j{€i Žbn`©€©F{}p`rkvjt.{ ŠŒ‹`y+n`p´ v„rkypF`vøyÆ`ÆFvøƒsrªwx{}|~®}yƒyn`pש`ƒ{jƀ|~y;t.vør¾t.v}wswsrkt¢rk#v„;r~{}p`y t£n€|«qr~{}Æ`r~yqxqr~®}{€i‚¼¾{}©F{¢v™®jy;ƒr~pFr~®brªn€v„qs{£|=´ r~p€wsrkyt.y9y;|~|ky9ws{j|kn`;r~{}p`rFl‚vjƒsyqs{{„qsqsrkt.y9r tvjwwxrkt.{£wsrF©—{jp`y9n`p´ v„|~qsƒ{z©`ƒ{jÆ`|kytv©—yƒí|=´ vjrkyp€`v€þë5n€vj|~yzyç° |ªv£ws{j|kn`rk{jp`y節p€v„|ky9ŠŒ‹€y qv„{Zqs®br½ƒZ€v¾° v„w|kŠ|kv¢yº}®j|~rk{}y|~ƒ{}y#p5ýq™v¢° ˆvj|~yyì|k|@w´ v„Šy;|~r~qy;v(p€`wv„vƒZwxvç° qsyy#Ñ?wswyv`qsé`qsn€ŠŒ‹`v„qyRv(©—Šy{}ƒp€t.wxrªyqxqy;yƒƒŒvjv„p€p`p€{¾{.n€`|«qr½yrkƒp€r~{}ƒsrkr5®5©€rªv„n€ƒŒv„vjt.ƒsyyvjqsG ƒ|~t.r5yyp€qx{ ê n`v.p€qŒv'v„|kwxyz{}|~y;n€wsyrkt.{jp`©`y¾rk{Úl‚vjrªƒsw¡yqqsr~p`{Rº}{„n`qsrªqsv„rktt.vz{ƒr«n`qyyzpbÿ]nvjqwsv£r½©`p`rxy;nÚ° |~|k{Úr~p`w¡qsqyn€ƒy;wrk{wv„prqyçn`ƒsp¨rªws©`©Fƒy{jqxÆ`qs{'|kytv„|k|~v.y(t'v„|~n`qsƒ|«qyjrki Šƒsr~qsƒy;vjƒsrk{€rky þ p`y;|~|ªv(©`ƒsrktv(®5rkyp€yìwxqsnFrkv„qs{rk|©`ƒ{jÆ`|kytvRŠy;ƒŠ;v„p€{RrƒrkŠ;v™®Zv„ƒyrk|tv„ºjº}r~{}ƒ3p5n€t¢y;ƒs{Rr rkt.pÿŸy1{jë}ƒtnFv„v„p€rk{j{(p€wsr€vjwxƒ™n€v¾° |~|=©F´ rk{5p€wswswsr~rky;Æ`t.r~|kyçy3é„yt.|k|~yy9p5wxqs{}ƒ|~yín`p`;r~y{}|k|kp`v(r€wsl‚y;vjŠƒs{}yp€qs`{Rv¾{„®5qsqsrkyrkt¢p€yí8y rk0]p€yrkqs®byrkƒ`t.n€vZr~pFqŒv„v¾p€n`pF{Rv9qŒwsv„{j|k|kyçn`rkp€rk{jwxrkp€yy ê ƒr«qypbnqvzt¢rkºj|krk{jƒyì`y|k|~y¾vj|«qƒsy}i I {jp`{5w¡qŒv„p5qsy1t.{}|«qyç©Fy;ƒws{jp€yç©F{5wswv„p€{({5wswsyƒ®Zv„ƒy1ŠŒ‹`y1|~y n`y(ÿ]v}wxrwsrkvjp`{£rkp5qsy;ºjƒŒv„Æ`rk|~r?rkpn€p´ n€p`rkŠ;v'ÿ]vjwsy(Š{}wÅ°<—€v'{jqxqyp`y;ƒsyRwxn€Æ`r«q{€ép`y;|~|ªv't¢rkºj|krk{jƒy y;|~|ky'rk©—{„qsy#wxr=é|ªvws{j|kn`rk{jp€y¢l‚vjƒsyqs{Ú{jqxqsrktvŠŒ‹€y'©`rxnø° wx{`rªwxÿ]vÚºj|kr3n`|~qsyƒrk{jƒr3Šƒsr~qsy;ƒsr3r wŠy|~qv€éƒr«qyp`rªv„t.{¨ŠŒ‹`y¢qvj|~r3ÿ]v}wxro`yÆ`ƀvjp`{+y;wwxy;ƒsy.vZÑ?ƒ{jp5qv„qsy.wxy;©€v„ƒŒvZqŒv„t.yp5qsy}i­{}t.y v„Æ€rk®jÆ`y;rkƒvjwst.rí{ wsrìº}©`rAv¨ƒ° y;ws`yyp5qxqsqy;{€ƒséy;rÆ`ÆFŠƒy;r~ƒsqs{÷yƒr3r«¯€Ñ?p€yƒvjy|~rp5qrír©€wƒsŠ{}y;Æ`|«qŒ|~v y;t.ws{jrìp€`{+r wsæ {jqsº}qsºjrkyt.qxqsr~;rk®b;r‚v„;yÚr~{}ë5p`n`yjr~épFŠ{}rowÅ©—°<íyŠŒƒ£‹`Šyƒsr~rìqsy;ƒƒsr«êr ƒwsn`y;v„|«qŒ|~q™vZvz°qrr~|?{jqx©`qsƒy;{jpbÆ`n|kqsyr3t©—v.yƒ(y9° n`n`p`p`{{'y¾`r|ky9ë5n`rkpy#ÿŸw¡{jqƒrtp`v„{};pür~{}©—p`{}r€w{jwxqx{}qsp`y;{Úpbny;qswy(wsywxƒn`yz|k|kny9qswsrk|k{jr~|k;n`;vZrkq{jrp`©—r?yl‚ƒ(v„ºjƒ|kyr3q{v„|~{„qsƒqsr@qsi9rkt¢ÄÅp y Š{}p5qsrkp5nFv„p`{£v}y;wwsyƒyç®Zv„|krky9©Fy;ƒ|kyRwx{}|~n`;r~{}p`rF`r—{}ºjp`r—v„|~qsƒ{£©`ƒ{jƀ|~y;t.v£ŠŒ‹`y9y;ƒsrk®br—€v ë5n`y;wxqs{Fi(­{jpFwxrªyƒrªv„t.{.|@´ y;wsyt.©`rk{y;|~|ªvڍr~qxqŒvrqsƒŒvjws©—{jƒsqs{€þívZÑ?ƒs{}p5qv„pF{Úrk|½©`ƒ{jÆ`|kyê tv+r æ qxqr~t.rk;vjrk{jp`y.Æ`rªŠƒr~qsyƒrk{€éu©—{„qsƒyt.t.{¨Švj©`r~ƒyjéu©—yƒy#wxy;t.©`r~{F齊Œ‹`y¢r©—yƒŒŠ{jƒŒwsr ŠŒ‹`yrkt.©`r~y;º}vjp`{Úv„|©€rxn¨° n`p+qyt.©—K{ J9L‹€v„p`p€{n`püŠ{5w¡q{Úwxn`©—yƒrk{jƒyR`r½n`p¨®Zv„|k{jƒNy MLjé€y ŠŒŠ‹`v}wxy{Fré—ws©Fyzy;ƒn`ŠpF{jvڃŒwx©`rƒŠr~{jtpøvŠ®j{}{jwxqs|~q{¨vrkÿŸp{}ÿŸwy;wxƒsyzrk{jƒƒrªyŠŒ‹`v r~y#Mw¡q#.{Úr~n`t.pe©`rkqsyƒŒº5v„v„ºjp`r~qx{üq{vj|~Št.{}peyp€Š{ {5w¡n€qpø{Úyzqsyqt.yt.©—{ ©—{JO##rkpè‚ÿŸrkyp÷ƒr~qŒ{}v„ƒs|r ƒwsrk{jws|k©Fn`yqxrk{jqr~p`®Zy'v„t.p`{jy;p÷p}qyy;wsrkwxPr qsy}M i'L ŽbQy y¢J r~L p÷ébÿŸ©—n{}qwn`wxƒsrªv„{ t.|=´ {¢vjr~rkt.yp€t.`y;vrªt.vZqŒ{bv„`t.r«¯FyŠ;p5vjqwy(wxy¢Š{jr‚t£Šn€ƒr«p`qrkyŠ;ƒv„r‚ƒy9r‚ŠŒws‹`Šy(y|~n`qp€v`éuv'ƒqŒr~v„qsy|ky ê p`y;p€{+©`rxn÷° rkp5qsyƒy;wwv„p`r3r‚©—yƒŒŠ{jƒŒwsr3Š{jpøŠ{5w¡q{y¢qsy;t.©F{¨rkpÿŸyƒrk{jƒrƒrªwx©—yqsqsrk®™æ vjt.yp5qsyr M rk{j# p€8y y¢J ƀ# rk闊ƒswxr~ÿŸqsƒsy;n`ƒsqxrkq{€vjép€©F{5{wswsr½rkvjƒrkæt.wsn`{ |~q`vZvjqr½ƒsy{jqxn€qsp€y;pbv nƒsqsrªrwx©—p`{}ywx|k|kq{v wxrkqst.n€t¢rky#{rªvZy;q|v¨©€wsƒsy{}p€Æ`;|~y;v+tv{Z®jy;r ƒvZqsÑ?qsƒsrkt.{}p}r~;qŒv„;vZƒy ê n`æ p+pbn`{Z®j{¢©`ƒ{jÆ`|kytv¢r qsqsrkt¢rk#v„;r~{}p`yji rkw®jwxy;y;ƒƒsws®br„rªqŒv„v™t.®j{j{€|kérjrkp`rb{jv„|~qspFƒv„yj|ké—rkwsŠŒr@‹`þuyz|ªv1v„©`|k|=ƒ´ rkrkt.p5qsvçyƒÿ]p`vj{Úwsy®brr~y;n`p`pyo´ v„ws;®jr~{}y;|«p€qŒ`v1v.©Fy;|ky£ƒ½y#wxn`y;yzt¢ÿ]©€vjr~ws{(r`ws{jv1p`t{Úv„v„p€Ñ—vjƒºj{jy;p5ƒqr5v„ë5qsyn€vjwsn|~r y¯€p`rªwsŠ{jp`{Úr3Šƒr~qsyƒr=é€|ky'Š{}ƒsƒrªwx©—{jp€`yp5qsruÿŸn€p`rk{jp`r{jƀr~yqxqsrk®j{yzr~pFr~®brªn€vjp`{€é?ë5n€v„p€`{ yR° ©—{}wwxrkÆ`rk|~y}é`|@´ rkp€wxrkyt.yzy;|~|kyzws{j|kn`rk{jp`rl‚vjƒsyqs{'{„qxqr~t.y}èFŠ{}t.©`|~yqv„qs{¢qvj|~y|ªv™®j{}ƒs{Fé5wv„ƒZv° ©—yƒíy;wsyt.©`rk{z|kv'¼¾rkƒyrk{jp€y¾Õçt.t.r~p€rkwxqsƒŒvZqr~®Zv£v'y;Šrk`yƒy¾ë5n€v„|ky9wsrkvz|kv'wx{}|~n`;r~{}p`y1¯€pFv„|ky ¬.

(12) `v.wŠyº}|~rkyƒyji I y¾r—{jy;ƒŒ|b©`rkp€ƒsv„rkt.t.{(y;p}Š;qv„{z©`r~wxqsn={}|~RT{RSé5y;vj|~|ªÆ`v¾Æ`©€rªƒsv„y#t.wxy;{zp}ƒqrkyoŠŒ‹`qy;rªv„wsr@té}v„qs{j{©—{(|ªvzv™®}yy¯Fƒp`r~p5r~;qr~ƒs{}{p`y¾{jqxqsr>{( "r`ŠïU{}Ap€úŠy„qxî½qórb`ô™r`ñŒñŠîð{jó.p€{ú t¡Qò vÚZt'îó'n`|«îðqïFrkŠîðó.ƒsr~qsú y;9ƒsrk{€r€é—n€ÿŸpÚ{}ƒsr~p`pFy;wxp€rkyt.{ Wy v„VY |ªŠn`XZp`y¢R[ŠS+{}p€y¾rkr½rk{jñp`ú„r‚ö \v&,î]úZp€ï?ŠŒWò ‹1yz] ôZ|=ûs´ rk ò p€Åwsú¢r~y;1ú t¢ =y.îðóô£rqvjrF|~n`r3pws{j©`|kn`ƒ{jÆ`rk{j|kp`yêr wsrkv(p`{}p'®bn`{jqs{€iÄÅ|F­ív„©`r~qs{}|~{wsr`Š{}p€Š|kn€y1Š{}p'|ªv(y;wŠƒr~;r~{}p`y썏r€n`yìrkt.æ ©F{}ƒxqŒv„p5qsrbqy;Šp€r«ê t£ŠŒ‹`n€yR|«qrkruŠƒsƒr~rkqswsy;{jƒs|krkn`{rkvj{jüp€y9n`pürk|©`Šn`ƒ{jr?Æ`{}|kÆ`yr~tyqxv€qé€r~®}{j{©€©`yR° n`ë5ƒn`y'yvj|k|k+{¢n€rup€vƒrªÿ]vjn`t¢ƒƒsrky(ºj|k©`rªvڃ{jÆ`r|ky©`t.ƒs{}ruÆ`|kr yt.qxr@é?qr~Št.{}perk#wsv„r~p`rkº}{j{jp€|k{y Šƒr~qsyI ƒrk{€i rk{jp€yRy;ý|ìr~­íp€y;vjv„©`ƒr«yq{j§¨|k{en`† |~qsrk|k{jvüÆ`rkp`y{}qswxqsqsrk®jƒŒv¨{vZqsyqs¯€yp`p€r~qsrkr½{jwsp`n+yÚn`wsp¨rwsë}©FnF{5v„w¡|ªqŒwxv¨rªvjwswxr?n€©Fro{}©`|~ƒr~qs{j{}Æ`©F|ky{Út.Šro{jpb`®jríy#lowswsƒs{€{}iºjƒŒl3v„yt.ƒítqvjvZ|~êr ©`ƒy#{jwsŠÆ`ƒs|kr~yqxt.q{er—t.n`p

(13) {}wxp`qsƒ{„rkqvj{et¢t.{'yv„q|ª{bŠn``p`{÷y(©`r샃{jrk©`ws{jƒrk|kyn`q™v£° rk{jp€yyÚ|k|~yR©Fy;wsƒ'{j|k©€n`ƒs{}rk{jÆ`p`|~y;r—t.l‚rív„ƒyr1q{zlo{„ƒsqs{}qsºjrkƒŒt¢v„y(t.yjtév„{}rk©F{j{¢p€y.v™®jýy;r«ƒê p`y#v„ƒy.Š{jp wsr~p€ºj{j|k{+{jÆ`rkyqsqsrk®j{F鍏yqxqs^{ e ò Aú j^ú }ò`ö _Fîðaó —ö~òñŒñú„é3|~{üv}`vZqsqsrªv„t.{üv„|oŠ;vjws{ t£n€|«qrkŠƒsr~qsy;ƒsrk{ÿŸ{jƒp`y;p€{Ún`p¨t.yqs{{©—yƒ(yqyƒt.r~p€vjƒsy£|@´ r~pFwxrkyt.y'`y|k|~y£ws{j|kn`;r~{}p`rl‚v„ê ƒyqs{R{jqxqsrkt.yji‚ln€ƒxqƒs{}©`©F{FéZr~|€t¢yqs{{y#wsŠƒsr~qxq{(p€{jp.©`n{R° y;wwsyƒyìvj©`©`|krkŠ;vZq{Rv(©`ƒ{jƀ|~y;t¢r r€loƒs{}ºjƒŒv„t.tv„;r~{}p`yýr~p`y#v„ƒyÄÅp5qyƒŒv(§ün`|«qr~{}Æ`rkyqxqr~®}{yçë5n`r~pFrÿŸ{jƒp`rªv„t.{Rn`p€v(qy;Šp€rkŠ;v wsy;ë5n`I yp€rªv„|ky(©—yƒçv„Ñ—ƒ{jp5qŒv„ƒy¾qŒv„|kr©`ƒ{jÆ`|kyt.r=i y;|F­ív„©`r~qs{}|~{R¬Ry;wŠƒrk®5rªv„t.{Rë5n€v„|ªŠŒ‹`yít¢yqs{{©—yƒyqsy;ƒst.rkp€v„ƒyívj|kŠn`p`y1ws{j|kn`rk{jp`r l‚rRv„ƒƀyv}qwx{.y{„Šqxq{jr~pFt.wxrªy¢w¡qy÷r½n`p€püy|ë5n€yvjq|kywsƒrªvjt.wsr~rp€©`vjƒƒs{jy÷Æ`|k|kv

(14) ytwxv{}|~n€rrkæ {jp`qxqyr~t.v„t.rk;t.vjrkwrkwx{jrkp`Æ`yrk|~yt'ŠŒn`‹`|~qsyrªŠƒsƒy;r«qp€y`ƒvr~{Fiìt.Ãorkp`´ rªrkt.y#vv |ªverªw¡qŒv„p`#v¨qƒv¨|k{÷ws©€vjrk{erkt¢tvjºjrkp`yyn`p ©`n`p5q{ríƒr«ÿŸy;ƒsrkt.yp5qs{e¯FwswvZq{€i÷ÄÅp`r~;rkvj|«ê t.Š{}ypNpqgh yjé?fiwxrhjrkt¢:l{5kw¡qƒéív|kv7ŠŒ‹`wsy£{jws|kn`yznrk{jqsrkp€|ky r~;{jrªqxv„qt.ypb{Únn`qvJp€vyü° l‚rkwxvjqƒsvjyp`qs;{v.{„rkqsp€qsrkt.{jqxv€qŒévt.`vy;p}n€qp€ƒsy}véìt.nqsyrkq|~ƒsrkrªŠ#cv v„p€be`db{ é |ªv `rkwxqvjp`;v rkp€{„qsqv+`vj|~|ªv t¢yqsƒrkŠ;mv bn é|ªv+wx{}|~n`;r~{}p`y.{„qsqsypbnqŒv ©`n{+° y;wwxy;ƒsy.l‚v„ƒyq{ {„{„qsqsqsqsrky;tp`yv¾p€`y;{.ÆFvj{}|k|~Šy}n`ip`ÄÅp£yŠwsy{}º}p€n`r~rkqs{€rk{jéZp`Š{jrp€wsn`wsrk|k`|kv¢yƒt.rkvjyt¢qƒs{¾rªŠ|~yív'n€rkwwxvZqqŒvjv¢p`v1y,r~pFp€ŠŒ‹{„qsy(] qs|kyìv¢`wsv„{j|k|k|~n`yt.rk{jyp`qsyƒrªŠŒws‹`rkv¢yol‚©—v„y;wƒvZyqq{y {„qsqsrkItv`i y;|—­ív„©€r«q{j|k{³y;wv„t.r~p€rkvjt¢{Rn`p€{£yr€©`ƒsrkt.r€t.yq{rFŠƒsy#vZqsr©—yƒívZÑ?ƒs{}p5qv„ƒyí|@´ æ qxqr«ê t.r~;;vjrk{jp`yzt'n`|~qsrªŠƒr«qyƒr~{FéF|ªCv oçú;ô„Oö íûsúù„ûsô„ó'ó¢îðï5ùjiR¼9v„qs{Ún`pe©`ƒs{}Æ`|kytvt£n€|«qr~{}Æ`r~yqxê qswsrky®j{Fp`é{jp7|=´ rª©`y;nv÷{¨° y;r1wwxƀy;ƒsv}y.wxyeƒŒv„y° ºjº}r~r1n€wxp}qqvj{€Æ`é½r~|kŠrkyƒsƒŒy}ŠŒé‹`©Fyy;ƒyƒ.t.{j{+ºjp€n`ríp€Šv¨ƒsr~wsqs{jy;|kƒsn`rk{€;é‚r~{}n`p`p

(15) y|~ŠŒrk‹`®jyy;|~|kws{÷ro€rªvewsŠƒŒ{}v„wxº}qsrºjrkrkn`|op`t.ºjy;yƒsp€y}{ è ©—{}wwxrkÆ`rk|~y€v+G qvj|~y|~rk®jy;|~|k{€iü¼9y;wŠƒr~®brªv„t.{€é3ë5n`rkp€r=é3`n`yt.yq{rí`rƒrkws{j|kn`;r~{}p`y©Fy;ƒ£r ©`ƒru{jqŒÆ`v„|k|kyrut.©`ƒr‚{jÆ`r |kyt.{5r½v„ws|‚rkvjlp`ƒ{.{jº}l‚ƒv„vjƒt¢yqst.{¢rkp`{„ºÚqsqsrky¢t.t.yji {}wxqsƒrkvjt¢{ |ky¢Š{jp€rkrk{jp€r31v ,p€ŠŒ‹ y¢] |~y.ws{j|kn`rk{jp`r ­{jpFŠ|kn€rªv„t.{|ªvÚqy;wsr3t¢{5w¡qƒvjp€{Fé—p€y|­ív„©€r«q{j|k{ ²é`n`y't.yqs{rŠŒ‹`y.Šr3©—yƒt¢yqxê qsƒ{}yqsp`{ {¨{„qsr3qsrkÿŸt.{jƒy'p`rk©—ƒsyy.ƒv„©`©€ƒ©`{jƒsƀ{5|~wsy;wst¢rkt.r3vjt'n`rk{j|«p`qr~r3{}Æ`rkroywsqx{„qr~qs®}qs{ {}r~p€Š{jwsrkpby®jt.y#wsrwsr½yy.|k|=p`´ rk{}p€p÷wsr~y;Št¢{jpby®jy#wsy;ws|~|kr@yÚizws¼9{jy;|kn`wŠƒrk{jrk®5p`rªr‚v„t.l‚v„{Fê é ©—wsn€yŠƒŠ©`y;wƒwxr~t.rk®Zv„{Ft.ér~y|‚p5t.qsy¨yqsy#{w¡qy{¨p€`rrkvjv„t¢©€{7©`ƒsr¾{5wsƒswsrªrkwxt.n€|«vjqŒvZrkqs{jr(p`v„y£|¾©FŠ;y;vjƒws{ø©`ƒsp`{}{jÆ`pÜ|kyt.Š{}r‚pbt£®jy;n`w|~wsqs{€rªŠè1ƒr~©—qsyyƒƒrk{ y;p5Šqs{jƒŒpbv„®jt£y#ƀwswsrçrwxy r y¯€p`rªwsŠyjéurkp`r~;rkvj|~t.y;p}qyjén€p´ vj©`©`ƒ{}wwxrktv„;r~{}p`y£r‚©€vjƒxqyp`#vÚy.n`yŠƒr~qsyƒr‚r‚v„ƒƒsy#w¡q{ ©`ŠŒ‹`n`yçp5qwxrqvjl‚Æ`v„r~ƒ|krªywsqsŠ{£{jp`{„{Rqxq|ªr~v(t.ë5rn€`vjv'|~r~ºjq™vy;° p``yyƒŒ|kv„|@´ƒv„yj©`i3©€Õ¾ƒs{5wsws{jr~º}tp`vjr—r«rkq{jyp`ƒŒv„y큃srkrª{jŠŒp€‹`y9rky;®bwxqrkyv(p`y1yRrkŠ|`vjt|kŠvj{jw|ªwxvZrkqt.v£{(n`pbp€n`v't.t.y;rkƒsws{n`ƒŒv r ©—{j|kr~y#ƒvj|~y nqr~|kr~;;v„qvøwxrªv÷©Fy;ƒ{„qxqyp`y;ƒsy+n`pFvepbn`{Z®Zvwx{}|~n`;r~{}p`y+l‚v„ƒyqs{÷{„qsqsrkt.v€é튌‹€y ©—ws{jyp`ƒo{.Š;v„ƒ|ªrkŠws©F{j|ªyv„qxƒqŒyìvZqs|kruvrë5Šn€ƒvjr«q|~r~yq™ƒv° r`yr½|kv„|@´ ƒv„ƒ©`y;©€wxqsƒs{€{5iwswsr~tvjrk{jp`y}é„v„ƒƒsy#w¡qŒv„p€{(rk|€©`ƒ{Šy;wws{Rws{j|k{ë5n€v„p€`{ p`{}püÄÅpŠ¯€{jpbp€®}yjy;é„wt.wxr{}v.wxqs©`ƒrªƒv„{jt.ƀ|~{¾y;t¢n`p½r´ y#t£w¡qn`y|~qsp€rkws{jr~ƀ{}r~p`yyìqxqsrk®jy|{t.yrkwqŠ{ƒy{(qr@`éFr`Š{jv„pü©`©`Šƒn`{}r½wwsƒr~rktn€wsv„Š;rkvjr~{}t.p`{Úy©—v.y|~ƒ‚{©`Šƒvj{j|~rkƀ|~#y;v„t¢ƒy r v„ƒyyy;|~|k{Úws©€v„;r~{.rkt¢tvjºjrkp`yr~püŠn`r½wsruqsƒ{Z®Zv„p`{.|kyzwx{}|~n€rk{jp`rl‚vjƒsyqs{.{„qsqsrkt¢yz`y|©`ƒ{„ê ³.

(16) Æ`|kytvrªwsŠƒsyqs{Fio¼¾{}©F{Úv™®}yƒç`v„qs{n`pFvŠ{jpFr~;r~{}p`yRp`y;Šy;wwsvjƒsrªv'y£wx7n ,Šr~y;p5qsyz&v ,p€ŠŒ‹ y ] qvj|~rƒyº}r~{}p`rbŠ{jp5qyp`º5v„p`{Rv„|b|k{jƒ{9rkp5qsyƒp`{Rwx{}|~n€rk{jp`rl‚v„ƒyq{¾{jqxqsrkt.yjé„t.{5w¡qƒsrªv„t.{9vj|kŠn`p`r y;|kyzwsywxt.{}|~©`n`r;r~rk{}p÷p`Šrun€Šr@y;é?ƒrkŠ;p}vZqqsyy}p€i wsr~¯FŠvjp€{|ªvƒrkŠyƒŒŠvrkpen€p€vyqsy;ƒst.rkp€vZqŒvÚv„ƒy;v€é—yqsy;ƒst.rkp`rkvjt.{. ².

(17) p qirYsutvxwPv z. á O PM. {}|. y. S¿Màß P S ~. âàM P. ÄÅp¨ë5n`y;wxqv¢wxy;rk{jp`yRrkp5qsƒ{b`n`ƒsƒyt.{¢r~|Š{jp€Šyqsqs{rƒy|ªv„;r~{}p`y9ƀr~p€vjƒsrªv`鏊{jp+v„|ªŠn`p`yR©`ƒ{„ê ©`ƒr~yq™v÷° I ©Fy;ƒ©F{}rìy;ws©F{}ƒsƒy|ky y;ë5n`rk®™vj|~y;p`yqsƒŒv÷|~y+©`ƒ{j©`ƒrkyq™v÷° yº}|~r1{}ƒ`r~p€vjt.yp5qsrìy+yr Š{}p`r=i y|k|=´ rkp5qsƒ{b`n`rk{jp`yüvjÆ`Æ`rªv„t.{ø©F{jqsnq{7®jy#yƒy¨Š{jt.y+p`{}p×wsrªv÷©—{}wwsr~Æ`rk|kyjéìp`y|k|ªv tæ qxv„qº}r~t.ºjrk{jrkƒ#v„©€vjrkƒx{jqp€yÚyzt£yrín`|~Šqsvjrk{jwsr=ƀér~yqsƒqxqs{Zrk®Z®jv„{Fƒèuy.r~pen`pºj´ yn`p€p`yrªŠƒŒv„vü|kyjwséF{j|kŠn`{jp€rkws{jrªp€yyƒ{„rkvjqxqt.r~t{Úv¨n`pe©—ywsƒ£{„qsn`qsp7{jrkp€©`wsƒr~{jy;Æ`t.|kyy t¤v¨rr RA€ey;Jn`pFveÿŸn€p`rk{jp` y !ƒ‚„0 !$#& †† † ! 3N=þ  ‡„R[S‚ˆi 9n€vjp€^{ ‰Š‚Çh¨ƒr~nFwsŠrkv„ê t.ë5n`{ y;wxvqsrk{jp€yqyjyéƒnt.qr~r~|kp€r~;vj;ƒsvjy¢p€wxy'{.y;|@ws´ rk{jwxƒŒqsy'rkp€n`pv„t.®™y;vjp}|~{}qƒs{£y£S q{„{„qxqŒqv„r~|kt.yR{+`rORíy|kè½|ªvv„|ÿŸn`Š{jp`p5;qsr~{}ƒŒp`v„ƒyjr~éu{F©—é‹yR[ƒ(Srk|p`©€{}p ƒs{}vjÆ`t¢|~y;tt.vÚyqxqsrkp y {jƒŒrkp€v„t.y;p}qr?qs{jqv„|krutvwx{}|~{¢©€vjƒs;rkvj|~r=i Œ \a 3\[]–j[@fF\aø"U ŽkO  Ž] U  ï—ô ûòö~ô î]úZï—ò+õîðï—ô„ûî]ô+ñ ^ï7îðï`ñî]òóò  Kò E ïøñ&ú Aú„îðï`ñî]òóò ‘ ZOî l’+C“òññôñŒ`î „î  ò ” •$–¾ƒsr .€y;wwsr~®Zv ñò 0 —" ˜—/3=™ ‘ €òaû —š™›C“ œ‹–çqsƒŒv„p€wsr«qr~®Zv ñK ò €òûúsùjï€î —U žŸ ˜ Z™¡£¢'ñ¤ò 0;—" ¥ž 3¦™ ‘ ¤ò 0 ž& ˜  3§™ ‘ ôZöðökúZûsô 0;—" ˜  3=™ ‘ “ ¨\–9v„p5qsrªwxrkt.t.yqsƒrªŠv¨ñaò €òû¢úsùjï€Tî —U ž^™©ªÅôZökò ¥«  ò 0;—" ¥žH3™ ‘ ò 0žŸ ˜—/3™ ‘ ¢íñî ô« « ò —g‚¬ž“ ­U–9Š{jp€p`y;wwsvñOò €òûíúù„ïF\î —" ¥ž™6  ú„ï —¯‚¬ ® žìñî « ô « Wò 0;—" ¥žH3=™ ‘ 5ú 0 žŸ ¥— 3=™ ‘ “ °$–¾©`ƒsy;{jƒŒrkp€v„t.yp5q{ñ£ ò òzE ûî ±1òñŒñŒî

(18) Zô Nò =ûsôZï€ñî @î

(19) Z$ô – Œ \a 3\[]–j[@fF\aø"U ŽkO  Žª² ’  ï—ôûsòökô î]úZï?ò¢õîðï—ô„ûî]ô ‘ ñ ¥ñ`î Zî  ò.òññòûsò ï ò òzE ûî ±1òññî

(20) ZŸô ¢`=ûsô„ï`ñî @î

(21) Zô ò'ô„>ï =îªñŒîðó¢óHò =ûî  Ÿô “ ³ {jƒŒr~pFv„t.yp5qs{¢©€vjƒs;rkvj|~y.ñ£ ò òzE ûî ±1òñŒñŒî

(22) ZŸô ¢´@ûôZï`ñî =î

(23) ™ôò  ú„ï€ï—òñŒñŸô “ ³ ©`ƒsy;{jƒŒrkp€v„t.yp5q{zqs{jqvj|~yñC ò Nò E cï —ûsòŒúZ¥û Zîðï—ô„ó.ò>ï ŵú A1ú Aô„ö~ò'ô„>ï =îªñîðó'óHò =ûî  $ú – ³ {jƒŒr~pFv„t.yp5qs{'qs{jqvj|~yñ£ ­{jt.yüwsn×{jºjp€r¾wx©Fv„rk{ø®jyqxqs{}ƒsrªv„|ky+ƒsy#v„|kyjéìwx¶n R[SNwx{}p`{7y¯Fp`r«qyü|ªv7wx{}t¢tvqƒvøn`y {¨©`rxn7° y|kyt.yp5qry;ørk|©`ƒ{{„qsqs{¨©—yƒzn`p€{üwsŠ;v„|ªv„ƒyj齍n€p€ë5n`yüy.° |k{jºjrªŠ{¨Š{jp€wsrk`yƒŒv„ƒy¢º}|~r {jƒŒrkp€v„t.y;p}qru©€v„ƒrªv„|kruŠŒ‹`ywx{}p`{Š{}t¢©FvZqsrkÆ`rk|~rŠ{jpqvj|~ru{}©Fy;ƒvjrk{jp`r=i ¹.

(24) Œ \a 3\[]–j[@fF\aøU"Žk OŽkÈ· ïúZû˜„îðï—ôZóòï>Åú` `ô„û˜î]ô„ö~ò ‘ ñ aR[SjòE jò  Åú(|~rkp`y#v„ƒy¾ñòñú\Zîªñ2ô ö~òzñò=ù$€ òï>= î  ú„ï"Z î î]ú„ï€î;” 0;—" ¥žH3=™ ‘ ‚P¸¹0 —Qºg & ¥ž[ºg  3+™ ‘ » —" žŸ ˜ ™›R S è 0¡h}i~hŸ3 0;—" ¥žH3=™ ‘ ‚P¸¼0;½¾—U ˜½DžH3=™ ‘ » —U žm™ˆR S » ½`4צ† 0¡h}i †\3 l3{}wwsrkvjt¢{{}ƒvÚr~p5qsƒ{n`ƒƒsy£|kvy¯€p€r~;r~{}p`y'r‚Š{jp`{r~pR[‚S éu©—yƒ(©—{jr3yƒr~®Zvjƒsp`y¢v„|ªŠn`p€y. rkp}qyƒ©`ƒyqvjrk{jp`r?º}y{jt.yqsƒrkŠŒ‹`yRwsn`|~|ky©`ƒ{j©`ƒrkyq™v¢° y;ºj|kr{jƒŒrkp€v„t.yp5qr@i Œ \a 3\[]–j[@fF\aø"U ŽkO  Ž~¬ Ò  ïøñ&ú Aú„îðï`ñî]òó.)ò ¿ÀXƒR[SÁµò E ò E}Hò ” AúeŠ{}p`{ñòN½Â'Ù£¿g €òûÚúù„ïFî ½µ4 ¦÷´ò €òû'úsùjï€uî '¯™6¿Ä–Å£îðûsòó.ú ¥« Nò ï  ú„ï—Qú ¿x •$–9Š{jpb®}y;wwx>{ ¢½ñaò ÆA'9#ºÇ0xm ¦ fZÆÉfÍ1h ¢  î]eú ò£E ñò h¿¶ÈjºjÆ[¿¦3Â'UXÊ%^¿[™6“ ¿¤ `òû£úsùjï€uî 'u#& ˜'U%¤™Ç¿%ò `òû'úù„ïFî g œ‹–¾©`n`p5qv„qs7{ ¢ñeò €òû(úù„ïF>î '¯™6¿? 7'§‚ ® 7¦ ¢½ñî « ô « ò È'ə6 Ë ¿T¢  î]eú ´ò E ¿ÌÍÈ¿›‚·Î† Ï a5fFXZab_ ^ "U ŽkO  Ž]U _Fî]ô ‘ ï—ô9ûsòö~ô î]úZï?ò¾õîðï—ô„ûî]ô9ñ R[S`–Ð9öðö~ú„ûsô ‘ ò E ï.ú„˜û Zîðï?ôZóòUï Aú €ôZ˜û î]ôZö~ò'öÁîðï?òŒôZûsòzñò'òñú„ö~ú.ñò¢òñîªñ Å)ò ï  úZï?ú  úZUï

(25) ™òñŒñú´ò 9>ï Å&ô ŝú ¿¦XZR S ÅôZökò « ò 0 —" ¥žH3=™ ‘ªÑ ¸ÒžKȧ—š™6¿?† 0¡h}i ‹¬ 3 Œ []_ f—ˁc;XZ^`–j[@fF\a ‘ ®jŽbyn`qx©€q©F{jƒ{}rup`p`rkvj{jt.p {¢p`yŠŒ‹`º5vZy qr~®br=wsé`rkŠv'rk{€n`y° p{jƒŒr~pFv„t.yp5qs{'©€v„ƒrªv„|ky¾|krkp`y;vjƒsy9y(ŠŒ‹`5y ¿üwxrªv'|@´ r~pFwxrkyt.yRyr ¿¯‚lÓ'›™›R S þ 0@7¦ D'93+™ ‘¯Ô † ¼(v„|k|kvÜ©€ƒs{}©`ƒsrkyqZ©v° 0¡\h † \† 3¨{„qsqsy;p`ºj{Ürkt.t¢y#rªvZqvjt.yp5qsyJŠŒ‹`Cy ¿ y° n`p ‘ Š{jp`{Fi¤l3yƒü{}ºj‘ p`r 'O ˜(Ǚǿv„Æ€Æ`rkvjt.{¾ŠŒ‹`Äy '?Èüg ¦ ™ˆ¿.yoW¦ È(Ǚ6¿¢yë}n€r~p€`"r 0@7¦ D'93=™ 5y 0DÈm(" \¦ 3µ™ i ¼(v„|k|kv+qƒvjp€wsr«qr~®br~q™v¨° v„Æ€Æ`rkvj‘ t.{eŠŒ‹`y 0¾Èm(9 D'93͙ ‘ y#øn€wv„p€{¨|ªv¨©`ƒ{j©€ƒsrkyqZCv° 0¡$h †kh 3{„qxê qsy;p`rªv„t.C{ 0]7¦ ˜'šº(73^™ Šrk{€8y° ‘ '¶º(j™i¿3é`v‘ Šn`rowsyº}n`y'|ªv Š{jpb®}y;wwxr~‘ q™v° er ¿‚i¢Žby 'ՙ›¿šÌ¦È+¿‚é€v„|k|~{}ƒm v 0@7¦ D'93™ µy 0]>¦ Èm'"3+™ yzn€p€ë5n`µy 02'A s‹¦ 3™ èF`v„qs{ŠŒ‹€y ‘ yR° vjp5qsrªwxrkt.t¢yqsƒrkŠ{€éwsru‹€v.ŠŒ‹`Qy 'ǂͦ¢©`ƒs{Z®Zvjp€{'Š{}wÅ°<uŠŒ‹`5y ¿ y(° ©`n`p5qv„qs{€i‚Ï9rkŠy®}yƒŒwsv€é `v„qs{n€p÷Š{}p`{Š{jpb®jy#wsws{Úy'©`n`p5qv„qs{=¿3éuy¯€p`rªwsŠ{|ªvƒy|ªv„;r~{}p`yzÆ`rkp€vjƒsrªvv„qxqsƒŒv™®jy;ƒws{|ªv 0¡\h † ‹¬ 3i3Ãyì©`ƒ{j©`ƒrkyq™?v ° 0¡\h †~Ÿh 3)y 0¡$h †‡$† 3wsyº}n`{jp`{(rkt¢t.y#rkv„qvjt¢y;p5qsyç`vj|~|ªvRy¯€p€r~;r~{}p`yjè5`vZq{ ŠŒ‹`yÕ¦ ™É¿3é©`ƒy;ws+{ 'À™ÉR[S×wx‘r‹Fmv 'ˆÈÊ'ɂ¿‘ Õ¦ ™Ê¿

(26) yÚë}n€r~p€`ar 02'A D'"3Ù ‘ ilƒy;wsr 'O ˜(9 ˜Ö͙ǿüqŒv„|krŠŒ‹`c y 02'A D(73+™ cy 02(9 ˜Ö 3K™ wsru‹€?v (CȦ'¯™6¿37é Ö¤ÈÕ(6™Ç¿‚è``v„|k|ªv ŠŽb{}+y pb02®j'Oy; ˜w(7wsr«3qZv(° ™ `>r ‘ ¿¨µy v„Æ`0;(9ƀ Drkvj'"t¢3{z™ ŠŒ‹€‘ Wy éu(mv„|kÈÇ|~{}'ƒv º›(ÃÖ=Èjȶ'§(͙¯‚x¿šÖ=ÌjȶÈ+'©¿¦™Ç‚Š¿+Ó#y¾¦ Ô n€€p€vÚë5n`Š8y n`r0;'O{„ ˜qsÖ qsy;3=p`™rkvjt.‘ { i ŠŒ‹`y ‘ y° v„p5qsrªwxrkt.t.yqsƒrªŠv`iƒ× Žbrª8v ¿÷n`p¨Š{}p`{.Š{jpb®}y;wwx{¢yR©`n`p5qv„qs{€è€©Fy;ƒ1r~p€`rkŠ;v„ƒyRŠŒ‹€y (gȦ'¯™6¿wsŠƒsrk®jy;ƒsy;t¢{ 'šfØm(—éŠrk{€y}° 齍yp€{„qsy;ƒsy;t.{ Š{jÍ p fØü|@´ {jƒŒrkp€v„t.y;p}q{rkp€{jqxq{+€v qv„|kyŠ{}p`C{ 0]wsr‚®jy;€v ¯€º}n`ƒv$h †kh 3i ô {rkp€v„t.yp5q{ö~òñŒñŒî úù„û¾ô Ù ú y9° |~rkp`y#v„ƒy¾y(qs{jqv„|kyjèwsy;Š{jp€{£qvj|~y({r~pFv„t.yp5qs{Fébn`p®}yqxê qs©—{}{}ƒswsy¢r«qƒr~®Zrkwsv`n`i‚|~qÃvv(t.¯€ºjvjn`ºjº}ƒŒv.r~{} h$ƒsy'†‡†({ t.n€{}ºjwxn€qsƒŒvjvR|~y.r~|—vŠ{};ƒsyƒƒrk{ ws©—ws{jy¢p€|kv+y;p5wsn€qsy1vŠ©€{}ƒsp`rkt{zŠv {}Šp5{j®}t.y;w©—wx{R{jp`©`y;n€p}p}qqŒy'vZqp€{€{jé1p¿/Úp5¶¡n€· |~é5|ªvep`yy° | Šv}wx?{ ‰‚%†`i À.

(27) y. C .y. . y x. x x x < y C. y > x C. Ýrkºjn€ƒv hjikhjþ3ÄÅp5qsy;ƒs©€ƒsyqv„;r~{}p`r?ºjy;{jt.yqƒsrªŠŒ‹`yRy|uqy{}ƒsy;t.vhji ¦`ikh. Ýrkºjn€ƒv hji‡†þo­{}p`{¢Š{jƒƒsrªws©F{}p€yp5qy(vj|~|=´ {}ƒ`r~p€vjt.yp5qs{¢|~y#wswsrªŠ{jº}ƒv„¯FŠ{ C lex. ». x < y C.

(28) ÛÜÛ. ݧÞß?à[áÃâäã)åTåTáâªáÍæçåTè8é ÞmêWá è8ßáÃ݈ã)ëeæàTèìè)àOàeá âªæ ¼(vZqs{¢n`p{jƒŒr~pFv„t.yp5qs{'©€v„ƒrªv„|ky9wsn=R[‚S érkp€{jqxq{¢`v'n`p Š{jp€{¢Š{jpb®jy#wsws{zy(©`n`p5qv„qs{8¿3é ©—{}wwxrªv„t.{¢r~p5qsƒ{n`ƒƒsyRrk|½Š{}p€Šyqxq{.`r" " ï>Å úóô™ñŒñîðóúrn`p+rkp€wsr~y;t¢y)VYXZR[‚S i Œ a\3\[]–j[@fF\aøU"]Ž U"]Ž U 酪

(29) ò  Å úZûò=(© í ™ÕVîòcE } òHA ú©`n€p}q{Útvjwwxrkt.{Ÿ0 t.rkp`rkt¢{ ç3 rªy#v„|ky Zî7 ï ñòK(¶ í ð Ø (Q0H(¶ í f Ø (73´€ òû£úsùjï€îu(Ǚ›Vµ– VË#Ë#a}XŸ`ñ ^`–}[]f—\a Žby(qv„|ky©`n`p5q{¢y#wxrªwxqsyjéy9° n€p`rkŠ{€i Œ \a 3\[]–j[@fF\aøU"Ž]U"Žª’² ï^

(30) ™ò Aú„ûsò+(¦ í ™§VîòKE jò  Åú ©`n`p5q{tvjwwsr~t.{ò0]t.r~p`rkt.{‹3·„îï ñòzï?úZï÷òñîªñ A òa(ǙˆVó‹Ó"( í Ô ÅôZökò « òµ(Çí f Ø (50 (Çí ð Ø (73 VË#Ë#a}XŸ`ñ ^`–}[]f—\a Žby+r~|穀n`p5qs{7rçtvjwwsr~t.{rky#v„|ky+y;wsrkwxqsy¨v„|k|k{jƒŒvEy ° |=´ n`p€rkŠ{7©`n`p5qs{7r. tvjwwxrkt.{v„p€ŠŒ‹`ywsy;Š{jp€{¢|ªv¢`y¯€p`rkrk{jp€yhjikhji‡†i Ãy n`y©`ƒsy#Šy#yp5qsr썏y¯€p`rkrk{jp`ríy;ws©`ƒr~t.{jp€{ü|~{÷w¡qy;wwx{eŠ{jp€Šyqsqs{÷wsy|=´ {jƒŒr~pFv„t.yp5qs{7y° qsp`{j{}qp÷vj|~y°y}éFtyqxv`q{ÚéFr~ŠŒpe‹`ºjyRyr~p€|y©€ƒŒn`v„p5|kyjqsé€{.wstyzvjrk|wwx©`rkn€t.p}{¢q{Ú|k{twxvjrªv`wwxi rkt.{Úrªy;vj|~y£`Pr ô y#wxrªwxqsyjé½yz° n`p€rkŠ{€é—t¢y;p5qsƒy “RXZf€ÊfFË#[]–}[]f—\a"U Ž]"U Ž]U _Fî]ô (6í ™ˆVc¢ô„öðö~úZû$ô ” •$–K(j í ò E ïe©`n€p}q{tvjwwxrkt. { ZNî ï7ñò¢òñú„ö~úñ8ò 0H(¤í ºi¿O3ÌˆVƒ‚ÁÓ"( í Ô “ œ‹–K(j í ò E ïe©`n€p}q{t.r~p`rkt.¤ { „)î ï ñò£òzñúZö~úÚñò 0 (£í ÈÕ¿O3QÌ6Vƒ‚ÁÓ"( í Ô – ÄÅwsp€©FyqxrªŠŒqs‹`{÷y;v„ƒ™{e|k° |@´ {jŠ{jƒŒp rkp€tv„t.1v õ yØ p5VŠq{ 0]rkt.p€r~p {jØ qxqV{e3£`|=mv ´ rkp€¿‚wsr~i¨y;t¢ŽbyÚy+|=´ {}y;ƒr©`rkp€n€vjp}t¢qrìy;t.p5qsv}{7wswsyÚ° rkt¢ë5Qrn`y;0Ÿ|~t.|k{¨rkp`|~rky#t¢wswsr rª3¢Š{jº}r ƒv„ô ¯FŠƒ{Fr«ê é rkp€rªŠŒ‹`yƒZ{¢° qv„|kyRr~pFwxrkyt.yzŠ{}p|kHy õt&v õVx0Ÿ|kHy õt.r~ap V83i ­{jpFwxrªyƒrªv„t.{n`p÷ws{„qsqs{}r~p€wsrkyt.y  `Tr RA€y;¨n€p€vÚÿŸn€p`rk{jp`y !j‚ö0!$#Ÿ † †† ¥! S 3÷þ }‡ƒRTSil3yƒçwxqsn€rªv„ƒyRr~|u©€ƒs{}Æ`|~y;tv¢`r æ qxqr~t.rk;vjrk{jp`yRt'n`|«qrkŠƒsr~qsy;ƒsrk{ t&v õ Ø 0 !$#102'"3H †† † ! S 02'93D3 0¡h}i ³ 3 ½ †  1†¬'¯™6 rkp}qƒs{nFŠrªv„t.{.|@´ r~pFwxrkyt.y V¦‚Õӟ![0;'"3P÷¾'¯™ˆ Ô yzŠyƒŒŠŒ‹`rkvjt.{.`r½yqyƒt.r~p€vjƒsyRr©`n`p5qsr rtv}wswsr~t.{.ruqŒv„|kyr~p€wsrkyt.yji Œ \a 3\[]–j[@fF\aø"U Ž]"U Žk· ï

(31) ZHò Aú„ûsò 'Ãí ™Ã cò E mï 9>ï Åú Zî1óô™ñŒñîðó.ú `òûîð9ö ?ûsújõö~òó.ô C ¾•$– ­1ñò ![0 '9í 3Cò E  ï È " Uï Aµú Zîóô™ñŒñîðó.)ú €òWû Vµ– “RXZf€ÊfFË#[]–}[]f—\a"U Ž]"U Žª›’ ø òzñò=$ù €ò>ï =î‚Dô ù¾òûó.ô î]ú„ï€îoñú„ï—ú¥ò ú î

(32) ZôZö~ò>ï =;î ” •$–K'› í ™ˆûNò E c ï ">ï ÅKú „îó.ôZñŒñŒîðó)ú `òûîð ö —ûújõö~òó=ô 0¡$h † ‹³ 3 “ œ‹–£ï—úZïòñîªñ Aú„ï—Nú '©™6üÅôZöÁî « Qò ![02'93=ð Ø ![0 '"í 3 “ ¨\–![02'"38Èi![0 'uí 3¤™6 Ë ¿)óә¦ Ô “ ­U–80 ![0 '9í 3Nº§¿)3)Ì6![02¤3‚Áӟ![0 '9í 3 Ô –. .

(33) *çpøŠv}wx{r~p5qyƒy;wwsvjp}qy£|k{ vjÆ`Æ`rªv„t.{ë5n€vjp€{=¿i‚ŠRTSýz轊{}püqvj|~y.Š{}p`{€éun€p€vws{j|kn`;r~{jê p`ym'9þ þʙÿ 鍏y;|ç©`ƒ{jÆ`|kytvÍ0¡h\† ³ 3éìwxr獏rªŠy1ô„ûsò Aú

(34) ú&@îðóôš¡úøï—ú„ï6jú„ó'îðï?ô&Åôey# ![02' 3Úy¨ ° yqxq{Í

(35) ZôZökúZûsò÷ò  î]òï>Åòi×Ão´ rkp€wsr~y;t.y+`rìqsnqsqsy¨|ky+ws{j|kn`;r~{}p`r1l‚v„ƒyqs{÷{„qsqsrkt¢y '9þəÿ‘®brkyp`y¨rkp€rªŠv„qs{ Š{jpÍ „éìt.yp5qsƒy+|@´ rkp€wxrkyt.yür¾qsnqsqsr9rç®Zv„|k{jƒr1yH,ڊrkypê qs(6rí‚Y ®br~y;p`02(‹y#[ 7y;($p`%[{„ PqŒ†vZ† q†P{ü /Š( {j£p 3¾V ¶n`y'é3®jy`qs{Zqs®j{}KyƒsrV Tr R[‚äS‚èu![ws0;)yò¿j3iü‚lŽbrªv„RTp€Sýœ{ r~'Àp5qsƒ‚·{0;n€'9Š#erkvj 7t¢'U{%e O|kvچ † ws†Oy /º}'n`yS p53Rqyy S p`{jqv„;r~{}p`yjþ ³ 'ǂx(wsy(yzws{j|k{.wxQy ' ‚²( 3©—yƒ1{jº}p`r ?‚ \h †† †H ˜‰‚i ³ ' Z(ò02' (/3íwsyywx{}|~{wsy ' ðZ( 0;' fÉ( 3í©—yƒ1{}ºjp`r ?‚ $h †† †H ˜‰‚i y ' ðÿ( 02' fÁ( 39©—yƒz{}ºjp`r ‚‘$h † † † D‰Ey ³ ' ƒ(g0;' ÿ(73Rwxy.yÚws{j|k{ ws 'j‚x ® (—i Žbyy;p`{„qrkvjt¢{Š{jp ž U0 V83í|ªv'ÿŸƒs{}p}qr~y;ƒv¢Or Vé€v„Æ€Æ`rkvjt.{¢ŠŒ‹`y}þ “RXZf€ÊfFË#[]–}[]f—\a"U Ž]"U ŽkÈ V ¶ ž U0 V839† Œ []_ f—ˁc;XZ^`–j[@fF\a qŽbvjrªv|~y.(6ŠŒ‹`™©y.|=V?´ rk¶ p5qs{jƒyzp`ws{ n`©`µ0©—2{j(9p` rª1v„3(t.{r3©—Ð7yy.°ƒ9Šv}{}wswsp5n`qsyƒŒpb{.nqŠŒ{‹`Ny©€ƒs(§{}©`™©Ë ƒsrªv„ž t."0;y;V?p}q3y£èFvjrkp|~|k{jô¢ƒŒv¢i y;1wsrªrkŠwx{jqsyƒŒ`n€vjp p€Ã{4ŠŒ‹€¦y ©—{}wwx{wsyt.©`ƒy£wŠƒr~®}yƒy µ0;(" $3=‚l(^º =0]7¦ $3é?wxrªv ›™ÕR[Sýzé ¤‚N® ¦`é?v„|k|~{}ƒvwŠy;|~º}{ 4¥¦+qŒv„|kyŠŒ‹`y ə =0]7¦ $3Rr~pEt¢{{üqv„|kyŠŒ‹€K y (ͺ ə²VÚ邊{jp ə²R[ýS Š{}p5qsƒŒvj`rªŠy;p€{¢r~|ÿ]vZqxq{ڊŒ‹`Qy (¶™›V ¶ i × *çp½´ rkt.t¢y#rªvZqvŠ{jp€wsy;ë5n`y;p`;v¢ruqŒv„|kyR©`ƒs{}©F{5wxrkrk{jp€y'yR° |ªv.wxy;ºjn`y;p}qyR{}wwxy;ƒs®Zv„;r~{}p`yjþ VË#Ë#a}ŸX ñ`^`–}[]f—\aø"U Ž]"U Ž]U _?ò ïZò¢E ¥ô €òû şú ¢ìôZöðö~ú„ûsô V?¶ g‚²Î† “RXZf€ÊfFË#[]–}[]f—\a"U Ž]"U Ž~Ò 0;Vu#cºÊV"%3 ¶ 0;Vu# 3 ¶ º²0 VU%Ÿ3 ¶ † l3yƒRŠ{}p5qsƒ{j|k|kvjƒsy¢wxcy V?¶ ÷y.° p`{jp®bn`{„q{©—{}wwxrªv„t.{+wxy;ƒs®brkƒŠr‚v„p€ŠŒ‹`y.y;| ø òó'óô „î ú„ûï€i Œ \a 3\[]–j[@fF\aø"U Ž]"U Ž~Ò _Fî]m ô 02 a38ï÷îðï€ñî]òó5ò —ûòú„˜û Zîðï?&ô Å^ú   î]eú ò E ÅôZö~ò « ò ñî]ô ûî ±1òñŒñî

(36) ZôÚ)ò =ûsôZï€ñî @î

(37) Zô¢ñ 81–a02 a39ñeî „î  ò!r~p€`nqxqr~®Zv„t.y;p}qyR{jƒŒr~pFvZqs{ ñòzúù„ïFîñ €ú ñ&ú Aú„îðï`ñî]òó.8ò Å&ú ÅôZöÁóòUï Aò'úZ˜û „îðï—1ô Aú ôZó¢ó. ò ANò ïüöÁîðó¢î Aò£ñ  `òûî]úZûò – ˜oŽbn`ab©€_ ©F_E{}p`^ürkvjt.Y[ {

(38) oŠŒf€‹`XZyÍ\ 02 a3ÚwsrkvEr~p€`nqxqr~®Zv„t.y;p}qy÷{}ƒ`r~p€v„qs{Fi Õç|k|~{}ƒvg Š{}p}qr~y;p`yen€p y|kyt.y;p}q{.t.v}wswsrkt¢{Fi Ï a5fFXZab_ L ^ "U Ž]"U Ž]U œ )_Fî]g ô ïgïüñ1ú  ÅúZîðï€ñŒî]òóò¢ï—úZòï

(39) €1ú A+ú ZTî R[S%ò£ñ  \ `ú„ï€î]ô„ó.ú ò òñî]ñŒô îªñ ÅNô ú„óW( €ô&™¯Aô\V§–Ð9 `òöðö~û úZûs ôî‚V—¶ö~ô.¯ñò ‚²® î]úZÎ> ò V L ‚lÓ(Ǚ¯V¿eþ (Çð Ø ( L Ô ‚ƒ0&( L ºi¿Q3)̈« V  Œ []_ f—ˁc;XZ^`–j[@fF\a ô rªy;v×yü° `r¾n€wv„ƒy+|kv7Š{jt.©€vZqsqsy;;v7L `r5V L ©—yƒt.{}wxqsƒŒv„ƒy+ŠŒ‹€y¨{jºjp€r¾Šv„qsypFvør~p¶V L ‹€v+{}ƒsn`p

(40) pøƒsrª|kŠr~t.v™®br~qsrªv„yt.ws{n`©—ŠŒy‹€ƒymr~{}ƒsV y}LiŠÕç{j|kp5|k{jqƒŒr~y;+v p`Vy+n`p×y.° yr~pF|kyt.nqxyqp5r~qs®Z{øvjt¢ty;vjp5wqswsyÚr~t.{}ƒ{¤rk(7p€þ„v„è1qs{+©—yyڃڍ`Šv„{}|t.é`y|~t.yqtvjƒsv¨y+|ªv r lrkƒt.y;ws{}{¾wxqsn€ƒŒp€v„vRrkwx{jn€p€Š;y9Šy#t.ws{}wsr~wx{}qsp`ƒyy5ƒÓy(t.{.Ô ŠŒ‹`Qy (>r`þ'©€n`y(° p5Hy qs,Úr`Šr7rkyR[p5S‚qsyé5Šrk{j+p p ô'Ri r~pFwxrkyt.y1rrkp€rªŠr=éjrkp€rªŠŒ‹`rkvjt.{ Š{}pewsn`© Ø Ó( ÷ ™ Ô |=´ y#w¡qƒsy;t¢{wxn`©—yƒrk{jƒyjé?wxy#Š{jpF{Ú|=´ {}ƒrkp€vjt¢y;p5qs{rkp€{„qsqs{ `=v M¢é h#¦ . .  .

(41) . . . . . . . . .

(42) . . . . .  . .  . . !. $#. %. (. ( . . ". ". ). . ". &. '. ( . ". ( .  .  . "*+.  . "*.  . ,. .-. /-. 2-. 43. 2-. +5 76. "*. 8. >. ?<. :9 ;. =<. 10.

(43)  r3qŒv„|ky.wsn€Š;Šy;wwsr~{}p`yji£ŽbrªvmV L |ªvwsy;Ôr~{}p`y¢Š{jt.©€v„qxqv Š{}p5L qsypbnqŒvrkpòôãywsrkv€é`vZq{n€p rkp€wxrkyt.Ô y¢rrkp€rªŠr3ÕzéAÓO(  >Ɛ™ n€p€vŠ;vZqsy;p€vrkpV i9Žbrªv ü‚ƒÓT— þ÷ —÷ Š:xv„qsk y;p€mv |@V ´ r~pFwxrkrk¤pyt.V y£L é½r©—qsynƒ£qsL qs{jr½ºjrp€wxÄr {j—jqxqs{}™ r~pFéwxrkyt.wsrr?¯€‹€p`v+r~qsŠŒr‹`ycr( rkp€‚ÎrªŠr½wxŠn€{j© p5Ø qsy;Ópb( nqsrþ)rkp¨Æ¬Õz™èF©`— ƒsy#Ô wsv¢y;L wsn`rªw¡pFqvy y;Æl ™ y'° qzv„|kiÚy.ŽbŠŒr‚‹`y‹€v+( ŠŒ‹`™Êcy V V i¢­V{jp€L wsrªyyŠŒƒ‹`{Úcy qV nqxqry.° ºjŠ|k{}r3t.r~p€©€wsvZrkyqst.qs{¨Är `V vZq{¨‚䊌‹`0;y( Íy¢° n€ºÉp¿Pws38{„qs̯qs{jrkV p€wsr~y;Št.{}p y ŠŒ‹`rkn€ws{r½n€peŠ{}t¢©FvZqxq{€èFr~p`{}|«qƒsy}é—wsy —ˆ™ wsr½‹€=v Ì ŸV L ‚ÿ® Î.`vZq{ŠŒ‹`yz{}ºjp`Tr V Š{}p5qsrkyp`yv„|kt.yp`{ ( i‚ÄÅp¯€p€yjé`º}ƒvjrky(vj|~|ªv.Š{jt.©€v„qxqy;v.Pr V é`y#wxrªwxqsy A@. C@. ?B. . D. . DB. @ F. . ( Q™ EG. B. A@. E@. @. . @. . &. @. 9. . @. @. 0;( ºi¿O3ÌˆV L @. IH 9J. Ô t.ŠG rk{€yy8p5° qs( y{}ðƒ`Ø r~p€(v„qs÷{¢©Fy;y;+ƒv„{jt.ºjp€t.rÄyƬqsqsyz™ Š{j£t.éyR|~rkrkt.t.{}r«qwxyzqsƒŒwxv„n`p€©—y{+ƒrkŠŒ{j‹`ƒy+y9©`Ó(ƒ{j㩀LƒsþQrk{Æl( ™ i y¢° rkp€n`qxqsrk®ZvZê ƒŒv„rky+v„|çÃy;t.t.vør {jƒpE©—{}wwxrªv„t.{øŠ{jpFŠ|kn€yƒy¨ŠŒ‹`ymV Š{}p5qsrkyp`y n`p×y|kyt.yp5q{ tŠŒ‹`vjyçwŠwxrkrAt.{° p`={ {}(>pþ„wxi rªv(1®jr~tyƒvj{€p`é}yv„|k|~`{}vƒv9`y;r~t.wsrkwx{}qswxy;qsƒsƒŒy;v„Æ`ƒƗy.cy ŠŒ‹`(Çí y ™ˆ(7þ¶V֙ÉqŒv„V—|kyç¶ ŠŒF‹`yi(¶íŽbn`4©`ØC©—{j(>p€þZrkvjè5t¢v™®5{+ƒy©—t.yt.ƒzv}{wsv„wsn`p€ƒŒŠŒ‹€{y ŠŒ‹`y L @. A@. G. DB. A@. DB. G. 8. /#. "*. (Ç í ™§02( þ ºi¿P3QÌ6V ( ºi¿P3QÌ V·º§¿ ïV ;( L º§¿O3QÌ V·º§¿ ‚²V L ºi¿ Š{}p5qsƒŒvj`rªŠy;p€{¢|kv¢tvjwwsr~tv„|kr~q™v.° rP(>þ9rkpmV L i × 1y#w¡qƒsrkp`ºjy;p€{5wxr—v„|uŠv}wx{¿¯‚xR[Sý érk|Fqy{}ƒsy;t.vhjikhjikh9Š{jp5qsrkpbn€v£v'®Zv„|kyƒyjé5y(©—{}wwsrkv„ê LKNM. . M. M. M. . PO.Q. O. t.{.r~p5qsƒ{n`ƒƒsyR|ªv.wxy;ºjn`y;p}qyy¯€p€r~;r~{}p`yjþ Œ ' þ ™›C¢´}òö7 —ûsú}õökòóôò•\– ­&Ÿ¢=ò?E jò Aô l‚v„ƒyq{ Ø ï?úZ ï ï—òôñîªññ úZÅö úZ\ï?úî]úZï?'ç5ò ™ƒ {„qsqs\a rk3t\v7[]–j[@fFyÆ—\{jaø|ky7"U Ž]ñ"U ò¨Žª² ÒÅôZöÁî « ò+![02'93©4 ![02'uþ3 ¢  î]úeòòE ÅôZöÁî « ò ! ˜02'"3+4x! D0;'9þ3´ €òû£úsùjï€î ?‚ $h 7† †† †H ˜‰`– ø îðï€ñî]òó5ò }òöðökò1ñúZ-ö \î]ú„ï€Uî 1ô„ûs ò Aúz1ú  =îðóaò jò#õŒúZöÁuî

(44) #î]òï—ò1îð9ï Zî  &ô Åúûîªñ €Hò =î

(45) ™ô„ó.ò>ï Åò  úZï  Ÿ¢òzîðö  úZûûîªñ `ú„"ï }òUï Aò'îðï`ñî]òó.?ò Z`î

(46) ™ô„ö~úZûÄî

(47) #î]òï—ò'îð"ï „î  1ô Aú  úZµ ïV ¶ –  ° r~t.t.y;`rkv„qs{p`{jqv„ƒyRŠŒ‹`)y   yŠŒ‹`yRn`p+©`n€p}q{ (>þò™ˆV ¶ wsy h}i1p`{jp y;wsrkwxqs{}p`{ (¶™ˆV!qŒv„|krŠŒ‹`)y (£ÈÕ(>þò™ ‰u½¾R[ýS è †`Ni 02(>þcº ‰u½¾R[Sý 3)Ì6Vƒ‚·Î`i #. R. R. . TS. UWV "*. /UWVPX. . P. UWVPX. UWV  . Y. Z. ÛÜ. [. Ãæ Wßá mæ á \. ^]. X]`_. ba. ãNé ã)ëÄáHêêã)êWáHè?ßmæ. cd]. Z®Ýv„r~p€|k{j{jƒƒŒy'v¨v„r‚Æ`n€Æ`p€rªv„vt.Š{e{jt.ws©`©—rk{jyp`º5y;vZ ° p}qs{üqy¢Š`{jyt.|k|kyjvé3ÿŸ©—n`yp`ƒ';r~|~{}y p`wxy.{}|~{jn`Æ`;rkr~y{}qsp`qsrkro®jl‚{€é?vjƒsp`yy.qs{¨{jqx{„qsqsy;qsp`rkt.rªv„t.yjé3{t.n€r~p`º}|~{rk{j©—ƒŒv„yº}p€ºj`rk{¨{jƒr~y | q©—vjyºjƒzº}v„r~{¢|kt.ŠŒ‹`yp`y¢{ y(° n`wxpqv„´ v„qs{¢|~qsƒŒ{„v`qsiqsypbn©—q{€{}éwwstr~Æ`v'rk|ky¢qvjt.|~yRrªwxt.n€rkƒwsvjn`ƒsƒŒy£v£q©€v„n|ky.{.° ©Fƒsrªy;wxºjn€º}|«r~qŒ{}v„ƒƒvjy9t¢rk|~y;|krkp5t¢qs{r~qv„ƒrªqwxv€©—èy|~qsyqs{+ws{jv„|kn`|‚®Zrkv„{jpp`êr ©—yƒç|kyë}nFv„|kr@érkpb®jy;ŠyjéuyR° |kr~t.r~qv„qv.®jy;p`ºj{}p`{'`yqxq?y 1ô„ûsHò Åú1ú  =îðóò ?ûs¥ú ?ûî]òi Œ qsrkt\a 3v\©`[]ƒ–j{j[@©`fFƒ\rªv+aøñ"U ò¢ŽªP’ òŽ]ñU îªñ A ò8ôïeñïUú„ö \ó.î]òúZûsï—ú 8ò 1ôZ4ûs ò ŦúüA&ú ô„ö~@òîðó¥Ÿô« ¢Äò ¢A'u `þšòû'™§úù„CïF¢mîîðKò E ï"j„ òî  ò¢Aôeîíl‚òWv„ `ƒòyû'qs{úù„{„ïFqxê î '¯™ˆ « òRñú $„îªñ ?ô ! ˜02'"3+4À! ˜0;'9þ3¢oòñîªñ ÅQò ï¨îð9ï Zî  ò  €òû  9î ! \0;'9þ3=4! \0;'"3zò =e. R. R. ! ˜02'93?ȧ! ˜02'9þ3 ! 20 ' þ 3?ȧ! 02'93 f ¡† R g. R. g. h}h. e. f. 2g. 2g.

(48) f2 Y = { (x,y) : 0 < x < 1 , 0 < y <= 1 } Yw−eff. 1. Y 0. f1. 1. h. Ýr~º}n`ƒŒvh}i ¬€þ I y|k|kv'¯€º}n`ƒv£©F{5wswsrªv„t.{'®}y;y;ƒsy9n`p y;wsyt.©`rk{.`rwx{}|~n`;r~{}p`r?l‚v„ƒyqs{'{„qsqsrkt¢y y;ÆF{}|~r©—yƒ1n€p ©€ƒs{}Æ`|~y;tv¢`rtvjwwxrkt.r~;;v„;r~{}p`y(Æ`rkŠƒsr~qsy;ƒsrk{€i Ë;ab_7Ê3[]fEUUŽð’uŽ@U —_ î]ô. ¬‚ "02'u#[ /'"%3™mR % ÷ 02'9#È

(49) hŸ3 % º602'"%È

(50) hŸ3 % fÖhÄ uh)fg'u#[ 7'"%Qf׆  ![02' # 7' % 3`‚©0 ! # 0;' # >' % 3 ¥! % 02' # /' % 3˜3`‚©0;' # >' % 39 Fi.

(51) j. 2. 1. 0. 1. 2. ò'ñ  $ €úZïFî]ôZóú Zî úZï`ñî;}òûsô„ûsòîðöU 9ï>Åú(>þ)‚Z0¡h\ †$3– FôZö~ò5 9ï>Åúï—úZïiòE çôZûsò Aú ú&ôjõ#=õîðî]ó.ôZóú=ú ?ûsú¥ ?òaûî]' ú$– 4Ãï'uþ ô& òa@î '¢a —ûs:Ãòñ'9úøþ îðòö[ 9îðï?ï>úZÅöúm=ûsò' ¤‚ hº / ;hº hÈ % &¢  ú„ï ¶4¦7¢ « # # % % |~rkt L !$! %#&0202'"' 3cþ 3?ȧÈi!$!#Ÿ%0;' 0;'"þ 33 ‚ |kr~t L † ÈÍ0x0x´h h º º 13ThÈJÈ h % 3 ‚!|kr~t L h È h È % ‚ˆkx Zîðóú™ñ =ûsôZ9ï jú ¥« 5ò (7þï—ú„¦ ï ò E ï—ô¢ñúZ-ö \î]ú„ï—)ò 1ô„ûsHò Åú1ú  =îðóô —û¥ú —ûî]\ô –ü× h™† lk. m. on. M. on. p. rq. s. t. nvu. O. on. nvu. rq. . s. n7u. wq. l. t.

Riferimenti

Documenti correlati

Poich´ e abbiamo solo modificato uno dei termini noti del problema, i costi ridotti relativi alla base B non cambiano, dunque la base rimane ammissibile nel duale... Dunque, poich´

[r]

[r]

Questo ovviamente presenta due problemi: prima di tutto, se il problema ha infinite soluzioni l’enumerazione completa non `e possibile, e anche se la regione ammissibile contenesse

Non ´e difficile vedere che x ∗ {ab} = x ∗ {ac} = x ∗ {bc} = 1 2 ´e la soluzione ottima del rilassamento lineare di (10) in questo caso, e dunque il valore di tale soluzione ´e 3 2

Dunque la solu- zione ottima intera di (P 3 ) avr`a valore z 3 I ≤ 22.5, ma poich´e abbiamo gi`a determinato una soluzione ottima intera con valore 23.5, `e inutile

• Anche qualora fosse nota, la formulazione ideale potrebbe avere un numero assai elevato di vincoli, e dunque il problema (7) non pu`o essere risolto direttamente con i

- Il bambino fa corrispondere ogni lettera che scrive casualmente ad una sillaba fonetizzata, senza che vi sia un’esatta corrispondenza con il suono della parola.