!!" &'( )*+, ./ ,0012,3451 6789+ 6:; #$% < #= >? %# ?@ # A B@> % C?&D E&F # >G& H>'@G AAA # I >& JKLMMN O #P #CGN QG = R STU! VWXY Z[Z\] Z]\Y\^_Y [^ []`WX_\`_a]\ bc] _W\ `c^d _]ce cb YXfae[_\g ]chc_Y bc] _W\ ichcjaZ _W[_ [eeckY \lZeX`X_ `ccZ\][_Xc^ [fc^m _W\fn VW\ Y_]a`_a]\ cb _W\ Ycb_k[]\ [m\^_Y `c^_]ceeX^m _W\ ]chc_Y XY h[Y\g c^ [ m\^\][e Za]ZcY\ fae_Xd [m\^_ []`WX_\`_a]\ h[Y\g c^ [ _kc e\o\e [Zd Z]c[`Wn p^\ e\o\e XY `cfZcY\g cb ]\[`_Xo\ YqXeeY `[Z[he\ cb [`WX\oX^m YXfZe\ [`_Xc^Y hr _W\X] ck^n VW\ c_W\] XY h[Y\g c^ [^ [m\^g[ aY\g [Y [^ cZZc]_a^XY_X` Ze[^^X^m f\`W[^XYf _c `cfd Zca^gs [`_Xo[_\ [^g `cc]gX^[_\ _W\ h[YX` YqXeeYn VWXY [m\^g[ W[^ge\Y [`_Xc^Y hc_W b]cf _W\ X^d _\]^[e mc[eY cb _W\ ]chc_ c] b]cf c_W\] ]chc_Yn VWXY Z[Z\] g\Y`]Xh\Y _W\ kc]q [e]\[gr [``cfd ZeXYW\gs [Y k\ee [Y _W\ XYYa\Y []XYX^m b]cf _W\ XfZe\f\^_[_Xc^ cb _W\ []`WX_\`_a]\n t u! vw VW\ [Xf cb _WXY Z[Z\] XY _c Z]\Y\^_ _W\ fae_Xd[m\^_ []`WXd _\`_a]\ k\ []\ haXegX^m _c [__\^g _W\ ichcjaZ xyX_[^c s YXfae[_c] e\[ma\n VWXY []`WX_\`_a]\ XY h[Y\g c^z{ |}~Z]\dg\^\g }} _W[_ \[`W ]chc_ `cfZcY\Y X^ [^ cZd Zc]_a^XY_X` k[r _c [`WX\o\ [^ X^_\eeXm\^_ h\W[oXc]n VW\ k[r _W\Y\ h[YX` [`_Xc^Y `[^ h\ `cfhX^\g _c m\_ fc]\ YcZWXY_X`[_\g h\W[oXc]Y XY [eYc Z]\dg\^\gn VWXY f\[^Y _W[_ k\ []\ ^c_ aYX^m `e[YYX`[e Y\[]`Wdh[Y\g Ze[^^X^m _c `cfhX^\ _W\ [`_Xc^Yn \ aY\ X^Y_\[g [^ [m\^g[ _c q\\Z [ eXY_ cb Z\^gX^m [`_Xc^Ys kW\]\ \[`W [`_Xc^ `[^ ]\aX]\ c] ^c_ Z]\dg\^\g YXfZe\] [`_Xc^Yn `_Xc^Y `[^ h\ X^Y\]_\g X^_c _W\ [m\^g[ hr c_W\] [`d _Xc^Ys hr \o\^_Y b]cf _W\ \^oX]c^f\^_ c] hr ]\a\Y_Y ]\`\Xo\g b]cf c_W\] ]chc_Yn XfXe[]ers [`_Xc^Y `[^ h\ [`d `cfZeXYW\g [Y [ ]\Yae_ cb _W\ \l\`a_Xc^ cb c_W\] [`_Xc^Ys hr [^c_W\] ]chc_ [`_Xc^Y c] YXfZer hr `W[^m\Y X^ _W\ kc]egn \_ aY _WX^qs bc] X^Y_[^`\s X^ [^ [`_Xc^ eXq\ z{ VW\ ]chc_ `[^ m\_ _W\ h[ees \X_W\] hr X_Y ck^ {z|}}n fco\f\^_Ys [`_Xc^Y [YqX^m [^c_W\] ]chc_ _c Z[YY _W\ h[ees c] hr [^r c_W\] \o\^_ X^ _W\ kc]eg _W\ cZZc^\^_ [``Xg\^_[eer qX`q\g _W\ h[ee _ck[]gY _W\ ]chc_n c] _W\ g\^X_Xc^ cb _W\ YqXeeYs gX\]\^_ _rZ\Y cb `c^d _]cee\]Y `[^ h\ aY\gs Ya`W [Y bar `c^_]cee\]Ys f[_W\d f[_X`[e `[e`aeaYs c] e\[]^\g h\W[oXc]Yn c] X^Y_[^`\s k\ kXee aY\ ca] Z]\oXcaYer g\o\ecZ\g Ycb_k[]\ bc] haXegX^m bar h\W[oXc]Yn VW\ `ccZ\][_Xo\ Z[]_ cb _WXY []`WX_\`d _a]\ XY _W\c]\_X`[eer h[Y\g c^ _W\ Z\\`W `_Y _W\c]X\Y xjcW\^ [^g \]][ae_s n ^ _WXY []\[s ca] `c^_]Xha_Xc^ kXee h\ X^ _kc [YZ\`_Yn X]Y_s k\ kXee \l_\^g _W\Y\ Xg\[Y _c `cZ\ hc_W kX_W [ WXmWer gr^[fX` \^oX]c^f\^_ ]chc_X` Yc``\] [^g kX_W [ z|} } \^oX]c^f\^_ X^ _W\ Y\^Y\ cb [ Y\^Yc]Y [^g [`_a[_c]Y [ZZ]c[`Wn \`c^gs k\ kXee [ZZer bar ecmX` hc_W _c g\^\ h[YX` `c^_]cee\]Y [^g _c k]X_\ _W\ W\a]XYd _X`Y _W[_ kXee `c^_]ce _W\ ]chc_Yn \ []\ ^c_ kc]]X\gs hr ^cks [hca_ [^r qX^g cb e\[]^d X^ms ^\X_W\] k\ gc ^c_ _]r _c ma]\ ca_ kW[_ _W\ c_W\] _\[f XY _]rX^m _c gcs c] gcX^mn \ [eYc _WX^q _W[_ [^r qX^g cb Y\[]`Wdh[Y\g Ze[^^X^m XY a^aY\bae X^ Ya`W [ WXmWer gr^[fX` \^oX]c^f\^_n ^ _W\ ^\l_ Y\`_Xc^ _W\ []`WX_\`_a]\ XY Z]\Y\^_\g X^ fc]\ g\Z_Ws gXY`aYYX^m _W\ YqXeeY _W[_ kXee h\ aY\gn \`d _Xc^ g\Y`]Xh\Y _W\ \l\`a_Xc^ cb _W\ kWce\ YrY_\fs YZ\d `X[eer _W\ ]ce\ cb _W\ [m\^g[ X^ _W\ `c^_]ce cb _W\ ]chc_ [`_Xc^Yn VW\ e[Y_ Y\`_Xc^ g\Y`]Xh\Y _W\ `a]]\^_ Y_[_\ cb YrY_\f g\o\ecZf\^_s [^g ba_a]\ kc]qn U! ¡ !¡w! \ W[o\ ¢aY_ X^_]cga`\g _W\ mc[eY cb _W\ []`WX_\`_a]\£ [eeck \lZeX`X_ `ccZ\][_Xc^ [fc^m _W\ _\[f f[_\Ys aY\ cZZc]_a^XY_X` Ze[^^X^m _c `cfhX^\ ]chc_ [`_Xc^Ys [^g aY\ Z]\dg\^\g h[YX` ]\[`_Xo\ YqXeeYn VWXY Y\`_Xc^ Z]\Y\^_Y _W\ m\^\][e []`WX_\`_a]\ k\ []\ g\o\ecZX^ms kWX`W XY YWck^ X^ Xma]\ n VWXY []`WX_\`_a]\ XY f[g\ aZ cb gX\]\^_ Z[]_Y _W[_ kXee h\ \lZe[X^\g X^ _W\ bceeckX^m YahY\`_Xc^Yn ¤¥¦ §¨©ªª« VW\ hcl e[h\ee\g [Y ¬ }} ]\Z]\Y\^_Y [ Y\_ cb YXfZe\ [^g ]\[`_Xo\ `c^_]cee\]Yn VW\Y\ `c^_]cee\]Y XfZe\f\^_ Z]\d g\^\g h\W[oXc]Y _W[_ _W\ ]chc_ `[^ [``cfZeXYWn ^ Xmd a]\ Ycf\ cb _W\Y\ h\W[oXc]Y []\ YWck^n Information Info-1: <value> # " # + % % * Info-2: <value> " # * # $ > ? - @ / A B % & & ( ) Other Robots Actuators Agenda Sensors G Communications Act-1 Act-2 Control Process G Heuristics H Skills Yellow Pages LOOK FOR BALL Robot-1: Skill-1-1 Skill-1-2 Robot-2: Skill-2-1 X GO H a # + , - . / + 0 1 ! " " 2 3 $ $ % & ' ( ) 8 + # : # # # 4 5 : " + % # * + " # # % " 6 % & ' ) 7 8 " : : " + + # # # # # # # 9 # # + * D " 9 + ; # < # " " # # + + " " O + _ ` L a # " * V * % % # # # D " X # # # # 4 # - U " # W / X * [ D # F c + # V # " + # # # % # % * # # % V # ; * " " D # % + D # ; # % # L ^ ^ d [ ` e O _ ` L [ Q # # + " V * # W % g % # X " ; + # # * % : a # " $h % & & ) C % # * " + # " i % " # + = # % " + " % $> ? - @ / A B % & & C ) 5 " + + + # % " " # E # % # # # * # % # " $F * # : : 6 % + & & C % ) 9 # # # % W " # # # " X a i # " # + H j k l J m P J [ n O % o U - p q / # # " # * # " / r @ 4 # # 9 + + % * % s W ^ T * S " ] 2 # A # H b G A * L * \ % F 5 # R - [ " # Q * # * # J # " P * # O f " # # N G Z " M " " L K K KICK LOOK FOR GOAL J Y G # Fuzzy Rule 1 Fuzzy Rule 2 I t u # v w u x y u * z # g s _c [Yq [^c_W\] [m\^_ [ Z[]_X`ae[] [`_Xc^n s Z]\Y\^_X^m [ ZX\`\ cb X^bc]f[_Xc^ Y\^_ hr c_W\] ]chc_n s _c ZcX^_ ca_ _W[_ Ycf\ X^bc]f[_Xc^ W[Y _c h\ Y\^_ _c [^c_W\] ]chc_n s _W[_ ]\Z]\Y\^_ Zc_\^_X[e YqXeeY _W[_ _W\ ]chc_ `[^ Z\]bc]f hr X_Y\ebn ^ _W\ ^\l_ Y\`_Xc^s _W\ ba^g[d f\^_[eY cb _W\Y\ h\W[oXc]Y []\ Z]\Y\^_\gn ¤¥ ©« © « \a]XY_X`Y g\`Xg\ [_ [^r _Xf\ kW[_ [`_ _c Y\e\`_ b]cf _W\ [m\^g[n \ W[o\ aY\g bar ]ae\Y bc] _W\ `a]]\^_ XfZe\f\^_[_Xc^n VW\ X^Za_ o[]X[he\Y cb _W\Y\ ]ae\Y `[^ h\s bc] X^Y_[^`\£ VW\ Z]Xc]X_r cb _W\ YqXee [YYc`X[_\g _c [^ [`_n VW\ _Xf\ _W[_ [^ [`_ W[Y h\\^ X^ _W\ [m\^g[n afh\] cb [`_Y _W[_ ]\aX]\ [^ [`_ _c h\ \o[ea[_\gn ^bc]f[_Xc^ b]cf _W\ \^oX]c^f\^_n VW\ _rZ\ cb [m\^_ g\b\^g\]s bc]k[]gs \_`nn VW\ ca_Za_ kXee h\ _W\ k\XmW_ cb \[`W [`_ X^ _W\ [m\^g[n p^`\ _W\ [`_Y W[o\ h\\^ k\XmW_\gs _W\ \eXmXd he\ [`_ _c h\ \l\`a_\g kXee h\ _W\ c^\ kX_W _W\ WXmW\Y_ k\XmW_n ¤¥ ª ^ Yaff[]rs b]cf _W\ ZcX^_ cb oX\k cb ca] fcg\es _W\ ]chc_ `[^ h\ `c^YXg\]\g [Y [ q^cke\gm\ Y_]a`_a]\ g\^\g [Y [ Y\_ cb Y_[_X`[e [^g gr^[fX`[e [__]Xha_\Yn fc^m _W\ Y_[_X` c^\Y k\ `[^ ac_\ _W\ ^[f\ cb _W\ ]chc_ ! s _W\ eXY_ cb X_Y YqXeeY " s _W\ q^cke\gm\ [hca_ X_Y _\[fd f[_\Y ^[f\Y [^g YqXeeYs # s _W\ e[^ma[m\ _c ]\Z]\Y\^_ _W\ X^bc]f[_Xc^ [hca_ _W\ `a]]\^_ Y_[_\ cb _W\ kc]eg $ s [^g _W\ Y\_ cb W\a]XY_X` ]ae\Y _W[_ mco\]^Y _W\ h\W[oXc] cb _W\ [m\^_ % n cs [^ [m\^_ & `[^ h\ ]\Z]\Y\^_\g [Y _W\ _aZe\£ & ' ( ! ) " ) # ) $ ) % * n ^ _W\ Y[f\ k[rs _W\ _\[f cb [m\^_Y `[^ h\ ]\Z]\Y\^_\g [Y ( ! ) " ) # ) $ ) % *+ s mXo\^ _W[_ [ _\[f XY f[g\ aZ cb [_ e\[Y_ c^\ [m\^_n fc^m _W\ gr^[fX` X^bc]f[_Xc^ _W[_ g\^\Y _W\ `a]d ]\^_ YX_a[_Xc^ cb [^ [m\^_s k\ `[^ `X_\ _W\ [m\^g[ & , _W[_ `c^_[X^Y _W\ [`_Y `a]]\^_er a^g\] `c^YXg\][_Xc^s _W\ a\a\Y cb f\YY[m\Y - ]\`\Xo\g c] Z\^gX^m _c h\ Y\^_ [^g _W\ X^bc]f[_Xc^ . [hca_ _W\ `a]]\^_ Y_[_\ cb _W\ kc]egs g\^\g aYX^m _W\ e[^ma[m\ $ n cs [^ [m\^_ X^ [ mXo\^ fcf\^_ XY g\^\g hr ( & ) & , ) . ) - * s [^g _W\ YX_a[_Xc^ cb _W\ kWce\ _\[f [Y ( & ) & , ) . ) - *+ n / 01 U 2 3 4 w VW\ g\^X_Xc^ cb [ Z[]_X`ae[] YqXee _cZ ]XmW_ hcl c^ md a]\ 5 `c^YXY_Y ]Y_ c^ _W\ g\YXm^ [^g XfZe\f\^_[_Xc^ cb _W\ `c^_]cee\] _W[_ Z\]bc]fY _W\ g\YX]\g [`_Xc^ _WXY XY ]\Z]\Y\^_\g [Y _W\ ba^`_Xc^ 6 7 z89 {z X^ _W\ ma]\n VW\^s Kick_Goal Needs: Get_Ball Look_for_Goal Priority Kick_Goal Get_Ball Look_for_Goal Ready( ) (Goal.Pos.known) & (Ball.Dist<2) Execute( ) send (kick pow dir) Look_for_Ball DO Skill: Kick_Goal 1 Time: 1 Called: Expanded: True Evaluate( ) A DO G E Get_Ball N D 2 1 False A DO DO Look_for_Goal Kick_Goal 2 1 False 1 1 True Xma]\ 5 £ i\e[_Xc^Y [fc^m _W\ YqXeeY [^g _W\ [m\^g[n [ `c^gX_Xc^ bc] _]Xmm\]X^m _W\ `c^_]cee\] ^[f\g : ; X^ _W\ ma]\ XY \Y_[heXYW\g X^ c]g\] _c q^ck Xb _W\ z| `c^d _]cee\] `[^ h\ \l\`a_\gn ^ _W\ `[Y\ cb _W\ YqXee h\X^m \o[ea[_\g ha_ ^c_ h\X^m [he\ _c \l\`a_\ X_Y [YYc`X[_\g `c^_]cee\] _W\ : ; ba^`_Xc^ ]\_a]^Y [ < o[ea\s _W\ YqXee Z]coXg\Y z|[ eXY_ cb YqXeeY _W[_ `[^ f[q\ X_ =\l\d `a_[he\ > n VWXY eXY_ W[Y h\\^ ^[f\g ? zz X^ _W\ ma]\n VW\ ]\f[X^X^m Yec_ cb _W\ hcl XY _W\ @ [YYXm^\g _c _W\ h\W[oXc]n VWXY o[ea\ `[^ h\ aY\g X^ _W\{; W\a]XY_X` ]ae\Y _c Y\e\`_ [`_Y b]cf _W\ [m\^g[n p^`\ _W\ YqXeeY cb _W\ ]chc_ W[o\ h\\^ g\YXm^\gs X^ _WXY \l[fZe\ k\ kXee `c^YXg\] c^er _W\ bca] YqXeeY _W[_ [Zd Z\[] X^ _W\ _cZde\b_ _]\\ cb ma]\ 5 s _W\ W\a]XY_X`Y W[o\ _c h\ g\^\gn \_ aY YaZZcY\ _W[_ k\ Y\__e\ aZ [ YXfZe\ W\a]XY_X`£ =\e\`_ b]cf _W\ [m\^g[ _W\ [`_ kWcY\ @ o[ea\ XY _W\ WXmW\Y_ b]cf _W\ c^\Y _W[_ []\ : ;> n \_{; aY [eYc YaZZcY\ _W[_ _W\ X^bc]f[_Xc^ _W[_ _W\ z| ]chc_ W[Y [hca_ _W\ kc]eg XY _W\ ][k g[_[ _W[_ X_ m\_Y b]cf _W\ ichcjaZ YXfae[_c] [^g _W[_ X_ gc\Y ^c_ `c^`\]^ c_W\] _\[fdf[_\Y YqXeeYn cs X^ _WXY \^oX]c^f\^_s k\ []\ `c^d YXg\]X^m c^er [`_Y cb _rZ\ n ^ Ya`W [ YXfZeX\g \^oX]c^f\^_s _W\ ]chc_ XY c^er [he\ _c eccq bc] _W\ h[ee [^g _c qX`q X_ _ck[]gY _W\ cZd Zc^\^_ mc[es [``c]gX^m _c _W\ A BCD E F G H YqXeen ^ c]g\] _c gc _W[_s _W\ ]chc_ W[Y _c h\ =Y_Xfae[_\g > _c gc X_n VWXY f\[^Y _W[_ _W\ ]chc_ W[Y _c h\ X^X_X[eX\g _c Za]d Ya\ _W\ mc[e A BCD n VWXY X^X_X[eX[_Xc^ XY Z\]bc]f\g hr X^Y\]_X^m _W\ [`_E FGIH J A BCD E F G HK X^_c _W\ [m\^g[n VW\ `cfZc^\^_Y cb [^ [`_ [Y YWck^ X^ Xma]\ 5 []\£ _W\ _rZ\ cb _W\ [`_ s s \_`n L _W\ ^[f\ cb _W\ [YYc`X[_\g YqXee L _W\ `ca^_\]Y M G H HNO s _W[_ X^gX`[_\ _W\ ^afh\] cb [`_Y _W[_ ]\aX]\ X_s [^g B N _W[_ q\\ZY _W\ _Xf\ kW\^ _W\ [`_ k[Y X^Y\]_\g X^_c _W\ [m\^g[ L _W\ YkX_`W G O NO s _W[_ X^gX`[_\Y Xb _W\ ^\\gY cb _W\ [YYcd `X[_\g YqXee W[o\ h\\^ [gg\g _c _W\ [m\^g[ c] ^c_ L [^g _W\ ba^`_Xc^ G H G N s _W[_ X^gX`[_\Y kW[_ W[Y _c h\ gc^\ kW\^ _W\ [`_ XY Y\e\`_\g bc] \l[fZe\s \l\`a_\ X_Y [YYc`X[_\g YqXee Xb _W\ _rZ\ cb _W\ [`_ XY n VW\ k[r _W\ `c^_]ce `r`e\ kc]qY XY [Y bceeckY£ ]Y_s _W\ [ZZeX`[he\ [`_Y []\ Y\e\`_\gn VWXY XY [`WX\o\g hr `c^d Yae_X^m _W\ : z|; ba^`_Xc^ cb _W\ YqXee [YYc`X[_\g _c \[`W [`_n b _W\ [`_ XY ^c_ [ZZeX`[he\s _W\^ _W\ G O NO YkX_`W XY `W\`q\gn b X_ W[Y ^c_ h\\^ \lZ[^g\g X_Y ^\\gY []\ X^Y\]_\g X^_c _W\ [m\^g[ eXq\ I J NNO K [`_Yn VWXY [ggX_Xc^ `W\`qY Xb _W[_ [`_ W[g h\\^ Z]\oXcaYer [gg\g _c _W\ [m\^g[ hr c_W\] [`_Yn b _W\ [`_ [e]\[gr k[Y X^ _W\ [m\^g[s _W\ `ca^_\] M G H HNO cb _W\ [`_ XY X^d `]\[Y\gn p_W\]kXY\s [ ^\k [`_ XY [gg\g _c _W\ [m\^g[n p^ _W\ c_W\] W[^gs Xb _W\ [`_ XY [ZZeX`[he\ [^g W[g h\\^ \lZ[^g\gs _W\ `ca^_\] M G H HNO XY g\`]\[Y\gn _ _W\ Y[f\ _Xf\ _W[_ _W\ [ZZeX`[he\ [`_Y []\ Y\e\`_\gs _W\ [`_Y kWcY\ M G HHNO `ca^_\] XY \a[e _c \]c ^c c_W\] [`_ ]\aX]\Y _W\f []\ ]\fco\g b]cf _W\ [m\^g[n p^`\ _W\ [ZZeXd `[he\ [`_Y W[o\ h\\^ Y\e\`_\gs _W\ gcf[X^ W\a]XY_X`Y []\ [ZZeX\g _c Y\e\`_ _W\ c^\ _W[_ kXee h\ \o[ea[_\gn VW\ Y_[_\ cb _W\ [m\^g[ X^ Xma]\ 5 YWckY _W[_ _W\ [`_ I J A BCD E F G HK k[Y X^Y\]_\g X^ _W\ [m\^g[ [_ _Xf\ [^g X_ W[Y h\\^ \lZ[^g\gn Y [ ]\Yae_ cb X_Y \lZ[^YXc^s _W\ [`_Y I J FF D F E F G HK [^g I J E N G H HK k\]\ X^Y\]_\g [_ _Xf\ 5 n VW\Y\ [`_Y W[o\ ^c_ h\\^ \ld Z[^g\gs [^g []\ `[ee\g hr _W\ [`_ I J A BCD E F G HK n VWXY f\[^Y _W[_ _W\ [m\^g[ YWckY hc_W _W\ `a]]\^_ Y_[_\ cb _W\ [m\^_ mc[eY [^g Z[]_ cb _W\ WXY_c]r cb X_Y [`_XoX_rn VW\ _]\[_f\^_ cb _W\ c_W\] _rZ\Y cb [`_Y kXee h\ YXfd Xe[]n p^er _W\ \o[ea[_Xc^ cb _W\Y\ [`_Y kXee h\ gX\]\^_n c] X^Y_[^`\s Xb [^ [`_ I J F F D F E F G HK XY \o[ea[_\gs X_ `[^ ]\Yae_X^ _W\ \o[ea[_Xc^ cb _W\ YqXee D [^g _W\ X^Y\]_Xc^ cb X_Y ]\Yae_ [Y [ F F F E F G H I J N H K [`_ X^_c _W\ [m\^g[n 2 0 v w!¡! !U _ j[]ecY ^Xo\]YX_r k\ W[g h\\^ Z]\oXcaYer kc]qd X^m kX_W ca] yW\Z\][ fX^Xd]chc_Y x c^g[g[ z{ |}~s s [^g k\ W[g \lZ\]X\^`\ g\YXm^X^m ]\[`_Xo\ eck e\o\e h\d W[oXc]Yn cs k\ \lZ\`_\g _W[_ _W\ f[X^ Z]che\f kcaeg h\ _c g\YXm^ _W\ `cfZe\l h\W[oXc]Yn \ h\m[^ _c kc]q kX_W _W\ ichcjaZ YXfae[_c] [^g _W\ Ycb_k[]\ k\ W[g Z]\oXcaYer haXe_s kWX`W XfZe\f\^_Y bar `c^_]cee\]Y [^g _W\ f[X^ Z[]_ cb _W\ [m\^g[dh[Y\g `c^_]ce []`WX_\`_a]\n \ gXg ^c_ Ya\] f[^r Z]che\fY X^_\m][_X^m hc_W Ycb_d k[]\Yn ck\o\]s _W\ Z\]bc]f[^`\ cb _W\ eck e\o\e h\d W[oXc]Y W[o\ YWck^ _W[_ W[]g\] kc]q W[Y _c h\ gc^\ X^ c]g\] _c _a^\ _W\ bar `c^_]cee\]Yn VW\ ]Y_ \fZX]X`[e _\Y_ YWcks bc] X^Y_[^`\s _W[_ _W\ ]chc_Y []\ [he\ _c Y`c]\ mc[eY kX_W _W\ _W]\\ YXfZe\ h\W[oXc]Y g\Y`]Xh\g c^ Xmd a]\ 5 n ck k\ []\ f[X^er kc]qX^m X^ _kc [YZ\`_Y cb ca] []d `WX_\`_a]\£ i\^X^m _W\ h[YX` h\W[oXc]Y [^g XfZ]coX^m _W\ `ccZ\][_Xc^ f\`W[^XYfY X^ c]g\] _c aY\ gX\]\^_ [_d _[`q Y_][_\mX\Yn ^ _W\ ]Y_ [YZ\`_ k\ []\ Y_agrX^ms bc] X^Y_[^`\s Wck _c XfZ]co\ _W\ h[YX` YqXeeY aYX^m Ycf\ qX^g cb f[_W\f[_X`[e Z]\gX`_Xc^ [hca_ _W\ ]chc_ fcf\^_Y _c q^ck X_Y ZcYX_Xc^ [_ [^r fcf\^_s _W\ h[ee fcf\^_Y _c Z]\gX`_ X_Y ZcYX_Xc^s \_`n !U x ][X_\^h\]ms [e\^_X^c ][X_\^h\]mn z 8}z ~ 6 7 z z { ¬ ; {z{ 8 @ ; 8} ; n V ]\YYs j[fh]Xgm\s s n x ]ccqYs icg^\r n ]ccqYn ]chaY_ e[r\]\g `c^_]ce YrY_\f bc] [ fchXe\ ]chc_n 6 6 6 9 |} : { 8 | 9 { |{ s id 5 s n xjcW\^ [^g \]][ae_s WXeXZ in jcW\^ [^g jn i[rfc^g \]][ae_n e\f\^_Y cb [ Ze[^dh[Y\g _W\c]r cb YZ\\`W [`_Yn ! {" z ¬ 8 z 8zs id 5 £ # #$ 5 5 s n xyX_[^c z{ |}~s X]c[qX yX_[^cs X^c]a Y[g[s %[d Yac ya^XrcYWXs _YaqX cg[s [^g XX`WXn pY[k[n ichc`aZ£ VW\ ]chc_ kc]eg `aZ X^X_X[_Xo\n ^ @ 8zz {z ! & ' ( 6 {z {| z { | ) * zs Z[m\Y $ 5 s n x [_\ee[^+ z{ |}~s X`\^_\ [_\ee[^s + , cY \+ [^a\e ceX^[s [^g j[fX^c \]^ [^g\n + \[]^X^m bar h\d W[oXc]Y bc] [a_c^cfcaY ]chc_Yn ^ - 9 { 6 9 z| ( * z| : { s y[]eY]aW\s . \]f[^rs / \`\fh\] n x [_\ee[^+ z{ |}~s X`\^_\ [_\ee[^s + , cY \+ [^a\e ceX^[s [^g c]\^c cff[]am[n ar `ccZ\][_Xc^ cb [a_c^cfcaY ]chc_Yn ^ @ 8zz {z - 9 { {z |{ |} ¬ ; 9 {z}} z { : { 8 ¬ ; {z s XYhc[s c]_am[es , aer n x c^g[g[ z{ |}~s ][^`\Y`c c^g[g[s gc[]gc ][^Xs [^g [cec \^^\n chXe\ ]chc_ fX^X[_a]XY[d _Xc^£ _cce bc] X^o\Y_Xm[_Xc^ X^ `c^_]ce [emc]X_WfYn ^ @ 8zz {z { {z |{ |} ¬ ; 9 6 7 z z {|} : { 8 s yrc_cs , [Z[^s n x cg[s _YaqX cg[n c``\] Y\]o\]£ YXfae[d _c] cb ]chc`aZn ^ @ 8zz ¬ ; 9 0& 'n , [Z[^\Y\ c`X\_r bc] ]_X`X[e ^_\eeXm\^`\s / \`\fh\] n x_c^\ [^g \ecYcs \_\] _c^\ [^g [^a\e[ \ecYcn Vck[]gY `cee[hc][_Xo\ [^g [go\]Y[]X[e e\[]^d X^m£ `[Y\ Y_agr X^ ]chc_X` Yc``\]n V\`W^X`[e ]\Zc]_s `Wcce cb jcfZa_\] `X\^`\n j[]^\mX\ \eec^ ^Xo\]d YX_rs n