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Modèle d'exécutif distribué temps réel pour SynDEx

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(1)Modèle d’exécutif distribué temps réel pour SynDEx Thierry Grandpierre, Christophe Lavarenne, Yves Sorel. To cite this version: Thierry Grandpierre, Christophe Lavarenne, Yves Sorel. Modèle d’exécutif distribué temps réel pour SynDEx. [Rapport de recherche] RR-3476, INRIA. 1998. �inria-00073213�. HAL Id: inria-00073213 https://hal.inria.fr/inria-00073213 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Mod`ele d’ex´ecutif distribu´e temps r´eel pour SynDEx Thierry Grandpierre, Christophe Lavarenne, Yves Sorel. N ˚ 3476 Aoˆut 1998 ` THEME 4. ISSN 0249-6399. apport de recherche.

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Ž5¨ ‡ ©~ZxofebgCmah€gihr`pk5m s `bqrh { `bŸ‚cY   Y\k5ofhj`pZ0`bqfY6  Y¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‰ Ž5¨ ‡ƒ¨lŽ z g { gCele Y6  el`bqjgChr`pk5m0¨’¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‰ Ž5¨ ‡ƒ¨ L ¯\o‚hr`bZH`bq€gihr`pk5m ¨’¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‰ Ž5¨ ‡ƒ¨ ‡ Mž`pmf`bZ0`pq€gihj`lkam s Yte  YwyY8  v cfhj`µ´¥¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨  Ž5¨ ‡ƒ¨ [ œ W kC`ly s Y’ebgx“ { gCmPcfebg { `lhfY   ¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨  Ž5¨ ‡ƒ¨ K œ g { g5vwhfY   { `pq€gihj`lkamˆY h o { Y   s `pv hr`pk5m s YtoƒY { ´Ëk { Zxg5m‚vwY8q¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨  Ž5¨ ‡ƒ¨ Š N¥Y6  mY   { gChr`pk5m s  Y y|Y6  v c‚hr`l´¶q ¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŽPO Ž5¨ [ ^PuPmƒv W‚{ kamf`bqjgChr`pk5m s gCm‚qnepY6q g { v W `phrY8vwh€c { Y8q s `pqjh { `bŸ‚cY6  Y6q¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŽPO Ž5¨ [>¨lŽ ^PuPmƒv W‚{ kamf`bqjgChr`pk5m¹v Y6mah { giep`bqfY6  Y"¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŽPO Ž5¨ [>¨ L ^PuPmƒv W‚{ kamf`bqjgChr`pk5m s `pqjh { `pŸƒc|Y   Yˆ¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŽCŽ Ž5¨ [>¨ ‡ ^PuPmƒv W‚{ kamf`bqjgChr`pk5m¹o>k5c { o‚g { hjgC“CY s Y6q q‚Y   ¢ c‚Y6m‚v Y6c { q s  `bm‚qjh { c‚vwhj`lkam‚q¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŽCŽ Q º – • ½ RT» A» À T» S$I – H•-– U«˜ fP½ I » G À SE» +I˽ R ™– ¿ RVI˽ –a¿ ½ ˜ X D[ – W ZY s s X { W L‚¨lF Ž Mžk Y epY  gCel“5k `lh Z0Y ¨’¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ Ž [ L‚¨lŽ5¨lŽ Mžk s Y X epY \ƒkCh s Ytv k5mah { kC epY’Y ]h \ƒkCh s Y s k5m‚mY   Y8q$¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ Ž [ L‚¨lŽ5¨ L z{ `bqjY\Y8m#vwk5ZxofhjY s c³hrY6Zxo‚q6£‚®|Y   { `l¸>v gChr`pk5m‚q6£Pqr`bZdcfebgihj`lkam‚q$¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ Ž [ L‚¨ L^Mžk s Y X epY s  g { v W `phrY8vwh€c { Y ¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŽK L‚¨ L‚¨lŽ Mžk s Y X epYtZdcfephr`bvwkaZ0o>k5q€gCmah ¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŽK L‚¨ L‚¨ L œ g { g5vwhfY   { `pq€gihj`lkam s  g { v W `phrY6v hjc { Y¥¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ Ž6Š L‚¨ _ ‡ Mžk s Y X epY s  `bZxofepg5mahjgihj`lkam ¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ Ž6Š L‚¨ ‡ƒ¨lŽ ¬\`bqrh { `bŸ‚cfhj`lkamY6h k { s k5mƒm‚gCm‚v Y6Z0Y6mah ¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ Ž6Š L‚¨ ‡ƒ¨ L œ kamah { gi`bm5hjY6qnY6hkaofhr`bZ0`pq€gihj`lkam ¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŽL‰ L‚¨ [ `¡Y6c { `bqrhj` ¢ cfY s  g s Y   ¢ c‚gihj`lkam ¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŽL‰ L‚¨ [>¨lŽ z{ `bm‚v `po>Y6q ¨’¨t¨’¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŽL‰ L‚¨ [>¨ L z{ Y   ®Ps `pqj`pk5m s Y†v k5Zxs o>k { hrY6Z0Y8m5hnhjY6Zxo‚q { Y   Y6eˆ¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ Ž6 L‚¨ K N¥Y6  mY   { gChr`pk5m  Y y|Y6  v c‚hr`l´¶q `pqjh { `bŸ‚cY8  q|hjY6Zxo‚q { Y6  Y e#¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ Ž6 L‚¨ Š ² kC“5`pv `lY6e^PuPm‚¬¡­§y ¨’¨t¨’¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ Ž6 [ º¼» ba–PÀ¶– bc e– d –P• ¿C˜ P½ If Q$g ‡ƒ¨lŽ ©~mah { k s c‚v hr`pk5m¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hLiO ‡ƒ¨ L ^Ph { c‚vwh€c { Y s c#ZxgCv { kfv k s Y\`bmahrY { ZY   s `pgC` { Y ¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hLfŽ ‡ƒ¨ ‡ ^Ph { c‚vwh€c { Y s c#ZxgCv { kfv k s Y’o>k5c { v W g ¢ cfYto { kfvwY6q€qjY6c { ¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨th ¨ LjL ‡ƒ¨ [ œ W g { “CY6Z0Y8m5hng { Ÿ>k { Y6q€vwY6mah s Y6q o { k5“ { gCZxZ0Y6q‘¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hLjL ‡ƒ¨ K ‹elepkfv gChr`pk5m³Z Y6  Z0kC` { Y0¨t¨’¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨th ¨ Li‡ ‡ƒ¨ Š ^§Y   ¢ cfY8m‚vwY8q s Y†v giebv c‚e«Y h s Y†v k5ZxZdc‚m‚`pv6gihr`pk5mƒq-¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hLi‡ ‡ƒ¨ ‰ ©~ZxofebgCmah€gihr`pk5m s Y8q s Y6  o>Y6m s gCm‚v Y6q s Y s k5m‚mY   Y6q ¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨th ¨ Li‡ ‡ƒ¨ ‰f¨lŽ œ kaZxZdc‚mf`bv gChr`pk5mY hqjufm‚v W‚{ k5mf`bqjgChr`pk5mo‚g { ZY   s `pg  ‹#M ¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hL<[ ‡ƒ¨ ‰f¨ L œ kaZxZdc‚mf`bv gChr`pk5mY hqjufm‚v W‚{ k5mf`bqjgChr`pk5mo‚g { ZY   s `pgˆ^P#‹ M ¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨th ¨ LjK. . klknmpo#qsr tsu.  . .   .

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(16)  H('  H. .  –P• ¿ I ¿ f½ I¶» G ˜ G » ˜ S¡– • G – • +I U«˜T– bc –ed –P• ¿C˜ ½PIf  G d  Q [>¨lŽ ©~mah { k s c‚v hr`pk5m³gCc³ZxgCv { ki¤ªo { kfvwY6q€qjY6c { Z0[H¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hL5‰ [>¨ L †Y X “5elY8q s Y’m‚k5ZxZxgi“CY s Y8q ZxgCv { k5q ¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hLi [>¨ ‡ ^Ph { c‚vwh€c { Y s cH}~Y8c s Y†Z0g5v { k5q ¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hLi [>¨ [ MNgCv { k5q s Ytv W g { “5Y6Z0Y6mahng { Ÿƒk { Y8qjv Y6mah s Y6qo { k5“ { gCZxZ0Y6q¡¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hLi [>¨ K^MNgCv { k5q s Y’“5Y6qjhr`pk5m s YtepgxZY8  ZHk5` { Y s Y s k5mƒm|Y   Y8qn¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hLi [>¨ K‚¨lŽ ‹elepkfv gChr`pk5m#Z Y6  Z0kC` { Y ¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡jO [>¨ K‚¨ L  Y6mfkaZ0ZxgC“CYtZ Y6  Z0kC` { Y ¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡jO [>¨ K‚¨ ‡ ©~m‚`lhj`pgCel`bqjgChr`pk5m#Z Y6  Z0k5` { Y¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡‚Ž [>¨ K‚¨ [ œ kaof`pY†Z Y6  Z0kC` { Y ¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡C‡ [>¨ K‚¨ K >Y6m«Y  h { Y6qn“5el`bq€qjg5m5hjY6q ¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡C‡ [>¨ _ Š MNgCv { k5q s Ytv6giebv cfeY6h s  Y6mah { Y   Y ¤Bqjk { hr`pY ¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡i[ [>¨ Šƒ¨lŽ MNgCv { ki¤Bk5oY   { gihj`lkam‚q s Ytv6giebv cfe ¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡i[ [>¨ Šƒ¨ L MNgCv { ki¤Bk5oY   { gihj`lkam‚q s  Y6mah { Y6  Yw¤ªqrk { hj`lYŒ¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡CŠ [>¨ ‰ MNgCv { k5q s Ytv k5mah { kC epYtvwk5m s `lhj`lkam‚mfY6e«Y h `phfY   { gChr`l´N¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡a‰ [>¨ _  MNgCv { k5q s Y’ebgCm‚v Y6Z0Y6mah Y6h s Ytqrufm‚v W‚{ k5m‚`pq€gihj`lkam ¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡C [>¨ ƒ¨lŽ MNgCv { k5q s YtebgCmƒvwY6Z0Y8m5h s Y6q qfY   ¢ cfY8m‚vwY8q s Y’v k5ZxZdcƒmf`pv6gihj`lkam ¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡C [>¨ ƒ¨ L MNgCv { k5q s Y†qjufm‚v W‚{ k5mf`bq€gihr`pk5m¹`pmahjY { ¤BqfY   ¢ cfY8m‚vwY8q0¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ‡C [>¨ ƒ¨ ‡ z{ Y6  vRY   s Y8m‚vwY8q|v k5ZxZdc‚m‚`pv6gihr`pk5m !#"%$%&(' )3¤ªv gCepv6cf*e !*+-,/.0' )³¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ [ O [>¨ ƒ¨ [ z{ Y6  vRY   s Y8m‚vwY8q|v6giebv cf*e !#"%$%&/1 )B¤Bv k5ZxZdc‚m‚`pv6gihr`pk5m !*+-,/.21 )³¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ [ƒŽ [>¨ ƒ¨ K z{ Y6  vRY   s Y8m‚vwY8q|v k5ZxZdc‚m‚`pv6gihr`pk5m !#"%$%&1 )3¤ªvwkaZxZdc‚mf`bv gChr`pk53m !4+-,.51 ) ¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ e[ L [>¨ ƒ¨ Š z{ Y6  vRY   s Y8m‚vwY8q|v6giebv cf*e !#"%$%&6' )B¤Bv6giebv cf*e !*+-,/.-' ) ¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ e[ L [>¨ _  MNgCv { k5q s Y’h { g5m‚q~´ËY { hn`bmahrY { ¤ªZ Y   s `bg¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ e[ L [>¨lŽ O MNgCv { k5q s Ytv W‚{ k5m‚k5Z Y   h { gC“CY,¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ [C[ [>¨lŽ O‚¨pŽÁ©~m‚`lhj`pgCel`bqjgChr`pk5m ¨’¨t¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ [C[ [>¨lŽ O‚¨ L MžY6q€c { Y s Y8q s gChrY6q¨t¨’¨t¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ e[ K [>¨lŽ O‚¨ ‡ MžY6q€c { Y s Y8q s Y8  v gCepgC“CY6q|Y6mah { Y W k { epkC“5Y6q ¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ e[ K [>¨lŽ O‚¨ [ œ k5elepY6v hrY s Y8q v W‚{ k5mfkaZ Y   h { gi“5Y6qn¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ [5Š J7 ˜ I¶½ – – ½ –P— ½ —  » ˜ ™ I —8– ˜  $» I G ½ bc ˜ G G » ˜ S\– • G – • +I U«˜A– bc e– d –P• ¿C˜ P½ If 3 K‚¨lŽ V Y6qjh ss Y6qZ0g5v { k5q ss Y s Y6  Zxg {€{ gC“CYH¨\¨t¨’¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ [5 K‚¨ L V Y6qjh Y6qZ0g5v { k5q  giepelkfv6gihr`pk5m³Z Y6  Z0k5` { Y ¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ [5 K‚¨ ‡ V Y6qjh s Y6qZ0g5v { k5q s YtebgCm‚v Y6Z0Y6mah s Y8q qfY   ¢ cfY6m‚v Y6q s Y†v k5ZxZdc‚m‚`pv6gihr`pk5m ¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨th ¨ KiO K‚¨ [ V Y6qjh s Y6qZ0g5v { k5q s Y†qjufm‚v W‚{ k5mf`bqjgChr`pk5m ¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hKfŽ K‚¨ K V Y6qjh Z0k5mfkao { kfv Y6q€qrY8c { s Y6q ZxgCv { kaq s Yth { gCm‚qr´ËY { hn`pmahjY { Z Y   s `bg ¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨th ¨ KjL K‚¨ Š V Y6qjh Zdcfephr`bo { kfvwY6q€qjY6c { s Y8q ZxgCv { k5q s Yth { g5m‚qr´ËY { h`bmahrY { ZY   s `pg ¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨hKi‡ K‚¨ ‰ V Y6qjhjq s Y6qZxgCv { kaq s Ytv W‚{ kamfk5ZY6  h { gi“5Y¨t¨t¨’¨t¨’¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨th ¨ KjK K‚¨  V Y6qjh oƒkac { e3 g5o‚ofep`pv6gihj`lkam¹­ N\‹ Z0kamfk5o { kfvwY8qjqjY6c { ¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŠjO K‚¨  V Y6qjh oƒkac { e3 g5o‚ofep`pv6gihj`lkam¹­ N\/‹ œL œ Ÿf`bo { kfv Y6q€qrY8c { ¨t¨’¨t¨t¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ Ši[ K‚¨lŽO V Y6qjh oƒkac { g5o‚ofep`pv6gihr`pk5m­ N\‹L gL®CY6v\v W‚{ k5mfkaZ Y   h { gC“CY,¨\¨t¨’¨t¨’¨t¨t¨’¨t¨’¨t¨\¨t¨t¨’¨t¨’¨t¨’¨t¨t¨’¨t¨\¨t¨ ŠCŠ. . lk. 89 :8<;.

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