!" # $%'&()*,+-.&$%'&( !/ 1 23426587:9;=<7=>?9@26;ACB29EDF7GH@IB29EGJK;DF;L;A@;9MN;ACB29EGJK2OB;3479EL; 342A?@2JK?PF7D?QARL;SJK;TU?2A;9VIR2O'W.;@?>29V34;L?7A@X;SY;L;9VL;S9;A92JK;9MZ;B[D2AD;G@2RL; ;A@JK7\7[IA7 ]]]^]_`+-]a ;AaJ,;B7D?QA D2Ab;BGJK2GQ9?@2bG7JK7S;BcI;d9;dL?9;\7Me5fL?D<2bD2AD;G@2b;9@gd9I'W.;@2R7dIA7d734GB?2 7O7A?D2hL;i?A@;FJKGJK;@7FD?j2A;9Mk;AhlKIAD?QAhL;Bd@j?G2hL;i9;A92JK;9m;34GB;F7L2n56L;iB79 D7JK7FD@;JKH9@?D79%L;Bo;9pD;A7JK?2=2=PF2A7E7R342A?@2JK?PF7JqsrtA=B7R347u582JKH7RL;EB29vD7929MwB7 lK?A7B?L7LxL;B7Y;Lx;9@;FA;J-D7L7B2D7B?PF7D?QAxyKIV2O'W.;@?>2z-L;Bt;9G7D?2xlKH9?jD2xL;?A@;JK{9 L;A@JK2L;B|JK7ATU2L;9;A9?jO?B?L7LL;7B|34;A29IA9;FA92Jq } 2J2@JK7ZG7JK@;M;AwB79~7GB?XD7D?2A;9~JK;F7B;9M<7u5cI;Z@;A;J;AwDI;A@j7ZcI;Z;AwIA7ZY;L L;%9;A92JK;9?A7Bg34OJK?D7MD7L7%IA2L;%B299;A92JK;9L;%B7%Y;L;9IAL?X9G29?@?>2yKL; G;cI;\7L?34;A9?QAzDI5U7lKI;A@j;L;;A;FJ,TUH79I;B;9;FJIA7O7@;JKHj7?AD2JKG2JK7L7;A ;B GJK2G?2VL?9G29?@?>2`q79B?34?@7D?2A;9lKH9?D79L;BL?X9G29?@?>2V?X34GB?D7AVcI;4BX74D7A@?L7LVL; ;A;J,TUH7wL;wDF7L7w9;A92JKM`5aG2J-@7A@2;B@?;34G2L;>?L7wL;B34?9342MS;9e@734O?{AB?34?@7L7q } 2J7\7L?LIJK7Ms;AB7347F582JKH7L;B79a7GB?DF7D?2A;F9B29a9;A92JK;9aL;IA7Y;L92B292A I@?B?PF7L29[IA7]>;PaL;O?LU27]cI;]B79O7@;JKH79A2kGI;L;A9;JJK;;34GB7PF7L79w2JK;D7J,TU7L79 D2Al,7D?B?L7LM587acI;a734;AIL2B7aJK;LL;]9p;A92J,;99;aL;9GB?;FTU7a;APF2A79?A<Q9G?@79I <29@?B;9(q7;A;J,TUHj7w;9eG2J~@7A@2;BJK;FDIJK9234g9e?j34G2JK@7A@;wL;wB7JK;LM%5]G2J~;BB2;AB79 7GB?D7D?2A;9L;Y;L;9L;9;A92JK;9yK79HtD2342;AxB79;9@JK7@;TU?79L;L;9GB?j;TUI;z-9;L;O; G;JK9;FTUI?JKM|D23424IA24L;Bj29JK;cI?9?@2934g9?34G2JK@X7A@;9M|;B34g9O7.W.24D2A9I3424L;;A;J,TUH7 G29?OB;L;B7wJ,;L`q812A9;FDI;A@;34;A@;ML?9;\7FJ34{F@2L29ZcI;7I3o;A@;A;B@?j;34G2aL;w>?L7 L;B7Y;Ln2G@?34?PF7AL2n;BSD2A9I342 L;;A;J,TUH7;9L;TJK7An?34G2JK@j7AD?7;AB79 7GB?D7D?2A;9CJK;F7B;9(qV;FDIAL7JK?734;A@j;M<7u5cI;n34;AD?2A7J=JK7PF2A;9;FD2AQ34?D7965 734O?;A@7B;9ScI;J,;lKI;FJKPF7A;B4O7.W.2D2A9I342L;Z;FA;J,TUH7D2342IA2O'W.;@?>2wL;9;7OB;q 29A2L29L;[IA7[J,;L]L;9;A92JK;9?A7Bg34OJK?D7[@?;FA;Ah@JK;9Z;9@7L29(q(rtA];B 342L2 ^ IA9;A92JGI;L;342A?@2JK?PF7Jt;B;A@2J,A2o5D234IA?D7JD2A42@JK299;A92JK;9yK2 !0 # $%'&()*,+-.&$%'&( O?;AdD2AdB7x;9@7D?QASO79p;zqrtAS;B-342L2 IAd9;A92JA2dGI;L;x342A?@2JK?PF7JeA? D234IA?D7Jq|?Ak;34O7J,TU2M;B;9@7L2kL;]IAk9p;A92JGI;L;]D734O?7JL; j 7 ^ 34;L?7A@;4B74JK;D;GD?QAVL;4IA749;\7B7GJK2G?7L74yKO?;AVL;42@JK2V9;A92JKMO?;AVLU;4B74;9@7D?QA O79;zq?A7B34;A@;;A;BZ342L2 ,+-'` yK2lKlKFz[;FBA2L2%;9@gD234GB;@734;FA@;k?A7D@?>2M O?;A4G2Jt7FTU2@734?;A@24L;B7O7@;JKH7MO?;A4G2JKcI;;FBA2L249;<77G7FTU7L2oL;l,?A?@?>734;A@;q rt?9@;AV>7JK?2934{@2L29G7JK747<2JKJK7FJ=;A;FJ,TUH74;Ak;BlKIAD?2A734?;A@2VL;4B7oJK;LM;A@J,;4B29 cI;D?@73429( • • • J,TU7A?PF7JB76J,;LL;l,2JK3476cI;69;7B@;JKA;AB29 9;A92JK;9 ^ 5¡B29 q 12A@JK2B7JB7;A;J,TUH7D2A9I34?L77.W.I9@7AL2a@7A@2a;BJK7ATU2aL;@J,7A934?9?QAaD2342 B29D7A7B;992OJ,;B29cI;ZL?9DIJKJK;B7@J,7A934?9?QA`q Y;LID?Ja;Bw>2BI34;A¢L; L7@29@JK7A934?@?L2m5;>?@7JaB7?AlKJ,7I@?B?PF7D?QA¢L;B7 D7G7FD?L7LL;@J,7A934?9?QA`q tr AVB2VcI;49?TUI;4A29D;A@jJK7JK;3429;Ak;BGJK?34;J34{F@2L2M5874cI;4@7A@2V;B9;FTIAL2 D2342];B`@;JKD;FJK2]9;[2JK?;A@j7A]7[B79D7FJK7D@j;JKH9@?D79@{FDA?D79L;[B7[J,;L`q(;[@JK7@7L;[2JKT7A?PF7J QG@?34734;A@;]B29A2L29[L;]B7]JK;L£;A@JK;]7FD@?>295kLIJK34?;A@;9MtL;]lK2JK347]cI;]B29A2L29 cI;DIOJK7AwJK;LIAL7A@;3o;A@;IA2O'W.;@?>2GI;L7Aw;A@JK7J;A342L2LIJK34?;A@;q 1 2ADJK;@734;A@;M|;A4;9@;DF7GH@IB2;9@IL?7JK;3429;BGJK2OB;347eL;eB7IO?D7FD?QA4L;eB29 A2L29[L;o9;A92JK;9h;AkIAkgJK;7o342A?@2JK?PF7L7a5x9I2JKT7A?PF7D?QAM@7BcI;o9;]D2A9?TU7oIA7 D2O;JK@IJ,7D234GB;@j7=7<2J,JK7AL2o;A;J,TUH7G7FJK7GJK2B2ATU7FJtQG@?34734;A@;B7>?L7L;B7JK;L`qF? @2L29B29e9;A92JK;9L;B7JK;Lx9;7D@?>7J,7Ax7B7>;PFM`;A@2AD;9;Bt@?;34G2xL;>U?L7L;B7JK;L 9;JKH7[?jTUI7B`7B`@?;34G2]L;>?L7[L;[IA2]L;9I99;A92JK;9yK79I34?;AL2n9;A92J,;9<2342TU{A;29 D2AB7e34?9347e>?L7zKMG2Jt;.W.;34GB2ML; <2JK79(q } ;J,29?2JKTU7A?PF73429-B29-A2L29-L;eB7eJK;L;A IAVD2A'W.IA@2VL;49IOD2A'W.IA@29M2 ¤ 34I@I734;A@;4;DBI58;A@j;9ML;4lK2JK3474cI;4DF7L7 9IOD2A'W.IA@2¥9;7¦D7G7P¦L;¦DIOJK?J6D234GB;@73o;A@;§@2L29¡B29¡2O'W.;@?>295L?D<29 9IOD2A'W.IA@29w9;7AL?9¨W.IAU@29w;A@JK;a9HM9;a7<2JKJK7JKga;A;J,TUH7aGJK2B2ATUgAL29p;§BX7a>?L7aL;aB7 JK;L;A ª ⋅ © <2JK79eyKL2AL;w©4;9e;BA«34;FJK2L;D2A'W.IA@29eL?9G2A?OB;9zqUrtA;l,;D@j2M;9@29; D2A9?TUI;a7FD@?>7AL29ID;F9?>734;A@;aD7L7aIA2L;aL?D<29w9IOD2A'W.IA@29ML;]lK2JK347acI;a;A D7L7?A9@7A@;9QB2o<7F5IA]9IOD2A'W.IA@2o7D@?>2M¬34?;­A@JK79scI;B29sL;34g9s;9@gAoLIJK34?;A@;9M ! ®¯° ª±²³´µ¶²· ° ª² ¯¸¹¯ ´²º»²¶²µ¼º´±½³ª ¯¾¿ ´µ 579H-<79@77FTU2@7Je@2L29B29DBI9@;JK9L?9G2A?OB;9(q17L7IA2dL;@7B;9DBI9@X;JK99;BB7347 @734O?{A12A'W.IA@2DIOJK?L2JKq } 2J2@JK7G7JK@;Mv5o;AalKIAD?QAaL;B29Z2O'W.;@29Z7DIOJK?JKMB29ZGJK2OB;3479ZL;wD2O;JK@IJK7 G2JÁR8ÂÃ92AvL;VL29o@?G29( · ° ª² ¯¸¹¯ ´v¶²wÄ ¯ ²´ 5S;A · ° ª² ¯¸¹¯ ´v¶²VŪÇƲ ¸¾È° µ qrtAv;B GJK?34;J@?G2M¬;B2O'W.;@2oL;?A@;JK{9s7DIOJK?jJ;9sIAogJ,;F7M54;Ao;B9;FTUIAL2o;9IAD2A'W.IA@2oL; GIA@29hIÉ2O'W.;@?>29(qd?AÉ;34O7J,TU2MD2342É>;FJ,;3429h7D2A@?AI7D?QAM734O29h;9@gA ;9@JK;D<734;A@;ZJK;B7FD?2A7L29(urtAwB7Z2G@?X34?XPF7D?QAwL;B¬@?;34G2wL;Z>?L7ZL;Z12O;­JK@IJK7EL;ZIA7 JK;LMB7e12O;JK@IJ,7eL;eÊJ,;7mGI;L;e@JK7A9lK2JK347JK9;;A412O;JK@IJK7eL; O'WË;@?>29(q } 2J;BB2M;A ;9@;GJK2OB;3474D2A9?L;FJK7J,;3429IAx342L;B2xL;412O;JK@IJK74L; O'WË;@?>2934;L?7A@;IA74JK;L ÁR8Â]M`L2AL;B29e9;A92JK;99;L;9GB?;TU7A7B;F7@2JK?j734;A@;;AxB7PF2A7L2AL;9;9?@«7AxB29 2O'W.;@?>29-7eDIOJK?JKM¬5;A>Hj7A?AlK2JK347D?QA7eIA7e;9@j7D?QAO79;qert9@IL?7J,;3429-;BGJK2OB;347 L;d7B7J,TU7FJB7d>?L7dL;dB7SJK;LMGJK2G2A?;AL2b>7JK?29x7BTU2JK?@3429xcI;STU;A;FJK;FAb;B34g?32 A«34;JK2RL;v12A'W.IA@29VDIOJK?L2JK;9VL?9¨W.IA@29MZ7A7Bj?PF7AL2R;BD234G2JK@734?;A@2RL;SL?D<29 7BTU2JK?@342992OJK;:L?9@?A@29;9D;A7FJK?297B;7@2JK?j7F34;A@;:T;A;J,7L29Mk5D234G7JK7AL26B29 JK;9IB@7L29cI;DF7L7IA2wGJK2G2JKD?2A7q Ì4ͧÎvÏ|Ð-ÑXÒ¢ÑXÓÏtÔ|ÑXÕÖ=×ØÙÚÛÑXØÒÜÝ×~Ø¢ÞZÝß~Øà'ÚÛá~à'ÏâZãÖ:Ø|äØÒÜ~ÙåÝÑXÙXáæÚà'ÏtÚÑ ç-Ý è A@;9ZL;7A7B?PF7JB29Z;B;­34;A@29ZcI;D2A9?L;JK7JK;F3429Z;Aa;BGJK2OB;347M>;73429ZIA ;.W.;34GB2a?BI9@JK7@?>2aL;B2]cI;9;G;JK9?jTUI;q8IG2AT73429ZcI;L?9G2A;3429ZL;IAaD2A'W.IA@2 L; é 9;A92JK;9G7J,7DIOJK?JIA7D2B;DFD?QA L; ê 2O'W.;@?>29(qrtA IA D792bTU;A;FJ,7BMsD7L7 9;A92JwDIOJK?J,gIA2 2 3og9L;@7B;9ë2O'W.;@?>29M5D7L72O'WË;@?>2 ;9@7J,gDIO?;JK@2 G2Jw7B 34;A29oIAv9;A92Jq`rtAvAI;9@JK2v;.W.;34GB2M~@;A;3429]v9;A92JK;9( îðí M ï M î ì MC5d0%2O'W.;@?>29 !À ñ ¹¾ ±±² ¯ ³ °ò ´'ó(´ôõ,ö-².󶲱 ° µ ò%° ó ° µ ¸í M ù M ¸ ø L;vlK2JK347vcI;vDF7L7vIA2EL;vB29k9;A92JK;9úDIOJ,;AEB29k2O'W.;@?>29kD2342E9Û?TUI; î í = {¸ í M ¸ ý M ¸ ü M ¸ û }M î ý = {¸ í M ¸ ý M ¸ ø }M î ü = {¸ ý M ¸ ü M ¸ û M ¸ ø }M î û = {¸ ý M ¸ ü M ¸ ø }M î ø = {¸ í M ¸ ü M ¸ ø } 5 î ì = {¸ ü M ¸ û M ¸ ø } qtrt9@;d;9cI;347dL;dD2O;FJK@IJK7d9;dGI;L;d@734O?{AR;GJK;97J34;L?7A@;dIA7 @7OB7L;L2OB;;A@JK7L7y,?TUIJK7`qÿþ'zKMcI;;AdB7?34GB;34;A@7D?QAdL;B-7BTU2J,?@342d9;JKgIA7 347@JK?PwO?A7JK?7 é × ê ML2AL; = !" $# = % & & (' s q zq 1 zx 1 s x 1 1 w y 1 1 "v 1 1 1 1 1 1 1 zx 1 "w s p 1 1 w 1 1 | 1 1 1 zp 1 1 1 s p v "w 1 { zq 1 v 1 s x y 1 1 zp 1 "v u q 1 1 1 1 1 u x 1 1 1 1 1 ` w &0/ 0. &1 .243 & & 5 & 50 & 65 )+* ,,-. & / 859::;< & .2. & 67>= & ?#@-;A & < * -7 .2 .2.2B.2-B5@5 &@CD -, / @B6 & 7>; & 5 & 5 & 2- E. & F# &G/ @ & . & #H= & 5F & +65IJLK. & 5 & +-M D .27>N;OP'HQ & & -;;7 & M & 5 & 5R &RS 5 5T5<< L54 .2<<GVUWXY "Z[ Y\ ] ^ 5_ ` Aa ^ b5 ^ bI=c & / & 5 &I a5 ) &I .2- & .2;+5MM d' ]e& 5 &+ F5+ ] ^ 5Mf & & Jg & .Ag.2 & bb5.2Jb-;. & a2 & 5a5 .2c'Ihi j- . & 5k. &1 .23 & l & 5 & 5;k & 58fkE & 5 6Jk8. &1 .23 & lj .285 ^ 5m ` 'nhiFo .2-; & ,,-. &+C .2F+J+.2J & 5 & O / 0. &1 .243 & & 5 & 50 & 5J05 & 5 & - ) u q ` ` = {s q rts p } x = { w v } w = { x y } ' !÷ } [~ W Z Y Z ` ~Z[" X [ Ze0Z Z Y W g[ UY & , & 67 .2; & .2j.2 & 5 & .2?$.2N5A5l5-7 ?5l C6& & O#E-a5 & ) ] & 5I / ;5 & .2 - . & ' ͧÎ8ÚÛÝ×Ý×Ø¢×~ØæÜÙXÑXØi~á~ØZâ0oÑXæÜØà'æÑåÕÖ:ÏÙXØÏtÚÝàÑXÏ & & E7> & 5+5;-7 +5+M6M5+ & 6 5F- & ,56J-65.2 & 5 & \ # 5-55R5A & & .23 & P'jh 1 4R 5+f 5;.2= &+C F; & & -EO? & & & & & 8 & 38-k & & 5-7 05.2= .2- & & ) • • ]e& 5Gl5-7 f & 3 & G3 & k D ,;- & +.2 & +7 & k -7> & & - & ;.2 & d' ]e& 5 & 65 k7 & .252 5aK;. &a/ ai5;-7 5.2= &0 & 5 c' Qj:.2N5:5A5-7 3 & 5: & & 55A?;? 5- & 5g & 7> & ;55 & - & k a & 3 & ,(' &a& & 5 &k & ,8- & 5;kAA .2- & 5-7 & 5 87> & 8.285 ? & 3 & i / & .2 & & - & 5 & 5:5 & 5AE? d' g5 & g ; 7>5g-;egg2= & & & & , & f (55afa & & .2- / & 5 & P' * . -- &a 5 & .2 & 6 7>a & 5 & 9 5;-;7 \5.2= 2# &</ &a & Kb5i.25afg & - & &a E J & ' * & & ,L7 & 55 D ;.27>N;+ LJ & 5;F & . &¡ £§ ¢E¤ ¥¦¢ 5 [ ¨ & 7>k52; 5 & k 5 5 & 5 & C 52K. &2/ 2¨ & ;7>k525 , 5+ 95 5; & 5 [ O ¨.2=.29;.2©£5 fF & - & & (5 D& J & J05 & 5;-( & & , Cª E7 &+« ' ¬O ) © [ xπ ¬ π § ¢E¤ ¥¦¢ = ¬ ­ ® X WW Z[g~e¯ °de±²6³ Z °g Z W ~ Y ¯´~ ° ~ Y µ·¶¸f¹º¼»¾½4¿H»ÀeÁHº ¿HÂAü»ºnÀ »ºnÄ¿Å4À6»Æn¸f ºÅnÇÈ ÂÉ Ç¸ÂHÊHÇ˺¼»f¸gÁdº ¸HÁH¸HÌÎÍ Ï f¸ »g½¼À¼Âd½¼¸HÐÆn¸fÂÌÎÉ4ÁHº¼»À¼»fº6ǸdÌÑÌκ¼ÂÌθf»fºnÌaÁdºnÌEÒÅ4ºnÄdÀnÁH¸HÌFÀnÅ4ºÀ¼½¼¸f»É4À6Ǻ¼ÂH½6ºnÐÓ9¿HÂÔǸHÁdºnÅ4¸ÔÁÕº Æn¸fÂH½4»f¸dÅjÆnº6ÂH½4»fÀÅ4É4ÖÀnÁH¸dµjºnÌE½¼¸ÔºnÌÎÐ$¿HÂÀF׺nÖØf¿ºkÅ4¸HÌ+¸HÁd¸HÌ2ÌκFÙÀ¼Â\ÁHºnÌEÒŦºnÄdÀnÁH¸HÐMÌθfÂ\ÆnÀ¼ÒÀnÆnºnÌ2ÁÕº ½4»fÀ¼ÂÌEÇËÉ ½¼É »jÌE¿F¿H¹É4ÆÀnÆnɦÚfÂkÀ¨¿HÂÀIºnÌE½6ÀnÆnɦÚfÂF¹ÀnÌκnÍcÛjÉ4ƼÙÀ+ºnÌE½¼ÀnÆÉ4ÚfÂF»ºnÆn¸HÄdº¼»fÃ+Å4¸HÌMÁHÀ¼½¼¸dÌ(Ó˺nÌE½¼À¼¹Å4ºnƺ¼»Ã Å4Àe¸f»fÄdÀ¼ÂÉ4ÖÀnÆÉ4Úf ÚfÒd½¼É ÇËÀeÁHºbÅ4À »fºnÁÒÀ¼»À ÒH»f¸HÅ4¸fÂÄdÀ¼»ÀnÅnÇËÃnÜHÉ Ç¸IºnŽ¼É¦º¼ÇÒ¸gÁdº ×É4ÁHÀeÁdºeÅ4À(ÇÉ4ÌEÇËÀnÍ ÞZÍÝÑXÜÝ×~Ø¢ÞZÝßØà'Úá~à'ÏâZÞZÝßØà'Úá~à'Ï¢×ØÞßäØÚÛÑ ç-Ýæ ¶ ¸fǸlÓoÀFÌκjÙÀj×É4ÌE½¼¸HÐ$Å4¸HÌÒH»f¸f¹Å4º6ÇÀnÌ+ÁHºF¶¸f¹º¼»¾½4¿H»ÀjÒd»fºnÌκ¼ÂH½6À¼ÂLÇ¿Å ½¼É ½4¿ÁÁHºj×À¼»fɦÀ¼ÂH½¼ºÌ ¹ÀnÌÎÀnÁHÀnÌ?º¼ÂÅ4ÀnÌ?ÆÀ¼»fÀƼ½6º¼»fÈ4ÌE½6É4ÆnÀnÌ?ÁHºÅºnÌÎƺ¼ÂÀ6»fÉ4¸HÐiº6ÂÅ4ÀnÌM»fºnÌE½4»fÉ4ÆÆnÉ4¸fºnÌ?ÁHº ŦÀg»fºÁaÓº¼ÂºnŽ¼É Ò¸:Ádº ¸f¹fßnº¼½¼¸HÌFÀËƼ¿H¹H»É »fÍàÉbºÅ ½6É Ò¸ÔÁHºË¸f¹fߺ¼½¼¸ÀÌ^º¼»AƼ¿H¹É¦º¼»¾½6¸ÔºnÌ0¿HÂGü»ºnÀ?½6º¼Âº6ǸHÌ0¿HÂÒH»f¸f¹Å¦º¼ÇËÀÁdº ¶¸f¹º¼»¾½4¿H»À8ÁHºLá0»fºnÀnШÇɦº¼Âd½4»fÀnÌkØf¿ºÌÎÉ?ºnÌF¿HÂÆn¸fÂfß6¿HÂd½¼¸GÁHº8¸f¹ßnº6½¼É ׸HÌk¸ÒH¿HÂH½¼¸H̽¼º¼Âº¼Ç¸HÌF¿H ÒH»f¸f¹Å4º6ÇÀ0Ádº0¶¸f¹º¼»â½4¿H»fÀ0Ádºjãi¹fßnº¼½¼É ׸HÌÎÍàÉ Â˺¼Ç¹À¼»fÄd¸HÐ>änå?æ4çfèéêÎçHëHæ4änì0ífèIîHä0ì0íï;ð¦ì0ð ñíHònð4óHå?îHäjæ4í ô ð4îHí?îdä0æ4ílêÎänî?ä6ï;ð èõ¦ä0öHåHílä6èõ4êÎänòn÷Hí?êÎäæ4íHòð4óHå?änådõ4êÎä0íHìjëHçfèIì0çHîHänæ4çfèÕÐÁHºÙºÆ¼Ù¸HÐ׺6»fº¼Ç¸HÌØf¿ºi¿H ÒH»f¸f¹Å4º6ÇÀÁHº¶¸f¹º¼»¾½4¿H»ÀÁdºá0»fºnÀÌκÒH¿ºnÁdº½4»À¼ÂÌÎøâ¸f»¾ÇÀ¼» º¼ÂÔ¿HÂùÒH»f¸f¹Å¦º¼ÇËÀÁHºË¶¸f¹º¼»¾½4¿H»ÀÁHº ãi¹fßnº¼½¼É ׸HÌÎÍ qï ¸HÁH¸HÌüû¾Ìκ¼ÂÌθf»fºnÌÎýB¸fÇÂÉ4ÁdÉ »fºnÆÆnÉ4¸fÂÀnŦºnÌ þ ÐÆn¸Â ÿ ý¾ÐÁHºRøâ¸f»¾ÇËÀÆÀnÁHÀRÌκ¼ÂÌθf» ÒH¿ºnÁdº [ »fºnÌEÒºnÆ6½¼É ׸HÌÔ»fÀ¼ÂÄd¸HÌ<ÁHºÌ^º¼ÂÌÎÉ ¹É4ŦÉ4ÁHÀnÁ û = ǸfÂÉ ½¼¸»fÉ4ÖÀ¼»b¿HÂ8ÁHÉ4ÌÎÆn¸ËÆnº¼Âd½¦»fÀnÁH¸Ëº¼ÂnÅÔÓÔÁHº0»fÀnÁHÉ4¸ ºnÅ»fÀ¼ÂÄd¸ û cÉÄ¿H»fÀHÍHý¾Í$¸>Ì»fÀ¼ÂÄd¸HÌgÁHº à¿HÒ¸fÂÄdÀ¼Ç¸HÌ\½¼º¼Âº6ǸHÌ ú %% '% &)(%'* +*-,.*-/102/43156&2/1&)(7%'&)84/9*-%;:)* (1:)<1%'=?>@=@A2<CBD<4E6&)8C&)BD<1%$BDF2%02/9&2,.0)(1:)&#=@&2,F)8C&#0G/9&%'&)(%'* +*-,.*-/102/ /1&2,%'&)(%'<C83<1/C8F:H&)(&)8IA)5602,-JC5*.&)8KL<C8MBD0NO(<I(&2A#&2%'0)8*.0)BD&)(9:)&PA2* 8A)5,.0)8CQMR Ô ST 0)(U9<W V =>X/1*-%YA2</1&%'&)(%'* +*-,.*-/102//9&51(Z%[&)(%'<C8CR \ ] ( %'&)(%'<C8^_ V A)51+18C&451(]<C+`2&H:)* E6<aNM<b3151(1:)<9Qcd%'*@>e%'<1,-<f%'*I/1*.A)g<a<C+`2&H:)* E6<a&2%;:)FX&)(h&#, /1*-%'A2<G/1&i%'&)(%'* +*.,-*-/902/j/1&k_ V R#l%'* BD*-%;BD<1=51(m%'&)(%'<C8n_ V A)51+98C&o51(mF)8C&#0 p %'*q>r%'s1,-<t%'*:)<1/1<1%u,-<1% 3151(1:)<1%v/1&2,F)8C&#0&2%;:HF)(Z&H(Z&2,/1*-%'A2</1&%[&)(%'* +*-,.*-/102/w/1&2,%'&)(%'<C8CR x (y,-<1%318<C+,-&HBD02%/9&tBD0#z1* BD*-{#0)8r&2,$:)*.&)B36<|/1&tE6*-/10}/9&D~<C+6&)8M:-51802=I&2,$BD<1/1&#,-</?& ~<C+&)8M:-5180G/1&8C&#0G%'&315&#/1&:-8C0)(%'KL<C8MBD0)8&)(&2,B<1/9&2,-<X/1&G~<C+6&)8M:-5180G/1&G v+C`#&):H* E6<1%BD&2/1*-0)(1:H& &2,$A2<C(6A2&)39:)<r/1&t#~0)B36<1t* (1:-8C<1/C5A#*-/1<w3<C841--cI2#2.G11w1-21 1NM116CQM=6/9&t,-0t%'*-U5*-&)(1:H& KL<C8MBD0 S x (&#,BD<1/1&#,-</9&,.0~<C+6&)8M:-5180/9&8C&#02=&2,oFH8C&200bA)51+18* 8t%'&i30)8L:)*.A2*-<C(60b&)(36&2JC5&H02% %;51+18C&2U9*-<C(&2%'=,-,-0HBD02/902%v9 cC¡?=/1&iKL<C8MBD0iJC5&#111 cG)¡q-¢G-921-£.211G¤91-2129-c1¥ 221 ¦11-w1¡q2C¡q1¥')¡§1¦9-11.-1¥' ¨q1 © F2%vKL<C8MBD02, BD&)(9:)& S ª «1¬­® S \ (r~0)B3<w&2%v&2,A2<C(C`)51(9:)</1&$:H<1/1<1%v,-<1% 3151(1:)<1%vJC5&P&2%;:)F)(rA)51+*-&H8M:)<1% 3<C8 &2,2B*-%;BD<A#<C(C`)51(1:H</1&%'&)(%[<C8C&2%'R ~ <C(%'*-/1&)8C&HBD<1%,.0¯*-U518C0°9RO±1=²A2<C(²A)50H:-8C<Z%'&)(%'<C8&2%'=9>/1<C(/1&³&2,$F)8&20t/1&t* (1:H&)8C´#%&2%&#, 8C&2A):HF)(U5,-<%'<CB+18&202/1<1R$µi&0#A)5&)8C/1<mA2<C(,-0b0)(1:H&)8C*-<C8/1&2KL* (*-A2*-sC(=/1*.A)g0bF)8C&#0&2%:HF30)8L:)*-A#*-<C(0#/10 &)(|¶Z~I0)B36<1% S &#,~I0)B3<XC³&2%i&2,$A2<C(`)51(1:)<r/1&P3159(1:)<1%A)51+6*-&)8L:)<1%%'s1,-<3<8&#,$%'&)(%'<C8¸¹ · =&#, ~0)B3<#1P&2,A2<C(C`)51(9:)</1&$3151(1:)<1%vA)51+*.&)8M:)<1% º1(6*-A#0)B&H(1:)&3<C8I,-<1%v%'&)(%'<C8C&2%k¹ · > ¹ » =1&):HA2R ¼ *8C&)318C&2%[&)(1:H0)BD<1%P/1*.A)g<1%~0)B3<1%$3<C8i,-<1%P<C+C`#&):)* E6<1% À¾ ¿ Á ¿ À ½ = &)(1:)<C(6A2&2%oÃ#Ä ­Å'®1Æ Ä.à ¬t« Ç Ã ¬«1È9É-¬tÉ-Ê'«1Å Ä «XË#É Ç « Ç ÃGÄ «XÅ Ã Ç Ã2ÌÃ2Ä ¬® Ç Ã#Ä ® Ç Ã ª®9Æ Ã Å'Í)ÎqÅ'« Ç ÃÏ Å Ã «Ð à ­Î Ã Ç Ã Í-Å'« Ì Ð Ñ1®1Å'¬«1Å Ã2Ì ¬«1È1É.¬É-Ê'«1Å Ä «Ë#É Ç « Ç ÃÄ «Å Ã Ç Ã2ÌÃ2Ä ¬® Ç Ã2Ä ® Ç Ã ª®1Æ Ã Å'Í)ÎqÅ'« Ç ÃÒ ÆMÓ Ã Í-É.Ë2®1Ð R !#"$! ¼*¾ ¼*½ ¼*½ ºÂ ºÃ ºÄ º» ºÁ ¼*¿ ºÅ ºÇ ¼*À ¼*¾ ¼*¿ ºÆ ¼*À "$#&%('*),+-(.0/2143$56&78:9<;=5?>@6,ABDC=7FE(GIH(7J(5=;=KMLNG>@6EGO;=KMG&5?PNH(56E(GIQ5=G6R?BNST(E6,U0VG&7WH(7J(5=;=KLNG>@6 E(GO;=KG&5<PNH(5=6EGXYK=ZG&P&B [M;(8Y;J(H(7(P&;(8YR?E(A&\M6,U0V $] 7^G,L_>@BN8`>@;aPN5=6&KM6NZ,;(bc(dDef$gNhig,jeNilk(m(naop(qDr,p(m0f$krsR<t(u(uv=VwJ(5=;=J;=7G&7xH(7y>@zP&;(E;{J6&5=6 A,;=>4J(HP&6&5sP&;(E(;(8@LN;(8@A6&>{J;(8@T=HG|8:GyJ(HG,E(G|GDZ,GA&H(P6&5}G&7~H(76|9<6,8:GyJ(5=G&[MBN6,bH76y[MG,ST=HG|LN6 G,8`P&6,ABNC=74KM6,8:G\6Y5=GA,;(BNE(;4LN6,8E(6P&;(8G&7([MBN6,E(;(8J;=5LN;(88:G&78:;=5=G,8:U$HG,8`P&; T=HMGG&7xz8`P&GG,8:T=HG>@6b A,6,E(6A,6>4J;xMA,6,E6;=K=ZG&PB [M;x8:GBNE(G&7(P&BN9<BNA6lJ;=5yLN;88:G&78:;=5=G,8T=HGLN;|A&H(K(5G&7MbLN;(88:G&78:;=5=G,8 J(HG,E(G&7|P&G&7MG&5xE(BN8`PB 7(P&;y5=6&7M;^E(G8:G&78:B KBNLNBDE(6,E(bGB 7MA,L H8:;^G,LY>@;E(G,LN;|8:GlJ(HMG,E(GG&7G&5=6,LNBNS6&5F6 8:G&78:;=5=G,8A&H(6{&5=G,6{E(G{8:G&7M8:B KBNLNBNE6,EW7;8:G,67GA,G,86&5=BN6>@G&7(PG{A,B 5A&HLD6&5=b6{T=HGJ6&5=6{9<;=5?>4HLN6&5WGL J(5=;=KLNG>@6IKM6,8`P&6A,;=7FA,;7;(AG&5LN;(8Y;=K=ZG&PB [M;(8YT=HGA,6,E68:G&78:;=5A&H(K(5G,U * ;=5;=PN5=6IJ6&5?P&G,b=A,;=>@;5=G,9 HG&5=S;E(GG,8`P&GIJLN6&7P&G,6>@BDG&7(P;(bk(:n(g,e$g,q$k(dNR?t(u(u((V8:;(8`P&BNG&7MG&7 T=HGB 7MA,L H8:;G&7H(7>@;(EG,LD;>@,8yG&7G&5=6LWGLJ(5=;=KMLNG>@6EGLN6}O;=KG&5<PNH(5=6EGsQ5=G,68:GJ(HMG,EG 6&J(5=;((B >@6&5J;=5LN6O;=KMG&5?PNH(56E(GXYK=ZG&P&B [M;(8:U(]$7FG,9<G,AP&;(bWE(6,E(;T=HGG,8`P&GwP&B J;EGI5=G,EG8Y8:;=7FE(G5=6&7 P&6&>x6&; E(G&78:BNE(6,E(bA&H6&7ME(;LN;(88:G&78:;=5=G,88:GE(G,8`JLDBNG,6&76,LDG,6P&;=5=BD6&>@G7(P&G8:;=K5=G@H(7&5G,6|6 >@;=7B P&;5=BNS6&5=bLD6aA,;=KMG&5?PNH(56E(Ga&5G,6aG&7A&HG,8P&BNC=7}8:GJ(HMG,E(Ga6J(5=;((B >@6&5Y>@G,E(BD6&7(PGaLD6i,p(g,:qN(:ksng dNp=g,m=p(:g&n(g&`hdDg& k(n(p=G&7LD6>xBN8`>@66{T=HG,bM8:G,¡(7G,8`P&6&KMLNGA,G&7}LN;(86&H(P&;=5G,8:b2K6,8`P&6aA&H(K(5=B 5WLD6 LN;(A,6LNBNS6A,BNC=7FEGA6,E(68:G&78:;5J6&5=66&J(5=;((B >@6&5LN6A,;=KG&5<PDH(5=6E(GA,6,E6IJ(H(7(P&;WE(G,L&5=G6G&7FA&HMG,8`P&BNC=7U O ;=78:G,A&HG&7P&G>@G&7P&G,b_^G&7K6,8:G6P&;(E(;(8aLD;(8a6&5=H(>@G&7P&;(8a6&7(PG&5=BN;=5G,8:b^¢,£(¤*¥:¦N§¨,©:ª©:¨,«4£(¥ ¬ ¤­«4£(§(¨®N£§¨^¯£(°¨,©:± ¬ ©:ª§(¨^²Y°<³,¨,±D¦N´,£(¥4¨,¤¨®wµ©:£°(®N¨,«4ª}§(¨y«4ª(¶¦N«{¦N·:ª(¢,¦N¸(¤§(¨,®±N¦N¨«µ£}§¨ ¢,£(°(¨,©:± ¬ ©:ª§(¨®Nª¹¨,§sU ! % &()*+),-&+.)0/12&435+6+78(2:9-2:&-35-4&*135;2*+&-2</19>=35(69178-?/1?78-@+78+A4-3819 ' *+178=(B/1C&(6135*,35-DE(B14F,+G-91)*1781)*1C9-CG+/-H/1C9-C351/DE781/+-)*1C9-HI1)135-4&+.)B/1 &()#JK,)*(2ML,635+/(3512M/+2NJK,)*(2D?&-/-O,)(H/1199(2M&-=-A/1&,635+3P*(/(29(2M(6#JK1*+G(2RQ S 9=(2*135+(3-)T9+2+2U/1V&(78=91KJK+/-/W=35(6-435TO19X&-35T4&*13ZY\[]5/,35(C/19=35(69178-D=(39( F,1\213^T)_)1&12`-35+(2-9aI(35+*78(2b1,35;2*+&(2F,1C=35(/,A4&-)_2(9,&+()122,6.=*+78-2&() 35-A4()-691&(2*1U&(78=,*-4&+()-9KQ L ()2+/135178(2c,)-?351/d/1e21)2(3^12f+)-9T78635+a&-?g5h0ijY\k5D/1?1)13^Il;a-e9+78+*-/-D &(78=,12*-H=(3,)e&()#JK,)*(nmo/1 p 21)2(3^12Rq m = {m sD t D m r } /1H14)13^Il;-Hb(78(Ilu)1g512*(812Dv/1978+278(8*+178=(8/1G+/-k5Dw/12=914Il-/(2x-91-*(35+-7y1)*1-9(6#Jz1*(8/1&,635+3{,)&(91&&+.) | /1 } (6#JK1*+G(2Rq | = { sD t D ~ } QlL(78(fj-O2`1Ob-O2`1-9-4/(DZ9-Ob+=.*12+2M/1 1)13^Il;-b(78(Ilu)14-12<-42,78+/-1)d9-78-4R(35;-/19(2<&-2(2RQi,=()/35178(2<F,1&-/21)2(3 *+1)1,)y35-)Il(y/1>21)2+6+9+/-/ g5)(y)1&12`-35+-781)*1&+35&,9-3^k5DF,1>/+&b(2 35-)Il(2=,1/1)e213M/+a513^14)*12Dj-fF,1H9(2-9aIl(35+*78(2F,1H/12&35+6+3^178(22.9(e351F,+1351) 2-613?9(20(6#JK1*+G(20F,1&-/-21)2(3?&,6351Q>%2`+78+278(D\9- S 2*-&+.)-21*+1)19-2 &((35/1)-/-2/1M9(221)2(3512/1M9(2(6#JK1*+G(2Dy/l1M78(/(F,1M=,1/1M&(78=,*-3X&,T)*(2x &,T912(6#JK1*+G(20&,6351&-/-2`1)2(35DHn2,=()1478(2*-786+u)F,1&-/-(6#JK1*+G(12*T &,6+135*(y=(3E-9Z781)(2x,)y21)2(3Q S 9Z=35(69178->/19->L(6135*,35->/1>(6#JK1*+G(2&()2+2*1>1) =35(I35-78-3X9-M-&*+G+/-/O/1U9(2P21)2(3^12P*-912F,1U*a(/(2P9(2P(6#JK1*+G(2P12*u)&()*+),-781)*1 &,6+135*(28<21C78-@+78+&1H19P*+178=(B/1CG+/-C/1H9-H351/Q S 9P781&4-)+278(B/1H=35(I35-78-4&+.) /161&(78=91781)*a-3521U&()9-22+Il,+1)*12b+=.*12+2Rq (221)2(35121)G;-)2,29a(&-9+A4-&+()12-9- S 2*-4&+a.)-21Q • - S 2*-4&+.)-2`11KJK14&,*-19C-9Il(35+*78(/1=35(I35-78-&+.)/19(221)2(3^12Dy • *35-)278+*19-=9-)+5+&-4&+.)&,-)/(&4-/-)(/(12*TU-4&*+G(Q L-/-21)2(312P&-=-AU/1-,*(2+*,-35211)9(2+)*135G-9(2-&*+G(/,3578+1)*1Q • !#"$ ¡ ¢£¤¦¥#§R¥¨©^ª ¡ §« ¡ £ ¬¤¦£#§R£¬ ® 1KJK-78(25,1435-y/1912*,/+(<9(2191781)*(2*u&)+a&(2=-35-\9-y2+)&35()+A4-&+.)B/1y9(2 )(/(2D{9-\*35-)278+2+.)_15+a&+1)*1\/1C9(2/-*(2DE1*&Q S 9(6#JK1*+G(_/19=35(6917y-\12(6*1)13 ,)->&(914&&+.) ° = {° sxD t D ° ¯ } /1e±c²° £³^´ ³ £¬xµ ¶ «£ ¡ ¬`· (yL9,2*1352RQ¸L-/-&()#JK,)*( &,635+/(3 ° 12,)f2,6&()#JK,)*(f/121)2(3512/+2=()+6912g ° ⊆ k5DC/161&,635+3*(/(2 9(2(6#JK1*+G(2/1 | Q%/178T42D&-/-21)2(3{2(9(=,1/1=135*1)1&143X-,)L()#JK,)*(&,635+/(35D (1F,+G-91)*1781)*1D9(2&4()#JK,)*(2&,635+/(3512/1614)213/+2¹JK,)*(2D12*(12Rq ½ ¿ à ½ ¾ = ∅À ∀ ¼ À »  Á ≤ ¼ À » ≤º ÀÄÅÆ ¼ ≠ » Ç{È ÅÉ#ÊKËÌÍÎŦÏË ÈÐÑ ÅÉ È ËÒ8Ó<ËÔ\Ò8ÓÕÍÒ8Í×Ö4Ó Ñ Ë È ÄÓ Ñ ÏÍaÆÓ È Ù = Ø ÏË È Ó<ÄÅ È ËÄ4ÄÍÚƦÏË º ÄÛÉ Ñ ÍÏÅ Ñ ËÔÀËÔÌÅËÔÀÒ8ÓÕÍ×Ò8ÍÖ4Ó Ñ Ë È ÆÜÒ8Ë Ñ Å ÏËMÄÅÆ#ÊÝÛÆÌÅÔÄÛÉ Ñ ÍÏÅ Ñ ËÔ Ð Ë Ñ ÌËÆË4ÄÍËÆÌËÔÓ È Ó ÄÅ È ËÄÄÍÚÆ ½?Þ?ß ËÓÒ8ÅÔàÛË\ËÔÌËCËÔá\âã5ÏÛ Ñ ÅÀäjÓCàÛË\ÔË Ð ÛËÏËCå5Å Ñ Ò8Û È Ó Ñ ÄÅÒ8Å_ÛÆ_ÄÓÔÅ Ð Ó Ñ ÌÍÄÛ È Ó Ñ ÏË È ÔÍælÛÍËÆÌË ÐÑ ÅÉ È ËÒ8ÓÏËÏË4ÄÍÔÍÚÆ Â çXèéêëì4ífîïìë ð5ñ éòjóôòõ5é ñ ôêèöïéè÷5øéòjóôòõ5éøéòõ5ìòöìòïéî ñ ôêèö×ïéèìùúû Ç á\ü{ýþÿþ Â Å È ËÄÄÍÚÆ ½ ÏËÔÛÉÄÅÆ#ÊKÛÆÌÅÔÏËOÀËÆÌË Ñ Å Ð ÅÔÍÌÍÎÅ Þ Ç ü á  ÅÆÌÍËÆË ½ ÛÆÓ\ÄÅ È ËÄÄÍÚÆ_ÏË º ÅlÆ#ÊKÛÆÌÅÔÄÛÉ Ñ ÍÏÅ Ñ ËÔÏÍÔ¹ÊKÛlÆÌÅÔ º Ð Ó Ñ Ó Ç ÔÌÅOËÔÀÛÆÓMÄÅ È ËÄÄÍÚÆÏË ÄÅÆ#ÊKÛÆÌÅÔ ½ sÀ À ½ ÀÏÅÆÏË ½ ¿ ⊆ ½ ÀväÌÓ È àÛËÄÓÏÓË È ËÒ8ËÆÌÅÏË Ð Ë Ñ ÌËÆËÖ4ÄÓÓ È Ò8ËÆÅÔPÓÛÆË È ËÒ8ËÆÌÅÏËÄ4ÓÏÓ ½¿ Þ • • º Ë ÈfÐÑ ÅÉ È ËÒ8ÓÏË È ã ÅÆ#ÊKÛÆÌÅ ÛÉ Ñ ÍÏÅ Ñ ËÔá\âã ÅÒ ÐÈ ËÌÅÀK5ÆÚÌËÔËàÛËËÔÌË ÐÑ ÅÉ È ËÒ8ÓÏËÏËÄÍÔÍÚÆWËÔÏÍÔÌÍÆÌÅ Ó È ÐÑ ÅÉ È ËÒ8ÓeÏË È Ó º ã5ÄÅÉË Ñ ÌaÛ Ñ ÓeÏËÔÄ Ñ ÍÌÅËÆË È Ó ÐL ÌÛ È ÅNMÀ ËÆÏÅÆÏËeÔËeÍÆÏÓæÓ ÔÍÄÓÏÓ º ÅÉ#ÊKËÌÍÎÅCËÔÌPOÄÛÉÍË Ñ ÌÅ Ð Å Ñ Ó È Ò8ËÆÅÔ ÔËÆÔÅ Ñ ËÔUÏË È Ó Ñ ËÏ Q Þ âÅ Ñ ÌÓÆÌÅCÆÛËÔ`Ì Ñ Å ÐÑ ÅÉ È ËÒ8ÓÀ àÛË>ËÔ È Ó>ÎË Ñ ÔÍÚÆyÏË>Å Ð ÌÍaÒ8ÍÖ4ÓÄÍÚÆyÏË È ÓÆÌË Ñ ÍÅ Ñ À ËÔ{á\âã5ÏÛ Ñ Å Þ Ç ÔÌÅ\ËÔ Â ÆÅyËÕÍÔÌË>Ó È ælÅ Ñ ÍÌÒ8Å àÛË Ñ ËÔÛË È ÎÓÀUËÆÌÍËÒ Ð Å Ð Å È ÍÆÅÒ8ÍÓ È ÀÄÛÓ È àÛÍË Ñ ËzÊKËÒ ÐÈ Ó Ñ ÏË È>ÐÑ ÅÉ È ËÒ8Ó Ð Ó Ñ Ó?ÄÛÓ È àÛÍË Ñ ÌÓÒ8ÓSRÅÏËËÆÌ Ñ ÓÏÓÏË È Ò8ÍaÔÒ8Å Þ !"$#$%'&)(*,+-./"-(01&)/32546687:9<;$=?>A@CB8D%;$E";CFHG:IJ; Å Ô ÐÑ ÅÉ È ËÒ8ÓÔyá\âã5ÏÛ Ñ ÅÔBÔË Ð ÛËÏËÆ Ñ ËÔÅ È ÎË ÑCÐ Å ÑCÐÑ ÅÄËÏÍÒ8ÍËÆÌÅÔBËÕ1UÓÛÔÌÍÎÅÔ ÄÅÆÔÍÔÌËÆÌËÔnËÆ È Ó ËÆÛÒ8Ë Ñ ÓÄÍÚÆ ÄÅÒ ÐÈ ËÌÓ ÏË ÌÅÏÓÔ È ÓÔ Ð ÅÔÍÉ È ËÔnÔÅ È ÛÄÍÅÆËÔ Þ Ç ÔÌË ÐÑ ÅÄËÏÍÒ8ÍËÆÌÅ8ËÕ1UÓÛÔÌÍÎÅ8ÔÚ È Å8ËÔ Ð ÅÔÍÉ È ËËÆ ÐÑ ÅÉ È ËÒ8ÓÔÏË Ð ËàÛËSRÅ8ÌÓÒ8ÓSRÅVK5ÄÅÒ8Å8ËÆ8Ë È ËKÊKËÒ ÐÈ Å\ÏË È X Ó W ÍaælÛ Ñ X Ó Y Þ Á À ÄÅÆ [ = Z \^]S_\^`ab]S\dc f = e `g"hi]SjPkPlm`\^nboJp]Sab`q]S\rkPsVpabtuSjPkPuStSgv?] T !#"­ %&(')%&%+*-,.0/213%&(%.54+,687:9%;.,6<,=.>4,4>7&%6?9%+.5=*-7@.%AB,CED%&',AB76?%+&:4F%&D,HGF% D*-,@,0I0,AB7647&J*K%9%69%BF&<'*-,&<&LAM%*-7<9%6%&687*-%6ONPF&Q')*-,&J&LAB%*-7<9%7@#I0%D>R76, 4F@*->*/:S7*5D,&D7T,@7*-9),*-%AB76%.U=*-7@.%AB,?AB%+9>,&D%?=*-74%9>AB>%&D76V%F*-W6D>476GF% =*-79FX+4,&67.F4>7&%66F@Y=D>AB,647&*-,X+7&,@.%4+76D%47AB=FD,4>7&,.0/ Z & D%659%[9%64+*->@>*\.765V%+F*-W6D>476C]R%*-%AB7654YAB7<%.2=*-7@.%AB,[,&D%+*->7*\6%[=F%9% ^ 7*-ABF.,*_AM%9>,&D%`F&a=*-7@.%AB,b9%bS*-7')*K,AB,4+>Y&dce&D%*K,f/S,*K,g%..7a9% ^ >&>AB76h.,6 6>')F>%&D%6R,+*->,@.%6@>&,*K>,6ji o ml m = ! C 6 > %. 6%&67* n m %6Dk %& %. 47&#I0F&D7 l C=,*-, q = sur t r p rwv y "C %& 4,+67 47&D*-,+*->7 = s r }| m { | # ~| r - q = sur t r p r[v r } {| {|}~--| = = sur t r x z sr t r # ~|f r - q = sur t r p - }| ~{| B| B{¡| }} |}#0}~|{ -|-¢ ≤ = ¥ ª ¦ ¨© ¦ § ≥ £ « ¬­®-­ ° = £u« t « ¯ « ± ³ = £u« t « ² ´-µ ­¶­u·¸#¹0º»¼½·º¾»¿ÀÁ¸¼º®-»·¬·®­Â ¦ =¤ à ºÄ·¾ÁľºÄ¾·®ÅºÄÀ+­¶­ µ ·Ä#¹0ÁÄ»·ÀÁ¸®-¼¶·®-Æ Ì ÊË É È Ç }È Î Ê Í ∈{ É È Ç }ÈÏÐÑ-ÐÒÓÔÓ × È Ö È Õ Ø ∈{ !#"$ ÙÚ ×ÛÛÜÝÞßà Î#ájÎâã Õ Ü áä ÜÛßåàbß á ßå çeè ÒéJÒêÏÓëÔéQì-ÓÑ-íBîïÐðêÓñé è ÏéÑ-íBêÒéñëÓÒòÑ-ÓëÒÑ-ÐÒòÐ+íBêéñÒÓëóéîÑ-ô è ÒêðÓëÔéïEÏÑKÓõïéíBÐÈ ÐÏïêðÐñÔÓöÒ÷ðñêðÐ è ÔéëÑ-é+ïÐ0ø0ÐðêùñöÏÐÑ-ÐëÒÑ-Ðñ è ì-ÓÑ-íBÐ+ÑMïÐëÐñÒéÑ-êÓÑMì-ÓÑ-íBîïÐðêùñöéñöîñÐëÔé ú Ñ-Óû)ÑKÐíBÐðêùñ?ü2êñéÐï0Ø8ýPÓ è ÓÒÑ-Ó è ñÓPÐõÓÑ-ÔÐÑ-éíBÓ è é è ÒÐ è Ò÷ðñêðÐ è ÈÅþMñÓ è ðéñÒòÑ-ÐÑ-éíBÓ è éñPéï Ôê è éÿÓÔéóéîÑ-ô è ÒêðÓ è îéuÐÏÑ-ÓéðóéñïÐé è ÒÑ-îðÒîÑ-ÐuÔéï ÏÑ-ÓõïéíBÐfØ ð ÓñÒêñîÐðêùñ ÏÑ-ÓÏÓñÔÑ-éíBÓ è ÔÓ è Ðïû)ÓÑ-êÒíMÓ è éîÑ-ô è ÒêðÓ è ÏÐÑ-ÐÑKé è ÓïéÑ éì-êðêéñÒéíBéñÒòé_éïÏÑ-Óõïòé+íBÐ_ÐñÒéÑ-êÓÑ-íBéñÒòé_Ôé è ð+Ñ-êÒÓÈeé è ÒÓhé è ÈeÏÐ+Ñ-Ð_íBÐêíBê ÐÑéïñíBé+Ñ-Ó è ÔéÓñ#ø0îñÒÓ è ðîõÑ-êÔÓÑ-é Ó ïî è ÒéÑ è Ôê è ø0îñÒÓ è È Ô)ÓñÔéOðÐÔÐOîñÓ_ÔéOïÓ è ðÓñ#ø0îñÒÓ è ðîõÑ-é ðÓíBÏïéÒÐíBéñÒéaÒÓÔÓ è ïÓ è Óõ#ø0éÒê Ó è Ø íBõÓ è ÐïûÓÑ-êÒíBÓ è Òêéñéñ ðÓíBÓ ÏÐÑíBéÒÑ-Ó è Ôé éñÒÑ-ÐÔ Ð ðÓñ#ø0îñÒÓ_Ôé è éñ è ÓÑ-é è þ ðÓñ#ø0îñÒÓ_ÔéOÓõ#ø0éÒê Ó è ÈþÏÑ-ÓÔîðéñPðÓíBÓ è ÐïêÔ)Ð éï ðÐÑ-ÔêñÐï Ô é ðÓïéððêùñÔ é Óñ#ø0îñÒÓ è ðîõÑ-êÔÓÑKé è ÈMÐ è ô ðÓíBÓïòÐ5Ôé è ðÑ-êÏðêòùñÔé5ð+ÐÔÐ Óñ#ø0îñÒÓðîõÑ-êÔÓÑ Ê Ø çeè ÒÓé è ! È È } È ðÓñ#ø0îñÒÓÔé " è éñ è ÓÑ-é è# = {% &È È % $ } È ð Óñ#ø0îñÒÓÔé ' Ó õ#ø0éÒêÓ è ={ ! " ! &È È ( }# ÓïéððêòùñÔé)Óñ#ø0îñÒÓ è ð îõÑ-êÔÓÑ-é è Ô ê è ø0îñÒÓ è + è è - Ç = * # ñíBéÑ-ÓÔé)Óñ#ø0îñÒÓ ðîõÑ-êÔÓÑ-é Ê È = È È , = { Ç#Éæ .)/0123465783 013/ %9 /5:3;!<)3837>=?;52@A461/ -B 57 2ü Ó è ÔÓ è Ðïòû)ÓÑ-êÒíBÓ è ÒÑ-ÐõÐ ø0Ðñ è é+ûDñMîñÐOé è ÒÑ-ÐÒòé+û)êÐOðÓñ è ÒÑ-îðÒêÐÈ é è ÒÓ_é è È ÏÐ+ÑKÒéñMÔé îñÐ è ÓïîðêùñEÐðôÐÈ îé êÒéÑ-ÐÒêÐíBéñÒé è é6Ð ðÓñ è ÒÑ-îþ é+ñÔÓÅØ è ôÈ ïÐ ðÓñ è ÒÑ-îð+ðêùñBÔé ðÐÔÐ Óñ#ø0îñÒÓðîõÑ-êÔÓÑ Ê é è Ôé(ïÐ è êû)îêéñÒé(íBÐñéÑKÐ êñêðêÐïíBéñÒéÈ Ê = ∅ È[þaéñð+ÐÔÐ êÒéÑ-ÐðêùñÈ5éï Ðïòû)ÓÑ-êÒíBÓ è éïéððêÓñÐ 73GFIH; 9 ;J8A3 % 3K/4 - ;580 B / - % 3/ - 0 îñ è éñ è ÓÑM L ÏÐÑ-Ð êñðÓÑ-ÏÓÑ-ÐÑ-ïÓ[Ðï ðÓñ#ø0îñÒÓ Ê Ø eç è Ò Óé è 3;7#NO ê è Ï Óñêõïé è $ ý_Ó:P>QSR ú>N !T!UVQ ç & T UXW6Y % & ú Ñ-ÓðéÔêíBêéñÒÓ:!R ýP>QST!W6Z çSN Ê Ê ÈD[ 1]\3KN îõêéÑ-ÒÓ è^ =∅ % & ∅ [ 1]\3KN îõêéÑ-ÒÓ è Èé è ÒÓé è È Ê ñ ÓðîõÑ-Ð_ ≠ PéïéððêÓñÐ L ∈ 3;7#NO ê è ÏÓñêõïé è è +é ûDñ ! Ê Ê ` L ' = ðÒîÐïê +Ð 3;7#NO ê è Ï Óñêõïé è È[ 1]\3KN îõêéÑ-ÒÓ è % & éñÔ -ú -Ñ ÓðéÔêòíBêéñÒÓ:!RýP>QST!W6Z çSN Ê % & acbEdfehgji#bkgkdflmjbonfp#q>ehgjiVrsnkg]m tsbEuvdonfbfubEwp#qxkrvqvgkpynkrvzvimjup#i Ê e{d|z>bfe{bodkq}df~vi#pvndfe{pyuvd e{df~jdfnnfmj#qVe{dfl vqrvqudkg]dkiVm qsbfuvpGjjf{Duvdnbfuvbqvrsdktspe{dkq>e{p#i L r>dtsbbe{d]i m q>nfp#iV>p#ibfuvpEb6~jbe{pv~ rsnfmj#q>Aquvmjn]>pEw>i#m g]dki#mjpouvdd~jdnfnfmj#qdfehgji#m z>b~buvmjXdki#dkqsnfmb6dkqvgji#d6bk:zspve bf~jlp#i#m gjpve{ oe{dfl vq¡df¢#>~jmnbki#dkypve}uvdfehvr>£fe{om q¡dkz>bki#lpv )>bG¤df~jdkdkqvgkpve}nfp:rvq>dfe}dkq¡~jb V ¤¦df~§p#z#xfd]gkm tsp dfehgjiVr>n]gjrvi#b&ud&~jpveSbf~jlp#i#m gypve{ Dnfp#pe{p#qdf~Anki#m g]dki#mjp6uvd¥>bki#bfub& ' ( ) ! z>¨fe{mjnfp©uvd_vidfehgkbkidfeh>dfnmjb~&bkgkdkqsnfmj#qªb«~jpveEp#z#xfd]gkm tspve|¨feEdfe{nfbfe{b]dkqgkd«nkrz>mjdkiXg]pve{ ¬~j~jbkybfuvpve * + , ! - , Ç#ÉC ­ 9 - 223/460!®5¯5!°±]²³3G¯683)207>®0¯07 . # / * + , ! - , A qdf~nki#m g]dki#mjpud>bkibfuvbµXKgkp#v¶>w>i#m g]dki#m rV ·df~bf~jlp#i#m gjpEg]dkiVm q>bki¨z>mjdkqnkr>bkqsuvpEq>p r>dfuvdkq¸e{dkq>e{p#i#dfeumjeh>p#q>m z>~jdfe 3;7#NO ê è ÏÓñêõïé è ^ ÈHõêéñ ðîÐñÔÓ ïÓ èwè éñ è ÓÑ-é è ∅ Ôê è ÏÓñêõïé è ñ ÓðîõÑ-ÐñÒÓÔÓ è ïÓ è Óõ#ø0éÒêÓ è ÈOÓõ)êéñðîÐñÔÓéïBñíBéÑ-ÓÔéÓñ#ø0îñÒÓ è ðîõÑ-êÔÓÑ-é è óÐ þ ÐHÐïðÐñ +Ð+ÔÓ:îñ:íEêíBÓ:ÒéùÑ-êðÓ + ^ Y Ð N QeéÓÑØ çeè Òé;íEêíBÓ:ÒéùÑ-êðÓ è ïÓ è Óõ#ø0éÒêÓ è íE è é è ð+Ð è ÐíBéñÒéðîõêéÑ-ÒÓ è È êéñéÔéÒòéÑ-íBêñÐÔÓPÏÓÑ\ïÓ è Óõ#ø0éÒê Ó è ðÑ-ôÒêðÓ | þOÏîéÔéð+ÐïðîïÐÑ è ééñé¹ï U ý ú W6QhÔéï ÏÑ-ÓõïéíBÐÈfþ Ð îé Y©êíBÓ:Qeéù)Ñ-êðÓ ^ ýíBé+Ñ-ÓÔé è éñ è ÓÑKé è ðîõÑ-êéñÔÓîñ:Rõ#ø éÒêÓðÑ-ôÒêðÓ ¥~¹djxfd]:>~jp r>de{mjlr>d|dfe>mjehp rsd|df~sudf~¹bk>bkiXgkbfup&º»uvd~be{dnfnmj#q«¼v¾½vAAq£f~j ÀÁ ¿ ¤ Á  e{p#qbk:z>pveÃSz#xfdkgkm tspvenki#Ä gkmnfpve{ Ť¹b r>d©e{p#q~jpvep?z#xfdkg]m tspve:¨fedfe{nfbfe{bkydkqvg]d©nkrvz>mdkiVgkpveG bk:z>pveÅnfp#qqsm tsdf~uvd)nfp#zsdkiVgrvi#b)ÆVnkrvz>mdkiVgkpves>p#i³Æe{dkqse{p#i#dfe{V¥~Ǩf¢vm pÈIdf#i#mnpdfe{ >p#iIgkbkqvg]p uvd~jbe{pv~ r>nfmj#qÉuvdf~>vi#p#z>~dkybf Sdfehgkpdfe{ Suvd~ÉÊ6ËvÌ)f{Ív Æv ¹¤nfp#q>ehgkm gjrD¤¹d6rvq>b vξÏAÐvÎvj#Ñ)ÒÐvÓv{jÍvv{kÑ)Ív Ñ ÏÐvÎvj#Ñ)ÔvÐv¥ÑKAÕÐfÍvfÎÒfvÎ#ÑK{ÐvjÖ Á¿ Ý ¿ Ç Ý Û Ú Ç Ý Â ß à ÁÛ Ç %Ú Ç ÁÂ Ç ÃSz#xfdkg]m tspveSw>i#Ä gkmjnfpveG×Á ¿ ¤ Á  Ǩf¢#¶>ÈIdfp#iØEƪ¾Ùom tsd~Auvd!np#z>dkiXgjrvi#b ud!~pveÃSz#xfdkgkm tspveSnki#Ä g]mjnfpveSV %ß Ç Ç Ç Ç Ç Ç Ç Ç wp#gkb!ehrvsdki#mjp#iudf~nfbkiuvm q>bf~Aud!~b!e{pv~ rsnfmj#qØEÆ VǨf¢vm pÙ) vd]i#p6uvd}wp#q#xkrvqvgkpveSw>rvzvimjuvp#i#dfe uvmje xkrvqgkpve{ Ç Ç Ç Ç Ç Ç Ç pv~ r>nfmjq>× ¿ vnfp#q>× = { È Û È Ú } Þ ¿ Ý ¿ ÜÖÝ Â È Û Ú È ß È Ú Û È à ={ } ={ } ={ } á mjnk>pǨf¢m p6È¥d#i#mjnfp6dfervq>b!jâãvÐVÕÅf{jv·Ívä§Òfâ{ÍvjÎvâvä§ÍvÉäjâÑKväjÐvÒjåvÎD ?¤¹b r>dæqsp ) e{mjdk:vid!e{d¥vr>duvd³bf~jnbkq>çbki vnfp#p6e{d¥r>dfud!nfp:vi#p#zsbkinfp#q6rvq¦djxdk:s~jp:rv¤Ee{dkq>nfmj~~jpv× Ç#É´ .)/0123465783 013/ %9 /5:3;!<)3837>=?;52@A461/ -B 57 fxfd]:>~jpnfp#qÆ6dkq>e{p#idfe¹¤Eé6ÃSz#xfdkg]m tspve × Á¿ Ý ¿ Ç Ý Û Ú Ç ÁÛ %Ú Ç Ç Ç Ç ìpve{m z>~jdfeSe{pv~ r>nmjp#q>dfe{× ¿ ¿ = { Û È Ú } Ç ÃSz#xfdkg]m tspveSnki#Ä gkmnfpve{× % ¿ È % Ú ¤ Á  vuvd¥q>m tsdf~Auvd³nfp#zsdkiVgjrvib!½ Ǩf¢vm pÈ¥dfi#mjnfp6Øo½ªXwp#gkb!Krv>dkimjp#iud!~jb!e{p~ r>nm#q> Ç × Þ ¿ w>r>bf~ rsmjdki>>pve{m z>~jd!e{p~ r>nmj#q6gkmdkq>d:êe{~jp6w>rvzvi#muvp#ië ÁÂ Ç ! ' ¿ È Û È Ú v z>mdkq>× Þ ¿ } ={ ( , Ý ¿ ÜÖÝ Û v z>mjdkqs× ¿ } ={ ¿ È Ú v z>mjdkq } ={ w p#poe{dvrsdfuvdnfp#vi#p#z>b]i# y~jb6e{p~ r>nfm#qoq>p_dfeI vq>mjnb bkrvq r>de{Ä>ehrnbki#uvm qsbf~j§¥ehgkpodfeG ud ¿ ~jb»e{pv~ rsnfmj#q¸#vgkm bªvr>duvd»nfp#q>eGdflr>m i#e{d»nfp#q¸uvmjehg]m qvgkbfeínfpv~dfnnfmjp#qsdfe = { È È ( } wp#q#xkrvqvgkpveSn]rvzvi#mjuvp#idfe{ >dkipgkpvuvbfeg]mjdkqsdkqd~fmjep6nb]i#uvm q>bf~ î Þ #tsdki#mjXmjnfbkq>uvp× = î = Þ ≤ ï©ðñAòóSôõö º nfp#qvgkm qr>bfnmj#qªsbfe{bkpve«buvdfeGnki#m z>m iø~jpve«bf~jlp#i#m gjypve{ r>dnfppø¤¹b>dkpve«uvmjnksp ÷ nfp#q>ehgjiVrv¤¹dkq~jpve³wp#q#xkrvqvgkpve³nkrvzvi#mjuvp#idfeIi#dfnkri#e{m tsbkdkqgkdwp#q>nki#d]gkbkydkqvg]dq>pve³nfdkqgjibki#dkypve³dkqd~ vi#pvnfdfe{pyudonfp#q>ehgiVr>nnfmj#q©uvdo~jpvew>rvzvimjuvp#i#dfe Ê «z>bfe{buvpydkq}d~Sw>im gkdkimjpyudodf~dfnnfmj#q}udo~jpe e{dkq>e{p#i#dfe r>dm gkdkibkg]m tsbkd]qvgkd«e{d_tsbkqªm q>nfp#iV>p#ibkq>uvpøb Ê cºù>dfe{bkiµuvd r>dnfbfub«bf~jlp#i#m gyp bk>~jmnfb·rvqw>i#m gkdkimjp:uvd|df~dnfnfmj#qumjehgkm qgkpv Abk:z>pve>gjibkzsbjxfbkqe{p#zvi#d·rvqsb·z>bfe{d|nfp: q> r>d|dkqnfbfub m gkdkibfnmj#qµuvbævidfXdki#dkq>nmjb&b!~jpve·e{dkq>e{p#i#dfe r>d&nkrvzvibkqµ~jpe·p#z#xfdkgkm tspve¹>dkq>uvmjd]qvgkdfe¹y¨e·dfe{nfbfe{bkydkqvg]d nkrvz>mjd]iVgkpve{ vdfehgkpdfe{ vb³~jpveæâvÒjÐvâväjkÑ|p#zxfdkg]m tspveSnki#Ä gkmnfpve{ ú Wñ_Ðïû)ÓÑ-êÒíBÓûÑ-éé+Ôfþ ÓÑ-Ð é è îñ_Ðïòû)ÓÑ-êÒíBÓ îéÈ éñ_ð+ÐÔÐOêÒéÑKÐðêùñÈ é0ø éð+îÒÐOïÓ è íBÓêíBêéñÒÓ è& îé 465ü§0/&463\0/5 ÏÑ-ÓÔîðéñ éñMì-îñðêùñMÔéï]Óõ#ø0éÒêÓ îé è é ÏéÑ è êûÐ È é è ÒÓ é è ÈHïÓ è íBÓêíBêéñÒÓ è îé íBÐêíBêj +Ðñ îñÐ ÔéÒéÑ-íBêñÐÔÐ ì-îñðêùñ Ôé õéñéì-êðêÓÅØPü2Ð è Ç#Éè ­ 9 - 223/460!®5¯5!°±]²³3G¯683)207>®0¯07 é è Ò Ñ-ÐÒé+û)êÐ è óéîÑ-ô è ÒêðÐ è ûÑKééÔfþ è ÓñPÐíBÏïêÐíBéñÒéî è ÐÔÐ è ÏÓÑ è î è éñðêïïé +È ì-ïéêõêïêÔÐÔ?þ Ñ-Óõî è Òé +È þ è Óñ;îÒêïê +ÐÔÐ è õêéñ;éñ è ÓïêÒÐÑ-êÓÈ õêéñHéñ;ðÓíBõêñÐðêùñ;ðÓñ;ÓÒòÑ-Ð è é è ÒÑ-ÐÒé+û)êÐ è óéîÑ-ô è ÒêðÐ è È îéÒÑKÐõÐ0ø0Ðñ è ÓõÑ-éïÐ èè ÓïîðêÓñé è êñêðêòÐïé è ÓõÒéñêÔÐ è íBéÔêÐñÒéuÔêðóÐÒ÷ðñêð+ÐfØ ç ñ ñîé è ÒÑ-Ó ðÐ è Ó È<ÐÏïêðÐ+Ñ-éíBÓ è îñÐwé è ÒÑKÐÒé+û)êÐû Ñ-ééÔfþ ÏÐÑ-Ð éïQÏÑ-Óð+éÔêíBêéñÒÓ !RýP>QST!W6Z çSN Ê È îé ðÓñ è ÒÑ-îþ é êÒéÑKÐÒêÐíBéñÒéðÐÔÐ Óñ#ø0îñÒÓ ðîõ)Ñ-êÔÓÑ Ê è éïéððêÓñÐñÔÓÈ ÔéPéñÒÑKé?ïÓ è[è éñ è ÓÑ-é è ÐðÒî è ÐïíBéñÒòéPÔê è ÏÓñêõïé è_ îéPðîõÑ-Ð+ñ;ïÓ è ÐðÒîÐïé è Óõ#ø0éÒê Ó è ðÑ-ôÒêðÓ è ÈÐ î÷ï è éñ è ÓÑ îéöíBÐ+þ ÓÑ B 0; % / - 1 9 B- ±; Ñ-éÐïêðéöÐöïÐöðÓõéÑ-ÒîÑKÐöÔé Óõ#ø0éÒê Ó è y Ø ý³ è êðÐíBéñÒéÈbéï:ÏÑ-ÓðéÔêíBêéñÒÓ ³R ý P>QST!W6Z Sç N Ê ÓÏéÑ-Ð ð+ÓíBÓ è êû)îé êñêðêÐïíBéñÒéuÒéñéíBÓ è Ê = ∅ Èé+ï ðÓñ#ø0îñÒÓ[Ôé è éñ è ÓÑKé è Ôê è ÏÓñêõïé è ÿþ 3;7#NO ê è ÏÓñêõïé è ðÓñhïÓ èè éñ è ÓÑ-é : è îé_ñÓ è é_óÐñhîÒêïê +ÐÔÓhéñhïÓ è ðîõÑ-êÔÓÑ-é è ÏÑKéêÓ è ¿ È È Ê ¿ ÈaþQéï − þ ] 1 \ K 3 N è è è ðÓñ#ø0îñÒÓ [ îõêéÑKÒÓ ðÓñ ïÓ Óõ#ø0éÒêÓ îé ðîõÑ-é Ê êñêðêÐïíBéñÒéÈ è ^ ∅ Ø è êíBê è íBÓÈ þ 6[ 1]\3KN îõ)êéÑ-ÒÓ è ðÓñÒêéñéJïÓ è Óõ#ø0éÒêÓ è ñÓ [ 1]\3KN îõêéÑ-ÒÓ ¦ ðîõêéÑ-ÒÓ è ÏÓÑ Ê Ø ç ñ[ðÐÔÐuêÒéÑ-Ð+ðêùñ[Ôéï ÏÑ-ÓðéÔêíBêéñÒÓ_!RýP>QST!W6Z çSN Ê ÐÏïêðÐíBÓ è îñÐué è ÒÑ-ÐÒé+û)êÐ ûÑ-ééÔfþ?ÏÐ+Ñ-Ð è éïéð+ðêÓñÐÑEéï è éñ è ÓÑ L ÔéBíBÐ+þ ÓÑðÓñÒòÑ-êõîðêùñ îéBðîõÑ-ÐBÐïòûDñQÓõ#ø0éÒê)Ó é è ðÐ è ÐíMéñÒéðîõêé+Ñ-ÒÓÅØ çeè ÒÓé è è % Ê Ê ⊆ 6[ 1]\3KN îõêéÑ-ÒÓ è È\é è ÒÓëé è È\ðÐïðîïÐíBÓ è ïÐJðÓïéððêùñëÔé • ÐïðîïÐíBÓ 5 B %9 5237 Óõ#ø0éÒêÓ è ðÑ-ôÒêðÓ è -è éïéð+ðêÓñÐÔÓ è éñÒÑKé ïÓ è Óõ#ø0éÒêÓ è ÒÓÔÐôÐ ñÓ ðîõêéÑ-ÒÓ è ÏÓÑ Ê Ø • • ÓíBÏîÒÐíBÓ è h Ê 3;7#NO ê è Ï Óñêõïé è ÈÒÐï îé þ Ê ðÓñÒêé+ñéuÐuÒÓÔÓ è h Ð îéïïÓ è(è éñ è ÓÑ-é è Ôê è ÏÓñêõïé è ðîõÑ-êéñÔÓ ÐïòûD ñ Óõ#ø0éÒê Ó ðÑ-ôÒêðÓ Ôéï<ðÓñ#ø0îñÒÓ þ % ÊÊ Ø ⊆ PéïéððêÓñÐíBÓ è Ð î÷ï è éñ è ÓÑ L ∈ h Ê þ L Ø îé íBÐêíBêðé îñÐ ÔéÒé+Ñ-íBêñÐÔÐ è é è ÒÓ?é è È]ðîÐñÔÓ [ 1]\K3KN îõêéÑKÒÓ è^ îÐñÔÓ é è Ò÷ñ?ðîõêéÑ-ÒÓ è ÒÓÔÓ è ï Ó è Óõ#ø0éÒêÓ ÈéïBñîé ÓðîõÑ-êÔÓÑ Ê é è ÒÐÑðÓñ è ÒÑ-îô ÔÓÅØ ÇÇ#É $" #&%(')*+,-*/.012*345, 6$)+,-*87:9;#<>=@?BADCFED=HGJI KI;ELANM#@OP#CQ=R9;=RSHSHI;AK#@ON#HTPUVR9CQ=@K>CQAPO TPU=WRS@UDXDOP#Y=H9R?B#@Z8APOKD[D?B=@OPAED=APXP\R=@](I ^>ADC_KAS@UDXI;=@OJ](ADCQWH`aCb]@A=HCQcDEL=HGJI KI;=@KEDALd j fhi g e kmlon [D?B=@OPAEL=APXP\R=@]@I ^>ADCFTPU=S@UDXDO= i g ZpTPU=]@ADED#@^>q;#KAr=HCb]@s@KtS@UDXIu=@Ov]@ADC_MAPOxzw y { cD=HTPUI ^>#H9;=@KL]@=(?B=@KL]@=Hd j fhi g e kp| #@OPEDI K#R9ED= R }~(; i g ({ } { − ( } ~(; }) IH<#@Zr^>#@OPI;ADCFCQ=@KCQAPOP=HCFSHAPKt=H9H?I;Cb?BA^>#H9;APOEL=9u#UDKSHI;PKED= | APKL];OPI XDU>SHI;PK j fhi g e cDCQ= =H9;I;L=UDKArS@U#H9uTPUI;=(OP#EL==H9u9uADCFI KEDI;Cb]@I KL]@#(?B=@KD](=HcPMAPON=;\R=(?M9;A=R9HMDOPI ?B=@OAD` K#^>=HYCQ=H9;=HSHSRI;APK#HEDAr=H9C=@KCQAPO i g cDCQ=#@>#HED=Y#H9S@UDXDOPI;EDAO w ZpCQ=#HS@];U#R9;I;R#@K9;ADCFSHAPKP\(UDKD]@ADC Hi 7 ( ~¢ 7£ ¤ b¥¦~:§¢¢¨p¤ª© ¡ i « i − i g ( ¡ ~¢ « ( ¡ ~¢ 8¬®­ R }~¢ i°g ¯ aK9;#CI;UI;=@KD]@=±MsHLI K#CQ=YED=HCQS@OPI X>==R9HMCQ=@UEDALSHDEDI;LAED=H9#R9;LAPOPI ];?BAD` ² @# OP# =@^>#H9 U#@O³CbU SHA?M9;=u\HI;EL#HEDc APXCQ=@Ov^>#@?BADC´TPU= µH¶D·D¶ ¸;¹;ºH»Q¶DµH¸u¼D½ ED= % ¾¿ÀFÁÂÃÄ w 7 Å}~¤Åƨp Ì ÈÊ Ë É Ç ÍÏÎDÐÒÑÓÔÅÔÕÆÖÐ×ÐÅØÙÔÚ(ÐÖØÛÕÜ×ÔÝ ¡ Þ Ú¢ßÖÔ×ØàpØÔÕÙßÍNÝÐBÖßà Þ ÝÔáØ×Ð×Å×ÔßâÙÔÕÔÚrÝbÐÖßÝbÔÖÖØÛÕÅ×ÔßâRáÔÙØãßäÖåÚ¢æÙØÖßä È Ë ÔÕÒÔÝ Þ ÔßÚFÖÐäß Ç ÎçÔÝäÓâäØbè¦ÓØÔåÕÙÔéÖßÕRáÓÕÙßp×ÔäÔÕäßÚ¢Ôäëò êuìbíbî w îbìbï ðbñ ÔäÔÕpÙßÙÐÝ Ì ÈÊ Ë É Ç óåôßÚFßÙÚ¢Ð Þ ÐÚ¢ÙÔͱÔÕõÔÝ Þ ÔßÚYÖåÐäßͱöÐåÎ Ì È@É Ç äÔÕäßÚ¢ÔäÖÐÕ×Ø×ÐÙßäÍÎ Þ ÐÚ¢ÐpÖÐ×ÐäÔÕäßÚÖÐÕ×Øb×ÐÙßͱÝÐ ÔãÐÝÓÐÖØÛÕp×ÔÝÐ÷¢ÓÕÖØÛÕp×ÔøßÕÙÚ¢ØâÓÖØÛÕpÚ¢ÔÑÓØÔÚ¢Ô Ì È Ë Ç óúùÓÔåè¦ßpÝÐÖßà Þ ÝÔáØ×Ð×p×ÔÖÐ×Ð øÓâÚ¢Ø×ßÚ ûü w Ôä×Ô Ì È Ë É ý Ç Í Þ ßÚrÙ;ÐÕÙßÅÝÐÖßà Þ ÝÔáØ×Ð×Å×ÔÝYÐÝè¦ßÚ¢ØÙàpßÅÔä Ì È þ Ë É ý Ç Í ×ßÕ×Ô þ ÔäÔÝ_ÕÿàpÔåÚ¢ß÷¢ØÕÐÝ_×ÔÖßÕRáÓÕÙßäøÓâÚ¢Ø×ßÚ(Ôä È Ú¢ÔåÖßÚ¢×ÔàpßäÑÓÔ ≤ Ð FÔßÚ Ç ó !!! !"#" & &!9: ')(+*-,/.103254768. Fn ² HG I L=T a = 99CED 03;=<4>25?/.A@B0 Í Í I í } L ½ CQ=@KCQAPOP=HC3Mvc #@];OI;±XI K#@OI;# (Y W X ) U cDSHAPK ] [ \ V× I = { JK P Í Í O N } LSR PA XP\H=@](I ^>ADC3M CQIZpCQD9;ACQI ^ [ S@DU XDOP= _ \ M O = { JQK Z = ` ^bcdfeghijklhmnoi p ^ ^bcdfeghijklhmnoi8qrms5tuqkvwjnoxtvwolxoHy{z | s5kqo}hvwholxk~# e a a = + [ {be~rmhos5xki [ =∅ be~rmhos5xki p ∅ oixkoi lkqrms5t+{z [ ≠ {¡£¢¤¥¦e~rmhos5xki ~tnqrntonqklrlxk [ [ ⊆ ©«ª¨¬>­«®¯>­° ¬Q±>²Q³>ª¨° ¯³>´ ²µ¬>¶«®²>° · ¸¨¬>µ¹ª¨º¼» ° · ª¨¬>µ z p¨§ [ [ § ~kvwjrxt   p¨§ ½¾¿ [ ¿½ ÀÁ #onoqqhklÈt Â Ì p  ¦ÃÄfeghijklhmnoi ½¾¿ [ ¿½ ÀÁ ⊆ É Å µ¨²>­>µ¨¬>º-²>µªf¯>¶>º-· ²>­±>¬!³>´ Æ>Ç>­Q¬>¶«®²° · ¸¨¬!±² z [ [ § z Â É ∈ ½¾¿ [ ¿½ ÀÁ = vHtÍ Ì { p Â Ë xtnÊro z Å Â Â Ë ∈ ½¾¿ [ ¿½ ÀÁ }  [ = [ ¬ É ÎqxrtnhÏt  ¦ ÃÄfeghijklhmnoiТ¤¥¦e~rmhos5xkiz¨Å p ¦ÃÄfeghijklhmnoi¦ÃÄfeghijklhmnoi  − É ¢¤¥¦e~rmhos5xki Â Õ ¬ Ò moxhÔkiqrmhos5xkijks Ö Ñ ¢¤¥¦e~rmhos5xki Ó É ol} Ø Ù p | s5kqo}hvwholxk~# e ×z [ p lÚvwos5k}o)~klrlxki~rms5h}ks5oiz5ÈÛÐnt!qknoqqhÜl}o!~rms5h}ksoiÅ J ý K [ Ý $$% Þ!ßà ¤á¦âãÄä¦H à ¤¦ ß å ß ã¦Ãæ!¦ä¦Ä#ç¨ÃãáèÈâ¤ ß ÙéãÄ ë=H#@?BADCFSRP?BA]uOP#@X>#;\H#Y=H9#H9uLAPOPI ];?BAUD]@Iu9;I;R#@KEDAr=H9=;\H=(? • ú ìEíîÈïð=ñ¼òÈóóô õî÷öø ÿ  ÿ ù ú ù ={ ù • ÿ  ú [ l c z [[ À = { ù  c c c y } ÿ Ì Â p z [ } a9uI;L= }  ½¾¿ [ ¿½ ÀÁ = { ý  ý [[ À = { ÿ û  }    û ü ½¾¿ [ ¿½ ÀÁ = { þ Ì } p  [ l c z a±9;I;L= ² •  p a9uI;L= ý û  «Â ÿ ={ þ ý } ÿ ü ù      þ û ü ý ½¾¿ [ ¿½ ÀÁ = { ÿ Ì ý  þ û  ÿ þ c Dc y } ù  ìEíîÈïð=ñ¼òÈóóô õî÷öø [[ À = { ý l cDc z [ } ü  p a±9;I;L= }      þ ü ý ½¾¿ [ ¿½ ÀÁ = { ù ÿ Ì Â Â ý û û  [[ À = { ù û ý þ ù þ ù M9;A #@KL]@=@OPIuAPOPd  c y } þ G { d n ACQ=MDU=HED=GJAPOv?#@OUDK](=@OPSR=@O | UDXDOPIuEDAPOPcPZ8#TU= 9;ADCFCQ=@KCQAPOP=HCFELI;CbMAPKI X9u=RCFTPU= TPU=HED#@K L  û «Â ü MDKAS@UDXDO=@K]@ALEDADCF9;ADCFAPXP\H=(]@I ^>ADC L ED=<=RS@<ADcPK>AS@UDXDOP=@K ù Mv` í òÈóô õîô îöø >íñ¼ô ðí d ú ù ={ ù ÿ }c ê  «Â ÿ ={ þ ý } å Ùáá¦ ß â à ã"!ã #%$'&¦(!ä¦!á à Ä à ! à Ä ë=@?BADCFTPU=9u#SHA]@#CbUDM=(OPI;AOKACQ=#H9uSH#@KR#HcPZ8#TPU=9;# =+*P<#@UCb](I ^>ADcD=HCFED= | UDXDOPIuELAPOP=HCQd ú ù ={ ù û } AD9 USHI;PKPML]@I ?B#APXD](=@KI;EL#±MAPO=H9H?V@]@ADELA  «Â ÿ ={ þ ý }  «Â þ ={ ÿ ü } , | AP?BA 8Z #=+*PM9;I;SR#@?BADC#@KL]@=RCQc=HCb]@=CQ=HUDKEDA#H9;LAPOPI ];?BAtCQ=EDI;GJ=@OP=@KSHI;#EL=H9#@KL]@=@OI;APOr=@KÅ=H9 MDOPADSH=HELI ?BIu=@KD]@A % ~# e .[ -+}o+qklixs5rÈqqhÜÈl }o+nki1~rms5h}ks5oi/Û áã äÙ Ì ¦ ß ¦ÃéÙã Ì Â z ?B=HELI;#@KD](=p9;#pS@U#H9 CQ=p=H9;I;L=p#p9;ADC CQ=@KCQAPO=HC TPU>= ¦Ä ß Ù¤ãB¦ÃBáã Ì å ÃéÙ/$ÃBä¦Â¦á¦ééÙ/$à p É OP=HS@UDOPCQI ^>#@?=@KD](=CQ=^>#@KI KSRAPOvMAPOP#@KEDAr#9;#YSHAPKCb];OvU>SHSRI;KED= [ `10sHCQI;SH#(?B=@KL]@=HcPMDOPAMAK=@?BADC_UDK 24365176891:;7<3+8=6> ED=YEDI;S@<># G UDKSHI;PKEL= =H9u=HSRSHI;PKcL#H9APX\R=@]@AED=±MAP](=@KSHIu#@O9u#HCFCQI;UI;=(KD]@=HC_M#@UL]@#HCF=@K 9;#CQ=H9u=HSRSHI;PKEL=H9CQ=(KCQAPOPd • • ² • | UDXDOPI OAPXP\R=@](I ^>ADCF=HCQSH#HCQ#@?=(KD]@=S@ULXI;=@OJ]@ADC APXP\R=@](I ^>ADCFS@OPq ]@IuSHADC3Mv` L | UDXDOPI OUDK=R9;=@^>#HEDAKD[L?B=@OPArED=APXP\R=@]@I ^>ADC_KAS@UDXIu=@Ov]@ADCQ` n AS@UDXDOPI OAPX\H=@](I ^>ADC_OP=HEPUDK>ED#@KD]@=(?B=@KL]@=H` #@OP#/9;ADOP#@Op9;# MDOPI ?B=@O# M#(UD]@#/CQ= ?B#@KD](=@KEPOs/=H9 SRsH9uS(U9;AmED=H9 SHAPK\@UDKD]@AmEL=/APXP\H=(](I ^>ADCS@OPq ]@I;SHADCQd c$SHAP?BA/=@KÒ=H9#H9;LAPOPI ]u?BA/#@KD](=@OPI;APOPc$=HC]@A/=HCQd =(K [ [ cZ ED=ç9;ADCrCQ=@KCQAPOP=HC:SH#@KEDI;EL#@]@ADCQd  ?<@BA ½¾¿ [ ¿½ ÀÁ SH#HED#õI ](=@OP#RSHI;PK EL=H9FMDOPALSH=HELI ?BIu=@KD]@ADc [ [ ?<@BA =HCt9;# qknoqqhÜlÓ}o ãé å ãá¦Ä kmoxhÔki qsDCxhqki p H= 9_SHAPKP\@UDKL]@AéCQ=@K>CQAPOP=HC M#(OP#r9;ADOP#@O 9;#HC AP];O#HC EDADC$?B=@](#HC CQ=NMDOPAPMAPK= ionoqqhklt}kiolxso1nkikmoxhÔkixk}tÔECt1lkHqrmhos5xkiz57Û Â ½¾¿ [ ¿½ ÀÁ @S UDXDOPIu=@KEDAç#H9;UDKAçED=rEDIuS@<>ADC APXP\H=@]@I ^>ADC S@OPq ](I;SHADCQ`F UDK#KDU=@^>#G UDKSHI;PKEL=CQ=H9u=RSHSHI;PKtTPU=Hd ½DµHºH½L¹;6¸ HRº9;# SHAPX>=@Ov];UDO#EL= APXP\H=@](I ^>ADCFKAS@UDX>I;=@OJ]@ADCI K>S(OP=@?B=(KD]@#@K>EDA=R9^>#H9;APOrED= Ì p Â É z • G MAPOSH#HEL#APXP\R=@](I ^>AKAS@UDXI;=(Ov]@ATPU= Â É S@UDXDOP#H` ºH½D1¶ Ju¸;µRº:9u# SHAPX=@OJ];UDOP# OP=HEUDKED#@KD](=ED= APXP\R=@]@I ^>ADCNEDI;Cb?I KDUDZ8=@KEDA =H9å^>#H9;APOYED= Ì p Â É z MAPO • I SH#HED#YAPXP\H=(]@I ^>AZ8#S@UDXI;=@Ov]@ArTPU= Â É S@UDXDOP#H` "$# UDKSHI;PKED= =H9;=RSHSRI;PKC=SHAP? MDUD]@#±M#@O#SR#HED#UDKArED=9;ADCFCQ=@KCQAPOP=HC SH#@KELI;ED#@](ADCFED=H9SRAPKP\@UDKL]@A  c Z SHAP?BA =@K =H9Y?BV@]@ALEDAÜ#@KD]@=@OI;APOPc=R9#R9;LAPOPI ];?BA CQ=H9u=HSHSRI;APK# =H9CQ=@KCQAPO Â É TPU= ½¾¿ [ ¿½ ÀÁ ?B+# *DI ?BIuSH=:EDI;S@<>#rUDKSHI;PKED= =H9u=HSRSHI;PKL ` K SHAPKL]@I KDU>#HSHI;PK<#RSH=(?BADC$UDK>#rED=HCS@OPI MSHI;PKBED=@](#H9u9;#HEL# ED=9;#±?BI;Cb?#H` ") Þ!ßà ¤á¦âãÄä¦H à ¤¦ ß å ß ã¦Ãæ!¦ä¦Ä#ç¨ÃãáèÈâ¤ ß ÙéãÄ N ø>ïóñ¼ôPOóô õî÷öøPQòÈîÈóô õî÷öø ø ø>óóô õî | PA KCQI;EDV@OP=HC=ç=H9 SHAPK\@UDKD]@A/EL=çCQ=@KCQAPOP=HC:SH#@KEDI;EL#@]@ADCQd %  ½¾¿ [ ¿½ ÀÁ WçAPXD]@=@KIuEDA/=@K/UDK#çI ](=@OP#RSHI;PKÅED=H9 MDOPADSH=HELI ?BIu=@KD]@ArED=YSHAPKCb];OvUSRSHI;PKEL=H9 | UDXDOI;EDAPO [ `  F KI;SHI;#H9uI;R#@?BADC 9;# UDKSHI;PK ED= =H9;=RSHSHI;PK>cm#HCQI;K#@KEDA# SH#HED# CQ=@KCQAPO  =H9 É ∈ ½¾¿ [ ¿½ ÀÁ • ^>#H9;APO Ì p Â É z = ` `   K SHAPKD]@I KDU>#HSRI;PKcªM#@O#tSR#HEL# =H9 #H9;LAPOPI ];?BA += *D#(?BI K>#tSH#HEL#rUDKAõEL=t9;ADC É ∈ ½¾¿ [ ¿½ ÀÁ • APXP\H=@](I ^>ADCçS@UDXI;=@Ov]@ADC MAPO Â É cZmMAPOtSH#HED#APXP\H=@](I ^>A =H9Y#H9;LAPOPI ];?BAt^># ?BADEDI;GJI;SH#@KEDAm=H9 ^>#H9;APOED= Ì p Â É z CbUD?B#@KEDAZ R@AOP=HCb]@#@KEDAED=(]@=@OJ?BI K#RED#HCFSR#@KD]@IuED#RED=HC TPU=S@U>#@KD](I;GJI;SH#@Kt=H9 %RI ?M#HS(]@ADWTPU= M>#@OP# 9u# SHAX=@Ov];UDO# ED=H9$CQI;Cb](=@?# CbUDMAPK= TPU= EDIuS@<ApCQ=@KCQAPO:CQ= S@UDXLOP# MAO =H9SR#@KEDI;EL#@]@A Â É ` sHCtSHAPKS@O=@]@#(?B=@KL]@=HcYCbUDMAKL#@?BADCtTPU= T  =+*D#@?I K#hSH#HEL#BUDKA ED= ELIuS@<ADC APXP\H=(]@I ^>ADC G UDKSHI;PKCQ=#HS(];U#R9;I;R#SRAP?BArCQI;U=Hd u h t x g u h t = u h t x x g g + s − q s m pr −q pf + m f S@UDXDO= 9;ADCpAPXP\H=@](I ^>ADC É T\ S É c ¥ = Z Y X T US W É TV S É `Ya9#H9;LAPOPI ]u?BA c Z SHAPK SH#HED# AXP\H=(]@I ^>A bda w o z n ]E\ e bd^/l [jEkEa e _D^/\ i \E_ v y x ] [ c ` d b \ [ \ E E ] / ^ ' _ ` D _ / a \ e cëM#@OP# ¥ 9u# T\ S É Z Y = X aCb]@A=HCQcCQI  x S@UDXDOP=BULKAPXP\R=@]@I ^>A x o z n ]@ADEL#@^>q;#KAS@UDX>I;=@OJ](AMAPO=H9 | ULXDOPI;EDAPO y c=H9H^>#H9;AOED= q Ì Â z CQ=?BADEDI;GJI;SR#SHAPKUDK>#XAPK>I;GJI;SH#RSHI;PK s : Z D U K # M @ = K R # ; 9 ; I R H # R S ; I K cDEDAPKED=Hd p p p x n [D?B=@OPAEL=APXP\R=@]@I ^>ADC_KAS@UDXIu=@Ov]@ADCFTPU=YS@UDXDO=  CQ=XAPKI;GJI;SH#9u#SHAX=@Ov]uUDOP#EL= s p x L • APXP\H=@](I ^>ADC_KAS@UDXI;=@OJ]@AD3C M q |{~}Dd (D d 4D /' ~ ~D o z n Z TPU= I KS@UDOvOPI Os@K =@K p x L • OP=HEPUDKED#@K>SHIu#CQI  x =HCF=H9;=HLI;EDA MJ` aCb]@A=HCQcCQ= MAP]@=@KSRI;#:9u#:=H9u=RSHSHI;PKBEL=:CQ=@KCQAPOP=HCTPU=:S@UDXLOP#@KUDKB=H9;=@^>#HEDAKD[D?=@OPAED= APXP\H=@]@I ^>ADCKA S@UDXI;=(Ov]@ADCQcM=@K>#H9uI;Rs@KEDADCQ=Y=H9HKI ^>=H9EL=OP=HEUDKED#@K>SHIu#TPU>=EDI;S@<>#=R9;=RSHSRI;PKSR#@UCQ#@OPsh#R9CQI;Cb]@=@?#H` ² PA O =H9SHAPKD];O#@OPI;ADcCQI  x S@UDXLOP=UDK APXP\H=(]@I ^>A x o z n Z8#ÅS@UDXI;=(Ov]@A MAPO =H9rS@UDXDOPI;EDAPO CQI;KI;GJI;SH#rTPU=rCQI  x =HC =H9u=HLI;EDAçS@UDXDOI OPs:=H98APXP\R=@]@I ^>A OP=HEULKED#@KD](=@?B=(KD]@= Mvc=R9^>#H9;APOED= q ?BADEDI;GJI;SH#hSHAPKUDK>#M=@K>#H9uI;R#HSHI;PK s m Z:UDK#XAPKI;GJI;SH#HSHI;PK m cDEDAPKED=Hd "M y 9;A&TPU=  z CQ= p x Ì L å Ùáá¦ ß â à ã"!ã #%$'&¦(!ä¦!á à Ä à ! à Ä n D[ ?B=@OPAEL=APXP\R=@]@I ^>ADC8Z>#S@UDXIu=@Ov]@ADC_MAPO y TPU=]@#(?XIuV@KS@UDXDO=  x M=@K#H9uI;R#=R9 L KI ^>=H9ED=O=HEPUDKED#@K>SHIu#TPU=Y#@MAPOv](#  x CQIGJI K#H9 ?B=@KD](==HC =H9u=HLI;EDA Mv` q n [D?B=@OA EL= CQ=@KCQAPO=HC EDI;CbMAPKI X>9;=HC TPU>=®]@#(?XIuV(K S@UDXDO=@K x o z n 9u# #@KD](=@OPI;AO m L • M=@K#H9uI;R#HSRI;PKéCQ=m#@]@=(KD[#mSRAPKé9;#tO=HEPUDKEL#@KSHIu# TPU>= I KL];OPADEPUSRI OPq;#(Ké9;ADC/ED=(?BsHC/CQ=(KCQAPOP=HC OP=HEPUDKED#@KL]@=HCFTPU>=MDUEDIu=@OP#@KtCQ=@O=H9u=HLI;EDADCF=@K9 UL#@OED=  x Mv` aCb]@A/=HCQc$#@UDKTPU>=çCQ= M>=@K#H9uIuR#ç9;# OP=HEPUDK>ED#@K>SHI;#çTPU>= MDOP=RCQ=@KD]@#ç=R9 SR#@KEDI;EL#@]@A  x ch=@KÒ9u#ç=H9u=HSRSHI;K GJI K#H9EDI;S@<# M=@K>#H9uI;R#HSHIuPK CQ=®CQI ];[#®G OP=@KD]@=®#®9;# OP=HEPULKED#@KSRI;#®TPU= ]@#(?XIuV@K MDOP=RCQ=@KD]@#@K AP];OPALC MAP]@=@K>SHI;#R9;=HCFSR#@KEDI;EL#@]@ADCQ` • s m K#^>=HYSH#H9;S@U>9;#HEDADCF9;ADC_^>#H9uAPOP=HCFED= Ì p  x z cPM#@OP#±]@ADEDA  x ∈  <BB y BB B cDCQ=CQ=H9u=HSHSRI;APK#Y=H9CQ=(KCQAPO  ED= ^>#H9;APO?B+s *LI ?BADc=HCb]@A=HCd Ì p  x z = vHtÍ {Ì p  z Å Â ∈  <BB y BB B }` aKÅ=H9SH#HCQAED=çTPU>= x ^>#@OPI;ADCCQ=@KCQAPOP=HCMDOPADEPURSH#(K =H9_?BI;C?BA?s+*DI ?BADc±=H9F#R9;LAPOPI ];?BA=H9;I;L==H98MLOPI ?=@OPAED==H9;9;ADCr=@Kh=R9 APOPED=@K=@KTU=Y#@M#@O=HSR==@Kt9uADCFED#@]@ADCFED=Y=@KD];O#HED#H` Înh/{rtnÊro ol tlxoshks tn/{ks5hxvwkol qt}Èt hxos5tqhÜl }onjs5kqo}hvwholxk ~# e × ntÐkmxolqhÜl}oÐnki!kmoxhÔki!qs'Cxhqki)Û on/qkss5oijkl}holÈxoÐqklrlxk y }o ioliks5oi÷qtl}h}txki  <BB BB B â à z jts5t qt}Èt rlk }o nki÷ioliks5oi Ý p qtl}h}txkintoÔÈtnrtqhÜÈl×}ont rlÈqhÜl×}o#onoqqhÜl×xholo}Èoqkvwjno3h}t} ¢ â à z p qhqnk¡ kÈs5z5nroc{k onwqÜÈvwjrxk }ont¢ rlÈqhÜl }Èo#onoqqhÜl jtstxk}ki nki8ioliks5oi y s5oÊrhos5o ¢ p qklirvwoÐrlxhovwjk}o ¢ p â à m z ݤ£ qklioqrolxovwolxontuqkvwjnoh}t} K lÚvwos5k;§5hltn}o!~rms5h}ksoi rÈoc{kntqkvwjnoh}t}}ÈoÐqt}ÈtÐ~rms5h}ksoi ¢ xkxtnw}onwtnBks5hxvwk Ý SHAPKD]@I KDU>#HSRI;PKCQ=EL=HCQS@OPI X>==H9HMC=@UEDADSHDELI;LAED=H9#R9;LAPOPI ];?BAD` " oi ¢ p ¦ â à ¥ z }kl}o ¦ p â à ¥ z5 oi on Þ!ßà ¤á¦âãÄä¦H à ¤¦ ß å ß ã¦Ãæ!¦ä¦Ä#ç¨ÃãáèÈâ¤ ß ÙéãÄ & &!9: ')(+*-,/.103254768. Fn ² Ù HG = `  c  ={ p Y } L ½ CQ=@KCQAPOP=HC3Mvc  ¦ÃÄfeghijklhmnoi p 9 03;=<4>25?/.A?/.©«ª ©­¬!*-2D®­¬ ?/2D¯© Y ={p } LSR APXP\H=@](I ^>ADC3M °  ¦ÃÄfeghijklhmnoi8qrms5tuqkvwjnoxtvwolÈxo+{z | s5kqo}hvwholxk~# e Ù Ù = + y y =∅ {¢¤¥¦e~rmhos5xki ∅ ¢¤¥¦e~rmhos5xki z p ≠ ~ tnqrntonqklrlxk <´ {¡£¢¤¥¦e~rmhos5xki y y ±<²B³ ⊆ ~kvwjrxt  <BB BB B ⊆ y p qt}t  ¦ÃÄfeghijklhmnoi ∈ x  <BB BB B z y | Îe Ì | s5kqo}hvwholxk~µ Ì p  z x p S@UDXI;=@OJ]@AMAPO oz n qt}Èt x Ì #onoqqhklt  y = y ÎqxrtnhÏt ol} Ø Ù p p  · p x  p p  z x x z Ì Ì = p p  x z = vHtÍ Ì {  M x M  = p z x z x + − p  z Å Â −¶ p ∈ p +¶ m | Îe Ì | s5kqo}hvwholxk~µ xtnÊro Å Ì Â KA=HCb]@sYS@UDXIu=@Ov]@A Ì p z x ` = oz n L x ol}  p p  x m z z  <BB BB B y x ¦ÃÄfeghijklhmnoiТ¤¥¦e~rmhos5xkiz¨Å | s5kqo}hvwholxk~# e ×z y lÚvwos5k}o)~klrlxki~rms5h}ks5oiz5ÈÛÐnki~rms5h}ks5oi "¨ p m Y y Ý } å Ùáá¦ ß â à ã"!ã #%$'&¦(!ä¦!á à Ä à ! à Ä 9YI;U#H9YTPU=#@KD](=HCçI;9 UCb];O#(OP=@?BADCç=H9YG UDKSHI;APK>#@?I;=@KL]@AmED=H9Y#R9;LAPOPI ];?BA SHAKÜ=H9±?I;Cb?BA =;\H=(?M9uA UD]@I;9uI;R#HEDA=@Kt=H9#H9;LAPOPI ];?BAr#(KD]@=@OPI;AOPcPZpS@U¦Z8#ED=HCQS@OPI MSHI;PKr^>I;=@K=ED#HEL#MAPO9u#](#@X9u#Hd K w t w p v p p g m ~kvwolÏtvwkiqkl p w ¥ ¦ÃÄfeghijklhmnoi  <BB BB B  ={ y t º  p ) Ä ê  m ¥ ) p p s Á " À u h t ¿ = + + + =¾ £onoqqhklÈt tàp v p   ¼ p p  z ¥ t ={ p = ê Ì p  ¼ }Ý "¸ z =− Ì ê Ä ê ê p g ) " p =  À » z ¼ m q − m w p ê p q q ¿ w m s ) go!h/{rÈtn§5ks5vwt!kmxolov ki Ì roc{k < ´ y y < ={p º } ) Ä − p w p ) p q £ lÜxoio!Êro)tnjs5hlqhjhkxk}kinkikmoxhÔkiikl¡½k~rmhos5xkid-z s u h t ! t s » | s5hvwos5t¹=xostqhÜl Å p ¼  º  ¼ º ¥ t w ¥ m  m p t • w p =− Ý ¡ Ý » }` Þ!ßà ¤á¦âãÄä¦H à ¤¦ ß å ß ã¦Ãæ!¦ä¦Ä#ç¨ÃãáèÈâ¤ ß ÙéãÄ #o{rl}t¹=xostqhÜl Å¢¤¥¦>e~rmhos5xki ¦ÃÄfeghijklhmnoi t w m s s p − u h t −¶ m m g +¶ }c » z + m z  ={  m w s = {¼ y y  ¥ q p $ p t ={ w ¥ ê ê Ä v ! m Ì º =− ê p  z m # ¡ " ihol}k =− p  » z ê =− ¦ÃÄfeghijklhmnoi m w ¥  {  m Ý Â ¥ ¼ º ¼  w ¥  | s5hvwos5t¹=xostqhÜl Å p m  ¡ =− ê Ì z ¼ z ¥ + +¶ m  p z p }Ý w t ¼ º ê ¢¤¥¦e~rmhos5xki Ðio!js5kqo}o)t!qklixs5rhs/onih/{rholxo!~rms5h}ks • }` ) m p − ¿ g t pf » −¶ p Ì v  ¼ p ¡ º  m p q " } º m # tÇ º <´ < ¥ s p y Ä }  <BB BB B  = −Æ #onoqqhklt p  ¼ Ä ¹{rÈtnvwolxokmxolovwkÈiÅ u h t ~kvwk  ¼ m Ä m p º ) m q  ¥ p w p  m p q p  { m ¥ º { p » < ´ y y < ={p m º }  <BB BB B tÈks5t!xk}kinkim3oxhÔkiiklk~rmhos5xkiz "Å Ý y  ={ m  ¥  ¼  » }` ¼  » } $ å Ùáá¦ ß â à t w m s ê p s " Ì =Æ rock  p #onoqqhklÈt ÂÊ ¥ z ¼  ={ m ºH½ÌÍ­ÎI;CbMAPKI X9u=HC k { t w m s p −¶ p p − u h t m m g z p +¶ m + z " } <´ < y y ={p }  <BB BB B ={  y }` ¼ w ¼ p Ä " ¼ p − Ì ÂÊ −¶ p  ={ m ¥ «Â p  ¼ m z Ä m Ä m q p p z + +¶ =− z m " # " } ¼ Ðio!js5kqo}Èo!t)qklixsrhs/onih/{rholxo!~rms5h}ks ¥ kio!}oxtnnt!nt)qklixs5rÈqqhÜl}o ihol}k ¥ ¼ ¥ p s ¿ ! «Â m Â Ä # ¢¤¥¦e~rmhos5xki • } ¥ º ¼ =− | ks/xtlxk#onoqqhklt ~kvwk { m Ä ` $ p Ä ê ê = q m z s m q » » Å ¼ m p s  ¼  p = Ä $ p q w p  m z ¥ ) ) }Ý ¥ #o{rl}t¹=xostqhÜl Å¢¤¥¦>e~rmhos5xki Ë Ì ê =  p ¼ º ) q p w ¥ − p m ) p q ÎlEÉnkE{tvwolxo!io!kmxholo Å Ì £ w ¥ s ê p g m ê q − u h t  ¼ m p p w p ê p q s ã"!ã #%$'&¦(!ä¦!á à Ä à ! à Ä Â¦ÃÄfeghijklhmnoi Û t!ÊrÈoqnts5tvwolxo Ä ` ¥  {  ={ m m «Â «Â » » } }Ý Ý % &'(&*)+-,.+/+-&0)+21435146875-5,79:25:9;<*/+7>=?7@A&149B'(&*:&<*C+<579D25:9E;<*F5 ,14&/.:9/&G.<5H)&7.:9;<G;,B9'(56JIK5HL.+H)+HF5H57:25<D25/&G75H%&B5H).,+149&1M4NO5PQRS+&1UTWV TXZY'(+214&/+%.0149/&14+)\[46J7&L.+).,&<+.<5'(+^]_&145`)&01a+`7&)14+).7B5/&)/+7b=7E@A&149B'(& c14++/JIW5,79:25/&>57S'(9)'(&>+^]^+'(,7&>M4/&</+)+&0B.39+14&<>">%.0149/&14+)[d=)9'(9)'(&6$.A< ,149'(+15<e79)9)?:&'(,51a5B93&f)&014+(7&)?)[email protected]+<B+)g+^]^+'(,7&)?,514+:2+(:&<h49E14'(51+)B+('(+^]^&1 :&'(,&14B5'(9+<B&W/+7)+2@A.</&WF+.14i)B9:&W14+),+:B&W/+7,149'(+14&$dKjS)B&W)+,.+/+:&'(,14&051 +<O7&)(+^]^+'(,7&)(L.+f)+f'(.+)B145<O5f:&<B9<.5:9;<6/&</+>:&'(&kIK5f)+fF5f/+B5775/&675) '(5B149:+)G09<51495) (p n o ) l M4NO5B149:+)G/+W%&0+14B.1a5[H1a+,14+)\+<B5<q7&)G/5B&)G/+W+<B1452/5W+< m× Br14'(9<&)O/+s%&0+14B.1a5H/+7&))+<)&14+)t6+)B&+)6 (p n o )m ×l uKvxw\y } { | = z ~_8~_K w ~_ vKK ~~_ ~ ~ ~ ~_ ~ ~ ~$ = ~ > ~ w yK \ xg w vxw\y \y = # y w\\ # w\\# w u ~ ~_ ~_¦ ~~ ~ > v# vxw\b¡K yK £¢by w¤ xaw\ a>y¥ y w v w\yb ~ ~ S~ ~ w\Ky b \y§ >xw\vxww\¡a yKaw Ky w> w\ >w¨y > w\\© w ~ ~ ¬ ~ ~ ~ ~ vx w uªKy«\ga yqb\xv#y 8«\¨vy w ¨vxw\­K\ w w\\# w ~ ~ ~ ~ 8~_ ~_¦ xu¥bw w\ >w K\w vxy w bv w\yb \ ¯ ® yKKK ®° ± ²w\b¡¥ ®?³ = # ´ = # µ !#"$! ¶·¸¹¹º» ¼½k¾#¿¥¾ÀÁa º ¿Ã º ¹ ¼ Ľk¼#¿¥¼Ä ÆOÇÈÉÊ(ËÌSÍÎÏ4ÉÐËÑWÒ ´ ÓÍÔÏ4ÕÖ×ÉÐËÓgØaÙGÚZÛÊ(ÍÏ4ËÜÍÝÔÞÏ4ÉÜËÏ4ÍÖÑWß å ã = {ä ã àâä á }à ë é = {ê è ´çê æ }´ ë æ = {ê ì ´ ê é }´ ë ï = {ê î ´ ê í } ÓÍÔÏ4ÕÖ×ÉÐËÓgð\ñqÚZÛÊ(ÍÏ4ËGÜÍÝÔÞÏ4ÉÜËÏ4ÍÖÑWò ÝÔÞÏ4ÉÜËÏ4ÍÖ¥ñ ë ï = {ê ó ´ ê í }´ ë é = {ê è ´ ê ï ô }´ ë æ = {ê ï ´£ê õ }´ ë ó = {ê æ ´ ê ì }´ ë ì = {ê í ´ ê ïô } ® ÆOö×Ï4É÷HÜÍÝËÞÍÏ4×ÔÏ4öJñ ³ = # ´ = # µ ÆOÇÈÉÊ(ËÌSÍÎÏ4ÉÐËÑWø ´ ÓÍÔÏ4ÕÖ×ÉÐËÓgØaÙGÚZÛÊ(ÍÏ4ËÜÍÝÔÞÏ4ÉÜËÏ4ÍÖÑ Å ÝÔÞÏ4ÉÜËÏ4Í2Ö¥ñ ë ï = {ê é ´ ê æ ´ ê ì }´ ë é = {ê ÓÍÔÏ4ÕÖ×ÉÐËÓgðaÙGÚZÛÊ(ÍÏ4ËÜÍÝÔÞÏ4ÉÜËÏ4ÍÖÑWø ÝÔÞÏ4ÉÜËÏ4ÍÖ¥ñ å ï = {ä é à ä ï } ´ ë é æ ´ ê ì }´ ë í #ÅÅ = {ê í ´ ê ïô } = {ê é´ê î} º ë ¼ ú º»û·» ¾ º ü º à º Äý¾ ¹ þ ù » ¼ú ¹ º ¾Äà ú » ¸ÿ ¾ Ä ® ÆOö×Ï4É÷HÜÍÝËÞÍÏ4×ÔÏ4öJñ ³ = # ´ = # µ ÆOÇÈÉÊ(ËÌSÍÎÏ4ÉÐËÑ ´ ÓÍÔÏ4ÕÖ×ÉÐËÓgØaÙGÚZÛÊ(ÍÏ4ËÜÍÝÔÞÏ4ÉÜËÏ4ÍÖÑ ´ ë ï = {ê æ }´ å é = {ä ó } ´ ë æ = {ê ì }´ ë ó = {ê í }´ ë ì = {ê ï ô }´ ë í = {ê é ´ ê î }´ ë î = {ê ï´ê õ } ÓÍÔÏ4ÕÖ×ÉÐËÓgðaÙGÚZÛÊ(ÍÏ4ËÜÍÝÔÞÏ4ÉÜËÏ4ÍÖÑ ´ ë ï = {ê æ }´ å é = {ä ó } ´ ë æ = {ê ì }´ ë ó = {ê í }´ ë ì = {ê ï ô }´ ë í = {ê é ´ ê õ }´ ë î = {ê ï´ê î } ÝËÊ(Ë>ÖÍÔÍÜÍÍÏ ´ Í>ÍÖ×ÍÛ×ÉÊ(Ë¨Í ^ÍÊË>öÊ(ÞËAÖöAËÏ4É×Ê(ËÖö>öÐö÷2ö2ÜË>Í Ê(ÉÖÊ(ËÛÊ(ÍÏ4ËÜÍÐÔÞÏ4ÉÜËÏ4ÍÖ ³ µ SÖ×ö ÜÉÇÊ(ÉÐö ×EöÊ(ÞÉ£ÖÍ Ê(ö×ÉÍÍqÖÉHÉÍÏ4×ÉÊ8ËÖö ÏaÍöÐÉΣö×ÍÏ4ÉËÏGÍ×Ï4Í Í ÛÊ(ÍÏ4Ë ÜÍ>ÖÍ ÖËÏaÍÖqÍÜͨËÞ^Í×ÉËÖ¥ñÍ ÍÖÉAÔÉÍ×Í¨Í ^ÍÊËOÐËÖÉÜÍÏaöÏaÍÊ(ËÖÔÍ>Í ÛÊ(ÍÏ4ËkÜÍUÖÍ ÖËÏaÍÖZÍÖWÊ(öK ËÏ ÔÍUÍ ÜÍUËÞ^Í×ÉËÖ¥ñSÐËÐÏ4Í×öÊ(Í×EÍ ´ = ~ ~ ~ Å ò = w\\x w ~ ® #Å ø y w\\ ¶·¸¹¹º» ¼½k¾#¿¥¾ÀÁa º ¿Ã º ¹ ¼ Ľk¼#¿¥¼Ä ® ÆOö×Ï4É÷HÜÍÝËÞÍÏ4×ÔÏ4öJñ ³ = Å 1 1 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 1 ò µ 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 ÓÍÔÏ4ÕÖ×ÉÐËÓgØaÙGÚZÛÊ(ÍÏ4ËÜÍÝÔÞÏ4ÉÜËÏ4ÍÖÑ ´ ë ï = {ê æ ´ ê ïEï } ´ ë é = {ê î ´ ê ï é }´ ë æ = {ê ï î ´ ê é } ´ ë í = {ê ï ´ ê í ´ ê ï í }´ ë î = {ê è ´ ê ï ì } ë ó = {ê 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 = 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 ÆOÇÈÉÊ(ËÌSÍÎÏ4ÉÐËÑ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ´ 0 1 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ´ õ ´ ê ï ô }´ ë ì = {ê ï ó ´ ê ó }´ ë ó = {ê ï é ´ ê ï ì } ´ ó ´ ê ïí ´ ê ï } ë ì = {ê ï î ´ ê è }´ ÓÍÔÏ4ÕÖ×ÉÐËÓgðaÙGÚZÛÊ(ÍÏ4ËÜÍÝÔÞÏ4ÉÜËÏ4ÍÖÑ ´ ë ï = {ê ïEï ´ ê ë í = {ê õ ´ ê ï æ } ´ ë é = {ê í } ´ ë î = {ê é ´ ê æ ´ ê ï è }´ éEô }´ ë õ ë æ î ´ ê ì }´ ë = {ê ï ô ´ ê ó } ´ è = {ê = {ê #Å ß º ë ¼ ú º»û·» ¾ º ü º à º Äý¾ ¹ þ ù » ¼ú ¹ º ¾Äà ú » ¸ÿ ¾ Ä öÏ4öööÉ÷2öÏSÖÉÍÖ×ö?×ÍÜÍÐÉöÖ\ÍÊ(ö×ÉÍÍ?Í(×ÏaÊ(ÉËÖÍÖ×öÜÕÖ×ÉÐËÖÏ4ÍöÉ÷2öÏ4ÍÊ(ËÖ Ô ÍÖ×ÔÜÉË ÐËÊ öÏ4ö×É Ë ÜÍ ÐËÊ ËÏ4×öÊ(ÉÍ ×Ë ÜAÍ öÊ(ÞËÖ öA ËÏ4É×Ê(ËÖ Í ö Ôö ÜË öÖ ÖËÔÐÉË ÍÖ ÔÍ Ï4ËÜÔÐÍ ÖËÞÏ4ÍUÔk ÐË^ Ô ×ËkÜÍqÆOö×Ï4ÉÐÍÖZÜÍ ÝËÞÍÏ4×ÔÏ4ö ö Íö×ËÏ4ÉöÊ(Í ×Í AÍ ÍÏ4öÜöÖ ´ öÏaö ËÜÍ2Ï$ÜÉÖ! Ë ÍÏ$ÜÍÔ öHÞöÖÍHÍÈ" ÍÏ4ÉÊ(Í ×ö# ÔÍö ö Í E öö ×Í2ÏaÉËÏ$ÐË^ Í×ÔÏ4ö öÏ4öWÏ4ÍöÉ÷2öÏ$öWÐËÊöÏaö2ÐÉÎ ´ ÍÊ(ËÖGÐËÖÉÜÍÏ4öÜËqÜÉÖ×É×ËÖÍÖÐÍöÏ4ÉËÖ ´ ÖËÞÏ4Í ÐöÜöÔËÜÍÍ ËÖÖÍ öG Í ^ ÍÐÔ×öÜËGöÊ(ÞËÖöAËÏ4É×Ê(ËÖ % ËÖ$öÏaÇÊ(Í×Ï4ËÖHÜÍÍ×Ï4ö2ÜöÜÍÐöÜöÍÖÐ2ÍöÏ4ÉËWÖËñ & ³ ÛÊ(ÍÏ4ËWÜÍÖÍÖËÏ4ÍÖ µ ' öA ËÏ4É×Ê(Ë)A Í ÍÏ4ö öEÍö×ËÏ4ÉöÊ(Í×EÍ Ôö Ê(ö×Ï4É÷ ³ ÛÊ(ÍÏ4Ë ÜÍ ËÞ^ Í×É ËÖ µ( ËÞÏ4Í Í ËÖçÍ> ÞÉöÏ4ÉöJñ# öÆOö×Ï4É÷(ÜÍÝËÞÍÏ4×ÔÏ4ö ´ ÐË* öÛ ÉÐ2öÏaÍÖ×Ï4ÉÐÐÉÎ> ÜÍÔÍË>ÍÈÉÖ×öÔöÐËÔÊö ÜÍGÐ2ÍÏ4ËÖ ³ öÏaöA ö2Ï4ö ×É÷2öÏ+ ÔÍÐöÜöËÞ^ Í×É Ë¨ÍÖ× Ð2ÔÞÉÍÏ4×Ë, ËÏö Ê(Í ËÖ`Ôf ÖÍ ÖËÏ µ4´ ÍÖ×Ë ÍÖ¥ñ ³ ¾ µ . ×- ´ ×ö#ÔÍ ¾ ´ Ö É ê Ð ÔÞAÏaÍ ö û 1/ 0 ×ö#ÔÍ 7 8 3 4 ; 9 : ≥ 5 <=>?@>$A>B> D = $EF G E C = 2 ´ ÐöÖ Ë Ð ËA×Ï4öÏ4ÉË ´ 96 = H K = IJ L@M@N O PQ E"R ' STU N TVW P WX F J T F JJY P VZT[ P WX F J]\ ^ V_X[!`XX[ Y XV"TU NP Xa PbO X` N S P XU@TX[!`cW N TU$Xa Y P"d Z P U@`T dN XV` P WXa P [Tae P U N ` dP [ Y cTVW P Xa+Vf d XU P WX PbgO X` N S P [STU N T b T,XVhcV Y N XU@` P XV` P U@V P WXa+Vf d XU P WX,ijXV[ P U@X[ \ k P V Y U@X`T d XV`X E [lXaX YY NP VTVW P a P [ ' PbO X` N S P [mXVcV N V`XU@STa P Y XV`UnTW P XV K = IJ \ o P UpXaa P E Y TWT Y T[ P [!X Y TU@T Y `XU Nq TZ P Um[!c[ ZTUnr d X`U P [ WX)ZTU@r d X`U P [ W"XXV`U@TWT L K E C Q E W P VWX K = IJ ijXV[ P U@X[ R C = F J E t J E s J E G E F JJ PbO X` N S P [ \ o TU@T Y TWT_ZTUnX O T L IJ E C Q u X dP [vX O X Y c`TW P a P [wW P [*Tae P U N ` dP [ t J S"X Y X[ L exXV"XUnrVW P [!X Y TWTyS"X q cVT VcXST d T`U NqQ \ i Pb U@Xa P [ t J U@X[!ca`TW P [ M@N VTaX[ E u X dP [ Y Ta Y caTW P aT[{z}|~$~| K C |! ~|!~ !|ZU P Wc Y N W P [mZ P U Y TWT$Tae P U N ` dP E cX [ P VaT[ cX M@N excUnTVXa#aT${T b aT \ F \ #Å ò | C z}mn+| ~| jz} FJ tJ t E¹ t J E¥ t ¸ E t]F E s sJ F I EI F EF F¹ st E J t ¹ E ¤ ts E t t ¸ L K = I J Q $ % $ % $ $ ¨©«ª­¬®!¯°¬ ¥ J IJ F¤ E s F¥ E t & H TY [ P [yZTUnT ±m²n³¬´µ¶¯· J ¸J ¤ J ¹J FF E ¸ FF E ¹ F¤ E I F J E ¸ E t F E Fs E F F¥ E t J E s Ft E J E ¹ t E s t]F E t t¥ E Fºs]F E ¸ t J E ¤ f d X U P X W N P WX k c b U N W P U@X[ ER STa P U d XW NP WXa Y TW"T ZTU L K E C Q E Y P V K = IJ [!XV[ P U@X[ R C = F J E t F JJ ¹ Et FF E ¹ F¹ EF r NdP {XU N Y P XV t J J E G E F JJ PbO X` N S P [ H ^ S P ac Y N VWXa P [yU@X[lca`TW P [yZTU@TcVexUnTV N V Y U@X d X V` P WXa Vf d X U P W X PbO X` N S P [m[ Pb UnX Xa#Vf d XU P WX [lXV[ P U@X[ \ ! " # c N V`XV`T dP [ Pb [!XU@S"TU]Xa Y Pd Z P U@`T dN XV` P W"X a P [mU@X[!ca`TW P [ Y cTVW P Xa#V"f d XU P WX PbO X ` N S P [ [!c M U@X¡cV,exU@TV,Tc d XV` P [ Pb U@X¡Xa¢Vf d XU P WX¡[!XV[ P U@X[ \ o P U£Xaa P E VcXST d XV`X u X dP [ Y P V[ N WXU@TW P K = IJ [!XV[ P U@X[ E#R C = t JJ E s JJ E ¥ JJ E IJJ E ¤ JJ E F JJJ PbO X` N S P [£T$aT u P U@T¦WXeXVXUnTUaT[ d T`U N Y X[ \ a N excTa cXTV`X[ E Z"TU@T Y TWT¦Z"TUWXXV`U@TW"T L K E C Q [!X u TV exXV"XU@TW P t JY T[ P [ E X O X Y c`rVW P [!Xa P [$Tae P U N ` dP [$[ Pb U@X Y TWT Y T[ P E Pb `XV N§ VW P [!XWX Y TWT WXXaa P [ cVTa N [!`TWX t J [ P ac Y NP VX[ XV Y TWT Y T[ P \ ^ VaT{T b aT \ t M@N exc"U@TVaT[ d XW N T[ WXa f d XU P WX k c b U N W P U@X[ Pb `XV N W P [¡XV Y TWT Y T[ P E T[! Y PdP Xa+STa P U d XW NP WXa r NdP {XU N Y P \ L K = I J Q $ % $ % $ $ & t J J ¤ E¤ Ft E F ¨©«ª­¬®!¯°¬ s JJ ¥ JJ F J E F F J E¥ Ft E s Fs E ¤ ±m²n³¬´µ¶¯· IJJ F J E¤ Ft E t tt E ¸ ts E ¤ t¥ E ¹ t ¸ E¤ ¤ J J F J E¸ Fs E I t ¸ E F JJJ F J E¥ Ft E ts E ¥ H f d XU P X W N P WX k c b U N W P @U X[ ER STa P U d XW NP WXa r NdP {XU N Y P ZTU@T Y TW"T ZTU L K E C Q E Y P V K = IJ ![ XV[ P U@X[ ER C = t JJ E s JJ E ¥ JJ E IJJ E ¤ JJ E F JJJ PbO X` N S P [ Ft » ! | C m~| |!¼!| K½ |~|j¾ K ¿ C !À ^ S P ac Y N VWXya P [*UnX[!ca`TW P [*ZTU@TycVÁeU@TV N V Y U@X d XV` P WXa Vf d XU P W X [!XV[ P UnX[m[ P b nU X Xa#Vf d XU P WX PbO X` N S P [ \ chST dP [ÂT Y P V[ N WXU@TUÃaT)U@XaT Y N V N VSXU@[lT)XV`U@XÄ[lXV[ P U@X[ R Tae P U N ` dP [ \ k P V Y U@X`T d XV`X E ZTU@TÅcVÆVf d XU P M@N O P WX C = IJ PbO Xg` N S P [ E X[!`cW N TU@X dP [ Y dP [!X Y Pd Z P U@`TVÃa P [,Tae P U N ` dP [ Y cTVW P Xa Vf d XU P WX_[!XV[ P U@X[,[!X N V Y U@X d XV`T E R ` Pd T­a P [ STa P U@X[ K = IJ E F JJ E t JJ E ¥ JJ E IJJ E ¤ JJ E F JJJ \ Ç T[ÈexXV"XUnT Y N "VÉWXÊaT[ d T`U N Y X[ ER Xa Vf d XU P WX t J X O X d ZaTUnX[ Y P V[ N WXU@TW P [WX Y TWT Y T[ P [ N excXV*aT dN [ d TW N V"r dN Y T cXXV a P [mX[ Y XVTU NP [£TV`XU NP UnX[ \ ^ VaT {T b aT \ s [!X d cX[l`U@TVa P [mU@X[!ca`TW P [ \ LC = IJ Q $ % $ % $ $ & I J F¥ E t F E t Es F JJ s¥ E J s¥ E ¥ ¥]F E ¨©«ª­¬®!¯°¬{Ëm¬Ì«·¯®!¬ · t J J s JJ ¥ JJ IJJ ¸ F E FF¥ E ¤ F ¸I E t F¤]F E s ¸ s E ¤ FF E ¹ F ¸ ¤ E ¤ F¤ I E t ¤¤ E F F¥ J E ¤ t]FF E t tt E ¥ ¤ JJ t¤ ¸ E t¤ ¹ E ¸ s I s EI F JJJ tt¥ E ¥ ts¥ E ¥ s]Ft E J H f d X U P XW NP W X k c b U N W P U@X[ ER STa P U d XW NP WXa r NdP { XU N Y P Z TU@T Y TW"T ZTU L K E C Q E Y P V K = I J E F JJ E t J J E s JJ E ¥ J J E IJJ E ¤ JJ E F JJJ [!XV[ P U@X[ ER C = IJ PbO X ` N S P [ Ç T[£eU@r M@N Y T[mWX aT[£TV`XU NP U@X[m[ Nd c aT Y NP VX[m[!X d cX[!`U@TVT Y P V ` N VcT Y N V H Ft ¸ | C z}mn+| ~| jz} 35 H1 H2 Max_Teor Número de Cubridores (Medias) 30 25 20 15 10 5 0 10 20 30 40 50 60 70 Número de Objetivos ' # E Y P V K = I J [!XV[ P U@X[ R C ( = 80 90 100 F J E t J E G E F J J PbO X` N S P [ 30 H1 H2 Max_Teor Número de Cubridores (Medias) 25 20 15 10 5 0 200 300 400 500 Número de Objetivos ' # E Y P V K = I J [!XV[ P U@X[ R C Ft¤ = 800 1000 t JJ E s J J E G E F J JJ PbO X` N S P [ » ! | C m~| |!¼!| K½ |~|j¾ K ¿ C !À 400 H1 H2 350 Max_Teor Número de Cubridores (Medias) 300 250 200 150 100 50 0 50 ' # ) 100 200 EYPV C 300 400 500 800 1000 Número de Sensores = IJ PbO X` N S P [ R K = I J E F JJ E t J J E G E F J JJ [!XV[ P UnX[ Í Î X a P [WT` P [U@X Y P e N W P [ÊXVÏaT X "ZXU N XV Y N T Y P d Zc`T Y NP VTa R W"XaX"T d XVÏWXÎaT[ Y P U@U@X[!Z P VW N XV`X[£exU@r M@N Y T[ E [!X ZcXWX W XW"c Y N U cX H • ^ Ða [!XexcVW P Tae P U N ` dPÑ XcU@[!` N Y PÑ ðX u Nb X cV d X O P U Y Pd Z P U@`T dN XV` P cXXa ZU Nd XU Ñ XcU@[!` N Y PÑ ØXV` P W P [a P [X[ Y XVTU NP [ Y P V"[ N WXU@TW P [ R Z"TU@T` P W P [a P [ ZTU@r d X`U P [WX*XV`UnTWT E£R T cX E XVy` § U dN V P [X[!`TW[!` N Y P [ E aT[[ P ac Y NP VX[WXa [!XexcVW P Tae P U N ` dP ZU@X[!XV`TV}cVT[ d X O P UTZ"U P NÒd T Y N V}Ta Z` NdP cX_aT[ [ P ac Y NP VX[mWXa#ZU Nd XU]Tae P U N ` dP \ • ^ [!`T d T R P U{X M@N Y N XV Y N TWX Ñ ð­WX[!`T Y TXV` P WT[aT[+[ N `cT Y NP VX[ E X[!ZX Y N Ta d XV`X TV`XcV*Tc d XV` P Y P V[ N WXU@T b aXWXa{Vf d XU P WX PbO X` N S P [U@X[!ZX Y ` P WXa{Vf d XU P WXijXV[ P U@X[ L ^ [ Y XVTU NP t Q EÅR aTX M@N Y N XV Y N TW N [ dN Vc R X Y cTVW P XapVf d XU P WX PbO X` N S P [ÂX[ d c R ZX c"XÓ P U@X[!Z"X Y ` P TahVf d XU P WXÄ[!XV[ P UnX[ E W P VWX)aT[ [ P ac Y NP VX[ ZU P Z P U Y NP V"TW"T[ Z P UpT dbP [$Tae P U N ` dP [ ` N XVXVT[lXU d c R Z"TU@X Y N WT[ L ^ [ Y XVTU NP F Q \ Ft ¹ | C z}mn+| ~| jz} • ^ a N V Y U@X d XV` P WXamVf d XU P WXÔ bO X` N S P [ L ^ [ Y XVTU NP t Q Z"TU@X Y XU@XZ"XU Y c` N U XV cV­Tc d XV` P WX,aT d X O P UnTWXa£[lXexcVW P Tae P U N ` dPhÑ ð U@X[!ZX Y ` P WXa+Tae P U N ` dP Õ U@XXW R Ñ Ø \ o XU P `T db"N§ VÖ[!X Pb [!XU@S"T cXaTW NM XU@XV Y N T×XV`U@X×T db"P [ u XcU@[!` N Y P [*ZTU@X Y XhX[!`T bN a Nq TU@[!XhZTU@ThSTa P UnX[ d c R XaXS"TW P [*WXaVf d XU P WX PbO X` N S P [ E Y PdP [!X S N [!cTa Nq T XVaT exUnr M@N Y T WX W N Y u P X[ Y XVTU NP \ • o P U+Xa Y P V`U@TU NP E Y cTVW P TVTa Nq T dP [Xa{X M X Y ` P cX[ Pb U@Xa P [U@X[!ca`TW P [` N XV"X cV N V Y U@X d XV` P X Y X[ N S P WXaØVf d XU P WXÙ[!XV[ P U@X[ L ^ [ Y XV"TU NP s Q E aÒT Y P U@U@X[!Z P VW N XV`XeU@r M@N Y T d cX[!`U@TcV Y Pd Z P U@`T dN XV` P­d c R [ NdN aTU$WXT db"P [ u XcU@[!` N Y P [ E a P cXhZXU dN `XhWXWc Y N U c"XhaThW NM XUnXV Y N TyXVaTyX M X Y ` N S N WTWÁWX T dbP [ u XcU@[!` N Y P [ W N [ dN Vc R X)TV`XcVexUnTVTc d XV` P WXa]Vf d XU P W"X[!XV[ P U@X[ U@X[!ZX Y ` P W"Xa#Vf d XU P WX P"bO X` N S P [ \ • o P U{fa` NdP E [!X Pb [!XU@ST cXXajÚ r NdP {XU N Y PÛ [!XTaX O TWXa P [U@X[!ca`TW P [Ta Tc d XV`TU­Xa,Vf d XU P WX PbO X` N S P [ R `T dbN§ VÄTa,Tc d XV`TU­Xa,Vf d XU P WX [!XV[ P U@X[ L ^ [ Y XV"TU NP s Q \ i NbN XVwW N Y u Pwd r NdP X[cVT Y P `T[!cZXU NP U R Zc"XWX V P [!XU_Ta Y TV q T b aX E X[!`XÈfa` NdP u X Y u PÆN VW N Y T cXÜU@XWX[ Y P VÆcV"TÜXaXSTWT WXV[ N WTWWX[!XV[ P U@X[Zc"XWXVU@X[!ca`TUÝZ P Y P X M X Y ` N ST[ L TWX d r[WX Y P [!` P [!T[ Q E R T cXÊXa_Tc d XV` P WXÆaTÊW N [!`TV Y N TÊTa rg NdP {XU N Y P ZcXWXÊ`T dbN§ V [!cZ P VXU¦cVTc d XV` P WXaÝVf d XU P WXw[!XV[ P U@X[ N V M U@Tc` N a Nq TW P [XVaTwU@XW \ o P U Xaa P aTwX M@N Y N XV Y N TwZ` Nd TV P X[!`rwVX Y X[!TU N T d XV`XT[ P Y N TWT Y P VcVTc d XV"` P N a NdN `TW P WXaVf d XU P WXw[!XV[ P U@X[ E [ N V P cXwU@X c N XU@X*cVyTV"ra N [ N [ZU@XS NP W"Xa ZU Pb aX d TÃZTU@TÃWX Y N W N U,aT d X O P U,X[!`U@T`Xe N TÃT[ P Y N TWTÃT Y TWTÞX[ Y XVTU NP WX WX[!Za N Xexc"X \ Fs J » ! | C m~| |!¼!| K½ |~|j¾ K ¿ C !À Ñ T[!`TÊT u P UnT u X dP [ÜT b"P U@WTW P Xa_ZU Pb aX d TÊWXÆZU P a P VexTU}aTÊS N WTÊWXÆaTÊU@XW T u P U@U@TVW P XVXUnexT d XW N TV`XaTßW N [!`U Nb c Y N V}WXa P [[!XV[ P U@X[XV Y P V O cV` P [ k c b U N W P U@X[ °µ · ³àjÌj´¯· E X[!` P X[ E XV Y P V O cV` P [ÃWX [!XV[ P U@X[+X Y ac R XV`X[+XV`U@X [! Y TZT Y X[+W"X dP V N ` P U Nq TU Y Pd ZaX`T d XV`X` P W P [a P [ PbO X` N S P [WXapT Y c b U N U \ ^ VW N Y u P X[ cX d TXa M c"V Y NP VT dN XV` P WX$a P [£[!XV[ P U@X[£X[£X u Tc[!` N S P E X[!` P X[ H XV Y TWT Y P V O cV` P k c b U N W P Ua P [£[!XV[ P UáX[ M cV Y NP VTV N V N V`XU@U@c d Z N WT d XV`X u T[l`T Y P V[!c dN U]` P W P [!c` N X d Z P WX S N WT \ i N VÊX db TU@e P E cVÊZaTV`XT dN XV` P Ta`XU@VT` N S P Y P V"[ N [!`XÅXVÊa NdN `TUXa` N X d Z P WX M cV Y NP VT dN XV` P WX Y TWT k c b U N W P U E P X c N STaXV`ÒX d XV`X E ZXU dN ` N U cXa P [ Y P V O cV` P [ k c b U N W P U@X[$[!XTV Ìj¯°µ · ³àÐÌj´¯· \ i N XV Y TWT k c b U N W P Uma P [$[!XV[ P U@X[$[!a P,M cV Y NP VTVWcU@TV`X cVZ P U Y XV`T O XãâÁW"Xh[!cÁ` N X d Z P ` P `Ta E XV` P V Y X[*c"V dN [ dP [!XV[ P UZcXWXZTU@` N Y N ZTUXV STU NP [ Y P V O cV` P [ k c b U N W P U@X[ L R T c"XXV Y TW"TcV P WXXaa P [$[!a P exT[!`TÎcVT M U@T YY N Vâ,WX [!cÃXVXUnexT­` P `Ta Q E$R X[!` P ZcXWXhU@XWcVW"TUXVÃTaTUnexTU¡aThS N WT­WXhaThU@XW d r[ cXhXVÃXa X[ cX d T WX k c b U N W P UnX[mW N [ O cV` P [ \gä ac[!`U@TU@X dP [mX[!`T N WXT Y P VcV¡X O X d Za P \ ijcZ P VexT dP [mcV Y P V O cV` P WX ¥ [!XV[ P @U X[ H è s P bO X ` N S P [ é = {¼ 6 E ¼ ç E ¼ æ } WX aT [ N exc N XV"`X M@P U d T H Ë]î Ë]ì ðáñ Ë]ï ðáó ë6 ëç èæ ëå ðáò Ë]í Fs]F è 6 E è ç E è æ E è å } c X Y c b UnXV ={ ê6 F êç F F ¼æ F F F F F F | C z}mn+| ~| jz} ji cZ P VexT dP [ cXÎ` P W P [Êa P [[!XV[ P U@X[` N XVXV X VXUnexT u PdP e § VXT E X[!` P X[ E X u P U@T[ \ i N VõZ § U@W N WTöWX M cV Y NP VTV N V N V`XUnU@c d Z N WT d XV`XôWcUnTV`XôcVõ` N X d Z P W exXV"XU@Ta N WTWÏZ P W"X dP [$T[lc dN U = F u P U@T L XVXa[lXV` N W P WX Y P V [ N WXU@TUp Y PdP aT¡cV N WTW WX ` N X d Z P ` P `Ta#WX M cV Y NP VT dN XV` P WXa#[!XV[ P U Q \ • H XV X[!`X÷X[ cX d T E Y TW"T k c b U N W P U M cV Y NP VT N V N V`XU@U@c d Z N WT d XV`XøWcUnTV`Xù` P W P Xa¡` N X d Z P Z P [ Nb aX E X[!` P X[ E WcU@TV`X = F u P U@T \ Ô b `XVWU@T dP [ cV d r NdP WX t Y P V O cV` P [ k c b U N W P U@X[ H ú 6 = {ë 6 à ë ç }à ç = {è æ Eûè å } L TcV cXX[!`T Y PdbN VT Y N "VwV P X[¦fV N Y T Q E `U@T b T O TVW P WcU@TV`X t u P UnT[ \ ñ ò ñ ò ó ó L F u P @U T Q L F u P U@T Q * • H ji cZ P VexT dP [+T u P U@T cX ZXU dN ` NdP [ cX Y TWT [!XV[ P U M@P U d X$ZTU@`X$WX d r[£WX$cV Y P V O cV` P k c b U N W P U ER¦ cX$a P [ k c b U N W P U@X[£[!X$T Y ` N SxXV¡Z P U ZXU@ P W P [ÝWX¦` N X d Z PN V M XU NP U@X[ÝT¦aT¦S N WT¦WXaü[!XV[ P U \ k P VX[!`T[ÝZU@X dN [!T[Ý[!X¦Z P WU@rV Y P V[!`U@c N U k c b U N W P U@X[V P W N [ O cV` P [ Eý cX Y P V)c"VTÂTWX Y cTW"TÂXaX YY N V)W"XÂa P [ N V`XU@STa P [*WXh` N X d Z P E ZcXWXVþZU P a P VeTUXa` N X d Z P WXhS N WThWXhaThU@XW \ ^ VXa X O X d Za P TV`XU NP U E X[!` P Z P WU@T a P eU@TU@[lX Y P Va P [m[ N exc N XV`X[ k c b U N W P U@X[ H ú 6 = {ë 6 à ë ç }à ç = {è ç E è æ }E R æ = {è 6 E è æ }E Y TWT cV P Z P U J]\ I u P U@T[ ú å = {ë å }à ÿ = {è å }E WcU@TV`X J]\ I u P U@T[ Y TWT$cV PL XVU@XTa N WTW[!cZ P VX$T Y ` N STU Xa[!XV[ P U ë å WcU@TV`X F u P U@T E Y PdP [ N u c bN XU@T cV[ P a P k c b U N W P U ú å XVW N Y u P ` N X d Z PQ \ ^ a#` N X d Z P WX k Pb XU@`cU@T$` P `Ta Y P V[!Xexc N W P W"X X[!`T d TVXU@T$X[mWX t \ I u P UnT[ \ + Fst » ! | C m~| |!¼!| K½ |~|j¾ K ¿ C !À ò ñ ó ú 6 L ]J \ I u \ Q ! ú ç L u Q J]\ I \ æ L J]\ I u Q ú å R ÿ LF uQ ( * X dP [ÝXVX[!`X¦X O X d Z a P Y dP XaüZXU dN ` N U k c b U N W P UnX[ÝV P Xa*` N X d Z P WX k Pb XU@`cUnTWXÂaTÂUnXW)cV t I d r[ c XÂXa*` N X W N [ O cV` P [ u ¦T ZU P a P V"exTW P d Z P)Pb `XV N W P Z TU@TÂa P [ k c b U N W P U@X[mW N [ O cV` P [ \ k aTU@T d XV`X E [ N cV[!XV[ P U è : ZTU@` N Y N ZT¦XV Y P V O cV` P [ k c b U N W P @U X[ 6E E E WX ` N X d Z P [U@X[!ZX Y ` N S P [WXwS N WT À 6E E À E aT*[!c d T*WX*`TaX[` N X d Z P [ V P Z cXWX*[!cZXU@TUXa ` N X d Z P ` P `Ta#WX S N WTWXa#[!XV[ P U E X[!` P X[ H 7 À 9 : L ` N X d Z P WX S N WT$WXa#ijXV[ P U è : Q 96 ≤ L cX*XVhZU N V Y N Z NP X[!`T dP [ N exc"Ta+ZTUnT,` P W P [a P [[!XV[ P U@X[ E X[!` P X[ E : = E TcV c X d r[ TWXaTV`X [!X Z P W"U@r$eXVXUnTa Nq TU M r Y N a d XV`X Q \ = ^ a ZU Pb aX d TWX P Z` NdNq TUXa` N X d Z P WX k Pb XU@`cU@TWXaTUnXW ZXU dN ` N XVW P k c b U N W P U@X[V P W N [ O cV` P [X[cVTexXVXU@Ta Nq T Y N V}WXa TV`XU NP UZU Pb aX d T E Z P U`TV` P [ N excX [ N XVW P o WcU P R U@X c N XU@XZU P Y XW NdN XV` P [ u XcUn[!` N Y P [yZTU@TZU P Z P U Y NP VTU*[ P ac Y NP VX[ TZU P Nd TWT[ \ ^ a u XcU@[!` N Y P cXZU P Z P VX dP [ZTU@`XWXa ae P U N ` dP}Ñ XcU@[!` N Y P}Ñ Ø L Õ U@XXW R Q R T WX[ Y U N ` P XVXaTZ"TU@`TW P TV`XU NP U E XVXa Y cTa N V"`U P Wc Y N U@X dP [ycVT dP W NM@N Y T Y N VXVXa Y ra Y ca P WX a P [ PbO X` N S P [ Y U@` N Y P [ H ¼ 9 9 E#R XVaT Y P V[ N exc N XV`X ÐcV Y N VWXÈijXaX YY N V cX N V Y P U@Z P U@X E XVaT XaX YY N V¡WXa#[!XV[ P U è ∈ è 8 9 E a P [m[ N exc N XV`X[ Y U N `XU NP [ ^ a#Vf d XU P WX PbO X` N S P [mV P Y c bN XU@` P [ \ • ^ a#` N X d Z P U@X[ N WcTa#WX S N WT WX Y TWT [!XV[ P U \ • Fss | C z}mn+| ~| jz} X U@X d P [ÝZU Nd X U P X a Y T [ P WX¦` N X d Z P WX¦S N W T u PdP e § "V X P ZTUnT¦` P W P Ý[ a P [Ý[!XV[ P U@X[ E X[!` P X[ E N V N Y N Ta d XV`X E : = E ZTUnTÈ` P W P [!XV[ P U è : \ i N VÄZ § U@W N WTÈWXÂeXVXU@Ta N WTW Z P WX dP [£[!cZ P VXU] F E L R T cX$a P [+U@X[!ca`TW P [ M@N V"TaX[£[!X U@X u T Y XV d ca` N Za N Y rV"W P a P [£Z P U] Q E ZXU P Ta PbO X` P WX M T Y N a N `TU+aTexXV"XU@Ta Nq T Y N V*T` N X d Z P [W N [!` N Vx` P [ E d TV`XVWxU@X dP [Xa{STa P U Úg Û XVaT$X"Za N Y T Y N VWXa u XcU@[!` N Y P \ WX d r[ E Y P V"[ N WXU@TU@X dP [ma P [m[ N exc N XV`X[mXaX d XV` P [ H {T[!ThWXhZTU@` N Y N ZT Y N V H£ä V`U P Wc Y N U@X dP [*cVZTU@r d X`U P â H ¼!Ã~| +!¼À +À K E • Y P V J < â ≤ F E cXU@XZUnX[!XV`TUnraT M U@T YY N VwWX` N X d Z P cXcVw[!XV[ P UÚexT[!`T Û XV cV k c b U N W P U E WX M@P U d T cXXa$` N X d Z P XVøXa c"X_Xa [!XV[ P U è : ZTU@` N Y N ZT_XVÃcV k c b U N W P U¡X[!`r­W"TW P Z P U H â \ ^ [!` P X[ E [ N Z P U¡X O X d Za P = I u P U@T[ E aT­`T[lT â = J \ t N VW N Y T cX E Y TWTÊS"X q cXÊXa­[!XV[ P U è : ZTU@` N Y N ZTÊXVÉcV Y P V O cV` P k c b U N W P U E Y P V[!c d XcV t J L #F " I Q WX[!c­` N X d Z P E XV­X[!`X Y T[ P E â = F u P U@T E P X c N STaXV`X d XV`X E c"X è : ZcXWXhZ"TU@` N Y N ZTUXVcV d r NdP WX I k c b U N W P U@X[ \ `X[!X cX$Xa Y T[ P â = F [ N exV NM@N Y T cX Y TWT [!XV[ P U]ZcXWX ZTU@` N Y N ZTU Y PdPd c Y u P XV,cV k c b U N W P U ER Z P U£`TV` P a P [ k c b U N W P U@X[ cX¡[!X M@P U d TUnrV,[!XU@rV,W N [ O cV` P [ \ ^ V P `U@T[ZTaT b U@T[ E aT M@P U d T Y N VWX k c b U N W P U@X[W N [ O cVx` P [[!XZcXWX Y P V[ N WXU@TU Y PdP cV Y T[ P ZTU@` N Y caTU]WX § [!`X E ZTU@T â = F \ N X d Z P U@X[ N WcTa H k TWT S"X q cX [!XV[ P U è : ZTU@` N Y N ZTXVcV k c b U N W P U E exT[!`T Z"TUn`X • WX[!c` N X d Z P EÐR aX c"XWT¦cV¼| C + !|!~ : \ ä V N Y N Ta d XV`X E : = E ZTU@T` P W P [ a P [[!XV[ P U@X[ \ k cTVW P Xa+[!XV[ P U è : [!X N V Y P U@Z P U@T*T*cV k c b U N W P U E W N Y u P ` N X d Z P U@X[ N WcTa#W N [ dN Vc R X ER u T R cX$T Y `cTa Nq TU@a P WX aT MnP U d T H : = : − â \ Y `cTa Nq T Y N V WXa Y P V O cV"` P è 9 $% 8 9 &(' ) L [!XV[ P U@X[ W N [!Z P V Nb aX[ Q H k cTVW P Xa¢` N X d Z P • U@X[ N WcTaüWXcV[lXV[ P UpX[ Vca PL [!XV[ P UpTe P `TW PQ E PbN XVX[ N V M XU NP UpT¦[!c` N X d Z P WX ZTU@` N Y N ZT Y N V E [!X$Xa NdN VT WX a P [m[!XV[ P U@X[mW N [!Z P V Nb aX[ \ ^ [!` P X[ E Y cTVW P : < â \ a X[!`U@T`Xe N T N excTa c"XXVXaTae P U N ` dPÑ Ø E `T dbN§ VX[!`XTae P U N ` dP ` U@T b T O T[!XefVcVT [ UnX Y cU@[ N ST d XV`X E Y P V[!`U@c Y ` N ST Õ U@XXW R«E¦ cX}S"T Y P V [!`U@c R XVW P a P [ k c b U N W P U@X­ Fs¥ » ! | C m~| |!¼!| K½ |~|j¾ K ¿ C !À u T [!`T cX}V P cXWTVÜ[lXV[ P U@X[_W N [!Z P V Nb a X[ Y c b U N XVW P a P [ PbO X` N S P [ +\ * r [ N Y T d XV`X ER [ N exc N XVW P W N Y u P X [ c"X d T H è = {è 62E E è 8 } 354 ~ ~ ~%6 é = {¼ 6E E ¼ 7 } 358 %~ 6 y \ w \ u w \ \ x w u 3¡° a ± ²ªw\¡K (9 9 : )8 7 6¡¦ ¯ ± ~_ : = D = F E E K y v bw\ b u ¯ ,.-0/.1 × : <à;] = x ∈( è | K ?> Í N [!Z P V Nb aX[ , è L è | K ?> Í N [!Z P V Nb aX[ Y c b U@T Y Pd ZaX`T d XV"`X é Q - * o U P Y XW NdN XV` P k Ô ijA@2BC ^ > 9 9 = ∅ EED D |F> k c bN XU@` P [ ∅ k G E X[!` P X[ E H 9 V P Y c b U@TIG Q | F > c X @ U ` [ D D L b N P - * ≠ k Ta Y caTa P [ Y P V O cV` P [ J 9 9 E K 8 9 ijXaX YY NP V"T K ∈ K 8 9 [!XexfV " H 9 =H 9 L K Y `cTa Nq T NL MOQPSR > k c bN XU@` P [ Q XVW L o U P L `P W ' - * Y XW NdN XV` P k Ô ijA@2BC ^ > H 9 Q P [ma P [m[!XV[ P U@X[ K : ∈ H 9 Q Y `cTa Nq T ` N X d Z P U@X[ N WcTa H U : =U : − T O E X[!` P X[ E K : N V Y TZT q WX Z"TU@` N Y N ZTU Q * / 0 L U : <T O Y `cTa Nq T K RSVW > Í N [!Z P V Nb aX[ E Xa NdN VTVW P K : /0 - ' * Fs I . X+YZ\[\[ RSU^]_2`ba#cda2e+fQghRicjR [ _W`b_#cd_W Y P V` N VcT Y N V XZa N Y T dP [ d r[ W X`TaaTWT d XV`X Xa ZU P Y XW NdN XV` P k Ô ijA@2BC ^ > H 9 E Y P V Y UnX`T d XV`XÄV P [ Y XV`U@T dP [ XV aT)XaX YY N V WXÄa P [ PbO X` N S P [ Y U@` N Y P [ E WXa Y P V O cV` P W"XijXV[ P U@X[ Y TVW N WT` P [ R a T WX[ Y U N Z Y N VWXaTkÐcV Y N VW"X ijXaX YY N V \ • • • k T a Y caT dP [ J 9 9 ⊆ G MOQPSR > k c bN XU@` P [ Y PdP [ N excX H [!XaX YY NP VT dP [ E W"XXV`U@X a P [ PbO X` N S P [m` P WTST V P Y c bN XU@` P [mZ P U H 9 E T cXaa P [ PbO X` N S P [ H l r[mX[ T[lT d XV`X c bN XUn` P [mXVVf d XU P WX ijXV[ P UnX[ Y Y \ m r[+X[ Y T[!T d XV`X Y c bN XUn` P [+XV` N X d Z P U@X[ N WcTa H Z"U@X[!XV`TV)Xa d XV P U¢S"Ta P U{WX aT[!c d T WX a P [m` N X d Z P [mU@X[ N WcTaX[mWX a P [m[!XV[ P UnX[ cX a P Y c b U@XV k Pd Zc`T dP [ K 8 9 ⊆ K RSVW > Í N [!Z P V Nb aX[ [!XaX YY NP V"TVW P Y PdP Y TVW N WT` P [ T cXaa P [h[!XV[ P U@X[hW N [!Z P V Nb aX[ Y c b U N XVW P TaexfV PbO X` N S P Y U@` N Y P WXa Y P V O cV` P Ú J 9 9 Û \ k PdP ÐcV Y N VÉW"XÊijXaX YY N VØX[!`T b aX Y X dP [ÜaTÆ[ N exc N XV`X H o TU@T Y TWT [!XV[ P U K : ∈ K 8 9 E Y Ta Y caT dP [ o L K Q = ` p + n : E W P VWX H l q ! f d XU P WX Ô bO X` N S P [mV P c bN XU@` P [ cX c b U@X K : p Y Y \ l n : ! f d XU P WX k c b U N W P U@X[mXVa P [ cX ` P WTST Zc"XWX ZTU@` N N Z"TU K : Y \ Ñ T R c"X`XVXUXV Y cXV`T cX E TZTU@` N U{WXaj` N X d Z P X V Y c TV`T cX Y TW"T k c b U N W P UÚ Y P V[!c d X Û cV¡` N X d Z t x r y Y PdP H z = tu z v s r L ZTU@`X$XV`XU@T Z P U]WX M X Y ` P WX W NY u o P U+fa` NdP E Xa k U N `XU NP WXijXaX YY N V*Xa N exXT c § a{[lXV[ P aT{ÐcV Y N VWX ijXaX YY N V \ w • U@X[ N WcTa U : WX K : E R `XV N XVW P P WX T O E [!$X ZcXWX Y Ta Y caTU n : k P V` P W P a P TV`XU NP U E Xa#Tae P U N ` dP cXWT Y P dP [ N ecX H Fs P Y P Y N XV`X Q \ U Y TVW N WT` P c X d T N dNq T | U^_O [ RS]aW+jR H _ORSU J Y U^a}RSV n SR jRSW~Va \[ ] OU Z\ aW ¯ ,.-F/.1 ° ± ²w\­K\ ( z ) × ¦ ¯ ± U = O 3 P = FE E V 6 w ∈ (< à ; ] K RSVW > Í N [!Z P V Nb aX[ , K y v z u u u K Í > ! [ Z V a X [ c @ U T Z a X ` T L RSVW N P N b Y b Y Pd d XV`XIG Q - * o U P Y XW NdN XV` P k Ô ijA@2BC ^ > H H = ∅ E MOQPSR > k c bN XU@` P [ ∅ k > c X @ U ` [ G E X[!` P X[ E H V P Y c b U@TIG Q N L M Q O S P R b N P - * ≠ k Ta Y caTXa Y P V O c"V` P J( ⊆ G − MOQPR > k c bN XU@` P [ L@PbO X` N S P [ d X V P [ Y c bN XU@` P [mXVVf d XU P WX [!XV[ P U@X[ R XV[!c d T WX ` N X d Z P [£U@X[ N WcTaX[ Q k Ta Y caT K ⊆ K % L [!XV[ P UnX[ Y c b U N XVW P TaexfV PbO X` N S P Y U@` N Y PQ L Y TWT K z ∈ K Q ' o L K Q =` p +n z z ' ijXaX YY NP VT K ∈ K `Ta cX o L K Q = d T {o L K Q H K ∈ K } H H L K Y `cTa Nq T LNMOQPSR > k c b N XU@` P [ Q XVW L o U P L `P W ' - = * Y XW NdN XV` P k Ô ijA@2BC ^ > H Q P [ma P [m[!XV[ P U@X[ K z ∈ H Q Y `cTa Nq T ` N X d Z P U@X[ N WcTa H U z =U z − T O E X[!` P X[ E K z N V Y TZT q WX Z"TU@` N Y N ZTU Q * / 0 L U z <T O Y `cTa Nq T K RSVW > Í N [!Z P V Nb aX[ E Xa NdN VTVW P K z /0 - ' * Fs ¸ X+YZ\[\[ RSU^]_2`ba#cda2e+fQghRicjR [ _W`b_#cd_W i N a T Y Pd ZaX O N WTWWXaÝTae P U N ` dP Ñ Ø L Õ UnXXW R Q ZTU@T k c b U N W P UnX[W N [ O cV` P [XU@T M L ] V Q L [ N XVW P XawVf d XU P WX k c b U N W P U@X[ÁW N [ O cV` P [ Q E aT Y Pd ZaX O N WTWÎWXX[!`X Tae P U N ` dP [!X N V Y U@X d XV`TUnrXV M cV Y N VWXaT`T[!T T \ [! EÅR Y P V[ N WXUnTVW PO F Y PdP Xa ` N X d Z P cV N `TU NP WXS N WT¡WX` P W P [a P [[!XV[ P U@X[ E Y TWT[!XV[ P U+ZcXWX L Z P `XV Y N T a d XV`X Q [!XU ÚXaXe N W PÛ Z"TU@T N V`XU@S"XV N U,XV F k c b U N W P U@X[hV P W N [ O cV` P [ E P X c N STaXV`X d XV`X E Xa T ZU P Y X W NdN XV` P Ú k Ô ij @2BC ^ ZTU Y N Ta Û Z"TU@T Xa Xe N U E a P cX t¥¦¤ § r § £ ¡ © ¤ tu ¨ ¡ \ o P UÝ`TV` P E aT w rs ¢ § § £ t t Z P U © ¤¥¦¤ ª tu rrs ¨ ¡¡ L © ¤¥¦¤ ª tu ¢ w M@N VTaWX k c b U N W P U@X[ L Y PdP T = F J E PN V − § V Z P ` XV Y N TaX[Ú[!XV[ P U@X[T_` N X d Z P T N V Y U@X d XV`XÎaT Y "P d ZaX O N WTWÏWXa Y TWT k c b U N W P U H T > H Û W N [!Z P VXWX Y Pd Z aX O N WxTW M@N VTapWXXapTV`XU NP U Ñ XcU@[!` N Y PÑL Q S N XVXWTW"T v r § £¡ ¨ ¡ Z TUnT$cV¡S"Ta P U¢eXVXU@Ta W X O Q E W P VW"X X[+Xa V f d X U P w rs ¢ Y P V"[!`U@c N W P M XU NP UnX[ Q [!X [ \ ^ [!` P ![ cZ P VX cX}ZTU@T}S"Ta P U@X[ d c R ZX cXÓ P [_WX T N V Y @U X d XV `TU@r [!XV[ Nb aX d XV"`X Xa#` N X d Z P W X Y Pd Zc`T Y N V \ Y P V` N VcT Y N V,Z P V X d P [ cV,X O X d Z a P Y P V ¤ ijXV[ P U@X[ R , Ô b O X` N S P [ E W TW P Z P U£aT T `U ÒN q WX k Pb XU@`cU@T H 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 F \ XT d P [ a P [Á` N X d Z P [ÁWX Y Pb XU@`c"U@T cX[!X Pb ` N XVXV TaTZa N Y TUXa y§ ` P W P WXÔ b `XV Y N VÎWX k c b U N W P U@X[W N [ O cV` P [ d XgW N T V`X*Xa ae P U N ` dPyÑ ð L WX o XVTa Nq T Y N VyWX*aT«@XWcVWTV Y N T E C)[!cZ P V X d P [ c"X` P W P ¦[ a P [[!XV[ P U@X[¦` N XVXVwXa dN [ dP ` N X d Z P WXS N W T O Fs¤ = | U^_O [ RS]aW+jR H _ORSU J Y U^a}RSV n SR jRSW~Va \[ ] OU Z\ aW cX$XUnT Xa cX d X O P U@X[+U@X[!ca`TW P [£ZU P Wc Y T Q E R Xa y§ ` P W P WX Pb `XV Y N V¡WX k c b U N W P U@X[£V P W N [ O cV` P [m[!XexfVXa#TV`XU NP U]Tae P U N ` dP E ZTU@T W N [!` N V` P [mSTa P U@X[mWX aT `T[lT T \ • 1 # % 2 3 . f d X U P WX k c b U N W P UnX[mW N [ O cV` P [ H t L H p = {K ­ E K ¬ }E H = {K ¯ E K ® }Q \ N X d Z P W X k Pb X U@`cU@T H t \ • T + 1 # % 24 N X d Z P W X k P b XUn`ÒcU@T = s 3 4 F = J \ 2 f d XU P WX k c b U N W P U@X[ s = J ÇP [ k c b U N W P UnX[m[ P V L Ú Z Û U@XZ"U@X[!XV`T$Ta#[!XV[ P U K Q H °i±0² ³0´S²5°iµ0² ¶·´S²5°¹¸0² º0´S²5°i±0² »0´S²(°iµ0² ³0´S²5°i¸0² ¼·´S²5°i±0² ¶·´S²5°¹µ0² »0´S²5°i¸0² º0´S²5°i±0² ³0´S²5°iµ0² ¶·´S²5°i¸0² ¼·´S²5°i±0² »0´S²(°iµ0² ³0´S² °i¸0² º0´S²5°i±0² ¶·´S²5°¹µ0² »0´S²5°i¸0² ¼·´S²(°i±0² ³0´S²5°iµ0² ¶·´S²5°i¸0² º0´S²5°¹±0² »0´S²5°iµ0² ³0´S²5°i¸0² ¼·´S²5°i±0² ¶·´S²5°iµ0² »0´S²5°i¸0² º0´S²(°i±0² ³0´S² °iµ0² ¶·´S²5°i¸0² ¼·´ T 34 = J I\ 2 N X d Z P WX k Pb XUn`ÒcU@T = s f d XU P WX k c b U N W P U@X[ = ÇP [ k c b U N W P UnX[m[ P V H °i±0² ³0´S²5°iµ0² ¶·´S²5°i¸0² º0´S²5°¹±0² »0´S²5°¹µ0² ³0´S²5°i¸0² ¼·´S½ X dP [ c XøXa M T Y ` P U T = J I\ xZ U P Wc Y ø X Xa d N [ dP ` N X d Z P WX Y Pb X U@`cUnT cXøXa P b `XV N W P ZTU@T T = J \ F E ZXU P Y P V d XV P [ Y P d Zc `T Y N V \ o P U`TV` P X a M T Y ` P U T @U X c N X U@XWX cVT*TW"X Y cTW"TwXaX YY N VyS"Ta P U@TVW P Y P V O cV`T d XV`XaT d X O P U@T cX N V`U P Wc Y X L U@X[!Z"X Y ` P T a y§ ` P W P WX k c b U N W P UnX[ÈW N [ O cV` P [ Q M U@XV`XÊTa_` N X d Z P Ta N V Y UnX d XV` P W"Xa_` N X d Z P WX Y Pd Zc`T Y N V cX Y P VaaXS"T \ Xaa P WXW N Y TU@X dP [maT$[ N exc N XV`X [!X YY N V \ Fs ¹ X+YZ\[\[ RSU^]_2`ba#cda2e+fQghRicjR [ _W`b_#cd_W c Y Pd ZTU@TUnX dP [Xa Y Pd Z P U@`T dN XV` P WXa y§ ` P W P WX HY OU Z j_U^RSW¾}_{¿ Z W P Y V J _W M U@XV`X_Ta y§ ` P W P WX HY OU Z j_U^RSWÀ¿ Z W P Y V J _W \ o TU@T § [!`X_fa` NdP E u X dP [`U@T b T O TW P Y P VøXa Tae P U N ` dP¡Ñ XcU@[!` N Y P¡Ñ ðWX | RSVa [\Z cda SZ fV R T cX E Y PdP [!X$S NP XV¡[!c dPd XV` P E XU@T Xa cX d X O P U@X[mU@X[!ca`TW P [mZU P Wc Y T \ k PdP TV`X[ u X dP [ Y P V[ N WXU@TW Pd T`U N Y X[ÝWX k Pb XU@`cU@TexXV"XU@TW"T[ÝTaXT` P U N T d XV`X R«E [ Pb @U X Y TWTÁcVTÁWXÁXaaT[ E u X dP [X O X Y c`TW P Xa Ñ XcU@[!` N Y PÑ ð L o XVTa NÒq T Y N V Q ER Xa TV`XU NP U Ñ XcU@[!` N Y P­ÑL QÉL k c b U N W P U@X[¡V P W N [ O cV` P [ Q Y P V[ N WXUnTVW P W N [!` N V` P [¡STa P U@X[¡WXa M T Y ` P U E Y P V Y U@X`T d XV`X E u X dP [ Y P V[ N WXUnTW P H T = J \ J F E J \ EF J \ s E J I\ \ o TU@T­cVÃVf d XU P M@N O P WX PbO X` N S P [ H ] = F I E u X dP [ Y P V[ N WXUnTW P cVVf d XU P Y UnX Y N XV`XWX[!XV[ P UnX[ E W"X F J T J [!XV[ P U@X[wSTU N TVW P WX F J XV F J]\ C E Y PdP TV"`X[ E ZTUnT Y TWT Z"TUW"XySTa P U@X[ LÁ V E] Q exXV"XU@TW P t JY T[ P [ÝTa PbO X` P WX u TaaTUaT[ d XW N T[ WX¦a P [Ý` N X d Z P [ÝWX Y Pb XU@`cU@T Pb `XV N W P [ \ Ç T `T b aT [ N exc N XV`X d cX[!`UnT W N Y u P [mU@X[!ca`TW P [ ER § [!` P [m[!X U@X M aX O TVXVaT$exUnr M@N Y T Z P [!`XU NP U \ 2 ª Ì , ( 2 6 FJ tJ sJ ¥J I J J " % 2 I]\ ¥ ]¹ \ F Fs E ¥ F¤ \ t¥ \ ¥ s J]\ I 3 ]J \ J F I]\ ¤ ¹]\ ¤ ¹ F EF t J]\ s ¹ t ¸]\ ¤s ss \ I¹ 5 J]\ F I]\ ¤ ¹]\ ¤¥ F I E t]F F ¹]\ ¤ t \¸ st \ s  J]\ s I]\ Fs ¹]\ tt Fs E t F ¸]\ ¤ tt \ I t t ¹]\ t ]J \ I I]\ ¸I ¹]\ s I F¥ E ¤ ¸ F ¹]\ s I t I]\ ¤ st \ s I [ ZPw U T d bP [ d§ ` P W P [ E ZTU@TÁcV H N X d Z P [yWX Y P b XU@`cU@T d X W N P [yZU P "W c Y N W P y Vf d XU PM@N O P WX PbO X` N S P [ F¥ J | U^_O [ RS]aW+jR H _ORSU J Y U^a}RSV n SR jRSW~Va \[ ] OU Z\ aW 40 H2 35 q=0,01 q=0,1 Tiempos Medios de Cobertura 30 q=0,3 q=0,5 25 20 15 10 5 0 10 20 30 40 50 60 Número de Sensores ' # 7 H Õ nU r MnN Y T ZTUnT cVVf d XU PM@N O P W"X PbO X` N S P [ R Y U@X Y N XV`X W"X [!XV[ P U@X[ ^ VÄaTÈ[ N exc N XV`XÈ`T b aTÈUnXZX` NdP [ÃaTÈX"ZXU N XV Y N T Y Pd Zc`T Y NP VTa N VS N U@` N XVW P aT U@XaT Y N V[!X [!XV[ P UnX[ R PbgO X` N S P [ HY P V[ N WXU@T dP [+T u P U@T cVVf d XU PM@N O P WX V F I [!XV[ P U@X[ E R cVVf d XU P Y U@X Y N XV`X WX PbO X` N S P [ E WX[!WX F J T J E STU N TVW P WX F J XV F J]\ Ç¢ P [+U@X[!ca`TW P [ [!X S N [!cTa Nq TVXVaT [ N exc N XV`X exUnr M@N Y T \ Ì 2 , ª ( 2 6 FJ tJ sJ ¥J I J J % 2 ¸]\ s \ ¥ \¹ ¥ \¤ ¸]\ F \I 3 J]\ J F ¸]\ ¸ t ¸]\ ¥s I]\ ¸ F I]\ ¥s ¸]\ ¸]\ J t 5 J]\ F ¤ \ FF ¸]\ J s I]\ I]\ t ¹ ¸]\ ¥ I \¹ s  ]J \ s ¸]\ J s \I t ¥ \¹ s ¥ \¥ ¹ \¤ \I t ]J \ I ¸]\ ¸I \¤ I]\ F ¥ \ ¹I ¸]\ t I \ I H N X d Z P [øWX Y P b XU@`cU@T d XW NP [øZU P "W c Y N W P [øZ P U_T dbP [ d§ ` P W P [øZTU@TÜcV Vf d XU PM@N O P WX [!XV[ P UnX[ \ ( F¥]F X+YZ\[\[ RSU^]_2`ba#cda2e+fQghRicjR [ _W`b_#cd_W 9 8 Tiempos Medios de Cobertura 7 6 5 4 H2 q=0,01 3 q=0,1 2 q=0,3 q=0,5 1 0 10 20 30 40 50 60 Número de Objetivos ' # 8 H Õ nU r @M N Y T ZTU@T cVVf d X U P M@N O P WX$[!XV[ P U@X[yZXU P Y nU X Y N XV`X$WX PbO X` N S P [ Í X aÐX"T d XVW"X ` P W P [+a P [U@X[!ca`TW P [ Pb `XV N W P [ E Z P WX dP [+X[!`T b aX Y XU{aT[+[ N exc N XV`X[ Y P V Y ac[ NP VX[mU@X[!Z"X Y ` P Ta Y Pd Z P U@`T dN XV` P WX T dbP [ d§ ` P W P [ E XV` § U dN V P [mX[!`TW[!` N Y P [ H ^ a ae P U N ` dPÑL QÝL k c b U N W P U@X[V P W N [ O cV` P [ Q ZU P Wc Y X d X O P U@X[UnX[!ca`TW P [ cXXa • ae P U N ` dPÑ ð L o XVTa Nq T Y N V Q XVaT[W P [[ Nd caT Y NP VX[WX[ Y U N `T[ E ZXU P [!a P ZTU@T WX`XU dN VTWT[mS"Ta P U@X[mWX Tà ^ V_aT[eU@r M@N Y T[Z P WX dP [ Pb [!XU@STU c"Xa P [ d X O P UnX[U@X[!ca`TW P [[!XZ"U P Wc Y XV_ZTU@T • STa P U@X[_ZX c"XÓ P [_WX T HY P V Y UnX`T d XV`XøZTUnT T J]\ J F \ R T J]\ F \ ^ VÂaT[_W P [ exUnr M@N Y T[[!X Pb [!XU@S"T Y dP aT[aVXT[ Y P U@U@X[!Z P VW N XV`X[TwW N Y u P [ STa P U@X[ cXWTV [ N X d ZU@X Z P U]XV Y Nd T WX aT[mWX d r[ \ {T dbN§ V[!X Pb [!XU@S"T cXa P [ÝSTa P U@X[ N V`XU d XW NP [ÝWX TL Y PdÄP T J]\ s Q E Z"U P W"c O XU P V • ZX P U@X[U@X[!ca`TW P [ cXw` P W P [a P [WX d r[ E WX u X Y u P Xa Y Pd Z P U@`T dN XV` P ZTU@Tw`TaX[ STa P U@X[ M cX Z"X P U c"X Xa#W"Xa#Tae P U N ` dPÑ ð L k c b U N W P U@X[mW N [ O cV` P [ Q \ ^ aü` N X d Z P WX k Pb XU@`cU@T d XW N TV`X k c b U N W P U@X[ÝV P W N [ O cV` P [ÝTc d XV`TÊTaüW N [ dN Vc N U • Xa¦STa P UWX T E a P c"XT Y P V[!X O TXaXe N USTa P U@X[Z"X cXÓ P [wW"Xa¦ZTU@r d X`U P XVÁX[!`X d§ ` P W P E TcV cXX[!`TWX Y N [ N V u T R cX Y Ta Nb U@TU@aT Y P V­Xa£Tc d XV` P XV­` N X d Z P WX Y Pd Zc`T Y N V cX W N Y u T XaX YY N V Y P VaaXST \ F¥t | U^_O [ RS]aW+jR H _ORSU J Y U^a}RSV n SR jRSW~Va \[ ] OU Z\ aW ^ aÄTV`XU NP U Tae P U N ` dP ÑL Q Z"TU@T k c b U N W P @U X[öV P W N [ O cV` P [ôX[ M r Y N a d XV`X exXV"XU@Ta Nq T b aXÂTa Y T[ P W"XÂ[!XV[ P U@X[WXÂXVXUnexTV P u P dP e § VXT E P XV P `U@T[ZTaT b U@T[ E [!XV[ P U@X[ Y P VW NM XU@XV`X ` N X d Z P WX S N WT \ ^ [!` P X[ H • • o T U@` N dP [­T u P U@TøWX cX Y TWTø[!XV[ P U K z W N [!Z P VXøWXøcVÈ` N X d Z P WXøS N WT O z E P = F E E V L XVaceTU]W"X Ú O"ÛQ \ ijc[!` N `c dP [}XaTV`XU NP U` N X d Z P WXÅZTU@` N Y N ZT Y N VÆÚ TvO Û WX Y TWTÅ[!XV[ P UXVÆcxV k c b U N W P U Z P UcV ` N X d Z P M@N O P Ú Å Û E `Ta cX Å ≤ dN V {È z E Ç = F E É E Æ } L T[! exTU@TV` Nq T dP [ cX_` P W P [a P [[!XV[ P U@X[ZcXWXVø[!XU¡c` N a NÒq TW P [Ta d XV P [cVxT_SX qQ \ o TU@TÏXaa P E b T[!`T Y P V [!XaX YY NP VTU È = dN V {È z E Ç = F E Ê Æ }ER u T Y XU Å = Ë È E d TV`XV N XVW P aT `T[!T W"X Z"TU@` N Y N ZT Y N V w ∈ (< à ; ] \ k P V X[!`T[ dP W NM@N Y T Y NP VX[Z P WX dP [TZa N Y TUÝXapTV`ÒXU NP UÝTae P U N ` dP ZTU@TZU P a P VexTU Xa` N X d Z P WX Y Pb XU@`cU@TøWXaT}U@XW Y Ta Y caTVW P Xa d r NdP Vf d XU P WX k c b U N W P U@X[V P W N [ O cV` P [ E WX M@P U d T cX Y TWT}[!XV[ P U`XV"eT}cVÜ` N X d Z P WX}ZTU@` N Y N ZT Y N V Ú Å Û XVÜa P [ k c b U N W P U@X[$XVa P [ cX N V"`XU@SXV"exT P E X c N STaXV`X d XV`X Ej cX Y TWT k c b U N W P U£[!XT Y ` N SXZ P U cV,` N X d Z P Å \ {T dbN§ V,Xg[ XS N WXV`X cX¡Xa¢Tae P U N ` dP TV`XU NP U ÑL Q£L ZTUnT¡cV,` N X d Z P WX S N WT È u PdP e § VX PQ [!XZc"XWX Y P V[ N WXUnTU{cV Y T[ P ZTU@` N Y caTU{WX § [!`X E Y c"TVW P È z = È E ZTU@T ` P W P [ma P [m[!XV[ P U@X[ E"R Y cTVW P Î = Ì Í E L X c N STaXV`X d XV`X E Î Ì = Q \ Í " * # 9 : Y P V` N VcT Y N V dP [!`U@T dP [*Xa M cV Y NP V"T dN XV` P WXhX[!`TexXVXU@Ta Nq T Y N V[ Pb U@XhXa X O X d Za P S N [!cTa Nq TW P XVÁaTÏ N excUnT \ F J E XVÁW P V"WX Y P V[ N WXU@T dP [*cVÁX[ Y XVTU NP Y P V [!XV[ P U@X[+WX XV"XUnexT V P u PdP e § V"XT T Y `cTVW P [ Pb UnX I PbO X` N S P [ \ [ NdN [ dP ER Y PdP R T [lX [!XÓTaÉTa_ZU N V Y N Z NP WXÊX[!`X Y TZ`ca P E a P [Ü[!XV[ P U@X[ÜZcXWXVÉ`XVXU}W N [!` N Vx` P U@TVe P WX F¥s Ð+ÑÒ\Ó\Ó\Ô Ô {Ô Ó Í^ÕÖ2×bØ#ÙdØ2Ú+ÛQÜ Ù Ý Ö Þ×bÖ#ÙdÖÞ [!XV[ NbN a N WTW E X N V Y ac[ P Xa{rU@XT¡WXØ[!XV[ NbN a N WTW,WX cX$ZTUnT$X[!`T b aX Y XU¢aT d T`U Nq WX Y Pb XU@`cU@T b T[!`T Y P [!XV[ P U \ Y TWT[!XV[ P U£Zc"XWX¡V P [!XU Y N U Y caTU ER T V P Y XUa P [ PbO X` N S P [ Y c bN XU@` P [£Z P U Y TW"T T `U N q WX k Pb XU@`cU@T H 1 0 0 0 1 1 N X d Z P [ WXS N WT P `U@T cV N WTWWX ` N X d Ì Eß z Z P Q H = 1 1 0 0 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 F E Ê E E W X Y TWT[!XV[ P U L Zc"XWXUnXZUnX[!XV`TU u P UnT[ E P Y c"Ta c N XU à p à âá à ã ⬠äæåç%è\éê ëíì\îï#è\ë%ðNñòìióQô õ#ñöìióQñ÷ì\ø#ô õ#ñùìióQô õ#ñöì\ø#ñ Ëhû Ë]ì ð Ë]í ð ð Ëíú ; Ë]î ð ð( ' # â® ìióQñ Ë]ï H ^ O X d Za P Y P V[!XV[ P U@X[ R I PbO X` N S P [ F¥¥ ü Í^Ö Ì Ó\Ô Ô.ý Ì Ô Ñ ÔSÿ{Ô Ô ÿ Ó Ì Ò ÕØÞ+Ý Ö Í^þ ^Í Ø Ý Þ Ø Õ Í Ø Þ o T U@T M T Y N a N `TU¦aTwaX Y `cU@TWXaÝZU P Y X[ P E aT d T`U Nq WX Y Pb XU@`cU@T[!XS N [!cTa Nq T d XW N TV`XaT [ N exc N XV`X}`T b aT \ ^ a¡Vf d XU P XV`U@X}Z"TU § V`X[ N [_X[­Xaõ` N X d Z P W"X}S N WT WX Y TW"T}[!XV[ P U \ k aTU@T d XV`X E Ì = dN V {Ì z E ß = EF Ê E } = F \ à p à p á ã þ¬ þ â á à ã â ¬ â ® • à à p p âá à ã ⬠⮠^ V X[!`T [ Nd caT Y N V E ` Pd TU@X dP [ Î = F \ o P UÉ`TV` P = Î Ì = F E a P cX [ N exV NM@N Y T Í c X Y TW"T[!XV[ P U*Zc"XWXZTU@` N Y N Z"TU]XV Y TWT k c b U N W P U]Wc"U@TV"`X F u P U@T \ âÔSÿ > Í N [!Z P V N b a X[ â E Ì ß Ô > k c bN XU@` P [ Þ N X d Z P [mU@X[ N WcTaX [ H z = Ì z E ß = F E Ê E N X d Z P WX ZTU@` N Y N ZT Y Í N V = Í #a ZU N V Y N Z NP E ^ a U@X[!ca`TW PM@N VTaWXZXVWX Pb S N T d XV`X WX aT `T[!T WXZ"TU@` N Y N Z"T Y N V Î cX [!X M@N O X E P X c N STaXV`X d XV`X E WXa#` N X d Z P WX S N WT WX Y TW"T k c b U N W P U \ Í á þ ã þ¬ á ã þ þ } þ = {þ p â = {â p â â á â ¬ â ® } E ∅ à p p z = × p + F¥ I Íz Í à z ( ( âá à ã ( ⬠⮠( ( ( Ð+ÑÒ\Ó\Ó\Ô Ô {Ô Ó Í^ÕÖ2×bØ#ÙdØ2Ú+ÛQÜ Ù Ý Ö Þ×bÖ#ÙdÖÞ â z =× p + ²w\>w 3 «\ xv w ybv ¥ w â ¦! % à ¦! ¦! #$ ¦ & z \u ya>w ~ z u #u " u u u ~ ~ 6¡¦ '*) >w uK w\ >w` K >\w`yZ w\ a y y¥\ ( à p ⬠⮠+ p = {à } p Ì ß Ô-,./0124356798 { á ã ¬ } þ þ þ þ â â â â z þ = {þ p } u = { p ¬ ® } â â : ¦! : $ ¦ z ( z u u % â ¬ ý p = {â â ¬ }¦ Ì ß Ô-,./0;124356798 = = { p á ã ¬ } 24>56>?4247 þ þ<þ þ þ ²w\>w 2 â ý ! < Í z = Í z −Í ∀ z ∈ p x = Í ¬ = âÔSÿ ,UB17OL6>10R24798 {â p â á â ã â ¬ â ® } 7O2WVQX24R1KY1>Q4P6 à Ì ß Þ -Ô ,./0124356798 ∅ AB.CEDBAGFEHJIEA CE124KML6N3247O1P/Q4RTS • [ à ã ⬠⮠Z à p âá @ p á þ ã þ¬ á ã þ = {þ p þ þ þ } â = {â p â á â ã â ¬ â ® } p z â z % â ® à p âá à ã ( ( ⬠⮠( ( ü Í^Ö Ì Ó\Ô Ô.ý Ì Ô Ñ ÔSÿ{Ô Ô ÿ Ó Ì Ò ÕØÞ+Ý Ö Í^þ ^Í Ø Ý Þ Ø Õ Í Ø Þ ý â âá Ì = { ® }u ß -Ô ,./0124356798 { p á ¬ } p þ þ þ þ ã â â á â ã þ = {þ }u = { } z % â á â z ( ý = {â á â ® } u Ì ß -Ô ,./01243567]8 = = { p á ã ¬ } 24>56>?4247 þ þ<þ þ þ ²w\>w 2 AB.CEDBAGFEHJIEA c à ã ⬠p ( ã þ¬ = Í z −Í ∀ â z ∈ ý ! Í á = ` á þ Íz á þ = {þ } â = {â á } ® % â á w ý á = {â á } Ì ß -Ô ,./0124356798 { á ã } p þ þ â â â ã â þ þ ¬ }u = { p ¬ } þ = {þ pa z % â ¬ â z ý á = {â á â ¬ } Ì ß -Ô ,./01243567]8 = = { p á ã ¬ } 24>56>?4247 þ þ<þ þ þ ²w\>w 2 ® Í âÔSÿ ,UB17OL6>10R24798 {â p â á â ã â ¬ } 7O2WVQX24R1KY1>Q4P6 â ® Þ Ì ß Ô-,./0124356798 ∅ à p âá ^ CE124KML6N3247O1P/Q4RTS • à ã b \ à p à ã ( ⬠( =_ Ð+ÑÒ\Ó\Ó\Ô Ô {Ô Ó Í^ÕÖ2×bØ#ÙdØ2Ú+ÛQÜ Ù Ý Ö Þ×bÖ#ÙdÖÞ AB.CEDBAGFEHJIEA .6KY6 CE124KYL6e3247O1P/Q4RTS â ý á ! á ¬ = _ Í âÔSÿ ,UB17OL6>10R24798 {à p­à à ã } 7O2WVQ4>f24R1KY1>Q4P6 âhá g â ¬ i Þ â ÔSÿ ,UB17OL6>10R247j>6k?4/0324> = 24>56>?42-7lS Þ ý p = {â â ¬ } ý u â á â ®} ý á u ={ Íz = Í z −Í ∀ z ∈ Í =_ â á â ¬ }¦ 1 ~_¦ w ²w\b¡¥\ ® ¢w\ ={ FmQ4797O1on;/124>5247pn3q4r1o?4Q479s1o7O/Q4R1t-Q4>kRQW?4602435/3QWPu2W?-Q4PQW.6>vT/>56k./031P63iS w ý p = {â â ¬ } Ëhû Ë]ì ð Ë]í Ë]î ð ð ð( ð Ëíú Ë]ï d ü w ý Í^Ö Ì Ó\Ô Ô.ý Ì Ô Ñ ÔSÿ{Ô Ô ÿ Ó Ì Ò ÕØÞ+Ý Ö Í^þ ^Í Ø Ý Þ Ø Õ Í Ø Þ â á â ®} ={ Ëhû Ë]ì Ë]í ð ð Ë]î ð ð( ð w Ëíú ý á Ë]ï â á â ¬} ={ Ëhû Ë]ì ð Ë]í Ë]î ð ð ð( ð Ëíú Ë]ï x Ð+ÑÒ\Ó\Ó\Ô Ô {Ô Ó Í^ÕÖ2×bØ#ÙdØ2Ú+ÛQÜ Ù Ý Ö Þ×bÖ#ÙdÖÞ mF Qy7O1on;/124>52X5Q40RoQXKY/247O53zQ 7O6032y24R{KY17OKY6f2TvT24KYLRo6 R67p3247O/R5Q4P67 24>f5124KML6fP2 ?4602435/3zQ }| /2~7O260512->24>Q4RsQ-31Q43}RoQ5Q47OQPu2LQ4351?41LQ-?41> Î .6KM67O2L/24Pu2 ?46KYL360Q43 5Q4R247y3247O/R5Q4Pu67y7O2fQTvT/7O5Q4>QfRQ47y?46>?4R/7O16>247y247O5Q40R24?41PQ47y24>RQf24 uL243124>?41Q ?46KYL/5Q4?416>Q4RP2RoQ7O24?-?-1>Q4>5243163 24>P6>P2~72?46KYL360 | /u2 Q4RP17OKM1>/13]24RsQ4R63 P2 Î Q4/KY24>5Q40uQW24R5124KYL6kP2W?4602435/u3QS m9- z-¡O¢ £¤z¥X¦{¡W9E¡{¨§©-Oª _ d _ x _ _ _ _ _ _ _ _ x\ x\ RP245Q4RR2WP2WQ4Ron;/>679P2X247O56793247O/R5Q4P67j7O2W6r3z24?-2WQW?46>51>/Q-?41>S Î = Î =_ 3 4 EC 124KL6 P 2 .602435/3Q = ./031P63247lS 2 K243z6 P2 ./031P63247 = 3 4 EC 124KL6 P 2 .602435/3Q = 2 K243z6 P2 ./031P63247 = d ./031P63247lSY EC 124KL6 P 2 . 602435/3Q 3 4 =_ 2 K243z6 P2 ./ 031P63247 == Î ./031P63247lS Î =_ 3 4 EC 124KL6 P 2 . 602435/3Q = 2 K243z6 P2 ./ 031P63247 = ./031P63247lS _ ü Î Í^Ö Ì Ó\Ô Ô.ý Ì Ô Ñ ÔSÿ{Ô Ô ÿ Ó Ì Ò ÕØÞ+Ý Ö Í^þ ^Í Ø Ý Þ Ø Õ Í Ø Þ CE124KL6 P 2 . 602435/3Q 3 4 = =_ _ 2 K243z6 P2 ./ 031P63247 = ./031P63247lS Ð+ÑÒ\Ó\Ó\Ô Ô {Ô Ó Í^ÕÖ2×bØ#ÙdØ2Ú+ÛQÜ Ù Ý Ö Þ×bÖ#ÙdÖÞ