Algorithmes génétiques hybrides en optimisation combinatoire
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(18) E C ®. ¯. ±. ` #) (xM }i rwk £ sMprmñk;Õ(l(ðIpñtks k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwkon : q ÒÓj(mñk6o.ï q Ñ ãUq Ò Õ q3j.ï6ðIq ãUq sMp kk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwkonwk : qj.ï6ðIq ãWq s2pÓÕ q3j_k6mñprq ÒÓïk6ítyx l q Ò klk5k5kk5k5kklk5k5kk5k rwkonwkon : qj.ï6ðIq ãWq s2pÓÕ qðIq ïàïl(ïq ÒnÒrpñ6s.Õ(!m Õ(Ò k5k5kk5k5kklk5k5kk5k rwkonwkom : qj.ï6ðIq ãWq s2pÓÕ qðIq ïàïl(ïq ÒnÕ(tÔ6qm Òrq Ò klk5k5kk5k5kklk5k5kk5k rwkom : q ÒÓprm Ô!6l;ôöÕ§Aq ÷ WÑ q |iq ðIpñl§q ÷ Ò klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwksp 8 k6prmñqSãWk;Õ§q ÷ ïtÒ !pñtks k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwksp k : Wj.ï x l qprprq kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwksp kon : q ÒÓðIkãWj_kÒñ6s2pñÒ k5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwksp kom : q ÒÓðIks(s qIô tks(Ò k5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwksp ksp : Uïks íl q l(m Õ q Ò ðIks(s qIô tks(Ò k5k5kklk5k5kk5k5kklk5k5kk5k rwksp kor bs q q l(m tÒrpñyt x l q k5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwkor bsö6ïí6k6m tp ãWq3í'q ÷ s|q÷ pñyt x2l(qaW Ñ m qj(m q ÷ Òrq s2pñ!pñtkswts.Õ(tmñq ðIprq kklk5k5kk5k rwkov bsö6ïí6k6m tp ãWq3í'q ÷ s|q÷ pñyt x2l(qaW Ñ m qj(m q ÷ Òrq s2pñ!pñtkswÕ(tmñq ðIprq k5kklk5k5kk5k rwkovwk : Wmñqj(m;q ÷ Òrq s2pñ!pñtks k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwkovwkon £ s(tpñt6ïàtÒñ!pñtks kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwkovwkom û§m ktÒrq ãWq s2p k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwkovwksp l pñ!pñtks k5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwk¡{ Yq ÷ Òñl.ïpñ!pñÒ k5k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k rwk û§ks(ðïàl(Òñtks k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k V + 2 - ° x;),) )#.# + î q ÒñðIm tj.pñtksöÕ(lYj(m k6o.ï,q Ñ ãWq k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwk vwkon k Õ§q ÷ ïtàÒñ!pñtks klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkonwk : qprqmñm 6ts k5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkonwkon : UðIkl Ô6qmñpñl m q kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkonwkom : UÕ q ãU6s(Õ(q k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkonwksp : q ÒÓðIq ïïl.ïq Ò k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkonwkor : e ²ks qøÕyò tàsMprqmñõ q÷ mñq s(ðIq Ò k5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkonwkov : q ÒÓts2prqm ðIq ïïl.ïq Ò k5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkom : qøj(mñk6o.ï q Ñ ãWq k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwksp 7 pñ!pbÕ qï ò !mñp k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwksp k 7 ô prm 6ðIpñtkswÕ(lYm;q ÷ Òrq 6l kk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwksp kon : ò 6ïïk;ð!pñtksöÕ q3õ#m 9q ÷ x2l(q s(ðIq Ò kk5k5kklk5k5kk5k5kklk5k5kk5k vwkor : ò 6ïí6k6m tp ãWq3íq ÷ s§q÷ pñyt x l qµq söl(s q3j6ÒñÒrq k5kklk5k5kk5k5kklk5k5kk5k vwkorwk : UÒñ6s2p2q ÷ kk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkorwkon : ò q l m tÒñpñyt x2l(q kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkorwkom : qøðImñktÒrq ãUq sMp kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkorwksp : UãSl(pñ!pñtks k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkorwkor : UÒ2q ÷ ïq ðIpñtks k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwkov Yq ÷ Òñl.ïpñ!pñÒ k5k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k vwk¡{ û§ks(ðïàl(Òñtks k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k R i}<x2) # } {+k Yq ÷ Òñl.ãCq ÷ kk5k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k {+k k : q Ò j(mñk6oï,q Ñ ãWq Ò Õyòók6j(pñtàãUtÒñ!pñtksYðIkãSo.ts(!prktmñq kklk5k5kk5k {+k kon : q ÒÓ6ïí6k6m tp ãWq ÒÚí'q ÷ s|q÷ pñyt x l q Ò k5k5kklk5k5kk5k5kklk5k5kk5k. ¯Jj vm vm vm vp vp vr vr vr vv v1{ v1{ v { {n {n {n {n {p {r {{. 6 . ± {. !4 ! ! ! ! ; n m m m p. v. 1{ 1{ 6 6 64 64 64 4! Jj m m m. 4 4 4. ¬.
(19) E - [. : òók6mÀÕ ks(s(6s(ðIq ãUq sMp kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5k 4p : qøj.ï6ðIq ãWq s2p k5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5k 4p : q Ò m q ÷ Òrq 6l;ôwðIq ïïl.ï6tmñq Ò klkk5k5kk5k5klkk5k5kk5k5klkk5k5k 4p {+kon ¦ mÀ Ô!6l;ôaõ#l pñl(m Ò k5klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5k 4p {+konwk : qøj.!m 6ïïºq ÷ ïtàÒñãWq k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5k 4r {+konwkon : q ÒÓ6ïí6k6m tp ãUq Ò Õyòzq9÷ x2l.tj_q Ò k5k5kk5k5klkk5k5kk5k5klkk5k5k 4r Z }'}' ° + ± wk 9 prm l(ðIpñl(mñqÕ q Òní6m !j q Ò l pñtïàtÒ2q ÷ Ò klkk5k5kk5k5klkk5k5kk5k5klkk5k5k 41{ wkon Yq ÷ Òñl(ïpñ!pñÒ j_kl m ïq3j(m k6o.ï,q Ñ ãWqÕ qøïòók6m Õ ks(s(6s.ðIq ãWq sMp kk5k5klkk5k5kv1n wkom Yq ÷ Òñl(ïpñ!pñÒ j_kl m ïq3j(m k6o.ï,q Ñ ãWqÕ(lajï6ðIq ãWq s2p klkk5k5kk5k5klkk5k5kv69 n {+k kom {+k ksp {+k kor. ³. ¬´T.
(20) µ. b;]3`¶Z. \. Z^]. ·. ¸º¹. fhZ^]. 9 q ÷ j.!m !pñtks ÷qÔ 6ïl.!pñtks k5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k 6 Ð ïí6k6m tp ãUqÕ qïWÕ q ÒñðIq s2prqSÕ.lYí6m 6Õ(tq s2p kklk5k5kk5k5kklk5k5kk5k p Ð ïí6k6m tp ãUqÕ(lYmñq ðl(tp Ò tãSl.ïÀq ÷ kk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k 9r Ð ïí6k6m tp ãUq3pñ!oikl k5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k 9v Ð ïí6k6m tp ãUq t Ð 9 kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k { : q ÒÖðIkïks(tq ÒÓÕ q3õ-kl(m ãUtÒ k§k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k Ð ïí6k6m tp ãUq3í'q ÷ s§q÷ pñ¨t x2l qµp j_q klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k nn mwk mwkon : °Ò2q ÷ ïq ðIpñtksöj!m mñkl(ïqprprqøo.t6tÒ q÷ q k»kk5k5kklk5k5kk5k5kklk5k5kk5k nm mwkom : qøj(m ts(ðtjiqbÕ(löðImñktàÒrq ãWq s2p k*klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k np mwksp 7 ô;q ãWj.ïqÕ qãSl(pñ!pñtks kck5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k nr Ð ïí6k6m tp ãUq3j.!m 6ïï q Ñ ïqÕ(qÒrp ;ïqøãU zprmñq q Òñðï Ô6q k¼k5kk5k5kklk5k5kk5k n64 mwkor Ð ïí6k6m tp ãUq3j.!m 6ïï q Ñ ïqÕ(qÒrp ;ï(q zïq Ò k5kk5k5kklk5k5kk5k5kklk5k5kk5k m! mwkov p k 7 ô;q ãWj.ïqÕyò l(sYk6m Õ ks.s(6s(ðIq ãWq s2p Ô!6ï!o.ïq k«klk5k5kk5k5kklk5k5kk5k mp p kon t m !j qøÕ ks2p ïWÒrkïl(pñtksYk6j(pñtãU6ïqsyòóq Òrp j.6ÒÓ!prprq tís(!o.ïq k k5k5kk5k m6 Ð p kom ïí6k6m tp ãUqÕyò l(s q q l mÀtÒrpñyt x l q k(k5k5kk5k5kklk5k5kk5k5kklk5k5kk5k¤p( p ksp : qSðImñktÒrq ãWq s2pÓÕ qïò 6ïí6k6m tp ãUq þ 9 t k5k5kklk5k5kk5k5kklk5k5kk5k¤p>m p kor 7 ô;q ãWj.ïqÕ qðImñktÒrq ãUq sMp k5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k¤p>r p kov 7 ô;q ãWj.ïqÕ q3í6m !j q6l(íãWq sMp q ÷ k5k5kk5k5kklk5k5kk5k5kklk5k5kk5k¤p>v p k¡{ : °ãSl pñ!pñtksöÕ qøï ò 6ïí6k6m tp ãWq þ 9 t½kk5k5kklk5k5kk5k5kklk5k5kk5k¤pM p k £ ãWj_k6mñpñ6s(ðIqøÕ(lað kt ôaÕ(laj(m k ðIq ÒñÒñq l m k«k5kklk5k5kk5k5kklk5k5kk5k rn p k 4 7 ô;q ãWj.ïqÕ(laðImñktÒrq ãUq sMpÓÕ(q þ qm ï6s(Õ k5k5kklk5k5kk5k5kklk5k5kk5k rp rwk : qøj.ï6ðIq ãWq s2pÓÕ q3j_k6mñprq Ò ïk6íyt x2l(q Ò k5kk5k5kklk5k5kk5k5kklk5k5kk5k vp rwkon : qøj.ï6ðIq ãWq s2pÓÕ qðIq ïïàl(ïq ÒnÒrpñ6s(Õ.!m Õ(Ò k5k5kklk5k5kk5k5kklk5k5kk5k vr rwkom : qøj.ï6ðIq ãWq s2pÓÕ qðIq ïïàl(ïq ÒnÕ(tÔ6qmÀÒrq Ò kk5k5kklk5k5kk5k5kklk5k5kk5k vv rwksp bs qj.ï x l qprprq klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k v1{ rwkor kk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k v6 bsöðIkãWj_kÒñ6s2p rwkov : °ïks íl q l m Õ(q Ò ðIks(s qIô tks(Ò kk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k v64 rwk¡{ 7 Òñj.6ðIqøïto.mñq k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k { rwk : qSðImñktÒrq ãWq s2p klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k {m rwk 4 : °ãSl pñ!pñtks k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k {p vwk 7 ô;q ãWj.ïqÕ qðIq ïïl(ïq Ò k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k ; vwkon ¾ ks qSÕyò ts2prqmñõ q÷ mñq s.ðIq Ò qp í6m !j qÕyò ts2prqmñõ q÷ m q s(ðIq Ò kk5k5kklk5k5kk5k n vwkom Yq ÷ Òñl.ïpñ!pñÒ×wm;q ÷ Òñq 6l;ôwðIq ïïl(ïà6tmñq Ò k5k5kk5k5kklk5k5kk5k5kklk5k5kk5k 4! k 9 prm l.ðIpñl mñqÕ qÕ(tÔðIks x°qpÖtp2q÷ m !pñtõ k5kk5k5kklk5k5kk5k5kklk5k5kk5k 14 { w nwk n kon w nwkom nwksp nwkor nwkov. ¬´TT.
(21) olÀ¿ÂÁÄÃÄC. wkon 9 prm l(ðIpñl(mñqÕ qÕ(t6ãUks(Õ qpÓÕ(t6ãUks(Õ nÅkk5k5klkk5k5kk5k5klkk5k5k 41{ wkom 9 prm l(ðIpñl(mñqÕ q3o_q ïïõ#k6m ÕeqpÓí6l(ÒñÒ klkk5k5kk5k5klkk5k5kk5k5klkk5k5k 46 wksp 9 prm l(ðIpñl(mñqÕ ªq |_p qp j(mñkïk6í kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5k 46 wkor 9 prm l(ðIpñl(mñqÕ qÕ(t6ãUks(Õ m¥k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5k 464 wkov 9 prm l(ðIpñl(mñqÕ qÕ(t6ãUks(Õ pÆk5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5k 464 wk¡{ 9 prm l(ðIpñl(mñqÕ 5q x ðÕ klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv6 wk t m !j qÒñÒñð rÇk5kk5klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv wk 4 Yq ÷ Òñl(ïpñ!pñÒ×wo_q ïïõ#k6m Õ n o k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv1 n wk Yq ÷ Òñl(ïpñ!pñÒ×Õ(tà6ãWks(Õ o k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv1 m wk6 Yq ÷ Òñl(ïpñ!pñÒ×Õ(tà6ãWks(Õ n o k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv1 m wk9 n Yq ÷ Òñl(ïpñ!pñÒ×Õ(tà6ãWks(Õ m o k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv p wk9 m Yq ÷ Òñl(ïpñ!pñÒ×Õ(tà6ãWks(Õ p o k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv p wk p Yq ÷ Òñl(ïpñ!pñÒ×Õ(tÔðIks x kk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv1 r wk9 r Yq ÷ Òñl(ïpñ!pñÒ×tp q÷ m !pñtõ n o k5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv1 r wk9 v Yq ÷ Òñl(ïpñ!pñÒR× |_p n o klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv1 v wk { Yq ÷ Òñl(ïpñ!pñÒ×wí6l(Ò ÈÒ o kk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv1 v wk Yq ÷ Òñl(ïpñ!pñÒ×ãUÉÒ í6l(ÒñÒ k5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv> { wk 4 Yq ÷ Òñl(ïpñ!pñÒ×.j(m kïk6í klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv> { wkon! Yq ÷ Òñl(ïpñ!pñÒ¥ × x ðÕ n o kk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv wkon; Yq ÷ Òñl(ïpñ!pñÒ×wq ïo_k ÊqpÓðÒrpñ6s õ#k6m Õ klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv wkonn Yq ÷ Òñl(ïpñ!pñÒ×ÒñÒ ð r qp v k5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv4 wkonm Yq ÷ Òñl(ïpñ!pñÒ×ÒñÒ ð { qp k5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv4 wkonp Yq ÷ Òñl(ïpñ!p×ÒñÒñð 4 k5klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv6 wkonrǦ q ãUj.Ò Õ q Ò q l m tÒrpñ¨t x2l q ÒÚÒñl.tÔ 6s2p ïq3s kãSo(mñqÕ qøp 6z ð q Ò k5k5klkk5k5kv66 wkonv Yq ÷ Òñl(ïpñ!pñÒ× ( k5kk5klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv69 n wkon1{ Yq ÷ Òñl(ïpñ!pñÒ× nk5kk5klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv69 m wkon6 Yq ÷ Òñl(ïpñ!pñÒ× m qp pËklkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv69 m wkon64 Yq ÷ Òñl(ïpñ!pñÒ× rÌk5kk5klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv6 p wkom! Yq ÷ Òñl(ïpñ!pñÒ× vk5kk5klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv6 p wkom; Yq ÷ Òñl(ïpñ!pñÒ× { qp Í klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv69 r wkomn Yq ÷ Òñl(ïpñ!pñÒ× 4 qp kk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv69 r wkomm Yq ÷ Òñl(ïpñ!p× 6 kk5klkk5k5k5kk5klkk5k5kk5k5klkk5k5kk5k5klkk5k5kv69 v. ¬´T7TT.
(22) µ. b;]3`¶Z. \. Z^]. `ÇVXW. Y[ZgVι¤Ï. ¦ !o.ïq 6löÕ q ÒÓÕ(tÒrpñ6s(ðIq Ò k5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k p k Yq ÷ Òñl.ïpñ!pñÒÓq s n q l mñq Ò9Ð(6ïí6k6m tp ãUq ÒøW Ñ mñqj(m;q ÷ Òrq s2pñ!pñtksÕ(tmñq ðIprq k§k5k¤pM4 p kon Yq ÷ Òñl.ïpñ!pñÒÓq s n q l mñq Ò9Ð mñqj(m;q ÷ Òrq s2pñ!pñtkswtàs(Õ(tmñq ðIprq kÇk5k5kklk5k5kk5k rr p kom Yq ÷ Òñl.ïpñ!pñÒÓq s n q l mñq Ò9Ð(6ïí6k6m tp ãUq Ò £r9 U Ñ mñqj(m;q ÷ Òrq s2pñ!pñtkswtàs(Õ(tmñq ðIprq kÑrv p ksp ©Öq l m tÒrpñ¨t x2l q Ò_×wm q ÷ Òñl(ïpñ!pñÒÓq söl(s qtp q÷ m !pñtks klk5k5kk5k5kklk5k5kk5k r1{ Ð ðð.q ÷ ïºq÷ mÀ!pñtks(Òbk6o(prq s l q Ò k5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k r6 p kor p kov ¦ q ãWj.Ò ãWk 6q sÕçòóqIôq ÷ ðl pñtksÕ q Ò q l(m tÒrpñyt x l q Ò§q söãUtàïïtÒrq ðIks.Õ q Ò k5k r64 rwk ¦ q ãWj.Ò ãWk 6q sÕ(qï ò q l m tàÒrpñyt x l q k5k5kk5k5kklk5k5kk5k5kklk5k5kk5k {r rwkon : Eq ³q löÕ(q3prq ÒrpñÒ kk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k {v rwkom Yq ÷ Òñl.ïpñ!pñÒ k5k5klkk5k5kk5k5klkk5k5kk5k5kklk5k5kk5k5kklk5k5kk5k {{ vwk Yq ÷ Òñl.ïpñ!pñÒ×wm;q ÷ Òñq 6l;ôwðIq ïïl(ïà6tmñq Ò k5k5kk5k5kklk5k5kk5k5kklk5k5kk5k 64 nwk. TsÒ.
(23)
(24) CÆ*qÓ;¨*Æ*Ô Õ. Ö?×CØÙ×qÚÜÛqÝ
(25) ×CØÙ×CÞ(ßà. §û qprprq3p q Ñ Òñqbm qj(m q ÷ Òrq s2prq3prmñktÒÚ6s(s§q÷ q ÒnÕ qbprm Ô!6tï_qpnðIqdprm Ô!6tï_Sj.lYÒrqbÕ§q÷ m kl(ïqm Õ(6s(ÒÓÕ q3o_ks(s q ÒnðIks(Õ(tpñtks(ÒÚqpÓl(s(q!í6m q ÷ !o.ïqø6ãSo.t6s(ðIqS6löÒrq tsaÕ(l :£ k á q§pñtq s(Ò'Õ(ks(ðdb Ñ mñq ãUqm ðtqm½ïq ÒÕ(t |Óq÷ m q sMprq Ò½Òrq ðIm;q÷ pñ6tmñq qÒ x l(t2ãöòóksMp+j_qm ãUtÒ'Õ qnÒrk6Ém pñtmbÔ tÔ 6s2pÖÕ q$ðIqprprÕq rl.s íïqS6Õ.ãUts(tÒñprm !pñtÔ6qø Ô6q ð$q âeð6ðtp2q ÷ k Ð tàs(Òñãt Ð.Ò l(tÔ!6sMpbï òók6m Õ mñq 6ïj !o§q÷ pñyt x2l(q Õ q Ò&j(m;q ÷ s(kãUÒ ÐdâUq ÷ s§q ÷ Õ(tàðIprq еû m tàÒrprq ïïq äåÐûnï6tmñq Ð á k;ðIq Âï s(q Ð !m tq Ð 8 6Õ_qÑ í6q Ð 8 tðIkïq Ð 9 ;ïÔ;tq Ð 6ïºq÷ mÀtq ÐÚq5p òóq s kl o.ïtq ÿ,tÄï CPã q z ãWq Õ q ÒYð qm ð q l m Ò Õ(6s(Ò§s k6prmñqdï!o_k kk9k ksMp§prkl rkl m ÒÚÒñl°ðIkã°ãWq sMpÚm;q ÷ Òrkl.Õ mñqdïq Òj.mñk6o.ï q Ñ ãWq Ò|qpÚprm 6ð6Ò 6Õ(ãUtàs(tÒrprm !pñtõ#Ò k á qbpñtq s(Òn6l(ÒñÒñt $ Ñ mñq ãUqm ðtqmnïq3ðIkãWjÚq÷ prq s2pÓj_qm Òrks(s(q ïÕ(lö;û £ x l(tiõ#6tpnïq3ãU ô t ãµl(ã j_kl 5m x l q np Òñl m np Ð mvr rkl m Òdj.!mS6Üs Ð<ï òóksvj.l.tÒñÒrq$prm Ô 6tïàïqm3qpøÒñl m õ-qm Òñl m Õ.l*ðIk;Õ qSû klöïà!prqIôYÒñ6s.ÒÚj(mñk6o.ï q Ñ ãWq Ð q saÕ(q k6m ÒnÕ q Ònj6s(s q Ò Ð Õ q ÒnðIkl jl mñq ÒnÕ q ðIkl m 6s2p Ð k9k9k 7 pÖj.l.tÒ Ð. 6ks(Òl(s qSj_q s(Ò2q÷ qSj_kl mdðIq l;¥ô x l(t<ksMp&q÷ p2qW÷ k6o.ïtíq ÷ ÒdÕ qµmñq Òrprqm3Õ(6s(Òbïq o.l m q 6l x l -q Iòók;ððl j.6t9Ò Ðq sµq ÒñÒñ 6sMp|Õ q§Òñq§ðIks(ðIq s2prmñqm½q s2prmñqnÕ q l;ôSÕ(q§ãWq Òj m 6Òrq Òy× á k 6s(s q ÐJx l(t<jiqmÀÕ(6tpÖÕ(qøprq ãWj.ÒÖq s&prq ãWj.ÒbÒrks&ð6ïãWq Ð6Ò ð6ï ÿ,â|qm p kãCq ÷ $ÿ#j(m pñyt x l q$j_kl mbïqµp q ÷ ïºq÷ j ks q k k9k æÐ Ð ãWq Õ Ðyû m tÒrpñt6s ÐÒrjÚq ÷ ðt6ïàtÒrprqWÕ(lvÕ|q÷ o_k6í!í6q ç qp u ïtÔ tqq m k Ð2ÒrjÚq ÷ ðtà6ïtÒrprqbÕ ¼q èªéCê 2 ~ k;7 p|q sUj.ïàl(Ò ÐtïÒ ksMpÚqÕ l°z Ò l j(j_k6mñprqmïÔ tÒ tksUÕ q ãWq Ònj_kÒrprqmÀÒnj(m;q÷ õ q÷ m;q ÷ Ò k á qamñq ãWqm ðtqa6l(Ò Òñt u ïtÔ;tqm$â k Ð : tks q ï ¦k q p Ö9 ;ãWks(ÜÕ Ðqx l(tÚãaòóks2pWprkl rkl m Ò 6ððl q tïàït_Õ(6s(Ò ïq l(mno.l mñq 6lYj_kl mno. Ô !mÀÕ qmÖÕ qïà$j.ïl(tqbqpÓÕ(lYo_q 6laprq ãUj.Ò k |ïl(ÒdÒ2q÷ m tq l(Òñq ãWq sMp Ðw rq$mñq ãWqm ðtq$6l.ÒñÒñt+ãWq Ò3Õ(tm q ðIprq l m ÒdÕ q$p q Ñ Òr q Ð Ð õ-ks.Òrk þ qÉm mñq tmÀøqp 9 p q÷ j 6s q ÓoÚq ÷ Õ($j_kl m§prkl(Ònïq ÒnðIks.Òrq tïÒ|qp Ô;tÒÚj_qmñpñts q s2pñ Ò x2lyò tàïÒks2pnj.l ãWqÕ ks.s qm k á q3pñtq s.ÒøWÑ mñq ãWqm ðtqm 6l(ÒñÒñtyðIq l;ôa Ô6q ð x2l.+t Iò 6tyjl*ðIkïàï!o_k6mñqmç× þ mñk;Õ q 9 6s(Õ.s q Ò Ð 6ÒñÒñtï Ð ïqIô 6s(Õ mñkJÔ ÐÖtð!m Õ kûÚk6mñm q z ÿ x l(t½ãaò Yo_q 6l(ðIkl j 6tÕ§qe÷ ïk6m Ò3Õ(l Õ§q÷ o.l p3Õ q$ãU*p q Ñ Òrq æÐçqpâÚï6tàÒrqWû 6ãU!mñqp ÐyÒrjÚq ÷ ðt6ïàtÒrprqWÕ( l ëEì5ìLx2l.t's qWÒòóq ÒñCp ñ ãU6tÒÓtãWj.!pñtq s2p2lq ÷ x l(6s( Õ rqøsyò»q÷ pñ6tÒÖj.6Ònq s q÷ pñ!pdÕ qøã°!m ð q k á qmñq ãUqm ðtqø6l(Ò Òñtyïq Ò ãWq ãSo(mñq Ò|Õ((l ñl
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(31) x2lçò l(s qYts(Òrpñ6s(ðIqaÕ(l j.mñk6o.ï q Ñ ãWq q Òrpbmñqj(m;q ÷ Òrq s2p2q÷ qWÒrkl(ÒÖõ-k6m ãUqSÕyò l(söí6m !j q k_: qµs kãøo.mñqøÕyòók6jÚq÷ m !pñtks(Òöq ÷ ïºq ÷ ãUq sMpñ6tm q Ò q|_q ðIpñl|q÷ q Òj.!mdl(s&6ïí6k6m tp ãUqSq ÒrpdÕ ks(ðµl(s qµõ#ks(ðIpñtkN s x2l(tÕ§q÷ j_q s(Õ&Õ q ´Ð_ïepñ6tïïq Õ q Ò Õ(ks(s|q÷ q Ò k ûÚqprprqÓõ#ks(ðIpñtksUÒò !j.jiq ïàïqnï x %+)# ° - J k Ð tàs(Òñãt Ð6ï3Òrkã°ãWqaq ÷ ïºq ÷ ãWq s2p u. G. JAH H I-JK;IFG EñGºH H GIErO OKJMLøDEONQP/RFG/S T°GºH LUH NºDi-K I:T*I-HIO6-K IVN!J W5NXTPFI-JiO6YK NKI#Er[ GZ. y. O W NKTÖ{D R5G LXI,K;FG z LUH J;JvOKR}|~N6E I,K~T°G GIHºK RGø{J NXTPErG L H NÀDµFG E³O6-K IVN!J H U /FG R /FG T°GIJ.KX O I-EñGºDH EJ.G Wº/ G RJIWFI| G L EFG WEJ;K[G Z .
(32) [E& ÆDÓa E¨Ô[C. uu. G G ÖD !EIKG/T°GIJ.K O H1;TÖDiKYNK-I-EJ(GULMG ROW5NKTÖD{RG LMI#K U FG GIHºK FG -K J(KL I;EFG Z /JAR"R. W NKT AN. j.!m q ÷ ïÀq ÷ ãWq sMpaÕ qvÕ q l;ô ã°!prm tðIq ÒYð!mñm;q÷ q Òÿ#ks Õ(tm 3x2l(q&ïq l(m°pñ6tïïqwq Òrpz& q|iq ðIpñl(qdÕ(qÖï òók6m Õ(mñqÖÕ qU k6jÚq÷ m !pñtks(Ò§qp§ÒñµðIkãWj.ïqIô;tp qb÷ q ÒrpÚÕ ks(ðbÕ qÖï òók6mÀÕ mñqÖÕ(q U k û§qj_q s(Õ(6s2p Ð tïnsyòóq ÒñpUj.6ÒUs§q ÷ ðIq ÒñÒ 6tmñqÕ(qwðIkãWj(prqm* Ô6q ðj(m q ÷ ðtÒñtks ðIq&s kãSo(mñq Õyòók6jÚq÷ m !pñtks.Ò k 7 s°q |_qp Ð(ðIªq x2l(tis kl(Ò§ts2p2q÷ mñq ÒñÒrq3Õ(6s(Ò§ðIqprprqãWk;Õ|q ÷ ïtÒñ!pñtksÜÐ2ð!òóq ÒrpøµÑ ï õ-ktàÒbÕ(qWjikl(Ô6ktm3ðIkãWj.!mñqmïYÔ;tprq ÒñÒñq$Õ(q$Õ(q l;ô&6ïí6k6mÀtp ãWq Ò36ts.Òñt x2l qWÕ q$j(m;q ÷ Õ.tmñq ïqaðIkãWj_k6mñprq ãWq s2peÕ qöïò 6ïí6k6m tp ãUqYÒ l mUÕ q ÒUts.Òrpñ6s(ðIq ÒWÕ qapñ6tïàïqaÕ(t |Óq÷ m q sMprq k û§q ï syòóq Òrp|j.6Òj_qmñpñtàs q sMp|Õ qÓÔ6kl(ïktm|ðIkãWj!mñqm§Õ(q l;ôU6ïí6k6m tp ãUq Ò $qp nÕ qbðIkãWj.ïqIô tp2q ÷ j(mñk;ð q|ðIkãUãWq Ð j!m<qIô;q ãWj.ïq Ð n 'UX p ' 6 qp m 'UX n ' r! k6: q|ïtq sq sMprmñq§ïq s kãSo(mñqÚÕyòók6j§q÷ m !pñtks(Ò q |iq ðIpñl§q÷ q Ò|qp½ïqÚprq ãWj.Ò½Õ qnð6ïðl(ï;syòóq Òñpj6Ò½6ÒñÒrq ²nj(m;q ÷ ðtÒ½Õ.6s(Ò ðIqÖð6Ò k î ò 6l prmñqbj.!mñp ÐMtï(q Òrpj.!m õ-ktÒ|Õ(t âeðtàïqnÕ qÓðIkãWj(prqmÚ Ô6q ðbj(m;q ÷ ðtàÒñtks°ïqÓs kãSo(mñq Õyòók6jÚq÷ m !pñtks.Ò Ð|s k6pñ6ã°ãWq sMpYïk6m <Ò x2l qðIq ïl(t ðt Õ§q÷ j_q s(Õ Õ qïò ts(Òrpñ6s(ðIqÕ(l5j(m k6o.ï,q Ñ ãWq ÿ#mñq ð qm ð q Õçò l(s q ÷ ïÀq ÷ ãWq sMp|Õ(6s(Ò½l(s qÚïtÒñprq§k6mÀÕ ks(s§q÷ qnj.!m+qIô;q ãWj.ïq k î 6s(Ò½ðIq Õ qmÀs(tqm ð6Ò Ðyksvj.!m ïqm YÕ qWðIkãWj.ïqIô tp2qW÷ q s ãWk 6q s(s qWj.!m3k6j(j_kÒñtpñtks5*Ñ ïà*ðIkãUj.ïqIô tp2q°÷ 6l j.tmñq ð6Ò ku sµð qm ð qÚÕ ks(ð|Òrq l(ïq ãUq sMpn Ñ q ÒrpñtãUqmïq§ðIkãWj_k6mñprq ãWq s2pÕ(q|ï ò 6ïí6k6mÀtp ãWq Òñl m*Õ q Òetàs(Òrpñ6s(ðIq Ò*Õ q&í6m 6s(Õ q Òepñ6tïïq Ò k kl mYðIq ï Ð|ks]q÷ pñl(Õ(tqïqvðIkãWj_k6mñprq ãWq s2p {< %< ( #1 Õ qïWðIkãUj.ïqIô tp2q ÷ k 9 ktq s2Dp q3p Õ q l;ô õ#ks(ðIpñtks(ÒµÕ|q ÷ s(tq ÒSÕ q ÒSq sMpñtqmÀÒøs(!pñl m q ïÒÔ6qm Òµïq ÒSq sMpñtqm Ò s(!pñl mñq ïàÒ k&u s j_kÒrq x l q p &Ò t½qpSÒrq l.ïq ãWq s2pøÒò tï+qIô tÒrprq°l.s q sMpñtq¡m U¢µprq qï x l q Ð £
(33) ¤¥U¢'¦5½ÿ &§iÿ & ¨ u sUÕ(tmÀ5 x2l(qÓï3õ#ks(ðIpñtk9s Yq Òrp ?u7',50ø Ó!ª~ © ê ½h 7 - > 8 ê 1 0i k j.!m « :ÿ _ÿ &ɬ¯®'½ÿ &°M±B²+¦U³´¶µ¸·b~ × ½ÿ &p²+¨ _ÿ &j_kl mnprkl p ¸¤¹U³[º Ð ts(ÒñtÚÕ§q ÷ s(t Ð+ïòóq s(Òrq ãSo.ïq « :ÿ iÿ &ÉWq ÒrpUï òóq s(Òrq ãSo.ïqaÕ q Ò$õ#ks(ðIpñtks.eÒ x2l(tn6Õ.ãWqÈp prq sMpaðIkãUãUq&o_k6m s(q6ÉÒ ;ãWj(prk6pñyt x l ¶q iÿ & kn: ðIkãWj.ïqIô;tp q ÷ Õyò l(s 6ïí6k6m tp ãWqÒñqm Õ k6m;q ÷ s( Ô 6s2pømñqj.m q ÷ Òrq sMp q÷ q*j.!ml(s qWo_k6m s(q$6
(34) Ò ãWj.prk6pñyt x2l(qUÕ qUÒrks s kãSo(mñqUÕyòók6jÚq÷ mÀ pñtks(ÒYq ÷ ïºq ÷ ãUq s pñ6tmñq Ò k +!mÖqIô;q ãWj.ïq Ð.kswÕ(tmÀe x2l qµïq Ò Õ q l ôa6ïí6k6m tp ãWq Ò Yq$p dÒrks2p Õ qøðIkãWjïqIô;tp2q ÷ ä « ÿ U9 k !mdÒrkl(ðt'Õ qøðï!m p2q ÷ ÐyÕ(tmñ5q x2lçò l(sw6ïí6k6mÀtp ãWqq ÒñpÖÕ qµðIkíã j.ïqIô tp2q ÷ « ÿ "»ntàãWj.ïyt x l ªq x2lçò tïçsyòóq ÒrpÖj.6ÒÓÕ(qøðIkãWj.ïqIô tp q ÷ « ÿ ½¼ æÐ{¾r¿ÁÀ k_7 swq |iqp ÐiÒñt l(s qdõ#ks(ðIpñtkÂs &Ô q÷ m t .¡q ¸ « ÿ » æÐ6ïk6m Ò ¶ « ÿ ¼ |j_kl mnprkl p À¤¥¾ k : ðIkãWj.ïqIô tp2q÷ j_qm ãUqp°Õ ks(ðöÕçòóq ÒrpñtãWqm*ïqwðIkãWj_k6mñprq ãWq s2peÕçò l(s56ïí6k6m tp ãWq õ#6ðIqS6l;ôYtàs(Òrpñ6s(ðIq Ò Õ(q3í6m 6s(Õ q Ònpñ6tàïïq ¡Ò \ ` tï 6'4 bk. G. f"ghf"gÃ. JvKL I-Hº-K I#QJ |MJ(¡G RGºH OKR}|~N6E I,K~T°GºHµL2G W NKTÖ{ D R G LXI,K FG DANKR!{J NKT*I,XO RGeLMG WÀ/ G JMLYLMG W NKTÖ{ D R G LXI,K FG G LIAD N!JiGJ.-K I/G RR[G Z . å. i s½ÄÂkuqhjÅÄKÄ;s½Ä¶ÆasÇoÈMmUÉrq s½ Ê nls½Äg. f ~ ˽}à - i} i½ÌãiBÌãi Í 51 7 ê y-54 (Î 2Ï 8 0C",17A?6F Ð ê &º~ µà 17 ê y-54
(35) 2;ö~ 7;0 ê º# 8 ,e!Ñ7', eê 7;0B0 8 C 1 u s$j_q l p½6ts(Ò t ðïà6ÒñÒrqmïq Ò j(mñk6o.ï q Ñ ãWq Ò½Ò l(tÔ!6sMp½ïq l m ðIkãUj.ïqIô tp2q ÷ k û§qj_q s(Õ(6s2pÐ6ks Õ(tÒrpñtàs íl qøÕ q l ôwõ#6ã°tïïq ÒbÕ qµj(mñk6o.ï q Ñ ãWq Òç×Cïq Òbj(mñk6oï,q Ñ ãWq Òªx2l(tks2p3l(s q$ðIkãWj.ïqIô tp2q ÷ j_kÂï s(kãUt6ïq Ð qpbïq ÒÓ6l prm q Ò ÐiðIq l ôwÕ ksMpbïUðIkãWjïqIô;tp2qµ÷ q ÒrpÖqIô j_ks q s2pñtq ïïq9\ t á {!4;bk : q Ò½6ïí6k6mÀtp ãWq Òj_kÂï ;s kãUt6l;ôøÒñksMp½ðIks(ÒñtàÕ|q÷ m q ÷ Ò ðIkãUãWq Ò³q âeð6ðIq 5Ò Óq s$ðIq Òrq s(´Ò x l q ïq l m½ðIk l z p Õ qnð6ïðl.ï 6l íãWq s2prq Õ qnãU6s(t qÑ mñqnm 6tàÒrks(s(!o.ïq§ Ô6q ð ïbpñ6tïïqÚÕ(l$j(m k6o.ï,q Ñ ãWq 4 {'bk +!m½ðIksMprmñq Ðïq Ò'6ïí6k6mÀtp ãWq Ò+s ksSj_kÂï s(kãUt6l;ôÒrqmñks2p+ðIks(ÒñtÕ§q÷ m;q ÷ Ò ðIkã°ãWq \ û§k6m 1 Òrts q âeð6ðIq 5Ò ÓWð!m ïq l m§prq ãWj.ÒnÕyòóqIôq ÷ ðl pñtksa6l íãWq s2prqÕ qdõ, ðIî ksaÒrj_q ðIpñ6ðl(ï6tmñqd Ô6q ð ï*pñ6tïïqWÕ qUïò ts(Òrpñ6s(ðIq$prm 6tp2q÷ q k +!mqIô q ãUj.ïq ÐçÒñt+j_kl ml(svj.mñk6o.ï q Ñ ãWqUÕ q$pñ6tïàïq Ð ïh& Ô ô öòãô[Õ{ñAÖ ÿAøôsóæ × üö ÷5Ø_å Ù õæøôsóYÚ'E Û ñ" Õ ñÿAõ1E Û û;Ø ñAþ ôsó[ñÅ Ö Ü]ÝÞMÝ=ßQàVw à ûñÈü ó ñª1 á ñÈÿ/óüñAøû'ØoüòuÕñ{ÞMÝ=ßà>õåû+ñ/Ö ø÷<óô õåöòO× Û¼÷<ôoòÜô_Ø+ñªá1ñÈÿAóüñAø÷;÷æüÕû;Ø üòãâaä½ÞMÝ=ßQàõæûÅñAÖ ø÷
(36) óôoõæöòO×MâñAÖ ó÷<ö9ó-üöñÿÈõæöòó÷<ö9óñ .
(37) Ó]æ[[o[. u. yÔ eÃEÓ*eÔ. mñqj(m;q ÷ Òñq sMprq ¦ 66 Òrq ðIks(Õ qqp°j_kl m n;ç ¦ 6 Òñq ðIks(Õ qÐ|ðIq Òeprq ãWj.Ò°j.6ÒñÒrq s2p mñq Òrj_q ðIpñtÔ6q ãUq sMpC Ñ ¦ 61nr Òrq ðIks(Õ q qp mv 6s(ÒYj_kl möl(s j(mñk6o.ï q Ñ ãUq Õ qvpñ6tïïq r! 4 bk û§q ðtqIô j.ïàtyx2l(qSï*j.!mñpñtpñtksÕ(q ÒÖj.mñk6o.ï q Ñ ãWq Òbq s Õ q l;ôq s(Òrq ãSo.ïq Ò_× ðIq l;ô Ñ \ t á {!; ðIkãWj.ïqIô;tp q÷ j_kÂï ;s kãUtà6ïqÖqpÖðIq l;ôCUÑ ðIkãWj.ïqIô tp q÷ qIô;j_ks q sMpñtq ïïq k . f"ghfUg:è. i j¹wMézsBx mUÈ~vhsÆasqhj¹êìëí/kAmãnlorqAsux wMîÆs. *s SqIô j.ïàtyx2l§qÖ÷ j(m;q ÷ ð.q ÷ Õ q ãUãWq s2p¼x l q ïïqYq÷ pñ6tpnïµðIkãWj.ïqIô;tp qd÷ Õyò l(se6ïí6k6m tp ãUqÓqp ks öj_kÒ2q ÷ x l q°ïàwðIkãWj.ïqIô;tp q*÷ Õyò l(s j.mñk6o.ï q Ñ ãWq q÷ pñ6tpµïðIkãWj.ïqIô tp qY÷ Õ q°Òrks ãWq tï ïq l m 6ïí6k6m tp ãUq x i}'} k Ð ts(Ò tÕ|q÷ s(tãÐ Õ(tmñqqx lyò l(søj(mñk6o.ï q Ñ ãUq| prq ïàïq|ðIkãWjïqIô;tp2qÚ÷ s q j(mñkl(Ô6qÓj.6 Ò x2lçò tï(syòóqIô tÒrprqÖj.6ÒÕyò 6ïí6k6m tp ãWqbÕ qÖðIkãUj.ïqIô tp2qÖ÷ ts õ q÷ m tq l m qÓãU6tÒ|Òrq l(ïq ãWq s2qp x2l(qÚÒ t ðIq ïàl(t;qIô;tàÒrprq Ð6tï;syò dj.6Òøq÷ p2qÖ÷ Õ§q ÷ ðIkl Ô6qmñp k+£ ï qIô tÒrprq s kãSo(mñqnÕ qÚj(m k6o.ï,q Ñ ãWq Ò j_kl m|ïq
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